diff --git a/.gitattributes b/.gitattributes index a0158bb381822cf4675c97597f53dc2461dde1d9..8fa5e9834741a384d25c61a2f0b43a16e539b593 100644 --- a/.gitattributes +++ b/.gitattributes @@ -212,3 +212,5 @@ code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packag code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/google/_upb/_message.abi3.so filter=lfs diff=lfs merge=lfs -text code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/hf_xet/hf_xet.abi3.so filter=lfs diff=lfs merge=lfs -text code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/multidict/_multidict.cpython-310-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text +code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft_umath.cpython-310-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text +code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_umath_linalg.cpython-310-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/INSTALLER b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/INSTALLER new file mode 100644 index 0000000000000000000000000000000000000000..a1b589e38a32041e49332e5e81c2d363dc418d68 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/INSTALLER @@ -0,0 +1 @@ +pip diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/LICENSE.txt b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/LICENSE.txt new file mode 100644 index 0000000000000000000000000000000000000000..100b4bffb00abd785f61fca42fea2ab74a70d7f7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/LICENSE.txt @@ -0,0 +1,37 @@ +NetworkX is distributed with the 3-clause BSD license. + +:: + + Copyright (C) 2004-2024, NetworkX Developers + Aric Hagberg + Dan Schult + Pieter Swart + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are + met: + + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + + * Redistributions in binary form must reproduce the above + copyright notice, this list of conditions and the following + disclaimer in the documentation and/or other materials provided + with the distribution. + + * Neither the name of the NetworkX Developers nor the names of its + contributors may be used to endorse or promote products derived + from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR + A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT + OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT + LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, + DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY + THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/METADATA b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/METADATA new file mode 100644 index 0000000000000000000000000000000000000000..d58e657ddce0e7c75a20b69ec6e09af64db5c1aa --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/METADATA @@ -0,0 +1,165 @@ +Metadata-Version: 2.1 +Name: networkx +Version: 3.4.2 +Summary: Python package for creating and manipulating graphs and networks +Author-email: Aric Hagberg +Maintainer-email: NetworkX Developers +Project-URL: Homepage, https://networkx.org/ +Project-URL: Bug Tracker, https://github.com/networkx/networkx/issues +Project-URL: Documentation, https://networkx.org/documentation/stable/ +Project-URL: Source Code, https://github.com/networkx/networkx +Keywords: Networks,Graph Theory,Mathematics,network,graph,discrete mathematics,math +Platform: Linux +Platform: Mac OSX +Platform: Windows +Platform: Unix +Classifier: Development Status :: 5 - Production/Stable +Classifier: Intended Audience :: Developers +Classifier: Intended Audience :: Science/Research +Classifier: License :: OSI Approved :: BSD License +Classifier: Operating System :: OS Independent +Classifier: Programming Language :: Python :: 3 +Classifier: Programming Language :: Python :: 3.10 +Classifier: Programming Language :: Python :: 3.11 +Classifier: Programming Language :: Python :: 3.12 +Classifier: Programming Language :: Python :: 3.13 +Classifier: Programming Language :: Python :: 3 :: Only +Classifier: Topic :: Software Development :: Libraries :: Python Modules +Classifier: Topic :: Scientific/Engineering :: Bio-Informatics +Classifier: Topic :: Scientific/Engineering :: Information Analysis +Classifier: Topic :: Scientific/Engineering :: Mathematics +Classifier: Topic :: Scientific/Engineering :: Physics +Requires-Python: >=3.10 +Description-Content-Type: text/x-rst +License-File: LICENSE.txt +Provides-Extra: default +Requires-Dist: numpy >=1.24 ; extra == 'default' +Requires-Dist: scipy !=1.11.0,!=1.11.1,>=1.10 ; extra == 'default' +Requires-Dist: matplotlib >=3.7 ; extra == 'default' +Requires-Dist: pandas >=2.0 ; extra == 'default' +Provides-Extra: developer +Requires-Dist: changelist ==0.5 ; extra == 'developer' +Requires-Dist: pre-commit >=3.2 ; extra == 'developer' +Requires-Dist: mypy >=1.1 ; extra == 'developer' +Requires-Dist: rtoml ; extra == 'developer' +Provides-Extra: doc +Requires-Dist: sphinx >=7.3 ; extra == 'doc' +Requires-Dist: pydata-sphinx-theme >=0.15 ; extra == 'doc' +Requires-Dist: sphinx-gallery >=0.16 ; extra == 'doc' +Requires-Dist: numpydoc >=1.8.0 ; extra == 'doc' +Requires-Dist: pillow >=9.4 ; extra == 'doc' +Requires-Dist: texext >=0.6.7 ; extra == 'doc' +Requires-Dist: myst-nb >=1.1 ; extra == 'doc' +Requires-Dist: intersphinx-registry ; extra == 'doc' +Provides-Extra: example +Requires-Dist: osmnx >=1.9 ; extra == 'example' +Requires-Dist: momepy >=0.7.2 ; extra == 'example' +Requires-Dist: contextily >=1.6 ; extra == 'example' +Requires-Dist: seaborn >=0.13 ; extra == 'example' +Requires-Dist: cairocffi >=1.7 ; extra == 'example' +Requires-Dist: igraph >=0.11 ; extra == 'example' +Requires-Dist: scikit-learn >=1.5 ; extra == 'example' +Provides-Extra: extra +Requires-Dist: lxml >=4.6 ; extra == 'extra' +Requires-Dist: pygraphviz >=1.14 ; extra == 'extra' +Requires-Dist: pydot >=3.0.1 ; extra == 'extra' +Requires-Dist: sympy >=1.10 ; extra == 'extra' +Provides-Extra: test +Requires-Dist: pytest >=7.2 ; extra == 'test' +Requires-Dist: pytest-cov >=4.0 ; extra == 'test' + +NetworkX +======== + + +.. image:: + https://github.com/networkx/networkx/workflows/test/badge.svg?branch=main + :target: https://github.com/networkx/networkx/actions?query=workflow%3Atest + +.. image:: + https://codecov.io/gh/networkx/networkx/branch/main/graph/badge.svg? + :target: https://app.codecov.io/gh/networkx/networkx/branch/main + +.. image:: + https://img.shields.io/pypi/v/networkx.svg? + :target: https://pypi.python.org/pypi/networkx + +.. image:: + https://img.shields.io/pypi/l/networkx.svg? + :target: https://github.com/networkx/networkx/blob/main/LICENSE.txt + +.. image:: + https://img.shields.io/pypi/pyversions/networkx.svg? + :target: https://pypi.python.org/pypi/networkx + +.. image:: + https://img.shields.io/github/labels/networkx/networkx/good%20first%20issue?color=green&label=contribute + :target: https://github.com/networkx/networkx/contribute + + +NetworkX is a Python package for the creation, manipulation, +and study of the structure, dynamics, and functions +of complex networks. + +- **Website (including documentation):** https://networkx.org +- **Mailing list:** https://groups.google.com/forum/#!forum/networkx-discuss +- **Source:** https://github.com/networkx/networkx +- **Bug reports:** https://github.com/networkx/networkx/issues +- **Report a security vulnerability:** https://tidelift.com/security +- **Tutorial:** https://networkx.org/documentation/latest/tutorial.html +- **GitHub Discussions:** https://github.com/networkx/networkx/discussions +- **Discord (Scientific Python) invite link:** https://discord.com/invite/vur45CbwMz +- **NetworkX meetings calendar (open to all):** https://scientific-python.org/calendars/networkx.ics + +Simple example +-------------- + +Find the shortest path between two nodes in an undirected graph: + +.. code:: pycon + + >>> import networkx as nx + >>> G = nx.Graph() + >>> G.add_edge("A", "B", weight=4) + >>> G.add_edge("B", "D", weight=2) + >>> G.add_edge("A", "C", weight=3) + >>> G.add_edge("C", "D", weight=4) + >>> nx.shortest_path(G, "A", "D", weight="weight") + ['A', 'B', 'D'] + +Install +------- + +Install the latest released version of NetworkX: + +.. code:: shell + + $ pip install networkx + +Install with all optional dependencies: + +.. code:: shell + + $ pip install networkx[default] + +For additional details, +please see the `installation guide `_. + +Bugs +---- + +Please report any bugs that you find `here `_. +Or, even better, fork the repository on `GitHub `_ +and create a pull request (PR). We welcome all changes, big or small, and we +will help you make the PR if you are new to `git` (just ask on the issue and/or +see the `contributor guide `_). + +License +------- + +Released under the `3-Clause BSD license `_:: + + Copyright (C) 2004-2024 NetworkX Developers + Aric Hagberg + Dan Schult + Pieter Swart diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/RECORD b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/RECORD new file mode 100644 index 0000000000000000000000000000000000000000..e53c55bfafd83ecf593358f7229f59bd6804092c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/RECORD @@ -0,0 +1,1149 @@ +networkx-3.4.2.dist-info/INSTALLER,sha256=zuuue4knoyJ-UwPPXg8fezS7VCrXJQrAP7zeNuwvFQg,4 +networkx-3.4.2.dist-info/LICENSE.txt,sha256=W0M7kPdV65u9Bv7_HRpPXyMsUgihhWlBmeRfqV12J5I,1763 +networkx-3.4.2.dist-info/METADATA,sha256=LlJl3ah27zxE_vqelVNJm8VkyJoWyV44va-bq8VW0dc,6349 +networkx-3.4.2.dist-info/RECORD,, +networkx-3.4.2.dist-info/WHEEL,sha256=OVMc5UfuAQiSplgO0_WdW7vXVGAt9Hdd6qtN4HotdyA,91 +networkx-3.4.2.dist-info/entry_points.txt,sha256=H2jZaDsDJ_i9H2SwWpwuFel8BrZ9xHKuvh-DQAWW9lQ,94 +networkx-3.4.2.dist-info/top_level.txt,sha256=s3Mk-7KOlu-kD39w8Xg_KXoP5Z_MVvgB-upkyuOE4Hk,9 +networkx/__init__.py,sha256=vV-bYyml9JK5OV8Ic_dctL5ZGR5NqwF4fzd4msR2b9U,1274 +networkx/__pycache__/__init__.cpython-310.pyc,, +networkx/__pycache__/conftest.cpython-310.pyc,, +networkx/__pycache__/convert.cpython-310.pyc,, +networkx/__pycache__/convert_matrix.cpython-310.pyc,, +networkx/__pycache__/exception.cpython-310.pyc,, +networkx/__pycache__/lazy_imports.cpython-310.pyc,, +networkx/__pycache__/relabel.cpython-310.pyc,, +networkx/algorithms/__init__.py,sha256=oij1HDNcE7GhTPAtuHYT8eGZdH4K_vYaha51X5XoUCY,6559 +networkx/algorithms/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/__pycache__/asteroidal.cpython-310.pyc,, +networkx/algorithms/__pycache__/boundary.cpython-310.pyc,, +networkx/algorithms/__pycache__/bridges.cpython-310.pyc,, +networkx/algorithms/__pycache__/broadcasting.cpython-310.pyc,, +networkx/algorithms/__pycache__/chains.cpython-310.pyc,, +networkx/algorithms/__pycache__/chordal.cpython-310.pyc,, +networkx/algorithms/__pycache__/clique.cpython-310.pyc,, +networkx/algorithms/__pycache__/cluster.cpython-310.pyc,, +networkx/algorithms/__pycache__/communicability_alg.cpython-310.pyc,, +networkx/algorithms/__pycache__/core.cpython-310.pyc,, +networkx/algorithms/__pycache__/covering.cpython-310.pyc,, +networkx/algorithms/__pycache__/cuts.cpython-310.pyc,, +networkx/algorithms/__pycache__/cycles.cpython-310.pyc,, +networkx/algorithms/__pycache__/d_separation.cpython-310.pyc,, +networkx/algorithms/__pycache__/dag.cpython-310.pyc,, +networkx/algorithms/__pycache__/distance_measures.cpython-310.pyc,, +networkx/algorithms/__pycache__/distance_regular.cpython-310.pyc,, +networkx/algorithms/__pycache__/dominance.cpython-310.pyc,, +networkx/algorithms/__pycache__/dominating.cpython-310.pyc,, +networkx/algorithms/__pycache__/efficiency_measures.cpython-310.pyc,, +networkx/algorithms/__pycache__/euler.cpython-310.pyc,, +networkx/algorithms/__pycache__/graph_hashing.cpython-310.pyc,, +networkx/algorithms/__pycache__/graphical.cpython-310.pyc,, +networkx/algorithms/__pycache__/hierarchy.cpython-310.pyc,, +networkx/algorithms/__pycache__/hybrid.cpython-310.pyc,, +networkx/algorithms/__pycache__/isolate.cpython-310.pyc,, +networkx/algorithms/__pycache__/link_prediction.cpython-310.pyc,, +networkx/algorithms/__pycache__/lowest_common_ancestors.cpython-310.pyc,, +networkx/algorithms/__pycache__/matching.cpython-310.pyc,, +networkx/algorithms/__pycache__/mis.cpython-310.pyc,, +networkx/algorithms/__pycache__/moral.cpython-310.pyc,, +networkx/algorithms/__pycache__/node_classification.cpython-310.pyc,, +networkx/algorithms/__pycache__/non_randomness.cpython-310.pyc,, +networkx/algorithms/__pycache__/planar_drawing.cpython-310.pyc,, +networkx/algorithms/__pycache__/planarity.cpython-310.pyc,, +networkx/algorithms/__pycache__/polynomials.cpython-310.pyc,, +networkx/algorithms/__pycache__/reciprocity.cpython-310.pyc,, +networkx/algorithms/__pycache__/regular.cpython-310.pyc,, +networkx/algorithms/__pycache__/richclub.cpython-310.pyc,, +networkx/algorithms/__pycache__/similarity.cpython-310.pyc,, +networkx/algorithms/__pycache__/simple_paths.cpython-310.pyc,, +networkx/algorithms/__pycache__/smallworld.cpython-310.pyc,, +networkx/algorithms/__pycache__/smetric.cpython-310.pyc,, +networkx/algorithms/__pycache__/sparsifiers.cpython-310.pyc,, +networkx/algorithms/__pycache__/structuralholes.cpython-310.pyc,, +networkx/algorithms/__pycache__/summarization.cpython-310.pyc,, +networkx/algorithms/__pycache__/swap.cpython-310.pyc,, +networkx/algorithms/__pycache__/threshold.cpython-310.pyc,, +networkx/algorithms/__pycache__/time_dependent.cpython-310.pyc,, +networkx/algorithms/__pycache__/tournament.cpython-310.pyc,, +networkx/algorithms/__pycache__/triads.cpython-310.pyc,, +networkx/algorithms/__pycache__/vitality.cpython-310.pyc,, +networkx/algorithms/__pycache__/voronoi.cpython-310.pyc,, +networkx/algorithms/__pycache__/walks.cpython-310.pyc,, +networkx/algorithms/__pycache__/wiener.cpython-310.pyc,, +networkx/algorithms/approximation/__init__.py,sha256=CydjSsAU3qlxRwDTvgLyjQRgIuhL1e1STrjPdfqtfSE,1178 +networkx/algorithms/approximation/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/clique.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/clustering_coefficient.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/connectivity.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/distance_measures.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/dominating_set.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/kcomponents.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/matching.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/maxcut.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/ramsey.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/steinertree.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/traveling_salesman.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/treewidth.cpython-310.pyc,, +networkx/algorithms/approximation/__pycache__/vertex_cover.cpython-310.pyc,, +networkx/algorithms/approximation/clique.py,sha256=b4cnWMJXmmgCyjMI8A_doHZeKS_RQbGqm2L01OpT_Jg,7691 +networkx/algorithms/approximation/clustering_coefficient.py,sha256=SWpSLEhW3DJc1n2fHlSbJSGg3wdoJkN5Y4_tnntn0Ws,2164 +networkx/algorithms/approximation/connectivity.py,sha256=aVXSfUiWEG4gUL0R1u6WZ-h-wheuLP1_suO_pRFB8M4,13118 +networkx/algorithms/approximation/distance_measures.py,sha256=UEkmKagNw9sj8kiUDdbAeYuzvZ31pgLMXqzliqMkG84,5805 +networkx/algorithms/approximation/dominating_set.py,sha256=5fC90w1CgYR4Xkpqact8iukKY0i57bMmyJW-A9CToUQ,4710 +networkx/algorithms/approximation/kcomponents.py,sha256=MDkoyQbk0gSAm3ZZK35VOsiLJDv7wiDsxfzH5O-ObFs,13285 +networkx/algorithms/approximation/matching.py,sha256=PFof5m9AIq9Xr5Kaa_-mYxI1IBBP7HEkjf-R9wVE3bo,1175 +networkx/algorithms/approximation/maxcut.py,sha256=eTQZqsDQAAUaufni-aDJAY2UzIcajDhRMdj-AcqVkPs,4333 +networkx/algorithms/approximation/ramsey.py,sha256=W5tX7BOQJIM_qNsBeUhCXVWMD8DFdeTycYyk08k4Sqk,1358 +networkx/algorithms/approximation/steinertree.py,sha256=dbPciMrLHmb1XWa0v7-v3qNFJ3Z7pZD0n4RAGF8eob4,8048 +networkx/algorithms/approximation/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/approximation/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_approx_clust_coeff.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_clique.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_connectivity.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_distance_measures.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_dominating_set.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_kcomponents.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_matching.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_maxcut.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_ramsey.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_steinertree.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_traveling_salesman.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_treewidth.cpython-310.pyc,, +networkx/algorithms/approximation/tests/__pycache__/test_vertex_cover.cpython-310.pyc,, +networkx/algorithms/approximation/tests/test_approx_clust_coeff.py,sha256=PGOVEKf2BcJu1vvjZrgTlBBpwM8V6t7yCANjyS9nWF0,1171 +networkx/algorithms/approximation/tests/test_clique.py,sha256=s6HQB-lK3RAu_ftpe2NvIiMu0Ol8tpAdbGvWzucNL6k,3021 +networkx/algorithms/approximation/tests/test_connectivity.py,sha256=gDG6tsgP3ux7Dgu0x7r0nso7_yknIxicV42Gq0It5pc,5952 +networkx/algorithms/approximation/tests/test_distance_measures.py,sha256=axgOojplJIgXdopgkjxjAgvzGTQ1FV1oJ5NG-7ICalo,2023 +networkx/algorithms/approximation/tests/test_dominating_set.py,sha256=l4pBDY7pK7Fxw-S4tOlNcxf-j2j5GpHPJ9f4TrMs1sI,2686 +networkx/algorithms/approximation/tests/test_kcomponents.py,sha256=tTljP1FHzXrUwi-oBz5AQcibRw1NgR4N5UE0a2OrOUA,9346 +networkx/algorithms/approximation/tests/test_matching.py,sha256=nitZncaM0605kaIu1NO6_5TFV2--nohUCO46XTD_lnM,186 +networkx/algorithms/approximation/tests/test_maxcut.py,sha256=U6CDZFSLfYDII-1nX9XB7avSz10kTx88vNazJFoLQ1k,2804 +networkx/algorithms/approximation/tests/test_ramsey.py,sha256=h36Ol39csHbIoTDBxbxMgn4371iVUGZ3a2N6l7d56lI,1143 +networkx/algorithms/approximation/tests/test_steinertree.py,sha256=rxkj8OWDWFqSE5MI3XC4NSOgyNUzYVfxKSskutOPtbQ,9671 +networkx/algorithms/approximation/tests/test_traveling_salesman.py,sha256=lLnnWvs88JBkhkf4Cg8qBipSvRnjn9W9WvOKZ-Gew6Q,30842 +networkx/algorithms/approximation/tests/test_treewidth.py,sha256=MWFFcmjO0QxM8FS8iXSCtfGnk6eqG2kFyv1u2qnSeUo,9096 +networkx/algorithms/approximation/tests/test_vertex_cover.py,sha256=FobHNhG9CAMeB_AOEprUs-7XQdPoc1YvfmXhozDZ8pM,1942 +networkx/algorithms/approximation/traveling_salesman.py,sha256=af4HEUYtuoulBpAQZJT2zqoUu8x08NtL1cQL5uGqe9E,55943 +networkx/algorithms/approximation/treewidth.py,sha256=Yu944jTE9MODBo1QiZjxbAGmHiC5MXZZTNV1YrLfz9o,8216 +networkx/algorithms/approximation/vertex_cover.py,sha256=oIi_yg5O-IisnfmrSof1P4HD-fsZpW69RpvkR_SM5Og,2803 +networkx/algorithms/assortativity/__init__.py,sha256=ov3HRRbeYB_6Qezvxp1OTl77GBpw-EWkWGUzgfT8G9c,294 +networkx/algorithms/assortativity/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/assortativity/__pycache__/connectivity.cpython-310.pyc,, +networkx/algorithms/assortativity/__pycache__/correlation.cpython-310.pyc,, +networkx/algorithms/assortativity/__pycache__/mixing.cpython-310.pyc,, +networkx/algorithms/assortativity/__pycache__/neighbor_degree.cpython-310.pyc,, +networkx/algorithms/assortativity/__pycache__/pairs.cpython-310.pyc,, +networkx/algorithms/assortativity/connectivity.py,sha256=-V0C5MTqtErl86N-gyrZ487MUyiG5x1QFEZKurOpIJA,4220 +networkx/algorithms/assortativity/correlation.py,sha256=0rc4FDi-e8eQRia7gpFrTqjIy-J7V2GtSwOb4QN6WZk,8689 +networkx/algorithms/assortativity/mixing.py,sha256=RRqqkuVwo71LosJLDbeVCVBikqC7I_XZORdsonQsf9Y,7586 +networkx/algorithms/assortativity/neighbor_degree.py,sha256=UMaQWKBkOZ0ZgC8xGt5fXEz8OL1rgwYjt2zKbKEqofI,5282 +networkx/algorithms/assortativity/pairs.py,sha256=w7xnaWxDDteluHoCsqunLlcM6nlcBenO_5Nz87oOEnE,3841 +networkx/algorithms/assortativity/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/assortativity/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/assortativity/tests/__pycache__/base_test.cpython-310.pyc,, +networkx/algorithms/assortativity/tests/__pycache__/test_connectivity.cpython-310.pyc,, +networkx/algorithms/assortativity/tests/__pycache__/test_correlation.cpython-310.pyc,, +networkx/algorithms/assortativity/tests/__pycache__/test_mixing.cpython-310.pyc,, +networkx/algorithms/assortativity/tests/__pycache__/test_neighbor_degree.cpython-310.pyc,, +networkx/algorithms/assortativity/tests/__pycache__/test_pairs.cpython-310.pyc,, +networkx/algorithms/assortativity/tests/base_test.py,sha256=MNeQMLA3oBUCM8TSyNbBQ_uW0nDc1GEZYdNdUwePAm4,2651 +networkx/algorithms/assortativity/tests/test_connectivity.py,sha256=Js841GQLYTLWvc6xZhnyqj-JtyrnS0ska1TFYntxyXA,4978 +networkx/algorithms/assortativity/tests/test_correlation.py,sha256=1_D9GjLDnlT8Uy28lUn2fS1AHp2XBwiMpIl2OhRNDXk,5069 +networkx/algorithms/assortativity/tests/test_mixing.py,sha256=u-LIccNn-TeIAM766UtzUJQlY7NAbxF4EsUoKINzmlo,6820 +networkx/algorithms/assortativity/tests/test_neighbor_degree.py,sha256=ODP2M8jCaFr_l3ODwpwaz20-KqU2IFaEfJRBK53mpE8,3968 +networkx/algorithms/assortativity/tests/test_pairs.py,sha256=t05qP_-gfkbiR6aTLtE1owYl9otBSsuJcRkuZsa63UQ,3008 +networkx/algorithms/asteroidal.py,sha256=jbN_MmETkCGpSvUWW6W8_Qqa3Syay2BwkX9odcyQFfk,5865 +networkx/algorithms/bipartite/__init__.py,sha256=811Xu3D1Qx8ncqRshHoN3gWZ_A04Hb2qxzoGuc5vBa4,3825 +networkx/algorithms/bipartite/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/basic.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/centrality.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/cluster.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/covering.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/edgelist.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/extendability.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/generators.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/matching.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/matrix.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/projection.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/redundancy.cpython-310.pyc,, +networkx/algorithms/bipartite/__pycache__/spectral.cpython-310.pyc,, +networkx/algorithms/bipartite/basic.py,sha256=JPC2gGuPvFA6q2CuI5mqLX_9QUGxrsQ8cIwcS0e9P4U,8375 +networkx/algorithms/bipartite/centrality.py,sha256=G280bAqeyXyCmes5NpRqUv2Tc-EHWrMshJ3_f4uqV9U,9156 +networkx/algorithms/bipartite/cluster.py,sha256=ZDAo7NM69woVY8fNwRjbAz6Wwb99CE650lMmv1v0Omc,6935 +networkx/algorithms/bipartite/covering.py,sha256=B3ITc016Kk70NBv-1lb30emXnfjlMIQJ7M-FIPCZip0,2163 +networkx/algorithms/bipartite/edgelist.py,sha256=l6JqWqedRGde0sOz7oLK-xe9azq_VEYec0-GPlFUIbg,11364 +networkx/algorithms/bipartite/extendability.py,sha256=OrYHlS4ruQST-dlQOuleiqHFKpVVNOvrG5aDNFgfckg,3989 +networkx/algorithms/bipartite/generators.py,sha256=PfnR6S9gKw5OK_JuGMChltWxyd_i8_KYFq1WpRlsL-A,20439 +networkx/algorithms/bipartite/matching.py,sha256=xsT048Ok_uM0Zhpdc34qswV1zaCGOlJQnsbGTDsm5oo,21637 +networkx/algorithms/bipartite/matrix.py,sha256=RuoILyPHjORW0Y_Bcf-vSH_K6-bSUjiTN9JTjnik5HE,6156 +networkx/algorithms/bipartite/projection.py,sha256=YIUlreqQQ6IPE37OXF32zNIdzEGeyR8aY-7iUENZYVA,17252 +networkx/algorithms/bipartite/redundancy.py,sha256=Mnkz0LbNXS0haxtLQ5naorR6C2tNLUbkNS_3PANFxbg,3402 +networkx/algorithms/bipartite/spectral.py,sha256=fu2grV1the_e_G-e_lUdhk8Y9XFe6_p2tPmx3RKntFw,1902 +networkx/algorithms/bipartite/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/bipartite/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_basic.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_centrality.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_cluster.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_covering.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_edgelist.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_extendability.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_generators.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_matching.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_matrix.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_project.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_redundancy.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/__pycache__/test_spectral_bipartivity.cpython-310.pyc,, +networkx/algorithms/bipartite/tests/test_basic.py,sha256=gzbtsQqPi85BznX5REdGBBJVyr9aH4nO06c3eEI4634,4291 +networkx/algorithms/bipartite/tests/test_centrality.py,sha256=PABPbrIyoAziEEQKXsZLl2jT36N8DZpNRzEO-jeu89Y,6362 +networkx/algorithms/bipartite/tests/test_cluster.py,sha256=O0VsPVt8vcY_E1FjjLJX2xaUbhVViI5MP6_gLTbEpos,2801 +networkx/algorithms/bipartite/tests/test_covering.py,sha256=EGVxYQsyLXE5yY5N5u6D4wZq2NcZe9OwlYpEuY6DF3o,1221 +networkx/algorithms/bipartite/tests/test_edgelist.py,sha256=fK35tSekG_-9Ewr5Bhl1bRdwAy247Z9zZ4dQFFDQ9xw,8471 +networkx/algorithms/bipartite/tests/test_extendability.py,sha256=XgPmg6bWiHAF1iQ75_r2NqUxExOQNZRUeYUPzlCa5-E,7043 +networkx/algorithms/bipartite/tests/test_generators.py,sha256=DB9NEapShvX9L5Dpj1OF8bs8LOu5n3zvew60WZhYChQ,13241 +networkx/algorithms/bipartite/tests/test_matching.py,sha256=3-2DMl3tF-g4_xNHvEuY4fZW7S5cqMTO_GUpcz1gkeQ,11973 +networkx/algorithms/bipartite/tests/test_matrix.py,sha256=1MymSi1dCUqAhTt82O2nBzjriNQtFRk6TxWGJ2FBW4k,3094 +networkx/algorithms/bipartite/tests/test_project.py,sha256=FBjkys3JYYzEG4aq_CsQrtm41edZibWI_uDAQ0b4wqM,15134 +networkx/algorithms/bipartite/tests/test_redundancy.py,sha256=utxcrQaTrkcEN3kqtObgKNpLZai8B5sMAqLyXatOuUo,917 +networkx/algorithms/bipartite/tests/test_spectral_bipartivity.py,sha256=1jGDgrIx3-TWOCNMSC4zxmZa7LHyMU69DXh3h12Bjag,2358 +networkx/algorithms/boundary.py,sha256=q3JtWssmn9yCB2mBdkjKZjkaxmBhkG9_dJOzmuJiQos,5339 +networkx/algorithms/bridges.py,sha256=CsxueHDOB9aFM5D8GP83u1ZKGzxF193XBpvmMReAcQk,6066 +networkx/algorithms/broadcasting.py,sha256=eqqZJ7oDQVCl7P3-PLm-gthzSc-kWnF2D1Yv42GXoGk,4890 +networkx/algorithms/centrality/__init__.py,sha256=Er3YoYoj76UfY4P6I0L-0fCQkO7mMU0b3NLsTT2RGWI,558 +networkx/algorithms/centrality/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/betweenness.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/betweenness_subset.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/closeness.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/current_flow_betweenness.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/current_flow_betweenness_subset.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/current_flow_closeness.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/degree_alg.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/dispersion.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/eigenvector.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/flow_matrix.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/group.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/harmonic.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/katz.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/laplacian.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/load.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/percolation.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/reaching.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/second_order.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/subgraph_alg.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/trophic.cpython-310.pyc,, +networkx/algorithms/centrality/__pycache__/voterank_alg.cpython-310.pyc,, +networkx/algorithms/centrality/betweenness.py,sha256=9kXlMR9T1IHDJ55x2fSMfjuLBy402AREJfQKUW1LfFo,14383 +networkx/algorithms/centrality/betweenness_subset.py,sha256=mkVJdEmR1G8kFoS-KN-jwhUyR_CUiB8DXneGqsqyB6U,9336 +networkx/algorithms/centrality/closeness.py,sha256=ehkntG-gApT9uhWJjGaEZQ-tEQ-hdxDT7luf-uVPNAE,10281 +networkx/algorithms/centrality/current_flow_betweenness.py,sha256=zZRqgrB06uDzgwWJ_FLUF3DSrgkER1tvakYZHX8DbSY,11848 +networkx/algorithms/centrality/current_flow_betweenness_subset.py,sha256=2qtLgf_3ft5qdDvHFrfYUt6zeQi42Nw7XBpSZRboJIA,8107 +networkx/algorithms/centrality/current_flow_closeness.py,sha256=IvecI8BZE4SgKayEXhKowIJw7S2fD_dN__N-f9TW-ME,3327 +networkx/algorithms/centrality/degree_alg.py,sha256=EFTA1b_GWUbmBy5R9beRQp7yh1X_NwZtk5L6is-mFGk,3894 +networkx/algorithms/centrality/dispersion.py,sha256=M12L2KiVPrC2-SyCXMF0kvxLelgcmvXJkLT_cBHoCTw,3631 +networkx/algorithms/centrality/eigenvector.py,sha256=LAxVqaT3LmuQw20__t1KrgLKPF1Cz-PkTaiSrgPC1FU,13623 +networkx/algorithms/centrality/flow_matrix.py,sha256=Y65m6VbWyYjNK0CInE_lufyEkKy9-TyPmBeXb-Gkz70,3834 +networkx/algorithms/centrality/group.py,sha256=-YaVfnJ6HKT6b1P-IhyUKtJvXk0ZSnC2Jz4XP6hjkyE,27960 +networkx/algorithms/centrality/harmonic.py,sha256=ZPp8FYFgSUZS0QBxUbzhi39qiv_EN7COirxZEYiTCIM,2847 +networkx/algorithms/centrality/katz.py,sha256=uVGHAyjqndSd4y4idHjkv0mUhmKmHU5vaEfNWfiKlzc,11042 +networkx/algorithms/centrality/laplacian.py,sha256=8-qloyxvFc33xlfpj7Xol8qeOvPAg_Z0BHVZGSxjnmc,5640 +networkx/algorithms/centrality/load.py,sha256=M2EdPX4gJEYGjMBIJMFKRWGI9uYHbFOWYxsILeaJuOE,6859 +networkx/algorithms/centrality/percolation.py,sha256=YJB8iYgbpjJ3EYK8pl26iSnjgfFsK31ufytRHnUTYYE,4419 +networkx/algorithms/centrality/reaching.py,sha256=OFWHlDUtCaQXHWxAfEgPpinej-0anLJQZsCvh3D8gME,7243 +networkx/algorithms/centrality/second_order.py,sha256=4CTboP95B6gUtAtSKLfeeE4s9oq0_3hXsXczxL6c_g8,5012 +networkx/algorithms/centrality/subgraph_alg.py,sha256=HtwSPYMRUxhaAuvMA90Qu2i1smXSpVpLRtHlBohnpSc,9513 +networkx/algorithms/centrality/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/centrality/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_betweenness_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_betweenness_centrality_subset.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_closeness_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_current_flow_betweenness_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_current_flow_betweenness_centrality_subset.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_current_flow_closeness.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_degree_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_dispersion.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_eigenvector_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_group.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_harmonic_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_katz_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_laplacian_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_load_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_percolation_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_reaching.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_second_order_centrality.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_subgraph.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_trophic.cpython-310.pyc,, +networkx/algorithms/centrality/tests/__pycache__/test_voterank.cpython-310.pyc,, +networkx/algorithms/centrality/tests/test_betweenness_centrality.py,sha256=pKoPAP1hnQSgrOxYeW5-LdUiFDANiwTn_NdOdgccbo8,26795 +networkx/algorithms/centrality/tests/test_betweenness_centrality_subset.py,sha256=HrHMcgOL69Z6y679SbqZIjkQOnqrYSz24gt17AJ9q-o,12554 +networkx/algorithms/centrality/tests/test_closeness_centrality.py,sha256=Ziz_LMgRJHT1pz_sgT4oCZPmOeWJL7OmfUSI8UCC1dI,10210 +networkx/algorithms/centrality/tests/test_current_flow_betweenness_centrality.py,sha256=VOxx1A7iSGtdEbzJYea_sW_Hv0S71-oo1CVX7Rqd5RY,7870 +networkx/algorithms/centrality/tests/test_current_flow_betweenness_centrality_subset.py,sha256=JfRGgPuiF-vJu5fc2_pcJYREEboxcK_dmy-np39c4Aw,5839 +networkx/algorithms/centrality/tests/test_current_flow_closeness.py,sha256=vflQeoNKngrGUiRb3XNlm2X9wR4vKgMSW_sCyMUCQi8,1379 +networkx/algorithms/centrality/tests/test_degree_centrality.py,sha256=Jn_p5lThA3__ZBTDAORwo_EchjXKKkK1NwU_73HHI6M,4101 +networkx/algorithms/centrality/tests/test_dispersion.py,sha256=ROgl_5bGhcNXonNW3ylsvUcA0NCwynsQu_scic371Gw,1959 +networkx/algorithms/centrality/tests/test_eigenvector_centrality.py,sha256=A6REmarGOuDmq3GcSYemyadlFLv24sErIGLtDcL9GO4,5255 +networkx/algorithms/centrality/tests/test_group.py,sha256=833ME4tGlOGQZz8YANw4MSyeVPpjbyCdYh5X88GOprw,8685 +networkx/algorithms/centrality/tests/test_harmonic_centrality.py,sha256=wI7nStX_kIFJoZQY_i8DXXlZBOJzVnQfOP8yidX0PAU,3867 +networkx/algorithms/centrality/tests/test_katz_centrality.py,sha256=JL0bZZsJe2MQFL6urXgY82wCAwucUvhjaShYZPxpL6U,11240 +networkx/algorithms/centrality/tests/test_laplacian_centrality.py,sha256=vY-NULtr_U_GxUMwfAZB-iccxIRTiqqUN4Q8HRNpzSo,5916 +networkx/algorithms/centrality/tests/test_load_centrality.py,sha256=Vv3zSW89iELN-8KNbUclmkhOe1LzKdF7U_w34nYovIo,11343 +networkx/algorithms/centrality/tests/test_percolation_centrality.py,sha256=ycQ1fvEZZcWAfqL11urT7yHiEP77usJDSG25OQiDM2s,2591 +networkx/algorithms/centrality/tests/test_reaching.py,sha256=_JVeO1Ri-KybdnGCJ_yNPtJQmT_g77z0DAkU0JYFVGQ,5090 +networkx/algorithms/centrality/tests/test_second_order_centrality.py,sha256=ce0wQ4T33lu23wskzGUnBS7X4BSODlvAX1S5KxlLzOA,1999 +networkx/algorithms/centrality/tests/test_subgraph.py,sha256=vhE9Uh-_Hlk49k-ny6ORHCgqk7LWH8OHIYOEYM96uz0,3729 +networkx/algorithms/centrality/tests/test_trophic.py,sha256=_lmwb0_78iX_cxgUKHjCRCSxohVMkRrkKqSaB5QV3ys,8705 +networkx/algorithms/centrality/tests/test_voterank.py,sha256=tN5u7pKAnJ_4AiwhPW6EuJZz7FLIG2jYqLKcXFi2urk,1687 +networkx/algorithms/centrality/trophic.py,sha256=q--TsLcfGNCSet_A6oLVf7CGWQBvDxDOlkjozduZfxY,4679 +networkx/algorithms/centrality/voterank_alg.py,sha256=z_1eq8rSDadEO5W5BbAg1zuOJj2di4FUCkmOwiuK12I,3231 +networkx/algorithms/chains.py,sha256=PPiSq5-GsT1Lsf8fwtGwGDVf1hhv5ZLariWtfzkBbAw,6968 +networkx/algorithms/chordal.py,sha256=L-ILWdVLWE44OkWmEO_4bSo4z6Ro-_zLglfLfTrwdqQ,13411 +networkx/algorithms/clique.py,sha256=LrmXvK6KVcjDyUrF5S6JTC2PQ1kTf26Yeb0TjqNy_WA,25872 +networkx/algorithms/cluster.py,sha256=x7dIotmBaBU3yaIzphjAyA2B-FHS_iiQ5nF-FeinQlU,20359 +networkx/algorithms/coloring/__init__.py,sha256=P1cmqrAjcaCdObkNZ1e6Hp__ZpxBAhQx0iIipOVW8jg,182 +networkx/algorithms/coloring/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/coloring/__pycache__/equitable_coloring.cpython-310.pyc,, +networkx/algorithms/coloring/__pycache__/greedy_coloring.cpython-310.pyc,, +networkx/algorithms/coloring/equitable_coloring.py,sha256=uDcza6PD9qbvwVPUX1MBZbopQdrAEKNk6DpCFkc02tU,16315 +networkx/algorithms/coloring/greedy_coloring.py,sha256=6Jzcc4iW5KuRVFEEr15v8rBvik3g4maa7_wcjWyyRDI,20046 +networkx/algorithms/coloring/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/coloring/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/coloring/tests/__pycache__/test_coloring.cpython-310.pyc,, +networkx/algorithms/coloring/tests/test_coloring.py,sha256=7v_d1xanjYMZCa3dq2hE2hCcyexwWBTEFV5SoLgQDv4,23697 +networkx/algorithms/communicability_alg.py,sha256=0tZvZKY-_GUUB7GsRILxabS2jEpI51Udg5ADI9ADGZw,4545 +networkx/algorithms/community/__init__.py,sha256=0YrcAVLTxJt3u-htlaSPZ-XSRn0Jg-EQKCMRPmWuw-g,1179 +networkx/algorithms/community/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/asyn_fluid.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/centrality.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/community_utils.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/divisive.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/kclique.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/kernighan_lin.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/label_propagation.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/louvain.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/lukes.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/modularity_max.cpython-310.pyc,, +networkx/algorithms/community/__pycache__/quality.cpython-310.pyc,, +networkx/algorithms/community/asyn_fluid.py,sha256=0ktsoOa4JKBKiuE3wmGDcBSUgPlFdGvzNheqINtWKbk,5935 +networkx/algorithms/community/centrality.py,sha256=Yyv5kyf1hf_L7iQ_ZbG8_FAkP638Sc_3N4tCSoB6J1w,6635 +networkx/algorithms/community/community_utils.py,sha256=sUi-AcPYyGrYhnjI9ztt-vrSHLl28lKXxTJPfi5N0c8,908 +networkx/algorithms/community/divisive.py,sha256=yFcKfKkiI6FqEVlBVxLa1fbqI1Yeiqe_A5fpPnYvlAE,6655 +networkx/algorithms/community/kclique.py,sha256=DTr9iUT_XWv0S3Y79KQl6OXefjztNMc9SAHWhdFOxcU,2460 +networkx/algorithms/community/kernighan_lin.py,sha256=vPU8Mbpk7_NscMC-gorNoXhsQjkOhgK2YiKOo-u6DvY,4349 +networkx/algorithms/community/label_propagation.py,sha256=LhzAXSHFCPQ2kG_rPgXb06YKdppO7buApksCC4GI4w8,11878 +networkx/algorithms/community/louvain.py,sha256=zh5h16hRWzgTv9IUqWiiJKFntZhQbB_EHNYIGViwPas,15365 +networkx/algorithms/community/lukes.py,sha256=gzqnup95RR2UzUiPpIt8qkepzZ9dCWqHGQSVPIJDMx8,8115 +networkx/algorithms/community/modularity_max.py,sha256=gzyZrGHNMtTZyqpLFcJHxgzzIsar1m5DktScODoUngk,18082 +networkx/algorithms/community/quality.py,sha256=dVIkV-CFKdAou0WjgIDmfhnpIIqReRaeL4odg39XAYk,11939 +networkx/algorithms/community/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/community/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_asyn_fluid.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_centrality.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_divisive.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_kclique.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_kernighan_lin.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_label_propagation.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_louvain.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_lukes.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_modularity_max.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_quality.cpython-310.pyc,, +networkx/algorithms/community/tests/__pycache__/test_utils.cpython-310.pyc,, +networkx/algorithms/community/tests/test_asyn_fluid.py,sha256=UzAMxJzhN74qUinehR7B1rhU_vsigJ7-cRvcE6jdKyc,3332 +networkx/algorithms/community/tests/test_centrality.py,sha256=s8q4k5aThR0OgO9CDQk_PXMxfllmf5uC1GlvyUc_8EY,2932 +networkx/algorithms/community/tests/test_divisive.py,sha256=-Ee40OR-mPDReTngTEhbpx4_uLtNI7cqFkt8cZT9t5Y,3441 +networkx/algorithms/community/tests/test_kclique.py,sha256=iA0SBqwbDfaD2u7KM6ccs6LfgAQY_xxrnW05UIT_tFA,2413 +networkx/algorithms/community/tests/test_kernighan_lin.py,sha256=rcFDI9mTq1Nwsi251PwDgi1UoxTMPXAeSy2Cp6GtUQg,2710 +networkx/algorithms/community/tests/test_label_propagation.py,sha256=IHidFEv7MI781zsdk7XT848rLvLwDk2wBK1FjL-CRv4,7985 +networkx/algorithms/community/tests/test_louvain.py,sha256=TwW1nlSKWGJeIKr9QOJ8xGehSY6R0Nz01xsnFqzt0Oo,8071 +networkx/algorithms/community/tests/test_lukes.py,sha256=f_JU-EzY6PwXEkPN8kk5_3NVg6phlX0nrj1f57M49lk,3961 +networkx/algorithms/community/tests/test_modularity_max.py,sha256=XYyPuDkxL4CYFwnpTdU_qD4GydpqgiRAIJO3CHQN_m4,10617 +networkx/algorithms/community/tests/test_quality.py,sha256=sZEy10hh3zlelUmww5r2pk5LxpZAht06PC5zCHxV1bs,5275 +networkx/algorithms/community/tests/test_utils.py,sha256=gomD6rFgAaywxT1Yjdi4ozY-1rC0ina4jgfvWeCvwGE,704 +networkx/algorithms/components/__init__.py,sha256=Dt74KZWp_cJ_j0lL5hd_S50_hia5DKcC2SjuRnubr6M,173 +networkx/algorithms/components/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/components/__pycache__/attracting.cpython-310.pyc,, +networkx/algorithms/components/__pycache__/biconnected.cpython-310.pyc,, +networkx/algorithms/components/__pycache__/connected.cpython-310.pyc,, +networkx/algorithms/components/__pycache__/semiconnected.cpython-310.pyc,, +networkx/algorithms/components/__pycache__/strongly_connected.cpython-310.pyc,, +networkx/algorithms/components/__pycache__/weakly_connected.cpython-310.pyc,, +networkx/algorithms/components/attracting.py,sha256=6az3lgqWhHTXaWUUuOPZfW9t7okliAhooFRotQY5JoM,2712 +networkx/algorithms/components/biconnected.py,sha256=_9GJdPZgqusGKZLzqT9tUSj1XZr2DgohiT6hcHVyil4,12782 +networkx/algorithms/components/connected.py,sha256=r-jNJJkxoDtFcYiuoteyZb3a2oEHh0j0WBddwsXj_a4,4459 +networkx/algorithms/components/semiconnected.py,sha256=BaBMFlQ208vuHOo5y1xeV0PDEI3yDUfH6zFb_jkcVhQ,2030 +networkx/algorithms/components/strongly_connected.py,sha256=i41vDeazdNGqG4weufAKd6axaN2nBKmMzURZBs7WsLI,9542 +networkx/algorithms/components/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/components/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/components/tests/__pycache__/test_attracting.cpython-310.pyc,, +networkx/algorithms/components/tests/__pycache__/test_biconnected.cpython-310.pyc,, +networkx/algorithms/components/tests/__pycache__/test_connected.cpython-310.pyc,, +networkx/algorithms/components/tests/__pycache__/test_semiconnected.cpython-310.pyc,, +networkx/algorithms/components/tests/__pycache__/test_strongly_connected.cpython-310.pyc,, +networkx/algorithms/components/tests/__pycache__/test_weakly_connected.cpython-310.pyc,, +networkx/algorithms/components/tests/test_attracting.py,sha256=b3N3ZR9E5gLSQWGgaqhcRfRs4KBW6GnnkVYeAjdxC_o,2243 +networkx/algorithms/components/tests/test_biconnected.py,sha256=N-J-dgBgI77ytYUUrXjduLxtDydH7jS-af98fyPBkYc,6036 +networkx/algorithms/components/tests/test_connected.py,sha256=KMYm55BpbFdGXk_B2WozS9rIagQROd7_k0LT3HFQmr4,4815 +networkx/algorithms/components/tests/test_semiconnected.py,sha256=q860lIxZF5M2JmDwwdzy-SGSXnrillOefMx23GcJpw0,1792 +networkx/algorithms/components/tests/test_strongly_connected.py,sha256=Zm7MgUIZbuPPJu66xZH1zfMZQ_3X1YBl2fLCOjph7NQ,6021 +networkx/algorithms/components/tests/test_weakly_connected.py,sha256=_eUx7226dxme_K2WNmvSIwZXQlKNoCuglWOOC3kFUW4,3083 +networkx/algorithms/components/weakly_connected.py,sha256=jFHHr0qTZH57IyFIQ8iD5gekgczQXTPRHrtYoXVYYPM,4455 +networkx/algorithms/connectivity/__init__.py,sha256=EvYKw8LJn7wyZECHAsuEkIaSl-cV-LhymR6tqcn90p8,281 +networkx/algorithms/connectivity/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/connectivity.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/cuts.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/disjoint_paths.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/edge_augmentation.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/edge_kcomponents.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/kcomponents.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/kcutsets.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/stoerwagner.cpython-310.pyc,, +networkx/algorithms/connectivity/__pycache__/utils.cpython-310.pyc,, +networkx/algorithms/connectivity/connectivity.py,sha256=KuvVbJ0dAmG2h51uFo9IdBIK1G1PYaTZ-XFT78ksZEo,29367 +networkx/algorithms/connectivity/cuts.py,sha256=d9O6G3fuhjg0GEuDSm6QyYhm3OTBKFZeHC7Tz6IZ0Mg,23015 +networkx/algorithms/connectivity/disjoint_paths.py,sha256=R0HDHrrhdI1E_do3U6t6oseXsrGJlG7PC89kXCPC1v8,14649 +networkx/algorithms/connectivity/edge_augmentation.py,sha256=SE7CkLjtxG-q6DZPZH33g6MJcYA1KsJgHm-Pm575gkA,44061 +networkx/algorithms/connectivity/edge_kcomponents.py,sha256=hqABcfCqZ-rb45I0qYE-X4NtstsKJbxl37FZzzmoXA4,20894 +networkx/algorithms/connectivity/kcomponents.py,sha256=TtiEvpaKflkdxJ3r37Qsj1qrSzB2rtHzDcxCDO_Aq2Q,8171 +networkx/algorithms/connectivity/kcutsets.py,sha256=zYohzgkR2FODi_Ew2M9uMLb_a9ZP5fNqcXJwMYy6P7o,9371 +networkx/algorithms/connectivity/stoerwagner.py,sha256=WodsJEqKgsmTTcyUBk2u3wV_CXeon-cAzveWgIGgFmA,5431 +networkx/algorithms/connectivity/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/connectivity/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_connectivity.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_cuts.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_disjoint_paths.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_edge_augmentation.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_edge_kcomponents.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_kcomponents.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_kcutsets.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/__pycache__/test_stoer_wagner.cpython-310.pyc,, +networkx/algorithms/connectivity/tests/test_connectivity.py,sha256=eSmsi8uQk6MI591JgtSu2elIusb08bmSZS0h9gxb76I,15027 +networkx/algorithms/connectivity/tests/test_cuts.py,sha256=4F8seWb-sPDDjjVMkh14gst5UQa5f-zDkCsZIdJjVzo,10353 +networkx/algorithms/connectivity/tests/test_disjoint_paths.py,sha256=NLHReLoXSKoA6KPBNRbjF84ktg5PEaaktIj2AII3SDY,8392 +networkx/algorithms/connectivity/tests/test_edge_augmentation.py,sha256=d3ymFHyY2G4cpy1Y6wu4ze339qfF2LRp2HmGAIVjnMM,15731 +networkx/algorithms/connectivity/tests/test_edge_kcomponents.py,sha256=CZ26Dy91WOUqhw1X73mqLGX-WHWzBBIeBCgrp6KK4Zo,16453 +networkx/algorithms/connectivity/tests/test_kcomponents.py,sha256=ohoSX8GACeszRZdzTiNuWXSFitfU9DzP0hqllS2gvMU,8554 +networkx/algorithms/connectivity/tests/test_kcutsets.py,sha256=sVKjwQt3FUqtnlY2xuHn6VGY9rvUkYoVp7v5fK-6aJw,8610 +networkx/algorithms/connectivity/tests/test_stoer_wagner.py,sha256=A291C30_t2CI1erPCqN1W0DoAj3zqNA8fThPIj4Rku0,3011 +networkx/algorithms/connectivity/utils.py,sha256=gL8LmZnK4GKAZQcIPEhVNYmVi18Mqsqwg4O4j_et56s,3217 +networkx/algorithms/core.py,sha256=2QQYUPoMs9F1rgGUlYgIAj6ETy4VefQWG1rl0RMkf9o,19184 +networkx/algorithms/covering.py,sha256=abt1bRBmiPi1J950uUYfTk4YS4pVhz1zanY01vxqNLg,5294 +networkx/algorithms/cuts.py,sha256=-J5j6Yi2CrlFsrX4bK-5kFztD6i4X6gihXwxmFC1zYQ,9990 +networkx/algorithms/cycles.py,sha256=erkLvKZkYfGDwya6Pn_o8cR5CnEnYeJ30Yi4kGr5xvk,43237 +networkx/algorithms/d_separation.py,sha256=3O_5RIWziPQ5xwRn-yAjH28xrkSaVIVbCFpw7K2Pa2A,27283 +networkx/algorithms/dag.py,sha256=y2HhZm0-olRZabgo9xczjsWf8ObSeG--VJl3PIEh9cE,45070 +networkx/algorithms/distance_measures.py,sha256=eauckS80lzTT_0CpZZh1JR7tLCzeiGCviaARDK1MN8k,34195 +networkx/algorithms/distance_regular.py,sha256=-1QCGLy7OPoNuV2bYJDY4jVot-0LGMobBQ0DubjbhGI,7053 +networkx/algorithms/dominance.py,sha256=T_z37jx_WSbY_HMfYgqZL6fT-p6PMAlZjSwEVsaLfLE,3450 +networkx/algorithms/dominating.py,sha256=d4CkSt_hmcwldF5FaOiazZpThYhxAuasRhJgGdExGjc,2669 +networkx/algorithms/efficiency_measures.py,sha256=VKbLKJgdIbno-YnJaLaCZt7TNXXnQPdz8N99uJCo748,4741 +networkx/algorithms/euler.py,sha256=yCqKaGchFSRPTRDXq7u1fH2IXZF94wWf9S10K9-Cd6U,14205 +networkx/algorithms/flow/__init__.py,sha256=rVtMUy6dViPLewjDRntmn15QF0bQwiDdQbZZx9j7Drc,341 +networkx/algorithms/flow/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/boykovkolmogorov.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/capacityscaling.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/dinitz_alg.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/edmondskarp.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/gomory_hu.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/maxflow.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/mincost.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/networksimplex.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/preflowpush.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/shortestaugmentingpath.cpython-310.pyc,, +networkx/algorithms/flow/__pycache__/utils.cpython-310.pyc,, +networkx/algorithms/flow/boykovkolmogorov.py,sha256=qFcppmiXz4VKKFd4RbDsiWOqJODtDTHbNr9_UFTjQaU,13334 +networkx/algorithms/flow/capacityscaling.py,sha256=8rng2qO5kawNSxq2S8BNlUMmdvNSoC6R8ekiBGU8LxU,14469 +networkx/algorithms/flow/dinitz_alg.py,sha256=I5nnZVsj0aU8-9Cje0umey407epFzpd7BDJpkI6ESK4,8341 +networkx/algorithms/flow/edmondskarp.py,sha256=PEIwLftevS2VYHaTzzZMSOLPy7QSBPsWPedjx1lR6Cs,8056 +networkx/algorithms/flow/gomory_hu.py,sha256=EuibaxPl65shGM9Jxvaa9WMwMmoczDvXXc2b0E81cqM,6345 +networkx/algorithms/flow/maxflow.py,sha256=3_v0FUEHulFrOeSDM1FMcmOF3yTYvxUbLGv3MNTNp1Q,22795 +networkx/algorithms/flow/mincost.py,sha256=GzMYInS4QcNe0yImGrVXJ0bRd7t5TSSMa9jSeenIoOk,12853 +networkx/algorithms/flow/networksimplex.py,sha256=32uetoZWj-_7KPO2OJputP0FpTrsQ_qJxntC8XxIVr0,25185 +networkx/algorithms/flow/preflowpush.py,sha256=CUKZ0-7X9l7P7qH_2n2Immbf8mFm8vocH2SY0tIwjGo,15721 +networkx/algorithms/flow/shortestaugmentingpath.py,sha256=gXXdkY3nH4d0hXVn0P2-kzfC3DHcuCdrudFdxetflKI,10372 +networkx/algorithms/flow/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/flow/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/flow/tests/__pycache__/test_gomory_hu.cpython-310.pyc,, +networkx/algorithms/flow/tests/__pycache__/test_maxflow.cpython-310.pyc,, +networkx/algorithms/flow/tests/__pycache__/test_maxflow_large_graph.cpython-310.pyc,, +networkx/algorithms/flow/tests/__pycache__/test_mincost.cpython-310.pyc,, +networkx/algorithms/flow/tests/__pycache__/test_networksimplex.cpython-310.pyc,, +networkx/algorithms/flow/tests/gl1.gpickle.bz2,sha256=z4-BzrXqruFiGqYLiS2D5ZamFz9vZRc1m2ef89qhsPg,44623 +networkx/algorithms/flow/tests/gw1.gpickle.bz2,sha256=b3nw6Q-kxR7HkWXxWWPh7YlHdXbga8qmeuYiwmBBGTE,42248 +networkx/algorithms/flow/tests/netgen-2.gpickle.bz2,sha256=OxfmbN7ajtuNHexyYmx38fZd1GdeP3bcL8T9hKoDjjA,18972 +networkx/algorithms/flow/tests/test_gomory_hu.py,sha256=aWtbI3AHofIK6LDJnmj9UH1QOfulXsi5NyB7bNyV2Vw,4471 +networkx/algorithms/flow/tests/test_maxflow.py,sha256=4CtGOqeyloAxFSajaxPfGuyVhE0R3IdJf2SuIg4kHKQ,18940 +networkx/algorithms/flow/tests/test_maxflow_large_graph.py,sha256=1a7pS0i5sj_kowLelETcHdrf7RmPEhAJnmCT03JZ0K8,4622 +networkx/algorithms/flow/tests/test_mincost.py,sha256=n4fFLDwDLy7Tau-_ey1CoxZwKhFjk28GLGJjCyxhClk,17816 +networkx/algorithms/flow/tests/test_networksimplex.py,sha256=bsVxlvHAD0K7aDevCcVaa9uRNNsWAevw6yUKlj2T8No,12103 +networkx/algorithms/flow/tests/wlm3.gpickle.bz2,sha256=zKy6Hg-_swvsNh8OSOyIyZnTR0_Npd35O9RErOF8-g4,88132 +networkx/algorithms/flow/utils.py,sha256=bCeiFAiyFe4-ptkCopo_PnQKF9xY5M8Br87hJT3fRWQ,6084 +networkx/algorithms/graph_hashing.py,sha256=0jcfhXY7tChFBV4N0ga4oJCJCHRwawrsDDyNy11uJlk,12556 +networkx/algorithms/graphical.py,sha256=1NdlhXuGEgUkHPo47EoNTWUMfdeTpiv7BBVM9ty2ivw,15831 +networkx/algorithms/hierarchy.py,sha256=_KFhCF1Afr2TrkPhqx-1PXUXEtfYLhbRShC58ZKbDGE,1786 +networkx/algorithms/hybrid.py,sha256=z3sIFMOpja1wlj-lI8YI6OIbSLZWHr66uSqyVESZWXY,6209 +networkx/algorithms/isolate.py,sha256=4rDH_iGY2WM5igJS-lBcIVb11MrKdoaFhJLieLZ4BAE,2301 +networkx/algorithms/isomorphism/__init__.py,sha256=gPRQ-_X6xN2lJZPQNw86IVj4NemGmbQYTejf5yJ32N4,406 +networkx/algorithms/isomorphism/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/ismags.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/isomorph.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/isomorphvf2.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/matchhelpers.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/temporalisomorphvf2.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/tree_isomorphism.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/vf2pp.cpython-310.pyc,, +networkx/algorithms/isomorphism/__pycache__/vf2userfunc.cpython-310.pyc,, +networkx/algorithms/isomorphism/ismags.py,sha256=TpZP5xDxLITCGOk8DT4EBVaWDbbjzEUT5ZOCDNGAho0,43239 +networkx/algorithms/isomorphism/isomorph.py,sha256=Yg2Aukv0tVZIQ66jxzDS4DPBjX6DMKwT0_WNH12fsgk,7114 +networkx/algorithms/isomorphism/isomorphvf2.py,sha256=_IdR1YRm8N9z-HaX2XtzPRq-2j3_jqlcJ8WSrvAyE5g,46785 +networkx/algorithms/isomorphism/matchhelpers.py,sha256=PaZ7PjmNNsJO9KoeRrf9JgcDHIcFr1tZckQc_ol4e9I,10884 +networkx/algorithms/isomorphism/temporalisomorphvf2.py,sha256=-1NW81l8kM9orQ2ni9tcNizQzEhOUE9BaBJXjUWqhiI,10948 +networkx/algorithms/isomorphism/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/isomorphism/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_ismags.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_isomorphism.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_isomorphvf2.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_match_helpers.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_temporalisomorphvf2.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_tree_isomorphism.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_vf2pp.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_vf2pp_helpers.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/__pycache__/test_vf2userfunc.cpython-310.pyc,, +networkx/algorithms/isomorphism/tests/iso_r01_s80.A99,sha256=hKzMtYLUR8Oqp9pmJR6RwG7qo31aNPZcnXy4KHDGhqU,1442 +networkx/algorithms/isomorphism/tests/iso_r01_s80.B99,sha256=AHx_W2xG4JEcz1xKoN5TwCHVE6-UO2PiMByynkd4TPE,1442 +networkx/algorithms/isomorphism/tests/si2_b06_m200.A99,sha256=NVnPFA52amNl3qM55G1V9eL9ZlP9NwugBlPf-zekTFU,310 +networkx/algorithms/isomorphism/tests/si2_b06_m200.B99,sha256=-clIDp05LFNRHA2BghhGTeyuXDqBBqA9XpEzpB7Ku7M,1602 +networkx/algorithms/isomorphism/tests/test_ismags.py,sha256=8D1jWosarNJ0ZzCYgfwy0mB62YVZAMvG-UF9Q0peRa0,10581 +networkx/algorithms/isomorphism/tests/test_isomorphism.py,sha256=kF-o4dTjB7Ad0NOHnUGoiOCCNr3MWSmJm_YBc-Wvhgk,2022 +networkx/algorithms/isomorphism/tests/test_isomorphvf2.py,sha256=qisgeaCLO8ytf09DP7zANsnWdAHPu1lvJl4Gmg2zD6M,11747 +networkx/algorithms/isomorphism/tests/test_match_helpers.py,sha256=uuTcvjgf2LPqSQzzECPIh0dezw8-a1IN0u42u8TxwAw,2483 +networkx/algorithms/isomorphism/tests/test_temporalisomorphvf2.py,sha256=k8032J4ItZ4aFHeOraOpiF8y4aPm2O1g44UvUfrQJgg,7343 +networkx/algorithms/isomorphism/tests/test_tree_isomorphism.py,sha256=0-7waJjupg8AWfQDqrcsJVOgTXk7HePr5kt87MgnPtM,7412 +networkx/algorithms/isomorphism/tests/test_vf2pp.py,sha256=65RkN1mPWLoxirE7SlIvfaKMJk80b_ZwWG6HTJtlkPg,49924 +networkx/algorithms/isomorphism/tests/test_vf2pp_helpers.py,sha256=HnXcdy2LTBFX423nIdJ8CbwmfkHFmzf1XNa8-xld5jk,90125 +networkx/algorithms/isomorphism/tests/test_vf2userfunc.py,sha256=KMRPb-m3fmvRF0vt9laKIzOfwnrkxN2SueLv7JWUuXs,6625 +networkx/algorithms/isomorphism/tree_isomorphism.py,sha256=fj1cUspSojUVwmAdWKGzXEHqOawUNJgzfO9QjCEnPLs,9454 +networkx/algorithms/isomorphism/vf2pp.py,sha256=WNXf7g0u3c8R3IsX2YuP3gWU5sjb0uqjuDSvmtob_QE,36421 +networkx/algorithms/isomorphism/vf2userfunc.py,sha256=HiPwyr7nJF1QS9w69MzKf6wGvO8cgjvdS5vW59iwCew,7371 +networkx/algorithms/link_analysis/__init__.py,sha256=UkcgTDdzsIu-jsJ4jBwP8sF2CsRPC1YcZZT-q5Wlj3I,118 +networkx/algorithms/link_analysis/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/link_analysis/__pycache__/hits_alg.cpython-310.pyc,, +networkx/algorithms/link_analysis/__pycache__/pagerank_alg.cpython-310.pyc,, +networkx/algorithms/link_analysis/hits_alg.py,sha256=OJ2DPKn_qGDBiW7Tln8_vLtJGvBkzWbOxylbHn95ne4,10421 +networkx/algorithms/link_analysis/pagerank_alg.py,sha256=BlJr6dsDfUNdU0mH8BmqWLt8Hzra-wBwWmQFHArTJc8,17191 +networkx/algorithms/link_analysis/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/link_analysis/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/link_analysis/tests/__pycache__/test_hits.cpython-310.pyc,, +networkx/algorithms/link_analysis/tests/__pycache__/test_pagerank.cpython-310.pyc,, +networkx/algorithms/link_analysis/tests/test_hits.py,sha256=QjSZZmrj3rBLNVpKOIHUvJNYM7OJ1b-yjiaglyVzNyw,2547 +networkx/algorithms/link_analysis/tests/test_pagerank.py,sha256=szFqJoRJrDojANbuAaw7kfX-cLjEne6tOyek3-Cax_4,7283 +networkx/algorithms/link_prediction.py,sha256=UYo_LJgoVXcM1iLMXswM2g4jvUJmvxln3e5bVfXxQ10,22253 +networkx/algorithms/lowest_common_ancestors.py,sha256=xP0hkaJzwrj4evzahYvIjtUhaodj4FYv4JB51PWwVpc,9198 +networkx/algorithms/matching.py,sha256=bEvhXTFcRa-ZMNugIyM14rJ5QAcQkcZ2j-YJ-PTGQ3w,44550 +networkx/algorithms/minors/__init__.py,sha256=ceeKdsZ6U1H40ED-KmtVGkbADxeWMTVG07Ja8P7N_Pg,587 +networkx/algorithms/minors/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/minors/__pycache__/contraction.cpython-310.pyc,, +networkx/algorithms/minors/contraction.py,sha256=EviSuRlx5EsGiWNbGrSSfAYfPV19jzIN8H_l596YHbI,22870 +networkx/algorithms/minors/tests/__pycache__/test_contraction.cpython-310.pyc,, +networkx/algorithms/minors/tests/test_contraction.py,sha256=YjBXi-byijqbh_OxLpLK7_au5A5YCoVTlta7hnnK4Gg,14213 +networkx/algorithms/mis.py,sha256=BEMv_dW8R6CjMMXJQGIhS4HpS8A8AkLJJWnz3GstuS4,2344 +networkx/algorithms/moral.py,sha256=z5lp42k4kqYk7t_FfszVj5KAC7BxXe6Adik3T2qvA6o,1535 +networkx/algorithms/node_classification.py,sha256=a2mVO7NI2IQF4Cd2Mx7TMLoTEu5HNG9RB5sEHQ19Wdw,6469 +networkx/algorithms/non_randomness.py,sha256=Uag54gFi5DR5uAQNFXyKKyORQuowTPuhq_QsjZaVMJ4,3068 +networkx/algorithms/operators/__init__.py,sha256=dJ3xOXvHxSzzM3-YcfvjGTJ_ndxULF1TybkIRzUS87Y,201 +networkx/algorithms/operators/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/operators/__pycache__/all.cpython-310.pyc,, +networkx/algorithms/operators/__pycache__/binary.cpython-310.pyc,, +networkx/algorithms/operators/__pycache__/product.cpython-310.pyc,, +networkx/algorithms/operators/__pycache__/unary.cpython-310.pyc,, +networkx/algorithms/operators/all.py,sha256=pNIKjEiSBBiUa6zcYZHQIiiHq3C9hnazSyaIpasvBxw,9652 +networkx/algorithms/operators/binary.py,sha256=mRgkFsPoAw2PuqMIwRmS59vYC2KFJ47dB_lct5HRAh4,12948 +networkx/algorithms/operators/product.py,sha256=FQkSIduOv-z1ktVzid2T40759S-BmAfTlya88VytuZc,19632 +networkx/algorithms/operators/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/operators/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/operators/tests/__pycache__/test_all.cpython-310.pyc,, +networkx/algorithms/operators/tests/__pycache__/test_binary.cpython-310.pyc,, +networkx/algorithms/operators/tests/__pycache__/test_product.cpython-310.pyc,, +networkx/algorithms/operators/tests/__pycache__/test_unary.cpython-310.pyc,, +networkx/algorithms/operators/tests/test_all.py,sha256=Pqjv9QiA0875Yl9D5o6c5Ml0t4KHpH2a5jbpAoZQXFc,8250 +networkx/algorithms/operators/tests/test_binary.py,sha256=QzQTfnkHf1ulVvvNsclfkQgzRGc9hGQdZDyf4F9O5n8,12171 +networkx/algorithms/operators/tests/test_product.py,sha256=i4pBb5A4NmaCsllR1XizyhUToaQFMuLZ-JrywkQFdbU,15155 +networkx/algorithms/operators/tests/test_unary.py,sha256=UZdzbt5GI9hnflEizUWXihGqBWmSFJDkzjwVv6wziQE,1415 +networkx/algorithms/operators/unary.py,sha256=Eo2yeTg-F5uODGWSWR_im5VaKZQ97LyATIuKZcAFQR8,1795 +networkx/algorithms/planar_drawing.py,sha256=AXuoT3aFgEtCeMnAaUsRqjxCABdNYZ8Oo9sGOKBQto0,16254 +networkx/algorithms/planarity.py,sha256=PhIhnecPna-J_v7taoj-Ie175XWayVfcuMDHkj2bWLc,47249 +networkx/algorithms/polynomials.py,sha256=iP30_mcOlj81Vrzt4iB_ZZxYiRokubs-O1i9RW4pgTw,11278 +networkx/algorithms/reciprocity.py,sha256=1WMhLbSMkVPxRPlfUvbgO5FgVvJHn1doXQF4WuqSLQk,2855 +networkx/algorithms/regular.py,sha256=lEhYCP4Yysz8oTdxY8m40oqZcdhjKJuDsEj-P310loI,6794 +networkx/algorithms/richclub.py,sha256=kARzso3M6wnUcAJo2g8ga_ZtigL2czDNzeUDzBtRfqo,4892 +networkx/algorithms/shortest_paths/__init__.py,sha256=Rmxtsje-mPdQyeYhE8TP2NId-iZEOu4eAsWhVRm2Xqk,285 +networkx/algorithms/shortest_paths/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/shortest_paths/__pycache__/astar.cpython-310.pyc,, +networkx/algorithms/shortest_paths/__pycache__/dense.cpython-310.pyc,, +networkx/algorithms/shortest_paths/__pycache__/generic.cpython-310.pyc,, +networkx/algorithms/shortest_paths/__pycache__/unweighted.cpython-310.pyc,, +networkx/algorithms/shortest_paths/__pycache__/weighted.cpython-310.pyc,, +networkx/algorithms/shortest_paths/astar.py,sha256=EhUUKwQ6kGBPVXVA7inJN3tb5nr45M99kEDygVcLPf8,8967 +networkx/algorithms/shortest_paths/dense.py,sha256=rdMTlAwrboZMaA8Hj0RmbEpqNNU9zmBxk5Ljswsg37U,8211 +networkx/algorithms/shortest_paths/generic.py,sha256=6N22Kf1t-7HFPn2-QoLqbm1kJSKk5dWCimNi8UuYzM4,25738 +networkx/algorithms/shortest_paths/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/shortest_paths/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/shortest_paths/tests/__pycache__/test_astar.cpython-310.pyc,, +networkx/algorithms/shortest_paths/tests/__pycache__/test_dense.cpython-310.pyc,, +networkx/algorithms/shortest_paths/tests/__pycache__/test_dense_numpy.cpython-310.pyc,, +networkx/algorithms/shortest_paths/tests/__pycache__/test_generic.cpython-310.pyc,, +networkx/algorithms/shortest_paths/tests/__pycache__/test_unweighted.cpython-310.pyc,, +networkx/algorithms/shortest_paths/tests/__pycache__/test_weighted.cpython-310.pyc,, +networkx/algorithms/shortest_paths/tests/test_astar.py,sha256=G9hrEo2U9c_kzaRTAXYbS1TpcJgF_uqj9249K2qbjAY,8941 +networkx/algorithms/shortest_paths/tests/test_dense.py,sha256=ievl4gu3Exl_31hp4OKcsAGPb3g3_xFUM4t3NnvrG_A,6747 +networkx/algorithms/shortest_paths/tests/test_dense_numpy.py,sha256=BNwXCe2wgNPE8o35-shPsFj8l19c_QG6Ye8tkIGphf8,2300 +networkx/algorithms/shortest_paths/tests/test_generic.py,sha256=oJBKCLIsMA1KTo8q-oG9JQmaxysc7_QSgbBqMImh23c,18456 +networkx/algorithms/shortest_paths/tests/test_unweighted.py,sha256=kMDgx5JP2QHyOST41zhyUiSc3qajKalAJP6W0Mt3oeg,5891 +networkx/algorithms/shortest_paths/tests/test_weighted.py,sha256=dmzFBYN3QEDZoun7RAtSe_spsGSbvkDiJSgUf9e-1K8,35038 +networkx/algorithms/shortest_paths/unweighted.py,sha256=3Up0AF835pSSgSQjzmTK8fw42o0CGc-tsrjenTRfjQc,15642 +networkx/algorithms/shortest_paths/weighted.py,sha256=AGX34ATlzEi1_cyayRzxeUnEPjauQmbc-nKBng6wAL0,82465 +networkx/algorithms/similarity.py,sha256=My2MeE7AsIrCfXEkX-IYfbpbcNL3O7ZUkFtlzzF-j_8,61093 +networkx/algorithms/simple_paths.py,sha256=LFdFNltpt-rRI94x7HVDQooNbgm-urkzGQCxVHfIR5Q,30320 +networkx/algorithms/smallworld.py,sha256=3xT-z2_CVdp5-Ap8vF6fsd3DiavDYtspFNZrcwcpXG0,13565 +networkx/algorithms/smetric.py,sha256=_Aj4BIMnafiXbJtLkvAfAnIEMdI9OcVvMy6kk9KKTns,770 +networkx/algorithms/sparsifiers.py,sha256=4T8pMlh-usEHA2-rZFh-CmZbBY9dcXIHjoqR-oJ2hSw,10048 +networkx/algorithms/structuralholes.py,sha256=CS89P45_m1JGFGnSGA-FlC2xnt0BYq3O5ky1zkjYEDI,9342 +networkx/algorithms/summarization.py,sha256=CygTsSthyCKHs0ZTZsCgWnyaT8annQbLpUtahmfY9Sw,23251 +networkx/algorithms/swap.py,sha256=NVZMmlnkdxgwwNw5GDrc8waNERcdCu52ydHcBdOA_hw,14744 +networkx/algorithms/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_asteroidal.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_boundary.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_bridges.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_broadcasting.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_chains.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_chordal.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_clique.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_cluster.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_communicability.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_core.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_covering.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_cuts.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_cycles.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_d_separation.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_dag.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_distance_measures.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_distance_regular.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_dominance.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_dominating.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_efficiency.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_euler.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_graph_hashing.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_graphical.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_hierarchy.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_hybrid.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_isolate.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_link_prediction.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_lowest_common_ancestors.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_matching.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_max_weight_clique.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_mis.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_moral.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_node_classification.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_non_randomness.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_planar_drawing.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_planarity.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_polynomials.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_reciprocity.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_regular.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_richclub.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_similarity.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_simple_paths.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_smallworld.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_smetric.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_sparsifiers.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_structuralholes.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_summarization.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_swap.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_threshold.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_time_dependent.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_tournament.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_triads.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_vitality.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_voronoi.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_walks.cpython-310.pyc,, +networkx/algorithms/tests/__pycache__/test_wiener.cpython-310.pyc,, +networkx/algorithms/tests/test_asteroidal.py,sha256=DnWI5_jnaaZMxtG44XD0K690HZs8ez7HU_9dSR-p6eA,502 +networkx/algorithms/tests/test_boundary.py,sha256=1OSJh32FYFhAVYB5zqxhZGEXZLS0HPp9kvfHZvWmD3o,6227 +networkx/algorithms/tests/test_bridges.py,sha256=jSCguECho0GNHnu0vpRh1twyfGP6tWFcaYL1rgvc8mU,4026 +networkx/algorithms/tests/test_broadcasting.py,sha256=2LIMrKmSGSSWRLy5TR_NzDQD1annA2JohpsbEbVJKfE,2021 +networkx/algorithms/tests/test_chains.py,sha256=Vhpf0maR3OUaa6aUxC6FNYLeUvBKPZyFimM4_WsLQKo,4364 +networkx/algorithms/tests/test_chordal.py,sha256=DPdNPY7KtqCsCwYVb4xQfnIm-z35dUJIWxNHtAiQLAQ,4438 +networkx/algorithms/tests/test_clique.py,sha256=FPIF2f8NLODsz-k_qrHt7DolClV_VdNWSh68oe8-ygI,9413 +networkx/algorithms/tests/test_cluster.py,sha256=CzYPJm4QY5SL-amMNh2ItPgQ-FjePPG9EBfIKOZHp6s,15883 +networkx/algorithms/tests/test_communicability.py,sha256=4KK9wU9gAUqHAAAyHwAKpq2dV9g415s_X0qd7Tt83gU,2938 +networkx/algorithms/tests/test_core.py,sha256=CF7YPX3F2pUtBu2sp4ZEAGRldaBkdgr1ufk6UkrETuA,9555 +networkx/algorithms/tests/test_covering.py,sha256=EeBjQ5mxcVctgavqXZ255T8ryFocuxjxdVpIxVUNFvw,2718 +networkx/algorithms/tests/test_cuts.py,sha256=gKm9VDtnmwFli6kgwV1ktEFI_rw84p2Sg02Em6SoW5Q,5376 +networkx/algorithms/tests/test_cycles.py,sha256=Sp7PSNB8iy_iST90uNDv8mXwiSOXWRYLkUFJz9pwHWU,34424 +networkx/algorithms/tests/test_d_separation.py,sha256=ZypzMVDpBZo_4qBlieFlj3RVU6vh7tejEZGlu7qcQbc,10929 +networkx/algorithms/tests/test_dag.py,sha256=aEUvVl7Ht3XC2XdBanoCDNM7vpPb8YELvMQDawLZbhQ,29385 +networkx/algorithms/tests/test_distance_measures.py,sha256=WHsOxV9mI-PqJa08C65Gd3myv5G7fzDehX_atJLql7Q,26154 +networkx/algorithms/tests/test_distance_regular.py,sha256=w27OTUtAI0VQv7cikkOdJg4bo4q7xTNIVE8nbU_x7b8,2915 +networkx/algorithms/tests/test_dominance.py,sha256=QVBj3SarZNm57YKavOLFtwU43xn4fxcEU6chn2Gfuaw,9194 +networkx/algorithms/tests/test_dominating.py,sha256=hyta7ln6BbHaGlpEUla6jVzh2PRuSjvujLSGXrmwZbc,1228 +networkx/algorithms/tests/test_efficiency.py,sha256=QKWMvyjCG1Byt-oNp7Rz_qxnVeT77Zk27lrzI1qH0mA,1894 +networkx/algorithms/tests/test_euler.py,sha256=L4L1ljHVxQxjQQludO2r6k3UZU7WAY_N6WYUjFx1fEk,11209 +networkx/algorithms/tests/test_graph_hashing.py,sha256=MqRwsNbyRWUy94V7UuDqEREuHxFTSn7-d0HzwSDI2As,24534 +networkx/algorithms/tests/test_graphical.py,sha256=uhFjvs04odxABToY4IRig_CaUTpAC3SfZRu1p1T7FwY,5366 +networkx/algorithms/tests/test_hierarchy.py,sha256=uW8DqCdXiAeypkNPKcAYX7aW86CawYH84Q0bW4cDTXo,1184 +networkx/algorithms/tests/test_hybrid.py,sha256=kQLzaMoqZcKFaJ3D7PKbY2O-FX59XDZ1pN5un8My-tk,720 +networkx/algorithms/tests/test_isolate.py,sha256=LyR0YYHJDH5vppQzGzGiJK-aaIV17_Jmla8dMf93olg,555 +networkx/algorithms/tests/test_link_prediction.py,sha256=Jah4vOGDYcWaPSl_iG-0fOXnhu5o8f6wcfakRmWuX7I,20004 +networkx/algorithms/tests/test_lowest_common_ancestors.py,sha256=GvhYCQMnVYD9LHPCNFgWMAUmOV8V5gko0fe05zi1JwU,13153 +networkx/algorithms/tests/test_matching.py,sha256=jhehNkApE5RuMPtbjWNeHn0tPqhVz65mL7QakfRA3Vw,20174 +networkx/algorithms/tests/test_max_weight_clique.py,sha256=M1eoy8OtuQVZkEvNMauV9vqR6hHtOCrtq6INv2qzMyA,6739 +networkx/algorithms/tests/test_mis.py,sha256=Z2tKoqbs-AFPzEBDYO7S8U-F7usLfZJ2l6j2DpZUts4,1865 +networkx/algorithms/tests/test_moral.py,sha256=15PZgkx7O9aXQB1npQ2JNqBBkEqPPP2RfeZzKqY-GNU,452 +networkx/algorithms/tests/test_node_classification.py,sha256=NgJJKUHH1GoD1GE3F4QRYBLM3fUo_En3RNtZvhqCjlg,4663 +networkx/algorithms/tests/test_non_randomness.py,sha256=xMkJp0F91Qn45EUuMottk1WSDfOQ90TDQfZFDSJ8tkE,1000 +networkx/algorithms/tests/test_planar_drawing.py,sha256=NN55y2cs9IdZYwUsG-RbI07aGSMx5gp5vnmGLC2vopo,8765 +networkx/algorithms/tests/test_planarity.py,sha256=rrIGX28JoG_DqINsuY4TSdDloxnz4dkCd3xeRo9Svqs,16386 +networkx/algorithms/tests/test_polynomials.py,sha256=baI0Kua1pRngRC6Scm5gRRwi1bl0iET5_Xxo3AZTP3A,1983 +networkx/algorithms/tests/test_reciprocity.py,sha256=X_PXWFOTzuEcyMWpRdwEJfm8lJOfNE_1rb9AAybf4is,1296 +networkx/algorithms/tests/test_regular.py,sha256=5KGvwhixanEigI0KgeUJ1hWPw7YRGZgNbrMkKcndd5M,2626 +networkx/algorithms/tests/test_richclub.py,sha256=ql_j69gIoph8d6oD2tzDqu3b-uW884nmEJZQmWANR6k,3965 +networkx/algorithms/tests/test_similarity.py,sha256=BV5f4DiSQHPsXkSosf29idxGQ_wLiTwEsiHtgDOLLw4,33189 +networkx/algorithms/tests/test_simple_paths.py,sha256=7U9wCXz4SHK0XeYrs1k2KjYgrYVQDnts2ggQLzU18p0,25181 +networkx/algorithms/tests/test_smallworld.py,sha256=rfgNCRU6YF55f8sCuA5WmX6MmhDci89Tb4jaz4ALjcQ,2405 +networkx/algorithms/tests/test_smetric.py,sha256=VM14L4X1AABvINDL9qKXzlech_Q2g4Aee-ozWM2Qrr4,144 +networkx/algorithms/tests/test_sparsifiers.py,sha256=1GRbQy1vfmwv6eUhP4Io0aykH2VyTJfFWmncrXmTqi4,4044 +networkx/algorithms/tests/test_structuralholes.py,sha256=NsQfW85GquVUndyHBVo5OMku_C8i8bfE-4WXJr5dILw,5290 +networkx/algorithms/tests/test_summarization.py,sha256=uNyaUstobIEu6M_Hexik-3YiYTRSy_XO6LUqoE4wazw,21312 +networkx/algorithms/tests/test_swap.py,sha256=WJtGMkSbAd1Cv06VaUeDVHosNOtdigsqEspyux0ExCs,6144 +networkx/algorithms/tests/test_threshold.py,sha256=RF_SM5tdMGJfEHETO19mFicnt69UIlvVeuCwI7rxb0M,9751 +networkx/algorithms/tests/test_time_dependent.py,sha256=NmuV2kDo4nh2MeN0hwcJf0QSDtqMD0dfSeeKSsYBtQ8,13342 +networkx/algorithms/tests/test_tournament.py,sha256=XF6TwqPwJ7bKKuD7vM1Q7a9NnKerk38lWghvqTekQfk,4159 +networkx/algorithms/tests/test_triads.py,sha256=anSuYt1ZmV0_aGtSPLl5YxEQZHOuo0QndNADUdZKqdY,9383 +networkx/algorithms/tests/test_vitality.py,sha256=p5lPWCtVMtbvxDw6TJUaf8vpb0zKPoz5pND722xiypQ,1380 +networkx/algorithms/tests/test_voronoi.py,sha256=M4B6JtkJUw56ULEWRs1kyVEUsroNrnb5FBq9OioAyHM,3477 +networkx/algorithms/tests/test_walks.py,sha256=X8cb-YvGHiiqbMEXuKMSdTAb9WtVtbHjIESNSqpJTmU,1499 +networkx/algorithms/tests/test_wiener.py,sha256=k9ld7wdPq5knS6cjo0hja8aWL-cdxYKGRpDU0z3cvNI,3209 +networkx/algorithms/threshold.py,sha256=1HBOrQTyEaEp2uoIHsAlTEMpYAYXoRnR-6PaOKIjdZE,31150 +networkx/algorithms/time_dependent.py,sha256=PAeJ7Yt8kUqbDgvBaz_ZfUFZg-w-vf1gPC0HO6go_TI,5762 +networkx/algorithms/tournament.py,sha256=nx-PSefooyyYAwhFa9a7SRZSRL_ky5Rq19lYP79-0E8,11579 +networkx/algorithms/traversal/__init__.py,sha256=YtFrfNjciqTOI6jGePQaJ01tRSEQXTHqTGGNhDEDb_8,142 +networkx/algorithms/traversal/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/traversal/__pycache__/beamsearch.cpython-310.pyc,, +networkx/algorithms/traversal/__pycache__/breadth_first_search.cpython-310.pyc,, +networkx/algorithms/traversal/__pycache__/depth_first_search.cpython-310.pyc,, +networkx/algorithms/traversal/__pycache__/edgebfs.cpython-310.pyc,, +networkx/algorithms/traversal/__pycache__/edgedfs.cpython-310.pyc,, +networkx/algorithms/traversal/beamsearch.py,sha256=Vn0U4Wck8ICShIAGggv3tVtQWVW0ABEz_hcBsGrql6o,3473 +networkx/algorithms/traversal/breadth_first_search.py,sha256=iFE-rskYn-oOOEI8ocCbCD3QMH5PX41RP8Xb2Krb2H8,18288 +networkx/algorithms/traversal/depth_first_search.py,sha256=2V4T3tGujcAtV3W6WcTQUjGAAe3b1rqinONowUhLsa8,16795 +networkx/algorithms/traversal/edgebfs.py,sha256=s8lugT0l6J8HRmB8dCs3D1UxZa95SGHGyP2WCfaABOc,6244 +networkx/algorithms/traversal/edgedfs.py,sha256=_s9N4UKaEi8sRtJ604qPHl_NIM92rOLkgec9ZPwZYp0,5957 +networkx/algorithms/traversal/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/traversal/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/traversal/tests/__pycache__/test_beamsearch.cpython-310.pyc,, +networkx/algorithms/traversal/tests/__pycache__/test_bfs.cpython-310.pyc,, +networkx/algorithms/traversal/tests/__pycache__/test_dfs.cpython-310.pyc,, +networkx/algorithms/traversal/tests/__pycache__/test_edgebfs.cpython-310.pyc,, +networkx/algorithms/traversal/tests/__pycache__/test_edgedfs.cpython-310.pyc,, +networkx/algorithms/traversal/tests/test_beamsearch.py,sha256=bzUcswZ1qo0ecDZYSER_4enbsW6SjTpb_3Nb3fqmkAo,900 +networkx/algorithms/traversal/tests/test_bfs.py,sha256=mOMBIo1SEplTa0zQI3XN__UovQgd573t8q2_rxu7e90,6465 +networkx/algorithms/traversal/tests/test_dfs.py,sha256=EqLV_C-3frQ89C-SD0jtHvWEankNfPXm6M76JDdenq0,10604 +networkx/algorithms/traversal/tests/test_edgebfs.py,sha256=8oplCu0fct3QipT0JB0-292EA2aOm8zWlMkPedfe6iY,4702 +networkx/algorithms/traversal/tests/test_edgedfs.py,sha256=HGmC3GUYSn9XLMHQpdefdE6g-Uh3KqbmgEEXBcckdYc,4775 +networkx/algorithms/tree/__init__.py,sha256=wm_FjX3G7hqJfyNmeEaJsRjZI-8Kkv0Nb5jAmQNXzSc,149 +networkx/algorithms/tree/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/tree/__pycache__/branchings.cpython-310.pyc,, +networkx/algorithms/tree/__pycache__/coding.cpython-310.pyc,, +networkx/algorithms/tree/__pycache__/decomposition.cpython-310.pyc,, +networkx/algorithms/tree/__pycache__/mst.cpython-310.pyc,, +networkx/algorithms/tree/__pycache__/operations.cpython-310.pyc,, +networkx/algorithms/tree/__pycache__/recognition.cpython-310.pyc,, +networkx/algorithms/tree/branchings.py,sha256=B0c_uKpcnV2SwJMZJRK0BMEz8LkvIcOhv1y0AI0gTnY,34339 +networkx/algorithms/tree/coding.py,sha256=uFqGL6g1QWjGC4F9MCrsz_8rjWeuMJr5HUumGNsqXV4,13464 +networkx/algorithms/tree/decomposition.py,sha256=lY_rqx9JxnLEkp1wiAv0mX62PGPwGQ6SW4Jp48o8aiw,3071 +networkx/algorithms/tree/mst.py,sha256=nvaqotj00pnqAMY6_mOr8YLAAd2u-ApefXzzWU_4JVo,46140 +networkx/algorithms/tree/operations.py,sha256=1N6AH0vfY2QyyYBH_OOE0b7dS7dx9-pT3cOTQVmE1A0,4042 +networkx/algorithms/tree/recognition.py,sha256=bYnaDN0ZaIWTgq0tbPEHAcdxQBWZpDvWypZarBbA334,7569 +networkx/algorithms/tree/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/algorithms/tree/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/algorithms/tree/tests/__pycache__/test_branchings.cpython-310.pyc,, +networkx/algorithms/tree/tests/__pycache__/test_coding.cpython-310.pyc,, +networkx/algorithms/tree/tests/__pycache__/test_decomposition.cpython-310.pyc,, +networkx/algorithms/tree/tests/__pycache__/test_mst.cpython-310.pyc,, +networkx/algorithms/tree/tests/__pycache__/test_operations.cpython-310.pyc,, +networkx/algorithms/tree/tests/__pycache__/test_recognition.cpython-310.pyc,, +networkx/algorithms/tree/tests/test_branchings.py,sha256=uSMc57nLXLBRgm_ERqUSNSrTfq9R3ZWDFkyrG3KR8Vs,17727 +networkx/algorithms/tree/tests/test_coding.py,sha256=XC6SbfA2zVGH4FyJJyv6o8eOnBu7FNzNot3SKs7QmEo,3955 +networkx/algorithms/tree/tests/test_decomposition.py,sha256=vnl_xoQzi1LnlZL25vXOZWwvaWmon3-x222OKt4eDqE,1871 +networkx/algorithms/tree/tests/test_mst.py,sha256=ad6kAEpAF9PH1FyD_jHa2xnAtgBGs75sYGTY0s530BQ,31631 +networkx/algorithms/tree/tests/test_operations.py,sha256=ybU96kROTVJRTyjLG7JSJjYlPxaWmYjUVJqbXV5VGGI,1961 +networkx/algorithms/tree/tests/test_recognition.py,sha256=qeMEIvg-j2MqaU-TNIQhCcXxao8vTBy0wjpU7jr2iw8,4521 +networkx/algorithms/triads.py,sha256=Gf0f6liwgARszL-R4yQle-ogGH4mJkF-gureeUTxGyY,16853 +networkx/algorithms/vitality.py,sha256=8M1cubIydO49El2kwVCURHZ2UwCtfGVFeGS8-JYt1ko,2289 +networkx/algorithms/voronoi.py,sha256=07SnSpxLDz4k6K59Jo-VTNA-Qy5knaHfBC-y_5vAOLQ,3183 +networkx/algorithms/walks.py,sha256=0JOLhpAyeNzmF8EtlVlYOWEPJJvCIltt7tbk1Vx52dI,2427 +networkx/algorithms/wiener.py,sha256=WOUG0L5xDKpY4uspyI-oDo1hWuHxbUnTFZEe_-IAx5M,7639 +networkx/classes/__init__.py,sha256=Q9oONJrnTFs874SGpwcbV_kyJTDcrLI69GFt99MiE6I,364 +networkx/classes/__pycache__/__init__.cpython-310.pyc,, +networkx/classes/__pycache__/coreviews.cpython-310.pyc,, +networkx/classes/__pycache__/digraph.cpython-310.pyc,, +networkx/classes/__pycache__/filters.cpython-310.pyc,, +networkx/classes/__pycache__/function.cpython-310.pyc,, +networkx/classes/__pycache__/graph.cpython-310.pyc,, +networkx/classes/__pycache__/graphviews.cpython-310.pyc,, +networkx/classes/__pycache__/multidigraph.cpython-310.pyc,, +networkx/classes/__pycache__/multigraph.cpython-310.pyc,, +networkx/classes/__pycache__/reportviews.cpython-310.pyc,, +networkx/classes/coreviews.py,sha256=9koRKORoAkI0spB-yMCkqXvry7mMd6hmSPhBab3SzcE,13143 +networkx/classes/digraph.py,sha256=Fup1GbADCpXKLA12M67RbhA0cm6BGi_4cIxBLsjHEtc,48101 +networkx/classes/filters.py,sha256=PCy7BsoIby8VcamqDjZQiNAe_5egI0WKUq-y5nc9unQ,2817 +networkx/classes/function.py,sha256=H6ho_EtU8zRTNv4VCaLb_BY_56PplSiftktk-OkqdcU,38898 +networkx/classes/graph.py,sha256=bc5yHCeDu0XyfBOR0nRx9rEMOpry9FdezxqiCIYPH1E,71102 +networkx/classes/graphviews.py,sha256=ulUTLozEK_hj_4TGHdgvxveR2-rb92Q14jjxH4oH4Go,8520 +networkx/classes/multidigraph.py,sha256=aOqjfSJ6Lx9l-1zwCIMNYRW0mW1wPDniEcRWQ8gKmYY,36351 +networkx/classes/multigraph.py,sha256=PSZR7QgyszlO5PqzhxI954LySqLHq-589OQrCOtC9pw,47248 +networkx/classes/reportviews.py,sha256=u0hNZqaWXCfLMP_lq835XCIVStkZQJ9HaQPeDPPoo88,46132 +networkx/classes/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/classes/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/classes/tests/__pycache__/dispatch_interface.cpython-310.pyc,, +networkx/classes/tests/__pycache__/historical_tests.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_coreviews.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_digraph.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_digraph_historical.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_filters.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_function.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_graph.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_graph_historical.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_graphviews.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_multidigraph.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_multigraph.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_reportviews.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_special.cpython-310.pyc,, +networkx/classes/tests/__pycache__/test_subgraphviews.cpython-310.pyc,, +networkx/classes/tests/dispatch_interface.py,sha256=OA4t1XQX7Qqm3pGhTZYKno4c_zbIcvpSWstO_LXIVRo,6479 +networkx/classes/tests/historical_tests.py,sha256=nrv0ccvUMtp714VEV1I9UTwWz8ohgujbC-Xnxpc7kU8,16174 +networkx/classes/tests/test_coreviews.py,sha256=qzdozzWK8vLag-CAUqrXAM2CZZwMFN5vMu6Tdrwdf-E,12128 +networkx/classes/tests/test_digraph.py,sha256=uw0FuEu3y_YI-PSGuQCRytFpXLF7Eye2fqLJaKbXkBc,12283 +networkx/classes/tests/test_digraph_historical.py,sha256=Q8DGba1o0xRZfdsQxreq9naREFSgVhbaZOvTT7W8mdc,3684 +networkx/classes/tests/test_filters.py,sha256=fBLig8z548gsBBlQw6VJdGZb4IcqJj7_0mi2Fd2ncEM,5851 +networkx/classes/tests/test_function.py,sha256=a7fsmmdOSX-OYTEP0RV27vh4e_jyZh9w6SX1iABMVq0,34997 +networkx/classes/tests/test_graph.py,sha256=77t7pk1Pmz-txewyD2Dv19Vva6vWpWCtJSPtFx-EY_Y,30913 +networkx/classes/tests/test_graph_historical.py,sha256=Jl3aCS1BtwoCRdajMKDZcMQRypkOis0J_XU2LHEmYUE,274 +networkx/classes/tests/test_graphviews.py,sha256=i4x3ii8--PPg_pK4YA8aMR1axUQCdXZYpzmB05iEAOg,11466 +networkx/classes/tests/test_multidigraph.py,sha256=ryTKegCoYixXbAqOn3mIt9vSMb5666Dv-pfMkXEjoUE,16342 +networkx/classes/tests/test_multigraph.py,sha256=0vFQO3RCJaBpzXvnQzdWa_qYLHNo_I9DICYhPZJNUMk,18777 +networkx/classes/tests/test_reportviews.py,sha256=dNL6fMMsumYKU4Q_kx-vsXB3GU9xTQxrQn45qoa8e8I,41919 +networkx/classes/tests/test_special.py,sha256=IJsmqCS9LrTDoZ11KPmo-UOI7xEskL7NyduEJNPMNqs,4103 +networkx/classes/tests/test_subgraphviews.py,sha256=1dcJHq3F00LyoFSu6CTFPqS7DFIkWK1PyQu4QvJh5ko,13223 +networkx/conftest.py,sha256=0wpXc9prGYLSw5gG-VvummltLxH5RtKeGwrxFsChe4E,8883 +networkx/convert.py,sha256=yB_MTl3GEvNb3CgDcBiCrhIN4LlV5N_BN9A0ykhBr7E,16025 +networkx/convert_matrix.py,sha256=7kc66-0XFGQUox3fVZuapUV4qCprg92ECe9BMjfSpCE,45383 +networkx/drawing/__init__.py,sha256=rnTFNzLc4fis1hTAEpnWTC80neAR88-llVQ-LObN-i4,160 +networkx/drawing/__pycache__/__init__.cpython-310.pyc,, +networkx/drawing/__pycache__/layout.cpython-310.pyc,, +networkx/drawing/__pycache__/nx_agraph.cpython-310.pyc,, +networkx/drawing/__pycache__/nx_latex.cpython-310.pyc,, +networkx/drawing/__pycache__/nx_pydot.cpython-310.pyc,, +networkx/drawing/__pycache__/nx_pylab.cpython-310.pyc,, +networkx/drawing/layout.py,sha256=eA5YJ2xA-AYDL1WFICETTqfnl7amjRYfkgOJEJbigvw,50243 +networkx/drawing/nx_agraph.py,sha256=bbtLuusDb4vNu6EPF9rgBdJsP-DaIFyzPgxBn5KEA1I,13937 +networkx/drawing/nx_latex.py,sha256=zSGYPpn3wewWaEBCJerq6gRb5RmKP9SY0sLWhyqD8Xo,24805 +networkx/drawing/nx_pydot.py,sha256=b_USURmDffy1KWh2ue1vMf99-zCJiETldIDS7HGHitc,9591 +networkx/drawing/nx_pylab.py,sha256=WTqktY5niRF56x4bsotbGrastccRtgUcsxjqYt8Oe_s,66369 +networkx/drawing/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/drawing/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/drawing/tests/__pycache__/test_agraph.cpython-310.pyc,, +networkx/drawing/tests/__pycache__/test_latex.cpython-310.pyc,, +networkx/drawing/tests/__pycache__/test_layout.cpython-310.pyc,, +networkx/drawing/tests/__pycache__/test_pydot.cpython-310.pyc,, +networkx/drawing/tests/__pycache__/test_pylab.cpython-310.pyc,, +networkx/drawing/tests/baseline/test_house_with_colors.png,sha256=FQi9pIRFwjq4gvgB8cDdBHL5euQUJFw6sQlABf2kRVo,21918 +networkx/drawing/tests/test_agraph.py,sha256=BzrfyQYEtaUbxOzhROLE6njzpG6ZxW7QkRdpVholLAY,8789 +networkx/drawing/tests/test_latex.py,sha256=_Wng73kMltC-_sUoxdo2uBL2bkEc7HMqkKhwo9ZDJGA,8710 +networkx/drawing/tests/test_layout.py,sha256=IWl7cCFb_eGowjACF5tki9voThOzHNpPgjkonzH-pzQ,20611 +networkx/drawing/tests/test_pydot.py,sha256=X9b66gWqMgdTEyRJ7Zmy5kL9cr22waI688K9BJUf4Bk,4973 +networkx/drawing/tests/test_pylab.py,sha256=KgWiNwgkdSn-A36-DP68ZFibbb6JWV4SOJA7O433Y5U,35921 +networkx/exception.py,sha256=hC8efPfIzOFo0jiWiQbTPaNKuNTuUwhp9RPw--pdv4U,3787 +networkx/generators/__init__.py,sha256=EoYB5c5ZE4rsNKZvl1TRQy2Vo2D3T2H-YunyD2i6sa0,1366 +networkx/generators/__pycache__/__init__.cpython-310.pyc,, +networkx/generators/__pycache__/atlas.cpython-310.pyc,, +networkx/generators/__pycache__/classic.cpython-310.pyc,, +networkx/generators/__pycache__/cographs.cpython-310.pyc,, +networkx/generators/__pycache__/community.cpython-310.pyc,, +networkx/generators/__pycache__/degree_seq.cpython-310.pyc,, +networkx/generators/__pycache__/directed.cpython-310.pyc,, +networkx/generators/__pycache__/duplication.cpython-310.pyc,, +networkx/generators/__pycache__/ego.cpython-310.pyc,, +networkx/generators/__pycache__/expanders.cpython-310.pyc,, +networkx/generators/__pycache__/geometric.cpython-310.pyc,, +networkx/generators/__pycache__/harary_graph.cpython-310.pyc,, +networkx/generators/__pycache__/internet_as_graphs.cpython-310.pyc,, +networkx/generators/__pycache__/intersection.cpython-310.pyc,, +networkx/generators/__pycache__/interval_graph.cpython-310.pyc,, +networkx/generators/__pycache__/joint_degree_seq.cpython-310.pyc,, +networkx/generators/__pycache__/lattice.cpython-310.pyc,, +networkx/generators/__pycache__/line.cpython-310.pyc,, +networkx/generators/__pycache__/mycielski.cpython-310.pyc,, +networkx/generators/__pycache__/nonisomorphic_trees.cpython-310.pyc,, +networkx/generators/__pycache__/random_clustered.cpython-310.pyc,, +networkx/generators/__pycache__/random_graphs.cpython-310.pyc,, +networkx/generators/__pycache__/small.cpython-310.pyc,, +networkx/generators/__pycache__/social.cpython-310.pyc,, +networkx/generators/__pycache__/spectral_graph_forge.cpython-310.pyc,, +networkx/generators/__pycache__/stochastic.cpython-310.pyc,, +networkx/generators/__pycache__/sudoku.cpython-310.pyc,, +networkx/generators/__pycache__/time_series.cpython-310.pyc,, +networkx/generators/__pycache__/trees.cpython-310.pyc,, +networkx/generators/__pycache__/triads.cpython-310.pyc,, +networkx/generators/atlas.dat.gz,sha256=c_xBbfAWSSNgd1HLdZ9K6B3rX2VQvyW-Wcht47dH5B0,8887 +networkx/generators/atlas.py,sha256=07Xegzj5j_SiApgzgve2rSTXp0nmWwCw7-1keUjbvRo,5606 +networkx/generators/classic.py,sha256=68lCnSeo50uV1yoc6ZvjnckR7lAbrhUdniyEogczvB4,32000 +networkx/generators/cographs.py,sha256=-WR4_yrNk_X5nj7egb7A22eKPVymOdIYM-IftSRH4WA,1891 +networkx/generators/community.py,sha256=_p_4OfItbg8nS0b3EvojCXZ8cESdC-0Gj67V5w2veuM,34911 +networkx/generators/degree_seq.py,sha256=97XUApgQZrpSxyXODgVLP9drX5rEF-Xb40bYqaBGSj0,30173 +networkx/generators/directed.py,sha256=Vcg0zeWFS2-F99bFmhXj4mzlCy_yoBuuqjnSx5I-Dco,15696 +networkx/generators/duplication.py,sha256=hmYAHJBez7WlfdVGGa288JFUBHoIUdVqEGCodApKOr4,5831 +networkx/generators/ego.py,sha256=TZ-o05FpvVPAdXFBLjjfa2FnAcZwlgqr_1jMdLTzFSg,1900 +networkx/generators/expanders.py,sha256=nJMys4kHNHZzC5jkyCFftw1W_6cF_r82eGTqn7cNrDo,14455 +networkx/generators/geometric.py,sha256=cCrx1HdlLc08klO6bBzb-g0GUfF2AaktCrJOmhDSWUo,39610 +networkx/generators/harary_graph.py,sha256=N6vzXKrW-ZU-xDc2ZTF_Gf7kb0LRQVRfK2oLBQvyVO8,6159 +networkx/generators/internet_as_graphs.py,sha256=Y_pQaGhe183X6dXH4ocqIK3DzXRz0oXE-AKwsL1yCHk,14172 +networkx/generators/intersection.py,sha256=EFm0AOjnqyp8KcT7kGWqANq-_vq9kQ0d_0DzVyQyP-o,4101 +networkx/generators/interval_graph.py,sha256=ZTmdgQbBx3M6sysGWXbGyngYYOC1TAXD3Ozkw4deQFw,2204 +networkx/generators/joint_degree_seq.py,sha256=nyp86NC_4XvzvwpwwzKrrCSz1i_4bESSDtVjWvpkWFg,24773 +networkx/generators/lattice.py,sha256=kVCvTahWPQGNbok6maXfaqGzm88UuxhP7D9BkKhGW1o,13500 +networkx/generators/line.py,sha256=4mFH60EsHvb4wW34E45Byl_rXjDPICD59caoAtOE8VI,17531 +networkx/generators/mycielski.py,sha256=xBX2m77sCzumoH5cAGitksvEEW-ocbCnbdaN7fKUtVk,3314 +networkx/generators/nonisomorphic_trees.py,sha256=gE7uPB-uaE6rEfaimmR9bqobso5yclcCG6u8zwZlS48,6453 +networkx/generators/random_clustered.py,sha256=i_NdvvchHvsvbwgQtoWSY_pLwvhO9Lh02MSZXzgGb7c,4183 +networkx/generators/random_graphs.py,sha256=qi_AjT9Hx5M6ujgTe-DBVIsY9LwqPPZjuAHFMIaQOOc,51346 +networkx/generators/small.py,sha256=Xs9JNTtoLiShg7fF7_VRJ-G18JGSt4JEMmhhtpS51r8,28171 +networkx/generators/social.py,sha256=IUVgWVMUmRaUG28U0KzB--0DtKLdCFDz54tkJ69W4ms,23437 +networkx/generators/spectral_graph_forge.py,sha256=kF4SCE3dcgwBA9bMys5O-mCf529dFhraw3Zmy9GRnQ4,4240 +networkx/generators/stochastic.py,sha256=Qg9vWm9EOug2OQVIHL_dZ5HrXc16lxnWyzX52KWNEPI,1981 +networkx/generators/sudoku.py,sha256=kLM2AP0H4966uYiNO1oAFEmv5qBftU_bOfYucRxexM0,4288 +networkx/generators/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/generators/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_atlas.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_classic.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_cographs.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_community.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_degree_seq.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_directed.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_duplication.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_ego.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_expanders.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_geometric.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_harary_graph.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_internet_as_graphs.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_intersection.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_interval_graph.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_joint_degree_seq.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_lattice.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_line.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_mycielski.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_nonisomorphic_trees.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_random_clustered.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_random_graphs.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_small.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_spectral_graph_forge.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_stochastic.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_sudoku.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_time_series.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_trees.cpython-310.pyc,, +networkx/generators/tests/__pycache__/test_triads.cpython-310.pyc,, +networkx/generators/tests/test_atlas.py,sha256=nwXJL4O5jUqhTwqhkPxHY8s3KXHQTDEdsfbg4MsSzVQ,2530 +networkx/generators/tests/test_classic.py,sha256=PlEZOxT8XADzyDL-GIItEx66hW4bvVl4UCo4ojX4m80,24021 +networkx/generators/tests/test_cographs.py,sha256=Khqvx15VNWHjNkMeEpsio3oJAi8KoiYqfTqKVbQWT9U,458 +networkx/generators/tests/test_community.py,sha256=FGcDo3Ajb-yYc5kUkFbVfOJVMG-YppbAtjgBPcVzjLc,11311 +networkx/generators/tests/test_degree_seq.py,sha256=in6lg1pwcAg1N08MA3lQdr3lnm2-aoUy3BRm6Yj_OBQ,7093 +networkx/generators/tests/test_directed.py,sha256=A01l9R-VBauEN7UEtLkkp9SubjjrnC_QWR2w0Q5GHq0,5259 +networkx/generators/tests/test_duplication.py,sha256=UdIGDF_fishanWid1xO_aH4NDfie8xpIqd26qndhOqI,3155 +networkx/generators/tests/test_ego.py,sha256=8v1Qjmkli9wIhhUuqzgqCzysr0C1Z2C3oJMCUoNvgY4,1327 +networkx/generators/tests/test_expanders.py,sha256=0X78pbB1PnW4pxa7UvlA5lzq6u0ZCfnvMBMYJvLHYH0,5602 +networkx/generators/tests/test_geometric.py,sha256=gnVm4dam_Er88YwaNpNZC6mjJjfgwMYhyLOtU9oPn1o,18087 +networkx/generators/tests/test_harary_graph.py,sha256=GiX5LXXJaNxzjvd-Nyw_QuARzbFGkA6zE1R1eX8mclw,4936 +networkx/generators/tests/test_internet_as_graphs.py,sha256=QmzkOnWg9bcSrv31UcaD6Cko55AV-GPLLY5Aqb_Dmvs,6795 +networkx/generators/tests/test_intersection.py,sha256=hcIit5fKfOn3VjMhz9KqovZK9tzxZfmC6ezvA7gZAvM,819 +networkx/generators/tests/test_interval_graph.py,sha256=JYMi-QMkJQdBU9uOdfm0Xr6MEYqIbhU5oSDa6D3tSb0,4277 +networkx/generators/tests/test_joint_degree_seq.py,sha256=8TXTZI3Um2gBXtP-4yhGKf9vCi78-NVmWZw9r9WG3F8,4270 +networkx/generators/tests/test_lattice.py,sha256=q4Ri-dH9mKhfq0PNX9xMeYRUiP0JlPBr7piSruZlFlg,9290 +networkx/generators/tests/test_line.py,sha256=vXncJuny2j5ulCJyT01Rt1tTwPib4XelS3dJDdJXjx0,10378 +networkx/generators/tests/test_mycielski.py,sha256=fwZLO1ybcltRy6TzCel8tPBil1oZWv9QSXs779H6Xt0,946 +networkx/generators/tests/test_nonisomorphic_trees.py,sha256=g5zkb0T7mkb2AdT-GkIGPXvahh9lv-f-XddJ80Y0Zfg,2454 +networkx/generators/tests/test_random_clustered.py,sha256=SalHqWvpnXA3QrDRMjLx15dk2c4Us8Ck52clUERoUI8,1297 +networkx/generators/tests/test_random_graphs.py,sha256=RTrKahiDHdXIb2ScFzQk3vrxncnMOE3W5LyJfIPvuKc,18925 +networkx/generators/tests/test_small.py,sha256=K4-sSBZca3UMP1deUOWlkSzpanJBAT-vQdr11PMI_QY,7060 +networkx/generators/tests/test_spectral_graph_forge.py,sha256=x4jyTiQiydaUPWYaGsNFsIB47PAzSSwQYCNXGa2B4SU,1594 +networkx/generators/tests/test_stochastic.py,sha256=f-5KD3RpoQf369gXHH7KGebE19g5lCkXR_alcwmFm_s,2179 +networkx/generators/tests/test_sudoku.py,sha256=dgOmk-B7MxCVkbHdZzsLZppQ61FAArVy4McSVL8Afzo,1968 +networkx/generators/tests/test_time_series.py,sha256=rgmFcitlKa_kF6TzJ2ze91lSmNJlqjhvgrYet0AUZx8,2230 +networkx/generators/tests/test_trees.py,sha256=Pvh0MvTKaRuZuwWL-wpJIC0zlBAcnTirpSLJi-9c7qc,7006 +networkx/generators/tests/test_triads.py,sha256=K8anVEP8R90Y172IrKIOrYRWRJBGeqxNqU9isX7Ybxs,333 +networkx/generators/time_series.py,sha256=_DMiY9X95O_9sK2BSeeTb2yMWfStBwKFWwn6FUOXN4Q,2439 +networkx/generators/trees.py,sha256=2a8MsKTzQfFLBESG5oocbTaMv0cYX0vtedFD29eiOFA,36533 +networkx/generators/triads.py,sha256=7kScTf3ITDi3qsSa-IvGMpa9diEaFwQnRuIf3Tv4UBI,2452 +networkx/lazy_imports.py,sha256=tYxP13tZ3p8-Qh--Mey4ZXZqQhWgQAbI7xYBZRrBzw0,5764 +networkx/linalg/__init__.py,sha256=7iyNZ_YYBnlsW8zSfhUgvEkywOrUWfpIuyS86ZOKlG8,568 +networkx/linalg/__pycache__/__init__.cpython-310.pyc,, +networkx/linalg/__pycache__/algebraicconnectivity.cpython-310.pyc,, +networkx/linalg/__pycache__/attrmatrix.cpython-310.pyc,, +networkx/linalg/__pycache__/bethehessianmatrix.cpython-310.pyc,, +networkx/linalg/__pycache__/graphmatrix.cpython-310.pyc,, +networkx/linalg/__pycache__/laplacianmatrix.cpython-310.pyc,, +networkx/linalg/__pycache__/modularitymatrix.cpython-310.pyc,, +networkx/linalg/__pycache__/spectrum.cpython-310.pyc,, +networkx/linalg/algebraicconnectivity.py,sha256=3nOW8g21_8B_J_cCj6UYMVqGUHEI_T3827LcyoSxJvI,21149 +networkx/linalg/attrmatrix.py,sha256=Mwiw5dvIvjDY7Bwlb4sy85KzfoP02EF64CfG_GvJsro,15509 +networkx/linalg/bethehessianmatrix.py,sha256=Ii4NX6mo90W3MppCRcYn9dRW_MsEkVdA9TH6x7JhX8o,2697 +networkx/linalg/graphmatrix.py,sha256=NIs2uWGS_8lJJ5IQ8Og9aIWHawghtlCDWifqOIKV2-c,5623 +networkx/linalg/laplacianmatrix.py,sha256=iRHHabmb9S4ChDPx3Yn2-WIEQFd_flFD3AZkA4k-oyY,20536 +networkx/linalg/modularitymatrix.py,sha256=R_VITtgIkGenxlsCLN4u6CYxj3_HiPXfeU29yarntRo,4706 +networkx/linalg/spectrum.py,sha256=aRY7ApYv5HxrO_4O8brxpZRw3SJU3fYzlgMwhEIXcrc,4215 +networkx/linalg/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/linalg/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/linalg/tests/__pycache__/test_algebraic_connectivity.cpython-310.pyc,, +networkx/linalg/tests/__pycache__/test_attrmatrix.cpython-310.pyc,, +networkx/linalg/tests/__pycache__/test_bethehessian.cpython-310.pyc,, +networkx/linalg/tests/__pycache__/test_graphmatrix.cpython-310.pyc,, +networkx/linalg/tests/__pycache__/test_laplacian.cpython-310.pyc,, +networkx/linalg/tests/__pycache__/test_modularity.cpython-310.pyc,, +networkx/linalg/tests/__pycache__/test_spectrum.cpython-310.pyc,, +networkx/linalg/tests/test_algebraic_connectivity.py,sha256=Kj2ct6gQ71xXFP7usAbFLJxD7ZdtTzneHiFJQOoVCUQ,13737 +networkx/linalg/tests/test_attrmatrix.py,sha256=XD3YuPc5yXKWbhwVSI8YiV_wABWM-rLtwf1uwwWlnI0,2833 +networkx/linalg/tests/test_bethehessian.py,sha256=0r-Do902ywV10TyqTlIJ2Ls3iMqM6sSs2PZbod7kWBM,1327 +networkx/linalg/tests/test_graphmatrix.py,sha256=e5YSH9ih1VL64nnYgZFDvLyKbP3BFqpp0jY6t-8b2eY,8708 +networkx/linalg/tests/test_laplacian.py,sha256=0AGJwezqohoQtrmTZ94Gvg5vISMCB7_G2QdJl7JFTXg,14081 +networkx/linalg/tests/test_modularity.py,sha256=mfKUvwc3bj6Rud1aG4oK3Eu1qg12o6cB8-pv5ZFicYY,3115 +networkx/linalg/tests/test_spectrum.py,sha256=agP2DsiEIvtkNUkT94mdPtJjwnobnjMTUOwjIQa4giA,2828 +networkx/readwrite/__init__.py,sha256=TvSbnGEHQ5F9CY2tkpjWYOyrUj6BeW3sc6P4_IczbKA,561 +networkx/readwrite/__pycache__/__init__.cpython-310.pyc,, +networkx/readwrite/__pycache__/adjlist.cpython-310.pyc,, +networkx/readwrite/__pycache__/edgelist.cpython-310.pyc,, +networkx/readwrite/__pycache__/gexf.cpython-310.pyc,, +networkx/readwrite/__pycache__/gml.cpython-310.pyc,, +networkx/readwrite/__pycache__/graph6.cpython-310.pyc,, +networkx/readwrite/__pycache__/graphml.cpython-310.pyc,, +networkx/readwrite/__pycache__/leda.cpython-310.pyc,, +networkx/readwrite/__pycache__/multiline_adjlist.cpython-310.pyc,, +networkx/readwrite/__pycache__/p2g.cpython-310.pyc,, +networkx/readwrite/__pycache__/pajek.cpython-310.pyc,, +networkx/readwrite/__pycache__/sparse6.cpython-310.pyc,, +networkx/readwrite/__pycache__/text.cpython-310.pyc,, +networkx/readwrite/adjlist.py,sha256=FjVdLlrWLi7mVuKHzO16AO6CVFqA6TCJu3GxLxSOXbU,8435 +networkx/readwrite/edgelist.py,sha256=pjnG_o3_usmgthIpscQRJWHZZ8b3-39Uqgj0OF9qE_g,14237 +networkx/readwrite/gexf.py,sha256=wq50Twz2o9XuoeR6awNYcftZDP-MRSztnsukmKiE3cQ,39693 +networkx/readwrite/gml.py,sha256=5TWaEGaQv33f8F5i5IciQp8YbK0MKNxb1E5GQcKC02M,31150 +networkx/readwrite/graph6.py,sha256=q1CmarzZ_jW_A15fU3YyKFl5OhtN-qWUrVcfc0ZTv6w,11401 +networkx/readwrite/graphml.py,sha256=12KKKXLDyMIif-KB4ZWdvMpgnuRqQ2EEqwY9TX3jkj8,39318 +networkx/readwrite/json_graph/__init__.py,sha256=37XJPMmilcwwo8KqouLWUly7Yv5tZ7IKraMHbBRx3fI,677 +networkx/readwrite/json_graph/__pycache__/__init__.cpython-310.pyc,, +networkx/readwrite/json_graph/__pycache__/adjacency.cpython-310.pyc,, +networkx/readwrite/json_graph/__pycache__/cytoscape.cpython-310.pyc,, +networkx/readwrite/json_graph/__pycache__/node_link.cpython-310.pyc,, +networkx/readwrite/json_graph/__pycache__/tree.cpython-310.pyc,, +networkx/readwrite/json_graph/adjacency.py,sha256=WM6fdncV87WDLPOfF-IbOlOOBMX0utUjJ09UsxtwRAo,4716 +networkx/readwrite/json_graph/cytoscape.py,sha256=kX6_p24F4CnDdT0D5lYrD0-jypyMdmqnGQEXKR1_kH4,5338 +networkx/readwrite/json_graph/node_link.py,sha256=QUre2tj2j6PXdwz6J3ExxyoLsfX-Vs5lDwjcYQjSDcM,10792 +networkx/readwrite/json_graph/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/readwrite/json_graph/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/readwrite/json_graph/tests/__pycache__/test_adjacency.cpython-310.pyc,, +networkx/readwrite/json_graph/tests/__pycache__/test_cytoscape.cpython-310.pyc,, +networkx/readwrite/json_graph/tests/__pycache__/test_node_link.cpython-310.pyc,, +networkx/readwrite/json_graph/tests/__pycache__/test_tree.cpython-310.pyc,, +networkx/readwrite/json_graph/tests/test_adjacency.py,sha256=jueQE3Z_W5BZuCjr0hEsOWSfoQ2fP51p0o0m7IcXUuE,2456 +networkx/readwrite/json_graph/tests/test_cytoscape.py,sha256=vFoDzcSRI9THlmp4Fu2HHhIF9AUmECWs5mftVWjaWWs,2044 +networkx/readwrite/json_graph/tests/test_node_link.py,sha256=q0mqy5fqZFxxHQb18tmFXUOOp_oTP1Ye5bEWzTnXEFo,6468 +networkx/readwrite/json_graph/tests/test_tree.py,sha256=zBXv3_db2XGxFs3XQ35btNf_ku52aLXXiHZmmX4ixAs,1352 +networkx/readwrite/json_graph/tree.py,sha256=K4rF4Kds4g0JhgcPTrrR_I3Pswpze8yCVH4M-WF9nn0,3851 +networkx/readwrite/leda.py,sha256=VjpyUYeAWPD4TQSyvcC-ftcTeg6Pow9zJJqNuiGZ0zU,2797 +networkx/readwrite/multiline_adjlist.py,sha256=_3SB2719ceBdJjYPkyAZUPuCebcHX_Zwk6mQDs4OcTQ,11301 +networkx/readwrite/p2g.py,sha256=0Mi8yvV0Hy6Bo4cbCKYjNp0_0ALYmNNCUMer4w1bkrY,3092 +networkx/readwrite/pajek.py,sha256=9j3sRjLzPQxqQFdEoTCOwICpdAf7G39cdls04dhErns,8738 +networkx/readwrite/sparse6.py,sha256=MFih4PCNJSY4UFuJxBNxYjBT9_11UpIbPQrySSiE9bg,10315 +networkx/readwrite/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/readwrite/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_adjlist.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_edgelist.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_gexf.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_gml.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_graph6.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_graphml.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_leda.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_p2g.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_pajek.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_sparse6.cpython-310.pyc,, +networkx/readwrite/tests/__pycache__/test_text.cpython-310.pyc,, +networkx/readwrite/tests/test_adjlist.py,sha256=t5RL85eDQFPUIdh8W4kozY_P7PMJU2LwSXjWZGE-4Aw,10134 +networkx/readwrite/tests/test_edgelist.py,sha256=cmOqVSpVO-FTdFRUAz40_e2sSmmB9xV6uYmfvw5cNhQ,10113 +networkx/readwrite/tests/test_gexf.py,sha256=Tbqueeh0XRQ8vtmGwXcyy9K3tWPlnLu6Gop0Hy4cZcc,19405 +networkx/readwrite/tests/test_gml.py,sha256=8_2nBU6n8zLHkApiuKkZNH-xMRSdA1G8ZH3Lvjspizg,21391 +networkx/readwrite/tests/test_graph6.py,sha256=DAi58D_G3j2UGk6VpfGkLGzfSAl318TIbuXSKKZ102U,6067 +networkx/readwrite/tests/test_graphml.py,sha256=MrU3AkdqNQ6gVLtOQrZUx39pV7PjS_ETu5uuT5Ce6BI,67573 +networkx/readwrite/tests/test_leda.py,sha256=_5F4nLLQ1oAZQMZtTQoFncZL0Oc-IsztFBglEdQeH3k,1392 +networkx/readwrite/tests/test_p2g.py,sha256=drsdod5amV9TGCk-qE2RwsvAop78IKEI1WguVFfd9rs,1320 +networkx/readwrite/tests/test_pajek.py,sha256=-bT-y26OmWgpLcvk-qvVfOEa-DTcQPwV2qKB99roOrk,4629 +networkx/readwrite/tests/test_sparse6.py,sha256=cqFHWz4G_kMawaRqceofN4K-JlkmPx3BEaDXkU8DD0o,5284 +networkx/readwrite/tests/test_text.py,sha256=x1N97hD31HPkj9Wn2PYti5-gcwaFNnStkaN_38HKnIg,55319 +networkx/readwrite/text.py,sha256=9u43d_m2xcoJKl5rKQ-3N0kIdr3m4xzX2i1y05xDDbM,29163 +networkx/relabel.py,sha256=0HptAQOBToKhLZzxscd6FQpzVCNMlYmiHjHul69ct8o,10300 +networkx/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/tests/__pycache__/test_all_random_functions.cpython-310.pyc,, +networkx/tests/__pycache__/test_convert.cpython-310.pyc,, +networkx/tests/__pycache__/test_convert_numpy.cpython-310.pyc,, +networkx/tests/__pycache__/test_convert_pandas.cpython-310.pyc,, +networkx/tests/__pycache__/test_convert_scipy.cpython-310.pyc,, +networkx/tests/__pycache__/test_exceptions.cpython-310.pyc,, +networkx/tests/__pycache__/test_import.cpython-310.pyc,, +networkx/tests/__pycache__/test_lazy_imports.cpython-310.pyc,, +networkx/tests/__pycache__/test_relabel.cpython-310.pyc,, +networkx/tests/test_all_random_functions.py,sha256=VWBH5Uov3DswxuRDzlMPuDlcryPyWVaCvt2_OMw-dIQ,8673 +networkx/tests/test_convert.py,sha256=SoIVrqJFF9Gu9Jff_apfbpqg8QhkfC6QW4qzoSM-ukM,12731 +networkx/tests/test_convert_numpy.py,sha256=jw-iEj7wVAVXd5rlOxTBMHQD63m90q5RBQxv1ee9dNw,19065 +networkx/tests/test_convert_pandas.py,sha256=2LrQrGkxdlvEZxKmMvyptUvOsTsAcbo8u6siSVbnV3M,13346 +networkx/tests/test_convert_scipy.py,sha256=C2cY_8dgBksO0uttkhyCnjACXtC6KHjxqHUk47P5wH8,10436 +networkx/tests/test_exceptions.py,sha256=XYkpPzqMepSw3MPRUJN5LcFsUsy3YT_fiRDhm0OeAeQ,927 +networkx/tests/test_import.py,sha256=Gm4ujfH9JkQtDrSjOlwXXXUuubI057wskKLCkF6Z92k,220 +networkx/tests/test_lazy_imports.py,sha256=nKykNQPt_ZV8JxCH_EkwwcPNayAgZGQVf89e8I7uIlI,2680 +networkx/tests/test_relabel.py,sha256=dffbjiW_VUAQe7iD8knFS_KepUITt0F6xuwf7daWwKw,14517 +networkx/utils/__init__.py,sha256=7pxleRNpBWuL3FEQz3CzKLn17b6_eSwkM7dqnL1okDk,302 +networkx/utils/__pycache__/__init__.cpython-310.pyc,, +networkx/utils/__pycache__/backends.cpython-310.pyc,, +networkx/utils/__pycache__/configs.cpython-310.pyc,, +networkx/utils/__pycache__/decorators.cpython-310.pyc,, +networkx/utils/__pycache__/heaps.cpython-310.pyc,, +networkx/utils/__pycache__/mapped_queue.cpython-310.pyc,, +networkx/utils/__pycache__/misc.cpython-310.pyc,, +networkx/utils/__pycache__/random_sequence.cpython-310.pyc,, +networkx/utils/__pycache__/rcm.cpython-310.pyc,, +networkx/utils/__pycache__/union_find.cpython-310.pyc,, +networkx/utils/backends.py,sha256=pXioKWl33QJEcL9_FDufk2xv12_8bpgYniJYouJEq4M,113169 +networkx/utils/configs.py,sha256=v3p9eXPPllCcMqX33VhVQUVeXOm7eAn9xdASDEqMmP8,15023 +networkx/utils/decorators.py,sha256=aj07nVz7CW1TaYMBpSiHdRuw_U3_o0XdGoRyLMrJeXg,44836 +networkx/utils/heaps.py,sha256=HUZuETHfELEqiXdMBPmD9fA2KiACVhp6iEahcrjFxYM,10391 +networkx/utils/mapped_queue.py,sha256=WdIRk27D_ArmPs9tdpvQLQCV4Tmus212BQhxsFIMYgk,10184 +networkx/utils/misc.py,sha256=BN_VscZjoishxgbjwxm1PVG_J_jHqpuMd9bffwK6Q5M,21293 +networkx/utils/random_sequence.py,sha256=KzKh0BRMri0MBZlzxHNMl3qRTy2DnBexW3eDzmxKab4,4237 +networkx/utils/rcm.py,sha256=9tpXSK-wwLXFcq3ypXilYNAaJAKrmMiMwp4R78OLvuI,4624 +networkx/utils/tests/__init__.py,sha256=47DEQpj8HBSa-_TImW-5JCeuQeRkm5NMpJWZG3hSuFU,0 +networkx/utils/tests/__pycache__/__init__.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test__init.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_backends.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_config.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_decorators.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_heaps.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_mapped_queue.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_misc.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_random_sequence.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_rcm.cpython-310.pyc,, +networkx/utils/tests/__pycache__/test_unionfind.cpython-310.pyc,, +networkx/utils/tests/test__init.py,sha256=QE0i-lNE4pG2eYjB2mZ0uw7jPD-7TdL7Y9p73JoWQmo,363 +networkx/utils/tests/test_backends.py,sha256=5fwka8bdEBtvPhjN49dMcgKsUBIVHEmMag6uckBAAd8,6108 +networkx/utils/tests/test_config.py,sha256=nImFv-UMS3uo9DFgYejSCNRm2mOUVHldKFFAY4t_2mQ,7414 +networkx/utils/tests/test_decorators.py,sha256=dm3b5yiQPlnlT_4pSm0FwK-xBGV9dcnhv14Vh9Jiz1o,14050 +networkx/utils/tests/test_heaps.py,sha256=qCuWMzpcMH1Gwu014CAams78o151QD5YL0mB1fz16Yw,3711 +networkx/utils/tests/test_mapped_queue.py,sha256=l1Nguzz68Fv91FnAT7y7B0GXSoje9uoWiObHo7TliGM,7354 +networkx/utils/tests/test_misc.py,sha256=zkD1pYO4xBuBxlGe-nU8okcX6hfDMgu0OJZGu4TMrN0,8671 +networkx/utils/tests/test_random_sequence.py,sha256=Ou-IeCFybibZuycoin5gUQzzC-iy5yanZFmrqvdGt6Q,925 +networkx/utils/tests/test_rcm.py,sha256=UvUAkgmQMGk_Nn94TJyQsle4A5SLQFqMQWld1tiQ2lk,1421 +networkx/utils/tests/test_unionfind.py,sha256=j-DF5XyeJzq1hoeAgN5Nye2Au7EPD040t8oS4Aw2IwU,1579 +networkx/utils/union_find.py,sha256=NxKlBlyS71A1Wlnt28L-wyZoI9ExZvJth_0e2XSVris,3338 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/WHEEL b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/WHEEL new file mode 100644 index 0000000000000000000000000000000000000000..da25d7b42315fc321e466d6e69705ea21bcff507 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/WHEEL @@ -0,0 +1,5 @@ +Wheel-Version: 1.0 +Generator: setuptools (75.2.0) +Root-Is-Purelib: true +Tag: py3-none-any + diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/entry_points.txt b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/entry_points.txt new file mode 100644 index 0000000000000000000000000000000000000000..377282a2e4c3dc8b924035d0dfd32d7ae50920c8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/entry_points.txt @@ -0,0 +1,2 @@ +[networkx.backends] +nx_loopback = networkx.classes.tests.dispatch_interface:backend_interface diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/top_level.txt b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/top_level.txt new file mode 100644 index 0000000000000000000000000000000000000000..4d07dfe2f85d6849d7f416dcce756b2501ba847e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx-3.4.2.dist-info/top_level.txt @@ -0,0 +1 @@ +networkx diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_all.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_all.py new file mode 100644 index 0000000000000000000000000000000000000000..8ec29c150306080d536c1b1dc785209d4a113f6d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_all.py @@ -0,0 +1,328 @@ +import pytest + +import networkx as nx +from networkx.utils import edges_equal + + +def test_union_all_attributes(): + g = nx.Graph() + g.add_node(0, x=4) + g.add_node(1, x=5) + g.add_edge(0, 1, size=5) + g.graph["name"] = "g" + + h = g.copy() + h.graph["name"] = "h" + h.graph["attr"] = "attr" + h.nodes[0]["x"] = 7 + + j = g.copy() + j.graph["name"] = "j" + j.graph["attr"] = "attr" + j.nodes[0]["x"] = 7 + + ghj = nx.union_all([g, h, j], rename=("g", "h", "j")) + assert set(ghj.nodes()) == {"h0", "h1", "g0", "g1", "j0", "j1"} + for n in ghj: + graph, node = n + assert ghj.nodes[n] == eval(graph).nodes[int(node)] + + assert ghj.graph["attr"] == "attr" + assert ghj.graph["name"] == "j" # j graph attributes take precedent + + +def test_intersection_all(): + G = nx.Graph() + H = nx.Graph() + R = nx.Graph(awesome=True) + G.add_nodes_from([1, 2, 3, 4]) + G.add_edge(1, 2) + G.add_edge(2, 3) + H.add_nodes_from([1, 2, 3, 4]) + H.add_edge(2, 3) + H.add_edge(3, 4) + R.add_nodes_from([1, 2, 3, 4]) + R.add_edge(2, 3) + R.add_edge(4, 1) + I = nx.intersection_all([G, H, R]) + assert set(I.nodes()) == {1, 2, 3, 4} + assert sorted(I.edges()) == [(2, 3)] + assert I.graph == {} + + +def test_intersection_all_different_node_sets(): + G = nx.Graph() + H = nx.Graph() + R = nx.Graph() + G.add_nodes_from([1, 2, 3, 4, 6, 7]) + G.add_edge(1, 2) + G.add_edge(2, 3) + G.add_edge(6, 7) + H.add_nodes_from([1, 2, 3, 4]) + H.add_edge(2, 3) + H.add_edge(3, 4) + R.add_nodes_from([1, 2, 3, 4, 8, 9]) + R.add_edge(2, 3) + R.add_edge(4, 1) + R.add_edge(8, 9) + I = nx.intersection_all([G, H, R]) + assert set(I.nodes()) == {1, 2, 3, 4} + assert sorted(I.edges()) == [(2, 3)] + + +def test_intersection_all_attributes(): + g = nx.Graph() + g.add_node(0, x=4) + g.add_node(1, x=5) + g.add_edge(0, 1, size=5) + g.graph["name"] = "g" + + h = g.copy() + h.graph["name"] = "h" + h.graph["attr"] = "attr" + h.nodes[0]["x"] = 7 + + gh = nx.intersection_all([g, h]) + assert set(gh.nodes()) == set(g.nodes()) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == sorted(g.edges()) + + +def test_intersection_all_attributes_different_node_sets(): + g = nx.Graph() + g.add_node(0, x=4) + g.add_node(1, x=5) + g.add_edge(0, 1, size=5) + g.graph["name"] = "g" + + h = g.copy() + g.add_node(2) + h.graph["name"] = "h" + h.graph["attr"] = "attr" + h.nodes[0]["x"] = 7 + + gh = nx.intersection_all([g, h]) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == sorted(g.edges()) + + +def test_intersection_all_multigraph_attributes(): + g = nx.MultiGraph() + g.add_edge(0, 1, key=0) + g.add_edge(0, 1, key=1) + g.add_edge(0, 1, key=2) + h = nx.MultiGraph() + h.add_edge(0, 1, key=0) + h.add_edge(0, 1, key=3) + gh = nx.intersection_all([g, h]) + assert set(gh.nodes()) == set(g.nodes()) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == [(0, 1)] + assert sorted(gh.edges(keys=True)) == [(0, 1, 0)] + + +def test_intersection_all_multigraph_attributes_different_node_sets(): + g = nx.MultiGraph() + g.add_edge(0, 1, key=0) + g.add_edge(0, 1, key=1) + g.add_edge(0, 1, key=2) + g.add_edge(1, 2, key=1) + g.add_edge(1, 2, key=2) + h = nx.MultiGraph() + h.add_edge(0, 1, key=0) + h.add_edge(0, 1, key=2) + h.add_edge(0, 1, key=3) + gh = nx.intersection_all([g, h]) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == [(0, 1), (0, 1)] + assert sorted(gh.edges(keys=True)) == [(0, 1, 0), (0, 1, 2)] + + +def test_intersection_all_digraph(): + g = nx.DiGraph() + g.add_edges_from([(1, 2), (2, 3)]) + h = nx.DiGraph() + h.add_edges_from([(2, 1), (2, 3)]) + gh = nx.intersection_all([g, h]) + assert sorted(gh.edges()) == [(2, 3)] + + +def test_union_all_and_compose_all(): + K3 = nx.complete_graph(3) + P3 = nx.path_graph(3) + + G1 = nx.DiGraph() + G1.add_edge("A", "B") + G1.add_edge("A", "C") + G1.add_edge("A", "D") + G2 = nx.DiGraph() + G2.add_edge("1", "2") + G2.add_edge("1", "3") + G2.add_edge("1", "4") + + G = nx.union_all([G1, G2]) + H = nx.compose_all([G1, G2]) + assert edges_equal(G.edges(), H.edges()) + assert not G.has_edge("A", "1") + pytest.raises(nx.NetworkXError, nx.union, K3, P3) + H1 = nx.union_all([H, G1], rename=("H", "G1")) + assert sorted(H1.nodes()) == [ + "G1A", + "G1B", + "G1C", + "G1D", + "H1", + "H2", + "H3", + "H4", + "HA", + "HB", + "HC", + "HD", + ] + + H2 = nx.union_all([H, G2], rename=("H", "")) + assert sorted(H2.nodes()) == [ + "1", + "2", + "3", + "4", + "H1", + "H2", + "H3", + "H4", + "HA", + "HB", + "HC", + "HD", + ] + + assert not H1.has_edge("NB", "NA") + + G = nx.compose_all([G, G]) + assert edges_equal(G.edges(), H.edges()) + + G2 = nx.union_all([G2, G2], rename=("", "copy")) + assert sorted(G2.nodes()) == [ + "1", + "2", + "3", + "4", + "copy1", + "copy2", + "copy3", + "copy4", + ] + + assert sorted(G2.neighbors("copy4")) == [] + assert sorted(G2.neighbors("copy1")) == ["copy2", "copy3", "copy4"] + assert len(G) == 8 + assert nx.number_of_edges(G) == 6 + + E = nx.disjoint_union_all([G, G]) + assert len(E) == 16 + assert nx.number_of_edges(E) == 12 + + E = nx.disjoint_union_all([G1, G2]) + assert sorted(E.nodes()) == [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11] + + G1 = nx.DiGraph() + G1.add_edge("A", "B") + G2 = nx.DiGraph() + G2.add_edge(1, 2) + G3 = nx.DiGraph() + G3.add_edge(11, 22) + G4 = nx.union_all([G1, G2, G3], rename=("G1", "G2", "G3")) + assert sorted(G4.nodes()) == ["G1A", "G1B", "G21", "G22", "G311", "G322"] + + +def test_union_all_multigraph(): + G = nx.MultiGraph() + G.add_edge(1, 2, key=0) + G.add_edge(1, 2, key=1) + H = nx.MultiGraph() + H.add_edge(3, 4, key=0) + H.add_edge(3, 4, key=1) + GH = nx.union_all([G, H]) + assert set(GH) == set(G) | set(H) + assert set(GH.edges(keys=True)) == set(G.edges(keys=True)) | set(H.edges(keys=True)) + + +def test_input_output(): + l = [nx.Graph([(1, 2)]), nx.Graph([(3, 4)], awesome=True)] + U = nx.disjoint_union_all(l) + assert len(l) == 2 + assert U.graph["awesome"] + C = nx.compose_all(l) + assert len(l) == 2 + l = [nx.Graph([(1, 2)]), nx.Graph([(1, 2)])] + R = nx.intersection_all(l) + assert len(l) == 2 + + +def test_mixed_type_union(): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + H = nx.MultiGraph() + I = nx.Graph() + U = nx.union_all([G, H, I]) + with pytest.raises(nx.NetworkXError): + X = nx.Graph() + Y = nx.DiGraph() + XY = nx.union_all([X, Y]) + + +def test_mixed_type_disjoint_union(): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + H = nx.MultiGraph() + I = nx.Graph() + U = nx.disjoint_union_all([G, H, I]) + with pytest.raises(nx.NetworkXError): + X = nx.Graph() + Y = nx.DiGraph() + XY = nx.disjoint_union_all([X, Y]) + + +def test_mixed_type_intersection(): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + H = nx.MultiGraph() + I = nx.Graph() + U = nx.intersection_all([G, H, I]) + with pytest.raises(nx.NetworkXError): + X = nx.Graph() + Y = nx.DiGraph() + XY = nx.intersection_all([X, Y]) + + +def test_mixed_type_compose(): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + H = nx.MultiGraph() + I = nx.Graph() + U = nx.compose_all([G, H, I]) + with pytest.raises(nx.NetworkXError): + X = nx.Graph() + Y = nx.DiGraph() + XY = nx.compose_all([X, Y]) + + +def test_empty_union(): + with pytest.raises(ValueError): + nx.union_all([]) + + +def test_empty_disjoint_union(): + with pytest.raises(ValueError): + nx.disjoint_union_all([]) + + +def test_empty_compose_all(): + with pytest.raises(ValueError): + nx.compose_all([]) + + +def test_empty_intersection_all(): + with pytest.raises(ValueError): + nx.intersection_all([]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_binary.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_binary.py new file mode 100644 index 0000000000000000000000000000000000000000..c907cd6f05167f4eadb0f51e238a1283ad677697 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_binary.py @@ -0,0 +1,453 @@ +import os + +import pytest + +import networkx as nx +from networkx.utils import edges_equal + + +def test_union_attributes(): + g = nx.Graph() + g.add_node(0, x=4) + g.add_node(1, x=5) + g.add_edge(0, 1, size=5) + g.graph["name"] = "g" + + h = g.copy() + h.graph["name"] = "h" + h.graph["attr"] = "attr" + h.nodes[0]["x"] = 7 + + gh = nx.union(g, h, rename=("g", "h")) + assert set(gh.nodes()) == {"h0", "h1", "g0", "g1"} + for n in gh: + graph, node = n + assert gh.nodes[n] == eval(graph).nodes[int(node)] + + assert gh.graph["attr"] == "attr" + assert gh.graph["name"] == "h" # h graph attributes take precedent + + +def test_intersection(): + G = nx.Graph() + H = nx.Graph() + G.add_nodes_from([1, 2, 3, 4]) + G.add_edge(1, 2) + G.add_edge(2, 3) + H.add_nodes_from([1, 2, 3, 4]) + H.add_edge(2, 3) + H.add_edge(3, 4) + I = nx.intersection(G, H) + assert set(I.nodes()) == {1, 2, 3, 4} + assert sorted(I.edges()) == [(2, 3)] + + +def test_intersection_node_sets_different(): + G = nx.Graph() + H = nx.Graph() + G.add_nodes_from([1, 2, 3, 4, 7]) + G.add_edge(1, 2) + G.add_edge(2, 3) + H.add_nodes_from([1, 2, 3, 4, 5, 6]) + H.add_edge(2, 3) + H.add_edge(3, 4) + H.add_edge(5, 6) + I = nx.intersection(G, H) + assert set(I.nodes()) == {1, 2, 3, 4} + assert sorted(I.edges()) == [(2, 3)] + + +def test_intersection_attributes(): + g = nx.Graph() + g.add_node(0, x=4) + g.add_node(1, x=5) + g.add_edge(0, 1, size=5) + g.graph["name"] = "g" + + h = g.copy() + h.graph["name"] = "h" + h.graph["attr"] = "attr" + h.nodes[0]["x"] = 7 + gh = nx.intersection(g, h) + + assert set(gh.nodes()) == set(g.nodes()) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == sorted(g.edges()) + + +def test_intersection_attributes_node_sets_different(): + g = nx.Graph() + g.add_node(0, x=4) + g.add_node(1, x=5) + g.add_node(2, x=3) + g.add_edge(0, 1, size=5) + g.graph["name"] = "g" + + h = g.copy() + h.graph["name"] = "h" + h.graph["attr"] = "attr" + h.nodes[0]["x"] = 7 + h.remove_node(2) + + gh = nx.intersection(g, h) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == sorted(g.edges()) + + +def test_intersection_multigraph_attributes(): + g = nx.MultiGraph() + g.add_edge(0, 1, key=0) + g.add_edge(0, 1, key=1) + g.add_edge(0, 1, key=2) + h = nx.MultiGraph() + h.add_edge(0, 1, key=0) + h.add_edge(0, 1, key=3) + gh = nx.intersection(g, h) + assert set(gh.nodes()) == set(g.nodes()) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == [(0, 1)] + assert sorted(gh.edges(keys=True)) == [(0, 1, 0)] + + +def test_intersection_multigraph_attributes_node_set_different(): + g = nx.MultiGraph() + g.add_edge(0, 1, key=0) + g.add_edge(0, 1, key=1) + g.add_edge(0, 1, key=2) + g.add_edge(0, 2, key=2) + g.add_edge(0, 2, key=1) + h = nx.MultiGraph() + h.add_edge(0, 1, key=0) + h.add_edge(0, 1, key=3) + gh = nx.intersection(g, h) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == [(0, 1)] + assert sorted(gh.edges(keys=True)) == [(0, 1, 0)] + + +def test_difference(): + G = nx.Graph() + H = nx.Graph() + G.add_nodes_from([1, 2, 3, 4]) + G.add_edge(1, 2) + G.add_edge(2, 3) + H.add_nodes_from([1, 2, 3, 4]) + H.add_edge(2, 3) + H.add_edge(3, 4) + D = nx.difference(G, H) + assert set(D.nodes()) == {1, 2, 3, 4} + assert sorted(D.edges()) == [(1, 2)] + D = nx.difference(H, G) + assert set(D.nodes()) == {1, 2, 3, 4} + assert sorted(D.edges()) == [(3, 4)] + D = nx.symmetric_difference(G, H) + assert set(D.nodes()) == {1, 2, 3, 4} + assert sorted(D.edges()) == [(1, 2), (3, 4)] + + +def test_difference2(): + G = nx.Graph() + H = nx.Graph() + G.add_nodes_from([1, 2, 3, 4]) + H.add_nodes_from([1, 2, 3, 4]) + G.add_edge(1, 2) + H.add_edge(1, 2) + G.add_edge(2, 3) + D = nx.difference(G, H) + assert set(D.nodes()) == {1, 2, 3, 4} + assert sorted(D.edges()) == [(2, 3)] + D = nx.difference(H, G) + assert set(D.nodes()) == {1, 2, 3, 4} + assert sorted(D.edges()) == [] + H.add_edge(3, 4) + D = nx.difference(H, G) + assert set(D.nodes()) == {1, 2, 3, 4} + assert sorted(D.edges()) == [(3, 4)] + + +def test_difference_attributes(): + g = nx.Graph() + g.add_node(0, x=4) + g.add_node(1, x=5) + g.add_edge(0, 1, size=5) + g.graph["name"] = "g" + + h = g.copy() + h.graph["name"] = "h" + h.graph["attr"] = "attr" + h.nodes[0]["x"] = 7 + + gh = nx.difference(g, h) + assert set(gh.nodes()) == set(g.nodes()) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == [] + # node and graph data should not be copied over + assert gh.nodes.data() != g.nodes.data() + assert gh.graph != g.graph + + +def test_difference_multigraph_attributes(): + g = nx.MultiGraph() + g.add_edge(0, 1, key=0) + g.add_edge(0, 1, key=1) + g.add_edge(0, 1, key=2) + h = nx.MultiGraph() + h.add_edge(0, 1, key=0) + h.add_edge(0, 1, key=3) + gh = nx.difference(g, h) + assert set(gh.nodes()) == set(g.nodes()) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == [(0, 1), (0, 1)] + assert sorted(gh.edges(keys=True)) == [(0, 1, 1), (0, 1, 2)] + + +def test_difference_raise(): + G = nx.path_graph(4) + H = nx.path_graph(3) + pytest.raises(nx.NetworkXError, nx.difference, G, H) + pytest.raises(nx.NetworkXError, nx.symmetric_difference, G, H) + + +def test_symmetric_difference_multigraph(): + g = nx.MultiGraph() + g.add_edge(0, 1, key=0) + g.add_edge(0, 1, key=1) + g.add_edge(0, 1, key=2) + h = nx.MultiGraph() + h.add_edge(0, 1, key=0) + h.add_edge(0, 1, key=3) + gh = nx.symmetric_difference(g, h) + assert set(gh.nodes()) == set(g.nodes()) + assert set(gh.nodes()) == set(h.nodes()) + assert sorted(gh.edges()) == 3 * [(0, 1)] + assert sorted(sorted(e) for e in gh.edges(keys=True)) == [ + [0, 1, 1], + [0, 1, 2], + [0, 1, 3], + ] + + +def test_union_and_compose(): + K3 = nx.complete_graph(3) + P3 = nx.path_graph(3) + + G1 = nx.DiGraph() + G1.add_edge("A", "B") + G1.add_edge("A", "C") + G1.add_edge("A", "D") + G2 = nx.DiGraph() + G2.add_edge("1", "2") + G2.add_edge("1", "3") + G2.add_edge("1", "4") + + G = nx.union(G1, G2) + H = nx.compose(G1, G2) + assert edges_equal(G.edges(), H.edges()) + assert not G.has_edge("A", 1) + pytest.raises(nx.NetworkXError, nx.union, K3, P3) + H1 = nx.union(H, G1, rename=("H", "G1")) + assert sorted(H1.nodes()) == [ + "G1A", + "G1B", + "G1C", + "G1D", + "H1", + "H2", + "H3", + "H4", + "HA", + "HB", + "HC", + "HD", + ] + + H2 = nx.union(H, G2, rename=("H", "")) + assert sorted(H2.nodes()) == [ + "1", + "2", + "3", + "4", + "H1", + "H2", + "H3", + "H4", + "HA", + "HB", + "HC", + "HD", + ] + + assert not H1.has_edge("NB", "NA") + + G = nx.compose(G, G) + assert edges_equal(G.edges(), H.edges()) + + G2 = nx.union(G2, G2, rename=("", "copy")) + assert sorted(G2.nodes()) == [ + "1", + "2", + "3", + "4", + "copy1", + "copy2", + "copy3", + "copy4", + ] + + assert sorted(G2.neighbors("copy4")) == [] + assert sorted(G2.neighbors("copy1")) == ["copy2", "copy3", "copy4"] + assert len(G) == 8 + assert nx.number_of_edges(G) == 6 + + E = nx.disjoint_union(G, G) + assert len(E) == 16 + assert nx.number_of_edges(E) == 12 + + E = nx.disjoint_union(G1, G2) + assert sorted(E.nodes()) == [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11] + + G = nx.Graph() + H = nx.Graph() + G.add_nodes_from([(1, {"a1": 1})]) + H.add_nodes_from([(1, {"b1": 1})]) + R = nx.compose(G, H) + assert R.nodes == {1: {"a1": 1, "b1": 1}} + + +def test_union_multigraph(): + G = nx.MultiGraph() + G.add_edge(1, 2, key=0) + G.add_edge(1, 2, key=1) + H = nx.MultiGraph() + H.add_edge(3, 4, key=0) + H.add_edge(3, 4, key=1) + GH = nx.union(G, H) + assert set(GH) == set(G) | set(H) + assert set(GH.edges(keys=True)) == set(G.edges(keys=True)) | set(H.edges(keys=True)) + + +def test_disjoint_union_multigraph(): + G = nx.MultiGraph() + G.add_edge(0, 1, key=0) + G.add_edge(0, 1, key=1) + H = nx.MultiGraph() + H.add_edge(2, 3, key=0) + H.add_edge(2, 3, key=1) + GH = nx.disjoint_union(G, H) + assert set(GH) == set(G) | set(H) + assert set(GH.edges(keys=True)) == set(G.edges(keys=True)) | set(H.edges(keys=True)) + + +def test_compose_multigraph(): + G = nx.MultiGraph() + G.add_edge(1, 2, key=0) + G.add_edge(1, 2, key=1) + H = nx.MultiGraph() + H.add_edge(3, 4, key=0) + H.add_edge(3, 4, key=1) + GH = nx.compose(G, H) + assert set(GH) == set(G) | set(H) + assert set(GH.edges(keys=True)) == set(G.edges(keys=True)) | set(H.edges(keys=True)) + H.add_edge(1, 2, key=2) + GH = nx.compose(G, H) + assert set(GH) == set(G) | set(H) + assert set(GH.edges(keys=True)) == set(G.edges(keys=True)) | set(H.edges(keys=True)) + + +def test_full_join_graph(): + # Simple Graphs + G = nx.Graph() + G.add_node(0) + G.add_edge(1, 2) + H = nx.Graph() + H.add_edge(3, 4) + + U = nx.full_join(G, H) + assert set(U) == set(G) | set(H) + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) + + # Rename + U = nx.full_join(G, H, rename=("g", "h")) + assert set(U) == {"g0", "g1", "g2", "h3", "h4"} + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) + + # Rename graphs with string-like nodes + G = nx.Graph() + G.add_node("a") + G.add_edge("b", "c") + H = nx.Graph() + H.add_edge("d", "e") + + U = nx.full_join(G, H, rename=("g", "h")) + assert set(U) == {"ga", "gb", "gc", "hd", "he"} + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) + + # DiGraphs + G = nx.DiGraph() + G.add_node(0) + G.add_edge(1, 2) + H = nx.DiGraph() + H.add_edge(3, 4) + + U = nx.full_join(G, H) + assert set(U) == set(G) | set(H) + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) * 2 + + # DiGraphs Rename + U = nx.full_join(G, H, rename=("g", "h")) + assert set(U) == {"g0", "g1", "g2", "h3", "h4"} + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) * 2 + + +def test_full_join_multigraph(): + # MultiGraphs + G = nx.MultiGraph() + G.add_node(0) + G.add_edge(1, 2) + H = nx.MultiGraph() + H.add_edge(3, 4) + + U = nx.full_join(G, H) + assert set(U) == set(G) | set(H) + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) + + # MultiGraphs rename + U = nx.full_join(G, H, rename=("g", "h")) + assert set(U) == {"g0", "g1", "g2", "h3", "h4"} + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) + + # MultiDiGraphs + G = nx.MultiDiGraph() + G.add_node(0) + G.add_edge(1, 2) + H = nx.MultiDiGraph() + H.add_edge(3, 4) + + U = nx.full_join(G, H) + assert set(U) == set(G) | set(H) + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) * 2 + + # MultiDiGraphs rename + U = nx.full_join(G, H, rename=("g", "h")) + assert set(U) == {"g0", "g1", "g2", "h3", "h4"} + assert len(U) == len(G) + len(H) + assert len(U.edges()) == len(G.edges()) + len(H.edges()) + len(G) * len(H) * 2 + + +def test_mixed_type_union(): + G = nx.Graph() + H = nx.MultiGraph() + pytest.raises(nx.NetworkXError, nx.union, G, H) + pytest.raises(nx.NetworkXError, nx.disjoint_union, G, H) + pytest.raises(nx.NetworkXError, nx.intersection, G, H) + pytest.raises(nx.NetworkXError, nx.difference, G, H) + pytest.raises(nx.NetworkXError, nx.symmetric_difference, G, H) + pytest.raises(nx.NetworkXError, nx.compose, G, H) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_product.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_product.py new file mode 100644 index 0000000000000000000000000000000000000000..8ee54b93012c79531f2732da282072754da82046 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_product.py @@ -0,0 +1,491 @@ +import pytest + +import networkx as nx +from networkx.utils import edges_equal + + +def test_tensor_product_raises(): + with pytest.raises(nx.NetworkXError): + P = nx.tensor_product(nx.DiGraph(), nx.Graph()) + + +def test_tensor_product_null(): + null = nx.null_graph() + empty10 = nx.empty_graph(10) + K3 = nx.complete_graph(3) + K10 = nx.complete_graph(10) + P3 = nx.path_graph(3) + P10 = nx.path_graph(10) + # null graph + G = nx.tensor_product(null, null) + assert nx.is_isomorphic(G, null) + # null_graph X anything = null_graph and v.v. + G = nx.tensor_product(null, empty10) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(null, K3) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(null, K10) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(null, P3) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(null, P10) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(empty10, null) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(K3, null) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(K10, null) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(P3, null) + assert nx.is_isomorphic(G, null) + G = nx.tensor_product(P10, null) + assert nx.is_isomorphic(G, null) + + +def test_tensor_product_size(): + P5 = nx.path_graph(5) + K3 = nx.complete_graph(3) + K5 = nx.complete_graph(5) + + G = nx.tensor_product(P5, K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.tensor_product(K3, K5) + assert nx.number_of_nodes(G) == 3 * 5 + + +def test_tensor_product_combinations(): + # basic smoke test, more realistic tests would be useful + P5 = nx.path_graph(5) + K3 = nx.complete_graph(3) + G = nx.tensor_product(P5, K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.tensor_product(P5, nx.MultiGraph(K3)) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.tensor_product(nx.MultiGraph(P5), K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.tensor_product(nx.MultiGraph(P5), nx.MultiGraph(K3)) + assert nx.number_of_nodes(G) == 5 * 3 + + G = nx.tensor_product(nx.DiGraph(P5), nx.DiGraph(K3)) + assert nx.number_of_nodes(G) == 5 * 3 + + +def test_tensor_product_classic_result(): + K2 = nx.complete_graph(2) + G = nx.petersen_graph() + G = nx.tensor_product(G, K2) + assert nx.is_isomorphic(G, nx.desargues_graph()) + + G = nx.cycle_graph(5) + G = nx.tensor_product(G, K2) + assert nx.is_isomorphic(G, nx.cycle_graph(10)) + + G = nx.tetrahedral_graph() + G = nx.tensor_product(G, K2) + assert nx.is_isomorphic(G, nx.cubical_graph()) + + +def test_tensor_product_random(): + G = nx.erdos_renyi_graph(10, 2 / 10.0) + H = nx.erdos_renyi_graph(10, 2 / 10.0) + GH = nx.tensor_product(G, H) + + for u_G, u_H in GH.nodes(): + for v_G, v_H in GH.nodes(): + if H.has_edge(u_H, v_H) and G.has_edge(u_G, v_G): + assert GH.has_edge((u_G, u_H), (v_G, v_H)) + else: + assert not GH.has_edge((u_G, u_H), (v_G, v_H)) + + +def test_cartesian_product_multigraph(): + G = nx.MultiGraph() + G.add_edge(1, 2, key=0) + G.add_edge(1, 2, key=1) + H = nx.MultiGraph() + H.add_edge(3, 4, key=0) + H.add_edge(3, 4, key=1) + GH = nx.cartesian_product(G, H) + assert set(GH) == {(1, 3), (2, 3), (2, 4), (1, 4)} + assert {(frozenset([u, v]), k) for u, v, k in GH.edges(keys=True)} == { + (frozenset([u, v]), k) + for u, v, k in [ + ((1, 3), (2, 3), 0), + ((1, 3), (2, 3), 1), + ((1, 3), (1, 4), 0), + ((1, 3), (1, 4), 1), + ((2, 3), (2, 4), 0), + ((2, 3), (2, 4), 1), + ((2, 4), (1, 4), 0), + ((2, 4), (1, 4), 1), + ] + } + + +def test_cartesian_product_raises(): + with pytest.raises(nx.NetworkXError): + P = nx.cartesian_product(nx.DiGraph(), nx.Graph()) + + +def test_cartesian_product_null(): + null = nx.null_graph() + empty10 = nx.empty_graph(10) + K3 = nx.complete_graph(3) + K10 = nx.complete_graph(10) + P3 = nx.path_graph(3) + P10 = nx.path_graph(10) + # null graph + G = nx.cartesian_product(null, null) + assert nx.is_isomorphic(G, null) + # null_graph X anything = null_graph and v.v. + G = nx.cartesian_product(null, empty10) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(null, K3) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(null, K10) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(null, P3) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(null, P10) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(empty10, null) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(K3, null) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(K10, null) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(P3, null) + assert nx.is_isomorphic(G, null) + G = nx.cartesian_product(P10, null) + assert nx.is_isomorphic(G, null) + + +def test_cartesian_product_size(): + # order(GXH)=order(G)*order(H) + K5 = nx.complete_graph(5) + P5 = nx.path_graph(5) + K3 = nx.complete_graph(3) + G = nx.cartesian_product(P5, K3) + assert nx.number_of_nodes(G) == 5 * 3 + assert nx.number_of_edges(G) == nx.number_of_edges(P5) * nx.number_of_nodes( + K3 + ) + nx.number_of_edges(K3) * nx.number_of_nodes(P5) + G = nx.cartesian_product(K3, K5) + assert nx.number_of_nodes(G) == 3 * 5 + assert nx.number_of_edges(G) == nx.number_of_edges(K5) * nx.number_of_nodes( + K3 + ) + nx.number_of_edges(K3) * nx.number_of_nodes(K5) + + +def test_cartesian_product_classic(): + # test some classic product graphs + P2 = nx.path_graph(2) + P3 = nx.path_graph(3) + # cube = 2-path X 2-path + G = nx.cartesian_product(P2, P2) + G = nx.cartesian_product(P2, G) + assert nx.is_isomorphic(G, nx.cubical_graph()) + + # 3x3 grid + G = nx.cartesian_product(P3, P3) + assert nx.is_isomorphic(G, nx.grid_2d_graph(3, 3)) + + +def test_cartesian_product_random(): + G = nx.erdos_renyi_graph(10, 2 / 10.0) + H = nx.erdos_renyi_graph(10, 2 / 10.0) + GH = nx.cartesian_product(G, H) + + for u_G, u_H in GH.nodes(): + for v_G, v_H in GH.nodes(): + if (u_G == v_G and H.has_edge(u_H, v_H)) or ( + u_H == v_H and G.has_edge(u_G, v_G) + ): + assert GH.has_edge((u_G, u_H), (v_G, v_H)) + else: + assert not GH.has_edge((u_G, u_H), (v_G, v_H)) + + +def test_lexicographic_product_raises(): + with pytest.raises(nx.NetworkXError): + P = nx.lexicographic_product(nx.DiGraph(), nx.Graph()) + + +def test_lexicographic_product_null(): + null = nx.null_graph() + empty10 = nx.empty_graph(10) + K3 = nx.complete_graph(3) + K10 = nx.complete_graph(10) + P3 = nx.path_graph(3) + P10 = nx.path_graph(10) + # null graph + G = nx.lexicographic_product(null, null) + assert nx.is_isomorphic(G, null) + # null_graph X anything = null_graph and v.v. + G = nx.lexicographic_product(null, empty10) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(null, K3) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(null, K10) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(null, P3) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(null, P10) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(empty10, null) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(K3, null) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(K10, null) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(P3, null) + assert nx.is_isomorphic(G, null) + G = nx.lexicographic_product(P10, null) + assert nx.is_isomorphic(G, null) + + +def test_lexicographic_product_size(): + K5 = nx.complete_graph(5) + P5 = nx.path_graph(5) + K3 = nx.complete_graph(3) + G = nx.lexicographic_product(P5, K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.lexicographic_product(K3, K5) + assert nx.number_of_nodes(G) == 3 * 5 + + +def test_lexicographic_product_combinations(): + P5 = nx.path_graph(5) + K3 = nx.complete_graph(3) + G = nx.lexicographic_product(P5, K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.lexicographic_product(nx.MultiGraph(P5), K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.lexicographic_product(P5, nx.MultiGraph(K3)) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.lexicographic_product(nx.MultiGraph(P5), nx.MultiGraph(K3)) + assert nx.number_of_nodes(G) == 5 * 3 + + # No classic easily found classic results for lexicographic product + + +def test_lexicographic_product_random(): + G = nx.erdos_renyi_graph(10, 2 / 10.0) + H = nx.erdos_renyi_graph(10, 2 / 10.0) + GH = nx.lexicographic_product(G, H) + + for u_G, u_H in GH.nodes(): + for v_G, v_H in GH.nodes(): + if G.has_edge(u_G, v_G) or (u_G == v_G and H.has_edge(u_H, v_H)): + assert GH.has_edge((u_G, u_H), (v_G, v_H)) + else: + assert not GH.has_edge((u_G, u_H), (v_G, v_H)) + + +def test_strong_product_raises(): + with pytest.raises(nx.NetworkXError): + P = nx.strong_product(nx.DiGraph(), nx.Graph()) + + +def test_strong_product_null(): + null = nx.null_graph() + empty10 = nx.empty_graph(10) + K3 = nx.complete_graph(3) + K10 = nx.complete_graph(10) + P3 = nx.path_graph(3) + P10 = nx.path_graph(10) + # null graph + G = nx.strong_product(null, null) + assert nx.is_isomorphic(G, null) + # null_graph X anything = null_graph and v.v. + G = nx.strong_product(null, empty10) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(null, K3) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(null, K10) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(null, P3) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(null, P10) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(empty10, null) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(K3, null) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(K10, null) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(P3, null) + assert nx.is_isomorphic(G, null) + G = nx.strong_product(P10, null) + assert nx.is_isomorphic(G, null) + + +def test_strong_product_size(): + K5 = nx.complete_graph(5) + P5 = nx.path_graph(5) + K3 = nx.complete_graph(3) + G = nx.strong_product(P5, K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.strong_product(K3, K5) + assert nx.number_of_nodes(G) == 3 * 5 + + +def test_strong_product_combinations(): + P5 = nx.path_graph(5) + K3 = nx.complete_graph(3) + G = nx.strong_product(P5, K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.strong_product(nx.MultiGraph(P5), K3) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.strong_product(P5, nx.MultiGraph(K3)) + assert nx.number_of_nodes(G) == 5 * 3 + G = nx.strong_product(nx.MultiGraph(P5), nx.MultiGraph(K3)) + assert nx.number_of_nodes(G) == 5 * 3 + + # No classic easily found classic results for strong product + + +def test_strong_product_random(): + G = nx.erdos_renyi_graph(10, 2 / 10.0) + H = nx.erdos_renyi_graph(10, 2 / 10.0) + GH = nx.strong_product(G, H) + + for u_G, u_H in GH.nodes(): + for v_G, v_H in GH.nodes(): + if ( + (u_G == v_G and H.has_edge(u_H, v_H)) + or (u_H == v_H and G.has_edge(u_G, v_G)) + or (G.has_edge(u_G, v_G) and H.has_edge(u_H, v_H)) + ): + assert GH.has_edge((u_G, u_H), (v_G, v_H)) + else: + assert not GH.has_edge((u_G, u_H), (v_G, v_H)) + + +def test_graph_power_raises(): + with pytest.raises(nx.NetworkXNotImplemented): + nx.power(nx.MultiDiGraph(), 2) + + +def test_graph_power(): + # wikipedia example for graph power + G = nx.cycle_graph(7) + G.add_edge(6, 7) + G.add_edge(7, 8) + G.add_edge(8, 9) + G.add_edge(9, 2) + H = nx.power(G, 2) + + assert edges_equal( + list(H.edges()), + [ + (0, 1), + (0, 2), + (0, 5), + (0, 6), + (0, 7), + (1, 9), + (1, 2), + (1, 3), + (1, 6), + (2, 3), + (2, 4), + (2, 8), + (2, 9), + (3, 4), + (3, 5), + (3, 9), + (4, 5), + (4, 6), + (5, 6), + (5, 7), + (6, 7), + (6, 8), + (7, 8), + (7, 9), + (8, 9), + ], + ) + + +def test_graph_power_negative(): + with pytest.raises(ValueError): + nx.power(nx.Graph(), -1) + + +def test_rooted_product_raises(): + with pytest.raises(nx.NodeNotFound): + nx.rooted_product(nx.Graph(), nx.path_graph(2), 10) + + +def test_rooted_product(): + G = nx.cycle_graph(5) + H = nx.Graph() + H.add_edges_from([("a", "b"), ("b", "c"), ("b", "d")]) + R = nx.rooted_product(G, H, "a") + assert len(R) == len(G) * len(H) + assert R.size() == G.size() + len(G) * H.size() + + +def test_corona_product(): + G = nx.cycle_graph(3) + H = nx.path_graph(2) + C = nx.corona_product(G, H) + assert len(C) == (len(G) * len(H)) + len(G) + assert C.size() == G.size() + len(G) * H.size() + len(G) * len(H) + + +def test_modular_product(): + G = nx.path_graph(3) + H = nx.path_graph(4) + M = nx.modular_product(G, H) + assert len(M) == len(G) * len(H) + + assert edges_equal( + list(M.edges()), + [ + ((0, 0), (1, 1)), + ((0, 0), (2, 2)), + ((0, 0), (2, 3)), + ((0, 1), (1, 0)), + ((0, 1), (1, 2)), + ((0, 1), (2, 3)), + ((0, 2), (1, 1)), + ((0, 2), (1, 3)), + ((0, 2), (2, 0)), + ((0, 3), (1, 2)), + ((0, 3), (2, 0)), + ((0, 3), (2, 1)), + ((1, 0), (2, 1)), + ((1, 1), (2, 0)), + ((1, 1), (2, 2)), + ((1, 2), (2, 1)), + ((1, 2), (2, 3)), + ((1, 3), (2, 2)), + ], + ) + + +def test_modular_product_raises(): + G = nx.Graph([(0, 1), (1, 2), (2, 0)]) + H = nx.Graph([(0, 1), (1, 2), (2, 0)]) + DG = nx.DiGraph([(0, 1), (1, 2), (2, 0)]) + DH = nx.DiGraph([(0, 1), (1, 2), (2, 0)]) + with pytest.raises(nx.NetworkXNotImplemented): + nx.modular_product(G, DH) + with pytest.raises(nx.NetworkXNotImplemented): + nx.modular_product(DG, H) + with pytest.raises(nx.NetworkXNotImplemented): + nx.modular_product(DG, DH) + + MG = nx.MultiGraph([(0, 1), (1, 2), (2, 0), (0, 1)]) + MH = nx.MultiGraph([(0, 1), (1, 2), (2, 0), (0, 1)]) + with pytest.raises(nx.NetworkXNotImplemented): + nx.modular_product(G, MH) + with pytest.raises(nx.NetworkXNotImplemented): + nx.modular_product(MG, H) + with pytest.raises(nx.NetworkXNotImplemented): + nx.modular_product(MG, MH) + with pytest.raises(nx.NetworkXNotImplemented): + # check multigraph with no multiedges + nx.modular_product(nx.MultiGraph(G), H) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_unary.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_unary.py new file mode 100644 index 0000000000000000000000000000000000000000..d68e55cd9c9fa37459b497c32a7a095576c306c3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/tests/test_unary.py @@ -0,0 +1,55 @@ +import pytest + +import networkx as nx + + +def test_complement(): + null = nx.null_graph() + empty1 = nx.empty_graph(1) + empty10 = nx.empty_graph(10) + K3 = nx.complete_graph(3) + K5 = nx.complete_graph(5) + K10 = nx.complete_graph(10) + P2 = nx.path_graph(2) + P3 = nx.path_graph(3) + P5 = nx.path_graph(5) + P10 = nx.path_graph(10) + # complement of the complete graph is empty + + G = nx.complement(K3) + assert nx.is_isomorphic(G, nx.empty_graph(3)) + G = nx.complement(K5) + assert nx.is_isomorphic(G, nx.empty_graph(5)) + # for any G, G=complement(complement(G)) + P3cc = nx.complement(nx.complement(P3)) + assert nx.is_isomorphic(P3, P3cc) + nullcc = nx.complement(nx.complement(null)) + assert nx.is_isomorphic(null, nullcc) + b = nx.bull_graph() + bcc = nx.complement(nx.complement(b)) + assert nx.is_isomorphic(b, bcc) + + +def test_complement_2(): + G1 = nx.DiGraph() + G1.add_edge("A", "B") + G1.add_edge("A", "C") + G1.add_edge("A", "D") + G1C = nx.complement(G1) + assert sorted(G1C.edges()) == [ + ("B", "A"), + ("B", "C"), + ("B", "D"), + ("C", "A"), + ("C", "B"), + ("C", "D"), + ("D", "A"), + ("D", "B"), + ("D", "C"), + ] + + +def test_reverse1(): + # Other tests for reverse are done by the DiGraph and MultiDigraph. + G1 = nx.Graph() + pytest.raises(nx.NetworkXError, nx.reverse, G1) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/unary.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/unary.py new file mode 100644 index 0000000000000000000000000000000000000000..79e44d1cc04cff72c5c87d1852544514a6f53246 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/operators/unary.py @@ -0,0 +1,77 @@ +"""Unary operations on graphs""" + +import networkx as nx + +__all__ = ["complement", "reverse"] + + +@nx._dispatchable(returns_graph=True) +def complement(G): + """Returns the graph complement of G. + + Parameters + ---------- + G : graph + A NetworkX graph + + Returns + ------- + GC : A new graph. + + Notes + ----- + Note that `complement` does not create self-loops and also + does not produce parallel edges for MultiGraphs. + + Graph, node, and edge data are not propagated to the new graph. + + Examples + -------- + >>> G = nx.Graph([(1, 2), (1, 3), (2, 3), (3, 4), (3, 5)]) + >>> G_complement = nx.complement(G) + >>> G_complement.edges() # This shows the edges of the complemented graph + EdgeView([(1, 4), (1, 5), (2, 4), (2, 5), (4, 5)]) + + """ + R = G.__class__() + R.add_nodes_from(G) + R.add_edges_from( + ((n, n2) for n, nbrs in G.adjacency() for n2 in G if n2 not in nbrs if n != n2) + ) + return R + + +@nx._dispatchable(returns_graph=True) +def reverse(G, copy=True): + """Returns the reverse directed graph of G. + + Parameters + ---------- + G : directed graph + A NetworkX directed graph + copy : bool + If True, then a new graph is returned. If False, then the graph is + reversed in place. + + Returns + ------- + H : directed graph + The reversed G. + + Raises + ------ + NetworkXError + If graph is undirected. + + Examples + -------- + >>> G = nx.DiGraph([(1, 2), (1, 3), (2, 3), (3, 4), (3, 5)]) + >>> G_reversed = nx.reverse(G) + >>> G_reversed.edges() + OutEdgeView([(2, 1), (3, 1), (3, 2), (4, 3), (5, 3)]) + + """ + if not G.is_directed(): + raise nx.NetworkXError("Cannot reverse an undirected graph.") + else: + return G.reverse(copy=copy) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..eb0d91cecc902f6390cb8309c017cb1558f7753f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/__init__.py @@ -0,0 +1,5 @@ +from networkx.algorithms.shortest_paths.generic import * +from networkx.algorithms.shortest_paths.unweighted import * +from networkx.algorithms.shortest_paths.weighted import * +from networkx.algorithms.shortest_paths.astar import * +from networkx.algorithms.shortest_paths.dense import * diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/astar.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/astar.py new file mode 100644 index 0000000000000000000000000000000000000000..8d988477b2c1034cacd99cec70d932055ba96a8e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/astar.py @@ -0,0 +1,241 @@ +"""Shortest paths and path lengths using the A* ("A star") algorithm.""" + +from heapq import heappop, heappush +from itertools import count + +import networkx as nx +from networkx.algorithms.shortest_paths.weighted import _weight_function + +__all__ = ["astar_path", "astar_path_length"] + + +@nx._dispatchable(edge_attrs="weight", preserve_node_attrs="heuristic") +def astar_path(G, source, target, heuristic=None, weight="weight", *, cutoff=None): + """Returns a list of nodes in a shortest path between source and target + using the A* ("A-star") algorithm. + + There may be more than one shortest path. This returns only one. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path + + target : node + Ending node for path + + heuristic : function + A function to evaluate the estimate of the distance + from the a node to the target. The function takes + two nodes arguments and must return a number. + If the heuristic is inadmissible (if it might + overestimate the cost of reaching the goal from a node), + the result may not be a shortest path. + The algorithm does not support updating heuristic + values for the same node due to caching the first + heuristic calculation per node. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + cutoff : float, optional + If this is provided, the search will be bounded to this value. I.e. if + the evaluation function surpasses this value for a node n, the node will not + be expanded further and will be ignored. More formally, let h'(n) be the + heuristic function, and g(n) be the cost of reaching n from the source node. Then, + if g(n) + h'(n) > cutoff, the node will not be explored further. + Note that if the heuristic is inadmissible, it is possible that paths + are ignored even though they satisfy the cutoff. + + Raises + ------ + NetworkXNoPath + If no path exists between source and target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> print(nx.astar_path(G, 0, 4)) + [0, 1, 2, 3, 4] + >>> G = nx.grid_graph(dim=[3, 3]) # nodes are two-tuples (x,y) + >>> nx.set_edge_attributes(G, {e: e[1][0] * 2 for e in G.edges()}, "cost") + >>> def dist(a, b): + ... (x1, y1) = a + ... (x2, y2) = b + ... return ((x1 - x2) ** 2 + (y1 - y2) ** 2) ** 0.5 + >>> print(nx.astar_path(G, (0, 0), (2, 2), heuristic=dist, weight="cost")) + [(0, 0), (0, 1), (0, 2), (1, 2), (2, 2)] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + See Also + -------- + shortest_path, dijkstra_path + + """ + if source not in G: + raise nx.NodeNotFound(f"Source {source} is not in G") + + if target not in G: + raise nx.NodeNotFound(f"Target {target} is not in G") + + if heuristic is None: + # The default heuristic is h=0 - same as Dijkstra's algorithm + def heuristic(u, v): + return 0 + + push = heappush + pop = heappop + weight = _weight_function(G, weight) + + G_succ = G._adj # For speed-up (and works for both directed and undirected graphs) + + # The queue stores priority, node, cost to reach, and parent. + # Uses Python heapq to keep in priority order. + # Add a counter to the queue to prevent the underlying heap from + # attempting to compare the nodes themselves. The hash breaks ties in the + # priority and is guaranteed unique for all nodes in the graph. + c = count() + queue = [(0, next(c), source, 0, None)] + + # Maps enqueued nodes to distance of discovered paths and the + # computed heuristics to target. We avoid computing the heuristics + # more than once and inserting the node into the queue too many times. + enqueued = {} + # Maps explored nodes to parent closest to the source. + explored = {} + + while queue: + # Pop the smallest item from queue. + _, __, curnode, dist, parent = pop(queue) + + if curnode == target: + path = [curnode] + node = parent + while node is not None: + path.append(node) + node = explored[node] + path.reverse() + return path + + if curnode in explored: + # Do not override the parent of starting node + if explored[curnode] is None: + continue + + # Skip bad paths that were enqueued before finding a better one + qcost, h = enqueued[curnode] + if qcost < dist: + continue + + explored[curnode] = parent + + for neighbor, w in G_succ[curnode].items(): + cost = weight(curnode, neighbor, w) + if cost is None: + continue + ncost = dist + cost + if neighbor in enqueued: + qcost, h = enqueued[neighbor] + # if qcost <= ncost, a less costly path from the + # neighbor to the source was already determined. + # Therefore, we won't attempt to push this neighbor + # to the queue + if qcost <= ncost: + continue + else: + h = heuristic(neighbor, target) + + if cutoff and ncost + h > cutoff: + continue + + enqueued[neighbor] = ncost, h + push(queue, (ncost + h, next(c), neighbor, ncost, curnode)) + + raise nx.NetworkXNoPath(f"Node {target} not reachable from {source}") + + +@nx._dispatchable(edge_attrs="weight", preserve_node_attrs="heuristic") +def astar_path_length( + G, source, target, heuristic=None, weight="weight", *, cutoff=None +): + """Returns the length of the shortest path between source and target using + the A* ("A-star") algorithm. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path + + target : node + Ending node for path + + heuristic : function + A function to evaluate the estimate of the distance + from the a node to the target. The function takes + two nodes arguments and must return a number. + If the heuristic is inadmissible (if it might + overestimate the cost of reaching the goal from a node), + the result may not be a shortest path. + The algorithm does not support updating heuristic + values for the same node due to caching the first + heuristic calculation per node. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + cutoff : float, optional + If this is provided, the search will be bounded to this value. I.e. if + the evaluation function surpasses this value for a node n, the node will not + be expanded further and will be ignored. More formally, let h'(n) be the + heuristic function, and g(n) be the cost of reaching n from the source node. Then, + if g(n) + h'(n) > cutoff, the node will not be explored further. + Note that if the heuristic is inadmissible, it is possible that paths + are ignored even though they satisfy the cutoff. + + Raises + ------ + NetworkXNoPath + If no path exists between source and target. + + See Also + -------- + astar_path + + """ + if source not in G or target not in G: + msg = f"Either source {source} or target {target} is not in G" + raise nx.NodeNotFound(msg) + + weight = _weight_function(G, weight) + path = astar_path(G, source, target, heuristic, weight, cutoff=cutoff) + return sum(weight(u, v, G[u][v]) for u, v in zip(path[:-1], path[1:])) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/dense.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/dense.py new file mode 100644 index 0000000000000000000000000000000000000000..107b920884a0cde29b77257e941cd2e172f140e6 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/dense.py @@ -0,0 +1,260 @@ +"""Floyd-Warshall algorithm for shortest paths.""" + +import networkx as nx + +__all__ = [ + "floyd_warshall", + "floyd_warshall_predecessor_and_distance", + "reconstruct_path", + "floyd_warshall_numpy", +] + + +@nx._dispatchable(edge_attrs="weight") +def floyd_warshall_numpy(G, nodelist=None, weight="weight"): + """Find all-pairs shortest path lengths using Floyd's algorithm. + + This algorithm for finding shortest paths takes advantage of + matrix representations of a graph and works well for dense + graphs where all-pairs shortest path lengths are desired. + The results are returned as a NumPy array, distance[i, j], + where i and j are the indexes of two nodes in nodelist. + The entry distance[i, j] is the distance along a shortest + path from i to j. If no path exists the distance is Inf. + + Parameters + ---------- + G : NetworkX graph + + nodelist : list, optional (default=G.nodes) + The rows and columns are ordered by the nodes in nodelist. + If nodelist is None then the ordering is produced by G.nodes. + Nodelist should include all nodes in G. + + weight: string, optional (default='weight') + Edge data key corresponding to the edge weight. + + Returns + ------- + distance : 2D numpy.ndarray + A numpy array of shortest path distances between nodes. + If there is no path between two nodes the value is Inf. + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_weighted_edges_from( + ... [(0, 1, 5), (1, 2, 2), (2, 3, -3), (1, 3, 10), (3, 2, 8)] + ... ) + >>> nx.floyd_warshall_numpy(G) + array([[ 0., 5., 7., 4.], + [inf, 0., 2., -1.], + [inf, inf, 0., -3.], + [inf, inf, 8., 0.]]) + + Notes + ----- + Floyd's algorithm is appropriate for finding shortest paths in + dense graphs or graphs with negative weights when Dijkstra's + algorithm fails. This algorithm can still fail if there are negative + cycles. It has running time $O(n^3)$ with running space of $O(n^2)$. + + Raises + ------ + NetworkXError + If nodelist is not a list of the nodes in G. + """ + import numpy as np + + if nodelist is not None: + if not (len(nodelist) == len(G) == len(set(nodelist))): + raise nx.NetworkXError( + "nodelist must contain every node in G with no repeats." + "If you wanted a subgraph of G use G.subgraph(nodelist)" + ) + + # To handle cases when an edge has weight=0, we must make sure that + # nonedges are not given the value 0 as well. + A = nx.to_numpy_array( + G, nodelist, multigraph_weight=min, weight=weight, nonedge=np.inf + ) + n, m = A.shape + np.fill_diagonal(A, 0) # diagonal elements should be zero + for i in range(n): + # The second term has the same shape as A due to broadcasting + A = np.minimum(A, A[i, :][np.newaxis, :] + A[:, i][:, np.newaxis]) + return A + + +@nx._dispatchable(edge_attrs="weight") +def floyd_warshall_predecessor_and_distance(G, weight="weight"): + """Find all-pairs shortest path lengths using Floyd's algorithm. + + Parameters + ---------- + G : NetworkX graph + + weight: string, optional (default= 'weight') + Edge data key corresponding to the edge weight. + + Returns + ------- + predecessor,distance : dictionaries + Dictionaries, keyed by source and target, of predecessors and distances + in the shortest path. + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_weighted_edges_from( + ... [ + ... ("s", "u", 10), + ... ("s", "x", 5), + ... ("u", "v", 1), + ... ("u", "x", 2), + ... ("v", "y", 1), + ... ("x", "u", 3), + ... ("x", "v", 5), + ... ("x", "y", 2), + ... ("y", "s", 7), + ... ("y", "v", 6), + ... ] + ... ) + >>> predecessors, _ = nx.floyd_warshall_predecessor_and_distance(G) + >>> print(nx.reconstruct_path("s", "v", predecessors)) + ['s', 'x', 'u', 'v'] + + Notes + ----- + Floyd's algorithm is appropriate for finding shortest paths + in dense graphs or graphs with negative weights when Dijkstra's algorithm + fails. This algorithm can still fail if there are negative cycles. + It has running time $O(n^3)$ with running space of $O(n^2)$. + + See Also + -------- + floyd_warshall + floyd_warshall_numpy + all_pairs_shortest_path + all_pairs_shortest_path_length + """ + from collections import defaultdict + + # dictionary-of-dictionaries representation for dist and pred + # use some defaultdict magick here + # for dist the default is the floating point inf value + dist = defaultdict(lambda: defaultdict(lambda: float("inf"))) + for u in G: + dist[u][u] = 0 + pred = defaultdict(dict) + # initialize path distance dictionary to be the adjacency matrix + # also set the distance to self to 0 (zero diagonal) + undirected = not G.is_directed() + for u, v, d in G.edges(data=True): + e_weight = d.get(weight, 1.0) + dist[u][v] = min(e_weight, dist[u][v]) + pred[u][v] = u + if undirected: + dist[v][u] = min(e_weight, dist[v][u]) + pred[v][u] = v + for w in G: + dist_w = dist[w] # save recomputation + for u in G: + dist_u = dist[u] # save recomputation + for v in G: + d = dist_u[w] + dist_w[v] + if dist_u[v] > d: + dist_u[v] = d + pred[u][v] = pred[w][v] + return dict(pred), dict(dist) + + +@nx._dispatchable(graphs=None) +def reconstruct_path(source, target, predecessors): + """Reconstruct a path from source to target using the predecessors + dict as returned by floyd_warshall_predecessor_and_distance + + Parameters + ---------- + source : node + Starting node for path + + target : node + Ending node for path + + predecessors: dictionary + Dictionary, keyed by source and target, of predecessors in the + shortest path, as returned by floyd_warshall_predecessor_and_distance + + Returns + ------- + path : list + A list of nodes containing the shortest path from source to target + + If source and target are the same, an empty list is returned + + Notes + ----- + This function is meant to give more applicability to the + floyd_warshall_predecessor_and_distance function + + See Also + -------- + floyd_warshall_predecessor_and_distance + """ + if source == target: + return [] + prev = predecessors[source] + curr = prev[target] + path = [target, curr] + while curr != source: + curr = prev[curr] + path.append(curr) + return list(reversed(path)) + + +@nx._dispatchable(edge_attrs="weight") +def floyd_warshall(G, weight="weight"): + """Find all-pairs shortest path lengths using Floyd's algorithm. + + Parameters + ---------- + G : NetworkX graph + + weight: string, optional (default= 'weight') + Edge data key corresponding to the edge weight. + + + Returns + ------- + distance : dict + A dictionary, keyed by source and target, of shortest paths distances + between nodes. + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_weighted_edges_from( + ... [(0, 1, 5), (1, 2, 2), (2, 3, -3), (1, 3, 10), (3, 2, 8)] + ... ) + >>> fw = nx.floyd_warshall(G, weight="weight") + >>> results = {a: dict(b) for a, b in fw.items()} + >>> print(results) + {0: {0: 0, 1: 5, 2: 7, 3: 4}, 1: {1: 0, 2: 2, 3: -1, 0: inf}, 2: {2: 0, 3: -3, 0: inf, 1: inf}, 3: {3: 0, 2: 8, 0: inf, 1: inf}} + + Notes + ----- + Floyd's algorithm is appropriate for finding shortest paths + in dense graphs or graphs with negative weights when Dijkstra's algorithm + fails. This algorithm can still fail if there are negative cycles. + It has running time $O(n^3)$ with running space of $O(n^2)$. + + See Also + -------- + floyd_warshall_predecessor_and_distance + floyd_warshall_numpy + all_pairs_shortest_path + all_pairs_shortest_path_length + """ + # could make this its own function to reduce memory costs + return floyd_warshall_predecessor_and_distance(G, weight=weight)[1] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/generic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/generic.py new file mode 100644 index 0000000000000000000000000000000000000000..9ac48c90fe015402239e878529ee33ba6091743d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/generic.py @@ -0,0 +1,730 @@ +""" +Compute the shortest paths and path lengths between nodes in the graph. + +These algorithms work with undirected and directed graphs. + +""" + +import warnings + +import networkx as nx + +__all__ = [ + "shortest_path", + "all_shortest_paths", + "single_source_all_shortest_paths", + "all_pairs_all_shortest_paths", + "shortest_path_length", + "average_shortest_path_length", + "has_path", +] + + +@nx._dispatchable +def has_path(G, source, target): + """Returns *True* if *G* has a path from *source* to *target*. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path + + target : node + Ending node for path + """ + try: + nx.shortest_path(G, source, target) + except nx.NetworkXNoPath: + return False + return True + + +@nx._dispatchable(edge_attrs="weight") +def shortest_path(G, source=None, target=None, weight=None, method="dijkstra"): + """Compute shortest paths in the graph. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Starting node for path. If not specified, compute shortest + paths for each possible starting node. + + target : node, optional + Ending node for path. If not specified, compute shortest + paths to all possible nodes. + + weight : None, string or function, optional (default = None) + If None, every edge has weight/distance/cost 1. + If a string, use this edge attribute as the edge weight. + Any edge attribute not present defaults to 1. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly + three positional arguments: the two endpoints of an edge and + the dictionary of edge attributes for that edge. + The function must return a number. + + method : string, optional (default = 'dijkstra') + The algorithm to use to compute the path. + Supported options: 'dijkstra', 'bellman-ford'. + Other inputs produce a ValueError. + If `weight` is None, unweighted graph methods are used, and this + suggestion is ignored. + + Returns + ------- + path: list or dictionary + All returned paths include both the source and target in the path. + + If the source and target are both specified, return a single list + of nodes in a shortest path from the source to the target. + + If only the source is specified, return a dictionary keyed by + targets with a list of nodes in a shortest path from the source + to one of the targets. + + If only the target is specified, return a dictionary keyed by + sources with a list of nodes in a shortest path from one of the + sources to the target. + + If neither the source nor target are specified return a dictionary + of dictionaries with path[source][target]=[list of nodes in path]. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + ValueError + If `method` is not among the supported options. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> print(nx.shortest_path(G, source=0, target=4)) + [0, 1, 2, 3, 4] + >>> p = nx.shortest_path(G, source=0) # target not specified + >>> p[3] # shortest path from source=0 to target=3 + [0, 1, 2, 3] + >>> p = nx.shortest_path(G, target=4) # source not specified + >>> p[1] # shortest path from source=1 to target=4 + [1, 2, 3, 4] + >>> p = dict(nx.shortest_path(G)) # source, target not specified + >>> p[2][4] # shortest path from source=2 to target=4 + [2, 3, 4] + + Notes + ----- + There may be more than one shortest path between a source and target. + This returns only one of them. + + See Also + -------- + all_pairs_shortest_path + all_pairs_dijkstra_path + all_pairs_bellman_ford_path + single_source_shortest_path + single_source_dijkstra_path + single_source_bellman_ford_path + """ + if method not in ("dijkstra", "bellman-ford"): + # so we don't need to check in each branch later + raise ValueError(f"method not supported: {method}") + method = "unweighted" if weight is None else method + if source is None: + if target is None: + warnings.warn( + ( + "\n\nshortest_path will return an iterator that yields\n" + "(node, path) pairs instead of a dictionary when source\n" + "and target are unspecified beginning in version 3.5\n\n" + "To keep the current behavior, use:\n\n" + "\tdict(nx.shortest_path(G))" + ), + FutureWarning, + stacklevel=3, + ) + + # Find paths between all pairs. + if method == "unweighted": + paths = dict(nx.all_pairs_shortest_path(G)) + elif method == "dijkstra": + paths = dict(nx.all_pairs_dijkstra_path(G, weight=weight)) + else: # method == 'bellman-ford': + paths = dict(nx.all_pairs_bellman_ford_path(G, weight=weight)) + else: + # Find paths from all nodes co-accessible to the target. + if G.is_directed(): + G = G.reverse(copy=False) + if method == "unweighted": + paths = nx.single_source_shortest_path(G, target) + elif method == "dijkstra": + paths = nx.single_source_dijkstra_path(G, target, weight=weight) + else: # method == 'bellman-ford': + paths = nx.single_source_bellman_ford_path(G, target, weight=weight) + # Now flip the paths so they go from a source to the target. + for target in paths: + paths[target] = list(reversed(paths[target])) + else: + if target is None: + # Find paths to all nodes accessible from the source. + if method == "unweighted": + paths = nx.single_source_shortest_path(G, source) + elif method == "dijkstra": + paths = nx.single_source_dijkstra_path(G, source, weight=weight) + else: # method == 'bellman-ford': + paths = nx.single_source_bellman_ford_path(G, source, weight=weight) + else: + # Find shortest source-target path. + if method == "unweighted": + paths = nx.bidirectional_shortest_path(G, source, target) + elif method == "dijkstra": + _, paths = nx.bidirectional_dijkstra(G, source, target, weight) + else: # method == 'bellman-ford': + paths = nx.bellman_ford_path(G, source, target, weight) + return paths + + +@nx._dispatchable(edge_attrs="weight") +def shortest_path_length(G, source=None, target=None, weight=None, method="dijkstra"): + """Compute shortest path lengths in the graph. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Starting node for path. + If not specified, compute shortest path lengths using all nodes as + source nodes. + + target : node, optional + Ending node for path. + If not specified, compute shortest path lengths using all nodes as + target nodes. + + weight : None, string or function, optional (default = None) + If None, every edge has weight/distance/cost 1. + If a string, use this edge attribute as the edge weight. + Any edge attribute not present defaults to 1. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly + three positional arguments: the two endpoints of an edge and + the dictionary of edge attributes for that edge. + The function must return a number. + + method : string, optional (default = 'dijkstra') + The algorithm to use to compute the path length. + Supported options: 'dijkstra', 'bellman-ford'. + Other inputs produce a ValueError. + If `weight` is None, unweighted graph methods are used, and this + suggestion is ignored. + + Returns + ------- + length: number or iterator + If the source and target are both specified, return the length of + the shortest path from the source to the target. + + If only the source is specified, return a dict keyed by target + to the shortest path length from the source to that target. + + If only the target is specified, return a dict keyed by source + to the shortest path length from that source to the target. + + If neither the source nor target are specified, return an iterator + over (source, dictionary) where dictionary is keyed by target to + shortest path length from source to that target. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + NetworkXNoPath + If no path exists between source and target. + + ValueError + If `method` is not among the supported options. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.shortest_path_length(G, source=0, target=4) + 4 + >>> p = nx.shortest_path_length(G, source=0) # target not specified + >>> p[4] + 4 + >>> p = nx.shortest_path_length(G, target=4) # source not specified + >>> p[0] + 4 + >>> p = dict(nx.shortest_path_length(G)) # source,target not specified + >>> p[0][4] + 4 + + Notes + ----- + The length of the path is always 1 less than the number of nodes involved + in the path since the length measures the number of edges followed. + + For digraphs this returns the shortest directed path length. To find path + lengths in the reverse direction use G.reverse(copy=False) first to flip + the edge orientation. + + See Also + -------- + all_pairs_shortest_path_length + all_pairs_dijkstra_path_length + all_pairs_bellman_ford_path_length + single_source_shortest_path_length + single_source_dijkstra_path_length + single_source_bellman_ford_path_length + """ + if method not in ("dijkstra", "bellman-ford"): + # so we don't need to check in each branch later + raise ValueError(f"method not supported: {method}") + method = "unweighted" if weight is None else method + if source is None: + if target is None: + # Find paths between all pairs. + if method == "unweighted": + paths = nx.all_pairs_shortest_path_length(G) + elif method == "dijkstra": + paths = nx.all_pairs_dijkstra_path_length(G, weight=weight) + else: # method == 'bellman-ford': + paths = nx.all_pairs_bellman_ford_path_length(G, weight=weight) + else: + # Find paths from all nodes co-accessible to the target. + if G.is_directed(): + G = G.reverse(copy=False) + if method == "unweighted": + path_length = nx.single_source_shortest_path_length + paths = path_length(G, target) + elif method == "dijkstra": + path_length = nx.single_source_dijkstra_path_length + paths = path_length(G, target, weight=weight) + else: # method == 'bellman-ford': + path_length = nx.single_source_bellman_ford_path_length + paths = path_length(G, target, weight=weight) + else: + if target is None: + # Find paths to all nodes accessible from the source. + if method == "unweighted": + paths = nx.single_source_shortest_path_length(G, source) + elif method == "dijkstra": + path_length = nx.single_source_dijkstra_path_length + paths = path_length(G, source, weight=weight) + else: # method == 'bellman-ford': + path_length = nx.single_source_bellman_ford_path_length + paths = path_length(G, source, weight=weight) + else: + # Find shortest source-target path. + if method == "unweighted": + p = nx.bidirectional_shortest_path(G, source, target) + paths = len(p) - 1 + elif method == "dijkstra": + paths = nx.dijkstra_path_length(G, source, target, weight) + else: # method == 'bellman-ford': + paths = nx.bellman_ford_path_length(G, source, target, weight) + return paths + + +@nx._dispatchable(edge_attrs="weight") +def average_shortest_path_length(G, weight=None, method=None): + r"""Returns the average shortest path length. + + The average shortest path length is + + .. math:: + + a =\sum_{\substack{s,t \in V \\ s\neq t}} \frac{d(s, t)}{n(n-1)} + + where `V` is the set of nodes in `G`, + `d(s, t)` is the shortest path from `s` to `t`, + and `n` is the number of nodes in `G`. + + .. versionchanged:: 3.0 + An exception is raised for directed graphs that are not strongly + connected. + + Parameters + ---------- + G : NetworkX graph + + weight : None, string or function, optional (default = None) + If None, every edge has weight/distance/cost 1. + If a string, use this edge attribute as the edge weight. + Any edge attribute not present defaults to 1. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly + three positional arguments: the two endpoints of an edge and + the dictionary of edge attributes for that edge. + The function must return a number. + + method : string, optional (default = 'unweighted' or 'dijkstra') + The algorithm to use to compute the path lengths. + Supported options are 'unweighted', 'dijkstra', 'bellman-ford', + 'floyd-warshall' and 'floyd-warshall-numpy'. + Other method values produce a ValueError. + The default method is 'unweighted' if `weight` is None, + otherwise the default method is 'dijkstra'. + + Raises + ------ + NetworkXPointlessConcept + If `G` is the null graph (that is, the graph on zero nodes). + + NetworkXError + If `G` is not connected (or not strongly connected, in the case + of a directed graph). + + ValueError + If `method` is not among the supported options. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.average_shortest_path_length(G) + 2.0 + + For disconnected graphs, you can compute the average shortest path + length for each component + + >>> G = nx.Graph([(1, 2), (3, 4)]) + >>> for C in (G.subgraph(c).copy() for c in nx.connected_components(G)): + ... print(nx.average_shortest_path_length(C)) + 1.0 + 1.0 + + """ + single_source_methods = ["unweighted", "dijkstra", "bellman-ford"] + all_pairs_methods = ["floyd-warshall", "floyd-warshall-numpy"] + supported_methods = single_source_methods + all_pairs_methods + + if method is None: + method = "unweighted" if weight is None else "dijkstra" + if method not in supported_methods: + raise ValueError(f"method not supported: {method}") + + n = len(G) + # For the special case of the null graph, raise an exception, since + # there are no paths in the null graph. + if n == 0: + msg = ( + "the null graph has no paths, thus there is no average " + "shortest path length" + ) + raise nx.NetworkXPointlessConcept(msg) + # For the special case of the trivial graph, return zero immediately. + if n == 1: + return 0 + # Shortest path length is undefined if the graph is not strongly connected. + if G.is_directed() and not nx.is_strongly_connected(G): + raise nx.NetworkXError("Graph is not strongly connected.") + # Shortest path length is undefined if the graph is not connected. + if not G.is_directed() and not nx.is_connected(G): + raise nx.NetworkXError("Graph is not connected.") + + # Compute all-pairs shortest paths. + def path_length(v): + if method == "unweighted": + return nx.single_source_shortest_path_length(G, v) + elif method == "dijkstra": + return nx.single_source_dijkstra_path_length(G, v, weight=weight) + elif method == "bellman-ford": + return nx.single_source_bellman_ford_path_length(G, v, weight=weight) + + if method in single_source_methods: + # Sum the distances for each (ordered) pair of source and target node. + s = sum(l for u in G for l in path_length(u).values()) + else: + if method == "floyd-warshall": + all_pairs = nx.floyd_warshall(G, weight=weight) + s = sum(sum(t.values()) for t in all_pairs.values()) + elif method == "floyd-warshall-numpy": + s = float(nx.floyd_warshall_numpy(G, weight=weight).sum()) + return s / (n * (n - 1)) + + +@nx._dispatchable(edge_attrs="weight") +def all_shortest_paths(G, source, target, weight=None, method="dijkstra"): + """Compute all shortest simple paths in the graph. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path. + + target : node + Ending node for path. + + weight : None, string or function, optional (default = None) + If None, every edge has weight/distance/cost 1. + If a string, use this edge attribute as the edge weight. + Any edge attribute not present defaults to 1. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly + three positional arguments: the two endpoints of an edge and + the dictionary of edge attributes for that edge. + The function must return a number. + + method : string, optional (default = 'dijkstra') + The algorithm to use to compute the path lengths. + Supported options: 'dijkstra', 'bellman-ford'. + Other inputs produce a ValueError. + If `weight` is None, unweighted graph methods are used, and this + suggestion is ignored. + + Returns + ------- + paths : generator of lists + A generator of all paths between source and target. + + Raises + ------ + ValueError + If `method` is not among the supported options. + + NetworkXNoPath + If `target` cannot be reached from `source`. + + Examples + -------- + >>> G = nx.Graph() + >>> nx.add_path(G, [0, 1, 2]) + >>> nx.add_path(G, [0, 10, 2]) + >>> print([p for p in nx.all_shortest_paths(G, source=0, target=2)]) + [[0, 1, 2], [0, 10, 2]] + + Notes + ----- + There may be many shortest paths between the source and target. If G + contains zero-weight cycles, this function will not produce all shortest + paths because doing so would produce infinitely many paths of unbounded + length -- instead, we only produce the shortest simple paths. + + See Also + -------- + shortest_path + single_source_shortest_path + all_pairs_shortest_path + """ + method = "unweighted" if weight is None else method + if method == "unweighted": + pred = nx.predecessor(G, source) + elif method == "dijkstra": + pred, dist = nx.dijkstra_predecessor_and_distance(G, source, weight=weight) + elif method == "bellman-ford": + pred, dist = nx.bellman_ford_predecessor_and_distance(G, source, weight=weight) + else: + raise ValueError(f"method not supported: {method}") + + return _build_paths_from_predecessors({source}, target, pred) + + +@nx._dispatchable(edge_attrs="weight") +def single_source_all_shortest_paths(G, source, weight=None, method="dijkstra"): + """Compute all shortest simple paths from the given source in the graph. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path. + + weight : None, string or function, optional (default = None) + If None, every edge has weight/distance/cost 1. + If a string, use this edge attribute as the edge weight. + Any edge attribute not present defaults to 1. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly + three positional arguments: the two endpoints of an edge and + the dictionary of edge attributes for that edge. + The function must return a number. + + method : string, optional (default = 'dijkstra') + The algorithm to use to compute the path lengths. + Supported options: 'dijkstra', 'bellman-ford'. + Other inputs produce a ValueError. + If `weight` is None, unweighted graph methods are used, and this + suggestion is ignored. + + Returns + ------- + paths : generator of dictionary + A generator of all paths between source and all nodes in the graph. + + Raises + ------ + ValueError + If `method` is not among the supported options. + + Examples + -------- + >>> G = nx.Graph() + >>> nx.add_path(G, [0, 1, 2, 3, 0]) + >>> dict(nx.single_source_all_shortest_paths(G, source=0)) + {0: [[0]], 1: [[0, 1]], 2: [[0, 1, 2], [0, 3, 2]], 3: [[0, 3]]} + + Notes + ----- + There may be many shortest paths between the source and target. If G + contains zero-weight cycles, this function will not produce all shortest + paths because doing so would produce infinitely many paths of unbounded + length -- instead, we only produce the shortest simple paths. + + See Also + -------- + shortest_path + all_shortest_paths + single_source_shortest_path + all_pairs_shortest_path + all_pairs_all_shortest_paths + """ + method = "unweighted" if weight is None else method + if method == "unweighted": + pred = nx.predecessor(G, source) + elif method == "dijkstra": + pred, dist = nx.dijkstra_predecessor_and_distance(G, source, weight=weight) + elif method == "bellman-ford": + pred, dist = nx.bellman_ford_predecessor_and_distance(G, source, weight=weight) + else: + raise ValueError(f"method not supported: {method}") + for n in G: + try: + yield n, list(_build_paths_from_predecessors({source}, n, pred)) + except nx.NetworkXNoPath: + pass + + +@nx._dispatchable(edge_attrs="weight") +def all_pairs_all_shortest_paths(G, weight=None, method="dijkstra"): + """Compute all shortest paths between all nodes. + + Parameters + ---------- + G : NetworkX graph + + weight : None, string or function, optional (default = None) + If None, every edge has weight/distance/cost 1. + If a string, use this edge attribute as the edge weight. + Any edge attribute not present defaults to 1. + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly + three positional arguments: the two endpoints of an edge and + the dictionary of edge attributes for that edge. + The function must return a number. + + method : string, optional (default = 'dijkstra') + The algorithm to use to compute the path lengths. + Supported options: 'dijkstra', 'bellman-ford'. + Other inputs produce a ValueError. + If `weight` is None, unweighted graph methods are used, and this + suggestion is ignored. + + Returns + ------- + paths : generator of dictionary + Dictionary of arrays, keyed by source and target, of all shortest paths. + + Raises + ------ + ValueError + If `method` is not among the supported options. + + Examples + -------- + >>> G = nx.cycle_graph(4) + >>> dict(nx.all_pairs_all_shortest_paths(G))[0][2] + [[0, 1, 2], [0, 3, 2]] + >>> dict(nx.all_pairs_all_shortest_paths(G))[0][3] + [[0, 3]] + + Notes + ----- + There may be multiple shortest paths with equal lengths. Unlike + all_pairs_shortest_path, this method returns all shortest paths. + + See Also + -------- + all_pairs_shortest_path + single_source_all_shortest_paths + """ + for n in G: + yield ( + n, + dict(single_source_all_shortest_paths(G, n, weight=weight, method=method)), + ) + + +def _build_paths_from_predecessors(sources, target, pred): + """Compute all simple paths to target, given the predecessors found in + pred, terminating when any source in sources is found. + + Parameters + ---------- + sources : set + Starting nodes for path. + + target : node + Ending node for path. + + pred : dict + A dictionary of predecessor lists, keyed by node + + Returns + ------- + paths : generator of lists + A generator of all paths between source and target. + + Raises + ------ + NetworkXNoPath + If `target` cannot be reached from `source`. + + Notes + ----- + There may be many paths between the sources and target. If there are + cycles among the predecessors, this function will not produce all + possible paths because doing so would produce infinitely many paths + of unbounded length -- instead, we only produce simple paths. + + See Also + -------- + shortest_path + single_source_shortest_path + all_pairs_shortest_path + all_shortest_paths + bellman_ford_path + """ + if target not in pred: + raise nx.NetworkXNoPath(f"Target {target} cannot be reached from given sources") + + seen = {target} + stack = [[target, 0]] + top = 0 + while top >= 0: + node, i = stack[top] + if node in sources: + yield [p for p, n in reversed(stack[: top + 1])] + if len(pred[node]) > i: + stack[top][1] = i + 1 + next = pred[node][i] + if next in seen: + continue + else: + seen.add(next) + top += 1 + if top == len(stack): + stack.append([next, 0]) + else: + stack[top][:] = [next, 0] + else: + seen.discard(node) + top -= 1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_astar.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_astar.py new file mode 100644 index 0000000000000000000000000000000000000000..40a7d4e86e9909a48ae2f3b5c7210bd63a3ae993 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_astar.py @@ -0,0 +1,248 @@ +import pytest + +import networkx as nx +from networkx.utils import pairwise + + +class TestAStar: + @classmethod + def setup_class(cls): + edges = [ + ("s", "u", 10), + ("s", "x", 5), + ("u", "v", 1), + ("u", "x", 2), + ("v", "y", 1), + ("x", "u", 3), + ("x", "v", 5), + ("x", "y", 2), + ("y", "s", 7), + ("y", "v", 6), + ] + cls.XG = nx.DiGraph() + cls.XG.add_weighted_edges_from(edges) + + def test_multiple_optimal_paths(self): + """Tests that A* algorithm finds any of multiple optimal paths""" + heuristic_values = {"a": 1.35, "b": 1.18, "c": 0.67, "d": 0} + + def h(u, v): + return heuristic_values[u] + + graph = nx.Graph() + points = ["a", "b", "c", "d"] + edges = [("a", "b", 0.18), ("a", "c", 0.68), ("b", "c", 0.50), ("c", "d", 0.67)] + + graph.add_nodes_from(points) + graph.add_weighted_edges_from(edges) + + path1 = ["a", "c", "d"] + path2 = ["a", "b", "c", "d"] + assert nx.astar_path(graph, "a", "d", h) in (path1, path2) + + def test_astar_directed(self): + assert nx.astar_path(self.XG, "s", "v") == ["s", "x", "u", "v"] + assert nx.astar_path_length(self.XG, "s", "v") == 9 + + def test_astar_directed_weight_function(self): + w1 = lambda u, v, d: d["weight"] + assert nx.astar_path(self.XG, "x", "u", weight=w1) == ["x", "u"] + assert nx.astar_path_length(self.XG, "x", "u", weight=w1) == 3 + assert nx.astar_path(self.XG, "s", "v", weight=w1) == ["s", "x", "u", "v"] + assert nx.astar_path_length(self.XG, "s", "v", weight=w1) == 9 + + w2 = lambda u, v, d: None if (u, v) == ("x", "u") else d["weight"] + assert nx.astar_path(self.XG, "x", "u", weight=w2) == ["x", "y", "s", "u"] + assert nx.astar_path_length(self.XG, "x", "u", weight=w2) == 19 + assert nx.astar_path(self.XG, "s", "v", weight=w2) == ["s", "x", "v"] + assert nx.astar_path_length(self.XG, "s", "v", weight=w2) == 10 + + w3 = lambda u, v, d: d["weight"] + 10 + assert nx.astar_path(self.XG, "x", "u", weight=w3) == ["x", "u"] + assert nx.astar_path_length(self.XG, "x", "u", weight=w3) == 13 + assert nx.astar_path(self.XG, "s", "v", weight=w3) == ["s", "x", "v"] + assert nx.astar_path_length(self.XG, "s", "v", weight=w3) == 30 + + def test_astar_multigraph(self): + G = nx.MultiDiGraph(self.XG) + G.add_weighted_edges_from((u, v, 1000) for (u, v) in list(G.edges())) + assert nx.astar_path(G, "s", "v") == ["s", "x", "u", "v"] + assert nx.astar_path_length(G, "s", "v") == 9 + + def test_astar_undirected(self): + GG = self.XG.to_undirected() + # make sure we get lower weight + # to_undirected might choose either edge with weight 2 or weight 3 + GG["u"]["x"]["weight"] = 2 + GG["y"]["v"]["weight"] = 2 + assert nx.astar_path(GG, "s", "v") == ["s", "x", "u", "v"] + assert nx.astar_path_length(GG, "s", "v") == 8 + + def test_astar_directed2(self): + XG2 = nx.DiGraph() + edges = [ + (1, 4, 1), + (4, 5, 1), + (5, 6, 1), + (6, 3, 1), + (1, 3, 50), + (1, 2, 100), + (2, 3, 100), + ] + XG2.add_weighted_edges_from(edges) + assert nx.astar_path(XG2, 1, 3) == [1, 4, 5, 6, 3] + + def test_astar_undirected2(self): + XG3 = nx.Graph() + edges = [(0, 1, 2), (1, 2, 12), (2, 3, 1), (3, 4, 5), (4, 5, 1), (5, 0, 10)] + XG3.add_weighted_edges_from(edges) + assert nx.astar_path(XG3, 0, 3) == [0, 1, 2, 3] + assert nx.astar_path_length(XG3, 0, 3) == 15 + + def test_astar_undirected3(self): + XG4 = nx.Graph() + edges = [ + (0, 1, 2), + (1, 2, 2), + (2, 3, 1), + (3, 4, 1), + (4, 5, 1), + (5, 6, 1), + (6, 7, 1), + (7, 0, 1), + ] + XG4.add_weighted_edges_from(edges) + assert nx.astar_path(XG4, 0, 2) == [0, 1, 2] + assert nx.astar_path_length(XG4, 0, 2) == 4 + + """ Tests that A* finds correct path when multiple paths exist + and the best one is not expanded first (GH issue #3464) + """ + + def test_astar_directed3(self): + heuristic_values = {"n5": 36, "n2": 4, "n1": 0, "n0": 0} + + def h(u, v): + return heuristic_values[u] + + edges = [("n5", "n1", 11), ("n5", "n2", 9), ("n2", "n1", 1), ("n1", "n0", 32)] + graph = nx.DiGraph() + graph.add_weighted_edges_from(edges) + answer = ["n5", "n2", "n1", "n0"] + assert nx.astar_path(graph, "n5", "n0", h) == answer + + """ Tests that parent is not wrongly overridden when a node + is re-explored multiple times. + """ + + def test_astar_directed4(self): + edges = [ + ("a", "b", 1), + ("a", "c", 1), + ("b", "d", 2), + ("c", "d", 1), + ("d", "e", 1), + ] + graph = nx.DiGraph() + graph.add_weighted_edges_from(edges) + assert nx.astar_path(graph, "a", "e") == ["a", "c", "d", "e"] + + # >>> MXG4=NX.MultiGraph(XG4) + # >>> MXG4.add_edge(0,1,3) + # >>> NX.dijkstra_path(MXG4,0,2) + # [0, 1, 2] + + def test_astar_w1(self): + G = nx.DiGraph() + G.add_edges_from( + [ + ("s", "u"), + ("s", "x"), + ("u", "v"), + ("u", "x"), + ("v", "y"), + ("x", "u"), + ("x", "w"), + ("w", "v"), + ("x", "y"), + ("y", "s"), + ("y", "v"), + ] + ) + assert nx.astar_path(G, "s", "v") == ["s", "u", "v"] + assert nx.astar_path_length(G, "s", "v") == 2 + + def test_astar_nopath(self): + with pytest.raises(nx.NodeNotFound): + nx.astar_path(self.XG, "s", "moon") + + def test_astar_cutoff(self): + with pytest.raises(nx.NetworkXNoPath): + # optimal path_length in XG is 9 + nx.astar_path(self.XG, "s", "v", cutoff=8.0) + with pytest.raises(nx.NetworkXNoPath): + nx.astar_path_length(self.XG, "s", "v", cutoff=8.0) + + def test_astar_admissible_heuristic_with_cutoff(self): + heuristic_values = {"s": 36, "y": 4, "x": 0, "u": 0, "v": 0} + + def h(u, v): + return heuristic_values[u] + + assert nx.astar_path_length(self.XG, "s", "v") == 9 + assert nx.astar_path_length(self.XG, "s", "v", heuristic=h) == 9 + assert nx.astar_path_length(self.XG, "s", "v", heuristic=h, cutoff=12) == 9 + assert nx.astar_path_length(self.XG, "s", "v", heuristic=h, cutoff=9) == 9 + with pytest.raises(nx.NetworkXNoPath): + nx.astar_path_length(self.XG, "s", "v", heuristic=h, cutoff=8) + + def test_astar_inadmissible_heuristic_with_cutoff(self): + heuristic_values = {"s": 36, "y": 14, "x": 10, "u": 10, "v": 0} + + def h(u, v): + return heuristic_values[u] + + # optimal path_length in XG is 9. This heuristic gives over-estimate. + assert nx.astar_path_length(self.XG, "s", "v", heuristic=h) == 10 + assert nx.astar_path_length(self.XG, "s", "v", heuristic=h, cutoff=15) == 10 + with pytest.raises(nx.NetworkXNoPath): + nx.astar_path_length(self.XG, "s", "v", heuristic=h, cutoff=9) + with pytest.raises(nx.NetworkXNoPath): + nx.astar_path_length(self.XG, "s", "v", heuristic=h, cutoff=12) + + def test_astar_cutoff2(self): + assert nx.astar_path(self.XG, "s", "v", cutoff=10.0) == ["s", "x", "u", "v"] + assert nx.astar_path_length(self.XG, "s", "v") == 9 + + def test_cycle(self): + C = nx.cycle_graph(7) + assert nx.astar_path(C, 0, 3) == [0, 1, 2, 3] + assert nx.dijkstra_path(C, 0, 4) == [0, 6, 5, 4] + + def test_unorderable_nodes(self): + """Tests that A* accommodates nodes that are not orderable. + + For more information, see issue #554. + + """ + # Create the cycle graph on four nodes, with nodes represented + # as (unorderable) Python objects. + nodes = [object() for n in range(4)] + G = nx.Graph() + G.add_edges_from(pairwise(nodes, cyclic=True)) + path = nx.astar_path(G, nodes[0], nodes[2]) + assert len(path) == 3 + + def test_astar_NetworkXNoPath(self): + """Tests that exception is raised when there exists no + path between source and target""" + G = nx.gnp_random_graph(10, 0.2, seed=10) + with pytest.raises(nx.NetworkXNoPath): + nx.astar_path(G, 4, 9) + + def test_astar_NodeNotFound(self): + """Tests that exception is raised when either + source or target is not in graph""" + G = nx.gnp_random_graph(10, 0.2, seed=10) + with pytest.raises(nx.NodeNotFound): + nx.astar_path_length(G, 11, 9) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_dense.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_dense.py new file mode 100644 index 0000000000000000000000000000000000000000..6923bfef856c83bd3e65573b97fe96ff16cdbc71 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_dense.py @@ -0,0 +1,212 @@ +import pytest + +import networkx as nx + + +class TestFloyd: + @classmethod + def setup_class(cls): + pass + + def test_floyd_warshall_predecessor_and_distance(self): + XG = nx.DiGraph() + XG.add_weighted_edges_from( + [ + ("s", "u", 10), + ("s", "x", 5), + ("u", "v", 1), + ("u", "x", 2), + ("v", "y", 1), + ("x", "u", 3), + ("x", "v", 5), + ("x", "y", 2), + ("y", "s", 7), + ("y", "v", 6), + ] + ) + path, dist = nx.floyd_warshall_predecessor_and_distance(XG) + assert dist["s"]["v"] == 9 + assert path["s"]["v"] == "u" + assert dist == { + "y": {"y": 0, "x": 12, "s": 7, "u": 15, "v": 6}, + "x": {"y": 2, "x": 0, "s": 9, "u": 3, "v": 4}, + "s": {"y": 7, "x": 5, "s": 0, "u": 8, "v": 9}, + "u": {"y": 2, "x": 2, "s": 9, "u": 0, "v": 1}, + "v": {"y": 1, "x": 13, "s": 8, "u": 16, "v": 0}, + } + + GG = XG.to_undirected() + # make sure we get lower weight + # to_undirected might choose either edge with weight 2 or weight 3 + GG["u"]["x"]["weight"] = 2 + path, dist = nx.floyd_warshall_predecessor_and_distance(GG) + assert dist["s"]["v"] == 8 + # skip this test, could be alternate path s-u-v + # assert_equal(path['s']['v'],'y') + + G = nx.DiGraph() # no weights + G.add_edges_from( + [ + ("s", "u"), + ("s", "x"), + ("u", "v"), + ("u", "x"), + ("v", "y"), + ("x", "u"), + ("x", "v"), + ("x", "y"), + ("y", "s"), + ("y", "v"), + ] + ) + path, dist = nx.floyd_warshall_predecessor_and_distance(G) + assert dist["s"]["v"] == 2 + # skip this test, could be alternate path s-u-v + # assert_equal(path['s']['v'],'x') + + # alternate interface + dist = nx.floyd_warshall(G) + assert dist["s"]["v"] == 2 + + # floyd_warshall_predecessor_and_distance returns + # dicts-of-defautdicts + # make sure we don't get empty dictionary + XG = nx.DiGraph() + XG.add_weighted_edges_from( + [("v", "x", 5.0), ("y", "x", 5.0), ("v", "y", 6.0), ("x", "u", 2.0)] + ) + path, dist = nx.floyd_warshall_predecessor_and_distance(XG) + inf = float("inf") + assert dist == { + "v": {"v": 0, "x": 5.0, "y": 6.0, "u": 7.0}, + "x": {"x": 0, "u": 2.0, "v": inf, "y": inf}, + "y": {"y": 0, "x": 5.0, "v": inf, "u": 7.0}, + "u": {"u": 0, "v": inf, "x": inf, "y": inf}, + } + assert path == { + "v": {"x": "v", "y": "v", "u": "x"}, + "x": {"u": "x"}, + "y": {"x": "y", "u": "x"}, + } + + def test_reconstruct_path(self): + with pytest.raises(KeyError): + XG = nx.DiGraph() + XG.add_weighted_edges_from( + [ + ("s", "u", 10), + ("s", "x", 5), + ("u", "v", 1), + ("u", "x", 2), + ("v", "y", 1), + ("x", "u", 3), + ("x", "v", 5), + ("x", "y", 2), + ("y", "s", 7), + ("y", "v", 6), + ] + ) + predecessors, _ = nx.floyd_warshall_predecessor_and_distance(XG) + + path = nx.reconstruct_path("s", "v", predecessors) + assert path == ["s", "x", "u", "v"] + + path = nx.reconstruct_path("s", "s", predecessors) + assert path == [] + + # this part raises the keyError + nx.reconstruct_path("1", "2", predecessors) + + def test_cycle(self): + path, dist = nx.floyd_warshall_predecessor_and_distance(nx.cycle_graph(7)) + assert dist[0][3] == 3 + assert path[0][3] == 2 + assert dist[0][4] == 3 + + def test_weighted(self): + XG3 = nx.Graph() + XG3.add_weighted_edges_from( + [[0, 1, 2], [1, 2, 12], [2, 3, 1], [3, 4, 5], [4, 5, 1], [5, 0, 10]] + ) + path, dist = nx.floyd_warshall_predecessor_and_distance(XG3) + assert dist[0][3] == 15 + assert path[0][3] == 2 + + def test_weighted2(self): + XG4 = nx.Graph() + XG4.add_weighted_edges_from( + [ + [0, 1, 2], + [1, 2, 2], + [2, 3, 1], + [3, 4, 1], + [4, 5, 1], + [5, 6, 1], + [6, 7, 1], + [7, 0, 1], + ] + ) + path, dist = nx.floyd_warshall_predecessor_and_distance(XG4) + assert dist[0][2] == 4 + assert path[0][2] == 1 + + def test_weight_parameter(self): + XG4 = nx.Graph() + XG4.add_edges_from( + [ + (0, 1, {"heavy": 2}), + (1, 2, {"heavy": 2}), + (2, 3, {"heavy": 1}), + (3, 4, {"heavy": 1}), + (4, 5, {"heavy": 1}), + (5, 6, {"heavy": 1}), + (6, 7, {"heavy": 1}), + (7, 0, {"heavy": 1}), + ] + ) + path, dist = nx.floyd_warshall_predecessor_and_distance(XG4, weight="heavy") + assert dist[0][2] == 4 + assert path[0][2] == 1 + + def test_zero_distance(self): + XG = nx.DiGraph() + XG.add_weighted_edges_from( + [ + ("s", "u", 10), + ("s", "x", 5), + ("u", "v", 1), + ("u", "x", 2), + ("v", "y", 1), + ("x", "u", 3), + ("x", "v", 5), + ("x", "y", 2), + ("y", "s", 7), + ("y", "v", 6), + ] + ) + path, dist = nx.floyd_warshall_predecessor_and_distance(XG) + + for u in XG: + assert dist[u][u] == 0 + + GG = XG.to_undirected() + # make sure we get lower weight + # to_undirected might choose either edge with weight 2 or weight 3 + GG["u"]["x"]["weight"] = 2 + path, dist = nx.floyd_warshall_predecessor_and_distance(GG) + + for u in GG: + dist[u][u] = 0 + + def test_zero_weight(self): + G = nx.DiGraph() + edges = [(1, 2, -2), (2, 3, -4), (1, 5, 1), (5, 4, 0), (4, 3, -5), (2, 5, -7)] + G.add_weighted_edges_from(edges) + dist = nx.floyd_warshall(G) + assert dist[1][3] == -14 + + G = nx.MultiDiGraph() + edges.append((2, 5, -7)) + G.add_weighted_edges_from(edges) + dist = nx.floyd_warshall(G) + assert dist[1][3] == -14 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_dense_numpy.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_dense_numpy.py new file mode 100644 index 0000000000000000000000000000000000000000..1316e23e654a775e949cdbd34a86a474597f993a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_dense_numpy.py @@ -0,0 +1,89 @@ +import pytest + +np = pytest.importorskip("numpy") + + +import networkx as nx + + +def test_cycle_numpy(): + dist = nx.floyd_warshall_numpy(nx.cycle_graph(7)) + assert dist[0, 3] == 3 + assert dist[0, 4] == 3 + + +def test_weighted_numpy_three_edges(): + XG3 = nx.Graph() + XG3.add_weighted_edges_from( + [[0, 1, 2], [1, 2, 12], [2, 3, 1], [3, 4, 5], [4, 5, 1], [5, 0, 10]] + ) + dist = nx.floyd_warshall_numpy(XG3) + assert dist[0, 3] == 15 + + +def test_weighted_numpy_two_edges(): + XG4 = nx.Graph() + XG4.add_weighted_edges_from( + [ + [0, 1, 2], + [1, 2, 2], + [2, 3, 1], + [3, 4, 1], + [4, 5, 1], + [5, 6, 1], + [6, 7, 1], + [7, 0, 1], + ] + ) + dist = nx.floyd_warshall_numpy(XG4) + assert dist[0, 2] == 4 + + +def test_weight_parameter_numpy(): + XG4 = nx.Graph() + XG4.add_edges_from( + [ + (0, 1, {"heavy": 2}), + (1, 2, {"heavy": 2}), + (2, 3, {"heavy": 1}), + (3, 4, {"heavy": 1}), + (4, 5, {"heavy": 1}), + (5, 6, {"heavy": 1}), + (6, 7, {"heavy": 1}), + (7, 0, {"heavy": 1}), + ] + ) + dist = nx.floyd_warshall_numpy(XG4, weight="heavy") + assert dist[0, 2] == 4 + + +def test_directed_cycle_numpy(): + G = nx.DiGraph() + nx.add_cycle(G, [0, 1, 2, 3]) + pred, dist = nx.floyd_warshall_predecessor_and_distance(G) + D = nx.utils.dict_to_numpy_array(dist) + np.testing.assert_equal(nx.floyd_warshall_numpy(G), D) + + +def test_zero_weight(): + G = nx.DiGraph() + edges = [(1, 2, -2), (2, 3, -4), (1, 5, 1), (5, 4, 0), (4, 3, -5), (2, 5, -7)] + G.add_weighted_edges_from(edges) + dist = nx.floyd_warshall_numpy(G) + assert int(np.min(dist)) == -14 + + G = nx.MultiDiGraph() + edges.append((2, 5, -7)) + G.add_weighted_edges_from(edges) + dist = nx.floyd_warshall_numpy(G) + assert int(np.min(dist)) == -14 + + +def test_nodelist(): + G = nx.path_graph(7) + dist = nx.floyd_warshall_numpy(G, nodelist=[3, 5, 4, 6, 2, 1, 0]) + assert dist[0, 3] == 3 + assert dist[0, 1] == 2 + assert dist[6, 2] == 4 + pytest.raises(nx.NetworkXError, nx.floyd_warshall_numpy, G, [1, 3]) + pytest.raises(nx.NetworkXError, nx.floyd_warshall_numpy, G, list(range(9))) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_generic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_generic.py new file mode 100644 index 0000000000000000000000000000000000000000..e30de51771eb8654b9f31c283306b207d80e8bce --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_generic.py @@ -0,0 +1,450 @@ +import pytest + +import networkx as nx + + +def validate_grid_path(r, c, s, t, p): + assert isinstance(p, list) + assert p[0] == s + assert p[-1] == t + s = ((s - 1) // c, (s - 1) % c) + t = ((t - 1) // c, (t - 1) % c) + assert len(p) == abs(t[0] - s[0]) + abs(t[1] - s[1]) + 1 + p = [((u - 1) // c, (u - 1) % c) for u in p] + for u in p: + assert 0 <= u[0] < r + assert 0 <= u[1] < c + for u, v in zip(p[:-1], p[1:]): + assert (abs(v[0] - u[0]), abs(v[1] - u[1])) in [(0, 1), (1, 0)] + + +class TestGenericPath: + @classmethod + def setup_class(cls): + from networkx import convert_node_labels_to_integers as cnlti + + cls.grid = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") + cls.cycle = nx.cycle_graph(7) + cls.directed_cycle = nx.cycle_graph(7, create_using=nx.DiGraph()) + cls.neg_weights = nx.DiGraph() + cls.neg_weights.add_edge(0, 1, weight=1) + cls.neg_weights.add_edge(0, 2, weight=3) + cls.neg_weights.add_edge(1, 3, weight=1) + cls.neg_weights.add_edge(2, 3, weight=-2) + + def test_shortest_path(self): + assert nx.shortest_path(self.cycle, 0, 3) == [0, 1, 2, 3] + assert nx.shortest_path(self.cycle, 0, 4) == [0, 6, 5, 4] + validate_grid_path(4, 4, 1, 12, nx.shortest_path(self.grid, 1, 12)) + assert nx.shortest_path(self.directed_cycle, 0, 3) == [0, 1, 2, 3] + # now with weights + assert nx.shortest_path(self.cycle, 0, 3, weight="weight") == [0, 1, 2, 3] + assert nx.shortest_path(self.cycle, 0, 4, weight="weight") == [0, 6, 5, 4] + validate_grid_path( + 4, 4, 1, 12, nx.shortest_path(self.grid, 1, 12, weight="weight") + ) + assert nx.shortest_path(self.directed_cycle, 0, 3, weight="weight") == [ + 0, + 1, + 2, + 3, + ] + # weights and method specified + assert nx.shortest_path( + self.directed_cycle, 0, 3, weight="weight", method="dijkstra" + ) == [0, 1, 2, 3] + assert nx.shortest_path( + self.directed_cycle, 0, 3, weight="weight", method="bellman-ford" + ) == [0, 1, 2, 3] + # when Dijkstra's will probably (depending on precise implementation) + # incorrectly return [0, 1, 3] instead + assert nx.shortest_path( + self.neg_weights, 0, 3, weight="weight", method="bellman-ford" + ) == [0, 2, 3] + # confirm bad method rejection + pytest.raises(ValueError, nx.shortest_path, self.cycle, method="SPAM") + # confirm absent source rejection + pytest.raises(nx.NodeNotFound, nx.shortest_path, self.cycle, 8) + + def test_shortest_path_target(self): + answer = {0: [0, 1], 1: [1], 2: [2, 1]} + sp = nx.shortest_path(nx.path_graph(3), target=1) + assert sp == answer + # with weights + sp = nx.shortest_path(nx.path_graph(3), target=1, weight="weight") + assert sp == answer + # weights and method specified + sp = nx.shortest_path( + nx.path_graph(3), target=1, weight="weight", method="dijkstra" + ) + assert sp == answer + sp = nx.shortest_path( + nx.path_graph(3), target=1, weight="weight", method="bellman-ford" + ) + assert sp == answer + + def test_shortest_path_length(self): + assert nx.shortest_path_length(self.cycle, 0, 3) == 3 + assert nx.shortest_path_length(self.grid, 1, 12) == 5 + assert nx.shortest_path_length(self.directed_cycle, 0, 4) == 4 + # now with weights + assert nx.shortest_path_length(self.cycle, 0, 3, weight="weight") == 3 + assert nx.shortest_path_length(self.grid, 1, 12, weight="weight") == 5 + assert nx.shortest_path_length(self.directed_cycle, 0, 4, weight="weight") == 4 + # weights and method specified + assert ( + nx.shortest_path_length( + self.cycle, 0, 3, weight="weight", method="dijkstra" + ) + == 3 + ) + assert ( + nx.shortest_path_length( + self.cycle, 0, 3, weight="weight", method="bellman-ford" + ) + == 3 + ) + # confirm bad method rejection + pytest.raises(ValueError, nx.shortest_path_length, self.cycle, method="SPAM") + # confirm absent source rejection + pytest.raises(nx.NodeNotFound, nx.shortest_path_length, self.cycle, 8) + + def test_shortest_path_length_target(self): + answer = {0: 1, 1: 0, 2: 1} + sp = dict(nx.shortest_path_length(nx.path_graph(3), target=1)) + assert sp == answer + # with weights + sp = nx.shortest_path_length(nx.path_graph(3), target=1, weight="weight") + assert sp == answer + # weights and method specified + sp = nx.shortest_path_length( + nx.path_graph(3), target=1, weight="weight", method="dijkstra" + ) + assert sp == answer + sp = nx.shortest_path_length( + nx.path_graph(3), target=1, weight="weight", method="bellman-ford" + ) + assert sp == answer + + def test_single_source_shortest_path(self): + p = nx.shortest_path(self.cycle, 0) + assert p[3] == [0, 1, 2, 3] + assert p == nx.single_source_shortest_path(self.cycle, 0) + p = nx.shortest_path(self.grid, 1) + validate_grid_path(4, 4, 1, 12, p[12]) + # now with weights + p = nx.shortest_path(self.cycle, 0, weight="weight") + assert p[3] == [0, 1, 2, 3] + assert p == nx.single_source_dijkstra_path(self.cycle, 0) + p = nx.shortest_path(self.grid, 1, weight="weight") + validate_grid_path(4, 4, 1, 12, p[12]) + # weights and method specified + p = nx.shortest_path(self.cycle, 0, method="dijkstra", weight="weight") + assert p[3] == [0, 1, 2, 3] + assert p == nx.single_source_shortest_path(self.cycle, 0) + p = nx.shortest_path(self.cycle, 0, method="bellman-ford", weight="weight") + assert p[3] == [0, 1, 2, 3] + assert p == nx.single_source_shortest_path(self.cycle, 0) + + def test_single_source_shortest_path_length(self): + ans = dict(nx.shortest_path_length(self.cycle, 0)) + assert ans == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.single_source_shortest_path_length(self.cycle, 0)) + ans = dict(nx.shortest_path_length(self.grid, 1)) + assert ans[16] == 6 + # now with weights + ans = dict(nx.shortest_path_length(self.cycle, 0, weight="weight")) + assert ans == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.single_source_dijkstra_path_length(self.cycle, 0)) + ans = dict(nx.shortest_path_length(self.grid, 1, weight="weight")) + assert ans[16] == 6 + # weights and method specified + ans = dict( + nx.shortest_path_length(self.cycle, 0, weight="weight", method="dijkstra") + ) + assert ans == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.single_source_dijkstra_path_length(self.cycle, 0)) + ans = dict( + nx.shortest_path_length( + self.cycle, 0, weight="weight", method="bellman-ford" + ) + ) + assert ans == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.single_source_bellman_ford_path_length(self.cycle, 0)) + + def test_single_source_all_shortest_paths(self): + cycle_ans = {0: [[0]], 1: [[0, 1]], 2: [[0, 1, 2], [0, 3, 2]], 3: [[0, 3]]} + ans = dict(nx.single_source_all_shortest_paths(nx.cycle_graph(4), 0)) + assert sorted(ans[2]) == cycle_ans[2] + ans = dict(nx.single_source_all_shortest_paths(self.grid, 1)) + grid_ans = [ + [1, 2, 3, 7, 11], + [1, 2, 6, 7, 11], + [1, 2, 6, 10, 11], + [1, 5, 6, 7, 11], + [1, 5, 6, 10, 11], + [1, 5, 9, 10, 11], + ] + assert sorted(ans[11]) == grid_ans + ans = dict( + nx.single_source_all_shortest_paths(nx.cycle_graph(4), 0, weight="weight") + ) + assert sorted(ans[2]) == cycle_ans[2] + ans = dict( + nx.single_source_all_shortest_paths( + nx.cycle_graph(4), 0, method="bellman-ford", weight="weight" + ) + ) + assert sorted(ans[2]) == cycle_ans[2] + ans = dict(nx.single_source_all_shortest_paths(self.grid, 1, weight="weight")) + assert sorted(ans[11]) == grid_ans + ans = dict( + nx.single_source_all_shortest_paths( + self.grid, 1, method="bellman-ford", weight="weight" + ) + ) + assert sorted(ans[11]) == grid_ans + G = nx.cycle_graph(4) + G.add_node(4) + ans = dict(nx.single_source_all_shortest_paths(G, 0)) + assert sorted(ans[2]) == [[0, 1, 2], [0, 3, 2]] + ans = dict(nx.single_source_all_shortest_paths(G, 4)) + assert sorted(ans[4]) == [[4]] + + def test_all_pairs_shortest_path(self): + # shortest_path w/o source and target will return a generator instead of + # a dict beginning in version 3.5. Only the first call needs changed here. + p = nx.shortest_path(self.cycle) + assert p[0][3] == [0, 1, 2, 3] + assert p == dict(nx.all_pairs_shortest_path(self.cycle)) + p = dict(nx.shortest_path(self.grid)) + validate_grid_path(4, 4, 1, 12, p[1][12]) + # now with weights + p = dict(nx.shortest_path(self.cycle, weight="weight")) + assert p[0][3] == [0, 1, 2, 3] + assert p == dict(nx.all_pairs_dijkstra_path(self.cycle)) + p = dict(nx.shortest_path(self.grid, weight="weight")) + validate_grid_path(4, 4, 1, 12, p[1][12]) + # weights and method specified + p = dict(nx.shortest_path(self.cycle, weight="weight", method="dijkstra")) + assert p[0][3] == [0, 1, 2, 3] + assert p == dict(nx.all_pairs_dijkstra_path(self.cycle)) + p = dict(nx.shortest_path(self.cycle, weight="weight", method="bellman-ford")) + assert p[0][3] == [0, 1, 2, 3] + assert p == dict(nx.all_pairs_bellman_ford_path(self.cycle)) + + def test_all_pairs_shortest_path_length(self): + ans = dict(nx.shortest_path_length(self.cycle)) + assert ans[0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.all_pairs_shortest_path_length(self.cycle)) + ans = dict(nx.shortest_path_length(self.grid)) + assert ans[1][16] == 6 + # now with weights + ans = dict(nx.shortest_path_length(self.cycle, weight="weight")) + assert ans[0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.all_pairs_dijkstra_path_length(self.cycle)) + ans = dict(nx.shortest_path_length(self.grid, weight="weight")) + assert ans[1][16] == 6 + # weights and method specified + ans = dict( + nx.shortest_path_length(self.cycle, weight="weight", method="dijkstra") + ) + assert ans[0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.all_pairs_dijkstra_path_length(self.cycle)) + ans = dict( + nx.shortest_path_length(self.cycle, weight="weight", method="bellman-ford") + ) + assert ans[0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert ans == dict(nx.all_pairs_bellman_ford_path_length(self.cycle)) + + def test_all_pairs_all_shortest_paths(self): + ans = dict(nx.all_pairs_all_shortest_paths(nx.cycle_graph(4))) + assert sorted(ans[1][3]) == [[1, 0, 3], [1, 2, 3]] + ans = dict(nx.all_pairs_all_shortest_paths(nx.cycle_graph(4)), weight="weight") + assert sorted(ans[1][3]) == [[1, 0, 3], [1, 2, 3]] + ans = dict( + nx.all_pairs_all_shortest_paths(nx.cycle_graph(4)), + method="bellman-ford", + weight="weight", + ) + assert sorted(ans[1][3]) == [[1, 0, 3], [1, 2, 3]] + G = nx.cycle_graph(4) + G.add_node(4) + ans = dict(nx.all_pairs_all_shortest_paths(G)) + assert sorted(ans[4][4]) == [[4]] + + def test_has_path(self): + G = nx.Graph() + nx.add_path(G, range(3)) + nx.add_path(G, range(3, 5)) + assert nx.has_path(G, 0, 2) + assert not nx.has_path(G, 0, 4) + + def test_has_path_singleton(self): + G = nx.empty_graph(1) + assert nx.has_path(G, 0, 0) + + def test_all_shortest_paths(self): + G = nx.Graph() + nx.add_path(G, [0, 1, 2, 3]) + nx.add_path(G, [0, 10, 20, 3]) + assert [[0, 1, 2, 3], [0, 10, 20, 3]] == sorted(nx.all_shortest_paths(G, 0, 3)) + # with weights + G = nx.Graph() + nx.add_path(G, [0, 1, 2, 3]) + nx.add_path(G, [0, 10, 20, 3]) + assert [[0, 1, 2, 3], [0, 10, 20, 3]] == sorted( + nx.all_shortest_paths(G, 0, 3, weight="weight") + ) + # weights and method specified + G = nx.Graph() + nx.add_path(G, [0, 1, 2, 3]) + nx.add_path(G, [0, 10, 20, 3]) + assert [[0, 1, 2, 3], [0, 10, 20, 3]] == sorted( + nx.all_shortest_paths(G, 0, 3, weight="weight", method="dijkstra") + ) + G = nx.Graph() + nx.add_path(G, [0, 1, 2, 3]) + nx.add_path(G, [0, 10, 20, 3]) + assert [[0, 1, 2, 3], [0, 10, 20, 3]] == sorted( + nx.all_shortest_paths(G, 0, 3, weight="weight", method="bellman-ford") + ) + + def test_all_shortest_paths_raise(self): + with pytest.raises(nx.NetworkXNoPath): + G = nx.path_graph(4) + G.add_node(4) + list(nx.all_shortest_paths(G, 0, 4)) + + def test_bad_method(self): + with pytest.raises(ValueError): + G = nx.path_graph(2) + list(nx.all_shortest_paths(G, 0, 1, weight="weight", method="SPAM")) + + def test_single_source_all_shortest_paths_bad_method(self): + with pytest.raises(ValueError): + G = nx.path_graph(2) + dict( + nx.single_source_all_shortest_paths( + G, 0, weight="weight", method="SPAM" + ) + ) + + def test_all_shortest_paths_zero_weight_edge(self): + g = nx.Graph() + nx.add_path(g, [0, 1, 3]) + nx.add_path(g, [0, 1, 2, 3]) + g.edges[1, 2]["weight"] = 0 + paths30d = list( + nx.all_shortest_paths(g, 3, 0, weight="weight", method="dijkstra") + ) + paths03d = list( + nx.all_shortest_paths(g, 0, 3, weight="weight", method="dijkstra") + ) + paths30b = list( + nx.all_shortest_paths(g, 3, 0, weight="weight", method="bellman-ford") + ) + paths03b = list( + nx.all_shortest_paths(g, 0, 3, weight="weight", method="bellman-ford") + ) + assert sorted(paths03d) == sorted(p[::-1] for p in paths30d) + assert sorted(paths03d) == sorted(p[::-1] for p in paths30b) + assert sorted(paths03b) == sorted(p[::-1] for p in paths30b) + + +class TestAverageShortestPathLength: + def test_cycle_graph(self): + ans = nx.average_shortest_path_length(nx.cycle_graph(7)) + assert ans == pytest.approx(2, abs=1e-7) + + def test_path_graph(self): + ans = nx.average_shortest_path_length(nx.path_graph(5)) + assert ans == pytest.approx(2, abs=1e-7) + + def test_weighted(self): + G = nx.Graph() + nx.add_cycle(G, range(7), weight=2) + ans = nx.average_shortest_path_length(G, weight="weight") + assert ans == pytest.approx(4, abs=1e-7) + G = nx.Graph() + nx.add_path(G, range(5), weight=2) + ans = nx.average_shortest_path_length(G, weight="weight") + assert ans == pytest.approx(4, abs=1e-7) + + def test_specified_methods(self): + G = nx.Graph() + nx.add_cycle(G, range(7), weight=2) + ans = nx.average_shortest_path_length(G, weight="weight", method="dijkstra") + assert ans == pytest.approx(4, abs=1e-7) + ans = nx.average_shortest_path_length(G, weight="weight", method="bellman-ford") + assert ans == pytest.approx(4, abs=1e-7) + ans = nx.average_shortest_path_length( + G, weight="weight", method="floyd-warshall" + ) + assert ans == pytest.approx(4, abs=1e-7) + + G = nx.Graph() + nx.add_path(G, range(5), weight=2) + ans = nx.average_shortest_path_length(G, weight="weight", method="dijkstra") + assert ans == pytest.approx(4, abs=1e-7) + ans = nx.average_shortest_path_length(G, weight="weight", method="bellman-ford") + assert ans == pytest.approx(4, abs=1e-7) + ans = nx.average_shortest_path_length( + G, weight="weight", method="floyd-warshall" + ) + assert ans == pytest.approx(4, abs=1e-7) + + def test_directed_not_strongly_connected(self): + G = nx.DiGraph([(0, 1)]) + with pytest.raises(nx.NetworkXError, match="Graph is not strongly connected"): + nx.average_shortest_path_length(G) + + def test_undirected_not_connected(self): + g = nx.Graph() + g.add_nodes_from(range(3)) + g.add_edge(0, 1) + pytest.raises(nx.NetworkXError, nx.average_shortest_path_length, g) + + def test_trivial_graph(self): + """Tests that the trivial graph has average path length zero, + since there is exactly one path of length zero in the trivial + graph. + + For more information, see issue #1960. + + """ + G = nx.trivial_graph() + assert nx.average_shortest_path_length(G) == 0 + + def test_null_graph(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.average_shortest_path_length(nx.null_graph()) + + def test_bad_method(self): + with pytest.raises(ValueError): + G = nx.path_graph(2) + nx.average_shortest_path_length(G, weight="weight", method="SPAM") + + +class TestAverageShortestPathLengthNumpy: + @classmethod + def setup_class(cls): + global np + import pytest + + np = pytest.importorskip("numpy") + + def test_specified_methods_numpy(self): + G = nx.Graph() + nx.add_cycle(G, range(7), weight=2) + ans = nx.average_shortest_path_length( + G, weight="weight", method="floyd-warshall-numpy" + ) + np.testing.assert_almost_equal(ans, 4) + + G = nx.Graph() + nx.add_path(G, range(5), weight=2) + ans = nx.average_shortest_path_length( + G, weight="weight", method="floyd-warshall-numpy" + ) + np.testing.assert_almost_equal(ans, 4) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_unweighted.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_unweighted.py new file mode 100644 index 0000000000000000000000000000000000000000..f09c8b104266afee86db0836a60cb30ff96e0bb1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_unweighted.py @@ -0,0 +1,149 @@ +import pytest + +import networkx as nx + + +def validate_grid_path(r, c, s, t, p): + assert isinstance(p, list) + assert p[0] == s + assert p[-1] == t + s = ((s - 1) // c, (s - 1) % c) + t = ((t - 1) // c, (t - 1) % c) + assert len(p) == abs(t[0] - s[0]) + abs(t[1] - s[1]) + 1 + p = [((u - 1) // c, (u - 1) % c) for u in p] + for u in p: + assert 0 <= u[0] < r + assert 0 <= u[1] < c + for u, v in zip(p[:-1], p[1:]): + assert (abs(v[0] - u[0]), abs(v[1] - u[1])) in [(0, 1), (1, 0)] + + +class TestUnweightedPath: + @classmethod + def setup_class(cls): + from networkx import convert_node_labels_to_integers as cnlti + + cls.grid = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") + cls.cycle = nx.cycle_graph(7) + cls.directed_cycle = nx.cycle_graph(7, create_using=nx.DiGraph()) + + def test_bidirectional_shortest_path(self): + assert nx.bidirectional_shortest_path(self.cycle, 0, 3) == [0, 1, 2, 3] + assert nx.bidirectional_shortest_path(self.cycle, 0, 4) == [0, 6, 5, 4] + validate_grid_path( + 4, 4, 1, 12, nx.bidirectional_shortest_path(self.grid, 1, 12) + ) + assert nx.bidirectional_shortest_path(self.directed_cycle, 0, 3) == [0, 1, 2, 3] + # test source = target + assert nx.bidirectional_shortest_path(self.cycle, 3, 3) == [3] + + @pytest.mark.parametrize( + ("src", "tgt"), + ( + (8, 3), # source not in graph + (3, 8), # target not in graph + (8, 10), # neither source nor target in graph + (8, 8), # src == tgt, neither in graph - tests order of input checks + ), + ) + def test_bidirectional_shortest_path_src_tgt_not_in_graph(self, src, tgt): + with pytest.raises( + nx.NodeNotFound, + match=f"(Source {src}|Target {tgt}) is not in G", + ): + nx.bidirectional_shortest_path(self.cycle, src, tgt) + + def test_shortest_path_length(self): + assert nx.shortest_path_length(self.cycle, 0, 3) == 3 + assert nx.shortest_path_length(self.grid, 1, 12) == 5 + assert nx.shortest_path_length(self.directed_cycle, 0, 4) == 4 + # now with weights + assert nx.shortest_path_length(self.cycle, 0, 3, weight=True) == 3 + assert nx.shortest_path_length(self.grid, 1, 12, weight=True) == 5 + assert nx.shortest_path_length(self.directed_cycle, 0, 4, weight=True) == 4 + + def test_single_source_shortest_path(self): + p = nx.single_source_shortest_path(self.directed_cycle, 3) + assert p[0] == [3, 4, 5, 6, 0] + p = nx.single_source_shortest_path(self.cycle, 0) + assert p[3] == [0, 1, 2, 3] + p = nx.single_source_shortest_path(self.cycle, 0, cutoff=0) + assert p == {0: [0]} + + def test_single_source_shortest_path_length(self): + pl = nx.single_source_shortest_path_length + lengths = {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert dict(pl(self.cycle, 0)) == lengths + lengths = {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6} + assert dict(pl(self.directed_cycle, 0)) == lengths + + def test_single_target_shortest_path(self): + p = nx.single_target_shortest_path(self.directed_cycle, 0) + assert p[3] == [3, 4, 5, 6, 0] + p = nx.single_target_shortest_path(self.cycle, 0) + assert p[3] == [3, 2, 1, 0] + p = nx.single_target_shortest_path(self.cycle, 0, cutoff=0) + assert p == {0: [0]} + # test missing targets + target = 8 + with pytest.raises(nx.NodeNotFound, match=f"Target {target} not in G"): + nx.single_target_shortest_path(self.cycle, target) + + def test_single_target_shortest_path_length(self): + pl = nx.single_target_shortest_path_length + lengths = {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert dict(pl(self.cycle, 0)) == lengths + lengths = {0: 0, 1: 6, 2: 5, 3: 4, 4: 3, 5: 2, 6: 1} + assert dict(pl(self.directed_cycle, 0)) == lengths + # test missing targets + target = 8 + with pytest.raises(nx.NodeNotFound, match=f"Target {target} is not in G"): + nx.single_target_shortest_path_length(self.cycle, target) + + def test_all_pairs_shortest_path(self): + p = dict(nx.all_pairs_shortest_path(self.cycle)) + assert p[0][3] == [0, 1, 2, 3] + p = dict(nx.all_pairs_shortest_path(self.grid)) + validate_grid_path(4, 4, 1, 12, p[1][12]) + + def test_all_pairs_shortest_path_length(self): + l = dict(nx.all_pairs_shortest_path_length(self.cycle)) + assert l[0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + l = dict(nx.all_pairs_shortest_path_length(self.grid)) + assert l[1][16] == 6 + + def test_predecessor_path(self): + G = nx.path_graph(4) + assert nx.predecessor(G, 0) == {0: [], 1: [0], 2: [1], 3: [2]} + assert nx.predecessor(G, 0, 3) == [2] + + def test_predecessor_cycle(self): + G = nx.cycle_graph(4) + pred = nx.predecessor(G, 0) + assert pred[0] == [] + assert pred[1] == [0] + assert pred[2] in [[1, 3], [3, 1]] + assert pred[3] == [0] + + def test_predecessor_cutoff(self): + G = nx.path_graph(4) + p = nx.predecessor(G, 0, 3) + assert 4 not in p + + def test_predecessor_target(self): + G = nx.path_graph(4) + p = nx.predecessor(G, 0, 3) + assert p == [2] + p = nx.predecessor(G, 0, 3, cutoff=2) + assert p == [] + p, s = nx.predecessor(G, 0, 3, return_seen=True) + assert p == [2] + assert s == 3 + p, s = nx.predecessor(G, 0, 3, cutoff=2, return_seen=True) + assert p == [] + assert s == -1 + + def test_predecessor_missing_source(self): + source = 8 + with pytest.raises(nx.NodeNotFound, match=f"Source {source} not in G"): + nx.predecessor(self.cycle, source) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_weighted.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_weighted.py new file mode 100644 index 0000000000000000000000000000000000000000..dc88572d3571f7d94015b12d9ab870aee316516f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/tests/test_weighted.py @@ -0,0 +1,972 @@ +import pytest + +import networkx as nx +from networkx.utils import pairwise + + +def validate_path(G, s, t, soln_len, path, weight="weight"): + assert path[0] == s + assert path[-1] == t + + if callable(weight): + weight_f = weight + else: + if G.is_multigraph(): + + def weight_f(u, v, d): + return min(e.get(weight, 1) for e in d.values()) + + else: + + def weight_f(u, v, d): + return d.get(weight, 1) + + computed = sum(weight_f(u, v, G[u][v]) for u, v in pairwise(path)) + assert soln_len == computed + + +def validate_length_path(G, s, t, soln_len, length, path, weight="weight"): + assert soln_len == length + validate_path(G, s, t, length, path, weight=weight) + + +class WeightedTestBase: + """Base class for test classes that test functions for computing + shortest paths in weighted graphs. + + """ + + def setup_method(self): + """Creates some graphs for use in the unit tests.""" + cnlti = nx.convert_node_labels_to_integers + self.grid = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") + self.cycle = nx.cycle_graph(7) + self.directed_cycle = nx.cycle_graph(7, create_using=nx.DiGraph()) + self.XG = nx.DiGraph() + self.XG.add_weighted_edges_from( + [ + ("s", "u", 10), + ("s", "x", 5), + ("u", "v", 1), + ("u", "x", 2), + ("v", "y", 1), + ("x", "u", 3), + ("x", "v", 5), + ("x", "y", 2), + ("y", "s", 7), + ("y", "v", 6), + ] + ) + self.MXG = nx.MultiDiGraph(self.XG) + self.MXG.add_edge("s", "u", weight=15) + self.XG2 = nx.DiGraph() + self.XG2.add_weighted_edges_from( + [ + [1, 4, 1], + [4, 5, 1], + [5, 6, 1], + [6, 3, 1], + [1, 3, 50], + [1, 2, 100], + [2, 3, 100], + ] + ) + + self.XG3 = nx.Graph() + self.XG3.add_weighted_edges_from( + [[0, 1, 2], [1, 2, 12], [2, 3, 1], [3, 4, 5], [4, 5, 1], [5, 0, 10]] + ) + + self.XG4 = nx.Graph() + self.XG4.add_weighted_edges_from( + [ + [0, 1, 2], + [1, 2, 2], + [2, 3, 1], + [3, 4, 1], + [4, 5, 1], + [5, 6, 1], + [6, 7, 1], + [7, 0, 1], + ] + ) + self.MXG4 = nx.MultiGraph(self.XG4) + self.MXG4.add_edge(0, 1, weight=3) + self.G = nx.DiGraph() # no weights + self.G.add_edges_from( + [ + ("s", "u"), + ("s", "x"), + ("u", "v"), + ("u", "x"), + ("v", "y"), + ("x", "u"), + ("x", "v"), + ("x", "y"), + ("y", "s"), + ("y", "v"), + ] + ) + + +class TestWeightedPath(WeightedTestBase): + def test_dijkstra(self): + (D, P) = nx.single_source_dijkstra(self.XG, "s") + validate_path(self.XG, "s", "v", 9, P["v"]) + assert D["v"] == 9 + + validate_path( + self.XG, "s", "v", 9, nx.single_source_dijkstra_path(self.XG, "s")["v"] + ) + assert dict(nx.single_source_dijkstra_path_length(self.XG, "s"))["v"] == 9 + + validate_path( + self.XG, "s", "v", 9, nx.single_source_dijkstra(self.XG, "s")[1]["v"] + ) + validate_path( + self.MXG, "s", "v", 9, nx.single_source_dijkstra_path(self.MXG, "s")["v"] + ) + + GG = self.XG.to_undirected() + # make sure we get lower weight + # to_undirected might choose either edge with weight 2 or weight 3 + GG["u"]["x"]["weight"] = 2 + (D, P) = nx.single_source_dijkstra(GG, "s") + validate_path(GG, "s", "v", 8, P["v"]) + assert D["v"] == 8 # uses lower weight of 2 on u<->x edge + validate_path(GG, "s", "v", 8, nx.dijkstra_path(GG, "s", "v")) + assert nx.dijkstra_path_length(GG, "s", "v") == 8 + + validate_path(self.XG2, 1, 3, 4, nx.dijkstra_path(self.XG2, 1, 3)) + validate_path(self.XG3, 0, 3, 15, nx.dijkstra_path(self.XG3, 0, 3)) + assert nx.dijkstra_path_length(self.XG3, 0, 3) == 15 + validate_path(self.XG4, 0, 2, 4, nx.dijkstra_path(self.XG4, 0, 2)) + assert nx.dijkstra_path_length(self.XG4, 0, 2) == 4 + validate_path(self.MXG4, 0, 2, 4, nx.dijkstra_path(self.MXG4, 0, 2)) + validate_path( + self.G, "s", "v", 2, nx.single_source_dijkstra(self.G, "s", "v")[1] + ) + validate_path( + self.G, "s", "v", 2, nx.single_source_dijkstra(self.G, "s")[1]["v"] + ) + + validate_path(self.G, "s", "v", 2, nx.dijkstra_path(self.G, "s", "v")) + assert nx.dijkstra_path_length(self.G, "s", "v") == 2 + + # NetworkXError: node s not reachable from moon + pytest.raises(nx.NetworkXNoPath, nx.dijkstra_path, self.G, "s", "moon") + pytest.raises(nx.NetworkXNoPath, nx.dijkstra_path_length, self.G, "s", "moon") + + validate_path(self.cycle, 0, 3, 3, nx.dijkstra_path(self.cycle, 0, 3)) + validate_path(self.cycle, 0, 4, 3, nx.dijkstra_path(self.cycle, 0, 4)) + + assert nx.single_source_dijkstra(self.cycle, 0, 0) == (0, [0]) + + def test_bidirectional_dijkstra(self): + validate_length_path( + self.XG, "s", "v", 9, *nx.bidirectional_dijkstra(self.XG, "s", "v") + ) + validate_length_path( + self.G, "s", "v", 2, *nx.bidirectional_dijkstra(self.G, "s", "v") + ) + validate_length_path( + self.cycle, 0, 3, 3, *nx.bidirectional_dijkstra(self.cycle, 0, 3) + ) + validate_length_path( + self.cycle, 0, 4, 3, *nx.bidirectional_dijkstra(self.cycle, 0, 4) + ) + validate_length_path( + self.XG3, 0, 3, 15, *nx.bidirectional_dijkstra(self.XG3, 0, 3) + ) + validate_length_path( + self.XG4, 0, 2, 4, *nx.bidirectional_dijkstra(self.XG4, 0, 2) + ) + + # need more tests here + P = nx.single_source_dijkstra_path(self.XG, "s")["v"] + validate_path( + self.XG, + "s", + "v", + sum(self.XG[u][v]["weight"] for u, v in zip(P[:-1], P[1:])), + nx.dijkstra_path(self.XG, "s", "v"), + ) + + # check absent source + G = nx.path_graph(2) + pytest.raises(nx.NodeNotFound, nx.bidirectional_dijkstra, G, 3, 0) + + def test_weight_functions(self): + def heuristic(*z): + return sum(val**2 for val in z) + + def getpath(pred, v, s): + return [v] if v == s else getpath(pred, pred[v], s) + [v] + + def goldberg_radzik(g, s, t, weight="weight"): + pred, dist = nx.goldberg_radzik(g, s, weight=weight) + dist = dist[t] + return dist, getpath(pred, t, s) + + def astar(g, s, t, weight="weight"): + path = nx.astar_path(g, s, t, heuristic, weight=weight) + dist = nx.astar_path_length(g, s, t, heuristic, weight=weight) + return dist, path + + def vlp(G, s, t, l, F, w): + res = F(G, s, t, weight=w) + validate_length_path(G, s, t, l, *res, weight=w) + + G = self.cycle + s = 6 + t = 4 + path = [6] + list(range(t + 1)) + + def weight(u, v, _): + return 1 + v**2 + + length = sum(weight(u, v, None) for u, v in pairwise(path)) + vlp(G, s, t, length, nx.bidirectional_dijkstra, weight) + vlp(G, s, t, length, nx.single_source_dijkstra, weight) + vlp(G, s, t, length, nx.single_source_bellman_ford, weight) + vlp(G, s, t, length, goldberg_radzik, weight) + vlp(G, s, t, length, astar, weight) + + def weight(u, v, _): + return 2 ** (u * v) + + length = sum(weight(u, v, None) for u, v in pairwise(path)) + vlp(G, s, t, length, nx.bidirectional_dijkstra, weight) + vlp(G, s, t, length, nx.single_source_dijkstra, weight) + vlp(G, s, t, length, nx.single_source_bellman_ford, weight) + vlp(G, s, t, length, goldberg_radzik, weight) + vlp(G, s, t, length, astar, weight) + + def test_bidirectional_dijkstra_no_path(self): + with pytest.raises(nx.NetworkXNoPath): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + nx.add_path(G, [4, 5, 6]) + path = nx.bidirectional_dijkstra(G, 1, 6) + + @pytest.mark.parametrize( + "fn", + ( + nx.dijkstra_path, + nx.dijkstra_path_length, + nx.single_source_dijkstra_path, + nx.single_source_dijkstra_path_length, + nx.single_source_dijkstra, + nx.dijkstra_predecessor_and_distance, + ), + ) + def test_absent_source(self, fn): + G = nx.path_graph(2) + with pytest.raises(nx.NodeNotFound): + fn(G, 3, 0) + # Test when source == target, which is handled specially by some functions + with pytest.raises(nx.NodeNotFound): + fn(G, 3, 3) + + def test_dijkstra_predecessor1(self): + G = nx.path_graph(4) + assert nx.dijkstra_predecessor_and_distance(G, 0) == ( + {0: [], 1: [0], 2: [1], 3: [2]}, + {0: 0, 1: 1, 2: 2, 3: 3}, + ) + + def test_dijkstra_predecessor2(self): + # 4-cycle + G = nx.Graph([(0, 1), (1, 2), (2, 3), (3, 0)]) + pred, dist = nx.dijkstra_predecessor_and_distance(G, (0)) + assert pred[0] == [] + assert pred[1] == [0] + assert pred[2] in [[1, 3], [3, 1]] + assert pred[3] == [0] + assert dist == {0: 0, 1: 1, 2: 2, 3: 1} + + def test_dijkstra_predecessor3(self): + XG = nx.DiGraph() + XG.add_weighted_edges_from( + [ + ("s", "u", 10), + ("s", "x", 5), + ("u", "v", 1), + ("u", "x", 2), + ("v", "y", 1), + ("x", "u", 3), + ("x", "v", 5), + ("x", "y", 2), + ("y", "s", 7), + ("y", "v", 6), + ] + ) + (P, D) = nx.dijkstra_predecessor_and_distance(XG, "s") + assert P["v"] == ["u"] + assert D["v"] == 9 + (P, D) = nx.dijkstra_predecessor_and_distance(XG, "s", cutoff=8) + assert "v" not in D + + def test_single_source_dijkstra_path_length(self): + pl = nx.single_source_dijkstra_path_length + assert dict(pl(self.MXG4, 0))[2] == 4 + spl = pl(self.MXG4, 0, cutoff=2) + assert 2 not in spl + + def test_bidirectional_dijkstra_multigraph(self): + G = nx.MultiGraph() + G.add_edge("a", "b", weight=10) + G.add_edge("a", "b", weight=100) + dp = nx.bidirectional_dijkstra(G, "a", "b") + assert dp == (10, ["a", "b"]) + + def test_dijkstra_pred_distance_multigraph(self): + G = nx.MultiGraph() + G.add_edge("a", "b", key="short", foo=5, weight=100) + G.add_edge("a", "b", key="long", bar=1, weight=110) + p, d = nx.dijkstra_predecessor_and_distance(G, "a") + assert p == {"a": [], "b": ["a"]} + assert d == {"a": 0, "b": 100} + + def test_negative_edge_cycle(self): + G = nx.cycle_graph(5, create_using=nx.DiGraph()) + assert not nx.negative_edge_cycle(G) + G.add_edge(8, 9, weight=-7) + G.add_edge(9, 8, weight=3) + graph_size = len(G) + assert nx.negative_edge_cycle(G) + assert graph_size == len(G) + pytest.raises(ValueError, nx.single_source_dijkstra_path_length, G, 8) + pytest.raises(ValueError, nx.single_source_dijkstra, G, 8) + pytest.raises(ValueError, nx.dijkstra_predecessor_and_distance, G, 8) + G.add_edge(9, 10) + pytest.raises(ValueError, nx.bidirectional_dijkstra, G, 8, 10) + G = nx.MultiDiGraph() + G.add_edge(2, 2, weight=-1) + assert nx.negative_edge_cycle(G) + + def test_negative_edge_cycle_empty(self): + G = nx.DiGraph() + assert not nx.negative_edge_cycle(G) + + def test_negative_edge_cycle_custom_weight_key(self): + d = nx.DiGraph() + d.add_edge("a", "b", w=-2) + d.add_edge("b", "a", w=-1) + assert nx.negative_edge_cycle(d, weight="w") + + def test_weight_function(self): + """Tests that a callable weight is interpreted as a weight + function instead of an edge attribute. + + """ + # Create a triangle in which the edge from node 0 to node 2 has + # a large weight and the other two edges have a small weight. + G = nx.complete_graph(3) + G.adj[0][2]["weight"] = 10 + G.adj[0][1]["weight"] = 1 + G.adj[1][2]["weight"] = 1 + + # The weight function will take the multiplicative inverse of + # the weights on the edges. This way, weights that were large + # before now become small and vice versa. + + def weight(u, v, d): + return 1 / d["weight"] + + # The shortest path from 0 to 2 using the actual weights on the + # edges should be [0, 1, 2]. + distance, path = nx.single_source_dijkstra(G, 0, 2) + assert distance == 2 + assert path == [0, 1, 2] + # However, with the above weight function, the shortest path + # should be [0, 2], since that has a very small weight. + distance, path = nx.single_source_dijkstra(G, 0, 2, weight=weight) + assert distance == 1 / 10 + assert path == [0, 2] + + def test_all_pairs_dijkstra_path(self): + cycle = nx.cycle_graph(7) + p = dict(nx.all_pairs_dijkstra_path(cycle)) + assert p[0][3] == [0, 1, 2, 3] + + cycle[1][2]["weight"] = 10 + p = dict(nx.all_pairs_dijkstra_path(cycle)) + assert p[0][3] == [0, 6, 5, 4, 3] + + def test_all_pairs_dijkstra_path_length(self): + cycle = nx.cycle_graph(7) + pl = dict(nx.all_pairs_dijkstra_path_length(cycle)) + assert pl[0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + + cycle[1][2]["weight"] = 10 + pl = dict(nx.all_pairs_dijkstra_path_length(cycle)) + assert pl[0] == {0: 0, 1: 1, 2: 5, 3: 4, 4: 3, 5: 2, 6: 1} + + def test_all_pairs_dijkstra(self): + cycle = nx.cycle_graph(7) + out = dict(nx.all_pairs_dijkstra(cycle)) + assert out[0][0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1} + assert out[0][1][3] == [0, 1, 2, 3] + + cycle[1][2]["weight"] = 10 + out = dict(nx.all_pairs_dijkstra(cycle)) + assert out[0][0] == {0: 0, 1: 1, 2: 5, 3: 4, 4: 3, 5: 2, 6: 1} + assert out[0][1][3] == [0, 6, 5, 4, 3] + + +class TestDijkstraPathLength: + """Unit tests for the :func:`networkx.dijkstra_path_length` + function. + + """ + + def test_weight_function(self): + """Tests for computing the length of the shortest path using + Dijkstra's algorithm with a user-defined weight function. + + """ + # Create a triangle in which the edge from node 0 to node 2 has + # a large weight and the other two edges have a small weight. + G = nx.complete_graph(3) + G.adj[0][2]["weight"] = 10 + G.adj[0][1]["weight"] = 1 + G.adj[1][2]["weight"] = 1 + + # The weight function will take the multiplicative inverse of + # the weights on the edges. This way, weights that were large + # before now become small and vice versa. + + def weight(u, v, d): + return 1 / d["weight"] + + # The shortest path from 0 to 2 using the actual weights on the + # edges should be [0, 1, 2]. However, with the above weight + # function, the shortest path should be [0, 2], since that has a + # very small weight. + length = nx.dijkstra_path_length(G, 0, 2, weight=weight) + assert length == 1 / 10 + + +class TestMultiSourceDijkstra: + """Unit tests for the multi-source dialect of Dijkstra's shortest + path algorithms. + + """ + + def test_no_sources(self): + with pytest.raises(ValueError): + nx.multi_source_dijkstra(nx.Graph(), {}) + + def test_path_no_sources(self): + with pytest.raises(ValueError): + nx.multi_source_dijkstra_path(nx.Graph(), {}) + + def test_path_length_no_sources(self): + with pytest.raises(ValueError): + nx.multi_source_dijkstra_path_length(nx.Graph(), {}) + + @pytest.mark.parametrize( + "fn", + ( + nx.multi_source_dijkstra_path, + nx.multi_source_dijkstra_path_length, + nx.multi_source_dijkstra, + ), + ) + def test_absent_source(self, fn): + G = nx.path_graph(2) + with pytest.raises(nx.NodeNotFound): + fn(G, [3], 0) + with pytest.raises(nx.NodeNotFound): + fn(G, [3], 3) + + def test_two_sources(self): + edges = [(0, 1, 1), (1, 2, 1), (2, 3, 10), (3, 4, 1)] + G = nx.Graph() + G.add_weighted_edges_from(edges) + sources = {0, 4} + distances, paths = nx.multi_source_dijkstra(G, sources) + expected_distances = {0: 0, 1: 1, 2: 2, 3: 1, 4: 0} + expected_paths = {0: [0], 1: [0, 1], 2: [0, 1, 2], 3: [4, 3], 4: [4]} + assert distances == expected_distances + assert paths == expected_paths + + def test_simple_paths(self): + G = nx.path_graph(4) + lengths = nx.multi_source_dijkstra_path_length(G, [0]) + assert lengths == {n: n for n in G} + paths = nx.multi_source_dijkstra_path(G, [0]) + assert paths == {n: list(range(n + 1)) for n in G} + + +class TestBellmanFordAndGoldbergRadzik(WeightedTestBase): + def test_single_node_graph(self): + G = nx.DiGraph() + G.add_node(0) + assert nx.single_source_bellman_ford_path(G, 0) == {0: [0]} + assert nx.single_source_bellman_ford_path_length(G, 0) == {0: 0} + assert nx.single_source_bellman_ford(G, 0) == ({0: 0}, {0: [0]}) + assert nx.bellman_ford_predecessor_and_distance(G, 0) == ({0: []}, {0: 0}) + assert nx.goldberg_radzik(G, 0) == ({0: None}, {0: 0}) + + def test_absent_source_bellman_ford(self): + # the check is in _bellman_ford; this provides regression testing + # against later changes to "client" Bellman-Ford functions + G = nx.path_graph(2) + for fn in ( + nx.bellman_ford_predecessor_and_distance, + nx.bellman_ford_path, + nx.bellman_ford_path_length, + nx.single_source_bellman_ford_path, + nx.single_source_bellman_ford_path_length, + nx.single_source_bellman_ford, + ): + pytest.raises(nx.NodeNotFound, fn, G, 3, 0) + pytest.raises(nx.NodeNotFound, fn, G, 3, 3) + + def test_absent_source_goldberg_radzik(self): + with pytest.raises(nx.NodeNotFound): + G = nx.path_graph(2) + nx.goldberg_radzik(G, 3, 0) + + def test_negative_cycle_heuristic(self): + G = nx.DiGraph() + G.add_edge(0, 1, weight=-1) + G.add_edge(1, 2, weight=-1) + G.add_edge(2, 3, weight=-1) + G.add_edge(3, 0, weight=3) + assert not nx.negative_edge_cycle(G, heuristic=True) + G.add_edge(2, 0, weight=1.999) + assert nx.negative_edge_cycle(G, heuristic=True) + G.edges[2, 0]["weight"] = 2 + assert not nx.negative_edge_cycle(G, heuristic=True) + + def test_negative_cycle_consistency(self): + import random + + unif = random.uniform + for random_seed in range(2): # range(20): + random.seed(random_seed) + for density in [0.1, 0.9]: # .3, .7, .9]: + for N in [1, 10, 20]: # range(1, 60 - int(30 * density)): + for max_cost in [1, 90]: # [1, 10, 40, 90]: + G = nx.binomial_graph(N, density, seed=4, directed=True) + edges = ((u, v, unif(-1, max_cost)) for u, v in G.edges) + G.add_weighted_edges_from(edges) + + no_heuristic = nx.negative_edge_cycle(G, heuristic=False) + with_heuristic = nx.negative_edge_cycle(G, heuristic=True) + assert no_heuristic == with_heuristic + + def test_negative_cycle(self): + G = nx.cycle_graph(5, create_using=nx.DiGraph()) + G.add_edge(1, 2, weight=-7) + for i in range(5): + pytest.raises( + nx.NetworkXUnbounded, nx.single_source_bellman_ford_path, G, i + ) + pytest.raises( + nx.NetworkXUnbounded, nx.single_source_bellman_ford_path_length, G, i + ) + pytest.raises(nx.NetworkXUnbounded, nx.single_source_bellman_ford, G, i) + pytest.raises( + nx.NetworkXUnbounded, nx.bellman_ford_predecessor_and_distance, G, i + ) + pytest.raises(nx.NetworkXUnbounded, nx.goldberg_radzik, G, i) + G = nx.cycle_graph(5) # undirected Graph + G.add_edge(1, 2, weight=-3) + for i in range(5): + pytest.raises( + nx.NetworkXUnbounded, nx.single_source_bellman_ford_path, G, i + ) + pytest.raises( + nx.NetworkXUnbounded, nx.single_source_bellman_ford_path_length, G, i + ) + pytest.raises(nx.NetworkXUnbounded, nx.single_source_bellman_ford, G, i) + pytest.raises( + nx.NetworkXUnbounded, nx.bellman_ford_predecessor_and_distance, G, i + ) + pytest.raises(nx.NetworkXUnbounded, nx.goldberg_radzik, G, i) + G = nx.DiGraph([(1, 1, {"weight": -1})]) + pytest.raises(nx.NetworkXUnbounded, nx.single_source_bellman_ford_path, G, 1) + pytest.raises( + nx.NetworkXUnbounded, nx.single_source_bellman_ford_path_length, G, 1 + ) + pytest.raises(nx.NetworkXUnbounded, nx.single_source_bellman_ford, G, 1) + pytest.raises( + nx.NetworkXUnbounded, nx.bellman_ford_predecessor_and_distance, G, 1 + ) + pytest.raises(nx.NetworkXUnbounded, nx.goldberg_radzik, G, 1) + G = nx.MultiDiGraph([(1, 1, {"weight": -1})]) + pytest.raises(nx.NetworkXUnbounded, nx.single_source_bellman_ford_path, G, 1) + pytest.raises( + nx.NetworkXUnbounded, nx.single_source_bellman_ford_path_length, G, 1 + ) + pytest.raises(nx.NetworkXUnbounded, nx.single_source_bellman_ford, G, 1) + pytest.raises( + nx.NetworkXUnbounded, nx.bellman_ford_predecessor_and_distance, G, 1 + ) + pytest.raises(nx.NetworkXUnbounded, nx.goldberg_radzik, G, 1) + + def test_zero_cycle(self): + G = nx.cycle_graph(5, create_using=nx.DiGraph()) + G.add_edge(2, 3, weight=-4) + # check that zero cycle doesn't raise + nx.goldberg_radzik(G, 1) + nx.bellman_ford_predecessor_and_distance(G, 1) + + G.add_edge(2, 3, weight=-4.0001) + # check that negative cycle does raise + pytest.raises( + nx.NetworkXUnbounded, nx.bellman_ford_predecessor_and_distance, G, 1 + ) + pytest.raises(nx.NetworkXUnbounded, nx.goldberg_radzik, G, 1) + + def test_find_negative_cycle_longer_cycle(self): + G = nx.cycle_graph(5, create_using=nx.DiGraph()) + nx.add_cycle(G, [3, 5, 6, 7, 8, 9]) + G.add_edge(1, 2, weight=-30) + assert nx.find_negative_cycle(G, 1) == [0, 1, 2, 3, 4, 0] + assert nx.find_negative_cycle(G, 7) == [2, 3, 4, 0, 1, 2] + + def test_find_negative_cycle_no_cycle(self): + G = nx.path_graph(5, create_using=nx.DiGraph()) + pytest.raises(nx.NetworkXError, nx.find_negative_cycle, G, 3) + + def test_find_negative_cycle_single_edge(self): + G = nx.Graph() + G.add_edge(0, 1, weight=-1) + assert nx.find_negative_cycle(G, 1) == [1, 0, 1] + + def test_negative_weight(self): + G = nx.cycle_graph(5, create_using=nx.DiGraph()) + G.add_edge(1, 2, weight=-3) + assert nx.single_source_bellman_ford_path(G, 0) == { + 0: [0], + 1: [0, 1], + 2: [0, 1, 2], + 3: [0, 1, 2, 3], + 4: [0, 1, 2, 3, 4], + } + assert nx.single_source_bellman_ford_path_length(G, 0) == { + 0: 0, + 1: 1, + 2: -2, + 3: -1, + 4: 0, + } + assert nx.single_source_bellman_ford(G, 0) == ( + {0: 0, 1: 1, 2: -2, 3: -1, 4: 0}, + {0: [0], 1: [0, 1], 2: [0, 1, 2], 3: [0, 1, 2, 3], 4: [0, 1, 2, 3, 4]}, + ) + assert nx.bellman_ford_predecessor_and_distance(G, 0) == ( + {0: [], 1: [0], 2: [1], 3: [2], 4: [3]}, + {0: 0, 1: 1, 2: -2, 3: -1, 4: 0}, + ) + assert nx.goldberg_radzik(G, 0) == ( + {0: None, 1: 0, 2: 1, 3: 2, 4: 3}, + {0: 0, 1: 1, 2: -2, 3: -1, 4: 0}, + ) + + def test_not_connected(self): + G = nx.complete_graph(6) + G.add_edge(10, 11) + G.add_edge(10, 12) + assert nx.single_source_bellman_ford_path(G, 0) == { + 0: [0], + 1: [0, 1], + 2: [0, 2], + 3: [0, 3], + 4: [0, 4], + 5: [0, 5], + } + assert nx.single_source_bellman_ford_path_length(G, 0) == { + 0: 0, + 1: 1, + 2: 1, + 3: 1, + 4: 1, + 5: 1, + } + assert nx.single_source_bellman_ford(G, 0) == ( + {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, + {0: [0], 1: [0, 1], 2: [0, 2], 3: [0, 3], 4: [0, 4], 5: [0, 5]}, + ) + assert nx.bellman_ford_predecessor_and_distance(G, 0) == ( + {0: [], 1: [0], 2: [0], 3: [0], 4: [0], 5: [0]}, + {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, + ) + assert nx.goldberg_radzik(G, 0) == ( + {0: None, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, + {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, + ) + + # not connected, with a component not containing the source that + # contains a negative cycle. + G = nx.complete_graph(6) + G.add_edges_from( + [ + ("A", "B", {"load": 3}), + ("B", "C", {"load": -10}), + ("C", "A", {"load": 2}), + ] + ) + assert nx.single_source_bellman_ford_path(G, 0, weight="load") == { + 0: [0], + 1: [0, 1], + 2: [0, 2], + 3: [0, 3], + 4: [0, 4], + 5: [0, 5], + } + assert nx.single_source_bellman_ford_path_length(G, 0, weight="load") == { + 0: 0, + 1: 1, + 2: 1, + 3: 1, + 4: 1, + 5: 1, + } + assert nx.single_source_bellman_ford(G, 0, weight="load") == ( + {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, + {0: [0], 1: [0, 1], 2: [0, 2], 3: [0, 3], 4: [0, 4], 5: [0, 5]}, + ) + assert nx.bellman_ford_predecessor_and_distance(G, 0, weight="load") == ( + {0: [], 1: [0], 2: [0], 3: [0], 4: [0], 5: [0]}, + {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, + ) + assert nx.goldberg_radzik(G, 0, weight="load") == ( + {0: None, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, + {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, + ) + + def test_multigraph(self): + assert nx.bellman_ford_path(self.MXG, "s", "v") == ["s", "x", "u", "v"] + assert nx.bellman_ford_path_length(self.MXG, "s", "v") == 9 + assert nx.single_source_bellman_ford_path(self.MXG, "s")["v"] == [ + "s", + "x", + "u", + "v", + ] + assert nx.single_source_bellman_ford_path_length(self.MXG, "s")["v"] == 9 + D, P = nx.single_source_bellman_ford(self.MXG, "s", target="v") + assert D == 9 + assert P == ["s", "x", "u", "v"] + P, D = nx.bellman_ford_predecessor_and_distance(self.MXG, "s") + assert P["v"] == ["u"] + assert D["v"] == 9 + P, D = nx.goldberg_radzik(self.MXG, "s") + assert P["v"] == "u" + assert D["v"] == 9 + assert nx.bellman_ford_path(self.MXG4, 0, 2) == [0, 1, 2] + assert nx.bellman_ford_path_length(self.MXG4, 0, 2) == 4 + assert nx.single_source_bellman_ford_path(self.MXG4, 0)[2] == [0, 1, 2] + assert nx.single_source_bellman_ford_path_length(self.MXG4, 0)[2] == 4 + D, P = nx.single_source_bellman_ford(self.MXG4, 0, target=2) + assert D == 4 + assert P == [0, 1, 2] + P, D = nx.bellman_ford_predecessor_and_distance(self.MXG4, 0) + assert P[2] == [1] + assert D[2] == 4 + P, D = nx.goldberg_radzik(self.MXG4, 0) + assert P[2] == 1 + assert D[2] == 4 + + def test_others(self): + assert nx.bellman_ford_path(self.XG, "s", "v") == ["s", "x", "u", "v"] + assert nx.bellman_ford_path_length(self.XG, "s", "v") == 9 + assert nx.single_source_bellman_ford_path(self.XG, "s")["v"] == [ + "s", + "x", + "u", + "v", + ] + assert nx.single_source_bellman_ford_path_length(self.XG, "s")["v"] == 9 + D, P = nx.single_source_bellman_ford(self.XG, "s", target="v") + assert D == 9 + assert P == ["s", "x", "u", "v"] + (P, D) = nx.bellman_ford_predecessor_and_distance(self.XG, "s") + assert P["v"] == ["u"] + assert D["v"] == 9 + (P, D) = nx.goldberg_radzik(self.XG, "s") + assert P["v"] == "u" + assert D["v"] == 9 + + def test_path_graph(self): + G = nx.path_graph(4) + assert nx.single_source_bellman_ford_path(G, 0) == { + 0: [0], + 1: [0, 1], + 2: [0, 1, 2], + 3: [0, 1, 2, 3], + } + assert nx.single_source_bellman_ford_path_length(G, 0) == { + 0: 0, + 1: 1, + 2: 2, + 3: 3, + } + assert nx.single_source_bellman_ford(G, 0) == ( + {0: 0, 1: 1, 2: 2, 3: 3}, + {0: [0], 1: [0, 1], 2: [0, 1, 2], 3: [0, 1, 2, 3]}, + ) + assert nx.bellman_ford_predecessor_and_distance(G, 0) == ( + {0: [], 1: [0], 2: [1], 3: [2]}, + {0: 0, 1: 1, 2: 2, 3: 3}, + ) + assert nx.goldberg_radzik(G, 0) == ( + {0: None, 1: 0, 2: 1, 3: 2}, + {0: 0, 1: 1, 2: 2, 3: 3}, + ) + assert nx.single_source_bellman_ford_path(G, 3) == { + 0: [3, 2, 1, 0], + 1: [3, 2, 1], + 2: [3, 2], + 3: [3], + } + assert nx.single_source_bellman_ford_path_length(G, 3) == { + 0: 3, + 1: 2, + 2: 1, + 3: 0, + } + assert nx.single_source_bellman_ford(G, 3) == ( + {0: 3, 1: 2, 2: 1, 3: 0}, + {0: [3, 2, 1, 0], 1: [3, 2, 1], 2: [3, 2], 3: [3]}, + ) + assert nx.bellman_ford_predecessor_and_distance(G, 3) == ( + {0: [1], 1: [2], 2: [3], 3: []}, + {0: 3, 1: 2, 2: 1, 3: 0}, + ) + assert nx.goldberg_radzik(G, 3) == ( + {0: 1, 1: 2, 2: 3, 3: None}, + {0: 3, 1: 2, 2: 1, 3: 0}, + ) + + def test_4_cycle(self): + # 4-cycle + G = nx.Graph([(0, 1), (1, 2), (2, 3), (3, 0)]) + dist, path = nx.single_source_bellman_ford(G, 0) + assert dist == {0: 0, 1: 1, 2: 2, 3: 1} + assert path[0] == [0] + assert path[1] == [0, 1] + assert path[2] in [[0, 1, 2], [0, 3, 2]] + assert path[3] == [0, 3] + + pred, dist = nx.bellman_ford_predecessor_and_distance(G, 0) + assert pred[0] == [] + assert pred[1] == [0] + assert pred[2] in [[1, 3], [3, 1]] + assert pred[3] == [0] + assert dist == {0: 0, 1: 1, 2: 2, 3: 1} + + pred, dist = nx.goldberg_radzik(G, 0) + assert pred[0] is None + assert pred[1] == 0 + assert pred[2] in [1, 3] + assert pred[3] == 0 + assert dist == {0: 0, 1: 1, 2: 2, 3: 1} + + def test_negative_weight_bf_path(self): + G = nx.DiGraph() + G.add_nodes_from("abcd") + G.add_edge("a", "d", weight=0) + G.add_edge("a", "b", weight=1) + G.add_edge("b", "c", weight=-3) + G.add_edge("c", "d", weight=1) + + assert nx.bellman_ford_path(G, "a", "d") == ["a", "b", "c", "d"] + assert nx.bellman_ford_path_length(G, "a", "d") == -1 + + def test_zero_cycle_smoke(self): + D = nx.DiGraph() + D.add_weighted_edges_from([(0, 1, 1), (1, 2, 1), (2, 3, 1), (3, 1, -2)]) + + nx.bellman_ford_path(D, 1, 3) + nx.dijkstra_path(D, 1, 3) + nx.bidirectional_dijkstra(D, 1, 3) + # FIXME nx.goldberg_radzik(D, 1) + + +class TestJohnsonAlgorithm(WeightedTestBase): + def test_single_node_graph(self): + G = nx.DiGraph() + G.add_node(0) + assert nx.johnson(G) == {0: {0: [0]}} + + def test_negative_cycle(self): + G = nx.DiGraph() + G.add_weighted_edges_from( + [ + ("0", "3", 3), + ("0", "1", -5), + ("1", "0", -5), + ("0", "2", 2), + ("1", "2", 4), + ("2", "3", 1), + ] + ) + pytest.raises(nx.NetworkXUnbounded, nx.johnson, G) + G = nx.Graph() + G.add_weighted_edges_from( + [ + ("0", "3", 3), + ("0", "1", -5), + ("1", "0", -5), + ("0", "2", 2), + ("1", "2", 4), + ("2", "3", 1), + ] + ) + pytest.raises(nx.NetworkXUnbounded, nx.johnson, G) + + def test_negative_weights(self): + G = nx.DiGraph() + G.add_weighted_edges_from( + [("0", "3", 3), ("0", "1", -5), ("0", "2", 2), ("1", "2", 4), ("2", "3", 1)] + ) + paths = nx.johnson(G) + assert paths == { + "1": {"1": ["1"], "3": ["1", "2", "3"], "2": ["1", "2"]}, + "0": { + "1": ["0", "1"], + "0": ["0"], + "3": ["0", "1", "2", "3"], + "2": ["0", "1", "2"], + }, + "3": {"3": ["3"]}, + "2": {"3": ["2", "3"], "2": ["2"]}, + } + + def test_unweighted_graph(self): + G = nx.Graph() + G.add_edges_from([(1, 0), (2, 1)]) + H = G.copy() + nx.set_edge_attributes(H, values=1, name="weight") + assert nx.johnson(G) == nx.johnson(H) + + def test_partially_weighted_graph_with_negative_edges(self): + G = nx.DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 0), (1, 0)]) + G[1][0]["weight"] = -2 + G[0][1]["weight"] = 3 + G[1][2]["weight"] = -4 + + H = G.copy() + H[2][0]["weight"] = 1 + + I = G.copy() + I[2][0]["weight"] = 8 + + assert nx.johnson(G) == nx.johnson(H) + assert nx.johnson(G) != nx.johnson(I) + + def test_graphs(self): + validate_path(self.XG, "s", "v", 9, nx.johnson(self.XG)["s"]["v"]) + validate_path(self.MXG, "s", "v", 9, nx.johnson(self.MXG)["s"]["v"]) + validate_path(self.XG2, 1, 3, 4, nx.johnson(self.XG2)[1][3]) + validate_path(self.XG3, 0, 3, 15, nx.johnson(self.XG3)[0][3]) + validate_path(self.XG4, 0, 2, 4, nx.johnson(self.XG4)[0][2]) + validate_path(self.MXG4, 0, 2, 4, nx.johnson(self.MXG4)[0][2]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/unweighted.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/unweighted.py new file mode 100644 index 0000000000000000000000000000000000000000..3aeef85478f94d5cfff34f9b7aa2bb4595adef9d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/unweighted.py @@ -0,0 +1,579 @@ +""" +Shortest path algorithms for unweighted graphs. +""" + +import warnings + +import networkx as nx + +__all__ = [ + "bidirectional_shortest_path", + "single_source_shortest_path", + "single_source_shortest_path_length", + "single_target_shortest_path", + "single_target_shortest_path_length", + "all_pairs_shortest_path", + "all_pairs_shortest_path_length", + "predecessor", +] + + +@nx._dispatchable +def single_source_shortest_path_length(G, source, cutoff=None): + """Compute the shortest path lengths from source to all reachable nodes. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path + + cutoff : integer, optional + Depth to stop the search. Only paths of length <= cutoff are returned. + + Returns + ------- + lengths : dict + Dict keyed by node to shortest path length to source. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length = nx.single_source_shortest_path_length(G, 0) + >>> length[4] + 4 + >>> for node in length: + ... print(f"{node}: {length[node]}") + 0: 0 + 1: 1 + 2: 2 + 3: 3 + 4: 4 + + See Also + -------- + shortest_path_length + """ + if source not in G: + raise nx.NodeNotFound(f"Source {source} is not in G") + if cutoff is None: + cutoff = float("inf") + nextlevel = [source] + return dict(_single_shortest_path_length(G._adj, nextlevel, cutoff)) + + +def _single_shortest_path_length(adj, firstlevel, cutoff): + """Yields (node, level) in a breadth first search + + Shortest Path Length helper function + Parameters + ---------- + adj : dict + Adjacency dict or view + firstlevel : list + starting nodes, e.g. [source] or [target] + cutoff : int or float + level at which we stop the process + """ + seen = set(firstlevel) + nextlevel = firstlevel + level = 0 + n = len(adj) + for v in nextlevel: + yield (v, level) + while nextlevel and cutoff > level: + level += 1 + thislevel = nextlevel + nextlevel = [] + for v in thislevel: + for w in adj[v]: + if w not in seen: + seen.add(w) + nextlevel.append(w) + yield (w, level) + if len(seen) == n: + return + + +@nx._dispatchable +def single_target_shortest_path_length(G, target, cutoff=None): + """Compute the shortest path lengths to target from all reachable nodes. + + Parameters + ---------- + G : NetworkX graph + + target : node + Target node for path + + cutoff : integer, optional + Depth to stop the search. Only paths of length <= cutoff are returned. + + Returns + ------- + lengths : iterator + (source, shortest path length) iterator + + Examples + -------- + >>> G = nx.path_graph(5, create_using=nx.DiGraph()) + >>> length = dict(nx.single_target_shortest_path_length(G, 4)) + >>> length[0] + 4 + >>> for node in range(5): + ... print(f"{node}: {length[node]}") + 0: 4 + 1: 3 + 2: 2 + 3: 1 + 4: 0 + + See Also + -------- + single_source_shortest_path_length, shortest_path_length + """ + if target not in G: + raise nx.NodeNotFound(f"Target {target} is not in G") + + warnings.warn( + ( + "\n\nsingle_target_shortest_path_length will return a dict instead of" + "\nan iterator in version 3.5" + ), + FutureWarning, + stacklevel=3, + ) + + if cutoff is None: + cutoff = float("inf") + # handle either directed or undirected + adj = G._pred if G.is_directed() else G._adj + nextlevel = [target] + # for version 3.3 we will return a dict like this: + # return dict(_single_shortest_path_length(adj, nextlevel, cutoff)) + return _single_shortest_path_length(adj, nextlevel, cutoff) + + +@nx._dispatchable +def all_pairs_shortest_path_length(G, cutoff=None): + """Computes the shortest path lengths between all nodes in `G`. + + Parameters + ---------- + G : NetworkX graph + + cutoff : integer, optional + Depth at which to stop the search. Only paths of length at most + `cutoff` are returned. + + Returns + ------- + lengths : iterator + (source, dictionary) iterator with dictionary keyed by target and + shortest path length as the key value. + + Notes + ----- + The iterator returned only has reachable node pairs. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length = dict(nx.all_pairs_shortest_path_length(G)) + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"1 - {node}: {length[1][node]}") + 1 - 0: 1 + 1 - 1: 0 + 1 - 2: 1 + 1 - 3: 2 + 1 - 4: 3 + >>> length[3][2] + 1 + >>> length[2][2] + 0 + + """ + length = single_source_shortest_path_length + # TODO This can be trivially parallelized. + for n in G: + yield (n, length(G, n, cutoff=cutoff)) + + +@nx._dispatchable +def bidirectional_shortest_path(G, source, target): + """Returns a list of nodes in a shortest path between source and target. + + Parameters + ---------- + G : NetworkX graph + + source : node label + starting node for path + + target : node label + ending node for path + + Returns + ------- + path: list + List of nodes in a path from source to target. + + Raises + ------ + NetworkXNoPath + If no path exists between source and target. + + Examples + -------- + >>> G = nx.Graph() + >>> nx.add_path(G, [0, 1, 2, 3, 0, 4, 5, 6, 7, 4]) + >>> nx.bidirectional_shortest_path(G, 2, 6) + [2, 1, 0, 4, 5, 6] + + See Also + -------- + shortest_path + + Notes + ----- + This algorithm is used by shortest_path(G, source, target). + """ + + if source not in G: + raise nx.NodeNotFound(f"Source {source} is not in G") + + if target not in G: + raise nx.NodeNotFound(f"Target {target} is not in G") + + # call helper to do the real work + results = _bidirectional_pred_succ(G, source, target) + pred, succ, w = results + + # build path from pred+w+succ + path = [] + # from source to w + while w is not None: + path.append(w) + w = pred[w] + path.reverse() + # from w to target + w = succ[path[-1]] + while w is not None: + path.append(w) + w = succ[w] + + return path + + +def _bidirectional_pred_succ(G, source, target): + """Bidirectional shortest path helper. + + Returns (pred, succ, w) where + pred is a dictionary of predecessors from w to the source, and + succ is a dictionary of successors from w to the target. + """ + # does BFS from both source and target and meets in the middle + if target == source: + return ({target: None}, {source: None}, source) + + # handle either directed or undirected + if G.is_directed(): + Gpred = G.pred + Gsucc = G.succ + else: + Gpred = G.adj + Gsucc = G.adj + + # predecessor and successors in search + pred = {source: None} + succ = {target: None} + + # initialize fringes, start with forward + forward_fringe = [source] + reverse_fringe = [target] + + while forward_fringe and reverse_fringe: + if len(forward_fringe) <= len(reverse_fringe): + this_level = forward_fringe + forward_fringe = [] + for v in this_level: + for w in Gsucc[v]: + if w not in pred: + forward_fringe.append(w) + pred[w] = v + if w in succ: # path found + return pred, succ, w + else: + this_level = reverse_fringe + reverse_fringe = [] + for v in this_level: + for w in Gpred[v]: + if w not in succ: + succ[w] = v + reverse_fringe.append(w) + if w in pred: # found path + return pred, succ, w + + raise nx.NetworkXNoPath(f"No path between {source} and {target}.") + + +@nx._dispatchable +def single_source_shortest_path(G, source, cutoff=None): + """Compute shortest path between source + and all other nodes reachable from source. + + Parameters + ---------- + G : NetworkX graph + + source : node label + Starting node for path + + cutoff : integer, optional + Depth to stop the search. Only paths of length <= cutoff are returned. + + Returns + ------- + paths : dictionary + Dictionary, keyed by target, of shortest paths. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> path = nx.single_source_shortest_path(G, 0) + >>> path[4] + [0, 1, 2, 3, 4] + + Notes + ----- + The shortest path is not necessarily unique. So there can be multiple + paths between the source and each target node, all of which have the + same 'shortest' length. For each target node, this function returns + only one of those paths. + + See Also + -------- + shortest_path + """ + if source not in G: + raise nx.NodeNotFound(f"Source {source} not in G") + + def join(p1, p2): + return p1 + p2 + + if cutoff is None: + cutoff = float("inf") + nextlevel = {source: 1} # list of nodes to check at next level + paths = {source: [source]} # paths dictionary (paths to key from source) + return dict(_single_shortest_path(G.adj, nextlevel, paths, cutoff, join)) + + +def _single_shortest_path(adj, firstlevel, paths, cutoff, join): + """Returns shortest paths + + Shortest Path helper function + Parameters + ---------- + adj : dict + Adjacency dict or view + firstlevel : dict + starting nodes, e.g. {source: 1} or {target: 1} + paths : dict + paths for starting nodes, e.g. {source: [source]} + cutoff : int or float + level at which we stop the process + join : function + function to construct a path from two partial paths. Requires two + list inputs `p1` and `p2`, and returns a list. Usually returns + `p1 + p2` (forward from source) or `p2 + p1` (backward from target) + """ + level = 0 # the current level + nextlevel = firstlevel + while nextlevel and cutoff > level: + thislevel = nextlevel + nextlevel = {} + for v in thislevel: + for w in adj[v]: + if w not in paths: + paths[w] = join(paths[v], [w]) + nextlevel[w] = 1 + level += 1 + return paths + + +@nx._dispatchable +def single_target_shortest_path(G, target, cutoff=None): + """Compute shortest path to target from all nodes that reach target. + + Parameters + ---------- + G : NetworkX graph + + target : node label + Target node for path + + cutoff : integer, optional + Depth to stop the search. Only paths of length <= cutoff are returned. + + Returns + ------- + paths : dictionary + Dictionary, keyed by target, of shortest paths. + + Examples + -------- + >>> G = nx.path_graph(5, create_using=nx.DiGraph()) + >>> path = nx.single_target_shortest_path(G, 4) + >>> path[0] + [0, 1, 2, 3, 4] + + Notes + ----- + The shortest path is not necessarily unique. So there can be multiple + paths between the source and each target node, all of which have the + same 'shortest' length. For each target node, this function returns + only one of those paths. + + See Also + -------- + shortest_path, single_source_shortest_path + """ + if target not in G: + raise nx.NodeNotFound(f"Target {target} not in G") + + def join(p1, p2): + return p2 + p1 + + # handle undirected graphs + adj = G.pred if G.is_directed() else G.adj + if cutoff is None: + cutoff = float("inf") + nextlevel = {target: 1} # list of nodes to check at next level + paths = {target: [target]} # paths dictionary (paths to key from source) + return dict(_single_shortest_path(adj, nextlevel, paths, cutoff, join)) + + +@nx._dispatchable +def all_pairs_shortest_path(G, cutoff=None): + """Compute shortest paths between all nodes. + + Parameters + ---------- + G : NetworkX graph + + cutoff : integer, optional + Depth at which to stop the search. Only paths of length at most + `cutoff` are returned. + + Returns + ------- + paths : iterator + Dictionary, keyed by source and target, of shortest paths. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> path = dict(nx.all_pairs_shortest_path(G)) + >>> print(path[0][4]) + [0, 1, 2, 3, 4] + + Notes + ----- + There may be multiple shortest paths with the same length between + two nodes. For each pair, this function returns only one of those paths. + + See Also + -------- + floyd_warshall + all_pairs_all_shortest_paths + + """ + # TODO This can be trivially parallelized. + for n in G: + yield (n, single_source_shortest_path(G, n, cutoff=cutoff)) + + +@nx._dispatchable +def predecessor(G, source, target=None, cutoff=None, return_seen=None): + """Returns dict of predecessors for the path from source to all nodes in G. + + Parameters + ---------- + G : NetworkX graph + + source : node label + Starting node for path + + target : node label, optional + Ending node for path. If provided only predecessors between + source and target are returned + + cutoff : integer, optional + Depth to stop the search. Only paths of length <= cutoff are returned. + + return_seen : bool, optional (default=None) + Whether to return a dictionary, keyed by node, of the level (number of + hops) to reach the node (as seen during breadth-first-search). + + Returns + ------- + pred : dictionary + Dictionary, keyed by node, of predecessors in the shortest path. + + + (pred, seen): tuple of dictionaries + If `return_seen` argument is set to `True`, then a tuple of dictionaries + is returned. The first element is the dictionary, keyed by node, of + predecessors in the shortest path. The second element is the dictionary, + keyed by node, of the level (number of hops) to reach the node (as seen + during breadth-first-search). + + Examples + -------- + >>> G = nx.path_graph(4) + >>> list(G) + [0, 1, 2, 3] + >>> nx.predecessor(G, 0) + {0: [], 1: [0], 2: [1], 3: [2]} + >>> nx.predecessor(G, 0, return_seen=True) + ({0: [], 1: [0], 2: [1], 3: [2]}, {0: 0, 1: 1, 2: 2, 3: 3}) + + + """ + if source not in G: + raise nx.NodeNotFound(f"Source {source} not in G") + + level = 0 # the current level + nextlevel = [source] # list of nodes to check at next level + seen = {source: level} # level (number of hops) when seen in BFS + pred = {source: []} # predecessor dictionary + while nextlevel: + level = level + 1 + thislevel = nextlevel + nextlevel = [] + for v in thislevel: + for w in G[v]: + if w not in seen: + pred[w] = [v] + seen[w] = level + nextlevel.append(w) + elif seen[w] == level: # add v to predecessor list if it + pred[w].append(v) # is at the correct level + if cutoff and cutoff <= level: + break + + if target is not None: + if return_seen: + if target not in pred: + return ([], -1) # No predecessor + return (pred[target], seen[target]) + else: + if target not in pred: + return [] # No predecessor + return pred[target] + else: + if return_seen: + return (pred, seen) + else: + return pred diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/weighted.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/weighted.py new file mode 100644 index 0000000000000000000000000000000000000000..f8421d42b5d65b23dea79bb16cc8280940f83127 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/shortest_paths/weighted.py @@ -0,0 +1,2520 @@ +""" +Shortest path algorithms for weighted graphs. +""" + +from collections import deque +from heapq import heappop, heappush +from itertools import count + +import networkx as nx +from networkx.algorithms.shortest_paths.generic import _build_paths_from_predecessors + +__all__ = [ + "dijkstra_path", + "dijkstra_path_length", + "bidirectional_dijkstra", + "single_source_dijkstra", + "single_source_dijkstra_path", + "single_source_dijkstra_path_length", + "multi_source_dijkstra", + "multi_source_dijkstra_path", + "multi_source_dijkstra_path_length", + "all_pairs_dijkstra", + "all_pairs_dijkstra_path", + "all_pairs_dijkstra_path_length", + "dijkstra_predecessor_and_distance", + "bellman_ford_path", + "bellman_ford_path_length", + "single_source_bellman_ford", + "single_source_bellman_ford_path", + "single_source_bellman_ford_path_length", + "all_pairs_bellman_ford_path", + "all_pairs_bellman_ford_path_length", + "bellman_ford_predecessor_and_distance", + "negative_edge_cycle", + "find_negative_cycle", + "goldberg_radzik", + "johnson", +] + + +def _weight_function(G, weight): + """Returns a function that returns the weight of an edge. + + The returned function is specifically suitable for input to + functions :func:`_dijkstra` and :func:`_bellman_ford_relaxation`. + + Parameters + ---------- + G : NetworkX graph. + + weight : string or function + If it is callable, `weight` itself is returned. If it is a string, + it is assumed to be the name of the edge attribute that represents + the weight of an edge. In that case, a function is returned that + gets the edge weight according to the specified edge attribute. + + Returns + ------- + function + This function returns a callable that accepts exactly three inputs: + a node, an node adjacent to the first one, and the edge attribute + dictionary for the eedge joining those nodes. That function returns + a number representing the weight of an edge. + + If `G` is a multigraph, and `weight` is not callable, the + minimum edge weight over all parallel edges is returned. If any edge + does not have an attribute with key `weight`, it is assumed to + have weight one. + + """ + if callable(weight): + return weight + # If the weight keyword argument is not callable, we assume it is a + # string representing the edge attribute containing the weight of + # the edge. + if G.is_multigraph(): + return lambda u, v, d: min(attr.get(weight, 1) for attr in d.values()) + return lambda u, v, data: data.get(weight, 1) + + +@nx._dispatchable(edge_attrs="weight") +def dijkstra_path(G, source, target, weight="weight"): + """Returns the shortest weighted path from source to target in G. + + Uses Dijkstra's Method to compute the shortest weighted path + between two nodes in a graph. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node + + target : node + Ending node + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + path : list + List of nodes in a shortest path. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + NetworkXNoPath + If no path exists between source and target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> print(nx.dijkstra_path(G, 0, 4)) + [0, 1, 2, 3, 4] + + Find edges of shortest path in Multigraph + + >>> G = nx.MultiDiGraph() + >>> G.add_weighted_edges_from([(1, 2, 0.75), (1, 2, 0.5), (2, 3, 0.5), (1, 3, 1.5)]) + >>> nodes = nx.dijkstra_path(G, 1, 3) + >>> edges = nx.utils.pairwise(nodes) + >>> list( + ... (u, v, min(G[u][v], key=lambda k: G[u][v][k].get("weight", 1))) + ... for u, v in edges + ... ) + [(1, 2, 1), (2, 3, 0)] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + The weight function can be used to include node weights. + + >>> def func(u, v, d): + ... node_u_wt = G.nodes[u].get("node_weight", 1) + ... node_v_wt = G.nodes[v].get("node_weight", 1) + ... edge_wt = d.get("weight", 1) + ... return node_u_wt / 2 + node_v_wt / 2 + edge_wt + + In this example we take the average of start and end node + weights of an edge and add it to the weight of the edge. + + The function :func:`single_source_dijkstra` computes both + path and length-of-path if you need both, use that. + + See Also + -------- + bidirectional_dijkstra + bellman_ford_path + single_source_dijkstra + """ + (length, path) = single_source_dijkstra(G, source, target=target, weight=weight) + return path + + +@nx._dispatchable(edge_attrs="weight") +def dijkstra_path_length(G, source, target, weight="weight"): + """Returns the shortest weighted path length in G from source to target. + + Uses Dijkstra's Method to compute the shortest weighted path length + between two nodes in a graph. + + Parameters + ---------- + G : NetworkX graph + + source : node label + starting node for path + + target : node label + ending node for path + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + length : number + Shortest path length. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + NetworkXNoPath + If no path exists between source and target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.dijkstra_path_length(G, 0, 4) + 4 + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + The function :func:`single_source_dijkstra` computes both + path and length-of-path if you need both, use that. + + See Also + -------- + bidirectional_dijkstra + bellman_ford_path_length + single_source_dijkstra + + """ + if source not in G: + raise nx.NodeNotFound(f"Node {source} not found in graph") + if source == target: + return 0 + weight = _weight_function(G, weight) + length = _dijkstra(G, source, weight, target=target) + try: + return length[target] + except KeyError as err: + raise nx.NetworkXNoPath(f"Node {target} not reachable from {source}") from err + + +@nx._dispatchable(edge_attrs="weight") +def single_source_dijkstra_path(G, source, cutoff=None, weight="weight"): + """Find shortest weighted paths in G from a source node. + + Compute shortest path between source and all other reachable + nodes for a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path. + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + paths : dictionary + Dictionary of shortest path lengths keyed by target. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> path = nx.single_source_dijkstra_path(G, 0) + >>> path[4] + [0, 1, 2, 3, 4] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + See Also + -------- + single_source_dijkstra, single_source_bellman_ford + + """ + return multi_source_dijkstra_path(G, {source}, cutoff=cutoff, weight=weight) + + +@nx._dispatchable(edge_attrs="weight") +def single_source_dijkstra_path_length(G, source, cutoff=None, weight="weight"): + """Find shortest weighted path lengths in G from a source node. + + Compute the shortest path length between source and all other + reachable nodes for a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + source : node label + Starting node for path + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + length : dict + Dict keyed by node to shortest path length from source. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length = nx.single_source_dijkstra_path_length(G, 0) + >>> length[4] + 4 + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"{node}: {length[node]}") + 0: 0 + 1: 1 + 2: 2 + 3: 3 + 4: 4 + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + See Also + -------- + single_source_dijkstra, single_source_bellman_ford_path_length + + """ + return multi_source_dijkstra_path_length(G, {source}, cutoff=cutoff, weight=weight) + + +@nx._dispatchable(edge_attrs="weight") +def single_source_dijkstra(G, source, target=None, cutoff=None, weight="weight"): + """Find shortest weighted paths and lengths from a source node. + + Compute the shortest path length between source and all other + reachable nodes for a weighted graph. + + Uses Dijkstra's algorithm to compute shortest paths and lengths + between a source and all other reachable nodes in a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + source : node label + Starting node for path + + target : node label, optional + Ending node for path + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + distance, path : pair of dictionaries, or numeric and list. + If target is None, paths and lengths to all nodes are computed. + The return value is a tuple of two dictionaries keyed by target nodes. + The first dictionary stores distance to each target node. + The second stores the path to each target node. + If target is not None, returns a tuple (distance, path), where + distance is the distance from source to target and path is a list + representing the path from source to target. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length, path = nx.single_source_dijkstra(G, 0) + >>> length[4] + 4 + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"{node}: {length[node]}") + 0: 0 + 1: 1 + 2: 2 + 3: 3 + 4: 4 + >>> path[4] + [0, 1, 2, 3, 4] + >>> length, path = nx.single_source_dijkstra(G, 0, 1) + >>> length + 1 + >>> path + [0, 1] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + Based on the Python cookbook recipe (119466) at + https://code.activestate.com/recipes/119466/ + + This algorithm is not guaranteed to work if edge weights + are negative or are floating point numbers + (overflows and roundoff errors can cause problems). + + See Also + -------- + single_source_dijkstra_path + single_source_dijkstra_path_length + single_source_bellman_ford + """ + return multi_source_dijkstra( + G, {source}, cutoff=cutoff, target=target, weight=weight + ) + + +@nx._dispatchable(edge_attrs="weight") +def multi_source_dijkstra_path(G, sources, cutoff=None, weight="weight"): + """Find shortest weighted paths in G from a given set of source + nodes. + + Compute shortest path between any of the source nodes and all other + reachable nodes for a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + sources : non-empty set of nodes + Starting nodes for paths. If this is just a set containing a + single node, then all paths computed by this function will start + from that node. If there are two or more nodes in the set, the + computed paths may begin from any one of the start nodes. + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + paths : dictionary + Dictionary of shortest paths keyed by target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> path = nx.multi_source_dijkstra_path(G, {0, 4}) + >>> path[1] + [0, 1] + >>> path[3] + [4, 3] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + Raises + ------ + ValueError + If `sources` is empty. + NodeNotFound + If any of `sources` is not in `G`. + + See Also + -------- + multi_source_dijkstra, multi_source_bellman_ford + + """ + length, path = multi_source_dijkstra(G, sources, cutoff=cutoff, weight=weight) + return path + + +@nx._dispatchable(edge_attrs="weight") +def multi_source_dijkstra_path_length(G, sources, cutoff=None, weight="weight"): + """Find shortest weighted path lengths in G from a given set of + source nodes. + + Compute the shortest path length between any of the source nodes and + all other reachable nodes for a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + sources : non-empty set of nodes + Starting nodes for paths. If this is just a set containing a + single node, then all paths computed by this function will start + from that node. If there are two or more nodes in the set, the + computed paths may begin from any one of the start nodes. + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + length : dict + Dict keyed by node to shortest path length to nearest source. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length = nx.multi_source_dijkstra_path_length(G, {0, 4}) + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"{node}: {length[node]}") + 0: 0 + 1: 1 + 2: 2 + 3: 1 + 4: 0 + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + Raises + ------ + ValueError + If `sources` is empty. + NodeNotFound + If any of `sources` is not in `G`. + + See Also + -------- + multi_source_dijkstra + + """ + if not sources: + raise ValueError("sources must not be empty") + for s in sources: + if s not in G: + raise nx.NodeNotFound(f"Node {s} not found in graph") + weight = _weight_function(G, weight) + return _dijkstra_multisource(G, sources, weight, cutoff=cutoff) + + +@nx._dispatchable(edge_attrs="weight") +def multi_source_dijkstra(G, sources, target=None, cutoff=None, weight="weight"): + """Find shortest weighted paths and lengths from a given set of + source nodes. + + Uses Dijkstra's algorithm to compute the shortest paths and lengths + between one of the source nodes and the given `target`, or all other + reachable nodes if not specified, for a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + sources : non-empty set of nodes + Starting nodes for paths. If this is just a set containing a + single node, then all paths computed by this function will start + from that node. If there are two or more nodes in the set, the + computed paths may begin from any one of the start nodes. + + target : node label, optional + Ending node for path + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + distance, path : pair of dictionaries, or numeric and list + If target is None, returns a tuple of two dictionaries keyed by node. + The first dictionary stores distance from one of the source nodes. + The second stores the path from one of the sources to that node. + If target is not None, returns a tuple of (distance, path) where + distance is the distance from source to target and path is a list + representing the path from source to target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length, path = nx.multi_source_dijkstra(G, {0, 4}) + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"{node}: {length[node]}") + 0: 0 + 1: 1 + 2: 2 + 3: 1 + 4: 0 + >>> path[1] + [0, 1] + >>> path[3] + [4, 3] + + >>> length, path = nx.multi_source_dijkstra(G, {0, 4}, 1) + >>> length + 1 + >>> path + [0, 1] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + Based on the Python cookbook recipe (119466) at + https://code.activestate.com/recipes/119466/ + + This algorithm is not guaranteed to work if edge weights + are negative or are floating point numbers + (overflows and roundoff errors can cause problems). + + Raises + ------ + ValueError + If `sources` is empty. + NodeNotFound + If any of `sources` is not in `G`. + + See Also + -------- + multi_source_dijkstra_path + multi_source_dijkstra_path_length + + """ + if not sources: + raise ValueError("sources must not be empty") + for s in sources: + if s not in G: + raise nx.NodeNotFound(f"Node {s} not found in graph") + if target in sources: + return (0, [target]) + weight = _weight_function(G, weight) + paths = {source: [source] for source in sources} # dictionary of paths + dist = _dijkstra_multisource( + G, sources, weight, paths=paths, cutoff=cutoff, target=target + ) + if target is None: + return (dist, paths) + try: + return (dist[target], paths[target]) + except KeyError as err: + raise nx.NetworkXNoPath(f"No path to {target}.") from err + + +def _dijkstra(G, source, weight, pred=None, paths=None, cutoff=None, target=None): + """Uses Dijkstra's algorithm to find shortest weighted paths from a + single source. + + This is a convenience function for :func:`_dijkstra_multisource` + with all the arguments the same, except the keyword argument + `sources` set to ``[source]``. + + """ + return _dijkstra_multisource( + G, [source], weight, pred=pred, paths=paths, cutoff=cutoff, target=target + ) + + +def _dijkstra_multisource( + G, sources, weight, pred=None, paths=None, cutoff=None, target=None +): + """Uses Dijkstra's algorithm to find shortest weighted paths + + Parameters + ---------- + G : NetworkX graph + + sources : non-empty iterable of nodes + Starting nodes for paths. If this is just an iterable containing + a single node, then all paths computed by this function will + start from that node. If there are two or more nodes in this + iterable, the computed paths may begin from any one of the start + nodes. + + weight: function + Function with (u, v, data) input that returns that edge's weight + or None to indicate a hidden edge + + pred: dict of lists, optional(default=None) + dict to store a list of predecessors keyed by that node + If None, predecessors are not stored. + + paths: dict, optional (default=None) + dict to store the path list from source to each node, keyed by node. + If None, paths are not stored. + + target : node label, optional + Ending node for path. Search is halted when target is found. + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + Returns + ------- + distance : dictionary + A mapping from node to shortest distance to that node from one + of the source nodes. + + Raises + ------ + NodeNotFound + If any of `sources` is not in `G`. + + Notes + ----- + The optional predecessor and path dictionaries can be accessed by + the caller through the original pred and paths objects passed + as arguments. No need to explicitly return pred or paths. + + """ + G_succ = G._adj # For speed-up (and works for both directed and undirected graphs) + + push = heappush + pop = heappop + dist = {} # dictionary of final distances + seen = {} + # fringe is heapq with 3-tuples (distance,c,node) + # use the count c to avoid comparing nodes (may not be able to) + c = count() + fringe = [] + for source in sources: + seen[source] = 0 + push(fringe, (0, next(c), source)) + while fringe: + (d, _, v) = pop(fringe) + if v in dist: + continue # already searched this node. + dist[v] = d + if v == target: + break + for u, e in G_succ[v].items(): + cost = weight(v, u, e) + if cost is None: + continue + vu_dist = dist[v] + cost + if cutoff is not None: + if vu_dist > cutoff: + continue + if u in dist: + u_dist = dist[u] + if vu_dist < u_dist: + raise ValueError("Contradictory paths found:", "negative weights?") + elif pred is not None and vu_dist == u_dist: + pred[u].append(v) + elif u not in seen or vu_dist < seen[u]: + seen[u] = vu_dist + push(fringe, (vu_dist, next(c), u)) + if paths is not None: + paths[u] = paths[v] + [u] + if pred is not None: + pred[u] = [v] + elif vu_dist == seen[u]: + if pred is not None: + pred[u].append(v) + + # The optional predecessor and path dictionaries can be accessed + # by the caller via the pred and paths objects passed as arguments. + return dist + + +@nx._dispatchable(edge_attrs="weight") +def dijkstra_predecessor_and_distance(G, source, cutoff=None, weight="weight"): + """Compute weighted shortest path length and predecessors. + + Uses Dijkstra's Method to obtain the shortest weighted paths + and return dictionaries of predecessors for each node and + distance for each node from the `source`. + + Parameters + ---------- + G : NetworkX graph + + source : node label + Starting node for path + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + pred, distance : dictionaries + Returns two dictionaries representing a list of predecessors + of a node and the distance to each node. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The list of predecessors contains more than one element only when + there are more than one shortest paths to the key node. + + Examples + -------- + >>> G = nx.path_graph(5, create_using=nx.DiGraph()) + >>> pred, dist = nx.dijkstra_predecessor_and_distance(G, 0) + >>> sorted(pred.items()) + [(0, []), (1, [0]), (2, [1]), (3, [2]), (4, [3])] + >>> sorted(dist.items()) + [(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)] + + >>> pred, dist = nx.dijkstra_predecessor_and_distance(G, 0, 1) + >>> sorted(pred.items()) + [(0, []), (1, [0])] + >>> sorted(dist.items()) + [(0, 0), (1, 1)] + """ + if source not in G: + raise nx.NodeNotFound(f"Node {source} is not found in the graph") + weight = _weight_function(G, weight) + pred = {source: []} # dictionary of predecessors + return (pred, _dijkstra(G, source, weight, pred=pred, cutoff=cutoff)) + + +@nx._dispatchable(edge_attrs="weight") +def all_pairs_dijkstra(G, cutoff=None, weight="weight"): + """Find shortest weighted paths and lengths between all nodes. + + Parameters + ---------- + G : NetworkX graph + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edge[u][v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Yields + ------ + (node, (distance, path)) : (node obj, (dict, dict)) + Each source node has two associated dicts. The first holds distance + keyed by target and the second holds paths keyed by target. + (See single_source_dijkstra for the source/target node terminology.) + If desired you can apply `dict()` to this function to create a dict + keyed by source node to the two dicts. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> len_path = dict(nx.all_pairs_dijkstra(G)) + >>> len_path[3][0][1] + 2 + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"3 - {node}: {len_path[3][0][node]}") + 3 - 0: 3 + 3 - 1: 2 + 3 - 2: 1 + 3 - 3: 0 + 3 - 4: 1 + >>> len_path[3][1][1] + [3, 2, 1] + >>> for n, (dist, path) in nx.all_pairs_dijkstra(G): + ... print(path[1]) + [0, 1] + [1] + [2, 1] + [3, 2, 1] + [4, 3, 2, 1] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The yielded dicts only have keys for reachable nodes. + """ + for n in G: + dist, path = single_source_dijkstra(G, n, cutoff=cutoff, weight=weight) + yield (n, (dist, path)) + + +@nx._dispatchable(edge_attrs="weight") +def all_pairs_dijkstra_path_length(G, cutoff=None, weight="weight"): + """Compute shortest path lengths between all nodes in a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + distance : iterator + (source, dictionary) iterator with dictionary keyed by target and + shortest path length as the key value. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length = dict(nx.all_pairs_dijkstra_path_length(G)) + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"1 - {node}: {length[1][node]}") + 1 - 0: 1 + 1 - 1: 0 + 1 - 2: 1 + 1 - 3: 2 + 1 - 4: 3 + >>> length[3][2] + 1 + >>> length[2][2] + 0 + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The dictionary returned only has keys for reachable node pairs. + """ + length = single_source_dijkstra_path_length + for n in G: + yield (n, length(G, n, cutoff=cutoff, weight=weight)) + + +@nx._dispatchable(edge_attrs="weight") +def all_pairs_dijkstra_path(G, cutoff=None, weight="weight"): + """Compute shortest paths between all nodes in a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + cutoff : integer or float, optional + Length (sum of edge weights) at which the search is stopped. + If cutoff is provided, only return paths with summed weight <= cutoff. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + paths : iterator + (source, dictionary) iterator with dictionary keyed by target and + shortest path as the key value. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> path = dict(nx.all_pairs_dijkstra_path(G)) + >>> path[0][4] + [0, 1, 2, 3, 4] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + See Also + -------- + floyd_warshall, all_pairs_bellman_ford_path + + """ + path = single_source_dijkstra_path + # TODO This can be trivially parallelized. + for n in G: + yield (n, path(G, n, cutoff=cutoff, weight=weight)) + + +@nx._dispatchable(edge_attrs="weight") +def bellman_ford_predecessor_and_distance( + G, source, target=None, weight="weight", heuristic=False +): + """Compute shortest path lengths and predecessors on shortest paths + in weighted graphs. + + The algorithm has a running time of $O(mn)$ where $n$ is the number of + nodes and $m$ is the number of edges. It is slower than Dijkstra but + can handle negative edge weights. + + If a negative cycle is detected, you can use :func:`find_negative_cycle` + to return the cycle and examine it. Shortest paths are not defined when + a negative cycle exists because once reached, the path can cycle forever + to build up arbitrarily low weights. + + Parameters + ---------- + G : NetworkX graph + The algorithm works for all types of graphs, including directed + graphs and multigraphs. + + source: node label + Starting node for path + + target : node label, optional + Ending node for path + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + heuristic : bool + Determines whether to use a heuristic to early detect negative + cycles at a hopefully negligible cost. + + Returns + ------- + pred, dist : dictionaries + Returns two dictionaries keyed by node to predecessor in the + path and to the distance from the source respectively. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + NetworkXUnbounded + If the (di)graph contains a negative (di)cycle, the + algorithm raises an exception to indicate the presence of the + negative (di)cycle. Note: any negative weight edge in an + undirected graph is a negative cycle. + + Examples + -------- + >>> G = nx.path_graph(5, create_using=nx.DiGraph()) + >>> pred, dist = nx.bellman_ford_predecessor_and_distance(G, 0) + >>> sorted(pred.items()) + [(0, []), (1, [0]), (2, [1]), (3, [2]), (4, [3])] + >>> sorted(dist.items()) + [(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)] + + >>> pred, dist = nx.bellman_ford_predecessor_and_distance(G, 0, 1) + >>> sorted(pred.items()) + [(0, []), (1, [0]), (2, [1]), (3, [2]), (4, [3])] + >>> sorted(dist.items()) + [(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)] + + >>> G = nx.cycle_graph(5, create_using=nx.DiGraph()) + >>> G[1][2]["weight"] = -7 + >>> nx.bellman_ford_predecessor_and_distance(G, 0) + Traceback (most recent call last): + ... + networkx.exception.NetworkXUnbounded: Negative cycle detected. + + See Also + -------- + find_negative_cycle + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The dictionaries returned only have keys for nodes reachable from + the source. + + In the case where the (di)graph is not connected, if a component + not containing the source contains a negative (di)cycle, it + will not be detected. + + In NetworkX v2.1 and prior, the source node had predecessor `[None]`. + In NetworkX v2.2 this changed to the source node having predecessor `[]` + """ + if source not in G: + raise nx.NodeNotFound(f"Node {source} is not found in the graph") + weight = _weight_function(G, weight) + if G.is_multigraph(): + if any( + weight(u, v, {k: d}) < 0 + for u, v, k, d in nx.selfloop_edges(G, keys=True, data=True) + ): + raise nx.NetworkXUnbounded("Negative cycle detected.") + else: + if any(weight(u, v, d) < 0 for u, v, d in nx.selfloop_edges(G, data=True)): + raise nx.NetworkXUnbounded("Negative cycle detected.") + + dist = {source: 0} + pred = {source: []} + + if len(G) == 1: + return pred, dist + + weight = _weight_function(G, weight) + + dist = _bellman_ford( + G, [source], weight, pred=pred, dist=dist, target=target, heuristic=heuristic + ) + return (pred, dist) + + +def _bellman_ford( + G, + source, + weight, + pred=None, + paths=None, + dist=None, + target=None, + heuristic=True, +): + """Calls relaxation loop for Bellman–Ford algorithm and builds paths + + This is an implementation of the SPFA variant. + See https://en.wikipedia.org/wiki/Shortest_Path_Faster_Algorithm + + Parameters + ---------- + G : NetworkX graph + + source: list + List of source nodes. The shortest path from any of the source + nodes will be found if multiple sources are provided. + + weight : function + The weight of an edge is the value returned by the function. The + function must accept exactly three positional arguments: the two + endpoints of an edge and the dictionary of edge attributes for + that edge. The function must return a number. + + pred: dict of lists, optional (default=None) + dict to store a list of predecessors keyed by that node + If None, predecessors are not stored + + paths: dict, optional (default=None) + dict to store the path list from source to each node, keyed by node + If None, paths are not stored + + dist: dict, optional (default=None) + dict to store distance from source to the keyed node + If None, returned dist dict contents default to 0 for every node in the + source list + + target: node label, optional + Ending node for path. Path lengths to other destinations may (and + probably will) be incorrect. + + heuristic : bool + Determines whether to use a heuristic to early detect negative + cycles at a hopefully negligible cost. + + Returns + ------- + dist : dict + Returns a dict keyed by node to the distance from the source. + Dicts for paths and pred are in the mutated input dicts by those names. + + Raises + ------ + NodeNotFound + If any of `source` is not in `G`. + + NetworkXUnbounded + If the (di)graph contains a negative (di)cycle, the + algorithm raises an exception to indicate the presence of the + negative (di)cycle. Note: any negative weight edge in an + undirected graph is a negative cycle + """ + if pred is None: + pred = {v: [] for v in source} + + if dist is None: + dist = {v: 0 for v in source} + + negative_cycle_found = _inner_bellman_ford( + G, + source, + weight, + pred, + dist, + heuristic, + ) + if negative_cycle_found is not None: + raise nx.NetworkXUnbounded("Negative cycle detected.") + + if paths is not None: + sources = set(source) + dsts = [target] if target is not None else pred + for dst in dsts: + gen = _build_paths_from_predecessors(sources, dst, pred) + paths[dst] = next(gen) + + return dist + + +def _inner_bellman_ford( + G, + sources, + weight, + pred, + dist=None, + heuristic=True, +): + """Inner Relaxation loop for Bellman–Ford algorithm. + + This is an implementation of the SPFA variant. + See https://en.wikipedia.org/wiki/Shortest_Path_Faster_Algorithm + + Parameters + ---------- + G : NetworkX graph + + source: list + List of source nodes. The shortest path from any of the source + nodes will be found if multiple sources are provided. + + weight : function + The weight of an edge is the value returned by the function. The + function must accept exactly three positional arguments: the two + endpoints of an edge and the dictionary of edge attributes for + that edge. The function must return a number. + + pred: dict of lists + dict to store a list of predecessors keyed by that node + + dist: dict, optional (default=None) + dict to store distance from source to the keyed node + If None, returned dist dict contents default to 0 for every node in the + source list + + heuristic : bool + Determines whether to use a heuristic to early detect negative + cycles at a hopefully negligible cost. + + Returns + ------- + node or None + Return a node `v` where processing discovered a negative cycle. + If no negative cycle found, return None. + + Raises + ------ + NodeNotFound + If any of `source` is not in `G`. + """ + for s in sources: + if s not in G: + raise nx.NodeNotFound(f"Source {s} not in G") + + if pred is None: + pred = {v: [] for v in sources} + + if dist is None: + dist = {v: 0 for v in sources} + + # Heuristic Storage setup. Note: use None because nodes cannot be None + nonexistent_edge = (None, None) + pred_edge = {v: None for v in sources} + recent_update = {v: nonexistent_edge for v in sources} + + G_succ = G._adj # For speed-up (and works for both directed and undirected graphs) + inf = float("inf") + n = len(G) + + count = {} + q = deque(sources) + in_q = set(sources) + while q: + u = q.popleft() + in_q.remove(u) + + # Skip relaxations if any of the predecessors of u is in the queue. + if all(pred_u not in in_q for pred_u in pred[u]): + dist_u = dist[u] + for v, e in G_succ[u].items(): + dist_v = dist_u + weight(u, v, e) + + if dist_v < dist.get(v, inf): + # In this conditional branch we are updating the path with v. + # If it happens that some earlier update also added node v + # that implies the existence of a negative cycle since + # after the update node v would lie on the update path twice. + # The update path is stored up to one of the source nodes, + # therefore u is always in the dict recent_update + if heuristic: + if v in recent_update[u]: + # Negative cycle found! + pred[v].append(u) + return v + + # Transfer the recent update info from u to v if the + # same source node is the head of the update path. + # If the source node is responsible for the cost update, + # then clear the history and use it instead. + if v in pred_edge and pred_edge[v] == u: + recent_update[v] = recent_update[u] + else: + recent_update[v] = (u, v) + + if v not in in_q: + q.append(v) + in_q.add(v) + count_v = count.get(v, 0) + 1 + if count_v == n: + # Negative cycle found! + return v + + count[v] = count_v + dist[v] = dist_v + pred[v] = [u] + pred_edge[v] = u + + elif dist.get(v) is not None and dist_v == dist.get(v): + pred[v].append(u) + + # successfully found shortest_path. No negative cycles found. + return None + + +@nx._dispatchable(edge_attrs="weight") +def bellman_ford_path(G, source, target, weight="weight"): + """Returns the shortest path from source to target in a weighted graph G. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node + + target : node + Ending node + + weight : string or function (default="weight") + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + path : list + List of nodes in a shortest path. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + NetworkXNoPath + If no path exists between source and target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.bellman_ford_path(G, 0, 4) + [0, 1, 2, 3, 4] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + See Also + -------- + dijkstra_path, bellman_ford_path_length + """ + length, path = single_source_bellman_ford(G, source, target=target, weight=weight) + return path + + +@nx._dispatchable(edge_attrs="weight") +def bellman_ford_path_length(G, source, target, weight="weight"): + """Returns the shortest path length from source to target + in a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + source : node label + starting node for path + + target : node label + ending node for path + + weight : string or function (default="weight") + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + length : number + Shortest path length. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + NetworkXNoPath + If no path exists between source and target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.bellman_ford_path_length(G, 0, 4) + 4 + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + See Also + -------- + dijkstra_path_length, bellman_ford_path + """ + if source == target: + if source not in G: + raise nx.NodeNotFound(f"Node {source} not found in graph") + return 0 + + weight = _weight_function(G, weight) + + length = _bellman_ford(G, [source], weight, target=target) + + try: + return length[target] + except KeyError as err: + raise nx.NetworkXNoPath(f"node {target} not reachable from {source}") from err + + +@nx._dispatchable(edge_attrs="weight") +def single_source_bellman_ford_path(G, source, weight="weight"): + """Compute shortest path between source and all other reachable + nodes for a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for path. + + weight : string or function (default="weight") + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + paths : dictionary + Dictionary of shortest path lengths keyed by target. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> path = nx.single_source_bellman_ford_path(G, 0) + >>> path[4] + [0, 1, 2, 3, 4] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + See Also + -------- + single_source_dijkstra, single_source_bellman_ford + + """ + (length, path) = single_source_bellman_ford(G, source, weight=weight) + return path + + +@nx._dispatchable(edge_attrs="weight") +def single_source_bellman_ford_path_length(G, source, weight="weight"): + """Compute the shortest path length between source and all other + reachable nodes for a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + source : node label + Starting node for path + + weight : string or function (default="weight") + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + length : dictionary + Dictionary of shortest path length keyed by target + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length = nx.single_source_bellman_ford_path_length(G, 0) + >>> length[4] + 4 + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"{node}: {length[node]}") + 0: 0 + 1: 1 + 2: 2 + 3: 3 + 4: 4 + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + See Also + -------- + single_source_dijkstra, single_source_bellman_ford + + """ + weight = _weight_function(G, weight) + return _bellman_ford(G, [source], weight) + + +@nx._dispatchable(edge_attrs="weight") +def single_source_bellman_ford(G, source, target=None, weight="weight"): + """Compute shortest paths and lengths in a weighted graph G. + + Uses Bellman-Ford algorithm for shortest paths. + + Parameters + ---------- + G : NetworkX graph + + source : node label + Starting node for path + + target : node label, optional + Ending node for path + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + distance, path : pair of dictionaries, or numeric and list + If target is None, returns a tuple of two dictionaries keyed by node. + The first dictionary stores distance from one of the source nodes. + The second stores the path from one of the sources to that node. + If target is not None, returns a tuple of (distance, path) where + distance is the distance from source to target and path is a list + representing the path from source to target. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length, path = nx.single_source_bellman_ford(G, 0) + >>> length[4] + 4 + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"{node}: {length[node]}") + 0: 0 + 1: 1 + 2: 2 + 3: 3 + 4: 4 + >>> path[4] + [0, 1, 2, 3, 4] + >>> length, path = nx.single_source_bellman_ford(G, 0, 1) + >>> length + 1 + >>> path + [0, 1] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + See Also + -------- + single_source_dijkstra + single_source_bellman_ford_path + single_source_bellman_ford_path_length + """ + if source == target: + if source not in G: + raise nx.NodeNotFound(f"Node {source} is not found in the graph") + return (0, [source]) + + weight = _weight_function(G, weight) + + paths = {source: [source]} # dictionary of paths + dist = _bellman_ford(G, [source], weight, paths=paths, target=target) + if target is None: + return (dist, paths) + try: + return (dist[target], paths[target]) + except KeyError as err: + msg = f"Node {target} not reachable from {source}" + raise nx.NetworkXNoPath(msg) from err + + +@nx._dispatchable(edge_attrs="weight") +def all_pairs_bellman_ford_path_length(G, weight="weight"): + """Compute shortest path lengths between all nodes in a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + weight : string or function (default="weight") + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + distance : iterator + (source, dictionary) iterator with dictionary keyed by target and + shortest path length as the key value. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length = dict(nx.all_pairs_bellman_ford_path_length(G)) + >>> for node in [0, 1, 2, 3, 4]: + ... print(f"1 - {node}: {length[1][node]}") + 1 - 0: 1 + 1 - 1: 0 + 1 - 2: 1 + 1 - 3: 2 + 1 - 4: 3 + >>> length[3][2] + 1 + >>> length[2][2] + 0 + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The dictionary returned only has keys for reachable node pairs. + """ + length = single_source_bellman_ford_path_length + for n in G: + yield (n, dict(length(G, n, weight=weight))) + + +@nx._dispatchable(edge_attrs="weight") +def all_pairs_bellman_ford_path(G, weight="weight"): + """Compute shortest paths between all nodes in a weighted graph. + + Parameters + ---------- + G : NetworkX graph + + weight : string or function (default="weight") + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + paths : iterator + (source, dictionary) iterator with dictionary keyed by target and + shortest path as the key value. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> path = dict(nx.all_pairs_bellman_ford_path(G)) + >>> path[0][4] + [0, 1, 2, 3, 4] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + See Also + -------- + floyd_warshall, all_pairs_dijkstra_path + + """ + path = single_source_bellman_ford_path + for n in G: + yield (n, path(G, n, weight=weight)) + + +@nx._dispatchable(edge_attrs="weight") +def goldberg_radzik(G, source, weight="weight"): + """Compute shortest path lengths and predecessors on shortest paths + in weighted graphs. + + The algorithm has a running time of $O(mn)$ where $n$ is the number of + nodes and $m$ is the number of edges. It is slower than Dijkstra but + can handle negative edge weights. + + Parameters + ---------- + G : NetworkX graph + The algorithm works for all types of graphs, including directed + graphs and multigraphs. + + source: node label + Starting node for path + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + pred, dist : dictionaries + Returns two dictionaries keyed by node to predecessor in the + path and to the distance from the source respectively. + + Raises + ------ + NodeNotFound + If `source` is not in `G`. + + NetworkXUnbounded + If the (di)graph contains a negative (di)cycle, the + algorithm raises an exception to indicate the presence of the + negative (di)cycle. Note: any negative weight edge in an + undirected graph is a negative cycle. + + As of NetworkX v3.2, a zero weight cycle is no longer + incorrectly reported as a negative weight cycle. + + + Examples + -------- + >>> G = nx.path_graph(5, create_using=nx.DiGraph()) + >>> pred, dist = nx.goldberg_radzik(G, 0) + >>> sorted(pred.items()) + [(0, None), (1, 0), (2, 1), (3, 2), (4, 3)] + >>> sorted(dist.items()) + [(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)] + + >>> G = nx.cycle_graph(5, create_using=nx.DiGraph()) + >>> G[1][2]["weight"] = -7 + >>> nx.goldberg_radzik(G, 0) + Traceback (most recent call last): + ... + networkx.exception.NetworkXUnbounded: Negative cycle detected. + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The dictionaries returned only have keys for nodes reachable from + the source. + + In the case where the (di)graph is not connected, if a component + not containing the source contains a negative (di)cycle, it + will not be detected. + + """ + if source not in G: + raise nx.NodeNotFound(f"Node {source} is not found in the graph") + weight = _weight_function(G, weight) + if G.is_multigraph(): + if any( + weight(u, v, {k: d}) < 0 + for u, v, k, d in nx.selfloop_edges(G, keys=True, data=True) + ): + raise nx.NetworkXUnbounded("Negative cycle detected.") + else: + if any(weight(u, v, d) < 0 for u, v, d in nx.selfloop_edges(G, data=True)): + raise nx.NetworkXUnbounded("Negative cycle detected.") + + if len(G) == 1: + return {source: None}, {source: 0} + + G_succ = G._adj # For speed-up (and works for both directed and undirected graphs) + + inf = float("inf") + d = {u: inf for u in G} + d[source] = 0 + pred = {source: None} + + def topo_sort(relabeled): + """Topologically sort nodes relabeled in the previous round and detect + negative cycles. + """ + # List of nodes to scan in this round. Denoted by A in Goldberg and + # Radzik's paper. + to_scan = [] + # In the DFS in the loop below, neg_count records for each node the + # number of edges of negative reduced costs on the path from a DFS root + # to the node in the DFS forest. The reduced cost of an edge (u, v) is + # defined as d[u] + weight[u][v] - d[v]. + # + # neg_count also doubles as the DFS visit marker array. + neg_count = {} + for u in relabeled: + # Skip visited nodes. + if u in neg_count: + continue + d_u = d[u] + # Skip nodes without out-edges of negative reduced costs. + if all(d_u + weight(u, v, e) >= d[v] for v, e in G_succ[u].items()): + continue + # Nonrecursive DFS that inserts nodes reachable from u via edges of + # nonpositive reduced costs into to_scan in (reverse) topological + # order. + stack = [(u, iter(G_succ[u].items()))] + in_stack = {u} + neg_count[u] = 0 + while stack: + u, it = stack[-1] + try: + v, e = next(it) + except StopIteration: + to_scan.append(u) + stack.pop() + in_stack.remove(u) + continue + t = d[u] + weight(u, v, e) + d_v = d[v] + if t < d_v: + is_neg = t < d_v + d[v] = t + pred[v] = u + if v not in neg_count: + neg_count[v] = neg_count[u] + int(is_neg) + stack.append((v, iter(G_succ[v].items()))) + in_stack.add(v) + elif v in in_stack and neg_count[u] + int(is_neg) > neg_count[v]: + # (u, v) is a back edge, and the cycle formed by the + # path v to u and (u, v) contains at least one edge of + # negative reduced cost. The cycle must be of negative + # cost. + raise nx.NetworkXUnbounded("Negative cycle detected.") + to_scan.reverse() + return to_scan + + def relax(to_scan): + """Relax out-edges of relabeled nodes.""" + relabeled = set() + # Scan nodes in to_scan in topological order and relax incident + # out-edges. Add the relabled nodes to labeled. + for u in to_scan: + d_u = d[u] + for v, e in G_succ[u].items(): + w_e = weight(u, v, e) + if d_u + w_e < d[v]: + d[v] = d_u + w_e + pred[v] = u + relabeled.add(v) + return relabeled + + # Set of nodes relabled in the last round of scan operations. Denoted by B + # in Goldberg and Radzik's paper. + relabeled = {source} + + while relabeled: + to_scan = topo_sort(relabeled) + relabeled = relax(to_scan) + + d = {u: d[u] for u in pred} + return pred, d + + +@nx._dispatchable(edge_attrs="weight") +def negative_edge_cycle(G, weight="weight", heuristic=True): + """Returns True if there exists a negative edge cycle anywhere in G. + + Parameters + ---------- + G : NetworkX graph + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + heuristic : bool + Determines whether to use a heuristic to early detect negative + cycles at a negligible cost. In case of graphs with a negative cycle, + the performance of detection increases by at least an order of magnitude. + + Returns + ------- + negative_cycle : bool + True if a negative edge cycle exists, otherwise False. + + Examples + -------- + >>> G = nx.cycle_graph(5, create_using=nx.DiGraph()) + >>> print(nx.negative_edge_cycle(G)) + False + >>> G[1][2]["weight"] = -7 + >>> print(nx.negative_edge_cycle(G)) + True + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + This algorithm uses bellman_ford_predecessor_and_distance() but finds + negative cycles on any component by first adding a new node connected to + every node, and starting bellman_ford_predecessor_and_distance on that + node. It then removes that extra node. + """ + if G.size() == 0: + return False + + # find unused node to use temporarily + newnode = -1 + while newnode in G: + newnode -= 1 + # connect it to all nodes + G.add_edges_from([(newnode, n) for n in G]) + + try: + bellman_ford_predecessor_and_distance( + G, newnode, weight=weight, heuristic=heuristic + ) + except nx.NetworkXUnbounded: + return True + finally: + G.remove_node(newnode) + return False + + +@nx._dispatchable(edge_attrs="weight") +def find_negative_cycle(G, source, weight="weight"): + """Returns a cycle with negative total weight if it exists. + + Bellman-Ford is used to find shortest_paths. That algorithm + stops if there exists a negative cycle. This algorithm + picks up from there and returns the found negative cycle. + + The cycle consists of a list of nodes in the cycle order. The last + node equals the first to make it a cycle. + You can look up the edge weights in the original graph. In the case + of multigraphs the relevant edge is the minimal weight edge between + the nodes in the 2-tuple. + + If the graph has no negative cycle, a NetworkXError is raised. + + Parameters + ---------- + G : NetworkX graph + + source: node label + The search for the negative cycle will start from this node. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_weighted_edges_from( + ... [(0, 1, 2), (1, 2, 2), (2, 0, 1), (1, 4, 2), (4, 0, -5)] + ... ) + >>> nx.find_negative_cycle(G, 0) + [4, 0, 1, 4] + + Returns + ------- + cycle : list + A list of nodes in the order of the cycle found. The last node + equals the first to indicate a cycle. + + Raises + ------ + NetworkXError + If no negative cycle is found. + """ + weight = _weight_function(G, weight) + pred = {source: []} + + v = _inner_bellman_ford(G, [source], weight, pred=pred) + if v is None: + raise nx.NetworkXError("No negative cycles detected.") + + # negative cycle detected... find it + neg_cycle = [] + stack = [(v, list(pred[v]))] + seen = {v} + while stack: + node, preds = stack[-1] + if v in preds: + # found the cycle + neg_cycle.extend([node, v]) + neg_cycle = list(reversed(neg_cycle)) + return neg_cycle + + if preds: + nbr = preds.pop() + if nbr not in seen: + stack.append((nbr, list(pred[nbr]))) + neg_cycle.append(node) + seen.add(nbr) + else: + stack.pop() + if neg_cycle: + neg_cycle.pop() + else: + if v in G[v] and weight(G, v, v) < 0: + return [v, v] + # should not reach here + raise nx.NetworkXError("Negative cycle is detected but not found") + # should not get here... + msg = "negative cycle detected but not identified" + raise nx.NetworkXUnbounded(msg) + + +@nx._dispatchable(edge_attrs="weight") +def bidirectional_dijkstra(G, source, target, weight="weight"): + r"""Dijkstra's algorithm for shortest paths using bidirectional search. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node. + + target : node + Ending node. + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number or None to indicate a hidden edge. + + Returns + ------- + length, path : number and list + length is the distance from source to target. + path is a list of nodes on a path from source to target. + + Raises + ------ + NodeNotFound + If `source` or `target` is not in `G`. + + NetworkXNoPath + If no path exists between source and target. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> length, path = nx.bidirectional_dijkstra(G, 0, 4) + >>> print(length) + 4 + >>> print(path) + [0, 1, 2, 3, 4] + + Notes + ----- + Edge weight attributes must be numerical. + Distances are calculated as sums of weighted edges traversed. + + The weight function can be used to hide edges by returning None. + So ``weight = lambda u, v, d: 1 if d['color']=="red" else None`` + will find the shortest red path. + + In practice bidirectional Dijkstra is much more than twice as fast as + ordinary Dijkstra. + + Ordinary Dijkstra expands nodes in a sphere-like manner from the + source. The radius of this sphere will eventually be the length + of the shortest path. Bidirectional Dijkstra will expand nodes + from both the source and the target, making two spheres of half + this radius. Volume of the first sphere is `\pi*r*r` while the + others are `2*\pi*r/2*r/2`, making up half the volume. + + This algorithm is not guaranteed to work if edge weights + are negative or are floating point numbers + (overflows and roundoff errors can cause problems). + + See Also + -------- + shortest_path + shortest_path_length + """ + if source not in G: + raise nx.NodeNotFound(f"Source {source} is not in G") + + if target not in G: + raise nx.NodeNotFound(f"Target {target} is not in G") + + if source == target: + return (0, [source]) + + weight = _weight_function(G, weight) + push = heappush + pop = heappop + # Init: [Forward, Backward] + dists = [{}, {}] # dictionary of final distances + paths = [{source: [source]}, {target: [target]}] # dictionary of paths + fringe = [[], []] # heap of (distance, node) for choosing node to expand + seen = [{source: 0}, {target: 0}] # dict of distances to seen nodes + c = count() + # initialize fringe heap + push(fringe[0], (0, next(c), source)) + push(fringe[1], (0, next(c), target)) + # neighs for extracting correct neighbor information + if G.is_directed(): + neighs = [G._succ, G._pred] + else: + neighs = [G._adj, G._adj] + # variables to hold shortest discovered path + # finaldist = 1e30000 + finalpath = [] + dir = 1 + while fringe[0] and fringe[1]: + # choose direction + # dir == 0 is forward direction and dir == 1 is back + dir = 1 - dir + # extract closest to expand + (dist, _, v) = pop(fringe[dir]) + if v in dists[dir]: + # Shortest path to v has already been found + continue + # update distance + dists[dir][v] = dist # equal to seen[dir][v] + if v in dists[1 - dir]: + # if we have scanned v in both directions we are done + # we have now discovered the shortest path + return (finaldist, finalpath) + + for w, d in neighs[dir][v].items(): + # weight(v, w, d) for forward and weight(w, v, d) for back direction + cost = weight(v, w, d) if dir == 0 else weight(w, v, d) + if cost is None: + continue + vwLength = dists[dir][v] + cost + if w in dists[dir]: + if vwLength < dists[dir][w]: + raise ValueError("Contradictory paths found: negative weights?") + elif w not in seen[dir] or vwLength < seen[dir][w]: + # relaxing + seen[dir][w] = vwLength + push(fringe[dir], (vwLength, next(c), w)) + paths[dir][w] = paths[dir][v] + [w] + if w in seen[0] and w in seen[1]: + # see if this path is better than the already + # discovered shortest path + totaldist = seen[0][w] + seen[1][w] + if finalpath == [] or finaldist > totaldist: + finaldist = totaldist + revpath = paths[1][w][:] + revpath.reverse() + finalpath = paths[0][w] + revpath[1:] + raise nx.NetworkXNoPath(f"No path between {source} and {target}.") + + +@nx._dispatchable(edge_attrs="weight") +def johnson(G, weight="weight"): + r"""Uses Johnson's Algorithm to compute shortest paths. + + Johnson's Algorithm finds a shortest path between each pair of + nodes in a weighted graph even if negative weights are present. + + Parameters + ---------- + G : NetworkX graph + + weight : string or function + If this is a string, then edge weights will be accessed via the + edge attribute with this key (that is, the weight of the edge + joining `u` to `v` will be ``G.edges[u, v][weight]``). If no + such edge attribute exists, the weight of the edge is assumed to + be one. + + If this is a function, the weight of an edge is the value + returned by the function. The function must accept exactly three + positional arguments: the two endpoints of an edge and the + dictionary of edge attributes for that edge. The function must + return a number. + + Returns + ------- + distance : dictionary + Dictionary, keyed by source and target, of shortest paths. + + Examples + -------- + >>> graph = nx.DiGraph() + >>> graph.add_weighted_edges_from( + ... [("0", "3", 3), ("0", "1", -5), ("0", "2", 2), ("1", "2", 4), ("2", "3", 1)] + ... ) + >>> paths = nx.johnson(graph, weight="weight") + >>> paths["0"]["2"] + ['0', '1', '2'] + + Notes + ----- + Johnson's algorithm is suitable even for graphs with negative weights. It + works by using the Bellman–Ford algorithm to compute a transformation of + the input graph that removes all negative weights, allowing Dijkstra's + algorithm to be used on the transformed graph. + + The time complexity of this algorithm is $O(n^2 \log n + n m)$, + where $n$ is the number of nodes and $m$ the number of edges in the + graph. For dense graphs, this may be faster than the Floyd–Warshall + algorithm. + + See Also + -------- + floyd_warshall_predecessor_and_distance + floyd_warshall_numpy + all_pairs_shortest_path + all_pairs_shortest_path_length + all_pairs_dijkstra_path + bellman_ford_predecessor_and_distance + all_pairs_bellman_ford_path + all_pairs_bellman_ford_path_length + + """ + dist = {v: 0 for v in G} + pred = {v: [] for v in G} + weight = _weight_function(G, weight) + + # Calculate distance of shortest paths + dist_bellman = _bellman_ford(G, list(G), weight, pred=pred, dist=dist) + + # Update the weight function to take into account the Bellman--Ford + # relaxation distances. + def new_weight(u, v, d): + return weight(u, v, d) + dist_bellman[u] - dist_bellman[v] + + def dist_path(v): + paths = {v: [v]} + _dijkstra(G, v, new_weight, paths=paths) + return paths + + return {v: dist_path(v) for v in G} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_asteroidal.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_asteroidal.py new file mode 100644 index 0000000000000000000000000000000000000000..67131b2d05026317b496d06e6b382836c8c26367 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_asteroidal.py @@ -0,0 +1,23 @@ +import networkx as nx + + +def test_is_at_free(): + is_at_free = nx.asteroidal.is_at_free + + cycle = nx.cycle_graph(6) + assert not is_at_free(cycle) + + path = nx.path_graph(6) + assert is_at_free(path) + + small_graph = nx.complete_graph(2) + assert is_at_free(small_graph) + + petersen = nx.petersen_graph() + assert not is_at_free(petersen) + + clique = nx.complete_graph(6) + assert is_at_free(clique) + + line_clique = nx.line_graph(clique) + assert not is_at_free(line_clique) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_boundary.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_boundary.py new file mode 100644 index 0000000000000000000000000000000000000000..856be465556941fe6f2bfc2c8bab6d4b508cf999 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_boundary.py @@ -0,0 +1,154 @@ +"""Unit tests for the :mod:`networkx.algorithms.boundary` module.""" + +from itertools import combinations + +import pytest + +import networkx as nx +from networkx import convert_node_labels_to_integers as cnlti +from networkx.utils import edges_equal + + +class TestNodeBoundary: + """Unit tests for the :func:`~networkx.node_boundary` function.""" + + def test_null_graph(self): + """Tests that the null graph has empty node boundaries.""" + null = nx.null_graph() + assert nx.node_boundary(null, []) == set() + assert nx.node_boundary(null, [], []) == set() + assert nx.node_boundary(null, [1, 2, 3]) == set() + assert nx.node_boundary(null, [1, 2, 3], [4, 5, 6]) == set() + assert nx.node_boundary(null, [1, 2, 3], [3, 4, 5]) == set() + + def test_path_graph(self): + P10 = cnlti(nx.path_graph(10), first_label=1) + assert nx.node_boundary(P10, []) == set() + assert nx.node_boundary(P10, [], []) == set() + assert nx.node_boundary(P10, [1, 2, 3]) == {4} + assert nx.node_boundary(P10, [4, 5, 6]) == {3, 7} + assert nx.node_boundary(P10, [3, 4, 5, 6, 7]) == {2, 8} + assert nx.node_boundary(P10, [8, 9, 10]) == {7} + assert nx.node_boundary(P10, [4, 5, 6], [9, 10]) == set() + + def test_complete_graph(self): + K10 = cnlti(nx.complete_graph(10), first_label=1) + assert nx.node_boundary(K10, []) == set() + assert nx.node_boundary(K10, [], []) == set() + assert nx.node_boundary(K10, [1, 2, 3]) == {4, 5, 6, 7, 8, 9, 10} + assert nx.node_boundary(K10, [4, 5, 6]) == {1, 2, 3, 7, 8, 9, 10} + assert nx.node_boundary(K10, [3, 4, 5, 6, 7]) == {1, 2, 8, 9, 10} + assert nx.node_boundary(K10, [4, 5, 6], []) == set() + assert nx.node_boundary(K10, K10) == set() + assert nx.node_boundary(K10, [1, 2, 3], [3, 4, 5]) == {4, 5} + + def test_petersen(self): + """Check boundaries in the petersen graph + + cheeger(G,k)=min(|bdy(S)|/|S| for |S|=k, 0>> list(cycles("abc")) + [('a', 'b', 'c'), ('b', 'c', 'a'), ('c', 'a', 'b')] + + """ + n = len(seq) + cycled_seq = cycle(seq) + for x in seq: + yield tuple(islice(cycled_seq, n)) + next(cycled_seq) + + +def cyclic_equals(seq1, seq2): + """Decide whether two sequences are equal up to cyclic permutations. + + For example:: + + >>> cyclic_equals("xyz", "zxy") + True + >>> cyclic_equals("xyz", "zyx") + False + + """ + # Cast seq2 to a tuple since `cycles()` yields tuples. + seq2 = tuple(seq2) + return any(x == tuple(seq2) for x in cycles(seq1)) + + +class TestChainDecomposition: + """Unit tests for the chain decomposition function.""" + + def assertContainsChain(self, chain, expected): + # A cycle could be expressed in two different orientations, one + # forward and one backward, so we need to check for cyclic + # equality in both orientations. + reversed_chain = list(reversed([tuple(reversed(e)) for e in chain])) + for candidate in expected: + if cyclic_equals(chain, candidate): + break + if cyclic_equals(reversed_chain, candidate): + break + else: + self.fail("chain not found") + + def test_decomposition(self): + edges = [ + # DFS tree edges. + (1, 2), + (2, 3), + (3, 4), + (3, 5), + (5, 6), + (6, 7), + (7, 8), + (5, 9), + (9, 10), + # Nontree edges. + (1, 3), + (1, 4), + (2, 5), + (5, 10), + (6, 8), + ] + G = nx.Graph(edges) + expected = [ + [(1, 3), (3, 2), (2, 1)], + [(1, 4), (4, 3)], + [(2, 5), (5, 3)], + [(5, 10), (10, 9), (9, 5)], + [(6, 8), (8, 7), (7, 6)], + ] + chains = list(nx.chain_decomposition(G, root=1)) + assert len(chains) == len(expected) + + # This chain decomposition isn't unique + # for chain in chains: + # print(chain) + # self.assertContainsChain(chain, expected) + + def test_barbell_graph(self): + # The (3, 0) barbell graph has two triangles joined by a single edge. + G = nx.barbell_graph(3, 0) + chains = list(nx.chain_decomposition(G, root=0)) + expected = [[(0, 1), (1, 2), (2, 0)], [(3, 4), (4, 5), (5, 3)]] + assert len(chains) == len(expected) + for chain in chains: + self.assertContainsChain(chain, expected) + + def test_disconnected_graph(self): + """Test for a graph with multiple connected components.""" + G = nx.barbell_graph(3, 0) + H = nx.barbell_graph(3, 0) + mapping = dict(zip(range(6), "abcdef")) + nx.relabel_nodes(H, mapping, copy=False) + G = nx.union(G, H) + chains = list(nx.chain_decomposition(G)) + expected = [ + [(0, 1), (1, 2), (2, 0)], + [(3, 4), (4, 5), (5, 3)], + [("a", "b"), ("b", "c"), ("c", "a")], + [("d", "e"), ("e", "f"), ("f", "d")], + ] + assert len(chains) == len(expected) + for chain in chains: + self.assertContainsChain(chain, expected) + + def test_disconnected_graph_root_node(self): + """Test for a single component of a disconnected graph.""" + G = nx.barbell_graph(3, 0) + H = nx.barbell_graph(3, 0) + mapping = dict(zip(range(6), "abcdef")) + nx.relabel_nodes(H, mapping, copy=False) + G = nx.union(G, H) + chains = list(nx.chain_decomposition(G, root="a")) + expected = [ + [("a", "b"), ("b", "c"), ("c", "a")], + [("d", "e"), ("e", "f"), ("f", "d")], + ] + assert len(chains) == len(expected) + for chain in chains: + self.assertContainsChain(chain, expected) + + def test_chain_decomposition_root_not_in_G(self): + """Test chain decomposition when root is not in graph""" + G = nx.Graph() + G.add_nodes_from([1, 2, 3]) + with pytest.raises(nx.NodeNotFound): + nx.has_bridges(G, root=6) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_chordal.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_chordal.py new file mode 100644 index 0000000000000000000000000000000000000000..148b22f2632d722522483b556f11285a8e823126 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_chordal.py @@ -0,0 +1,129 @@ +import pytest + +import networkx as nx + + +class TestMCS: + @classmethod + def setup_class(cls): + # simple graph + connected_chordal_G = nx.Graph() + connected_chordal_G.add_edges_from( + [ + (1, 2), + (1, 3), + (2, 3), + (2, 4), + (3, 4), + (3, 5), + (3, 6), + (4, 5), + (4, 6), + (5, 6), + ] + ) + cls.connected_chordal_G = connected_chordal_G + + chordal_G = nx.Graph() + chordal_G.add_edges_from( + [ + (1, 2), + (1, 3), + (2, 3), + (2, 4), + (3, 4), + (3, 5), + (3, 6), + (4, 5), + (4, 6), + (5, 6), + (7, 8), + ] + ) + chordal_G.add_node(9) + cls.chordal_G = chordal_G + + non_chordal_G = nx.Graph() + non_chordal_G.add_edges_from([(1, 2), (1, 3), (2, 4), (2, 5), (3, 4), (3, 5)]) + cls.non_chordal_G = non_chordal_G + + self_loop_G = nx.Graph() + self_loop_G.add_edges_from([(1, 1)]) + cls.self_loop_G = self_loop_G + + @pytest.mark.parametrize("G", (nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph())) + def test_is_chordal_not_implemented(self, G): + with pytest.raises(nx.NetworkXNotImplemented): + nx.is_chordal(G) + + def test_is_chordal(self): + assert not nx.is_chordal(self.non_chordal_G) + assert nx.is_chordal(self.chordal_G) + assert nx.is_chordal(self.connected_chordal_G) + assert nx.is_chordal(nx.Graph()) + assert nx.is_chordal(nx.complete_graph(3)) + assert nx.is_chordal(nx.cycle_graph(3)) + assert not nx.is_chordal(nx.cycle_graph(5)) + assert nx.is_chordal(self.self_loop_G) + + def test_induced_nodes(self): + G = nx.generators.classic.path_graph(10) + Induced_nodes = nx.find_induced_nodes(G, 1, 9, 2) + assert Induced_nodes == {1, 2, 3, 4, 5, 6, 7, 8, 9} + pytest.raises( + nx.NetworkXTreewidthBoundExceeded, nx.find_induced_nodes, G, 1, 9, 1 + ) + Induced_nodes = nx.find_induced_nodes(self.chordal_G, 1, 6) + assert Induced_nodes == {1, 2, 4, 6} + pytest.raises(nx.NetworkXError, nx.find_induced_nodes, self.non_chordal_G, 1, 5) + + def test_graph_treewidth(self): + with pytest.raises(nx.NetworkXError, match="Input graph is not chordal"): + nx.chordal_graph_treewidth(self.non_chordal_G) + + def test_chordal_find_cliques(self): + cliques = { + frozenset([9]), + frozenset([7, 8]), + frozenset([1, 2, 3]), + frozenset([2, 3, 4]), + frozenset([3, 4, 5, 6]), + } + assert set(nx.chordal_graph_cliques(self.chordal_G)) == cliques + with pytest.raises(nx.NetworkXError, match="Input graph is not chordal"): + set(nx.chordal_graph_cliques(self.non_chordal_G)) + with pytest.raises(nx.NetworkXError, match="Input graph is not chordal"): + set(nx.chordal_graph_cliques(self.self_loop_G)) + + def test_chordal_find_cliques_path(self): + G = nx.path_graph(10) + cliqueset = nx.chordal_graph_cliques(G) + for u, v in G.edges(): + assert frozenset([u, v]) in cliqueset or frozenset([v, u]) in cliqueset + + def test_chordal_find_cliquesCC(self): + cliques = {frozenset([1, 2, 3]), frozenset([2, 3, 4]), frozenset([3, 4, 5, 6])} + cgc = nx.chordal_graph_cliques + assert set(cgc(self.connected_chordal_G)) == cliques + + def test_complete_to_chordal_graph(self): + fgrg = nx.fast_gnp_random_graph + test_graphs = [ + nx.barbell_graph(6, 2), + nx.cycle_graph(15), + nx.wheel_graph(20), + nx.grid_graph([10, 4]), + nx.ladder_graph(15), + nx.star_graph(5), + nx.bull_graph(), + fgrg(20, 0.3, seed=1), + ] + for G in test_graphs: + H, a = nx.complete_to_chordal_graph(G) + assert nx.is_chordal(H) + assert len(a) == H.number_of_nodes() + if nx.is_chordal(G): + assert G.number_of_edges() == H.number_of_edges() + assert set(a.values()) == {0} + else: + assert len(set(a.values())) == H.number_of_nodes() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_clique.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_clique.py new file mode 100644 index 0000000000000000000000000000000000000000..3bee210982888a142f07a043bbde24bdad80fae9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_clique.py @@ -0,0 +1,291 @@ +import pytest + +import networkx as nx +from networkx import convert_node_labels_to_integers as cnlti + + +class TestCliques: + def setup_method(self): + z = [3, 4, 3, 4, 2, 4, 2, 1, 1, 1, 1] + self.G = cnlti(nx.generators.havel_hakimi_graph(z), first_label=1) + self.cl = list(nx.find_cliques(self.G)) + H = nx.complete_graph(6) + H = nx.relabel_nodes(H, {i: i + 1 for i in range(6)}) + H.remove_edges_from([(2, 6), (2, 5), (2, 4), (1, 3), (5, 3)]) + self.H = H + + def test_find_cliques1(self): + cl = list(nx.find_cliques(self.G)) + rcl = nx.find_cliques_recursive(self.G) + expected = [[2, 6, 1, 3], [2, 6, 4], [5, 4, 7], [8, 9], [10, 11]] + assert sorted(map(sorted, cl)) == sorted(map(sorted, rcl)) + assert sorted(map(sorted, cl)) == sorted(map(sorted, expected)) + + def test_selfloops(self): + self.G.add_edge(1, 1) + cl = list(nx.find_cliques(self.G)) + rcl = list(nx.find_cliques_recursive(self.G)) + assert set(map(frozenset, cl)) == set(map(frozenset, rcl)) + answer = [{2, 6, 1, 3}, {2, 6, 4}, {5, 4, 7}, {8, 9}, {10, 11}] + assert len(answer) == len(cl) + assert all(set(c) in answer for c in cl) + + def test_find_cliques2(self): + hcl = list(nx.find_cliques(self.H)) + assert sorted(map(sorted, hcl)) == [[1, 2], [1, 4, 5, 6], [2, 3], [3, 4, 6]] + + def test_find_cliques3(self): + # all cliques are [[2, 6, 1, 3], [2, 6, 4], [5, 4, 7], [8, 9], [10, 11]] + + cl = list(nx.find_cliques(self.G, [2])) + rcl = nx.find_cliques_recursive(self.G, [2]) + expected = [[2, 6, 1, 3], [2, 6, 4]] + assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected)) + assert sorted(map(sorted, cl)) == sorted(map(sorted, expected)) + + cl = list(nx.find_cliques(self.G, [2, 3])) + rcl = nx.find_cliques_recursive(self.G, [2, 3]) + expected = [[2, 6, 1, 3]] + assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected)) + assert sorted(map(sorted, cl)) == sorted(map(sorted, expected)) + + cl = list(nx.find_cliques(self.G, [2, 6, 4])) + rcl = nx.find_cliques_recursive(self.G, [2, 6, 4]) + expected = [[2, 6, 4]] + assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected)) + assert sorted(map(sorted, cl)) == sorted(map(sorted, expected)) + + cl = list(nx.find_cliques(self.G, [2, 6, 4])) + rcl = nx.find_cliques_recursive(self.G, [2, 6, 4]) + expected = [[2, 6, 4]] + assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected)) + assert sorted(map(sorted, cl)) == sorted(map(sorted, expected)) + + with pytest.raises(ValueError): + list(nx.find_cliques(self.G, [2, 6, 4, 1])) + + with pytest.raises(ValueError): + list(nx.find_cliques_recursive(self.G, [2, 6, 4, 1])) + + def test_number_of_cliques(self): + G = self.G + assert nx.number_of_cliques(G, 1) == 1 + assert list(nx.number_of_cliques(G, [1]).values()) == [1] + assert list(nx.number_of_cliques(G, [1, 2]).values()) == [1, 2] + assert nx.number_of_cliques(G, [1, 2]) == {1: 1, 2: 2} + assert nx.number_of_cliques(G, 2) == 2 + assert nx.number_of_cliques(G) == { + 1: 1, + 2: 2, + 3: 1, + 4: 2, + 5: 1, + 6: 2, + 7: 1, + 8: 1, + 9: 1, + 10: 1, + 11: 1, + } + assert nx.number_of_cliques(G, nodes=list(G)) == { + 1: 1, + 2: 2, + 3: 1, + 4: 2, + 5: 1, + 6: 2, + 7: 1, + 8: 1, + 9: 1, + 10: 1, + 11: 1, + } + assert nx.number_of_cliques(G, nodes=[2, 3, 4]) == {2: 2, 3: 1, 4: 2} + assert nx.number_of_cliques(G, cliques=self.cl) == { + 1: 1, + 2: 2, + 3: 1, + 4: 2, + 5: 1, + 6: 2, + 7: 1, + 8: 1, + 9: 1, + 10: 1, + 11: 1, + } + assert nx.number_of_cliques(G, list(G), cliques=self.cl) == { + 1: 1, + 2: 2, + 3: 1, + 4: 2, + 5: 1, + 6: 2, + 7: 1, + 8: 1, + 9: 1, + 10: 1, + 11: 1, + } + + def test_node_clique_number(self): + G = self.G + assert nx.node_clique_number(G, 1) == 4 + assert list(nx.node_clique_number(G, [1]).values()) == [4] + assert list(nx.node_clique_number(G, [1, 2]).values()) == [4, 4] + assert nx.node_clique_number(G, [1, 2]) == {1: 4, 2: 4} + assert nx.node_clique_number(G, 1) == 4 + assert nx.node_clique_number(G) == { + 1: 4, + 2: 4, + 3: 4, + 4: 3, + 5: 3, + 6: 4, + 7: 3, + 8: 2, + 9: 2, + 10: 2, + 11: 2, + } + assert nx.node_clique_number(G, cliques=self.cl) == { + 1: 4, + 2: 4, + 3: 4, + 4: 3, + 5: 3, + 6: 4, + 7: 3, + 8: 2, + 9: 2, + 10: 2, + 11: 2, + } + assert nx.node_clique_number(G, [1, 2], cliques=self.cl) == {1: 4, 2: 4} + assert nx.node_clique_number(G, 1, cliques=self.cl) == 4 + + def test_make_clique_bipartite(self): + G = self.G + B = nx.make_clique_bipartite(G) + assert sorted(B) == [-5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11] + # Project onto the nodes of the original graph. + H = nx.projected_graph(B, range(1, 12)) + assert H.adj == G.adj + # Project onto the nodes representing the cliques. + H1 = nx.projected_graph(B, range(-5, 0)) + # Relabel the negative numbers as positive ones. + H1 = nx.relabel_nodes(H1, {-v: v for v in range(1, 6)}) + assert sorted(H1) == [1, 2, 3, 4, 5] + + def test_make_max_clique_graph(self): + """Tests that the maximal clique graph is the same as the bipartite + clique graph after being projected onto the nodes representing the + cliques. + + """ + G = self.G + B = nx.make_clique_bipartite(G) + # Project onto the nodes representing the cliques. + H1 = nx.projected_graph(B, range(-5, 0)) + # Relabel the negative numbers as nonnegative ones, starting at + # 0. + H1 = nx.relabel_nodes(H1, {-v: v - 1 for v in range(1, 6)}) + H2 = nx.make_max_clique_graph(G) + assert H1.adj == H2.adj + + def test_directed(self): + with pytest.raises(nx.NetworkXNotImplemented): + next(nx.find_cliques(nx.DiGraph())) + + def test_find_cliques_trivial(self): + G = nx.Graph() + assert sorted(nx.find_cliques(G)) == [] + assert sorted(nx.find_cliques_recursive(G)) == [] + + def test_make_max_clique_graph_create_using(self): + G = nx.Graph([(1, 2), (3, 1), (4, 1), (5, 6)]) + E = nx.Graph([(0, 1), (0, 2), (1, 2)]) + E.add_node(3) + assert nx.is_isomorphic(nx.make_max_clique_graph(G, create_using=nx.Graph), E) + + +class TestEnumerateAllCliques: + def test_paper_figure_4(self): + # Same graph as given in Fig. 4 of paper enumerate_all_cliques is + # based on. + # http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1559964&isnumber=33129 + G = nx.Graph() + edges_fig_4 = [ + ("a", "b"), + ("a", "c"), + ("a", "d"), + ("a", "e"), + ("b", "c"), + ("b", "d"), + ("b", "e"), + ("c", "d"), + ("c", "e"), + ("d", "e"), + ("f", "b"), + ("f", "c"), + ("f", "g"), + ("g", "f"), + ("g", "c"), + ("g", "d"), + ("g", "e"), + ] + G.add_edges_from(edges_fig_4) + + cliques = list(nx.enumerate_all_cliques(G)) + clique_sizes = list(map(len, cliques)) + assert sorted(clique_sizes) == clique_sizes + + expected_cliques = [ + ["a"], + ["b"], + ["c"], + ["d"], + ["e"], + ["f"], + ["g"], + ["a", "b"], + ["a", "b", "d"], + ["a", "b", "d", "e"], + ["a", "b", "e"], + ["a", "c"], + ["a", "c", "d"], + ["a", "c", "d", "e"], + ["a", "c", "e"], + ["a", "d"], + ["a", "d", "e"], + ["a", "e"], + ["b", "c"], + ["b", "c", "d"], + ["b", "c", "d", "e"], + ["b", "c", "e"], + ["b", "c", "f"], + ["b", "d"], + ["b", "d", "e"], + ["b", "e"], + ["b", "f"], + ["c", "d"], + ["c", "d", "e"], + ["c", "d", "e", "g"], + ["c", "d", "g"], + ["c", "e"], + ["c", "e", "g"], + ["c", "f"], + ["c", "f", "g"], + ["c", "g"], + ["d", "e"], + ["d", "e", "g"], + ["d", "g"], + ["e", "g"], + ["f", "g"], + ["a", "b", "c"], + ["a", "b", "c", "d"], + ["a", "b", "c", "d", "e"], + ["a", "b", "c", "e"], + ] + + assert sorted(map(sorted, cliques)) == sorted(map(sorted, expected_cliques)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cluster.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cluster.py new file mode 100644 index 0000000000000000000000000000000000000000..b656ba81553bc9bdca1fe828c5e9c01427c43555 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cluster.py @@ -0,0 +1,549 @@ +import pytest + +import networkx as nx + + +class TestTriangles: + def test_empty(self): + G = nx.Graph() + assert list(nx.triangles(G).values()) == [] + + def test_path(self): + G = nx.path_graph(10) + assert list(nx.triangles(G).values()) == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + assert nx.triangles(G) == { + 0: 0, + 1: 0, + 2: 0, + 3: 0, + 4: 0, + 5: 0, + 6: 0, + 7: 0, + 8: 0, + 9: 0, + } + + def test_cubical(self): + G = nx.cubical_graph() + assert list(nx.triangles(G).values()) == [0, 0, 0, 0, 0, 0, 0, 0] + assert nx.triangles(G, 1) == 0 + assert list(nx.triangles(G, [1, 2]).values()) == [0, 0] + assert nx.triangles(G, 1) == 0 + assert nx.triangles(G, [1, 2]) == {1: 0, 2: 0} + + def test_k5(self): + G = nx.complete_graph(5) + assert list(nx.triangles(G).values()) == [6, 6, 6, 6, 6] + assert sum(nx.triangles(G).values()) / 3 == 10 + assert nx.triangles(G, 1) == 6 + G.remove_edge(1, 2) + assert list(nx.triangles(G).values()) == [5, 3, 3, 5, 5] + assert nx.triangles(G, 1) == 3 + G.add_edge(3, 3) # ignore self-edges + assert list(nx.triangles(G).values()) == [5, 3, 3, 5, 5] + assert nx.triangles(G, 3) == 5 + + +class TestDirectedClustering: + def test_clustering(self): + G = nx.DiGraph() + assert list(nx.clustering(G).values()) == [] + assert nx.clustering(G) == {} + + def test_path(self): + G = nx.path_graph(10, create_using=nx.DiGraph()) + assert list(nx.clustering(G).values()) == [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + ] + assert nx.clustering(G) == { + 0: 0, + 1: 0, + 2: 0, + 3: 0, + 4: 0, + 5: 0, + 6: 0, + 7: 0, + 8: 0, + 9: 0, + } + assert nx.clustering(G, 0) == 0 + + def test_k5(self): + G = nx.complete_graph(5, create_using=nx.DiGraph()) + assert list(nx.clustering(G).values()) == [1, 1, 1, 1, 1] + assert nx.average_clustering(G) == 1 + G.remove_edge(1, 2) + assert list(nx.clustering(G).values()) == [ + 11 / 12, + 1, + 1, + 11 / 12, + 11 / 12, + ] + assert nx.clustering(G, [1, 4]) == {1: 1, 4: 11 / 12} + G.remove_edge(2, 1) + assert list(nx.clustering(G).values()) == [ + 5 / 6, + 1, + 1, + 5 / 6, + 5 / 6, + ] + assert nx.clustering(G, [1, 4]) == {1: 1, 4: 0.83333333333333337} + assert nx.clustering(G, 4) == 5 / 6 + + def test_triangle_and_edge(self): + G = nx.cycle_graph(3, create_using=nx.DiGraph()) + G.add_edge(0, 4) + assert nx.clustering(G)[0] == 1 / 6 + + +class TestDirectedWeightedClustering: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + + def test_clustering(self): + G = nx.DiGraph() + assert list(nx.clustering(G, weight="weight").values()) == [] + assert nx.clustering(G) == {} + + def test_path(self): + G = nx.path_graph(10, create_using=nx.DiGraph()) + assert list(nx.clustering(G, weight="weight").values()) == [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + ] + assert nx.clustering(G, weight="weight") == { + 0: 0, + 1: 0, + 2: 0, + 3: 0, + 4: 0, + 5: 0, + 6: 0, + 7: 0, + 8: 0, + 9: 0, + } + + def test_k5(self): + G = nx.complete_graph(5, create_using=nx.DiGraph()) + assert list(nx.clustering(G, weight="weight").values()) == [1, 1, 1, 1, 1] + assert nx.average_clustering(G, weight="weight") == 1 + G.remove_edge(1, 2) + assert list(nx.clustering(G, weight="weight").values()) == [ + 11 / 12, + 1, + 1, + 11 / 12, + 11 / 12, + ] + assert nx.clustering(G, [1, 4], weight="weight") == {1: 1, 4: 11 / 12} + G.remove_edge(2, 1) + assert list(nx.clustering(G, weight="weight").values()) == [ + 5 / 6, + 1, + 1, + 5 / 6, + 5 / 6, + ] + assert nx.clustering(G, [1, 4], weight="weight") == { + 1: 1, + 4: 0.83333333333333337, + } + + def test_triangle_and_edge(self): + G = nx.cycle_graph(3, create_using=nx.DiGraph()) + G.add_edge(0, 4, weight=2) + assert nx.clustering(G)[0] == 1 / 6 + # Relaxed comparisons to allow graphblas-algorithms to pass tests + np.testing.assert_allclose(nx.clustering(G, weight="weight")[0], 1 / 12) + np.testing.assert_allclose(nx.clustering(G, 0, weight="weight"), 1 / 12) + + +class TestWeightedClustering: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + + def test_clustering(self): + G = nx.Graph() + assert list(nx.clustering(G, weight="weight").values()) == [] + assert nx.clustering(G) == {} + + def test_path(self): + G = nx.path_graph(10) + assert list(nx.clustering(G, weight="weight").values()) == [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + ] + assert nx.clustering(G, weight="weight") == { + 0: 0, + 1: 0, + 2: 0, + 3: 0, + 4: 0, + 5: 0, + 6: 0, + 7: 0, + 8: 0, + 9: 0, + } + + def test_cubical(self): + G = nx.cubical_graph() + assert list(nx.clustering(G, weight="weight").values()) == [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + ] + assert nx.clustering(G, 1) == 0 + assert list(nx.clustering(G, [1, 2], weight="weight").values()) == [0, 0] + assert nx.clustering(G, 1, weight="weight") == 0 + assert nx.clustering(G, [1, 2], weight="weight") == {1: 0, 2: 0} + + def test_k5(self): + G = nx.complete_graph(5) + assert list(nx.clustering(G, weight="weight").values()) == [1, 1, 1, 1, 1] + assert nx.average_clustering(G, weight="weight") == 1 + G.remove_edge(1, 2) + assert list(nx.clustering(G, weight="weight").values()) == [ + 5 / 6, + 1, + 1, + 5 / 6, + 5 / 6, + ] + assert nx.clustering(G, [1, 4], weight="weight") == { + 1: 1, + 4: 0.83333333333333337, + } + + def test_triangle_and_edge(self): + G = nx.cycle_graph(3) + G.add_edge(0, 4, weight=2) + assert nx.clustering(G)[0] == 1 / 3 + np.testing.assert_allclose(nx.clustering(G, weight="weight")[0], 1 / 6) + np.testing.assert_allclose(nx.clustering(G, 0, weight="weight"), 1 / 6) + + def test_triangle_and_signed_edge(self): + G = nx.cycle_graph(3) + G.add_edge(0, 1, weight=-1) + G.add_edge(3, 0, weight=0) + assert nx.clustering(G)[0] == 1 / 3 + assert nx.clustering(G, weight="weight")[0] == -1 / 3 + + +class TestClustering: + @classmethod + def setup_class(cls): + pytest.importorskip("numpy") + + def test_clustering(self): + G = nx.Graph() + assert list(nx.clustering(G).values()) == [] + assert nx.clustering(G) == {} + + def test_path(self): + G = nx.path_graph(10) + assert list(nx.clustering(G).values()) == [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + ] + assert nx.clustering(G) == { + 0: 0, + 1: 0, + 2: 0, + 3: 0, + 4: 0, + 5: 0, + 6: 0, + 7: 0, + 8: 0, + 9: 0, + } + + def test_cubical(self): + G = nx.cubical_graph() + assert list(nx.clustering(G).values()) == [0, 0, 0, 0, 0, 0, 0, 0] + assert nx.clustering(G, 1) == 0 + assert list(nx.clustering(G, [1, 2]).values()) == [0, 0] + assert nx.clustering(G, 1) == 0 + assert nx.clustering(G, [1, 2]) == {1: 0, 2: 0} + + def test_k5(self): + G = nx.complete_graph(5) + assert list(nx.clustering(G).values()) == [1, 1, 1, 1, 1] + assert nx.average_clustering(G) == 1 + G.remove_edge(1, 2) + assert list(nx.clustering(G).values()) == [ + 5 / 6, + 1, + 1, + 5 / 6, + 5 / 6, + ] + assert nx.clustering(G, [1, 4]) == {1: 1, 4: 0.83333333333333337} + + def test_k5_signed(self): + G = nx.complete_graph(5) + assert list(nx.clustering(G).values()) == [1, 1, 1, 1, 1] + assert nx.average_clustering(G) == 1 + G.remove_edge(1, 2) + G.add_edge(0, 1, weight=-1) + assert list(nx.clustering(G, weight="weight").values()) == [ + 1 / 6, + -1 / 3, + 1, + 3 / 6, + 3 / 6, + ] + + +class TestTransitivity: + def test_transitivity(self): + G = nx.Graph() + assert nx.transitivity(G) == 0 + + def test_path(self): + G = nx.path_graph(10) + assert nx.transitivity(G) == 0 + + def test_cubical(self): + G = nx.cubical_graph() + assert nx.transitivity(G) == 0 + + def test_k5(self): + G = nx.complete_graph(5) + assert nx.transitivity(G) == 1 + G.remove_edge(1, 2) + assert nx.transitivity(G) == 0.875 + + +class TestSquareClustering: + def test_clustering(self): + G = nx.Graph() + assert list(nx.square_clustering(G).values()) == [] + assert nx.square_clustering(G) == {} + + def test_path(self): + G = nx.path_graph(10) + assert list(nx.square_clustering(G).values()) == [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + ] + assert nx.square_clustering(G) == { + 0: 0, + 1: 0, + 2: 0, + 3: 0, + 4: 0, + 5: 0, + 6: 0, + 7: 0, + 8: 0, + 9: 0, + } + + def test_cubical(self): + G = nx.cubical_graph() + assert list(nx.square_clustering(G).values()) == [ + 1 / 3, + 1 / 3, + 1 / 3, + 1 / 3, + 1 / 3, + 1 / 3, + 1 / 3, + 1 / 3, + ] + assert list(nx.square_clustering(G, [1, 2]).values()) == [1 / 3, 1 / 3] + assert nx.square_clustering(G, [1])[1] == 1 / 3 + assert nx.square_clustering(G, 1) == 1 / 3 + assert nx.square_clustering(G, [1, 2]) == {1: 1 / 3, 2: 1 / 3} + + def test_k5(self): + G = nx.complete_graph(5) + assert list(nx.square_clustering(G).values()) == [1, 1, 1, 1, 1] + + def test_bipartite_k5(self): + G = nx.complete_bipartite_graph(5, 5) + assert list(nx.square_clustering(G).values()) == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] + + def test_lind_square_clustering(self): + """Test C4 for figure 1 Lind et al (2005)""" + G = nx.Graph( + [ + (1, 2), + (1, 3), + (1, 6), + (1, 7), + (2, 4), + (2, 5), + (3, 4), + (3, 5), + (6, 7), + (7, 8), + (6, 8), + (7, 9), + (7, 10), + (6, 11), + (6, 12), + (2, 13), + (2, 14), + (3, 15), + (3, 16), + ] + ) + G1 = G.subgraph([1, 2, 3, 4, 5, 13, 14, 15, 16]) + G2 = G.subgraph([1, 6, 7, 8, 9, 10, 11, 12]) + assert nx.square_clustering(G, [1])[1] == 3 / 43 + assert nx.square_clustering(G1, [1])[1] == 2 / 6 + assert nx.square_clustering(G2, [1])[1] == 1 / 5 + + def test_peng_square_clustering(self): + """Test eq2 for figure 1 Peng et al (2008)""" + G = nx.Graph([(1, 2), (1, 3), (2, 4), (3, 4), (3, 5), (3, 6)]) + assert nx.square_clustering(G, [1])[1] == 1 / 3 + + def test_self_loops_square_clustering(self): + G = nx.path_graph(5) + assert nx.square_clustering(G) == {0: 0, 1: 0.0, 2: 0.0, 3: 0.0, 4: 0} + G.add_edges_from([(0, 0), (1, 1), (2, 2)]) + assert nx.square_clustering(G) == {0: 1, 1: 0.5, 2: 0.2, 3: 0.0, 4: 0} + + +class TestAverageClustering: + @classmethod + def setup_class(cls): + pytest.importorskip("numpy") + + def test_empty(self): + G = nx.Graph() + with pytest.raises(ZeroDivisionError): + nx.average_clustering(G) + + def test_average_clustering(self): + G = nx.cycle_graph(3) + G.add_edge(2, 3) + assert nx.average_clustering(G) == (1 + 1 + 1 / 3) / 4 + assert nx.average_clustering(G, count_zeros=True) == (1 + 1 + 1 / 3) / 4 + assert nx.average_clustering(G, count_zeros=False) == (1 + 1 + 1 / 3) / 3 + assert nx.average_clustering(G, [1, 2, 3]) == (1 + 1 / 3) / 3 + assert nx.average_clustering(G, [1, 2, 3], count_zeros=True) == (1 + 1 / 3) / 3 + assert nx.average_clustering(G, [1, 2, 3], count_zeros=False) == (1 + 1 / 3) / 2 + + def test_average_clustering_signed(self): + G = nx.cycle_graph(3) + G.add_edge(2, 3) + G.add_edge(0, 1, weight=-1) + assert nx.average_clustering(G, weight="weight") == (-1 - 1 - 1 / 3) / 4 + assert ( + nx.average_clustering(G, weight="weight", count_zeros=True) + == (-1 - 1 - 1 / 3) / 4 + ) + assert ( + nx.average_clustering(G, weight="weight", count_zeros=False) + == (-1 - 1 - 1 / 3) / 3 + ) + + +class TestDirectedAverageClustering: + @classmethod + def setup_class(cls): + pytest.importorskip("numpy") + + def test_empty(self): + G = nx.DiGraph() + with pytest.raises(ZeroDivisionError): + nx.average_clustering(G) + + def test_average_clustering(self): + G = nx.cycle_graph(3, create_using=nx.DiGraph()) + G.add_edge(2, 3) + assert nx.average_clustering(G) == (1 + 1 + 1 / 3) / 8 + assert nx.average_clustering(G, count_zeros=True) == (1 + 1 + 1 / 3) / 8 + assert nx.average_clustering(G, count_zeros=False) == (1 + 1 + 1 / 3) / 6 + assert nx.average_clustering(G, [1, 2, 3]) == (1 + 1 / 3) / 6 + assert nx.average_clustering(G, [1, 2, 3], count_zeros=True) == (1 + 1 / 3) / 6 + assert nx.average_clustering(G, [1, 2, 3], count_zeros=False) == (1 + 1 / 3) / 4 + + +class TestGeneralizedDegree: + def test_generalized_degree(self): + G = nx.Graph() + assert nx.generalized_degree(G) == {} + + def test_path(self): + G = nx.path_graph(5) + assert nx.generalized_degree(G, 0) == {0: 1} + assert nx.generalized_degree(G, 1) == {0: 2} + + def test_cubical(self): + G = nx.cubical_graph() + assert nx.generalized_degree(G, 0) == {0: 3} + + def test_k5(self): + G = nx.complete_graph(5) + assert nx.generalized_degree(G, 0) == {3: 4} + G.remove_edge(0, 1) + assert nx.generalized_degree(G, 0) == {2: 3} + assert nx.generalized_degree(G, [1, 2]) == {1: {2: 3}, 2: {2: 2, 3: 2}} + assert nx.generalized_degree(G) == { + 0: {2: 3}, + 1: {2: 3}, + 2: {2: 2, 3: 2}, + 3: {2: 2, 3: 2}, + 4: {2: 2, 3: 2}, + } diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_communicability.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_communicability.py new file mode 100644 index 0000000000000000000000000000000000000000..0f447094548415c089710b9b62ac4d73a27efeb5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_communicability.py @@ -0,0 +1,80 @@ +from collections import defaultdict + +import pytest + +pytest.importorskip("numpy") +pytest.importorskip("scipy") + +import networkx as nx +from networkx.algorithms.communicability_alg import communicability, communicability_exp + + +class TestCommunicability: + def test_communicability(self): + answer = { + 0: {0: 1.5430806348152435, 1: 1.1752011936438012}, + 1: {0: 1.1752011936438012, 1: 1.5430806348152435}, + } + # answer={(0, 0): 1.5430806348152435, + # (0, 1): 1.1752011936438012, + # (1, 0): 1.1752011936438012, + # (1, 1): 1.5430806348152435} + + result = communicability(nx.path_graph(2)) + for k1, val in result.items(): + for k2 in val: + assert answer[k1][k2] == pytest.approx(result[k1][k2], abs=1e-7) + + def test_communicability2(self): + answer_orig = { + ("1", "1"): 1.6445956054135658, + ("1", "Albert"): 0.7430186221096251, + ("1", "Aric"): 0.7430186221096251, + ("1", "Dan"): 1.6208126320442937, + ("1", "Franck"): 0.42639707170035257, + ("Albert", "1"): 0.7430186221096251, + ("Albert", "Albert"): 2.4368257358712189, + ("Albert", "Aric"): 1.4368257358712191, + ("Albert", "Dan"): 2.0472097037446453, + ("Albert", "Franck"): 1.8340111678944691, + ("Aric", "1"): 0.7430186221096251, + ("Aric", "Albert"): 1.4368257358712191, + ("Aric", "Aric"): 2.4368257358712193, + ("Aric", "Dan"): 2.0472097037446457, + ("Aric", "Franck"): 1.8340111678944691, + ("Dan", "1"): 1.6208126320442937, + ("Dan", "Albert"): 2.0472097037446453, + ("Dan", "Aric"): 2.0472097037446457, + ("Dan", "Dan"): 3.1306328496328168, + ("Dan", "Franck"): 1.4860372442192515, + ("Franck", "1"): 0.42639707170035257, + ("Franck", "Albert"): 1.8340111678944691, + ("Franck", "Aric"): 1.8340111678944691, + ("Franck", "Dan"): 1.4860372442192515, + ("Franck", "Franck"): 2.3876142275231915, + } + + answer = defaultdict(dict) + for (k1, k2), v in answer_orig.items(): + answer[k1][k2] = v + + G1 = nx.Graph( + [ + ("Franck", "Aric"), + ("Aric", "Dan"), + ("Dan", "Albert"), + ("Albert", "Franck"), + ("Dan", "1"), + ("Franck", "Albert"), + ] + ) + + result = communicability(G1) + for k1, val in result.items(): + for k2 in val: + assert answer[k1][k2] == pytest.approx(result[k1][k2], abs=1e-7) + + result = communicability_exp(G1) + for k1, val in result.items(): + for k2 in val: + assert answer[k1][k2] == pytest.approx(result[k1][k2], abs=1e-7) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_core.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_core.py new file mode 100644 index 0000000000000000000000000000000000000000..726e98a70033e6320a031889aac24a03af82b441 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_core.py @@ -0,0 +1,266 @@ +import pytest + +import networkx as nx +from networkx.utils import nodes_equal + + +class TestCore: + @classmethod + def setup_class(cls): + # G is the example graph in Figure 1 from Batagelj and + # Zaversnik's paper titled An O(m) Algorithm for Cores + # Decomposition of Networks, 2003, + # http://arXiv.org/abs/cs/0310049. With nodes labeled as + # shown, the 3-core is given by nodes 1-8, the 2-core by nodes + # 9-16, the 1-core by nodes 17-20 and node 21 is in the + # 0-core. + t1 = nx.convert_node_labels_to_integers(nx.tetrahedral_graph(), 1) + t2 = nx.convert_node_labels_to_integers(t1, 5) + G = nx.union(t1, t2) + G.add_edges_from( + [ + (3, 7), + (2, 11), + (11, 5), + (11, 12), + (5, 12), + (12, 19), + (12, 18), + (3, 9), + (7, 9), + (7, 10), + (9, 10), + (9, 20), + (17, 13), + (13, 14), + (14, 15), + (15, 16), + (16, 13), + ] + ) + G.add_node(21) + cls.G = G + + # Create the graph H resulting from the degree sequence + # [0, 1, 2, 2, 2, 2, 3] when using the Havel-Hakimi algorithm. + + degseq = [0, 1, 2, 2, 2, 2, 3] + H = nx.havel_hakimi_graph(degseq) + mapping = {6: 0, 0: 1, 4: 3, 5: 6, 3: 4, 1: 2, 2: 5} + cls.H = nx.relabel_nodes(H, mapping) + + def test_trivial(self): + """Empty graph""" + G = nx.Graph() + assert nx.core_number(G) == {} + + def test_core_number(self): + core = nx.core_number(self.G) + nodes_by_core = [sorted(n for n in core if core[n] == val) for val in range(4)] + assert nodes_equal(nodes_by_core[0], [21]) + assert nodes_equal(nodes_by_core[1], [17, 18, 19, 20]) + assert nodes_equal(nodes_by_core[2], [9, 10, 11, 12, 13, 14, 15, 16]) + assert nodes_equal(nodes_by_core[3], [1, 2, 3, 4, 5, 6, 7, 8]) + + def test_core_number2(self): + core = nx.core_number(self.H) + nodes_by_core = [sorted(n for n in core if core[n] == val) for val in range(3)] + assert nodes_equal(nodes_by_core[0], [0]) + assert nodes_equal(nodes_by_core[1], [1, 3]) + assert nodes_equal(nodes_by_core[2], [2, 4, 5, 6]) + + def test_core_number_multigraph(self): + G = nx.complete_graph(3) + G = nx.MultiGraph(G) + G.add_edge(1, 2) + with pytest.raises( + nx.NetworkXNotImplemented, match="not implemented for multigraph type" + ): + nx.core_number(G) + + def test_core_number_self_loop(self): + G = nx.cycle_graph(3) + G.add_edge(0, 0) + with pytest.raises( + nx.NetworkXNotImplemented, match="Input graph has self loops" + ): + nx.core_number(G) + + def test_directed_core_number(self): + """core number had a bug for directed graphs found in issue #1959""" + # small example where too timid edge removal can make cn[2] = 3 + G = nx.DiGraph() + edges = [(1, 2), (2, 1), (2, 3), (2, 4), (3, 4), (4, 3)] + G.add_edges_from(edges) + assert nx.core_number(G) == {1: 2, 2: 2, 3: 2, 4: 2} + # small example where too aggressive edge removal can make cn[2] = 2 + more_edges = [(1, 5), (3, 5), (4, 5), (3, 6), (4, 6), (5, 6)] + G.add_edges_from(more_edges) + assert nx.core_number(G) == {1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3} + + def test_main_core(self): + main_core_subgraph = nx.k_core(self.H) + assert sorted(main_core_subgraph.nodes()) == [2, 4, 5, 6] + + def test_k_core(self): + # k=0 + k_core_subgraph = nx.k_core(self.H, k=0) + assert sorted(k_core_subgraph.nodes()) == sorted(self.H.nodes()) + # k=1 + k_core_subgraph = nx.k_core(self.H, k=1) + assert sorted(k_core_subgraph.nodes()) == [1, 2, 3, 4, 5, 6] + # k = 2 + k_core_subgraph = nx.k_core(self.H, k=2) + assert sorted(k_core_subgraph.nodes()) == [2, 4, 5, 6] + + def test_k_core_multigraph(self): + core_number = nx.core_number(self.H) + H = nx.MultiGraph(self.H) + with pytest.deprecated_call(): + nx.k_core(H, k=0, core_number=core_number) + + def test_main_crust(self): + main_crust_subgraph = nx.k_crust(self.H) + assert sorted(main_crust_subgraph.nodes()) == [0, 1, 3] + + def test_k_crust(self): + # k = 0 + k_crust_subgraph = nx.k_crust(self.H, k=2) + assert sorted(k_crust_subgraph.nodes()) == sorted(self.H.nodes()) + # k=1 + k_crust_subgraph = nx.k_crust(self.H, k=1) + assert sorted(k_crust_subgraph.nodes()) == [0, 1, 3] + # k=2 + k_crust_subgraph = nx.k_crust(self.H, k=0) + assert sorted(k_crust_subgraph.nodes()) == [0] + + def test_k_crust_multigraph(self): + core_number = nx.core_number(self.H) + H = nx.MultiGraph(self.H) + with pytest.deprecated_call(): + nx.k_crust(H, k=0, core_number=core_number) + + def test_main_shell(self): + main_shell_subgraph = nx.k_shell(self.H) + assert sorted(main_shell_subgraph.nodes()) == [2, 4, 5, 6] + + def test_k_shell(self): + # k=0 + k_shell_subgraph = nx.k_shell(self.H, k=2) + assert sorted(k_shell_subgraph.nodes()) == [2, 4, 5, 6] + # k=1 + k_shell_subgraph = nx.k_shell(self.H, k=1) + assert sorted(k_shell_subgraph.nodes()) == [1, 3] + # k=2 + k_shell_subgraph = nx.k_shell(self.H, k=0) + assert sorted(k_shell_subgraph.nodes()) == [0] + + def test_k_shell_multigraph(self): + core_number = nx.core_number(self.H) + H = nx.MultiGraph(self.H) + with pytest.deprecated_call(): + nx.k_shell(H, k=0, core_number=core_number) + + def test_k_corona(self): + # k=0 + k_corona_subgraph = nx.k_corona(self.H, k=2) + assert sorted(k_corona_subgraph.nodes()) == [2, 4, 5, 6] + # k=1 + k_corona_subgraph = nx.k_corona(self.H, k=1) + assert sorted(k_corona_subgraph.nodes()) == [1] + # k=2 + k_corona_subgraph = nx.k_corona(self.H, k=0) + assert sorted(k_corona_subgraph.nodes()) == [0] + + def test_k_corona_multigraph(self): + core_number = nx.core_number(self.H) + H = nx.MultiGraph(self.H) + with pytest.deprecated_call(): + nx.k_corona(H, k=0, core_number=core_number) + + def test_k_truss(self): + # k=-1 + k_truss_subgraph = nx.k_truss(self.G, -1) + assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) + # k=0 + k_truss_subgraph = nx.k_truss(self.G, 0) + assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) + # k=1 + k_truss_subgraph = nx.k_truss(self.G, 1) + assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) + # k=2 + k_truss_subgraph = nx.k_truss(self.G, 2) + assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) + # k=3 + k_truss_subgraph = nx.k_truss(self.G, 3) + assert sorted(k_truss_subgraph.nodes()) == list(range(1, 13)) + + k_truss_subgraph = nx.k_truss(self.G, 4) + assert sorted(k_truss_subgraph.nodes()) == list(range(1, 9)) + + k_truss_subgraph = nx.k_truss(self.G, 5) + assert sorted(k_truss_subgraph.nodes()) == [] + + def test_k_truss_digraph(self): + G = nx.complete_graph(3) + G = nx.DiGraph(G) + G.add_edge(2, 1) + with pytest.raises( + nx.NetworkXNotImplemented, match="not implemented for directed type" + ): + nx.k_truss(G, k=1) + + def test_k_truss_multigraph(self): + G = nx.complete_graph(3) + G = nx.MultiGraph(G) + G.add_edge(1, 2) + with pytest.raises( + nx.NetworkXNotImplemented, match="not implemented for multigraph type" + ): + nx.k_truss(G, k=1) + + def test_k_truss_self_loop(self): + G = nx.cycle_graph(3) + G.add_edge(0, 0) + with pytest.raises( + nx.NetworkXNotImplemented, match="Input graph has self loops" + ): + nx.k_truss(G, k=1) + + def test_onion_layers(self): + layers = nx.onion_layers(self.G) + nodes_by_layer = [ + sorted(n for n in layers if layers[n] == val) for val in range(1, 7) + ] + assert nodes_equal(nodes_by_layer[0], [21]) + assert nodes_equal(nodes_by_layer[1], [17, 18, 19, 20]) + assert nodes_equal(nodes_by_layer[2], [10, 12, 13, 14, 15, 16]) + assert nodes_equal(nodes_by_layer[3], [9, 11]) + assert nodes_equal(nodes_by_layer[4], [1, 2, 4, 5, 6, 8]) + assert nodes_equal(nodes_by_layer[5], [3, 7]) + + def test_onion_digraph(self): + G = nx.complete_graph(3) + G = nx.DiGraph(G) + G.add_edge(2, 1) + with pytest.raises( + nx.NetworkXNotImplemented, match="not implemented for directed type" + ): + nx.onion_layers(G) + + def test_onion_multigraph(self): + G = nx.complete_graph(3) + G = nx.MultiGraph(G) + G.add_edge(1, 2) + with pytest.raises( + nx.NetworkXNotImplemented, match="not implemented for multigraph type" + ): + nx.onion_layers(G) + + def test_onion_self_loop(self): + G = nx.cycle_graph(3) + G.add_edge(0, 0) + with pytest.raises( + nx.NetworkXNotImplemented, match="Input graph contains self loops" + ): + nx.onion_layers(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_covering.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_covering.py new file mode 100644 index 0000000000000000000000000000000000000000..b2f97a866b0e09c199c2edb9f40f20986caa8fbc --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_covering.py @@ -0,0 +1,85 @@ +import pytest + +import networkx as nx + + +class TestMinEdgeCover: + """Tests for :func:`networkx.algorithms.min_edge_cover`""" + + def test_empty_graph(self): + G = nx.Graph() + assert nx.min_edge_cover(G) == set() + + def test_graph_with_loop(self): + G = nx.Graph() + G.add_edge(0, 0) + assert nx.min_edge_cover(G) == {(0, 0)} + + def test_graph_with_isolated_v(self): + G = nx.Graph() + G.add_node(1) + with pytest.raises( + nx.NetworkXException, + match="Graph has a node with no edge incident on it, so no edge cover exists.", + ): + nx.min_edge_cover(G) + + def test_graph_single_edge(self): + G = nx.Graph([(0, 1)]) + assert nx.min_edge_cover(G) in ({(0, 1)}, {(1, 0)}) + + def test_graph_two_edge_path(self): + G = nx.path_graph(3) + min_cover = nx.min_edge_cover(G) + assert len(min_cover) == 2 + for u, v in G.edges: + assert (u, v) in min_cover or (v, u) in min_cover + + def test_bipartite_explicit(self): + G = nx.Graph() + G.add_nodes_from([1, 2, 3, 4], bipartite=0) + G.add_nodes_from(["a", "b", "c"], bipartite=1) + G.add_edges_from([(1, "a"), (1, "b"), (2, "b"), (2, "c"), (3, "c"), (4, "a")]) + # Use bipartite method by prescribing the algorithm + min_cover = nx.min_edge_cover( + G, nx.algorithms.bipartite.matching.eppstein_matching + ) + assert nx.is_edge_cover(G, min_cover) + assert len(min_cover) == 8 + # Use the default method which is not specialized for bipartite + min_cover2 = nx.min_edge_cover(G) + assert nx.is_edge_cover(G, min_cover2) + assert len(min_cover2) == 4 + + def test_complete_graph_even(self): + G = nx.complete_graph(10) + min_cover = nx.min_edge_cover(G) + assert nx.is_edge_cover(G, min_cover) + assert len(min_cover) == 5 + + def test_complete_graph_odd(self): + G = nx.complete_graph(11) + min_cover = nx.min_edge_cover(G) + assert nx.is_edge_cover(G, min_cover) + assert len(min_cover) == 6 + + +class TestIsEdgeCover: + """Tests for :func:`networkx.algorithms.is_edge_cover`""" + + def test_empty_graph(self): + G = nx.Graph() + assert nx.is_edge_cover(G, set()) + + def test_graph_with_loop(self): + G = nx.Graph() + G.add_edge(1, 1) + assert nx.is_edge_cover(G, {(1, 1)}) + + def test_graph_single_edge(self): + G = nx.Graph() + G.add_edge(0, 1) + assert nx.is_edge_cover(G, {(0, 0), (1, 1)}) + assert nx.is_edge_cover(G, {(0, 1), (1, 0)}) + assert nx.is_edge_cover(G, {(0, 1)}) + assert not nx.is_edge_cover(G, {(0, 0)}) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cuts.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cuts.py new file mode 100644 index 0000000000000000000000000000000000000000..923efa502acc623650f36ff41e72884e5e508bc9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cuts.py @@ -0,0 +1,171 @@ +"""Unit tests for the :mod:`networkx.algorithms.cuts` module.""" + +import networkx as nx + + +class TestCutSize: + """Unit tests for the :func:`~networkx.cut_size` function.""" + + def test_symmetric(self): + """Tests that the cut size is symmetric.""" + G = nx.barbell_graph(3, 0) + S = {0, 1, 4} + T = {2, 3, 5} + assert nx.cut_size(G, S, T) == 4 + assert nx.cut_size(G, T, S) == 4 + + def test_single_edge(self): + """Tests for a cut of a single edge.""" + G = nx.barbell_graph(3, 0) + S = {0, 1, 2} + T = {3, 4, 5} + assert nx.cut_size(G, S, T) == 1 + assert nx.cut_size(G, T, S) == 1 + + def test_directed(self): + """Tests that each directed edge is counted once in the cut.""" + G = nx.barbell_graph(3, 0).to_directed() + S = {0, 1, 2} + T = {3, 4, 5} + assert nx.cut_size(G, S, T) == 2 + assert nx.cut_size(G, T, S) == 2 + + def test_directed_symmetric(self): + """Tests that a cut in a directed graph is symmetric.""" + G = nx.barbell_graph(3, 0).to_directed() + S = {0, 1, 4} + T = {2, 3, 5} + assert nx.cut_size(G, S, T) == 8 + assert nx.cut_size(G, T, S) == 8 + + def test_multigraph(self): + """Tests that parallel edges are each counted for a cut.""" + G = nx.MultiGraph(["ab", "ab"]) + assert nx.cut_size(G, {"a"}, {"b"}) == 2 + + +class TestVolume: + """Unit tests for the :func:`~networkx.volume` function.""" + + def test_graph(self): + G = nx.cycle_graph(4) + assert nx.volume(G, {0, 1}) == 4 + + def test_digraph(self): + G = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 0)]) + assert nx.volume(G, {0, 1}) == 2 + + def test_multigraph(self): + edges = list(nx.cycle_graph(4).edges()) + G = nx.MultiGraph(edges * 2) + assert nx.volume(G, {0, 1}) == 8 + + def test_multidigraph(self): + edges = [(0, 1), (1, 2), (2, 3), (3, 0)] + G = nx.MultiDiGraph(edges * 2) + assert nx.volume(G, {0, 1}) == 4 + + def test_barbell(self): + G = nx.barbell_graph(3, 0) + assert nx.volume(G, {0, 1, 2}) == 7 + assert nx.volume(G, {3, 4, 5}) == 7 + + +class TestNormalizedCutSize: + """Unit tests for the :func:`~networkx.normalized_cut_size` function.""" + + def test_graph(self): + G = nx.path_graph(4) + S = {1, 2} + T = set(G) - S + size = nx.normalized_cut_size(G, S, T) + # The cut looks like this: o-{-o--o-}-o + expected = 2 * ((1 / 4) + (1 / 2)) + assert expected == size + # Test with no input T + assert expected == nx.normalized_cut_size(G, S) + + def test_directed(self): + G = nx.DiGraph([(0, 1), (1, 2), (2, 3)]) + S = {1, 2} + T = set(G) - S + size = nx.normalized_cut_size(G, S, T) + # The cut looks like this: o-{->o-->o-}->o + expected = 2 * ((1 / 2) + (1 / 1)) + assert expected == size + # Test with no input T + assert expected == nx.normalized_cut_size(G, S) + + +class TestConductance: + """Unit tests for the :func:`~networkx.conductance` function.""" + + def test_graph(self): + G = nx.barbell_graph(5, 0) + # Consider the singleton sets containing the "bridge" nodes. + # There is only one cut edge, and each set has volume five. + S = {4} + T = {5} + conductance = nx.conductance(G, S, T) + expected = 1 / 5 + assert expected == conductance + # Test with no input T + G2 = nx.barbell_graph(3, 0) + # There is only one cut edge, and each set has volume seven. + S2 = {0, 1, 2} + assert nx.conductance(G2, S2) == 1 / 7 + + +class TestEdgeExpansion: + """Unit tests for the :func:`~networkx.edge_expansion` function.""" + + def test_graph(self): + G = nx.barbell_graph(5, 0) + S = set(range(5)) + T = set(G) - S + expansion = nx.edge_expansion(G, S, T) + expected = 1 / 5 + assert expected == expansion + # Test with no input T + assert expected == nx.edge_expansion(G, S) + + +class TestNodeExpansion: + """Unit tests for the :func:`~networkx.node_expansion` function.""" + + def test_graph(self): + G = nx.path_graph(8) + S = {3, 4, 5} + expansion = nx.node_expansion(G, S) + # The neighborhood of S has cardinality five, and S has + # cardinality three. + expected = 5 / 3 + assert expected == expansion + + +class TestBoundaryExpansion: + """Unit tests for the :func:`~networkx.boundary_expansion` function.""" + + def test_graph(self): + G = nx.complete_graph(10) + S = set(range(4)) + expansion = nx.boundary_expansion(G, S) + # The node boundary of S has cardinality six, and S has + # cardinality three. + expected = 6 / 4 + assert expected == expansion + + +class TestMixingExpansion: + """Unit tests for the :func:`~networkx.mixing_expansion` function.""" + + def test_graph(self): + G = nx.barbell_graph(5, 0) + S = set(range(5)) + T = set(G) - S + expansion = nx.mixing_expansion(G, S, T) + # There is one cut edge, and the total number of edges in the + # graph is twice the total number of edges in a clique of size + # five, plus one more for the bridge. + expected = 1 / (2 * (5 * 4 + 1)) + assert expected == expansion diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cycles.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cycles.py new file mode 100644 index 0000000000000000000000000000000000000000..dd21405ff394d22bc463b61df3bf50cd1a504b40 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_cycles.py @@ -0,0 +1,974 @@ +from itertools import chain, islice, tee +from math import inf +from random import shuffle + +import pytest + +import networkx as nx +from networkx.algorithms.traversal.edgedfs import FORWARD, REVERSE + + +def check_independent(basis): + if len(basis) == 0: + return + + np = pytest.importorskip("numpy") + sp = pytest.importorskip("scipy") # Required by incidence_matrix + + H = nx.Graph() + for b in basis: + nx.add_cycle(H, b) + inc = nx.incidence_matrix(H, oriented=True) + rank = np.linalg.matrix_rank(inc.toarray(), tol=None, hermitian=False) + assert inc.shape[1] - rank == len(basis) + + +class TestCycles: + @classmethod + def setup_class(cls): + G = nx.Graph() + nx.add_cycle(G, [0, 1, 2, 3]) + nx.add_cycle(G, [0, 3, 4, 5]) + nx.add_cycle(G, [0, 1, 6, 7, 8]) + G.add_edge(8, 9) + cls.G = G + + def is_cyclic_permutation(self, a, b): + n = len(a) + if len(b) != n: + return False + l = a + a + return any(l[i : i + n] == b for i in range(n)) + + def test_cycle_basis(self): + G = self.G + cy = nx.cycle_basis(G, 0) + sort_cy = sorted(sorted(c) for c in cy) + assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5]] + cy = nx.cycle_basis(G, 1) + sort_cy = sorted(sorted(c) for c in cy) + assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5]] + cy = nx.cycle_basis(G, 9) + sort_cy = sorted(sorted(c) for c in cy) + assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5]] + # test disconnected graphs + nx.add_cycle(G, "ABC") + cy = nx.cycle_basis(G, 9) + sort_cy = sorted(sorted(c) for c in cy[:-1]) + [sorted(cy[-1])] + assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5], ["A", "B", "C"]] + + def test_cycle_basis2(self): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.DiGraph() + cy = nx.cycle_basis(G, 0) + + def test_cycle_basis3(self): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.MultiGraph() + cy = nx.cycle_basis(G, 0) + + def test_cycle_basis_ordered(self): + # see gh-6654 replace sets with (ordered) dicts + G = nx.cycle_graph(5) + G.update(nx.cycle_graph(range(3, 8))) + cbG = nx.cycle_basis(G) + + perm = {1: 0, 0: 1} # switch 0 and 1 + H = nx.relabel_nodes(G, perm) + cbH = [[perm.get(n, n) for n in cyc] for cyc in nx.cycle_basis(H)] + assert cbG == cbH + + def test_cycle_basis_self_loop(self): + """Tests the function for graphs with self loops""" + G = nx.Graph() + nx.add_cycle(G, [0, 1, 2, 3]) + nx.add_cycle(G, [0, 0, 6, 2]) + cy = nx.cycle_basis(G) + sort_cy = sorted(sorted(c) for c in cy) + assert sort_cy == [[0], [0, 1, 2], [0, 2, 3], [0, 2, 6]] + + def test_simple_cycles(self): + edges = [(0, 0), (0, 1), (0, 2), (1, 2), (2, 0), (2, 1), (2, 2)] + G = nx.DiGraph(edges) + cc = sorted(nx.simple_cycles(G)) + ca = [[0], [0, 1, 2], [0, 2], [1, 2], [2]] + assert len(cc) == len(ca) + for c in cc: + assert any(self.is_cyclic_permutation(c, rc) for rc in ca) + + def test_simple_cycles_singleton(self): + G = nx.Graph([(0, 0)]) # self-loop + assert list(nx.simple_cycles(G)) == [[0]] + + def test_unsortable(self): + # this test ensures that graphs whose nodes without an intrinsic + # ordering do not cause issues + G = nx.DiGraph() + nx.add_cycle(G, ["a", 1]) + c = list(nx.simple_cycles(G)) + assert len(c) == 1 + + def test_simple_cycles_small(self): + G = nx.DiGraph() + nx.add_cycle(G, [1, 2, 3]) + c = sorted(nx.simple_cycles(G)) + assert len(c) == 1 + assert self.is_cyclic_permutation(c[0], [1, 2, 3]) + nx.add_cycle(G, [10, 20, 30]) + cc = sorted(nx.simple_cycles(G)) + assert len(cc) == 2 + ca = [[1, 2, 3], [10, 20, 30]] + for c in cc: + assert any(self.is_cyclic_permutation(c, rc) for rc in ca) + + def test_simple_cycles_empty(self): + G = nx.DiGraph() + assert list(nx.simple_cycles(G)) == [] + + def worst_case_graph(self, k): + # see figure 1 in Johnson's paper + # this graph has exactly 3k simple cycles + G = nx.DiGraph() + for n in range(2, k + 2): + G.add_edge(1, n) + G.add_edge(n, k + 2) + G.add_edge(2 * k + 1, 1) + for n in range(k + 2, 2 * k + 2): + G.add_edge(n, 2 * k + 2) + G.add_edge(n, n + 1) + G.add_edge(2 * k + 3, k + 2) + for n in range(2 * k + 3, 3 * k + 3): + G.add_edge(2 * k + 2, n) + G.add_edge(n, 3 * k + 3) + G.add_edge(3 * k + 3, 2 * k + 2) + return G + + def test_worst_case_graph(self): + # see figure 1 in Johnson's paper + for k in range(3, 10): + G = self.worst_case_graph(k) + l = len(list(nx.simple_cycles(G))) + assert l == 3 * k + + def test_recursive_simple_and_not(self): + for k in range(2, 10): + G = self.worst_case_graph(k) + cc = sorted(nx.simple_cycles(G)) + rcc = sorted(nx.recursive_simple_cycles(G)) + assert len(cc) == len(rcc) + for c in cc: + assert any(self.is_cyclic_permutation(c, r) for r in rcc) + for rc in rcc: + assert any(self.is_cyclic_permutation(rc, c) for c in cc) + + def test_simple_graph_with_reported_bug(self): + G = nx.DiGraph() + edges = [ + (0, 2), + (0, 3), + (1, 0), + (1, 3), + (2, 1), + (2, 4), + (3, 2), + (3, 4), + (4, 0), + (4, 1), + (4, 5), + (5, 0), + (5, 1), + (5, 2), + (5, 3), + ] + G.add_edges_from(edges) + cc = sorted(nx.simple_cycles(G)) + assert len(cc) == 26 + rcc = sorted(nx.recursive_simple_cycles(G)) + assert len(cc) == len(rcc) + for c in cc: + assert any(self.is_cyclic_permutation(c, rc) for rc in rcc) + for rc in rcc: + assert any(self.is_cyclic_permutation(rc, c) for c in cc) + + +def pairwise(iterable): + a, b = tee(iterable) + next(b, None) + return zip(a, b) + + +def cycle_edges(c): + return pairwise(chain(c, islice(c, 1))) + + +def directed_cycle_edgeset(c): + return frozenset(cycle_edges(c)) + + +def undirected_cycle_edgeset(c): + if len(c) == 1: + return frozenset(cycle_edges(c)) + return frozenset(map(frozenset, cycle_edges(c))) + + +def multigraph_cycle_edgeset(c): + if len(c) <= 2: + return frozenset(cycle_edges(c)) + else: + return frozenset(map(frozenset, cycle_edges(c))) + + +class TestCycleEnumeration: + @staticmethod + def K(n): + return nx.complete_graph(n) + + @staticmethod + def D(n): + return nx.complete_graph(n).to_directed() + + @staticmethod + def edgeset_function(g): + if g.is_directed(): + return directed_cycle_edgeset + elif g.is_multigraph(): + return multigraph_cycle_edgeset + else: + return undirected_cycle_edgeset + + def check_cycle(self, g, c, es, cache, source, original_c, length_bound, chordless): + if length_bound is not None and len(c) > length_bound: + raise RuntimeError( + f"computed cycle {original_c} exceeds length bound {length_bound}" + ) + if source == "computed": + if es in cache: + raise RuntimeError( + f"computed cycle {original_c} has already been found!" + ) + else: + cache[es] = tuple(original_c) + else: + if es in cache: + cache.pop(es) + else: + raise RuntimeError(f"expected cycle {original_c} was not computed") + + if not all(g.has_edge(*e) for e in es): + raise RuntimeError( + f"{source} claimed cycle {original_c} is not a cycle of g" + ) + if chordless and len(g.subgraph(c).edges) > len(c): + raise RuntimeError(f"{source} cycle {original_c} is not chordless") + + def check_cycle_algorithm( + self, + g, + expected_cycles, + length_bound=None, + chordless=False, + algorithm=None, + ): + if algorithm is None: + algorithm = nx.chordless_cycles if chordless else nx.simple_cycles + + # note: we shuffle the labels of g to rule out accidentally-correct + # behavior which occurred during the development of chordless cycle + # enumeration algorithms + + relabel = list(range(len(g))) + shuffle(relabel) + label = dict(zip(g, relabel)) + unlabel = dict(zip(relabel, g)) + h = nx.relabel_nodes(g, label, copy=True) + + edgeset = self.edgeset_function(h) + + params = {} + if length_bound is not None: + params["length_bound"] = length_bound + + cycle_cache = {} + for c in algorithm(h, **params): + original_c = [unlabel[x] for x in c] + es = edgeset(c) + self.check_cycle( + h, c, es, cycle_cache, "computed", original_c, length_bound, chordless + ) + + if isinstance(expected_cycles, int): + if len(cycle_cache) != expected_cycles: + raise RuntimeError( + f"expected {expected_cycles} cycles, got {len(cycle_cache)}" + ) + return + for original_c in expected_cycles: + c = [label[x] for x in original_c] + es = edgeset(c) + self.check_cycle( + h, c, es, cycle_cache, "expected", original_c, length_bound, chordless + ) + + if len(cycle_cache): + for c in cycle_cache.values(): + raise RuntimeError( + f"computed cycle {c} is valid but not in the expected cycle set!" + ) + + def check_cycle_enumeration_integer_sequence( + self, + g_family, + cycle_counts, + length_bound=None, + chordless=False, + algorithm=None, + ): + for g, num_cycles in zip(g_family, cycle_counts): + self.check_cycle_algorithm( + g, + num_cycles, + length_bound=length_bound, + chordless=chordless, + algorithm=algorithm, + ) + + def test_directed_chordless_cycle_digons(self): + g = nx.DiGraph() + nx.add_cycle(g, range(5)) + nx.add_cycle(g, range(5)[::-1]) + g.add_edge(0, 0) + expected_cycles = [(0,), (1, 2), (2, 3), (3, 4)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + self.check_cycle_algorithm(g, expected_cycles, chordless=True, length_bound=2) + + expected_cycles = [c for c in expected_cycles if len(c) < 2] + self.check_cycle_algorithm(g, expected_cycles, chordless=True, length_bound=1) + + def test_directed_chordless_cycle_undirected(self): + g = nx.DiGraph([(1, 2), (2, 3), (3, 4), (4, 5), (5, 0), (5, 1), (0, 2)]) + expected_cycles = [(0, 2, 3, 4, 5), (1, 2, 3, 4, 5)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + g = nx.DiGraph() + nx.add_cycle(g, range(5)) + nx.add_cycle(g, range(4, 9)) + g.add_edge(7, 3) + expected_cycles = [(0, 1, 2, 3, 4), (3, 4, 5, 6, 7), (4, 5, 6, 7, 8)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + g.add_edge(3, 7) + expected_cycles = [(0, 1, 2, 3, 4), (3, 7), (4, 5, 6, 7, 8)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + expected_cycles = [(3, 7)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True, length_bound=4) + + g.remove_edge(7, 3) + expected_cycles = [(0, 1, 2, 3, 4), (4, 5, 6, 7, 8)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + g = nx.DiGraph((i, j) for i in range(10) for j in range(i)) + expected_cycles = [] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + def test_chordless_cycles_directed(self): + G = nx.DiGraph() + nx.add_cycle(G, range(5)) + nx.add_cycle(G, range(4, 12)) + expected = [[*range(5)], [*range(4, 12)]] + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True + ) + + G.add_edge(7, 3) + expected.append([*range(3, 8)]) + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True + ) + + G.add_edge(3, 7) + expected[-1] = [7, 3] + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True + ) + + expected.pop() + G.remove_edge(7, 3) + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True + ) + + def test_directed_chordless_cycle_diclique(self): + g_family = [self.D(n) for n in range(10)] + expected_cycles = [(n * n - n) // 2 for n in range(10)] + self.check_cycle_enumeration_integer_sequence( + g_family, expected_cycles, chordless=True + ) + + expected_cycles = [(n * n - n) // 2 for n in range(10)] + self.check_cycle_enumeration_integer_sequence( + g_family, expected_cycles, length_bound=2 + ) + + def test_directed_chordless_loop_blockade(self): + g = nx.DiGraph((i, i) for i in range(10)) + nx.add_cycle(g, range(10)) + expected_cycles = [(i,) for i in range(10)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + self.check_cycle_algorithm(g, expected_cycles, length_bound=1) + + g = nx.MultiDiGraph(g) + g.add_edges_from((i, i) for i in range(0, 10, 2)) + expected_cycles = [(i,) for i in range(1, 10, 2)] + self.check_cycle_algorithm(g, expected_cycles, chordless=True) + + def test_simple_cycles_notable_clique_sequences(self): + # A000292: Number of labeled graphs on n+3 nodes that are triangles. + g_family = [self.K(n) for n in range(2, 12)] + expected = [0, 1, 4, 10, 20, 35, 56, 84, 120, 165, 220] + self.check_cycle_enumeration_integer_sequence( + g_family, expected, length_bound=3 + ) + + def triangles(g, **kwargs): + yield from (c for c in nx.simple_cycles(g, **kwargs) if len(c) == 3) + + # directed complete graphs have twice as many triangles thanks to reversal + g_family = [self.D(n) for n in range(2, 12)] + expected = [2 * e for e in expected] + self.check_cycle_enumeration_integer_sequence( + g_family, expected, length_bound=3, algorithm=triangles + ) + + def four_cycles(g, **kwargs): + yield from (c for c in nx.simple_cycles(g, **kwargs) if len(c) == 4) + + # A050534: the number of 4-cycles in the complete graph K_{n+1} + expected = [0, 0, 0, 3, 15, 45, 105, 210, 378, 630, 990] + g_family = [self.K(n) for n in range(1, 12)] + self.check_cycle_enumeration_integer_sequence( + g_family, expected, length_bound=4, algorithm=four_cycles + ) + + # directed complete graphs have twice as many 4-cycles thanks to reversal + expected = [2 * e for e in expected] + g_family = [self.D(n) for n in range(1, 15)] + self.check_cycle_enumeration_integer_sequence( + g_family, expected, length_bound=4, algorithm=four_cycles + ) + + # A006231: the number of elementary circuits in a complete directed graph with n nodes + expected = [0, 1, 5, 20, 84, 409, 2365] + g_family = [self.D(n) for n in range(1, 8)] + self.check_cycle_enumeration_integer_sequence(g_family, expected) + + # A002807: Number of cycles in the complete graph on n nodes K_{n}. + expected = [0, 0, 0, 1, 7, 37, 197, 1172] + g_family = [self.K(n) for n in range(8)] + self.check_cycle_enumeration_integer_sequence(g_family, expected) + + def test_directed_chordless_cycle_parallel_multiedges(self): + g = nx.MultiGraph() + + nx.add_cycle(g, range(5)) + expected = [[*range(5)]] + self.check_cycle_algorithm(g, expected, chordless=True) + + nx.add_cycle(g, range(5)) + expected = [*cycle_edges(range(5))] + self.check_cycle_algorithm(g, expected, chordless=True) + + nx.add_cycle(g, range(5)) + expected = [] + self.check_cycle_algorithm(g, expected, chordless=True) + + g = nx.MultiDiGraph() + + nx.add_cycle(g, range(5)) + expected = [[*range(5)]] + self.check_cycle_algorithm(g, expected, chordless=True) + + nx.add_cycle(g, range(5)) + self.check_cycle_algorithm(g, [], chordless=True) + + nx.add_cycle(g, range(5)) + self.check_cycle_algorithm(g, [], chordless=True) + + g = nx.MultiDiGraph() + + nx.add_cycle(g, range(5)) + nx.add_cycle(g, range(5)[::-1]) + expected = [*cycle_edges(range(5))] + self.check_cycle_algorithm(g, expected, chordless=True) + + nx.add_cycle(g, range(5)) + self.check_cycle_algorithm(g, [], chordless=True) + + def test_chordless_cycles_graph(self): + G = nx.Graph() + nx.add_cycle(G, range(5)) + nx.add_cycle(G, range(4, 12)) + expected = [[*range(5)], [*range(4, 12)]] + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True + ) + + G.add_edge(7, 3) + expected.append([*range(3, 8)]) + expected.append([4, 3, 7, 8, 9, 10, 11]) + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True + ) + + def test_chordless_cycles_giant_hamiltonian(self): + # ... o - e - o - e - o ... # o = odd, e = even + # ... ---/ \-----/ \--- ... # <-- "long" edges + # + # each long edge belongs to exactly one triangle, and one giant cycle + # of length n/2. The remaining edges each belong to a triangle + + n = 1000 + assert n % 2 == 0 + G = nx.Graph() + for v in range(n): + if not v % 2: + G.add_edge(v, (v + 2) % n) + G.add_edge(v, (v + 1) % n) + + expected = [[*range(0, n, 2)]] + [ + [x % n for x in range(i, i + 3)] for i in range(0, n, 2) + ] + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 3], length_bound=3, chordless=True + ) + + # ... o -> e -> o -> e -> o ... # o = odd, e = even + # ... <---/ \---<---/ \---< ... # <-- "long" edges + # + # this time, we orient the short and long edges in opposition + # the cycle structure of this graph is the same, but we need to reverse + # the long one in our representation. Also, we need to drop the size + # because our partitioning algorithm uses strongly connected components + # instead of separating graphs by their strong articulation points + + n = 100 + assert n % 2 == 0 + G = nx.DiGraph() + for v in range(n): + G.add_edge(v, (v + 1) % n) + if not v % 2: + G.add_edge((v + 2) % n, v) + + expected = [[*range(n - 2, -2, -2)]] + [ + [x % n for x in range(i, i + 3)] for i in range(0, n, 2) + ] + self.check_cycle_algorithm(G, expected, chordless=True) + self.check_cycle_algorithm( + G, [c for c in expected if len(c) <= 3], length_bound=3, chordless=True + ) + + def test_simple_cycles_acyclic_tournament(self): + n = 10 + G = nx.DiGraph((x, y) for x in range(n) for y in range(x)) + self.check_cycle_algorithm(G, []) + self.check_cycle_algorithm(G, [], chordless=True) + + for k in range(n + 1): + self.check_cycle_algorithm(G, [], length_bound=k) + self.check_cycle_algorithm(G, [], length_bound=k, chordless=True) + + def test_simple_cycles_graph(self): + testG = nx.cycle_graph(8) + cyc1 = tuple(range(8)) + self.check_cycle_algorithm(testG, [cyc1]) + + testG.add_edge(4, -1) + nx.add_path(testG, [3, -2, -3, -4]) + self.check_cycle_algorithm(testG, [cyc1]) + + testG.update(nx.cycle_graph(range(8, 16))) + cyc2 = tuple(range(8, 16)) + self.check_cycle_algorithm(testG, [cyc1, cyc2]) + + testG.update(nx.cycle_graph(range(4, 12))) + cyc3 = tuple(range(4, 12)) + expected = { + (0, 1, 2, 3, 4, 5, 6, 7), # cyc1 + (8, 9, 10, 11, 12, 13, 14, 15), # cyc2 + (4, 5, 6, 7, 8, 9, 10, 11), # cyc3 + (4, 5, 6, 7, 8, 15, 14, 13, 12, 11), # cyc2 + cyc3 + (0, 1, 2, 3, 4, 11, 10, 9, 8, 7), # cyc1 + cyc3 + (0, 1, 2, 3, 4, 11, 12, 13, 14, 15, 8, 7), # cyc1 + cyc2 + cyc3 + } + self.check_cycle_algorithm(testG, expected) + assert len(expected) == (2**3 - 1) - 1 # 1 disjoint comb: cyc1 + cyc2 + + # Basis size = 5 (2 loops overlapping gives 5 small loops + # E + # / \ Note: A-F = 10-15 + # 1-2-3-4-5 + # / | | \ cyc1=012DAB -- left + # 0 D F 6 cyc2=234E -- top + # \ | | / cyc3=45678F -- right + # B-A-9-8-7 cyc4=89AC -- bottom + # \ / cyc5=234F89AD -- middle + # C + # + # combinations of 5 basis elements: 2^5 - 1 (one includes no cycles) + # + # disjoint combs: (11 total) not simple cycles + # Any pair not including cyc5 => choose(4, 2) = 6 + # Any triple not including cyc5 => choose(4, 3) = 4 + # Any quad not including cyc5 => choose(4, 4) = 1 + # + # we expect 31 - 11 = 20 simple cycles + # + testG = nx.cycle_graph(12) + testG.update(nx.cycle_graph([12, 10, 13, 2, 14, 4, 15, 8]).edges) + expected = (2**5 - 1) - 11 # 11 disjoint combinations + self.check_cycle_algorithm(testG, expected) + + def test_simple_cycles_bounded(self): + # iteratively construct a cluster of nested cycles running in the same direction + # there should be one cycle of every length + d = nx.DiGraph() + expected = [] + for n in range(10): + nx.add_cycle(d, range(n)) + expected.append(n) + for k, e in enumerate(expected): + self.check_cycle_algorithm(d, e, length_bound=k) + + # iteratively construct a path of undirected cycles, connected at articulation + # points. there should be one cycle of every length except 2: no digons + g = nx.Graph() + top = 0 + expected = [] + for n in range(10): + expected.append(n if n < 2 else n - 1) + if n == 2: + # no digons in undirected graphs + continue + nx.add_cycle(g, range(top, top + n)) + top += n + for k, e in enumerate(expected): + self.check_cycle_algorithm(g, e, length_bound=k) + + def test_simple_cycles_bound_corner_cases(self): + G = nx.cycle_graph(4) + DG = nx.cycle_graph(4, create_using=nx.DiGraph) + assert list(nx.simple_cycles(G, length_bound=0)) == [] + assert list(nx.simple_cycles(DG, length_bound=0)) == [] + assert list(nx.chordless_cycles(G, length_bound=0)) == [] + assert list(nx.chordless_cycles(DG, length_bound=0)) == [] + + def test_simple_cycles_bound_error(self): + with pytest.raises(ValueError): + G = nx.DiGraph() + for c in nx.simple_cycles(G, -1): + assert False + + with pytest.raises(ValueError): + G = nx.Graph() + for c in nx.simple_cycles(G, -1): + assert False + + with pytest.raises(ValueError): + G = nx.Graph() + for c in nx.chordless_cycles(G, -1): + assert False + + with pytest.raises(ValueError): + G = nx.DiGraph() + for c in nx.chordless_cycles(G, -1): + assert False + + def test_chordless_cycles_clique(self): + g_family = [self.K(n) for n in range(2, 15)] + expected = [0, 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364] + self.check_cycle_enumeration_integer_sequence( + g_family, expected, chordless=True + ) + + # directed cliques have as many digons as undirected graphs have edges + expected = [(n * n - n) // 2 for n in range(15)] + g_family = [self.D(n) for n in range(15)] + self.check_cycle_enumeration_integer_sequence( + g_family, expected, chordless=True + ) + + +# These tests might fail with hash randomization since they depend on +# edge_dfs. For more information, see the comments in: +# networkx/algorithms/traversal/tests/test_edgedfs.py + + +class TestFindCycle: + @classmethod + def setup_class(cls): + cls.nodes = [0, 1, 2, 3] + cls.edges = [(-1, 0), (0, 1), (1, 0), (1, 0), (2, 1), (3, 1)] + + def test_graph_nocycle(self): + G = nx.Graph(self.edges) + pytest.raises(nx.exception.NetworkXNoCycle, nx.find_cycle, G, self.nodes) + + def test_graph_cycle(self): + G = nx.Graph(self.edges) + G.add_edge(2, 0) + x = list(nx.find_cycle(G, self.nodes)) + x_ = [(0, 1), (1, 2), (2, 0)] + assert x == x_ + + def test_graph_orientation_none(self): + G = nx.Graph(self.edges) + G.add_edge(2, 0) + x = list(nx.find_cycle(G, self.nodes, orientation=None)) + x_ = [(0, 1), (1, 2), (2, 0)] + assert x == x_ + + def test_graph_orientation_original(self): + G = nx.Graph(self.edges) + G.add_edge(2, 0) + x = list(nx.find_cycle(G, self.nodes, orientation="original")) + x_ = [(0, 1, FORWARD), (1, 2, FORWARD), (2, 0, FORWARD)] + assert x == x_ + + def test_digraph(self): + G = nx.DiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes)) + x_ = [(0, 1), (1, 0)] + assert x == x_ + + def test_digraph_orientation_none(self): + G = nx.DiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes, orientation=None)) + x_ = [(0, 1), (1, 0)] + assert x == x_ + + def test_digraph_orientation_original(self): + G = nx.DiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes, orientation="original")) + x_ = [(0, 1, FORWARD), (1, 0, FORWARD)] + assert x == x_ + + def test_multigraph(self): + G = nx.MultiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes)) + x_ = [(0, 1, 0), (1, 0, 1)] # or (1, 0, 2) + # Hash randomization...could be any edge. + assert x[0] == x_[0] + assert x[1][:2] == x_[1][:2] + + def test_multidigraph(self): + G = nx.MultiDiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes)) + x_ = [(0, 1, 0), (1, 0, 0)] # (1, 0, 1) + assert x[0] == x_[0] + assert x[1][:2] == x_[1][:2] + + def test_digraph_ignore(self): + G = nx.DiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes, orientation="ignore")) + x_ = [(0, 1, FORWARD), (1, 0, FORWARD)] + assert x == x_ + + def test_digraph_reverse(self): + G = nx.DiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes, orientation="reverse")) + x_ = [(1, 0, REVERSE), (0, 1, REVERSE)] + assert x == x_ + + def test_multidigraph_ignore(self): + G = nx.MultiDiGraph(self.edges) + x = list(nx.find_cycle(G, self.nodes, orientation="ignore")) + x_ = [(0, 1, 0, FORWARD), (1, 0, 0, FORWARD)] # or (1, 0, 1, 1) + assert x[0] == x_[0] + assert x[1][:2] == x_[1][:2] + assert x[1][3] == x_[1][3] + + def test_multidigraph_ignore2(self): + # Loop traversed an edge while ignoring its orientation. + G = nx.MultiDiGraph([(0, 1), (1, 2), (1, 2)]) + x = list(nx.find_cycle(G, [0, 1, 2], orientation="ignore")) + x_ = [(1, 2, 0, FORWARD), (1, 2, 1, REVERSE)] + assert x == x_ + + def test_multidigraph_original(self): + # Node 2 doesn't need to be searched again from visited from 4. + # The goal here is to cover the case when 2 to be researched from 4, + # when 4 is visited from the first time (so we must make sure that 4 + # is not visited from 2, and hence, we respect the edge orientation). + G = nx.MultiDiGraph([(0, 1), (1, 2), (2, 3), (4, 2)]) + pytest.raises( + nx.exception.NetworkXNoCycle, + nx.find_cycle, + G, + [0, 1, 2, 3, 4], + orientation="original", + ) + + def test_dag(self): + G = nx.DiGraph([(0, 1), (0, 2), (1, 2)]) + pytest.raises( + nx.exception.NetworkXNoCycle, nx.find_cycle, G, orientation="original" + ) + x = list(nx.find_cycle(G, orientation="ignore")) + assert x == [(0, 1, FORWARD), (1, 2, FORWARD), (0, 2, REVERSE)] + + def test_prev_explored(self): + # https://github.com/networkx/networkx/issues/2323 + + G = nx.DiGraph() + G.add_edges_from([(1, 0), (2, 0), (1, 2), (2, 1)]) + pytest.raises(nx.NetworkXNoCycle, nx.find_cycle, G, source=0) + x = list(nx.find_cycle(G, 1)) + x_ = [(1, 2), (2, 1)] + assert x == x_ + + x = list(nx.find_cycle(G, 2)) + x_ = [(2, 1), (1, 2)] + assert x == x_ + + x = list(nx.find_cycle(G)) + x_ = [(1, 2), (2, 1)] + assert x == x_ + + def test_no_cycle(self): + # https://github.com/networkx/networkx/issues/2439 + + G = nx.DiGraph() + G.add_edges_from([(1, 2), (2, 0), (3, 1), (3, 2)]) + pytest.raises(nx.NetworkXNoCycle, nx.find_cycle, G, source=0) + pytest.raises(nx.NetworkXNoCycle, nx.find_cycle, G) + + +def assert_basis_equal(a, b): + assert sorted(a) == sorted(b) + + +class TestMinimumCycleBasis: + @classmethod + def setup_class(cls): + T = nx.Graph() + nx.add_cycle(T, [1, 2, 3, 4], weight=1) + T.add_edge(2, 4, weight=5) + cls.diamond_graph = T + + def test_unweighted_diamond(self): + mcb = nx.minimum_cycle_basis(self.diamond_graph) + assert_basis_equal(mcb, [[2, 4, 1], [3, 4, 2]]) + + def test_weighted_diamond(self): + mcb = nx.minimum_cycle_basis(self.diamond_graph, weight="weight") + assert_basis_equal(mcb, [[2, 4, 1], [4, 3, 2, 1]]) + + def test_dimensionality(self): + # checks |MCB|=|E|-|V|+|NC| + ntrial = 10 + for seed in range(1234, 1234 + ntrial): + rg = nx.erdos_renyi_graph(10, 0.3, seed=seed) + nnodes = rg.number_of_nodes() + nedges = rg.number_of_edges() + ncomp = nx.number_connected_components(rg) + + mcb = nx.minimum_cycle_basis(rg) + assert len(mcb) == nedges - nnodes + ncomp + check_independent(mcb) + + def test_complete_graph(self): + cg = nx.complete_graph(5) + mcb = nx.minimum_cycle_basis(cg) + assert all(len(cycle) == 3 for cycle in mcb) + check_independent(mcb) + + def test_tree_graph(self): + tg = nx.balanced_tree(3, 3) + assert not nx.minimum_cycle_basis(tg) + + def test_petersen_graph(self): + G = nx.petersen_graph() + mcb = list(nx.minimum_cycle_basis(G)) + expected = [ + [4, 9, 7, 5, 0], + [1, 2, 3, 4, 0], + [1, 6, 8, 5, 0], + [4, 3, 8, 5, 0], + [1, 6, 9, 4, 0], + [1, 2, 7, 5, 0], + ] + assert len(mcb) == len(expected) + assert all(c in expected for c in mcb) + + # check that order of the nodes is a path + for c in mcb: + assert all(G.has_edge(u, v) for u, v in nx.utils.pairwise(c, cyclic=True)) + # check independence of the basis + check_independent(mcb) + + def test_gh6787_variable_weighted_complete_graph(self): + N = 8 + cg = nx.complete_graph(N) + cg.add_weighted_edges_from([(u, v, 9) for u, v in cg.edges]) + cg.add_weighted_edges_from([(u, v, 1) for u, v in nx.cycle_graph(N).edges]) + mcb = nx.minimum_cycle_basis(cg, weight="weight") + check_independent(mcb) + + def test_gh6787_and_edge_attribute_names(self): + G = nx.cycle_graph(4) + G.add_weighted_edges_from([(0, 2, 10), (1, 3, 10)], weight="dist") + expected = [[1, 3, 0], [3, 2, 1, 0], [1, 2, 0]] + mcb = list(nx.minimum_cycle_basis(G, weight="dist")) + assert len(mcb) == len(expected) + assert all(c in expected for c in mcb) + + # test not using a weight with weight attributes + expected = [[1, 3, 0], [1, 2, 0], [3, 2, 0]] + mcb = list(nx.minimum_cycle_basis(G)) + assert len(mcb) == len(expected) + assert all(c in expected for c in mcb) + + +class TestGirth: + @pytest.mark.parametrize( + ("G", "expected"), + ( + (nx.chvatal_graph(), 4), + (nx.tutte_graph(), 4), + (nx.petersen_graph(), 5), + (nx.heawood_graph(), 6), + (nx.pappus_graph(), 6), + (nx.random_labeled_tree(10, seed=42), inf), + (nx.empty_graph(10), inf), + (nx.Graph(chain(cycle_edges(range(5)), cycle_edges(range(6, 10)))), 4), + ( + nx.Graph( + [ + (0, 6), + (0, 8), + (0, 9), + (1, 8), + (2, 8), + (2, 9), + (4, 9), + (5, 9), + (6, 8), + (6, 9), + (7, 8), + ] + ), + 3, + ), + ), + ) + def test_girth(self, G, expected): + assert nx.girth(G) == expected diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_d_separation.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_d_separation.py new file mode 100644 index 0000000000000000000000000000000000000000..6f62971301b9b51c967bf773dec6c267b5df24a9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_d_separation.py @@ -0,0 +1,348 @@ +from itertools import combinations + +import pytest + +import networkx as nx + + +def path_graph(): + """Return a path graph of length three.""" + G = nx.path_graph(3, create_using=nx.DiGraph) + G.graph["name"] = "path" + nx.freeze(G) + return G + + +def fork_graph(): + """Return a three node fork graph.""" + G = nx.DiGraph(name="fork") + G.add_edges_from([(0, 1), (0, 2)]) + nx.freeze(G) + return G + + +def collider_graph(): + """Return a collider/v-structure graph with three nodes.""" + G = nx.DiGraph(name="collider") + G.add_edges_from([(0, 2), (1, 2)]) + nx.freeze(G) + return G + + +def naive_bayes_graph(): + """Return a simply Naive Bayes PGM graph.""" + G = nx.DiGraph(name="naive_bayes") + G.add_edges_from([(0, 1), (0, 2), (0, 3), (0, 4)]) + nx.freeze(G) + return G + + +def asia_graph(): + """Return the 'Asia' PGM graph.""" + G = nx.DiGraph(name="asia") + G.add_edges_from( + [ + ("asia", "tuberculosis"), + ("smoking", "cancer"), + ("smoking", "bronchitis"), + ("tuberculosis", "either"), + ("cancer", "either"), + ("either", "xray"), + ("either", "dyspnea"), + ("bronchitis", "dyspnea"), + ] + ) + nx.freeze(G) + return G + + +@pytest.fixture(name="path_graph") +def path_graph_fixture(): + return path_graph() + + +@pytest.fixture(name="fork_graph") +def fork_graph_fixture(): + return fork_graph() + + +@pytest.fixture(name="collider_graph") +def collider_graph_fixture(): + return collider_graph() + + +@pytest.fixture(name="naive_bayes_graph") +def naive_bayes_graph_fixture(): + return naive_bayes_graph() + + +@pytest.fixture(name="asia_graph") +def asia_graph_fixture(): + return asia_graph() + + +@pytest.fixture() +def large_collider_graph(): + edge_list = [("A", "B"), ("C", "B"), ("B", "D"), ("D", "E"), ("B", "F"), ("G", "E")] + G = nx.DiGraph(edge_list) + return G + + +@pytest.fixture() +def chain_and_fork_graph(): + edge_list = [("A", "B"), ("B", "C"), ("B", "D"), ("D", "C")] + G = nx.DiGraph(edge_list) + return G + + +@pytest.fixture() +def no_separating_set_graph(): + edge_list = [("A", "B")] + G = nx.DiGraph(edge_list) + return G + + +@pytest.fixture() +def large_no_separating_set_graph(): + edge_list = [("A", "B"), ("C", "A"), ("C", "B")] + G = nx.DiGraph(edge_list) + return G + + +@pytest.fixture() +def collider_trek_graph(): + edge_list = [("A", "B"), ("C", "B"), ("C", "D")] + G = nx.DiGraph(edge_list) + return G + + +@pytest.mark.parametrize( + "graph", + [path_graph(), fork_graph(), collider_graph(), naive_bayes_graph(), asia_graph()], +) +def test_markov_condition(graph): + """Test that the Markov condition holds for each PGM graph.""" + for node in graph.nodes: + parents = set(graph.predecessors(node)) + non_descendants = graph.nodes - nx.descendants(graph, node) - {node} - parents + assert nx.is_d_separator(graph, {node}, non_descendants, parents) + + +def test_path_graph_dsep(path_graph): + """Example-based test of d-separation for path_graph.""" + assert nx.is_d_separator(path_graph, {0}, {2}, {1}) + assert not nx.is_d_separator(path_graph, {0}, {2}, set()) + + +def test_fork_graph_dsep(fork_graph): + """Example-based test of d-separation for fork_graph.""" + assert nx.is_d_separator(fork_graph, {1}, {2}, {0}) + assert not nx.is_d_separator(fork_graph, {1}, {2}, set()) + + +def test_collider_graph_dsep(collider_graph): + """Example-based test of d-separation for collider_graph.""" + assert nx.is_d_separator(collider_graph, {0}, {1}, set()) + assert not nx.is_d_separator(collider_graph, {0}, {1}, {2}) + + +def test_naive_bayes_dsep(naive_bayes_graph): + """Example-based test of d-separation for naive_bayes_graph.""" + for u, v in combinations(range(1, 5), 2): + assert nx.is_d_separator(naive_bayes_graph, {u}, {v}, {0}) + assert not nx.is_d_separator(naive_bayes_graph, {u}, {v}, set()) + + +def test_asia_graph_dsep(asia_graph): + """Example-based test of d-separation for asia_graph.""" + assert nx.is_d_separator( + asia_graph, {"asia", "smoking"}, {"dyspnea", "xray"}, {"bronchitis", "either"} + ) + assert nx.is_d_separator( + asia_graph, {"tuberculosis", "cancer"}, {"bronchitis"}, {"smoking", "xray"} + ) + + +def test_undirected_graphs_are_not_supported(): + """ + Test that undirected graphs are not supported. + + d-separation and its related algorithms do not apply in + the case of undirected graphs. + """ + g = nx.path_graph(3, nx.Graph) + with pytest.raises(nx.NetworkXNotImplemented): + nx.is_d_separator(g, {0}, {1}, {2}) + with pytest.raises(nx.NetworkXNotImplemented): + nx.is_minimal_d_separator(g, {0}, {1}, {2}) + with pytest.raises(nx.NetworkXNotImplemented): + nx.find_minimal_d_separator(g, {0}, {1}) + + +def test_cyclic_graphs_raise_error(): + """ + Test that cycle graphs should cause erroring. + + This is because PGMs assume a directed acyclic graph. + """ + g = nx.cycle_graph(3, nx.DiGraph) + with pytest.raises(nx.NetworkXError): + nx.is_d_separator(g, {0}, {1}, {2}) + with pytest.raises(nx.NetworkXError): + nx.find_minimal_d_separator(g, {0}, {1}) + with pytest.raises(nx.NetworkXError): + nx.is_minimal_d_separator(g, {0}, {1}, {2}) + + +def test_invalid_nodes_raise_error(asia_graph): + """ + Test that graphs that have invalid nodes passed in raise errors. + """ + # Check both set and node arguments + with pytest.raises(nx.NodeNotFound): + nx.is_d_separator(asia_graph, {0}, {1}, {2}) + with pytest.raises(nx.NodeNotFound): + nx.is_d_separator(asia_graph, 0, 1, 2) + with pytest.raises(nx.NodeNotFound): + nx.is_minimal_d_separator(asia_graph, {0}, {1}, {2}) + with pytest.raises(nx.NodeNotFound): + nx.is_minimal_d_separator(asia_graph, 0, 1, 2) + with pytest.raises(nx.NodeNotFound): + nx.find_minimal_d_separator(asia_graph, {0}, {1}) + with pytest.raises(nx.NodeNotFound): + nx.find_minimal_d_separator(asia_graph, 0, 1) + + +def test_nondisjoint_node_sets_raise_error(collider_graph): + """ + Test that error is raised when node sets aren't disjoint. + """ + with pytest.raises(nx.NetworkXError): + nx.is_d_separator(collider_graph, 0, 1, 0) + with pytest.raises(nx.NetworkXError): + nx.is_d_separator(collider_graph, 0, 2, 0) + with pytest.raises(nx.NetworkXError): + nx.is_d_separator(collider_graph, 0, 0, 1) + with pytest.raises(nx.NetworkXError): + nx.is_d_separator(collider_graph, 1, 0, 0) + with pytest.raises(nx.NetworkXError): + nx.find_minimal_d_separator(collider_graph, 0, 0) + with pytest.raises(nx.NetworkXError): + nx.find_minimal_d_separator(collider_graph, 0, 1, included=0) + with pytest.raises(nx.NetworkXError): + nx.find_minimal_d_separator(collider_graph, 1, 0, included=0) + with pytest.raises(nx.NetworkXError): + nx.is_minimal_d_separator(collider_graph, 0, 0, set()) + with pytest.raises(nx.NetworkXError): + nx.is_minimal_d_separator(collider_graph, 0, 1, set(), included=0) + with pytest.raises(nx.NetworkXError): + nx.is_minimal_d_separator(collider_graph, 1, 0, set(), included=0) + + +def test_is_minimal_d_separator( + large_collider_graph, + chain_and_fork_graph, + no_separating_set_graph, + large_no_separating_set_graph, + collider_trek_graph, +): + # Case 1: + # create a graph A -> B <- C + # B -> D -> E; + # B -> F; + # G -> E; + assert not nx.is_d_separator(large_collider_graph, {"B"}, {"E"}, set()) + + # minimal set of the corresponding graph + # for B and E should be (D,) + Zmin = nx.find_minimal_d_separator(large_collider_graph, "B", "E") + # check that the minimal d-separator is a d-separating set + assert nx.is_d_separator(large_collider_graph, "B", "E", Zmin) + # the minimal separating set should also pass the test for minimality + assert nx.is_minimal_d_separator(large_collider_graph, "B", "E", Zmin) + # function should also work with set arguments + assert nx.is_minimal_d_separator(large_collider_graph, {"A", "B"}, {"G", "E"}, Zmin) + assert Zmin == {"D"} + + # Case 2: + # create a graph A -> B -> C + # B -> D -> C; + assert not nx.is_d_separator(chain_and_fork_graph, {"A"}, {"C"}, set()) + Zmin = nx.find_minimal_d_separator(chain_and_fork_graph, "A", "C") + + # the minimal separating set should pass the test for minimality + assert nx.is_minimal_d_separator(chain_and_fork_graph, "A", "C", Zmin) + assert Zmin == {"B"} + Znotmin = Zmin.union({"D"}) + assert not nx.is_minimal_d_separator(chain_and_fork_graph, "A", "C", Znotmin) + + # Case 3: + # create a graph A -> B + + # there is no m-separating set between A and B at all, so + # no minimal m-separating set can exist + assert not nx.is_d_separator(no_separating_set_graph, {"A"}, {"B"}, set()) + assert nx.find_minimal_d_separator(no_separating_set_graph, "A", "B") is None + + # Case 4: + # create a graph A -> B with A <- C -> B + + # there is no m-separating set between A and B at all, so + # no minimal m-separating set can exist + # however, the algorithm will initially propose C as a + # minimal (but invalid) separating set + assert not nx.is_d_separator(large_no_separating_set_graph, {"A"}, {"B"}, {"C"}) + assert nx.find_minimal_d_separator(large_no_separating_set_graph, "A", "B") is None + + # Test `included` and `excluded` args + # create graph A -> B <- C -> D + assert nx.find_minimal_d_separator(collider_trek_graph, "A", "D", included="B") == { + "B", + "C", + } + assert ( + nx.find_minimal_d_separator( + collider_trek_graph, "A", "D", included="B", restricted="B" + ) + is None + ) + + +def test_is_minimal_d_separator_checks_dsep(): + """Test that is_minimal_d_separator checks for d-separation as well.""" + g = nx.DiGraph() + g.add_edges_from( + [ + ("A", "B"), + ("A", "E"), + ("B", "C"), + ("B", "D"), + ("D", "C"), + ("D", "F"), + ("E", "D"), + ("E", "F"), + ] + ) + + assert not nx.is_d_separator(g, {"C"}, {"F"}, {"D"}) + + # since {'D'} and {} are not d-separators, we return false + assert not nx.is_minimal_d_separator(g, "C", "F", {"D"}) + assert not nx.is_minimal_d_separator(g, "C", "F", set()) + + +def test__reachable(large_collider_graph): + reachable = nx.algorithms.d_separation._reachable + g = large_collider_graph + x = {"F", "D"} + ancestors = {"A", "B", "C", "D", "F"} + assert reachable(g, x, ancestors, {"B"}) == {"B", "F", "D"} + assert reachable(g, x, ancestors, set()) == ancestors + + +def test_deprecations(): + G = nx.DiGraph([(0, 1), (1, 2)]) + with pytest.deprecated_call(): + nx.d_separated(G, 0, 2, {1}) + with pytest.deprecated_call(): + z = nx.minimal_d_separator(G, 0, 2) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dag.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dag.py new file mode 100644 index 0000000000000000000000000000000000000000..e98a6a0ef537c71075ff2690716cffec81b22d7f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dag.py @@ -0,0 +1,835 @@ +from collections import deque +from itertools import combinations, permutations + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, pairwise + + +# Recipe from the itertools documentation. +def _consume(iterator): + "Consume the iterator entirely." + # Feed the entire iterator into a zero-length deque. + deque(iterator, maxlen=0) + + +class TestDagLongestPath: + """Unit tests computing the longest path in a directed acyclic graph.""" + + def test_empty(self): + G = nx.DiGraph() + assert nx.dag_longest_path(G) == [] + + def test_unweighted1(self): + edges = [(1, 2), (2, 3), (2, 4), (3, 5), (5, 6), (3, 7)] + G = nx.DiGraph(edges) + assert nx.dag_longest_path(G) == [1, 2, 3, 5, 6] + + def test_unweighted2(self): + edges = [(1, 2), (2, 3), (3, 4), (4, 5), (1, 3), (1, 5), (3, 5)] + G = nx.DiGraph(edges) + assert nx.dag_longest_path(G) == [1, 2, 3, 4, 5] + + def test_weighted(self): + G = nx.DiGraph() + edges = [(1, 2, -5), (2, 3, 1), (3, 4, 1), (4, 5, 0), (3, 5, 4), (1, 6, 2)] + G.add_weighted_edges_from(edges) + assert nx.dag_longest_path(G) == [2, 3, 5] + + def test_undirected_not_implemented(self): + G = nx.Graph() + pytest.raises(nx.NetworkXNotImplemented, nx.dag_longest_path, G) + + def test_unorderable_nodes(self): + """Tests that computing the longest path does not depend on + nodes being orderable. + + For more information, see issue #1989. + + """ + # Create the directed path graph on four nodes in a diamond shape, + # with nodes represented as (unorderable) Python objects. + nodes = [object() for n in range(4)] + G = nx.DiGraph() + G.add_edge(nodes[0], nodes[1]) + G.add_edge(nodes[0], nodes[2]) + G.add_edge(nodes[2], nodes[3]) + G.add_edge(nodes[1], nodes[3]) + + # this will raise NotImplementedError when nodes need to be ordered + nx.dag_longest_path(G) + + def test_multigraph_unweighted(self): + edges = [(1, 2), (2, 3), (2, 3), (3, 4), (4, 5), (1, 3), (1, 5), (3, 5)] + G = nx.MultiDiGraph(edges) + assert nx.dag_longest_path(G) == [1, 2, 3, 4, 5] + + def test_multigraph_weighted(self): + G = nx.MultiDiGraph() + edges = [ + (1, 2, 2), + (2, 3, 2), + (1, 3, 1), + (1, 3, 5), + (1, 3, 2), + ] + G.add_weighted_edges_from(edges) + assert nx.dag_longest_path(G) == [1, 3] + + def test_multigraph_weighted_default_weight(self): + G = nx.MultiDiGraph([(1, 2), (2, 3)]) # Unweighted edges + G.add_weighted_edges_from([(1, 3, 1), (1, 3, 5), (1, 3, 2)]) + + # Default value for default weight is 1 + assert nx.dag_longest_path(G) == [1, 3] + assert nx.dag_longest_path(G, default_weight=3) == [1, 2, 3] + + +class TestDagLongestPathLength: + """Unit tests for computing the length of a longest path in a + directed acyclic graph. + + """ + + def test_unweighted(self): + edges = [(1, 2), (2, 3), (2, 4), (3, 5), (5, 6), (5, 7)] + G = nx.DiGraph(edges) + assert nx.dag_longest_path_length(G) == 4 + + edges = [(1, 2), (2, 3), (3, 4), (4, 5), (1, 3), (1, 5), (3, 5)] + G = nx.DiGraph(edges) + assert nx.dag_longest_path_length(G) == 4 + + # test degenerate graphs + G = nx.DiGraph() + G.add_node(1) + assert nx.dag_longest_path_length(G) == 0 + + def test_undirected_not_implemented(self): + G = nx.Graph() + pytest.raises(nx.NetworkXNotImplemented, nx.dag_longest_path_length, G) + + def test_weighted(self): + edges = [(1, 2, -5), (2, 3, 1), (3, 4, 1), (4, 5, 0), (3, 5, 4), (1, 6, 2)] + G = nx.DiGraph() + G.add_weighted_edges_from(edges) + assert nx.dag_longest_path_length(G) == 5 + + def test_multigraph_unweighted(self): + edges = [(1, 2), (2, 3), (2, 3), (3, 4), (4, 5), (1, 3), (1, 5), (3, 5)] + G = nx.MultiDiGraph(edges) + assert nx.dag_longest_path_length(G) == 4 + + def test_multigraph_weighted(self): + G = nx.MultiDiGraph() + edges = [ + (1, 2, 2), + (2, 3, 2), + (1, 3, 1), + (1, 3, 5), + (1, 3, 2), + ] + G.add_weighted_edges_from(edges) + assert nx.dag_longest_path_length(G) == 5 + + +class TestDAG: + @classmethod + def setup_class(cls): + pass + + def test_topological_sort1(self): + DG = nx.DiGraph([(1, 2), (1, 3), (2, 3)]) + + for algorithm in [nx.topological_sort, nx.lexicographical_topological_sort]: + assert tuple(algorithm(DG)) == (1, 2, 3) + + DG.add_edge(3, 2) + + for algorithm in [nx.topological_sort, nx.lexicographical_topological_sort]: + pytest.raises(nx.NetworkXUnfeasible, _consume, algorithm(DG)) + + DG.remove_edge(2, 3) + + for algorithm in [nx.topological_sort, nx.lexicographical_topological_sort]: + assert tuple(algorithm(DG)) == (1, 3, 2) + + DG.remove_edge(3, 2) + + assert tuple(nx.topological_sort(DG)) in {(1, 2, 3), (1, 3, 2)} + assert tuple(nx.lexicographical_topological_sort(DG)) == (1, 2, 3) + + def test_is_directed_acyclic_graph(self): + G = nx.generators.complete_graph(2) + assert not nx.is_directed_acyclic_graph(G) + assert not nx.is_directed_acyclic_graph(G.to_directed()) + assert not nx.is_directed_acyclic_graph(nx.Graph([(3, 4), (4, 5)])) + assert nx.is_directed_acyclic_graph(nx.DiGraph([(3, 4), (4, 5)])) + + def test_topological_sort2(self): + DG = nx.DiGraph( + { + 1: [2], + 2: [3], + 3: [4], + 4: [5], + 5: [1], + 11: [12], + 12: [13], + 13: [14], + 14: [15], + } + ) + pytest.raises(nx.NetworkXUnfeasible, _consume, nx.topological_sort(DG)) + + assert not nx.is_directed_acyclic_graph(DG) + + DG.remove_edge(1, 2) + _consume(nx.topological_sort(DG)) + assert nx.is_directed_acyclic_graph(DG) + + def test_topological_sort3(self): + DG = nx.DiGraph() + DG.add_edges_from([(1, i) for i in range(2, 5)]) + DG.add_edges_from([(2, i) for i in range(5, 9)]) + DG.add_edges_from([(6, i) for i in range(9, 12)]) + DG.add_edges_from([(4, i) for i in range(12, 15)]) + + def validate(order): + assert isinstance(order, list) + assert set(order) == set(DG) + for u, v in combinations(order, 2): + assert not nx.has_path(DG, v, u) + + validate(list(nx.topological_sort(DG))) + + DG.add_edge(14, 1) + pytest.raises(nx.NetworkXUnfeasible, _consume, nx.topological_sort(DG)) + + def test_topological_sort4(self): + G = nx.Graph() + G.add_edge(1, 2) + # Only directed graphs can be topologically sorted. + pytest.raises(nx.NetworkXError, _consume, nx.topological_sort(G)) + + def test_topological_sort5(self): + G = nx.DiGraph() + G.add_edge(0, 1) + assert list(nx.topological_sort(G)) == [0, 1] + + def test_topological_sort6(self): + for algorithm in [nx.topological_sort, nx.lexicographical_topological_sort]: + + def runtime_error(): + DG = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + first = True + for x in algorithm(DG): + if first: + first = False + DG.add_edge(5 - x, 5) + + def unfeasible_error(): + DG = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + first = True + for x in algorithm(DG): + if first: + first = False + DG.remove_node(4) + + def runtime_error2(): + DG = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + first = True + for x in algorithm(DG): + if first: + first = False + DG.remove_node(2) + + pytest.raises(RuntimeError, runtime_error) + pytest.raises(RuntimeError, runtime_error2) + pytest.raises(nx.NetworkXUnfeasible, unfeasible_error) + + def test_all_topological_sorts_1(self): + DG = nx.DiGraph([(1, 2), (2, 3), (3, 4), (4, 5)]) + assert list(nx.all_topological_sorts(DG)) == [[1, 2, 3, 4, 5]] + + def test_all_topological_sorts_2(self): + DG = nx.DiGraph([(1, 3), (2, 1), (2, 4), (4, 3), (4, 5)]) + assert sorted(nx.all_topological_sorts(DG)) == [ + [2, 1, 4, 3, 5], + [2, 1, 4, 5, 3], + [2, 4, 1, 3, 5], + [2, 4, 1, 5, 3], + [2, 4, 5, 1, 3], + ] + + def test_all_topological_sorts_3(self): + def unfeasible(): + DG = nx.DiGraph([(1, 2), (2, 3), (3, 4), (4, 2), (4, 5)]) + # convert to list to execute generator + list(nx.all_topological_sorts(DG)) + + def not_implemented(): + G = nx.Graph([(1, 2), (2, 3)]) + # convert to list to execute generator + list(nx.all_topological_sorts(G)) + + def not_implemented_2(): + G = nx.MultiGraph([(1, 2), (1, 2), (2, 3)]) + list(nx.all_topological_sorts(G)) + + pytest.raises(nx.NetworkXUnfeasible, unfeasible) + pytest.raises(nx.NetworkXNotImplemented, not_implemented) + pytest.raises(nx.NetworkXNotImplemented, not_implemented_2) + + def test_all_topological_sorts_4(self): + DG = nx.DiGraph() + for i in range(7): + DG.add_node(i) + assert sorted(map(list, permutations(DG.nodes))) == sorted( + nx.all_topological_sorts(DG) + ) + + def test_all_topological_sorts_multigraph_1(self): + DG = nx.MultiDiGraph([(1, 2), (1, 2), (2, 3), (3, 4), (3, 5), (3, 5), (3, 5)]) + assert sorted(nx.all_topological_sorts(DG)) == sorted( + [[1, 2, 3, 4, 5], [1, 2, 3, 5, 4]] + ) + + def test_all_topological_sorts_multigraph_2(self): + N = 9 + edges = [] + for i in range(1, N): + edges.extend([(i, i + 1)] * i) + DG = nx.MultiDiGraph(edges) + assert list(nx.all_topological_sorts(DG)) == [list(range(1, N + 1))] + + def test_ancestors(self): + G = nx.DiGraph() + ancestors = nx.algorithms.dag.ancestors + G.add_edges_from([(1, 2), (1, 3), (4, 2), (4, 3), (4, 5), (2, 6), (5, 6)]) + assert ancestors(G, 6) == {1, 2, 4, 5} + assert ancestors(G, 3) == {1, 4} + assert ancestors(G, 1) == set() + pytest.raises(nx.NetworkXError, ancestors, G, 8) + + def test_descendants(self): + G = nx.DiGraph() + descendants = nx.algorithms.dag.descendants + G.add_edges_from([(1, 2), (1, 3), (4, 2), (4, 3), (4, 5), (2, 6), (5, 6)]) + assert descendants(G, 1) == {2, 3, 6} + assert descendants(G, 4) == {2, 3, 5, 6} + assert descendants(G, 3) == set() + pytest.raises(nx.NetworkXError, descendants, G, 8) + + def test_transitive_closure(self): + G = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + assert edges_equal(nx.transitive_closure(G).edges(), solution) + G = nx.DiGraph([(1, 2), (2, 3), (2, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4)] + assert edges_equal(nx.transitive_closure(G).edges(), solution) + G = nx.DiGraph([(1, 2), (2, 3), (3, 1)]) + solution = [(1, 2), (2, 1), (2, 3), (3, 2), (1, 3), (3, 1)] + soln = sorted(solution + [(n, n) for n in G]) + assert edges_equal(sorted(nx.transitive_closure(G).edges()), soln) + + G = nx.Graph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + assert edges_equal(sorted(nx.transitive_closure(G).edges()), solution) + + G = nx.MultiGraph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + assert edges_equal(sorted(nx.transitive_closure(G).edges()), solution) + + G = nx.MultiDiGraph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + assert edges_equal(sorted(nx.transitive_closure(G).edges()), solution) + + # test if edge data is copied + G = nx.DiGraph([(1, 2, {"a": 3}), (2, 3, {"b": 0}), (3, 4)]) + H = nx.transitive_closure(G) + for u, v in G.edges(): + assert G.get_edge_data(u, v) == H.get_edge_data(u, v) + + k = 10 + G = nx.DiGraph((i, i + 1, {"f": "b", "weight": i}) for i in range(k)) + H = nx.transitive_closure(G) + for u, v in G.edges(): + assert G.get_edge_data(u, v) == H.get_edge_data(u, v) + + G = nx.Graph() + with pytest.raises(nx.NetworkXError): + nx.transitive_closure(G, reflexive="wrong input") + + def test_reflexive_transitive_closure(self): + G = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + soln = sorted(solution + [(n, n) for n in G]) + assert edges_equal(nx.transitive_closure(G).edges(), solution) + assert edges_equal(nx.transitive_closure(G, False).edges(), solution) + assert edges_equal(nx.transitive_closure(G, True).edges(), soln) + assert edges_equal(nx.transitive_closure(G, None).edges(), solution) + + G = nx.DiGraph([(1, 2), (2, 3), (2, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4)] + soln = sorted(solution + [(n, n) for n in G]) + assert edges_equal(nx.transitive_closure(G).edges(), solution) + assert edges_equal(nx.transitive_closure(G, False).edges(), solution) + assert edges_equal(nx.transitive_closure(G, True).edges(), soln) + assert edges_equal(nx.transitive_closure(G, None).edges(), solution) + + G = nx.DiGraph([(1, 2), (2, 3), (3, 1)]) + solution = sorted([(1, 2), (2, 1), (2, 3), (3, 2), (1, 3), (3, 1)]) + soln = sorted(solution + [(n, n) for n in G]) + assert edges_equal(sorted(nx.transitive_closure(G).edges()), soln) + assert edges_equal(sorted(nx.transitive_closure(G, False).edges()), soln) + assert edges_equal(sorted(nx.transitive_closure(G, None).edges()), solution) + assert edges_equal(sorted(nx.transitive_closure(G, True).edges()), soln) + + G = nx.Graph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + soln = sorted(solution + [(n, n) for n in G]) + assert edges_equal(nx.transitive_closure(G).edges(), solution) + assert edges_equal(nx.transitive_closure(G, False).edges(), solution) + assert edges_equal(nx.transitive_closure(G, True).edges(), soln) + assert edges_equal(nx.transitive_closure(G, None).edges(), solution) + + G = nx.MultiGraph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + soln = sorted(solution + [(n, n) for n in G]) + assert edges_equal(nx.transitive_closure(G).edges(), solution) + assert edges_equal(nx.transitive_closure(G, False).edges(), solution) + assert edges_equal(nx.transitive_closure(G, True).edges(), soln) + assert edges_equal(nx.transitive_closure(G, None).edges(), solution) + + G = nx.MultiDiGraph([(1, 2), (2, 3), (3, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + soln = sorted(solution + [(n, n) for n in G]) + assert edges_equal(nx.transitive_closure(G).edges(), solution) + assert edges_equal(nx.transitive_closure(G, False).edges(), solution) + assert edges_equal(nx.transitive_closure(G, True).edges(), soln) + assert edges_equal(nx.transitive_closure(G, None).edges(), solution) + + def test_transitive_closure_dag(self): + G = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + transitive_closure = nx.algorithms.dag.transitive_closure_dag + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + assert edges_equal(transitive_closure(G).edges(), solution) + G = nx.DiGraph([(1, 2), (2, 3), (2, 4)]) + solution = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4)] + assert edges_equal(transitive_closure(G).edges(), solution) + G = nx.Graph([(1, 2), (2, 3), (3, 4)]) + pytest.raises(nx.NetworkXNotImplemented, transitive_closure, G) + + # test if edge data is copied + G = nx.DiGraph([(1, 2, {"a": 3}), (2, 3, {"b": 0}), (3, 4)]) + H = transitive_closure(G) + for u, v in G.edges(): + assert G.get_edge_data(u, v) == H.get_edge_data(u, v) + + k = 10 + G = nx.DiGraph((i, i + 1, {"foo": "bar", "weight": i}) for i in range(k)) + H = transitive_closure(G) + for u, v in G.edges(): + assert G.get_edge_data(u, v) == H.get_edge_data(u, v) + + def test_transitive_reduction(self): + G = nx.DiGraph([(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]) + transitive_reduction = nx.algorithms.dag.transitive_reduction + solution = [(1, 2), (2, 3), (3, 4)] + assert edges_equal(transitive_reduction(G).edges(), solution) + G = nx.DiGraph([(1, 2), (1, 3), (1, 4), (2, 3), (2, 4)]) + transitive_reduction = nx.algorithms.dag.transitive_reduction + solution = [(1, 2), (2, 3), (2, 4)] + assert edges_equal(transitive_reduction(G).edges(), solution) + G = nx.Graph([(1, 2), (2, 3), (3, 4)]) + pytest.raises(nx.NetworkXNotImplemented, transitive_reduction, G) + + def _check_antichains(self, solution, result): + sol = [frozenset(a) for a in solution] + res = [frozenset(a) for a in result] + assert set(sol) == set(res) + + def test_antichains(self): + antichains = nx.algorithms.dag.antichains + G = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + solution = [[], [4], [3], [2], [1]] + self._check_antichains(list(antichains(G)), solution) + G = nx.DiGraph([(1, 2), (2, 3), (2, 4), (3, 5), (5, 6), (5, 7)]) + solution = [ + [], + [4], + [7], + [7, 4], + [6], + [6, 4], + [6, 7], + [6, 7, 4], + [5], + [5, 4], + [3], + [3, 4], + [2], + [1], + ] + self._check_antichains(list(antichains(G)), solution) + G = nx.DiGraph([(1, 2), (1, 3), (3, 4), (3, 5), (5, 6)]) + solution = [ + [], + [6], + [5], + [4], + [4, 6], + [4, 5], + [3], + [2], + [2, 6], + [2, 5], + [2, 4], + [2, 4, 6], + [2, 4, 5], + [2, 3], + [1], + ] + self._check_antichains(list(antichains(G)), solution) + G = nx.DiGraph({0: [1, 2], 1: [4], 2: [3], 3: [4]}) + solution = [[], [4], [3], [2], [1], [1, 3], [1, 2], [0]] + self._check_antichains(list(antichains(G)), solution) + G = nx.DiGraph() + self._check_antichains(list(antichains(G)), [[]]) + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2]) + solution = [[], [0], [1], [1, 0], [2], [2, 0], [2, 1], [2, 1, 0]] + self._check_antichains(list(antichains(G)), solution) + + def f(x): + return list(antichains(x)) + + G = nx.Graph([(1, 2), (2, 3), (3, 4)]) + pytest.raises(nx.NetworkXNotImplemented, f, G) + G = nx.DiGraph([(1, 2), (2, 3), (3, 1)]) + pytest.raises(nx.NetworkXUnfeasible, f, G) + + def test_lexicographical_topological_sort(self): + G = nx.DiGraph([(1, 2), (2, 3), (1, 4), (1, 5), (2, 6)]) + assert list(nx.lexicographical_topological_sort(G)) == [1, 2, 3, 4, 5, 6] + assert list(nx.lexicographical_topological_sort(G, key=lambda x: x)) == [ + 1, + 2, + 3, + 4, + 5, + 6, + ] + assert list(nx.lexicographical_topological_sort(G, key=lambda x: -x)) == [ + 1, + 5, + 4, + 2, + 6, + 3, + ] + + def test_lexicographical_topological_sort2(self): + """ + Check the case of two or more nodes with same key value. + Want to avoid exception raised due to comparing nodes directly. + See Issue #3493 + """ + + class Test_Node: + def __init__(self, n): + self.label = n + self.priority = 1 + + def __repr__(self): + return f"Node({self.label})" + + def sorting_key(node): + return node.priority + + test_nodes = [Test_Node(n) for n in range(4)] + G = nx.DiGraph() + edges = [(0, 1), (0, 2), (0, 3), (2, 3)] + G.add_edges_from((test_nodes[a], test_nodes[b]) for a, b in edges) + + sorting = list(nx.lexicographical_topological_sort(G, key=sorting_key)) + assert sorting == test_nodes + + +def test_topological_generations(): + G = nx.DiGraph( + {1: [2, 3], 2: [4, 5], 3: [7], 4: [], 5: [6, 7], 6: [], 7: []} + ).reverse() + # order within each generation is inconsequential + generations = [sorted(gen) for gen in nx.topological_generations(G)] + expected = [[4, 6, 7], [3, 5], [2], [1]] + assert generations == expected + + MG = nx.MultiDiGraph(G.edges) + MG.add_edge(2, 1) + generations = [sorted(gen) for gen in nx.topological_generations(MG)] + assert generations == expected + + +def test_topological_generations_empty(): + G = nx.DiGraph() + assert list(nx.topological_generations(G)) == [] + + +def test_topological_generations_cycle(): + G = nx.DiGraph([[2, 1], [3, 1], [1, 2]]) + with pytest.raises(nx.NetworkXUnfeasible): + list(nx.topological_generations(G)) + + +def test_is_aperiodic_cycle(): + G = nx.DiGraph() + nx.add_cycle(G, [1, 2, 3, 4]) + assert not nx.is_aperiodic(G) + + +def test_is_aperiodic_cycle2(): + G = nx.DiGraph() + nx.add_cycle(G, [1, 2, 3, 4]) + nx.add_cycle(G, [3, 4, 5, 6, 7]) + assert nx.is_aperiodic(G) + + +def test_is_aperiodic_cycle3(): + G = nx.DiGraph() + nx.add_cycle(G, [1, 2, 3, 4]) + nx.add_cycle(G, [3, 4, 5, 6]) + assert not nx.is_aperiodic(G) + + +def test_is_aperiodic_cycle4(): + G = nx.DiGraph() + nx.add_cycle(G, [1, 2, 3, 4]) + G.add_edge(1, 3) + assert nx.is_aperiodic(G) + + +def test_is_aperiodic_selfloop(): + G = nx.DiGraph() + nx.add_cycle(G, [1, 2, 3, 4]) + G.add_edge(1, 1) + assert nx.is_aperiodic(G) + + +def test_is_aperiodic_undirected_raises(): + G = nx.Graph() + pytest.raises(nx.NetworkXError, nx.is_aperiodic, G) + + +def test_is_aperiodic_empty_graph(): + G = nx.empty_graph(create_using=nx.DiGraph) + with pytest.raises(nx.NetworkXPointlessConcept, match="Graph has no nodes."): + nx.is_aperiodic(G) + + +def test_is_aperiodic_bipartite(): + # Bipartite graph + G = nx.DiGraph(nx.davis_southern_women_graph()) + assert not nx.is_aperiodic(G) + + +def test_is_aperiodic_rary_tree(): + G = nx.full_rary_tree(3, 27, create_using=nx.DiGraph()) + assert not nx.is_aperiodic(G) + + +def test_is_aperiodic_disconnected(): + # disconnected graph + G = nx.DiGraph() + nx.add_cycle(G, [1, 2, 3, 4]) + nx.add_cycle(G, [5, 6, 7, 8]) + assert not nx.is_aperiodic(G) + G.add_edge(1, 3) + G.add_edge(5, 7) + assert nx.is_aperiodic(G) + + +def test_is_aperiodic_disconnected2(): + G = nx.DiGraph() + nx.add_cycle(G, [0, 1, 2]) + G.add_edge(3, 3) + assert not nx.is_aperiodic(G) + + +class TestDagToBranching: + """Unit tests for the :func:`networkx.dag_to_branching` function.""" + + def test_single_root(self): + """Tests that a directed acyclic graph with a single degree + zero node produces an arborescence. + + """ + G = nx.DiGraph([(0, 1), (0, 2), (1, 3), (2, 3)]) + B = nx.dag_to_branching(G) + expected = nx.DiGraph([(0, 1), (1, 3), (0, 2), (2, 4)]) + assert nx.is_arborescence(B) + assert nx.is_isomorphic(B, expected) + + def test_multiple_roots(self): + """Tests that a directed acyclic graph with multiple degree zero + nodes creates an arborescence with multiple (weakly) connected + components. + + """ + G = nx.DiGraph([(0, 1), (0, 2), (1, 3), (2, 3), (5, 2)]) + B = nx.dag_to_branching(G) + expected = nx.DiGraph([(0, 1), (1, 3), (0, 2), (2, 4), (5, 6), (6, 7)]) + assert nx.is_branching(B) + assert not nx.is_arborescence(B) + assert nx.is_isomorphic(B, expected) + + # # Attributes are not copied by this function. If they were, this would + # # be a good test to uncomment. + # def test_copy_attributes(self): + # """Tests that node attributes are copied in the branching.""" + # G = nx.DiGraph([(0, 1), (0, 2), (1, 3), (2, 3)]) + # for v in G: + # G.node[v]['label'] = str(v) + # B = nx.dag_to_branching(G) + # # Determine the root node of the branching. + # root = next(v for v, d in B.in_degree() if d == 0) + # assert_equal(B.node[root]['label'], '0') + # children = B[root] + # # Get the left and right children, nodes 1 and 2, respectively. + # left, right = sorted(children, key=lambda v: B.node[v]['label']) + # assert_equal(B.node[left]['label'], '1') + # assert_equal(B.node[right]['label'], '2') + # # Get the left grandchild. + # children = B[left] + # assert_equal(len(children), 1) + # left_grandchild = arbitrary_element(children) + # assert_equal(B.node[left_grandchild]['label'], '3') + # # Get the right grandchild. + # children = B[right] + # assert_equal(len(children), 1) + # right_grandchild = arbitrary_element(children) + # assert_equal(B.node[right_grandchild]['label'], '3') + + def test_already_arborescence(self): + """Tests that a directed acyclic graph that is already an + arborescence produces an isomorphic arborescence as output. + + """ + A = nx.balanced_tree(2, 2, create_using=nx.DiGraph()) + B = nx.dag_to_branching(A) + assert nx.is_isomorphic(A, B) + + def test_already_branching(self): + """Tests that a directed acyclic graph that is already a + branching produces an isomorphic branching as output. + + """ + T1 = nx.balanced_tree(2, 2, create_using=nx.DiGraph()) + T2 = nx.balanced_tree(2, 2, create_using=nx.DiGraph()) + G = nx.disjoint_union(T1, T2) + B = nx.dag_to_branching(G) + assert nx.is_isomorphic(G, B) + + def test_not_acyclic(self): + """Tests that a non-acyclic graph causes an exception.""" + with pytest.raises(nx.HasACycle): + G = nx.DiGraph(pairwise("abc", cyclic=True)) + nx.dag_to_branching(G) + + def test_undirected(self): + with pytest.raises(nx.NetworkXNotImplemented): + nx.dag_to_branching(nx.Graph()) + + def test_multigraph(self): + with pytest.raises(nx.NetworkXNotImplemented): + nx.dag_to_branching(nx.MultiGraph()) + + def test_multidigraph(self): + with pytest.raises(nx.NetworkXNotImplemented): + nx.dag_to_branching(nx.MultiDiGraph()) + + +def test_ancestors_descendants_undirected(): + """Regression test to ensure ancestors and descendants work as expected on + undirected graphs.""" + G = nx.path_graph(5) + nx.ancestors(G, 2) == nx.descendants(G, 2) == {0, 1, 3, 4} + + +def test_compute_v_structures_raise(): + G = nx.Graph() + with pytest.raises(nx.NetworkXNotImplemented, match="for undirected type"): + nx.compute_v_structures(G) + + +def test_compute_v_structures(): + edges = [(0, 1), (0, 2), (3, 2)] + G = nx.DiGraph(edges) + + v_structs = set(nx.compute_v_structures(G)) + assert len(v_structs) == 1 + assert (0, 2, 3) in v_structs + + edges = [("A", "B"), ("C", "B"), ("B", "D"), ("D", "E"), ("G", "E")] + G = nx.DiGraph(edges) + v_structs = set(nx.compute_v_structures(G)) + assert len(v_structs) == 2 + + +def test_compute_v_structures_deprecated(): + G = nx.DiGraph() + with pytest.deprecated_call(): + nx.compute_v_structures(G) + + +def test_v_structures_raise(): + G = nx.Graph() + with pytest.raises(nx.NetworkXNotImplemented, match="for undirected type"): + nx.dag.v_structures(G) + + +@pytest.mark.parametrize( + ("edgelist", "expected"), + ( + ( + [(0, 1), (0, 2), (3, 2)], + {(0, 2, 3)}, + ), + ( + [("A", "B"), ("C", "B"), ("D", "G"), ("D", "E"), ("G", "E")], + {("A", "B", "C")}, + ), + ([(0, 1), (2, 1), (0, 2)], set()), # adjacent parents case: see gh-7385 + ), +) +def test_v_structures(edgelist, expected): + G = nx.DiGraph(edgelist) + v_structs = set(nx.dag.v_structures(G)) + assert v_structs == expected + + +def test_colliders_raise(): + G = nx.Graph() + with pytest.raises(nx.NetworkXNotImplemented, match="for undirected type"): + nx.dag.colliders(G) + + +@pytest.mark.parametrize( + ("edgelist", "expected"), + ( + ( + [(0, 1), (0, 2), (3, 2)], + {(0, 2, 3)}, + ), + ( + [("A", "B"), ("C", "B"), ("D", "G"), ("D", "E"), ("G", "E")], + {("A", "B", "C"), ("D", "E", "G")}, + ), + ), +) +def test_colliders(edgelist, expected): + G = nx.DiGraph(edgelist) + colliders = set(nx.dag.colliders(G)) + assert colliders == expected diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_distance_measures.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_distance_measures.py new file mode 100644 index 0000000000000000000000000000000000000000..0b3840fd23e0bca32d708a276d4b3e328b9dc82d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_distance_measures.py @@ -0,0 +1,774 @@ +import math +from random import Random + +import pytest + +import networkx as nx +from networkx import convert_node_labels_to_integers as cnlti +from networkx.algorithms.distance_measures import _extrema_bounding + + +def test__extrema_bounding_invalid_compute_kwarg(): + G = nx.path_graph(3) + with pytest.raises(ValueError, match="compute must be one of"): + _extrema_bounding(G, compute="spam") + + +class TestDistance: + def setup_method(self): + G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") + self.G = G + + def test_eccentricity(self): + assert nx.eccentricity(self.G, 1) == 6 + e = nx.eccentricity(self.G) + assert e[1] == 6 + + sp = dict(nx.shortest_path_length(self.G)) + e = nx.eccentricity(self.G, sp=sp) + assert e[1] == 6 + + e = nx.eccentricity(self.G, v=1) + assert e == 6 + + # This behavior changed in version 1.8 (ticket #739) + e = nx.eccentricity(self.G, v=[1, 1]) + assert e[1] == 6 + e = nx.eccentricity(self.G, v=[1, 2]) + assert e[1] == 6 + + # test against graph with one node + G = nx.path_graph(1) + e = nx.eccentricity(G) + assert e[0] == 0 + e = nx.eccentricity(G, v=0) + assert e == 0 + pytest.raises(nx.NetworkXError, nx.eccentricity, G, 1) + + # test against empty graph + G = nx.empty_graph() + e = nx.eccentricity(G) + assert e == {} + + def test_diameter(self): + assert nx.diameter(self.G) == 6 + + def test_harmonic_diameter(self): + assert abs(nx.harmonic_diameter(self.G) - 2.0477815699658715) < 1e-12 + + def test_harmonic_diameter_empty(self): + assert math.isnan(nx.harmonic_diameter(nx.empty_graph())) + + def test_harmonic_diameter_single_node(self): + assert math.isnan(nx.harmonic_diameter(nx.empty_graph(1))) + + def test_harmonic_diameter_discrete(self): + assert math.isinf(nx.harmonic_diameter(nx.empty_graph(3))) + + def test_harmonic_diameter_not_strongly_connected(self): + DG = nx.DiGraph() + DG.add_edge(0, 1) + assert nx.harmonic_diameter(DG) == 2 + + def test_radius(self): + assert nx.radius(self.G) == 4 + + def test_periphery(self): + assert set(nx.periphery(self.G)) == {1, 4, 13, 16} + + def test_center(self): + assert set(nx.center(self.G)) == {6, 7, 10, 11} + + def test_bound_diameter(self): + assert nx.diameter(self.G, usebounds=True) == 6 + + def test_bound_radius(self): + assert nx.radius(self.G, usebounds=True) == 4 + + def test_bound_periphery(self): + result = {1, 4, 13, 16} + assert set(nx.periphery(self.G, usebounds=True)) == result + + def test_bound_center(self): + result = {6, 7, 10, 11} + assert set(nx.center(self.G, usebounds=True)) == result + + def test_radius_exception(self): + G = nx.Graph() + G.add_edge(1, 2) + G.add_edge(3, 4) + pytest.raises(nx.NetworkXError, nx.diameter, G) + + def test_eccentricity_infinite(self): + with pytest.raises(nx.NetworkXError): + G = nx.Graph([(1, 2), (3, 4)]) + e = nx.eccentricity(G) + + def test_eccentricity_undirected_not_connected(self): + with pytest.raises(nx.NetworkXError): + G = nx.Graph([(1, 2), (3, 4)]) + e = nx.eccentricity(G, sp=1) + + def test_eccentricity_directed_weakly_connected(self): + with pytest.raises(nx.NetworkXError): + DG = nx.DiGraph([(1, 2), (1, 3)]) + nx.eccentricity(DG) + + +class TestWeightedDistance: + def setup_method(self): + G = nx.Graph() + G.add_edge(0, 1, weight=0.6, cost=0.6, high_cost=6) + G.add_edge(0, 2, weight=0.2, cost=0.2, high_cost=2) + G.add_edge(2, 3, weight=0.1, cost=0.1, high_cost=1) + G.add_edge(2, 4, weight=0.7, cost=0.7, high_cost=7) + G.add_edge(2, 5, weight=0.9, cost=0.9, high_cost=9) + G.add_edge(1, 5, weight=0.3, cost=0.3, high_cost=3) + self.G = G + self.weight_fn = lambda v, u, e: 2 + + def test_eccentricity_weight_None(self): + assert nx.eccentricity(self.G, 1, weight=None) == 3 + e = nx.eccentricity(self.G, weight=None) + assert e[1] == 3 + + e = nx.eccentricity(self.G, v=1, weight=None) + assert e == 3 + + # This behavior changed in version 1.8 (ticket #739) + e = nx.eccentricity(self.G, v=[1, 1], weight=None) + assert e[1] == 3 + e = nx.eccentricity(self.G, v=[1, 2], weight=None) + assert e[1] == 3 + + def test_eccentricity_weight_attr(self): + assert nx.eccentricity(self.G, 1, weight="weight") == 1.5 + e = nx.eccentricity(self.G, weight="weight") + assert ( + e + == nx.eccentricity(self.G, weight="cost") + != nx.eccentricity(self.G, weight="high_cost") + ) + assert e[1] == 1.5 + + e = nx.eccentricity(self.G, v=1, weight="weight") + assert e == 1.5 + + # This behavior changed in version 1.8 (ticket #739) + e = nx.eccentricity(self.G, v=[1, 1], weight="weight") + assert e[1] == 1.5 + e = nx.eccentricity(self.G, v=[1, 2], weight="weight") + assert e[1] == 1.5 + + def test_eccentricity_weight_fn(self): + assert nx.eccentricity(self.G, 1, weight=self.weight_fn) == 6 + e = nx.eccentricity(self.G, weight=self.weight_fn) + assert e[1] == 6 + + e = nx.eccentricity(self.G, v=1, weight=self.weight_fn) + assert e == 6 + + # This behavior changed in version 1.8 (ticket #739) + e = nx.eccentricity(self.G, v=[1, 1], weight=self.weight_fn) + assert e[1] == 6 + e = nx.eccentricity(self.G, v=[1, 2], weight=self.weight_fn) + assert e[1] == 6 + + def test_diameter_weight_None(self): + assert nx.diameter(self.G, weight=None) == 3 + + def test_diameter_weight_attr(self): + assert ( + nx.diameter(self.G, weight="weight") + == nx.diameter(self.G, weight="cost") + == 1.6 + != nx.diameter(self.G, weight="high_cost") + ) + + def test_diameter_weight_fn(self): + assert nx.diameter(self.G, weight=self.weight_fn) == 6 + + def test_radius_weight_None(self): + assert pytest.approx(nx.radius(self.G, weight=None)) == 2 + + def test_radius_weight_attr(self): + assert ( + pytest.approx(nx.radius(self.G, weight="weight")) + == pytest.approx(nx.radius(self.G, weight="cost")) + == 0.9 + != nx.radius(self.G, weight="high_cost") + ) + + def test_radius_weight_fn(self): + assert nx.radius(self.G, weight=self.weight_fn) == 4 + + def test_periphery_weight_None(self): + for v in set(nx.periphery(self.G, weight=None)): + assert nx.eccentricity(self.G, v, weight=None) == nx.diameter( + self.G, weight=None + ) + + def test_periphery_weight_attr(self): + periphery = set(nx.periphery(self.G, weight="weight")) + assert ( + periphery + == set(nx.periphery(self.G, weight="cost")) + == set(nx.periphery(self.G, weight="high_cost")) + ) + for v in periphery: + assert ( + nx.eccentricity(self.G, v, weight="high_cost") + != nx.eccentricity(self.G, v, weight="weight") + == nx.eccentricity(self.G, v, weight="cost") + == nx.diameter(self.G, weight="weight") + == nx.diameter(self.G, weight="cost") + != nx.diameter(self.G, weight="high_cost") + ) + assert nx.eccentricity(self.G, v, weight="high_cost") == nx.diameter( + self.G, weight="high_cost" + ) + + def test_periphery_weight_fn(self): + for v in set(nx.periphery(self.G, weight=self.weight_fn)): + assert nx.eccentricity(self.G, v, weight=self.weight_fn) == nx.diameter( + self.G, weight=self.weight_fn + ) + + def test_center_weight_None(self): + for v in set(nx.center(self.G, weight=None)): + assert pytest.approx(nx.eccentricity(self.G, v, weight=None)) == nx.radius( + self.G, weight=None + ) + + def test_center_weight_attr(self): + center = set(nx.center(self.G, weight="weight")) + assert ( + center + == set(nx.center(self.G, weight="cost")) + != set(nx.center(self.G, weight="high_cost")) + ) + for v in center: + assert ( + nx.eccentricity(self.G, v, weight="high_cost") + != pytest.approx(nx.eccentricity(self.G, v, weight="weight")) + == pytest.approx(nx.eccentricity(self.G, v, weight="cost")) + == nx.radius(self.G, weight="weight") + == nx.radius(self.G, weight="cost") + != nx.radius(self.G, weight="high_cost") + ) + assert nx.eccentricity(self.G, v, weight="high_cost") == nx.radius( + self.G, weight="high_cost" + ) + + def test_center_weight_fn(self): + for v in set(nx.center(self.G, weight=self.weight_fn)): + assert nx.eccentricity(self.G, v, weight=self.weight_fn) == nx.radius( + self.G, weight=self.weight_fn + ) + + def test_bound_diameter_weight_None(self): + assert nx.diameter(self.G, usebounds=True, weight=None) == 3 + + def test_bound_diameter_weight_attr(self): + assert ( + nx.diameter(self.G, usebounds=True, weight="high_cost") + != nx.diameter(self.G, usebounds=True, weight="weight") + == nx.diameter(self.G, usebounds=True, weight="cost") + == 1.6 + != nx.diameter(self.G, usebounds=True, weight="high_cost") + ) + assert nx.diameter(self.G, usebounds=True, weight="high_cost") == nx.diameter( + self.G, usebounds=True, weight="high_cost" + ) + + def test_bound_diameter_weight_fn(self): + assert nx.diameter(self.G, usebounds=True, weight=self.weight_fn) == 6 + + def test_bound_radius_weight_None(self): + assert pytest.approx(nx.radius(self.G, usebounds=True, weight=None)) == 2 + + def test_bound_radius_weight_attr(self): + assert ( + nx.radius(self.G, usebounds=True, weight="high_cost") + != pytest.approx(nx.radius(self.G, usebounds=True, weight="weight")) + == pytest.approx(nx.radius(self.G, usebounds=True, weight="cost")) + == 0.9 + != nx.radius(self.G, usebounds=True, weight="high_cost") + ) + assert nx.radius(self.G, usebounds=True, weight="high_cost") == nx.radius( + self.G, usebounds=True, weight="high_cost" + ) + + def test_bound_radius_weight_fn(self): + assert nx.radius(self.G, usebounds=True, weight=self.weight_fn) == 4 + + def test_bound_periphery_weight_None(self): + result = {1, 3, 4} + assert set(nx.periphery(self.G, usebounds=True, weight=None)) == result + + def test_bound_periphery_weight_attr(self): + result = {4, 5} + assert ( + set(nx.periphery(self.G, usebounds=True, weight="weight")) + == set(nx.periphery(self.G, usebounds=True, weight="cost")) + == result + ) + + def test_bound_periphery_weight_fn(self): + result = {1, 3, 4} + assert ( + set(nx.periphery(self.G, usebounds=True, weight=self.weight_fn)) == result + ) + + def test_bound_center_weight_None(self): + result = {0, 2, 5} + assert set(nx.center(self.G, usebounds=True, weight=None)) == result + + def test_bound_center_weight_attr(self): + result = {0} + assert ( + set(nx.center(self.G, usebounds=True, weight="weight")) + == set(nx.center(self.G, usebounds=True, weight="cost")) + == result + ) + + def test_bound_center_weight_fn(self): + result = {0, 2, 5} + assert set(nx.center(self.G, usebounds=True, weight=self.weight_fn)) == result + + +class TestResistanceDistance: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + sp = pytest.importorskip("scipy") + + def setup_method(self): + G = nx.Graph() + G.add_edge(1, 2, weight=2) + G.add_edge(2, 3, weight=4) + G.add_edge(3, 4, weight=1) + G.add_edge(1, 4, weight=3) + self.G = G + + def test_resistance_distance_directed_graph(self): + G = nx.DiGraph() + with pytest.raises(nx.NetworkXNotImplemented): + nx.resistance_distance(G) + + def test_resistance_distance_empty(self): + G = nx.Graph() + with pytest.raises(nx.NetworkXError): + nx.resistance_distance(G) + + def test_resistance_distance_not_connected(self): + with pytest.raises(nx.NetworkXError): + self.G.add_node(5) + nx.resistance_distance(self.G, 1, 5) + + def test_resistance_distance_nodeA_not_in_graph(self): + with pytest.raises(nx.NetworkXError): + nx.resistance_distance(self.G, 9, 1) + + def test_resistance_distance_nodeB_not_in_graph(self): + with pytest.raises(nx.NetworkXError): + nx.resistance_distance(self.G, 1, 9) + + def test_resistance_distance(self): + rd = nx.resistance_distance(self.G, 1, 3, "weight", True) + test_data = 1 / (1 / (2 + 4) + 1 / (1 + 3)) + assert round(rd, 5) == round(test_data, 5) + + def test_resistance_distance_noinv(self): + rd = nx.resistance_distance(self.G, 1, 3, "weight", False) + test_data = 1 / (1 / (1 / 2 + 1 / 4) + 1 / (1 / 1 + 1 / 3)) + assert round(rd, 5) == round(test_data, 5) + + def test_resistance_distance_no_weight(self): + rd = nx.resistance_distance(self.G, 1, 3) + assert round(rd, 5) == 1 + + def test_resistance_distance_neg_weight(self): + self.G[2][3]["weight"] = -4 + rd = nx.resistance_distance(self.G, 1, 3, "weight", True) + test_data = 1 / (1 / (2 + -4) + 1 / (1 + 3)) + assert round(rd, 5) == round(test_data, 5) + + def test_multigraph(self): + G = nx.MultiGraph() + G.add_edge(1, 2, weight=2) + G.add_edge(2, 3, weight=4) + G.add_edge(3, 4, weight=1) + G.add_edge(1, 4, weight=3) + rd = nx.resistance_distance(G, 1, 3, "weight", True) + assert np.isclose(rd, 1 / (1 / (2 + 4) + 1 / (1 + 3))) + + def test_resistance_distance_div0(self): + with pytest.raises(ZeroDivisionError): + self.G[1][2]["weight"] = 0 + nx.resistance_distance(self.G, 1, 3, "weight") + + def test_resistance_distance_same_node(self): + assert nx.resistance_distance(self.G, 1, 1) == 0 + + def test_resistance_distance_only_nodeA(self): + rd = nx.resistance_distance(self.G, nodeA=1) + test_data = {} + test_data[1] = 0 + test_data[2] = 0.75 + test_data[3] = 1 + test_data[4] = 0.75 + assert type(rd) == dict + assert sorted(rd.keys()) == sorted(test_data.keys()) + for key in rd: + assert np.isclose(rd[key], test_data[key]) + + def test_resistance_distance_only_nodeB(self): + rd = nx.resistance_distance(self.G, nodeB=1) + test_data = {} + test_data[1] = 0 + test_data[2] = 0.75 + test_data[3] = 1 + test_data[4] = 0.75 + assert type(rd) == dict + assert sorted(rd.keys()) == sorted(test_data.keys()) + for key in rd: + assert np.isclose(rd[key], test_data[key]) + + def test_resistance_distance_all(self): + rd = nx.resistance_distance(self.G) + assert type(rd) == dict + assert round(rd[1][3], 5) == 1 + + +class TestEffectiveGraphResistance: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + sp = pytest.importorskip("scipy") + + def setup_method(self): + G = nx.Graph() + G.add_edge(1, 2, weight=2) + G.add_edge(1, 3, weight=1) + G.add_edge(2, 3, weight=4) + self.G = G + + def test_effective_graph_resistance_directed_graph(self): + G = nx.DiGraph() + with pytest.raises(nx.NetworkXNotImplemented): + nx.effective_graph_resistance(G) + + def test_effective_graph_resistance_empty(self): + G = nx.Graph() + with pytest.raises(nx.NetworkXError): + nx.effective_graph_resistance(G) + + def test_effective_graph_resistance_not_connected(self): + G = nx.Graph([(1, 2), (3, 4)]) + RG = nx.effective_graph_resistance(G) + assert np.isinf(RG) + + def test_effective_graph_resistance(self): + RG = nx.effective_graph_resistance(self.G, "weight", True) + rd12 = 1 / (1 / (1 + 4) + 1 / 2) + rd13 = 1 / (1 / (1 + 2) + 1 / 4) + rd23 = 1 / (1 / (2 + 4) + 1 / 1) + assert np.isclose(RG, rd12 + rd13 + rd23) + + def test_effective_graph_resistance_noinv(self): + RG = nx.effective_graph_resistance(self.G, "weight", False) + rd12 = 1 / (1 / (1 / 1 + 1 / 4) + 1 / (1 / 2)) + rd13 = 1 / (1 / (1 / 1 + 1 / 2) + 1 / (1 / 4)) + rd23 = 1 / (1 / (1 / 2 + 1 / 4) + 1 / (1 / 1)) + assert np.isclose(RG, rd12 + rd13 + rd23) + + def test_effective_graph_resistance_no_weight(self): + RG = nx.effective_graph_resistance(self.G) + assert np.isclose(RG, 2) + + def test_effective_graph_resistance_neg_weight(self): + self.G[2][3]["weight"] = -4 + RG = nx.effective_graph_resistance(self.G, "weight", True) + rd12 = 1 / (1 / (1 + -4) + 1 / 2) + rd13 = 1 / (1 / (1 + 2) + 1 / (-4)) + rd23 = 1 / (1 / (2 + -4) + 1 / 1) + assert np.isclose(RG, rd12 + rd13 + rd23) + + def test_effective_graph_resistance_multigraph(self): + G = nx.MultiGraph() + G.add_edge(1, 2, weight=2) + G.add_edge(1, 3, weight=1) + G.add_edge(2, 3, weight=1) + G.add_edge(2, 3, weight=3) + RG = nx.effective_graph_resistance(G, "weight", True) + edge23 = 1 / (1 / 1 + 1 / 3) + rd12 = 1 / (1 / (1 + edge23) + 1 / 2) + rd13 = 1 / (1 / (1 + 2) + 1 / edge23) + rd23 = 1 / (1 / (2 + edge23) + 1 / 1) + assert np.isclose(RG, rd12 + rd13 + rd23) + + def test_effective_graph_resistance_div0(self): + with pytest.raises(ZeroDivisionError): + self.G[1][2]["weight"] = 0 + nx.effective_graph_resistance(self.G, "weight") + + def test_effective_graph_resistance_complete_graph(self): + N = 10 + G = nx.complete_graph(N) + RG = nx.effective_graph_resistance(G) + assert np.isclose(RG, N - 1) + + def test_effective_graph_resistance_path_graph(self): + N = 10 + G = nx.path_graph(N) + RG = nx.effective_graph_resistance(G) + assert np.isclose(RG, (N - 1) * N * (N + 1) // 6) + + +class TestBarycenter: + """Test :func:`networkx.algorithms.distance_measures.barycenter`.""" + + def barycenter_as_subgraph(self, g, **kwargs): + """Return the subgraph induced on the barycenter of g""" + b = nx.barycenter(g, **kwargs) + assert isinstance(b, list) + assert set(b) <= set(g) + return g.subgraph(b) + + def test_must_be_connected(self): + pytest.raises(nx.NetworkXNoPath, nx.barycenter, nx.empty_graph(5)) + + def test_sp_kwarg(self): + # Complete graph K_5. Normally it works... + K_5 = nx.complete_graph(5) + sp = dict(nx.shortest_path_length(K_5)) + assert nx.barycenter(K_5, sp=sp) == list(K_5) + + # ...but not with the weight argument + for u, v, data in K_5.edges.data(): + data["weight"] = 1 + pytest.raises(ValueError, nx.barycenter, K_5, sp=sp, weight="weight") + + # ...and a corrupted sp can make it seem like K_5 is disconnected + del sp[0][1] + pytest.raises(nx.NetworkXNoPath, nx.barycenter, K_5, sp=sp) + + def test_trees(self): + """The barycenter of a tree is a single vertex or an edge. + + See [West01]_, p. 78. + """ + prng = Random(0xDEADBEEF) + for i in range(50): + RT = nx.random_labeled_tree(prng.randint(1, 75), seed=prng) + b = self.barycenter_as_subgraph(RT) + if len(b) == 2: + assert b.size() == 1 + else: + assert len(b) == 1 + assert b.size() == 0 + + def test_this_one_specific_tree(self): + """Test the tree pictured at the bottom of [West01]_, p. 78.""" + g = nx.Graph( + { + "a": ["b"], + "b": ["a", "x"], + "x": ["b", "y"], + "y": ["x", "z"], + "z": ["y", 0, 1, 2, 3, 4], + 0: ["z"], + 1: ["z"], + 2: ["z"], + 3: ["z"], + 4: ["z"], + } + ) + b = self.barycenter_as_subgraph(g, attr="barycentricity") + assert list(b) == ["z"] + assert not b.edges + expected_barycentricity = { + 0: 23, + 1: 23, + 2: 23, + 3: 23, + 4: 23, + "a": 35, + "b": 27, + "x": 21, + "y": 17, + "z": 15, + } + for node, barycentricity in expected_barycentricity.items(): + assert g.nodes[node]["barycentricity"] == barycentricity + + # Doubling weights should do nothing but double the barycentricities + for edge in g.edges: + g.edges[edge]["weight"] = 2 + b = self.barycenter_as_subgraph(g, weight="weight", attr="barycentricity2") + assert list(b) == ["z"] + assert not b.edges + for node, barycentricity in expected_barycentricity.items(): + assert g.nodes[node]["barycentricity2"] == barycentricity * 2 + + +class TestKemenyConstant: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + sp = pytest.importorskip("scipy") + + def setup_method(self): + G = nx.Graph() + w12 = 2 + w13 = 3 + w23 = 4 + G.add_edge(1, 2, weight=w12) + G.add_edge(1, 3, weight=w13) + G.add_edge(2, 3, weight=w23) + self.G = G + + def test_kemeny_constant_directed(self): + G = nx.DiGraph() + G.add_edge(1, 2) + G.add_edge(1, 3) + G.add_edge(2, 3) + with pytest.raises(nx.NetworkXNotImplemented): + nx.kemeny_constant(G) + + def test_kemeny_constant_not_connected(self): + self.G.add_node(5) + with pytest.raises(nx.NetworkXError): + nx.kemeny_constant(self.G) + + def test_kemeny_constant_no_nodes(self): + G = nx.Graph() + with pytest.raises(nx.NetworkXError): + nx.kemeny_constant(G) + + def test_kemeny_constant_negative_weight(self): + G = nx.Graph() + w12 = 2 + w13 = 3 + w23 = -10 + G.add_edge(1, 2, weight=w12) + G.add_edge(1, 3, weight=w13) + G.add_edge(2, 3, weight=w23) + with pytest.raises(nx.NetworkXError): + nx.kemeny_constant(G, weight="weight") + + def test_kemeny_constant(self): + K = nx.kemeny_constant(self.G, weight="weight") + w12 = 2 + w13 = 3 + w23 = 4 + test_data = ( + 3 + / 2 + * (w12 + w13) + * (w12 + w23) + * (w13 + w23) + / ( + w12**2 * (w13 + w23) + + w13**2 * (w12 + w23) + + w23**2 * (w12 + w13) + + 3 * w12 * w13 * w23 + ) + ) + assert np.isclose(K, test_data) + + def test_kemeny_constant_no_weight(self): + K = nx.kemeny_constant(self.G) + assert np.isclose(K, 4 / 3) + + def test_kemeny_constant_multigraph(self): + G = nx.MultiGraph() + w12_1 = 2 + w12_2 = 1 + w13 = 3 + w23 = 4 + G.add_edge(1, 2, weight=w12_1) + G.add_edge(1, 2, weight=w12_2) + G.add_edge(1, 3, weight=w13) + G.add_edge(2, 3, weight=w23) + K = nx.kemeny_constant(G, weight="weight") + w12 = w12_1 + w12_2 + test_data = ( + 3 + / 2 + * (w12 + w13) + * (w12 + w23) + * (w13 + w23) + / ( + w12**2 * (w13 + w23) + + w13**2 * (w12 + w23) + + w23**2 * (w12 + w13) + + 3 * w12 * w13 * w23 + ) + ) + assert np.isclose(K, test_data) + + def test_kemeny_constant_weight0(self): + G = nx.Graph() + w12 = 0 + w13 = 3 + w23 = 4 + G.add_edge(1, 2, weight=w12) + G.add_edge(1, 3, weight=w13) + G.add_edge(2, 3, weight=w23) + K = nx.kemeny_constant(G, weight="weight") + test_data = ( + 3 + / 2 + * (w12 + w13) + * (w12 + w23) + * (w13 + w23) + / ( + w12**2 * (w13 + w23) + + w13**2 * (w12 + w23) + + w23**2 * (w12 + w13) + + 3 * w12 * w13 * w23 + ) + ) + assert np.isclose(K, test_data) + + def test_kemeny_constant_selfloop(self): + G = nx.Graph() + w11 = 1 + w12 = 2 + w13 = 3 + w23 = 4 + G.add_edge(1, 1, weight=w11) + G.add_edge(1, 2, weight=w12) + G.add_edge(1, 3, weight=w13) + G.add_edge(2, 3, weight=w23) + K = nx.kemeny_constant(G, weight="weight") + test_data = ( + (2 * w11 + 3 * w12 + 3 * w13) + * (w12 + w23) + * (w13 + w23) + / ( + (w12 * w13 + w12 * w23 + w13 * w23) + * (w11 + 2 * w12 + 2 * w13 + 2 * w23) + ) + ) + assert np.isclose(K, test_data) + + def test_kemeny_constant_complete_bipartite_graph(self): + # Theorem 1 in https://www.sciencedirect.com/science/article/pii/S0166218X20302912 + n1 = 5 + n2 = 4 + G = nx.complete_bipartite_graph(n1, n2) + K = nx.kemeny_constant(G) + assert np.isclose(K, n1 + n2 - 3 / 2) + + def test_kemeny_constant_path_graph(self): + # Theorem 2 in https://www.sciencedirect.com/science/article/pii/S0166218X20302912 + n = 10 + G = nx.path_graph(n) + K = nx.kemeny_constant(G) + assert np.isclose(K, n**2 / 3 - 2 * n / 3 + 1 / 2) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_distance_regular.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_distance_regular.py new file mode 100644 index 0000000000000000000000000000000000000000..545fb6dee6a915230971cf4b5a141e47adc2cc15 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_distance_regular.py @@ -0,0 +1,85 @@ +import pytest + +import networkx as nx +from networkx import is_strongly_regular + + +@pytest.mark.parametrize( + "f", (nx.is_distance_regular, nx.intersection_array, nx.is_strongly_regular) +) +@pytest.mark.parametrize("graph_constructor", (nx.DiGraph, nx.MultiGraph)) +def test_raises_on_directed_and_multigraphs(f, graph_constructor): + G = graph_constructor([(0, 1), (1, 2)]) + with pytest.raises(nx.NetworkXNotImplemented): + f(G) + + +class TestDistanceRegular: + def test_is_distance_regular(self): + assert nx.is_distance_regular(nx.icosahedral_graph()) + assert nx.is_distance_regular(nx.petersen_graph()) + assert nx.is_distance_regular(nx.cubical_graph()) + assert nx.is_distance_regular(nx.complete_bipartite_graph(3, 3)) + assert nx.is_distance_regular(nx.tetrahedral_graph()) + assert nx.is_distance_regular(nx.dodecahedral_graph()) + assert nx.is_distance_regular(nx.pappus_graph()) + assert nx.is_distance_regular(nx.heawood_graph()) + assert nx.is_distance_regular(nx.cycle_graph(3)) + # no distance regular + assert not nx.is_distance_regular(nx.path_graph(4)) + + def test_not_connected(self): + G = nx.cycle_graph(4) + nx.add_cycle(G, [5, 6, 7]) + assert not nx.is_distance_regular(G) + + def test_global_parameters(self): + b, c = nx.intersection_array(nx.cycle_graph(5)) + g = nx.global_parameters(b, c) + assert list(g) == [(0, 0, 2), (1, 0, 1), (1, 1, 0)] + b, c = nx.intersection_array(nx.cycle_graph(3)) + g = nx.global_parameters(b, c) + assert list(g) == [(0, 0, 2), (1, 1, 0)] + + def test_intersection_array(self): + b, c = nx.intersection_array(nx.cycle_graph(5)) + assert b == [2, 1] + assert c == [1, 1] + b, c = nx.intersection_array(nx.dodecahedral_graph()) + assert b == [3, 2, 1, 1, 1] + assert c == [1, 1, 1, 2, 3] + b, c = nx.intersection_array(nx.icosahedral_graph()) + assert b == [5, 2, 1] + assert c == [1, 2, 5] + + +@pytest.mark.parametrize("f", (nx.is_distance_regular, nx.is_strongly_regular)) +def test_empty_graph_raises(f): + G = nx.Graph() + with pytest.raises(nx.NetworkXPointlessConcept, match="Graph has no nodes"): + f(G) + + +class TestStronglyRegular: + """Unit tests for the :func:`~networkx.is_strongly_regular` + function. + + """ + + def test_cycle_graph(self): + """Tests that the cycle graph on five vertices is strongly + regular. + + """ + G = nx.cycle_graph(5) + assert is_strongly_regular(G) + + def test_petersen_graph(self): + """Tests that the Petersen graph is strongly regular.""" + G = nx.petersen_graph() + assert is_strongly_regular(G) + + def test_path_graph(self): + """Tests that the path graph is not strongly regular.""" + G = nx.path_graph(4) + assert not is_strongly_regular(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dominance.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dominance.py new file mode 100644 index 0000000000000000000000000000000000000000..9b804c2f6eaafd3fb9a3dba556d43729ea0db70a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dominance.py @@ -0,0 +1,286 @@ +import pytest + +import networkx as nx + + +class TestImmediateDominators: + def test_exceptions(self): + G = nx.Graph() + G.add_node(0) + pytest.raises(nx.NetworkXNotImplemented, nx.immediate_dominators, G, 0) + G = nx.MultiGraph(G) + pytest.raises(nx.NetworkXNotImplemented, nx.immediate_dominators, G, 0) + G = nx.DiGraph([[0, 0]]) + pytest.raises(nx.NetworkXError, nx.immediate_dominators, G, 1) + + def test_singleton(self): + G = nx.DiGraph() + G.add_node(0) + assert nx.immediate_dominators(G, 0) == {0: 0} + G.add_edge(0, 0) + assert nx.immediate_dominators(G, 0) == {0: 0} + + def test_path(self): + n = 5 + G = nx.path_graph(n, create_using=nx.DiGraph()) + assert nx.immediate_dominators(G, 0) == {i: max(i - 1, 0) for i in range(n)} + + def test_cycle(self): + n = 5 + G = nx.cycle_graph(n, create_using=nx.DiGraph()) + assert nx.immediate_dominators(G, 0) == {i: max(i - 1, 0) for i in range(n)} + + def test_unreachable(self): + n = 5 + assert n > 1 + G = nx.path_graph(n, create_using=nx.DiGraph()) + assert nx.immediate_dominators(G, n // 2) == { + i: max(i - 1, n // 2) for i in range(n // 2, n) + } + + def test_irreducible1(self): + """ + Graph taken from figure 2 of "A simple, fast dominance algorithm." (2006). + https://hdl.handle.net/1911/96345 + """ + edges = [(1, 2), (2, 1), (3, 2), (4, 1), (5, 3), (5, 4)] + G = nx.DiGraph(edges) + assert nx.immediate_dominators(G, 5) == {i: 5 for i in range(1, 6)} + + def test_irreducible2(self): + """ + Graph taken from figure 4 of "A simple, fast dominance algorithm." (2006). + https://hdl.handle.net/1911/96345 + """ + + edges = [(1, 2), (2, 1), (2, 3), (3, 2), (4, 2), (4, 3), (5, 1), (6, 4), (6, 5)] + G = nx.DiGraph(edges) + result = nx.immediate_dominators(G, 6) + assert result == {i: 6 for i in range(1, 7)} + + def test_domrel_png(self): + # Graph taken from https://commons.wikipedia.org/wiki/File:Domrel.png + edges = [(1, 2), (2, 3), (2, 4), (2, 6), (3, 5), (4, 5), (5, 2)] + G = nx.DiGraph(edges) + result = nx.immediate_dominators(G, 1) + assert result == {1: 1, 2: 1, 3: 2, 4: 2, 5: 2, 6: 2} + # Test postdominance. + result = nx.immediate_dominators(G.reverse(copy=False), 6) + assert result == {1: 2, 2: 6, 3: 5, 4: 5, 5: 2, 6: 6} + + def test_boost_example(self): + # Graph taken from Figure 1 of + # http://www.boost.org/doc/libs/1_56_0/libs/graph/doc/lengauer_tarjan_dominator.htm + edges = [(0, 1), (1, 2), (1, 3), (2, 7), (3, 4), (4, 5), (4, 6), (5, 7), (6, 4)] + G = nx.DiGraph(edges) + result = nx.immediate_dominators(G, 0) + assert result == {0: 0, 1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 1} + # Test postdominance. + result = nx.immediate_dominators(G.reverse(copy=False), 7) + assert result == {0: 1, 1: 7, 2: 7, 3: 4, 4: 5, 5: 7, 6: 4, 7: 7} + + +class TestDominanceFrontiers: + def test_exceptions(self): + G = nx.Graph() + G.add_node(0) + pytest.raises(nx.NetworkXNotImplemented, nx.dominance_frontiers, G, 0) + G = nx.MultiGraph(G) + pytest.raises(nx.NetworkXNotImplemented, nx.dominance_frontiers, G, 0) + G = nx.DiGraph([[0, 0]]) + pytest.raises(nx.NetworkXError, nx.dominance_frontiers, G, 1) + + def test_singleton(self): + G = nx.DiGraph() + G.add_node(0) + assert nx.dominance_frontiers(G, 0) == {0: set()} + G.add_edge(0, 0) + assert nx.dominance_frontiers(G, 0) == {0: set()} + + def test_path(self): + n = 5 + G = nx.path_graph(n, create_using=nx.DiGraph()) + assert nx.dominance_frontiers(G, 0) == {i: set() for i in range(n)} + + def test_cycle(self): + n = 5 + G = nx.cycle_graph(n, create_using=nx.DiGraph()) + assert nx.dominance_frontiers(G, 0) == {i: set() for i in range(n)} + + def test_unreachable(self): + n = 5 + assert n > 1 + G = nx.path_graph(n, create_using=nx.DiGraph()) + assert nx.dominance_frontiers(G, n // 2) == {i: set() for i in range(n // 2, n)} + + def test_irreducible1(self): + """ + Graph taken from figure 2 of "A simple, fast dominance algorithm." (2006). + https://hdl.handle.net/1911/96345 + """ + edges = [(1, 2), (2, 1), (3, 2), (4, 1), (5, 3), (5, 4)] + G = nx.DiGraph(edges) + assert dict(nx.dominance_frontiers(G, 5).items()) == { + 1: {2}, + 2: {1}, + 3: {2}, + 4: {1}, + 5: set(), + } + + def test_irreducible2(self): + """ + Graph taken from figure 4 of "A simple, fast dominance algorithm." (2006). + https://hdl.handle.net/1911/96345 + """ + edges = [(1, 2), (2, 1), (2, 3), (3, 2), (4, 2), (4, 3), (5, 1), (6, 4), (6, 5)] + G = nx.DiGraph(edges) + assert nx.dominance_frontiers(G, 6) == { + 1: {2}, + 2: {1, 3}, + 3: {2}, + 4: {2, 3}, + 5: {1}, + 6: set(), + } + + def test_domrel_png(self): + # Graph taken from https://commons.wikipedia.org/wiki/File:Domrel.png + edges = [(1, 2), (2, 3), (2, 4), (2, 6), (3, 5), (4, 5), (5, 2)] + G = nx.DiGraph(edges) + assert nx.dominance_frontiers(G, 1) == { + 1: set(), + 2: {2}, + 3: {5}, + 4: {5}, + 5: {2}, + 6: set(), + } + # Test postdominance. + result = nx.dominance_frontiers(G.reverse(copy=False), 6) + assert result == {1: set(), 2: {2}, 3: {2}, 4: {2}, 5: {2}, 6: set()} + + def test_boost_example(self): + # Graph taken from Figure 1 of + # http://www.boost.org/doc/libs/1_56_0/libs/graph/doc/lengauer_tarjan_dominator.htm + edges = [(0, 1), (1, 2), (1, 3), (2, 7), (3, 4), (4, 5), (4, 6), (5, 7), (6, 4)] + G = nx.DiGraph(edges) + assert nx.dominance_frontiers(G, 0) == { + 0: set(), + 1: set(), + 2: {7}, + 3: {7}, + 4: {4, 7}, + 5: {7}, + 6: {4}, + 7: set(), + } + # Test postdominance. + result = nx.dominance_frontiers(G.reverse(copy=False), 7) + expected = { + 0: set(), + 1: set(), + 2: {1}, + 3: {1}, + 4: {1, 4}, + 5: {1}, + 6: {4}, + 7: set(), + } + assert result == expected + + def test_discard_issue(self): + # https://github.com/networkx/networkx/issues/2071 + g = nx.DiGraph() + g.add_edges_from( + [ + ("b0", "b1"), + ("b1", "b2"), + ("b2", "b3"), + ("b3", "b1"), + ("b1", "b5"), + ("b5", "b6"), + ("b5", "b8"), + ("b6", "b7"), + ("b8", "b7"), + ("b7", "b3"), + ("b3", "b4"), + ] + ) + df = nx.dominance_frontiers(g, "b0") + assert df == { + "b4": set(), + "b5": {"b3"}, + "b6": {"b7"}, + "b7": {"b3"}, + "b0": set(), + "b1": {"b1"}, + "b2": {"b3"}, + "b3": {"b1"}, + "b8": {"b7"}, + } + + def test_loop(self): + g = nx.DiGraph() + g.add_edges_from([("a", "b"), ("b", "c"), ("b", "a")]) + df = nx.dominance_frontiers(g, "a") + assert df == {"a": set(), "b": set(), "c": set()} + + def test_missing_immediate_doms(self): + # see https://github.com/networkx/networkx/issues/2070 + g = nx.DiGraph() + edges = [ + ("entry_1", "b1"), + ("b1", "b2"), + ("b2", "b3"), + ("b3", "exit"), + ("entry_2", "b3"), + ] + + # entry_1 + # | + # b1 + # | + # b2 entry_2 + # | / + # b3 + # | + # exit + + g.add_edges_from(edges) + # formerly raised KeyError on entry_2 when parsing b3 + # because entry_2 does not have immediate doms (no path) + nx.dominance_frontiers(g, "entry_1") + + def test_loops_larger(self): + # from + # http://ecee.colorado.edu/~waite/Darmstadt/motion.html + g = nx.DiGraph() + edges = [ + ("entry", "exit"), + ("entry", "1"), + ("1", "2"), + ("2", "3"), + ("3", "4"), + ("4", "5"), + ("5", "6"), + ("6", "exit"), + ("6", "2"), + ("5", "3"), + ("4", "4"), + ] + + g.add_edges_from(edges) + df = nx.dominance_frontiers(g, "entry") + answer = { + "entry": set(), + "1": {"exit"}, + "2": {"exit", "2"}, + "3": {"exit", "3", "2"}, + "4": {"exit", "4", "3", "2"}, + "5": {"exit", "3", "2"}, + "6": {"exit", "2"}, + "exit": set(), + } + for n in df: + assert set(df[n]) == set(answer[n]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dominating.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dominating.py new file mode 100644 index 0000000000000000000000000000000000000000..b945c7386374d7076ee08db67631cc7d845e6762 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_dominating.py @@ -0,0 +1,46 @@ +import pytest + +import networkx as nx + + +def test_dominating_set(): + G = nx.gnp_random_graph(100, 0.1) + D = nx.dominating_set(G) + assert nx.is_dominating_set(G, D) + D = nx.dominating_set(G, start_with=0) + assert nx.is_dominating_set(G, D) + + +def test_complete(): + """In complete graphs each node is a dominating set. + Thus the dominating set has to be of cardinality 1. + """ + K4 = nx.complete_graph(4) + assert len(nx.dominating_set(K4)) == 1 + K5 = nx.complete_graph(5) + assert len(nx.dominating_set(K5)) == 1 + + +def test_raise_dominating_set(): + with pytest.raises(nx.NetworkXError): + G = nx.path_graph(4) + D = nx.dominating_set(G, start_with=10) + + +def test_is_dominating_set(): + G = nx.path_graph(4) + d = {1, 3} + assert nx.is_dominating_set(G, d) + d = {0, 2} + assert nx.is_dominating_set(G, d) + d = {1} + assert not nx.is_dominating_set(G, d) + + +def test_wikipedia_is_dominating_set(): + """Example from https://en.wikipedia.org/wiki/Dominating_set""" + G = nx.cycle_graph(4) + G.add_edges_from([(0, 4), (1, 4), (2, 5)]) + assert nx.is_dominating_set(G, {4, 3, 5}) + assert nx.is_dominating_set(G, {0, 2}) + assert nx.is_dominating_set(G, {1, 2}) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_efficiency.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_efficiency.py new file mode 100644 index 0000000000000000000000000000000000000000..9a2e7d0463b3a0abeb8395df4ab870456faa64b7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_efficiency.py @@ -0,0 +1,58 @@ +"""Unit tests for the :mod:`networkx.algorithms.efficiency` module.""" + +import networkx as nx + + +class TestEfficiency: + def setup_method(self): + # G1 is a disconnected graph + self.G1 = nx.Graph() + self.G1.add_nodes_from([1, 2, 3]) + # G2 is a cycle graph + self.G2 = nx.cycle_graph(4) + # G3 is the triangle graph with one additional edge + self.G3 = nx.lollipop_graph(3, 1) + + def test_efficiency_disconnected_nodes(self): + """ + When nodes are disconnected, efficiency is 0 + """ + assert nx.efficiency(self.G1, 1, 2) == 0 + + def test_local_efficiency_disconnected_graph(self): + """ + In a disconnected graph the efficiency is 0 + """ + assert nx.local_efficiency(self.G1) == 0 + + def test_efficiency(self): + assert nx.efficiency(self.G2, 0, 1) == 1 + assert nx.efficiency(self.G2, 0, 2) == 1 / 2 + + def test_global_efficiency(self): + assert nx.global_efficiency(self.G2) == 5 / 6 + + def test_global_efficiency_complete_graph(self): + """ + Tests that the average global efficiency of the complete graph is one. + """ + for n in range(2, 10): + G = nx.complete_graph(n) + assert nx.global_efficiency(G) == 1 + + def test_local_efficiency_complete_graph(self): + """ + Test that the local efficiency for a complete graph with at least 3 + nodes should be one. For a graph with only 2 nodes, the induced + subgraph has no edges. + """ + for n in range(3, 10): + G = nx.complete_graph(n) + assert nx.local_efficiency(G) == 1 + + def test_using_ego_graph(self): + """ + Test that the ego graph is used when computing local efficiency. + For more information, see GitHub issue #2710. + """ + assert nx.local_efficiency(self.G3) == 7 / 12 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_euler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_euler.py new file mode 100644 index 0000000000000000000000000000000000000000..b5871f09b5a309df2bb00d9945ca9cf662e6f656 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_euler.py @@ -0,0 +1,314 @@ +import collections + +import pytest + +import networkx as nx + + +@pytest.mark.parametrize("f", (nx.is_eulerian, nx.is_semieulerian)) +def test_empty_graph_raises(f): + G = nx.Graph() + with pytest.raises(nx.NetworkXPointlessConcept, match="Connectivity is undefined"): + f(G) + + +class TestIsEulerian: + def test_is_eulerian(self): + assert nx.is_eulerian(nx.complete_graph(5)) + assert nx.is_eulerian(nx.complete_graph(7)) + assert nx.is_eulerian(nx.hypercube_graph(4)) + assert nx.is_eulerian(nx.hypercube_graph(6)) + + assert not nx.is_eulerian(nx.complete_graph(4)) + assert not nx.is_eulerian(nx.complete_graph(6)) + assert not nx.is_eulerian(nx.hypercube_graph(3)) + assert not nx.is_eulerian(nx.hypercube_graph(5)) + + assert not nx.is_eulerian(nx.petersen_graph()) + assert not nx.is_eulerian(nx.path_graph(4)) + + def test_is_eulerian2(self): + # not connected + G = nx.Graph() + G.add_nodes_from([1, 2, 3]) + assert not nx.is_eulerian(G) + # not strongly connected + G = nx.DiGraph() + G.add_nodes_from([1, 2, 3]) + assert not nx.is_eulerian(G) + G = nx.MultiDiGraph() + G.add_edge(1, 2) + G.add_edge(2, 3) + G.add_edge(2, 3) + G.add_edge(3, 1) + assert not nx.is_eulerian(G) + + +class TestEulerianCircuit: + def test_eulerian_circuit_cycle(self): + G = nx.cycle_graph(4) + + edges = list(nx.eulerian_circuit(G, source=0)) + nodes = [u for u, v in edges] + assert nodes == [0, 3, 2, 1] + assert edges == [(0, 3), (3, 2), (2, 1), (1, 0)] + + edges = list(nx.eulerian_circuit(G, source=1)) + nodes = [u for u, v in edges] + assert nodes == [1, 2, 3, 0] + assert edges == [(1, 2), (2, 3), (3, 0), (0, 1)] + + G = nx.complete_graph(3) + + edges = list(nx.eulerian_circuit(G, source=0)) + nodes = [u for u, v in edges] + assert nodes == [0, 2, 1] + assert edges == [(0, 2), (2, 1), (1, 0)] + + edges = list(nx.eulerian_circuit(G, source=1)) + nodes = [u for u, v in edges] + assert nodes == [1, 2, 0] + assert edges == [(1, 2), (2, 0), (0, 1)] + + def test_eulerian_circuit_digraph(self): + G = nx.DiGraph() + nx.add_cycle(G, [0, 1, 2, 3]) + + edges = list(nx.eulerian_circuit(G, source=0)) + nodes = [u for u, v in edges] + assert nodes == [0, 1, 2, 3] + assert edges == [(0, 1), (1, 2), (2, 3), (3, 0)] + + edges = list(nx.eulerian_circuit(G, source=1)) + nodes = [u for u, v in edges] + assert nodes == [1, 2, 3, 0] + assert edges == [(1, 2), (2, 3), (3, 0), (0, 1)] + + def test_multigraph(self): + G = nx.MultiGraph() + nx.add_cycle(G, [0, 1, 2, 3]) + G.add_edge(1, 2) + G.add_edge(1, 2) + edges = list(nx.eulerian_circuit(G, source=0)) + nodes = [u for u, v in edges] + assert nodes == [0, 3, 2, 1, 2, 1] + assert edges == [(0, 3), (3, 2), (2, 1), (1, 2), (2, 1), (1, 0)] + + def test_multigraph_with_keys(self): + G = nx.MultiGraph() + nx.add_cycle(G, [0, 1, 2, 3]) + G.add_edge(1, 2) + G.add_edge(1, 2) + edges = list(nx.eulerian_circuit(G, source=0, keys=True)) + nodes = [u for u, v, k in edges] + assert nodes == [0, 3, 2, 1, 2, 1] + assert edges[:2] == [(0, 3, 0), (3, 2, 0)] + assert collections.Counter(edges[2:5]) == collections.Counter( + [(2, 1, 0), (1, 2, 1), (2, 1, 2)] + ) + assert edges[5:] == [(1, 0, 0)] + + def test_not_eulerian(self): + with pytest.raises(nx.NetworkXError): + f = list(nx.eulerian_circuit(nx.complete_graph(4))) + + +class TestIsSemiEulerian: + def test_is_semieulerian(self): + # Test graphs with Eulerian paths but no cycles return True. + assert nx.is_semieulerian(nx.path_graph(4)) + G = nx.path_graph(6, create_using=nx.DiGraph) + assert nx.is_semieulerian(G) + + # Test graphs with Eulerian cycles return False. + assert not nx.is_semieulerian(nx.complete_graph(5)) + assert not nx.is_semieulerian(nx.complete_graph(7)) + assert not nx.is_semieulerian(nx.hypercube_graph(4)) + assert not nx.is_semieulerian(nx.hypercube_graph(6)) + + +class TestHasEulerianPath: + def test_has_eulerian_path_cyclic(self): + # Test graphs with Eulerian cycles return True. + assert nx.has_eulerian_path(nx.complete_graph(5)) + assert nx.has_eulerian_path(nx.complete_graph(7)) + assert nx.has_eulerian_path(nx.hypercube_graph(4)) + assert nx.has_eulerian_path(nx.hypercube_graph(6)) + + def test_has_eulerian_path_non_cyclic(self): + # Test graphs with Eulerian paths but no cycles return True. + assert nx.has_eulerian_path(nx.path_graph(4)) + G = nx.path_graph(6, create_using=nx.DiGraph) + assert nx.has_eulerian_path(G) + + def test_has_eulerian_path_directed_graph(self): + # Test directed graphs and returns False + G = nx.DiGraph() + G.add_edges_from([(0, 1), (1, 2), (0, 2)]) + assert not nx.has_eulerian_path(G) + + # Test directed graphs without isolated node returns True + G = nx.DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 0)]) + assert nx.has_eulerian_path(G) + + # Test directed graphs with isolated node returns False + G.add_node(3) + assert not nx.has_eulerian_path(G) + + @pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph())) + def test_has_eulerian_path_not_weakly_connected(self, G): + G.add_edges_from([(0, 1), (2, 3), (3, 2)]) + assert not nx.has_eulerian_path(G) + + @pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph())) + def test_has_eulerian_path_unbalancedins_more_than_one(self, G): + G.add_edges_from([(0, 1), (2, 3)]) + assert not nx.has_eulerian_path(G) + + +class TestFindPathStart: + def testfind_path_start(self): + find_path_start = nx.algorithms.euler._find_path_start + # Test digraphs return correct starting node. + G = nx.path_graph(6, create_using=nx.DiGraph) + assert find_path_start(G) == 0 + edges = [(0, 1), (1, 2), (2, 0), (4, 0)] + assert find_path_start(nx.DiGraph(edges)) == 4 + + # Test graph with no Eulerian path return None. + edges = [(0, 1), (1, 2), (2, 3), (2, 4)] + assert find_path_start(nx.DiGraph(edges)) is None + + +class TestEulerianPath: + def test_eulerian_path(self): + x = [(4, 0), (0, 1), (1, 2), (2, 0)] + for e1, e2 in zip(x, nx.eulerian_path(nx.DiGraph(x))): + assert e1 == e2 + + def test_eulerian_path_straight_link(self): + G = nx.DiGraph() + result = [(1, 2), (2, 3), (3, 4), (4, 5)] + G.add_edges_from(result) + assert result == list(nx.eulerian_path(G)) + assert result == list(nx.eulerian_path(G, source=1)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=3)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=4)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=5)) + + def test_eulerian_path_multigraph(self): + G = nx.MultiDiGraph() + result = [(2, 1), (1, 2), (2, 1), (1, 2), (2, 3), (3, 4), (4, 3)] + G.add_edges_from(result) + assert result == list(nx.eulerian_path(G)) + assert result == list(nx.eulerian_path(G, source=2)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=3)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=4)) + + def test_eulerian_path_eulerian_circuit(self): + G = nx.DiGraph() + result = [(1, 2), (2, 3), (3, 4), (4, 1)] + result2 = [(2, 3), (3, 4), (4, 1), (1, 2)] + result3 = [(3, 4), (4, 1), (1, 2), (2, 3)] + G.add_edges_from(result) + assert result == list(nx.eulerian_path(G)) + assert result == list(nx.eulerian_path(G, source=1)) + assert result2 == list(nx.eulerian_path(G, source=2)) + assert result3 == list(nx.eulerian_path(G, source=3)) + + def test_eulerian_path_undirected(self): + G = nx.Graph() + result = [(1, 2), (2, 3), (3, 4), (4, 5)] + result2 = [(5, 4), (4, 3), (3, 2), (2, 1)] + G.add_edges_from(result) + assert list(nx.eulerian_path(G)) in (result, result2) + assert result == list(nx.eulerian_path(G, source=1)) + assert result2 == list(nx.eulerian_path(G, source=5)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=3)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=2)) + + def test_eulerian_path_multigraph_undirected(self): + G = nx.MultiGraph() + result = [(2, 1), (1, 2), (2, 1), (1, 2), (2, 3), (3, 4)] + G.add_edges_from(result) + assert result == list(nx.eulerian_path(G)) + assert result == list(nx.eulerian_path(G, source=2)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=3)) + with pytest.raises(nx.NetworkXError): + list(nx.eulerian_path(G, source=1)) + + @pytest.mark.parametrize( + ("graph_type", "result"), + ( + (nx.MultiGraph, [(0, 1, 0), (1, 0, 1)]), + (nx.MultiDiGraph, [(0, 1, 0), (1, 0, 0)]), + ), + ) + def test_eulerian_with_keys(self, graph_type, result): + G = graph_type([(0, 1), (1, 0)]) + answer = nx.eulerian_path(G, keys=True) + assert list(answer) == result + + +class TestEulerize: + def test_disconnected(self): + with pytest.raises(nx.NetworkXError): + G = nx.from_edgelist([(0, 1), (2, 3)]) + nx.eulerize(G) + + def test_null_graph(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.eulerize(nx.Graph()) + + def test_null_multigraph(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.eulerize(nx.MultiGraph()) + + def test_on_empty_graph(self): + with pytest.raises(nx.NetworkXError): + nx.eulerize(nx.empty_graph(3)) + + def test_on_eulerian(self): + G = nx.cycle_graph(3) + H = nx.eulerize(G) + assert nx.is_isomorphic(G, H) + + def test_on_eulerian_multigraph(self): + G = nx.MultiGraph(nx.cycle_graph(3)) + G.add_edge(0, 1) + H = nx.eulerize(G) + assert nx.is_eulerian(H) + + def test_on_complete_graph(self): + G = nx.complete_graph(4) + assert nx.is_eulerian(nx.eulerize(G)) + assert nx.is_eulerian(nx.eulerize(nx.MultiGraph(G))) + + def test_on_non_eulerian_graph(self): + G = nx.cycle_graph(18) + G.add_edge(0, 18) + G.add_edge(18, 19) + G.add_edge(17, 19) + G.add_edge(4, 20) + G.add_edge(20, 21) + G.add_edge(21, 22) + G.add_edge(22, 23) + G.add_edge(23, 24) + G.add_edge(24, 25) + G.add_edge(25, 26) + G.add_edge(26, 27) + G.add_edge(27, 28) + G.add_edge(28, 13) + assert not nx.is_eulerian(G) + G = nx.eulerize(G) + assert nx.is_eulerian(G) + assert nx.number_of_edges(G) == 39 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_graph_hashing.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_graph_hashing.py new file mode 100644 index 0000000000000000000000000000000000000000..0828069d1c3c821a0eaeae844fb6182470aadb25 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_graph_hashing.py @@ -0,0 +1,686 @@ +import pytest + +import networkx as nx +from networkx.generators import directed + +# Unit tests for the :func:`~networkx.weisfeiler_lehman_graph_hash` function + + +def test_empty_graph_hash(): + """ + empty graphs should give hashes regardless of other params + """ + G1 = nx.empty_graph() + G2 = nx.empty_graph() + + h1 = nx.weisfeiler_lehman_graph_hash(G1) + h2 = nx.weisfeiler_lehman_graph_hash(G2) + h3 = nx.weisfeiler_lehman_graph_hash(G2, edge_attr="edge_attr1") + h4 = nx.weisfeiler_lehman_graph_hash(G2, node_attr="node_attr1") + h5 = nx.weisfeiler_lehman_graph_hash( + G2, edge_attr="edge_attr1", node_attr="node_attr1" + ) + h6 = nx.weisfeiler_lehman_graph_hash(G2, iterations=10) + + assert h1 == h2 + assert h1 == h3 + assert h1 == h4 + assert h1 == h5 + assert h1 == h6 + + +def test_directed(): + """ + A directed graph with no bi-directional edges should yield different a graph hash + to the same graph taken as undirected if there are no hash collisions. + """ + r = 10 + for i in range(r): + G_directed = nx.gn_graph(10 + r, seed=100 + i) + G_undirected = nx.to_undirected(G_directed) + + h_directed = nx.weisfeiler_lehman_graph_hash(G_directed) + h_undirected = nx.weisfeiler_lehman_graph_hash(G_undirected) + + assert h_directed != h_undirected + + +def test_reversed(): + """ + A directed graph with no bi-directional edges should yield different a graph hash + to the same graph taken with edge directions reversed if there are no hash collisions. + Here we test a cycle graph which is the minimal counterexample + """ + G = nx.cycle_graph(5, create_using=nx.DiGraph) + nx.set_node_attributes(G, {n: str(n) for n in G.nodes()}, name="label") + + G_reversed = G.reverse() + + h = nx.weisfeiler_lehman_graph_hash(G, node_attr="label") + h_reversed = nx.weisfeiler_lehman_graph_hash(G_reversed, node_attr="label") + + assert h != h_reversed + + +def test_isomorphic(): + """ + graph hashes should be invariant to node-relabeling (when the output is reindexed + by the same mapping) + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=200 + i) + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g1_hash = nx.weisfeiler_lehman_graph_hash(G1) + g2_hash = nx.weisfeiler_lehman_graph_hash(G2) + + assert g1_hash == g2_hash + + +def test_isomorphic_edge_attr(): + """ + Isomorphic graphs with differing edge attributes should yield different graph + hashes if the 'edge_attr' argument is supplied and populated in the graph, + and there are no hash collisions. + The output should still be invariant to node-relabeling + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=300 + i) + + for a, b in G1.edges: + G1[a][b]["edge_attr1"] = f"{a}-{b}-1" + G1[a][b]["edge_attr2"] = f"{a}-{b}-2" + + g1_hash_with_edge_attr1 = nx.weisfeiler_lehman_graph_hash( + G1, edge_attr="edge_attr1" + ) + g1_hash_with_edge_attr2 = nx.weisfeiler_lehman_graph_hash( + G1, edge_attr="edge_attr2" + ) + g1_hash_no_edge_attr = nx.weisfeiler_lehman_graph_hash(G1, edge_attr=None) + + assert g1_hash_with_edge_attr1 != g1_hash_no_edge_attr + assert g1_hash_with_edge_attr2 != g1_hash_no_edge_attr + assert g1_hash_with_edge_attr1 != g1_hash_with_edge_attr2 + + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g2_hash_with_edge_attr1 = nx.weisfeiler_lehman_graph_hash( + G2, edge_attr="edge_attr1" + ) + g2_hash_with_edge_attr2 = nx.weisfeiler_lehman_graph_hash( + G2, edge_attr="edge_attr2" + ) + + assert g1_hash_with_edge_attr1 == g2_hash_with_edge_attr1 + assert g1_hash_with_edge_attr2 == g2_hash_with_edge_attr2 + + +def test_missing_edge_attr(): + """ + If the 'edge_attr' argument is supplied but is missing from an edge in the graph, + we should raise a KeyError + """ + G = nx.Graph() + G.add_edges_from([(1, 2, {"edge_attr1": "a"}), (1, 3, {})]) + pytest.raises(KeyError, nx.weisfeiler_lehman_graph_hash, G, edge_attr="edge_attr1") + + +def test_isomorphic_node_attr(): + """ + Isomorphic graphs with differing node attributes should yield different graph + hashes if the 'node_attr' argument is supplied and populated in the graph, and + there are no hash collisions. + The output should still be invariant to node-relabeling + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=400 + i) + + for u in G1.nodes(): + G1.nodes[u]["node_attr1"] = f"{u}-1" + G1.nodes[u]["node_attr2"] = f"{u}-2" + + g1_hash_with_node_attr1 = nx.weisfeiler_lehman_graph_hash( + G1, node_attr="node_attr1" + ) + g1_hash_with_node_attr2 = nx.weisfeiler_lehman_graph_hash( + G1, node_attr="node_attr2" + ) + g1_hash_no_node_attr = nx.weisfeiler_lehman_graph_hash(G1, node_attr=None) + + assert g1_hash_with_node_attr1 != g1_hash_no_node_attr + assert g1_hash_with_node_attr2 != g1_hash_no_node_attr + assert g1_hash_with_node_attr1 != g1_hash_with_node_attr2 + + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g2_hash_with_node_attr1 = nx.weisfeiler_lehman_graph_hash( + G2, node_attr="node_attr1" + ) + g2_hash_with_node_attr2 = nx.weisfeiler_lehman_graph_hash( + G2, node_attr="node_attr2" + ) + + assert g1_hash_with_node_attr1 == g2_hash_with_node_attr1 + assert g1_hash_with_node_attr2 == g2_hash_with_node_attr2 + + +def test_missing_node_attr(): + """ + If the 'node_attr' argument is supplied but is missing from a node in the graph, + we should raise a KeyError + """ + G = nx.Graph() + G.add_nodes_from([(1, {"node_attr1": "a"}), (2, {})]) + G.add_edges_from([(1, 2), (2, 3), (3, 1), (1, 4)]) + pytest.raises(KeyError, nx.weisfeiler_lehman_graph_hash, G, node_attr="node_attr1") + + +def test_isomorphic_edge_attr_and_node_attr(): + """ + Isomorphic graphs with differing node attributes should yield different graph + hashes if the 'node_attr' and 'edge_attr' argument is supplied and populated in + the graph, and there are no hash collisions. + The output should still be invariant to node-relabeling + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=500 + i) + + for u in G1.nodes(): + G1.nodes[u]["node_attr1"] = f"{u}-1" + G1.nodes[u]["node_attr2"] = f"{u}-2" + + for a, b in G1.edges: + G1[a][b]["edge_attr1"] = f"{a}-{b}-1" + G1[a][b]["edge_attr2"] = f"{a}-{b}-2" + + g1_hash_edge1_node1 = nx.weisfeiler_lehman_graph_hash( + G1, edge_attr="edge_attr1", node_attr="node_attr1" + ) + g1_hash_edge2_node2 = nx.weisfeiler_lehman_graph_hash( + G1, edge_attr="edge_attr2", node_attr="node_attr2" + ) + g1_hash_edge1_node2 = nx.weisfeiler_lehman_graph_hash( + G1, edge_attr="edge_attr1", node_attr="node_attr2" + ) + g1_hash_no_attr = nx.weisfeiler_lehman_graph_hash(G1) + + assert g1_hash_edge1_node1 != g1_hash_no_attr + assert g1_hash_edge2_node2 != g1_hash_no_attr + assert g1_hash_edge1_node1 != g1_hash_edge2_node2 + assert g1_hash_edge1_node2 != g1_hash_edge2_node2 + assert g1_hash_edge1_node2 != g1_hash_edge1_node1 + + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g2_hash_edge1_node1 = nx.weisfeiler_lehman_graph_hash( + G2, edge_attr="edge_attr1", node_attr="node_attr1" + ) + g2_hash_edge2_node2 = nx.weisfeiler_lehman_graph_hash( + G2, edge_attr="edge_attr2", node_attr="node_attr2" + ) + + assert g1_hash_edge1_node1 == g2_hash_edge1_node1 + assert g1_hash_edge2_node2 == g2_hash_edge2_node2 + + +def test_digest_size(): + """ + The hash string lengths should be as expected for a variety of graphs and + digest sizes + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G = nx.erdos_renyi_graph(n, p * i, seed=1000 + i) + + h16 = nx.weisfeiler_lehman_graph_hash(G) + h32 = nx.weisfeiler_lehman_graph_hash(G, digest_size=32) + + assert h16 != h32 + assert len(h16) == 16 * 2 + assert len(h32) == 32 * 2 + + +# Unit tests for the :func:`~networkx.weisfeiler_lehman_hash_subgraphs` function + + +def is_subiteration(a, b): + """ + returns True if that each hash sequence in 'a' is a prefix for + the corresponding sequence indexed by the same node in 'b'. + """ + return all(b[node][: len(hashes)] == hashes for node, hashes in a.items()) + + +def hexdigest_sizes_correct(a, digest_size): + """ + returns True if all hex digest sizes are the expected length in a node:subgraph-hashes + dictionary. Hex digest string length == 2 * bytes digest length since each pair of hex + digits encodes 1 byte (https://docs.python.org/3/library/hashlib.html) + """ + hexdigest_size = digest_size * 2 + list_digest_sizes_correct = lambda l: all(len(x) == hexdigest_size for x in l) + return all(list_digest_sizes_correct(hashes) for hashes in a.values()) + + +def test_empty_graph_subgraph_hash(): + """ " + empty graphs should give empty dict subgraph hashes regardless of other params + """ + G = nx.empty_graph() + + subgraph_hashes1 = nx.weisfeiler_lehman_subgraph_hashes(G) + subgraph_hashes2 = nx.weisfeiler_lehman_subgraph_hashes(G, edge_attr="edge_attr") + subgraph_hashes3 = nx.weisfeiler_lehman_subgraph_hashes(G, node_attr="edge_attr") + subgraph_hashes4 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=2) + subgraph_hashes5 = nx.weisfeiler_lehman_subgraph_hashes(G, digest_size=64) + + assert subgraph_hashes1 == {} + assert subgraph_hashes2 == {} + assert subgraph_hashes3 == {} + assert subgraph_hashes4 == {} + assert subgraph_hashes5 == {} + + +def test_directed_subgraph_hash(): + """ + A directed graph with no bi-directional edges should yield different subgraph hashes + to the same graph taken as undirected, if all hashes don't collide. + """ + r = 10 + for i in range(r): + G_directed = nx.gn_graph(10 + r, seed=100 + i) + G_undirected = nx.to_undirected(G_directed) + + directed_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G_directed) + undirected_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G_undirected) + + assert directed_subgraph_hashes != undirected_subgraph_hashes + + +def test_reversed_subgraph_hash(): + """ + A directed graph with no bi-directional edges should yield different subgraph hashes + to the same graph taken with edge directions reversed if there are no hash collisions. + Here we test a cycle graph which is the minimal counterexample + """ + G = nx.cycle_graph(5, create_using=nx.DiGraph) + nx.set_node_attributes(G, {n: str(n) for n in G.nodes()}, name="label") + + G_reversed = G.reverse() + + h = nx.weisfeiler_lehman_subgraph_hashes(G, node_attr="label") + h_reversed = nx.weisfeiler_lehman_subgraph_hashes(G_reversed, node_attr="label") + + assert h != h_reversed + + +def test_isomorphic_subgraph_hash(): + """ + the subgraph hashes should be invariant to node-relabeling when the output is reindexed + by the same mapping and all hashes don't collide. + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=200 + i) + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g1_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G1) + g2_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G2) + + assert g1_subgraph_hashes == {-1 * k: v for k, v in g2_subgraph_hashes.items()} + + +def test_isomorphic_edge_attr_subgraph_hash(): + """ + Isomorphic graphs with differing edge attributes should yield different subgraph + hashes if the 'edge_attr' argument is supplied and populated in the graph, and + all hashes don't collide. + The output should still be invariant to node-relabeling + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=300 + i) + + for a, b in G1.edges: + G1[a][b]["edge_attr1"] = f"{a}-{b}-1" + G1[a][b]["edge_attr2"] = f"{a}-{b}-2" + + g1_hash_with_edge_attr1 = nx.weisfeiler_lehman_subgraph_hashes( + G1, edge_attr="edge_attr1" + ) + g1_hash_with_edge_attr2 = nx.weisfeiler_lehman_subgraph_hashes( + G1, edge_attr="edge_attr2" + ) + g1_hash_no_edge_attr = nx.weisfeiler_lehman_subgraph_hashes(G1, edge_attr=None) + + assert g1_hash_with_edge_attr1 != g1_hash_no_edge_attr + assert g1_hash_with_edge_attr2 != g1_hash_no_edge_attr + assert g1_hash_with_edge_attr1 != g1_hash_with_edge_attr2 + + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g2_hash_with_edge_attr1 = nx.weisfeiler_lehman_subgraph_hashes( + G2, edge_attr="edge_attr1" + ) + g2_hash_with_edge_attr2 = nx.weisfeiler_lehman_subgraph_hashes( + G2, edge_attr="edge_attr2" + ) + + assert g1_hash_with_edge_attr1 == { + -1 * k: v for k, v in g2_hash_with_edge_attr1.items() + } + assert g1_hash_with_edge_attr2 == { + -1 * k: v for k, v in g2_hash_with_edge_attr2.items() + } + + +def test_missing_edge_attr_subgraph_hash(): + """ + If the 'edge_attr' argument is supplied but is missing from an edge in the graph, + we should raise a KeyError + """ + G = nx.Graph() + G.add_edges_from([(1, 2, {"edge_attr1": "a"}), (1, 3, {})]) + pytest.raises( + KeyError, nx.weisfeiler_lehman_subgraph_hashes, G, edge_attr="edge_attr1" + ) + + +def test_isomorphic_node_attr_subgraph_hash(): + """ + Isomorphic graphs with differing node attributes should yield different subgraph + hashes if the 'node_attr' argument is supplied and populated in the graph, and + all hashes don't collide. + The output should still be invariant to node-relabeling + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=400 + i) + + for u in G1.nodes(): + G1.nodes[u]["node_attr1"] = f"{u}-1" + G1.nodes[u]["node_attr2"] = f"{u}-2" + + g1_hash_with_node_attr1 = nx.weisfeiler_lehman_subgraph_hashes( + G1, node_attr="node_attr1" + ) + g1_hash_with_node_attr2 = nx.weisfeiler_lehman_subgraph_hashes( + G1, node_attr="node_attr2" + ) + g1_hash_no_node_attr = nx.weisfeiler_lehman_subgraph_hashes(G1, node_attr=None) + + assert g1_hash_with_node_attr1 != g1_hash_no_node_attr + assert g1_hash_with_node_attr2 != g1_hash_no_node_attr + assert g1_hash_with_node_attr1 != g1_hash_with_node_attr2 + + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g2_hash_with_node_attr1 = nx.weisfeiler_lehman_subgraph_hashes( + G2, node_attr="node_attr1" + ) + g2_hash_with_node_attr2 = nx.weisfeiler_lehman_subgraph_hashes( + G2, node_attr="node_attr2" + ) + + assert g1_hash_with_node_attr1 == { + -1 * k: v for k, v in g2_hash_with_node_attr1.items() + } + assert g1_hash_with_node_attr2 == { + -1 * k: v for k, v in g2_hash_with_node_attr2.items() + } + + +def test_missing_node_attr_subgraph_hash(): + """ + If the 'node_attr' argument is supplied but is missing from a node in the graph, + we should raise a KeyError + """ + G = nx.Graph() + G.add_nodes_from([(1, {"node_attr1": "a"}), (2, {})]) + G.add_edges_from([(1, 2), (2, 3), (3, 1), (1, 4)]) + pytest.raises( + KeyError, nx.weisfeiler_lehman_subgraph_hashes, G, node_attr="node_attr1" + ) + + +def test_isomorphic_edge_attr_and_node_attr_subgraph_hash(): + """ + Isomorphic graphs with differing node attributes should yield different subgraph + hashes if the 'node_attr' and 'edge_attr' argument is supplied and populated in + the graph, and all hashes don't collide + The output should still be invariant to node-relabeling + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G1 = nx.erdos_renyi_graph(n, p * i, seed=500 + i) + + for u in G1.nodes(): + G1.nodes[u]["node_attr1"] = f"{u}-1" + G1.nodes[u]["node_attr2"] = f"{u}-2" + + for a, b in G1.edges: + G1[a][b]["edge_attr1"] = f"{a}-{b}-1" + G1[a][b]["edge_attr2"] = f"{a}-{b}-2" + + g1_hash_edge1_node1 = nx.weisfeiler_lehman_subgraph_hashes( + G1, edge_attr="edge_attr1", node_attr="node_attr1" + ) + g1_hash_edge2_node2 = nx.weisfeiler_lehman_subgraph_hashes( + G1, edge_attr="edge_attr2", node_attr="node_attr2" + ) + g1_hash_edge1_node2 = nx.weisfeiler_lehman_subgraph_hashes( + G1, edge_attr="edge_attr1", node_attr="node_attr2" + ) + g1_hash_no_attr = nx.weisfeiler_lehman_subgraph_hashes(G1) + + assert g1_hash_edge1_node1 != g1_hash_no_attr + assert g1_hash_edge2_node2 != g1_hash_no_attr + assert g1_hash_edge1_node1 != g1_hash_edge2_node2 + assert g1_hash_edge1_node2 != g1_hash_edge2_node2 + assert g1_hash_edge1_node2 != g1_hash_edge1_node1 + + G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()}) + + g2_hash_edge1_node1 = nx.weisfeiler_lehman_subgraph_hashes( + G2, edge_attr="edge_attr1", node_attr="node_attr1" + ) + g2_hash_edge2_node2 = nx.weisfeiler_lehman_subgraph_hashes( + G2, edge_attr="edge_attr2", node_attr="node_attr2" + ) + + assert g1_hash_edge1_node1 == { + -1 * k: v for k, v in g2_hash_edge1_node1.items() + } + assert g1_hash_edge2_node2 == { + -1 * k: v for k, v in g2_hash_edge2_node2.items() + } + + +def test_iteration_depth(): + """ + All nodes should have the correct number of subgraph hashes in the output when + using degree as initial node labels + Subsequent iteration depths for the same graph should be additive for each node + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G = nx.erdos_renyi_graph(n, p * i, seed=600 + i) + + depth3 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=3) + depth4 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=4) + depth5 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=5) + + assert all(len(hashes) == 3 for hashes in depth3.values()) + assert all(len(hashes) == 4 for hashes in depth4.values()) + assert all(len(hashes) == 5 for hashes in depth5.values()) + + assert is_subiteration(depth3, depth4) + assert is_subiteration(depth4, depth5) + assert is_subiteration(depth3, depth5) + + +def test_iteration_depth_edge_attr(): + """ + All nodes should have the correct number of subgraph hashes in the output when + setting initial node labels empty and using an edge attribute when aggregating + neighborhoods. + Subsequent iteration depths for the same graph should be additive for each node + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G = nx.erdos_renyi_graph(n, p * i, seed=700 + i) + + for a, b in G.edges: + G[a][b]["edge_attr1"] = f"{a}-{b}-1" + + depth3 = nx.weisfeiler_lehman_subgraph_hashes( + G, edge_attr="edge_attr1", iterations=3 + ) + depth4 = nx.weisfeiler_lehman_subgraph_hashes( + G, edge_attr="edge_attr1", iterations=4 + ) + depth5 = nx.weisfeiler_lehman_subgraph_hashes( + G, edge_attr="edge_attr1", iterations=5 + ) + + assert all(len(hashes) == 3 for hashes in depth3.values()) + assert all(len(hashes) == 4 for hashes in depth4.values()) + assert all(len(hashes) == 5 for hashes in depth5.values()) + + assert is_subiteration(depth3, depth4) + assert is_subiteration(depth4, depth5) + assert is_subiteration(depth3, depth5) + + +def test_iteration_depth_node_attr(): + """ + All nodes should have the correct number of subgraph hashes in the output when + setting initial node labels to an attribute. + Subsequent iteration depths for the same graph should be additive for each node + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G = nx.erdos_renyi_graph(n, p * i, seed=800 + i) + + for u in G.nodes(): + G.nodes[u]["node_attr1"] = f"{u}-1" + + depth3 = nx.weisfeiler_lehman_subgraph_hashes( + G, node_attr="node_attr1", iterations=3 + ) + depth4 = nx.weisfeiler_lehman_subgraph_hashes( + G, node_attr="node_attr1", iterations=4 + ) + depth5 = nx.weisfeiler_lehman_subgraph_hashes( + G, node_attr="node_attr1", iterations=5 + ) + + assert all(len(hashes) == 3 for hashes in depth3.values()) + assert all(len(hashes) == 4 for hashes in depth4.values()) + assert all(len(hashes) == 5 for hashes in depth5.values()) + + assert is_subiteration(depth3, depth4) + assert is_subiteration(depth4, depth5) + assert is_subiteration(depth3, depth5) + + +def test_iteration_depth_node_edge_attr(): + """ + All nodes should have the correct number of subgraph hashes in the output when + setting initial node labels to an attribute and also using an edge attribute when + aggregating neighborhoods. + Subsequent iteration depths for the same graph should be additive for each node + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G = nx.erdos_renyi_graph(n, p * i, seed=900 + i) + + for u in G.nodes(): + G.nodes[u]["node_attr1"] = f"{u}-1" + + for a, b in G.edges: + G[a][b]["edge_attr1"] = f"{a}-{b}-1" + + depth3 = nx.weisfeiler_lehman_subgraph_hashes( + G, edge_attr="edge_attr1", node_attr="node_attr1", iterations=3 + ) + depth4 = nx.weisfeiler_lehman_subgraph_hashes( + G, edge_attr="edge_attr1", node_attr="node_attr1", iterations=4 + ) + depth5 = nx.weisfeiler_lehman_subgraph_hashes( + G, edge_attr="edge_attr1", node_attr="node_attr1", iterations=5 + ) + + assert all(len(hashes) == 3 for hashes in depth3.values()) + assert all(len(hashes) == 4 for hashes in depth4.values()) + assert all(len(hashes) == 5 for hashes in depth5.values()) + + assert is_subiteration(depth3, depth4) + assert is_subiteration(depth4, depth5) + assert is_subiteration(depth3, depth5) + + +def test_digest_size_subgraph_hash(): + """ + The hash string lengths should be as expected for a variety of graphs and + digest sizes + """ + n, r = 100, 10 + p = 1.0 / r + for i in range(1, r + 1): + G = nx.erdos_renyi_graph(n, p * i, seed=1000 + i) + + digest_size16_hashes = nx.weisfeiler_lehman_subgraph_hashes(G) + digest_size32_hashes = nx.weisfeiler_lehman_subgraph_hashes(G, digest_size=32) + + assert digest_size16_hashes != digest_size32_hashes + + assert hexdigest_sizes_correct(digest_size16_hashes, 16) + assert hexdigest_sizes_correct(digest_size32_hashes, 32) + + +def test_initial_node_labels_subgraph_hash(): + """ + Including the hashed initial label prepends an extra hash to the lists + """ + G = nx.path_graph(5) + nx.set_node_attributes(G, {i: int(0 < i < 4) for i in G}, "label") + # initial node labels: + # 0--1--1--1--0 + + without_initial_label = nx.weisfeiler_lehman_subgraph_hashes(G, node_attr="label") + assert all(len(v) == 3 for v in without_initial_label.values()) + # 3 different 1 hop nhds + assert len({v[0] for v in without_initial_label.values()}) == 3 + + with_initial_label = nx.weisfeiler_lehman_subgraph_hashes( + G, node_attr="label", include_initial_labels=True + ) + assert all(len(v) == 4 for v in with_initial_label.values()) + # 2 different initial labels + assert len({v[0] for v in with_initial_label.values()}) == 2 + + # check hashes match otherwise + for u in G: + for a, b in zip( + with_initial_label[u][1:], without_initial_label[u], strict=True + ): + assert a == b diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_graphical.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_graphical.py new file mode 100644 index 0000000000000000000000000000000000000000..99f766f799d8573e80d905482f4b685a2d16bcc0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_graphical.py @@ -0,0 +1,163 @@ +import pytest + +import networkx as nx + + +def test_valid_degree_sequence1(): + n = 100 + p = 0.3 + for i in range(10): + G = nx.erdos_renyi_graph(n, p) + deg = (d for n, d in G.degree()) + assert nx.is_graphical(deg, method="eg") + assert nx.is_graphical(deg, method="hh") + + +def test_valid_degree_sequence2(): + n = 100 + for i in range(10): + G = nx.barabasi_albert_graph(n, 1) + deg = (d for n, d in G.degree()) + assert nx.is_graphical(deg, method="eg") + assert nx.is_graphical(deg, method="hh") + + +def test_string_input(): + pytest.raises(nx.NetworkXException, nx.is_graphical, [], "foo") + pytest.raises(nx.NetworkXException, nx.is_graphical, ["red"], "hh") + pytest.raises(nx.NetworkXException, nx.is_graphical, ["red"], "eg") + + +def test_non_integer_input(): + pytest.raises(nx.NetworkXException, nx.is_graphical, [72.5], "eg") + pytest.raises(nx.NetworkXException, nx.is_graphical, [72.5], "hh") + + +def test_negative_input(): + assert not nx.is_graphical([-1], "hh") + assert not nx.is_graphical([-1], "eg") + + +class TestAtlas: + @classmethod + def setup_class(cls): + global atlas + from networkx.generators import atlas + + cls.GAG = atlas.graph_atlas_g() + + def test_atlas(self): + for graph in self.GAG: + deg = (d for n, d in graph.degree()) + assert nx.is_graphical(deg, method="eg") + assert nx.is_graphical(deg, method="hh") + + +def test_small_graph_true(): + z = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + assert nx.is_graphical(z, method="hh") + assert nx.is_graphical(z, method="eg") + z = [10, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2] + assert nx.is_graphical(z, method="hh") + assert nx.is_graphical(z, method="eg") + z = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + assert nx.is_graphical(z, method="hh") + assert nx.is_graphical(z, method="eg") + + +def test_small_graph_false(): + z = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + assert not nx.is_graphical(z, method="hh") + assert not nx.is_graphical(z, method="eg") + z = [6, 5, 4, 4, 2, 1, 1, 1] + assert not nx.is_graphical(z, method="hh") + assert not nx.is_graphical(z, method="eg") + z = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + assert not nx.is_graphical(z, method="hh") + assert not nx.is_graphical(z, method="eg") + + +def test_directed_degree_sequence(): + # Test a range of valid directed degree sequences + n, r = 100, 10 + p = 1.0 / r + for i in range(r): + G = nx.erdos_renyi_graph(n, p * (i + 1), None, True) + din = (d for n, d in G.in_degree()) + dout = (d for n, d in G.out_degree()) + assert nx.is_digraphical(din, dout) + + +def test_small_directed_sequences(): + dout = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + din = [3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1] + assert nx.is_digraphical(din, dout) + # Test nongraphical directed sequence + dout = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + din = [103, 102, 102, 102, 102, 102, 102, 102, 102, 102] + assert not nx.is_digraphical(din, dout) + # Test digraphical small sequence + dout = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + din = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1] + assert nx.is_digraphical(din, dout) + # Test nonmatching sum + din = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] + assert not nx.is_digraphical(din, dout) + # Test for negative integer in sequence + din = [2, 2, 2, -2, 2, 2, 2, 2, 1, 1, 4] + assert not nx.is_digraphical(din, dout) + # Test for noninteger + din = dout = [1, 1, 1.1, 1] + assert not nx.is_digraphical(din, dout) + din = dout = [1, 1, "rer", 1] + assert not nx.is_digraphical(din, dout) + + +def test_multi_sequence(): + # Test nongraphical multi sequence + seq = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1] + assert not nx.is_multigraphical(seq) + # Test small graphical multi sequence + seq = [6, 5, 4, 4, 2, 1, 1, 1] + assert nx.is_multigraphical(seq) + # Test for negative integer in sequence + seq = [6, 5, 4, -4, 2, 1, 1, 1] + assert not nx.is_multigraphical(seq) + # Test for sequence with odd sum + seq = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + assert not nx.is_multigraphical(seq) + # Test for noninteger + seq = [1, 1, 1.1, 1] + assert not nx.is_multigraphical(seq) + seq = [1, 1, "rer", 1] + assert not nx.is_multigraphical(seq) + + +def test_pseudo_sequence(): + # Test small valid pseudo sequence + seq = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1] + assert nx.is_pseudographical(seq) + # Test for sequence with odd sum + seq = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + assert not nx.is_pseudographical(seq) + # Test for negative integer in sequence + seq = [1000, 3, 3, 3, 3, 2, 2, -2, 1, 1] + assert not nx.is_pseudographical(seq) + # Test for noninteger + seq = [1, 1, 1.1, 1] + assert not nx.is_pseudographical(seq) + seq = [1, 1, "rer", 1] + assert not nx.is_pseudographical(seq) + + +def test_numpy_degree_sequence(): + np = pytest.importorskip("numpy") + ds = np.array([1, 2, 2, 2, 1], dtype=np.int64) + assert nx.is_graphical(ds, "eg") + assert nx.is_graphical(ds, "hh") + ds = np.array([1, 2, 2, 2, 1], dtype=np.float64) + assert nx.is_graphical(ds, "eg") + assert nx.is_graphical(ds, "hh") + ds = np.array([1.1, 2, 2, 2, 1], dtype=np.float64) + pytest.raises(nx.NetworkXException, nx.is_graphical, ds, "eg") + pytest.raises(nx.NetworkXException, nx.is_graphical, ds, "hh") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_hierarchy.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_hierarchy.py new file mode 100644 index 0000000000000000000000000000000000000000..eaa6a67b8b7f048719aa189b8365ef8e4c65951c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_hierarchy.py @@ -0,0 +1,46 @@ +import pytest + +import networkx as nx + + +def test_hierarchy_undirected(): + G = nx.cycle_graph(5) + pytest.raises(nx.NetworkXError, nx.flow_hierarchy, G) + + +def test_hierarchy_cycle(): + G = nx.cycle_graph(5, create_using=nx.DiGraph()) + assert nx.flow_hierarchy(G) == 0.0 + + +def test_hierarchy_tree(): + G = nx.full_rary_tree(2, 16, create_using=nx.DiGraph()) + assert nx.flow_hierarchy(G) == 1.0 + + +def test_hierarchy_1(): + G = nx.DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 1), (3, 4), (0, 4)]) + assert nx.flow_hierarchy(G) == 0.5 + + +def test_hierarchy_weight(): + G = nx.DiGraph() + G.add_edges_from( + [ + (0, 1, {"weight": 0.3}), + (1, 2, {"weight": 0.1}), + (2, 3, {"weight": 0.1}), + (3, 1, {"weight": 0.1}), + (3, 4, {"weight": 0.3}), + (0, 4, {"weight": 0.3}), + ] + ) + assert nx.flow_hierarchy(G, weight="weight") == 0.75 + + +@pytest.mark.parametrize("n", (0, 1, 3)) +def test_hierarchy_empty_graph(n): + G = nx.empty_graph(n, create_using=nx.DiGraph) + with pytest.raises(nx.NetworkXError, match=".*not applicable to empty graphs"): + nx.flow_hierarchy(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_hybrid.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_hybrid.py new file mode 100644 index 0000000000000000000000000000000000000000..6af0016498549caed58772e304c93113a8b693d9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_hybrid.py @@ -0,0 +1,24 @@ +import networkx as nx + + +def test_2d_grid_graph(): + # FC article claims 2d grid graph of size n is (3,3)-connected + # and (5,9)-connected, but I don't think it is (5,9)-connected + G = nx.grid_2d_graph(8, 8, periodic=True) + assert nx.is_kl_connected(G, 3, 3) + assert not nx.is_kl_connected(G, 5, 9) + (H, graphOK) = nx.kl_connected_subgraph(G, 5, 9, same_as_graph=True) + assert not graphOK + + +def test_small_graph(): + G = nx.Graph() + G.add_edge(1, 2) + G.add_edge(1, 3) + G.add_edge(2, 3) + assert nx.is_kl_connected(G, 2, 2) + H = nx.kl_connected_subgraph(G, 2, 2) + (H, graphOK) = nx.kl_connected_subgraph( + G, 2, 2, low_memory=True, same_as_graph=True + ) + assert graphOK diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_isolate.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_isolate.py new file mode 100644 index 0000000000000000000000000000000000000000..d29b306d2b13c2457905c41218e5c60793b309ba --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_isolate.py @@ -0,0 +1,26 @@ +"""Unit tests for the :mod:`networkx.algorithms.isolates` module.""" + +import networkx as nx + + +def test_is_isolate(): + G = nx.Graph() + G.add_edge(0, 1) + G.add_node(2) + assert not nx.is_isolate(G, 0) + assert not nx.is_isolate(G, 1) + assert nx.is_isolate(G, 2) + + +def test_isolates(): + G = nx.Graph() + G.add_edge(0, 1) + G.add_nodes_from([2, 3]) + assert sorted(nx.isolates(G)) == [2, 3] + + +def test_number_of_isolates(): + G = nx.Graph() + G.add_edge(0, 1) + G.add_nodes_from([2, 3]) + assert nx.number_of_isolates(G) == 2 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_link_prediction.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_link_prediction.py new file mode 100644 index 0000000000000000000000000000000000000000..0878496bc2aa1b81b45fe36bbc5d86c1cd4d204f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_link_prediction.py @@ -0,0 +1,586 @@ +import math +from functools import partial + +import pytest + +import networkx as nx + + +def _test_func(G, ebunch, expected, predict_func, **kwargs): + result = predict_func(G, ebunch, **kwargs) + exp_dict = {tuple(sorted([u, v])): score for u, v, score in expected} + res_dict = {tuple(sorted([u, v])): score for u, v, score in result} + + assert len(exp_dict) == len(res_dict) + for p in exp_dict: + assert exp_dict[p] == pytest.approx(res_dict[p], abs=1e-7) + + +class TestResourceAllocationIndex: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.resource_allocation_index) + cls.test = partial(_test_func, predict_func=cls.func) + + def test_K5(self): + G = nx.complete_graph(5) + self.test(G, [(0, 1)], [(0, 1, 0.75)]) + + def test_P3(self): + G = nx.path_graph(3) + self.test(G, [(0, 2)], [(0, 2, 0.5)]) + + def test_S4(self): + G = nx.star_graph(4) + self.test(G, [(1, 2)], [(1, 2, 0.25)]) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + assert pytest.raises( + nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)] + ) + + def test_node_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_no_common_neighbor(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_equal_nodes(self): + G = nx.complete_graph(4) + self.test(G, [(0, 0)], [(0, 0, 1)]) + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + self.test(G, None, [(0, 3, 0.5), (1, 2, 0.5), (1, 3, 0)]) + + +class TestJaccardCoefficient: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.jaccard_coefficient) + cls.test = partial(_test_func, predict_func=cls.func) + + def test_K5(self): + G = nx.complete_graph(5) + self.test(G, [(0, 1)], [(0, 1, 0.6)]) + + def test_P4(self): + G = nx.path_graph(4) + self.test(G, [(0, 2)], [(0, 2, 0.5)]) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + assert pytest.raises( + nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)] + ) + + def test_node_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_no_common_neighbor(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (2, 3)]) + self.test(G, [(0, 2)], [(0, 2, 0)]) + + def test_isolated_nodes(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + self.test(G, None, [(0, 3, 0.5), (1, 2, 0.5), (1, 3, 0)]) + + +class TestAdamicAdarIndex: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.adamic_adar_index) + cls.test = partial(_test_func, predict_func=cls.func) + + def test_K5(self): + G = nx.complete_graph(5) + self.test(G, [(0, 1)], [(0, 1, 3 / math.log(4))]) + + def test_P3(self): + G = nx.path_graph(3) + self.test(G, [(0, 2)], [(0, 2, 1 / math.log(2))]) + + def test_S4(self): + G = nx.star_graph(4) + self.test(G, [(1, 2)], [(1, 2, 1 / math.log(4))]) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + assert pytest.raises( + nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)] + ) + + def test_node_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_no_common_neighbor(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_equal_nodes(self): + G = nx.complete_graph(4) + self.test(G, [(0, 0)], [(0, 0, 3 / math.log(3))]) + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + self.test( + G, None, [(0, 3, 1 / math.log(2)), (1, 2, 1 / math.log(2)), (1, 3, 0)] + ) + + +class TestCommonNeighborCentrality: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.common_neighbor_centrality) + cls.test = partial(_test_func, predict_func=cls.func) + + def test_K5(self): + G = nx.complete_graph(5) + self.test(G, [(0, 1)], [(0, 1, 3.0)], alpha=1) + self.test(G, [(0, 1)], [(0, 1, 5.0)], alpha=0) + + def test_P3(self): + G = nx.path_graph(3) + self.test(G, [(0, 2)], [(0, 2, 1.25)], alpha=0.5) + + def test_S4(self): + G = nx.star_graph(4) + self.test(G, [(1, 2)], [(1, 2, 1.75)], alpha=0.5) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + assert pytest.raises( + nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)] + ) + + def test_node_u_not_found(self): + G = nx.Graph() + G.add_edges_from([(1, 3), (2, 3)]) + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 1)]) + + def test_node_v_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_no_common_neighbor(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_equal_nodes(self): + G = nx.complete_graph(4) + assert pytest.raises(nx.NetworkXAlgorithmError, self.test, G, [(0, 0)], []) + + def test_equal_nodes_with_alpha_one_raises_error(self): + G = nx.complete_graph(4) + assert pytest.raises( + nx.NetworkXAlgorithmError, self.test, G, [(0, 0)], [], alpha=1.0 + ) + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + self.test(G, None, [(0, 3, 1.5), (1, 2, 1.5), (1, 3, 2 / 3)], alpha=0.5) + + +class TestPreferentialAttachment: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.preferential_attachment) + cls.test = partial(_test_func, predict_func=cls.func) + + def test_K5(self): + G = nx.complete_graph(5) + self.test(G, [(0, 1)], [(0, 1, 16)]) + + def test_P3(self): + G = nx.path_graph(3) + self.test(G, [(0, 1)], [(0, 1, 2)]) + + def test_S4(self): + G = nx.star_graph(4) + self.test(G, [(0, 2)], [(0, 2, 4)]) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + assert pytest.raises( + nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)] + ) + + def test_node_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_zero_degrees(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + self.test(G, None, [(0, 3, 2), (1, 2, 2), (1, 3, 1)]) + + +class TestCNSoundarajanHopcroft: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.cn_soundarajan_hopcroft) + cls.test = partial(_test_func, predict_func=cls.func, community="community") + + def test_K5(self): + G = nx.complete_graph(5) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 1 + self.test(G, [(0, 1)], [(0, 1, 5)]) + + def test_P3(self): + G = nx.path_graph(3) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + self.test(G, [(0, 2)], [(0, 2, 1)]) + + def test_S4(self): + G = nx.star_graph(4) + G.nodes[0]["community"] = 1 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 1 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 0 + self.test(G, [(1, 2)], [(1, 2, 2)]) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + G = graph_type([(0, 1), (1, 2)]) + G.add_nodes_from([0, 1, 2], community=0) + assert pytest.raises(nx.NetworkXNotImplemented, self.func, G, [(0, 2)]) + + def test_node_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_no_common_neighbor(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_equal_nodes(self): + G = nx.complete_graph(3) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + self.test(G, [(0, 0)], [(0, 0, 4)]) + + def test_different_community(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 1 + self.test(G, [(0, 3)], [(0, 3, 2)]) + + def test_no_community_information(self): + G = nx.complete_graph(5) + assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 1)])) + + def test_insufficient_community_information(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[3]["community"] = 0 + assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 3)])) + + def test_sufficient_community_information(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 5)]) + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 0 + self.test(G, [(1, 4)], [(1, 4, 4)]) + + def test_custom_community_attribute_name(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["cmty"] = 0 + G.nodes[1]["cmty"] = 0 + G.nodes[2]["cmty"] = 0 + G.nodes[3]["cmty"] = 1 + self.test(G, [(0, 3)], [(0, 3, 2)], community="cmty") + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + self.test(G, None, [(0, 3, 2), (1, 2, 1), (1, 3, 0)]) + + +class TestRAIndexSoundarajanHopcroft: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.ra_index_soundarajan_hopcroft) + cls.test = partial(_test_func, predict_func=cls.func, community="community") + + def test_K5(self): + G = nx.complete_graph(5) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 1 + self.test(G, [(0, 1)], [(0, 1, 0.5)]) + + def test_P3(self): + G = nx.path_graph(3) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + self.test(G, [(0, 2)], [(0, 2, 0)]) + + def test_S4(self): + G = nx.star_graph(4) + G.nodes[0]["community"] = 1 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 1 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 0 + self.test(G, [(1, 2)], [(1, 2, 0.25)]) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + G = graph_type([(0, 1), (1, 2)]) + G.add_nodes_from([0, 1, 2], community=0) + assert pytest.raises(nx.NetworkXNotImplemented, self.func, G, [(0, 2)]) + + def test_node_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_no_common_neighbor(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_equal_nodes(self): + G = nx.complete_graph(3) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + self.test(G, [(0, 0)], [(0, 0, 1)]) + + def test_different_community(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 1 + self.test(G, [(0, 3)], [(0, 3, 0)]) + + def test_no_community_information(self): + G = nx.complete_graph(5) + assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 1)])) + + def test_insufficient_community_information(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[3]["community"] = 0 + assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 3)])) + + def test_sufficient_community_information(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 5)]) + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 0 + self.test(G, [(1, 4)], [(1, 4, 1)]) + + def test_custom_community_attribute_name(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["cmty"] = 0 + G.nodes[1]["cmty"] = 0 + G.nodes[2]["cmty"] = 0 + G.nodes[3]["cmty"] = 1 + self.test(G, [(0, 3)], [(0, 3, 0)], community="cmty") + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + self.test(G, None, [(0, 3, 0.5), (1, 2, 0), (1, 3, 0)]) + + +class TestWithinInterCluster: + @classmethod + def setup_class(cls): + cls.delta = 0.001 + cls.func = staticmethod(nx.within_inter_cluster) + cls.test = partial( + _test_func, predict_func=cls.func, delta=cls.delta, community="community" + ) + + def test_K5(self): + G = nx.complete_graph(5) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 1 + self.test(G, [(0, 1)], [(0, 1, 2 / (1 + self.delta))]) + + def test_P3(self): + G = nx.path_graph(3) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + self.test(G, [(0, 2)], [(0, 2, 0)]) + + def test_S4(self): + G = nx.star_graph(4) + G.nodes[0]["community"] = 1 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 1 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 0 + self.test(G, [(1, 2)], [(1, 2, 1 / self.delta)]) + + @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) + def test_notimplemented(self, graph_type): + G = graph_type([(0, 1), (1, 2)]) + G.add_nodes_from([0, 1, 2], community=0) + assert pytest.raises(nx.NetworkXNotImplemented, self.func, G, [(0, 2)]) + + def test_node_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)]) + + def test_no_common_neighbor(self): + G = nx.Graph() + G.add_nodes_from([0, 1]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + self.test(G, [(0, 1)], [(0, 1, 0)]) + + def test_equal_nodes(self): + G = nx.complete_graph(3) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + self.test(G, [(0, 0)], [(0, 0, 2 / self.delta)]) + + def test_different_community(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 1 + self.test(G, [(0, 3)], [(0, 3, 0)]) + + def test_no_inter_cluster_common_neighbor(self): + G = nx.complete_graph(4) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + self.test(G, [(0, 3)], [(0, 3, 2 / self.delta)]) + + def test_no_community_information(self): + G = nx.complete_graph(5) + assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 1)])) + + def test_insufficient_community_information(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 0 + G.nodes[3]["community"] = 0 + assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 3)])) + + def test_sufficient_community_information(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 5)]) + G.nodes[1]["community"] = 0 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + G.nodes[4]["community"] = 0 + self.test(G, [(1, 4)], [(1, 4, 2 / self.delta)]) + + def test_invalid_delta(self): + G = nx.complete_graph(3) + G.add_nodes_from([0, 1, 2], community=0) + assert pytest.raises(nx.NetworkXAlgorithmError, self.func, G, [(0, 1)], 0) + assert pytest.raises(nx.NetworkXAlgorithmError, self.func, G, [(0, 1)], -0.5) + + def test_custom_community_attribute_name(self): + G = nx.complete_graph(4) + G.nodes[0]["cmty"] = 0 + G.nodes[1]["cmty"] = 0 + G.nodes[2]["cmty"] = 0 + G.nodes[3]["cmty"] = 0 + self.test(G, [(0, 3)], [(0, 3, 2 / self.delta)], community="cmty") + + def test_all_nonexistent_edges(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (2, 3)]) + G.nodes[0]["community"] = 0 + G.nodes[1]["community"] = 1 + G.nodes[2]["community"] = 0 + G.nodes[3]["community"] = 0 + self.test(G, None, [(0, 3, 1 / self.delta), (1, 2, 0), (1, 3, 0)]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_lowest_common_ancestors.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_lowest_common_ancestors.py new file mode 100644 index 0000000000000000000000000000000000000000..66d75220327cb27c8b378505aea2780ea96021af --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_lowest_common_ancestors.py @@ -0,0 +1,427 @@ +from itertools import chain, combinations, product + +import pytest + +import networkx as nx + +tree_all_pairs_lca = nx.tree_all_pairs_lowest_common_ancestor +all_pairs_lca = nx.all_pairs_lowest_common_ancestor + + +def get_pair(dictionary, n1, n2): + if (n1, n2) in dictionary: + return dictionary[n1, n2] + else: + return dictionary[n2, n1] + + +class TestTreeLCA: + @classmethod + def setup_class(cls): + cls.DG = nx.DiGraph() + edges = [(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)] + cls.DG.add_edges_from(edges) + cls.ans = dict(tree_all_pairs_lca(cls.DG, 0)) + gold = {(n, n): n for n in cls.DG} + gold.update({(0, i): 0 for i in range(1, 7)}) + gold.update( + { + (1, 2): 0, + (1, 3): 1, + (1, 4): 1, + (1, 5): 0, + (1, 6): 0, + (2, 3): 0, + (2, 4): 0, + (2, 5): 2, + (2, 6): 2, + (3, 4): 1, + (3, 5): 0, + (3, 6): 0, + (4, 5): 0, + (4, 6): 0, + (5, 6): 2, + } + ) + + cls.gold = gold + + @staticmethod + def assert_has_same_pairs(d1, d2): + for a, b in ((min(pair), max(pair)) for pair in chain(d1, d2)): + assert get_pair(d1, a, b) == get_pair(d2, a, b) + + def test_tree_all_pairs_lca_default_root(self): + assert dict(tree_all_pairs_lca(self.DG)) == self.ans + + def test_tree_all_pairs_lca_return_subset(self): + test_pairs = [(0, 1), (0, 1), (1, 0)] + ans = dict(tree_all_pairs_lca(self.DG, 0, test_pairs)) + assert (0, 1) in ans and (1, 0) in ans + assert len(ans) == 2 + + def test_tree_all_pairs_lca(self): + all_pairs = chain(combinations(self.DG, 2), ((node, node) for node in self.DG)) + + ans = dict(tree_all_pairs_lca(self.DG, 0, all_pairs)) + self.assert_has_same_pairs(ans, self.ans) + + def test_tree_all_pairs_gold_example(self): + ans = dict(tree_all_pairs_lca(self.DG)) + self.assert_has_same_pairs(self.gold, ans) + + def test_tree_all_pairs_lca_invalid_input(self): + empty_digraph = tree_all_pairs_lca(nx.DiGraph()) + pytest.raises(nx.NetworkXPointlessConcept, list, empty_digraph) + + bad_pairs_digraph = tree_all_pairs_lca(self.DG, pairs=[(-1, -2)]) + pytest.raises(nx.NodeNotFound, list, bad_pairs_digraph) + + def test_tree_all_pairs_lca_subtrees(self): + ans = dict(tree_all_pairs_lca(self.DG, 1)) + gold = { + pair: lca + for (pair, lca) in self.gold.items() + if all(n in (1, 3, 4) for n in pair) + } + self.assert_has_same_pairs(gold, ans) + + def test_tree_all_pairs_lca_disconnected_nodes(self): + G = nx.DiGraph() + G.add_node(1) + assert {(1, 1): 1} == dict(tree_all_pairs_lca(G)) + + G.add_node(0) + assert {(1, 1): 1} == dict(tree_all_pairs_lca(G, 1)) + assert {(0, 0): 0} == dict(tree_all_pairs_lca(G, 0)) + + pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G)) + + def test_tree_all_pairs_lca_error_if_input_not_tree(self): + # Cycle + G = nx.DiGraph([(1, 2), (2, 1)]) + pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G)) + # DAG + G = nx.DiGraph([(0, 2), (1, 2)]) + pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G)) + + def test_tree_all_pairs_lca_generator(self): + pairs = iter([(0, 1), (0, 1), (1, 0)]) + some_pairs = dict(tree_all_pairs_lca(self.DG, 0, pairs)) + assert (0, 1) in some_pairs and (1, 0) in some_pairs + assert len(some_pairs) == 2 + + def test_tree_all_pairs_lca_nonexisting_pairs_exception(self): + lca = tree_all_pairs_lca(self.DG, 0, [(-1, -1)]) + pytest.raises(nx.NodeNotFound, list, lca) + # check if node is None + lca = tree_all_pairs_lca(self.DG, None, [(-1, -1)]) + pytest.raises(nx.NodeNotFound, list, lca) + + def test_tree_all_pairs_lca_routine_bails_on_DAGs(self): + G = nx.DiGraph([(3, 4), (5, 4)]) + pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G)) + + def test_tree_all_pairs_lca_not_implemented(self): + NNI = nx.NetworkXNotImplemented + G = nx.Graph([(0, 1)]) + with pytest.raises(NNI): + next(tree_all_pairs_lca(G)) + with pytest.raises(NNI): + next(all_pairs_lca(G)) + pytest.raises(NNI, nx.lowest_common_ancestor, G, 0, 1) + G = nx.MultiGraph([(0, 1)]) + with pytest.raises(NNI): + next(tree_all_pairs_lca(G)) + with pytest.raises(NNI): + next(all_pairs_lca(G)) + pytest.raises(NNI, nx.lowest_common_ancestor, G, 0, 1) + + def test_tree_all_pairs_lca_trees_without_LCAs(self): + G = nx.DiGraph() + G.add_node(3) + ans = list(tree_all_pairs_lca(G)) + assert ans == [((3, 3), 3)] + + +class TestMultiTreeLCA(TestTreeLCA): + @classmethod + def setup_class(cls): + cls.DG = nx.MultiDiGraph() + edges = [(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)] + cls.DG.add_edges_from(edges) + cls.ans = dict(tree_all_pairs_lca(cls.DG, 0)) + # add multiedges + cls.DG.add_edges_from(edges) + + gold = {(n, n): n for n in cls.DG} + gold.update({(0, i): 0 for i in range(1, 7)}) + gold.update( + { + (1, 2): 0, + (1, 3): 1, + (1, 4): 1, + (1, 5): 0, + (1, 6): 0, + (2, 3): 0, + (2, 4): 0, + (2, 5): 2, + (2, 6): 2, + (3, 4): 1, + (3, 5): 0, + (3, 6): 0, + (4, 5): 0, + (4, 6): 0, + (5, 6): 2, + } + ) + + cls.gold = gold + + +class TestDAGLCA: + @classmethod + def setup_class(cls): + cls.DG = nx.DiGraph() + nx.add_path(cls.DG, (0, 1, 2, 3)) + nx.add_path(cls.DG, (0, 4, 3)) + nx.add_path(cls.DG, (0, 5, 6, 8, 3)) + nx.add_path(cls.DG, (5, 7, 8)) + cls.DG.add_edge(6, 2) + cls.DG.add_edge(7, 2) + + cls.root_distance = nx.shortest_path_length(cls.DG, source=0) + + cls.gold = { + (1, 1): 1, + (1, 2): 1, + (1, 3): 1, + (1, 4): 0, + (1, 5): 0, + (1, 6): 0, + (1, 7): 0, + (1, 8): 0, + (2, 2): 2, + (2, 3): 2, + (2, 4): 0, + (2, 5): 5, + (2, 6): 6, + (2, 7): 7, + (2, 8): 7, + (3, 3): 3, + (3, 4): 4, + (3, 5): 5, + (3, 6): 6, + (3, 7): 7, + (3, 8): 8, + (4, 4): 4, + (4, 5): 0, + (4, 6): 0, + (4, 7): 0, + (4, 8): 0, + (5, 5): 5, + (5, 6): 5, + (5, 7): 5, + (5, 8): 5, + (6, 6): 6, + (6, 7): 5, + (6, 8): 6, + (7, 7): 7, + (7, 8): 7, + (8, 8): 8, + } + cls.gold.update(((0, n), 0) for n in cls.DG) + + def assert_lca_dicts_same(self, d1, d2, G=None): + """Checks if d1 and d2 contain the same pairs and + have a node at the same distance from root for each. + If G is None use self.DG.""" + if G is None: + G = self.DG + root_distance = self.root_distance + else: + roots = [n for n, deg in G.in_degree if deg == 0] + assert len(roots) == 1 + root_distance = nx.shortest_path_length(G, source=roots[0]) + + for a, b in ((min(pair), max(pair)) for pair in chain(d1, d2)): + assert ( + root_distance[get_pair(d1, a, b)] == root_distance[get_pair(d2, a, b)] + ) + + def test_all_pairs_lca_gold_example(self): + self.assert_lca_dicts_same(dict(all_pairs_lca(self.DG)), self.gold) + + def test_all_pairs_lca_all_pairs_given(self): + all_pairs = list(product(self.DG.nodes(), self.DG.nodes())) + ans = all_pairs_lca(self.DG, pairs=all_pairs) + self.assert_lca_dicts_same(dict(ans), self.gold) + + def test_all_pairs_lca_generator(self): + all_pairs = product(self.DG.nodes(), self.DG.nodes()) + ans = all_pairs_lca(self.DG, pairs=all_pairs) + self.assert_lca_dicts_same(dict(ans), self.gold) + + def test_all_pairs_lca_input_graph_with_two_roots(self): + G = self.DG.copy() + G.add_edge(9, 10) + G.add_edge(9, 4) + gold = self.gold.copy() + gold[9, 9] = 9 + gold[9, 10] = 9 + gold[9, 4] = 9 + gold[9, 3] = 9 + gold[10, 4] = 9 + gold[10, 3] = 9 + gold[10, 10] = 10 + + testing = dict(all_pairs_lca(G)) + + G.add_edge(-1, 9) + G.add_edge(-1, 0) + self.assert_lca_dicts_same(testing, gold, G) + + def test_all_pairs_lca_nonexisting_pairs_exception(self): + pytest.raises(nx.NodeNotFound, all_pairs_lca, self.DG, [(-1, -1)]) + + def test_all_pairs_lca_pairs_without_lca(self): + G = self.DG.copy() + G.add_node(-1) + gen = all_pairs_lca(G, [(-1, -1), (-1, 0)]) + assert dict(gen) == {(-1, -1): -1} + + def test_all_pairs_lca_null_graph(self): + pytest.raises(nx.NetworkXPointlessConcept, all_pairs_lca, nx.DiGraph()) + + def test_all_pairs_lca_non_dags(self): + pytest.raises(nx.NetworkXError, all_pairs_lca, nx.DiGraph([(3, 4), (4, 3)])) + + def test_all_pairs_lca_nonempty_graph_without_lca(self): + G = nx.DiGraph() + G.add_node(3) + ans = list(all_pairs_lca(G)) + assert ans == [((3, 3), 3)] + + def test_all_pairs_lca_bug_gh4942(self): + G = nx.DiGraph([(0, 2), (1, 2), (2, 3)]) + ans = list(all_pairs_lca(G)) + assert len(ans) == 9 + + def test_all_pairs_lca_default_kwarg(self): + G = nx.DiGraph([(0, 1), (2, 1)]) + sentinel = object() + assert nx.lowest_common_ancestor(G, 0, 2, default=sentinel) is sentinel + + def test_all_pairs_lca_identity(self): + G = nx.DiGraph() + G.add_node(3) + assert nx.lowest_common_ancestor(G, 3, 3) == 3 + + def test_all_pairs_lca_issue_4574(self): + G = nx.DiGraph() + G.add_nodes_from(range(17)) + G.add_edges_from( + [ + (2, 0), + (1, 2), + (3, 2), + (5, 2), + (8, 2), + (11, 2), + (4, 5), + (6, 5), + (7, 8), + (10, 8), + (13, 11), + (14, 11), + (15, 11), + (9, 10), + (12, 13), + (16, 15), + ] + ) + + assert nx.lowest_common_ancestor(G, 7, 9) == None + + def test_all_pairs_lca_one_pair_gh4942(self): + G = nx.DiGraph() + # Note: order edge addition is critical to the test + G.add_edge(0, 1) + G.add_edge(2, 0) + G.add_edge(2, 3) + G.add_edge(4, 0) + G.add_edge(5, 2) + + assert nx.lowest_common_ancestor(G, 1, 3) == 2 + + +class TestMultiDiGraph_DAGLCA(TestDAGLCA): + @classmethod + def setup_class(cls): + cls.DG = nx.MultiDiGraph() + nx.add_path(cls.DG, (0, 1, 2, 3)) + # add multiedges + nx.add_path(cls.DG, (0, 1, 2, 3)) + nx.add_path(cls.DG, (0, 4, 3)) + nx.add_path(cls.DG, (0, 5, 6, 8, 3)) + nx.add_path(cls.DG, (5, 7, 8)) + cls.DG.add_edge(6, 2) + cls.DG.add_edge(7, 2) + + cls.root_distance = nx.shortest_path_length(cls.DG, source=0) + + cls.gold = { + (1, 1): 1, + (1, 2): 1, + (1, 3): 1, + (1, 4): 0, + (1, 5): 0, + (1, 6): 0, + (1, 7): 0, + (1, 8): 0, + (2, 2): 2, + (2, 3): 2, + (2, 4): 0, + (2, 5): 5, + (2, 6): 6, + (2, 7): 7, + (2, 8): 7, + (3, 3): 3, + (3, 4): 4, + (3, 5): 5, + (3, 6): 6, + (3, 7): 7, + (3, 8): 8, + (4, 4): 4, + (4, 5): 0, + (4, 6): 0, + (4, 7): 0, + (4, 8): 0, + (5, 5): 5, + (5, 6): 5, + (5, 7): 5, + (5, 8): 5, + (6, 6): 6, + (6, 7): 5, + (6, 8): 6, + (7, 7): 7, + (7, 8): 7, + (8, 8): 8, + } + cls.gold.update(((0, n), 0) for n in cls.DG) + + +def test_all_pairs_lca_self_ancestors(): + """Self-ancestors should always be the node itself, i.e. lca of (0, 0) is 0. + See gh-4458.""" + # DAG for test - note order of node/edge addition is relevant + G = nx.DiGraph() + G.add_nodes_from(range(5)) + G.add_edges_from([(1, 0), (2, 0), (3, 2), (4, 1), (4, 3)]) + + ap_lca = nx.all_pairs_lowest_common_ancestor + assert all(u == v == a for (u, v), a in ap_lca(G) if u == v) + MG = nx.MultiDiGraph(G) + assert all(u == v == a for (u, v), a in ap_lca(MG) if u == v) + MG.add_edges_from([(1, 0), (2, 0)]) + assert all(u == v == a for (u, v), a in ap_lca(MG) if u == v) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_matching.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_matching.py new file mode 100644 index 0000000000000000000000000000000000000000..37853e3896c0fd6bcac1f46524a844ae2e2fb518 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_matching.py @@ -0,0 +1,605 @@ +import math +from itertools import permutations + +from pytest import raises + +import networkx as nx +from networkx.algorithms.matching import matching_dict_to_set +from networkx.utils import edges_equal + + +class TestMaxWeightMatching: + """Unit tests for the + :func:`~networkx.algorithms.matching.max_weight_matching` function. + + """ + + def test_trivial1(self): + """Empty graph""" + G = nx.Graph() + assert nx.max_weight_matching(G) == set() + assert nx.min_weight_matching(G) == set() + + def test_selfloop(self): + G = nx.Graph() + G.add_edge(0, 0, weight=100) + assert nx.max_weight_matching(G) == set() + assert nx.min_weight_matching(G) == set() + + def test_single_edge(self): + G = nx.Graph() + G.add_edge(0, 1) + assert edges_equal( + nx.max_weight_matching(G), matching_dict_to_set({0: 1, 1: 0}) + ) + assert edges_equal( + nx.min_weight_matching(G), matching_dict_to_set({0: 1, 1: 0}) + ) + + def test_two_path(self): + G = nx.Graph() + G.add_edge("one", "two", weight=10) + G.add_edge("two", "three", weight=11) + assert edges_equal( + nx.max_weight_matching(G), + matching_dict_to_set({"three": "two", "two": "three"}), + ) + assert edges_equal( + nx.min_weight_matching(G), + matching_dict_to_set({"one": "two", "two": "one"}), + ) + + def test_path(self): + G = nx.Graph() + G.add_edge(1, 2, weight=5) + G.add_edge(2, 3, weight=11) + G.add_edge(3, 4, weight=5) + assert edges_equal( + nx.max_weight_matching(G), matching_dict_to_set({2: 3, 3: 2}) + ) + assert edges_equal( + nx.max_weight_matching(G, 1), matching_dict_to_set({1: 2, 2: 1, 3: 4, 4: 3}) + ) + assert edges_equal( + nx.min_weight_matching(G), matching_dict_to_set({1: 2, 3: 4}) + ) + assert edges_equal( + nx.min_weight_matching(G, 1), matching_dict_to_set({1: 2, 3: 4}) + ) + + def test_square(self): + G = nx.Graph() + G.add_edge(1, 4, weight=2) + G.add_edge(2, 3, weight=2) + G.add_edge(1, 2, weight=1) + G.add_edge(3, 4, weight=4) + assert edges_equal( + nx.max_weight_matching(G), matching_dict_to_set({1: 2, 3: 4}) + ) + assert edges_equal( + nx.min_weight_matching(G), matching_dict_to_set({1: 4, 2: 3}) + ) + + def test_edge_attribute_name(self): + G = nx.Graph() + G.add_edge("one", "two", weight=10, abcd=11) + G.add_edge("two", "three", weight=11, abcd=10) + assert edges_equal( + nx.max_weight_matching(G, weight="abcd"), + matching_dict_to_set({"one": "two", "two": "one"}), + ) + assert edges_equal( + nx.min_weight_matching(G, weight="abcd"), + matching_dict_to_set({"three": "two"}), + ) + + def test_floating_point_weights(self): + G = nx.Graph() + G.add_edge(1, 2, weight=math.pi) + G.add_edge(2, 3, weight=math.exp(1)) + G.add_edge(1, 3, weight=3.0) + G.add_edge(1, 4, weight=math.sqrt(2.0)) + assert edges_equal( + nx.max_weight_matching(G), matching_dict_to_set({1: 4, 2: 3, 3: 2, 4: 1}) + ) + assert edges_equal( + nx.min_weight_matching(G), matching_dict_to_set({1: 4, 2: 3, 3: 2, 4: 1}) + ) + + def test_negative_weights(self): + G = nx.Graph() + G.add_edge(1, 2, weight=2) + G.add_edge(1, 3, weight=-2) + G.add_edge(2, 3, weight=1) + G.add_edge(2, 4, weight=-1) + G.add_edge(3, 4, weight=-6) + assert edges_equal( + nx.max_weight_matching(G), matching_dict_to_set({1: 2, 2: 1}) + ) + assert edges_equal( + nx.max_weight_matching(G, maxcardinality=True), + matching_dict_to_set({1: 3, 2: 4, 3: 1, 4: 2}), + ) + assert edges_equal( + nx.min_weight_matching(G), matching_dict_to_set({1: 2, 3: 4}) + ) + + def test_s_blossom(self): + """Create S-blossom and use it for augmentation:""" + G = nx.Graph() + G.add_weighted_edges_from([(1, 2, 8), (1, 3, 9), (2, 3, 10), (3, 4, 7)]) + answer = matching_dict_to_set({1: 2, 2: 1, 3: 4, 4: 3}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + G.add_weighted_edges_from([(1, 6, 5), (4, 5, 6)]) + answer = matching_dict_to_set({1: 6, 2: 3, 3: 2, 4: 5, 5: 4, 6: 1}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_s_t_blossom(self): + """Create S-blossom, relabel as T-blossom, use for augmentation:""" + G = nx.Graph() + G.add_weighted_edges_from( + [(1, 2, 9), (1, 3, 8), (2, 3, 10), (1, 4, 5), (4, 5, 4), (1, 6, 3)] + ) + answer = matching_dict_to_set({1: 6, 2: 3, 3: 2, 4: 5, 5: 4, 6: 1}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + G.add_edge(4, 5, weight=3) + G.add_edge(1, 6, weight=4) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + G.remove_edge(1, 6) + G.add_edge(3, 6, weight=4) + answer = matching_dict_to_set({1: 2, 2: 1, 3: 6, 4: 5, 5: 4, 6: 3}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nested_s_blossom(self): + """Create nested S-blossom, use for augmentation:""" + + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 9), + (1, 3, 9), + (2, 3, 10), + (2, 4, 8), + (3, 5, 8), + (4, 5, 10), + (5, 6, 6), + ] + ) + dict_format = {1: 3, 2: 4, 3: 1, 4: 2, 5: 6, 6: 5} + expected = {frozenset(e) for e in matching_dict_to_set(dict_format)} + answer = {frozenset(e) for e in nx.max_weight_matching(G)} + assert answer == expected + answer = {frozenset(e) for e in nx.min_weight_matching(G)} + assert answer == expected + + def test_nested_s_blossom_relabel(self): + """Create S-blossom, relabel as S, include in nested S-blossom:""" + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 10), + (1, 7, 10), + (2, 3, 12), + (3, 4, 20), + (3, 5, 20), + (4, 5, 25), + (5, 6, 10), + (6, 7, 10), + (7, 8, 8), + ] + ) + answer = matching_dict_to_set({1: 2, 2: 1, 3: 4, 4: 3, 5: 6, 6: 5, 7: 8, 8: 7}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nested_s_blossom_expand(self): + """Create nested S-blossom, augment, expand recursively:""" + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 8), + (1, 3, 8), + (2, 3, 10), + (2, 4, 12), + (3, 5, 12), + (4, 5, 14), + (4, 6, 12), + (5, 7, 12), + (6, 7, 14), + (7, 8, 12), + ] + ) + answer = matching_dict_to_set({1: 2, 2: 1, 3: 5, 4: 6, 5: 3, 6: 4, 7: 8, 8: 7}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_s_blossom_relabel_expand(self): + """Create S-blossom, relabel as T, expand:""" + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 23), + (1, 5, 22), + (1, 6, 15), + (2, 3, 25), + (3, 4, 22), + (4, 5, 25), + (4, 8, 14), + (5, 7, 13), + ] + ) + answer = matching_dict_to_set({1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nested_s_blossom_relabel_expand(self): + """Create nested S-blossom, relabel as T, expand:""" + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 19), + (1, 3, 20), + (1, 8, 8), + (2, 3, 25), + (2, 4, 18), + (3, 5, 18), + (4, 5, 13), + (4, 7, 7), + (5, 6, 7), + ] + ) + answer = matching_dict_to_set({1: 8, 2: 3, 3: 2, 4: 7, 5: 6, 6: 5, 7: 4, 8: 1}) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nasty_blossom1(self): + """Create blossom, relabel as T in more than one way, expand, + augment: + """ + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 45), + (1, 5, 45), + (2, 3, 50), + (3, 4, 45), + (4, 5, 50), + (1, 6, 30), + (3, 9, 35), + (4, 8, 35), + (5, 7, 26), + (9, 10, 5), + ] + ) + ansdict = {1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4, 9: 10, 10: 9} + answer = matching_dict_to_set(ansdict) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nasty_blossom2(self): + """Again but slightly different:""" + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 45), + (1, 5, 45), + (2, 3, 50), + (3, 4, 45), + (4, 5, 50), + (1, 6, 30), + (3, 9, 35), + (4, 8, 26), + (5, 7, 40), + (9, 10, 5), + ] + ) + ans = {1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4, 9: 10, 10: 9} + answer = matching_dict_to_set(ans) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nasty_blossom_least_slack(self): + """Create blossom, relabel as T, expand such that a new + least-slack S-to-free dge is produced, augment: + """ + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 45), + (1, 5, 45), + (2, 3, 50), + (3, 4, 45), + (4, 5, 50), + (1, 6, 30), + (3, 9, 35), + (4, 8, 28), + (5, 7, 26), + (9, 10, 5), + ] + ) + ans = {1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4, 9: 10, 10: 9} + answer = matching_dict_to_set(ans) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nasty_blossom_augmenting(self): + """Create nested blossom, relabel as T in more than one way""" + # expand outer blossom such that inner blossom ends up on an + # augmenting path: + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 45), + (1, 7, 45), + (2, 3, 50), + (3, 4, 45), + (4, 5, 95), + (4, 6, 94), + (5, 6, 94), + (6, 7, 50), + (1, 8, 30), + (3, 11, 35), + (5, 9, 36), + (7, 10, 26), + (11, 12, 5), + ] + ) + ans = { + 1: 8, + 2: 3, + 3: 2, + 4: 6, + 5: 9, + 6: 4, + 7: 10, + 8: 1, + 9: 5, + 10: 7, + 11: 12, + 12: 11, + } + answer = matching_dict_to_set(ans) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_nasty_blossom_expand_recursively(self): + """Create nested S-blossom, relabel as S, expand recursively:""" + G = nx.Graph() + G.add_weighted_edges_from( + [ + (1, 2, 40), + (1, 3, 40), + (2, 3, 60), + (2, 4, 55), + (3, 5, 55), + (4, 5, 50), + (1, 8, 15), + (5, 7, 30), + (7, 6, 10), + (8, 10, 10), + (4, 9, 30), + ] + ) + ans = {1: 2, 2: 1, 3: 5, 4: 9, 5: 3, 6: 7, 7: 6, 8: 10, 9: 4, 10: 8} + answer = matching_dict_to_set(ans) + assert edges_equal(nx.max_weight_matching(G), answer) + assert edges_equal(nx.min_weight_matching(G), answer) + + def test_wrong_graph_type(self): + error = nx.NetworkXNotImplemented + raises(error, nx.max_weight_matching, nx.MultiGraph()) + raises(error, nx.max_weight_matching, nx.MultiDiGraph()) + raises(error, nx.max_weight_matching, nx.DiGraph()) + raises(error, nx.min_weight_matching, nx.DiGraph()) + + +class TestIsMatching: + """Unit tests for the + :func:`~networkx.algorithms.matching.is_matching` function. + + """ + + def test_dict(self): + G = nx.path_graph(4) + assert nx.is_matching(G, {0: 1, 1: 0, 2: 3, 3: 2}) + + def test_empty_matching(self): + G = nx.path_graph(4) + assert nx.is_matching(G, set()) + + def test_single_edge(self): + G = nx.path_graph(4) + assert nx.is_matching(G, {(1, 2)}) + + def test_edge_order(self): + G = nx.path_graph(4) + assert nx.is_matching(G, {(0, 1), (2, 3)}) + assert nx.is_matching(G, {(1, 0), (2, 3)}) + assert nx.is_matching(G, {(0, 1), (3, 2)}) + assert nx.is_matching(G, {(1, 0), (3, 2)}) + + def test_valid_matching(self): + G = nx.path_graph(4) + assert nx.is_matching(G, {(0, 1), (2, 3)}) + + def test_invalid_input(self): + error = nx.NetworkXError + G = nx.path_graph(4) + # edge to node not in G + raises(error, nx.is_matching, G, {(0, 5), (2, 3)}) + # edge not a 2-tuple + raises(error, nx.is_matching, G, {(0, 1, 2), (2, 3)}) + raises(error, nx.is_matching, G, {(0,), (2, 3)}) + + def test_selfloops(self): + error = nx.NetworkXError + G = nx.path_graph(4) + # selfloop for node not in G + raises(error, nx.is_matching, G, {(5, 5), (2, 3)}) + # selfloop edge not in G + assert not nx.is_matching(G, {(0, 0), (1, 2), (2, 3)}) + # selfloop edge in G + G.add_edge(0, 0) + assert not nx.is_matching(G, {(0, 0), (1, 2)}) + + def test_invalid_matching(self): + G = nx.path_graph(4) + assert not nx.is_matching(G, {(0, 1), (1, 2), (2, 3)}) + + def test_invalid_edge(self): + G = nx.path_graph(4) + assert not nx.is_matching(G, {(0, 3), (1, 2)}) + raises(nx.NetworkXError, nx.is_matching, G, {(0, 55)}) + + G = nx.DiGraph(G.edges) + assert nx.is_matching(G, {(0, 1)}) + assert not nx.is_matching(G, {(1, 0)}) + + +class TestIsMaximalMatching: + """Unit tests for the + :func:`~networkx.algorithms.matching.is_maximal_matching` function. + + """ + + def test_dict(self): + G = nx.path_graph(4) + assert nx.is_maximal_matching(G, {0: 1, 1: 0, 2: 3, 3: 2}) + + def test_invalid_input(self): + error = nx.NetworkXError + G = nx.path_graph(4) + # edge to node not in G + raises(error, nx.is_maximal_matching, G, {(0, 5)}) + raises(error, nx.is_maximal_matching, G, {(5, 0)}) + # edge not a 2-tuple + raises(error, nx.is_maximal_matching, G, {(0, 1, 2), (2, 3)}) + raises(error, nx.is_maximal_matching, G, {(0,), (2, 3)}) + + def test_valid(self): + G = nx.path_graph(4) + assert nx.is_maximal_matching(G, {(0, 1), (2, 3)}) + + def test_not_matching(self): + G = nx.path_graph(4) + assert not nx.is_maximal_matching(G, {(0, 1), (1, 2), (2, 3)}) + assert not nx.is_maximal_matching(G, {(0, 3)}) + G.add_edge(0, 0) + assert not nx.is_maximal_matching(G, {(0, 0)}) + + def test_not_maximal(self): + G = nx.path_graph(4) + assert not nx.is_maximal_matching(G, {(0, 1)}) + + +class TestIsPerfectMatching: + """Unit tests for the + :func:`~networkx.algorithms.matching.is_perfect_matching` function. + + """ + + def test_dict(self): + G = nx.path_graph(4) + assert nx.is_perfect_matching(G, {0: 1, 1: 0, 2: 3, 3: 2}) + + def test_valid(self): + G = nx.path_graph(4) + assert nx.is_perfect_matching(G, {(0, 1), (2, 3)}) + + def test_valid_not_path(self): + G = nx.cycle_graph(4) + G.add_edge(0, 4) + G.add_edge(1, 4) + G.add_edge(5, 2) + + assert nx.is_perfect_matching(G, {(1, 4), (0, 3), (5, 2)}) + + def test_invalid_input(self): + error = nx.NetworkXError + G = nx.path_graph(4) + # edge to node not in G + raises(error, nx.is_perfect_matching, G, {(0, 5)}) + raises(error, nx.is_perfect_matching, G, {(5, 0)}) + # edge not a 2-tuple + raises(error, nx.is_perfect_matching, G, {(0, 1, 2), (2, 3)}) + raises(error, nx.is_perfect_matching, G, {(0,), (2, 3)}) + + def test_selfloops(self): + error = nx.NetworkXError + G = nx.path_graph(4) + # selfloop for node not in G + raises(error, nx.is_perfect_matching, G, {(5, 5), (2, 3)}) + # selfloop edge not in G + assert not nx.is_perfect_matching(G, {(0, 0), (1, 2), (2, 3)}) + # selfloop edge in G + G.add_edge(0, 0) + assert not nx.is_perfect_matching(G, {(0, 0), (1, 2)}) + + def test_not_matching(self): + G = nx.path_graph(4) + assert not nx.is_perfect_matching(G, {(0, 3)}) + assert not nx.is_perfect_matching(G, {(0, 1), (1, 2), (2, 3)}) + + def test_maximal_but_not_perfect(self): + G = nx.cycle_graph(4) + G.add_edge(0, 4) + G.add_edge(1, 4) + + assert not nx.is_perfect_matching(G, {(1, 4), (0, 3)}) + + +class TestMaximalMatching: + """Unit tests for the + :func:`~networkx.algorithms.matching.maximal_matching`. + + """ + + def test_valid_matching(self): + edges = [(1, 2), (1, 5), (2, 3), (2, 5), (3, 4), (3, 6), (5, 6)] + G = nx.Graph(edges) + matching = nx.maximal_matching(G) + assert nx.is_maximal_matching(G, matching) + + def test_single_edge_matching(self): + # In the star graph, any maximal matching has just one edge. + G = nx.star_graph(5) + matching = nx.maximal_matching(G) + assert 1 == len(matching) + assert nx.is_maximal_matching(G, matching) + + def test_self_loops(self): + # Create the path graph with two self-loops. + G = nx.path_graph(3) + G.add_edges_from([(0, 0), (1, 1)]) + matching = nx.maximal_matching(G) + assert len(matching) == 1 + # The matching should never include self-loops. + assert not any(u == v for u, v in matching) + assert nx.is_maximal_matching(G, matching) + + def test_ordering(self): + """Tests that a maximal matching is computed correctly + regardless of the order in which nodes are added to the graph. + + """ + for nodes in permutations(range(3)): + G = nx.Graph() + G.add_nodes_from(nodes) + G.add_edges_from([(0, 1), (0, 2)]) + matching = nx.maximal_matching(G) + assert len(matching) == 1 + assert nx.is_maximal_matching(G, matching) + + def test_wrong_graph_type(self): + error = nx.NetworkXNotImplemented + raises(error, nx.maximal_matching, nx.MultiGraph()) + raises(error, nx.maximal_matching, nx.MultiDiGraph()) + raises(error, nx.maximal_matching, nx.DiGraph()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_max_weight_clique.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_max_weight_clique.py new file mode 100644 index 0000000000000000000000000000000000000000..6cd8584ebd5c2ab04741234018a976472a92ef91 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_max_weight_clique.py @@ -0,0 +1,179 @@ +"""Maximum weight clique test suite.""" + +import pytest + +import networkx as nx + + +class TestMaximumWeightClique: + def test_basic_cases(self): + def check_basic_case(graph_func, expected_weight, weight_accessor): + graph = graph_func() + clique, weight = nx.algorithms.max_weight_clique(graph, weight_accessor) + assert verify_clique( + graph, clique, weight, expected_weight, weight_accessor + ) + + for graph_func, (expected_weight, expected_size) in TEST_CASES.items(): + check_basic_case(graph_func, expected_weight, "weight") + check_basic_case(graph_func, expected_size, None) + + def test_key_error(self): + graph = two_node_graph() + with pytest.raises(KeyError): + nx.algorithms.max_weight_clique(graph, "nonexistent-key") + + def test_error_on_non_integer_weight(self): + graph = two_node_graph() + graph.nodes[2]["weight"] = 1.5 + with pytest.raises(ValueError): + nx.algorithms.max_weight_clique(graph) + + def test_unaffected_by_self_loops(self): + graph = two_node_graph() + graph.add_edge(1, 1) + graph.add_edge(2, 2) + clique, weight = nx.algorithms.max_weight_clique(graph, "weight") + assert verify_clique(graph, clique, weight, 30, "weight") + graph = three_node_independent_set() + graph.add_edge(1, 1) + clique, weight = nx.algorithms.max_weight_clique(graph, "weight") + assert verify_clique(graph, clique, weight, 20, "weight") + + def test_30_node_prob(self): + G = nx.Graph() + G.add_nodes_from(range(1, 31)) + for i in range(1, 31): + G.nodes[i]["weight"] = i + 1 + # fmt: off + G.add_edges_from( + [ + (1, 12), (1, 13), (1, 15), (1, 16), (1, 18), (1, 19), (1, 20), + (1, 23), (1, 26), (1, 28), (1, 29), (1, 30), (2, 3), (2, 4), + (2, 5), (2, 8), (2, 9), (2, 10), (2, 14), (2, 17), (2, 18), + (2, 21), (2, 22), (2, 23), (2, 27), (3, 9), (3, 15), (3, 21), + (3, 22), (3, 23), (3, 24), (3, 27), (3, 28), (3, 29), (4, 5), + (4, 6), (4, 8), (4, 21), (4, 22), (4, 23), (4, 26), (4, 28), + (4, 30), (5, 6), (5, 8), (5, 9), (5, 13), (5, 14), (5, 15), + (5, 16), (5, 20), (5, 21), (5, 22), (5, 25), (5, 28), (5, 29), + (6, 7), (6, 8), (6, 13), (6, 17), (6, 18), (6, 19), (6, 24), + (6, 26), (6, 27), (6, 28), (6, 29), (7, 12), (7, 14), (7, 15), + (7, 16), (7, 17), (7, 20), (7, 25), (7, 27), (7, 29), (7, 30), + (8, 10), (8, 15), (8, 16), (8, 18), (8, 20), (8, 22), (8, 24), + (8, 26), (8, 27), (8, 28), (8, 30), (9, 11), (9, 12), (9, 13), + (9, 14), (9, 15), (9, 16), (9, 19), (9, 20), (9, 21), (9, 24), + (9, 30), (10, 12), (10, 15), (10, 18), (10, 19), (10, 20), + (10, 22), (10, 23), (10, 24), (10, 26), (10, 27), (10, 29), + (10, 30), (11, 13), (11, 15), (11, 16), (11, 17), (11, 18), + (11, 19), (11, 20), (11, 22), (11, 29), (11, 30), (12, 14), + (12, 17), (12, 18), (12, 19), (12, 20), (12, 21), (12, 23), + (12, 25), (12, 26), (12, 30), (13, 20), (13, 22), (13, 23), + (13, 24), (13, 30), (14, 16), (14, 20), (14, 21), (14, 22), + (14, 23), (14, 25), (14, 26), (14, 27), (14, 29), (14, 30), + (15, 17), (15, 18), (15, 20), (15, 21), (15, 26), (15, 27), + (15, 28), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), + (16, 29), (16, 30), (17, 18), (17, 21), (17, 22), (17, 25), + (17, 27), (17, 28), (17, 30), (18, 19), (18, 20), (18, 21), + (18, 22), (18, 23), (18, 24), (19, 20), (19, 22), (19, 23), + (19, 24), (19, 25), (19, 27), (19, 30), (20, 21), (20, 23), + (20, 24), (20, 26), (20, 28), (20, 29), (21, 23), (21, 26), + (21, 27), (21, 29), (22, 24), (22, 25), (22, 26), (22, 29), + (23, 25), (23, 30), (24, 25), (24, 26), (25, 27), (25, 29), + (26, 27), (26, 28), (26, 30), (28, 29), (29, 30), + ] + ) + # fmt: on + clique, weight = nx.algorithms.max_weight_clique(G) + assert verify_clique(G, clique, weight, 111, "weight") + + +# ############################ Utility functions ############################ +def verify_clique( + graph, clique, reported_clique_weight, expected_clique_weight, weight_accessor +): + for node1 in clique: + for node2 in clique: + if node1 == node2: + continue + if not graph.has_edge(node1, node2): + return False + + if weight_accessor is None: + clique_weight = len(clique) + else: + clique_weight = sum(graph.nodes[v]["weight"] for v in clique) + + if clique_weight != expected_clique_weight: + return False + if clique_weight != reported_clique_weight: + return False + + return True + + +# ############################ Graph Generation ############################ + + +def empty_graph(): + return nx.Graph() + + +def one_node_graph(): + graph = nx.Graph() + graph.add_nodes_from([1]) + graph.nodes[1]["weight"] = 10 + return graph + + +def two_node_graph(): + graph = nx.Graph() + graph.add_nodes_from([1, 2]) + graph.add_edges_from([(1, 2)]) + graph.nodes[1]["weight"] = 10 + graph.nodes[2]["weight"] = 20 + return graph + + +def three_node_clique(): + graph = nx.Graph() + graph.add_nodes_from([1, 2, 3]) + graph.add_edges_from([(1, 2), (1, 3), (2, 3)]) + graph.nodes[1]["weight"] = 10 + graph.nodes[2]["weight"] = 20 + graph.nodes[3]["weight"] = 5 + return graph + + +def three_node_independent_set(): + graph = nx.Graph() + graph.add_nodes_from([1, 2, 3]) + graph.nodes[1]["weight"] = 10 + graph.nodes[2]["weight"] = 20 + graph.nodes[3]["weight"] = 5 + return graph + + +def disconnected(): + graph = nx.Graph() + graph.add_edges_from([(1, 2), (2, 3), (4, 5), (5, 6)]) + graph.nodes[1]["weight"] = 10 + graph.nodes[2]["weight"] = 20 + graph.nodes[3]["weight"] = 5 + graph.nodes[4]["weight"] = 100 + graph.nodes[5]["weight"] = 200 + graph.nodes[6]["weight"] = 50 + return graph + + +# -------------------------------------------------------------------------- +# Basic tests for all strategies +# For each basic graph function, specify expected weight of max weight clique +# and expected size of maximum clique +TEST_CASES = { + empty_graph: (0, 0), + one_node_graph: (10, 1), + two_node_graph: (30, 2), + three_node_clique: (35, 3), + three_node_independent_set: (20, 1), + disconnected: (300, 2), +} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_mis.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_mis.py new file mode 100644 index 0000000000000000000000000000000000000000..02be02d4c33f233d27d2838e5e3d361c4212c40b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_mis.py @@ -0,0 +1,62 @@ +""" +Tests for maximal (not maximum) independent sets. + +""" + +import random + +import pytest + +import networkx as nx + + +def test_random_seed(): + G = nx.empty_graph(5) + assert nx.maximal_independent_set(G, seed=1) == [1, 0, 3, 2, 4] + + +@pytest.mark.parametrize("graph", [nx.complete_graph(5), nx.complete_graph(55)]) +def test_K5(graph): + """Maximal independent set for complete graphs""" + assert all(nx.maximal_independent_set(graph, [n]) == [n] for n in graph) + + +def test_exceptions(): + """Bad input should raise exception.""" + G = nx.florentine_families_graph() + pytest.raises(nx.NetworkXUnfeasible, nx.maximal_independent_set, G, ["Smith"]) + pytest.raises( + nx.NetworkXUnfeasible, nx.maximal_independent_set, G, ["Salviati", "Pazzi"] + ) + # MaximalIndependentSet is not implemented for directed graphs + pytest.raises(nx.NetworkXNotImplemented, nx.maximal_independent_set, nx.DiGraph(G)) + + +def test_florentine_family(): + G = nx.florentine_families_graph() + indep = nx.maximal_independent_set(G, ["Medici", "Bischeri"]) + assert set(indep) == { + "Medici", + "Bischeri", + "Castellani", + "Pazzi", + "Ginori", + "Lamberteschi", + } + + +def test_bipartite(): + G = nx.complete_bipartite_graph(12, 34) + indep = nx.maximal_independent_set(G, [4, 5, 9, 10]) + assert sorted(indep) == list(range(12)) + + +def test_random_graphs(): + """Generate 5 random graphs of different types and sizes and + make sure that all sets are independent and maximal.""" + for i in range(0, 50, 10): + G = nx.erdos_renyi_graph(i * 10 + 1, random.random()) + IS = nx.maximal_independent_set(G) + assert G.subgraph(IS).number_of_edges() == 0 + nbrs_of_MIS = set.union(*(set(G.neighbors(v)) for v in IS)) + assert all(v in nbrs_of_MIS for v in set(G.nodes()).difference(IS)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_moral.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_moral.py new file mode 100644 index 0000000000000000000000000000000000000000..fc98c9729a95897857013ae22333e3b8c17202fb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_moral.py @@ -0,0 +1,15 @@ +import networkx as nx +from networkx.algorithms.moral import moral_graph + + +def test_get_moral_graph(): + graph = nx.DiGraph() + graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7]) + graph.add_edges_from([(1, 2), (3, 2), (4, 1), (4, 5), (6, 5), (7, 5)]) + H = moral_graph(graph) + assert not H.is_directed() + assert H.has_edge(1, 3) + assert H.has_edge(4, 6) + assert H.has_edge(6, 7) + assert H.has_edge(4, 7) + assert not H.has_edge(1, 5) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_node_classification.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_node_classification.py new file mode 100644 index 0000000000000000000000000000000000000000..2e1fc79d48ae830625c3528f52e805d2e0d183ad --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_node_classification.py @@ -0,0 +1,140 @@ +import pytest + +pytest.importorskip("numpy") +pytest.importorskip("scipy") + +import networkx as nx +from networkx.algorithms import node_classification + + +class TestHarmonicFunction: + def test_path_graph(self): + G = nx.path_graph(4) + label_name = "label" + G.nodes[0][label_name] = "A" + G.nodes[3][label_name] = "B" + predicted = node_classification.harmonic_function(G, label_name=label_name) + assert predicted[0] == "A" + assert predicted[1] == "A" + assert predicted[2] == "B" + assert predicted[3] == "B" + + def test_no_labels(self): + with pytest.raises(nx.NetworkXError): + G = nx.path_graph(4) + node_classification.harmonic_function(G) + + def test_no_nodes(self): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + node_classification.harmonic_function(G) + + def test_no_edges(self): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + G.add_node(1) + G.add_node(2) + node_classification.harmonic_function(G) + + def test_digraph(self): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.DiGraph() + G.add_edge(0, 1) + G.add_edge(1, 2) + G.add_edge(2, 3) + label_name = "label" + G.nodes[0][label_name] = "A" + G.nodes[3][label_name] = "B" + node_classification.harmonic_function(G) + + def test_one_labeled_node(self): + G = nx.path_graph(4) + label_name = "label" + G.nodes[0][label_name] = "A" + predicted = node_classification.harmonic_function(G, label_name=label_name) + assert predicted[0] == "A" + assert predicted[1] == "A" + assert predicted[2] == "A" + assert predicted[3] == "A" + + def test_nodes_all_labeled(self): + G = nx.karate_club_graph() + label_name = "club" + predicted = node_classification.harmonic_function(G, label_name=label_name) + for i in range(len(G)): + assert predicted[i] == G.nodes[i][label_name] + + def test_labeled_nodes_are_not_changed(self): + G = nx.karate_club_graph() + label_name = "club" + label_removed = {0, 1, 2, 3, 4, 5, 6, 7} + for i in label_removed: + del G.nodes[i][label_name] + predicted = node_classification.harmonic_function(G, label_name=label_name) + label_not_removed = set(range(len(G))) - label_removed + for i in label_not_removed: + assert predicted[i] == G.nodes[i][label_name] + + +class TestLocalAndGlobalConsistency: + def test_path_graph(self): + G = nx.path_graph(4) + label_name = "label" + G.nodes[0][label_name] = "A" + G.nodes[3][label_name] = "B" + predicted = node_classification.local_and_global_consistency( + G, label_name=label_name + ) + assert predicted[0] == "A" + assert predicted[1] == "A" + assert predicted[2] == "B" + assert predicted[3] == "B" + + def test_no_labels(self): + with pytest.raises(nx.NetworkXError): + G = nx.path_graph(4) + node_classification.local_and_global_consistency(G) + + def test_no_nodes(self): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + node_classification.local_and_global_consistency(G) + + def test_no_edges(self): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + G.add_node(1) + G.add_node(2) + node_classification.local_and_global_consistency(G) + + def test_digraph(self): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.DiGraph() + G.add_edge(0, 1) + G.add_edge(1, 2) + G.add_edge(2, 3) + label_name = "label" + G.nodes[0][label_name] = "A" + G.nodes[3][label_name] = "B" + node_classification.harmonic_function(G) + + def test_one_labeled_node(self): + G = nx.path_graph(4) + label_name = "label" + G.nodes[0][label_name] = "A" + predicted = node_classification.local_and_global_consistency( + G, label_name=label_name + ) + assert predicted[0] == "A" + assert predicted[1] == "A" + assert predicted[2] == "A" + assert predicted[3] == "A" + + def test_nodes_all_labeled(self): + G = nx.karate_club_graph() + label_name = "club" + predicted = node_classification.local_and_global_consistency( + G, alpha=0, label_name=label_name + ) + for i in range(len(G)): + assert predicted[i] == G.nodes[i][label_name] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_non_randomness.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_non_randomness.py new file mode 100644 index 0000000000000000000000000000000000000000..2f495be28d57db2368b9412e93e1d137f2cac86b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_non_randomness.py @@ -0,0 +1,42 @@ +import pytest + +import networkx as nx + +np = pytest.importorskip("numpy") + + +@pytest.mark.parametrize( + "k, weight, expected", + [ + (None, None, 7.21), # infers 3 communities + (2, None, 11.7), + (None, "weight", 25.45), + (2, "weight", 38.8), + ], +) +def test_non_randomness(k, weight, expected): + G = nx.karate_club_graph() + np.testing.assert_almost_equal( + nx.non_randomness(G, k, weight)[0], expected, decimal=2 + ) + + +def test_non_connected(): + G = nx.Graph([(1, 2)]) + G.add_node(3) + with pytest.raises(nx.NetworkXException, match="Non connected"): + nx.non_randomness(G) + + +def test_self_loops(): + G = nx.Graph() + G.add_edge(1, 2) + G.add_edge(1, 1) + with pytest.raises(nx.NetworkXError, match="Graph must not contain self-loops"): + nx.non_randomness(G) + + +def test_empty_graph(): + G = nx.empty_graph(1) + with pytest.raises(nx.NetworkXError, match=".*not applicable to empty graphs"): + nx.non_randomness(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_planar_drawing.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_planar_drawing.py new file mode 100644 index 0000000000000000000000000000000000000000..a5de0e0324c49ab2e194a9d25ca712c2de1e4947 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_planar_drawing.py @@ -0,0 +1,274 @@ +import math + +import pytest + +import networkx as nx +from networkx.algorithms.planar_drawing import triangulate_embedding + + +def test_graph1(): + embedding_data = {0: [1, 2, 3], 1: [2, 0], 2: [3, 0, 1], 3: [2, 0]} + check_embedding_data(embedding_data) + + +def test_graph2(): + embedding_data = { + 0: [8, 6], + 1: [2, 6, 9], + 2: [8, 1, 7, 9, 6, 4], + 3: [9], + 4: [2], + 5: [6, 8], + 6: [9, 1, 0, 5, 2], + 7: [9, 2], + 8: [0, 2, 5], + 9: [1, 6, 2, 7, 3], + } + check_embedding_data(embedding_data) + + +def test_circle_graph(): + embedding_data = { + 0: [1, 9], + 1: [0, 2], + 2: [1, 3], + 3: [2, 4], + 4: [3, 5], + 5: [4, 6], + 6: [5, 7], + 7: [6, 8], + 8: [7, 9], + 9: [8, 0], + } + check_embedding_data(embedding_data) + + +def test_grid_graph(): + embedding_data = { + (0, 1): [(0, 0), (1, 1), (0, 2)], + (1, 2): [(1, 1), (2, 2), (0, 2)], + (0, 0): [(0, 1), (1, 0)], + (2, 1): [(2, 0), (2, 2), (1, 1)], + (1, 1): [(2, 1), (1, 2), (0, 1), (1, 0)], + (2, 0): [(1, 0), (2, 1)], + (2, 2): [(1, 2), (2, 1)], + (1, 0): [(0, 0), (2, 0), (1, 1)], + (0, 2): [(1, 2), (0, 1)], + } + check_embedding_data(embedding_data) + + +def test_one_node_graph(): + embedding_data = {0: []} + check_embedding_data(embedding_data) + + +def test_two_node_graph(): + embedding_data = {0: [1], 1: [0]} + check_embedding_data(embedding_data) + + +def test_three_node_graph(): + embedding_data = {0: [1, 2], 1: [0, 2], 2: [0, 1]} + check_embedding_data(embedding_data) + + +def test_multiple_component_graph1(): + embedding_data = {0: [], 1: []} + check_embedding_data(embedding_data) + + +def test_multiple_component_graph2(): + embedding_data = {0: [1, 2], 1: [0, 2], 2: [0, 1], 3: [4, 5], 4: [3, 5], 5: [3, 4]} + check_embedding_data(embedding_data) + + +def test_invalid_half_edge(): + with pytest.raises(nx.NetworkXException): + embedding_data = {1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2, 4], 4: [1, 2, 3]} + embedding = nx.PlanarEmbedding() + embedding.set_data(embedding_data) + nx.combinatorial_embedding_to_pos(embedding) + + +def test_triangulate_embedding1(): + embedding = nx.PlanarEmbedding() + embedding.add_node(1) + expected_embedding = {1: []} + check_triangulation(embedding, expected_embedding) + + +def test_triangulate_embedding2(): + embedding = nx.PlanarEmbedding() + embedding.connect_components(1, 2) + expected_embedding = {1: [2], 2: [1]} + check_triangulation(embedding, expected_embedding) + + +def check_triangulation(embedding, expected_embedding): + res_embedding, _ = triangulate_embedding(embedding, True) + assert ( + res_embedding.get_data() == expected_embedding + ), "Expected embedding incorrect" + res_embedding, _ = triangulate_embedding(embedding, False) + assert ( + res_embedding.get_data() == expected_embedding + ), "Expected embedding incorrect" + + +def check_embedding_data(embedding_data): + """Checks that the planar embedding of the input is correct""" + embedding = nx.PlanarEmbedding() + embedding.set_data(embedding_data) + pos_fully = nx.combinatorial_embedding_to_pos(embedding, False) + msg = "Planar drawing does not conform to the embedding (fully triangulation)" + assert planar_drawing_conforms_to_embedding(embedding, pos_fully), msg + check_edge_intersections(embedding, pos_fully) + pos_internally = nx.combinatorial_embedding_to_pos(embedding, True) + msg = "Planar drawing does not conform to the embedding (internal triangulation)" + assert planar_drawing_conforms_to_embedding(embedding, pos_internally), msg + check_edge_intersections(embedding, pos_internally) + + +def is_close(a, b, rel_tol=1e-09, abs_tol=0.0): + # Check if float numbers are basically equal, for python >=3.5 there is + # function for that in the standard library + return abs(a - b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol) + + +def point_in_between(a, b, p): + # checks if p is on the line between a and b + x1, y1 = a + x2, y2 = b + px, py = p + dist_1_2 = math.sqrt((x1 - x2) ** 2 + (y1 - y2) ** 2) + dist_1_p = math.sqrt((x1 - px) ** 2 + (y1 - py) ** 2) + dist_2_p = math.sqrt((x2 - px) ** 2 + (y2 - py) ** 2) + return is_close(dist_1_p + dist_2_p, dist_1_2) + + +def check_edge_intersections(G, pos): + """Check all edges in G for intersections. + + Raises an exception if an intersection is found. + + Parameters + ---------- + G : NetworkX graph + pos : dict + Maps every node to a tuple (x, y) representing its position + + """ + for a, b in G.edges(): + for c, d in G.edges(): + # Check if end points are different + if a != c and b != d and b != c and a != d: + x1, y1 = pos[a] + x2, y2 = pos[b] + x3, y3 = pos[c] + x4, y4 = pos[d] + determinant = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4) + if determinant != 0: # the lines are not parallel + # calculate intersection point, see: + # https://en.wikipedia.org/wiki/Line%E2%80%93line_intersection + px = (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * ( + x3 * y4 - y3 * x4 + ) / determinant + py = (x1 * y2 - y1 * x2) * (y3 - y4) - (y1 - y2) * ( + x3 * y4 - y3 * x4 + ) / determinant + + # Check if intersection lies between the points + if point_in_between(pos[a], pos[b], (px, py)) and point_in_between( + pos[c], pos[d], (px, py) + ): + msg = f"There is an intersection at {px},{py}" + raise nx.NetworkXException(msg) + + # Check overlap + msg = "A node lies on a edge connecting two other nodes" + if ( + point_in_between(pos[a], pos[b], pos[c]) + or point_in_between(pos[a], pos[b], pos[d]) + or point_in_between(pos[c], pos[d], pos[a]) + or point_in_between(pos[c], pos[d], pos[b]) + ): + raise nx.NetworkXException(msg) + # No edge intersection found + + +class Vector: + """Compare vectors by their angle without loss of precision + + All vectors in direction [0, 1] are the smallest. + The vectors grow in clockwise direction. + """ + + __slots__ = ["x", "y", "node", "quadrant"] + + def __init__(self, x, y, node): + self.x = x + self.y = y + self.node = node + if self.x >= 0 and self.y > 0: + self.quadrant = 1 + elif self.x > 0 and self.y <= 0: + self.quadrant = 2 + elif self.x <= 0 and self.y < 0: + self.quadrant = 3 + else: + self.quadrant = 4 + + def __eq__(self, other): + return self.quadrant == other.quadrant and self.x * other.y == self.y * other.x + + def __lt__(self, other): + if self.quadrant < other.quadrant: + return True + elif self.quadrant > other.quadrant: + return False + else: + return self.x * other.y < self.y * other.x + + def __ne__(self, other): + return self != other + + def __le__(self, other): + return not other < self + + def __gt__(self, other): + return other < self + + def __ge__(self, other): + return not self < other + + +def planar_drawing_conforms_to_embedding(embedding, pos): + """Checks if pos conforms to the planar embedding + + Returns true iff the neighbors are actually oriented in the orientation + specified of the embedding + """ + for v in embedding: + nbr_vectors = [] + v_pos = pos[v] + for nbr in embedding[v]: + new_vector = Vector(pos[nbr][0] - v_pos[0], pos[nbr][1] - v_pos[1], nbr) + nbr_vectors.append(new_vector) + # Sort neighbors according to their phi angle + nbr_vectors.sort() + for idx, nbr_vector in enumerate(nbr_vectors): + cw_vector = nbr_vectors[(idx + 1) % len(nbr_vectors)] + ccw_vector = nbr_vectors[idx - 1] + if ( + embedding[v][nbr_vector.node]["cw"] != cw_vector.node + or embedding[v][nbr_vector.node]["ccw"] != ccw_vector.node + ): + return False + if cw_vector.node != nbr_vector.node and cw_vector == nbr_vector: + # Lines overlap + return False + if ccw_vector.node != nbr_vector.node and ccw_vector == nbr_vector: + # Lines overlap + return False + return True diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_planarity.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_planarity.py new file mode 100644 index 0000000000000000000000000000000000000000..99bcff4184a9d28b5d68c5787a4ca6664d78a9dd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_planarity.py @@ -0,0 +1,535 @@ +import pytest + +import networkx as nx +from networkx.algorithms.planarity import ( + check_planarity_recursive, + get_counterexample, + get_counterexample_recursive, +) + + +class TestLRPlanarity: + """Nose Unit tests for the :mod:`networkx.algorithms.planarity` module. + + Tests three things: + 1. Check that the result is correct + (returns planar if and only if the graph is actually planar) + 2. In case a counter example is returned: Check if it is correct + 3. In case an embedding is returned: Check if its actually an embedding + """ + + @staticmethod + def check_graph(G, is_planar=None): + """Raises an exception if the lr_planarity check returns a wrong result + + Parameters + ---------- + G : NetworkX graph + is_planar : bool + The expected result of the planarity check. + If set to None only counter example or embedding are verified. + + """ + + # obtain results of planarity check + is_planar_lr, result = nx.check_planarity(G, True) + is_planar_lr_rec, result_rec = check_planarity_recursive(G, True) + + if is_planar is not None: + # set a message for the assert + if is_planar: + msg = "Wrong planarity check result. Should be planar." + else: + msg = "Wrong planarity check result. Should be non-planar." + + # check if the result is as expected + assert is_planar == is_planar_lr, msg + assert is_planar == is_planar_lr_rec, msg + + if is_planar_lr: + # check embedding + check_embedding(G, result) + check_embedding(G, result_rec) + else: + # check counter example + check_counterexample(G, result) + check_counterexample(G, result_rec) + + def test_simple_planar_graph(self): + e = [ + (1, 2), + (2, 3), + (3, 4), + (4, 6), + (6, 7), + (7, 1), + (1, 5), + (5, 2), + (2, 4), + (4, 5), + (5, 7), + ] + self.check_graph(nx.Graph(e), is_planar=True) + + def test_planar_with_selfloop(self): + e = [ + (1, 1), + (2, 2), + (3, 3), + (4, 4), + (5, 5), + (1, 2), + (1, 3), + (1, 5), + (2, 5), + (2, 4), + (3, 4), + (3, 5), + (4, 5), + ] + self.check_graph(nx.Graph(e), is_planar=True) + + def test_k3_3(self): + self.check_graph(nx.complete_bipartite_graph(3, 3), is_planar=False) + + def test_k5(self): + self.check_graph(nx.complete_graph(5), is_planar=False) + + def test_multiple_components_planar(self): + e = [(1, 2), (2, 3), (3, 1), (4, 5), (5, 6), (6, 4)] + self.check_graph(nx.Graph(e), is_planar=True) + + def test_multiple_components_non_planar(self): + G = nx.complete_graph(5) + # add another planar component to the non planar component + # G stays non planar + G.add_edges_from([(6, 7), (7, 8), (8, 6)]) + self.check_graph(G, is_planar=False) + + def test_non_planar_with_selfloop(self): + G = nx.complete_graph(5) + # add self loops + for i in range(5): + G.add_edge(i, i) + self.check_graph(G, is_planar=False) + + def test_non_planar1(self): + # tests a graph that has no subgraph directly isomorph to K5 or K3_3 + e = [ + (1, 5), + (1, 6), + (1, 7), + (2, 6), + (2, 3), + (3, 5), + (3, 7), + (4, 5), + (4, 6), + (4, 7), + ] + self.check_graph(nx.Graph(e), is_planar=False) + + def test_loop(self): + # test a graph with a selfloop + e = [(1, 2), (2, 2)] + G = nx.Graph(e) + self.check_graph(G, is_planar=True) + + def test_comp(self): + # test multiple component graph + e = [(1, 2), (3, 4)] + G = nx.Graph(e) + G.remove_edge(1, 2) + self.check_graph(G, is_planar=True) + + def test_goldner_harary(self): + # test goldner-harary graph (a maximal planar graph) + e = [ + (1, 2), + (1, 3), + (1, 4), + (1, 5), + (1, 7), + (1, 8), + (1, 10), + (1, 11), + (2, 3), + (2, 4), + (2, 6), + (2, 7), + (2, 9), + (2, 10), + (2, 11), + (3, 4), + (4, 5), + (4, 6), + (4, 7), + (5, 7), + (6, 7), + (7, 8), + (7, 9), + (7, 10), + (8, 10), + (9, 10), + (10, 11), + ] + G = nx.Graph(e) + self.check_graph(G, is_planar=True) + + def test_planar_multigraph(self): + G = nx.MultiGraph([(1, 2), (1, 2), (1, 2), (1, 2), (2, 3), (3, 1)]) + self.check_graph(G, is_planar=True) + + def test_non_planar_multigraph(self): + G = nx.MultiGraph(nx.complete_graph(5)) + G.add_edges_from([(1, 2)] * 5) + self.check_graph(G, is_planar=False) + + def test_planar_digraph(self): + G = nx.DiGraph([(1, 2), (2, 3), (2, 4), (4, 1), (4, 2), (1, 4), (3, 2)]) + self.check_graph(G, is_planar=True) + + def test_non_planar_digraph(self): + G = nx.DiGraph(nx.complete_graph(5)) + G.remove_edge(1, 2) + G.remove_edge(4, 1) + self.check_graph(G, is_planar=False) + + def test_single_component(self): + # Test a graph with only a single node + G = nx.Graph() + G.add_node(1) + self.check_graph(G, is_planar=True) + + def test_graph1(self): + G = nx.Graph( + [ + (3, 10), + (2, 13), + (1, 13), + (7, 11), + (0, 8), + (8, 13), + (0, 2), + (0, 7), + (0, 10), + (1, 7), + ] + ) + self.check_graph(G, is_planar=True) + + def test_graph2(self): + G = nx.Graph( + [ + (1, 2), + (4, 13), + (0, 13), + (4, 5), + (7, 10), + (1, 7), + (0, 3), + (2, 6), + (5, 6), + (7, 13), + (4, 8), + (0, 8), + (0, 9), + (2, 13), + (6, 7), + (3, 6), + (2, 8), + ] + ) + self.check_graph(G, is_planar=False) + + def test_graph3(self): + G = nx.Graph( + [ + (0, 7), + (3, 11), + (3, 4), + (8, 9), + (4, 11), + (1, 7), + (1, 13), + (1, 11), + (3, 5), + (5, 7), + (1, 3), + (0, 4), + (5, 11), + (5, 13), + ] + ) + self.check_graph(G, is_planar=False) + + def test_counterexample_planar(self): + with pytest.raises(nx.NetworkXException): + # Try to get a counterexample of a planar graph + G = nx.Graph() + G.add_node(1) + get_counterexample(G) + + def test_counterexample_planar_recursive(self): + with pytest.raises(nx.NetworkXException): + # Try to get a counterexample of a planar graph + G = nx.Graph() + G.add_node(1) + get_counterexample_recursive(G) + + def test_edge_removal_from_planar_embedding(self): + # PlanarEmbedding.check_structure() must succeed after edge removal + edges = ((0, 1), (1, 2), (2, 3), (3, 4), (4, 0), (0, 2), (0, 3)) + G = nx.Graph(edges) + cert, P = nx.check_planarity(G) + assert cert is True + P.remove_edge(0, 2) + self.check_graph(P, is_planar=True) + P.add_half_edge_ccw(1, 3, 2) + P.add_half_edge_cw(3, 1, 2) + self.check_graph(P, is_planar=True) + P.remove_edges_from(((0, 3), (1, 3))) + self.check_graph(P, is_planar=True) + + +def check_embedding(G, embedding): + """Raises an exception if the combinatorial embedding is not correct + + Parameters + ---------- + G : NetworkX graph + embedding : a dict mapping nodes to a list of edges + This specifies the ordering of the outgoing edges from a node for + a combinatorial embedding + + Notes + ----- + Checks the following things: + - The type of the embedding is correct + - The nodes and edges match the original graph + - Every half edge has its matching opposite half edge + - No intersections of edges (checked by Euler's formula) + """ + + if not isinstance(embedding, nx.PlanarEmbedding): + raise nx.NetworkXException("Bad embedding. Not of type nx.PlanarEmbedding") + + # Check structure + embedding.check_structure() + + # Check that graphs are equivalent + + assert set(G.nodes) == set( + embedding.nodes + ), "Bad embedding. Nodes don't match the original graph." + + # Check that the edges are equal + g_edges = set() + for edge in G.edges: + if edge[0] != edge[1]: + g_edges.add((edge[0], edge[1])) + g_edges.add((edge[1], edge[0])) + assert g_edges == set( + embedding.edges + ), "Bad embedding. Edges don't match the original graph." + + +def check_counterexample(G, sub_graph): + """Raises an exception if the counterexample is wrong. + + Parameters + ---------- + G : NetworkX graph + subdivision_nodes : set + A set of nodes inducing a subgraph as a counterexample + """ + # 1. Create the sub graph + sub_graph = nx.Graph(sub_graph) + + # 2. Remove self loops + for u in sub_graph: + if sub_graph.has_edge(u, u): + sub_graph.remove_edge(u, u) + + # keep track of nodes we might need to contract + contract = list(sub_graph) + + # 3. Contract Edges + while len(contract) > 0: + contract_node = contract.pop() + if contract_node not in sub_graph: + # Node was already contracted + continue + degree = sub_graph.degree[contract_node] + # Check if we can remove the node + if degree == 2: + # Get the two neighbors + neighbors = iter(sub_graph[contract_node]) + u = next(neighbors) + v = next(neighbors) + # Save nodes for later + contract.append(u) + contract.append(v) + # Contract edge + sub_graph.remove_node(contract_node) + sub_graph.add_edge(u, v) + + # 4. Check for isomorphism with K5 or K3_3 graphs + if len(sub_graph) == 5: + if not nx.is_isomorphic(nx.complete_graph(5), sub_graph): + raise nx.NetworkXException("Bad counter example.") + elif len(sub_graph) == 6: + if not nx.is_isomorphic(nx.complete_bipartite_graph(3, 3), sub_graph): + raise nx.NetworkXException("Bad counter example.") + else: + raise nx.NetworkXException("Bad counter example.") + + +class TestPlanarEmbeddingClass: + def test_add_half_edge(self): + embedding = nx.PlanarEmbedding() + embedding.add_half_edge(0, 1) + with pytest.raises( + nx.NetworkXException, match="Invalid clockwise reference node." + ): + embedding.add_half_edge(0, 2, cw=3) + with pytest.raises( + nx.NetworkXException, match="Invalid counterclockwise reference node." + ): + embedding.add_half_edge(0, 2, ccw=3) + with pytest.raises( + nx.NetworkXException, match="Only one of cw/ccw can be specified." + ): + embedding.add_half_edge(0, 2, cw=1, ccw=1) + with pytest.raises( + nx.NetworkXException, + match=( + r"Node already has out-half-edge\(s\), either" + " cw or ccw reference node required." + ), + ): + embedding.add_half_edge(0, 2) + # these should work + embedding.add_half_edge(0, 2, cw=1) + embedding.add_half_edge(0, 3, ccw=1) + assert sorted(embedding.edges(data=True)) == [ + (0, 1, {"ccw": 2, "cw": 3}), + (0, 2, {"cw": 1, "ccw": 3}), + (0, 3, {"cw": 2, "ccw": 1}), + ] + + def test_get_data(self): + embedding = self.get_star_embedding(4) + data = embedding.get_data() + data_cmp = {0: [3, 2, 1], 1: [0], 2: [0], 3: [0]} + assert data == data_cmp + + def test_edge_removal(self): + embedding = nx.PlanarEmbedding() + embedding.set_data( + { + 1: [2, 5, 7], + 2: [1, 3, 4, 5], + 3: [2, 4], + 4: [3, 6, 5, 2], + 5: [7, 1, 2, 4], + 6: [4, 7], + 7: [6, 1, 5], + } + ) + # remove_edges_from() calls remove_edge(), so both are tested here + embedding.remove_edges_from(((5, 4), (1, 5))) + embedding.check_structure() + embedding_expected = nx.PlanarEmbedding() + embedding_expected.set_data( + { + 1: [2, 7], + 2: [1, 3, 4, 5], + 3: [2, 4], + 4: [3, 6, 2], + 5: [7, 2], + 6: [4, 7], + 7: [6, 1, 5], + } + ) + assert nx.utils.graphs_equal(embedding, embedding_expected) + + def test_missing_edge_orientation(self): + embedding = nx.PlanarEmbedding({1: {2: {}}, 2: {1: {}}}) + with pytest.raises(nx.NetworkXException): + # Invalid structure because the orientation of the edge was not set + embedding.check_structure() + + def test_invalid_edge_orientation(self): + embedding = nx.PlanarEmbedding( + { + 1: {2: {"cw": 2, "ccw": 2}}, + 2: {1: {"cw": 1, "ccw": 1}}, + 1: {3: {}}, + 3: {1: {}}, + } + ) + with pytest.raises(nx.NetworkXException): + embedding.check_structure() + + def test_missing_half_edge(self): + embedding = nx.PlanarEmbedding() + embedding.add_half_edge(1, 2) + with pytest.raises(nx.NetworkXException): + # Invalid structure because other half edge is missing + embedding.check_structure() + + def test_not_fulfilling_euler_formula(self): + embedding = nx.PlanarEmbedding() + for i in range(5): + ref = None + for j in range(5): + if i != j: + embedding.add_half_edge(i, j, cw=ref) + ref = j + with pytest.raises(nx.NetworkXException): + embedding.check_structure() + + def test_missing_reference(self): + embedding = nx.PlanarEmbedding() + with pytest.raises(nx.NetworkXException, match="Invalid reference node."): + embedding.add_half_edge(1, 2, ccw=3) + + def test_connect_components(self): + embedding = nx.PlanarEmbedding() + embedding.connect_components(1, 2) + + def test_successful_face_traversal(self): + embedding = nx.PlanarEmbedding() + embedding.add_half_edge(1, 2) + embedding.add_half_edge(2, 1) + face = embedding.traverse_face(1, 2) + assert face == [1, 2] + + def test_unsuccessful_face_traversal(self): + embedding = nx.PlanarEmbedding( + {1: {2: {"cw": 3, "ccw": 2}}, 2: {1: {"cw": 3, "ccw": 1}}} + ) + with pytest.raises(nx.NetworkXException): + embedding.traverse_face(1, 2) + + def test_forbidden_methods(self): + embedding = nx.PlanarEmbedding() + embedding.add_node(42) # no exception + embedding.add_nodes_from([(23, 24)]) # no exception + with pytest.raises(NotImplementedError): + embedding.add_edge(1, 3) + with pytest.raises(NotImplementedError): + embedding.add_edges_from([(0, 2), (1, 4)]) + with pytest.raises(NotImplementedError): + embedding.add_weighted_edges_from([(0, 2, 350), (1, 4, 125)]) + + @staticmethod + def get_star_embedding(n): + embedding = nx.PlanarEmbedding() + ref = None + for i in range(1, n): + embedding.add_half_edge(0, i, cw=ref) + ref = i + embedding.add_half_edge(i, 0) + return embedding diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_polynomials.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_polynomials.py new file mode 100644 index 0000000000000000000000000000000000000000..a81d6a69551ead74d3335fda408111a0b580bf6a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_polynomials.py @@ -0,0 +1,57 @@ +"""Unit tests for the :mod:`networkx.algorithms.polynomials` module.""" + +import pytest + +import networkx as nx + +sympy = pytest.importorskip("sympy") + + +# Mapping of input graphs to a string representation of their tutte polynomials +_test_tutte_graphs = { + nx.complete_graph(1): "1", + nx.complete_graph(4): "x**3 + 3*x**2 + 4*x*y + 2*x + y**3 + 3*y**2 + 2*y", + nx.cycle_graph(5): "x**4 + x**3 + x**2 + x + y", + nx.diamond_graph(): "x**3 + 2*x**2 + 2*x*y + x + y**2 + y", +} + +_test_chromatic_graphs = { + nx.complete_graph(1): "x", + nx.complete_graph(4): "x**4 - 6*x**3 + 11*x**2 - 6*x", + nx.cycle_graph(5): "x**5 - 5*x**4 + 10*x**3 - 10*x**2 + 4*x", + nx.diamond_graph(): "x**4 - 5*x**3 + 8*x**2 - 4*x", + nx.path_graph(5): "x**5 - 4*x**4 + 6*x**3 - 4*x**2 + x", +} + + +@pytest.mark.parametrize(("G", "expected"), _test_tutte_graphs.items()) +def test_tutte_polynomial(G, expected): + assert nx.tutte_polynomial(G).equals(expected) + + +@pytest.mark.parametrize("G", _test_tutte_graphs.keys()) +def test_tutte_polynomial_disjoint(G): + """Tutte polynomial factors into the Tutte polynomials of its components. + Verify this property with the disjoint union of two copies of the input graph. + """ + t_g = nx.tutte_polynomial(G) + H = nx.disjoint_union(G, G) + t_h = nx.tutte_polynomial(H) + assert sympy.simplify(t_g * t_g).equals(t_h) + + +@pytest.mark.parametrize(("G", "expected"), _test_chromatic_graphs.items()) +def test_chromatic_polynomial(G, expected): + assert nx.chromatic_polynomial(G).equals(expected) + + +@pytest.mark.parametrize("G", _test_chromatic_graphs.keys()) +def test_chromatic_polynomial_disjoint(G): + """Chromatic polynomial factors into the Chromatic polynomials of its + components. Verify this property with the disjoint union of two copies of + the input graph. + """ + x_g = nx.chromatic_polynomial(G) + H = nx.disjoint_union(G, G) + x_h = nx.chromatic_polynomial(H) + assert sympy.simplify(x_g * x_g).equals(x_h) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_reciprocity.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_reciprocity.py new file mode 100644 index 0000000000000000000000000000000000000000..e713bc4303f9bfea1199f01d8369c6bdab1a221f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_reciprocity.py @@ -0,0 +1,37 @@ +import pytest + +import networkx as nx + + +class TestReciprocity: + # test overall reciprocity by passing whole graph + def test_reciprocity_digraph(self): + DG = nx.DiGraph([(1, 2), (2, 1)]) + reciprocity = nx.reciprocity(DG) + assert reciprocity == 1.0 + + # test empty graph's overall reciprocity which will throw an error + def test_overall_reciprocity_empty_graph(self): + with pytest.raises(nx.NetworkXError): + DG = nx.DiGraph() + nx.overall_reciprocity(DG) + + # test for reciprocity for a list of nodes + def test_reciprocity_graph_nodes(self): + DG = nx.DiGraph([(1, 2), (2, 3), (3, 2)]) + reciprocity = nx.reciprocity(DG, [1, 2]) + expected_reciprocity = {1: 0.0, 2: 0.6666666666666666} + assert reciprocity == expected_reciprocity + + # test for reciprocity for a single node + def test_reciprocity_graph_node(self): + DG = nx.DiGraph([(1, 2), (2, 3), (3, 2)]) + reciprocity = nx.reciprocity(DG, 2) + assert reciprocity == 0.6666666666666666 + + # test for reciprocity for an isolated node + def test_reciprocity_graph_isolated_nodes(self): + with pytest.raises(nx.NetworkXError): + DG = nx.DiGraph([(1, 2)]) + DG.add_node(4) + nx.reciprocity(DG, 4) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_regular.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_regular.py new file mode 100644 index 0000000000000000000000000000000000000000..a8b4c3a30de612f91b4739fd35bc9ba06ab292ce --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_regular.py @@ -0,0 +1,92 @@ +import pytest + +import networkx +import networkx as nx +import networkx.algorithms.regular as reg +import networkx.generators as gen + + +class TestKFactor: + def test_k_factor_trivial(self): + g = gen.cycle_graph(4) + f = reg.k_factor(g, 2) + assert g.edges == f.edges + + def test_k_factor1(self): + g = gen.grid_2d_graph(4, 4) + g_kf = reg.k_factor(g, 2) + for edge in g_kf.edges(): + assert g.has_edge(edge[0], edge[1]) + for _, degree in g_kf.degree(): + assert degree == 2 + + def test_k_factor2(self): + g = gen.complete_graph(6) + g_kf = reg.k_factor(g, 3) + for edge in g_kf.edges(): + assert g.has_edge(edge[0], edge[1]) + for _, degree in g_kf.degree(): + assert degree == 3 + + def test_k_factor3(self): + g = gen.grid_2d_graph(4, 4) + with pytest.raises(nx.NetworkXUnfeasible): + reg.k_factor(g, 3) + + def test_k_factor4(self): + g = gen.lattice.hexagonal_lattice_graph(4, 4) + # Perfect matching doesn't exist for 4,4 hexagonal lattice graph + with pytest.raises(nx.NetworkXUnfeasible): + reg.k_factor(g, 2) + + def test_k_factor5(self): + g = gen.complete_graph(6) + # small k to exercise SmallKGadget + g_kf = reg.k_factor(g, 2) + for edge in g_kf.edges(): + assert g.has_edge(edge[0], edge[1]) + for _, degree in g_kf.degree(): + assert degree == 2 + + +class TestIsRegular: + def test_is_regular1(self): + g = gen.cycle_graph(4) + assert reg.is_regular(g) + + def test_is_regular2(self): + g = gen.complete_graph(5) + assert reg.is_regular(g) + + def test_is_regular3(self): + g = gen.lollipop_graph(5, 5) + assert not reg.is_regular(g) + + def test_is_regular4(self): + g = nx.DiGraph() + g.add_edges_from([(0, 1), (1, 2), (2, 0)]) + assert reg.is_regular(g) + + +def test_is_regular_empty_graph_raises(): + G = nx.Graph() + with pytest.raises(nx.NetworkXPointlessConcept, match="Graph has no nodes"): + nx.is_regular(G) + + +class TestIsKRegular: + def test_is_k_regular1(self): + g = gen.cycle_graph(4) + assert reg.is_k_regular(g, 2) + assert not reg.is_k_regular(g, 3) + + def test_is_k_regular2(self): + g = gen.complete_graph(5) + assert reg.is_k_regular(g, 4) + assert not reg.is_k_regular(g, 3) + assert not reg.is_k_regular(g, 6) + + def test_is_k_regular3(self): + g = gen.lollipop_graph(5, 5) + assert not reg.is_k_regular(g, 5) + assert not reg.is_k_regular(g, 6) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_richclub.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_richclub.py new file mode 100644 index 0000000000000000000000000000000000000000..1bdb66847fdfe5d3e6ad398aa76279b85b2c811a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_richclub.py @@ -0,0 +1,149 @@ +import pytest + +import networkx as nx + + +def test_richclub(): + G = nx.Graph([(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (4, 5)]) + rc = nx.richclub.rich_club_coefficient(G, normalized=False) + assert rc == {0: 12.0 / 30, 1: 8.0 / 12} + + # test single value + rc0 = nx.richclub.rich_club_coefficient(G, normalized=False)[0] + assert rc0 == 12.0 / 30.0 + + +def test_richclub_seed(): + G = nx.Graph([(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (4, 5)]) + rcNorm = nx.richclub.rich_club_coefficient(G, Q=2, seed=1) + assert rcNorm == {0: 1.0, 1: 1.0} + + +def test_richclub_normalized(): + G = nx.Graph([(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (4, 5)]) + rcNorm = nx.richclub.rich_club_coefficient(G, Q=2, seed=42) + assert rcNorm == {0: 1.0, 1: 1.0} + + +def test_richclub2(): + T = nx.balanced_tree(2, 10) + rc = nx.richclub.rich_club_coefficient(T, normalized=False) + assert rc == { + 0: 4092 / (2047 * 2046.0), + 1: (2044.0 / (1023 * 1022)), + 2: (2040.0 / (1022 * 1021)), + } + + +def test_richclub3(): + # tests edgecase + G = nx.karate_club_graph() + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == { + 0: 156.0 / 1122, + 1: 154.0 / 1056, + 2: 110.0 / 462, + 3: 78.0 / 240, + 4: 44.0 / 90, + 5: 22.0 / 42, + 6: 10.0 / 20, + 7: 10.0 / 20, + 8: 10.0 / 20, + 9: 6.0 / 12, + 10: 2.0 / 6, + 11: 2.0 / 6, + 12: 0.0, + 13: 0.0, + 14: 0.0, + 15: 0.0, + } + + +def test_richclub4(): + G = nx.Graph() + G.add_edges_from( + [(0, 1), (0, 2), (0, 3), (0, 4), (4, 5), (5, 9), (6, 9), (7, 9), (8, 9)] + ) + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == {0: 18 / 90.0, 1: 6 / 12.0, 2: 0.0, 3: 0.0} + + +def test_richclub_exception(): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.DiGraph() + nx.rich_club_coefficient(G) + + +def test_rich_club_exception2(): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.MultiGraph() + nx.rich_club_coefficient(G) + + +def test_rich_club_selfloop(): + G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + G.add_edge(1, 1) # self loop + G.add_edge(1, 2) + with pytest.raises( + Exception, + match="rich_club_coefficient is not implemented for " "graphs with self loops.", + ): + nx.rich_club_coefficient(G) + + +def test_rich_club_leq_3_nodes_unnormalized(): + # edgeless graphs upto 3 nodes + G = nx.Graph() + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == {} + + for i in range(3): + G.add_node(i) + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == {} + + # 2 nodes, single edge + G = nx.Graph() + G.add_edge(0, 1) + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == {0: 1} + + # 3 nodes, single edge + G = nx.Graph() + G.add_nodes_from([0, 1, 2]) + G.add_edge(0, 1) + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == {0: 1} + + # 3 nodes, 2 edges + G.add_edge(1, 2) + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == {0: 2 / 3} + + # 3 nodes, 3 edges + G.add_edge(0, 2) + rc = nx.rich_club_coefficient(G, normalized=False) + assert rc == {0: 1, 1: 1} + + +def test_rich_club_leq_3_nodes_normalized(): + G = nx.Graph() + with pytest.raises( + nx.exception.NetworkXError, + match="Graph has fewer than four nodes", + ): + rc = nx.rich_club_coefficient(G, normalized=True) + + for i in range(3): + G.add_node(i) + with pytest.raises( + nx.exception.NetworkXError, + match="Graph has fewer than four nodes", + ): + rc = nx.rich_club_coefficient(G, normalized=True) + + +# def test_richclub2_normalized(): +# T = nx.balanced_tree(2,10) +# rcNorm = nx.richclub.rich_club_coefficient(T,Q=2) +# assert_true(rcNorm[0] ==1.0 and rcNorm[1] < 0.9 and rcNorm[2] < 0.9) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_similarity.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_similarity.py new file mode 100644 index 0000000000000000000000000000000000000000..3836ccfe182fd58e96c2e0212e8aca55d7668b9d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_similarity.py @@ -0,0 +1,946 @@ +import pytest + +import networkx as nx +from networkx.algorithms.similarity import ( + graph_edit_distance, + optimal_edit_paths, + optimize_graph_edit_distance, +) +from networkx.generators.classic import ( + circular_ladder_graph, + cycle_graph, + path_graph, + wheel_graph, +) + + +def nmatch(n1, n2): + return n1 == n2 + + +def ematch(e1, e2): + return e1 == e2 + + +def getCanonical(): + G = nx.Graph() + G.add_node("A", label="A") + G.add_node("B", label="B") + G.add_node("C", label="C") + G.add_node("D", label="D") + G.add_edge("A", "B", label="a-b") + G.add_edge("B", "C", label="b-c") + G.add_edge("B", "D", label="b-d") + return G + + +class TestSimilarity: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + pytest.importorskip("scipy") + + def test_graph_edit_distance_roots_and_timeout(self): + G0 = nx.star_graph(5) + G1 = G0.copy() + pytest.raises(ValueError, graph_edit_distance, G0, G1, roots=[2]) + pytest.raises(ValueError, graph_edit_distance, G0, G1, roots=[2, 3, 4]) + pytest.raises(nx.NodeNotFound, graph_edit_distance, G0, G1, roots=(9, 3)) + pytest.raises(nx.NodeNotFound, graph_edit_distance, G0, G1, roots=(3, 9)) + pytest.raises(nx.NodeNotFound, graph_edit_distance, G0, G1, roots=(9, 9)) + assert graph_edit_distance(G0, G1, roots=(1, 2)) == 0 + assert graph_edit_distance(G0, G1, roots=(0, 1)) == 8 + assert graph_edit_distance(G0, G1, roots=(1, 2), timeout=5) == 0 + assert graph_edit_distance(G0, G1, roots=(0, 1), timeout=5) == 8 + assert graph_edit_distance(G0, G1, roots=(0, 1), timeout=0.0001) is None + # test raise on 0 timeout + pytest.raises(nx.NetworkXError, graph_edit_distance, G0, G1, timeout=0) + + def test_graph_edit_distance(self): + G0 = nx.Graph() + G1 = path_graph(6) + G2 = cycle_graph(6) + G3 = wheel_graph(7) + + assert graph_edit_distance(G0, G0) == 0 + assert graph_edit_distance(G0, G1) == 11 + assert graph_edit_distance(G1, G0) == 11 + assert graph_edit_distance(G0, G2) == 12 + assert graph_edit_distance(G2, G0) == 12 + assert graph_edit_distance(G0, G3) == 19 + assert graph_edit_distance(G3, G0) == 19 + + assert graph_edit_distance(G1, G1) == 0 + assert graph_edit_distance(G1, G2) == 1 + assert graph_edit_distance(G2, G1) == 1 + assert graph_edit_distance(G1, G3) == 8 + assert graph_edit_distance(G3, G1) == 8 + + assert graph_edit_distance(G2, G2) == 0 + assert graph_edit_distance(G2, G3) == 7 + assert graph_edit_distance(G3, G2) == 7 + + assert graph_edit_distance(G3, G3) == 0 + + def test_graph_edit_distance_node_match(self): + G1 = cycle_graph(5) + G2 = cycle_graph(5) + for n, attr in G1.nodes.items(): + attr["color"] = "red" if n % 2 == 0 else "blue" + for n, attr in G2.nodes.items(): + attr["color"] = "red" if n % 2 == 1 else "blue" + assert graph_edit_distance(G1, G2) == 0 + assert ( + graph_edit_distance( + G1, G2, node_match=lambda n1, n2: n1["color"] == n2["color"] + ) + == 1 + ) + + def test_graph_edit_distance_edge_match(self): + G1 = path_graph(6) + G2 = path_graph(6) + for e, attr in G1.edges.items(): + attr["color"] = "red" if min(e) % 2 == 0 else "blue" + for e, attr in G2.edges.items(): + attr["color"] = "red" if min(e) // 3 == 0 else "blue" + assert graph_edit_distance(G1, G2) == 0 + assert ( + graph_edit_distance( + G1, G2, edge_match=lambda e1, e2: e1["color"] == e2["color"] + ) + == 2 + ) + + def test_graph_edit_distance_node_cost(self): + G1 = path_graph(6) + G2 = path_graph(6) + for n, attr in G1.nodes.items(): + attr["color"] = "red" if n % 2 == 0 else "blue" + for n, attr in G2.nodes.items(): + attr["color"] = "red" if n % 2 == 1 else "blue" + + def node_subst_cost(uattr, vattr): + if uattr["color"] == vattr["color"]: + return 1 + else: + return 10 + + def node_del_cost(attr): + if attr["color"] == "blue": + return 20 + else: + return 50 + + def node_ins_cost(attr): + if attr["color"] == "blue": + return 40 + else: + return 100 + + assert ( + graph_edit_distance( + G1, + G2, + node_subst_cost=node_subst_cost, + node_del_cost=node_del_cost, + node_ins_cost=node_ins_cost, + ) + == 6 + ) + + def test_graph_edit_distance_edge_cost(self): + G1 = path_graph(6) + G2 = path_graph(6) + for e, attr in G1.edges.items(): + attr["color"] = "red" if min(e) % 2 == 0 else "blue" + for e, attr in G2.edges.items(): + attr["color"] = "red" if min(e) // 3 == 0 else "blue" + + def edge_subst_cost(gattr, hattr): + if gattr["color"] == hattr["color"]: + return 0.01 + else: + return 0.1 + + def edge_del_cost(attr): + if attr["color"] == "blue": + return 0.2 + else: + return 0.5 + + def edge_ins_cost(attr): + if attr["color"] == "blue": + return 0.4 + else: + return 1.0 + + assert ( + graph_edit_distance( + G1, + G2, + edge_subst_cost=edge_subst_cost, + edge_del_cost=edge_del_cost, + edge_ins_cost=edge_ins_cost, + ) + == 0.23 + ) + + def test_graph_edit_distance_upper_bound(self): + G1 = circular_ladder_graph(2) + G2 = circular_ladder_graph(6) + assert graph_edit_distance(G1, G2, upper_bound=5) is None + assert graph_edit_distance(G1, G2, upper_bound=24) == 22 + assert graph_edit_distance(G1, G2) == 22 + + def test_optimal_edit_paths(self): + G1 = path_graph(3) + G2 = cycle_graph(3) + paths, cost = optimal_edit_paths(G1, G2) + assert cost == 1 + assert len(paths) == 6 + + def canonical(vertex_path, edge_path): + return ( + tuple(sorted(vertex_path)), + tuple(sorted(edge_path, key=lambda x: (None in x, x))), + ) + + expected_paths = [ + ( + [(0, 0), (1, 1), (2, 2)], + [((0, 1), (0, 1)), ((1, 2), (1, 2)), (None, (0, 2))], + ), + ( + [(0, 0), (1, 2), (2, 1)], + [((0, 1), (0, 2)), ((1, 2), (1, 2)), (None, (0, 1))], + ), + ( + [(0, 1), (1, 0), (2, 2)], + [((0, 1), (0, 1)), ((1, 2), (0, 2)), (None, (1, 2))], + ), + ( + [(0, 1), (1, 2), (2, 0)], + [((0, 1), (1, 2)), ((1, 2), (0, 2)), (None, (0, 1))], + ), + ( + [(0, 2), (1, 0), (2, 1)], + [((0, 1), (0, 2)), ((1, 2), (0, 1)), (None, (1, 2))], + ), + ( + [(0, 2), (1, 1), (2, 0)], + [((0, 1), (1, 2)), ((1, 2), (0, 1)), (None, (0, 2))], + ), + ] + assert {canonical(*p) for p in paths} == {canonical(*p) for p in expected_paths} + + def test_optimize_graph_edit_distance(self): + G1 = circular_ladder_graph(2) + G2 = circular_ladder_graph(6) + bestcost = 1000 + for cost in optimize_graph_edit_distance(G1, G2): + assert cost < bestcost + bestcost = cost + assert bestcost == 22 + + # def test_graph_edit_distance_bigger(self): + # G1 = circular_ladder_graph(12) + # G2 = circular_ladder_graph(16) + # assert_equal(graph_edit_distance(G1, G2), 22) + + def test_selfloops(self): + G0 = nx.Graph() + G1 = nx.Graph() + G1.add_edges_from((("A", "A"), ("A", "B"))) + G2 = nx.Graph() + G2.add_edges_from((("A", "B"), ("B", "B"))) + G3 = nx.Graph() + G3.add_edges_from((("A", "A"), ("A", "B"), ("B", "B"))) + + assert graph_edit_distance(G0, G0) == 0 + assert graph_edit_distance(G0, G1) == 4 + assert graph_edit_distance(G1, G0) == 4 + assert graph_edit_distance(G0, G2) == 4 + assert graph_edit_distance(G2, G0) == 4 + assert graph_edit_distance(G0, G3) == 5 + assert graph_edit_distance(G3, G0) == 5 + + assert graph_edit_distance(G1, G1) == 0 + assert graph_edit_distance(G1, G2) == 0 + assert graph_edit_distance(G2, G1) == 0 + assert graph_edit_distance(G1, G3) == 1 + assert graph_edit_distance(G3, G1) == 1 + + assert graph_edit_distance(G2, G2) == 0 + assert graph_edit_distance(G2, G3) == 1 + assert graph_edit_distance(G3, G2) == 1 + + assert graph_edit_distance(G3, G3) == 0 + + def test_digraph(self): + G0 = nx.DiGraph() + G1 = nx.DiGraph() + G1.add_edges_from((("A", "B"), ("B", "C"), ("C", "D"), ("D", "A"))) + G2 = nx.DiGraph() + G2.add_edges_from((("A", "B"), ("B", "C"), ("C", "D"), ("A", "D"))) + G3 = nx.DiGraph() + G3.add_edges_from((("A", "B"), ("A", "C"), ("B", "D"), ("C", "D"))) + + assert graph_edit_distance(G0, G0) == 0 + assert graph_edit_distance(G0, G1) == 8 + assert graph_edit_distance(G1, G0) == 8 + assert graph_edit_distance(G0, G2) == 8 + assert graph_edit_distance(G2, G0) == 8 + assert graph_edit_distance(G0, G3) == 8 + assert graph_edit_distance(G3, G0) == 8 + + assert graph_edit_distance(G1, G1) == 0 + assert graph_edit_distance(G1, G2) == 2 + assert graph_edit_distance(G2, G1) == 2 + assert graph_edit_distance(G1, G3) == 4 + assert graph_edit_distance(G3, G1) == 4 + + assert graph_edit_distance(G2, G2) == 0 + assert graph_edit_distance(G2, G3) == 2 + assert graph_edit_distance(G3, G2) == 2 + + assert graph_edit_distance(G3, G3) == 0 + + def test_multigraph(self): + G0 = nx.MultiGraph() + G1 = nx.MultiGraph() + G1.add_edges_from((("A", "B"), ("B", "C"), ("A", "C"))) + G2 = nx.MultiGraph() + G2.add_edges_from((("A", "B"), ("B", "C"), ("B", "C"), ("A", "C"))) + G3 = nx.MultiGraph() + G3.add_edges_from((("A", "B"), ("B", "C"), ("A", "C"), ("A", "C"), ("A", "C"))) + + assert graph_edit_distance(G0, G0) == 0 + assert graph_edit_distance(G0, G1) == 6 + assert graph_edit_distance(G1, G0) == 6 + assert graph_edit_distance(G0, G2) == 7 + assert graph_edit_distance(G2, G0) == 7 + assert graph_edit_distance(G0, G3) == 8 + assert graph_edit_distance(G3, G0) == 8 + + assert graph_edit_distance(G1, G1) == 0 + assert graph_edit_distance(G1, G2) == 1 + assert graph_edit_distance(G2, G1) == 1 + assert graph_edit_distance(G1, G3) == 2 + assert graph_edit_distance(G3, G1) == 2 + + assert graph_edit_distance(G2, G2) == 0 + assert graph_edit_distance(G2, G3) == 1 + assert graph_edit_distance(G3, G2) == 1 + + assert graph_edit_distance(G3, G3) == 0 + + def test_multidigraph(self): + G1 = nx.MultiDiGraph() + G1.add_edges_from( + ( + ("hardware", "kernel"), + ("kernel", "hardware"), + ("kernel", "userspace"), + ("userspace", "kernel"), + ) + ) + G2 = nx.MultiDiGraph() + G2.add_edges_from( + ( + ("winter", "spring"), + ("spring", "summer"), + ("summer", "autumn"), + ("autumn", "winter"), + ) + ) + + assert graph_edit_distance(G1, G2) == 5 + assert graph_edit_distance(G2, G1) == 5 + + # by https://github.com/jfbeaumont + def testCopy(self): + G = nx.Graph() + G.add_node("A", label="A") + G.add_node("B", label="B") + G.add_edge("A", "B", label="a-b") + assert ( + graph_edit_distance(G, G.copy(), node_match=nmatch, edge_match=ematch) == 0 + ) + + def testSame(self): + G1 = nx.Graph() + G1.add_node("A", label="A") + G1.add_node("B", label="B") + G1.add_edge("A", "B", label="a-b") + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_edge("A", "B", label="a-b") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 0 + + def testOneEdgeLabelDiff(self): + G1 = nx.Graph() + G1.add_node("A", label="A") + G1.add_node("B", label="B") + G1.add_edge("A", "B", label="a-b") + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_edge("A", "B", label="bad") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1 + + def testOneNodeLabelDiff(self): + G1 = nx.Graph() + G1.add_node("A", label="A") + G1.add_node("B", label="B") + G1.add_edge("A", "B", label="a-b") + G2 = nx.Graph() + G2.add_node("A", label="Z") + G2.add_node("B", label="B") + G2.add_edge("A", "B", label="a-b") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1 + + def testOneExtraNode(self): + G1 = nx.Graph() + G1.add_node("A", label="A") + G1.add_node("B", label="B") + G1.add_edge("A", "B", label="a-b") + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_edge("A", "B", label="a-b") + G2.add_node("C", label="C") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1 + + def testOneExtraEdge(self): + G1 = nx.Graph() + G1.add_node("A", label="A") + G1.add_node("B", label="B") + G1.add_node("C", label="C") + G1.add_node("C", label="C") + G1.add_edge("A", "B", label="a-b") + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("C", label="C") + G2.add_edge("A", "B", label="a-b") + G2.add_edge("A", "C", label="a-c") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1 + + def testOneExtraNodeAndEdge(self): + G1 = nx.Graph() + G1.add_node("A", label="A") + G1.add_node("B", label="B") + G1.add_edge("A", "B", label="a-b") + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("C", label="C") + G2.add_edge("A", "B", label="a-b") + G2.add_edge("A", "C", label="a-c") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 2 + + def testGraph1(self): + G1 = getCanonical() + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("D", label="D") + G2.add_node("E", label="E") + G2.add_edge("A", "B", label="a-b") + G2.add_edge("B", "D", label="b-d") + G2.add_edge("D", "E", label="d-e") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 3 + + def testGraph2(self): + G1 = getCanonical() + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("C", label="C") + G2.add_node("D", label="D") + G2.add_node("E", label="E") + G2.add_edge("A", "B", label="a-b") + G2.add_edge("B", "C", label="b-c") + G2.add_edge("C", "D", label="c-d") + G2.add_edge("C", "E", label="c-e") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 4 + + def testGraph3(self): + G1 = getCanonical() + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("C", label="C") + G2.add_node("D", label="D") + G2.add_node("E", label="E") + G2.add_node("F", label="F") + G2.add_node("G", label="G") + G2.add_edge("A", "C", label="a-c") + G2.add_edge("A", "D", label="a-d") + G2.add_edge("D", "E", label="d-e") + G2.add_edge("D", "F", label="d-f") + G2.add_edge("D", "G", label="d-g") + G2.add_edge("E", "B", label="e-b") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 12 + + def testGraph4(self): + G1 = getCanonical() + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("C", label="C") + G2.add_node("D", label="D") + G2.add_edge("A", "B", label="a-b") + G2.add_edge("B", "C", label="b-c") + G2.add_edge("C", "D", label="c-d") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 2 + + def testGraph4_a(self): + G1 = getCanonical() + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("C", label="C") + G2.add_node("D", label="D") + G2.add_edge("A", "B", label="a-b") + G2.add_edge("B", "C", label="b-c") + G2.add_edge("A", "D", label="a-d") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 2 + + def testGraph4_b(self): + G1 = getCanonical() + G2 = nx.Graph() + G2.add_node("A", label="A") + G2.add_node("B", label="B") + G2.add_node("C", label="C") + G2.add_node("D", label="D") + G2.add_edge("A", "B", label="a-b") + G2.add_edge("B", "C", label="b-c") + G2.add_edge("B", "D", label="bad") + assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1 + + # note: nx.simrank_similarity_numpy not included because returns np.array + simrank_algs = [ + nx.simrank_similarity, + nx.algorithms.similarity._simrank_similarity_python, + ] + + @pytest.mark.parametrize("simrank_similarity", simrank_algs) + def test_simrank_no_source_no_target(self, simrank_similarity): + G = nx.cycle_graph(5) + expected = { + 0: { + 0: 1, + 1: 0.3951219505902448, + 2: 0.5707317069281646, + 3: 0.5707317069281646, + 4: 0.3951219505902449, + }, + 1: { + 0: 0.3951219505902448, + 1: 1, + 2: 0.3951219505902449, + 3: 0.5707317069281646, + 4: 0.5707317069281646, + }, + 2: { + 0: 0.5707317069281646, + 1: 0.3951219505902449, + 2: 1, + 3: 0.3951219505902449, + 4: 0.5707317069281646, + }, + 3: { + 0: 0.5707317069281646, + 1: 0.5707317069281646, + 2: 0.3951219505902449, + 3: 1, + 4: 0.3951219505902449, + }, + 4: { + 0: 0.3951219505902449, + 1: 0.5707317069281646, + 2: 0.5707317069281646, + 3: 0.3951219505902449, + 4: 1, + }, + } + actual = simrank_similarity(G) + for k, v in expected.items(): + assert v == pytest.approx(actual[k], abs=1e-2) + + # For a DiGraph test, use the first graph from the paper cited in + # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126 + G = nx.DiGraph() + G.add_node(0, label="Univ") + G.add_node(1, label="ProfA") + G.add_node(2, label="ProfB") + G.add_node(3, label="StudentA") + G.add_node(4, label="StudentB") + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)]) + + expected = { + 0: {0: 1, 1: 0.0, 2: 0.1323363991265798, 3: 0.0, 4: 0.03387811817640443}, + 1: {0: 0.0, 1: 1, 2: 0.4135512472705618, 3: 0.0, 4: 0.10586911930126384}, + 2: { + 0: 0.1323363991265798, + 1: 0.4135512472705618, + 2: 1, + 3: 0.04234764772050554, + 4: 0.08822426608438655, + }, + 3: {0: 0.0, 1: 0.0, 2: 0.04234764772050554, 3: 1, 4: 0.3308409978164495}, + 4: { + 0: 0.03387811817640443, + 1: 0.10586911930126384, + 2: 0.08822426608438655, + 3: 0.3308409978164495, + 4: 1, + }, + } + # Use the importance_factor from the paper to get the same numbers. + actual = simrank_similarity(G, importance_factor=0.8) + for k, v in expected.items(): + assert v == pytest.approx(actual[k], abs=1e-2) + + @pytest.mark.parametrize("simrank_similarity", simrank_algs) + def test_simrank_source_no_target(self, simrank_similarity): + G = nx.cycle_graph(5) + expected = { + 0: 1, + 1: 0.3951219505902448, + 2: 0.5707317069281646, + 3: 0.5707317069281646, + 4: 0.3951219505902449, + } + actual = simrank_similarity(G, source=0) + assert expected == pytest.approx(actual, abs=1e-2) + + # For a DiGraph test, use the first graph from the paper cited in + # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126 + G = nx.DiGraph() + G.add_node(0, label="Univ") + G.add_node(1, label="ProfA") + G.add_node(2, label="ProfB") + G.add_node(3, label="StudentA") + G.add_node(4, label="StudentB") + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)]) + + expected = {0: 1, 1: 0.0, 2: 0.1323363991265798, 3: 0.0, 4: 0.03387811817640443} + # Use the importance_factor from the paper to get the same numbers. + actual = simrank_similarity(G, importance_factor=0.8, source=0) + assert expected == pytest.approx(actual, abs=1e-2) + + @pytest.mark.parametrize("simrank_similarity", simrank_algs) + def test_simrank_noninteger_nodes(self, simrank_similarity): + G = nx.cycle_graph(5) + G = nx.relabel_nodes(G, dict(enumerate("abcde"))) + expected = { + "a": 1, + "b": 0.3951219505902448, + "c": 0.5707317069281646, + "d": 0.5707317069281646, + "e": 0.3951219505902449, + } + actual = simrank_similarity(G, source="a") + assert expected == pytest.approx(actual, abs=1e-2) + + # For a DiGraph test, use the first graph from the paper cited in + # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126 + G = nx.DiGraph() + G.add_node(0, label="Univ") + G.add_node(1, label="ProfA") + G.add_node(2, label="ProfB") + G.add_node(3, label="StudentA") + G.add_node(4, label="StudentB") + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)]) + node_labels = dict(enumerate(nx.get_node_attributes(G, "label").values())) + G = nx.relabel_nodes(G, node_labels) + + expected = { + "Univ": 1, + "ProfA": 0.0, + "ProfB": 0.1323363991265798, + "StudentA": 0.0, + "StudentB": 0.03387811817640443, + } + # Use the importance_factor from the paper to get the same numbers. + actual = simrank_similarity(G, importance_factor=0.8, source="Univ") + assert expected == pytest.approx(actual, abs=1e-2) + + @pytest.mark.parametrize("simrank_similarity", simrank_algs) + def test_simrank_source_and_target(self, simrank_similarity): + G = nx.cycle_graph(5) + expected = 1 + actual = simrank_similarity(G, source=0, target=0) + assert expected == pytest.approx(actual, abs=1e-2) + + # For a DiGraph test, use the first graph from the paper cited in + # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126 + G = nx.DiGraph() + G.add_node(0, label="Univ") + G.add_node(1, label="ProfA") + G.add_node(2, label="ProfB") + G.add_node(3, label="StudentA") + G.add_node(4, label="StudentB") + G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)]) + + expected = 0.1323363991265798 + # Use the importance_factor from the paper to get the same numbers. + # Use the pair (0,2) because (0,0) and (0,1) have trivial results. + actual = simrank_similarity(G, importance_factor=0.8, source=0, target=2) + assert expected == pytest.approx(actual, abs=1e-5) + + @pytest.mark.parametrize("alg", simrank_algs) + def test_simrank_max_iterations(self, alg): + G = nx.cycle_graph(5) + pytest.raises(nx.ExceededMaxIterations, alg, G, max_iterations=10) + + def test_simrank_source_not_found(self): + G = nx.cycle_graph(5) + with pytest.raises(nx.NodeNotFound, match="Source node 10 not in G"): + nx.simrank_similarity(G, source=10) + + def test_simrank_target_not_found(self): + G = nx.cycle_graph(5) + with pytest.raises(nx.NodeNotFound, match="Target node 10 not in G"): + nx.simrank_similarity(G, target=10) + + def test_simrank_between_versions(self): + G = nx.cycle_graph(5) + # _python tolerance 1e-4 + expected_python_tol4 = { + 0: 1, + 1: 0.394512499239852, + 2: 0.5703550452791322, + 3: 0.5703550452791323, + 4: 0.394512499239852, + } + # _numpy tolerance 1e-4 + expected_numpy_tol4 = { + 0: 1.0, + 1: 0.3947180735764555, + 2: 0.570482097206368, + 3: 0.570482097206368, + 4: 0.3947180735764555, + } + actual = nx.simrank_similarity(G, source=0) + assert expected_numpy_tol4 == pytest.approx(actual, abs=1e-7) + # versions differ at 1e-4 level but equal at 1e-3 + assert expected_python_tol4 != pytest.approx(actual, abs=1e-4) + assert expected_python_tol4 == pytest.approx(actual, abs=1e-3) + + actual = nx.similarity._simrank_similarity_python(G, source=0) + assert expected_python_tol4 == pytest.approx(actual, abs=1e-7) + # versions differ at 1e-4 level but equal at 1e-3 + assert expected_numpy_tol4 != pytest.approx(actual, abs=1e-4) + assert expected_numpy_tol4 == pytest.approx(actual, abs=1e-3) + + def test_simrank_numpy_no_source_no_target(self): + G = nx.cycle_graph(5) + expected = np.array( + [ + [ + 1.0, + 0.3947180735764555, + 0.570482097206368, + 0.570482097206368, + 0.3947180735764555, + ], + [ + 0.3947180735764555, + 1.0, + 0.3947180735764555, + 0.570482097206368, + 0.570482097206368, + ], + [ + 0.570482097206368, + 0.3947180735764555, + 1.0, + 0.3947180735764555, + 0.570482097206368, + ], + [ + 0.570482097206368, + 0.570482097206368, + 0.3947180735764555, + 1.0, + 0.3947180735764555, + ], + [ + 0.3947180735764555, + 0.570482097206368, + 0.570482097206368, + 0.3947180735764555, + 1.0, + ], + ] + ) + actual = nx.similarity._simrank_similarity_numpy(G) + np.testing.assert_allclose(expected, actual, atol=1e-7) + + def test_simrank_numpy_source_no_target(self): + G = nx.cycle_graph(5) + expected = np.array( + [ + 1.0, + 0.3947180735764555, + 0.570482097206368, + 0.570482097206368, + 0.3947180735764555, + ] + ) + actual = nx.similarity._simrank_similarity_numpy(G, source=0) + np.testing.assert_allclose(expected, actual, atol=1e-7) + + def test_simrank_numpy_source_and_target(self): + G = nx.cycle_graph(5) + expected = 1.0 + actual = nx.similarity._simrank_similarity_numpy(G, source=0, target=0) + np.testing.assert_allclose(expected, actual, atol=1e-7) + + def test_panther_similarity_unweighted(self): + np.random.seed(42) + + G = nx.Graph() + G.add_edge(0, 1) + G.add_edge(0, 2) + G.add_edge(0, 3) + G.add_edge(1, 2) + G.add_edge(2, 4) + expected = {3: 0.5, 2: 0.5, 1: 0.5, 4: 0.125} + sim = nx.panther_similarity(G, 0, path_length=2) + assert sim == expected + + def test_panther_similarity_weighted(self): + np.random.seed(42) + + G = nx.Graph() + G.add_edge("v1", "v2", w=5) + G.add_edge("v1", "v3", w=1) + G.add_edge("v1", "v4", w=2) + G.add_edge("v2", "v3", w=0.1) + G.add_edge("v3", "v5", w=1) + expected = {"v3": 0.75, "v4": 0.5, "v2": 0.5, "v5": 0.25} + sim = nx.panther_similarity(G, "v1", path_length=2, weight="w") + assert sim == expected + + def test_panther_similarity_source_not_found(self): + G = nx.Graph() + G.add_edges_from([(0, 1), (0, 2), (0, 3), (1, 2), (2, 4)]) + with pytest.raises(nx.NodeNotFound, match="Source node 10 not in G"): + nx.panther_similarity(G, source=10) + + def test_panther_similarity_isolated(self): + G = nx.Graph() + G.add_nodes_from(range(5)) + with pytest.raises( + nx.NetworkXUnfeasible, + match="Panther similarity is not defined for the isolated source node 1.", + ): + nx.panther_similarity(G, source=1) + + def test_generate_random_paths_unweighted(self): + index_map = {} + num_paths = 10 + path_length = 2 + G = nx.Graph() + G.add_edge(0, 1) + G.add_edge(0, 2) + G.add_edge(0, 3) + G.add_edge(1, 2) + G.add_edge(2, 4) + paths = nx.generate_random_paths( + G, num_paths, path_length=path_length, index_map=index_map, seed=42 + ) + expected_paths = [ + [3, 0, 3], + [4, 2, 1], + [2, 1, 0], + [2, 0, 3], + [3, 0, 1], + [3, 0, 1], + [4, 2, 0], + [2, 1, 0], + [3, 0, 2], + [2, 1, 2], + ] + expected_map = { + 0: {0, 2, 3, 4, 5, 6, 7, 8}, + 1: {1, 2, 4, 5, 7, 9}, + 2: {1, 2, 3, 6, 7, 8, 9}, + 3: {0, 3, 4, 5, 8}, + 4: {1, 6}, + } + + assert expected_paths == list(paths) + assert expected_map == index_map + + def test_generate_random_paths_weighted(self): + np.random.seed(42) + + index_map = {} + num_paths = 10 + path_length = 6 + G = nx.Graph() + G.add_edge("a", "b", weight=0.6) + G.add_edge("a", "c", weight=0.2) + G.add_edge("c", "d", weight=0.1) + G.add_edge("c", "e", weight=0.7) + G.add_edge("c", "f", weight=0.9) + G.add_edge("a", "d", weight=0.3) + paths = nx.generate_random_paths( + G, num_paths, path_length=path_length, index_map=index_map + ) + + expected_paths = [ + ["d", "c", "f", "c", "d", "a", "b"], + ["e", "c", "f", "c", "f", "c", "e"], + ["d", "a", "b", "a", "b", "a", "c"], + ["b", "a", "d", "a", "b", "a", "b"], + ["d", "a", "b", "a", "b", "a", "d"], + ["d", "a", "b", "a", "b", "a", "c"], + ["d", "a", "b", "a", "b", "a", "b"], + ["f", "c", "f", "c", "f", "c", "e"], + ["d", "a", "d", "a", "b", "a", "b"], + ["e", "c", "f", "c", "e", "c", "d"], + ] + expected_map = { + "d": {0, 2, 3, 4, 5, 6, 8, 9}, + "c": {0, 1, 2, 5, 7, 9}, + "f": {0, 1, 9, 7}, + "a": {0, 2, 3, 4, 5, 6, 8}, + "b": {0, 2, 3, 4, 5, 6, 8}, + "e": {1, 9, 7}, + } + + assert expected_paths == list(paths) + assert expected_map == index_map + + def test_symmetry_with_custom_matching(self): + print("G2 is edge (a,b) and G3 is edge (a,a)") + print("but node order for G2 is (a,b) while for G3 it is (b,a)") + + a, b = "A", "B" + G2 = nx.Graph() + G2.add_nodes_from((a, b)) + G2.add_edges_from([(a, b)]) + G3 = nx.Graph() + G3.add_nodes_from((b, a)) + G3.add_edges_from([(a, a)]) + for G in (G2, G3): + for n in G: + G.nodes[n]["attr"] = n + for e in G.edges: + G.edges[e]["attr"] = e + match = lambda x, y: x == y + + print("Starting G2 to G3 GED calculation") + assert nx.graph_edit_distance(G2, G3, node_match=match, edge_match=match) == 1 + + print("Starting G3 to G2 GED calculation") + assert nx.graph_edit_distance(G3, G2, node_match=match, edge_match=match) == 1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_simple_paths.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_simple_paths.py new file mode 100644 index 0000000000000000000000000000000000000000..7855bbad27b896750faa932a74062aa2bc8ca143 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_simple_paths.py @@ -0,0 +1,803 @@ +import random + +import pytest + +import networkx as nx +from networkx import convert_node_labels_to_integers as cnlti +from networkx.algorithms.simple_paths import ( + _bidirectional_dijkstra, + _bidirectional_shortest_path, +) +from networkx.utils import arbitrary_element, pairwise + + +class TestIsSimplePath: + """Unit tests for the + :func:`networkx.algorithms.simple_paths.is_simple_path` function. + + """ + + def test_empty_list(self): + """Tests that the empty list is not a valid path, since there + should be a one-to-one correspondence between paths as lists of + nodes and paths as lists of edges. + + """ + G = nx.trivial_graph() + assert not nx.is_simple_path(G, []) + + def test_trivial_path(self): + """Tests that the trivial path, a path of length one, is + considered a simple path in a graph. + + """ + G = nx.trivial_graph() + assert nx.is_simple_path(G, [0]) + + def test_trivial_nonpath(self): + """Tests that a list whose sole element is an object not in the + graph is not considered a simple path. + + """ + G = nx.trivial_graph() + assert not nx.is_simple_path(G, ["not a node"]) + + def test_simple_path(self): + G = nx.path_graph(2) + assert nx.is_simple_path(G, [0, 1]) + + def test_non_simple_path(self): + G = nx.path_graph(2) + assert not nx.is_simple_path(G, [0, 1, 0]) + + def test_cycle(self): + G = nx.cycle_graph(3) + assert not nx.is_simple_path(G, [0, 1, 2, 0]) + + def test_missing_node(self): + G = nx.path_graph(2) + assert not nx.is_simple_path(G, [0, 2]) + + def test_missing_starting_node(self): + G = nx.path_graph(2) + assert not nx.is_simple_path(G, [2, 0]) + + def test_directed_path(self): + G = nx.DiGraph([(0, 1), (1, 2)]) + assert nx.is_simple_path(G, [0, 1, 2]) + + def test_directed_non_path(self): + G = nx.DiGraph([(0, 1), (1, 2)]) + assert not nx.is_simple_path(G, [2, 1, 0]) + + def test_directed_cycle(self): + G = nx.DiGraph([(0, 1), (1, 2), (2, 0)]) + assert not nx.is_simple_path(G, [0, 1, 2, 0]) + + def test_multigraph(self): + G = nx.MultiGraph([(0, 1), (0, 1)]) + assert nx.is_simple_path(G, [0, 1]) + + def test_multidigraph(self): + G = nx.MultiDiGraph([(0, 1), (0, 1), (1, 0), (1, 0)]) + assert nx.is_simple_path(G, [0, 1]) + + +# Tests for all_simple_paths +def test_all_simple_paths(): + G = nx.path_graph(4) + paths = nx.all_simple_paths(G, 0, 3) + assert {tuple(p) for p in paths} == {(0, 1, 2, 3)} + + +def test_all_simple_paths_with_two_targets_emits_two_paths(): + G = nx.path_graph(4) + G.add_edge(2, 4) + paths = nx.all_simple_paths(G, 0, [3, 4]) + assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} + + +def test_digraph_all_simple_paths_with_two_targets_emits_two_paths(): + G = nx.path_graph(4, create_using=nx.DiGraph()) + G.add_edge(2, 4) + paths = nx.all_simple_paths(G, 0, [3, 4]) + assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} + + +def test_all_simple_paths_with_two_targets_cutoff(): + G = nx.path_graph(4) + G.add_edge(2, 4) + paths = nx.all_simple_paths(G, 0, [3, 4], cutoff=3) + assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} + + +def test_digraph_all_simple_paths_with_two_targets_cutoff(): + G = nx.path_graph(4, create_using=nx.DiGraph()) + G.add_edge(2, 4) + paths = nx.all_simple_paths(G, 0, [3, 4], cutoff=3) + assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} + + +def test_all_simple_paths_with_two_targets_in_line_emits_two_paths(): + G = nx.path_graph(4) + paths = nx.all_simple_paths(G, 0, [2, 3]) + assert {tuple(p) for p in paths} == {(0, 1, 2), (0, 1, 2, 3)} + + +def test_all_simple_paths_ignores_cycle(): + G = nx.cycle_graph(3, create_using=nx.DiGraph()) + G.add_edge(1, 3) + paths = nx.all_simple_paths(G, 0, 3) + assert {tuple(p) for p in paths} == {(0, 1, 3)} + + +def test_all_simple_paths_with_two_targets_inside_cycle_emits_two_paths(): + G = nx.cycle_graph(3, create_using=nx.DiGraph()) + G.add_edge(1, 3) + paths = nx.all_simple_paths(G, 0, [2, 3]) + assert {tuple(p) for p in paths} == {(0, 1, 2), (0, 1, 3)} + + +def test_all_simple_paths_source_target(): + G = nx.path_graph(4) + assert list(nx.all_simple_paths(G, 1, 1)) == [[1]] + + +def test_all_simple_paths_cutoff(): + G = nx.complete_graph(4) + paths = nx.all_simple_paths(G, 0, 1, cutoff=1) + assert {tuple(p) for p in paths} == {(0, 1)} + paths = nx.all_simple_paths(G, 0, 1, cutoff=2) + assert {tuple(p) for p in paths} == {(0, 1), (0, 2, 1), (0, 3, 1)} + + +def test_all_simple_paths_on_non_trivial_graph(): + """you may need to draw this graph to make sure it is reasonable""" + G = nx.path_graph(5, create_using=nx.DiGraph()) + G.add_edges_from([(0, 5), (1, 5), (1, 3), (5, 4), (4, 2), (4, 3)]) + paths = nx.all_simple_paths(G, 1, [2, 3]) + assert {tuple(p) for p in paths} == { + (1, 2), + (1, 3, 4, 2), + (1, 5, 4, 2), + (1, 3), + (1, 2, 3), + (1, 5, 4, 3), + (1, 5, 4, 2, 3), + } + paths = nx.all_simple_paths(G, 1, [2, 3], cutoff=3) + assert {tuple(p) for p in paths} == { + (1, 2), + (1, 3, 4, 2), + (1, 5, 4, 2), + (1, 3), + (1, 2, 3), + (1, 5, 4, 3), + } + paths = nx.all_simple_paths(G, 1, [2, 3], cutoff=2) + assert {tuple(p) for p in paths} == {(1, 2), (1, 3), (1, 2, 3)} + + +def test_all_simple_paths_multigraph(): + G = nx.MultiGraph([(1, 2), (1, 2)]) + assert list(nx.all_simple_paths(G, 1, 1)) == [[1]] + nx.add_path(G, [3, 1, 10, 2]) + paths = list(nx.all_simple_paths(G, 1, 2)) + assert len(paths) == 3 + assert {tuple(p) for p in paths} == {(1, 2), (1, 2), (1, 10, 2)} + + +def test_all_simple_paths_multigraph_with_cutoff(): + G = nx.MultiGraph([(1, 2), (1, 2), (1, 10), (10, 2)]) + paths = list(nx.all_simple_paths(G, 1, 2, cutoff=1)) + assert len(paths) == 2 + assert {tuple(p) for p in paths} == {(1, 2), (1, 2)} + + # See GitHub issue #6732. + G = nx.MultiGraph([(0, 1), (0, 2)]) + assert list(nx.all_simple_paths(G, 0, {1, 2}, cutoff=1)) == [[0, 1], [0, 2]] + + +def test_all_simple_paths_directed(): + G = nx.DiGraph() + nx.add_path(G, [1, 2, 3]) + nx.add_path(G, [3, 2, 1]) + paths = nx.all_simple_paths(G, 1, 3) + assert {tuple(p) for p in paths} == {(1, 2, 3)} + + +def test_all_simple_paths_empty(): + G = nx.path_graph(4) + paths = nx.all_simple_paths(G, 0, 3, cutoff=2) + assert list(paths) == [] + + +def test_all_simple_paths_corner_cases(): + assert list(nx.all_simple_paths(nx.empty_graph(2), 0, 0)) == [[0]] + assert list(nx.all_simple_paths(nx.empty_graph(2), 0, 1)) == [] + assert list(nx.all_simple_paths(nx.path_graph(9), 0, 8, 0)) == [] + + +def test_all_simple_paths_source_in_targets(): + # See GitHub issue #6690. + G = nx.path_graph(3) + assert list(nx.all_simple_paths(G, 0, {0, 1, 2})) == [[0], [0, 1], [0, 1, 2]] + + +def hamiltonian_path(G, source): + source = arbitrary_element(G) + neighbors = set(G[source]) - {source} + n = len(G) + for target in neighbors: + for path in nx.all_simple_paths(G, source, target): + if len(path) == n: + yield path + + +def test_hamiltonian_path(): + from itertools import permutations + + G = nx.complete_graph(4) + paths = [list(p) for p in hamiltonian_path(G, 0)] + exact = [[0] + list(p) for p in permutations([1, 2, 3], 3)] + assert sorted(paths) == sorted(exact) + + +def test_cutoff_zero(): + G = nx.complete_graph(4) + paths = nx.all_simple_paths(G, 0, 3, cutoff=0) + assert [list(p) for p in paths] == [] + paths = nx.all_simple_paths(nx.MultiGraph(G), 0, 3, cutoff=0) + assert [list(p) for p in paths] == [] + + +def test_source_missing(): + with pytest.raises(nx.NodeNotFound): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + list(nx.all_simple_paths(nx.MultiGraph(G), 0, 3)) + + +def test_target_missing(): + with pytest.raises(nx.NodeNotFound): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + list(nx.all_simple_paths(nx.MultiGraph(G), 1, 4)) + + +# Tests for all_simple_edge_paths +def test_all_simple_edge_paths(): + G = nx.path_graph(4) + paths = nx.all_simple_edge_paths(G, 0, 3) + assert {tuple(p) for p in paths} == {((0, 1), (1, 2), (2, 3))} + + +def test_all_simple_edge_paths_empty_path(): + G = nx.empty_graph(1) + assert list(nx.all_simple_edge_paths(G, 0, 0)) == [[]] + + +def test_all_simple_edge_paths_with_two_targets_emits_two_paths(): + G = nx.path_graph(4) + G.add_edge(2, 4) + paths = nx.all_simple_edge_paths(G, 0, [3, 4]) + assert {tuple(p) for p in paths} == { + ((0, 1), (1, 2), (2, 3)), + ((0, 1), (1, 2), (2, 4)), + } + + +def test_digraph_all_simple_edge_paths_with_two_targets_emits_two_paths(): + G = nx.path_graph(4, create_using=nx.DiGraph()) + G.add_edge(2, 4) + paths = nx.all_simple_edge_paths(G, 0, [3, 4]) + assert {tuple(p) for p in paths} == { + ((0, 1), (1, 2), (2, 3)), + ((0, 1), (1, 2), (2, 4)), + } + + +def test_all_simple_edge_paths_with_two_targets_cutoff(): + G = nx.path_graph(4) + G.add_edge(2, 4) + paths = nx.all_simple_edge_paths(G, 0, [3, 4], cutoff=3) + assert {tuple(p) for p in paths} == { + ((0, 1), (1, 2), (2, 3)), + ((0, 1), (1, 2), (2, 4)), + } + + +def test_digraph_all_simple_edge_paths_with_two_targets_cutoff(): + G = nx.path_graph(4, create_using=nx.DiGraph()) + G.add_edge(2, 4) + paths = nx.all_simple_edge_paths(G, 0, [3, 4], cutoff=3) + assert {tuple(p) for p in paths} == { + ((0, 1), (1, 2), (2, 3)), + ((0, 1), (1, 2), (2, 4)), + } + + +def test_all_simple_edge_paths_with_two_targets_in_line_emits_two_paths(): + G = nx.path_graph(4) + paths = nx.all_simple_edge_paths(G, 0, [2, 3]) + assert {tuple(p) for p in paths} == {((0, 1), (1, 2)), ((0, 1), (1, 2), (2, 3))} + + +def test_all_simple_edge_paths_ignores_cycle(): + G = nx.cycle_graph(3, create_using=nx.DiGraph()) + G.add_edge(1, 3) + paths = nx.all_simple_edge_paths(G, 0, 3) + assert {tuple(p) for p in paths} == {((0, 1), (1, 3))} + + +def test_all_simple_edge_paths_with_two_targets_inside_cycle_emits_two_paths(): + G = nx.cycle_graph(3, create_using=nx.DiGraph()) + G.add_edge(1, 3) + paths = nx.all_simple_edge_paths(G, 0, [2, 3]) + assert {tuple(p) for p in paths} == {((0, 1), (1, 2)), ((0, 1), (1, 3))} + + +def test_all_simple_edge_paths_source_target(): + G = nx.path_graph(4) + paths = nx.all_simple_edge_paths(G, 1, 1) + assert list(paths) == [[]] + + +def test_all_simple_edge_paths_cutoff(): + G = nx.complete_graph(4) + paths = nx.all_simple_edge_paths(G, 0, 1, cutoff=1) + assert {tuple(p) for p in paths} == {((0, 1),)} + paths = nx.all_simple_edge_paths(G, 0, 1, cutoff=2) + assert {tuple(p) for p in paths} == {((0, 1),), ((0, 2), (2, 1)), ((0, 3), (3, 1))} + + +def test_all_simple_edge_paths_on_non_trivial_graph(): + """you may need to draw this graph to make sure it is reasonable""" + G = nx.path_graph(5, create_using=nx.DiGraph()) + G.add_edges_from([(0, 5), (1, 5), (1, 3), (5, 4), (4, 2), (4, 3)]) + paths = nx.all_simple_edge_paths(G, 1, [2, 3]) + assert {tuple(p) for p in paths} == { + ((1, 2),), + ((1, 3), (3, 4), (4, 2)), + ((1, 5), (5, 4), (4, 2)), + ((1, 3),), + ((1, 2), (2, 3)), + ((1, 5), (5, 4), (4, 3)), + ((1, 5), (5, 4), (4, 2), (2, 3)), + } + paths = nx.all_simple_edge_paths(G, 1, [2, 3], cutoff=3) + assert {tuple(p) for p in paths} == { + ((1, 2),), + ((1, 3), (3, 4), (4, 2)), + ((1, 5), (5, 4), (4, 2)), + ((1, 3),), + ((1, 2), (2, 3)), + ((1, 5), (5, 4), (4, 3)), + } + paths = nx.all_simple_edge_paths(G, 1, [2, 3], cutoff=2) + assert {tuple(p) for p in paths} == {((1, 2),), ((1, 3),), ((1, 2), (2, 3))} + + +def test_all_simple_edge_paths_multigraph(): + G = nx.MultiGraph([(1, 2), (1, 2)]) + paths = nx.all_simple_edge_paths(G, 1, 1) + assert list(paths) == [[]] + nx.add_path(G, [3, 1, 10, 2]) + paths = list(nx.all_simple_edge_paths(G, 1, 2)) + assert len(paths) == 3 + assert {tuple(p) for p in paths} == { + ((1, 2, 0),), + ((1, 2, 1),), + ((1, 10, 0), (10, 2, 0)), + } + + +def test_all_simple_edge_paths_multigraph_with_cutoff(): + G = nx.MultiGraph([(1, 2), (1, 2), (1, 10), (10, 2)]) + paths = list(nx.all_simple_edge_paths(G, 1, 2, cutoff=1)) + assert len(paths) == 2 + assert {tuple(p) for p in paths} == {((1, 2, 0),), ((1, 2, 1),)} + + +def test_all_simple_edge_paths_directed(): + G = nx.DiGraph() + nx.add_path(G, [1, 2, 3]) + nx.add_path(G, [3, 2, 1]) + paths = nx.all_simple_edge_paths(G, 1, 3) + assert {tuple(p) for p in paths} == {((1, 2), (2, 3))} + + +def test_all_simple_edge_paths_empty(): + G = nx.path_graph(4) + paths = nx.all_simple_edge_paths(G, 0, 3, cutoff=2) + assert list(paths) == [] + + +def test_all_simple_edge_paths_corner_cases(): + assert list(nx.all_simple_edge_paths(nx.empty_graph(2), 0, 0)) == [[]] + assert list(nx.all_simple_edge_paths(nx.empty_graph(2), 0, 1)) == [] + assert list(nx.all_simple_edge_paths(nx.path_graph(9), 0, 8, 0)) == [] + + +def test_all_simple_edge_paths_ignores_self_loop(): + G = nx.Graph([(0, 0), (0, 1), (1, 1), (1, 2)]) + assert list(nx.all_simple_edge_paths(G, 0, 2)) == [[(0, 1), (1, 2)]] + + +def hamiltonian_edge_path(G, source): + source = arbitrary_element(G) + neighbors = set(G[source]) - {source} + n = len(G) + for target in neighbors: + for path in nx.all_simple_edge_paths(G, source, target): + if len(path) == n - 1: + yield path + + +def test_hamiltonian__edge_path(): + from itertools import permutations + + G = nx.complete_graph(4) + paths = hamiltonian_edge_path(G, 0) + exact = [list(pairwise([0] + list(p))) for p in permutations([1, 2, 3], 3)] + assert sorted(exact) == sorted(paths) + + +def test_edge_cutoff_zero(): + G = nx.complete_graph(4) + paths = nx.all_simple_edge_paths(G, 0, 3, cutoff=0) + assert [list(p) for p in paths] == [] + paths = nx.all_simple_edge_paths(nx.MultiGraph(G), 0, 3, cutoff=0) + assert [list(p) for p in paths] == [] + + +def test_edge_source_missing(): + with pytest.raises(nx.NodeNotFound): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + list(nx.all_simple_edge_paths(nx.MultiGraph(G), 0, 3)) + + +def test_edge_target_missing(): + with pytest.raises(nx.NodeNotFound): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + list(nx.all_simple_edge_paths(nx.MultiGraph(G), 1, 4)) + + +# Tests for shortest_simple_paths +def test_shortest_simple_paths(): + G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") + paths = nx.shortest_simple_paths(G, 1, 12) + assert next(paths) == [1, 2, 3, 4, 8, 12] + assert next(paths) == [1, 5, 6, 7, 8, 12] + assert [len(path) for path in nx.shortest_simple_paths(G, 1, 12)] == sorted( + len(path) for path in nx.all_simple_paths(G, 1, 12) + ) + + +def test_shortest_simple_paths_singleton_path(): + G = nx.empty_graph(3) + assert list(nx.shortest_simple_paths(G, 0, 0)) == [[0]] + + +def test_shortest_simple_paths_directed(): + G = nx.cycle_graph(7, create_using=nx.DiGraph()) + paths = nx.shortest_simple_paths(G, 0, 3) + assert list(paths) == [[0, 1, 2, 3]] + + +def test_shortest_simple_paths_directed_with_weight_function(): + def cost(u, v, x): + return 1 + + G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") + paths = nx.shortest_simple_paths(G, 1, 12) + assert next(paths) == [1, 2, 3, 4, 8, 12] + assert next(paths) == [1, 5, 6, 7, 8, 12] + assert [ + len(path) for path in nx.shortest_simple_paths(G, 1, 12, weight=cost) + ] == sorted(len(path) for path in nx.all_simple_paths(G, 1, 12)) + + +def test_shortest_simple_paths_with_weight_function(): + def cost(u, v, x): + return 1 + + G = nx.cycle_graph(7, create_using=nx.DiGraph()) + paths = nx.shortest_simple_paths(G, 0, 3, weight=cost) + assert list(paths) == [[0, 1, 2, 3]] + + +def test_shortest_simple_paths_with_none_weight_function(): + def cost(u, v, x): + delta = abs(u - v) + # ignore interior edges + return 1 if (delta == 1 or delta == 4) else None + + G = nx.complete_graph(5) + paths = nx.shortest_simple_paths(G, 0, 2, weight=cost) + assert list(paths) == [[0, 1, 2], [0, 4, 3, 2]] + + +def test_Greg_Bernstein(): + g1 = nx.Graph() + g1.add_nodes_from(["N0", "N1", "N2", "N3", "N4"]) + g1.add_edge("N4", "N1", weight=10.0, capacity=50, name="L5") + g1.add_edge("N4", "N0", weight=7.0, capacity=40, name="L4") + g1.add_edge("N0", "N1", weight=10.0, capacity=45, name="L1") + g1.add_edge("N3", "N0", weight=10.0, capacity=50, name="L0") + g1.add_edge("N2", "N3", weight=12.0, capacity=30, name="L2") + g1.add_edge("N1", "N2", weight=15.0, capacity=42, name="L3") + solution = [["N1", "N0", "N3"], ["N1", "N2", "N3"], ["N1", "N4", "N0", "N3"]] + result = list(nx.shortest_simple_paths(g1, "N1", "N3", weight="weight")) + assert result == solution + + +def test_weighted_shortest_simple_path(): + def cost_func(path): + return sum(G.adj[u][v]["weight"] for (u, v) in zip(path, path[1:])) + + G = nx.complete_graph(5) + weight = {(u, v): random.randint(1, 100) for (u, v) in G.edges()} + nx.set_edge_attributes(G, weight, "weight") + cost = 0 + for path in nx.shortest_simple_paths(G, 0, 3, weight="weight"): + this_cost = cost_func(path) + assert cost <= this_cost + cost = this_cost + + +def test_directed_weighted_shortest_simple_path(): + def cost_func(path): + return sum(G.adj[u][v]["weight"] for (u, v) in zip(path, path[1:])) + + G = nx.complete_graph(5) + G = G.to_directed() + weight = {(u, v): random.randint(1, 100) for (u, v) in G.edges()} + nx.set_edge_attributes(G, weight, "weight") + cost = 0 + for path in nx.shortest_simple_paths(G, 0, 3, weight="weight"): + this_cost = cost_func(path) + assert cost <= this_cost + cost = this_cost + + +def test_weighted_shortest_simple_path_issue2427(): + G = nx.Graph() + G.add_edge("IN", "OUT", weight=2) + G.add_edge("IN", "A", weight=1) + G.add_edge("IN", "B", weight=2) + G.add_edge("B", "OUT", weight=2) + assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ + ["IN", "OUT"], + ["IN", "B", "OUT"], + ] + G = nx.Graph() + G.add_edge("IN", "OUT", weight=10) + G.add_edge("IN", "A", weight=1) + G.add_edge("IN", "B", weight=1) + G.add_edge("B", "OUT", weight=1) + assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ + ["IN", "B", "OUT"], + ["IN", "OUT"], + ] + + +def test_directed_weighted_shortest_simple_path_issue2427(): + G = nx.DiGraph() + G.add_edge("IN", "OUT", weight=2) + G.add_edge("IN", "A", weight=1) + G.add_edge("IN", "B", weight=2) + G.add_edge("B", "OUT", weight=2) + assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ + ["IN", "OUT"], + ["IN", "B", "OUT"], + ] + G = nx.DiGraph() + G.add_edge("IN", "OUT", weight=10) + G.add_edge("IN", "A", weight=1) + G.add_edge("IN", "B", weight=1) + G.add_edge("B", "OUT", weight=1) + assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ + ["IN", "B", "OUT"], + ["IN", "OUT"], + ] + + +def test_weight_name(): + G = nx.cycle_graph(7) + nx.set_edge_attributes(G, 1, "weight") + nx.set_edge_attributes(G, 1, "foo") + G.adj[1][2]["foo"] = 7 + paths = list(nx.shortest_simple_paths(G, 0, 3, weight="foo")) + solution = [[0, 6, 5, 4, 3], [0, 1, 2, 3]] + assert paths == solution + + +def test_ssp_source_missing(): + with pytest.raises(nx.NodeNotFound): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + list(nx.shortest_simple_paths(G, 0, 3)) + + +def test_ssp_target_missing(): + with pytest.raises(nx.NodeNotFound): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + list(nx.shortest_simple_paths(G, 1, 4)) + + +def test_ssp_multigraph(): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.MultiGraph() + nx.add_path(G, [1, 2, 3]) + list(nx.shortest_simple_paths(G, 1, 4)) + + +def test_ssp_source_missing2(): + with pytest.raises(nx.NetworkXNoPath): + G = nx.Graph() + nx.add_path(G, [0, 1, 2]) + nx.add_path(G, [3, 4, 5]) + list(nx.shortest_simple_paths(G, 0, 3)) + + +def test_bidirectional_shortest_path_restricted_cycle(): + cycle = nx.cycle_graph(7) + length, path = _bidirectional_shortest_path(cycle, 0, 3) + assert path == [0, 1, 2, 3] + length, path = _bidirectional_shortest_path(cycle, 0, 3, ignore_nodes=[1]) + assert path == [0, 6, 5, 4, 3] + + +def test_bidirectional_shortest_path_restricted_wheel(): + wheel = nx.wheel_graph(6) + length, path = _bidirectional_shortest_path(wheel, 1, 3) + assert path in [[1, 0, 3], [1, 2, 3]] + length, path = _bidirectional_shortest_path(wheel, 1, 3, ignore_nodes=[0]) + assert path == [1, 2, 3] + length, path = _bidirectional_shortest_path(wheel, 1, 3, ignore_nodes=[0, 2]) + assert path == [1, 5, 4, 3] + length, path = _bidirectional_shortest_path( + wheel, 1, 3, ignore_edges=[(1, 0), (5, 0), (2, 3)] + ) + assert path in [[1, 2, 0, 3], [1, 5, 4, 3]] + + +def test_bidirectional_shortest_path_restricted_directed_cycle(): + directed_cycle = nx.cycle_graph(7, create_using=nx.DiGraph()) + length, path = _bidirectional_shortest_path(directed_cycle, 0, 3) + assert path == [0, 1, 2, 3] + pytest.raises( + nx.NetworkXNoPath, + _bidirectional_shortest_path, + directed_cycle, + 0, + 3, + ignore_nodes=[1], + ) + length, path = _bidirectional_shortest_path( + directed_cycle, 0, 3, ignore_edges=[(2, 1)] + ) + assert path == [0, 1, 2, 3] + pytest.raises( + nx.NetworkXNoPath, + _bidirectional_shortest_path, + directed_cycle, + 0, + 3, + ignore_edges=[(1, 2)], + ) + + +def test_bidirectional_shortest_path_ignore(): + G = nx.Graph() + nx.add_path(G, [1, 2]) + nx.add_path(G, [1, 3]) + nx.add_path(G, [1, 4]) + pytest.raises( + nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[1] + ) + pytest.raises( + nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[2] + ) + G = nx.Graph() + nx.add_path(G, [1, 3]) + nx.add_path(G, [1, 4]) + nx.add_path(G, [3, 2]) + pytest.raises( + nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[1, 2] + ) + + +def validate_path(G, s, t, soln_len, path): + assert path[0] == s + assert path[-1] == t + assert soln_len == sum( + G[u][v].get("weight", 1) for u, v in zip(path[:-1], path[1:]) + ) + + +def validate_length_path(G, s, t, soln_len, length, path): + assert soln_len == length + validate_path(G, s, t, length, path) + + +def test_bidirectional_dijkstra_restricted(): + XG = nx.DiGraph() + XG.add_weighted_edges_from( + [ + ("s", "u", 10), + ("s", "x", 5), + ("u", "v", 1), + ("u", "x", 2), + ("v", "y", 1), + ("x", "u", 3), + ("x", "v", 5), + ("x", "y", 2), + ("y", "s", 7), + ("y", "v", 6), + ] + ) + + XG3 = nx.Graph() + XG3.add_weighted_edges_from( + [[0, 1, 2], [1, 2, 12], [2, 3, 1], [3, 4, 5], [4, 5, 1], [5, 0, 10]] + ) + validate_length_path(XG, "s", "v", 9, *_bidirectional_dijkstra(XG, "s", "v")) + validate_length_path( + XG, "s", "v", 10, *_bidirectional_dijkstra(XG, "s", "v", ignore_nodes=["u"]) + ) + validate_length_path( + XG, + "s", + "v", + 11, + *_bidirectional_dijkstra(XG, "s", "v", ignore_edges=[("s", "x")]), + ) + pytest.raises( + nx.NetworkXNoPath, + _bidirectional_dijkstra, + XG, + "s", + "v", + ignore_nodes=["u"], + ignore_edges=[("s", "x")], + ) + validate_length_path(XG3, 0, 3, 15, *_bidirectional_dijkstra(XG3, 0, 3)) + validate_length_path( + XG3, 0, 3, 16, *_bidirectional_dijkstra(XG3, 0, 3, ignore_nodes=[1]) + ) + validate_length_path( + XG3, 0, 3, 16, *_bidirectional_dijkstra(XG3, 0, 3, ignore_edges=[(2, 3)]) + ) + pytest.raises( + nx.NetworkXNoPath, + _bidirectional_dijkstra, + XG3, + 0, + 3, + ignore_nodes=[1], + ignore_edges=[(5, 4)], + ) + + +def test_bidirectional_dijkstra_no_path(): + with pytest.raises(nx.NetworkXNoPath): + G = nx.Graph() + nx.add_path(G, [1, 2, 3]) + nx.add_path(G, [4, 5, 6]) + _bidirectional_dijkstra(G, 1, 6) + + +def test_bidirectional_dijkstra_ignore(): + G = nx.Graph() + nx.add_path(G, [1, 2, 10]) + nx.add_path(G, [1, 3, 10]) + pytest.raises(nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[1]) + pytest.raises(nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[2]) + pytest.raises( + nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[1, 2] + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_smallworld.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_smallworld.py new file mode 100644 index 0000000000000000000000000000000000000000..d115dd99b796fc256341f1e8ff75fd4bc01b9b17 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_smallworld.py @@ -0,0 +1,78 @@ +import pytest + +pytest.importorskip("numpy") + +import random + +import networkx as nx +from networkx import lattice_reference, omega, random_reference, sigma + +rng = 42 + + +def test_random_reference(): + G = nx.connected_watts_strogatz_graph(50, 6, 0.1, seed=rng) + Gr = random_reference(G, niter=1, seed=rng) + C = nx.average_clustering(G) + Cr = nx.average_clustering(Gr) + assert C > Cr + + with pytest.raises(nx.NetworkXError): + next(random_reference(nx.Graph())) + with pytest.raises(nx.NetworkXNotImplemented): + next(random_reference(nx.DiGraph())) + + H = nx.Graph(((0, 1), (2, 3))) + Hl = random_reference(H, niter=1, seed=rng) + + +def test_lattice_reference(): + G = nx.connected_watts_strogatz_graph(50, 6, 1, seed=rng) + Gl = lattice_reference(G, niter=1, seed=rng) + L = nx.average_shortest_path_length(G) + Ll = nx.average_shortest_path_length(Gl) + assert Ll > L + + pytest.raises(nx.NetworkXError, lattice_reference, nx.Graph()) + pytest.raises(nx.NetworkXNotImplemented, lattice_reference, nx.DiGraph()) + + H = nx.Graph(((0, 1), (2, 3))) + Hl = lattice_reference(H, niter=1) + + +def test_sigma(): + Gs = nx.connected_watts_strogatz_graph(50, 6, 0.1, seed=rng) + Gr = nx.connected_watts_strogatz_graph(50, 6, 1, seed=rng) + sigmas = sigma(Gs, niter=1, nrand=2, seed=rng) + sigmar = sigma(Gr, niter=1, nrand=2, seed=rng) + assert sigmar < sigmas + + +def test_omega(): + Gl = nx.connected_watts_strogatz_graph(50, 6, 0, seed=rng) + Gr = nx.connected_watts_strogatz_graph(50, 6, 1, seed=rng) + Gs = nx.connected_watts_strogatz_graph(50, 6, 0.1, seed=rng) + omegal = omega(Gl, niter=1, nrand=1, seed=rng) + omegar = omega(Gr, niter=1, nrand=1, seed=rng) + omegas = omega(Gs, niter=1, nrand=1, seed=rng) + assert omegal < omegas and omegas < omegar + + # Test that omega lies within the [-1, 1] bounds + G_barbell = nx.barbell_graph(5, 1) + G_karate = nx.karate_club_graph() + + omega_barbell = nx.omega(G_barbell) + omega_karate = nx.omega(G_karate, nrand=2) + + omegas = (omegal, omegar, omegas, omega_barbell, omega_karate) + + for o in omegas: + assert -1 <= o <= 1 + + +@pytest.mark.parametrize("f", (nx.random_reference, nx.lattice_reference)) +def test_graph_no_edges(f): + G = nx.Graph() + G.add_nodes_from([0, 1, 2, 3]) + with pytest.raises(nx.NetworkXError, match="Graph has fewer that 2 edges"): + f(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_smetric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_smetric.py new file mode 100644 index 0000000000000000000000000000000000000000..528dbc8d69bf5dca221c17cd16118cf3ba01a2a9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_smetric.py @@ -0,0 +1,8 @@ +import pytest + +import networkx as nx + + +def test_smetric(): + G = nx.Graph([(1, 2), (2, 3), (2, 4), (1, 4)]) + assert nx.s_metric(G) == 19.0 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_sparsifiers.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_sparsifiers.py new file mode 100644 index 0000000000000000000000000000000000000000..e8604e61ae45aca9092226a793a02b082b126738 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_sparsifiers.py @@ -0,0 +1,138 @@ +"""Unit tests for the sparsifier computation functions.""" + +import pytest + +import networkx as nx +from networkx.utils import py_random_state + +_seed = 2 + + +def _test_spanner(G, spanner, stretch, weight=None): + """Test whether a spanner is valid. + + This function tests whether the given spanner is a subgraph of the + given graph G with the same node set. It also tests for all shortest + paths whether they adhere to the given stretch. + + Parameters + ---------- + G : NetworkX graph + The original graph for which the spanner was constructed. + + spanner : NetworkX graph + The spanner to be tested. + + stretch : float + The proclaimed stretch of the spanner. + + weight : object + The edge attribute to use as distance. + """ + # check node set + assert set(G.nodes()) == set(spanner.nodes()) + + # check edge set and weights + for u, v in spanner.edges(): + assert G.has_edge(u, v) + if weight: + assert spanner[u][v][weight] == G[u][v][weight] + + # check connectivity and stretch + original_length = dict(nx.shortest_path_length(G, weight=weight)) + spanner_length = dict(nx.shortest_path_length(spanner, weight=weight)) + for u in G.nodes(): + for v in G.nodes(): + if u in original_length and v in original_length[u]: + assert spanner_length[u][v] <= stretch * original_length[u][v] + + +@py_random_state(1) +def _assign_random_weights(G, seed=None): + """Assigns random weights to the edges of a graph. + + Parameters + ---------- + + G : NetworkX graph + The original graph for which the spanner was constructed. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + """ + for u, v in G.edges(): + G[u][v]["weight"] = seed.random() + + +def test_spanner_trivial(): + """Test a trivial spanner with stretch 1.""" + G = nx.complete_graph(20) + spanner = nx.spanner(G, 1, seed=_seed) + + for u, v in G.edges: + assert spanner.has_edge(u, v) + + +def test_spanner_unweighted_complete_graph(): + """Test spanner construction on a complete unweighted graph.""" + G = nx.complete_graph(20) + + spanner = nx.spanner(G, 4, seed=_seed) + _test_spanner(G, spanner, 4) + + spanner = nx.spanner(G, 10, seed=_seed) + _test_spanner(G, spanner, 10) + + +def test_spanner_weighted_complete_graph(): + """Test spanner construction on a complete weighted graph.""" + G = nx.complete_graph(20) + _assign_random_weights(G, seed=_seed) + + spanner = nx.spanner(G, 4, weight="weight", seed=_seed) + _test_spanner(G, spanner, 4, weight="weight") + + spanner = nx.spanner(G, 10, weight="weight", seed=_seed) + _test_spanner(G, spanner, 10, weight="weight") + + +def test_spanner_unweighted_gnp_graph(): + """Test spanner construction on an unweighted gnp graph.""" + G = nx.gnp_random_graph(20, 0.4, seed=_seed) + + spanner = nx.spanner(G, 4, seed=_seed) + _test_spanner(G, spanner, 4) + + spanner = nx.spanner(G, 10, seed=_seed) + _test_spanner(G, spanner, 10) + + +def test_spanner_weighted_gnp_graph(): + """Test spanner construction on an weighted gnp graph.""" + G = nx.gnp_random_graph(20, 0.4, seed=_seed) + _assign_random_weights(G, seed=_seed) + + spanner = nx.spanner(G, 4, weight="weight", seed=_seed) + _test_spanner(G, spanner, 4, weight="weight") + + spanner = nx.spanner(G, 10, weight="weight", seed=_seed) + _test_spanner(G, spanner, 10, weight="weight") + + +def test_spanner_unweighted_disconnected_graph(): + """Test spanner construction on a disconnected graph.""" + G = nx.disjoint_union(nx.complete_graph(10), nx.complete_graph(10)) + + spanner = nx.spanner(G, 4, seed=_seed) + _test_spanner(G, spanner, 4) + + spanner = nx.spanner(G, 10, seed=_seed) + _test_spanner(G, spanner, 10) + + +def test_spanner_invalid_stretch(): + """Check whether an invalid stretch is caught.""" + with pytest.raises(ValueError): + G = nx.empty_graph() + nx.spanner(G, 0) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_structuralholes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_structuralholes.py new file mode 100644 index 0000000000000000000000000000000000000000..1e5952b2347d22f7e25c055426d414ac26632c33 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_structuralholes.py @@ -0,0 +1,137 @@ +"""Unit tests for the :mod:`networkx.algorithms.structuralholes` module.""" + +import math + +import pytest + +import networkx as nx +from networkx.classes.tests import dispatch_interface + + +class TestStructuralHoles: + """Unit tests for computing measures of structural holes. + + The expected values for these functions were originally computed using the + proprietary software `UCINET`_ and the free software `IGraph`_ , and then + computed by hand to make sure that the results are correct. + + .. _UCINET: https://sites.google.com/site/ucinetsoftware/home + .. _IGraph: http://igraph.org/ + + """ + + def setup_method(self): + self.D = nx.DiGraph() + self.D.add_edges_from([(0, 1), (0, 2), (1, 0), (2, 1)]) + self.D_weights = {(0, 1): 2, (0, 2): 2, (1, 0): 1, (2, 1): 1} + # Example from http://www.analytictech.com/connections/v20(1)/holes.htm + self.G = nx.Graph() + self.G.add_edges_from( + [ + ("A", "B"), + ("A", "F"), + ("A", "G"), + ("A", "E"), + ("E", "G"), + ("F", "G"), + ("B", "G"), + ("B", "D"), + ("D", "G"), + ("G", "C"), + ] + ) + self.G_weights = { + ("A", "B"): 2, + ("A", "F"): 3, + ("A", "G"): 5, + ("A", "E"): 2, + ("E", "G"): 8, + ("F", "G"): 3, + ("B", "G"): 4, + ("B", "D"): 1, + ("D", "G"): 3, + ("G", "C"): 10, + } + + def test_constraint_directed(self): + constraint = nx.constraint(self.D) + assert constraint[0] == pytest.approx(1.003, abs=1e-3) + assert constraint[1] == pytest.approx(1.003, abs=1e-3) + assert constraint[2] == pytest.approx(1.389, abs=1e-3) + + def test_effective_size_directed(self): + effective_size = nx.effective_size(self.D) + assert effective_size[0] == pytest.approx(1.167, abs=1e-3) + assert effective_size[1] == pytest.approx(1.167, abs=1e-3) + assert effective_size[2] == pytest.approx(1, abs=1e-3) + + def test_constraint_weighted_directed(self): + D = self.D.copy() + nx.set_edge_attributes(D, self.D_weights, "weight") + constraint = nx.constraint(D, weight="weight") + assert constraint[0] == pytest.approx(0.840, abs=1e-3) + assert constraint[1] == pytest.approx(1.143, abs=1e-3) + assert constraint[2] == pytest.approx(1.378, abs=1e-3) + + def test_effective_size_weighted_directed(self): + D = self.D.copy() + nx.set_edge_attributes(D, self.D_weights, "weight") + effective_size = nx.effective_size(D, weight="weight") + assert effective_size[0] == pytest.approx(1.567, abs=1e-3) + assert effective_size[1] == pytest.approx(1.083, abs=1e-3) + assert effective_size[2] == pytest.approx(1, abs=1e-3) + + def test_constraint_undirected(self): + constraint = nx.constraint(self.G) + assert constraint["G"] == pytest.approx(0.400, abs=1e-3) + assert constraint["A"] == pytest.approx(0.595, abs=1e-3) + assert constraint["C"] == pytest.approx(1, abs=1e-3) + + def test_effective_size_undirected_borgatti(self): + effective_size = nx.effective_size(self.G) + assert effective_size["G"] == pytest.approx(4.67, abs=1e-2) + assert effective_size["A"] == pytest.approx(2.50, abs=1e-2) + assert effective_size["C"] == pytest.approx(1, abs=1e-2) + + def test_effective_size_undirected(self): + G = self.G.copy() + nx.set_edge_attributes(G, 1, "weight") + effective_size = nx.effective_size(G, weight="weight") + assert effective_size["G"] == pytest.approx(4.67, abs=1e-2) + assert effective_size["A"] == pytest.approx(2.50, abs=1e-2) + assert effective_size["C"] == pytest.approx(1, abs=1e-2) + + def test_constraint_weighted_undirected(self): + G = self.G.copy() + nx.set_edge_attributes(G, self.G_weights, "weight") + constraint = nx.constraint(G, weight="weight") + assert constraint["G"] == pytest.approx(0.299, abs=1e-3) + assert constraint["A"] == pytest.approx(0.795, abs=1e-3) + assert constraint["C"] == pytest.approx(1, abs=1e-3) + + def test_effective_size_weighted_undirected(self): + G = self.G.copy() + nx.set_edge_attributes(G, self.G_weights, "weight") + effective_size = nx.effective_size(G, weight="weight") + assert effective_size["G"] == pytest.approx(5.47, abs=1e-2) + assert effective_size["A"] == pytest.approx(2.47, abs=1e-2) + assert effective_size["C"] == pytest.approx(1, abs=1e-2) + + def test_constraint_isolated(self): + G = self.G.copy() + G.add_node(1) + constraint = nx.constraint(G) + assert math.isnan(constraint[1]) + + def test_effective_size_isolated(self): + G = self.G.copy() + G.add_node(1) + nx.set_edge_attributes(G, self.G_weights, "weight") + effective_size = nx.effective_size(G, weight="weight") + assert math.isnan(effective_size[1]) + + def test_effective_size_borgatti_isolated(self): + G = self.G.copy() + G.add_node(1) + effective_size = nx.effective_size(G) + assert math.isnan(effective_size[1]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_summarization.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_summarization.py new file mode 100644 index 0000000000000000000000000000000000000000..c3bf82fa53b2564b13e555d994bd73b5885e1915 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_summarization.py @@ -0,0 +1,642 @@ +""" +Unit tests for dedensification and graph summarization +""" + +import pytest + +import networkx as nx + + +class TestDirectedDedensification: + def build_original_graph(self): + original_matrix = [ + ("1", "BC"), + ("2", "ABC"), + ("3", ["A", "B", "6"]), + ("4", "ABC"), + ("5", "AB"), + ("6", ["5"]), + ("A", ["6"]), + ] + graph = nx.DiGraph() + for source, targets in original_matrix: + for target in targets: + graph.add_edge(source, target) + return graph + + def build_compressed_graph(self): + compressed_matrix = [ + ("1", "BC"), + ("2", ["ABC"]), + ("3", ["A", "B", "6"]), + ("4", ["ABC"]), + ("5", "AB"), + ("6", ["5"]), + ("A", ["6"]), + ("ABC", "ABC"), + ] + compressed_graph = nx.DiGraph() + for source, targets in compressed_matrix: + for target in targets: + compressed_graph.add_edge(source, target) + return compressed_graph + + def test_empty(self): + """ + Verify that an empty directed graph results in no compressor nodes + """ + G = nx.DiGraph() + compressed_graph, c_nodes = nx.dedensify(G, threshold=2) + assert c_nodes == set() + + @staticmethod + def densify(G, compressor_nodes, copy=True): + """ + Reconstructs the original graph from a dedensified, directed graph + + Parameters + ---------- + G: dedensified graph + A networkx graph + compressor_nodes: iterable + Iterable of compressor nodes in the dedensified graph + inplace: bool, optional (default: False) + Indicates if densification should be done inplace + + Returns + ------- + G: graph + A densified networkx graph + """ + if copy: + G = G.copy() + for compressor_node in compressor_nodes: + all_neighbors = set(nx.all_neighbors(G, compressor_node)) + out_neighbors = set(G.neighbors(compressor_node)) + for out_neighbor in out_neighbors: + G.remove_edge(compressor_node, out_neighbor) + in_neighbors = all_neighbors - out_neighbors + for in_neighbor in in_neighbors: + G.remove_edge(in_neighbor, compressor_node) + for out_neighbor in out_neighbors: + G.add_edge(in_neighbor, out_neighbor) + G.remove_node(compressor_node) + return G + + def setup_method(self): + self.c_nodes = ("ABC",) + + def test_dedensify_edges(self): + """ + Verifies that dedensify produced the correct edges to/from compressor + nodes in a directed graph + """ + G = self.build_original_graph() + compressed_G = self.build_compressed_graph() + compressed_graph, c_nodes = nx.dedensify(G, threshold=2) + for s, t in compressed_graph.edges(): + o_s = "".join(sorted(s)) + o_t = "".join(sorted(t)) + compressed_graph_exists = compressed_graph.has_edge(s, t) + verified_compressed_exists = compressed_G.has_edge(o_s, o_t) + assert compressed_graph_exists == verified_compressed_exists + assert len(c_nodes) == len(self.c_nodes) + + def test_dedensify_edge_count(self): + """ + Verifies that dedensify produced the correct number of compressor nodes + in a directed graph + """ + G = self.build_original_graph() + original_edge_count = len(G.edges()) + c_G, c_nodes = nx.dedensify(G, threshold=2) + compressed_edge_count = len(c_G.edges()) + assert compressed_edge_count <= original_edge_count + compressed_G = self.build_compressed_graph() + assert compressed_edge_count == len(compressed_G.edges()) + + def test_densify_edges(self): + """ + Verifies that densification produces the correct edges from the + original directed graph + """ + compressed_G = self.build_compressed_graph() + original_graph = self.densify(compressed_G, self.c_nodes, copy=True) + G = self.build_original_graph() + for s, t in G.edges(): + assert G.has_edge(s, t) == original_graph.has_edge(s, t) + + def test_densify_edge_count(self): + """ + Verifies that densification produces the correct number of edges in the + original directed graph + """ + compressed_G = self.build_compressed_graph() + compressed_edge_count = len(compressed_G.edges()) + original_graph = self.densify(compressed_G, self.c_nodes) + original_edge_count = len(original_graph.edges()) + assert compressed_edge_count <= original_edge_count + G = self.build_original_graph() + assert original_edge_count == len(G.edges()) + + +class TestUnDirectedDedensification: + def build_original_graph(self): + """ + Builds graph shown in the original research paper + """ + original_matrix = [ + ("1", "CB"), + ("2", "ABC"), + ("3", ["A", "B", "6"]), + ("4", "ABC"), + ("5", "AB"), + ("6", ["5"]), + ("A", ["6"]), + ] + graph = nx.Graph() + for source, targets in original_matrix: + for target in targets: + graph.add_edge(source, target) + return graph + + def test_empty(self): + """ + Verify that an empty undirected graph results in no compressor nodes + """ + G = nx.Graph() + compressed_G, c_nodes = nx.dedensify(G, threshold=2) + assert c_nodes == set() + + def setup_method(self): + self.c_nodes = ("6AB", "ABC") + + def build_compressed_graph(self): + compressed_matrix = [ + ("1", ["B", "C"]), + ("2", ["ABC"]), + ("3", ["6AB"]), + ("4", ["ABC"]), + ("5", ["6AB"]), + ("6", ["6AB", "A"]), + ("A", ["6AB", "ABC"]), + ("B", ["ABC", "6AB"]), + ("C", ["ABC"]), + ] + compressed_graph = nx.Graph() + for source, targets in compressed_matrix: + for target in targets: + compressed_graph.add_edge(source, target) + return compressed_graph + + def test_dedensify_edges(self): + """ + Verifies that dedensify produced correct compressor nodes and the + correct edges to/from the compressor nodes in an undirected graph + """ + G = self.build_original_graph() + c_G, c_nodes = nx.dedensify(G, threshold=2) + v_compressed_G = self.build_compressed_graph() + for s, t in c_G.edges(): + o_s = "".join(sorted(s)) + o_t = "".join(sorted(t)) + has_compressed_edge = c_G.has_edge(s, t) + verified_has_compressed_edge = v_compressed_G.has_edge(o_s, o_t) + assert has_compressed_edge == verified_has_compressed_edge + assert len(c_nodes) == len(self.c_nodes) + + def test_dedensify_edge_count(self): + """ + Verifies that dedensify produced the correct number of edges in an + undirected graph + """ + G = self.build_original_graph() + c_G, c_nodes = nx.dedensify(G, threshold=2, copy=True) + compressed_edge_count = len(c_G.edges()) + verified_original_edge_count = len(G.edges()) + assert compressed_edge_count <= verified_original_edge_count + verified_compressed_G = self.build_compressed_graph() + verified_compressed_edge_count = len(verified_compressed_G.edges()) + assert compressed_edge_count == verified_compressed_edge_count + + +@pytest.mark.parametrize( + "graph_type", [nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph] +) +def test_summarization_empty(graph_type): + G = graph_type() + summary_graph = nx.snap_aggregation(G, node_attributes=("color",)) + assert nx.is_isomorphic(summary_graph, G) + + +class AbstractSNAP: + node_attributes = ("color",) + + def build_original_graph(self): + pass + + def build_summary_graph(self): + pass + + def test_summary_graph(self): + original_graph = self.build_original_graph() + summary_graph = self.build_summary_graph() + + relationship_attributes = ("type",) + generated_summary_graph = nx.snap_aggregation( + original_graph, self.node_attributes, relationship_attributes + ) + relabeled_summary_graph = self.deterministic_labels(generated_summary_graph) + assert nx.is_isomorphic(summary_graph, relabeled_summary_graph) + + def deterministic_labels(self, G): + node_labels = list(G.nodes) + node_labels = sorted(node_labels, key=lambda n: sorted(G.nodes[n]["group"])[0]) + node_labels.sort() + + label_mapping = {} + for index, node in enumerate(node_labels): + label = f"Supernode-{index}" + label_mapping[node] = label + + return nx.relabel_nodes(G, label_mapping) + + +class TestSNAPNoEdgeTypes(AbstractSNAP): + relationship_attributes = () + + def test_summary_graph(self): + original_graph = self.build_original_graph() + summary_graph = self.build_summary_graph() + + relationship_attributes = ("type",) + generated_summary_graph = nx.snap_aggregation( + original_graph, self.node_attributes + ) + relabeled_summary_graph = self.deterministic_labels(generated_summary_graph) + assert nx.is_isomorphic(summary_graph, relabeled_summary_graph) + + def build_original_graph(self): + nodes = { + "A": {"color": "Red"}, + "B": {"color": "Red"}, + "C": {"color": "Red"}, + "D": {"color": "Red"}, + "E": {"color": "Blue"}, + "F": {"color": "Blue"}, + "G": {"color": "Blue"}, + "H": {"color": "Blue"}, + "I": {"color": "Yellow"}, + "J": {"color": "Yellow"}, + "K": {"color": "Yellow"}, + "L": {"color": "Yellow"}, + } + edges = [ + ("A", "B"), + ("A", "C"), + ("A", "E"), + ("A", "I"), + ("B", "D"), + ("B", "J"), + ("B", "F"), + ("C", "G"), + ("D", "H"), + ("I", "J"), + ("J", "K"), + ("I", "L"), + ] + G = nx.Graph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target in edges: + G.add_edge(source, target) + + return G + + def build_summary_graph(self): + nodes = { + "Supernode-0": {"color": "Red"}, + "Supernode-1": {"color": "Red"}, + "Supernode-2": {"color": "Blue"}, + "Supernode-3": {"color": "Blue"}, + "Supernode-4": {"color": "Yellow"}, + "Supernode-5": {"color": "Yellow"}, + } + edges = [ + ("Supernode-0", "Supernode-0"), + ("Supernode-0", "Supernode-1"), + ("Supernode-0", "Supernode-2"), + ("Supernode-0", "Supernode-4"), + ("Supernode-1", "Supernode-3"), + ("Supernode-4", "Supernode-4"), + ("Supernode-4", "Supernode-5"), + ] + G = nx.Graph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target in edges: + G.add_edge(source, target) + + supernodes = { + "Supernode-0": {"A", "B"}, + "Supernode-1": {"C", "D"}, + "Supernode-2": {"E", "F"}, + "Supernode-3": {"G", "H"}, + "Supernode-4": {"I", "J"}, + "Supernode-5": {"K", "L"}, + } + nx.set_node_attributes(G, supernodes, "group") + return G + + +class TestSNAPUndirected(AbstractSNAP): + def build_original_graph(self): + nodes = { + "A": {"color": "Red"}, + "B": {"color": "Red"}, + "C": {"color": "Red"}, + "D": {"color": "Red"}, + "E": {"color": "Blue"}, + "F": {"color": "Blue"}, + "G": {"color": "Blue"}, + "H": {"color": "Blue"}, + "I": {"color": "Yellow"}, + "J": {"color": "Yellow"}, + "K": {"color": "Yellow"}, + "L": {"color": "Yellow"}, + } + edges = [ + ("A", "B", "Strong"), + ("A", "C", "Weak"), + ("A", "E", "Strong"), + ("A", "I", "Weak"), + ("B", "D", "Weak"), + ("B", "J", "Weak"), + ("B", "F", "Strong"), + ("C", "G", "Weak"), + ("D", "H", "Weak"), + ("I", "J", "Strong"), + ("J", "K", "Strong"), + ("I", "L", "Strong"), + ] + G = nx.Graph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, type in edges: + G.add_edge(source, target, type=type) + + return G + + def build_summary_graph(self): + nodes = { + "Supernode-0": {"color": "Red"}, + "Supernode-1": {"color": "Red"}, + "Supernode-2": {"color": "Blue"}, + "Supernode-3": {"color": "Blue"}, + "Supernode-4": {"color": "Yellow"}, + "Supernode-5": {"color": "Yellow"}, + } + edges = [ + ("Supernode-0", "Supernode-0", "Strong"), + ("Supernode-0", "Supernode-1", "Weak"), + ("Supernode-0", "Supernode-2", "Strong"), + ("Supernode-0", "Supernode-4", "Weak"), + ("Supernode-1", "Supernode-3", "Weak"), + ("Supernode-4", "Supernode-4", "Strong"), + ("Supernode-4", "Supernode-5", "Strong"), + ] + G = nx.Graph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, type in edges: + G.add_edge(source, target, types=[{"type": type}]) + + supernodes = { + "Supernode-0": {"A", "B"}, + "Supernode-1": {"C", "D"}, + "Supernode-2": {"E", "F"}, + "Supernode-3": {"G", "H"}, + "Supernode-4": {"I", "J"}, + "Supernode-5": {"K", "L"}, + } + nx.set_node_attributes(G, supernodes, "group") + return G + + +class TestSNAPDirected(AbstractSNAP): + def build_original_graph(self): + nodes = { + "A": {"color": "Red"}, + "B": {"color": "Red"}, + "C": {"color": "Green"}, + "D": {"color": "Green"}, + "E": {"color": "Blue"}, + "F": {"color": "Blue"}, + "G": {"color": "Yellow"}, + "H": {"color": "Yellow"}, + } + edges = [ + ("A", "C", "Strong"), + ("A", "E", "Strong"), + ("A", "F", "Weak"), + ("B", "D", "Strong"), + ("B", "E", "Weak"), + ("B", "F", "Strong"), + ("C", "G", "Strong"), + ("C", "F", "Strong"), + ("D", "E", "Strong"), + ("D", "H", "Strong"), + ("G", "E", "Strong"), + ("H", "F", "Strong"), + ] + G = nx.DiGraph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, type in edges: + G.add_edge(source, target, type=type) + + return G + + def build_summary_graph(self): + nodes = { + "Supernode-0": {"color": "Red"}, + "Supernode-1": {"color": "Green"}, + "Supernode-2": {"color": "Blue"}, + "Supernode-3": {"color": "Yellow"}, + } + edges = [ + ("Supernode-0", "Supernode-1", [{"type": "Strong"}]), + ("Supernode-0", "Supernode-2", [{"type": "Weak"}, {"type": "Strong"}]), + ("Supernode-1", "Supernode-2", [{"type": "Strong"}]), + ("Supernode-1", "Supernode-3", [{"type": "Strong"}]), + ("Supernode-3", "Supernode-2", [{"type": "Strong"}]), + ] + G = nx.DiGraph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, types in edges: + G.add_edge(source, target, types=types) + + supernodes = { + "Supernode-0": {"A", "B"}, + "Supernode-1": {"C", "D"}, + "Supernode-2": {"E", "F"}, + "Supernode-3": {"G", "H"}, + "Supernode-4": {"I", "J"}, + "Supernode-5": {"K", "L"}, + } + nx.set_node_attributes(G, supernodes, "group") + return G + + +class TestSNAPUndirectedMulti(AbstractSNAP): + def build_original_graph(self): + nodes = { + "A": {"color": "Red"}, + "B": {"color": "Red"}, + "C": {"color": "Red"}, + "D": {"color": "Blue"}, + "E": {"color": "Blue"}, + "F": {"color": "Blue"}, + "G": {"color": "Yellow"}, + "H": {"color": "Yellow"}, + "I": {"color": "Yellow"}, + } + edges = [ + ("A", "D", ["Weak", "Strong"]), + ("B", "E", ["Weak", "Strong"]), + ("D", "I", ["Strong"]), + ("E", "H", ["Strong"]), + ("F", "G", ["Weak"]), + ("I", "G", ["Weak", "Strong"]), + ("I", "H", ["Weak", "Strong"]), + ("G", "H", ["Weak", "Strong"]), + ] + G = nx.MultiGraph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, types in edges: + for type in types: + G.add_edge(source, target, type=type) + + return G + + def build_summary_graph(self): + nodes = { + "Supernode-0": {"color": "Red"}, + "Supernode-1": {"color": "Blue"}, + "Supernode-2": {"color": "Yellow"}, + "Supernode-3": {"color": "Blue"}, + "Supernode-4": {"color": "Yellow"}, + "Supernode-5": {"color": "Red"}, + } + edges = [ + ("Supernode-1", "Supernode-2", [{"type": "Weak"}]), + ("Supernode-2", "Supernode-4", [{"type": "Weak"}, {"type": "Strong"}]), + ("Supernode-3", "Supernode-4", [{"type": "Strong"}]), + ("Supernode-3", "Supernode-5", [{"type": "Weak"}, {"type": "Strong"}]), + ("Supernode-4", "Supernode-4", [{"type": "Weak"}, {"type": "Strong"}]), + ] + G = nx.MultiGraph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, types in edges: + for type in types: + G.add_edge(source, target, type=type) + + supernodes = { + "Supernode-0": {"A", "B"}, + "Supernode-1": {"C", "D"}, + "Supernode-2": {"E", "F"}, + "Supernode-3": {"G", "H"}, + "Supernode-4": {"I", "J"}, + "Supernode-5": {"K", "L"}, + } + nx.set_node_attributes(G, supernodes, "group") + return G + + +class TestSNAPDirectedMulti(AbstractSNAP): + def build_original_graph(self): + nodes = { + "A": {"color": "Red"}, + "B": {"color": "Red"}, + "C": {"color": "Green"}, + "D": {"color": "Green"}, + "E": {"color": "Blue"}, + "F": {"color": "Blue"}, + "G": {"color": "Yellow"}, + "H": {"color": "Yellow"}, + } + edges = [ + ("A", "C", ["Weak", "Strong"]), + ("A", "E", ["Strong"]), + ("A", "F", ["Weak"]), + ("B", "D", ["Weak", "Strong"]), + ("B", "E", ["Weak"]), + ("B", "F", ["Strong"]), + ("C", "G", ["Weak", "Strong"]), + ("C", "F", ["Strong"]), + ("D", "E", ["Strong"]), + ("D", "H", ["Weak", "Strong"]), + ("G", "E", ["Strong"]), + ("H", "F", ["Strong"]), + ] + G = nx.MultiDiGraph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, types in edges: + for type in types: + G.add_edge(source, target, type=type) + + return G + + def build_summary_graph(self): + nodes = { + "Supernode-0": {"color": "Red"}, + "Supernode-1": {"color": "Blue"}, + "Supernode-2": {"color": "Yellow"}, + "Supernode-3": {"color": "Blue"}, + } + edges = [ + ("Supernode-0", "Supernode-1", ["Weak", "Strong"]), + ("Supernode-0", "Supernode-2", ["Weak", "Strong"]), + ("Supernode-1", "Supernode-2", ["Strong"]), + ("Supernode-1", "Supernode-3", ["Weak", "Strong"]), + ("Supernode-3", "Supernode-2", ["Strong"]), + ] + G = nx.MultiDiGraph() + for node in nodes: + attributes = nodes[node] + G.add_node(node, **attributes) + + for source, target, types in edges: + for type in types: + G.add_edge(source, target, type=type) + + supernodes = { + "Supernode-0": {"A", "B"}, + "Supernode-1": {"C", "D"}, + "Supernode-2": {"E", "F"}, + "Supernode-3": {"G", "H"}, + } + nx.set_node_attributes(G, supernodes, "group") + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_swap.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_swap.py new file mode 100644 index 0000000000000000000000000000000000000000..e765bd5e11496841072990aa792b90ca8772b4d3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_swap.py @@ -0,0 +1,179 @@ +import pytest + +import networkx as nx + +cycle = nx.cycle_graph(5, create_using=nx.DiGraph) +tree = nx.DiGraph() +tree.add_edges_from(nx.random_labeled_tree(10, seed=42).edges) +path = nx.path_graph(5, create_using=nx.DiGraph) +binomial = nx.binomial_tree(3, create_using=nx.DiGraph) +HH = nx.directed_havel_hakimi_graph([1, 2, 1, 2, 2, 2], [3, 1, 0, 1, 2, 3]) +balanced_tree = nx.balanced_tree(2, 3, create_using=nx.DiGraph) + + +@pytest.mark.parametrize("G", [path, binomial, HH, cycle, tree, balanced_tree]) +def test_directed_edge_swap(G): + in_degree = set(G.in_degree) + out_degree = set(G.out_degree) + edges = set(G.edges) + nx.directed_edge_swap(G, nswap=1, max_tries=100, seed=1) + assert in_degree == set(G.in_degree) + assert out_degree == set(G.out_degree) + assert edges != set(G.edges) + assert 3 == sum(e not in edges for e in G.edges) + + +def test_directed_edge_swap_undo_previous_swap(): + G = nx.DiGraph(nx.path_graph(4).edges) # only 1 swap possible + edges = set(G.edges) + nx.directed_edge_swap(G, nswap=2, max_tries=100) + assert edges == set(G.edges) + + nx.directed_edge_swap(G, nswap=1, max_tries=100, seed=1) + assert {(0, 2), (1, 3), (2, 1)} == set(G.edges) + nx.directed_edge_swap(G, nswap=1, max_tries=100, seed=1) + assert edges == set(G.edges) + + +def test_edge_cases_directed_edge_swap(): + # Tests cases when swaps are impossible, either too few edges exist, or self loops/cycles are unavoidable + # TODO: Rewrite function to explicitly check for impossible swaps and raise error + e = ( + "Maximum number of swap attempts \\(11\\) exceeded " + "before desired swaps achieved \\(\\d\\)." + ) + graph = nx.DiGraph([(0, 0), (0, 1), (1, 0), (2, 3), (3, 2)]) + with pytest.raises(nx.NetworkXAlgorithmError, match=e): + nx.directed_edge_swap(graph, nswap=1, max_tries=10, seed=1) + + +def test_double_edge_swap(): + graph = nx.barabasi_albert_graph(200, 1) + degrees = sorted(d for n, d in graph.degree()) + G = nx.double_edge_swap(graph, 40) + assert degrees == sorted(d for n, d in graph.degree()) + + +def test_double_edge_swap_seed(): + graph = nx.barabasi_albert_graph(200, 1) + degrees = sorted(d for n, d in graph.degree()) + G = nx.double_edge_swap(graph, 40, seed=1) + assert degrees == sorted(d for n, d in graph.degree()) + + +def test_connected_double_edge_swap(): + graph = nx.barabasi_albert_graph(200, 1) + degrees = sorted(d for n, d in graph.degree()) + G = nx.connected_double_edge_swap(graph, 40, seed=1) + assert nx.is_connected(graph) + assert degrees == sorted(d for n, d in graph.degree()) + + +def test_connected_double_edge_swap_low_window_threshold(): + graph = nx.barabasi_albert_graph(200, 1) + degrees = sorted(d for n, d in graph.degree()) + G = nx.connected_double_edge_swap(graph, 40, _window_threshold=0, seed=1) + assert nx.is_connected(graph) + assert degrees == sorted(d for n, d in graph.degree()) + + +def test_connected_double_edge_swap_star(): + # Testing ui==xi in connected_double_edge_swap + graph = nx.star_graph(40) + degrees = sorted(d for n, d in graph.degree()) + G = nx.connected_double_edge_swap(graph, 1, seed=4) + assert nx.is_connected(graph) + assert degrees == sorted(d for n, d in graph.degree()) + + +def test_connected_double_edge_swap_star_low_window_threshold(): + # Testing ui==xi in connected_double_edge_swap with low window threshold + graph = nx.star_graph(40) + degrees = sorted(d for n, d in graph.degree()) + G = nx.connected_double_edge_swap(graph, 1, _window_threshold=0, seed=4) + assert nx.is_connected(graph) + assert degrees == sorted(d for n, d in graph.degree()) + + +def test_directed_edge_swap_small(): + with pytest.raises(nx.NetworkXError): + G = nx.directed_edge_swap(nx.path_graph(3, create_using=nx.DiGraph)) + + +def test_directed_edge_swap_tries(): + with pytest.raises(nx.NetworkXError): + G = nx.directed_edge_swap( + nx.path_graph(3, create_using=nx.DiGraph), nswap=1, max_tries=0 + ) + + +def test_directed_exception_undirected(): + graph = nx.Graph([(0, 1), (2, 3)]) + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.directed_edge_swap(graph) + + +def test_directed_edge_max_tries(): + with pytest.raises(nx.NetworkXAlgorithmError): + G = nx.directed_edge_swap( + nx.complete_graph(4, nx.DiGraph()), nswap=1, max_tries=5 + ) + + +def test_double_edge_swap_small(): + with pytest.raises(nx.NetworkXError): + G = nx.double_edge_swap(nx.path_graph(3)) + + +def test_double_edge_swap_tries(): + with pytest.raises(nx.NetworkXError): + G = nx.double_edge_swap(nx.path_graph(10), nswap=1, max_tries=0) + + +def test_double_edge_directed(): + graph = nx.DiGraph([(0, 1), (2, 3)]) + with pytest.raises(nx.NetworkXError, match="not defined for directed graphs."): + G = nx.double_edge_swap(graph) + + +def test_double_edge_max_tries(): + with pytest.raises(nx.NetworkXAlgorithmError): + G = nx.double_edge_swap(nx.complete_graph(4), nswap=1, max_tries=5) + + +def test_connected_double_edge_swap_small(): + with pytest.raises(nx.NetworkXError): + G = nx.connected_double_edge_swap(nx.path_graph(3)) + + +def test_connected_double_edge_swap_not_connected(): + with pytest.raises(nx.NetworkXError): + G = nx.path_graph(3) + nx.add_path(G, [10, 11, 12]) + G = nx.connected_double_edge_swap(G) + + +def test_degree_seq_c4(): + G = nx.cycle_graph(4) + degrees = sorted(d for n, d in G.degree()) + G = nx.double_edge_swap(G, 1, 100) + assert degrees == sorted(d for n, d in G.degree()) + + +def test_fewer_than_4_nodes(): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2]) + with pytest.raises(nx.NetworkXError, match=".*fewer than four nodes."): + nx.directed_edge_swap(G) + + +def test_less_than_3_edges(): + G = nx.DiGraph([(0, 1), (1, 2)]) + G.add_nodes_from([3, 4]) + with pytest.raises(nx.NetworkXError, match=".*fewer than 3 edges"): + nx.directed_edge_swap(G) + + G = nx.Graph() + G.add_nodes_from([0, 1, 2, 3]) + with pytest.raises(nx.NetworkXError, match=".*fewer than 2 edges"): + nx.double_edge_swap(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_threshold.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_threshold.py new file mode 100644 index 0000000000000000000000000000000000000000..07aad44bb268a42944260b4217bce15b1278ebfd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_threshold.py @@ -0,0 +1,269 @@ +""" +Threshold Graphs +================ +""" + +import pytest + +import networkx as nx +import networkx.algorithms.threshold as nxt +from networkx.algorithms.isomorphism.isomorph import graph_could_be_isomorphic + +cnlti = nx.convert_node_labels_to_integers + + +class TestGeneratorThreshold: + def test_threshold_sequence_graph_test(self): + G = nx.star_graph(10) + assert nxt.is_threshold_graph(G) + assert nxt.is_threshold_sequence([d for n, d in G.degree()]) + + G = nx.complete_graph(10) + assert nxt.is_threshold_graph(G) + assert nxt.is_threshold_sequence([d for n, d in G.degree()]) + + deg = [3, 2, 2, 1, 1, 1] + assert not nxt.is_threshold_sequence(deg) + + deg = [3, 2, 2, 1] + assert nxt.is_threshold_sequence(deg) + + G = nx.generators.havel_hakimi_graph(deg) + assert nxt.is_threshold_graph(G) + + def test_creation_sequences(self): + deg = [3, 2, 2, 1] + G = nx.generators.havel_hakimi_graph(deg) + + with pytest.raises(ValueError): + nxt.creation_sequence(deg, with_labels=True, compact=True) + + cs0 = nxt.creation_sequence(deg) + H0 = nxt.threshold_graph(cs0) + assert "".join(cs0) == "ddid" + + cs1 = nxt.creation_sequence(deg, with_labels=True) + H1 = nxt.threshold_graph(cs1) + assert cs1 == [(1, "d"), (2, "d"), (3, "i"), (0, "d")] + + cs2 = nxt.creation_sequence(deg, compact=True) + H2 = nxt.threshold_graph(cs2) + assert cs2 == [2, 1, 1] + assert "".join(nxt.uncompact(cs2)) == "ddid" + assert graph_could_be_isomorphic(H0, G) + assert graph_could_be_isomorphic(H0, H1) + assert graph_could_be_isomorphic(H0, H2) + + def test_make_compact(self): + assert nxt.make_compact(["d", "d", "d", "i", "d", "d"]) == [3, 1, 2] + assert nxt.make_compact([3, 1, 2]) == [3, 1, 2] + assert pytest.raises(TypeError, nxt.make_compact, [3.0, 1.0, 2.0]) + + def test_uncompact(self): + assert nxt.uncompact([3, 1, 2]) == ["d", "d", "d", "i", "d", "d"] + assert nxt.uncompact(["d", "d", "i", "d"]) == ["d", "d", "i", "d"] + assert nxt.uncompact( + nxt.uncompact([(1, "d"), (2, "d"), (3, "i"), (0, "d")]) + ) == nxt.uncompact([(1, "d"), (2, "d"), (3, "i"), (0, "d")]) + assert pytest.raises(TypeError, nxt.uncompact, [3.0, 1.0, 2.0]) + + def test_creation_sequence_to_weights(self): + assert nxt.creation_sequence_to_weights([3, 1, 2]) == [ + 0.5, + 0.5, + 0.5, + 0.25, + 0.75, + 0.75, + ] + assert pytest.raises( + TypeError, nxt.creation_sequence_to_weights, [3.0, 1.0, 2.0] + ) + + def test_weights_to_creation_sequence(self): + deg = [3, 2, 2, 1] + with pytest.raises(ValueError): + nxt.weights_to_creation_sequence(deg, with_labels=True, compact=True) + assert nxt.weights_to_creation_sequence(deg, with_labels=True) == [ + (3, "d"), + (1, "d"), + (2, "d"), + (0, "d"), + ] + assert nxt.weights_to_creation_sequence(deg, compact=True) == [4] + + def test_find_alternating_4_cycle(self): + G = nx.Graph() + G.add_edge(1, 2) + assert not nxt.find_alternating_4_cycle(G) + + def test_shortest_path(self): + deg = [3, 2, 2, 1] + G = nx.generators.havel_hakimi_graph(deg) + cs1 = nxt.creation_sequence(deg, with_labels=True) + for n, m in [(3, 0), (0, 3), (0, 2), (0, 1), (1, 3), (3, 1), (1, 2), (2, 3)]: + assert nxt.shortest_path(cs1, n, m) == nx.shortest_path(G, n, m) + + spl = nxt.shortest_path_length(cs1, 3) + spl2 = nxt.shortest_path_length([t for v, t in cs1], 2) + assert spl == spl2 + + spld = {} + for j, pl in enumerate(spl): + n = cs1[j][0] + spld[n] = pl + assert spld == nx.single_source_shortest_path_length(G, 3) + + assert nxt.shortest_path(["d", "d", "d", "i", "d", "d"], 1, 2) == [1, 2] + assert nxt.shortest_path([3, 1, 2], 1, 2) == [1, 2] + assert pytest.raises(TypeError, nxt.shortest_path, [3.0, 1.0, 2.0], 1, 2) + assert pytest.raises(ValueError, nxt.shortest_path, [3, 1, 2], "a", 2) + assert pytest.raises(ValueError, nxt.shortest_path, [3, 1, 2], 1, "b") + assert nxt.shortest_path([3, 1, 2], 1, 1) == [1] + + def test_shortest_path_length(self): + assert nxt.shortest_path_length([3, 1, 2], 1) == [1, 0, 1, 2, 1, 1] + assert nxt.shortest_path_length(["d", "d", "d", "i", "d", "d"], 1) == [ + 1, + 0, + 1, + 2, + 1, + 1, + ] + assert nxt.shortest_path_length(("d", "d", "d", "i", "d", "d"), 1) == [ + 1, + 0, + 1, + 2, + 1, + 1, + ] + assert pytest.raises(TypeError, nxt.shortest_path, [3.0, 1.0, 2.0], 1) + + def test_random_threshold_sequence(self): + assert len(nxt.random_threshold_sequence(10, 0.5)) == 10 + assert nxt.random_threshold_sequence(10, 0.5, seed=42) == [ + "d", + "i", + "d", + "d", + "d", + "i", + "i", + "i", + "d", + "d", + ] + assert pytest.raises(ValueError, nxt.random_threshold_sequence, 10, 1.5) + + def test_right_d_threshold_sequence(self): + assert nxt.right_d_threshold_sequence(3, 2) == ["d", "i", "d"] + assert pytest.raises(ValueError, nxt.right_d_threshold_sequence, 2, 3) + + def test_left_d_threshold_sequence(self): + assert nxt.left_d_threshold_sequence(3, 2) == ["d", "i", "d"] + assert pytest.raises(ValueError, nxt.left_d_threshold_sequence, 2, 3) + + def test_weights_thresholds(self): + wseq = [3, 4, 3, 3, 5, 6, 5, 4, 5, 6] + cs = nxt.weights_to_creation_sequence(wseq, threshold=10) + wseq = nxt.creation_sequence_to_weights(cs) + cs2 = nxt.weights_to_creation_sequence(wseq) + assert cs == cs2 + + wseq = nxt.creation_sequence_to_weights(nxt.uncompact([3, 1, 2, 3, 3, 2, 3])) + assert wseq == [ + s * 0.125 for s in [4, 4, 4, 3, 5, 5, 2, 2, 2, 6, 6, 6, 1, 1, 7, 7, 7] + ] + + wseq = nxt.creation_sequence_to_weights([3, 1, 2, 3, 3, 2, 3]) + assert wseq == [ + s * 0.125 for s in [4, 4, 4, 3, 5, 5, 2, 2, 2, 6, 6, 6, 1, 1, 7, 7, 7] + ] + + wseq = nxt.creation_sequence_to_weights(list(enumerate("ddidiiidididi"))) + assert wseq == [s * 0.1 for s in [5, 5, 4, 6, 3, 3, 3, 7, 2, 8, 1, 9, 0]] + + wseq = nxt.creation_sequence_to_weights("ddidiiidididi") + assert wseq == [s * 0.1 for s in [5, 5, 4, 6, 3, 3, 3, 7, 2, 8, 1, 9, 0]] + + wseq = nxt.creation_sequence_to_weights("ddidiiidididid") + ws = [s / 12 for s in [6, 6, 5, 7, 4, 4, 4, 8, 3, 9, 2, 10, 1, 11]] + assert sum(abs(c - d) for c, d in zip(wseq, ws)) < 1e-14 + + def test_finding_routines(self): + G = nx.Graph({1: [2], 2: [3], 3: [4], 4: [5], 5: [6]}) + G.add_edge(2, 4) + G.add_edge(2, 5) + G.add_edge(2, 7) + G.add_edge(3, 6) + G.add_edge(4, 6) + + # Alternating 4 cycle + assert nxt.find_alternating_4_cycle(G) == [1, 2, 3, 6] + + # Threshold graph + TG = nxt.find_threshold_graph(G) + assert nxt.is_threshold_graph(TG) + assert sorted(TG.nodes()) == [1, 2, 3, 4, 5, 7] + + cs = nxt.creation_sequence(dict(TG.degree()), with_labels=True) + assert nxt.find_creation_sequence(G) == cs + + def test_fast_versions_properties_threshold_graphs(self): + cs = "ddiiddid" + G = nxt.threshold_graph(cs) + assert nxt.density("ddiiddid") == nx.density(G) + assert sorted(nxt.degree_sequence(cs)) == sorted(d for n, d in G.degree()) + + ts = nxt.triangle_sequence(cs) + assert ts == list(nx.triangles(G).values()) + assert sum(ts) // 3 == nxt.triangles(cs) + + c1 = nxt.cluster_sequence(cs) + c2 = list(nx.clustering(G).values()) + assert sum(abs(c - d) for c, d in zip(c1, c2)) == pytest.approx(0, abs=1e-7) + + b1 = nx.betweenness_centrality(G).values() + b2 = nxt.betweenness_sequence(cs) + assert sum(abs(c - d) for c, d in zip(b1, b2)) < 1e-7 + + assert nxt.eigenvalues(cs) == [0, 1, 3, 3, 5, 7, 7, 8] + + # Degree Correlation + assert abs(nxt.degree_correlation(cs) + 0.593038821954) < 1e-12 + assert nxt.degree_correlation("diiiddi") == -0.8 + assert nxt.degree_correlation("did") == -1.0 + assert nxt.degree_correlation("ddd") == 1.0 + assert nxt.eigenvalues("dddiii") == [0, 0, 0, 0, 3, 3] + assert nxt.eigenvalues("dddiiid") == [0, 1, 1, 1, 4, 4, 7] + + def test_tg_creation_routines(self): + s = nxt.left_d_threshold_sequence(5, 7) + s = nxt.right_d_threshold_sequence(5, 7) + s1 = nxt.swap_d(s, 1.0, 1.0) + s1 = nxt.swap_d(s, 1.0, 1.0, seed=1) + + def test_eigenvectors(self): + np = pytest.importorskip("numpy") + eigenval = np.linalg.eigvals + pytest.importorskip("scipy") + + cs = "ddiiddid" + G = nxt.threshold_graph(cs) + (tgeval, tgevec) = nxt.eigenvectors(cs) + np.testing.assert_allclose([np.dot(lv, lv) for lv in tgevec], 1.0, rtol=1e-9) + lapl = nx.laplacian_matrix(G) + + def test_create_using(self): + cs = "ddiiddid" + G = nxt.threshold_graph(cs) + assert pytest.raises( + nx.exception.NetworkXError, + nxt.threshold_graph, + cs, + create_using=nx.DiGraph(), + ) + MG = nxt.threshold_graph(cs, create_using=nx.MultiGraph()) + assert sorted(MG.edges()) == sorted(G.edges()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_time_dependent.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_time_dependent.py new file mode 100644 index 0000000000000000000000000000000000000000..1e256f4bc69389464cfa164f209bc2db713b79ee --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_time_dependent.py @@ -0,0 +1,431 @@ +"""Unit testing for time dependent algorithms.""" + +from datetime import datetime, timedelta + +import pytest + +import networkx as nx + +_delta = timedelta(days=5 * 365) + + +class TestCdIndex: + """Unit testing for the cd index function.""" + + def test_common_graph(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 1) + G.add_edge(4, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 5: {"time": datetime(1997, 1, 1)}, + 6: {"time": datetime(1998, 1, 1)}, + 7: {"time": datetime(1999, 1, 1)}, + 8: {"time": datetime(1999, 1, 1)}, + 9: {"time": datetime(1998, 1, 1)}, + 10: {"time": datetime(1997, 4, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + + assert nx.cd_index(G, 4, time_delta=_delta) == 0.17 + + def test_common_graph_with_given_attributes(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 1) + G.add_edge(4, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"date": datetime(1992, 1, 1)}, + 1: {"date": datetime(1992, 1, 1)}, + 2: {"date": datetime(1993, 1, 1)}, + 3: {"date": datetime(1993, 1, 1)}, + 4: {"date": datetime(1995, 1, 1)}, + 5: {"date": datetime(1997, 1, 1)}, + 6: {"date": datetime(1998, 1, 1)}, + 7: {"date": datetime(1999, 1, 1)}, + 8: {"date": datetime(1999, 1, 1)}, + 9: {"date": datetime(1998, 1, 1)}, + 10: {"date": datetime(1997, 4, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + + assert nx.cd_index(G, 4, time_delta=_delta, time="date") == 0.17 + + def test_common_graph_with_int_attributes(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 1) + G.add_edge(4, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": 20}, + 1: {"time": 20}, + 2: {"time": 30}, + 3: {"time": 30}, + 4: {"time": 50}, + 5: {"time": 70}, + 6: {"time": 80}, + 7: {"time": 90}, + 8: {"time": 90}, + 9: {"time": 80}, + 10: {"time": 74}, + } + + nx.set_node_attributes(G, node_attrs) + + assert nx.cd_index(G, 4, time_delta=50) == 0.17 + + def test_common_graph_with_float_attributes(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 1) + G.add_edge(4, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": 20.2}, + 1: {"time": 20.2}, + 2: {"time": 30.7}, + 3: {"time": 30.7}, + 4: {"time": 50.9}, + 5: {"time": 70.1}, + 6: {"time": 80.6}, + 7: {"time": 90.7}, + 8: {"time": 90.7}, + 9: {"time": 80.6}, + 10: {"time": 74.2}, + } + + nx.set_node_attributes(G, node_attrs) + + assert nx.cd_index(G, 4, time_delta=50) == 0.17 + + def test_common_graph_with_weights(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 1) + G.add_edge(4, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 5: {"time": datetime(1997, 1, 1)}, + 6: {"time": datetime(1998, 1, 1), "weight": 5}, + 7: {"time": datetime(1999, 1, 1), "weight": 2}, + 8: {"time": datetime(1999, 1, 1), "weight": 6}, + 9: {"time": datetime(1998, 1, 1), "weight": 3}, + 10: {"time": datetime(1997, 4, 1), "weight": 10}, + } + + nx.set_node_attributes(G, node_attrs) + assert nx.cd_index(G, 4, time_delta=_delta, weight="weight") == 0.04 + + def test_node_with_no_predecessors(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 5: {"time": datetime(2005, 1, 1)}, + 6: {"time": datetime(2010, 1, 1)}, + 7: {"time": datetime(2001, 1, 1)}, + 8: {"time": datetime(2020, 1, 1)}, + 9: {"time": datetime(2017, 1, 1)}, + 10: {"time": datetime(2004, 4, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + assert nx.cd_index(G, 4, time_delta=_delta) == 0.0 + + def test_node_with_no_successors(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(8, 2) + G.add_edge(6, 0) + G.add_edge(6, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 5: {"time": datetime(1997, 1, 1)}, + 6: {"time": datetime(1998, 1, 1)}, + 7: {"time": datetime(1999, 1, 1)}, + 8: {"time": datetime(1999, 1, 1)}, + 9: {"time": datetime(1998, 1, 1)}, + 10: {"time": datetime(1997, 4, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + assert nx.cd_index(G, 4, time_delta=_delta) == 1.0 + + def test_n_equals_zero(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 3) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 5: {"time": datetime(2005, 1, 1)}, + 6: {"time": datetime(2010, 1, 1)}, + 7: {"time": datetime(2001, 1, 1)}, + 8: {"time": datetime(2020, 1, 1)}, + 9: {"time": datetime(2017, 1, 1)}, + 10: {"time": datetime(2004, 4, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + + with pytest.raises( + nx.NetworkXError, match="The cd index cannot be defined." + ) as ve: + nx.cd_index(G, 4, time_delta=_delta) + + def test_time_timedelta_compatibility(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(4, 2) + G.add_edge(4, 0) + G.add_edge(4, 3) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": 20.2}, + 1: {"time": 20.2}, + 2: {"time": 30.7}, + 3: {"time": 30.7}, + 4: {"time": 50.9}, + 5: {"time": 70.1}, + 6: {"time": 80.6}, + 7: {"time": 90.7}, + 8: {"time": 90.7}, + 9: {"time": 80.6}, + 10: {"time": 74.2}, + } + + nx.set_node_attributes(G, node_attrs) + + with pytest.raises( + nx.NetworkXError, + match="Addition and comparison are not supported between", + ) as ve: + nx.cd_index(G, 4, time_delta=_delta) + + def test_node_with_no_time(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) + G.add_edge(8, 2) + G.add_edge(6, 0) + G.add_edge(6, 3) + G.add_edge(5, 2) + G.add_edge(6, 2) + G.add_edge(6, 4) + G.add_edge(7, 4) + G.add_edge(8, 4) + G.add_edge(9, 4) + G.add_edge(9, 1) + G.add_edge(9, 3) + G.add_edge(10, 4) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 6: {"time": datetime(1998, 1, 1)}, + 7: {"time": datetime(1999, 1, 1)}, + 8: {"time": datetime(1999, 1, 1)}, + 9: {"time": datetime(1998, 1, 1)}, + 10: {"time": datetime(1997, 4, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + + with pytest.raises( + nx.NetworkXError, match="Not all nodes have a 'time' attribute." + ) as ve: + nx.cd_index(G, 4, time_delta=_delta) + + def test_maximally_consolidating(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]) + G.add_edge(5, 1) + G.add_edge(5, 2) + G.add_edge(5, 3) + G.add_edge(5, 4) + G.add_edge(6, 1) + G.add_edge(6, 5) + G.add_edge(7, 1) + G.add_edge(7, 5) + G.add_edge(8, 2) + G.add_edge(8, 5) + G.add_edge(9, 5) + G.add_edge(9, 3) + G.add_edge(10, 5) + G.add_edge(10, 3) + G.add_edge(10, 4) + G.add_edge(11, 5) + G.add_edge(11, 4) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 5: {"time": datetime(1997, 1, 1)}, + 6: {"time": datetime(1998, 1, 1)}, + 7: {"time": datetime(1999, 1, 1)}, + 8: {"time": datetime(1999, 1, 1)}, + 9: {"time": datetime(1998, 1, 1)}, + 10: {"time": datetime(1997, 4, 1)}, + 11: {"time": datetime(1998, 5, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + + assert nx.cd_index(G, 5, time_delta=_delta) == -1 + + def test_maximally_destabilizing(self): + G = nx.DiGraph() + G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]) + G.add_edge(5, 1) + G.add_edge(5, 2) + G.add_edge(5, 3) + G.add_edge(5, 4) + G.add_edge(6, 5) + G.add_edge(7, 5) + G.add_edge(8, 5) + G.add_edge(9, 5) + G.add_edge(10, 5) + G.add_edge(11, 5) + + node_attrs = { + 0: {"time": datetime(1992, 1, 1)}, + 1: {"time": datetime(1992, 1, 1)}, + 2: {"time": datetime(1993, 1, 1)}, + 3: {"time": datetime(1993, 1, 1)}, + 4: {"time": datetime(1995, 1, 1)}, + 5: {"time": datetime(1997, 1, 1)}, + 6: {"time": datetime(1998, 1, 1)}, + 7: {"time": datetime(1999, 1, 1)}, + 8: {"time": datetime(1999, 1, 1)}, + 9: {"time": datetime(1998, 1, 1)}, + 10: {"time": datetime(1997, 4, 1)}, + 11: {"time": datetime(1998, 5, 1)}, + } + + nx.set_node_attributes(G, node_attrs) + + assert nx.cd_index(G, 5, time_delta=_delta) == 1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_tournament.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_tournament.py new file mode 100644 index 0000000000000000000000000000000000000000..e75abf8fcc6f6af0bdf9186bf3bb6fec433d5500 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_tournament.py @@ -0,0 +1,163 @@ +"""Unit tests for the :mod:`networkx.algorithms.tournament` module.""" + +from itertools import combinations + +import pytest + +from networkx import DiGraph +from networkx.algorithms.tournament import ( + hamiltonian_path, + index_satisfying, + is_reachable, + is_strongly_connected, + is_tournament, + random_tournament, + score_sequence, + tournament_matrix, +) + + +def test_condition_not_satisfied(): + condition = lambda x: x > 0 + iter_in = [0] + assert index_satisfying(iter_in, condition) == 1 + + +def test_empty_iterable(): + condition = lambda x: x > 0 + with pytest.raises(ValueError): + index_satisfying([], condition) + + +def test_is_tournament(): + G = DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 0), (1, 3), (0, 2)]) + assert is_tournament(G) + + +def test_self_loops(): + """A tournament must have no self-loops.""" + G = DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 0), (1, 3), (0, 2)]) + G.add_edge(0, 0) + assert not is_tournament(G) + + +def test_missing_edges(): + """A tournament must not have any pair of nodes without at least + one edge joining the pair. + + """ + G = DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 0), (1, 3)]) + assert not is_tournament(G) + + +def test_bidirectional_edges(): + """A tournament must not have any pair of nodes with greater + than one edge joining the pair. + + """ + G = DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 0), (1, 3), (0, 2)]) + G.add_edge(1, 0) + assert not is_tournament(G) + + +def test_graph_is_tournament(): + for _ in range(10): + G = random_tournament(5) + assert is_tournament(G) + + +def test_graph_is_tournament_seed(): + for _ in range(10): + G = random_tournament(5, seed=1) + assert is_tournament(G) + + +def test_graph_is_tournament_one_node(): + G = random_tournament(1) + assert is_tournament(G) + + +def test_graph_is_tournament_zero_node(): + G = random_tournament(0) + assert is_tournament(G) + + +def test_hamiltonian_empty_graph(): + path = hamiltonian_path(DiGraph()) + assert len(path) == 0 + + +def test_path_is_hamiltonian(): + G = DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 0), (1, 3), (0, 2)]) + path = hamiltonian_path(G) + assert len(path) == 4 + assert all(v in G[u] for u, v in zip(path, path[1:])) + + +def test_hamiltonian_cycle(): + """Tests that :func:`networkx.tournament.hamiltonian_path` + returns a Hamiltonian cycle when provided a strongly connected + tournament. + + """ + G = DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 0), (1, 3), (0, 2)]) + path = hamiltonian_path(G) + assert len(path) == 4 + assert all(v in G[u] for u, v in zip(path, path[1:])) + assert path[0] in G[path[-1]] + + +def test_score_sequence_edge(): + G = DiGraph([(0, 1)]) + assert score_sequence(G) == [0, 1] + + +def test_score_sequence_triangle(): + G = DiGraph([(0, 1), (1, 2), (2, 0)]) + assert score_sequence(G) == [1, 1, 1] + + +def test_tournament_matrix(): + np = pytest.importorskip("numpy") + pytest.importorskip("scipy") + npt = np.testing + G = DiGraph([(0, 1)]) + m = tournament_matrix(G) + npt.assert_array_equal(m.todense(), np.array([[0, 1], [-1, 0]])) + + +def test_reachable_pair(): + """Tests for a reachable pair of nodes.""" + G = DiGraph([(0, 1), (1, 2), (2, 0)]) + assert is_reachable(G, 0, 2) + + +def test_same_node_is_reachable(): + """Tests that a node is always reachable from it.""" + # G is an arbitrary tournament on ten nodes. + G = DiGraph(sorted(p) for p in combinations(range(10), 2)) + assert all(is_reachable(G, v, v) for v in G) + + +def test_unreachable_pair(): + """Tests for an unreachable pair of nodes.""" + G = DiGraph([(0, 1), (0, 2), (1, 2)]) + assert not is_reachable(G, 1, 0) + + +def test_is_strongly_connected(): + """Tests for a strongly connected tournament.""" + G = DiGraph([(0, 1), (1, 2), (2, 0)]) + assert is_strongly_connected(G) + + +def test_not_strongly_connected(): + """Tests for a tournament that is not strongly connected.""" + G = DiGraph([(0, 1), (0, 2), (1, 2)]) + assert not is_strongly_connected(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_triads.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_triads.py new file mode 100644 index 0000000000000000000000000000000000000000..62670351e84dc05347e397987726e687cbedbae7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_triads.py @@ -0,0 +1,289 @@ +"""Tests for the :mod:`networkx.algorithms.triads` module.""" + +import itertools +from collections import defaultdict +from random import sample + +import pytest + +import networkx as nx + + +def test_all_triplets_deprecated(): + G = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + with pytest.deprecated_call(): + nx.all_triplets(G) + + +def test_random_triad_deprecated(): + G = nx.path_graph(3, create_using=nx.DiGraph) + with pytest.deprecated_call(): + nx.random_triad(G) + + +def test_triadic_census(): + """Tests the triadic_census function.""" + G = nx.DiGraph() + G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"]) + expected = { + "030T": 2, + "120C": 1, + "210": 0, + "120U": 0, + "012": 9, + "102": 3, + "021U": 0, + "111U": 0, + "003": 8, + "030C": 0, + "021D": 9, + "201": 0, + "111D": 1, + "300": 0, + "120D": 0, + "021C": 2, + } + actual = nx.triadic_census(G) + assert expected == actual + + +def test_is_triad(): + """Tests the is_triad function""" + G = nx.karate_club_graph() + G = G.to_directed() + for i in range(100): + nodes = sample(sorted(G.nodes()), 3) + G2 = G.subgraph(nodes) + assert nx.is_triad(G2) + + +def test_all_triplets(): + """Tests the all_triplets function.""" + G = nx.DiGraph() + G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"]) + expected = [ + f"{i},{j},{k}" + for i in range(7) + for j in range(i + 1, 7) + for k in range(j + 1, 7) + ] + expected = [set(x.split(",")) for x in expected] + actual = [set(x) for x in nx.all_triplets(G)] + assert all(any(s1 == s2 for s1 in expected) for s2 in actual) + + +def test_all_triads(): + """Tests the all_triplets function.""" + G = nx.DiGraph() + G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"]) + expected = [ + f"{i},{j},{k}" + for i in range(7) + for j in range(i + 1, 7) + for k in range(j + 1, 7) + ] + expected = [G.subgraph(x.split(",")) for x in expected] + actual = list(nx.all_triads(G)) + assert all(any(nx.is_isomorphic(G1, G2) for G1 in expected) for G2 in actual) + + +def test_triad_type(): + """Tests the triad_type function.""" + # 0 edges (1 type) + G = nx.DiGraph({0: [], 1: [], 2: []}) + assert nx.triad_type(G) == "003" + # 1 edge (1 type) + G = nx.DiGraph({0: [1], 1: [], 2: []}) + assert nx.triad_type(G) == "012" + # 2 edges (4 types) + G = nx.DiGraph([(0, 1), (0, 2)]) + assert nx.triad_type(G) == "021D" + G = nx.DiGraph({0: [1], 1: [0], 2: []}) + assert nx.triad_type(G) == "102" + G = nx.DiGraph([(0, 1), (2, 1)]) + assert nx.triad_type(G) == "021U" + G = nx.DiGraph([(0, 1), (1, 2)]) + assert nx.triad_type(G) == "021C" + # 3 edges (4 types) + G = nx.DiGraph([(0, 1), (1, 0), (2, 1)]) + assert nx.triad_type(G) == "111D" + G = nx.DiGraph([(0, 1), (1, 0), (1, 2)]) + assert nx.triad_type(G) == "111U" + G = nx.DiGraph([(0, 1), (1, 2), (0, 2)]) + assert nx.triad_type(G) == "030T" + G = nx.DiGraph([(0, 1), (1, 2), (2, 0)]) + assert nx.triad_type(G) == "030C" + # 4 edges (4 types) + G = nx.DiGraph([(0, 1), (1, 0), (2, 0), (0, 2)]) + assert nx.triad_type(G) == "201" + G = nx.DiGraph([(0, 1), (1, 0), (2, 0), (2, 1)]) + assert nx.triad_type(G) == "120D" + G = nx.DiGraph([(0, 1), (1, 0), (0, 2), (1, 2)]) + assert nx.triad_type(G) == "120U" + G = nx.DiGraph([(0, 1), (1, 0), (0, 2), (2, 1)]) + assert nx.triad_type(G) == "120C" + # 5 edges (1 type) + G = nx.DiGraph([(0, 1), (1, 0), (2, 1), (1, 2), (0, 2)]) + assert nx.triad_type(G) == "210" + # 6 edges (1 type) + G = nx.DiGraph([(0, 1), (1, 0), (1, 2), (2, 1), (0, 2), (2, 0)]) + assert nx.triad_type(G) == "300" + + +def test_triads_by_type(): + """Tests the all_triplets function.""" + G = nx.DiGraph() + G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"]) + all_triads = nx.all_triads(G) + expected = defaultdict(list) + for triad in all_triads: + name = nx.triad_type(triad) + expected[name].append(triad) + actual = nx.triads_by_type(G) + assert set(actual.keys()) == set(expected.keys()) + for tri_type, actual_Gs in actual.items(): + expected_Gs = expected[tri_type] + for a in actual_Gs: + assert any(nx.is_isomorphic(a, e) for e in expected_Gs) + + +def test_random_triad(): + """Tests the random_triad function""" + G = nx.karate_club_graph() + G = G.to_directed() + for i in range(100): + assert nx.is_triad(nx.random_triad(G)) + + G = nx.DiGraph() + msg = "at least 3 nodes to form a triad" + with pytest.raises(nx.NetworkXError, match=msg): + nx.random_triad(G) + + +def test_triadic_census_short_path_nodelist(): + G = nx.path_graph("abc", create_using=nx.DiGraph) + expected = {"021C": 1} + for nl in ["a", "b", "c", "ab", "ac", "bc", "abc"]: + triad_census = nx.triadic_census(G, nodelist=nl) + assert expected == {typ: cnt for typ, cnt in triad_census.items() if cnt > 0} + + +def test_triadic_census_correct_nodelist_values(): + G = nx.path_graph(5, create_using=nx.DiGraph) + msg = r"nodelist includes duplicate nodes or nodes not in G" + with pytest.raises(ValueError, match=msg): + nx.triadic_census(G, [1, 2, 2, 3]) + with pytest.raises(ValueError, match=msg): + nx.triadic_census(G, [1, 2, "a", 3]) + + +def test_triadic_census_tiny_graphs(): + tc = nx.triadic_census(nx.empty_graph(0, create_using=nx.DiGraph)) + assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0} + tc = nx.triadic_census(nx.empty_graph(1, create_using=nx.DiGraph)) + assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0} + tc = nx.triadic_census(nx.empty_graph(2, create_using=nx.DiGraph)) + assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0} + tc = nx.triadic_census(nx.DiGraph([(1, 2)])) + assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0} + + +def test_triadic_census_selfloops(): + GG = nx.path_graph("abc", create_using=nx.DiGraph) + expected = {"021C": 1} + for n in GG: + G = GG.copy() + G.add_edge(n, n) + tc = nx.triadic_census(G) + assert expected == {typ: cnt for typ, cnt in tc.items() if cnt > 0} + + GG = nx.path_graph("abcde", create_using=nx.DiGraph) + tbt = nx.triads_by_type(GG) + for n in GG: + GG.add_edge(n, n) + tc = nx.triadic_census(GG) + assert tc == {tt: len(tbt[tt]) for tt in tc} + + +def test_triadic_census_four_path(): + G = nx.path_graph("abcd", create_using=nx.DiGraph) + expected = {"012": 2, "021C": 2} + triad_census = nx.triadic_census(G) + assert expected == {typ: cnt for typ, cnt in triad_census.items() if cnt > 0} + + +def test_triadic_census_four_path_nodelist(): + G = nx.path_graph("abcd", create_using=nx.DiGraph) + expected_end = {"012": 2, "021C": 1} + expected_mid = {"012": 1, "021C": 2} + a_triad_census = nx.triadic_census(G, nodelist=["a"]) + assert expected_end == {typ: cnt for typ, cnt in a_triad_census.items() if cnt > 0} + b_triad_census = nx.triadic_census(G, nodelist=["b"]) + assert expected_mid == {typ: cnt for typ, cnt in b_triad_census.items() if cnt > 0} + c_triad_census = nx.triadic_census(G, nodelist=["c"]) + assert expected_mid == {typ: cnt for typ, cnt in c_triad_census.items() if cnt > 0} + d_triad_census = nx.triadic_census(G, nodelist=["d"]) + assert expected_end == {typ: cnt for typ, cnt in d_triad_census.items() if cnt > 0} + + +def test_triadic_census_nodelist(): + """Tests the triadic_census function.""" + G = nx.DiGraph() + G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"]) + expected = { + "030T": 2, + "120C": 1, + "210": 0, + "120U": 0, + "012": 9, + "102": 3, + "021U": 0, + "111U": 0, + "003": 8, + "030C": 0, + "021D": 9, + "201": 0, + "111D": 1, + "300": 0, + "120D": 0, + "021C": 2, + } + actual = {k: 0 for k in expected} + for node in G.nodes(): + node_triad_census = nx.triadic_census(G, nodelist=[node]) + for triad_key in expected: + actual[triad_key] += node_triad_census[triad_key] + # Divide all counts by 3 + for k, v in actual.items(): + actual[k] //= 3 + assert expected == actual + + +@pytest.mark.parametrize("N", [5, 10]) +def test_triadic_census_on_random_graph(N): + G = nx.binomial_graph(N, 0.3, directed=True, seed=42) + tc1 = nx.triadic_census(G) + tbt = nx.triads_by_type(G) + tc2 = {tt: len(tbt[tt]) for tt in tc1} + assert tc1 == tc2 + + for n in G: + tc1 = nx.triadic_census(G, nodelist={n}) + tc2 = {tt: sum(1 for t in tbt.get(tt, []) if n in t) for tt in tc1} + assert tc1 == tc2 + + for ns in itertools.combinations(G, 2): + ns = set(ns) + tc1 = nx.triadic_census(G, nodelist=ns) + tc2 = { + tt: sum(1 for t in tbt.get(tt, []) if any(n in ns for n in t)) for tt in tc1 + } + assert tc1 == tc2 + + for ns in itertools.combinations(G, 3): + ns = set(ns) + tc1 = nx.triadic_census(G, nodelist=ns) + tc2 = { + tt: sum(1 for t in tbt.get(tt, []) if any(n in ns for n in t)) for tt in tc1 + } + assert tc1 == tc2 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_vitality.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_vitality.py new file mode 100644 index 0000000000000000000000000000000000000000..248206e670fa911f62177bb6727d6a7a6df1e6b9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_vitality.py @@ -0,0 +1,41 @@ +import networkx as nx + + +class TestClosenessVitality: + def test_unweighted(self): + G = nx.cycle_graph(3) + vitality = nx.closeness_vitality(G) + assert vitality == {0: 2, 1: 2, 2: 2} + + def test_weighted(self): + G = nx.Graph() + nx.add_cycle(G, [0, 1, 2], weight=2) + vitality = nx.closeness_vitality(G, weight="weight") + assert vitality == {0: 4, 1: 4, 2: 4} + + def test_unweighted_digraph(self): + G = nx.DiGraph(nx.cycle_graph(3)) + vitality = nx.closeness_vitality(G) + assert vitality == {0: 4, 1: 4, 2: 4} + + def test_weighted_digraph(self): + G = nx.DiGraph() + nx.add_cycle(G, [0, 1, 2], weight=2) + nx.add_cycle(G, [2, 1, 0], weight=2) + vitality = nx.closeness_vitality(G, weight="weight") + assert vitality == {0: 8, 1: 8, 2: 8} + + def test_weighted_multidigraph(self): + G = nx.MultiDiGraph() + nx.add_cycle(G, [0, 1, 2], weight=2) + nx.add_cycle(G, [2, 1, 0], weight=2) + vitality = nx.closeness_vitality(G, weight="weight") + assert vitality == {0: 8, 1: 8, 2: 8} + + def test_disconnecting_graph(self): + """Tests that the closeness vitality of a node whose removal + disconnects the graph is negative infinity. + + """ + G = nx.path_graph(3) + assert nx.closeness_vitality(G, node=1) == -float("inf") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_voronoi.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_voronoi.py new file mode 100644 index 0000000000000000000000000000000000000000..3269ae62a023ff0cf9fdc55122cb6e7c8d2ba319 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_voronoi.py @@ -0,0 +1,103 @@ +import networkx as nx +from networkx.utils import pairwise + + +class TestVoronoiCells: + """Unit tests for the Voronoi cells function.""" + + def test_isolates(self): + """Tests that a graph with isolated nodes has all isolates in + one block of the partition. + + """ + G = nx.empty_graph(5) + cells = nx.voronoi_cells(G, {0, 2, 4}) + expected = {0: {0}, 2: {2}, 4: {4}, "unreachable": {1, 3}} + assert expected == cells + + def test_undirected_unweighted(self): + G = nx.cycle_graph(6) + cells = nx.voronoi_cells(G, {0, 3}) + expected = {0: {0, 1, 5}, 3: {2, 3, 4}} + assert expected == cells + + def test_directed_unweighted(self): + # This is the singly-linked directed cycle graph on six nodes. + G = nx.DiGraph(pairwise(range(6), cyclic=True)) + cells = nx.voronoi_cells(G, {0, 3}) + expected = {0: {0, 1, 2}, 3: {3, 4, 5}} + assert expected == cells + + def test_directed_inward(self): + """Tests that reversing the graph gives the "inward" Voronoi + partition. + + """ + # This is the singly-linked reverse directed cycle graph on six nodes. + G = nx.DiGraph(pairwise(range(6), cyclic=True)) + G = G.reverse(copy=False) + cells = nx.voronoi_cells(G, {0, 3}) + expected = {0: {0, 4, 5}, 3: {1, 2, 3}} + assert expected == cells + + def test_undirected_weighted(self): + edges = [(0, 1, 10), (1, 2, 1), (2, 3, 1)] + G = nx.Graph() + G.add_weighted_edges_from(edges) + cells = nx.voronoi_cells(G, {0, 3}) + expected = {0: {0}, 3: {1, 2, 3}} + assert expected == cells + + def test_directed_weighted(self): + edges = [(0, 1, 10), (1, 2, 1), (2, 3, 1), (3, 2, 1), (2, 1, 1)] + G = nx.DiGraph() + G.add_weighted_edges_from(edges) + cells = nx.voronoi_cells(G, {0, 3}) + expected = {0: {0}, 3: {1, 2, 3}} + assert expected == cells + + def test_multigraph_unweighted(self): + """Tests that the Voronoi cells for a multigraph are the same as + for a simple graph. + + """ + edges = [(0, 1), (1, 2), (2, 3)] + G = nx.MultiGraph(2 * edges) + H = nx.Graph(G) + G_cells = nx.voronoi_cells(G, {0, 3}) + H_cells = nx.voronoi_cells(H, {0, 3}) + assert G_cells == H_cells + + def test_multidigraph_unweighted(self): + # This is the twice-singly-linked directed cycle graph on six nodes. + edges = list(pairwise(range(6), cyclic=True)) + G = nx.MultiDiGraph(2 * edges) + H = nx.DiGraph(G) + G_cells = nx.voronoi_cells(G, {0, 3}) + H_cells = nx.voronoi_cells(H, {0, 3}) + assert G_cells == H_cells + + def test_multigraph_weighted(self): + edges = [(0, 1, 10), (0, 1, 10), (1, 2, 1), (1, 2, 100), (2, 3, 1), (2, 3, 100)] + G = nx.MultiGraph() + G.add_weighted_edges_from(edges) + cells = nx.voronoi_cells(G, {0, 3}) + expected = {0: {0}, 3: {1, 2, 3}} + assert expected == cells + + def test_multidigraph_weighted(self): + edges = [ + (0, 1, 10), + (0, 1, 10), + (1, 2, 1), + (2, 3, 1), + (3, 2, 10), + (3, 2, 1), + (2, 1, 10), + (2, 1, 1), + ] + G = nx.MultiDiGraph() + G.add_weighted_edges_from(edges) + cells = nx.voronoi_cells(G, {0, 3}) + expected = {0: {0}, 3: {1, 2, 3}} + assert expected == cells diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_walks.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_walks.py new file mode 100644 index 0000000000000000000000000000000000000000..7a6b323932988e1b9513118162df62e9613ee65b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_walks.py @@ -0,0 +1,54 @@ +"""Unit tests for the :mod:`networkx.algorithms.walks` module.""" + +import pytest + +import networkx as nx + +pytest.importorskip("numpy") +pytest.importorskip("scipy") + + +def test_directed(): + G = nx.DiGraph([(0, 1), (1, 2), (2, 0)]) + num_walks = nx.number_of_walks(G, 3) + expected = {0: {0: 1, 1: 0, 2: 0}, 1: {0: 0, 1: 1, 2: 0}, 2: {0: 0, 1: 0, 2: 1}} + assert num_walks == expected + + +def test_undirected(): + G = nx.cycle_graph(3) + num_walks = nx.number_of_walks(G, 3) + expected = {0: {0: 2, 1: 3, 2: 3}, 1: {0: 3, 1: 2, 2: 3}, 2: {0: 3, 1: 3, 2: 2}} + assert num_walks == expected + + +def test_non_integer_nodes(): + G = nx.DiGraph([("A", "B"), ("B", "C"), ("C", "A")]) + num_walks = nx.number_of_walks(G, 2) + expected = { + "A": {"A": 0, "B": 0, "C": 1}, + "B": {"A": 1, "B": 0, "C": 0}, + "C": {"A": 0, "B": 1, "C": 0}, + } + assert num_walks == expected + + +def test_zero_length(): + G = nx.cycle_graph(3) + num_walks = nx.number_of_walks(G, 0) + expected = {0: {0: 1, 1: 0, 2: 0}, 1: {0: 0, 1: 1, 2: 0}, 2: {0: 0, 1: 0, 2: 1}} + assert num_walks == expected + + +def test_negative_length_exception(): + G = nx.cycle_graph(3) + with pytest.raises(ValueError): + nx.number_of_walks(G, -1) + + +def test_hidden_weight_attr(): + G = nx.cycle_graph(3) + G.add_edge(1, 2, weight=5) + num_walks = nx.number_of_walks(G, 3) + expected = {0: {0: 2, 1: 3, 2: 3}, 1: {0: 3, 1: 2, 2: 3}, 2: {0: 3, 1: 3, 2: 2}} + assert num_walks == expected diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_wiener.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_wiener.py new file mode 100644 index 0000000000000000000000000000000000000000..aded95143ca53e0031189dfabeacf5df0f887120 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tests/test_wiener.py @@ -0,0 +1,123 @@ +import networkx as nx + + +def test_wiener_index_of_disconnected_graph(): + assert nx.wiener_index(nx.empty_graph(2)) == float("inf") + + +def test_wiener_index_of_directed_graph(): + G = nx.complete_graph(3) + H = nx.DiGraph(G) + assert (2 * nx.wiener_index(G)) == nx.wiener_index(H) + + +def test_wiener_index_of_complete_graph(): + n = 10 + G = nx.complete_graph(n) + assert nx.wiener_index(G) == (n * (n - 1) / 2) + + +def test_wiener_index_of_path_graph(): + # In P_n, there are n - 1 pairs of vertices at distance one, n - + # 2 pairs at distance two, n - 3 at distance three, ..., 1 at + # distance n - 1, so the Wiener index should be + # + # 1 * (n - 1) + 2 * (n - 2) + ... + (n - 2) * 2 + (n - 1) * 1 + # + # For example, in P_5, + # + # 1 * 4 + 2 * 3 + 3 * 2 + 4 * 1 = 2 (1 * 4 + 2 * 3) + # + # and in P_6, + # + # 1 * 5 + 2 * 4 + 3 * 3 + 4 * 2 + 5 * 1 = 2 (1 * 5 + 2 * 4) + 3 * 3 + # + # assuming n is *odd*, this gives the formula + # + # 2 \sum_{i = 1}^{(n - 1) / 2} [i * (n - i)] + # + # assuming n is *even*, this gives the formula + # + # 2 \sum_{i = 1}^{n / 2} [i * (n - i)] - (n / 2) ** 2 + # + n = 9 + G = nx.path_graph(n) + expected = 2 * sum(i * (n - i) for i in range(1, (n // 2) + 1)) + actual = nx.wiener_index(G) + assert expected == actual + + +def test_schultz_and_gutman_index_of_disconnected_graph(): + n = 4 + G = nx.Graph() + G.add_nodes_from(list(range(1, n + 1))) + expected = float("inf") + + G.add_edge(1, 2) + G.add_edge(3, 4) + + actual_1 = nx.schultz_index(G) + actual_2 = nx.gutman_index(G) + + assert expected == actual_1 + assert expected == actual_2 + + +def test_schultz_and_gutman_index_of_complete_bipartite_graph_1(): + n = 3 + m = 3 + cbg = nx.complete_bipartite_graph(n, m) + + expected_1 = n * m * (n + m) + 2 * n * (n - 1) * m + 2 * m * (m - 1) * n + actual_1 = nx.schultz_index(cbg) + + expected_2 = n * m * (n * m) + n * (n - 1) * m * m + m * (m - 1) * n * n + actual_2 = nx.gutman_index(cbg) + + assert expected_1 == actual_1 + assert expected_2 == actual_2 + + +def test_schultz_and_gutman_index_of_complete_bipartite_graph_2(): + n = 2 + m = 5 + cbg = nx.complete_bipartite_graph(n, m) + + expected_1 = n * m * (n + m) + 2 * n * (n - 1) * m + 2 * m * (m - 1) * n + actual_1 = nx.schultz_index(cbg) + + expected_2 = n * m * (n * m) + n * (n - 1) * m * m + m * (m - 1) * n * n + actual_2 = nx.gutman_index(cbg) + + assert expected_1 == actual_1 + assert expected_2 == actual_2 + + +def test_schultz_and_gutman_index_of_complete_graph(): + n = 5 + cg = nx.complete_graph(n) + + expected_1 = n * (n - 1) * (n - 1) + actual_1 = nx.schultz_index(cg) + + assert expected_1 == actual_1 + + expected_2 = n * (n - 1) * (n - 1) * (n - 1) / 2 + actual_2 = nx.gutman_index(cg) + + assert expected_2 == actual_2 + + +def test_schultz_and_gutman_index_of_odd_cycle_graph(): + k = 5 + n = 2 * k + 1 + ocg = nx.cycle_graph(n) + + expected_1 = 2 * n * k * (k + 1) + actual_1 = nx.schultz_index(ocg) + + expected_2 = 2 * n * k * (k + 1) + actual_2 = nx.gutman_index(ocg) + + assert expected_1 == actual_1 + assert expected_2 == actual_2 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..93e6cdd08ca959835cc5c5f9a3e6dc353f4b217d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/__init__.py @@ -0,0 +1,5 @@ +from .beamsearch import * +from .breadth_first_search import * +from .depth_first_search import * +from .edgedfs import * +from .edgebfs import * diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/beamsearch.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/beamsearch.py new file mode 100644 index 0000000000000000000000000000000000000000..23fbe7bbb3f037eca4f7ede25b7edf6305356587 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/beamsearch.py @@ -0,0 +1,90 @@ +"""Basic algorithms for breadth-first searching the nodes of a graph.""" + +import networkx as nx + +__all__ = ["bfs_beam_edges"] + + +@nx._dispatchable +def bfs_beam_edges(G, source, value, width=None): + """Iterates over edges in a beam search. + + The beam search is a generalized breadth-first search in which only + the "best" *w* neighbors of the current node are enqueued, where *w* + is the beam width and "best" is an application-specific + heuristic. In general, a beam search with a small beam width might + not visit each node in the graph. + + .. note:: + + With the default value of ``width=None`` or `width` greater than the + maximum degree of the graph, this function equates to a slower + version of `~networkx.algorithms.traversal.breadth_first_search.bfs_edges`. + All nodes will be visited, though the order of the reported edges may + vary. In such cases, `value` has no effect - consider using `bfs_edges` + directly instead. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for the breadth-first search; this function + iterates over only those edges in the component reachable from + this node. + + value : function + A function that takes a node of the graph as input and returns a + real number indicating how "good" it is. A higher value means it + is more likely to be visited sooner during the search. When + visiting a new node, only the `width` neighbors with the highest + `value` are enqueued (in decreasing order of `value`). + + width : int (default = None) + The beam width for the search. This is the number of neighbors + (ordered by `value`) to enqueue when visiting each new node. + + Yields + ------ + edge + Edges in the beam search starting from `source`, given as a pair + of nodes. + + Examples + -------- + To give nodes with, for example, a higher centrality precedence + during the search, set the `value` function to return the centrality + value of the node: + + >>> G = nx.karate_club_graph() + >>> centrality = nx.eigenvector_centrality(G) + >>> list(nx.bfs_beam_edges(G, source=0, value=centrality.get, width=3)) + [(0, 2), (0, 1), (0, 8), (2, 32), (1, 13), (8, 33)] + """ + + if width is None: + width = len(G) + + def successors(v): + """Returns a list of the best neighbors of a node. + + `v` is a node in the graph `G`. + + The "best" neighbors are chosen according to the `value` + function (higher is better). Only the `width` best neighbors of + `v` are returned. + """ + # TODO The Python documentation states that for small values, it + # is better to use `heapq.nlargest`. We should determine the + # threshold at which its better to use `heapq.nlargest()` + # instead of `sorted()[:]` and apply that optimization here. + # + # If `width` is greater than the number of neighbors of `v`, all + # neighbors are returned by the semantics of slicing in + # Python. This occurs in the special case that the user did not + # specify a `width`: in this case all neighbors are always + # returned, so this is just a (slower) implementation of + # `bfs_edges(G, source)` but with a sorted enqueue step. + return iter(sorted(G.neighbors(v), key=value, reverse=True)[:width]) + + yield from nx.generic_bfs_edges(G, source, successors) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/breadth_first_search.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/breadth_first_search.py new file mode 100644 index 0000000000000000000000000000000000000000..899dc92b723665f88eb76dc90a0c1aee87dde1f4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/breadth_first_search.py @@ -0,0 +1,575 @@ +"""Basic algorithms for breadth-first searching the nodes of a graph.""" + +from collections import deque + +import networkx as nx + +__all__ = [ + "bfs_edges", + "bfs_tree", + "bfs_predecessors", + "bfs_successors", + "descendants_at_distance", + "bfs_layers", + "bfs_labeled_edges", + "generic_bfs_edges", +] + + +@nx._dispatchable +def generic_bfs_edges(G, source, neighbors=None, depth_limit=None): + """Iterate over edges in a breadth-first search. + + The breadth-first search begins at `source` and enqueues the + neighbors of newly visited nodes specified by the `neighbors` + function. + + Parameters + ---------- + G : NetworkX graph + + source : node + Starting node for the breadth-first search; this function + iterates over only those edges in the component reachable from + this node. + + neighbors : function + A function that takes a newly visited node of the graph as input + and returns an *iterator* (not just a list) of nodes that are + neighbors of that node with custom ordering. If not specified, this is + just the ``G.neighbors`` method, but in general it can be any function + that returns an iterator over some or all of the neighbors of a + given node, in any order. + + depth_limit : int, optional(default=len(G)) + Specify the maximum search depth. + + Yields + ------ + edge + Edges in the breadth-first search starting from `source`. + + Examples + -------- + >>> G = nx.path_graph(7) + >>> list(nx.generic_bfs_edges(G, source=0)) + [(0, 1), (1, 2), (2, 3), (3, 4), (4, 5), (5, 6)] + >>> list(nx.generic_bfs_edges(G, source=2)) + [(2, 1), (2, 3), (1, 0), (3, 4), (4, 5), (5, 6)] + >>> list(nx.generic_bfs_edges(G, source=2, depth_limit=2)) + [(2, 1), (2, 3), (1, 0), (3, 4)] + + The `neighbors` param can be used to specify the visitation order of each + node's neighbors generically. In the following example, we modify the default + neighbor to return *odd* nodes first: + + >>> def odd_first(n): + ... return sorted(G.neighbors(n), key=lambda x: x % 2, reverse=True) + + >>> G = nx.star_graph(5) + >>> list(nx.generic_bfs_edges(G, source=0)) # Default neighbor ordering + [(0, 1), (0, 2), (0, 3), (0, 4), (0, 5)] + >>> list(nx.generic_bfs_edges(G, source=0, neighbors=odd_first)) + [(0, 1), (0, 3), (0, 5), (0, 2), (0, 4)] + + Notes + ----- + This implementation is from `PADS`_, which was in the public domain + when it was first accessed in July, 2004. The modifications + to allow depth limits are based on the Wikipedia article + "`Depth-limited-search`_". + + .. _PADS: http://www.ics.uci.edu/~eppstein/PADS/BFS.py + .. _Depth-limited-search: https://en.wikipedia.org/wiki/Depth-limited_search + """ + if neighbors is None: + neighbors = G.neighbors + if depth_limit is None: + depth_limit = len(G) + + seen = {source} + n = len(G) + depth = 0 + next_parents_children = [(source, neighbors(source))] + while next_parents_children and depth < depth_limit: + this_parents_children = next_parents_children + next_parents_children = [] + for parent, children in this_parents_children: + for child in children: + if child not in seen: + seen.add(child) + next_parents_children.append((child, neighbors(child))) + yield parent, child + if len(seen) == n: + return + depth += 1 + + +@nx._dispatchable +def bfs_edges(G, source, reverse=False, depth_limit=None, sort_neighbors=None): + """Iterate over edges in a breadth-first-search starting at source. + + Parameters + ---------- + G : NetworkX graph + + source : node + Specify starting node for breadth-first search; this function + iterates over only those edges in the component reachable from + this node. + + reverse : bool, optional + If True traverse a directed graph in the reverse direction + + depth_limit : int, optional(default=len(G)) + Specify the maximum search depth + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Yields + ------ + edge: 2-tuple of nodes + Yields edges resulting from the breadth-first search. + + Examples + -------- + To get the edges in a breadth-first search:: + + >>> G = nx.path_graph(3) + >>> list(nx.bfs_edges(G, 0)) + [(0, 1), (1, 2)] + >>> list(nx.bfs_edges(G, source=0, depth_limit=1)) + [(0, 1)] + + To get the nodes in a breadth-first search order:: + + >>> G = nx.path_graph(3) + >>> root = 2 + >>> edges = nx.bfs_edges(G, root) + >>> nodes = [root] + [v for u, v in edges] + >>> nodes + [2, 1, 0] + + Notes + ----- + The naming of this function is very similar to + :func:`~networkx.algorithms.traversal.edgebfs.edge_bfs`. The difference + is that ``edge_bfs`` yields edges even if they extend back to an already + explored node while this generator yields the edges of the tree that results + from a breadth-first-search (BFS) so no edges are reported if they extend + to already explored nodes. That means ``edge_bfs`` reports all edges while + ``bfs_edges`` only reports those traversed by a node-based BFS. Yet another + description is that ``bfs_edges`` reports the edges traversed during BFS + while ``edge_bfs`` reports all edges in the order they are explored. + + Based on the breadth-first search implementation in PADS [1]_ + by D. Eppstein, July 2004; with modifications to allow depth limits + as described in [2]_. + + References + ---------- + .. [1] http://www.ics.uci.edu/~eppstein/PADS/BFS.py. + .. [2] https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + bfs_tree + :func:`~networkx.algorithms.traversal.depth_first_search.dfs_edges` + :func:`~networkx.algorithms.traversal.edgebfs.edge_bfs` + + """ + if reverse and G.is_directed(): + successors = G.predecessors + else: + successors = G.neighbors + + if sort_neighbors is not None: + yield from generic_bfs_edges( + G, source, lambda node: iter(sort_neighbors(successors(node))), depth_limit + ) + else: + yield from generic_bfs_edges(G, source, successors, depth_limit) + + +@nx._dispatchable(returns_graph=True) +def bfs_tree(G, source, reverse=False, depth_limit=None, sort_neighbors=None): + """Returns an oriented tree constructed from of a breadth-first-search + starting at source. + + Parameters + ---------- + G : NetworkX graph + + source : node + Specify starting node for breadth-first search + + reverse : bool, optional + If True traverse a directed graph in the reverse direction + + depth_limit : int, optional(default=len(G)) + Specify the maximum search depth + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + T: NetworkX DiGraph + An oriented tree + + Examples + -------- + >>> G = nx.path_graph(3) + >>> list(nx.bfs_tree(G, 1).edges()) + [(1, 0), (1, 2)] + >>> H = nx.Graph() + >>> nx.add_path(H, [0, 1, 2, 3, 4, 5, 6]) + >>> nx.add_path(H, [2, 7, 8, 9, 10]) + >>> sorted(list(nx.bfs_tree(H, source=3, depth_limit=3).edges())) + [(1, 0), (2, 1), (2, 7), (3, 2), (3, 4), (4, 5), (5, 6), (7, 8)] + + + Notes + ----- + Based on http://www.ics.uci.edu/~eppstein/PADS/BFS.py + by D. Eppstein, July 2004. The modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited-search`_". + + .. _Depth-limited-search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + dfs_tree + bfs_edges + edge_bfs + """ + T = nx.DiGraph() + T.add_node(source) + edges_gen = bfs_edges( + G, + source, + reverse=reverse, + depth_limit=depth_limit, + sort_neighbors=sort_neighbors, + ) + T.add_edges_from(edges_gen) + return T + + +@nx._dispatchable +def bfs_predecessors(G, source, depth_limit=None, sort_neighbors=None): + """Returns an iterator of predecessors in breadth-first-search from source. + + Parameters + ---------- + G : NetworkX graph + + source : node + Specify starting node for breadth-first search + + depth_limit : int, optional(default=len(G)) + Specify the maximum search depth + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + pred: iterator + (node, predecessor) iterator where `predecessor` is the predecessor of + `node` in a breadth first search starting from `source`. + + Examples + -------- + >>> G = nx.path_graph(3) + >>> dict(nx.bfs_predecessors(G, 0)) + {1: 0, 2: 1} + >>> H = nx.Graph() + >>> H.add_edges_from([(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)]) + >>> dict(nx.bfs_predecessors(H, 0)) + {1: 0, 2: 0, 3: 1, 4: 1, 5: 2, 6: 2} + >>> M = nx.Graph() + >>> nx.add_path(M, [0, 1, 2, 3, 4, 5, 6]) + >>> nx.add_path(M, [2, 7, 8, 9, 10]) + >>> sorted(nx.bfs_predecessors(M, source=1, depth_limit=3)) + [(0, 1), (2, 1), (3, 2), (4, 3), (7, 2), (8, 7)] + >>> N = nx.DiGraph() + >>> nx.add_path(N, [0, 1, 2, 3, 4, 7]) + >>> nx.add_path(N, [3, 5, 6, 7]) + >>> sorted(nx.bfs_predecessors(N, source=2)) + [(3, 2), (4, 3), (5, 3), (6, 5), (7, 4)] + + Notes + ----- + Based on http://www.ics.uci.edu/~eppstein/PADS/BFS.py + by D. Eppstein, July 2004. The modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited-search`_". + + .. _Depth-limited-search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + bfs_tree + bfs_edges + edge_bfs + """ + for s, t in bfs_edges( + G, source, depth_limit=depth_limit, sort_neighbors=sort_neighbors + ): + yield (t, s) + + +@nx._dispatchable +def bfs_successors(G, source, depth_limit=None, sort_neighbors=None): + """Returns an iterator of successors in breadth-first-search from source. + + Parameters + ---------- + G : NetworkX graph + + source : node + Specify starting node for breadth-first search + + depth_limit : int, optional(default=len(G)) + Specify the maximum search depth + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + succ: iterator + (node, successors) iterator where `successors` is the non-empty list of + successors of `node` in a breadth first search from `source`. + To appear in the iterator, `node` must have successors. + + Examples + -------- + >>> G = nx.path_graph(3) + >>> dict(nx.bfs_successors(G, 0)) + {0: [1], 1: [2]} + >>> H = nx.Graph() + >>> H.add_edges_from([(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)]) + >>> dict(nx.bfs_successors(H, 0)) + {0: [1, 2], 1: [3, 4], 2: [5, 6]} + >>> G = nx.Graph() + >>> nx.add_path(G, [0, 1, 2, 3, 4, 5, 6]) + >>> nx.add_path(G, [2, 7, 8, 9, 10]) + >>> dict(nx.bfs_successors(G, source=1, depth_limit=3)) + {1: [0, 2], 2: [3, 7], 3: [4], 7: [8]} + >>> G = nx.DiGraph() + >>> nx.add_path(G, [0, 1, 2, 3, 4, 5]) + >>> dict(nx.bfs_successors(G, source=3)) + {3: [4], 4: [5]} + + Notes + ----- + Based on http://www.ics.uci.edu/~eppstein/PADS/BFS.py + by D. Eppstein, July 2004.The modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited-search`_". + + .. _Depth-limited-search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + bfs_tree + bfs_edges + edge_bfs + """ + parent = source + children = [] + for p, c in bfs_edges( + G, source, depth_limit=depth_limit, sort_neighbors=sort_neighbors + ): + if p == parent: + children.append(c) + continue + yield (parent, children) + children = [c] + parent = p + yield (parent, children) + + +@nx._dispatchable +def bfs_layers(G, sources): + """Returns an iterator of all the layers in breadth-first search traversal. + + Parameters + ---------- + G : NetworkX graph + A graph over which to find the layers using breadth-first search. + + sources : node in `G` or list of nodes in `G` + Specify starting nodes for single source or multiple sources breadth-first search + + Yields + ------ + layer: list of nodes + Yields list of nodes at the same distance from sources + + Examples + -------- + >>> G = nx.path_graph(5) + >>> dict(enumerate(nx.bfs_layers(G, [0, 4]))) + {0: [0, 4], 1: [1, 3], 2: [2]} + >>> H = nx.Graph() + >>> H.add_edges_from([(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)]) + >>> dict(enumerate(nx.bfs_layers(H, [1]))) + {0: [1], 1: [0, 3, 4], 2: [2], 3: [5, 6]} + >>> dict(enumerate(nx.bfs_layers(H, [1, 6]))) + {0: [1, 6], 1: [0, 3, 4, 2], 2: [5]} + """ + if sources in G: + sources = [sources] + + current_layer = list(sources) + visited = set(sources) + + for source in current_layer: + if source not in G: + raise nx.NetworkXError(f"The node {source} is not in the graph.") + + # this is basically BFS, except that the current layer only stores the nodes at + # same distance from sources at each iteration + while current_layer: + yield current_layer + next_layer = [] + for node in current_layer: + for child in G[node]: + if child not in visited: + visited.add(child) + next_layer.append(child) + current_layer = next_layer + + +REVERSE_EDGE = "reverse" +TREE_EDGE = "tree" +FORWARD_EDGE = "forward" +LEVEL_EDGE = "level" + + +@nx._dispatchable +def bfs_labeled_edges(G, sources): + """Iterate over edges in a breadth-first search (BFS) labeled by type. + + We generate triple of the form (*u*, *v*, *d*), where (*u*, *v*) is the + edge being explored in the breadth-first search and *d* is one of the + strings 'tree', 'forward', 'level', or 'reverse'. A 'tree' edge is one in + which *v* is first discovered and placed into the layer below *u*. A + 'forward' edge is one in which *u* is on the layer above *v* and *v* has + already been discovered. A 'level' edge is one in which both *u* and *v* + occur on the same layer. A 'reverse' edge is one in which *u* is on a layer + below *v*. + + We emit each edge exactly once. In an undirected graph, 'reverse' edges do + not occur, because each is discovered either as a 'tree' or 'forward' edge. + + Parameters + ---------- + G : NetworkX graph + A graph over which to find the layers using breadth-first search. + + sources : node in `G` or list of nodes in `G` + Starting nodes for single source or multiple sources breadth-first search + + Yields + ------ + edges: generator + A generator of triples (*u*, *v*, *d*) where (*u*, *v*) is the edge being + explored and *d* is described above. + + Examples + -------- + >>> G = nx.cycle_graph(4, create_using=nx.DiGraph) + >>> list(nx.bfs_labeled_edges(G, 0)) + [(0, 1, 'tree'), (1, 2, 'tree'), (2, 3, 'tree'), (3, 0, 'reverse')] + >>> G = nx.complete_graph(3) + >>> list(nx.bfs_labeled_edges(G, 0)) + [(0, 1, 'tree'), (0, 2, 'tree'), (1, 2, 'level')] + >>> list(nx.bfs_labeled_edges(G, [0, 1])) + [(0, 1, 'level'), (0, 2, 'tree'), (1, 2, 'forward')] + """ + if sources in G: + sources = [sources] + + neighbors = G._adj + directed = G.is_directed() + visited = set() + visit = visited.discard if directed else visited.add + # We use visited in a negative sense, so the visited set stays empty for the + # directed case and level edges are reported on their first occurrence in + # the undirected case. Note our use of visited.discard -- this is built-in + # thus somewhat faster than a python-defined def nop(x): pass + depth = {s: 0 for s in sources} + queue = deque(depth.items()) + push = queue.append + pop = queue.popleft + while queue: + u, du = pop() + for v in neighbors[u]: + if v not in depth: + depth[v] = dv = du + 1 + push((v, dv)) + yield u, v, TREE_EDGE + else: + dv = depth[v] + if du == dv: + if v not in visited: + yield u, v, LEVEL_EDGE + elif du < dv: + yield u, v, FORWARD_EDGE + elif directed: + yield u, v, REVERSE_EDGE + visit(u) + + +@nx._dispatchable +def descendants_at_distance(G, source, distance): + """Returns all nodes at a fixed `distance` from `source` in `G`. + + Parameters + ---------- + G : NetworkX graph + A graph + source : node in `G` + distance : the distance of the wanted nodes from `source` + + Returns + ------- + set() + The descendants of `source` in `G` at the given `distance` from `source` + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.descendants_at_distance(G, 2, 2) + {0, 4} + >>> H = nx.DiGraph() + >>> H.add_edges_from([(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)]) + >>> nx.descendants_at_distance(H, 0, 2) + {3, 4, 5, 6} + >>> nx.descendants_at_distance(H, 5, 0) + {5} + >>> nx.descendants_at_distance(H, 5, 1) + set() + """ + if source not in G: + raise nx.NetworkXError(f"The node {source} is not in the graph.") + + bfs_generator = nx.bfs_layers(G, source) + for i, layer in enumerate(bfs_generator): + if i == distance: + return set(layer) + return set() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/depth_first_search.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/depth_first_search.py new file mode 100644 index 0000000000000000000000000000000000000000..5bac5ecfd1cbefcba5707cac2885ef32987ee98b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/depth_first_search.py @@ -0,0 +1,529 @@ +"""Basic algorithms for depth-first searching the nodes of a graph.""" + +from collections import defaultdict + +import networkx as nx + +__all__ = [ + "dfs_edges", + "dfs_tree", + "dfs_predecessors", + "dfs_successors", + "dfs_preorder_nodes", + "dfs_postorder_nodes", + "dfs_labeled_edges", +] + + +@nx._dispatchable +def dfs_edges(G, source=None, depth_limit=None, *, sort_neighbors=None): + """Iterate over edges in a depth-first-search (DFS). + + Perform a depth-first-search over the nodes of `G` and yield + the edges in order. This may not generate all edges in `G` + (see `~networkx.algorithms.traversal.edgedfs.edge_dfs`). + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search and yield edges in + the component reachable from source. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Yields + ------ + edge: 2-tuple of nodes + Yields edges resulting from the depth-first-search. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> list(nx.dfs_edges(G, source=0)) + [(0, 1), (1, 2), (2, 3), (3, 4)] + >>> list(nx.dfs_edges(G, source=0, depth_limit=2)) + [(0, 1), (1, 2)] + + Notes + ----- + If a source is not specified then a source is chosen arbitrarily and + repeatedly until all components in the graph are searched. + + The implementation of this function is adapted from David Eppstein's + depth-first search function in PADS [1]_, with modifications + to allow depth limits based on the Wikipedia article + "Depth-limited search" [2]_. + + See Also + -------- + dfs_preorder_nodes + dfs_postorder_nodes + dfs_labeled_edges + :func:`~networkx.algorithms.traversal.edgedfs.edge_dfs` + :func:`~networkx.algorithms.traversal.breadth_first_search.bfs_edges` + + References + ---------- + .. [1] http://www.ics.uci.edu/~eppstein/PADS + .. [2] https://en.wikipedia.org/wiki/Depth-limited_search + """ + if source is None: + # edges for all components + nodes = G + else: + # edges for components with source + nodes = [source] + if depth_limit is None: + depth_limit = len(G) + + get_children = ( + G.neighbors + if sort_neighbors is None + else lambda n: iter(sort_neighbors(G.neighbors(n))) + ) + + visited = set() + for start in nodes: + if start in visited: + continue + visited.add(start) + stack = [(start, get_children(start))] + depth_now = 1 + while stack: + parent, children = stack[-1] + for child in children: + if child not in visited: + yield parent, child + visited.add(child) + if depth_now < depth_limit: + stack.append((child, get_children(child))) + depth_now += 1 + break + else: + stack.pop() + depth_now -= 1 + + +@nx._dispatchable(returns_graph=True) +def dfs_tree(G, source=None, depth_limit=None, *, sort_neighbors=None): + """Returns oriented tree constructed from a depth-first-search from source. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + T : NetworkX DiGraph + An oriented tree + + Examples + -------- + >>> G = nx.path_graph(5) + >>> T = nx.dfs_tree(G, source=0, depth_limit=2) + >>> list(T.edges()) + [(0, 1), (1, 2)] + >>> T = nx.dfs_tree(G, source=0) + >>> list(T.edges()) + [(0, 1), (1, 2), (2, 3), (3, 4)] + + See Also + -------- + dfs_preorder_nodes + dfs_postorder_nodes + dfs_labeled_edges + :func:`~networkx.algorithms.traversal.edgedfs.edge_dfs` + :func:`~networkx.algorithms.traversal.breadth_first_search.bfs_tree` + """ + T = nx.DiGraph() + if source is None: + T.add_nodes_from(G) + else: + T.add_node(source) + T.add_edges_from(dfs_edges(G, source, depth_limit, sort_neighbors=sort_neighbors)) + return T + + +@nx._dispatchable +def dfs_predecessors(G, source=None, depth_limit=None, *, sort_neighbors=None): + """Returns dictionary of predecessors in depth-first-search from source. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search. + Note that you will get predecessors for all nodes in the + component containing `source`. This input only specifies + where the DFS starts. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + pred: dict + A dictionary with nodes as keys and predecessor nodes as values. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.dfs_predecessors(G, source=0) + {1: 0, 2: 1, 3: 2} + >>> nx.dfs_predecessors(G, source=0, depth_limit=2) + {1: 0, 2: 1} + + Notes + ----- + If a source is not specified then a source is chosen arbitrarily and + repeatedly until all components in the graph are searched. + + The implementation of this function is adapted from David Eppstein's + depth-first search function in `PADS`_, with modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited search`_". + + .. _PADS: http://www.ics.uci.edu/~eppstein/PADS + .. _Depth-limited search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + dfs_preorder_nodes + dfs_postorder_nodes + dfs_labeled_edges + :func:`~networkx.algorithms.traversal.edgedfs.edge_dfs` + :func:`~networkx.algorithms.traversal.breadth_first_search.bfs_tree` + """ + return { + t: s + for s, t in dfs_edges(G, source, depth_limit, sort_neighbors=sort_neighbors) + } + + +@nx._dispatchable +def dfs_successors(G, source=None, depth_limit=None, *, sort_neighbors=None): + """Returns dictionary of successors in depth-first-search from source. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search. + Note that you will get successors for all nodes in the + component containing `source`. This input only specifies + where the DFS starts. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + succ: dict + A dictionary with nodes as keys and list of successor nodes as values. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.dfs_successors(G, source=0) + {0: [1], 1: [2], 2: [3], 3: [4]} + >>> nx.dfs_successors(G, source=0, depth_limit=2) + {0: [1], 1: [2]} + + Notes + ----- + If a source is not specified then a source is chosen arbitrarily and + repeatedly until all components in the graph are searched. + + The implementation of this function is adapted from David Eppstein's + depth-first search function in `PADS`_, with modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited search`_". + + .. _PADS: http://www.ics.uci.edu/~eppstein/PADS + .. _Depth-limited search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + dfs_preorder_nodes + dfs_postorder_nodes + dfs_labeled_edges + :func:`~networkx.algorithms.traversal.edgedfs.edge_dfs` + :func:`~networkx.algorithms.traversal.breadth_first_search.bfs_tree` + """ + d = defaultdict(list) + for s, t in dfs_edges( + G, + source=source, + depth_limit=depth_limit, + sort_neighbors=sort_neighbors, + ): + d[s].append(t) + return dict(d) + + +@nx._dispatchable +def dfs_postorder_nodes(G, source=None, depth_limit=None, *, sort_neighbors=None): + """Generate nodes in a depth-first-search post-ordering starting at source. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + nodes: generator + A generator of nodes in a depth-first-search post-ordering. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> list(nx.dfs_postorder_nodes(G, source=0)) + [4, 3, 2, 1, 0] + >>> list(nx.dfs_postorder_nodes(G, source=0, depth_limit=2)) + [1, 0] + + Notes + ----- + If a source is not specified then a source is chosen arbitrarily and + repeatedly until all components in the graph are searched. + + The implementation of this function is adapted from David Eppstein's + depth-first search function in `PADS`_, with modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited search`_". + + .. _PADS: http://www.ics.uci.edu/~eppstein/PADS + .. _Depth-limited search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + dfs_edges + dfs_preorder_nodes + dfs_labeled_edges + :func:`~networkx.algorithms.traversal.edgedfs.edge_dfs` + :func:`~networkx.algorithms.traversal.breadth_first_search.bfs_tree` + """ + edges = nx.dfs_labeled_edges( + G, source=source, depth_limit=depth_limit, sort_neighbors=sort_neighbors + ) + return (v for u, v, d in edges if d == "reverse") + + +@nx._dispatchable +def dfs_preorder_nodes(G, source=None, depth_limit=None, *, sort_neighbors=None): + """Generate nodes in a depth-first-search pre-ordering starting at source. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search and return nodes in + the component reachable from source. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + nodes: generator + A generator of nodes in a depth-first-search pre-ordering. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> list(nx.dfs_preorder_nodes(G, source=0)) + [0, 1, 2, 3, 4] + >>> list(nx.dfs_preorder_nodes(G, source=0, depth_limit=2)) + [0, 1, 2] + + Notes + ----- + If a source is not specified then a source is chosen arbitrarily and + repeatedly until all components in the graph are searched. + + The implementation of this function is adapted from David Eppstein's + depth-first search function in `PADS`_, with modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited search`_". + + .. _PADS: http://www.ics.uci.edu/~eppstein/PADS + .. _Depth-limited search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + dfs_edges + dfs_postorder_nodes + dfs_labeled_edges + :func:`~networkx.algorithms.traversal.breadth_first_search.bfs_edges` + """ + edges = nx.dfs_labeled_edges( + G, source=source, depth_limit=depth_limit, sort_neighbors=sort_neighbors + ) + return (v for u, v, d in edges if d == "forward") + + +@nx._dispatchable +def dfs_labeled_edges(G, source=None, depth_limit=None, *, sort_neighbors=None): + """Iterate over edges in a depth-first-search (DFS) labeled by type. + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search and return edges in + the component reachable from source. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + sort_neighbors : function (default=None) + A function that takes an iterator over nodes as the input, and + returns an iterable of the same nodes with a custom ordering. + For example, `sorted` will sort the nodes in increasing order. + + Returns + ------- + edges: generator + A generator of triples of the form (*u*, *v*, *d*), where (*u*, + *v*) is the edge being explored in the depth-first search and *d* + is one of the strings 'forward', 'nontree', 'reverse', or 'reverse-depth_limit'. + A 'forward' edge is one in which *u* has been visited but *v* has + not. A 'nontree' edge is one in which both *u* and *v* have been + visited but the edge is not in the DFS tree. A 'reverse' edge is + one in which both *u* and *v* have been visited and the edge is in + the DFS tree. When the `depth_limit` is reached via a 'forward' edge, + a 'reverse' edge is immediately generated rather than the subtree + being explored. To indicate this flavor of 'reverse' edge, the string + yielded is 'reverse-depth_limit'. + + Examples + -------- + + The labels reveal the complete transcript of the depth-first search + algorithm in more detail than, for example, :func:`dfs_edges`:: + + >>> from pprint import pprint + >>> + >>> G = nx.DiGraph([(0, 1), (1, 2), (2, 1)]) + >>> pprint(list(nx.dfs_labeled_edges(G, source=0))) + [(0, 0, 'forward'), + (0, 1, 'forward'), + (1, 2, 'forward'), + (2, 1, 'nontree'), + (1, 2, 'reverse'), + (0, 1, 'reverse'), + (0, 0, 'reverse')] + + Notes + ----- + If a source is not specified then a source is chosen arbitrarily and + repeatedly until all components in the graph are searched. + + The implementation of this function is adapted from David Eppstein's + depth-first search function in `PADS`_, with modifications + to allow depth limits based on the Wikipedia article + "`Depth-limited search`_". + + .. _PADS: http://www.ics.uci.edu/~eppstein/PADS + .. _Depth-limited search: https://en.wikipedia.org/wiki/Depth-limited_search + + See Also + -------- + dfs_edges + dfs_preorder_nodes + dfs_postorder_nodes + """ + # Based on http://www.ics.uci.edu/~eppstein/PADS/DFS.py + # by D. Eppstein, July 2004. + if source is None: + # edges for all components + nodes = G + else: + # edges for components with source + nodes = [source] + if depth_limit is None: + depth_limit = len(G) + + get_children = ( + G.neighbors + if sort_neighbors is None + else lambda n: iter(sort_neighbors(G.neighbors(n))) + ) + + visited = set() + for start in nodes: + if start in visited: + continue + yield start, start, "forward" + visited.add(start) + stack = [(start, get_children(start))] + depth_now = 1 + while stack: + parent, children = stack[-1] + for child in children: + if child in visited: + yield parent, child, "nontree" + else: + yield parent, child, "forward" + visited.add(child) + if depth_now < depth_limit: + stack.append((child, iter(get_children(child)))) + depth_now += 1 + break + else: + yield parent, child, "reverse-depth_limit" + else: + stack.pop() + depth_now -= 1 + if stack: + yield stack[-1][0], parent, "reverse" + yield start, start, "reverse" diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/edgebfs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/edgebfs.py new file mode 100644 index 0000000000000000000000000000000000000000..6320ddc2a683187136103dd1cb18036ae3088d03 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/edgebfs.py @@ -0,0 +1,178 @@ +""" +============================= +Breadth First Search on Edges +============================= + +Algorithms for a breadth-first traversal of edges in a graph. + +""" + +from collections import deque + +import networkx as nx + +FORWARD = "forward" +REVERSE = "reverse" + +__all__ = ["edge_bfs"] + + +@nx._dispatchable +def edge_bfs(G, source=None, orientation=None): + """A directed, breadth-first-search of edges in `G`, beginning at `source`. + + Yield the edges of G in a breadth-first-search order continuing until + all edges are generated. + + Parameters + ---------- + G : graph + A directed/undirected graph/multigraph. + + source : node, list of nodes + The node from which the traversal begins. If None, then a source + is chosen arbitrarily and repeatedly until all edges from each node in + the graph are searched. + + orientation : None | 'original' | 'reverse' | 'ignore' (default: None) + For directed graphs and directed multigraphs, edge traversals need not + respect the original orientation of the edges. + When set to 'reverse' every edge is traversed in the reverse direction. + When set to 'ignore', every edge is treated as undirected. + When set to 'original', every edge is treated as directed. + In all three cases, the yielded edge tuples add a last entry to + indicate the direction in which that edge was traversed. + If orientation is None, the yielded edge has no direction indicated. + The direction is respected, but not reported. + + Yields + ------ + edge : directed edge + A directed edge indicating the path taken by the breadth-first-search. + For graphs, `edge` is of the form `(u, v)` where `u` and `v` + are the tail and head of the edge as determined by the traversal. + For multigraphs, `edge` is of the form `(u, v, key)`, where `key` is + the key of the edge. When the graph is directed, then `u` and `v` + are always in the order of the actual directed edge. + If orientation is not None then the edge tuple is extended to include + the direction of traversal ('forward' or 'reverse') on that edge. + + Examples + -------- + >>> nodes = [0, 1, 2, 3] + >>> edges = [(0, 1), (1, 0), (1, 0), (2, 0), (2, 1), (3, 1)] + + >>> list(nx.edge_bfs(nx.Graph(edges), nodes)) + [(0, 1), (0, 2), (1, 2), (1, 3)] + + >>> list(nx.edge_bfs(nx.DiGraph(edges), nodes)) + [(0, 1), (1, 0), (2, 0), (2, 1), (3, 1)] + + >>> list(nx.edge_bfs(nx.MultiGraph(edges), nodes)) + [(0, 1, 0), (0, 1, 1), (0, 1, 2), (0, 2, 0), (1, 2, 0), (1, 3, 0)] + + >>> list(nx.edge_bfs(nx.MultiDiGraph(edges), nodes)) + [(0, 1, 0), (1, 0, 0), (1, 0, 1), (2, 0, 0), (2, 1, 0), (3, 1, 0)] + + >>> list(nx.edge_bfs(nx.DiGraph(edges), nodes, orientation="ignore")) + [(0, 1, 'forward'), (1, 0, 'reverse'), (2, 0, 'reverse'), (2, 1, 'reverse'), (3, 1, 'reverse')] + + >>> list(nx.edge_bfs(nx.MultiDiGraph(edges), nodes, orientation="ignore")) + [(0, 1, 0, 'forward'), (1, 0, 0, 'reverse'), (1, 0, 1, 'reverse'), (2, 0, 0, 'reverse'), (2, 1, 0, 'reverse'), (3, 1, 0, 'reverse')] + + Notes + ----- + The goal of this function is to visit edges. It differs from the more + familiar breadth-first-search of nodes, as provided by + :func:`networkx.algorithms.traversal.breadth_first_search.bfs_edges`, in + that it does not stop once every node has been visited. In a directed graph + with edges [(0, 1), (1, 2), (2, 1)], the edge (2, 1) would not be visited + if not for the functionality provided by this function. + + The naming of this function is very similar to bfs_edges. The difference + is that 'edge_bfs' yields edges even if they extend back to an already + explored node while 'bfs_edges' yields the edges of the tree that results + from a breadth-first-search (BFS) so no edges are reported if they extend + to already explored nodes. That means 'edge_bfs' reports all edges while + 'bfs_edges' only report those traversed by a node-based BFS. Yet another + description is that 'bfs_edges' reports the edges traversed during BFS + while 'edge_bfs' reports all edges in the order they are explored. + + See Also + -------- + bfs_edges + bfs_tree + edge_dfs + + """ + nodes = list(G.nbunch_iter(source)) + if not nodes: + return + + directed = G.is_directed() + kwds = {"data": False} + if G.is_multigraph() is True: + kwds["keys"] = True + + # set up edge lookup + if orientation is None: + + def edges_from(node): + return iter(G.edges(node, **kwds)) + + elif not directed or orientation == "original": + + def edges_from(node): + for e in G.edges(node, **kwds): + yield e + (FORWARD,) + + elif orientation == "reverse": + + def edges_from(node): + for e in G.in_edges(node, **kwds): + yield e + (REVERSE,) + + elif orientation == "ignore": + + def edges_from(node): + for e in G.edges(node, **kwds): + yield e + (FORWARD,) + for e in G.in_edges(node, **kwds): + yield e + (REVERSE,) + + else: + raise nx.NetworkXError("invalid orientation argument.") + + if directed: + neighbors = G.successors + + def edge_id(edge): + # remove direction indicator + return edge[:-1] if orientation is not None else edge + + else: + neighbors = G.neighbors + + def edge_id(edge): + return (frozenset(edge[:2]),) + edge[2:] + + check_reverse = directed and orientation in ("reverse", "ignore") + + # start BFS + visited_nodes = set(nodes) + visited_edges = set() + queue = deque([(n, edges_from(n)) for n in nodes]) + while queue: + parent, children_edges = queue.popleft() + for edge in children_edges: + if check_reverse and edge[-1] == REVERSE: + child = edge[0] + else: + child = edge[1] + if child not in visited_nodes: + visited_nodes.add(child) + queue.append((child, edges_from(child))) + edgeid = edge_id(edge) + if edgeid not in visited_edges: + visited_edges.add(edgeid) + yield edge diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/edgedfs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/edgedfs.py new file mode 100644 index 0000000000000000000000000000000000000000..8f657f39fdd8a24660772d7cc3cef0f641ed61c5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/edgedfs.py @@ -0,0 +1,176 @@ +""" +=========================== +Depth First Search on Edges +=========================== + +Algorithms for a depth-first traversal of edges in a graph. + +""" + +import networkx as nx + +FORWARD = "forward" +REVERSE = "reverse" + +__all__ = ["edge_dfs"] + + +@nx._dispatchable +def edge_dfs(G, source=None, orientation=None): + """A directed, depth-first-search of edges in `G`, beginning at `source`. + + Yield the edges of G in a depth-first-search order continuing until + all edges are generated. + + Parameters + ---------- + G : graph + A directed/undirected graph/multigraph. + + source : node, list of nodes + The node from which the traversal begins. If None, then a source + is chosen arbitrarily and repeatedly until all edges from each node in + the graph are searched. + + orientation : None | 'original' | 'reverse' | 'ignore' (default: None) + For directed graphs and directed multigraphs, edge traversals need not + respect the original orientation of the edges. + When set to 'reverse' every edge is traversed in the reverse direction. + When set to 'ignore', every edge is treated as undirected. + When set to 'original', every edge is treated as directed. + In all three cases, the yielded edge tuples add a last entry to + indicate the direction in which that edge was traversed. + If orientation is None, the yielded edge has no direction indicated. + The direction is respected, but not reported. + + Yields + ------ + edge : directed edge + A directed edge indicating the path taken by the depth-first traversal. + For graphs, `edge` is of the form `(u, v)` where `u` and `v` + are the tail and head of the edge as determined by the traversal. + For multigraphs, `edge` is of the form `(u, v, key)`, where `key` is + the key of the edge. When the graph is directed, then `u` and `v` + are always in the order of the actual directed edge. + If orientation is not None then the edge tuple is extended to include + the direction of traversal ('forward' or 'reverse') on that edge. + + Examples + -------- + >>> nodes = [0, 1, 2, 3] + >>> edges = [(0, 1), (1, 0), (1, 0), (2, 1), (3, 1)] + + >>> list(nx.edge_dfs(nx.Graph(edges), nodes)) + [(0, 1), (1, 2), (1, 3)] + + >>> list(nx.edge_dfs(nx.DiGraph(edges), nodes)) + [(0, 1), (1, 0), (2, 1), (3, 1)] + + >>> list(nx.edge_dfs(nx.MultiGraph(edges), nodes)) + [(0, 1, 0), (1, 0, 1), (0, 1, 2), (1, 2, 0), (1, 3, 0)] + + >>> list(nx.edge_dfs(nx.MultiDiGraph(edges), nodes)) + [(0, 1, 0), (1, 0, 0), (1, 0, 1), (2, 1, 0), (3, 1, 0)] + + >>> list(nx.edge_dfs(nx.DiGraph(edges), nodes, orientation="ignore")) + [(0, 1, 'forward'), (1, 0, 'forward'), (2, 1, 'reverse'), (3, 1, 'reverse')] + + >>> list(nx.edge_dfs(nx.MultiDiGraph(edges), nodes, orientation="ignore")) + [(0, 1, 0, 'forward'), (1, 0, 0, 'forward'), (1, 0, 1, 'reverse'), (2, 1, 0, 'reverse'), (3, 1, 0, 'reverse')] + + Notes + ----- + The goal of this function is to visit edges. It differs from the more + familiar depth-first traversal of nodes, as provided by + :func:`~networkx.algorithms.traversal.depth_first_search.dfs_edges`, in + that it does not stop once every node has been visited. In a directed graph + with edges [(0, 1), (1, 2), (2, 1)], the edge (2, 1) would not be visited + if not for the functionality provided by this function. + + See Also + -------- + :func:`~networkx.algorithms.traversal.depth_first_search.dfs_edges` + + """ + nodes = list(G.nbunch_iter(source)) + if not nodes: + return + + directed = G.is_directed() + kwds = {"data": False} + if G.is_multigraph() is True: + kwds["keys"] = True + + # set up edge lookup + if orientation is None: + + def edges_from(node): + return iter(G.edges(node, **kwds)) + + elif not directed or orientation == "original": + + def edges_from(node): + for e in G.edges(node, **kwds): + yield e + (FORWARD,) + + elif orientation == "reverse": + + def edges_from(node): + for e in G.in_edges(node, **kwds): + yield e + (REVERSE,) + + elif orientation == "ignore": + + def edges_from(node): + for e in G.edges(node, **kwds): + yield e + (FORWARD,) + for e in G.in_edges(node, **kwds): + yield e + (REVERSE,) + + else: + raise nx.NetworkXError("invalid orientation argument.") + + # set up formation of edge_id to easily look up if edge already returned + if directed: + + def edge_id(edge): + # remove direction indicator + return edge[:-1] if orientation is not None else edge + + else: + + def edge_id(edge): + # single id for undirected requires frozenset on nodes + return (frozenset(edge[:2]),) + edge[2:] + + # Basic setup + check_reverse = directed and orientation in ("reverse", "ignore") + + visited_edges = set() + visited_nodes = set() + edges = {} + + # start DFS + for start_node in nodes: + stack = [start_node] + while stack: + current_node = stack[-1] + if current_node not in visited_nodes: + edges[current_node] = edges_from(current_node) + visited_nodes.add(current_node) + + try: + edge = next(edges[current_node]) + except StopIteration: + # No more edges from the current node. + stack.pop() + else: + edgeid = edge_id(edge) + if edgeid not in visited_edges: + visited_edges.add(edgeid) + # Mark the traversed "to" node as to-be-explored. + if check_reverse and edge[-1] == REVERSE: + stack.append(edge[0]) + else: + stack.append(edge[1]) + yield edge diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_beamsearch.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_beamsearch.py new file mode 100644 index 0000000000000000000000000000000000000000..049f116b62fb595977d5ed94d01b9c15baf17fb3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_beamsearch.py @@ -0,0 +1,25 @@ +"""Unit tests for the beam search functions.""" + +import pytest + +import networkx as nx + + +def test_narrow(): + """Tests that a narrow beam width may cause an incomplete search.""" + # In this search, we enqueue only the neighbor 3 at the first + # step, then only the neighbor 2 at the second step. Once at + # node 2, the search chooses node 3, since it has a higher value + # than node 1, but node 3 has already been visited, so the + # search terminates. + G = nx.cycle_graph(4) + edges = nx.bfs_beam_edges(G, source=0, value=lambda n: n, width=1) + assert list(edges) == [(0, 3), (3, 2)] + + +@pytest.mark.parametrize("width", (2, None)) +def test_wide(width): + """All nodes are searched when `width` is None or >= max degree""" + G = nx.cycle_graph(4) + edges = nx.bfs_beam_edges(G, source=0, value=lambda n: n, width=width) + assert list(edges) == [(0, 3), (0, 1), (3, 2)] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_bfs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_bfs.py new file mode 100644 index 0000000000000000000000000000000000000000..fcfbbc68dc113fe3363233a98faa3e99d44df689 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_bfs.py @@ -0,0 +1,203 @@ +from functools import partial + +import pytest + +import networkx as nx + + +class TestBFS: + @classmethod + def setup_class(cls): + # simple graph + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4)]) + cls.G = G + + def test_successor(self): + assert dict(nx.bfs_successors(self.G, source=0)) == {0: [1], 1: [2, 3], 2: [4]} + + def test_predecessor(self): + assert dict(nx.bfs_predecessors(self.G, source=0)) == {1: 0, 2: 1, 3: 1, 4: 2} + + def test_bfs_tree(self): + T = nx.bfs_tree(self.G, source=0) + assert sorted(T.nodes()) == sorted(self.G.nodes()) + assert sorted(T.edges()) == [(0, 1), (1, 2), (1, 3), (2, 4)] + + def test_bfs_edges(self): + edges = nx.bfs_edges(self.G, source=0) + assert list(edges) == [(0, 1), (1, 2), (1, 3), (2, 4)] + + def test_bfs_edges_reverse(self): + D = nx.DiGraph() + D.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4)]) + edges = nx.bfs_edges(D, source=4, reverse=True) + assert list(edges) == [(4, 2), (4, 3), (2, 1), (1, 0)] + + def test_bfs_edges_sorting(self): + D = nx.DiGraph() + D.add_edges_from([(0, 1), (0, 2), (1, 4), (1, 3), (2, 5)]) + sort_desc = partial(sorted, reverse=True) + edges_asc = nx.bfs_edges(D, source=0, sort_neighbors=sorted) + edges_desc = nx.bfs_edges(D, source=0, sort_neighbors=sort_desc) + assert list(edges_asc) == [(0, 1), (0, 2), (1, 3), (1, 4), (2, 5)] + assert list(edges_desc) == [(0, 2), (0, 1), (2, 5), (1, 4), (1, 3)] + + def test_bfs_tree_isolates(self): + G = nx.Graph() + G.add_node(1) + G.add_node(2) + T = nx.bfs_tree(G, source=1) + assert sorted(T.nodes()) == [1] + assert sorted(T.edges()) == [] + + def test_bfs_layers(self): + expected = { + 0: [0], + 1: [1], + 2: [2, 3], + 3: [4], + } + assert dict(enumerate(nx.bfs_layers(self.G, sources=[0]))) == expected + assert dict(enumerate(nx.bfs_layers(self.G, sources=0))) == expected + + def test_bfs_layers_missing_source(self): + with pytest.raises(nx.NetworkXError): + next(nx.bfs_layers(self.G, sources="abc")) + with pytest.raises(nx.NetworkXError): + next(nx.bfs_layers(self.G, sources=["abc"])) + + def test_descendants_at_distance(self): + for distance, descendants in enumerate([{0}, {1}, {2, 3}, {4}]): + assert nx.descendants_at_distance(self.G, 0, distance) == descendants + + def test_descendants_at_distance_missing_source(self): + with pytest.raises(nx.NetworkXError): + nx.descendants_at_distance(self.G, "abc", 0) + + def test_bfs_labeled_edges_directed(self): + D = nx.cycle_graph(5, create_using=nx.DiGraph) + expected = [ + (0, 1, "tree"), + (1, 2, "tree"), + (2, 3, "tree"), + (3, 4, "tree"), + (4, 0, "reverse"), + ] + answer = list(nx.bfs_labeled_edges(D, 0)) + assert expected == answer + + D.add_edge(4, 4) + expected.append((4, 4, "level")) + answer = list(nx.bfs_labeled_edges(D, 0)) + assert expected == answer + + D.add_edge(0, 2) + D.add_edge(1, 5) + D.add_edge(2, 5) + D.remove_edge(4, 4) + expected = [ + (0, 1, "tree"), + (0, 2, "tree"), + (1, 2, "level"), + (1, 5, "tree"), + (2, 3, "tree"), + (2, 5, "forward"), + (3, 4, "tree"), + (4, 0, "reverse"), + ] + answer = list(nx.bfs_labeled_edges(D, 0)) + assert expected == answer + + G = D.to_undirected() + G.add_edge(4, 4) + expected = [ + (0, 1, "tree"), + (0, 2, "tree"), + (0, 4, "tree"), + (1, 2, "level"), + (1, 5, "tree"), + (2, 3, "tree"), + (2, 5, "forward"), + (4, 3, "forward"), + (4, 4, "level"), + ] + answer = list(nx.bfs_labeled_edges(G, 0)) + assert expected == answer + + +class TestBreadthLimitedSearch: + @classmethod + def setup_class(cls): + # a tree + G = nx.Graph() + nx.add_path(G, [0, 1, 2, 3, 4, 5, 6]) + nx.add_path(G, [2, 7, 8, 9, 10]) + cls.G = G + # a disconnected graph + D = nx.Graph() + D.add_edges_from([(0, 1), (2, 3)]) + nx.add_path(D, [2, 7, 8, 9, 10]) + cls.D = D + + def test_limited_bfs_successor(self): + assert dict(nx.bfs_successors(self.G, source=1, depth_limit=3)) == { + 1: [0, 2], + 2: [3, 7], + 3: [4], + 7: [8], + } + result = { + n: sorted(s) for n, s in nx.bfs_successors(self.D, source=7, depth_limit=2) + } + assert result == {8: [9], 2: [3], 7: [2, 8]} + + def test_limited_bfs_predecessor(self): + assert dict(nx.bfs_predecessors(self.G, source=1, depth_limit=3)) == { + 0: 1, + 2: 1, + 3: 2, + 4: 3, + 7: 2, + 8: 7, + } + assert dict(nx.bfs_predecessors(self.D, source=7, depth_limit=2)) == { + 2: 7, + 3: 2, + 8: 7, + 9: 8, + } + + def test_limited_bfs_tree(self): + T = nx.bfs_tree(self.G, source=3, depth_limit=1) + assert sorted(T.edges()) == [(3, 2), (3, 4)] + + def test_limited_bfs_edges(self): + edges = nx.bfs_edges(self.G, source=9, depth_limit=4) + assert list(edges) == [(9, 8), (9, 10), (8, 7), (7, 2), (2, 1), (2, 3)] + + def test_limited_bfs_layers(self): + assert dict(enumerate(nx.bfs_layers(self.G, sources=[0]))) == { + 0: [0], + 1: [1], + 2: [2], + 3: [3, 7], + 4: [4, 8], + 5: [5, 9], + 6: [6, 10], + } + assert dict(enumerate(nx.bfs_layers(self.D, sources=2))) == { + 0: [2], + 1: [3, 7], + 2: [8], + 3: [9], + 4: [10], + } + + def test_limited_descendants_at_distance(self): + for distance, descendants in enumerate( + [{0}, {1}, {2}, {3, 7}, {4, 8}, {5, 9}, {6, 10}] + ): + assert nx.descendants_at_distance(self.G, 0, distance) == descendants + for distance, descendants in enumerate([{2}, {3, 7}, {8}, {9}, {10}]): + assert nx.descendants_at_distance(self.D, 2, distance) == descendants diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_dfs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_dfs.py new file mode 100644 index 0000000000000000000000000000000000000000..e43d7d61629838aedc01b0a1624e018c0268fe11 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_dfs.py @@ -0,0 +1,305 @@ +import networkx as nx + + +class TestDFS: + @classmethod + def setup_class(cls): + # simple graph + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 0), (0, 4)]) + cls.G = G + # simple graph, disconnected + D = nx.Graph() + D.add_edges_from([(0, 1), (2, 3)]) + cls.D = D + + def test_preorder_nodes(self): + assert list(nx.dfs_preorder_nodes(self.G, source=0)) == [0, 1, 2, 4, 3] + assert list(nx.dfs_preorder_nodes(self.D)) == [0, 1, 2, 3] + assert list(nx.dfs_preorder_nodes(self.D, source=2)) == [2, 3] + + def test_postorder_nodes(self): + assert list(nx.dfs_postorder_nodes(self.G, source=0)) == [4, 2, 3, 1, 0] + assert list(nx.dfs_postorder_nodes(self.D)) == [1, 0, 3, 2] + assert list(nx.dfs_postorder_nodes(self.D, source=0)) == [1, 0] + + def test_successor(self): + assert nx.dfs_successors(self.G, source=0) == {0: [1], 1: [2, 3], 2: [4]} + assert nx.dfs_successors(self.G, source=1) == {0: [3, 4], 1: [0], 4: [2]} + assert nx.dfs_successors(self.D) == {0: [1], 2: [3]} + assert nx.dfs_successors(self.D, source=1) == {1: [0]} + + def test_predecessor(self): + assert nx.dfs_predecessors(self.G, source=0) == {1: 0, 2: 1, 3: 1, 4: 2} + assert nx.dfs_predecessors(self.D) == {1: 0, 3: 2} + + def test_dfs_tree(self): + exp_nodes = sorted(self.G.nodes()) + exp_edges = [(0, 1), (1, 2), (1, 3), (2, 4)] + # Search from first node + T = nx.dfs_tree(self.G, source=0) + assert sorted(T.nodes()) == exp_nodes + assert sorted(T.edges()) == exp_edges + # Check source=None + T = nx.dfs_tree(self.G, source=None) + assert sorted(T.nodes()) == exp_nodes + assert sorted(T.edges()) == exp_edges + # Check source=None is the default + T = nx.dfs_tree(self.G) + assert sorted(T.nodes()) == exp_nodes + assert sorted(T.edges()) == exp_edges + + def test_dfs_edges(self): + edges = nx.dfs_edges(self.G, source=0) + assert list(edges) == [(0, 1), (1, 2), (2, 4), (1, 3)] + edges = nx.dfs_edges(self.D) + assert list(edges) == [(0, 1), (2, 3)] + + def test_dfs_edges_sorting(self): + G = nx.Graph([(0, 1), (1, 2), (1, 3), (2, 4), (3, 0), (0, 4)]) + edges_asc = nx.dfs_edges(G, source=0, sort_neighbors=sorted) + sorted_desc = lambda x: sorted(x, reverse=True) + edges_desc = nx.dfs_edges(G, source=0, sort_neighbors=sorted_desc) + assert list(edges_asc) == [(0, 1), (1, 2), (2, 4), (1, 3)] + assert list(edges_desc) == [(0, 4), (4, 2), (2, 1), (1, 3)] + + def test_dfs_labeled_edges(self): + edges = list(nx.dfs_labeled_edges(self.G, source=0)) + forward = [(u, v) for (u, v, d) in edges if d == "forward"] + assert forward == [(0, 0), (0, 1), (1, 2), (2, 4), (1, 3)] + assert edges == [ + (0, 0, "forward"), + (0, 1, "forward"), + (1, 0, "nontree"), + (1, 2, "forward"), + (2, 1, "nontree"), + (2, 4, "forward"), + (4, 2, "nontree"), + (4, 0, "nontree"), + (2, 4, "reverse"), + (1, 2, "reverse"), + (1, 3, "forward"), + (3, 1, "nontree"), + (3, 0, "nontree"), + (1, 3, "reverse"), + (0, 1, "reverse"), + (0, 3, "nontree"), + (0, 4, "nontree"), + (0, 0, "reverse"), + ] + + def test_dfs_labeled_edges_sorting(self): + G = nx.Graph([(0, 1), (1, 2), (1, 3), (2, 4), (3, 0), (0, 4)]) + edges_asc = nx.dfs_labeled_edges(G, source=0, sort_neighbors=sorted) + sorted_desc = lambda x: sorted(x, reverse=True) + edges_desc = nx.dfs_labeled_edges(G, source=0, sort_neighbors=sorted_desc) + assert list(edges_asc) == [ + (0, 0, "forward"), + (0, 1, "forward"), + (1, 0, "nontree"), + (1, 2, "forward"), + (2, 1, "nontree"), + (2, 4, "forward"), + (4, 0, "nontree"), + (4, 2, "nontree"), + (2, 4, "reverse"), + (1, 2, "reverse"), + (1, 3, "forward"), + (3, 0, "nontree"), + (3, 1, "nontree"), + (1, 3, "reverse"), + (0, 1, "reverse"), + (0, 3, "nontree"), + (0, 4, "nontree"), + (0, 0, "reverse"), + ] + assert list(edges_desc) == [ + (0, 0, "forward"), + (0, 4, "forward"), + (4, 2, "forward"), + (2, 4, "nontree"), + (2, 1, "forward"), + (1, 3, "forward"), + (3, 1, "nontree"), + (3, 0, "nontree"), + (1, 3, "reverse"), + (1, 2, "nontree"), + (1, 0, "nontree"), + (2, 1, "reverse"), + (4, 2, "reverse"), + (4, 0, "nontree"), + (0, 4, "reverse"), + (0, 3, "nontree"), + (0, 1, "nontree"), + (0, 0, "reverse"), + ] + + def test_dfs_labeled_disconnected_edges(self): + edges = list(nx.dfs_labeled_edges(self.D)) + forward = [(u, v) for (u, v, d) in edges if d == "forward"] + assert forward == [(0, 0), (0, 1), (2, 2), (2, 3)] + assert edges == [ + (0, 0, "forward"), + (0, 1, "forward"), + (1, 0, "nontree"), + (0, 1, "reverse"), + (0, 0, "reverse"), + (2, 2, "forward"), + (2, 3, "forward"), + (3, 2, "nontree"), + (2, 3, "reverse"), + (2, 2, "reverse"), + ] + + def test_dfs_tree_isolates(self): + G = nx.Graph() + G.add_node(1) + G.add_node(2) + T = nx.dfs_tree(G, source=1) + assert sorted(T.nodes()) == [1] + assert sorted(T.edges()) == [] + T = nx.dfs_tree(G, source=None) + assert sorted(T.nodes()) == [1, 2] + assert sorted(T.edges()) == [] + + +class TestDepthLimitedSearch: + @classmethod + def setup_class(cls): + # a tree + G = nx.Graph() + nx.add_path(G, [0, 1, 2, 3, 4, 5, 6]) + nx.add_path(G, [2, 7, 8, 9, 10]) + cls.G = G + # a disconnected graph + D = nx.Graph() + D.add_edges_from([(0, 1), (2, 3)]) + nx.add_path(D, [2, 7, 8, 9, 10]) + cls.D = D + + def test_dls_preorder_nodes(self): + assert list(nx.dfs_preorder_nodes(self.G, source=0, depth_limit=2)) == [0, 1, 2] + assert list(nx.dfs_preorder_nodes(self.D, source=1, depth_limit=2)) == ([1, 0]) + + def test_dls_postorder_nodes(self): + assert list(nx.dfs_postorder_nodes(self.G, source=3, depth_limit=3)) == [ + 1, + 7, + 2, + 5, + 4, + 3, + ] + assert list(nx.dfs_postorder_nodes(self.D, source=2, depth_limit=2)) == ( + [3, 7, 2] + ) + + def test_dls_successor(self): + result = nx.dfs_successors(self.G, source=4, depth_limit=3) + assert {n: set(v) for n, v in result.items()} == { + 2: {1, 7}, + 3: {2}, + 4: {3, 5}, + 5: {6}, + } + result = nx.dfs_successors(self.D, source=7, depth_limit=2) + assert {n: set(v) for n, v in result.items()} == {8: {9}, 2: {3}, 7: {8, 2}} + + def test_dls_predecessor(self): + assert nx.dfs_predecessors(self.G, source=0, depth_limit=3) == { + 1: 0, + 2: 1, + 3: 2, + 7: 2, + } + assert nx.dfs_predecessors(self.D, source=2, depth_limit=3) == { + 8: 7, + 9: 8, + 3: 2, + 7: 2, + } + + def test_dls_tree(self): + T = nx.dfs_tree(self.G, source=3, depth_limit=1) + assert sorted(T.edges()) == [(3, 2), (3, 4)] + + def test_dls_edges(self): + edges = nx.dfs_edges(self.G, source=9, depth_limit=4) + assert list(edges) == [(9, 8), (8, 7), (7, 2), (2, 1), (2, 3), (9, 10)] + + def test_dls_labeled_edges_depth_1(self): + edges = list(nx.dfs_labeled_edges(self.G, source=5, depth_limit=1)) + forward = [(u, v) for (u, v, d) in edges if d == "forward"] + assert forward == [(5, 5), (5, 4), (5, 6)] + # Note: reverse-depth_limit edge types were not reported before gh-6240 + assert edges == [ + (5, 5, "forward"), + (5, 4, "forward"), + (5, 4, "reverse-depth_limit"), + (5, 6, "forward"), + (5, 6, "reverse-depth_limit"), + (5, 5, "reverse"), + ] + + def test_dls_labeled_edges_depth_2(self): + edges = list(nx.dfs_labeled_edges(self.G, source=6, depth_limit=2)) + forward = [(u, v) for (u, v, d) in edges if d == "forward"] + assert forward == [(6, 6), (6, 5), (5, 4)] + assert edges == [ + (6, 6, "forward"), + (6, 5, "forward"), + (5, 4, "forward"), + (5, 4, "reverse-depth_limit"), + (5, 6, "nontree"), + (6, 5, "reverse"), + (6, 6, "reverse"), + ] + + def test_dls_labeled_disconnected_edges(self): + edges = list(nx.dfs_labeled_edges(self.D, depth_limit=1)) + assert edges == [ + (0, 0, "forward"), + (0, 1, "forward"), + (0, 1, "reverse-depth_limit"), + (0, 0, "reverse"), + (2, 2, "forward"), + (2, 3, "forward"), + (2, 3, "reverse-depth_limit"), + (2, 7, "forward"), + (2, 7, "reverse-depth_limit"), + (2, 2, "reverse"), + (8, 8, "forward"), + (8, 7, "nontree"), + (8, 9, "forward"), + (8, 9, "reverse-depth_limit"), + (8, 8, "reverse"), + (10, 10, "forward"), + (10, 9, "nontree"), + (10, 10, "reverse"), + ] + # large depth_limit has no impact + edges = list(nx.dfs_labeled_edges(self.D, depth_limit=19)) + assert edges == [ + (0, 0, "forward"), + (0, 1, "forward"), + (1, 0, "nontree"), + (0, 1, "reverse"), + (0, 0, "reverse"), + (2, 2, "forward"), + (2, 3, "forward"), + (3, 2, "nontree"), + (2, 3, "reverse"), + (2, 7, "forward"), + (7, 2, "nontree"), + (7, 8, "forward"), + (8, 7, "nontree"), + (8, 9, "forward"), + (9, 8, "nontree"), + (9, 10, "forward"), + (10, 9, "nontree"), + (9, 10, "reverse"), + (8, 9, "reverse"), + (7, 8, "reverse"), + (2, 7, "reverse"), + (2, 2, "reverse"), + ] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_edgebfs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_edgebfs.py new file mode 100644 index 0000000000000000000000000000000000000000..1bf3fae0bd067dd548281e3382a6125f6e50ee22 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_edgebfs.py @@ -0,0 +1,147 @@ +import pytest + +import networkx as nx +from networkx.algorithms.traversal.edgedfs import FORWARD, REVERSE + + +class TestEdgeBFS: + @classmethod + def setup_class(cls): + cls.nodes = [0, 1, 2, 3] + cls.edges = [(0, 1), (1, 0), (1, 0), (2, 0), (2, 1), (3, 1)] + + def test_empty(self): + G = nx.Graph() + edges = list(nx.edge_bfs(G)) + assert edges == [] + + def test_graph_single_source(self): + G = nx.Graph(self.edges) + G.add_edge(4, 5) + x = list(nx.edge_bfs(G, [0])) + x_ = [(0, 1), (0, 2), (1, 2), (1, 3)] + assert x == x_ + + def test_graph(self): + G = nx.Graph(self.edges) + x = list(nx.edge_bfs(G, self.nodes)) + x_ = [(0, 1), (0, 2), (1, 2), (1, 3)] + assert x == x_ + + def test_digraph(self): + G = nx.DiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes)) + x_ = [(0, 1), (1, 0), (2, 0), (2, 1), (3, 1)] + assert x == x_ + + def test_digraph_orientation_invalid(self): + G = nx.DiGraph(self.edges) + edge_iterator = nx.edge_bfs(G, self.nodes, orientation="hello") + pytest.raises(nx.NetworkXError, list, edge_iterator) + + def test_digraph_orientation_none(self): + G = nx.DiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes, orientation=None)) + x_ = [(0, 1), (1, 0), (2, 0), (2, 1), (3, 1)] + assert x == x_ + + def test_digraph_orientation_original(self): + G = nx.DiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes, orientation="original")) + x_ = [ + (0, 1, FORWARD), + (1, 0, FORWARD), + (2, 0, FORWARD), + (2, 1, FORWARD), + (3, 1, FORWARD), + ] + assert x == x_ + + def test_digraph2(self): + G = nx.DiGraph() + nx.add_path(G, range(4)) + x = list(nx.edge_bfs(G, [0])) + x_ = [(0, 1), (1, 2), (2, 3)] + assert x == x_ + + def test_digraph_rev(self): + G = nx.DiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes, orientation="reverse")) + x_ = [ + (1, 0, REVERSE), + (2, 0, REVERSE), + (0, 1, REVERSE), + (2, 1, REVERSE), + (3, 1, REVERSE), + ] + assert x == x_ + + def test_digraph_rev2(self): + G = nx.DiGraph() + nx.add_path(G, range(4)) + x = list(nx.edge_bfs(G, [3], orientation="reverse")) + x_ = [(2, 3, REVERSE), (1, 2, REVERSE), (0, 1, REVERSE)] + assert x == x_ + + def test_multigraph(self): + G = nx.MultiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes)) + x_ = [(0, 1, 0), (0, 1, 1), (0, 1, 2), (0, 2, 0), (1, 2, 0), (1, 3, 0)] + # This is an example of where hash randomization can break. + # There are 3! * 2 alternative outputs, such as: + # [(0, 1, 1), (1, 0, 0), (0, 1, 2), (1, 3, 0), (1, 2, 0)] + # But note, the edges (1,2,0) and (1,3,0) always follow the (0,1,k) + # edges. So the algorithm only guarantees a partial order. A total + # order is guaranteed only if the graph data structures are ordered. + assert x == x_ + + def test_multidigraph(self): + G = nx.MultiDiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes)) + x_ = [(0, 1, 0), (1, 0, 0), (1, 0, 1), (2, 0, 0), (2, 1, 0), (3, 1, 0)] + assert x == x_ + + def test_multidigraph_rev(self): + G = nx.MultiDiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes, orientation="reverse")) + x_ = [ + (1, 0, 0, REVERSE), + (1, 0, 1, REVERSE), + (2, 0, 0, REVERSE), + (0, 1, 0, REVERSE), + (2, 1, 0, REVERSE), + (3, 1, 0, REVERSE), + ] + assert x == x_ + + def test_digraph_ignore(self): + G = nx.DiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes, orientation="ignore")) + x_ = [ + (0, 1, FORWARD), + (1, 0, REVERSE), + (2, 0, REVERSE), + (2, 1, REVERSE), + (3, 1, REVERSE), + ] + assert x == x_ + + def test_digraph_ignore2(self): + G = nx.DiGraph() + nx.add_path(G, range(4)) + x = list(nx.edge_bfs(G, [0], orientation="ignore")) + x_ = [(0, 1, FORWARD), (1, 2, FORWARD), (2, 3, FORWARD)] + assert x == x_ + + def test_multidigraph_ignore(self): + G = nx.MultiDiGraph(self.edges) + x = list(nx.edge_bfs(G, self.nodes, orientation="ignore")) + x_ = [ + (0, 1, 0, FORWARD), + (1, 0, 0, REVERSE), + (1, 0, 1, REVERSE), + (2, 0, 0, REVERSE), + (2, 1, 0, REVERSE), + (3, 1, 0, REVERSE), + ] + assert x == x_ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_edgedfs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_edgedfs.py new file mode 100644 index 0000000000000000000000000000000000000000..7c1967cce04b3a0c9db80f9af39d7b1dfd8ef4cb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/traversal/tests/test_edgedfs.py @@ -0,0 +1,131 @@ +import pytest + +import networkx as nx +from networkx.algorithms import edge_dfs +from networkx.algorithms.traversal.edgedfs import FORWARD, REVERSE + +# These tests can fail with hash randomization. The easiest and clearest way +# to write these unit tests is for the edges to be output in an expected total +# order, but we cannot guarantee the order amongst outgoing edges from a node, +# unless each class uses an ordered data structure for neighbors. This is +# painful to do with the current API. The alternative is that the tests are +# written (IMO confusingly) so that there is not a total order over the edges, +# but only a partial order. Due to the small size of the graphs, hopefully +# failures due to hash randomization will not occur. For an example of how +# this can fail, see TestEdgeDFS.test_multigraph. + + +class TestEdgeDFS: + @classmethod + def setup_class(cls): + cls.nodes = [0, 1, 2, 3] + cls.edges = [(0, 1), (1, 0), (1, 0), (2, 1), (3, 1)] + + def test_empty(self): + G = nx.Graph() + edges = list(edge_dfs(G)) + assert edges == [] + + def test_graph(self): + G = nx.Graph(self.edges) + x = list(edge_dfs(G, self.nodes)) + x_ = [(0, 1), (1, 2), (1, 3)] + assert x == x_ + + def test_digraph(self): + G = nx.DiGraph(self.edges) + x = list(edge_dfs(G, self.nodes)) + x_ = [(0, 1), (1, 0), (2, 1), (3, 1)] + assert x == x_ + + def test_digraph_orientation_invalid(self): + G = nx.DiGraph(self.edges) + edge_iterator = edge_dfs(G, self.nodes, orientation="hello") + pytest.raises(nx.NetworkXError, list, edge_iterator) + + def test_digraph_orientation_none(self): + G = nx.DiGraph(self.edges) + x = list(edge_dfs(G, self.nodes, orientation=None)) + x_ = [(0, 1), (1, 0), (2, 1), (3, 1)] + assert x == x_ + + def test_digraph_orientation_original(self): + G = nx.DiGraph(self.edges) + x = list(edge_dfs(G, self.nodes, orientation="original")) + x_ = [(0, 1, FORWARD), (1, 0, FORWARD), (2, 1, FORWARD), (3, 1, FORWARD)] + assert x == x_ + + def test_digraph2(self): + G = nx.DiGraph() + nx.add_path(G, range(4)) + x = list(edge_dfs(G, [0])) + x_ = [(0, 1), (1, 2), (2, 3)] + assert x == x_ + + def test_digraph_rev(self): + G = nx.DiGraph(self.edges) + x = list(edge_dfs(G, self.nodes, orientation="reverse")) + x_ = [(1, 0, REVERSE), (0, 1, REVERSE), (2, 1, REVERSE), (3, 1, REVERSE)] + assert x == x_ + + def test_digraph_rev2(self): + G = nx.DiGraph() + nx.add_path(G, range(4)) + x = list(edge_dfs(G, [3], orientation="reverse")) + x_ = [(2, 3, REVERSE), (1, 2, REVERSE), (0, 1, REVERSE)] + assert x == x_ + + def test_multigraph(self): + G = nx.MultiGraph(self.edges) + x = list(edge_dfs(G, self.nodes)) + x_ = [(0, 1, 0), (1, 0, 1), (0, 1, 2), (1, 2, 0), (1, 3, 0)] + # This is an example of where hash randomization can break. + # There are 3! * 2 alternative outputs, such as: + # [(0, 1, 1), (1, 0, 0), (0, 1, 2), (1, 3, 0), (1, 2, 0)] + # But note, the edges (1,2,0) and (1,3,0) always follow the (0,1,k) + # edges. So the algorithm only guarantees a partial order. A total + # order is guaranteed only if the graph data structures are ordered. + assert x == x_ + + def test_multidigraph(self): + G = nx.MultiDiGraph(self.edges) + x = list(edge_dfs(G, self.nodes)) + x_ = [(0, 1, 0), (1, 0, 0), (1, 0, 1), (2, 1, 0), (3, 1, 0)] + assert x == x_ + + def test_multidigraph_rev(self): + G = nx.MultiDiGraph(self.edges) + x = list(edge_dfs(G, self.nodes, orientation="reverse")) + x_ = [ + (1, 0, 0, REVERSE), + (0, 1, 0, REVERSE), + (1, 0, 1, REVERSE), + (2, 1, 0, REVERSE), + (3, 1, 0, REVERSE), + ] + assert x == x_ + + def test_digraph_ignore(self): + G = nx.DiGraph(self.edges) + x = list(edge_dfs(G, self.nodes, orientation="ignore")) + x_ = [(0, 1, FORWARD), (1, 0, FORWARD), (2, 1, REVERSE), (3, 1, REVERSE)] + assert x == x_ + + def test_digraph_ignore2(self): + G = nx.DiGraph() + nx.add_path(G, range(4)) + x = list(edge_dfs(G, [0], orientation="ignore")) + x_ = [(0, 1, FORWARD), (1, 2, FORWARD), (2, 3, FORWARD)] + assert x == x_ + + def test_multidigraph_ignore(self): + G = nx.MultiDiGraph(self.edges) + x = list(edge_dfs(G, self.nodes, orientation="ignore")) + x_ = [ + (0, 1, 0, FORWARD), + (1, 0, 0, FORWARD), + (1, 0, 1, REVERSE), + (2, 1, 0, REVERSE), + (3, 1, 0, REVERSE), + ] + assert x == x_ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..7120d4bc7ef25279b68eaa23690b6ff4574ed676 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/__init__.py @@ -0,0 +1,6 @@ +from .branchings import * +from .coding import * +from .mst import * +from .recognition import * +from .operations import * +from .decomposition import * diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/branchings.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/branchings.py new file mode 100644 index 0000000000000000000000000000000000000000..cc9c7cf1189d341577a81501e5ca6760ed73a58c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/branchings.py @@ -0,0 +1,1042 @@ +""" +Algorithms for finding optimum branchings and spanning arborescences. + +This implementation is based on: + + J. Edmonds, Optimum branchings, J. Res. Natl. Bur. Standards 71B (1967), + 233–240. URL: http://archive.org/details/jresv71Bn4p233 + +""" + +# TODO: Implement method from Gabow, Galil, Spence and Tarjan: +# +# @article{ +# year={1986}, +# issn={0209-9683}, +# journal={Combinatorica}, +# volume={6}, +# number={2}, +# doi={10.1007/BF02579168}, +# title={Efficient algorithms for finding minimum spanning trees in +# undirected and directed graphs}, +# url={https://doi.org/10.1007/BF02579168}, +# publisher={Springer-Verlag}, +# keywords={68 B 15; 68 C 05}, +# author={Gabow, Harold N. and Galil, Zvi and Spencer, Thomas and Tarjan, +# Robert E.}, +# pages={109-122}, +# language={English} +# } +import string +from dataclasses import dataclass, field +from operator import itemgetter +from queue import PriorityQueue + +import networkx as nx +from networkx.utils import py_random_state + +from .recognition import is_arborescence, is_branching + +__all__ = [ + "branching_weight", + "greedy_branching", + "maximum_branching", + "minimum_branching", + "minimal_branching", + "maximum_spanning_arborescence", + "minimum_spanning_arborescence", + "ArborescenceIterator", +] + +KINDS = {"max", "min"} + +STYLES = { + "branching": "branching", + "arborescence": "arborescence", + "spanning arborescence": "arborescence", +} + +INF = float("inf") + + +@py_random_state(1) +def random_string(L=15, seed=None): + return "".join([seed.choice(string.ascii_letters) for n in range(L)]) + + +def _min_weight(weight): + return -weight + + +def _max_weight(weight): + return weight + + +@nx._dispatchable(edge_attrs={"attr": "default"}) +def branching_weight(G, attr="weight", default=1): + """ + Returns the total weight of a branching. + + You must access this function through the networkx.algorithms.tree module. + + Parameters + ---------- + G : DiGraph + The directed graph. + attr : str + The attribute to use as weights. If None, then each edge will be + treated equally with a weight of 1. + default : float + When `attr` is not None, then if an edge does not have that attribute, + `default` specifies what value it should take. + + Returns + ------- + weight: int or float + The total weight of the branching. + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_weighted_edges_from([(0, 1, 2), (1, 2, 4), (2, 3, 3), (3, 4, 2)]) + >>> nx.tree.branching_weight(G) + 11 + + """ + return sum(edge[2].get(attr, default) for edge in G.edges(data=True)) + + +@py_random_state(4) +@nx._dispatchable(edge_attrs={"attr": "default"}, returns_graph=True) +def greedy_branching(G, attr="weight", default=1, kind="max", seed=None): + """ + Returns a branching obtained through a greedy algorithm. + + This algorithm is wrong, and cannot give a proper optimal branching. + However, we include it for pedagogical reasons, as it can be helpful to + see what its outputs are. + + The output is a branching, and possibly, a spanning arborescence. However, + it is not guaranteed to be optimal in either case. + + Parameters + ---------- + G : DiGraph + The directed graph to scan. + attr : str + The attribute to use as weights. If None, then each edge will be + treated equally with a weight of 1. + default : float + When `attr` is not None, then if an edge does not have that attribute, + `default` specifies what value it should take. + kind : str + The type of optimum to search for: 'min' or 'max' greedy branching. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + B : directed graph + The greedily obtained branching. + + """ + if kind not in KINDS: + raise nx.NetworkXException("Unknown value for `kind`.") + + if kind == "min": + reverse = False + else: + reverse = True + + if attr is None: + # Generate a random string the graph probably won't have. + attr = random_string(seed=seed) + + edges = [(u, v, data.get(attr, default)) for (u, v, data) in G.edges(data=True)] + + # We sort by weight, but also by nodes to normalize behavior across runs. + try: + edges.sort(key=itemgetter(2, 0, 1), reverse=reverse) + except TypeError: + # This will fail in Python 3.x if the nodes are of varying types. + # In that case, we use the arbitrary order. + edges.sort(key=itemgetter(2), reverse=reverse) + + # The branching begins with a forest of no edges. + B = nx.DiGraph() + B.add_nodes_from(G) + + # Now we add edges greedily so long we maintain the branching. + uf = nx.utils.UnionFind() + for i, (u, v, w) in enumerate(edges): + if uf[u] == uf[v]: + # Adding this edge would form a directed cycle. + continue + elif B.in_degree(v) == 1: + # The edge would increase the degree to be greater than one. + continue + else: + # If attr was None, then don't insert weights... + data = {} + if attr is not None: + data[attr] = w + B.add_edge(u, v, **data) + uf.union(u, v) + + return B + + +@nx._dispatchable(preserve_edge_attrs=True, returns_graph=True) +def maximum_branching( + G, + attr="weight", + default=1, + preserve_attrs=False, + partition=None, +): + ####################################### + ### Data Structure Helper Functions ### + ####################################### + + def edmonds_add_edge(G, edge_index, u, v, key, **d): + """ + Adds an edge to `G` while also updating the edge index. + + This algorithm requires the use of an external dictionary to track + the edge keys since it is possible that the source or destination + node of an edge will be changed and the default key-handling + capabilities of the MultiDiGraph class do not account for this. + + Parameters + ---------- + G : MultiDiGraph + The graph to insert an edge into. + edge_index : dict + A mapping from integers to the edges of the graph. + u : node + The source node of the new edge. + v : node + The destination node of the new edge. + key : int + The key to use from `edge_index`. + d : keyword arguments, optional + Other attributes to store on the new edge. + """ + + if key in edge_index: + uu, vv, _ = edge_index[key] + if (u != uu) or (v != vv): + raise Exception(f"Key {key!r} is already in use.") + + G.add_edge(u, v, key, **d) + edge_index[key] = (u, v, G.succ[u][v][key]) + + def edmonds_remove_node(G, edge_index, n): + """ + Remove a node from the graph, updating the edge index to match. + + Parameters + ---------- + G : MultiDiGraph + The graph to remove an edge from. + edge_index : dict + A mapping from integers to the edges of the graph. + n : node + The node to remove from `G`. + """ + keys = set() + for keydict in G.pred[n].values(): + keys.update(keydict) + for keydict in G.succ[n].values(): + keys.update(keydict) + + for key in keys: + del edge_index[key] + + G.remove_node(n) + + ####################### + ### Algorithm Setup ### + ####################### + + # Pick an attribute name that the original graph is unlikly to have + candidate_attr = "edmonds' secret candidate attribute" + new_node_base_name = "edmonds new node base name " + + G_original = G + G = nx.MultiDiGraph() + G.__networkx_cache__ = None # Disable caching + + # A dict to reliably track mutations to the edges using the key of the edge. + G_edge_index = {} + # Each edge is given an arbitrary numerical key + for key, (u, v, data) in enumerate(G_original.edges(data=True)): + d = {attr: data.get(attr, default)} + + if data.get(partition) is not None: + d[partition] = data.get(partition) + + if preserve_attrs: + for d_k, d_v in data.items(): + if d_k != attr: + d[d_k] = d_v + + edmonds_add_edge(G, G_edge_index, u, v, key, **d) + + level = 0 # Stores the number of contracted nodes + + # These are the buckets from the paper. + # + # In the paper, G^i are modified versions of the original graph. + # D^i and E^i are the nodes and edges of the maximal edges that are + # consistent with G^i. In this implementation, D^i and E^i are stored + # together as the graph B^i. We will have strictly more B^i then the + # paper will have. + # + # Note that the data in graphs and branchings are tuples with the graph as + # the first element and the edge index as the second. + B = nx.MultiDiGraph() + B_edge_index = {} + graphs = [] # G^i list + branchings = [] # B^i list + selected_nodes = set() # D^i bucket + uf = nx.utils.UnionFind() + + # A list of lists of edge indices. Each list is a circuit for graph G^i. + # Note the edge list is not required to be a circuit in G^0. + circuits = [] + + # Stores the index of the minimum edge in the circuit found in G^i and B^i. + # The ordering of the edges seems to preserver the weight ordering from + # G^0. So even if the circuit does not form a circuit in G^0, it is still + # true that the minimum edges in circuit G^0 (despite their weights being + # different) + minedge_circuit = [] + + ########################### + ### Algorithm Structure ### + ########################### + + # Each step listed in the algorithm is an inner function. Thus, the overall + # loop structure is: + # + # while True: + # step_I1() + # if cycle detected: + # step_I2() + # elif every node of G is in D and E is a branching: + # break + + ################################## + ### Algorithm Helper Functions ### + ################################## + + def edmonds_find_desired_edge(v): + """ + Find the edge directed towards v with maximal weight. + + If an edge partition exists in this graph, return the included + edge if it exists and never return any excluded edge. + + Note: There can only be one included edge for each vertex otherwise + the edge partition is empty. + + Parameters + ---------- + v : node + The node to search for the maximal weight incoming edge. + """ + edge = None + max_weight = -INF + for u, _, key, data in G.in_edges(v, data=True, keys=True): + # Skip excluded edges + if data.get(partition) == nx.EdgePartition.EXCLUDED: + continue + + new_weight = data[attr] + + # Return the included edge + if data.get(partition) == nx.EdgePartition.INCLUDED: + max_weight = new_weight + edge = (u, v, key, new_weight, data) + break + + # Find the best open edge + if new_weight > max_weight: + max_weight = new_weight + edge = (u, v, key, new_weight, data) + + return edge, max_weight + + def edmonds_step_I2(v, desired_edge, level): + """ + Perform step I2 from Edmonds' paper + + First, check if the last step I1 created a cycle. If it did not, do nothing. + If it did, store the cycle for later reference and contract it. + + Parameters + ---------- + v : node + The current node to consider + desired_edge : edge + The minimum desired edge to remove from the cycle. + level : int + The current level, i.e. the number of cycles that have already been removed. + """ + u = desired_edge[0] + + Q_nodes = nx.shortest_path(B, v, u) + Q_edges = [ + list(B[Q_nodes[i]][vv].keys())[0] for i, vv in enumerate(Q_nodes[1:]) + ] + Q_edges.append(desired_edge[2]) # Add the new edge key to complete the circuit + + # Get the edge in the circuit with the minimum weight. + # Also, save the incoming weights for each node. + minweight = INF + minedge = None + Q_incoming_weight = {} + for edge_key in Q_edges: + u, v, data = B_edge_index[edge_key] + w = data[attr] + # We cannot remove an included edge, even if it is the + # minimum edge in the circuit + Q_incoming_weight[v] = w + if data.get(partition) == nx.EdgePartition.INCLUDED: + continue + if w < minweight: + minweight = w + minedge = edge_key + + circuits.append(Q_edges) + minedge_circuit.append(minedge) + graphs.append((G.copy(), G_edge_index.copy())) + branchings.append((B.copy(), B_edge_index.copy())) + + # Mutate the graph to contract the circuit + new_node = new_node_base_name + str(level) + G.add_node(new_node) + new_edges = [] + for u, v, key, data in G.edges(data=True, keys=True): + if u in Q_incoming_weight: + if v in Q_incoming_weight: + # Circuit edge. For the moment do nothing, + # eventually it will be removed. + continue + else: + # Outgoing edge from a node in the circuit. + # Make it come from the new node instead + dd = data.copy() + new_edges.append((new_node, v, key, dd)) + else: + if v in Q_incoming_weight: + # Incoming edge to the circuit. + # Update it's weight + w = data[attr] + w += minweight - Q_incoming_weight[v] + dd = data.copy() + dd[attr] = w + new_edges.append((u, new_node, key, dd)) + else: + # Outside edge. No modification needed + continue + + for node in Q_nodes: + edmonds_remove_node(G, G_edge_index, node) + edmonds_remove_node(B, B_edge_index, node) + + selected_nodes.difference_update(set(Q_nodes)) + + for u, v, key, data in new_edges: + edmonds_add_edge(G, G_edge_index, u, v, key, **data) + if candidate_attr in data: + del data[candidate_attr] + edmonds_add_edge(B, B_edge_index, u, v, key, **data) + uf.union(u, v) + + def is_root(G, u, edgekeys): + """ + Returns True if `u` is a root node in G. + + Node `u` is a root node if its in-degree over the specified edges is zero. + + Parameters + ---------- + G : Graph + The current graph. + u : node + The node in `G` to check if it is a root. + edgekeys : iterable of edges + The edges for which to check if `u` is a root of. + """ + if u not in G: + raise Exception(f"{u!r} not in G") + + for v in G.pred[u]: + for edgekey in G.pred[u][v]: + if edgekey in edgekeys: + return False, edgekey + else: + return True, None + + nodes = iter(list(G.nodes)) + while True: + try: + v = next(nodes) + except StopIteration: + # If there are no more new nodes to consider, then we should + # meet stopping condition (b) from the paper: + # (b) every node of G^i is in D^i and E^i is a branching + assert len(G) == len(B) + if len(B): + assert is_branching(B) + + graphs.append((G.copy(), G_edge_index.copy())) + branchings.append((B.copy(), B_edge_index.copy())) + circuits.append([]) + minedge_circuit.append(None) + + break + else: + ##################### + ### BEGIN STEP I1 ### + ##################### + + # This is a very simple step, so I don't think it needs a method of it's own + if v in selected_nodes: + continue + + selected_nodes.add(v) + B.add_node(v) + desired_edge, desired_edge_weight = edmonds_find_desired_edge(v) + + # There might be no desired edge if all edges are excluded or + # v is the last node to be added to B, the ultimate root of the branching + if desired_edge is not None and desired_edge_weight > 0: + u = desired_edge[0] + # Flag adding the edge will create a circuit before merging the two + # connected components of u and v in B + circuit = uf[u] == uf[v] + dd = {attr: desired_edge_weight} + if desired_edge[4].get(partition) is not None: + dd[partition] = desired_edge[4].get(partition) + + edmonds_add_edge(B, B_edge_index, u, v, desired_edge[2], **dd) + G[u][v][desired_edge[2]][candidate_attr] = True + uf.union(u, v) + + ################### + ### END STEP I1 ### + ################### + + ##################### + ### BEGIN STEP I2 ### + ##################### + + if circuit: + edmonds_step_I2(v, desired_edge, level) + nodes = iter(list(G.nodes())) + level += 1 + + ################### + ### END STEP I2 ### + ################### + + ##################### + ### BEGIN STEP I3 ### + ##################### + + # Create a new graph of the same class as the input graph + H = G_original.__class__() + + # Start with the branching edges in the last level. + edges = set(branchings[level][1]) + while level > 0: + level -= 1 + + # The current level is i, and we start counting from 0. + # + # We need the node at level i+1 that results from merging a circuit + # at level i. basename_0 is the first merged node and this happens + # at level 1. That is basename_0 is a node at level 1 that results + # from merging a circuit at level 0. + + merged_node = new_node_base_name + str(level) + circuit = circuits[level] + isroot, edgekey = is_root(graphs[level + 1][0], merged_node, edges) + edges.update(circuit) + + if isroot: + minedge = minedge_circuit[level] + if minedge is None: + raise Exception + + # Remove the edge in the cycle with minimum weight + edges.remove(minedge) + else: + # We have identified an edge at the next higher level that + # transitions into the merged node at this level. That edge + # transitions to some corresponding node at the current level. + # + # We want to remove an edge from the cycle that transitions + # into the corresponding node, otherwise the result would not + # be a branching. + + G, G_edge_index = graphs[level] + target = G_edge_index[edgekey][1] + for edgekey in circuit: + u, v, data = G_edge_index[edgekey] + if v == target: + break + else: + raise Exception("Couldn't find edge incoming to merged node.") + + edges.remove(edgekey) + + H.add_nodes_from(G_original) + for edgekey in edges: + u, v, d = graphs[0][1][edgekey] + dd = {attr: d[attr]} + + if preserve_attrs: + for key, value in d.items(): + if key not in [attr, candidate_attr]: + dd[key] = value + + H.add_edge(u, v, **dd) + + ################### + ### END STEP I3 ### + ################### + + return H + + +@nx._dispatchable(preserve_edge_attrs=True, mutates_input=True, returns_graph=True) +def minimum_branching( + G, attr="weight", default=1, preserve_attrs=False, partition=None +): + for _, _, d in G.edges(data=True): + d[attr] = -d.get(attr, default) + nx._clear_cache(G) + + B = maximum_branching(G, attr, default, preserve_attrs, partition) + + for _, _, d in G.edges(data=True): + d[attr] = -d.get(attr, default) + nx._clear_cache(G) + + for _, _, d in B.edges(data=True): + d[attr] = -d.get(attr, default) + nx._clear_cache(B) + + return B + + +@nx._dispatchable(preserve_edge_attrs=True, mutates_input=True, returns_graph=True) +def minimal_branching( + G, /, *, attr="weight", default=1, preserve_attrs=False, partition=None +): + """ + Returns a minimal branching from `G`. + + A minimal branching is a branching similar to a minimal arborescence but + without the requirement that the result is actually a spanning arborescence. + This allows minimal branchinges to be computed over graphs which may not + have arborescence (such as multiple components). + + Parameters + ---------- + G : (multi)digraph-like + The graph to be searched. + attr : str + The edge attribute used in determining optimality. + default : float + The value of the edge attribute used if an edge does not have + the attribute `attr`. + preserve_attrs : bool + If True, preserve the other attributes of the original graph (that are not + passed to `attr`) + partition : str + The key for the edge attribute containing the partition + data on the graph. Edges can be included, excluded or open using the + `EdgePartition` enum. + + Returns + ------- + B : (multi)digraph-like + A minimal branching. + """ + max_weight = -INF + min_weight = INF + for _, _, w in G.edges(data=attr, default=default): + if w > max_weight: + max_weight = w + if w < min_weight: + min_weight = w + + for _, _, d in G.edges(data=True): + # Transform the weights so that the minimum weight is larger than + # the difference between the max and min weights. This is important + # in order to prevent the edge weights from becoming negative during + # computation + d[attr] = max_weight + 1 + (max_weight - min_weight) - d.get(attr, default) + nx._clear_cache(G) + + B = maximum_branching(G, attr, default, preserve_attrs, partition) + + # Reverse the weight transformations + for _, _, d in G.edges(data=True): + d[attr] = max_weight + 1 + (max_weight - min_weight) - d.get(attr, default) + nx._clear_cache(G) + + for _, _, d in B.edges(data=True): + d[attr] = max_weight + 1 + (max_weight - min_weight) - d.get(attr, default) + nx._clear_cache(B) + + return B + + +@nx._dispatchable(preserve_edge_attrs=True, mutates_input=True, returns_graph=True) +def maximum_spanning_arborescence( + G, attr="weight", default=1, preserve_attrs=False, partition=None +): + # In order to use the same algorithm is the maximum branching, we need to adjust + # the weights of the graph. The branching algorithm can choose to not include an + # edge if it doesn't help find a branching, mainly triggered by edges with negative + # weights. + # + # To prevent this from happening while trying to find a spanning arborescence, we + # just have to tweak the edge weights so that they are all positive and cannot + # become negative during the branching algorithm, find the maximum branching and + # then return them to their original values. + + min_weight = INF + max_weight = -INF + for _, _, w in G.edges(data=attr, default=default): + if w < min_weight: + min_weight = w + if w > max_weight: + max_weight = w + + for _, _, d in G.edges(data=True): + d[attr] = d.get(attr, default) - min_weight + 1 - (min_weight - max_weight) + nx._clear_cache(G) + + B = maximum_branching(G, attr, default, preserve_attrs, partition) + + for _, _, d in G.edges(data=True): + d[attr] = d.get(attr, default) + min_weight - 1 + (min_weight - max_weight) + nx._clear_cache(G) + + for _, _, d in B.edges(data=True): + d[attr] = d.get(attr, default) + min_weight - 1 + (min_weight - max_weight) + nx._clear_cache(B) + + if not is_arborescence(B): + raise nx.exception.NetworkXException("No maximum spanning arborescence in G.") + + return B + + +@nx._dispatchable(preserve_edge_attrs=True, mutates_input=True, returns_graph=True) +def minimum_spanning_arborescence( + G, attr="weight", default=1, preserve_attrs=False, partition=None +): + B = minimal_branching( + G, + attr=attr, + default=default, + preserve_attrs=preserve_attrs, + partition=partition, + ) + + if not is_arborescence(B): + raise nx.exception.NetworkXException("No minimum spanning arborescence in G.") + + return B + + +docstring_branching = """ +Returns a {kind} {style} from G. + +Parameters +---------- +G : (multi)digraph-like + The graph to be searched. +attr : str + The edge attribute used to in determining optimality. +default : float + The value of the edge attribute used if an edge does not have + the attribute `attr`. +preserve_attrs : bool + If True, preserve the other attributes of the original graph (that are not + passed to `attr`) +partition : str + The key for the edge attribute containing the partition + data on the graph. Edges can be included, excluded or open using the + `EdgePartition` enum. + +Returns +------- +B : (multi)digraph-like + A {kind} {style}. +""" + +docstring_arborescence = ( + docstring_branching + + """ +Raises +------ +NetworkXException + If the graph does not contain a {kind} {style}. + +""" +) + +maximum_branching.__doc__ = docstring_branching.format( + kind="maximum", style="branching" +) + +minimum_branching.__doc__ = ( + docstring_branching.format(kind="minimum", style="branching") + + """ +See Also +-------- + minimal_branching +""" +) + +maximum_spanning_arborescence.__doc__ = docstring_arborescence.format( + kind="maximum", style="spanning arborescence" +) + +minimum_spanning_arborescence.__doc__ = docstring_arborescence.format( + kind="minimum", style="spanning arborescence" +) + + +class ArborescenceIterator: + """ + Iterate over all spanning arborescences of a graph in either increasing or + decreasing cost. + + Notes + ----- + This iterator uses the partition scheme from [1]_ (included edges, + excluded edges and open edges). It generates minimum spanning + arborescences using a modified Edmonds' Algorithm which respects the + partition of edges. For arborescences with the same weight, ties are + broken arbitrarily. + + References + ---------- + .. [1] G.K. Janssens, K. Sörensen, An algorithm to generate all spanning + trees in order of increasing cost, Pesquisa Operacional, 2005-08, + Vol. 25 (2), p. 219-229, + https://www.scielo.br/j/pope/a/XHswBwRwJyrfL88dmMwYNWp/?lang=en + """ + + @dataclass(order=True) + class Partition: + """ + This dataclass represents a partition and stores a dict with the edge + data and the weight of the minimum spanning arborescence of the + partition dict. + """ + + mst_weight: float + partition_dict: dict = field(compare=False) + + def __copy__(self): + return ArborescenceIterator.Partition( + self.mst_weight, self.partition_dict.copy() + ) + + def __init__(self, G, weight="weight", minimum=True, init_partition=None): + """ + Initialize the iterator + + Parameters + ---------- + G : nx.DiGraph + The directed graph which we need to iterate trees over + + weight : String, default = "weight" + The edge attribute used to store the weight of the edge + + minimum : bool, default = True + Return the trees in increasing order while true and decreasing order + while false. + + init_partition : tuple, default = None + In the case that certain edges have to be included or excluded from + the arborescences, `init_partition` should be in the form + `(included_edges, excluded_edges)` where each edges is a + `(u, v)`-tuple inside an iterable such as a list or set. + + """ + self.G = G.copy() + self.weight = weight + self.minimum = minimum + self.method = ( + minimum_spanning_arborescence if minimum else maximum_spanning_arborescence + ) + # Randomly create a key for an edge attribute to hold the partition data + self.partition_key = ( + "ArborescenceIterators super secret partition attribute name" + ) + if init_partition is not None: + partition_dict = {} + for e in init_partition[0]: + partition_dict[e] = nx.EdgePartition.INCLUDED + for e in init_partition[1]: + partition_dict[e] = nx.EdgePartition.EXCLUDED + self.init_partition = ArborescenceIterator.Partition(0, partition_dict) + else: + self.init_partition = None + + def __iter__(self): + """ + Returns + ------- + ArborescenceIterator + The iterator object for this graph + """ + self.partition_queue = PriorityQueue() + self._clear_partition(self.G) + + # Write the initial partition if it exists. + if self.init_partition is not None: + self._write_partition(self.init_partition) + + mst_weight = self.method( + self.G, + self.weight, + partition=self.partition_key, + preserve_attrs=True, + ).size(weight=self.weight) + + self.partition_queue.put( + self.Partition( + mst_weight if self.minimum else -mst_weight, + ( + {} + if self.init_partition is None + else self.init_partition.partition_dict + ), + ) + ) + + return self + + def __next__(self): + """ + Returns + ------- + (multi)Graph + The spanning tree of next greatest weight, which ties broken + arbitrarily. + """ + if self.partition_queue.empty(): + del self.G, self.partition_queue + raise StopIteration + + partition = self.partition_queue.get() + self._write_partition(partition) + next_arborescence = self.method( + self.G, + self.weight, + partition=self.partition_key, + preserve_attrs=True, + ) + self._partition(partition, next_arborescence) + + self._clear_partition(next_arborescence) + return next_arborescence + + def _partition(self, partition, partition_arborescence): + """ + Create new partitions based of the minimum spanning tree of the + current minimum partition. + + Parameters + ---------- + partition : Partition + The Partition instance used to generate the current minimum spanning + tree. + partition_arborescence : nx.Graph + The minimum spanning arborescence of the input partition. + """ + # create two new partitions with the data from the input partition dict + p1 = self.Partition(0, partition.partition_dict.copy()) + p2 = self.Partition(0, partition.partition_dict.copy()) + for e in partition_arborescence.edges: + # determine if the edge was open or included + if e not in partition.partition_dict: + # This is an open edge + p1.partition_dict[e] = nx.EdgePartition.EXCLUDED + p2.partition_dict[e] = nx.EdgePartition.INCLUDED + + self._write_partition(p1) + try: + p1_mst = self.method( + self.G, + self.weight, + partition=self.partition_key, + preserve_attrs=True, + ) + + p1_mst_weight = p1_mst.size(weight=self.weight) + p1.mst_weight = p1_mst_weight if self.minimum else -p1_mst_weight + self.partition_queue.put(p1.__copy__()) + except nx.NetworkXException: + pass + + p1.partition_dict = p2.partition_dict.copy() + + def _write_partition(self, partition): + """ + Writes the desired partition into the graph to calculate the minimum + spanning tree. Also, if one incoming edge is included, mark all others + as excluded so that if that vertex is merged during Edmonds' algorithm + we cannot still pick another of that vertex's included edges. + + Parameters + ---------- + partition : Partition + A Partition dataclass describing a partition on the edges of the + graph. + """ + for u, v, d in self.G.edges(data=True): + if (u, v) in partition.partition_dict: + d[self.partition_key] = partition.partition_dict[(u, v)] + else: + d[self.partition_key] = nx.EdgePartition.OPEN + nx._clear_cache(self.G) + + for n in self.G: + included_count = 0 + excluded_count = 0 + for u, v, d in self.G.in_edges(nbunch=n, data=True): + if d.get(self.partition_key) == nx.EdgePartition.INCLUDED: + included_count += 1 + elif d.get(self.partition_key) == nx.EdgePartition.EXCLUDED: + excluded_count += 1 + # Check that if there is an included edges, all other incoming ones + # are excluded. If not fix it! + if included_count == 1 and excluded_count != self.G.in_degree(n) - 1: + for u, v, d in self.G.in_edges(nbunch=n, data=True): + if d.get(self.partition_key) != nx.EdgePartition.INCLUDED: + d[self.partition_key] = nx.EdgePartition.EXCLUDED + + def _clear_partition(self, G): + """ + Removes partition data from the graph + """ + for u, v, d in G.edges(data=True): + if self.partition_key in d: + del d[self.partition_key] + nx._clear_cache(self.G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/coding.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/coding.py new file mode 100644 index 0000000000000000000000000000000000000000..f33089f76554bdb32651ddd145dc36835e260d3c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/coding.py @@ -0,0 +1,413 @@ +"""Functions for encoding and decoding trees. + +Since a tree is a highly restricted form of graph, it can be represented +concisely in several ways. This module includes functions for encoding +and decoding trees in the form of nested tuples and Prüfer +sequences. The former requires a rooted tree, whereas the latter can be +applied to unrooted trees. Furthermore, there is a bijection from Prüfer +sequences to labeled trees. + +""" + +from collections import Counter +from itertools import chain + +import networkx as nx +from networkx.utils import not_implemented_for + +__all__ = [ + "from_nested_tuple", + "from_prufer_sequence", + "NotATree", + "to_nested_tuple", + "to_prufer_sequence", +] + + +class NotATree(nx.NetworkXException): + """Raised when a function expects a tree (that is, a connected + undirected graph with no cycles) but gets a non-tree graph as input + instead. + + """ + + +@not_implemented_for("directed") +@nx._dispatchable(graphs="T") +def to_nested_tuple(T, root, canonical_form=False): + """Returns a nested tuple representation of the given tree. + + The nested tuple representation of a tree is defined + recursively. The tree with one node and no edges is represented by + the empty tuple, ``()``. A tree with ``k`` subtrees is represented + by a tuple of length ``k`` in which each element is the nested tuple + representation of a subtree. + + Parameters + ---------- + T : NetworkX graph + An undirected graph object representing a tree. + + root : node + The node in ``T`` to interpret as the root of the tree. + + canonical_form : bool + If ``True``, each tuple is sorted so that the function returns + a canonical form for rooted trees. This means "lighter" subtrees + will appear as nested tuples before "heavier" subtrees. In this + way, each isomorphic rooted tree has the same nested tuple + representation. + + Returns + ------- + tuple + A nested tuple representation of the tree. + + Notes + ----- + This function is *not* the inverse of :func:`from_nested_tuple`; the + only guarantee is that the rooted trees are isomorphic. + + See also + -------- + from_nested_tuple + to_prufer_sequence + + Examples + -------- + The tree need not be a balanced binary tree:: + + >>> T = nx.Graph() + >>> T.add_edges_from([(0, 1), (0, 2), (0, 3)]) + >>> T.add_edges_from([(1, 4), (1, 5)]) + >>> T.add_edges_from([(3, 6), (3, 7)]) + >>> root = 0 + >>> nx.to_nested_tuple(T, root) + (((), ()), (), ((), ())) + + Continuing the above example, if ``canonical_form`` is ``True``, the + nested tuples will be sorted:: + + >>> nx.to_nested_tuple(T, root, canonical_form=True) + ((), ((), ()), ((), ())) + + Even the path graph can be interpreted as a tree:: + + >>> T = nx.path_graph(4) + >>> root = 0 + >>> nx.to_nested_tuple(T, root) + ((((),),),) + + """ + + def _make_tuple(T, root, _parent): + """Recursively compute the nested tuple representation of the + given rooted tree. + + ``_parent`` is the parent node of ``root`` in the supertree in + which ``T`` is a subtree, or ``None`` if ``root`` is the root of + the supertree. This argument is used to determine which + neighbors of ``root`` are children and which is the parent. + + """ + # Get the neighbors of `root` that are not the parent node. We + # are guaranteed that `root` is always in `T` by construction. + children = set(T[root]) - {_parent} + if len(children) == 0: + return () + nested = (_make_tuple(T, v, root) for v in children) + if canonical_form: + nested = sorted(nested) + return tuple(nested) + + # Do some sanity checks on the input. + if not nx.is_tree(T): + raise nx.NotATree("provided graph is not a tree") + if root not in T: + raise nx.NodeNotFound(f"Graph {T} contains no node {root}") + + return _make_tuple(T, root, None) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def from_nested_tuple(sequence, sensible_relabeling=False): + """Returns the rooted tree corresponding to the given nested tuple. + + The nested tuple representation of a tree is defined + recursively. The tree with one node and no edges is represented by + the empty tuple, ``()``. A tree with ``k`` subtrees is represented + by a tuple of length ``k`` in which each element is the nested tuple + representation of a subtree. + + Parameters + ---------- + sequence : tuple + A nested tuple representing a rooted tree. + + sensible_relabeling : bool + Whether to relabel the nodes of the tree so that nodes are + labeled in increasing order according to their breadth-first + search order from the root node. + + Returns + ------- + NetworkX graph + The tree corresponding to the given nested tuple, whose root + node is node 0. If ``sensible_labeling`` is ``True``, nodes will + be labeled in breadth-first search order starting from the root + node. + + Notes + ----- + This function is *not* the inverse of :func:`to_nested_tuple`; the + only guarantee is that the rooted trees are isomorphic. + + See also + -------- + to_nested_tuple + from_prufer_sequence + + Examples + -------- + Sensible relabeling ensures that the nodes are labeled from the root + starting at 0:: + + >>> balanced = (((), ()), ((), ())) + >>> T = nx.from_nested_tuple(balanced, sensible_relabeling=True) + >>> edges = [(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)] + >>> all((u, v) in T.edges() or (v, u) in T.edges() for (u, v) in edges) + True + + """ + + def _make_tree(sequence): + """Recursively creates a tree from the given sequence of nested + tuples. + + This function employs the :func:`~networkx.tree.join` function + to recursively join subtrees into a larger tree. + + """ + # The empty sequence represents the empty tree, which is the + # (unique) graph with a single node. We mark the single node + # with an attribute that indicates that it is the root of the + # graph. + if len(sequence) == 0: + return nx.empty_graph(1) + # For a nonempty sequence, get the subtrees for each child + # sequence and join all the subtrees at their roots. After + # joining the subtrees, the root is node 0. + return nx.tree.join_trees([(_make_tree(child), 0) for child in sequence]) + + # Make the tree and remove the `is_root` node attribute added by the + # helper function. + T = _make_tree(sequence) + if sensible_relabeling: + # Relabel the nodes according to their breadth-first search + # order, starting from the root node (that is, the node 0). + bfs_nodes = chain([0], (v for u, v in nx.bfs_edges(T, 0))) + labels = {v: i for i, v in enumerate(bfs_nodes)} + # We would like to use `copy=False`, but `relabel_nodes` doesn't + # allow a relabel mapping that can't be topologically sorted. + T = nx.relabel_nodes(T, labels) + return T + + +@not_implemented_for("directed") +@nx._dispatchable(graphs="T") +def to_prufer_sequence(T): + r"""Returns the Prüfer sequence of the given tree. + + A *Prüfer sequence* is a list of *n* - 2 numbers between 0 and + *n* - 1, inclusive. The tree corresponding to a given Prüfer + sequence can be recovered by repeatedly joining a node in the + sequence with a node with the smallest potential degree according to + the sequence. + + Parameters + ---------- + T : NetworkX graph + An undirected graph object representing a tree. + + Returns + ------- + list + The Prüfer sequence of the given tree. + + Raises + ------ + NetworkXPointlessConcept + If the number of nodes in `T` is less than two. + + NotATree + If `T` is not a tree. + + KeyError + If the set of nodes in `T` is not {0, …, *n* - 1}. + + Notes + ----- + There is a bijection from labeled trees to Prüfer sequences. This + function is the inverse of the :func:`from_prufer_sequence` + function. + + Sometimes Prüfer sequences use nodes labeled from 1 to *n* instead + of from 0 to *n* - 1. This function requires nodes to be labeled in + the latter form. You can use :func:`~networkx.relabel_nodes` to + relabel the nodes of your tree to the appropriate format. + + This implementation is from [1]_ and has a running time of + $O(n)$. + + See also + -------- + to_nested_tuple + from_prufer_sequence + + References + ---------- + .. [1] Wang, Xiaodong, Lei Wang, and Yingjie Wu. + "An optimal algorithm for Prufer codes." + *Journal of Software Engineering and Applications* 2.02 (2009): 111. + + + Examples + -------- + There is a bijection between Prüfer sequences and labeled trees, so + this function is the inverse of the :func:`from_prufer_sequence` + function: + + >>> edges = [(0, 3), (1, 3), (2, 3), (3, 4), (4, 5)] + >>> tree = nx.Graph(edges) + >>> sequence = nx.to_prufer_sequence(tree) + >>> sequence + [3, 3, 3, 4] + >>> tree2 = nx.from_prufer_sequence(sequence) + >>> list(tree2.edges()) == edges + True + + """ + # Perform some sanity checks on the input. + n = len(T) + if n < 2: + msg = "Prüfer sequence undefined for trees with fewer than two nodes" + raise nx.NetworkXPointlessConcept(msg) + if not nx.is_tree(T): + raise nx.NotATree("provided graph is not a tree") + if set(T) != set(range(n)): + raise KeyError("tree must have node labels {0, ..., n - 1}") + + degree = dict(T.degree()) + + def parents(u): + return next(v for v in T[u] if degree[v] > 1) + + index = u = next(k for k in range(n) if degree[k] == 1) + result = [] + for i in range(n - 2): + v = parents(u) + result.append(v) + degree[v] -= 1 + if v < index and degree[v] == 1: + u = v + else: + index = u = next(k for k in range(index + 1, n) if degree[k] == 1) + return result + + +@nx._dispatchable(graphs=None, returns_graph=True) +def from_prufer_sequence(sequence): + r"""Returns the tree corresponding to the given Prüfer sequence. + + A *Prüfer sequence* is a list of *n* - 2 numbers between 0 and + *n* - 1, inclusive. The tree corresponding to a given Prüfer + sequence can be recovered by repeatedly joining a node in the + sequence with a node with the smallest potential degree according to + the sequence. + + Parameters + ---------- + sequence : list + A Prüfer sequence, which is a list of *n* - 2 integers between + zero and *n* - 1, inclusive. + + Returns + ------- + NetworkX graph + The tree corresponding to the given Prüfer sequence. + + Raises + ------ + NetworkXError + If the Prüfer sequence is not valid. + + Notes + ----- + There is a bijection from labeled trees to Prüfer sequences. This + function is the inverse of the :func:`from_prufer_sequence` function. + + Sometimes Prüfer sequences use nodes labeled from 1 to *n* instead + of from 0 to *n* - 1. This function requires nodes to be labeled in + the latter form. You can use :func:`networkx.relabel_nodes` to + relabel the nodes of your tree to the appropriate format. + + This implementation is from [1]_ and has a running time of + $O(n)$. + + References + ---------- + .. [1] Wang, Xiaodong, Lei Wang, and Yingjie Wu. + "An optimal algorithm for Prufer codes." + *Journal of Software Engineering and Applications* 2.02 (2009): 111. + + + See also + -------- + from_nested_tuple + to_prufer_sequence + + Examples + -------- + There is a bijection between Prüfer sequences and labeled trees, so + this function is the inverse of the :func:`to_prufer_sequence` + function: + + >>> edges = [(0, 3), (1, 3), (2, 3), (3, 4), (4, 5)] + >>> tree = nx.Graph(edges) + >>> sequence = nx.to_prufer_sequence(tree) + >>> sequence + [3, 3, 3, 4] + >>> tree2 = nx.from_prufer_sequence(sequence) + >>> list(tree2.edges()) == edges + True + + """ + n = len(sequence) + 2 + # `degree` stores the remaining degree (plus one) for each node. The + # degree of a node in the decoded tree is one more than the number + # of times it appears in the code. + degree = Counter(chain(sequence, range(n))) + T = nx.empty_graph(n) + # `not_orphaned` is the set of nodes that have a parent in the + # tree. After the loop, there should be exactly two nodes that are + # not in this set. + not_orphaned = set() + index = u = next(k for k in range(n) if degree[k] == 1) + for v in sequence: + # check the validity of the prufer sequence + if v < 0 or v > n - 1: + raise nx.NetworkXError( + f"Invalid Prufer sequence: Values must be between 0 and {n-1}, got {v}" + ) + T.add_edge(u, v) + not_orphaned.add(u) + degree[v] -= 1 + if v < index and degree[v] == 1: + u = v + else: + index = u = next(k for k in range(index + 1, n) if degree[k] == 1) + # At this point, there must be exactly two orphaned nodes; join them. + orphans = set(T) - not_orphaned + u, v = orphans + T.add_edge(u, v) + return T diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/decomposition.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/decomposition.py new file mode 100644 index 0000000000000000000000000000000000000000..c8b8f2477b47581cd6010aba7e3329f5044e0da4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/decomposition.py @@ -0,0 +1,88 @@ +r"""Function for computing a junction tree of a graph.""" + +from itertools import combinations + +import networkx as nx +from networkx.algorithms import chordal_graph_cliques, complete_to_chordal_graph, moral +from networkx.utils import not_implemented_for + +__all__ = ["junction_tree"] + + +@not_implemented_for("multigraph") +@nx._dispatchable(returns_graph=True) +def junction_tree(G): + r"""Returns a junction tree of a given graph. + + A junction tree (or clique tree) is constructed from a (un)directed graph G. + The tree is constructed based on a moralized and triangulated version of G. + The tree's nodes consist of maximal cliques and sepsets of the revised graph. + The sepset of two cliques is the intersection of the nodes of these cliques, + e.g. the sepset of (A,B,C) and (A,C,E,F) is (A,C). These nodes are often called + "variables" in this literature. The tree is bipartite with each sepset + connected to its two cliques. + + Junction Trees are not unique as the order of clique consideration determines + which sepsets are included. + + The junction tree algorithm consists of five steps [1]_: + + 1. Moralize the graph + 2. Triangulate the graph + 3. Find maximal cliques + 4. Build the tree from cliques, connecting cliques with shared + nodes, set edge-weight to number of shared variables + 5. Find maximum spanning tree + + + Parameters + ---------- + G : networkx.Graph + Directed or undirected graph. + + Returns + ------- + junction_tree : networkx.Graph + The corresponding junction tree of `G`. + + Raises + ------ + NetworkXNotImplemented + Raised if `G` is an instance of `MultiGraph` or `MultiDiGraph`. + + References + ---------- + .. [1] Junction tree algorithm: + https://en.wikipedia.org/wiki/Junction_tree_algorithm + + .. [2] Finn V. Jensen and Frank Jensen. 1994. Optimal + junction trees. In Proceedings of the Tenth international + conference on Uncertainty in artificial intelligence (UAI’94). + Morgan Kaufmann Publishers Inc., San Francisco, CA, USA, 360–366. + """ + + clique_graph = nx.Graph() + + if G.is_directed(): + G = moral.moral_graph(G) + chordal_graph, _ = complete_to_chordal_graph(G) + + cliques = [tuple(sorted(i)) for i in chordal_graph_cliques(chordal_graph)] + clique_graph.add_nodes_from(cliques, type="clique") + + for edge in combinations(cliques, 2): + set_edge_0 = set(edge[0]) + set_edge_1 = set(edge[1]) + if not set_edge_0.isdisjoint(set_edge_1): + sepset = tuple(sorted(set_edge_0.intersection(set_edge_1))) + clique_graph.add_edge(edge[0], edge[1], weight=len(sepset), sepset=sepset) + + junction_tree = nx.maximum_spanning_tree(clique_graph) + + for edge in list(junction_tree.edges(data=True)): + junction_tree.add_node(edge[2]["sepset"], type="sepset") + junction_tree.add_edge(edge[0], edge[2]["sepset"]) + junction_tree.add_edge(edge[1], edge[2]["sepset"]) + junction_tree.remove_edge(edge[0], edge[1]) + + return junction_tree diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/mst.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/mst.py new file mode 100644 index 0000000000000000000000000000000000000000..554613b8f36dae63eb1ce7f4a03a646fd2dc81c4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/mst.py @@ -0,0 +1,1284 @@ +""" +Algorithms for calculating min/max spanning trees/forests. + +""" + +from dataclasses import dataclass, field +from enum import Enum +from heapq import heappop, heappush +from itertools import count +from math import isnan +from operator import itemgetter +from queue import PriorityQueue + +import networkx as nx +from networkx.utils import UnionFind, not_implemented_for, py_random_state + +__all__ = [ + "minimum_spanning_edges", + "maximum_spanning_edges", + "minimum_spanning_tree", + "maximum_spanning_tree", + "number_of_spanning_trees", + "random_spanning_tree", + "partition_spanning_tree", + "EdgePartition", + "SpanningTreeIterator", +] + + +class EdgePartition(Enum): + """ + An enum to store the state of an edge partition. The enum is written to the + edges of a graph before being pasted to `kruskal_mst_edges`. Options are: + + - EdgePartition.OPEN + - EdgePartition.INCLUDED + - EdgePartition.EXCLUDED + """ + + OPEN = 0 + INCLUDED = 1 + EXCLUDED = 2 + + +@not_implemented_for("multigraph") +@nx._dispatchable(edge_attrs="weight", preserve_edge_attrs="data") +def boruvka_mst_edges( + G, minimum=True, weight="weight", keys=False, data=True, ignore_nan=False +): + """Iterate over edges of a Borůvka's algorithm min/max spanning tree. + + Parameters + ---------- + G : NetworkX Graph + The edges of `G` must have distinct weights, + otherwise the edges may not form a tree. + + minimum : bool (default: True) + Find the minimum (True) or maximum (False) spanning tree. + + weight : string (default: 'weight') + The name of the edge attribute holding the edge weights. + + keys : bool (default: True) + This argument is ignored since this function is not + implemented for multigraphs; it exists only for consistency + with the other minimum spanning tree functions. + + data : bool (default: True) + Flag for whether to yield edge attribute dicts. + If True, yield edges `(u, v, d)`, where `d` is the attribute dict. + If False, yield edges `(u, v)`. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + """ + # Initialize a forest, assuming initially that it is the discrete + # partition of the nodes of the graph. + forest = UnionFind(G) + + def best_edge(component): + """Returns the optimum (minimum or maximum) edge on the edge + boundary of the given set of nodes. + + A return value of ``None`` indicates an empty boundary. + + """ + sign = 1 if minimum else -1 + minwt = float("inf") + boundary = None + for e in nx.edge_boundary(G, component, data=True): + wt = e[-1].get(weight, 1) * sign + if isnan(wt): + if ignore_nan: + continue + msg = f"NaN found as an edge weight. Edge {e}" + raise ValueError(msg) + if wt < minwt: + minwt = wt + boundary = e + return boundary + + # Determine the optimum edge in the edge boundary of each component + # in the forest. + best_edges = (best_edge(component) for component in forest.to_sets()) + best_edges = [edge for edge in best_edges if edge is not None] + # If each entry was ``None``, that means the graph was disconnected, + # so we are done generating the forest. + while best_edges: + # Determine the optimum edge in the edge boundary of each + # component in the forest. + # + # This must be a sequence, not an iterator. In this list, the + # same edge may appear twice, in different orientations (but + # that's okay, since a union operation will be called on the + # endpoints the first time it is seen, but not the second time). + # + # Any ``None`` indicates that the edge boundary for that + # component was empty, so that part of the forest has been + # completed. + # + # TODO This can be parallelized, both in the outer loop over + # each component in the forest and in the computation of the + # minimum. (Same goes for the identical lines outside the loop.) + best_edges = (best_edge(component) for component in forest.to_sets()) + best_edges = [edge for edge in best_edges if edge is not None] + # Join trees in the forest using the best edges, and yield that + # edge, since it is part of the spanning tree. + # + # TODO This loop can be parallelized, to an extent (the union + # operation must be atomic). + for u, v, d in best_edges: + if forest[u] != forest[v]: + if data: + yield u, v, d + else: + yield u, v + forest.union(u, v) + + +@nx._dispatchable( + edge_attrs={"weight": None, "partition": None}, preserve_edge_attrs="data" +) +def kruskal_mst_edges( + G, minimum, weight="weight", keys=True, data=True, ignore_nan=False, partition=None +): + """ + Iterate over edge of a Kruskal's algorithm min/max spanning tree. + + Parameters + ---------- + G : NetworkX Graph + The graph holding the tree of interest. + + minimum : bool (default: True) + Find the minimum (True) or maximum (False) spanning tree. + + weight : string (default: 'weight') + The name of the edge attribute holding the edge weights. + + keys : bool (default: True) + If `G` is a multigraph, `keys` controls whether edge keys ar yielded. + Otherwise `keys` is ignored. + + data : bool (default: True) + Flag for whether to yield edge attribute dicts. + If True, yield edges `(u, v, d)`, where `d` is the attribute dict. + If False, yield edges `(u, v)`. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + partition : string (default: None) + The name of the edge attribute holding the partition data, if it exists. + Partition data is written to the edges using the `EdgePartition` enum. + If a partition exists, all included edges and none of the excluded edges + will appear in the final tree. Open edges may or may not be used. + + Yields + ------ + edge tuple + The edges as discovered by Kruskal's method. Each edge can + take the following forms: `(u, v)`, `(u, v, d)` or `(u, v, k, d)` + depending on the `key` and `data` parameters + """ + subtrees = UnionFind() + if G.is_multigraph(): + edges = G.edges(keys=True, data=True) + else: + edges = G.edges(data=True) + + """ + Sort the edges of the graph with respect to the partition data. + Edges are returned in the following order: + + * Included edges + * Open edges from smallest to largest weight + * Excluded edges + """ + included_edges = [] + open_edges = [] + for e in edges: + d = e[-1] + wt = d.get(weight, 1) + if isnan(wt): + if ignore_nan: + continue + raise ValueError(f"NaN found as an edge weight. Edge {e}") + + edge = (wt,) + e + if d.get(partition) == EdgePartition.INCLUDED: + included_edges.append(edge) + elif d.get(partition) == EdgePartition.EXCLUDED: + continue + else: + open_edges.append(edge) + + if minimum: + sorted_open_edges = sorted(open_edges, key=itemgetter(0)) + else: + sorted_open_edges = sorted(open_edges, key=itemgetter(0), reverse=True) + + # Condense the lists into one + included_edges.extend(sorted_open_edges) + sorted_edges = included_edges + del open_edges, sorted_open_edges, included_edges + + # Multigraphs need to handle edge keys in addition to edge data. + if G.is_multigraph(): + for wt, u, v, k, d in sorted_edges: + if subtrees[u] != subtrees[v]: + if keys: + if data: + yield u, v, k, d + else: + yield u, v, k + else: + if data: + yield u, v, d + else: + yield u, v + subtrees.union(u, v) + else: + for wt, u, v, d in sorted_edges: + if subtrees[u] != subtrees[v]: + if data: + yield u, v, d + else: + yield u, v + subtrees.union(u, v) + + +@nx._dispatchable(edge_attrs="weight", preserve_edge_attrs="data") +def prim_mst_edges(G, minimum, weight="weight", keys=True, data=True, ignore_nan=False): + """Iterate over edges of Prim's algorithm min/max spanning tree. + + Parameters + ---------- + G : NetworkX Graph + The graph holding the tree of interest. + + minimum : bool (default: True) + Find the minimum (True) or maximum (False) spanning tree. + + weight : string (default: 'weight') + The name of the edge attribute holding the edge weights. + + keys : bool (default: True) + If `G` is a multigraph, `keys` controls whether edge keys ar yielded. + Otherwise `keys` is ignored. + + data : bool (default: True) + Flag for whether to yield edge attribute dicts. + If True, yield edges `(u, v, d)`, where `d` is the attribute dict. + If False, yield edges `(u, v)`. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + """ + is_multigraph = G.is_multigraph() + push = heappush + pop = heappop + + nodes = set(G) + c = count() + + sign = 1 if minimum else -1 + + while nodes: + u = nodes.pop() + frontier = [] + visited = {u} + if is_multigraph: + for v, keydict in G.adj[u].items(): + for k, d in keydict.items(): + wt = d.get(weight, 1) * sign + if isnan(wt): + if ignore_nan: + continue + msg = f"NaN found as an edge weight. Edge {(u, v, k, d)}" + raise ValueError(msg) + push(frontier, (wt, next(c), u, v, k, d)) + else: + for v, d in G.adj[u].items(): + wt = d.get(weight, 1) * sign + if isnan(wt): + if ignore_nan: + continue + msg = f"NaN found as an edge weight. Edge {(u, v, d)}" + raise ValueError(msg) + push(frontier, (wt, next(c), u, v, d)) + while nodes and frontier: + if is_multigraph: + W, _, u, v, k, d = pop(frontier) + else: + W, _, u, v, d = pop(frontier) + if v in visited or v not in nodes: + continue + # Multigraphs need to handle edge keys in addition to edge data. + if is_multigraph and keys: + if data: + yield u, v, k, d + else: + yield u, v, k + else: + if data: + yield u, v, d + else: + yield u, v + # update frontier + visited.add(v) + nodes.discard(v) + if is_multigraph: + for w, keydict in G.adj[v].items(): + if w in visited: + continue + for k2, d2 in keydict.items(): + new_weight = d2.get(weight, 1) * sign + if isnan(new_weight): + if ignore_nan: + continue + msg = f"NaN found as an edge weight. Edge {(v, w, k2, d2)}" + raise ValueError(msg) + push(frontier, (new_weight, next(c), v, w, k2, d2)) + else: + for w, d2 in G.adj[v].items(): + if w in visited: + continue + new_weight = d2.get(weight, 1) * sign + if isnan(new_weight): + if ignore_nan: + continue + msg = f"NaN found as an edge weight. Edge {(v, w, d2)}" + raise ValueError(msg) + push(frontier, (new_weight, next(c), v, w, d2)) + + +ALGORITHMS = { + "boruvka": boruvka_mst_edges, + "borůvka": boruvka_mst_edges, + "kruskal": kruskal_mst_edges, + "prim": prim_mst_edges, +} + + +@not_implemented_for("directed") +@nx._dispatchable(edge_attrs="weight", preserve_edge_attrs="data") +def minimum_spanning_edges( + G, algorithm="kruskal", weight="weight", keys=True, data=True, ignore_nan=False +): + """Generate edges in a minimum spanning forest of an undirected + weighted graph. + + A minimum spanning tree is a subgraph of the graph (a tree) + with the minimum sum of edge weights. A spanning forest is a + union of the spanning trees for each connected component of the graph. + + Parameters + ---------- + G : undirected Graph + An undirected graph. If `G` is connected, then the algorithm finds a + spanning tree. Otherwise, a spanning forest is found. + + algorithm : string + The algorithm to use when finding a minimum spanning tree. Valid + choices are 'kruskal', 'prim', or 'boruvka'. The default is 'kruskal'. + + weight : string + Edge data key to use for weight (default 'weight'). + + keys : bool + Whether to yield edge key in multigraphs in addition to the edge. + If `G` is not a multigraph, this is ignored. + + data : bool, optional + If True yield the edge data along with the edge. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + Returns + ------- + edges : iterator + An iterator over edges in a maximum spanning tree of `G`. + Edges connecting nodes `u` and `v` are represented as tuples: + `(u, v, k, d)` or `(u, v, k)` or `(u, v, d)` or `(u, v)` + + If `G` is a multigraph, `keys` indicates whether the edge key `k` will + be reported in the third position in the edge tuple. `data` indicates + whether the edge datadict `d` will appear at the end of the edge tuple. + + If `G` is not a multigraph, the tuples are `(u, v, d)` if `data` is True + or `(u, v)` if `data` is False. + + Examples + -------- + >>> from networkx.algorithms import tree + + Find minimum spanning edges by Kruskal's algorithm + + >>> G = nx.cycle_graph(4) + >>> G.add_edge(0, 3, weight=2) + >>> mst = tree.minimum_spanning_edges(G, algorithm="kruskal", data=False) + >>> edgelist = list(mst) + >>> sorted(sorted(e) for e in edgelist) + [[0, 1], [1, 2], [2, 3]] + + Find minimum spanning edges by Prim's algorithm + + >>> G = nx.cycle_graph(4) + >>> G.add_edge(0, 3, weight=2) + >>> mst = tree.minimum_spanning_edges(G, algorithm="prim", data=False) + >>> edgelist = list(mst) + >>> sorted(sorted(e) for e in edgelist) + [[0, 1], [1, 2], [2, 3]] + + Notes + ----- + For Borůvka's algorithm, each edge must have a weight attribute, and + each edge weight must be distinct. + + For the other algorithms, if the graph edges do not have a weight + attribute a default weight of 1 will be used. + + Modified code from David Eppstein, April 2006 + http://www.ics.uci.edu/~eppstein/PADS/ + + """ + try: + algo = ALGORITHMS[algorithm] + except KeyError as err: + msg = f"{algorithm} is not a valid choice for an algorithm." + raise ValueError(msg) from err + + return algo( + G, minimum=True, weight=weight, keys=keys, data=data, ignore_nan=ignore_nan + ) + + +@not_implemented_for("directed") +@nx._dispatchable(edge_attrs="weight", preserve_edge_attrs="data") +def maximum_spanning_edges( + G, algorithm="kruskal", weight="weight", keys=True, data=True, ignore_nan=False +): + """Generate edges in a maximum spanning forest of an undirected + weighted graph. + + A maximum spanning tree is a subgraph of the graph (a tree) + with the maximum possible sum of edge weights. A spanning forest is a + union of the spanning trees for each connected component of the graph. + + Parameters + ---------- + G : undirected Graph + An undirected graph. If `G` is connected, then the algorithm finds a + spanning tree. Otherwise, a spanning forest is found. + + algorithm : string + The algorithm to use when finding a maximum spanning tree. Valid + choices are 'kruskal', 'prim', or 'boruvka'. The default is 'kruskal'. + + weight : string + Edge data key to use for weight (default 'weight'). + + keys : bool + Whether to yield edge key in multigraphs in addition to the edge. + If `G` is not a multigraph, this is ignored. + + data : bool, optional + If True yield the edge data along with the edge. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + Returns + ------- + edges : iterator + An iterator over edges in a maximum spanning tree of `G`. + Edges connecting nodes `u` and `v` are represented as tuples: + `(u, v, k, d)` or `(u, v, k)` or `(u, v, d)` or `(u, v)` + + If `G` is a multigraph, `keys` indicates whether the edge key `k` will + be reported in the third position in the edge tuple. `data` indicates + whether the edge datadict `d` will appear at the end of the edge tuple. + + If `G` is not a multigraph, the tuples are `(u, v, d)` if `data` is True + or `(u, v)` if `data` is False. + + Examples + -------- + >>> from networkx.algorithms import tree + + Find maximum spanning edges by Kruskal's algorithm + + >>> G = nx.cycle_graph(4) + >>> G.add_edge(0, 3, weight=2) + >>> mst = tree.maximum_spanning_edges(G, algorithm="kruskal", data=False) + >>> edgelist = list(mst) + >>> sorted(sorted(e) for e in edgelist) + [[0, 1], [0, 3], [1, 2]] + + Find maximum spanning edges by Prim's algorithm + + >>> G = nx.cycle_graph(4) + >>> G.add_edge(0, 3, weight=2) # assign weight 2 to edge 0-3 + >>> mst = tree.maximum_spanning_edges(G, algorithm="prim", data=False) + >>> edgelist = list(mst) + >>> sorted(sorted(e) for e in edgelist) + [[0, 1], [0, 3], [2, 3]] + + Notes + ----- + For Borůvka's algorithm, each edge must have a weight attribute, and + each edge weight must be distinct. + + For the other algorithms, if the graph edges do not have a weight + attribute a default weight of 1 will be used. + + Modified code from David Eppstein, April 2006 + http://www.ics.uci.edu/~eppstein/PADS/ + """ + try: + algo = ALGORITHMS[algorithm] + except KeyError as err: + msg = f"{algorithm} is not a valid choice for an algorithm." + raise ValueError(msg) from err + + return algo( + G, minimum=False, weight=weight, keys=keys, data=data, ignore_nan=ignore_nan + ) + + +@nx._dispatchable(preserve_all_attrs=True, returns_graph=True) +def minimum_spanning_tree(G, weight="weight", algorithm="kruskal", ignore_nan=False): + """Returns a minimum spanning tree or forest on an undirected graph `G`. + + Parameters + ---------- + G : undirected graph + An undirected graph. If `G` is connected, then the algorithm finds a + spanning tree. Otherwise, a spanning forest is found. + + weight : str + Data key to use for edge weights. + + algorithm : string + The algorithm to use when finding a minimum spanning tree. Valid + choices are 'kruskal', 'prim', or 'boruvka'. The default is + 'kruskal'. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + Returns + ------- + G : NetworkX Graph + A minimum spanning tree or forest. + + Examples + -------- + >>> G = nx.cycle_graph(4) + >>> G.add_edge(0, 3, weight=2) + >>> T = nx.minimum_spanning_tree(G) + >>> sorted(T.edges(data=True)) + [(0, 1, {}), (1, 2, {}), (2, 3, {})] + + + Notes + ----- + For Borůvka's algorithm, each edge must have a weight attribute, and + each edge weight must be distinct. + + For the other algorithms, if the graph edges do not have a weight + attribute a default weight of 1 will be used. + + There may be more than one tree with the same minimum or maximum weight. + See :mod:`networkx.tree.recognition` for more detailed definitions. + + Isolated nodes with self-loops are in the tree as edgeless isolated nodes. + + """ + edges = minimum_spanning_edges( + G, algorithm, weight, keys=True, data=True, ignore_nan=ignore_nan + ) + T = G.__class__() # Same graph class as G + T.graph.update(G.graph) + T.add_nodes_from(G.nodes.items()) + T.add_edges_from(edges) + return T + + +@nx._dispatchable(preserve_all_attrs=True, returns_graph=True) +def partition_spanning_tree( + G, minimum=True, weight="weight", partition="partition", ignore_nan=False +): + """ + Find a spanning tree while respecting a partition of edges. + + Edges can be flagged as either `INCLUDED` which are required to be in the + returned tree, `EXCLUDED`, which cannot be in the returned tree and `OPEN`. + + This is used in the SpanningTreeIterator to create new partitions following + the algorithm of Sörensen and Janssens [1]_. + + Parameters + ---------- + G : undirected graph + An undirected graph. + + minimum : bool (default: True) + Determines whether the returned tree is the minimum spanning tree of + the partition of the maximum one. + + weight : str + Data key to use for edge weights. + + partition : str + The key for the edge attribute containing the partition + data on the graph. Edges can be included, excluded or open using the + `EdgePartition` enum. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + + Returns + ------- + G : NetworkX Graph + A minimum spanning tree using all of the included edges in the graph and + none of the excluded edges. + + References + ---------- + .. [1] G.K. Janssens, K. Sörensen, An algorithm to generate all spanning + trees in order of increasing cost, Pesquisa Operacional, 2005-08, + Vol. 25 (2), p. 219-229, + https://www.scielo.br/j/pope/a/XHswBwRwJyrfL88dmMwYNWp/?lang=en + """ + edges = kruskal_mst_edges( + G, + minimum, + weight, + keys=True, + data=True, + ignore_nan=ignore_nan, + partition=partition, + ) + T = G.__class__() # Same graph class as G + T.graph.update(G.graph) + T.add_nodes_from(G.nodes.items()) + T.add_edges_from(edges) + return T + + +@nx._dispatchable(preserve_all_attrs=True, returns_graph=True) +def maximum_spanning_tree(G, weight="weight", algorithm="kruskal", ignore_nan=False): + """Returns a maximum spanning tree or forest on an undirected graph `G`. + + Parameters + ---------- + G : undirected graph + An undirected graph. If `G` is connected, then the algorithm finds a + spanning tree. Otherwise, a spanning forest is found. + + weight : str + Data key to use for edge weights. + + algorithm : string + The algorithm to use when finding a maximum spanning tree. Valid + choices are 'kruskal', 'prim', or 'boruvka'. The default is + 'kruskal'. + + ignore_nan : bool (default: False) + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + + + Returns + ------- + G : NetworkX Graph + A maximum spanning tree or forest. + + + Examples + -------- + >>> G = nx.cycle_graph(4) + >>> G.add_edge(0, 3, weight=2) + >>> T = nx.maximum_spanning_tree(G) + >>> sorted(T.edges(data=True)) + [(0, 1, {}), (0, 3, {'weight': 2}), (1, 2, {})] + + + Notes + ----- + For Borůvka's algorithm, each edge must have a weight attribute, and + each edge weight must be distinct. + + For the other algorithms, if the graph edges do not have a weight + attribute a default weight of 1 will be used. + + There may be more than one tree with the same minimum or maximum weight. + See :mod:`networkx.tree.recognition` for more detailed definitions. + + Isolated nodes with self-loops are in the tree as edgeless isolated nodes. + + """ + edges = maximum_spanning_edges( + G, algorithm, weight, keys=True, data=True, ignore_nan=ignore_nan + ) + edges = list(edges) + T = G.__class__() # Same graph class as G + T.graph.update(G.graph) + T.add_nodes_from(G.nodes.items()) + T.add_edges_from(edges) + return T + + +@py_random_state(3) +@nx._dispatchable(preserve_edge_attrs=True, returns_graph=True) +def random_spanning_tree(G, weight=None, *, multiplicative=True, seed=None): + """ + Sample a random spanning tree using the edges weights of `G`. + + This function supports two different methods for determining the + probability of the graph. If ``multiplicative=True``, the probability + is based on the product of edge weights, and if ``multiplicative=False`` + it is based on the sum of the edge weight. However, since it is + easier to determine the total weight of all spanning trees for the + multiplicative version, that is significantly faster and should be used if + possible. Additionally, setting `weight` to `None` will cause a spanning tree + to be selected with uniform probability. + + The function uses algorithm A8 in [1]_ . + + Parameters + ---------- + G : nx.Graph + An undirected version of the original graph. + + weight : string + The edge key for the edge attribute holding edge weight. + + multiplicative : bool, default=True + If `True`, the probability of each tree is the product of its edge weight + over the sum of the product of all the spanning trees in the graph. If + `False`, the probability is the sum of its edge weight over the sum of + the sum of weights for all spanning trees in the graph. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + nx.Graph + A spanning tree using the distribution defined by the weight of the tree. + + References + ---------- + .. [1] V. Kulkarni, Generating random combinatorial objects, Journal of + Algorithms, 11 (1990), pp. 185–207 + """ + + def find_node(merged_nodes, node): + """ + We can think of clusters of contracted nodes as having one + representative in the graph. Each node which is not in merged_nodes + is still its own representative. Since a representative can be later + contracted, we need to recursively search though the dict to find + the final representative, but once we know it we can use path + compression to speed up the access of the representative for next time. + + This cannot be replaced by the standard NetworkX union_find since that + data structure will merge nodes with less representing nodes into the + one with more representing nodes but this function requires we merge + them using the order that contract_edges contracts using. + + Parameters + ---------- + merged_nodes : dict + The dict storing the mapping from node to representative + node + The node whose representative we seek + + Returns + ------- + The representative of the `node` + """ + if node not in merged_nodes: + return node + else: + rep = find_node(merged_nodes, merged_nodes[node]) + merged_nodes[node] = rep + return rep + + def prepare_graph(): + """ + For the graph `G`, remove all edges not in the set `V` and then + contract all edges in the set `U`. + + Returns + ------- + A copy of `G` which has had all edges not in `V` removed and all edges + in `U` contracted. + """ + + # The result is a MultiGraph version of G so that parallel edges are + # allowed during edge contraction + result = nx.MultiGraph(incoming_graph_data=G) + + # Remove all edges not in V + edges_to_remove = set(result.edges()).difference(V) + result.remove_edges_from(edges_to_remove) + + # Contract all edges in U + # + # Imagine that you have two edges to contract and they share an + # endpoint like this: + # [0] ----- [1] ----- [2] + # If we contract (0, 1) first, the contraction function will always + # delete the second node it is passed so the resulting graph would be + # [0] ----- [2] + # and edge (1, 2) no longer exists but (0, 2) would need to be contracted + # in its place now. That is why I use the below dict as a merge-find + # data structure with path compression to track how the nodes are merged. + merged_nodes = {} + + for u, v in U: + u_rep = find_node(merged_nodes, u) + v_rep = find_node(merged_nodes, v) + # We cannot contract a node with itself + if u_rep == v_rep: + continue + nx.contracted_nodes(result, u_rep, v_rep, self_loops=False, copy=False) + merged_nodes[v_rep] = u_rep + + return merged_nodes, result + + def spanning_tree_total_weight(G, weight): + """ + Find the sum of weights of the spanning trees of `G` using the + appropriate `method`. + + This is easy if the chosen method is 'multiplicative', since we can + use Kirchhoff's Tree Matrix Theorem directly. However, with the + 'additive' method, this process is slightly more complex and less + computationally efficient as we have to find the number of spanning + trees which contain each possible edge in the graph. + + Parameters + ---------- + G : NetworkX Graph + The graph to find the total weight of all spanning trees on. + + weight : string + The key for the weight edge attribute of the graph. + + Returns + ------- + float + The sum of either the multiplicative or additive weight for all + spanning trees in the graph. + """ + if multiplicative: + return nx.total_spanning_tree_weight(G, weight) + else: + # There are two cases for the total spanning tree additive weight. + # 1. There is one edge in the graph. Then the only spanning tree is + # that edge itself, which will have a total weight of that edge + # itself. + if G.number_of_edges() == 1: + return G.edges(data=weight).__iter__().__next__()[2] + # 2. There are no edges or two or more edges in the graph. Then, we find the + # total weight of the spanning trees using the formula in the + # reference paper: take the weight of each edge and multiply it by + # the number of spanning trees which include that edge. This + # can be accomplished by contracting the edge and finding the + # multiplicative total spanning tree weight if the weight of each edge + # is assumed to be 1, which is conveniently built into networkx already, + # by calling total_spanning_tree_weight with weight=None. + # Note that with no edges the returned value is just zero. + else: + total = 0 + for u, v, w in G.edges(data=weight): + total += w * nx.total_spanning_tree_weight( + nx.contracted_edge(G, edge=(u, v), self_loops=False), None + ) + return total + + if G.number_of_nodes() < 2: + # no edges in the spanning tree + return nx.empty_graph(G.nodes) + + U = set() + st_cached_value = 0 + V = set(G.edges()) + shuffled_edges = list(G.edges()) + seed.shuffle(shuffled_edges) + + for u, v in shuffled_edges: + e_weight = G[u][v][weight] if weight is not None else 1 + node_map, prepared_G = prepare_graph() + G_total_tree_weight = spanning_tree_total_weight(prepared_G, weight) + # Add the edge to U so that we can compute the total tree weight + # assuming we include that edge + # Now, if (u, v) cannot exist in G because it is fully contracted out + # of existence, then it by definition cannot influence G_e's Kirchhoff + # value. But, we also cannot pick it. + rep_edge = (find_node(node_map, u), find_node(node_map, v)) + # Check to see if the 'representative edge' for the current edge is + # in prepared_G. If so, then we can pick it. + if rep_edge in prepared_G.edges: + prepared_G_e = nx.contracted_edge( + prepared_G, edge=rep_edge, self_loops=False + ) + G_e_total_tree_weight = spanning_tree_total_weight(prepared_G_e, weight) + if multiplicative: + threshold = e_weight * G_e_total_tree_weight / G_total_tree_weight + else: + numerator = ( + st_cached_value + e_weight + ) * nx.total_spanning_tree_weight(prepared_G_e) + G_e_total_tree_weight + denominator = ( + st_cached_value * nx.total_spanning_tree_weight(prepared_G) + + G_total_tree_weight + ) + threshold = numerator / denominator + else: + threshold = 0.0 + z = seed.uniform(0.0, 1.0) + if z > threshold: + # Remove the edge from V since we did not pick it. + V.remove((u, v)) + else: + # Add the edge to U since we picked it. + st_cached_value += e_weight + U.add((u, v)) + # If we decide to keep an edge, it may complete the spanning tree. + if len(U) == G.number_of_nodes() - 1: + spanning_tree = nx.Graph() + spanning_tree.add_edges_from(U) + return spanning_tree + raise Exception(f"Something went wrong! Only {len(U)} edges in the spanning tree!") + + +class SpanningTreeIterator: + """ + Iterate over all spanning trees of a graph in either increasing or + decreasing cost. + + Notes + ----- + This iterator uses the partition scheme from [1]_ (included edges, + excluded edges and open edges) as well as a modified Kruskal's Algorithm + to generate minimum spanning trees which respect the partition of edges. + For spanning trees with the same weight, ties are broken arbitrarily. + + References + ---------- + .. [1] G.K. Janssens, K. Sörensen, An algorithm to generate all spanning + trees in order of increasing cost, Pesquisa Operacional, 2005-08, + Vol. 25 (2), p. 219-229, + https://www.scielo.br/j/pope/a/XHswBwRwJyrfL88dmMwYNWp/?lang=en + """ + + @dataclass(order=True) + class Partition: + """ + This dataclass represents a partition and stores a dict with the edge + data and the weight of the minimum spanning tree of the partition dict. + """ + + mst_weight: float + partition_dict: dict = field(compare=False) + + def __copy__(self): + return SpanningTreeIterator.Partition( + self.mst_weight, self.partition_dict.copy() + ) + + def __init__(self, G, weight="weight", minimum=True, ignore_nan=False): + """ + Initialize the iterator + + Parameters + ---------- + G : nx.Graph + The directed graph which we need to iterate trees over + + weight : String, default = "weight" + The edge attribute used to store the weight of the edge + + minimum : bool, default = True + Return the trees in increasing order while true and decreasing order + while false. + + ignore_nan : bool, default = False + If a NaN is found as an edge weight normally an exception is raised. + If `ignore_nan is True` then that edge is ignored instead. + """ + self.G = G.copy() + self.G.__networkx_cache__ = None # Disable caching + self.weight = weight + self.minimum = minimum + self.ignore_nan = ignore_nan + # Randomly create a key for an edge attribute to hold the partition data + self.partition_key = ( + "SpanningTreeIterators super secret partition attribute name" + ) + + def __iter__(self): + """ + Returns + ------- + SpanningTreeIterator + The iterator object for this graph + """ + self.partition_queue = PriorityQueue() + self._clear_partition(self.G) + mst_weight = partition_spanning_tree( + self.G, self.minimum, self.weight, self.partition_key, self.ignore_nan + ).size(weight=self.weight) + + self.partition_queue.put( + self.Partition(mst_weight if self.minimum else -mst_weight, {}) + ) + + return self + + def __next__(self): + """ + Returns + ------- + (multi)Graph + The spanning tree of next greatest weight, which ties broken + arbitrarily. + """ + if self.partition_queue.empty(): + del self.G, self.partition_queue + raise StopIteration + + partition = self.partition_queue.get() + self._write_partition(partition) + next_tree = partition_spanning_tree( + self.G, self.minimum, self.weight, self.partition_key, self.ignore_nan + ) + self._partition(partition, next_tree) + + self._clear_partition(next_tree) + return next_tree + + def _partition(self, partition, partition_tree): + """ + Create new partitions based of the minimum spanning tree of the + current minimum partition. + + Parameters + ---------- + partition : Partition + The Partition instance used to generate the current minimum spanning + tree. + partition_tree : nx.Graph + The minimum spanning tree of the input partition. + """ + # create two new partitions with the data from the input partition dict + p1 = self.Partition(0, partition.partition_dict.copy()) + p2 = self.Partition(0, partition.partition_dict.copy()) + for e in partition_tree.edges: + # determine if the edge was open or included + if e not in partition.partition_dict: + # This is an open edge + p1.partition_dict[e] = EdgePartition.EXCLUDED + p2.partition_dict[e] = EdgePartition.INCLUDED + + self._write_partition(p1) + p1_mst = partition_spanning_tree( + self.G, + self.minimum, + self.weight, + self.partition_key, + self.ignore_nan, + ) + p1_mst_weight = p1_mst.size(weight=self.weight) + if nx.is_connected(p1_mst): + p1.mst_weight = p1_mst_weight if self.minimum else -p1_mst_weight + self.partition_queue.put(p1.__copy__()) + p1.partition_dict = p2.partition_dict.copy() + + def _write_partition(self, partition): + """ + Writes the desired partition into the graph to calculate the minimum + spanning tree. + + Parameters + ---------- + partition : Partition + A Partition dataclass describing a partition on the edges of the + graph. + """ + + partition_dict = partition.partition_dict + partition_key = self.partition_key + G = self.G + + edges = ( + G.edges(keys=True, data=True) if G.is_multigraph() else G.edges(data=True) + ) + for *e, d in edges: + d[partition_key] = partition_dict.get(tuple(e), EdgePartition.OPEN) + + def _clear_partition(self, G): + """ + Removes partition data from the graph + """ + partition_key = self.partition_key + edges = ( + G.edges(keys=True, data=True) if G.is_multigraph() else G.edges(data=True) + ) + for *e, d in edges: + if partition_key in d: + del d[partition_key] + + +@nx._dispatchable(edge_attrs="weight") +def number_of_spanning_trees(G, *, root=None, weight=None): + """Returns the number of spanning trees in `G`. + + A spanning tree for an undirected graph is a tree that connects + all nodes in the graph. For a directed graph, the analog of a + spanning tree is called a (spanning) arborescence. The arborescence + includes a unique directed path from the `root` node to each other node. + The graph must be weakly connected, and the root must be a node + that includes all nodes as successors [3]_. Note that to avoid + discussing sink-roots and reverse-arborescences, we have reversed + the edge orientation from [3]_ and use the in-degree laplacian. + + This function (when `weight` is `None`) returns the number of + spanning trees for an undirected graph and the number of + arborescences from a single root node for a directed graph. + When `weight` is the name of an edge attribute which holds the + weight value of each edge, the function returns the sum over + all trees of the multiplicative weight of each tree. That is, + the weight of the tree is the product of its edge weights. + + Kirchoff's Tree Matrix Theorem states that any cofactor of the + Laplacian matrix of a graph is the number of spanning trees in the + graph. (Here we use cofactors for a diagonal entry so that the + cofactor becomes the determinant of the matrix with one row + and its matching column removed.) For a weighted Laplacian matrix, + the cofactor is the sum across all spanning trees of the + multiplicative weight of each tree. That is, the weight of each + tree is the product of its edge weights. The theorem is also + known as Kirchhoff's theorem [1]_ and the Matrix-Tree theorem [2]_. + + For directed graphs, a similar theorem (Tutte's Theorem) holds with + the cofactor chosen to be the one with row and column removed that + correspond to the root. The cofactor is the number of arborescences + with the specified node as root. And the weighted version gives the + sum of the arborescence weights with root `root`. The arborescence + weight is the product of its edge weights. + + Parameters + ---------- + G : NetworkX graph + + root : node + A node in the directed graph `G` that has all nodes as descendants. + (This is ignored for undirected graphs.) + + weight : string or None, optional (default=None) + The name of the edge attribute holding the edge weight. + If `None`, then each edge is assumed to have a weight of 1. + + Returns + ------- + Number + Undirected graphs: + The number of spanning trees of the graph `G`. + Or the sum of all spanning tree weights of the graph `G` + where the weight of a tree is the product of its edge weights. + Directed graphs: + The number of arborescences of `G` rooted at node `root`. + Or the sum of all arborescence weights of the graph `G` with + specified root where the weight of an arborescence is the product + of its edge weights. + + Raises + ------ + NetworkXPointlessConcept + If `G` does not contain any nodes. + + NetworkXError + If the graph `G` is directed and the root node + is not specified or is not in G. + + Examples + -------- + >>> G = nx.complete_graph(5) + >>> round(nx.number_of_spanning_trees(G)) + 125 + + >>> G = nx.Graph() + >>> G.add_edge(1, 2, weight=2) + >>> G.add_edge(1, 3, weight=1) + >>> G.add_edge(2, 3, weight=1) + >>> round(nx.number_of_spanning_trees(G, weight="weight")) + 5 + + Notes + ----- + Self-loops are excluded. Multi-edges are contracted in one edge + equal to the sum of the weights. + + References + ---------- + .. [1] Wikipedia + "Kirchhoff's theorem." + https://en.wikipedia.org/wiki/Kirchhoff%27s_theorem + .. [2] Kirchhoff, G. R. + Über die Auflösung der Gleichungen, auf welche man + bei der Untersuchung der linearen Vertheilung + Galvanischer Ströme geführt wird + Annalen der Physik und Chemie, vol. 72, pp. 497-508, 1847. + .. [3] Margoliash, J. + "Matrix-Tree Theorem for Directed Graphs" + https://www.math.uchicago.edu/~may/VIGRE/VIGRE2010/REUPapers/Margoliash.pdf + """ + import numpy as np + + if len(G) == 0: + raise nx.NetworkXPointlessConcept("Graph G must contain at least one node.") + + # undirected G + if not nx.is_directed(G): + if not nx.is_connected(G): + return 0 + G_laplacian = nx.laplacian_matrix(G, weight=weight).toarray() + return float(np.linalg.det(G_laplacian[1:, 1:])) + + # directed G + if root is None: + raise nx.NetworkXError("Input `root` must be provided when G is directed") + if root not in G: + raise nx.NetworkXError("The node root is not in the graph G.") + if not nx.is_weakly_connected(G): + return 0 + + # Compute directed Laplacian matrix + nodelist = [root] + [n for n in G if n != root] + A = nx.adjacency_matrix(G, nodelist=nodelist, weight=weight) + D = np.diag(A.sum(axis=0)) + G_laplacian = D - A + + # Compute number of spanning trees + return float(np.linalg.det(G_laplacian[1:, 1:])) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/operations.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/operations.py new file mode 100644 index 0000000000000000000000000000000000000000..6c3e839453e686c80d33c94a66defa87698a066f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/operations.py @@ -0,0 +1,105 @@ +"""Operations on trees.""" + +from functools import partial +from itertools import accumulate, chain + +import networkx as nx + +__all__ = ["join_trees"] + + +# Argument types don't match dispatching, but allow manual selection of backend +@nx._dispatchable(graphs=None, returns_graph=True) +def join_trees(rooted_trees, *, label_attribute=None, first_label=0): + """Returns a new rooted tree made by joining `rooted_trees` + + Constructs a new tree by joining each tree in `rooted_trees`. + A new root node is added and connected to each of the roots + of the input trees. While copying the nodes from the trees, + relabeling to integers occurs. If the `label_attribute` is provided, + the old node labels will be stored in the new tree under this attribute. + + Parameters + ---------- + rooted_trees : list + A list of pairs in which each left element is a NetworkX graph + object representing a tree and each right element is the root + node of that tree. The nodes of these trees will be relabeled to + integers. + + label_attribute : str + If provided, the old node labels will be stored in the new tree + under this node attribute. If not provided, the original labels + of the nodes in the input trees are not stored. + + first_label : int, optional (default=0) + Specifies the label for the new root node. If provided, the root node of the joined tree + will have this label. If not provided, the root node will default to a label of 0. + + Returns + ------- + NetworkX graph + The rooted tree resulting from joining the provided `rooted_trees`. The new tree has a root node + labeled as specified by `first_label` (defaulting to 0 if not provided). Subtrees from the input + `rooted_trees` are attached to this new root node. Each non-root node, if the `label_attribute` + is provided, has an attribute that indicates the original label of the node in the input tree. + + Notes + ----- + Trees are stored in NetworkX as NetworkX Graphs. There is no specific + enforcement of the fact that these are trees. Testing for each tree + can be done using :func:`networkx.is_tree`. + + Graph, edge, and node attributes are propagated from the given + rooted trees to the created tree. If there are any overlapping graph + attributes, those from later trees will overwrite those from earlier + trees in the tuple of positional arguments. + + Examples + -------- + Join two full balanced binary trees of height *h* to get a full + balanced binary tree of depth *h* + 1:: + + >>> h = 4 + >>> left = nx.balanced_tree(2, h) + >>> right = nx.balanced_tree(2, h) + >>> joined_tree = nx.join_trees([(left, 0), (right, 0)]) + >>> nx.is_isomorphic(joined_tree, nx.balanced_tree(2, h + 1)) + True + + """ + if not rooted_trees: + return nx.empty_graph(1) + + # Unzip the zipped list of (tree, root) pairs. + trees, roots = zip(*rooted_trees) + + # The join of the trees has the same type as the type of the first tree. + R = type(trees[0])() + + lengths = (len(tree) for tree in trees[:-1]) + first_labels = list(accumulate(lengths, initial=first_label + 1)) + + new_roots = [] + for tree, root, first_node in zip(trees, roots, first_labels): + new_root = first_node + list(tree.nodes()).index(root) + new_roots.append(new_root) + + # Relabel the nodes so that their union is the integers starting at first_label. + relabel = partial( + nx.convert_node_labels_to_integers, label_attribute=label_attribute + ) + new_trees = [ + relabel(tree, first_label=first_label) + for tree, first_label in zip(trees, first_labels) + ] + + # Add all sets of nodes and edges, attributes + for tree in new_trees: + R.update(tree) + + # Finally, join the subtrees at the root. We know first_label is unused by the way we relabeled the subtrees. + R.add_node(first_label) + R.add_edges_from((first_label, root) for root in new_roots) + + return R diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/recognition.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/recognition.py new file mode 100644 index 0000000000000000000000000000000000000000..a9eae98707a6889213ff8b93887c481ba59215a0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/recognition.py @@ -0,0 +1,273 @@ +""" +Recognition Tests +================= + +A *forest* is an acyclic, undirected graph, and a *tree* is a connected forest. +Depending on the subfield, there are various conventions for generalizing these +definitions to directed graphs. + +In one convention, directed variants of forest and tree are defined in an +identical manner, except that the direction of the edges is ignored. In effect, +each directed edge is treated as a single undirected edge. Then, additional +restrictions are imposed to define *branchings* and *arborescences*. + +In another convention, directed variants of forest and tree correspond to +the previous convention's branchings and arborescences, respectively. Then two +new terms, *polyforest* and *polytree*, are defined to correspond to the other +convention's forest and tree. + +Summarizing:: + + +-----------------------------+ + | Convention A | Convention B | + +=============================+ + | forest | polyforest | + | tree | polytree | + | branching | forest | + | arborescence | tree | + +-----------------------------+ + +Each convention has its reasons. The first convention emphasizes definitional +similarity in that directed forests and trees are only concerned with +acyclicity and do not have an in-degree constraint, just as their undirected +counterparts do not. The second convention emphasizes functional similarity +in the sense that the directed analog of a spanning tree is a spanning +arborescence. That is, take any spanning tree and choose one node as the root. +Then every edge is assigned a direction such there is a directed path from the +root to every other node. The result is a spanning arborescence. + +NetworkX follows convention "A". Explicitly, these are: + +undirected forest + An undirected graph with no undirected cycles. + +undirected tree + A connected, undirected forest. + +directed forest + A directed graph with no undirected cycles. Equivalently, the underlying + graph structure (which ignores edge orientations) is an undirected forest. + In convention B, this is known as a polyforest. + +directed tree + A weakly connected, directed forest. Equivalently, the underlying graph + structure (which ignores edge orientations) is an undirected tree. In + convention B, this is known as a polytree. + +branching + A directed forest with each node having, at most, one parent. So the maximum + in-degree is equal to 1. In convention B, this is known as a forest. + +arborescence + A directed tree with each node having, at most, one parent. So the maximum + in-degree is equal to 1. In convention B, this is known as a tree. + +For trees and arborescences, the adjective "spanning" may be added to designate +that the graph, when considered as a forest/branching, consists of a single +tree/arborescence that includes all nodes in the graph. It is true, by +definition, that every tree/arborescence is spanning with respect to the nodes +that define the tree/arborescence and so, it might seem redundant to introduce +the notion of "spanning". However, the nodes may represent a subset of +nodes from a larger graph, and it is in this context that the term "spanning" +becomes a useful notion. + +""" + +import networkx as nx + +__all__ = ["is_arborescence", "is_branching", "is_forest", "is_tree"] + + +@nx.utils.not_implemented_for("undirected") +@nx._dispatchable +def is_arborescence(G): + """ + Returns True if `G` is an arborescence. + + An arborescence is a directed tree with maximum in-degree equal to 1. + + Parameters + ---------- + G : graph + The graph to test. + + Returns + ------- + b : bool + A boolean that is True if `G` is an arborescence. + + Examples + -------- + >>> G = nx.DiGraph([(0, 1), (0, 2), (2, 3), (3, 4)]) + >>> nx.is_arborescence(G) + True + >>> G.remove_edge(0, 1) + >>> G.add_edge(1, 2) # maximum in-degree is 2 + >>> nx.is_arborescence(G) + False + + Notes + ----- + In another convention, an arborescence is known as a *tree*. + + See Also + -------- + is_tree + + """ + return is_tree(G) and max(d for n, d in G.in_degree()) <= 1 + + +@nx.utils.not_implemented_for("undirected") +@nx._dispatchable +def is_branching(G): + """ + Returns True if `G` is a branching. + + A branching is a directed forest with maximum in-degree equal to 1. + + Parameters + ---------- + G : directed graph + The directed graph to test. + + Returns + ------- + b : bool + A boolean that is True if `G` is a branching. + + Examples + -------- + >>> G = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 4)]) + >>> nx.is_branching(G) + True + >>> G.remove_edge(2, 3) + >>> G.add_edge(3, 1) # maximum in-degree is 2 + >>> nx.is_branching(G) + False + + Notes + ----- + In another convention, a branching is also known as a *forest*. + + See Also + -------- + is_forest + + """ + return is_forest(G) and max(d for n, d in G.in_degree()) <= 1 + + +@nx._dispatchable +def is_forest(G): + """ + Returns True if `G` is a forest. + + A forest is a graph with no undirected cycles. + + For directed graphs, `G` is a forest if the underlying graph is a forest. + The underlying graph is obtained by treating each directed edge as a single + undirected edge in a multigraph. + + Parameters + ---------- + G : graph + The graph to test. + + Returns + ------- + b : bool + A boolean that is True if `G` is a forest. + + Raises + ------ + NetworkXPointlessConcept + If `G` is empty. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_edges_from([(1, 2), (1, 3), (2, 4), (2, 5)]) + >>> nx.is_forest(G) + True + >>> G.add_edge(4, 1) + >>> nx.is_forest(G) + False + + Notes + ----- + In another convention, a directed forest is known as a *polyforest* and + then *forest* corresponds to a *branching*. + + See Also + -------- + is_branching + + """ + if len(G) == 0: + raise nx.exception.NetworkXPointlessConcept("G has no nodes.") + + if G.is_directed(): + components = (G.subgraph(c) for c in nx.weakly_connected_components(G)) + else: + components = (G.subgraph(c) for c in nx.connected_components(G)) + + return all(len(c) - 1 == c.number_of_edges() for c in components) + + +@nx._dispatchable +def is_tree(G): + """ + Returns True if `G` is a tree. + + A tree is a connected graph with no undirected cycles. + + For directed graphs, `G` is a tree if the underlying graph is a tree. The + underlying graph is obtained by treating each directed edge as a single + undirected edge in a multigraph. + + Parameters + ---------- + G : graph + The graph to test. + + Returns + ------- + b : bool + A boolean that is True if `G` is a tree. + + Raises + ------ + NetworkXPointlessConcept + If `G` is empty. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_edges_from([(1, 2), (1, 3), (2, 4), (2, 5)]) + >>> nx.is_tree(G) # n-1 edges + True + >>> G.add_edge(3, 4) + >>> nx.is_tree(G) # n edges + False + + Notes + ----- + In another convention, a directed tree is known as a *polytree* and then + *tree* corresponds to an *arborescence*. + + See Also + -------- + is_arborescence + + """ + if len(G) == 0: + raise nx.exception.NetworkXPointlessConcept("G has no nodes.") + + if G.is_directed(): + is_connected = nx.is_weakly_connected + else: + is_connected = nx.is_connected + + # A connected graph with no cycles has n-1 edges. + return len(G) - 1 == G.number_of_edges() and is_connected(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_branchings.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_branchings.py new file mode 100644 index 0000000000000000000000000000000000000000..e19ddee332b93d8131d48fa7cfc837625b2261f4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_branchings.py @@ -0,0 +1,624 @@ +import math +from operator import itemgetter + +import pytest + +np = pytest.importorskip("numpy") + +import networkx as nx +from networkx.algorithms.tree import branchings, recognition + +# +# Explicitly discussed examples from Edmonds paper. +# + +# Used in Figures A-F. +# +# fmt: off +G_array = np.array([ + # 0 1 2 3 4 5 6 7 8 + [0, 0, 12, 0, 12, 0, 0, 0, 0], # 0 + [4, 0, 0, 0, 0, 13, 0, 0, 0], # 1 + [0, 17, 0, 21, 0, 12, 0, 0, 0], # 2 + [5, 0, 0, 0, 17, 0, 18, 0, 0], # 3 + [0, 0, 0, 0, 0, 0, 0, 12, 0], # 4 + [0, 0, 0, 0, 0, 0, 14, 0, 12], # 5 + [0, 0, 21, 0, 0, 0, 0, 0, 15], # 6 + [0, 0, 0, 19, 0, 0, 15, 0, 0], # 7 + [0, 0, 0, 0, 0, 0, 0, 18, 0], # 8 +], dtype=int) + +# Two copies of the graph from the original paper as disconnected components +G_big_array = np.zeros(np.array(G_array.shape) * 2, dtype=int) +G_big_array[:G_array.shape[0], :G_array.shape[1]] = G_array +G_big_array[G_array.shape[0]:, G_array.shape[1]:] = G_array + +# fmt: on + + +def G1(): + G = nx.from_numpy_array(G_array, create_using=nx.MultiDiGraph) + return G + + +def G2(): + # Now we shift all the weights by -10. + # Should not affect optimal arborescence, but does affect optimal branching. + Garr = G_array.copy() + Garr[np.nonzero(Garr)] -= 10 + G = nx.from_numpy_array(Garr, create_using=nx.MultiDiGraph) + return G + + +# An optimal branching for G1 that is also a spanning arborescence. So it is +# also an optimal spanning arborescence. +# +optimal_arborescence_1 = [ + (0, 2, 12), + (2, 1, 17), + (2, 3, 21), + (1, 5, 13), + (3, 4, 17), + (3, 6, 18), + (6, 8, 15), + (8, 7, 18), +] + +# For G2, the optimal branching of G1 (with shifted weights) is no longer +# an optimal branching, but it is still an optimal spanning arborescence +# (just with shifted weights). An optimal branching for G2 is similar to what +# appears in figure G (this is greedy_subopt_branching_1a below), but with the +# edge (3, 0, 5), which is now (3, 0, -5), removed. Thus, the optimal branching +# is not a spanning arborescence. The code finds optimal_branching_2a. +# An alternative and equivalent branching is optimal_branching_2b. We would +# need to modify the code to iterate through all equivalent optimal branchings. +# +# These are maximal branchings or arborescences. +optimal_branching_2a = [ + (5, 6, 4), + (6, 2, 11), + (6, 8, 5), + (8, 7, 8), + (2, 1, 7), + (2, 3, 11), + (3, 4, 7), +] +optimal_branching_2b = [ + (8, 7, 8), + (7, 3, 9), + (3, 4, 7), + (3, 6, 8), + (6, 2, 11), + (2, 1, 7), + (1, 5, 3), +] +optimal_arborescence_2 = [ + (0, 2, 2), + (2, 1, 7), + (2, 3, 11), + (1, 5, 3), + (3, 4, 7), + (3, 6, 8), + (6, 8, 5), + (8, 7, 8), +] + +# Two suboptimal maximal branchings on G1 obtained from a greedy algorithm. +# 1a matches what is shown in Figure G in Edmonds's paper. +greedy_subopt_branching_1a = [ + (5, 6, 14), + (6, 2, 21), + (6, 8, 15), + (8, 7, 18), + (2, 1, 17), + (2, 3, 21), + (3, 0, 5), + (3, 4, 17), +] +greedy_subopt_branching_1b = [ + (8, 7, 18), + (7, 6, 15), + (6, 2, 21), + (2, 1, 17), + (2, 3, 21), + (1, 5, 13), + (3, 0, 5), + (3, 4, 17), +] + + +def build_branching(edges, double=False): + G = nx.DiGraph() + for u, v, weight in edges: + G.add_edge(u, v, weight=weight) + if double: + G.add_edge(u + 9, v + 9, weight=weight) + return G + + +def sorted_edges(G, attr="weight", default=1): + edges = [(u, v, data.get(attr, default)) for (u, v, data) in G.edges(data=True)] + edges = sorted(edges, key=lambda x: (x[2], x[1], x[0])) + return edges + + +def assert_equal_branchings(G1, G2, attr="weight", default=1): + edges1 = list(G1.edges(data=True)) + edges2 = list(G2.edges(data=True)) + assert len(edges1) == len(edges2) + + # Grab the weights only. + e1 = sorted_edges(G1, attr, default) + e2 = sorted_edges(G2, attr, default) + + for a, b in zip(e1, e2): + assert a[:2] == b[:2] + np.testing.assert_almost_equal(a[2], b[2]) + + +################ + + +def test_optimal_branching1(): + G = build_branching(optimal_arborescence_1) + assert recognition.is_arborescence(G), True + assert branchings.branching_weight(G) == 131 + + +def test_optimal_branching2a(): + G = build_branching(optimal_branching_2a) + assert recognition.is_arborescence(G), True + assert branchings.branching_weight(G) == 53 + + +def test_optimal_branching2b(): + G = build_branching(optimal_branching_2b) + assert recognition.is_arborescence(G), True + assert branchings.branching_weight(G) == 53 + + +def test_optimal_arborescence2(): + G = build_branching(optimal_arborescence_2) + assert recognition.is_arborescence(G), True + assert branchings.branching_weight(G) == 51 + + +def test_greedy_suboptimal_branching1a(): + G = build_branching(greedy_subopt_branching_1a) + assert recognition.is_arborescence(G), True + assert branchings.branching_weight(G) == 128 + + +def test_greedy_suboptimal_branching1b(): + G = build_branching(greedy_subopt_branching_1b) + assert recognition.is_arborescence(G), True + assert branchings.branching_weight(G) == 127 + + +def test_greedy_max1(): + # Standard test. + # + G = G1() + B = branchings.greedy_branching(G) + # There are only two possible greedy branchings. The sorting is such + # that it should equal the second suboptimal branching: 1b. + B_ = build_branching(greedy_subopt_branching_1b) + assert_equal_branchings(B, B_) + + +def test_greedy_branching_kwarg_kind(): + G = G1() + with pytest.raises(nx.NetworkXException, match="Unknown value for `kind`."): + B = branchings.greedy_branching(G, kind="lol") + + +def test_greedy_branching_for_unsortable_nodes(): + G = nx.DiGraph() + G.add_weighted_edges_from([((2, 3), 5, 1), (3, "a", 1), (2, 4, 5)]) + edges = [(u, v, data.get("weight", 1)) for (u, v, data) in G.edges(data=True)] + with pytest.raises(TypeError): + edges.sort(key=itemgetter(2, 0, 1), reverse=True) + B = branchings.greedy_branching(G, kind="max").edges(data=True) + assert list(B) == [ + ((2, 3), 5, {"weight": 1}), + (3, "a", {"weight": 1}), + (2, 4, {"weight": 5}), + ] + + +def test_greedy_max2(): + # Different default weight. + # + G = G1() + del G[1][0][0]["weight"] + B = branchings.greedy_branching(G, default=6) + # Chosen so that edge (3,0,5) is not selected and (1,0,6) is instead. + + edges = [ + (1, 0, 6), + (1, 5, 13), + (7, 6, 15), + (2, 1, 17), + (3, 4, 17), + (8, 7, 18), + (2, 3, 21), + (6, 2, 21), + ] + B_ = build_branching(edges) + assert_equal_branchings(B, B_) + + +def test_greedy_max3(): + # All equal weights. + # + G = G1() + B = branchings.greedy_branching(G, attr=None) + + # This is mostly arbitrary...the output was generated by running the algo. + edges = [ + (2, 1, 1), + (3, 0, 1), + (3, 4, 1), + (5, 8, 1), + (6, 2, 1), + (7, 3, 1), + (7, 6, 1), + (8, 7, 1), + ] + B_ = build_branching(edges) + assert_equal_branchings(B, B_, default=1) + + +def test_greedy_min(): + G = G1() + B = branchings.greedy_branching(G, kind="min") + + edges = [ + (1, 0, 4), + (0, 2, 12), + (0, 4, 12), + (2, 5, 12), + (4, 7, 12), + (5, 8, 12), + (5, 6, 14), + (7, 3, 19), + ] + B_ = build_branching(edges) + assert_equal_branchings(B, B_) + + +def test_edmonds1_maxbranch(): + G = G1() + x = branchings.maximum_branching(G) + x_ = build_branching(optimal_arborescence_1) + assert_equal_branchings(x, x_) + + +def test_edmonds1_maxarbor(): + G = G1() + x = branchings.maximum_spanning_arborescence(G) + x_ = build_branching(optimal_arborescence_1) + assert_equal_branchings(x, x_) + + +def test_edmonds1_minimal_branching(): + # graph will have something like a minimum arborescence but no spanning one + G = nx.from_numpy_array(G_big_array, create_using=nx.DiGraph) + B = branchings.minimal_branching(G) + edges = [ + (3, 0, 5), + (0, 2, 12), + (0, 4, 12), + (2, 5, 12), + (4, 7, 12), + (5, 8, 12), + (5, 6, 14), + (2, 1, 17), + ] + B_ = build_branching(edges, double=True) + assert_equal_branchings(B, B_) + + +def test_edmonds2_maxbranch(): + G = G2() + x = branchings.maximum_branching(G) + x_ = build_branching(optimal_branching_2a) + assert_equal_branchings(x, x_) + + +def test_edmonds2_maxarbor(): + G = G2() + x = branchings.maximum_spanning_arborescence(G) + x_ = build_branching(optimal_arborescence_2) + assert_equal_branchings(x, x_) + + +def test_edmonds2_minarbor(): + G = G1() + x = branchings.minimum_spanning_arborescence(G) + # This was obtained from algorithm. Need to verify it independently. + # Branch weight is: 96 + edges = [ + (3, 0, 5), + (0, 2, 12), + (0, 4, 12), + (2, 5, 12), + (4, 7, 12), + (5, 8, 12), + (5, 6, 14), + (2, 1, 17), + ] + x_ = build_branching(edges) + assert_equal_branchings(x, x_) + + +def test_edmonds3_minbranch1(): + G = G1() + x = branchings.minimum_branching(G) + edges = [] + x_ = build_branching(edges) + assert_equal_branchings(x, x_) + + +def test_edmonds3_minbranch2(): + G = G1() + G.add_edge(8, 9, weight=-10) + x = branchings.minimum_branching(G) + edges = [(8, 9, -10)] + x_ = build_branching(edges) + assert_equal_branchings(x, x_) + + +# Need more tests + + +def test_mst(): + # Make sure we get the same results for undirected graphs. + # Example from: https://en.wikipedia.org/wiki/Kruskal's_algorithm + G = nx.Graph() + edgelist = [ + (0, 3, [("weight", 5)]), + (0, 1, [("weight", 7)]), + (1, 3, [("weight", 9)]), + (1, 2, [("weight", 8)]), + (1, 4, [("weight", 7)]), + (3, 4, [("weight", 15)]), + (3, 5, [("weight", 6)]), + (2, 4, [("weight", 5)]), + (4, 5, [("weight", 8)]), + (4, 6, [("weight", 9)]), + (5, 6, [("weight", 11)]), + ] + G.add_edges_from(edgelist) + G = G.to_directed() + x = branchings.minimum_spanning_arborescence(G) + + edges = [ + ({0, 1}, 7), + ({0, 3}, 5), + ({3, 5}, 6), + ({1, 4}, 7), + ({4, 2}, 5), + ({4, 6}, 9), + ] + + assert x.number_of_edges() == len(edges) + for u, v, d in x.edges(data=True): + assert ({u, v}, d["weight"]) in edges + + +def test_mixed_nodetypes(): + # Smoke test to make sure no TypeError is raised for mixed node types. + G = nx.Graph() + edgelist = [(0, 3, [("weight", 5)]), (0, "1", [("weight", 5)])] + G.add_edges_from(edgelist) + G = G.to_directed() + x = branchings.minimum_spanning_arborescence(G) + + +def test_edmonds1_minbranch(): + # Using -G_array and min should give the same as optimal_arborescence_1, + # but with all edges negative. + edges = [(u, v, -w) for (u, v, w) in optimal_arborescence_1] + + G = nx.from_numpy_array(-G_array, create_using=nx.DiGraph) + + # Quickly make sure max branching is empty. + x = branchings.maximum_branching(G) + x_ = build_branching([]) + assert_equal_branchings(x, x_) + + # Now test the min branching. + x = branchings.minimum_branching(G) + x_ = build_branching(edges) + assert_equal_branchings(x, x_) + + +def test_edge_attribute_preservation_normal_graph(): + # Test that edge attributes are preserved when finding an optimum graph + # using the Edmonds class for normal graphs. + G = nx.Graph() + + edgelist = [ + (0, 1, [("weight", 5), ("otherattr", 1), ("otherattr2", 3)]), + (0, 2, [("weight", 5), ("otherattr", 2), ("otherattr2", 2)]), + (1, 2, [("weight", 6), ("otherattr", 3), ("otherattr2", 1)]), + ] + G.add_edges_from(edgelist) + + B = branchings.maximum_branching(G, preserve_attrs=True) + + assert B[0][1]["otherattr"] == 1 + assert B[0][1]["otherattr2"] == 3 + + +def test_edge_attribute_preservation_multigraph(): + # Test that edge attributes are preserved when finding an optimum graph + # using the Edmonds class for multigraphs. + G = nx.MultiGraph() + + edgelist = [ + (0, 1, [("weight", 5), ("otherattr", 1), ("otherattr2", 3)]), + (0, 2, [("weight", 5), ("otherattr", 2), ("otherattr2", 2)]), + (1, 2, [("weight", 6), ("otherattr", 3), ("otherattr2", 1)]), + ] + G.add_edges_from(edgelist * 2) # Make sure we have duplicate edge paths + + B = branchings.maximum_branching(G, preserve_attrs=True) + + assert B[0][1][0]["otherattr"] == 1 + assert B[0][1][0]["otherattr2"] == 3 + + +def test_edge_attribute_discard(): + # Test that edge attributes are discarded if we do not specify to keep them + G = nx.Graph() + + edgelist = [ + (0, 1, [("weight", 5), ("otherattr", 1), ("otherattr2", 3)]), + (0, 2, [("weight", 5), ("otherattr", 2), ("otherattr2", 2)]), + (1, 2, [("weight", 6), ("otherattr", 3), ("otherattr2", 1)]), + ] + G.add_edges_from(edgelist) + + B = branchings.maximum_branching(G, preserve_attrs=False) + + edge_dict = B[0][1] + with pytest.raises(KeyError): + _ = edge_dict["otherattr"] + + +def test_partition_spanning_arborescence(): + """ + Test that we can generate minimum spanning arborescences which respect the + given partition. + """ + G = nx.from_numpy_array(G_array, create_using=nx.DiGraph) + G[3][0]["partition"] = nx.EdgePartition.EXCLUDED + G[2][3]["partition"] = nx.EdgePartition.INCLUDED + G[7][3]["partition"] = nx.EdgePartition.EXCLUDED + G[0][2]["partition"] = nx.EdgePartition.EXCLUDED + G[6][2]["partition"] = nx.EdgePartition.INCLUDED + + actual_edges = [ + (0, 4, 12), + (1, 0, 4), + (1, 5, 13), + (2, 3, 21), + (4, 7, 12), + (5, 6, 14), + (5, 8, 12), + (6, 2, 21), + ] + + B = branchings.minimum_spanning_arborescence(G, partition="partition") + assert_equal_branchings(build_branching(actual_edges), B) + + +def test_arborescence_iterator_min(): + """ + Tests the arborescence iterator. + + A brute force method found 680 arborescences in this graph. + This test will not verify all of them individually, but will check two + things + + * The iterator returns 680 arborescences + * The weight of the arborescences is non-strictly increasing + + for more information please visit + https://mjschwenne.github.io/2021/06/10/implementing-the-iterators.html + """ + G = nx.from_numpy_array(G_array, create_using=nx.DiGraph) + + arborescence_count = 0 + arborescence_weight = -math.inf + for B in branchings.ArborescenceIterator(G): + arborescence_count += 1 + new_arborescence_weight = B.size(weight="weight") + assert new_arborescence_weight >= arborescence_weight + arborescence_weight = new_arborescence_weight + + assert arborescence_count == 680 + + +def test_arborescence_iterator_max(): + """ + Tests the arborescence iterator. + + A brute force method found 680 arborescences in this graph. + This test will not verify all of them individually, but will check two + things + + * The iterator returns 680 arborescences + * The weight of the arborescences is non-strictly decreasing + + for more information please visit + https://mjschwenne.github.io/2021/06/10/implementing-the-iterators.html + """ + G = nx.from_numpy_array(G_array, create_using=nx.DiGraph) + + arborescence_count = 0 + arborescence_weight = math.inf + for B in branchings.ArborescenceIterator(G, minimum=False): + arborescence_count += 1 + new_arborescence_weight = B.size(weight="weight") + assert new_arborescence_weight <= arborescence_weight + arborescence_weight = new_arborescence_weight + + assert arborescence_count == 680 + + +def test_arborescence_iterator_initial_partition(): + """ + Tests the arborescence iterator with three included edges and three excluded + in the initial partition. + + A brute force method similar to the one used in the above tests found that + there are 16 arborescences which contain the included edges and not the + excluded edges. + """ + G = nx.from_numpy_array(G_array, create_using=nx.DiGraph) + included_edges = [(1, 0), (5, 6), (8, 7)] + excluded_edges = [(0, 2), (3, 6), (1, 5)] + + arborescence_count = 0 + arborescence_weight = -math.inf + for B in branchings.ArborescenceIterator( + G, init_partition=(included_edges, excluded_edges) + ): + arborescence_count += 1 + new_arborescence_weight = B.size(weight="weight") + assert new_arborescence_weight >= arborescence_weight + arborescence_weight = new_arborescence_weight + for e in included_edges: + assert e in B.edges + for e in excluded_edges: + assert e not in B.edges + assert arborescence_count == 16 + + +def test_branchings_with_default_weights(): + """ + Tests that various branching algorithms work on graphs without weights. + For more information, see issue #7279. + """ + graph = nx.erdos_renyi_graph(10, p=0.2, directed=True, seed=123) + + assert all( + "weight" not in d for (u, v, d) in graph.edges(data=True) + ), "test is for graphs without a weight attribute" + + # Calling these functions will modify graph inplace to add weights + # copy the graph to avoid this. + nx.minimum_spanning_arborescence(graph.copy()) + nx.maximum_spanning_arborescence(graph.copy()) + nx.minimum_branching(graph.copy()) + nx.maximum_branching(graph.copy()) + nx.algorithms.tree.minimal_branching(graph.copy()) + nx.algorithms.tree.branching_weight(graph.copy()) + nx.algorithms.tree.greedy_branching(graph.copy()) + + assert all( + "weight" not in d for (u, v, d) in graph.edges(data=True) + ), "The above calls should not modify the initial graph in-place" diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_coding.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_coding.py new file mode 100644 index 0000000000000000000000000000000000000000..26bd4083f52a0cc90b94c6de6d47b2c44e70a079 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_coding.py @@ -0,0 +1,114 @@ +"""Unit tests for the :mod:`~networkx.algorithms.tree.coding` module.""" + +from itertools import product + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + + +class TestPruferSequence: + """Unit tests for the Prüfer sequence encoding and decoding + functions. + + """ + + def test_nontree(self): + with pytest.raises(nx.NotATree): + G = nx.cycle_graph(3) + nx.to_prufer_sequence(G) + + def test_null_graph(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.to_prufer_sequence(nx.null_graph()) + + def test_trivial_graph(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.to_prufer_sequence(nx.trivial_graph()) + + def test_bad_integer_labels(self): + with pytest.raises(KeyError): + T = nx.Graph(nx.utils.pairwise("abc")) + nx.to_prufer_sequence(T) + + def test_encoding(self): + """Tests for encoding a tree as a Prüfer sequence using the + iterative strategy. + + """ + # Example from Wikipedia. + tree = nx.Graph([(0, 3), (1, 3), (2, 3), (3, 4), (4, 5)]) + sequence = nx.to_prufer_sequence(tree) + assert sequence == [3, 3, 3, 4] + + def test_decoding(self): + """Tests for decoding a tree from a Prüfer sequence.""" + # Example from Wikipedia. + sequence = [3, 3, 3, 4] + tree = nx.from_prufer_sequence(sequence) + assert nodes_equal(list(tree), list(range(6))) + edges = [(0, 3), (1, 3), (2, 3), (3, 4), (4, 5)] + assert edges_equal(list(tree.edges()), edges) + + def test_decoding2(self): + # Example from "An Optimal Algorithm for Prufer Codes". + sequence = [2, 4, 0, 1, 3, 3] + tree = nx.from_prufer_sequence(sequence) + assert nodes_equal(list(tree), list(range(8))) + edges = [(0, 1), (0, 4), (1, 3), (2, 4), (2, 5), (3, 6), (3, 7)] + assert edges_equal(list(tree.edges()), edges) + + def test_inverse(self): + """Tests that the encoding and decoding functions are inverses.""" + for T in nx.nonisomorphic_trees(4): + T2 = nx.from_prufer_sequence(nx.to_prufer_sequence(T)) + assert nodes_equal(list(T), list(T2)) + assert edges_equal(list(T.edges()), list(T2.edges())) + + for seq in product(range(4), repeat=2): + seq2 = nx.to_prufer_sequence(nx.from_prufer_sequence(seq)) + assert list(seq) == seq2 + + +class TestNestedTuple: + """Unit tests for the nested tuple encoding and decoding functions.""" + + def test_nontree(self): + with pytest.raises(nx.NotATree): + G = nx.cycle_graph(3) + nx.to_nested_tuple(G, 0) + + def test_unknown_root(self): + with pytest.raises(nx.NodeNotFound): + G = nx.path_graph(2) + nx.to_nested_tuple(G, "bogus") + + def test_encoding(self): + T = nx.full_rary_tree(2, 2**3 - 1) + expected = (((), ()), ((), ())) + actual = nx.to_nested_tuple(T, 0) + assert nodes_equal(expected, actual) + + def test_canonical_form(self): + T = nx.Graph() + T.add_edges_from([(0, 1), (0, 2), (0, 3)]) + T.add_edges_from([(1, 4), (1, 5)]) + T.add_edges_from([(3, 6), (3, 7)]) + root = 0 + actual = nx.to_nested_tuple(T, root, canonical_form=True) + expected = ((), ((), ()), ((), ())) + assert actual == expected + + def test_decoding(self): + balanced = (((), ()), ((), ())) + expected = nx.full_rary_tree(2, 2**3 - 1) + actual = nx.from_nested_tuple(balanced) + assert nx.is_isomorphic(expected, actual) + + def test_sensible_relabeling(self): + balanced = (((), ()), ((), ())) + T = nx.from_nested_tuple(balanced, sensible_relabeling=True) + edges = [(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)] + assert nodes_equal(list(T), list(range(2**3 - 1))) + assert edges_equal(list(T.edges()), edges) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_decomposition.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_decomposition.py new file mode 100644 index 0000000000000000000000000000000000000000..8c376053794537611f46c038ed074eb92b1ba676 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_decomposition.py @@ -0,0 +1,79 @@ +import networkx as nx +from networkx.algorithms.tree.decomposition import junction_tree + + +def test_junction_tree_directed_confounders(): + B = nx.DiGraph() + B.add_edges_from([("A", "C"), ("B", "C"), ("C", "D"), ("C", "E")]) + + G = junction_tree(B) + J = nx.Graph() + J.add_edges_from( + [ + (("C", "E"), ("C",)), + (("C",), ("A", "B", "C")), + (("A", "B", "C"), ("C",)), + (("C",), ("C", "D")), + ] + ) + + assert nx.is_isomorphic(G, J) + + +def test_junction_tree_directed_unconnected_nodes(): + B = nx.DiGraph() + B.add_nodes_from([("A", "B", "C", "D")]) + G = junction_tree(B) + + J = nx.Graph() + J.add_nodes_from([("A", "B", "C", "D")]) + + assert nx.is_isomorphic(G, J) + + +def test_junction_tree_directed_cascade(): + B = nx.DiGraph() + B.add_edges_from([("A", "B"), ("B", "C"), ("C", "D")]) + G = junction_tree(B) + + J = nx.Graph() + J.add_edges_from( + [ + (("A", "B"), ("B",)), + (("B",), ("B", "C")), + (("B", "C"), ("C",)), + (("C",), ("C", "D")), + ] + ) + assert nx.is_isomorphic(G, J) + + +def test_junction_tree_directed_unconnected_edges(): + B = nx.DiGraph() + B.add_edges_from([("A", "B"), ("C", "D"), ("E", "F")]) + G = junction_tree(B) + + J = nx.Graph() + J.add_nodes_from([("A", "B"), ("C", "D"), ("E", "F")]) + + assert nx.is_isomorphic(G, J) + + +def test_junction_tree_undirected(): + B = nx.Graph() + B.add_edges_from([("A", "C"), ("A", "D"), ("B", "C"), ("C", "E")]) + G = junction_tree(B) + + J = nx.Graph() + J.add_edges_from( + [ + (("A", "D"), ("A",)), + (("A",), ("A", "C")), + (("A", "C"), ("C",)), + (("C",), ("B", "C")), + (("B", "C"), ("C",)), + (("C",), ("C", "E")), + ] + ) + + assert nx.is_isomorphic(G, J) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_mst.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_mst.py new file mode 100644 index 0000000000000000000000000000000000000000..f8945a71835dbfa35c0c45259c8c84b653b1f49b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_mst.py @@ -0,0 +1,918 @@ +"""Unit tests for the :mod:`networkx.algorithms.tree.mst` module.""" + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + + +def test_unknown_algorithm(): + with pytest.raises(ValueError): + nx.minimum_spanning_tree(nx.Graph(), algorithm="random") + with pytest.raises( + ValueError, match="random is not a valid choice for an algorithm." + ): + nx.maximum_spanning_edges(nx.Graph(), algorithm="random") + + +class MinimumSpanningTreeTestBase: + """Base class for test classes for minimum spanning tree algorithms. + This class contains some common tests that will be inherited by + subclasses. Each subclass must have a class attribute + :data:`algorithm` that is a string representing the algorithm to + run, as described under the ``algorithm`` keyword argument for the + :func:`networkx.minimum_spanning_edges` function. Subclasses can + then implement any algorithm-specific tests. + """ + + def setup_method(self, method): + """Creates an example graph and stores the expected minimum and + maximum spanning tree edges. + """ + # This stores the class attribute `algorithm` in an instance attribute. + self.algo = self.algorithm + # This example graph comes from Wikipedia: + # https://en.wikipedia.org/wiki/Kruskal's_algorithm + edges = [ + (0, 1, 7), + (0, 3, 5), + (1, 2, 8), + (1, 3, 9), + (1, 4, 7), + (2, 4, 5), + (3, 4, 15), + (3, 5, 6), + (4, 5, 8), + (4, 6, 9), + (5, 6, 11), + ] + self.G = nx.Graph() + self.G.add_weighted_edges_from(edges) + self.minimum_spanning_edgelist = [ + (0, 1, {"weight": 7}), + (0, 3, {"weight": 5}), + (1, 4, {"weight": 7}), + (2, 4, {"weight": 5}), + (3, 5, {"weight": 6}), + (4, 6, {"weight": 9}), + ] + self.maximum_spanning_edgelist = [ + (0, 1, {"weight": 7}), + (1, 2, {"weight": 8}), + (1, 3, {"weight": 9}), + (3, 4, {"weight": 15}), + (4, 6, {"weight": 9}), + (5, 6, {"weight": 11}), + ] + + def test_minimum_edges(self): + edges = nx.minimum_spanning_edges(self.G, algorithm=self.algo) + # Edges from the spanning edges functions don't come in sorted + # orientation, so we need to sort each edge individually. + actual = sorted((min(u, v), max(u, v), d) for u, v, d in edges) + assert edges_equal(actual, self.minimum_spanning_edgelist) + + def test_maximum_edges(self): + edges = nx.maximum_spanning_edges(self.G, algorithm=self.algo) + # Edges from the spanning edges functions don't come in sorted + # orientation, so we need to sort each edge individually. + actual = sorted((min(u, v), max(u, v), d) for u, v, d in edges) + assert edges_equal(actual, self.maximum_spanning_edgelist) + + def test_without_data(self): + edges = nx.minimum_spanning_edges(self.G, algorithm=self.algo, data=False) + # Edges from the spanning edges functions don't come in sorted + # orientation, so we need to sort each edge individually. + actual = sorted((min(u, v), max(u, v)) for u, v in edges) + expected = [(u, v) for u, v, d in self.minimum_spanning_edgelist] + assert edges_equal(actual, expected) + + def test_nan_weights(self): + # Edge weights NaN never appear in the spanning tree. see #2164 + G = self.G + G.add_edge(0, 12, weight=float("nan")) + edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, data=False, ignore_nan=True + ) + actual = sorted((min(u, v), max(u, v)) for u, v in edges) + expected = [(u, v) for u, v, d in self.minimum_spanning_edgelist] + assert edges_equal(actual, expected) + # Now test for raising exception + edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, data=False, ignore_nan=False + ) + with pytest.raises(ValueError): + list(edges) + # test default for ignore_nan as False + edges = nx.minimum_spanning_edges(G, algorithm=self.algo, data=False) + with pytest.raises(ValueError): + list(edges) + + def test_nan_weights_MultiGraph(self): + G = nx.MultiGraph() + G.add_edge(0, 12, weight=float("nan")) + edges = nx.minimum_spanning_edges( + G, algorithm="prim", data=False, ignore_nan=False + ) + with pytest.raises(ValueError): + list(edges) + # test default for ignore_nan as False + edges = nx.minimum_spanning_edges(G, algorithm="prim", data=False) + with pytest.raises(ValueError): + list(edges) + + def test_nan_weights_order(self): + # now try again with a nan edge at the beginning of G.nodes + edges = [ + (0, 1, 7), + (0, 3, 5), + (1, 2, 8), + (1, 3, 9), + (1, 4, 7), + (2, 4, 5), + (3, 4, 15), + (3, 5, 6), + (4, 5, 8), + (4, 6, 9), + (5, 6, 11), + ] + G = nx.Graph() + G.add_weighted_edges_from([(u + 1, v + 1, wt) for u, v, wt in edges]) + G.add_edge(0, 7, weight=float("nan")) + edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, data=False, ignore_nan=True + ) + actual = sorted((min(u, v), max(u, v)) for u, v in edges) + shift = [(u + 1, v + 1) for u, v, d in self.minimum_spanning_edgelist] + assert edges_equal(actual, shift) + + def test_isolated_node(self): + # now try again with an isolated node + edges = [ + (0, 1, 7), + (0, 3, 5), + (1, 2, 8), + (1, 3, 9), + (1, 4, 7), + (2, 4, 5), + (3, 4, 15), + (3, 5, 6), + (4, 5, 8), + (4, 6, 9), + (5, 6, 11), + ] + G = nx.Graph() + G.add_weighted_edges_from([(u + 1, v + 1, wt) for u, v, wt in edges]) + G.add_node(0) + edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, data=False, ignore_nan=True + ) + actual = sorted((min(u, v), max(u, v)) for u, v in edges) + shift = [(u + 1, v + 1) for u, v, d in self.minimum_spanning_edgelist] + assert edges_equal(actual, shift) + + def test_minimum_tree(self): + T = nx.minimum_spanning_tree(self.G, algorithm=self.algo) + actual = sorted(T.edges(data=True)) + assert edges_equal(actual, self.minimum_spanning_edgelist) + + def test_maximum_tree(self): + T = nx.maximum_spanning_tree(self.G, algorithm=self.algo) + actual = sorted(T.edges(data=True)) + assert edges_equal(actual, self.maximum_spanning_edgelist) + + def test_disconnected(self): + G = nx.Graph([(0, 1, {"weight": 1}), (2, 3, {"weight": 2})]) + T = nx.minimum_spanning_tree(G, algorithm=self.algo) + assert nodes_equal(list(T), list(range(4))) + assert edges_equal(list(T.edges()), [(0, 1), (2, 3)]) + + def test_empty_graph(self): + G = nx.empty_graph(3) + T = nx.minimum_spanning_tree(G, algorithm=self.algo) + assert nodes_equal(sorted(T), list(range(3))) + assert T.number_of_edges() == 0 + + def test_attributes(self): + G = nx.Graph() + G.add_edge(1, 2, weight=1, color="red", distance=7) + G.add_edge(2, 3, weight=1, color="green", distance=2) + G.add_edge(1, 3, weight=10, color="blue", distance=1) + G.graph["foo"] = "bar" + T = nx.minimum_spanning_tree(G, algorithm=self.algo) + assert T.graph == G.graph + assert nodes_equal(T, G) + for u, v in T.edges(): + assert T.adj[u][v] == G.adj[u][v] + + def test_weight_attribute(self): + G = nx.Graph() + G.add_edge(0, 1, weight=1, distance=7) + G.add_edge(0, 2, weight=30, distance=1) + G.add_edge(1, 2, weight=1, distance=1) + G.add_node(3) + T = nx.minimum_spanning_tree(G, algorithm=self.algo, weight="distance") + assert nodes_equal(sorted(T), list(range(4))) + assert edges_equal(sorted(T.edges()), [(0, 2), (1, 2)]) + T = nx.maximum_spanning_tree(G, algorithm=self.algo, weight="distance") + assert nodes_equal(sorted(T), list(range(4))) + assert edges_equal(sorted(T.edges()), [(0, 1), (0, 2)]) + + +class TestBoruvka(MinimumSpanningTreeTestBase): + """Unit tests for computing a minimum (or maximum) spanning tree + using Borůvka's algorithm. + """ + + algorithm = "boruvka" + + def test_unicode_name(self): + """Tests that using a Unicode string can correctly indicate + Borůvka's algorithm. + """ + edges = nx.minimum_spanning_edges(self.G, algorithm="borůvka") + # Edges from the spanning edges functions don't come in sorted + # orientation, so we need to sort each edge individually. + actual = sorted((min(u, v), max(u, v), d) for u, v, d in edges) + assert edges_equal(actual, self.minimum_spanning_edgelist) + + +class MultigraphMSTTestBase(MinimumSpanningTreeTestBase): + # Abstract class + + def test_multigraph_keys_min(self): + """Tests that the minimum spanning edges of a multigraph + preserves edge keys. + """ + G = nx.MultiGraph() + G.add_edge(0, 1, key="a", weight=2) + G.add_edge(0, 1, key="b", weight=1) + min_edges = nx.minimum_spanning_edges + mst_edges = min_edges(G, algorithm=self.algo, data=False) + assert edges_equal([(0, 1, "b")], list(mst_edges)) + + def test_multigraph_keys_max(self): + """Tests that the maximum spanning edges of a multigraph + preserves edge keys. + """ + G = nx.MultiGraph() + G.add_edge(0, 1, key="a", weight=2) + G.add_edge(0, 1, key="b", weight=1) + max_edges = nx.maximum_spanning_edges + mst_edges = max_edges(G, algorithm=self.algo, data=False) + assert edges_equal([(0, 1, "a")], list(mst_edges)) + + +class TestKruskal(MultigraphMSTTestBase): + """Unit tests for computing a minimum (or maximum) spanning tree + using Kruskal's algorithm. + """ + + algorithm = "kruskal" + + def test_key_data_bool(self): + """Tests that the keys and data values are included in + MST edges based on whether keys and data parameters are + true or false""" + G = nx.MultiGraph() + G.add_edge(1, 2, key=1, weight=2) + G.add_edge(1, 2, key=2, weight=3) + G.add_edge(3, 2, key=1, weight=2) + G.add_edge(3, 1, key=1, weight=4) + + # keys are included and data is not included + mst_edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, keys=True, data=False + ) + assert edges_equal([(1, 2, 1), (2, 3, 1)], list(mst_edges)) + + # keys are not included and data is included + mst_edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, keys=False, data=True + ) + assert edges_equal( + [(1, 2, {"weight": 2}), (2, 3, {"weight": 2})], list(mst_edges) + ) + + # both keys and data are not included + mst_edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, keys=False, data=False + ) + assert edges_equal([(1, 2), (2, 3)], list(mst_edges)) + + # both keys and data are included + mst_edges = nx.minimum_spanning_edges( + G, algorithm=self.algo, keys=True, data=True + ) + assert edges_equal( + [(1, 2, 1, {"weight": 2}), (2, 3, 1, {"weight": 2})], list(mst_edges) + ) + + +class TestPrim(MultigraphMSTTestBase): + """Unit tests for computing a minimum (or maximum) spanning tree + using Prim's algorithm. + """ + + algorithm = "prim" + + def test_prim_mst_edges_simple_graph(self): + H = nx.Graph() + H.add_edge(1, 2, key=2, weight=3) + H.add_edge(3, 2, key=1, weight=2) + H.add_edge(3, 1, key=1, weight=4) + + mst_edges = nx.minimum_spanning_edges(H, algorithm=self.algo, ignore_nan=True) + assert edges_equal( + [(1, 2, {"key": 2, "weight": 3}), (2, 3, {"key": 1, "weight": 2})], + list(mst_edges), + ) + + def test_ignore_nan(self): + """Tests that the edges with NaN weights are ignored or + raise an Error based on ignore_nan is true or false""" + H = nx.MultiGraph() + H.add_edge(1, 2, key=1, weight=float("nan")) + H.add_edge(1, 2, key=2, weight=3) + H.add_edge(3, 2, key=1, weight=2) + H.add_edge(3, 1, key=1, weight=4) + + # NaN weight edges are ignored when ignore_nan=True + mst_edges = nx.minimum_spanning_edges(H, algorithm=self.algo, ignore_nan=True) + assert edges_equal( + [(1, 2, 2, {"weight": 3}), (2, 3, 1, {"weight": 2})], list(mst_edges) + ) + + # NaN weight edges raise Error when ignore_nan=False + with pytest.raises(ValueError): + list(nx.minimum_spanning_edges(H, algorithm=self.algo, ignore_nan=False)) + + def test_multigraph_keys_tree(self): + G = nx.MultiGraph() + G.add_edge(0, 1, key="a", weight=2) + G.add_edge(0, 1, key="b", weight=1) + T = nx.minimum_spanning_tree(G, algorithm=self.algo) + assert edges_equal([(0, 1, 1)], list(T.edges(data="weight"))) + + def test_multigraph_keys_tree_max(self): + G = nx.MultiGraph() + G.add_edge(0, 1, key="a", weight=2) + G.add_edge(0, 1, key="b", weight=1) + T = nx.maximum_spanning_tree(G, algorithm=self.algo) + assert edges_equal([(0, 1, 2)], list(T.edges(data="weight"))) + + +class TestSpanningTreeIterator: + """ + Tests the spanning tree iterator on the example graph in the 2005 Sörensen + and Janssens paper An Algorithm to Generate all Spanning Trees of a Graph in + Order of Increasing Cost + """ + + def setup_method(self): + # Original Graph + edges = [(0, 1, 5), (1, 2, 4), (1, 4, 6), (2, 3, 5), (2, 4, 7), (3, 4, 3)] + self.G = nx.Graph() + self.G.add_weighted_edges_from(edges) + # List of lists of spanning trees in increasing order + self.spanning_trees = [ + # 1, MST, cost = 17 + [ + (0, 1, {"weight": 5}), + (1, 2, {"weight": 4}), + (2, 3, {"weight": 5}), + (3, 4, {"weight": 3}), + ], + # 2, cost = 18 + [ + (0, 1, {"weight": 5}), + (1, 2, {"weight": 4}), + (1, 4, {"weight": 6}), + (3, 4, {"weight": 3}), + ], + # 3, cost = 19 + [ + (0, 1, {"weight": 5}), + (1, 4, {"weight": 6}), + (2, 3, {"weight": 5}), + (3, 4, {"weight": 3}), + ], + # 4, cost = 19 + [ + (0, 1, {"weight": 5}), + (1, 2, {"weight": 4}), + (2, 4, {"weight": 7}), + (3, 4, {"weight": 3}), + ], + # 5, cost = 20 + [ + (0, 1, {"weight": 5}), + (1, 2, {"weight": 4}), + (1, 4, {"weight": 6}), + (2, 3, {"weight": 5}), + ], + # 6, cost = 21 + [ + (0, 1, {"weight": 5}), + (1, 4, {"weight": 6}), + (2, 4, {"weight": 7}), + (3, 4, {"weight": 3}), + ], + # 7, cost = 21 + [ + (0, 1, {"weight": 5}), + (1, 2, {"weight": 4}), + (2, 3, {"weight": 5}), + (2, 4, {"weight": 7}), + ], + # 8, cost = 23 + [ + (0, 1, {"weight": 5}), + (1, 4, {"weight": 6}), + (2, 3, {"weight": 5}), + (2, 4, {"weight": 7}), + ], + ] + + def test_minimum_spanning_tree_iterator(self): + """ + Tests that the spanning trees are correctly returned in increasing order + """ + tree_index = 0 + for tree in nx.SpanningTreeIterator(self.G): + actual = sorted(tree.edges(data=True)) + assert edges_equal(actual, self.spanning_trees[tree_index]) + tree_index += 1 + + def test_maximum_spanning_tree_iterator(self): + """ + Tests that the spanning trees are correctly returned in decreasing order + """ + tree_index = 7 + for tree in nx.SpanningTreeIterator(self.G, minimum=False): + actual = sorted(tree.edges(data=True)) + assert edges_equal(actual, self.spanning_trees[tree_index]) + tree_index -= 1 + + +class TestSpanningTreeMultiGraphIterator: + """ + Uses the same graph as the above class but with an added edge of twice the weight. + """ + + def setup_method(self): + # New graph + edges = [ + (0, 1, 5), + (0, 1, 10), + (1, 2, 4), + (1, 2, 8), + (1, 4, 6), + (1, 4, 12), + (2, 3, 5), + (2, 3, 10), + (2, 4, 7), + (2, 4, 14), + (3, 4, 3), + (3, 4, 6), + ] + self.G = nx.MultiGraph() + self.G.add_weighted_edges_from(edges) + + # There are 128 trees. I'd rather not list all 128 here, and computing them + # on such a small graph actually doesn't take that long. + from itertools import combinations + + self.spanning_trees = [] + for e in combinations(self.G.edges, 4): + tree = self.G.edge_subgraph(e) + if nx.is_tree(tree): + self.spanning_trees.append(sorted(tree.edges(keys=True, data=True))) + + def test_minimum_spanning_tree_iterator_multigraph(self): + """ + Tests that the spanning trees are correctly returned in increasing order + """ + tree_index = 0 + last_weight = 0 + for tree in nx.SpanningTreeIterator(self.G): + actual = sorted(tree.edges(keys=True, data=True)) + weight = sum([e[3]["weight"] for e in actual]) + assert actual in self.spanning_trees + assert weight >= last_weight + tree_index += 1 + + def test_maximum_spanning_tree_iterator_multigraph(self): + """ + Tests that the spanning trees are correctly returned in decreasing order + """ + tree_index = 127 + # Maximum weight tree is 46 + last_weight = 50 + for tree in nx.SpanningTreeIterator(self.G, minimum=False): + actual = sorted(tree.edges(keys=True, data=True)) + weight = sum([e[3]["weight"] for e in actual]) + assert actual in self.spanning_trees + assert weight <= last_weight + tree_index -= 1 + + +def test_random_spanning_tree_multiplicative_small(): + """ + Using a fixed seed, sample one tree for repeatability. + """ + from math import exp + + pytest.importorskip("scipy") + + gamma = { + (0, 1): -0.6383, + (0, 2): -0.6827, + (0, 5): 0, + (1, 2): -1.0781, + (1, 4): 0, + (2, 3): 0, + (5, 3): -0.2820, + (5, 4): -0.3327, + (4, 3): -0.9927, + } + + # The undirected support of gamma + G = nx.Graph() + for u, v in gamma: + G.add_edge(u, v, lambda_key=exp(gamma[(u, v)])) + + solution_edges = [(2, 3), (3, 4), (0, 5), (5, 4), (4, 1)] + solution = nx.Graph() + solution.add_edges_from(solution_edges) + + sampled_tree = nx.random_spanning_tree(G, "lambda_key", seed=42) + + assert nx.utils.edges_equal(solution.edges, sampled_tree.edges) + + +@pytest.mark.slow +def test_random_spanning_tree_multiplicative_large(): + """ + Sample many trees from the distribution created in the last test + """ + from math import exp + from random import Random + + pytest.importorskip("numpy") + stats = pytest.importorskip("scipy.stats") + + gamma = { + (0, 1): -0.6383, + (0, 2): -0.6827, + (0, 5): 0, + (1, 2): -1.0781, + (1, 4): 0, + (2, 3): 0, + (5, 3): -0.2820, + (5, 4): -0.3327, + (4, 3): -0.9927, + } + + # The undirected support of gamma + G = nx.Graph() + for u, v in gamma: + G.add_edge(u, v, lambda_key=exp(gamma[(u, v)])) + + # Find the multiplicative weight for each tree. + total_weight = 0 + tree_expected = {} + for t in nx.SpanningTreeIterator(G): + # Find the multiplicative weight of the spanning tree + weight = 1 + for u, v, d in t.edges(data="lambda_key"): + weight *= d + tree_expected[t] = weight + total_weight += weight + + # Assert that every tree has an entry in the expected distribution + assert len(tree_expected) == 75 + + # Set the sample size and then calculate the expected number of times we + # expect to see each tree. This test uses a near minimum sample size where + # the most unlikely tree has an expected frequency of 5.15. + # (Minimum required is 5) + # + # Here we also initialize the tree_actual dict so that we know the keys + # match between the two. We will later take advantage of the fact that since + # python 3.7 dict order is guaranteed so the expected and actual data will + # have the same order. + sample_size = 1200 + tree_actual = {} + for t in tree_expected: + tree_expected[t] = (tree_expected[t] / total_weight) * sample_size + tree_actual[t] = 0 + + # Sample the spanning trees + # + # Assert that they are actually trees and record which of the 75 trees we + # have sampled. + # + # For repeatability, we want to take advantage of the decorators in NetworkX + # to randomly sample the same sample each time. However, if we pass in a + # constant seed to sample_spanning_tree we will get the same tree each time. + # Instead, we can create our own random number generator with a fixed seed + # and pass those into sample_spanning_tree. + rng = Random(37) + for _ in range(sample_size): + sampled_tree = nx.random_spanning_tree(G, "lambda_key", seed=rng) + assert nx.is_tree(sampled_tree) + + for t in tree_expected: + if nx.utils.edges_equal(t.edges, sampled_tree.edges): + tree_actual[t] += 1 + break + + # Conduct a Chi squared test to see if the actual distribution matches the + # expected one at an alpha = 0.05 significance level. + # + # H_0: The distribution of trees in tree_actual matches the normalized product + # of the edge weights in the tree. + # + # H_a: The distribution of trees in tree_actual follows some other + # distribution of spanning trees. + _, p = stats.chisquare(list(tree_actual.values()), list(tree_expected.values())) + + # Assert that p is greater than the significance level so that we do not + # reject the null hypothesis + assert not p < 0.05 + + +def test_random_spanning_tree_additive_small(): + """ + Sample a single spanning tree from the additive method. + """ + pytest.importorskip("scipy") + + edges = { + (0, 1): 1, + (0, 2): 1, + (0, 5): 3, + (1, 2): 2, + (1, 4): 3, + (2, 3): 3, + (5, 3): 4, + (5, 4): 5, + (4, 3): 4, + } + + # Build the graph + G = nx.Graph() + for u, v in edges: + G.add_edge(u, v, weight=edges[(u, v)]) + + solution_edges = [(0, 2), (1, 2), (2, 3), (3, 4), (3, 5)] + solution = nx.Graph() + solution.add_edges_from(solution_edges) + + sampled_tree = nx.random_spanning_tree( + G, weight="weight", multiplicative=False, seed=37 + ) + + assert nx.utils.edges_equal(solution.edges, sampled_tree.edges) + + +@pytest.mark.slow +def test_random_spanning_tree_additive_large(): + """ + Sample many spanning trees from the additive method. + """ + from random import Random + + pytest.importorskip("numpy") + stats = pytest.importorskip("scipy.stats") + + edges = { + (0, 1): 1, + (0, 2): 1, + (0, 5): 3, + (1, 2): 2, + (1, 4): 3, + (2, 3): 3, + (5, 3): 4, + (5, 4): 5, + (4, 3): 4, + } + + # Build the graph + G = nx.Graph() + for u, v in edges: + G.add_edge(u, v, weight=edges[(u, v)]) + + # Find the additive weight for each tree. + total_weight = 0 + tree_expected = {} + for t in nx.SpanningTreeIterator(G): + # Find the multiplicative weight of the spanning tree + weight = 0 + for u, v, d in t.edges(data="weight"): + weight += d + tree_expected[t] = weight + total_weight += weight + + # Assert that every tree has an entry in the expected distribution + assert len(tree_expected) == 75 + + # Set the sample size and then calculate the expected number of times we + # expect to see each tree. This test uses a near minimum sample size where + # the most unlikely tree has an expected frequency of 5.07. + # (Minimum required is 5) + # + # Here we also initialize the tree_actual dict so that we know the keys + # match between the two. We will later take advantage of the fact that since + # python 3.7 dict order is guaranteed so the expected and actual data will + # have the same order. + sample_size = 500 + tree_actual = {} + for t in tree_expected: + tree_expected[t] = (tree_expected[t] / total_weight) * sample_size + tree_actual[t] = 0 + + # Sample the spanning trees + # + # Assert that they are actually trees and record which of the 75 trees we + # have sampled. + # + # For repeatability, we want to take advantage of the decorators in NetworkX + # to randomly sample the same sample each time. However, if we pass in a + # constant seed to sample_spanning_tree we will get the same tree each time. + # Instead, we can create our own random number generator with a fixed seed + # and pass those into sample_spanning_tree. + rng = Random(37) + for _ in range(sample_size): + sampled_tree = nx.random_spanning_tree( + G, "weight", multiplicative=False, seed=rng + ) + assert nx.is_tree(sampled_tree) + + for t in tree_expected: + if nx.utils.edges_equal(t.edges, sampled_tree.edges): + tree_actual[t] += 1 + break + + # Conduct a Chi squared test to see if the actual distribution matches the + # expected one at an alpha = 0.05 significance level. + # + # H_0: The distribution of trees in tree_actual matches the normalized product + # of the edge weights in the tree. + # + # H_a: The distribution of trees in tree_actual follows some other + # distribution of spanning trees. + _, p = stats.chisquare(list(tree_actual.values()), list(tree_expected.values())) + + # Assert that p is greater than the significance level so that we do not + # reject the null hypothesis + assert not p < 0.05 + + +def test_random_spanning_tree_empty_graph(): + G = nx.Graph() + rst = nx.tree.random_spanning_tree(G) + assert len(rst.nodes) == 0 + assert len(rst.edges) == 0 + + +def test_random_spanning_tree_single_node_graph(): + G = nx.Graph() + G.add_node(0) + rst = nx.tree.random_spanning_tree(G) + assert len(rst.nodes) == 1 + assert len(rst.edges) == 0 + + +def test_random_spanning_tree_single_node_loop(): + G = nx.Graph() + G.add_node(0) + G.add_edge(0, 0) + rst = nx.tree.random_spanning_tree(G) + assert len(rst.nodes) == 1 + assert len(rst.edges) == 0 + + +class TestNumberSpanningTrees: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + sp = pytest.importorskip("scipy") + + def test_nst_disconnected(self): + G = nx.empty_graph(2) + assert np.isclose(nx.number_of_spanning_trees(G), 0) + + def test_nst_no_nodes(self): + G = nx.Graph() + with pytest.raises(nx.NetworkXPointlessConcept): + nx.number_of_spanning_trees(G) + + def test_nst_weight(self): + G = nx.Graph() + G.add_edge(1, 2, weight=1) + G.add_edge(1, 3, weight=1) + G.add_edge(2, 3, weight=2) + # weights are ignored + assert np.isclose(nx.number_of_spanning_trees(G), 3) + # including weight + assert np.isclose(nx.number_of_spanning_trees(G, weight="weight"), 5) + + def test_nst_negative_weight(self): + G = nx.Graph() + G.add_edge(1, 2, weight=1) + G.add_edge(1, 3, weight=-1) + G.add_edge(2, 3, weight=-2) + # weights are ignored + assert np.isclose(nx.number_of_spanning_trees(G), 3) + # including weight + assert np.isclose(nx.number_of_spanning_trees(G, weight="weight"), -1) + + def test_nst_selfloop(self): + # self-loops are ignored + G = nx.complete_graph(3) + G.add_edge(1, 1) + assert np.isclose(nx.number_of_spanning_trees(G), 3) + + def test_nst_multigraph(self): + G = nx.MultiGraph() + G.add_edge(1, 2) + G.add_edge(1, 2) + G.add_edge(1, 3) + G.add_edge(2, 3) + assert np.isclose(nx.number_of_spanning_trees(G), 5) + + def test_nst_complete_graph(self): + # this is known as Cayley's formula + N = 5 + G = nx.complete_graph(N) + assert np.isclose(nx.number_of_spanning_trees(G), N ** (N - 2)) + + def test_nst_path_graph(self): + G = nx.path_graph(5) + assert np.isclose(nx.number_of_spanning_trees(G), 1) + + def test_nst_cycle_graph(self): + G = nx.cycle_graph(5) + assert np.isclose(nx.number_of_spanning_trees(G), 5) + + def test_nst_directed_noroot(self): + G = nx.empty_graph(3, create_using=nx.MultiDiGraph) + with pytest.raises(nx.NetworkXError): + nx.number_of_spanning_trees(G) + + def test_nst_directed_root_not_exist(self): + G = nx.empty_graph(3, create_using=nx.MultiDiGraph) + with pytest.raises(nx.NetworkXError): + nx.number_of_spanning_trees(G, root=42) + + def test_nst_directed_not_weak_connected(self): + G = nx.DiGraph() + G.add_edge(1, 2) + G.add_edge(3, 4) + assert np.isclose(nx.number_of_spanning_trees(G, root=1), 0) + + def test_nst_directed_cycle_graph(self): + G = nx.DiGraph() + G = nx.cycle_graph(7, G) + assert np.isclose(nx.number_of_spanning_trees(G, root=0), 1) + + def test_nst_directed_complete_graph(self): + G = nx.DiGraph() + G = nx.complete_graph(7, G) + assert np.isclose(nx.number_of_spanning_trees(G, root=0), 7**5) + + def test_nst_directed_multi(self): + G = nx.MultiDiGraph() + G = nx.cycle_graph(3, G) + G.add_edge(1, 2) + assert np.isclose(nx.number_of_spanning_trees(G, root=0), 2) + + def test_nst_directed_selfloop(self): + G = nx.MultiDiGraph() + G = nx.cycle_graph(3, G) + G.add_edge(1, 1) + assert np.isclose(nx.number_of_spanning_trees(G, root=0), 1) + + def test_nst_directed_weak_connected(self): + G = nx.MultiDiGraph() + G = nx.cycle_graph(3, G) + G.remove_edge(1, 2) + assert np.isclose(nx.number_of_spanning_trees(G, root=0), 0) + + def test_nst_directed_weighted(self): + # from root=1: + # arborescence 1: 1->2, 1->3, weight=2*1 + # arborescence 2: 1->2, 2->3, weight=2*3 + G = nx.DiGraph() + G.add_edge(1, 2, weight=2) + G.add_edge(1, 3, weight=1) + G.add_edge(2, 3, weight=3) + Nst = nx.number_of_spanning_trees(G, root=1, weight="weight") + assert np.isclose(Nst, 8) + Nst = nx.number_of_spanning_trees(G, root=2, weight="weight") + assert np.isclose(Nst, 0) + Nst = nx.number_of_spanning_trees(G, root=3, weight="weight") + assert np.isclose(Nst, 0) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_operations.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_operations.py new file mode 100644 index 0000000000000000000000000000000000000000..284d94e2e5059de267b5ea47f6012a42c6ac4639 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_operations.py @@ -0,0 +1,53 @@ +from itertools import chain + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + + +def _check_custom_label_attribute(input_trees, res_tree, label_attribute): + res_attr_dict = nx.get_node_attributes(res_tree, label_attribute) + res_attr_set = set(res_attr_dict.values()) + input_label = (tree for tree, root in input_trees) + input_label_set = set(chain.from_iterable(input_label)) + return res_attr_set == input_label_set + + +def test_empty_sequence(): + """Joining the empty sequence results in the tree with one node.""" + T = nx.join_trees([]) + assert len(T) == 1 + assert T.number_of_edges() == 0 + + +def test_single(): + """Joining just one tree yields a tree with one more node.""" + T = nx.empty_graph(1) + trees = [(T, 0)] + actual_with_label = nx.join_trees(trees, label_attribute="custom_label") + expected = nx.path_graph(2) + assert nodes_equal(list(expected), list(actual_with_label)) + assert edges_equal(list(expected.edges()), list(actual_with_label.edges())) + + +def test_basic(): + """Joining multiple subtrees at a root node.""" + trees = [(nx.full_rary_tree(2, 2**2 - 1), 0) for i in range(2)] + expected = nx.full_rary_tree(2, 2**3 - 1) + actual = nx.join_trees(trees, label_attribute="old_labels") + assert nx.is_isomorphic(actual, expected) + assert _check_custom_label_attribute(trees, actual, "old_labels") + + actual_without_label = nx.join_trees(trees) + assert nx.is_isomorphic(actual_without_label, expected) + # check that no labels were stored + assert all(not data for _, data in actual_without_label.nodes(data=True)) + + +def test_first_label(): + """Test the functionality of the first_label argument.""" + T1 = nx.path_graph(3) + T2 = nx.path_graph(2) + actual = nx.join_trees([(T1, 0), (T2, 0)], first_label=10) + expected_nodes = set(range(10, 16)) + assert set(actual.nodes()) == expected_nodes + assert set(actual.neighbors(10)) == {11, 14} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_recognition.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_recognition.py new file mode 100644 index 0000000000000000000000000000000000000000..105f5a89e9b10d37d1cc140880a66bc860d2e9f8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/algorithms/tree/tests/test_recognition.py @@ -0,0 +1,174 @@ +import pytest + +import networkx as nx + + +class TestTreeRecognition: + graph = nx.Graph + multigraph = nx.MultiGraph + + @classmethod + def setup_class(cls): + cls.T1 = cls.graph() + + cls.T2 = cls.graph() + cls.T2.add_node(1) + + cls.T3 = cls.graph() + cls.T3.add_nodes_from(range(5)) + edges = [(i, i + 1) for i in range(4)] + cls.T3.add_edges_from(edges) + + cls.T5 = cls.multigraph() + cls.T5.add_nodes_from(range(5)) + edges = [(i, i + 1) for i in range(4)] + cls.T5.add_edges_from(edges) + + cls.T6 = cls.graph() + cls.T6.add_nodes_from([6, 7]) + cls.T6.add_edge(6, 7) + + cls.F1 = nx.compose(cls.T6, cls.T3) + + cls.N4 = cls.graph() + cls.N4.add_node(1) + cls.N4.add_edge(1, 1) + + cls.N5 = cls.graph() + cls.N5.add_nodes_from(range(5)) + + cls.N6 = cls.graph() + cls.N6.add_nodes_from(range(3)) + cls.N6.add_edges_from([(0, 1), (1, 2), (2, 0)]) + + cls.NF1 = nx.compose(cls.T6, cls.N6) + + def test_null_tree(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.is_tree(self.graph()) + + def test_null_tree2(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.is_tree(self.multigraph()) + + def test_null_forest(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.is_forest(self.graph()) + + def test_null_forest2(self): + with pytest.raises(nx.NetworkXPointlessConcept): + nx.is_forest(self.multigraph()) + + def test_is_tree(self): + assert nx.is_tree(self.T2) + assert nx.is_tree(self.T3) + assert nx.is_tree(self.T5) + + def test_is_not_tree(self): + assert not nx.is_tree(self.N4) + assert not nx.is_tree(self.N5) + assert not nx.is_tree(self.N6) + + def test_is_forest(self): + assert nx.is_forest(self.T2) + assert nx.is_forest(self.T3) + assert nx.is_forest(self.T5) + assert nx.is_forest(self.F1) + assert nx.is_forest(self.N5) + + def test_is_not_forest(self): + assert not nx.is_forest(self.N4) + assert not nx.is_forest(self.N6) + assert not nx.is_forest(self.NF1) + + +class TestDirectedTreeRecognition(TestTreeRecognition): + graph = nx.DiGraph + multigraph = nx.MultiDiGraph + + +def test_disconnected_graph(): + # https://github.com/networkx/networkx/issues/1144 + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (2, 0), (3, 4)]) + assert not nx.is_tree(G) + + G = nx.DiGraph() + G.add_edges_from([(0, 1), (1, 2), (2, 0), (3, 4)]) + assert not nx.is_tree(G) + + +def test_dag_nontree(): + G = nx.DiGraph() + G.add_edges_from([(0, 1), (0, 2), (1, 2)]) + assert not nx.is_tree(G) + assert nx.is_directed_acyclic_graph(G) + + +def test_multicycle(): + G = nx.MultiDiGraph() + G.add_edges_from([(0, 1), (0, 1)]) + assert not nx.is_tree(G) + assert nx.is_directed_acyclic_graph(G) + + +def test_emptybranch(): + G = nx.DiGraph() + G.add_nodes_from(range(10)) + assert nx.is_branching(G) + assert not nx.is_arborescence(G) + + +def test_is_branching_empty_graph_raises(): + G = nx.DiGraph() + with pytest.raises(nx.NetworkXPointlessConcept, match="G has no nodes."): + nx.is_branching(G) + + +def test_path(): + G = nx.DiGraph() + nx.add_path(G, range(5)) + assert nx.is_branching(G) + assert nx.is_arborescence(G) + + +def test_notbranching1(): + # Acyclic violation. + G = nx.MultiDiGraph() + G.add_nodes_from(range(10)) + G.add_edges_from([(0, 1), (1, 0)]) + assert not nx.is_branching(G) + assert not nx.is_arborescence(G) + + +def test_notbranching2(): + # In-degree violation. + G = nx.MultiDiGraph() + G.add_nodes_from(range(10)) + G.add_edges_from([(0, 1), (0, 2), (3, 2)]) + assert not nx.is_branching(G) + assert not nx.is_arborescence(G) + + +def test_notarborescence1(): + # Not an arborescence due to not spanning. + G = nx.MultiDiGraph() + G.add_nodes_from(range(10)) + G.add_edges_from([(0, 1), (0, 2), (1, 3), (5, 6)]) + assert nx.is_branching(G) + assert not nx.is_arborescence(G) + + +def test_notarborescence2(): + # Not an arborescence due to in-degree violation. + G = nx.MultiDiGraph() + nx.add_path(G, range(5)) + G.add_edge(6, 4) + assert not nx.is_branching(G) + assert not nx.is_arborescence(G) + + +def test_is_arborescense_empty_graph_raises(): + G = nx.DiGraph() + with pytest.raises(nx.NetworkXPointlessConcept, match="G has no nodes."): + nx.is_arborescence(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..721fa8b4767233bc2b624f6b2ce4d10533a4d66c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/__init__.py @@ -0,0 +1,13 @@ +from .graph import Graph +from .digraph import DiGraph +from .multigraph import MultiGraph +from .multidigraph import MultiDiGraph + +from .function import * +from .graphviews import subgraph_view, reverse_view + +from networkx.classes import filters + +from networkx.classes import coreviews +from networkx.classes import graphviews +from networkx.classes import reportviews diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/coreviews.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/coreviews.py new file mode 100644 index 0000000000000000000000000000000000000000..a6e85213f6c31c3e7a3c4d70951d0f638c519961 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/coreviews.py @@ -0,0 +1,431 @@ +"""Views of core data structures such as nested Mappings (e.g. dict-of-dicts). +These ``Views`` often restrict element access, with either the entire view or +layers of nested mappings being read-only. +""" + +from collections.abc import Mapping + +__all__ = [ + "AtlasView", + "AdjacencyView", + "MultiAdjacencyView", + "UnionAtlas", + "UnionAdjacency", + "UnionMultiInner", + "UnionMultiAdjacency", + "FilterAtlas", + "FilterAdjacency", + "FilterMultiInner", + "FilterMultiAdjacency", +] + + +class AtlasView(Mapping): + """An AtlasView is a Read-only Mapping of Mappings. + + It is a View into a dict-of-dict data structure. + The inner level of dict is read-write. But the + outer level is read-only. + + See Also + ======== + AdjacencyView: View into dict-of-dict-of-dict + MultiAdjacencyView: View into dict-of-dict-of-dict-of-dict + """ + + __slots__ = ("_atlas",) + + def __getstate__(self): + return {"_atlas": self._atlas} + + def __setstate__(self, state): + self._atlas = state["_atlas"] + + def __init__(self, d): + self._atlas = d + + def __len__(self): + return len(self._atlas) + + def __iter__(self): + return iter(self._atlas) + + def __getitem__(self, key): + return self._atlas[key] + + def copy(self): + return {n: self[n].copy() for n in self._atlas} + + def __str__(self): + return str(self._atlas) # {nbr: self[nbr] for nbr in self}) + + def __repr__(self): + return f"{self.__class__.__name__}({self._atlas!r})" + + +class AdjacencyView(AtlasView): + """An AdjacencyView is a Read-only Map of Maps of Maps. + + It is a View into a dict-of-dict-of-dict data structure. + The inner level of dict is read-write. But the + outer levels are read-only. + + See Also + ======== + AtlasView: View into dict-of-dict + MultiAdjacencyView: View into dict-of-dict-of-dict-of-dict + """ + + __slots__ = () # Still uses AtlasView slots names _atlas + + def __getitem__(self, name): + return AtlasView(self._atlas[name]) + + def copy(self): + return {n: self[n].copy() for n in self._atlas} + + +class MultiAdjacencyView(AdjacencyView): + """An MultiAdjacencyView is a Read-only Map of Maps of Maps of Maps. + + It is a View into a dict-of-dict-of-dict-of-dict data structure. + The inner level of dict is read-write. But the + outer levels are read-only. + + See Also + ======== + AtlasView: View into dict-of-dict + AdjacencyView: View into dict-of-dict-of-dict + """ + + __slots__ = () # Still uses AtlasView slots names _atlas + + def __getitem__(self, name): + return AdjacencyView(self._atlas[name]) + + def copy(self): + return {n: self[n].copy() for n in self._atlas} + + +class UnionAtlas(Mapping): + """A read-only union of two atlases (dict-of-dict). + + The two dict-of-dicts represent the inner dict of + an Adjacency: `G.succ[node]` and `G.pred[node]`. + The inner level of dict of both hold attribute key:value + pairs and is read-write. But the outer level is read-only. + + See Also + ======== + UnionAdjacency: View into dict-of-dict-of-dict + UnionMultiAdjacency: View into dict-of-dict-of-dict-of-dict + """ + + __slots__ = ("_succ", "_pred") + + def __getstate__(self): + return {"_succ": self._succ, "_pred": self._pred} + + def __setstate__(self, state): + self._succ = state["_succ"] + self._pred = state["_pred"] + + def __init__(self, succ, pred): + self._succ = succ + self._pred = pred + + def __len__(self): + return len(self._succ.keys() | self._pred.keys()) + + def __iter__(self): + return iter(set(self._succ.keys()) | set(self._pred.keys())) + + def __getitem__(self, key): + try: + return self._succ[key] + except KeyError: + return self._pred[key] + + def copy(self): + result = {nbr: dd.copy() for nbr, dd in self._succ.items()} + for nbr, dd in self._pred.items(): + if nbr in result: + result[nbr].update(dd) + else: + result[nbr] = dd.copy() + return result + + def __str__(self): + return str({nbr: self[nbr] for nbr in self}) + + def __repr__(self): + return f"{self.__class__.__name__}({self._succ!r}, {self._pred!r})" + + +class UnionAdjacency(Mapping): + """A read-only union of dict Adjacencies as a Map of Maps of Maps. + + The two input dict-of-dict-of-dicts represent the union of + `G.succ` and `G.pred`. Return values are UnionAtlas + The inner level of dict is read-write. But the + middle and outer levels are read-only. + + succ : a dict-of-dict-of-dict {node: nbrdict} + pred : a dict-of-dict-of-dict {node: nbrdict} + The keys for the two dicts should be the same + + See Also + ======== + UnionAtlas: View into dict-of-dict + UnionMultiAdjacency: View into dict-of-dict-of-dict-of-dict + """ + + __slots__ = ("_succ", "_pred") + + def __getstate__(self): + return {"_succ": self._succ, "_pred": self._pred} + + def __setstate__(self, state): + self._succ = state["_succ"] + self._pred = state["_pred"] + + def __init__(self, succ, pred): + # keys must be the same for two input dicts + assert len(set(succ.keys()) ^ set(pred.keys())) == 0 + self._succ = succ + self._pred = pred + + def __len__(self): + return len(self._succ) # length of each dict should be the same + + def __iter__(self): + return iter(self._succ) + + def __getitem__(self, nbr): + return UnionAtlas(self._succ[nbr], self._pred[nbr]) + + def copy(self): + return {n: self[n].copy() for n in self._succ} + + def __str__(self): + return str({nbr: self[nbr] for nbr in self}) + + def __repr__(self): + return f"{self.__class__.__name__}({self._succ!r}, {self._pred!r})" + + +class UnionMultiInner(UnionAtlas): + """A read-only union of two inner dicts of MultiAdjacencies. + + The two input dict-of-dict-of-dicts represent the union of + `G.succ[node]` and `G.pred[node]` for MultiDiGraphs. + Return values are UnionAtlas. + The inner level of dict is read-write. But the outer levels are read-only. + + See Also + ======== + UnionAtlas: View into dict-of-dict + UnionAdjacency: View into dict-of-dict-of-dict + UnionMultiAdjacency: View into dict-of-dict-of-dict-of-dict + """ + + __slots__ = () # Still uses UnionAtlas slots names _succ, _pred + + def __getitem__(self, node): + in_succ = node in self._succ + in_pred = node in self._pred + if in_succ: + if in_pred: + return UnionAtlas(self._succ[node], self._pred[node]) + return UnionAtlas(self._succ[node], {}) + return UnionAtlas({}, self._pred[node]) + + def copy(self): + nodes = set(self._succ.keys()) | set(self._pred.keys()) + return {n: self[n].copy() for n in nodes} + + +class UnionMultiAdjacency(UnionAdjacency): + """A read-only union of two dict MultiAdjacencies. + + The two input dict-of-dict-of-dict-of-dicts represent the union of + `G.succ` and `G.pred` for MultiDiGraphs. Return values are UnionAdjacency. + The inner level of dict is read-write. But the outer levels are read-only. + + See Also + ======== + UnionAtlas: View into dict-of-dict + UnionMultiInner: View into dict-of-dict-of-dict + """ + + __slots__ = () # Still uses UnionAdjacency slots names _succ, _pred + + def __getitem__(self, node): + return UnionMultiInner(self._succ[node], self._pred[node]) + + +class FilterAtlas(Mapping): # nodedict, nbrdict, keydict + """A read-only Mapping of Mappings with filtering criteria for nodes. + + It is a view into a dict-of-dict data structure, and it selects only + nodes that meet the criteria defined by ``NODE_OK``. + + See Also + ======== + FilterAdjacency + FilterMultiInner + FilterMultiAdjacency + """ + + def __init__(self, d, NODE_OK): + self._atlas = d + self.NODE_OK = NODE_OK + + def __len__(self): + # check whether NODE_OK stores the number of nodes as `length` + # or the nodes themselves as a set `nodes`. If not, count the nodes. + if hasattr(self.NODE_OK, "length"): + return self.NODE_OK.length + if hasattr(self.NODE_OK, "nodes"): + return len(self.NODE_OK.nodes & self._atlas.keys()) + return sum(1 for n in self._atlas if self.NODE_OK(n)) + + def __iter__(self): + try: # check that NODE_OK has attr 'nodes' + node_ok_shorter = 2 * len(self.NODE_OK.nodes) < len(self._atlas) + except AttributeError: + node_ok_shorter = False + if node_ok_shorter: + return (n for n in self.NODE_OK.nodes if n in self._atlas) + return (n for n in self._atlas if self.NODE_OK(n)) + + def __getitem__(self, key): + if key in self._atlas and self.NODE_OK(key): + return self._atlas[key] + raise KeyError(f"Key {key} not found") + + def __str__(self): + return str({nbr: self[nbr] for nbr in self}) + + def __repr__(self): + return f"{self.__class__.__name__}({self._atlas!r}, {self.NODE_OK!r})" + + +class FilterAdjacency(Mapping): # edgedict + """A read-only Mapping of Mappings with filtering criteria for nodes and edges. + + It is a view into a dict-of-dict-of-dict data structure, and it selects nodes + and edges that satisfy specific criteria defined by ``NODE_OK`` and ``EDGE_OK``, + respectively. + + See Also + ======== + FilterAtlas + FilterMultiInner + FilterMultiAdjacency + """ + + def __init__(self, d, NODE_OK, EDGE_OK): + self._atlas = d + self.NODE_OK = NODE_OK + self.EDGE_OK = EDGE_OK + + def __len__(self): + # check whether NODE_OK stores the number of nodes as `length` + # or the nodes themselves as a set `nodes`. If not, count the nodes. + if hasattr(self.NODE_OK, "length"): + return self.NODE_OK.length + if hasattr(self.NODE_OK, "nodes"): + return len(self.NODE_OK.nodes & self._atlas.keys()) + return sum(1 for n in self._atlas if self.NODE_OK(n)) + + def __iter__(self): + try: # check that NODE_OK has attr 'nodes' + node_ok_shorter = 2 * len(self.NODE_OK.nodes) < len(self._atlas) + except AttributeError: + node_ok_shorter = False + if node_ok_shorter: + return (n for n in self.NODE_OK.nodes if n in self._atlas) + return (n for n in self._atlas if self.NODE_OK(n)) + + def __getitem__(self, node): + if node in self._atlas and self.NODE_OK(node): + + def new_node_ok(nbr): + return self.NODE_OK(nbr) and self.EDGE_OK(node, nbr) + + return FilterAtlas(self._atlas[node], new_node_ok) + raise KeyError(f"Key {node} not found") + + def __str__(self): + return str({nbr: self[nbr] for nbr in self}) + + def __repr__(self): + name = self.__class__.__name__ + return f"{name}({self._atlas!r}, {self.NODE_OK!r}, {self.EDGE_OK!r})" + + +class FilterMultiInner(FilterAdjacency): # muliedge_seconddict + """A read-only Mapping of Mappings with filtering criteria for nodes and edges. + + It is a view into a dict-of-dict-of-dict-of-dict data structure, and it selects nodes + and edges that meet specific criteria defined by ``NODE_OK`` and ``EDGE_OK``. + + See Also + ======== + FilterAtlas + FilterAdjacency + FilterMultiAdjacency + """ + + def __iter__(self): + try: # check that NODE_OK has attr 'nodes' + node_ok_shorter = 2 * len(self.NODE_OK.nodes) < len(self._atlas) + except AttributeError: + node_ok_shorter = False + if node_ok_shorter: + my_nodes = (n for n in self.NODE_OK.nodes if n in self._atlas) + else: + my_nodes = (n for n in self._atlas if self.NODE_OK(n)) + for n in my_nodes: + some_keys_ok = False + for key in self._atlas[n]: + if self.EDGE_OK(n, key): + some_keys_ok = True + break + if some_keys_ok is True: + yield n + + def __getitem__(self, nbr): + if nbr in self._atlas and self.NODE_OK(nbr): + + def new_node_ok(key): + return self.EDGE_OK(nbr, key) + + return FilterAtlas(self._atlas[nbr], new_node_ok) + raise KeyError(f"Key {nbr} not found") + + +class FilterMultiAdjacency(FilterAdjacency): # multiedgedict + """A read-only Mapping of Mappings with filtering criteria + for nodes and edges. + + It is a view into a dict-of-dict-of-dict-of-dict data structure, + and it selects nodes and edges that satisfy specific criteria + defined by ``NODE_OK`` and ``EDGE_OK``, respectively. + + See Also + ======== + FilterAtlas + FilterAdjacency + FilterMultiInner + """ + + def __getitem__(self, node): + if node in self._atlas and self.NODE_OK(node): + + def edge_ok(nbr, key): + return self.NODE_OK(nbr) and self.EDGE_OK(node, nbr, key) + + return FilterMultiInner(self._atlas[node], self.NODE_OK, edge_ok) + raise KeyError(f"Key {node} not found") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/digraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/digraph.py new file mode 100644 index 0000000000000000000000000000000000000000..2ba56dea101c9f0caf4c2f9a2440456794dbfcc8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/digraph.py @@ -0,0 +1,1352 @@ +"""Base class for directed graphs.""" + +from copy import deepcopy +from functools import cached_property + +import networkx as nx +from networkx import convert +from networkx.classes.coreviews import AdjacencyView +from networkx.classes.graph import Graph +from networkx.classes.reportviews import ( + DiDegreeView, + InDegreeView, + InEdgeView, + OutDegreeView, + OutEdgeView, +) +from networkx.exception import NetworkXError + +__all__ = ["DiGraph"] + + +class _CachedPropertyResetterAdjAndSucc: + """Data Descriptor class that syncs and resets cached properties adj and succ + + The cached properties `adj` and `succ` are reset whenever `_adj` or `_succ` + are set to new objects. In addition, the attributes `_succ` and `_adj` + are synced so these two names point to the same object. + + Warning: most of the time, when ``G._adj`` is set, ``G._pred`` should also + be set to maintain a valid data structure. They share datadicts. + + This object sits on a class and ensures that any instance of that + class clears its cached properties "succ" and "adj" whenever the + underlying instance attributes "_succ" or "_adj" are set to a new object. + It only affects the set process of the obj._adj and obj._succ attribute. + All get/del operations act as they normally would. + + For info on Data Descriptors see: https://docs.python.org/3/howto/descriptor.html + """ + + def __set__(self, obj, value): + od = obj.__dict__ + od["_adj"] = value + od["_succ"] = value + # reset cached properties + props = [ + "adj", + "succ", + "edges", + "out_edges", + "degree", + "out_degree", + "in_degree", + ] + for prop in props: + if prop in od: + del od[prop] + + +class _CachedPropertyResetterPred: + """Data Descriptor class for _pred that resets ``pred`` cached_property when needed + + This assumes that the ``cached_property`` ``G.pred`` should be reset whenever + ``G._pred`` is set to a new value. + + Warning: most of the time, when ``G._pred`` is set, ``G._adj`` should also + be set to maintain a valid data structure. They share datadicts. + + This object sits on a class and ensures that any instance of that + class clears its cached property "pred" whenever the underlying + instance attribute "_pred" is set to a new object. It only affects + the set process of the obj._pred attribute. All get/del operations + act as they normally would. + + For info on Data Descriptors see: https://docs.python.org/3/howto/descriptor.html + """ + + def __set__(self, obj, value): + od = obj.__dict__ + od["_pred"] = value + # reset cached properties + props = ["pred", "in_edges", "degree", "out_degree", "in_degree"] + for prop in props: + if prop in od: + del od[prop] + + +class DiGraph(Graph): + """ + Base class for directed graphs. + + A DiGraph stores nodes and edges with optional data, or attributes. + + DiGraphs hold directed edges. Self loops are allowed but multiple + (parallel) edges are not. + + Nodes can be arbitrary (hashable) Python objects with optional + key/value attributes. By convention `None` is not used as a node. + + Edges are represented as links between nodes with optional + key/value attributes. + + Parameters + ---------- + incoming_graph_data : input graph (optional, default: None) + Data to initialize graph. If None (default) an empty + graph is created. The data can be any format that is supported + by the to_networkx_graph() function, currently including edge list, + dict of dicts, dict of lists, NetworkX graph, 2D NumPy array, SciPy + sparse matrix, or PyGraphviz graph. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + Graph + MultiGraph + MultiDiGraph + + Examples + -------- + Create an empty graph structure (a "null graph") with no nodes and + no edges. + + >>> G = nx.DiGraph() + + G can be grown in several ways. + + **Nodes:** + + Add one node at a time: + + >>> G.add_node(1) + + Add the nodes from any container (a list, dict, set or + even the lines from a file or the nodes from another graph). + + >>> G.add_nodes_from([2, 3]) + >>> G.add_nodes_from(range(100, 110)) + >>> H = nx.path_graph(10) + >>> G.add_nodes_from(H) + + In addition to strings and integers any hashable Python object + (except None) can represent a node, e.g. a customized node object, + or even another Graph. + + >>> G.add_node(H) + + **Edges:** + + G can also be grown by adding edges. + + Add one edge, + + >>> G.add_edge(1, 2) + + a list of edges, + + >>> G.add_edges_from([(1, 2), (1, 3)]) + + or a collection of edges, + + >>> G.add_edges_from(H.edges) + + If some edges connect nodes not yet in the graph, the nodes + are added automatically. There are no errors when adding + nodes or edges that already exist. + + **Attributes:** + + Each graph, node, and edge can hold key/value attribute pairs + in an associated attribute dictionary (the keys must be hashable). + By default these are empty, but can be added or changed using + add_edge, add_node or direct manipulation of the attribute + dictionaries named graph, node and edge respectively. + + >>> G = nx.DiGraph(day="Friday") + >>> G.graph + {'day': 'Friday'} + + Add node attributes using add_node(), add_nodes_from() or G.nodes + + >>> G.add_node(1, time="5pm") + >>> G.add_nodes_from([3], time="2pm") + >>> G.nodes[1] + {'time': '5pm'} + >>> G.nodes[1]["room"] = 714 + >>> del G.nodes[1]["room"] # remove attribute + >>> list(G.nodes(data=True)) + [(1, {'time': '5pm'}), (3, {'time': '2pm'})] + + Add edge attributes using add_edge(), add_edges_from(), subscript + notation, or G.edges. + + >>> G.add_edge(1, 2, weight=4.7) + >>> G.add_edges_from([(3, 4), (4, 5)], color="red") + >>> G.add_edges_from([(1, 2, {"color": "blue"}), (2, 3, {"weight": 8})]) + >>> G[1][2]["weight"] = 4.7 + >>> G.edges[1, 2]["weight"] = 4 + + Warning: we protect the graph data structure by making `G.edges[1, 2]` a + read-only dict-like structure. However, you can assign to attributes + in e.g. `G.edges[1, 2]`. Thus, use 2 sets of brackets to add/change + data attributes: `G.edges[1, 2]['weight'] = 4` + (For multigraphs: `MG.edges[u, v, key][name] = value`). + + **Shortcuts:** + + Many common graph features allow python syntax to speed reporting. + + >>> 1 in G # check if node in graph + True + >>> [n for n in G if n < 3] # iterate through nodes + [1, 2] + >>> len(G) # number of nodes in graph + 5 + + Often the best way to traverse all edges of a graph is via the neighbors. + The neighbors are reported as an adjacency-dict `G.adj` or `G.adjacency()` + + >>> for n, nbrsdict in G.adjacency(): + ... for nbr, eattr in nbrsdict.items(): + ... if "weight" in eattr: + ... # Do something useful with the edges + ... pass + + But the edges reporting object is often more convenient: + + >>> for u, v, weight in G.edges(data="weight"): + ... if weight is not None: + ... # Do something useful with the edges + ... pass + + **Reporting:** + + Simple graph information is obtained using object-attributes and methods. + Reporting usually provides views instead of containers to reduce memory + usage. The views update as the graph is updated similarly to dict-views. + The objects `nodes`, `edges` and `adj` provide access to data attributes + via lookup (e.g. `nodes[n]`, `edges[u, v]`, `adj[u][v]`) and iteration + (e.g. `nodes.items()`, `nodes.data('color')`, + `nodes.data('color', default='blue')` and similarly for `edges`) + Views exist for `nodes`, `edges`, `neighbors()`/`adj` and `degree`. + + For details on these and other miscellaneous methods, see below. + + **Subclasses (Advanced):** + + The Graph class uses a dict-of-dict-of-dict data structure. + The outer dict (node_dict) holds adjacency information keyed by node. + The next dict (adjlist_dict) represents the adjacency information and holds + edge data keyed by neighbor. The inner dict (edge_attr_dict) represents + the edge data and holds edge attribute values keyed by attribute names. + + Each of these three dicts can be replaced in a subclass by a user defined + dict-like object. In general, the dict-like features should be + maintained but extra features can be added. To replace one of the + dicts create a new graph class by changing the class(!) variable + holding the factory for that dict-like structure. The variable names are + node_dict_factory, node_attr_dict_factory, adjlist_inner_dict_factory, + adjlist_outer_dict_factory, edge_attr_dict_factory and graph_attr_dict_factory. + + node_dict_factory : function, (default: dict) + Factory function to be used to create the dict containing node + attributes, keyed by node id. + It should require no arguments and return a dict-like object + + node_attr_dict_factory: function, (default: dict) + Factory function to be used to create the node attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object + + adjlist_outer_dict_factory : function, (default: dict) + Factory function to be used to create the outer-most dict + in the data structure that holds adjacency info keyed by node. + It should require no arguments and return a dict-like object. + + adjlist_inner_dict_factory : function, optional (default: dict) + Factory function to be used to create the adjacency list + dict which holds edge data keyed by neighbor. + It should require no arguments and return a dict-like object + + edge_attr_dict_factory : function, optional (default: dict) + Factory function to be used to create the edge attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + graph_attr_dict_factory : function, (default: dict) + Factory function to be used to create the graph attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + Typically, if your extension doesn't impact the data structure all + methods will inherited without issue except: `to_directed/to_undirected`. + By default these methods create a DiGraph/Graph class and you probably + want them to create your extension of a DiGraph/Graph. To facilitate + this we define two class variables that you can set in your subclass. + + to_directed_class : callable, (default: DiGraph or MultiDiGraph) + Class to create a new graph structure in the `to_directed` method. + If `None`, a NetworkX class (DiGraph or MultiDiGraph) is used. + + to_undirected_class : callable, (default: Graph or MultiGraph) + Class to create a new graph structure in the `to_undirected` method. + If `None`, a NetworkX class (Graph or MultiGraph) is used. + + **Subclassing Example** + + Create a low memory graph class that effectively disallows edge + attributes by using a single attribute dict for all edges. + This reduces the memory used, but you lose edge attributes. + + >>> class ThinGraph(nx.Graph): + ... all_edge_dict = {"weight": 1} + ... + ... def single_edge_dict(self): + ... return self.all_edge_dict + ... + ... edge_attr_dict_factory = single_edge_dict + >>> G = ThinGraph() + >>> G.add_edge(2, 1) + >>> G[2][1] + {'weight': 1} + >>> G.add_edge(2, 2) + >>> G[2][1] is G[2][2] + True + """ + + _adj = _CachedPropertyResetterAdjAndSucc() # type: ignore[assignment] + _succ = _adj # type: ignore[has-type] + _pred = _CachedPropertyResetterPred() + + def __init__(self, incoming_graph_data=None, **attr): + """Initialize a graph with edges, name, or graph attributes. + + Parameters + ---------- + incoming_graph_data : input graph (optional, default: None) + Data to initialize graph. If None (default) an empty + graph is created. The data can be an edge list, or any + NetworkX graph object. If the corresponding optional Python + packages are installed the data can also be a 2D NumPy array, a + SciPy sparse array, or a PyGraphviz graph. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + convert + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G = nx.Graph(name="my graph") + >>> e = [(1, 2), (2, 3), (3, 4)] # list of edges + >>> G = nx.Graph(e) + + Arbitrary graph attribute pairs (key=value) may be assigned + + >>> G = nx.Graph(e, day="Friday") + >>> G.graph + {'day': 'Friday'} + + """ + self.graph = self.graph_attr_dict_factory() # dictionary for graph attributes + self._node = self.node_dict_factory() # dictionary for node attr + # We store two adjacency lists: + # the predecessors of node n are stored in the dict self._pred + # the successors of node n are stored in the dict self._succ=self._adj + self._adj = self.adjlist_outer_dict_factory() # empty adjacency dict successor + self._pred = self.adjlist_outer_dict_factory() # predecessor + # Note: self._succ = self._adj # successor + + self.__networkx_cache__ = {} + # attempt to load graph with data + if incoming_graph_data is not None: + convert.to_networkx_graph(incoming_graph_data, create_using=self) + # load graph attributes (must be after convert) + self.graph.update(attr) + + @cached_property + def adj(self): + """Graph adjacency object holding the neighbors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edge-data-dict. So `G.adj[3][2]['color'] = 'blue'` sets + the color of the edge `(3, 2)` to `"blue"`. + + Iterating over G.adj behaves like a dict. Useful idioms include + `for nbr, datadict in G.adj[n].items():`. + + The neighbor information is also provided by subscripting the graph. + So `for nbr, foovalue in G[node].data('foo', default=1):` works. + + For directed graphs, `G.adj` holds outgoing (successor) info. + """ + return AdjacencyView(self._succ) + + @cached_property + def succ(self): + """Graph adjacency object holding the successors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edge-data-dict. So `G.succ[3][2]['color'] = 'blue'` sets + the color of the edge `(3, 2)` to `"blue"`. + + Iterating over G.succ behaves like a dict. Useful idioms include + `for nbr, datadict in G.succ[n].items():`. A data-view not provided + by dicts also exists: `for nbr, foovalue in G.succ[node].data('foo'):` + and a default can be set via a `default` argument to the `data` method. + + The neighbor information is also provided by subscripting the graph. + So `for nbr, foovalue in G[node].data('foo', default=1):` works. + + For directed graphs, `G.adj` is identical to `G.succ`. + """ + return AdjacencyView(self._succ) + + @cached_property + def pred(self): + """Graph adjacency object holding the predecessors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edge-data-dict. So `G.pred[2][3]['color'] = 'blue'` sets + the color of the edge `(3, 2)` to `"blue"`. + + Iterating over G.pred behaves like a dict. Useful idioms include + `for nbr, datadict in G.pred[n].items():`. A data-view not provided + by dicts also exists: `for nbr, foovalue in G.pred[node].data('foo'):` + A default can be set via a `default` argument to the `data` method. + """ + return AdjacencyView(self._pred) + + def add_node(self, node_for_adding, **attr): + """Add a single node `node_for_adding` and update node attributes. + + Parameters + ---------- + node_for_adding : node + A node can be any hashable Python object except None. + attr : keyword arguments, optional + Set or change node attributes using key=value. + + See Also + -------- + add_nodes_from + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_node(1) + >>> G.add_node("Hello") + >>> K3 = nx.Graph([(0, 1), (1, 2), (2, 0)]) + >>> G.add_node(K3) + >>> G.number_of_nodes() + 3 + + Use keywords set/change node attributes: + + >>> G.add_node(1, size=10) + >>> G.add_node(3, weight=0.4, UTM=("13S", 382871, 3972649)) + + Notes + ----- + A hashable object is one that can be used as a key in a Python + dictionary. This includes strings, numbers, tuples of strings + and numbers, etc. + + On many platforms hashable items also include mutables such as + NetworkX Graphs, though one should be careful that the hash + doesn't change on mutables. + """ + if node_for_adding not in self._succ: + if node_for_adding is None: + raise ValueError("None cannot be a node") + self._succ[node_for_adding] = self.adjlist_inner_dict_factory() + self._pred[node_for_adding] = self.adjlist_inner_dict_factory() + attr_dict = self._node[node_for_adding] = self.node_attr_dict_factory() + attr_dict.update(attr) + else: # update attr even if node already exists + self._node[node_for_adding].update(attr) + nx._clear_cache(self) + + def add_nodes_from(self, nodes_for_adding, **attr): + """Add multiple nodes. + + Parameters + ---------- + nodes_for_adding : iterable container + A container of nodes (list, dict, set, etc.). + OR + A container of (node, attribute dict) tuples. + Node attributes are updated using the attribute dict. + attr : keyword arguments, optional (default= no attributes) + Update attributes for all nodes in nodes. + Node attributes specified in nodes as a tuple take + precedence over attributes specified via keyword arguments. + + See Also + -------- + add_node + + Notes + ----- + When adding nodes from an iterator over the graph you are changing, + a `RuntimeError` can be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_nodes)`, and pass this + object to `G.add_nodes_from`. + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_nodes_from("Hello") + >>> K3 = nx.Graph([(0, 1), (1, 2), (2, 0)]) + >>> G.add_nodes_from(K3) + >>> sorted(G.nodes(), key=str) + [0, 1, 2, 'H', 'e', 'l', 'o'] + + Use keywords to update specific node attributes for every node. + + >>> G.add_nodes_from([1, 2], size=10) + >>> G.add_nodes_from([3, 4], weight=0.4) + + Use (node, attrdict) tuples to update attributes for specific nodes. + + >>> G.add_nodes_from([(1, dict(size=11)), (2, {"color": "blue"})]) + >>> G.nodes[1]["size"] + 11 + >>> H = nx.Graph() + >>> H.add_nodes_from(G.nodes(data=True)) + >>> H.nodes[1]["size"] + 11 + + Evaluate an iterator over a graph if using it to modify the same graph + + >>> G = nx.DiGraph([(0, 1), (1, 2), (3, 4)]) + >>> # wrong way - will raise RuntimeError + >>> # G.add_nodes_from(n + 1 for n in G.nodes) + >>> # correct way + >>> G.add_nodes_from(list(n + 1 for n in G.nodes)) + """ + for n in nodes_for_adding: + try: + newnode = n not in self._node + newdict = attr + except TypeError: + n, ndict = n + newnode = n not in self._node + newdict = attr.copy() + newdict.update(ndict) + if newnode: + if n is None: + raise ValueError("None cannot be a node") + self._succ[n] = self.adjlist_inner_dict_factory() + self._pred[n] = self.adjlist_inner_dict_factory() + self._node[n] = self.node_attr_dict_factory() + self._node[n].update(newdict) + nx._clear_cache(self) + + def remove_node(self, n): + """Remove node n. + + Removes the node n and all adjacent edges. + Attempting to remove a nonexistent node will raise an exception. + + Parameters + ---------- + n : node + A node in the graph + + Raises + ------ + NetworkXError + If n is not in the graph. + + See Also + -------- + remove_nodes_from + + Examples + -------- + >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> list(G.edges) + [(0, 1), (1, 2)] + >>> G.remove_node(1) + >>> list(G.edges) + [] + + """ + try: + nbrs = self._succ[n] + del self._node[n] + except KeyError as err: # NetworkXError if n not in self + raise NetworkXError(f"The node {n} is not in the digraph.") from err + for u in nbrs: + del self._pred[u][n] # remove all edges n-u in digraph + del self._succ[n] # remove node from succ + for u in self._pred[n]: + del self._succ[u][n] # remove all edges n-u in digraph + del self._pred[n] # remove node from pred + nx._clear_cache(self) + + def remove_nodes_from(self, nodes): + """Remove multiple nodes. + + Parameters + ---------- + nodes : iterable container + A container of nodes (list, dict, set, etc.). If a node + in the container is not in the graph it is silently ignored. + + See Also + -------- + remove_node + + Notes + ----- + When removing nodes from an iterator over the graph you are changing, + a `RuntimeError` will be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_nodes)`, and pass this + object to `G.remove_nodes_from`. + + Examples + -------- + >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> e = list(G.nodes) + >>> e + [0, 1, 2] + >>> G.remove_nodes_from(e) + >>> list(G.nodes) + [] + + Evaluate an iterator over a graph if using it to modify the same graph + + >>> G = nx.DiGraph([(0, 1), (1, 2), (3, 4)]) + >>> # this command will fail, as the graph's dict is modified during iteration + >>> # G.remove_nodes_from(n for n in G.nodes if n < 2) + >>> # this command will work, since the dictionary underlying graph is not modified + >>> G.remove_nodes_from(list(n for n in G.nodes if n < 2)) + """ + for n in nodes: + try: + succs = self._succ[n] + del self._node[n] + for u in succs: + del self._pred[u][n] # remove all edges n-u in digraph + del self._succ[n] # now remove node + for u in self._pred[n]: + del self._succ[u][n] # remove all edges n-u in digraph + del self._pred[n] # now remove node + except KeyError: + pass # silent failure on remove + nx._clear_cache(self) + + def add_edge(self, u_of_edge, v_of_edge, **attr): + """Add an edge between u and v. + + The nodes u and v will be automatically added if they are + not already in the graph. + + Edge attributes can be specified with keywords or by directly + accessing the edge's attribute dictionary. See examples below. + + Parameters + ---------- + u_of_edge, v_of_edge : nodes + Nodes can be, for example, strings or numbers. + Nodes must be hashable (and not None) Python objects. + attr : keyword arguments, optional + Edge data (or labels or objects) can be assigned using + keyword arguments. + + See Also + -------- + add_edges_from : add a collection of edges + + Notes + ----- + Adding an edge that already exists updates the edge data. + + Many NetworkX algorithms designed for weighted graphs use + an edge attribute (by default `weight`) to hold a numerical value. + + Examples + -------- + The following all add the edge e=(1, 2) to graph G: + + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> e = (1, 2) + >>> G.add_edge(1, 2) # explicit two-node form + >>> G.add_edge(*e) # single edge as tuple of two nodes + >>> G.add_edges_from([(1, 2)]) # add edges from iterable container + + Associate data to edges using keywords: + + >>> G.add_edge(1, 2, weight=3) + >>> G.add_edge(1, 3, weight=7, capacity=15, length=342.7) + + For non-string attribute keys, use subscript notation. + + >>> G.add_edge(1, 2) + >>> G[1][2].update({0: 5}) + >>> G.edges[1, 2].update({0: 5}) + """ + u, v = u_of_edge, v_of_edge + # add nodes + if u not in self._succ: + if u is None: + raise ValueError("None cannot be a node") + self._succ[u] = self.adjlist_inner_dict_factory() + self._pred[u] = self.adjlist_inner_dict_factory() + self._node[u] = self.node_attr_dict_factory() + if v not in self._succ: + if v is None: + raise ValueError("None cannot be a node") + self._succ[v] = self.adjlist_inner_dict_factory() + self._pred[v] = self.adjlist_inner_dict_factory() + self._node[v] = self.node_attr_dict_factory() + # add the edge + datadict = self._adj[u].get(v, self.edge_attr_dict_factory()) + datadict.update(attr) + self._succ[u][v] = datadict + self._pred[v][u] = datadict + nx._clear_cache(self) + + def add_edges_from(self, ebunch_to_add, **attr): + """Add all the edges in ebunch_to_add. + + Parameters + ---------- + ebunch_to_add : container of edges + Each edge given in the container will be added to the + graph. The edges must be given as 2-tuples (u, v) or + 3-tuples (u, v, d) where d is a dictionary containing edge data. + attr : keyword arguments, optional + Edge data (or labels or objects) can be assigned using + keyword arguments. + + See Also + -------- + add_edge : add a single edge + add_weighted_edges_from : convenient way to add weighted edges + + Notes + ----- + Adding the same edge twice has no effect but any edge data + will be updated when each duplicate edge is added. + + Edge attributes specified in an ebunch take precedence over + attributes specified via keyword arguments. + + When adding edges from an iterator over the graph you are changing, + a `RuntimeError` can be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_edges)`, and pass this + object to `G.add_edges_from`. + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_edges_from([(0, 1), (1, 2)]) # using a list of edge tuples + >>> e = zip(range(0, 3), range(1, 4)) + >>> G.add_edges_from(e) # Add the path graph 0-1-2-3 + + Associate data to edges + + >>> G.add_edges_from([(1, 2), (2, 3)], weight=3) + >>> G.add_edges_from([(3, 4), (1, 4)], label="WN2898") + + Evaluate an iterator over a graph if using it to modify the same graph + + >>> G = nx.DiGraph([(1, 2), (2, 3), (3, 4)]) + >>> # Grow graph by one new node, adding edges to all existing nodes. + >>> # wrong way - will raise RuntimeError + >>> # G.add_edges_from(((5, n) for n in G.nodes)) + >>> # right way - note that there will be no self-edge for node 5 + >>> G.add_edges_from(list((5, n) for n in G.nodes)) + """ + for e in ebunch_to_add: + ne = len(e) + if ne == 3: + u, v, dd = e + elif ne == 2: + u, v = e + dd = {} + else: + raise NetworkXError(f"Edge tuple {e} must be a 2-tuple or 3-tuple.") + if u not in self._succ: + if u is None: + raise ValueError("None cannot be a node") + self._succ[u] = self.adjlist_inner_dict_factory() + self._pred[u] = self.adjlist_inner_dict_factory() + self._node[u] = self.node_attr_dict_factory() + if v not in self._succ: + if v is None: + raise ValueError("None cannot be a node") + self._succ[v] = self.adjlist_inner_dict_factory() + self._pred[v] = self.adjlist_inner_dict_factory() + self._node[v] = self.node_attr_dict_factory() + datadict = self._adj[u].get(v, self.edge_attr_dict_factory()) + datadict.update(attr) + datadict.update(dd) + self._succ[u][v] = datadict + self._pred[v][u] = datadict + nx._clear_cache(self) + + def remove_edge(self, u, v): + """Remove the edge between u and v. + + Parameters + ---------- + u, v : nodes + Remove the edge between nodes u and v. + + Raises + ------ + NetworkXError + If there is not an edge between u and v. + + See Also + -------- + remove_edges_from : remove a collection of edges + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, etc + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.remove_edge(0, 1) + >>> e = (1, 2) + >>> G.remove_edge(*e) # unpacks e from an edge tuple + >>> e = (2, 3, {"weight": 7}) # an edge with attribute data + >>> G.remove_edge(*e[:2]) # select first part of edge tuple + """ + try: + del self._succ[u][v] + del self._pred[v][u] + except KeyError as err: + raise NetworkXError(f"The edge {u}-{v} not in graph.") from err + nx._clear_cache(self) + + def remove_edges_from(self, ebunch): + """Remove all edges specified in ebunch. + + Parameters + ---------- + ebunch: list or container of edge tuples + Each edge given in the list or container will be removed + from the graph. The edges can be: + + - 2-tuples (u, v) edge between u and v. + - 3-tuples (u, v, k) where k is ignored. + + See Also + -------- + remove_edge : remove a single edge + + Notes + ----- + Will fail silently if an edge in ebunch is not in the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> ebunch = [(1, 2), (2, 3)] + >>> G.remove_edges_from(ebunch) + """ + for e in ebunch: + u, v = e[:2] # ignore edge data + if u in self._succ and v in self._succ[u]: + del self._succ[u][v] + del self._pred[v][u] + nx._clear_cache(self) + + def has_successor(self, u, v): + """Returns True if node u has successor v. + + This is true if graph has the edge u->v. + """ + return u in self._succ and v in self._succ[u] + + def has_predecessor(self, u, v): + """Returns True if node u has predecessor v. + + This is true if graph has the edge u<-v. + """ + return u in self._pred and v in self._pred[u] + + def successors(self, n): + """Returns an iterator over successor nodes of n. + + A successor of n is a node m such that there exists a directed + edge from n to m. + + Parameters + ---------- + n : node + A node in the graph + + Raises + ------ + NetworkXError + If n is not in the graph. + + See Also + -------- + predecessors + + Notes + ----- + neighbors() and successors() are the same. + """ + try: + return iter(self._succ[n]) + except KeyError as err: + raise NetworkXError(f"The node {n} is not in the digraph.") from err + + # digraph definitions + neighbors = successors + + def predecessors(self, n): + """Returns an iterator over predecessor nodes of n. + + A predecessor of n is a node m such that there exists a directed + edge from m to n. + + Parameters + ---------- + n : node + A node in the graph + + Raises + ------ + NetworkXError + If n is not in the graph. + + See Also + -------- + successors + """ + try: + return iter(self._pred[n]) + except KeyError as err: + raise NetworkXError(f"The node {n} is not in the digraph.") from err + + @cached_property + def edges(self): + """An OutEdgeView of the DiGraph as G.edges or G.edges(). + + edges(self, nbunch=None, data=False, default=None) + + The OutEdgeView provides set-like operations on the edge-tuples + as well as edge attribute lookup. When called, it also provides + an EdgeDataView object which allows control of access to edge + attributes (but does not provide set-like operations). + Hence, `G.edges[u, v]['color']` provides the value of the color + attribute for edge `(u, v)` while + `for (u, v, c) in G.edges.data('color', default='red'):` + iterates through all the edges yielding the color attribute + with default `'red'` if no color attribute exists. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges from these nodes. + data : string or bool, optional (default=False) + The edge attribute returned in 3-tuple (u, v, ddict[data]). + If True, return edge attribute dict in 3-tuple (u, v, ddict). + If False, return 2-tuple (u, v). + default : value, optional (default=None) + Value used for edges that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + edges : OutEdgeView + A view of edge attributes, usually it iterates over (u, v) + or (u, v, d) tuples of edges, but can also be used for + attribute lookup as `edges[u, v]['foo']`. + + See Also + -------- + in_edges, out_edges + + Notes + ----- + Nodes in nbunch that are not in the graph will be (quietly) ignored. + For directed graphs this returns the out-edges. + + Examples + -------- + >>> G = nx.DiGraph() # or MultiDiGraph, etc + >>> nx.add_path(G, [0, 1, 2]) + >>> G.add_edge(2, 3, weight=5) + >>> [e for e in G.edges] + [(0, 1), (1, 2), (2, 3)] + >>> G.edges.data() # default data is {} (empty dict) + OutEdgeDataView([(0, 1, {}), (1, 2, {}), (2, 3, {'weight': 5})]) + >>> G.edges.data("weight", default=1) + OutEdgeDataView([(0, 1, 1), (1, 2, 1), (2, 3, 5)]) + >>> G.edges([0, 2]) # only edges originating from these nodes + OutEdgeDataView([(0, 1), (2, 3)]) + >>> G.edges(0) # only edges from node 0 + OutEdgeDataView([(0, 1)]) + + """ + return OutEdgeView(self) + + # alias out_edges to edges + @cached_property + def out_edges(self): + return OutEdgeView(self) + + out_edges.__doc__ = edges.__doc__ + + @cached_property + def in_edges(self): + """A view of the in edges of the graph as G.in_edges or G.in_edges(). + + in_edges(self, nbunch=None, data=False, default=None): + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + data : string or bool, optional (default=False) + The edge attribute returned in 3-tuple (u, v, ddict[data]). + If True, return edge attribute dict in 3-tuple (u, v, ddict). + If False, return 2-tuple (u, v). + default : value, optional (default=None) + Value used for edges that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + in_edges : InEdgeView or InEdgeDataView + A view of edge attributes, usually it iterates over (u, v) + or (u, v, d) tuples of edges, but can also be used for + attribute lookup as `edges[u, v]['foo']`. + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_edge(1, 2, color="blue") + >>> G.in_edges() + InEdgeView([(1, 2)]) + >>> G.in_edges(nbunch=2) + InEdgeDataView([(1, 2)]) + + See Also + -------- + edges + """ + return InEdgeView(self) + + @cached_property + def degree(self): + """A DegreeView for the Graph as G.degree or G.degree(). + + The node degree is the number of edges adjacent to the node. + The weighted node degree is the sum of the edge weights for + edges incident to that node. + + This object provides an iterator for (node, degree) as well as + lookup for the degree for a single node. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The name of an edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights adjacent to the node. + + Returns + ------- + DiDegreeView or int + If multiple nodes are requested (the default), returns a `DiDegreeView` + mapping nodes to their degree. + If a single node is requested, returns the degree of the node as an integer. + + See Also + -------- + in_degree, out_degree + + Examples + -------- + >>> G = nx.DiGraph() # or MultiDiGraph + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.degree(0) # node 0 with degree 1 + 1 + >>> list(G.degree([0, 1, 2])) + [(0, 1), (1, 2), (2, 2)] + + """ + return DiDegreeView(self) + + @cached_property + def in_degree(self): + """An InDegreeView for (node, in_degree) or in_degree for single node. + + The node in_degree is the number of edges pointing to the node. + The weighted node degree is the sum of the edge weights for + edges incident to that node. + + This object provides an iteration over (node, in_degree) as well as + lookup for the degree for a single node. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The name of an edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights adjacent to the node. + + Returns + ------- + If a single node is requested + deg : int + In-degree of the node + + OR if multiple nodes are requested + nd_iter : iterator + The iterator returns two-tuples of (node, in-degree). + + See Also + -------- + degree, out_degree + + Examples + -------- + >>> G = nx.DiGraph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.in_degree(0) # node 0 with degree 0 + 0 + >>> list(G.in_degree([0, 1, 2])) + [(0, 0), (1, 1), (2, 1)] + + """ + return InDegreeView(self) + + @cached_property + def out_degree(self): + """An OutDegreeView for (node, out_degree) + + The node out_degree is the number of edges pointing out of the node. + The weighted node degree is the sum of the edge weights for + edges incident to that node. + + This object provides an iterator over (node, out_degree) as well as + lookup for the degree for a single node. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The name of an edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights adjacent to the node. + + Returns + ------- + If a single node is requested + deg : int + Out-degree of the node + + OR if multiple nodes are requested + nd_iter : iterator + The iterator returns two-tuples of (node, out-degree). + + See Also + -------- + degree, in_degree + + Examples + -------- + >>> G = nx.DiGraph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.out_degree(0) # node 0 with degree 1 + 1 + >>> list(G.out_degree([0, 1, 2])) + [(0, 1), (1, 1), (2, 1)] + + """ + return OutDegreeView(self) + + def clear(self): + """Remove all nodes and edges from the graph. + + This also removes the name, and all graph, node, and edge attributes. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.clear() + >>> list(G.nodes) + [] + >>> list(G.edges) + [] + + """ + self._succ.clear() + self._pred.clear() + self._node.clear() + self.graph.clear() + nx._clear_cache(self) + + def clear_edges(self): + """Remove all edges from the graph without altering nodes. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.clear_edges() + >>> list(G.nodes) + [0, 1, 2, 3] + >>> list(G.edges) + [] + + """ + for predecessor_dict in self._pred.values(): + predecessor_dict.clear() + for successor_dict in self._succ.values(): + successor_dict.clear() + nx._clear_cache(self) + + def is_multigraph(self): + """Returns True if graph is a multigraph, False otherwise.""" + return False + + def is_directed(self): + """Returns True if graph is directed, False otherwise.""" + return True + + def to_undirected(self, reciprocal=False, as_view=False): + """Returns an undirected representation of the digraph. + + Parameters + ---------- + reciprocal : bool (optional) + If True only keep edges that appear in both directions + in the original digraph. + as_view : bool (optional, default=False) + If True return an undirected view of the original directed graph. + + Returns + ------- + G : Graph + An undirected graph with the same name and nodes and + with edge (u, v, data) if either (u, v, data) or (v, u, data) + is in the digraph. If both edges exist in digraph and + their edge data is different, only one edge is created + with an arbitrary choice of which edge data to use. + You must check and correct for this manually if desired. + + See Also + -------- + Graph, copy, add_edge, add_edges_from + + Notes + ----- + If edges in both directions (u, v) and (v, u) exist in the + graph, attributes for the new undirected edge will be a combination of + the attributes of the directed edges. The edge data is updated + in the (arbitrary) order that the edges are encountered. For + more customized control of the edge attributes use add_edge(). + + This returns a "deepcopy" of the edge, node, and + graph attributes which attempts to completely copy + all of the data and references. + + This is in contrast to the similar G=DiGraph(D) which returns a + shallow copy of the data. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Warning: If you have subclassed DiGraph to use dict-like objects + in the data structure, those changes do not transfer to the + Graph created by this method. + + Examples + -------- + >>> G = nx.path_graph(2) # or MultiGraph, etc + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1), (1, 0)] + >>> G2 = H.to_undirected() + >>> list(G2.edges) + [(0, 1)] + """ + graph_class = self.to_undirected_class() + if as_view is True: + return nx.graphviews.generic_graph_view(self, graph_class) + # deepcopy when not a view + G = graph_class() + G.graph.update(deepcopy(self.graph)) + G.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) + if reciprocal is True: + G.add_edges_from( + (u, v, deepcopy(d)) + for u, nbrs in self._adj.items() + for v, d in nbrs.items() + if v in self._pred[u] + ) + else: + G.add_edges_from( + (u, v, deepcopy(d)) + for u, nbrs in self._adj.items() + for v, d in nbrs.items() + ) + return G + + def reverse(self, copy=True): + """Returns the reverse of the graph. + + The reverse is a graph with the same nodes and edges + but with the directions of the edges reversed. + + Parameters + ---------- + copy : bool optional (default=True) + If True, return a new DiGraph holding the reversed edges. + If False, the reverse graph is created using a view of + the original graph. + """ + if copy: + H = self.__class__() + H.graph.update(deepcopy(self.graph)) + H.add_nodes_from((n, deepcopy(d)) for n, d in self.nodes.items()) + H.add_edges_from((v, u, deepcopy(d)) for u, v, d in self.edges(data=True)) + return H + return nx.reverse_view(self) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/filters.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/filters.py new file mode 100644 index 0000000000000000000000000000000000000000..e989e22bb6d7e79b6eab34103edd263d82694fd4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/filters.py @@ -0,0 +1,95 @@ +"""Filter factories to hide or show sets of nodes and edges. + +These filters return the function used when creating `SubGraph`. +""" + +__all__ = [ + "no_filter", + "hide_nodes", + "hide_edges", + "hide_multiedges", + "hide_diedges", + "hide_multidiedges", + "show_nodes", + "show_edges", + "show_multiedges", + "show_diedges", + "show_multidiedges", +] + + +def no_filter(*items): + """Returns a filter function that always evaluates to True.""" + return True + + +def hide_nodes(nodes): + """Returns a filter function that hides specific nodes.""" + nodes = set(nodes) + return lambda node: node not in nodes + + +def hide_diedges(edges): + """Returns a filter function that hides specific directed edges.""" + edges = {(u, v) for u, v in edges} + return lambda u, v: (u, v) not in edges + + +def hide_edges(edges): + """Returns a filter function that hides specific undirected edges.""" + alledges = set(edges) | {(v, u) for (u, v) in edges} + return lambda u, v: (u, v) not in alledges + + +def hide_multidiedges(edges): + """Returns a filter function that hides specific multi-directed edges.""" + edges = {(u, v, k) for u, v, k in edges} + return lambda u, v, k: (u, v, k) not in edges + + +def hide_multiedges(edges): + """Returns a filter function that hides specific multi-undirected edges.""" + alledges = set(edges) | {(v, u, k) for (u, v, k) in edges} + return lambda u, v, k: (u, v, k) not in alledges + + +# write show_nodes as a class to make SubGraph pickleable +class show_nodes: + """Filter class to show specific nodes. + + Attach the set of nodes as an attribute to speed up this commonly used filter + + Note that another allowed attribute for filters is to store the number of nodes + on the filter as attribute `length` (used in `__len__`). It is a user + responsibility to ensure this attribute is accurate if present. + """ + + def __init__(self, nodes): + self.nodes = set(nodes) + + def __call__(self, node): + return node in self.nodes + + +def show_diedges(edges): + """Returns a filter function that shows specific directed edges.""" + edges = {(u, v) for u, v in edges} + return lambda u, v: (u, v) in edges + + +def show_edges(edges): + """Returns a filter function that shows specific undirected edges.""" + alledges = set(edges) | {(v, u) for (u, v) in edges} + return lambda u, v: (u, v) in alledges + + +def show_multidiedges(edges): + """Returns a filter function that shows specific multi-directed edges.""" + edges = {(u, v, k) for u, v, k in edges} + return lambda u, v, k: (u, v, k) in edges + + +def show_multiedges(edges): + """Returns a filter function that shows specific multi-undirected edges.""" + alledges = set(edges) | {(v, u, k) for (u, v, k) in edges} + return lambda u, v, k: (u, v, k) in alledges diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/function.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/function.py new file mode 100644 index 0000000000000000000000000000000000000000..7f42f93e7c68b6b015a7394ff48db2616254668f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/function.py @@ -0,0 +1,1407 @@ +"""Functional interface to graph methods and assorted utilities.""" + +from collections import Counter +from itertools import chain + +import networkx as nx +from networkx.utils import not_implemented_for, pairwise + +__all__ = [ + "nodes", + "edges", + "degree", + "degree_histogram", + "neighbors", + "number_of_nodes", + "number_of_edges", + "density", + "is_directed", + "freeze", + "is_frozen", + "subgraph", + "induced_subgraph", + "edge_subgraph", + "restricted_view", + "to_directed", + "to_undirected", + "add_star", + "add_path", + "add_cycle", + "create_empty_copy", + "set_node_attributes", + "get_node_attributes", + "remove_node_attributes", + "set_edge_attributes", + "get_edge_attributes", + "remove_edge_attributes", + "all_neighbors", + "non_neighbors", + "non_edges", + "common_neighbors", + "is_weighted", + "is_negatively_weighted", + "is_empty", + "selfloop_edges", + "nodes_with_selfloops", + "number_of_selfloops", + "path_weight", + "is_path", +] + + +def nodes(G): + """Returns a NodeView over the graph nodes. + + This function wraps the :func:`G.nodes ` property. + """ + return G.nodes() + + +def edges(G, nbunch=None): + """Returns an edge view of edges incident to nodes in nbunch. + + Return all edges if nbunch is unspecified or nbunch=None. + + For digraphs, edges=out_edges + + This function wraps the :func:`G.edges ` property. + """ + return G.edges(nbunch) + + +def degree(G, nbunch=None, weight=None): + """Returns a degree view of single node or of nbunch of nodes. + If nbunch is omitted, then return degrees of *all* nodes. + + This function wraps the :func:`G.degree ` property. + """ + return G.degree(nbunch, weight) + + +def neighbors(G, n): + """Returns an iterator over all neighbors of node n. + + This function wraps the :func:`G.neighbors ` function. + """ + return G.neighbors(n) + + +def number_of_nodes(G): + """Returns the number of nodes in the graph. + + This function wraps the :func:`G.number_of_nodes ` function. + """ + return G.number_of_nodes() + + +def number_of_edges(G): + """Returns the number of edges in the graph. + + This function wraps the :func:`G.number_of_edges ` function. + """ + return G.number_of_edges() + + +def density(G): + r"""Returns the density of a graph. + + The density for undirected graphs is + + .. math:: + + d = \frac{2m}{n(n-1)}, + + and for directed graphs is + + .. math:: + + d = \frac{m}{n(n-1)}, + + where `n` is the number of nodes and `m` is the number of edges in `G`. + + Notes + ----- + The density is 0 for a graph without edges and 1 for a complete graph. + The density of multigraphs can be higher than 1. + + Self loops are counted in the total number of edges so graphs with self + loops can have density higher than 1. + """ + n = number_of_nodes(G) + m = number_of_edges(G) + if m == 0 or n <= 1: + return 0 + d = m / (n * (n - 1)) + if not G.is_directed(): + d *= 2 + return d + + +def degree_histogram(G): + """Returns a list of the frequency of each degree value. + + Parameters + ---------- + G : Networkx graph + A graph + + Returns + ------- + hist : list + A list of frequencies of degrees. + The degree values are the index in the list. + + Notes + ----- + Note: the bins are width one, hence len(list) can be large + (Order(number_of_edges)) + """ + counts = Counter(d for n, d in G.degree()) + return [counts.get(i, 0) for i in range(max(counts) + 1 if counts else 0)] + + +def is_directed(G): + """Return True if graph is directed.""" + return G.is_directed() + + +def frozen(*args, **kwargs): + """Dummy method for raising errors when trying to modify frozen graphs""" + raise nx.NetworkXError("Frozen graph can't be modified") + + +def freeze(G): + """Modify graph to prevent further change by adding or removing + nodes or edges. + + Node and edge data can still be modified. + + Parameters + ---------- + G : graph + A NetworkX graph + + Examples + -------- + >>> G = nx.path_graph(4) + >>> G = nx.freeze(G) + >>> try: + ... G.add_edge(4, 5) + ... except nx.NetworkXError as err: + ... print(str(err)) + Frozen graph can't be modified + + Notes + ----- + To "unfreeze" a graph you must make a copy by creating a new graph object: + + >>> graph = nx.path_graph(4) + >>> frozen_graph = nx.freeze(graph) + >>> unfrozen_graph = nx.Graph(frozen_graph) + >>> nx.is_frozen(unfrozen_graph) + False + + See Also + -------- + is_frozen + """ + G.add_node = frozen + G.add_nodes_from = frozen + G.remove_node = frozen + G.remove_nodes_from = frozen + G.add_edge = frozen + G.add_edges_from = frozen + G.add_weighted_edges_from = frozen + G.remove_edge = frozen + G.remove_edges_from = frozen + G.clear = frozen + G.clear_edges = frozen + G.frozen = True + return G + + +def is_frozen(G): + """Returns True if graph is frozen. + + Parameters + ---------- + G : graph + A NetworkX graph + + See Also + -------- + freeze + """ + try: + return G.frozen + except AttributeError: + return False + + +def add_star(G_to_add_to, nodes_for_star, **attr): + """Add a star to Graph G_to_add_to. + + The first node in `nodes_for_star` is the middle of the star. + It is connected to all other nodes. + + Parameters + ---------- + G_to_add_to : graph + A NetworkX graph + nodes_for_star : iterable container + A container of nodes. + attr : keyword arguments, optional (default= no attributes) + Attributes to add to every edge in star. + + See Also + -------- + add_path, add_cycle + + Examples + -------- + >>> G = nx.Graph() + >>> nx.add_star(G, [0, 1, 2, 3]) + >>> nx.add_star(G, [10, 11, 12], weight=2) + """ + nlist = iter(nodes_for_star) + try: + v = next(nlist) + except StopIteration: + return + G_to_add_to.add_node(v) + edges = ((v, n) for n in nlist) + G_to_add_to.add_edges_from(edges, **attr) + + +def add_path(G_to_add_to, nodes_for_path, **attr): + """Add a path to the Graph G_to_add_to. + + Parameters + ---------- + G_to_add_to : graph + A NetworkX graph + nodes_for_path : iterable container + A container of nodes. A path will be constructed from + the nodes (in order) and added to the graph. + attr : keyword arguments, optional (default= no attributes) + Attributes to add to every edge in path. + + See Also + -------- + add_star, add_cycle + + Examples + -------- + >>> G = nx.Graph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> nx.add_path(G, [10, 11, 12], weight=7) + """ + nlist = iter(nodes_for_path) + try: + first_node = next(nlist) + except StopIteration: + return + G_to_add_to.add_node(first_node) + G_to_add_to.add_edges_from(pairwise(chain((first_node,), nlist)), **attr) + + +def add_cycle(G_to_add_to, nodes_for_cycle, **attr): + """Add a cycle to the Graph G_to_add_to. + + Parameters + ---------- + G_to_add_to : graph + A NetworkX graph + nodes_for_cycle: iterable container + A container of nodes. A cycle will be constructed from + the nodes (in order) and added to the graph. + attr : keyword arguments, optional (default= no attributes) + Attributes to add to every edge in cycle. + + See Also + -------- + add_path, add_star + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> nx.add_cycle(G, [0, 1, 2, 3]) + >>> nx.add_cycle(G, [10, 11, 12], weight=7) + """ + nlist = iter(nodes_for_cycle) + try: + first_node = next(nlist) + except StopIteration: + return + G_to_add_to.add_node(first_node) + G_to_add_to.add_edges_from( + pairwise(chain((first_node,), nlist), cyclic=True), **attr + ) + + +def subgraph(G, nbunch): + """Returns the subgraph induced on nodes in nbunch. + + Parameters + ---------- + G : graph + A NetworkX graph + + nbunch : list, iterable + A container of nodes that will be iterated through once (thus + it should be an iterator or be iterable). Each element of the + container should be a valid node type: any hashable type except + None. If nbunch is None, return all edges data in the graph. + Nodes in nbunch that are not in the graph will be (quietly) + ignored. + + Notes + ----- + subgraph(G) calls G.subgraph() + """ + return G.subgraph(nbunch) + + +def induced_subgraph(G, nbunch): + """Returns a SubGraph view of `G` showing only nodes in nbunch. + + The induced subgraph of a graph on a set of nodes N is the + graph with nodes N and edges from G which have both ends in N. + + Parameters + ---------- + G : NetworkX Graph + nbunch : node, container of nodes or None (for all nodes) + + Returns + ------- + subgraph : SubGraph View + A read-only view of the subgraph in `G` induced by the nodes. + Changes to the graph `G` will be reflected in the view. + + Notes + ----- + To create a mutable subgraph with its own copies of nodes + edges and attributes use `subgraph.copy()` or `Graph(subgraph)` + + For an inplace reduction of a graph to a subgraph you can remove nodes: + `G.remove_nodes_from(n in G if n not in set(nbunch))` + + If you are going to compute subgraphs of your subgraphs you could + end up with a chain of views that can be very slow once the chain + has about 15 views in it. If they are all induced subgraphs, you + can short-cut the chain by making them all subgraphs of the original + graph. The graph class method `G.subgraph` does this when `G` is + a subgraph. In contrast, this function allows you to choose to build + chains or not, as you wish. The returned subgraph is a view on `G`. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> H = nx.induced_subgraph(G, [0, 1, 3]) + >>> list(H.edges) + [(0, 1)] + >>> list(H.nodes) + [0, 1, 3] + """ + induced_nodes = nx.filters.show_nodes(G.nbunch_iter(nbunch)) + return nx.subgraph_view(G, filter_node=induced_nodes) + + +def edge_subgraph(G, edges): + """Returns a view of the subgraph induced by the specified edges. + + The induced subgraph contains each edge in `edges` and each + node incident to any of those edges. + + Parameters + ---------- + G : NetworkX Graph + edges : iterable + An iterable of edges. Edges not present in `G` are ignored. + + Returns + ------- + subgraph : SubGraph View + A read-only edge-induced subgraph of `G`. + Changes to `G` are reflected in the view. + + Notes + ----- + To create a mutable subgraph with its own copies of nodes + edges and attributes use `subgraph.copy()` or `Graph(subgraph)` + + If you create a subgraph of a subgraph recursively you can end up + with a chain of subgraphs that becomes very slow with about 15 + nested subgraph views. Luckily the edge_subgraph filter nests + nicely so you can use the original graph as G in this function + to avoid chains. We do not rule out chains programmatically so + that odd cases like an `edge_subgraph` of a `restricted_view` + can be created. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> H = G.edge_subgraph([(0, 1), (3, 4)]) + >>> list(H.nodes) + [0, 1, 3, 4] + >>> list(H.edges) + [(0, 1), (3, 4)] + """ + nxf = nx.filters + edges = set(edges) + nodes = set() + for e in edges: + nodes.update(e[:2]) + induced_nodes = nxf.show_nodes(nodes) + if G.is_multigraph(): + if G.is_directed(): + induced_edges = nxf.show_multidiedges(edges) + else: + induced_edges = nxf.show_multiedges(edges) + else: + if G.is_directed(): + induced_edges = nxf.show_diedges(edges) + else: + induced_edges = nxf.show_edges(edges) + return nx.subgraph_view(G, filter_node=induced_nodes, filter_edge=induced_edges) + + +def restricted_view(G, nodes, edges): + """Returns a view of `G` with hidden nodes and edges. + + The resulting subgraph filters out node `nodes` and edges `edges`. + Filtered out nodes also filter out any of their edges. + + Parameters + ---------- + G : NetworkX Graph + nodes : iterable + An iterable of nodes. Nodes not present in `G` are ignored. + edges : iterable + An iterable of edges. Edges not present in `G` are ignored. + + Returns + ------- + subgraph : SubGraph View + A read-only restricted view of `G` filtering out nodes and edges. + Changes to `G` are reflected in the view. + + Notes + ----- + To create a mutable subgraph with its own copies of nodes + edges and attributes use `subgraph.copy()` or `Graph(subgraph)` + + If you create a subgraph of a subgraph recursively you may end up + with a chain of subgraph views. Such chains can get quite slow + for lengths near 15. To avoid long chains, try to make your subgraph + based on the original graph. We do not rule out chains programmatically + so that odd cases like an `edge_subgraph` of a `restricted_view` + can be created. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> H = nx.restricted_view(G, [0], [(1, 2), (3, 4)]) + >>> list(H.nodes) + [1, 2, 3, 4] + >>> list(H.edges) + [(2, 3)] + """ + nxf = nx.filters + hide_nodes = nxf.hide_nodes(nodes) + if G.is_multigraph(): + if G.is_directed(): + hide_edges = nxf.hide_multidiedges(edges) + else: + hide_edges = nxf.hide_multiedges(edges) + else: + if G.is_directed(): + hide_edges = nxf.hide_diedges(edges) + else: + hide_edges = nxf.hide_edges(edges) + return nx.subgraph_view(G, filter_node=hide_nodes, filter_edge=hide_edges) + + +def to_directed(graph): + """Returns a directed view of the graph `graph`. + + Identical to graph.to_directed(as_view=True) + Note that graph.to_directed defaults to `as_view=False` + while this function always provides a view. + """ + return graph.to_directed(as_view=True) + + +def to_undirected(graph): + """Returns an undirected view of the graph `graph`. + + Identical to graph.to_undirected(as_view=True) + Note that graph.to_undirected defaults to `as_view=False` + while this function always provides a view. + """ + return graph.to_undirected(as_view=True) + + +def create_empty_copy(G, with_data=True): + """Returns a copy of the graph G with all of the edges removed. + + Parameters + ---------- + G : graph + A NetworkX graph + + with_data : bool (default=True) + Propagate Graph and Nodes data to the new graph. + + See Also + -------- + empty_graph + + """ + H = G.__class__() + H.add_nodes_from(G.nodes(data=with_data)) + if with_data: + H.graph.update(G.graph) + return H + + +def set_node_attributes(G, values, name=None): + """Sets node attributes from a given value or dictionary of values. + + .. Warning:: The call order of arguments `values` and `name` + switched between v1.x & v2.x. + + Parameters + ---------- + G : NetworkX Graph + + values : scalar value, dict-like + What the node attribute should be set to. If `values` is + not a dictionary, then it is treated as a single attribute value + that is then applied to every node in `G`. This means that if + you provide a mutable object, like a list, updates to that object + will be reflected in the node attribute for every node. + The attribute name will be `name`. + + If `values` is a dict or a dict of dict, it should be keyed + by node to either an attribute value or a dict of attribute key/value + pairs used to update the node's attributes. + + name : string (optional, default=None) + Name of the node attribute to set if values is a scalar. + + Examples + -------- + After computing some property of the nodes of a graph, you may want + to assign a node attribute to store the value of that property for + each node:: + + >>> G = nx.path_graph(3) + >>> bb = nx.betweenness_centrality(G) + >>> isinstance(bb, dict) + True + >>> nx.set_node_attributes(G, bb, "betweenness") + >>> G.nodes[1]["betweenness"] + 1.0 + + If you provide a list as the second argument, updates to the list + will be reflected in the node attribute for each node:: + + >>> G = nx.path_graph(3) + >>> labels = [] + >>> nx.set_node_attributes(G, labels, "labels") + >>> labels.append("foo") + >>> G.nodes[0]["labels"] + ['foo'] + >>> G.nodes[1]["labels"] + ['foo'] + >>> G.nodes[2]["labels"] + ['foo'] + + If you provide a dictionary of dictionaries as the second argument, + the outer dictionary is assumed to be keyed by node to an inner + dictionary of node attributes for that node:: + + >>> G = nx.path_graph(3) + >>> attrs = {0: {"attr1": 20, "attr2": "nothing"}, 1: {"attr2": 3}} + >>> nx.set_node_attributes(G, attrs) + >>> G.nodes[0]["attr1"] + 20 + >>> G.nodes[0]["attr2"] + 'nothing' + >>> G.nodes[1]["attr2"] + 3 + >>> G.nodes[2] + {} + + Note that if the dictionary contains nodes that are not in `G`, the + values are silently ignored:: + + >>> G = nx.Graph() + >>> G.add_node(0) + >>> nx.set_node_attributes(G, {0: "red", 1: "blue"}, name="color") + >>> G.nodes[0]["color"] + 'red' + >>> 1 in G.nodes + False + + """ + # Set node attributes based on type of `values` + if name is not None: # `values` must not be a dict of dict + try: # `values` is a dict + for n, v in values.items(): + try: + G.nodes[n][name] = values[n] + except KeyError: + pass + except AttributeError: # `values` is a constant + for n in G: + G.nodes[n][name] = values + else: # `values` must be dict of dict + for n, d in values.items(): + try: + G.nodes[n].update(d) + except KeyError: + pass + nx._clear_cache(G) + + +def get_node_attributes(G, name, default=None): + """Get node attributes from graph + + Parameters + ---------- + G : NetworkX Graph + + name : string + Attribute name + + default: object (default=None) + Default value of the node attribute if there is no value set for that + node in graph. If `None` then nodes without this attribute are not + included in the returned dict. + + Returns + ------- + Dictionary of attributes keyed by node. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_nodes_from([1, 2, 3], color="red") + >>> color = nx.get_node_attributes(G, "color") + >>> color[1] + 'red' + >>> G.add_node(4) + >>> color = nx.get_node_attributes(G, "color", default="yellow") + >>> color[4] + 'yellow' + """ + if default is not None: + return {n: d.get(name, default) for n, d in G.nodes.items()} + return {n: d[name] for n, d in G.nodes.items() if name in d} + + +def remove_node_attributes(G, *attr_names, nbunch=None): + """Remove node attributes from all nodes in the graph. + + Parameters + ---------- + G : NetworkX Graph + + *attr_names : List of Strings + The attribute names to remove from the graph. + + nbunch : List of Nodes + Remove the node attributes only from the nodes in this list. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_nodes_from([1, 2, 3], color="blue") + >>> nx.get_node_attributes(G, "color") + {1: 'blue', 2: 'blue', 3: 'blue'} + >>> nx.remove_node_attributes(G, "color") + >>> nx.get_node_attributes(G, "color") + {} + """ + + if nbunch is None: + nbunch = G.nodes() + + for attr in attr_names: + for n, d in G.nodes(data=True): + if n in nbunch: + try: + del d[attr] + except KeyError: + pass + + +def set_edge_attributes(G, values, name=None): + """Sets edge attributes from a given value or dictionary of values. + + .. Warning:: The call order of arguments `values` and `name` + switched between v1.x & v2.x. + + Parameters + ---------- + G : NetworkX Graph + + values : scalar value, dict-like + What the edge attribute should be set to. If `values` is + not a dictionary, then it is treated as a single attribute value + that is then applied to every edge in `G`. This means that if + you provide a mutable object, like a list, updates to that object + will be reflected in the edge attribute for each edge. The attribute + name will be `name`. + + If `values` is a dict or a dict of dict, it should be keyed + by edge tuple to either an attribute value or a dict of attribute + key/value pairs used to update the edge's attributes. + For multigraphs, the edge tuples must be of the form ``(u, v, key)``, + where `u` and `v` are nodes and `key` is the edge key. + For non-multigraphs, the keys must be tuples of the form ``(u, v)``. + + name : string (optional, default=None) + Name of the edge attribute to set if values is a scalar. + + Examples + -------- + After computing some property of the edges of a graph, you may want + to assign a edge attribute to store the value of that property for + each edge:: + + >>> G = nx.path_graph(3) + >>> bb = nx.edge_betweenness_centrality(G, normalized=False) + >>> nx.set_edge_attributes(G, bb, "betweenness") + >>> G.edges[1, 2]["betweenness"] + 2.0 + + If you provide a list as the second argument, updates to the list + will be reflected in the edge attribute for each edge:: + + >>> labels = [] + >>> nx.set_edge_attributes(G, labels, "labels") + >>> labels.append("foo") + >>> G.edges[0, 1]["labels"] + ['foo'] + >>> G.edges[1, 2]["labels"] + ['foo'] + + If you provide a dictionary of dictionaries as the second argument, + the entire dictionary will be used to update edge attributes:: + + >>> G = nx.path_graph(3) + >>> attrs = {(0, 1): {"attr1": 20, "attr2": "nothing"}, (1, 2): {"attr2": 3}} + >>> nx.set_edge_attributes(G, attrs) + >>> G[0][1]["attr1"] + 20 + >>> G[0][1]["attr2"] + 'nothing' + >>> G[1][2]["attr2"] + 3 + + The attributes of one Graph can be used to set those of another. + + >>> H = nx.path_graph(3) + >>> nx.set_edge_attributes(H, G.edges) + + Note that if the dict contains edges that are not in `G`, they are + silently ignored:: + + >>> G = nx.Graph([(0, 1)]) + >>> nx.set_edge_attributes(G, {(1, 2): {"weight": 2.0}}) + >>> (1, 2) in G.edges() + False + + For multigraphs, the `values` dict is expected to be keyed by 3-tuples + including the edge key:: + + >>> MG = nx.MultiGraph() + >>> edges = [(0, 1), (0, 1)] + >>> MG.add_edges_from(edges) # Returns list of edge keys + [0, 1] + >>> attributes = {(0, 1, 0): {"cost": 21}, (0, 1, 1): {"cost": 7}} + >>> nx.set_edge_attributes(MG, attributes) + >>> MG[0][1][0]["cost"] + 21 + >>> MG[0][1][1]["cost"] + 7 + + If MultiGraph attributes are desired for a Graph, you must convert the 3-tuple + multiedge to a 2-tuple edge and the last multiedge's attribute value will + overwrite the previous values. Continuing from the previous case we get:: + + >>> H = nx.path_graph([0, 1, 2]) + >>> nx.set_edge_attributes(H, {(u, v): ed for u, v, ed in MG.edges.data()}) + >>> nx.get_edge_attributes(H, "cost") + {(0, 1): 7} + + """ + if name is not None: + # `values` does not contain attribute names + try: + # if `values` is a dict using `.items()` => {edge: value} + if G.is_multigraph(): + for (u, v, key), value in values.items(): + try: + G._adj[u][v][key][name] = value + except KeyError: + pass + else: + for (u, v), value in values.items(): + try: + G._adj[u][v][name] = value + except KeyError: + pass + except AttributeError: + # treat `values` as a constant + for u, v, data in G.edges(data=True): + data[name] = values + else: + # `values` consists of doct-of-dict {edge: {attr: value}} shape + if G.is_multigraph(): + for (u, v, key), d in values.items(): + try: + G._adj[u][v][key].update(d) + except KeyError: + pass + else: + for (u, v), d in values.items(): + try: + G._adj[u][v].update(d) + except KeyError: + pass + nx._clear_cache(G) + + +def get_edge_attributes(G, name, default=None): + """Get edge attributes from graph + + Parameters + ---------- + G : NetworkX Graph + + name : string + Attribute name + + default: object (default=None) + Default value of the edge attribute if there is no value set for that + edge in graph. If `None` then edges without this attribute are not + included in the returned dict. + + Returns + ------- + Dictionary of attributes keyed by edge. For (di)graphs, the keys are + 2-tuples of the form: (u, v). For multi(di)graphs, the keys are 3-tuples of + the form: (u, v, key). + + Examples + -------- + >>> G = nx.Graph() + >>> nx.add_path(G, [1, 2, 3], color="red") + >>> color = nx.get_edge_attributes(G, "color") + >>> color[(1, 2)] + 'red' + >>> G.add_edge(3, 4) + >>> color = nx.get_edge_attributes(G, "color", default="yellow") + >>> color[(3, 4)] + 'yellow' + """ + if G.is_multigraph(): + edges = G.edges(keys=True, data=True) + else: + edges = G.edges(data=True) + if default is not None: + return {x[:-1]: x[-1].get(name, default) for x in edges} + return {x[:-1]: x[-1][name] for x in edges if name in x[-1]} + + +def remove_edge_attributes(G, *attr_names, ebunch=None): + """Remove edge attributes from all edges in the graph. + + Parameters + ---------- + G : NetworkX Graph + + *attr_names : List of Strings + The attribute names to remove from the graph. + + Examples + -------- + >>> G = nx.path_graph(3) + >>> nx.set_edge_attributes(G, {(u, v): u + v for u, v in G.edges()}, name="weight") + >>> nx.get_edge_attributes(G, "weight") + {(0, 1): 1, (1, 2): 3} + >>> remove_edge_attributes(G, "weight") + >>> nx.get_edge_attributes(G, "weight") + {} + """ + if ebunch is None: + ebunch = G.edges(keys=True) if G.is_multigraph() else G.edges() + + for attr in attr_names: + edges = ( + G.edges(keys=True, data=True) if G.is_multigraph() else G.edges(data=True) + ) + for *e, d in edges: + if tuple(e) in ebunch: + try: + del d[attr] + except KeyError: + pass + + +def all_neighbors(graph, node): + """Returns all of the neighbors of a node in the graph. + + If the graph is directed returns predecessors as well as successors. + + Parameters + ---------- + graph : NetworkX graph + Graph to find neighbors. + + node : node + The node whose neighbors will be returned. + + Returns + ------- + neighbors : iterator + Iterator of neighbors + """ + if graph.is_directed(): + values = chain(graph.predecessors(node), graph.successors(node)) + else: + values = graph.neighbors(node) + return values + + +def non_neighbors(graph, node): + """Returns the non-neighbors of the node in the graph. + + Parameters + ---------- + graph : NetworkX graph + Graph to find neighbors. + + node : node + The node whose neighbors will be returned. + + Returns + ------- + non_neighbors : set + Set of nodes in the graph that are not neighbors of the node. + """ + return graph._adj.keys() - graph._adj[node].keys() - {node} + + +def non_edges(graph): + """Returns the nonexistent edges in the graph. + + Parameters + ---------- + graph : NetworkX graph. + Graph to find nonexistent edges. + + Returns + ------- + non_edges : iterator + Iterator of edges that are not in the graph. + """ + if graph.is_directed(): + for u in graph: + for v in non_neighbors(graph, u): + yield (u, v) + else: + nodes = set(graph) + while nodes: + u = nodes.pop() + for v in nodes - set(graph[u]): + yield (u, v) + + +@not_implemented_for("directed") +def common_neighbors(G, u, v): + """Returns the common neighbors of two nodes in a graph. + + Parameters + ---------- + G : graph + A NetworkX undirected graph. + + u, v : nodes + Nodes in the graph. + + Returns + ------- + cnbors : set + Set of common neighbors of u and v in the graph. + + Raises + ------ + NetworkXError + If u or v is not a node in the graph. + + Examples + -------- + >>> G = nx.complete_graph(5) + >>> sorted(nx.common_neighbors(G, 0, 1)) + [2, 3, 4] + """ + if u not in G: + raise nx.NetworkXError("u is not in the graph.") + if v not in G: + raise nx.NetworkXError("v is not in the graph.") + + return G._adj[u].keys() & G._adj[v].keys() - {u, v} + + +def is_weighted(G, edge=None, weight="weight"): + """Returns True if `G` has weighted edges. + + Parameters + ---------- + G : graph + A NetworkX graph. + + edge : tuple, optional + A 2-tuple specifying the only edge in `G` that will be tested. If + None, then every edge in `G` is tested. + + weight: string, optional + The attribute name used to query for edge weights. + + Returns + ------- + bool + A boolean signifying if `G`, or the specified edge, is weighted. + + Raises + ------ + NetworkXError + If the specified edge does not exist. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.is_weighted(G) + False + >>> nx.is_weighted(G, (2, 3)) + False + + >>> G = nx.DiGraph() + >>> G.add_edge(1, 2, weight=1) + >>> nx.is_weighted(G) + True + + """ + if edge is not None: + data = G.get_edge_data(*edge) + if data is None: + msg = f"Edge {edge!r} does not exist." + raise nx.NetworkXError(msg) + return weight in data + + if is_empty(G): + # Special handling required since: all([]) == True + return False + + return all(weight in data for u, v, data in G.edges(data=True)) + + +@nx._dispatchable(edge_attrs="weight") +def is_negatively_weighted(G, edge=None, weight="weight"): + """Returns True if `G` has negatively weighted edges. + + Parameters + ---------- + G : graph + A NetworkX graph. + + edge : tuple, optional + A 2-tuple specifying the only edge in `G` that will be tested. If + None, then every edge in `G` is tested. + + weight: string, optional + The attribute name used to query for edge weights. + + Returns + ------- + bool + A boolean signifying if `G`, or the specified edge, is negatively + weighted. + + Raises + ------ + NetworkXError + If the specified edge does not exist. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_edges_from([(1, 3), (2, 4), (2, 6)]) + >>> G.add_edge(1, 2, weight=4) + >>> nx.is_negatively_weighted(G, (1, 2)) + False + >>> G[2][4]["weight"] = -2 + >>> nx.is_negatively_weighted(G) + True + >>> G = nx.DiGraph() + >>> edges = [("0", "3", 3), ("0", "1", -5), ("1", "0", -2)] + >>> G.add_weighted_edges_from(edges) + >>> nx.is_negatively_weighted(G) + True + + """ + if edge is not None: + data = G.get_edge_data(*edge) + if data is None: + msg = f"Edge {edge!r} does not exist." + raise nx.NetworkXError(msg) + return weight in data and data[weight] < 0 + + return any(weight in data and data[weight] < 0 for u, v, data in G.edges(data=True)) + + +def is_empty(G): + """Returns True if `G` has no edges. + + Parameters + ---------- + G : graph + A NetworkX graph. + + Returns + ------- + bool + True if `G` has no edges, and False otherwise. + + Notes + ----- + An empty graph can have nodes but not edges. The empty graph with zero + nodes is known as the null graph. This is an $O(n)$ operation where n + is the number of nodes in the graph. + + """ + return not any(G._adj.values()) + + +def nodes_with_selfloops(G): + """Returns an iterator over nodes with self loops. + + A node with a self loop has an edge with both ends adjacent + to that node. + + Returns + ------- + nodelist : iterator + A iterator over nodes with self loops. + + See Also + -------- + selfloop_edges, number_of_selfloops + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_edge(1, 1) + >>> G.add_edge(1, 2) + >>> list(nx.nodes_with_selfloops(G)) + [1] + + """ + return (n for n, nbrs in G._adj.items() if n in nbrs) + + +def selfloop_edges(G, data=False, keys=False, default=None): + """Returns an iterator over selfloop edges. + + A selfloop edge has the same node at both ends. + + Parameters + ---------- + G : graph + A NetworkX graph. + data : string or bool, optional (default=False) + Return selfloop edges as two tuples (u, v) (data=False) + or three-tuples (u, v, datadict) (data=True) + or three-tuples (u, v, datavalue) (data='attrname') + keys : bool, optional (default=False) + If True, return edge keys with each edge. + default : value, optional (default=None) + Value used for edges that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + edgeiter : iterator over edge tuples + An iterator over all selfloop edges. + + See Also + -------- + nodes_with_selfloops, number_of_selfloops + + Examples + -------- + >>> G = nx.MultiGraph() # or Graph, DiGraph, MultiDiGraph, etc + >>> ekey = G.add_edge(1, 1) + >>> ekey = G.add_edge(1, 2) + >>> list(nx.selfloop_edges(G)) + [(1, 1)] + >>> list(nx.selfloop_edges(G, data=True)) + [(1, 1, {})] + >>> list(nx.selfloop_edges(G, keys=True)) + [(1, 1, 0)] + >>> list(nx.selfloop_edges(G, keys=True, data=True)) + [(1, 1, 0, {})] + """ + if data is True: + if G.is_multigraph(): + if keys is True: + return ( + (n, n, k, d) + for n, nbrs in G._adj.items() + if n in nbrs + for k, d in nbrs[n].items() + ) + else: + return ( + (n, n, d) + for n, nbrs in G._adj.items() + if n in nbrs + for d in nbrs[n].values() + ) + else: + return ((n, n, nbrs[n]) for n, nbrs in G._adj.items() if n in nbrs) + elif data is not False: + if G.is_multigraph(): + if keys is True: + return ( + (n, n, k, d.get(data, default)) + for n, nbrs in G._adj.items() + if n in nbrs + for k, d in nbrs[n].items() + ) + else: + return ( + (n, n, d.get(data, default)) + for n, nbrs in G._adj.items() + if n in nbrs + for d in nbrs[n].values() + ) + else: + return ( + (n, n, nbrs[n].get(data, default)) + for n, nbrs in G._adj.items() + if n in nbrs + ) + else: + if G.is_multigraph(): + if keys is True: + return ( + (n, n, k) + for n, nbrs in G._adj.items() + if n in nbrs + for k in nbrs[n] + ) + else: + return ( + (n, n) + for n, nbrs in G._adj.items() + if n in nbrs + for i in range(len(nbrs[n])) # for easy edge removal (#4068) + ) + else: + return ((n, n) for n, nbrs in G._adj.items() if n in nbrs) + + +def number_of_selfloops(G): + """Returns the number of selfloop edges. + + A selfloop edge has the same node at both ends. + + Returns + ------- + nloops : int + The number of selfloops. + + See Also + -------- + nodes_with_selfloops, selfloop_edges + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_edge(1, 1) + >>> G.add_edge(1, 2) + >>> nx.number_of_selfloops(G) + 1 + """ + return sum(1 for _ in nx.selfloop_edges(G)) + + +def is_path(G, path): + """Returns whether or not the specified path exists. + + For it to return True, every node on the path must exist and + each consecutive pair must be connected via one or more edges. + + Parameters + ---------- + G : graph + A NetworkX graph. + + path : list + A list of nodes which defines the path to traverse + + Returns + ------- + bool + True if `path` is a valid path in `G` + + """ + try: + return all(nbr in G._adj[node] for node, nbr in nx.utils.pairwise(path)) + except (KeyError, TypeError): + return False + + +def path_weight(G, path, weight): + """Returns total cost associated with specified path and weight + + Parameters + ---------- + G : graph + A NetworkX graph. + + path: list + A list of node labels which defines the path to traverse + + weight: string + A string indicating which edge attribute to use for path cost + + Returns + ------- + cost: int or float + An integer or a float representing the total cost with respect to the + specified weight of the specified path + + Raises + ------ + NetworkXNoPath + If the specified edge does not exist. + """ + multigraph = G.is_multigraph() + cost = 0 + + if not nx.is_path(G, path): + raise nx.NetworkXNoPath("path does not exist") + for node, nbr in nx.utils.pairwise(path): + if multigraph: + cost += min(v[weight] for v in G._adj[node][nbr].values()) + else: + cost += G._adj[node][nbr][weight] + return cost diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/graph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/graph.py new file mode 100644 index 0000000000000000000000000000000000000000..6828705d128b5bb667f04977d3aa5d58ca83a247 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/graph.py @@ -0,0 +1,2058 @@ +"""Base class for undirected graphs. + +The Graph class allows any hashable object as a node +and can associate key/value attribute pairs with each undirected edge. + +Self-loops are allowed but multiple edges are not (see MultiGraph). + +For directed graphs see DiGraph and MultiDiGraph. +""" + +from copy import deepcopy +from functools import cached_property + +import networkx as nx +from networkx import convert +from networkx.classes.coreviews import AdjacencyView +from networkx.classes.reportviews import DegreeView, EdgeView, NodeView +from networkx.exception import NetworkXError + +__all__ = ["Graph"] + + +class _CachedPropertyResetterAdj: + """Data Descriptor class for _adj that resets ``adj`` cached_property when needed + + This assumes that the ``cached_property`` ``G.adj`` should be reset whenever + ``G._adj`` is set to a new value. + + This object sits on a class and ensures that any instance of that + class clears its cached property "adj" whenever the underlying + instance attribute "_adj" is set to a new object. It only affects + the set process of the obj._adj attribute. All get/del operations + act as they normally would. + + For info on Data Descriptors see: https://docs.python.org/3/howto/descriptor.html + """ + + def __set__(self, obj, value): + od = obj.__dict__ + od["_adj"] = value + # reset cached properties + props = ["adj", "edges", "degree"] + for prop in props: + if prop in od: + del od[prop] + + +class _CachedPropertyResetterNode: + """Data Descriptor class for _node that resets ``nodes`` cached_property when needed + + This assumes that the ``cached_property`` ``G.node`` should be reset whenever + ``G._node`` is set to a new value. + + This object sits on a class and ensures that any instance of that + class clears its cached property "nodes" whenever the underlying + instance attribute "_node" is set to a new object. It only affects + the set process of the obj._adj attribute. All get/del operations + act as they normally would. + + For info on Data Descriptors see: https://docs.python.org/3/howto/descriptor.html + """ + + def __set__(self, obj, value): + od = obj.__dict__ + od["_node"] = value + # reset cached properties + if "nodes" in od: + del od["nodes"] + + +class Graph: + """ + Base class for undirected graphs. + + A Graph stores nodes and edges with optional data, or attributes. + + Graphs hold undirected edges. Self loops are allowed but multiple + (parallel) edges are not. + + Nodes can be arbitrary (hashable) Python objects with optional + key/value attributes, except that `None` is not allowed as a node. + + Edges are represented as links between nodes with optional + key/value attributes. + + Parameters + ---------- + incoming_graph_data : input graph (optional, default: None) + Data to initialize graph. If None (default) an empty + graph is created. The data can be any format that is supported + by the to_networkx_graph() function, currently including edge list, + dict of dicts, dict of lists, NetworkX graph, 2D NumPy array, SciPy + sparse matrix, or PyGraphviz graph. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + DiGraph + MultiGraph + MultiDiGraph + + Examples + -------- + Create an empty graph structure (a "null graph") with no nodes and + no edges. + + >>> G = nx.Graph() + + G can be grown in several ways. + + **Nodes:** + + Add one node at a time: + + >>> G.add_node(1) + + Add the nodes from any container (a list, dict, set or + even the lines from a file or the nodes from another graph). + + >>> G.add_nodes_from([2, 3]) + >>> G.add_nodes_from(range(100, 110)) + >>> H = nx.path_graph(10) + >>> G.add_nodes_from(H) + + In addition to strings and integers any hashable Python object + (except None) can represent a node, e.g. a customized node object, + or even another Graph. + + >>> G.add_node(H) + + **Edges:** + + G can also be grown by adding edges. + + Add one edge, + + >>> G.add_edge(1, 2) + + a list of edges, + + >>> G.add_edges_from([(1, 2), (1, 3)]) + + or a collection of edges, + + >>> G.add_edges_from(H.edges) + + If some edges connect nodes not yet in the graph, the nodes + are added automatically. There are no errors when adding + nodes or edges that already exist. + + **Attributes:** + + Each graph, node, and edge can hold key/value attribute pairs + in an associated attribute dictionary (the keys must be hashable). + By default these are empty, but can be added or changed using + add_edge, add_node or direct manipulation of the attribute + dictionaries named graph, node and edge respectively. + + >>> G = nx.Graph(day="Friday") + >>> G.graph + {'day': 'Friday'} + + Add node attributes using add_node(), add_nodes_from() or G.nodes + + >>> G.add_node(1, time="5pm") + >>> G.add_nodes_from([3], time="2pm") + >>> G.nodes[1] + {'time': '5pm'} + >>> G.nodes[1]["room"] = 714 # node must exist already to use G.nodes + >>> del G.nodes[1]["room"] # remove attribute + >>> list(G.nodes(data=True)) + [(1, {'time': '5pm'}), (3, {'time': '2pm'})] + + Add edge attributes using add_edge(), add_edges_from(), subscript + notation, or G.edges. + + >>> G.add_edge(1, 2, weight=4.7) + >>> G.add_edges_from([(3, 4), (4, 5)], color="red") + >>> G.add_edges_from([(1, 2, {"color": "blue"}), (2, 3, {"weight": 8})]) + >>> G[1][2]["weight"] = 4.7 + >>> G.edges[1, 2]["weight"] = 4 + + Warning: we protect the graph data structure by making `G.edges` a + read-only dict-like structure. However, you can assign to attributes + in e.g. `G.edges[1, 2]`. Thus, use 2 sets of brackets to add/change + data attributes: `G.edges[1, 2]['weight'] = 4` + (For multigraphs: `MG.edges[u, v, key][name] = value`). + + **Shortcuts:** + + Many common graph features allow python syntax to speed reporting. + + >>> 1 in G # check if node in graph + True + >>> [n for n in G if n < 3] # iterate through nodes + [1, 2] + >>> len(G) # number of nodes in graph + 5 + + Often the best way to traverse all edges of a graph is via the neighbors. + The neighbors are reported as an adjacency-dict `G.adj` or `G.adjacency()` + + >>> for n, nbrsdict in G.adjacency(): + ... for nbr, eattr in nbrsdict.items(): + ... if "weight" in eattr: + ... # Do something useful with the edges + ... pass + + But the edges() method is often more convenient: + + >>> for u, v, weight in G.edges.data("weight"): + ... if weight is not None: + ... # Do something useful with the edges + ... pass + + **Reporting:** + + Simple graph information is obtained using object-attributes and methods. + Reporting typically provides views instead of containers to reduce memory + usage. The views update as the graph is updated similarly to dict-views. + The objects `nodes`, `edges` and `adj` provide access to data attributes + via lookup (e.g. `nodes[n]`, `edges[u, v]`, `adj[u][v]`) and iteration + (e.g. `nodes.items()`, `nodes.data('color')`, + `nodes.data('color', default='blue')` and similarly for `edges`) + Views exist for `nodes`, `edges`, `neighbors()`/`adj` and `degree`. + + For details on these and other miscellaneous methods, see below. + + **Subclasses (Advanced):** + + The Graph class uses a dict-of-dict-of-dict data structure. + The outer dict (node_dict) holds adjacency information keyed by node. + The next dict (adjlist_dict) represents the adjacency information and holds + edge data keyed by neighbor. The inner dict (edge_attr_dict) represents + the edge data and holds edge attribute values keyed by attribute names. + + Each of these three dicts can be replaced in a subclass by a user defined + dict-like object. In general, the dict-like features should be + maintained but extra features can be added. To replace one of the + dicts create a new graph class by changing the class(!) variable + holding the factory for that dict-like structure. + + node_dict_factory : function, (default: dict) + Factory function to be used to create the dict containing node + attributes, keyed by node id. + It should require no arguments and return a dict-like object + + node_attr_dict_factory: function, (default: dict) + Factory function to be used to create the node attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object + + adjlist_outer_dict_factory : function, (default: dict) + Factory function to be used to create the outer-most dict + in the data structure that holds adjacency info keyed by node. + It should require no arguments and return a dict-like object. + + adjlist_inner_dict_factory : function, (default: dict) + Factory function to be used to create the adjacency list + dict which holds edge data keyed by neighbor. + It should require no arguments and return a dict-like object + + edge_attr_dict_factory : function, (default: dict) + Factory function to be used to create the edge attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + graph_attr_dict_factory : function, (default: dict) + Factory function to be used to create the graph attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + Typically, if your extension doesn't impact the data structure all + methods will inherit without issue except: `to_directed/to_undirected`. + By default these methods create a DiGraph/Graph class and you probably + want them to create your extension of a DiGraph/Graph. To facilitate + this we define two class variables that you can set in your subclass. + + to_directed_class : callable, (default: DiGraph or MultiDiGraph) + Class to create a new graph structure in the `to_directed` method. + If `None`, a NetworkX class (DiGraph or MultiDiGraph) is used. + + to_undirected_class : callable, (default: Graph or MultiGraph) + Class to create a new graph structure in the `to_undirected` method. + If `None`, a NetworkX class (Graph or MultiGraph) is used. + + **Subclassing Example** + + Create a low memory graph class that effectively disallows edge + attributes by using a single attribute dict for all edges. + This reduces the memory used, but you lose edge attributes. + + >>> class ThinGraph(nx.Graph): + ... all_edge_dict = {"weight": 1} + ... + ... def single_edge_dict(self): + ... return self.all_edge_dict + ... + ... edge_attr_dict_factory = single_edge_dict + >>> G = ThinGraph() + >>> G.add_edge(2, 1) + >>> G[2][1] + {'weight': 1} + >>> G.add_edge(2, 2) + >>> G[2][1] is G[2][2] + True + """ + + __networkx_backend__ = "networkx" + + _adj = _CachedPropertyResetterAdj() + _node = _CachedPropertyResetterNode() + + node_dict_factory = dict + node_attr_dict_factory = dict + adjlist_outer_dict_factory = dict + adjlist_inner_dict_factory = dict + edge_attr_dict_factory = dict + graph_attr_dict_factory = dict + + def to_directed_class(self): + """Returns the class to use for empty directed copies. + + If you subclass the base classes, use this to designate + what directed class to use for `to_directed()` copies. + """ + return nx.DiGraph + + def to_undirected_class(self): + """Returns the class to use for empty undirected copies. + + If you subclass the base classes, use this to designate + what directed class to use for `to_directed()` copies. + """ + return Graph + + def __init__(self, incoming_graph_data=None, **attr): + """Initialize a graph with edges, name, or graph attributes. + + Parameters + ---------- + incoming_graph_data : input graph (optional, default: None) + Data to initialize graph. If None (default) an empty + graph is created. The data can be an edge list, or any + NetworkX graph object. If the corresponding optional Python + packages are installed the data can also be a 2D NumPy array, a + SciPy sparse array, or a PyGraphviz graph. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + convert + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G = nx.Graph(name="my graph") + >>> e = [(1, 2), (2, 3), (3, 4)] # list of edges + >>> G = nx.Graph(e) + + Arbitrary graph attribute pairs (key=value) may be assigned + + >>> G = nx.Graph(e, day="Friday") + >>> G.graph + {'day': 'Friday'} + + """ + self.graph = self.graph_attr_dict_factory() # dictionary for graph attributes + self._node = self.node_dict_factory() # empty node attribute dict + self._adj = self.adjlist_outer_dict_factory() # empty adjacency dict + self.__networkx_cache__ = {} + # attempt to load graph with data + if incoming_graph_data is not None: + convert.to_networkx_graph(incoming_graph_data, create_using=self) + # load graph attributes (must be after convert) + self.graph.update(attr) + + @cached_property + def adj(self): + """Graph adjacency object holding the neighbors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edge-data-dict. So `G.adj[3][2]['color'] = 'blue'` sets + the color of the edge `(3, 2)` to `"blue"`. + + Iterating over G.adj behaves like a dict. Useful idioms include + `for nbr, datadict in G.adj[n].items():`. + + The neighbor information is also provided by subscripting the graph. + So `for nbr, foovalue in G[node].data('foo', default=1):` works. + + For directed graphs, `G.adj` holds outgoing (successor) info. + """ + return AdjacencyView(self._adj) + + @property + def name(self): + """String identifier of the graph. + + This graph attribute appears in the attribute dict G.graph + keyed by the string `"name"`. as well as an attribute (technically + a property) `G.name`. This is entirely user controlled. + """ + return self.graph.get("name", "") + + @name.setter + def name(self, s): + self.graph["name"] = s + nx._clear_cache(self) + + def __str__(self): + """Returns a short summary of the graph. + + Returns + ------- + info : string + Graph information including the graph name (if any), graph type, and the + number of nodes and edges. + + Examples + -------- + >>> G = nx.Graph(name="foo") + >>> str(G) + "Graph named 'foo' with 0 nodes and 0 edges" + + >>> G = nx.path_graph(3) + >>> str(G) + 'Graph with 3 nodes and 2 edges' + + """ + return "".join( + [ + type(self).__name__, + f" named {self.name!r}" if self.name else "", + f" with {self.number_of_nodes()} nodes and {self.number_of_edges()} edges", + ] + ) + + def __iter__(self): + """Iterate over the nodes. Use: 'for n in G'. + + Returns + ------- + niter : iterator + An iterator over all nodes in the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> [n for n in G] + [0, 1, 2, 3] + >>> list(G) + [0, 1, 2, 3] + """ + return iter(self._node) + + def __contains__(self, n): + """Returns True if n is a node, False otherwise. Use: 'n in G'. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> 1 in G + True + """ + try: + return n in self._node + except TypeError: + return False + + def __len__(self): + """Returns the number of nodes in the graph. Use: 'len(G)'. + + Returns + ------- + nnodes : int + The number of nodes in the graph. + + See Also + -------- + number_of_nodes: identical method + order: identical method + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> len(G) + 4 + + """ + return len(self._node) + + def __getitem__(self, n): + """Returns a dict of neighbors of node n. Use: 'G[n]'. + + Parameters + ---------- + n : node + A node in the graph. + + Returns + ------- + adj_dict : dictionary + The adjacency dictionary for nodes connected to n. + + Notes + ----- + G[n] is the same as G.adj[n] and similar to G.neighbors(n) + (which is an iterator over G.adj[n]) + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G[0] + AtlasView({1: {}}) + """ + return self.adj[n] + + def add_node(self, node_for_adding, **attr): + """Add a single node `node_for_adding` and update node attributes. + + Parameters + ---------- + node_for_adding : node + A node can be any hashable Python object except None. + attr : keyword arguments, optional + Set or change node attributes using key=value. + + See Also + -------- + add_nodes_from + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_node(1) + >>> G.add_node("Hello") + >>> K3 = nx.Graph([(0, 1), (1, 2), (2, 0)]) + >>> G.add_node(K3) + >>> G.number_of_nodes() + 3 + + Use keywords set/change node attributes: + + >>> G.add_node(1, size=10) + >>> G.add_node(3, weight=0.4, UTM=("13S", 382871, 3972649)) + + Notes + ----- + A hashable object is one that can be used as a key in a Python + dictionary. This includes strings, numbers, tuples of strings + and numbers, etc. + + On many platforms hashable items also include mutables such as + NetworkX Graphs, though one should be careful that the hash + doesn't change on mutables. + """ + if node_for_adding not in self._node: + if node_for_adding is None: + raise ValueError("None cannot be a node") + self._adj[node_for_adding] = self.adjlist_inner_dict_factory() + attr_dict = self._node[node_for_adding] = self.node_attr_dict_factory() + attr_dict.update(attr) + else: # update attr even if node already exists + self._node[node_for_adding].update(attr) + nx._clear_cache(self) + + def add_nodes_from(self, nodes_for_adding, **attr): + """Add multiple nodes. + + Parameters + ---------- + nodes_for_adding : iterable container + A container of nodes (list, dict, set, etc.). + OR + A container of (node, attribute dict) tuples. + Node attributes are updated using the attribute dict. + attr : keyword arguments, optional (default= no attributes) + Update attributes for all nodes in nodes. + Node attributes specified in nodes as a tuple take + precedence over attributes specified via keyword arguments. + + See Also + -------- + add_node + + Notes + ----- + When adding nodes from an iterator over the graph you are changing, + a `RuntimeError` can be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_nodes)`, and pass this + object to `G.add_nodes_from`. + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_nodes_from("Hello") + >>> K3 = nx.Graph([(0, 1), (1, 2), (2, 0)]) + >>> G.add_nodes_from(K3) + >>> sorted(G.nodes(), key=str) + [0, 1, 2, 'H', 'e', 'l', 'o'] + + Use keywords to update specific node attributes for every node. + + >>> G.add_nodes_from([1, 2], size=10) + >>> G.add_nodes_from([3, 4], weight=0.4) + + Use (node, attrdict) tuples to update attributes for specific nodes. + + >>> G.add_nodes_from([(1, dict(size=11)), (2, {"color": "blue"})]) + >>> G.nodes[1]["size"] + 11 + >>> H = nx.Graph() + >>> H.add_nodes_from(G.nodes(data=True)) + >>> H.nodes[1]["size"] + 11 + + Evaluate an iterator over a graph if using it to modify the same graph + + >>> G = nx.Graph([(0, 1), (1, 2), (3, 4)]) + >>> # wrong way - will raise RuntimeError + >>> # G.add_nodes_from(n + 1 for n in G.nodes) + >>> # correct way + >>> G.add_nodes_from(list(n + 1 for n in G.nodes)) + """ + for n in nodes_for_adding: + try: + newnode = n not in self._node + newdict = attr + except TypeError: + n, ndict = n + newnode = n not in self._node + newdict = attr.copy() + newdict.update(ndict) + if newnode: + if n is None: + raise ValueError("None cannot be a node") + self._adj[n] = self.adjlist_inner_dict_factory() + self._node[n] = self.node_attr_dict_factory() + self._node[n].update(newdict) + nx._clear_cache(self) + + def remove_node(self, n): + """Remove node n. + + Removes the node n and all adjacent edges. + Attempting to remove a nonexistent node will raise an exception. + + Parameters + ---------- + n : node + A node in the graph + + Raises + ------ + NetworkXError + If n is not in the graph. + + See Also + -------- + remove_nodes_from + + Examples + -------- + >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> list(G.edges) + [(0, 1), (1, 2)] + >>> G.remove_node(1) + >>> list(G.edges) + [] + + """ + adj = self._adj + try: + nbrs = list(adj[n]) # list handles self-loops (allows mutation) + del self._node[n] + except KeyError as err: # NetworkXError if n not in self + raise NetworkXError(f"The node {n} is not in the graph.") from err + for u in nbrs: + del adj[u][n] # remove all edges n-u in graph + del adj[n] # now remove node + nx._clear_cache(self) + + def remove_nodes_from(self, nodes): + """Remove multiple nodes. + + Parameters + ---------- + nodes : iterable container + A container of nodes (list, dict, set, etc.). If a node + in the container is not in the graph it is silently + ignored. + + See Also + -------- + remove_node + + Notes + ----- + When removing nodes from an iterator over the graph you are changing, + a `RuntimeError` will be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_nodes)`, and pass this + object to `G.remove_nodes_from`. + + Examples + -------- + >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> e = list(G.nodes) + >>> e + [0, 1, 2] + >>> G.remove_nodes_from(e) + >>> list(G.nodes) + [] + + Evaluate an iterator over a graph if using it to modify the same graph + + >>> G = nx.Graph([(0, 1), (1, 2), (3, 4)]) + >>> # this command will fail, as the graph's dict is modified during iteration + >>> # G.remove_nodes_from(n for n in G.nodes if n < 2) + >>> # this command will work, since the dictionary underlying graph is not modified + >>> G.remove_nodes_from(list(n for n in G.nodes if n < 2)) + """ + adj = self._adj + for n in nodes: + try: + del self._node[n] + for u in list(adj[n]): # list handles self-loops + del adj[u][n] # (allows mutation of dict in loop) + del adj[n] + except KeyError: + pass + nx._clear_cache(self) + + @cached_property + def nodes(self): + """A NodeView of the Graph as G.nodes or G.nodes(). + + Can be used as `G.nodes` for data lookup and for set-like operations. + Can also be used as `G.nodes(data='color', default=None)` to return a + NodeDataView which reports specific node data but no set operations. + It presents a dict-like interface as well with `G.nodes.items()` + iterating over `(node, nodedata)` 2-tuples and `G.nodes[3]['foo']` + providing the value of the `foo` attribute for node `3`. In addition, + a view `G.nodes.data('foo')` provides a dict-like interface to the + `foo` attribute of each node. `G.nodes.data('foo', default=1)` + provides a default for nodes that do not have attribute `foo`. + + Parameters + ---------- + data : string or bool, optional (default=False) + The node attribute returned in 2-tuple (n, ddict[data]). + If True, return entire node attribute dict as (n, ddict). + If False, return just the nodes n. + + default : value, optional (default=None) + Value used for nodes that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + NodeView + Allows set-like operations over the nodes as well as node + attribute dict lookup and calling to get a NodeDataView. + A NodeDataView iterates over `(n, data)` and has no set operations. + A NodeView iterates over `n` and includes set operations. + + When called, if data is False, an iterator over nodes. + Otherwise an iterator of 2-tuples (node, attribute value) + where the attribute is specified in `data`. + If data is True then the attribute becomes the + entire data dictionary. + + Notes + ----- + If your node data is not needed, it is simpler and equivalent + to use the expression ``for n in G``, or ``list(G)``. + + Examples + -------- + There are two simple ways of getting a list of all nodes in the graph: + + >>> G = nx.path_graph(3) + >>> list(G.nodes) + [0, 1, 2] + >>> list(G) + [0, 1, 2] + + To get the node data along with the nodes: + + >>> G.add_node(1, time="5pm") + >>> G.nodes[0]["foo"] = "bar" + >>> list(G.nodes(data=True)) + [(0, {'foo': 'bar'}), (1, {'time': '5pm'}), (2, {})] + >>> list(G.nodes.data()) + [(0, {'foo': 'bar'}), (1, {'time': '5pm'}), (2, {})] + + >>> list(G.nodes(data="foo")) + [(0, 'bar'), (1, None), (2, None)] + >>> list(G.nodes.data("foo")) + [(0, 'bar'), (1, None), (2, None)] + + >>> list(G.nodes(data="time")) + [(0, None), (1, '5pm'), (2, None)] + >>> list(G.nodes.data("time")) + [(0, None), (1, '5pm'), (2, None)] + + >>> list(G.nodes(data="time", default="Not Available")) + [(0, 'Not Available'), (1, '5pm'), (2, 'Not Available')] + >>> list(G.nodes.data("time", default="Not Available")) + [(0, 'Not Available'), (1, '5pm'), (2, 'Not Available')] + + If some of your nodes have an attribute and the rest are assumed + to have a default attribute value you can create a dictionary + from node/attribute pairs using the `default` keyword argument + to guarantee the value is never None:: + + >>> G = nx.Graph() + >>> G.add_node(0) + >>> G.add_node(1, weight=2) + >>> G.add_node(2, weight=3) + >>> dict(G.nodes(data="weight", default=1)) + {0: 1, 1: 2, 2: 3} + + """ + return NodeView(self) + + def number_of_nodes(self): + """Returns the number of nodes in the graph. + + Returns + ------- + nnodes : int + The number of nodes in the graph. + + See Also + -------- + order: identical method + __len__: identical method + + Examples + -------- + >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.number_of_nodes() + 3 + """ + return len(self._node) + + def order(self): + """Returns the number of nodes in the graph. + + Returns + ------- + nnodes : int + The number of nodes in the graph. + + See Also + -------- + number_of_nodes: identical method + __len__: identical method + + Examples + -------- + >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.order() + 3 + """ + return len(self._node) + + def has_node(self, n): + """Returns True if the graph contains the node n. + + Identical to `n in G` + + Parameters + ---------- + n : node + + Examples + -------- + >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.has_node(0) + True + + It is more readable and simpler to use + + >>> 0 in G + True + + """ + try: + return n in self._node + except TypeError: + return False + + def add_edge(self, u_of_edge, v_of_edge, **attr): + """Add an edge between u and v. + + The nodes u and v will be automatically added if they are + not already in the graph. + + Edge attributes can be specified with keywords or by directly + accessing the edge's attribute dictionary. See examples below. + + Parameters + ---------- + u_of_edge, v_of_edge : nodes + Nodes can be, for example, strings or numbers. + Nodes must be hashable (and not None) Python objects. + attr : keyword arguments, optional + Edge data (or labels or objects) can be assigned using + keyword arguments. + + See Also + -------- + add_edges_from : add a collection of edges + + Notes + ----- + Adding an edge that already exists updates the edge data. + + Many NetworkX algorithms designed for weighted graphs use + an edge attribute (by default `weight`) to hold a numerical value. + + Examples + -------- + The following all add the edge e=(1, 2) to graph G: + + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> e = (1, 2) + >>> G.add_edge(1, 2) # explicit two-node form + >>> G.add_edge(*e) # single edge as tuple of two nodes + >>> G.add_edges_from([(1, 2)]) # add edges from iterable container + + Associate data to edges using keywords: + + >>> G.add_edge(1, 2, weight=3) + >>> G.add_edge(1, 3, weight=7, capacity=15, length=342.7) + + For non-string attribute keys, use subscript notation. + + >>> G.add_edge(1, 2) + >>> G[1][2].update({0: 5}) + >>> G.edges[1, 2].update({0: 5}) + """ + u, v = u_of_edge, v_of_edge + # add nodes + if u not in self._node: + if u is None: + raise ValueError("None cannot be a node") + self._adj[u] = self.adjlist_inner_dict_factory() + self._node[u] = self.node_attr_dict_factory() + if v not in self._node: + if v is None: + raise ValueError("None cannot be a node") + self._adj[v] = self.adjlist_inner_dict_factory() + self._node[v] = self.node_attr_dict_factory() + # add the edge + datadict = self._adj[u].get(v, self.edge_attr_dict_factory()) + datadict.update(attr) + self._adj[u][v] = datadict + self._adj[v][u] = datadict + nx._clear_cache(self) + + def add_edges_from(self, ebunch_to_add, **attr): + """Add all the edges in ebunch_to_add. + + Parameters + ---------- + ebunch_to_add : container of edges + Each edge given in the container will be added to the + graph. The edges must be given as 2-tuples (u, v) or + 3-tuples (u, v, d) where d is a dictionary containing edge data. + attr : keyword arguments, optional + Edge data (or labels or objects) can be assigned using + keyword arguments. + + See Also + -------- + add_edge : add a single edge + add_weighted_edges_from : convenient way to add weighted edges + + Notes + ----- + Adding the same edge twice has no effect but any edge data + will be updated when each duplicate edge is added. + + Edge attributes specified in an ebunch take precedence over + attributes specified via keyword arguments. + + When adding edges from an iterator over the graph you are changing, + a `RuntimeError` can be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_edges)`, and pass this + object to `G.add_edges_from`. + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_edges_from([(0, 1), (1, 2)]) # using a list of edge tuples + >>> e = zip(range(0, 3), range(1, 4)) + >>> G.add_edges_from(e) # Add the path graph 0-1-2-3 + + Associate data to edges + + >>> G.add_edges_from([(1, 2), (2, 3)], weight=3) + >>> G.add_edges_from([(3, 4), (1, 4)], label="WN2898") + + Evaluate an iterator over a graph if using it to modify the same graph + + >>> G = nx.Graph([(1, 2), (2, 3), (3, 4)]) + >>> # Grow graph by one new node, adding edges to all existing nodes. + >>> # wrong way - will raise RuntimeError + >>> # G.add_edges_from(((5, n) for n in G.nodes)) + >>> # correct way - note that there will be no self-edge for node 5 + >>> G.add_edges_from(list((5, n) for n in G.nodes)) + """ + for e in ebunch_to_add: + ne = len(e) + if ne == 3: + u, v, dd = e + elif ne == 2: + u, v = e + dd = {} # doesn't need edge_attr_dict_factory + else: + raise NetworkXError(f"Edge tuple {e} must be a 2-tuple or 3-tuple.") + if u not in self._node: + if u is None: + raise ValueError("None cannot be a node") + self._adj[u] = self.adjlist_inner_dict_factory() + self._node[u] = self.node_attr_dict_factory() + if v not in self._node: + if v is None: + raise ValueError("None cannot be a node") + self._adj[v] = self.adjlist_inner_dict_factory() + self._node[v] = self.node_attr_dict_factory() + datadict = self._adj[u].get(v, self.edge_attr_dict_factory()) + datadict.update(attr) + datadict.update(dd) + self._adj[u][v] = datadict + self._adj[v][u] = datadict + nx._clear_cache(self) + + def add_weighted_edges_from(self, ebunch_to_add, weight="weight", **attr): + """Add weighted edges in `ebunch_to_add` with specified weight attr + + Parameters + ---------- + ebunch_to_add : container of edges + Each edge given in the list or container will be added + to the graph. The edges must be given as 3-tuples (u, v, w) + where w is a number. + weight : string, optional (default= 'weight') + The attribute name for the edge weights to be added. + attr : keyword arguments, optional (default= no attributes) + Edge attributes to add/update for all edges. + + See Also + -------- + add_edge : add a single edge + add_edges_from : add multiple edges + + Notes + ----- + Adding the same edge twice for Graph/DiGraph simply updates + the edge data. For MultiGraph/MultiDiGraph, duplicate edges + are stored. + + When adding edges from an iterator over the graph you are changing, + a `RuntimeError` can be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_edges)`, and pass this + object to `G.add_weighted_edges_from`. + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_weighted_edges_from([(0, 1, 3.0), (1, 2, 7.5)]) + + Evaluate an iterator over edges before passing it + + >>> G = nx.Graph([(1, 2), (2, 3), (3, 4)]) + >>> weight = 0.1 + >>> # Grow graph by one new node, adding edges to all existing nodes. + >>> # wrong way - will raise RuntimeError + >>> # G.add_weighted_edges_from(((5, n, weight) for n in G.nodes)) + >>> # correct way - note that there will be no self-edge for node 5 + >>> G.add_weighted_edges_from(list((5, n, weight) for n in G.nodes)) + """ + self.add_edges_from(((u, v, {weight: d}) for u, v, d in ebunch_to_add), **attr) + nx._clear_cache(self) + + def remove_edge(self, u, v): + """Remove the edge between u and v. + + Parameters + ---------- + u, v : nodes + Remove the edge between nodes u and v. + + Raises + ------ + NetworkXError + If there is not an edge between u and v. + + See Also + -------- + remove_edges_from : remove a collection of edges + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, etc + >>> G.remove_edge(0, 1) + >>> e = (1, 2) + >>> G.remove_edge(*e) # unpacks e from an edge tuple + >>> e = (2, 3, {"weight": 7}) # an edge with attribute data + >>> G.remove_edge(*e[:2]) # select first part of edge tuple + """ + try: + del self._adj[u][v] + if u != v: # self-loop needs only one entry removed + del self._adj[v][u] + except KeyError as err: + raise NetworkXError(f"The edge {u}-{v} is not in the graph") from err + nx._clear_cache(self) + + def remove_edges_from(self, ebunch): + """Remove all edges specified in ebunch. + + Parameters + ---------- + ebunch: list or container of edge tuples + Each edge given in the list or container will be removed + from the graph. The edges can be: + + - 2-tuples (u, v) edge between u and v. + - 3-tuples (u, v, k) where k is ignored. + + See Also + -------- + remove_edge : remove a single edge + + Notes + ----- + Will fail silently if an edge in ebunch is not in the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> ebunch = [(1, 2), (2, 3)] + >>> G.remove_edges_from(ebunch) + """ + adj = self._adj + for e in ebunch: + u, v = e[:2] # ignore edge data if present + if u in adj and v in adj[u]: + del adj[u][v] + if u != v: # self loop needs only one entry removed + del adj[v][u] + nx._clear_cache(self) + + def update(self, edges=None, nodes=None): + """Update the graph using nodes/edges/graphs as input. + + Like dict.update, this method takes a graph as input, adding the + graph's nodes and edges to this graph. It can also take two inputs: + edges and nodes. Finally it can take either edges or nodes. + To specify only nodes the keyword `nodes` must be used. + + The collections of edges and nodes are treated similarly to + the add_edges_from/add_nodes_from methods. When iterated, they + should yield 2-tuples (u, v) or 3-tuples (u, v, datadict). + + Parameters + ---------- + edges : Graph object, collection of edges, or None + The first parameter can be a graph or some edges. If it has + attributes `nodes` and `edges`, then it is taken to be a + Graph-like object and those attributes are used as collections + of nodes and edges to be added to the graph. + If the first parameter does not have those attributes, it is + treated as a collection of edges and added to the graph. + If the first argument is None, no edges are added. + nodes : collection of nodes, or None + The second parameter is treated as a collection of nodes + to be added to the graph unless it is None. + If `edges is None` and `nodes is None` an exception is raised. + If the first parameter is a Graph, then `nodes` is ignored. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> G.update(nx.complete_graph(range(4, 10))) + >>> from itertools import combinations + >>> edges = ( + ... (u, v, {"power": u * v}) + ... for u, v in combinations(range(10, 20), 2) + ... if u * v < 225 + ... ) + >>> nodes = [1000] # for singleton, use a container + >>> G.update(edges, nodes) + + Notes + ----- + It you want to update the graph using an adjacency structure + it is straightforward to obtain the edges/nodes from adjacency. + The following examples provide common cases, your adjacency may + be slightly different and require tweaks of these examples:: + + >>> # dict-of-set/list/tuple + >>> adj = {1: {2, 3}, 2: {1, 3}, 3: {1, 2}} + >>> e = [(u, v) for u, nbrs in adj.items() for v in nbrs] + >>> G.update(edges=e, nodes=adj) + + >>> DG = nx.DiGraph() + >>> # dict-of-dict-of-attribute + >>> adj = {1: {2: 1.3, 3: 0.7}, 2: {1: 1.4}, 3: {1: 0.7}} + >>> e = [ + ... (u, v, {"weight": d}) + ... for u, nbrs in adj.items() + ... for v, d in nbrs.items() + ... ] + >>> DG.update(edges=e, nodes=adj) + + >>> # dict-of-dict-of-dict + >>> adj = {1: {2: {"weight": 1.3}, 3: {"color": 0.7, "weight": 1.2}}} + >>> e = [ + ... (u, v, {"weight": d}) + ... for u, nbrs in adj.items() + ... for v, d in nbrs.items() + ... ] + >>> DG.update(edges=e, nodes=adj) + + >>> # predecessor adjacency (dict-of-set) + >>> pred = {1: {2, 3}, 2: {3}, 3: {3}} + >>> e = [(v, u) for u, nbrs in pred.items() for v in nbrs] + + >>> # MultiGraph dict-of-dict-of-dict-of-attribute + >>> MDG = nx.MultiDiGraph() + >>> adj = { + ... 1: {2: {0: {"weight": 1.3}, 1: {"weight": 1.2}}}, + ... 3: {2: {0: {"weight": 0.7}}}, + ... } + >>> e = [ + ... (u, v, ekey, d) + ... for u, nbrs in adj.items() + ... for v, keydict in nbrs.items() + ... for ekey, d in keydict.items() + ... ] + >>> MDG.update(edges=e) + + See Also + -------- + add_edges_from: add multiple edges to a graph + add_nodes_from: add multiple nodes to a graph + """ + if edges is not None: + if nodes is not None: + self.add_nodes_from(nodes) + self.add_edges_from(edges) + else: + # check if edges is a Graph object + try: + graph_nodes = edges.nodes + graph_edges = edges.edges + except AttributeError: + # edge not Graph-like + self.add_edges_from(edges) + else: # edges is Graph-like + self.add_nodes_from(graph_nodes.data()) + self.add_edges_from(graph_edges.data()) + self.graph.update(edges.graph) + elif nodes is not None: + self.add_nodes_from(nodes) + else: + raise NetworkXError("update needs nodes or edges input") + + def has_edge(self, u, v): + """Returns True if the edge (u, v) is in the graph. + + This is the same as `v in G[u]` without KeyError exceptions. + + Parameters + ---------- + u, v : nodes + Nodes can be, for example, strings or numbers. + Nodes must be hashable (and not None) Python objects. + + Returns + ------- + edge_ind : bool + True if edge is in the graph, False otherwise. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.has_edge(0, 1) # using two nodes + True + >>> e = (0, 1) + >>> G.has_edge(*e) # e is a 2-tuple (u, v) + True + >>> e = (0, 1, {"weight": 7}) + >>> G.has_edge(*e[:2]) # e is a 3-tuple (u, v, data_dictionary) + True + + The following syntax are equivalent: + + >>> G.has_edge(0, 1) + True + >>> 1 in G[0] # though this gives KeyError if 0 not in G + True + + """ + try: + return v in self._adj[u] + except KeyError: + return False + + def neighbors(self, n): + """Returns an iterator over all neighbors of node n. + + This is identical to `iter(G[n])` + + Parameters + ---------- + n : node + A node in the graph + + Returns + ------- + neighbors : iterator + An iterator over all neighbors of node n + + Raises + ------ + NetworkXError + If the node n is not in the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> [n for n in G.neighbors(0)] + [1] + + Notes + ----- + Alternate ways to access the neighbors are ``G.adj[n]`` or ``G[n]``: + + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_edge("a", "b", weight=7) + >>> G["a"] + AtlasView({'b': {'weight': 7}}) + >>> G = nx.path_graph(4) + >>> [n for n in G[0]] + [1] + """ + try: + return iter(self._adj[n]) + except KeyError as err: + raise NetworkXError(f"The node {n} is not in the graph.") from err + + @cached_property + def edges(self): + """An EdgeView of the Graph as G.edges or G.edges(). + + edges(self, nbunch=None, data=False, default=None) + + The EdgeView provides set-like operations on the edge-tuples + as well as edge attribute lookup. When called, it also provides + an EdgeDataView object which allows control of access to edge + attributes (but does not provide set-like operations). + Hence, `G.edges[u, v]['color']` provides the value of the color + attribute for edge `(u, v)` while + `for (u, v, c) in G.edges.data('color', default='red'):` + iterates through all the edges yielding the color attribute + with default `'red'` if no color attribute exists. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges from these nodes. + data : string or bool, optional (default=False) + The edge attribute returned in 3-tuple (u, v, ddict[data]). + If True, return edge attribute dict in 3-tuple (u, v, ddict). + If False, return 2-tuple (u, v). + default : value, optional (default=None) + Value used for edges that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + edges : EdgeView + A view of edge attributes, usually it iterates over (u, v) + or (u, v, d) tuples of edges, but can also be used for + attribute lookup as `edges[u, v]['foo']`. + + Notes + ----- + Nodes in nbunch that are not in the graph will be (quietly) ignored. + For directed graphs this returns the out-edges. + + Examples + -------- + >>> G = nx.path_graph(3) # or MultiGraph, etc + >>> G.add_edge(2, 3, weight=5) + >>> [e for e in G.edges] + [(0, 1), (1, 2), (2, 3)] + >>> G.edges.data() # default data is {} (empty dict) + EdgeDataView([(0, 1, {}), (1, 2, {}), (2, 3, {'weight': 5})]) + >>> G.edges.data("weight", default=1) + EdgeDataView([(0, 1, 1), (1, 2, 1), (2, 3, 5)]) + >>> G.edges([0, 3]) # only edges from these nodes + EdgeDataView([(0, 1), (3, 2)]) + >>> G.edges(0) # only edges from node 0 + EdgeDataView([(0, 1)]) + """ + return EdgeView(self) + + def get_edge_data(self, u, v, default=None): + """Returns the attribute dictionary associated with edge (u, v). + + This is identical to `G[u][v]` except the default is returned + instead of an exception if the edge doesn't exist. + + Parameters + ---------- + u, v : nodes + default: any Python object (default=None) + Value to return if the edge (u, v) is not found. + + Returns + ------- + edge_dict : dictionary + The edge attribute dictionary. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G[0][1] + {} + + Warning: Assigning to `G[u][v]` is not permitted. + But it is safe to assign attributes `G[u][v]['foo']` + + >>> G[0][1]["weight"] = 7 + >>> G[0][1]["weight"] + 7 + >>> G[1][0]["weight"] + 7 + + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.get_edge_data(0, 1) # default edge data is {} + {} + >>> e = (0, 1) + >>> G.get_edge_data(*e) # tuple form + {} + >>> G.get_edge_data("a", "b", default=0) # edge not in graph, return 0 + 0 + """ + try: + return self._adj[u][v] + except KeyError: + return default + + def adjacency(self): + """Returns an iterator over (node, adjacency dict) tuples for all nodes. + + For directed graphs, only outgoing neighbors/adjacencies are included. + + Returns + ------- + adj_iter : iterator + An iterator over (node, adjacency dictionary) for all nodes in + the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> [(n, nbrdict) for n, nbrdict in G.adjacency()] + [(0, {1: {}}), (1, {0: {}, 2: {}}), (2, {1: {}, 3: {}}), (3, {2: {}})] + + """ + return iter(self._adj.items()) + + @cached_property + def degree(self): + """A DegreeView for the Graph as G.degree or G.degree(). + + The node degree is the number of edges adjacent to the node. + The weighted node degree is the sum of the edge weights for + edges incident to that node. + + This object provides an iterator for (node, degree) as well as + lookup for the degree for a single node. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The name of an edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights adjacent to the node. + + Returns + ------- + DegreeView or int + If multiple nodes are requested (the default), returns a `DegreeView` + mapping nodes to their degree. + If a single node is requested, returns the degree of the node as an integer. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.degree[0] # node 0 has degree 1 + 1 + >>> list(G.degree([0, 1, 2])) + [(0, 1), (1, 2), (2, 2)] + """ + return DegreeView(self) + + def clear(self): + """Remove all nodes and edges from the graph. + + This also removes the name, and all graph, node, and edge attributes. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.clear() + >>> list(G.nodes) + [] + >>> list(G.edges) + [] + + """ + self._adj.clear() + self._node.clear() + self.graph.clear() + nx._clear_cache(self) + + def clear_edges(self): + """Remove all edges from the graph without altering nodes. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.clear_edges() + >>> list(G.nodes) + [0, 1, 2, 3] + >>> list(G.edges) + [] + """ + for nbr_dict in self._adj.values(): + nbr_dict.clear() + nx._clear_cache(self) + + def is_multigraph(self): + """Returns True if graph is a multigraph, False otherwise.""" + return False + + def is_directed(self): + """Returns True if graph is directed, False otherwise.""" + return False + + def copy(self, as_view=False): + """Returns a copy of the graph. + + The copy method by default returns an independent shallow copy + of the graph and attributes. That is, if an attribute is a + container, that container is shared by the original an the copy. + Use Python's `copy.deepcopy` for new containers. + + If `as_view` is True then a view is returned instead of a copy. + + Notes + ----- + All copies reproduce the graph structure, but data attributes + may be handled in different ways. There are four types of copies + of a graph that people might want. + + Deepcopy -- A "deepcopy" copies the graph structure as well as + all data attributes and any objects they might contain. + The entire graph object is new so that changes in the copy + do not affect the original object. (see Python's copy.deepcopy) + + Data Reference (Shallow) -- For a shallow copy the graph structure + is copied but the edge, node and graph attribute dicts are + references to those in the original graph. This saves + time and memory but could cause confusion if you change an attribute + in one graph and it changes the attribute in the other. + NetworkX does not provide this level of shallow copy. + + Independent Shallow -- This copy creates new independent attribute + dicts and then does a shallow copy of the attributes. That is, any + attributes that are containers are shared between the new graph + and the original. This is exactly what `dict.copy()` provides. + You can obtain this style copy using: + + >>> G = nx.path_graph(5) + >>> H = G.copy() + >>> H = G.copy(as_view=False) + >>> H = nx.Graph(G) + >>> H = G.__class__(G) + + Fresh Data -- For fresh data, the graph structure is copied while + new empty data attribute dicts are created. The resulting graph + is independent of the original and it has no edge, node or graph + attributes. Fresh copies are not enabled. Instead use: + + >>> H = G.__class__() + >>> H.add_nodes_from(G) + >>> H.add_edges_from(G.edges) + + View -- Inspired by dict-views, graph-views act like read-only + versions of the original graph, providing a copy of the original + structure without requiring any memory for copying the information. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Parameters + ---------- + as_view : bool, optional (default=False) + If True, the returned graph-view provides a read-only view + of the original graph without actually copying any data. + + Returns + ------- + G : Graph + A copy of the graph. + + See Also + -------- + to_directed: return a directed copy of the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> H = G.copy() + + """ + if as_view is True: + return nx.graphviews.generic_graph_view(self) + G = self.__class__() + G.graph.update(self.graph) + G.add_nodes_from((n, d.copy()) for n, d in self._node.items()) + G.add_edges_from( + (u, v, datadict.copy()) + for u, nbrs in self._adj.items() + for v, datadict in nbrs.items() + ) + return G + + def to_directed(self, as_view=False): + """Returns a directed representation of the graph. + + Returns + ------- + G : DiGraph + A directed graph with the same name, same nodes, and with + each edge (u, v, data) replaced by two directed edges + (u, v, data) and (v, u, data). + + Notes + ----- + This returns a "deepcopy" of the edge, node, and + graph attributes which attempts to completely copy + all of the data and references. + + This is in contrast to the similar D=DiGraph(G) which returns a + shallow copy of the data. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Warning: If you have subclassed Graph to use dict-like objects + in the data structure, those changes do not transfer to the + DiGraph created by this method. + + Examples + -------- + >>> G = nx.Graph() # or MultiGraph, etc + >>> G.add_edge(0, 1) + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1), (1, 0)] + + If already directed, return a (deep) copy + + >>> G = nx.DiGraph() # or MultiDiGraph, etc + >>> G.add_edge(0, 1) + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1)] + """ + graph_class = self.to_directed_class() + if as_view is True: + return nx.graphviews.generic_graph_view(self, graph_class) + # deepcopy when not a view + G = graph_class() + G.graph.update(deepcopy(self.graph)) + G.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) + G.add_edges_from( + (u, v, deepcopy(data)) + for u, nbrs in self._adj.items() + for v, data in nbrs.items() + ) + return G + + def to_undirected(self, as_view=False): + """Returns an undirected copy of the graph. + + Parameters + ---------- + as_view : bool (optional, default=False) + If True return a view of the original undirected graph. + + Returns + ------- + G : Graph/MultiGraph + A deepcopy of the graph. + + See Also + -------- + Graph, copy, add_edge, add_edges_from + + Notes + ----- + This returns a "deepcopy" of the edge, node, and + graph attributes which attempts to completely copy + all of the data and references. + + This is in contrast to the similar `G = nx.DiGraph(D)` which returns a + shallow copy of the data. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Warning: If you have subclassed DiGraph to use dict-like objects + in the data structure, those changes do not transfer to the + Graph created by this method. + + Examples + -------- + >>> G = nx.path_graph(2) # or MultiGraph, etc + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1), (1, 0)] + >>> G2 = H.to_undirected() + >>> list(G2.edges) + [(0, 1)] + """ + graph_class = self.to_undirected_class() + if as_view is True: + return nx.graphviews.generic_graph_view(self, graph_class) + # deepcopy when not a view + G = graph_class() + G.graph.update(deepcopy(self.graph)) + G.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) + G.add_edges_from( + (u, v, deepcopy(d)) + for u, nbrs in self._adj.items() + for v, d in nbrs.items() + ) + return G + + def subgraph(self, nodes): + """Returns a SubGraph view of the subgraph induced on `nodes`. + + The induced subgraph of the graph contains the nodes in `nodes` + and the edges between those nodes. + + Parameters + ---------- + nodes : list, iterable + A container of nodes which will be iterated through once. + + Returns + ------- + G : SubGraph View + A subgraph view of the graph. The graph structure cannot be + changed but node/edge attributes can and are shared with the + original graph. + + Notes + ----- + The graph, edge and node attributes are shared with the original graph. + Changes to the graph structure is ruled out by the view, but changes + to attributes are reflected in the original graph. + + To create a subgraph with its own copy of the edge/node attributes use: + G.subgraph(nodes).copy() + + For an inplace reduction of a graph to a subgraph you can remove nodes: + G.remove_nodes_from([n for n in G if n not in set(nodes)]) + + Subgraph views are sometimes NOT what you want. In most cases where + you want to do more than simply look at the induced edges, it makes + more sense to just create the subgraph as its own graph with code like: + + :: + + # Create a subgraph SG based on a (possibly multigraph) G + SG = G.__class__() + SG.add_nodes_from((n, G.nodes[n]) for n in largest_wcc) + if SG.is_multigraph(): + SG.add_edges_from( + (n, nbr, key, d) + for n, nbrs in G.adj.items() + if n in largest_wcc + for nbr, keydict in nbrs.items() + if nbr in largest_wcc + for key, d in keydict.items() + ) + else: + SG.add_edges_from( + (n, nbr, d) + for n, nbrs in G.adj.items() + if n in largest_wcc + for nbr, d in nbrs.items() + if nbr in largest_wcc + ) + SG.graph.update(G.graph) + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> H = G.subgraph([0, 1, 2]) + >>> list(H.edges) + [(0, 1), (1, 2)] + """ + induced_nodes = nx.filters.show_nodes(self.nbunch_iter(nodes)) + # if already a subgraph, don't make a chain + subgraph = nx.subgraph_view + if hasattr(self, "_NODE_OK"): + return subgraph( + self._graph, filter_node=induced_nodes, filter_edge=self._EDGE_OK + ) + return subgraph(self, filter_node=induced_nodes) + + def edge_subgraph(self, edges): + """Returns the subgraph induced by the specified edges. + + The induced subgraph contains each edge in `edges` and each + node incident to any one of those edges. + + Parameters + ---------- + edges : iterable + An iterable of edges in this graph. + + Returns + ------- + G : Graph + An edge-induced subgraph of this graph with the same edge + attributes. + + Notes + ----- + The graph, edge, and node attributes in the returned subgraph + view are references to the corresponding attributes in the original + graph. The view is read-only. + + To create a full graph version of the subgraph with its own copy + of the edge or node attributes, use:: + + G.edge_subgraph(edges).copy() + + Examples + -------- + >>> G = nx.path_graph(5) + >>> H = G.edge_subgraph([(0, 1), (3, 4)]) + >>> list(H.nodes) + [0, 1, 3, 4] + >>> list(H.edges) + [(0, 1), (3, 4)] + + """ + return nx.edge_subgraph(self, edges) + + def size(self, weight=None): + """Returns the number of edges or total of all edge weights. + + Parameters + ---------- + weight : string or None, optional (default=None) + The edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + + Returns + ------- + size : numeric + The number of edges or + (if weight keyword is provided) the total weight sum. + + If weight is None, returns an int. Otherwise a float + (or more general numeric if the weights are more general). + + See Also + -------- + number_of_edges + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.size() + 3 + + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_edge("a", "b", weight=2) + >>> G.add_edge("b", "c", weight=4) + >>> G.size() + 2 + >>> G.size(weight="weight") + 6.0 + """ + s = sum(d for v, d in self.degree(weight=weight)) + # If `weight` is None, the sum of the degrees is guaranteed to be + # even, so we can perform integer division and hence return an + # integer. Otherwise, the sum of the weighted degrees is not + # guaranteed to be an integer, so we perform "real" division. + return s // 2 if weight is None else s / 2 + + def number_of_edges(self, u=None, v=None): + """Returns the number of edges between two nodes. + + Parameters + ---------- + u, v : nodes, optional (default=all edges) + If u and v are specified, return the number of edges between + u and v. Otherwise return the total number of all edges. + + Returns + ------- + nedges : int + The number of edges in the graph. If nodes `u` and `v` are + specified return the number of edges between those nodes. If + the graph is directed, this only returns the number of edges + from `u` to `v`. + + See Also + -------- + size + + Examples + -------- + For undirected graphs, this method counts the total number of + edges in the graph: + + >>> G = nx.path_graph(4) + >>> G.number_of_edges() + 3 + + If you specify two nodes, this counts the total number of edges + joining the two nodes: + + >>> G.number_of_edges(0, 1) + 1 + + For directed graphs, this method can count the total number of + directed edges from `u` to `v`: + + >>> G = nx.DiGraph() + >>> G.add_edge(0, 1) + >>> G.add_edge(1, 0) + >>> G.number_of_edges(0, 1) + 1 + + """ + if u is None: + return int(self.size()) + if v in self._adj[u]: + return 1 + return 0 + + def nbunch_iter(self, nbunch=None): + """Returns an iterator over nodes contained in nbunch that are + also in the graph. + + The nodes in nbunch are checked for membership in the graph + and if not are silently ignored. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + Returns + ------- + niter : iterator + An iterator over nodes in nbunch that are also in the graph. + If nbunch is None, iterate over all nodes in the graph. + + Raises + ------ + NetworkXError + If nbunch is not a node or sequence of nodes. + If a node in nbunch is not hashable. + + See Also + -------- + Graph.__iter__ + + Notes + ----- + When nbunch is an iterator, the returned iterator yields values + directly from nbunch, becoming exhausted when nbunch is exhausted. + + To test whether nbunch is a single node, one can use + "if nbunch in self:", even after processing with this routine. + + If nbunch is not a node or a (possibly empty) sequence/iterator + or None, a :exc:`NetworkXError` is raised. Also, if any object in + nbunch is not hashable, a :exc:`NetworkXError` is raised. + """ + if nbunch is None: # include all nodes via iterator + bunch = iter(self._adj) + elif nbunch in self: # if nbunch is a single node + bunch = iter([nbunch]) + else: # if nbunch is a sequence of nodes + + def bunch_iter(nlist, adj): + try: + for n in nlist: + if n in adj: + yield n + except TypeError as err: + exc, message = err, err.args[0] + # capture error for non-sequence/iterator nbunch. + if "iter" in message: + exc = NetworkXError( + "nbunch is not a node or a sequence of nodes." + ) + # capture error for unhashable node. + if "hashable" in message: + exc = NetworkXError( + f"Node {n} in sequence nbunch is not a valid node." + ) + raise exc + + bunch = bunch_iter(nbunch, self._adj) + return bunch diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/graphviews.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/graphviews.py new file mode 100644 index 0000000000000000000000000000000000000000..0b09df649ef48fa484d27e51d86cce1e10d593a7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/graphviews.py @@ -0,0 +1,269 @@ +"""View of Graphs as SubGraph, Reverse, Directed, Undirected. + +In some algorithms it is convenient to temporarily morph +a graph to exclude some nodes or edges. It should be better +to do that via a view than to remove and then re-add. +In other algorithms it is convenient to temporarily morph +a graph to reverse directed edges, or treat a directed graph +as undirected, etc. This module provides those graph views. + +The resulting views are essentially read-only graphs that +report data from the original graph object. We provide an +attribute G._graph which points to the underlying graph object. + +Note: Since graphviews look like graphs, one can end up with +view-of-view-of-view chains. Be careful with chains because +they become very slow with about 15 nested views. +For the common simple case of node induced subgraphs created +from the graph class, we short-cut the chain by returning a +subgraph of the original graph directly rather than a subgraph +of a subgraph. We are careful not to disrupt any edge filter in +the middle subgraph. In general, determining how to short-cut +the chain is tricky and much harder with restricted_views than +with induced subgraphs. +Often it is easiest to use .copy() to avoid chains. +""" + +import networkx as nx +from networkx.classes.coreviews import ( + FilterAdjacency, + FilterAtlas, + FilterMultiAdjacency, + UnionAdjacency, + UnionMultiAdjacency, +) +from networkx.classes.filters import no_filter +from networkx.exception import NetworkXError +from networkx.utils import not_implemented_for + +__all__ = ["generic_graph_view", "subgraph_view", "reverse_view"] + + +def generic_graph_view(G, create_using=None): + """Returns a read-only view of `G`. + + The graph `G` and its attributes are not copied but viewed through the new graph object + of the same class as `G` (or of the class specified in `create_using`). + + Parameters + ---------- + G : graph + A directed/undirected graph/multigraph. + + create_using : NetworkX graph constructor, optional (default=None) + Graph type to create. If graph instance, then cleared before populated. + If `None`, then the appropriate Graph type is inferred from `G`. + + Returns + ------- + newG : graph + A view of the input graph `G` and its attributes as viewed through + the `create_using` class. + + Raises + ------ + NetworkXError + If `G` is a multigraph (or multidigraph) but `create_using` is not, or vice versa. + + Notes + ----- + The returned graph view is read-only (cannot modify the graph). + Yet the view reflects any changes in `G`. The intent is to mimic dict views. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_edge(1, 2, weight=0.3) + >>> G.add_edge(2, 3, weight=0.5) + >>> G.edges(data=True) + EdgeDataView([(1, 2, {'weight': 0.3}), (2, 3, {'weight': 0.5})]) + + The view exposes the attributes from the original graph. + + >>> viewG = nx.graphviews.generic_graph_view(G) + >>> viewG.edges(data=True) + EdgeDataView([(1, 2, {'weight': 0.3}), (2, 3, {'weight': 0.5})]) + + Changes to `G` are reflected in `viewG`. + + >>> G.remove_edge(2, 3) + >>> G.edges(data=True) + EdgeDataView([(1, 2, {'weight': 0.3})]) + + >>> viewG.edges(data=True) + EdgeDataView([(1, 2, {'weight': 0.3})]) + + We can change the graph type with the `create_using` parameter. + + >>> type(G) + + >>> viewDG = nx.graphviews.generic_graph_view(G, create_using=nx.DiGraph) + >>> type(viewDG) + + """ + if create_using is None: + newG = G.__class__() + else: + newG = nx.empty_graph(0, create_using) + if G.is_multigraph() != newG.is_multigraph(): + raise NetworkXError("Multigraph for G must agree with create_using") + newG = nx.freeze(newG) + + # create view by assigning attributes from G + newG._graph = G + newG.graph = G.graph + + newG._node = G._node + if newG.is_directed(): + if G.is_directed(): + newG._succ = G._succ + newG._pred = G._pred + # newG._adj is synced with _succ + else: + newG._succ = G._adj + newG._pred = G._adj + # newG._adj is synced with _succ + elif G.is_directed(): + if G.is_multigraph(): + newG._adj = UnionMultiAdjacency(G._succ, G._pred) + else: + newG._adj = UnionAdjacency(G._succ, G._pred) + else: + newG._adj = G._adj + return newG + + +def subgraph_view(G, *, filter_node=no_filter, filter_edge=no_filter): + """View of `G` applying a filter on nodes and edges. + + `subgraph_view` provides a read-only view of the input graph that excludes + nodes and edges based on the outcome of two filter functions `filter_node` + and `filter_edge`. + + The `filter_node` function takes one argument --- the node --- and returns + `True` if the node should be included in the subgraph, and `False` if it + should not be included. + + The `filter_edge` function takes two (or three arguments if `G` is a + multi-graph) --- the nodes describing an edge, plus the edge-key if + parallel edges are possible --- and returns `True` if the edge should be + included in the subgraph, and `False` if it should not be included. + + Both node and edge filter functions are called on graph elements as they + are queried, meaning there is no up-front cost to creating the view. + + Parameters + ---------- + G : networkx.Graph + A directed/undirected graph/multigraph + + filter_node : callable, optional + A function taking a node as input, which returns `True` if the node + should appear in the view. + + filter_edge : callable, optional + A function taking as input the two nodes describing an edge (plus the + edge-key if `G` is a multi-graph), which returns `True` if the edge + should appear in the view. + + Returns + ------- + graph : networkx.Graph + A read-only graph view of the input graph. + + Examples + -------- + >>> G = nx.path_graph(6) + + Filter functions operate on the node, and return `True` if the node should + appear in the view: + + >>> def filter_node(n1): + ... return n1 != 5 + >>> view = nx.subgraph_view(G, filter_node=filter_node) + >>> view.nodes() + NodeView((0, 1, 2, 3, 4)) + + We can use a closure pattern to filter graph elements based on additional + data --- for example, filtering on edge data attached to the graph: + + >>> G[3][4]["cross_me"] = False + >>> def filter_edge(n1, n2): + ... return G[n1][n2].get("cross_me", True) + >>> view = nx.subgraph_view(G, filter_edge=filter_edge) + >>> view.edges() + EdgeView([(0, 1), (1, 2), (2, 3), (4, 5)]) + + >>> view = nx.subgraph_view( + ... G, + ... filter_node=filter_node, + ... filter_edge=filter_edge, + ... ) + >>> view.nodes() + NodeView((0, 1, 2, 3, 4)) + >>> view.edges() + EdgeView([(0, 1), (1, 2), (2, 3)]) + """ + newG = nx.freeze(G.__class__()) + newG._NODE_OK = filter_node + newG._EDGE_OK = filter_edge + + # create view by assigning attributes from G + newG._graph = G + newG.graph = G.graph + + newG._node = FilterAtlas(G._node, filter_node) + if G.is_multigraph(): + Adj = FilterMultiAdjacency + + def reverse_edge(u, v, k=None): + return filter_edge(v, u, k) + + else: + Adj = FilterAdjacency + + def reverse_edge(u, v, k=None): + return filter_edge(v, u) + + if G.is_directed(): + newG._succ = Adj(G._succ, filter_node, filter_edge) + newG._pred = Adj(G._pred, filter_node, reverse_edge) + # newG._adj is synced with _succ + else: + newG._adj = Adj(G._adj, filter_node, filter_edge) + return newG + + +@not_implemented_for("undirected") +def reverse_view(G): + """View of `G` with edge directions reversed + + `reverse_view` returns a read-only view of the input graph where + edge directions are reversed. + + Identical to digraph.reverse(copy=False) + + Parameters + ---------- + G : networkx.DiGraph + + Returns + ------- + graph : networkx.DiGraph + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_edge(1, 2) + >>> G.add_edge(2, 3) + >>> G.edges() + OutEdgeView([(1, 2), (2, 3)]) + + >>> view = nx.reverse_view(G) + >>> view.edges() + OutEdgeView([(2, 1), (3, 2)]) + """ + newG = generic_graph_view(G) + newG._succ, newG._pred = G._pred, G._succ + # newG._adj is synced with _succ + return newG diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/multidigraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/multidigraph.py new file mode 100644 index 0000000000000000000000000000000000000000..597af796c8253ed94a1ac8c4bd40b6024b35208d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/multidigraph.py @@ -0,0 +1,966 @@ +"""Base class for MultiDiGraph.""" + +from copy import deepcopy +from functools import cached_property + +import networkx as nx +from networkx import convert +from networkx.classes.coreviews import MultiAdjacencyView +from networkx.classes.digraph import DiGraph +from networkx.classes.multigraph import MultiGraph +from networkx.classes.reportviews import ( + DiMultiDegreeView, + InMultiDegreeView, + InMultiEdgeView, + OutMultiDegreeView, + OutMultiEdgeView, +) +from networkx.exception import NetworkXError + +__all__ = ["MultiDiGraph"] + + +class MultiDiGraph(MultiGraph, DiGraph): + """A directed graph class that can store multiedges. + + Multiedges are multiple edges between two nodes. Each edge + can hold optional data or attributes. + + A MultiDiGraph holds directed edges. Self loops are allowed. + + Nodes can be arbitrary (hashable) Python objects with optional + key/value attributes. By convention `None` is not used as a node. + + Edges are represented as links between nodes with optional + key/value attributes. + + Parameters + ---------- + incoming_graph_data : input graph (optional, default: None) + Data to initialize graph. If None (default) an empty + graph is created. The data can be any format that is supported + by the to_networkx_graph() function, currently including edge list, + dict of dicts, dict of lists, NetworkX graph, 2D NumPy array, SciPy + sparse matrix, or PyGraphviz graph. + + multigraph_input : bool or None (default None) + Note: Only used when `incoming_graph_data` is a dict. + If True, `incoming_graph_data` is assumed to be a + dict-of-dict-of-dict-of-dict structure keyed by + node to neighbor to edge keys to edge data for multi-edges. + A NetworkXError is raised if this is not the case. + If False, :func:`to_networkx_graph` is used to try to determine + the dict's graph data structure as either a dict-of-dict-of-dict + keyed by node to neighbor to edge data, or a dict-of-iterable + keyed by node to neighbors. + If None, the treatment for True is tried, but if it fails, + the treatment for False is tried. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + Graph + DiGraph + MultiGraph + + Examples + -------- + Create an empty graph structure (a "null graph") with no nodes and + no edges. + + >>> G = nx.MultiDiGraph() + + G can be grown in several ways. + + **Nodes:** + + Add one node at a time: + + >>> G.add_node(1) + + Add the nodes from any container (a list, dict, set or + even the lines from a file or the nodes from another graph). + + >>> G.add_nodes_from([2, 3]) + >>> G.add_nodes_from(range(100, 110)) + >>> H = nx.path_graph(10) + >>> G.add_nodes_from(H) + + In addition to strings and integers any hashable Python object + (except None) can represent a node, e.g. a customized node object, + or even another Graph. + + >>> G.add_node(H) + + **Edges:** + + G can also be grown by adding edges. + + Add one edge, + + >>> key = G.add_edge(1, 2) + + a list of edges, + + >>> keys = G.add_edges_from([(1, 2), (1, 3)]) + + or a collection of edges, + + >>> keys = G.add_edges_from(H.edges) + + If some edges connect nodes not yet in the graph, the nodes + are added automatically. If an edge already exists, an additional + edge is created and stored using a key to identify the edge. + By default the key is the lowest unused integer. + + >>> keys = G.add_edges_from([(4, 5, dict(route=282)), (4, 5, dict(route=37))]) + >>> G[4] + AdjacencyView({5: {0: {}, 1: {'route': 282}, 2: {'route': 37}}}) + + **Attributes:** + + Each graph, node, and edge can hold key/value attribute pairs + in an associated attribute dictionary (the keys must be hashable). + By default these are empty, but can be added or changed using + add_edge, add_node or direct manipulation of the attribute + dictionaries named graph, node and edge respectively. + + >>> G = nx.MultiDiGraph(day="Friday") + >>> G.graph + {'day': 'Friday'} + + Add node attributes using add_node(), add_nodes_from() or G.nodes + + >>> G.add_node(1, time="5pm") + >>> G.add_nodes_from([3], time="2pm") + >>> G.nodes[1] + {'time': '5pm'} + >>> G.nodes[1]["room"] = 714 + >>> del G.nodes[1]["room"] # remove attribute + >>> list(G.nodes(data=True)) + [(1, {'time': '5pm'}), (3, {'time': '2pm'})] + + Add edge attributes using add_edge(), add_edges_from(), subscript + notation, or G.edges. + + >>> key = G.add_edge(1, 2, weight=4.7) + >>> keys = G.add_edges_from([(3, 4), (4, 5)], color="red") + >>> keys = G.add_edges_from([(1, 2, {"color": "blue"}), (2, 3, {"weight": 8})]) + >>> G[1][2][0]["weight"] = 4.7 + >>> G.edges[1, 2, 0]["weight"] = 4 + + Warning: we protect the graph data structure by making `G.edges[1, + 2, 0]` a read-only dict-like structure. However, you can assign to + attributes in e.g. `G.edges[1, 2, 0]`. Thus, use 2 sets of brackets + to add/change data attributes: `G.edges[1, 2, 0]['weight'] = 4` + (for multigraphs the edge key is required: `MG.edges[u, v, + key][name] = value`). + + **Shortcuts:** + + Many common graph features allow python syntax to speed reporting. + + >>> 1 in G # check if node in graph + True + >>> [n for n in G if n < 3] # iterate through nodes + [1, 2] + >>> len(G) # number of nodes in graph + 5 + >>> G[1] # adjacency dict-like view mapping neighbor -> edge key -> edge attributes + AdjacencyView({2: {0: {'weight': 4}, 1: {'color': 'blue'}}}) + + Often the best way to traverse all edges of a graph is via the neighbors. + The neighbors are available as an adjacency-view `G.adj` object or via + the method `G.adjacency()`. + + >>> for n, nbrsdict in G.adjacency(): + ... for nbr, keydict in nbrsdict.items(): + ... for key, eattr in keydict.items(): + ... if "weight" in eattr: + ... # Do something useful with the edges + ... pass + + But the edges() method is often more convenient: + + >>> for u, v, keys, weight in G.edges(data="weight", keys=True): + ... if weight is not None: + ... # Do something useful with the edges + ... pass + + **Reporting:** + + Simple graph information is obtained using methods and object-attributes. + Reporting usually provides views instead of containers to reduce memory + usage. The views update as the graph is updated similarly to dict-views. + The objects `nodes`, `edges` and `adj` provide access to data attributes + via lookup (e.g. `nodes[n]`, `edges[u, v, k]`, `adj[u][v]`) and iteration + (e.g. `nodes.items()`, `nodes.data('color')`, + `nodes.data('color', default='blue')` and similarly for `edges`) + Views exist for `nodes`, `edges`, `neighbors()`/`adj` and `degree`. + + For details on these and other miscellaneous methods, see below. + + **Subclasses (Advanced):** + + The MultiDiGraph class uses a dict-of-dict-of-dict-of-dict structure. + The outer dict (node_dict) holds adjacency information keyed by node. + The next dict (adjlist_dict) represents the adjacency information + and holds edge_key dicts keyed by neighbor. The edge_key dict holds + each edge_attr dict keyed by edge key. The inner dict + (edge_attr_dict) represents the edge data and holds edge attribute + values keyed by attribute names. + + Each of these four dicts in the dict-of-dict-of-dict-of-dict + structure can be replaced by a user defined dict-like object. + In general, the dict-like features should be maintained but + extra features can be added. To replace one of the dicts create + a new graph class by changing the class(!) variable holding the + factory for that dict-like structure. The variable names are + node_dict_factory, node_attr_dict_factory, adjlist_inner_dict_factory, + adjlist_outer_dict_factory, edge_key_dict_factory, edge_attr_dict_factory + and graph_attr_dict_factory. + + node_dict_factory : function, (default: dict) + Factory function to be used to create the dict containing node + attributes, keyed by node id. + It should require no arguments and return a dict-like object + + node_attr_dict_factory: function, (default: dict) + Factory function to be used to create the node attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object + + adjlist_outer_dict_factory : function, (default: dict) + Factory function to be used to create the outer-most dict + in the data structure that holds adjacency info keyed by node. + It should require no arguments and return a dict-like object. + + adjlist_inner_dict_factory : function, (default: dict) + Factory function to be used to create the adjacency list + dict which holds multiedge key dicts keyed by neighbor. + It should require no arguments and return a dict-like object. + + edge_key_dict_factory : function, (default: dict) + Factory function to be used to create the edge key dict + which holds edge data keyed by edge key. + It should require no arguments and return a dict-like object. + + edge_attr_dict_factory : function, (default: dict) + Factory function to be used to create the edge attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + graph_attr_dict_factory : function, (default: dict) + Factory function to be used to create the graph attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + Typically, if your extension doesn't impact the data structure all + methods will inherited without issue except: `to_directed/to_undirected`. + By default these methods create a DiGraph/Graph class and you probably + want them to create your extension of a DiGraph/Graph. To facilitate + this we define two class variables that you can set in your subclass. + + to_directed_class : callable, (default: DiGraph or MultiDiGraph) + Class to create a new graph structure in the `to_directed` method. + If `None`, a NetworkX class (DiGraph or MultiDiGraph) is used. + + to_undirected_class : callable, (default: Graph or MultiGraph) + Class to create a new graph structure in the `to_undirected` method. + If `None`, a NetworkX class (Graph or MultiGraph) is used. + + **Subclassing Example** + + Create a low memory graph class that effectively disallows edge + attributes by using a single attribute dict for all edges. + This reduces the memory used, but you lose edge attributes. + + >>> class ThinGraph(nx.Graph): + ... all_edge_dict = {"weight": 1} + ... + ... def single_edge_dict(self): + ... return self.all_edge_dict + ... + ... edge_attr_dict_factory = single_edge_dict + >>> G = ThinGraph() + >>> G.add_edge(2, 1) + >>> G[2][1] + {'weight': 1} + >>> G.add_edge(2, 2) + >>> G[2][1] is G[2][2] + True + """ + + # node_dict_factory = dict # already assigned in Graph + # adjlist_outer_dict_factory = dict + # adjlist_inner_dict_factory = dict + edge_key_dict_factory = dict + # edge_attr_dict_factory = dict + + def __init__(self, incoming_graph_data=None, multigraph_input=None, **attr): + """Initialize a graph with edges, name, or graph attributes. + + Parameters + ---------- + incoming_graph_data : input graph + Data to initialize graph. If incoming_graph_data=None (default) + an empty graph is created. The data can be an edge list, or any + NetworkX graph object. If the corresponding optional Python + packages are installed the data can also be a 2D NumPy array, a + SciPy sparse array, or a PyGraphviz graph. + + multigraph_input : bool or None (default None) + Note: Only used when `incoming_graph_data` is a dict. + If True, `incoming_graph_data` is assumed to be a + dict-of-dict-of-dict-of-dict structure keyed by + node to neighbor to edge keys to edge data for multi-edges. + A NetworkXError is raised if this is not the case. + If False, :func:`to_networkx_graph` is used to try to determine + the dict's graph data structure as either a dict-of-dict-of-dict + keyed by node to neighbor to edge data, or a dict-of-iterable + keyed by node to neighbors. + If None, the treatment for True is tried, but if it fails, + the treatment for False is tried. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + convert + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G = nx.Graph(name="my graph") + >>> e = [(1, 2), (2, 3), (3, 4)] # list of edges + >>> G = nx.Graph(e) + + Arbitrary graph attribute pairs (key=value) may be assigned + + >>> G = nx.Graph(e, day="Friday") + >>> G.graph + {'day': 'Friday'} + + """ + # multigraph_input can be None/True/False. So check "is not False" + if isinstance(incoming_graph_data, dict) and multigraph_input is not False: + DiGraph.__init__(self) + try: + convert.from_dict_of_dicts( + incoming_graph_data, create_using=self, multigraph_input=True + ) + self.graph.update(attr) + except Exception as err: + if multigraph_input is True: + raise nx.NetworkXError( + f"converting multigraph_input raised:\n{type(err)}: {err}" + ) + DiGraph.__init__(self, incoming_graph_data, **attr) + else: + DiGraph.__init__(self, incoming_graph_data, **attr) + + @cached_property + def adj(self): + """Graph adjacency object holding the neighbors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edgekey-dict. So `G.adj[3][2][0]['color'] = 'blue'` sets + the color of the edge `(3, 2, 0)` to `"blue"`. + + Iterating over G.adj behaves like a dict. Useful idioms include + `for nbr, datadict in G.adj[n].items():`. + + The neighbor information is also provided by subscripting the graph. + So `for nbr, foovalue in G[node].data('foo', default=1):` works. + + For directed graphs, `G.adj` holds outgoing (successor) info. + """ + return MultiAdjacencyView(self._succ) + + @cached_property + def succ(self): + """Graph adjacency object holding the successors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edgekey-dict. So `G.adj[3][2][0]['color'] = 'blue'` sets + the color of the edge `(3, 2, 0)` to `"blue"`. + + Iterating over G.adj behaves like a dict. Useful idioms include + `for nbr, datadict in G.adj[n].items():`. + + The neighbor information is also provided by subscripting the graph. + So `for nbr, foovalue in G[node].data('foo', default=1):` works. + + For directed graphs, `G.succ` is identical to `G.adj`. + """ + return MultiAdjacencyView(self._succ) + + @cached_property + def pred(self): + """Graph adjacency object holding the predecessors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edgekey-dict. So `G.adj[3][2][0]['color'] = 'blue'` sets + the color of the edge `(3, 2, 0)` to `"blue"`. + + Iterating over G.adj behaves like a dict. Useful idioms include + `for nbr, datadict in G.adj[n].items():`. + """ + return MultiAdjacencyView(self._pred) + + def add_edge(self, u_for_edge, v_for_edge, key=None, **attr): + """Add an edge between u and v. + + The nodes u and v will be automatically added if they are + not already in the graph. + + Edge attributes can be specified with keywords or by directly + accessing the edge's attribute dictionary. See examples below. + + Parameters + ---------- + u_for_edge, v_for_edge : nodes + Nodes can be, for example, strings or numbers. + Nodes must be hashable (and not None) Python objects. + key : hashable identifier, optional (default=lowest unused integer) + Used to distinguish multiedges between a pair of nodes. + attr : keyword arguments, optional + Edge data (or labels or objects) can be assigned using + keyword arguments. + + Returns + ------- + The edge key assigned to the edge. + + See Also + -------- + add_edges_from : add a collection of edges + + Notes + ----- + To replace/update edge data, use the optional key argument + to identify a unique edge. Otherwise a new edge will be created. + + NetworkX algorithms designed for weighted graphs cannot use + multigraphs directly because it is not clear how to handle + multiedge weights. Convert to Graph using edge attribute + 'weight' to enable weighted graph algorithms. + + Default keys are generated using the method `new_edge_key()`. + This method can be overridden by subclassing the base class and + providing a custom `new_edge_key()` method. + + Examples + -------- + The following all add the edge e=(1, 2) to graph G: + + >>> G = nx.MultiDiGraph() + >>> e = (1, 2) + >>> key = G.add_edge(1, 2) # explicit two-node form + >>> G.add_edge(*e) # single edge as tuple of two nodes + 1 + >>> G.add_edges_from([(1, 2)]) # add edges from iterable container + [2] + + Associate data to edges using keywords: + + >>> key = G.add_edge(1, 2, weight=3) + >>> key = G.add_edge(1, 2, key=0, weight=4) # update data for key=0 + >>> key = G.add_edge(1, 3, weight=7, capacity=15, length=342.7) + + For non-string attribute keys, use subscript notation. + + >>> ekey = G.add_edge(1, 2) + >>> G[1][2][0].update({0: 5}) + >>> G.edges[1, 2, 0].update({0: 5}) + """ + u, v = u_for_edge, v_for_edge + # add nodes + if u not in self._succ: + if u is None: + raise ValueError("None cannot be a node") + self._succ[u] = self.adjlist_inner_dict_factory() + self._pred[u] = self.adjlist_inner_dict_factory() + self._node[u] = self.node_attr_dict_factory() + if v not in self._succ: + if v is None: + raise ValueError("None cannot be a node") + self._succ[v] = self.adjlist_inner_dict_factory() + self._pred[v] = self.adjlist_inner_dict_factory() + self._node[v] = self.node_attr_dict_factory() + if key is None: + key = self.new_edge_key(u, v) + if v in self._succ[u]: + keydict = self._adj[u][v] + datadict = keydict.get(key, self.edge_attr_dict_factory()) + datadict.update(attr) + keydict[key] = datadict + else: + # selfloops work this way without special treatment + datadict = self.edge_attr_dict_factory() + datadict.update(attr) + keydict = self.edge_key_dict_factory() + keydict[key] = datadict + self._succ[u][v] = keydict + self._pred[v][u] = keydict + nx._clear_cache(self) + return key + + def remove_edge(self, u, v, key=None): + """Remove an edge between u and v. + + Parameters + ---------- + u, v : nodes + Remove an edge between nodes u and v. + key : hashable identifier, optional (default=None) + Used to distinguish multiple edges between a pair of nodes. + If None, remove a single edge between u and v. If there are + multiple edges, removes the last edge added in terms of + insertion order. + + Raises + ------ + NetworkXError + If there is not an edge between u and v, or + if there is no edge with the specified key. + + See Also + -------- + remove_edges_from : remove a collection of edges + + Examples + -------- + >>> G = nx.MultiDiGraph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.remove_edge(0, 1) + >>> e = (1, 2) + >>> G.remove_edge(*e) # unpacks e from an edge tuple + + For multiple edges + + >>> G = nx.MultiDiGraph() + >>> G.add_edges_from([(1, 2), (1, 2), (1, 2)]) # key_list returned + [0, 1, 2] + + When ``key=None`` (the default), edges are removed in the opposite + order that they were added: + + >>> G.remove_edge(1, 2) + >>> G.edges(keys=True) + OutMultiEdgeView([(1, 2, 0), (1, 2, 1)]) + + For edges with keys + + >>> G = nx.MultiDiGraph() + >>> G.add_edge(1, 2, key="first") + 'first' + >>> G.add_edge(1, 2, key="second") + 'second' + >>> G.remove_edge(1, 2, key="first") + >>> G.edges(keys=True) + OutMultiEdgeView([(1, 2, 'second')]) + + """ + try: + d = self._adj[u][v] + except KeyError as err: + raise NetworkXError(f"The edge {u}-{v} is not in the graph.") from err + # remove the edge with specified data + if key is None: + d.popitem() + else: + try: + del d[key] + except KeyError as err: + msg = f"The edge {u}-{v} with key {key} is not in the graph." + raise NetworkXError(msg) from err + if len(d) == 0: + # remove the key entries if last edge + del self._succ[u][v] + del self._pred[v][u] + nx._clear_cache(self) + + @cached_property + def edges(self): + """An OutMultiEdgeView of the Graph as G.edges or G.edges(). + + edges(self, nbunch=None, data=False, keys=False, default=None) + + The OutMultiEdgeView provides set-like operations on the edge-tuples + as well as edge attribute lookup. When called, it also provides + an EdgeDataView object which allows control of access to edge + attributes (but does not provide set-like operations). + Hence, ``G.edges[u, v, k]['color']`` provides the value of the color + attribute for the edge from ``u`` to ``v`` with key ``k`` while + ``for (u, v, k, c) in G.edges(data='color', default='red', keys=True):`` + iterates through all the edges yielding the color attribute with + default `'red'` if no color attribute exists. + + Edges are returned as tuples with optional data and keys + in the order (node, neighbor, key, data). If ``keys=True`` is not + provided, the tuples will just be (node, neighbor, data), but + multiple tuples with the same node and neighbor will be + generated when multiple edges between two nodes exist. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges from these nodes. + data : string or bool, optional (default=False) + The edge attribute returned in 3-tuple (u, v, ddict[data]). + If True, return edge attribute dict in 3-tuple (u, v, ddict). + If False, return 2-tuple (u, v). + keys : bool, optional (default=False) + If True, return edge keys with each edge, creating (u, v, k, + d) tuples when data is also requested (the default) and (u, + v, k) tuples when data is not requested. + default : value, optional (default=None) + Value used for edges that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + edges : OutMultiEdgeView + A view of edge attributes, usually it iterates over (u, v) + (u, v, k) or (u, v, k, d) tuples of edges, but can also be + used for attribute lookup as ``edges[u, v, k]['foo']``. + + Notes + ----- + Nodes in nbunch that are not in the graph will be (quietly) ignored. + For directed graphs this returns the out-edges. + + Examples + -------- + >>> G = nx.MultiDiGraph() + >>> nx.add_path(G, [0, 1, 2]) + >>> key = G.add_edge(2, 3, weight=5) + >>> key2 = G.add_edge(1, 2) # second edge between these nodes + >>> [e for e in G.edges()] + [(0, 1), (1, 2), (1, 2), (2, 3)] + >>> list(G.edges(data=True)) # default data is {} (empty dict) + [(0, 1, {}), (1, 2, {}), (1, 2, {}), (2, 3, {'weight': 5})] + >>> list(G.edges(data="weight", default=1)) + [(0, 1, 1), (1, 2, 1), (1, 2, 1), (2, 3, 5)] + >>> list(G.edges(keys=True)) # default keys are integers + [(0, 1, 0), (1, 2, 0), (1, 2, 1), (2, 3, 0)] + >>> list(G.edges(data=True, keys=True)) + [(0, 1, 0, {}), (1, 2, 0, {}), (1, 2, 1, {}), (2, 3, 0, {'weight': 5})] + >>> list(G.edges(data="weight", default=1, keys=True)) + [(0, 1, 0, 1), (1, 2, 0, 1), (1, 2, 1, 1), (2, 3, 0, 5)] + >>> list(G.edges([0, 2])) + [(0, 1), (2, 3)] + >>> list(G.edges(0)) + [(0, 1)] + >>> list(G.edges(1)) + [(1, 2), (1, 2)] + + See Also + -------- + in_edges, out_edges + """ + return OutMultiEdgeView(self) + + # alias out_edges to edges + @cached_property + def out_edges(self): + return OutMultiEdgeView(self) + + out_edges.__doc__ = edges.__doc__ + + @cached_property + def in_edges(self): + """A view of the in edges of the graph as G.in_edges or G.in_edges(). + + in_edges(self, nbunch=None, data=False, keys=False, default=None) + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + data : string or bool, optional (default=False) + The edge attribute returned in 3-tuple (u, v, ddict[data]). + If True, return edge attribute dict in 3-tuple (u, v, ddict). + If False, return 2-tuple (u, v). + keys : bool, optional (default=False) + If True, return edge keys with each edge, creating 3-tuples + (u, v, k) or with data, 4-tuples (u, v, k, d). + default : value, optional (default=None) + Value used for edges that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + in_edges : InMultiEdgeView or InMultiEdgeDataView + A view of edge attributes, usually it iterates over (u, v) + or (u, v, k) or (u, v, k, d) tuples of edges, but can also be + used for attribute lookup as `edges[u, v, k]['foo']`. + + See Also + -------- + edges + """ + return InMultiEdgeView(self) + + @cached_property + def degree(self): + """A DegreeView for the Graph as G.degree or G.degree(). + + The node degree is the number of edges adjacent to the node. + The weighted node degree is the sum of the edge weights for + edges incident to that node. + + This object provides an iterator for (node, degree) as well as + lookup for the degree for a single node. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The name of an edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights adjacent to the node. + + Returns + ------- + DiMultiDegreeView or int + If multiple nodes are requested (the default), returns a `DiMultiDegreeView` + mapping nodes to their degree. + If a single node is requested, returns the degree of the node as an integer. + + See Also + -------- + out_degree, in_degree + + Examples + -------- + >>> G = nx.MultiDiGraph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.degree(0) # node 0 with degree 1 + 1 + >>> list(G.degree([0, 1, 2])) + [(0, 1), (1, 2), (2, 2)] + >>> G.add_edge(0, 1) # parallel edge + 1 + >>> list(G.degree([0, 1, 2])) # parallel edges are counted + [(0, 2), (1, 3), (2, 2)] + + """ + return DiMultiDegreeView(self) + + @cached_property + def in_degree(self): + """A DegreeView for (node, in_degree) or in_degree for single node. + + The node in-degree is the number of edges pointing into the node. + The weighted node degree is the sum of the edge weights for + edges incident to that node. + + This object provides an iterator for (node, degree) as well as + lookup for the degree for a single node. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights adjacent to the node. + + Returns + ------- + If a single node is requested + deg : int + Degree of the node + + OR if multiple nodes are requested + nd_iter : iterator + The iterator returns two-tuples of (node, in-degree). + + See Also + -------- + degree, out_degree + + Examples + -------- + >>> G = nx.MultiDiGraph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.in_degree(0) # node 0 with degree 0 + 0 + >>> list(G.in_degree([0, 1, 2])) + [(0, 0), (1, 1), (2, 1)] + >>> G.add_edge(0, 1) # parallel edge + 1 + >>> list(G.in_degree([0, 1, 2])) # parallel edges counted + [(0, 0), (1, 2), (2, 1)] + + """ + return InMultiDegreeView(self) + + @cached_property + def out_degree(self): + """Returns an iterator for (node, out-degree) or out-degree for single node. + + out_degree(self, nbunch=None, weight=None) + + The node out-degree is the number of edges pointing out of the node. + This function returns the out-degree for a single node or an iterator + for a bunch of nodes or if nothing is passed as argument. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights. + + Returns + ------- + If a single node is requested + deg : int + Degree of the node + + OR if multiple nodes are requested + nd_iter : iterator + The iterator returns two-tuples of (node, out-degree). + + See Also + -------- + degree, in_degree + + Examples + -------- + >>> G = nx.MultiDiGraph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.out_degree(0) # node 0 with degree 1 + 1 + >>> list(G.out_degree([0, 1, 2])) + [(0, 1), (1, 1), (2, 1)] + >>> G.add_edge(0, 1) # parallel edge + 1 + >>> list(G.out_degree([0, 1, 2])) # counts parallel edges + [(0, 2), (1, 1), (2, 1)] + + """ + return OutMultiDegreeView(self) + + def is_multigraph(self): + """Returns True if graph is a multigraph, False otherwise.""" + return True + + def is_directed(self): + """Returns True if graph is directed, False otherwise.""" + return True + + def to_undirected(self, reciprocal=False, as_view=False): + """Returns an undirected representation of the digraph. + + Parameters + ---------- + reciprocal : bool (optional) + If True only keep edges that appear in both directions + in the original digraph. + as_view : bool (optional, default=False) + If True return an undirected view of the original directed graph. + + Returns + ------- + G : MultiGraph + An undirected graph with the same name and nodes and + with edge (u, v, data) if either (u, v, data) or (v, u, data) + is in the digraph. If both edges exist in digraph and + their edge data is different, only one edge is created + with an arbitrary choice of which edge data to use. + You must check and correct for this manually if desired. + + See Also + -------- + MultiGraph, copy, add_edge, add_edges_from + + Notes + ----- + This returns a "deepcopy" of the edge, node, and + graph attributes which attempts to completely copy + all of the data and references. + + This is in contrast to the similar D=MultiDiGraph(G) which + returns a shallow copy of the data. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Warning: If you have subclassed MultiDiGraph to use dict-like + objects in the data structure, those changes do not transfer + to the MultiGraph created by this method. + + Examples + -------- + >>> G = nx.path_graph(2) # or MultiGraph, etc + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1), (1, 0)] + >>> G2 = H.to_undirected() + >>> list(G2.edges) + [(0, 1)] + """ + graph_class = self.to_undirected_class() + if as_view is True: + return nx.graphviews.generic_graph_view(self, graph_class) + # deepcopy when not a view + G = graph_class() + G.graph.update(deepcopy(self.graph)) + G.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) + if reciprocal is True: + G.add_edges_from( + (u, v, key, deepcopy(data)) + for u, nbrs in self._adj.items() + for v, keydict in nbrs.items() + for key, data in keydict.items() + if v in self._pred[u] and key in self._pred[u][v] + ) + else: + G.add_edges_from( + (u, v, key, deepcopy(data)) + for u, nbrs in self._adj.items() + for v, keydict in nbrs.items() + for key, data in keydict.items() + ) + return G + + def reverse(self, copy=True): + """Returns the reverse of the graph. + + The reverse is a graph with the same nodes and edges + but with the directions of the edges reversed. + + Parameters + ---------- + copy : bool optional (default=True) + If True, return a new DiGraph holding the reversed edges. + If False, the reverse graph is created using a view of + the original graph. + """ + if copy: + H = self.__class__() + H.graph.update(deepcopy(self.graph)) + H.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) + H.add_edges_from( + (v, u, k, deepcopy(d)) + for u, v, k, d in self.edges(keys=True, data=True) + ) + return H + return nx.reverse_view(self) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/multigraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/multigraph.py new file mode 100644 index 0000000000000000000000000000000000000000..0e3f1aecdd3ba76ecaa746af7f5b487b0fc7c7f3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/multigraph.py @@ -0,0 +1,1283 @@ +"""Base class for MultiGraph.""" + +from copy import deepcopy +from functools import cached_property + +import networkx as nx +from networkx import NetworkXError, convert +from networkx.classes.coreviews import MultiAdjacencyView +from networkx.classes.graph import Graph +from networkx.classes.reportviews import MultiDegreeView, MultiEdgeView + +__all__ = ["MultiGraph"] + + +class MultiGraph(Graph): + """ + An undirected graph class that can store multiedges. + + Multiedges are multiple edges between two nodes. Each edge + can hold optional data or attributes. + + A MultiGraph holds undirected edges. Self loops are allowed. + + Nodes can be arbitrary (hashable) Python objects with optional + key/value attributes. By convention `None` is not used as a node. + + Edges are represented as links between nodes with optional + key/value attributes, in a MultiGraph each edge has a key to + distinguish between multiple edges that have the same source and + destination nodes. + + Parameters + ---------- + incoming_graph_data : input graph (optional, default: None) + Data to initialize graph. If None (default) an empty + graph is created. The data can be any format that is supported + by the to_networkx_graph() function, currently including edge list, + dict of dicts, dict of lists, NetworkX graph, 2D NumPy array, + SciPy sparse array, or PyGraphviz graph. + + multigraph_input : bool or None (default None) + Note: Only used when `incoming_graph_data` is a dict. + If True, `incoming_graph_data` is assumed to be a + dict-of-dict-of-dict-of-dict structure keyed by + node to neighbor to edge keys to edge data for multi-edges. + A NetworkXError is raised if this is not the case. + If False, :func:`to_networkx_graph` is used to try to determine + the dict's graph data structure as either a dict-of-dict-of-dict + keyed by node to neighbor to edge data, or a dict-of-iterable + keyed by node to neighbors. + If None, the treatment for True is tried, but if it fails, + the treatment for False is tried. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + Graph + DiGraph + MultiDiGraph + + Examples + -------- + Create an empty graph structure (a "null graph") with no nodes and + no edges. + + >>> G = nx.MultiGraph() + + G can be grown in several ways. + + **Nodes:** + + Add one node at a time: + + >>> G.add_node(1) + + Add the nodes from any container (a list, dict, set or + even the lines from a file or the nodes from another graph). + + >>> G.add_nodes_from([2, 3]) + >>> G.add_nodes_from(range(100, 110)) + >>> H = nx.path_graph(10) + >>> G.add_nodes_from(H) + + In addition to strings and integers any hashable Python object + (except None) can represent a node, e.g. a customized node object, + or even another Graph. + + >>> G.add_node(H) + + **Edges:** + + G can also be grown by adding edges. + + Add one edge, + + >>> key = G.add_edge(1, 2) + + a list of edges, + + >>> keys = G.add_edges_from([(1, 2), (1, 3)]) + + or a collection of edges, + + >>> keys = G.add_edges_from(H.edges) + + If some edges connect nodes not yet in the graph, the nodes + are added automatically. If an edge already exists, an additional + edge is created and stored using a key to identify the edge. + By default the key is the lowest unused integer. + + >>> keys = G.add_edges_from([(4, 5, {"route": 28}), (4, 5, {"route": 37})]) + >>> G[4] + AdjacencyView({3: {0: {}}, 5: {0: {}, 1: {'route': 28}, 2: {'route': 37}}}) + + **Attributes:** + + Each graph, node, and edge can hold key/value attribute pairs + in an associated attribute dictionary (the keys must be hashable). + By default these are empty, but can be added or changed using + add_edge, add_node or direct manipulation of the attribute + dictionaries named graph, node and edge respectively. + + >>> G = nx.MultiGraph(day="Friday") + >>> G.graph + {'day': 'Friday'} + + Add node attributes using add_node(), add_nodes_from() or G.nodes + + >>> G.add_node(1, time="5pm") + >>> G.add_nodes_from([3], time="2pm") + >>> G.nodes[1] + {'time': '5pm'} + >>> G.nodes[1]["room"] = 714 + >>> del G.nodes[1]["room"] # remove attribute + >>> list(G.nodes(data=True)) + [(1, {'time': '5pm'}), (3, {'time': '2pm'})] + + Add edge attributes using add_edge(), add_edges_from(), subscript + notation, or G.edges. + + >>> key = G.add_edge(1, 2, weight=4.7) + >>> keys = G.add_edges_from([(3, 4), (4, 5)], color="red") + >>> keys = G.add_edges_from([(1, 2, {"color": "blue"}), (2, 3, {"weight": 8})]) + >>> G[1][2][0]["weight"] = 4.7 + >>> G.edges[1, 2, 0]["weight"] = 4 + + Warning: we protect the graph data structure by making `G.edges[1, + 2, 0]` a read-only dict-like structure. However, you can assign to + attributes in e.g. `G.edges[1, 2, 0]`. Thus, use 2 sets of brackets + to add/change data attributes: `G.edges[1, 2, 0]['weight'] = 4`. + + **Shortcuts:** + + Many common graph features allow python syntax to speed reporting. + + >>> 1 in G # check if node in graph + True + >>> [n for n in G if n < 3] # iterate through nodes + [1, 2] + >>> len(G) # number of nodes in graph + 5 + >>> G[1] # adjacency dict-like view mapping neighbor -> edge key -> edge attributes + AdjacencyView({2: {0: {'weight': 4}, 1: {'color': 'blue'}}}) + + Often the best way to traverse all edges of a graph is via the neighbors. + The neighbors are reported as an adjacency-dict `G.adj` or `G.adjacency()`. + + >>> for n, nbrsdict in G.adjacency(): + ... for nbr, keydict in nbrsdict.items(): + ... for key, eattr in keydict.items(): + ... if "weight" in eattr: + ... # Do something useful with the edges + ... pass + + But the edges() method is often more convenient: + + >>> for u, v, keys, weight in G.edges(data="weight", keys=True): + ... if weight is not None: + ... # Do something useful with the edges + ... pass + + **Reporting:** + + Simple graph information is obtained using methods and object-attributes. + Reporting usually provides views instead of containers to reduce memory + usage. The views update as the graph is updated similarly to dict-views. + The objects `nodes`, `edges` and `adj` provide access to data attributes + via lookup (e.g. `nodes[n]`, `edges[u, v, k]`, `adj[u][v]`) and iteration + (e.g. `nodes.items()`, `nodes.data('color')`, + `nodes.data('color', default='blue')` and similarly for `edges`) + Views exist for `nodes`, `edges`, `neighbors()`/`adj` and `degree`. + + For details on these and other miscellaneous methods, see below. + + **Subclasses (Advanced):** + + The MultiGraph class uses a dict-of-dict-of-dict-of-dict data structure. + The outer dict (node_dict) holds adjacency information keyed by node. + The next dict (adjlist_dict) represents the adjacency information + and holds edge_key dicts keyed by neighbor. The edge_key dict holds + each edge_attr dict keyed by edge key. The inner dict + (edge_attr_dict) represents the edge data and holds edge attribute + values keyed by attribute names. + + Each of these four dicts in the dict-of-dict-of-dict-of-dict + structure can be replaced by a user defined dict-like object. + In general, the dict-like features should be maintained but + extra features can be added. To replace one of the dicts create + a new graph class by changing the class(!) variable holding the + factory for that dict-like structure. The variable names are + node_dict_factory, node_attr_dict_factory, adjlist_inner_dict_factory, + adjlist_outer_dict_factory, edge_key_dict_factory, edge_attr_dict_factory + and graph_attr_dict_factory. + + node_dict_factory : function, (default: dict) + Factory function to be used to create the dict containing node + attributes, keyed by node id. + It should require no arguments and return a dict-like object + + node_attr_dict_factory: function, (default: dict) + Factory function to be used to create the node attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object + + adjlist_outer_dict_factory : function, (default: dict) + Factory function to be used to create the outer-most dict + in the data structure that holds adjacency info keyed by node. + It should require no arguments and return a dict-like object. + + adjlist_inner_dict_factory : function, (default: dict) + Factory function to be used to create the adjacency list + dict which holds multiedge key dicts keyed by neighbor. + It should require no arguments and return a dict-like object. + + edge_key_dict_factory : function, (default: dict) + Factory function to be used to create the edge key dict + which holds edge data keyed by edge key. + It should require no arguments and return a dict-like object. + + edge_attr_dict_factory : function, (default: dict) + Factory function to be used to create the edge attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + graph_attr_dict_factory : function, (default: dict) + Factory function to be used to create the graph attribute + dict which holds attribute values keyed by attribute name. + It should require no arguments and return a dict-like object. + + Typically, if your extension doesn't impact the data structure all + methods will inherited without issue except: `to_directed/to_undirected`. + By default these methods create a DiGraph/Graph class and you probably + want them to create your extension of a DiGraph/Graph. To facilitate + this we define two class variables that you can set in your subclass. + + to_directed_class : callable, (default: DiGraph or MultiDiGraph) + Class to create a new graph structure in the `to_directed` method. + If `None`, a NetworkX class (DiGraph or MultiDiGraph) is used. + + to_undirected_class : callable, (default: Graph or MultiGraph) + Class to create a new graph structure in the `to_undirected` method. + If `None`, a NetworkX class (Graph or MultiGraph) is used. + + **Subclassing Example** + + Create a low memory graph class that effectively disallows edge + attributes by using a single attribute dict for all edges. + This reduces the memory used, but you lose edge attributes. + + >>> class ThinGraph(nx.Graph): + ... all_edge_dict = {"weight": 1} + ... + ... def single_edge_dict(self): + ... return self.all_edge_dict + ... + ... edge_attr_dict_factory = single_edge_dict + >>> G = ThinGraph() + >>> G.add_edge(2, 1) + >>> G[2][1] + {'weight': 1} + >>> G.add_edge(2, 2) + >>> G[2][1] is G[2][2] + True + """ + + # node_dict_factory = dict # already assigned in Graph + # adjlist_outer_dict_factory = dict + # adjlist_inner_dict_factory = dict + edge_key_dict_factory = dict + # edge_attr_dict_factory = dict + + def to_directed_class(self): + """Returns the class to use for empty directed copies. + + If you subclass the base classes, use this to designate + what directed class to use for `to_directed()` copies. + """ + return nx.MultiDiGraph + + def to_undirected_class(self): + """Returns the class to use for empty undirected copies. + + If you subclass the base classes, use this to designate + what directed class to use for `to_directed()` copies. + """ + return MultiGraph + + def __init__(self, incoming_graph_data=None, multigraph_input=None, **attr): + """Initialize a graph with edges, name, or graph attributes. + + Parameters + ---------- + incoming_graph_data : input graph + Data to initialize graph. If incoming_graph_data=None (default) + an empty graph is created. The data can be an edge list, or any + NetworkX graph object. If the corresponding optional Python + packages are installed the data can also be a 2D NumPy array, a + SciPy sparse array, or a PyGraphviz graph. + + multigraph_input : bool or None (default None) + Note: Only used when `incoming_graph_data` is a dict. + If True, `incoming_graph_data` is assumed to be a + dict-of-dict-of-dict-of-dict structure keyed by + node to neighbor to edge keys to edge data for multi-edges. + A NetworkXError is raised if this is not the case. + If False, :func:`to_networkx_graph` is used to try to determine + the dict's graph data structure as either a dict-of-dict-of-dict + keyed by node to neighbor to edge data, or a dict-of-iterable + keyed by node to neighbors. + If None, the treatment for True is tried, but if it fails, + the treatment for False is tried. + + attr : keyword arguments, optional (default= no attributes) + Attributes to add to graph as key=value pairs. + + See Also + -------- + convert + + Examples + -------- + >>> G = nx.MultiGraph() + >>> G = nx.MultiGraph(name="my graph") + >>> e = [(1, 2), (1, 2), (2, 3), (3, 4)] # list of edges + >>> G = nx.MultiGraph(e) + + Arbitrary graph attribute pairs (key=value) may be assigned + + >>> G = nx.MultiGraph(e, day="Friday") + >>> G.graph + {'day': 'Friday'} + + """ + # multigraph_input can be None/True/False. So check "is not False" + if isinstance(incoming_graph_data, dict) and multigraph_input is not False: + Graph.__init__(self) + try: + convert.from_dict_of_dicts( + incoming_graph_data, create_using=self, multigraph_input=True + ) + self.graph.update(attr) + except Exception as err: + if multigraph_input is True: + raise nx.NetworkXError( + f"converting multigraph_input raised:\n{type(err)}: {err}" + ) + Graph.__init__(self, incoming_graph_data, **attr) + else: + Graph.__init__(self, incoming_graph_data, **attr) + + @cached_property + def adj(self): + """Graph adjacency object holding the neighbors of each node. + + This object is a read-only dict-like structure with node keys + and neighbor-dict values. The neighbor-dict is keyed by neighbor + to the edgekey-data-dict. So `G.adj[3][2][0]['color'] = 'blue'` sets + the color of the edge `(3, 2, 0)` to `"blue"`. + + Iterating over G.adj behaves like a dict. Useful idioms include + `for nbr, edgesdict in G.adj[n].items():`. + + The neighbor information is also provided by subscripting the graph. + + Examples + -------- + >>> e = [(1, 2), (1, 2), (1, 3), (3, 4)] # list of edges + >>> G = nx.MultiGraph(e) + >>> G.edges[1, 2, 0]["weight"] = 3 + >>> result = set() + >>> for edgekey, data in G[1][2].items(): + ... result.add(data.get("weight", 1)) + >>> result + {1, 3} + + For directed graphs, `G.adj` holds outgoing (successor) info. + """ + return MultiAdjacencyView(self._adj) + + def new_edge_key(self, u, v): + """Returns an unused key for edges between nodes `u` and `v`. + + The nodes `u` and `v` do not need to be already in the graph. + + Notes + ----- + In the standard MultiGraph class the new key is the number of existing + edges between `u` and `v` (increased if necessary to ensure unused). + The first edge will have key 0, then 1, etc. If an edge is removed + further new_edge_keys may not be in this order. + + Parameters + ---------- + u, v : nodes + + Returns + ------- + key : int + """ + try: + keydict = self._adj[u][v] + except KeyError: + return 0 + key = len(keydict) + while key in keydict: + key += 1 + return key + + def add_edge(self, u_for_edge, v_for_edge, key=None, **attr): + """Add an edge between u and v. + + The nodes u and v will be automatically added if they are + not already in the graph. + + Edge attributes can be specified with keywords or by directly + accessing the edge's attribute dictionary. See examples below. + + Parameters + ---------- + u_for_edge, v_for_edge : nodes + Nodes can be, for example, strings or numbers. + Nodes must be hashable (and not None) Python objects. + key : hashable identifier, optional (default=lowest unused integer) + Used to distinguish multiedges between a pair of nodes. + attr : keyword arguments, optional + Edge data (or labels or objects) can be assigned using + keyword arguments. + + Returns + ------- + The edge key assigned to the edge. + + See Also + -------- + add_edges_from : add a collection of edges + + Notes + ----- + To replace/update edge data, use the optional key argument + to identify a unique edge. Otherwise a new edge will be created. + + NetworkX algorithms designed for weighted graphs cannot use + multigraphs directly because it is not clear how to handle + multiedge weights. Convert to Graph using edge attribute + 'weight' to enable weighted graph algorithms. + + Default keys are generated using the method `new_edge_key()`. + This method can be overridden by subclassing the base class and + providing a custom `new_edge_key()` method. + + Examples + -------- + The following each add an additional edge e=(1, 2) to graph G: + + >>> G = nx.MultiGraph() + >>> e = (1, 2) + >>> ekey = G.add_edge(1, 2) # explicit two-node form + >>> G.add_edge(*e) # single edge as tuple of two nodes + 1 + >>> G.add_edges_from([(1, 2)]) # add edges from iterable container + [2] + + Associate data to edges using keywords: + + >>> ekey = G.add_edge(1, 2, weight=3) + >>> ekey = G.add_edge(1, 2, key=0, weight=4) # update data for key=0 + >>> ekey = G.add_edge(1, 3, weight=7, capacity=15, length=342.7) + + For non-string attribute keys, use subscript notation. + + >>> ekey = G.add_edge(1, 2) + >>> G[1][2][0].update({0: 5}) + >>> G.edges[1, 2, 0].update({0: 5}) + """ + u, v = u_for_edge, v_for_edge + # add nodes + if u not in self._adj: + if u is None: + raise ValueError("None cannot be a node") + self._adj[u] = self.adjlist_inner_dict_factory() + self._node[u] = self.node_attr_dict_factory() + if v not in self._adj: + if v is None: + raise ValueError("None cannot be a node") + self._adj[v] = self.adjlist_inner_dict_factory() + self._node[v] = self.node_attr_dict_factory() + if key is None: + key = self.new_edge_key(u, v) + if v in self._adj[u]: + keydict = self._adj[u][v] + datadict = keydict.get(key, self.edge_attr_dict_factory()) + datadict.update(attr) + keydict[key] = datadict + else: + # selfloops work this way without special treatment + datadict = self.edge_attr_dict_factory() + datadict.update(attr) + keydict = self.edge_key_dict_factory() + keydict[key] = datadict + self._adj[u][v] = keydict + self._adj[v][u] = keydict + nx._clear_cache(self) + return key + + def add_edges_from(self, ebunch_to_add, **attr): + """Add all the edges in ebunch_to_add. + + Parameters + ---------- + ebunch_to_add : container of edges + Each edge given in the container will be added to the + graph. The edges can be: + + - 2-tuples (u, v) or + - 3-tuples (u, v, d) for an edge data dict d, or + - 3-tuples (u, v, k) for not iterable key k, or + - 4-tuples (u, v, k, d) for an edge with data and key k + + attr : keyword arguments, optional + Edge data (or labels or objects) can be assigned using + keyword arguments. + + Returns + ------- + A list of edge keys assigned to the edges in `ebunch`. + + See Also + -------- + add_edge : add a single edge + add_weighted_edges_from : convenient way to add weighted edges + + Notes + ----- + Adding the same edge twice has no effect but any edge data + will be updated when each duplicate edge is added. + + Edge attributes specified in an ebunch take precedence over + attributes specified via keyword arguments. + + Default keys are generated using the method ``new_edge_key()``. + This method can be overridden by subclassing the base class and + providing a custom ``new_edge_key()`` method. + + When adding edges from an iterator over the graph you are changing, + a `RuntimeError` can be raised with message: + `RuntimeError: dictionary changed size during iteration`. This + happens when the graph's underlying dictionary is modified during + iteration. To avoid this error, evaluate the iterator into a separate + object, e.g. by using `list(iterator_of_edges)`, and pass this + object to `G.add_edges_from`. + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> G.add_edges_from([(0, 1), (1, 2)]) # using a list of edge tuples + >>> e = zip(range(0, 3), range(1, 4)) + >>> G.add_edges_from(e) # Add the path graph 0-1-2-3 + + Associate data to edges + + >>> G.add_edges_from([(1, 2), (2, 3)], weight=3) + >>> G.add_edges_from([(3, 4), (1, 4)], label="WN2898") + + Evaluate an iterator over a graph if using it to modify the same graph + + >>> G = nx.MultiGraph([(1, 2), (2, 3), (3, 4)]) + >>> # Grow graph by one new node, adding edges to all existing nodes. + >>> # wrong way - will raise RuntimeError + >>> # G.add_edges_from(((5, n) for n in G.nodes)) + >>> # right way - note that there will be no self-edge for node 5 + >>> assigned_keys = G.add_edges_from(list((5, n) for n in G.nodes)) + """ + keylist = [] + for e in ebunch_to_add: + ne = len(e) + if ne == 4: + u, v, key, dd = e + elif ne == 3: + u, v, dd = e + key = None + elif ne == 2: + u, v = e + dd = {} + key = None + else: + msg = f"Edge tuple {e} must be a 2-tuple, 3-tuple or 4-tuple." + raise NetworkXError(msg) + ddd = {} + ddd.update(attr) + try: + ddd.update(dd) + except (TypeError, ValueError): + if ne != 3: + raise + key = dd # ne == 3 with 3rd value not dict, must be a key + key = self.add_edge(u, v, key) + self[u][v][key].update(ddd) + keylist.append(key) + nx._clear_cache(self) + return keylist + + def remove_edge(self, u, v, key=None): + """Remove an edge between u and v. + + Parameters + ---------- + u, v : nodes + Remove an edge between nodes u and v. + key : hashable identifier, optional (default=None) + Used to distinguish multiple edges between a pair of nodes. + If None, remove a single edge between u and v. If there are + multiple edges, removes the last edge added in terms of + insertion order. + + Raises + ------ + NetworkXError + If there is not an edge between u and v, or + if there is no edge with the specified key. + + See Also + -------- + remove_edges_from : remove a collection of edges + + Examples + -------- + >>> G = nx.MultiGraph() + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.remove_edge(0, 1) + >>> e = (1, 2) + >>> G.remove_edge(*e) # unpacks e from an edge tuple + + For multiple edges + + >>> G = nx.MultiGraph() # or MultiDiGraph, etc + >>> G.add_edges_from([(1, 2), (1, 2), (1, 2)]) # key_list returned + [0, 1, 2] + + When ``key=None`` (the default), edges are removed in the opposite + order that they were added: + + >>> G.remove_edge(1, 2) + >>> G.edges(keys=True) + MultiEdgeView([(1, 2, 0), (1, 2, 1)]) + >>> G.remove_edge(2, 1) # edges are not directed + >>> G.edges(keys=True) + MultiEdgeView([(1, 2, 0)]) + + For edges with keys + + >>> G = nx.MultiGraph() + >>> G.add_edge(1, 2, key="first") + 'first' + >>> G.add_edge(1, 2, key="second") + 'second' + >>> G.remove_edge(1, 2, key="first") + >>> G.edges(keys=True) + MultiEdgeView([(1, 2, 'second')]) + + """ + try: + d = self._adj[u][v] + except KeyError as err: + raise NetworkXError(f"The edge {u}-{v} is not in the graph.") from err + # remove the edge with specified data + if key is None: + d.popitem() + else: + try: + del d[key] + except KeyError as err: + msg = f"The edge {u}-{v} with key {key} is not in the graph." + raise NetworkXError(msg) from err + if len(d) == 0: + # remove the key entries if last edge + del self._adj[u][v] + if u != v: # check for selfloop + del self._adj[v][u] + nx._clear_cache(self) + + def remove_edges_from(self, ebunch): + """Remove all edges specified in ebunch. + + Parameters + ---------- + ebunch: list or container of edge tuples + Each edge given in the list or container will be removed + from the graph. The edges can be: + + - 2-tuples (u, v) A single edge between u and v is removed. + - 3-tuples (u, v, key) The edge identified by key is removed. + - 4-tuples (u, v, key, data) where data is ignored. + + See Also + -------- + remove_edge : remove a single edge + + Notes + ----- + Will fail silently if an edge in ebunch is not in the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> ebunch = [(1, 2), (2, 3)] + >>> G.remove_edges_from(ebunch) + + Removing multiple copies of edges + + >>> G = nx.MultiGraph() + >>> keys = G.add_edges_from([(1, 2), (1, 2), (1, 2)]) + >>> G.remove_edges_from([(1, 2), (2, 1)]) # edges aren't directed + >>> list(G.edges()) + [(1, 2)] + >>> G.remove_edges_from([(1, 2), (1, 2)]) # silently ignore extra copy + >>> list(G.edges) # now empty graph + [] + + When the edge is a 2-tuple ``(u, v)`` but there are multiple edges between + u and v in the graph, the most recent edge (in terms of insertion + order) is removed. + + >>> G = nx.MultiGraph() + >>> for key in ("x", "y", "a"): + ... k = G.add_edge(0, 1, key=key) + >>> G.edges(keys=True) + MultiEdgeView([(0, 1, 'x'), (0, 1, 'y'), (0, 1, 'a')]) + >>> G.remove_edges_from([(0, 1)]) + >>> G.edges(keys=True) + MultiEdgeView([(0, 1, 'x'), (0, 1, 'y')]) + + """ + for e in ebunch: + try: + self.remove_edge(*e[:3]) + except NetworkXError: + pass + nx._clear_cache(self) + + def has_edge(self, u, v, key=None): + """Returns True if the graph has an edge between nodes u and v. + + This is the same as `v in G[u] or key in G[u][v]` + without KeyError exceptions. + + Parameters + ---------- + u, v : nodes + Nodes can be, for example, strings or numbers. + + key : hashable identifier, optional (default=None) + If specified return True only if the edge with + key is found. + + Returns + ------- + edge_ind : bool + True if edge is in the graph, False otherwise. + + Examples + -------- + Can be called either using two nodes u, v, an edge tuple (u, v), + or an edge tuple (u, v, key). + + >>> G = nx.MultiGraph() # or MultiDiGraph + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.has_edge(0, 1) # using two nodes + True + >>> e = (0, 1) + >>> G.has_edge(*e) # e is a 2-tuple (u, v) + True + >>> G.add_edge(0, 1, key="a") + 'a' + >>> G.has_edge(0, 1, key="a") # specify key + True + >>> G.has_edge(1, 0, key="a") # edges aren't directed + True + >>> e = (0, 1, "a") + >>> G.has_edge(*e) # e is a 3-tuple (u, v, 'a') + True + + The following syntax are equivalent: + + >>> G.has_edge(0, 1) + True + >>> 1 in G[0] # though this gives :exc:`KeyError` if 0 not in G + True + >>> 0 in G[1] # other order; also gives :exc:`KeyError` if 0 not in G + True + + """ + try: + if key is None: + return v in self._adj[u] + else: + return key in self._adj[u][v] + except KeyError: + return False + + @cached_property + def edges(self): + """Returns an iterator over the edges. + + edges(self, nbunch=None, data=False, keys=False, default=None) + + The MultiEdgeView provides set-like operations on the edge-tuples + as well as edge attribute lookup. When called, it also provides + an EdgeDataView object which allows control of access to edge + attributes (but does not provide set-like operations). + Hence, ``G.edges[u, v, k]['color']`` provides the value of the color + attribute for the edge from ``u`` to ``v`` with key ``k`` while + ``for (u, v, k, c) in G.edges(data='color', keys=True, default="red"):`` + iterates through all the edges yielding the color attribute with + default `'red'` if no color attribute exists. + + Edges are returned as tuples with optional data and keys + in the order (node, neighbor, key, data). If ``keys=True`` is not + provided, the tuples will just be (node, neighbor, data), but + multiple tuples with the same node and neighbor will be generated + when multiple edges exist between two nodes. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges from these nodes. + data : string or bool, optional (default=False) + The edge attribute returned in 3-tuple (u, v, ddict[data]). + If True, return edge attribute dict in 3-tuple (u, v, ddict). + If False, return 2-tuple (u, v). + keys : bool, optional (default=False) + If True, return edge keys with each edge, creating (u, v, k) + tuples or (u, v, k, d) tuples if data is also requested. + default : value, optional (default=None) + Value used for edges that don't have the requested attribute. + Only relevant if data is not True or False. + + Returns + ------- + edges : MultiEdgeView + A view of edge attributes, usually it iterates over (u, v) + (u, v, k) or (u, v, k, d) tuples of edges, but can also be + used for attribute lookup as ``edges[u, v, k]['foo']``. + + Notes + ----- + Nodes in nbunch that are not in the graph will be (quietly) ignored. + For directed graphs this returns the out-edges. + + Examples + -------- + >>> G = nx.MultiGraph() + >>> nx.add_path(G, [0, 1, 2]) + >>> key = G.add_edge(2, 3, weight=5) + >>> key2 = G.add_edge(2, 1, weight=2) # multi-edge + >>> [e for e in G.edges()] + [(0, 1), (1, 2), (1, 2), (2, 3)] + >>> G.edges.data() # default data is {} (empty dict) + MultiEdgeDataView([(0, 1, {}), (1, 2, {}), (1, 2, {'weight': 2}), (2, 3, {'weight': 5})]) + >>> G.edges.data("weight", default=1) + MultiEdgeDataView([(0, 1, 1), (1, 2, 1), (1, 2, 2), (2, 3, 5)]) + >>> G.edges(keys=True) # default keys are integers + MultiEdgeView([(0, 1, 0), (1, 2, 0), (1, 2, 1), (2, 3, 0)]) + >>> G.edges.data(keys=True) + MultiEdgeDataView([(0, 1, 0, {}), (1, 2, 0, {}), (1, 2, 1, {'weight': 2}), (2, 3, 0, {'weight': 5})]) + >>> G.edges.data("weight", default=1, keys=True) + MultiEdgeDataView([(0, 1, 0, 1), (1, 2, 0, 1), (1, 2, 1, 2), (2, 3, 0, 5)]) + >>> G.edges([0, 3]) # Note ordering of tuples from listed sources + MultiEdgeDataView([(0, 1), (3, 2)]) + >>> G.edges([0, 3, 2, 1]) # Note ordering of tuples + MultiEdgeDataView([(0, 1), (3, 2), (2, 1), (2, 1)]) + >>> G.edges(0) + MultiEdgeDataView([(0, 1)]) + """ + return MultiEdgeView(self) + + def get_edge_data(self, u, v, key=None, default=None): + """Returns the attribute dictionary associated with edge (u, v, + key). + + If a key is not provided, returns a dictionary mapping edge keys + to attribute dictionaries for each edge between u and v. + + This is identical to `G[u][v][key]` except the default is returned + instead of an exception is the edge doesn't exist. + + Parameters + ---------- + u, v : nodes + + default : any Python object (default=None) + Value to return if the specific edge (u, v, key) is not + found, OR if there are no edges between u and v and no key + is specified. + + key : hashable identifier, optional (default=None) + Return data only for the edge with specified key, as an + attribute dictionary (rather than a dictionary mapping keys + to attribute dictionaries). + + Returns + ------- + edge_dict : dictionary + The edge attribute dictionary, OR a dictionary mapping edge + keys to attribute dictionaries for each of those edges if no + specific key is provided (even if there's only one edge + between u and v). + + Examples + -------- + >>> G = nx.MultiGraph() # or MultiDiGraph + >>> key = G.add_edge(0, 1, key="a", weight=7) + >>> G[0][1]["a"] # key='a' + {'weight': 7} + >>> G.edges[0, 1, "a"] # key='a' + {'weight': 7} + + Warning: we protect the graph data structure by making + `G.edges` and `G[1][2]` read-only dict-like structures. + However, you can assign values to attributes in e.g. + `G.edges[1, 2, 'a']` or `G[1][2]['a']` using an additional + bracket as shown next. You need to specify all edge info + to assign to the edge data associated with an edge. + + >>> G[0][1]["a"]["weight"] = 10 + >>> G.edges[0, 1, "a"]["weight"] = 10 + >>> G[0][1]["a"]["weight"] + 10 + >>> G.edges[1, 0, "a"]["weight"] + 10 + + >>> G = nx.MultiGraph() # or MultiDiGraph + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.edges[0, 1, 0]["weight"] = 5 + >>> G.get_edge_data(0, 1) + {0: {'weight': 5}} + >>> e = (0, 1) + >>> G.get_edge_data(*e) # tuple form + {0: {'weight': 5}} + >>> G.get_edge_data(3, 0) # edge not in graph, returns None + >>> G.get_edge_data(3, 0, default=0) # edge not in graph, return default + 0 + >>> G.get_edge_data(1, 0, 0) # specific key gives back + {'weight': 5} + """ + try: + if key is None: + return self._adj[u][v] + else: + return self._adj[u][v][key] + except KeyError: + return default + + @cached_property + def degree(self): + """A DegreeView for the Graph as G.degree or G.degree(). + + The node degree is the number of edges adjacent to the node. + The weighted node degree is the sum of the edge weights for + edges incident to that node. + + This object provides an iterator for (node, degree) as well as + lookup for the degree for a single node. + + Parameters + ---------- + nbunch : single node, container, or all nodes (default= all nodes) + The view will only report edges incident to these nodes. + + weight : string or None, optional (default=None) + The name of an edge attribute that holds the numerical value used + as a weight. If None, then each edge has weight 1. + The degree is the sum of the edge weights adjacent to the node. + + Returns + ------- + MultiDegreeView or int + If multiple nodes are requested (the default), returns a `MultiDegreeView` + mapping nodes to their degree. + If a single node is requested, returns the degree of the node as an integer. + + Examples + -------- + >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> nx.add_path(G, [0, 1, 2, 3]) + >>> G.degree(0) # node 0 with degree 1 + 1 + >>> list(G.degree([0, 1])) + [(0, 1), (1, 2)] + + """ + return MultiDegreeView(self) + + def is_multigraph(self): + """Returns True if graph is a multigraph, False otherwise.""" + return True + + def is_directed(self): + """Returns True if graph is directed, False otherwise.""" + return False + + def copy(self, as_view=False): + """Returns a copy of the graph. + + The copy method by default returns an independent shallow copy + of the graph and attributes. That is, if an attribute is a + container, that container is shared by the original an the copy. + Use Python's `copy.deepcopy` for new containers. + + If `as_view` is True then a view is returned instead of a copy. + + Notes + ----- + All copies reproduce the graph structure, but data attributes + may be handled in different ways. There are four types of copies + of a graph that people might want. + + Deepcopy -- A "deepcopy" copies the graph structure as well as + all data attributes and any objects they might contain. + The entire graph object is new so that changes in the copy + do not affect the original object. (see Python's copy.deepcopy) + + Data Reference (Shallow) -- For a shallow copy the graph structure + is copied but the edge, node and graph attribute dicts are + references to those in the original graph. This saves + time and memory but could cause confusion if you change an attribute + in one graph and it changes the attribute in the other. + NetworkX does not provide this level of shallow copy. + + Independent Shallow -- This copy creates new independent attribute + dicts and then does a shallow copy of the attributes. That is, any + attributes that are containers are shared between the new graph + and the original. This is exactly what `dict.copy()` provides. + You can obtain this style copy using: + + >>> G = nx.path_graph(5) + >>> H = G.copy() + >>> H = G.copy(as_view=False) + >>> H = nx.Graph(G) + >>> H = G.__class__(G) + + Fresh Data -- For fresh data, the graph structure is copied while + new empty data attribute dicts are created. The resulting graph + is independent of the original and it has no edge, node or graph + attributes. Fresh copies are not enabled. Instead use: + + >>> H = G.__class__() + >>> H.add_nodes_from(G) + >>> H.add_edges_from(G.edges) + + View -- Inspired by dict-views, graph-views act like read-only + versions of the original graph, providing a copy of the original + structure without requiring any memory for copying the information. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Parameters + ---------- + as_view : bool, optional (default=False) + If True, the returned graph-view provides a read-only view + of the original graph without actually copying any data. + + Returns + ------- + G : Graph + A copy of the graph. + + See Also + -------- + to_directed: return a directed copy of the graph. + + Examples + -------- + >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc + >>> H = G.copy() + + """ + if as_view is True: + return nx.graphviews.generic_graph_view(self) + G = self.__class__() + G.graph.update(self.graph) + G.add_nodes_from((n, d.copy()) for n, d in self._node.items()) + G.add_edges_from( + (u, v, key, datadict.copy()) + for u, nbrs in self._adj.items() + for v, keydict in nbrs.items() + for key, datadict in keydict.items() + ) + return G + + def to_directed(self, as_view=False): + """Returns a directed representation of the graph. + + Returns + ------- + G : MultiDiGraph + A directed graph with the same name, same nodes, and with + each edge (u, v, k, data) replaced by two directed edges + (u, v, k, data) and (v, u, k, data). + + Notes + ----- + This returns a "deepcopy" of the edge, node, and + graph attributes which attempts to completely copy + all of the data and references. + + This is in contrast to the similar D=MultiDiGraph(G) which + returns a shallow copy of the data. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Warning: If you have subclassed MultiGraph to use dict-like objects + in the data structure, those changes do not transfer to the + MultiDiGraph created by this method. + + Examples + -------- + >>> G = nx.MultiGraph() + >>> G.add_edge(0, 1) + 0 + >>> G.add_edge(0, 1) + 1 + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1)] + + If already directed, return a (deep) copy + + >>> G = nx.MultiDiGraph() + >>> G.add_edge(0, 1) + 0 + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1, 0)] + """ + graph_class = self.to_directed_class() + if as_view is True: + return nx.graphviews.generic_graph_view(self, graph_class) + # deepcopy when not a view + G = graph_class() + G.graph.update(deepcopy(self.graph)) + G.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) + G.add_edges_from( + (u, v, key, deepcopy(datadict)) + for u, nbrs in self.adj.items() + for v, keydict in nbrs.items() + for key, datadict in keydict.items() + ) + return G + + def to_undirected(self, as_view=False): + """Returns an undirected copy of the graph. + + Returns + ------- + G : Graph/MultiGraph + A deepcopy of the graph. + + See Also + -------- + copy, add_edge, add_edges_from + + Notes + ----- + This returns a "deepcopy" of the edge, node, and + graph attributes which attempts to completely copy + all of the data and references. + + This is in contrast to the similar `G = nx.MultiGraph(D)` + which returns a shallow copy of the data. + + See the Python copy module for more information on shallow + and deep copies, https://docs.python.org/3/library/copy.html. + + Warning: If you have subclassed MultiGraph to use dict-like + objects in the data structure, those changes do not transfer + to the MultiGraph created by this method. + + Examples + -------- + >>> G = nx.MultiGraph([(0, 1), (0, 1), (1, 2)]) + >>> H = G.to_directed() + >>> list(H.edges) + [(0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 2, 0), (2, 1, 0)] + >>> G2 = H.to_undirected() + >>> list(G2.edges) + [(0, 1, 0), (0, 1, 1), (1, 2, 0)] + """ + graph_class = self.to_undirected_class() + if as_view is True: + return nx.graphviews.generic_graph_view(self, graph_class) + # deepcopy when not a view + G = graph_class() + G.graph.update(deepcopy(self.graph)) + G.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) + G.add_edges_from( + (u, v, key, deepcopy(datadict)) + for u, nbrs in self._adj.items() + for v, keydict in nbrs.items() + for key, datadict in keydict.items() + ) + return G + + def number_of_edges(self, u=None, v=None): + """Returns the number of edges between two nodes. + + Parameters + ---------- + u, v : nodes, optional (Default=all edges) + If u and v are specified, return the number of edges between + u and v. Otherwise return the total number of all edges. + + Returns + ------- + nedges : int + The number of edges in the graph. If nodes `u` and `v` are + specified return the number of edges between those nodes. If + the graph is directed, this only returns the number of edges + from `u` to `v`. + + See Also + -------- + size + + Examples + -------- + For undirected multigraphs, this method counts the total number + of edges in the graph:: + + >>> G = nx.MultiGraph() + >>> G.add_edges_from([(0, 1), (0, 1), (1, 2)]) + [0, 1, 0] + >>> G.number_of_edges() + 3 + + If you specify two nodes, this counts the total number of edges + joining the two nodes:: + + >>> G.number_of_edges(0, 1) + 2 + + For directed multigraphs, this method can count the total number + of directed edges from `u` to `v`:: + + >>> G = nx.MultiDiGraph() + >>> G.add_edges_from([(0, 1), (0, 1), (1, 0)]) + [0, 1, 0] + >>> G.number_of_edges(0, 1) + 2 + >>> G.number_of_edges(1, 0) + 1 + + """ + if u is None: + return self.size() + try: + edgedata = self._adj[u][v] + except KeyError: + return 0 # no such edge + return len(edgedata) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/reportviews.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/reportviews.py new file mode 100644 index 0000000000000000000000000000000000000000..789662de19600ec2a7922db612c525dfb75695ea --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/reportviews.py @@ -0,0 +1,1447 @@ +""" +View Classes provide node, edge and degree "views" of a graph. + +Views for nodes, edges and degree are provided for all base graph classes. +A view means a read-only object that is quick to create, automatically +updated when the graph changes, and provides basic access like `n in V`, +`for n in V`, `V[n]` and sometimes set operations. + +The views are read-only iterable containers that are updated as the +graph is updated. As with dicts, the graph should not be updated +while iterating through the view. Views can be iterated multiple times. + +Edge and Node views also allow data attribute lookup. +The resulting attribute dict is writable as `G.edges[3, 4]['color']='red'` +Degree views allow lookup of degree values for single nodes. +Weighted degree is supported with the `weight` argument. + +NodeView +======== + + `V = G.nodes` (or `V = G.nodes()`) allows `len(V)`, `n in V`, set + operations e.g. "G.nodes & H.nodes", and `dd = G.nodes[n]`, where + `dd` is the node data dict. Iteration is over the nodes by default. + +NodeDataView +============ + + To iterate over (node, data) pairs, use arguments to `G.nodes()` + to create a DataView e.g. `DV = G.nodes(data='color', default='red')`. + The DataView iterates as `for n, color in DV` and allows + `(n, 'red') in DV`. Using `DV = G.nodes(data=True)`, the DataViews + use the full datadict in writeable form also allowing contain testing as + `(n, {'color': 'red'}) in VD`. DataViews allow set operations when + data attributes are hashable. + +DegreeView +========== + + `V = G.degree` allows iteration over (node, degree) pairs as well + as lookup: `deg=V[n]`. There are many flavors of DegreeView + for In/Out/Directed/Multi. For Directed Graphs, `G.degree` + counts both in and out going edges. `G.out_degree` and + `G.in_degree` count only specific directions. + Weighted degree using edge data attributes is provide via + `V = G.degree(weight='attr_name')` where any string with the + attribute name can be used. `weight=None` is the default. + No set operations are implemented for degrees, use NodeView. + + The argument `nbunch` restricts iteration to nodes in nbunch. + The DegreeView can still lookup any node even if nbunch is specified. + +EdgeView +======== + + `V = G.edges` or `V = G.edges()` allows iteration over edges as well as + `e in V`, set operations and edge data lookup `dd = G.edges[2, 3]`. + Iteration is over 2-tuples `(u, v)` for Graph/DiGraph. For multigraphs + edges 3-tuples `(u, v, key)` are the default but 2-tuples can be obtained + via `V = G.edges(keys=False)`. + + Set operations for directed graphs treat the edges as a set of 2-tuples. + For undirected graphs, 2-tuples are not a unique representation of edges. + So long as the set being compared to contains unique representations + of its edges, the set operations will act as expected. If the other + set contains both `(0, 1)` and `(1, 0)` however, the result of set + operations may contain both representations of the same edge. + +EdgeDataView +============ + + Edge data can be reported using an EdgeDataView typically created + by calling an EdgeView: `DV = G.edges(data='weight', default=1)`. + The EdgeDataView allows iteration over edge tuples, membership checking + but no set operations. + + Iteration depends on `data` and `default` and for multigraph `keys` + If `data is False` (the default) then iterate over 2-tuples `(u, v)`. + If `data is True` iterate over 3-tuples `(u, v, datadict)`. + Otherwise iterate over `(u, v, datadict.get(data, default))`. + For Multigraphs, if `keys is True`, replace `u, v` with `u, v, key` + to create 3-tuples and 4-tuples. + + The argument `nbunch` restricts edges to those incident to nodes in nbunch. +""" + +from abc import ABC +from collections.abc import Mapping, Set + +import networkx as nx + +__all__ = [ + "NodeView", + "NodeDataView", + "EdgeView", + "OutEdgeView", + "InEdgeView", + "EdgeDataView", + "OutEdgeDataView", + "InEdgeDataView", + "MultiEdgeView", + "OutMultiEdgeView", + "InMultiEdgeView", + "MultiEdgeDataView", + "OutMultiEdgeDataView", + "InMultiEdgeDataView", + "DegreeView", + "DiDegreeView", + "InDegreeView", + "OutDegreeView", + "MultiDegreeView", + "DiMultiDegreeView", + "InMultiDegreeView", + "OutMultiDegreeView", +] + + +# NodeViews +class NodeView(Mapping, Set): + """A NodeView class to act as G.nodes for a NetworkX Graph + + Set operations act on the nodes without considering data. + Iteration is over nodes. Node data can be looked up like a dict. + Use NodeDataView to iterate over node data or to specify a data + attribute for lookup. NodeDataView is created by calling the NodeView. + + Parameters + ---------- + graph : NetworkX graph-like class + + Examples + -------- + >>> G = nx.path_graph(3) + >>> NV = G.nodes() + >>> 2 in NV + True + >>> for n in NV: + ... print(n) + 0 + 1 + 2 + >>> assert NV & {1, 2, 3} == {1, 2} + + >>> G.add_node(2, color="blue") + >>> NV[2] + {'color': 'blue'} + >>> G.add_node(8, color="red") + >>> NDV = G.nodes(data=True) + >>> (2, NV[2]) in NDV + True + >>> for n, dd in NDV: + ... print((n, dd.get("color", "aqua"))) + (0, 'aqua') + (1, 'aqua') + (2, 'blue') + (8, 'red') + >>> NDV[2] == NV[2] + True + + >>> NVdata = G.nodes(data="color", default="aqua") + >>> (2, NVdata[2]) in NVdata + True + >>> for n, dd in NVdata: + ... print((n, dd)) + (0, 'aqua') + (1, 'aqua') + (2, 'blue') + (8, 'red') + >>> NVdata[2] == NV[2] # NVdata gets 'color', NV gets datadict + False + """ + + __slots__ = ("_nodes",) + + def __getstate__(self): + return {"_nodes": self._nodes} + + def __setstate__(self, state): + self._nodes = state["_nodes"] + + def __init__(self, graph): + self._nodes = graph._node + + # Mapping methods + def __len__(self): + return len(self._nodes) + + def __iter__(self): + return iter(self._nodes) + + def __getitem__(self, n): + if isinstance(n, slice): + raise nx.NetworkXError( + f"{type(self).__name__} does not support slicing, " + f"try list(G.nodes)[{n.start}:{n.stop}:{n.step}]" + ) + return self._nodes[n] + + # Set methods + def __contains__(self, n): + return n in self._nodes + + @classmethod + def _from_iterable(cls, it): + return set(it) + + # DataView method + def __call__(self, data=False, default=None): + if data is False: + return self + return NodeDataView(self._nodes, data, default) + + def data(self, data=True, default=None): + """ + Return a read-only view of node data. + + Parameters + ---------- + data : bool or node data key, default=True + If ``data=True`` (the default), return a `NodeDataView` object that + maps each node to *all* of its attributes. `data` may also be an + arbitrary key, in which case the `NodeDataView` maps each node to + the value for the keyed attribute. In this case, if a node does + not have the `data` attribute, the `default` value is used. + default : object, default=None + The value used when a node does not have a specific attribute. + + Returns + ------- + NodeDataView + The layout of the returned NodeDataView depends on the value of the + `data` parameter. + + Notes + ----- + If ``data=False``, returns a `NodeView` object without data. + + See Also + -------- + NodeDataView + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_nodes_from( + ... [ + ... (0, {"color": "red", "weight": 10}), + ... (1, {"color": "blue"}), + ... (2, {"color": "yellow", "weight": 2}), + ... ] + ... ) + + Accessing node data with ``data=True`` (the default) returns a + NodeDataView mapping each node to all of its attributes: + + >>> G.nodes.data() + NodeDataView({0: {'color': 'red', 'weight': 10}, 1: {'color': 'blue'}, 2: {'color': 'yellow', 'weight': 2}}) + + If `data` represents a key in the node attribute dict, a NodeDataView mapping + the nodes to the value for that specific key is returned: + + >>> G.nodes.data("color") + NodeDataView({0: 'red', 1: 'blue', 2: 'yellow'}, data='color') + + If a specific key is not found in an attribute dict, the value specified + by `default` is returned: + + >>> G.nodes.data("weight", default=-999) + NodeDataView({0: 10, 1: -999, 2: 2}, data='weight') + + Note that there is no check that the `data` key is in any of the + node attribute dictionaries: + + >>> G.nodes.data("height") + NodeDataView({0: None, 1: None, 2: None}, data='height') + """ + if data is False: + return self + return NodeDataView(self._nodes, data, default) + + def __str__(self): + return str(list(self)) + + def __repr__(self): + return f"{self.__class__.__name__}({tuple(self)})" + + +class NodeDataView(Set): + """A DataView class for nodes of a NetworkX Graph + + The main use for this class is to iterate through node-data pairs. + The data can be the entire data-dictionary for each node, or it + can be a specific attribute (with default) for each node. + Set operations are enabled with NodeDataView, but don't work in + cases where the data is not hashable. Use with caution. + Typically, set operations on nodes use NodeView, not NodeDataView. + That is, they use `G.nodes` instead of `G.nodes(data='foo')`. + + Parameters + ========== + graph : NetworkX graph-like class + data : bool or string (default=False) + default : object (default=None) + """ + + __slots__ = ("_nodes", "_data", "_default") + + def __getstate__(self): + return {"_nodes": self._nodes, "_data": self._data, "_default": self._default} + + def __setstate__(self, state): + self._nodes = state["_nodes"] + self._data = state["_data"] + self._default = state["_default"] + + def __init__(self, nodedict, data=False, default=None): + self._nodes = nodedict + self._data = data + self._default = default + + @classmethod + def _from_iterable(cls, it): + try: + return set(it) + except TypeError as err: + if "unhashable" in str(err): + msg = " : Could be b/c data=True or your values are unhashable" + raise TypeError(str(err) + msg) from err + raise + + def __len__(self): + return len(self._nodes) + + def __iter__(self): + data = self._data + if data is False: + return iter(self._nodes) + if data is True: + return iter(self._nodes.items()) + return ( + (n, dd[data] if data in dd else self._default) + for n, dd in self._nodes.items() + ) + + def __contains__(self, n): + try: + node_in = n in self._nodes + except TypeError: + n, d = n + return n in self._nodes and self[n] == d + if node_in is True: + return node_in + try: + n, d = n + except (TypeError, ValueError): + return False + return n in self._nodes and self[n] == d + + def __getitem__(self, n): + if isinstance(n, slice): + raise nx.NetworkXError( + f"{type(self).__name__} does not support slicing, " + f"try list(G.nodes.data())[{n.start}:{n.stop}:{n.step}]" + ) + ddict = self._nodes[n] + data = self._data + if data is False or data is True: + return ddict + return ddict[data] if data in ddict else self._default + + def __str__(self): + return str(list(self)) + + def __repr__(self): + name = self.__class__.__name__ + if self._data is False: + return f"{name}({tuple(self)})" + if self._data is True: + return f"{name}({dict(self)})" + return f"{name}({dict(self)}, data={self._data!r})" + + +# DegreeViews +class DiDegreeView: + """A View class for degree of nodes in a NetworkX Graph + + The functionality is like dict.items() with (node, degree) pairs. + Additional functionality includes read-only lookup of node degree, + and calling with optional features nbunch (for only a subset of nodes) + and weight (use edge weights to compute degree). + + Parameters + ========== + graph : NetworkX graph-like class + nbunch : node, container of nodes, or None meaning all nodes (default=None) + weight : bool or string (default=None) + + Notes + ----- + DegreeView can still lookup any node even if nbunch is specified. + + Examples + -------- + >>> G = nx.path_graph(3) + >>> DV = G.degree() + >>> assert DV[2] == 1 + >>> assert sum(deg for n, deg in DV) == 4 + + >>> DVweight = G.degree(weight="span") + >>> G.add_edge(1, 2, span=34) + >>> DVweight[2] + 34 + >>> DVweight[0] # default edge weight is 1 + 1 + >>> sum(span for n, span in DVweight) # sum weighted degrees + 70 + + >>> DVnbunch = G.degree(nbunch=(1, 2)) + >>> assert len(list(DVnbunch)) == 2 # iteration over nbunch only + """ + + def __init__(self, G, nbunch=None, weight=None): + self._graph = G + self._succ = G._succ if hasattr(G, "_succ") else G._adj + self._pred = G._pred if hasattr(G, "_pred") else G._adj + self._nodes = self._succ if nbunch is None else list(G.nbunch_iter(nbunch)) + self._weight = weight + + def __call__(self, nbunch=None, weight=None): + if nbunch is None: + if weight == self._weight: + return self + return self.__class__(self._graph, None, weight) + try: + if nbunch in self._nodes: + if weight == self._weight: + return self[nbunch] + return self.__class__(self._graph, None, weight)[nbunch] + except TypeError: + pass + return self.__class__(self._graph, nbunch, weight) + + def __getitem__(self, n): + weight = self._weight + succs = self._succ[n] + preds = self._pred[n] + if weight is None: + return len(succs) + len(preds) + return sum(dd.get(weight, 1) for dd in succs.values()) + sum( + dd.get(weight, 1) for dd in preds.values() + ) + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + succs = self._succ[n] + preds = self._pred[n] + yield (n, len(succs) + len(preds)) + else: + for n in self._nodes: + succs = self._succ[n] + preds = self._pred[n] + deg = sum(dd.get(weight, 1) for dd in succs.values()) + sum( + dd.get(weight, 1) for dd in preds.values() + ) + yield (n, deg) + + def __len__(self): + return len(self._nodes) + + def __str__(self): + return str(list(self)) + + def __repr__(self): + return f"{self.__class__.__name__}({dict(self)})" + + +class DegreeView(DiDegreeView): + """A DegreeView class to act as G.degree for a NetworkX Graph + + Typical usage focuses on iteration over `(node, degree)` pairs. + The degree is by default the number of edges incident to the node. + Optional argument `weight` enables weighted degree using the edge + attribute named in the `weight` argument. Reporting and iteration + can also be restricted to a subset of nodes using `nbunch`. + + Additional functionality include node lookup so that `G.degree[n]` + reported the (possibly weighted) degree of node `n`. Calling the + view creates a view with different arguments `nbunch` or `weight`. + + Parameters + ========== + graph : NetworkX graph-like class + nbunch : node, container of nodes, or None meaning all nodes (default=None) + weight : string or None (default=None) + + Notes + ----- + DegreeView can still lookup any node even if nbunch is specified. + + Examples + -------- + >>> G = nx.path_graph(3) + >>> DV = G.degree() + >>> assert DV[2] == 1 + >>> assert G.degree[2] == 1 + >>> assert sum(deg for n, deg in DV) == 4 + + >>> DVweight = G.degree(weight="span") + >>> G.add_edge(1, 2, span=34) + >>> DVweight[2] + 34 + >>> DVweight[0] # default edge weight is 1 + 1 + >>> sum(span for n, span in DVweight) # sum weighted degrees + 70 + + >>> DVnbunch = G.degree(nbunch=(1, 2)) + >>> assert len(list(DVnbunch)) == 2 # iteration over nbunch only + """ + + def __getitem__(self, n): + weight = self._weight + nbrs = self._succ[n] + if weight is None: + return len(nbrs) + (n in nbrs) + return sum(dd.get(weight, 1) for dd in nbrs.values()) + ( + n in nbrs and nbrs[n].get(weight, 1) + ) + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + nbrs = self._succ[n] + yield (n, len(nbrs) + (n in nbrs)) + else: + for n in self._nodes: + nbrs = self._succ[n] + deg = sum(dd.get(weight, 1) for dd in nbrs.values()) + ( + n in nbrs and nbrs[n].get(weight, 1) + ) + yield (n, deg) + + +class OutDegreeView(DiDegreeView): + """A DegreeView class to report out_degree for a DiGraph; See DegreeView""" + + def __getitem__(self, n): + weight = self._weight + nbrs = self._succ[n] + if self._weight is None: + return len(nbrs) + return sum(dd.get(self._weight, 1) for dd in nbrs.values()) + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + succs = self._succ[n] + yield (n, len(succs)) + else: + for n in self._nodes: + succs = self._succ[n] + deg = sum(dd.get(weight, 1) for dd in succs.values()) + yield (n, deg) + + +class InDegreeView(DiDegreeView): + """A DegreeView class to report in_degree for a DiGraph; See DegreeView""" + + def __getitem__(self, n): + weight = self._weight + nbrs = self._pred[n] + if weight is None: + return len(nbrs) + return sum(dd.get(weight, 1) for dd in nbrs.values()) + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + preds = self._pred[n] + yield (n, len(preds)) + else: + for n in self._nodes: + preds = self._pred[n] + deg = sum(dd.get(weight, 1) for dd in preds.values()) + yield (n, deg) + + +class MultiDegreeView(DiDegreeView): + """A DegreeView class for undirected multigraphs; See DegreeView""" + + def __getitem__(self, n): + weight = self._weight + nbrs = self._succ[n] + if weight is None: + return sum(len(keys) for keys in nbrs.values()) + ( + n in nbrs and len(nbrs[n]) + ) + # edge weighted graph - degree is sum of nbr edge weights + deg = sum( + d.get(weight, 1) for key_dict in nbrs.values() for d in key_dict.values() + ) + if n in nbrs: + deg += sum(d.get(weight, 1) for d in nbrs[n].values()) + return deg + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + nbrs = self._succ[n] + deg = sum(len(keys) for keys in nbrs.values()) + ( + n in nbrs and len(nbrs[n]) + ) + yield (n, deg) + else: + for n in self._nodes: + nbrs = self._succ[n] + deg = sum( + d.get(weight, 1) + for key_dict in nbrs.values() + for d in key_dict.values() + ) + if n in nbrs: + deg += sum(d.get(weight, 1) for d in nbrs[n].values()) + yield (n, deg) + + +class DiMultiDegreeView(DiDegreeView): + """A DegreeView class for MultiDiGraph; See DegreeView""" + + def __getitem__(self, n): + weight = self._weight + succs = self._succ[n] + preds = self._pred[n] + if weight is None: + return sum(len(keys) for keys in succs.values()) + sum( + len(keys) for keys in preds.values() + ) + # edge weighted graph - degree is sum of nbr edge weights + deg = sum( + d.get(weight, 1) for key_dict in succs.values() for d in key_dict.values() + ) + sum( + d.get(weight, 1) for key_dict in preds.values() for d in key_dict.values() + ) + return deg + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + succs = self._succ[n] + preds = self._pred[n] + deg = sum(len(keys) for keys in succs.values()) + sum( + len(keys) for keys in preds.values() + ) + yield (n, deg) + else: + for n in self._nodes: + succs = self._succ[n] + preds = self._pred[n] + deg = sum( + d.get(weight, 1) + for key_dict in succs.values() + for d in key_dict.values() + ) + sum( + d.get(weight, 1) + for key_dict in preds.values() + for d in key_dict.values() + ) + yield (n, deg) + + +class InMultiDegreeView(DiDegreeView): + """A DegreeView class for inward degree of MultiDiGraph; See DegreeView""" + + def __getitem__(self, n): + weight = self._weight + nbrs = self._pred[n] + if weight is None: + return sum(len(data) for data in nbrs.values()) + # edge weighted graph - degree is sum of nbr edge weights + return sum( + d.get(weight, 1) for key_dict in nbrs.values() for d in key_dict.values() + ) + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + nbrs = self._pred[n] + deg = sum(len(data) for data in nbrs.values()) + yield (n, deg) + else: + for n in self._nodes: + nbrs = self._pred[n] + deg = sum( + d.get(weight, 1) + for key_dict in nbrs.values() + for d in key_dict.values() + ) + yield (n, deg) + + +class OutMultiDegreeView(DiDegreeView): + """A DegreeView class for outward degree of MultiDiGraph; See DegreeView""" + + def __getitem__(self, n): + weight = self._weight + nbrs = self._succ[n] + if weight is None: + return sum(len(data) for data in nbrs.values()) + # edge weighted graph - degree is sum of nbr edge weights + return sum( + d.get(weight, 1) for key_dict in nbrs.values() for d in key_dict.values() + ) + + def __iter__(self): + weight = self._weight + if weight is None: + for n in self._nodes: + nbrs = self._succ[n] + deg = sum(len(data) for data in nbrs.values()) + yield (n, deg) + else: + for n in self._nodes: + nbrs = self._succ[n] + deg = sum( + d.get(weight, 1) + for key_dict in nbrs.values() + for d in key_dict.values() + ) + yield (n, deg) + + +# A base class for all edge views. Ensures all edge view and edge data view +# objects/classes are captured by `isinstance(obj, EdgeViewABC)` and +# `issubclass(cls, EdgeViewABC)` respectively +class EdgeViewABC(ABC): + pass + + +# EdgeDataViews +class OutEdgeDataView(EdgeViewABC): + """EdgeDataView for outward edges of DiGraph; See EdgeDataView""" + + __slots__ = ( + "_viewer", + "_nbunch", + "_data", + "_default", + "_adjdict", + "_nodes_nbrs", + "_report", + ) + + def __getstate__(self): + return { + "viewer": self._viewer, + "nbunch": self._nbunch, + "data": self._data, + "default": self._default, + } + + def __setstate__(self, state): + self.__init__(**state) + + def __init__(self, viewer, nbunch=None, data=False, *, default=None): + self._viewer = viewer + adjdict = self._adjdict = viewer._adjdict + if nbunch is None: + self._nodes_nbrs = adjdict.items + else: + # dict retains order of nodes but acts like a set + nbunch = dict.fromkeys(viewer._graph.nbunch_iter(nbunch)) + self._nodes_nbrs = lambda: [(n, adjdict[n]) for n in nbunch] + self._nbunch = nbunch + self._data = data + self._default = default + # Set _report based on data and default + if data is True: + self._report = lambda n, nbr, dd: (n, nbr, dd) + elif data is False: + self._report = lambda n, nbr, dd: (n, nbr) + else: # data is attribute name + self._report = ( + lambda n, nbr, dd: (n, nbr, dd[data]) + if data in dd + else (n, nbr, default) + ) + + def __len__(self): + return sum(len(nbrs) for n, nbrs in self._nodes_nbrs()) + + def __iter__(self): + return ( + self._report(n, nbr, dd) + for n, nbrs in self._nodes_nbrs() + for nbr, dd in nbrs.items() + ) + + def __contains__(self, e): + u, v = e[:2] + if self._nbunch is not None and u not in self._nbunch: + return False # this edge doesn't start in nbunch + try: + ddict = self._adjdict[u][v] + except KeyError: + return False + return e == self._report(u, v, ddict) + + def __str__(self): + return str(list(self)) + + def __repr__(self): + return f"{self.__class__.__name__}({list(self)})" + + +class EdgeDataView(OutEdgeDataView): + """A EdgeDataView class for edges of Graph + + This view is primarily used to iterate over the edges reporting + edges as node-tuples with edge data optionally reported. The + argument `nbunch` allows restriction to edges incident to nodes + in that container/singleton. The default (nbunch=None) + reports all edges. The arguments `data` and `default` control + what edge data is reported. The default `data is False` reports + only node-tuples for each edge. If `data is True` the entire edge + data dict is returned. Otherwise `data` is assumed to hold the name + of the edge attribute to report with default `default` if that + edge attribute is not present. + + Parameters + ---------- + nbunch : container of nodes, node or None (default None) + data : False, True or string (default False) + default : default value (default None) + + Examples + -------- + >>> G = nx.path_graph(3) + >>> G.add_edge(1, 2, foo="bar") + >>> list(G.edges(data="foo", default="biz")) + [(0, 1, 'biz'), (1, 2, 'bar')] + >>> assert (0, 1, "biz") in G.edges(data="foo", default="biz") + """ + + __slots__ = () + + def __len__(self): + return sum(1 for e in self) + + def __iter__(self): + seen = {} + for n, nbrs in self._nodes_nbrs(): + for nbr, dd in nbrs.items(): + if nbr not in seen: + yield self._report(n, nbr, dd) + seen[n] = 1 + del seen + + def __contains__(self, e): + u, v = e[:2] + if self._nbunch is not None and u not in self._nbunch and v not in self._nbunch: + return False # this edge doesn't start and it doesn't end in nbunch + try: + ddict = self._adjdict[u][v] + except KeyError: + return False + return e == self._report(u, v, ddict) + + +class InEdgeDataView(OutEdgeDataView): + """An EdgeDataView class for outward edges of DiGraph; See EdgeDataView""" + + __slots__ = () + + def __iter__(self): + return ( + self._report(nbr, n, dd) + for n, nbrs in self._nodes_nbrs() + for nbr, dd in nbrs.items() + ) + + def __contains__(self, e): + u, v = e[:2] + if self._nbunch is not None and v not in self._nbunch: + return False # this edge doesn't end in nbunch + try: + ddict = self._adjdict[v][u] + except KeyError: + return False + return e == self._report(u, v, ddict) + + +class OutMultiEdgeDataView(OutEdgeDataView): + """An EdgeDataView for outward edges of MultiDiGraph; See EdgeDataView""" + + __slots__ = ("keys",) + + def __getstate__(self): + return { + "viewer": self._viewer, + "nbunch": self._nbunch, + "keys": self.keys, + "data": self._data, + "default": self._default, + } + + def __setstate__(self, state): + self.__init__(**state) + + def __init__(self, viewer, nbunch=None, data=False, *, default=None, keys=False): + self._viewer = viewer + adjdict = self._adjdict = viewer._adjdict + self.keys = keys + if nbunch is None: + self._nodes_nbrs = adjdict.items + else: + # dict retains order of nodes but acts like a set + nbunch = dict.fromkeys(viewer._graph.nbunch_iter(nbunch)) + self._nodes_nbrs = lambda: [(n, adjdict[n]) for n in nbunch] + self._nbunch = nbunch + self._data = data + self._default = default + # Set _report based on data and default + if data is True: + if keys is True: + self._report = lambda n, nbr, k, dd: (n, nbr, k, dd) + else: + self._report = lambda n, nbr, k, dd: (n, nbr, dd) + elif data is False: + if keys is True: + self._report = lambda n, nbr, k, dd: (n, nbr, k) + else: + self._report = lambda n, nbr, k, dd: (n, nbr) + else: # data is attribute name + if keys is True: + self._report = ( + lambda n, nbr, k, dd: (n, nbr, k, dd[data]) + if data in dd + else (n, nbr, k, default) + ) + else: + self._report = ( + lambda n, nbr, k, dd: (n, nbr, dd[data]) + if data in dd + else (n, nbr, default) + ) + + def __len__(self): + return sum(1 for e in self) + + def __iter__(self): + return ( + self._report(n, nbr, k, dd) + for n, nbrs in self._nodes_nbrs() + for nbr, kd in nbrs.items() + for k, dd in kd.items() + ) + + def __contains__(self, e): + u, v = e[:2] + if self._nbunch is not None and u not in self._nbunch: + return False # this edge doesn't start in nbunch + try: + kdict = self._adjdict[u][v] + except KeyError: + return False + if self.keys is True: + k = e[2] + try: + dd = kdict[k] + except KeyError: + return False + return e == self._report(u, v, k, dd) + return any(e == self._report(u, v, k, dd) for k, dd in kdict.items()) + + +class MultiEdgeDataView(OutMultiEdgeDataView): + """An EdgeDataView class for edges of MultiGraph; See EdgeDataView""" + + __slots__ = () + + def __iter__(self): + seen = {} + for n, nbrs in self._nodes_nbrs(): + for nbr, kd in nbrs.items(): + if nbr not in seen: + for k, dd in kd.items(): + yield self._report(n, nbr, k, dd) + seen[n] = 1 + del seen + + def __contains__(self, e): + u, v = e[:2] + if self._nbunch is not None and u not in self._nbunch and v not in self._nbunch: + return False # this edge doesn't start and doesn't end in nbunch + try: + kdict = self._adjdict[u][v] + except KeyError: + try: + kdict = self._adjdict[v][u] + except KeyError: + return False + if self.keys is True: + k = e[2] + try: + dd = kdict[k] + except KeyError: + return False + return e == self._report(u, v, k, dd) + return any(e == self._report(u, v, k, dd) for k, dd in kdict.items()) + + +class InMultiEdgeDataView(OutMultiEdgeDataView): + """An EdgeDataView for inward edges of MultiDiGraph; See EdgeDataView""" + + __slots__ = () + + def __iter__(self): + return ( + self._report(nbr, n, k, dd) + for n, nbrs in self._nodes_nbrs() + for nbr, kd in nbrs.items() + for k, dd in kd.items() + ) + + def __contains__(self, e): + u, v = e[:2] + if self._nbunch is not None and v not in self._nbunch: + return False # this edge doesn't end in nbunch + try: + kdict = self._adjdict[v][u] + except KeyError: + return False + if self.keys is True: + k = e[2] + dd = kdict[k] + return e == self._report(u, v, k, dd) + return any(e == self._report(u, v, k, dd) for k, dd in kdict.items()) + + +# EdgeViews have set operations and no data reported +class OutEdgeView(Set, Mapping, EdgeViewABC): + """A EdgeView class for outward edges of a DiGraph""" + + __slots__ = ("_adjdict", "_graph", "_nodes_nbrs") + + def __getstate__(self): + return {"_graph": self._graph, "_adjdict": self._adjdict} + + def __setstate__(self, state): + self._graph = state["_graph"] + self._adjdict = state["_adjdict"] + self._nodes_nbrs = self._adjdict.items + + @classmethod + def _from_iterable(cls, it): + return set(it) + + dataview = OutEdgeDataView + + def __init__(self, G): + self._graph = G + self._adjdict = G._succ if hasattr(G, "succ") else G._adj + self._nodes_nbrs = self._adjdict.items + + # Set methods + def __len__(self): + return sum(len(nbrs) for n, nbrs in self._nodes_nbrs()) + + def __iter__(self): + for n, nbrs in self._nodes_nbrs(): + for nbr in nbrs: + yield (n, nbr) + + def __contains__(self, e): + try: + u, v = e + return v in self._adjdict[u] + except KeyError: + return False + + # Mapping Methods + def __getitem__(self, e): + if isinstance(e, slice): + raise nx.NetworkXError( + f"{type(self).__name__} does not support slicing, " + f"try list(G.edges)[{e.start}:{e.stop}:{e.step}]" + ) + u, v = e + try: + return self._adjdict[u][v] + except KeyError as ex: # Customize msg to indicate exception origin + raise KeyError(f"The edge {e} is not in the graph.") + + # EdgeDataView methods + def __call__(self, nbunch=None, data=False, *, default=None): + if nbunch is None and data is False: + return self + return self.dataview(self, nbunch, data, default=default) + + def data(self, data=True, default=None, nbunch=None): + """ + Return a read-only view of edge data. + + Parameters + ---------- + data : bool or edge attribute key + If ``data=True``, then the data view maps each edge to a dictionary + containing all of its attributes. If `data` is a key in the edge + dictionary, then the data view maps each edge to its value for + the keyed attribute. In this case, if the edge doesn't have the + attribute, the `default` value is returned. + default : object, default=None + The value used when an edge does not have a specific attribute + nbunch : container of nodes, optional (default=None) + Allows restriction to edges only involving certain nodes. All edges + are considered by default. + + Returns + ------- + dataview + Returns an `EdgeDataView` for undirected Graphs, `OutEdgeDataView` + for DiGraphs, `MultiEdgeDataView` for MultiGraphs and + `OutMultiEdgeDataView` for MultiDiGraphs. + + Notes + ----- + If ``data=False``, returns an `EdgeView` without any edge data. + + See Also + -------- + EdgeDataView + OutEdgeDataView + MultiEdgeDataView + OutMultiEdgeDataView + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_edges_from( + ... [ + ... (0, 1, {"dist": 3, "capacity": 20}), + ... (1, 2, {"dist": 4}), + ... (2, 0, {"dist": 5}), + ... ] + ... ) + + Accessing edge data with ``data=True`` (the default) returns an + edge data view object listing each edge with all of its attributes: + + >>> G.edges.data() + EdgeDataView([(0, 1, {'dist': 3, 'capacity': 20}), (0, 2, {'dist': 5}), (1, 2, {'dist': 4})]) + + If `data` represents a key in the edge attribute dict, a dataview listing + each edge with its value for that specific key is returned: + + >>> G.edges.data("dist") + EdgeDataView([(0, 1, 3), (0, 2, 5), (1, 2, 4)]) + + `nbunch` can be used to limit the edges: + + >>> G.edges.data("dist", nbunch=[0]) + EdgeDataView([(0, 1, 3), (0, 2, 5)]) + + If a specific key is not found in an edge attribute dict, the value + specified by `default` is used: + + >>> G.edges.data("capacity") + EdgeDataView([(0, 1, 20), (0, 2, None), (1, 2, None)]) + + Note that there is no check that the `data` key is present in any of + the edge attribute dictionaries: + + >>> G.edges.data("speed") + EdgeDataView([(0, 1, None), (0, 2, None), (1, 2, None)]) + """ + if nbunch is None and data is False: + return self + return self.dataview(self, nbunch, data, default=default) + + # String Methods + def __str__(self): + return str(list(self)) + + def __repr__(self): + return f"{self.__class__.__name__}({list(self)})" + + +class EdgeView(OutEdgeView): + """A EdgeView class for edges of a Graph + + This densely packed View allows iteration over edges, data lookup + like a dict and set operations on edges represented by node-tuples. + In addition, edge data can be controlled by calling this object + possibly creating an EdgeDataView. Typically edges are iterated over + and reported as `(u, v)` node tuples or `(u, v, key)` node/key tuples + for multigraphs. Those edge representations can also be using to + lookup the data dict for any edge. Set operations also are available + where those tuples are the elements of the set. + Calling this object with optional arguments `data`, `default` and `keys` + controls the form of the tuple (see EdgeDataView). Optional argument + `nbunch` allows restriction to edges only involving certain nodes. + + If `data is False` (the default) then iterate over 2-tuples `(u, v)`. + If `data is True` iterate over 3-tuples `(u, v, datadict)`. + Otherwise iterate over `(u, v, datadict.get(data, default))`. + For Multigraphs, if `keys is True`, replace `u, v` with `u, v, key` above. + + Parameters + ========== + graph : NetworkX graph-like class + nbunch : (default= all nodes in graph) only report edges with these nodes + keys : (only for MultiGraph. default=False) report edge key in tuple + data : bool or string (default=False) see above + default : object (default=None) + + Examples + ======== + >>> G = nx.path_graph(4) + >>> EV = G.edges() + >>> (2, 3) in EV + True + >>> for u, v in EV: + ... print((u, v)) + (0, 1) + (1, 2) + (2, 3) + >>> assert EV & {(1, 2), (3, 4)} == {(1, 2)} + + >>> EVdata = G.edges(data="color", default="aqua") + >>> G.add_edge(2, 3, color="blue") + >>> assert (2, 3, "blue") in EVdata + >>> for u, v, c in EVdata: + ... print(f"({u}, {v}) has color: {c}") + (0, 1) has color: aqua + (1, 2) has color: aqua + (2, 3) has color: blue + + >>> EVnbunch = G.edges(nbunch=2) + >>> assert (2, 3) in EVnbunch + >>> assert (0, 1) not in EVnbunch + >>> for u, v in EVnbunch: + ... assert u == 2 or v == 2 + + >>> MG = nx.path_graph(4, create_using=nx.MultiGraph) + >>> EVmulti = MG.edges(keys=True) + >>> (2, 3, 0) in EVmulti + True + >>> (2, 3) in EVmulti # 2-tuples work even when keys is True + True + >>> key = MG.add_edge(2, 3) + >>> for u, v, k in EVmulti: + ... print((u, v, k)) + (0, 1, 0) + (1, 2, 0) + (2, 3, 0) + (2, 3, 1) + """ + + __slots__ = () + + dataview = EdgeDataView + + def __len__(self): + num_nbrs = (len(nbrs) + (n in nbrs) for n, nbrs in self._nodes_nbrs()) + return sum(num_nbrs) // 2 + + def __iter__(self): + seen = {} + for n, nbrs in self._nodes_nbrs(): + for nbr in list(nbrs): + if nbr not in seen: + yield (n, nbr) + seen[n] = 1 + del seen + + def __contains__(self, e): + try: + u, v = e[:2] + return v in self._adjdict[u] or u in self._adjdict[v] + except (KeyError, ValueError): + return False + + +class InEdgeView(OutEdgeView): + """A EdgeView class for inward edges of a DiGraph""" + + __slots__ = () + + def __setstate__(self, state): + self._graph = state["_graph"] + self._adjdict = state["_adjdict"] + self._nodes_nbrs = self._adjdict.items + + dataview = InEdgeDataView + + def __init__(self, G): + self._graph = G + self._adjdict = G._pred if hasattr(G, "pred") else G._adj + self._nodes_nbrs = self._adjdict.items + + def __iter__(self): + for n, nbrs in self._nodes_nbrs(): + for nbr in nbrs: + yield (nbr, n) + + def __contains__(self, e): + try: + u, v = e + return u in self._adjdict[v] + except KeyError: + return False + + def __getitem__(self, e): + if isinstance(e, slice): + raise nx.NetworkXError( + f"{type(self).__name__} does not support slicing, " + f"try list(G.in_edges)[{e.start}:{e.stop}:{e.step}]" + ) + u, v = e + return self._adjdict[v][u] + + +class OutMultiEdgeView(OutEdgeView): + """A EdgeView class for outward edges of a MultiDiGraph""" + + __slots__ = () + + dataview = OutMultiEdgeDataView + + def __len__(self): + return sum( + len(kdict) for n, nbrs in self._nodes_nbrs() for nbr, kdict in nbrs.items() + ) + + def __iter__(self): + for n, nbrs in self._nodes_nbrs(): + for nbr, kdict in nbrs.items(): + for key in kdict: + yield (n, nbr, key) + + def __contains__(self, e): + N = len(e) + if N == 3: + u, v, k = e + elif N == 2: + u, v = e + k = 0 + else: + raise ValueError("MultiEdge must have length 2 or 3") + try: + return k in self._adjdict[u][v] + except KeyError: + return False + + def __getitem__(self, e): + if isinstance(e, slice): + raise nx.NetworkXError( + f"{type(self).__name__} does not support slicing, " + f"try list(G.edges)[{e.start}:{e.stop}:{e.step}]" + ) + u, v, k = e + return self._adjdict[u][v][k] + + def __call__(self, nbunch=None, data=False, *, default=None, keys=False): + if nbunch is None and data is False and keys is True: + return self + return self.dataview(self, nbunch, data, default=default, keys=keys) + + def data(self, data=True, default=None, nbunch=None, keys=False): + if nbunch is None and data is False and keys is True: + return self + return self.dataview(self, nbunch, data, default=default, keys=keys) + + +class MultiEdgeView(OutMultiEdgeView): + """A EdgeView class for edges of a MultiGraph""" + + __slots__ = () + + dataview = MultiEdgeDataView + + def __len__(self): + return sum(1 for e in self) + + def __iter__(self): + seen = {} + for n, nbrs in self._nodes_nbrs(): + for nbr, kd in nbrs.items(): + if nbr not in seen: + for k, dd in kd.items(): + yield (n, nbr, k) + seen[n] = 1 + del seen + + +class InMultiEdgeView(OutMultiEdgeView): + """A EdgeView class for inward edges of a MultiDiGraph""" + + __slots__ = () + + def __setstate__(self, state): + self._graph = state["_graph"] + self._adjdict = state["_adjdict"] + self._nodes_nbrs = self._adjdict.items + + dataview = InMultiEdgeDataView + + def __init__(self, G): + self._graph = G + self._adjdict = G._pred if hasattr(G, "pred") else G._adj + self._nodes_nbrs = self._adjdict.items + + def __iter__(self): + for n, nbrs in self._nodes_nbrs(): + for nbr, kdict in nbrs.items(): + for key in kdict: + yield (nbr, n, key) + + def __contains__(self, e): + N = len(e) + if N == 3: + u, v, k = e + elif N == 2: + u, v = e + k = 0 + else: + raise ValueError("MultiEdge must have length 2 or 3") + try: + return k in self._adjdict[v][u] + except KeyError: + return False + + def __getitem__(self, e): + if isinstance(e, slice): + raise nx.NetworkXError( + f"{type(self).__name__} does not support slicing, " + f"try list(G.in_edges)[{e.start}:{e.stop}:{e.step}]" + ) + u, v, k = e + return self._adjdict[v][u][k] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/dispatch_interface.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/dispatch_interface.py new file mode 100644 index 0000000000000000000000000000000000000000..5cc908d707c8efa30ce1e334313e1f946bdb5348 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/dispatch_interface.py @@ -0,0 +1,185 @@ +# This file contains utilities for testing the dispatching feature + +# A full test of all dispatchable algorithms is performed by +# modifying the pytest invocation and setting an environment variable +# NETWORKX_TEST_BACKEND=nx_loopback pytest +# This is comprehensive, but only tests the `test_override_dispatch` +# function in networkx.classes.backends. + +# To test the `_dispatchable` function directly, several tests scattered throughout +# NetworkX have been augmented to test normal and dispatch mode. +# Searching for `dispatch_interface` should locate the specific tests. + +import networkx as nx +from networkx import DiGraph, Graph, MultiDiGraph, MultiGraph, PlanarEmbedding +from networkx.classes.reportviews import NodeView + + +class LoopbackGraph(Graph): + __networkx_backend__ = "nx_loopback" + + +class LoopbackDiGraph(DiGraph): + __networkx_backend__ = "nx_loopback" + + +class LoopbackMultiGraph(MultiGraph): + __networkx_backend__ = "nx_loopback" + + +class LoopbackMultiDiGraph(MultiDiGraph): + __networkx_backend__ = "nx_loopback" + + +class LoopbackPlanarEmbedding(PlanarEmbedding): + __networkx_backend__ = "nx_loopback" + + +def convert(graph): + if isinstance(graph, PlanarEmbedding): + return LoopbackPlanarEmbedding(graph) + if isinstance(graph, MultiDiGraph): + return LoopbackMultiDiGraph(graph) + if isinstance(graph, MultiGraph): + return LoopbackMultiGraph(graph) + if isinstance(graph, DiGraph): + return LoopbackDiGraph(graph) + if isinstance(graph, Graph): + return LoopbackGraph(graph) + raise TypeError(f"Unsupported type of graph: {type(graph)}") + + +class LoopbackBackendInterface: + def __getattr__(self, item): + try: + return nx.utils.backends._registered_algorithms[item].orig_func + except KeyError: + raise AttributeError(item) from None + + @staticmethod + def convert_from_nx( + graph, + *, + edge_attrs=None, + node_attrs=None, + preserve_edge_attrs=None, + preserve_node_attrs=None, + preserve_graph_attrs=None, + name=None, + graph_name=None, + ): + if name in { + # Raise if input graph changes. See test_dag.py::test_topological_sort6 + "lexicographical_topological_sort", + "topological_generations", + "topological_sort", + # Would be nice to some day avoid these cutoffs of full testing + }: + return graph + if isinstance(graph, NodeView): + # Convert to a Graph with only nodes (no edges) + new_graph = Graph() + new_graph.add_nodes_from(graph.items()) + graph = new_graph + G = LoopbackGraph() + elif not isinstance(graph, Graph): + raise TypeError( + f"Bad type for graph argument {graph_name} in {name}: {type(graph)}" + ) + elif graph.__class__ in {Graph, LoopbackGraph}: + G = LoopbackGraph() + elif graph.__class__ in {DiGraph, LoopbackDiGraph}: + G = LoopbackDiGraph() + elif graph.__class__ in {MultiGraph, LoopbackMultiGraph}: + G = LoopbackMultiGraph() + elif graph.__class__ in {MultiDiGraph, LoopbackMultiDiGraph}: + G = LoopbackMultiDiGraph() + elif graph.__class__ in {PlanarEmbedding, LoopbackPlanarEmbedding}: + G = LoopbackDiGraph() # or LoopbackPlanarEmbedding + else: + # Would be nice to handle these better some day + # nx.algorithms.approximation.kcomponents._AntiGraph + # nx.classes.tests.test_multidigraph.MultiDiGraphSubClass + # nx.classes.tests.test_multigraph.MultiGraphSubClass + G = graph.__class__() + + if preserve_graph_attrs: + G.graph.update(graph.graph) + + # add nodes + G.add_nodes_from(graph) + if preserve_node_attrs: + for n, dd in G._node.items(): + dd.update(graph.nodes[n]) + elif node_attrs: + for n, dd in G._node.items(): + dd.update( + (attr, graph._node[n].get(attr, default)) + for attr, default in node_attrs.items() + if default is not None or attr in graph._node[n] + ) + + # tools to build datadict and keydict + if preserve_edge_attrs: + + def G_new_datadict(old_dd): + return G.edge_attr_dict_factory(old_dd) + elif edge_attrs: + + def G_new_datadict(old_dd): + return G.edge_attr_dict_factory( + (attr, old_dd.get(attr, default)) + for attr, default in edge_attrs.items() + if default is not None or attr in old_dd + ) + else: + + def G_new_datadict(old_dd): + return G.edge_attr_dict_factory() + + if G.is_multigraph(): + + def G_new_inner(keydict): + kd = G.adjlist_inner_dict_factory( + (k, G_new_datadict(dd)) for k, dd in keydict.items() + ) + return kd + else: + G_new_inner = G_new_datadict + + # add edges keeping the same order in _adj and _pred + G_adj = G._adj + if G.is_directed(): + for n, nbrs in graph._adj.items(): + G_adj[n].update((nbr, G_new_inner(dd)) for nbr, dd in nbrs.items()) + # ensure same datadict for pred and adj; and pred order of graph._pred + G_pred = G._pred + for n, nbrs in graph._pred.items(): + G_pred[n].update((nbr, G_adj[nbr][n]) for nbr in nbrs) + else: # undirected + for n, nbrs in graph._adj.items(): + # ensure same datadict for both ways; and adj order of graph._adj + G_adj[n].update( + (nbr, G_adj[nbr][n] if n in G_adj[nbr] else G_new_inner(dd)) + for nbr, dd in nbrs.items() + ) + + return G + + @staticmethod + def convert_to_nx(obj, *, name=None): + return obj + + @staticmethod + def on_start_tests(items): + # Verify that items can be xfailed + for item in items: + assert hasattr(item, "add_marker") + + def can_run(self, name, args, kwargs): + # It is unnecessary to define this function if algorithms are fully supported. + # We include it for illustration purposes. + return hasattr(self, name) + + +backend_interface = LoopbackBackendInterface() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/historical_tests.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/historical_tests.py new file mode 100644 index 0000000000000000000000000000000000000000..9dad24e2328408fd803cce8aa909604226184b31 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/historical_tests.py @@ -0,0 +1,475 @@ +"""Original NetworkX graph tests""" + +import pytest + +import networkx as nx +from networkx import convert_node_labels_to_integers as cnlti +from networkx.utils import edges_equal, nodes_equal + + +class HistoricalTests: + @classmethod + def setup_class(cls): + cls.null = nx.null_graph() + cls.P1 = cnlti(nx.path_graph(1), first_label=1) + cls.P3 = cnlti(nx.path_graph(3), first_label=1) + cls.P10 = cnlti(nx.path_graph(10), first_label=1) + cls.K1 = cnlti(nx.complete_graph(1), first_label=1) + cls.K3 = cnlti(nx.complete_graph(3), first_label=1) + cls.K4 = cnlti(nx.complete_graph(4), first_label=1) + cls.K5 = cnlti(nx.complete_graph(5), first_label=1) + cls.K10 = cnlti(nx.complete_graph(10), first_label=1) + cls.G = nx.Graph + + def test_name(self): + G = self.G(name="test") + assert G.name == "test" + H = self.G() + assert H.name == "" + + # Nodes + + def test_add_remove_node(self): + G = self.G() + G.add_node("A") + assert G.has_node("A") + G.remove_node("A") + assert not G.has_node("A") + + def test_nonhashable_node(self): + # Test if a non-hashable object is in the Graph. A python dict will + # raise a TypeError, but for a Graph class a simple False should be + # returned (see Graph __contains__). If it cannot be a node then it is + # not a node. + G = self.G() + assert not G.has_node(["A"]) + assert not G.has_node({"A": 1}) + + def test_add_nodes_from(self): + G = self.G() + G.add_nodes_from(list("ABCDEFGHIJKL")) + assert G.has_node("L") + G.remove_nodes_from(["H", "I", "J", "K", "L"]) + G.add_nodes_from([1, 2, 3, 4]) + assert sorted(G.nodes(), key=str) == [ + 1, + 2, + 3, + 4, + "A", + "B", + "C", + "D", + "E", + "F", + "G", + ] + # test __iter__ + assert sorted(G, key=str) == [1, 2, 3, 4, "A", "B", "C", "D", "E", "F", "G"] + + def test_contains(self): + G = self.G() + G.add_node("A") + assert "A" in G + assert [] not in G # never raise a Key or TypeError in this test + assert {1: 1} not in G + + def test_add_remove(self): + # Test add_node and remove_node acting for various nbunch + G = self.G() + G.add_node("m") + assert G.has_node("m") + G.add_node("m") # no complaints + pytest.raises(nx.NetworkXError, G.remove_node, "j") + G.remove_node("m") + assert list(G) == [] + + def test_nbunch_is_list(self): + G = self.G() + G.add_nodes_from(list("ABCD")) + G.add_nodes_from(self.P3) # add nbunch of nodes (nbunch=Graph) + assert sorted(G.nodes(), key=str) == [1, 2, 3, "A", "B", "C", "D"] + G.remove_nodes_from(self.P3) # remove nbunch of nodes (nbunch=Graph) + assert sorted(G.nodes(), key=str) == ["A", "B", "C", "D"] + + def test_nbunch_is_set(self): + G = self.G() + nbunch = set("ABCDEFGHIJKL") + G.add_nodes_from(nbunch) + assert G.has_node("L") + + def test_nbunch_dict(self): + # nbunch is a dict with nodes as keys + G = self.G() + nbunch = set("ABCDEFGHIJKL") + G.add_nodes_from(nbunch) + nbunch = {"I": "foo", "J": 2, "K": True, "L": "spam"} + G.remove_nodes_from(nbunch) + assert sorted(G.nodes(), key=str), ["A", "B", "C", "D", "E", "F", "G", "H"] + + def test_nbunch_iterator(self): + G = self.G() + G.add_nodes_from(["A", "B", "C", "D", "E", "F", "G", "H"]) + n_iter = self.P3.nodes() + G.add_nodes_from(n_iter) + assert sorted(G.nodes(), key=str) == [ + 1, + 2, + 3, + "A", + "B", + "C", + "D", + "E", + "F", + "G", + "H", + ] + n_iter = self.P3.nodes() # rebuild same iterator + G.remove_nodes_from(n_iter) # remove nbunch of nodes (nbunch=iterator) + assert sorted(G.nodes(), key=str) == ["A", "B", "C", "D", "E", "F", "G", "H"] + + def test_nbunch_graph(self): + G = self.G() + G.add_nodes_from(["A", "B", "C", "D", "E", "F", "G", "H"]) + nbunch = self.K3 + G.add_nodes_from(nbunch) + assert sorted(G.nodes(), key=str), [ + 1, + 2, + 3, + "A", + "B", + "C", + "D", + "E", + "F", + "G", + "H", + ] + + # Edges + + def test_add_edge(self): + G = self.G() + pytest.raises(TypeError, G.add_edge, "A") + + G.add_edge("A", "B") # testing add_edge() + G.add_edge("A", "B") # should fail silently + assert G.has_edge("A", "B") + assert not G.has_edge("A", "C") + assert G.has_edge(*("A", "B")) + if G.is_directed(): + assert not G.has_edge("B", "A") + else: + # G is undirected, so B->A is an edge + assert G.has_edge("B", "A") + + G.add_edge("A", "C") # test directedness + G.add_edge("C", "A") + G.remove_edge("C", "A") + if G.is_directed(): + assert G.has_edge("A", "C") + else: + assert not G.has_edge("A", "C") + assert not G.has_edge("C", "A") + + def test_self_loop(self): + G = self.G() + G.add_edge("A", "A") # test self loops + assert G.has_edge("A", "A") + G.remove_edge("A", "A") + G.add_edge("X", "X") + assert G.has_node("X") + G.remove_node("X") + G.add_edge("A", "Z") # should add the node silently + assert G.has_node("Z") + + def test_add_edges_from(self): + G = self.G() + G.add_edges_from([("B", "C")]) # test add_edges_from() + assert G.has_edge("B", "C") + if G.is_directed(): + assert not G.has_edge("C", "B") + else: + assert G.has_edge("C", "B") # undirected + + G.add_edges_from([("D", "F"), ("B", "D")]) + assert G.has_edge("D", "F") + assert G.has_edge("B", "D") + + if G.is_directed(): + assert not G.has_edge("D", "B") + else: + assert G.has_edge("D", "B") # undirected + + def test_add_edges_from2(self): + G = self.G() + # after failing silently, should add 2nd edge + G.add_edges_from([tuple("IJ"), list("KK"), tuple("JK")]) + assert G.has_edge(*("I", "J")) + assert G.has_edge(*("K", "K")) + assert G.has_edge(*("J", "K")) + if G.is_directed(): + assert not G.has_edge(*("K", "J")) + else: + assert G.has_edge(*("K", "J")) + + def test_add_edges_from3(self): + G = self.G() + G.add_edges_from(zip(list("ACD"), list("CDE"))) + assert G.has_edge("D", "E") + assert not G.has_edge("E", "C") + + def test_remove_edge(self): + G = self.G() + G.add_nodes_from([1, 2, 3, "A", "B", "C", "D", "E", "F", "G", "H"]) + + G.add_edges_from(zip(list("MNOP"), list("NOPM"))) + assert G.has_edge("O", "P") + assert G.has_edge("P", "M") + G.remove_node("P") # tests remove_node()'s handling of edges. + assert not G.has_edge("P", "M") + pytest.raises(TypeError, G.remove_edge, "M") + + G.add_edge("N", "M") + assert G.has_edge("M", "N") + G.remove_edge("M", "N") + assert not G.has_edge("M", "N") + + # self loop fails silently + G.remove_edges_from([list("HI"), list("DF"), tuple("KK"), tuple("JK")]) + assert not G.has_edge("H", "I") + assert not G.has_edge("J", "K") + G.remove_edges_from([list("IJ"), list("KK"), list("JK")]) + assert not G.has_edge("I", "J") + G.remove_nodes_from(set("ZEFHIMNO")) + G.add_edge("J", "K") + + def test_edges_nbunch(self): + # Test G.edges(nbunch) with various forms of nbunch + G = self.G() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")]) + # node not in nbunch should be quietly ignored + pytest.raises(nx.NetworkXError, G.edges, 6) + assert list(G.edges("Z")) == [] # iterable non-node + # nbunch can be an empty list + assert list(G.edges([])) == [] + if G.is_directed(): + elist = [("A", "B"), ("A", "C"), ("B", "D")] + else: + elist = [("A", "B"), ("A", "C"), ("B", "C"), ("B", "D")] + # nbunch can be a list + assert edges_equal(list(G.edges(["A", "B"])), elist) + # nbunch can be a set + assert edges_equal(G.edges({"A", "B"}), elist) + # nbunch can be a graph + G1 = self.G() + G1.add_nodes_from("AB") + assert edges_equal(G.edges(G1), elist) + # nbunch can be a dict with nodes as keys + ndict = {"A": "thing1", "B": "thing2"} + assert edges_equal(G.edges(ndict), elist) + # nbunch can be a single node + assert edges_equal(list(G.edges("A")), [("A", "B"), ("A", "C")]) + assert nodes_equal(sorted(G), ["A", "B", "C", "D"]) + + # nbunch can be nothing (whole graph) + assert edges_equal( + list(G.edges()), + [("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")], + ) + + def test_degree(self): + G = self.G() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")]) + assert G.degree("A") == 2 + + # degree of single node in iterable container must return dict + assert list(G.degree(["A"])) == [("A", 2)] + assert sorted(d for n, d in G.degree(["A", "B"])) == [2, 3] + assert sorted(d for n, d in G.degree()) == [2, 2, 3, 3] + + def test_degree2(self): + H = self.G() + H.add_edges_from([(1, 24), (1, 2)]) + assert sorted(d for n, d in H.degree([1, 24])) == [1, 2] + + def test_degree_graph(self): + P3 = nx.path_graph(3) + P5 = nx.path_graph(5) + # silently ignore nodes not in P3 + assert dict(d for n, d in P3.degree(["A", "B"])) == {} + # nbunch can be a graph + assert sorted(d for n, d in P5.degree(P3)) == [1, 2, 2] + # nbunch can be a graph that's way too big + assert sorted(d for n, d in P3.degree(P5)) == [1, 1, 2] + assert list(P5.degree([])) == [] + assert dict(P5.degree([])) == {} + + def test_null(self): + null = nx.null_graph() + assert list(null.degree()) == [] + assert dict(null.degree()) == {} + + def test_order_size(self): + G = self.G() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")]) + assert G.order() == 4 + assert G.size() == 5 + assert G.number_of_edges() == 5 + assert G.number_of_edges("A", "B") == 1 + assert G.number_of_edges("A", "D") == 0 + + def test_copy(self): + G = self.G() + H = G.copy() # copy + assert H.adj == G.adj + assert H.name == G.name + assert H is not G + + def test_subgraph(self): + G = self.G() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")]) + SG = G.subgraph(["A", "B", "D"]) + assert nodes_equal(list(SG), ["A", "B", "D"]) + assert edges_equal(list(SG.edges()), [("A", "B"), ("B", "D")]) + + def test_to_directed(self): + G = self.G() + if not G.is_directed(): + G.add_edges_from( + [("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")] + ) + + DG = G.to_directed() + assert DG is not G # directed copy or copy + + assert DG.is_directed() + assert DG.name == G.name + assert DG.adj == G.adj + assert sorted(DG.out_edges(list("AB"))) == [ + ("A", "B"), + ("A", "C"), + ("B", "A"), + ("B", "C"), + ("B", "D"), + ] + DG.remove_edge("A", "B") + assert DG.has_edge("B", "A") # this removes B-A but not A-B + assert not DG.has_edge("A", "B") + + def test_to_undirected(self): + G = self.G() + if G.is_directed(): + G.add_edges_from( + [("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")] + ) + UG = G.to_undirected() # to_undirected + assert UG is not G + assert not UG.is_directed() + assert G.is_directed() + assert UG.name == G.name + assert UG.adj != G.adj + assert sorted(UG.edges(list("AB"))) == [ + ("A", "B"), + ("A", "C"), + ("B", "C"), + ("B", "D"), + ] + assert sorted(UG.edges(["A", "B"])) == [ + ("A", "B"), + ("A", "C"), + ("B", "C"), + ("B", "D"), + ] + UG.remove_edge("A", "B") + assert not UG.has_edge("B", "A") + assert not UG.has_edge("A", "B") + + def test_neighbors(self): + G = self.G() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")]) + G.add_nodes_from("GJK") + assert sorted(G["A"]) == ["B", "C"] + assert sorted(G.neighbors("A")) == ["B", "C"] + assert sorted(G.neighbors("A")) == ["B", "C"] + assert sorted(G.neighbors("G")) == [] + pytest.raises(nx.NetworkXError, G.neighbors, "j") + + def test_iterators(self): + G = self.G() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")]) + G.add_nodes_from("GJK") + assert sorted(G.nodes()) == ["A", "B", "C", "D", "G", "J", "K"] + assert edges_equal( + G.edges(), [("A", "B"), ("A", "C"), ("B", "D"), ("C", "B"), ("C", "D")] + ) + + assert sorted(v for k, v in G.degree()) == [0, 0, 0, 2, 2, 3, 3] + assert sorted(G.degree(), key=str) == [ + ("A", 2), + ("B", 3), + ("C", 3), + ("D", 2), + ("G", 0), + ("J", 0), + ("K", 0), + ] + assert sorted(G.neighbors("A")) == ["B", "C"] + pytest.raises(nx.NetworkXError, G.neighbors, "X") + G.clear() + assert nx.number_of_nodes(G) == 0 + assert nx.number_of_edges(G) == 0 + + def test_null_subgraph(self): + # Subgraph of a null graph is a null graph + nullgraph = nx.null_graph() + G = nx.null_graph() + H = G.subgraph([]) + assert nx.is_isomorphic(H, nullgraph) + + def test_empty_subgraph(self): + # Subgraph of an empty graph is an empty graph. test 1 + nullgraph = nx.null_graph() + E5 = nx.empty_graph(5) + E10 = nx.empty_graph(10) + H = E10.subgraph([]) + assert nx.is_isomorphic(H, nullgraph) + H = E10.subgraph([1, 2, 3, 4, 5]) + assert nx.is_isomorphic(H, E5) + + def test_complete_subgraph(self): + # Subgraph of a complete graph is a complete graph + K1 = nx.complete_graph(1) + K3 = nx.complete_graph(3) + K5 = nx.complete_graph(5) + H = K5.subgraph([1, 2, 3]) + assert nx.is_isomorphic(H, K3) + + def test_subgraph_nbunch(self): + nullgraph = nx.null_graph() + K1 = nx.complete_graph(1) + K3 = nx.complete_graph(3) + K5 = nx.complete_graph(5) + # Test G.subgraph(nbunch), where nbunch is a single node + H = K5.subgraph(1) + assert nx.is_isomorphic(H, K1) + # Test G.subgraph(nbunch), where nbunch is a set + H = K5.subgraph({1}) + assert nx.is_isomorphic(H, K1) + # Test G.subgraph(nbunch), where nbunch is an iterator + H = K5.subgraph(iter(K3)) + assert nx.is_isomorphic(H, K3) + # Test G.subgraph(nbunch), where nbunch is another graph + H = K5.subgraph(K3) + assert nx.is_isomorphic(H, K3) + H = K5.subgraph([9]) + assert nx.is_isomorphic(H, nullgraph) + + def test_node_tuple_issue(self): + H = self.G() + # Test error handling of tuple as a node + pytest.raises(nx.NetworkXError, H.remove_node, (1, 2)) + H.remove_nodes_from([(1, 2)]) # no error + pytest.raises(nx.NetworkXError, H.neighbors, (1, 2)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_coreviews.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_coreviews.py new file mode 100644 index 0000000000000000000000000000000000000000..24de7f2f1115b864682b261daa256eff0deef696 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_coreviews.py @@ -0,0 +1,362 @@ +import pickle + +import pytest + +import networkx as nx + + +class TestAtlasView: + # node->data + def setup_method(self): + self.d = {0: {"color": "blue", "weight": 1.2}, 1: {}, 2: {"color": 1}} + self.av = nx.classes.coreviews.AtlasView(self.d) + + def test_pickle(self): + view = self.av + pview = pickle.loads(pickle.dumps(view, -1)) + assert view == pview + assert view.__slots__ == pview.__slots__ + pview = pickle.loads(pickle.dumps(view)) + assert view == pview + assert view.__slots__ == pview.__slots__ + + def test_len(self): + assert len(self.av) == len(self.d) + + def test_iter(self): + assert list(self.av) == list(self.d) + + def test_getitem(self): + assert self.av[1] is self.d[1] + assert self.av[2]["color"] == 1 + pytest.raises(KeyError, self.av.__getitem__, 3) + + def test_copy(self): + avcopy = self.av.copy() + assert avcopy[0] == self.av[0] + assert avcopy == self.av + assert avcopy[0] is not self.av[0] + assert avcopy is not self.av + avcopy[5] = {} + assert avcopy != self.av + + avcopy[0]["ht"] = 4 + assert avcopy[0] != self.av[0] + self.av[0]["ht"] = 4 + assert avcopy[0] == self.av[0] + del self.av[0]["ht"] + + assert not hasattr(self.av, "__setitem__") + + def test_items(self): + assert sorted(self.av.items()) == sorted(self.d.items()) + + def test_str(self): + out = str(self.d) + assert str(self.av) == out + + def test_repr(self): + out = "AtlasView(" + str(self.d) + ")" + assert repr(self.av) == out + + +class TestAdjacencyView: + # node->nbr->data + def setup_method(self): + dd = {"color": "blue", "weight": 1.2} + self.nd = {0: dd, 1: {}, 2: {"color": 1}} + self.adj = {3: self.nd, 0: {3: dd}, 1: {}, 2: {3: {"color": 1}}} + self.adjview = nx.classes.coreviews.AdjacencyView(self.adj) + + def test_pickle(self): + view = self.adjview + pview = pickle.loads(pickle.dumps(view, -1)) + assert view == pview + assert view.__slots__ == pview.__slots__ + + def test_len(self): + assert len(self.adjview) == len(self.adj) + + def test_iter(self): + assert list(self.adjview) == list(self.adj) + + def test_getitem(self): + assert self.adjview[1] is not self.adj[1] + assert self.adjview[3][0] is self.adjview[0][3] + assert self.adjview[2][3]["color"] == 1 + pytest.raises(KeyError, self.adjview.__getitem__, 4) + + def test_copy(self): + avcopy = self.adjview.copy() + assert avcopy[0] == self.adjview[0] + assert avcopy[0] is not self.adjview[0] + + avcopy[2][3]["ht"] = 4 + assert avcopy[2] != self.adjview[2] + self.adjview[2][3]["ht"] = 4 + assert avcopy[2] == self.adjview[2] + del self.adjview[2][3]["ht"] + + assert not hasattr(self.adjview, "__setitem__") + + def test_items(self): + view_items = sorted((n, dict(d)) for n, d in self.adjview.items()) + assert view_items == sorted(self.adj.items()) + + def test_str(self): + out = str(dict(self.adj)) + assert str(self.adjview) == out + + def test_repr(self): + out = self.adjview.__class__.__name__ + "(" + str(self.adj) + ")" + assert repr(self.adjview) == out + + +class TestMultiAdjacencyView(TestAdjacencyView): + # node->nbr->key->data + def setup_method(self): + dd = {"color": "blue", "weight": 1.2} + self.kd = {0: dd, 1: {}, 2: {"color": 1}} + self.nd = {3: self.kd, 0: {3: dd}, 1: {0: {}}, 2: {3: {"color": 1}}} + self.adj = {3: self.nd, 0: {3: {3: dd}}, 1: {}, 2: {3: {8: {}}}} + self.adjview = nx.classes.coreviews.MultiAdjacencyView(self.adj) + + def test_getitem(self): + assert self.adjview[1] is not self.adj[1] + assert self.adjview[3][0][3] is self.adjview[0][3][3] + assert self.adjview[3][2][3]["color"] == 1 + pytest.raises(KeyError, self.adjview.__getitem__, 4) + + def test_copy(self): + avcopy = self.adjview.copy() + assert avcopy[0] == self.adjview[0] + assert avcopy[0] is not self.adjview[0] + + avcopy[2][3][8]["ht"] = 4 + assert avcopy[2] != self.adjview[2] + self.adjview[2][3][8]["ht"] = 4 + assert avcopy[2] == self.adjview[2] + del self.adjview[2][3][8]["ht"] + + assert not hasattr(self.adjview, "__setitem__") + + +class TestUnionAtlas: + # node->data + def setup_method(self): + self.s = {0: {"color": "blue", "weight": 1.2}, 1: {}, 2: {"color": 1}} + self.p = {3: {"color": "blue", "weight": 1.2}, 4: {}, 2: {"watch": 2}} + self.av = nx.classes.coreviews.UnionAtlas(self.s, self.p) + + def test_pickle(self): + view = self.av + pview = pickle.loads(pickle.dumps(view, -1)) + assert view == pview + assert view.__slots__ == pview.__slots__ + + def test_len(self): + assert len(self.av) == len(self.s.keys() | self.p.keys()) == 5 + + def test_iter(self): + assert set(self.av) == set(self.s) | set(self.p) + + def test_getitem(self): + assert self.av[0] is self.s[0] + assert self.av[4] is self.p[4] + assert self.av[2]["color"] == 1 + pytest.raises(KeyError, self.av[2].__getitem__, "watch") + pytest.raises(KeyError, self.av.__getitem__, 8) + + def test_copy(self): + avcopy = self.av.copy() + assert avcopy[0] == self.av[0] + assert avcopy[0] is not self.av[0] + assert avcopy is not self.av + avcopy[5] = {} + assert avcopy != self.av + + avcopy[0]["ht"] = 4 + assert avcopy[0] != self.av[0] + self.av[0]["ht"] = 4 + assert avcopy[0] == self.av[0] + del self.av[0]["ht"] + + assert not hasattr(self.av, "__setitem__") + + def test_items(self): + expected = dict(self.p.items()) + expected.update(self.s) + assert sorted(self.av.items()) == sorted(expected.items()) + + def test_str(self): + out = str(dict(self.av)) + assert str(self.av) == out + + def test_repr(self): + out = f"{self.av.__class__.__name__}({self.s}, {self.p})" + assert repr(self.av) == out + + +class TestUnionAdjacency: + # node->nbr->data + def setup_method(self): + dd = {"color": "blue", "weight": 1.2} + self.nd = {0: dd, 1: {}, 2: {"color": 1}} + self.s = {3: self.nd, 0: {}, 1: {}, 2: {3: {"color": 1}}} + self.p = {3: {}, 0: {3: dd}, 1: {0: {}}, 2: {1: {"color": 1}}} + self.adjview = nx.classes.coreviews.UnionAdjacency(self.s, self.p) + + def test_pickle(self): + view = self.adjview + pview = pickle.loads(pickle.dumps(view, -1)) + assert view == pview + assert view.__slots__ == pview.__slots__ + + def test_len(self): + assert len(self.adjview) == len(self.s) + + def test_iter(self): + assert sorted(self.adjview) == sorted(self.s) + + def test_getitem(self): + assert self.adjview[1] is not self.s[1] + assert self.adjview[3][0] is self.adjview[0][3] + assert self.adjview[2][3]["color"] == 1 + pytest.raises(KeyError, self.adjview.__getitem__, 4) + + def test_copy(self): + avcopy = self.adjview.copy() + assert avcopy[0] == self.adjview[0] + assert avcopy[0] is not self.adjview[0] + + avcopy[2][3]["ht"] = 4 + assert avcopy[2] != self.adjview[2] + self.adjview[2][3]["ht"] = 4 + assert avcopy[2] == self.adjview[2] + del self.adjview[2][3]["ht"] + + assert not hasattr(self.adjview, "__setitem__") + + def test_str(self): + out = str(dict(self.adjview)) + assert str(self.adjview) == out + + def test_repr(self): + clsname = self.adjview.__class__.__name__ + out = f"{clsname}({self.s}, {self.p})" + assert repr(self.adjview) == out + + +class TestUnionMultiInner(TestUnionAdjacency): + # nbr->key->data + def setup_method(self): + dd = {"color": "blue", "weight": 1.2} + self.kd = {7: {}, "ekey": {}, 9: {"color": 1}} + self.s = {3: self.kd, 0: {7: dd}, 1: {}, 2: {"key": {"color": 1}}} + self.p = {3: {}, 0: {3: dd}, 1: {}, 2: {1: {"span": 2}}} + self.adjview = nx.classes.coreviews.UnionMultiInner(self.s, self.p) + + def test_len(self): + assert len(self.adjview) == len(self.s.keys() | self.p.keys()) == 4 + + def test_getitem(self): + assert self.adjview[1] is not self.s[1] + assert self.adjview[0][7] is self.adjview[0][3] + assert self.adjview[2]["key"]["color"] == 1 + assert self.adjview[2][1]["span"] == 2 + pytest.raises(KeyError, self.adjview.__getitem__, 4) + pytest.raises(KeyError, self.adjview[1].__getitem__, "key") + + def test_copy(self): + avcopy = self.adjview.copy() + assert avcopy[0] == self.adjview[0] + assert avcopy[0] is not self.adjview[0] + + avcopy[2][1]["width"] = 8 + assert avcopy[2] != self.adjview[2] + self.adjview[2][1]["width"] = 8 + assert avcopy[2] == self.adjview[2] + del self.adjview[2][1]["width"] + + assert not hasattr(self.adjview, "__setitem__") + assert hasattr(avcopy, "__setitem__") + + +class TestUnionMultiAdjacency(TestUnionAdjacency): + # node->nbr->key->data + def setup_method(self): + dd = {"color": "blue", "weight": 1.2} + self.kd = {7: {}, 8: {}, 9: {"color": 1}} + self.nd = {3: self.kd, 0: {9: dd}, 1: {8: {}}, 2: {9: {"color": 1}}} + self.s = {3: self.nd, 0: {3: {7: dd}}, 1: {}, 2: {3: {8: {}}}} + self.p = {3: {}, 0: {3: {9: dd}}, 1: {}, 2: {1: {8: {}}}} + self.adjview = nx.classes.coreviews.UnionMultiAdjacency(self.s, self.p) + + def test_getitem(self): + assert self.adjview[1] is not self.s[1] + assert self.adjview[3][0][9] is self.adjview[0][3][9] + assert self.adjview[3][2][9]["color"] == 1 + pytest.raises(KeyError, self.adjview.__getitem__, 4) + + def test_copy(self): + avcopy = self.adjview.copy() + assert avcopy[0] == self.adjview[0] + assert avcopy[0] is not self.adjview[0] + + avcopy[2][3][8]["ht"] = 4 + assert avcopy[2] != self.adjview[2] + self.adjview[2][3][8]["ht"] = 4 + assert avcopy[2] == self.adjview[2] + del self.adjview[2][3][8]["ht"] + + assert not hasattr(self.adjview, "__setitem__") + assert hasattr(avcopy, "__setitem__") + + +class TestFilteredGraphs: + def setup_method(self): + self.Graphs = [nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph] + + def test_hide_show_nodes(self): + SubGraph = nx.subgraph_view + for Graph in self.Graphs: + G = nx.path_graph(4, Graph) + SG = G.subgraph([2, 3]) + RG = SubGraph(G, filter_node=nx.filters.hide_nodes([0, 1])) + assert SG.nodes == RG.nodes + assert SG.edges == RG.edges + SGC = SG.copy() + RGC = RG.copy() + assert SGC.nodes == RGC.nodes + assert SGC.edges == RGC.edges + + def test_str_repr(self): + SubGraph = nx.subgraph_view + for Graph in self.Graphs: + G = nx.path_graph(4, Graph) + SG = G.subgraph([2, 3]) + RG = SubGraph(G, filter_node=nx.filters.hide_nodes([0, 1])) + str(SG.adj) + str(RG.adj) + repr(SG.adj) + repr(RG.adj) + str(SG.adj[2]) + str(RG.adj[2]) + repr(SG.adj[2]) + repr(RG.adj[2]) + + def test_copy(self): + SubGraph = nx.subgraph_view + for Graph in self.Graphs: + G = nx.path_graph(4, Graph) + SG = G.subgraph([2, 3]) + RG = SubGraph(G, filter_node=nx.filters.hide_nodes([0, 1])) + RsG = SubGraph(G, filter_node=nx.filters.show_nodes([2, 3])) + assert G.adj.copy() == G.adj + assert G.adj[2].copy() == G.adj[2] + assert SG.adj.copy() == SG.adj + assert SG.adj[2].copy() == SG.adj[2] + assert RG.adj.copy() == RG.adj + assert RG.adj[2].copy() == RG.adj[2] + assert RsG.adj.copy() == RsG.adj + assert RsG.adj[2].copy() == RsG.adj[2] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_digraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_digraph.py new file mode 100644 index 0000000000000000000000000000000000000000..b9972f9a5f1ab101b9f6f2f9a1584ddafccd2ff3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_digraph.py @@ -0,0 +1,331 @@ +import pytest + +import networkx as nx +from networkx.utils import nodes_equal + +from .test_graph import BaseAttrGraphTester, BaseGraphTester +from .test_graph import TestEdgeSubgraph as _TestGraphEdgeSubgraph +from .test_graph import TestGraph as _TestGraph + + +class BaseDiGraphTester(BaseGraphTester): + def test_has_successor(self): + G = self.K3 + assert G.has_successor(0, 1) + assert not G.has_successor(0, -1) + + def test_successors(self): + G = self.K3 + assert sorted(G.successors(0)) == [1, 2] + with pytest.raises(nx.NetworkXError): + G.successors(-1) + + def test_has_predecessor(self): + G = self.K3 + assert G.has_predecessor(0, 1) + assert not G.has_predecessor(0, -1) + + def test_predecessors(self): + G = self.K3 + assert sorted(G.predecessors(0)) == [1, 2] + with pytest.raises(nx.NetworkXError): + G.predecessors(-1) + + def test_edges(self): + G = self.K3 + assert sorted(G.edges()) == [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.edges(0)) == [(0, 1), (0, 2)] + assert sorted(G.edges([0, 1])) == [(0, 1), (0, 2), (1, 0), (1, 2)] + with pytest.raises(nx.NetworkXError): + G.edges(-1) + + def test_out_edges(self): + G = self.K3 + assert sorted(G.out_edges()) == [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.out_edges(0)) == [(0, 1), (0, 2)] + with pytest.raises(nx.NetworkXError): + G.out_edges(-1) + + def test_out_edges_dir(self): + G = self.P3 + assert sorted(G.out_edges()) == [(0, 1), (1, 2)] + assert sorted(G.out_edges(0)) == [(0, 1)] + assert sorted(G.out_edges(2)) == [] + + def test_out_edges_data(self): + G = nx.DiGraph([(0, 1, {"data": 0}), (1, 0, {})]) + assert sorted(G.out_edges(data=True)) == [(0, 1, {"data": 0}), (1, 0, {})] + assert sorted(G.out_edges(0, data=True)) == [(0, 1, {"data": 0})] + assert sorted(G.out_edges(data="data")) == [(0, 1, 0), (1, 0, None)] + assert sorted(G.out_edges(0, data="data")) == [(0, 1, 0)] + + def test_in_edges_dir(self): + G = self.P3 + assert sorted(G.in_edges()) == [(0, 1), (1, 2)] + assert sorted(G.in_edges(0)) == [] + assert sorted(G.in_edges(2)) == [(1, 2)] + + def test_in_edges_data(self): + G = nx.DiGraph([(0, 1, {"data": 0}), (1, 0, {})]) + assert sorted(G.in_edges(data=True)) == [(0, 1, {"data": 0}), (1, 0, {})] + assert sorted(G.in_edges(1, data=True)) == [(0, 1, {"data": 0})] + assert sorted(G.in_edges(data="data")) == [(0, 1, 0), (1, 0, None)] + assert sorted(G.in_edges(1, data="data")) == [(0, 1, 0)] + + def test_degree(self): + G = self.K3 + assert sorted(G.degree()) == [(0, 4), (1, 4), (2, 4)] + assert dict(G.degree()) == {0: 4, 1: 4, 2: 4} + assert G.degree(0) == 4 + assert list(G.degree(iter([0]))) == [(0, 4)] # run through iterator + + def test_in_degree(self): + G = self.K3 + assert sorted(G.in_degree()) == [(0, 2), (1, 2), (2, 2)] + assert dict(G.in_degree()) == {0: 2, 1: 2, 2: 2} + assert G.in_degree(0) == 2 + assert list(G.in_degree(iter([0]))) == [(0, 2)] # run through iterator + + def test_out_degree(self): + G = self.K3 + assert sorted(G.out_degree()) == [(0, 2), (1, 2), (2, 2)] + assert dict(G.out_degree()) == {0: 2, 1: 2, 2: 2} + assert G.out_degree(0) == 2 + assert list(G.out_degree(iter([0]))) == [(0, 2)] + + def test_size(self): + G = self.K3 + assert G.size() == 6 + assert G.number_of_edges() == 6 + + def test_to_undirected_reciprocal(self): + G = self.Graph() + G.add_edge(1, 2) + assert G.to_undirected().has_edge(1, 2) + assert not G.to_undirected(reciprocal=True).has_edge(1, 2) + G.add_edge(2, 1) + assert G.to_undirected(reciprocal=True).has_edge(1, 2) + + def test_reverse_copy(self): + G = nx.DiGraph([(0, 1), (1, 2)]) + R = G.reverse() + assert sorted(R.edges()) == [(1, 0), (2, 1)] + R.remove_edge(1, 0) + assert sorted(R.edges()) == [(2, 1)] + assert sorted(G.edges()) == [(0, 1), (1, 2)] + + def test_reverse_nocopy(self): + G = nx.DiGraph([(0, 1), (1, 2)]) + R = G.reverse(copy=False) + assert sorted(R.edges()) == [(1, 0), (2, 1)] + with pytest.raises(nx.NetworkXError): + R.remove_edge(1, 0) + + def test_reverse_hashable(self): + class Foo: + pass + + x = Foo() + y = Foo() + G = nx.DiGraph() + G.add_edge(x, y) + assert nodes_equal(G.nodes(), G.reverse().nodes()) + assert [(y, x)] == list(G.reverse().edges()) + + def test_di_cache_reset(self): + G = self.K3.copy() + old_succ = G.succ + assert id(G.succ) == id(old_succ) + old_adj = G.adj + assert id(G.adj) == id(old_adj) + + G._succ = {} + assert id(G.succ) != id(old_succ) + assert id(G.adj) != id(old_adj) + + old_pred = G.pred + assert id(G.pred) == id(old_pred) + G._pred = {} + assert id(G.pred) != id(old_pred) + + def test_di_attributes_cached(self): + G = self.K3.copy() + assert id(G.in_edges) == id(G.in_edges) + assert id(G.out_edges) == id(G.out_edges) + assert id(G.in_degree) == id(G.in_degree) + assert id(G.out_degree) == id(G.out_degree) + assert id(G.succ) == id(G.succ) + assert id(G.pred) == id(G.pred) + + +class BaseAttrDiGraphTester(BaseDiGraphTester, BaseAttrGraphTester): + def test_edges_data(self): + G = self.K3 + all_edges = [ + (0, 1, {}), + (0, 2, {}), + (1, 0, {}), + (1, 2, {}), + (2, 0, {}), + (2, 1, {}), + ] + assert sorted(G.edges(data=True)) == all_edges + assert sorted(G.edges(0, data=True)) == all_edges[:2] + assert sorted(G.edges([0, 1], data=True)) == all_edges[:4] + with pytest.raises(nx.NetworkXError): + G.edges(-1, True) + + def test_in_degree_weighted(self): + G = self.K3.copy() + G.add_edge(0, 1, weight=0.3, other=1.2) + assert sorted(G.in_degree(weight="weight")) == [(0, 2), (1, 1.3), (2, 2)] + assert dict(G.in_degree(weight="weight")) == {0: 2, 1: 1.3, 2: 2} + assert G.in_degree(1, weight="weight") == 1.3 + assert sorted(G.in_degree(weight="other")) == [(0, 2), (1, 2.2), (2, 2)] + assert dict(G.in_degree(weight="other")) == {0: 2, 1: 2.2, 2: 2} + assert G.in_degree(1, weight="other") == 2.2 + assert list(G.in_degree(iter([1]), weight="other")) == [(1, 2.2)] + + def test_out_degree_weighted(self): + G = self.K3.copy() + G.add_edge(0, 1, weight=0.3, other=1.2) + assert sorted(G.out_degree(weight="weight")) == [(0, 1.3), (1, 2), (2, 2)] + assert dict(G.out_degree(weight="weight")) == {0: 1.3, 1: 2, 2: 2} + assert G.out_degree(0, weight="weight") == 1.3 + assert sorted(G.out_degree(weight="other")) == [(0, 2.2), (1, 2), (2, 2)] + assert dict(G.out_degree(weight="other")) == {0: 2.2, 1: 2, 2: 2} + assert G.out_degree(0, weight="other") == 2.2 + assert list(G.out_degree(iter([0]), weight="other")) == [(0, 2.2)] + + +class TestDiGraph(BaseAttrDiGraphTester, _TestGraph): + """Tests specific to dict-of-dict-of-dict digraph data structure""" + + def setup_method(self): + self.Graph = nx.DiGraph + # build dict-of-dict-of-dict K3 + ed1, ed2, ed3, ed4, ed5, ed6 = ({}, {}, {}, {}, {}, {}) + self.k3adj = {0: {1: ed1, 2: ed2}, 1: {0: ed3, 2: ed4}, 2: {0: ed5, 1: ed6}} + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._succ = self.k3adj # K3._adj is synced with K3._succ + self.K3._pred = {0: {1: ed3, 2: ed5}, 1: {0: ed1, 2: ed6}, 2: {0: ed2, 1: ed4}} + self.K3._node = {} + self.K3._node[0] = {} + self.K3._node[1] = {} + self.K3._node[2] = {} + + ed1, ed2 = ({}, {}) + self.P3 = self.Graph() + self.P3._succ = {0: {1: ed1}, 1: {2: ed2}, 2: {}} + self.P3._pred = {0: {}, 1: {0: ed1}, 2: {1: ed2}} + # P3._adj is synced with P3._succ + self.P3._node = {} + self.P3._node[0] = {} + self.P3._node[1] = {} + self.P3._node[2] = {} + + def test_data_input(self): + G = self.Graph({1: [2], 2: [1]}, name="test") + assert G.name == "test" + assert sorted(G.adj.items()) == [(1, {2: {}}), (2, {1: {}})] + assert sorted(G.succ.items()) == [(1, {2: {}}), (2, {1: {}})] + assert sorted(G.pred.items()) == [(1, {2: {}}), (2, {1: {}})] + + def test_add_edge(self): + G = self.Graph() + G.add_edge(0, 1) + assert G.adj == {0: {1: {}}, 1: {}} + assert G.succ == {0: {1: {}}, 1: {}} + assert G.pred == {0: {}, 1: {0: {}}} + G = self.Graph() + G.add_edge(*(0, 1)) + assert G.adj == {0: {1: {}}, 1: {}} + assert G.succ == {0: {1: {}}, 1: {}} + assert G.pred == {0: {}, 1: {0: {}}} + with pytest.raises(ValueError, match="None cannot be a node"): + G.add_edge(None, 3) + + def test_add_edges_from(self): + G = self.Graph() + G.add_edges_from([(0, 1), (0, 2, {"data": 3})], data=2) + assert G.adj == {0: {1: {"data": 2}, 2: {"data": 3}}, 1: {}, 2: {}} + assert G.succ == {0: {1: {"data": 2}, 2: {"data": 3}}, 1: {}, 2: {}} + assert G.pred == {0: {}, 1: {0: {"data": 2}}, 2: {0: {"data": 3}}} + + with pytest.raises(nx.NetworkXError): + G.add_edges_from([(0,)]) # too few in tuple + with pytest.raises(nx.NetworkXError): + G.add_edges_from([(0, 1, 2, 3)]) # too many in tuple + with pytest.raises(TypeError): + G.add_edges_from([0]) # not a tuple + with pytest.raises(ValueError, match="None cannot be a node"): + G.add_edges_from([(None, 3), (3, 2)]) + + def test_remove_edge(self): + G = self.K3.copy() + G.remove_edge(0, 1) + assert G.succ == {0: {2: {}}, 1: {0: {}, 2: {}}, 2: {0: {}, 1: {}}} + assert G.pred == {0: {1: {}, 2: {}}, 1: {2: {}}, 2: {0: {}, 1: {}}} + with pytest.raises(nx.NetworkXError): + G.remove_edge(-1, 0) + + def test_remove_edges_from(self): + G = self.K3.copy() + G.remove_edges_from([(0, 1)]) + assert G.succ == {0: {2: {}}, 1: {0: {}, 2: {}}, 2: {0: {}, 1: {}}} + assert G.pred == {0: {1: {}, 2: {}}, 1: {2: {}}, 2: {0: {}, 1: {}}} + G.remove_edges_from([(0, 0)]) # silent fail + + def test_clear(self): + G = self.K3 + G.graph["name"] = "K3" + G.clear() + assert list(G.nodes) == [] + assert G.succ == {} + assert G.pred == {} + assert G.graph == {} + + def test_clear_edges(self): + G = self.K3 + G.graph["name"] = "K3" + nodes = list(G.nodes) + G.clear_edges() + assert list(G.nodes) == nodes + expected = {0: {}, 1: {}, 2: {}} + assert G.succ == expected + assert G.pred == expected + assert list(G.edges) == [] + assert G.graph["name"] == "K3" + + +class TestEdgeSubgraph(_TestGraphEdgeSubgraph): + """Unit tests for the :meth:`DiGraph.edge_subgraph` method.""" + + def setup_method(self): + # Create a doubly-linked path graph on five nodes. + G = nx.DiGraph(nx.path_graph(5)) + # Add some node, edge, and graph attributes. + for i in range(5): + G.nodes[i]["name"] = f"node{i}" + G.edges[0, 1]["name"] = "edge01" + G.edges[3, 4]["name"] = "edge34" + G.graph["name"] = "graph" + # Get the subgraph induced by the first and last edges. + self.G = G + self.H = G.edge_subgraph([(0, 1), (3, 4)]) + + def test_pred_succ(self): + """Test that nodes are added to predecessors and successors. + + For more information, see GitHub issue #2370. + + """ + G = nx.DiGraph() + G.add_edge(0, 1) + H = G.edge_subgraph([(0, 1)]) + assert list(H.predecessors(0)) == [] + assert list(H.successors(0)) == [1] + assert list(H.predecessors(1)) == [0] + assert list(H.successors(1)) == [] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_digraph_historical.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_digraph_historical.py new file mode 100644 index 0000000000000000000000000000000000000000..4f2b1da90f977962e9610bd64d10e721915a0595 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_digraph_historical.py @@ -0,0 +1,111 @@ +"""Original NetworkX graph tests""" + +import pytest + +import networkx +import networkx as nx + +from .historical_tests import HistoricalTests + + +class TestDiGraphHistorical(HistoricalTests): + @classmethod + def setup_class(cls): + HistoricalTests.setup_class() + cls.G = nx.DiGraph + + def test_in_degree(self): + G = self.G() + G.add_nodes_from("GJK") + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("B", "C"), ("C", "D")]) + + assert sorted(d for n, d in G.in_degree()) == [0, 0, 0, 0, 1, 2, 2] + assert dict(G.in_degree()) == { + "A": 0, + "C": 2, + "B": 1, + "D": 2, + "G": 0, + "K": 0, + "J": 0, + } + + def test_out_degree(self): + G = self.G() + G.add_nodes_from("GJK") + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("B", "C"), ("C", "D")]) + assert sorted(v for k, v in G.in_degree()) == [0, 0, 0, 0, 1, 2, 2] + assert dict(G.out_degree()) == { + "A": 2, + "C": 1, + "B": 2, + "D": 0, + "G": 0, + "K": 0, + "J": 0, + } + + def test_degree_digraph(self): + H = nx.DiGraph() + H.add_edges_from([(1, 24), (1, 2)]) + assert sorted(d for n, d in H.in_degree([1, 24])) == [0, 1] + assert sorted(d for n, d in H.out_degree([1, 24])) == [0, 2] + assert sorted(d for n, d in H.degree([1, 24])) == [1, 2] + + def test_neighbors(self): + G = self.G() + G.add_nodes_from("GJK") + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("B", "C"), ("C", "D")]) + + assert sorted(G.neighbors("C")) == ["D"] + assert sorted(G["C"]) == ["D"] + assert sorted(G.neighbors("A")) == ["B", "C"] + pytest.raises(nx.NetworkXError, G.neighbors, "j") + pytest.raises(nx.NetworkXError, G.neighbors, "j") + + def test_successors(self): + G = self.G() + G.add_nodes_from("GJK") + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("B", "C"), ("C", "D")]) + assert sorted(G.successors("A")) == ["B", "C"] + assert sorted(G.successors("A")) == ["B", "C"] + assert sorted(G.successors("G")) == [] + assert sorted(G.successors("D")) == [] + assert sorted(G.successors("G")) == [] + pytest.raises(nx.NetworkXError, G.successors, "j") + pytest.raises(nx.NetworkXError, G.successors, "j") + + def test_predecessors(self): + G = self.G() + G.add_nodes_from("GJK") + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "D"), ("B", "C"), ("C", "D")]) + assert sorted(G.predecessors("C")) == ["A", "B"] + assert sorted(G.predecessors("C")) == ["A", "B"] + assert sorted(G.predecessors("G")) == [] + assert sorted(G.predecessors("A")) == [] + assert sorted(G.predecessors("G")) == [] + assert sorted(G.predecessors("A")) == [] + assert sorted(G.successors("D")) == [] + + pytest.raises(nx.NetworkXError, G.predecessors, "j") + pytest.raises(nx.NetworkXError, G.predecessors, "j") + + def test_reverse(self): + G = nx.complete_graph(10) + H = G.to_directed() + HR = H.reverse() + assert nx.is_isomorphic(H, HR) + assert sorted(H.edges()) == sorted(HR.edges()) + + def test_reverse2(self): + H = nx.DiGraph() + foo = [H.add_edge(u, u + 1) for u in range(5)] + HR = H.reverse() + for u in range(5): + assert HR.has_edge(u + 1, u) + + def test_reverse3(self): + H = nx.DiGraph() + H.add_nodes_from([1, 2, 3, 4]) + HR = H.reverse() + assert sorted(HR.nodes()) == [1, 2, 3, 4] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_filters.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_filters.py new file mode 100644 index 0000000000000000000000000000000000000000..2da59117cad0d72d5830b53c8d19c6e0ca988d54 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_filters.py @@ -0,0 +1,177 @@ +import pytest + +import networkx as nx + + +class TestFilterFactory: + def test_no_filter(self): + nf = nx.filters.no_filter + assert nf() + assert nf(1) + assert nf(2, 1) + + def test_hide_nodes(self): + f = nx.classes.filters.hide_nodes([1, 2, 3]) + assert not f(1) + assert not f(2) + assert not f(3) + assert f(4) + assert f(0) + assert f("a") + pytest.raises(TypeError, f, 1, 2) + pytest.raises(TypeError, f) + + def test_show_nodes(self): + f = nx.classes.filters.show_nodes([1, 2, 3]) + assert f(1) + assert f(2) + assert f(3) + assert not f(4) + assert not f(0) + assert not f("a") + pytest.raises(TypeError, f, 1, 2) + pytest.raises(TypeError, f) + + def test_hide_edges(self): + factory = nx.classes.filters.hide_edges + f = factory([(1, 2), (3, 4)]) + assert not f(1, 2) + assert not f(3, 4) + assert not f(4, 3) + assert f(2, 3) + assert f(0, -1) + assert f("a", "b") + pytest.raises(TypeError, f, 1, 2, 3) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2, 3)]) + + def test_show_edges(self): + factory = nx.classes.filters.show_edges + f = factory([(1, 2), (3, 4)]) + assert f(1, 2) + assert f(3, 4) + assert f(4, 3) + assert not f(2, 3) + assert not f(0, -1) + assert not f("a", "b") + pytest.raises(TypeError, f, 1, 2, 3) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2, 3)]) + + def test_hide_diedges(self): + factory = nx.classes.filters.hide_diedges + f = factory([(1, 2), (3, 4)]) + assert not f(1, 2) + assert not f(3, 4) + assert f(4, 3) + assert f(2, 3) + assert f(0, -1) + assert f("a", "b") + pytest.raises(TypeError, f, 1, 2, 3) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2, 3)]) + + def test_show_diedges(self): + factory = nx.classes.filters.show_diedges + f = factory([(1, 2), (3, 4)]) + assert f(1, 2) + assert f(3, 4) + assert not f(4, 3) + assert not f(2, 3) + assert not f(0, -1) + assert not f("a", "b") + pytest.raises(TypeError, f, 1, 2, 3) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2, 3)]) + + def test_hide_multiedges(self): + factory = nx.classes.filters.hide_multiedges + f = factory([(1, 2, 0), (3, 4, 1), (1, 2, 1)]) + assert not f(1, 2, 0) + assert not f(1, 2, 1) + assert f(1, 2, 2) + assert f(3, 4, 0) + assert not f(3, 4, 1) + assert not f(4, 3, 1) + assert f(4, 3, 0) + assert f(2, 3, 0) + assert f(0, -1, 0) + assert f("a", "b", 0) + pytest.raises(TypeError, f, 1, 2, 3, 4) + pytest.raises(TypeError, f, 1, 2) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2)]) + pytest.raises(ValueError, factory, [(1, 2, 3, 4)]) + + def test_show_multiedges(self): + factory = nx.classes.filters.show_multiedges + f = factory([(1, 2, 0), (3, 4, 1), (1, 2, 1)]) + assert f(1, 2, 0) + assert f(1, 2, 1) + assert not f(1, 2, 2) + assert not f(3, 4, 0) + assert f(3, 4, 1) + assert f(4, 3, 1) + assert not f(4, 3, 0) + assert not f(2, 3, 0) + assert not f(0, -1, 0) + assert not f("a", "b", 0) + pytest.raises(TypeError, f, 1, 2, 3, 4) + pytest.raises(TypeError, f, 1, 2) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2)]) + pytest.raises(ValueError, factory, [(1, 2, 3, 4)]) + + def test_hide_multidiedges(self): + factory = nx.classes.filters.hide_multidiedges + f = factory([(1, 2, 0), (3, 4, 1), (1, 2, 1)]) + assert not f(1, 2, 0) + assert not f(1, 2, 1) + assert f(1, 2, 2) + assert f(3, 4, 0) + assert not f(3, 4, 1) + assert f(4, 3, 1) + assert f(4, 3, 0) + assert f(2, 3, 0) + assert f(0, -1, 0) + assert f("a", "b", 0) + pytest.raises(TypeError, f, 1, 2, 3, 4) + pytest.raises(TypeError, f, 1, 2) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2)]) + pytest.raises(ValueError, factory, [(1, 2, 3, 4)]) + + def test_show_multidiedges(self): + factory = nx.classes.filters.show_multidiedges + f = factory([(1, 2, 0), (3, 4, 1), (1, 2, 1)]) + assert f(1, 2, 0) + assert f(1, 2, 1) + assert not f(1, 2, 2) + assert not f(3, 4, 0) + assert f(3, 4, 1) + assert not f(4, 3, 1) + assert not f(4, 3, 0) + assert not f(2, 3, 0) + assert not f(0, -1, 0) + assert not f("a", "b", 0) + pytest.raises(TypeError, f, 1, 2, 3, 4) + pytest.raises(TypeError, f, 1, 2) + pytest.raises(TypeError, f, 1) + pytest.raises(TypeError, f) + pytest.raises(TypeError, factory, [1, 2, 3]) + pytest.raises(ValueError, factory, [(1, 2)]) + pytest.raises(ValueError, factory, [(1, 2, 3, 4)]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_function.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_function.py new file mode 100644 index 0000000000000000000000000000000000000000..f86890dd25268472db87fb18448d38ab11ec9946 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_function.py @@ -0,0 +1,1035 @@ +import random + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + + +def test_degree_histogram_empty(): + G = nx.Graph() + assert nx.degree_histogram(G) == [] + + +class TestFunction: + def setup_method(self): + self.G = nx.Graph({0: [1, 2, 3], 1: [1, 2, 0], 4: []}, name="Test") + self.Gdegree = {0: 3, 1: 2, 2: 2, 3: 1, 4: 0} + self.Gnodes = list(range(5)) + self.Gedges = [(0, 1), (0, 2), (0, 3), (1, 0), (1, 1), (1, 2)] + self.DG = nx.DiGraph({0: [1, 2, 3], 1: [1, 2, 0], 4: []}) + self.DGin_degree = {0: 1, 1: 2, 2: 2, 3: 1, 4: 0} + self.DGout_degree = {0: 3, 1: 3, 2: 0, 3: 0, 4: 0} + self.DGnodes = list(range(5)) + self.DGedges = [(0, 1), (0, 2), (0, 3), (1, 0), (1, 1), (1, 2)] + + def test_nodes(self): + assert nodes_equal(self.G.nodes(), list(nx.nodes(self.G))) + assert nodes_equal(self.DG.nodes(), list(nx.nodes(self.DG))) + + def test_edges(self): + assert edges_equal(self.G.edges(), list(nx.edges(self.G))) + assert sorted(self.DG.edges()) == sorted(nx.edges(self.DG)) + assert edges_equal( + self.G.edges(nbunch=[0, 1, 3]), list(nx.edges(self.G, nbunch=[0, 1, 3])) + ) + assert sorted(self.DG.edges(nbunch=[0, 1, 3])) == sorted( + nx.edges(self.DG, nbunch=[0, 1, 3]) + ) + + def test_degree(self): + assert edges_equal(self.G.degree(), list(nx.degree(self.G))) + assert sorted(self.DG.degree()) == sorted(nx.degree(self.DG)) + assert edges_equal( + self.G.degree(nbunch=[0, 1]), list(nx.degree(self.G, nbunch=[0, 1])) + ) + assert sorted(self.DG.degree(nbunch=[0, 1])) == sorted( + nx.degree(self.DG, nbunch=[0, 1]) + ) + assert edges_equal( + self.G.degree(weight="weight"), list(nx.degree(self.G, weight="weight")) + ) + assert sorted(self.DG.degree(weight="weight")) == sorted( + nx.degree(self.DG, weight="weight") + ) + + def test_neighbors(self): + assert list(self.G.neighbors(1)) == list(nx.neighbors(self.G, 1)) + assert list(self.DG.neighbors(1)) == list(nx.neighbors(self.DG, 1)) + + def test_number_of_nodes(self): + assert self.G.number_of_nodes() == nx.number_of_nodes(self.G) + assert self.DG.number_of_nodes() == nx.number_of_nodes(self.DG) + + def test_number_of_edges(self): + assert self.G.number_of_edges() == nx.number_of_edges(self.G) + assert self.DG.number_of_edges() == nx.number_of_edges(self.DG) + + def test_is_directed(self): + assert self.G.is_directed() == nx.is_directed(self.G) + assert self.DG.is_directed() == nx.is_directed(self.DG) + + def test_add_star(self): + G = self.G.copy() + nlist = [12, 13, 14, 15] + nx.add_star(G, nlist) + assert edges_equal(G.edges(nlist), [(12, 13), (12, 14), (12, 15)]) + + G = self.G.copy() + nx.add_star(G, nlist, weight=2.0) + assert edges_equal( + G.edges(nlist, data=True), + [ + (12, 13, {"weight": 2.0}), + (12, 14, {"weight": 2.0}), + (12, 15, {"weight": 2.0}), + ], + ) + + G = self.G.copy() + nlist = [12] + nx.add_star(G, nlist) + assert nodes_equal(G, list(self.G) + nlist) + + G = self.G.copy() + nlist = [] + nx.add_star(G, nlist) + assert nodes_equal(G.nodes, self.Gnodes) + assert edges_equal(G.edges, self.G.edges) + + def test_add_path(self): + G = self.G.copy() + nlist = [12, 13, 14, 15] + nx.add_path(G, nlist) + assert edges_equal(G.edges(nlist), [(12, 13), (13, 14), (14, 15)]) + G = self.G.copy() + nx.add_path(G, nlist, weight=2.0) + assert edges_equal( + G.edges(nlist, data=True), + [ + (12, 13, {"weight": 2.0}), + (13, 14, {"weight": 2.0}), + (14, 15, {"weight": 2.0}), + ], + ) + + G = self.G.copy() + nlist = ["node"] + nx.add_path(G, nlist) + assert edges_equal(G.edges(nlist), []) + assert nodes_equal(G, list(self.G) + ["node"]) + + G = self.G.copy() + nlist = iter(["node"]) + nx.add_path(G, nlist) + assert edges_equal(G.edges(["node"]), []) + assert nodes_equal(G, list(self.G) + ["node"]) + + G = self.G.copy() + nlist = [12] + nx.add_path(G, nlist) + assert edges_equal(G.edges(nlist), []) + assert nodes_equal(G, list(self.G) + [12]) + + G = self.G.copy() + nlist = iter([12]) + nx.add_path(G, nlist) + assert edges_equal(G.edges([12]), []) + assert nodes_equal(G, list(self.G) + [12]) + + G = self.G.copy() + nlist = [] + nx.add_path(G, nlist) + assert edges_equal(G.edges, self.G.edges) + assert nodes_equal(G, list(self.G)) + + G = self.G.copy() + nlist = iter([]) + nx.add_path(G, nlist) + assert edges_equal(G.edges, self.G.edges) + assert nodes_equal(G, list(self.G)) + + def test_add_cycle(self): + G = self.G.copy() + nlist = [12, 13, 14, 15] + oklists = [ + [(12, 13), (12, 15), (13, 14), (14, 15)], + [(12, 13), (13, 14), (14, 15), (15, 12)], + ] + nx.add_cycle(G, nlist) + assert sorted(G.edges(nlist)) in oklists + G = self.G.copy() + oklists = [ + [ + (12, 13, {"weight": 1.0}), + (12, 15, {"weight": 1.0}), + (13, 14, {"weight": 1.0}), + (14, 15, {"weight": 1.0}), + ], + [ + (12, 13, {"weight": 1.0}), + (13, 14, {"weight": 1.0}), + (14, 15, {"weight": 1.0}), + (15, 12, {"weight": 1.0}), + ], + ] + nx.add_cycle(G, nlist, weight=1.0) + assert sorted(G.edges(nlist, data=True)) in oklists + + G = self.G.copy() + nlist = [12] + nx.add_cycle(G, nlist) + assert nodes_equal(G, list(self.G) + nlist) + + G = self.G.copy() + nlist = [] + nx.add_cycle(G, nlist) + assert nodes_equal(G.nodes, self.Gnodes) + assert edges_equal(G.edges, self.G.edges) + + def test_subgraph(self): + assert ( + self.G.subgraph([0, 1, 2, 4]).adj == nx.subgraph(self.G, [0, 1, 2, 4]).adj + ) + assert ( + self.DG.subgraph([0, 1, 2, 4]).adj == nx.subgraph(self.DG, [0, 1, 2, 4]).adj + ) + assert ( + self.G.subgraph([0, 1, 2, 4]).adj + == nx.induced_subgraph(self.G, [0, 1, 2, 4]).adj + ) + assert ( + self.DG.subgraph([0, 1, 2, 4]).adj + == nx.induced_subgraph(self.DG, [0, 1, 2, 4]).adj + ) + # subgraph-subgraph chain is allowed in function interface + H = nx.induced_subgraph(self.G.subgraph([0, 1, 2, 4]), [0, 1, 4]) + assert H._graph is not self.G + assert H.adj == self.G.subgraph([0, 1, 4]).adj + + def test_edge_subgraph(self): + assert ( + self.G.edge_subgraph([(1, 2), (0, 3)]).adj + == nx.edge_subgraph(self.G, [(1, 2), (0, 3)]).adj + ) + assert ( + self.DG.edge_subgraph([(1, 2), (0, 3)]).adj + == nx.edge_subgraph(self.DG, [(1, 2), (0, 3)]).adj + ) + + def test_create_empty_copy(self): + G = nx.create_empty_copy(self.G, with_data=False) + assert nodes_equal(G, list(self.G)) + assert G.graph == {} + assert G._node == {}.fromkeys(self.G.nodes(), {}) + assert G._adj == {}.fromkeys(self.G.nodes(), {}) + G = nx.create_empty_copy(self.G) + assert nodes_equal(G, list(self.G)) + assert G.graph == self.G.graph + assert G._node == self.G._node + assert G._adj == {}.fromkeys(self.G.nodes(), {}) + + def test_degree_histogram(self): + assert nx.degree_histogram(self.G) == [1, 1, 1, 1, 1] + + def test_density(self): + assert nx.density(self.G) == 0.5 + assert nx.density(self.DG) == 0.3 + G = nx.Graph() + G.add_node(1) + assert nx.density(G) == 0.0 + + def test_density_selfloop(self): + G = nx.Graph() + G.add_edge(1, 1) + assert nx.density(G) == 0.0 + G.add_edge(1, 2) + assert nx.density(G) == 2.0 + + def test_freeze(self): + G = nx.freeze(self.G) + assert G.frozen + pytest.raises(nx.NetworkXError, G.add_node, 1) + pytest.raises(nx.NetworkXError, G.add_nodes_from, [1]) + pytest.raises(nx.NetworkXError, G.remove_node, 1) + pytest.raises(nx.NetworkXError, G.remove_nodes_from, [1]) + pytest.raises(nx.NetworkXError, G.add_edge, 1, 2) + pytest.raises(nx.NetworkXError, G.add_edges_from, [(1, 2)]) + pytest.raises(nx.NetworkXError, G.remove_edge, 1, 2) + pytest.raises(nx.NetworkXError, G.remove_edges_from, [(1, 2)]) + pytest.raises(nx.NetworkXError, G.clear_edges) + pytest.raises(nx.NetworkXError, G.clear) + + def test_is_frozen(self): + assert not nx.is_frozen(self.G) + G = nx.freeze(self.G) + assert G.frozen == nx.is_frozen(self.G) + assert G.frozen + + def test_node_attributes_are_still_mutable_on_frozen_graph(self): + G = nx.freeze(nx.path_graph(3)) + node = G.nodes[0] + node["node_attribute"] = True + assert node["node_attribute"] == True + + def test_edge_attributes_are_still_mutable_on_frozen_graph(self): + G = nx.freeze(nx.path_graph(3)) + edge = G.edges[(0, 1)] + edge["edge_attribute"] = True + assert edge["edge_attribute"] == True + + def test_neighbors_complete_graph(self): + graph = nx.complete_graph(100) + pop = random.sample(list(graph), 1) + nbors = list(nx.neighbors(graph, pop[0])) + # should be all the other vertices in the graph + assert len(nbors) == len(graph) - 1 + + graph = nx.path_graph(100) + node = random.sample(list(graph), 1)[0] + nbors = list(nx.neighbors(graph, node)) + # should be all the other vertices in the graph + if node != 0 and node != 99: + assert len(nbors) == 2 + else: + assert len(nbors) == 1 + + # create a star graph with 99 outer nodes + graph = nx.star_graph(99) + nbors = list(nx.neighbors(graph, 0)) + assert len(nbors) == 99 + + def test_non_neighbors(self): + graph = nx.complete_graph(100) + pop = random.sample(list(graph), 1) + nbors = nx.non_neighbors(graph, pop[0]) + # should be all the other vertices in the graph + assert len(nbors) == 0 + + graph = nx.path_graph(100) + node = random.sample(list(graph), 1)[0] + nbors = nx.non_neighbors(graph, node) + # should be all the other vertices in the graph + if node != 0 and node != 99: + assert len(nbors) == 97 + else: + assert len(nbors) == 98 + + # create a star graph with 99 outer nodes + graph = nx.star_graph(99) + nbors = nx.non_neighbors(graph, 0) + assert len(nbors) == 0 + + # disconnected graph + graph = nx.Graph() + graph.add_nodes_from(range(10)) + nbors = nx.non_neighbors(graph, 0) + assert len(nbors) == 9 + + def test_non_edges(self): + # All possible edges exist + graph = nx.complete_graph(5) + nedges = list(nx.non_edges(graph)) + assert len(nedges) == 0 + + graph = nx.path_graph(4) + expected = [(0, 2), (0, 3), (1, 3)] + nedges = list(nx.non_edges(graph)) + for u, v in expected: + assert (u, v) in nedges or (v, u) in nedges + + graph = nx.star_graph(4) + expected = [(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + nedges = list(nx.non_edges(graph)) + for u, v in expected: + assert (u, v) in nedges or (v, u) in nedges + + # Directed graphs + graph = nx.DiGraph() + graph.add_edges_from([(0, 2), (2, 0), (2, 1)]) + expected = [(0, 1), (1, 0), (1, 2)] + nedges = list(nx.non_edges(graph)) + for e in expected: + assert e in nedges + + def test_is_weighted(self): + G = nx.Graph() + assert not nx.is_weighted(G) + + G = nx.path_graph(4) + assert not nx.is_weighted(G) + assert not nx.is_weighted(G, (2, 3)) + + G.add_node(4) + G.add_edge(3, 4, weight=4) + assert not nx.is_weighted(G) + assert nx.is_weighted(G, (3, 4)) + + G = nx.DiGraph() + G.add_weighted_edges_from( + [ + ("0", "3", 3), + ("0", "1", -5), + ("1", "0", -5), + ("0", "2", 2), + ("1", "2", 4), + ("2", "3", 1), + ] + ) + assert nx.is_weighted(G) + assert nx.is_weighted(G, ("1", "0")) + + G = G.to_undirected() + assert nx.is_weighted(G) + assert nx.is_weighted(G, ("1", "0")) + + pytest.raises(nx.NetworkXError, nx.is_weighted, G, (1, 2)) + + def test_is_negatively_weighted(self): + G = nx.Graph() + assert not nx.is_negatively_weighted(G) + + G.add_node(1) + G.add_nodes_from([2, 3, 4, 5]) + assert not nx.is_negatively_weighted(G) + + G.add_edge(1, 2, weight=4) + assert not nx.is_negatively_weighted(G, (1, 2)) + + G.add_edges_from([(1, 3), (2, 4), (2, 6)]) + G[1][3]["color"] = "blue" + assert not nx.is_negatively_weighted(G) + assert not nx.is_negatively_weighted(G, (1, 3)) + + G[2][4]["weight"] = -2 + assert nx.is_negatively_weighted(G, (2, 4)) + assert nx.is_negatively_weighted(G) + + G = nx.DiGraph() + G.add_weighted_edges_from( + [ + ("0", "3", 3), + ("0", "1", -5), + ("1", "0", -2), + ("0", "2", 2), + ("1", "2", -3), + ("2", "3", 1), + ] + ) + assert nx.is_negatively_weighted(G) + assert not nx.is_negatively_weighted(G, ("0", "3")) + assert nx.is_negatively_weighted(G, ("1", "0")) + + pytest.raises(nx.NetworkXError, nx.is_negatively_weighted, G, (1, 4)) + + +class TestCommonNeighbors: + @classmethod + def setup_class(cls): + cls.func = staticmethod(nx.common_neighbors) + + def test_func(G, u, v, expected): + result = sorted(cls.func(G, u, v)) + assert result == expected + + cls.test = staticmethod(test_func) + + def test_K5(self): + G = nx.complete_graph(5) + self.test(G, 0, 1, [2, 3, 4]) + + def test_P3(self): + G = nx.path_graph(3) + self.test(G, 0, 2, [1]) + + def test_S4(self): + G = nx.star_graph(4) + self.test(G, 1, 2, [0]) + + def test_digraph(self): + with pytest.raises(nx.NetworkXNotImplemented): + G = nx.DiGraph() + G.add_edges_from([(0, 1), (1, 2)]) + self.func(G, 0, 2) + + def test_nonexistent_nodes(self): + G = nx.complete_graph(5) + pytest.raises(nx.NetworkXError, nx.common_neighbors, G, 5, 4) + pytest.raises(nx.NetworkXError, nx.common_neighbors, G, 4, 5) + pytest.raises(nx.NetworkXError, nx.common_neighbors, G, 5, 6) + + def test_custom1(self): + """Case of no common neighbors.""" + G = nx.Graph() + G.add_nodes_from([0, 1]) + self.test(G, 0, 1, []) + + def test_custom2(self): + """Case of equal nodes.""" + G = nx.complete_graph(4) + self.test(G, 0, 0, [1, 2, 3]) + + +@pytest.mark.parametrize( + "graph_type", (nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph) +) +def test_set_node_attributes(graph_type): + # Test single value + G = nx.path_graph(3, create_using=graph_type) + vals = 100 + attr = "hello" + nx.set_node_attributes(G, vals, attr) + assert G.nodes[0][attr] == vals + assert G.nodes[1][attr] == vals + assert G.nodes[2][attr] == vals + + # Test dictionary + G = nx.path_graph(3, create_using=graph_type) + vals = dict(zip(sorted(G.nodes()), range(len(G)))) + attr = "hi" + nx.set_node_attributes(G, vals, attr) + assert G.nodes[0][attr] == 0 + assert G.nodes[1][attr] == 1 + assert G.nodes[2][attr] == 2 + + # Test dictionary of dictionaries + G = nx.path_graph(3, create_using=graph_type) + d = {"hi": 0, "hello": 200} + vals = dict.fromkeys(G.nodes(), d) + vals.pop(0) + nx.set_node_attributes(G, vals) + assert G.nodes[0] == {} + assert G.nodes[1]["hi"] == 0 + assert G.nodes[2]["hello"] == 200 + + +@pytest.mark.parametrize( + ("values", "name"), + ( + ({0: "red", 1: "blue"}, "color"), # values dictionary + ({0: {"color": "red"}, 1: {"color": "blue"}}, None), # dict-of-dict + ), +) +def test_set_node_attributes_ignores_extra_nodes(values, name): + """ + When `values` is a dict or dict-of-dict keyed by nodes, ensure that keys + that correspond to nodes not in G are ignored. + """ + G = nx.Graph() + G.add_node(0) + nx.set_node_attributes(G, values, name) + assert G.nodes[0]["color"] == "red" + assert 1 not in G.nodes + + +@pytest.mark.parametrize("graph_type", (nx.Graph, nx.DiGraph)) +def test_set_edge_attributes(graph_type): + # Test single value + G = nx.path_graph(3, create_using=graph_type) + attr = "hello" + vals = 3 + nx.set_edge_attributes(G, vals, attr) + assert G[0][1][attr] == vals + assert G[1][2][attr] == vals + + # Test multiple values + G = nx.path_graph(3, create_using=graph_type) + attr = "hi" + edges = [(0, 1), (1, 2)] + vals = dict(zip(edges, range(len(edges)))) + nx.set_edge_attributes(G, vals, attr) + assert G[0][1][attr] == 0 + assert G[1][2][attr] == 1 + + # Test dictionary of dictionaries + G = nx.path_graph(3, create_using=graph_type) + d = {"hi": 0, "hello": 200} + edges = [(0, 1)] + vals = dict.fromkeys(edges, d) + nx.set_edge_attributes(G, vals) + assert G[0][1]["hi"] == 0 + assert G[0][1]["hello"] == 200 + assert G[1][2] == {} + + +@pytest.mark.parametrize( + ("values", "name"), + ( + ({(0, 1): 1.0, (0, 2): 2.0}, "weight"), # values dict + ({(0, 1): {"weight": 1.0}, (0, 2): {"weight": 2.0}}, None), # values dod + ), +) +def test_set_edge_attributes_ignores_extra_edges(values, name): + """If `values` is a dict or dict-of-dicts containing edges that are not in + G, data associate with these edges should be ignored. + """ + G = nx.Graph([(0, 1)]) + nx.set_edge_attributes(G, values, name) + assert G[0][1]["weight"] == 1.0 + assert (0, 2) not in G.edges + + +@pytest.mark.parametrize("graph_type", (nx.MultiGraph, nx.MultiDiGraph)) +def test_set_edge_attributes_multi(graph_type): + # Test single value + G = nx.path_graph(3, create_using=graph_type) + attr = "hello" + vals = 3 + nx.set_edge_attributes(G, vals, attr) + assert G[0][1][0][attr] == vals + assert G[1][2][0][attr] == vals + + # Test multiple values + G = nx.path_graph(3, create_using=graph_type) + attr = "hi" + edges = [(0, 1, 0), (1, 2, 0)] + vals = dict(zip(edges, range(len(edges)))) + nx.set_edge_attributes(G, vals, attr) + assert G[0][1][0][attr] == 0 + assert G[1][2][0][attr] == 1 + + # Test dictionary of dictionaries + G = nx.path_graph(3, create_using=graph_type) + d = {"hi": 0, "hello": 200} + edges = [(0, 1, 0)] + vals = dict.fromkeys(edges, d) + nx.set_edge_attributes(G, vals) + assert G[0][1][0]["hi"] == 0 + assert G[0][1][0]["hello"] == 200 + assert G[1][2][0] == {} + + +@pytest.mark.parametrize( + ("values", "name"), + ( + ({(0, 1, 0): 1.0, (0, 2, 0): 2.0}, "weight"), # values dict + ({(0, 1, 0): {"weight": 1.0}, (0, 2, 0): {"weight": 2.0}}, None), # values dod + ), +) +def test_set_edge_attributes_multi_ignores_extra_edges(values, name): + """If `values` is a dict or dict-of-dicts containing edges that are not in + G, data associate with these edges should be ignored. + """ + G = nx.MultiGraph([(0, 1, 0), (0, 1, 1)]) + nx.set_edge_attributes(G, values, name) + assert G[0][1][0]["weight"] == 1.0 + assert G[0][1][1] == {} + assert (0, 2) not in G.edges() + + +def test_get_node_attributes(): + graphs = [nx.Graph(), nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph()] + for G in graphs: + G = nx.path_graph(3, create_using=G) + attr = "hello" + vals = 100 + nx.set_node_attributes(G, vals, attr) + attrs = nx.get_node_attributes(G, attr) + assert attrs[0] == vals + assert attrs[1] == vals + assert attrs[2] == vals + default_val = 1 + G.add_node(4) + attrs = nx.get_node_attributes(G, attr, default=default_val) + assert attrs[4] == default_val + + +def test_get_edge_attributes(): + graphs = [nx.Graph(), nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph()] + for G in graphs: + G = nx.path_graph(3, create_using=G) + attr = "hello" + vals = 100 + nx.set_edge_attributes(G, vals, attr) + attrs = nx.get_edge_attributes(G, attr) + assert len(attrs) == 2 + + for edge in G.edges: + assert attrs[edge] == vals + + default_val = vals + G.add_edge(4, 5) + deafult_attrs = nx.get_edge_attributes(G, attr, default=default_val) + assert len(deafult_attrs) == 3 + + for edge in G.edges: + assert deafult_attrs[edge] == vals + + +@pytest.mark.parametrize( + "graph_type", (nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph) +) +def test_remove_node_attributes(graph_type): + # Test removing single attribute + G = nx.path_graph(3, create_using=graph_type) + vals = 100 + attr = "hello" + nx.set_node_attributes(G, vals, attr) + nx.remove_node_attributes(G, attr) + assert attr not in G.nodes[0] + assert attr not in G.nodes[1] + assert attr not in G.nodes[2] + + # Test removing single attribute when multiple present + G = nx.path_graph(3, create_using=graph_type) + other_vals = 200 + other_attr = "other" + nx.set_node_attributes(G, vals, attr) + nx.set_node_attributes(G, other_vals, other_attr) + nx.remove_node_attributes(G, attr) + assert attr not in G.nodes[0] + assert G.nodes[0][other_attr] == other_vals + assert attr not in G.nodes[1] + assert G.nodes[1][other_attr] == other_vals + assert attr not in G.nodes[2] + assert G.nodes[2][other_attr] == other_vals + + # Test removing multiple attributes + G = nx.path_graph(3, create_using=graph_type) + nx.set_node_attributes(G, vals, attr) + nx.set_node_attributes(G, other_vals, other_attr) + nx.remove_node_attributes(G, attr, other_attr) + assert attr not in G.nodes[0] and other_attr not in G.nodes[0] + assert attr not in G.nodes[1] and other_attr not in G.nodes[1] + assert attr not in G.nodes[2] and other_attr not in G.nodes[2] + + # Test removing multiple (but not all) attributes + G = nx.path_graph(3, create_using=graph_type) + third_vals = 300 + third_attr = "three" + nx.set_node_attributes( + G, + { + n: {attr: vals, other_attr: other_vals, third_attr: third_vals} + for n in G.nodes() + }, + ) + nx.remove_node_attributes(G, other_attr, third_attr) + assert other_attr not in G.nodes[0] and third_attr not in G.nodes[0] + assert other_attr not in G.nodes[1] and third_attr not in G.nodes[1] + assert other_attr not in G.nodes[2] and third_attr not in G.nodes[2] + assert G.nodes[0][attr] == vals + assert G.nodes[1][attr] == vals + assert G.nodes[2][attr] == vals + + # Test incomplete node attributes + G = nx.path_graph(3, create_using=graph_type) + nx.set_node_attributes( + G, + { + 1: {attr: vals, other_attr: other_vals}, + 2: {attr: vals, other_attr: other_vals}, + }, + ) + nx.remove_node_attributes(G, attr) + assert attr not in G.nodes[0] + assert attr not in G.nodes[1] + assert attr not in G.nodes[2] + assert G.nodes[1][other_attr] == other_vals + assert G.nodes[2][other_attr] == other_vals + + # Test removing on a subset of nodes + G = nx.path_graph(3, create_using=graph_type) + nx.set_node_attributes( + G, + { + n: {attr: vals, other_attr: other_vals, third_attr: third_vals} + for n in G.nodes() + }, + ) + nx.remove_node_attributes(G, attr, other_attr, nbunch=[0, 1]) + assert attr not in G.nodes[0] and other_attr not in G.nodes[0] + assert attr not in G.nodes[1] and other_attr not in G.nodes[1] + assert attr in G.nodes[2] and other_attr in G.nodes[2] + assert third_attr in G.nodes[0] and G.nodes[0][third_attr] == third_vals + assert third_attr in G.nodes[1] and G.nodes[1][third_attr] == third_vals + + +@pytest.mark.parametrize("graph_type", (nx.Graph, nx.DiGraph)) +def test_remove_edge_attributes(graph_type): + # Test removing single attribute + G = nx.path_graph(3, create_using=graph_type) + attr = "hello" + vals = 100 + nx.set_edge_attributes(G, vals, attr) + nx.remove_edge_attributes(G, attr) + assert len(nx.get_edge_attributes(G, attr)) == 0 + + # Test removing only some attributes + G = nx.path_graph(3, create_using=graph_type) + other_attr = "other" + other_vals = 200 + nx.set_edge_attributes(G, vals, attr) + nx.set_edge_attributes(G, other_vals, other_attr) + nx.remove_edge_attributes(G, attr) + + assert attr not in G[0][1] + assert attr not in G[1][2] + assert G[0][1][other_attr] == 200 + assert G[1][2][other_attr] == 200 + + # Test removing multiple attributes + G = nx.path_graph(3, create_using=graph_type) + nx.set_edge_attributes(G, vals, attr) + nx.set_edge_attributes(G, other_vals, other_attr) + nx.remove_edge_attributes(G, attr, other_attr) + assert attr not in G[0][1] and other_attr not in G[0][1] + assert attr not in G[1][2] and other_attr not in G[1][2] + + # Test removing multiple (not all) attributes + G = nx.path_graph(3, create_using=graph_type) + third_attr = "third" + third_vals = 300 + nx.set_edge_attributes( + G, + { + (u, v): {attr: vals, other_attr: other_vals, third_attr: third_vals} + for u, v in G.edges() + }, + ) + nx.remove_edge_attributes(G, other_attr, third_attr) + assert other_attr not in G[0][1] and third_attr not in G[0][1] + assert other_attr not in G[1][2] and third_attr not in G[1][2] + assert G[0][1][attr] == vals + assert G[1][2][attr] == vals + + # Test removing incomplete edge attributes + G = nx.path_graph(3, create_using=graph_type) + nx.set_edge_attributes(G, {(0, 1): {attr: vals, other_attr: other_vals}}) + nx.remove_edge_attributes(G, other_attr) + assert other_attr not in G[0][1] and G[0][1][attr] == vals + assert other_attr not in G[1][2] + + # Test removing subset of edge attributes + G = nx.path_graph(3, create_using=graph_type) + nx.set_edge_attributes( + G, + { + (u, v): {attr: vals, other_attr: other_vals, third_attr: third_vals} + for u, v in G.edges() + }, + ) + nx.remove_edge_attributes(G, other_attr, third_attr, ebunch=[(0, 1)]) + assert other_attr not in G[0][1] and third_attr not in G[0][1] + assert other_attr in G[1][2] and third_attr in G[1][2] + + +@pytest.mark.parametrize("graph_type", (nx.MultiGraph, nx.MultiDiGraph)) +def test_remove_multi_edge_attributes(graph_type): + # Test removing single attribute + G = nx.path_graph(3, create_using=graph_type) + G.add_edge(1, 2) + attr = "hello" + vals = 100 + nx.set_edge_attributes(G, vals, attr) + nx.remove_edge_attributes(G, attr) + assert attr not in G[0][1][0] + assert attr not in G[1][2][0] + assert attr not in G[1][2][1] + + # Test removing only some attributes + G = nx.path_graph(3, create_using=graph_type) + G.add_edge(1, 2) + other_attr = "other" + other_vals = 200 + nx.set_edge_attributes(G, vals, attr) + nx.set_edge_attributes(G, other_vals, other_attr) + nx.remove_edge_attributes(G, attr) + assert attr not in G[0][1][0] + assert attr not in G[1][2][0] + assert attr not in G[1][2][1] + assert G[0][1][0][other_attr] == other_vals + assert G[1][2][0][other_attr] == other_vals + assert G[1][2][1][other_attr] == other_vals + + # Test removing multiple attributes + G = nx.path_graph(3, create_using=graph_type) + G.add_edge(1, 2) + nx.set_edge_attributes(G, vals, attr) + nx.set_edge_attributes(G, other_vals, other_attr) + nx.remove_edge_attributes(G, attr, other_attr) + assert attr not in G[0][1][0] and other_attr not in G[0][1][0] + assert attr not in G[1][2][0] and other_attr not in G[1][2][0] + assert attr not in G[1][2][1] and other_attr not in G[1][2][1] + + # Test removing multiple (not all) attributes + G = nx.path_graph(3, create_using=graph_type) + G.add_edge(1, 2) + third_attr = "third" + third_vals = 300 + nx.set_edge_attributes( + G, + { + (u, v, k): {attr: vals, other_attr: other_vals, third_attr: third_vals} + for u, v, k in G.edges(keys=True) + }, + ) + nx.remove_edge_attributes(G, other_attr, third_attr) + assert other_attr not in G[0][1][0] and third_attr not in G[0][1][0] + assert other_attr not in G[1][2][0] and other_attr not in G[1][2][0] + assert other_attr not in G[1][2][1] and other_attr not in G[1][2][1] + assert G[0][1][0][attr] == vals + assert G[1][2][0][attr] == vals + assert G[1][2][1][attr] == vals + + # Test removing incomplete edge attributes + G = nx.path_graph(3, create_using=graph_type) + G.add_edge(1, 2) + nx.set_edge_attributes( + G, + { + (0, 1, 0): {attr: vals, other_attr: other_vals}, + (1, 2, 1): {attr: vals, other_attr: other_vals}, + }, + ) + nx.remove_edge_attributes(G, other_attr) + assert other_attr not in G[0][1][0] and G[0][1][0][attr] == vals + assert other_attr not in G[1][2][0] + assert other_attr not in G[1][2][1] + + # Test removing subset of edge attributes + G = nx.path_graph(3, create_using=graph_type) + G.add_edge(1, 2) + nx.set_edge_attributes( + G, + { + (0, 1, 0): {attr: vals, other_attr: other_vals}, + (1, 2, 0): {attr: vals, other_attr: other_vals}, + (1, 2, 1): {attr: vals, other_attr: other_vals}, + }, + ) + nx.remove_edge_attributes(G, attr, ebunch=[(0, 1, 0), (1, 2, 0)]) + assert attr not in G[0][1][0] and other_attr in G[0][1][0] + assert attr not in G[1][2][0] and other_attr in G[1][2][0] + assert attr in G[1][2][1] and other_attr in G[1][2][1] + + +def test_is_empty(): + graphs = [nx.Graph(), nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph()] + for G in graphs: + assert nx.is_empty(G) + G.add_nodes_from(range(5)) + assert nx.is_empty(G) + G.add_edges_from([(1, 2), (3, 4)]) + assert not nx.is_empty(G) + + +@pytest.mark.parametrize( + "graph_type", [nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph] +) +def test_selfloops(graph_type): + G = nx.complete_graph(3, create_using=graph_type) + G.add_edge(0, 0) + assert nodes_equal(nx.nodes_with_selfloops(G), [0]) + assert edges_equal(nx.selfloop_edges(G), [(0, 0)]) + assert edges_equal(nx.selfloop_edges(G, data=True), [(0, 0, {})]) + assert nx.number_of_selfloops(G) == 1 + + +@pytest.mark.parametrize( + "graph_type", [nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph] +) +def test_selfloop_edges_attr(graph_type): + G = nx.complete_graph(3, create_using=graph_type) + G.add_edge(0, 0) + G.add_edge(1, 1, weight=2) + assert edges_equal( + nx.selfloop_edges(G, data=True), [(0, 0, {}), (1, 1, {"weight": 2})] + ) + assert edges_equal(nx.selfloop_edges(G, data="weight"), [(0, 0, None), (1, 1, 2)]) + + +def test_selfloop_edges_multi_with_data_and_keys(): + G = nx.complete_graph(3, create_using=nx.MultiGraph) + G.add_edge(0, 0, weight=10) + G.add_edge(0, 0, weight=100) + assert edges_equal( + nx.selfloop_edges(G, data="weight", keys=True), [(0, 0, 0, 10), (0, 0, 1, 100)] + ) + + +@pytest.mark.parametrize("graph_type", [nx.Graph, nx.DiGraph]) +def test_selfloops_removal(graph_type): + G = nx.complete_graph(3, create_using=graph_type) + G.add_edge(0, 0) + G.remove_edges_from(nx.selfloop_edges(G, keys=True)) + G.add_edge(0, 0) + G.remove_edges_from(nx.selfloop_edges(G, data=True)) + G.add_edge(0, 0) + G.remove_edges_from(nx.selfloop_edges(G, keys=True, data=True)) + + +@pytest.mark.parametrize("graph_type", [nx.MultiGraph, nx.MultiDiGraph]) +def test_selfloops_removal_multi(graph_type): + """test removing selfloops behavior vis-a-vis altering a dict while iterating. + cf. gh-4068""" + G = nx.complete_graph(3, create_using=graph_type) + # Defaults - see gh-4080 + G.add_edge(0, 0) + G.add_edge(0, 0) + G.remove_edges_from(nx.selfloop_edges(G)) + assert (0, 0) not in G.edges() + # With keys + G.add_edge(0, 0) + G.add_edge(0, 0) + with pytest.raises(RuntimeError): + G.remove_edges_from(nx.selfloop_edges(G, keys=True)) + # With data + G.add_edge(0, 0) + G.add_edge(0, 0) + with pytest.raises(TypeError): + G.remove_edges_from(nx.selfloop_edges(G, data=True)) + # With keys and data + G.add_edge(0, 0) + G.add_edge(0, 0) + with pytest.raises(RuntimeError): + G.remove_edges_from(nx.selfloop_edges(G, data=True, keys=True)) + + +def test_pathweight(): + valid_path = [1, 2, 3] + invalid_path = [1, 3, 2] + graphs = [nx.Graph(), nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph()] + edges = [ + (1, 2, {"cost": 5, "dist": 6}), + (2, 3, {"cost": 3, "dist": 4}), + (1, 2, {"cost": 1, "dist": 2}), + ] + for graph in graphs: + graph.add_edges_from(edges) + assert nx.path_weight(graph, valid_path, "cost") == 4 + assert nx.path_weight(graph, valid_path, "dist") == 6 + pytest.raises(nx.NetworkXNoPath, nx.path_weight, graph, invalid_path, "cost") + + +@pytest.mark.parametrize( + "G", (nx.Graph(), nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph()) +) +def test_ispath(G): + G.add_edges_from([(1, 2), (2, 3), (1, 2), (3, 4)]) + valid_path = [1, 2, 3, 4] + invalid_path = [1, 2, 4, 3] # wrong node order + another_invalid_path = [1, 2, 3, 4, 5] # contains node not in G + assert nx.is_path(G, valid_path) + assert not nx.is_path(G, invalid_path) + assert not nx.is_path(G, another_invalid_path) + + +@pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph())) +def test_restricted_view(G): + G.add_edges_from([(0, 1), (0, 2), (0, 3), (1, 0), (1, 1), (1, 2)]) + G.add_node(4) + H = nx.restricted_view(G, [0, 2, 5], [(1, 2), (3, 4)]) + assert set(H.nodes()) == {1, 3, 4} + assert set(H.edges()) == {(1, 1)} + + +@pytest.mark.parametrize("G", (nx.MultiGraph(), nx.MultiDiGraph())) +def test_restricted_view_multi(G): + G.add_edges_from( + [(0, 1, 0), (0, 2, 0), (0, 3, 0), (0, 1, 1), (1, 0, 0), (1, 1, 0), (1, 2, 0)] + ) + G.add_node(4) + H = nx.restricted_view(G, [0, 2, 5], [(1, 2, 0), (3, 4, 0)]) + assert set(H.nodes()) == {1, 3, 4} + assert set(H.edges()) == {(1, 1)} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graph.py new file mode 100644 index 0000000000000000000000000000000000000000..b0048a31f04eb583f4bcfc32385c2335b94467ad --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graph.py @@ -0,0 +1,920 @@ +import gc +import pickle +import platform +import weakref + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, graphs_equal, nodes_equal + + +class BaseGraphTester: + """Tests for data-structure independent graph class features.""" + + def test_contains(self): + G = self.K3 + assert 1 in G + assert 4 not in G + assert "b" not in G + assert [] not in G # no exception for nonhashable + assert {1: 1} not in G # no exception for nonhashable + + def test_order(self): + G = self.K3 + assert len(G) == 3 + assert G.order() == 3 + assert G.number_of_nodes() == 3 + + def test_nodes(self): + G = self.K3 + assert isinstance(G._node, G.node_dict_factory) + assert isinstance(G._adj, G.adjlist_outer_dict_factory) + assert all( + isinstance(adj, G.adjlist_inner_dict_factory) for adj in G._adj.values() + ) + assert sorted(G.nodes()) == self.k3nodes + assert sorted(G.nodes(data=True)) == [(0, {}), (1, {}), (2, {})] + + def test_none_node(self): + G = self.Graph() + with pytest.raises(ValueError): + G.add_node(None) + with pytest.raises(ValueError): + G.add_nodes_from([None]) + with pytest.raises(ValueError): + G.add_edge(0, None) + with pytest.raises(ValueError): + G.add_edges_from([(0, None)]) + + def test_has_node(self): + G = self.K3 + assert G.has_node(1) + assert not G.has_node(4) + assert not G.has_node([]) # no exception for nonhashable + assert not G.has_node({1: 1}) # no exception for nonhashable + + def test_has_edge(self): + G = self.K3 + assert G.has_edge(0, 1) + assert not G.has_edge(0, -1) + + def test_neighbors(self): + G = self.K3 + assert sorted(G.neighbors(0)) == [1, 2] + with pytest.raises(nx.NetworkXError): + G.neighbors(-1) + + @pytest.mark.skipif( + platform.python_implementation() == "PyPy", reason="PyPy gc is different" + ) + def test_memory_leak(self): + G = self.Graph() + + def count_objects_of_type(_type): + # Iterating over all objects tracked by gc can include weak references + # whose weakly-referenced objects may no longer exist. Calling `isinstance` + # on such a weak reference will raise ReferenceError. There are at least + # three workarounds for this: one is to compare type names instead of using + # `isinstance` such as `type(obj).__name__ == typename`, another is to use + # `type(obj) == _type`, and the last is to ignore ProxyTypes as we do below. + # NOTE: even if this safeguard is deemed unnecessary to pass NetworkX tests, + # we should still keep it for maximum safety for other NetworkX backends. + return sum( + 1 + for obj in gc.get_objects() + if not isinstance(obj, weakref.ProxyTypes) and isinstance(obj, _type) + ) + + gc.collect() + before = count_objects_of_type(self.Graph) + G.copy() + gc.collect() + after = count_objects_of_type(self.Graph) + assert before == after + + # test a subgraph of the base class + class MyGraph(self.Graph): + pass + + gc.collect() + G = MyGraph() + before = count_objects_of_type(MyGraph) + G.copy() + gc.collect() + after = count_objects_of_type(MyGraph) + assert before == after + + def test_edges(self): + G = self.K3 + assert isinstance(G._adj, G.adjlist_outer_dict_factory) + assert edges_equal(G.edges(), [(0, 1), (0, 2), (1, 2)]) + assert edges_equal(G.edges(0), [(0, 1), (0, 2)]) + assert edges_equal(G.edges([0, 1]), [(0, 1), (0, 2), (1, 2)]) + with pytest.raises(nx.NetworkXError): + G.edges(-1) + + def test_degree(self): + G = self.K3 + assert sorted(G.degree()) == [(0, 2), (1, 2), (2, 2)] + assert dict(G.degree()) == {0: 2, 1: 2, 2: 2} + assert G.degree(0) == 2 + with pytest.raises(nx.NetworkXError): + G.degree(-1) # node not in graph + + def test_size(self): + G = self.K3 + assert G.size() == 3 + assert G.number_of_edges() == 3 + + def test_nbunch_iter(self): + G = self.K3 + assert nodes_equal(G.nbunch_iter(), self.k3nodes) # all nodes + assert nodes_equal(G.nbunch_iter(0), [0]) # single node + assert nodes_equal(G.nbunch_iter([0, 1]), [0, 1]) # sequence + # sequence with none in graph + assert nodes_equal(G.nbunch_iter([-1]), []) + # string sequence with none in graph + assert nodes_equal(G.nbunch_iter("foo"), []) + # node not in graph doesn't get caught upon creation of iterator + bunch = G.nbunch_iter(-1) + # but gets caught when iterator used + with pytest.raises(nx.NetworkXError, match="is not a node or a sequence"): + list(bunch) + # unhashable doesn't get caught upon creation of iterator + bunch = G.nbunch_iter([0, 1, 2, {}]) + # but gets caught when iterator hits the unhashable + with pytest.raises( + nx.NetworkXError, match="in sequence nbunch is not a valid node" + ): + list(bunch) + + def test_nbunch_iter_node_format_raise(self): + # Tests that a node that would have failed string formatting + # doesn't cause an error when attempting to raise a + # :exc:`nx.NetworkXError`. + + # For more information, see pull request #1813. + G = self.Graph() + nbunch = [("x", set())] + with pytest.raises(nx.NetworkXError): + list(G.nbunch_iter(nbunch)) + + def test_selfloop_degree(self): + G = self.Graph() + G.add_edge(1, 1) + assert sorted(G.degree()) == [(1, 2)] + assert dict(G.degree()) == {1: 2} + assert G.degree(1) == 2 + assert sorted(G.degree([1])) == [(1, 2)] + assert G.degree(1, weight="weight") == 2 + + def test_selfloops(self): + G = self.K3.copy() + G.add_edge(0, 0) + assert nodes_equal(nx.nodes_with_selfloops(G), [0]) + assert edges_equal(nx.selfloop_edges(G), [(0, 0)]) + assert nx.number_of_selfloops(G) == 1 + G.remove_edge(0, 0) + G.add_edge(0, 0) + G.remove_edges_from([(0, 0)]) + G.add_edge(1, 1) + G.remove_node(1) + G.add_edge(0, 0) + G.add_edge(1, 1) + G.remove_nodes_from([0, 1]) + + def test_cache_reset(self): + G = self.K3.copy() + old_adj = G.adj + assert id(G.adj) == id(old_adj) + G._adj = {} + assert id(G.adj) != id(old_adj) + + old_nodes = G.nodes + assert id(G.nodes) == id(old_nodes) + G._node = {} + assert id(G.nodes) != id(old_nodes) + + def test_attributes_cached(self): + G = self.K3.copy() + assert id(G.nodes) == id(G.nodes) + assert id(G.edges) == id(G.edges) + assert id(G.degree) == id(G.degree) + assert id(G.adj) == id(G.adj) + + +class BaseAttrGraphTester(BaseGraphTester): + """Tests of graph class attribute features.""" + + def test_weighted_degree(self): + G = self.Graph() + G.add_edge(1, 2, weight=2, other=3) + G.add_edge(2, 3, weight=3, other=4) + assert sorted(d for n, d in G.degree(weight="weight")) == [2, 3, 5] + assert dict(G.degree(weight="weight")) == {1: 2, 2: 5, 3: 3} + assert G.degree(1, weight="weight") == 2 + assert nodes_equal((G.degree([1], weight="weight")), [(1, 2)]) + + assert nodes_equal((d for n, d in G.degree(weight="other")), [3, 7, 4]) + assert dict(G.degree(weight="other")) == {1: 3, 2: 7, 3: 4} + assert G.degree(1, weight="other") == 3 + assert edges_equal((G.degree([1], weight="other")), [(1, 3)]) + + def add_attributes(self, G): + G.graph["foo"] = [] + G.nodes[0]["foo"] = [] + G.remove_edge(1, 2) + ll = [] + G.add_edge(1, 2, foo=ll) + G.add_edge(2, 1, foo=ll) + + def test_name(self): + G = self.Graph(name="") + assert G.name == "" + G = self.Graph(name="test") + assert G.name == "test" + + def test_str_unnamed(self): + G = self.Graph() + G.add_edges_from([(1, 2), (2, 3)]) + assert str(G) == f"{type(G).__name__} with 3 nodes and 2 edges" + + def test_str_named(self): + G = self.Graph(name="foo") + G.add_edges_from([(1, 2), (2, 3)]) + assert str(G) == f"{type(G).__name__} named 'foo' with 3 nodes and 2 edges" + + def test_graph_chain(self): + G = self.Graph([(0, 1), (1, 2)]) + DG = G.to_directed(as_view=True) + SDG = DG.subgraph([0, 1]) + RSDG = SDG.reverse(copy=False) + assert G is DG._graph + assert DG is SDG._graph + assert SDG is RSDG._graph + + def test_copy(self): + G = self.Graph() + G.add_node(0) + G.add_edge(1, 2) + self.add_attributes(G) + # copy edge datadict but any container attr are same + H = G.copy() + self.graphs_equal(H, G) + self.different_attrdict(H, G) + self.shallow_copy_attrdict(H, G) + + def test_class_copy(self): + G = self.Graph() + G.add_node(0) + G.add_edge(1, 2) + self.add_attributes(G) + # copy edge datadict but any container attr are same + H = G.__class__(G) + self.graphs_equal(H, G) + self.different_attrdict(H, G) + self.shallow_copy_attrdict(H, G) + + def test_fresh_copy(self): + G = self.Graph() + G.add_node(0) + G.add_edge(1, 2) + self.add_attributes(G) + # copy graph structure but use fresh datadict + H = G.__class__() + H.add_nodes_from(G) + H.add_edges_from(G.edges()) + assert len(G.nodes[0]) == 1 + ddict = G.adj[1][2][0] if G.is_multigraph() else G.adj[1][2] + assert len(ddict) == 1 + assert len(H.nodes[0]) == 0 + ddict = H.adj[1][2][0] if H.is_multigraph() else H.adj[1][2] + assert len(ddict) == 0 + + def is_deepcopy(self, H, G): + self.graphs_equal(H, G) + self.different_attrdict(H, G) + self.deep_copy_attrdict(H, G) + + def deep_copy_attrdict(self, H, G): + self.deepcopy_graph_attr(H, G) + self.deepcopy_node_attr(H, G) + self.deepcopy_edge_attr(H, G) + + def deepcopy_graph_attr(self, H, G): + assert G.graph["foo"] == H.graph["foo"] + G.graph["foo"].append(1) + assert G.graph["foo"] != H.graph["foo"] + + def deepcopy_node_attr(self, H, G): + assert G.nodes[0]["foo"] == H.nodes[0]["foo"] + G.nodes[0]["foo"].append(1) + assert G.nodes[0]["foo"] != H.nodes[0]["foo"] + + def deepcopy_edge_attr(self, H, G): + assert G[1][2]["foo"] == H[1][2]["foo"] + G[1][2]["foo"].append(1) + assert G[1][2]["foo"] != H[1][2]["foo"] + + def is_shallow_copy(self, H, G): + self.graphs_equal(H, G) + self.shallow_copy_attrdict(H, G) + + def shallow_copy_attrdict(self, H, G): + self.shallow_copy_graph_attr(H, G) + self.shallow_copy_node_attr(H, G) + self.shallow_copy_edge_attr(H, G) + + def shallow_copy_graph_attr(self, H, G): + assert G.graph["foo"] == H.graph["foo"] + G.graph["foo"].append(1) + assert G.graph["foo"] == H.graph["foo"] + + def shallow_copy_node_attr(self, H, G): + assert G.nodes[0]["foo"] == H.nodes[0]["foo"] + G.nodes[0]["foo"].append(1) + assert G.nodes[0]["foo"] == H.nodes[0]["foo"] + + def shallow_copy_edge_attr(self, H, G): + assert G[1][2]["foo"] == H[1][2]["foo"] + G[1][2]["foo"].append(1) + assert G[1][2]["foo"] == H[1][2]["foo"] + + def same_attrdict(self, H, G): + old_foo = H[1][2]["foo"] + H.adj[1][2]["foo"] = "baz" + assert G.edges == H.edges + H.adj[1][2]["foo"] = old_foo + assert G.edges == H.edges + + old_foo = H.nodes[0]["foo"] + H.nodes[0]["foo"] = "baz" + assert G.nodes == H.nodes + H.nodes[0]["foo"] = old_foo + assert G.nodes == H.nodes + + def different_attrdict(self, H, G): + old_foo = H[1][2]["foo"] + H.adj[1][2]["foo"] = "baz" + assert G._adj != H._adj + H.adj[1][2]["foo"] = old_foo + assert G._adj == H._adj + + old_foo = H.nodes[0]["foo"] + H.nodes[0]["foo"] = "baz" + assert G._node != H._node + H.nodes[0]["foo"] = old_foo + assert G._node == H._node + + def graphs_equal(self, H, G): + assert G._adj == H._adj + assert G._node == H._node + assert G.graph == H.graph + assert G.name == H.name + if not G.is_directed() and not H.is_directed(): + assert H._adj[1][2] is H._adj[2][1] + assert G._adj[1][2] is G._adj[2][1] + else: # at least one is directed + if not G.is_directed(): + G._pred = G._adj + G._succ = G._adj + if not H.is_directed(): + H._pred = H._adj + H._succ = H._adj + assert G._pred == H._pred + assert G._succ == H._succ + assert H._succ[1][2] is H._pred[2][1] + assert G._succ[1][2] is G._pred[2][1] + + def test_graph_attr(self): + G = self.K3.copy() + G.graph["foo"] = "bar" + assert isinstance(G.graph, G.graph_attr_dict_factory) + assert G.graph["foo"] == "bar" + del G.graph["foo"] + assert G.graph == {} + H = self.Graph(foo="bar") + assert H.graph["foo"] == "bar" + + def test_node_attr(self): + G = self.K3.copy() + G.add_node(1, foo="bar") + assert all( + isinstance(d, G.node_attr_dict_factory) for u, d in G.nodes(data=True) + ) + assert nodes_equal(G.nodes(), [0, 1, 2]) + assert nodes_equal(G.nodes(data=True), [(0, {}), (1, {"foo": "bar"}), (2, {})]) + G.nodes[1]["foo"] = "baz" + assert nodes_equal(G.nodes(data=True), [(0, {}), (1, {"foo": "baz"}), (2, {})]) + assert nodes_equal(G.nodes(data="foo"), [(0, None), (1, "baz"), (2, None)]) + assert nodes_equal( + G.nodes(data="foo", default="bar"), [(0, "bar"), (1, "baz"), (2, "bar")] + ) + + def test_node_attr2(self): + G = self.K3.copy() + a = {"foo": "bar"} + G.add_node(3, **a) + assert nodes_equal(G.nodes(), [0, 1, 2, 3]) + assert nodes_equal( + G.nodes(data=True), [(0, {}), (1, {}), (2, {}), (3, {"foo": "bar"})] + ) + + def test_edge_lookup(self): + G = self.Graph() + G.add_edge(1, 2, foo="bar") + assert edges_equal(G.edges[1, 2], {"foo": "bar"}) + + def test_edge_attr(self): + G = self.Graph() + G.add_edge(1, 2, foo="bar") + assert all( + isinstance(d, G.edge_attr_dict_factory) for u, v, d in G.edges(data=True) + ) + assert edges_equal(G.edges(data=True), [(1, 2, {"foo": "bar"})]) + assert edges_equal(G.edges(data="foo"), [(1, 2, "bar")]) + + def test_edge_attr2(self): + G = self.Graph() + G.add_edges_from([(1, 2), (3, 4)], foo="foo") + assert edges_equal( + G.edges(data=True), [(1, 2, {"foo": "foo"}), (3, 4, {"foo": "foo"})] + ) + assert edges_equal(G.edges(data="foo"), [(1, 2, "foo"), (3, 4, "foo")]) + + def test_edge_attr3(self): + G = self.Graph() + G.add_edges_from([(1, 2, {"weight": 32}), (3, 4, {"weight": 64})], foo="foo") + assert edges_equal( + G.edges(data=True), + [ + (1, 2, {"foo": "foo", "weight": 32}), + (3, 4, {"foo": "foo", "weight": 64}), + ], + ) + + G.remove_edges_from([(1, 2), (3, 4)]) + G.add_edge(1, 2, data=7, spam="bar", bar="foo") + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 7, "spam": "bar", "bar": "foo"})] + ) + + def test_edge_attr4(self): + G = self.Graph() + G.add_edge(1, 2, data=7, spam="bar", bar="foo") + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 7, "spam": "bar", "bar": "foo"})] + ) + G[1][2]["data"] = 10 # OK to set data like this + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 10, "spam": "bar", "bar": "foo"})] + ) + + G.adj[1][2]["data"] = 20 + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 20, "spam": "bar", "bar": "foo"})] + ) + G.edges[1, 2]["data"] = 21 # another spelling, "edge" + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 21, "spam": "bar", "bar": "foo"})] + ) + G.adj[1][2]["listdata"] = [20, 200] + G.adj[1][2]["weight"] = 20 + dd = { + "data": 21, + "spam": "bar", + "bar": "foo", + "listdata": [20, 200], + "weight": 20, + } + assert edges_equal(G.edges(data=True), [(1, 2, dd)]) + + def test_to_undirected(self): + G = self.K3 + self.add_attributes(G) + H = nx.Graph(G) + self.is_shallow_copy(H, G) + self.different_attrdict(H, G) + H = G.to_undirected() + self.is_deepcopy(H, G) + + def test_to_directed_as_view(self): + H = nx.path_graph(2, create_using=self.Graph) + H2 = H.to_directed(as_view=True) + assert H is H2._graph + assert H2.has_edge(0, 1) + assert H2.has_edge(1, 0) or H.is_directed() + pytest.raises(nx.NetworkXError, H2.add_node, -1) + pytest.raises(nx.NetworkXError, H2.add_edge, 1, 2) + H.add_edge(1, 2) + assert H2.has_edge(1, 2) + assert H2.has_edge(2, 1) or H.is_directed() + + def test_to_undirected_as_view(self): + H = nx.path_graph(2, create_using=self.Graph) + H2 = H.to_undirected(as_view=True) + assert H is H2._graph + assert H2.has_edge(0, 1) + assert H2.has_edge(1, 0) + pytest.raises(nx.NetworkXError, H2.add_node, -1) + pytest.raises(nx.NetworkXError, H2.add_edge, 1, 2) + H.add_edge(1, 2) + assert H2.has_edge(1, 2) + assert H2.has_edge(2, 1) + + def test_directed_class(self): + G = self.Graph() + + class newGraph(G.to_undirected_class()): + def to_directed_class(self): + return newDiGraph + + def to_undirected_class(self): + return newGraph + + class newDiGraph(G.to_directed_class()): + def to_directed_class(self): + return newDiGraph + + def to_undirected_class(self): + return newGraph + + G = newDiGraph() if G.is_directed() else newGraph() + H = G.to_directed() + assert isinstance(H, newDiGraph) + H = G.to_undirected() + assert isinstance(H, newGraph) + + def test_to_directed(self): + G = self.K3 + self.add_attributes(G) + H = nx.DiGraph(G) + self.is_shallow_copy(H, G) + self.different_attrdict(H, G) + H = G.to_directed() + self.is_deepcopy(H, G) + + def test_subgraph(self): + G = self.K3 + self.add_attributes(G) + H = G.subgraph([0, 1, 2, 5]) + self.graphs_equal(H, G) + self.same_attrdict(H, G) + self.shallow_copy_attrdict(H, G) + + H = G.subgraph(0) + assert H.adj == {0: {}} + H = G.subgraph([]) + assert H.adj == {} + assert G.adj != {} + + def test_selfloops_attr(self): + G = self.K3.copy() + G.add_edge(0, 0) + G.add_edge(1, 1, weight=2) + assert edges_equal( + nx.selfloop_edges(G, data=True), [(0, 0, {}), (1, 1, {"weight": 2})] + ) + assert edges_equal( + nx.selfloop_edges(G, data="weight"), [(0, 0, None), (1, 1, 2)] + ) + + +class TestGraph(BaseAttrGraphTester): + """Tests specific to dict-of-dict-of-dict graph data structure""" + + def setup_method(self): + self.Graph = nx.Graph + # build dict-of-dict-of-dict K3 + ed1, ed2, ed3 = ({}, {}, {}) + self.k3adj = {0: {1: ed1, 2: ed2}, 1: {0: ed1, 2: ed3}, 2: {0: ed2, 1: ed3}} + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._adj = self.k3adj + self.K3._node = {} + self.K3._node[0] = {} + self.K3._node[1] = {} + self.K3._node[2] = {} + + def test_pickle(self): + G = self.K3 + pg = pickle.loads(pickle.dumps(G, -1)) + self.graphs_equal(pg, G) + pg = pickle.loads(pickle.dumps(G)) + self.graphs_equal(pg, G) + + def test_data_input(self): + G = self.Graph({1: [2], 2: [1]}, name="test") + assert G.name == "test" + assert sorted(G.adj.items()) == [(1, {2: {}}), (2, {1: {}})] + + def test_adjacency(self): + G = self.K3 + assert dict(G.adjacency()) == { + 0: {1: {}, 2: {}}, + 1: {0: {}, 2: {}}, + 2: {0: {}, 1: {}}, + } + + def test_getitem(self): + G = self.K3 + assert G.adj[0] == {1: {}, 2: {}} + assert G[0] == {1: {}, 2: {}} + with pytest.raises(KeyError): + G.__getitem__("j") + with pytest.raises(TypeError): + G.__getitem__(["A"]) + + def test_add_node(self): + G = self.Graph() + G.add_node(0) + assert G.adj == {0: {}} + # test add attributes + G.add_node(1, c="red") + G.add_node(2, c="blue") + G.add_node(3, c="red") + assert G.nodes[1]["c"] == "red" + assert G.nodes[2]["c"] == "blue" + assert G.nodes[3]["c"] == "red" + # test updating attributes + G.add_node(1, c="blue") + G.add_node(2, c="red") + G.add_node(3, c="blue") + assert G.nodes[1]["c"] == "blue" + assert G.nodes[2]["c"] == "red" + assert G.nodes[3]["c"] == "blue" + + def test_add_nodes_from(self): + G = self.Graph() + G.add_nodes_from([0, 1, 2]) + assert G.adj == {0: {}, 1: {}, 2: {}} + # test add attributes + G.add_nodes_from([0, 1, 2], c="red") + assert G.nodes[0]["c"] == "red" + assert G.nodes[2]["c"] == "red" + # test that attribute dicts are not the same + assert G.nodes[0] is not G.nodes[1] + # test updating attributes + G.add_nodes_from([0, 1, 2], c="blue") + assert G.nodes[0]["c"] == "blue" + assert G.nodes[2]["c"] == "blue" + assert G.nodes[0] is not G.nodes[1] + # test tuple input + H = self.Graph() + H.add_nodes_from(G.nodes(data=True)) + assert H.nodes[0]["c"] == "blue" + assert H.nodes[2]["c"] == "blue" + assert H.nodes[0] is not H.nodes[1] + # specific overrides general + H.add_nodes_from([0, (1, {"c": "green"}), (3, {"c": "cyan"})], c="red") + assert H.nodes[0]["c"] == "red" + assert H.nodes[1]["c"] == "green" + assert H.nodes[2]["c"] == "blue" + assert H.nodes[3]["c"] == "cyan" + + def test_remove_node(self): + G = self.K3.copy() + G.remove_node(0) + assert G.adj == {1: {2: {}}, 2: {1: {}}} + with pytest.raises(nx.NetworkXError): + G.remove_node(-1) + + # generator here to implement list,set,string... + + def test_remove_nodes_from(self): + G = self.K3.copy() + G.remove_nodes_from([0, 1]) + assert G.adj == {2: {}} + G.remove_nodes_from([-1]) # silent fail + + def test_add_edge(self): + G = self.Graph() + G.add_edge(0, 1) + assert G.adj == {0: {1: {}}, 1: {0: {}}} + G = self.Graph() + G.add_edge(*(0, 1)) + assert G.adj == {0: {1: {}}, 1: {0: {}}} + G = self.Graph() + with pytest.raises(ValueError): + G.add_edge(None, "anything") + + def test_add_edges_from(self): + G = self.Graph() + G.add_edges_from([(0, 1), (0, 2, {"weight": 3})]) + assert G.adj == { + 0: {1: {}, 2: {"weight": 3}}, + 1: {0: {}}, + 2: {0: {"weight": 3}}, + } + G = self.Graph() + G.add_edges_from([(0, 1), (0, 2, {"weight": 3}), (1, 2, {"data": 4})], data=2) + assert G.adj == { + 0: {1: {"data": 2}, 2: {"weight": 3, "data": 2}}, + 1: {0: {"data": 2}, 2: {"data": 4}}, + 2: {0: {"weight": 3, "data": 2}, 1: {"data": 4}}, + } + + with pytest.raises(nx.NetworkXError): + G.add_edges_from([(0,)]) # too few in tuple + with pytest.raises(nx.NetworkXError): + G.add_edges_from([(0, 1, 2, 3)]) # too many in tuple + with pytest.raises(TypeError): + G.add_edges_from([0]) # not a tuple + with pytest.raises(ValueError): + G.add_edges_from([(None, 3), (3, 2)]) # None cannot be a node + + def test_remove_edge(self): + G = self.K3.copy() + G.remove_edge(0, 1) + assert G.adj == {0: {2: {}}, 1: {2: {}}, 2: {0: {}, 1: {}}} + with pytest.raises(nx.NetworkXError): + G.remove_edge(-1, 0) + + def test_remove_edges_from(self): + G = self.K3.copy() + G.remove_edges_from([(0, 1)]) + assert G.adj == {0: {2: {}}, 1: {2: {}}, 2: {0: {}, 1: {}}} + G.remove_edges_from([(0, 0)]) # silent fail + + def test_clear(self): + G = self.K3.copy() + G.graph["name"] = "K3" + G.clear() + assert list(G.nodes) == [] + assert G.adj == {} + assert G.graph == {} + + def test_clear_edges(self): + G = self.K3.copy() + G.graph["name"] = "K3" + nodes = list(G.nodes) + G.clear_edges() + assert list(G.nodes) == nodes + assert G.adj == {0: {}, 1: {}, 2: {}} + assert list(G.edges) == [] + assert G.graph["name"] == "K3" + + def test_edges_data(self): + G = self.K3 + all_edges = [(0, 1, {}), (0, 2, {}), (1, 2, {})] + assert edges_equal(G.edges(data=True), all_edges) + assert edges_equal(G.edges(0, data=True), [(0, 1, {}), (0, 2, {})]) + assert edges_equal(G.edges([0, 1], data=True), all_edges) + with pytest.raises(nx.NetworkXError): + G.edges(-1, True) + + def test_get_edge_data(self): + G = self.K3.copy() + assert G.get_edge_data(0, 1) == {} + assert G[0][1] == {} + assert G.get_edge_data(10, 20) is None + assert G.get_edge_data(-1, 0) is None + assert G.get_edge_data(-1, 0, default=1) == 1 + + def test_update(self): + # specify both edges and nodes + G = self.K3.copy() + G.update(nodes=[3, (4, {"size": 2})], edges=[(4, 5), (6, 7, {"weight": 2})]) + nlist = [ + (0, {}), + (1, {}), + (2, {}), + (3, {}), + (4, {"size": 2}), + (5, {}), + (6, {}), + (7, {}), + ] + assert sorted(G.nodes.data()) == nlist + if G.is_directed(): + elist = [ + (0, 1, {}), + (0, 2, {}), + (1, 0, {}), + (1, 2, {}), + (2, 0, {}), + (2, 1, {}), + (4, 5, {}), + (6, 7, {"weight": 2}), + ] + else: + elist = [ + (0, 1, {}), + (0, 2, {}), + (1, 2, {}), + (4, 5, {}), + (6, 7, {"weight": 2}), + ] + assert sorted(G.edges.data()) == elist + assert G.graph == {} + + # no keywords -- order is edges, nodes + G = self.K3.copy() + G.update([(4, 5), (6, 7, {"weight": 2})], [3, (4, {"size": 2})]) + assert sorted(G.nodes.data()) == nlist + assert sorted(G.edges.data()) == elist + assert G.graph == {} + + # update using only a graph + G = self.Graph() + G.graph["foo"] = "bar" + G.add_node(2, data=4) + G.add_edge(0, 1, weight=0.5) + GG = G.copy() + H = self.Graph() + GG.update(H) + assert graphs_equal(G, GG) + H.update(G) + assert graphs_equal(H, G) + + # update nodes only + H = self.Graph() + H.update(nodes=[3, 4]) + assert H.nodes ^ {3, 4} == set() + assert H.size() == 0 + + # update edges only + H = self.Graph() + H.update(edges=[(3, 4)]) + assert sorted(H.edges.data()) == [(3, 4, {})] + assert H.size() == 1 + + # No inputs -> exception + with pytest.raises(nx.NetworkXError): + nx.Graph().update() + + +class TestEdgeSubgraph: + """Unit tests for the :meth:`Graph.edge_subgraph` method.""" + + def setup_method(self): + # Create a path graph on five nodes. + G = nx.path_graph(5) + # Add some node, edge, and graph attributes. + for i in range(5): + G.nodes[i]["name"] = f"node{i}" + G.edges[0, 1]["name"] = "edge01" + G.edges[3, 4]["name"] = "edge34" + G.graph["name"] = "graph" + # Get the subgraph induced by the first and last edges. + self.G = G + self.H = G.edge_subgraph([(0, 1), (3, 4)]) + + def test_correct_nodes(self): + """Tests that the subgraph has the correct nodes.""" + assert [0, 1, 3, 4] == sorted(self.H.nodes()) + + def test_correct_edges(self): + """Tests that the subgraph has the correct edges.""" + assert [(0, 1, "edge01"), (3, 4, "edge34")] == sorted(self.H.edges(data="name")) + + def test_add_node(self): + """Tests that adding a node to the original graph does not + affect the nodes of the subgraph. + + """ + self.G.add_node(5) + assert [0, 1, 3, 4] == sorted(self.H.nodes()) + + def test_remove_node(self): + """Tests that removing a node in the original graph does + affect the nodes of the subgraph. + + """ + self.G.remove_node(0) + assert [1, 3, 4] == sorted(self.H.nodes()) + + def test_node_attr_dict(self): + """Tests that the node attribute dictionary of the two graphs is + the same object. + + """ + for v in self.H: + assert self.G.nodes[v] == self.H.nodes[v] + # Making a change to G should make a change in H and vice versa. + self.G.nodes[0]["name"] = "foo" + assert self.G.nodes[0] == self.H.nodes[0] + self.H.nodes[1]["name"] = "bar" + assert self.G.nodes[1] == self.H.nodes[1] + + def test_edge_attr_dict(self): + """Tests that the edge attribute dictionary of the two graphs is + the same object. + + """ + for u, v in self.H.edges(): + assert self.G.edges[u, v] == self.H.edges[u, v] + # Making a change to G should make a change in H and vice versa. + self.G.edges[0, 1]["name"] = "foo" + assert self.G.edges[0, 1]["name"] == self.H.edges[0, 1]["name"] + self.H.edges[3, 4]["name"] = "bar" + assert self.G.edges[3, 4]["name"] == self.H.edges[3, 4]["name"] + + def test_graph_attr_dict(self): + """Tests that the graph attribute dictionary of the two graphs + is the same object. + + """ + assert self.G.graph is self.H.graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graph_historical.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graph_historical.py new file mode 100644 index 0000000000000000000000000000000000000000..36aba7100e7758f6357d66470f45b0fcd0f10145 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graph_historical.py @@ -0,0 +1,13 @@ +"""Original NetworkX graph tests""" + +import networkx +import networkx as nx + +from .historical_tests import HistoricalTests + + +class TestGraphHistorical(HistoricalTests): + @classmethod + def setup_class(cls): + HistoricalTests.setup_class() + cls.G = nx.Graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graphviews.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graphviews.py new file mode 100644 index 0000000000000000000000000000000000000000..591c760c9bdfa61984dd7b87e938b1c15c04be0e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_graphviews.py @@ -0,0 +1,350 @@ +import pytest + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + +# Note: SubGraph views are not tested here. They have their own testing file + + +class TestReverseView: + def setup_method(self): + self.G = nx.path_graph(9, create_using=nx.DiGraph()) + self.rv = nx.reverse_view(self.G) + + def test_pickle(self): + import pickle + + rv = self.rv + prv = pickle.loads(pickle.dumps(rv, -1)) + assert rv._node == prv._node + assert rv._adj == prv._adj + assert rv.graph == prv.graph + + def test_contains(self): + assert (2, 3) in self.G.edges + assert (3, 2) not in self.G.edges + assert (2, 3) not in self.rv.edges + assert (3, 2) in self.rv.edges + + def test_iter(self): + expected = sorted(tuple(reversed(e)) for e in self.G.edges) + assert sorted(self.rv.edges) == expected + + def test_exceptions(self): + G = nx.Graph() + pytest.raises(nx.NetworkXNotImplemented, nx.reverse_view, G) + + def test_subclass(self): + class MyGraph(nx.DiGraph): + def my_method(self): + return "me" + + def to_directed_class(self): + return MyGraph() + + M = MyGraph() + M.add_edge(1, 2) + RM = nx.reverse_view(M) + print("RM class", RM.__class__) + RMC = RM.copy() + print("RMC class", RMC.__class__) + print(RMC.edges) + assert RMC.has_edge(2, 1) + assert RMC.my_method() == "me" + + +class TestMultiReverseView: + def setup_method(self): + self.G = nx.path_graph(9, create_using=nx.MultiDiGraph()) + self.G.add_edge(4, 5) + self.rv = nx.reverse_view(self.G) + + def test_pickle(self): + import pickle + + rv = self.rv + prv = pickle.loads(pickle.dumps(rv, -1)) + assert rv._node == prv._node + assert rv._adj == prv._adj + assert rv.graph == prv.graph + + def test_contains(self): + assert (2, 3, 0) in self.G.edges + assert (3, 2, 0) not in self.G.edges + assert (2, 3, 0) not in self.rv.edges + assert (3, 2, 0) in self.rv.edges + assert (5, 4, 1) in self.rv.edges + assert (4, 5, 1) not in self.rv.edges + + def test_iter(self): + expected = sorted((v, u, k) for u, v, k in self.G.edges) + assert sorted(self.rv.edges) == expected + + def test_exceptions(self): + MG = nx.MultiGraph(self.G) + pytest.raises(nx.NetworkXNotImplemented, nx.reverse_view, MG) + + +def test_generic_multitype(): + nxg = nx.graphviews + G = nx.DiGraph([(1, 2)]) + with pytest.raises(nx.NetworkXError): + nxg.generic_graph_view(G, create_using=nx.MultiGraph) + G = nx.MultiDiGraph([(1, 2)]) + with pytest.raises(nx.NetworkXError): + nxg.generic_graph_view(G, create_using=nx.DiGraph) + + +class TestToDirected: + def setup_method(self): + self.G = nx.path_graph(9) + self.dv = nx.to_directed(self.G) + self.MG = nx.path_graph(9, create_using=nx.MultiGraph()) + self.Mdv = nx.to_directed(self.MG) + + def test_directed(self): + assert not self.G.is_directed() + assert self.dv.is_directed() + + def test_already_directed(self): + dd = nx.to_directed(self.dv) + Mdd = nx.to_directed(self.Mdv) + assert edges_equal(dd.edges, self.dv.edges) + assert edges_equal(Mdd.edges, self.Mdv.edges) + + def test_pickle(self): + import pickle + + dv = self.dv + pdv = pickle.loads(pickle.dumps(dv, -1)) + assert dv._node == pdv._node + assert dv._succ == pdv._succ + assert dv._pred == pdv._pred + assert dv.graph == pdv.graph + + def test_contains(self): + assert (2, 3) in self.G.edges + assert (3, 2) in self.G.edges + assert (2, 3) in self.dv.edges + assert (3, 2) in self.dv.edges + + def test_iter(self): + revd = [tuple(reversed(e)) for e in self.G.edges] + expected = sorted(list(self.G.edges) + revd) + assert sorted(self.dv.edges) == expected + + +class TestToUndirected: + def setup_method(self): + self.DG = nx.path_graph(9, create_using=nx.DiGraph()) + self.uv = nx.to_undirected(self.DG) + self.MDG = nx.path_graph(9, create_using=nx.MultiDiGraph()) + self.Muv = nx.to_undirected(self.MDG) + + def test_directed(self): + assert self.DG.is_directed() + assert not self.uv.is_directed() + + def test_already_directed(self): + uu = nx.to_undirected(self.uv) + Muu = nx.to_undirected(self.Muv) + assert edges_equal(uu.edges, self.uv.edges) + assert edges_equal(Muu.edges, self.Muv.edges) + + def test_pickle(self): + import pickle + + uv = self.uv + puv = pickle.loads(pickle.dumps(uv, -1)) + assert uv._node == puv._node + assert uv._adj == puv._adj + assert uv.graph == puv.graph + assert hasattr(uv, "_graph") + + def test_contains(self): + assert (2, 3) in self.DG.edges + assert (3, 2) not in self.DG.edges + assert (2, 3) in self.uv.edges + assert (3, 2) in self.uv.edges + + def test_iter(self): + expected = sorted(self.DG.edges) + assert sorted(self.uv.edges) == expected + + +class TestChainsOfViews: + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.DG = nx.path_graph(9, create_using=nx.DiGraph()) + cls.MG = nx.path_graph(9, create_using=nx.MultiGraph()) + cls.MDG = nx.path_graph(9, create_using=nx.MultiDiGraph()) + cls.Gv = nx.to_undirected(cls.DG) + cls.DGv = nx.to_directed(cls.G) + cls.MGv = nx.to_undirected(cls.MDG) + cls.MDGv = nx.to_directed(cls.MG) + cls.Rv = cls.DG.reverse() + cls.MRv = cls.MDG.reverse() + cls.graphs = [ + cls.G, + cls.DG, + cls.MG, + cls.MDG, + cls.Gv, + cls.DGv, + cls.MGv, + cls.MDGv, + cls.Rv, + cls.MRv, + ] + for G in cls.graphs: + G.edges, G.nodes, G.degree + + def test_pickle(self): + import pickle + + for G in self.graphs: + H = pickle.loads(pickle.dumps(G, -1)) + assert edges_equal(H.edges, G.edges) + assert nodes_equal(H.nodes, G.nodes) + + def test_subgraph_of_subgraph(self): + SGv = nx.subgraph(self.G, range(3, 7)) + SDGv = nx.subgraph(self.DG, range(3, 7)) + SMGv = nx.subgraph(self.MG, range(3, 7)) + SMDGv = nx.subgraph(self.MDG, range(3, 7)) + for G in self.graphs + [SGv, SDGv, SMGv, SMDGv]: + SG = nx.induced_subgraph(G, [4, 5, 6]) + assert list(SG) == [4, 5, 6] + SSG = SG.subgraph([6, 7]) + assert list(SSG) == [6] + # subgraph-subgraph chain is short-cut in base class method + assert SSG._graph is G + + def test_restricted_induced_subgraph_chains(self): + """Test subgraph chains that both restrict and show nodes/edges. + + A restricted_view subgraph should allow induced subgraphs using + G.subgraph that automagically without a chain (meaning the result + is a subgraph view of the original graph not a subgraph-of-subgraph. + """ + hide_nodes = [3, 4, 5] + hide_edges = [(6, 7)] + RG = nx.restricted_view(self.G, hide_nodes, hide_edges) + nodes = [4, 5, 6, 7, 8] + SG = nx.induced_subgraph(RG, nodes) + SSG = RG.subgraph(nodes) + assert RG._graph is self.G + assert SSG._graph is self.G + assert SG._graph is RG + assert edges_equal(SG.edges, SSG.edges) + # should be same as morphing the graph + CG = self.G.copy() + CG.remove_nodes_from(hide_nodes) + CG.remove_edges_from(hide_edges) + assert edges_equal(CG.edges(nodes), SSG.edges) + CG.remove_nodes_from([0, 1, 2, 3]) + assert edges_equal(CG.edges, SSG.edges) + # switch order: subgraph first, then restricted view + SSSG = self.G.subgraph(nodes) + RSG = nx.restricted_view(SSSG, hide_nodes, hide_edges) + assert RSG._graph is not self.G + assert edges_equal(RSG.edges, CG.edges) + + def test_subgraph_copy(self): + for origG in self.graphs: + G = nx.Graph(origG) + SG = G.subgraph([4, 5, 6]) + H = SG.copy() + assert type(G) == type(H) + + def test_subgraph_todirected(self): + SG = nx.induced_subgraph(self.G, [4, 5, 6]) + SSG = SG.to_directed() + assert sorted(SSG) == [4, 5, 6] + assert sorted(SSG.edges) == [(4, 5), (5, 4), (5, 6), (6, 5)] + + def test_subgraph_toundirected(self): + SG = nx.induced_subgraph(self.G, [4, 5, 6]) + SSG = SG.to_undirected() + assert list(SSG) == [4, 5, 6] + assert sorted(SSG.edges) == [(4, 5), (5, 6)] + + def test_reverse_subgraph_toundirected(self): + G = self.DG.reverse(copy=False) + SG = G.subgraph([4, 5, 6]) + SSG = SG.to_undirected() + assert list(SSG) == [4, 5, 6] + assert sorted(SSG.edges) == [(4, 5), (5, 6)] + + def test_reverse_reverse_copy(self): + G = self.DG.reverse(copy=False) + H = G.reverse(copy=True) + assert H.nodes == self.DG.nodes + assert H.edges == self.DG.edges + G = self.MDG.reverse(copy=False) + H = G.reverse(copy=True) + assert H.nodes == self.MDG.nodes + assert H.edges == self.MDG.edges + + def test_subgraph_edgesubgraph_toundirected(self): + G = self.G.copy() + SG = G.subgraph([4, 5, 6]) + SSG = SG.edge_subgraph([(4, 5), (5, 4)]) + USSG = SSG.to_undirected() + assert list(USSG) == [4, 5] + assert sorted(USSG.edges) == [(4, 5)] + + def test_copy_subgraph(self): + G = self.G.copy() + SG = G.subgraph([4, 5, 6]) + CSG = SG.copy(as_view=True) + DCSG = SG.copy(as_view=False) + assert hasattr(CSG, "_graph") # is a view + assert not hasattr(DCSG, "_graph") # not a view + + def test_copy_disubgraph(self): + G = self.DG.copy() + SG = G.subgraph([4, 5, 6]) + CSG = SG.copy(as_view=True) + DCSG = SG.copy(as_view=False) + assert hasattr(CSG, "_graph") # is a view + assert not hasattr(DCSG, "_graph") # not a view + + def test_copy_multidisubgraph(self): + G = self.MDG.copy() + SG = G.subgraph([4, 5, 6]) + CSG = SG.copy(as_view=True) + DCSG = SG.copy(as_view=False) + assert hasattr(CSG, "_graph") # is a view + assert not hasattr(DCSG, "_graph") # not a view + + def test_copy_multisubgraph(self): + G = self.MG.copy() + SG = G.subgraph([4, 5, 6]) + CSG = SG.copy(as_view=True) + DCSG = SG.copy(as_view=False) + assert hasattr(CSG, "_graph") # is a view + assert not hasattr(DCSG, "_graph") # not a view + + def test_copy_of_view(self): + G = nx.MultiGraph(self.MGv) + assert G.__class__.__name__ == "MultiGraph" + G = G.copy(as_view=True) + assert G.__class__.__name__ == "MultiGraph" + + def test_subclass(self): + class MyGraph(nx.DiGraph): + def my_method(self): + return "me" + + def to_directed_class(self): + return MyGraph() + + for origG in self.graphs: + G = MyGraph(origG) + SG = G.subgraph([4, 5, 6]) + H = SG.copy() + assert SG.my_method() == "me" + assert H.my_method() == "me" + assert 3 not in H or 3 in SG diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_multidigraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_multidigraph.py new file mode 100644 index 0000000000000000000000000000000000000000..fc0bd5467d0a62dc8f533af7a6c5bbc0a57fc010 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_multidigraph.py @@ -0,0 +1,459 @@ +from collections import UserDict + +import pytest + +import networkx as nx +from networkx.utils import edges_equal + +from .test_multigraph import BaseMultiGraphTester +from .test_multigraph import TestEdgeSubgraph as _TestMultiGraphEdgeSubgraph +from .test_multigraph import TestMultiGraph as _TestMultiGraph + + +class BaseMultiDiGraphTester(BaseMultiGraphTester): + def test_edges(self): + G = self.K3 + edges = [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.edges()) == edges + assert sorted(G.edges(0)) == [(0, 1), (0, 2)] + pytest.raises((KeyError, nx.NetworkXError), G.edges, -1) + + def test_edges_data(self): + G = self.K3 + edges = [(0, 1, {}), (0, 2, {}), (1, 0, {}), (1, 2, {}), (2, 0, {}), (2, 1, {})] + assert sorted(G.edges(data=True)) == edges + assert sorted(G.edges(0, data=True)) == [(0, 1, {}), (0, 2, {})] + pytest.raises((KeyError, nx.NetworkXError), G.neighbors, -1) + + def test_edges_multi(self): + G = self.K3 + assert sorted(G.edges()) == [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.edges(0)) == [(0, 1), (0, 2)] + G.add_edge(0, 1) + assert sorted(G.edges()) == [ + (0, 1), + (0, 1), + (0, 2), + (1, 0), + (1, 2), + (2, 0), + (2, 1), + ] + + def test_out_edges(self): + G = self.K3 + assert sorted(G.out_edges()) == [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.out_edges(0)) == [(0, 1), (0, 2)] + pytest.raises((KeyError, nx.NetworkXError), G.out_edges, -1) + assert sorted(G.out_edges(0, keys=True)) == [(0, 1, 0), (0, 2, 0)] + + def test_out_edges_multi(self): + G = self.K3 + assert sorted(G.out_edges()) == [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.out_edges(0)) == [(0, 1), (0, 2)] + G.add_edge(0, 1, 2) + assert sorted(G.out_edges()) == [ + (0, 1), + (0, 1), + (0, 2), + (1, 0), + (1, 2), + (2, 0), + (2, 1), + ] + + def test_out_edges_data(self): + G = self.K3 + assert sorted(G.edges(0, data=True)) == [(0, 1, {}), (0, 2, {})] + G.remove_edge(0, 1) + G.add_edge(0, 1, data=1) + assert sorted(G.edges(0, data=True)) == [(0, 1, {"data": 1}), (0, 2, {})] + assert sorted(G.edges(0, data="data")) == [(0, 1, 1), (0, 2, None)] + assert sorted(G.edges(0, data="data", default=-1)) == [(0, 1, 1), (0, 2, -1)] + + def test_in_edges(self): + G = self.K3 + assert sorted(G.in_edges()) == [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.in_edges(0)) == [(1, 0), (2, 0)] + pytest.raises((KeyError, nx.NetworkXError), G.in_edges, -1) + G.add_edge(0, 1, 2) + assert sorted(G.in_edges()) == [ + (0, 1), + (0, 1), + (0, 2), + (1, 0), + (1, 2), + (2, 0), + (2, 1), + ] + assert sorted(G.in_edges(0, keys=True)) == [(1, 0, 0), (2, 0, 0)] + + def test_in_edges_no_keys(self): + G = self.K3 + assert sorted(G.in_edges()) == [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)] + assert sorted(G.in_edges(0)) == [(1, 0), (2, 0)] + G.add_edge(0, 1, 2) + assert sorted(G.in_edges()) == [ + (0, 1), + (0, 1), + (0, 2), + (1, 0), + (1, 2), + (2, 0), + (2, 1), + ] + + assert sorted(G.in_edges(data=True, keys=False)) == [ + (0, 1, {}), + (0, 1, {}), + (0, 2, {}), + (1, 0, {}), + (1, 2, {}), + (2, 0, {}), + (2, 1, {}), + ] + + def test_in_edges_data(self): + G = self.K3 + assert sorted(G.in_edges(0, data=True)) == [(1, 0, {}), (2, 0, {})] + G.remove_edge(1, 0) + G.add_edge(1, 0, data=1) + assert sorted(G.in_edges(0, data=True)) == [(1, 0, {"data": 1}), (2, 0, {})] + assert sorted(G.in_edges(0, data="data")) == [(1, 0, 1), (2, 0, None)] + assert sorted(G.in_edges(0, data="data", default=-1)) == [(1, 0, 1), (2, 0, -1)] + + def is_shallow(self, H, G): + # graph + assert G.graph["foo"] == H.graph["foo"] + G.graph["foo"].append(1) + assert G.graph["foo"] == H.graph["foo"] + # node + assert G.nodes[0]["foo"] == H.nodes[0]["foo"] + G.nodes[0]["foo"].append(1) + assert G.nodes[0]["foo"] == H.nodes[0]["foo"] + # edge + assert G[1][2][0]["foo"] == H[1][2][0]["foo"] + G[1][2][0]["foo"].append(1) + assert G[1][2][0]["foo"] == H[1][2][0]["foo"] + + def is_deep(self, H, G): + # graph + assert G.graph["foo"] == H.graph["foo"] + G.graph["foo"].append(1) + assert G.graph["foo"] != H.graph["foo"] + # node + assert G.nodes[0]["foo"] == H.nodes[0]["foo"] + G.nodes[0]["foo"].append(1) + assert G.nodes[0]["foo"] != H.nodes[0]["foo"] + # edge + assert G[1][2][0]["foo"] == H[1][2][0]["foo"] + G[1][2][0]["foo"].append(1) + assert G[1][2][0]["foo"] != H[1][2][0]["foo"] + + def test_to_undirected(self): + # MultiDiGraph -> MultiGraph changes number of edges so it is + # not a copy operation... use is_shallow, not is_shallow_copy + G = self.K3 + self.add_attributes(G) + H = nx.MultiGraph(G) + # self.is_shallow(H,G) + # the result is traversal order dependent so we + # can't use the is_shallow() test here. + try: + assert edges_equal(H.edges(), [(0, 1), (1, 2), (2, 0)]) + except AssertionError: + assert edges_equal(H.edges(), [(0, 1), (1, 2), (1, 2), (2, 0)]) + H = G.to_undirected() + self.is_deep(H, G) + + def test_has_successor(self): + G = self.K3 + assert G.has_successor(0, 1) + assert not G.has_successor(0, -1) + + def test_successors(self): + G = self.K3 + assert sorted(G.successors(0)) == [1, 2] + pytest.raises((KeyError, nx.NetworkXError), G.successors, -1) + + def test_has_predecessor(self): + G = self.K3 + assert G.has_predecessor(0, 1) + assert not G.has_predecessor(0, -1) + + def test_predecessors(self): + G = self.K3 + assert sorted(G.predecessors(0)) == [1, 2] + pytest.raises((KeyError, nx.NetworkXError), G.predecessors, -1) + + def test_degree(self): + G = self.K3 + assert sorted(G.degree()) == [(0, 4), (1, 4), (2, 4)] + assert dict(G.degree()) == {0: 4, 1: 4, 2: 4} + assert G.degree(0) == 4 + assert list(G.degree(iter([0]))) == [(0, 4)] + G.add_edge(0, 1, weight=0.3, other=1.2) + assert sorted(G.degree(weight="weight")) == [(0, 4.3), (1, 4.3), (2, 4)] + assert sorted(G.degree(weight="other")) == [(0, 5.2), (1, 5.2), (2, 4)] + + def test_in_degree(self): + G = self.K3 + assert sorted(G.in_degree()) == [(0, 2), (1, 2), (2, 2)] + assert dict(G.in_degree()) == {0: 2, 1: 2, 2: 2} + assert G.in_degree(0) == 2 + assert list(G.in_degree(iter([0]))) == [(0, 2)] + assert G.in_degree(0, weight="weight") == 2 + + def test_out_degree(self): + G = self.K3 + assert sorted(G.out_degree()) == [(0, 2), (1, 2), (2, 2)] + assert dict(G.out_degree()) == {0: 2, 1: 2, 2: 2} + assert G.out_degree(0) == 2 + assert list(G.out_degree(iter([0]))) == [(0, 2)] + assert G.out_degree(0, weight="weight") == 2 + + def test_size(self): + G = self.K3 + assert G.size() == 6 + assert G.number_of_edges() == 6 + G.add_edge(0, 1, weight=0.3, other=1.2) + assert round(G.size(weight="weight"), 2) == 6.3 + assert round(G.size(weight="other"), 2) == 7.2 + + def test_to_undirected_reciprocal(self): + G = self.Graph() + G.add_edge(1, 2) + assert G.to_undirected().has_edge(1, 2) + assert not G.to_undirected(reciprocal=True).has_edge(1, 2) + G.add_edge(2, 1) + assert G.to_undirected(reciprocal=True).has_edge(1, 2) + + def test_reverse_copy(self): + G = nx.MultiDiGraph([(0, 1), (0, 1)]) + R = G.reverse() + assert sorted(R.edges()) == [(1, 0), (1, 0)] + R.remove_edge(1, 0) + assert sorted(R.edges()) == [(1, 0)] + assert sorted(G.edges()) == [(0, 1), (0, 1)] + + def test_reverse_nocopy(self): + G = nx.MultiDiGraph([(0, 1), (0, 1)]) + R = G.reverse(copy=False) + assert sorted(R.edges()) == [(1, 0), (1, 0)] + pytest.raises(nx.NetworkXError, R.remove_edge, 1, 0) + + def test_di_attributes_cached(self): + G = self.K3.copy() + assert id(G.in_edges) == id(G.in_edges) + assert id(G.out_edges) == id(G.out_edges) + assert id(G.in_degree) == id(G.in_degree) + assert id(G.out_degree) == id(G.out_degree) + assert id(G.succ) == id(G.succ) + assert id(G.pred) == id(G.pred) + + +class TestMultiDiGraph(BaseMultiDiGraphTester, _TestMultiGraph): + def setup_method(self): + self.Graph = nx.MultiDiGraph + # build K3 + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._succ = {0: {}, 1: {}, 2: {}} + # K3._adj is synced with K3._succ + self.K3._pred = {0: {}, 1: {}, 2: {}} + for u in self.k3nodes: + for v in self.k3nodes: + if u == v: + continue + d = {0: {}} + self.K3._succ[u][v] = d + self.K3._pred[v][u] = d + self.K3._node = {} + self.K3._node[0] = {} + self.K3._node[1] = {} + self.K3._node[2] = {} + + def test_add_edge(self): + G = self.Graph() + G.add_edge(0, 1) + assert G._adj == {0: {1: {0: {}}}, 1: {}} + assert G._succ == {0: {1: {0: {}}}, 1: {}} + assert G._pred == {0: {}, 1: {0: {0: {}}}} + G = self.Graph() + G.add_edge(*(0, 1)) + assert G._adj == {0: {1: {0: {}}}, 1: {}} + assert G._succ == {0: {1: {0: {}}}, 1: {}} + assert G._pred == {0: {}, 1: {0: {0: {}}}} + with pytest.raises(ValueError, match="None cannot be a node"): + G.add_edge(None, 3) + + def test_add_edges_from(self): + G = self.Graph() + G.add_edges_from([(0, 1), (0, 1, {"weight": 3})]) + assert G._adj == {0: {1: {0: {}, 1: {"weight": 3}}}, 1: {}} + assert G._succ == {0: {1: {0: {}, 1: {"weight": 3}}}, 1: {}} + assert G._pred == {0: {}, 1: {0: {0: {}, 1: {"weight": 3}}}} + + G.add_edges_from([(0, 1), (0, 1, {"weight": 3})], weight=2) + assert G._succ == { + 0: {1: {0: {}, 1: {"weight": 3}, 2: {"weight": 2}, 3: {"weight": 3}}}, + 1: {}, + } + assert G._pred == { + 0: {}, + 1: {0: {0: {}, 1: {"weight": 3}, 2: {"weight": 2}, 3: {"weight": 3}}}, + } + + G = self.Graph() + edges = [ + (0, 1, {"weight": 3}), + (0, 1, (("weight", 2),)), + (0, 1, 5), + (0, 1, "s"), + ] + G.add_edges_from(edges) + keydict = {0: {"weight": 3}, 1: {"weight": 2}, 5: {}, "s": {}} + assert G._succ == {0: {1: keydict}, 1: {}} + assert G._pred == {1: {0: keydict}, 0: {}} + + # too few in tuple + pytest.raises(nx.NetworkXError, G.add_edges_from, [(0,)]) + # too many in tuple + pytest.raises(nx.NetworkXError, G.add_edges_from, [(0, 1, 2, 3, 4)]) + # not a tuple + pytest.raises(TypeError, G.add_edges_from, [0]) + with pytest.raises(ValueError, match="None cannot be a node"): + G.add_edges_from([(None, 3), (3, 2)]) + + def test_remove_edge(self): + G = self.K3 + G.remove_edge(0, 1) + assert G._succ == { + 0: {2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + assert G._pred == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + pytest.raises((KeyError, nx.NetworkXError), G.remove_edge, -1, 0) + pytest.raises((KeyError, nx.NetworkXError), G.remove_edge, 0, 2, key=1) + + def test_remove_multiedge(self): + G = self.K3 + G.add_edge(0, 1, key="parallel edge") + G.remove_edge(0, 1, key="parallel edge") + assert G._adj == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + + assert G._succ == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + + assert G._pred == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + G.remove_edge(0, 1) + assert G._succ == { + 0: {2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + assert G._pred == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + pytest.raises((KeyError, nx.NetworkXError), G.remove_edge, -1, 0) + + def test_remove_edges_from(self): + G = self.K3 + G.remove_edges_from([(0, 1)]) + assert G._succ == { + 0: {2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + assert G._pred == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + G.remove_edges_from([(0, 0)]) # silent fail + + +class TestEdgeSubgraph(_TestMultiGraphEdgeSubgraph): + """Unit tests for the :meth:`MultiDiGraph.edge_subgraph` method.""" + + def setup_method(self): + # Create a quadruply-linked path graph on five nodes. + G = nx.MultiDiGraph() + nx.add_path(G, range(5)) + nx.add_path(G, range(5)) + nx.add_path(G, reversed(range(5))) + nx.add_path(G, reversed(range(5))) + # Add some node, edge, and graph attributes. + for i in range(5): + G.nodes[i]["name"] = f"node{i}" + G.adj[0][1][0]["name"] = "edge010" + G.adj[0][1][1]["name"] = "edge011" + G.adj[3][4][0]["name"] = "edge340" + G.adj[3][4][1]["name"] = "edge341" + G.graph["name"] = "graph" + # Get the subgraph induced by one of the first edges and one of + # the last edges. + self.G = G + self.H = G.edge_subgraph([(0, 1, 0), (3, 4, 1)]) + + +class CustomDictClass(UserDict): + pass + + +class MultiDiGraphSubClass(nx.MultiDiGraph): + node_dict_factory = CustomDictClass # type: ignore[assignment] + node_attr_dict_factory = CustomDictClass # type: ignore[assignment] + adjlist_outer_dict_factory = CustomDictClass # type: ignore[assignment] + adjlist_inner_dict_factory = CustomDictClass # type: ignore[assignment] + edge_key_dict_factory = CustomDictClass # type: ignore[assignment] + edge_attr_dict_factory = CustomDictClass # type: ignore[assignment] + graph_attr_dict_factory = CustomDictClass # type: ignore[assignment] + + +class TestMultiDiGraphSubclass(TestMultiDiGraph): + def setup_method(self): + self.Graph = MultiDiGraphSubClass + # build K3 + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._succ = self.K3.adjlist_outer_dict_factory( + { + 0: self.K3.adjlist_inner_dict_factory(), + 1: self.K3.adjlist_inner_dict_factory(), + 2: self.K3.adjlist_inner_dict_factory(), + } + ) + # K3._adj is synced with K3._succ + self.K3._pred = {0: {}, 1: {}, 2: {}} + for u in self.k3nodes: + for v in self.k3nodes: + if u == v: + continue + d = {0: {}} + self.K3._succ[u][v] = d + self.K3._pred[v][u] = d + self.K3._node = self.K3.node_dict_factory() + self.K3._node[0] = self.K3.node_attr_dict_factory() + self.K3._node[1] = self.K3.node_attr_dict_factory() + self.K3._node[2] = self.K3.node_attr_dict_factory() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_multigraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_multigraph.py new file mode 100644 index 0000000000000000000000000000000000000000..cd912d1d7c33c056b3c9808221bf7b72cd10fcac --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_multigraph.py @@ -0,0 +1,528 @@ +from collections import UserDict + +import pytest + +import networkx as nx +from networkx.utils import edges_equal + +from .test_graph import BaseAttrGraphTester +from .test_graph import TestGraph as _TestGraph + + +class BaseMultiGraphTester(BaseAttrGraphTester): + def test_has_edge(self): + G = self.K3 + assert G.has_edge(0, 1) + assert not G.has_edge(0, -1) + assert G.has_edge(0, 1, 0) + assert not G.has_edge(0, 1, 1) + + def test_get_edge_data(self): + G = self.K3 + assert G.get_edge_data(0, 1) == {0: {}} + assert G[0][1] == {0: {}} + assert G[0][1][0] == {} + assert G.get_edge_data(10, 20) is None + assert G.get_edge_data(0, 1, 0) == {} + + def test_adjacency(self): + G = self.K3 + assert dict(G.adjacency()) == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + + def deepcopy_edge_attr(self, H, G): + assert G[1][2][0]["foo"] == H[1][2][0]["foo"] + G[1][2][0]["foo"].append(1) + assert G[1][2][0]["foo"] != H[1][2][0]["foo"] + + def shallow_copy_edge_attr(self, H, G): + assert G[1][2][0]["foo"] == H[1][2][0]["foo"] + G[1][2][0]["foo"].append(1) + assert G[1][2][0]["foo"] == H[1][2][0]["foo"] + + def graphs_equal(self, H, G): + assert G._adj == H._adj + assert G._node == H._node + assert G.graph == H.graph + assert G.name == H.name + if not G.is_directed() and not H.is_directed(): + assert H._adj[1][2][0] is H._adj[2][1][0] + assert G._adj[1][2][0] is G._adj[2][1][0] + else: # at least one is directed + if not G.is_directed(): + G._pred = G._adj + G._succ = G._adj + if not H.is_directed(): + H._pred = H._adj + H._succ = H._adj + assert G._pred == H._pred + assert G._succ == H._succ + assert H._succ[1][2][0] is H._pred[2][1][0] + assert G._succ[1][2][0] is G._pred[2][1][0] + + def same_attrdict(self, H, G): + # same attrdict in the edgedata + old_foo = H[1][2][0]["foo"] + H.adj[1][2][0]["foo"] = "baz" + assert G._adj == H._adj + H.adj[1][2][0]["foo"] = old_foo + assert G._adj == H._adj + + old_foo = H.nodes[0]["foo"] + H.nodes[0]["foo"] = "baz" + assert G._node == H._node + H.nodes[0]["foo"] = old_foo + assert G._node == H._node + + def different_attrdict(self, H, G): + # used by graph_equal_but_different + old_foo = H[1][2][0]["foo"] + H.adj[1][2][0]["foo"] = "baz" + assert G._adj != H._adj + H.adj[1][2][0]["foo"] = old_foo + assert G._adj == H._adj + + old_foo = H.nodes[0]["foo"] + H.nodes[0]["foo"] = "baz" + assert G._node != H._node + H.nodes[0]["foo"] = old_foo + assert G._node == H._node + + def test_to_undirected(self): + G = self.K3 + self.add_attributes(G) + H = nx.MultiGraph(G) + self.is_shallow_copy(H, G) + H = G.to_undirected() + self.is_deepcopy(H, G) + + def test_to_directed(self): + G = self.K3 + self.add_attributes(G) + H = nx.MultiDiGraph(G) + self.is_shallow_copy(H, G) + H = G.to_directed() + self.is_deepcopy(H, G) + + def test_number_of_edges_selfloops(self): + G = self.K3 + G.add_edge(0, 0) + G.add_edge(0, 0) + G.add_edge(0, 0, key="parallel edge") + G.remove_edge(0, 0, key="parallel edge") + assert G.number_of_edges(0, 0) == 2 + G.remove_edge(0, 0) + assert G.number_of_edges(0, 0) == 1 + + def test_edge_lookup(self): + G = self.Graph() + G.add_edge(1, 2, foo="bar") + G.add_edge(1, 2, "key", foo="biz") + assert edges_equal(G.edges[1, 2, 0], {"foo": "bar"}) + assert edges_equal(G.edges[1, 2, "key"], {"foo": "biz"}) + + def test_edge_attr(self): + G = self.Graph() + G.add_edge(1, 2, key="k1", foo="bar") + G.add_edge(1, 2, key="k2", foo="baz") + assert isinstance(G.get_edge_data(1, 2), G.edge_key_dict_factory) + assert all( + isinstance(d, G.edge_attr_dict_factory) for u, v, d in G.edges(data=True) + ) + assert edges_equal( + G.edges(keys=True, data=True), + [(1, 2, "k1", {"foo": "bar"}), (1, 2, "k2", {"foo": "baz"})], + ) + assert edges_equal( + G.edges(keys=True, data="foo"), [(1, 2, "k1", "bar"), (1, 2, "k2", "baz")] + ) + + def test_edge_attr4(self): + G = self.Graph() + G.add_edge(1, 2, key=0, data=7, spam="bar", bar="foo") + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 7, "spam": "bar", "bar": "foo"})] + ) + G[1][2][0]["data"] = 10 # OK to set data like this + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 10, "spam": "bar", "bar": "foo"})] + ) + + G.adj[1][2][0]["data"] = 20 + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 20, "spam": "bar", "bar": "foo"})] + ) + G.edges[1, 2, 0]["data"] = 21 # another spelling, "edge" + assert edges_equal( + G.edges(data=True), [(1, 2, {"data": 21, "spam": "bar", "bar": "foo"})] + ) + G.adj[1][2][0]["listdata"] = [20, 200] + G.adj[1][2][0]["weight"] = 20 + assert edges_equal( + G.edges(data=True), + [ + ( + 1, + 2, + { + "data": 21, + "spam": "bar", + "bar": "foo", + "listdata": [20, 200], + "weight": 20, + }, + ) + ], + ) + + +class TestMultiGraph(BaseMultiGraphTester, _TestGraph): + def setup_method(self): + self.Graph = nx.MultiGraph + # build K3 + ed1, ed2, ed3 = ({0: {}}, {0: {}}, {0: {}}) + self.k3adj = {0: {1: ed1, 2: ed2}, 1: {0: ed1, 2: ed3}, 2: {0: ed2, 1: ed3}} + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._adj = self.k3adj + self.K3._node = {} + self.K3._node[0] = {} + self.K3._node[1] = {} + self.K3._node[2] = {} + + def test_data_input(self): + G = self.Graph({1: [2], 2: [1]}, name="test") + assert G.name == "test" + expected = [(1, {2: {0: {}}}), (2, {1: {0: {}}})] + assert sorted(G.adj.items()) == expected + + def test_data_multigraph_input(self): + # standard case with edge keys and edge data + edata0 = {"w": 200, "s": "foo"} + edata1 = {"w": 201, "s": "bar"} + keydict = {0: edata0, 1: edata1} + dododod = {"a": {"b": keydict}} + + multiple_edge = [("a", "b", 0, edata0), ("a", "b", 1, edata1)] + single_edge = [("a", "b", 0, keydict)] + + G = self.Graph(dododod, multigraph_input=True) + assert list(G.edges(keys=True, data=True)) == multiple_edge + G = self.Graph(dododod, multigraph_input=None) + assert list(G.edges(keys=True, data=True)) == multiple_edge + G = self.Graph(dododod, multigraph_input=False) + assert list(G.edges(keys=True, data=True)) == single_edge + + # test round-trip to_dict_of_dict and MultiGraph constructor + G = self.Graph(dododod, multigraph_input=True) + H = self.Graph(nx.to_dict_of_dicts(G)) + assert nx.is_isomorphic(G, H) is True # test that default is True + for mgi in [True, False]: + H = self.Graph(nx.to_dict_of_dicts(G), multigraph_input=mgi) + assert nx.is_isomorphic(G, H) == mgi + + # Set up cases for when incoming_graph_data is not multigraph_input + etraits = {"w": 200, "s": "foo"} + egraphics = {"color": "blue", "shape": "box"} + edata = {"traits": etraits, "graphics": egraphics} + dodod1 = {"a": {"b": edata}} + dodod2 = {"a": {"b": etraits}} + dodod3 = {"a": {"b": {"traits": etraits, "s": "foo"}}} + dol = {"a": ["b"]} + + multiple_edge = [("a", "b", "traits", etraits), ("a", "b", "graphics", egraphics)] + single_edge = [("a", "b", 0, {})] # type: ignore[var-annotated] + single_edge1 = [("a", "b", 0, edata)] + single_edge2 = [("a", "b", 0, etraits)] + single_edge3 = [("a", "b", 0, {"traits": etraits, "s": "foo"})] + + cases = [ # (dod, mgi, edges) + (dodod1, True, multiple_edge), + (dodod1, False, single_edge1), + (dodod2, False, single_edge2), + (dodod3, False, single_edge3), + (dol, False, single_edge), + ] + + @pytest.mark.parametrize("dod, mgi, edges", cases) + def test_non_multigraph_input(self, dod, mgi, edges): + G = self.Graph(dod, multigraph_input=mgi) + assert list(G.edges(keys=True, data=True)) == edges + G = nx.to_networkx_graph(dod, create_using=self.Graph, multigraph_input=mgi) + assert list(G.edges(keys=True, data=True)) == edges + + mgi_none_cases = [ + (dodod1, multiple_edge), + (dodod2, single_edge2), + (dodod3, single_edge3), + ] + + @pytest.mark.parametrize("dod, edges", mgi_none_cases) + def test_non_multigraph_input_mgi_none(self, dod, edges): + # test constructor without to_networkx_graph for mgi=None + G = self.Graph(dod) + assert list(G.edges(keys=True, data=True)) == edges + + raise_cases = [dodod2, dodod3, dol] + + @pytest.mark.parametrize("dod", raise_cases) + def test_non_multigraph_input_raise(self, dod): + # cases where NetworkXError is raised + pytest.raises(nx.NetworkXError, self.Graph, dod, multigraph_input=True) + pytest.raises( + nx.NetworkXError, + nx.to_networkx_graph, + dod, + create_using=self.Graph, + multigraph_input=True, + ) + + def test_getitem(self): + G = self.K3 + assert G[0] == {1: {0: {}}, 2: {0: {}}} + with pytest.raises(KeyError): + G.__getitem__("j") + with pytest.raises(TypeError): + G.__getitem__(["A"]) + + def test_remove_node(self): + G = self.K3 + G.remove_node(0) + assert G.adj == {1: {2: {0: {}}}, 2: {1: {0: {}}}} + with pytest.raises(nx.NetworkXError): + G.remove_node(-1) + + def test_add_edge(self): + G = self.Graph() + G.add_edge(0, 1) + assert G.adj == {0: {1: {0: {}}}, 1: {0: {0: {}}}} + G = self.Graph() + G.add_edge(*(0, 1)) + assert G.adj == {0: {1: {0: {}}}, 1: {0: {0: {}}}} + G = self.Graph() + with pytest.raises(ValueError): + G.add_edge(None, "anything") + + def test_add_edge_conflicting_key(self): + G = self.Graph() + G.add_edge(0, 1, key=1) + G.add_edge(0, 1) + assert G.number_of_edges() == 2 + G = self.Graph() + G.add_edges_from([(0, 1, 1, {})]) + G.add_edges_from([(0, 1)]) + assert G.number_of_edges() == 2 + + def test_add_edges_from(self): + G = self.Graph() + G.add_edges_from([(0, 1), (0, 1, {"weight": 3})]) + assert G.adj == { + 0: {1: {0: {}, 1: {"weight": 3}}}, + 1: {0: {0: {}, 1: {"weight": 3}}}, + } + G.add_edges_from([(0, 1), (0, 1, {"weight": 3})], weight=2) + assert G.adj == { + 0: {1: {0: {}, 1: {"weight": 3}, 2: {"weight": 2}, 3: {"weight": 3}}}, + 1: {0: {0: {}, 1: {"weight": 3}, 2: {"weight": 2}, 3: {"weight": 3}}}, + } + G = self.Graph() + edges = [ + (0, 1, {"weight": 3}), + (0, 1, (("weight", 2),)), + (0, 1, 5), + (0, 1, "s"), + ] + G.add_edges_from(edges) + keydict = {0: {"weight": 3}, 1: {"weight": 2}, 5: {}, "s": {}} + assert G._adj == {0: {1: keydict}, 1: {0: keydict}} + + # too few in tuple + with pytest.raises(nx.NetworkXError): + G.add_edges_from([(0,)]) + # too many in tuple + with pytest.raises(nx.NetworkXError): + G.add_edges_from([(0, 1, 2, 3, 4)]) + # not a tuple + with pytest.raises(TypeError): + G.add_edges_from([0]) + + def test_multigraph_add_edges_from_four_tuple_misordered(self): + """add_edges_from expects 4-tuples of the format (u, v, key, data_dict). + + Ensure 4-tuples of form (u, v, data_dict, key) raise exception. + """ + G = nx.MultiGraph() + with pytest.raises(TypeError): + # key/data values flipped in 4-tuple + G.add_edges_from([(0, 1, {"color": "red"}, 0)]) + + def test_remove_edge(self): + G = self.K3 + G.remove_edge(0, 1) + assert G.adj == {0: {2: {0: {}}}, 1: {2: {0: {}}}, 2: {0: {0: {}}, 1: {0: {}}}} + + with pytest.raises(nx.NetworkXError): + G.remove_edge(-1, 0) + with pytest.raises(nx.NetworkXError): + G.remove_edge(0, 2, key=1) + + def test_remove_edges_from(self): + G = self.K3.copy() + G.remove_edges_from([(0, 1)]) + kd = {0: {}} + assert G.adj == {0: {2: kd}, 1: {2: kd}, 2: {0: kd, 1: kd}} + G.remove_edges_from([(0, 0)]) # silent fail + self.K3.add_edge(0, 1) + G = self.K3.copy() + G.remove_edges_from(list(G.edges(data=True, keys=True))) + assert G.adj == {0: {}, 1: {}, 2: {}} + G = self.K3.copy() + G.remove_edges_from(list(G.edges(data=False, keys=True))) + assert G.adj == {0: {}, 1: {}, 2: {}} + G = self.K3.copy() + G.remove_edges_from(list(G.edges(data=False, keys=False))) + assert G.adj == {0: {}, 1: {}, 2: {}} + G = self.K3.copy() + G.remove_edges_from([(0, 1, 0), (0, 2, 0, {}), (1, 2)]) + assert G.adj == {0: {1: {1: {}}}, 1: {0: {1: {}}}, 2: {}} + + def test_remove_multiedge(self): + G = self.K3 + G.add_edge(0, 1, key="parallel edge") + G.remove_edge(0, 1, key="parallel edge") + assert G.adj == { + 0: {1: {0: {}}, 2: {0: {}}}, + 1: {0: {0: {}}, 2: {0: {}}}, + 2: {0: {0: {}}, 1: {0: {}}}, + } + G.remove_edge(0, 1) + kd = {0: {}} + assert G.adj == {0: {2: kd}, 1: {2: kd}, 2: {0: kd, 1: kd}} + with pytest.raises(nx.NetworkXError): + G.remove_edge(-1, 0) + + +class TestEdgeSubgraph: + """Unit tests for the :meth:`MultiGraph.edge_subgraph` method.""" + + def setup_method(self): + # Create a doubly-linked path graph on five nodes. + G = nx.MultiGraph() + nx.add_path(G, range(5)) + nx.add_path(G, range(5)) + # Add some node, edge, and graph attributes. + for i in range(5): + G.nodes[i]["name"] = f"node{i}" + G.adj[0][1][0]["name"] = "edge010" + G.adj[0][1][1]["name"] = "edge011" + G.adj[3][4][0]["name"] = "edge340" + G.adj[3][4][1]["name"] = "edge341" + G.graph["name"] = "graph" + # Get the subgraph induced by one of the first edges and one of + # the last edges. + self.G = G + self.H = G.edge_subgraph([(0, 1, 0), (3, 4, 1)]) + + def test_correct_nodes(self): + """Tests that the subgraph has the correct nodes.""" + assert [0, 1, 3, 4] == sorted(self.H.nodes()) + + def test_correct_edges(self): + """Tests that the subgraph has the correct edges.""" + assert [(0, 1, 0, "edge010"), (3, 4, 1, "edge341")] == sorted( + self.H.edges(keys=True, data="name") + ) + + def test_add_node(self): + """Tests that adding a node to the original graph does not + affect the nodes of the subgraph. + + """ + self.G.add_node(5) + assert [0, 1, 3, 4] == sorted(self.H.nodes()) + + def test_remove_node(self): + """Tests that removing a node in the original graph does + affect the nodes of the subgraph. + + """ + self.G.remove_node(0) + assert [1, 3, 4] == sorted(self.H.nodes()) + + def test_node_attr_dict(self): + """Tests that the node attribute dictionary of the two graphs is + the same object. + + """ + for v in self.H: + assert self.G.nodes[v] == self.H.nodes[v] + # Making a change to G should make a change in H and vice versa. + self.G.nodes[0]["name"] = "foo" + assert self.G.nodes[0] == self.H.nodes[0] + self.H.nodes[1]["name"] = "bar" + assert self.G.nodes[1] == self.H.nodes[1] + + def test_edge_attr_dict(self): + """Tests that the edge attribute dictionary of the two graphs is + the same object. + + """ + for u, v, k in self.H.edges(keys=True): + assert self.G._adj[u][v][k] == self.H._adj[u][v][k] + # Making a change to G should make a change in H and vice versa. + self.G._adj[0][1][0]["name"] = "foo" + assert self.G._adj[0][1][0]["name"] == self.H._adj[0][1][0]["name"] + self.H._adj[3][4][1]["name"] = "bar" + assert self.G._adj[3][4][1]["name"] == self.H._adj[3][4][1]["name"] + + def test_graph_attr_dict(self): + """Tests that the graph attribute dictionary of the two graphs + is the same object. + + """ + assert self.G.graph is self.H.graph + + +class CustomDictClass(UserDict): + pass + + +class MultiGraphSubClass(nx.MultiGraph): + node_dict_factory = CustomDictClass # type: ignore[assignment] + node_attr_dict_factory = CustomDictClass # type: ignore[assignment] + adjlist_outer_dict_factory = CustomDictClass # type: ignore[assignment] + adjlist_inner_dict_factory = CustomDictClass # type: ignore[assignment] + edge_key_dict_factory = CustomDictClass # type: ignore[assignment] + edge_attr_dict_factory = CustomDictClass # type: ignore[assignment] + graph_attr_dict_factory = CustomDictClass # type: ignore[assignment] + + +class TestMultiGraphSubclass(TestMultiGraph): + def setup_method(self): + self.Graph = MultiGraphSubClass + # build K3 + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._adj = self.K3.adjlist_outer_dict_factory( + { + 0: self.K3.adjlist_inner_dict_factory(), + 1: self.K3.adjlist_inner_dict_factory(), + 2: self.K3.adjlist_inner_dict_factory(), + } + ) + self.K3._pred = {0: {}, 1: {}, 2: {}} + for u in self.k3nodes: + for v in self.k3nodes: + if u != v: + d = {0: {}} + self.K3._adj[u][v] = d + self.K3._adj[v][u] = d + self.K3._node = self.K3.node_dict_factory() + self.K3._node[0] = self.K3.node_attr_dict_factory() + self.K3._node[1] = self.K3.node_attr_dict_factory() + self.K3._node[2] = self.K3.node_attr_dict_factory() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_reportviews.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_reportviews.py new file mode 100644 index 0000000000000000000000000000000000000000..789c829f4b05fa71eff384a05ad071bc7fdebd9f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_reportviews.py @@ -0,0 +1,1435 @@ +import pickle +from copy import deepcopy + +import pytest + +import networkx as nx +from networkx.classes import reportviews as rv +from networkx.classes.reportviews import NodeDataView + + +# Nodes +class TestNodeView: + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.nv = cls.G.nodes # NodeView(G) + + def test_pickle(self): + import pickle + + nv = self.nv + pnv = pickle.loads(pickle.dumps(nv, -1)) + assert nv == pnv + assert nv.__slots__ == pnv.__slots__ + + def test_str(self): + assert str(self.nv) == "[0, 1, 2, 3, 4, 5, 6, 7, 8]" + + def test_repr(self): + assert repr(self.nv) == "NodeView((0, 1, 2, 3, 4, 5, 6, 7, 8))" + + def test_contains(self): + G = self.G.copy() + nv = G.nodes + assert 7 in nv + assert 9 not in nv + G.remove_node(7) + G.add_node(9) + assert 7 not in nv + assert 9 in nv + + def test_getitem(self): + G = self.G.copy() + nv = G.nodes + G.nodes[3]["foo"] = "bar" + assert nv[7] == {} + assert nv[3] == {"foo": "bar"} + # slicing + with pytest.raises(nx.NetworkXError): + G.nodes[0:5] + + def test_iter(self): + nv = self.nv + for i, n in enumerate(nv): + assert i == n + inv = iter(nv) + assert next(inv) == 0 + assert iter(nv) != nv + assert iter(inv) == inv + inv2 = iter(nv) + next(inv2) + assert list(inv) == list(inv2) + # odd case where NodeView calls NodeDataView with data=False + nnv = nv(data=False) + for i, n in enumerate(nnv): + assert i == n + + def test_call(self): + nodes = self.nv + assert nodes is nodes() + assert nodes is not nodes(data=True) + assert nodes is not nodes(data="weight") + + +class TestNodeDataView: + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.nv = NodeDataView(cls.G) + cls.ndv = cls.G.nodes.data(True) + cls.nwv = cls.G.nodes.data("foo") + + def test_viewtype(self): + nv = self.G.nodes + ndvfalse = nv.data(False) + assert nv is ndvfalse + assert nv is not self.ndv + + def test_pickle(self): + import pickle + + nv = self.nv + pnv = pickle.loads(pickle.dumps(nv, -1)) + assert nv == pnv + assert nv.__slots__ == pnv.__slots__ + + def test_str(self): + msg = str([(n, {}) for n in range(9)]) + assert str(self.ndv) == msg + + def test_repr(self): + expected = "NodeDataView((0, 1, 2, 3, 4, 5, 6, 7, 8))" + assert repr(self.nv) == expected + expected = ( + "NodeDataView({0: {}, 1: {}, 2: {}, 3: {}, " + + "4: {}, 5: {}, 6: {}, 7: {}, 8: {}})" + ) + assert repr(self.ndv) == expected + expected = ( + "NodeDataView({0: None, 1: None, 2: None, 3: None, 4: None, " + + "5: None, 6: None, 7: None, 8: None}, data='foo')" + ) + assert repr(self.nwv) == expected + + def test_contains(self): + G = self.G.copy() + nv = G.nodes.data() + nwv = G.nodes.data("foo") + G.nodes[3]["foo"] = "bar" + assert (7, {}) in nv + assert (3, {"foo": "bar"}) in nv + assert (3, "bar") in nwv + assert (7, None) in nwv + # default + nwv_def = G.nodes(data="foo", default="biz") + assert (7, "biz") in nwv_def + assert (3, "bar") in nwv_def + + def test_getitem(self): + G = self.G.copy() + nv = G.nodes + G.nodes[3]["foo"] = "bar" + assert nv[3] == {"foo": "bar"} + # default + nwv_def = G.nodes(data="foo", default="biz") + assert nwv_def[7], "biz" + assert nwv_def[3] == "bar" + # slicing + with pytest.raises(nx.NetworkXError): + G.nodes.data()[0:5] + + def test_iter(self): + G = self.G.copy() + nv = G.nodes.data() + ndv = G.nodes.data(True) + nwv = G.nodes.data("foo") + for i, (n, d) in enumerate(nv): + assert i == n + assert d == {} + inv = iter(nv) + assert next(inv) == (0, {}) + G.nodes[3]["foo"] = "bar" + # default + for n, d in nv: + if n == 3: + assert d == {"foo": "bar"} + else: + assert d == {} + # data=True + for n, d in ndv: + if n == 3: + assert d == {"foo": "bar"} + else: + assert d == {} + # data='foo' + for n, d in nwv: + if n == 3: + assert d == "bar" + else: + assert d is None + # data='foo', default=1 + for n, d in G.nodes.data("foo", default=1): + if n == 3: + assert d == "bar" + else: + assert d == 1 + + +def test_nodedataview_unhashable(): + G = nx.path_graph(9) + G.nodes[3]["foo"] = "bar" + nvs = [G.nodes.data()] + nvs.append(G.nodes.data(True)) + H = G.copy() + H.nodes[4]["foo"] = {1, 2, 3} + nvs.append(H.nodes.data(True)) + # raise unhashable + for nv in nvs: + pytest.raises(TypeError, set, nv) + pytest.raises(TypeError, eval, "nv | nv", locals()) + # no raise... hashable + Gn = G.nodes.data(False) + set(Gn) + Gn | Gn + Gn = G.nodes.data("foo") + set(Gn) + Gn | Gn + + +class TestNodeViewSetOps: + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.G.nodes[3]["foo"] = "bar" + cls.nv = cls.G.nodes + + def n_its(self, nodes): + return set(nodes) + + def test_len(self): + G = self.G.copy() + nv = G.nodes + assert len(nv) == 9 + G.remove_node(7) + assert len(nv) == 8 + G.add_node(9) + assert len(nv) == 9 + + def test_and(self): + # print("G & H nodes:", gnv & hnv) + nv = self.nv + some_nodes = self.n_its(range(5, 12)) + assert nv & some_nodes == self.n_its(range(5, 9)) + assert some_nodes & nv == self.n_its(range(5, 9)) + + def test_or(self): + # print("G | H nodes:", gnv | hnv) + nv = self.nv + some_nodes = self.n_its(range(5, 12)) + assert nv | some_nodes == self.n_its(range(12)) + assert some_nodes | nv == self.n_its(range(12)) + + def test_xor(self): + # print("G ^ H nodes:", gnv ^ hnv) + nv = self.nv + some_nodes = self.n_its(range(5, 12)) + nodes = {0, 1, 2, 3, 4, 9, 10, 11} + assert nv ^ some_nodes == self.n_its(nodes) + assert some_nodes ^ nv == self.n_its(nodes) + + def test_sub(self): + # print("G - H nodes:", gnv - hnv) + nv = self.nv + some_nodes = self.n_its(range(5, 12)) + assert nv - some_nodes == self.n_its(range(5)) + assert some_nodes - nv == self.n_its(range(9, 12)) + + +class TestNodeDataViewSetOps(TestNodeViewSetOps): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.G.nodes[3]["foo"] = "bar" + cls.nv = cls.G.nodes.data("foo") + + def n_its(self, nodes): + return {(node, "bar" if node == 3 else None) for node in nodes} + + +class TestNodeDataViewDefaultSetOps(TestNodeDataViewSetOps): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.G.nodes[3]["foo"] = "bar" + cls.nv = cls.G.nodes.data("foo", default=1) + + def n_its(self, nodes): + return {(node, "bar" if node == 3 else 1) for node in nodes} + + +# Edges Data View +class TestEdgeDataView: + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.eview = nx.reportviews.EdgeView + + def test_pickle(self): + import pickle + + ev = self.eview(self.G)(data=True) + pev = pickle.loads(pickle.dumps(ev, -1)) + assert list(ev) == list(pev) + assert ev.__slots__ == pev.__slots__ + + def modify_edge(self, G, e, **kwds): + G._adj[e[0]][e[1]].update(kwds) + + def test_str(self): + ev = self.eview(self.G)(data=True) + rep = str([(n, n + 1, {}) for n in range(8)]) + assert str(ev) == rep + + def test_repr(self): + ev = self.eview(self.G)(data=True) + rep = ( + "EdgeDataView([(0, 1, {}), (1, 2, {}), " + + "(2, 3, {}), (3, 4, {}), " + + "(4, 5, {}), (5, 6, {}), " + + "(6, 7, {}), (7, 8, {})])" + ) + assert repr(ev) == rep + + def test_iterdata(self): + G = self.G.copy() + evr = self.eview(G) + ev = evr(data=True) + ev_def = evr(data="foo", default=1) + + for u, v, d in ev: + pass + assert d == {} + + for u, v, wt in ev_def: + pass + assert wt == 1 + + self.modify_edge(G, (2, 3), foo="bar") + for e in ev: + assert len(e) == 3 + if set(e[:2]) == {2, 3}: + assert e[2] == {"foo": "bar"} + checked = True + else: + assert e[2] == {} + assert checked + + for e in ev_def: + assert len(e) == 3 + if set(e[:2]) == {2, 3}: + assert e[2] == "bar" + checked_wt = True + else: + assert e[2] == 1 + assert checked_wt + + def test_iter(self): + evr = self.eview(self.G) + ev = evr() + for u, v in ev: + pass + iev = iter(ev) + assert next(iev) == (0, 1) + assert iter(ev) != ev + assert iter(iev) == iev + + def test_contains(self): + evr = self.eview(self.G) + ev = evr() + if self.G.is_directed(): + assert (1, 2) in ev and (2, 1) not in ev + else: + assert (1, 2) in ev and (2, 1) in ev + assert (1, 4) not in ev + assert (1, 90) not in ev + assert (90, 1) not in ev + + def test_contains_with_nbunch(self): + evr = self.eview(self.G) + ev = evr(nbunch=[0, 2]) + if self.G.is_directed(): + assert (0, 1) in ev + assert (1, 2) not in ev + assert (2, 3) in ev + else: + assert (0, 1) in ev + assert (1, 2) in ev + assert (2, 3) in ev + assert (3, 4) not in ev + assert (4, 5) not in ev + assert (5, 6) not in ev + assert (7, 8) not in ev + assert (8, 9) not in ev + + def test_len(self): + evr = self.eview(self.G) + ev = evr(data="foo") + assert len(ev) == 8 + assert len(evr(1)) == 2 + assert len(evr([1, 2, 3])) == 4 + + assert len(self.G.edges(1)) == 2 + assert len(self.G.edges()) == 8 + assert len(self.G.edges) == 8 + + H = self.G.copy() + H.add_edge(1, 1) + assert len(H.edges(1)) == 3 + assert len(H.edges()) == 9 + assert len(H.edges) == 9 + + +class TestOutEdgeDataView(TestEdgeDataView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, create_using=nx.DiGraph()) + cls.eview = nx.reportviews.OutEdgeView + + def test_repr(self): + ev = self.eview(self.G)(data=True) + rep = ( + "OutEdgeDataView([(0, 1, {}), (1, 2, {}), " + + "(2, 3, {}), (3, 4, {}), " + + "(4, 5, {}), (5, 6, {}), " + + "(6, 7, {}), (7, 8, {})])" + ) + assert repr(ev) == rep + + def test_len(self): + evr = self.eview(self.G) + ev = evr(data="foo") + assert len(ev) == 8 + assert len(evr(1)) == 1 + assert len(evr([1, 2, 3])) == 3 + + assert len(self.G.edges(1)) == 1 + assert len(self.G.edges()) == 8 + assert len(self.G.edges) == 8 + + H = self.G.copy() + H.add_edge(1, 1) + assert len(H.edges(1)) == 2 + assert len(H.edges()) == 9 + assert len(H.edges) == 9 + + def test_contains_with_nbunch(self): + evr = self.eview(self.G) + ev = evr(nbunch=[0, 2]) + assert (0, 1) in ev + assert (1, 2) not in ev + assert (2, 3) in ev + assert (3, 4) not in ev + assert (4, 5) not in ev + assert (5, 6) not in ev + assert (7, 8) not in ev + assert (8, 9) not in ev + + +class TestInEdgeDataView(TestOutEdgeDataView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, create_using=nx.DiGraph()) + cls.eview = nx.reportviews.InEdgeView + + def test_repr(self): + ev = self.eview(self.G)(data=True) + rep = ( + "InEdgeDataView([(0, 1, {}), (1, 2, {}), " + + "(2, 3, {}), (3, 4, {}), " + + "(4, 5, {}), (5, 6, {}), " + + "(6, 7, {}), (7, 8, {})])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + evr = self.eview(self.G) + ev = evr(nbunch=[0, 2]) + assert (0, 1) not in ev + assert (1, 2) in ev + assert (2, 3) not in ev + assert (3, 4) not in ev + assert (4, 5) not in ev + assert (5, 6) not in ev + assert (7, 8) not in ev + assert (8, 9) not in ev + + +class TestMultiEdgeDataView(TestEdgeDataView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, create_using=nx.MultiGraph()) + cls.eview = nx.reportviews.MultiEdgeView + + def modify_edge(self, G, e, **kwds): + G._adj[e[0]][e[1]][0].update(kwds) + + def test_repr(self): + ev = self.eview(self.G)(data=True) + rep = ( + "MultiEdgeDataView([(0, 1, {}), (1, 2, {}), " + + "(2, 3, {}), (3, 4, {}), " + + "(4, 5, {}), (5, 6, {}), " + + "(6, 7, {}), (7, 8, {})])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + evr = self.eview(self.G) + ev = evr(nbunch=[0, 2]) + assert (0, 1) in ev + assert (1, 2) in ev + assert (2, 3) in ev + assert (3, 4) not in ev + assert (4, 5) not in ev + assert (5, 6) not in ev + assert (7, 8) not in ev + assert (8, 9) not in ev + + +class TestOutMultiEdgeDataView(TestOutEdgeDataView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, create_using=nx.MultiDiGraph()) + cls.eview = nx.reportviews.OutMultiEdgeView + + def modify_edge(self, G, e, **kwds): + G._adj[e[0]][e[1]][0].update(kwds) + + def test_repr(self): + ev = self.eview(self.G)(data=True) + rep = ( + "OutMultiEdgeDataView([(0, 1, {}), (1, 2, {}), " + + "(2, 3, {}), (3, 4, {}), " + + "(4, 5, {}), (5, 6, {}), " + + "(6, 7, {}), (7, 8, {})])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + evr = self.eview(self.G) + ev = evr(nbunch=[0, 2]) + assert (0, 1) in ev + assert (1, 2) not in ev + assert (2, 3) in ev + assert (3, 4) not in ev + assert (4, 5) not in ev + assert (5, 6) not in ev + assert (7, 8) not in ev + assert (8, 9) not in ev + + +class TestInMultiEdgeDataView(TestOutMultiEdgeDataView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, create_using=nx.MultiDiGraph()) + cls.eview = nx.reportviews.InMultiEdgeView + + def test_repr(self): + ev = self.eview(self.G)(data=True) + rep = ( + "InMultiEdgeDataView([(0, 1, {}), (1, 2, {}), " + + "(2, 3, {}), (3, 4, {}), " + + "(4, 5, {}), (5, 6, {}), " + + "(6, 7, {}), (7, 8, {})])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + evr = self.eview(self.G) + ev = evr(nbunch=[0, 2]) + assert (0, 1) not in ev + assert (1, 2) in ev + assert (2, 3) not in ev + assert (3, 4) not in ev + assert (4, 5) not in ev + assert (5, 6) not in ev + assert (7, 8) not in ev + assert (8, 9) not in ev + + +# Edge Views +class TestEdgeView: + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9) + cls.eview = nx.reportviews.EdgeView + + def test_pickle(self): + import pickle + + ev = self.eview(self.G) + pev = pickle.loads(pickle.dumps(ev, -1)) + assert ev == pev + assert ev.__slots__ == pev.__slots__ + + def modify_edge(self, G, e, **kwds): + G._adj[e[0]][e[1]].update(kwds) + + def test_str(self): + ev = self.eview(self.G) + rep = str([(n, n + 1) for n in range(8)]) + assert str(ev) == rep + + def test_repr(self): + ev = self.eview(self.G) + rep = ( + "EdgeView([(0, 1), (1, 2), (2, 3), (3, 4), " + + "(4, 5), (5, 6), (6, 7), (7, 8)])" + ) + assert repr(ev) == rep + + def test_getitem(self): + G = self.G.copy() + ev = G.edges + G.edges[0, 1]["foo"] = "bar" + assert ev[0, 1] == {"foo": "bar"} + + # slicing + with pytest.raises(nx.NetworkXError, match=".*does not support slicing"): + G.edges[0:5] + + # Invalid edge + with pytest.raises(KeyError, match=r".*edge.*is not in the graph."): + G.edges[0, 9] + + def test_call(self): + ev = self.eview(self.G) + assert id(ev) == id(ev()) + assert id(ev) == id(ev(data=False)) + assert id(ev) != id(ev(data=True)) + assert id(ev) != id(ev(nbunch=1)) + + def test_data(self): + ev = self.eview(self.G) + assert id(ev) != id(ev.data()) + assert id(ev) == id(ev.data(data=False)) + assert id(ev) != id(ev.data(data=True)) + assert id(ev) != id(ev.data(nbunch=1)) + + def test_iter(self): + ev = self.eview(self.G) + for u, v in ev: + pass + iev = iter(ev) + assert next(iev) == (0, 1) + assert iter(ev) != ev + assert iter(iev) == iev + + def test_contains(self): + ev = self.eview(self.G) + edv = ev() + if self.G.is_directed(): + assert (1, 2) in ev and (2, 1) not in ev + assert (1, 2) in edv and (2, 1) not in edv + else: + assert (1, 2) in ev and (2, 1) in ev + assert (1, 2) in edv and (2, 1) in edv + assert (1, 4) not in ev + assert (1, 4) not in edv + # edge not in graph + assert (1, 90) not in ev + assert (90, 1) not in ev + assert (1, 90) not in edv + assert (90, 1) not in edv + + def test_contains_with_nbunch(self): + ev = self.eview(self.G) + evn = ev(nbunch=[0, 2]) + assert (0, 1) in evn + assert (1, 2) in evn + assert (2, 3) in evn + assert (3, 4) not in evn + assert (4, 5) not in evn + assert (5, 6) not in evn + assert (7, 8) not in evn + assert (8, 9) not in evn + + def test_len(self): + ev = self.eview(self.G) + num_ed = 9 if self.G.is_multigraph() else 8 + assert len(ev) == num_ed + + H = self.G.copy() + H.add_edge(1, 1) + assert len(H.edges(1)) == 3 + H.is_multigraph() - H.is_directed() + assert len(H.edges()) == num_ed + 1 + assert len(H.edges) == num_ed + 1 + + def test_and(self): + # print("G & H edges:", gnv & hnv) + ev = self.eview(self.G) + some_edges = {(0, 1), (1, 0), (0, 2)} + if self.G.is_directed(): + assert some_edges & ev, {(0, 1)} + assert ev & some_edges, {(0, 1)} + else: + assert ev & some_edges == {(0, 1), (1, 0)} + assert some_edges & ev == {(0, 1), (1, 0)} + return + + def test_or(self): + # print("G | H edges:", gnv | hnv) + ev = self.eview(self.G) + some_edges = {(0, 1), (1, 0), (0, 2)} + result1 = {(n, n + 1) for n in range(8)} + result1.update(some_edges) + result2 = {(n + 1, n) for n in range(8)} + result2.update(some_edges) + assert (ev | some_edges) in (result1, result2) + assert (some_edges | ev) in (result1, result2) + + def test_xor(self): + # print("G ^ H edges:", gnv ^ hnv) + ev = self.eview(self.G) + some_edges = {(0, 1), (1, 0), (0, 2)} + if self.G.is_directed(): + result = {(n, n + 1) for n in range(1, 8)} + result.update({(1, 0), (0, 2)}) + assert ev ^ some_edges == result + else: + result = {(n, n + 1) for n in range(1, 8)} + result.update({(0, 2)}) + assert ev ^ some_edges == result + return + + def test_sub(self): + # print("G - H edges:", gnv - hnv) + ev = self.eview(self.G) + some_edges = {(0, 1), (1, 0), (0, 2)} + result = {(n, n + 1) for n in range(8)} + result.remove((0, 1)) + assert ev - some_edges, result + + +class TestOutEdgeView(TestEdgeView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, nx.DiGraph()) + cls.eview = nx.reportviews.OutEdgeView + + def test_repr(self): + ev = self.eview(self.G) + rep = ( + "OutEdgeView([(0, 1), (1, 2), (2, 3), (3, 4), " + + "(4, 5), (5, 6), (6, 7), (7, 8)])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + ev = self.eview(self.G) + evn = ev(nbunch=[0, 2]) + assert (0, 1) in evn + assert (1, 2) not in evn + assert (2, 3) in evn + assert (3, 4) not in evn + assert (4, 5) not in evn + assert (5, 6) not in evn + assert (7, 8) not in evn + assert (8, 9) not in evn + + +class TestInEdgeView(TestEdgeView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, nx.DiGraph()) + cls.eview = nx.reportviews.InEdgeView + + def test_repr(self): + ev = self.eview(self.G) + rep = ( + "InEdgeView([(0, 1), (1, 2), (2, 3), (3, 4), " + + "(4, 5), (5, 6), (6, 7), (7, 8)])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + ev = self.eview(self.G) + evn = ev(nbunch=[0, 2]) + assert (0, 1) not in evn + assert (1, 2) in evn + assert (2, 3) not in evn + assert (3, 4) not in evn + assert (4, 5) not in evn + assert (5, 6) not in evn + assert (7, 8) not in evn + assert (8, 9) not in evn + + +class TestMultiEdgeView(TestEdgeView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, nx.MultiGraph()) + cls.G.add_edge(1, 2, key=3, foo="bar") + cls.eview = nx.reportviews.MultiEdgeView + + def modify_edge(self, G, e, **kwds): + if len(e) == 2: + e = e + (0,) + G._adj[e[0]][e[1]][e[2]].update(kwds) + + def test_str(self): + ev = self.eview(self.G) + replist = [(n, n + 1, 0) for n in range(8)] + replist.insert(2, (1, 2, 3)) + rep = str(replist) + assert str(ev) == rep + + def test_getitem(self): + G = self.G.copy() + ev = G.edges + G.edges[0, 1, 0]["foo"] = "bar" + assert ev[0, 1, 0] == {"foo": "bar"} + + # slicing + with pytest.raises(nx.NetworkXError): + G.edges[0:5] + + def test_repr(self): + ev = self.eview(self.G) + rep = ( + "MultiEdgeView([(0, 1, 0), (1, 2, 0), (1, 2, 3), (2, 3, 0), " + + "(3, 4, 0), (4, 5, 0), (5, 6, 0), (6, 7, 0), (7, 8, 0)])" + ) + assert repr(ev) == rep + + def test_call(self): + ev = self.eview(self.G) + assert id(ev) == id(ev(keys=True)) + assert id(ev) == id(ev(data=False, keys=True)) + assert id(ev) != id(ev(keys=False)) + assert id(ev) != id(ev(data=True)) + assert id(ev) != id(ev(nbunch=1)) + + def test_data(self): + ev = self.eview(self.G) + assert id(ev) != id(ev.data()) + assert id(ev) == id(ev.data(data=False, keys=True)) + assert id(ev) != id(ev.data(keys=False)) + assert id(ev) != id(ev.data(data=True)) + assert id(ev) != id(ev.data(nbunch=1)) + + def test_iter(self): + ev = self.eview(self.G) + for u, v, k in ev: + pass + iev = iter(ev) + assert next(iev) == (0, 1, 0) + assert iter(ev) != ev + assert iter(iev) == iev + + def test_iterkeys(self): + G = self.G + evr = self.eview(G) + ev = evr(keys=True) + for u, v, k in ev: + pass + assert k == 0 + ev = evr(keys=True, data="foo", default=1) + for u, v, k, wt in ev: + pass + assert wt == 1 + + self.modify_edge(G, (2, 3, 0), foo="bar") + ev = evr(keys=True, data=True) + for e in ev: + assert len(e) == 4 + print("edge:", e) + if set(e[:2]) == {2, 3}: + print(self.G._adj[2][3]) + assert e[2] == 0 + assert e[3] == {"foo": "bar"} + checked = True + elif set(e[:3]) == {1, 2, 3}: + assert e[2] == 3 + assert e[3] == {"foo": "bar"} + checked_multi = True + else: + assert e[2] == 0 + assert e[3] == {} + assert checked + assert checked_multi + ev = evr(keys=True, data="foo", default=1) + for e in ev: + if set(e[:2]) == {1, 2} and e[2] == 3: + assert e[3] == "bar" + if set(e[:2]) == {1, 2} and e[2] == 0: + assert e[3] == 1 + if set(e[:2]) == {2, 3}: + assert e[2] == 0 + assert e[3] == "bar" + assert len(e) == 4 + checked_wt = True + assert checked_wt + ev = evr(keys=True) + for e in ev: + assert len(e) == 3 + elist = sorted([(i, i + 1, 0) for i in range(8)] + [(1, 2, 3)]) + assert sorted(ev) == elist + # test that the keyword arguments are passed correctly + ev = evr((1, 2), "foo", keys=True, default=1) + with pytest.raises(TypeError): + evr((1, 2), "foo", True, 1) + with pytest.raises(TypeError): + evr((1, 2), "foo", True, default=1) + for e in ev: + if set(e[:2]) == {1, 2}: + assert e[2] in {0, 3} + if e[2] == 3: + assert e[3] == "bar" + else: # e[2] == 0 + assert e[3] == 1 + if G.is_directed(): + assert len(list(ev)) == 3 + else: + assert len(list(ev)) == 4 + + def test_or(self): + # print("G | H edges:", gnv | hnv) + ev = self.eview(self.G) + some_edges = {(0, 1, 0), (1, 0, 0), (0, 2, 0)} + result = {(n, n + 1, 0) for n in range(8)} + result.update(some_edges) + result.update({(1, 2, 3)}) + assert ev | some_edges == result + assert some_edges | ev == result + + def test_sub(self): + # print("G - H edges:", gnv - hnv) + ev = self.eview(self.G) + some_edges = {(0, 1, 0), (1, 0, 0), (0, 2, 0)} + result = {(n, n + 1, 0) for n in range(8)} + result.remove((0, 1, 0)) + result.update({(1, 2, 3)}) + assert ev - some_edges, result + assert some_edges - ev, result + + def test_xor(self): + # print("G ^ H edges:", gnv ^ hnv) + ev = self.eview(self.G) + some_edges = {(0, 1, 0), (1, 0, 0), (0, 2, 0)} + if self.G.is_directed(): + result = {(n, n + 1, 0) for n in range(1, 8)} + result.update({(1, 0, 0), (0, 2, 0), (1, 2, 3)}) + assert ev ^ some_edges == result + assert some_edges ^ ev == result + else: + result = {(n, n + 1, 0) for n in range(1, 8)} + result.update({(0, 2, 0), (1, 2, 3)}) + assert ev ^ some_edges == result + assert some_edges ^ ev == result + + def test_and(self): + # print("G & H edges:", gnv & hnv) + ev = self.eview(self.G) + some_edges = {(0, 1, 0), (1, 0, 0), (0, 2, 0)} + if self.G.is_directed(): + assert ev & some_edges == {(0, 1, 0)} + assert some_edges & ev == {(0, 1, 0)} + else: + assert ev & some_edges == {(0, 1, 0), (1, 0, 0)} + assert some_edges & ev == {(0, 1, 0), (1, 0, 0)} + + def test_contains_with_nbunch(self): + ev = self.eview(self.G) + evn = ev(nbunch=[0, 2]) + assert (0, 1) in evn + assert (1, 2) in evn + assert (2, 3) in evn + assert (3, 4) not in evn + assert (4, 5) not in evn + assert (5, 6) not in evn + assert (7, 8) not in evn + assert (8, 9) not in evn + + +class TestOutMultiEdgeView(TestMultiEdgeView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, nx.MultiDiGraph()) + cls.G.add_edge(1, 2, key=3, foo="bar") + cls.eview = nx.reportviews.OutMultiEdgeView + + def modify_edge(self, G, e, **kwds): + if len(e) == 2: + e = e + (0,) + G._adj[e[0]][e[1]][e[2]].update(kwds) + + def test_repr(self): + ev = self.eview(self.G) + rep = ( + "OutMultiEdgeView([(0, 1, 0), (1, 2, 0), (1, 2, 3), (2, 3, 0)," + + " (3, 4, 0), (4, 5, 0), (5, 6, 0), (6, 7, 0), (7, 8, 0)])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + ev = self.eview(self.G) + evn = ev(nbunch=[0, 2]) + assert (0, 1) in evn + assert (1, 2) not in evn + assert (2, 3) in evn + assert (3, 4) not in evn + assert (4, 5) not in evn + assert (5, 6) not in evn + assert (7, 8) not in evn + assert (8, 9) not in evn + + +class TestInMultiEdgeView(TestMultiEdgeView): + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, nx.MultiDiGraph()) + cls.G.add_edge(1, 2, key=3, foo="bar") + cls.eview = nx.reportviews.InMultiEdgeView + + def modify_edge(self, G, e, **kwds): + if len(e) == 2: + e = e + (0,) + G._adj[e[0]][e[1]][e[2]].update(kwds) + + def test_repr(self): + ev = self.eview(self.G) + rep = ( + "InMultiEdgeView([(0, 1, 0), (1, 2, 0), (1, 2, 3), (2, 3, 0), " + + "(3, 4, 0), (4, 5, 0), (5, 6, 0), (6, 7, 0), (7, 8, 0)])" + ) + assert repr(ev) == rep + + def test_contains_with_nbunch(self): + ev = self.eview(self.G) + evn = ev(nbunch=[0, 2]) + assert (0, 1) not in evn + assert (1, 2) in evn + assert (2, 3) not in evn + assert (3, 4) not in evn + assert (4, 5) not in evn + assert (5, 6) not in evn + assert (7, 8) not in evn + assert (8, 9) not in evn + + +# Degrees +class TestDegreeView: + GRAPH = nx.Graph + dview = nx.reportviews.DegreeView + + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(6, cls.GRAPH()) + cls.G.add_edge(1, 3, foo=2) + cls.G.add_edge(1, 3, foo=3) + + def test_pickle(self): + import pickle + + deg = self.G.degree + pdeg = pickle.loads(pickle.dumps(deg, -1)) + assert dict(deg) == dict(pdeg) + + def test_str(self): + dv = self.dview(self.G) + rep = str([(0, 1), (1, 3), (2, 2), (3, 3), (4, 2), (5, 1)]) + assert str(dv) == rep + dv = self.G.degree() + assert str(dv) == rep + + def test_repr(self): + dv = self.dview(self.G) + rep = "DegreeView({0: 1, 1: 3, 2: 2, 3: 3, 4: 2, 5: 1})" + assert repr(dv) == rep + + def test_iter(self): + dv = self.dview(self.G) + for n, d in dv: + pass + idv = iter(dv) + assert iter(dv) != dv + assert iter(idv) == idv + assert next(idv) == (0, dv[0]) + assert next(idv) == (1, dv[1]) + # weighted + dv = self.dview(self.G, weight="foo") + for n, d in dv: + pass + idv = iter(dv) + assert iter(dv) != dv + assert iter(idv) == idv + assert next(idv) == (0, dv[0]) + assert next(idv) == (1, dv[1]) + + def test_nbunch(self): + dv = self.dview(self.G) + dvn = dv(0) + assert dvn == 1 + dvn = dv([2, 3]) + assert sorted(dvn) == [(2, 2), (3, 3)] + + def test_getitem(self): + dv = self.dview(self.G) + assert dv[0] == 1 + assert dv[1] == 3 + assert dv[2] == 2 + assert dv[3] == 3 + dv = self.dview(self.G, weight="foo") + assert dv[0] == 1 + assert dv[1] == 5 + assert dv[2] == 2 + assert dv[3] == 5 + + def test_weight(self): + dv = self.dview(self.G) + dvw = dv(0, weight="foo") + assert dvw == 1 + dvw = dv(1, weight="foo") + assert dvw == 5 + dvw = dv([2, 3], weight="foo") + assert sorted(dvw) == [(2, 2), (3, 5)] + dvd = dict(dv(weight="foo")) + assert dvd[0] == 1 + assert dvd[1] == 5 + assert dvd[2] == 2 + assert dvd[3] == 5 + + def test_len(self): + dv = self.dview(self.G) + assert len(dv) == 6 + + +class TestDiDegreeView(TestDegreeView): + GRAPH = nx.DiGraph + dview = nx.reportviews.DiDegreeView + + def test_repr(self): + dv = self.G.degree() + rep = "DiDegreeView({0: 1, 1: 3, 2: 2, 3: 3, 4: 2, 5: 1})" + assert repr(dv) == rep + + +class TestOutDegreeView(TestDegreeView): + GRAPH = nx.DiGraph + dview = nx.reportviews.OutDegreeView + + def test_str(self): + dv = self.dview(self.G) + rep = str([(0, 1), (1, 2), (2, 1), (3, 1), (4, 1), (5, 0)]) + assert str(dv) == rep + dv = self.G.out_degree() + assert str(dv) == rep + + def test_repr(self): + dv = self.G.out_degree() + rep = "OutDegreeView({0: 1, 1: 2, 2: 1, 3: 1, 4: 1, 5: 0})" + assert repr(dv) == rep + + def test_nbunch(self): + dv = self.dview(self.G) + dvn = dv(0) + assert dvn == 1 + dvn = dv([2, 3]) + assert sorted(dvn) == [(2, 1), (3, 1)] + + def test_getitem(self): + dv = self.dview(self.G) + assert dv[0] == 1 + assert dv[1] == 2 + assert dv[2] == 1 + assert dv[3] == 1 + dv = self.dview(self.G, weight="foo") + assert dv[0] == 1 + assert dv[1] == 4 + assert dv[2] == 1 + assert dv[3] == 1 + + def test_weight(self): + dv = self.dview(self.G) + dvw = dv(0, weight="foo") + assert dvw == 1 + dvw = dv(1, weight="foo") + assert dvw == 4 + dvw = dv([2, 3], weight="foo") + assert sorted(dvw) == [(2, 1), (3, 1)] + dvd = dict(dv(weight="foo")) + assert dvd[0] == 1 + assert dvd[1] == 4 + assert dvd[2] == 1 + assert dvd[3] == 1 + + +class TestInDegreeView(TestDegreeView): + GRAPH = nx.DiGraph + dview = nx.reportviews.InDegreeView + + def test_str(self): + dv = self.dview(self.G) + rep = str([(0, 0), (1, 1), (2, 1), (3, 2), (4, 1), (5, 1)]) + assert str(dv) == rep + dv = self.G.in_degree() + assert str(dv) == rep + + def test_repr(self): + dv = self.G.in_degree() + rep = "InDegreeView({0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1})" + assert repr(dv) == rep + + def test_nbunch(self): + dv = self.dview(self.G) + dvn = dv(0) + assert dvn == 0 + dvn = dv([2, 3]) + assert sorted(dvn) == [(2, 1), (3, 2)] + + def test_getitem(self): + dv = self.dview(self.G) + assert dv[0] == 0 + assert dv[1] == 1 + assert dv[2] == 1 + assert dv[3] == 2 + dv = self.dview(self.G, weight="foo") + assert dv[0] == 0 + assert dv[1] == 1 + assert dv[2] == 1 + assert dv[3] == 4 + + def test_weight(self): + dv = self.dview(self.G) + dvw = dv(0, weight="foo") + assert dvw == 0 + dvw = dv(1, weight="foo") + assert dvw == 1 + dvw = dv([2, 3], weight="foo") + assert sorted(dvw) == [(2, 1), (3, 4)] + dvd = dict(dv(weight="foo")) + assert dvd[0] == 0 + assert dvd[1] == 1 + assert dvd[2] == 1 + assert dvd[3] == 4 + + +class TestMultiDegreeView(TestDegreeView): + GRAPH = nx.MultiGraph + dview = nx.reportviews.MultiDegreeView + + def test_str(self): + dv = self.dview(self.G) + rep = str([(0, 1), (1, 4), (2, 2), (3, 4), (4, 2), (5, 1)]) + assert str(dv) == rep + dv = self.G.degree() + assert str(dv) == rep + + def test_repr(self): + dv = self.G.degree() + rep = "MultiDegreeView({0: 1, 1: 4, 2: 2, 3: 4, 4: 2, 5: 1})" + assert repr(dv) == rep + + def test_nbunch(self): + dv = self.dview(self.G) + dvn = dv(0) + assert dvn == 1 + dvn = dv([2, 3]) + assert sorted(dvn) == [(2, 2), (3, 4)] + + def test_getitem(self): + dv = self.dview(self.G) + assert dv[0] == 1 + assert dv[1] == 4 + assert dv[2] == 2 + assert dv[3] == 4 + dv = self.dview(self.G, weight="foo") + assert dv[0] == 1 + assert dv[1] == 7 + assert dv[2] == 2 + assert dv[3] == 7 + + def test_weight(self): + dv = self.dview(self.G) + dvw = dv(0, weight="foo") + assert dvw == 1 + dvw = dv(1, weight="foo") + assert dvw == 7 + dvw = dv([2, 3], weight="foo") + assert sorted(dvw) == [(2, 2), (3, 7)] + dvd = dict(dv(weight="foo")) + assert dvd[0] == 1 + assert dvd[1] == 7 + assert dvd[2] == 2 + assert dvd[3] == 7 + + +class TestDiMultiDegreeView(TestMultiDegreeView): + GRAPH = nx.MultiDiGraph + dview = nx.reportviews.DiMultiDegreeView + + def test_repr(self): + dv = self.G.degree() + rep = "DiMultiDegreeView({0: 1, 1: 4, 2: 2, 3: 4, 4: 2, 5: 1})" + assert repr(dv) == rep + + +class TestOutMultiDegreeView(TestDegreeView): + GRAPH = nx.MultiDiGraph + dview = nx.reportviews.OutMultiDegreeView + + def test_str(self): + dv = self.dview(self.G) + rep = str([(0, 1), (1, 3), (2, 1), (3, 1), (4, 1), (5, 0)]) + assert str(dv) == rep + dv = self.G.out_degree() + assert str(dv) == rep + + def test_repr(self): + dv = self.G.out_degree() + rep = "OutMultiDegreeView({0: 1, 1: 3, 2: 1, 3: 1, 4: 1, 5: 0})" + assert repr(dv) == rep + + def test_nbunch(self): + dv = self.dview(self.G) + dvn = dv(0) + assert dvn == 1 + dvn = dv([2, 3]) + assert sorted(dvn) == [(2, 1), (3, 1)] + + def test_getitem(self): + dv = self.dview(self.G) + assert dv[0] == 1 + assert dv[1] == 3 + assert dv[2] == 1 + assert dv[3] == 1 + dv = self.dview(self.G, weight="foo") + assert dv[0] == 1 + assert dv[1] == 6 + assert dv[2] == 1 + assert dv[3] == 1 + + def test_weight(self): + dv = self.dview(self.G) + dvw = dv(0, weight="foo") + assert dvw == 1 + dvw = dv(1, weight="foo") + assert dvw == 6 + dvw = dv([2, 3], weight="foo") + assert sorted(dvw) == [(2, 1), (3, 1)] + dvd = dict(dv(weight="foo")) + assert dvd[0] == 1 + assert dvd[1] == 6 + assert dvd[2] == 1 + assert dvd[3] == 1 + + +class TestInMultiDegreeView(TestDegreeView): + GRAPH = nx.MultiDiGraph + dview = nx.reportviews.InMultiDegreeView + + def test_str(self): + dv = self.dview(self.G) + rep = str([(0, 0), (1, 1), (2, 1), (3, 3), (4, 1), (5, 1)]) + assert str(dv) == rep + dv = self.G.in_degree() + assert str(dv) == rep + + def test_repr(self): + dv = self.G.in_degree() + rep = "InMultiDegreeView({0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1})" + assert repr(dv) == rep + + def test_nbunch(self): + dv = self.dview(self.G) + dvn = dv(0) + assert dvn == 0 + dvn = dv([2, 3]) + assert sorted(dvn) == [(2, 1), (3, 3)] + + def test_getitem(self): + dv = self.dview(self.G) + assert dv[0] == 0 + assert dv[1] == 1 + assert dv[2] == 1 + assert dv[3] == 3 + dv = self.dview(self.G, weight="foo") + assert dv[0] == 0 + assert dv[1] == 1 + assert dv[2] == 1 + assert dv[3] == 6 + + def test_weight(self): + dv = self.dview(self.G) + dvw = dv(0, weight="foo") + assert dvw == 0 + dvw = dv(1, weight="foo") + assert dvw == 1 + dvw = dv([2, 3], weight="foo") + assert sorted(dvw) == [(2, 1), (3, 6)] + dvd = dict(dv(weight="foo")) + assert dvd[0] == 0 + assert dvd[1] == 1 + assert dvd[2] == 1 + assert dvd[3] == 6 + + +@pytest.mark.parametrize( + ("reportview", "err_msg_terms"), + ( + (rv.NodeView, "list(G.nodes"), + (rv.NodeDataView, "list(G.nodes.data"), + (rv.EdgeView, "list(G.edges"), + # Directed EdgeViews + (rv.InEdgeView, "list(G.in_edges"), + (rv.OutEdgeView, "list(G.edges"), + # Multi EdgeViews + (rv.MultiEdgeView, "list(G.edges"), + (rv.InMultiEdgeView, "list(G.in_edges"), + (rv.OutMultiEdgeView, "list(G.edges"), + ), +) +def test_slicing_reportviews(reportview, err_msg_terms): + G = nx.complete_graph(3) + view = reportview(G) + with pytest.raises(nx.NetworkXError) as exc: + view[0:2] + errmsg = str(exc.value) + assert type(view).__name__ in errmsg + assert err_msg_terms in errmsg + + +@pytest.mark.parametrize( + "graph", [nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph] +) +def test_cache_dict_get_set_state(graph): + G = nx.path_graph(5, graph()) + G.nodes, G.edges, G.adj, G.degree + if G.is_directed(): + G.pred, G.succ, G.in_edges, G.out_edges, G.in_degree, G.out_degree + cached_dict = G.__dict__ + assert "nodes" in cached_dict + assert "edges" in cached_dict + assert "adj" in cached_dict + assert "degree" in cached_dict + if G.is_directed(): + assert "pred" in cached_dict + assert "succ" in cached_dict + assert "in_edges" in cached_dict + assert "out_edges" in cached_dict + assert "in_degree" in cached_dict + assert "out_degree" in cached_dict + + # Raises error if the cached properties and views do not work + pickle.loads(pickle.dumps(G, -1)) + deepcopy(G) + + +def test_edge_views_inherit_from_EdgeViewABC(): + all_edge_view_classes = (v for v in dir(nx.reportviews) if "Edge" in v) + for eview_class in all_edge_view_classes: + assert issubclass( + getattr(nx.reportviews, eview_class), nx.reportviews.EdgeViewABC + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_special.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_special.py new file mode 100644 index 0000000000000000000000000000000000000000..1fa79605b484f57ed6cbd17762b21a23406ee006 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_special.py @@ -0,0 +1,131 @@ +import networkx as nx + +from .test_digraph import BaseDiGraphTester +from .test_digraph import TestDiGraph as _TestDiGraph +from .test_graph import BaseGraphTester +from .test_graph import TestGraph as _TestGraph +from .test_multidigraph import TestMultiDiGraph as _TestMultiDiGraph +from .test_multigraph import TestMultiGraph as _TestMultiGraph + + +def test_factories(): + class mydict1(dict): + pass + + class mydict2(dict): + pass + + class mydict3(dict): + pass + + class mydict4(dict): + pass + + class mydict5(dict): + pass + + for Graph in (nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph): + # print("testing class: ", Graph.__name__) + class MyGraph(Graph): + node_dict_factory = mydict1 + adjlist_outer_dict_factory = mydict2 + adjlist_inner_dict_factory = mydict3 + edge_key_dict_factory = mydict4 + edge_attr_dict_factory = mydict5 + + G = MyGraph() + assert isinstance(G._node, mydict1) + assert isinstance(G._adj, mydict2) + G.add_node(1) + assert isinstance(G._adj[1], mydict3) + if G.is_directed(): + assert isinstance(G._pred, mydict2) + assert isinstance(G._succ, mydict2) + assert isinstance(G._pred[1], mydict3) + G.add_edge(1, 2) + if G.is_multigraph(): + assert isinstance(G._adj[1][2], mydict4) + assert isinstance(G._adj[1][2][0], mydict5) + else: + assert isinstance(G._adj[1][2], mydict5) + + +class TestSpecialGraph(_TestGraph): + def setup_method(self): + _TestGraph.setup_method(self) + self.Graph = nx.Graph + + +class TestThinGraph(BaseGraphTester): + def setup_method(self): + all_edge_dict = {"weight": 1} + + class MyGraph(nx.Graph): + def edge_attr_dict_factory(self): + return all_edge_dict + + self.Graph = MyGraph + # build dict-of-dict-of-dict K3 + ed1, ed2, ed3 = (all_edge_dict, all_edge_dict, all_edge_dict) + self.k3adj = {0: {1: ed1, 2: ed2}, 1: {0: ed1, 2: ed3}, 2: {0: ed2, 1: ed3}} + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._adj = self.k3adj + self.K3._node = {} + self.K3._node[0] = {} + self.K3._node[1] = {} + self.K3._node[2] = {} + + +class TestSpecialDiGraph(_TestDiGraph): + def setup_method(self): + _TestDiGraph.setup_method(self) + self.Graph = nx.DiGraph + + +class TestThinDiGraph(BaseDiGraphTester): + def setup_method(self): + all_edge_dict = {"weight": 1} + + class MyGraph(nx.DiGraph): + def edge_attr_dict_factory(self): + return all_edge_dict + + self.Graph = MyGraph + # build dict-of-dict-of-dict K3 + ed1, ed2, ed3 = (all_edge_dict, all_edge_dict, all_edge_dict) + ed4, ed5, ed6 = (all_edge_dict, all_edge_dict, all_edge_dict) + self.k3adj = {0: {1: ed1, 2: ed2}, 1: {0: ed3, 2: ed4}, 2: {0: ed5, 1: ed6}} + self.k3edges = [(0, 1), (0, 2), (1, 2)] + self.k3nodes = [0, 1, 2] + self.K3 = self.Graph() + self.K3._succ = self.k3adj + # K3._adj is synced with K3._succ + self.K3._pred = {0: {1: ed3, 2: ed5}, 1: {0: ed1, 2: ed6}, 2: {0: ed2, 1: ed4}} + self.K3._node = {} + self.K3._node[0] = {} + self.K3._node[1] = {} + self.K3._node[2] = {} + + ed1, ed2 = (all_edge_dict, all_edge_dict) + self.P3 = self.Graph() + self.P3._succ = {0: {1: ed1}, 1: {2: ed2}, 2: {}} + # P3._adj is synced with P3._succ + self.P3._pred = {0: {}, 1: {0: ed1}, 2: {1: ed2}} + self.P3._node = {} + self.P3._node[0] = {} + self.P3._node[1] = {} + self.P3._node[2] = {} + + +class TestSpecialMultiGraph(_TestMultiGraph): + def setup_method(self): + _TestMultiGraph.setup_method(self) + self.Graph = nx.MultiGraph + + +class TestSpecialMultiDiGraph(_TestMultiDiGraph): + def setup_method(self): + _TestMultiDiGraph.setup_method(self) + self.Graph = nx.MultiDiGraph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_subgraphviews.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_subgraphviews.py new file mode 100644 index 0000000000000000000000000000000000000000..73e0fdd2d52bcb7623dbd4e4f502e8bed0a4e3d3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/classes/tests/test_subgraphviews.py @@ -0,0 +1,362 @@ +import pytest + +import networkx as nx +from networkx.utils import edges_equal + + +class TestSubGraphView: + gview = staticmethod(nx.subgraph_view) + graph = nx.Graph + hide_edges_filter = staticmethod(nx.filters.hide_edges) + show_edges_filter = staticmethod(nx.filters.show_edges) + + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, create_using=cls.graph()) + cls.hide_edges_w_hide_nodes = {(3, 4), (4, 5), (5, 6)} + + def test_hidden_nodes(self): + hide_nodes = [4, 5, 111] + nodes_gone = nx.filters.hide_nodes(hide_nodes) + gview = self.gview + G = gview(self.G, filter_node=nodes_gone) + assert self.G.nodes - G.nodes == {4, 5} + assert self.G.edges - G.edges == self.hide_edges_w_hide_nodes + if G.is_directed(): + assert list(G[3]) == [] + assert list(G[2]) == [3] + else: + assert list(G[3]) == [2] + assert set(G[2]) == {1, 3} + pytest.raises(KeyError, G.__getitem__, 4) + pytest.raises(KeyError, G.__getitem__, 112) + pytest.raises(KeyError, G.__getitem__, 111) + assert G.degree(3) == (3 if G.is_multigraph() else 1) + assert G.size() == (7 if G.is_multigraph() else 5) + + def test_hidden_edges(self): + hide_edges = [(2, 3), (8, 7), (222, 223)] + edges_gone = self.hide_edges_filter(hide_edges) + gview = self.gview + G = gview(self.G, filter_edge=edges_gone) + assert self.G.nodes == G.nodes + if G.is_directed(): + assert self.G.edges - G.edges == {(2, 3)} + assert list(G[2]) == [] + assert list(G.pred[3]) == [] + assert list(G.pred[2]) == [1] + assert G.size() == 7 + else: + assert self.G.edges - G.edges == {(2, 3), (7, 8)} + assert list(G[2]) == [1] + assert G.size() == 6 + assert list(G[3]) == [4] + pytest.raises(KeyError, G.__getitem__, 221) + pytest.raises(KeyError, G.__getitem__, 222) + assert G.degree(3) == 1 + + def test_shown_node(self): + induced_subgraph = nx.filters.show_nodes([2, 3, 111]) + gview = self.gview + G = gview(self.G, filter_node=induced_subgraph) + assert set(G.nodes) == {2, 3} + if G.is_directed(): + assert list(G[3]) == [] + else: + assert list(G[3]) == [2] + assert list(G[2]) == [3] + pytest.raises(KeyError, G.__getitem__, 4) + pytest.raises(KeyError, G.__getitem__, 112) + pytest.raises(KeyError, G.__getitem__, 111) + assert G.degree(3) == (3 if G.is_multigraph() else 1) + assert G.size() == (3 if G.is_multigraph() else 1) + + def test_shown_edges(self): + show_edges = [(2, 3), (8, 7), (222, 223)] + edge_subgraph = self.show_edges_filter(show_edges) + G = self.gview(self.G, filter_edge=edge_subgraph) + assert self.G.nodes == G.nodes + if G.is_directed(): + assert G.edges == {(2, 3)} + assert list(G[3]) == [] + assert list(G[2]) == [3] + assert list(G.pred[3]) == [2] + assert list(G.pred[2]) == [] + assert G.size() == 1 + else: + assert G.edges == {(2, 3), (7, 8)} + assert list(G[3]) == [2] + assert list(G[2]) == [3] + assert G.size() == 2 + pytest.raises(KeyError, G.__getitem__, 221) + pytest.raises(KeyError, G.__getitem__, 222) + assert G.degree(3) == 1 + + +class TestSubDiGraphView(TestSubGraphView): + gview = staticmethod(nx.subgraph_view) + graph = nx.DiGraph + hide_edges_filter = staticmethod(nx.filters.hide_diedges) + show_edges_filter = staticmethod(nx.filters.show_diedges) + hide_edges = [(2, 3), (8, 7), (222, 223)] + excluded = {(2, 3), (3, 4), (4, 5), (5, 6)} + + def test_inoutedges(self): + edges_gone = self.hide_edges_filter(self.hide_edges) + hide_nodes = [4, 5, 111] + nodes_gone = nx.filters.hide_nodes(hide_nodes) + G = self.gview(self.G, filter_node=nodes_gone, filter_edge=edges_gone) + + assert self.G.in_edges - G.in_edges == self.excluded + assert self.G.out_edges - G.out_edges == self.excluded + + def test_pred(self): + edges_gone = self.hide_edges_filter(self.hide_edges) + hide_nodes = [4, 5, 111] + nodes_gone = nx.filters.hide_nodes(hide_nodes) + G = self.gview(self.G, filter_node=nodes_gone, filter_edge=edges_gone) + + assert list(G.pred[2]) == [1] + assert list(G.pred[6]) == [] + + def test_inout_degree(self): + edges_gone = self.hide_edges_filter(self.hide_edges) + hide_nodes = [4, 5, 111] + nodes_gone = nx.filters.hide_nodes(hide_nodes) + G = self.gview(self.G, filter_node=nodes_gone, filter_edge=edges_gone) + + assert G.degree(2) == 1 + assert G.out_degree(2) == 0 + assert G.in_degree(2) == 1 + assert G.size() == 4 + + +# multigraph +class TestMultiGraphView(TestSubGraphView): + gview = staticmethod(nx.subgraph_view) + graph = nx.MultiGraph + hide_edges_filter = staticmethod(nx.filters.hide_multiedges) + show_edges_filter = staticmethod(nx.filters.show_multiedges) + + @classmethod + def setup_class(cls): + cls.G = nx.path_graph(9, create_using=cls.graph()) + multiedges = {(2, 3, 4), (2, 3, 5)} + cls.G.add_edges_from(multiedges) + cls.hide_edges_w_hide_nodes = {(3, 4, 0), (4, 5, 0), (5, 6, 0)} + + def test_hidden_edges(self): + hide_edges = [(2, 3, 4), (2, 3, 3), (8, 7, 0), (222, 223, 0)] + edges_gone = self.hide_edges_filter(hide_edges) + G = self.gview(self.G, filter_edge=edges_gone) + assert self.G.nodes == G.nodes + if G.is_directed(): + assert self.G.edges - G.edges == {(2, 3, 4)} + assert list(G[3]) == [4] + assert list(G[2]) == [3] + assert list(G.pred[3]) == [2] # only one 2 but two edges + assert list(G.pred[2]) == [1] + assert G.size() == 9 + else: + assert self.G.edges - G.edges == {(2, 3, 4), (7, 8, 0)} + assert list(G[3]) == [2, 4] + assert list(G[2]) == [1, 3] + assert G.size() == 8 + assert G.degree(3) == 3 + pytest.raises(KeyError, G.__getitem__, 221) + pytest.raises(KeyError, G.__getitem__, 222) + + def test_shown_edges(self): + show_edges = [(2, 3, 4), (2, 3, 3), (8, 7, 0), (222, 223, 0)] + edge_subgraph = self.show_edges_filter(show_edges) + G = self.gview(self.G, filter_edge=edge_subgraph) + assert self.G.nodes == G.nodes + if G.is_directed(): + assert G.edges == {(2, 3, 4)} + assert list(G[3]) == [] + assert list(G.pred[3]) == [2] + assert list(G.pred[2]) == [] + assert G.size() == 1 + else: + assert G.edges == {(2, 3, 4), (7, 8, 0)} + assert G.size() == 2 + assert list(G[3]) == [2] + assert G.degree(3) == 1 + assert list(G[2]) == [3] + pytest.raises(KeyError, G.__getitem__, 221) + pytest.raises(KeyError, G.__getitem__, 222) + + +# multidigraph +class TestMultiDiGraphView(TestMultiGraphView, TestSubDiGraphView): + gview = staticmethod(nx.subgraph_view) + graph = nx.MultiDiGraph + hide_edges_filter = staticmethod(nx.filters.hide_multidiedges) + show_edges_filter = staticmethod(nx.filters.show_multidiedges) + hide_edges = [(2, 3, 0), (8, 7, 0), (222, 223, 0)] + excluded = {(2, 3, 0), (3, 4, 0), (4, 5, 0), (5, 6, 0)} + + def test_inout_degree(self): + edges_gone = self.hide_edges_filter(self.hide_edges) + hide_nodes = [4, 5, 111] + nodes_gone = nx.filters.hide_nodes(hide_nodes) + G = self.gview(self.G, filter_node=nodes_gone, filter_edge=edges_gone) + + assert G.degree(2) == 3 + assert G.out_degree(2) == 2 + assert G.in_degree(2) == 1 + assert G.size() == 6 + + +# induced_subgraph +class TestInducedSubGraph: + @classmethod + def setup_class(cls): + cls.K3 = G = nx.complete_graph(3) + G.graph["foo"] = [] + G.nodes[0]["foo"] = [] + G.remove_edge(1, 2) + ll = [] + G.add_edge(1, 2, foo=ll) + G.add_edge(2, 1, foo=ll) + + def test_full_graph(self): + G = self.K3 + H = nx.induced_subgraph(G, [0, 1, 2, 5]) + assert H.name == G.name + self.graphs_equal(H, G) + self.same_attrdict(H, G) + + def test_partial_subgraph(self): + G = self.K3 + H = nx.induced_subgraph(G, 0) + assert dict(H.adj) == {0: {}} + assert dict(G.adj) != {0: {}} + + H = nx.induced_subgraph(G, [0, 1]) + assert dict(H.adj) == {0: {1: {}}, 1: {0: {}}} + + def same_attrdict(self, H, G): + old_foo = H[1][2]["foo"] + H.edges[1, 2]["foo"] = "baz" + assert G.edges == H.edges + H.edges[1, 2]["foo"] = old_foo + assert G.edges == H.edges + old_foo = H.nodes[0]["foo"] + H.nodes[0]["foo"] = "baz" + assert G.nodes == H.nodes + H.nodes[0]["foo"] = old_foo + assert G.nodes == H.nodes + + def graphs_equal(self, H, G): + assert G._adj == H._adj + assert G._node == H._node + assert G.graph == H.graph + assert G.name == H.name + if not G.is_directed() and not H.is_directed(): + assert H._adj[1][2] is H._adj[2][1] + assert G._adj[1][2] is G._adj[2][1] + else: # at least one is directed + if not G.is_directed(): + G._pred = G._adj + G._succ = G._adj + if not H.is_directed(): + H._pred = H._adj + H._succ = H._adj + assert G._pred == H._pred + assert G._succ == H._succ + assert H._succ[1][2] is H._pred[2][1] + assert G._succ[1][2] is G._pred[2][1] + + +# edge_subgraph +class TestEdgeSubGraph: + @classmethod + def setup_class(cls): + # Create a path graph on five nodes. + cls.G = G = nx.path_graph(5) + # Add some node, edge, and graph attributes. + for i in range(5): + G.nodes[i]["name"] = f"node{i}" + G.edges[0, 1]["name"] = "edge01" + G.edges[3, 4]["name"] = "edge34" + G.graph["name"] = "graph" + # Get the subgraph induced by the first and last edges. + cls.H = nx.edge_subgraph(G, [(0, 1), (3, 4)]) + + def test_correct_nodes(self): + """Tests that the subgraph has the correct nodes.""" + assert [(0, "node0"), (1, "node1"), (3, "node3"), (4, "node4")] == sorted( + self.H.nodes.data("name") + ) + + def test_correct_edges(self): + """Tests that the subgraph has the correct edges.""" + assert edges_equal( + [(0, 1, "edge01"), (3, 4, "edge34")], self.H.edges.data("name") + ) + + def test_add_node(self): + """Tests that adding a node to the original graph does not + affect the nodes of the subgraph. + + """ + self.G.add_node(5) + assert [0, 1, 3, 4] == sorted(self.H.nodes) + self.G.remove_node(5) + + def test_remove_node(self): + """Tests that removing a node in the original graph + removes the nodes of the subgraph. + + """ + self.G.remove_node(0) + assert [1, 3, 4] == sorted(self.H.nodes) + self.G.add_node(0, name="node0") + self.G.add_edge(0, 1, name="edge01") + + def test_node_attr_dict(self): + """Tests that the node attribute dictionary of the two graphs is + the same object. + + """ + for v in self.H: + assert self.G.nodes[v] == self.H.nodes[v] + # Making a change to G should make a change in H and vice versa. + self.G.nodes[0]["name"] = "foo" + assert self.G.nodes[0] == self.H.nodes[0] + self.H.nodes[1]["name"] = "bar" + assert self.G.nodes[1] == self.H.nodes[1] + # Revert the change, so tests pass with pytest-randomly + self.G.nodes[0]["name"] = "node0" + self.H.nodes[1]["name"] = "node1" + + def test_edge_attr_dict(self): + """Tests that the edge attribute dictionary of the two graphs is + the same object. + + """ + for u, v in self.H.edges(): + assert self.G.edges[u, v] == self.H.edges[u, v] + # Making a change to G should make a change in H and vice versa. + self.G.edges[0, 1]["name"] = "foo" + assert self.G.edges[0, 1]["name"] == self.H.edges[0, 1]["name"] + self.H.edges[3, 4]["name"] = "bar" + assert self.G.edges[3, 4]["name"] == self.H.edges[3, 4]["name"] + # Revert the change, so tests pass with pytest-randomly + self.G.edges[0, 1]["name"] = "edge01" + self.H.edges[3, 4]["name"] = "edge34" + + def test_graph_attr_dict(self): + """Tests that the graph attribute dictionary of the two graphs + is the same object. + + """ + assert self.G.graph is self.H.graph + + def test_readonly(self): + """Tests that the subgraph cannot change the graph structure""" + pytest.raises(nx.NetworkXError, self.H.add_node, 5) + pytest.raises(nx.NetworkXError, self.H.remove_node, 0) + pytest.raises(nx.NetworkXError, self.H.add_edge, 5, 6) + pytest.raises(nx.NetworkXError, self.H.remove_edge, 0, 1) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..0f53309d4da23a445bcce8cb7570a6de364452b5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/__init__.py @@ -0,0 +1,7 @@ +# graph drawing and interface to graphviz + +from .layout import * +from .nx_latex import * +from .nx_pylab import * +from . import nx_agraph +from . import nx_pydot diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/layout.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/layout.py new file mode 100644 index 0000000000000000000000000000000000000000..20d34a189ad80a7c4ff12d36289a7eec0737976e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/layout.py @@ -0,0 +1,1630 @@ +""" +****** +Layout +****** + +Node positioning algorithms for graph drawing. + +For `random_layout()` the possible resulting shape +is a square of side [0, scale] (default: [0, 1]) +Changing `center` shifts the layout by that amount. + +For the other layout routines, the extent is +[center - scale, center + scale] (default: [-1, 1]). + +Warning: Most layout routines have only been tested in 2-dimensions. + +""" + +import networkx as nx +from networkx.utils import np_random_state + +__all__ = [ + "bipartite_layout", + "circular_layout", + "forceatlas2_layout", + "kamada_kawai_layout", + "random_layout", + "rescale_layout", + "rescale_layout_dict", + "shell_layout", + "spring_layout", + "spectral_layout", + "planar_layout", + "fruchterman_reingold_layout", + "spiral_layout", + "multipartite_layout", + "bfs_layout", + "arf_layout", +] + + +def _process_params(G, center, dim): + # Some boilerplate code. + import numpy as np + + if not isinstance(G, nx.Graph): + empty_graph = nx.Graph() + empty_graph.add_nodes_from(G) + G = empty_graph + + if center is None: + center = np.zeros(dim) + else: + center = np.asarray(center) + + if len(center) != dim: + msg = "length of center coordinates must match dimension of layout" + raise ValueError(msg) + + return G, center + + +@np_random_state(3) +def random_layout(G, center=None, dim=2, seed=None): + """Position nodes uniformly at random in the unit square. + + For every node, a position is generated by choosing each of dim + coordinates uniformly at random on the interval [0.0, 1.0). + + NumPy (http://scipy.org) is required for this function. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + center : array-like or None + Coordinate pair around which to center the layout. + + dim : int + Dimension of layout. + + seed : int, RandomState instance or None optional (default=None) + Set the random state for deterministic node layouts. + If int, `seed` is the seed used by the random number generator, + if numpy.random.RandomState instance, `seed` is the random + number generator, + if None, the random number generator is the RandomState instance used + by numpy.random. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Examples + -------- + >>> G = nx.lollipop_graph(4, 3) + >>> pos = nx.random_layout(G) + + """ + import numpy as np + + G, center = _process_params(G, center, dim) + pos = seed.rand(len(G), dim) + center + pos = pos.astype(np.float32) + pos = dict(zip(G, pos)) + + return pos + + +def circular_layout(G, scale=1, center=None, dim=2): + # dim=2 only + """Position nodes on a circle. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + scale : number (default: 1) + Scale factor for positions. + + center : array-like or None + Coordinate pair around which to center the layout. + + dim : int + Dimension of layout. + If dim>2, the remaining dimensions are set to zero + in the returned positions. + If dim<2, a ValueError is raised. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Raises + ------ + ValueError + If dim < 2 + + Examples + -------- + >>> G = nx.path_graph(4) + >>> pos = nx.circular_layout(G) + + Notes + ----- + This algorithm currently only works in two dimensions and does not + try to minimize edge crossings. + + """ + import numpy as np + + if dim < 2: + raise ValueError("cannot handle dimensions < 2") + + G, center = _process_params(G, center, dim) + + paddims = max(0, (dim - 2)) + + if len(G) == 0: + pos = {} + elif len(G) == 1: + pos = {nx.utils.arbitrary_element(G): center} + else: + # Discard the extra angle since it matches 0 radians. + theta = np.linspace(0, 1, len(G) + 1)[:-1] * 2 * np.pi + theta = theta.astype(np.float32) + pos = np.column_stack( + [np.cos(theta), np.sin(theta), np.zeros((len(G), paddims))] + ) + pos = rescale_layout(pos, scale=scale) + center + pos = dict(zip(G, pos)) + + return pos + + +def shell_layout(G, nlist=None, rotate=None, scale=1, center=None, dim=2): + """Position nodes in concentric circles. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + nlist : list of lists + List of node lists for each shell. + + rotate : angle in radians (default=pi/len(nlist)) + Angle by which to rotate the starting position of each shell + relative to the starting position of the previous shell. + To recreate behavior before v2.5 use rotate=0. + + scale : number (default: 1) + Scale factor for positions. + + center : array-like or None + Coordinate pair around which to center the layout. + + dim : int + Dimension of layout, currently only dim=2 is supported. + Other dimension values result in a ValueError. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Raises + ------ + ValueError + If dim != 2 + + Examples + -------- + >>> G = nx.path_graph(4) + >>> shells = [[0], [1, 2, 3]] + >>> pos = nx.shell_layout(G, shells) + + Notes + ----- + This algorithm currently only works in two dimensions and does not + try to minimize edge crossings. + + """ + import numpy as np + + if dim != 2: + raise ValueError("can only handle 2 dimensions") + + G, center = _process_params(G, center, dim) + + if len(G) == 0: + return {} + if len(G) == 1: + return {nx.utils.arbitrary_element(G): center} + + if nlist is None: + # draw the whole graph in one shell + nlist = [list(G)] + + radius_bump = scale / len(nlist) + + if len(nlist[0]) == 1: + # single node at center + radius = 0.0 + else: + # else start at r=1 + radius = radius_bump + + if rotate is None: + rotate = np.pi / len(nlist) + first_theta = rotate + npos = {} + for nodes in nlist: + # Discard the last angle (endpoint=False) since 2*pi matches 0 radians + theta = ( + np.linspace(0, 2 * np.pi, len(nodes), endpoint=False, dtype=np.float32) + + first_theta + ) + pos = radius * np.column_stack([np.cos(theta), np.sin(theta)]) + center + npos.update(zip(nodes, pos)) + radius += radius_bump + first_theta += rotate + + return npos + + +def bipartite_layout( + G, nodes, align="vertical", scale=1, center=None, aspect_ratio=4 / 3 +): + """Position nodes in two straight lines. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + nodes : list or container + Nodes in one node set of the bipartite graph. + This set will be placed on left or top. + + align : string (default='vertical') + The alignment of nodes. Vertical or horizontal. + + scale : number (default: 1) + Scale factor for positions. + + center : array-like or None + Coordinate pair around which to center the layout. + + aspect_ratio : number (default=4/3): + The ratio of the width to the height of the layout. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node. + + Examples + -------- + >>> G = nx.bipartite.gnmk_random_graph(3, 5, 10, seed=123) + >>> top = nx.bipartite.sets(G)[0] + >>> pos = nx.bipartite_layout(G, top) + + Notes + ----- + This algorithm currently only works in two dimensions and does not + try to minimize edge crossings. + + """ + + import numpy as np + + if align not in ("vertical", "horizontal"): + msg = "align must be either vertical or horizontal." + raise ValueError(msg) + + G, center = _process_params(G, center=center, dim=2) + if len(G) == 0: + return {} + + height = 1 + width = aspect_ratio * height + offset = (width / 2, height / 2) + + top = dict.fromkeys(nodes) + bottom = [v for v in G if v not in top] + nodes = list(top) + bottom + + left_xs = np.repeat(0, len(top)) + right_xs = np.repeat(width, len(bottom)) + left_ys = np.linspace(0, height, len(top)) + right_ys = np.linspace(0, height, len(bottom)) + + top_pos = np.column_stack([left_xs, left_ys]) - offset + bottom_pos = np.column_stack([right_xs, right_ys]) - offset + + pos = np.concatenate([top_pos, bottom_pos]) + pos = rescale_layout(pos, scale=scale) + center + if align == "horizontal": + pos = pos[:, ::-1] # swap x and y coords + pos = dict(zip(nodes, pos)) + return pos + + +@np_random_state(10) +def spring_layout( + G, + k=None, + pos=None, + fixed=None, + iterations=50, + threshold=1e-4, + weight="weight", + scale=1, + center=None, + dim=2, + seed=None, +): + """Position nodes using Fruchterman-Reingold force-directed algorithm. + + The algorithm simulates a force-directed representation of the network + treating edges as springs holding nodes close, while treating nodes + as repelling objects, sometimes called an anti-gravity force. + Simulation continues until the positions are close to an equilibrium. + + There are some hard-coded values: minimal distance between + nodes (0.01) and "temperature" of 0.1 to ensure nodes don't fly away. + During the simulation, `k` helps determine the distance between nodes, + though `scale` and `center` determine the size and place after + rescaling occurs at the end of the simulation. + + Fixing some nodes doesn't allow them to move in the simulation. + It also turns off the rescaling feature at the simulation's end. + In addition, setting `scale` to `None` turns off rescaling. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + k : float (default=None) + Optimal distance between nodes. If None the distance is set to + 1/sqrt(n) where n is the number of nodes. Increase this value + to move nodes farther apart. + + pos : dict or None optional (default=None) + Initial positions for nodes as a dictionary with node as keys + and values as a coordinate list or tuple. If None, then use + random initial positions. + + fixed : list or None optional (default=None) + Nodes to keep fixed at initial position. + Nodes not in ``G.nodes`` are ignored. + ValueError raised if `fixed` specified and `pos` not. + + iterations : int optional (default=50) + Maximum number of iterations taken + + threshold: float optional (default = 1e-4) + Threshold for relative error in node position changes. + The iteration stops if the error is below this threshold. + + weight : string or None optional (default='weight') + The edge attribute that holds the numerical value used for + the edge weight. Larger means a stronger attractive force. + If None, then all edge weights are 1. + + scale : number or None (default: 1) + Scale factor for positions. Not used unless `fixed is None`. + If scale is None, no rescaling is performed. + + center : array-like or None + Coordinate pair around which to center the layout. + Not used unless `fixed is None`. + + dim : int + Dimension of layout. + + seed : int, RandomState instance or None optional (default=None) + Used only for the initial positions in the algorithm. + Set the random state for deterministic node layouts. + If int, `seed` is the seed used by the random number generator, + if numpy.random.RandomState instance, `seed` is the random + number generator, + if None, the random number generator is the RandomState instance used + by numpy.random. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Examples + -------- + >>> G = nx.path_graph(4) + >>> pos = nx.spring_layout(G) + + # The same using longer but equivalent function name + >>> pos = nx.fruchterman_reingold_layout(G) + """ + import numpy as np + + G, center = _process_params(G, center, dim) + + if fixed is not None: + if pos is None: + raise ValueError("nodes are fixed without positions given") + for node in fixed: + if node not in pos: + raise ValueError("nodes are fixed without positions given") + nfixed = {node: i for i, node in enumerate(G)} + fixed = np.asarray([nfixed[node] for node in fixed if node in nfixed]) + + if pos is not None: + # Determine size of existing domain to adjust initial positions + dom_size = max(coord for pos_tup in pos.values() for coord in pos_tup) + if dom_size == 0: + dom_size = 1 + pos_arr = seed.rand(len(G), dim) * dom_size + center + + for i, n in enumerate(G): + if n in pos: + pos_arr[i] = np.asarray(pos[n]) + else: + pos_arr = None + dom_size = 1 + + if len(G) == 0: + return {} + if len(G) == 1: + return {nx.utils.arbitrary_element(G.nodes()): center} + + try: + # Sparse matrix + if len(G) < 500: # sparse solver for large graphs + raise ValueError + A = nx.to_scipy_sparse_array(G, weight=weight, dtype="f") + if k is None and fixed is not None: + # We must adjust k by domain size for layouts not near 1x1 + nnodes, _ = A.shape + k = dom_size / np.sqrt(nnodes) + pos = _sparse_fruchterman_reingold( + A, k, pos_arr, fixed, iterations, threshold, dim, seed + ) + except ValueError: + A = nx.to_numpy_array(G, weight=weight) + if k is None and fixed is not None: + # We must adjust k by domain size for layouts not near 1x1 + nnodes, _ = A.shape + k = dom_size / np.sqrt(nnodes) + pos = _fruchterman_reingold( + A, k, pos_arr, fixed, iterations, threshold, dim, seed + ) + if fixed is None and scale is not None: + pos = rescale_layout(pos, scale=scale) + center + pos = dict(zip(G, pos)) + return pos + + +fruchterman_reingold_layout = spring_layout + + +@np_random_state(7) +def _fruchterman_reingold( + A, k=None, pos=None, fixed=None, iterations=50, threshold=1e-4, dim=2, seed=None +): + # Position nodes in adjacency matrix A using Fruchterman-Reingold + # Entry point for NetworkX graph is fruchterman_reingold_layout() + import numpy as np + + try: + nnodes, _ = A.shape + except AttributeError as err: + msg = "fruchterman_reingold() takes an adjacency matrix as input" + raise nx.NetworkXError(msg) from err + + if pos is None: + # random initial positions + pos = np.asarray(seed.rand(nnodes, dim), dtype=A.dtype) + else: + # make sure positions are of same type as matrix + pos = pos.astype(A.dtype) + + # optimal distance between nodes + if k is None: + k = np.sqrt(1.0 / nnodes) + # the initial "temperature" is about .1 of domain area (=1x1) + # this is the largest step allowed in the dynamics. + # We need to calculate this in case our fixed positions force our domain + # to be much bigger than 1x1 + t = max(max(pos.T[0]) - min(pos.T[0]), max(pos.T[1]) - min(pos.T[1])) * 0.1 + # simple cooling scheme. + # linearly step down by dt on each iteration so last iteration is size dt. + dt = t / (iterations + 1) + delta = np.zeros((pos.shape[0], pos.shape[0], pos.shape[1]), dtype=A.dtype) + # the inscrutable (but fast) version + # this is still O(V^2) + # could use multilevel methods to speed this up significantly + for iteration in range(iterations): + # matrix of difference between points + delta = pos[:, np.newaxis, :] - pos[np.newaxis, :, :] + # distance between points + distance = np.linalg.norm(delta, axis=-1) + # enforce minimum distance of 0.01 + np.clip(distance, 0.01, None, out=distance) + # displacement "force" + displacement = np.einsum( + "ijk,ij->ik", delta, (k * k / distance**2 - A * distance / k) + ) + # update positions + length = np.linalg.norm(displacement, axis=-1) + length = np.where(length < 0.01, 0.1, length) + delta_pos = np.einsum("ij,i->ij", displacement, t / length) + if fixed is not None: + # don't change positions of fixed nodes + delta_pos[fixed] = 0.0 + pos += delta_pos + # cool temperature + t -= dt + if (np.linalg.norm(delta_pos) / nnodes) < threshold: + break + return pos + + +@np_random_state(7) +def _sparse_fruchterman_reingold( + A, k=None, pos=None, fixed=None, iterations=50, threshold=1e-4, dim=2, seed=None +): + # Position nodes in adjacency matrix A using Fruchterman-Reingold + # Entry point for NetworkX graph is fruchterman_reingold_layout() + # Sparse version + import numpy as np + import scipy as sp + + try: + nnodes, _ = A.shape + except AttributeError as err: + msg = "fruchterman_reingold() takes an adjacency matrix as input" + raise nx.NetworkXError(msg) from err + # make sure we have a LIst of Lists representation + try: + A = A.tolil() + except AttributeError: + A = (sp.sparse.coo_array(A)).tolil() + + if pos is None: + # random initial positions + pos = np.asarray(seed.rand(nnodes, dim), dtype=A.dtype) + else: + # make sure positions are of same type as matrix + pos = pos.astype(A.dtype) + + # no fixed nodes + if fixed is None: + fixed = [] + + # optimal distance between nodes + if k is None: + k = np.sqrt(1.0 / nnodes) + # the initial "temperature" is about .1 of domain area (=1x1) + # this is the largest step allowed in the dynamics. + t = max(max(pos.T[0]) - min(pos.T[0]), max(pos.T[1]) - min(pos.T[1])) * 0.1 + # simple cooling scheme. + # linearly step down by dt on each iteration so last iteration is size dt. + dt = t / (iterations + 1) + + displacement = np.zeros((dim, nnodes)) + for iteration in range(iterations): + displacement *= 0 + # loop over rows + for i in range(A.shape[0]): + if i in fixed: + continue + # difference between this row's node position and all others + delta = (pos[i] - pos).T + # distance between points + distance = np.sqrt((delta**2).sum(axis=0)) + # enforce minimum distance of 0.01 + distance = np.where(distance < 0.01, 0.01, distance) + # the adjacency matrix row + Ai = A.getrowview(i).toarray() # TODO: revisit w/ sparse 1D container + # displacement "force" + displacement[:, i] += ( + delta * (k * k / distance**2 - Ai * distance / k) + ).sum(axis=1) + # update positions + length = np.sqrt((displacement**2).sum(axis=0)) + length = np.where(length < 0.01, 0.1, length) + delta_pos = (displacement * t / length).T + pos += delta_pos + # cool temperature + t -= dt + if (np.linalg.norm(delta_pos) / nnodes) < threshold: + break + return pos + + +def kamada_kawai_layout( + G, dist=None, pos=None, weight="weight", scale=1, center=None, dim=2 +): + """Position nodes using Kamada-Kawai path-length cost-function. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + dist : dict (default=None) + A two-level dictionary of optimal distances between nodes, + indexed by source and destination node. + If None, the distance is computed using shortest_path_length(). + + pos : dict or None optional (default=None) + Initial positions for nodes as a dictionary with node as keys + and values as a coordinate list or tuple. If None, then use + circular_layout() for dim >= 2 and a linear layout for dim == 1. + + weight : string or None optional (default='weight') + The edge attribute that holds the numerical value used for + the edge weight. If None, then all edge weights are 1. + + scale : number (default: 1) + Scale factor for positions. + + center : array-like or None + Coordinate pair around which to center the layout. + + dim : int + Dimension of layout. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Examples + -------- + >>> G = nx.path_graph(4) + >>> pos = nx.kamada_kawai_layout(G) + """ + import numpy as np + + G, center = _process_params(G, center, dim) + nNodes = len(G) + if nNodes == 0: + return {} + + if dist is None: + dist = dict(nx.shortest_path_length(G, weight=weight)) + dist_mtx = 1e6 * np.ones((nNodes, nNodes)) + for row, nr in enumerate(G): + if nr not in dist: + continue + rdist = dist[nr] + for col, nc in enumerate(G): + if nc not in rdist: + continue + dist_mtx[row][col] = rdist[nc] + + if pos is None: + if dim >= 3: + pos = random_layout(G, dim=dim) + elif dim == 2: + pos = circular_layout(G, dim=dim) + else: + pos = dict(zip(G, np.linspace(0, 1, len(G)))) + pos_arr = np.array([pos[n] for n in G]) + + pos = _kamada_kawai_solve(dist_mtx, pos_arr, dim) + + pos = rescale_layout(pos, scale=scale) + center + return dict(zip(G, pos)) + + +def _kamada_kawai_solve(dist_mtx, pos_arr, dim): + # Anneal node locations based on the Kamada-Kawai cost-function, + # using the supplied matrix of preferred inter-node distances, + # and starting locations. + + import numpy as np + import scipy as sp + + meanwt = 1e-3 + costargs = (np, 1 / (dist_mtx + np.eye(dist_mtx.shape[0]) * 1e-3), meanwt, dim) + + optresult = sp.optimize.minimize( + _kamada_kawai_costfn, + pos_arr.ravel(), + method="L-BFGS-B", + args=costargs, + jac=True, + ) + + return optresult.x.reshape((-1, dim)) + + +def _kamada_kawai_costfn(pos_vec, np, invdist, meanweight, dim): + # Cost-function and gradient for Kamada-Kawai layout algorithm + nNodes = invdist.shape[0] + pos_arr = pos_vec.reshape((nNodes, dim)) + + delta = pos_arr[:, np.newaxis, :] - pos_arr[np.newaxis, :, :] + nodesep = np.linalg.norm(delta, axis=-1) + direction = np.einsum("ijk,ij->ijk", delta, 1 / (nodesep + np.eye(nNodes) * 1e-3)) + + offset = nodesep * invdist - 1.0 + offset[np.diag_indices(nNodes)] = 0 + + cost = 0.5 * np.sum(offset**2) + grad = np.einsum("ij,ij,ijk->ik", invdist, offset, direction) - np.einsum( + "ij,ij,ijk->jk", invdist, offset, direction + ) + + # Additional parabolic term to encourage mean position to be near origin: + sumpos = np.sum(pos_arr, axis=0) + cost += 0.5 * meanweight * np.sum(sumpos**2) + grad += meanweight * sumpos + + return (cost, grad.ravel()) + + +def spectral_layout(G, weight="weight", scale=1, center=None, dim=2): + """Position nodes using the eigenvectors of the graph Laplacian. + + Using the unnormalized Laplacian, the layout shows possible clusters of + nodes which are an approximation of the ratio cut. If dim is the number of + dimensions then the positions are the entries of the dim eigenvectors + corresponding to the ascending eigenvalues starting from the second one. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + weight : string or None optional (default='weight') + The edge attribute that holds the numerical value used for + the edge weight. If None, then all edge weights are 1. + + scale : number (default: 1) + Scale factor for positions. + + center : array-like or None + Coordinate pair around which to center the layout. + + dim : int + Dimension of layout. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Examples + -------- + >>> G = nx.path_graph(4) + >>> pos = nx.spectral_layout(G) + + Notes + ----- + Directed graphs will be considered as undirected graphs when + positioning the nodes. + + For larger graphs (>500 nodes) this will use the SciPy sparse + eigenvalue solver (ARPACK). + """ + # handle some special cases that break the eigensolvers + import numpy as np + + G, center = _process_params(G, center, dim) + + if len(G) <= 2: + if len(G) == 0: + pos = np.array([]) + elif len(G) == 1: + pos = np.array([center]) + else: + pos = np.array([np.zeros(dim), np.array(center) * 2.0]) + return dict(zip(G, pos)) + try: + # Sparse matrix + if len(G) < 500: # dense solver is faster for small graphs + raise ValueError + A = nx.to_scipy_sparse_array(G, weight=weight, dtype="d") + # Symmetrize directed graphs + if G.is_directed(): + A = A + np.transpose(A) + pos = _sparse_spectral(A, dim) + except (ImportError, ValueError): + # Dense matrix + A = nx.to_numpy_array(G, weight=weight) + # Symmetrize directed graphs + if G.is_directed(): + A += A.T + pos = _spectral(A, dim) + + pos = rescale_layout(pos, scale=scale) + center + pos = dict(zip(G, pos)) + return pos + + +def _spectral(A, dim=2): + # Input adjacency matrix A + # Uses dense eigenvalue solver from numpy + import numpy as np + + try: + nnodes, _ = A.shape + except AttributeError as err: + msg = "spectral() takes an adjacency matrix as input" + raise nx.NetworkXError(msg) from err + + # form Laplacian matrix where D is diagonal of degrees + D = np.identity(nnodes, dtype=A.dtype) * np.sum(A, axis=1) + L = D - A + + eigenvalues, eigenvectors = np.linalg.eig(L) + # sort and keep smallest nonzero + index = np.argsort(eigenvalues)[1 : dim + 1] # 0 index is zero eigenvalue + return np.real(eigenvectors[:, index]) + + +def _sparse_spectral(A, dim=2): + # Input adjacency matrix A + # Uses sparse eigenvalue solver from scipy + # Could use multilevel methods here, see Koren "On spectral graph drawing" + import numpy as np + import scipy as sp + + try: + nnodes, _ = A.shape + except AttributeError as err: + msg = "sparse_spectral() takes an adjacency matrix as input" + raise nx.NetworkXError(msg) from err + + # form Laplacian matrix + # TODO: Rm csr_array wrapper in favor of spdiags array constructor when available + D = sp.sparse.csr_array(sp.sparse.spdiags(A.sum(axis=1), 0, nnodes, nnodes)) + L = D - A + + k = dim + 1 + # number of Lanczos vectors for ARPACK solver.What is the right scaling? + ncv = max(2 * k + 1, int(np.sqrt(nnodes))) + # return smallest k eigenvalues and eigenvectors + eigenvalues, eigenvectors = sp.sparse.linalg.eigsh(L, k, which="SM", ncv=ncv) + index = np.argsort(eigenvalues)[1:k] # 0 index is zero eigenvalue + return np.real(eigenvectors[:, index]) + + +def planar_layout(G, scale=1, center=None, dim=2): + """Position nodes without edge intersections. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. If G is of type + nx.PlanarEmbedding, the positions are selected accordingly. + + scale : number (default: 1) + Scale factor for positions. + + center : array-like or None + Coordinate pair around which to center the layout. + + dim : int + Dimension of layout. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Raises + ------ + NetworkXException + If G is not planar + + Examples + -------- + >>> G = nx.path_graph(4) + >>> pos = nx.planar_layout(G) + """ + import numpy as np + + if dim != 2: + raise ValueError("can only handle 2 dimensions") + + G, center = _process_params(G, center, dim) + + if len(G) == 0: + return {} + + if isinstance(G, nx.PlanarEmbedding): + embedding = G + else: + is_planar, embedding = nx.check_planarity(G) + if not is_planar: + raise nx.NetworkXException("G is not planar.") + pos = nx.combinatorial_embedding_to_pos(embedding) + node_list = list(embedding) + pos = np.vstack([pos[x] for x in node_list]) + pos = pos.astype(np.float64) + pos = rescale_layout(pos, scale=scale) + center + return dict(zip(node_list, pos)) + + +def spiral_layout(G, scale=1, center=None, dim=2, resolution=0.35, equidistant=False): + """Position nodes in a spiral layout. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + scale : number (default: 1) + Scale factor for positions. + center : array-like or None + Coordinate pair around which to center the layout. + dim : int, default=2 + Dimension of layout, currently only dim=2 is supported. + Other dimension values result in a ValueError. + resolution : float, default=0.35 + The compactness of the spiral layout returned. + Lower values result in more compressed spiral layouts. + equidistant : bool, default=False + If True, nodes will be positioned equidistant from each other + by decreasing angle further from center. + If False, nodes will be positioned at equal angles + from each other by increasing separation further from center. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node + + Raises + ------ + ValueError + If dim != 2 + + Examples + -------- + >>> G = nx.path_graph(4) + >>> pos = nx.spiral_layout(G) + >>> nx.draw(G, pos=pos) + + Notes + ----- + This algorithm currently only works in two dimensions. + + """ + import numpy as np + + if dim != 2: + raise ValueError("can only handle 2 dimensions") + + G, center = _process_params(G, center, dim) + + if len(G) == 0: + return {} + if len(G) == 1: + return {nx.utils.arbitrary_element(G): center} + + pos = [] + if equidistant: + chord = 1 + step = 0.5 + theta = resolution + theta += chord / (step * theta) + for _ in range(len(G)): + r = step * theta + theta += chord / r + pos.append([np.cos(theta) * r, np.sin(theta) * r]) + + else: + dist = np.arange(len(G), dtype=float) + angle = resolution * dist + pos = np.transpose(dist * np.array([np.cos(angle), np.sin(angle)])) + + pos = rescale_layout(np.array(pos), scale=scale) + center + + pos = dict(zip(G, pos)) + + return pos + + +def multipartite_layout(G, subset_key="subset", align="vertical", scale=1, center=None): + """Position nodes in layers of straight lines. + + Parameters + ---------- + G : NetworkX graph or list of nodes + A position will be assigned to every node in G. + + subset_key : string or dict (default='subset') + If a string, the key of node data in G that holds the node subset. + If a dict, keyed by layer number to the nodes in that layer/subset. + + align : string (default='vertical') + The alignment of nodes. Vertical or horizontal. + + scale : number (default: 1) + Scale factor for positions. + + center : array-like or None + Coordinate pair around which to center the layout. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node. + + Examples + -------- + >>> G = nx.complete_multipartite_graph(28, 16, 10) + >>> pos = nx.multipartite_layout(G) + + or use a dict to provide the layers of the layout + + >>> G = nx.Graph([(0, 1), (1, 2), (1, 3), (3, 4)]) + >>> layers = {"a": [0], "b": [1], "c": [2, 3], "d": [4]} + >>> pos = nx.multipartite_layout(G, subset_key=layers) + + Notes + ----- + This algorithm currently only works in two dimensions and does not + try to minimize edge crossings. + + Network does not need to be a complete multipartite graph. As long as nodes + have subset_key data, they will be placed in the corresponding layers. + + """ + import numpy as np + + if align not in ("vertical", "horizontal"): + msg = "align must be either vertical or horizontal." + raise ValueError(msg) + + G, center = _process_params(G, center=center, dim=2) + if len(G) == 0: + return {} + + try: + # check if subset_key is dict-like + if len(G) != sum(len(nodes) for nodes in subset_key.values()): + raise nx.NetworkXError( + "all nodes must be in one subset of `subset_key` dict" + ) + except AttributeError: + # subset_key is not a dict, hence a string + node_to_subset = nx.get_node_attributes(G, subset_key) + if len(node_to_subset) != len(G): + raise nx.NetworkXError( + f"all nodes need a subset_key attribute: {subset_key}" + ) + subset_key = nx.utils.groups(node_to_subset) + + # Sort by layer, if possible + try: + layers = dict(sorted(subset_key.items())) + except TypeError: + layers = subset_key + + pos = None + nodes = [] + width = len(layers) + for i, layer in enumerate(layers.values()): + height = len(layer) + xs = np.repeat(i, height) + ys = np.arange(0, height, dtype=float) + offset = ((width - 1) / 2, (height - 1) / 2) + layer_pos = np.column_stack([xs, ys]) - offset + if pos is None: + pos = layer_pos + else: + pos = np.concatenate([pos, layer_pos]) + nodes.extend(layer) + pos = rescale_layout(pos, scale=scale) + center + if align == "horizontal": + pos = pos[:, ::-1] # swap x and y coords + pos = dict(zip(nodes, pos)) + return pos + + +@np_random_state("seed") +def arf_layout( + G, + pos=None, + scaling=1, + a=1.1, + etol=1e-6, + dt=1e-3, + max_iter=1000, + *, + seed=None, +): + """Arf layout for networkx + + The attractive and repulsive forces (arf) layout [1] + improves the spring layout in three ways. First, it + prevents congestion of highly connected nodes due to + strong forcing between nodes. Second, it utilizes the + layout space more effectively by preventing large gaps + that spring layout tends to create. Lastly, the arf + layout represents symmetries in the layout better than + the default spring layout. + + Parameters + ---------- + G : nx.Graph or nx.DiGraph + Networkx graph. + pos : dict + Initial position of the nodes. If set to None a + random layout will be used. + scaling : float + Scales the radius of the circular layout space. + a : float + Strength of springs between connected nodes. Should be larger than 1. The greater a, the clearer the separation ofunconnected sub clusters. + etol : float + Gradient sum of spring forces must be larger than `etol` before successful termination. + dt : float + Time step for force differential equation simulations. + max_iter : int + Max iterations before termination of the algorithm. + seed : int, RandomState instance or None optional (default=None) + Set the random state for deterministic node layouts. + If int, `seed` is the seed used by the random number generator, + if numpy.random.RandomState instance, `seed` is the random + number generator, + if None, the random number generator is the RandomState instance used + by numpy.random. + + References + .. [1] "Self-Organization Applied to Dynamic Network Layout", M. Geipel, + International Journal of Modern Physics C, 2007, Vol 18, No 10, pp. 1537-1549. + https://doi.org/10.1142/S0129183107011558 https://arxiv.org/abs/0704.1748 + + Returns + ------- + pos : dict + A dictionary of positions keyed by node. + + Examples + -------- + >>> G = nx.grid_graph((5, 5)) + >>> pos = nx.arf_layout(G) + + """ + import warnings + + import numpy as np + + if a <= 1: + msg = "The parameter a should be larger than 1" + raise ValueError(msg) + + pos_tmp = nx.random_layout(G, seed=seed) + if pos is None: + pos = pos_tmp + else: + for node in G.nodes(): + if node not in pos: + pos[node] = pos_tmp[node].copy() + + # Initialize spring constant matrix + N = len(G) + # No nodes no computation + if N == 0: + return pos + + # init force of springs + K = np.ones((N, N)) - np.eye(N) + node_order = {node: i for i, node in enumerate(G)} + for x, y in G.edges(): + if x != y: + idx, jdx = (node_order[i] for i in (x, y)) + K[idx, jdx] = a + + # vectorize values + p = np.asarray(list(pos.values())) + + # equation 10 in [1] + rho = scaling * np.sqrt(N) + + # looping variables + error = etol + 1 + n_iter = 0 + while error > etol: + diff = p[:, np.newaxis] - p[np.newaxis] + A = np.linalg.norm(diff, axis=-1)[..., np.newaxis] + # attraction_force - repulsions force + # suppress nans due to division; caused by diagonal set to zero. + # Does not affect the computation due to nansum + with warnings.catch_warnings(): + warnings.simplefilter("ignore") + change = K[..., np.newaxis] * diff - rho / A * diff + change = np.nansum(change, axis=0) + p += change * dt + + error = np.linalg.norm(change, axis=-1).sum() + if n_iter > max_iter: + break + n_iter += 1 + return dict(zip(G.nodes(), p)) + + +@np_random_state("seed") +def forceatlas2_layout( + G, + pos=None, + *, + max_iter=100, + jitter_tolerance=1.0, + scaling_ratio=2.0, + gravity=1.0, + distributed_action=False, + strong_gravity=False, + node_mass=None, + node_size=None, + weight=None, + dissuade_hubs=False, + linlog=False, + seed=None, + dim=2, +): + """Position nodes using the ForceAtlas2 force-directed layout algorithm. + + This function applies the ForceAtlas2 layout algorithm [1]_ to a NetworkX graph, + positioning the nodes in a way that visually represents the structure of the graph. + The algorithm uses physical simulation to minimize the energy of the system, + resulting in a more readable layout. + + Parameters + ---------- + G : nx.Graph + A NetworkX graph to be laid out. + pos : dict or None, optional + Initial positions of the nodes. If None, random initial positions are used. + max_iter : int (default: 100) + Number of iterations for the layout optimization. + jitter_tolerance : float (default: 1.0) + Controls the tolerance for adjusting the speed of layout generation. + scaling_ratio : float (default: 2.0) + Determines the scaling of attraction and repulsion forces. + distributed_attraction : bool (default: False) + Distributes the attraction force evenly among nodes. + strong_gravity : bool (default: False) + Applies a strong gravitational pull towards the center. + node_mass : dict or None, optional + Maps nodes to their masses, influencing the attraction to other nodes. + node_size : dict or None, optional + Maps nodes to their sizes, preventing crowding by creating a halo effect. + dissuade_hubs : bool (default: False) + Prevents the clustering of hub nodes. + linlog : bool (default: False) + Uses logarithmic attraction instead of linear. + seed : int, RandomState instance or None optional (default=None) + Used only for the initial positions in the algorithm. + Set the random state for deterministic node layouts. + If int, `seed` is the seed used by the random number generator, + if numpy.random.RandomState instance, `seed` is the random + number generator, + if None, the random number generator is the RandomState instance used + by numpy.random. + dim : int (default: 2) + Sets the dimensions for the layout. Ignored if `pos` is provided. + + Examples + -------- + >>> import networkx as nx + >>> G = nx.florentine_families_graph() + >>> pos = nx.forceatlas2_layout(G) + >>> nx.draw(G, pos=pos) + + References + ---------- + .. [1] Jacomy, M., Venturini, T., Heymann, S., & Bastian, M. (2014). + ForceAtlas2, a continuous graph layout algorithm for handy network + visualization designed for the Gephi software. PloS one, 9(6), e98679. + https://doi.org/10.1371/journal.pone.0098679 + """ + import numpy as np + + if len(G) == 0: + return {} + # parse optional pos positions + if pos is None: + pos = nx.random_layout(G, dim=dim, seed=seed) + pos_arr = np.array(list(pos.values())) + else: + # set default node interval within the initial pos values + pos_init = np.array(list(pos.values())) + max_pos = pos_init.max(axis=0) + min_pos = pos_init.min(axis=0) + dim = max_pos.size + pos_arr = min_pos + seed.rand(len(G), dim) * (max_pos - min_pos) + for idx, node in enumerate(G): + if node in pos: + pos_arr[idx] = pos[node].copy() + + mass = np.zeros(len(G)) + size = np.zeros(len(G)) + + # Only adjust for size when the users specifies size other than default (1) + adjust_sizes = False + if node_size is None: + node_size = {} + else: + adjust_sizes = True + + if node_mass is None: + node_mass = {} + + for idx, node in enumerate(G): + mass[idx] = node_mass.get(node, G.degree(node) + 1) + size[idx] = node_size.get(node, 1) + + n = len(G) + gravities = np.zeros((n, dim)) + attraction = np.zeros((n, dim)) + repulsion = np.zeros((n, dim)) + A = nx.to_numpy_array(G, weight=weight) + + def estimate_factor(n, swing, traction, speed, speed_efficiency, jitter_tolerance): + """Computes the scaling factor for the force in the ForceAtlas2 layout algorithm. + + This helper function adjusts the speed and + efficiency of the layout generation based on the + current state of the system, such as the number of + nodes, current swing, and traction forces. + + Parameters + ---------- + n : int + Number of nodes in the graph. + swing : float + The current swing, representing the oscillation of the nodes. + traction : float + The current traction force, representing the attraction between nodes. + speed : float + The current speed of the layout generation. + speed_efficiency : float + The efficiency of the current speed, influencing how fast the layout converges. + jitter_tolerance : float + The tolerance for jitter, affecting how much speed adjustment is allowed. + + Returns + ------- + tuple + A tuple containing the updated speed and speed efficiency. + + Notes + ----- + This function is a part of the ForceAtlas2 layout algorithm and is used to dynamically adjust the + layout parameters to achieve an optimal and stable visualization. + + """ + import numpy as np + + # estimate jitter + opt_jitter = 0.05 * np.sqrt(n) + min_jitter = np.sqrt(opt_jitter) + max_jitter = 10 + min_speed_efficiency = 0.05 + + other = min(max_jitter, opt_jitter * traction / n**2) + jitter = jitter_tolerance * max(min_jitter, other) + + if swing / traction > 2.0: + if speed_efficiency > min_speed_efficiency: + speed_efficiency *= 0.5 + jitter = max(jitter, jitter_tolerance) + if swing == 0: + target_speed = np.inf + else: + target_speed = jitter * speed_efficiency * traction / swing + + if swing > jitter * traction: + if speed_efficiency > min_speed_efficiency: + speed_efficiency *= 0.7 + elif speed < 1000: + speed_efficiency *= 1.3 + + max_rise = 0.5 + speed = speed + min(target_speed - speed, max_rise * speed) + return speed, speed_efficiency + + speed = 1 + speed_efficiency = 1 + swing = 1 + traction = 1 + for _ in range(max_iter): + # compute pairwise difference + diff = pos_arr[:, None] - pos_arr[None] + # compute pairwise distance + distance = np.linalg.norm(diff, axis=-1) + + # linear attraction + if linlog: + attraction = -np.log(1 + distance) / distance + np.fill_diagonal(attraction, 0) + attraction = np.einsum("ij, ij -> ij", attraction, A) + attraction = np.einsum("ijk, ij -> ik", diff, attraction) + + else: + attraction = -np.einsum("ijk, ij -> ik", diff, A) + + if distributed_action: + attraction /= mass[:, None] + + # repulsion + tmp = mass[:, None] @ mass[None] + if adjust_sizes: + distance += -size[:, None] - size[None] + + d2 = distance**2 + # remove self-interaction + np.fill_diagonal(tmp, 0) + np.fill_diagonal(d2, 1) + factor = (tmp / d2) * scaling_ratio + repulsion = np.einsum("ijk, ij -> ik", diff, factor) + + # gravity + gravities = ( + -gravity + * mass[:, None] + * pos_arr + / np.linalg.norm(pos_arr, axis=-1)[:, None] + ) + + if strong_gravity: + gravities *= np.linalg.norm(pos_arr, axis=-1)[:, None] + # total forces + update = attraction + repulsion + gravities + + # compute total swing and traction + swing += (mass * np.linalg.norm(pos_arr - update, axis=-1)).sum() + traction += (0.5 * mass * np.linalg.norm(pos_arr + update, axis=-1)).sum() + + speed, speed_efficiency = estimate_factor( + n, + swing, + traction, + speed, + speed_efficiency, + jitter_tolerance, + ) + + # update pos + if adjust_sizes: + swinging = mass * np.linalg.norm(update, axis=-1) + factor = 0.1 * speed / (1 + np.sqrt(speed * swinging)) + df = np.linalg.norm(update, axis=-1) + factor = np.minimum(factor * df, 10.0 * np.ones(df.shape)) / df + else: + swinging = mass * np.linalg.norm(update, axis=-1) + factor = speed / (1 + np.sqrt(speed * swinging)) + + pos_arr += update * factor[:, None] + if abs((update * factor[:, None]).sum()) < 1e-10: + break + + return dict(zip(G, pos_arr)) + + +def rescale_layout(pos, scale=1): + """Returns scaled position array to (-scale, scale) in all axes. + + The function acts on NumPy arrays which hold position information. + Each position is one row of the array. The dimension of the space + equals the number of columns. Each coordinate in one column. + + To rescale, the mean (center) is subtracted from each axis separately. + Then all values are scaled so that the largest magnitude value + from all axes equals `scale` (thus, the aspect ratio is preserved). + The resulting NumPy Array is returned (order of rows unchanged). + + Parameters + ---------- + pos : numpy array + positions to be scaled. Each row is a position. + + scale : number (default: 1) + The size of the resulting extent in all directions. + + Returns + ------- + pos : numpy array + scaled positions. Each row is a position. + + See Also + -------- + rescale_layout_dict + """ + import numpy as np + + # Find max length over all dimensions + pos -= pos.mean(axis=0) + lim = np.abs(pos).max() # max coordinate for all axes + # rescale to (-scale, scale) in all directions, preserves aspect + if lim > 0: + pos *= scale / lim + return pos + + +def rescale_layout_dict(pos, scale=1): + """Return a dictionary of scaled positions keyed by node + + Parameters + ---------- + pos : A dictionary of positions keyed by node + + scale : number (default: 1) + The size of the resulting extent in all directions. + + Returns + ------- + pos : A dictionary of positions keyed by node + + Examples + -------- + >>> import numpy as np + >>> pos = {0: np.array((0, 0)), 1: np.array((1, 1)), 2: np.array((0.5, 0.5))} + >>> nx.rescale_layout_dict(pos) + {0: array([-1., -1.]), 1: array([1., 1.]), 2: array([0., 0.])} + + >>> pos = {0: np.array((0, 0)), 1: np.array((-1, 1)), 2: np.array((-0.5, 0.5))} + >>> nx.rescale_layout_dict(pos, scale=2) + {0: array([ 2., -2.]), 1: array([-2., 2.]), 2: array([0., 0.])} + + See Also + -------- + rescale_layout + """ + import numpy as np + + if not pos: # empty_graph + return {} + pos_v = np.array(list(pos.values())) + pos_v = rescale_layout(pos_v, scale=scale) + return dict(zip(pos, pos_v)) + + +def bfs_layout(G, start, *, align="vertical", scale=1, center=None): + """Position nodes according to breadth-first search algorithm. + + Parameters + ---------- + G : NetworkX graph + A position will be assigned to every node in G. + + start : node in `G` + Starting node for bfs + + center : array-like or None + Coordinate pair around which to center the layout. + + Returns + ------- + pos : dict + A dictionary of positions keyed by node. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> pos = nx.bfs_layout(G, 0) + + Notes + ----- + This algorithm currently only works in two dimensions and does not + try to minimize edge crossings. + + """ + G, center = _process_params(G, center, 2) + + # Compute layers with BFS + layers = dict(enumerate(nx.bfs_layers(G, start))) + + if len(G) != sum(len(nodes) for nodes in layers.values()): + raise nx.NetworkXError( + "bfs_layout didn't include all nodes. Perhaps use input graph:\n" + " G.subgraph(nx.node_connected_component(G, start))" + ) + + # Compute node positions with multipartite_layout + return multipartite_layout( + G, subset_key=layers, align=align, scale=scale, center=center + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_agraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_agraph.py new file mode 100644 index 0000000000000000000000000000000000000000..b394729fc6ecec4a9ffb1acd10ec52d6450a0823 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_agraph.py @@ -0,0 +1,464 @@ +""" +*************** +Graphviz AGraph +*************** + +Interface to pygraphviz AGraph class. + +Examples +-------- +>>> G = nx.complete_graph(5) +>>> A = nx.nx_agraph.to_agraph(G) +>>> H = nx.nx_agraph.from_agraph(A) + +See Also +-------- + - Pygraphviz: http://pygraphviz.github.io/ + - Graphviz: https://www.graphviz.org + - DOT Language: http://www.graphviz.org/doc/info/lang.html +""" + +import os +import tempfile + +import networkx as nx + +__all__ = [ + "from_agraph", + "to_agraph", + "write_dot", + "read_dot", + "graphviz_layout", + "pygraphviz_layout", + "view_pygraphviz", +] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def from_agraph(A, create_using=None): + """Returns a NetworkX Graph or DiGraph from a PyGraphviz graph. + + Parameters + ---------- + A : PyGraphviz AGraph + A graph created with PyGraphviz + + create_using : NetworkX graph constructor, optional (default=None) + Graph type to create. If graph instance, then cleared before populated. + If `None`, then the appropriate Graph type is inferred from `A`. + + Examples + -------- + >>> K5 = nx.complete_graph(5) + >>> A = nx.nx_agraph.to_agraph(K5) + >>> G = nx.nx_agraph.from_agraph(A) + + Notes + ----- + The Graph G will have a dictionary G.graph_attr containing + the default graphviz attributes for graphs, nodes and edges. + + Default node attributes will be in the dictionary G.node_attr + which is keyed by node. + + Edge attributes will be returned as edge data in G. With + edge_attr=False the edge data will be the Graphviz edge weight + attribute or the value 1 if no edge weight attribute is found. + + """ + if create_using is None: + if A.is_directed(): + if A.is_strict(): + create_using = nx.DiGraph + else: + create_using = nx.MultiDiGraph + else: + if A.is_strict(): + create_using = nx.Graph + else: + create_using = nx.MultiGraph + + # assign defaults + N = nx.empty_graph(0, create_using) + if A.name is not None: + N.name = A.name + + # add graph attributes + N.graph.update(A.graph_attr) + + # add nodes, attributes to N.node_attr + for n in A.nodes(): + str_attr = {str(k): v for k, v in n.attr.items()} + N.add_node(str(n), **str_attr) + + # add edges, assign edge data as dictionary of attributes + for e in A.edges(): + u, v = str(e[0]), str(e[1]) + attr = dict(e.attr) + str_attr = {str(k): v for k, v in attr.items()} + if not N.is_multigraph(): + if e.name is not None: + str_attr["key"] = e.name + N.add_edge(u, v, **str_attr) + else: + N.add_edge(u, v, key=e.name, **str_attr) + + # add default attributes for graph, nodes, and edges + # hang them on N.graph_attr + N.graph["graph"] = dict(A.graph_attr) + N.graph["node"] = dict(A.node_attr) + N.graph["edge"] = dict(A.edge_attr) + return N + + +def to_agraph(N): + """Returns a pygraphviz graph from a NetworkX graph N. + + Parameters + ---------- + N : NetworkX graph + A graph created with NetworkX + + Examples + -------- + >>> K5 = nx.complete_graph(5) + >>> A = nx.nx_agraph.to_agraph(K5) + + Notes + ----- + If N has an dict N.graph_attr an attempt will be made first + to copy properties attached to the graph (see from_agraph) + and then updated with the calling arguments if any. + + """ + try: + import pygraphviz + except ImportError as err: + raise ImportError("requires pygraphviz http://pygraphviz.github.io/") from err + directed = N.is_directed() + strict = nx.number_of_selfloops(N) == 0 and not N.is_multigraph() + + A = pygraphviz.AGraph(name=N.name, strict=strict, directed=directed) + + # default graph attributes + A.graph_attr.update(N.graph.get("graph", {})) + A.node_attr.update(N.graph.get("node", {})) + A.edge_attr.update(N.graph.get("edge", {})) + + A.graph_attr.update( + (k, v) for k, v in N.graph.items() if k not in ("graph", "node", "edge") + ) + + # add nodes + for n, nodedata in N.nodes(data=True): + A.add_node(n) + # Add node data + a = A.get_node(n) + for key, val in nodedata.items(): + if key == "pos": + a.attr["pos"] = f"{val[0]},{val[1]}!" + else: + a.attr[key] = str(val) + + # loop over edges + if N.is_multigraph(): + for u, v, key, edgedata in N.edges(data=True, keys=True): + str_edgedata = {k: str(v) for k, v in edgedata.items() if k != "key"} + A.add_edge(u, v, key=str(key)) + # Add edge data + a = A.get_edge(u, v) + a.attr.update(str_edgedata) + + else: + for u, v, edgedata in N.edges(data=True): + str_edgedata = {k: str(v) for k, v in edgedata.items()} + A.add_edge(u, v) + # Add edge data + a = A.get_edge(u, v) + a.attr.update(str_edgedata) + + return A + + +def write_dot(G, path): + """Write NetworkX graph G to Graphviz dot format on path. + + Parameters + ---------- + G : graph + A networkx graph + path : filename + Filename or file handle to write + + Notes + ----- + To use a specific graph layout, call ``A.layout`` prior to `write_dot`. + Note that some graphviz layouts are not guaranteed to be deterministic, + see https://gitlab.com/graphviz/graphviz/-/issues/1767 for more info. + """ + A = to_agraph(G) + A.write(path) + A.clear() + return + + +@nx._dispatchable(name="agraph_read_dot", graphs=None, returns_graph=True) +def read_dot(path): + """Returns a NetworkX graph from a dot file on path. + + Parameters + ---------- + path : file or string + File name or file handle to read. + """ + try: + import pygraphviz + except ImportError as err: + raise ImportError( + "read_dot() requires pygraphviz http://pygraphviz.github.io/" + ) from err + A = pygraphviz.AGraph(file=path) + gr = from_agraph(A) + A.clear() + return gr + + +def graphviz_layout(G, prog="neato", root=None, args=""): + """Create node positions for G using Graphviz. + + Parameters + ---------- + G : NetworkX graph + A graph created with NetworkX + prog : string + Name of Graphviz layout program + root : string, optional + Root node for twopi layout + args : string, optional + Extra arguments to Graphviz layout program + + Returns + ------- + Dictionary of x, y, positions keyed by node. + + Examples + -------- + >>> G = nx.petersen_graph() + >>> pos = nx.nx_agraph.graphviz_layout(G) + >>> pos = nx.nx_agraph.graphviz_layout(G, prog="dot") + + Notes + ----- + This is a wrapper for pygraphviz_layout. + + Note that some graphviz layouts are not guaranteed to be deterministic, + see https://gitlab.com/graphviz/graphviz/-/issues/1767 for more info. + """ + return pygraphviz_layout(G, prog=prog, root=root, args=args) + + +def pygraphviz_layout(G, prog="neato", root=None, args=""): + """Create node positions for G using Graphviz. + + Parameters + ---------- + G : NetworkX graph + A graph created with NetworkX + prog : string + Name of Graphviz layout program + root : string, optional + Root node for twopi layout + args : string, optional + Extra arguments to Graphviz layout program + + Returns + ------- + node_pos : dict + Dictionary of x, y, positions keyed by node. + + Examples + -------- + >>> G = nx.petersen_graph() + >>> pos = nx.nx_agraph.graphviz_layout(G) + >>> pos = nx.nx_agraph.graphviz_layout(G, prog="dot") + + Notes + ----- + If you use complex node objects, they may have the same string + representation and GraphViz could treat them as the same node. + The layout may assign both nodes a single location. See Issue #1568 + If this occurs in your case, consider relabeling the nodes just + for the layout computation using something similar to:: + + >>> H = nx.convert_node_labels_to_integers(G, label_attribute="node_label") + >>> H_layout = nx.nx_agraph.pygraphviz_layout(G, prog="dot") + >>> G_layout = {H.nodes[n]["node_label"]: p for n, p in H_layout.items()} + + Note that some graphviz layouts are not guaranteed to be deterministic, + see https://gitlab.com/graphviz/graphviz/-/issues/1767 for more info. + """ + try: + import pygraphviz + except ImportError as err: + raise ImportError("requires pygraphviz http://pygraphviz.github.io/") from err + if root is not None: + args += f"-Groot={root}" + A = to_agraph(G) + A.layout(prog=prog, args=args) + node_pos = {} + for n in G: + node = pygraphviz.Node(A, n) + try: + xs = node.attr["pos"].split(",") + node_pos[n] = tuple(float(x) for x in xs) + except: + print("no position for node", n) + node_pos[n] = (0.0, 0.0) + return node_pos + + +@nx.utils.open_file(5, "w+b") +def view_pygraphviz( + G, edgelabel=None, prog="dot", args="", suffix="", path=None, show=True +): + """Views the graph G using the specified layout algorithm. + + Parameters + ---------- + G : NetworkX graph + The machine to draw. + edgelabel : str, callable, None + If a string, then it specifies the edge attribute to be displayed + on the edge labels. If a callable, then it is called for each + edge and it should return the string to be displayed on the edges. + The function signature of `edgelabel` should be edgelabel(data), + where `data` is the edge attribute dictionary. + prog : string + Name of Graphviz layout program. + args : str + Additional arguments to pass to the Graphviz layout program. + suffix : str + If `filename` is None, we save to a temporary file. The value of + `suffix` will appear at the tail end of the temporary filename. + path : str, None + The filename used to save the image. If None, save to a temporary + file. File formats are the same as those from pygraphviz.agraph.draw. + show : bool, default = True + Whether to display the graph with :mod:`PIL.Image.show`, + default is `True`. If `False`, the rendered graph is still available + at `path`. + + Returns + ------- + path : str + The filename of the generated image. + A : PyGraphviz graph + The PyGraphviz graph instance used to generate the image. + + Notes + ----- + If this function is called in succession too quickly, sometimes the + image is not displayed. So you might consider time.sleep(.5) between + calls if you experience problems. + + Note that some graphviz layouts are not guaranteed to be deterministic, + see https://gitlab.com/graphviz/graphviz/-/issues/1767 for more info. + + """ + if not len(G): + raise nx.NetworkXException("An empty graph cannot be drawn.") + + # If we are providing default values for graphviz, these must be set + # before any nodes or edges are added to the PyGraphviz graph object. + # The reason for this is that default values only affect incoming objects. + # If you change the default values after the objects have been added, + # then they inherit no value and are set only if explicitly set. + + # to_agraph() uses these values. + attrs = ["edge", "node", "graph"] + for attr in attrs: + if attr not in G.graph: + G.graph[attr] = {} + + # These are the default values. + edge_attrs = {"fontsize": "10"} + node_attrs = { + "style": "filled", + "fillcolor": "#0000FF40", + "height": "0.75", + "width": "0.75", + "shape": "circle", + } + graph_attrs = {} + + def update_attrs(which, attrs): + # Update graph attributes. Return list of those which were added. + added = [] + for k, v in attrs.items(): + if k not in G.graph[which]: + G.graph[which][k] = v + added.append(k) + + def clean_attrs(which, added): + # Remove added attributes + for attr in added: + del G.graph[which][attr] + if not G.graph[which]: + del G.graph[which] + + # Update all default values + update_attrs("edge", edge_attrs) + update_attrs("node", node_attrs) + update_attrs("graph", graph_attrs) + + # Convert to agraph, so we inherit default values + A = to_agraph(G) + + # Remove the default values we added to the original graph. + clean_attrs("edge", edge_attrs) + clean_attrs("node", node_attrs) + clean_attrs("graph", graph_attrs) + + # If the user passed in an edgelabel, we update the labels for all edges. + if edgelabel is not None: + if not callable(edgelabel): + + def func(data): + return "".join([" ", str(data[edgelabel]), " "]) + + else: + func = edgelabel + + # update all the edge labels + if G.is_multigraph(): + for u, v, key, data in G.edges(keys=True, data=True): + # PyGraphviz doesn't convert the key to a string. See #339 + edge = A.get_edge(u, v, str(key)) + edge.attr["label"] = str(func(data)) + else: + for u, v, data in G.edges(data=True): + edge = A.get_edge(u, v) + edge.attr["label"] = str(func(data)) + + if path is None: + ext = "png" + if suffix: + suffix = f"_{suffix}.{ext}" + else: + suffix = f".{ext}" + path = tempfile.NamedTemporaryFile(suffix=suffix, delete=False) + else: + # Assume the decorator worked and it is a file-object. + pass + + # Write graph to file + A.draw(path=path, format=None, prog=prog, args=args) + path.close() + + # Show graph in a new window (depends on platform configuration) + if show: + from PIL import Image + + Image.open(path.name).show() + + return path.name, A diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_latex.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_latex.py new file mode 100644 index 0000000000000000000000000000000000000000..5fdbf78baed7232628f39ae1429edcfa39be7506 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_latex.py @@ -0,0 +1,572 @@ +r""" +***** +LaTeX +***** + +Export NetworkX graphs in LaTeX format using the TikZ library within TeX/LaTeX. +Usually, you will want the drawing to appear in a figure environment so +you use ``to_latex(G, caption="A caption")``. If you want the raw +drawing commands without a figure environment use :func:`to_latex_raw`. +And if you want to write to a file instead of just returning the latex +code as a string, use ``write_latex(G, "filename.tex", caption="A caption")``. + +To construct a figure with subfigures for each graph to be shown, provide +``to_latex`` or ``write_latex`` a list of graphs, a list of subcaptions, +and a number of rows of subfigures inside the figure. + +To be able to refer to the figures or subfigures in latex using ``\\ref``, +the keyword ``latex_label`` is available for figures and `sub_labels` for +a list of labels, one for each subfigure. + +We intend to eventually provide an interface to the TikZ Graph +features which include e.g. layout algorithms. + +Let us know via github what you'd like to see available, or better yet +give us some code to do it, or even better make a github pull request +to add the feature. + +The TikZ approach +================= +Drawing options can be stored on the graph as node/edge attributes, or +can be provided as dicts keyed by node/edge to a string of the options +for that node/edge. Similarly a label can be shown for each node/edge +by specifying the labels as graph node/edge attributes or by providing +a dict keyed by node/edge to the text to be written for that node/edge. + +Options for the tikzpicture environment (e.g. "[scale=2]") can be provided +via a keyword argument. Similarly default node and edge options can be +provided through keywords arguments. The default node options are applied +to the single TikZ "path" that draws all nodes (and no edges). The default edge +options are applied to a TikZ "scope" which contains a path for each edge. + +Examples +======== +>>> G = nx.path_graph(3) +>>> nx.write_latex(G, "just_my_figure.tex", as_document=True) +>>> nx.write_latex(G, "my_figure.tex", caption="A path graph", latex_label="fig1") +>>> latex_code = nx.to_latex(G) # a string rather than a file + +You can change many features of the nodes and edges. + +>>> G = nx.path_graph(4, create_using=nx.DiGraph) +>>> pos = {n: (n, n) for n in G} # nodes set on a line + +>>> G.nodes[0]["style"] = "blue" +>>> G.nodes[2]["style"] = "line width=3,draw" +>>> G.nodes[3]["label"] = "Stop" +>>> G.edges[(0, 1)]["label"] = "1st Step" +>>> G.edges[(0, 1)]["label_opts"] = "near start" +>>> G.edges[(1, 2)]["style"] = "line width=3" +>>> G.edges[(1, 2)]["label"] = "2nd Step" +>>> G.edges[(2, 3)]["style"] = "green" +>>> G.edges[(2, 3)]["label"] = "3rd Step" +>>> G.edges[(2, 3)]["label_opts"] = "near end" + +>>> nx.write_latex(G, "latex_graph.tex", pos=pos, as_document=True) + +Then compile the LaTeX using something like ``pdflatex latex_graph.tex`` +and view the pdf file created: ``latex_graph.pdf``. + +If you want **subfigures** each containing one graph, you can input a list of graphs. + +>>> H1 = nx.path_graph(4) +>>> H2 = nx.complete_graph(4) +>>> H3 = nx.path_graph(8) +>>> H4 = nx.complete_graph(8) +>>> graphs = [H1, H2, H3, H4] +>>> caps = ["Path 4", "Complete graph 4", "Path 8", "Complete graph 8"] +>>> lbls = ["fig2a", "fig2b", "fig2c", "fig2d"] +>>> nx.write_latex(graphs, "subfigs.tex", n_rows=2, sub_captions=caps, sub_labels=lbls) +>>> latex_code = nx.to_latex(graphs, n_rows=2, sub_captions=caps, sub_labels=lbls) + +>>> node_color = {0: "red", 1: "orange", 2: "blue", 3: "gray!90"} +>>> edge_width = {e: "line width=1.5" for e in H3.edges} +>>> pos = nx.circular_layout(H3) +>>> latex_code = nx.to_latex(H3, pos, node_options=node_color, edge_options=edge_width) +>>> print(latex_code) +\documentclass{report} +\usepackage{tikz} +\usepackage{subcaption} + +\begin{document} +\begin{figure} + \begin{tikzpicture} + \draw + (1.0, 0.0) node[red] (0){0} + (0.707, 0.707) node[orange] (1){1} + (-0.0, 1.0) node[blue] (2){2} + (-0.707, 0.707) node[gray!90] (3){3} + (-1.0, -0.0) node (4){4} + (-0.707, -0.707) node (5){5} + (0.0, -1.0) node (6){6} + (0.707, -0.707) node (7){7}; + \begin{scope}[-] + \draw[line width=1.5] (0) to (1); + \draw[line width=1.5] (1) to (2); + \draw[line width=1.5] (2) to (3); + \draw[line width=1.5] (3) to (4); + \draw[line width=1.5] (4) to (5); + \draw[line width=1.5] (5) to (6); + \draw[line width=1.5] (6) to (7); + \end{scope} + \end{tikzpicture} +\end{figure} +\end{document} + +Notes +----- +If you want to change the preamble/postamble of the figure/document/subfigure +environment, use the keyword arguments: `figure_wrapper`, `document_wrapper`, +`subfigure_wrapper`. The default values are stored in private variables +e.g. ``nx.nx_layout._DOCUMENT_WRAPPER`` + +References +---------- +TikZ: https://tikz.dev/ + +TikZ options details: https://tikz.dev/tikz-actions +""" + +import numbers +import os + +import networkx as nx + +__all__ = [ + "to_latex_raw", + "to_latex", + "write_latex", +] + + +@nx.utils.not_implemented_for("multigraph") +def to_latex_raw( + G, + pos="pos", + tikz_options="", + default_node_options="", + node_options="node_options", + node_label="label", + default_edge_options="", + edge_options="edge_options", + edge_label="label", + edge_label_options="edge_label_options", +): + """Return a string of the LaTeX/TikZ code to draw `G` + + This function produces just the code for the tikzpicture + without any enclosing environment. + + Parameters + ========== + G : NetworkX graph + The NetworkX graph to be drawn + pos : string or dict (default "pos") + The name of the node attribute on `G` that holds the position of each node. + Positions can be sequences of length 2 with numbers for (x,y) coordinates. + They can also be strings to denote positions in TikZ style, such as (x, y) + or (angle:radius). + If a dict, it should be keyed by node to a position. + If an empty dict, a circular layout is computed by TikZ. + tikz_options : string + The tikzpicture options description defining the options for the picture. + Often large scale options like `[scale=2]`. + default_node_options : string + The draw options for a path of nodes. Individual node options override these. + node_options : string or dict + The name of the node attribute on `G` that holds the options for each node. + Or a dict keyed by node to a string holding the options for that node. + node_label : string or dict + The name of the node attribute on `G` that holds the node label (text) + displayed for each node. If the attribute is "" or not present, the node + itself is drawn as a string. LaTeX processing such as ``"$A_1$"`` is allowed. + Or a dict keyed by node to a string holding the label for that node. + default_edge_options : string + The options for the scope drawing all edges. The default is "[-]" for + undirected graphs and "[->]" for directed graphs. + edge_options : string or dict + The name of the edge attribute on `G` that holds the options for each edge. + If the edge is a self-loop and ``"loop" not in edge_options`` the option + "loop," is added to the options for the self-loop edge. Hence you can + use "[loop above]" explicitly, but the default is "[loop]". + Or a dict keyed by edge to a string holding the options for that edge. + edge_label : string or dict + The name of the edge attribute on `G` that holds the edge label (text) + displayed for each edge. If the attribute is "" or not present, no edge + label is drawn. + Or a dict keyed by edge to a string holding the label for that edge. + edge_label_options : string or dict + The name of the edge attribute on `G` that holds the label options for + each edge. For example, "[sloped,above,blue]". The default is no options. + Or a dict keyed by edge to a string holding the label options for that edge. + + Returns + ======= + latex_code : string + The text string which draws the desired graph(s) when compiled by LaTeX. + + See Also + ======== + to_latex + write_latex + """ + i4 = "\n " + i8 = "\n " + + # set up position dict + # TODO allow pos to be None and use a nice TikZ default + if not isinstance(pos, dict): + pos = nx.get_node_attributes(G, pos) + if not pos: + # circular layout with radius 2 + pos = {n: f"({round(360.0 * i / len(G), 3)}:2)" for i, n in enumerate(G)} + for node in G: + if node not in pos: + raise nx.NetworkXError(f"node {node} has no specified pos {pos}") + posnode = pos[node] + if not isinstance(posnode, str): + try: + posx, posy = posnode + pos[node] = f"({round(posx, 3)}, {round(posy, 3)})" + except (TypeError, ValueError): + msg = f"position pos[{node}] is not 2-tuple or a string: {posnode}" + raise nx.NetworkXError(msg) + + # set up all the dicts + if not isinstance(node_options, dict): + node_options = nx.get_node_attributes(G, node_options) + if not isinstance(node_label, dict): + node_label = nx.get_node_attributes(G, node_label) + if not isinstance(edge_options, dict): + edge_options = nx.get_edge_attributes(G, edge_options) + if not isinstance(edge_label, dict): + edge_label = nx.get_edge_attributes(G, edge_label) + if not isinstance(edge_label_options, dict): + edge_label_options = nx.get_edge_attributes(G, edge_label_options) + + # process default options (add brackets or not) + topts = "" if tikz_options == "" else f"[{tikz_options.strip('[]')}]" + defn = "" if default_node_options == "" else f"[{default_node_options.strip('[]')}]" + linestyle = f"{'->' if G.is_directed() else '-'}" + if default_edge_options == "": + defe = "[" + linestyle + "]" + elif "-" in default_edge_options: + defe = default_edge_options + else: + defe = f"[{linestyle},{default_edge_options.strip('[]')}]" + + # Construct the string line by line + result = " \\begin{tikzpicture}" + topts + result += i4 + " \\draw" + defn + # load the nodes + for n in G: + # node options goes inside square brackets + nopts = f"[{node_options[n].strip('[]')}]" if n in node_options else "" + # node text goes inside curly brackets {} + ntext = f"{{{node_label[n]}}}" if n in node_label else f"{{{n}}}" + + result += i8 + f"{pos[n]} node{nopts} ({n}){ntext}" + result += ";\n" + + # load the edges + result += " \\begin{scope}" + defe + for edge in G.edges: + u, v = edge[:2] + e_opts = f"{edge_options[edge]}".strip("[]") if edge in edge_options else "" + # add loop options for selfloops if not present + if u == v and "loop" not in e_opts: + e_opts = "loop," + e_opts + e_opts = f"[{e_opts}]" if e_opts != "" else "" + # TODO -- handle bending of multiedges + + els = edge_label_options[edge] if edge in edge_label_options else "" + # edge label options goes inside square brackets [] + els = f"[{els.strip('[]')}]" + # edge text is drawn using the TikZ node command inside curly brackets {} + e_label = f" node{els} {{{edge_label[edge]}}}" if edge in edge_label else "" + + result += i8 + f"\\draw{e_opts} ({u}) to{e_label} ({v});" + + result += "\n \\end{scope}\n \\end{tikzpicture}\n" + return result + + +_DOC_WRAPPER_TIKZ = r"""\documentclass{{report}} +\usepackage{{tikz}} +\usepackage{{subcaption}} + +\begin{{document}} +{content} +\end{{document}}""" + + +_FIG_WRAPPER = r"""\begin{{figure}} +{content}{caption}{label} +\end{{figure}}""" + + +_SUBFIG_WRAPPER = r""" \begin{{subfigure}}{{{size}\textwidth}} +{content}{caption}{label} + \end{{subfigure}}""" + + +def to_latex( + Gbunch, + pos="pos", + tikz_options="", + default_node_options="", + node_options="node_options", + node_label="node_label", + default_edge_options="", + edge_options="edge_options", + edge_label="edge_label", + edge_label_options="edge_label_options", + caption="", + latex_label="", + sub_captions=None, + sub_labels=None, + n_rows=1, + as_document=True, + document_wrapper=_DOC_WRAPPER_TIKZ, + figure_wrapper=_FIG_WRAPPER, + subfigure_wrapper=_SUBFIG_WRAPPER, +): + """Return latex code to draw the graph(s) in `Gbunch` + + The TikZ drawing utility in LaTeX is used to draw the graph(s). + If `Gbunch` is a graph, it is drawn in a figure environment. + If `Gbunch` is an iterable of graphs, each is drawn in a subfigure environment + within a single figure environment. + + If `as_document` is True, the figure is wrapped inside a document environment + so that the resulting string is ready to be compiled by LaTeX. Otherwise, + the string is ready for inclusion in a larger tex document using ``\\include`` + or ``\\input`` statements. + + Parameters + ========== + Gbunch : NetworkX graph or iterable of NetworkX graphs + The NetworkX graph to be drawn or an iterable of graphs + to be drawn inside subfigures of a single figure. + pos : string or list of strings + The name of the node attribute on `G` that holds the position of each node. + Positions can be sequences of length 2 with numbers for (x,y) coordinates. + They can also be strings to denote positions in TikZ style, such as (x, y) + or (angle:radius). + If a dict, it should be keyed by node to a position. + If an empty dict, a circular layout is computed by TikZ. + If you are drawing many graphs in subfigures, use a list of position dicts. + tikz_options : string + The tikzpicture options description defining the options for the picture. + Often large scale options like `[scale=2]`. + default_node_options : string + The draw options for a path of nodes. Individual node options override these. + node_options : string or dict + The name of the node attribute on `G` that holds the options for each node. + Or a dict keyed by node to a string holding the options for that node. + node_label : string or dict + The name of the node attribute on `G` that holds the node label (text) + displayed for each node. If the attribute is "" or not present, the node + itself is drawn as a string. LaTeX processing such as ``"$A_1$"`` is allowed. + Or a dict keyed by node to a string holding the label for that node. + default_edge_options : string + The options for the scope drawing all edges. The default is "[-]" for + undirected graphs and "[->]" for directed graphs. + edge_options : string or dict + The name of the edge attribute on `G` that holds the options for each edge. + If the edge is a self-loop and ``"loop" not in edge_options`` the option + "loop," is added to the options for the self-loop edge. Hence you can + use "[loop above]" explicitly, but the default is "[loop]". + Or a dict keyed by edge to a string holding the options for that edge. + edge_label : string or dict + The name of the edge attribute on `G` that holds the edge label (text) + displayed for each edge. If the attribute is "" or not present, no edge + label is drawn. + Or a dict keyed by edge to a string holding the label for that edge. + edge_label_options : string or dict + The name of the edge attribute on `G` that holds the label options for + each edge. For example, "[sloped,above,blue]". The default is no options. + Or a dict keyed by edge to a string holding the label options for that edge. + caption : string + The caption string for the figure environment + latex_label : string + The latex label used for the figure for easy referral from the main text + sub_captions : list of strings + The sub_caption string for each subfigure in the figure + sub_latex_labels : list of strings + The latex label for each subfigure in the figure + n_rows : int + The number of rows of subfigures to arrange for multiple graphs + as_document : bool + Whether to wrap the latex code in a document environment for compiling + document_wrapper : formatted text string with variable ``content``. + This text is called to evaluate the content embedded in a document + environment with a preamble setting up TikZ. + figure_wrapper : formatted text string + This text is evaluated with variables ``content``, ``caption`` and ``label``. + It wraps the content and if a caption is provided, adds the latex code for + that caption, and if a label is provided, adds the latex code for a label. + subfigure_wrapper : formatted text string + This text evaluate variables ``size``, ``content``, ``caption`` and ``label``. + It wraps the content and if a caption is provided, adds the latex code for + that caption, and if a label is provided, adds the latex code for a label. + The size is the vertical size of each row of subfigures as a fraction. + + Returns + ======= + latex_code : string + The text string which draws the desired graph(s) when compiled by LaTeX. + + See Also + ======== + write_latex + to_latex_raw + """ + if hasattr(Gbunch, "adj"): + raw = to_latex_raw( + Gbunch, + pos, + tikz_options, + default_node_options, + node_options, + node_label, + default_edge_options, + edge_options, + edge_label, + edge_label_options, + ) + else: # iterator of graphs + sbf = subfigure_wrapper + size = 1 / n_rows + + N = len(Gbunch) + if isinstance(pos, str | dict): + pos = [pos] * N + if sub_captions is None: + sub_captions = [""] * N + if sub_labels is None: + sub_labels = [""] * N + if not (len(Gbunch) == len(pos) == len(sub_captions) == len(sub_labels)): + raise nx.NetworkXError( + "length of Gbunch, sub_captions and sub_figures must agree" + ) + + raw = "" + for G, pos, subcap, sublbl in zip(Gbunch, pos, sub_captions, sub_labels): + subraw = to_latex_raw( + G, + pos, + tikz_options, + default_node_options, + node_options, + node_label, + default_edge_options, + edge_options, + edge_label, + edge_label_options, + ) + cap = f" \\caption{{{subcap}}}" if subcap else "" + lbl = f"\\label{{{sublbl}}}" if sublbl else "" + raw += sbf.format(size=size, content=subraw, caption=cap, label=lbl) + raw += "\n" + + # put raw latex code into a figure environment and optionally into a document + raw = raw[:-1] + cap = f"\n \\caption{{{caption}}}" if caption else "" + lbl = f"\\label{{{latex_label}}}" if latex_label else "" + fig = figure_wrapper.format(content=raw, caption=cap, label=lbl) + if as_document: + return document_wrapper.format(content=fig) + return fig + + +@nx.utils.open_file(1, mode="w") +def write_latex(Gbunch, path, **options): + """Write the latex code to draw the graph(s) onto `path`. + + This convenience function creates the latex drawing code as a string + and writes that to a file ready to be compiled when `as_document` is True + or ready to be ``import`` ed or ``include`` ed into your main LaTeX document. + + The `path` argument can be a string filename or a file handle to write to. + + Parameters + ---------- + Gbunch : NetworkX graph or iterable of NetworkX graphs + If Gbunch is a graph, it is drawn in a figure environment. + If Gbunch is an iterable of graphs, each is drawn in a subfigure + environment within a single figure environment. + path : filename + Filename or file handle to write to + options : dict + By default, TikZ is used with options: (others are ignored):: + + pos : string or dict or list + The name of the node attribute on `G` that holds the position of each node. + Positions can be sequences of length 2 with numbers for (x,y) coordinates. + They can also be strings to denote positions in TikZ style, such as (x, y) + or (angle:radius). + If a dict, it should be keyed by node to a position. + If an empty dict, a circular layout is computed by TikZ. + If you are drawing many graphs in subfigures, use a list of position dicts. + tikz_options : string + The tikzpicture options description defining the options for the picture. + Often large scale options like `[scale=2]`. + default_node_options : string + The draw options for a path of nodes. Individual node options override these. + node_options : string or dict + The name of the node attribute on `G` that holds the options for each node. + Or a dict keyed by node to a string holding the options for that node. + node_label : string or dict + The name of the node attribute on `G` that holds the node label (text) + displayed for each node. If the attribute is "" or not present, the node + itself is drawn as a string. LaTeX processing such as ``"$A_1$"`` is allowed. + Or a dict keyed by node to a string holding the label for that node. + default_edge_options : string + The options for the scope drawing all edges. The default is "[-]" for + undirected graphs and "[->]" for directed graphs. + edge_options : string or dict + The name of the edge attribute on `G` that holds the options for each edge. + If the edge is a self-loop and ``"loop" not in edge_options`` the option + "loop," is added to the options for the self-loop edge. Hence you can + use "[loop above]" explicitly, but the default is "[loop]". + Or a dict keyed by edge to a string holding the options for that edge. + edge_label : string or dict + The name of the edge attribute on `G` that holds the edge label (text) + displayed for each edge. If the attribute is "" or not present, no edge + label is drawn. + Or a dict keyed by edge to a string holding the label for that edge. + edge_label_options : string or dict + The name of the edge attribute on `G` that holds the label options for + each edge. For example, "[sloped,above,blue]". The default is no options. + Or a dict keyed by edge to a string holding the label options for that edge. + caption : string + The caption string for the figure environment + latex_label : string + The latex label used for the figure for easy referral from the main text + sub_captions : list of strings + The sub_caption string for each subfigure in the figure + sub_latex_labels : list of strings + The latex label for each subfigure in the figure + n_rows : int + The number of rows of subfigures to arrange for multiple graphs + as_document : bool + Whether to wrap the latex code in a document environment for compiling + document_wrapper : formatted text string with variable ``content``. + This text is called to evaluate the content embedded in a document + environment with a preamble setting up the TikZ syntax. + figure_wrapper : formatted text string + This text is evaluated with variables ``content``, ``caption`` and ``label``. + It wraps the content and if a caption is provided, adds the latex code for + that caption, and if a label is provided, adds the latex code for a label. + subfigure_wrapper : formatted text string + This text evaluate variables ``size``, ``content``, ``caption`` and ``label``. + It wraps the content and if a caption is provided, adds the latex code for + that caption, and if a label is provided, adds the latex code for a label. + The size is the vertical size of each row of subfigures as a fraction. + + See Also + ======== + to_latex + """ + path.write(to_latex(Gbunch, **options)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_pydot.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_pydot.py new file mode 100644 index 0000000000000000000000000000000000000000..7df0c1119f7bcfefd9842548d7f29b0978340979 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_pydot.py @@ -0,0 +1,352 @@ +""" +***** +Pydot +***** + +Import and export NetworkX graphs in Graphviz dot format using pydot. + +Either this module or nx_agraph can be used to interface with graphviz. + +Examples +-------- +>>> G = nx.complete_graph(5) +>>> PG = nx.nx_pydot.to_pydot(G) +>>> H = nx.nx_pydot.from_pydot(PG) + +See Also +-------- + - pydot: https://github.com/erocarrera/pydot + - Graphviz: https://www.graphviz.org + - DOT Language: http://www.graphviz.org/doc/info/lang.html +""" + +from locale import getpreferredencoding + +import networkx as nx +from networkx.utils import open_file + +__all__ = [ + "write_dot", + "read_dot", + "graphviz_layout", + "pydot_layout", + "to_pydot", + "from_pydot", +] + + +@open_file(1, mode="w") +def write_dot(G, path): + """Write NetworkX graph G to Graphviz dot format on path. + + Path can be a string or a file handle. + """ + P = to_pydot(G) + path.write(P.to_string()) + return + + +@open_file(0, mode="r") +@nx._dispatchable(name="pydot_read_dot", graphs=None, returns_graph=True) +def read_dot(path): + """Returns a NetworkX :class:`MultiGraph` or :class:`MultiDiGraph` from the + dot file with the passed path. + + If this file contains multiple graphs, only the first such graph is + returned. All graphs _except_ the first are silently ignored. + + Parameters + ---------- + path : str or file + Filename or file handle. + + Returns + ------- + G : MultiGraph or MultiDiGraph + A :class:`MultiGraph` or :class:`MultiDiGraph`. + + Notes + ----- + Use `G = nx.Graph(nx.nx_pydot.read_dot(path))` to return a :class:`Graph` instead of a + :class:`MultiGraph`. + """ + import pydot + + data = path.read() + + # List of one or more "pydot.Dot" instances deserialized from this file. + P_list = pydot.graph_from_dot_data(data) + + # Convert only the first such instance into a NetworkX graph. + return from_pydot(P_list[0]) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def from_pydot(P): + """Returns a NetworkX graph from a Pydot graph. + + Parameters + ---------- + P : Pydot graph + A graph created with Pydot + + Returns + ------- + G : NetworkX multigraph + A MultiGraph or MultiDiGraph. + + Examples + -------- + >>> K5 = nx.complete_graph(5) + >>> A = nx.nx_pydot.to_pydot(K5) + >>> G = nx.nx_pydot.from_pydot(A) # return MultiGraph + + # make a Graph instead of MultiGraph + >>> G = nx.Graph(nx.nx_pydot.from_pydot(A)) + + """ + + if P.get_strict(None): # pydot bug: get_strict() shouldn't take argument + multiedges = False + else: + multiedges = True + + if P.get_type() == "graph": # undirected + if multiedges: + N = nx.MultiGraph() + else: + N = nx.Graph() + else: + if multiedges: + N = nx.MultiDiGraph() + else: + N = nx.DiGraph() + + # assign defaults + name = P.get_name().strip('"') + if name != "": + N.name = name + + # add nodes, attributes to N.node_attr + for p in P.get_node_list(): + n = p.get_name().strip('"') + if n in ("node", "graph", "edge"): + continue + N.add_node(n, **p.get_attributes()) + + # add edges + for e in P.get_edge_list(): + u = e.get_source() + v = e.get_destination() + attr = e.get_attributes() + s = [] + d = [] + + if isinstance(u, str): + s.append(u.strip('"')) + else: + for unodes in u["nodes"]: + s.append(unodes.strip('"')) + + if isinstance(v, str): + d.append(v.strip('"')) + else: + for vnodes in v["nodes"]: + d.append(vnodes.strip('"')) + + for source_node in s: + for destination_node in d: + N.add_edge(source_node, destination_node, **attr) + + # add default attributes for graph, nodes, edges + pattr = P.get_attributes() + if pattr: + N.graph["graph"] = pattr + try: + N.graph["node"] = P.get_node_defaults()[0] + except (IndexError, TypeError): + pass # N.graph['node']={} + try: + N.graph["edge"] = P.get_edge_defaults()[0] + except (IndexError, TypeError): + pass # N.graph['edge']={} + return N + + +def to_pydot(N): + """Returns a pydot graph from a NetworkX graph N. + + Parameters + ---------- + N : NetworkX graph + A graph created with NetworkX + + Examples + -------- + >>> K5 = nx.complete_graph(5) + >>> P = nx.nx_pydot.to_pydot(K5) + + Notes + ----- + + """ + import pydot + + # set Graphviz graph type + if N.is_directed(): + graph_type = "digraph" + else: + graph_type = "graph" + strict = nx.number_of_selfloops(N) == 0 and not N.is_multigraph() + + name = N.name + graph_defaults = N.graph.get("graph", {}) + if name == "": + P = pydot.Dot("", graph_type=graph_type, strict=strict, **graph_defaults) + else: + P = pydot.Dot( + f'"{name}"', graph_type=graph_type, strict=strict, **graph_defaults + ) + try: + P.set_node_defaults(**N.graph["node"]) + except KeyError: + pass + try: + P.set_edge_defaults(**N.graph["edge"]) + except KeyError: + pass + + for n, nodedata in N.nodes(data=True): + str_nodedata = {str(k): str(v) for k, v in nodedata.items()} + n = str(n) + p = pydot.Node(n, **str_nodedata) + P.add_node(p) + + if N.is_multigraph(): + for u, v, key, edgedata in N.edges(data=True, keys=True): + str_edgedata = {str(k): str(v) for k, v in edgedata.items() if k != "key"} + u, v = str(u), str(v) + edge = pydot.Edge(u, v, key=str(key), **str_edgedata) + P.add_edge(edge) + + else: + for u, v, edgedata in N.edges(data=True): + str_edgedata = {str(k): str(v) for k, v in edgedata.items()} + u, v = str(u), str(v) + edge = pydot.Edge(u, v, **str_edgedata) + P.add_edge(edge) + return P + + +def graphviz_layout(G, prog="neato", root=None): + """Create node positions using Pydot and Graphviz. + + Returns a dictionary of positions keyed by node. + + Parameters + ---------- + G : NetworkX Graph + The graph for which the layout is computed. + prog : string (default: 'neato') + The name of the GraphViz program to use for layout. + Options depend on GraphViz version but may include: + 'dot', 'twopi', 'fdp', 'sfdp', 'circo' + root : Node from G or None (default: None) + The node of G from which to start some layout algorithms. + + Returns + ------- + Dictionary of (x, y) positions keyed by node. + + Examples + -------- + >>> G = nx.complete_graph(4) + >>> pos = nx.nx_pydot.graphviz_layout(G) + >>> pos = nx.nx_pydot.graphviz_layout(G, prog="dot") + + Notes + ----- + This is a wrapper for pydot_layout. + """ + return pydot_layout(G=G, prog=prog, root=root) + + +def pydot_layout(G, prog="neato", root=None): + """Create node positions using :mod:`pydot` and Graphviz. + + Parameters + ---------- + G : Graph + NetworkX graph to be laid out. + prog : string (default: 'neato') + Name of the GraphViz command to use for layout. + Options depend on GraphViz version but may include: + 'dot', 'twopi', 'fdp', 'sfdp', 'circo' + root : Node from G or None (default: None) + The node of G from which to start some layout algorithms. + + Returns + ------- + dict + Dictionary of positions keyed by node. + + Examples + -------- + >>> G = nx.complete_graph(4) + >>> pos = nx.nx_pydot.pydot_layout(G) + >>> pos = nx.nx_pydot.pydot_layout(G, prog="dot") + + Notes + ----- + If you use complex node objects, they may have the same string + representation and GraphViz could treat them as the same node. + The layout may assign both nodes a single location. See Issue #1568 + If this occurs in your case, consider relabeling the nodes just + for the layout computation using something similar to:: + + H = nx.convert_node_labels_to_integers(G, label_attribute="node_label") + H_layout = nx.nx_pydot.pydot_layout(H, prog="dot") + G_layout = {H.nodes[n]["node_label"]: p for n, p in H_layout.items()} + + """ + import pydot + + P = to_pydot(G) + if root is not None: + P.set("root", str(root)) + + # List of low-level bytes comprising a string in the dot language converted + # from the passed graph with the passed external GraphViz command. + D_bytes = P.create_dot(prog=prog) + + # Unique string decoded from these bytes with the preferred locale encoding + D = str(D_bytes, encoding=getpreferredencoding()) + + if D == "": # no data returned + print(f"Graphviz layout with {prog} failed") + print() + print("To debug what happened try:") + print("P = nx.nx_pydot.to_pydot(G)") + print('P.write_dot("file.dot")') + print(f"And then run {prog} on file.dot") + return + + # List of one or more "pydot.Dot" instances deserialized from this string. + Q_list = pydot.graph_from_dot_data(D) + assert len(Q_list) == 1 + + # The first and only such instance, as guaranteed by the above assertion. + Q = Q_list[0] + + node_pos = {} + for n in G.nodes(): + str_n = str(n) + node = Q.get_node(pydot.quote_id_if_necessary(str_n)) + + if isinstance(node, list): + node = node[0] + pos = node.get_pos()[1:-1] # strip leading and trailing double quotes + if pos is not None: + xx, yy = pos.split(",") + node_pos[n] = (float(xx), float(yy)) + return node_pos diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_pylab.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_pylab.py new file mode 100644 index 0000000000000000000000000000000000000000..c4d24cc072bbaf2d556387ab30b8948871773210 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/nx_pylab.py @@ -0,0 +1,1979 @@ +""" +********** +Matplotlib +********** + +Draw networks with matplotlib. + +Examples +-------- +>>> G = nx.complete_graph(5) +>>> nx.draw(G) + +See Also +-------- + - :doc:`matplotlib ` + - :func:`matplotlib.pyplot.scatter` + - :obj:`matplotlib.patches.FancyArrowPatch` +""" + +import collections +import itertools +from numbers import Number + +import networkx as nx +from networkx.drawing.layout import ( + circular_layout, + forceatlas2_layout, + kamada_kawai_layout, + planar_layout, + random_layout, + shell_layout, + spectral_layout, + spring_layout, +) + +__all__ = [ + "draw", + "draw_networkx", + "draw_networkx_nodes", + "draw_networkx_edges", + "draw_networkx_labels", + "draw_networkx_edge_labels", + "draw_circular", + "draw_kamada_kawai", + "draw_random", + "draw_spectral", + "draw_spring", + "draw_planar", + "draw_shell", + "draw_forceatlas2", +] + + +def draw(G, pos=None, ax=None, **kwds): + """Draw the graph G with Matplotlib. + + Draw the graph as a simple representation with no node + labels or edge labels and using the full Matplotlib figure area + and no axis labels by default. See draw_networkx() for more + full-featured drawing that allows title, axis labels etc. + + Parameters + ---------- + G : graph + A networkx graph + + pos : dictionary, optional + A dictionary with nodes as keys and positions as values. + If not specified a spring layout positioning will be computed. + See :py:mod:`networkx.drawing.layout` for functions that + compute node positions. + + ax : Matplotlib Axes object, optional + Draw the graph in specified Matplotlib axes. + + kwds : optional keywords + See networkx.draw_networkx() for a description of optional keywords. + + Examples + -------- + >>> G = nx.dodecahedral_graph() + >>> nx.draw(G) + >>> nx.draw(G, pos=nx.spring_layout(G)) # use spring layout + + See Also + -------- + draw_networkx + draw_networkx_nodes + draw_networkx_edges + draw_networkx_labels + draw_networkx_edge_labels + + Notes + ----- + This function has the same name as pylab.draw and pyplot.draw + so beware when using `from networkx import *` + + since you might overwrite the pylab.draw function. + + With pyplot use + + >>> import matplotlib.pyplot as plt + >>> G = nx.dodecahedral_graph() + >>> nx.draw(G) # networkx draw() + >>> plt.draw() # pyplot draw() + + Also see the NetworkX drawing examples at + https://networkx.org/documentation/latest/auto_examples/index.html + """ + import matplotlib.pyplot as plt + + if ax is None: + cf = plt.gcf() + else: + cf = ax.get_figure() + cf.set_facecolor("w") + if ax is None: + if cf.axes: + ax = cf.gca() + else: + ax = cf.add_axes((0, 0, 1, 1)) + + if "with_labels" not in kwds: + kwds["with_labels"] = "labels" in kwds + + draw_networkx(G, pos=pos, ax=ax, **kwds) + ax.set_axis_off() + plt.draw_if_interactive() + return + + +def draw_networkx(G, pos=None, arrows=None, with_labels=True, **kwds): + r"""Draw the graph G using Matplotlib. + + Draw the graph with Matplotlib with options for node positions, + labeling, titles, and many other drawing features. + See draw() for simple drawing without labels or axes. + + Parameters + ---------- + G : graph + A networkx graph + + pos : dictionary, optional + A dictionary with nodes as keys and positions as values. + If not specified a spring layout positioning will be computed. + See :py:mod:`networkx.drawing.layout` for functions that + compute node positions. + + arrows : bool or None, optional (default=None) + If `None`, directed graphs draw arrowheads with + `~matplotlib.patches.FancyArrowPatch`, while undirected graphs draw edges + via `~matplotlib.collections.LineCollection` for speed. + If `True`, draw arrowheads with FancyArrowPatches (bendable and stylish). + If `False`, draw edges using LineCollection (linear and fast). + For directed graphs, if True draw arrowheads. + Note: Arrows will be the same color as edges. + + arrowstyle : str (default='-\|>' for directed graphs) + For directed graphs, choose the style of the arrowsheads. + For undirected graphs default to '-' + + See `matplotlib.patches.ArrowStyle` for more options. + + arrowsize : int or list (default=10) + For directed graphs, choose the size of the arrow head's length and + width. A list of values can be passed in to assign a different size for arrow head's length and width. + See `matplotlib.patches.FancyArrowPatch` for attribute `mutation_scale` + for more info. + + with_labels : bool (default=True) + Set to True to draw labels on the nodes. + + ax : Matplotlib Axes object, optional + Draw the graph in the specified Matplotlib axes. + + nodelist : list (default=list(G)) + Draw only specified nodes + + edgelist : list (default=list(G.edges())) + Draw only specified edges + + node_size : scalar or array (default=300) + Size of nodes. If an array is specified it must be the + same length as nodelist. + + node_color : color or array of colors (default='#1f78b4') + Node color. Can be a single color or a sequence of colors with the same + length as nodelist. Color can be string or rgb (or rgba) tuple of + floats from 0-1. If numeric values are specified they will be + mapped to colors using the cmap and vmin,vmax parameters. See + matplotlib.scatter for more details. + + node_shape : string (default='o') + The shape of the node. Specification is as matplotlib.scatter + marker, one of 'so^>v>> G = nx.dodecahedral_graph() + >>> nx.draw(G) + >>> nx.draw(G, pos=nx.spring_layout(G)) # use spring layout + + >>> import matplotlib.pyplot as plt + >>> limits = plt.axis("off") # turn off axis + + Also see the NetworkX drawing examples at + https://networkx.org/documentation/latest/auto_examples/index.html + + See Also + -------- + draw + draw_networkx_nodes + draw_networkx_edges + draw_networkx_labels + draw_networkx_edge_labels + """ + from inspect import signature + + import matplotlib.pyplot as plt + + # Get all valid keywords by inspecting the signatures of draw_networkx_nodes, + # draw_networkx_edges, draw_networkx_labels + + valid_node_kwds = signature(draw_networkx_nodes).parameters.keys() + valid_edge_kwds = signature(draw_networkx_edges).parameters.keys() + valid_label_kwds = signature(draw_networkx_labels).parameters.keys() + + # Create a set with all valid keywords across the three functions and + # remove the arguments of this function (draw_networkx) + valid_kwds = (valid_node_kwds | valid_edge_kwds | valid_label_kwds) - { + "G", + "pos", + "arrows", + "with_labels", + } + + if any(k not in valid_kwds for k in kwds): + invalid_args = ", ".join([k for k in kwds if k not in valid_kwds]) + raise ValueError(f"Received invalid argument(s): {invalid_args}") + + node_kwds = {k: v for k, v in kwds.items() if k in valid_node_kwds} + edge_kwds = {k: v for k, v in kwds.items() if k in valid_edge_kwds} + label_kwds = {k: v for k, v in kwds.items() if k in valid_label_kwds} + + if pos is None: + pos = nx.drawing.spring_layout(G) # default to spring layout + + draw_networkx_nodes(G, pos, **node_kwds) + draw_networkx_edges(G, pos, arrows=arrows, **edge_kwds) + if with_labels: + draw_networkx_labels(G, pos, **label_kwds) + plt.draw_if_interactive() + + +def draw_networkx_nodes( + G, + pos, + nodelist=None, + node_size=300, + node_color="#1f78b4", + node_shape="o", + alpha=None, + cmap=None, + vmin=None, + vmax=None, + ax=None, + linewidths=None, + edgecolors=None, + label=None, + margins=None, + hide_ticks=True, +): + """Draw the nodes of the graph G. + + This draws only the nodes of the graph G. + + Parameters + ---------- + G : graph + A networkx graph + + pos : dictionary + A dictionary with nodes as keys and positions as values. + Positions should be sequences of length 2. + + ax : Matplotlib Axes object, optional + Draw the graph in the specified Matplotlib axes. + + nodelist : list (default list(G)) + Draw only specified nodes + + node_size : scalar or array (default=300) + Size of nodes. If an array it must be the same length as nodelist. + + node_color : color or array of colors (default='#1f78b4') + Node color. Can be a single color or a sequence of colors with the same + length as nodelist. Color can be string or rgb (or rgba) tuple of + floats from 0-1. If numeric values are specified they will be + mapped to colors using the cmap and vmin,vmax parameters. See + matplotlib.scatter for more details. + + node_shape : string (default='o') + The shape of the node. Specification is as matplotlib.scatter + marker, one of 'so^>v>> G = nx.dodecahedral_graph() + >>> nodes = nx.draw_networkx_nodes(G, pos=nx.spring_layout(G)) + + Also see the NetworkX drawing examples at + https://networkx.org/documentation/latest/auto_examples/index.html + + See Also + -------- + draw + draw_networkx + draw_networkx_edges + draw_networkx_labels + draw_networkx_edge_labels + """ + from collections.abc import Iterable + + import matplotlib as mpl + import matplotlib.collections # call as mpl.collections + import matplotlib.pyplot as plt + import numpy as np + + if ax is None: + ax = plt.gca() + + if nodelist is None: + nodelist = list(G) + + if len(nodelist) == 0: # empty nodelist, no drawing + return mpl.collections.PathCollection(None) + + try: + xy = np.asarray([pos[v] for v in nodelist]) + except KeyError as err: + raise nx.NetworkXError(f"Node {err} has no position.") from err + + if isinstance(alpha, Iterable): + node_color = apply_alpha(node_color, alpha, nodelist, cmap, vmin, vmax) + alpha = None + + if not isinstance(node_shape, np.ndarray) and not isinstance(node_shape, list): + node_shape = np.array([node_shape for _ in range(len(nodelist))]) + + for shape in np.unique(node_shape): + node_collection = ax.scatter( + xy[node_shape == shape, 0], + xy[node_shape == shape, 1], + s=node_size, + c=node_color, + marker=shape, + cmap=cmap, + vmin=vmin, + vmax=vmax, + alpha=alpha, + linewidths=linewidths, + edgecolors=edgecolors, + label=label, + ) + if hide_ticks: + ax.tick_params( + axis="both", + which="both", + bottom=False, + left=False, + labelbottom=False, + labelleft=False, + ) + + if margins is not None: + if isinstance(margins, Iterable): + ax.margins(*margins) + else: + ax.margins(margins) + + node_collection.set_zorder(2) + return node_collection + + +class FancyArrowFactory: + """Draw arrows with `matplotlib.patches.FancyarrowPatch`""" + + class ConnectionStyleFactory: + def __init__(self, connectionstyles, selfloop_height, ax=None): + import matplotlib as mpl + import matplotlib.path # call as mpl.path + import numpy as np + + self.ax = ax + self.mpl = mpl + self.np = np + self.base_connection_styles = [ + mpl.patches.ConnectionStyle(cs) for cs in connectionstyles + ] + self.n = len(self.base_connection_styles) + self.selfloop_height = selfloop_height + + def curved(self, edge_index): + return self.base_connection_styles[edge_index % self.n] + + def self_loop(self, edge_index): + def self_loop_connection(posA, posB, *args, **kwargs): + if not self.np.all(posA == posB): + raise nx.NetworkXError( + "`self_loop` connection style method" + "is only to be used for self-loops" + ) + # this is called with _screen space_ values + # so convert back to data space + data_loc = self.ax.transData.inverted().transform(posA) + v_shift = 0.1 * self.selfloop_height + h_shift = v_shift * 0.5 + # put the top of the loop first so arrow is not hidden by node + path = self.np.asarray( + [ + # 1 + [0, v_shift], + # 4 4 4 + [h_shift, v_shift], + [h_shift, 0], + [0, 0], + # 4 4 4 + [-h_shift, 0], + [-h_shift, v_shift], + [0, v_shift], + ] + ) + # Rotate self loop 90 deg. if more than 1 + # This will allow for maximum of 4 visible self loops + if edge_index % 4: + x, y = path.T + for _ in range(edge_index % 4): + x, y = y, -x + path = self.np.array([x, y]).T + return self.mpl.path.Path( + self.ax.transData.transform(data_loc + path), [1, 4, 4, 4, 4, 4, 4] + ) + + return self_loop_connection + + def __init__( + self, + edge_pos, + edgelist, + nodelist, + edge_indices, + node_size, + selfloop_height, + connectionstyle="arc3", + node_shape="o", + arrowstyle="-", + arrowsize=10, + edge_color="k", + alpha=None, + linewidth=1.0, + style="solid", + min_source_margin=0, + min_target_margin=0, + ax=None, + ): + import matplotlib as mpl + import matplotlib.patches # call as mpl.patches + import matplotlib.pyplot as plt + import numpy as np + + if isinstance(connectionstyle, str): + connectionstyle = [connectionstyle] + elif np.iterable(connectionstyle): + connectionstyle = list(connectionstyle) + else: + msg = "ConnectionStyleFactory arg `connectionstyle` must be str or iterable" + raise nx.NetworkXError(msg) + self.ax = ax + self.mpl = mpl + self.np = np + self.edge_pos = edge_pos + self.edgelist = edgelist + self.nodelist = nodelist + self.node_shape = node_shape + self.min_source_margin = min_source_margin + self.min_target_margin = min_target_margin + self.edge_indices = edge_indices + self.node_size = node_size + self.connectionstyle_factory = self.ConnectionStyleFactory( + connectionstyle, selfloop_height, ax + ) + self.arrowstyle = arrowstyle + self.arrowsize = arrowsize + self.arrow_colors = mpl.colors.colorConverter.to_rgba_array(edge_color, alpha) + self.linewidth = linewidth + self.style = style + if isinstance(arrowsize, list) and len(arrowsize) != len(edge_pos): + raise ValueError("arrowsize should have the same length as edgelist") + + def __call__(self, i): + (x1, y1), (x2, y2) = self.edge_pos[i] + shrink_source = 0 # space from source to tail + shrink_target = 0 # space from head to target + if ( + self.np.iterable(self.min_source_margin) + and not isinstance(self.min_source_margin, str) + and not isinstance(self.min_source_margin, tuple) + ): + min_source_margin = self.min_source_margin[i] + else: + min_source_margin = self.min_source_margin + + if ( + self.np.iterable(self.min_target_margin) + and not isinstance(self.min_target_margin, str) + and not isinstance(self.min_target_margin, tuple) + ): + min_target_margin = self.min_target_margin[i] + else: + min_target_margin = self.min_target_margin + + if self.np.iterable(self.node_size): # many node sizes + source, target = self.edgelist[i][:2] + source_node_size = self.node_size[self.nodelist.index(source)] + target_node_size = self.node_size[self.nodelist.index(target)] + shrink_source = self.to_marker_edge(source_node_size, self.node_shape) + shrink_target = self.to_marker_edge(target_node_size, self.node_shape) + else: + shrink_source = self.to_marker_edge(self.node_size, self.node_shape) + shrink_target = shrink_source + shrink_source = max(shrink_source, min_source_margin) + shrink_target = max(shrink_target, min_target_margin) + + # scale factor of arrow head + if isinstance(self.arrowsize, list): + mutation_scale = self.arrowsize[i] + else: + mutation_scale = self.arrowsize + + if len(self.arrow_colors) > i: + arrow_color = self.arrow_colors[i] + elif len(self.arrow_colors) == 1: + arrow_color = self.arrow_colors[0] + else: # Cycle through colors + arrow_color = self.arrow_colors[i % len(self.arrow_colors)] + + if self.np.iterable(self.linewidth): + if len(self.linewidth) > i: + linewidth = self.linewidth[i] + else: + linewidth = self.linewidth[i % len(self.linewidth)] + else: + linewidth = self.linewidth + + if ( + self.np.iterable(self.style) + and not isinstance(self.style, str) + and not isinstance(self.style, tuple) + ): + if len(self.style) > i: + linestyle = self.style[i] + else: # Cycle through styles + linestyle = self.style[i % len(self.style)] + else: + linestyle = self.style + + if x1 == x2 and y1 == y2: + connectionstyle = self.connectionstyle_factory.self_loop( + self.edge_indices[i] + ) + else: + connectionstyle = self.connectionstyle_factory.curved(self.edge_indices[i]) + + if ( + self.np.iterable(self.arrowstyle) + and not isinstance(self.arrowstyle, str) + and not isinstance(self.arrowstyle, tuple) + ): + arrowstyle = self.arrowstyle[i] + else: + arrowstyle = self.arrowstyle + + return self.mpl.patches.FancyArrowPatch( + (x1, y1), + (x2, y2), + arrowstyle=arrowstyle, + shrinkA=shrink_source, + shrinkB=shrink_target, + mutation_scale=mutation_scale, + color=arrow_color, + linewidth=linewidth, + connectionstyle=connectionstyle, + linestyle=linestyle, + zorder=1, # arrows go behind nodes + ) + + def to_marker_edge(self, marker_size, marker): + if marker in "s^>v', + For undirected graphs default to '-'. + + See `matplotlib.patches.ArrowStyle` for more options. + + arrowsize : int or list of ints(default=10) + For directed graphs, choose the size of the arrow head's length and + width. See `matplotlib.patches.FancyArrowPatch` for attribute + `mutation_scale` for more info. + + connectionstyle : string or iterable of strings (default="arc3") + Pass the connectionstyle parameter to create curved arc of rounding + radius rad. For example, connectionstyle='arc3,rad=0.2'. + See `matplotlib.patches.ConnectionStyle` and + `matplotlib.patches.FancyArrowPatch` for more info. + If Iterable, index indicates i'th edge key of MultiGraph + + node_size : scalar or array (default=300) + Size of nodes. Though the nodes are not drawn with this function, the + node size is used in determining edge positioning. + + nodelist : list, optional (default=G.nodes()) + This provides the node order for the `node_size` array (if it is an array). + + node_shape : string (default='o') + The marker used for nodes, used in determining edge positioning. + Specification is as a `matplotlib.markers` marker, e.g. one of 'so^>v>> G = nx.dodecahedral_graph() + >>> edges = nx.draw_networkx_edges(G, pos=nx.spring_layout(G)) + + >>> G = nx.DiGraph() + >>> G.add_edges_from([(1, 2), (1, 3), (2, 3)]) + >>> arcs = nx.draw_networkx_edges(G, pos=nx.spring_layout(G)) + >>> alphas = [0.3, 0.4, 0.5] + >>> for i, arc in enumerate(arcs): # change alpha values of arcs + ... arc.set_alpha(alphas[i]) + + The FancyArrowPatches corresponding to self-loops are not always + returned, but can always be accessed via the ``patches`` attribute of the + `matplotlib.Axes` object. + + >>> import matplotlib.pyplot as plt + >>> fig, ax = plt.subplots() + >>> G = nx.Graph([(0, 1), (0, 0)]) # Self-loop at node 0 + >>> edge_collection = nx.draw_networkx_edges(G, pos=nx.circular_layout(G), ax=ax) + >>> self_loop_fap = ax.patches[0] + + Also see the NetworkX drawing examples at + https://networkx.org/documentation/latest/auto_examples/index.html + + See Also + -------- + draw + draw_networkx + draw_networkx_nodes + draw_networkx_labels + draw_networkx_edge_labels + + """ + import warnings + + import matplotlib as mpl + import matplotlib.collections # call as mpl.collections + import matplotlib.colors # call as mpl.colors + import matplotlib.pyplot as plt + import numpy as np + + # The default behavior is to use LineCollection to draw edges for + # undirected graphs (for performance reasons) and use FancyArrowPatches + # for directed graphs. + # The `arrows` keyword can be used to override the default behavior + if arrows is None: + use_linecollection = not (G.is_directed() or G.is_multigraph()) + else: + if not isinstance(arrows, bool): + raise TypeError("Argument `arrows` must be of type bool or None") + use_linecollection = not arrows + + if isinstance(connectionstyle, str): + connectionstyle = [connectionstyle] + elif np.iterable(connectionstyle): + connectionstyle = list(connectionstyle) + else: + msg = "draw_networkx_edges arg `connectionstyle` must be str or iterable" + raise nx.NetworkXError(msg) + + # Some kwargs only apply to FancyArrowPatches. Warn users when they use + # non-default values for these kwargs when LineCollection is being used + # instead of silently ignoring the specified option + if use_linecollection: + msg = ( + "\n\nThe {0} keyword argument is not applicable when drawing edges\n" + "with LineCollection.\n\n" + "To make this warning go away, either specify `arrows=True` to\n" + "force FancyArrowPatches or use the default values.\n" + "Note that using FancyArrowPatches may be slow for large graphs.\n" + ) + if arrowstyle is not None: + warnings.warn(msg.format("arrowstyle"), category=UserWarning, stacklevel=2) + if arrowsize != 10: + warnings.warn(msg.format("arrowsize"), category=UserWarning, stacklevel=2) + if min_source_margin != 0: + warnings.warn( + msg.format("min_source_margin"), category=UserWarning, stacklevel=2 + ) + if min_target_margin != 0: + warnings.warn( + msg.format("min_target_margin"), category=UserWarning, stacklevel=2 + ) + if any(cs != "arc3" for cs in connectionstyle): + warnings.warn( + msg.format("connectionstyle"), category=UserWarning, stacklevel=2 + ) + + # NOTE: Arrowstyle modification must occur after the warnings section + if arrowstyle is None: + arrowstyle = "-|>" if G.is_directed() else "-" + + if ax is None: + ax = plt.gca() + + if edgelist is None: + edgelist = list(G.edges) # (u, v, k) for multigraph (u, v) otherwise + + if len(edgelist): + if G.is_multigraph(): + key_count = collections.defaultdict(lambda: itertools.count(0)) + edge_indices = [next(key_count[tuple(e[:2])]) for e in edgelist] + else: + edge_indices = [0] * len(edgelist) + else: # no edges! + return [] + + if nodelist is None: + nodelist = list(G.nodes()) + + # FancyArrowPatch handles color=None different from LineCollection + if edge_color is None: + edge_color = "k" + + # set edge positions + edge_pos = np.asarray([(pos[e[0]], pos[e[1]]) for e in edgelist]) + + # Check if edge_color is an array of floats and map to edge_cmap. + # This is the only case handled differently from matplotlib + if ( + np.iterable(edge_color) + and (len(edge_color) == len(edge_pos)) + and np.all([isinstance(c, Number) for c in edge_color]) + ): + if edge_cmap is not None: + assert isinstance(edge_cmap, mpl.colors.Colormap) + else: + edge_cmap = plt.get_cmap() + if edge_vmin is None: + edge_vmin = min(edge_color) + if edge_vmax is None: + edge_vmax = max(edge_color) + color_normal = mpl.colors.Normalize(vmin=edge_vmin, vmax=edge_vmax) + edge_color = [edge_cmap(color_normal(e)) for e in edge_color] + + # compute initial view + minx = np.amin(np.ravel(edge_pos[:, :, 0])) + maxx = np.amax(np.ravel(edge_pos[:, :, 0])) + miny = np.amin(np.ravel(edge_pos[:, :, 1])) + maxy = np.amax(np.ravel(edge_pos[:, :, 1])) + w = maxx - minx + h = maxy - miny + + # Self-loops are scaled by view extent, except in cases the extent + # is 0, e.g. for a single node. In this case, fall back to scaling + # by the maximum node size + selfloop_height = h if h != 0 else 0.005 * np.array(node_size).max() + fancy_arrow_factory = FancyArrowFactory( + edge_pos, + edgelist, + nodelist, + edge_indices, + node_size, + selfloop_height, + connectionstyle, + node_shape, + arrowstyle, + arrowsize, + edge_color, + alpha, + width, + style, + min_source_margin, + min_target_margin, + ax=ax, + ) + + # Draw the edges + if use_linecollection: + edge_collection = mpl.collections.LineCollection( + edge_pos, + colors=edge_color, + linewidths=width, + antialiaseds=(1,), + linestyle=style, + alpha=alpha, + ) + edge_collection.set_cmap(edge_cmap) + edge_collection.set_clim(edge_vmin, edge_vmax) + edge_collection.set_zorder(1) # edges go behind nodes + edge_collection.set_label(label) + ax.add_collection(edge_collection) + edge_viz_obj = edge_collection + + # Make sure selfloop edges are also drawn + # --------------------------------------- + selfloops_to_draw = [loop for loop in nx.selfloop_edges(G) if loop in edgelist] + if selfloops_to_draw: + edgelist_tuple = list(map(tuple, edgelist)) + arrow_collection = [] + for loop in selfloops_to_draw: + i = edgelist_tuple.index(loop) + arrow = fancy_arrow_factory(i) + arrow_collection.append(arrow) + ax.add_patch(arrow) + else: + edge_viz_obj = [] + for i in range(len(edgelist)): + arrow = fancy_arrow_factory(i) + ax.add_patch(arrow) + edge_viz_obj.append(arrow) + + # update view after drawing + padx, pady = 0.05 * w, 0.05 * h + corners = (minx - padx, miny - pady), (maxx + padx, maxy + pady) + ax.update_datalim(corners) + ax.autoscale_view() + + if hide_ticks: + ax.tick_params( + axis="both", + which="both", + bottom=False, + left=False, + labelbottom=False, + labelleft=False, + ) + + return edge_viz_obj + + +def draw_networkx_labels( + G, + pos, + labels=None, + font_size=12, + font_color="k", + font_family="sans-serif", + font_weight="normal", + alpha=None, + bbox=None, + horizontalalignment="center", + verticalalignment="center", + ax=None, + clip_on=True, + hide_ticks=True, +): + """Draw node labels on the graph G. + + Parameters + ---------- + G : graph + A networkx graph + + pos : dictionary + A dictionary with nodes as keys and positions as values. + Positions should be sequences of length 2. + + labels : dictionary (default={n: n for n in G}) + Node labels in a dictionary of text labels keyed by node. + Node-keys in labels should appear as keys in `pos`. + If needed use: `{n:lab for n,lab in labels.items() if n in pos}` + + font_size : int or dictionary of nodes to ints (default=12) + Font size for text labels. + + font_color : color or dictionary of nodes to colors (default='k' black) + Font color string. Color can be string or rgb (or rgba) tuple of + floats from 0-1. + + font_weight : string or dictionary of nodes to strings (default='normal') + Font weight. + + font_family : string or dictionary of nodes to strings (default='sans-serif') + Font family. + + alpha : float or None or dictionary of nodes to floats (default=None) + The text transparency. + + bbox : Matplotlib bbox, (default is Matplotlib's ax.text default) + Specify text box properties (e.g. shape, color etc.) for node labels. + + horizontalalignment : string or array of strings (default='center') + Horizontal alignment {'center', 'right', 'left'}. If an array is + specified it must be the same length as `nodelist`. + + verticalalignment : string (default='center') + Vertical alignment {'center', 'top', 'bottom', 'baseline', 'center_baseline'}. + If an array is specified it must be the same length as `nodelist`. + + ax : Matplotlib Axes object, optional + Draw the graph in the specified Matplotlib axes. + + clip_on : bool (default=True) + Turn on clipping of node labels at axis boundaries + + hide_ticks : bool, optional + Hide ticks of axes. When `True` (the default), ticks and ticklabels + are removed from the axes. To set ticks and tick labels to the pyplot default, + use ``hide_ticks=False``. + + Returns + ------- + dict + `dict` of labels keyed on the nodes + + Examples + -------- + >>> G = nx.dodecahedral_graph() + >>> labels = nx.draw_networkx_labels(G, pos=nx.spring_layout(G)) + + Also see the NetworkX drawing examples at + https://networkx.org/documentation/latest/auto_examples/index.html + + See Also + -------- + draw + draw_networkx + draw_networkx_nodes + draw_networkx_edges + draw_networkx_edge_labels + """ + import matplotlib.pyplot as plt + + if ax is None: + ax = plt.gca() + + if labels is None: + labels = {n: n for n in G.nodes()} + + individual_params = set() + + def check_individual_params(p_value, p_name): + if isinstance(p_value, dict): + if len(p_value) != len(labels): + raise ValueError(f"{p_name} must have the same length as labels.") + individual_params.add(p_name) + + def get_param_value(node, p_value, p_name): + if p_name in individual_params: + return p_value[node] + return p_value + + check_individual_params(font_size, "font_size") + check_individual_params(font_color, "font_color") + check_individual_params(font_weight, "font_weight") + check_individual_params(font_family, "font_family") + check_individual_params(alpha, "alpha") + + text_items = {} # there is no text collection so we'll fake one + for n, label in labels.items(): + (x, y) = pos[n] + if not isinstance(label, str): + label = str(label) # this makes "1" and 1 labeled the same + t = ax.text( + x, + y, + label, + size=get_param_value(n, font_size, "font_size"), + color=get_param_value(n, font_color, "font_color"), + family=get_param_value(n, font_family, "font_family"), + weight=get_param_value(n, font_weight, "font_weight"), + alpha=get_param_value(n, alpha, "alpha"), + horizontalalignment=horizontalalignment, + verticalalignment=verticalalignment, + transform=ax.transData, + bbox=bbox, + clip_on=clip_on, + ) + text_items[n] = t + + if hide_ticks: + ax.tick_params( + axis="both", + which="both", + bottom=False, + left=False, + labelbottom=False, + labelleft=False, + ) + + return text_items + + +def draw_networkx_edge_labels( + G, + pos, + edge_labels=None, + label_pos=0.5, + font_size=10, + font_color="k", + font_family="sans-serif", + font_weight="normal", + alpha=None, + bbox=None, + horizontalalignment="center", + verticalalignment="center", + ax=None, + rotate=True, + clip_on=True, + node_size=300, + nodelist=None, + connectionstyle="arc3", + hide_ticks=True, +): + """Draw edge labels. + + Parameters + ---------- + G : graph + A networkx graph + + pos : dictionary + A dictionary with nodes as keys and positions as values. + Positions should be sequences of length 2. + + edge_labels : dictionary (default=None) + Edge labels in a dictionary of labels keyed by edge two-tuple. + Only labels for the keys in the dictionary are drawn. + + label_pos : float (default=0.5) + Position of edge label along edge (0=head, 0.5=center, 1=tail) + + font_size : int (default=10) + Font size for text labels + + font_color : color (default='k' black) + Font color string. Color can be string or rgb (or rgba) tuple of + floats from 0-1. + + font_weight : string (default='normal') + Font weight + + font_family : string (default='sans-serif') + Font family + + alpha : float or None (default=None) + The text transparency + + bbox : Matplotlib bbox, optional + Specify text box properties (e.g. shape, color etc.) for edge labels. + Default is {boxstyle='round', ec=(1.0, 1.0, 1.0), fc=(1.0, 1.0, 1.0)}. + + horizontalalignment : string (default='center') + Horizontal alignment {'center', 'right', 'left'} + + verticalalignment : string (default='center') + Vertical alignment {'center', 'top', 'bottom', 'baseline', 'center_baseline'} + + ax : Matplotlib Axes object, optional + Draw the graph in the specified Matplotlib axes. + + rotate : bool (default=True) + Rotate edge labels to lie parallel to edges + + clip_on : bool (default=True) + Turn on clipping of edge labels at axis boundaries + + node_size : scalar or array (default=300) + Size of nodes. If an array it must be the same length as nodelist. + + nodelist : list, optional (default=G.nodes()) + This provides the node order for the `node_size` array (if it is an array). + + connectionstyle : string or iterable of strings (default="arc3") + Pass the connectionstyle parameter to create curved arc of rounding + radius rad. For example, connectionstyle='arc3,rad=0.2'. + See `matplotlib.patches.ConnectionStyle` and + `matplotlib.patches.FancyArrowPatch` for more info. + If Iterable, index indicates i'th edge key of MultiGraph + + hide_ticks : bool, optional + Hide ticks of axes. When `True` (the default), ticks and ticklabels + are removed from the axes. To set ticks and tick labels to the pyplot default, + use ``hide_ticks=False``. + + Returns + ------- + dict + `dict` of labels keyed by edge + + Examples + -------- + >>> G = nx.dodecahedral_graph() + >>> edge_labels = nx.draw_networkx_edge_labels(G, pos=nx.spring_layout(G)) + + Also see the NetworkX drawing examples at + https://networkx.org/documentation/latest/auto_examples/index.html + + See Also + -------- + draw + draw_networkx + draw_networkx_nodes + draw_networkx_edges + draw_networkx_labels + """ + import matplotlib as mpl + import matplotlib.pyplot as plt + import numpy as np + + class CurvedArrowText(mpl.text.Text): + def __init__( + self, + arrow, + *args, + label_pos=0.5, + labels_horizontal=False, + ax=None, + **kwargs, + ): + # Bind to FancyArrowPatch + self.arrow = arrow + # how far along the text should be on the curve, + # 0 is at start, 1 is at end etc. + self.label_pos = label_pos + self.labels_horizontal = labels_horizontal + if ax is None: + ax = plt.gca() + self.ax = ax + self.x, self.y, self.angle = self._update_text_pos_angle(arrow) + + # Create text object + super().__init__(self.x, self.y, *args, rotation=self.angle, **kwargs) + # Bind to axis + self.ax.add_artist(self) + + def _get_arrow_path_disp(self, arrow): + """ + This is part of FancyArrowPatch._get_path_in_displaycoord + It omits the second part of the method where path is converted + to polygon based on width + The transform is taken from ax, not the object, as the object + has not been added yet, and doesn't have transform + """ + dpi_cor = arrow._dpi_cor + # trans_data = arrow.get_transform() + trans_data = self.ax.transData + if arrow._posA_posB is not None: + posA = arrow._convert_xy_units(arrow._posA_posB[0]) + posB = arrow._convert_xy_units(arrow._posA_posB[1]) + (posA, posB) = trans_data.transform((posA, posB)) + _path = arrow.get_connectionstyle()( + posA, + posB, + patchA=arrow.patchA, + patchB=arrow.patchB, + shrinkA=arrow.shrinkA * dpi_cor, + shrinkB=arrow.shrinkB * dpi_cor, + ) + else: + _path = trans_data.transform_path(arrow._path_original) + # Return is in display coordinates + return _path + + def _update_text_pos_angle(self, arrow): + # Fractional label position + path_disp = self._get_arrow_path_disp(arrow) + (x1, y1), (cx, cy), (x2, y2) = path_disp.vertices + # Text position at a proportion t along the line in display coords + # default is 0.5 so text appears at the halfway point + t = self.label_pos + tt = 1 - t + x = tt**2 * x1 + 2 * t * tt * cx + t**2 * x2 + y = tt**2 * y1 + 2 * t * tt * cy + t**2 * y2 + if self.labels_horizontal: + # Horizontal text labels + angle = 0 + else: + # Labels parallel to curve + change_x = 2 * tt * (cx - x1) + 2 * t * (x2 - cx) + change_y = 2 * tt * (cy - y1) + 2 * t * (y2 - cy) + angle = (np.arctan2(change_y, change_x) / (2 * np.pi)) * 360 + # Text is "right way up" + if angle > 90: + angle -= 180 + if angle < -90: + angle += 180 + (x, y) = self.ax.transData.inverted().transform((x, y)) + return x, y, angle + + def draw(self, renderer): + # recalculate the text position and angle + self.x, self.y, self.angle = self._update_text_pos_angle(self.arrow) + self.set_position((self.x, self.y)) + self.set_rotation(self.angle) + # redraw text + super().draw(renderer) + + # use default box of white with white border + if bbox is None: + bbox = {"boxstyle": "round", "ec": (1.0, 1.0, 1.0), "fc": (1.0, 1.0, 1.0)} + + if isinstance(connectionstyle, str): + connectionstyle = [connectionstyle] + elif np.iterable(connectionstyle): + connectionstyle = list(connectionstyle) + else: + raise nx.NetworkXError( + "draw_networkx_edges arg `connectionstyle` must be" + "string or iterable of strings" + ) + + if ax is None: + ax = plt.gca() + + if edge_labels is None: + kwds = {"keys": True} if G.is_multigraph() else {} + edge_labels = {tuple(edge): d for *edge, d in G.edges(data=True, **kwds)} + # NOTHING TO PLOT + if not edge_labels: + return {} + edgelist, labels = zip(*edge_labels.items()) + + if nodelist is None: + nodelist = list(G.nodes()) + + # set edge positions + edge_pos = np.asarray([(pos[e[0]], pos[e[1]]) for e in edgelist]) + + if G.is_multigraph(): + key_count = collections.defaultdict(lambda: itertools.count(0)) + edge_indices = [next(key_count[tuple(e[:2])]) for e in edgelist] + else: + edge_indices = [0] * len(edgelist) + + # Used to determine self loop mid-point + # Note, that this will not be accurate, + # if not drawing edge_labels for all edges drawn + h = 0 + if edge_labels: + miny = np.amin(np.ravel(edge_pos[:, :, 1])) + maxy = np.amax(np.ravel(edge_pos[:, :, 1])) + h = maxy - miny + selfloop_height = h if h != 0 else 0.005 * np.array(node_size).max() + fancy_arrow_factory = FancyArrowFactory( + edge_pos, + edgelist, + nodelist, + edge_indices, + node_size, + selfloop_height, + connectionstyle, + ax=ax, + ) + + individual_params = {} + + def check_individual_params(p_value, p_name): + # TODO should this be list or array (as in a numpy array)? + if isinstance(p_value, list): + if len(p_value) != len(edgelist): + raise ValueError(f"{p_name} must have the same length as edgelist.") + individual_params[p_name] = p_value.iter() + + # Don't need to pass in an edge because these are lists, not dicts + def get_param_value(p_value, p_name): + if p_name in individual_params: + return next(individual_params[p_name]) + return p_value + + check_individual_params(font_size, "font_size") + check_individual_params(font_color, "font_color") + check_individual_params(font_weight, "font_weight") + check_individual_params(alpha, "alpha") + check_individual_params(horizontalalignment, "horizontalalignment") + check_individual_params(verticalalignment, "verticalalignment") + check_individual_params(rotate, "rotate") + check_individual_params(label_pos, "label_pos") + + text_items = {} + for i, (edge, label) in enumerate(zip(edgelist, labels)): + if not isinstance(label, str): + label = str(label) # this makes "1" and 1 labeled the same + + n1, n2 = edge[:2] + arrow = fancy_arrow_factory(i) + if n1 == n2: + connectionstyle_obj = arrow.get_connectionstyle() + posA = ax.transData.transform(pos[n1]) + path_disp = connectionstyle_obj(posA, posA) + path_data = ax.transData.inverted().transform_path(path_disp) + x, y = path_data.vertices[0] + text_items[edge] = ax.text( + x, + y, + label, + size=get_param_value(font_size, "font_size"), + color=get_param_value(font_color, "font_color"), + family=get_param_value(font_family, "font_family"), + weight=get_param_value(font_weight, "font_weight"), + alpha=get_param_value(alpha, "alpha"), + horizontalalignment=get_param_value( + horizontalalignment, "horizontalalignment" + ), + verticalalignment=get_param_value( + verticalalignment, "verticalalignment" + ), + rotation=0, + transform=ax.transData, + bbox=bbox, + zorder=1, + clip_on=clip_on, + ) + else: + text_items[edge] = CurvedArrowText( + arrow, + label, + size=get_param_value(font_size, "font_size"), + color=get_param_value(font_color, "font_color"), + family=get_param_value(font_family, "font_family"), + weight=get_param_value(font_weight, "font_weight"), + alpha=get_param_value(alpha, "alpha"), + horizontalalignment=get_param_value( + horizontalalignment, "horizontalalignment" + ), + verticalalignment=get_param_value( + verticalalignment, "verticalalignment" + ), + transform=ax.transData, + bbox=bbox, + zorder=1, + clip_on=clip_on, + label_pos=get_param_value(label_pos, "label_pos"), + labels_horizontal=not get_param_value(rotate, "rotate"), + ax=ax, + ) + + if hide_ticks: + ax.tick_params( + axis="both", + which="both", + bottom=False, + left=False, + labelbottom=False, + labelleft=False, + ) + + return text_items + + +def draw_circular(G, **kwargs): + """Draw the graph `G` with a circular layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.circular_layout(G), **kwargs) + + Parameters + ---------- + G : graph + A networkx graph + + kwargs : optional keywords + See `draw_networkx` for a description of optional keywords. + + Notes + ----- + The layout is computed each time this function is called. For + repeated drawing it is much more efficient to call + `~networkx.drawing.layout.circular_layout` directly and reuse the result:: + + >>> G = nx.complete_graph(5) + >>> pos = nx.circular_layout(G) + >>> nx.draw(G, pos=pos) # Draw the original graph + >>> # Draw a subgraph, reusing the same node positions + >>> nx.draw(G.subgraph([0, 1, 2]), pos=pos, node_color="red") + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.draw_circular(G) + + See Also + -------- + :func:`~networkx.drawing.layout.circular_layout` + """ + draw(G, circular_layout(G), **kwargs) + + +def draw_kamada_kawai(G, **kwargs): + """Draw the graph `G` with a Kamada-Kawai force-directed layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.kamada_kawai_layout(G), **kwargs) + + Parameters + ---------- + G : graph + A networkx graph + + kwargs : optional keywords + See `draw_networkx` for a description of optional keywords. + + Notes + ----- + The layout is computed each time this function is called. + For repeated drawing it is much more efficient to call + `~networkx.drawing.layout.kamada_kawai_layout` directly and reuse the + result:: + + >>> G = nx.complete_graph(5) + >>> pos = nx.kamada_kawai_layout(G) + >>> nx.draw(G, pos=pos) # Draw the original graph + >>> # Draw a subgraph, reusing the same node positions + >>> nx.draw(G.subgraph([0, 1, 2]), pos=pos, node_color="red") + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.draw_kamada_kawai(G) + + See Also + -------- + :func:`~networkx.drawing.layout.kamada_kawai_layout` + """ + draw(G, kamada_kawai_layout(G), **kwargs) + + +def draw_random(G, **kwargs): + """Draw the graph `G` with a random layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.random_layout(G), **kwargs) + + Parameters + ---------- + G : graph + A networkx graph + + kwargs : optional keywords + See `draw_networkx` for a description of optional keywords. + + Notes + ----- + The layout is computed each time this function is called. + For repeated drawing it is much more efficient to call + `~networkx.drawing.layout.random_layout` directly and reuse the result:: + + >>> G = nx.complete_graph(5) + >>> pos = nx.random_layout(G) + >>> nx.draw(G, pos=pos) # Draw the original graph + >>> # Draw a subgraph, reusing the same node positions + >>> nx.draw(G.subgraph([0, 1, 2]), pos=pos, node_color="red") + + Examples + -------- + >>> G = nx.lollipop_graph(4, 3) + >>> nx.draw_random(G) + + See Also + -------- + :func:`~networkx.drawing.layout.random_layout` + """ + draw(G, random_layout(G), **kwargs) + + +def draw_spectral(G, **kwargs): + """Draw the graph `G` with a spectral 2D layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.spectral_layout(G), **kwargs) + + For more information about how node positions are determined, see + `~networkx.drawing.layout.spectral_layout`. + + Parameters + ---------- + G : graph + A networkx graph + + kwargs : optional keywords + See `draw_networkx` for a description of optional keywords. + + Notes + ----- + The layout is computed each time this function is called. + For repeated drawing it is much more efficient to call + `~networkx.drawing.layout.spectral_layout` directly and reuse the result:: + + >>> G = nx.complete_graph(5) + >>> pos = nx.spectral_layout(G) + >>> nx.draw(G, pos=pos) # Draw the original graph + >>> # Draw a subgraph, reusing the same node positions + >>> nx.draw(G.subgraph([0, 1, 2]), pos=pos, node_color="red") + + Examples + -------- + >>> G = nx.path_graph(5) + >>> nx.draw_spectral(G) + + See Also + -------- + :func:`~networkx.drawing.layout.spectral_layout` + """ + draw(G, spectral_layout(G), **kwargs) + + +def draw_spring(G, **kwargs): + """Draw the graph `G` with a spring layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.spring_layout(G), **kwargs) + + Parameters + ---------- + G : graph + A networkx graph + + kwargs : optional keywords + See `draw_networkx` for a description of optional keywords. + + Notes + ----- + `~networkx.drawing.layout.spring_layout` is also the default layout for + `draw`, so this function is equivalent to `draw`. + + The layout is computed each time this function is called. + For repeated drawing it is much more efficient to call + `~networkx.drawing.layout.spring_layout` directly and reuse the result:: + + >>> G = nx.complete_graph(5) + >>> pos = nx.spring_layout(G) + >>> nx.draw(G, pos=pos) # Draw the original graph + >>> # Draw a subgraph, reusing the same node positions + >>> nx.draw(G.subgraph([0, 1, 2]), pos=pos, node_color="red") + + Examples + -------- + >>> G = nx.path_graph(20) + >>> nx.draw_spring(G) + + See Also + -------- + draw + :func:`~networkx.drawing.layout.spring_layout` + """ + draw(G, spring_layout(G), **kwargs) + + +def draw_shell(G, nlist=None, **kwargs): + """Draw networkx graph `G` with shell layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.shell_layout(G, nlist=nlist), **kwargs) + + Parameters + ---------- + G : graph + A networkx graph + + nlist : list of list of nodes, optional + A list containing lists of nodes representing the shells. + Default is `None`, meaning all nodes are in a single shell. + See `~networkx.drawing.layout.shell_layout` for details. + + kwargs : optional keywords + See `draw_networkx` for a description of optional keywords. + + Notes + ----- + The layout is computed each time this function is called. + For repeated drawing it is much more efficient to call + `~networkx.drawing.layout.shell_layout` directly and reuse the result:: + + >>> G = nx.complete_graph(5) + >>> pos = nx.shell_layout(G) + >>> nx.draw(G, pos=pos) # Draw the original graph + >>> # Draw a subgraph, reusing the same node positions + >>> nx.draw(G.subgraph([0, 1, 2]), pos=pos, node_color="red") + + Examples + -------- + >>> G = nx.path_graph(4) + >>> shells = [[0], [1, 2, 3]] + >>> nx.draw_shell(G, nlist=shells) + + See Also + -------- + :func:`~networkx.drawing.layout.shell_layout` + """ + draw(G, shell_layout(G, nlist=nlist), **kwargs) + + +def draw_planar(G, **kwargs): + """Draw a planar networkx graph `G` with planar layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.planar_layout(G), **kwargs) + + Parameters + ---------- + G : graph + A planar networkx graph + + kwargs : optional keywords + See `draw_networkx` for a description of optional keywords. + + Raises + ------ + NetworkXException + When `G` is not planar + + Notes + ----- + The layout is computed each time this function is called. + For repeated drawing it is much more efficient to call + `~networkx.drawing.layout.planar_layout` directly and reuse the result:: + + >>> G = nx.path_graph(5) + >>> pos = nx.planar_layout(G) + >>> nx.draw(G, pos=pos) # Draw the original graph + >>> # Draw a subgraph, reusing the same node positions + >>> nx.draw(G.subgraph([0, 1, 2]), pos=pos, node_color="red") + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.draw_planar(G) + + See Also + -------- + :func:`~networkx.drawing.layout.planar_layout` + """ + draw(G, planar_layout(G), **kwargs) + + +def draw_forceatlas2(G, **kwargs): + """Draw a networkx graph with forceatlas2 layout. + + This is a convenience function equivalent to:: + + nx.draw(G, pos=nx.forceatlas2_layout(G), **kwargs) + + Parameters + ---------- + G : graph + A networkx graph + + kwargs : optional keywords + See networkx.draw_networkx() for a description of optional keywords, + with the exception of the pos parameter which is not used by this + function. + """ + draw(G, forceatlas2_layout(G), **kwargs) + + +def apply_alpha(colors, alpha, elem_list, cmap=None, vmin=None, vmax=None): + """Apply an alpha (or list of alphas) to the colors provided. + + Parameters + ---------- + + colors : color string or array of floats (default='r') + Color of element. Can be a single color format string, + or a sequence of colors with the same length as nodelist. + If numeric values are specified they will be mapped to + colors using the cmap and vmin,vmax parameters. See + matplotlib.scatter for more details. + + alpha : float or array of floats + Alpha values for elements. This can be a single alpha value, in + which case it will be applied to all the elements of color. Otherwise, + if it is an array, the elements of alpha will be applied to the colors + in order (cycling through alpha multiple times if necessary). + + elem_list : array of networkx objects + The list of elements which are being colored. These could be nodes, + edges or labels. + + cmap : matplotlib colormap + Color map for use if colors is a list of floats corresponding to points + on a color mapping. + + vmin, vmax : float + Minimum and maximum values for normalizing colors if a colormap is used + + Returns + ------- + + rgba_colors : numpy ndarray + Array containing RGBA format values for each of the node colours. + + """ + from itertools import cycle, islice + + import matplotlib as mpl + import matplotlib.cm # call as mpl.cm + import matplotlib.colors # call as mpl.colors + import numpy as np + + # If we have been provided with a list of numbers as long as elem_list, + # apply the color mapping. + if len(colors) == len(elem_list) and isinstance(colors[0], Number): + mapper = mpl.cm.ScalarMappable(cmap=cmap) + mapper.set_clim(vmin, vmax) + rgba_colors = mapper.to_rgba(colors) + # Otherwise, convert colors to matplotlib's RGB using the colorConverter + # object. These are converted to numpy ndarrays to be consistent with the + # to_rgba method of ScalarMappable. + else: + try: + rgba_colors = np.array([mpl.colors.colorConverter.to_rgba(colors)]) + except ValueError: + rgba_colors = np.array( + [mpl.colors.colorConverter.to_rgba(color) for color in colors] + ) + # Set the final column of the rgba_colors to have the relevant alpha values + try: + # If alpha is longer than the number of colors, resize to the number of + # elements. Also, if rgba_colors.size (the number of elements of + # rgba_colors) is the same as the number of elements, resize the array, + # to avoid it being interpreted as a colormap by scatter() + if len(alpha) > len(rgba_colors) or rgba_colors.size == len(elem_list): + rgba_colors = np.resize(rgba_colors, (len(elem_list), 4)) + rgba_colors[1:, 0] = rgba_colors[0, 0] + rgba_colors[1:, 1] = rgba_colors[0, 1] + rgba_colors[1:, 2] = rgba_colors[0, 2] + rgba_colors[:, 3] = list(islice(cycle(alpha), len(rgba_colors))) + except TypeError: + rgba_colors[:, -1] = alpha + return rgba_colors diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/baseline/test_house_with_colors.png b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/baseline/test_house_with_colors.png new file mode 100644 index 0000000000000000000000000000000000000000..6c9e5bdee713b998b23ceb6782595b29c2870a0d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/baseline/test_house_with_colors.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:1508bda48445c23ab882f801f1c0dd0472f97ae414245c3ab1094005fda4455a +size 21918 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_agraph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_agraph.py new file mode 100644 index 0000000000000000000000000000000000000000..b351a1d95f6bcd8e182c4250813cfa12ec6d83d3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_agraph.py @@ -0,0 +1,241 @@ +"""Unit tests for PyGraphviz interface.""" + +import warnings + +import pytest + +pygraphviz = pytest.importorskip("pygraphviz") + + +import networkx as nx +from networkx.utils import edges_equal, graphs_equal, nodes_equal + + +class TestAGraph: + def build_graph(self, G): + edges = [("A", "B"), ("A", "C"), ("A", "C"), ("B", "C"), ("A", "D")] + G.add_edges_from(edges) + G.add_node("E") + G.graph["metal"] = "bronze" + return G + + def assert_equal(self, G1, G2): + assert nodes_equal(G1.nodes(), G2.nodes()) + assert edges_equal(G1.edges(), G2.edges()) + assert G1.graph["metal"] == G2.graph["metal"] + + @pytest.mark.parametrize( + "G", (nx.Graph(), nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph()) + ) + def test_agraph_roundtripping(self, G, tmp_path): + G = self.build_graph(G) + A = nx.nx_agraph.to_agraph(G) + H = nx.nx_agraph.from_agraph(A) + self.assert_equal(G, H) + + fname = tmp_path / "test.dot" + nx.drawing.nx_agraph.write_dot(H, fname) + Hin = nx.nx_agraph.read_dot(fname) + self.assert_equal(H, Hin) + + fname = tmp_path / "fh_test.dot" + with open(fname, "w") as fh: + nx.drawing.nx_agraph.write_dot(H, fh) + + with open(fname) as fh: + Hin = nx.nx_agraph.read_dot(fh) + self.assert_equal(H, Hin) + + def test_from_agraph_name(self): + G = nx.Graph(name="test") + A = nx.nx_agraph.to_agraph(G) + H = nx.nx_agraph.from_agraph(A) + assert G.name == "test" + + @pytest.mark.parametrize( + "graph_class", (nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph) + ) + def test_from_agraph_create_using(self, graph_class): + G = nx.path_graph(3) + A = nx.nx_agraph.to_agraph(G) + H = nx.nx_agraph.from_agraph(A, create_using=graph_class) + assert isinstance(H, graph_class) + + def test_from_agraph_named_edges(self): + # Create an AGraph from an existing (non-multi) Graph + G = nx.Graph() + G.add_nodes_from([0, 1]) + A = nx.nx_agraph.to_agraph(G) + # Add edge (+ name, given by key) to the AGraph + A.add_edge(0, 1, key="foo") + # Verify a.name roundtrips out to 'key' in from_agraph + H = nx.nx_agraph.from_agraph(A) + assert isinstance(H, nx.Graph) + assert ("0", "1", {"key": "foo"}) in H.edges(data=True) + + def test_to_agraph_with_nodedata(self): + G = nx.Graph() + G.add_node(1, color="red") + A = nx.nx_agraph.to_agraph(G) + assert dict(A.nodes()[0].attr) == {"color": "red"} + + @pytest.mark.parametrize("graph_class", (nx.Graph, nx.MultiGraph)) + def test_to_agraph_with_edgedata(self, graph_class): + G = graph_class() + G.add_nodes_from([0, 1]) + G.add_edge(0, 1, color="yellow") + A = nx.nx_agraph.to_agraph(G) + assert dict(A.edges()[0].attr) == {"color": "yellow"} + + def test_view_pygraphviz_path(self, tmp_path): + G = nx.complete_graph(3) + input_path = str(tmp_path / "graph.png") + out_path, A = nx.nx_agraph.view_pygraphviz(G, path=input_path, show=False) + assert out_path == input_path + # Ensure file is not empty + with open(input_path, "rb") as fh: + data = fh.read() + assert len(data) > 0 + + def test_view_pygraphviz_file_suffix(self, tmp_path): + G = nx.complete_graph(3) + path, A = nx.nx_agraph.view_pygraphviz(G, suffix=1, show=False) + assert path[-6:] == "_1.png" + + def test_view_pygraphviz(self): + G = nx.Graph() # "An empty graph cannot be drawn." + pytest.raises(nx.NetworkXException, nx.nx_agraph.view_pygraphviz, G) + G = nx.barbell_graph(4, 6) + nx.nx_agraph.view_pygraphviz(G, show=False) + + def test_view_pygraphviz_edgelabel(self): + G = nx.Graph() + G.add_edge(1, 2, weight=7) + G.add_edge(2, 3, weight=8) + path, A = nx.nx_agraph.view_pygraphviz(G, edgelabel="weight", show=False) + for edge in A.edges(): + assert edge.attr["weight"] in ("7", "8") + + def test_view_pygraphviz_callable_edgelabel(self): + G = nx.complete_graph(3) + + def foo_label(data): + return "foo" + + path, A = nx.nx_agraph.view_pygraphviz(G, edgelabel=foo_label, show=False) + for edge in A.edges(): + assert edge.attr["label"] == "foo" + + def test_view_pygraphviz_multigraph_edgelabels(self): + G = nx.MultiGraph() + G.add_edge(0, 1, key=0, name="left_fork") + G.add_edge(0, 1, key=1, name="right_fork") + path, A = nx.nx_agraph.view_pygraphviz(G, edgelabel="name", show=False) + edges = A.edges() + assert len(edges) == 2 + for edge in edges: + assert edge.attr["label"].strip() in ("left_fork", "right_fork") + + def test_graph_with_reserved_keywords(self): + # test attribute/keyword clash case for #1582 + # node: n + # edges: u,v + G = nx.Graph() + G = self.build_graph(G) + G.nodes["E"]["n"] = "keyword" + G.edges[("A", "B")]["u"] = "keyword" + G.edges[("A", "B")]["v"] = "keyword" + A = nx.nx_agraph.to_agraph(G) + + def test_view_pygraphviz_no_added_attrs_to_input(self): + G = nx.complete_graph(2) + path, A = nx.nx_agraph.view_pygraphviz(G, show=False) + assert G.graph == {} + + @pytest.mark.xfail(reason="known bug in clean_attrs") + def test_view_pygraphviz_leaves_input_graph_unmodified(self): + G = nx.complete_graph(2) + # Add entries to graph dict that to_agraph handles specially + G.graph["node"] = {"width": "0.80"} + G.graph["edge"] = {"fontsize": "14"} + path, A = nx.nx_agraph.view_pygraphviz(G, show=False) + assert G.graph == {"node": {"width": "0.80"}, "edge": {"fontsize": "14"}} + + def test_graph_with_AGraph_attrs(self): + G = nx.complete_graph(2) + # Add entries to graph dict that to_agraph handles specially + G.graph["node"] = {"width": "0.80"} + G.graph["edge"] = {"fontsize": "14"} + path, A = nx.nx_agraph.view_pygraphviz(G, show=False) + # Ensure user-specified values are not lost + assert dict(A.node_attr)["width"] == "0.80" + assert dict(A.edge_attr)["fontsize"] == "14" + + def test_round_trip_empty_graph(self): + G = nx.Graph() + A = nx.nx_agraph.to_agraph(G) + H = nx.nx_agraph.from_agraph(A) + # assert graphs_equal(G, H) + AA = nx.nx_agraph.to_agraph(H) + HH = nx.nx_agraph.from_agraph(AA) + assert graphs_equal(H, HH) + G.graph["graph"] = {} + G.graph["node"] = {} + G.graph["edge"] = {} + assert graphs_equal(G, HH) + + @pytest.mark.xfail(reason="integer->string node conversion in round trip") + def test_round_trip_integer_nodes(self): + G = nx.complete_graph(3) + A = nx.nx_agraph.to_agraph(G) + H = nx.nx_agraph.from_agraph(A) + assert graphs_equal(G, H) + + def test_graphviz_alias(self): + G = self.build_graph(nx.Graph()) + pos_graphviz = nx.nx_agraph.graphviz_layout(G) + pos_pygraphviz = nx.nx_agraph.pygraphviz_layout(G) + assert pos_graphviz == pos_pygraphviz + + @pytest.mark.parametrize("root", range(5)) + def test_pygraphviz_layout_root(self, root): + # NOTE: test depends on layout prog being deterministic + G = nx.complete_graph(5) + A = nx.nx_agraph.to_agraph(G) + # Get layout with root arg is not None + pygv_layout = nx.nx_agraph.pygraphviz_layout(G, prog="circo", root=root) + # Equivalent layout directly on AGraph + A.layout(args=f"-Groot={root}", prog="circo") + # Parse AGraph layout + a1_pos = tuple(float(v) for v in dict(A.get_node("1").attr)["pos"].split(",")) + assert pygv_layout[1] == a1_pos + + def test_2d_layout(self): + G = nx.Graph() + G = self.build_graph(G) + G.graph["dimen"] = 2 + pos = nx.nx_agraph.pygraphviz_layout(G, prog="neato") + pos = list(pos.values()) + assert len(pos) == 5 + assert len(pos[0]) == 2 + + def test_3d_layout(self): + G = nx.Graph() + G = self.build_graph(G) + G.graph["dimen"] = 3 + pos = nx.nx_agraph.pygraphviz_layout(G, prog="neato") + pos = list(pos.values()) + assert len(pos) == 5 + assert len(pos[0]) == 3 + + def test_no_warnings_raised(self): + # Test that no warnings are raised when Networkx graph + # is converted to Pygraphviz graph and 'pos' + # attribute is given + G = nx.Graph() + G.add_node(0, pos=(0, 0)) + G.add_node(1, pos=(1, 1)) + A = nx.nx_agraph.to_agraph(G) + with warnings.catch_warnings(record=True) as record: + A.layout() + assert len(record) == 0 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_latex.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_latex.py new file mode 100644 index 0000000000000000000000000000000000000000..14ab5423299c3d3f7a606d1df81a30d77877910b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_latex.py @@ -0,0 +1,292 @@ +import pytest + +import networkx as nx + + +def test_tikz_attributes(): + G = nx.path_graph(4, create_using=nx.DiGraph) + pos = {n: (n, n) for n in G} + + G.add_edge(0, 0) + G.edges[(0, 0)]["label"] = "Loop" + G.edges[(0, 0)]["label_options"] = "midway" + + G.nodes[0]["style"] = "blue" + G.nodes[1]["style"] = "line width=3,draw" + G.nodes[2]["style"] = "circle,draw,blue!50" + G.nodes[3]["label"] = "Stop" + G.edges[(0, 1)]["label"] = "1st Step" + G.edges[(0, 1)]["label_options"] = "near end" + G.edges[(2, 3)]["label"] = "3rd Step" + G.edges[(2, 3)]["label_options"] = "near start" + G.edges[(2, 3)]["style"] = "bend left,green" + G.edges[(1, 2)]["label"] = "2nd" + G.edges[(1, 2)]["label_options"] = "pos=0.5" + G.edges[(1, 2)]["style"] = ">->,bend right,line width=3,green!90" + + output_tex = nx.to_latex( + G, + pos=pos, + as_document=False, + tikz_options="[scale=3]", + node_options="style", + edge_options="style", + node_label="label", + edge_label="label", + edge_label_options="label_options", + ) + expected_tex = r"""\begin{figure} + \begin{tikzpicture}[scale=3] + \draw + (0, 0) node[blue] (0){0} + (1, 1) node[line width=3,draw] (1){1} + (2, 2) node[circle,draw,blue!50] (2){2} + (3, 3) node (3){Stop}; + \begin{scope}[->] + \draw (0) to node[near end] {1st Step} (1); + \draw[loop,] (0) to node[midway] {Loop} (0); + \draw[>->,bend right,line width=3,green!90] (1) to node[pos=0.5] {2nd} (2); + \draw[bend left,green] (2) to node[near start] {3rd Step} (3); + \end{scope} + \end{tikzpicture} +\end{figure}""" + + assert output_tex == expected_tex + # print(output_tex) + # # Pretty way to assert that A.to_document() == expected_tex + # content_same = True + # for aa, bb in zip(expected_tex.split("\n"), output_tex.split("\n")): + # if aa != bb: + # content_same = False + # print(f"-{aa}|\n+{bb}|") + # assert content_same + + +def test_basic_multiple_graphs(): + H1 = nx.path_graph(4) + H2 = nx.complete_graph(4) + H3 = nx.path_graph(8) + H4 = nx.complete_graph(8) + captions = [ + "Path on 4 nodes", + "Complete graph on 4 nodes", + "Path on 8 nodes", + "Complete graph on 8 nodes", + ] + labels = ["fig2a", "fig2b", "fig2c", "fig2d"] + latex_code = nx.to_latex( + [H1, H2, H3, H4], + n_rows=2, + sub_captions=captions, + sub_labels=labels, + ) + # print(latex_code) + assert "begin{document}" in latex_code + assert "begin{figure}" in latex_code + assert latex_code.count("begin{subfigure}") == 4 + assert latex_code.count("tikzpicture") == 8 + assert latex_code.count("[-]") == 4 + + +def test_basic_tikz(): + expected_tex = r"""\documentclass{report} +\usepackage{tikz} +\usepackage{subcaption} + +\begin{document} +\begin{figure} + \begin{subfigure}{0.5\textwidth} + \begin{tikzpicture}[scale=2] + \draw[gray!90] + (0.749, 0.702) node[red!90] (0){0} + (1.0, -0.014) node[red!90] (1){1} + (-0.777, -0.705) node (2){2} + (-0.984, 0.042) node (3){3} + (-0.028, 0.375) node[cyan!90] (4){4} + (-0.412, 0.888) node (5){5} + (0.448, -0.856) node (6){6} + (0.003, -0.431) node[cyan!90] (7){7}; + \begin{scope}[->,gray!90] + \draw (0) to (4); + \draw (0) to (5); + \draw (0) to (6); + \draw (0) to (7); + \draw (1) to (4); + \draw (1) to (5); + \draw (1) to (6); + \draw (1) to (7); + \draw (2) to (4); + \draw (2) to (5); + \draw (2) to (6); + \draw (2) to (7); + \draw (3) to (4); + \draw (3) to (5); + \draw (3) to (6); + \draw (3) to (7); + \end{scope} + \end{tikzpicture} + \caption{My tikz number 1 of 2}\label{tikz_1_2} + \end{subfigure} + \begin{subfigure}{0.5\textwidth} + \begin{tikzpicture}[scale=2] + \draw[gray!90] + (0.749, 0.702) node[green!90] (0){0} + (1.0, -0.014) node[green!90] (1){1} + (-0.777, -0.705) node (2){2} + (-0.984, 0.042) node (3){3} + (-0.028, 0.375) node[purple!90] (4){4} + (-0.412, 0.888) node (5){5} + (0.448, -0.856) node (6){6} + (0.003, -0.431) node[purple!90] (7){7}; + \begin{scope}[->,gray!90] + \draw (0) to (4); + \draw (0) to (5); + \draw (0) to (6); + \draw (0) to (7); + \draw (1) to (4); + \draw (1) to (5); + \draw (1) to (6); + \draw (1) to (7); + \draw (2) to (4); + \draw (2) to (5); + \draw (2) to (6); + \draw (2) to (7); + \draw (3) to (4); + \draw (3) to (5); + \draw (3) to (6); + \draw (3) to (7); + \end{scope} + \end{tikzpicture} + \caption{My tikz number 2 of 2}\label{tikz_2_2} + \end{subfigure} + \caption{A graph generated with python and latex.} +\end{figure} +\end{document}""" + + edges = [ + (0, 4), + (0, 5), + (0, 6), + (0, 7), + (1, 4), + (1, 5), + (1, 6), + (1, 7), + (2, 4), + (2, 5), + (2, 6), + (2, 7), + (3, 4), + (3, 5), + (3, 6), + (3, 7), + ] + G = nx.DiGraph() + G.add_nodes_from(range(8)) + G.add_edges_from(edges) + pos = { + 0: (0.7490296171687696, 0.702353520257394), + 1: (1.0, -0.014221357723796535), + 2: (-0.7765783344161441, -0.7054170966808919), + 3: (-0.9842690223417624, 0.04177547602465483), + 4: (-0.02768523817180917, 0.3745724439551441), + 5: (-0.41154855146767433, 0.8880106515525136), + 6: (0.44780153389148264, -0.8561492709269164), + 7: (0.0032499953371383505, -0.43092436645809945), + } + + rc_node_color = {0: "red!90", 1: "red!90", 4: "cyan!90", 7: "cyan!90"} + gp_node_color = {0: "green!90", 1: "green!90", 4: "purple!90", 7: "purple!90"} + + H = G.copy() + nx.set_node_attributes(G, rc_node_color, "color") + nx.set_node_attributes(H, gp_node_color, "color") + + sub_captions = ["My tikz number 1 of 2", "My tikz number 2 of 2"] + sub_labels = ["tikz_1_2", "tikz_2_2"] + + output_tex = nx.to_latex( + [G, H], + [pos, pos], + tikz_options="[scale=2]", + default_node_options="gray!90", + default_edge_options="gray!90", + node_options="color", + sub_captions=sub_captions, + sub_labels=sub_labels, + caption="A graph generated with python and latex.", + n_rows=2, + as_document=True, + ) + + assert output_tex == expected_tex + # print(output_tex) + # # Pretty way to assert that A.to_document() == expected_tex + # content_same = True + # for aa, bb in zip(expected_tex.split("\n"), output_tex.split("\n")): + # if aa != bb: + # content_same = False + # print(f"-{aa}|\n+{bb}|") + # assert content_same + + +def test_exception_pos_single_graph(to_latex=nx.to_latex): + # smoke test that pos can be a string + G = nx.path_graph(4) + to_latex(G, pos="pos") + + # must include all nodes + pos = {0: (1, 2), 1: (0, 1), 2: (2, 1)} + with pytest.raises(nx.NetworkXError): + to_latex(G, pos) + + # must have 2 values + pos[3] = (1, 2, 3) + with pytest.raises(nx.NetworkXError): + to_latex(G, pos) + pos[3] = 2 + with pytest.raises(nx.NetworkXError): + to_latex(G, pos) + + # check that passes with 2 values + pos[3] = (3, 2) + to_latex(G, pos) + + +def test_exception_multiple_graphs(to_latex=nx.to_latex): + G = nx.path_graph(3) + pos_bad = {0: (1, 2), 1: (0, 1)} + pos_OK = {0: (1, 2), 1: (0, 1), 2: (2, 1)} + fourG = [G, G, G, G] + fourpos = [pos_OK, pos_OK, pos_OK, pos_OK] + + # input single dict to use for all graphs + to_latex(fourG, pos_OK) + with pytest.raises(nx.NetworkXError): + to_latex(fourG, pos_bad) + + # input list of dicts to use for all graphs + to_latex(fourG, fourpos) + with pytest.raises(nx.NetworkXError): + to_latex(fourG, [pos_bad, pos_bad, pos_bad, pos_bad]) + + # every pos dict must include all nodes + with pytest.raises(nx.NetworkXError): + to_latex(fourG, [pos_OK, pos_OK, pos_bad, pos_OK]) + + # test sub_captions and sub_labels (len must match Gbunch) + with pytest.raises(nx.NetworkXError): + to_latex(fourG, fourpos, sub_captions=["hi", "hi"]) + + with pytest.raises(nx.NetworkXError): + to_latex(fourG, fourpos, sub_labels=["hi", "hi"]) + + # all pass + to_latex(fourG, fourpos, sub_captions=["hi"] * 4, sub_labels=["lbl"] * 4) + + +def test_exception_multigraph(): + G = nx.path_graph(4, create_using=nx.MultiGraph) + G.add_edge(1, 2) + with pytest.raises(nx.NetworkXNotImplemented): + nx.to_latex(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_layout.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_layout.py new file mode 100644 index 0000000000000000000000000000000000000000..7f0412ce04c745043d4921add557304277b6e691 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_layout.py @@ -0,0 +1,538 @@ +"""Unit tests for layout functions.""" + +import pytest + +import networkx as nx + +np = pytest.importorskip("numpy") +pytest.importorskip("scipy") + + +class TestLayout: + @classmethod + def setup_class(cls): + cls.Gi = nx.grid_2d_graph(5, 5) + cls.Gs = nx.Graph() + nx.add_path(cls.Gs, "abcdef") + cls.bigG = nx.grid_2d_graph(25, 25) # > 500 nodes for sparse + + def test_spring_fixed_without_pos(self): + G = nx.path_graph(4) + pytest.raises(ValueError, nx.spring_layout, G, fixed=[0]) + pos = {0: (1, 1), 2: (0, 0)} + pytest.raises(ValueError, nx.spring_layout, G, fixed=[0, 1], pos=pos) + nx.spring_layout(G, fixed=[0, 2], pos=pos) # No ValueError + + def test_spring_init_pos(self): + # Tests GH #2448 + import math + + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (2, 0), (2, 3)]) + + init_pos = {0: (0.0, 0.0)} + fixed_pos = [0] + pos = nx.fruchterman_reingold_layout(G, pos=init_pos, fixed=fixed_pos) + has_nan = any(math.isnan(c) for coords in pos.values() for c in coords) + assert not has_nan, "values should not be nan" + + def test_smoke_empty_graph(self): + G = [] + nx.random_layout(G) + nx.circular_layout(G) + nx.planar_layout(G) + nx.spring_layout(G) + nx.fruchterman_reingold_layout(G) + nx.spectral_layout(G) + nx.shell_layout(G) + nx.bipartite_layout(G, G) + nx.spiral_layout(G) + nx.multipartite_layout(G) + nx.kamada_kawai_layout(G) + + def test_smoke_int(self): + G = self.Gi + nx.random_layout(G) + nx.circular_layout(G) + nx.planar_layout(G) + nx.spring_layout(G) + nx.forceatlas2_layout(G) + nx.fruchterman_reingold_layout(G) + nx.fruchterman_reingold_layout(self.bigG) + nx.spectral_layout(G) + nx.spectral_layout(G.to_directed()) + nx.spectral_layout(self.bigG) + nx.spectral_layout(self.bigG.to_directed()) + nx.shell_layout(G) + nx.spiral_layout(G) + nx.kamada_kawai_layout(G) + nx.kamada_kawai_layout(G, dim=1) + nx.kamada_kawai_layout(G, dim=3) + nx.arf_layout(G) + + def test_smoke_string(self): + G = self.Gs + nx.random_layout(G) + nx.circular_layout(G) + nx.planar_layout(G) + nx.spring_layout(G) + nx.forceatlas2_layout(G) + nx.fruchterman_reingold_layout(G) + nx.spectral_layout(G) + nx.shell_layout(G) + nx.spiral_layout(G) + nx.kamada_kawai_layout(G) + nx.kamada_kawai_layout(G, dim=1) + nx.kamada_kawai_layout(G, dim=3) + nx.arf_layout(G) + + def check_scale_and_center(self, pos, scale, center): + center = np.array(center) + low = center - scale + hi = center + scale + vpos = np.array(list(pos.values())) + length = vpos.max(0) - vpos.min(0) + assert (length <= 2 * scale).all() + assert (vpos >= low).all() + assert (vpos <= hi).all() + + def test_scale_and_center_arg(self): + sc = self.check_scale_and_center + c = (4, 5) + G = nx.complete_graph(9) + G.add_node(9) + sc(nx.random_layout(G, center=c), scale=0.5, center=(4.5, 5.5)) + # rest can have 2*scale length: [-scale, scale] + sc(nx.spring_layout(G, scale=2, center=c), scale=2, center=c) + sc(nx.spectral_layout(G, scale=2, center=c), scale=2, center=c) + sc(nx.circular_layout(G, scale=2, center=c), scale=2, center=c) + sc(nx.shell_layout(G, scale=2, center=c), scale=2, center=c) + sc(nx.spiral_layout(G, scale=2, center=c), scale=2, center=c) + sc(nx.kamada_kawai_layout(G, scale=2, center=c), scale=2, center=c) + + c = (2, 3, 5) + sc(nx.kamada_kawai_layout(G, dim=3, scale=2, center=c), scale=2, center=c) + + def test_planar_layout_non_planar_input(self): + G = nx.complete_graph(9) + pytest.raises(nx.NetworkXException, nx.planar_layout, G) + + def test_smoke_planar_layout_embedding_input(self): + embedding = nx.PlanarEmbedding() + embedding.set_data({0: [1, 2], 1: [0, 2], 2: [0, 1]}) + nx.planar_layout(embedding) + + def test_default_scale_and_center(self): + sc = self.check_scale_and_center + c = (0, 0) + G = nx.complete_graph(9) + G.add_node(9) + sc(nx.random_layout(G), scale=0.5, center=(0.5, 0.5)) + sc(nx.spring_layout(G), scale=1, center=c) + sc(nx.spectral_layout(G), scale=1, center=c) + sc(nx.circular_layout(G), scale=1, center=c) + sc(nx.shell_layout(G), scale=1, center=c) + sc(nx.spiral_layout(G), scale=1, center=c) + sc(nx.kamada_kawai_layout(G), scale=1, center=c) + + c = (0, 0, 0) + sc(nx.kamada_kawai_layout(G, dim=3), scale=1, center=c) + + def test_circular_planar_and_shell_dim_error(self): + G = nx.path_graph(4) + pytest.raises(ValueError, nx.circular_layout, G, dim=1) + pytest.raises(ValueError, nx.shell_layout, G, dim=1) + pytest.raises(ValueError, nx.shell_layout, G, dim=3) + pytest.raises(ValueError, nx.planar_layout, G, dim=1) + pytest.raises(ValueError, nx.planar_layout, G, dim=3) + + def test_adjacency_interface_numpy(self): + A = nx.to_numpy_array(self.Gs) + pos = nx.drawing.layout._fruchterman_reingold(A) + assert pos.shape == (6, 2) + pos = nx.drawing.layout._fruchterman_reingold(A, dim=3) + assert pos.shape == (6, 3) + pos = nx.drawing.layout._sparse_fruchterman_reingold(A) + assert pos.shape == (6, 2) + + def test_adjacency_interface_scipy(self): + A = nx.to_scipy_sparse_array(self.Gs, dtype="d") + pos = nx.drawing.layout._sparse_fruchterman_reingold(A) + assert pos.shape == (6, 2) + pos = nx.drawing.layout._sparse_spectral(A) + assert pos.shape == (6, 2) + pos = nx.drawing.layout._sparse_fruchterman_reingold(A, dim=3) + assert pos.shape == (6, 3) + + def test_single_nodes(self): + G = nx.path_graph(1) + vpos = nx.shell_layout(G) + assert not vpos[0].any() + G = nx.path_graph(4) + vpos = nx.shell_layout(G, [[0], [1, 2], [3]]) + assert not vpos[0].any() + assert vpos[3].any() # ensure node 3 not at origin (#3188) + assert np.linalg.norm(vpos[3]) <= 1 # ensure node 3 fits (#3753) + vpos = nx.shell_layout(G, [[0], [1, 2], [3]], rotate=0) + assert np.linalg.norm(vpos[3]) <= 1 # ensure node 3 fits (#3753) + + def test_smoke_initial_pos_forceatlas2(self): + pos = nx.circular_layout(self.Gi) + npos = nx.forceatlas2_layout(self.Gi, pos=pos) + + def test_smoke_initial_pos_fruchterman_reingold(self): + pos = nx.circular_layout(self.Gi) + npos = nx.fruchterman_reingold_layout(self.Gi, pos=pos) + + def test_smoke_initial_pos_arf(self): + pos = nx.circular_layout(self.Gi) + npos = nx.arf_layout(self.Gi, pos=pos) + + def test_fixed_node_fruchterman_reingold(self): + # Dense version (numpy based) + pos = nx.circular_layout(self.Gi) + npos = nx.spring_layout(self.Gi, pos=pos, fixed=[(0, 0)]) + assert tuple(pos[(0, 0)]) == tuple(npos[(0, 0)]) + # Sparse version (scipy based) + pos = nx.circular_layout(self.bigG) + npos = nx.spring_layout(self.bigG, pos=pos, fixed=[(0, 0)]) + for axis in range(2): + assert pos[(0, 0)][axis] == pytest.approx(npos[(0, 0)][axis], abs=1e-7) + + def test_center_parameter(self): + G = nx.path_graph(1) + nx.random_layout(G, center=(1, 1)) + vpos = nx.circular_layout(G, center=(1, 1)) + assert tuple(vpos[0]) == (1, 1) + vpos = nx.planar_layout(G, center=(1, 1)) + assert tuple(vpos[0]) == (1, 1) + vpos = nx.spring_layout(G, center=(1, 1)) + assert tuple(vpos[0]) == (1, 1) + vpos = nx.fruchterman_reingold_layout(G, center=(1, 1)) + assert tuple(vpos[0]) == (1, 1) + vpos = nx.spectral_layout(G, center=(1, 1)) + assert tuple(vpos[0]) == (1, 1) + vpos = nx.shell_layout(G, center=(1, 1)) + assert tuple(vpos[0]) == (1, 1) + vpos = nx.spiral_layout(G, center=(1, 1)) + assert tuple(vpos[0]) == (1, 1) + + def test_center_wrong_dimensions(self): + G = nx.path_graph(1) + assert id(nx.spring_layout) == id(nx.fruchterman_reingold_layout) + pytest.raises(ValueError, nx.random_layout, G, center=(1, 1, 1)) + pytest.raises(ValueError, nx.circular_layout, G, center=(1, 1, 1)) + pytest.raises(ValueError, nx.planar_layout, G, center=(1, 1, 1)) + pytest.raises(ValueError, nx.spring_layout, G, center=(1, 1, 1)) + pytest.raises(ValueError, nx.spring_layout, G, dim=3, center=(1, 1)) + pytest.raises(ValueError, nx.spectral_layout, G, center=(1, 1, 1)) + pytest.raises(ValueError, nx.spectral_layout, G, dim=3, center=(1, 1)) + pytest.raises(ValueError, nx.shell_layout, G, center=(1, 1, 1)) + pytest.raises(ValueError, nx.spiral_layout, G, center=(1, 1, 1)) + pytest.raises(ValueError, nx.kamada_kawai_layout, G, center=(1, 1, 1)) + + def test_empty_graph(self): + G = nx.empty_graph() + vpos = nx.random_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.circular_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.planar_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.bipartite_layout(G, G) + assert vpos == {} + vpos = nx.spring_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.fruchterman_reingold_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.spectral_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.shell_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.spiral_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.multipartite_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.kamada_kawai_layout(G, center=(1, 1)) + assert vpos == {} + vpos = nx.forceatlas2_layout(G) + assert vpos == {} + vpos = nx.arf_layout(G) + assert vpos == {} + + def test_bipartite_layout(self): + G = nx.complete_bipartite_graph(3, 5) + top, bottom = nx.bipartite.sets(G) + + vpos = nx.bipartite_layout(G, top) + assert len(vpos) == len(G) + + top_x = vpos[list(top)[0]][0] + bottom_x = vpos[list(bottom)[0]][0] + for node in top: + assert vpos[node][0] == top_x + for node in bottom: + assert vpos[node][0] == bottom_x + + vpos = nx.bipartite_layout( + G, top, align="horizontal", center=(2, 2), scale=2, aspect_ratio=1 + ) + assert len(vpos) == len(G) + + top_y = vpos[list(top)[0]][1] + bottom_y = vpos[list(bottom)[0]][1] + for node in top: + assert vpos[node][1] == top_y + for node in bottom: + assert vpos[node][1] == bottom_y + + pytest.raises(ValueError, nx.bipartite_layout, G, top, align="foo") + + def test_multipartite_layout(self): + sizes = (0, 5, 7, 2, 8) + G = nx.complete_multipartite_graph(*sizes) + + vpos = nx.multipartite_layout(G) + assert len(vpos) == len(G) + + start = 0 + for n in sizes: + end = start + n + assert all(vpos[start][0] == vpos[i][0] for i in range(start + 1, end)) + start += n + + vpos = nx.multipartite_layout(G, align="horizontal", scale=2, center=(2, 2)) + assert len(vpos) == len(G) + + start = 0 + for n in sizes: + end = start + n + assert all(vpos[start][1] == vpos[i][1] for i in range(start + 1, end)) + start += n + + pytest.raises(ValueError, nx.multipartite_layout, G, align="foo") + + def test_kamada_kawai_costfn_1d(self): + costfn = nx.drawing.layout._kamada_kawai_costfn + + pos = np.array([4.0, 7.0]) + invdist = 1 / np.array([[0.1, 2.0], [2.0, 0.3]]) + + cost, grad = costfn(pos, np, invdist, meanweight=0, dim=1) + + assert cost == pytest.approx(((3 / 2.0 - 1) ** 2), abs=1e-7) + assert grad[0] == pytest.approx((-0.5), abs=1e-7) + assert grad[1] == pytest.approx(0.5, abs=1e-7) + + def check_kamada_kawai_costfn(self, pos, invdist, meanwt, dim): + costfn = nx.drawing.layout._kamada_kawai_costfn + + cost, grad = costfn(pos.ravel(), np, invdist, meanweight=meanwt, dim=dim) + + expected_cost = 0.5 * meanwt * np.sum(np.sum(pos, axis=0) ** 2) + for i in range(pos.shape[0]): + for j in range(i + 1, pos.shape[0]): + diff = np.linalg.norm(pos[i] - pos[j]) + expected_cost += (diff * invdist[i][j] - 1.0) ** 2 + + assert cost == pytest.approx(expected_cost, abs=1e-7) + + dx = 1e-4 + for nd in range(pos.shape[0]): + for dm in range(pos.shape[1]): + idx = nd * pos.shape[1] + dm + ps = pos.flatten() + + ps[idx] += dx + cplus = costfn(ps, np, invdist, meanweight=meanwt, dim=pos.shape[1])[0] + + ps[idx] -= 2 * dx + cminus = costfn(ps, np, invdist, meanweight=meanwt, dim=pos.shape[1])[0] + + assert grad[idx] == pytest.approx((cplus - cminus) / (2 * dx), abs=1e-5) + + def test_kamada_kawai_costfn(self): + invdist = 1 / np.array([[0.1, 2.1, 1.7], [2.1, 0.2, 0.6], [1.7, 0.6, 0.3]]) + meanwt = 0.3 + + # 2d + pos = np.array([[1.3, -3.2], [2.7, -0.3], [5.1, 2.5]]) + + self.check_kamada_kawai_costfn(pos, invdist, meanwt, 2) + + # 3d + pos = np.array([[0.9, 8.6, -8.7], [-10, -0.5, -7.1], [9.1, -8.1, 1.6]]) + + self.check_kamada_kawai_costfn(pos, invdist, meanwt, 3) + + def test_spiral_layout(self): + G = self.Gs + + # a lower value of resolution should result in a more compact layout + # intuitively, the total distance from the start and end nodes + # via each node in between (transiting through each) will be less, + # assuming rescaling does not occur on the computed node positions + pos_standard = np.array(list(nx.spiral_layout(G, resolution=0.35).values())) + pos_tighter = np.array(list(nx.spiral_layout(G, resolution=0.34).values())) + distances = np.linalg.norm(pos_standard[:-1] - pos_standard[1:], axis=1) + distances_tighter = np.linalg.norm(pos_tighter[:-1] - pos_tighter[1:], axis=1) + assert sum(distances) > sum(distances_tighter) + + # return near-equidistant points after the first value if set to true + pos_equidistant = np.array(list(nx.spiral_layout(G, equidistant=True).values())) + distances_equidistant = np.linalg.norm( + pos_equidistant[:-1] - pos_equidistant[1:], axis=1 + ) + assert np.allclose( + distances_equidistant[1:], distances_equidistant[-1], atol=0.01 + ) + + def test_spiral_layout_equidistant(self): + G = nx.path_graph(10) + pos = nx.spiral_layout(G, equidistant=True) + # Extract individual node positions as an array + p = np.array(list(pos.values())) + # Elementwise-distance between node positions + dist = np.linalg.norm(p[1:] - p[:-1], axis=1) + assert np.allclose(np.diff(dist), 0, atol=1e-3) + + def test_forceatlas2_layout_partial_input_test(self): + # check whether partial pos input still returns a full proper position + G = self.Gs + node = nx.utils.arbitrary_element(G) + pos = nx.circular_layout(G) + del pos[node] + pos = nx.forceatlas2_layout(G, pos=pos) + assert len(pos) == len(G) + + def test_rescale_layout_dict(self): + G = nx.empty_graph() + vpos = nx.random_layout(G, center=(1, 1)) + assert nx.rescale_layout_dict(vpos) == {} + + G = nx.empty_graph(2) + vpos = {0: (0.0, 0.0), 1: (1.0, 1.0)} + s_vpos = nx.rescale_layout_dict(vpos) + assert np.linalg.norm([sum(x) for x in zip(*s_vpos.values())]) < 1e-6 + + G = nx.empty_graph(3) + vpos = {0: (0, 0), 1: (1, 1), 2: (0.5, 0.5)} + s_vpos = nx.rescale_layout_dict(vpos) + + expectation = { + 0: np.array((-1, -1)), + 1: np.array((1, 1)), + 2: np.array((0, 0)), + } + for k, v in expectation.items(): + assert (s_vpos[k] == v).all() + s_vpos = nx.rescale_layout_dict(vpos, scale=2) + expectation = { + 0: np.array((-2, -2)), + 1: np.array((2, 2)), + 2: np.array((0, 0)), + } + for k, v in expectation.items(): + assert (s_vpos[k] == v).all() + + def test_arf_layout_partial_input_test(self): + # Checks whether partial pos input still returns a proper position. + G = self.Gs + node = nx.utils.arbitrary_element(G) + pos = nx.circular_layout(G) + del pos[node] + pos = nx.arf_layout(G, pos=pos) + assert len(pos) == len(G) + + def test_arf_layout_negative_a_check(self): + """ + Checks input parameters correctly raises errors. For example, `a` should be larger than 1 + """ + G = self.Gs + pytest.raises(ValueError, nx.arf_layout, G=G, a=-1) + + def test_smoke_seed_input(self): + G = self.Gs + nx.random_layout(G, seed=42) + nx.spring_layout(G, seed=42) + nx.arf_layout(G, seed=42) + nx.forceatlas2_layout(G, seed=42) + + +def test_multipartite_layout_nonnumeric_partition_labels(): + """See gh-5123.""" + G = nx.Graph() + G.add_node(0, subset="s0") + G.add_node(1, subset="s0") + G.add_node(2, subset="s1") + G.add_node(3, subset="s1") + G.add_edges_from([(0, 2), (0, 3), (1, 2)]) + pos = nx.multipartite_layout(G) + assert len(pos) == len(G) + + +def test_multipartite_layout_layer_order(): + """Return the layers in sorted order if the layers of the multipartite + graph are sortable. See gh-5691""" + G = nx.Graph() + node_group = dict(zip(("a", "b", "c", "d", "e"), (2, 3, 1, 2, 4))) + for node, layer in node_group.items(): + G.add_node(node, subset=layer) + + # Horizontal alignment, therefore y-coord determines layers + pos = nx.multipartite_layout(G, align="horizontal") + + layers = nx.utils.groups(node_group) + pos_from_layers = nx.multipartite_layout(G, align="horizontal", subset_key=layers) + for (n1, p1), (n2, p2) in zip(pos.items(), pos_from_layers.items()): + assert n1 == n2 and (p1 == p2).all() + + # Nodes "a" and "d" are in the same layer + assert pos["a"][-1] == pos["d"][-1] + # positions should be sorted according to layer + assert pos["c"][-1] < pos["a"][-1] < pos["b"][-1] < pos["e"][-1] + + # Make sure that multipartite_layout still works when layers are not sortable + G.nodes["a"]["subset"] = "layer_0" # Can't sort mixed strs/ints + pos_nosort = nx.multipartite_layout(G) # smoke test: this should not raise + assert pos_nosort.keys() == pos.keys() + + +def _num_nodes_per_bfs_layer(pos): + """Helper function to extract the number of nodes in each layer of bfs_layout""" + x = np.array(list(pos.values()))[:, 0] # node positions in layered dimension + _, layer_count = np.unique(x, return_counts=True) + return layer_count + + +@pytest.mark.parametrize("n", range(2, 7)) +def test_bfs_layout_complete_graph(n): + """The complete graph should result in two layers: the starting node and + a second layer containing all neighbors.""" + G = nx.complete_graph(n) + pos = nx.bfs_layout(G, start=0) + assert np.array_equal(_num_nodes_per_bfs_layer(pos), [1, n - 1]) + + +def test_bfs_layout_barbell(): + G = nx.barbell_graph(5, 3) + # Start in one of the "bells" + pos = nx.bfs_layout(G, start=0) + # start, bell-1, [1] * len(bar)+1, bell-1 + expected_nodes_per_layer = [1, 4, 1, 1, 1, 1, 4] + assert np.array_equal(_num_nodes_per_bfs_layer(pos), expected_nodes_per_layer) + # Start in the other "bell" - expect same layer pattern + pos = nx.bfs_layout(G, start=12) + assert np.array_equal(_num_nodes_per_bfs_layer(pos), expected_nodes_per_layer) + # Starting in the center of the bar, expect layers to be symmetric + pos = nx.bfs_layout(G, start=6) + # Expected layers: {6 (start)}, {5, 7}, {4, 8}, {8 nodes from remainder of bells} + expected_nodes_per_layer = [1, 2, 2, 8] + assert np.array_equal(_num_nodes_per_bfs_layer(pos), expected_nodes_per_layer) + + +def test_bfs_layout_disconnected(): + G = nx.complete_graph(5) + G.add_edges_from([(10, 11), (11, 12)]) + with pytest.raises(nx.NetworkXError, match="bfs_layout didn't include all nodes"): + nx.bfs_layout(G, start=0) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_pydot.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_pydot.py new file mode 100644 index 0000000000000000000000000000000000000000..acf93d77ec3e555207f8c02b5a9da00633382eed --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_pydot.py @@ -0,0 +1,146 @@ +"""Unit tests for pydot drawing functions.""" + +from io import StringIO + +import pytest + +import networkx as nx +from networkx.utils import graphs_equal + +pydot = pytest.importorskip("pydot") + + +class TestPydot: + @pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph())) + @pytest.mark.parametrize("prog", ("neato", "dot")) + def test_pydot(self, G, prog, tmp_path): + """ + Validate :mod:`pydot`-based usage of the passed NetworkX graph with the + passed basename of an external GraphViz command (e.g., `dot`, `neato`). + """ + + # Set the name of this graph to... "G". Failing to do so will + # subsequently trip an assertion expecting this name. + G.graph["name"] = "G" + + # Add arbitrary nodes and edges to the passed empty graph. + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "C"), ("A", "D")]) + G.add_node("E") + + # Validate layout of this graph with the passed GraphViz command. + graph_layout = nx.nx_pydot.pydot_layout(G, prog=prog) + assert isinstance(graph_layout, dict) + + # Convert this graph into a "pydot.Dot" instance. + P = nx.nx_pydot.to_pydot(G) + + # Convert this "pydot.Dot" instance back into a graph of the same type. + G2 = G.__class__(nx.nx_pydot.from_pydot(P)) + + # Validate the original and resulting graphs to be the same. + assert graphs_equal(G, G2) + + fname = tmp_path / "out.dot" + + # Serialize this "pydot.Dot" instance to a temporary file in dot format + P.write_raw(fname) + + # Deserialize a list of new "pydot.Dot" instances back from this file. + Pin_list = pydot.graph_from_dot_file(path=fname, encoding="utf-8") + + # Validate this file to contain only one graph. + assert len(Pin_list) == 1 + + # The single "pydot.Dot" instance deserialized from this file. + Pin = Pin_list[0] + + # Sorted list of all nodes in the original "pydot.Dot" instance. + n1 = sorted(p.get_name() for p in P.get_node_list()) + + # Sorted list of all nodes in the deserialized "pydot.Dot" instance. + n2 = sorted(p.get_name() for p in Pin.get_node_list()) + + # Validate these instances to contain the same nodes. + assert n1 == n2 + + # Sorted list of all edges in the original "pydot.Dot" instance. + e1 = sorted((e.get_source(), e.get_destination()) for e in P.get_edge_list()) + + # Sorted list of all edges in the original "pydot.Dot" instance. + e2 = sorted((e.get_source(), e.get_destination()) for e in Pin.get_edge_list()) + + # Validate these instances to contain the same edges. + assert e1 == e2 + + # Deserialize a new graph of the same type back from this file. + Hin = nx.nx_pydot.read_dot(fname) + Hin = G.__class__(Hin) + + # Validate the original and resulting graphs to be the same. + assert graphs_equal(G, Hin) + + def test_read_write(self): + G = nx.MultiGraph() + G.graph["name"] = "G" + G.add_edge("1", "2", key="0") # read assumes strings + fh = StringIO() + nx.nx_pydot.write_dot(G, fh) + fh.seek(0) + H = nx.nx_pydot.read_dot(fh) + assert graphs_equal(G, H) + + +def test_pydot_issue_7581(tmp_path): + """Validate that `nx_pydot.pydot_layout` handles nodes + with characters like "\n", " ". + + Those characters cause `pydot` to escape and quote them on output, + which caused #7581. + """ + G = nx.Graph() + G.add_edges_from([("A\nbig test", "B"), ("A\nbig test", "C"), ("B", "C")]) + + graph_layout = nx.nx_pydot.pydot_layout(G, prog="dot") + assert isinstance(graph_layout, dict) + + # Convert the graph to pydot and back into a graph. There should be no difference. + P = nx.nx_pydot.to_pydot(G) + G2 = nx.Graph(nx.nx_pydot.from_pydot(P)) + assert graphs_equal(G, G2) + + +@pytest.mark.parametrize( + "graph_type", [nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph] +) +def test_hashable_pydot(graph_type): + # gh-5790 + G = graph_type() + G.add_edge("5", frozenset([1]), t='"Example:A"', l=False) + G.add_edge("1", 2, w=True, t=("node1",), l=frozenset(["node1"])) + G.add_edge("node", (3, 3), w="string") + + assert [ + {"t": '"Example:A"', "l": "False"}, + {"w": "True", "t": "('node1',)", "l": "frozenset({'node1'})"}, + {"w": "string"}, + ] == [ + attr + for _, _, attr in nx.nx_pydot.from_pydot(nx.nx_pydot.to_pydot(G)).edges.data() + ] + + assert {str(i) for i in G.nodes()} == set( + nx.nx_pydot.from_pydot(nx.nx_pydot.to_pydot(G)).nodes + ) + + +def test_pydot_numerical_name(): + G = nx.Graph() + G.add_edges_from([("A", "B"), (0, 1)]) + graph_layout = nx.nx_pydot.pydot_layout(G, prog="dot") + assert isinstance(graph_layout, dict) + assert "0" not in graph_layout + assert 0 in graph_layout + assert "1" not in graph_layout + assert 1 in graph_layout + assert "A" in graph_layout + assert "B" in graph_layout diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_pylab.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_pylab.py new file mode 100644 index 0000000000000000000000000000000000000000..c9931db8327b15a1cca812b2887f45b6d70b6458 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/drawing/tests/test_pylab.py @@ -0,0 +1,1029 @@ +"""Unit tests for matplotlib drawing functions.""" + +import itertools +import os +import warnings + +import pytest + +mpl = pytest.importorskip("matplotlib") +np = pytest.importorskip("numpy") +mpl.use("PS") +plt = pytest.importorskip("matplotlib.pyplot") +plt.rcParams["text.usetex"] = False + + +import networkx as nx + +barbell = nx.barbell_graph(4, 6) + + +def test_draw(): + try: + functions = [ + nx.draw_circular, + nx.draw_kamada_kawai, + nx.draw_planar, + nx.draw_random, + nx.draw_spectral, + nx.draw_spring, + nx.draw_shell, + ] + options = [{"node_color": "black", "node_size": 100, "width": 3}] + for function, option in itertools.product(functions, options): + function(barbell, **option) + plt.savefig("test.ps") + except ModuleNotFoundError: # draw_kamada_kawai requires scipy + pass + finally: + try: + os.unlink("test.ps") + except OSError: + pass + + +def test_draw_shell_nlist(): + try: + nlist = [list(range(4)), list(range(4, 10)), list(range(10, 14))] + nx.draw_shell(barbell, nlist=nlist) + plt.savefig("test.ps") + finally: + try: + os.unlink("test.ps") + except OSError: + pass + + +def test_edge_colormap(): + colors = range(barbell.number_of_edges()) + nx.draw_spring( + barbell, edge_color=colors, width=4, edge_cmap=plt.cm.Blues, with_labels=True + ) + # plt.show() + + +def test_arrows(): + nx.draw_spring(barbell.to_directed()) + # plt.show() + + +@pytest.mark.parametrize( + ("edge_color", "expected"), + ( + (None, "black"), # Default + ("r", "red"), # Non-default color string + (["r"], "red"), # Single non-default color in a list + ((1.0, 1.0, 0.0), "yellow"), # single color as rgb tuple + ([(1.0, 1.0, 0.0)], "yellow"), # single color as rgb tuple in list + ((0, 1, 0, 1), "lime"), # single color as rgba tuple + ([(0, 1, 0, 1)], "lime"), # single color as rgba tuple in list + ("#0000ff", "blue"), # single color hex code + (["#0000ff"], "blue"), # hex code in list + ), +) +@pytest.mark.parametrize("edgelist", (None, [(0, 1)])) +def test_single_edge_color_undirected(edge_color, expected, edgelist): + """Tests ways of specifying all edges have a single color for edges + drawn with a LineCollection""" + + G = nx.path_graph(3) + drawn_edges = nx.draw_networkx_edges( + G, pos=nx.random_layout(G), edgelist=edgelist, edge_color=edge_color + ) + assert mpl.colors.same_color(drawn_edges.get_color(), expected) + + +@pytest.mark.parametrize( + ("edge_color", "expected"), + ( + (None, "black"), # Default + ("r", "red"), # Non-default color string + (["r"], "red"), # Single non-default color in a list + ((1.0, 1.0, 0.0), "yellow"), # single color as rgb tuple + ([(1.0, 1.0, 0.0)], "yellow"), # single color as rgb tuple in list + ((0, 1, 0, 1), "lime"), # single color as rgba tuple + ([(0, 1, 0, 1)], "lime"), # single color as rgba tuple in list + ("#0000ff", "blue"), # single color hex code + (["#0000ff"], "blue"), # hex code in list + ), +) +@pytest.mark.parametrize("edgelist", (None, [(0, 1)])) +def test_single_edge_color_directed(edge_color, expected, edgelist): + """Tests ways of specifying all edges have a single color for edges drawn + with FancyArrowPatches""" + + G = nx.path_graph(3, create_using=nx.DiGraph) + drawn_edges = nx.draw_networkx_edges( + G, pos=nx.random_layout(G), edgelist=edgelist, edge_color=edge_color + ) + for fap in drawn_edges: + assert mpl.colors.same_color(fap.get_edgecolor(), expected) + + +def test_edge_color_tuple_interpretation(): + """If edge_color is a sequence with the same length as edgelist, then each + value in edge_color is mapped onto each edge via colormap.""" + G = nx.path_graph(6, create_using=nx.DiGraph) + pos = {n: (n, n) for n in range(len(G))} + + # num edges != 3 or 4 --> edge_color interpreted as rgb(a) + for ec in ((0, 0, 1), (0, 0, 1, 1)): + # More than 4 edges + drawn_edges = nx.draw_networkx_edges(G, pos, edge_color=ec) + for fap in drawn_edges: + assert mpl.colors.same_color(fap.get_edgecolor(), ec) + # Fewer than 3 edges + drawn_edges = nx.draw_networkx_edges( + G, pos, edgelist=[(0, 1), (1, 2)], edge_color=ec + ) + for fap in drawn_edges: + assert mpl.colors.same_color(fap.get_edgecolor(), ec) + + # num edges == 3, len(edge_color) == 4: interpreted as rgba + drawn_edges = nx.draw_networkx_edges( + G, pos, edgelist=[(0, 1), (1, 2), (2, 3)], edge_color=(0, 0, 1, 1) + ) + for fap in drawn_edges: + assert mpl.colors.same_color(fap.get_edgecolor(), "blue") + + # num edges == 4, len(edge_color) == 3: interpreted as rgb + drawn_edges = nx.draw_networkx_edges( + G, pos, edgelist=[(0, 1), (1, 2), (2, 3), (3, 4)], edge_color=(0, 0, 1) + ) + for fap in drawn_edges: + assert mpl.colors.same_color(fap.get_edgecolor(), "blue") + + # num edges == len(edge_color) == 3: interpreted with cmap, *not* as rgb + drawn_edges = nx.draw_networkx_edges( + G, pos, edgelist=[(0, 1), (1, 2), (2, 3)], edge_color=(0, 0, 1) + ) + assert mpl.colors.same_color( + drawn_edges[0].get_edgecolor(), drawn_edges[1].get_edgecolor() + ) + for fap in drawn_edges: + assert not mpl.colors.same_color(fap.get_edgecolor(), "blue") + + # num edges == len(edge_color) == 4: interpreted with cmap, *not* as rgba + drawn_edges = nx.draw_networkx_edges( + G, pos, edgelist=[(0, 1), (1, 2), (2, 3), (3, 4)], edge_color=(0, 0, 1, 1) + ) + assert mpl.colors.same_color( + drawn_edges[0].get_edgecolor(), drawn_edges[1].get_edgecolor() + ) + assert mpl.colors.same_color( + drawn_edges[2].get_edgecolor(), drawn_edges[3].get_edgecolor() + ) + for fap in drawn_edges: + assert not mpl.colors.same_color(fap.get_edgecolor(), "blue") + + +def test_fewer_edge_colors_than_num_edges_directed(): + """Test that the edge colors are cycled when there are fewer specified + colors than edges.""" + G = barbell.to_directed() + pos = nx.random_layout(barbell) + edgecolors = ("r", "g", "b") + drawn_edges = nx.draw_networkx_edges(G, pos, edge_color=edgecolors) + for fap, expected in zip(drawn_edges, itertools.cycle(edgecolors)): + assert mpl.colors.same_color(fap.get_edgecolor(), expected) + + +def test_more_edge_colors_than_num_edges_directed(): + """Test that extra edge colors are ignored when there are more specified + colors than edges.""" + G = nx.path_graph(4, create_using=nx.DiGraph) # 3 edges + pos = nx.random_layout(barbell) + edgecolors = ("r", "g", "b", "c") # 4 edge colors + drawn_edges = nx.draw_networkx_edges(G, pos, edge_color=edgecolors) + for fap, expected in zip(drawn_edges, edgecolors[:-1]): + assert mpl.colors.same_color(fap.get_edgecolor(), expected) + + +def test_edge_color_string_with_global_alpha_undirected(): + edge_collection = nx.draw_networkx_edges( + barbell, + pos=nx.random_layout(barbell), + edgelist=[(0, 1), (1, 2)], + edge_color="purple", + alpha=0.2, + ) + ec = edge_collection.get_color().squeeze() # as rgba tuple + assert len(edge_collection.get_paths()) == 2 + assert mpl.colors.same_color(ec[:-1], "purple") + assert ec[-1] == 0.2 + + +def test_edge_color_string_with_global_alpha_directed(): + drawn_edges = nx.draw_networkx_edges( + barbell.to_directed(), + pos=nx.random_layout(barbell), + edgelist=[(0, 1), (1, 2)], + edge_color="purple", + alpha=0.2, + ) + assert len(drawn_edges) == 2 + for fap in drawn_edges: + ec = fap.get_edgecolor() # As rgba tuple + assert mpl.colors.same_color(ec[:-1], "purple") + assert ec[-1] == 0.2 + + +@pytest.mark.parametrize("graph_type", (nx.Graph, nx.DiGraph)) +def test_edge_width_default_value(graph_type): + """Test the default linewidth for edges drawn either via LineCollection or + FancyArrowPatches.""" + G = nx.path_graph(2, create_using=graph_type) + pos = {n: (n, n) for n in range(len(G))} + drawn_edges = nx.draw_networkx_edges(G, pos) + if isinstance(drawn_edges, list): # directed case: list of FancyArrowPatch + drawn_edges = drawn_edges[0] + assert drawn_edges.get_linewidth() == 1 + + +@pytest.mark.parametrize( + ("edgewidth", "expected"), + ( + (3, 3), # single-value, non-default + ([3], 3), # Single value as a list + ), +) +def test_edge_width_single_value_undirected(edgewidth, expected): + G = nx.path_graph(4) + pos = {n: (n, n) for n in range(len(G))} + drawn_edges = nx.draw_networkx_edges(G, pos, width=edgewidth) + assert len(drawn_edges.get_paths()) == 3 + assert drawn_edges.get_linewidth() == expected + + +@pytest.mark.parametrize( + ("edgewidth", "expected"), + ( + (3, 3), # single-value, non-default + ([3], 3), # Single value as a list + ), +) +def test_edge_width_single_value_directed(edgewidth, expected): + G = nx.path_graph(4, create_using=nx.DiGraph) + pos = {n: (n, n) for n in range(len(G))} + drawn_edges = nx.draw_networkx_edges(G, pos, width=edgewidth) + assert len(drawn_edges) == 3 + for fap in drawn_edges: + assert fap.get_linewidth() == expected + + +@pytest.mark.parametrize( + "edgelist", + ( + [(0, 1), (1, 2), (2, 3)], # one width specification per edge + None, # fewer widths than edges - widths cycle + [(0, 1), (1, 2)], # More widths than edges - unused widths ignored + ), +) +def test_edge_width_sequence(edgelist): + G = barbell.to_directed() + pos = nx.random_layout(G) + widths = (0.5, 2.0, 12.0) + drawn_edges = nx.draw_networkx_edges(G, pos, edgelist=edgelist, width=widths) + for fap, expected_width in zip(drawn_edges, itertools.cycle(widths)): + assert fap.get_linewidth() == expected_width + + +def test_edge_color_with_edge_vmin_vmax(): + """Test that edge_vmin and edge_vmax properly set the dynamic range of the + color map when num edges == len(edge_colors).""" + G = nx.path_graph(3, create_using=nx.DiGraph) + pos = nx.random_layout(G) + # Extract colors from the original (unscaled) colormap + drawn_edges = nx.draw_networkx_edges(G, pos, edge_color=[0, 1.0]) + orig_colors = [e.get_edgecolor() for e in drawn_edges] + # Colors from scaled colormap + drawn_edges = nx.draw_networkx_edges( + G, pos, edge_color=[0.2, 0.8], edge_vmin=0.2, edge_vmax=0.8 + ) + scaled_colors = [e.get_edgecolor() for e in drawn_edges] + assert mpl.colors.same_color(orig_colors, scaled_colors) + + +def test_directed_edges_linestyle_default(): + """Test default linestyle for edges drawn with FancyArrowPatches.""" + G = nx.path_graph(4, create_using=nx.DiGraph) # Graph with 3 edges + pos = {n: (n, n) for n in range(len(G))} + + # edge with default style + drawn_edges = nx.draw_networkx_edges(G, pos) + assert len(drawn_edges) == 3 + for fap in drawn_edges: + assert fap.get_linestyle() == "solid" + + +@pytest.mark.parametrize( + "style", + ( + "dashed", # edge with string style + "--", # edge with simplified string style + (1, (1, 1)), # edge with (offset, onoffseq) style + ), +) +def test_directed_edges_linestyle_single_value(style): + """Tests support for specifying linestyles with a single value to be applied to + all edges in ``draw_networkx_edges`` for FancyArrowPatch outputs + (e.g. directed edges).""" + + G = nx.path_graph(4, create_using=nx.DiGraph) # Graph with 3 edges + pos = {n: (n, n) for n in range(len(G))} + + drawn_edges = nx.draw_networkx_edges(G, pos, style=style) + assert len(drawn_edges) == 3 + for fap in drawn_edges: + assert fap.get_linestyle() == style + + +@pytest.mark.parametrize( + "style_seq", + ( + ["dashed"], # edge with string style in list + ["--"], # edge with simplified string style in list + [(1, (1, 1))], # edge with (offset, onoffseq) style in list + ["--", "-", ":"], # edges with styles for each edge + ["--", "-"], # edges with fewer styles than edges (styles cycle) + ["--", "-", ":", "-."], # edges with more styles than edges (extra unused) + ), +) +def test_directed_edges_linestyle_sequence(style_seq): + """Tests support for specifying linestyles with sequences in + ``draw_networkx_edges`` for FancyArrowPatch outputs (e.g. directed edges).""" + + G = nx.path_graph(4, create_using=nx.DiGraph) # Graph with 3 edges + pos = {n: (n, n) for n in range(len(G))} + + drawn_edges = nx.draw_networkx_edges(G, pos, style=style_seq) + assert len(drawn_edges) == 3 + for fap, style in zip(drawn_edges, itertools.cycle(style_seq)): + assert fap.get_linestyle() == style + + +def test_return_types(): + from matplotlib.collections import LineCollection, PathCollection + from matplotlib.patches import FancyArrowPatch + + G = nx.cubical_graph(nx.Graph) + dG = nx.cubical_graph(nx.DiGraph) + pos = nx.spring_layout(G) + dpos = nx.spring_layout(dG) + # nodes + nodes = nx.draw_networkx_nodes(G, pos) + assert isinstance(nodes, PathCollection) + # edges + edges = nx.draw_networkx_edges(dG, dpos, arrows=True) + assert isinstance(edges, list) + if len(edges) > 0: + assert isinstance(edges[0], FancyArrowPatch) + edges = nx.draw_networkx_edges(dG, dpos, arrows=False) + assert isinstance(edges, LineCollection) + edges = nx.draw_networkx_edges(G, dpos, arrows=None) + assert isinstance(edges, LineCollection) + edges = nx.draw_networkx_edges(dG, pos, arrows=None) + assert isinstance(edges, list) + if len(edges) > 0: + assert isinstance(edges[0], FancyArrowPatch) + + +def test_labels_and_colors(): + G = nx.cubical_graph() + pos = nx.spring_layout(G) # positions for all nodes + # nodes + nx.draw_networkx_nodes( + G, pos, nodelist=[0, 1, 2, 3], node_color="r", node_size=500, alpha=0.75 + ) + nx.draw_networkx_nodes( + G, + pos, + nodelist=[4, 5, 6, 7], + node_color="b", + node_size=500, + alpha=[0.25, 0.5, 0.75, 1.0], + ) + # edges + nx.draw_networkx_edges(G, pos, width=1.0, alpha=0.5) + nx.draw_networkx_edges( + G, + pos, + edgelist=[(0, 1), (1, 2), (2, 3), (3, 0)], + width=8, + alpha=0.5, + edge_color="r", + ) + nx.draw_networkx_edges( + G, + pos, + edgelist=[(4, 5), (5, 6), (6, 7), (7, 4)], + width=8, + alpha=0.5, + edge_color="b", + ) + nx.draw_networkx_edges( + G, + pos, + edgelist=[(4, 5), (5, 6), (6, 7), (7, 4)], + arrows=True, + min_source_margin=0.5, + min_target_margin=0.75, + width=8, + edge_color="b", + ) + # some math labels + labels = {} + labels[0] = r"$a$" + labels[1] = r"$b$" + labels[2] = r"$c$" + labels[3] = r"$d$" + labels[4] = r"$\alpha$" + labels[5] = r"$\beta$" + labels[6] = r"$\gamma$" + labels[7] = r"$\delta$" + colors = {n: "k" if n % 2 == 0 else "r" for n in range(8)} + nx.draw_networkx_labels(G, pos, labels, font_size=16) + nx.draw_networkx_labels(G, pos, labels, font_size=16, font_color=colors) + nx.draw_networkx_edge_labels(G, pos, edge_labels=None, rotate=False) + nx.draw_networkx_edge_labels(G, pos, edge_labels={(4, 5): "4-5"}) + # plt.show() + + +@pytest.mark.mpl_image_compare +def test_house_with_colors(): + G = nx.house_graph() + # explicitly set positions + fig, ax = plt.subplots() + pos = {0: (0, 0), 1: (1, 0), 2: (0, 1), 3: (1, 1), 4: (0.5, 2.0)} + + # Plot nodes with different properties for the "wall" and "roof" nodes + nx.draw_networkx_nodes( + G, + pos, + node_size=3000, + nodelist=[0, 1, 2, 3], + node_color="tab:blue", + ) + nx.draw_networkx_nodes( + G, pos, node_size=2000, nodelist=[4], node_color="tab:orange" + ) + nx.draw_networkx_edges(G, pos, alpha=0.5, width=6) + # Customize axes + ax.margins(0.11) + plt.tight_layout() + plt.axis("off") + return fig + + +def test_axes(): + fig, ax = plt.subplots() + nx.draw(barbell, ax=ax) + nx.draw_networkx_edge_labels(barbell, nx.circular_layout(barbell), ax=ax) + + +def test_empty_graph(): + G = nx.Graph() + nx.draw(G) + + +def test_draw_empty_nodes_return_values(): + # See Issue #3833 + import matplotlib.collections # call as mpl.collections + + G = nx.Graph([(1, 2), (2, 3)]) + DG = nx.DiGraph([(1, 2), (2, 3)]) + pos = nx.circular_layout(G) + assert isinstance( + nx.draw_networkx_nodes(G, pos, nodelist=[]), mpl.collections.PathCollection + ) + assert isinstance( + nx.draw_networkx_nodes(DG, pos, nodelist=[]), mpl.collections.PathCollection + ) + + # drawing empty edges used to return an empty LineCollection or empty list. + # Now it is always an empty list (because edges are now lists of FancyArrows) + assert nx.draw_networkx_edges(G, pos, edgelist=[], arrows=True) == [] + assert nx.draw_networkx_edges(G, pos, edgelist=[], arrows=False) == [] + assert nx.draw_networkx_edges(DG, pos, edgelist=[], arrows=False) == [] + assert nx.draw_networkx_edges(DG, pos, edgelist=[], arrows=True) == [] + + +def test_multigraph_edgelist_tuples(): + # See Issue #3295 + G = nx.path_graph(3, create_using=nx.MultiDiGraph) + nx.draw_networkx(G, edgelist=[(0, 1, 0)]) + nx.draw_networkx(G, edgelist=[(0, 1, 0)], node_size=[10, 20, 0]) + + +def test_alpha_iter(): + pos = nx.random_layout(barbell) + fig = plt.figure() + # with fewer alpha elements than nodes + fig.add_subplot(131) # Each test in a new axis object + nx.draw_networkx_nodes(barbell, pos, alpha=[0.1, 0.2]) + # with equal alpha elements and nodes + num_nodes = len(barbell.nodes) + alpha = [x / num_nodes for x in range(num_nodes)] + colors = range(num_nodes) + fig.add_subplot(132) + nx.draw_networkx_nodes(barbell, pos, node_color=colors, alpha=alpha) + # with more alpha elements than nodes + alpha.append(1) + fig.add_subplot(133) + nx.draw_networkx_nodes(barbell, pos, alpha=alpha) + + +def test_multiple_node_shapes(): + G = nx.path_graph(4) + ax = plt.figure().add_subplot(111) + nx.draw(G, node_shape=["o", "h", "s", "^"], ax=ax) + scatters = [ + s for s in ax.get_children() if isinstance(s, mpl.collections.PathCollection) + ] + assert len(scatters) == 4 + + +def test_individualized_font_attributes(): + G = nx.karate_club_graph() + ax = plt.figure().add_subplot(111) + nx.draw( + G, + ax=ax, + font_color={n: "k" if n % 2 else "r" for n in G.nodes()}, + font_size={n: int(n / (34 / 15) + 5) for n in G.nodes()}, + ) + for n, t in zip( + G.nodes(), + [ + t + for t in ax.get_children() + if isinstance(t, mpl.text.Text) and len(t.get_text()) > 0 + ], + ): + expected = "black" if n % 2 else "red" + + assert mpl.colors.same_color(t.get_color(), expected) + assert int(n / (34 / 15) + 5) == t.get_size() + + +def test_individualized_edge_attributes(): + G = nx.karate_club_graph() + ax = plt.figure().add_subplot(111) + arrowstyles = ["-|>" if (u + v) % 2 == 0 else "-[" for u, v in G.edges()] + arrowsizes = [10 * (u % 2 + v % 2) + 10 for u, v in G.edges()] + nx.draw(G, ax=ax, arrows=True, arrowstyle=arrowstyles, arrowsize=arrowsizes) + arrows = [ + f for f in ax.get_children() if isinstance(f, mpl.patches.FancyArrowPatch) + ] + for e, a in zip(G.edges(), arrows): + assert a.get_mutation_scale() == 10 * (e[0] % 2 + e[1] % 2) + 10 + expected = ( + mpl.patches.ArrowStyle.BracketB + if sum(e) % 2 + else mpl.patches.ArrowStyle.CurveFilledB + ) + assert isinstance(a.get_arrowstyle(), expected) + + +def test_error_invalid_kwds(): + with pytest.raises(ValueError, match="Received invalid argument"): + nx.draw(barbell, foo="bar") + + +def test_draw_networkx_arrowsize_incorrect_size(): + G = nx.DiGraph([(0, 1), (0, 2), (0, 3), (1, 3)]) + arrowsize = [1, 2, 3] + with pytest.raises( + ValueError, match="arrowsize should have the same length as edgelist" + ): + nx.draw(G, arrowsize=arrowsize) + + +@pytest.mark.parametrize("arrowsize", (30, [10, 20, 30])) +def test_draw_edges_arrowsize(arrowsize): + G = nx.DiGraph([(0, 1), (0, 2), (1, 2)]) + pos = {0: (0, 0), 1: (0, 1), 2: (1, 0)} + edges = nx.draw_networkx_edges(G, pos=pos, arrowsize=arrowsize) + + arrowsize = itertools.repeat(arrowsize) if isinstance(arrowsize, int) else arrowsize + + for fap, expected in zip(edges, arrowsize): + assert isinstance(fap, mpl.patches.FancyArrowPatch) + assert fap.get_mutation_scale() == expected + + +@pytest.mark.parametrize("arrowstyle", ("-|>", ["-|>", "-[", "<|-|>"])) +def test_draw_edges_arrowstyle(arrowstyle): + G = nx.DiGraph([(0, 1), (0, 2), (1, 2)]) + pos = {0: (0, 0), 1: (0, 1), 2: (1, 0)} + edges = nx.draw_networkx_edges(G, pos=pos, arrowstyle=arrowstyle) + + arrowstyle = ( + itertools.repeat(arrowstyle) if isinstance(arrowstyle, str) else arrowstyle + ) + + arrow_objects = { + "-|>": mpl.patches.ArrowStyle.CurveFilledB, + "-[": mpl.patches.ArrowStyle.BracketB, + "<|-|>": mpl.patches.ArrowStyle.CurveFilledAB, + } + + for fap, expected in zip(edges, arrowstyle): + assert isinstance(fap, mpl.patches.FancyArrowPatch) + assert isinstance(fap.get_arrowstyle(), arrow_objects[expected]) + + +def test_np_edgelist(): + # see issue #4129 + nx.draw_networkx(barbell, edgelist=np.array([(0, 2), (0, 3)])) + + +def test_draw_nodes_missing_node_from_position(): + G = nx.path_graph(3) + pos = {0: (0, 0), 1: (1, 1)} # No position for node 2 + with pytest.raises(nx.NetworkXError, match="has no position"): + nx.draw_networkx_nodes(G, pos) + + +# NOTE: parametrizing on marker to test both branches of internal +# nx.draw_networkx_edges.to_marker_edge function +@pytest.mark.parametrize("node_shape", ("o", "s")) +def test_draw_edges_min_source_target_margins(node_shape): + """Test that there is a wider gap between the node and the start of an + incident edge when min_source_margin is specified. + + This test checks that the use of min_{source/target}_margin kwargs result + in shorter (more padding) between the edges and source and target nodes. + As a crude visual example, let 's' and 't' represent source and target + nodes, respectively: + + Default: + s-----------------------------t + + With margins: + s ----------------------- t + + """ + # Create a single axis object to get consistent pixel coords across + # multiple draws + fig, ax = plt.subplots() + G = nx.DiGraph([(0, 1)]) + pos = {0: (0, 0), 1: (1, 0)} # horizontal layout + # Get leftmost and rightmost points of the FancyArrowPatch object + # representing the edge between nodes 0 and 1 (in pixel coordinates) + default_patch = nx.draw_networkx_edges(G, pos, ax=ax, node_shape=node_shape)[0] + default_extent = default_patch.get_extents().corners()[::2, 0] + # Now, do the same but with "padding" for the source and target via the + # min_{source/target}_margin kwargs + padded_patch = nx.draw_networkx_edges( + G, + pos, + ax=ax, + node_shape=node_shape, + min_source_margin=100, + min_target_margin=100, + )[0] + padded_extent = padded_patch.get_extents().corners()[::2, 0] + + # With padding, the left-most extent of the edge should be further to the + # right + assert padded_extent[0] > default_extent[0] + # And the rightmost extent of the edge, further to the left + assert padded_extent[1] < default_extent[1] + + +# NOTE: parametrizing on marker to test both branches of internal +# nx.draw_networkx_edges.to_marker_edge function +@pytest.mark.parametrize("node_shape", ("o", "s")) +def test_draw_edges_min_source_target_margins_individual(node_shape): + """Test that there is a wider gap between the node and the start of an + incident edge when min_source_margin is specified. + + This test checks that the use of min_{source/target}_margin kwargs result + in shorter (more padding) between the edges and source and target nodes. + As a crude visual example, let 's' and 't' represent source and target + nodes, respectively: + + Default: + s-----------------------------t + + With margins: + s ----------------------- t + + """ + # Create a single axis object to get consistent pixel coords across + # multiple draws + fig, ax = plt.subplots() + G = nx.DiGraph([(0, 1), (1, 2)]) + pos = {0: (0, 0), 1: (1, 0), 2: (2, 0)} # horizontal layout + # Get leftmost and rightmost points of the FancyArrowPatch object + # representing the edge between nodes 0 and 1 (in pixel coordinates) + default_patch = nx.draw_networkx_edges(G, pos, ax=ax, node_shape=node_shape) + default_extent = [d.get_extents().corners()[::2, 0] for d in default_patch] + # Now, do the same but with "padding" for the source and target via the + # min_{source/target}_margin kwargs + padded_patch = nx.draw_networkx_edges( + G, + pos, + ax=ax, + node_shape=node_shape, + min_source_margin=[98, 102], + min_target_margin=[98, 102], + ) + padded_extent = [p.get_extents().corners()[::2, 0] for p in padded_patch] + for d, p in zip(default_extent, padded_extent): + print(f"{p=}, {d=}") + # With padding, the left-most extent of the edge should be further to the + # right + assert p[0] > d[0] + # And the rightmost extent of the edge, further to the left + assert p[1] < d[1] + + +def test_nonzero_selfloop_with_single_node(): + """Ensure that selfloop extent is non-zero when there is only one node.""" + # Create explicit axis object for test + fig, ax = plt.subplots() + # Graph with single node + self loop + G = nx.DiGraph() + G.add_node(0) + G.add_edge(0, 0) + # Draw + patch = nx.draw_networkx_edges(G, {0: (0, 0)})[0] + # The resulting patch must have non-zero extent + bbox = patch.get_extents() + assert bbox.width > 0 and bbox.height > 0 + # Cleanup + plt.delaxes(ax) + plt.close() + + +def test_nonzero_selfloop_with_single_edge_in_edgelist(): + """Ensure that selfloop extent is non-zero when only a single edge is + specified in the edgelist. + """ + # Create explicit axis object for test + fig, ax = plt.subplots() + # Graph with selfloop + G = nx.path_graph(2, create_using=nx.DiGraph) + G.add_edge(1, 1) + pos = {n: (n, n) for n in G.nodes} + # Draw only the selfloop edge via the `edgelist` kwarg + patch = nx.draw_networkx_edges(G, pos, edgelist=[(1, 1)])[0] + # The resulting patch must have non-zero extent + bbox = patch.get_extents() + assert bbox.width > 0 and bbox.height > 0 + # Cleanup + plt.delaxes(ax) + plt.close() + + +def test_apply_alpha(): + """Test apply_alpha when there is a mismatch between the number of + supplied colors and elements. + """ + nodelist = [0, 1, 2] + colorlist = ["r", "g", "b"] + alpha = 0.5 + rgba_colors = nx.drawing.nx_pylab.apply_alpha(colorlist, alpha, nodelist) + assert all(rgba_colors[:, -1] == alpha) + + +def test_draw_edges_toggling_with_arrows_kwarg(): + """ + The `arrows` keyword argument is used as a 3-way switch to select which + type of object to use for drawing edges: + - ``arrows=None`` -> default (FancyArrowPatches for directed, else LineCollection) + - ``arrows=True`` -> FancyArrowPatches + - ``arrows=False`` -> LineCollection + """ + import matplotlib.collections + import matplotlib.patches + + UG = nx.path_graph(3) + DG = nx.path_graph(3, create_using=nx.DiGraph) + pos = {n: (n, n) for n in UG} + + # Use FancyArrowPatches when arrows=True, regardless of graph type + for G in (UG, DG): + edges = nx.draw_networkx_edges(G, pos, arrows=True) + assert len(edges) == len(G.edges) + assert isinstance(edges[0], mpl.patches.FancyArrowPatch) + + # Use LineCollection when arrows=False, regardless of graph type + for G in (UG, DG): + edges = nx.draw_networkx_edges(G, pos, arrows=False) + assert isinstance(edges, mpl.collections.LineCollection) + + # Default behavior when arrows=None: FAPs for directed, LC's for undirected + edges = nx.draw_networkx_edges(UG, pos) + assert isinstance(edges, mpl.collections.LineCollection) + edges = nx.draw_networkx_edges(DG, pos) + assert len(edges) == len(G.edges) + assert isinstance(edges[0], mpl.patches.FancyArrowPatch) + + +@pytest.mark.parametrize("drawing_func", (nx.draw, nx.draw_networkx)) +def test_draw_networkx_arrows_default_undirected(drawing_func): + import matplotlib.collections + + G = nx.path_graph(3) + fig, ax = plt.subplots() + drawing_func(G, ax=ax) + assert any(isinstance(c, mpl.collections.LineCollection) for c in ax.collections) + assert not ax.patches + plt.delaxes(ax) + plt.close() + + +@pytest.mark.parametrize("drawing_func", (nx.draw, nx.draw_networkx)) +def test_draw_networkx_arrows_default_directed(drawing_func): + import matplotlib.collections + + G = nx.path_graph(3, create_using=nx.DiGraph) + fig, ax = plt.subplots() + drawing_func(G, ax=ax) + assert not any( + isinstance(c, mpl.collections.LineCollection) for c in ax.collections + ) + assert ax.patches + plt.delaxes(ax) + plt.close() + + +def test_edgelist_kwarg_not_ignored(): + # See gh-4994 + G = nx.path_graph(3) + G.add_edge(0, 0) + fig, ax = plt.subplots() + nx.draw(G, edgelist=[(0, 1), (1, 2)], ax=ax) # Exclude self-loop from edgelist + assert not ax.patches + plt.delaxes(ax) + plt.close() + + +@pytest.mark.parametrize( + ("G", "expected_n_edges"), + ([nx.DiGraph(), 2], [nx.MultiGraph(), 4], [nx.MultiDiGraph(), 4]), +) +def test_draw_networkx_edges_multiedge_connectionstyle(G, expected_n_edges): + """Draws edges correctly for 3 types of graphs and checks for valid length""" + for i, (u, v) in enumerate([(0, 1), (0, 1), (0, 1), (0, 2)]): + G.add_edge(u, v, weight=round(i / 3, 2)) + pos = {n: (n, n) for n in G} + # Raises on insufficient connectionstyle length + for conn_style in [ + "arc3,rad=0.1", + ["arc3,rad=0.1", "arc3,rad=0.1"], + ["arc3,rad=0.1", "arc3,rad=0.1", "arc3,rad=0.2"], + ]: + nx.draw_networkx_edges(G, pos, connectionstyle=conn_style) + arrows = nx.draw_networkx_edges(G, pos, connectionstyle=conn_style) + assert len(arrows) == expected_n_edges + + +@pytest.mark.parametrize( + ("G", "expected_n_edges"), + ([nx.DiGraph(), 2], [nx.MultiGraph(), 4], [nx.MultiDiGraph(), 4]), +) +def test_draw_networkx_edge_labels_multiedge_connectionstyle(G, expected_n_edges): + """Draws labels correctly for 3 types of graphs and checks for valid length and class names""" + for i, (u, v) in enumerate([(0, 1), (0, 1), (0, 1), (0, 2)]): + G.add_edge(u, v, weight=round(i / 3, 2)) + pos = {n: (n, n) for n in G} + # Raises on insufficient connectionstyle length + arrows = nx.draw_networkx_edges( + G, pos, connectionstyle=["arc3,rad=0.1", "arc3,rad=0.1", "arc3,rad=0.1"] + ) + for conn_style in [ + "arc3,rad=0.1", + ["arc3,rad=0.1", "arc3,rad=0.2"], + ["arc3,rad=0.1", "arc3,rad=0.1", "arc3,rad=0.1"], + ]: + text_items = nx.draw_networkx_edge_labels(G, pos, connectionstyle=conn_style) + assert len(text_items) == expected_n_edges + for ti in text_items.values(): + assert ti.__class__.__name__ == "CurvedArrowText" + + +def test_draw_networkx_edge_label_multiedge(): + G = nx.MultiGraph() + G.add_edge(0, 1, weight=10) + G.add_edge(0, 1, weight=20) + edge_labels = nx.get_edge_attributes(G, "weight") # Includes edge keys + pos = {n: (n, n) for n in G} + text_items = nx.draw_networkx_edge_labels( + G, + pos, + edge_labels=edge_labels, + connectionstyle=["arc3,rad=0.1", "arc3,rad=0.2"], + ) + assert len(text_items) == 2 + + +def test_draw_networkx_edge_label_empty_dict(): + """Regression test for draw_networkx_edge_labels with empty dict. See + gh-5372.""" + G = nx.path_graph(3) + pos = {n: (n, n) for n in G.nodes} + assert nx.draw_networkx_edge_labels(G, pos, edge_labels={}) == {} + + +def test_draw_networkx_edges_undirected_selfloop_colors(): + """When an edgelist is supplied along with a sequence of colors, check that + the self-loops have the correct colors.""" + fig, ax = plt.subplots() + # Edge list and corresponding colors + edgelist = [(1, 3), (1, 2), (2, 3), (1, 1), (3, 3), (2, 2)] + edge_colors = ["pink", "cyan", "black", "red", "blue", "green"] + + G = nx.Graph(edgelist) + pos = {n: (n, n) for n in G.nodes} + nx.draw_networkx_edges(G, pos, ax=ax, edgelist=edgelist, edge_color=edge_colors) + + # Verify that there are three fancy arrow patches (1 per self loop) + assert len(ax.patches) == 3 + + # These are points that should be contained in the self loops. For example, + # sl_points[0] will be (1, 1.1), which is inside the "path" of the first + # self-loop but outside the others + sl_points = np.array(edgelist[-3:]) + np.array([0, 0.1]) + + # Check that the mapping between self-loop locations and their colors is + # correct + for fap, clr, slp in zip(ax.patches, edge_colors[-3:], sl_points): + assert fap.get_path().contains_point(slp) + assert mpl.colors.same_color(fap.get_edgecolor(), clr) + plt.delaxes(ax) + plt.close() + + +@pytest.mark.parametrize( + "fap_only_kwarg", # Non-default values for kwargs that only apply to FAPs + ( + {"arrowstyle": "-"}, + {"arrowsize": 20}, + {"connectionstyle": "arc3,rad=0.2"}, + {"min_source_margin": 10}, + {"min_target_margin": 10}, + ), +) +def test_user_warnings_for_unused_edge_drawing_kwargs(fap_only_kwarg): + """Users should get a warning when they specify a non-default value for + one of the kwargs that applies only to edges drawn with FancyArrowPatches, + but FancyArrowPatches aren't being used under the hood.""" + G = nx.path_graph(3) + pos = {n: (n, n) for n in G} + fig, ax = plt.subplots() + # By default, an undirected graph will use LineCollection to represent + # the edges + kwarg_name = list(fap_only_kwarg.keys())[0] + with pytest.warns( + UserWarning, match=f"\n\nThe {kwarg_name} keyword argument is not applicable" + ): + nx.draw_networkx_edges(G, pos, ax=ax, **fap_only_kwarg) + # FancyArrowPatches are always used when `arrows=True` is specified. + # Check that warnings are *not* raised in this case + with warnings.catch_warnings(): + # Escalate warnings -> errors so tests fail if warnings are raised + warnings.simplefilter("error") + nx.draw_networkx_edges(G, pos, ax=ax, arrows=True, **fap_only_kwarg) + + plt.delaxes(ax) + plt.close() + + +@pytest.mark.parametrize("draw_fn", (nx.draw, nx.draw_circular)) +def test_no_warning_on_default_draw_arrowstyle(draw_fn): + # See gh-7284 + fig, ax = plt.subplots() + G = nx.cycle_graph(5) + with warnings.catch_warnings(record=True) as w: + draw_fn(G, ax=ax) + assert len(w) == 0 + + plt.delaxes(ax) + plt.close() + + +@pytest.mark.parametrize("hide_ticks", [False, True]) +@pytest.mark.parametrize( + "method", + [ + nx.draw_networkx, + nx.draw_networkx_edge_labels, + nx.draw_networkx_edges, + nx.draw_networkx_labels, + nx.draw_networkx_nodes, + ], +) +def test_hide_ticks(method, hide_ticks): + G = nx.path_graph(3) + pos = {n: (n, n) for n in G.nodes} + _, ax = plt.subplots() + method(G, pos=pos, ax=ax, hide_ticks=hide_ticks) + for axis in [ax.xaxis, ax.yaxis]: + assert bool(axis.get_ticklabels()) != hide_ticks + + plt.delaxes(ax) + plt.close() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..6ec027c2405b6f9de2e7b6a0f7c18d782ac8761c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/__init__.py @@ -0,0 +1,34 @@ +""" +A package for generating various graphs in networkx. + +""" + +from networkx.generators.atlas import * +from networkx.generators.classic import * +from networkx.generators.cographs import * +from networkx.generators.community import * +from networkx.generators.degree_seq import * +from networkx.generators.directed import * +from networkx.generators.duplication import * +from networkx.generators.ego import * +from networkx.generators.expanders import * +from networkx.generators.geometric import * +from networkx.generators.harary_graph import * +from networkx.generators.internet_as_graphs import * +from networkx.generators.intersection import * +from networkx.generators.interval_graph import * +from networkx.generators.joint_degree_seq import * +from networkx.generators.lattice import * +from networkx.generators.line import * +from networkx.generators.mycielski import * +from networkx.generators.nonisomorphic_trees import * +from networkx.generators.random_clustered import * +from networkx.generators.random_graphs import * +from networkx.generators.small import * +from networkx.generators.social import * +from networkx.generators.spectral_graph_forge import * +from networkx.generators.stochastic import * +from networkx.generators.sudoku import * +from networkx.generators.time_series import * +from networkx.generators.trees import * +from networkx.generators.triads import * diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/atlas.dat.gz b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/atlas.dat.gz new file mode 100644 index 0000000000000000000000000000000000000000..2cb5d1308c1168df6218cee0a97552c5787a29b8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/atlas.dat.gz @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:73fc416df0164923607751cb759f4ae81deb5f6550bf25be59c86de3b747e41d +size 8887 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/atlas.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/atlas.py new file mode 100644 index 0000000000000000000000000000000000000000..c5dd8d2d8fee8cf7b49525fb05bbda14ab75305e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/atlas.py @@ -0,0 +1,180 @@ +""" +Generators for the small graph atlas. +""" + +import gzip +import importlib.resources +import os +import os.path +from itertools import islice + +import networkx as nx + +__all__ = ["graph_atlas", "graph_atlas_g"] + +#: The total number of graphs in the atlas. +#: +#: The graphs are labeled starting from 0 and extending to (but not +#: including) this number. +NUM_GRAPHS = 1253 + +#: The path to the data file containing the graph edge lists. +#: +#: This is the absolute path of the gzipped text file containing the +#: edge list for each graph in the atlas. The file contains one entry +#: per graph in the atlas, in sequential order, starting from graph +#: number 0 and extending through graph number 1252 (see +#: :data:`NUM_GRAPHS`). Each entry looks like +#: +#: .. sourcecode:: text +#: +#: GRAPH 6 +#: NODES 3 +#: 0 1 +#: 0 2 +#: +#: where the first two lines are the graph's index in the atlas and the +#: number of nodes in the graph, and the remaining lines are the edge +#: list. +#: +#: This file was generated from a Python list of graphs via code like +#: the following:: +#: +#: import gzip +#: from networkx.generators.atlas import graph_atlas_g +#: from networkx.readwrite.edgelist import write_edgelist +#: +#: with gzip.open('atlas.dat.gz', 'wb') as f: +#: for i, G in enumerate(graph_atlas_g()): +#: f.write(bytes(f'GRAPH {i}\n', encoding='utf-8')) +#: f.write(bytes(f'NODES {len(G)}\n', encoding='utf-8')) +#: write_edgelist(G, f, data=False) +#: + +# Path to the atlas file +ATLAS_FILE = importlib.resources.files("networkx.generators") / "atlas.dat.gz" + + +def _generate_graphs(): + """Sequentially read the file containing the edge list data for the + graphs in the atlas and generate the graphs one at a time. + + This function reads the file given in :data:`.ATLAS_FILE`. + + """ + with gzip.open(ATLAS_FILE, "rb") as f: + line = f.readline() + while line and line.startswith(b"GRAPH"): + # The first two lines of each entry tell us the index of the + # graph in the list and the number of nodes in the graph. + # They look like this: + # + # GRAPH 3 + # NODES 2 + # + graph_index = int(line[6:].rstrip()) + line = f.readline() + num_nodes = int(line[6:].rstrip()) + # The remaining lines contain the edge list, until the next + # GRAPH line (or until the end of the file). + edgelist = [] + line = f.readline() + while line and not line.startswith(b"GRAPH"): + edgelist.append(line.rstrip()) + line = f.readline() + G = nx.Graph() + G.name = f"G{graph_index}" + G.add_nodes_from(range(num_nodes)) + G.add_edges_from(tuple(map(int, e.split())) for e in edgelist) + yield G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def graph_atlas(i): + """Returns graph number `i` from the Graph Atlas. + + For more information, see :func:`.graph_atlas_g`. + + Parameters + ---------- + i : int + The index of the graph from the atlas to get. The graph at index + 0 is assumed to be the null graph. + + Returns + ------- + list + A list of :class:`~networkx.Graph` objects, the one at index *i* + corresponding to the graph *i* in the Graph Atlas. + + See also + -------- + graph_atlas_g + + Notes + ----- + The time required by this function increases linearly with the + argument `i`, since it reads a large file sequentially in order to + generate the graph [1]_. + + References + ---------- + .. [1] Ronald C. Read and Robin J. Wilson, *An Atlas of Graphs*. + Oxford University Press, 1998. + + """ + if not (0 <= i < NUM_GRAPHS): + raise ValueError(f"index must be between 0 and {NUM_GRAPHS}") + return next(islice(_generate_graphs(), i, None)) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def graph_atlas_g(): + """Returns the list of all graphs with up to seven nodes named in the + Graph Atlas. + + The graphs are listed in increasing order by + + 1. number of nodes, + 2. number of edges, + 3. degree sequence (for example 111223 < 112222), + 4. number of automorphisms, + + in that order, with three exceptions as described in the *Notes* + section below. This causes the list to correspond with the index of + the graphs in the Graph Atlas [atlas]_, with the first graph, + ``G[0]``, being the null graph. + + Returns + ------- + list + A list of :class:`~networkx.Graph` objects, the one at index *i* + corresponding to the graph *i* in the Graph Atlas. + + See also + -------- + graph_atlas + + Notes + ----- + This function may be expensive in both time and space, since it + reads a large file sequentially in order to populate the list. + + Although the NetworkX atlas functions match the order of graphs + given in the "Atlas of Graphs" book, there are (at least) three + errors in the ordering described in the book. The following three + pairs of nodes violate the lexicographically nondecreasing sorted + degree sequence rule: + + - graphs 55 and 56 with degree sequences 001111 and 000112, + - graphs 1007 and 1008 with degree sequences 3333444 and 3333336, + - graphs 1012 and 1213 with degree sequences 1244555 and 1244456. + + References + ---------- + .. [atlas] Ronald C. Read and Robin J. Wilson, + *An Atlas of Graphs*. + Oxford University Press, 1998. + + """ + return list(_generate_graphs()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/classic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/classic.py new file mode 100644 index 0000000000000000000000000000000000000000..a461e7bd23cd79000b834d3362ea3ca8cde93fb2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/classic.py @@ -0,0 +1,1068 @@ +"""Generators for some classic graphs. + +The typical graph builder function is called as follows: + +>>> G = nx.complete_graph(100) + +returning the complete graph on n nodes labeled 0, .., 99 +as a simple graph. Except for `empty_graph`, all the functions +in this module return a Graph class (i.e. a simple, undirected graph). + +""" + +import itertools +import numbers + +import networkx as nx +from networkx.classes import Graph +from networkx.exception import NetworkXError +from networkx.utils import nodes_or_number, pairwise + +__all__ = [ + "balanced_tree", + "barbell_graph", + "binomial_tree", + "complete_graph", + "complete_multipartite_graph", + "circular_ladder_graph", + "circulant_graph", + "cycle_graph", + "dorogovtsev_goltsev_mendes_graph", + "empty_graph", + "full_rary_tree", + "kneser_graph", + "ladder_graph", + "lollipop_graph", + "null_graph", + "path_graph", + "star_graph", + "tadpole_graph", + "trivial_graph", + "turan_graph", + "wheel_graph", +] + + +# ------------------------------------------------------------------- +# Some Classic Graphs +# ------------------------------------------------------------------- + + +def _tree_edges(n, r): + if n == 0: + return + # helper function for trees + # yields edges in rooted tree at 0 with n nodes and branching ratio r + nodes = iter(range(n)) + parents = [next(nodes)] # stack of max length r + while parents: + source = parents.pop(0) + for i in range(r): + try: + target = next(nodes) + parents.append(target) + yield source, target + except StopIteration: + break + + +@nx._dispatchable(graphs=None, returns_graph=True) +def full_rary_tree(r, n, create_using=None): + """Creates a full r-ary tree of `n` nodes. + + Sometimes called a k-ary, n-ary, or m-ary tree. + "... all non-leaf nodes have exactly r children and all levels + are full except for some rightmost position of the bottom level + (if a leaf at the bottom level is missing, then so are all of the + leaves to its right." [1]_ + + .. plot:: + + >>> nx.draw(nx.full_rary_tree(2, 10)) + + Parameters + ---------- + r : int + branching factor of the tree + n : int + Number of nodes in the tree + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + An r-ary tree with n nodes + + References + ---------- + .. [1] An introduction to data structures and algorithms, + James Andrew Storer, Birkhauser Boston 2001, (page 225). + """ + G = empty_graph(n, create_using) + G.add_edges_from(_tree_edges(n, r)) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def kneser_graph(n, k): + """Returns the Kneser Graph with parameters `n` and `k`. + + The Kneser Graph has nodes that are k-tuples (subsets) of the integers + between 0 and ``n-1``. Nodes are adjacent if their corresponding sets are disjoint. + + Parameters + ---------- + n: int + Number of integers from which to make node subsets. + Subsets are drawn from ``set(range(n))``. + k: int + Size of the subsets. + + Returns + ------- + G : NetworkX Graph + + Examples + -------- + >>> G = nx.kneser_graph(5, 2) + >>> G.number_of_nodes() + 10 + >>> G.number_of_edges() + 15 + >>> nx.is_isomorphic(G, nx.petersen_graph()) + True + """ + if n <= 0: + raise NetworkXError("n should be greater than zero") + if k <= 0 or k > n: + raise NetworkXError("k should be greater than zero and smaller than n") + + G = nx.Graph() + # Create all k-subsets of [0, 1, ..., n-1] + subsets = list(itertools.combinations(range(n), k)) + + if 2 * k > n: + G.add_nodes_from(subsets) + + universe = set(range(n)) + comb = itertools.combinations # only to make it all fit on one line + G.add_edges_from((s, t) for s in subsets for t in comb(universe - set(s), k)) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def balanced_tree(r, h, create_using=None): + """Returns the perfectly balanced `r`-ary tree of height `h`. + + .. plot:: + + >>> nx.draw(nx.balanced_tree(2, 3)) + + Parameters + ---------- + r : int + Branching factor of the tree; each node will have `r` + children. + + h : int + Height of the tree. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : NetworkX graph + A balanced `r`-ary tree of height `h`. + + Notes + ----- + This is the rooted tree where all leaves are at distance `h` from + the root. The root has degree `r` and all other internal nodes + have degree `r + 1`. + + Node labels are integers, starting from zero. + + A balanced tree is also known as a *complete r-ary tree*. + + """ + # The number of nodes in the balanced tree is `1 + r + ... + r^h`, + # which is computed by using the closed-form formula for a geometric + # sum with ratio `r`. In the special case that `r` is 1, the number + # of nodes is simply `h + 1` (since the tree is actually a path + # graph). + if r == 1: + n = h + 1 + else: + # This must be an integer if both `r` and `h` are integers. If + # they are not, we force integer division anyway. + n = (1 - r ** (h + 1)) // (1 - r) + return full_rary_tree(r, n, create_using=create_using) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def barbell_graph(m1, m2, create_using=None): + """Returns the Barbell Graph: two complete graphs connected by a path. + + .. plot:: + + >>> nx.draw(nx.barbell_graph(4, 2)) + + Parameters + ---------- + m1 : int + Size of the left and right barbells, must be greater than 2. + + m2 : int + Length of the path connecting the barbells. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Only undirected Graphs are supported. + + Returns + ------- + G : NetworkX graph + A barbell graph. + + Notes + ----- + + + Two identical complete graphs $K_{m1}$ form the left and right bells, + and are connected by a path $P_{m2}$. + + The `2*m1+m2` nodes are numbered + `0, ..., m1-1` for the left barbell, + `m1, ..., m1+m2-1` for the path, + and `m1+m2, ..., 2*m1+m2-1` for the right barbell. + + The 3 subgraphs are joined via the edges `(m1-1, m1)` and + `(m1+m2-1, m1+m2)`. If `m2=0`, this is merely two complete + graphs joined together. + + This graph is an extremal example in David Aldous + and Jim Fill's e-text on Random Walks on Graphs. + + """ + if m1 < 2: + raise NetworkXError("Invalid graph description, m1 should be >=2") + if m2 < 0: + raise NetworkXError("Invalid graph description, m2 should be >=0") + + # left barbell + G = complete_graph(m1, create_using) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + + # connecting path + G.add_nodes_from(range(m1, m1 + m2 - 1)) + if m2 > 1: + G.add_edges_from(pairwise(range(m1, m1 + m2))) + + # right barbell + G.add_edges_from( + (u, v) for u in range(m1 + m2, 2 * m1 + m2) for v in range(u + 1, 2 * m1 + m2) + ) + + # connect it up + G.add_edge(m1 - 1, m1) + if m2 > 0: + G.add_edge(m1 + m2 - 1, m1 + m2) + + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def binomial_tree(n, create_using=None): + """Returns the Binomial Tree of order n. + + The binomial tree of order 0 consists of a single node. A binomial tree of order k + is defined recursively by linking two binomial trees of order k-1: the root of one is + the leftmost child of the root of the other. + + .. plot:: + + >>> nx.draw(nx.binomial_tree(3)) + + Parameters + ---------- + n : int + Order of the binomial tree. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : NetworkX graph + A binomial tree of $2^n$ nodes and $2^n - 1$ edges. + + """ + G = nx.empty_graph(1, create_using) + + N = 1 + for i in range(n): + # Use G.edges() to ensure 2-tuples. G.edges is 3-tuple for MultiGraph + edges = [(u + N, v + N) for (u, v) in G.edges()] + G.add_edges_from(edges) + G.add_edge(0, N) + N *= 2 + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number(0) +def complete_graph(n, create_using=None): + """Return the complete graph `K_n` with n nodes. + + A complete graph on `n` nodes means that all pairs + of distinct nodes have an edge connecting them. + + .. plot:: + + >>> nx.draw(nx.complete_graph(5)) + + Parameters + ---------- + n : int or iterable container of nodes + If n is an integer, nodes are from range(n). + If n is a container of nodes, those nodes appear in the graph. + Warning: n is not checked for duplicates and if present the + resulting graph may not be as desired. Make sure you have no duplicates. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Examples + -------- + >>> G = nx.complete_graph(9) + >>> len(G) + 9 + >>> G.size() + 36 + >>> G = nx.complete_graph(range(11, 14)) + >>> list(G.nodes()) + [11, 12, 13] + >>> G = nx.complete_graph(4, nx.DiGraph()) + >>> G.is_directed() + True + + """ + _, nodes = n + G = empty_graph(nodes, create_using) + if len(nodes) > 1: + if G.is_directed(): + edges = itertools.permutations(nodes, 2) + else: + edges = itertools.combinations(nodes, 2) + G.add_edges_from(edges) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def circular_ladder_graph(n, create_using=None): + """Returns the circular ladder graph $CL_n$ of length n. + + $CL_n$ consists of two concentric n-cycles in which + each of the n pairs of concentric nodes are joined by an edge. + + Node labels are the integers 0 to n-1 + + .. plot:: + + >>> nx.draw(nx.circular_ladder_graph(5)) + + """ + G = ladder_graph(n, create_using) + G.add_edge(0, n - 1) + G.add_edge(n, 2 * n - 1) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def circulant_graph(n, offsets, create_using=None): + r"""Returns the circulant graph $Ci_n(x_1, x_2, ..., x_m)$ with $n$ nodes. + + The circulant graph $Ci_n(x_1, ..., x_m)$ consists of $n$ nodes $0, ..., n-1$ + such that node $i$ is connected to nodes $(i + x) \mod n$ and $(i - x) \mod n$ + for all $x$ in $x_1, ..., x_m$. Thus $Ci_n(1)$ is a cycle graph. + + .. plot:: + + >>> nx.draw(nx.circulant_graph(10, [1])) + + Parameters + ---------- + n : integer + The number of nodes in the graph. + offsets : list of integers + A list of node offsets, $x_1$ up to $x_m$, as described above. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + NetworkX Graph of type create_using + + Examples + -------- + Many well-known graph families are subfamilies of the circulant graphs; + for example, to create the cycle graph on n points, we connect every + node to nodes on either side (with offset plus or minus one). For n = 10, + + >>> G = nx.circulant_graph(10, [1]) + >>> edges = [ + ... (0, 9), + ... (0, 1), + ... (1, 2), + ... (2, 3), + ... (3, 4), + ... (4, 5), + ... (5, 6), + ... (6, 7), + ... (7, 8), + ... (8, 9), + ... ] + >>> sorted(edges) == sorted(G.edges()) + True + + Similarly, we can create the complete graph + on 5 points with the set of offsets [1, 2]: + + >>> G = nx.circulant_graph(5, [1, 2]) + >>> edges = [ + ... (0, 1), + ... (0, 2), + ... (0, 3), + ... (0, 4), + ... (1, 2), + ... (1, 3), + ... (1, 4), + ... (2, 3), + ... (2, 4), + ... (3, 4), + ... ] + >>> sorted(edges) == sorted(G.edges()) + True + + """ + G = empty_graph(n, create_using) + for i in range(n): + for j in offsets: + G.add_edge(i, (i - j) % n) + G.add_edge(i, (i + j) % n) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number(0) +def cycle_graph(n, create_using=None): + """Returns the cycle graph $C_n$ of cyclically connected nodes. + + $C_n$ is a path with its two end-nodes connected. + + .. plot:: + + >>> nx.draw(nx.cycle_graph(5)) + + Parameters + ---------- + n : int or iterable container of nodes + If n is an integer, nodes are from `range(n)`. + If n is a container of nodes, those nodes appear in the graph. + Warning: n is not checked for duplicates and if present the + resulting graph may not be as desired. Make sure you have no duplicates. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Notes + ----- + If create_using is directed, the direction is in increasing order. + + """ + _, nodes = n + G = empty_graph(nodes, create_using) + G.add_edges_from(pairwise(nodes, cyclic=True)) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def dorogovtsev_goltsev_mendes_graph(n, create_using=None): + """Returns the hierarchically constructed Dorogovtsev--Goltsev--Mendes graph. + + The Dorogovtsev--Goltsev--Mendes [1]_ procedure deterministically produces a + scale-free graph with ``3/2 * (3**(n-1) + 1)`` nodes + and ``3**n`` edges for a given `n`. + + Note that `n` denotes the number of times the state transition is applied, + starting from the base graph with ``n = 0`` (no transitions), as in [2]_. + This is different from the parameter ``t = n - 1`` in [1]_. + + .. plot:: + + >>> nx.draw(nx.dorogovtsev_goltsev_mendes_graph(3)) + + Parameters + ---------- + n : integer + The generation number. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. Directed graphs and multigraphs are not supported. + + Returns + ------- + G : NetworkX `Graph` + + Raises + ------ + NetworkXError + If `n` is less than zero. + + If `create_using` is a directed graph or multigraph. + + Examples + -------- + >>> G = nx.dorogovtsev_goltsev_mendes_graph(3) + >>> G.number_of_nodes() + 15 + >>> G.number_of_edges() + 27 + >>> nx.is_planar(G) + True + + References + ---------- + .. [1] S. N. Dorogovtsev, A. V. Goltsev and J. F. F. Mendes, + "Pseudofractal scale-free web", Physical Review E 65, 066122, 2002. + https://arxiv.org/pdf/cond-mat/0112143.pdf + .. [2] Weisstein, Eric W. "Dorogovtsev--Goltsev--Mendes Graph". + From MathWorld--A Wolfram Web Resource. + https://mathworld.wolfram.com/Dorogovtsev-Goltsev-MendesGraph.html + """ + if n < 0: + raise NetworkXError("n must be greater than or equal to 0") + + G = empty_graph(0, create_using) + if G.is_directed(): + raise NetworkXError("directed graph not supported") + if G.is_multigraph(): + raise NetworkXError("multigraph not supported") + + G.add_edge(0, 1) + new_node = 2 # next node to be added + for _ in range(n): # iterate over number of generations. + new_edges = [] + for u, v in G.edges(): + new_edges.append((u, new_node)) + new_edges.append((v, new_node)) + new_node += 1 + + G.add_edges_from(new_edges) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number(0) +def empty_graph(n=0, create_using=None, default=Graph): + """Returns the empty graph with n nodes and zero edges. + + .. plot:: + + >>> nx.draw(nx.empty_graph(5)) + + Parameters + ---------- + n : int or iterable container of nodes (default = 0) + If n is an integer, nodes are from `range(n)`. + If n is a container of nodes, those nodes appear in the graph. + create_using : Graph Instance, Constructor or None + Indicator of type of graph to return. + If a Graph-type instance, then clear and use it. + If None, use the `default` constructor. + If a constructor, call it to create an empty graph. + default : Graph constructor (optional, default = nx.Graph) + The constructor to use if create_using is None. + If None, then nx.Graph is used. + This is used when passing an unknown `create_using` value + through your home-grown function to `empty_graph` and + you want a default constructor other than nx.Graph. + + Examples + -------- + >>> G = nx.empty_graph(10) + >>> G.number_of_nodes() + 10 + >>> G.number_of_edges() + 0 + >>> G = nx.empty_graph("ABC") + >>> G.number_of_nodes() + 3 + >>> sorted(G) + ['A', 'B', 'C'] + + Notes + ----- + The variable create_using should be a Graph Constructor or a + "graph"-like object. Constructors, e.g. `nx.Graph` or `nx.MultiGraph` + will be used to create the returned graph. "graph"-like objects + will be cleared (nodes and edges will be removed) and refitted as + an empty "graph" with nodes specified in n. This capability + is useful for specifying the class-nature of the resulting empty + "graph" (i.e. Graph, DiGraph, MyWeirdGraphClass, etc.). + + The variable create_using has three main uses: + Firstly, the variable create_using can be used to create an + empty digraph, multigraph, etc. For example, + + >>> n = 10 + >>> G = nx.empty_graph(n, create_using=nx.DiGraph) + + will create an empty digraph on n nodes. + + Secondly, one can pass an existing graph (digraph, multigraph, + etc.) via create_using. For example, if G is an existing graph + (resp. digraph, multigraph, etc.), then empty_graph(n, create_using=G) + will empty G (i.e. delete all nodes and edges using G.clear()) + and then add n nodes and zero edges, and return the modified graph. + + Thirdly, when constructing your home-grown graph creation function + you can use empty_graph to construct the graph by passing a user + defined create_using to empty_graph. In this case, if you want the + default constructor to be other than nx.Graph, specify `default`. + + >>> def mygraph(n, create_using=None): + ... G = nx.empty_graph(n, create_using, nx.MultiGraph) + ... G.add_edges_from([(0, 1), (0, 1)]) + ... return G + >>> G = mygraph(3) + >>> G.is_multigraph() + True + >>> G = mygraph(3, nx.Graph) + >>> G.is_multigraph() + False + + See also create_empty_copy(G). + + """ + if create_using is None: + G = default() + elif isinstance(create_using, type): + G = create_using() + elif not hasattr(create_using, "adj"): + raise TypeError("create_using is not a valid NetworkX graph type or instance") + else: + # create_using is a NetworkX style Graph + create_using.clear() + G = create_using + + _, nodes = n + G.add_nodes_from(nodes) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def ladder_graph(n, create_using=None): + """Returns the Ladder graph of length n. + + This is two paths of n nodes, with + each pair connected by a single edge. + + Node labels are the integers 0 to 2*n - 1. + + .. plot:: + + >>> nx.draw(nx.ladder_graph(5)) + + """ + G = empty_graph(2 * n, create_using) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + G.add_edges_from(pairwise(range(n))) + G.add_edges_from(pairwise(range(n, 2 * n))) + G.add_edges_from((v, v + n) for v in range(n)) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number([0, 1]) +def lollipop_graph(m, n, create_using=None): + """Returns the Lollipop Graph; ``K_m`` connected to ``P_n``. + + This is the Barbell Graph without the right barbell. + + .. plot:: + + >>> nx.draw(nx.lollipop_graph(3, 4)) + + Parameters + ---------- + m, n : int or iterable container of nodes + If an integer, nodes are from ``range(m)`` and ``range(m, m+n)``. + If a container of nodes, those nodes appear in the graph. + Warning: `m` and `n` are not checked for duplicates and if present the + resulting graph may not be as desired. Make sure you have no duplicates. + + The nodes for `m` appear in the complete graph $K_m$ and the nodes + for `n` appear in the path $P_n$ + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + Networkx graph + A complete graph with `m` nodes connected to a path of length `n`. + + Notes + ----- + The 2 subgraphs are joined via an edge ``(m-1, m)``. + If ``n=0``, this is merely a complete graph. + + (This graph is an extremal example in David Aldous and Jim + Fill's etext on Random Walks on Graphs.) + + """ + m, m_nodes = m + M = len(m_nodes) + if M < 2: + raise NetworkXError("Invalid description: m should indicate at least 2 nodes") + + n, n_nodes = n + if isinstance(m, numbers.Integral) and isinstance(n, numbers.Integral): + n_nodes = list(range(M, M + n)) + N = len(n_nodes) + + # the ball + G = complete_graph(m_nodes, create_using) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + + # the stick + G.add_nodes_from(n_nodes) + if N > 1: + G.add_edges_from(pairwise(n_nodes)) + + if len(G) != M + N: + raise NetworkXError("Nodes must be distinct in containers m and n") + + # connect ball to stick + if M > 0 and N > 0: + G.add_edge(m_nodes[-1], n_nodes[0]) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def null_graph(create_using=None): + """Returns the Null graph with no nodes or edges. + + See empty_graph for the use of create_using. + + """ + G = empty_graph(0, create_using) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number(0) +def path_graph(n, create_using=None): + """Returns the Path graph `P_n` of linearly connected nodes. + + .. plot:: + + >>> nx.draw(nx.path_graph(5)) + + Parameters + ---------- + n : int or iterable + If an integer, nodes are 0 to n - 1. + If an iterable of nodes, in the order they appear in the path. + Warning: n is not checked for duplicates and if present the + resulting graph may not be as desired. Make sure you have no duplicates. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + """ + _, nodes = n + G = empty_graph(nodes, create_using) + G.add_edges_from(pairwise(nodes)) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number(0) +def star_graph(n, create_using=None): + """Return the star graph + + The star graph consists of one center node connected to n outer nodes. + + .. plot:: + + >>> nx.draw(nx.star_graph(6)) + + Parameters + ---------- + n : int or iterable + If an integer, node labels are 0 to n with center 0. + If an iterable of nodes, the center is the first. + Warning: n is not checked for duplicates and if present the + resulting graph may not be as desired. Make sure you have no duplicates. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Notes + ----- + The graph has n+1 nodes for integer n. + So star_graph(3) is the same as star_graph(range(4)). + """ + n, nodes = n + if isinstance(n, numbers.Integral): + nodes.append(int(n)) # there should be n+1 nodes + G = empty_graph(nodes, create_using) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + + if len(nodes) > 1: + hub, *spokes = nodes + G.add_edges_from((hub, node) for node in spokes) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number([0, 1]) +def tadpole_graph(m, n, create_using=None): + """Returns the (m,n)-tadpole graph; ``C_m`` connected to ``P_n``. + + This graph on m+n nodes connects a cycle of size `m` to a path of length `n`. + It looks like a tadpole. It is also called a kite graph or a dragon graph. + + .. plot:: + + >>> nx.draw(nx.tadpole_graph(3, 5)) + + Parameters + ---------- + m, n : int or iterable container of nodes + If an integer, nodes are from ``range(m)`` and ``range(m,m+n)``. + If a container of nodes, those nodes appear in the graph. + Warning: `m` and `n` are not checked for duplicates and if present the + resulting graph may not be as desired. + + The nodes for `m` appear in the cycle graph $C_m$ and the nodes + for `n` appear in the path $P_n$. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + Networkx graph + A cycle of size `m` connected to a path of length `n`. + + Raises + ------ + NetworkXError + If ``m < 2``. The tadpole graph is undefined for ``m<2``. + + Notes + ----- + The 2 subgraphs are joined via an edge ``(m-1, m)``. + If ``n=0``, this is a cycle graph. + `m` and/or `n` can be a container of nodes instead of an integer. + + """ + m, m_nodes = m + M = len(m_nodes) + if M < 2: + raise NetworkXError("Invalid description: m should indicate at least 2 nodes") + + n, n_nodes = n + if isinstance(m, numbers.Integral) and isinstance(n, numbers.Integral): + n_nodes = list(range(M, M + n)) + + # the circle + G = cycle_graph(m_nodes, create_using) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + + # the stick + nx.add_path(G, [m_nodes[-1]] + list(n_nodes)) + + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def trivial_graph(create_using=None): + """Return the Trivial graph with one node (with label 0) and no edges. + + .. plot:: + + >>> nx.draw(nx.trivial_graph(), with_labels=True) + + """ + G = empty_graph(1, create_using) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def turan_graph(n, r): + r"""Return the Turan Graph + + The Turan Graph is a complete multipartite graph on $n$ nodes + with $r$ disjoint subsets. That is, edges connect each node to + every node not in its subset. + + Given $n$ and $r$, we create a complete multipartite graph with + $r-(n \mod r)$ partitions of size $n/r$, rounded down, and + $n \mod r$ partitions of size $n/r+1$, rounded down. + + .. plot:: + + >>> nx.draw(nx.turan_graph(6, 2)) + + Parameters + ---------- + n : int + The number of nodes. + r : int + The number of partitions. + Must be less than or equal to n. + + Notes + ----- + Must satisfy $1 <= r <= n$. + The graph has $(r-1)(n^2)/(2r)$ edges, rounded down. + """ + + if not 1 <= r <= n: + raise NetworkXError("Must satisfy 1 <= r <= n") + + partitions = [n // r] * (r - (n % r)) + [n // r + 1] * (n % r) + G = complete_multipartite_graph(*partitions) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number(0) +def wheel_graph(n, create_using=None): + """Return the wheel graph + + The wheel graph consists of a hub node connected to a cycle of (n-1) nodes. + + .. plot:: + + >>> nx.draw(nx.wheel_graph(5)) + + Parameters + ---------- + n : int or iterable + If an integer, node labels are 0 to n with center 0. + If an iterable of nodes, the center is the first. + Warning: n is not checked for duplicates and if present the + resulting graph may not be as desired. Make sure you have no duplicates. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Node labels are the integers 0 to n - 1. + """ + _, nodes = n + G = empty_graph(nodes, create_using) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + + if len(nodes) > 1: + hub, *rim = nodes + G.add_edges_from((hub, node) for node in rim) + if len(rim) > 1: + G.add_edges_from(pairwise(rim, cyclic=True)) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def complete_multipartite_graph(*subset_sizes): + """Returns the complete multipartite graph with the specified subset sizes. + + .. plot:: + + >>> nx.draw(nx.complete_multipartite_graph(1, 2, 3)) + + Parameters + ---------- + subset_sizes : tuple of integers or tuple of node iterables + The arguments can either all be integer number of nodes or they + can all be iterables of nodes. If integers, they represent the + number of nodes in each subset of the multipartite graph. + If iterables, each is used to create the nodes for that subset. + The length of subset_sizes is the number of subsets. + + Returns + ------- + G : NetworkX Graph + Returns the complete multipartite graph with the specified subsets. + + For each node, the node attribute 'subset' is an integer + indicating which subset contains the node. + + Examples + -------- + Creating a complete tripartite graph, with subsets of one, two, and three + nodes, respectively. + + >>> G = nx.complete_multipartite_graph(1, 2, 3) + >>> [G.nodes[u]["subset"] for u in G] + [0, 1, 1, 2, 2, 2] + >>> list(G.edges(0)) + [(0, 1), (0, 2), (0, 3), (0, 4), (0, 5)] + >>> list(G.edges(2)) + [(2, 0), (2, 3), (2, 4), (2, 5)] + >>> list(G.edges(4)) + [(4, 0), (4, 1), (4, 2)] + + >>> G = nx.complete_multipartite_graph("a", "bc", "def") + >>> [G.nodes[u]["subset"] for u in sorted(G)] + [0, 1, 1, 2, 2, 2] + + Notes + ----- + This function generalizes several other graph builder functions. + + - If no subset sizes are given, this returns the null graph. + - If a single subset size `n` is given, this returns the empty graph on + `n` nodes. + - If two subset sizes `m` and `n` are given, this returns the complete + bipartite graph on `m + n` nodes. + - If subset sizes `1` and `n` are given, this returns the star graph on + `n + 1` nodes. + + See also + -------- + complete_bipartite_graph + """ + # The complete multipartite graph is an undirected simple graph. + G = Graph() + + if len(subset_sizes) == 0: + return G + + # set up subsets of nodes + try: + extents = pairwise(itertools.accumulate((0,) + subset_sizes)) + subsets = [range(start, end) for start, end in extents] + except TypeError: + subsets = subset_sizes + else: + if any(size < 0 for size in subset_sizes): + raise NetworkXError(f"Negative number of nodes not valid: {subset_sizes}") + + # add nodes with subset attribute + # while checking that ints are not mixed with iterables + try: + for i, subset in enumerate(subsets): + G.add_nodes_from(subset, subset=i) + except TypeError as err: + raise NetworkXError("Arguments must be all ints or all iterables") from err + + # Across subsets, all nodes should be adjacent. + # We can use itertools.combinations() because undirected. + for subset1, subset2 in itertools.combinations(subsets, 2): + G.add_edges_from(itertools.product(subset1, subset2)) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/cographs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/cographs.py new file mode 100644 index 0000000000000000000000000000000000000000..6635b32f691696c1b6f309ad0da81c3cbc43bed9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/cographs.py @@ -0,0 +1,68 @@ +r"""Generators for cographs + +A cograph is a graph containing no path on four vertices. +Cographs or $P_4$-free graphs can be obtained from a single vertex +by disjoint union and complementation operations. + +References +---------- +.. [0] D.G. Corneil, H. Lerchs, L.Stewart Burlingham, + "Complement reducible graphs", + Discrete Applied Mathematics, Volume 3, Issue 3, 1981, Pages 163-174, + ISSN 0166-218X. +""" + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = ["random_cograph"] + + +@py_random_state(1) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_cograph(n, seed=None): + r"""Returns a random cograph with $2 ^ n$ nodes. + + A cograph is a graph containing no path on four vertices. + Cographs or $P_4$-free graphs can be obtained from a single vertex + by disjoint union and complementation operations. + + This generator starts off from a single vertex and performs disjoint + union and full join operations on itself. + The decision on which operation will take place is random. + + Parameters + ---------- + n : int + The order of the cograph. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : A random graph containing no path on four vertices. + + See Also + -------- + full_join + union + + References + ---------- + .. [1] D.G. Corneil, H. Lerchs, L.Stewart Burlingham, + "Complement reducible graphs", + Discrete Applied Mathematics, Volume 3, Issue 3, 1981, Pages 163-174, + ISSN 0166-218X. + """ + R = nx.empty_graph(1) + + for i in range(n): + RR = nx.relabel_nodes(R.copy(), lambda x: x + len(R)) + + if seed.randint(0, 1) == 0: + R = nx.full_join(R, RR) + else: + R = nx.disjoint_union(R, RR) + + return R diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/community.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/community.py new file mode 100644 index 0000000000000000000000000000000000000000..a7f2294c5cf9137dc1fab2a50d7ffcd6c59b6dec --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/community.py @@ -0,0 +1,1070 @@ +"""Generators for classes of graphs used in studying social networks.""" + +import itertools +import math + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = [ + "caveman_graph", + "connected_caveman_graph", + "relaxed_caveman_graph", + "random_partition_graph", + "planted_partition_graph", + "gaussian_random_partition_graph", + "ring_of_cliques", + "windmill_graph", + "stochastic_block_model", + "LFR_benchmark_graph", +] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def caveman_graph(l, k): + """Returns a caveman graph of `l` cliques of size `k`. + + Parameters + ---------- + l : int + Number of cliques + k : int + Size of cliques + + Returns + ------- + G : NetworkX Graph + caveman graph + + Notes + ----- + This returns an undirected graph, it can be converted to a directed + graph using :func:`nx.to_directed`, or a multigraph using + ``nx.MultiGraph(nx.caveman_graph(l, k))``. Only the undirected version is + described in [1]_ and it is unclear which of the directed + generalizations is most useful. + + Examples + -------- + >>> G = nx.caveman_graph(3, 3) + + See also + -------- + + connected_caveman_graph + + References + ---------- + .. [1] Watts, D. J. 'Networks, Dynamics, and the Small-World Phenomenon.' + Amer. J. Soc. 105, 493-527, 1999. + """ + # l disjoint cliques of size k + G = nx.empty_graph(l * k) + if k > 1: + for start in range(0, l * k, k): + edges = itertools.combinations(range(start, start + k), 2) + G.add_edges_from(edges) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def connected_caveman_graph(l, k): + """Returns a connected caveman graph of `l` cliques of size `k`. + + The connected caveman graph is formed by creating `n` cliques of size + `k`, then a single edge in each clique is rewired to a node in an + adjacent clique. + + Parameters + ---------- + l : int + number of cliques + k : int + size of cliques (k at least 2 or NetworkXError is raised) + + Returns + ------- + G : NetworkX Graph + connected caveman graph + + Raises + ------ + NetworkXError + If the size of cliques `k` is smaller than 2. + + Notes + ----- + This returns an undirected graph, it can be converted to a directed + graph using :func:`nx.to_directed`, or a multigraph using + ``nx.MultiGraph(nx.caveman_graph(l, k))``. Only the undirected version is + described in [1]_ and it is unclear which of the directed + generalizations is most useful. + + Examples + -------- + >>> G = nx.connected_caveman_graph(3, 3) + + References + ---------- + .. [1] Watts, D. J. 'Networks, Dynamics, and the Small-World Phenomenon.' + Amer. J. Soc. 105, 493-527, 1999. + """ + if k < 2: + raise nx.NetworkXError( + "The size of cliques in a connected caveman graph must be at least 2." + ) + + G = nx.caveman_graph(l, k) + for start in range(0, l * k, k): + G.remove_edge(start, start + 1) + G.add_edge(start, (start - 1) % (l * k)) + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def relaxed_caveman_graph(l, k, p, seed=None): + """Returns a relaxed caveman graph. + + A relaxed caveman graph starts with `l` cliques of size `k`. Edges are + then randomly rewired with probability `p` to link different cliques. + + Parameters + ---------- + l : int + Number of groups + k : int + Size of cliques + p : float + Probability of rewiring each edge. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : NetworkX Graph + Relaxed Caveman Graph + + Raises + ------ + NetworkXError + If p is not in [0,1] + + Examples + -------- + >>> G = nx.relaxed_caveman_graph(2, 3, 0.1, seed=42) + + References + ---------- + .. [1] Santo Fortunato, Community Detection in Graphs, + Physics Reports Volume 486, Issues 3-5, February 2010, Pages 75-174. + https://arxiv.org/abs/0906.0612 + """ + G = nx.caveman_graph(l, k) + nodes = list(G) + for u, v in G.edges(): + if seed.random() < p: # rewire the edge + x = seed.choice(nodes) + if G.has_edge(u, x): + continue + G.remove_edge(u, v) + G.add_edge(u, x) + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_partition_graph(sizes, p_in, p_out, seed=None, directed=False): + """Returns the random partition graph with a partition of sizes. + + A partition graph is a graph of communities with sizes defined by + s in sizes. Nodes in the same group are connected with probability + p_in and nodes of different groups are connected with probability + p_out. + + Parameters + ---------- + sizes : list of ints + Sizes of groups + p_in : float + probability of edges with in groups + p_out : float + probability of edges between groups + directed : boolean optional, default=False + Whether to create a directed graph + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : NetworkX Graph or DiGraph + random partition graph of size sum(gs) + + Raises + ------ + NetworkXError + If p_in or p_out is not in [0,1] + + Examples + -------- + >>> G = nx.random_partition_graph([10, 10, 10], 0.25, 0.01) + >>> len(G) + 30 + >>> partition = G.graph["partition"] + >>> len(partition) + 3 + + Notes + ----- + This is a generalization of the planted-l-partition described in + [1]_. It allows for the creation of groups of any size. + + The partition is store as a graph attribute 'partition'. + + References + ---------- + .. [1] Santo Fortunato 'Community Detection in Graphs' Physical Reports + Volume 486, Issue 3-5 p. 75-174. https://arxiv.org/abs/0906.0612 + """ + # Use geometric method for O(n+m) complexity algorithm + # partition = nx.community_sets(nx.get_node_attributes(G, 'affiliation')) + if not 0.0 <= p_in <= 1.0: + raise nx.NetworkXError("p_in must be in [0,1]") + if not 0.0 <= p_out <= 1.0: + raise nx.NetworkXError("p_out must be in [0,1]") + + # create connection matrix + num_blocks = len(sizes) + p = [[p_out for s in range(num_blocks)] for r in range(num_blocks)] + for r in range(num_blocks): + p[r][r] = p_in + + return stochastic_block_model( + sizes, + p, + nodelist=None, + seed=seed, + directed=directed, + selfloops=False, + sparse=True, + ) + + +@py_random_state(4) +@nx._dispatchable(graphs=None, returns_graph=True) +def planted_partition_graph(l, k, p_in, p_out, seed=None, directed=False): + """Returns the planted l-partition graph. + + This model partitions a graph with n=l*k vertices in + l groups with k vertices each. Vertices of the same + group are linked with a probability p_in, and vertices + of different groups are linked with probability p_out. + + Parameters + ---------- + l : int + Number of groups + k : int + Number of vertices in each group + p_in : float + probability of connecting vertices within a group + p_out : float + probability of connected vertices between groups + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + directed : bool,optional (default=False) + If True return a directed graph + + Returns + ------- + G : NetworkX Graph or DiGraph + planted l-partition graph + + Raises + ------ + NetworkXError + If `p_in`, `p_out` are not in `[0, 1]` + + Examples + -------- + >>> G = nx.planted_partition_graph(4, 3, 0.5, 0.1, seed=42) + + See Also + -------- + random_partition_model + + References + ---------- + .. [1] A. Condon, R.M. Karp, Algorithms for graph partitioning + on the planted partition model, + Random Struct. Algor. 18 (2001) 116-140. + + .. [2] Santo Fortunato 'Community Detection in Graphs' Physical Reports + Volume 486, Issue 3-5 p. 75-174. https://arxiv.org/abs/0906.0612 + """ + return random_partition_graph([k] * l, p_in, p_out, seed=seed, directed=directed) + + +@py_random_state(6) +@nx._dispatchable(graphs=None, returns_graph=True) +def gaussian_random_partition_graph(n, s, v, p_in, p_out, directed=False, seed=None): + """Generate a Gaussian random partition graph. + + A Gaussian random partition graph is created by creating k partitions + each with a size drawn from a normal distribution with mean s and variance + s/v. Nodes are connected within clusters with probability p_in and + between clusters with probability p_out[1] + + Parameters + ---------- + n : int + Number of nodes in the graph + s : float + Mean cluster size + v : float + Shape parameter. The variance of cluster size distribution is s/v. + p_in : float + Probability of intra cluster connection. + p_out : float + Probability of inter cluster connection. + directed : boolean, optional default=False + Whether to create a directed graph or not + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : NetworkX Graph or DiGraph + gaussian random partition graph + + Raises + ------ + NetworkXError + If s is > n + If p_in or p_out is not in [0,1] + + Notes + ----- + Note the number of partitions is dependent on s,v and n, and that the + last partition may be considerably smaller, as it is sized to simply + fill out the nodes [1] + + See Also + -------- + random_partition_graph + + Examples + -------- + >>> G = nx.gaussian_random_partition_graph(100, 10, 10, 0.25, 0.1) + >>> len(G) + 100 + + References + ---------- + .. [1] Ulrik Brandes, Marco Gaertler, Dorothea Wagner, + Experiments on Graph Clustering Algorithms, + In the proceedings of the 11th Europ. Symp. Algorithms, 2003. + """ + if s > n: + raise nx.NetworkXError("s must be <= n") + assigned = 0 + sizes = [] + while True: + size = int(seed.gauss(s, s / v + 0.5)) + if size < 1: # how to handle 0 or negative sizes? + continue + if assigned + size >= n: + sizes.append(n - assigned) + break + assigned += size + sizes.append(size) + return random_partition_graph(sizes, p_in, p_out, seed=seed, directed=directed) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def ring_of_cliques(num_cliques, clique_size): + """Defines a "ring of cliques" graph. + + A ring of cliques graph is consisting of cliques, connected through single + links. Each clique is a complete graph. + + Parameters + ---------- + num_cliques : int + Number of cliques + clique_size : int + Size of cliques + + Returns + ------- + G : NetworkX Graph + ring of cliques graph + + Raises + ------ + NetworkXError + If the number of cliques is lower than 2 or + if the size of cliques is smaller than 2. + + Examples + -------- + >>> G = nx.ring_of_cliques(8, 4) + + See Also + -------- + connected_caveman_graph + + Notes + ----- + The `connected_caveman_graph` graph removes a link from each clique to + connect it with the next clique. Instead, the `ring_of_cliques` graph + simply adds the link without removing any link from the cliques. + """ + if num_cliques < 2: + raise nx.NetworkXError("A ring of cliques must have at least two cliques") + if clique_size < 2: + raise nx.NetworkXError("The cliques must have at least two nodes") + + G = nx.Graph() + for i in range(num_cliques): + edges = itertools.combinations( + range(i * clique_size, i * clique_size + clique_size), 2 + ) + G.add_edges_from(edges) + G.add_edge( + i * clique_size + 1, (i + 1) * clique_size % (num_cliques * clique_size) + ) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def windmill_graph(n, k): + """Generate a windmill graph. + A windmill graph is a graph of `n` cliques each of size `k` that are all + joined at one node. + It can be thought of as taking a disjoint union of `n` cliques of size `k`, + selecting one point from each, and contracting all of the selected points. + Alternatively, one could generate `n` cliques of size `k-1` and one node + that is connected to all other nodes in the graph. + + Parameters + ---------- + n : int + Number of cliques + k : int + Size of cliques + + Returns + ------- + G : NetworkX Graph + windmill graph with n cliques of size k + + Raises + ------ + NetworkXError + If the number of cliques is less than two + If the size of the cliques are less than two + + Examples + -------- + >>> G = nx.windmill_graph(4, 5) + + Notes + ----- + The node labeled `0` will be the node connected to all other nodes. + Note that windmill graphs are usually denoted `Wd(k,n)`, so the parameters + are in the opposite order as the parameters of this method. + """ + if n < 2: + msg = "A windmill graph must have at least two cliques" + raise nx.NetworkXError(msg) + if k < 2: + raise nx.NetworkXError("The cliques must have at least two nodes") + + G = nx.disjoint_union_all( + itertools.chain( + [nx.complete_graph(k)], (nx.complete_graph(k - 1) for _ in range(n - 1)) + ) + ) + G.add_edges_from((0, i) for i in range(k, G.number_of_nodes())) + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def stochastic_block_model( + sizes, p, nodelist=None, seed=None, directed=False, selfloops=False, sparse=True +): + """Returns a stochastic block model graph. + + This model partitions the nodes in blocks of arbitrary sizes, and places + edges between pairs of nodes independently, with a probability that depends + on the blocks. + + Parameters + ---------- + sizes : list of ints + Sizes of blocks + p : list of list of floats + Element (r,s) gives the density of edges going from the nodes + of group r to nodes of group s. + p must match the number of groups (len(sizes) == len(p)), + and it must be symmetric if the graph is undirected. + nodelist : list, optional + The block tags are assigned according to the node identifiers + in nodelist. If nodelist is None, then the ordering is the + range [0,sum(sizes)-1]. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + directed : boolean optional, default=False + Whether to create a directed graph or not. + selfloops : boolean optional, default=False + Whether to include self-loops or not. + sparse: boolean optional, default=True + Use the sparse heuristic to speed up the generator. + + Returns + ------- + g : NetworkX Graph or DiGraph + Stochastic block model graph of size sum(sizes) + + Raises + ------ + NetworkXError + If probabilities are not in [0,1]. + If the probability matrix is not square (directed case). + If the probability matrix is not symmetric (undirected case). + If the sizes list does not match nodelist or the probability matrix. + If nodelist contains duplicate. + + Examples + -------- + >>> sizes = [75, 75, 300] + >>> probs = [[0.25, 0.05, 0.02], [0.05, 0.35, 0.07], [0.02, 0.07, 0.40]] + >>> g = nx.stochastic_block_model(sizes, probs, seed=0) + >>> len(g) + 450 + >>> H = nx.quotient_graph(g, g.graph["partition"], relabel=True) + >>> for v in H.nodes(data=True): + ... print(round(v[1]["density"], 3)) + 0.245 + 0.348 + 0.405 + >>> for v in H.edges(data=True): + ... print(round(1.0 * v[2]["weight"] / (sizes[v[0]] * sizes[v[1]]), 3)) + 0.051 + 0.022 + 0.07 + + See Also + -------- + random_partition_graph + planted_partition_graph + gaussian_random_partition_graph + gnp_random_graph + + References + ---------- + .. [1] Holland, P. W., Laskey, K. B., & Leinhardt, S., + "Stochastic blockmodels: First steps", + Social networks, 5(2), 109-137, 1983. + """ + # Check if dimensions match + if len(sizes) != len(p): + raise nx.NetworkXException("'sizes' and 'p' do not match.") + # Check for probability symmetry (undirected) and shape (directed) + for row in p: + if len(p) != len(row): + raise nx.NetworkXException("'p' must be a square matrix.") + if not directed: + p_transpose = [list(i) for i in zip(*p)] + for i in zip(p, p_transpose): + for j in zip(i[0], i[1]): + if abs(j[0] - j[1]) > 1e-08: + raise nx.NetworkXException("'p' must be symmetric.") + # Check for probability range + for row in p: + for prob in row: + if prob < 0 or prob > 1: + raise nx.NetworkXException("Entries of 'p' not in [0,1].") + # Check for nodelist consistency + if nodelist is not None: + if len(nodelist) != sum(sizes): + raise nx.NetworkXException("'nodelist' and 'sizes' do not match.") + if len(nodelist) != len(set(nodelist)): + raise nx.NetworkXException("nodelist contains duplicate.") + else: + nodelist = range(sum(sizes)) + + # Setup the graph conditionally to the directed switch. + block_range = range(len(sizes)) + if directed: + g = nx.DiGraph() + block_iter = itertools.product(block_range, block_range) + else: + g = nx.Graph() + block_iter = itertools.combinations_with_replacement(block_range, 2) + # Split nodelist in a partition (list of sets). + size_cumsum = [sum(sizes[0:x]) for x in range(len(sizes) + 1)] + g.graph["partition"] = [ + set(nodelist[size_cumsum[x] : size_cumsum[x + 1]]) + for x in range(len(size_cumsum) - 1) + ] + # Setup nodes and graph name + for block_id, nodes in enumerate(g.graph["partition"]): + for node in nodes: + g.add_node(node, block=block_id) + + g.name = "stochastic_block_model" + + # Test for edge existence + parts = g.graph["partition"] + for i, j in block_iter: + if i == j: + if directed: + if selfloops: + edges = itertools.product(parts[i], parts[i]) + else: + edges = itertools.permutations(parts[i], 2) + else: + edges = itertools.combinations(parts[i], 2) + if selfloops: + edges = itertools.chain(edges, zip(parts[i], parts[i])) + for e in edges: + if seed.random() < p[i][j]: + g.add_edge(*e) + else: + edges = itertools.product(parts[i], parts[j]) + if sparse: + if p[i][j] == 1: # Test edges cases p_ij = 0 or 1 + for e in edges: + g.add_edge(*e) + elif p[i][j] > 0: + while True: + try: + logrand = math.log(seed.random()) + skip = math.floor(logrand / math.log(1 - p[i][j])) + # consume "skip" edges + next(itertools.islice(edges, skip, skip), None) + e = next(edges) + g.add_edge(*e) # __safe + except StopIteration: + break + else: + for e in edges: + if seed.random() < p[i][j]: + g.add_edge(*e) # __safe + return g + + +def _zipf_rv_below(gamma, xmin, threshold, seed): + """Returns a random value chosen from the bounded Zipf distribution. + + Repeatedly draws values from the Zipf distribution until the + threshold is met, then returns that value. + """ + result = nx.utils.zipf_rv(gamma, xmin, seed) + while result > threshold: + result = nx.utils.zipf_rv(gamma, xmin, seed) + return result + + +def _powerlaw_sequence(gamma, low, high, condition, length, max_iters, seed): + """Returns a list of numbers obeying a constrained power law distribution. + + ``gamma`` and ``low`` are the parameters for the Zipf distribution. + + ``high`` is the maximum allowed value for values draw from the Zipf + distribution. For more information, see :func:`_zipf_rv_below`. + + ``condition`` and ``length`` are Boolean-valued functions on + lists. While generating the list, random values are drawn and + appended to the list until ``length`` is satisfied by the created + list. Once ``condition`` is satisfied, the sequence generated in + this way is returned. + + ``max_iters`` indicates the number of times to generate a list + satisfying ``length``. If the number of iterations exceeds this + value, :exc:`~networkx.exception.ExceededMaxIterations` is raised. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + """ + for i in range(max_iters): + seq = [] + while not length(seq): + seq.append(_zipf_rv_below(gamma, low, high, seed)) + if condition(seq): + return seq + raise nx.ExceededMaxIterations("Could not create power law sequence") + + +def _hurwitz_zeta(x, q, tolerance): + """The Hurwitz zeta function, or the Riemann zeta function of two arguments. + + ``x`` must be greater than one and ``q`` must be positive. + + This function repeatedly computes subsequent partial sums until + convergence, as decided by ``tolerance``. + """ + z = 0 + z_prev = -float("inf") + k = 0 + while abs(z - z_prev) > tolerance: + z_prev = z + z += 1 / ((k + q) ** x) + k += 1 + return z + + +def _generate_min_degree(gamma, average_degree, max_degree, tolerance, max_iters): + """Returns a minimum degree from the given average degree.""" + # Defines zeta function whether or not Scipy is available + try: + from scipy.special import zeta + except ImportError: + + def zeta(x, q): + return _hurwitz_zeta(x, q, tolerance) + + min_deg_top = max_degree + min_deg_bot = 1 + min_deg_mid = (min_deg_top - min_deg_bot) / 2 + min_deg_bot + itrs = 0 + mid_avg_deg = 0 + while abs(mid_avg_deg - average_degree) > tolerance: + if itrs > max_iters: + raise nx.ExceededMaxIterations("Could not match average_degree") + mid_avg_deg = 0 + for x in range(int(min_deg_mid), max_degree + 1): + mid_avg_deg += (x ** (-gamma + 1)) / zeta(gamma, min_deg_mid) + if mid_avg_deg > average_degree: + min_deg_top = min_deg_mid + min_deg_mid = (min_deg_top - min_deg_bot) / 2 + min_deg_bot + else: + min_deg_bot = min_deg_mid + min_deg_mid = (min_deg_top - min_deg_bot) / 2 + min_deg_bot + itrs += 1 + # return int(min_deg_mid + 0.5) + return round(min_deg_mid) + + +def _generate_communities(degree_seq, community_sizes, mu, max_iters, seed): + """Returns a list of sets, each of which represents a community. + + ``degree_seq`` is the degree sequence that must be met by the + graph. + + ``community_sizes`` is the community size distribution that must be + met by the generated list of sets. + + ``mu`` is a float in the interval [0, 1] indicating the fraction of + intra-community edges incident to each node. + + ``max_iters`` is the number of times to try to add a node to a + community. This must be greater than the length of + ``degree_seq``, otherwise this function will always fail. If + the number of iterations exceeds this value, + :exc:`~networkx.exception.ExceededMaxIterations` is raised. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + The communities returned by this are sets of integers in the set {0, + ..., *n* - 1}, where *n* is the length of ``degree_seq``. + + """ + # This assumes the nodes in the graph will be natural numbers. + result = [set() for _ in community_sizes] + n = len(degree_seq) + free = list(range(n)) + for i in range(max_iters): + v = free.pop() + c = seed.choice(range(len(community_sizes))) + # s = int(degree_seq[v] * (1 - mu) + 0.5) + s = round(degree_seq[v] * (1 - mu)) + # If the community is large enough, add the node to the chosen + # community. Otherwise, return it to the list of unaffiliated + # nodes. + if s < community_sizes[c]: + result[c].add(v) + else: + free.append(v) + # If the community is too big, remove a node from it. + if len(result[c]) > community_sizes[c]: + free.append(result[c].pop()) + if not free: + return result + msg = "Could not assign communities; try increasing min_community" + raise nx.ExceededMaxIterations(msg) + + +@py_random_state(11) +@nx._dispatchable(graphs=None, returns_graph=True) +def LFR_benchmark_graph( + n, + tau1, + tau2, + mu, + average_degree=None, + min_degree=None, + max_degree=None, + min_community=None, + max_community=None, + tol=1.0e-7, + max_iters=500, + seed=None, +): + r"""Returns the LFR benchmark graph. + + This algorithm proceeds as follows: + + 1) Find a degree sequence with a power law distribution, and minimum + value ``min_degree``, which has approximate average degree + ``average_degree``. This is accomplished by either + + a) specifying ``min_degree`` and not ``average_degree``, + b) specifying ``average_degree`` and not ``min_degree``, in which + case a suitable minimum degree will be found. + + ``max_degree`` can also be specified, otherwise it will be set to + ``n``. Each node *u* will have $\mu \mathrm{deg}(u)$ edges + joining it to nodes in communities other than its own and $(1 - + \mu) \mathrm{deg}(u)$ edges joining it to nodes in its own + community. + 2) Generate community sizes according to a power law distribution + with exponent ``tau2``. If ``min_community`` and + ``max_community`` are not specified they will be selected to be + ``min_degree`` and ``max_degree``, respectively. Community sizes + are generated until the sum of their sizes equals ``n``. + 3) Each node will be randomly assigned a community with the + condition that the community is large enough for the node's + intra-community degree, $(1 - \mu) \mathrm{deg}(u)$ as + described in step 2. If a community grows too large, a random node + will be selected for reassignment to a new community, until all + nodes have been assigned a community. + 4) Each node *u* then adds $(1 - \mu) \mathrm{deg}(u)$ + intra-community edges and $\mu \mathrm{deg}(u)$ inter-community + edges. + + Parameters + ---------- + n : int + Number of nodes in the created graph. + + tau1 : float + Power law exponent for the degree distribution of the created + graph. This value must be strictly greater than one. + + tau2 : float + Power law exponent for the community size distribution in the + created graph. This value must be strictly greater than one. + + mu : float + Fraction of inter-community edges incident to each node. This + value must be in the interval [0, 1]. + + average_degree : float + Desired average degree of nodes in the created graph. This value + must be in the interval [0, *n*]. Exactly one of this and + ``min_degree`` must be specified, otherwise a + :exc:`NetworkXError` is raised. + + min_degree : int + Minimum degree of nodes in the created graph. This value must be + in the interval [0, *n*]. Exactly one of this and + ``average_degree`` must be specified, otherwise a + :exc:`NetworkXError` is raised. + + max_degree : int + Maximum degree of nodes in the created graph. If not specified, + this is set to ``n``, the total number of nodes in the graph. + + min_community : int + Minimum size of communities in the graph. If not specified, this + is set to ``min_degree``. + + max_community : int + Maximum size of communities in the graph. If not specified, this + is set to ``n``, the total number of nodes in the graph. + + tol : float + Tolerance when comparing floats, specifically when comparing + average degree values. + + max_iters : int + Maximum number of iterations to try to create the community sizes, + degree distribution, and community affiliations. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : NetworkX graph + The LFR benchmark graph generated according to the specified + parameters. + + Each node in the graph has a node attribute ``'community'`` that + stores the community (that is, the set of nodes) that includes + it. + + Raises + ------ + NetworkXError + If any of the parameters do not meet their upper and lower bounds: + + - ``tau1`` and ``tau2`` must be strictly greater than 1. + - ``mu`` must be in [0, 1]. + - ``max_degree`` must be in {1, ..., *n*}. + - ``min_community`` and ``max_community`` must be in {0, ..., + *n*}. + + If not exactly one of ``average_degree`` and ``min_degree`` is + specified. + + If ``min_degree`` is not specified and a suitable ``min_degree`` + cannot be found. + + ExceededMaxIterations + If a valid degree sequence cannot be created within + ``max_iters`` number of iterations. + + If a valid set of community sizes cannot be created within + ``max_iters`` number of iterations. + + If a valid community assignment cannot be created within ``10 * + n * max_iters`` number of iterations. + + Examples + -------- + Basic usage:: + + >>> from networkx.generators.community import LFR_benchmark_graph + >>> n = 250 + >>> tau1 = 3 + >>> tau2 = 1.5 + >>> mu = 0.1 + >>> G = LFR_benchmark_graph( + ... n, tau1, tau2, mu, average_degree=5, min_community=20, seed=10 + ... ) + + Continuing the example above, you can get the communities from the + node attributes of the graph:: + + >>> communities = {frozenset(G.nodes[v]["community"]) for v in G} + + Notes + ----- + This algorithm differs slightly from the original way it was + presented in [1]. + + 1) Rather than connecting the graph via a configuration model then + rewiring to match the intra-community and inter-community + degrees, we do this wiring explicitly at the end, which should be + equivalent. + 2) The code posted on the author's website [2] calculates the random + power law distributed variables and their average using + continuous approximations, whereas we use the discrete + distributions here as both degree and community size are + discrete. + + Though the authors describe the algorithm as quite robust, testing + during development indicates that a somewhat narrower parameter set + is likely to successfully produce a graph. Some suggestions have + been provided in the event of exceptions. + + References + ---------- + .. [1] "Benchmark graphs for testing community detection algorithms", + Andrea Lancichinetti, Santo Fortunato, and Filippo Radicchi, + Phys. Rev. E 78, 046110 2008 + .. [2] https://www.santofortunato.net/resources + + """ + # Perform some basic parameter validation. + if not tau1 > 1: + raise nx.NetworkXError("tau1 must be greater than one") + if not tau2 > 1: + raise nx.NetworkXError("tau2 must be greater than one") + if not 0 <= mu <= 1: + raise nx.NetworkXError("mu must be in the interval [0, 1]") + + # Validate parameters for generating the degree sequence. + if max_degree is None: + max_degree = n + elif not 0 < max_degree <= n: + raise nx.NetworkXError("max_degree must be in the interval (0, n]") + if not ((min_degree is None) ^ (average_degree is None)): + raise nx.NetworkXError( + "Must assign exactly one of min_degree and average_degree" + ) + if min_degree is None: + min_degree = _generate_min_degree( + tau1, average_degree, max_degree, tol, max_iters + ) + + # Generate a degree sequence with a power law distribution. + low, high = min_degree, max_degree + + def condition(seq): + return sum(seq) % 2 == 0 + + def length(seq): + return len(seq) >= n + + deg_seq = _powerlaw_sequence(tau1, low, high, condition, length, max_iters, seed) + + # Validate parameters for generating the community size sequence. + if min_community is None: + min_community = min(deg_seq) + if max_community is None: + max_community = max(deg_seq) + + # Generate a community size sequence with a power law distribution. + # + # TODO The original code incremented the number of iterations each + # time a new Zipf random value was drawn from the distribution. This + # differed from the way the number of iterations was incremented in + # `_powerlaw_degree_sequence`, so this code was changed to match + # that one. As a result, this code is allowed many more chances to + # generate a valid community size sequence. + low, high = min_community, max_community + + def condition(seq): + return sum(seq) == n + + def length(seq): + return sum(seq) >= n + + comms = _powerlaw_sequence(tau2, low, high, condition, length, max_iters, seed) + + # Generate the communities based on the given degree sequence and + # community sizes. + max_iters *= 10 * n + communities = _generate_communities(deg_seq, comms, mu, max_iters, seed) + + # Finally, generate the benchmark graph based on the given + # communities, joining nodes according to the intra- and + # inter-community degrees. + G = nx.Graph() + G.add_nodes_from(range(n)) + for c in communities: + for u in c: + while G.degree(u) < round(deg_seq[u] * (1 - mu)): + v = seed.choice(list(c)) + G.add_edge(u, v) + while G.degree(u) < deg_seq[u]: + v = seed.choice(range(n)) + if v not in c: + G.add_edge(u, v) + G.nodes[u]["community"] = c + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/degree_seq.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/degree_seq.py new file mode 100644 index 0000000000000000000000000000000000000000..a27dd22e80fedc56b07d4ed96e076e5e37b63b3d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/degree_seq.py @@ -0,0 +1,867 @@ +"""Generate graphs with a given degree sequence or expected degree sequence.""" + +import heapq +import math +from itertools import chain, combinations, zip_longest +from operator import itemgetter + +import networkx as nx +from networkx.utils import py_random_state, random_weighted_sample + +__all__ = [ + "configuration_model", + "directed_configuration_model", + "expected_degree_graph", + "havel_hakimi_graph", + "directed_havel_hakimi_graph", + "degree_sequence_tree", + "random_degree_sequence_graph", +] + +chaini = chain.from_iterable + + +def _to_stublist(degree_sequence): + """Returns a list of degree-repeated node numbers. + + ``degree_sequence`` is a list of nonnegative integers representing + the degrees of nodes in a graph. + + This function returns a list of node numbers with multiplicities + according to the given degree sequence. For example, if the first + element of ``degree_sequence`` is ``3``, then the first node number, + ``0``, will appear at the head of the returned list three times. The + node numbers are assumed to be the numbers zero through + ``len(degree_sequence) - 1``. + + Examples + -------- + + >>> degree_sequence = [1, 2, 3] + >>> _to_stublist(degree_sequence) + [0, 1, 1, 2, 2, 2] + + If a zero appears in the sequence, that means the node exists but + has degree zero, so that number will be skipped in the returned + list:: + + >>> degree_sequence = [2, 0, 1] + >>> _to_stublist(degree_sequence) + [0, 0, 2] + + """ + return list(chaini([n] * d for n, d in enumerate(degree_sequence))) + + +def _configuration_model( + deg_sequence, create_using, directed=False, in_deg_sequence=None, seed=None +): + """Helper function for generating either undirected or directed + configuration model graphs. + + ``deg_sequence`` is a list of nonnegative integers representing the + degree of the node whose label is the index of the list element. + + ``create_using`` see :func:`~networkx.empty_graph`. + + ``directed`` and ``in_deg_sequence`` are required if you want the + returned graph to be generated using the directed configuration + model algorithm. If ``directed`` is ``False``, then ``deg_sequence`` + is interpreted as the degree sequence of an undirected graph and + ``in_deg_sequence`` is ignored. Otherwise, if ``directed`` is + ``True``, then ``deg_sequence`` is interpreted as the out-degree + sequence and ``in_deg_sequence`` as the in-degree sequence of a + directed graph. + + .. note:: + + ``deg_sequence`` and ``in_deg_sequence`` need not be the same + length. + + ``seed`` is a random.Random or numpy.random.RandomState instance + + This function returns a graph, directed if and only if ``directed`` + is ``True``, generated according to the configuration model + algorithm. For more information on the algorithm, see the + :func:`configuration_model` or :func:`directed_configuration_model` + functions. + + """ + n = len(deg_sequence) + G = nx.empty_graph(n, create_using) + # If empty, return the null graph immediately. + if n == 0: + return G + # Build a list of available degree-repeated nodes. For example, + # for degree sequence [3, 2, 1, 1, 1], the "stub list" is + # initially [0, 0, 0, 1, 1, 2, 3, 4], that is, node 0 has degree + # 3 and thus is repeated 3 times, etc. + # + # Also, shuffle the stub list in order to get a random sequence of + # node pairs. + if directed: + pairs = zip_longest(deg_sequence, in_deg_sequence, fillvalue=0) + # Unzip the list of pairs into a pair of lists. + out_deg, in_deg = zip(*pairs) + + out_stublist = _to_stublist(out_deg) + in_stublist = _to_stublist(in_deg) + + seed.shuffle(out_stublist) + seed.shuffle(in_stublist) + else: + stublist = _to_stublist(deg_sequence) + # Choose a random balanced bipartition of the stublist, which + # gives a random pairing of nodes. In this implementation, we + # shuffle the list and then split it in half. + n = len(stublist) + half = n // 2 + seed.shuffle(stublist) + out_stublist, in_stublist = stublist[:half], stublist[half:] + G.add_edges_from(zip(out_stublist, in_stublist)) + return G + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def configuration_model(deg_sequence, create_using=None, seed=None): + """Returns a random graph with the given degree sequence. + + The configuration model generates a random pseudograph (graph with + parallel edges and self loops) by randomly assigning edges to + match the given degree sequence. + + Parameters + ---------- + deg_sequence : list of nonnegative integers + Each list entry corresponds to the degree of a node. + create_using : NetworkX graph constructor, optional (default MultiGraph) + Graph type to create. If graph instance, then cleared before populated. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : MultiGraph + A graph with the specified degree sequence. + Nodes are labeled starting at 0 with an index + corresponding to the position in deg_sequence. + + Raises + ------ + NetworkXError + If the degree sequence does not have an even sum. + + See Also + -------- + is_graphical + + Notes + ----- + As described by Newman [1]_. + + A non-graphical degree sequence (not realizable by some simple + graph) is allowed since this function returns graphs with self + loops and parallel edges. An exception is raised if the degree + sequence does not have an even sum. + + This configuration model construction process can lead to + duplicate edges and loops. You can remove the self-loops and + parallel edges (see below) which will likely result in a graph + that doesn't have the exact degree sequence specified. + + The density of self-loops and parallel edges tends to decrease as + the number of nodes increases. However, typically the number of + self-loops will approach a Poisson distribution with a nonzero mean, + and similarly for the number of parallel edges. Consider a node + with *k* stubs. The probability of being joined to another stub of + the same node is basically (*k* - *1*) / *N*, where *k* is the + degree and *N* is the number of nodes. So the probability of a + self-loop scales like *c* / *N* for some constant *c*. As *N* grows, + this means we expect *c* self-loops. Similarly for parallel edges. + + References + ---------- + .. [1] M.E.J. Newman, "The structure and function of complex networks", + SIAM REVIEW 45-2, pp 167-256, 2003. + + Examples + -------- + You can create a degree sequence following a particular distribution + by using the one of the distribution functions in + :mod:`~networkx.utils.random_sequence` (or one of your own). For + example, to create an undirected multigraph on one hundred nodes + with degree sequence chosen from the power law distribution: + + >>> sequence = nx.random_powerlaw_tree_sequence(100, tries=5000) + >>> G = nx.configuration_model(sequence) + >>> len(G) + 100 + >>> actual_degrees = [d for v, d in G.degree()] + >>> actual_degrees == sequence + True + + The returned graph is a multigraph, which may have parallel + edges. To remove any parallel edges from the returned graph: + + >>> G = nx.Graph(G) + + Similarly, to remove self-loops: + + >>> G.remove_edges_from(nx.selfloop_edges(G)) + + """ + if sum(deg_sequence) % 2 != 0: + msg = "Invalid degree sequence: sum of degrees must be even, not odd" + raise nx.NetworkXError(msg) + + G = nx.empty_graph(0, create_using, default=nx.MultiGraph) + if G.is_directed(): + raise nx.NetworkXNotImplemented("not implemented for directed graphs") + + G = _configuration_model(deg_sequence, G, seed=seed) + + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def directed_configuration_model( + in_degree_sequence, out_degree_sequence, create_using=None, seed=None +): + """Returns a directed_random graph with the given degree sequences. + + The configuration model generates a random directed pseudograph + (graph with parallel edges and self loops) by randomly assigning + edges to match the given degree sequences. + + Parameters + ---------- + in_degree_sequence : list of nonnegative integers + Each list entry corresponds to the in-degree of a node. + out_degree_sequence : list of nonnegative integers + Each list entry corresponds to the out-degree of a node. + create_using : NetworkX graph constructor, optional (default MultiDiGraph) + Graph type to create. If graph instance, then cleared before populated. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : MultiDiGraph + A graph with the specified degree sequences. + Nodes are labeled starting at 0 with an index + corresponding to the position in deg_sequence. + + Raises + ------ + NetworkXError + If the degree sequences do not have the same sum. + + See Also + -------- + configuration_model + + Notes + ----- + Algorithm as described by Newman [1]_. + + A non-graphical degree sequence (not realizable by some simple + graph) is allowed since this function returns graphs with self + loops and parallel edges. An exception is raised if the degree + sequences does not have the same sum. + + This configuration model construction process can lead to + duplicate edges and loops. You can remove the self-loops and + parallel edges (see below) which will likely result in a graph + that doesn't have the exact degree sequence specified. This + "finite-size effect" decreases as the size of the graph increases. + + References + ---------- + .. [1] Newman, M. E. J. and Strogatz, S. H. and Watts, D. J. + Random graphs with arbitrary degree distributions and their applications + Phys. Rev. E, 64, 026118 (2001) + + Examples + -------- + One can modify the in- and out-degree sequences from an existing + directed graph in order to create a new directed graph. For example, + here we modify the directed path graph: + + >>> D = nx.DiGraph([(0, 1), (1, 2), (2, 3)]) + >>> din = list(d for n, d in D.in_degree()) + >>> dout = list(d for n, d in D.out_degree()) + >>> din.append(1) + >>> dout[0] = 2 + >>> # We now expect an edge from node 0 to a new node, node 3. + ... D = nx.directed_configuration_model(din, dout) + + The returned graph is a directed multigraph, which may have parallel + edges. To remove any parallel edges from the returned graph: + + >>> D = nx.DiGraph(D) + + Similarly, to remove self-loops: + + >>> D.remove_edges_from(nx.selfloop_edges(D)) + + """ + if sum(in_degree_sequence) != sum(out_degree_sequence): + msg = "Invalid degree sequences: sequences must have equal sums" + raise nx.NetworkXError(msg) + + if create_using is None: + create_using = nx.MultiDiGraph + + G = _configuration_model( + out_degree_sequence, + create_using, + directed=True, + in_deg_sequence=in_degree_sequence, + seed=seed, + ) + + name = "directed configuration_model {} nodes {} edges" + return G + + +@py_random_state(1) +@nx._dispatchable(graphs=None, returns_graph=True) +def expected_degree_graph(w, seed=None, selfloops=True): + r"""Returns a random graph with given expected degrees. + + Given a sequence of expected degrees $W=(w_0,w_1,\ldots,w_{n-1})$ + of length $n$ this algorithm assigns an edge between node $u$ and + node $v$ with probability + + .. math:: + + p_{uv} = \frac{w_u w_v}{\sum_k w_k} . + + Parameters + ---------- + w : list + The list of expected degrees. + selfloops: bool (default=True) + Set to False to remove the possibility of self-loop edges. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + Graph + + Examples + -------- + >>> z = [10 for i in range(100)] + >>> G = nx.expected_degree_graph(z) + + Notes + ----- + The nodes have integer labels corresponding to index of expected degrees + input sequence. + + The complexity of this algorithm is $\mathcal{O}(n+m)$ where $n$ is the + number of nodes and $m$ is the expected number of edges. + + The model in [1]_ includes the possibility of self-loop edges. + Set selfloops=False to produce a graph without self loops. + + For finite graphs this model doesn't produce exactly the given + expected degree sequence. Instead the expected degrees are as + follows. + + For the case without self loops (selfloops=False), + + .. math:: + + E[deg(u)] = \sum_{v \ne u} p_{uv} + = w_u \left( 1 - \frac{w_u}{\sum_k w_k} \right) . + + + NetworkX uses the standard convention that a self-loop edge counts 2 + in the degree of a node, so with self loops (selfloops=True), + + .. math:: + + E[deg(u)] = \sum_{v \ne u} p_{uv} + 2 p_{uu} + = w_u \left( 1 + \frac{w_u}{\sum_k w_k} \right) . + + References + ---------- + .. [1] Fan Chung and L. Lu, Connected components in random graphs with + given expected degree sequences, Ann. Combinatorics, 6, + pp. 125-145, 2002. + .. [2] Joel Miller and Aric Hagberg, + Efficient generation of networks with given expected degrees, + in Algorithms and Models for the Web-Graph (WAW 2011), + Alan Frieze, Paul Horn, and Paweł Prałat (Eds), LNCS 6732, + pp. 115-126, 2011. + """ + n = len(w) + G = nx.empty_graph(n) + + # If there are no nodes are no edges in the graph, return the empty graph. + if n == 0 or max(w) == 0: + return G + + rho = 1 / sum(w) + # Sort the weights in decreasing order. The original order of the + # weights dictates the order of the (integer) node labels, so we + # need to remember the permutation applied in the sorting. + order = sorted(enumerate(w), key=itemgetter(1), reverse=True) + mapping = {c: u for c, (u, v) in enumerate(order)} + seq = [v for u, v in order] + last = n + if not selfloops: + last -= 1 + for u in range(last): + v = u + if not selfloops: + v += 1 + factor = seq[u] * rho + p = min(seq[v] * factor, 1) + while v < n and p > 0: + if p != 1: + r = seed.random() + v += math.floor(math.log(r, 1 - p)) + if v < n: + q = min(seq[v] * factor, 1) + if seed.random() < q / p: + G.add_edge(mapping[u], mapping[v]) + v += 1 + p = q + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def havel_hakimi_graph(deg_sequence, create_using=None): + """Returns a simple graph with given degree sequence constructed + using the Havel-Hakimi algorithm. + + Parameters + ---------- + deg_sequence: list of integers + Each integer corresponds to the degree of a node (need not be sorted). + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Directed graphs are not allowed. + + Raises + ------ + NetworkXException + For a non-graphical degree sequence (i.e. one + not realizable by some simple graph). + + Notes + ----- + The Havel-Hakimi algorithm constructs a simple graph by + successively connecting the node of highest degree to other nodes + of highest degree, resorting remaining nodes by degree, and + repeating the process. The resulting graph has a high + degree-associativity. Nodes are labeled 1,.., len(deg_sequence), + corresponding to their position in deg_sequence. + + The basic algorithm is from Hakimi [1]_ and was generalized by + Kleitman and Wang [2]_. + + References + ---------- + .. [1] Hakimi S., On Realizability of a Set of Integers as + Degrees of the Vertices of a Linear Graph. I, + Journal of SIAM, 10(3), pp. 496-506 (1962) + .. [2] Kleitman D.J. and Wang D.L. + Algorithms for Constructing Graphs and Digraphs with Given Valences + and Factors Discrete Mathematics, 6(1), pp. 79-88 (1973) + """ + if not nx.is_graphical(deg_sequence): + raise nx.NetworkXError("Invalid degree sequence") + + p = len(deg_sequence) + G = nx.empty_graph(p, create_using) + if G.is_directed(): + raise nx.NetworkXError("Directed graphs are not supported") + num_degs = [[] for i in range(p)] + dmax, dsum, n = 0, 0, 0 + for d in deg_sequence: + # Process only the non-zero integers + if d > 0: + num_degs[d].append(n) + dmax, dsum, n = max(dmax, d), dsum + d, n + 1 + # Return graph if no edges + if n == 0: + return G + + modstubs = [(0, 0)] * (dmax + 1) + # Successively reduce degree sequence by removing the maximum degree + while n > 0: + # Retrieve the maximum degree in the sequence + while len(num_degs[dmax]) == 0: + dmax -= 1 + # If there are not enough stubs to connect to, then the sequence is + # not graphical + if dmax > n - 1: + raise nx.NetworkXError("Non-graphical integer sequence") + + # Remove largest stub in list + source = num_degs[dmax].pop() + n -= 1 + # Reduce the next dmax largest stubs + mslen = 0 + k = dmax + for i in range(dmax): + while len(num_degs[k]) == 0: + k -= 1 + target = num_degs[k].pop() + G.add_edge(source, target) + n -= 1 + if k > 1: + modstubs[mslen] = (k - 1, target) + mslen += 1 + # Add back to the list any nonzero stubs that were removed + for i in range(mslen): + (stubval, stubtarget) = modstubs[i] + num_degs[stubval].append(stubtarget) + n += 1 + + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def directed_havel_hakimi_graph(in_deg_sequence, out_deg_sequence, create_using=None): + """Returns a directed graph with the given degree sequences. + + Parameters + ---------- + in_deg_sequence : list of integers + Each list entry corresponds to the in-degree of a node. + out_deg_sequence : list of integers + Each list entry corresponds to the out-degree of a node. + create_using : NetworkX graph constructor, optional (default DiGraph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : DiGraph + A graph with the specified degree sequences. + Nodes are labeled starting at 0 with an index + corresponding to the position in deg_sequence + + Raises + ------ + NetworkXError + If the degree sequences are not digraphical. + + See Also + -------- + configuration_model + + Notes + ----- + Algorithm as described by Kleitman and Wang [1]_. + + References + ---------- + .. [1] D.J. Kleitman and D.L. Wang + Algorithms for Constructing Graphs and Digraphs with Given Valences + and Factors Discrete Mathematics, 6(1), pp. 79-88 (1973) + """ + in_deg_sequence = nx.utils.make_list_of_ints(in_deg_sequence) + out_deg_sequence = nx.utils.make_list_of_ints(out_deg_sequence) + + # Process the sequences and form two heaps to store degree pairs with + # either zero or nonzero out degrees + sumin, sumout = 0, 0 + nin, nout = len(in_deg_sequence), len(out_deg_sequence) + maxn = max(nin, nout) + G = nx.empty_graph(maxn, create_using, default=nx.DiGraph) + if maxn == 0: + return G + maxin = 0 + stubheap, zeroheap = [], [] + for n in range(maxn): + in_deg, out_deg = 0, 0 + if n < nout: + out_deg = out_deg_sequence[n] + if n < nin: + in_deg = in_deg_sequence[n] + if in_deg < 0 or out_deg < 0: + raise nx.NetworkXError( + "Invalid degree sequences. Sequence values must be positive." + ) + sumin, sumout, maxin = sumin + in_deg, sumout + out_deg, max(maxin, in_deg) + if in_deg > 0: + stubheap.append((-1 * out_deg, -1 * in_deg, n)) + elif out_deg > 0: + zeroheap.append((-1 * out_deg, n)) + if sumin != sumout: + raise nx.NetworkXError( + "Invalid degree sequences. Sequences must have equal sums." + ) + heapq.heapify(stubheap) + heapq.heapify(zeroheap) + + modstubs = [(0, 0, 0)] * (maxin + 1) + # Successively reduce degree sequence by removing the maximum + while stubheap: + # Remove first value in the sequence with a non-zero in degree + (freeout, freein, target) = heapq.heappop(stubheap) + freein *= -1 + if freein > len(stubheap) + len(zeroheap): + raise nx.NetworkXError("Non-digraphical integer sequence") + + # Attach arcs from the nodes with the most stubs + mslen = 0 + for i in range(freein): + if zeroheap and (not stubheap or stubheap[0][0] > zeroheap[0][0]): + (stubout, stubsource) = heapq.heappop(zeroheap) + stubin = 0 + else: + (stubout, stubin, stubsource) = heapq.heappop(stubheap) + if stubout == 0: + raise nx.NetworkXError("Non-digraphical integer sequence") + G.add_edge(stubsource, target) + # Check if source is now totally connected + if stubout + 1 < 0 or stubin < 0: + modstubs[mslen] = (stubout + 1, stubin, stubsource) + mslen += 1 + + # Add the nodes back to the heaps that still have available stubs + for i in range(mslen): + stub = modstubs[i] + if stub[1] < 0: + heapq.heappush(stubheap, stub) + else: + heapq.heappush(zeroheap, (stub[0], stub[2])) + if freeout < 0: + heapq.heappush(zeroheap, (freeout, target)) + + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def degree_sequence_tree(deg_sequence, create_using=None): + """Make a tree for the given degree sequence. + + A tree has #nodes-#edges=1 so + the degree sequence must have + len(deg_sequence)-sum(deg_sequence)/2=1 + """ + # The sum of the degree sequence must be even (for any undirected graph). + degree_sum = sum(deg_sequence) + if degree_sum % 2 != 0: + msg = "Invalid degree sequence: sum of degrees must be even, not odd" + raise nx.NetworkXError(msg) + if len(deg_sequence) - degree_sum // 2 != 1: + msg = ( + "Invalid degree sequence: tree must have number of nodes equal" + " to one less than the number of edges" + ) + raise nx.NetworkXError(msg) + G = nx.empty_graph(0, create_using) + if G.is_directed(): + raise nx.NetworkXError("Directed Graph not supported") + + # Sort all degrees greater than 1 in decreasing order. + # + # TODO Does this need to be sorted in reverse order? + deg = sorted((s for s in deg_sequence if s > 1), reverse=True) + + # make path graph as backbone + n = len(deg) + 2 + nx.add_path(G, range(n)) + last = n + + # add the leaves + for source in range(1, n - 1): + nedges = deg.pop() - 2 + for target in range(last, last + nedges): + G.add_edge(source, target) + last += nedges + + # in case we added one too many + if len(G) > len(deg_sequence): + G.remove_node(0) + return G + + +@py_random_state(1) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_degree_sequence_graph(sequence, seed=None, tries=10): + r"""Returns a simple random graph with the given degree sequence. + + If the maximum degree $d_m$ in the sequence is $O(m^{1/4})$ then the + algorithm produces almost uniform random graphs in $O(m d_m)$ time + where $m$ is the number of edges. + + Parameters + ---------- + sequence : list of integers + Sequence of degrees + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + tries : int, optional + Maximum number of tries to create a graph + + Returns + ------- + G : Graph + A graph with the specified degree sequence. + Nodes are labeled starting at 0 with an index + corresponding to the position in the sequence. + + Raises + ------ + NetworkXUnfeasible + If the degree sequence is not graphical. + NetworkXError + If a graph is not produced in specified number of tries + + See Also + -------- + is_graphical, configuration_model + + Notes + ----- + The generator algorithm [1]_ is not guaranteed to produce a graph. + + References + ---------- + .. [1] Moshen Bayati, Jeong Han Kim, and Amin Saberi, + A sequential algorithm for generating random graphs. + Algorithmica, Volume 58, Number 4, 860-910, + DOI: 10.1007/s00453-009-9340-1 + + Examples + -------- + >>> sequence = [1, 2, 2, 3] + >>> G = nx.random_degree_sequence_graph(sequence, seed=42) + >>> sorted(d for n, d in G.degree()) + [1, 2, 2, 3] + """ + DSRG = DegreeSequenceRandomGraph(sequence, seed) + for try_n in range(tries): + try: + return DSRG.generate() + except nx.NetworkXUnfeasible: + pass + raise nx.NetworkXError(f"failed to generate graph in {tries} tries") + + +class DegreeSequenceRandomGraph: + # class to generate random graphs with a given degree sequence + # use random_degree_sequence_graph() + def __init__(self, degree, rng): + if not nx.is_graphical(degree): + raise nx.NetworkXUnfeasible("degree sequence is not graphical") + self.rng = rng + self.degree = list(degree) + # node labels are integers 0,...,n-1 + self.m = sum(self.degree) / 2.0 # number of edges + try: + self.dmax = max(self.degree) # maximum degree + except ValueError: + self.dmax = 0 + + def generate(self): + # remaining_degree is mapping from int->remaining degree + self.remaining_degree = dict(enumerate(self.degree)) + # add all nodes to make sure we get isolated nodes + self.graph = nx.Graph() + self.graph.add_nodes_from(self.remaining_degree) + # remove zero degree nodes + for n, d in list(self.remaining_degree.items()): + if d == 0: + del self.remaining_degree[n] + if len(self.remaining_degree) > 0: + # build graph in three phases according to how many unmatched edges + self.phase1() + self.phase2() + self.phase3() + return self.graph + + def update_remaining(self, u, v, aux_graph=None): + # decrement remaining nodes, modify auxiliary graph if in phase3 + if aux_graph is not None: + # remove edges from auxiliary graph + aux_graph.remove_edge(u, v) + if self.remaining_degree[u] == 1: + del self.remaining_degree[u] + if aux_graph is not None: + aux_graph.remove_node(u) + else: + self.remaining_degree[u] -= 1 + if self.remaining_degree[v] == 1: + del self.remaining_degree[v] + if aux_graph is not None: + aux_graph.remove_node(v) + else: + self.remaining_degree[v] -= 1 + + def p(self, u, v): + # degree probability + return 1 - self.degree[u] * self.degree[v] / (4.0 * self.m) + + def q(self, u, v): + # remaining degree probability + norm = max(self.remaining_degree.values()) ** 2 + return self.remaining_degree[u] * self.remaining_degree[v] / norm + + def suitable_edge(self): + """Returns True if and only if an arbitrary remaining node can + potentially be joined with some other remaining node. + + """ + nodes = iter(self.remaining_degree) + u = next(nodes) + return any(v not in self.graph[u] for v in nodes) + + def phase1(self): + # choose node pairs from (degree) weighted distribution + rem_deg = self.remaining_degree + while sum(rem_deg.values()) >= 2 * self.dmax**2: + u, v = sorted(random_weighted_sample(rem_deg, 2, self.rng)) + if self.graph.has_edge(u, v): + continue + if self.rng.random() < self.p(u, v): # accept edge + self.graph.add_edge(u, v) + self.update_remaining(u, v) + + def phase2(self): + # choose remaining nodes uniformly at random and use rejection sampling + remaining_deg = self.remaining_degree + rng = self.rng + while len(remaining_deg) >= 2 * self.dmax: + while True: + u, v = sorted(rng.sample(list(remaining_deg.keys()), 2)) + if self.graph.has_edge(u, v): + continue + if rng.random() < self.q(u, v): + break + if rng.random() < self.p(u, v): # accept edge + self.graph.add_edge(u, v) + self.update_remaining(u, v) + + def phase3(self): + # build potential remaining edges and choose with rejection sampling + potential_edges = combinations(self.remaining_degree, 2) + # build auxiliary graph of potential edges not already in graph + H = nx.Graph( + [(u, v) for (u, v) in potential_edges if not self.graph.has_edge(u, v)] + ) + rng = self.rng + while self.remaining_degree: + if not self.suitable_edge(): + raise nx.NetworkXUnfeasible("no suitable edges left") + while True: + u, v = sorted(rng.choice(list(H.edges()))) + if rng.random() < self.q(u, v): + break + if rng.random() < self.p(u, v): # accept edge + self.graph.add_edge(u, v) + self.update_remaining(u, v, aux_graph=H) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/directed.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/directed.py new file mode 100644 index 0000000000000000000000000000000000000000..4548726b9fe2cbcb1210750db36a0a5e460f96c1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/directed.py @@ -0,0 +1,501 @@ +""" +Generators for some directed graphs, including growing network (GN) graphs and +scale-free graphs. + +""" + +import numbers +from collections import Counter + +import networkx as nx +from networkx.generators.classic import empty_graph +from networkx.utils import discrete_sequence, py_random_state, weighted_choice + +__all__ = [ + "gn_graph", + "gnc_graph", + "gnr_graph", + "random_k_out_graph", + "scale_free_graph", +] + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def gn_graph(n, kernel=None, create_using=None, seed=None): + """Returns the growing network (GN) digraph with `n` nodes. + + The GN graph is built by adding nodes one at a time with a link to one + previously added node. The target node for the link is chosen with + probability based on degree. The default attachment kernel is a linear + function of the degree of a node. + + The graph is always a (directed) tree. + + Parameters + ---------- + n : int + The number of nodes for the generated graph. + kernel : function + The attachment kernel. + create_using : NetworkX graph constructor, optional (default DiGraph) + Graph type to create. If graph instance, then cleared before populated. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Examples + -------- + To create the undirected GN graph, use the :meth:`~DiGraph.to_directed` + method:: + + >>> D = nx.gn_graph(10) # the GN graph + >>> G = D.to_undirected() # the undirected version + + To specify an attachment kernel, use the `kernel` keyword argument:: + + >>> D = nx.gn_graph(10, kernel=lambda x: x**1.5) # A_k = k^1.5 + + References + ---------- + .. [1] P. L. Krapivsky and S. Redner, + Organization of Growing Random Networks, + Phys. Rev. E, 63, 066123, 2001. + """ + G = empty_graph(1, create_using, default=nx.DiGraph) + if not G.is_directed(): + raise nx.NetworkXError("create_using must indicate a Directed Graph") + + if kernel is None: + + def kernel(x): + return x + + if n == 1: + return G + + G.add_edge(1, 0) # get started + ds = [1, 1] # degree sequence + + for source in range(2, n): + # compute distribution from kernel and degree + dist = [kernel(d) for d in ds] + # choose target from discrete distribution + target = discrete_sequence(1, distribution=dist, seed=seed)[0] + G.add_edge(source, target) + ds.append(1) # the source has only one link (degree one) + ds[target] += 1 # add one to the target link degree + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def gnr_graph(n, p, create_using=None, seed=None): + """Returns the growing network with redirection (GNR) digraph with `n` + nodes and redirection probability `p`. + + The GNR graph is built by adding nodes one at a time with a link to one + previously added node. The previous target node is chosen uniformly at + random. With probability `p` the link is instead "redirected" to the + successor node of the target. + + The graph is always a (directed) tree. + + Parameters + ---------- + n : int + The number of nodes for the generated graph. + p : float + The redirection probability. + create_using : NetworkX graph constructor, optional (default DiGraph) + Graph type to create. If graph instance, then cleared before populated. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Examples + -------- + To create the undirected GNR graph, use the :meth:`~DiGraph.to_directed` + method:: + + >>> D = nx.gnr_graph(10, 0.5) # the GNR graph + >>> G = D.to_undirected() # the undirected version + + References + ---------- + .. [1] P. L. Krapivsky and S. Redner, + Organization of Growing Random Networks, + Phys. Rev. E, 63, 066123, 2001. + """ + G = empty_graph(1, create_using, default=nx.DiGraph) + if not G.is_directed(): + raise nx.NetworkXError("create_using must indicate a Directed Graph") + + if n == 1: + return G + + for source in range(1, n): + target = seed.randrange(0, source) + if seed.random() < p and target != 0: + target = next(G.successors(target)) + G.add_edge(source, target) + return G + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def gnc_graph(n, create_using=None, seed=None): + """Returns the growing network with copying (GNC) digraph with `n` nodes. + + The GNC graph is built by adding nodes one at a time with a link to one + previously added node (chosen uniformly at random) and to all of that + node's successors. + + Parameters + ---------- + n : int + The number of nodes for the generated graph. + create_using : NetworkX graph constructor, optional (default DiGraph) + Graph type to create. If graph instance, then cleared before populated. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + References + ---------- + .. [1] P. L. Krapivsky and S. Redner, + Network Growth by Copying, + Phys. Rev. E, 71, 036118, 2005k.}, + """ + G = empty_graph(1, create_using, default=nx.DiGraph) + if not G.is_directed(): + raise nx.NetworkXError("create_using must indicate a Directed Graph") + + if n == 1: + return G + + for source in range(1, n): + target = seed.randrange(0, source) + for succ in G.successors(target): + G.add_edge(source, succ) + G.add_edge(source, target) + return G + + +@py_random_state(6) +@nx._dispatchable(graphs=None, returns_graph=True) +def scale_free_graph( + n, + alpha=0.41, + beta=0.54, + gamma=0.05, + delta_in=0.2, + delta_out=0, + seed=None, + initial_graph=None, +): + """Returns a scale-free directed graph. + + Parameters + ---------- + n : integer + Number of nodes in graph + alpha : float + Probability for adding a new node connected to an existing node + chosen randomly according to the in-degree distribution. + beta : float + Probability for adding an edge between two existing nodes. + One existing node is chosen randomly according the in-degree + distribution and the other chosen randomly according to the out-degree + distribution. + gamma : float + Probability for adding a new node connected to an existing node + chosen randomly according to the out-degree distribution. + delta_in : float + Bias for choosing nodes from in-degree distribution. + delta_out : float + Bias for choosing nodes from out-degree distribution. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + initial_graph : MultiDiGraph instance, optional + Build the scale-free graph starting from this initial MultiDiGraph, + if provided. + + Returns + ------- + MultiDiGraph + + Examples + -------- + Create a scale-free graph on one hundred nodes:: + + >>> G = nx.scale_free_graph(100) + + Notes + ----- + The sum of `alpha`, `beta`, and `gamma` must be 1. + + References + ---------- + .. [1] B. Bollobás, C. Borgs, J. Chayes, and O. Riordan, + Directed scale-free graphs, + Proceedings of the fourteenth annual ACM-SIAM Symposium on + Discrete Algorithms, 132--139, 2003. + """ + + def _choose_node(candidates, node_list, delta): + if delta > 0: + bias_sum = len(node_list) * delta + p_delta = bias_sum / (bias_sum + len(candidates)) + if seed.random() < p_delta: + return seed.choice(node_list) + return seed.choice(candidates) + + if initial_graph is not None and hasattr(initial_graph, "_adj"): + if not isinstance(initial_graph, nx.MultiDiGraph): + raise nx.NetworkXError("initial_graph must be a MultiDiGraph.") + G = initial_graph + else: + # Start with 3-cycle + G = nx.MultiDiGraph([(0, 1), (1, 2), (2, 0)]) + + if alpha <= 0: + raise ValueError("alpha must be > 0.") + if beta <= 0: + raise ValueError("beta must be > 0.") + if gamma <= 0: + raise ValueError("gamma must be > 0.") + + if abs(alpha + beta + gamma - 1.0) >= 1e-9: + raise ValueError("alpha+beta+gamma must equal 1.") + + if delta_in < 0: + raise ValueError("delta_in must be >= 0.") + + if delta_out < 0: + raise ValueError("delta_out must be >= 0.") + + # pre-populate degree states + vs = sum((count * [idx] for idx, count in G.out_degree()), []) + ws = sum((count * [idx] for idx, count in G.in_degree()), []) + + # pre-populate node state + node_list = list(G.nodes()) + + # see if there already are number-based nodes + numeric_nodes = [n for n in node_list if isinstance(n, numbers.Number)] + if len(numeric_nodes) > 0: + # set cursor for new nodes appropriately + cursor = max(int(n.real) for n in numeric_nodes) + 1 + else: + # or start at zero + cursor = 0 + + while len(G) < n: + r = seed.random() + + # random choice in alpha,beta,gamma ranges + if r < alpha: + # alpha + # add new node v + v = cursor + cursor += 1 + # also add to node state + node_list.append(v) + # choose w according to in-degree and delta_in + w = _choose_node(ws, node_list, delta_in) + + elif r < alpha + beta: + # beta + # choose v according to out-degree and delta_out + v = _choose_node(vs, node_list, delta_out) + # choose w according to in-degree and delta_in + w = _choose_node(ws, node_list, delta_in) + + else: + # gamma + # choose v according to out-degree and delta_out + v = _choose_node(vs, node_list, delta_out) + # add new node w + w = cursor + cursor += 1 + # also add to node state + node_list.append(w) + + # add edge to graph + G.add_edge(v, w) + + # update degree states + vs.append(v) + ws.append(w) + + return G + + +@py_random_state(4) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_uniform_k_out_graph(n, k, self_loops=True, with_replacement=True, seed=None): + """Returns a random `k`-out graph with uniform attachment. + + A random `k`-out graph with uniform attachment is a multidigraph + generated by the following algorithm. For each node *u*, choose + `k` nodes *v* uniformly at random (with replacement). Add a + directed edge joining *u* to *v*. + + Parameters + ---------- + n : int + The number of nodes in the returned graph. + + k : int + The out-degree of each node in the returned graph. + + self_loops : bool + If True, self-loops are allowed when generating the graph. + + with_replacement : bool + If True, neighbors are chosen with replacement and the + returned graph will be a directed multigraph. Otherwise, + neighbors are chosen without replacement and the returned graph + will be a directed graph. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + NetworkX graph + A `k`-out-regular directed graph generated according to the + above algorithm. It will be a multigraph if and only if + `with_replacement` is True. + + Raises + ------ + ValueError + If `with_replacement` is False and `k` is greater than + `n`. + + See also + -------- + random_k_out_graph + + Notes + ----- + The return digraph or multidigraph may not be strongly connected, or + even weakly connected. + + If `with_replacement` is True, this function is similar to + :func:`random_k_out_graph`, if that function had parameter `alpha` + set to positive infinity. + + """ + if with_replacement: + create_using = nx.MultiDiGraph() + + def sample(v, nodes): + if not self_loops: + nodes = nodes - {v} + return (seed.choice(list(nodes)) for i in range(k)) + + else: + create_using = nx.DiGraph() + + def sample(v, nodes): + if not self_loops: + nodes = nodes - {v} + return seed.sample(list(nodes), k) + + G = nx.empty_graph(n, create_using) + nodes = set(G) + for u in G: + G.add_edges_from((u, v) for v in sample(u, nodes)) + return G + + +@py_random_state(4) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_k_out_graph(n, k, alpha, self_loops=True, seed=None): + """Returns a random `k`-out graph with preferential attachment. + + A random `k`-out graph with preferential attachment is a + multidigraph generated by the following algorithm. + + 1. Begin with an empty digraph, and initially set each node to have + weight `alpha`. + 2. Choose a node `u` with out-degree less than `k` uniformly at + random. + 3. Choose a node `v` from with probability proportional to its + weight. + 4. Add a directed edge from `u` to `v`, and increase the weight + of `v` by one. + 5. If each node has out-degree `k`, halt, otherwise repeat from + step 2. + + For more information on this model of random graph, see [1]. + + Parameters + ---------- + n : int + The number of nodes in the returned graph. + + k : int + The out-degree of each node in the returned graph. + + alpha : float + A positive :class:`float` representing the initial weight of + each vertex. A higher number means that in step 3 above, nodes + will be chosen more like a true uniformly random sample, and a + lower number means that nodes are more likely to be chosen as + their in-degree increases. If this parameter is not positive, a + :exc:`ValueError` is raised. + + self_loops : bool + If True, self-loops are allowed when generating the graph. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + :class:`~networkx.classes.MultiDiGraph` + A `k`-out-regular multidigraph generated according to the above + algorithm. + + Raises + ------ + ValueError + If `alpha` is not positive. + + Notes + ----- + The returned multidigraph may not be strongly connected, or even + weakly connected. + + References + ---------- + [1]: Peterson, Nicholas R., and Boris Pittel. + "Distance between two random `k`-out digraphs, with and without + preferential attachment." + arXiv preprint arXiv:1311.5961 (2013). + + + """ + if alpha < 0: + raise ValueError("alpha must be positive") + G = nx.empty_graph(n, create_using=nx.MultiDiGraph) + weights = Counter({v: alpha for v in G}) + for i in range(k * n): + u = seed.choice([v for v, d in G.out_degree() if d < k]) + # If self-loops are not allowed, make the source node `u` have + # weight zero. + if not self_loops: + adjustment = Counter({u: weights[u]}) + else: + adjustment = Counter() + v = weighted_choice(weights - adjustment, seed=seed) + G.add_edge(u, v) + weights[v] += 1 + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/duplication.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/duplication.py new file mode 100644 index 0000000000000000000000000000000000000000..3c3ade63f58237eeb927ff631b25f025d7d83fc1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/duplication.py @@ -0,0 +1,174 @@ +"""Functions for generating graphs based on the "duplication" method. + +These graph generators start with a small initial graph then duplicate +nodes and (partially) duplicate their edges. These functions are +generally inspired by biological networks. + +""" + +import networkx as nx +from networkx.exception import NetworkXError +from networkx.utils import py_random_state +from networkx.utils.misc import check_create_using + +__all__ = ["partial_duplication_graph", "duplication_divergence_graph"] + + +@py_random_state(4) +@nx._dispatchable(graphs=None, returns_graph=True) +def partial_duplication_graph(N, n, p, q, seed=None, *, create_using=None): + """Returns a random graph using the partial duplication model. + + Parameters + ---------- + N : int + The total number of nodes in the final graph. + + n : int + The number of nodes in the initial clique. + + p : float + The probability of joining each neighbor of a node to the + duplicate node. Must be a number in the between zero and one, + inclusive. + + q : float + The probability of joining the source node to the duplicate + node. Must be a number in the between zero and one, inclusive. + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Notes + ----- + A graph of nodes is grown by creating a fully connected graph + of size `n`. The following procedure is then repeated until + a total of `N` nodes have been reached. + + 1. A random node, *u*, is picked and a new node, *v*, is created. + 2. For each neighbor of *u* an edge from the neighbor to *v* is created + with probability `p`. + 3. An edge from *u* to *v* is created with probability `q`. + + This algorithm appears in [1]. + + This implementation allows the possibility of generating + disconnected graphs. + + References + ---------- + .. [1] Knudsen Michael, and Carsten Wiuf. "A Markov chain approach to + randomly grown graphs." Journal of Applied Mathematics 2008. + + + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if p < 0 or p > 1 or q < 0 or q > 1: + msg = "partial duplication graph must have 0 <= p, q <= 1." + raise NetworkXError(msg) + if n > N: + raise NetworkXError("partial duplication graph must have n <= N.") + + G = nx.complete_graph(n, create_using) + for new_node in range(n, N): + # Pick a random vertex, u, already in the graph. + src_node = seed.randint(0, new_node - 1) + + # Add a new vertex, v, to the graph. + G.add_node(new_node) + + # For each neighbor of u... + for nbr_node in list(nx.all_neighbors(G, src_node)): + # Add the neighbor to v with probability p. + if seed.random() < p: + G.add_edge(new_node, nbr_node) + + # Join v and u with probability q. + if seed.random() < q: + G.add_edge(new_node, src_node) + return G + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def duplication_divergence_graph(n, p, seed=None, *, create_using=None): + """Returns an undirected graph using the duplication-divergence model. + + A graph of `n` nodes is created by duplicating the initial nodes + and retaining edges incident to the original nodes with a retention + probability `p`. + + Parameters + ---------- + n : int + The desired number of nodes in the graph. + p : float + The probability for retaining the edge of the replicated node. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Returns + ------- + G : Graph + + Raises + ------ + NetworkXError + If `p` is not a valid probability. + If `n` is less than 2. + + Notes + ----- + This algorithm appears in [1]. + + This implementation disallows the possibility of generating + disconnected graphs. + + References + ---------- + .. [1] I. Ispolatov, P. L. Krapivsky, A. Yuryev, + "Duplication-divergence model of protein interaction network", + Phys. Rev. E, 71, 061911, 2005. + + """ + if p > 1 or p < 0: + msg = f"NetworkXError p={p} is not in [0,1]." + raise nx.NetworkXError(msg) + if n < 2: + msg = "n must be greater than or equal to 2" + raise nx.NetworkXError(msg) + + create_using = check_create_using(create_using, directed=False, multigraph=False) + G = nx.empty_graph(create_using=create_using) + + # Initialize the graph with two connected nodes. + G.add_edge(0, 1) + i = 2 + while i < n: + # Choose a random node from current graph to duplicate. + random_node = seed.choice(list(G)) + # Make the replica. + G.add_node(i) + # flag indicates whether at least one edge is connected on the replica. + flag = False + for nbr in G.neighbors(random_node): + if seed.random() < p: + # Link retention step. + G.add_edge(i, nbr) + flag = True + if not flag: + # Delete replica if no edges retained. + G.remove_node(i) + else: + # Successful duplication. + i += 1 + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/ego.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/ego.py new file mode 100644 index 0000000000000000000000000000000000000000..1c705430d8b52cf47d1e1b681397c929221e58a0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/ego.py @@ -0,0 +1,66 @@ +""" +Ego graph. +""" + +__all__ = ["ego_graph"] + +import networkx as nx + + +@nx._dispatchable(preserve_all_attrs=True, returns_graph=True) +def ego_graph(G, n, radius=1, center=True, undirected=False, distance=None): + """Returns induced subgraph of neighbors centered at node n within + a given radius. + + Parameters + ---------- + G : graph + A NetworkX Graph or DiGraph + + n : node + A single node + + radius : number, optional + Include all neighbors of distance<=radius from n. + + center : bool, optional + If False, do not include center node in graph + + undirected : bool, optional + If True use both in- and out-neighbors of directed graphs. + + distance : key, optional + Use specified edge data key as distance. For example, setting + distance='weight' will use the edge weight to measure the + distance from the node n. + + Notes + ----- + For directed graphs D this produces the "out" neighborhood + or successors. If you want the neighborhood of predecessors + first reverse the graph with D.reverse(). If you want both + directions use the keyword argument undirected=True. + + Node, edge, and graph attributes are copied to the returned subgraph. + """ + if undirected: + if distance is not None: + sp, _ = nx.single_source_dijkstra( + G.to_undirected(), n, cutoff=radius, weight=distance + ) + else: + sp = dict( + nx.single_source_shortest_path_length( + G.to_undirected(), n, cutoff=radius + ) + ) + else: + if distance is not None: + sp, _ = nx.single_source_dijkstra(G, n, cutoff=radius, weight=distance) + else: + sp = dict(nx.single_source_shortest_path_length(G, n, cutoff=radius)) + + H = G.subgraph(sp).copy() + if not center: + H.remove_node(n) + return H diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/expanders.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/expanders.py new file mode 100644 index 0000000000000000000000000000000000000000..befdb0e4b0f3579a272491d8ea6b970716c57f6e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/expanders.py @@ -0,0 +1,474 @@ +"""Provides explicit constructions of expander graphs.""" + +import itertools + +import networkx as nx + +__all__ = [ + "margulis_gabber_galil_graph", + "chordal_cycle_graph", + "paley_graph", + "maybe_regular_expander", + "is_regular_expander", + "random_regular_expander_graph", +] + + +# Other discrete torus expanders can be constructed by using the following edge +# sets. For more information, see Chapter 4, "Expander Graphs", in +# "Pseudorandomness", by Salil Vadhan. +# +# For a directed expander, add edges from (x, y) to: +# +# (x, y), +# ((x + 1) % n, y), +# (x, (y + 1) % n), +# (x, (x + y) % n), +# (-y % n, x) +# +# For an undirected expander, add the reverse edges. +# +# Also appearing in the paper of Gabber and Galil: +# +# (x, y), +# (x, (x + y) % n), +# (x, (x + y + 1) % n), +# ((x + y) % n, y), +# ((x + y + 1) % n, y) +# +# and: +# +# (x, y), +# ((x + 2*y) % n, y), +# ((x + (2*y + 1)) % n, y), +# ((x + (2*y + 2)) % n, y), +# (x, (y + 2*x) % n), +# (x, (y + (2*x + 1)) % n), +# (x, (y + (2*x + 2)) % n), +# +@nx._dispatchable(graphs=None, returns_graph=True) +def margulis_gabber_galil_graph(n, create_using=None): + r"""Returns the Margulis-Gabber-Galil undirected MultiGraph on `n^2` nodes. + + The undirected MultiGraph is regular with degree `8`. Nodes are integer + pairs. The second-largest eigenvalue of the adjacency matrix of the graph + is at most `5 \sqrt{2}`, regardless of `n`. + + Parameters + ---------- + n : int + Determines the number of nodes in the graph: `n^2`. + create_using : NetworkX graph constructor, optional (default MultiGraph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : graph + The constructed undirected multigraph. + + Raises + ------ + NetworkXError + If the graph is directed or not a multigraph. + + """ + G = nx.empty_graph(0, create_using, default=nx.MultiGraph) + if G.is_directed() or not G.is_multigraph(): + msg = "`create_using` must be an undirected multigraph." + raise nx.NetworkXError(msg) + + for x, y in itertools.product(range(n), repeat=2): + for u, v in ( + ((x + 2 * y) % n, y), + ((x + (2 * y + 1)) % n, y), + (x, (y + 2 * x) % n), + (x, (y + (2 * x + 1)) % n), + ): + G.add_edge((x, y), (u, v)) + G.graph["name"] = f"margulis_gabber_galil_graph({n})" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def chordal_cycle_graph(p, create_using=None): + """Returns the chordal cycle graph on `p` nodes. + + The returned graph is a cycle graph on `p` nodes with chords joining each + vertex `x` to its inverse modulo `p`. This graph is a (mildly explicit) + 3-regular expander [1]_. + + `p` *must* be a prime number. + + Parameters + ---------- + p : a prime number + + The number of vertices in the graph. This also indicates where the + chordal edges in the cycle will be created. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : graph + The constructed undirected multigraph. + + Raises + ------ + NetworkXError + + If `create_using` indicates directed or not a multigraph. + + References + ---------- + + .. [1] Theorem 4.4.2 in A. Lubotzky. "Discrete groups, expanding graphs and + invariant measures", volume 125 of Progress in Mathematics. + Birkhäuser Verlag, Basel, 1994. + + """ + G = nx.empty_graph(0, create_using, default=nx.MultiGraph) + if G.is_directed() or not G.is_multigraph(): + msg = "`create_using` must be an undirected multigraph." + raise nx.NetworkXError(msg) + + for x in range(p): + left = (x - 1) % p + right = (x + 1) % p + # Here we apply Fermat's Little Theorem to compute the multiplicative + # inverse of x in Z/pZ. By Fermat's Little Theorem, + # + # x^p = x (mod p) + # + # Therefore, + # + # x * x^(p - 2) = 1 (mod p) + # + # The number 0 is a special case: we just let its inverse be itself. + chord = pow(x, p - 2, p) if x > 0 else 0 + for y in (left, right, chord): + G.add_edge(x, y) + G.graph["name"] = f"chordal_cycle_graph({p})" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def paley_graph(p, create_using=None): + r"""Returns the Paley $\frac{(p-1)}{2}$ -regular graph on $p$ nodes. + + The returned graph is a graph on $\mathbb{Z}/p\mathbb{Z}$ with edges between $x$ and $y$ + if and only if $x-y$ is a nonzero square in $\mathbb{Z}/p\mathbb{Z}$. + + If $p \equiv 1 \pmod 4$, $-1$ is a square in $\mathbb{Z}/p\mathbb{Z}$ and therefore $x-y$ is a square if and + only if $y-x$ is also a square, i.e the edges in the Paley graph are symmetric. + + If $p \equiv 3 \pmod 4$, $-1$ is not a square in $\mathbb{Z}/p\mathbb{Z}$ and therefore either $x-y$ or $y-x$ + is a square in $\mathbb{Z}/p\mathbb{Z}$ but not both. + + Note that a more general definition of Paley graphs extends this construction + to graphs over $q=p^n$ vertices, by using the finite field $F_q$ instead of $\mathbb{Z}/p\mathbb{Z}$. + This construction requires to compute squares in general finite fields and is + not what is implemented here (i.e `paley_graph(25)` does not return the true + Paley graph associated with $5^2$). + + Parameters + ---------- + p : int, an odd prime number. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : graph + The constructed directed graph. + + Raises + ------ + NetworkXError + If the graph is a multigraph. + + References + ---------- + Chapter 13 in B. Bollobas, Random Graphs. Second edition. + Cambridge Studies in Advanced Mathematics, 73. + Cambridge University Press, Cambridge (2001). + """ + G = nx.empty_graph(0, create_using, default=nx.DiGraph) + if G.is_multigraph(): + msg = "`create_using` cannot be a multigraph." + raise nx.NetworkXError(msg) + + # Compute the squares in Z/pZ. + # Make it a set to uniquify (there are exactly (p-1)/2 squares in Z/pZ + # when is prime). + square_set = {(x**2) % p for x in range(1, p) if (x**2) % p != 0} + + for x in range(p): + for x2 in square_set: + G.add_edge(x, (x + x2) % p) + G.graph["name"] = f"paley({p})" + return G + + +@nx.utils.decorators.np_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def maybe_regular_expander(n, d, *, create_using=None, max_tries=100, seed=None): + r"""Utility for creating a random regular expander. + + Returns a random $d$-regular graph on $n$ nodes which is an expander + graph with very good probability. + + Parameters + ---------- + n : int + The number of nodes. + d : int + The degree of each node. + create_using : Graph Instance or Constructor + Indicator of type of graph to return. + If a Graph-type instance, then clear and use it. + If a constructor, call it to create an empty graph. + Use the Graph constructor by default. + max_tries : int. (default: 100) + The number of allowed loops when generating each independent cycle + seed : (default: None) + Seed used to set random number generation state. See :ref`Randomness`. + + Notes + ----- + The nodes are numbered from $0$ to $n - 1$. + + The graph is generated by taking $d / 2$ random independent cycles. + + Joel Friedman proved that in this model the resulting + graph is an expander with probability + $1 - O(n^{-\tau})$ where $\tau = \lceil (\sqrt{d - 1}) / 2 \rceil - 1$. [1]_ + + Examples + -------- + >>> G = nx.maybe_regular_expander(n=200, d=6, seed=8020) + + Returns + ------- + G : graph + The constructed undirected graph. + + Raises + ------ + NetworkXError + If $d % 2 != 0$ as the degree must be even. + If $n - 1$ is less than $ 2d $ as the graph is complete at most. + If max_tries is reached + + See Also + -------- + is_regular_expander + random_regular_expander_graph + + References + ---------- + .. [1] Joel Friedman, + A Proof of Alon’s Second Eigenvalue Conjecture and Related Problems, 2004 + https://arxiv.org/abs/cs/0405020 + + """ + + import numpy as np + + if n < 1: + raise nx.NetworkXError("n must be a positive integer") + + if not (d >= 2): + raise nx.NetworkXError("d must be greater than or equal to 2") + + if not (d % 2 == 0): + raise nx.NetworkXError("d must be even") + + if not (n - 1 >= d): + raise nx.NetworkXError( + f"Need n-1>= d to have room for {d//2} independent cycles with {n} nodes" + ) + + G = nx.empty_graph(n, create_using) + + if n < 2: + return G + + cycles = [] + edges = set() + + # Create d / 2 cycles + for i in range(d // 2): + iterations = max_tries + # Make sure the cycles are independent to have a regular graph + while len(edges) != (i + 1) * n: + iterations -= 1 + # Faster than random.permutation(n) since there are only + # (n-1)! distinct cycles against n! permutations of size n + cycle = seed.permutation(n - 1).tolist() + cycle.append(n - 1) + + new_edges = { + (u, v) + for u, v in nx.utils.pairwise(cycle, cyclic=True) + if (u, v) not in edges and (v, u) not in edges + } + # If the new cycle has no edges in common with previous cycles + # then add it to the list otherwise try again + if len(new_edges) == n: + cycles.append(cycle) + edges.update(new_edges) + + if iterations == 0: + raise nx.NetworkXError("Too many iterations in maybe_regular_expander") + + G.add_edges_from(edges) + + return G + + +@nx.utils.not_implemented_for("directed") +@nx.utils.not_implemented_for("multigraph") +@nx._dispatchable(preserve_edge_attrs={"G": {"weight": 1}}) +def is_regular_expander(G, *, epsilon=0): + r"""Determines whether the graph G is a regular expander. [1]_ + + An expander graph is a sparse graph with strong connectivity properties. + + More precisely, this helper checks whether the graph is a + regular $(n, d, \lambda)$-expander with $\lambda$ close to + the Alon-Boppana bound and given by + $\lambda = 2 \sqrt{d - 1} + \epsilon$. [2]_ + + In the case where $\epsilon = 0$ then if the graph successfully passes the test + it is a Ramanujan graph. [3]_ + + A Ramanujan graph has spectral gap almost as large as possible, which makes them + excellent expanders. + + Parameters + ---------- + G : NetworkX graph + epsilon : int, float, default=0 + + Returns + ------- + bool + Whether the given graph is a regular $(n, d, \lambda)$-expander + where $\lambda = 2 \sqrt{d - 1} + \epsilon$. + + Examples + -------- + >>> G = nx.random_regular_expander_graph(20, 4) + >>> nx.is_regular_expander(G) + True + + See Also + -------- + maybe_regular_expander + random_regular_expander_graph + + References + ---------- + .. [1] Expander graph, https://en.wikipedia.org/wiki/Expander_graph + .. [2] Alon-Boppana bound, https://en.wikipedia.org/wiki/Alon%E2%80%93Boppana_bound + .. [3] Ramanujan graphs, https://en.wikipedia.org/wiki/Ramanujan_graph + + """ + + import numpy as np + from scipy.sparse.linalg import eigsh + + if epsilon < 0: + raise nx.NetworkXError("epsilon must be non negative") + + if not nx.is_regular(G): + return False + + _, d = nx.utils.arbitrary_element(G.degree) + + A = nx.adjacency_matrix(G, dtype=float) + lams = eigsh(A, which="LM", k=2, return_eigenvectors=False) + + # lambda2 is the second biggest eigenvalue + lambda2 = min(lams) + + # Use bool() to convert numpy scalar to Python Boolean + return bool(abs(lambda2) < 2 ** np.sqrt(d - 1) + epsilon) + + +@nx.utils.decorators.np_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def random_regular_expander_graph( + n, d, *, epsilon=0, create_using=None, max_tries=100, seed=None +): + r"""Returns a random regular expander graph on $n$ nodes with degree $d$. + + An expander graph is a sparse graph with strong connectivity properties. [1]_ + + More precisely the returned graph is a $(n, d, \lambda)$-expander with + $\lambda = 2 \sqrt{d - 1} + \epsilon$, close to the Alon-Boppana bound. [2]_ + + In the case where $\epsilon = 0$ it returns a Ramanujan graph. + A Ramanujan graph has spectral gap almost as large as possible, + which makes them excellent expanders. [3]_ + + Parameters + ---------- + n : int + The number of nodes. + d : int + The degree of each node. + epsilon : int, float, default=0 + max_tries : int, (default: 100) + The number of allowed loops, also used in the maybe_regular_expander utility + seed : (default: None) + Seed used to set random number generation state. See :ref`Randomness`. + + Raises + ------ + NetworkXError + If max_tries is reached + + Examples + -------- + >>> G = nx.random_regular_expander_graph(20, 4) + >>> nx.is_regular_expander(G) + True + + Notes + ----- + This loops over `maybe_regular_expander` and can be slow when + $n$ is too big or $\epsilon$ too small. + + See Also + -------- + maybe_regular_expander + is_regular_expander + + References + ---------- + .. [1] Expander graph, https://en.wikipedia.org/wiki/Expander_graph + .. [2] Alon-Boppana bound, https://en.wikipedia.org/wiki/Alon%E2%80%93Boppana_bound + .. [3] Ramanujan graphs, https://en.wikipedia.org/wiki/Ramanujan_graph + + """ + G = maybe_regular_expander( + n, d, create_using=create_using, max_tries=max_tries, seed=seed + ) + iterations = max_tries + + while not is_regular_expander(G, epsilon=epsilon): + iterations -= 1 + G = maybe_regular_expander( + n=n, d=d, create_using=create_using, max_tries=max_tries, seed=seed + ) + + if iterations == 0: + raise nx.NetworkXError( + "Too many iterations in random_regular_expander_graph" + ) + + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/geometric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/geometric.py new file mode 100644 index 0000000000000000000000000000000000000000..7f19281b81fd9d109565c005174b27513ce6ae02 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/geometric.py @@ -0,0 +1,1048 @@ +"""Generators for geometric graphs.""" + +import math +from bisect import bisect_left +from itertools import accumulate, combinations, product + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = [ + "geometric_edges", + "geographical_threshold_graph", + "navigable_small_world_graph", + "random_geometric_graph", + "soft_random_geometric_graph", + "thresholded_random_geometric_graph", + "waxman_graph", + "geometric_soft_configuration_graph", +] + + +@nx._dispatchable(node_attrs="pos_name") +def geometric_edges(G, radius, p=2, *, pos_name="pos"): + """Returns edge list of node pairs within `radius` of each other. + + Parameters + ---------- + G : networkx graph + The graph from which to generate the edge list. The nodes in `G` should + have an attribute ``pos`` corresponding to the node position, which is + used to compute the distance to other nodes. + radius : scalar + The distance threshold. Edges are included in the edge list if the + distance between the two nodes is less than `radius`. + pos_name : string, default="pos" + The name of the node attribute which represents the position of each + node in 2D coordinates. Every node in the Graph must have this attribute. + p : scalar, default=2 + The `Minkowski distance metric + `_ used to compute + distances. The default value is 2, i.e. Euclidean distance. + + Returns + ------- + edges : list + List of edges whose distances are less than `radius` + + Notes + ----- + Radius uses Minkowski distance metric `p`. + If scipy is available, `scipy.spatial.cKDTree` is used to speed computation. + + Examples + -------- + Create a graph with nodes that have a "pos" attribute representing 2D + coordinates. + + >>> G = nx.Graph() + >>> G.add_nodes_from( + ... [ + ... (0, {"pos": (0, 0)}), + ... (1, {"pos": (3, 0)}), + ... (2, {"pos": (8, 0)}), + ... ] + ... ) + >>> nx.geometric_edges(G, radius=1) + [] + >>> nx.geometric_edges(G, radius=4) + [(0, 1)] + >>> nx.geometric_edges(G, radius=6) + [(0, 1), (1, 2)] + >>> nx.geometric_edges(G, radius=9) + [(0, 1), (0, 2), (1, 2)] + """ + # Input validation - every node must have a "pos" attribute + for n, pos in G.nodes(data=pos_name): + if pos is None: + raise nx.NetworkXError( + f"Node {n} (and all nodes) must have a '{pos_name}' attribute." + ) + + # NOTE: See _geometric_edges for the actual implementation. The reason this + # is split into two functions is to avoid the overhead of input validation + # every time the function is called internally in one of the other + # geometric generators + return _geometric_edges(G, radius, p, pos_name) + + +def _geometric_edges(G, radius, p, pos_name): + """ + Implements `geometric_edges` without input validation. See `geometric_edges` + for complete docstring. + """ + nodes_pos = G.nodes(data=pos_name) + try: + import scipy as sp + except ImportError: + # no scipy KDTree so compute by for-loop + radius_p = radius**p + edges = [ + (u, v) + for (u, pu), (v, pv) in combinations(nodes_pos, 2) + if sum(abs(a - b) ** p for a, b in zip(pu, pv)) <= radius_p + ] + return edges + # scipy KDTree is available + nodes, coords = list(zip(*nodes_pos)) + kdtree = sp.spatial.cKDTree(coords) # Cannot provide generator. + edge_indexes = kdtree.query_pairs(radius, p) + edges = [(nodes[u], nodes[v]) for u, v in sorted(edge_indexes)] + return edges + + +@py_random_state(5) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_geometric_graph( + n, radius, dim=2, pos=None, p=2, seed=None, *, pos_name="pos" +): + """Returns a random geometric graph in the unit cube of dimensions `dim`. + + The random geometric graph model places `n` nodes uniformly at + random in the unit cube. Two nodes are joined by an edge if the + distance between the nodes is at most `radius`. + + Edges are determined using a KDTree when SciPy is available. + This reduces the time complexity from $O(n^2)$ to $O(n)$. + + Parameters + ---------- + n : int or iterable + Number of nodes or iterable of nodes + radius: float + Distance threshold value + dim : int, optional + Dimension of graph + pos : dict, optional + A dictionary keyed by node with node positions as values. + p : float, optional + Which Minkowski distance metric to use. `p` has to meet the condition + ``1 <= p <= infinity``. + + If this argument is not specified, the :math:`L^2` metric + (the Euclidean distance metric), p = 2 is used. + This should not be confused with the `p` of an Erdős-Rényi random + graph, which represents probability. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + pos_name : string, default="pos" + The name of the node attribute which represents the position + in 2D coordinates of the node in the returned graph. + + Returns + ------- + Graph + A random geometric graph, undirected and without self-loops. + Each node has a node attribute ``'pos'`` that stores the + position of that node in Euclidean space as provided by the + ``pos`` keyword argument or, if ``pos`` was not provided, as + generated by this function. + + Examples + -------- + Create a random geometric graph on twenty nodes where nodes are joined by + an edge if their distance is at most 0.1:: + + >>> G = nx.random_geometric_graph(20, 0.1) + + Notes + ----- + This uses a *k*-d tree to build the graph. + + The `pos` keyword argument can be used to specify node positions so you + can create an arbitrary distribution and domain for positions. + + For example, to use a 2D Gaussian distribution of node positions with mean + (0, 0) and standard deviation 2:: + + >>> import random + >>> n = 20 + >>> pos = {i: (random.gauss(0, 2), random.gauss(0, 2)) for i in range(n)} + >>> G = nx.random_geometric_graph(n, 0.2, pos=pos) + + References + ---------- + .. [1] Penrose, Mathew, *Random Geometric Graphs*, + Oxford Studies in Probability, 5, 2003. + + """ + # TODO Is this function just a special case of the geographical + # threshold graph? + # + # half_radius = {v: radius / 2 for v in n} + # return geographical_threshold_graph(nodes, theta=1, alpha=1, + # weight=half_radius) + # + G = nx.empty_graph(n) + # If no positions are provided, choose uniformly random vectors in + # Euclidean space of the specified dimension. + if pos is None: + pos = {v: [seed.random() for i in range(dim)] for v in G} + nx.set_node_attributes(G, pos, pos_name) + + G.add_edges_from(_geometric_edges(G, radius, p, pos_name)) + return G + + +@py_random_state(6) +@nx._dispatchable(graphs=None, returns_graph=True) +def soft_random_geometric_graph( + n, radius, dim=2, pos=None, p=2, p_dist=None, seed=None, *, pos_name="pos" +): + r"""Returns a soft random geometric graph in the unit cube. + + The soft random geometric graph [1] model places `n` nodes uniformly at + random in the unit cube in dimension `dim`. Two nodes of distance, `dist`, + computed by the `p`-Minkowski distance metric are joined by an edge with + probability `p_dist` if the computed distance metric value of the nodes + is at most `radius`, otherwise they are not joined. + + Edges within `radius` of each other are determined using a KDTree when + SciPy is available. This reduces the time complexity from :math:`O(n^2)` + to :math:`O(n)`. + + Parameters + ---------- + n : int or iterable + Number of nodes or iterable of nodes + radius: float + Distance threshold value + dim : int, optional + Dimension of graph + pos : dict, optional + A dictionary keyed by node with node positions as values. + p : float, optional + Which Minkowski distance metric to use. + `p` has to meet the condition ``1 <= p <= infinity``. + + If this argument is not specified, the :math:`L^2` metric + (the Euclidean distance metric), p = 2 is used. + + This should not be confused with the `p` of an Erdős-Rényi random + graph, which represents probability. + p_dist : function, optional + A probability density function computing the probability of + connecting two nodes that are of distance, dist, computed by the + Minkowski distance metric. The probability density function, `p_dist`, + must be any function that takes the metric value as input + and outputs a single probability value between 0-1. The scipy.stats + package has many probability distribution functions implemented and + tools for custom probability distribution definitions [2], and passing + the .pdf method of scipy.stats distributions can be used here. If the + probability function, `p_dist`, is not supplied, the default function + is an exponential distribution with rate parameter :math:`\lambda=1`. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + pos_name : string, default="pos" + The name of the node attribute which represents the position + in 2D coordinates of the node in the returned graph. + + Returns + ------- + Graph + A soft random geometric graph, undirected and without self-loops. + Each node has a node attribute ``'pos'`` that stores the + position of that node in Euclidean space as provided by the + ``pos`` keyword argument or, if ``pos`` was not provided, as + generated by this function. + + Examples + -------- + Default Graph: + + G = nx.soft_random_geometric_graph(50, 0.2) + + Custom Graph: + + Create a soft random geometric graph on 100 uniformly distributed nodes + where nodes are joined by an edge with probability computed from an + exponential distribution with rate parameter :math:`\lambda=1` if their + Euclidean distance is at most 0.2. + + Notes + ----- + This uses a *k*-d tree to build the graph. + + The `pos` keyword argument can be used to specify node positions so you + can create an arbitrary distribution and domain for positions. + + For example, to use a 2D Gaussian distribution of node positions with mean + (0, 0) and standard deviation 2 + + The scipy.stats package can be used to define the probability distribution + with the .pdf method used as `p_dist`. + + :: + + >>> import random + >>> import math + >>> n = 100 + >>> pos = {i: (random.gauss(0, 2), random.gauss(0, 2)) for i in range(n)} + >>> p_dist = lambda dist: math.exp(-dist) + >>> G = nx.soft_random_geometric_graph(n, 0.2, pos=pos, p_dist=p_dist) + + References + ---------- + .. [1] Penrose, Mathew D. "Connectivity of soft random geometric graphs." + The Annals of Applied Probability 26.2 (2016): 986-1028. + .. [2] scipy.stats - + https://docs.scipy.org/doc/scipy/reference/tutorial/stats.html + + """ + G = nx.empty_graph(n) + G.name = f"soft_random_geometric_graph({n}, {radius}, {dim})" + # If no positions are provided, choose uniformly random vectors in + # Euclidean space of the specified dimension. + if pos is None: + pos = {v: [seed.random() for i in range(dim)] for v in G} + nx.set_node_attributes(G, pos, pos_name) + + # if p_dist function not supplied the default function is an exponential + # distribution with rate parameter :math:`\lambda=1`. + if p_dist is None: + + def p_dist(dist): + return math.exp(-dist) + + def should_join(edge): + u, v = edge + dist = (sum(abs(a - b) ** p for a, b in zip(pos[u], pos[v]))) ** (1 / p) + return seed.random() < p_dist(dist) + + G.add_edges_from(filter(should_join, _geometric_edges(G, radius, p, pos_name))) + return G + + +@py_random_state(7) +@nx._dispatchable(graphs=None, returns_graph=True) +def geographical_threshold_graph( + n, + theta, + dim=2, + pos=None, + weight=None, + metric=None, + p_dist=None, + seed=None, + *, + pos_name="pos", + weight_name="weight", +): + r"""Returns a geographical threshold graph. + + The geographical threshold graph model places $n$ nodes uniformly at + random in a rectangular domain. Each node $u$ is assigned a weight + $w_u$. Two nodes $u$ and $v$ are joined by an edge if + + .. math:: + + (w_u + w_v)p_{dist}(r) \ge \theta + + where `r` is the distance between `u` and `v`, `p_dist` is any function of + `r`, and :math:`\theta` as the threshold parameter. `p_dist` is used to + give weight to the distance between nodes when deciding whether or not + they should be connected. The larger `p_dist` is, the more prone nodes + separated by `r` are to be connected, and vice versa. + + Parameters + ---------- + n : int or iterable + Number of nodes or iterable of nodes + theta: float + Threshold value + dim : int, optional + Dimension of graph + pos : dict + Node positions as a dictionary of tuples keyed by node. + weight : dict + Node weights as a dictionary of numbers keyed by node. + metric : function + A metric on vectors of numbers (represented as lists or + tuples). This must be a function that accepts two lists (or + tuples) as input and yields a number as output. The function + must also satisfy the four requirements of a `metric`_. + Specifically, if $d$ is the function and $x$, $y$, + and $z$ are vectors in the graph, then $d$ must satisfy + + 1. $d(x, y) \ge 0$, + 2. $d(x, y) = 0$ if and only if $x = y$, + 3. $d(x, y) = d(y, x)$, + 4. $d(x, z) \le d(x, y) + d(y, z)$. + + If this argument is not specified, the Euclidean distance metric is + used. + + .. _metric: https://en.wikipedia.org/wiki/Metric_%28mathematics%29 + p_dist : function, optional + Any function used to give weight to the distance between nodes when + deciding whether or not they should be connected. `p_dist` was + originally conceived as a probability density function giving the + probability of connecting two nodes that are of metric distance `r` + apart. The implementation here allows for more arbitrary definitions + of `p_dist` that do not need to correspond to valid probability + density functions. The :mod:`scipy.stats` package has many + probability density functions implemented and tools for custom + probability density definitions, and passing the ``.pdf`` method of + scipy.stats distributions can be used here. If ``p_dist=None`` + (the default), the exponential function :math:`r^{-2}` is used. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + pos_name : string, default="pos" + The name of the node attribute which represents the position + in 2D coordinates of the node in the returned graph. + weight_name : string, default="weight" + The name of the node attribute which represents the weight + of the node in the returned graph. + + Returns + ------- + Graph + A random geographic threshold graph, undirected and without + self-loops. + + Each node has a node attribute ``pos`` that stores the + position of that node in Euclidean space as provided by the + ``pos`` keyword argument or, if ``pos`` was not provided, as + generated by this function. Similarly, each node has a node + attribute ``weight`` that stores the weight of that node as + provided or as generated. + + Examples + -------- + Specify an alternate distance metric using the ``metric`` keyword + argument. For example, to use the `taxicab metric`_ instead of the + default `Euclidean metric`_:: + + >>> dist = lambda x, y: sum(abs(a - b) for a, b in zip(x, y)) + >>> G = nx.geographical_threshold_graph(10, 0.1, metric=dist) + + .. _taxicab metric: https://en.wikipedia.org/wiki/Taxicab_geometry + .. _Euclidean metric: https://en.wikipedia.org/wiki/Euclidean_distance + + Notes + ----- + If weights are not specified they are assigned to nodes by drawing randomly + from the exponential distribution with rate parameter $\lambda=1$. + To specify weights from a different distribution, use the `weight` keyword + argument:: + + >>> import random + >>> n = 20 + >>> w = {i: random.expovariate(5.0) for i in range(n)} + >>> G = nx.geographical_threshold_graph(20, 50, weight=w) + + If node positions are not specified they are randomly assigned from the + uniform distribution. + + References + ---------- + .. [1] Masuda, N., Miwa, H., Konno, N.: + Geographical threshold graphs with small-world and scale-free + properties. + Physical Review E 71, 036108 (2005) + .. [2] Milan Bradonjić, Aric Hagberg and Allon G. Percus, + Giant component and connectivity in geographical threshold graphs, + in Algorithms and Models for the Web-Graph (WAW 2007), + Antony Bonato and Fan Chung (Eds), pp. 209--216, 2007 + """ + G = nx.empty_graph(n) + # If no weights are provided, choose them from an exponential + # distribution. + if weight is None: + weight = {v: seed.expovariate(1) for v in G} + # If no positions are provided, choose uniformly random vectors in + # Euclidean space of the specified dimension. + if pos is None: + pos = {v: [seed.random() for i in range(dim)] for v in G} + # If no distance metric is provided, use Euclidean distance. + if metric is None: + metric = math.dist + nx.set_node_attributes(G, weight, weight_name) + nx.set_node_attributes(G, pos, pos_name) + + # if p_dist is not supplied, use default r^-2 + if p_dist is None: + + def p_dist(r): + return r**-2 + + # Returns ``True`` if and only if the nodes whose attributes are + # ``du`` and ``dv`` should be joined, according to the threshold + # condition. + def should_join(pair): + u, v = pair + u_pos, v_pos = pos[u], pos[v] + u_weight, v_weight = weight[u], weight[v] + return (u_weight + v_weight) * p_dist(metric(u_pos, v_pos)) >= theta + + G.add_edges_from(filter(should_join, combinations(G, 2))) + return G + + +@py_random_state(6) +@nx._dispatchable(graphs=None, returns_graph=True) +def waxman_graph( + n, + beta=0.4, + alpha=0.1, + L=None, + domain=(0, 0, 1, 1), + metric=None, + seed=None, + *, + pos_name="pos", +): + r"""Returns a Waxman random graph. + + The Waxman random graph model places `n` nodes uniformly at random + in a rectangular domain. Each pair of nodes at distance `d` is + joined by an edge with probability + + .. math:: + p = \beta \exp(-d / \alpha L). + + This function implements both Waxman models, using the `L` keyword + argument. + + * Waxman-1: if `L` is not specified, it is set to be the maximum distance + between any pair of nodes. + * Waxman-2: if `L` is specified, the distance between a pair of nodes is + chosen uniformly at random from the interval `[0, L]`. + + Parameters + ---------- + n : int or iterable + Number of nodes or iterable of nodes + beta: float + Model parameter + alpha: float + Model parameter + L : float, optional + Maximum distance between nodes. If not specified, the actual distance + is calculated. + domain : four-tuple of numbers, optional + Domain size, given as a tuple of the form `(x_min, y_min, x_max, + y_max)`. + metric : function + A metric on vectors of numbers (represented as lists or + tuples). This must be a function that accepts two lists (or + tuples) as input and yields a number as output. The function + must also satisfy the four requirements of a `metric`_. + Specifically, if $d$ is the function and $x$, $y$, + and $z$ are vectors in the graph, then $d$ must satisfy + + 1. $d(x, y) \ge 0$, + 2. $d(x, y) = 0$ if and only if $x = y$, + 3. $d(x, y) = d(y, x)$, + 4. $d(x, z) \le d(x, y) + d(y, z)$. + + If this argument is not specified, the Euclidean distance metric is + used. + + .. _metric: https://en.wikipedia.org/wiki/Metric_%28mathematics%29 + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + pos_name : string, default="pos" + The name of the node attribute which represents the position + in 2D coordinates of the node in the returned graph. + + Returns + ------- + Graph + A random Waxman graph, undirected and without self-loops. Each + node has a node attribute ``'pos'`` that stores the position of + that node in Euclidean space as generated by this function. + + Examples + -------- + Specify an alternate distance metric using the ``metric`` keyword + argument. For example, to use the "`taxicab metric`_" instead of the + default `Euclidean metric`_:: + + >>> dist = lambda x, y: sum(abs(a - b) for a, b in zip(x, y)) + >>> G = nx.waxman_graph(10, 0.5, 0.1, metric=dist) + + .. _taxicab metric: https://en.wikipedia.org/wiki/Taxicab_geometry + .. _Euclidean metric: https://en.wikipedia.org/wiki/Euclidean_distance + + Notes + ----- + Starting in NetworkX 2.0 the parameters alpha and beta align with their + usual roles in the probability distribution. In earlier versions their + positions in the expression were reversed. Their position in the calling + sequence reversed as well to minimize backward incompatibility. + + References + ---------- + .. [1] B. M. Waxman, *Routing of multipoint connections*. + IEEE J. Select. Areas Commun. 6(9),(1988) 1617--1622. + """ + G = nx.empty_graph(n) + (xmin, ymin, xmax, ymax) = domain + # Each node gets a uniformly random position in the given rectangle. + pos = {v: (seed.uniform(xmin, xmax), seed.uniform(ymin, ymax)) for v in G} + nx.set_node_attributes(G, pos, pos_name) + # If no distance metric is provided, use Euclidean distance. + if metric is None: + metric = math.dist + # If the maximum distance L is not specified (that is, we are in the + # Waxman-1 model), then find the maximum distance between any pair + # of nodes. + # + # In the Waxman-1 model, join nodes randomly based on distance. In + # the Waxman-2 model, join randomly based on random l. + if L is None: + L = max(metric(x, y) for x, y in combinations(pos.values(), 2)) + + def dist(u, v): + return metric(pos[u], pos[v]) + + else: + + def dist(u, v): + return seed.random() * L + + # `pair` is the pair of nodes to decide whether to join. + def should_join(pair): + return seed.random() < beta * math.exp(-dist(*pair) / (alpha * L)) + + G.add_edges_from(filter(should_join, combinations(G, 2))) + return G + + +@py_random_state(5) +@nx._dispatchable(graphs=None, returns_graph=True) +def navigable_small_world_graph(n, p=1, q=1, r=2, dim=2, seed=None): + r"""Returns a navigable small-world graph. + + A navigable small-world graph is a directed grid with additional long-range + connections that are chosen randomly. + + [...] we begin with a set of nodes [...] that are identified with the set + of lattice points in an $n \times n$ square, + $\{(i, j): i \in \{1, 2, \ldots, n\}, j \in \{1, 2, \ldots, n\}\}$, + and we define the *lattice distance* between two nodes $(i, j)$ and + $(k, l)$ to be the number of "lattice steps" separating them: + $d((i, j), (k, l)) = |k - i| + |l - j|$. + + For a universal constant $p >= 1$, the node $u$ has a directed edge to + every other node within lattice distance $p$---these are its *local + contacts*. For universal constants $q >= 0$ and $r >= 0$ we also + construct directed edges from $u$ to $q$ other nodes (the *long-range + contacts*) using independent random trials; the $i$th directed edge from + $u$ has endpoint $v$ with probability proportional to $[d(u,v)]^{-r}$. + + -- [1]_ + + Parameters + ---------- + n : int + The length of one side of the lattice; the number of nodes in + the graph is therefore $n^2$. + p : int + The diameter of short range connections. Each node is joined with every + other node within this lattice distance. + q : int + The number of long-range connections for each node. + r : float + Exponent for decaying probability of connections. The probability of + connecting to a node at lattice distance $d$ is $1/d^r$. + dim : int + Dimension of grid + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + References + ---------- + .. [1] J. Kleinberg. The small-world phenomenon: An algorithmic + perspective. Proc. 32nd ACM Symposium on Theory of Computing, 2000. + """ + if p < 1: + raise nx.NetworkXException("p must be >= 1") + if q < 0: + raise nx.NetworkXException("q must be >= 0") + if r < 0: + raise nx.NetworkXException("r must be >= 0") + + G = nx.DiGraph() + nodes = list(product(range(n), repeat=dim)) + for p1 in nodes: + probs = [0] + for p2 in nodes: + if p1 == p2: + continue + d = sum((abs(b - a) for a, b in zip(p1, p2))) + if d <= p: + G.add_edge(p1, p2) + probs.append(d**-r) + cdf = list(accumulate(probs)) + for _ in range(q): + target = nodes[bisect_left(cdf, seed.uniform(0, cdf[-1]))] + G.add_edge(p1, target) + return G + + +@py_random_state(7) +@nx._dispatchable(graphs=None, returns_graph=True) +def thresholded_random_geometric_graph( + n, + radius, + theta, + dim=2, + pos=None, + weight=None, + p=2, + seed=None, + *, + pos_name="pos", + weight_name="weight", +): + r"""Returns a thresholded random geometric graph in the unit cube. + + The thresholded random geometric graph [1] model places `n` nodes + uniformly at random in the unit cube of dimensions `dim`. Each node + `u` is assigned a weight :math:`w_u`. Two nodes `u` and `v` are + joined by an edge if they are within the maximum connection distance, + `radius` computed by the `p`-Minkowski distance and the summation of + weights :math:`w_u` + :math:`w_v` is greater than or equal + to the threshold parameter `theta`. + + Edges within `radius` of each other are determined using a KDTree when + SciPy is available. This reduces the time complexity from :math:`O(n^2)` + to :math:`O(n)`. + + Parameters + ---------- + n : int or iterable + Number of nodes or iterable of nodes + radius: float + Distance threshold value + theta: float + Threshold value + dim : int, optional + Dimension of graph + pos : dict, optional + A dictionary keyed by node with node positions as values. + weight : dict, optional + Node weights as a dictionary of numbers keyed by node. + p : float, optional (default 2) + Which Minkowski distance metric to use. `p` has to meet the condition + ``1 <= p <= infinity``. + + If this argument is not specified, the :math:`L^2` metric + (the Euclidean distance metric), p = 2 is used. + + This should not be confused with the `p` of an Erdős-Rényi random + graph, which represents probability. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + pos_name : string, default="pos" + The name of the node attribute which represents the position + in 2D coordinates of the node in the returned graph. + weight_name : string, default="weight" + The name of the node attribute which represents the weight + of the node in the returned graph. + + Returns + ------- + Graph + A thresholded random geographic graph, undirected and without + self-loops. + + Each node has a node attribute ``'pos'`` that stores the + position of that node in Euclidean space as provided by the + ``pos`` keyword argument or, if ``pos`` was not provided, as + generated by this function. Similarly, each node has a nodethre + attribute ``'weight'`` that stores the weight of that node as + provided or as generated. + + Examples + -------- + Default Graph: + + G = nx.thresholded_random_geometric_graph(50, 0.2, 0.1) + + Custom Graph: + + Create a thresholded random geometric graph on 50 uniformly distributed + nodes where nodes are joined by an edge if their sum weights drawn from + a exponential distribution with rate = 5 are >= theta = 0.1 and their + Euclidean distance is at most 0.2. + + Notes + ----- + This uses a *k*-d tree to build the graph. + + The `pos` keyword argument can be used to specify node positions so you + can create an arbitrary distribution and domain for positions. + + For example, to use a 2D Gaussian distribution of node positions with mean + (0, 0) and standard deviation 2 + + If weights are not specified they are assigned to nodes by drawing randomly + from the exponential distribution with rate parameter :math:`\lambda=1`. + To specify weights from a different distribution, use the `weight` keyword + argument:: + + :: + + >>> import random + >>> import math + >>> n = 50 + >>> pos = {i: (random.gauss(0, 2), random.gauss(0, 2)) for i in range(n)} + >>> w = {i: random.expovariate(5.0) for i in range(n)} + >>> G = nx.thresholded_random_geometric_graph(n, 0.2, 0.1, 2, pos, w) + + References + ---------- + .. [1] http://cole-maclean.github.io/blog/files/thesis.pdf + + """ + G = nx.empty_graph(n) + G.name = f"thresholded_random_geometric_graph({n}, {radius}, {theta}, {dim})" + # If no weights are provided, choose them from an exponential + # distribution. + if weight is None: + weight = {v: seed.expovariate(1) for v in G} + # If no positions are provided, choose uniformly random vectors in + # Euclidean space of the specified dimension. + if pos is None: + pos = {v: [seed.random() for i in range(dim)] for v in G} + # If no distance metric is provided, use Euclidean distance. + nx.set_node_attributes(G, weight, weight_name) + nx.set_node_attributes(G, pos, pos_name) + + edges = ( + (u, v) + for u, v in _geometric_edges(G, radius, p, pos_name) + if weight[u] + weight[v] >= theta + ) + G.add_edges_from(edges) + return G + + +@py_random_state(5) +@nx._dispatchable(graphs=None, returns_graph=True) +def geometric_soft_configuration_graph( + *, beta, n=None, gamma=None, mean_degree=None, kappas=None, seed=None +): + r"""Returns a random graph from the geometric soft configuration model. + + The $\mathbb{S}^1$ model [1]_ is the geometric soft configuration model + which is able to explain many fundamental features of real networks such as + small-world property, heteregenous degree distributions, high level of + clustering, and self-similarity. + + In the geometric soft configuration model, a node $i$ is assigned two hidden + variables: a hidden degree $\kappa_i$, quantifying its popularity, influence, + or importance, and an angular position $\theta_i$ in a circle abstracting the + similarity space, where angular distances between nodes are a proxy for their + similarity. Focusing on the angular position, this model is often called + the $\mathbb{S}^1$ model (a one-dimensional sphere). The circle's radius is + adjusted to $R = N/2\pi$, where $N$ is the number of nodes, so that the density + is set to 1 without loss of generality. + + The connection probability between any pair of nodes increases with + the product of their hidden degrees (i.e., their combined popularities), + and decreases with the angular distance between the two nodes. + Specifically, nodes $i$ and $j$ are connected with the probability + + $p_{ij} = \frac{1}{1 + \frac{d_{ij}^\beta}{\left(\mu \kappa_i \kappa_j\right)^{\max(1, \beta)}}}$ + + where $d_{ij} = R\Delta\theta_{ij}$ is the arc length of the circle between + nodes $i$ and $j$ separated by an angular distance $\Delta\theta_{ij}$. + Parameters $\mu$ and $\beta$ (also called inverse temperature) control the + average degree and the clustering coefficient, respectively. + + It can be shown [2]_ that the model undergoes a structural phase transition + at $\beta=1$ so that for $\beta<1$ networks are unclustered in the thermodynamic + limit (when $N\to \infty$) whereas for $\beta>1$ the ensemble generates + networks with finite clustering coefficient. + + The $\mathbb{S}^1$ model can be expressed as a purely geometric model + $\mathbb{H}^2$ in the hyperbolic plane [3]_ by mapping the hidden degree of + each node into a radial coordinate as + + $r_i = \hat{R} - \frac{2 \max(1, \beta)}{\beta \zeta} \ln \left(\frac{\kappa_i}{\kappa_0}\right)$ + + where $\hat{R}$ is the radius of the hyperbolic disk and $\zeta$ is the curvature, + + $\hat{R} = \frac{2}{\zeta} \ln \left(\frac{N}{\pi}\right) + - \frac{2\max(1, \beta)}{\beta \zeta} \ln (\mu \kappa_0^2)$ + + The connection probability then reads + + $p_{ij} = \frac{1}{1 + \exp\left({\frac{\beta\zeta}{2} (x_{ij} - \hat{R})}\right)}$ + + where + + $x_{ij} = r_i + r_j + \frac{2}{\zeta} \ln \frac{\Delta\theta_{ij}}{2}$ + + is a good approximation of the hyperbolic distance between two nodes separated + by an angular distance $\Delta\theta_{ij}$ with radial coordinates $r_i$ and $r_j$. + For $\beta > 1$, the curvature $\zeta = 1$, for $\beta < 1$, $\zeta = \beta^{-1}$. + + + Parameters + ---------- + Either `n`, `gamma`, `mean_degree` are provided or `kappas`. The values of + `n`, `gamma`, `mean_degree` (if provided) are used to construct a random + kappa-dict keyed by node with values sampled from a power-law distribution. + + beta : positive number + Inverse temperature, controlling the clustering coefficient. + n : int (default: None) + Size of the network (number of nodes). + If not provided, `kappas` must be provided and holds the nodes. + gamma : float (default: None) + Exponent of the power-law distribution for hidden degrees `kappas`. + If not provided, `kappas` must be provided directly. + mean_degree : float (default: None) + The mean degree in the network. + If not provided, `kappas` must be provided directly. + kappas : dict (default: None) + A dict keyed by node to its hidden degree value. + If not provided, random values are computed based on a power-law + distribution using `n`, `gamma` and `mean_degree`. + seed : int, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + Graph + A random geometric soft configuration graph (undirected with no self-loops). + Each node has three node-attributes: + + - ``kappa`` that represents the hidden degree. + + - ``theta`` the position in the similarity space ($\mathbb{S}^1$) which is + also the angular position in the hyperbolic plane. + + - ``radius`` the radial position in the hyperbolic plane + (based on the hidden degree). + + + Examples + -------- + Generate a network with specified parameters: + + >>> G = nx.geometric_soft_configuration_graph( + ... beta=1.5, n=100, gamma=2.7, mean_degree=5 + ... ) + + Create a geometric soft configuration graph with 100 nodes. The $\beta$ parameter + is set to 1.5 and the exponent of the powerlaw distribution of the hidden + degrees is 2.7 with mean value of 5. + + Generate a network with predefined hidden degrees: + + >>> kappas = {i: 10 for i in range(100)} + >>> G = nx.geometric_soft_configuration_graph(beta=2.5, kappas=kappas) + + Create a geometric soft configuration graph with 100 nodes. The $\beta$ parameter + is set to 2.5 and all nodes with hidden degree $\kappa=10$. + + + References + ---------- + .. [1] Serrano, M. Á., Krioukov, D., & Boguñá, M. (2008). Self-similarity + of complex networks and hidden metric spaces. Physical review letters, 100(7), 078701. + + .. [2] van der Kolk, J., Serrano, M. Á., & Boguñá, M. (2022). An anomalous + topological phase transition in spatial random graphs. Communications Physics, 5(1), 245. + + .. [3] Krioukov, D., Papadopoulos, F., Kitsak, M., Vahdat, A., & Boguná, M. (2010). + Hyperbolic geometry of complex networks. Physical Review E, 82(3), 036106. + + """ + if beta <= 0: + raise nx.NetworkXError("The parameter beta cannot be smaller or equal to 0.") + + if kappas is not None: + if not all((n is None, gamma is None, mean_degree is None)): + raise nx.NetworkXError( + "When kappas is input, n, gamma and mean_degree must not be." + ) + + n = len(kappas) + mean_degree = sum(kappas) / len(kappas) + else: + if any((n is None, gamma is None, mean_degree is None)): + raise nx.NetworkXError( + "Please provide either kappas, or all 3 of: n, gamma and mean_degree." + ) + + # Generate `n` hidden degrees from a powerlaw distribution + # with given exponent `gamma` and mean value `mean_degree` + gam_ratio = (gamma - 2) / (gamma - 1) + kappa_0 = mean_degree * gam_ratio * (1 - 1 / n) / (1 - 1 / n**gam_ratio) + base = 1 - 1 / n + power = 1 / (1 - gamma) + kappas = {i: kappa_0 * (1 - seed.random() * base) ** power for i in range(n)} + + G = nx.Graph() + R = n / (2 * math.pi) + + # Approximate values for mu in the thermodynamic limit (when n -> infinity) + if beta > 1: + mu = beta * math.sin(math.pi / beta) / (2 * math.pi * mean_degree) + elif beta == 1: + mu = 1 / (2 * mean_degree * math.log(n)) + else: + mu = (1 - beta) / (2**beta * mean_degree * n ** (1 - beta)) + + # Generate random positions on a circle + thetas = {k: seed.uniform(0, 2 * math.pi) for k in kappas} + + for u in kappas: + for v in list(G): + angle = math.pi - math.fabs(math.pi - math.fabs(thetas[u] - thetas[v])) + dij = math.pow(R * angle, beta) + mu_kappas = math.pow(mu * kappas[u] * kappas[v], max(1, beta)) + p_ij = 1 / (1 + dij / mu_kappas) + + # Create an edge with a certain connection probability + if seed.random() < p_ij: + G.add_edge(u, v) + G.add_node(u) + + nx.set_node_attributes(G, thetas, "theta") + nx.set_node_attributes(G, kappas, "kappa") + + # Map hidden degrees into the radial coordinates + zeta = 1 if beta > 1 else 1 / beta + kappa_min = min(kappas.values()) + R_c = 2 * max(1, beta) / (beta * zeta) + R_hat = (2 / zeta) * math.log(n / math.pi) - R_c * math.log(mu * kappa_min) + radii = {node: R_hat - R_c * math.log(kappa) for node, kappa in kappas.items()} + nx.set_node_attributes(G, radii, "radius") + + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/harary_graph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/harary_graph.py new file mode 100644 index 0000000000000000000000000000000000000000..591587d3aca68176a1d781eb1900b0feb04567e4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/harary_graph.py @@ -0,0 +1,199 @@ +"""Generators for Harary graphs + +This module gives two generators for the Harary graph, which was +introduced by the famous mathematician Frank Harary in his 1962 work [H]_. +The first generator gives the Harary graph that maximizes the node +connectivity with given number of nodes and given number of edges. +The second generator gives the Harary graph that minimizes +the number of edges in the graph with given node connectivity and +number of nodes. + +References +---------- +.. [H] Harary, F. "The Maximum Connectivity of a Graph." + Proc. Nat. Acad. Sci. USA 48, 1142-1146, 1962. + +""" + +import networkx as nx +from networkx.exception import NetworkXError + +__all__ = ["hnm_harary_graph", "hkn_harary_graph"] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def hnm_harary_graph(n, m, create_using=None): + """Returns the Harary graph with given numbers of nodes and edges. + + The Harary graph $H_{n,m}$ is the graph that maximizes node connectivity + with $n$ nodes and $m$ edges. + + This maximum node connectivity is known to be floor($2m/n$). [1]_ + + Parameters + ---------- + n: integer + The number of nodes the generated graph is to contain + + m: integer + The number of edges the generated graph is to contain + + create_using : NetworkX graph constructor, optional Graph type + to create (default=nx.Graph). If graph instance, then cleared + before populated. + + Returns + ------- + NetworkX graph + The Harary graph $H_{n,m}$. + + See Also + -------- + hkn_harary_graph + + Notes + ----- + This algorithm runs in $O(m)$ time. + It is implemented by following the Reference [2]_. + + References + ---------- + .. [1] F. T. Boesch, A. Satyanarayana, and C. L. Suffel, + "A Survey of Some Network Reliability Analysis and Synthesis Results," + Networks, pp. 99-107, 2009. + + .. [2] Harary, F. "The Maximum Connectivity of a Graph." + Proc. Nat. Acad. Sci. USA 48, 1142-1146, 1962. + """ + + if n < 1: + raise NetworkXError("The number of nodes must be >= 1!") + if m < n - 1: + raise NetworkXError("The number of edges must be >= n - 1 !") + if m > n * (n - 1) // 2: + raise NetworkXError("The number of edges must be <= n(n-1)/2") + + # Construct an empty graph with n nodes first + H = nx.empty_graph(n, create_using) + # Get the floor of average node degree + d = 2 * m // n + + # Test the parity of n and d + if (n % 2 == 0) or (d % 2 == 0): + # Start with a regular graph of d degrees + offset = d // 2 + for i in range(n): + for j in range(1, offset + 1): + H.add_edge(i, (i - j) % n) + H.add_edge(i, (i + j) % n) + if d & 1: + # in case d is odd; n must be even in this case + half = n // 2 + for i in range(half): + # add edges diagonally + H.add_edge(i, i + half) + # Get the remainder of 2*m modulo n + r = 2 * m % n + if r > 0: + # add remaining edges at offset+1 + for i in range(r // 2): + H.add_edge(i, i + offset + 1) + else: + # Start with a regular graph of (d - 1) degrees + offset = (d - 1) // 2 + for i in range(n): + for j in range(1, offset + 1): + H.add_edge(i, (i - j) % n) + H.add_edge(i, (i + j) % n) + half = n // 2 + for i in range(m - n * offset): + # add the remaining m - n*offset edges between i and i+half + H.add_edge(i, (i + half) % n) + + return H + + +@nx._dispatchable(graphs=None, returns_graph=True) +def hkn_harary_graph(k, n, create_using=None): + """Returns the Harary graph with given node connectivity and node number. + + The Harary graph $H_{k,n}$ is the graph that minimizes the number of + edges needed with given node connectivity $k$ and node number $n$. + + This smallest number of edges is known to be ceil($kn/2$) [1]_. + + Parameters + ---------- + k: integer + The node connectivity of the generated graph + + n: integer + The number of nodes the generated graph is to contain + + create_using : NetworkX graph constructor, optional Graph type + to create (default=nx.Graph). If graph instance, then cleared + before populated. + + Returns + ------- + NetworkX graph + The Harary graph $H_{k,n}$. + + See Also + -------- + hnm_harary_graph + + Notes + ----- + This algorithm runs in $O(kn)$ time. + It is implemented by following the Reference [2]_. + + References + ---------- + .. [1] Weisstein, Eric W. "Harary Graph." From MathWorld--A Wolfram Web + Resource. http://mathworld.wolfram.com/HararyGraph.html. + + .. [2] Harary, F. "The Maximum Connectivity of a Graph." + Proc. Nat. Acad. Sci. USA 48, 1142-1146, 1962. + """ + + if k < 1: + raise NetworkXError("The node connectivity must be >= 1!") + if n < k + 1: + raise NetworkXError("The number of nodes must be >= k+1 !") + + # in case of connectivity 1, simply return the path graph + if k == 1: + H = nx.path_graph(n, create_using) + return H + + # Construct an empty graph with n nodes first + H = nx.empty_graph(n, create_using) + + # Test the parity of k and n + if (k % 2 == 0) or (n % 2 == 0): + # Construct a regular graph with k degrees + offset = k // 2 + for i in range(n): + for j in range(1, offset + 1): + H.add_edge(i, (i - j) % n) + H.add_edge(i, (i + j) % n) + if k & 1: + # odd degree; n must be even in this case + half = n // 2 + for i in range(half): + # add edges diagonally + H.add_edge(i, i + half) + else: + # Construct a regular graph with (k - 1) degrees + offset = (k - 1) // 2 + for i in range(n): + for j in range(1, offset + 1): + H.add_edge(i, (i - j) % n) + H.add_edge(i, (i + j) % n) + half = n // 2 + for i in range(half + 1): + # add half+1 edges between i and i+half + H.add_edge(i, (i + half) % n) + + return H diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/internet_as_graphs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/internet_as_graphs.py new file mode 100644 index 0000000000000000000000000000000000000000..449d54376af4981a94ba6324f6d373962a9daaaa --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/internet_as_graphs.py @@ -0,0 +1,441 @@ +"""Generates graphs resembling the Internet Autonomous System network""" + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = ["random_internet_as_graph"] + + +def uniform_int_from_avg(a, m, seed): + """Pick a random integer with uniform probability. + + Returns a random integer uniformly taken from a distribution with + minimum value 'a' and average value 'm', X~U(a,b), E[X]=m, X in N where + b = 2*m - a. + + Notes + ----- + p = (b-floor(b))/2 + X = X1 + X2; X1~U(a,floor(b)), X2~B(p) + E[X] = E[X1] + E[X2] = (floor(b)+a)/2 + (b-floor(b))/2 = (b+a)/2 = m + """ + + from math import floor + + assert m >= a + b = 2 * m - a + p = (b - floor(b)) / 2 + X1 = round(seed.random() * (floor(b) - a) + a) + if seed.random() < p: + X2 = 1 + else: + X2 = 0 + return X1 + X2 + + +def choose_pref_attach(degs, seed): + """Pick a random value, with a probability given by its weight. + + Returns a random choice among degs keys, each of which has a + probability proportional to the corresponding dictionary value. + + Parameters + ---------- + degs: dictionary + It contains the possible values (keys) and the corresponding + probabilities (values) + seed: random state + + Returns + ------- + v: object + A key of degs or None if degs is empty + """ + + if len(degs) == 0: + return None + s = sum(degs.values()) + if s == 0: + return seed.choice(list(degs.keys())) + v = seed.random() * s + + nodes = list(degs.keys()) + i = 0 + acc = degs[nodes[i]] + while v > acc: + i += 1 + acc += degs[nodes[i]] + return nodes[i] + + +class AS_graph_generator: + """Generates random internet AS graphs.""" + + def __init__(self, n, seed): + """Initializes variables. Immediate numbers are taken from [1]. + + Parameters + ---------- + n: integer + Number of graph nodes + seed: random state + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + GG: AS_graph_generator object + + References + ---------- + [1] A. Elmokashfi, A. Kvalbein and C. Dovrolis, "On the Scalability of + BGP: The Role of Topology Growth," in IEEE Journal on Selected Areas + in Communications, vol. 28, no. 8, pp. 1250-1261, October 2010. + """ + + self.seed = seed + self.n_t = min(n, round(self.seed.random() * 2 + 4)) # num of T nodes + self.n_m = round(0.15 * n) # number of M nodes + self.n_cp = round(0.05 * n) # number of CP nodes + self.n_c = max(0, n - self.n_t - self.n_m - self.n_cp) # number of C nodes + + self.d_m = 2 + (2.5 * n) / 10000 # average multihoming degree for M nodes + self.d_cp = 2 + (1.5 * n) / 10000 # avg multihoming degree for CP nodes + self.d_c = 1 + (5 * n) / 100000 # average multihoming degree for C nodes + + self.p_m_m = 1 + (2 * n) / 10000 # avg num of peer edges between M and M + self.p_cp_m = 0.2 + (2 * n) / 10000 # avg num of peer edges between CP, M + self.p_cp_cp = 0.05 + (2 * n) / 100000 # avg num of peer edges btwn CP, CP + + self.t_m = 0.375 # probability M's provider is T + self.t_cp = 0.375 # probability CP's provider is T + self.t_c = 0.125 # probability C's provider is T + + def t_graph(self): + """Generates the core mesh network of tier one nodes of a AS graph. + + Returns + ------- + G: Networkx Graph + Core network + """ + + self.G = nx.Graph() + for i in range(self.n_t): + self.G.add_node(i, type="T") + for r in self.regions: + self.regions[r].add(i) + for j in self.G.nodes(): + if i != j: + self.add_edge(i, j, "peer") + self.customers[i] = set() + self.providers[i] = set() + return self.G + + def add_edge(self, i, j, kind): + if kind == "transit": + customer = str(i) + else: + customer = "none" + self.G.add_edge(i, j, type=kind, customer=customer) + + def choose_peer_pref_attach(self, node_list): + """Pick a node with a probability weighted by its peer degree. + + Pick a node from node_list with preferential attachment + computed only on their peer degree + """ + + d = {} + for n in node_list: + d[n] = self.G.nodes[n]["peers"] + return choose_pref_attach(d, self.seed) + + def choose_node_pref_attach(self, node_list): + """Pick a node with a probability weighted by its degree. + + Pick a node from node_list with preferential attachment + computed on their degree + """ + + degs = dict(self.G.degree(node_list)) + return choose_pref_attach(degs, self.seed) + + def add_customer(self, i, j): + """Keep the dictionaries 'customers' and 'providers' consistent.""" + + self.customers[j].add(i) + self.providers[i].add(j) + for z in self.providers[j]: + self.customers[z].add(i) + self.providers[i].add(z) + + def add_node(self, i, kind, reg2prob, avg_deg, t_edge_prob): + """Add a node and its customer transit edges to the graph. + + Parameters + ---------- + i: object + Identifier of the new node + kind: string + Type of the new node. Options are: 'M' for middle node, 'CP' for + content provider and 'C' for customer. + reg2prob: float + Probability the new node can be in two different regions. + avg_deg: float + Average number of transit nodes of which node i is customer. + t_edge_prob: float + Probability node i establish a customer transit edge with a tier + one (T) node + + Returns + ------- + i: object + Identifier of the new node + """ + + regs = 1 # regions in which node resides + if self.seed.random() < reg2prob: # node is in two regions + regs = 2 + node_options = set() + + self.G.add_node(i, type=kind, peers=0) + self.customers[i] = set() + self.providers[i] = set() + self.nodes[kind].add(i) + for r in self.seed.sample(list(self.regions), regs): + node_options = node_options.union(self.regions[r]) + self.regions[r].add(i) + + edge_num = uniform_int_from_avg(1, avg_deg, self.seed) + + t_options = node_options.intersection(self.nodes["T"]) + m_options = node_options.intersection(self.nodes["M"]) + if i in m_options: + m_options.remove(i) + d = 0 + while d < edge_num and (len(t_options) > 0 or len(m_options) > 0): + if len(m_options) == 0 or ( + len(t_options) > 0 and self.seed.random() < t_edge_prob + ): # add edge to a T node + j = self.choose_node_pref_attach(t_options) + t_options.remove(j) + else: + j = self.choose_node_pref_attach(m_options) + m_options.remove(j) + self.add_edge(i, j, "transit") + self.add_customer(i, j) + d += 1 + + return i + + def add_m_peering_link(self, m, to_kind): + """Add a peering link between two middle tier (M) nodes. + + Target node j is drawn considering a preferential attachment based on + other M node peering degree. + + Parameters + ---------- + m: object + Node identifier + to_kind: string + type for target node j (must be always M) + + Returns + ------- + success: boolean + """ + + # candidates are of type 'M' and are not customers of m + node_options = self.nodes["M"].difference(self.customers[m]) + # candidates are not providers of m + node_options = node_options.difference(self.providers[m]) + # remove self + if m in node_options: + node_options.remove(m) + + # remove candidates we are already connected to + for j in self.G.neighbors(m): + if j in node_options: + node_options.remove(j) + + if len(node_options) > 0: + j = self.choose_peer_pref_attach(node_options) + self.add_edge(m, j, "peer") + self.G.nodes[m]["peers"] += 1 + self.G.nodes[j]["peers"] += 1 + return True + else: + return False + + def add_cp_peering_link(self, cp, to_kind): + """Add a peering link to a content provider (CP) node. + + Target node j can be CP or M and it is drawn uniformly among the nodes + belonging to the same region as cp. + + Parameters + ---------- + cp: object + Node identifier + to_kind: string + type for target node j (must be M or CP) + + Returns + ------- + success: boolean + """ + + node_options = set() + for r in self.regions: # options include nodes in the same region(s) + if cp in self.regions[r]: + node_options = node_options.union(self.regions[r]) + + # options are restricted to the indicated kind ('M' or 'CP') + node_options = self.nodes[to_kind].intersection(node_options) + + # remove self + if cp in node_options: + node_options.remove(cp) + + # remove nodes that are cp's providers + node_options = node_options.difference(self.providers[cp]) + + # remove nodes we are already connected to + for j in self.G.neighbors(cp): + if j in node_options: + node_options.remove(j) + + if len(node_options) > 0: + j = self.seed.sample(list(node_options), 1)[0] + self.add_edge(cp, j, "peer") + self.G.nodes[cp]["peers"] += 1 + self.G.nodes[j]["peers"] += 1 + return True + else: + return False + + def graph_regions(self, rn): + """Initializes AS network regions. + + Parameters + ---------- + rn: integer + Number of regions + """ + + self.regions = {} + for i in range(rn): + self.regions["REG" + str(i)] = set() + + def add_peering_links(self, from_kind, to_kind): + """Utility function to add peering links among node groups.""" + peer_link_method = None + if from_kind == "M": + peer_link_method = self.add_m_peering_link + m = self.p_m_m + if from_kind == "CP": + peer_link_method = self.add_cp_peering_link + if to_kind == "M": + m = self.p_cp_m + else: + m = self.p_cp_cp + + for i in self.nodes[from_kind]: + num = uniform_int_from_avg(0, m, self.seed) + for _ in range(num): + peer_link_method(i, to_kind) + + def generate(self): + """Generates a random AS network graph as described in [1]. + + Returns + ------- + G: Graph object + + Notes + ----- + The process steps are the following: first we create the core network + of tier one nodes, then we add the middle tier (M), the content + provider (CP) and the customer (C) nodes along with their transit edges + (link i,j means i is customer of j). Finally we add peering links + between M nodes, between M and CP nodes and between CP node couples. + For a detailed description of the algorithm, please refer to [1]. + + References + ---------- + [1] A. Elmokashfi, A. Kvalbein and C. Dovrolis, "On the Scalability of + BGP: The Role of Topology Growth," in IEEE Journal on Selected Areas + in Communications, vol. 28, no. 8, pp. 1250-1261, October 2010. + """ + + self.graph_regions(5) + self.customers = {} + self.providers = {} + self.nodes = {"T": set(), "M": set(), "CP": set(), "C": set()} + + self.t_graph() + self.nodes["T"] = set(self.G.nodes()) + + i = len(self.nodes["T"]) + for _ in range(self.n_m): + self.nodes["M"].add(self.add_node(i, "M", 0.2, self.d_m, self.t_m)) + i += 1 + for _ in range(self.n_cp): + self.nodes["CP"].add(self.add_node(i, "CP", 0.05, self.d_cp, self.t_cp)) + i += 1 + for _ in range(self.n_c): + self.nodes["C"].add(self.add_node(i, "C", 0, self.d_c, self.t_c)) + i += 1 + + self.add_peering_links("M", "M") + self.add_peering_links("CP", "M") + self.add_peering_links("CP", "CP") + + return self.G + + +@py_random_state(1) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_internet_as_graph(n, seed=None): + """Generates a random undirected graph resembling the Internet AS network + + Parameters + ---------- + n: integer in [1000, 10000] + Number of graph nodes + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G: Networkx Graph object + A randomly generated undirected graph + + Notes + ----- + This algorithm returns an undirected graph resembling the Internet + Autonomous System (AS) network, it uses the approach by Elmokashfi et al. + [1]_ and it grants the properties described in the related paper [1]_. + + Each node models an autonomous system, with an attribute 'type' specifying + its kind; tier-1 (T), mid-level (M), customer (C) or content-provider (CP). + Each edge models an ADV communication link (hence, bidirectional) with + attributes: + + - type: transit|peer, the kind of commercial agreement between nodes; + - customer: , the identifier of the node acting as customer + ('none' if type is peer). + + References + ---------- + .. [1] A. Elmokashfi, A. Kvalbein and C. Dovrolis, "On the Scalability of + BGP: The Role of Topology Growth," in IEEE Journal on Selected Areas + in Communications, vol. 28, no. 8, pp. 1250-1261, October 2010. + """ + + GG = AS_graph_generator(n, seed) + G = GG.generate() + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/intersection.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/intersection.py new file mode 100644 index 0000000000000000000000000000000000000000..e63af5be8eed2e65b9cced2cc50827ffe6a802ba --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/intersection.py @@ -0,0 +1,125 @@ +""" +Generators for random intersection graphs. +""" + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = [ + "uniform_random_intersection_graph", + "k_random_intersection_graph", + "general_random_intersection_graph", +] + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def uniform_random_intersection_graph(n, m, p, seed=None): + """Returns a uniform random intersection graph. + + Parameters + ---------- + n : int + The number of nodes in the first bipartite set (nodes) + m : int + The number of nodes in the second bipartite set (attributes) + p : float + Probability of connecting nodes between bipartite sets + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + See Also + -------- + gnp_random_graph + + References + ---------- + .. [1] K.B. Singer-Cohen, Random Intersection Graphs, 1995, + PhD thesis, Johns Hopkins University + .. [2] Fill, J. A., Scheinerman, E. R., and Singer-Cohen, K. B., + Random intersection graphs when m = !(n): + An equivalence theorem relating the evolution of the g(n, m, p) + and g(n, p) models. Random Struct. Algorithms 16, 2 (2000), 156–176. + """ + from networkx.algorithms import bipartite + + G = bipartite.random_graph(n, m, p, seed) + return nx.projected_graph(G, range(n)) + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def k_random_intersection_graph(n, m, k, seed=None): + """Returns a intersection graph with randomly chosen attribute sets for + each node that are of equal size (k). + + Parameters + ---------- + n : int + The number of nodes in the first bipartite set (nodes) + m : int + The number of nodes in the second bipartite set (attributes) + k : float + Size of attribute set to assign to each node. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + See Also + -------- + gnp_random_graph, uniform_random_intersection_graph + + References + ---------- + .. [1] Godehardt, E., and Jaworski, J. + Two models of random intersection graphs and their applications. + Electronic Notes in Discrete Mathematics 10 (2001), 129--132. + """ + G = nx.empty_graph(n + m) + mset = range(n, n + m) + for v in range(n): + targets = seed.sample(mset, k) + G.add_edges_from(zip([v] * len(targets), targets)) + return nx.projected_graph(G, range(n)) + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def general_random_intersection_graph(n, m, p, seed=None): + """Returns a random intersection graph with independent probabilities + for connections between node and attribute sets. + + Parameters + ---------- + n : int + The number of nodes in the first bipartite set (nodes) + m : int + The number of nodes in the second bipartite set (attributes) + p : list of floats of length m + Probabilities for connecting nodes to each attribute + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + See Also + -------- + gnp_random_graph, uniform_random_intersection_graph + + References + ---------- + .. [1] Nikoletseas, S. E., Raptopoulos, C., and Spirakis, P. G. + The existence and efficient construction of large independent sets + in general random intersection graphs. In ICALP (2004), J. D´ıaz, + J. Karhum¨aki, A. Lepist¨o, and D. Sannella, Eds., vol. 3142 + of Lecture Notes in Computer Science, Springer, pp. 1029–1040. + """ + if len(p) != m: + raise ValueError("Probability list p must have m elements.") + G = nx.empty_graph(n + m) + mset = range(n, n + m) + for u in range(n): + for v, q in zip(mset, p): + if seed.random() < q: + G.add_edge(u, v) + return nx.projected_graph(G, range(n)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/interval_graph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/interval_graph.py new file mode 100644 index 0000000000000000000000000000000000000000..6a3fda45acec52af6a5f060b96d9af1067fc002b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/interval_graph.py @@ -0,0 +1,70 @@ +""" +Generators for interval graph. +""" + +from collections.abc import Sequence + +import networkx as nx + +__all__ = ["interval_graph"] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def interval_graph(intervals): + """Generates an interval graph for a list of intervals given. + + In graph theory, an interval graph is an undirected graph formed from a set + of closed intervals on the real line, with a vertex for each interval + and an edge between vertices whose intervals intersect. + It is the intersection graph of the intervals. + + More information can be found at: + https://en.wikipedia.org/wiki/Interval_graph + + Parameters + ---------- + intervals : a sequence of intervals, say (l, r) where l is the left end, + and r is the right end of the closed interval. + + Returns + ------- + G : networkx graph + + Examples + -------- + >>> intervals = [(-2, 3), [1, 4], (2, 3), (4, 6)] + >>> G = nx.interval_graph(intervals) + >>> sorted(G.edges) + [((-2, 3), (1, 4)), ((-2, 3), (2, 3)), ((1, 4), (2, 3)), ((1, 4), (4, 6))] + + Raises + ------ + :exc:`TypeError` + if `intervals` contains None or an element which is not + collections.abc.Sequence or not a length of 2. + :exc:`ValueError` + if `intervals` contains an interval such that min1 > max1 + where min1,max1 = interval + """ + intervals = list(intervals) + for interval in intervals: + if not (isinstance(interval, Sequence) and len(interval) == 2): + raise TypeError( + "Each interval must have length 2, and be a " + "collections.abc.Sequence such as tuple or list." + ) + if interval[0] > interval[1]: + raise ValueError(f"Interval must have lower value first. Got {interval}") + + graph = nx.Graph() + + tupled_intervals = [tuple(interval) for interval in intervals] + graph.add_nodes_from(tupled_intervals) + + while tupled_intervals: + min1, max1 = interval1 = tupled_intervals.pop() + for interval2 in tupled_intervals: + min2, max2 = interval2 + if max1 >= min2 and max2 >= min1: + graph.add_edge(interval1, interval2) + return graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/joint_degree_seq.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/joint_degree_seq.py new file mode 100644 index 0000000000000000000000000000000000000000..c426df944ad27aef4584371838a6ddb280b90dca --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/joint_degree_seq.py @@ -0,0 +1,664 @@ +"""Generate graphs with a given joint degree and directed joint degree""" + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = [ + "is_valid_joint_degree", + "is_valid_directed_joint_degree", + "joint_degree_graph", + "directed_joint_degree_graph", +] + + +@nx._dispatchable(graphs=None) +def is_valid_joint_degree(joint_degrees): + """Checks whether the given joint degree dictionary is realizable. + + A *joint degree dictionary* is a dictionary of dictionaries, in + which entry ``joint_degrees[k][l]`` is an integer representing the + number of edges joining nodes of degree *k* with nodes of degree + *l*. Such a dictionary is realizable as a simple graph if and only + if the following conditions are satisfied. + + - each entry must be an integer, + - the total number of nodes of degree *k*, computed by + ``sum(joint_degrees[k].values()) / k``, must be an integer, + - the total number of edges joining nodes of degree *k* with + nodes of degree *l* cannot exceed the total number of possible edges, + - each diagonal entry ``joint_degrees[k][k]`` must be even (this is + a convention assumed by the :func:`joint_degree_graph` function). + + + Parameters + ---------- + joint_degrees : dictionary of dictionary of integers + A joint degree dictionary in which entry ``joint_degrees[k][l]`` + is the number of edges joining nodes of degree *k* with nodes of + degree *l*. + + Returns + ------- + bool + Whether the given joint degree dictionary is realizable as a + simple graph. + + References + ---------- + .. [1] M. Gjoka, M. Kurant, A. Markopoulou, "2.5K Graphs: from Sampling + to Generation", IEEE Infocom, 2013. + .. [2] I. Stanton, A. Pinar, "Constructing and sampling graphs with a + prescribed joint degree distribution", Journal of Experimental + Algorithmics, 2012. + """ + + degree_count = {} + for k in joint_degrees: + if k > 0: + k_size = sum(joint_degrees[k].values()) / k + if not k_size.is_integer(): + return False + degree_count[k] = k_size + + for k in joint_degrees: + for l in joint_degrees[k]: + if not float(joint_degrees[k][l]).is_integer(): + return False + + if (k != l) and (joint_degrees[k][l] > degree_count[k] * degree_count[l]): + return False + elif k == l: + if joint_degrees[k][k] > degree_count[k] * (degree_count[k] - 1): + return False + if joint_degrees[k][k] % 2 != 0: + return False + + # if all above conditions have been satisfied then the input + # joint degree is realizable as a simple graph. + return True + + +def _neighbor_switch(G, w, unsat, h_node_residual, avoid_node_id=None): + """Releases one free stub for ``w``, while preserving joint degree in G. + + Parameters + ---------- + G : NetworkX graph + Graph in which the neighbor switch will take place. + w : integer + Node id for which we will execute this neighbor switch. + unsat : set of integers + Set of unsaturated node ids that have the same degree as w. + h_node_residual: dictionary of integers + Keeps track of the remaining stubs for a given node. + avoid_node_id: integer + Node id to avoid when selecting w_prime. + + Notes + ----- + First, it selects *w_prime*, an unsaturated node that has the same degree + as ``w``. Second, it selects *switch_node*, a neighbor node of ``w`` that + is not connected to *w_prime*. Then it executes an edge swap i.e. removes + (``w``,*switch_node*) and adds (*w_prime*,*switch_node*). Gjoka et. al. [1] + prove that such an edge swap is always possible. + + References + ---------- + .. [1] M. Gjoka, B. Tillman, A. Markopoulou, "Construction of Simple + Graphs with a Target Joint Degree Matrix and Beyond", IEEE Infocom, '15 + """ + + if (avoid_node_id is None) or (h_node_residual[avoid_node_id] > 1): + # select unsaturated node w_prime that has the same degree as w + w_prime = next(iter(unsat)) + else: + # assume that the node pair (v,w) has been selected for connection. if + # - neighbor_switch is called for node w, + # - nodes v and w have the same degree, + # - node v=avoid_node_id has only one stub left, + # then prevent v=avoid_node_id from being selected as w_prime. + + iter_var = iter(unsat) + while True: + w_prime = next(iter_var) + if w_prime != avoid_node_id: + break + + # select switch_node, a neighbor of w, that is not connected to w_prime + w_prime_neighbs = G[w_prime] # slightly faster declaring this variable + for v in G[w]: + if (v not in w_prime_neighbs) and (v != w_prime): + switch_node = v + break + + # remove edge (w,switch_node), add edge (w_prime,switch_node) and update + # data structures + G.remove_edge(w, switch_node) + G.add_edge(w_prime, switch_node) + h_node_residual[w] += 1 + h_node_residual[w_prime] -= 1 + if h_node_residual[w_prime] == 0: + unsat.remove(w_prime) + + +@py_random_state(1) +@nx._dispatchable(graphs=None, returns_graph=True) +def joint_degree_graph(joint_degrees, seed=None): + """Generates a random simple graph with the given joint degree dictionary. + + Parameters + ---------- + joint_degrees : dictionary of dictionary of integers + A joint degree dictionary in which entry ``joint_degrees[k][l]`` is the + number of edges joining nodes of degree *k* with nodes of degree *l*. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : Graph + A graph with the specified joint degree dictionary. + + Raises + ------ + NetworkXError + If *joint_degrees* dictionary is not realizable. + + Notes + ----- + In each iteration of the "while loop" the algorithm picks two disconnected + nodes *v* and *w*, of degree *k* and *l* correspondingly, for which + ``joint_degrees[k][l]`` has not reached its target yet. It then adds + edge (*v*, *w*) and increases the number of edges in graph G by one. + + The intelligence of the algorithm lies in the fact that it is always + possible to add an edge between such disconnected nodes *v* and *w*, + even if one or both nodes do not have free stubs. That is made possible by + executing a "neighbor switch", an edge rewiring move that releases + a free stub while keeping the joint degree of G the same. + + The algorithm continues for E (number of edges) iterations of + the "while loop", at the which point all entries of the given + ``joint_degrees[k][l]`` have reached their target values and the + construction is complete. + + References + ---------- + .. [1] M. Gjoka, B. Tillman, A. Markopoulou, "Construction of Simple + Graphs with a Target Joint Degree Matrix and Beyond", IEEE Infocom, '15 + + Examples + -------- + >>> joint_degrees = { + ... 1: {4: 1}, + ... 2: {2: 2, 3: 2, 4: 2}, + ... 3: {2: 2, 4: 1}, + ... 4: {1: 1, 2: 2, 3: 1}, + ... } + >>> G = nx.joint_degree_graph(joint_degrees) + >>> + """ + + if not is_valid_joint_degree(joint_degrees): + msg = "Input joint degree dict not realizable as a simple graph" + raise nx.NetworkXError(msg) + + # compute degree count from joint_degrees + degree_count = {k: sum(l.values()) // k for k, l in joint_degrees.items() if k > 0} + + # start with empty N-node graph + N = sum(degree_count.values()) + G = nx.empty_graph(N) + + # for a given degree group, keep the list of all node ids + h_degree_nodelist = {} + + # for a given node, keep track of the remaining stubs + h_node_residual = {} + + # populate h_degree_nodelist and h_node_residual + nodeid = 0 + for degree, num_nodes in degree_count.items(): + h_degree_nodelist[degree] = range(nodeid, nodeid + num_nodes) + for v in h_degree_nodelist[degree]: + h_node_residual[v] = degree + nodeid += int(num_nodes) + + # iterate over every degree pair (k,l) and add the number of edges given + # for each pair + for k in joint_degrees: + for l in joint_degrees[k]: + # n_edges_add is the number of edges to add for the + # degree pair (k,l) + n_edges_add = joint_degrees[k][l] + + if (n_edges_add > 0) and (k >= l): + # number of nodes with degree k and l + k_size = degree_count[k] + l_size = degree_count[l] + + # k_nodes and l_nodes consist of all nodes of degree k and l + k_nodes = h_degree_nodelist[k] + l_nodes = h_degree_nodelist[l] + + # k_unsat and l_unsat consist of nodes of degree k and l that + # are unsaturated (nodes that have at least 1 available stub) + k_unsat = {v for v in k_nodes if h_node_residual[v] > 0} + + if k != l: + l_unsat = {w for w in l_nodes if h_node_residual[w] > 0} + else: + l_unsat = k_unsat + n_edges_add = joint_degrees[k][l] // 2 + + while n_edges_add > 0: + # randomly pick nodes v and w that have degrees k and l + v = k_nodes[seed.randrange(k_size)] + w = l_nodes[seed.randrange(l_size)] + + # if nodes v and w are disconnected then attempt to connect + if not G.has_edge(v, w) and (v != w): + # if node v has no free stubs then do neighbor switch + if h_node_residual[v] == 0: + _neighbor_switch(G, v, k_unsat, h_node_residual) + + # if node w has no free stubs then do neighbor switch + if h_node_residual[w] == 0: + if k != l: + _neighbor_switch(G, w, l_unsat, h_node_residual) + else: + _neighbor_switch( + G, w, l_unsat, h_node_residual, avoid_node_id=v + ) + + # add edge (v, w) and update data structures + G.add_edge(v, w) + h_node_residual[v] -= 1 + h_node_residual[w] -= 1 + n_edges_add -= 1 + + if h_node_residual[v] == 0: + k_unsat.discard(v) + if h_node_residual[w] == 0: + l_unsat.discard(w) + return G + + +@nx._dispatchable(graphs=None) +def is_valid_directed_joint_degree(in_degrees, out_degrees, nkk): + """Checks whether the given directed joint degree input is realizable + + Parameters + ---------- + in_degrees : list of integers + in degree sequence contains the in degrees of nodes. + out_degrees : list of integers + out degree sequence contains the out degrees of nodes. + nkk : dictionary of dictionary of integers + directed joint degree dictionary. for nodes of out degree k (first + level of dict) and nodes of in degree l (second level of dict) + describes the number of edges. + + Returns + ------- + boolean + returns true if given input is realizable, else returns false. + + Notes + ----- + Here is the list of conditions that the inputs (in/out degree sequences, + nkk) need to satisfy for simple directed graph realizability: + + - Condition 0: in_degrees and out_degrees have the same length + - Condition 1: nkk[k][l] is integer for all k,l + - Condition 2: sum(nkk[k])/k = number of nodes with partition id k, is an + integer and matching degree sequence + - Condition 3: number of edges and non-chords between k and l cannot exceed + maximum possible number of edges + + + References + ---------- + [1] B. Tillman, A. Markopoulou, C. T. Butts & M. Gjoka, + "Construction of Directed 2K Graphs". In Proc. of KDD 2017. + """ + V = {} # number of nodes with in/out degree. + forbidden = {} + if len(in_degrees) != len(out_degrees): + return False + + for idx in range(len(in_degrees)): + i = in_degrees[idx] + o = out_degrees[idx] + V[(i, 0)] = V.get((i, 0), 0) + 1 + V[(o, 1)] = V.get((o, 1), 0) + 1 + + forbidden[(o, i)] = forbidden.get((o, i), 0) + 1 + + S = {} # number of edges going from in/out degree nodes. + for k in nkk: + for l in nkk[k]: + val = nkk[k][l] + if not float(val).is_integer(): # condition 1 + return False + + if val > 0: + S[(k, 1)] = S.get((k, 1), 0) + val + S[(l, 0)] = S.get((l, 0), 0) + val + # condition 3 + if val + forbidden.get((k, l), 0) > V[(k, 1)] * V[(l, 0)]: + return False + + return all(S[s] / s[0] == V[s] for s in S) + + +def _directed_neighbor_switch( + G, w, unsat, h_node_residual_out, chords, h_partition_in, partition +): + """Releases one free stub for node w, while preserving joint degree in G. + + Parameters + ---------- + G : networkx directed graph + graph within which the edge swap will take place. + w : integer + node id for which we need to perform a neighbor switch. + unsat: set of integers + set of node ids that have the same degree as w and are unsaturated. + h_node_residual_out: dict of integers + for a given node, keeps track of the remaining stubs to be added. + chords: set of tuples + keeps track of available positions to add edges. + h_partition_in: dict of integers + for a given node, keeps track of its partition id (in degree). + partition: integer + partition id to check if chords have to be updated. + + Notes + ----- + First, it selects node w_prime that (1) has the same degree as w and + (2) is unsaturated. Then, it selects node v, a neighbor of w, that is + not connected to w_prime and does an edge swap i.e. removes (w,v) and + adds (w_prime,v). If neighbor switch is not possible for w using + w_prime and v, then return w_prime; in [1] it's proven that + such unsaturated nodes can be used. + + References + ---------- + [1] B. Tillman, A. Markopoulou, C. T. Butts & M. Gjoka, + "Construction of Directed 2K Graphs". In Proc. of KDD 2017. + """ + w_prime = unsat.pop() + unsat.add(w_prime) + # select node t, a neighbor of w, that is not connected to w_prime + w_neighbs = list(G.successors(w)) + # slightly faster declaring this variable + w_prime_neighbs = list(G.successors(w_prime)) + + for v in w_neighbs: + if (v not in w_prime_neighbs) and w_prime != v: + # removes (w,v), add (w_prime,v) and update data structures + G.remove_edge(w, v) + G.add_edge(w_prime, v) + + if h_partition_in[v] == partition: + chords.add((w, v)) + chords.discard((w_prime, v)) + + h_node_residual_out[w] += 1 + h_node_residual_out[w_prime] -= 1 + if h_node_residual_out[w_prime] == 0: + unsat.remove(w_prime) + return None + + # If neighbor switch didn't work, use unsaturated node + return w_prime + + +def _directed_neighbor_switch_rev( + G, w, unsat, h_node_residual_in, chords, h_partition_out, partition +): + """The reverse of directed_neighbor_switch. + + Parameters + ---------- + G : networkx directed graph + graph within which the edge swap will take place. + w : integer + node id for which we need to perform a neighbor switch. + unsat: set of integers + set of node ids that have the same degree as w and are unsaturated. + h_node_residual_in: dict of integers + for a given node, keeps track of the remaining stubs to be added. + chords: set of tuples + keeps track of available positions to add edges. + h_partition_out: dict of integers + for a given node, keeps track of its partition id (out degree). + partition: integer + partition id to check if chords have to be updated. + + Notes + ----- + Same operation as directed_neighbor_switch except it handles this operation + for incoming edges instead of outgoing. + """ + w_prime = unsat.pop() + unsat.add(w_prime) + # slightly faster declaring these as variables. + w_neighbs = list(G.predecessors(w)) + w_prime_neighbs = list(G.predecessors(w_prime)) + # select node v, a neighbor of w, that is not connected to w_prime. + for v in w_neighbs: + if (v not in w_prime_neighbs) and w_prime != v: + # removes (v,w), add (v,w_prime) and update data structures. + G.remove_edge(v, w) + G.add_edge(v, w_prime) + if h_partition_out[v] == partition: + chords.add((v, w)) + chords.discard((v, w_prime)) + + h_node_residual_in[w] += 1 + h_node_residual_in[w_prime] -= 1 + if h_node_residual_in[w_prime] == 0: + unsat.remove(w_prime) + return None + + # If neighbor switch didn't work, use the unsaturated node. + return w_prime + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def directed_joint_degree_graph(in_degrees, out_degrees, nkk, seed=None): + """Generates a random simple directed graph with the joint degree. + + Parameters + ---------- + degree_seq : list of tuples (of size 3) + degree sequence contains tuples of nodes with node id, in degree and + out degree. + nkk : dictionary of dictionary of integers + directed joint degree dictionary, for nodes of out degree k (first + level of dict) and nodes of in degree l (second level of dict) + describes the number of edges. + seed : hashable object, optional + Seed for random number generator. + + Returns + ------- + G : Graph + A directed graph with the specified inputs. + + Raises + ------ + NetworkXError + If degree_seq and nkk are not realizable as a simple directed graph. + + + Notes + ----- + Similarly to the undirected version: + In each iteration of the "while loop" the algorithm picks two disconnected + nodes v and w, of degree k and l correspondingly, for which nkk[k][l] has + not reached its target yet i.e. (for given k,l): n_edges_add < nkk[k][l]. + It then adds edge (v,w) and always increases the number of edges in graph G + by one. + + The intelligence of the algorithm lies in the fact that it is always + possible to add an edge between disconnected nodes v and w, for which + nkk[degree(v)][degree(w)] has not reached its target, even if one or both + nodes do not have free stubs. If either node v or w does not have a free + stub, we perform a "neighbor switch", an edge rewiring move that releases a + free stub while keeping nkk the same. + + The difference for the directed version lies in the fact that neighbor + switches might not be able to rewire, but in these cases unsaturated nodes + can be reassigned to use instead, see [1] for detailed description and + proofs. + + The algorithm continues for E (number of edges in the graph) iterations of + the "while loop", at which point all entries of the given nkk[k][l] have + reached their target values and the construction is complete. + + References + ---------- + [1] B. Tillman, A. Markopoulou, C. T. Butts & M. Gjoka, + "Construction of Directed 2K Graphs". In Proc. of KDD 2017. + + Examples + -------- + >>> in_degrees = [0, 1, 1, 2] + >>> out_degrees = [1, 1, 1, 1] + >>> nkk = {1: {1: 2, 2: 2}} + >>> G = nx.directed_joint_degree_graph(in_degrees, out_degrees, nkk) + >>> + """ + if not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk): + msg = "Input is not realizable as a simple graph" + raise nx.NetworkXError(msg) + + # start with an empty directed graph. + G = nx.DiGraph() + + # for a given group, keep the list of all node ids. + h_degree_nodelist_in = {} + h_degree_nodelist_out = {} + # for a given group, keep the list of all unsaturated node ids. + h_degree_nodelist_in_unsat = {} + h_degree_nodelist_out_unsat = {} + # for a given node, keep track of the remaining stubs to be added. + h_node_residual_out = {} + h_node_residual_in = {} + # for a given node, keep track of the partition id. + h_partition_out = {} + h_partition_in = {} + # keep track of non-chords between pairs of partition ids. + non_chords = {} + + # populate data structures + for idx, i in enumerate(in_degrees): + idx = int(idx) + if i > 0: + h_degree_nodelist_in.setdefault(i, []) + h_degree_nodelist_in_unsat.setdefault(i, set()) + h_degree_nodelist_in[i].append(idx) + h_degree_nodelist_in_unsat[i].add(idx) + h_node_residual_in[idx] = i + h_partition_in[idx] = i + + for idx, o in enumerate(out_degrees): + o = out_degrees[idx] + non_chords[(o, in_degrees[idx])] = non_chords.get((o, in_degrees[idx]), 0) + 1 + idx = int(idx) + if o > 0: + h_degree_nodelist_out.setdefault(o, []) + h_degree_nodelist_out_unsat.setdefault(o, set()) + h_degree_nodelist_out[o].append(idx) + h_degree_nodelist_out_unsat[o].add(idx) + h_node_residual_out[idx] = o + h_partition_out[idx] = o + + G.add_node(idx) + + nk_in = {} + nk_out = {} + for p in h_degree_nodelist_in: + nk_in[p] = len(h_degree_nodelist_in[p]) + for p in h_degree_nodelist_out: + nk_out[p] = len(h_degree_nodelist_out[p]) + + # iterate over every degree pair (k,l) and add the number of edges given + # for each pair. + for k in nkk: + for l in nkk[k]: + n_edges_add = nkk[k][l] + + if n_edges_add > 0: + # chords contains a random set of potential edges. + chords = set() + + k_len = nk_out[k] + l_len = nk_in[l] + chords_sample = seed.sample( + range(k_len * l_len), n_edges_add + non_chords.get((k, l), 0) + ) + + num = 0 + while len(chords) < n_edges_add: + i = h_degree_nodelist_out[k][chords_sample[num] % k_len] + j = h_degree_nodelist_in[l][chords_sample[num] // k_len] + num += 1 + if i != j: + chords.add((i, j)) + + # k_unsat and l_unsat consist of nodes of in/out degree k and l + # that are unsaturated i.e. those nodes that have at least one + # available stub + k_unsat = h_degree_nodelist_out_unsat[k] + l_unsat = h_degree_nodelist_in_unsat[l] + + while n_edges_add > 0: + v, w = chords.pop() + chords.add((v, w)) + + # if node v has no free stubs then do neighbor switch. + if h_node_residual_out[v] == 0: + _v = _directed_neighbor_switch( + G, + v, + k_unsat, + h_node_residual_out, + chords, + h_partition_in, + l, + ) + if _v is not None: + v = _v + + # if node w has no free stubs then do neighbor switch. + if h_node_residual_in[w] == 0: + _w = _directed_neighbor_switch_rev( + G, + w, + l_unsat, + h_node_residual_in, + chords, + h_partition_out, + k, + ) + if _w is not None: + w = _w + + # add edge (v,w) and update data structures. + G.add_edge(v, w) + h_node_residual_out[v] -= 1 + h_node_residual_in[w] -= 1 + n_edges_add -= 1 + chords.discard((v, w)) + + if h_node_residual_out[v] == 0: + k_unsat.discard(v) + if h_node_residual_in[w] == 0: + l_unsat.discard(w) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/lattice.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/lattice.py new file mode 100644 index 0000000000000000000000000000000000000000..95e520d2ce1fbbd16c10f42348807062f855e50b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/lattice.py @@ -0,0 +1,367 @@ +"""Functions for generating grid graphs and lattices + +The :func:`grid_2d_graph`, :func:`triangular_lattice_graph`, and +:func:`hexagonal_lattice_graph` functions correspond to the three +`regular tilings of the plane`_, the square, triangular, and hexagonal +tilings, respectively. :func:`grid_graph` and :func:`hypercube_graph` +are similar for arbitrary dimensions. Useful relevant discussion can +be found about `Triangular Tiling`_, and `Square, Hex and Triangle Grids`_ + +.. _regular tilings of the plane: https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds#Euclidean_tilings +.. _Square, Hex and Triangle Grids: http://www-cs-students.stanford.edu/~amitp/game-programming/grids/ +.. _Triangular Tiling: https://en.wikipedia.org/wiki/Triangular_tiling + +""" + +from itertools import repeat +from math import sqrt + +import networkx as nx +from networkx.classes import set_node_attributes +from networkx.exception import NetworkXError +from networkx.generators.classic import cycle_graph, empty_graph, path_graph +from networkx.relabel import relabel_nodes +from networkx.utils import flatten, nodes_or_number, pairwise + +__all__ = [ + "grid_2d_graph", + "grid_graph", + "hypercube_graph", + "triangular_lattice_graph", + "hexagonal_lattice_graph", +] + + +@nx._dispatchable(graphs=None, returns_graph=True) +@nodes_or_number([0, 1]) +def grid_2d_graph(m, n, periodic=False, create_using=None): + """Returns the two-dimensional grid graph. + + The grid graph has each node connected to its four nearest neighbors. + + Parameters + ---------- + m, n : int or iterable container of nodes + If an integer, nodes are from `range(n)`. + If a container, elements become the coordinate of the nodes. + + periodic : bool or iterable + If `periodic` is True, both dimensions are periodic. If False, none + are periodic. If `periodic` is iterable, it should yield 2 bool + values indicating whether the 1st and 2nd axes, respectively, are + periodic. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + NetworkX graph + The (possibly periodic) grid graph of the specified dimensions. + + """ + G = empty_graph(0, create_using) + row_name, rows = m + col_name, cols = n + G.add_nodes_from((i, j) for i in rows for j in cols) + G.add_edges_from(((i, j), (pi, j)) for pi, i in pairwise(rows) for j in cols) + G.add_edges_from(((i, j), (i, pj)) for i in rows for pj, j in pairwise(cols)) + + try: + periodic_r, periodic_c = periodic + except TypeError: + periodic_r = periodic_c = periodic + + if periodic_r and len(rows) > 2: + first = rows[0] + last = rows[-1] + G.add_edges_from(((first, j), (last, j)) for j in cols) + if periodic_c and len(cols) > 2: + first = cols[0] + last = cols[-1] + G.add_edges_from(((i, first), (i, last)) for i in rows) + # both directions for directed + if G.is_directed(): + G.add_edges_from((v, u) for u, v in G.edges()) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def grid_graph(dim, periodic=False): + """Returns the *n*-dimensional grid graph. + + The dimension *n* is the length of the list `dim` and the size in + each dimension is the value of the corresponding list element. + + Parameters + ---------- + dim : list or tuple of numbers or iterables of nodes + 'dim' is a tuple or list with, for each dimension, either a number + that is the size of that dimension or an iterable of nodes for + that dimension. The dimension of the grid_graph is the length + of `dim`. + + periodic : bool or iterable + If `periodic` is True, all dimensions are periodic. If False all + dimensions are not periodic. If `periodic` is iterable, it should + yield `dim` bool values each of which indicates whether the + corresponding axis is periodic. + + Returns + ------- + NetworkX graph + The (possibly periodic) grid graph of the specified dimensions. + + Examples + -------- + To produce a 2 by 3 by 4 grid graph, a graph on 24 nodes: + + >>> from networkx import grid_graph + >>> G = grid_graph(dim=(2, 3, 4)) + >>> len(G) + 24 + >>> G = grid_graph(dim=(range(7, 9), range(3, 6))) + >>> len(G) + 6 + """ + from networkx.algorithms.operators.product import cartesian_product + + if not dim: + return empty_graph(0) + + try: + func = (cycle_graph if p else path_graph for p in periodic) + except TypeError: + func = repeat(cycle_graph if periodic else path_graph) + + G = next(func)(dim[0]) + for current_dim in dim[1:]: + Gnew = next(func)(current_dim) + G = cartesian_product(Gnew, G) + # graph G is done but has labels of the form (1, (2, (3, 1))) so relabel + H = relabel_nodes(G, flatten) + return H + + +@nx._dispatchable(graphs=None, returns_graph=True) +def hypercube_graph(n): + """Returns the *n*-dimensional hypercube graph. + + The nodes are the integers between 0 and ``2 ** n - 1``, inclusive. + + For more information on the hypercube graph, see the Wikipedia + article `Hypercube graph`_. + + .. _Hypercube graph: https://en.wikipedia.org/wiki/Hypercube_graph + + Parameters + ---------- + n : int + The dimension of the hypercube. + The number of nodes in the graph will be ``2 ** n``. + + Returns + ------- + NetworkX graph + The hypercube graph of dimension *n*. + """ + dim = n * [2] + G = grid_graph(dim) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def triangular_lattice_graph( + m, n, periodic=False, with_positions=True, create_using=None +): + r"""Returns the $m$ by $n$ triangular lattice graph. + + The `triangular lattice graph`_ is a two-dimensional `grid graph`_ in + which each square unit has a diagonal edge (each grid unit has a chord). + + The returned graph has $m$ rows and $n$ columns of triangles. Rows and + columns include both triangles pointing up and down. Rows form a strip + of constant height. Columns form a series of diamond shapes, staggered + with the columns on either side. Another way to state the size is that + the nodes form a grid of `m+1` rows and `(n + 1) // 2` columns. + The odd row nodes are shifted horizontally relative to the even rows. + + Directed graph types have edges pointed up or right. + + Positions of nodes are computed by default or `with_positions is True`. + The position of each node (embedded in a euclidean plane) is stored in + the graph using equilateral triangles with sidelength 1. + The height between rows of nodes is thus $\sqrt(3)/2$. + Nodes lie in the first quadrant with the node $(0, 0)$ at the origin. + + .. _triangular lattice graph: http://mathworld.wolfram.com/TriangularGrid.html + .. _grid graph: http://www-cs-students.stanford.edu/~amitp/game-programming/grids/ + .. _Triangular Tiling: https://en.wikipedia.org/wiki/Triangular_tiling + + Parameters + ---------- + m : int + The number of rows in the lattice. + + n : int + The number of columns in the lattice. + + periodic : bool (default: False) + If True, join the boundary vertices of the grid using periodic + boundary conditions. The join between boundaries is the final row + and column of triangles. This means there is one row and one column + fewer nodes for the periodic lattice. Periodic lattices require + `m >= 3`, `n >= 5` and are allowed but misaligned if `m` or `n` are odd + + with_positions : bool (default: True) + Store the coordinates of each node in the graph node attribute 'pos'. + The coordinates provide a lattice with equilateral triangles. + Periodic positions shift the nodes vertically in a nonlinear way so + the edges don't overlap so much. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + NetworkX graph + The *m* by *n* triangular lattice graph. + """ + H = empty_graph(0, create_using) + if n == 0 or m == 0: + return H + if periodic: + if n < 5 or m < 3: + msg = f"m > 2 and n > 4 required for periodic. m={m}, n={n}" + raise NetworkXError(msg) + + N = (n + 1) // 2 # number of nodes in row + rows = range(m + 1) + cols = range(N + 1) + # Make grid + H.add_edges_from(((i, j), (i + 1, j)) for j in rows for i in cols[:N]) + H.add_edges_from(((i, j), (i, j + 1)) for j in rows[:m] for i in cols) + # add diagonals + H.add_edges_from(((i, j), (i + 1, j + 1)) for j in rows[1:m:2] for i in cols[:N]) + H.add_edges_from(((i + 1, j), (i, j + 1)) for j in rows[:m:2] for i in cols[:N]) + # identify boundary nodes if periodic + from networkx.algorithms.minors import contracted_nodes + + if periodic is True: + for i in cols: + H = contracted_nodes(H, (i, 0), (i, m)) + for j in rows[:m]: + H = contracted_nodes(H, (0, j), (N, j)) + elif n % 2: + # remove extra nodes + H.remove_nodes_from((N, j) for j in rows[1::2]) + + # Add position node attributes + if with_positions: + ii = (i for i in cols for j in rows) + jj = (j for i in cols for j in rows) + xx = (0.5 * (j % 2) + i for i in cols for j in rows) + h = sqrt(3) / 2 + if periodic: + yy = (h * j + 0.01 * i * i for i in cols for j in rows) + else: + yy = (h * j for i in cols for j in rows) + pos = {(i, j): (x, y) for i, j, x, y in zip(ii, jj, xx, yy) if (i, j) in H} + set_node_attributes(H, pos, "pos") + return H + + +@nx._dispatchable(graphs=None, returns_graph=True) +def hexagonal_lattice_graph( + m, n, periodic=False, with_positions=True, create_using=None +): + """Returns an `m` by `n` hexagonal lattice graph. + + The *hexagonal lattice graph* is a graph whose nodes and edges are + the `hexagonal tiling`_ of the plane. + + The returned graph will have `m` rows and `n` columns of hexagons. + `Odd numbered columns`_ are shifted up relative to even numbered columns. + + Positions of nodes are computed by default or `with_positions is True`. + Node positions creating the standard embedding in the plane + with sidelength 1 and are stored in the node attribute 'pos'. + `pos = nx.get_node_attributes(G, 'pos')` creates a dict ready for drawing. + + .. _hexagonal tiling: https://en.wikipedia.org/wiki/Hexagonal_tiling + .. _Odd numbered columns: http://www-cs-students.stanford.edu/~amitp/game-programming/grids/ + + Parameters + ---------- + m : int + The number of rows of hexagons in the lattice. + + n : int + The number of columns of hexagons in the lattice. + + periodic : bool + Whether to make a periodic grid by joining the boundary vertices. + For this to work `n` must be even and both `n > 1` and `m > 1`. + The periodic connections create another row and column of hexagons + so these graphs have fewer nodes as boundary nodes are identified. + + with_positions : bool (default: True) + Store the coordinates of each node in the graph node attribute 'pos'. + The coordinates provide a lattice with vertical columns of hexagons + offset to interleave and cover the plane. + Periodic positions shift the nodes vertically in a nonlinear way so + the edges don't overlap so much. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + If graph is directed, edges will point up or right. + + Returns + ------- + NetworkX graph + The *m* by *n* hexagonal lattice graph. + """ + G = empty_graph(0, create_using) + if m == 0 or n == 0: + return G + if periodic and (n % 2 == 1 or m < 2 or n < 2): + msg = "periodic hexagonal lattice needs m > 1, n > 1 and even n" + raise NetworkXError(msg) + + M = 2 * m # twice as many nodes as hexagons vertically + rows = range(M + 2) + cols = range(n + 1) + # make lattice + col_edges = (((i, j), (i, j + 1)) for i in cols for j in rows[: M + 1]) + row_edges = (((i, j), (i + 1, j)) for i in cols[:n] for j in rows if i % 2 == j % 2) + G.add_edges_from(col_edges) + G.add_edges_from(row_edges) + # Remove corner nodes with one edge + G.remove_node((0, M + 1)) + G.remove_node((n, (M + 1) * (n % 2))) + + # identify boundary nodes if periodic + from networkx.algorithms.minors import contracted_nodes + + if periodic: + for i in cols[:n]: + G = contracted_nodes(G, (i, 0), (i, M)) + for i in cols[1:]: + G = contracted_nodes(G, (i, 1), (i, M + 1)) + for j in rows[1:M]: + G = contracted_nodes(G, (0, j), (n, j)) + G.remove_node((n, M)) + + # calc position in embedded space + ii = (i for i in cols for j in rows) + jj = (j for i in cols for j in rows) + xx = (0.5 + i + i // 2 + (j % 2) * ((i % 2) - 0.5) for i in cols for j in rows) + h = sqrt(3) / 2 + if periodic: + yy = (h * j + 0.01 * i * i for i in cols for j in rows) + else: + yy = (h * j for i in cols for j in rows) + # exclude nodes not in G + pos = {(i, j): (x, y) for i, j, x, y in zip(ii, jj, xx, yy) if (i, j) in G} + set_node_attributes(G, pos, "pos") + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/line.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/line.py new file mode 100644 index 0000000000000000000000000000000000000000..87d251827f5118cd97d7e575a8553f44b7e041c3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/line.py @@ -0,0 +1,500 @@ +"""Functions for generating line graphs.""" + +from collections import defaultdict +from functools import partial +from itertools import combinations + +import networkx as nx +from networkx.utils import arbitrary_element +from networkx.utils.decorators import not_implemented_for + +__all__ = ["line_graph", "inverse_line_graph"] + + +@nx._dispatchable(returns_graph=True) +def line_graph(G, create_using=None): + r"""Returns the line graph of the graph or digraph `G`. + + The line graph of a graph `G` has a node for each edge in `G` and an + edge joining those nodes if the two edges in `G` share a common node. For + directed graphs, nodes are adjacent exactly when the edges they represent + form a directed path of length two. + + The nodes of the line graph are 2-tuples of nodes in the original graph (or + 3-tuples for multigraphs, with the key of the edge as the third element). + + For information about self-loops and more discussion, see the **Notes** + section below. + + Parameters + ---------- + G : graph + A NetworkX Graph, DiGraph, MultiGraph, or MultiDigraph. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + L : graph + The line graph of G. + + Examples + -------- + >>> G = nx.star_graph(3) + >>> L = nx.line_graph(G) + >>> print(sorted(map(sorted, L.edges()))) # makes a 3-clique, K3 + [[(0, 1), (0, 2)], [(0, 1), (0, 3)], [(0, 2), (0, 3)]] + + Edge attributes from `G` are not copied over as node attributes in `L`, but + attributes can be copied manually: + + >>> G = nx.path_graph(4) + >>> G.add_edges_from((u, v, {"tot": u + v}) for u, v in G.edges) + >>> G.edges(data=True) + EdgeDataView([(0, 1, {'tot': 1}), (1, 2, {'tot': 3}), (2, 3, {'tot': 5})]) + >>> H = nx.line_graph(G) + >>> H.add_nodes_from((node, G.edges[node]) for node in H) + >>> H.nodes(data=True) + NodeDataView({(0, 1): {'tot': 1}, (2, 3): {'tot': 5}, (1, 2): {'tot': 3}}) + + Notes + ----- + Graph, node, and edge data are not propagated to the new graph. For + undirected graphs, the nodes in G must be sortable, otherwise the + constructed line graph may not be correct. + + *Self-loops in undirected graphs* + + For an undirected graph `G` without multiple edges, each edge can be + written as a set `\{u, v\}`. Its line graph `L` has the edges of `G` as + its nodes. If `x` and `y` are two nodes in `L`, then `\{x, y\}` is an edge + in `L` if and only if the intersection of `x` and `y` is nonempty. Thus, + the set of all edges is determined by the set of all pairwise intersections + of edges in `G`. + + Trivially, every edge in G would have a nonzero intersection with itself, + and so every node in `L` should have a self-loop. This is not so + interesting, and the original context of line graphs was with simple + graphs, which had no self-loops or multiple edges. The line graph was also + meant to be a simple graph and thus, self-loops in `L` are not part of the + standard definition of a line graph. In a pairwise intersection matrix, + this is analogous to excluding the diagonal entries from the line graph + definition. + + Self-loops and multiple edges in `G` add nodes to `L` in a natural way, and + do not require any fundamental changes to the definition. It might be + argued that the self-loops we excluded before should now be included. + However, the self-loops are still "trivial" in some sense and thus, are + usually excluded. + + *Self-loops in directed graphs* + + For a directed graph `G` without multiple edges, each edge can be written + as a tuple `(u, v)`. Its line graph `L` has the edges of `G` as its + nodes. If `x` and `y` are two nodes in `L`, then `(x, y)` is an edge in `L` + if and only if the tail of `x` matches the head of `y`, for example, if `x + = (a, b)` and `y = (b, c)` for some vertices `a`, `b`, and `c` in `G`. + + Due to the directed nature of the edges, it is no longer the case that + every edge in `G` should have a self-loop in `L`. Now, the only time + self-loops arise is if a node in `G` itself has a self-loop. So such + self-loops are no longer "trivial" but instead, represent essential + features of the topology of `G`. For this reason, the historical + development of line digraphs is such that self-loops are included. When the + graph `G` has multiple edges, once again only superficial changes are + required to the definition. + + References + ---------- + * Harary, Frank, and Norman, Robert Z., "Some properties of line digraphs", + Rend. Circ. Mat. Palermo, II. Ser. 9 (1960), 161--168. + * Hemminger, R. L.; Beineke, L. W. (1978), "Line graphs and line digraphs", + in Beineke, L. W.; Wilson, R. J., Selected Topics in Graph Theory, + Academic Press Inc., pp. 271--305. + + """ + if G.is_directed(): + L = _lg_directed(G, create_using=create_using) + else: + L = _lg_undirected(G, selfloops=False, create_using=create_using) + return L + + +def _lg_directed(G, create_using=None): + """Returns the line graph L of the (multi)digraph G. + + Edges in G appear as nodes in L, represented as tuples of the form (u,v) + or (u,v,key) if G is a multidigraph. A node in L corresponding to the edge + (u,v) is connected to every node corresponding to an edge (v,w). + + Parameters + ---------- + G : digraph + A directed graph or directed multigraph. + create_using : NetworkX graph constructor, optional + Graph type to create. If graph instance, then cleared before populated. + Default is to use the same graph class as `G`. + + """ + L = nx.empty_graph(0, create_using, default=G.__class__) + + # Create a graph specific edge function. + get_edges = partial(G.edges, keys=True) if G.is_multigraph() else G.edges + + for from_node in get_edges(): + # from_node is: (u,v) or (u,v,key) + L.add_node(from_node) + for to_node in get_edges(from_node[1]): + L.add_edge(from_node, to_node) + + return L + + +def _lg_undirected(G, selfloops=False, create_using=None): + """Returns the line graph L of the (multi)graph G. + + Edges in G appear as nodes in L, represented as sorted tuples of the form + (u,v), or (u,v,key) if G is a multigraph. A node in L corresponding to + the edge {u,v} is connected to every node corresponding to an edge that + involves u or v. + + Parameters + ---------- + G : graph + An undirected graph or multigraph. + selfloops : bool + If `True`, then self-loops are included in the line graph. If `False`, + they are excluded. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Notes + ----- + The standard algorithm for line graphs of undirected graphs does not + produce self-loops. + + """ + L = nx.empty_graph(0, create_using, default=G.__class__) + + # Graph specific functions for edges. + get_edges = partial(G.edges, keys=True) if G.is_multigraph() else G.edges + + # Determine if we include self-loops or not. + shift = 0 if selfloops else 1 + + # Introduce numbering of nodes + node_index = {n: i for i, n in enumerate(G)} + + # Lift canonical representation of nodes to edges in line graph + edge_key_function = lambda edge: (node_index[edge[0]], node_index[edge[1]]) + + edges = set() + for u in G: + # Label nodes as a sorted tuple of nodes in original graph. + # Decide on representation of {u, v} as (u, v) or (v, u) depending on node_index. + # -> This ensures a canonical representation and avoids comparing values of different types. + nodes = [tuple(sorted(x[:2], key=node_index.get)) + x[2:] for x in get_edges(u)] + + if len(nodes) == 1: + # Then the edge will be an isolated node in L. + L.add_node(nodes[0]) + + # Add a clique of `nodes` to graph. To prevent double adding edges, + # especially important for multigraphs, we store the edges in + # canonical form in a set. + for i, a in enumerate(nodes): + edges.update( + [ + tuple(sorted((a, b), key=edge_key_function)) + for b in nodes[i + shift :] + ] + ) + + L.add_edges_from(edges) + return L + + +@not_implemented_for("directed") +@not_implemented_for("multigraph") +@nx._dispatchable(returns_graph=True) +def inverse_line_graph(G): + """Returns the inverse line graph of graph G. + + If H is a graph, and G is the line graph of H, such that G = L(H). + Then H is the inverse line graph of G. + + Not all graphs are line graphs and these do not have an inverse line graph. + In these cases this function raises a NetworkXError. + + Parameters + ---------- + G : graph + A NetworkX Graph + + Returns + ------- + H : graph + The inverse line graph of G. + + Raises + ------ + NetworkXNotImplemented + If G is directed or a multigraph + + NetworkXError + If G is not a line graph + + Notes + ----- + This is an implementation of the Roussopoulos algorithm[1]_. + + If G consists of multiple components, then the algorithm doesn't work. + You should invert every component separately: + + >>> K5 = nx.complete_graph(5) + >>> P4 = nx.Graph([("a", "b"), ("b", "c"), ("c", "d")]) + >>> G = nx.union(K5, P4) + >>> root_graphs = [] + >>> for comp in nx.connected_components(G): + ... root_graphs.append(nx.inverse_line_graph(G.subgraph(comp))) + >>> len(root_graphs) + 2 + + References + ---------- + .. [1] Roussopoulos, N.D. , "A max {m, n} algorithm for determining the graph H from + its line graph G", Information Processing Letters 2, (1973), 108--112, ISSN 0020-0190, + `DOI link `_ + + """ + if G.number_of_nodes() == 0: + return nx.empty_graph(1) + elif G.number_of_nodes() == 1: + v = arbitrary_element(G) + a = (v, 0) + b = (v, 1) + H = nx.Graph([(a, b)]) + return H + elif G.number_of_nodes() > 1 and G.number_of_edges() == 0: + msg = ( + "inverse_line_graph() doesn't work on an edgeless graph. " + "Please use this function on each component separately." + ) + raise nx.NetworkXError(msg) + + if nx.number_of_selfloops(G) != 0: + msg = ( + "A line graph as generated by NetworkX has no selfloops, so G has no " + "inverse line graph. Please remove the selfloops from G and try again." + ) + raise nx.NetworkXError(msg) + + starting_cell = _select_starting_cell(G) + P = _find_partition(G, starting_cell) + # count how many times each vertex appears in the partition set + P_count = {u: 0 for u in G.nodes} + for p in P: + for u in p: + P_count[u] += 1 + + if max(P_count.values()) > 2: + msg = "G is not a line graph (vertex found in more than two partition cells)" + raise nx.NetworkXError(msg) + W = tuple((u,) for u in P_count if P_count[u] == 1) + H = nx.Graph() + H.add_nodes_from(P) + H.add_nodes_from(W) + for a, b in combinations(H.nodes, 2): + if any(a_bit in b for a_bit in a): + H.add_edge(a, b) + return H + + +def _triangles(G, e): + """Return list of all triangles containing edge e""" + u, v = e + if u not in G: + raise nx.NetworkXError(f"Vertex {u} not in graph") + if v not in G[u]: + raise nx.NetworkXError(f"Edge ({u}, {v}) not in graph") + triangle_list = [] + for x in G[u]: + if x in G[v]: + triangle_list.append((u, v, x)) + return triangle_list + + +def _odd_triangle(G, T): + """Test whether T is an odd triangle in G + + Parameters + ---------- + G : NetworkX Graph + T : 3-tuple of vertices forming triangle in G + + Returns + ------- + True is T is an odd triangle + False otherwise + + Raises + ------ + NetworkXError + T is not a triangle in G + + Notes + ----- + An odd triangle is one in which there exists another vertex in G which is + adjacent to either exactly one or exactly all three of the vertices in the + triangle. + + """ + for u in T: + if u not in G.nodes(): + raise nx.NetworkXError(f"Vertex {u} not in graph") + for e in list(combinations(T, 2)): + if e[0] not in G[e[1]]: + raise nx.NetworkXError(f"Edge ({e[0]}, {e[1]}) not in graph") + + T_nbrs = defaultdict(int) + for t in T: + for v in G[t]: + if v not in T: + T_nbrs[v] += 1 + return any(T_nbrs[v] in [1, 3] for v in T_nbrs) + + +def _find_partition(G, starting_cell): + """Find a partition of the vertices of G into cells of complete graphs + + Parameters + ---------- + G : NetworkX Graph + starting_cell : tuple of vertices in G which form a cell + + Returns + ------- + List of tuples of vertices of G + + Raises + ------ + NetworkXError + If a cell is not a complete subgraph then G is not a line graph + """ + G_partition = G.copy() + P = [starting_cell] # partition set + G_partition.remove_edges_from(list(combinations(starting_cell, 2))) + # keep list of partitioned nodes which might have an edge in G_partition + partitioned_vertices = list(starting_cell) + while G_partition.number_of_edges() > 0: + # there are still edges left and so more cells to be made + u = partitioned_vertices.pop() + deg_u = len(G_partition[u]) + if deg_u != 0: + # if u still has edges then we need to find its other cell + # this other cell must be a complete subgraph or else G is + # not a line graph + new_cell = [u] + list(G_partition[u]) + for u in new_cell: + for v in new_cell: + if (u != v) and (v not in G_partition[u]): + msg = ( + "G is not a line graph " + "(partition cell not a complete subgraph)" + ) + raise nx.NetworkXError(msg) + P.append(tuple(new_cell)) + G_partition.remove_edges_from(list(combinations(new_cell, 2))) + partitioned_vertices += new_cell + return P + + +def _select_starting_cell(G, starting_edge=None): + """Select a cell to initiate _find_partition + + Parameters + ---------- + G : NetworkX Graph + starting_edge: an edge to build the starting cell from + + Returns + ------- + Tuple of vertices in G + + Raises + ------ + NetworkXError + If it is determined that G is not a line graph + + Notes + ----- + If starting edge not specified then pick an arbitrary edge - doesn't + matter which. However, this function may call itself requiring a + specific starting edge. Note that the r, s notation for counting + triangles is the same as in the Roussopoulos paper cited above. + """ + if starting_edge is None: + e = arbitrary_element(G.edges()) + else: + e = starting_edge + if e[0] not in G.nodes(): + raise nx.NetworkXError(f"Vertex {e[0]} not in graph") + if e[1] not in G[e[0]]: + msg = f"starting_edge ({e[0]}, {e[1]}) is not in the Graph" + raise nx.NetworkXError(msg) + e_triangles = _triangles(G, e) + r = len(e_triangles) + if r == 0: + # there are no triangles containing e, so the starting cell is just e + starting_cell = e + elif r == 1: + # there is exactly one triangle, T, containing e. If other 2 edges + # of T belong only to this triangle then T is starting cell + T = e_triangles[0] + a, b, c = T + # ab was original edge so check the other 2 edges + ac_edges = len(_triangles(G, (a, c))) + bc_edges = len(_triangles(G, (b, c))) + if ac_edges == 1: + if bc_edges == 1: + starting_cell = T + else: + return _select_starting_cell(G, starting_edge=(b, c)) + else: + return _select_starting_cell(G, starting_edge=(a, c)) + else: + # r >= 2 so we need to count the number of odd triangles, s + s = 0 + odd_triangles = [] + for T in e_triangles: + if _odd_triangle(G, T): + s += 1 + odd_triangles.append(T) + if r == 2 and s == 0: + # in this case either triangle works, so just use T + starting_cell = T + elif r - 1 <= s <= r: + # check if odd triangles containing e form complete subgraph + triangle_nodes = set() + for T in odd_triangles: + for x in T: + triangle_nodes.add(x) + + for u in triangle_nodes: + for v in triangle_nodes: + if u != v and (v not in G[u]): + msg = ( + "G is not a line graph (odd triangles " + "do not form complete subgraph)" + ) + raise nx.NetworkXError(msg) + # otherwise then we can use this as the starting cell + starting_cell = tuple(triangle_nodes) + + else: + msg = ( + "G is not a line graph (incorrect number of " + "odd triangles around starting edge)" + ) + raise nx.NetworkXError(msg) + return starting_cell diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/mycielski.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/mycielski.py new file mode 100644 index 0000000000000000000000000000000000000000..804b903692853d3c45b3b1b20898efeee9b71a5e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/mycielski.py @@ -0,0 +1,110 @@ +"""Functions related to the Mycielski Operation and the Mycielskian family +of graphs. + +""" + +import networkx as nx +from networkx.utils import not_implemented_for + +__all__ = ["mycielskian", "mycielski_graph"] + + +@not_implemented_for("directed") +@not_implemented_for("multigraph") +@nx._dispatchable(returns_graph=True) +def mycielskian(G, iterations=1): + r"""Returns the Mycielskian of a simple, undirected graph G + + The Mycielskian of graph preserves a graph's triangle free + property while increasing the chromatic number by 1. + + The Mycielski Operation on a graph, :math:`G=(V, E)`, constructs a new + graph with :math:`2|V| + 1` nodes and :math:`3|E| + |V|` edges. + + The construction is as follows: + + Let :math:`V = {0, ..., n-1}`. Construct another vertex set + :math:`U = {n, ..., 2n}` and a vertex, `w`. + Construct a new graph, `M`, with vertices :math:`U \bigcup V \bigcup w`. + For edges, :math:`(u, v) \in E` add edges :math:`(u, v), (u, v + n)`, and + :math:`(u + n, v)` to M. Finally, for all vertices :math:`u \in U`, add + edge :math:`(u, w)` to M. + + The Mycielski Operation can be done multiple times by repeating the above + process iteratively. + + More information can be found at https://en.wikipedia.org/wiki/Mycielskian + + Parameters + ---------- + G : graph + A simple, undirected NetworkX graph + iterations : int + The number of iterations of the Mycielski operation to + perform on G. Defaults to 1. Must be a non-negative integer. + + Returns + ------- + M : graph + The Mycielskian of G after the specified number of iterations. + + Notes + ----- + Graph, node, and edge data are not necessarily propagated to the new graph. + + """ + + M = nx.convert_node_labels_to_integers(G) + + for i in range(iterations): + n = M.number_of_nodes() + M.add_nodes_from(range(n, 2 * n)) + old_edges = list(M.edges()) + M.add_edges_from((u, v + n) for u, v in old_edges) + M.add_edges_from((u + n, v) for u, v in old_edges) + M.add_node(2 * n) + M.add_edges_from((u + n, 2 * n) for u in range(n)) + + return M + + +@nx._dispatchable(graphs=None, returns_graph=True) +def mycielski_graph(n): + """Generator for the n_th Mycielski Graph. + + The Mycielski family of graphs is an infinite set of graphs. + :math:`M_1` is the singleton graph, :math:`M_2` is two vertices with an + edge, and, for :math:`i > 2`, :math:`M_i` is the Mycielskian of + :math:`M_{i-1}`. + + More information can be found at + http://mathworld.wolfram.com/MycielskiGraph.html + + Parameters + ---------- + n : int + The desired Mycielski Graph. + + Returns + ------- + M : graph + The n_th Mycielski Graph + + Notes + ----- + The first graph in the Mycielski sequence is the singleton graph. + The Mycielskian of this graph is not the :math:`P_2` graph, but rather the + :math:`P_2` graph with an extra, isolated vertex. The second Mycielski + graph is the :math:`P_2` graph, so the first two are hard coded. + The remaining graphs are generated using the Mycielski operation. + + """ + + if n < 1: + raise nx.NetworkXError("must satisfy n >= 1") + + if n == 1: + return nx.empty_graph(1) + + else: + return mycielskian(nx.path_graph(2), n - 2) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/nonisomorphic_trees.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/nonisomorphic_trees.py new file mode 100644 index 0000000000000000000000000000000000000000..9716cf33834ac5d083c4dd402224dd3df1011af3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/nonisomorphic_trees.py @@ -0,0 +1,212 @@ +""" +Implementation of the Wright, Richmond, Odlyzko and McKay (WROM) +algorithm for the enumeration of all non-isomorphic free trees of a +given order. Rooted trees are represented by level sequences, i.e., +lists in which the i-th element specifies the distance of vertex i to +the root. + +""" + +__all__ = ["nonisomorphic_trees", "number_of_nonisomorphic_trees"] + +import networkx as nx + + +@nx._dispatchable(graphs=None, returns_graph=True) +def nonisomorphic_trees(order, create="graph"): + """Generates lists of nonisomorphic trees + + Parameters + ---------- + order : int + order of the desired tree(s) + + create : one of {"graph", "matrix"} (default="graph") + If ``"graph"`` is selected a list of ``Graph`` instances will be returned, + if matrix is selected a list of adjacency matrices will be returned. + + .. deprecated:: 3.3 + + The `create` argument is deprecated and will be removed in NetworkX + version 3.5. In the future, `nonisomorphic_trees` will yield graph + instances by default. To generate adjacency matrices, call + ``nx.to_numpy_array`` on the output, e.g.:: + + [nx.to_numpy_array(G) for G in nx.nonisomorphic_trees(N)] + + Yields + ------ + list + A list of nonisomorphic trees, in one of two formats depending on the + value of the `create` parameter: + - ``create="graph"``: yields a list of `networkx.Graph` instances + - ``create="matrix"``: yields a list of list-of-lists representing adjacency matrices + """ + + if order < 2: + raise ValueError + # start at the path graph rooted at its center + layout = list(range(order // 2 + 1)) + list(range(1, (order + 1) // 2)) + + while layout is not None: + layout = _next_tree(layout) + if layout is not None: + if create == "graph": + yield _layout_to_graph(layout) + elif create == "matrix": + import warnings + + warnings.warn( + ( + "\n\nThe 'create=matrix' argument of nonisomorphic_trees\n" + "is deprecated and will be removed in version 3.5.\n" + "Use ``nx.to_numpy_array`` to convert graphs to adjacency " + "matrices, e.g.::\n\n" + " [nx.to_numpy_array(G) for G in nx.nonisomorphic_trees(N)]" + ), + category=DeprecationWarning, + stacklevel=2, + ) + + yield _layout_to_matrix(layout) + layout = _next_rooted_tree(layout) + + +@nx._dispatchable(graphs=None) +def number_of_nonisomorphic_trees(order): + """Returns the number of nonisomorphic trees + + Parameters + ---------- + order : int + order of the desired tree(s) + + Returns + ------- + length : Number of nonisomorphic graphs for the given order + + References + ---------- + + """ + return sum(1 for _ in nonisomorphic_trees(order)) + + +def _next_rooted_tree(predecessor, p=None): + """One iteration of the Beyer-Hedetniemi algorithm.""" + + if p is None: + p = len(predecessor) - 1 + while predecessor[p] == 1: + p -= 1 + if p == 0: + return None + + q = p - 1 + while predecessor[q] != predecessor[p] - 1: + q -= 1 + result = list(predecessor) + for i in range(p, len(result)): + result[i] = result[i - p + q] + return result + + +def _next_tree(candidate): + """One iteration of the Wright, Richmond, Odlyzko and McKay + algorithm.""" + + # valid representation of a free tree if: + # there are at least two vertices at layer 1 + # (this is always the case because we start at the path graph) + left, rest = _split_tree(candidate) + + # and the left subtree of the root + # is less high than the tree with the left subtree removed + left_height = max(left) + rest_height = max(rest) + valid = rest_height >= left_height + + if valid and rest_height == left_height: + # and, if left and rest are of the same height, + # if left does not encompass more vertices + if len(left) > len(rest): + valid = False + # and, if they have the same number or vertices, + # if left does not come after rest lexicographically + elif len(left) == len(rest) and left > rest: + valid = False + + if valid: + return candidate + else: + # jump to the next valid free tree + p = len(left) + new_candidate = _next_rooted_tree(candidate, p) + if candidate[p] > 2: + new_left, new_rest = _split_tree(new_candidate) + new_left_height = max(new_left) + suffix = range(1, new_left_height + 2) + new_candidate[-len(suffix) :] = suffix + return new_candidate + + +def _split_tree(layout): + """Returns a tuple of two layouts, one containing the left + subtree of the root vertex, and one containing the original tree + with the left subtree removed.""" + + one_found = False + m = None + for i in range(len(layout)): + if layout[i] == 1: + if one_found: + m = i + break + else: + one_found = True + + if m is None: + m = len(layout) + + left = [layout[i] - 1 for i in range(1, m)] + rest = [0] + [layout[i] for i in range(m, len(layout))] + return (left, rest) + + +def _layout_to_matrix(layout): + """Create the adjacency matrix for the tree specified by the + given layout (level sequence).""" + + result = [[0] * len(layout) for i in range(len(layout))] + stack = [] + for i in range(len(layout)): + i_level = layout[i] + if stack: + j = stack[-1] + j_level = layout[j] + while j_level >= i_level: + stack.pop() + j = stack[-1] + j_level = layout[j] + result[i][j] = result[j][i] = 1 + stack.append(i) + return result + + +def _layout_to_graph(layout): + """Create a NetworkX Graph for the tree specified by the + given layout(level sequence)""" + G = nx.Graph() + stack = [] + for i in range(len(layout)): + i_level = layout[i] + if stack: + j = stack[-1] + j_level = layout[j] + while j_level >= i_level: + stack.pop() + j = stack[-1] + j_level = layout[j] + G.add_edge(i, j) + stack.append(i) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/random_clustered.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/random_clustered.py new file mode 100644 index 0000000000000000000000000000000000000000..8fbf855e672d3c50f1e74952cc2272143fbac57a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/random_clustered.py @@ -0,0 +1,117 @@ +"""Generate graphs with given degree and triangle sequence.""" + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = ["random_clustered_graph"] + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_clustered_graph(joint_degree_sequence, create_using=None, seed=None): + r"""Generate a random graph with the given joint independent edge degree and + triangle degree sequence. + + This uses a configuration model-like approach to generate a random graph + (with parallel edges and self-loops) by randomly assigning edges to match + the given joint degree sequence. + + The joint degree sequence is a list of pairs of integers of the form + $[(d_{1,i}, d_{1,t}), \dotsc, (d_{n,i}, d_{n,t})]$. According to this list, + vertex $u$ is a member of $d_{u,t}$ triangles and has $d_{u, i}$ other + edges. The number $d_{u,t}$ is the *triangle degree* of $u$ and the number + $d_{u,i}$ is the *independent edge degree*. + + Parameters + ---------- + joint_degree_sequence : list of integer pairs + Each list entry corresponds to the independent edge degree and + triangle degree of a node. + create_using : NetworkX graph constructor, optional (default MultiGraph) + Graph type to create. If graph instance, then cleared before populated. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + G : MultiGraph + A graph with the specified degree sequence. Nodes are labeled + starting at 0 with an index corresponding to the position in + deg_sequence. + + Raises + ------ + NetworkXError + If the independent edge degree sequence sum is not even + or the triangle degree sequence sum is not divisible by 3. + + Notes + ----- + As described by Miller [1]_ (see also Newman [2]_ for an equivalent + description). + + A non-graphical degree sequence (not realizable by some simple + graph) is allowed since this function returns graphs with self + loops and parallel edges. An exception is raised if the + independent degree sequence does not have an even sum or the + triangle degree sequence sum is not divisible by 3. + + This configuration model-like construction process can lead to + duplicate edges and loops. You can remove the self-loops and + parallel edges (see below) which will likely result in a graph + that doesn't have the exact degree sequence specified. This + "finite-size effect" decreases as the size of the graph increases. + + References + ---------- + .. [1] Joel C. Miller. "Percolation and epidemics in random clustered + networks". In: Physical review. E, Statistical, nonlinear, and soft + matter physics 80 (2 Part 1 August 2009). + .. [2] M. E. J. Newman. "Random Graphs with Clustering". + In: Physical Review Letters 103 (5 July 2009) + + Examples + -------- + >>> deg = [(1, 0), (1, 0), (1, 0), (2, 0), (1, 0), (2, 1), (0, 1), (0, 1)] + >>> G = nx.random_clustered_graph(deg) + + To remove parallel edges: + + >>> G = nx.Graph(G) + + To remove self loops: + + >>> G.remove_edges_from(nx.selfloop_edges(G)) + + """ + # In Python 3, zip() returns an iterator. Make this into a list. + joint_degree_sequence = list(joint_degree_sequence) + + N = len(joint_degree_sequence) + G = nx.empty_graph(N, create_using, default=nx.MultiGraph) + if G.is_directed(): + raise nx.NetworkXError("Directed Graph not supported") + + ilist = [] + tlist = [] + for n in G: + degrees = joint_degree_sequence[n] + for icount in range(degrees[0]): + ilist.append(n) + for tcount in range(degrees[1]): + tlist.append(n) + + if len(ilist) % 2 != 0 or len(tlist) % 3 != 0: + raise nx.NetworkXError("Invalid degree sequence") + + seed.shuffle(ilist) + seed.shuffle(tlist) + while ilist: + G.add_edge(ilist.pop(), ilist.pop()) + while tlist: + n1 = tlist.pop() + n2 = tlist.pop() + n3 = tlist.pop() + G.add_edges_from([(n1, n2), (n1, n3), (n2, n3)]) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/random_graphs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/random_graphs.py new file mode 100644 index 0000000000000000000000000000000000000000..90ae0d973ac42550280bf74db0d2fef3117d58da --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/random_graphs.py @@ -0,0 +1,1400 @@ +""" +Generators for random graphs. + +""" + +import itertools +import math +from collections import defaultdict + +import networkx as nx +from networkx.utils import py_random_state + +from ..utils.misc import check_create_using +from .classic import complete_graph, empty_graph, path_graph, star_graph +from .degree_seq import degree_sequence_tree + +__all__ = [ + "fast_gnp_random_graph", + "gnp_random_graph", + "dense_gnm_random_graph", + "gnm_random_graph", + "erdos_renyi_graph", + "binomial_graph", + "newman_watts_strogatz_graph", + "watts_strogatz_graph", + "connected_watts_strogatz_graph", + "random_regular_graph", + "barabasi_albert_graph", + "dual_barabasi_albert_graph", + "extended_barabasi_albert_graph", + "powerlaw_cluster_graph", + "random_lobster", + "random_shell_graph", + "random_powerlaw_tree", + "random_powerlaw_tree_sequence", + "random_kernel_graph", +] + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def fast_gnp_random_graph(n, p, seed=None, directed=False, *, create_using=None): + """Returns a $G_{n,p}$ random graph, also known as an Erdős-Rényi graph or + a binomial graph. + + Parameters + ---------- + n : int + The number of nodes. + p : float + Probability for edge creation. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + directed : bool, optional (default=False) + If True, this function returns a directed graph. + create_using : Graph constructor, optional (default=nx.Graph or nx.DiGraph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph types are not supported and raise a ``NetworkXError``. + By default NetworkX Graph or DiGraph are used depending on `directed`. + + Notes + ----- + The $G_{n,p}$ graph algorithm chooses each of the $[n (n - 1)] / 2$ + (undirected) or $n (n - 1)$ (directed) possible edges with probability $p$. + + This algorithm [1]_ runs in $O(n + m)$ time, where `m` is the expected number of + edges, which equals $p n (n - 1) / 2$. This should be faster than + :func:`gnp_random_graph` when $p$ is small and the expected number of edges + is small (that is, the graph is sparse). + + See Also + -------- + gnp_random_graph + + References + ---------- + .. [1] Vladimir Batagelj and Ulrik Brandes, + "Efficient generation of large random networks", + Phys. Rev. E, 71, 036113, 2005. + """ + default = nx.DiGraph if directed else nx.Graph + create_using = check_create_using( + create_using, directed=directed, multigraph=False, default=default + ) + if p <= 0 or p >= 1: + return nx.gnp_random_graph( + n, p, seed=seed, directed=directed, create_using=create_using + ) + + G = empty_graph(n, create_using=create_using) + + lp = math.log(1.0 - p) + + if directed: + v = 1 + w = -1 + while v < n: + lr = math.log(1.0 - seed.random()) + w = w + 1 + int(lr / lp) + while w >= v and v < n: + w = w - v + v = v + 1 + if v < n: + G.add_edge(w, v) + + # Nodes in graph are from 0,n-1 (start with v as the second node index). + v = 1 + w = -1 + while v < n: + lr = math.log(1.0 - seed.random()) + w = w + 1 + int(lr / lp) + while w >= v and v < n: + w = w - v + v = v + 1 + if v < n: + G.add_edge(v, w) + return G + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def gnp_random_graph(n, p, seed=None, directed=False, *, create_using=None): + """Returns a $G_{n,p}$ random graph, also known as an Erdős-Rényi graph + or a binomial graph. + + The $G_{n,p}$ model chooses each of the possible edges with probability $p$. + + Parameters + ---------- + n : int + The number of nodes. + p : float + Probability for edge creation. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + directed : bool, optional (default=False) + If True, this function returns a directed graph. + create_using : Graph constructor, optional (default=nx.Graph or nx.DiGraph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph types are not supported and raise a ``NetworkXError``. + By default NetworkX Graph or DiGraph are used depending on `directed`. + + See Also + -------- + fast_gnp_random_graph + + Notes + ----- + This algorithm [2]_ runs in $O(n^2)$ time. For sparse graphs (that is, for + small values of $p$), :func:`fast_gnp_random_graph` is a faster algorithm. + + :func:`binomial_graph` and :func:`erdos_renyi_graph` are + aliases for :func:`gnp_random_graph`. + + >>> nx.binomial_graph is nx.gnp_random_graph + True + >>> nx.erdos_renyi_graph is nx.gnp_random_graph + True + + References + ---------- + .. [1] P. Erdős and A. Rényi, On Random Graphs, Publ. Math. 6, 290 (1959). + .. [2] E. N. Gilbert, Random Graphs, Ann. Math. Stat., 30, 1141 (1959). + """ + default = nx.DiGraph if directed else nx.Graph + create_using = check_create_using( + create_using, directed=directed, multigraph=False, default=default + ) + if p >= 1: + return complete_graph(n, create_using=create_using) + + G = nx.empty_graph(n, create_using=create_using) + if p <= 0: + return G + + edgetool = itertools.permutations if directed else itertools.combinations + for e in edgetool(range(n), 2): + if seed.random() < p: + G.add_edge(*e) + return G + + +# add some aliases to common names +binomial_graph = gnp_random_graph +erdos_renyi_graph = gnp_random_graph + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def dense_gnm_random_graph(n, m, seed=None, *, create_using=None): + """Returns a $G_{n,m}$ random graph. + + In the $G_{n,m}$ model, a graph is chosen uniformly at random from the set + of all graphs with $n$ nodes and $m$ edges. + + This algorithm should be faster than :func:`gnm_random_graph` for dense + graphs. + + Parameters + ---------- + n : int + The number of nodes. + m : int + The number of edges. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + See Also + -------- + gnm_random_graph + + Notes + ----- + Algorithm by Keith M. Briggs Mar 31, 2006. + Inspired by Knuth's Algorithm S (Selection sampling technique), + in section 3.4.2 of [1]_. + + References + ---------- + .. [1] Donald E. Knuth, The Art of Computer Programming, + Volume 2/Seminumerical algorithms, Third Edition, Addison-Wesley, 1997. + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + mmax = n * (n - 1) // 2 + if m >= mmax: + return complete_graph(n, create_using) + G = empty_graph(n, create_using) + + if n == 1: + return G + + u = 0 + v = 1 + t = 0 + k = 0 + while True: + if seed.randrange(mmax - t) < m - k: + G.add_edge(u, v) + k += 1 + if k == m: + return G + t += 1 + v += 1 + if v == n: # go to next row of adjacency matrix + u += 1 + v = u + 1 + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def gnm_random_graph(n, m, seed=None, directed=False, *, create_using=None): + """Returns a $G_{n,m}$ random graph. + + In the $G_{n,m}$ model, a graph is chosen uniformly at random from the set + of all graphs with $n$ nodes and $m$ edges. + + This algorithm should be faster than :func:`dense_gnm_random_graph` for + sparse graphs. + + Parameters + ---------- + n : int + The number of nodes. + m : int + The number of edges. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + directed : bool, optional (default=False) + If True return a directed graph + create_using : Graph constructor, optional (default=nx.Graph or nx.DiGraph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph types are not supported and raise a ``NetworkXError``. + By default NetworkX Graph or DiGraph are used depending on `directed`. + + See also + -------- + dense_gnm_random_graph + + """ + default = nx.DiGraph if directed else nx.Graph + create_using = check_create_using( + create_using, directed=directed, multigraph=False, default=default + ) + if n == 1: + return nx.empty_graph(n, create_using=create_using) + max_edges = n * (n - 1) if directed else n * (n - 1) / 2.0 + if m >= max_edges: + return complete_graph(n, create_using=create_using) + + G = nx.empty_graph(n, create_using=create_using) + nlist = list(G) + edge_count = 0 + while edge_count < m: + # generate random edge,u,v + u = seed.choice(nlist) + v = seed.choice(nlist) + if u == v or G.has_edge(u, v): + continue + else: + G.add_edge(u, v) + edge_count = edge_count + 1 + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def newman_watts_strogatz_graph(n, k, p, seed=None, *, create_using=None): + """Returns a Newman–Watts–Strogatz small-world graph. + + Parameters + ---------- + n : int + The number of nodes. + k : int + Each node is joined with its `k` nearest neighbors in a ring + topology. + p : float + The probability of adding a new edge for each edge. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Notes + ----- + First create a ring over $n$ nodes [1]_. Then each node in the ring is + connected with its $k$ nearest neighbors (or $k - 1$ neighbors if $k$ + is odd). Then shortcuts are created by adding new edges as follows: for + each edge $(u, v)$ in the underlying "$n$-ring with $k$ nearest + neighbors" with probability $p$ add a new edge $(u, w)$ with + randomly-chosen existing node $w$. In contrast with + :func:`watts_strogatz_graph`, no edges are removed. + + See Also + -------- + watts_strogatz_graph + + References + ---------- + .. [1] M. E. J. Newman and D. J. Watts, + Renormalization group analysis of the small-world network model, + Physics Letters A, 263, 341, 1999. + https://doi.org/10.1016/S0375-9601(99)00757-4 + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if k > n: + raise nx.NetworkXError("k>=n, choose smaller k or larger n") + + # If k == n the graph return is a complete graph + if k == n: + return nx.complete_graph(n, create_using) + + G = empty_graph(n, create_using) + nlist = list(G.nodes()) + fromv = nlist + # connect the k/2 neighbors + for j in range(1, k // 2 + 1): + tov = fromv[j:] + fromv[0:j] # the first j are now last + for i in range(len(fromv)): + G.add_edge(fromv[i], tov[i]) + # for each edge u-v, with probability p, randomly select existing + # node w and add new edge u-w + e = list(G.edges()) + for u, v in e: + if seed.random() < p: + w = seed.choice(nlist) + # no self-loops and reject if edge u-w exists + # is that the correct NWS model? + while w == u or G.has_edge(u, w): + w = seed.choice(nlist) + if G.degree(u) >= n - 1: + break # skip this rewiring + else: + G.add_edge(u, w) + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def watts_strogatz_graph(n, k, p, seed=None, *, create_using=None): + """Returns a Watts–Strogatz small-world graph. + + Parameters + ---------- + n : int + The number of nodes + k : int + Each node is joined with its `k` nearest neighbors in a ring + topology. + p : float + The probability of rewiring each edge + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + See Also + -------- + newman_watts_strogatz_graph + connected_watts_strogatz_graph + + Notes + ----- + First create a ring over $n$ nodes [1]_. Then each node in the ring is joined + to its $k$ nearest neighbors (or $k - 1$ neighbors if $k$ is odd). + Then shortcuts are created by replacing some edges as follows: for each + edge $(u, v)$ in the underlying "$n$-ring with $k$ nearest neighbors" + with probability $p$ replace it with a new edge $(u, w)$ with uniformly + random choice of existing node $w$. + + In contrast with :func:`newman_watts_strogatz_graph`, the random rewiring + does not increase the number of edges. The rewired graph is not guaranteed + to be connected as in :func:`connected_watts_strogatz_graph`. + + References + ---------- + .. [1] Duncan J. Watts and Steven H. Strogatz, + Collective dynamics of small-world networks, + Nature, 393, pp. 440--442, 1998. + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if k > n: + raise nx.NetworkXError("k>n, choose smaller k or larger n") + + # If k == n, the graph is complete not Watts-Strogatz + if k == n: + G = nx.complete_graph(n, create_using) + return G + + G = nx.empty_graph(n, create_using=create_using) + nodes = list(range(n)) # nodes are labeled 0 to n-1 + # connect each node to k/2 neighbors + for j in range(1, k // 2 + 1): + targets = nodes[j:] + nodes[0:j] # first j nodes are now last in list + G.add_edges_from(zip(nodes, targets)) + # rewire edges from each node + # loop over all nodes in order (label) and neighbors in order (distance) + # no self loops or multiple edges allowed + for j in range(1, k // 2 + 1): # outer loop is neighbors + targets = nodes[j:] + nodes[0:j] # first j nodes are now last in list + # inner loop in node order + for u, v in zip(nodes, targets): + if seed.random() < p: + w = seed.choice(nodes) + # Enforce no self-loops or multiple edges + while w == u or G.has_edge(u, w): + w = seed.choice(nodes) + if G.degree(u) >= n - 1: + break # skip this rewiring + else: + G.remove_edge(u, v) + G.add_edge(u, w) + return G + + +@py_random_state(4) +@nx._dispatchable(graphs=None, returns_graph=True) +def connected_watts_strogatz_graph(n, k, p, tries=100, seed=None, *, create_using=None): + """Returns a connected Watts–Strogatz small-world graph. + + Attempts to generate a connected graph by repeated generation of + Watts–Strogatz small-world graphs. An exception is raised if the maximum + number of tries is exceeded. + + Parameters + ---------- + n : int + The number of nodes + k : int + Each node is joined with its `k` nearest neighbors in a ring + topology. + p : float + The probability of rewiring each edge + tries : int + Number of attempts to generate a connected graph. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Notes + ----- + First create a ring over $n$ nodes [1]_. Then each node in the ring is joined + to its $k$ nearest neighbors (or $k - 1$ neighbors if $k$ is odd). + Then shortcuts are created by replacing some edges as follows: for each + edge $(u, v)$ in the underlying "$n$-ring with $k$ nearest neighbors" + with probability $p$ replace it with a new edge $(u, w)$ with uniformly + random choice of existing node $w$. + The entire process is repeated until a connected graph results. + + See Also + -------- + newman_watts_strogatz_graph + watts_strogatz_graph + + References + ---------- + .. [1] Duncan J. Watts and Steven H. Strogatz, + Collective dynamics of small-world networks, + Nature, 393, pp. 440--442, 1998. + """ + for i in range(tries): + # seed is an RNG so should change sequence each call + G = watts_strogatz_graph(n, k, p, seed, create_using=create_using) + if nx.is_connected(G): + return G + raise nx.NetworkXError("Maximum number of tries exceeded") + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_regular_graph(d, n, seed=None, *, create_using=None): + r"""Returns a random $d$-regular graph on $n$ nodes. + + A regular graph is a graph where each node has the same number of neighbors. + + The resulting graph has no self-loops or parallel edges. + + Parameters + ---------- + d : int + The degree of each node. + n : integer + The number of nodes. The value of $n \times d$ must be even. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Notes + ----- + The nodes are numbered from $0$ to $n - 1$. + + Kim and Vu's paper [2]_ shows that this algorithm samples in an + asymptotically uniform way from the space of random graphs when + $d = O(n^{1 / 3 - \epsilon})$. + + Raises + ------ + + NetworkXError + If $n \times d$ is odd or $d$ is greater than or equal to $n$. + + References + ---------- + .. [1] A. Steger and N. Wormald, + Generating random regular graphs quickly, + Probability and Computing 8 (1999), 377-396, 1999. + https://doi.org/10.1017/S0963548399003867 + + .. [2] Jeong Han Kim and Van H. Vu, + Generating random regular graphs, + Proceedings of the thirty-fifth ACM symposium on Theory of computing, + San Diego, CA, USA, pp 213--222, 2003. + http://portal.acm.org/citation.cfm?id=780542.780576 + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if (n * d) % 2 != 0: + raise nx.NetworkXError("n * d must be even") + + if not 0 <= d < n: + raise nx.NetworkXError("the 0 <= d < n inequality must be satisfied") + + G = nx.empty_graph(n, create_using=create_using) + + if d == 0: + return G + + def _suitable(edges, potential_edges): + # Helper subroutine to check if there are suitable edges remaining + # If False, the generation of the graph has failed + if not potential_edges: + return True + for s1 in potential_edges: + for s2 in potential_edges: + # Two iterators on the same dictionary are guaranteed + # to visit it in the same order if there are no + # intervening modifications. + if s1 == s2: + # Only need to consider s1-s2 pair one time + break + if s1 > s2: + s1, s2 = s2, s1 + if (s1, s2) not in edges: + return True + return False + + def _try_creation(): + # Attempt to create an edge set + + edges = set() + stubs = list(range(n)) * d + + while stubs: + potential_edges = defaultdict(lambda: 0) + seed.shuffle(stubs) + stubiter = iter(stubs) + for s1, s2 in zip(stubiter, stubiter): + if s1 > s2: + s1, s2 = s2, s1 + if s1 != s2 and ((s1, s2) not in edges): + edges.add((s1, s2)) + else: + potential_edges[s1] += 1 + potential_edges[s2] += 1 + + if not _suitable(edges, potential_edges): + return None # failed to find suitable edge set + + stubs = [ + node + for node, potential in potential_edges.items() + for _ in range(potential) + ] + return edges + + # Even though a suitable edge set exists, + # the generation of such a set is not guaranteed. + # Try repeatedly to find one. + edges = _try_creation() + while edges is None: + edges = _try_creation() + G.add_edges_from(edges) + + return G + + +def _random_subset(seq, m, rng): + """Return m unique elements from seq. + + This differs from random.sample which can return repeated + elements if seq holds repeated elements. + + Note: rng is a random.Random or numpy.random.RandomState instance. + """ + targets = set() + while len(targets) < m: + x = rng.choice(seq) + targets.add(x) + return targets + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def barabasi_albert_graph(n, m, seed=None, initial_graph=None, *, create_using=None): + """Returns a random graph using Barabási–Albert preferential attachment + + A graph of $n$ nodes is grown by attaching new nodes each with $m$ + edges that are preferentially attached to existing nodes with high degree. + + Parameters + ---------- + n : int + Number of nodes + m : int + Number of edges to attach from a new node to existing nodes + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + initial_graph : Graph or None (default) + Initial network for Barabási–Albert algorithm. + It should be a connected graph for most use cases. + A copy of `initial_graph` is used. + If None, starts from a star graph on (m+1) nodes. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Returns + ------- + G : Graph + + Raises + ------ + NetworkXError + If `m` does not satisfy ``1 <= m < n``, or + the initial graph number of nodes m0 does not satisfy ``m <= m0 <= n``. + + References + ---------- + .. [1] A. L. Barabási and R. Albert "Emergence of scaling in + random networks", Science 286, pp 509-512, 1999. + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if m < 1 or m >= n: + raise nx.NetworkXError( + f"Barabási–Albert network must have m >= 1 and m < n, m = {m}, n = {n}" + ) + + if initial_graph is None: + # Default initial graph : star graph on (m + 1) nodes + G = star_graph(m, create_using) + else: + if len(initial_graph) < m or len(initial_graph) > n: + raise nx.NetworkXError( + f"Barabási–Albert initial graph needs between m={m} and n={n} nodes" + ) + G = initial_graph.copy() + + # List of existing nodes, with nodes repeated once for each adjacent edge + repeated_nodes = [n for n, d in G.degree() for _ in range(d)] + # Start adding the other n - m0 nodes. + source = len(G) + while source < n: + # Now choose m unique nodes from the existing nodes + # Pick uniformly from repeated_nodes (preferential attachment) + targets = _random_subset(repeated_nodes, m, seed) + # Add edges to m nodes from the source. + G.add_edges_from(zip([source] * m, targets)) + # Add one node to the list for each new edge just created. + repeated_nodes.extend(targets) + # And the new node "source" has m edges to add to the list. + repeated_nodes.extend([source] * m) + + source += 1 + return G + + +@py_random_state(4) +@nx._dispatchable(graphs=None, returns_graph=True) +def dual_barabasi_albert_graph( + n, m1, m2, p, seed=None, initial_graph=None, *, create_using=None +): + """Returns a random graph using dual Barabási–Albert preferential attachment + + A graph of $n$ nodes is grown by attaching new nodes each with either $m_1$ + edges (with probability $p$) or $m_2$ edges (with probability $1-p$) that + are preferentially attached to existing nodes with high degree. + + Parameters + ---------- + n : int + Number of nodes + m1 : int + Number of edges to link each new node to existing nodes with probability $p$ + m2 : int + Number of edges to link each new node to existing nodes with probability $1-p$ + p : float + The probability of attaching $m_1$ edges (as opposed to $m_2$ edges) + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + initial_graph : Graph or None (default) + Initial network for Barabási–Albert algorithm. + A copy of `initial_graph` is used. + It should be connected for most use cases. + If None, starts from an star graph on max(m1, m2) + 1 nodes. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Returns + ------- + G : Graph + + Raises + ------ + NetworkXError + If `m1` and `m2` do not satisfy ``1 <= m1,m2 < n``, or + `p` does not satisfy ``0 <= p <= 1``, or + the initial graph number of nodes m0 does not satisfy m1, m2 <= m0 <= n. + + References + ---------- + .. [1] N. Moshiri "The dual-Barabasi-Albert model", arXiv:1810.10538. + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if m1 < 1 or m1 >= n: + raise nx.NetworkXError( + f"Dual Barabási–Albert must have m1 >= 1 and m1 < n, m1 = {m1}, n = {n}" + ) + if m2 < 1 or m2 >= n: + raise nx.NetworkXError( + f"Dual Barabási–Albert must have m2 >= 1 and m2 < n, m2 = {m2}, n = {n}" + ) + if p < 0 or p > 1: + raise nx.NetworkXError( + f"Dual Barabási–Albert network must have 0 <= p <= 1, p = {p}" + ) + + # For simplicity, if p == 0 or 1, just return BA + if p == 1: + return barabasi_albert_graph(n, m1, seed, create_using=create_using) + elif p == 0: + return barabasi_albert_graph(n, m2, seed, create_using=create_using) + + if initial_graph is None: + # Default initial graph : star graph on max(m1, m2) nodes + G = star_graph(max(m1, m2), create_using) + else: + if len(initial_graph) < max(m1, m2) or len(initial_graph) > n: + raise nx.NetworkXError( + f"Barabási–Albert initial graph must have between " + f"max(m1, m2) = {max(m1, m2)} and n = {n} nodes" + ) + G = initial_graph.copy() + + # Target nodes for new edges + targets = list(G) + # List of existing nodes, with nodes repeated once for each adjacent edge + repeated_nodes = [n for n, d in G.degree() for _ in range(d)] + # Start adding the remaining nodes. + source = len(G) + while source < n: + # Pick which m to use (m1 or m2) + if seed.random() < p: + m = m1 + else: + m = m2 + # Now choose m unique nodes from the existing nodes + # Pick uniformly from repeated_nodes (preferential attachment) + targets = _random_subset(repeated_nodes, m, seed) + # Add edges to m nodes from the source. + G.add_edges_from(zip([source] * m, targets)) + # Add one node to the list for each new edge just created. + repeated_nodes.extend(targets) + # And the new node "source" has m edges to add to the list. + repeated_nodes.extend([source] * m) + + source += 1 + return G + + +@py_random_state(4) +@nx._dispatchable(graphs=None, returns_graph=True) +def extended_barabasi_albert_graph(n, m, p, q, seed=None, *, create_using=None): + """Returns an extended Barabási–Albert model graph. + + An extended Barabási–Albert model graph is a random graph constructed + using preferential attachment. The extended model allows new edges, + rewired edges or new nodes. Based on the probabilities $p$ and $q$ + with $p + q < 1$, the growing behavior of the graph is determined as: + + 1) With $p$ probability, $m$ new edges are added to the graph, + starting from randomly chosen existing nodes and attached preferentially at the + other end. + + 2) With $q$ probability, $m$ existing edges are rewired + by randomly choosing an edge and rewiring one end to a preferentially chosen node. + + 3) With $(1 - p - q)$ probability, $m$ new nodes are added to the graph + with edges attached preferentially. + + When $p = q = 0$, the model behaves just like the Barabási–Alber model. + + Parameters + ---------- + n : int + Number of nodes + m : int + Number of edges with which a new node attaches to existing nodes + p : float + Probability value for adding an edge between existing nodes. p + q < 1 + q : float + Probability value of rewiring of existing edges. p + q < 1 + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Returns + ------- + G : Graph + + Raises + ------ + NetworkXError + If `m` does not satisfy ``1 <= m < n`` or ``1 >= p + q`` + + References + ---------- + .. [1] Albert, R., & Barabási, A. L. (2000) + Topology of evolving networks: local events and universality + Physical review letters, 85(24), 5234. + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if m < 1 or m >= n: + msg = f"Extended Barabasi-Albert network needs m>=1 and m= 1: + msg = f"Extended Barabasi-Albert network needs p + q <= 1, p={p}, q={q}" + raise nx.NetworkXError(msg) + + # Add m initial nodes (m0 in barabasi-speak) + G = empty_graph(m, create_using) + + # List of nodes to represent the preferential attachment random selection. + # At the creation of the graph, all nodes are added to the list + # so that even nodes that are not connected have a chance to get selected, + # for rewiring and adding of edges. + # With each new edge, nodes at the ends of the edge are added to the list. + attachment_preference = [] + attachment_preference.extend(range(m)) + + # Start adding the other n-m nodes. The first node is m. + new_node = m + while new_node < n: + a_probability = seed.random() + + # Total number of edges of a Clique of all the nodes + clique_degree = len(G) - 1 + clique_size = (len(G) * clique_degree) / 2 + + # Adding m new edges, if there is room to add them + if a_probability < p and G.size() <= clique_size - m: + # Select the nodes where an edge can be added + eligible_nodes = [nd for nd, deg in G.degree() if deg < clique_degree] + for i in range(m): + # Choosing a random source node from eligible_nodes + src_node = seed.choice(eligible_nodes) + + # Picking a possible node that is not 'src_node' or + # neighbor with 'src_node', with preferential attachment + prohibited_nodes = list(G[src_node]) + prohibited_nodes.append(src_node) + # This will raise an exception if the sequence is empty + dest_node = seed.choice( + [nd for nd in attachment_preference if nd not in prohibited_nodes] + ) + # Adding the new edge + G.add_edge(src_node, dest_node) + + # Appending both nodes to add to their preferential attachment + attachment_preference.append(src_node) + attachment_preference.append(dest_node) + + # Adjusting the eligible nodes. Degree may be saturated. + if G.degree(src_node) == clique_degree: + eligible_nodes.remove(src_node) + if G.degree(dest_node) == clique_degree and dest_node in eligible_nodes: + eligible_nodes.remove(dest_node) + + # Rewiring m edges, if there are enough edges + elif p <= a_probability < (p + q) and m <= G.size() < clique_size: + # Selecting nodes that have at least 1 edge but that are not + # fully connected to ALL other nodes (center of star). + # These nodes are the pivot nodes of the edges to rewire + eligible_nodes = [nd for nd, deg in G.degree() if 0 < deg < clique_degree] + for i in range(m): + # Choosing a random source node + node = seed.choice(eligible_nodes) + + # The available nodes do have a neighbor at least. + nbr_nodes = list(G[node]) + + # Choosing the other end that will get detached + src_node = seed.choice(nbr_nodes) + + # Picking a target node that is not 'node' or + # neighbor with 'node', with preferential attachment + nbr_nodes.append(node) + dest_node = seed.choice( + [nd for nd in attachment_preference if nd not in nbr_nodes] + ) + # Rewire + G.remove_edge(node, src_node) + G.add_edge(node, dest_node) + + # Adjusting the preferential attachment list + attachment_preference.remove(src_node) + attachment_preference.append(dest_node) + + # Adjusting the eligible nodes. + # nodes may be saturated or isolated. + if G.degree(src_node) == 0 and src_node in eligible_nodes: + eligible_nodes.remove(src_node) + if dest_node in eligible_nodes: + if G.degree(dest_node) == clique_degree: + eligible_nodes.remove(dest_node) + else: + if G.degree(dest_node) == 1: + eligible_nodes.append(dest_node) + + # Adding new node with m edges + else: + # Select the edges' nodes by preferential attachment + targets = _random_subset(attachment_preference, m, seed) + G.add_edges_from(zip([new_node] * m, targets)) + + # Add one node to the list for each new edge just created. + attachment_preference.extend(targets) + # The new node has m edges to it, plus itself: m + 1 + attachment_preference.extend([new_node] * (m + 1)) + new_node += 1 + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def powerlaw_cluster_graph(n, m, p, seed=None, *, create_using=None): + """Holme and Kim algorithm for growing graphs with powerlaw + degree distribution and approximate average clustering. + + Parameters + ---------- + n : int + the number of nodes + m : int + the number of random edges to add for each new node + p : float, + Probability of adding a triangle after adding a random edge + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Notes + ----- + The average clustering has a hard time getting above a certain + cutoff that depends on `m`. This cutoff is often quite low. The + transitivity (fraction of triangles to possible triangles) seems to + decrease with network size. + + It is essentially the Barabási–Albert (BA) growth model with an + extra step that each random edge is followed by a chance of + making an edge to one of its neighbors too (and thus a triangle). + + This algorithm improves on BA in the sense that it enables a + higher average clustering to be attained if desired. + + It seems possible to have a disconnected graph with this algorithm + since the initial `m` nodes may not be all linked to a new node + on the first iteration like the BA model. + + Raises + ------ + NetworkXError + If `m` does not satisfy ``1 <= m <= n`` or `p` does not + satisfy ``0 <= p <= 1``. + + References + ---------- + .. [1] P. Holme and B. J. Kim, + "Growing scale-free networks with tunable clustering", + Phys. Rev. E, 65, 026107, 2002. + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if m < 1 or n < m: + raise nx.NetworkXError(f"NetworkXError must have m>1 and m 1 or p < 0: + raise nx.NetworkXError(f"NetworkXError p must be in [0,1], p={p}") + + G = empty_graph(m, create_using) # add m initial nodes (m0 in barabasi-speak) + repeated_nodes = list(G) # list of existing nodes to sample from + # with nodes repeated once for each adjacent edge + source = m # next node is m + while source < n: # Now add the other n-1 nodes + possible_targets = _random_subset(repeated_nodes, m, seed) + # do one preferential attachment for new node + target = possible_targets.pop() + G.add_edge(source, target) + repeated_nodes.append(target) # add one node to list for each new link + count = 1 + while count < m: # add m-1 more new links + if seed.random() < p: # clustering step: add triangle + neighborhood = [ + nbr + for nbr in G.neighbors(target) + if not G.has_edge(source, nbr) and nbr != source + ] + if neighborhood: # if there is a neighbor without a link + nbr = seed.choice(neighborhood) + G.add_edge(source, nbr) # add triangle + repeated_nodes.append(nbr) + count = count + 1 + continue # go to top of while loop + # else do preferential attachment step if above fails + target = possible_targets.pop() + G.add_edge(source, target) + repeated_nodes.append(target) + count = count + 1 + + repeated_nodes.extend([source] * m) # add source node to list m times + source += 1 + return G + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_lobster(n, p1, p2, seed=None, *, create_using=None): + """Returns a random lobster graph. + + A lobster is a tree that reduces to a caterpillar when pruning all + leaf nodes. A caterpillar is a tree that reduces to a path graph + when pruning all leaf nodes; setting `p2` to zero produces a caterpillar. + + This implementation iterates on the probabilities `p1` and `p2` to add + edges at levels 1 and 2, respectively. Graphs are therefore constructed + iteratively with uniform randomness at each level rather than being selected + uniformly at random from the set of all possible lobsters. + + Parameters + ---------- + n : int + The expected number of nodes in the backbone + p1 : float + Probability of adding an edge to the backbone + p2 : float + Probability of adding an edge one level beyond backbone + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Grap) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Raises + ------ + NetworkXError + If `p1` or `p2` parameters are >= 1 because the while loops would never finish. + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + p1, p2 = abs(p1), abs(p2) + if any(p >= 1 for p in [p1, p2]): + raise nx.NetworkXError("Probability values for `p1` and `p2` must both be < 1.") + + # a necessary ingredient in any self-respecting graph library + llen = int(2 * seed.random() * n + 0.5) + L = path_graph(llen, create_using) + # build caterpillar: add edges to path graph with probability p1 + current_node = llen - 1 + for n in range(llen): + while seed.random() < p1: # add fuzzy caterpillar parts + current_node += 1 + L.add_edge(n, current_node) + cat_node = current_node + while seed.random() < p2: # add crunchy lobster bits + current_node += 1 + L.add_edge(cat_node, current_node) + return L # voila, un lobster! + + +@py_random_state(1) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_shell_graph(constructor, seed=None, *, create_using=None): + """Returns a random shell graph for the constructor given. + + Parameters + ---------- + constructor : list of three-tuples + Represents the parameters for a shell, starting at the center + shell. Each element of the list must be of the form `(n, m, + d)`, where `n` is the number of nodes in the shell, `m` is + the number of edges in the shell, and `d` is the ratio of + inter-shell (next) edges to intra-shell edges. If `d` is zero, + there will be no intra-shell edges, and if `d` is one there + will be all possible intra-shell edges. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. Graph instances are not supported. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Examples + -------- + >>> constructor = [(10, 20, 0.8), (20, 40, 0.8)] + >>> G = nx.random_shell_graph(constructor) + + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + G = empty_graph(0, create_using) + + glist = [] + intra_edges = [] + nnodes = 0 + # create gnm graphs for each shell + for n, m, d in constructor: + inter_edges = int(m * d) + intra_edges.append(m - inter_edges) + g = nx.convert_node_labels_to_integers( + gnm_random_graph(n, inter_edges, seed=seed, create_using=G.__class__), + first_label=nnodes, + ) + glist.append(g) + nnodes += n + G = nx.operators.union(G, g) + + # connect the shells randomly + for gi in range(len(glist) - 1): + nlist1 = list(glist[gi]) + nlist2 = list(glist[gi + 1]) + total_edges = intra_edges[gi] + edge_count = 0 + while edge_count < total_edges: + u = seed.choice(nlist1) + v = seed.choice(nlist2) + if u == v or G.has_edge(u, v): + continue + else: + G.add_edge(u, v) + edge_count = edge_count + 1 + return G + + +@py_random_state(2) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_powerlaw_tree(n, gamma=3, seed=None, tries=100, *, create_using=None): + """Returns a tree with a power law degree distribution. + + Parameters + ---------- + n : int + The number of nodes. + gamma : float + Exponent of the power law. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + tries : int + Number of attempts to adjust the sequence to make it a tree. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Raises + ------ + NetworkXError + If no valid sequence is found within the maximum number of + attempts. + + Notes + ----- + A trial power law degree sequence is chosen and then elements are + swapped with new elements from a powerlaw distribution until the + sequence makes a tree (by checking, for example, that the number of + edges is one smaller than the number of nodes). + + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + # This call may raise a NetworkXError if the number of tries is succeeded. + seq = random_powerlaw_tree_sequence(n, gamma=gamma, seed=seed, tries=tries) + G = degree_sequence_tree(seq, create_using) + return G + + +@py_random_state(2) +@nx._dispatchable(graphs=None) +def random_powerlaw_tree_sequence(n, gamma=3, seed=None, tries=100): + """Returns a degree sequence for a tree with a power law distribution. + + Parameters + ---------- + n : int, + The number of nodes. + gamma : float + Exponent of the power law. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + tries : int + Number of attempts to adjust the sequence to make it a tree. + + Raises + ------ + NetworkXError + If no valid sequence is found within the maximum number of + attempts. + + Notes + ----- + A trial power law degree sequence is chosen and then elements are + swapped with new elements from a power law distribution until + the sequence makes a tree (by checking, for example, that the number of + edges is one smaller than the number of nodes). + + """ + # get trial sequence + z = nx.utils.powerlaw_sequence(n, exponent=gamma, seed=seed) + # round to integer values in the range [0,n] + zseq = [min(n, max(round(s), 0)) for s in z] + + # another sequence to swap values from + z = nx.utils.powerlaw_sequence(tries, exponent=gamma, seed=seed) + # round to integer values in the range [0,n] + swap = [min(n, max(round(s), 0)) for s in z] + + for deg in swap: + # If this degree sequence can be the degree sequence of a tree, return + # it. It can be a tree if the number of edges is one fewer than the + # number of nodes, or in other words, `n - sum(zseq) / 2 == 1`. We + # use an equivalent condition below that avoids floating point + # operations. + if 2 * n - sum(zseq) == 2: + return zseq + index = seed.randint(0, n - 1) + zseq[index] = swap.pop() + + raise nx.NetworkXError( + f"Exceeded max ({tries}) attempts for a valid tree sequence." + ) + + +@py_random_state(3) +@nx._dispatchable(graphs=None, returns_graph=True) +def random_kernel_graph( + n, kernel_integral, kernel_root=None, seed=None, *, create_using=None +): + r"""Returns an random graph based on the specified kernel. + + The algorithm chooses each of the $[n(n-1)]/2$ possible edges with + probability specified by a kernel $\kappa(x,y)$ [1]_. The kernel + $\kappa(x,y)$ must be a symmetric (in $x,y$), non-negative, + bounded function. + + Parameters + ---------- + n : int + The number of nodes + kernel_integral : function + Function that returns the definite integral of the kernel $\kappa(x,y)$, + $F(y,a,b) := \int_a^b \kappa(x,y)dx$ + kernel_root: function (optional) + Function that returns the root $b$ of the equation $F(y,a,b) = r$. + If None, the root is found using :func:`scipy.optimize.brentq` + (this requires SciPy). + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + create_using : Graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + Multigraph and directed types are not supported and raise a ``NetworkXError``. + + Notes + ----- + The kernel is specified through its definite integral which must be + provided as one of the arguments. If the integral and root of the + kernel integral can be found in $O(1)$ time then this algorithm runs in + time $O(n+m)$ where m is the expected number of edges [2]_. + + The nodes are set to integers from $0$ to $n-1$. + + Examples + -------- + Generate an Erdős–Rényi random graph $G(n,c/n)$, with kernel + $\kappa(x,y)=c$ where $c$ is the mean expected degree. + + >>> def integral(u, w, z): + ... return c * (z - w) + >>> def root(u, w, r): + ... return r / c + w + >>> c = 1 + >>> graph = nx.random_kernel_graph(1000, integral, root) + + See Also + -------- + gnp_random_graph + expected_degree_graph + + References + ---------- + .. [1] Bollobás, Béla, Janson, S. and Riordan, O. + "The phase transition in inhomogeneous random graphs", + *Random Structures Algorithms*, 31, 3--122, 2007. + + .. [2] Hagberg A, Lemons N (2015), + "Fast Generation of Sparse Random Kernel Graphs". + PLoS ONE 10(9): e0135177, 2015. doi:10.1371/journal.pone.0135177 + """ + create_using = check_create_using(create_using, directed=False, multigraph=False) + if kernel_root is None: + import scipy as sp + + def kernel_root(y, a, r): + def my_function(b): + return kernel_integral(y, a, b) - r + + return sp.optimize.brentq(my_function, a, 1) + + graph = nx.empty_graph(create_using=create_using) + graph.add_nodes_from(range(n)) + (i, j) = (1, 1) + while i < n: + r = -math.log(1 - seed.random()) # (1-seed.random()) in (0, 1] + if kernel_integral(i / n, j / n, 1) <= r: + i, j = i + 1, i + 1 + else: + j = math.ceil(n * kernel_root(i / n, j / n, r)) + graph.add_edge(i - 1, j - 1) + return graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/small.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/small.py new file mode 100644 index 0000000000000000000000000000000000000000..acd2fbc7a34e16023253e15ffb6a156416e4ce83 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/small.py @@ -0,0 +1,993 @@ +""" +Various small and named graphs, together with some compact generators. + +""" + +__all__ = [ + "LCF_graph", + "bull_graph", + "chvatal_graph", + "cubical_graph", + "desargues_graph", + "diamond_graph", + "dodecahedral_graph", + "frucht_graph", + "heawood_graph", + "hoffman_singleton_graph", + "house_graph", + "house_x_graph", + "icosahedral_graph", + "krackhardt_kite_graph", + "moebius_kantor_graph", + "octahedral_graph", + "pappus_graph", + "petersen_graph", + "sedgewick_maze_graph", + "tetrahedral_graph", + "truncated_cube_graph", + "truncated_tetrahedron_graph", + "tutte_graph", +] + +from functools import wraps + +import networkx as nx +from networkx.exception import NetworkXError +from networkx.generators.classic import ( + complete_graph, + cycle_graph, + empty_graph, + path_graph, +) + + +def _raise_on_directed(func): + """ + A decorator which inspects the `create_using` argument and raises a + NetworkX exception when `create_using` is a DiGraph (class or instance) for + graph generators that do not support directed outputs. + """ + + @wraps(func) + def wrapper(*args, **kwargs): + if kwargs.get("create_using") is not None: + G = nx.empty_graph(create_using=kwargs["create_using"]) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + return func(*args, **kwargs) + + return wrapper + + +@nx._dispatchable(graphs=None, returns_graph=True) +def LCF_graph(n, shift_list, repeats, create_using=None): + """ + Return the cubic graph specified in LCF notation. + + LCF (Lederberg-Coxeter-Fruchte) notation[1]_ is a compressed + notation used in the generation of various cubic Hamiltonian + graphs of high symmetry. See, for example, `dodecahedral_graph`, + `desargues_graph`, `heawood_graph` and `pappus_graph`. + + Nodes are drawn from ``range(n)``. Each node ``n_i`` is connected with + node ``n_i + shift % n`` where ``shift`` is given by cycling through + the input `shift_list` `repeat` s times. + + Parameters + ---------- + n : int + The starting graph is the `n`-cycle with nodes ``0, ..., n-1``. + The null graph is returned if `n` < 1. + + shift_list : list + A list of integer shifts mod `n`, ``[s1, s2, .., sk]`` + + repeats : int + Integer specifying the number of times that shifts in `shift_list` + are successively applied to each current node in the n-cycle + to generate an edge between ``n_current`` and ``n_current + shift mod n``. + + Returns + ------- + G : Graph + A graph instance created from the specified LCF notation. + + Examples + -------- + The utility graph $K_{3,3}$ + + >>> G = nx.LCF_graph(6, [3, -3], 3) + >>> G.edges() + EdgeView([(0, 1), (0, 5), (0, 3), (1, 2), (1, 4), (2, 3), (2, 5), (3, 4), (4, 5)]) + + The Heawood graph: + + >>> G = nx.LCF_graph(14, [5, -5], 7) + >>> nx.is_isomorphic(G, nx.heawood_graph()) + True + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/LCF_notation + + """ + if n <= 0: + return empty_graph(0, create_using) + + # start with the n-cycle + G = cycle_graph(n, create_using) + if G.is_directed(): + raise NetworkXError("Directed Graph not supported") + G.name = "LCF_graph" + nodes = sorted(G) + + n_extra_edges = repeats * len(shift_list) + # edges are added n_extra_edges times + # (not all of these need be new) + if n_extra_edges < 1: + return G + + for i in range(n_extra_edges): + shift = shift_list[i % len(shift_list)] # cycle through shift_list + v1 = nodes[i % n] # cycle repeatedly through nodes + v2 = nodes[(i + shift) % n] + G.add_edge(v1, v2) + return G + + +# ------------------------------------------------------------------------------- +# Various small and named graphs +# ------------------------------------------------------------------------------- + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def bull_graph(create_using=None): + """ + Returns the Bull Graph + + The Bull Graph has 5 nodes and 5 edges. It is a planar undirected + graph in the form of a triangle with two disjoint pendant edges [1]_ + The name comes from the triangle and pendant edges representing + respectively the body and legs of a bull. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + A bull graph with 5 nodes + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Bull_graph. + + """ + G = nx.from_dict_of_lists( + {0: [1, 2], 1: [0, 2, 3], 2: [0, 1, 4], 3: [1], 4: [2]}, + create_using=create_using, + ) + G.name = "Bull Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def chvatal_graph(create_using=None): + """ + Returns the Chvátal Graph + + The Chvátal Graph is an undirected graph with 12 nodes and 24 edges [1]_. + It has 370 distinct (directed) Hamiltonian cycles, giving a unique generalized + LCF notation of order 4, two of order 6 , and 43 of order 1 [2]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + The Chvátal graph with 12 nodes and 24 edges + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Chv%C3%A1tal_graph + .. [2] https://mathworld.wolfram.com/ChvatalGraph.html + + """ + G = nx.from_dict_of_lists( + { + 0: [1, 4, 6, 9], + 1: [2, 5, 7], + 2: [3, 6, 8], + 3: [4, 7, 9], + 4: [5, 8], + 5: [10, 11], + 6: [10, 11], + 7: [8, 11], + 8: [10], + 9: [10, 11], + }, + create_using=create_using, + ) + G.name = "Chvatal Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def cubical_graph(create_using=None): + """ + Returns the 3-regular Platonic Cubical Graph + + The skeleton of the cube (the nodes and edges) form a graph, with 8 + nodes, and 12 edges. It is a special case of the hypercube graph. + It is one of 5 Platonic graphs, each a skeleton of its + Platonic solid [1]_. + Such graphs arise in parallel processing in computers. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + A cubical graph with 8 nodes and 12 edges + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Cube#Cubical_graph + + """ + G = nx.from_dict_of_lists( + { + 0: [1, 3, 4], + 1: [0, 2, 7], + 2: [1, 3, 6], + 3: [0, 2, 5], + 4: [0, 5, 7], + 5: [3, 4, 6], + 6: [2, 5, 7], + 7: [1, 4, 6], + }, + create_using=create_using, + ) + G.name = "Platonic Cubical Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def desargues_graph(create_using=None): + """ + Returns the Desargues Graph + + The Desargues Graph is a non-planar, distance-transitive cubic graph + with 20 nodes and 30 edges [1]_. + It is a symmetric graph. It can be represented in LCF notation + as [5,-5,9,-9]^5 [2]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Desargues Graph with 20 nodes and 30 edges + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Desargues_graph + .. [2] https://mathworld.wolfram.com/DesarguesGraph.html + """ + G = LCF_graph(20, [5, -5, 9, -9], 5, create_using) + G.name = "Desargues Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def diamond_graph(create_using=None): + """ + Returns the Diamond graph + + The Diamond Graph is planar undirected graph with 4 nodes and 5 edges. + It is also sometimes known as the double triangle graph or kite graph [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Diamond Graph with 4 nodes and 5 edges + + References + ---------- + .. [1] https://mathworld.wolfram.com/DiamondGraph.html + """ + G = nx.from_dict_of_lists( + {0: [1, 2], 1: [0, 2, 3], 2: [0, 1, 3], 3: [1, 2]}, create_using=create_using + ) + G.name = "Diamond Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def dodecahedral_graph(create_using=None): + """ + Returns the Platonic Dodecahedral graph. + + The dodecahedral graph has 20 nodes and 30 edges. The skeleton of the + dodecahedron forms a graph. It is one of 5 Platonic graphs [1]_. + It can be described in LCF notation as: + ``[10, 7, 4, -4, -7, 10, -4, 7, -7, 4]^2`` [2]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Dodecahedral Graph with 20 nodes and 30 edges + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Regular_dodecahedron#Dodecahedral_graph + .. [2] https://mathworld.wolfram.com/DodecahedralGraph.html + + """ + G = LCF_graph(20, [10, 7, 4, -4, -7, 10, -4, 7, -7, 4], 2, create_using) + G.name = "Dodecahedral Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def frucht_graph(create_using=None): + """ + Returns the Frucht Graph. + + The Frucht Graph is the smallest cubical graph whose + automorphism group consists only of the identity element [1]_. + It has 12 nodes and 18 edges and no nontrivial symmetries. + It is planar and Hamiltonian [2]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Frucht Graph with 12 nodes and 18 edges + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Frucht_graph + .. [2] https://mathworld.wolfram.com/FruchtGraph.html + + """ + G = cycle_graph(7, create_using) + G.add_edges_from( + [ + [0, 7], + [1, 7], + [2, 8], + [3, 9], + [4, 9], + [5, 10], + [6, 10], + [7, 11], + [8, 11], + [8, 9], + [10, 11], + ] + ) + + G.name = "Frucht Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def heawood_graph(create_using=None): + """ + Returns the Heawood Graph, a (3,6) cage. + + The Heawood Graph is an undirected graph with 14 nodes and 21 edges, + named after Percy John Heawood [1]_. + It is cubic symmetric, nonplanar, Hamiltonian, and can be represented + in LCF notation as ``[5,-5]^7`` [2]_. + It is the unique (3,6)-cage: the regular cubic graph of girth 6 with + minimal number of vertices [3]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Heawood Graph with 14 nodes and 21 edges + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Heawood_graph + .. [2] https://mathworld.wolfram.com/HeawoodGraph.html + .. [3] https://www.win.tue.nl/~aeb/graphs/Heawood.html + + """ + G = LCF_graph(14, [5, -5], 7, create_using) + G.name = "Heawood Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def hoffman_singleton_graph(): + """ + Returns the Hoffman-Singleton Graph. + + The Hoffman–Singleton graph is a symmetrical undirected graph + with 50 nodes and 175 edges. + All indices lie in ``Z % 5``: that is, the integers mod 5 [1]_. + It is the only regular graph of vertex degree 7, diameter 2, and girth 5. + It is the unique (7,5)-cage graph and Moore graph, and contains many + copies of the Petersen graph [2]_. + + Returns + ------- + G : networkx Graph + Hoffman–Singleton Graph with 50 nodes and 175 edges + + Notes + ----- + Constructed from pentagon and pentagram as follows: Take five pentagons $P_h$ + and five pentagrams $Q_i$ . Join vertex $j$ of $P_h$ to vertex $h·i+j$ of $Q_i$ [3]_. + + References + ---------- + .. [1] https://blogs.ams.org/visualinsight/2016/02/01/hoffman-singleton-graph/ + .. [2] https://mathworld.wolfram.com/Hoffman-SingletonGraph.html + .. [3] https://en.wikipedia.org/wiki/Hoffman%E2%80%93Singleton_graph + + """ + G = nx.Graph() + for i in range(5): + for j in range(5): + G.add_edge(("pentagon", i, j), ("pentagon", i, (j - 1) % 5)) + G.add_edge(("pentagon", i, j), ("pentagon", i, (j + 1) % 5)) + G.add_edge(("pentagram", i, j), ("pentagram", i, (j - 2) % 5)) + G.add_edge(("pentagram", i, j), ("pentagram", i, (j + 2) % 5)) + for k in range(5): + G.add_edge(("pentagon", i, j), ("pentagram", k, (i * k + j) % 5)) + G = nx.convert_node_labels_to_integers(G) + G.name = "Hoffman-Singleton Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def house_graph(create_using=None): + """ + Returns the House graph (square with triangle on top) + + The house graph is a simple undirected graph with + 5 nodes and 6 edges [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + House graph in the form of a square with a triangle on top + + References + ---------- + .. [1] https://mathworld.wolfram.com/HouseGraph.html + """ + G = nx.from_dict_of_lists( + {0: [1, 2], 1: [0, 3], 2: [0, 3, 4], 3: [1, 2, 4], 4: [2, 3]}, + create_using=create_using, + ) + G.name = "House Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def house_x_graph(create_using=None): + """ + Returns the House graph with a cross inside the house square. + + The House X-graph is the House graph plus the two edges connecting diagonally + opposite vertices of the square base. It is also one of the two graphs + obtained by removing two edges from the pentatope graph [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + House graph with diagonal vertices connected + + References + ---------- + .. [1] https://mathworld.wolfram.com/HouseGraph.html + """ + G = house_graph(create_using) + G.add_edges_from([(0, 3), (1, 2)]) + G.name = "House-with-X-inside Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def icosahedral_graph(create_using=None): + """ + Returns the Platonic Icosahedral graph. + + The icosahedral graph has 12 nodes and 30 edges. It is a Platonic graph + whose nodes have the connectivity of the icosahedron. It is undirected, + regular and Hamiltonian [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Icosahedral graph with 12 nodes and 30 edges. + + References + ---------- + .. [1] https://mathworld.wolfram.com/IcosahedralGraph.html + """ + G = nx.from_dict_of_lists( + { + 0: [1, 5, 7, 8, 11], + 1: [2, 5, 6, 8], + 2: [3, 6, 8, 9], + 3: [4, 6, 9, 10], + 4: [5, 6, 10, 11], + 5: [6, 11], + 7: [8, 9, 10, 11], + 8: [9], + 9: [10], + 10: [11], + }, + create_using=create_using, + ) + G.name = "Platonic Icosahedral Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def krackhardt_kite_graph(create_using=None): + """ + Returns the Krackhardt Kite Social Network. + + A 10 actor social network introduced by David Krackhardt + to illustrate different centrality measures [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Krackhardt Kite graph with 10 nodes and 18 edges + + Notes + ----- + The traditional labeling is: + Andre=1, Beverley=2, Carol=3, Diane=4, + Ed=5, Fernando=6, Garth=7, Heather=8, Ike=9, Jane=10. + + References + ---------- + .. [1] Krackhardt, David. "Assessing the Political Landscape: Structure, + Cognition, and Power in Organizations". Administrative Science Quarterly. + 35 (2): 342–369. doi:10.2307/2393394. JSTOR 2393394. June 1990. + + """ + G = nx.from_dict_of_lists( + { + 0: [1, 2, 3, 5], + 1: [0, 3, 4, 6], + 2: [0, 3, 5], + 3: [0, 1, 2, 4, 5, 6], + 4: [1, 3, 6], + 5: [0, 2, 3, 6, 7], + 6: [1, 3, 4, 5, 7], + 7: [5, 6, 8], + 8: [7, 9], + 9: [8], + }, + create_using=create_using, + ) + G.name = "Krackhardt Kite Social Network" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def moebius_kantor_graph(create_using=None): + """ + Returns the Moebius-Kantor graph. + + The Möbius-Kantor graph is the cubic symmetric graph on 16 nodes. + Its LCF notation is [5,-5]^8, and it is isomorphic to the generalized + Petersen graph [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Moebius-Kantor graph + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/M%C3%B6bius%E2%80%93Kantor_graph + + """ + G = LCF_graph(16, [5, -5], 8, create_using) + G.name = "Moebius-Kantor Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def octahedral_graph(create_using=None): + """ + Returns the Platonic Octahedral graph. + + The octahedral graph is the 6-node 12-edge Platonic graph having the + connectivity of the octahedron [1]_. If 6 couples go to a party, + and each person shakes hands with every person except his or her partner, + then this graph describes the set of handshakes that take place; + for this reason it is also called the cocktail party graph [2]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Octahedral graph + + References + ---------- + .. [1] https://mathworld.wolfram.com/OctahedralGraph.html + .. [2] https://en.wikipedia.org/wiki/Tur%C3%A1n_graph#Special_cases + + """ + G = nx.from_dict_of_lists( + {0: [1, 2, 3, 4], 1: [2, 3, 5], 2: [4, 5], 3: [4, 5], 4: [5]}, + create_using=create_using, + ) + G.name = "Platonic Octahedral Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def pappus_graph(): + """ + Returns the Pappus graph. + + The Pappus graph is a cubic symmetric distance-regular graph with 18 nodes + and 27 edges. It is Hamiltonian and can be represented in LCF notation as + [5,7,-7,7,-7,-5]^3 [1]_. + + Returns + ------- + G : networkx Graph + Pappus graph + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Pappus_graph + """ + G = LCF_graph(18, [5, 7, -7, 7, -7, -5], 3) + G.name = "Pappus Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def petersen_graph(create_using=None): + """ + Returns the Petersen graph. + + The Peterson graph is a cubic, undirected graph with 10 nodes and 15 edges [1]_. + Julius Petersen constructed the graph as the smallest counterexample + against the claim that a connected bridgeless cubic graph + has an edge colouring with three colours [2]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Petersen graph + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Petersen_graph + .. [2] https://www.win.tue.nl/~aeb/drg/graphs/Petersen.html + """ + G = nx.from_dict_of_lists( + { + 0: [1, 4, 5], + 1: [0, 2, 6], + 2: [1, 3, 7], + 3: [2, 4, 8], + 4: [3, 0, 9], + 5: [0, 7, 8], + 6: [1, 8, 9], + 7: [2, 5, 9], + 8: [3, 5, 6], + 9: [4, 6, 7], + }, + create_using=create_using, + ) + G.name = "Petersen Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def sedgewick_maze_graph(create_using=None): + """ + Return a small maze with a cycle. + + This is the maze used in Sedgewick, 3rd Edition, Part 5, Graph + Algorithms, Chapter 18, e.g. Figure 18.2 and following [1]_. + Nodes are numbered 0,..,7 + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Small maze with a cycle + + References + ---------- + .. [1] Figure 18.2, Chapter 18, Graph Algorithms (3rd Ed), Sedgewick + """ + G = empty_graph(0, create_using) + G.add_nodes_from(range(8)) + G.add_edges_from([[0, 2], [0, 7], [0, 5]]) + G.add_edges_from([[1, 7], [2, 6]]) + G.add_edges_from([[3, 4], [3, 5]]) + G.add_edges_from([[4, 5], [4, 7], [4, 6]]) + G.name = "Sedgewick Maze" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def tetrahedral_graph(create_using=None): + """ + Returns the 3-regular Platonic Tetrahedral graph. + + Tetrahedral graph has 4 nodes and 6 edges. It is a + special case of the complete graph, K4, and wheel graph, W4. + It is one of the 5 platonic graphs [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Tetrahedral Graph + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Tetrahedron#Tetrahedral_graph + + """ + G = complete_graph(4, create_using) + G.name = "Platonic Tetrahedral Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def truncated_cube_graph(create_using=None): + """ + Returns the skeleton of the truncated cube. + + The truncated cube is an Archimedean solid with 14 regular + faces (6 octagonal and 8 triangular), 36 edges and 24 nodes [1]_. + The truncated cube is created by truncating (cutting off) the tips + of the cube one third of the way into each edge [2]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Skeleton of the truncated cube + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Truncated_cube + .. [2] https://www.coolmath.com/reference/polyhedra-truncated-cube + + """ + G = nx.from_dict_of_lists( + { + 0: [1, 2, 4], + 1: [11, 14], + 2: [3, 4], + 3: [6, 8], + 4: [5], + 5: [16, 18], + 6: [7, 8], + 7: [10, 12], + 8: [9], + 9: [17, 20], + 10: [11, 12], + 11: [14], + 12: [13], + 13: [21, 22], + 14: [15], + 15: [19, 23], + 16: [17, 18], + 17: [20], + 18: [19], + 19: [23], + 20: [21], + 21: [22], + 22: [23], + }, + create_using=create_using, + ) + G.name = "Truncated Cube Graph" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def truncated_tetrahedron_graph(create_using=None): + """ + Returns the skeleton of the truncated Platonic tetrahedron. + + The truncated tetrahedron is an Archimedean solid with 4 regular hexagonal faces, + 4 equilateral triangle faces, 12 nodes and 18 edges. It can be constructed by truncating + all 4 vertices of a regular tetrahedron at one third of the original edge length [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Skeleton of the truncated tetrahedron + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Truncated_tetrahedron + + """ + G = path_graph(12, create_using) + G.add_edges_from([(0, 2), (0, 9), (1, 6), (3, 11), (4, 11), (5, 7), (8, 10)]) + G.name = "Truncated Tetrahedron Graph" + return G + + +@_raise_on_directed +@nx._dispatchable(graphs=None, returns_graph=True) +def tutte_graph(create_using=None): + """ + Returns the Tutte graph. + + The Tutte graph is a cubic polyhedral, non-Hamiltonian graph. It has + 46 nodes and 69 edges. + It is a counterexample to Tait's conjecture that every 3-regular polyhedron + has a Hamiltonian cycle. + It can be realized geometrically from a tetrahedron by multiply truncating + three of its vertices [1]_. + + Parameters + ---------- + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + Returns + ------- + G : networkx Graph + Tutte graph + + References + ---------- + .. [1] https://en.wikipedia.org/wiki/Tutte_graph + """ + G = nx.from_dict_of_lists( + { + 0: [1, 2, 3], + 1: [4, 26], + 2: [10, 11], + 3: [18, 19], + 4: [5, 33], + 5: [6, 29], + 6: [7, 27], + 7: [8, 14], + 8: [9, 38], + 9: [10, 37], + 10: [39], + 11: [12, 39], + 12: [13, 35], + 13: [14, 15], + 14: [34], + 15: [16, 22], + 16: [17, 44], + 17: [18, 43], + 18: [45], + 19: [20, 45], + 20: [21, 41], + 21: [22, 23], + 22: [40], + 23: [24, 27], + 24: [25, 32], + 25: [26, 31], + 26: [33], + 27: [28], + 28: [29, 32], + 29: [30], + 30: [31, 33], + 31: [32], + 34: [35, 38], + 35: [36], + 36: [37, 39], + 37: [38], + 40: [41, 44], + 41: [42], + 42: [43, 45], + 43: [44], + }, + create_using=create_using, + ) + G.name = "Tutte's Graph" + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/social.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/social.py new file mode 100644 index 0000000000000000000000000000000000000000..f41b2d88b4bc09f4e45967731f1dc8acfb48420b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/social.py @@ -0,0 +1,554 @@ +""" +Famous social networks. +""" + +import networkx as nx + +__all__ = [ + "karate_club_graph", + "davis_southern_women_graph", + "florentine_families_graph", + "les_miserables_graph", +] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def karate_club_graph(): + """Returns Zachary's Karate Club graph. + + Each node in the returned graph has a node attribute 'club' that + indicates the name of the club to which the member represented by that node + belongs, either 'Mr. Hi' or 'Officer'. Each edge has a weight based on the + number of contexts in which that edge's incident node members interacted. + + The dataset is derived from the 'Club After Split From Data' column of Table 3 in [1]_. + This was in turn derived from the 'Club After Fission' column of Table 1 in the + same paper. Note that the nodes are 0-indexed in NetworkX, but 1-indexed in the + paper (the 'Individual Number in Matrix C' column of Table 3 starts at 1). This + means, for example, that ``G.nodes[9]["club"]`` returns 'Officer', which + corresponds to row 10 of Table 3 in the paper. + + Examples + -------- + To get the name of the club to which a node belongs:: + + >>> G = nx.karate_club_graph() + >>> G.nodes[5]["club"] + 'Mr. Hi' + >>> G.nodes[9]["club"] + 'Officer' + + References + ---------- + .. [1] Zachary, Wayne W. + "An Information Flow Model for Conflict and Fission in Small Groups." + *Journal of Anthropological Research*, 33, 452--473, (1977). + """ + # Create the set of all members, and the members of each club. + all_members = set(range(34)) + club1 = {0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 16, 17, 19, 21} + # club2 = all_members - club1 + + G = nx.Graph() + G.add_nodes_from(all_members) + G.name = "Zachary's Karate Club" + + zacharydat = """\ +0 4 5 3 3 3 3 2 2 0 2 3 2 3 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 +4 0 6 3 0 0 0 4 0 0 0 0 0 5 0 0 0 1 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 +5 6 0 3 0 0 0 4 5 1 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 3 0 +3 3 3 0 0 0 0 3 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +3 0 0 0 0 0 2 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +3 0 0 0 0 0 5 0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +3 0 0 0 2 5 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +2 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +2 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 4 3 +0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 +2 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +1 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +3 5 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 +0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 +2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 +2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 4 0 2 0 0 5 4 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 3 0 0 0 2 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 2 0 0 0 0 0 0 7 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 2 +0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 0 0 0 0 0 0 0 0 4 +0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 4 0 0 0 0 0 3 2 +0 2 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 +2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 0 0 2 0 0 0 4 4 +0 0 2 0 0 0 0 0 3 0 0 0 0 0 3 3 0 0 1 0 3 0 2 5 0 0 0 0 0 4 3 4 0 5 +0 0 0 0 0 0 0 0 4 2 0 0 0 3 2 4 0 0 2 1 1 0 3 4 0 0 2 4 2 2 3 4 5 0""" + + for row, line in enumerate(zacharydat.split("\n")): + thisrow = [int(b) for b in line.split()] + for col, entry in enumerate(thisrow): + if entry >= 1: + G.add_edge(row, col, weight=entry) + + # Add the name of each member's club as a node attribute. + for v in G: + G.nodes[v]["club"] = "Mr. Hi" if v in club1 else "Officer" + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def davis_southern_women_graph(): + """Returns Davis Southern women social network. + + This is a bipartite graph. + + References + ---------- + .. [1] A. Davis, Gardner, B. B., Gardner, M. R., 1941. Deep South. + University of Chicago Press, Chicago, IL. + """ + G = nx.Graph() + # Top nodes + women = [ + "Evelyn Jefferson", + "Laura Mandeville", + "Theresa Anderson", + "Brenda Rogers", + "Charlotte McDowd", + "Frances Anderson", + "Eleanor Nye", + "Pearl Oglethorpe", + "Ruth DeSand", + "Verne Sanderson", + "Myra Liddel", + "Katherina Rogers", + "Sylvia Avondale", + "Nora Fayette", + "Helen Lloyd", + "Dorothy Murchison", + "Olivia Carleton", + "Flora Price", + ] + G.add_nodes_from(women, bipartite=0) + # Bottom nodes + events = [ + "E1", + "E2", + "E3", + "E4", + "E5", + "E6", + "E7", + "E8", + "E9", + "E10", + "E11", + "E12", + "E13", + "E14", + ] + G.add_nodes_from(events, bipartite=1) + + G.add_edges_from( + [ + ("Evelyn Jefferson", "E1"), + ("Evelyn Jefferson", "E2"), + ("Evelyn Jefferson", "E3"), + ("Evelyn Jefferson", "E4"), + ("Evelyn Jefferson", "E5"), + ("Evelyn Jefferson", "E6"), + ("Evelyn Jefferson", "E8"), + ("Evelyn Jefferson", "E9"), + ("Laura Mandeville", "E1"), + ("Laura Mandeville", "E2"), + ("Laura Mandeville", "E3"), + ("Laura Mandeville", "E5"), + ("Laura Mandeville", "E6"), + ("Laura Mandeville", "E7"), + ("Laura Mandeville", "E8"), + ("Theresa Anderson", "E2"), + ("Theresa Anderson", "E3"), + ("Theresa Anderson", "E4"), + ("Theresa Anderson", "E5"), + ("Theresa Anderson", "E6"), + ("Theresa Anderson", "E7"), + ("Theresa Anderson", "E8"), + ("Theresa Anderson", "E9"), + ("Brenda Rogers", "E1"), + ("Brenda Rogers", "E3"), + ("Brenda Rogers", "E4"), + ("Brenda Rogers", "E5"), + ("Brenda Rogers", "E6"), + ("Brenda Rogers", "E7"), + ("Brenda Rogers", "E8"), + ("Charlotte McDowd", "E3"), + ("Charlotte McDowd", "E4"), + ("Charlotte McDowd", "E5"), + ("Charlotte McDowd", "E7"), + ("Frances Anderson", "E3"), + ("Frances Anderson", "E5"), + ("Frances Anderson", "E6"), + ("Frances Anderson", "E8"), + ("Eleanor Nye", "E5"), + ("Eleanor Nye", "E6"), + ("Eleanor Nye", "E7"), + ("Eleanor Nye", "E8"), + ("Pearl Oglethorpe", "E6"), + ("Pearl Oglethorpe", "E8"), + ("Pearl Oglethorpe", "E9"), + ("Ruth DeSand", "E5"), + ("Ruth DeSand", "E7"), + ("Ruth DeSand", "E8"), + ("Ruth DeSand", "E9"), + ("Verne Sanderson", "E7"), + ("Verne Sanderson", "E8"), + ("Verne Sanderson", "E9"), + ("Verne Sanderson", "E12"), + ("Myra Liddel", "E8"), + ("Myra Liddel", "E9"), + ("Myra Liddel", "E10"), + ("Myra Liddel", "E12"), + ("Katherina Rogers", "E8"), + ("Katherina Rogers", "E9"), + ("Katherina Rogers", "E10"), + ("Katherina Rogers", "E12"), + ("Katherina Rogers", "E13"), + ("Katherina Rogers", "E14"), + ("Sylvia Avondale", "E7"), + ("Sylvia Avondale", "E8"), + ("Sylvia Avondale", "E9"), + ("Sylvia Avondale", "E10"), + ("Sylvia Avondale", "E12"), + ("Sylvia Avondale", "E13"), + ("Sylvia Avondale", "E14"), + ("Nora Fayette", "E6"), + ("Nora Fayette", "E7"), + ("Nora Fayette", "E9"), + ("Nora Fayette", "E10"), + ("Nora Fayette", "E11"), + ("Nora Fayette", "E12"), + ("Nora Fayette", "E13"), + ("Nora Fayette", "E14"), + ("Helen Lloyd", "E7"), + ("Helen Lloyd", "E8"), + ("Helen Lloyd", "E10"), + ("Helen Lloyd", "E11"), + ("Helen Lloyd", "E12"), + ("Dorothy Murchison", "E8"), + ("Dorothy Murchison", "E9"), + ("Olivia Carleton", "E9"), + ("Olivia Carleton", "E11"), + ("Flora Price", "E9"), + ("Flora Price", "E11"), + ] + ) + G.graph["top"] = women + G.graph["bottom"] = events + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def florentine_families_graph(): + """Returns Florentine families graph. + + References + ---------- + .. [1] Ronald L. Breiger and Philippa E. Pattison + Cumulated social roles: The duality of persons and their algebras,1 + Social Networks, Volume 8, Issue 3, September 1986, Pages 215-256 + """ + G = nx.Graph() + G.add_edge("Acciaiuoli", "Medici") + G.add_edge("Castellani", "Peruzzi") + G.add_edge("Castellani", "Strozzi") + G.add_edge("Castellani", "Barbadori") + G.add_edge("Medici", "Barbadori") + G.add_edge("Medici", "Ridolfi") + G.add_edge("Medici", "Tornabuoni") + G.add_edge("Medici", "Albizzi") + G.add_edge("Medici", "Salviati") + G.add_edge("Salviati", "Pazzi") + G.add_edge("Peruzzi", "Strozzi") + G.add_edge("Peruzzi", "Bischeri") + G.add_edge("Strozzi", "Ridolfi") + G.add_edge("Strozzi", "Bischeri") + G.add_edge("Ridolfi", "Tornabuoni") + G.add_edge("Tornabuoni", "Guadagni") + G.add_edge("Albizzi", "Ginori") + G.add_edge("Albizzi", "Guadagni") + G.add_edge("Bischeri", "Guadagni") + G.add_edge("Guadagni", "Lamberteschi") + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def les_miserables_graph(): + """Returns coappearance network of characters in the novel Les Miserables. + + References + ---------- + .. [1] D. E. Knuth, 1993. + The Stanford GraphBase: a platform for combinatorial computing, + pp. 74-87. New York: AcM Press. + """ + G = nx.Graph() + G.add_edge("Napoleon", "Myriel", weight=1) + G.add_edge("MlleBaptistine", "Myriel", weight=8) + G.add_edge("MmeMagloire", "Myriel", weight=10) + G.add_edge("MmeMagloire", "MlleBaptistine", weight=6) + G.add_edge("CountessDeLo", "Myriel", weight=1) + G.add_edge("Geborand", "Myriel", weight=1) + G.add_edge("Champtercier", "Myriel", weight=1) + G.add_edge("Cravatte", "Myriel", weight=1) + G.add_edge("Count", "Myriel", weight=2) + G.add_edge("OldMan", "Myriel", weight=1) + G.add_edge("Valjean", "Labarre", weight=1) + G.add_edge("Valjean", "MmeMagloire", weight=3) + G.add_edge("Valjean", "MlleBaptistine", weight=3) + G.add_edge("Valjean", "Myriel", weight=5) + G.add_edge("Marguerite", "Valjean", weight=1) + G.add_edge("MmeDeR", "Valjean", weight=1) + G.add_edge("Isabeau", "Valjean", weight=1) + G.add_edge("Gervais", "Valjean", weight=1) + G.add_edge("Listolier", "Tholomyes", weight=4) + G.add_edge("Fameuil", "Tholomyes", weight=4) + G.add_edge("Fameuil", "Listolier", weight=4) + G.add_edge("Blacheville", "Tholomyes", weight=4) + G.add_edge("Blacheville", "Listolier", weight=4) + G.add_edge("Blacheville", "Fameuil", weight=4) + G.add_edge("Favourite", "Tholomyes", weight=3) + G.add_edge("Favourite", "Listolier", weight=3) + G.add_edge("Favourite", "Fameuil", weight=3) + G.add_edge("Favourite", "Blacheville", weight=4) + G.add_edge("Dahlia", "Tholomyes", weight=3) + G.add_edge("Dahlia", "Listolier", weight=3) + G.add_edge("Dahlia", "Fameuil", weight=3) + G.add_edge("Dahlia", "Blacheville", weight=3) + G.add_edge("Dahlia", "Favourite", weight=5) + G.add_edge("Zephine", "Tholomyes", weight=3) + G.add_edge("Zephine", "Listolier", weight=3) + G.add_edge("Zephine", "Fameuil", weight=3) + G.add_edge("Zephine", "Blacheville", weight=3) + G.add_edge("Zephine", "Favourite", weight=4) + G.add_edge("Zephine", "Dahlia", weight=4) + G.add_edge("Fantine", "Tholomyes", weight=3) + G.add_edge("Fantine", "Listolier", weight=3) + G.add_edge("Fantine", "Fameuil", weight=3) + G.add_edge("Fantine", "Blacheville", weight=3) + G.add_edge("Fantine", "Favourite", weight=4) + G.add_edge("Fantine", "Dahlia", weight=4) + G.add_edge("Fantine", "Zephine", weight=4) + G.add_edge("Fantine", "Marguerite", weight=2) + G.add_edge("Fantine", "Valjean", weight=9) + G.add_edge("MmeThenardier", "Fantine", weight=2) + G.add_edge("MmeThenardier", "Valjean", weight=7) + G.add_edge("Thenardier", "MmeThenardier", weight=13) + G.add_edge("Thenardier", "Fantine", weight=1) + G.add_edge("Thenardier", "Valjean", weight=12) + G.add_edge("Cosette", "MmeThenardier", weight=4) + G.add_edge("Cosette", "Valjean", weight=31) + G.add_edge("Cosette", "Tholomyes", weight=1) + G.add_edge("Cosette", "Thenardier", weight=1) + G.add_edge("Javert", "Valjean", weight=17) + G.add_edge("Javert", "Fantine", weight=5) + G.add_edge("Javert", "Thenardier", weight=5) + G.add_edge("Javert", "MmeThenardier", weight=1) + G.add_edge("Javert", "Cosette", weight=1) + G.add_edge("Fauchelevent", "Valjean", weight=8) + G.add_edge("Fauchelevent", "Javert", weight=1) + G.add_edge("Bamatabois", "Fantine", weight=1) + G.add_edge("Bamatabois", "Javert", weight=1) + G.add_edge("Bamatabois", "Valjean", weight=2) + G.add_edge("Perpetue", "Fantine", weight=1) + G.add_edge("Simplice", "Perpetue", weight=2) + G.add_edge("Simplice", "Valjean", weight=3) + G.add_edge("Simplice", "Fantine", weight=2) + G.add_edge("Simplice", "Javert", weight=1) + G.add_edge("Scaufflaire", "Valjean", weight=1) + G.add_edge("Woman1", "Valjean", weight=2) + G.add_edge("Woman1", "Javert", weight=1) + G.add_edge("Judge", "Valjean", weight=3) + G.add_edge("Judge", "Bamatabois", weight=2) + G.add_edge("Champmathieu", "Valjean", weight=3) + G.add_edge("Champmathieu", "Judge", weight=3) + G.add_edge("Champmathieu", "Bamatabois", weight=2) + G.add_edge("Brevet", "Judge", weight=2) + G.add_edge("Brevet", "Champmathieu", weight=2) + G.add_edge("Brevet", "Valjean", weight=2) + G.add_edge("Brevet", "Bamatabois", weight=1) + G.add_edge("Chenildieu", "Judge", weight=2) + G.add_edge("Chenildieu", "Champmathieu", weight=2) + G.add_edge("Chenildieu", "Brevet", weight=2) + G.add_edge("Chenildieu", "Valjean", weight=2) + G.add_edge("Chenildieu", "Bamatabois", weight=1) + G.add_edge("Cochepaille", "Judge", weight=2) + G.add_edge("Cochepaille", "Champmathieu", weight=2) + G.add_edge("Cochepaille", "Brevet", weight=2) + G.add_edge("Cochepaille", "Chenildieu", weight=2) + G.add_edge("Cochepaille", "Valjean", weight=2) + G.add_edge("Cochepaille", "Bamatabois", weight=1) + G.add_edge("Pontmercy", "Thenardier", weight=1) + G.add_edge("Boulatruelle", "Thenardier", weight=1) + G.add_edge("Eponine", "MmeThenardier", weight=2) + G.add_edge("Eponine", "Thenardier", weight=3) + G.add_edge("Anzelma", "Eponine", weight=2) + G.add_edge("Anzelma", "Thenardier", weight=2) + G.add_edge("Anzelma", "MmeThenardier", weight=1) + G.add_edge("Woman2", "Valjean", weight=3) + G.add_edge("Woman2", "Cosette", weight=1) + G.add_edge("Woman2", "Javert", weight=1) + G.add_edge("MotherInnocent", "Fauchelevent", weight=3) + G.add_edge("MotherInnocent", "Valjean", weight=1) + G.add_edge("Gribier", "Fauchelevent", weight=2) + G.add_edge("MmeBurgon", "Jondrette", weight=1) + G.add_edge("Gavroche", "MmeBurgon", weight=2) + G.add_edge("Gavroche", "Thenardier", weight=1) + G.add_edge("Gavroche", "Javert", weight=1) + G.add_edge("Gavroche", "Valjean", weight=1) + G.add_edge("Gillenormand", "Cosette", weight=3) + G.add_edge("Gillenormand", "Valjean", weight=2) + G.add_edge("Magnon", "Gillenormand", weight=1) + G.add_edge("Magnon", "MmeThenardier", weight=1) + G.add_edge("MlleGillenormand", "Gillenormand", weight=9) + G.add_edge("MlleGillenormand", "Cosette", weight=2) + G.add_edge("MlleGillenormand", "Valjean", weight=2) + G.add_edge("MmePontmercy", "MlleGillenormand", weight=1) + G.add_edge("MmePontmercy", "Pontmercy", weight=1) + G.add_edge("MlleVaubois", "MlleGillenormand", weight=1) + G.add_edge("LtGillenormand", "MlleGillenormand", weight=2) + G.add_edge("LtGillenormand", "Gillenormand", weight=1) + G.add_edge("LtGillenormand", "Cosette", weight=1) + G.add_edge("Marius", "MlleGillenormand", weight=6) + G.add_edge("Marius", "Gillenormand", weight=12) + G.add_edge("Marius", "Pontmercy", weight=1) + G.add_edge("Marius", "LtGillenormand", weight=1) + G.add_edge("Marius", "Cosette", weight=21) + G.add_edge("Marius", "Valjean", weight=19) + G.add_edge("Marius", "Tholomyes", weight=1) + G.add_edge("Marius", "Thenardier", weight=2) + G.add_edge("Marius", "Eponine", weight=5) + G.add_edge("Marius", "Gavroche", weight=4) + G.add_edge("BaronessT", "Gillenormand", weight=1) + G.add_edge("BaronessT", "Marius", weight=1) + G.add_edge("Mabeuf", "Marius", weight=1) + G.add_edge("Mabeuf", "Eponine", weight=1) + G.add_edge("Mabeuf", "Gavroche", weight=1) + G.add_edge("Enjolras", "Marius", weight=7) + G.add_edge("Enjolras", "Gavroche", weight=7) + G.add_edge("Enjolras", "Javert", weight=6) + G.add_edge("Enjolras", "Mabeuf", weight=1) + G.add_edge("Enjolras", "Valjean", weight=4) + G.add_edge("Combeferre", "Enjolras", weight=15) + G.add_edge("Combeferre", "Marius", weight=5) + G.add_edge("Combeferre", "Gavroche", weight=6) + G.add_edge("Combeferre", "Mabeuf", weight=2) + G.add_edge("Prouvaire", "Gavroche", weight=1) + G.add_edge("Prouvaire", "Enjolras", weight=4) + G.add_edge("Prouvaire", "Combeferre", weight=2) + G.add_edge("Feuilly", "Gavroche", weight=2) + G.add_edge("Feuilly", "Enjolras", weight=6) + G.add_edge("Feuilly", "Prouvaire", weight=2) + G.add_edge("Feuilly", "Combeferre", weight=5) + G.add_edge("Feuilly", "Mabeuf", weight=1) + G.add_edge("Feuilly", "Marius", weight=1) + G.add_edge("Courfeyrac", "Marius", weight=9) + G.add_edge("Courfeyrac", "Enjolras", weight=17) + G.add_edge("Courfeyrac", "Combeferre", weight=13) + G.add_edge("Courfeyrac", "Gavroche", weight=7) + G.add_edge("Courfeyrac", "Mabeuf", weight=2) + G.add_edge("Courfeyrac", "Eponine", weight=1) + G.add_edge("Courfeyrac", "Feuilly", weight=6) + G.add_edge("Courfeyrac", "Prouvaire", weight=3) + G.add_edge("Bahorel", "Combeferre", weight=5) + G.add_edge("Bahorel", "Gavroche", weight=5) + G.add_edge("Bahorel", "Courfeyrac", weight=6) + G.add_edge("Bahorel", "Mabeuf", weight=2) + G.add_edge("Bahorel", "Enjolras", weight=4) + G.add_edge("Bahorel", "Feuilly", weight=3) + G.add_edge("Bahorel", "Prouvaire", weight=2) + G.add_edge("Bahorel", "Marius", weight=1) + G.add_edge("Bossuet", "Marius", weight=5) + G.add_edge("Bossuet", "Courfeyrac", weight=12) + G.add_edge("Bossuet", "Gavroche", weight=5) + G.add_edge("Bossuet", "Bahorel", weight=4) + G.add_edge("Bossuet", "Enjolras", weight=10) + G.add_edge("Bossuet", "Feuilly", weight=6) + G.add_edge("Bossuet", "Prouvaire", weight=2) + G.add_edge("Bossuet", "Combeferre", weight=9) + G.add_edge("Bossuet", "Mabeuf", weight=1) + G.add_edge("Bossuet", "Valjean", weight=1) + G.add_edge("Joly", "Bahorel", weight=5) + G.add_edge("Joly", "Bossuet", weight=7) + G.add_edge("Joly", "Gavroche", weight=3) + G.add_edge("Joly", "Courfeyrac", weight=5) + G.add_edge("Joly", "Enjolras", weight=5) + G.add_edge("Joly", "Feuilly", weight=5) + G.add_edge("Joly", "Prouvaire", weight=2) + G.add_edge("Joly", "Combeferre", weight=5) + G.add_edge("Joly", "Mabeuf", weight=1) + G.add_edge("Joly", "Marius", weight=2) + G.add_edge("Grantaire", "Bossuet", weight=3) + G.add_edge("Grantaire", "Enjolras", weight=3) + G.add_edge("Grantaire", "Combeferre", weight=1) + G.add_edge("Grantaire", "Courfeyrac", weight=2) + G.add_edge("Grantaire", "Joly", weight=2) + G.add_edge("Grantaire", "Gavroche", weight=1) + G.add_edge("Grantaire", "Bahorel", weight=1) + G.add_edge("Grantaire", "Feuilly", weight=1) + G.add_edge("Grantaire", "Prouvaire", weight=1) + G.add_edge("MotherPlutarch", "Mabeuf", weight=3) + G.add_edge("Gueulemer", "Thenardier", weight=5) + G.add_edge("Gueulemer", "Valjean", weight=1) + G.add_edge("Gueulemer", "MmeThenardier", weight=1) + G.add_edge("Gueulemer", "Javert", weight=1) + G.add_edge("Gueulemer", "Gavroche", weight=1) + G.add_edge("Gueulemer", "Eponine", weight=1) + G.add_edge("Babet", "Thenardier", weight=6) + G.add_edge("Babet", "Gueulemer", weight=6) + G.add_edge("Babet", "Valjean", weight=1) + G.add_edge("Babet", "MmeThenardier", weight=1) + G.add_edge("Babet", "Javert", weight=2) + G.add_edge("Babet", "Gavroche", weight=1) + G.add_edge("Babet", "Eponine", weight=1) + G.add_edge("Claquesous", "Thenardier", weight=4) + G.add_edge("Claquesous", "Babet", weight=4) + G.add_edge("Claquesous", "Gueulemer", weight=4) + G.add_edge("Claquesous", "Valjean", weight=1) + G.add_edge("Claquesous", "MmeThenardier", weight=1) + G.add_edge("Claquesous", "Javert", weight=1) + G.add_edge("Claquesous", "Eponine", weight=1) + G.add_edge("Claquesous", "Enjolras", weight=1) + G.add_edge("Montparnasse", "Javert", weight=1) + G.add_edge("Montparnasse", "Babet", weight=2) + G.add_edge("Montparnasse", "Gueulemer", weight=2) + G.add_edge("Montparnasse", "Claquesous", weight=2) + G.add_edge("Montparnasse", "Valjean", weight=1) + G.add_edge("Montparnasse", "Gavroche", weight=1) + G.add_edge("Montparnasse", "Eponine", weight=1) + G.add_edge("Montparnasse", "Thenardier", weight=1) + G.add_edge("Toussaint", "Cosette", weight=2) + G.add_edge("Toussaint", "Javert", weight=1) + G.add_edge("Toussaint", "Valjean", weight=1) + G.add_edge("Child1", "Gavroche", weight=2) + G.add_edge("Child2", "Gavroche", weight=2) + G.add_edge("Child2", "Child1", weight=3) + G.add_edge("Brujon", "Babet", weight=3) + G.add_edge("Brujon", "Gueulemer", weight=3) + G.add_edge("Brujon", "Thenardier", weight=3) + G.add_edge("Brujon", "Gavroche", weight=1) + G.add_edge("Brujon", "Eponine", weight=1) + G.add_edge("Brujon", "Claquesous", weight=1) + G.add_edge("Brujon", "Montparnasse", weight=1) + G.add_edge("MmeHucheloup", "Bossuet", weight=1) + G.add_edge("MmeHucheloup", "Joly", weight=1) + G.add_edge("MmeHucheloup", "Grantaire", weight=1) + G.add_edge("MmeHucheloup", "Bahorel", weight=1) + G.add_edge("MmeHucheloup", "Courfeyrac", weight=1) + G.add_edge("MmeHucheloup", "Gavroche", weight=1) + G.add_edge("MmeHucheloup", "Enjolras", weight=1) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/spectral_graph_forge.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/spectral_graph_forge.py new file mode 100644 index 0000000000000000000000000000000000000000..39a87f748307ac7884419a58dce84d0fdf498a88 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/spectral_graph_forge.py @@ -0,0 +1,120 @@ +"""Generates graphs with a given eigenvector structure""" + +import networkx as nx +from networkx.utils import np_random_state + +__all__ = ["spectral_graph_forge"] + + +@np_random_state(3) +@nx._dispatchable(returns_graph=True) +def spectral_graph_forge(G, alpha, transformation="identity", seed=None): + """Returns a random simple graph with spectrum resembling that of `G` + + This algorithm, called Spectral Graph Forge (SGF), computes the + eigenvectors of a given graph adjacency matrix, filters them and + builds a random graph with a similar eigenstructure. + SGF has been proved to be particularly useful for synthesizing + realistic social networks and it can also be used to anonymize + graph sensitive data. + + Parameters + ---------- + G : Graph + alpha : float + Ratio representing the percentage of eigenvectors of G to consider, + values in [0,1]. + transformation : string, optional + Represents the intended matrix linear transformation, possible values + are 'identity' and 'modularity' + seed : integer, random_state, or None (default) + Indicator of numpy random number generation state. + See :ref:`Randomness`. + + Returns + ------- + H : Graph + A graph with a similar eigenvector structure of the input one. + + Raises + ------ + NetworkXError + If transformation has a value different from 'identity' or 'modularity' + + Notes + ----- + Spectral Graph Forge (SGF) generates a random simple graph resembling the + global properties of the given one. + It leverages the low-rank approximation of the associated adjacency matrix + driven by the *alpha* precision parameter. + SGF preserves the number of nodes of the input graph and their ordering. + This way, nodes of output graphs resemble the properties of the input one + and attributes can be directly mapped. + + It considers the graph adjacency matrices which can optionally be + transformed to other symmetric real matrices (currently transformation + options include *identity* and *modularity*). + The *modularity* transformation, in the sense of Newman's modularity matrix + allows the focusing on community structure related properties of the graph. + + SGF applies a low-rank approximation whose fixed rank is computed from the + ratio *alpha* of the input graph adjacency matrix dimension. + This step performs a filtering on the input eigenvectors similar to the low + pass filtering common in telecommunications. + + The filtered values (after truncation) are used as input to a Bernoulli + sampling for constructing a random adjacency matrix. + + References + ---------- + .. [1] L. Baldesi, C. T. Butts, A. Markopoulou, "Spectral Graph Forge: + Graph Generation Targeting Modularity", IEEE Infocom, '18. + https://arxiv.org/abs/1801.01715 + .. [2] M. Newman, "Networks: an introduction", Oxford university press, + 2010 + + Examples + -------- + >>> G = nx.karate_club_graph() + >>> H = nx.spectral_graph_forge(G, 0.3) + >>> + """ + import numpy as np + import scipy as sp + + available_transformations = ["identity", "modularity"] + alpha = np.clip(alpha, 0, 1) + A = nx.to_numpy_array(G) + n = A.shape[1] + level = round(n * alpha) + + if transformation not in available_transformations: + msg = f"{transformation!r} is not a valid transformation. " + msg += f"Transformations: {available_transformations}" + raise nx.NetworkXError(msg) + + K = np.ones((1, n)) @ A + + B = A + if transformation == "modularity": + B -= K.T @ K / K.sum() + + # Compute low-rank approximation of B + evals, evecs = np.linalg.eigh(B) + k = np.argsort(np.abs(evals))[::-1] # indices of evals in descending order + evecs[:, k[np.arange(level, n)]] = 0 # set smallest eigenvectors to 0 + B = evecs @ np.diag(evals) @ evecs.T + + if transformation == "modularity": + B += K.T @ K / K.sum() + + B = np.clip(B, 0, 1) + np.fill_diagonal(B, 0) + + for i in range(n - 1): + B[i, i + 1 :] = sp.stats.bernoulli.rvs(B[i, i + 1 :], random_state=seed) + B[i + 1 :, i] = np.transpose(B[i, i + 1 :]) + + H = nx.from_numpy_array(B) + + return H diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/stochastic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/stochastic.py new file mode 100644 index 0000000000000000000000000000000000000000..f53e2315470f8ffcdea0380026a933e06ddf6ea7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/stochastic.py @@ -0,0 +1,54 @@ +"""Functions for generating stochastic graphs from a given weighted directed +graph. + +""" + +import networkx as nx +from networkx.classes import DiGraph, MultiDiGraph +from networkx.utils import not_implemented_for + +__all__ = ["stochastic_graph"] + + +@not_implemented_for("undirected") +@nx._dispatchable( + edge_attrs="weight", mutates_input={"not copy": 1}, returns_graph=True +) +def stochastic_graph(G, copy=True, weight="weight"): + """Returns a right-stochastic representation of directed graph `G`. + + A right-stochastic graph is a weighted digraph in which for each + node, the sum of the weights of all the out-edges of that node is + 1. If the graph is already weighted (for example, via a 'weight' + edge attribute), the reweighting takes that into account. + + Parameters + ---------- + G : directed graph + A :class:`~networkx.DiGraph` or :class:`~networkx.MultiDiGraph`. + + copy : boolean, optional + If this is True, then this function returns a new graph with + the stochastic reweighting. Otherwise, the original graph is + modified in-place (and also returned, for convenience). + + weight : edge attribute key (optional, default='weight') + Edge attribute key used for reading the existing weight and + setting the new weight. If no attribute with this key is found + for an edge, then the edge weight is assumed to be 1. If an edge + has a weight, it must be a positive number. + + """ + if copy: + G = MultiDiGraph(G) if G.is_multigraph() else DiGraph(G) + # There is a tradeoff here: the dictionary of node degrees may + # require a lot of memory, whereas making a call to `G.out_degree` + # inside the loop may be costly in computation time. + degree = dict(G.out_degree(weight=weight)) + for u, v, d in G.edges(data=True): + if degree[u] == 0: + d[weight] = 0 + else: + d[weight] = d.get(weight, 1) / degree[u] + nx._clear_cache(G) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/sudoku.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/sudoku.py new file mode 100644 index 0000000000000000000000000000000000000000..f288ed24d1f189588de7e1e0bba61f50bbad0003 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/sudoku.py @@ -0,0 +1,131 @@ +"""Generator for Sudoku graphs + +This module gives a generator for n-Sudoku graphs. It can be used to develop +algorithms for solving or generating Sudoku puzzles. + +A completed Sudoku grid is a 9x9 array of integers between 1 and 9, with no +number appearing twice in the same row, column, or 3x3 box. + ++---------+---------+---------+ +| | 8 6 4 | | 3 7 1 | | 2 5 9 | +| | 3 2 5 | | 8 4 9 | | 7 6 1 | +| | 9 7 1 | | 2 6 5 | | 8 4 3 | ++---------+---------+---------+ +| | 4 3 6 | | 1 9 2 | | 5 8 7 | +| | 1 9 8 | | 6 5 7 | | 4 3 2 | +| | 2 5 7 | | 4 8 3 | | 9 1 6 | ++---------+---------+---------+ +| | 6 8 9 | | 7 3 4 | | 1 2 5 | +| | 7 1 3 | | 5 2 8 | | 6 9 4 | +| | 5 4 2 | | 9 1 6 | | 3 7 8 | ++---------+---------+---------+ + + +The Sudoku graph is an undirected graph with 81 vertices, corresponding to +the cells of a Sudoku grid. It is a regular graph of degree 20. Two distinct +vertices are adjacent if and only if the corresponding cells belong to the +same row, column, or box. A completed Sudoku grid corresponds to a vertex +coloring of the Sudoku graph with nine colors. + +More generally, the n-Sudoku graph is a graph with n^4 vertices, corresponding +to the cells of an n^2 by n^2 grid. Two distinct vertices are adjacent if and +only if they belong to the same row, column, or n by n box. + +References +---------- +.. [1] Herzberg, A. M., & Murty, M. R. (2007). Sudoku squares and chromatic + polynomials. Notices of the AMS, 54(6), 708-717. +.. [2] Sander, Torsten (2009), "Sudoku graphs are integral", + Electronic Journal of Combinatorics, 16 (1): Note 25, 7pp, MR 2529816 +.. [3] Wikipedia contributors. "Glossary of Sudoku." Wikipedia, The Free + Encyclopedia, 3 Dec. 2019. Web. 22 Dec. 2019. +""" + +import networkx as nx +from networkx.exception import NetworkXError + +__all__ = ["sudoku_graph"] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def sudoku_graph(n=3): + """Returns the n-Sudoku graph. The default value of n is 3. + + The n-Sudoku graph is a graph with n^4 vertices, corresponding to the + cells of an n^2 by n^2 grid. Two distinct vertices are adjacent if and + only if they belong to the same row, column, or n-by-n box. + + Parameters + ---------- + n: integer + The order of the Sudoku graph, equal to the square root of the + number of rows. The default is 3. + + Returns + ------- + NetworkX graph + The n-Sudoku graph Sud(n). + + Examples + -------- + >>> G = nx.sudoku_graph() + >>> G.number_of_nodes() + 81 + >>> G.number_of_edges() + 810 + >>> sorted(G.neighbors(42)) + [6, 15, 24, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 51, 52, 53, 60, 69, 78] + >>> G = nx.sudoku_graph(2) + >>> G.number_of_nodes() + 16 + >>> G.number_of_edges() + 56 + + References + ---------- + .. [1] Herzberg, A. M., & Murty, M. R. (2007). Sudoku squares and chromatic + polynomials. Notices of the AMS, 54(6), 708-717. + .. [2] Sander, Torsten (2009), "Sudoku graphs are integral", + Electronic Journal of Combinatorics, 16 (1): Note 25, 7pp, MR 2529816 + .. [3] Wikipedia contributors. "Glossary of Sudoku." Wikipedia, The Free + Encyclopedia, 3 Dec. 2019. Web. 22 Dec. 2019. + """ + + if n < 0: + raise NetworkXError("The order must be greater than or equal to zero.") + + n2 = n * n + n3 = n2 * n + n4 = n3 * n + + # Construct an empty graph with n^4 nodes + G = nx.empty_graph(n4) + + # A Sudoku graph of order 0 or 1 has no edges + if n < 2: + return G + + # Add edges for cells in the same row + for row_no in range(n2): + row_start = row_no * n2 + for j in range(1, n2): + for i in range(j): + G.add_edge(row_start + i, row_start + j) + + # Add edges for cells in the same column + for col_no in range(n2): + for j in range(col_no, n4, n2): + for i in range(col_no, j, n2): + G.add_edge(i, j) + + # Add edges for cells in the same box + for band_no in range(n): + for stack_no in range(n): + box_start = n3 * band_no + n * stack_no + for j in range(1, n2): + for i in range(j): + u = box_start + (i % n) + n2 * (i // n) + v = box_start + (j % n) + n2 * (j // n) + G.add_edge(u, v) + + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_atlas.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_atlas.py new file mode 100644 index 0000000000000000000000000000000000000000..add4741c00e8d8aefe4fcf3a2a86815a15aab29c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_atlas.py @@ -0,0 +1,75 @@ +from itertools import groupby + +import pytest + +import networkx as nx +from networkx import graph_atlas, graph_atlas_g +from networkx.generators.atlas import NUM_GRAPHS +from networkx.utils import edges_equal, nodes_equal, pairwise + + +class TestAtlasGraph: + """Unit tests for the :func:`~networkx.graph_atlas` function.""" + + def test_index_too_small(self): + with pytest.raises(ValueError): + graph_atlas(-1) + + def test_index_too_large(self): + with pytest.raises(ValueError): + graph_atlas(NUM_GRAPHS) + + def test_graph(self): + G = graph_atlas(6) + assert nodes_equal(G.nodes(), range(3)) + assert edges_equal(G.edges(), [(0, 1), (0, 2)]) + + +class TestAtlasGraphG: + """Unit tests for the :func:`~networkx.graph_atlas_g` function.""" + + @classmethod + def setup_class(cls): + cls.GAG = graph_atlas_g() + + def test_sizes(self): + G = self.GAG[0] + assert G.number_of_nodes() == 0 + assert G.number_of_edges() == 0 + + G = self.GAG[7] + assert G.number_of_nodes() == 3 + assert G.number_of_edges() == 3 + + def test_names(self): + for i, G in enumerate(self.GAG): + assert int(G.name[1:]) == i + + def test_nondecreasing_nodes(self): + # check for nondecreasing number of nodes + for n1, n2 in pairwise(map(len, self.GAG)): + assert n2 <= n1 + 1 + + def test_nondecreasing_edges(self): + # check for nondecreasing number of edges (for fixed number of + # nodes) + for n, group in groupby(self.GAG, key=nx.number_of_nodes): + for m1, m2 in pairwise(map(nx.number_of_edges, group)): + assert m2 <= m1 + 1 + + def test_nondecreasing_degree_sequence(self): + # Check for lexicographically nondecreasing degree sequences + # (for fixed number of nodes and edges). + # + # There are three exceptions to this rule in the order given in + # the "Atlas of Graphs" book, so we need to manually exclude + # those. + exceptions = [("G55", "G56"), ("G1007", "G1008"), ("G1012", "G1013")] + for n, group in groupby(self.GAG, key=nx.number_of_nodes): + for m, group in groupby(group, key=nx.number_of_edges): + for G1, G2 in pairwise(group): + if (G1.name, G2.name) in exceptions: + continue + d1 = sorted(d for v, d in G1.degree()) + d2 = sorted(d for v, d in G2.degree()) + assert d1 <= d2 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_classic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_classic.py new file mode 100644 index 0000000000000000000000000000000000000000..9353c7f505cb2ab515614bc2920b60cbde0f0992 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_classic.py @@ -0,0 +1,640 @@ +""" +==================== +Generators - Classic +==================== + +Unit tests for various classic graph generators in generators/classic.py +""" + +import itertools +import typing + +import pytest + +import networkx as nx +from networkx.algorithms.isomorphism.isomorph import graph_could_be_isomorphic +from networkx.utils import edges_equal, nodes_equal + +is_isomorphic = graph_could_be_isomorphic + + +class TestGeneratorClassic: + def test_balanced_tree(self): + # balanced_tree(r,h) is a tree with (r**(h+1)-1)/(r-1) edges + for r, h in [(2, 2), (3, 3), (6, 2)]: + t = nx.balanced_tree(r, h) + order = t.order() + assert order == (r ** (h + 1) - 1) / (r - 1) + assert nx.is_connected(t) + assert t.size() == order - 1 + dh = nx.degree_histogram(t) + assert dh[0] == 0 # no nodes of 0 + assert dh[1] == r**h # nodes of degree 1 are leaves + assert dh[r] == 1 # root is degree r + assert dh[r + 1] == order - r**h - 1 # everyone else is degree r+1 + assert len(dh) == r + 2 + + def test_balanced_tree_star(self): + # balanced_tree(r,1) is the r-star + t = nx.balanced_tree(r=2, h=1) + assert is_isomorphic(t, nx.star_graph(2)) + t = nx.balanced_tree(r=5, h=1) + assert is_isomorphic(t, nx.star_graph(5)) + t = nx.balanced_tree(r=10, h=1) + assert is_isomorphic(t, nx.star_graph(10)) + + def test_balanced_tree_path(self): + """Tests that the balanced tree with branching factor one is the + path graph. + + """ + # A tree of height four has five levels. + T = nx.balanced_tree(1, 4) + P = nx.path_graph(5) + assert is_isomorphic(T, P) + + def test_full_rary_tree(self): + r = 2 + n = 9 + t = nx.full_rary_tree(r, n) + assert t.order() == n + assert nx.is_connected(t) + dh = nx.degree_histogram(t) + assert dh[0] == 0 # no nodes of 0 + assert dh[1] == 5 # nodes of degree 1 are leaves + assert dh[r] == 1 # root is degree r + assert dh[r + 1] == 9 - 5 - 1 # everyone else is degree r+1 + assert len(dh) == r + 2 + + def test_full_rary_tree_balanced(self): + t = nx.full_rary_tree(2, 15) + th = nx.balanced_tree(2, 3) + assert is_isomorphic(t, th) + + def test_full_rary_tree_path(self): + t = nx.full_rary_tree(1, 10) + assert is_isomorphic(t, nx.path_graph(10)) + + def test_full_rary_tree_empty(self): + t = nx.full_rary_tree(0, 10) + assert is_isomorphic(t, nx.empty_graph(10)) + t = nx.full_rary_tree(3, 0) + assert is_isomorphic(t, nx.empty_graph(0)) + + def test_full_rary_tree_3_20(self): + t = nx.full_rary_tree(3, 20) + assert t.order() == 20 + + def test_barbell_graph(self): + # number of nodes = 2*m1 + m2 (2 m1-complete graphs + m2-path + 2 edges) + # number of edges = 2*(nx.number_of_edges(m1-complete graph) + m2 + 1 + m1 = 3 + m2 = 5 + b = nx.barbell_graph(m1, m2) + assert nx.number_of_nodes(b) == 2 * m1 + m2 + assert nx.number_of_edges(b) == m1 * (m1 - 1) + m2 + 1 + + m1 = 4 + m2 = 10 + b = nx.barbell_graph(m1, m2) + assert nx.number_of_nodes(b) == 2 * m1 + m2 + assert nx.number_of_edges(b) == m1 * (m1 - 1) + m2 + 1 + + m1 = 3 + m2 = 20 + b = nx.barbell_graph(m1, m2) + assert nx.number_of_nodes(b) == 2 * m1 + m2 + assert nx.number_of_edges(b) == m1 * (m1 - 1) + m2 + 1 + + # Raise NetworkXError if m1<2 + m1 = 1 + m2 = 20 + pytest.raises(nx.NetworkXError, nx.barbell_graph, m1, m2) + + # Raise NetworkXError if m2<0 + m1 = 5 + m2 = -2 + pytest.raises(nx.NetworkXError, nx.barbell_graph, m1, m2) + + # nx.barbell_graph(2,m) = nx.path_graph(m+4) + m1 = 2 + m2 = 5 + b = nx.barbell_graph(m1, m2) + assert is_isomorphic(b, nx.path_graph(m2 + 4)) + + m1 = 2 + m2 = 10 + b = nx.barbell_graph(m1, m2) + assert is_isomorphic(b, nx.path_graph(m2 + 4)) + + m1 = 2 + m2 = 20 + b = nx.barbell_graph(m1, m2) + assert is_isomorphic(b, nx.path_graph(m2 + 4)) + + pytest.raises( + nx.NetworkXError, nx.barbell_graph, m1, m2, create_using=nx.DiGraph() + ) + + mb = nx.barbell_graph(m1, m2, create_using=nx.MultiGraph()) + assert edges_equal(mb.edges(), b.edges()) + + def test_binomial_tree(self): + graphs = (None, nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph) + for create_using in graphs: + for n in range(4): + b = nx.binomial_tree(n, create_using) + assert nx.number_of_nodes(b) == 2**n + assert nx.number_of_edges(b) == (2**n - 1) + + def test_complete_graph(self): + # complete_graph(m) is a connected graph with + # m nodes and m*(m+1)/2 edges + for m in [0, 1, 3, 5]: + g = nx.complete_graph(m) + assert nx.number_of_nodes(g) == m + assert nx.number_of_edges(g) == m * (m - 1) // 2 + + mg = nx.complete_graph(m, create_using=nx.MultiGraph) + assert edges_equal(mg.edges(), g.edges()) + + g = nx.complete_graph("abc") + assert nodes_equal(g.nodes(), ["a", "b", "c"]) + assert g.size() == 3 + + # creates a self-loop... should it? + g = nx.complete_graph("abcb") + assert nodes_equal(g.nodes(), ["a", "b", "c"]) + assert g.size() == 4 + + g = nx.complete_graph("abcb", create_using=nx.MultiGraph) + assert nodes_equal(g.nodes(), ["a", "b", "c"]) + assert g.size() == 6 + + def test_complete_digraph(self): + # complete_graph(m) is a connected graph with + # m nodes and m*(m+1)/2 edges + for m in [0, 1, 3, 5]: + g = nx.complete_graph(m, create_using=nx.DiGraph) + assert nx.number_of_nodes(g) == m + assert nx.number_of_edges(g) == m * (m - 1) + + g = nx.complete_graph("abc", create_using=nx.DiGraph) + assert len(g) == 3 + assert g.size() == 6 + assert g.is_directed() + + def test_circular_ladder_graph(self): + G = nx.circular_ladder_graph(5) + pytest.raises( + nx.NetworkXError, nx.circular_ladder_graph, 5, create_using=nx.DiGraph + ) + mG = nx.circular_ladder_graph(5, create_using=nx.MultiGraph) + assert edges_equal(mG.edges(), G.edges()) + + def test_circulant_graph(self): + # Ci_n(1) is the cycle graph for all n + Ci6_1 = nx.circulant_graph(6, [1]) + C6 = nx.cycle_graph(6) + assert edges_equal(Ci6_1.edges(), C6.edges()) + + # Ci_n(1, 2, ..., n div 2) is the complete graph for all n + Ci7 = nx.circulant_graph(7, [1, 2, 3]) + K7 = nx.complete_graph(7) + assert edges_equal(Ci7.edges(), K7.edges()) + + # Ci_6(1, 3) is K_3,3 i.e. the utility graph + Ci6_1_3 = nx.circulant_graph(6, [1, 3]) + K3_3 = nx.complete_bipartite_graph(3, 3) + assert is_isomorphic(Ci6_1_3, K3_3) + + def test_cycle_graph(self): + G = nx.cycle_graph(4) + assert edges_equal(G.edges(), [(0, 1), (0, 3), (1, 2), (2, 3)]) + mG = nx.cycle_graph(4, create_using=nx.MultiGraph) + assert edges_equal(mG.edges(), [(0, 1), (0, 3), (1, 2), (2, 3)]) + G = nx.cycle_graph(4, create_using=nx.DiGraph) + assert not G.has_edge(2, 1) + assert G.has_edge(1, 2) + assert G.is_directed() + + G = nx.cycle_graph("abc") + assert len(G) == 3 + assert G.size() == 3 + G = nx.cycle_graph("abcb") + assert len(G) == 3 + assert G.size() == 2 + g = nx.cycle_graph("abc", nx.DiGraph) + assert len(g) == 3 + assert g.size() == 3 + assert g.is_directed() + g = nx.cycle_graph("abcb", nx.DiGraph) + assert len(g) == 3 + assert g.size() == 4 + + def test_dorogovtsev_goltsev_mendes_graph(self): + G = nx.dorogovtsev_goltsev_mendes_graph(0) + assert edges_equal(G.edges(), [(0, 1)]) + assert nodes_equal(list(G), [0, 1]) + G = nx.dorogovtsev_goltsev_mendes_graph(1) + assert edges_equal(G.edges(), [(0, 1), (0, 2), (1, 2)]) + assert nx.average_clustering(G) == 1.0 + assert nx.average_shortest_path_length(G) == 1.0 + assert sorted(nx.triangles(G).values()) == [1, 1, 1] + assert nx.is_planar(G) + G = nx.dorogovtsev_goltsev_mendes_graph(2) + assert nx.number_of_nodes(G) == 6 + assert nx.number_of_edges(G) == 9 + assert nx.average_clustering(G) == 0.75 + assert nx.average_shortest_path_length(G) == 1.4 + assert nx.is_planar(G) + G = nx.dorogovtsev_goltsev_mendes_graph(10) + assert nx.number_of_nodes(G) == 29526 + assert nx.number_of_edges(G) == 59049 + assert G.degree(0) == 1024 + assert G.degree(1) == 1024 + assert G.degree(2) == 1024 + + with pytest.raises(nx.NetworkXError, match=r"n must be greater than"): + nx.dorogovtsev_goltsev_mendes_graph(-1) + with pytest.raises(nx.NetworkXError, match=r"directed graph not supported"): + nx.dorogovtsev_goltsev_mendes_graph(7, create_using=nx.DiGraph) + with pytest.raises(nx.NetworkXError, match=r"multigraph not supported"): + nx.dorogovtsev_goltsev_mendes_graph(7, create_using=nx.MultiGraph) + with pytest.raises(nx.NetworkXError): + nx.dorogovtsev_goltsev_mendes_graph(7, create_using=nx.MultiDiGraph) + + def test_create_using(self): + G = nx.empty_graph() + assert isinstance(G, nx.Graph) + pytest.raises(TypeError, nx.empty_graph, create_using=0.0) + pytest.raises(TypeError, nx.empty_graph, create_using="Graph") + + G = nx.empty_graph(create_using=nx.MultiGraph) + assert isinstance(G, nx.MultiGraph) + G = nx.empty_graph(create_using=nx.DiGraph) + assert isinstance(G, nx.DiGraph) + + G = nx.empty_graph(create_using=nx.DiGraph, default=nx.MultiGraph) + assert isinstance(G, nx.DiGraph) + G = nx.empty_graph(create_using=None, default=nx.MultiGraph) + assert isinstance(G, nx.MultiGraph) + G = nx.empty_graph(default=nx.MultiGraph) + assert isinstance(G, nx.MultiGraph) + + G = nx.path_graph(5) + H = nx.empty_graph(create_using=G) + assert not H.is_multigraph() + assert not H.is_directed() + assert len(H) == 0 + assert G is H + + H = nx.empty_graph(create_using=nx.MultiGraph()) + assert H.is_multigraph() + assert not H.is_directed() + assert G is not H + + # test for subclasses that also use typing.Protocol. See gh-6243 + class Mixin(typing.Protocol): + pass + + class MyGraph(Mixin, nx.DiGraph): + pass + + G = nx.empty_graph(create_using=MyGraph) + + def test_empty_graph(self): + G = nx.empty_graph() + assert nx.number_of_nodes(G) == 0 + G = nx.empty_graph(42) + assert nx.number_of_nodes(G) == 42 + assert nx.number_of_edges(G) == 0 + + G = nx.empty_graph("abc") + assert len(G) == 3 + assert G.size() == 0 + + # create empty digraph + G = nx.empty_graph(42, create_using=nx.DiGraph(name="duh")) + assert nx.number_of_nodes(G) == 42 + assert nx.number_of_edges(G) == 0 + assert isinstance(G, nx.DiGraph) + + # create empty multigraph + G = nx.empty_graph(42, create_using=nx.MultiGraph(name="duh")) + assert nx.number_of_nodes(G) == 42 + assert nx.number_of_edges(G) == 0 + assert isinstance(G, nx.MultiGraph) + + # create empty graph from another + pete = nx.petersen_graph() + G = nx.empty_graph(42, create_using=pete) + assert nx.number_of_nodes(G) == 42 + assert nx.number_of_edges(G) == 0 + assert isinstance(G, nx.Graph) + + def test_ladder_graph(self): + for i, G in [ + (0, nx.empty_graph(0)), + (1, nx.path_graph(2)), + (2, nx.hypercube_graph(2)), + (10, nx.grid_graph([2, 10])), + ]: + assert is_isomorphic(nx.ladder_graph(i), G) + + pytest.raises(nx.NetworkXError, nx.ladder_graph, 2, create_using=nx.DiGraph) + + g = nx.ladder_graph(2) + mg = nx.ladder_graph(2, create_using=nx.MultiGraph) + assert edges_equal(mg.edges(), g.edges()) + + @pytest.mark.parametrize(("m", "n"), [(3, 5), (4, 10), (3, 20)]) + def test_lollipop_graph_right_sizes(self, m, n): + G = nx.lollipop_graph(m, n) + assert nx.number_of_nodes(G) == m + n + assert nx.number_of_edges(G) == m * (m - 1) / 2 + n + + @pytest.mark.parametrize(("m", "n"), [("ab", ""), ("abc", "defg")]) + def test_lollipop_graph_size_node_sequence(self, m, n): + G = nx.lollipop_graph(m, n) + assert nx.number_of_nodes(G) == len(m) + len(n) + assert nx.number_of_edges(G) == len(m) * (len(m) - 1) / 2 + len(n) + + def test_lollipop_graph_exceptions(self): + # Raise NetworkXError if m<2 + pytest.raises(nx.NetworkXError, nx.lollipop_graph, -1, 2) + pytest.raises(nx.NetworkXError, nx.lollipop_graph, 1, 20) + pytest.raises(nx.NetworkXError, nx.lollipop_graph, "", 20) + pytest.raises(nx.NetworkXError, nx.lollipop_graph, "a", 20) + + # Raise NetworkXError if n<0 + pytest.raises(nx.NetworkXError, nx.lollipop_graph, 5, -2) + + # raise NetworkXError if create_using is directed + with pytest.raises(nx.NetworkXError): + nx.lollipop_graph(2, 20, create_using=nx.DiGraph) + with pytest.raises(nx.NetworkXError): + nx.lollipop_graph(2, 20, create_using=nx.MultiDiGraph) + + @pytest.mark.parametrize(("m", "n"), [(2, 0), (2, 5), (2, 10), ("ab", 20)]) + def test_lollipop_graph_same_as_path_when_m1_is_2(self, m, n): + G = nx.lollipop_graph(m, n) + assert is_isomorphic(G, nx.path_graph(n + 2)) + + def test_lollipop_graph_for_multigraph(self): + G = nx.lollipop_graph(5, 20) + MG = nx.lollipop_graph(5, 20, create_using=nx.MultiGraph) + assert edges_equal(MG.edges(), G.edges()) + + @pytest.mark.parametrize( + ("m", "n"), + [(4, "abc"), ("abcd", 3), ([1, 2, 3, 4], "abc"), ("abcd", [1, 2, 3])], + ) + def test_lollipop_graph_mixing_input_types(self, m, n): + expected = nx.compose(nx.complete_graph(4), nx.path_graph(range(100, 103))) + expected.add_edge(0, 100) # Connect complete graph and path graph + assert is_isomorphic(nx.lollipop_graph(m, n), expected) + + def test_lollipop_graph_non_builtin_ints(self): + np = pytest.importorskip("numpy") + G = nx.lollipop_graph(np.int32(4), np.int64(3)) + expected = nx.compose(nx.complete_graph(4), nx.path_graph(range(100, 103))) + expected.add_edge(0, 100) # Connect complete graph and path graph + assert is_isomorphic(G, expected) + + def test_null_graph(self): + assert nx.number_of_nodes(nx.null_graph()) == 0 + + def test_path_graph(self): + p = nx.path_graph(0) + assert is_isomorphic(p, nx.null_graph()) + + p = nx.path_graph(1) + assert is_isomorphic(p, nx.empty_graph(1)) + + p = nx.path_graph(10) + assert nx.is_connected(p) + assert sorted(d for n, d in p.degree()) == [1, 1, 2, 2, 2, 2, 2, 2, 2, 2] + assert p.order() - 1 == p.size() + + dp = nx.path_graph(3, create_using=nx.DiGraph) + assert dp.has_edge(0, 1) + assert not dp.has_edge(1, 0) + + mp = nx.path_graph(10, create_using=nx.MultiGraph) + assert edges_equal(mp.edges(), p.edges()) + + G = nx.path_graph("abc") + assert len(G) == 3 + assert G.size() == 2 + G = nx.path_graph("abcb") + assert len(G) == 3 + assert G.size() == 2 + g = nx.path_graph("abc", nx.DiGraph) + assert len(g) == 3 + assert g.size() == 2 + assert g.is_directed() + g = nx.path_graph("abcb", nx.DiGraph) + assert len(g) == 3 + assert g.size() == 3 + + G = nx.path_graph((1, 2, 3, 2, 4)) + assert G.has_edge(2, 4) + + def test_star_graph(self): + assert is_isomorphic(nx.star_graph(""), nx.empty_graph(0)) + assert is_isomorphic(nx.star_graph([]), nx.empty_graph(0)) + assert is_isomorphic(nx.star_graph(0), nx.empty_graph(1)) + assert is_isomorphic(nx.star_graph(1), nx.path_graph(2)) + assert is_isomorphic(nx.star_graph(2), nx.path_graph(3)) + assert is_isomorphic(nx.star_graph(5), nx.complete_bipartite_graph(1, 5)) + + s = nx.star_graph(10) + assert sorted(d for n, d in s.degree()) == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10] + + pytest.raises(nx.NetworkXError, nx.star_graph, 10, create_using=nx.DiGraph) + + ms = nx.star_graph(10, create_using=nx.MultiGraph) + assert edges_equal(ms.edges(), s.edges()) + + G = nx.star_graph("abc") + assert len(G) == 3 + assert G.size() == 2 + + G = nx.star_graph("abcb") + assert len(G) == 3 + assert G.size() == 2 + G = nx.star_graph("abcb", create_using=nx.MultiGraph) + assert len(G) == 3 + assert G.size() == 3 + + G = nx.star_graph("abcdefg") + assert len(G) == 7 + assert G.size() == 6 + + def test_non_int_integers_for_star_graph(self): + np = pytest.importorskip("numpy") + G = nx.star_graph(np.int32(3)) + assert len(G) == 4 + assert G.size() == 3 + + @pytest.mark.parametrize(("m", "n"), [(3, 0), (3, 5), (4, 10), (3, 20)]) + def test_tadpole_graph_right_sizes(self, m, n): + G = nx.tadpole_graph(m, n) + assert nx.number_of_nodes(G) == m + n + assert nx.number_of_edges(G) == m + n - (m == 2) + + @pytest.mark.parametrize(("m", "n"), [("ab", ""), ("ab", "c"), ("abc", "defg")]) + def test_tadpole_graph_size_node_sequences(self, m, n): + G = nx.tadpole_graph(m, n) + assert nx.number_of_nodes(G) == len(m) + len(n) + assert nx.number_of_edges(G) == len(m) + len(n) - (len(m) == 2) + + def test_tadpole_graph_exceptions(self): + # Raise NetworkXError if m<2 + pytest.raises(nx.NetworkXError, nx.tadpole_graph, -1, 3) + pytest.raises(nx.NetworkXError, nx.tadpole_graph, 0, 3) + pytest.raises(nx.NetworkXError, nx.tadpole_graph, 1, 3) + + # Raise NetworkXError if n<0 + pytest.raises(nx.NetworkXError, nx.tadpole_graph, 5, -2) + + # Raise NetworkXError for digraphs + with pytest.raises(nx.NetworkXError): + nx.tadpole_graph(2, 20, create_using=nx.DiGraph) + with pytest.raises(nx.NetworkXError): + nx.tadpole_graph(2, 20, create_using=nx.MultiDiGraph) + + @pytest.mark.parametrize(("m", "n"), [(2, 0), (2, 5), (2, 10), ("ab", 20)]) + def test_tadpole_graph_same_as_path_when_m_is_2(self, m, n): + G = nx.tadpole_graph(m, n) + assert is_isomorphic(G, nx.path_graph(n + 2)) + + @pytest.mark.parametrize("m", [4, 7]) + def test_tadpole_graph_same_as_cycle_when_m2_is_0(self, m): + G = nx.tadpole_graph(m, 0) + assert is_isomorphic(G, nx.cycle_graph(m)) + + def test_tadpole_graph_for_multigraph(self): + G = nx.tadpole_graph(5, 20) + MG = nx.tadpole_graph(5, 20, create_using=nx.MultiGraph) + assert edges_equal(MG.edges(), G.edges()) + + @pytest.mark.parametrize( + ("m", "n"), + [(4, "abc"), ("abcd", 3), ([1, 2, 3, 4], "abc"), ("abcd", [1, 2, 3])], + ) + def test_tadpole_graph_mixing_input_types(self, m, n): + expected = nx.compose(nx.cycle_graph(4), nx.path_graph(range(100, 103))) + expected.add_edge(0, 100) # Connect cycle and path + assert is_isomorphic(nx.tadpole_graph(m, n), expected) + + def test_tadpole_graph_non_builtin_integers(self): + np = pytest.importorskip("numpy") + G = nx.tadpole_graph(np.int32(4), np.int64(3)) + expected = nx.compose(nx.cycle_graph(4), nx.path_graph(range(100, 103))) + expected.add_edge(0, 100) # Connect cycle and path + assert is_isomorphic(G, expected) + + def test_trivial_graph(self): + assert nx.number_of_nodes(nx.trivial_graph()) == 1 + + def test_turan_graph(self): + assert nx.number_of_edges(nx.turan_graph(13, 4)) == 63 + assert is_isomorphic( + nx.turan_graph(13, 4), nx.complete_multipartite_graph(3, 4, 3, 3) + ) + + def test_wheel_graph(self): + for n, G in [ + ("", nx.null_graph()), + (0, nx.null_graph()), + (1, nx.empty_graph(1)), + (2, nx.path_graph(2)), + (3, nx.complete_graph(3)), + (4, nx.complete_graph(4)), + ]: + g = nx.wheel_graph(n) + assert is_isomorphic(g, G) + + g = nx.wheel_graph(10) + assert sorted(d for n, d in g.degree()) == [3, 3, 3, 3, 3, 3, 3, 3, 3, 9] + + pytest.raises(nx.NetworkXError, nx.wheel_graph, 10, create_using=nx.DiGraph) + + mg = nx.wheel_graph(10, create_using=nx.MultiGraph()) + assert edges_equal(mg.edges(), g.edges()) + + G = nx.wheel_graph("abc") + assert len(G) == 3 + assert G.size() == 3 + + G = nx.wheel_graph("abcb") + assert len(G) == 3 + assert G.size() == 4 + G = nx.wheel_graph("abcb", nx.MultiGraph) + assert len(G) == 3 + assert G.size() == 6 + + def test_non_int_integers_for_wheel_graph(self): + np = pytest.importorskip("numpy") + G = nx.wheel_graph(np.int32(3)) + assert len(G) == 3 + assert G.size() == 3 + + def test_complete_0_partite_graph(self): + """Tests that the complete 0-partite graph is the null graph.""" + G = nx.complete_multipartite_graph() + H = nx.null_graph() + assert nodes_equal(G, H) + assert edges_equal(G.edges(), H.edges()) + + def test_complete_1_partite_graph(self): + """Tests that the complete 1-partite graph is the empty graph.""" + G = nx.complete_multipartite_graph(3) + H = nx.empty_graph(3) + assert nodes_equal(G, H) + assert edges_equal(G.edges(), H.edges()) + + def test_complete_2_partite_graph(self): + """Tests that the complete 2-partite graph is the complete bipartite + graph. + + """ + G = nx.complete_multipartite_graph(2, 3) + H = nx.complete_bipartite_graph(2, 3) + assert nodes_equal(G, H) + assert edges_equal(G.edges(), H.edges()) + + def test_complete_multipartite_graph(self): + """Tests for generating the complete multipartite graph.""" + G = nx.complete_multipartite_graph(2, 3, 4) + blocks = [(0, 1), (2, 3, 4), (5, 6, 7, 8)] + # Within each block, no two vertices should be adjacent. + for block in blocks: + for u, v in itertools.combinations_with_replacement(block, 2): + assert v not in G[u] + assert G.nodes[u] == G.nodes[v] + # Across blocks, all vertices should be adjacent. + for block1, block2 in itertools.combinations(blocks, 2): + for u, v in itertools.product(block1, block2): + assert v in G[u] + assert G.nodes[u] != G.nodes[v] + with pytest.raises(nx.NetworkXError, match="Negative number of nodes"): + nx.complete_multipartite_graph(2, -3, 4) + + def test_kneser_graph(self): + # the petersen graph is a special case of the kneser graph when n=5 and k=2 + assert is_isomorphic(nx.kneser_graph(5, 2), nx.petersen_graph()) + + # when k is 1, the kneser graph returns a complete graph with n vertices + for i in range(1, 7): + assert is_isomorphic(nx.kneser_graph(i, 1), nx.complete_graph(i)) + + # the kneser graph of n and n-1 is the empty graph with n vertices + for j in range(3, 7): + assert is_isomorphic(nx.kneser_graph(j, j - 1), nx.empty_graph(j)) + + # in general the number of edges of the kneser graph is equal to + # (n choose k) times (n-k choose k) divided by 2 + assert nx.number_of_edges(nx.kneser_graph(8, 3)) == 280 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_cographs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_cographs.py new file mode 100644 index 0000000000000000000000000000000000000000..a71849b019e7fc3f198a240fc137de0cfddaed0d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_cographs.py @@ -0,0 +1,18 @@ +"""Unit tests for the :mod:`networkx.generators.cographs` module.""" + +import networkx as nx + + +def test_random_cograph(): + n = 3 + G = nx.random_cograph(n) + + assert len(G) == 2**n + + # Every connected subgraph of G has diameter <= 2 + if nx.is_connected(G): + assert nx.diameter(G) <= 2 + else: + components = nx.connected_components(G) + for component in components: + assert nx.diameter(G.subgraph(component)) <= 2 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_community.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_community.py new file mode 100644 index 0000000000000000000000000000000000000000..2fa107f6dde9f280123796f81b919c99f92ee20c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_community.py @@ -0,0 +1,362 @@ +import pytest + +import networkx as nx + + +def test_random_partition_graph(): + G = nx.random_partition_graph([3, 3, 3], 1, 0, seed=42) + C = G.graph["partition"] + assert C == [{0, 1, 2}, {3, 4, 5}, {6, 7, 8}] + assert len(G) == 9 + assert len(list(G.edges())) == 9 + + G = nx.random_partition_graph([3, 3, 3], 0, 1) + C = G.graph["partition"] + assert C == [{0, 1, 2}, {3, 4, 5}, {6, 7, 8}] + assert len(G) == 9 + assert len(list(G.edges())) == 27 + + G = nx.random_partition_graph([3, 3, 3], 1, 0, directed=True) + C = G.graph["partition"] + assert C == [{0, 1, 2}, {3, 4, 5}, {6, 7, 8}] + assert len(G) == 9 + assert len(list(G.edges())) == 18 + + G = nx.random_partition_graph([3, 3, 3], 0, 1, directed=True) + C = G.graph["partition"] + assert C == [{0, 1, 2}, {3, 4, 5}, {6, 7, 8}] + assert len(G) == 9 + assert len(list(G.edges())) == 54 + + G = nx.random_partition_graph([1, 2, 3, 4, 5], 0.5, 0.1) + C = G.graph["partition"] + assert C == [{0}, {1, 2}, {3, 4, 5}, {6, 7, 8, 9}, {10, 11, 12, 13, 14}] + assert len(G) == 15 + + rpg = nx.random_partition_graph + pytest.raises(nx.NetworkXError, rpg, [1, 2, 3], 1.1, 0.1) + pytest.raises(nx.NetworkXError, rpg, [1, 2, 3], -0.1, 0.1) + pytest.raises(nx.NetworkXError, rpg, [1, 2, 3], 0.1, 1.1) + pytest.raises(nx.NetworkXError, rpg, [1, 2, 3], 0.1, -0.1) + + +def test_planted_partition_graph(): + G = nx.planted_partition_graph(4, 3, 1, 0, seed=42) + C = G.graph["partition"] + assert len(C) == 4 + assert len(G) == 12 + assert len(list(G.edges())) == 12 + + G = nx.planted_partition_graph(4, 3, 0, 1) + C = G.graph["partition"] + assert len(C) == 4 + assert len(G) == 12 + assert len(list(G.edges())) == 54 + + G = nx.planted_partition_graph(10, 4, 0.5, 0.1, seed=42) + C = G.graph["partition"] + assert len(C) == 10 + assert len(G) == 40 + + G = nx.planted_partition_graph(4, 3, 1, 0, directed=True) + C = G.graph["partition"] + assert len(C) == 4 + assert len(G) == 12 + assert len(list(G.edges())) == 24 + + G = nx.planted_partition_graph(4, 3, 0, 1, directed=True) + C = G.graph["partition"] + assert len(C) == 4 + assert len(G) == 12 + assert len(list(G.edges())) == 108 + + G = nx.planted_partition_graph(10, 4, 0.5, 0.1, seed=42, directed=True) + C = G.graph["partition"] + assert len(C) == 10 + assert len(G) == 40 + + ppg = nx.planted_partition_graph + pytest.raises(nx.NetworkXError, ppg, 3, 3, 1.1, 0.1) + pytest.raises(nx.NetworkXError, ppg, 3, 3, -0.1, 0.1) + pytest.raises(nx.NetworkXError, ppg, 3, 3, 0.1, 1.1) + pytest.raises(nx.NetworkXError, ppg, 3, 3, 0.1, -0.1) + + +def test_relaxed_caveman_graph(): + G = nx.relaxed_caveman_graph(4, 3, 0) + assert len(G) == 12 + G = nx.relaxed_caveman_graph(4, 3, 1) + assert len(G) == 12 + G = nx.relaxed_caveman_graph(4, 3, 0.5) + assert len(G) == 12 + G = nx.relaxed_caveman_graph(4, 3, 0.5, seed=42) + assert len(G) == 12 + + +def test_connected_caveman_graph(): + G = nx.connected_caveman_graph(4, 3) + assert len(G) == 12 + + G = nx.connected_caveman_graph(1, 5) + K5 = nx.complete_graph(5) + K5.remove_edge(3, 4) + assert nx.is_isomorphic(G, K5) + + # need at least 2 nodes in each clique + pytest.raises(nx.NetworkXError, nx.connected_caveman_graph, 4, 1) + + +def test_caveman_graph(): + G = nx.caveman_graph(4, 3) + assert len(G) == 12 + + G = nx.caveman_graph(5, 1) + E5 = nx.empty_graph(5) + assert nx.is_isomorphic(G, E5) + + G = nx.caveman_graph(1, 5) + K5 = nx.complete_graph(5) + assert nx.is_isomorphic(G, K5) + + +def test_gaussian_random_partition_graph(): + G = nx.gaussian_random_partition_graph(100, 10, 10, 0.3, 0.01) + assert len(G) == 100 + G = nx.gaussian_random_partition_graph(100, 10, 10, 0.3, 0.01, directed=True) + assert len(G) == 100 + G = nx.gaussian_random_partition_graph( + 100, 10, 10, 0.3, 0.01, directed=False, seed=42 + ) + assert len(G) == 100 + assert not isinstance(G, nx.DiGraph) + G = nx.gaussian_random_partition_graph( + 100, 10, 10, 0.3, 0.01, directed=True, seed=42 + ) + assert len(G) == 100 + assert isinstance(G, nx.DiGraph) + pytest.raises( + nx.NetworkXError, nx.gaussian_random_partition_graph, 100, 101, 10, 1, 0 + ) + # Test when clusters are likely less than 1 + G = nx.gaussian_random_partition_graph(10, 0.5, 0.5, 0.5, 0.5, seed=1) + assert len(G) == 10 + + +def test_ring_of_cliques(): + for i in range(2, 20, 3): + for j in range(2, 20, 3): + G = nx.ring_of_cliques(i, j) + assert G.number_of_nodes() == i * j + if i != 2 or j != 1: + expected_num_edges = i * (((j * (j - 1)) // 2) + 1) + else: + # the edge that already exists cannot be duplicated + expected_num_edges = i * (((j * (j - 1)) // 2) + 1) - 1 + assert G.number_of_edges() == expected_num_edges + with pytest.raises( + nx.NetworkXError, match="A ring of cliques must have at least two cliques" + ): + nx.ring_of_cliques(1, 5) + with pytest.raises( + nx.NetworkXError, match="The cliques must have at least two nodes" + ): + nx.ring_of_cliques(3, 0) + + +def test_windmill_graph(): + for n in range(2, 20, 3): + for k in range(2, 20, 3): + G = nx.windmill_graph(n, k) + assert G.number_of_nodes() == (k - 1) * n + 1 + assert G.number_of_edges() == n * k * (k - 1) / 2 + assert G.degree(0) == G.number_of_nodes() - 1 + for i in range(1, G.number_of_nodes()): + assert G.degree(i) == k - 1 + with pytest.raises( + nx.NetworkXError, match="A windmill graph must have at least two cliques" + ): + nx.windmill_graph(1, 3) + with pytest.raises( + nx.NetworkXError, match="The cliques must have at least two nodes" + ): + nx.windmill_graph(3, 0) + + +def test_stochastic_block_model(): + sizes = [75, 75, 300] + probs = [[0.25, 0.05, 0.02], [0.05, 0.35, 0.07], [0.02, 0.07, 0.40]] + G = nx.stochastic_block_model(sizes, probs, seed=0) + C = G.graph["partition"] + assert len(C) == 3 + assert len(G) == 450 + assert G.size() == 22160 + + GG = nx.stochastic_block_model(sizes, probs, range(450), seed=0) + assert G.nodes == GG.nodes + + # Test Exceptions + sbm = nx.stochastic_block_model + badnodelist = list(range(400)) # not enough nodes to match sizes + badprobs1 = [[0.25, 0.05, 1.02], [0.05, 0.35, 0.07], [0.02, 0.07, 0.40]] + badprobs2 = [[0.25, 0.05, 0.02], [0.05, -0.35, 0.07], [0.02, 0.07, 0.40]] + probs_rect1 = [[0.25, 0.05, 0.02], [0.05, -0.35, 0.07]] + probs_rect2 = [[0.25, 0.05], [0.05, -0.35], [0.02, 0.07]] + asymprobs = [[0.25, 0.05, 0.01], [0.05, -0.35, 0.07], [0.02, 0.07, 0.40]] + pytest.raises(nx.NetworkXException, sbm, sizes, badprobs1) + pytest.raises(nx.NetworkXException, sbm, sizes, badprobs2) + pytest.raises(nx.NetworkXException, sbm, sizes, probs_rect1, directed=True) + pytest.raises(nx.NetworkXException, sbm, sizes, probs_rect2, directed=True) + pytest.raises(nx.NetworkXException, sbm, sizes, asymprobs, directed=False) + pytest.raises(nx.NetworkXException, sbm, sizes, probs, badnodelist) + nodelist = [0] + list(range(449)) # repeated node name in nodelist + pytest.raises(nx.NetworkXException, sbm, sizes, probs, nodelist) + + # Extra keyword arguments test + GG = nx.stochastic_block_model(sizes, probs, seed=0, selfloops=True) + assert G.nodes == GG.nodes + GG = nx.stochastic_block_model(sizes, probs, selfloops=True, directed=True) + assert G.nodes == GG.nodes + GG = nx.stochastic_block_model(sizes, probs, seed=0, sparse=False) + assert G.nodes == GG.nodes + + +def test_generator(): + n = 250 + tau1 = 3 + tau2 = 1.5 + mu = 0.1 + G = nx.LFR_benchmark_graph( + n, tau1, tau2, mu, average_degree=5, min_community=20, seed=10 + ) + assert len(G) == 250 + C = {frozenset(G.nodes[v]["community"]) for v in G} + assert nx.community.is_partition(G.nodes(), C) + + +def test_invalid_tau1(): + with pytest.raises(nx.NetworkXError, match="tau2 must be greater than one"): + n = 100 + tau1 = 2 + tau2 = 1 + mu = 0.1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu, min_degree=2) + + +def test_invalid_tau2(): + with pytest.raises(nx.NetworkXError, match="tau1 must be greater than one"): + n = 100 + tau1 = 1 + tau2 = 2 + mu = 0.1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu, min_degree=2) + + +def test_mu_too_large(): + with pytest.raises(nx.NetworkXError, match="mu must be in the interval \\[0, 1\\]"): + n = 100 + tau1 = 2 + tau2 = 2 + mu = 1.1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu, min_degree=2) + + +def test_mu_too_small(): + with pytest.raises(nx.NetworkXError, match="mu must be in the interval \\[0, 1\\]"): + n = 100 + tau1 = 2 + tau2 = 2 + mu = -1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu, min_degree=2) + + +def test_both_degrees_none(): + with pytest.raises( + nx.NetworkXError, + match="Must assign exactly one of min_degree and average_degree", + ): + n = 100 + tau1 = 2 + tau2 = 2 + mu = 1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu) + + +def test_neither_degrees_none(): + with pytest.raises( + nx.NetworkXError, + match="Must assign exactly one of min_degree and average_degree", + ): + n = 100 + tau1 = 2 + tau2 = 2 + mu = 1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu, min_degree=2, average_degree=5) + + +def test_max_iters_exceeded(): + with pytest.raises( + nx.ExceededMaxIterations, + match="Could not assign communities; try increasing min_community", + ): + n = 10 + tau1 = 2 + tau2 = 2 + mu = 0.1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu, min_degree=2, max_iters=10, seed=1) + + +def test_max_deg_out_of_range(): + with pytest.raises( + nx.NetworkXError, match="max_degree must be in the interval \\(0, n\\]" + ): + n = 10 + tau1 = 2 + tau2 = 2 + mu = 0.1 + nx.LFR_benchmark_graph( + n, tau1, tau2, mu, max_degree=n + 1, max_iters=10, seed=1 + ) + + +def test_max_community(): + n = 250 + tau1 = 3 + tau2 = 1.5 + mu = 0.1 + G = nx.LFR_benchmark_graph( + n, + tau1, + tau2, + mu, + average_degree=5, + max_degree=100, + min_community=50, + max_community=200, + seed=10, + ) + assert len(G) == 250 + C = {frozenset(G.nodes[v]["community"]) for v in G} + assert nx.community.is_partition(G.nodes(), C) + + +def test_powerlaw_iterations_exceeded(): + with pytest.raises( + nx.ExceededMaxIterations, match="Could not create power law sequence" + ): + n = 100 + tau1 = 2 + tau2 = 2 + mu = 1 + nx.LFR_benchmark_graph(n, tau1, tau2, mu, min_degree=2, max_iters=0) + + +def test_no_scipy_zeta(): + zeta2 = 1.6449340668482264 + assert abs(zeta2 - nx.generators.community._hurwitz_zeta(2, 1, 0.0001)) < 0.01 + + +def test_generate_min_degree_itr(): + with pytest.raises( + nx.ExceededMaxIterations, match="Could not match average_degree" + ): + nx.generators.community._generate_min_degree(2, 2, 1, 0.01, 0) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_degree_seq.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_degree_seq.py new file mode 100644 index 0000000000000000000000000000000000000000..39ed59a5f32270242b8d069c57229d3e10ba7f43 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_degree_seq.py @@ -0,0 +1,230 @@ +import pytest + +import networkx as nx + + +class TestConfigurationModel: + """Unit tests for the :func:`~networkx.configuration_model` + function. + + """ + + def test_empty_degree_sequence(self): + """Tests that an empty degree sequence yields the null graph.""" + G = nx.configuration_model([]) + assert len(G) == 0 + + def test_degree_zero(self): + """Tests that a degree sequence of all zeros yields the empty + graph. + + """ + G = nx.configuration_model([0, 0, 0]) + assert len(G) == 3 + assert G.number_of_edges() == 0 + + def test_degree_sequence(self): + """Tests that the degree sequence of the generated graph matches + the input degree sequence. + + """ + deg_seq = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + G = nx.configuration_model(deg_seq, seed=12345678) + assert sorted((d for n, d in G.degree()), reverse=True) == [ + 5, + 3, + 3, + 3, + 3, + 2, + 2, + 2, + 1, + 1, + 1, + ] + assert sorted((d for n, d in G.degree(range(len(deg_seq)))), reverse=True) == [ + 5, + 3, + 3, + 3, + 3, + 2, + 2, + 2, + 1, + 1, + 1, + ] + + def test_random_seed(self): + """Tests that each call with the same random seed generates the + same graph. + + """ + deg_seq = [3] * 12 + G1 = nx.configuration_model(deg_seq, seed=1000) + G2 = nx.configuration_model(deg_seq, seed=1000) + assert nx.is_isomorphic(G1, G2) + G1 = nx.configuration_model(deg_seq, seed=10) + G2 = nx.configuration_model(deg_seq, seed=10) + assert nx.is_isomorphic(G1, G2) + + def test_directed_disallowed(self): + """Tests that attempting to create a configuration model graph + using a directed graph yields an exception. + + """ + with pytest.raises(nx.NetworkXNotImplemented): + nx.configuration_model([], create_using=nx.DiGraph()) + + def test_odd_degree_sum(self): + """Tests that a degree sequence whose sum is odd yields an + exception. + + """ + with pytest.raises(nx.NetworkXError): + nx.configuration_model([1, 2]) + + +def test_directed_configuration_raise_unequal(): + with pytest.raises(nx.NetworkXError): + zin = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1] + zout = [5, 3, 3, 3, 3, 2, 2, 2, 1, 2] + nx.directed_configuration_model(zin, zout) + + +def test_directed_configuration_model(): + G = nx.directed_configuration_model([], [], seed=0) + assert len(G) == 0 + + +def test_simple_directed_configuration_model(): + G = nx.directed_configuration_model([1, 1], [1, 1], seed=0) + assert len(G) == 2 + + +def test_expected_degree_graph_empty(): + # empty graph has empty degree sequence + deg_seq = [] + G = nx.expected_degree_graph(deg_seq) + assert dict(G.degree()) == {} + + +def test_expected_degree_graph(): + # test that fixed seed delivers the same graph + deg_seq = [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3] + G1 = nx.expected_degree_graph(deg_seq, seed=1000) + assert len(G1) == 12 + + G2 = nx.expected_degree_graph(deg_seq, seed=1000) + assert nx.is_isomorphic(G1, G2) + + G1 = nx.expected_degree_graph(deg_seq, seed=10) + G2 = nx.expected_degree_graph(deg_seq, seed=10) + assert nx.is_isomorphic(G1, G2) + + +def test_expected_degree_graph_selfloops(): + deg_seq = [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3] + G1 = nx.expected_degree_graph(deg_seq, seed=1000, selfloops=False) + G2 = nx.expected_degree_graph(deg_seq, seed=1000, selfloops=False) + assert nx.is_isomorphic(G1, G2) + assert len(G1) == 12 + + +def test_expected_degree_graph_skew(): + deg_seq = [10, 2, 2, 2, 2] + G1 = nx.expected_degree_graph(deg_seq, seed=1000) + G2 = nx.expected_degree_graph(deg_seq, seed=1000) + assert nx.is_isomorphic(G1, G2) + assert len(G1) == 5 + + +def test_havel_hakimi_construction(): + G = nx.havel_hakimi_graph([]) + assert len(G) == 0 + + z = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + pytest.raises(nx.NetworkXError, nx.havel_hakimi_graph, z) + z = ["A", 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + pytest.raises(nx.NetworkXError, nx.havel_hakimi_graph, z) + + z = [5, 4, 3, 3, 3, 2, 2, 2] + G = nx.havel_hakimi_graph(z) + G = nx.configuration_model(z) + z = [6, 5, 4, 4, 2, 1, 1, 1] + pytest.raises(nx.NetworkXError, nx.havel_hakimi_graph, z) + + z = [10, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2] + + G = nx.havel_hakimi_graph(z) + + pytest.raises(nx.NetworkXError, nx.havel_hakimi_graph, z, create_using=nx.DiGraph()) + + +def test_directed_havel_hakimi(): + # Test range of valid directed degree sequences + n, r = 100, 10 + p = 1.0 / r + for i in range(r): + G1 = nx.erdos_renyi_graph(n, p * (i + 1), None, True) + din1 = [d for n, d in G1.in_degree()] + dout1 = [d for n, d in G1.out_degree()] + G2 = nx.directed_havel_hakimi_graph(din1, dout1) + din2 = [d for n, d in G2.in_degree()] + dout2 = [d for n, d in G2.out_degree()] + assert sorted(din1) == sorted(din2) + assert sorted(dout1) == sorted(dout2) + + # Test non-graphical sequence + dout = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1] + din = [103, 102, 102, 102, 102, 102, 102, 102, 102, 102] + pytest.raises(nx.exception.NetworkXError, nx.directed_havel_hakimi_graph, din, dout) + # Test valid sequences + dout = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + din = [2, 2, 2, 2, 2, 2, 2, 2, 0, 2] + G2 = nx.directed_havel_hakimi_graph(din, dout) + dout2 = (d for n, d in G2.out_degree()) + din2 = (d for n, d in G2.in_degree()) + assert sorted(dout) == sorted(dout2) + assert sorted(din) == sorted(din2) + # Test unequal sums + din = [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] + pytest.raises(nx.exception.NetworkXError, nx.directed_havel_hakimi_graph, din, dout) + # Test for negative values + din = [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2] + pytest.raises(nx.exception.NetworkXError, nx.directed_havel_hakimi_graph, din, dout) + + +def test_degree_sequence_tree(): + z = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + G = nx.degree_sequence_tree(z) + assert len(G) == len(z) + assert len(list(G.edges())) == sum(z) / 2 + + pytest.raises( + nx.NetworkXError, nx.degree_sequence_tree, z, create_using=nx.DiGraph() + ) + + z = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + pytest.raises(nx.NetworkXError, nx.degree_sequence_tree, z) + + +def test_random_degree_sequence_graph(): + d = [1, 2, 2, 3] + G = nx.random_degree_sequence_graph(d, seed=42) + assert d == sorted(d for n, d in G.degree()) + + +def test_random_degree_sequence_graph_raise(): + z = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4] + pytest.raises(nx.NetworkXUnfeasible, nx.random_degree_sequence_graph, z) + + +def test_random_degree_sequence_large(): + G1 = nx.fast_gnp_random_graph(100, 0.1, seed=42) + d1 = (d for n, d in G1.degree()) + G2 = nx.random_degree_sequence_graph(d1, seed=42) + d2 = (d for n, d in G2.degree()) + assert sorted(d1) == sorted(d2) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_directed.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_directed.py new file mode 100644 index 0000000000000000000000000000000000000000..8078d9f7a8b04465bfc556d8f101e343657a078a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_directed.py @@ -0,0 +1,163 @@ +"""Generators - Directed Graphs +---------------------------- +""" + +import pytest + +import networkx as nx +from networkx.classes import Graph, MultiDiGraph +from networkx.generators.directed import ( + gn_graph, + gnc_graph, + gnr_graph, + random_k_out_graph, + random_uniform_k_out_graph, + scale_free_graph, +) + + +class TestGeneratorsDirected: + def test_smoke_test_random_graphs(self): + gn_graph(100) + gnr_graph(100, 0.5) + gnc_graph(100) + scale_free_graph(100) + + gn_graph(100, seed=42) + gnr_graph(100, 0.5, seed=42) + gnc_graph(100, seed=42) + scale_free_graph(100, seed=42) + + def test_create_using_keyword_arguments(self): + pytest.raises(nx.NetworkXError, gn_graph, 100, create_using=Graph()) + pytest.raises(nx.NetworkXError, gnr_graph, 100, 0.5, create_using=Graph()) + pytest.raises(nx.NetworkXError, gnc_graph, 100, create_using=Graph()) + G = gn_graph(100, seed=1) + MG = gn_graph(100, create_using=MultiDiGraph(), seed=1) + assert sorted(G.edges()) == sorted(MG.edges()) + G = gnr_graph(100, 0.5, seed=1) + MG = gnr_graph(100, 0.5, create_using=MultiDiGraph(), seed=1) + assert sorted(G.edges()) == sorted(MG.edges()) + G = gnc_graph(100, seed=1) + MG = gnc_graph(100, create_using=MultiDiGraph(), seed=1) + assert sorted(G.edges()) == sorted(MG.edges()) + + G = scale_free_graph( + 100, + alpha=0.3, + beta=0.4, + gamma=0.3, + delta_in=0.3, + delta_out=0.1, + initial_graph=nx.cycle_graph(4, create_using=MultiDiGraph), + seed=1, + ) + pytest.raises(ValueError, scale_free_graph, 100, 0.5, 0.4, 0.3) + pytest.raises(ValueError, scale_free_graph, 100, alpha=-0.3) + pytest.raises(ValueError, scale_free_graph, 100, beta=-0.3) + pytest.raises(ValueError, scale_free_graph, 100, gamma=-0.3) + + def test_parameters(self): + G = nx.DiGraph() + G.add_node(0) + + def kernel(x): + return x + + assert nx.is_isomorphic(gn_graph(1), G) + assert nx.is_isomorphic(gn_graph(1, kernel=kernel), G) + assert nx.is_isomorphic(gnc_graph(1), G) + assert nx.is_isomorphic(gnr_graph(1, 0.5), G) + + +def test_scale_free_graph_negative_delta(): + with pytest.raises(ValueError, match="delta_in must be >= 0."): + scale_free_graph(10, delta_in=-1) + with pytest.raises(ValueError, match="delta_out must be >= 0."): + scale_free_graph(10, delta_out=-1) + + +def test_non_numeric_ordering(): + G = MultiDiGraph([("a", "b"), ("b", "c"), ("c", "a")]) + s = scale_free_graph(3, initial_graph=G) + assert len(s) == 3 + assert len(s.edges) == 3 + + +@pytest.mark.parametrize("ig", (nx.Graph(), nx.DiGraph([(0, 1)]))) +def test_scale_free_graph_initial_graph_kwarg(ig): + with pytest.raises(nx.NetworkXError): + scale_free_graph(100, initial_graph=ig) + + +class TestRandomKOutGraph: + """Unit tests for the + :func:`~networkx.generators.directed.random_k_out_graph` function. + + """ + + def test_regularity(self): + """Tests that the generated graph is `k`-out-regular.""" + n = 10 + k = 3 + alpha = 1 + G = random_k_out_graph(n, k, alpha) + assert all(d == k for v, d in G.out_degree()) + G = random_k_out_graph(n, k, alpha, seed=42) + assert all(d == k for v, d in G.out_degree()) + + def test_no_self_loops(self): + """Tests for forbidding self-loops.""" + n = 10 + k = 3 + alpha = 1 + G = random_k_out_graph(n, k, alpha, self_loops=False) + assert nx.number_of_selfloops(G) == 0 + + def test_negative_alpha(self): + with pytest.raises(ValueError, match="alpha must be positive"): + random_k_out_graph(10, 3, -1) + + +class TestUniformRandomKOutGraph: + """Unit tests for the + :func:`~networkx.generators.directed.random_uniform_k_out_graph` + function. + + """ + + def test_regularity(self): + """Tests that the generated graph is `k`-out-regular.""" + n = 10 + k = 3 + G = random_uniform_k_out_graph(n, k) + assert all(d == k for v, d in G.out_degree()) + G = random_uniform_k_out_graph(n, k, seed=42) + assert all(d == k for v, d in G.out_degree()) + + def test_no_self_loops(self): + """Tests for forbidding self-loops.""" + n = 10 + k = 3 + G = random_uniform_k_out_graph(n, k, self_loops=False) + assert nx.number_of_selfloops(G) == 0 + assert all(d == k for v, d in G.out_degree()) + + def test_with_replacement(self): + n = 10 + k = 3 + G = random_uniform_k_out_graph(n, k, with_replacement=True) + assert G.is_multigraph() + assert all(d == k for v, d in G.out_degree()) + n = 10 + k = 9 + G = random_uniform_k_out_graph(n, k, with_replacement=False, self_loops=False) + assert nx.number_of_selfloops(G) == 0 + assert all(d == k for v, d in G.out_degree()) + + def test_without_replacement(self): + n = 10 + k = 3 + G = random_uniform_k_out_graph(n, k, with_replacement=False) + assert not G.is_multigraph() + assert all(d == k for v, d in G.out_degree()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_duplication.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_duplication.py new file mode 100644 index 0000000000000000000000000000000000000000..9b6100b78e59067b607e310f14d80e5a00c2b691 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_duplication.py @@ -0,0 +1,103 @@ +"""Unit tests for the :mod:`networkx.generators.duplication` module.""" + +import pytest + +import networkx as nx + + +class TestDuplicationDivergenceGraph: + """Unit tests for the + :func:`networkx.generators.duplication.duplication_divergence_graph` + function. + + """ + + def test_final_size(self): + G = nx.duplication_divergence_graph(3, p=1) + assert len(G) == 3 + G = nx.duplication_divergence_graph(3, p=1, seed=42) + assert len(G) == 3 + + def test_probability_too_large(self): + with pytest.raises(nx.NetworkXError): + nx.duplication_divergence_graph(3, p=2) + + def test_probability_too_small(self): + with pytest.raises(nx.NetworkXError): + nx.duplication_divergence_graph(3, p=-1) + + def test_non_extreme_probability_value(self): + G = nx.duplication_divergence_graph(6, p=0.3, seed=42) + assert len(G) == 6 + assert list(G.degree()) == [(0, 2), (1, 3), (2, 2), (3, 3), (4, 1), (5, 1)] + + def test_minimum_desired_nodes(self): + with pytest.raises( + nx.NetworkXError, match=".*n must be greater than or equal to 2" + ): + nx.duplication_divergence_graph(1, p=1) + + def test_create_using(self): + class DummyGraph(nx.Graph): + pass + + class DummyDiGraph(nx.DiGraph): + pass + + G = nx.duplication_divergence_graph(6, 0.3, seed=42, create_using=DummyGraph) + assert isinstance(G, DummyGraph) + with pytest.raises(nx.NetworkXError, match="create_using must not be directed"): + nx.duplication_divergence_graph(6, 0.3, seed=42, create_using=DummyDiGraph) + + +class TestPartialDuplicationGraph: + """Unit tests for the + :func:`networkx.generators.duplication.partial_duplication_graph` + function. + + """ + + def test_final_size(self): + N = 10 + n = 5 + p = 0.5 + q = 0.5 + G = nx.partial_duplication_graph(N, n, p, q) + assert len(G) == N + G = nx.partial_duplication_graph(N, n, p, q, seed=42) + assert len(G) == N + + def test_initial_clique_size(self): + N = 10 + n = 10 + p = 0.5 + q = 0.5 + G = nx.partial_duplication_graph(N, n, p, q) + assert len(G) == n + + def test_invalid_initial_size(self): + with pytest.raises(nx.NetworkXError): + N = 5 + n = 10 + p = 0.5 + q = 0.5 + G = nx.partial_duplication_graph(N, n, p, q) + + def test_invalid_probabilities(self): + N = 1 + n = 1 + for p, q in [(0.5, 2), (0.5, -1), (2, 0.5), (-1, 0.5)]: + args = (N, n, p, q) + pytest.raises(nx.NetworkXError, nx.partial_duplication_graph, *args) + + def test_create_using(self): + class DummyGraph(nx.Graph): + pass + + class DummyDiGraph(nx.DiGraph): + pass + + G = nx.partial_duplication_graph(10, 5, 0.5, 0.5, create_using=DummyGraph) + assert isinstance(G, DummyGraph) + with pytest.raises(nx.NetworkXError, match="create_using must not be directed"): + nx.partial_duplication_graph(10, 5, 0.5, 0.5, create_using=DummyDiGraph) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_ego.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_ego.py new file mode 100644 index 0000000000000000000000000000000000000000..f6fc779548a3fd2e049679987f941b2bc211c2d0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_ego.py @@ -0,0 +1,39 @@ +""" +ego graph +--------- +""" + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + + +class TestGeneratorEgo: + def test_ego(self): + G = nx.star_graph(3) + H = nx.ego_graph(G, 0) + assert nx.is_isomorphic(G, H) + G.add_edge(1, 11) + G.add_edge(2, 22) + G.add_edge(3, 33) + H = nx.ego_graph(G, 0) + assert nx.is_isomorphic(nx.star_graph(3), H) + G = nx.path_graph(3) + H = nx.ego_graph(G, 0) + assert edges_equal(H.edges(), [(0, 1)]) + H = nx.ego_graph(G, 0, undirected=True) + assert edges_equal(H.edges(), [(0, 1)]) + H = nx.ego_graph(G, 0, center=False) + assert edges_equal(H.edges(), []) + + def test_ego_distance(self): + G = nx.Graph() + G.add_edge(0, 1, weight=2, distance=1) + G.add_edge(1, 2, weight=2, distance=2) + G.add_edge(2, 3, weight=2, distance=1) + assert nodes_equal(nx.ego_graph(G, 0, radius=3).nodes(), [0, 1, 2, 3]) + eg = nx.ego_graph(G, 0, radius=3, distance="weight") + assert nodes_equal(eg.nodes(), [0, 1]) + eg = nx.ego_graph(G, 0, radius=3, distance="weight", undirected=True) + assert nodes_equal(eg.nodes(), [0, 1]) + eg = nx.ego_graph(G, 0, radius=3, distance="distance") + assert nodes_equal(eg.nodes(), [0, 1, 2]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_expanders.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_expanders.py new file mode 100644 index 0000000000000000000000000000000000000000..7cebc588197fec0d12a958457ef5a0e5b80bf9d4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_expanders.py @@ -0,0 +1,162 @@ +"""Unit tests for the :mod:`networkx.generators.expanders` module.""" + +import pytest + +import networkx as nx + + +@pytest.mark.parametrize("n", (2, 3, 5, 6, 10)) +def test_margulis_gabber_galil_graph_properties(n): + g = nx.margulis_gabber_galil_graph(n) + assert g.number_of_nodes() == n * n + for node in g: + assert g.degree(node) == 8 + assert len(node) == 2 + for i in node: + assert int(i) == i + assert 0 <= i < n + + +@pytest.mark.parametrize("n", (2, 3, 5, 6, 10)) +def test_margulis_gabber_galil_graph_eigvals(n): + np = pytest.importorskip("numpy") + sp = pytest.importorskip("scipy") + + g = nx.margulis_gabber_galil_graph(n) + # Eigenvalues are already sorted using the scipy eigvalsh, + # but the implementation in numpy does not guarantee order. + w = sorted(sp.linalg.eigvalsh(nx.adjacency_matrix(g).toarray())) + assert w[-2] < 5 * np.sqrt(2) + + +@pytest.mark.parametrize("p", (3, 5, 7, 11)) # Primes +def test_chordal_cycle_graph(p): + """Test for the :func:`networkx.chordal_cycle_graph` function.""" + G = nx.chordal_cycle_graph(p) + assert len(G) == p + # TODO The second largest eigenvalue should be smaller than a constant, + # independent of the number of nodes in the graph: + # + # eigs = sorted(sp.linalg.eigvalsh(nx.adjacency_matrix(G).toarray())) + # assert_less(eigs[-2], ...) + # + + +@pytest.mark.parametrize("p", (3, 5, 7, 11, 13)) # Primes +def test_paley_graph(p): + """Test for the :func:`networkx.paley_graph` function.""" + G = nx.paley_graph(p) + # G has p nodes + assert len(G) == p + # G is (p-1)/2-regular + in_degrees = {G.in_degree(node) for node in G.nodes} + out_degrees = {G.out_degree(node) for node in G.nodes} + assert len(in_degrees) == 1 and in_degrees.pop() == (p - 1) // 2 + assert len(out_degrees) == 1 and out_degrees.pop() == (p - 1) // 2 + + # If p = 1 mod 4, -1 is a square mod 4 and therefore the + # edge in the Paley graph are symmetric. + if p % 4 == 1: + for u, v in G.edges: + assert (v, u) in G.edges + + +@pytest.mark.parametrize("d, n", [(2, 7), (4, 10), (4, 16)]) +def test_maybe_regular_expander(d, n): + pytest.importorskip("numpy") + G = nx.maybe_regular_expander(n, d) + + assert len(G) == n, "Should have n nodes" + assert len(G.edges) == n * d / 2, "Should have n*d/2 edges" + assert nx.is_k_regular(G, d), "Should be d-regular" + + +@pytest.mark.parametrize("n", (3, 5, 6, 10)) +def test_is_regular_expander(n): + pytest.importorskip("numpy") + pytest.importorskip("scipy") + G = nx.complete_graph(n) + + assert nx.is_regular_expander(G) == True, "Should be a regular expander" + + +@pytest.mark.parametrize("d, n", [(2, 7), (4, 10), (4, 16)]) +def test_random_regular_expander(d, n): + pytest.importorskip("numpy") + pytest.importorskip("scipy") + G = nx.random_regular_expander_graph(n, d) + + assert len(G) == n, "Should have n nodes" + assert len(G.edges) == n * d / 2, "Should have n*d/2 edges" + assert nx.is_k_regular(G, d), "Should be d-regular" + assert nx.is_regular_expander(G) == True, "Should be a regular expander" + + +def test_random_regular_expander_explicit_construction(): + pytest.importorskip("numpy") + pytest.importorskip("scipy") + G = nx.random_regular_expander_graph(d=4, n=5) + + assert len(G) == 5 and len(G.edges) == 10, "Should be a complete graph" + + +@pytest.mark.parametrize("graph_type", (nx.Graph, nx.DiGraph, nx.MultiDiGraph)) +def test_margulis_gabber_galil_graph_badinput(graph_type): + with pytest.raises( + nx.NetworkXError, match="`create_using` must be an undirected multigraph" + ): + nx.margulis_gabber_galil_graph(3, create_using=graph_type) + + +@pytest.mark.parametrize("graph_type", (nx.Graph, nx.DiGraph, nx.MultiDiGraph)) +def test_chordal_cycle_graph_badinput(graph_type): + with pytest.raises( + nx.NetworkXError, match="`create_using` must be an undirected multigraph" + ): + nx.chordal_cycle_graph(3, create_using=graph_type) + + +def test_paley_graph_badinput(): + with pytest.raises( + nx.NetworkXError, match="`create_using` cannot be a multigraph." + ): + nx.paley_graph(3, create_using=nx.MultiGraph) + + +def test_maybe_regular_expander_badinput(): + pytest.importorskip("numpy") + pytest.importorskip("scipy") + + with pytest.raises(nx.NetworkXError, match="n must be a positive integer"): + nx.maybe_regular_expander(n=-1, d=2) + + with pytest.raises(nx.NetworkXError, match="d must be greater than or equal to 2"): + nx.maybe_regular_expander(n=10, d=0) + + with pytest.raises(nx.NetworkXError, match="Need n-1>= d to have room"): + nx.maybe_regular_expander(n=5, d=6) + + +def test_is_regular_expander_badinput(): + pytest.importorskip("numpy") + pytest.importorskip("scipy") + + with pytest.raises(nx.NetworkXError, match="epsilon must be non negative"): + nx.is_regular_expander(nx.Graph(), epsilon=-1) + + +def test_random_regular_expander_badinput(): + pytest.importorskip("numpy") + pytest.importorskip("scipy") + + with pytest.raises(nx.NetworkXError, match="n must be a positive integer"): + nx.random_regular_expander_graph(n=-1, d=2) + + with pytest.raises(nx.NetworkXError, match="d must be greater than or equal to 2"): + nx.random_regular_expander_graph(n=10, d=0) + + with pytest.raises(nx.NetworkXError, match="Need n-1>= d to have room"): + nx.random_regular_expander_graph(n=5, d=6) + + with pytest.raises(nx.NetworkXError, match="epsilon must be non negative"): + nx.random_regular_expander_graph(n=4, d=2, epsilon=-1) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_geometric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_geometric.py new file mode 100644 index 0000000000000000000000000000000000000000..f1c68bead51b75e7a39484164cc484cbd4e5def8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_geometric.py @@ -0,0 +1,488 @@ +import math +import random +from itertools import combinations + +import pytest + +import networkx as nx + + +def l1dist(x, y): + return sum(abs(a - b) for a, b in zip(x, y)) + + +class TestRandomGeometricGraph: + """Unit tests for :func:`~networkx.random_geometric_graph`""" + + def test_number_of_nodes(self): + G = nx.random_geometric_graph(50, 0.25, seed=42) + assert len(G) == 50 + G = nx.random_geometric_graph(range(50), 0.25, seed=42) + assert len(G) == 50 + + def test_distances(self): + """Tests that pairs of vertices adjacent if and only if they are + within the prescribed radius. + """ + # Use the Euclidean metric, the default according to the + # documentation. + G = nx.random_geometric_graph(50, 0.25) + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + # Nonadjacent vertices must be at greater distance. + else: + assert not math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_p(self): + """Tests for providing an alternate distance metric to the generator.""" + # Use the L1 metric. + G = nx.random_geometric_graph(50, 0.25, p=1) + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert l1dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + # Nonadjacent vertices must be at greater distance. + else: + assert not l1dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_node_names(self): + """Tests using values other than sequential numbers as node IDs.""" + import string + + nodes = list(string.ascii_lowercase) + G = nx.random_geometric_graph(nodes, 0.25) + assert len(G) == len(nodes) + + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + # Nonadjacent vertices must be at greater distance. + else: + assert not math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_pos_name(self): + G = nx.random_geometric_graph(50, 0.25, seed=42, pos_name="coords") + assert all(len(d["coords"]) == 2 for n, d in G.nodes.items()) + + +class TestSoftRandomGeometricGraph: + """Unit tests for :func:`~networkx.soft_random_geometric_graph`""" + + def test_number_of_nodes(self): + G = nx.soft_random_geometric_graph(50, 0.25, seed=42) + assert len(G) == 50 + G = nx.soft_random_geometric_graph(range(50), 0.25, seed=42) + assert len(G) == 50 + + def test_distances(self): + """Tests that pairs of vertices adjacent if and only if they are + within the prescribed radius. + """ + # Use the Euclidean metric, the default according to the + # documentation. + G = nx.soft_random_geometric_graph(50, 0.25) + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_p(self): + """Tests for providing an alternate distance metric to the generator.""" + + # Use the L1 metric. + def dist(x, y): + return sum(abs(a - b) for a, b in zip(x, y)) + + G = nx.soft_random_geometric_graph(50, 0.25, p=1) + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_node_names(self): + """Tests using values other than sequential numbers as node IDs.""" + import string + + nodes = list(string.ascii_lowercase) + G = nx.soft_random_geometric_graph(nodes, 0.25) + assert len(G) == len(nodes) + + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_p_dist_default(self): + """Tests default p_dict = 0.5 returns graph with edge count <= RGG with + same n, radius, dim and positions + """ + nodes = 50 + dim = 2 + pos = {v: [random.random() for i in range(dim)] for v in range(nodes)} + RGG = nx.random_geometric_graph(50, 0.25, pos=pos) + SRGG = nx.soft_random_geometric_graph(50, 0.25, pos=pos) + assert len(SRGG.edges()) <= len(RGG.edges()) + + def test_p_dist_zero(self): + """Tests if p_dict = 0 returns disconnected graph with 0 edges""" + + def p_dist(dist): + return 0 + + G = nx.soft_random_geometric_graph(50, 0.25, p_dist=p_dist) + assert len(G.edges) == 0 + + def test_pos_name(self): + G = nx.soft_random_geometric_graph(50, 0.25, seed=42, pos_name="coords") + assert all(len(d["coords"]) == 2 for n, d in G.nodes.items()) + + +def join(G, u, v, theta, alpha, metric): + """Returns ``True`` if and only if the nodes whose attributes are + ``du`` and ``dv`` should be joined, according to the threshold + condition for geographical threshold graphs. + + ``G`` is an undirected NetworkX graph, and ``u`` and ``v`` are nodes + in that graph. The nodes must have node attributes ``'pos'`` and + ``'weight'``. + + ``metric`` is a distance metric. + """ + du, dv = G.nodes[u], G.nodes[v] + u_pos, v_pos = du["pos"], dv["pos"] + u_weight, v_weight = du["weight"], dv["weight"] + return (u_weight + v_weight) * metric(u_pos, v_pos) ** alpha >= theta + + +class TestGeographicalThresholdGraph: + """Unit tests for :func:`~networkx.geographical_threshold_graph`""" + + def test_number_of_nodes(self): + G = nx.geographical_threshold_graph(50, 100, seed=42) + assert len(G) == 50 + G = nx.geographical_threshold_graph(range(50), 100, seed=42) + assert len(G) == 50 + + def test_distances(self): + """Tests that pairs of vertices adjacent if and only if their + distances meet the given threshold. + """ + # Use the Euclidean metric and alpha = -2 + # the default according to the documentation. + G = nx.geographical_threshold_graph(50, 10) + for u, v in combinations(G, 2): + # Adjacent vertices must exceed the threshold. + if v in G[u]: + assert join(G, u, v, 10, -2, math.dist) + # Nonadjacent vertices must not exceed the threshold. + else: + assert not join(G, u, v, 10, -2, math.dist) + + def test_metric(self): + """Tests for providing an alternate distance metric to the generator.""" + # Use the L1 metric. + G = nx.geographical_threshold_graph(50, 10, metric=l1dist) + for u, v in combinations(G, 2): + # Adjacent vertices must exceed the threshold. + if v in G[u]: + assert join(G, u, v, 10, -2, l1dist) + # Nonadjacent vertices must not exceed the threshold. + else: + assert not join(G, u, v, 10, -2, l1dist) + + def test_p_dist_zero(self): + """Tests if p_dict = 0 returns disconnected graph with 0 edges""" + + def p_dist(dist): + return 0 + + G = nx.geographical_threshold_graph(50, 1, p_dist=p_dist) + assert len(G.edges) == 0 + + def test_pos_weight_name(self): + gtg = nx.geographical_threshold_graph + G = gtg(50, 100, seed=42, pos_name="coords", weight_name="wt") + assert all(len(d["coords"]) == 2 for n, d in G.nodes.items()) + assert all(d["wt"] > 0 for n, d in G.nodes.items()) + + +class TestWaxmanGraph: + """Unit tests for the :func:`~networkx.waxman_graph` function.""" + + def test_number_of_nodes_1(self): + G = nx.waxman_graph(50, 0.5, 0.1, seed=42) + assert len(G) == 50 + G = nx.waxman_graph(range(50), 0.5, 0.1, seed=42) + assert len(G) == 50 + + def test_number_of_nodes_2(self): + G = nx.waxman_graph(50, 0.5, 0.1, L=1) + assert len(G) == 50 + G = nx.waxman_graph(range(50), 0.5, 0.1, L=1) + assert len(G) == 50 + + def test_metric(self): + """Tests for providing an alternate distance metric to the generator.""" + # Use the L1 metric. + G = nx.waxman_graph(50, 0.5, 0.1, metric=l1dist) + assert len(G) == 50 + + def test_pos_name(self): + G = nx.waxman_graph(50, 0.5, 0.1, seed=42, pos_name="coords") + assert all(len(d["coords"]) == 2 for n, d in G.nodes.items()) + + +class TestNavigableSmallWorldGraph: + def test_navigable_small_world(self): + G = nx.navigable_small_world_graph(5, p=1, q=0, seed=42) + gg = nx.grid_2d_graph(5, 5).to_directed() + assert nx.is_isomorphic(G, gg) + + G = nx.navigable_small_world_graph(5, p=1, q=0, dim=3) + gg = nx.grid_graph([5, 5, 5]).to_directed() + assert nx.is_isomorphic(G, gg) + + G = nx.navigable_small_world_graph(5, p=1, q=0, dim=1) + gg = nx.grid_graph([5]).to_directed() + assert nx.is_isomorphic(G, gg) + + def test_invalid_diameter_value(self): + with pytest.raises(nx.NetworkXException, match=".*p must be >= 1"): + nx.navigable_small_world_graph(5, p=0, q=0, dim=1) + + def test_invalid_long_range_connections_value(self): + with pytest.raises(nx.NetworkXException, match=".*q must be >= 0"): + nx.navigable_small_world_graph(5, p=1, q=-1, dim=1) + + def test_invalid_exponent_for_decaying_probability_value(self): + with pytest.raises(nx.NetworkXException, match=".*r must be >= 0"): + nx.navigable_small_world_graph(5, p=1, q=0, r=-1, dim=1) + + def test_r_between_0_and_1(self): + """Smoke test for radius in range [0, 1]""" + # q=0 means no long-range connections + G = nx.navigable_small_world_graph(3, p=1, q=0, r=0.5, dim=2, seed=42) + expected = nx.grid_2d_graph(3, 3, create_using=nx.DiGraph) + assert nx.utils.graphs_equal(G, expected) + + @pytest.mark.parametrize("seed", range(2478, 2578, 10)) + def test_r_general_scaling(self, seed): + """The probability of adding a long-range edge scales with `1 / dist**r`, + so a navigable_small_world graph created with r < 1 should generally + result in more edges than a navigable_small_world graph with r >= 1 + (for 0 < q << n). + + N.B. this is probabilistic, so this test may not hold for all seeds.""" + G1 = nx.navigable_small_world_graph(7, q=3, r=0.5, seed=seed) + G2 = nx.navigable_small_world_graph(7, q=3, r=1, seed=seed) + G3 = nx.navigable_small_world_graph(7, q=3, r=2, seed=seed) + assert G1.number_of_edges() > G2.number_of_edges() + assert G2.number_of_edges() > G3.number_of_edges() + + +class TestThresholdedRandomGeometricGraph: + """Unit tests for :func:`~networkx.thresholded_random_geometric_graph`""" + + def test_number_of_nodes(self): + G = nx.thresholded_random_geometric_graph(50, 0.2, 0.1, seed=42) + assert len(G) == 50 + G = nx.thresholded_random_geometric_graph(range(50), 0.2, 0.1, seed=42) + assert len(G) == 50 + + def test_distances(self): + """Tests that pairs of vertices adjacent if and only if they are + within the prescribed radius. + """ + # Use the Euclidean metric, the default according to the + # documentation. + G = nx.thresholded_random_geometric_graph(50, 0.25, 0.1, seed=42) + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_p(self): + """Tests for providing an alternate distance metric to the generator.""" + + # Use the L1 metric. + def dist(x, y): + return sum(abs(a - b) for a, b in zip(x, y)) + + G = nx.thresholded_random_geometric_graph(50, 0.25, 0.1, p=1, seed=42) + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_node_names(self): + """Tests using values other than sequential numbers as node IDs.""" + import string + + nodes = list(string.ascii_lowercase) + G = nx.thresholded_random_geometric_graph(nodes, 0.25, 0.1, seed=42) + assert len(G) == len(nodes) + + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert math.dist(G.nodes[u]["pos"], G.nodes[v]["pos"]) <= 0.25 + + def test_theta(self): + """Tests that pairs of vertices adjacent if and only if their sum + weights exceeds the threshold parameter theta. + """ + G = nx.thresholded_random_geometric_graph(50, 0.25, 0.1, seed=42) + + for u, v in combinations(G, 2): + # Adjacent vertices must be within the given distance. + if v in G[u]: + assert (G.nodes[u]["weight"] + G.nodes[v]["weight"]) >= 0.1 + + def test_pos_name(self): + trgg = nx.thresholded_random_geometric_graph + G = trgg(50, 0.25, 0.1, seed=42, pos_name="p", weight_name="wt") + assert all(len(d["p"]) == 2 for n, d in G.nodes.items()) + assert all(d["wt"] > 0 for n, d in G.nodes.items()) + + +def test_geometric_edges_pos_attribute(): + G = nx.Graph() + G.add_nodes_from( + [ + (0, {"position": (0, 0)}), + (1, {"position": (0, 1)}), + (2, {"position": (1, 0)}), + ] + ) + expected_edges = [(0, 1), (0, 2)] + assert expected_edges == nx.geometric_edges(G, radius=1, pos_name="position") + + +def test_geometric_edges_raises_no_pos(): + G = nx.path_graph(3) + msg = "all nodes. must have a '" + with pytest.raises(nx.NetworkXError, match=msg): + nx.geometric_edges(G, radius=1) + + +def test_number_of_nodes_S1(): + G = nx.geometric_soft_configuration_graph( + beta=1.5, n=100, gamma=2.7, mean_degree=10, seed=42 + ) + assert len(G) == 100 + + +def test_set_attributes_S1(): + G = nx.geometric_soft_configuration_graph( + beta=1.5, n=100, gamma=2.7, mean_degree=10, seed=42 + ) + kappas = nx.get_node_attributes(G, "kappa") + assert len(kappas) == 100 + thetas = nx.get_node_attributes(G, "theta") + assert len(thetas) == 100 + radii = nx.get_node_attributes(G, "radius") + assert len(radii) == 100 + + +def test_mean_kappas_mean_degree_S1(): + G = nx.geometric_soft_configuration_graph( + beta=2.5, n=50, gamma=2.7, mean_degree=10, seed=8023 + ) + + kappas = nx.get_node_attributes(G, "kappa") + mean_kappas = sum(kappas.values()) / len(kappas) + assert math.fabs(mean_kappas - 10) < 0.5 + + degrees = dict(G.degree()) + mean_degree = sum(degrees.values()) / len(degrees) + assert math.fabs(mean_degree - 10) < 1 + + +def test_dict_kappas_S1(): + kappas = {i: 10 for i in range(1000)} + G = nx.geometric_soft_configuration_graph(beta=1, kappas=kappas) + assert len(G) == 1000 + kappas = nx.get_node_attributes(G, "kappa") + assert all(kappa == 10 for kappa in kappas.values()) + + +def test_beta_clustering_S1(): + G1 = nx.geometric_soft_configuration_graph( + beta=1.5, n=100, gamma=3.5, mean_degree=10, seed=42 + ) + G2 = nx.geometric_soft_configuration_graph( + beta=3.0, n=100, gamma=3.5, mean_degree=10, seed=42 + ) + assert nx.average_clustering(G1) < nx.average_clustering(G2) + + +def test_wrong_parameters_S1(): + with pytest.raises( + nx.NetworkXError, + match="Please provide either kappas, or all 3 of: n, gamma and mean_degree.", + ): + G = nx.geometric_soft_configuration_graph( + beta=1.5, gamma=3.5, mean_degree=10, seed=42 + ) + + with pytest.raises( + nx.NetworkXError, + match="When kappas is input, n, gamma and mean_degree must not be.", + ): + kappas = {i: 10 for i in range(1000)} + G = nx.geometric_soft_configuration_graph( + beta=1.5, kappas=kappas, gamma=2.3, seed=42 + ) + + with pytest.raises( + nx.NetworkXError, + match="Please provide either kappas, or all 3 of: n, gamma and mean_degree.", + ): + G = nx.geometric_soft_configuration_graph(beta=1.5, seed=42) + + +def test_negative_beta_S1(): + with pytest.raises( + nx.NetworkXError, match="The parameter beta cannot be smaller or equal to 0." + ): + G = nx.geometric_soft_configuration_graph( + beta=-1, n=100, gamma=2.3, mean_degree=10, seed=42 + ) + + +def test_non_zero_clustering_beta_lower_one_S1(): + G = nx.geometric_soft_configuration_graph( + beta=0.5, n=100, gamma=3.5, mean_degree=10, seed=42 + ) + assert nx.average_clustering(G) > 0 + + +def test_mean_degree_influence_on_connectivity_S1(): + low_mean_degree = 2 + high_mean_degree = 20 + G_low = nx.geometric_soft_configuration_graph( + beta=1.2, n=100, gamma=2.7, mean_degree=low_mean_degree, seed=42 + ) + G_high = nx.geometric_soft_configuration_graph( + beta=1.2, n=100, gamma=2.7, mean_degree=high_mean_degree, seed=42 + ) + assert nx.number_connected_components(G_low) > nx.number_connected_components( + G_high + ) + + +def test_compare_mean_kappas_different_gammas_S1(): + G1 = nx.geometric_soft_configuration_graph( + beta=1.5, n=20, gamma=2.7, mean_degree=5, seed=42 + ) + G2 = nx.geometric_soft_configuration_graph( + beta=1.5, n=20, gamma=3.5, mean_degree=5, seed=42 + ) + kappas1 = nx.get_node_attributes(G1, "kappa") + mean_kappas1 = sum(kappas1.values()) / len(kappas1) + kappas2 = nx.get_node_attributes(G2, "kappa") + mean_kappas2 = sum(kappas2.values()) / len(kappas2) + assert math.fabs(mean_kappas1 - mean_kappas2) < 1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_harary_graph.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_harary_graph.py new file mode 100644 index 0000000000000000000000000000000000000000..8a0142df2a4340bc81d7dc25f05ea5d57e8f2d16 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_harary_graph.py @@ -0,0 +1,133 @@ +"""Unit tests for the :mod:`networkx.generators.harary_graph` module.""" + +import pytest + +import networkx as nx +from networkx.algorithms.isomorphism.isomorph import is_isomorphic +from networkx.generators.harary_graph import hkn_harary_graph, hnm_harary_graph + + +class TestHararyGraph: + """ + Suppose n nodes, m >= n-1 edges, d = 2m // n, r = 2m % n + """ + + def test_hnm_harary_graph(self): + # When d is even and r = 0, the hnm_harary_graph(n,m) is + # the circulant_graph(n, list(range(1,d/2+1))) + for n, m in [(5, 5), (6, 12), (7, 14)]: + G1 = hnm_harary_graph(n, m) + d = 2 * m // n + G2 = nx.circulant_graph(n, list(range(1, d // 2 + 1))) + assert is_isomorphic(G1, G2) + + # When d is even and r > 0, the hnm_harary_graph(n,m) is + # the circulant_graph(n, list(range(1,d/2+1))) + # with r edges added arbitrarily + for n, m in [(5, 7), (6, 13), (7, 16)]: + G1 = hnm_harary_graph(n, m) + d = 2 * m // n + G2 = nx.circulant_graph(n, list(range(1, d // 2 + 1))) + assert set(G2.edges) < set(G1.edges) + assert G1.number_of_edges() == m + + # When d is odd and n is even and r = 0, the hnm_harary_graph(n,m) + # is the circulant_graph(n, list(range(1,(d+1)/2) plus [n//2]) + for n, m in [(6, 9), (8, 12), (10, 15)]: + G1 = hnm_harary_graph(n, m) + d = 2 * m // n + L = list(range(1, (d + 1) // 2)) + L.append(n // 2) + G2 = nx.circulant_graph(n, L) + assert is_isomorphic(G1, G2) + + # When d is odd and n is even and r > 0, the hnm_harary_graph(n,m) + # is the circulant_graph(n, list(range(1,(d+1)/2) plus [n//2]) + # with r edges added arbitrarily + for n, m in [(6, 10), (8, 13), (10, 17)]: + G1 = hnm_harary_graph(n, m) + d = 2 * m // n + L = list(range(1, (d + 1) // 2)) + L.append(n // 2) + G2 = nx.circulant_graph(n, L) + assert set(G2.edges) < set(G1.edges) + assert G1.number_of_edges() == m + + # When d is odd and n is odd, the hnm_harary_graph(n,m) is + # the circulant_graph(n, list(range(1,(d+1)/2)) + # with m - n*(d-1)/2 edges added arbitrarily + for n, m in [(5, 4), (7, 12), (9, 14)]: + G1 = hnm_harary_graph(n, m) + d = 2 * m // n + L = list(range(1, (d + 1) // 2)) + G2 = nx.circulant_graph(n, L) + assert set(G2.edges) < set(G1.edges) + assert G1.number_of_edges() == m + + # Raise NetworkXError if n<1 + n = 0 + m = 0 + pytest.raises(nx.NetworkXError, hnm_harary_graph, n, m) + + # Raise NetworkXError if m < n-1 + n = 6 + m = 4 + pytest.raises(nx.NetworkXError, hnm_harary_graph, n, m) + + # Raise NetworkXError if m > n(n-1)/2 + n = 6 + m = 16 + pytest.raises(nx.NetworkXError, hnm_harary_graph, n, m) + + """ + Suppose connectivity k, number of nodes n + """ + + def test_hkn_harary_graph(self): + # When k == 1, the hkn_harary_graph(k,n) is + # the path_graph(n) + for k, n in [(1, 6), (1, 7)]: + G1 = hkn_harary_graph(k, n) + G2 = nx.path_graph(n) + assert is_isomorphic(G1, G2) + + # When k is even, the hkn_harary_graph(k,n) is + # the circulant_graph(n, list(range(1,k/2+1))) + for k, n in [(2, 6), (2, 7), (4, 6), (4, 7)]: + G1 = hkn_harary_graph(k, n) + G2 = nx.circulant_graph(n, list(range(1, k // 2 + 1))) + assert is_isomorphic(G1, G2) + + # When k is odd and n is even, the hkn_harary_graph(k,n) is + # the circulant_graph(n, list(range(1,(k+1)/2)) plus [n/2]) + for k, n in [(3, 6), (5, 8), (7, 10)]: + G1 = hkn_harary_graph(k, n) + L = list(range(1, (k + 1) // 2)) + L.append(n // 2) + G2 = nx.circulant_graph(n, L) + assert is_isomorphic(G1, G2) + + # When k is odd and n is odd, the hkn_harary_graph(k,n) is + # the circulant_graph(n, list(range(1,(k+1)/2))) with + # n//2+1 edges added between node i and node i+n//2+1 + for k, n in [(3, 5), (5, 9), (7, 11)]: + G1 = hkn_harary_graph(k, n) + G2 = nx.circulant_graph(n, list(range(1, (k + 1) // 2))) + eSet1 = set(G1.edges) + eSet2 = set(G2.edges) + eSet3 = set() + half = n // 2 + for i in range(half + 1): + # add half+1 edges between i and i+half + eSet3.add((i, (i + half) % n)) + assert eSet1 == eSet2 | eSet3 + + # Raise NetworkXError if k<1 + k = 0 + n = 0 + pytest.raises(nx.NetworkXError, hkn_harary_graph, k, n) + + # Raise NetworkXError if ndegree_count[1]*degree_count[4] + joint_degrees_3 = { + 1: {4: 2}, + 2: {2: 2, 3: 2, 4: 2}, + 3: {2: 2, 4: 1}, + 4: {1: 2, 2: 2, 3: 1}, + } + assert not is_valid_joint_degree(joint_degrees_3) + + # test condition 5 + # joint_degrees_5[1][1] not even + joint_degrees_5 = {1: {1: 9}} + assert not is_valid_joint_degree(joint_degrees_5) + + +def test_joint_degree_graph(ntimes=10): + for _ in range(ntimes): + seed = int(time.time()) + + n, m, p = 20, 10, 1 + # generate random graph with model powerlaw_cluster and calculate + # its joint degree + g = powerlaw_cluster_graph(n, m, p, seed=seed) + joint_degrees_g = degree_mixing_dict(g, normalized=False) + + # generate simple undirected graph with given joint degree + # joint_degrees_g + G = joint_degree_graph(joint_degrees_g) + joint_degrees_G = degree_mixing_dict(G, normalized=False) + + # assert that the given joint degree is equal to the generated + # graph's joint degree + assert joint_degrees_g == joint_degrees_G + + +def test_is_valid_directed_joint_degree(): + in_degrees = [0, 1, 1, 2] + out_degrees = [1, 1, 1, 1] + nkk = {1: {1: 2, 2: 2}} + assert is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) + + # not realizable, values are not integers. + nkk = {1: {1: 1.5, 2: 2.5}} + assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) + + # not realizable, number of edges between 1-2 are insufficient. + nkk = {1: {1: 2, 2: 1}} + assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) + + # not realizable, in/out degree sequences have different number of nodes. + out_degrees = [1, 1, 1] + nkk = {1: {1: 2, 2: 2}} + assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) + + # not realizable, degree sequences have fewer than required nodes. + in_degrees = [0, 1, 2] + assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) + + +def test_directed_joint_degree_graph(n=15, m=100, ntimes=1000): + for _ in range(ntimes): + # generate gnm random graph and calculate its joint degree. + g = gnm_random_graph(n, m, None, directed=True) + + # in-degree sequence of g as a list of integers. + in_degrees = list(dict(g.in_degree()).values()) + # out-degree sequence of g as a list of integers. + out_degrees = list(dict(g.out_degree()).values()) + nkk = degree_mixing_dict(g) + + # generate simple directed graph with given degree sequence and joint + # degree matrix. + G = directed_joint_degree_graph(in_degrees, out_degrees, nkk) + + # assert degree sequence correctness. + assert in_degrees == list(dict(G.in_degree()).values()) + assert out_degrees == list(dict(G.out_degree()).values()) + # assert joint degree matrix correctness. + assert nkk == degree_mixing_dict(G) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_lattice.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_lattice.py new file mode 100644 index 0000000000000000000000000000000000000000..5012324a535297bb1a6997dc1f60b332c2aa0752 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_lattice.py @@ -0,0 +1,246 @@ +"""Unit tests for the :mod:`networkx.generators.lattice` module.""" + +from itertools import product + +import pytest + +import networkx as nx +from networkx.utils import edges_equal + + +class TestGrid2DGraph: + """Unit tests for :func:`networkx.generators.lattice.grid_2d_graph`""" + + def test_number_of_vertices(self): + m, n = 5, 6 + G = nx.grid_2d_graph(m, n) + assert len(G) == m * n + + def test_degree_distribution(self): + m, n = 5, 6 + G = nx.grid_2d_graph(m, n) + expected_histogram = [0, 0, 4, 2 * (m + n) - 8, (m - 2) * (n - 2)] + assert nx.degree_histogram(G) == expected_histogram + + def test_directed(self): + m, n = 5, 6 + G = nx.grid_2d_graph(m, n) + H = nx.grid_2d_graph(m, n, create_using=nx.DiGraph()) + assert H.succ == G.adj + assert H.pred == G.adj + + def test_multigraph(self): + m, n = 5, 6 + G = nx.grid_2d_graph(m, n) + H = nx.grid_2d_graph(m, n, create_using=nx.MultiGraph()) + assert list(H.edges()) == list(G.edges()) + + def test_periodic(self): + G = nx.grid_2d_graph(0, 0, periodic=True) + assert dict(G.degree()) == {} + + for m, n, H in [ + (2, 2, nx.cycle_graph(4)), + (1, 7, nx.cycle_graph(7)), + (7, 1, nx.cycle_graph(7)), + (2, 5, nx.circular_ladder_graph(5)), + (5, 2, nx.circular_ladder_graph(5)), + (2, 4, nx.cubical_graph()), + (4, 2, nx.cubical_graph()), + ]: + G = nx.grid_2d_graph(m, n, periodic=True) + assert nx.could_be_isomorphic(G, H) + + def test_periodic_iterable(self): + m, n = 3, 7 + for a, b in product([0, 1], [0, 1]): + G = nx.grid_2d_graph(m, n, periodic=(a, b)) + assert G.number_of_nodes() == m * n + assert G.number_of_edges() == (m + a - 1) * n + (n + b - 1) * m + + def test_periodic_directed(self): + G = nx.grid_2d_graph(4, 2, periodic=True) + H = nx.grid_2d_graph(4, 2, periodic=True, create_using=nx.DiGraph()) + assert H.succ == G.adj + assert H.pred == G.adj + + def test_periodic_multigraph(self): + G = nx.grid_2d_graph(4, 2, periodic=True) + H = nx.grid_2d_graph(4, 2, periodic=True, create_using=nx.MultiGraph()) + assert list(G.edges()) == list(H.edges()) + + def test_exceptions(self): + pytest.raises(nx.NetworkXError, nx.grid_2d_graph, -3, 2) + pytest.raises(nx.NetworkXError, nx.grid_2d_graph, 3, -2) + pytest.raises(TypeError, nx.grid_2d_graph, 3.3, 2) + pytest.raises(TypeError, nx.grid_2d_graph, 3, 2.2) + + def test_node_input(self): + G = nx.grid_2d_graph(4, 2, periodic=True) + H = nx.grid_2d_graph(range(4), range(2), periodic=True) + assert nx.is_isomorphic(H, G) + H = nx.grid_2d_graph("abcd", "ef", periodic=True) + assert nx.is_isomorphic(H, G) + G = nx.grid_2d_graph(5, 6) + H = nx.grid_2d_graph(range(5), range(6)) + assert edges_equal(H, G) + + +class TestGridGraph: + """Unit tests for :func:`networkx.generators.lattice.grid_graph`""" + + def test_grid_graph(self): + """grid_graph([n,m]) is a connected simple graph with the + following properties: + number_of_nodes = n*m + degree_histogram = [0,0,4,2*(n+m)-8,(n-2)*(m-2)] + """ + for n, m in [(3, 5), (5, 3), (4, 5), (5, 4)]: + dim = [n, m] + g = nx.grid_graph(dim) + assert len(g) == n * m + assert nx.degree_histogram(g) == [ + 0, + 0, + 4, + 2 * (n + m) - 8, + (n - 2) * (m - 2), + ] + + for n, m in [(1, 5), (5, 1)]: + dim = [n, m] + g = nx.grid_graph(dim) + assert len(g) == n * m + assert nx.is_isomorphic(g, nx.path_graph(5)) + + # mg = nx.grid_graph([n,m], create_using=MultiGraph()) + # assert_equal(mg.edges(), g.edges()) + + def test_node_input(self): + G = nx.grid_graph([range(7, 9), range(3, 6)]) + assert len(G) == 2 * 3 + assert nx.is_isomorphic(G, nx.grid_graph([2, 3])) + + def test_periodic_iterable(self): + m, n, k = 3, 7, 5 + for a, b, c in product([0, 1], [0, 1], [0, 1]): + G = nx.grid_graph([m, n, k], periodic=(a, b, c)) + num_e = (m + a - 1) * n * k + (n + b - 1) * m * k + (k + c - 1) * m * n + assert G.number_of_nodes() == m * n * k + assert G.number_of_edges() == num_e + + +class TestHypercubeGraph: + """Unit tests for :func:`networkx.generators.lattice.hypercube_graph`""" + + def test_special_cases(self): + for n, H in [ + (0, nx.null_graph()), + (1, nx.path_graph(2)), + (2, nx.cycle_graph(4)), + (3, nx.cubical_graph()), + ]: + G = nx.hypercube_graph(n) + assert nx.could_be_isomorphic(G, H) + + def test_degree_distribution(self): + for n in range(1, 10): + G = nx.hypercube_graph(n) + expected_histogram = [0] * n + [2**n] + assert nx.degree_histogram(G) == expected_histogram + + +class TestTriangularLatticeGraph: + "Tests for :func:`networkx.generators.lattice.triangular_lattice_graph`" + + def test_lattice_points(self): + """Tests that the graph is really a triangular lattice.""" + for m, n in [(2, 3), (2, 2), (2, 1), (3, 3), (3, 2), (3, 4)]: + G = nx.triangular_lattice_graph(m, n) + N = (n + 1) // 2 + assert len(G) == (m + 1) * (1 + N) - (n % 2) * ((m + 1) // 2) + for i, j in G.nodes(): + nbrs = G[(i, j)] + if i < N: + assert (i + 1, j) in nbrs + if j < m: + assert (i, j + 1) in nbrs + if j < m and (i > 0 or j % 2) and (i < N or (j + 1) % 2): + assert (i + 1, j + 1) in nbrs or (i - 1, j + 1) in nbrs + + def test_directed(self): + """Tests for creating a directed triangular lattice.""" + G = nx.triangular_lattice_graph(3, 4, create_using=nx.Graph()) + H = nx.triangular_lattice_graph(3, 4, create_using=nx.DiGraph()) + assert H.is_directed() + for u, v in H.edges(): + assert v[1] >= u[1] + if v[1] == u[1]: + assert v[0] > u[0] + + def test_multigraph(self): + """Tests for creating a triangular lattice multigraph.""" + G = nx.triangular_lattice_graph(3, 4, create_using=nx.Graph()) + H = nx.triangular_lattice_graph(3, 4, create_using=nx.MultiGraph()) + assert list(H.edges()) == list(G.edges()) + + def test_periodic(self): + G = nx.triangular_lattice_graph(4, 6, periodic=True) + assert len(G) == 12 + assert G.size() == 36 + # all degrees are 6 + assert len([n for n, d in G.degree() if d != 6]) == 0 + G = nx.triangular_lattice_graph(5, 7, periodic=True) + TLG = nx.triangular_lattice_graph + pytest.raises(nx.NetworkXError, TLG, 2, 4, periodic=True) + pytest.raises(nx.NetworkXError, TLG, 4, 4, periodic=True) + pytest.raises(nx.NetworkXError, TLG, 2, 6, periodic=True) + + +class TestHexagonalLatticeGraph: + "Tests for :func:`networkx.generators.lattice.hexagonal_lattice_graph`" + + def test_lattice_points(self): + """Tests that the graph is really a hexagonal lattice.""" + for m, n in [(4, 5), (4, 4), (4, 3), (3, 2), (3, 3), (3, 5)]: + G = nx.hexagonal_lattice_graph(m, n) + assert len(G) == 2 * (m + 1) * (n + 1) - 2 + C_6 = nx.cycle_graph(6) + hexagons = [ + [(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2)], + [(0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4)], + [(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)], + [(2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2)], + [(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)], + ] + for hexagon in hexagons: + assert nx.is_isomorphic(G.subgraph(hexagon), C_6) + + def test_directed(self): + """Tests for creating a directed hexagonal lattice.""" + G = nx.hexagonal_lattice_graph(3, 5, create_using=nx.Graph()) + H = nx.hexagonal_lattice_graph(3, 5, create_using=nx.DiGraph()) + assert H.is_directed() + pos = nx.get_node_attributes(H, "pos") + for u, v in H.edges(): + assert pos[v][1] >= pos[u][1] + if pos[v][1] == pos[u][1]: + assert pos[v][0] > pos[u][0] + + def test_multigraph(self): + """Tests for creating a hexagonal lattice multigraph.""" + G = nx.hexagonal_lattice_graph(3, 5, create_using=nx.Graph()) + H = nx.hexagonal_lattice_graph(3, 5, create_using=nx.MultiGraph()) + assert list(H.edges()) == list(G.edges()) + + def test_periodic(self): + G = nx.hexagonal_lattice_graph(4, 6, periodic=True) + assert len(G) == 48 + assert G.size() == 72 + # all degrees are 3 + assert len([n for n, d in G.degree() if d != 3]) == 0 + G = nx.hexagonal_lattice_graph(5, 8, periodic=True) + HLG = nx.hexagonal_lattice_graph + pytest.raises(nx.NetworkXError, HLG, 2, 7, periodic=True) + pytest.raises(nx.NetworkXError, HLG, 1, 4, periodic=True) + pytest.raises(nx.NetworkXError, HLG, 2, 1, periodic=True) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_line.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_line.py new file mode 100644 index 0000000000000000000000000000000000000000..7f5454ebee019fb27b61f72f1fdd81b6c927ba17 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_line.py @@ -0,0 +1,309 @@ +import pytest + +import networkx as nx +from networkx.generators import line +from networkx.utils import edges_equal + + +class TestGeneratorLine: + def test_star(self): + G = nx.star_graph(5) + L = nx.line_graph(G) + assert nx.is_isomorphic(L, nx.complete_graph(5)) + + def test_path(self): + G = nx.path_graph(5) + L = nx.line_graph(G) + assert nx.is_isomorphic(L, nx.path_graph(4)) + + def test_cycle(self): + G = nx.cycle_graph(5) + L = nx.line_graph(G) + assert nx.is_isomorphic(L, G) + + def test_digraph1(self): + G = nx.DiGraph([(0, 1), (0, 2), (0, 3)]) + L = nx.line_graph(G) + # no edge graph, but with nodes + assert L.adj == {(0, 1): {}, (0, 2): {}, (0, 3): {}} + + def test_multigraph1(self): + G = nx.MultiGraph([(0, 1), (0, 1), (1, 0), (0, 2), (2, 0), (0, 3)]) + L = nx.line_graph(G) + # no edge graph, but with nodes + assert edges_equal( + L.edges(), + [ + ((0, 3, 0), (0, 1, 0)), + ((0, 3, 0), (0, 2, 0)), + ((0, 3, 0), (0, 2, 1)), + ((0, 3, 0), (0, 1, 1)), + ((0, 3, 0), (0, 1, 2)), + ((0, 1, 0), (0, 1, 1)), + ((0, 1, 0), (0, 2, 0)), + ((0, 1, 0), (0, 1, 2)), + ((0, 1, 0), (0, 2, 1)), + ((0, 1, 1), (0, 1, 2)), + ((0, 1, 1), (0, 2, 0)), + ((0, 1, 1), (0, 2, 1)), + ((0, 1, 2), (0, 2, 0)), + ((0, 1, 2), (0, 2, 1)), + ((0, 2, 0), (0, 2, 1)), + ], + ) + + def test_multigraph2(self): + G = nx.MultiGraph([(1, 2), (2, 1)]) + L = nx.line_graph(G) + assert edges_equal(L.edges(), [((1, 2, 0), (1, 2, 1))]) + + def test_multidigraph1(self): + G = nx.MultiDiGraph([(1, 2), (2, 1)]) + L = nx.line_graph(G) + assert edges_equal(L.edges(), [((1, 2, 0), (2, 1, 0)), ((2, 1, 0), (1, 2, 0))]) + + def test_multidigraph2(self): + G = nx.MultiDiGraph([(0, 1), (0, 1), (0, 1), (1, 2)]) + L = nx.line_graph(G) + assert edges_equal( + L.edges(), + [((0, 1, 0), (1, 2, 0)), ((0, 1, 1), (1, 2, 0)), ((0, 1, 2), (1, 2, 0))], + ) + + def test_digraph2(self): + G = nx.DiGraph([(0, 1), (1, 2), (2, 3)]) + L = nx.line_graph(G) + assert edges_equal(L.edges(), [((0, 1), (1, 2)), ((1, 2), (2, 3))]) + + def test_create1(self): + G = nx.DiGraph([(0, 1), (1, 2), (2, 3)]) + L = nx.line_graph(G, create_using=nx.Graph()) + assert edges_equal(L.edges(), [((0, 1), (1, 2)), ((1, 2), (2, 3))]) + + def test_create2(self): + G = nx.Graph([(0, 1), (1, 2), (2, 3)]) + L = nx.line_graph(G, create_using=nx.DiGraph()) + assert edges_equal(L.edges(), [((0, 1), (1, 2)), ((1, 2), (2, 3))]) + + +class TestGeneratorInverseLine: + def test_example(self): + G = nx.Graph() + G_edges = [ + [1, 2], + [1, 3], + [1, 4], + [1, 5], + [2, 3], + [2, 5], + [2, 6], + [2, 7], + [3, 4], + [3, 5], + [6, 7], + [6, 8], + [7, 8], + ] + G.add_edges_from(G_edges) + H = nx.inverse_line_graph(G) + solution = nx.Graph() + solution_edges = [ + ("a", "b"), + ("a", "c"), + ("a", "d"), + ("a", "e"), + ("c", "d"), + ("e", "f"), + ("e", "g"), + ("f", "g"), + ] + solution.add_edges_from(solution_edges) + assert nx.is_isomorphic(H, solution) + + def test_example_2(self): + G = nx.Graph() + G_edges = [[1, 2], [1, 3], [2, 3], [3, 4], [3, 5], [4, 5]] + G.add_edges_from(G_edges) + H = nx.inverse_line_graph(G) + solution = nx.Graph() + solution_edges = [("a", "c"), ("b", "c"), ("c", "d"), ("d", "e"), ("d", "f")] + solution.add_edges_from(solution_edges) + assert nx.is_isomorphic(H, solution) + + def test_pair(self): + G = nx.path_graph(2) + H = nx.inverse_line_graph(G) + solution = nx.path_graph(3) + assert nx.is_isomorphic(H, solution) + + def test_line(self): + G = nx.path_graph(5) + solution = nx.path_graph(6) + H = nx.inverse_line_graph(G) + assert nx.is_isomorphic(H, solution) + + def test_triangle_graph(self): + G = nx.complete_graph(3) + H = nx.inverse_line_graph(G) + alternative_solution = nx.Graph() + alternative_solution.add_edges_from([[0, 1], [0, 2], [0, 3]]) + # there are two alternative inverse line graphs for this case + # so long as we get one of them the test should pass + assert nx.is_isomorphic(H, G) or nx.is_isomorphic(H, alternative_solution) + + def test_cycle(self): + G = nx.cycle_graph(5) + H = nx.inverse_line_graph(G) + assert nx.is_isomorphic(H, G) + + def test_empty(self): + G = nx.Graph() + H = nx.inverse_line_graph(G) + assert nx.is_isomorphic(H, nx.complete_graph(1)) + + def test_K1(self): + G = nx.complete_graph(1) + H = nx.inverse_line_graph(G) + solution = nx.path_graph(2) + assert nx.is_isomorphic(H, solution) + + def test_edgeless_graph(self): + G = nx.empty_graph(5) + with pytest.raises(nx.NetworkXError, match="edgeless graph"): + nx.inverse_line_graph(G) + + def test_selfloops_error(self): + G = nx.cycle_graph(4) + G.add_edge(0, 0) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + + def test_non_line_graphs(self): + # Tests several known non-line graphs for impossibility + # Adapted from L.W.Beineke, "Characterizations of derived graphs" + + # claw graph + claw = nx.star_graph(3) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, claw) + + # wheel graph with 6 nodes + wheel = nx.wheel_graph(6) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, wheel) + + # K5 with one edge remove + K5m = nx.complete_graph(5) + K5m.remove_edge(0, 1) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, K5m) + + # graph without any odd triangles (contains claw as induced subgraph) + G = nx.compose(nx.path_graph(2), nx.complete_bipartite_graph(2, 3)) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + + ## Variations on a diamond graph + + # Diamond + 2 edges (+ "roof") + G = nx.diamond_graph() + G.add_edges_from([(4, 0), (5, 3)]) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + G.add_edge(4, 5) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + + # Diamond + 2 connected edges + G = nx.diamond_graph() + G.add_edges_from([(4, 0), (4, 3)]) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + + # Diamond + K3 + one edge (+ 2*K3) + G = nx.diamond_graph() + G.add_edges_from([(4, 0), (4, 1), (4, 2), (5, 3)]) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + G.add_edges_from([(5, 1), (5, 2)]) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + + # 4 triangles + G = nx.diamond_graph() + G.add_edges_from([(4, 0), (4, 1), (5, 2), (5, 3)]) + pytest.raises(nx.NetworkXError, nx.inverse_line_graph, G) + + def test_wrong_graph_type(self): + G = nx.DiGraph() + G_edges = [[0, 1], [0, 2], [0, 3]] + G.add_edges_from(G_edges) + pytest.raises(nx.NetworkXNotImplemented, nx.inverse_line_graph, G) + + G = nx.MultiGraph() + G_edges = [[0, 1], [0, 2], [0, 3]] + G.add_edges_from(G_edges) + pytest.raises(nx.NetworkXNotImplemented, nx.inverse_line_graph, G) + + def test_line_inverse_line_complete(self): + G = nx.complete_graph(10) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + def test_line_inverse_line_path(self): + G = nx.path_graph(10) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + def test_line_inverse_line_hypercube(self): + G = nx.hypercube_graph(5) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + def test_line_inverse_line_cycle(self): + G = nx.cycle_graph(10) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + def test_line_inverse_line_star(self): + G = nx.star_graph(20) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + def test_line_inverse_line_multipartite(self): + G = nx.complete_multipartite_graph(3, 4, 5) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + def test_line_inverse_line_dgm(self): + G = nx.dorogovtsev_goltsev_mendes_graph(4) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + def test_line_different_node_types(self): + G = nx.path_graph([1, 2, 3, "a", "b", "c"]) + H = nx.line_graph(G) + J = nx.inverse_line_graph(H) + assert nx.is_isomorphic(G, J) + + +class TestGeneratorPrivateFunctions: + def test_triangles_error(self): + G = nx.diamond_graph() + pytest.raises(nx.NetworkXError, line._triangles, G, (4, 0)) + pytest.raises(nx.NetworkXError, line._triangles, G, (0, 3)) + + def test_odd_triangles_error(self): + G = nx.diamond_graph() + pytest.raises(nx.NetworkXError, line._odd_triangle, G, (0, 1, 4)) + pytest.raises(nx.NetworkXError, line._odd_triangle, G, (0, 1, 3)) + + def test_select_starting_cell_error(self): + G = nx.diamond_graph() + pytest.raises(nx.NetworkXError, line._select_starting_cell, G, (4, 0)) + pytest.raises(nx.NetworkXError, line._select_starting_cell, G, (0, 3)) + + def test_diamond_graph(self): + G = nx.diamond_graph() + for edge in G.edges: + cell = line._select_starting_cell(G, starting_edge=edge) + # Starting cell should always be one of the two triangles + assert len(cell) == 3 + assert all(v in G[u] for u in cell for v in cell if u != v) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_mycielski.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_mycielski.py new file mode 100644 index 0000000000000000000000000000000000000000..eb12b1412ad4559bb500a7125c8d65e6239c5fed --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_mycielski.py @@ -0,0 +1,30 @@ +"""Unit tests for the :mod:`networkx.generators.mycielski` module.""" + +import pytest + +import networkx as nx + + +class TestMycielski: + def test_construction(self): + G = nx.path_graph(2) + M = nx.mycielskian(G) + assert nx.is_isomorphic(M, nx.cycle_graph(5)) + + def test_size(self): + G = nx.path_graph(2) + M = nx.mycielskian(G, 2) + assert len(M) == 11 + assert M.size() == 20 + + def test_mycielski_graph_generator(self): + G = nx.mycielski_graph(1) + assert nx.is_isomorphic(G, nx.empty_graph(1)) + G = nx.mycielski_graph(2) + assert nx.is_isomorphic(G, nx.path_graph(2)) + G = nx.mycielski_graph(3) + assert nx.is_isomorphic(G, nx.cycle_graph(5)) + G = nx.mycielski_graph(4) + assert nx.is_isomorphic(G, nx.mycielskian(nx.cycle_graph(5))) + with pytest.raises(nx.NetworkXError, match="must satisfy n >= 1"): + nx.mycielski_graph(0) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_nonisomorphic_trees.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_nonisomorphic_trees.py new file mode 100644 index 0000000000000000000000000000000000000000..c73d44aeb2e8c0eb2f2173ae56adeccb97c10595 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_nonisomorphic_trees.py @@ -0,0 +1,68 @@ +""" +Unit tests for WROM algorithm generator in generators/nonisomorphic_trees.py +""" + +import pytest + +import networkx as nx +from networkx.utils import edges_equal + + +class TestGeneratorNonIsomorphicTrees: + def test_tree_structure(self): + # test for tree structure for nx.nonisomorphic_trees() + def f(x): + return list(nx.nonisomorphic_trees(x)) + + for i in f(6): + assert nx.is_tree(i) + for i in f(8): + assert nx.is_tree(i) + + def test_nonisomorphism(self): + # test for nonisomorphism of trees for nx.nonisomorphic_trees() + def f(x): + return list(nx.nonisomorphic_trees(x)) + + trees = f(6) + for i in range(len(trees)): + for j in range(i + 1, len(trees)): + assert not nx.is_isomorphic(trees[i], trees[j]) + trees = f(8) + for i in range(len(trees)): + for j in range(i + 1, len(trees)): + assert not nx.is_isomorphic(trees[i], trees[j]) + + def test_number_of_nonisomorphic_trees(self): + # http://oeis.org/A000055 + assert nx.number_of_nonisomorphic_trees(2) == 1 + assert nx.number_of_nonisomorphic_trees(3) == 1 + assert nx.number_of_nonisomorphic_trees(4) == 2 + assert nx.number_of_nonisomorphic_trees(5) == 3 + assert nx.number_of_nonisomorphic_trees(6) == 6 + assert nx.number_of_nonisomorphic_trees(7) == 11 + assert nx.number_of_nonisomorphic_trees(8) == 23 + + def test_nonisomorphic_trees(self): + def f(x): + return list(nx.nonisomorphic_trees(x)) + + assert edges_equal(f(3)[0].edges(), [(0, 1), (0, 2)]) + assert edges_equal(f(4)[0].edges(), [(0, 1), (0, 3), (1, 2)]) + assert edges_equal(f(4)[1].edges(), [(0, 1), (0, 2), (0, 3)]) + + def test_nonisomorphic_trees_matrix(self): + trees_2 = [[[0, 1], [1, 0]]] + with pytest.deprecated_call(): + assert list(nx.nonisomorphic_trees(2, create="matrix")) == trees_2 + + trees_3 = [[[0, 1, 1], [1, 0, 0], [1, 0, 0]]] + with pytest.deprecated_call(): + assert list(nx.nonisomorphic_trees(3, create="matrix")) == trees_3 + + trees_4 = [ + [[0, 1, 0, 1], [1, 0, 1, 0], [0, 1, 0, 0], [1, 0, 0, 0]], + [[0, 1, 1, 1], [1, 0, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0]], + ] + with pytest.deprecated_call(): + assert list(nx.nonisomorphic_trees(4, create="matrix")) == trees_4 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_random_clustered.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_random_clustered.py new file mode 100644 index 0000000000000000000000000000000000000000..85066520ae59f1e9bec03327630276918d573fb2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_random_clustered.py @@ -0,0 +1,33 @@ +import pytest + +import networkx as nx + + +class TestRandomClusteredGraph: + def test_custom_joint_degree_sequence(self): + node = [1, 1, 1, 2, 1, 2, 0, 0] + tri = [0, 0, 0, 0, 0, 1, 1, 1] + joint_degree_sequence = zip(node, tri) + G = nx.random_clustered_graph(joint_degree_sequence) + assert G.number_of_nodes() == 8 + assert G.number_of_edges() == 7 + + def test_tuple_joint_degree_sequence(self): + G = nx.random_clustered_graph([(1, 2), (2, 1), (1, 1), (1, 1), (1, 1), (2, 0)]) + assert G.number_of_nodes() == 6 + assert G.number_of_edges() == 10 + + def test_invalid_joint_degree_sequence_type(self): + with pytest.raises(nx.NetworkXError, match="Invalid degree sequence"): + nx.random_clustered_graph([[1, 1], [2, 1], [0, 1]]) + + def test_invalid_joint_degree_sequence_value(self): + with pytest.raises(nx.NetworkXError, match="Invalid degree sequence"): + nx.random_clustered_graph([[1, 1], [1, 2], [0, 1]]) + + def test_directed_graph_raises_error(self): + with pytest.raises(nx.NetworkXError, match="Directed Graph not supported"): + nx.random_clustered_graph( + [(1, 2), (2, 1), (1, 1), (1, 1), (1, 1), (2, 0)], + create_using=nx.DiGraph, + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_random_graphs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_random_graphs.py new file mode 100644 index 0000000000000000000000000000000000000000..3262e542bf3f082fc769e1d66b9d6e902ad5b9d0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_random_graphs.py @@ -0,0 +1,478 @@ +"""Unit tests for the :mod:`networkx.generators.random_graphs` module.""" + +import pytest + +import networkx as nx + +_gnp_generators = [ + nx.gnp_random_graph, + nx.fast_gnp_random_graph, + nx.binomial_graph, + nx.erdos_renyi_graph, +] + + +@pytest.mark.parametrize("generator", _gnp_generators) +@pytest.mark.parametrize("directed", (True, False)) +def test_gnp_generators_negative_edge_probability(generator, directed): + """If the edge probability `p` is <=0, the resulting graph should have no edges.""" + G = generator(10, -1.1, directed=directed) + assert len(G) == 10 + assert G.number_of_edges() == 0 + assert G.is_directed() == directed + + +@pytest.mark.parametrize("generator", _gnp_generators) +@pytest.mark.parametrize( + ("directed", "expected_num_edges"), + [(False, 45), (True, 90)], +) +def test_gnp_generators_greater_than_1_edge_probability( + generator, directed, expected_num_edges +): + """If the edge probability `p` is >=1, the resulting graph should be complete.""" + G = generator(10, 1.1, directed=directed) + assert len(G) == 10 + assert G.number_of_edges() == expected_num_edges + assert G.is_directed() == directed + + +@pytest.mark.parametrize("generator", _gnp_generators) +@pytest.mark.parametrize("directed", (True, False)) +def test_gnp_generators_basic(generator, directed): + """If the edge probability `p` is >0 and <1, test only the basic properties.""" + G = generator(10, 0.1, directed=directed) + assert len(G) == 10 + assert G.is_directed() == directed + + +@pytest.mark.parametrize("generator", _gnp_generators) +def test_gnp_generators_for_p_close_to_1(generator): + """If the edge probability `p` is close to 1, the resulting graph should have all edges.""" + runs = 100 + edges = sum( + generator(10, 0.99999, directed=True).number_of_edges() for _ in range(runs) + ) + assert abs(edges / float(runs) - 90) <= runs * 2.0 / 100 + + +@pytest.mark.parametrize("generator", _gnp_generators) +@pytest.mark.parametrize("p", (0.2, 0.8)) +@pytest.mark.parametrize("directed", (True, False)) +def test_gnp_generators_edge_probability(generator, p, directed): + """Test that gnp generators generate edges according to the their probability `p`.""" + runs = 5000 + n = 5 + edge_counts = [[0] * n for _ in range(n)] + for i in range(runs): + G = generator(n, p, directed=directed) + for v, w in G.edges: + edge_counts[v][w] += 1 + if not directed: + edge_counts[w][v] += 1 + for v in range(n): + for w in range(n): + if v == w: + # There should be no loops + assert edge_counts[v][w] == 0 + else: + # Each edge should have been generated with probability close to p + assert abs(edge_counts[v][w] / float(runs) - p) <= 0.03 + + +@pytest.mark.parametrize( + "generator", [nx.gnp_random_graph, nx.binomial_graph, nx.erdos_renyi_graph] +) +@pytest.mark.parametrize( + ("seed", "directed", "expected_num_edges"), + [(42, False, 1219), (42, True, 2454), (314, False, 1247), (314, True, 2476)], +) +def test_gnp_random_graph_aliases(generator, seed, directed, expected_num_edges): + """Test that aliases give the same result with the same seed.""" + G = generator(100, 0.25, seed=seed, directed=directed) + assert len(G) == 100 + assert G.number_of_edges() == expected_num_edges + assert G.is_directed() == directed + + +class TestGeneratorsRandom: + def test_random_graph(self): + seed = 42 + G = nx.gnm_random_graph(100, 20, seed) + G = nx.gnm_random_graph(100, 20, seed, directed=True) + G = nx.dense_gnm_random_graph(100, 20, seed) + + G = nx.barabasi_albert_graph(100, 1, seed) + G = nx.barabasi_albert_graph(100, 3, seed) + assert G.number_of_edges() == (97 * 3) + + G = nx.barabasi_albert_graph(100, 3, seed, nx.complete_graph(5)) + assert G.number_of_edges() == (10 + 95 * 3) + + G = nx.extended_barabasi_albert_graph(100, 1, 0, 0, seed) + assert G.number_of_edges() == 99 + G = nx.extended_barabasi_albert_graph(100, 3, 0, 0, seed) + assert G.number_of_edges() == 97 * 3 + G = nx.extended_barabasi_albert_graph(100, 1, 0, 0.5, seed) + assert G.number_of_edges() == 99 + G = nx.extended_barabasi_albert_graph(100, 2, 0.5, 0, seed) + assert G.number_of_edges() > 100 * 3 + assert G.number_of_edges() < 100 * 4 + + G = nx.extended_barabasi_albert_graph(100, 2, 0.3, 0.3, seed) + assert G.number_of_edges() > 100 * 2 + assert G.number_of_edges() < 100 * 4 + + G = nx.powerlaw_cluster_graph(100, 1, 1.0, seed) + G = nx.powerlaw_cluster_graph(100, 3, 0.0, seed) + assert G.number_of_edges() == (97 * 3) + + G = nx.random_regular_graph(10, 20, seed) + + pytest.raises(nx.NetworkXError, nx.random_regular_graph, 3, 21) + pytest.raises(nx.NetworkXError, nx.random_regular_graph, 33, 21) + + constructor = [(10, 20, 0.8), (20, 40, 0.8)] + G = nx.random_shell_graph(constructor, seed) + + def is_caterpillar(g): + """ + A tree is a caterpillar iff all nodes of degree >=3 are surrounded + by at most two nodes of degree two or greater. + ref: http://mathworld.wolfram.com/CaterpillarGraph.html + """ + deg_over_3 = [n for n in g if g.degree(n) >= 3] + for n in deg_over_3: + nbh_deg_over_2 = [nbh for nbh in g.neighbors(n) if g.degree(nbh) >= 2] + if not len(nbh_deg_over_2) <= 2: + return False + return True + + def is_lobster(g): + """ + A tree is a lobster if it has the property that the removal of leaf + nodes leaves a caterpillar graph (Gallian 2007) + ref: http://mathworld.wolfram.com/LobsterGraph.html + """ + non_leafs = [n for n in g if g.degree(n) > 1] + return is_caterpillar(g.subgraph(non_leafs)) + + G = nx.random_lobster(10, 0.1, 0.5, seed) + assert max(G.degree(n) for n in G.nodes()) > 3 + assert is_lobster(G) + pytest.raises(nx.NetworkXError, nx.random_lobster, 10, 0.1, 1, seed) + pytest.raises(nx.NetworkXError, nx.random_lobster, 10, 1, 1, seed) + pytest.raises(nx.NetworkXError, nx.random_lobster, 10, 1, 0.5, seed) + + # docstring says this should be a caterpillar + G = nx.random_lobster(10, 0.1, 0.0, seed) + assert is_caterpillar(G) + + # difficult to find seed that requires few tries + seq = nx.random_powerlaw_tree_sequence(10, 3, seed=14, tries=1) + G = nx.random_powerlaw_tree(10, 3, seed=14, tries=1) + + def test_dual_barabasi_albert(self, m1=1, m2=4, p=0.5): + """ + Tests that the dual BA random graph generated behaves consistently. + + Tests the exceptions are raised as expected. + + The graphs generation are repeated several times to prevent lucky shots + + """ + seeds = [42, 314, 2718] + initial_graph = nx.complete_graph(10) + + for seed in seeds: + # This should be BA with m = m1 + BA1 = nx.barabasi_albert_graph(100, m1, seed) + DBA1 = nx.dual_barabasi_albert_graph(100, m1, m2, 1, seed) + assert BA1.edges() == DBA1.edges() + + # This should be BA with m = m2 + BA2 = nx.barabasi_albert_graph(100, m2, seed) + DBA2 = nx.dual_barabasi_albert_graph(100, m1, m2, 0, seed) + assert BA2.edges() == DBA2.edges() + + BA3 = nx.barabasi_albert_graph(100, m1, seed) + DBA3 = nx.dual_barabasi_albert_graph(100, m1, m1, p, seed) + # We can't compare edges here since randomness is "consumed" when drawing + # between m1 and m2 + assert BA3.size() == DBA3.size() + + DBA = nx.dual_barabasi_albert_graph(100, m1, m2, p, seed, initial_graph) + BA1 = nx.barabasi_albert_graph(100, m1, seed, initial_graph) + BA2 = nx.barabasi_albert_graph(100, m2, seed, initial_graph) + assert ( + min(BA1.size(), BA2.size()) <= DBA.size() <= max(BA1.size(), BA2.size()) + ) + + # Testing exceptions + dbag = nx.dual_barabasi_albert_graph + pytest.raises(nx.NetworkXError, dbag, m1, m1, m2, 0) + pytest.raises(nx.NetworkXError, dbag, m2, m1, m2, 0) + pytest.raises(nx.NetworkXError, dbag, 100, m1, m2, -0.5) + pytest.raises(nx.NetworkXError, dbag, 100, m1, m2, 1.5) + initial = nx.complete_graph(max(m1, m2) - 1) + pytest.raises(nx.NetworkXError, dbag, 100, m1, m2, p, initial_graph=initial) + + def test_extended_barabasi_albert(self, m=2): + """ + Tests that the extended BA random graph generated behaves consistently. + + Tests the exceptions are raised as expected. + + The graphs generation are repeated several times to prevent lucky-shots + + """ + seeds = [42, 314, 2718] + + for seed in seeds: + BA_model = nx.barabasi_albert_graph(100, m, seed) + BA_model_edges = BA_model.number_of_edges() + + # This behaves just like BA, the number of edges must be the same + G1 = nx.extended_barabasi_albert_graph(100, m, 0, 0, seed) + assert G1.size() == BA_model_edges + + # More than twice more edges should have been added + G1 = nx.extended_barabasi_albert_graph(100, m, 0.8, 0, seed) + assert G1.size() > BA_model_edges * 2 + + # Only edge rewiring, so the number of edges less than original + G2 = nx.extended_barabasi_albert_graph(100, m, 0, 0.8, seed) + assert G2.size() == BA_model_edges + + # Mixed scenario: less edges than G1 and more edges than G2 + G3 = nx.extended_barabasi_albert_graph(100, m, 0.3, 0.3, seed) + assert G3.size() > G2.size() + assert G3.size() < G1.size() + + # Testing exceptions + ebag = nx.extended_barabasi_albert_graph + pytest.raises(nx.NetworkXError, ebag, m, m, 0, 0) + pytest.raises(nx.NetworkXError, ebag, 1, 0.5, 0, 0) + pytest.raises(nx.NetworkXError, ebag, 100, 2, 0.5, 0.5) + + def test_random_zero_regular_graph(self): + """Tests that a 0-regular graph has the correct number of nodes and + edges. + + """ + seed = 42 + G = nx.random_regular_graph(0, 10, seed) + assert len(G) == 10 + assert G.number_of_edges() == 0 + + def test_gnm(self): + G = nx.gnm_random_graph(10, 3) + assert len(G) == 10 + assert G.number_of_edges() == 3 + + G = nx.gnm_random_graph(10, 3, seed=42) + assert len(G) == 10 + assert G.number_of_edges() == 3 + + G = nx.gnm_random_graph(10, 100) + assert len(G) == 10 + assert G.number_of_edges() == 45 + + G = nx.gnm_random_graph(10, 100, directed=True) + assert len(G) == 10 + assert G.number_of_edges() == 90 + + G = nx.gnm_random_graph(10, -1.1) + assert len(G) == 10 + assert G.number_of_edges() == 0 + + def test_watts_strogatz_big_k(self): + # Test to make sure than n <= k + pytest.raises(nx.NetworkXError, nx.watts_strogatz_graph, 10, 11, 0.25) + pytest.raises(nx.NetworkXError, nx.newman_watts_strogatz_graph, 10, 11, 0.25) + + # could create an infinite loop, now doesn't + # infinite loop used to occur when a node has degree n-1 and needs to rewire + nx.watts_strogatz_graph(10, 9, 0.25, seed=0) + nx.newman_watts_strogatz_graph(10, 9, 0.5, seed=0) + + # Test k==n scenario + nx.watts_strogatz_graph(10, 10, 0.25, seed=0) + nx.newman_watts_strogatz_graph(10, 10, 0.25, seed=0) + + def test_random_kernel_graph(self): + def integral(u, w, z): + return c * (z - w) + + def root(u, w, r): + return r / c + w + + c = 1 + graph = nx.random_kernel_graph(1000, integral, root) + graph = nx.random_kernel_graph(1000, integral, root, seed=42) + assert len(graph) == 1000 + + +@pytest.mark.parametrize( + ("k", "expected_num_nodes", "expected_num_edges"), + [ + (2, 10, 10), + (4, 10, 20), + ], +) +def test_watts_strogatz(k, expected_num_nodes, expected_num_edges): + G = nx.watts_strogatz_graph(10, k, 0.25, seed=42) + assert len(G) == expected_num_nodes + assert G.number_of_edges() == expected_num_edges + + +def test_newman_watts_strogatz_zero_probability(): + G = nx.newman_watts_strogatz_graph(10, 2, 0.0, seed=42) + assert len(G) == 10 + assert G.number_of_edges() == 10 + + +def test_newman_watts_strogatz_nonzero_probability(): + G = nx.newman_watts_strogatz_graph(10, 4, 0.25, seed=42) + assert len(G) == 10 + assert G.number_of_edges() >= 20 + + +def test_connected_watts_strogatz(): + G = nx.connected_watts_strogatz_graph(10, 2, 0.1, tries=10, seed=42) + assert len(G) == 10 + assert G.number_of_edges() == 10 + + +def test_connected_watts_strogatz_zero_tries(): + with pytest.raises(nx.NetworkXError, match="Maximum number of tries exceeded"): + nx.connected_watts_strogatz_graph(10, 2, 0.1, tries=0) + + +@pytest.mark.parametrize( + "generator, kwargs", + [ + (nx.fast_gnp_random_graph, {"n": 20, "p": 0.2, "directed": False}), + (nx.fast_gnp_random_graph, {"n": 20, "p": 0.2, "directed": True}), + (nx.gnp_random_graph, {"n": 20, "p": 0.2, "directed": False}), + (nx.gnp_random_graph, {"n": 20, "p": 0.2, "directed": True}), + (nx.dense_gnm_random_graph, {"n": 30, "m": 4}), + (nx.gnm_random_graph, {"n": 30, "m": 4, "directed": False}), + (nx.gnm_random_graph, {"n": 30, "m": 4, "directed": True}), + (nx.newman_watts_strogatz_graph, {"n": 50, "k": 5, "p": 0.1}), + (nx.watts_strogatz_graph, {"n": 50, "k": 5, "p": 0.1}), + (nx.connected_watts_strogatz_graph, {"n": 50, "k": 5, "p": 0.1}), + (nx.random_regular_graph, {"d": 5, "n": 20}), + (nx.barabasi_albert_graph, {"n": 40, "m": 3}), + (nx.dual_barabasi_albert_graph, {"n": 40, "m1": 3, "m2": 2, "p": 0.1}), + (nx.extended_barabasi_albert_graph, {"n": 40, "m": 3, "p": 0.1, "q": 0.2}), + (nx.powerlaw_cluster_graph, {"n": 40, "m": 3, "p": 0.1}), + (nx.random_lobster, {"n": 40, "p1": 0.1, "p2": 0.2}), + (nx.random_shell_graph, {"constructor": [(10, 20, 0.8), (20, 40, 0.8)]}), + (nx.random_powerlaw_tree, {"n": 10, "seed": 14, "tries": 1}), + ( + nx.random_kernel_graph, + { + "n": 10, + "kernel_integral": lambda u, w, z: z - w, + "kernel_root": lambda u, w, r: r + w, + }, + ), + ], +) +@pytest.mark.parametrize("create_using_instance", [False, True]) +def test_create_using(generator, kwargs, create_using_instance): + class DummyGraph(nx.Graph): + pass + + class DummyDiGraph(nx.DiGraph): + pass + + create_using_type = DummyDiGraph if kwargs.get("directed") else DummyGraph + create_using = create_using_type() if create_using_instance else create_using_type + graph = generator(**kwargs, create_using=create_using) + assert isinstance(graph, create_using_type) + + +@pytest.mark.parametrize("directed", [True, False]) +@pytest.mark.parametrize("fn", (nx.fast_gnp_random_graph, nx.gnp_random_graph)) +def test_gnp_fns_disallow_multigraph(fn, directed): + with pytest.raises(nx.NetworkXError, match="must not be a multi-graph"): + fn(20, 0.2, create_using=nx.MultiGraph) + + +@pytest.mark.parametrize("fn", (nx.gnm_random_graph, nx.dense_gnm_random_graph)) +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_gnm_fns_disallow_directed_and_multigraph(fn, graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + fn(10, 20, create_using=graphtype) + + +@pytest.mark.parametrize( + "fn", + ( + nx.newman_watts_strogatz_graph, + nx.watts_strogatz_graph, + nx.connected_watts_strogatz_graph, + ), +) +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_watts_strogatz_disallow_directed_and_multigraph(fn, graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + fn(10, 2, 0.2, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_random_regular_graph_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.random_regular_graph(2, 10, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_barabasi_albert_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.barabasi_albert_graph(10, 3, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_dual_barabasi_albert_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.dual_barabasi_albert_graph(10, 2, 1, 0.4, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_extended_barabasi_albert_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.extended_barabasi_albert_graph(10, 2, 0.2, 0.3, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_powerlaw_cluster_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.powerlaw_cluster_graph(10, 5, 0.2, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_random_lobster_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.random_lobster(10, 0.1, 0.1, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_random_shell_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.random_shell_graph([(10, 20, 2), (10, 20, 5)], create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_random_powerlaw_tree_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.random_powerlaw_tree(10, create_using=graphtype) + + +@pytest.mark.parametrize("graphtype", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph)) +def test_random_kernel_disallow_directed_and_multigraph(graphtype): + with pytest.raises(nx.NetworkXError, match="must not be"): + nx.random_kernel_graph( + 10, lambda y, a, b: a + b, lambda u, w, r: r + w, create_using=graphtype + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_small.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_small.py new file mode 100644 index 0000000000000000000000000000000000000000..355d6d36af52d5525a560fb77eea5c51d89ab82b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_small.py @@ -0,0 +1,208 @@ +import pytest + +import networkx as nx +from networkx.algorithms.isomorphism.isomorph import graph_could_be_isomorphic + +is_isomorphic = graph_could_be_isomorphic + +"""Generators - Small +===================== + +Some small graphs +""" + +null = nx.null_graph() + + +class TestGeneratorsSmall: + def test__LCF_graph(self): + # If n<=0, then return the null_graph + G = nx.LCF_graph(-10, [1, 2], 100) + assert is_isomorphic(G, null) + G = nx.LCF_graph(0, [1, 2], 3) + assert is_isomorphic(G, null) + G = nx.LCF_graph(0, [1, 2], 10) + assert is_isomorphic(G, null) + + # Test that LCF(n,[],0) == cycle_graph(n) + for a, b, c in [(5, [], 0), (10, [], 0), (5, [], 1), (10, [], 10)]: + G = nx.LCF_graph(a, b, c) + assert is_isomorphic(G, nx.cycle_graph(a)) + + # Generate the utility graph K_{3,3} + G = nx.LCF_graph(6, [3, -3], 3) + utility_graph = nx.complete_bipartite_graph(3, 3) + assert is_isomorphic(G, utility_graph) + + with pytest.raises(nx.NetworkXError, match="Directed Graph not supported"): + G = nx.LCF_graph(6, [3, -3], 3, create_using=nx.DiGraph) + + def test_properties_named_small_graphs(self): + G = nx.bull_graph() + assert sorted(G) == list(range(5)) + assert G.number_of_edges() == 5 + assert sorted(d for n, d in G.degree()) == [1, 1, 2, 3, 3] + assert nx.diameter(G) == 3 + assert nx.radius(G) == 2 + + G = nx.chvatal_graph() + assert sorted(G) == list(range(12)) + assert G.number_of_edges() == 24 + assert [d for n, d in G.degree()] == 12 * [4] + assert nx.diameter(G) == 2 + assert nx.radius(G) == 2 + + G = nx.cubical_graph() + assert sorted(G) == list(range(8)) + assert G.number_of_edges() == 12 + assert [d for n, d in G.degree()] == 8 * [3] + assert nx.diameter(G) == 3 + assert nx.radius(G) == 3 + + G = nx.desargues_graph() + assert sorted(G) == list(range(20)) + assert G.number_of_edges() == 30 + assert [d for n, d in G.degree()] == 20 * [3] + + G = nx.diamond_graph() + assert sorted(G) == list(range(4)) + assert sorted(d for n, d in G.degree()) == [2, 2, 3, 3] + assert nx.diameter(G) == 2 + assert nx.radius(G) == 1 + + G = nx.dodecahedral_graph() + assert sorted(G) == list(range(20)) + assert G.number_of_edges() == 30 + assert [d for n, d in G.degree()] == 20 * [3] + assert nx.diameter(G) == 5 + assert nx.radius(G) == 5 + + G = nx.frucht_graph() + assert sorted(G) == list(range(12)) + assert G.number_of_edges() == 18 + assert [d for n, d in G.degree()] == 12 * [3] + assert nx.diameter(G) == 4 + assert nx.radius(G) == 3 + + G = nx.heawood_graph() + assert sorted(G) == list(range(14)) + assert G.number_of_edges() == 21 + assert [d for n, d in G.degree()] == 14 * [3] + assert nx.diameter(G) == 3 + assert nx.radius(G) == 3 + + G = nx.hoffman_singleton_graph() + assert sorted(G) == list(range(50)) + assert G.number_of_edges() == 175 + assert [d for n, d in G.degree()] == 50 * [7] + assert nx.diameter(G) == 2 + assert nx.radius(G) == 2 + + G = nx.house_graph() + assert sorted(G) == list(range(5)) + assert G.number_of_edges() == 6 + assert sorted(d for n, d in G.degree()) == [2, 2, 2, 3, 3] + assert nx.diameter(G) == 2 + assert nx.radius(G) == 2 + + G = nx.house_x_graph() + assert sorted(G) == list(range(5)) + assert G.number_of_edges() == 8 + assert sorted(d for n, d in G.degree()) == [2, 3, 3, 4, 4] + assert nx.diameter(G) == 2 + assert nx.radius(G) == 1 + + G = nx.icosahedral_graph() + assert sorted(G) == list(range(12)) + assert G.number_of_edges() == 30 + assert [d for n, d in G.degree()] == [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5] + assert nx.diameter(G) == 3 + assert nx.radius(G) == 3 + + G = nx.krackhardt_kite_graph() + assert sorted(G) == list(range(10)) + assert G.number_of_edges() == 18 + assert sorted(d for n, d in G.degree()) == [1, 2, 3, 3, 3, 4, 4, 5, 5, 6] + + G = nx.moebius_kantor_graph() + assert sorted(G) == list(range(16)) + assert G.number_of_edges() == 24 + assert [d for n, d in G.degree()] == 16 * [3] + assert nx.diameter(G) == 4 + + G = nx.octahedral_graph() + assert sorted(G) == list(range(6)) + assert G.number_of_edges() == 12 + assert [d for n, d in G.degree()] == 6 * [4] + assert nx.diameter(G) == 2 + assert nx.radius(G) == 2 + + G = nx.pappus_graph() + assert sorted(G) == list(range(18)) + assert G.number_of_edges() == 27 + assert [d for n, d in G.degree()] == 18 * [3] + assert nx.diameter(G) == 4 + + G = nx.petersen_graph() + assert sorted(G) == list(range(10)) + assert G.number_of_edges() == 15 + assert [d for n, d in G.degree()] == 10 * [3] + assert nx.diameter(G) == 2 + assert nx.radius(G) == 2 + + G = nx.sedgewick_maze_graph() + assert sorted(G) == list(range(8)) + assert G.number_of_edges() == 10 + assert sorted(d for n, d in G.degree()) == [1, 2, 2, 2, 3, 3, 3, 4] + + G = nx.tetrahedral_graph() + assert sorted(G) == list(range(4)) + assert G.number_of_edges() == 6 + assert [d for n, d in G.degree()] == [3, 3, 3, 3] + assert nx.diameter(G) == 1 + assert nx.radius(G) == 1 + + G = nx.truncated_cube_graph() + assert sorted(G) == list(range(24)) + assert G.number_of_edges() == 36 + assert [d for n, d in G.degree()] == 24 * [3] + + G = nx.truncated_tetrahedron_graph() + assert sorted(G) == list(range(12)) + assert G.number_of_edges() == 18 + assert [d for n, d in G.degree()] == 12 * [3] + + G = nx.tutte_graph() + assert sorted(G) == list(range(46)) + assert G.number_of_edges() == 69 + assert [d for n, d in G.degree()] == 46 * [3] + + # Test create_using with directed or multigraphs on small graphs + pytest.raises(nx.NetworkXError, nx.tutte_graph, create_using=nx.DiGraph) + MG = nx.tutte_graph(create_using=nx.MultiGraph) + assert sorted(MG.edges()) == sorted(G.edges()) + + +@pytest.mark.parametrize( + "fn", + ( + nx.bull_graph, + nx.chvatal_graph, + nx.cubical_graph, + nx.diamond_graph, + nx.house_graph, + nx.house_x_graph, + nx.icosahedral_graph, + nx.krackhardt_kite_graph, + nx.octahedral_graph, + nx.petersen_graph, + nx.truncated_cube_graph, + nx.tutte_graph, + ), +) +@pytest.mark.parametrize( + "create_using", (nx.DiGraph, nx.MultiDiGraph, nx.DiGraph([(0, 1)])) +) +def tests_raises_with_directed_create_using(fn, create_using): + with pytest.raises(nx.NetworkXError, match="Directed Graph not supported"): + fn(create_using=create_using) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_spectral_graph_forge.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_spectral_graph_forge.py new file mode 100644 index 0000000000000000000000000000000000000000..b554bfd7017658c9e3ac801c4504c9702d1e03d9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_spectral_graph_forge.py @@ -0,0 +1,49 @@ +import pytest + +pytest.importorskip("numpy") +pytest.importorskip("scipy") + + +from networkx import is_isomorphic +from networkx.exception import NetworkXError +from networkx.generators import karate_club_graph +from networkx.generators.spectral_graph_forge import spectral_graph_forge +from networkx.utils import nodes_equal + + +def test_spectral_graph_forge(): + G = karate_club_graph() + + seed = 54321 + + # common cases, just checking node number preserving and difference + # between identity and modularity cases + H = spectral_graph_forge(G, 0.1, transformation="identity", seed=seed) + assert nodes_equal(G, H) + + I = spectral_graph_forge(G, 0.1, transformation="identity", seed=seed) + assert nodes_equal(G, H) + assert is_isomorphic(I, H) + + I = spectral_graph_forge(G, 0.1, transformation="modularity", seed=seed) + assert nodes_equal(G, I) + + assert not is_isomorphic(I, H) + + # with all the eigenvectors, output graph is identical to the input one + H = spectral_graph_forge(G, 1, transformation="modularity", seed=seed) + assert nodes_equal(G, H) + assert is_isomorphic(G, H) + + # invalid alpha input value, it is silently truncated in [0,1] + H = spectral_graph_forge(G, -1, transformation="identity", seed=seed) + assert nodes_equal(G, H) + + H = spectral_graph_forge(G, 10, transformation="identity", seed=seed) + assert nodes_equal(G, H) + assert is_isomorphic(G, H) + + # invalid transformation mode, checking the error raising + pytest.raises( + NetworkXError, spectral_graph_forge, G, 0.1, transformation="unknown", seed=seed + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_stochastic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_stochastic.py new file mode 100644 index 0000000000000000000000000000000000000000..0404d9d8454b36b546152c1428790441c6952fa2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_stochastic.py @@ -0,0 +1,72 @@ +"""Unit tests for the :mod:`networkx.generators.stochastic` module.""" + +import pytest + +import networkx as nx + + +class TestStochasticGraph: + """Unit tests for the :func:`~networkx.stochastic_graph` function.""" + + def test_default_weights(self): + G = nx.DiGraph() + G.add_edge(0, 1) + G.add_edge(0, 2) + S = nx.stochastic_graph(G) + assert nx.is_isomorphic(G, S) + assert sorted(S.edges(data=True)) == [ + (0, 1, {"weight": 0.5}), + (0, 2, {"weight": 0.5}), + ] + + def test_in_place(self): + """Tests for an in-place reweighting of the edges of the graph.""" + G = nx.DiGraph() + G.add_edge(0, 1, weight=1) + G.add_edge(0, 2, weight=1) + nx.stochastic_graph(G, copy=False) + assert sorted(G.edges(data=True)) == [ + (0, 1, {"weight": 0.5}), + (0, 2, {"weight": 0.5}), + ] + + def test_arbitrary_weights(self): + G = nx.DiGraph() + G.add_edge(0, 1, weight=1) + G.add_edge(0, 2, weight=1) + S = nx.stochastic_graph(G) + assert sorted(S.edges(data=True)) == [ + (0, 1, {"weight": 0.5}), + (0, 2, {"weight": 0.5}), + ] + + def test_multidigraph(self): + G = nx.MultiDiGraph() + G.add_edges_from([(0, 1), (0, 1), (0, 2), (0, 2)]) + S = nx.stochastic_graph(G) + d = {"weight": 0.25} + assert sorted(S.edges(data=True)) == [ + (0, 1, d), + (0, 1, d), + (0, 2, d), + (0, 2, d), + ] + + def test_zero_weights(self): + """Smoke test: ensure ZeroDivisionError is not raised.""" + G = nx.DiGraph() + G.add_edge(0, 1, weight=0) + G.add_edge(0, 2, weight=0) + S = nx.stochastic_graph(G) + assert sorted(S.edges(data=True)) == [ + (0, 1, {"weight": 0}), + (0, 2, {"weight": 0}), + ] + + def test_graph_disallowed(self): + with pytest.raises(nx.NetworkXNotImplemented): + nx.stochastic_graph(nx.Graph()) + + def test_multigraph_disallowed(self): + with pytest.raises(nx.NetworkXNotImplemented): + nx.stochastic_graph(nx.MultiGraph()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_sudoku.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_sudoku.py new file mode 100644 index 0000000000000000000000000000000000000000..7c3560aa81890d0dc308219d7f0983d3950f9fd5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_sudoku.py @@ -0,0 +1,92 @@ +"""Unit tests for the :mod:`networkx.generators.sudoku_graph` module.""" + +import pytest + +import networkx as nx + + +def test_sudoku_negative(): + """Raise an error when generating a Sudoku graph of order -1.""" + pytest.raises(nx.NetworkXError, nx.sudoku_graph, n=-1) + + +@pytest.mark.parametrize("n", [0, 1, 2, 3, 4]) +def test_sudoku_generator(n): + """Generate Sudoku graphs of various sizes and verify their properties.""" + G = nx.sudoku_graph(n) + expected_nodes = n**4 + expected_degree = (n - 1) * (3 * n + 1) + expected_edges = expected_nodes * expected_degree // 2 + assert not G.is_directed() + assert not G.is_multigraph() + assert G.number_of_nodes() == expected_nodes + assert G.number_of_edges() == expected_edges + assert all(d == expected_degree for _, d in G.degree) + + if n == 2: + assert sorted(G.neighbors(6)) == [2, 3, 4, 5, 7, 10, 14] + elif n == 3: + assert sorted(G.neighbors(42)) == [ + 6, + 15, + 24, + 33, + 34, + 35, + 36, + 37, + 38, + 39, + 40, + 41, + 43, + 44, + 51, + 52, + 53, + 60, + 69, + 78, + ] + elif n == 4: + assert sorted(G.neighbors(0)) == [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18, + 19, + 32, + 33, + 34, + 35, + 48, + 49, + 50, + 51, + 64, + 80, + 96, + 112, + 128, + 144, + 160, + 176, + 192, + 208, + 224, + 240, + ] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_time_series.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_time_series.py new file mode 100644 index 0000000000000000000000000000000000000000..5d0cc90a53589a46d0444be6df7c31a1f5beec06 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_time_series.py @@ -0,0 +1,64 @@ +"""Unit tests for the :mod:`networkx.generators.time_series` module.""" + +import itertools + +import networkx as nx + + +def test_visibility_graph__empty_series__empty_graph(): + null_graph = nx.visibility_graph([]) # move along nothing to see here + assert nx.is_empty(null_graph) + + +def test_visibility_graph__single_value_ts__single_node_graph(): + node_graph = nx.visibility_graph([10]) # So Lonely + assert node_graph.number_of_nodes() == 1 + assert node_graph.number_of_edges() == 0 + + +def test_visibility_graph__two_values_ts__single_edge_graph(): + edge_graph = nx.visibility_graph([10, 20]) # Two of Us + assert list(edge_graph.edges) == [(0, 1)] + + +def test_visibility_graph__convex_series__complete_graph(): + series = [i**2 for i in range(10)] # no obstructions + expected_series_length = len(series) + + actual_graph = nx.visibility_graph(series) + + assert actual_graph.number_of_nodes() == expected_series_length + assert actual_graph.number_of_edges() == 45 + assert nx.is_isomorphic(actual_graph, nx.complete_graph(expected_series_length)) + + +def test_visibility_graph__concave_series__path_graph(): + series = [-(i**2) for i in range(10)] # Slip Slidin' Away + expected_node_count = len(series) + + actual_graph = nx.visibility_graph(series) + + assert actual_graph.number_of_nodes() == expected_node_count + assert actual_graph.number_of_edges() == expected_node_count - 1 + assert nx.is_isomorphic(actual_graph, nx.path_graph(expected_node_count)) + + +def test_visibility_graph__flat_series__path_graph(): + series = [0] * 10 # living in 1D flatland + expected_node_count = len(series) + + actual_graph = nx.visibility_graph(series) + + assert actual_graph.number_of_nodes() == expected_node_count + assert actual_graph.number_of_edges() == expected_node_count - 1 + assert nx.is_isomorphic(actual_graph, nx.path_graph(expected_node_count)) + + +def test_visibility_graph_cyclic_series(): + series = list(itertools.islice(itertools.cycle((2, 1, 3)), 17)) # It's so bumpy! + expected_node_count = len(series) + + actual_graph = nx.visibility_graph(series) + + assert actual_graph.number_of_nodes() == expected_node_count + assert actual_graph.number_of_edges() == 25 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_trees.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_trees.py new file mode 100644 index 0000000000000000000000000000000000000000..7932436bf7ad6bb5ab5124f6ff59b7523358354d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_trees.py @@ -0,0 +1,195 @@ +import random + +import pytest + +import networkx as nx +from networkx.utils import arbitrary_element, graphs_equal + + +@pytest.mark.parametrize("prefix_tree_fn", (nx.prefix_tree, nx.prefix_tree_recursive)) +def test_basic_prefix_tree(prefix_tree_fn): + # This example is from the Wikipedia article "Trie" + # . + strings = ["a", "to", "tea", "ted", "ten", "i", "in", "inn"] + T = prefix_tree_fn(strings) + root, NIL = 0, -1 + + def source_label(v): + return T.nodes[v]["source"] + + # First, we check that the tree has the expected + # structure. Recall that each node that corresponds to one of + # the input strings has an edge to the NIL node. + # + # Consider the three children at level 1 in the trie. + a, i, t = sorted(T[root], key=source_label) + # Check the 'a' branch. + assert len(T[a]) == 1 + nil = arbitrary_element(T[a]) + assert len(T[nil]) == 0 + # Check the 'i' branch. + assert len(T[i]) == 2 + nil, in_ = sorted(T[i], key=source_label) + assert len(T[nil]) == 0 + assert len(T[in_]) == 2 + nil, inn = sorted(T[in_], key=source_label) + assert len(T[nil]) == 0 + assert len(T[inn]) == 1 + nil = arbitrary_element(T[inn]) + assert len(T[nil]) == 0 + # Check the 't' branch. + te, to = sorted(T[t], key=source_label) + assert len(T[to]) == 1 + nil = arbitrary_element(T[to]) + assert len(T[nil]) == 0 + tea, ted, ten = sorted(T[te], key=source_label) + assert len(T[tea]) == 1 + assert len(T[ted]) == 1 + assert len(T[ten]) == 1 + nil = arbitrary_element(T[tea]) + assert len(T[nil]) == 0 + nil = arbitrary_element(T[ted]) + assert len(T[nil]) == 0 + nil = arbitrary_element(T[ten]) + assert len(T[nil]) == 0 + + # Next, we check that the "sources" of each of the nodes is the + # rightmost letter in the string corresponding to the path to + # that node. + assert source_label(root) is None + assert source_label(a) == "a" + assert source_label(i) == "i" + assert source_label(t) == "t" + assert source_label(in_) == "n" + assert source_label(inn) == "n" + assert source_label(to) == "o" + assert source_label(te) == "e" + assert source_label(tea) == "a" + assert source_label(ted) == "d" + assert source_label(ten) == "n" + assert source_label(NIL) == "NIL" + + +@pytest.mark.parametrize( + "strings", + ( + ["a", "to", "tea", "ted", "ten", "i", "in", "inn"], + ["ab", "abs", "ad"], + ["ab", "abs", "ad", ""], + ["distant", "disparaging", "distant", "diamond", "ruby"], + ), +) +def test_implementations_consistent(strings): + """Ensure results are consistent between prefix_tree implementations.""" + assert graphs_equal(nx.prefix_tree(strings), nx.prefix_tree_recursive(strings)) + + +def test_random_labeled_rooted_tree(): + for i in range(1, 10): + t1 = nx.random_labeled_rooted_tree(i, seed=42) + t2 = nx.random_labeled_rooted_tree(i, seed=42) + assert nx.utils.misc.graphs_equal(t1, t2) + assert nx.is_tree(t1) + assert "root" in t1.graph + assert "roots" not in t1.graph + + +def test_random_labeled_tree_n_zero(): + """Tests if n = 0 then the NetworkXPointlessConcept exception is raised.""" + with pytest.raises(nx.NetworkXPointlessConcept): + T = nx.random_labeled_tree(0, seed=1234) + with pytest.raises(nx.NetworkXPointlessConcept): + T = nx.random_labeled_rooted_tree(0, seed=1234) + + +def test_random_labeled_rooted_forest(): + for i in range(1, 10): + t1 = nx.random_labeled_rooted_forest(i, seed=42) + t2 = nx.random_labeled_rooted_forest(i, seed=42) + assert nx.utils.misc.graphs_equal(t1, t2) + for c in nx.connected_components(t1): + assert nx.is_tree(t1.subgraph(c)) + assert "root" not in t1.graph + assert "roots" in t1.graph + + +def test_random_labeled_rooted_forest_n_zero(): + """Tests generation of empty labeled forests.""" + F = nx.random_labeled_rooted_forest(0, seed=1234) + assert len(F) == 0 + assert len(F.graph["roots"]) == 0 + + +def test_random_unlabeled_rooted_tree(): + for i in range(1, 10): + t1 = nx.random_unlabeled_rooted_tree(i, seed=42) + t2 = nx.random_unlabeled_rooted_tree(i, seed=42) + assert nx.utils.misc.graphs_equal(t1, t2) + assert nx.is_tree(t1) + assert "root" in t1.graph + assert "roots" not in t1.graph + t = nx.random_unlabeled_rooted_tree(15, number_of_trees=10, seed=43) + random.seed(43) + s = nx.random_unlabeled_rooted_tree(15, number_of_trees=10, seed=random) + for i in range(10): + assert nx.utils.misc.graphs_equal(t[i], s[i]) + assert nx.is_tree(t[i]) + assert "root" in t[i].graph + assert "roots" not in t[i].graph + + +def test_random_unlabeled_tree_n_zero(): + """Tests if n = 0 then the NetworkXPointlessConcept exception is raised.""" + with pytest.raises(nx.NetworkXPointlessConcept): + T = nx.random_unlabeled_tree(0, seed=1234) + with pytest.raises(nx.NetworkXPointlessConcept): + T = nx.random_unlabeled_rooted_tree(0, seed=1234) + + +def test_random_unlabeled_rooted_forest(): + with pytest.raises(ValueError): + nx.random_unlabeled_rooted_forest(10, q=0, seed=42) + for i in range(1, 10): + for q in range(1, i + 1): + t1 = nx.random_unlabeled_rooted_forest(i, q=q, seed=42) + t2 = nx.random_unlabeled_rooted_forest(i, q=q, seed=42) + assert nx.utils.misc.graphs_equal(t1, t2) + for c in nx.connected_components(t1): + assert nx.is_tree(t1.subgraph(c)) + assert len(c) <= q + assert "root" not in t1.graph + assert "roots" in t1.graph + t = nx.random_unlabeled_rooted_forest(15, number_of_forests=10, seed=43) + random.seed(43) + s = nx.random_unlabeled_rooted_forest(15, number_of_forests=10, seed=random) + for i in range(10): + assert nx.utils.misc.graphs_equal(t[i], s[i]) + for c in nx.connected_components(t[i]): + assert nx.is_tree(t[i].subgraph(c)) + assert "root" not in t[i].graph + assert "roots" in t[i].graph + + +def test_random_unlabeled_forest_n_zero(): + """Tests generation of empty unlabeled forests.""" + F = nx.random_unlabeled_rooted_forest(0, seed=1234) + assert len(F) == 0 + assert len(F.graph["roots"]) == 0 + + +def test_random_unlabeled_tree(): + for i in range(1, 10): + t1 = nx.random_unlabeled_tree(i, seed=42) + t2 = nx.random_unlabeled_tree(i, seed=42) + assert nx.utils.misc.graphs_equal(t1, t2) + assert nx.is_tree(t1) + assert "root" not in t1.graph + assert "roots" not in t1.graph + t = nx.random_unlabeled_tree(10, number_of_trees=10, seed=43) + random.seed(43) + s = nx.random_unlabeled_tree(10, number_of_trees=10, seed=random) + for i in range(10): + assert nx.utils.misc.graphs_equal(t[i], s[i]) + assert nx.is_tree(t[i]) + assert "root" not in t[i].graph + assert "roots" not in t[i].graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_triads.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_triads.py new file mode 100644 index 0000000000000000000000000000000000000000..463844be23a07f71375873bbc71e09c402d51118 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/tests/test_triads.py @@ -0,0 +1,15 @@ +"""Unit tests for the :mod:`networkx.generators.triads` module.""" + +import pytest + +from networkx import triad_graph + + +def test_triad_graph(): + G = triad_graph("030T") + assert [tuple(e) for e in ("ab", "ac", "cb")] == sorted(G.edges()) + + +def test_invalid_name(): + with pytest.raises(ValueError): + triad_graph("bogus") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/time_series.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/time_series.py new file mode 100644 index 0000000000000000000000000000000000000000..592d7734a408bf33e58aad20cb117be674558ad2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/time_series.py @@ -0,0 +1,74 @@ +""" +Time Series Graphs +""" + +import itertools + +import networkx as nx + +__all__ = ["visibility_graph"] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def visibility_graph(series): + """ + Return a Visibility Graph of an input Time Series. + + A visibility graph converts a time series into a graph. The constructed graph + uses integer nodes to indicate which event in the series the node represents. + Edges are formed as follows: consider a bar plot of the series and view that + as a side view of a landscape with a node at the top of each bar. An edge + means that the nodes can be connected by a straight "line-of-sight" without + being obscured by any bars between the nodes. + + The resulting graph inherits several properties of the series in its structure. + Thereby, periodic series convert into regular graphs, random series convert + into random graphs, and fractal series convert into scale-free networks [1]_. + + Parameters + ---------- + series : Sequence[Number] + A Time Series sequence (iterable and sliceable) of numeric values + representing times. + + Returns + ------- + NetworkX Graph + The Visibility Graph of the input series + + Examples + -------- + >>> series_list = [range(10), [2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3]] + >>> for s in series_list: + ... g = nx.visibility_graph(s) + ... print(g) + Graph with 10 nodes and 9 edges + Graph with 12 nodes and 18 edges + + References + ---------- + .. [1] Lacasa, Lucas, Bartolo Luque, Fernando Ballesteros, Jordi Luque, and Juan Carlos Nuno. + "From time series to complex networks: The visibility graph." Proceedings of the + National Academy of Sciences 105, no. 13 (2008): 4972-4975. + https://www.pnas.org/doi/10.1073/pnas.0709247105 + """ + + # Sequential values are always connected + G = nx.path_graph(len(series)) + nx.set_node_attributes(G, dict(enumerate(series)), "value") + + # Check all combinations of nodes n series + for (n1, t1), (n2, t2) in itertools.combinations(enumerate(series), 2): + # check if any value between obstructs line of sight + slope = (t2 - t1) / (n2 - n1) + offset = t2 - slope * n2 + + obstructed = any( + t >= slope * n + offset + for n, t in enumerate(series[n1 + 1 : n2], start=n1 + 1) + ) + + if not obstructed: + G.add_edge(n1, n2) + + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/trees.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/trees.py new file mode 100644 index 0000000000000000000000000000000000000000..30849a8d4884603b766fc7954cc310afe7338fa2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/trees.py @@ -0,0 +1,1071 @@ +"""Functions for generating trees. + +The functions sampling trees at random in this module come +in two variants: labeled and unlabeled. The labeled variants +sample from every possible tree with the given number of nodes +uniformly at random. The unlabeled variants sample from every +possible *isomorphism class* of trees with the given number +of nodes uniformly at random. + +To understand the difference, consider the following example. +There are two isomorphism classes of trees with four nodes. +One is that of the path graph, the other is that of the +star graph. The unlabeled variant will return a line graph or +a star graph with probability 1/2. + +The labeled variant will return the line graph +with probability 3/4 and the star graph with probability 1/4, +because there are more labeled variants of the line graph +than of the star graph. More precisely, the line graph has +an automorphism group of order 2, whereas the star graph has +an automorphism group of order 6, so the line graph has three +times as many labeled variants as the star graph, and thus +three more chances to be drawn. + +Additionally, some functions in this module can sample rooted +trees and forests uniformly at random. A rooted tree is a tree +with a designated root node. A rooted forest is a disjoint union +of rooted trees. +""" + +import warnings +from collections import Counter, defaultdict +from math import comb, factorial + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = [ + "prefix_tree", + "prefix_tree_recursive", + "random_labeled_tree", + "random_labeled_rooted_tree", + "random_labeled_rooted_forest", + "random_unlabeled_tree", + "random_unlabeled_rooted_tree", + "random_unlabeled_rooted_forest", +] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def prefix_tree(paths): + """Creates a directed prefix tree from a list of paths. + + Usually the paths are described as strings or lists of integers. + + A "prefix tree" represents the prefix structure of the strings. + Each node represents a prefix of some string. The root represents + the empty prefix with children for the single letter prefixes which + in turn have children for each double letter prefix starting with + the single letter corresponding to the parent node, and so on. + + More generally the prefixes do not need to be strings. A prefix refers + to the start of a sequence. The root has children for each one element + prefix and they have children for each two element prefix that starts + with the one element sequence of the parent, and so on. + + Note that this implementation uses integer nodes with an attribute. + Each node has an attribute "source" whose value is the original element + of the path to which this node corresponds. For example, suppose `paths` + consists of one path: "can". Then the nodes `[1, 2, 3]` which represent + this path have "source" values "c", "a" and "n". + + All the descendants of a node have a common prefix in the sequence/path + associated with that node. From the returned tree, the prefix for each + node can be constructed by traversing the tree up to the root and + accumulating the "source" values along the way. + + The root node is always `0` and has "source" attribute `None`. + The root is the only node with in-degree zero. + The nil node is always `-1` and has "source" attribute `"NIL"`. + The nil node is the only node with out-degree zero. + + + Parameters + ---------- + paths: iterable of paths + An iterable of paths which are themselves sequences. + Matching prefixes among these sequences are identified with + nodes of the prefix tree. One leaf of the tree is associated + with each path. (Identical paths are associated with the same + leaf of the tree.) + + + Returns + ------- + tree: DiGraph + A directed graph representing an arborescence consisting of the + prefix tree generated by `paths`. Nodes are directed "downward", + from parent to child. A special "synthetic" root node is added + to be the parent of the first node in each path. A special + "synthetic" leaf node, the "nil" node `-1`, is added to be the child + of all nodes representing the last element in a path. (The + addition of this nil node technically makes this not an + arborescence but a directed acyclic graph; removing the nil node + makes it an arborescence.) + + + Notes + ----- + The prefix tree is also known as a *trie*. + + + Examples + -------- + Create a prefix tree from a list of strings with common prefixes:: + + >>> paths = ["ab", "abs", "ad"] + >>> T = nx.prefix_tree(paths) + >>> list(T.edges) + [(0, 1), (1, 2), (1, 4), (2, -1), (2, 3), (3, -1), (4, -1)] + + The leaf nodes can be obtained as predecessors of the nil node:: + + >>> root, NIL = 0, -1 + >>> list(T.predecessors(NIL)) + [2, 3, 4] + + To recover the original paths that generated the prefix tree, + traverse up the tree from the node `-1` to the node `0`:: + + >>> recovered = [] + >>> for v in T.predecessors(NIL): + ... prefix = "" + ... while v != root: + ... prefix = str(T.nodes[v]["source"]) + prefix + ... v = next(T.predecessors(v)) # only one predecessor + ... recovered.append(prefix) + >>> sorted(recovered) + ['ab', 'abs', 'ad'] + """ + + def get_children(parent, paths): + children = defaultdict(list) + # Populate dictionary with key(s) as the child/children of the root and + # value(s) as the remaining paths of the corresponding child/children + for path in paths: + # If path is empty, we add an edge to the NIL node. + if not path: + tree.add_edge(parent, NIL) + continue + child, *rest = path + # `child` may exist as the head of more than one path in `paths`. + children[child].append(rest) + return children + + # Initialize the prefix tree with a root node and a nil node. + tree = nx.DiGraph() + root = 0 + tree.add_node(root, source=None) + NIL = -1 + tree.add_node(NIL, source="NIL") + children = get_children(root, paths) + stack = [(root, iter(children.items()))] + while stack: + parent, remaining_children = stack[-1] + try: + child, remaining_paths = next(remaining_children) + # Pop item off stack if there are no remaining children + except StopIteration: + stack.pop() + continue + # We relabel each child with an unused name. + new_name = len(tree) - 1 + # The "source" node attribute stores the original node name. + tree.add_node(new_name, source=child) + tree.add_edge(parent, new_name) + children = get_children(new_name, remaining_paths) + stack.append((new_name, iter(children.items()))) + + return tree + + +@nx._dispatchable(graphs=None, returns_graph=True) +def prefix_tree_recursive(paths): + """Recursively creates a directed prefix tree from a list of paths. + + The original recursive version of prefix_tree for comparison. It is + the same algorithm but the recursion is unrolled onto a stack. + + Usually the paths are described as strings or lists of integers. + + A "prefix tree" represents the prefix structure of the strings. + Each node represents a prefix of some string. The root represents + the empty prefix with children for the single letter prefixes which + in turn have children for each double letter prefix starting with + the single letter corresponding to the parent node, and so on. + + More generally the prefixes do not need to be strings. A prefix refers + to the start of a sequence. The root has children for each one element + prefix and they have children for each two element prefix that starts + with the one element sequence of the parent, and so on. + + Note that this implementation uses integer nodes with an attribute. + Each node has an attribute "source" whose value is the original element + of the path to which this node corresponds. For example, suppose `paths` + consists of one path: "can". Then the nodes `[1, 2, 3]` which represent + this path have "source" values "c", "a" and "n". + + All the descendants of a node have a common prefix in the sequence/path + associated with that node. From the returned tree, ehe prefix for each + node can be constructed by traversing the tree up to the root and + accumulating the "source" values along the way. + + The root node is always `0` and has "source" attribute `None`. + The root is the only node with in-degree zero. + The nil node is always `-1` and has "source" attribute `"NIL"`. + The nil node is the only node with out-degree zero. + + + Parameters + ---------- + paths: iterable of paths + An iterable of paths which are themselves sequences. + Matching prefixes among these sequences are identified with + nodes of the prefix tree. One leaf of the tree is associated + with each path. (Identical paths are associated with the same + leaf of the tree.) + + + Returns + ------- + tree: DiGraph + A directed graph representing an arborescence consisting of the + prefix tree generated by `paths`. Nodes are directed "downward", + from parent to child. A special "synthetic" root node is added + to be the parent of the first node in each path. A special + "synthetic" leaf node, the "nil" node `-1`, is added to be the child + of all nodes representing the last element in a path. (The + addition of this nil node technically makes this not an + arborescence but a directed acyclic graph; removing the nil node + makes it an arborescence.) + + + Notes + ----- + The prefix tree is also known as a *trie*. + + + Examples + -------- + Create a prefix tree from a list of strings with common prefixes:: + + >>> paths = ["ab", "abs", "ad"] + >>> T = nx.prefix_tree(paths) + >>> list(T.edges) + [(0, 1), (1, 2), (1, 4), (2, -1), (2, 3), (3, -1), (4, -1)] + + The leaf nodes can be obtained as predecessors of the nil node. + + >>> root, NIL = 0, -1 + >>> list(T.predecessors(NIL)) + [2, 3, 4] + + To recover the original paths that generated the prefix tree, + traverse up the tree from the node `-1` to the node `0`:: + + >>> recovered = [] + >>> for v in T.predecessors(NIL): + ... prefix = "" + ... while v != root: + ... prefix = str(T.nodes[v]["source"]) + prefix + ... v = next(T.predecessors(v)) # only one predecessor + ... recovered.append(prefix) + >>> sorted(recovered) + ['ab', 'abs', 'ad'] + """ + + def _helper(paths, root, tree): + """Recursively create a trie from the given list of paths. + + `paths` is a list of paths, each of which is itself a list of + nodes, relative to the given `root` (but not including it). This + list of paths will be interpreted as a tree-like structure, in + which two paths that share a prefix represent two branches of + the tree with the same initial segment. + + `root` is the parent of the node at index 0 in each path. + + `tree` is the "accumulator", the :class:`networkx.DiGraph` + representing the branching to which the new nodes and edges will + be added. + + """ + # For each path, remove the first node and make it a child of root. + # Any remaining paths then get processed recursively. + children = defaultdict(list) + for path in paths: + # If path is empty, we add an edge to the NIL node. + if not path: + tree.add_edge(root, NIL) + continue + child, *rest = path + # `child` may exist as the head of more than one path in `paths`. + children[child].append(rest) + # Add a node for each child, connect root, recurse to remaining paths + for child, remaining_paths in children.items(): + # We relabel each child with an unused name. + new_name = len(tree) - 1 + # The "source" node attribute stores the original node name. + tree.add_node(new_name, source=child) + tree.add_edge(root, new_name) + _helper(remaining_paths, new_name, tree) + + # Initialize the prefix tree with a root node and a nil node. + tree = nx.DiGraph() + root = 0 + tree.add_node(root, source=None) + NIL = -1 + tree.add_node(NIL, source="NIL") + # Populate the tree. + _helper(paths, root, tree) + return tree + + +@py_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def random_labeled_tree(n, *, seed=None): + """Returns a labeled tree on `n` nodes chosen uniformly at random. + + Generating uniformly distributed random Prüfer sequences and + converting them into the corresponding trees is a straightforward + method of generating uniformly distributed random labeled trees. + This function implements this method. + + Parameters + ---------- + n : int + The number of nodes, greater than zero. + seed : random_state + Indicator of random number generation state. + See :ref:`Randomness` + + Returns + ------- + :class:`networkx.Graph` + A `networkx.Graph` with nodes in the set {0, …, *n* - 1}. + + Raises + ------ + NetworkXPointlessConcept + If `n` is zero (because the null graph is not a tree). + + Examples + -------- + >>> G = nx.random_labeled_tree(5, seed=42) + >>> nx.is_tree(G) + True + >>> G.edges + EdgeView([(0, 1), (0, 3), (0, 2), (2, 4)]) + + A tree with *arbitrarily directed* edges can be created by assigning + generated edges to a ``DiGraph``: + + >>> DG = nx.DiGraph() + >>> DG.add_edges_from(G.edges) + >>> nx.is_tree(DG) + True + >>> DG.edges + OutEdgeView([(0, 1), (0, 3), (0, 2), (2, 4)]) + """ + # Cannot create a Prüfer sequence unless `n` is at least two. + if n == 0: + raise nx.NetworkXPointlessConcept("the null graph is not a tree") + if n == 1: + return nx.empty_graph(1) + return nx.from_prufer_sequence([seed.choice(range(n)) for i in range(n - 2)]) + + +@py_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def random_labeled_rooted_tree(n, *, seed=None): + """Returns a labeled rooted tree with `n` nodes. + + The returned tree is chosen uniformly at random from all labeled rooted trees. + + Parameters + ---------- + n : int + The number of nodes + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + :class:`networkx.Graph` + A `networkx.Graph` with integer nodes 0 <= node <= `n` - 1. + The root of the tree is selected uniformly from the nodes. + The "root" graph attribute identifies the root of the tree. + + Notes + ----- + This function returns the result of :func:`random_labeled_tree` + with a randomly selected root. + + Raises + ------ + NetworkXPointlessConcept + If `n` is zero (because the null graph is not a tree). + """ + t = random_labeled_tree(n, seed=seed) + t.graph["root"] = seed.randint(0, n - 1) + return t + + +@py_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def random_labeled_rooted_forest(n, *, seed=None): + """Returns a labeled rooted forest with `n` nodes. + + The returned forest is chosen uniformly at random using a + generalization of Prüfer sequences [1]_ in the form described in [2]_. + + Parameters + ---------- + n : int + The number of nodes. + seed : random_state + See :ref:`Randomness`. + + Returns + ------- + :class:`networkx.Graph` + A `networkx.Graph` with integer nodes 0 <= node <= `n` - 1. + The "roots" graph attribute is a set of integers containing the roots. + + References + ---------- + .. [1] Knuth, Donald E. "Another Enumeration of Trees." + Canadian Journal of Mathematics, 20 (1968): 1077-1086. + https://doi.org/10.4153/CJM-1968-104-8 + .. [2] Rubey, Martin. "Counting Spanning Trees". Diplomarbeit + zur Erlangung des akademischen Grades Magister der + Naturwissenschaften an der Formal- und Naturwissenschaftlichen + Fakultät der Universität Wien. Wien, May 2000. + """ + + # Select the number of roots by iterating over the cumulative count of trees + # with at most k roots + def _select_k(n, seed): + r = seed.randint(0, (n + 1) ** (n - 1) - 1) + cum_sum = 0 + for k in range(1, n): + cum_sum += (factorial(n - 1) * n ** (n - k)) // ( + factorial(k - 1) * factorial(n - k) + ) + if r < cum_sum: + return k + + return n + + F = nx.empty_graph(n) + if n == 0: + F.graph["roots"] = {} + return F + # Select the number of roots k + k = _select_k(n, seed) + if k == n: + F.graph["roots"] = set(range(n)) + return F # Nothing to do + # Select the roots + roots = seed.sample(range(n), k) + # Nonroots + p = set(range(n)).difference(roots) + # Coding sequence + N = [seed.randint(0, n - 1) for i in range(n - k - 1)] + # Multiset of elements in N also in p + degree = Counter([x for x in N if x in p]) + # Iterator over the elements of p with degree zero + iterator = iter(x for x in p if degree[x] == 0) + u = last = next(iterator) + # This loop is identical to that for Prüfer sequences, + # except that we can draw nodes only from p + for v in N: + F.add_edge(u, v) + degree[v] -= 1 + if v < last and degree[v] == 0: + u = v + else: + last = u = next(iterator) + + F.add_edge(u, roots[0]) + F.graph["roots"] = set(roots) + return F + + +# The following functions support generation of unlabeled trees and forests. + + +def _to_nx(edges, n_nodes, root=None, roots=None): + """ + Converts the (edges, n_nodes) input to a :class:`networkx.Graph`. + The (edges, n_nodes) input is a list of even length, where each pair + of consecutive integers represents an edge, and an integer `n_nodes`. + Integers in the list are elements of `range(n_nodes)`. + + Parameters + ---------- + edges : list of ints + The flattened list of edges of the graph. + n_nodes : int + The number of nodes of the graph. + root: int (default=None) + If not None, the "root" attribute of the graph will be set to this value. + roots: collection of ints (default=None) + If not None, he "roots" attribute of the graph will be set to this value. + + Returns + ------- + :class:`networkx.Graph` + The graph with `n_nodes` nodes and edges given by `edges`. + """ + G = nx.empty_graph(n_nodes) + G.add_edges_from(edges) + if root is not None: + G.graph["root"] = root + if roots is not None: + G.graph["roots"] = roots + return G + + +def _num_rooted_trees(n, cache_trees): + """Returns the number of unlabeled rooted trees with `n` nodes. + + See also https://oeis.org/A000081. + + Parameters + ---------- + n : int + The number of nodes + cache_trees : list of ints + The $i$-th element is the number of unlabeled rooted trees with $i$ nodes, + which is used as a cache (and is extended to length $n+1$ if needed) + + Returns + ------- + int + The number of unlabeled rooted trees with `n` nodes. + """ + for n_i in range(len(cache_trees), n + 1): + cache_trees.append( + sum( + [ + d * cache_trees[n_i - j * d] * cache_trees[d] + for d in range(1, n_i) + for j in range(1, (n_i - 1) // d + 1) + ] + ) + // (n_i - 1) + ) + return cache_trees[n] + + +def _select_jd_trees(n, cache_trees, seed): + """Returns a pair $(j,d)$ with a specific probability + + Given $n$, returns a pair of positive integers $(j,d)$ with the probability + specified in formula (5) of Chapter 29 of [1]_. + + Parameters + ---------- + n : int + The number of nodes + cache_trees : list of ints + Cache for :func:`_num_rooted_trees`. + seed : random_state + See :ref:`Randomness`. + + Returns + ------- + (int, int) + A pair of positive integers $(j,d)$ satisfying formula (5) of + Chapter 29 of [1]_. + + References + ---------- + .. [1] Nijenhuis, Albert, and Wilf, Herbert S. + "Combinatorial algorithms: for computers and calculators." + Academic Press, 1978. + https://doi.org/10.1016/C2013-0-11243-3 + """ + p = seed.randint(0, _num_rooted_trees(n, cache_trees) * (n - 1) - 1) + cumsum = 0 + for d in range(n - 1, 0, -1): + for j in range(1, (n - 1) // d + 1): + cumsum += ( + d + * _num_rooted_trees(n - j * d, cache_trees) + * _num_rooted_trees(d, cache_trees) + ) + if p < cumsum: + return (j, d) + + +def _random_unlabeled_rooted_tree(n, cache_trees, seed): + """Returns an unlabeled rooted tree with `n` nodes. + + Returns an unlabeled rooted tree with `n` nodes chosen uniformly + at random using the "RANRUT" algorithm from [1]_. + The tree is returned in the form: (list_of_edges, number_of_nodes) + + Parameters + ---------- + n : int + The number of nodes, greater than zero. + cache_trees : list ints + Cache for :func:`_num_rooted_trees`. + seed : random_state + See :ref:`Randomness`. + + Returns + ------- + (list_of_edges, number_of_nodes) : list, int + A random unlabeled rooted tree with `n` nodes as a 2-tuple + ``(list_of_edges, number_of_nodes)``. + The root is node 0. + + References + ---------- + .. [1] Nijenhuis, Albert, and Wilf, Herbert S. + "Combinatorial algorithms: for computers and calculators." + Academic Press, 1978. + https://doi.org/10.1016/C2013-0-11243-3 + """ + if n == 1: + edges, n_nodes = [], 1 + return edges, n_nodes + if n == 2: + edges, n_nodes = [(0, 1)], 2 + return edges, n_nodes + + j, d = _select_jd_trees(n, cache_trees, seed) + t1, t1_nodes = _random_unlabeled_rooted_tree(n - j * d, cache_trees, seed) + t2, t2_nodes = _random_unlabeled_rooted_tree(d, cache_trees, seed) + t12 = [(0, t2_nodes * i + t1_nodes) for i in range(j)] + t1.extend(t12) + for _ in range(j): + t1.extend((n1 + t1_nodes, n2 + t1_nodes) for n1, n2 in t2) + t1_nodes += t2_nodes + + return t1, t1_nodes + + +@py_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def random_unlabeled_rooted_tree(n, *, number_of_trees=None, seed=None): + """Returns a number of unlabeled rooted trees uniformly at random + + Returns one or more (depending on `number_of_trees`) + unlabeled rooted trees with `n` nodes drawn uniformly + at random. + + Parameters + ---------- + n : int + The number of nodes + number_of_trees : int or None (default) + If not None, this number of trees is generated and returned. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + :class:`networkx.Graph` or list of :class:`networkx.Graph` + A single `networkx.Graph` (or a list thereof, if `number_of_trees` + is specified) with nodes in the set {0, …, *n* - 1}. + The "root" graph attribute identifies the root of the tree. + + Notes + ----- + The trees are generated using the "RANRUT" algorithm from [1]_. + The algorithm needs to compute some counting functions + that are relatively expensive: in case several trees are needed, + it is advisable to use the `number_of_trees` optional argument + to reuse the counting functions. + + Raises + ------ + NetworkXPointlessConcept + If `n` is zero (because the null graph is not a tree). + + References + ---------- + .. [1] Nijenhuis, Albert, and Wilf, Herbert S. + "Combinatorial algorithms: for computers and calculators." + Academic Press, 1978. + https://doi.org/10.1016/C2013-0-11243-3 + """ + if n == 0: + raise nx.NetworkXPointlessConcept("the null graph is not a tree") + cache_trees = [0, 1] # initial cache of number of rooted trees + if number_of_trees is None: + return _to_nx(*_random_unlabeled_rooted_tree(n, cache_trees, seed), root=0) + return [ + _to_nx(*_random_unlabeled_rooted_tree(n, cache_trees, seed), root=0) + for i in range(number_of_trees) + ] + + +def _num_rooted_forests(n, q, cache_forests): + """Returns the number of unlabeled rooted forests with `n` nodes, and with + no more than `q` nodes per tree. A recursive formula for this is (2) in + [1]_. This function is implemented using dynamic programming instead of + recursion. + + Parameters + ---------- + n : int + The number of nodes. + q : int + The maximum number of nodes for each tree of the forest. + cache_forests : list of ints + The $i$-th element is the number of unlabeled rooted forests with + $i$ nodes, and with no more than `q` nodes per tree; this is used + as a cache (and is extended to length `n` + 1 if needed). + + Returns + ------- + int + The number of unlabeled rooted forests with `n` nodes with no more than + `q` nodes per tree. + + References + ---------- + .. [1] Wilf, Herbert S. "The uniform selection of free trees." + Journal of Algorithms 2.2 (1981): 204-207. + https://doi.org/10.1016/0196-6774(81)90021-3 + """ + for n_i in range(len(cache_forests), n + 1): + q_i = min(n_i, q) + cache_forests.append( + sum( + [ + d * cache_forests[n_i - j * d] * cache_forests[d - 1] + for d in range(1, q_i + 1) + for j in range(1, n_i // d + 1) + ] + ) + // n_i + ) + + return cache_forests[n] + + +def _select_jd_forests(n, q, cache_forests, seed): + """Given `n` and `q`, returns a pair of positive integers $(j,d)$ + such that $j\\leq d$, with probability satisfying (F1) of [1]_. + + Parameters + ---------- + n : int + The number of nodes. + q : int + The maximum number of nodes for each tree of the forest. + cache_forests : list of ints + Cache for :func:`_num_rooted_forests`. + seed : random_state + See :ref:`Randomness`. + + Returns + ------- + (int, int) + A pair of positive integers $(j,d)$ + + References + ---------- + .. [1] Wilf, Herbert S. "The uniform selection of free trees." + Journal of Algorithms 2.2 (1981): 204-207. + https://doi.org/10.1016/0196-6774(81)90021-3 + """ + p = seed.randint(0, _num_rooted_forests(n, q, cache_forests) * n - 1) + cumsum = 0 + for d in range(q, 0, -1): + for j in range(1, n // d + 1): + cumsum += ( + d + * _num_rooted_forests(n - j * d, q, cache_forests) + * _num_rooted_forests(d - 1, q, cache_forests) + ) + if p < cumsum: + return (j, d) + + +def _random_unlabeled_rooted_forest(n, q, cache_trees, cache_forests, seed): + """Returns an unlabeled rooted forest with `n` nodes, and with no more + than `q` nodes per tree, drawn uniformly at random. It is an implementation + of the algorithm "Forest" of [1]_. + + Parameters + ---------- + n : int + The number of nodes. + q : int + The maximum number of nodes per tree. + cache_trees : + Cache for :func:`_num_rooted_trees`. + cache_forests : + Cache for :func:`_num_rooted_forests`. + seed : random_state + See :ref:`Randomness`. + + Returns + ------- + (edges, n, r) : (list, int, list) + The forest (edges, n) and a list r of root nodes. + + References + ---------- + .. [1] Wilf, Herbert S. "The uniform selection of free trees." + Journal of Algorithms 2.2 (1981): 204-207. + https://doi.org/10.1016/0196-6774(81)90021-3 + """ + if n == 0: + return ([], 0, []) + + j, d = _select_jd_forests(n, q, cache_forests, seed) + t1, t1_nodes, r1 = _random_unlabeled_rooted_forest( + n - j * d, q, cache_trees, cache_forests, seed + ) + t2, t2_nodes = _random_unlabeled_rooted_tree(d, cache_trees, seed) + for _ in range(j): + r1.append(t1_nodes) + t1.extend((n1 + t1_nodes, n2 + t1_nodes) for n1, n2 in t2) + t1_nodes += t2_nodes + return t1, t1_nodes, r1 + + +@py_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def random_unlabeled_rooted_forest(n, *, q=None, number_of_forests=None, seed=None): + """Returns a forest or list of forests selected at random. + + Returns one or more (depending on `number_of_forests`) + unlabeled rooted forests with `n` nodes, and with no more than + `q` nodes per tree, drawn uniformly at random. + The "roots" graph attribute identifies the roots of the forest. + + Parameters + ---------- + n : int + The number of nodes + q : int or None (default) + The maximum number of nodes per tree. + number_of_forests : int or None (default) + If not None, this number of forests is generated and returned. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + :class:`networkx.Graph` or list of :class:`networkx.Graph` + A single `networkx.Graph` (or a list thereof, if `number_of_forests` + is specified) with nodes in the set {0, …, *n* - 1}. + The "roots" graph attribute is a set containing the roots + of the trees in the forest. + + Notes + ----- + This function implements the algorithm "Forest" of [1]_. + The algorithm needs to compute some counting functions + that are relatively expensive: in case several trees are needed, + it is advisable to use the `number_of_forests` optional argument + to reuse the counting functions. + + Raises + ------ + ValueError + If `n` is non-zero but `q` is zero. + + References + ---------- + .. [1] Wilf, Herbert S. "The uniform selection of free trees." + Journal of Algorithms 2.2 (1981): 204-207. + https://doi.org/10.1016/0196-6774(81)90021-3 + """ + if q is None: + q = n + if q == 0 and n != 0: + raise ValueError("q must be a positive integer if n is positive.") + + cache_trees = [0, 1] # initial cache of number of rooted trees + cache_forests = [1] # initial cache of number of rooted forests + + if number_of_forests is None: + g, nodes, rs = _random_unlabeled_rooted_forest( + n, q, cache_trees, cache_forests, seed + ) + return _to_nx(g, nodes, roots=set(rs)) + + res = [] + for i in range(number_of_forests): + g, nodes, rs = _random_unlabeled_rooted_forest( + n, q, cache_trees, cache_forests, seed + ) + res.append(_to_nx(g, nodes, roots=set(rs))) + return res + + +def _num_trees(n, cache_trees): + """Returns the number of unlabeled trees with `n` nodes. + + See also https://oeis.org/A000055. + + Parameters + ---------- + n : int + The number of nodes. + cache_trees : list of ints + Cache for :func:`_num_rooted_trees`. + + Returns + ------- + int + The number of unlabeled trees with `n` nodes. + """ + r = _num_rooted_trees(n, cache_trees) - sum( + [ + _num_rooted_trees(j, cache_trees) * _num_rooted_trees(n - j, cache_trees) + for j in range(1, n // 2 + 1) + ] + ) + if n % 2 == 0: + r += comb(_num_rooted_trees(n // 2, cache_trees) + 1, 2) + return r + + +def _bicenter(n, cache, seed): + """Returns a bi-centroidal tree on `n` nodes drawn uniformly at random. + + This function implements the algorithm Bicenter of [1]_. + + Parameters + ---------- + n : int + The number of nodes (must be even). + cache : list of ints. + Cache for :func:`_num_rooted_trees`. + seed : random_state + See :ref:`Randomness` + + Returns + ------- + (edges, n) + The tree as a list of edges and number of nodes. + + References + ---------- + .. [1] Wilf, Herbert S. "The uniform selection of free trees." + Journal of Algorithms 2.2 (1981): 204-207. + https://doi.org/10.1016/0196-6774(81)90021-3 + """ + t, t_nodes = _random_unlabeled_rooted_tree(n // 2, cache, seed) + if seed.randint(0, _num_rooted_trees(n // 2, cache)) == 0: + t2, t2_nodes = t, t_nodes + else: + t2, t2_nodes = _random_unlabeled_rooted_tree(n // 2, cache, seed) + t.extend([(n1 + (n // 2), n2 + (n // 2)) for n1, n2 in t2]) + t.append((0, n // 2)) + return t, t_nodes + t2_nodes + + +def _random_unlabeled_tree(n, cache_trees, cache_forests, seed): + """Returns a tree on `n` nodes drawn uniformly at random. + It implements the Wilf's algorithm "Free" of [1]_. + + Parameters + ---------- + n : int + The number of nodes, greater than zero. + cache_trees : list of ints + Cache for :func:`_num_rooted_trees`. + cache_forests : list of ints + Cache for :func:`_num_rooted_forests`. + seed : random_state + Indicator of random number generation state. + See :ref:`Randomness` + + Returns + ------- + (edges, n) + The tree as a list of edges and number of nodes. + + References + ---------- + .. [1] Wilf, Herbert S. "The uniform selection of free trees." + Journal of Algorithms 2.2 (1981): 204-207. + https://doi.org/10.1016/0196-6774(81)90021-3 + """ + if n % 2 == 1: + p = 0 + else: + p = comb(_num_rooted_trees(n // 2, cache_trees) + 1, 2) + if seed.randint(0, _num_trees(n, cache_trees) - 1) < p: + return _bicenter(n, cache_trees, seed) + else: + f, n_f, r = _random_unlabeled_rooted_forest( + n - 1, (n - 1) // 2, cache_trees, cache_forests, seed + ) + for i in r: + f.append((i, n_f)) + return f, n_f + 1 + + +@py_random_state("seed") +@nx._dispatchable(graphs=None, returns_graph=True) +def random_unlabeled_tree(n, *, number_of_trees=None, seed=None): + """Returns a tree or list of trees chosen randomly. + + Returns one or more (depending on `number_of_trees`) + unlabeled trees with `n` nodes drawn uniformly at random. + + Parameters + ---------- + n : int + The number of nodes + number_of_trees : int or None (default) + If not None, this number of trees is generated and returned. + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + :class:`networkx.Graph` or list of :class:`networkx.Graph` + A single `networkx.Graph` (or a list thereof, if + `number_of_trees` is specified) with nodes in the set {0, …, *n* - 1}. + + Raises + ------ + NetworkXPointlessConcept + If `n` is zero (because the null graph is not a tree). + + Notes + ----- + This function generates an unlabeled tree uniformly at random using + Wilf's algorithm "Free" of [1]_. The algorithm needs to + compute some counting functions that are relatively expensive: + in case several trees are needed, it is advisable to use the + `number_of_trees` optional argument to reuse the counting + functions. + + References + ---------- + .. [1] Wilf, Herbert S. "The uniform selection of free trees." + Journal of Algorithms 2.2 (1981): 204-207. + https://doi.org/10.1016/0196-6774(81)90021-3 + """ + if n == 0: + raise nx.NetworkXPointlessConcept("the null graph is not a tree") + + cache_trees = [0, 1] # initial cache of number of rooted trees + cache_forests = [1] # initial cache of number of rooted forests + if number_of_trees is None: + return _to_nx(*_random_unlabeled_tree(n, cache_trees, cache_forests, seed)) + else: + return [ + _to_nx(*_random_unlabeled_tree(n, cache_trees, cache_forests, seed)) + for i in range(number_of_trees) + ] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/triads.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/triads.py new file mode 100644 index 0000000000000000000000000000000000000000..09b722dd1bd49dddae16086115d170ec989f8b06 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/generators/triads.py @@ -0,0 +1,94 @@ +# See https://github.com/networkx/networkx/pull/1474 +# Copyright 2011 Reya Group +# Copyright 2011 Alex Levenson +# Copyright 2011 Diederik van Liere +"""Functions that generate the triad graphs, that is, the possible +digraphs on three nodes. + +""" + +import networkx as nx +from networkx.classes import DiGraph + +__all__ = ["triad_graph"] + +#: Dictionary mapping triad name to list of directed edges in the +#: digraph representation of that triad (with nodes 'a', 'b', and 'c'). +TRIAD_EDGES = { + "003": [], + "012": ["ab"], + "102": ["ab", "ba"], + "021D": ["ba", "bc"], + "021U": ["ab", "cb"], + "021C": ["ab", "bc"], + "111D": ["ac", "ca", "bc"], + "111U": ["ac", "ca", "cb"], + "030T": ["ab", "cb", "ac"], + "030C": ["ba", "cb", "ac"], + "201": ["ab", "ba", "ac", "ca"], + "120D": ["bc", "ba", "ac", "ca"], + "120U": ["ab", "cb", "ac", "ca"], + "120C": ["ab", "bc", "ac", "ca"], + "210": ["ab", "bc", "cb", "ac", "ca"], + "300": ["ab", "ba", "bc", "cb", "ac", "ca"], +} + + +@nx._dispatchable(graphs=None, returns_graph=True) +def triad_graph(triad_name): + """Returns the triad graph with the given name. + + Each string in the following tuple is a valid triad name:: + + ( + "003", + "012", + "102", + "021D", + "021U", + "021C", + "111D", + "111U", + "030T", + "030C", + "201", + "120D", + "120U", + "120C", + "210", + "300", + ) + + Each triad name corresponds to one of the possible valid digraph on + three nodes. + + Parameters + ---------- + triad_name : string + The name of a triad, as described above. + + Returns + ------- + :class:`~networkx.DiGraph` + The digraph on three nodes with the given name. The nodes of the + graph are the single-character strings 'a', 'b', and 'c'. + + Raises + ------ + ValueError + If `triad_name` is not the name of a triad. + + See also + -------- + triadic_census + + """ + if triad_name not in TRIAD_EDGES: + raise ValueError( + f'unknown triad name "{triad_name}"; use one of the triad names' + " in the TRIAD_NAMES constant" + ) + G = DiGraph() + G.add_nodes_from("abc") + G.add_edges_from(TRIAD_EDGES[triad_name]) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..119db185a1ae440fd2cdb6c7f531331642313c34 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/__init__.py @@ -0,0 +1,13 @@ +from networkx.linalg.attrmatrix import * +from networkx.linalg import attrmatrix +from networkx.linalg.spectrum import * +from networkx.linalg import spectrum +from networkx.linalg.graphmatrix import * +from networkx.linalg import graphmatrix +from networkx.linalg.laplacianmatrix import * +from networkx.linalg import laplacianmatrix +from networkx.linalg.algebraicconnectivity import * +from networkx.linalg.modularitymatrix import * +from networkx.linalg import modularitymatrix +from networkx.linalg.bethehessianmatrix import * +from networkx.linalg import bethehessianmatrix diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/algebraicconnectivity.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/algebraicconnectivity.py new file mode 100644 index 0000000000000000000000000000000000000000..c94972a5c335569992f1cf19be5f55097cbdffd9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/algebraicconnectivity.py @@ -0,0 +1,657 @@ +""" +Algebraic connectivity and Fiedler vectors of undirected graphs. +""" + +from functools import partial + +import networkx as nx +from networkx.utils import ( + not_implemented_for, + np_random_state, + reverse_cuthill_mckee_ordering, +) + +__all__ = [ + "algebraic_connectivity", + "fiedler_vector", + "spectral_ordering", + "spectral_bisection", +] + + +class _PCGSolver: + """Preconditioned conjugate gradient method. + + To solve Ax = b: + M = A.diagonal() # or some other preconditioner + solver = _PCGSolver(lambda x: A * x, lambda x: M * x) + x = solver.solve(b) + + The inputs A and M are functions which compute + matrix multiplication on the argument. + A - multiply by the matrix A in Ax=b + M - multiply by M, the preconditioner surrogate for A + + Warning: There is no limit on number of iterations. + """ + + def __init__(self, A, M): + self._A = A + self._M = M + + def solve(self, B, tol): + import numpy as np + + # Densifying step - can this be kept sparse? + B = np.asarray(B) + X = np.ndarray(B.shape, order="F") + for j in range(B.shape[1]): + X[:, j] = self._solve(B[:, j], tol) + return X + + def _solve(self, b, tol): + import numpy as np + import scipy as sp + + A = self._A + M = self._M + tol *= sp.linalg.blas.dasum(b) + # Initialize. + x = np.zeros(b.shape) + r = b.copy() + z = M(r) + rz = sp.linalg.blas.ddot(r, z) + p = z.copy() + # Iterate. + while True: + Ap = A(p) + alpha = rz / sp.linalg.blas.ddot(p, Ap) + x = sp.linalg.blas.daxpy(p, x, a=alpha) + r = sp.linalg.blas.daxpy(Ap, r, a=-alpha) + if sp.linalg.blas.dasum(r) < tol: + return x + z = M(r) + beta = sp.linalg.blas.ddot(r, z) + beta, rz = beta / rz, beta + p = sp.linalg.blas.daxpy(p, z, a=beta) + + +class _LUSolver: + """LU factorization. + + To solve Ax = b: + solver = _LUSolver(A) + x = solver.solve(b) + + optional argument `tol` on solve method is ignored but included + to match _PCGsolver API. + """ + + def __init__(self, A): + import scipy as sp + + self._LU = sp.sparse.linalg.splu( + A, + permc_spec="MMD_AT_PLUS_A", + diag_pivot_thresh=0.0, + options={"Equil": True, "SymmetricMode": True}, + ) + + def solve(self, B, tol=None): + import numpy as np + + B = np.asarray(B) + X = np.ndarray(B.shape, order="F") + for j in range(B.shape[1]): + X[:, j] = self._LU.solve(B[:, j]) + return X + + +def _preprocess_graph(G, weight): + """Compute edge weights and eliminate zero-weight edges.""" + if G.is_directed(): + H = nx.MultiGraph() + H.add_nodes_from(G) + H.add_weighted_edges_from( + ((u, v, e.get(weight, 1.0)) for u, v, e in G.edges(data=True) if u != v), + weight=weight, + ) + G = H + if not G.is_multigraph(): + edges = ( + (u, v, abs(e.get(weight, 1.0))) for u, v, e in G.edges(data=True) if u != v + ) + else: + edges = ( + (u, v, sum(abs(e.get(weight, 1.0)) for e in G[u][v].values())) + for u, v in G.edges() + if u != v + ) + H = nx.Graph() + H.add_nodes_from(G) + H.add_weighted_edges_from((u, v, e) for u, v, e in edges if e != 0) + return H + + +def _rcm_estimate(G, nodelist): + """Estimate the Fiedler vector using the reverse Cuthill-McKee ordering.""" + import numpy as np + + G = G.subgraph(nodelist) + order = reverse_cuthill_mckee_ordering(G) + n = len(nodelist) + index = dict(zip(nodelist, range(n))) + x = np.ndarray(n, dtype=float) + for i, u in enumerate(order): + x[index[u]] = i + x -= (n - 1) / 2.0 + return x + + +def _tracemin_fiedler(L, X, normalized, tol, method): + """Compute the Fiedler vector of L using the TraceMIN-Fiedler algorithm. + + The Fiedler vector of a connected undirected graph is the eigenvector + corresponding to the second smallest eigenvalue of the Laplacian matrix + of the graph. This function starts with the Laplacian L, not the Graph. + + Parameters + ---------- + L : Laplacian of a possibly weighted or normalized, but undirected graph + + X : Initial guess for a solution. Usually a matrix of random numbers. + This function allows more than one column in X to identify more than + one eigenvector if desired. + + normalized : bool + Whether the normalized Laplacian matrix is used. + + tol : float + Tolerance of relative residual in eigenvalue computation. + Warning: There is no limit on number of iterations. + + method : string + Should be 'tracemin_pcg' or 'tracemin_lu'. + Otherwise exception is raised. + + Returns + ------- + sigma, X : Two NumPy arrays of floats. + The lowest eigenvalues and corresponding eigenvectors of L. + The size of input X determines the size of these outputs. + As this is for Fiedler vectors, the zero eigenvalue (and + constant eigenvector) are avoided. + """ + import numpy as np + import scipy as sp + + n = X.shape[0] + + if normalized: + # Form the normalized Laplacian matrix and determine the eigenvector of + # its nullspace. + e = np.sqrt(L.diagonal()) + # TODO: rm csr_array wrapper when spdiags array creation becomes available + D = sp.sparse.csr_array(sp.sparse.spdiags(1 / e, 0, n, n, format="csr")) + L = D @ L @ D + e *= 1.0 / np.linalg.norm(e, 2) + + if normalized: + + def project(X): + """Make X orthogonal to the nullspace of L.""" + X = np.asarray(X) + for j in range(X.shape[1]): + X[:, j] -= (X[:, j] @ e) * e + + else: + + def project(X): + """Make X orthogonal to the nullspace of L.""" + X = np.asarray(X) + for j in range(X.shape[1]): + X[:, j] -= X[:, j].sum() / n + + if method == "tracemin_pcg": + D = L.diagonal().astype(float) + solver = _PCGSolver(lambda x: L @ x, lambda x: D * x) + elif method == "tracemin_lu": + # Convert A to CSC to suppress SparseEfficiencyWarning. + A = sp.sparse.csc_array(L, dtype=float, copy=True) + # Force A to be nonsingular. Since A is the Laplacian matrix of a + # connected graph, its rank deficiency is one, and thus one diagonal + # element needs to modified. Changing to infinity forces a zero in the + # corresponding element in the solution. + i = (A.indptr[1:] - A.indptr[:-1]).argmax() + A[i, i] = np.inf + solver = _LUSolver(A) + else: + raise nx.NetworkXError(f"Unknown linear system solver: {method}") + + # Initialize. + Lnorm = abs(L).sum(axis=1).flatten().max() + project(X) + W = np.ndarray(X.shape, order="F") + + while True: + # Orthonormalize X. + X = np.linalg.qr(X)[0] + # Compute iteration matrix H. + W[:, :] = L @ X + H = X.T @ W + sigma, Y = sp.linalg.eigh(H, overwrite_a=True) + # Compute the Ritz vectors. + X = X @ Y + # Test for convergence exploiting the fact that L * X == W * Y. + res = sp.linalg.blas.dasum(W @ Y[:, 0] - sigma[0] * X[:, 0]) / Lnorm + if res < tol: + break + # Compute X = L \ X / (X' * (L \ X)). + # L \ X can have an arbitrary projection on the nullspace of L, + # which will be eliminated. + W[:, :] = solver.solve(X, tol) + X = (sp.linalg.inv(W.T @ X) @ W.T).T # Preserves Fortran storage order. + project(X) + + return sigma, np.asarray(X) + + +def _get_fiedler_func(method): + """Returns a function that solves the Fiedler eigenvalue problem.""" + import numpy as np + + if method == "tracemin": # old style keyword `. + + Returns + ------- + algebraic_connectivity : float + Algebraic connectivity. + + Raises + ------ + NetworkXNotImplemented + If G is directed. + + NetworkXError + If G has less than two nodes. + + Notes + ----- + Edge weights are interpreted by their absolute values. For MultiGraph's, + weights of parallel edges are summed. Zero-weighted edges are ignored. + + See Also + -------- + laplacian_matrix + + Examples + -------- + For undirected graphs algebraic connectivity can tell us if a graph is connected or not + `G` is connected iff ``algebraic_connectivity(G) > 0``: + + >>> G = nx.complete_graph(5) + >>> nx.algebraic_connectivity(G) > 0 + True + >>> G.add_node(10) # G is no longer connected + >>> nx.algebraic_connectivity(G) > 0 + False + + """ + if len(G) < 2: + raise nx.NetworkXError("graph has less than two nodes.") + G = _preprocess_graph(G, weight) + if not nx.is_connected(G): + return 0.0 + + L = nx.laplacian_matrix(G) + if L.shape[0] == 2: + return 2.0 * float(L[0, 0]) if not normalized else 2.0 + + find_fiedler = _get_fiedler_func(method) + x = None if method != "lobpcg" else _rcm_estimate(G, G) + sigma, fiedler = find_fiedler(L, x, normalized, tol, seed) + return float(sigma) + + +@not_implemented_for("directed") +@np_random_state(5) +@nx._dispatchable(edge_attrs="weight") +def fiedler_vector( + G, weight="weight", normalized=False, tol=1e-8, method="tracemin_pcg", seed=None +): + """Returns the Fiedler vector of a connected undirected graph. + + The Fiedler vector of a connected undirected graph is the eigenvector + corresponding to the second smallest eigenvalue of the Laplacian matrix + of the graph. + + Parameters + ---------- + G : NetworkX graph + An undirected graph. + + weight : object, optional (default: None) + The data key used to determine the weight of each edge. If None, then + each edge has unit weight. + + normalized : bool, optional (default: False) + Whether the normalized Laplacian matrix is used. + + tol : float, optional (default: 1e-8) + Tolerance of relative residual in eigenvalue computation. + + method : string, optional (default: 'tracemin_pcg') + Method of eigenvalue computation. It must be one of the tracemin + options shown below (TraceMIN), 'lanczos' (Lanczos iteration) + or 'lobpcg' (LOBPCG). + + The TraceMIN algorithm uses a linear system solver. The following + values allow specifying the solver to be used. + + =============== ======================================== + Value Solver + =============== ======================================== + 'tracemin_pcg' Preconditioned conjugate gradient method + 'tracemin_lu' LU factorization + =============== ======================================== + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + fiedler_vector : NumPy array of floats. + Fiedler vector. + + Raises + ------ + NetworkXNotImplemented + If G is directed. + + NetworkXError + If G has less than two nodes or is not connected. + + Notes + ----- + Edge weights are interpreted by their absolute values. For MultiGraph's, + weights of parallel edges are summed. Zero-weighted edges are ignored. + + See Also + -------- + laplacian_matrix + + Examples + -------- + Given a connected graph the signs of the values in the Fiedler vector can be + used to partition the graph into two components. + + >>> G = nx.barbell_graph(5, 0) + >>> nx.fiedler_vector(G, normalized=True, seed=1) + array([-0.32864129, -0.32864129, -0.32864129, -0.32864129, -0.26072899, + 0.26072899, 0.32864129, 0.32864129, 0.32864129, 0.32864129]) + + The connected components are the two 5-node cliques of the barbell graph. + """ + import numpy as np + + if len(G) < 2: + raise nx.NetworkXError("graph has less than two nodes.") + G = _preprocess_graph(G, weight) + if not nx.is_connected(G): + raise nx.NetworkXError("graph is not connected.") + + if len(G) == 2: + return np.array([1.0, -1.0]) + + find_fiedler = _get_fiedler_func(method) + L = nx.laplacian_matrix(G) + x = None if method != "lobpcg" else _rcm_estimate(G, G) + sigma, fiedler = find_fiedler(L, x, normalized, tol, seed) + return fiedler + + +@np_random_state(5) +@nx._dispatchable(edge_attrs="weight") +def spectral_ordering( + G, weight="weight", normalized=False, tol=1e-8, method="tracemin_pcg", seed=None +): + """Compute the spectral_ordering of a graph. + + The spectral ordering of a graph is an ordering of its nodes where nodes + in the same weakly connected components appear contiguous and ordered by + their corresponding elements in the Fiedler vector of the component. + + Parameters + ---------- + G : NetworkX graph + A graph. + + weight : object, optional (default: None) + The data key used to determine the weight of each edge. If None, then + each edge has unit weight. + + normalized : bool, optional (default: False) + Whether the normalized Laplacian matrix is used. + + tol : float, optional (default: 1e-8) + Tolerance of relative residual in eigenvalue computation. + + method : string, optional (default: 'tracemin_pcg') + Method of eigenvalue computation. It must be one of the tracemin + options shown below (TraceMIN), 'lanczos' (Lanczos iteration) + or 'lobpcg' (LOBPCG). + + The TraceMIN algorithm uses a linear system solver. The following + values allow specifying the solver to be used. + + =============== ======================================== + Value Solver + =============== ======================================== + 'tracemin_pcg' Preconditioned conjugate gradient method + 'tracemin_lu' LU factorization + =============== ======================================== + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + spectral_ordering : NumPy array of floats. + Spectral ordering of nodes. + + Raises + ------ + NetworkXError + If G is empty. + + Notes + ----- + Edge weights are interpreted by their absolute values. For MultiGraph's, + weights of parallel edges are summed. Zero-weighted edges are ignored. + + See Also + -------- + laplacian_matrix + """ + if len(G) == 0: + raise nx.NetworkXError("graph is empty.") + G = _preprocess_graph(G, weight) + + find_fiedler = _get_fiedler_func(method) + order = [] + for component in nx.connected_components(G): + size = len(component) + if size > 2: + L = nx.laplacian_matrix(G, component) + x = None if method != "lobpcg" else _rcm_estimate(G, component) + sigma, fiedler = find_fiedler(L, x, normalized, tol, seed) + sort_info = zip(fiedler, range(size), component) + order.extend(u for x, c, u in sorted(sort_info)) + else: + order.extend(component) + + return order + + +@nx._dispatchable(edge_attrs="weight") +def spectral_bisection( + G, weight="weight", normalized=False, tol=1e-8, method="tracemin_pcg", seed=None +): + """Bisect the graph using the Fiedler vector. + + This method uses the Fiedler vector to bisect a graph. + The partition is defined by the nodes which are associated with + either positive or negative values in the vector. + + Parameters + ---------- + G : NetworkX Graph + + weight : str, optional (default: weight) + The data key used to determine the weight of each edge. If None, then + each edge has unit weight. + + normalized : bool, optional (default: False) + Whether the normalized Laplacian matrix is used. + + tol : float, optional (default: 1e-8) + Tolerance of relative residual in eigenvalue computation. + + method : string, optional (default: 'tracemin_pcg') + Method of eigenvalue computation. It must be one of the tracemin + options shown below (TraceMIN), 'lanczos' (Lanczos iteration) + or 'lobpcg' (LOBPCG). + + The TraceMIN algorithm uses a linear system solver. The following + values allow specifying the solver to be used. + + =============== ======================================== + Value Solver + =============== ======================================== + 'tracemin_pcg' Preconditioned conjugate gradient method + 'tracemin_lu' LU factorization + =============== ======================================== + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + bisection : tuple of sets + Sets with the bisection of nodes + + Examples + -------- + >>> G = nx.barbell_graph(3, 0) + >>> nx.spectral_bisection(G) + ({0, 1, 2}, {3, 4, 5}) + + References + ---------- + .. [1] M. E. J Newman 'Networks: An Introduction', pages 364-370 + Oxford University Press 2011. + """ + import numpy as np + + v = nx.fiedler_vector(G, weight, normalized, tol, method, seed) + nodes = np.array(list(G)) + pos_vals = v >= 0 + + return set(nodes[~pos_vals].tolist()), set(nodes[pos_vals].tolist()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/attrmatrix.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/attrmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..b5a70492807bd5e5ea8571c66b3a12af41ca4edd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/attrmatrix.py @@ -0,0 +1,465 @@ +""" +Functions for constructing matrix-like objects from graph attributes. +""" + +import networkx as nx + +__all__ = ["attr_matrix", "attr_sparse_matrix"] + + +def _node_value(G, node_attr): + """Returns a function that returns a value from G.nodes[u]. + + We return a function expecting a node as its sole argument. Then, in the + simplest scenario, the returned function will return G.nodes[u][node_attr]. + However, we also handle the case when `node_attr` is None or when it is a + function itself. + + Parameters + ---------- + G : graph + A NetworkX graph + + node_attr : {None, str, callable} + Specification of how the value of the node attribute should be obtained + from the node attribute dictionary. + + Returns + ------- + value : function + A function expecting a node as its sole argument. The function will + returns a value from G.nodes[u] that depends on `edge_attr`. + + """ + if node_attr is None: + + def value(u): + return u + + elif not callable(node_attr): + # assume it is a key for the node attribute dictionary + def value(u): + return G.nodes[u][node_attr] + + else: + # Advanced: Allow users to specify something else. + # + # For example, + # node_attr = lambda u: G.nodes[u].get('size', .5) * 3 + # + value = node_attr + + return value + + +def _edge_value(G, edge_attr): + """Returns a function that returns a value from G[u][v]. + + Suppose there exists an edge between u and v. Then we return a function + expecting u and v as arguments. For Graph and DiGraph, G[u][v] is + the edge attribute dictionary, and the function (essentially) returns + G[u][v][edge_attr]. However, we also handle cases when `edge_attr` is None + and when it is a function itself. For MultiGraph and MultiDiGraph, G[u][v] + is a dictionary of all edges between u and v. In this case, the returned + function sums the value of `edge_attr` for every edge between u and v. + + Parameters + ---------- + G : graph + A NetworkX graph + + edge_attr : {None, str, callable} + Specification of how the value of the edge attribute should be obtained + from the edge attribute dictionary, G[u][v]. For multigraphs, G[u][v] + is a dictionary of all the edges between u and v. This allows for + special treatment of multiedges. + + Returns + ------- + value : function + A function expecting two nodes as parameters. The nodes should + represent the from- and to- node of an edge. The function will + return a value from G[u][v] that depends on `edge_attr`. + + """ + + if edge_attr is None: + # topological count of edges + + if G.is_multigraph(): + + def value(u, v): + return len(G[u][v]) + + else: + + def value(u, v): + return 1 + + elif not callable(edge_attr): + # assume it is a key for the edge attribute dictionary + + if edge_attr == "weight": + # provide a default value + if G.is_multigraph(): + + def value(u, v): + return sum(d.get(edge_attr, 1) for d in G[u][v].values()) + + else: + + def value(u, v): + return G[u][v].get(edge_attr, 1) + + else: + # otherwise, the edge attribute MUST exist for each edge + if G.is_multigraph(): + + def value(u, v): + return sum(d[edge_attr] for d in G[u][v].values()) + + else: + + def value(u, v): + return G[u][v][edge_attr] + + else: + # Advanced: Allow users to specify something else. + # + # Alternative default value: + # edge_attr = lambda u,v: G[u][v].get('thickness', .5) + # + # Function on an attribute: + # edge_attr = lambda u,v: abs(G[u][v]['weight']) + # + # Handle Multi(Di)Graphs differently: + # edge_attr = lambda u,v: numpy.prod([d['size'] for d in G[u][v].values()]) + # + # Ignore multiple edges + # edge_attr = lambda u,v: 1 if len(G[u][v]) else 0 + # + value = edge_attr + + return value + + +@nx._dispatchable(edge_attrs={"edge_attr": None}, node_attrs="node_attr") +def attr_matrix( + G, + edge_attr=None, + node_attr=None, + normalized=False, + rc_order=None, + dtype=None, + order=None, +): + """Returns the attribute matrix using attributes from `G` as a numpy array. + + If only `G` is passed in, then the adjacency matrix is constructed. + + Let A be a discrete set of values for the node attribute `node_attr`. Then + the elements of A represent the rows and columns of the constructed matrix. + Now, iterate through every edge e=(u,v) in `G` and consider the value + of the edge attribute `edge_attr`. If ua and va are the values of the + node attribute `node_attr` for u and v, respectively, then the value of + the edge attribute is added to the matrix element at (ua, va). + + Parameters + ---------- + G : graph + The NetworkX graph used to construct the attribute matrix. + + edge_attr : str, optional + Each element of the matrix represents a running total of the + specified edge attribute for edges whose node attributes correspond + to the rows/cols of the matrix. The attribute must be present for + all edges in the graph. If no attribute is specified, then we + just count the number of edges whose node attributes correspond + to the matrix element. + + node_attr : str, optional + Each row and column in the matrix represents a particular value + of the node attribute. The attribute must be present for all nodes + in the graph. Note, the values of this attribute should be reliably + hashable. So, float values are not recommended. If no attribute is + specified, then the rows and columns will be the nodes of the graph. + + normalized : bool, optional + If True, then each row is normalized by the summation of its values. + + rc_order : list, optional + A list of the node attribute values. This list specifies the ordering + of rows and columns of the array. If no ordering is provided, then + the ordering will be random (and also, a return value). + + Other Parameters + ---------------- + dtype : NumPy data-type, optional + A valid NumPy dtype used to initialize the array. Keep in mind certain + dtypes can yield unexpected results if the array is to be normalized. + The parameter is passed to numpy.zeros(). If unspecified, the NumPy + default is used. + + order : {'C', 'F'}, optional + Whether to store multidimensional data in C- or Fortran-contiguous + (row- or column-wise) order in memory. This parameter is passed to + numpy.zeros(). If unspecified, the NumPy default is used. + + Returns + ------- + M : 2D NumPy ndarray + The attribute matrix. + + ordering : list + If `rc_order` was specified, then only the attribute matrix is returned. + However, if `rc_order` was None, then the ordering used to construct + the matrix is returned as well. + + Examples + -------- + Construct an adjacency matrix: + + >>> G = nx.Graph() + >>> G.add_edge(0, 1, thickness=1, weight=3) + >>> G.add_edge(0, 2, thickness=2) + >>> G.add_edge(1, 2, thickness=3) + >>> nx.attr_matrix(G, rc_order=[0, 1, 2]) + array([[0., 1., 1.], + [1., 0., 1.], + [1., 1., 0.]]) + + Alternatively, we can obtain the matrix describing edge thickness. + + >>> nx.attr_matrix(G, edge_attr="thickness", rc_order=[0, 1, 2]) + array([[0., 1., 2.], + [1., 0., 3.], + [2., 3., 0.]]) + + We can also color the nodes and ask for the probability distribution over + all edges (u,v) describing: + + Pr(v has color Y | u has color X) + + >>> G.nodes[0]["color"] = "red" + >>> G.nodes[1]["color"] = "red" + >>> G.nodes[2]["color"] = "blue" + >>> rc = ["red", "blue"] + >>> nx.attr_matrix(G, node_attr="color", normalized=True, rc_order=rc) + array([[0.33333333, 0.66666667], + [1. , 0. ]]) + + For example, the above tells us that for all edges (u,v): + + Pr( v is red | u is red) = 1/3 + Pr( v is blue | u is red) = 2/3 + + Pr( v is red | u is blue) = 1 + Pr( v is blue | u is blue) = 0 + + Finally, we can obtain the total weights listed by the node colors. + + >>> nx.attr_matrix(G, edge_attr="weight", node_attr="color", rc_order=rc) + array([[3., 2.], + [2., 0.]]) + + Thus, the total weight over all edges (u,v) with u and v having colors: + + (red, red) is 3 # the sole contribution is from edge (0,1) + (red, blue) is 2 # contributions from edges (0,2) and (1,2) + (blue, red) is 2 # same as (red, blue) since graph is undirected + (blue, blue) is 0 # there are no edges with blue endpoints + + """ + import numpy as np + + edge_value = _edge_value(G, edge_attr) + node_value = _node_value(G, node_attr) + + if rc_order is None: + ordering = list({node_value(n) for n in G}) + else: + ordering = rc_order + + N = len(ordering) + undirected = not G.is_directed() + index = dict(zip(ordering, range(N))) + M = np.zeros((N, N), dtype=dtype, order=order) + + seen = set() + for u, nbrdict in G.adjacency(): + for v in nbrdict: + # Obtain the node attribute values. + i, j = index[node_value(u)], index[node_value(v)] + if v not in seen: + M[i, j] += edge_value(u, v) + if undirected: + M[j, i] = M[i, j] + + if undirected: + seen.add(u) + + if normalized: + M /= M.sum(axis=1).reshape((N, 1)) + + if rc_order is None: + return M, ordering + else: + return M + + +@nx._dispatchable(edge_attrs={"edge_attr": None}, node_attrs="node_attr") +def attr_sparse_matrix( + G, edge_attr=None, node_attr=None, normalized=False, rc_order=None, dtype=None +): + """Returns a SciPy sparse array using attributes from G. + + If only `G` is passed in, then the adjacency matrix is constructed. + + Let A be a discrete set of values for the node attribute `node_attr`. Then + the elements of A represent the rows and columns of the constructed matrix. + Now, iterate through every edge e=(u,v) in `G` and consider the value + of the edge attribute `edge_attr`. If ua and va are the values of the + node attribute `node_attr` for u and v, respectively, then the value of + the edge attribute is added to the matrix element at (ua, va). + + Parameters + ---------- + G : graph + The NetworkX graph used to construct the NumPy matrix. + + edge_attr : str, optional + Each element of the matrix represents a running total of the + specified edge attribute for edges whose node attributes correspond + to the rows/cols of the matrix. The attribute must be present for + all edges in the graph. If no attribute is specified, then we + just count the number of edges whose node attributes correspond + to the matrix element. + + node_attr : str, optional + Each row and column in the matrix represents a particular value + of the node attribute. The attribute must be present for all nodes + in the graph. Note, the values of this attribute should be reliably + hashable. So, float values are not recommended. If no attribute is + specified, then the rows and columns will be the nodes of the graph. + + normalized : bool, optional + If True, then each row is normalized by the summation of its values. + + rc_order : list, optional + A list of the node attribute values. This list specifies the ordering + of rows and columns of the array. If no ordering is provided, then + the ordering will be random (and also, a return value). + + Other Parameters + ---------------- + dtype : NumPy data-type, optional + A valid NumPy dtype used to initialize the array. Keep in mind certain + dtypes can yield unexpected results if the array is to be normalized. + The parameter is passed to numpy.zeros(). If unspecified, the NumPy + default is used. + + Returns + ------- + M : SciPy sparse array + The attribute matrix. + + ordering : list + If `rc_order` was specified, then only the matrix is returned. + However, if `rc_order` was None, then the ordering used to construct + the matrix is returned as well. + + Examples + -------- + Construct an adjacency matrix: + + >>> G = nx.Graph() + >>> G.add_edge(0, 1, thickness=1, weight=3) + >>> G.add_edge(0, 2, thickness=2) + >>> G.add_edge(1, 2, thickness=3) + >>> M = nx.attr_sparse_matrix(G, rc_order=[0, 1, 2]) + >>> M.toarray() + array([[0., 1., 1.], + [1., 0., 1.], + [1., 1., 0.]]) + + Alternatively, we can obtain the matrix describing edge thickness. + + >>> M = nx.attr_sparse_matrix(G, edge_attr="thickness", rc_order=[0, 1, 2]) + >>> M.toarray() + array([[0., 1., 2.], + [1., 0., 3.], + [2., 3., 0.]]) + + We can also color the nodes and ask for the probability distribution over + all edges (u,v) describing: + + Pr(v has color Y | u has color X) + + >>> G.nodes[0]["color"] = "red" + >>> G.nodes[1]["color"] = "red" + >>> G.nodes[2]["color"] = "blue" + >>> rc = ["red", "blue"] + >>> M = nx.attr_sparse_matrix(G, node_attr="color", normalized=True, rc_order=rc) + >>> M.toarray() + array([[0.33333333, 0.66666667], + [1. , 0. ]]) + + For example, the above tells us that for all edges (u,v): + + Pr( v is red | u is red) = 1/3 + Pr( v is blue | u is red) = 2/3 + + Pr( v is red | u is blue) = 1 + Pr( v is blue | u is blue) = 0 + + Finally, we can obtain the total weights listed by the node colors. + + >>> M = nx.attr_sparse_matrix(G, edge_attr="weight", node_attr="color", rc_order=rc) + >>> M.toarray() + array([[3., 2.], + [2., 0.]]) + + Thus, the total weight over all edges (u,v) with u and v having colors: + + (red, red) is 3 # the sole contribution is from edge (0,1) + (red, blue) is 2 # contributions from edges (0,2) and (1,2) + (blue, red) is 2 # same as (red, blue) since graph is undirected + (blue, blue) is 0 # there are no edges with blue endpoints + + """ + import numpy as np + import scipy as sp + + edge_value = _edge_value(G, edge_attr) + node_value = _node_value(G, node_attr) + + if rc_order is None: + ordering = list({node_value(n) for n in G}) + else: + ordering = rc_order + + N = len(ordering) + undirected = not G.is_directed() + index = dict(zip(ordering, range(N))) + M = sp.sparse.lil_array((N, N), dtype=dtype) + + seen = set() + for u, nbrdict in G.adjacency(): + for v in nbrdict: + # Obtain the node attribute values. + i, j = index[node_value(u)], index[node_value(v)] + if v not in seen: + M[i, j] += edge_value(u, v) + if undirected: + M[j, i] = M[i, j] + + if undirected: + seen.add(u) + + if normalized: + M *= 1 / M.sum(axis=1)[:, np.newaxis] # in-place mult preserves sparse + + if rc_order is None: + return M, ordering + else: + return M diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/bethehessianmatrix.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/bethehessianmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..3d42fc6d37f033f058338d9a7a8eb718bd6dc14e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/bethehessianmatrix.py @@ -0,0 +1,79 @@ +"""Bethe Hessian or deformed Laplacian matrix of graphs.""" + +import networkx as nx +from networkx.utils import not_implemented_for + +__all__ = ["bethe_hessian_matrix"] + + +@not_implemented_for("directed") +@not_implemented_for("multigraph") +@nx._dispatchable +def bethe_hessian_matrix(G, r=None, nodelist=None): + r"""Returns the Bethe Hessian matrix of G. + + The Bethe Hessian is a family of matrices parametrized by r, defined as + H(r) = (r^2 - 1) I - r A + D where A is the adjacency matrix, D is the + diagonal matrix of node degrees, and I is the identify matrix. It is equal + to the graph laplacian when the regularizer r = 1. + + The default choice of regularizer should be the ratio [2]_ + + .. math:: + r_m = \left(\sum k_i \right)^{-1}\left(\sum k_i^2 \right) - 1 + + Parameters + ---------- + G : Graph + A NetworkX graph + r : float + Regularizer parameter + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by ``G.nodes()``. + + Returns + ------- + H : scipy.sparse.csr_array + The Bethe Hessian matrix of `G`, with parameter `r`. + + Examples + -------- + >>> k = [3, 2, 2, 1, 0] + >>> G = nx.havel_hakimi_graph(k) + >>> H = nx.bethe_hessian_matrix(G) + >>> H.toarray() + array([[ 3.5625, -1.25 , -1.25 , -1.25 , 0. ], + [-1.25 , 2.5625, -1.25 , 0. , 0. ], + [-1.25 , -1.25 , 2.5625, 0. , 0. ], + [-1.25 , 0. , 0. , 1.5625, 0. ], + [ 0. , 0. , 0. , 0. , 0.5625]]) + + See Also + -------- + bethe_hessian_spectrum + adjacency_matrix + laplacian_matrix + + References + ---------- + .. [1] A. Saade, F. Krzakala and L. Zdeborová + "Spectral Clustering of Graphs with the Bethe Hessian", + Advances in Neural Information Processing Systems, 2014. + .. [2] C. M. Le, E. Levina + "Estimating the number of communities in networks by spectral methods" + arXiv:1507.00827, 2015. + """ + import scipy as sp + + if nodelist is None: + nodelist = list(G) + if r is None: + r = sum(d**2 for v, d in nx.degree(G)) / sum(d for v, d in nx.degree(G)) - 1 + A = nx.to_scipy_sparse_array(G, nodelist=nodelist, format="csr") + n, m = A.shape + # TODO: Rm csr_array wrapper when spdiags array creation becomes available + D = sp.sparse.csr_array(sp.sparse.spdiags(A.sum(axis=1), 0, m, n, format="csr")) + # TODO: Rm csr_array wrapper when eye array creation becomes available + I = sp.sparse.csr_array(sp.sparse.eye(m, n, format="csr")) + return (r**2 - 1) * I - r * A + D diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/graphmatrix.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/graphmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..9f477bcccc5b6a077b8c7f1807299d71664ebede --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/graphmatrix.py @@ -0,0 +1,168 @@ +""" +Adjacency matrix and incidence matrix of graphs. +""" + +import networkx as nx + +__all__ = ["incidence_matrix", "adjacency_matrix"] + + +@nx._dispatchable(edge_attrs="weight") +def incidence_matrix( + G, nodelist=None, edgelist=None, oriented=False, weight=None, *, dtype=None +): + """Returns incidence matrix of G. + + The incidence matrix assigns each row to a node and each column to an edge. + For a standard incidence matrix a 1 appears wherever a row's node is + incident on the column's edge. For an oriented incidence matrix each + edge is assigned an orientation (arbitrarily for undirected and aligning to + direction for directed). A -1 appears for the source (tail) of an edge and + 1 for the destination (head) of the edge. The elements are zero otherwise. + + Parameters + ---------- + G : graph + A NetworkX graph + + nodelist : list, optional (default= all nodes in G) + The rows are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + edgelist : list, optional (default= all edges in G) + The columns are ordered according to the edges in edgelist. + If edgelist is None, then the ordering is produced by G.edges(). + + oriented: bool, optional (default=False) + If True, matrix elements are +1 or -1 for the head or tail node + respectively of each edge. If False, +1 occurs at both nodes. + + weight : string or None, optional (default=None) + The edge data key used to provide each value in the matrix. + If None, then each edge has weight 1. Edge weights, if used, + should be positive so that the orientation can provide the sign. + + dtype : a NumPy dtype or None (default=None) + The dtype of the output sparse array. This type should be a compatible + type of the weight argument, eg. if weight would return a float this + argument should also be a float. + If None, then the default for SciPy is used. + + Returns + ------- + A : SciPy sparse array + The incidence matrix of G. + + Notes + ----- + For MultiGraph/MultiDiGraph, the edges in edgelist should be + (u,v,key) 3-tuples. + + "Networks are the best discrete model for so many problems in + applied mathematics" [1]_. + + References + ---------- + .. [1] Gil Strang, Network applications: A = incidence matrix, + http://videolectures.net/mit18085f07_strang_lec03/ + """ + import scipy as sp + + if nodelist is None: + nodelist = list(G) + if edgelist is None: + if G.is_multigraph(): + edgelist = list(G.edges(keys=True)) + else: + edgelist = list(G.edges()) + A = sp.sparse.lil_array((len(nodelist), len(edgelist)), dtype=dtype) + node_index = {node: i for i, node in enumerate(nodelist)} + for ei, e in enumerate(edgelist): + (u, v) = e[:2] + if u == v: + continue # self loops give zero column + try: + ui = node_index[u] + vi = node_index[v] + except KeyError as err: + raise nx.NetworkXError( + f"node {u} or {v} in edgelist but not in nodelist" + ) from err + if weight is None: + wt = 1 + else: + if G.is_multigraph(): + ekey = e[2] + wt = G[u][v][ekey].get(weight, 1) + else: + wt = G[u][v].get(weight, 1) + if oriented: + A[ui, ei] = -wt + A[vi, ei] = wt + else: + A[ui, ei] = wt + A[vi, ei] = wt + return A.asformat("csc") + + +@nx._dispatchable(edge_attrs="weight") +def adjacency_matrix(G, nodelist=None, dtype=None, weight="weight"): + """Returns adjacency matrix of `G`. + + Parameters + ---------- + G : graph + A NetworkX graph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in `nodelist`. + If ``nodelist=None`` (the default), then the ordering is produced by + ``G.nodes()``. + + dtype : NumPy data-type, optional + The desired data-type for the array. + If `None`, then the NumPy default is used. + + weight : string or None, optional (default='weight') + The edge data key used to provide each value in the matrix. + If None, then each edge has weight 1. + + Returns + ------- + A : SciPy sparse array + Adjacency matrix representation of G. + + Notes + ----- + For directed graphs, entry ``i, j`` corresponds to an edge from ``i`` to ``j``. + + If you want a pure Python adjacency matrix representation try + :func:`~networkx.convert.to_dict_of_dicts` which will return a + dictionary-of-dictionaries format that can be addressed as a + sparse matrix. + + For multigraphs with parallel edges the weights are summed. + See :func:`networkx.convert_matrix.to_numpy_array` for other options. + + The convention used for self-loop edges in graphs is to assign the + diagonal matrix entry value to the edge weight attribute + (or the number 1 if the edge has no weight attribute). If the + alternate convention of doubling the edge weight is desired the + resulting SciPy sparse array can be modified as follows:: + + >>> G = nx.Graph([(1, 1)]) + >>> A = nx.adjacency_matrix(G) + >>> A.toarray() + array([[1]]) + >>> A.setdiag(A.diagonal() * 2) + >>> A.toarray() + array([[2]]) + + See Also + -------- + to_numpy_array + to_scipy_sparse_array + to_dict_of_dicts + adjacency_spectrum + """ + return nx.to_scipy_sparse_array(G, nodelist=nodelist, dtype=dtype, weight=weight) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/laplacianmatrix.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/laplacianmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..d49ae4910e7047a8ee0a585745209cfea92c2c12 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/laplacianmatrix.py @@ -0,0 +1,617 @@ +"""Laplacian matrix of graphs. + +All calculations here are done using the out-degree. For Laplacians using +in-degree, use `G.reverse(copy=False)` instead of `G` and take the transpose. + +The `laplacian_matrix` function provides an unnormalized matrix, +while `normalized_laplacian_matrix`, `directed_laplacian_matrix`, +and `directed_combinatorial_laplacian_matrix` are all normalized. +""" + +import networkx as nx +from networkx.utils import not_implemented_for + +__all__ = [ + "laplacian_matrix", + "normalized_laplacian_matrix", + "total_spanning_tree_weight", + "directed_laplacian_matrix", + "directed_combinatorial_laplacian_matrix", +] + + +@nx._dispatchable(edge_attrs="weight") +def laplacian_matrix(G, nodelist=None, weight="weight"): + """Returns the Laplacian matrix of G. + + The graph Laplacian is the matrix L = D - A, where + A is the adjacency matrix and D is the diagonal matrix of node degrees. + + Parameters + ---------- + G : graph + A NetworkX graph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + Returns + ------- + L : SciPy sparse array + The Laplacian matrix of G. + + Notes + ----- + For MultiGraph, the edges weights are summed. + + This returns an unnormalized matrix. For a normalized output, + use `normalized_laplacian_matrix`, `directed_laplacian_matrix`, + or `directed_combinatorial_laplacian_matrix`. + + This calculation uses the out-degree of the graph `G`. To use the + in-degree for calculations instead, use `G.reverse(copy=False)` and + take the transpose. + + See Also + -------- + :func:`~networkx.convert_matrix.to_numpy_array` + normalized_laplacian_matrix + directed_laplacian_matrix + directed_combinatorial_laplacian_matrix + :func:`~networkx.linalg.spectrum.laplacian_spectrum` + + Examples + -------- + For graphs with multiple connected components, L is permutation-similar + to a block diagonal matrix where each block is the respective Laplacian + matrix for each component. + + >>> G = nx.Graph([(1, 2), (2, 3), (4, 5)]) + >>> print(nx.laplacian_matrix(G).toarray()) + [[ 1 -1 0 0 0] + [-1 2 -1 0 0] + [ 0 -1 1 0 0] + [ 0 0 0 1 -1] + [ 0 0 0 -1 1]] + + >>> edges = [ + ... (1, 2), + ... (2, 1), + ... (2, 4), + ... (4, 3), + ... (3, 4), + ... ] + >>> DiG = nx.DiGraph(edges) + >>> print(nx.laplacian_matrix(DiG).toarray()) + [[ 1 -1 0 0] + [-1 2 -1 0] + [ 0 0 1 -1] + [ 0 0 -1 1]] + + Notice that node 4 is represented by the third column and row. This is because + by default the row/column order is the order of `G.nodes` (i.e. the node added + order -- in the edgelist, 4 first appears in (2, 4), before node 3 in edge (4, 3).) + To control the node order of the matrix, use the `nodelist` argument. + + >>> print(nx.laplacian_matrix(DiG, nodelist=[1, 2, 3, 4]).toarray()) + [[ 1 -1 0 0] + [-1 2 0 -1] + [ 0 0 1 -1] + [ 0 0 -1 1]] + + This calculation uses the out-degree of the graph `G`. To use the + in-degree for calculations instead, use `G.reverse(copy=False)` and + take the transpose. + + >>> print(nx.laplacian_matrix(DiG.reverse(copy=False)).toarray().T) + [[ 1 -1 0 0] + [-1 1 -1 0] + [ 0 0 2 -1] + [ 0 0 -1 1]] + + References + ---------- + .. [1] Langville, Amy N., and Carl D. Meyer. Google’s PageRank and Beyond: + The Science of Search Engine Rankings. Princeton University Press, 2006. + + """ + import scipy as sp + + if nodelist is None: + nodelist = list(G) + A = nx.to_scipy_sparse_array(G, nodelist=nodelist, weight=weight, format="csr") + n, m = A.shape + # TODO: rm csr_array wrapper when spdiags can produce arrays + D = sp.sparse.csr_array(sp.sparse.spdiags(A.sum(axis=1), 0, m, n, format="csr")) + return D - A + + +@nx._dispatchable(edge_attrs="weight") +def normalized_laplacian_matrix(G, nodelist=None, weight="weight"): + r"""Returns the normalized Laplacian matrix of G. + + The normalized graph Laplacian is the matrix + + .. math:: + + N = D^{-1/2} L D^{-1/2} + + where `L` is the graph Laplacian and `D` is the diagonal matrix of + node degrees [1]_. + + Parameters + ---------- + G : graph + A NetworkX graph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + Returns + ------- + N : SciPy sparse array + The normalized Laplacian matrix of G. + + Notes + ----- + For MultiGraph, the edges weights are summed. + See :func:`to_numpy_array` for other options. + + If the Graph contains selfloops, D is defined as ``diag(sum(A, 1))``, where A is + the adjacency matrix [2]_. + + This calculation uses the out-degree of the graph `G`. To use the + in-degree for calculations instead, use `G.reverse(copy=False)` and + take the transpose. + + For an unnormalized output, use `laplacian_matrix`. + + Examples + -------- + + >>> import numpy as np + >>> edges = [ + ... (1, 2), + ... (2, 1), + ... (2, 4), + ... (4, 3), + ... (3, 4), + ... ] + >>> DiG = nx.DiGraph(edges) + >>> print(nx.normalized_laplacian_matrix(DiG).toarray()) + [[ 1. -0.70710678 0. 0. ] + [-0.70710678 1. -0.70710678 0. ] + [ 0. 0. 1. -1. ] + [ 0. 0. -1. 1. ]] + + Notice that node 4 is represented by the third column and row. This is because + by default the row/column order is the order of `G.nodes` (i.e. the node added + order -- in the edgelist, 4 first appears in (2, 4), before node 3 in edge (4, 3).) + To control the node order of the matrix, use the `nodelist` argument. + + >>> print(nx.normalized_laplacian_matrix(DiG, nodelist=[1, 2, 3, 4]).toarray()) + [[ 1. -0.70710678 0. 0. ] + [-0.70710678 1. 0. -0.70710678] + [ 0. 0. 1. -1. ] + [ 0. 0. -1. 1. ]] + >>> G = nx.Graph(edges) + >>> print(nx.normalized_laplacian_matrix(G).toarray()) + [[ 1. -0.70710678 0. 0. ] + [-0.70710678 1. -0.5 0. ] + [ 0. -0.5 1. -0.70710678] + [ 0. 0. -0.70710678 1. ]] + + See Also + -------- + laplacian_matrix + normalized_laplacian_spectrum + directed_laplacian_matrix + directed_combinatorial_laplacian_matrix + + References + ---------- + .. [1] Fan Chung-Graham, Spectral Graph Theory, + CBMS Regional Conference Series in Mathematics, Number 92, 1997. + .. [2] Steve Butler, Interlacing For Weighted Graphs Using The Normalized + Laplacian, Electronic Journal of Linear Algebra, Volume 16, pp. 90-98, + March 2007. + .. [3] Langville, Amy N., and Carl D. Meyer. Google’s PageRank and Beyond: + The Science of Search Engine Rankings. Princeton University Press, 2006. + """ + import numpy as np + import scipy as sp + + if nodelist is None: + nodelist = list(G) + A = nx.to_scipy_sparse_array(G, nodelist=nodelist, weight=weight, format="csr") + n, _ = A.shape + diags = A.sum(axis=1) + # TODO: rm csr_array wrapper when spdiags can produce arrays + D = sp.sparse.csr_array(sp.sparse.spdiags(diags, 0, n, n, format="csr")) + L = D - A + with np.errstate(divide="ignore"): + diags_sqrt = 1.0 / np.sqrt(diags) + diags_sqrt[np.isinf(diags_sqrt)] = 0 + # TODO: rm csr_array wrapper when spdiags can produce arrays + DH = sp.sparse.csr_array(sp.sparse.spdiags(diags_sqrt, 0, n, n, format="csr")) + return DH @ (L @ DH) + + +@nx._dispatchable(edge_attrs="weight") +def total_spanning_tree_weight(G, weight=None, root=None): + """ + Returns the total weight of all spanning trees of `G`. + + Kirchoff's Tree Matrix Theorem [1]_, [2]_ states that the determinant of any + cofactor of the Laplacian matrix of a graph is the number of spanning trees + in the graph. For a weighted Laplacian matrix, it is the sum across all + spanning trees of the multiplicative weight of each tree. That is, the + weight of each tree is the product of its edge weights. + + For unweighted graphs, the total weight equals the number of spanning trees in `G`. + + For directed graphs, the total weight follows by summing over all directed + spanning trees in `G` that start in the `root` node [3]_. + + .. deprecated:: 3.3 + + ``total_spanning_tree_weight`` is deprecated and will be removed in v3.5. + Use ``nx.number_of_spanning_trees(G)`` instead. + + Parameters + ---------- + G : NetworkX Graph + + weight : string or None, optional (default=None) + The key for the edge attribute holding the edge weight. + If None, then each edge has weight 1. + + root : node (only required for directed graphs) + A node in the directed graph `G`. + + Returns + ------- + total_weight : float + Undirected graphs: + The sum of the total multiplicative weights for all spanning trees in `G`. + Directed graphs: + The sum of the total multiplicative weights for all spanning trees of `G`, + rooted at node `root`. + + Raises + ------ + NetworkXPointlessConcept + If `G` does not contain any nodes. + + NetworkXError + If the graph `G` is not (weakly) connected, + or if `G` is directed and the root node is not specified or not in G. + + Examples + -------- + >>> G = nx.complete_graph(5) + >>> round(nx.total_spanning_tree_weight(G)) + 125 + + >>> G = nx.Graph() + >>> G.add_edge(1, 2, weight=2) + >>> G.add_edge(1, 3, weight=1) + >>> G.add_edge(2, 3, weight=1) + >>> round(nx.total_spanning_tree_weight(G, "weight")) + 5 + + Notes + ----- + Self-loops are excluded. Multi-edges are contracted in one edge + equal to the sum of the weights. + + References + ---------- + .. [1] Wikipedia + "Kirchhoff's theorem." + https://en.wikipedia.org/wiki/Kirchhoff%27s_theorem + .. [2] Kirchhoff, G. R. + Über die Auflösung der Gleichungen, auf welche man + bei der Untersuchung der linearen Vertheilung + Galvanischer Ströme geführt wird + Annalen der Physik und Chemie, vol. 72, pp. 497-508, 1847. + .. [3] Margoliash, J. + "Matrix-Tree Theorem for Directed Graphs" + https://www.math.uchicago.edu/~may/VIGRE/VIGRE2010/REUPapers/Margoliash.pdf + """ + import warnings + + warnings.warn( + ( + "\n\ntotal_spanning_tree_weight is deprecated and will be removed in v3.5.\n" + "Use `nx.number_of_spanning_trees(G)` instead." + ), + category=DeprecationWarning, + stacklevel=3, + ) + + return nx.number_of_spanning_trees(G, weight=weight, root=root) + + +############################################################################### +# Code based on work from https://github.com/bjedwards + + +@not_implemented_for("undirected") +@not_implemented_for("multigraph") +@nx._dispatchable(edge_attrs="weight") +def directed_laplacian_matrix( + G, nodelist=None, weight="weight", walk_type=None, alpha=0.95 +): + r"""Returns the directed Laplacian matrix of G. + + The graph directed Laplacian is the matrix + + .. math:: + + L = I - \frac{1}{2} \left (\Phi^{1/2} P \Phi^{-1/2} + \Phi^{-1/2} P^T \Phi^{1/2} \right ) + + where `I` is the identity matrix, `P` is the transition matrix of the + graph, and `\Phi` a matrix with the Perron vector of `P` in the diagonal and + zeros elsewhere [1]_. + + Depending on the value of walk_type, `P` can be the transition matrix + induced by a random walk, a lazy random walk, or a random walk with + teleportation (PageRank). + + Parameters + ---------- + G : DiGraph + A NetworkX graph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + walk_type : string or None, optional (default=None) + One of ``"random"``, ``"lazy"``, or ``"pagerank"``. If ``walk_type=None`` + (the default), then a value is selected according to the properties of `G`: + - ``walk_type="random"`` if `G` is strongly connected and aperiodic + - ``walk_type="lazy"`` if `G` is strongly connected but not aperiodic + - ``walk_type="pagerank"`` for all other cases. + + alpha : real + (1 - alpha) is the teleportation probability used with pagerank + + Returns + ------- + L : NumPy matrix + Normalized Laplacian of G. + + Notes + ----- + Only implemented for DiGraphs + + The result is always a symmetric matrix. + + This calculation uses the out-degree of the graph `G`. To use the + in-degree for calculations instead, use `G.reverse(copy=False)` and + take the transpose. + + See Also + -------- + laplacian_matrix + normalized_laplacian_matrix + directed_combinatorial_laplacian_matrix + + References + ---------- + .. [1] Fan Chung (2005). + Laplacians and the Cheeger inequality for directed graphs. + Annals of Combinatorics, 9(1), 2005 + """ + import numpy as np + import scipy as sp + + # NOTE: P has type ndarray if walk_type=="pagerank", else csr_array + P = _transition_matrix( + G, nodelist=nodelist, weight=weight, walk_type=walk_type, alpha=alpha + ) + + n, m = P.shape + + evals, evecs = sp.sparse.linalg.eigs(P.T, k=1) + v = evecs.flatten().real + p = v / v.sum() + # p>=0 by Perron-Frobenius Thm. Use abs() to fix roundoff across zero gh-6865 + sqrtp = np.sqrt(np.abs(p)) + Q = ( + # TODO: rm csr_array wrapper when spdiags creates arrays + sp.sparse.csr_array(sp.sparse.spdiags(sqrtp, 0, n, n)) + @ P + # TODO: rm csr_array wrapper when spdiags creates arrays + @ sp.sparse.csr_array(sp.sparse.spdiags(1.0 / sqrtp, 0, n, n)) + ) + # NOTE: This could be sparsified for the non-pagerank cases + I = np.identity(len(G)) + + return I - (Q + Q.T) / 2.0 + + +@not_implemented_for("undirected") +@not_implemented_for("multigraph") +@nx._dispatchable(edge_attrs="weight") +def directed_combinatorial_laplacian_matrix( + G, nodelist=None, weight="weight", walk_type=None, alpha=0.95 +): + r"""Return the directed combinatorial Laplacian matrix of G. + + The graph directed combinatorial Laplacian is the matrix + + .. math:: + + L = \Phi - \frac{1}{2} \left (\Phi P + P^T \Phi \right) + + where `P` is the transition matrix of the graph and `\Phi` a matrix + with the Perron vector of `P` in the diagonal and zeros elsewhere [1]_. + + Depending on the value of walk_type, `P` can be the transition matrix + induced by a random walk, a lazy random walk, or a random walk with + teleportation (PageRank). + + Parameters + ---------- + G : DiGraph + A NetworkX graph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + walk_type : string or None, optional (default=None) + One of ``"random"``, ``"lazy"``, or ``"pagerank"``. If ``walk_type=None`` + (the default), then a value is selected according to the properties of `G`: + - ``walk_type="random"`` if `G` is strongly connected and aperiodic + - ``walk_type="lazy"`` if `G` is strongly connected but not aperiodic + - ``walk_type="pagerank"`` for all other cases. + + alpha : real + (1 - alpha) is the teleportation probability used with pagerank + + Returns + ------- + L : NumPy matrix + Combinatorial Laplacian of G. + + Notes + ----- + Only implemented for DiGraphs + + The result is always a symmetric matrix. + + This calculation uses the out-degree of the graph `G`. To use the + in-degree for calculations instead, use `G.reverse(copy=False)` and + take the transpose. + + See Also + -------- + laplacian_matrix + normalized_laplacian_matrix + directed_laplacian_matrix + + References + ---------- + .. [1] Fan Chung (2005). + Laplacians and the Cheeger inequality for directed graphs. + Annals of Combinatorics, 9(1), 2005 + """ + import scipy as sp + + P = _transition_matrix( + G, nodelist=nodelist, weight=weight, walk_type=walk_type, alpha=alpha + ) + + n, m = P.shape + + evals, evecs = sp.sparse.linalg.eigs(P.T, k=1) + v = evecs.flatten().real + p = v / v.sum() + # NOTE: could be improved by not densifying + # TODO: Rm csr_array wrapper when spdiags array creation becomes available + Phi = sp.sparse.csr_array(sp.sparse.spdiags(p, 0, n, n)).toarray() + + return Phi - (Phi @ P + P.T @ Phi) / 2.0 + + +def _transition_matrix(G, nodelist=None, weight="weight", walk_type=None, alpha=0.95): + """Returns the transition matrix of G. + + This is a row stochastic giving the transition probabilities while + performing a random walk on the graph. Depending on the value of walk_type, + P can be the transition matrix induced by a random walk, a lazy random walk, + or a random walk with teleportation (PageRank). + + Parameters + ---------- + G : DiGraph + A NetworkX graph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + walk_type : string or None, optional (default=None) + One of ``"random"``, ``"lazy"``, or ``"pagerank"``. If ``walk_type=None`` + (the default), then a value is selected according to the properties of `G`: + - ``walk_type="random"`` if `G` is strongly connected and aperiodic + - ``walk_type="lazy"`` if `G` is strongly connected but not aperiodic + - ``walk_type="pagerank"`` for all other cases. + + alpha : real + (1 - alpha) is the teleportation probability used with pagerank + + Returns + ------- + P : numpy.ndarray + transition matrix of G. + + Raises + ------ + NetworkXError + If walk_type not specified or alpha not in valid range + """ + import numpy as np + import scipy as sp + + if walk_type is None: + if nx.is_strongly_connected(G): + if nx.is_aperiodic(G): + walk_type = "random" + else: + walk_type = "lazy" + else: + walk_type = "pagerank" + + A = nx.to_scipy_sparse_array(G, nodelist=nodelist, weight=weight, dtype=float) + n, m = A.shape + if walk_type in ["random", "lazy"]: + # TODO: Rm csr_array wrapper when spdiags array creation becomes available + DI = sp.sparse.csr_array(sp.sparse.spdiags(1.0 / A.sum(axis=1), 0, n, n)) + if walk_type == "random": + P = DI @ A + else: + # TODO: Rm csr_array wrapper when identity array creation becomes available + I = sp.sparse.csr_array(sp.sparse.identity(n)) + P = (I + DI @ A) / 2.0 + + elif walk_type == "pagerank": + if not (0 < alpha < 1): + raise nx.NetworkXError("alpha must be between 0 and 1") + # this is using a dense representation. NOTE: This should be sparsified! + A = A.toarray() + # add constant to dangling nodes' row + A[A.sum(axis=1) == 0, :] = 1 / n + # normalize + A = A / A.sum(axis=1)[np.newaxis, :].T + P = alpha * A + (1 - alpha) / n + else: + raise nx.NetworkXError("walk_type must be random, lazy, or pagerank") + + return P diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/modularitymatrix.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/modularitymatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..0287910bdccc61263afa4d6adfa2b0d78afc4daa --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/modularitymatrix.py @@ -0,0 +1,166 @@ +"""Modularity matrix of graphs.""" + +import networkx as nx +from networkx.utils import not_implemented_for + +__all__ = ["modularity_matrix", "directed_modularity_matrix"] + + +@not_implemented_for("directed") +@not_implemented_for("multigraph") +@nx._dispatchable(edge_attrs="weight") +def modularity_matrix(G, nodelist=None, weight=None): + r"""Returns the modularity matrix of G. + + The modularity matrix is the matrix B = A - , where A is the adjacency + matrix and is the average adjacency matrix, assuming that the graph + is described by the configuration model. + + More specifically, the element B_ij of B is defined as + + .. math:: + A_{ij} - {k_i k_j \over 2 m} + + where k_i is the degree of node i, and where m is the number of edges + in the graph. When weight is set to a name of an attribute edge, Aij, k_i, + k_j and m are computed using its value. + + Parameters + ---------- + G : Graph + A NetworkX graph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + weight : string or None, optional (default=None) + The edge attribute that holds the numerical value used for + the edge weight. If None then all edge weights are 1. + + Returns + ------- + B : Numpy array + The modularity matrix of G. + + Examples + -------- + >>> k = [3, 2, 2, 1, 0] + >>> G = nx.havel_hakimi_graph(k) + >>> B = nx.modularity_matrix(G) + + + See Also + -------- + to_numpy_array + modularity_spectrum + adjacency_matrix + directed_modularity_matrix + + References + ---------- + .. [1] M. E. J. Newman, "Modularity and community structure in networks", + Proc. Natl. Acad. Sci. USA, vol. 103, pp. 8577-8582, 2006. + """ + import numpy as np + + if nodelist is None: + nodelist = list(G) + A = nx.to_scipy_sparse_array(G, nodelist=nodelist, weight=weight, format="csr") + k = A.sum(axis=1) + m = k.sum() * 0.5 + # Expected adjacency matrix + X = np.outer(k, k) / (2 * m) + + return A - X + + +@not_implemented_for("undirected") +@not_implemented_for("multigraph") +@nx._dispatchable(edge_attrs="weight") +def directed_modularity_matrix(G, nodelist=None, weight=None): + """Returns the directed modularity matrix of G. + + The modularity matrix is the matrix B = A - , where A is the adjacency + matrix and is the expected adjacency matrix, assuming that the graph + is described by the configuration model. + + More specifically, the element B_ij of B is defined as + + .. math:: + B_{ij} = A_{ij} - k_i^{out} k_j^{in} / m + + where :math:`k_i^{in}` is the in degree of node i, and :math:`k_j^{out}` is the out degree + of node j, with m the number of edges in the graph. When weight is set + to a name of an attribute edge, Aij, k_i, k_j and m are computed using + its value. + + Parameters + ---------- + G : DiGraph + A NetworkX DiGraph + + nodelist : list, optional + The rows and columns are ordered according to the nodes in nodelist. + If nodelist is None, then the ordering is produced by G.nodes(). + + weight : string or None, optional (default=None) + The edge attribute that holds the numerical value used for + the edge weight. If None then all edge weights are 1. + + Returns + ------- + B : Numpy array + The modularity matrix of G. + + Examples + -------- + >>> G = nx.DiGraph() + >>> G.add_edges_from( + ... ( + ... (1, 2), + ... (1, 3), + ... (3, 1), + ... (3, 2), + ... (3, 5), + ... (4, 5), + ... (4, 6), + ... (5, 4), + ... (5, 6), + ... (6, 4), + ... ) + ... ) + >>> B = nx.directed_modularity_matrix(G) + + + Notes + ----- + NetworkX defines the element A_ij of the adjacency matrix as 1 if there + is a link going from node i to node j. Leicht and Newman use the opposite + definition. This explains the different expression for B_ij. + + See Also + -------- + to_numpy_array + modularity_spectrum + adjacency_matrix + modularity_matrix + + References + ---------- + .. [1] E. A. Leicht, M. E. J. Newman, + "Community structure in directed networks", + Phys. Rev Lett., vol. 100, no. 11, p. 118703, 2008. + """ + import numpy as np + + if nodelist is None: + nodelist = list(G) + A = nx.to_scipy_sparse_array(G, nodelist=nodelist, weight=weight, format="csr") + k_in = A.sum(axis=0) + k_out = A.sum(axis=1) + m = k_in.sum() + # Expected adjacency matrix + X = np.outer(k_out, k_in) / m + + return A - X diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/spectrum.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/spectrum.py new file mode 100644 index 0000000000000000000000000000000000000000..079b18550ca5b1478ec3f4b12ee40e5451627355 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/spectrum.py @@ -0,0 +1,186 @@ +""" +Eigenvalue spectrum of graphs. +""" + +import networkx as nx + +__all__ = [ + "laplacian_spectrum", + "adjacency_spectrum", + "modularity_spectrum", + "normalized_laplacian_spectrum", + "bethe_hessian_spectrum", +] + + +@nx._dispatchable(edge_attrs="weight") +def laplacian_spectrum(G, weight="weight"): + """Returns eigenvalues of the Laplacian of G + + Parameters + ---------- + G : graph + A NetworkX graph + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + Returns + ------- + evals : NumPy array + Eigenvalues + + Notes + ----- + For MultiGraph/MultiDiGraph, the edges weights are summed. + See :func:`~networkx.convert_matrix.to_numpy_array` for other options. + + See Also + -------- + laplacian_matrix + + Examples + -------- + The multiplicity of 0 as an eigenvalue of the laplacian matrix is equal + to the number of connected components of G. + + >>> G = nx.Graph() # Create a graph with 5 nodes and 3 connected components + >>> G.add_nodes_from(range(5)) + >>> G.add_edges_from([(0, 2), (3, 4)]) + >>> nx.laplacian_spectrum(G) + array([0., 0., 0., 2., 2.]) + + """ + import scipy as sp + + return sp.linalg.eigvalsh(nx.laplacian_matrix(G, weight=weight).todense()) + + +@nx._dispatchable(edge_attrs="weight") +def normalized_laplacian_spectrum(G, weight="weight"): + """Return eigenvalues of the normalized Laplacian of G + + Parameters + ---------- + G : graph + A NetworkX graph + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + Returns + ------- + evals : NumPy array + Eigenvalues + + Notes + ----- + For MultiGraph/MultiDiGraph, the edges weights are summed. + See to_numpy_array for other options. + + See Also + -------- + normalized_laplacian_matrix + """ + import scipy as sp + + return sp.linalg.eigvalsh( + nx.normalized_laplacian_matrix(G, weight=weight).todense() + ) + + +@nx._dispatchable(edge_attrs="weight") +def adjacency_spectrum(G, weight="weight"): + """Returns eigenvalues of the adjacency matrix of G. + + Parameters + ---------- + G : graph + A NetworkX graph + + weight : string or None, optional (default='weight') + The edge data key used to compute each value in the matrix. + If None, then each edge has weight 1. + + Returns + ------- + evals : NumPy array + Eigenvalues + + Notes + ----- + For MultiGraph/MultiDiGraph, the edges weights are summed. + See to_numpy_array for other options. + + See Also + -------- + adjacency_matrix + """ + import scipy as sp + + return sp.linalg.eigvals(nx.adjacency_matrix(G, weight=weight).todense()) + + +@nx._dispatchable +def modularity_spectrum(G): + """Returns eigenvalues of the modularity matrix of G. + + Parameters + ---------- + G : Graph + A NetworkX Graph or DiGraph + + Returns + ------- + evals : NumPy array + Eigenvalues + + See Also + -------- + modularity_matrix + + References + ---------- + .. [1] M. E. J. Newman, "Modularity and community structure in networks", + Proc. Natl. Acad. Sci. USA, vol. 103, pp. 8577-8582, 2006. + """ + import scipy as sp + + if G.is_directed(): + return sp.linalg.eigvals(nx.directed_modularity_matrix(G)) + else: + return sp.linalg.eigvals(nx.modularity_matrix(G)) + + +@nx._dispatchable +def bethe_hessian_spectrum(G, r=None): + """Returns eigenvalues of the Bethe Hessian matrix of G. + + Parameters + ---------- + G : Graph + A NetworkX Graph or DiGraph + + r : float + Regularizer parameter + + Returns + ------- + evals : NumPy array + Eigenvalues + + See Also + -------- + bethe_hessian_matrix + + References + ---------- + .. [1] A. Saade, F. Krzakala and L. Zdeborová + "Spectral clustering of graphs with the bethe hessian", + Advances in Neural Information Processing Systems. 2014. + """ + import scipy as sp + + return sp.linalg.eigvalsh(nx.bethe_hessian_matrix(G, r).todense()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_algebraic_connectivity.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_algebraic_connectivity.py new file mode 100644 index 0000000000000000000000000000000000000000..089d917a6832e1ab211eb3ced08344b84ddb285a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_algebraic_connectivity.py @@ -0,0 +1,402 @@ +from math import sqrt + +import pytest + +np = pytest.importorskip("numpy") + + +import networkx as nx + +methods = ("tracemin_pcg", "tracemin_lu", "lanczos", "lobpcg") + + +def test_algebraic_connectivity_tracemin_chol(): + """Test that "tracemin_chol" raises an exception.""" + pytest.importorskip("scipy") + G = nx.barbell_graph(5, 4) + with pytest.raises(nx.NetworkXError): + nx.algebraic_connectivity(G, method="tracemin_chol") + + +def test_fiedler_vector_tracemin_chol(): + """Test that "tracemin_chol" raises an exception.""" + pytest.importorskip("scipy") + G = nx.barbell_graph(5, 4) + with pytest.raises(nx.NetworkXError): + nx.fiedler_vector(G, method="tracemin_chol") + + +def test_spectral_ordering_tracemin_chol(): + """Test that "tracemin_chol" raises an exception.""" + pytest.importorskip("scipy") + G = nx.barbell_graph(5, 4) + with pytest.raises(nx.NetworkXError): + nx.spectral_ordering(G, method="tracemin_chol") + + +def test_fiedler_vector_tracemin_unknown(): + """Test that "tracemin_unknown" raises an exception.""" + pytest.importorskip("scipy") + G = nx.barbell_graph(5, 4) + L = nx.laplacian_matrix(G) + X = np.asarray(np.random.normal(size=(1, L.shape[0]))).T + with pytest.raises(nx.NetworkXError, match="Unknown linear system solver"): + nx.linalg.algebraicconnectivity._tracemin_fiedler( + L, X, normalized=False, tol=1e-8, method="tracemin_unknown" + ) + + +def test_spectral_bisection(): + pytest.importorskip("scipy") + G = nx.barbell_graph(3, 0) + C = nx.spectral_bisection(G) + assert C == ({0, 1, 2}, {3, 4, 5}) + + mapping = dict(enumerate("badfec")) + G = nx.relabel_nodes(G, mapping) + C = nx.spectral_bisection(G) + assert C == ( + {mapping[0], mapping[1], mapping[2]}, + {mapping[3], mapping[4], mapping[5]}, + ) + + +def check_eigenvector(A, l, x): + nx = np.linalg.norm(x) + # Check zeroness. + assert nx != pytest.approx(0, abs=1e-07) + y = A @ x + ny = np.linalg.norm(y) + # Check collinearity. + assert x @ y == pytest.approx(nx * ny, abs=1e-7) + # Check eigenvalue. + assert ny == pytest.approx(l * nx, abs=1e-7) + + +class TestAlgebraicConnectivity: + @pytest.mark.parametrize("method", methods) + def test_directed(self, method): + G = nx.DiGraph() + pytest.raises( + nx.NetworkXNotImplemented, nx.algebraic_connectivity, G, method=method + ) + pytest.raises(nx.NetworkXNotImplemented, nx.fiedler_vector, G, method=method) + + @pytest.mark.parametrize("method", methods) + def test_null_and_singleton(self, method): + G = nx.Graph() + pytest.raises(nx.NetworkXError, nx.algebraic_connectivity, G, method=method) + pytest.raises(nx.NetworkXError, nx.fiedler_vector, G, method=method) + G.add_edge(0, 0) + pytest.raises(nx.NetworkXError, nx.algebraic_connectivity, G, method=method) + pytest.raises(nx.NetworkXError, nx.fiedler_vector, G, method=method) + + @pytest.mark.parametrize("method", methods) + def test_disconnected(self, method): + G = nx.Graph() + G.add_nodes_from(range(2)) + assert nx.algebraic_connectivity(G) == 0 + pytest.raises(nx.NetworkXError, nx.fiedler_vector, G, method=method) + G.add_edge(0, 1, weight=0) + assert nx.algebraic_connectivity(G) == 0 + pytest.raises(nx.NetworkXError, nx.fiedler_vector, G, method=method) + + def test_unrecognized_method(self): + pytest.importorskip("scipy") + G = nx.path_graph(4) + pytest.raises(nx.NetworkXError, nx.algebraic_connectivity, G, method="unknown") + pytest.raises(nx.NetworkXError, nx.fiedler_vector, G, method="unknown") + + @pytest.mark.parametrize("method", methods) + def test_two_nodes(self, method): + pytest.importorskip("scipy") + G = nx.Graph() + G.add_edge(0, 1, weight=1) + A = nx.laplacian_matrix(G) + assert nx.algebraic_connectivity(G, tol=1e-12, method=method) == pytest.approx( + 2, abs=1e-7 + ) + x = nx.fiedler_vector(G, tol=1e-12, method=method) + check_eigenvector(A, 2, x) + + @pytest.mark.parametrize("method", methods) + def test_two_nodes_multigraph(self, method): + pytest.importorskip("scipy") + G = nx.MultiGraph() + G.add_edge(0, 0, spam=1e8) + G.add_edge(0, 1, spam=1) + G.add_edge(0, 1, spam=-2) + A = -3 * nx.laplacian_matrix(G, weight="spam") + assert nx.algebraic_connectivity( + G, weight="spam", tol=1e-12, method=method + ) == pytest.approx(6, abs=1e-7) + x = nx.fiedler_vector(G, weight="spam", tol=1e-12, method=method) + check_eigenvector(A, 6, x) + + def test_abbreviation_of_method(self): + pytest.importorskip("scipy") + G = nx.path_graph(8) + A = nx.laplacian_matrix(G) + sigma = 2 - sqrt(2 + sqrt(2)) + ac = nx.algebraic_connectivity(G, tol=1e-12, method="tracemin") + assert ac == pytest.approx(sigma, abs=1e-7) + x = nx.fiedler_vector(G, tol=1e-12, method="tracemin") + check_eigenvector(A, sigma, x) + + @pytest.mark.parametrize("method", methods) + def test_path(self, method): + pytest.importorskip("scipy") + G = nx.path_graph(8) + A = nx.laplacian_matrix(G) + sigma = 2 - sqrt(2 + sqrt(2)) + ac = nx.algebraic_connectivity(G, tol=1e-12, method=method) + assert ac == pytest.approx(sigma, abs=1e-7) + x = nx.fiedler_vector(G, tol=1e-12, method=method) + check_eigenvector(A, sigma, x) + + @pytest.mark.parametrize("method", methods) + def test_problematic_graph_issue_2381(self, method): + pytest.importorskip("scipy") + G = nx.path_graph(4) + G.add_edges_from([(4, 2), (5, 1)]) + A = nx.laplacian_matrix(G) + sigma = 0.438447187191 + ac = nx.algebraic_connectivity(G, tol=1e-12, method=method) + assert ac == pytest.approx(sigma, abs=1e-7) + x = nx.fiedler_vector(G, tol=1e-12, method=method) + check_eigenvector(A, sigma, x) + + @pytest.mark.parametrize("method", methods) + def test_cycle(self, method): + pytest.importorskip("scipy") + G = nx.cycle_graph(8) + A = nx.laplacian_matrix(G) + sigma = 2 - sqrt(2) + ac = nx.algebraic_connectivity(G, tol=1e-12, method=method) + assert ac == pytest.approx(sigma, abs=1e-7) + x = nx.fiedler_vector(G, tol=1e-12, method=method) + check_eigenvector(A, sigma, x) + + @pytest.mark.parametrize("method", methods) + def test_seed_argument(self, method): + pytest.importorskip("scipy") + G = nx.cycle_graph(8) + A = nx.laplacian_matrix(G) + sigma = 2 - sqrt(2) + ac = nx.algebraic_connectivity(G, tol=1e-12, method=method, seed=1) + assert ac == pytest.approx(sigma, abs=1e-7) + x = nx.fiedler_vector(G, tol=1e-12, method=method, seed=1) + check_eigenvector(A, sigma, x) + + @pytest.mark.parametrize( + ("normalized", "sigma", "laplacian_fn"), + ( + (False, 0.2434017461399311, nx.laplacian_matrix), + (True, 0.08113391537997749, nx.normalized_laplacian_matrix), + ), + ) + @pytest.mark.parametrize("method", methods) + def test_buckminsterfullerene(self, normalized, sigma, laplacian_fn, method): + pytest.importorskip("scipy") + G = nx.Graph( + [ + (1, 10), + (1, 41), + (1, 59), + (2, 12), + (2, 42), + (2, 60), + (3, 6), + (3, 43), + (3, 57), + (4, 8), + (4, 44), + (4, 58), + (5, 13), + (5, 56), + (5, 57), + (6, 10), + (6, 31), + (7, 14), + (7, 56), + (7, 58), + (8, 12), + (8, 32), + (9, 23), + (9, 53), + (9, 59), + (10, 15), + (11, 24), + (11, 53), + (11, 60), + (12, 16), + (13, 14), + (13, 25), + (14, 26), + (15, 27), + (15, 49), + (16, 28), + (16, 50), + (17, 18), + (17, 19), + (17, 54), + (18, 20), + (18, 55), + (19, 23), + (19, 41), + (20, 24), + (20, 42), + (21, 31), + (21, 33), + (21, 57), + (22, 32), + (22, 34), + (22, 58), + (23, 24), + (25, 35), + (25, 43), + (26, 36), + (26, 44), + (27, 51), + (27, 59), + (28, 52), + (28, 60), + (29, 33), + (29, 34), + (29, 56), + (30, 51), + (30, 52), + (30, 53), + (31, 47), + (32, 48), + (33, 45), + (34, 46), + (35, 36), + (35, 37), + (36, 38), + (37, 39), + (37, 49), + (38, 40), + (38, 50), + (39, 40), + (39, 51), + (40, 52), + (41, 47), + (42, 48), + (43, 49), + (44, 50), + (45, 46), + (45, 54), + (46, 55), + (47, 54), + (48, 55), + ] + ) + A = laplacian_fn(G) + try: + assert nx.algebraic_connectivity( + G, normalized=normalized, tol=1e-12, method=method + ) == pytest.approx(sigma, abs=1e-7) + x = nx.fiedler_vector(G, normalized=normalized, tol=1e-12, method=method) + check_eigenvector(A, sigma, x) + except nx.NetworkXError as err: + if err.args not in ( + ("Cholesky solver unavailable.",), + ("LU solver unavailable.",), + ): + raise + + +class TestSpectralOrdering: + _graphs = (nx.Graph, nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph) + + @pytest.mark.parametrize("graph", _graphs) + def test_nullgraph(self, graph): + G = graph() + pytest.raises(nx.NetworkXError, nx.spectral_ordering, G) + + @pytest.mark.parametrize("graph", _graphs) + def test_singleton(self, graph): + G = graph() + G.add_node("x") + assert nx.spectral_ordering(G) == ["x"] + G.add_edge("x", "x", weight=33) + G.add_edge("x", "x", weight=33) + assert nx.spectral_ordering(G) == ["x"] + + def test_unrecognized_method(self): + G = nx.path_graph(4) + pytest.raises(nx.NetworkXError, nx.spectral_ordering, G, method="unknown") + + @pytest.mark.parametrize("method", methods) + def test_three_nodes(self, method): + pytest.importorskip("scipy") + G = nx.Graph() + G.add_weighted_edges_from([(1, 2, 1), (1, 3, 2), (2, 3, 1)], weight="spam") + order = nx.spectral_ordering(G, weight="spam", method=method) + assert set(order) == set(G) + assert {1, 3} in (set(order[:-1]), set(order[1:])) + + @pytest.mark.parametrize("method", methods) + def test_three_nodes_multigraph(self, method): + pytest.importorskip("scipy") + G = nx.MultiDiGraph() + G.add_weighted_edges_from([(1, 2, 1), (1, 3, 2), (2, 3, 1), (2, 3, 2)]) + order = nx.spectral_ordering(G, method=method) + assert set(order) == set(G) + assert {2, 3} in (set(order[:-1]), set(order[1:])) + + @pytest.mark.parametrize("method", methods) + def test_path(self, method): + pytest.importorskip("scipy") + path = list(range(10)) + np.random.shuffle(path) + G = nx.Graph() + nx.add_path(G, path) + order = nx.spectral_ordering(G, method=method) + assert order in [path, list(reversed(path))] + + @pytest.mark.parametrize("method", methods) + def test_seed_argument(self, method): + pytest.importorskip("scipy") + path = list(range(10)) + np.random.shuffle(path) + G = nx.Graph() + nx.add_path(G, path) + order = nx.spectral_ordering(G, method=method, seed=1) + assert order in [path, list(reversed(path))] + + @pytest.mark.parametrize("method", methods) + def test_disconnected(self, method): + pytest.importorskip("scipy") + G = nx.Graph() + nx.add_path(G, range(0, 10, 2)) + nx.add_path(G, range(1, 10, 2)) + order = nx.spectral_ordering(G, method=method) + assert set(order) == set(G) + seqs = [ + list(range(0, 10, 2)), + list(range(8, -1, -2)), + list(range(1, 10, 2)), + list(range(9, -1, -2)), + ] + assert order[:5] in seqs + assert order[5:] in seqs + + @pytest.mark.parametrize( + ("normalized", "expected_order"), + ( + (False, [[1, 2, 0, 3, 4, 5, 6, 9, 7, 8], [8, 7, 9, 6, 5, 4, 3, 0, 2, 1]]), + (True, [[1, 2, 3, 0, 4, 5, 9, 6, 7, 8], [8, 7, 6, 9, 5, 4, 0, 3, 2, 1]]), + ), + ) + @pytest.mark.parametrize("method", methods) + def test_cycle(self, normalized, expected_order, method): + pytest.importorskip("scipy") + path = list(range(10)) + G = nx.Graph() + nx.add_path(G, path, weight=5) + G.add_edge(path[-1], path[0], weight=1) + A = nx.laplacian_matrix(G).todense() + order = nx.spectral_ordering(G, normalized=normalized, method=method) + assert order in expected_order diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_attrmatrix.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_attrmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..01574bb3b8f284edef6c7f92fe1c7e7a239e0610 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_attrmatrix.py @@ -0,0 +1,108 @@ +import pytest + +np = pytest.importorskip("numpy") + +import networkx as nx + + +def test_attr_matrix(): + G = nx.Graph() + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 2, thickness=2) + G.add_edge(1, 2, thickness=3) + + def node_attr(u): + return G.nodes[u].get("size", 0.5) * 3 + + def edge_attr(u, v): + return G[u][v].get("thickness", 0.5) + + M = nx.attr_matrix(G, edge_attr=edge_attr, node_attr=node_attr) + np.testing.assert_equal(M[0], np.array([[6.0]])) + assert M[1] == [1.5] + + +def test_attr_matrix_directed(): + G = nx.DiGraph() + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 2, thickness=2) + G.add_edge(1, 2, thickness=3) + M = nx.attr_matrix(G, rc_order=[0, 1, 2]) + # fmt: off + data = np.array( + [[0., 1., 1.], + [0., 0., 1.], + [0., 0., 0.]] + ) + # fmt: on + np.testing.assert_equal(M, np.array(data)) + + +def test_attr_matrix_multigraph(): + G = nx.MultiGraph() + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 2, thickness=2) + G.add_edge(1, 2, thickness=3) + M = nx.attr_matrix(G, rc_order=[0, 1, 2]) + # fmt: off + data = np.array( + [[0., 3., 1.], + [3., 0., 1.], + [1., 1., 0.]] + ) + # fmt: on + np.testing.assert_equal(M, np.array(data)) + M = nx.attr_matrix(G, edge_attr="weight", rc_order=[0, 1, 2]) + # fmt: off + data = np.array( + [[0., 9., 1.], + [9., 0., 1.], + [1., 1., 0.]] + ) + # fmt: on + np.testing.assert_equal(M, np.array(data)) + M = nx.attr_matrix(G, edge_attr="thickness", rc_order=[0, 1, 2]) + # fmt: off + data = np.array( + [[0., 3., 2.], + [3., 0., 3.], + [2., 3., 0.]] + ) + # fmt: on + np.testing.assert_equal(M, np.array(data)) + + +def test_attr_sparse_matrix(): + pytest.importorskip("scipy") + G = nx.Graph() + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 2, thickness=2) + G.add_edge(1, 2, thickness=3) + M = nx.attr_sparse_matrix(G) + mtx = M[0] + data = np.ones((3, 3), float) + np.fill_diagonal(data, 0) + np.testing.assert_equal(mtx.todense(), np.array(data)) + assert M[1] == [0, 1, 2] + + +def test_attr_sparse_matrix_directed(): + pytest.importorskip("scipy") + G = nx.DiGraph() + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 1, thickness=1, weight=3) + G.add_edge(0, 2, thickness=2) + G.add_edge(1, 2, thickness=3) + M = nx.attr_sparse_matrix(G, rc_order=[0, 1, 2]) + # fmt: off + data = np.array( + [[0., 1., 1.], + [0., 0., 1.], + [0., 0., 0.]] + ) + # fmt: on + np.testing.assert_equal(M.todense(), np.array(data)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_bethehessian.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_bethehessian.py new file mode 100644 index 0000000000000000000000000000000000000000..339fe1be390b40083efdd61f1cae4ff62838fc93 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_bethehessian.py @@ -0,0 +1,41 @@ +import pytest + +np = pytest.importorskip("numpy") +pytest.importorskip("scipy") + +import networkx as nx +from networkx.generators.degree_seq import havel_hakimi_graph + + +class TestBetheHessian: + @classmethod + def setup_class(cls): + deg = [3, 2, 2, 1, 0] + cls.G = havel_hakimi_graph(deg) + cls.P = nx.path_graph(3) + + def test_bethe_hessian(self): + "Bethe Hessian matrix" + # fmt: off + H = np.array([[4, -2, 0], + [-2, 5, -2], + [0, -2, 4]]) + # fmt: on + permutation = [2, 0, 1] + # Bethe Hessian gives expected form + np.testing.assert_equal(nx.bethe_hessian_matrix(self.P, r=2).todense(), H) + # nodelist is correctly implemented + np.testing.assert_equal( + nx.bethe_hessian_matrix(self.P, r=2, nodelist=permutation).todense(), + H[np.ix_(permutation, permutation)], + ) + # Equal to Laplacian matrix when r=1 + np.testing.assert_equal( + nx.bethe_hessian_matrix(self.G, r=1).todense(), + nx.laplacian_matrix(self.G).todense(), + ) + # Correct default for the regularizer r + np.testing.assert_equal( + nx.bethe_hessian_matrix(self.G).todense(), + nx.bethe_hessian_matrix(self.G, r=1.25).todense(), + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_graphmatrix.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_graphmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..519198bc07b32f16c1c0ae0cd9b8bbe6b81bce62 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_graphmatrix.py @@ -0,0 +1,276 @@ +import pytest + +np = pytest.importorskip("numpy") +pytest.importorskip("scipy") + +import networkx as nx +from networkx.exception import NetworkXError +from networkx.generators.degree_seq import havel_hakimi_graph + + +def test_incidence_matrix_simple(): + deg = [3, 2, 2, 1, 0] + G = havel_hakimi_graph(deg) + deg = [(1, 0), (1, 0), (1, 0), (2, 0), (1, 0), (2, 1), (0, 1), (0, 1)] + MG = nx.random_clustered_graph(deg, seed=42) + + I = nx.incidence_matrix(G, dtype=int).todense() + # fmt: off + expected = np.array( + [[1, 1, 1, 0], + [0, 1, 0, 1], + [1, 0, 0, 1], + [0, 0, 1, 0], + [0, 0, 0, 0]] + ) + # fmt: on + np.testing.assert_equal(I, expected) + + I = nx.incidence_matrix(MG, dtype=int).todense() + # fmt: off + expected = np.array( + [[1, 0, 0, 0, 0, 0, 0], + [1, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 1, 1, 0], + [0, 0, 0, 0, 0, 1, 1], + [0, 0, 0, 0, 1, 0, 1]] + ) + # fmt: on + np.testing.assert_equal(I, expected) + + with pytest.raises(NetworkXError): + nx.incidence_matrix(G, nodelist=[0, 1]) + + +class TestGraphMatrix: + @classmethod + def setup_class(cls): + deg = [3, 2, 2, 1, 0] + cls.G = havel_hakimi_graph(deg) + # fmt: off + cls.OI = np.array( + [[-1, -1, -1, 0], + [1, 0, 0, -1], + [0, 1, 0, 1], + [0, 0, 1, 0], + [0, 0, 0, 0]] + ) + cls.A = np.array( + [[0, 1, 1, 1, 0], + [1, 0, 1, 0, 0], + [1, 1, 0, 0, 0], + [1, 0, 0, 0, 0], + [0, 0, 0, 0, 0]] + ) + # fmt: on + cls.WG = havel_hakimi_graph(deg) + cls.WG.add_edges_from( + (u, v, {"weight": 0.5, "other": 0.3}) for (u, v) in cls.G.edges() + ) + # fmt: off + cls.WA = np.array( + [[0, 0.5, 0.5, 0.5, 0], + [0.5, 0, 0.5, 0, 0], + [0.5, 0.5, 0, 0, 0], + [0.5, 0, 0, 0, 0], + [0, 0, 0, 0, 0]] + ) + # fmt: on + cls.MG = nx.MultiGraph(cls.G) + cls.MG2 = cls.MG.copy() + cls.MG2.add_edge(0, 1) + # fmt: off + cls.MG2A = np.array( + [[0, 2, 1, 1, 0], + [2, 0, 1, 0, 0], + [1, 1, 0, 0, 0], + [1, 0, 0, 0, 0], + [0, 0, 0, 0, 0]] + ) + cls.MGOI = np.array( + [[-1, -1, -1, -1, 0], + [1, 1, 0, 0, -1], + [0, 0, 1, 0, 1], + [0, 0, 0, 1, 0], + [0, 0, 0, 0, 0]] + ) + # fmt: on + cls.no_edges_G = nx.Graph([(1, 2), (3, 2, {"weight": 8})]) + cls.no_edges_A = np.array([[0, 0], [0, 0]]) + + def test_incidence_matrix(self): + "Conversion to incidence matrix" + I = nx.incidence_matrix( + self.G, + nodelist=sorted(self.G), + edgelist=sorted(self.G.edges()), + oriented=True, + dtype=int, + ).todense() + np.testing.assert_equal(I, self.OI) + + I = nx.incidence_matrix( + self.G, + nodelist=sorted(self.G), + edgelist=sorted(self.G.edges()), + oriented=False, + dtype=int, + ).todense() + np.testing.assert_equal(I, np.abs(self.OI)) + + I = nx.incidence_matrix( + self.MG, + nodelist=sorted(self.MG), + edgelist=sorted(self.MG.edges()), + oriented=True, + dtype=int, + ).todense() + np.testing.assert_equal(I, self.OI) + + I = nx.incidence_matrix( + self.MG, + nodelist=sorted(self.MG), + edgelist=sorted(self.MG.edges()), + oriented=False, + dtype=int, + ).todense() + np.testing.assert_equal(I, np.abs(self.OI)) + + I = nx.incidence_matrix( + self.MG2, + nodelist=sorted(self.MG2), + edgelist=sorted(self.MG2.edges()), + oriented=True, + dtype=int, + ).todense() + np.testing.assert_equal(I, self.MGOI) + + I = nx.incidence_matrix( + self.MG2, + nodelist=sorted(self.MG), + edgelist=sorted(self.MG2.edges()), + oriented=False, + dtype=int, + ).todense() + np.testing.assert_equal(I, np.abs(self.MGOI)) + + I = nx.incidence_matrix(self.G, dtype=np.uint8) + assert I.dtype == np.uint8 + + def test_weighted_incidence_matrix(self): + I = nx.incidence_matrix( + self.WG, + nodelist=sorted(self.WG), + edgelist=sorted(self.WG.edges()), + oriented=True, + dtype=int, + ).todense() + np.testing.assert_equal(I, self.OI) + + I = nx.incidence_matrix( + self.WG, + nodelist=sorted(self.WG), + edgelist=sorted(self.WG.edges()), + oriented=False, + dtype=int, + ).todense() + np.testing.assert_equal(I, np.abs(self.OI)) + + # np.testing.assert_equal(nx.incidence_matrix(self.WG,oriented=True, + # weight='weight').todense(),0.5*self.OI) + # np.testing.assert_equal(nx.incidence_matrix(self.WG,weight='weight').todense(), + # np.abs(0.5*self.OI)) + # np.testing.assert_equal(nx.incidence_matrix(self.WG,oriented=True,weight='other').todense(), + # 0.3*self.OI) + + I = nx.incidence_matrix( + self.WG, + nodelist=sorted(self.WG), + edgelist=sorted(self.WG.edges()), + oriented=True, + weight="weight", + ).todense() + np.testing.assert_equal(I, 0.5 * self.OI) + + I = nx.incidence_matrix( + self.WG, + nodelist=sorted(self.WG), + edgelist=sorted(self.WG.edges()), + oriented=False, + weight="weight", + ).todense() + np.testing.assert_equal(I, np.abs(0.5 * self.OI)) + + I = nx.incidence_matrix( + self.WG, + nodelist=sorted(self.WG), + edgelist=sorted(self.WG.edges()), + oriented=True, + weight="other", + ).todense() + np.testing.assert_equal(I, 0.3 * self.OI) + + # WMG=nx.MultiGraph(self.WG) + # WMG.add_edge(0,1,weight=0.5,other=0.3) + # np.testing.assert_equal(nx.incidence_matrix(WMG,weight='weight').todense(), + # np.abs(0.5*self.MGOI)) + # np.testing.assert_equal(nx.incidence_matrix(WMG,weight='weight',oriented=True).todense(), + # 0.5*self.MGOI) + # np.testing.assert_equal(nx.incidence_matrix(WMG,weight='other',oriented=True).todense(), + # 0.3*self.MGOI) + + WMG = nx.MultiGraph(self.WG) + WMG.add_edge(0, 1, weight=0.5, other=0.3) + + I = nx.incidence_matrix( + WMG, + nodelist=sorted(WMG), + edgelist=sorted(WMG.edges(keys=True)), + oriented=True, + weight="weight", + ).todense() + np.testing.assert_equal(I, 0.5 * self.MGOI) + + I = nx.incidence_matrix( + WMG, + nodelist=sorted(WMG), + edgelist=sorted(WMG.edges(keys=True)), + oriented=False, + weight="weight", + ).todense() + np.testing.assert_equal(I, np.abs(0.5 * self.MGOI)) + + I = nx.incidence_matrix( + WMG, + nodelist=sorted(WMG), + edgelist=sorted(WMG.edges(keys=True)), + oriented=True, + weight="other", + ).todense() + np.testing.assert_equal(I, 0.3 * self.MGOI) + + def test_adjacency_matrix(self): + "Conversion to adjacency matrix" + np.testing.assert_equal(nx.adjacency_matrix(self.G).todense(), self.A) + np.testing.assert_equal(nx.adjacency_matrix(self.MG).todense(), self.A) + np.testing.assert_equal(nx.adjacency_matrix(self.MG2).todense(), self.MG2A) + np.testing.assert_equal( + nx.adjacency_matrix(self.G, nodelist=[0, 1]).todense(), self.A[:2, :2] + ) + np.testing.assert_equal(nx.adjacency_matrix(self.WG).todense(), self.WA) + np.testing.assert_equal( + nx.adjacency_matrix(self.WG, weight=None).todense(), self.A + ) + np.testing.assert_equal( + nx.adjacency_matrix(self.MG2, weight=None).todense(), self.MG2A + ) + np.testing.assert_equal( + nx.adjacency_matrix(self.WG, weight="other").todense(), 0.6 * self.WA + ) + np.testing.assert_equal( + nx.adjacency_matrix(self.no_edges_G, nodelist=[1, 3]).todense(), + self.no_edges_A, + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_laplacian.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_laplacian.py new file mode 100644 index 0000000000000000000000000000000000000000..23f1b28e19f1af4097ae3e99501a45439a6f1598 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_laplacian.py @@ -0,0 +1,336 @@ +import pytest + +np = pytest.importorskip("numpy") +pytest.importorskip("scipy") + +import networkx as nx +from networkx.generators.degree_seq import havel_hakimi_graph +from networkx.generators.expanders import margulis_gabber_galil_graph + + +class TestLaplacian: + @classmethod + def setup_class(cls): + deg = [3, 2, 2, 1, 0] + cls.G = havel_hakimi_graph(deg) + cls.WG = nx.Graph( + (u, v, {"weight": 0.5, "other": 0.3}) for (u, v) in cls.G.edges() + ) + cls.WG.add_node(4) + cls.MG = nx.MultiGraph(cls.G) + + # Graph with clsloops + cls.Gsl = cls.G.copy() + for node in cls.Gsl.nodes(): + cls.Gsl.add_edge(node, node) + + # Graph used as an example in Sec. 4.1 of Langville and Meyer, + # "Google's PageRank and Beyond". + cls.DiG = nx.DiGraph() + cls.DiG.add_edges_from( + ( + (1, 2), + (1, 3), + (3, 1), + (3, 2), + (3, 5), + (4, 5), + (4, 6), + (5, 4), + (5, 6), + (6, 4), + ) + ) + cls.DiMG = nx.MultiDiGraph(cls.DiG) + cls.DiWG = nx.DiGraph( + (u, v, {"weight": 0.5, "other": 0.3}) for (u, v) in cls.DiG.edges() + ) + cls.DiGsl = cls.DiG.copy() + for node in cls.DiGsl.nodes(): + cls.DiGsl.add_edge(node, node) + + def test_laplacian(self): + "Graph Laplacian" + # fmt: off + NL = np.array([[ 3, -1, -1, -1, 0], + [-1, 2, -1, 0, 0], + [-1, -1, 2, 0, 0], + [-1, 0, 0, 1, 0], + [ 0, 0, 0, 0, 0]]) + # fmt: on + WL = 0.5 * NL + OL = 0.3 * NL + # fmt: off + DiNL = np.array([[ 2, -1, -1, 0, 0, 0], + [ 0, 0, 0, 0, 0, 0], + [-1, -1, 3, -1, 0, 0], + [ 0, 0, 0, 2, -1, -1], + [ 0, 0, 0, -1, 2, -1], + [ 0, 0, 0, 0, -1, 1]]) + # fmt: on + DiWL = 0.5 * DiNL + DiOL = 0.3 * DiNL + np.testing.assert_equal(nx.laplacian_matrix(self.G).todense(), NL) + np.testing.assert_equal(nx.laplacian_matrix(self.MG).todense(), NL) + np.testing.assert_equal( + nx.laplacian_matrix(self.G, nodelist=[0, 1]).todense(), + np.array([[1, -1], [-1, 1]]), + ) + np.testing.assert_equal(nx.laplacian_matrix(self.WG).todense(), WL) + np.testing.assert_equal(nx.laplacian_matrix(self.WG, weight=None).todense(), NL) + np.testing.assert_equal( + nx.laplacian_matrix(self.WG, weight="other").todense(), OL + ) + + np.testing.assert_equal(nx.laplacian_matrix(self.DiG).todense(), DiNL) + np.testing.assert_equal(nx.laplacian_matrix(self.DiMG).todense(), DiNL) + np.testing.assert_equal( + nx.laplacian_matrix(self.DiG, nodelist=[1, 2]).todense(), + np.array([[1, -1], [0, 0]]), + ) + np.testing.assert_equal(nx.laplacian_matrix(self.DiWG).todense(), DiWL) + np.testing.assert_equal( + nx.laplacian_matrix(self.DiWG, weight=None).todense(), DiNL + ) + np.testing.assert_equal( + nx.laplacian_matrix(self.DiWG, weight="other").todense(), DiOL + ) + + def test_normalized_laplacian(self): + "Generalized Graph Laplacian" + # fmt: off + G = np.array([[ 1. , -0.408, -0.408, -0.577, 0.], + [-0.408, 1. , -0.5 , 0. , 0.], + [-0.408, -0.5 , 1. , 0. , 0.], + [-0.577, 0. , 0. , 1. , 0.], + [ 0. , 0. , 0. , 0. , 0.]]) + GL = np.array([[ 1. , -0.408, -0.408, -0.577, 0. ], + [-0.408, 1. , -0.5 , 0. , 0. ], + [-0.408, -0.5 , 1. , 0. , 0. ], + [-0.577, 0. , 0. , 1. , 0. ], + [ 0. , 0. , 0. , 0. , 0. ]]) + Lsl = np.array([[ 0.75 , -0.2887, -0.2887, -0.3536, 0. ], + [-0.2887, 0.6667, -0.3333, 0. , 0. ], + [-0.2887, -0.3333, 0.6667, 0. , 0. ], + [-0.3536, 0. , 0. , 0.5 , 0. ], + [ 0. , 0. , 0. , 0. , 0. ]]) + + DiG = np.array([[ 1. , 0. , -0.4082, 0. , 0. , 0. ], + [ 0. , 0. , 0. , 0. , 0. , 0. ], + [-0.4082, 0. , 1. , 0. , -0.4082, 0. ], + [ 0. , 0. , 0. , 1. , -0.5 , -0.7071], + [ 0. , 0. , 0. , -0.5 , 1. , -0.7071], + [ 0. , 0. , 0. , -0.7071, 0. , 1. ]]) + DiGL = np.array([[ 1. , 0. , -0.4082, 0. , 0. , 0. ], + [ 0. , 0. , 0. , 0. , 0. , 0. ], + [-0.4082, 0. , 1. , -0.4082, 0. , 0. ], + [ 0. , 0. , 0. , 1. , -0.5 , -0.7071], + [ 0. , 0. , 0. , -0.5 , 1. , -0.7071], + [ 0. , 0. , 0. , 0. , -0.7071, 1. ]]) + DiLsl = np.array([[ 0.6667, -0.5774, -0.2887, 0. , 0. , 0. ], + [ 0. , 0. , 0. , 0. , 0. , 0. ], + [-0.2887, -0.5 , 0.75 , -0.2887, 0. , 0. ], + [ 0. , 0. , 0. , 0.6667, -0.3333, -0.4082], + [ 0. , 0. , 0. , -0.3333, 0.6667, -0.4082], + [ 0. , 0. , 0. , 0. , -0.4082, 0.5 ]]) + # fmt: on + + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.G, nodelist=range(5)).todense(), + G, + decimal=3, + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.G).todense(), GL, decimal=3 + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.MG).todense(), GL, decimal=3 + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.WG).todense(), GL, decimal=3 + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.WG, weight="other").todense(), + GL, + decimal=3, + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.Gsl).todense(), Lsl, decimal=3 + ) + + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix( + self.DiG, + nodelist=range(1, 1 + 6), + ).todense(), + DiG, + decimal=3, + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.DiG).todense(), DiGL, decimal=3 + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.DiMG).todense(), DiGL, decimal=3 + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.DiWG).todense(), DiGL, decimal=3 + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.DiWG, weight="other").todense(), + DiGL, + decimal=3, + ) + np.testing.assert_almost_equal( + nx.normalized_laplacian_matrix(self.DiGsl).todense(), DiLsl, decimal=3 + ) + + +def test_directed_laplacian(): + "Directed Laplacian" + # Graph used as an example in Sec. 4.1 of Langville and Meyer, + # "Google's PageRank and Beyond". The graph contains dangling nodes, so + # the pagerank random walk is selected by directed_laplacian + G = nx.DiGraph() + G.add_edges_from( + ( + (1, 2), + (1, 3), + (3, 1), + (3, 2), + (3, 5), + (4, 5), + (4, 6), + (5, 4), + (5, 6), + (6, 4), + ) + ) + # fmt: off + GL = np.array([[ 0.9833, -0.2941, -0.3882, -0.0291, -0.0231, -0.0261], + [-0.2941, 0.8333, -0.2339, -0.0536, -0.0589, -0.0554], + [-0.3882, -0.2339, 0.9833, -0.0278, -0.0896, -0.0251], + [-0.0291, -0.0536, -0.0278, 0.9833, -0.4878, -0.6675], + [-0.0231, -0.0589, -0.0896, -0.4878, 0.9833, -0.2078], + [-0.0261, -0.0554, -0.0251, -0.6675, -0.2078, 0.9833]]) + # fmt: on + L = nx.directed_laplacian_matrix(G, alpha=0.9, nodelist=sorted(G)) + np.testing.assert_almost_equal(L, GL, decimal=3) + + # Make the graph strongly connected, so we can use a random and lazy walk + G.add_edges_from(((2, 5), (6, 1))) + # fmt: off + GL = np.array([[ 1. , -0.3062, -0.4714, 0. , 0. , -0.3227], + [-0.3062, 1. , -0.1443, 0. , -0.3162, 0. ], + [-0.4714, -0.1443, 1. , 0. , -0.0913, 0. ], + [ 0. , 0. , 0. , 1. , -0.5 , -0.5 ], + [ 0. , -0.3162, -0.0913, -0.5 , 1. , -0.25 ], + [-0.3227, 0. , 0. , -0.5 , -0.25 , 1. ]]) + # fmt: on + L = nx.directed_laplacian_matrix( + G, alpha=0.9, nodelist=sorted(G), walk_type="random" + ) + np.testing.assert_almost_equal(L, GL, decimal=3) + + # fmt: off + GL = np.array([[ 0.5 , -0.1531, -0.2357, 0. , 0. , -0.1614], + [-0.1531, 0.5 , -0.0722, 0. , -0.1581, 0. ], + [-0.2357, -0.0722, 0.5 , 0. , -0.0456, 0. ], + [ 0. , 0. , 0. , 0.5 , -0.25 , -0.25 ], + [ 0. , -0.1581, -0.0456, -0.25 , 0.5 , -0.125 ], + [-0.1614, 0. , 0. , -0.25 , -0.125 , 0.5 ]]) + # fmt: on + L = nx.directed_laplacian_matrix(G, alpha=0.9, nodelist=sorted(G), walk_type="lazy") + np.testing.assert_almost_equal(L, GL, decimal=3) + + # Make a strongly connected periodic graph + G = nx.DiGraph() + G.add_edges_from(((1, 2), (2, 4), (4, 1), (1, 3), (3, 4))) + # fmt: off + GL = np.array([[ 0.5 , -0.176, -0.176, -0.25 ], + [-0.176, 0.5 , 0. , -0.176], + [-0.176, 0. , 0.5 , -0.176], + [-0.25 , -0.176, -0.176, 0.5 ]]) + # fmt: on + L = nx.directed_laplacian_matrix(G, alpha=0.9, nodelist=sorted(G)) + np.testing.assert_almost_equal(L, GL, decimal=3) + + +def test_directed_combinatorial_laplacian(): + "Directed combinatorial Laplacian" + # Graph used as an example in Sec. 4.1 of Langville and Meyer, + # "Google's PageRank and Beyond". The graph contains dangling nodes, so + # the pagerank random walk is selected by directed_laplacian + G = nx.DiGraph() + G.add_edges_from( + ( + (1, 2), + (1, 3), + (3, 1), + (3, 2), + (3, 5), + (4, 5), + (4, 6), + (5, 4), + (5, 6), + (6, 4), + ) + ) + # fmt: off + GL = np.array([[ 0.0366, -0.0132, -0.0153, -0.0034, -0.0020, -0.0027], + [-0.0132, 0.0450, -0.0111, -0.0076, -0.0062, -0.0069], + [-0.0153, -0.0111, 0.0408, -0.0035, -0.0083, -0.0027], + [-0.0034, -0.0076, -0.0035, 0.3688, -0.1356, -0.2187], + [-0.0020, -0.0062, -0.0083, -0.1356, 0.2026, -0.0505], + [-0.0027, -0.0069, -0.0027, -0.2187, -0.0505, 0.2815]]) + # fmt: on + + L = nx.directed_combinatorial_laplacian_matrix(G, alpha=0.9, nodelist=sorted(G)) + np.testing.assert_almost_equal(L, GL, decimal=3) + + # Make the graph strongly connected, so we can use a random and lazy walk + G.add_edges_from(((2, 5), (6, 1))) + + # fmt: off + GL = np.array([[ 0.1395, -0.0349, -0.0465, 0. , 0. , -0.0581], + [-0.0349, 0.093 , -0.0116, 0. , -0.0465, 0. ], + [-0.0465, -0.0116, 0.0698, 0. , -0.0116, 0. ], + [ 0. , 0. , 0. , 0.2326, -0.1163, -0.1163], + [ 0. , -0.0465, -0.0116, -0.1163, 0.2326, -0.0581], + [-0.0581, 0. , 0. , -0.1163, -0.0581, 0.2326]]) + # fmt: on + + L = nx.directed_combinatorial_laplacian_matrix( + G, alpha=0.9, nodelist=sorted(G), walk_type="random" + ) + np.testing.assert_almost_equal(L, GL, decimal=3) + + # fmt: off + GL = np.array([[ 0.0698, -0.0174, -0.0233, 0. , 0. , -0.0291], + [-0.0174, 0.0465, -0.0058, 0. , -0.0233, 0. ], + [-0.0233, -0.0058, 0.0349, 0. , -0.0058, 0. ], + [ 0. , 0. , 0. , 0.1163, -0.0581, -0.0581], + [ 0. , -0.0233, -0.0058, -0.0581, 0.1163, -0.0291], + [-0.0291, 0. , 0. , -0.0581, -0.0291, 0.1163]]) + # fmt: on + + L = nx.directed_combinatorial_laplacian_matrix( + G, alpha=0.9, nodelist=sorted(G), walk_type="lazy" + ) + np.testing.assert_almost_equal(L, GL, decimal=3) + + E = nx.DiGraph(margulis_gabber_galil_graph(2)) + L = nx.directed_combinatorial_laplacian_matrix(E) + # fmt: off + expected = np.array( + [[ 0.16666667, -0.08333333, -0.08333333, 0. ], + [-0.08333333, 0.16666667, 0. , -0.08333333], + [-0.08333333, 0. , 0.16666667, -0.08333333], + [ 0. , -0.08333333, -0.08333333, 0.16666667]] + ) + # fmt: on + np.testing.assert_almost_equal(L, expected, decimal=6) + + with pytest.raises(nx.NetworkXError): + nx.directed_combinatorial_laplacian_matrix(G, walk_type="pagerank", alpha=100) + with pytest.raises(nx.NetworkXError): + nx.directed_combinatorial_laplacian_matrix(G, walk_type="silly") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_modularity.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_modularity.py new file mode 100644 index 0000000000000000000000000000000000000000..9f94ff4db33a427fa2f0ef51470bc1c57c8b8682 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_modularity.py @@ -0,0 +1,87 @@ +import pytest + +np = pytest.importorskip("numpy") +pytest.importorskip("scipy") + +import networkx as nx +from networkx.generators.degree_seq import havel_hakimi_graph + + +class TestModularity: + @classmethod + def setup_class(cls): + deg = [3, 2, 2, 1, 0] + cls.G = havel_hakimi_graph(deg) + # Graph used as an example in Sec. 4.1 of Langville and Meyer, + # "Google's PageRank and Beyond". (Used for test_directed_laplacian) + cls.DG = nx.DiGraph() + cls.DG.add_edges_from( + ( + (1, 2), + (1, 3), + (3, 1), + (3, 2), + (3, 5), + (4, 5), + (4, 6), + (5, 4), + (5, 6), + (6, 4), + ) + ) + + def test_modularity(self): + "Modularity matrix" + # fmt: off + B = np.array([[-1.125, 0.25, 0.25, 0.625, 0.], + [0.25, -0.5, 0.5, -0.25, 0.], + [0.25, 0.5, -0.5, -0.25, 0.], + [0.625, -0.25, -0.25, -0.125, 0.], + [0., 0., 0., 0., 0.]]) + # fmt: on + + permutation = [4, 0, 1, 2, 3] + np.testing.assert_equal(nx.modularity_matrix(self.G), B) + np.testing.assert_equal( + nx.modularity_matrix(self.G, nodelist=permutation), + B[np.ix_(permutation, permutation)], + ) + + def test_modularity_weight(self): + "Modularity matrix with weights" + # fmt: off + B = np.array([[-1.125, 0.25, 0.25, 0.625, 0.], + [0.25, -0.5, 0.5, -0.25, 0.], + [0.25, 0.5, -0.5, -0.25, 0.], + [0.625, -0.25, -0.25, -0.125, 0.], + [0., 0., 0., 0., 0.]]) + # fmt: on + + G_weighted = self.G.copy() + for n1, n2 in G_weighted.edges(): + G_weighted.edges[n1, n2]["weight"] = 0.5 + # The following test would fail in networkx 1.1 + np.testing.assert_equal(nx.modularity_matrix(G_weighted), B) + # The following test that the modularity matrix get rescaled accordingly + np.testing.assert_equal( + nx.modularity_matrix(G_weighted, weight="weight"), 0.5 * B + ) + + def test_directed_modularity(self): + "Directed Modularity matrix" + # fmt: off + B = np.array([[-0.2, 0.6, 0.8, -0.4, -0.4, -0.4], + [0., 0., 0., 0., 0., 0.], + [0.7, 0.4, -0.3, -0.6, 0.4, -0.6], + [-0.2, -0.4, -0.2, -0.4, 0.6, 0.6], + [-0.2, -0.4, -0.2, 0.6, -0.4, 0.6], + [-0.1, -0.2, -0.1, 0.8, -0.2, -0.2]]) + # fmt: on + node_permutation = [5, 1, 2, 3, 4, 6] + idx_permutation = [4, 0, 1, 2, 3, 5] + mm = nx.directed_modularity_matrix(self.DG, nodelist=sorted(self.DG)) + np.testing.assert_equal(mm, B) + np.testing.assert_equal( + nx.directed_modularity_matrix(self.DG, nodelist=node_permutation), + B[np.ix_(idx_permutation, idx_permutation)], + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_spectrum.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_spectrum.py new file mode 100644 index 0000000000000000000000000000000000000000..e9101303cba60c56825101fa5762b56a3083e7af --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/linalg/tests/test_spectrum.py @@ -0,0 +1,71 @@ +import pytest + +np = pytest.importorskip("numpy") +pytest.importorskip("scipy") + +import networkx as nx +from networkx.generators.degree_seq import havel_hakimi_graph + + +class TestSpectrum: + @classmethod + def setup_class(cls): + deg = [3, 2, 2, 1, 0] + cls.G = havel_hakimi_graph(deg) + cls.P = nx.path_graph(3) + cls.WG = nx.Graph( + (u, v, {"weight": 0.5, "other": 0.3}) for (u, v) in cls.G.edges() + ) + cls.WG.add_node(4) + cls.DG = nx.DiGraph() + nx.add_path(cls.DG, [0, 1, 2]) + + def test_laplacian_spectrum(self): + "Laplacian eigenvalues" + evals = np.array([0, 0, 1, 3, 4]) + e = sorted(nx.laplacian_spectrum(self.G)) + np.testing.assert_almost_equal(e, evals) + e = sorted(nx.laplacian_spectrum(self.WG, weight=None)) + np.testing.assert_almost_equal(e, evals) + e = sorted(nx.laplacian_spectrum(self.WG)) + np.testing.assert_almost_equal(e, 0.5 * evals) + e = sorted(nx.laplacian_spectrum(self.WG, weight="other")) + np.testing.assert_almost_equal(e, 0.3 * evals) + + def test_normalized_laplacian_spectrum(self): + "Normalized Laplacian eigenvalues" + evals = np.array([0, 0, 0.7712864461218, 1.5, 1.7287135538781]) + e = sorted(nx.normalized_laplacian_spectrum(self.G)) + np.testing.assert_almost_equal(e, evals) + e = sorted(nx.normalized_laplacian_spectrum(self.WG, weight=None)) + np.testing.assert_almost_equal(e, evals) + e = sorted(nx.normalized_laplacian_spectrum(self.WG)) + np.testing.assert_almost_equal(e, evals) + e = sorted(nx.normalized_laplacian_spectrum(self.WG, weight="other")) + np.testing.assert_almost_equal(e, evals) + + def test_adjacency_spectrum(self): + "Adjacency eigenvalues" + evals = np.array([-np.sqrt(2), 0, np.sqrt(2)]) + e = sorted(nx.adjacency_spectrum(self.P)) + np.testing.assert_almost_equal(e, evals) + + def test_modularity_spectrum(self): + "Modularity eigenvalues" + evals = np.array([-1.5, 0.0, 0.0]) + e = sorted(nx.modularity_spectrum(self.P)) + np.testing.assert_almost_equal(e, evals) + # Directed modularity eigenvalues + evals = np.array([-0.5, 0.0, 0.0]) + e = sorted(nx.modularity_spectrum(self.DG)) + np.testing.assert_almost_equal(e, evals) + + def test_bethe_hessian_spectrum(self): + "Bethe Hessian eigenvalues" + evals = np.array([0.5 * (9 - np.sqrt(33)), 4, 0.5 * (9 + np.sqrt(33))]) + e = sorted(nx.bethe_hessian_spectrum(self.P, r=2)) + np.testing.assert_almost_equal(e, evals) + # Collapses back to Laplacian: + e1 = sorted(nx.bethe_hessian_spectrum(self.P, r=1)) + e2 = sorted(nx.laplacian_spectrum(self.P)) + np.testing.assert_almost_equal(e1, e2) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..a805c50a7b18bc818f7bb0a8978ee1e7e90277b5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/__init__.py @@ -0,0 +1,17 @@ +""" +A package for reading and writing graphs in various formats. + +""" + +from networkx.readwrite.adjlist import * +from networkx.readwrite.multiline_adjlist import * +from networkx.readwrite.edgelist import * +from networkx.readwrite.pajek import * +from networkx.readwrite.leda import * +from networkx.readwrite.sparse6 import * +from networkx.readwrite.graph6 import * +from networkx.readwrite.gml import * +from networkx.readwrite.graphml import * +from networkx.readwrite.gexf import * +from networkx.readwrite.json_graph import * +from networkx.readwrite.text import * diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/adjlist.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/adjlist.py new file mode 100644 index 0000000000000000000000000000000000000000..768af5ad73c148dc6300e66ecc4c440af6e231e8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/adjlist.py @@ -0,0 +1,310 @@ +""" +************** +Adjacency List +************** +Read and write NetworkX graphs as adjacency lists. + +Adjacency list format is useful for graphs without data associated +with nodes or edges and for nodes that can be meaningfully represented +as strings. + +Format +------ +The adjacency list format consists of lines with node labels. The +first label in a line is the source node. Further labels in the line +are considered target nodes and are added to the graph along with an edge +between the source node and target node. + +The graph with edges a-b, a-c, d-e can be represented as the following +adjacency list (anything following the # in a line is a comment):: + + a b c # source target target + d e +""" + +__all__ = ["generate_adjlist", "write_adjlist", "parse_adjlist", "read_adjlist"] + +import networkx as nx +from networkx.utils import open_file + + +def generate_adjlist(G, delimiter=" "): + """Generate a single line of the graph G in adjacency list format. + + Parameters + ---------- + G : NetworkX graph + + delimiter : string, optional + Separator for node labels + + Returns + ------- + lines : string + Lines of data in adjlist format. + + Examples + -------- + >>> G = nx.lollipop_graph(4, 3) + >>> for line in nx.generate_adjlist(G): + ... print(line) + 0 1 2 3 + 1 2 3 + 2 3 + 3 4 + 4 5 + 5 6 + 6 + + See Also + -------- + write_adjlist, read_adjlist + + Notes + ----- + The default `delimiter=" "` will result in unexpected results if node names contain + whitespace characters. To avoid this problem, specify an alternate delimiter when spaces are + valid in node names. + + NB: This option is not available for data that isn't user-generated. + + """ + directed = G.is_directed() + seen = set() + for s, nbrs in G.adjacency(): + line = str(s) + delimiter + for t, data in nbrs.items(): + if not directed and t in seen: + continue + if G.is_multigraph(): + for d in data.values(): + line += str(t) + delimiter + else: + line += str(t) + delimiter + if not directed: + seen.add(s) + yield line[: -len(delimiter)] + + +@open_file(1, mode="wb") +def write_adjlist(G, path, comments="#", delimiter=" ", encoding="utf-8"): + """Write graph G in single-line adjacency-list format to path. + + + Parameters + ---------- + G : NetworkX graph + + path : string or file + Filename or file handle for data output. + Filenames ending in .gz or .bz2 will be compressed. + + comments : string, optional + Marker for comment lines + + delimiter : string, optional + Separator for node labels + + encoding : string, optional + Text encoding. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_adjlist(G, "test.adjlist") + + The path can be a filehandle or a string with the name of the file. If a + filehandle is provided, it has to be opened in 'wb' mode. + + >>> fh = open("test.adjlist", "wb") + >>> nx.write_adjlist(G, fh) + + Notes + ----- + The default `delimiter=" "` will result in unexpected results if node names contain + whitespace characters. To avoid this problem, specify an alternate delimiter when spaces are + valid in node names. + NB: This option is not available for data that isn't user-generated. + + This format does not store graph, node, or edge data. + + See Also + -------- + read_adjlist, generate_adjlist + """ + import sys + import time + + pargs = comments + " ".join(sys.argv) + "\n" + header = ( + pargs + + comments + + f" GMT {time.asctime(time.gmtime())}\n" + + comments + + f" {G.name}\n" + ) + path.write(header.encode(encoding)) + + for line in generate_adjlist(G, delimiter): + line += "\n" + path.write(line.encode(encoding)) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_adjlist( + lines, comments="#", delimiter=None, create_using=None, nodetype=None +): + """Parse lines of a graph adjacency list representation. + + Parameters + ---------- + lines : list or iterator of strings + Input data in adjlist format + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + nodetype : Python type, optional + Convert nodes to this type. + + comments : string, optional + Marker for comment lines + + delimiter : string, optional + Separator for node labels. The default is whitespace. + + Returns + ------- + G: NetworkX graph + The graph corresponding to the lines in adjacency list format. + + Examples + -------- + >>> lines = ["1 2 5", "2 3 4", "3 5", "4", "5"] + >>> G = nx.parse_adjlist(lines, nodetype=int) + >>> nodes = [1, 2, 3, 4, 5] + >>> all(node in G for node in nodes) + True + >>> edges = [(1, 2), (1, 5), (2, 3), (2, 4), (3, 5)] + >>> all((u, v) in G.edges() or (v, u) in G.edges() for (u, v) in edges) + True + + See Also + -------- + read_adjlist + + """ + G = nx.empty_graph(0, create_using) + for line in lines: + p = line.find(comments) + if p >= 0: + line = line[:p] + if not len(line): + continue + vlist = line.rstrip("\n").split(delimiter) + u = vlist.pop(0) + # convert types + if nodetype is not None: + try: + u = nodetype(u) + except BaseException as err: + raise TypeError( + f"Failed to convert node ({u}) to type {nodetype}" + ) from err + G.add_node(u) + if nodetype is not None: + try: + vlist = list(map(nodetype, vlist)) + except BaseException as err: + raise TypeError( + f"Failed to convert nodes ({','.join(vlist)}) to type {nodetype}" + ) from err + G.add_edges_from([(u, v) for v in vlist]) + return G + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_adjlist( + path, + comments="#", + delimiter=None, + create_using=None, + nodetype=None, + encoding="utf-8", +): + """Read graph in adjacency list format from path. + + Parameters + ---------- + path : string or file + Filename or file handle to read. + Filenames ending in .gz or .bz2 will be uncompressed. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + nodetype : Python type, optional + Convert nodes to this type. + + comments : string, optional + Marker for comment lines + + delimiter : string, optional + Separator for node labels. The default is whitespace. + + Returns + ------- + G: NetworkX graph + The graph corresponding to the lines in adjacency list format. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_adjlist(G, "test.adjlist") + >>> G = nx.read_adjlist("test.adjlist") + + The path can be a filehandle or a string with the name of the file. If a + filehandle is provided, it has to be opened in 'rb' mode. + + >>> fh = open("test.adjlist", "rb") + >>> G = nx.read_adjlist(fh) + + Filenames ending in .gz or .bz2 will be compressed. + + >>> nx.write_adjlist(G, "test.adjlist.gz") + >>> G = nx.read_adjlist("test.adjlist.gz") + + The optional nodetype is a function to convert node strings to nodetype. + + For example + + >>> G = nx.read_adjlist("test.adjlist", nodetype=int) + + will attempt to convert all nodes to integer type. + + Since nodes must be hashable, the function nodetype must return hashable + types (e.g. int, float, str, frozenset - or tuples of those, etc.) + + The optional create_using parameter indicates the type of NetworkX graph + created. The default is `nx.Graph`, an undirected graph. + To read the data as a directed graph use + + >>> G = nx.read_adjlist("test.adjlist", create_using=nx.DiGraph) + + Notes + ----- + This format does not store graph or node data. + + See Also + -------- + write_adjlist + """ + lines = (line.decode(encoding) for line in path) + return parse_adjlist( + lines, + comments=comments, + delimiter=delimiter, + create_using=create_using, + nodetype=nodetype, + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/edgelist.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/edgelist.py new file mode 100644 index 0000000000000000000000000000000000000000..393b64ed7fec4a632fcaded6cb25fd7a6393a0bf --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/edgelist.py @@ -0,0 +1,489 @@ +""" +********** +Edge Lists +********** +Read and write NetworkX graphs as edge lists. + +The multi-line adjacency list format is useful for graphs with nodes +that can be meaningfully represented as strings. With the edgelist +format simple edge data can be stored but node or graph data is not. +There is no way of representing isolated nodes unless the node has a +self-loop edge. + +Format +------ +You can read or write three formats of edge lists with these functions. + +Node pairs with no data:: + + 1 2 + +Python dictionary as data:: + + 1 2 {'weight':7, 'color':'green'} + +Arbitrary data:: + + 1 2 7 green +""" + +__all__ = [ + "generate_edgelist", + "write_edgelist", + "parse_edgelist", + "read_edgelist", + "read_weighted_edgelist", + "write_weighted_edgelist", +] + +import networkx as nx +from networkx.utils import open_file + + +def generate_edgelist(G, delimiter=" ", data=True): + """Generate a single line of the graph G in edge list format. + + Parameters + ---------- + G : NetworkX graph + + delimiter : string, optional + Separator for node labels + + data : bool or list of keys + If False generate no edge data. If True use a dictionary + representation of edge data. If a list of keys use a list of data + values corresponding to the keys. + + Returns + ------- + lines : string + Lines of data in adjlist format. + + Examples + -------- + >>> G = nx.lollipop_graph(4, 3) + >>> G[1][2]["weight"] = 3 + >>> G[3][4]["capacity"] = 12 + >>> for line in nx.generate_edgelist(G, data=False): + ... print(line) + 0 1 + 0 2 + 0 3 + 1 2 + 1 3 + 2 3 + 3 4 + 4 5 + 5 6 + + >>> for line in nx.generate_edgelist(G): + ... print(line) + 0 1 {} + 0 2 {} + 0 3 {} + 1 2 {'weight': 3} + 1 3 {} + 2 3 {} + 3 4 {'capacity': 12} + 4 5 {} + 5 6 {} + + >>> for line in nx.generate_edgelist(G, data=["weight"]): + ... print(line) + 0 1 + 0 2 + 0 3 + 1 2 3 + 1 3 + 2 3 + 3 4 + 4 5 + 5 6 + + See Also + -------- + write_adjlist, read_adjlist + """ + if data is True: + for u, v, d in G.edges(data=True): + e = u, v, dict(d) + yield delimiter.join(map(str, e)) + elif data is False: + for u, v in G.edges(data=False): + e = u, v + yield delimiter.join(map(str, e)) + else: + for u, v, d in G.edges(data=True): + e = [u, v] + try: + e.extend(d[k] for k in data) + except KeyError: + pass # missing data for this edge, should warn? + yield delimiter.join(map(str, e)) + + +@open_file(1, mode="wb") +def write_edgelist(G, path, comments="#", delimiter=" ", data=True, encoding="utf-8"): + """Write graph as a list of edges. + + Parameters + ---------- + G : graph + A NetworkX graph + path : file or string + File or filename to write. If a file is provided, it must be + opened in 'wb' mode. Filenames ending in .gz or .bz2 will be compressed. + comments : string, optional + The character used to indicate the start of a comment + delimiter : string, optional + The string used to separate values. The default is whitespace. + data : bool or list, optional + If False write no edge data. + If True write a string representation of the edge data dictionary.. + If a list (or other iterable) is provided, write the keys specified + in the list. + encoding: string, optional + Specify which encoding to use when writing file. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_edgelist(G, "test.edgelist") + >>> G = nx.path_graph(4) + >>> fh = open("test.edgelist", "wb") + >>> nx.write_edgelist(G, fh) + >>> nx.write_edgelist(G, "test.edgelist.gz") + >>> nx.write_edgelist(G, "test.edgelist.gz", data=False) + + >>> G = nx.Graph() + >>> G.add_edge(1, 2, weight=7, color="red") + >>> nx.write_edgelist(G, "test.edgelist", data=False) + >>> nx.write_edgelist(G, "test.edgelist", data=["color"]) + >>> nx.write_edgelist(G, "test.edgelist", data=["color", "weight"]) + + See Also + -------- + read_edgelist + write_weighted_edgelist + """ + + for line in generate_edgelist(G, delimiter, data): + line += "\n" + path.write(line.encode(encoding)) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_edgelist( + lines, comments="#", delimiter=None, create_using=None, nodetype=None, data=True +): + """Parse lines of an edge list representation of a graph. + + Parameters + ---------- + lines : list or iterator of strings + Input data in edgelist format + comments : string, optional + Marker for comment lines. Default is `'#'`. To specify that no character + should be treated as a comment, use ``comments=None``. + delimiter : string, optional + Separator for node labels. Default is `None`, meaning any whitespace. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + nodetype : Python type, optional + Convert nodes to this type. Default is `None`, meaning no conversion is + performed. + data : bool or list of (label,type) tuples + If `False` generate no edge data or if `True` use a dictionary + representation of edge data or a list tuples specifying dictionary + key names and types for edge data. + + Returns + ------- + G: NetworkX Graph + The graph corresponding to lines + + Examples + -------- + Edgelist with no data: + + >>> lines = ["1 2", "2 3", "3 4"] + >>> G = nx.parse_edgelist(lines, nodetype=int) + >>> list(G) + [1, 2, 3, 4] + >>> list(G.edges()) + [(1, 2), (2, 3), (3, 4)] + + Edgelist with data in Python dictionary representation: + + >>> lines = ["1 2 {'weight': 3}", "2 3 {'weight': 27}", "3 4 {'weight': 3.0}"] + >>> G = nx.parse_edgelist(lines, nodetype=int) + >>> list(G) + [1, 2, 3, 4] + >>> list(G.edges(data=True)) + [(1, 2, {'weight': 3}), (2, 3, {'weight': 27}), (3, 4, {'weight': 3.0})] + + Edgelist with data in a list: + + >>> lines = ["1 2 3", "2 3 27", "3 4 3.0"] + >>> G = nx.parse_edgelist(lines, nodetype=int, data=(("weight", float),)) + >>> list(G) + [1, 2, 3, 4] + >>> list(G.edges(data=True)) + [(1, 2, {'weight': 3.0}), (2, 3, {'weight': 27.0}), (3, 4, {'weight': 3.0})] + + See Also + -------- + read_weighted_edgelist + """ + from ast import literal_eval + + G = nx.empty_graph(0, create_using) + for line in lines: + if comments is not None: + p = line.find(comments) + if p >= 0: + line = line[:p] + if not line: + continue + # split line, should have 2 or more + s = line.rstrip("\n").split(delimiter) + if len(s) < 2: + continue + u = s.pop(0) + v = s.pop(0) + d = s + if nodetype is not None: + try: + u = nodetype(u) + v = nodetype(v) + except Exception as err: + raise TypeError( + f"Failed to convert nodes {u},{v} to type {nodetype}." + ) from err + + if len(d) == 0 or data is False: + # no data or data type specified + edgedata = {} + elif data is True: + # no edge types specified + try: # try to evaluate as dictionary + if delimiter == ",": + edgedata_str = ",".join(d) + else: + edgedata_str = " ".join(d) + edgedata = dict(literal_eval(edgedata_str.strip())) + except Exception as err: + raise TypeError( + f"Failed to convert edge data ({d}) to dictionary." + ) from err + else: + # convert edge data to dictionary with specified keys and type + if len(d) != len(data): + raise IndexError( + f"Edge data {d} and data_keys {data} are not the same length" + ) + edgedata = {} + for (edge_key, edge_type), edge_value in zip(data, d): + try: + edge_value = edge_type(edge_value) + except Exception as err: + raise TypeError( + f"Failed to convert {edge_key} data {edge_value} " + f"to type {edge_type}." + ) from err + edgedata.update({edge_key: edge_value}) + G.add_edge(u, v, **edgedata) + return G + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_edgelist( + path, + comments="#", + delimiter=None, + create_using=None, + nodetype=None, + data=True, + edgetype=None, + encoding="utf-8", +): + """Read a graph from a list of edges. + + Parameters + ---------- + path : file or string + File or filename to read. If a file is provided, it must be + opened in 'rb' mode. + Filenames ending in .gz or .bz2 will be uncompressed. + comments : string, optional + The character used to indicate the start of a comment. To specify that + no character should be treated as a comment, use ``comments=None``. + delimiter : string, optional + The string used to separate values. The default is whitespace. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + nodetype : int, float, str, Python type, optional + Convert node data from strings to specified type + data : bool or list of (label,type) tuples + Tuples specifying dictionary key names and types for edge data + edgetype : int, float, str, Python type, optional OBSOLETE + Convert edge data from strings to specified type and use as 'weight' + encoding: string, optional + Specify which encoding to use when reading file. + + Returns + ------- + G : graph + A networkx Graph or other type specified with create_using + + Examples + -------- + >>> nx.write_edgelist(nx.path_graph(4), "test.edgelist") + >>> G = nx.read_edgelist("test.edgelist") + + >>> fh = open("test.edgelist", "rb") + >>> G = nx.read_edgelist(fh) + >>> fh.close() + + >>> G = nx.read_edgelist("test.edgelist", nodetype=int) + >>> G = nx.read_edgelist("test.edgelist", create_using=nx.DiGraph) + + Edgelist with data in a list: + + >>> textline = "1 2 3" + >>> fh = open("test.edgelist", "w") + >>> d = fh.write(textline) + >>> fh.close() + >>> G = nx.read_edgelist("test.edgelist", nodetype=int, data=(("weight", float),)) + >>> list(G) + [1, 2] + >>> list(G.edges(data=True)) + [(1, 2, {'weight': 3.0})] + + See parse_edgelist() for more examples of formatting. + + See Also + -------- + parse_edgelist + write_edgelist + + Notes + ----- + Since nodes must be hashable, the function nodetype must return hashable + types (e.g. int, float, str, frozenset - or tuples of those, etc.) + """ + lines = (line if isinstance(line, str) else line.decode(encoding) for line in path) + return parse_edgelist( + lines, + comments=comments, + delimiter=delimiter, + create_using=create_using, + nodetype=nodetype, + data=data, + ) + + +def write_weighted_edgelist(G, path, comments="#", delimiter=" ", encoding="utf-8"): + """Write graph G as a list of edges with numeric weights. + + Parameters + ---------- + G : graph + A NetworkX graph + path : file or string + File or filename to write. If a file is provided, it must be + opened in 'wb' mode. + Filenames ending in .gz or .bz2 will be compressed. + comments : string, optional + The character used to indicate the start of a comment + delimiter : string, optional + The string used to separate values. The default is whitespace. + encoding: string, optional + Specify which encoding to use when writing file. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_edge(1, 2, weight=7) + >>> nx.write_weighted_edgelist(G, "test.weighted.edgelist") + + See Also + -------- + read_edgelist + write_edgelist + read_weighted_edgelist + """ + write_edgelist( + G, + path, + comments=comments, + delimiter=delimiter, + data=("weight",), + encoding=encoding, + ) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def read_weighted_edgelist( + path, + comments="#", + delimiter=None, + create_using=None, + nodetype=None, + encoding="utf-8", +): + """Read a graph as list of edges with numeric weights. + + Parameters + ---------- + path : file or string + File or filename to read. If a file is provided, it must be + opened in 'rb' mode. + Filenames ending in .gz or .bz2 will be uncompressed. + comments : string, optional + The character used to indicate the start of a comment. + delimiter : string, optional + The string used to separate values. The default is whitespace. + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + nodetype : int, float, str, Python type, optional + Convert node data from strings to specified type + encoding: string, optional + Specify which encoding to use when reading file. + + Returns + ------- + G : graph + A networkx Graph or other type specified with create_using + + Notes + ----- + Since nodes must be hashable, the function nodetype must return hashable + types (e.g. int, float, str, frozenset - or tuples of those, etc.) + + Example edgelist file format. + + With numeric edge data:: + + # read with + # >>> G=nx.read_weighted_edgelist(fh) + # source target data + a b 1 + a c 3.14159 + d e 42 + + See Also + -------- + write_weighted_edgelist + """ + return read_edgelist( + path, + comments=comments, + delimiter=delimiter, + create_using=create_using, + nodetype=nodetype, + data=(("weight", float),), + encoding=encoding, + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/gexf.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/gexf.py new file mode 100644 index 0000000000000000000000000000000000000000..f830dd12df609762a4c26bca9c8640474afe426e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/gexf.py @@ -0,0 +1,1066 @@ +"""Read and write graphs in GEXF format. + +.. warning:: + This parser uses the standard xml library present in Python, which is + insecure - see :external+python:mod:`xml` for additional information. + Only parse GEFX files you trust. + +GEXF (Graph Exchange XML Format) is a language for describing complex +network structures, their associated data and dynamics. + +This implementation does not support mixed graphs (directed and +undirected edges together). + +Format +------ +GEXF is an XML format. See http://gexf.net/schema.html for the +specification and http://gexf.net/basic.html for examples. +""" + +import itertools +import time +from xml.etree.ElementTree import ( + Element, + ElementTree, + SubElement, + register_namespace, + tostring, +) + +import networkx as nx +from networkx.utils import open_file + +__all__ = ["write_gexf", "read_gexf", "relabel_gexf_graph", "generate_gexf"] + + +@open_file(1, mode="wb") +def write_gexf(G, path, encoding="utf-8", prettyprint=True, version="1.2draft"): + """Write G in GEXF format to path. + + "GEXF (Graph Exchange XML Format) is a language for describing + complex networks structures, their associated data and dynamics" [1]_. + + Node attributes are checked according to the version of the GEXF + schemas used for parameters which are not user defined, + e.g. visualization 'viz' [2]_. See example for usage. + + Parameters + ---------- + G : graph + A NetworkX graph + path : file or string + File or file name to write. + File names ending in .gz or .bz2 will be compressed. + encoding : string (optional, default: 'utf-8') + Encoding for text data. + prettyprint : bool (optional, default: True) + If True use line breaks and indenting in output XML. + version: string (optional, default: '1.2draft') + The version of GEXF to be used for nodes attributes checking + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_gexf(G, "test.gexf") + + # visualization data + >>> G.nodes[0]["viz"] = {"size": 54} + >>> G.nodes[0]["viz"]["position"] = {"x": 0, "y": 1} + >>> G.nodes[0]["viz"]["color"] = {"r": 0, "g": 0, "b": 256} + + + Notes + ----- + This implementation does not support mixed graphs (directed and undirected + edges together). + + The node id attribute is set to be the string of the node label. + If you want to specify an id use set it as node data, e.g. + node['a']['id']=1 to set the id of node 'a' to 1. + + References + ---------- + .. [1] GEXF File Format, http://gexf.net/ + .. [2] GEXF schema, http://gexf.net/schema.html + """ + writer = GEXFWriter(encoding=encoding, prettyprint=prettyprint, version=version) + writer.add_graph(G) + writer.write(path) + + +def generate_gexf(G, encoding="utf-8", prettyprint=True, version="1.2draft"): + """Generate lines of GEXF format representation of G. + + "GEXF (Graph Exchange XML Format) is a language for describing + complex networks structures, their associated data and dynamics" [1]_. + + Parameters + ---------- + G : graph + A NetworkX graph + encoding : string (optional, default: 'utf-8') + Encoding for text data. + prettyprint : bool (optional, default: True) + If True use line breaks and indenting in output XML. + version : string (default: 1.2draft) + Version of GEFX File Format (see http://gexf.net/schema.html) + Supported values: "1.1draft", "1.2draft" + + + Examples + -------- + >>> G = nx.path_graph(4) + >>> linefeed = chr(10) # linefeed=\n + >>> s = linefeed.join(nx.generate_gexf(G)) + >>> for line in nx.generate_gexf(G): # doctest: +SKIP + ... print(line) + + Notes + ----- + This implementation does not support mixed graphs (directed and undirected + edges together). + + The node id attribute is set to be the string of the node label. + If you want to specify an id use set it as node data, e.g. + node['a']['id']=1 to set the id of node 'a' to 1. + + References + ---------- + .. [1] GEXF File Format, https://gephi.org/gexf/format/ + """ + writer = GEXFWriter(encoding=encoding, prettyprint=prettyprint, version=version) + writer.add_graph(G) + yield from str(writer).splitlines() + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_gexf(path, node_type=None, relabel=False, version="1.2draft"): + """Read graph in GEXF format from path. + + "GEXF (Graph Exchange XML Format) is a language for describing + complex networks structures, their associated data and dynamics" [1]_. + + Parameters + ---------- + path : file or string + File or file name to read. + File names ending in .gz or .bz2 will be decompressed. + node_type: Python type (default: None) + Convert node ids to this type if not None. + relabel : bool (default: False) + If True relabel the nodes to use the GEXF node "label" attribute + instead of the node "id" attribute as the NetworkX node label. + version : string (default: 1.2draft) + Version of GEFX File Format (see http://gexf.net/schema.html) + Supported values: "1.1draft", "1.2draft" + + Returns + ------- + graph: NetworkX graph + If no parallel edges are found a Graph or DiGraph is returned. + Otherwise a MultiGraph or MultiDiGraph is returned. + + Notes + ----- + This implementation does not support mixed graphs (directed and undirected + edges together). + + References + ---------- + .. [1] GEXF File Format, http://gexf.net/ + """ + reader = GEXFReader(node_type=node_type, version=version) + if relabel: + G = relabel_gexf_graph(reader(path)) + else: + G = reader(path) + return G + + +class GEXF: + versions = { + "1.1draft": { + "NS_GEXF": "http://www.gexf.net/1.1draft", + "NS_VIZ": "http://www.gexf.net/1.1draft/viz", + "NS_XSI": "http://www.w3.org/2001/XMLSchema-instance", + "SCHEMALOCATION": " ".join( + [ + "http://www.gexf.net/1.1draft", + "http://www.gexf.net/1.1draft/gexf.xsd", + ] + ), + "VERSION": "1.1", + }, + "1.2draft": { + "NS_GEXF": "http://www.gexf.net/1.2draft", + "NS_VIZ": "http://www.gexf.net/1.2draft/viz", + "NS_XSI": "http://www.w3.org/2001/XMLSchema-instance", + "SCHEMALOCATION": " ".join( + [ + "http://www.gexf.net/1.2draft", + "http://www.gexf.net/1.2draft/gexf.xsd", + ] + ), + "VERSION": "1.2", + }, + } + + def construct_types(self): + types = [ + (int, "integer"), + (float, "float"), + (float, "double"), + (bool, "boolean"), + (list, "string"), + (dict, "string"), + (int, "long"), + (str, "liststring"), + (str, "anyURI"), + (str, "string"), + ] + + # These additions to types allow writing numpy types + try: + import numpy as np + except ImportError: + pass + else: + # prepend so that python types are created upon read (last entry wins) + types = [ + (np.float64, "float"), + (np.float32, "float"), + (np.float16, "float"), + (np.int_, "int"), + (np.int8, "int"), + (np.int16, "int"), + (np.int32, "int"), + (np.int64, "int"), + (np.uint8, "int"), + (np.uint16, "int"), + (np.uint32, "int"), + (np.uint64, "int"), + (np.int_, "int"), + (np.intc, "int"), + (np.intp, "int"), + ] + types + + self.xml_type = dict(types) + self.python_type = dict(reversed(a) for a in types) + + # http://www.w3.org/TR/xmlschema-2/#boolean + convert_bool = { + "true": True, + "false": False, + "True": True, + "False": False, + "0": False, + 0: False, + "1": True, + 1: True, + } + + def set_version(self, version): + d = self.versions.get(version) + if d is None: + raise nx.NetworkXError(f"Unknown GEXF version {version}.") + self.NS_GEXF = d["NS_GEXF"] + self.NS_VIZ = d["NS_VIZ"] + self.NS_XSI = d["NS_XSI"] + self.SCHEMALOCATION = d["SCHEMALOCATION"] + self.VERSION = d["VERSION"] + self.version = version + + +class GEXFWriter(GEXF): + # class for writing GEXF format files + # use write_gexf() function + def __init__( + self, graph=None, encoding="utf-8", prettyprint=True, version="1.2draft" + ): + self.construct_types() + self.prettyprint = prettyprint + self.encoding = encoding + self.set_version(version) + self.xml = Element( + "gexf", + { + "xmlns": self.NS_GEXF, + "xmlns:xsi": self.NS_XSI, + "xsi:schemaLocation": self.SCHEMALOCATION, + "version": self.VERSION, + }, + ) + + # Make meta element a non-graph element + # Also add lastmodifieddate as attribute, not tag + meta_element = Element("meta") + subelement_text = f"NetworkX {nx.__version__}" + SubElement(meta_element, "creator").text = subelement_text + meta_element.set("lastmodifieddate", time.strftime("%Y-%m-%d")) + self.xml.append(meta_element) + + register_namespace("viz", self.NS_VIZ) + + # counters for edge and attribute identifiers + self.edge_id = itertools.count() + self.attr_id = itertools.count() + self.all_edge_ids = set() + # default attributes are stored in dictionaries + self.attr = {} + self.attr["node"] = {} + self.attr["edge"] = {} + self.attr["node"]["dynamic"] = {} + self.attr["node"]["static"] = {} + self.attr["edge"]["dynamic"] = {} + self.attr["edge"]["static"] = {} + + if graph is not None: + self.add_graph(graph) + + def __str__(self): + if self.prettyprint: + self.indent(self.xml) + s = tostring(self.xml).decode(self.encoding) + return s + + def add_graph(self, G): + # first pass through G collecting edge ids + for u, v, dd in G.edges(data=True): + eid = dd.get("id") + if eid is not None: + self.all_edge_ids.add(str(eid)) + # set graph attributes + if G.graph.get("mode") == "dynamic": + mode = "dynamic" + else: + mode = "static" + # Add a graph element to the XML + if G.is_directed(): + default = "directed" + else: + default = "undirected" + name = G.graph.get("name", "") + graph_element = Element("graph", defaultedgetype=default, mode=mode, name=name) + self.graph_element = graph_element + self.add_nodes(G, graph_element) + self.add_edges(G, graph_element) + self.xml.append(graph_element) + + def add_nodes(self, G, graph_element): + nodes_element = Element("nodes") + for node, data in G.nodes(data=True): + node_data = data.copy() + node_id = str(node_data.pop("id", node)) + kw = {"id": node_id} + label = str(node_data.pop("label", node)) + kw["label"] = label + try: + pid = node_data.pop("pid") + kw["pid"] = str(pid) + except KeyError: + pass + try: + start = node_data.pop("start") + kw["start"] = str(start) + self.alter_graph_mode_timeformat(start) + except KeyError: + pass + try: + end = node_data.pop("end") + kw["end"] = str(end) + self.alter_graph_mode_timeformat(end) + except KeyError: + pass + # add node element with attributes + node_element = Element("node", **kw) + # add node element and attr subelements + default = G.graph.get("node_default", {}) + node_data = self.add_parents(node_element, node_data) + if self.VERSION == "1.1": + node_data = self.add_slices(node_element, node_data) + else: + node_data = self.add_spells(node_element, node_data) + node_data = self.add_viz(node_element, node_data) + node_data = self.add_attributes("node", node_element, node_data, default) + nodes_element.append(node_element) + graph_element.append(nodes_element) + + def add_edges(self, G, graph_element): + def edge_key_data(G): + # helper function to unify multigraph and graph edge iterator + if G.is_multigraph(): + for u, v, key, data in G.edges(data=True, keys=True): + edge_data = data.copy() + edge_data.update(key=key) + edge_id = edge_data.pop("id", None) + if edge_id is None: + edge_id = next(self.edge_id) + while str(edge_id) in self.all_edge_ids: + edge_id = next(self.edge_id) + self.all_edge_ids.add(str(edge_id)) + yield u, v, edge_id, edge_data + else: + for u, v, data in G.edges(data=True): + edge_data = data.copy() + edge_id = edge_data.pop("id", None) + if edge_id is None: + edge_id = next(self.edge_id) + while str(edge_id) in self.all_edge_ids: + edge_id = next(self.edge_id) + self.all_edge_ids.add(str(edge_id)) + yield u, v, edge_id, edge_data + + edges_element = Element("edges") + for u, v, key, edge_data in edge_key_data(G): + kw = {"id": str(key)} + try: + edge_label = edge_data.pop("label") + kw["label"] = str(edge_label) + except KeyError: + pass + try: + edge_weight = edge_data.pop("weight") + kw["weight"] = str(edge_weight) + except KeyError: + pass + try: + edge_type = edge_data.pop("type") + kw["type"] = str(edge_type) + except KeyError: + pass + try: + start = edge_data.pop("start") + kw["start"] = str(start) + self.alter_graph_mode_timeformat(start) + except KeyError: + pass + try: + end = edge_data.pop("end") + kw["end"] = str(end) + self.alter_graph_mode_timeformat(end) + except KeyError: + pass + source_id = str(G.nodes[u].get("id", u)) + target_id = str(G.nodes[v].get("id", v)) + edge_element = Element("edge", source=source_id, target=target_id, **kw) + default = G.graph.get("edge_default", {}) + if self.VERSION == "1.1": + edge_data = self.add_slices(edge_element, edge_data) + else: + edge_data = self.add_spells(edge_element, edge_data) + edge_data = self.add_viz(edge_element, edge_data) + edge_data = self.add_attributes("edge", edge_element, edge_data, default) + edges_element.append(edge_element) + graph_element.append(edges_element) + + def add_attributes(self, node_or_edge, xml_obj, data, default): + # Add attrvalues to node or edge + attvalues = Element("attvalues") + if len(data) == 0: + return data + mode = "static" + for k, v in data.items(): + # rename generic multigraph key to avoid any name conflict + if k == "key": + k = "networkx_key" + val_type = type(v) + if val_type not in self.xml_type: + raise TypeError(f"attribute value type is not allowed: {val_type}") + if isinstance(v, list): + # dynamic data + for val, start, end in v: + val_type = type(val) + if start is not None or end is not None: + mode = "dynamic" + self.alter_graph_mode_timeformat(start) + self.alter_graph_mode_timeformat(end) + break + attr_id = self.get_attr_id( + str(k), self.xml_type[val_type], node_or_edge, default, mode + ) + for val, start, end in v: + e = Element("attvalue") + e.attrib["for"] = attr_id + e.attrib["value"] = str(val) + # Handle nan, inf, -inf differently + if val_type == float: + if e.attrib["value"] == "inf": + e.attrib["value"] = "INF" + elif e.attrib["value"] == "nan": + e.attrib["value"] = "NaN" + elif e.attrib["value"] == "-inf": + e.attrib["value"] = "-INF" + if start is not None: + e.attrib["start"] = str(start) + if end is not None: + e.attrib["end"] = str(end) + attvalues.append(e) + else: + # static data + mode = "static" + attr_id = self.get_attr_id( + str(k), self.xml_type[val_type], node_or_edge, default, mode + ) + e = Element("attvalue") + e.attrib["for"] = attr_id + if isinstance(v, bool): + e.attrib["value"] = str(v).lower() + else: + e.attrib["value"] = str(v) + # Handle float nan, inf, -inf differently + if val_type == float: + if e.attrib["value"] == "inf": + e.attrib["value"] = "INF" + elif e.attrib["value"] == "nan": + e.attrib["value"] = "NaN" + elif e.attrib["value"] == "-inf": + e.attrib["value"] = "-INF" + attvalues.append(e) + xml_obj.append(attvalues) + return data + + def get_attr_id(self, title, attr_type, edge_or_node, default, mode): + # find the id of the attribute or generate a new id + try: + return self.attr[edge_or_node][mode][title] + except KeyError: + # generate new id + new_id = str(next(self.attr_id)) + self.attr[edge_or_node][mode][title] = new_id + attr_kwargs = {"id": new_id, "title": title, "type": attr_type} + attribute = Element("attribute", **attr_kwargs) + # add subelement for data default value if present + default_title = default.get(title) + if default_title is not None: + default_element = Element("default") + default_element.text = str(default_title) + attribute.append(default_element) + # new insert it into the XML + attributes_element = None + for a in self.graph_element.findall("attributes"): + # find existing attributes element by class and mode + a_class = a.get("class") + a_mode = a.get("mode", "static") + if a_class == edge_or_node and a_mode == mode: + attributes_element = a + if attributes_element is None: + # create new attributes element + attr_kwargs = {"mode": mode, "class": edge_or_node} + attributes_element = Element("attributes", **attr_kwargs) + self.graph_element.insert(0, attributes_element) + attributes_element.append(attribute) + return new_id + + def add_viz(self, element, node_data): + viz = node_data.pop("viz", False) + if viz: + color = viz.get("color") + if color is not None: + if self.VERSION == "1.1": + e = Element( + f"{{{self.NS_VIZ}}}color", + r=str(color.get("r")), + g=str(color.get("g")), + b=str(color.get("b")), + ) + else: + e = Element( + f"{{{self.NS_VIZ}}}color", + r=str(color.get("r")), + g=str(color.get("g")), + b=str(color.get("b")), + a=str(color.get("a", 1.0)), + ) + element.append(e) + + size = viz.get("size") + if size is not None: + e = Element(f"{{{self.NS_VIZ}}}size", value=str(size)) + element.append(e) + + thickness = viz.get("thickness") + if thickness is not None: + e = Element(f"{{{self.NS_VIZ}}}thickness", value=str(thickness)) + element.append(e) + + shape = viz.get("shape") + if shape is not None: + if shape.startswith("http"): + e = Element( + f"{{{self.NS_VIZ}}}shape", value="image", uri=str(shape) + ) + else: + e = Element(f"{{{self.NS_VIZ}}}shape", value=str(shape)) + element.append(e) + + position = viz.get("position") + if position is not None: + e = Element( + f"{{{self.NS_VIZ}}}position", + x=str(position.get("x")), + y=str(position.get("y")), + z=str(position.get("z")), + ) + element.append(e) + return node_data + + def add_parents(self, node_element, node_data): + parents = node_data.pop("parents", False) + if parents: + parents_element = Element("parents") + for p in parents: + e = Element("parent") + e.attrib["for"] = str(p) + parents_element.append(e) + node_element.append(parents_element) + return node_data + + def add_slices(self, node_or_edge_element, node_or_edge_data): + slices = node_or_edge_data.pop("slices", False) + if slices: + slices_element = Element("slices") + for start, end in slices: + e = Element("slice", start=str(start), end=str(end)) + slices_element.append(e) + node_or_edge_element.append(slices_element) + return node_or_edge_data + + def add_spells(self, node_or_edge_element, node_or_edge_data): + spells = node_or_edge_data.pop("spells", False) + if spells: + spells_element = Element("spells") + for start, end in spells: + e = Element("spell") + if start is not None: + e.attrib["start"] = str(start) + self.alter_graph_mode_timeformat(start) + if end is not None: + e.attrib["end"] = str(end) + self.alter_graph_mode_timeformat(end) + spells_element.append(e) + node_or_edge_element.append(spells_element) + return node_or_edge_data + + def alter_graph_mode_timeformat(self, start_or_end): + # If 'start' or 'end' appears, alter Graph mode to dynamic and + # set timeformat + if self.graph_element.get("mode") == "static": + if start_or_end is not None: + if isinstance(start_or_end, str): + timeformat = "date" + elif isinstance(start_or_end, float): + timeformat = "double" + elif isinstance(start_or_end, int): + timeformat = "long" + else: + raise nx.NetworkXError( + "timeformat should be of the type int, float or str" + ) + self.graph_element.set("timeformat", timeformat) + self.graph_element.set("mode", "dynamic") + + def write(self, fh): + # Serialize graph G in GEXF to the open fh + if self.prettyprint: + self.indent(self.xml) + document = ElementTree(self.xml) + document.write(fh, encoding=self.encoding, xml_declaration=True) + + def indent(self, elem, level=0): + # in-place prettyprint formatter + i = "\n" + " " * level + if len(elem): + if not elem.text or not elem.text.strip(): + elem.text = i + " " + if not elem.tail or not elem.tail.strip(): + elem.tail = i + for elem in elem: + self.indent(elem, level + 1) + if not elem.tail or not elem.tail.strip(): + elem.tail = i + else: + if level and (not elem.tail or not elem.tail.strip()): + elem.tail = i + + +class GEXFReader(GEXF): + # Class to read GEXF format files + # use read_gexf() function + def __init__(self, node_type=None, version="1.2draft"): + self.construct_types() + self.node_type = node_type + # assume simple graph and test for multigraph on read + self.simple_graph = True + self.set_version(version) + + def __call__(self, stream): + self.xml = ElementTree(file=stream) + g = self.xml.find(f"{{{self.NS_GEXF}}}graph") + if g is not None: + return self.make_graph(g) + # try all the versions + for version in self.versions: + self.set_version(version) + g = self.xml.find(f"{{{self.NS_GEXF}}}graph") + if g is not None: + return self.make_graph(g) + raise nx.NetworkXError("No element in GEXF file.") + + def make_graph(self, graph_xml): + # start with empty DiGraph or MultiDiGraph + edgedefault = graph_xml.get("defaultedgetype", None) + if edgedefault == "directed": + G = nx.MultiDiGraph() + else: + G = nx.MultiGraph() + + # graph attributes + graph_name = graph_xml.get("name", "") + if graph_name != "": + G.graph["name"] = graph_name + graph_start = graph_xml.get("start") + if graph_start is not None: + G.graph["start"] = graph_start + graph_end = graph_xml.get("end") + if graph_end is not None: + G.graph["end"] = graph_end + graph_mode = graph_xml.get("mode", "") + if graph_mode == "dynamic": + G.graph["mode"] = "dynamic" + else: + G.graph["mode"] = "static" + + # timeformat + self.timeformat = graph_xml.get("timeformat") + if self.timeformat == "date": + self.timeformat = "string" + + # node and edge attributes + attributes_elements = graph_xml.findall(f"{{{self.NS_GEXF}}}attributes") + # dictionaries to hold attributes and attribute defaults + node_attr = {} + node_default = {} + edge_attr = {} + edge_default = {} + for a in attributes_elements: + attr_class = a.get("class") + if attr_class == "node": + na, nd = self.find_gexf_attributes(a) + node_attr.update(na) + node_default.update(nd) + G.graph["node_default"] = node_default + elif attr_class == "edge": + ea, ed = self.find_gexf_attributes(a) + edge_attr.update(ea) + edge_default.update(ed) + G.graph["edge_default"] = edge_default + else: + raise # unknown attribute class + + # Hack to handle Gephi0.7beta bug + # add weight attribute + ea = {"weight": {"type": "double", "mode": "static", "title": "weight"}} + ed = {} + edge_attr.update(ea) + edge_default.update(ed) + G.graph["edge_default"] = edge_default + + # add nodes + nodes_element = graph_xml.find(f"{{{self.NS_GEXF}}}nodes") + if nodes_element is not None: + for node_xml in nodes_element.findall(f"{{{self.NS_GEXF}}}node"): + self.add_node(G, node_xml, node_attr) + + # add edges + edges_element = graph_xml.find(f"{{{self.NS_GEXF}}}edges") + if edges_element is not None: + for edge_xml in edges_element.findall(f"{{{self.NS_GEXF}}}edge"): + self.add_edge(G, edge_xml, edge_attr) + + # switch to Graph or DiGraph if no parallel edges were found. + if self.simple_graph: + if G.is_directed(): + G = nx.DiGraph(G) + else: + G = nx.Graph(G) + return G + + def add_node(self, G, node_xml, node_attr, node_pid=None): + # add a single node with attributes to the graph + + # get attributes and subattributues for node + data = self.decode_attr_elements(node_attr, node_xml) + data = self.add_parents(data, node_xml) # add any parents + if self.VERSION == "1.1": + data = self.add_slices(data, node_xml) # add slices + else: + data = self.add_spells(data, node_xml) # add spells + data = self.add_viz(data, node_xml) # add viz + data = self.add_start_end(data, node_xml) # add start/end + + # find the node id and cast it to the appropriate type + node_id = node_xml.get("id") + if self.node_type is not None: + node_id = self.node_type(node_id) + + # every node should have a label + node_label = node_xml.get("label") + data["label"] = node_label + + # parent node id + node_pid = node_xml.get("pid", node_pid) + if node_pid is not None: + data["pid"] = node_pid + + # check for subnodes, recursive + subnodes = node_xml.find(f"{{{self.NS_GEXF}}}nodes") + if subnodes is not None: + for node_xml in subnodes.findall(f"{{{self.NS_GEXF}}}node"): + self.add_node(G, node_xml, node_attr, node_pid=node_id) + + G.add_node(node_id, **data) + + def add_start_end(self, data, xml): + # start and end times + ttype = self.timeformat + node_start = xml.get("start") + if node_start is not None: + data["start"] = self.python_type[ttype](node_start) + node_end = xml.get("end") + if node_end is not None: + data["end"] = self.python_type[ttype](node_end) + return data + + def add_viz(self, data, node_xml): + # add viz element for node + viz = {} + color = node_xml.find(f"{{{self.NS_VIZ}}}color") + if color is not None: + if self.VERSION == "1.1": + viz["color"] = { + "r": int(color.get("r")), + "g": int(color.get("g")), + "b": int(color.get("b")), + } + else: + viz["color"] = { + "r": int(color.get("r")), + "g": int(color.get("g")), + "b": int(color.get("b")), + "a": float(color.get("a", 1)), + } + + size = node_xml.find(f"{{{self.NS_VIZ}}}size") + if size is not None: + viz["size"] = float(size.get("value")) + + thickness = node_xml.find(f"{{{self.NS_VIZ}}}thickness") + if thickness is not None: + viz["thickness"] = float(thickness.get("value")) + + shape = node_xml.find(f"{{{self.NS_VIZ}}}shape") + if shape is not None: + viz["shape"] = shape.get("shape") + if viz["shape"] == "image": + viz["shape"] = shape.get("uri") + + position = node_xml.find(f"{{{self.NS_VIZ}}}position") + if position is not None: + viz["position"] = { + "x": float(position.get("x", 0)), + "y": float(position.get("y", 0)), + "z": float(position.get("z", 0)), + } + + if len(viz) > 0: + data["viz"] = viz + return data + + def add_parents(self, data, node_xml): + parents_element = node_xml.find(f"{{{self.NS_GEXF}}}parents") + if parents_element is not None: + data["parents"] = [] + for p in parents_element.findall(f"{{{self.NS_GEXF}}}parent"): + parent = p.get("for") + data["parents"].append(parent) + return data + + def add_slices(self, data, node_or_edge_xml): + slices_element = node_or_edge_xml.find(f"{{{self.NS_GEXF}}}slices") + if slices_element is not None: + data["slices"] = [] + for s in slices_element.findall(f"{{{self.NS_GEXF}}}slice"): + start = s.get("start") + end = s.get("end") + data["slices"].append((start, end)) + return data + + def add_spells(self, data, node_or_edge_xml): + spells_element = node_or_edge_xml.find(f"{{{self.NS_GEXF}}}spells") + if spells_element is not None: + data["spells"] = [] + ttype = self.timeformat + for s in spells_element.findall(f"{{{self.NS_GEXF}}}spell"): + start = self.python_type[ttype](s.get("start")) + end = self.python_type[ttype](s.get("end")) + data["spells"].append((start, end)) + return data + + def add_edge(self, G, edge_element, edge_attr): + # add an edge to the graph + + # raise error if we find mixed directed and undirected edges + edge_direction = edge_element.get("type") + if G.is_directed() and edge_direction == "undirected": + raise nx.NetworkXError("Undirected edge found in directed graph.") + if (not G.is_directed()) and edge_direction == "directed": + raise nx.NetworkXError("Directed edge found in undirected graph.") + + # Get source and target and recast type if required + source = edge_element.get("source") + target = edge_element.get("target") + if self.node_type is not None: + source = self.node_type(source) + target = self.node_type(target) + + data = self.decode_attr_elements(edge_attr, edge_element) + data = self.add_start_end(data, edge_element) + + if self.VERSION == "1.1": + data = self.add_slices(data, edge_element) # add slices + else: + data = self.add_spells(data, edge_element) # add spells + + # GEXF stores edge ids as an attribute + # NetworkX uses them as keys in multigraphs + # if networkx_key is not specified as an attribute + edge_id = edge_element.get("id") + if edge_id is not None: + data["id"] = edge_id + + # check if there is a 'multigraph_key' and use that as edge_id + multigraph_key = data.pop("networkx_key", None) + if multigraph_key is not None: + edge_id = multigraph_key + + weight = edge_element.get("weight") + if weight is not None: + data["weight"] = float(weight) + + edge_label = edge_element.get("label") + if edge_label is not None: + data["label"] = edge_label + + if G.has_edge(source, target): + # seen this edge before - this is a multigraph + self.simple_graph = False + G.add_edge(source, target, key=edge_id, **data) + if edge_direction == "mutual": + G.add_edge(target, source, key=edge_id, **data) + + def decode_attr_elements(self, gexf_keys, obj_xml): + # Use the key information to decode the attr XML + attr = {} + # look for outer '' element + attr_element = obj_xml.find(f"{{{self.NS_GEXF}}}attvalues") + if attr_element is not None: + # loop over elements + for a in attr_element.findall(f"{{{self.NS_GEXF}}}attvalue"): + key = a.get("for") # for is required + try: # should be in our gexf_keys dictionary + title = gexf_keys[key]["title"] + except KeyError as err: + raise nx.NetworkXError(f"No attribute defined for={key}.") from err + atype = gexf_keys[key]["type"] + value = a.get("value") + if atype == "boolean": + value = self.convert_bool[value] + else: + value = self.python_type[atype](value) + if gexf_keys[key]["mode"] == "dynamic": + # for dynamic graphs use list of three-tuples + # [(value1,start1,end1), (value2,start2,end2), etc] + ttype = self.timeformat + start = self.python_type[ttype](a.get("start")) + end = self.python_type[ttype](a.get("end")) + if title in attr: + attr[title].append((value, start, end)) + else: + attr[title] = [(value, start, end)] + else: + # for static graphs just assign the value + attr[title] = value + return attr + + def find_gexf_attributes(self, attributes_element): + # Extract all the attributes and defaults + attrs = {} + defaults = {} + mode = attributes_element.get("mode") + for k in attributes_element.findall(f"{{{self.NS_GEXF}}}attribute"): + attr_id = k.get("id") + title = k.get("title") + atype = k.get("type") + attrs[attr_id] = {"title": title, "type": atype, "mode": mode} + # check for the 'default' subelement of key element and add + default = k.find(f"{{{self.NS_GEXF}}}default") + if default is not None: + if atype == "boolean": + value = self.convert_bool[default.text] + else: + value = self.python_type[atype](default.text) + defaults[title] = value + return attrs, defaults + + +def relabel_gexf_graph(G): + """Relabel graph using "label" node keyword for node label. + + Parameters + ---------- + G : graph + A NetworkX graph read from GEXF data + + Returns + ------- + H : graph + A NetworkX graph with relabeled nodes + + Raises + ------ + NetworkXError + If node labels are missing or not unique while relabel=True. + + Notes + ----- + This function relabels the nodes in a NetworkX graph with the + "label" attribute. It also handles relabeling the specific GEXF + node attributes "parents", and "pid". + """ + # build mapping of node labels, do some error checking + try: + mapping = [(u, G.nodes[u]["label"]) for u in G] + except KeyError as err: + raise nx.NetworkXError( + "Failed to relabel nodes: missing node labels found. Use relabel=False." + ) from err + x, y = zip(*mapping) + if len(set(y)) != len(G): + raise nx.NetworkXError( + "Failed to relabel nodes: " + "duplicate node labels found. " + "Use relabel=False." + ) + mapping = dict(mapping) + H = nx.relabel_nodes(G, mapping) + # relabel attributes + for n in G: + m = mapping[n] + H.nodes[m]["id"] = n + H.nodes[m].pop("label") + if "pid" in H.nodes[m]: + H.nodes[m]["pid"] = mapping[G.nodes[n]["pid"]] + if "parents" in H.nodes[m]: + H.nodes[m]["parents"] = [mapping[p] for p in G.nodes[n]["parents"]] + return H diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/gml.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/gml.py new file mode 100644 index 0000000000000000000000000000000000000000..891d709685e8b119abb1db0d5489fc14e657a579 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/gml.py @@ -0,0 +1,879 @@ +""" +Read graphs in GML format. + +"GML, the Graph Modelling Language, is our proposal for a portable +file format for graphs. GML's key features are portability, simple +syntax, extensibility and flexibility. A GML file consists of a +hierarchical key-value lists. Graphs can be annotated with arbitrary +data structures. The idea for a common file format was born at the +GD'95; this proposal is the outcome of many discussions. GML is the +standard file format in the Graphlet graph editor system. It has been +overtaken and adapted by several other systems for drawing graphs." + +GML files are stored using a 7-bit ASCII encoding with any extended +ASCII characters (iso8859-1) appearing as HTML character entities. +You will need to give some thought into how the exported data should +interact with different languages and even different Python versions. +Re-importing from gml is also a concern. + +Without specifying a `stringizer`/`destringizer`, the code is capable of +writing `int`/`float`/`str`/`dict`/`list` data as required by the GML +specification. For writing other data types, and for reading data other +than `str` you need to explicitly supply a `stringizer`/`destringizer`. + +For additional documentation on the GML file format, please see the +`GML website `_. + +Several example graphs in GML format may be found on Mark Newman's +`Network data page `_. +""" + +import html.entities as htmlentitydefs +import re +import warnings +from ast import literal_eval +from collections import defaultdict +from enum import Enum +from io import StringIO +from typing import Any, NamedTuple + +import networkx as nx +from networkx.exception import NetworkXError +from networkx.utils import open_file + +__all__ = ["read_gml", "parse_gml", "generate_gml", "write_gml"] + + +def escape(text): + """Use XML character references to escape characters. + + Use XML character references for unprintable or non-ASCII + characters, double quotes and ampersands in a string + """ + + def fixup(m): + ch = m.group(0) + return "&#" + str(ord(ch)) + ";" + + text = re.sub('[^ -~]|[&"]', fixup, text) + return text if isinstance(text, str) else str(text) + + +def unescape(text): + """Replace XML character references with the referenced characters""" + + def fixup(m): + text = m.group(0) + if text[1] == "#": + # Character reference + if text[2] == "x": + code = int(text[3:-1], 16) + else: + code = int(text[2:-1]) + else: + # Named entity + try: + code = htmlentitydefs.name2codepoint[text[1:-1]] + except KeyError: + return text # leave unchanged + try: + return chr(code) + except (ValueError, OverflowError): + return text # leave unchanged + + return re.sub("&(?:[0-9A-Za-z]+|#(?:[0-9]+|x[0-9A-Fa-f]+));", fixup, text) + + +def literal_destringizer(rep): + """Convert a Python literal to the value it represents. + + Parameters + ---------- + rep : string + A Python literal. + + Returns + ------- + value : object + The value of the Python literal. + + Raises + ------ + ValueError + If `rep` is not a Python literal. + """ + if isinstance(rep, str): + orig_rep = rep + try: + return literal_eval(rep) + except SyntaxError as err: + raise ValueError(f"{orig_rep!r} is not a valid Python literal") from err + else: + raise ValueError(f"{rep!r} is not a string") + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_gml(path, label="label", destringizer=None): + """Read graph in GML format from `path`. + + Parameters + ---------- + path : filename or filehandle + The filename or filehandle to read from. + + label : string, optional + If not None, the parsed nodes will be renamed according to node + attributes indicated by `label`. Default value: 'label'. + + destringizer : callable, optional + A `destringizer` that recovers values stored as strings in GML. If it + cannot convert a string to a value, a `ValueError` is raised. Default + value : None. + + Returns + ------- + G : NetworkX graph + The parsed graph. + + Raises + ------ + NetworkXError + If the input cannot be parsed. + + See Also + -------- + write_gml, parse_gml + literal_destringizer + + Notes + ----- + GML files are stored using a 7-bit ASCII encoding with any extended + ASCII characters (iso8859-1) appearing as HTML character entities. + Without specifying a `stringizer`/`destringizer`, the code is capable of + writing `int`/`float`/`str`/`dict`/`list` data as required by the GML + specification. For writing other data types, and for reading data other + than `str` you need to explicitly supply a `stringizer`/`destringizer`. + + For additional documentation on the GML file format, please see the + `GML url `_. + + See the module docstring :mod:`networkx.readwrite.gml` for more details. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_gml(G, "test.gml") + + GML values are interpreted as strings by default: + + >>> H = nx.read_gml("test.gml") + >>> H.nodes + NodeView(('0', '1', '2', '3')) + + When a `destringizer` is provided, GML values are converted to the provided type. + For example, integer nodes can be recovered as shown below: + + >>> J = nx.read_gml("test.gml", destringizer=int) + >>> J.nodes + NodeView((0, 1, 2, 3)) + + """ + + def filter_lines(lines): + for line in lines: + try: + line = line.decode("ascii") + except UnicodeDecodeError as err: + raise NetworkXError("input is not ASCII-encoded") from err + if not isinstance(line, str): + lines = str(lines) + if line and line[-1] == "\n": + line = line[:-1] + yield line + + G = parse_gml_lines(filter_lines(path), label, destringizer) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_gml(lines, label="label", destringizer=None): + """Parse GML graph from a string or iterable. + + Parameters + ---------- + lines : string or iterable of strings + Data in GML format. + + label : string, optional + If not None, the parsed nodes will be renamed according to node + attributes indicated by `label`. Default value: 'label'. + + destringizer : callable, optional + A `destringizer` that recovers values stored as strings in GML. If it + cannot convert a string to a value, a `ValueError` is raised. Default + value : None. + + Returns + ------- + G : NetworkX graph + The parsed graph. + + Raises + ------ + NetworkXError + If the input cannot be parsed. + + See Also + -------- + write_gml, read_gml + + Notes + ----- + This stores nested GML attributes as dictionaries in the NetworkX graph, + node, and edge attribute structures. + + GML files are stored using a 7-bit ASCII encoding with any extended + ASCII characters (iso8859-1) appearing as HTML character entities. + Without specifying a `stringizer`/`destringizer`, the code is capable of + writing `int`/`float`/`str`/`dict`/`list` data as required by the GML + specification. For writing other data types, and for reading data other + than `str` you need to explicitly supply a `stringizer`/`destringizer`. + + For additional documentation on the GML file format, please see the + `GML url `_. + + See the module docstring :mod:`networkx.readwrite.gml` for more details. + """ + + def decode_line(line): + if isinstance(line, bytes): + try: + line.decode("ascii") + except UnicodeDecodeError as err: + raise NetworkXError("input is not ASCII-encoded") from err + if not isinstance(line, str): + line = str(line) + return line + + def filter_lines(lines): + if isinstance(lines, str): + lines = decode_line(lines) + lines = lines.splitlines() + yield from lines + else: + for line in lines: + line = decode_line(line) + if line and line[-1] == "\n": + line = line[:-1] + if line.find("\n") != -1: + raise NetworkXError("input line contains newline") + yield line + + G = parse_gml_lines(filter_lines(lines), label, destringizer) + return G + + +class Pattern(Enum): + """encodes the index of each token-matching pattern in `tokenize`.""" + + KEYS = 0 + REALS = 1 + INTS = 2 + STRINGS = 3 + DICT_START = 4 + DICT_END = 5 + COMMENT_WHITESPACE = 6 + + +class Token(NamedTuple): + category: Pattern + value: Any + line: int + position: int + + +LIST_START_VALUE = "_networkx_list_start" + + +def parse_gml_lines(lines, label, destringizer): + """Parse GML `lines` into a graph.""" + + def tokenize(): + patterns = [ + r"[A-Za-z][0-9A-Za-z_]*\b", # keys + # reals + r"[+-]?(?:[0-9]*\.[0-9]+|[0-9]+\.[0-9]*|INF)(?:[Ee][+-]?[0-9]+)?", + r"[+-]?[0-9]+", # ints + r'".*?"', # strings + r"\[", # dict start + r"\]", # dict end + r"#.*$|\s+", # comments and whitespaces + ] + tokens = re.compile("|".join(f"({pattern})" for pattern in patterns)) + lineno = 0 + multilines = [] # entries spread across multiple lines + for line in lines: + pos = 0 + + # deal with entries spread across multiple lines + # + # should we actually have to deal with escaped "s then do it here + if multilines: + multilines.append(line.strip()) + if line[-1] == '"': # closing multiline entry + # multiline entries will be joined by space. cannot + # reintroduce newlines as this will break the tokenizer + line = " ".join(multilines) + multilines = [] + else: # continued multiline entry + lineno += 1 + continue + else: + if line.count('"') == 1: # opening multiline entry + if line.strip()[0] != '"' and line.strip()[-1] != '"': + # since we expect something like key "value", the " should not be found at ends + # otherwise tokenizer will pick up the formatting mistake. + multilines = [line.rstrip()] + lineno += 1 + continue + + length = len(line) + + while pos < length: + match = tokens.match(line, pos) + if match is None: + m = f"cannot tokenize {line[pos:]} at ({lineno + 1}, {pos + 1})" + raise NetworkXError(m) + for i in range(len(patterns)): + group = match.group(i + 1) + if group is not None: + if i == 0: # keys + value = group.rstrip() + elif i == 1: # reals + value = float(group) + elif i == 2: # ints + value = int(group) + else: + value = group + if i != 6: # comments and whitespaces + yield Token(Pattern(i), value, lineno + 1, pos + 1) + pos += len(group) + break + lineno += 1 + yield Token(None, None, lineno + 1, 1) # EOF + + def unexpected(curr_token, expected): + category, value, lineno, pos = curr_token + value = repr(value) if value is not None else "EOF" + raise NetworkXError(f"expected {expected}, found {value} at ({lineno}, {pos})") + + def consume(curr_token, category, expected): + if curr_token.category == category: + return next(tokens) + unexpected(curr_token, expected) + + def parse_kv(curr_token): + dct = defaultdict(list) + while curr_token.category == Pattern.KEYS: + key = curr_token.value + curr_token = next(tokens) + category = curr_token.category + if category == Pattern.REALS or category == Pattern.INTS: + value = curr_token.value + curr_token = next(tokens) + elif category == Pattern.STRINGS: + value = unescape(curr_token.value[1:-1]) + if destringizer: + try: + value = destringizer(value) + except ValueError: + pass + # Special handling for empty lists and tuples + if value == "()": + value = () + if value == "[]": + value = [] + curr_token = next(tokens) + elif category == Pattern.DICT_START: + curr_token, value = parse_dict(curr_token) + else: + # Allow for string convertible id and label values + if key in ("id", "label", "source", "target"): + try: + # String convert the token value + value = unescape(str(curr_token.value)) + if destringizer: + try: + value = destringizer(value) + except ValueError: + pass + curr_token = next(tokens) + except Exception: + msg = ( + "an int, float, string, '[' or string" + + " convertible ASCII value for node id or label" + ) + unexpected(curr_token, msg) + # Special handling for nan and infinity. Since the gml language + # defines unquoted strings as keys, the numeric and string branches + # are skipped and we end up in this special branch, so we need to + # convert the current token value to a float for NAN and plain INF. + # +/-INF are handled in the pattern for 'reals' in tokenize(). This + # allows labels and values to be nan or infinity, but not keys. + elif curr_token.value in {"NAN", "INF"}: + value = float(curr_token.value) + curr_token = next(tokens) + else: # Otherwise error out + unexpected(curr_token, "an int, float, string or '['") + dct[key].append(value) + + def clean_dict_value(value): + if not isinstance(value, list): + return value + if len(value) == 1: + return value[0] + if value[0] == LIST_START_VALUE: + return value[1:] + return value + + dct = {key: clean_dict_value(value) for key, value in dct.items()} + return curr_token, dct + + def parse_dict(curr_token): + # dict start + curr_token = consume(curr_token, Pattern.DICT_START, "'['") + # dict contents + curr_token, dct = parse_kv(curr_token) + # dict end + curr_token = consume(curr_token, Pattern.DICT_END, "']'") + return curr_token, dct + + def parse_graph(): + curr_token, dct = parse_kv(next(tokens)) + if curr_token.category is not None: # EOF + unexpected(curr_token, "EOF") + if "graph" not in dct: + raise NetworkXError("input contains no graph") + graph = dct["graph"] + if isinstance(graph, list): + raise NetworkXError("input contains more than one graph") + return graph + + tokens = tokenize() + graph = parse_graph() + + directed = graph.pop("directed", False) + multigraph = graph.pop("multigraph", False) + if not multigraph: + G = nx.DiGraph() if directed else nx.Graph() + else: + G = nx.MultiDiGraph() if directed else nx.MultiGraph() + graph_attr = {k: v for k, v in graph.items() if k not in ("node", "edge")} + G.graph.update(graph_attr) + + def pop_attr(dct, category, attr, i): + try: + return dct.pop(attr) + except KeyError as err: + raise NetworkXError(f"{category} #{i} has no {attr!r} attribute") from err + + nodes = graph.get("node", []) + mapping = {} + node_labels = set() + for i, node in enumerate(nodes if isinstance(nodes, list) else [nodes]): + id = pop_attr(node, "node", "id", i) + if id in G: + raise NetworkXError(f"node id {id!r} is duplicated") + if label is not None and label != "id": + node_label = pop_attr(node, "node", label, i) + if node_label in node_labels: + raise NetworkXError(f"node label {node_label!r} is duplicated") + node_labels.add(node_label) + mapping[id] = node_label + G.add_node(id, **node) + + edges = graph.get("edge", []) + for i, edge in enumerate(edges if isinstance(edges, list) else [edges]): + source = pop_attr(edge, "edge", "source", i) + target = pop_attr(edge, "edge", "target", i) + if source not in G: + raise NetworkXError(f"edge #{i} has undefined source {source!r}") + if target not in G: + raise NetworkXError(f"edge #{i} has undefined target {target!r}") + if not multigraph: + if not G.has_edge(source, target): + G.add_edge(source, target, **edge) + else: + arrow = "->" if directed else "--" + msg = f"edge #{i} ({source!r}{arrow}{target!r}) is duplicated" + raise nx.NetworkXError(msg) + else: + key = edge.pop("key", None) + if key is not None and G.has_edge(source, target, key): + arrow = "->" if directed else "--" + msg = f"edge #{i} ({source!r}{arrow}{target!r}, {key!r})" + msg2 = 'Hint: If multigraph add "multigraph 1" to file header.' + raise nx.NetworkXError(msg + " is duplicated\n" + msg2) + G.add_edge(source, target, key, **edge) + + if label is not None and label != "id": + G = nx.relabel_nodes(G, mapping) + return G + + +def literal_stringizer(value): + """Convert a `value` to a Python literal in GML representation. + + Parameters + ---------- + value : object + The `value` to be converted to GML representation. + + Returns + ------- + rep : string + A double-quoted Python literal representing value. Unprintable + characters are replaced by XML character references. + + Raises + ------ + ValueError + If `value` cannot be converted to GML. + + Notes + ----- + The original value can be recovered using the + :func:`networkx.readwrite.gml.literal_destringizer` function. + """ + + def stringize(value): + if isinstance(value, int | bool) or value is None: + if value is True: # GML uses 1/0 for boolean values. + buf.write(str(1)) + elif value is False: + buf.write(str(0)) + else: + buf.write(str(value)) + elif isinstance(value, str): + text = repr(value) + if text[0] != "u": + try: + value.encode("latin1") + except UnicodeEncodeError: + text = "u" + text + buf.write(text) + elif isinstance(value, float | complex | str | bytes): + buf.write(repr(value)) + elif isinstance(value, list): + buf.write("[") + first = True + for item in value: + if not first: + buf.write(",") + else: + first = False + stringize(item) + buf.write("]") + elif isinstance(value, tuple): + if len(value) > 1: + buf.write("(") + first = True + for item in value: + if not first: + buf.write(",") + else: + first = False + stringize(item) + buf.write(")") + elif value: + buf.write("(") + stringize(value[0]) + buf.write(",)") + else: + buf.write("()") + elif isinstance(value, dict): + buf.write("{") + first = True + for key, value in value.items(): + if not first: + buf.write(",") + else: + first = False + stringize(key) + buf.write(":") + stringize(value) + buf.write("}") + elif isinstance(value, set): + buf.write("{") + first = True + for item in value: + if not first: + buf.write(",") + else: + first = False + stringize(item) + buf.write("}") + else: + msg = f"{value!r} cannot be converted into a Python literal" + raise ValueError(msg) + + buf = StringIO() + stringize(value) + return buf.getvalue() + + +def generate_gml(G, stringizer=None): + r"""Generate a single entry of the graph `G` in GML format. + + Parameters + ---------- + G : NetworkX graph + The graph to be converted to GML. + + stringizer : callable, optional + A `stringizer` which converts non-int/non-float/non-dict values into + strings. If it cannot convert a value into a string, it should raise a + `ValueError` to indicate that. Default value: None. + + Returns + ------- + lines: generator of strings + Lines of GML data. Newlines are not appended. + + Raises + ------ + NetworkXError + If `stringizer` cannot convert a value into a string, or the value to + convert is not a string while `stringizer` is None. + + See Also + -------- + literal_stringizer + + Notes + ----- + Graph attributes named 'directed', 'multigraph', 'node' or + 'edge', node attributes named 'id' or 'label', edge attributes + named 'source' or 'target' (or 'key' if `G` is a multigraph) + are ignored because these attribute names are used to encode the graph + structure. + + GML files are stored using a 7-bit ASCII encoding with any extended + ASCII characters (iso8859-1) appearing as HTML character entities. + Without specifying a `stringizer`/`destringizer`, the code is capable of + writing `int`/`float`/`str`/`dict`/`list` data as required by the GML + specification. For writing other data types, and for reading data other + than `str` you need to explicitly supply a `stringizer`/`destringizer`. + + For additional documentation on the GML file format, please see the + `GML url `_. + + See the module docstring :mod:`networkx.readwrite.gml` for more details. + + Examples + -------- + >>> G = nx.Graph() + >>> G.add_node("1") + >>> print("\n".join(nx.generate_gml(G))) + graph [ + node [ + id 0 + label "1" + ] + ] + >>> G = nx.MultiGraph([("a", "b"), ("a", "b")]) + >>> print("\n".join(nx.generate_gml(G))) + graph [ + multigraph 1 + node [ + id 0 + label "a" + ] + node [ + id 1 + label "b" + ] + edge [ + source 0 + target 1 + key 0 + ] + edge [ + source 0 + target 1 + key 1 + ] + ] + """ + valid_keys = re.compile("^[A-Za-z][0-9A-Za-z_]*$") + + def stringize(key, value, ignored_keys, indent, in_list=False): + if not isinstance(key, str): + raise NetworkXError(f"{key!r} is not a string") + if not valid_keys.match(key): + raise NetworkXError(f"{key!r} is not a valid key") + if not isinstance(key, str): + key = str(key) + if key not in ignored_keys: + if isinstance(value, int | bool): + if key == "label": + yield indent + key + ' "' + str(value) + '"' + elif value is True: + # python bool is an instance of int + yield indent + key + " 1" + elif value is False: + yield indent + key + " 0" + # GML only supports signed 32-bit integers + elif value < -(2**31) or value >= 2**31: + yield indent + key + ' "' + str(value) + '"' + else: + yield indent + key + " " + str(value) + elif isinstance(value, float): + text = repr(value).upper() + # GML matches INF to keys, so prepend + to INF. Use repr(float(*)) + # instead of string literal to future proof against changes to repr. + if text == repr(float("inf")).upper(): + text = "+" + text + else: + # GML requires that a real literal contain a decimal point, but + # repr may not output a decimal point when the mantissa is + # integral and hence needs fixing. + epos = text.rfind("E") + if epos != -1 and text.find(".", 0, epos) == -1: + text = text[:epos] + "." + text[epos:] + if key == "label": + yield indent + key + ' "' + text + '"' + else: + yield indent + key + " " + text + elif isinstance(value, dict): + yield indent + key + " [" + next_indent = indent + " " + for key, value in value.items(): + yield from stringize(key, value, (), next_indent) + yield indent + "]" + elif isinstance(value, tuple) and key == "label": + yield indent + key + f" \"({','.join(repr(v) for v in value)})\"" + elif isinstance(value, list | tuple) and key != "label" and not in_list: + if len(value) == 0: + yield indent + key + " " + f'"{value!r}"' + if len(value) == 1: + yield indent + key + " " + f'"{LIST_START_VALUE}"' + for val in value: + yield from stringize(key, val, (), indent, True) + else: + if stringizer: + try: + value = stringizer(value) + except ValueError as err: + raise NetworkXError( + f"{value!r} cannot be converted into a string" + ) from err + if not isinstance(value, str): + raise NetworkXError(f"{value!r} is not a string") + yield indent + key + ' "' + escape(value) + '"' + + multigraph = G.is_multigraph() + yield "graph [" + + # Output graph attributes + if G.is_directed(): + yield " directed 1" + if multigraph: + yield " multigraph 1" + ignored_keys = {"directed", "multigraph", "node", "edge"} + for attr, value in G.graph.items(): + yield from stringize(attr, value, ignored_keys, " ") + + # Output node data + node_id = dict(zip(G, range(len(G)))) + ignored_keys = {"id", "label"} + for node, attrs in G.nodes.items(): + yield " node [" + yield " id " + str(node_id[node]) + yield from stringize("label", node, (), " ") + for attr, value in attrs.items(): + yield from stringize(attr, value, ignored_keys, " ") + yield " ]" + + # Output edge data + ignored_keys = {"source", "target"} + kwargs = {"data": True} + if multigraph: + ignored_keys.add("key") + kwargs["keys"] = True + for e in G.edges(**kwargs): + yield " edge [" + yield " source " + str(node_id[e[0]]) + yield " target " + str(node_id[e[1]]) + if multigraph: + yield from stringize("key", e[2], (), " ") + for attr, value in e[-1].items(): + yield from stringize(attr, value, ignored_keys, " ") + yield " ]" + yield "]" + + +@open_file(1, mode="wb") +def write_gml(G, path, stringizer=None): + """Write a graph `G` in GML format to the file or file handle `path`. + + Parameters + ---------- + G : NetworkX graph + The graph to be converted to GML. + + path : filename or filehandle + The filename or filehandle to write. Files whose names end with .gz or + .bz2 will be compressed. + + stringizer : callable, optional + A `stringizer` which converts non-int/non-float/non-dict values into + strings. If it cannot convert a value into a string, it should raise a + `ValueError` to indicate that. Default value: None. + + Raises + ------ + NetworkXError + If `stringizer` cannot convert a value into a string, or the value to + convert is not a string while `stringizer` is None. + + See Also + -------- + read_gml, generate_gml + literal_stringizer + + Notes + ----- + Graph attributes named 'directed', 'multigraph', 'node' or + 'edge', node attributes named 'id' or 'label', edge attributes + named 'source' or 'target' (or 'key' if `G` is a multigraph) + are ignored because these attribute names are used to encode the graph + structure. + + GML files are stored using a 7-bit ASCII encoding with any extended + ASCII characters (iso8859-1) appearing as HTML character entities. + Without specifying a `stringizer`/`destringizer`, the code is capable of + writing `int`/`float`/`str`/`dict`/`list` data as required by the GML + specification. For writing other data types, and for reading data other + than `str` you need to explicitly supply a `stringizer`/`destringizer`. + + Note that while we allow non-standard GML to be read from a file, we make + sure to write GML format. In particular, underscores are not allowed in + attribute names. + For additional documentation on the GML file format, please see the + `GML url `_. + + See the module docstring :mod:`networkx.readwrite.gml` for more details. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_gml(G, "test.gml") + + Filenames ending in .gz or .bz2 will be compressed. + + >>> nx.write_gml(G, "test.gml.gz") + """ + for line in generate_gml(G, stringizer): + path.write((line + "\n").encode("ascii")) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/graph6.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/graph6.py new file mode 100644 index 0000000000000000000000000000000000000000..4ff2f93c43c1cacb3bd1a9d85b500a410269c5a2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/graph6.py @@ -0,0 +1,417 @@ +# Original author: D. Eppstein, UC Irvine, August 12, 2003. +# The original code at http://www.ics.uci.edu/~eppstein/PADS/ is public domain. +"""Functions for reading and writing graphs in the *graph6* format. + +The *graph6* file format is suitable for small graphs or large dense +graphs. For large sparse graphs, use the *sparse6* format. + +For more information, see the `graph6`_ homepage. + +.. _graph6: http://users.cecs.anu.edu.au/~bdm/data/formats.html + +""" + +from itertools import islice + +import networkx as nx +from networkx.exception import NetworkXError +from networkx.utils import not_implemented_for, open_file + +__all__ = ["from_graph6_bytes", "read_graph6", "to_graph6_bytes", "write_graph6"] + + +def _generate_graph6_bytes(G, nodes, header): + """Yield bytes in the graph6 encoding of a graph. + + `G` is an undirected simple graph. `nodes` is the list of nodes for + which the node-induced subgraph will be encoded; if `nodes` is the + list of all nodes in the graph, the entire graph will be + encoded. `header` is a Boolean that specifies whether to generate + the header ``b'>>graph6<<'`` before the remaining data. + + This function generates `bytes` objects in the following order: + + 1. the header (if requested), + 2. the encoding of the number of nodes, + 3. each character, one-at-a-time, in the encoding of the requested + node-induced subgraph, + 4. a newline character. + + This function raises :exc:`ValueError` if the graph is too large for + the graph6 format (that is, greater than ``2 ** 36`` nodes). + + """ + n = len(G) + if n >= 2**36: + raise ValueError( + "graph6 is only defined if number of nodes is less than 2 ** 36" + ) + if header: + yield b">>graph6<<" + for d in n_to_data(n): + yield str.encode(chr(d + 63)) + # This generates the same as `(v in G[u] for u, v in combinations(G, 2))`, + # but in "column-major" order instead of "row-major" order. + bits = (nodes[j] in G[nodes[i]] for j in range(1, n) for i in range(j)) + chunk = list(islice(bits, 6)) + while chunk: + d = sum(b << 5 - i for i, b in enumerate(chunk)) + yield str.encode(chr(d + 63)) + chunk = list(islice(bits, 6)) + yield b"\n" + + +@nx._dispatchable(graphs=None, returns_graph=True) +def from_graph6_bytes(bytes_in): + """Read a simple undirected graph in graph6 format from bytes. + + Parameters + ---------- + bytes_in : bytes + Data in graph6 format, without a trailing newline. + + Returns + ------- + G : Graph + + Raises + ------ + NetworkXError + If bytes_in is unable to be parsed in graph6 format + + ValueError + If any character ``c`` in bytes_in does not satisfy + ``63 <= ord(c) < 127``. + + Examples + -------- + >>> G = nx.from_graph6_bytes(b"A_") + >>> sorted(G.edges()) + [(0, 1)] + + See Also + -------- + read_graph6, write_graph6 + + References + ---------- + .. [1] Graph6 specification + + + """ + + def bits(): + """Returns sequence of individual bits from 6-bit-per-value + list of data values.""" + for d in data: + for i in [5, 4, 3, 2, 1, 0]: + yield (d >> i) & 1 + + if bytes_in.startswith(b">>graph6<<"): + bytes_in = bytes_in[10:] + + data = [c - 63 for c in bytes_in] + if any(c > 63 for c in data): + raise ValueError("each input character must be in range(63, 127)") + + n, data = data_to_n(data) + nd = (n * (n - 1) // 2 + 5) // 6 + if len(data) != nd: + raise NetworkXError( + f"Expected {n * (n - 1) // 2} bits but got {len(data) * 6} in graph6" + ) + + G = nx.Graph() + G.add_nodes_from(range(n)) + for (i, j), b in zip(((i, j) for j in range(1, n) for i in range(j)), bits()): + if b: + G.add_edge(i, j) + + return G + + +@not_implemented_for("directed") +@not_implemented_for("multigraph") +def to_graph6_bytes(G, nodes=None, header=True): + """Convert a simple undirected graph to bytes in graph6 format. + + Parameters + ---------- + G : Graph (undirected) + + nodes: list or iterable + Nodes are labeled 0...n-1 in the order provided. If None the ordering + given by ``G.nodes()`` is used. + + header: bool + If True add '>>graph6<<' bytes to head of data. + + Raises + ------ + NetworkXNotImplemented + If the graph is directed or is a multigraph. + + ValueError + If the graph has at least ``2 ** 36`` nodes; the graph6 format + is only defined for graphs of order less than ``2 ** 36``. + + Examples + -------- + >>> nx.to_graph6_bytes(nx.path_graph(2)) + b'>>graph6< + + """ + if nodes is not None: + G = G.subgraph(nodes) + H = nx.convert_node_labels_to_integers(G) + nodes = sorted(H.nodes()) + return b"".join(_generate_graph6_bytes(H, nodes, header)) + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_graph6(path): + """Read simple undirected graphs in graph6 format from path. + + Parameters + ---------- + path : file or string + File or filename to write. + + Returns + ------- + G : Graph or list of Graphs + If the file contains multiple lines then a list of graphs is returned + + Raises + ------ + NetworkXError + If the string is unable to be parsed in graph6 format + + Examples + -------- + You can read a graph6 file by giving the path to the file:: + + >>> import tempfile + >>> with tempfile.NamedTemporaryFile(delete=False) as f: + ... _ = f.write(b">>graph6<>> list(G.edges()) + [(0, 1)] + + You can also read a graph6 file by giving an open file-like object:: + + >>> import tempfile + >>> with tempfile.NamedTemporaryFile() as f: + ... _ = f.write(b">>graph6<>> list(G.edges()) + [(0, 1)] + + See Also + -------- + from_graph6_bytes, write_graph6 + + References + ---------- + .. [1] Graph6 specification + + + """ + glist = [] + for line in path: + line = line.strip() + if not len(line): + continue + glist.append(from_graph6_bytes(line)) + if len(glist) == 1: + return glist[0] + else: + return glist + + +@not_implemented_for("directed") +@not_implemented_for("multigraph") +@open_file(1, mode="wb") +def write_graph6(G, path, nodes=None, header=True): + """Write a simple undirected graph to a path in graph6 format. + + Parameters + ---------- + G : Graph (undirected) + + path : str + The path naming the file to which to write the graph. + + nodes: list or iterable + Nodes are labeled 0...n-1 in the order provided. If None the ordering + given by ``G.nodes()`` is used. + + header: bool + If True add '>>graph6<<' string to head of data + + Raises + ------ + NetworkXNotImplemented + If the graph is directed or is a multigraph. + + ValueError + If the graph has at least ``2 ** 36`` nodes; the graph6 format + is only defined for graphs of order less than ``2 ** 36``. + + Examples + -------- + You can write a graph6 file by giving the path to a file:: + + >>> import tempfile + >>> with tempfile.NamedTemporaryFile(delete=False) as f: + ... nx.write_graph6(nx.path_graph(2), f.name) + ... _ = f.seek(0) + ... print(f.read()) + b'>>graph6< + + """ + return write_graph6_file(G, path, nodes=nodes, header=header) + + +@not_implemented_for("directed") +@not_implemented_for("multigraph") +def write_graph6_file(G, f, nodes=None, header=True): + """Write a simple undirected graph to a file-like object in graph6 format. + + Parameters + ---------- + G : Graph (undirected) + + f : file-like object + The file to write. + + nodes: list or iterable + Nodes are labeled 0...n-1 in the order provided. If None the ordering + given by ``G.nodes()`` is used. + + header: bool + If True add '>>graph6<<' string to head of data + + Raises + ------ + NetworkXNotImplemented + If the graph is directed or is a multigraph. + + ValueError + If the graph has at least ``2 ** 36`` nodes; the graph6 format + is only defined for graphs of order less than ``2 ** 36``. + + Examples + -------- + You can write a graph6 file by giving an open file-like object:: + + >>> import tempfile + >>> with tempfile.NamedTemporaryFile() as f: + ... nx.write_graph6(nx.path_graph(2), f) + ... _ = f.seek(0) + ... print(f.read()) + b'>>graph6< + + """ + if nodes is not None: + G = G.subgraph(nodes) + H = nx.convert_node_labels_to_integers(G) + nodes = sorted(H.nodes()) + for b in _generate_graph6_bytes(H, nodes, header): + f.write(b) + + +def data_to_n(data): + """Read initial one-, four- or eight-unit value from graph6 + integer sequence. + + Return (value, rest of seq.)""" + if data[0] <= 62: + return data[0], data[1:] + if data[1] <= 62: + return (data[1] << 12) + (data[2] << 6) + data[3], data[4:] + return ( + (data[2] << 30) + + (data[3] << 24) + + (data[4] << 18) + + (data[5] << 12) + + (data[6] << 6) + + data[7], + data[8:], + ) + + +def n_to_data(n): + """Convert an integer to one-, four- or eight-unit graph6 sequence. + + This function is undefined if `n` is not in ``range(2 ** 36)``. + + """ + if n <= 62: + return [n] + elif n <= 258047: + return [63, (n >> 12) & 0x3F, (n >> 6) & 0x3F, n & 0x3F] + else: # if n <= 68719476735: + return [ + 63, + 63, + (n >> 30) & 0x3F, + (n >> 24) & 0x3F, + (n >> 18) & 0x3F, + (n >> 12) & 0x3F, + (n >> 6) & 0x3F, + n & 0x3F, + ] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/graphml.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/graphml.py new file mode 100644 index 0000000000000000000000000000000000000000..7d0a1da0dcf488cda2c0e018dfb48f2ff947ac80 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/graphml.py @@ -0,0 +1,1053 @@ +""" +******* +GraphML +******* +Read and write graphs in GraphML format. + +.. warning:: + + This parser uses the standard xml library present in Python, which is + insecure - see :external+python:mod:`xml` for additional information. + Only parse GraphML files you trust. + +This implementation does not support mixed graphs (directed and unidirected +edges together), hyperedges, nested graphs, or ports. + +"GraphML is a comprehensive and easy-to-use file format for graphs. It +consists of a language core to describe the structural properties of a +graph and a flexible extension mechanism to add application-specific +data. Its main features include support of + + * directed, undirected, and mixed graphs, + * hypergraphs, + * hierarchical graphs, + * graphical representations, + * references to external data, + * application-specific attribute data, and + * light-weight parsers. + +Unlike many other file formats for graphs, GraphML does not use a +custom syntax. Instead, it is based on XML and hence ideally suited as +a common denominator for all kinds of services generating, archiving, +or processing graphs." + +http://graphml.graphdrawing.org/ + +Format +------ +GraphML is an XML format. See +http://graphml.graphdrawing.org/specification.html for the specification and +http://graphml.graphdrawing.org/primer/graphml-primer.html +for examples. +""" + +import warnings +from collections import defaultdict + +import networkx as nx +from networkx.utils import open_file + +__all__ = [ + "write_graphml", + "read_graphml", + "generate_graphml", + "write_graphml_xml", + "write_graphml_lxml", + "parse_graphml", + "GraphMLWriter", + "GraphMLReader", +] + + +@open_file(1, mode="wb") +def write_graphml_xml( + G, + path, + encoding="utf-8", + prettyprint=True, + infer_numeric_types=False, + named_key_ids=False, + edge_id_from_attribute=None, +): + """Write G in GraphML XML format to path + + Parameters + ---------- + G : graph + A networkx graph + path : file or string + File or filename to write. + Filenames ending in .gz or .bz2 will be compressed. + encoding : string (optional) + Encoding for text data. + prettyprint : bool (optional) + If True use line breaks and indenting in output XML. + infer_numeric_types : boolean + Determine if numeric types should be generalized. + For example, if edges have both int and float 'weight' attributes, + we infer in GraphML that both are floats. + named_key_ids : bool (optional) + If True use attr.name as value for key elements' id attribute. + edge_id_from_attribute : dict key (optional) + If provided, the graphml edge id is set by looking up the corresponding + edge data attribute keyed by this parameter. If `None` or the key does not exist in edge data, + the edge id is set by the edge key if `G` is a MultiGraph, else the edge id is left unset. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_graphml(G, "test.graphml") + + Notes + ----- + This implementation does not support mixed graphs (directed + and unidirected edges together) hyperedges, nested graphs, or ports. + """ + writer = GraphMLWriter( + encoding=encoding, + prettyprint=prettyprint, + infer_numeric_types=infer_numeric_types, + named_key_ids=named_key_ids, + edge_id_from_attribute=edge_id_from_attribute, + ) + writer.add_graph_element(G) + writer.dump(path) + + +@open_file(1, mode="wb") +def write_graphml_lxml( + G, + path, + encoding="utf-8", + prettyprint=True, + infer_numeric_types=False, + named_key_ids=False, + edge_id_from_attribute=None, +): + """Write G in GraphML XML format to path + + This function uses the LXML framework and should be faster than + the version using the xml library. + + Parameters + ---------- + G : graph + A networkx graph + path : file or string + File or filename to write. + Filenames ending in .gz or .bz2 will be compressed. + encoding : string (optional) + Encoding for text data. + prettyprint : bool (optional) + If True use line breaks and indenting in output XML. + infer_numeric_types : boolean + Determine if numeric types should be generalized. + For example, if edges have both int and float 'weight' attributes, + we infer in GraphML that both are floats. + named_key_ids : bool (optional) + If True use attr.name as value for key elements' id attribute. + edge_id_from_attribute : dict key (optional) + If provided, the graphml edge id is set by looking up the corresponding + edge data attribute keyed by this parameter. If `None` or the key does not exist in edge data, + the edge id is set by the edge key if `G` is a MultiGraph, else the edge id is left unset. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_graphml_lxml(G, "fourpath.graphml") + + Notes + ----- + This implementation does not support mixed graphs (directed + and unidirected edges together) hyperedges, nested graphs, or ports. + """ + try: + import lxml.etree as lxmletree + except ImportError: + return write_graphml_xml( + G, + path, + encoding, + prettyprint, + infer_numeric_types, + named_key_ids, + edge_id_from_attribute, + ) + + writer = GraphMLWriterLxml( + path, + graph=G, + encoding=encoding, + prettyprint=prettyprint, + infer_numeric_types=infer_numeric_types, + named_key_ids=named_key_ids, + edge_id_from_attribute=edge_id_from_attribute, + ) + writer.dump() + + +def generate_graphml( + G, + encoding="utf-8", + prettyprint=True, + named_key_ids=False, + edge_id_from_attribute=None, +): + """Generate GraphML lines for G + + Parameters + ---------- + G : graph + A networkx graph + encoding : string (optional) + Encoding for text data. + prettyprint : bool (optional) + If True use line breaks and indenting in output XML. + named_key_ids : bool (optional) + If True use attr.name as value for key elements' id attribute. + edge_id_from_attribute : dict key (optional) + If provided, the graphml edge id is set by looking up the corresponding + edge data attribute keyed by this parameter. If `None` or the key does not exist in edge data, + the edge id is set by the edge key if `G` is a MultiGraph, else the edge id is left unset. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> linefeed = chr(10) # linefeed = \n + >>> s = linefeed.join(nx.generate_graphml(G)) + >>> for line in nx.generate_graphml(G): # doctest: +SKIP + ... print(line) + + Notes + ----- + This implementation does not support mixed graphs (directed and unidirected + edges together) hyperedges, nested graphs, or ports. + """ + writer = GraphMLWriter( + encoding=encoding, + prettyprint=prettyprint, + named_key_ids=named_key_ids, + edge_id_from_attribute=edge_id_from_attribute, + ) + writer.add_graph_element(G) + yield from str(writer).splitlines() + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_graphml(path, node_type=str, edge_key_type=int, force_multigraph=False): + """Read graph in GraphML format from path. + + Parameters + ---------- + path : file or string + File or filename to write. + Filenames ending in .gz or .bz2 will be compressed. + + node_type: Python type (default: str) + Convert node ids to this type + + edge_key_type: Python type (default: int) + Convert graphml edge ids to this type. Multigraphs use id as edge key. + Non-multigraphs add to edge attribute dict with name "id". + + force_multigraph : bool (default: False) + If True, return a multigraph with edge keys. If False (the default) + return a multigraph when multiedges are in the graph. + + Returns + ------- + graph: NetworkX graph + If parallel edges are present or `force_multigraph=True` then + a MultiGraph or MultiDiGraph is returned. Otherwise a Graph/DiGraph. + The returned graph is directed if the file indicates it should be. + + Notes + ----- + Default node and edge attributes are not propagated to each node and edge. + They can be obtained from `G.graph` and applied to node and edge attributes + if desired using something like this: + + >>> default_color = G.graph["node_default"]["color"] # doctest: +SKIP + >>> for node, data in G.nodes(data=True): # doctest: +SKIP + ... if "color" not in data: + ... data["color"] = default_color + >>> default_color = G.graph["edge_default"]["color"] # doctest: +SKIP + >>> for u, v, data in G.edges(data=True): # doctest: +SKIP + ... if "color" not in data: + ... data["color"] = default_color + + This implementation does not support mixed graphs (directed and unidirected + edges together), hypergraphs, nested graphs, or ports. + + For multigraphs the GraphML edge "id" will be used as the edge + key. If not specified then they "key" attribute will be used. If + there is no "key" attribute a default NetworkX multigraph edge key + will be provided. + + Files with the yEd "yfiles" extension can be read. The type of the node's + shape is preserved in the `shape_type` node attribute. + + yEd compressed files ("file.graphmlz" extension) can be read by renaming + the file to "file.graphml.gz". + + """ + reader = GraphMLReader(node_type, edge_key_type, force_multigraph) + # need to check for multiple graphs + glist = list(reader(path=path)) + if len(glist) == 0: + # If no graph comes back, try looking for an incomplete header + header = b'' + path.seek(0) + old_bytes = path.read() + new_bytes = old_bytes.replace(b"", header) + glist = list(reader(string=new_bytes)) + if len(glist) == 0: + raise nx.NetworkXError("file not successfully read as graphml") + return glist[0] + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_graphml( + graphml_string, node_type=str, edge_key_type=int, force_multigraph=False +): + """Read graph in GraphML format from string. + + Parameters + ---------- + graphml_string : string + String containing graphml information + (e.g., contents of a graphml file). + + node_type: Python type (default: str) + Convert node ids to this type + + edge_key_type: Python type (default: int) + Convert graphml edge ids to this type. Multigraphs use id as edge key. + Non-multigraphs add to edge attribute dict with name "id". + + force_multigraph : bool (default: False) + If True, return a multigraph with edge keys. If False (the default) + return a multigraph when multiedges are in the graph. + + + Returns + ------- + graph: NetworkX graph + If no parallel edges are found a Graph or DiGraph is returned. + Otherwise a MultiGraph or MultiDiGraph is returned. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> linefeed = chr(10) # linefeed = \n + >>> s = linefeed.join(nx.generate_graphml(G)) + >>> H = nx.parse_graphml(s) + + Notes + ----- + Default node and edge attributes are not propagated to each node and edge. + They can be obtained from `G.graph` and applied to node and edge attributes + if desired using something like this: + + >>> default_color = G.graph["node_default"]["color"] # doctest: +SKIP + >>> for node, data in G.nodes(data=True): # doctest: +SKIP + ... if "color" not in data: + ... data["color"] = default_color + >>> default_color = G.graph["edge_default"]["color"] # doctest: +SKIP + >>> for u, v, data in G.edges(data=True): # doctest: +SKIP + ... if "color" not in data: + ... data["color"] = default_color + + This implementation does not support mixed graphs (directed and unidirected + edges together), hypergraphs, nested graphs, or ports. + + For multigraphs the GraphML edge "id" will be used as the edge + key. If not specified then they "key" attribute will be used. If + there is no "key" attribute a default NetworkX multigraph edge key + will be provided. + + """ + reader = GraphMLReader(node_type, edge_key_type, force_multigraph) + # need to check for multiple graphs + glist = list(reader(string=graphml_string)) + if len(glist) == 0: + # If no graph comes back, try looking for an incomplete header + header = '' + new_string = graphml_string.replace("", header) + glist = list(reader(string=new_string)) + if len(glist) == 0: + raise nx.NetworkXError("file not successfully read as graphml") + return glist[0] + + +class GraphML: + NS_GRAPHML = "http://graphml.graphdrawing.org/xmlns" + NS_XSI = "http://www.w3.org/2001/XMLSchema-instance" + # xmlns:y="http://www.yworks.com/xml/graphml" + NS_Y = "http://www.yworks.com/xml/graphml" + SCHEMALOCATION = " ".join( + [ + "http://graphml.graphdrawing.org/xmlns", + "http://graphml.graphdrawing.org/xmlns/1.0/graphml.xsd", + ] + ) + + def construct_types(self): + types = [ + (int, "integer"), # for Gephi GraphML bug + (str, "yfiles"), + (str, "string"), + (int, "int"), + (int, "long"), + (float, "float"), + (float, "double"), + (bool, "boolean"), + ] + + # These additions to types allow writing numpy types + try: + import numpy as np + except: + pass + else: + # prepend so that python types are created upon read (last entry wins) + types = [ + (np.float64, "float"), + (np.float32, "float"), + (np.float16, "float"), + (np.int_, "int"), + (np.int8, "int"), + (np.int16, "int"), + (np.int32, "int"), + (np.int64, "int"), + (np.uint8, "int"), + (np.uint16, "int"), + (np.uint32, "int"), + (np.uint64, "int"), + (np.int_, "int"), + (np.intc, "int"), + (np.intp, "int"), + ] + types + + self.xml_type = dict(types) + self.python_type = dict(reversed(a) for a in types) + + # This page says that data types in GraphML follow Java(TM). + # http://graphml.graphdrawing.org/primer/graphml-primer.html#AttributesDefinition + # true and false are the only boolean literals: + # http://en.wikibooks.org/wiki/Java_Programming/Literals#Boolean_Literals + convert_bool = { + # We use data.lower() in actual use. + "true": True, + "false": False, + # Include integer strings for convenience. + "0": False, + 0: False, + "1": True, + 1: True, + } + + def get_xml_type(self, key): + """Wrapper around the xml_type dict that raises a more informative + exception message when a user attempts to use data of a type not + supported by GraphML.""" + try: + return self.xml_type[key] + except KeyError as err: + raise TypeError( + f"GraphML does not support type {key} as data values." + ) from err + + +class GraphMLWriter(GraphML): + def __init__( + self, + graph=None, + encoding="utf-8", + prettyprint=True, + infer_numeric_types=False, + named_key_ids=False, + edge_id_from_attribute=None, + ): + self.construct_types() + from xml.etree.ElementTree import Element + + self.myElement = Element + + self.infer_numeric_types = infer_numeric_types + self.prettyprint = prettyprint + self.named_key_ids = named_key_ids + self.edge_id_from_attribute = edge_id_from_attribute + self.encoding = encoding + self.xml = self.myElement( + "graphml", + { + "xmlns": self.NS_GRAPHML, + "xmlns:xsi": self.NS_XSI, + "xsi:schemaLocation": self.SCHEMALOCATION, + }, + ) + self.keys = {} + self.attributes = defaultdict(list) + self.attribute_types = defaultdict(set) + + if graph is not None: + self.add_graph_element(graph) + + def __str__(self): + from xml.etree.ElementTree import tostring + + if self.prettyprint: + self.indent(self.xml) + s = tostring(self.xml).decode(self.encoding) + return s + + def attr_type(self, name, scope, value): + """Infer the attribute type of data named name. Currently this only + supports inference of numeric types. + + If self.infer_numeric_types is false, type is used. Otherwise, pick the + most general of types found across all values with name and scope. This + means edges with data named 'weight' are treated separately from nodes + with data named 'weight'. + """ + if self.infer_numeric_types: + types = self.attribute_types[(name, scope)] + + if len(types) > 1: + types = {self.get_xml_type(t) for t in types} + if "string" in types: + return str + elif "float" in types or "double" in types: + return float + else: + return int + else: + return list(types)[0] + else: + return type(value) + + def get_key(self, name, attr_type, scope, default): + keys_key = (name, attr_type, scope) + try: + return self.keys[keys_key] + except KeyError: + if self.named_key_ids: + new_id = name + else: + new_id = f"d{len(list(self.keys))}" + + self.keys[keys_key] = new_id + key_kwargs = { + "id": new_id, + "for": scope, + "attr.name": name, + "attr.type": attr_type, + } + key_element = self.myElement("key", **key_kwargs) + # add subelement for data default value if present + if default is not None: + default_element = self.myElement("default") + default_element.text = str(default) + key_element.append(default_element) + self.xml.insert(0, key_element) + return new_id + + def add_data(self, name, element_type, value, scope="all", default=None): + """ + Make a data element for an edge or a node. Keep a log of the + type in the keys table. + """ + if element_type not in self.xml_type: + raise nx.NetworkXError( + f"GraphML writer does not support {element_type} as data values." + ) + keyid = self.get_key(name, self.get_xml_type(element_type), scope, default) + data_element = self.myElement("data", key=keyid) + data_element.text = str(value) + return data_element + + def add_attributes(self, scope, xml_obj, data, default): + """Appends attribute data to edges or nodes, and stores type information + to be added later. See add_graph_element. + """ + for k, v in data.items(): + self.attribute_types[(str(k), scope)].add(type(v)) + self.attributes[xml_obj].append([k, v, scope, default.get(k)]) + + def add_nodes(self, G, graph_element): + default = G.graph.get("node_default", {}) + for node, data in G.nodes(data=True): + node_element = self.myElement("node", id=str(node)) + self.add_attributes("node", node_element, data, default) + graph_element.append(node_element) + + def add_edges(self, G, graph_element): + if G.is_multigraph(): + for u, v, key, data in G.edges(data=True, keys=True): + edge_element = self.myElement( + "edge", + source=str(u), + target=str(v), + id=str(data.get(self.edge_id_from_attribute)) + if self.edge_id_from_attribute + and self.edge_id_from_attribute in data + else str(key), + ) + default = G.graph.get("edge_default", {}) + self.add_attributes("edge", edge_element, data, default) + graph_element.append(edge_element) + else: + for u, v, data in G.edges(data=True): + if self.edge_id_from_attribute and self.edge_id_from_attribute in data: + # select attribute to be edge id + edge_element = self.myElement( + "edge", + source=str(u), + target=str(v), + id=str(data.get(self.edge_id_from_attribute)), + ) + else: + # default: no edge id + edge_element = self.myElement("edge", source=str(u), target=str(v)) + default = G.graph.get("edge_default", {}) + self.add_attributes("edge", edge_element, data, default) + graph_element.append(edge_element) + + def add_graph_element(self, G): + """ + Serialize graph G in GraphML to the stream. + """ + if G.is_directed(): + default_edge_type = "directed" + else: + default_edge_type = "undirected" + + graphid = G.graph.pop("id", None) + if graphid is None: + graph_element = self.myElement("graph", edgedefault=default_edge_type) + else: + graph_element = self.myElement( + "graph", edgedefault=default_edge_type, id=graphid + ) + default = {} + data = { + k: v + for (k, v) in G.graph.items() + if k not in ["node_default", "edge_default"] + } + self.add_attributes("graph", graph_element, data, default) + self.add_nodes(G, graph_element) + self.add_edges(G, graph_element) + + # self.attributes contains a mapping from XML Objects to a list of + # data that needs to be added to them. + # We postpone processing in order to do type inference/generalization. + # See self.attr_type + for xml_obj, data in self.attributes.items(): + for k, v, scope, default in data: + xml_obj.append( + self.add_data( + str(k), self.attr_type(k, scope, v), str(v), scope, default + ) + ) + self.xml.append(graph_element) + + def add_graphs(self, graph_list): + """Add many graphs to this GraphML document.""" + for G in graph_list: + self.add_graph_element(G) + + def dump(self, stream): + from xml.etree.ElementTree import ElementTree + + if self.prettyprint: + self.indent(self.xml) + document = ElementTree(self.xml) + document.write(stream, encoding=self.encoding, xml_declaration=True) + + def indent(self, elem, level=0): + # in-place prettyprint formatter + i = "\n" + level * " " + if len(elem): + if not elem.text or not elem.text.strip(): + elem.text = i + " " + if not elem.tail or not elem.tail.strip(): + elem.tail = i + for elem in elem: + self.indent(elem, level + 1) + if not elem.tail or not elem.tail.strip(): + elem.tail = i + else: + if level and (not elem.tail or not elem.tail.strip()): + elem.tail = i + + +class IncrementalElement: + """Wrapper for _IncrementalWriter providing an Element like interface. + + This wrapper does not intend to be a complete implementation but rather to + deal with those calls used in GraphMLWriter. + """ + + def __init__(self, xml, prettyprint): + self.xml = xml + self.prettyprint = prettyprint + + def append(self, element): + self.xml.write(element, pretty_print=self.prettyprint) + + +class GraphMLWriterLxml(GraphMLWriter): + def __init__( + self, + path, + graph=None, + encoding="utf-8", + prettyprint=True, + infer_numeric_types=False, + named_key_ids=False, + edge_id_from_attribute=None, + ): + self.construct_types() + import lxml.etree as lxmletree + + self.myElement = lxmletree.Element + + self._encoding = encoding + self._prettyprint = prettyprint + self.named_key_ids = named_key_ids + self.edge_id_from_attribute = edge_id_from_attribute + self.infer_numeric_types = infer_numeric_types + + self._xml_base = lxmletree.xmlfile(path, encoding=encoding) + self._xml = self._xml_base.__enter__() + self._xml.write_declaration() + + # We need to have a xml variable that support insertion. This call is + # used for adding the keys to the document. + # We will store those keys in a plain list, and then after the graph + # element is closed we will add them to the main graphml element. + self.xml = [] + self._keys = self.xml + self._graphml = self._xml.element( + "graphml", + { + "xmlns": self.NS_GRAPHML, + "xmlns:xsi": self.NS_XSI, + "xsi:schemaLocation": self.SCHEMALOCATION, + }, + ) + self._graphml.__enter__() + self.keys = {} + self.attribute_types = defaultdict(set) + + if graph is not None: + self.add_graph_element(graph) + + def add_graph_element(self, G): + """ + Serialize graph G in GraphML to the stream. + """ + if G.is_directed(): + default_edge_type = "directed" + else: + default_edge_type = "undirected" + + graphid = G.graph.pop("id", None) + if graphid is None: + graph_element = self._xml.element("graph", edgedefault=default_edge_type) + else: + graph_element = self._xml.element( + "graph", edgedefault=default_edge_type, id=graphid + ) + + # gather attributes types for the whole graph + # to find the most general numeric format needed. + # Then pass through attributes to create key_id for each. + graphdata = { + k: v + for k, v in G.graph.items() + if k not in ("node_default", "edge_default") + } + node_default = G.graph.get("node_default", {}) + edge_default = G.graph.get("edge_default", {}) + # Graph attributes + for k, v in graphdata.items(): + self.attribute_types[(str(k), "graph")].add(type(v)) + for k, v in graphdata.items(): + element_type = self.get_xml_type(self.attr_type(k, "graph", v)) + self.get_key(str(k), element_type, "graph", None) + # Nodes and data + for node, d in G.nodes(data=True): + for k, v in d.items(): + self.attribute_types[(str(k), "node")].add(type(v)) + for node, d in G.nodes(data=True): + for k, v in d.items(): + T = self.get_xml_type(self.attr_type(k, "node", v)) + self.get_key(str(k), T, "node", node_default.get(k)) + # Edges and data + if G.is_multigraph(): + for u, v, ekey, d in G.edges(keys=True, data=True): + for k, v in d.items(): + self.attribute_types[(str(k), "edge")].add(type(v)) + for u, v, ekey, d in G.edges(keys=True, data=True): + for k, v in d.items(): + T = self.get_xml_type(self.attr_type(k, "edge", v)) + self.get_key(str(k), T, "edge", edge_default.get(k)) + else: + for u, v, d in G.edges(data=True): + for k, v in d.items(): + self.attribute_types[(str(k), "edge")].add(type(v)) + for u, v, d in G.edges(data=True): + for k, v in d.items(): + T = self.get_xml_type(self.attr_type(k, "edge", v)) + self.get_key(str(k), T, "edge", edge_default.get(k)) + + # Now add attribute keys to the xml file + for key in self.xml: + self._xml.write(key, pretty_print=self._prettyprint) + + # The incremental_writer writes each node/edge as it is created + incremental_writer = IncrementalElement(self._xml, self._prettyprint) + with graph_element: + self.add_attributes("graph", incremental_writer, graphdata, {}) + self.add_nodes(G, incremental_writer) # adds attributes too + self.add_edges(G, incremental_writer) # adds attributes too + + def add_attributes(self, scope, xml_obj, data, default): + """Appends attribute data.""" + for k, v in data.items(): + data_element = self.add_data( + str(k), self.attr_type(str(k), scope, v), str(v), scope, default.get(k) + ) + xml_obj.append(data_element) + + def __str__(self): + return object.__str__(self) + + def dump(self, stream=None): + self._graphml.__exit__(None, None, None) + self._xml_base.__exit__(None, None, None) + + +# default is lxml is present. +write_graphml = write_graphml_lxml + + +class GraphMLReader(GraphML): + """Read a GraphML document. Produces NetworkX graph objects.""" + + def __init__(self, node_type=str, edge_key_type=int, force_multigraph=False): + self.construct_types() + self.node_type = node_type + self.edge_key_type = edge_key_type + self.multigraph = force_multigraph # If False, test for multiedges + self.edge_ids = {} # dict mapping (u,v) tuples to edge id attributes + + def __call__(self, path=None, string=None): + from xml.etree.ElementTree import ElementTree, fromstring + + if path is not None: + self.xml = ElementTree(file=path) + elif string is not None: + self.xml = fromstring(string) + else: + raise ValueError("Must specify either 'path' or 'string' as kwarg") + (keys, defaults) = self.find_graphml_keys(self.xml) + for g in self.xml.findall(f"{{{self.NS_GRAPHML}}}graph"): + yield self.make_graph(g, keys, defaults) + + def make_graph(self, graph_xml, graphml_keys, defaults, G=None): + # set default graph type + edgedefault = graph_xml.get("edgedefault", None) + if G is None: + if edgedefault == "directed": + G = nx.MultiDiGraph() + else: + G = nx.MultiGraph() + # set defaults for graph attributes + G.graph["node_default"] = {} + G.graph["edge_default"] = {} + for key_id, value in defaults.items(): + key_for = graphml_keys[key_id]["for"] + name = graphml_keys[key_id]["name"] + python_type = graphml_keys[key_id]["type"] + if key_for == "node": + G.graph["node_default"].update({name: python_type(value)}) + if key_for == "edge": + G.graph["edge_default"].update({name: python_type(value)}) + # hyperedges are not supported + hyperedge = graph_xml.find(f"{{{self.NS_GRAPHML}}}hyperedge") + if hyperedge is not None: + raise nx.NetworkXError("GraphML reader doesn't support hyperedges") + # add nodes + for node_xml in graph_xml.findall(f"{{{self.NS_GRAPHML}}}node"): + self.add_node(G, node_xml, graphml_keys, defaults) + # add edges + for edge_xml in graph_xml.findall(f"{{{self.NS_GRAPHML}}}edge"): + self.add_edge(G, edge_xml, graphml_keys) + # add graph data + data = self.decode_data_elements(graphml_keys, graph_xml) + G.graph.update(data) + + # switch to Graph or DiGraph if no parallel edges were found + if self.multigraph: + return G + + G = nx.DiGraph(G) if G.is_directed() else nx.Graph(G) + # add explicit edge "id" from file as attribute in NX graph. + nx.set_edge_attributes(G, values=self.edge_ids, name="id") + return G + + def add_node(self, G, node_xml, graphml_keys, defaults): + """Add a node to the graph.""" + # warn on finding unsupported ports tag + ports = node_xml.find(f"{{{self.NS_GRAPHML}}}port") + if ports is not None: + warnings.warn("GraphML port tag not supported.") + # find the node by id and cast it to the appropriate type + node_id = self.node_type(node_xml.get("id")) + # get data/attributes for node + data = self.decode_data_elements(graphml_keys, node_xml) + G.add_node(node_id, **data) + # get child nodes + if node_xml.attrib.get("yfiles.foldertype") == "group": + graph_xml = node_xml.find(f"{{{self.NS_GRAPHML}}}graph") + self.make_graph(graph_xml, graphml_keys, defaults, G) + + def add_edge(self, G, edge_element, graphml_keys): + """Add an edge to the graph.""" + # warn on finding unsupported ports tag + ports = edge_element.find(f"{{{self.NS_GRAPHML}}}port") + if ports is not None: + warnings.warn("GraphML port tag not supported.") + + # raise error if we find mixed directed and undirected edges + directed = edge_element.get("directed") + if G.is_directed() and directed == "false": + msg = "directed=false edge found in directed graph." + raise nx.NetworkXError(msg) + if (not G.is_directed()) and directed == "true": + msg = "directed=true edge found in undirected graph." + raise nx.NetworkXError(msg) + + source = self.node_type(edge_element.get("source")) + target = self.node_type(edge_element.get("target")) + data = self.decode_data_elements(graphml_keys, edge_element) + # GraphML stores edge ids as an attribute + # NetworkX uses them as keys in multigraphs too if no key + # attribute is specified + edge_id = edge_element.get("id") + if edge_id: + # self.edge_ids is used by `make_graph` method for non-multigraphs + self.edge_ids[source, target] = edge_id + try: + edge_id = self.edge_key_type(edge_id) + except ValueError: # Could not convert. + pass + else: + edge_id = data.get("key") + + if G.has_edge(source, target): + # mark this as a multigraph + self.multigraph = True + + # Use add_edges_from to avoid error with add_edge when `'key' in data` + # Note there is only one edge here... + G.add_edges_from([(source, target, edge_id, data)]) + + def decode_data_elements(self, graphml_keys, obj_xml): + """Use the key information to decode the data XML if present.""" + data = {} + for data_element in obj_xml.findall(f"{{{self.NS_GRAPHML}}}data"): + key = data_element.get("key") + try: + data_name = graphml_keys[key]["name"] + data_type = graphml_keys[key]["type"] + except KeyError as err: + raise nx.NetworkXError(f"Bad GraphML data: no key {key}") from err + text = data_element.text + # assume anything with subelements is a yfiles extension + if text is not None and len(list(data_element)) == 0: + if data_type == bool: + # Ignore cases. + # http://docs.oracle.com/javase/6/docs/api/java/lang/ + # Boolean.html#parseBoolean%28java.lang.String%29 + data[data_name] = self.convert_bool[text.lower()] + else: + data[data_name] = data_type(text) + elif len(list(data_element)) > 0: + # Assume yfiles as subelements, try to extract node_label + node_label = None + # set GenericNode's configuration as shape type + gn = data_element.find(f"{{{self.NS_Y}}}GenericNode") + if gn is not None: + data["shape_type"] = gn.get("configuration") + for node_type in ["GenericNode", "ShapeNode", "SVGNode", "ImageNode"]: + pref = f"{{{self.NS_Y}}}{node_type}/{{{self.NS_Y}}}" + geometry = data_element.find(f"{pref}Geometry") + if geometry is not None: + data["x"] = geometry.get("x") + data["y"] = geometry.get("y") + if node_label is None: + node_label = data_element.find(f"{pref}NodeLabel") + shape = data_element.find(f"{pref}Shape") + if shape is not None: + data["shape_type"] = shape.get("type") + if node_label is not None: + data["label"] = node_label.text + + # check all the different types of edges available in yEd. + for edge_type in [ + "PolyLineEdge", + "SplineEdge", + "QuadCurveEdge", + "BezierEdge", + "ArcEdge", + ]: + pref = f"{{{self.NS_Y}}}{edge_type}/{{{self.NS_Y}}}" + edge_label = data_element.find(f"{pref}EdgeLabel") + if edge_label is not None: + break + if edge_label is not None: + data["label"] = edge_label.text + elif text is None: + data[data_name] = "" + return data + + def find_graphml_keys(self, graph_element): + """Extracts all the keys and key defaults from the xml.""" + graphml_keys = {} + graphml_key_defaults = {} + for k in graph_element.findall(f"{{{self.NS_GRAPHML}}}key"): + attr_id = k.get("id") + attr_type = k.get("attr.type") + attr_name = k.get("attr.name") + yfiles_type = k.get("yfiles.type") + if yfiles_type is not None: + attr_name = yfiles_type + attr_type = "yfiles" + if attr_type is None: + attr_type = "string" + warnings.warn(f"No key type for id {attr_id}. Using string") + if attr_name is None: + raise nx.NetworkXError(f"Unknown key for id {attr_id}.") + graphml_keys[attr_id] = { + "name": attr_name, + "type": self.python_type[attr_type], + "for": k.get("for"), + } + # check for "default" sub-element of key element + default = k.find(f"{{{self.NS_GRAPHML}}}default") + if default is not None: + # Handle default values identically to data element values + python_type = graphml_keys[attr_id]["type"] + if python_type == bool: + graphml_key_defaults[attr_id] = self.convert_bool[ + default.text.lower() + ] + else: + graphml_key_defaults[attr_id] = python_type(default.text) + return graphml_keys, graphml_key_defaults diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..532c71d79b7b8936481be8db0defaedf9a96b3e3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/__init__.py @@ -0,0 +1,19 @@ +""" +********* +JSON data +********* +Generate and parse JSON serializable data for NetworkX graphs. + +These formats are suitable for use with the d3.js examples https://d3js.org/ + +The three formats that you can generate with NetworkX are: + + - node-link like in the d3.js example https://bl.ocks.org/mbostock/4062045 + - tree like in the d3.js example https://bl.ocks.org/mbostock/4063550 + - adjacency like in the d3.js example https://bost.ocks.org/mike/miserables/ +""" + +from networkx.readwrite.json_graph.node_link import * +from networkx.readwrite.json_graph.adjacency import * +from networkx.readwrite.json_graph.tree import * +from networkx.readwrite.json_graph.cytoscape import * diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/adjacency.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/adjacency.py new file mode 100644 index 0000000000000000000000000000000000000000..3b05747565e73388b0871fbb7daf0f85ad2ce98b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/adjacency.py @@ -0,0 +1,156 @@ +import networkx as nx + +__all__ = ["adjacency_data", "adjacency_graph"] + +_attrs = {"id": "id", "key": "key"} + + +def adjacency_data(G, attrs=_attrs): + """Returns data in adjacency format that is suitable for JSON serialization + and use in JavaScript documents. + + Parameters + ---------- + G : NetworkX graph + + attrs : dict + A dictionary that contains two keys 'id' and 'key'. The corresponding + values provide the attribute names for storing NetworkX-internal graph + data. The values should be unique. Default value: + :samp:`dict(id='id', key='key')`. + + If some user-defined graph data use these attribute names as data keys, + they may be silently dropped. + + Returns + ------- + data : dict + A dictionary with adjacency formatted data. + + Raises + ------ + NetworkXError + If values in attrs are not unique. + + Examples + -------- + >>> from networkx.readwrite import json_graph + >>> G = nx.Graph([(1, 2)]) + >>> data = json_graph.adjacency_data(G) + + To serialize with json + + >>> import json + >>> s = json.dumps(data) + + Notes + ----- + Graph, node, and link attributes will be written when using this format + but attribute keys must be strings if you want to serialize the resulting + data with JSON. + + The default value of attrs will be changed in a future release of NetworkX. + + See Also + -------- + adjacency_graph, node_link_data, tree_data + """ + multigraph = G.is_multigraph() + id_ = attrs["id"] + # Allow 'key' to be omitted from attrs if the graph is not a multigraph. + key = None if not multigraph else attrs["key"] + if id_ == key: + raise nx.NetworkXError("Attribute names are not unique.") + data = {} + data["directed"] = G.is_directed() + data["multigraph"] = multigraph + data["graph"] = list(G.graph.items()) + data["nodes"] = [] + data["adjacency"] = [] + for n, nbrdict in G.adjacency(): + data["nodes"].append({**G.nodes[n], id_: n}) + adj = [] + if multigraph: + for nbr, keys in nbrdict.items(): + for k, d in keys.items(): + adj.append({**d, id_: nbr, key: k}) + else: + for nbr, d in nbrdict.items(): + adj.append({**d, id_: nbr}) + data["adjacency"].append(adj) + return data + + +@nx._dispatchable(graphs=None, returns_graph=True) +def adjacency_graph(data, directed=False, multigraph=True, attrs=_attrs): + """Returns graph from adjacency data format. + + Parameters + ---------- + data : dict + Adjacency list formatted graph data + + directed : bool + If True, and direction not specified in data, return a directed graph. + + multigraph : bool + If True, and multigraph not specified in data, return a multigraph. + + attrs : dict + A dictionary that contains two keys 'id' and 'key'. The corresponding + values provide the attribute names for storing NetworkX-internal graph + data. The values should be unique. Default value: + :samp:`dict(id='id', key='key')`. + + Returns + ------- + G : NetworkX graph + A NetworkX graph object + + Examples + -------- + >>> from networkx.readwrite import json_graph + >>> G = nx.Graph([(1, 2)]) + >>> data = json_graph.adjacency_data(G) + >>> H = json_graph.adjacency_graph(data) + + Notes + ----- + The default value of attrs will be changed in a future release of NetworkX. + + See Also + -------- + adjacency_graph, node_link_data, tree_data + """ + multigraph = data.get("multigraph", multigraph) + directed = data.get("directed", directed) + if multigraph: + graph = nx.MultiGraph() + else: + graph = nx.Graph() + if directed: + graph = graph.to_directed() + id_ = attrs["id"] + # Allow 'key' to be omitted from attrs if the graph is not a multigraph. + key = None if not multigraph else attrs["key"] + graph.graph = dict(data.get("graph", [])) + mapping = [] + for d in data["nodes"]: + node_data = d.copy() + node = node_data.pop(id_) + mapping.append(node) + graph.add_node(node) + graph.nodes[node].update(node_data) + for i, d in enumerate(data["adjacency"]): + source = mapping[i] + for tdata in d: + target_data = tdata.copy() + target = target_data.pop(id_) + if not multigraph: + graph.add_edge(source, target) + graph[source][target].update(target_data) + else: + ky = target_data.pop(key, None) + graph.add_edge(source, target, key=ky) + graph[source][target][ky].update(target_data) + return graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/cytoscape.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/cytoscape.py new file mode 100644 index 0000000000000000000000000000000000000000..2f3b2176ab403fa9b85acdded5b97a6ebc728855 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/cytoscape.py @@ -0,0 +1,178 @@ +import networkx as nx + +__all__ = ["cytoscape_data", "cytoscape_graph"] + + +def cytoscape_data(G, name="name", ident="id"): + """Returns data in Cytoscape JSON format (cyjs). + + Parameters + ---------- + G : NetworkX Graph + The graph to convert to cytoscape format + name : string + A string which is mapped to the 'name' node element in cyjs format. + Must not have the same value as `ident`. + ident : string + A string which is mapped to the 'id' node element in cyjs format. + Must not have the same value as `name`. + + Returns + ------- + data: dict + A dictionary with cyjs formatted data. + + Raises + ------ + NetworkXError + If the values for `name` and `ident` are identical. + + See Also + -------- + cytoscape_graph: convert a dictionary in cyjs format to a graph + + References + ---------- + .. [1] Cytoscape user's manual: + http://manual.cytoscape.org/en/stable/index.html + + Examples + -------- + >>> G = nx.path_graph(2) + >>> nx.cytoscape_data(G) # doctest: +SKIP + {'data': [], + 'directed': False, + 'multigraph': False, + 'elements': {'nodes': [{'data': {'id': '0', 'value': 0, 'name': '0'}}, + {'data': {'id': '1', 'value': 1, 'name': '1'}}], + 'edges': [{'data': {'source': 0, 'target': 1}}]}} + """ + if name == ident: + raise nx.NetworkXError("name and ident must be different.") + + jsondata = {"data": list(G.graph.items())} + jsondata["directed"] = G.is_directed() + jsondata["multigraph"] = G.is_multigraph() + jsondata["elements"] = {"nodes": [], "edges": []} + nodes = jsondata["elements"]["nodes"] + edges = jsondata["elements"]["edges"] + + for i, j in G.nodes.items(): + n = {"data": j.copy()} + n["data"]["id"] = j.get(ident) or str(i) + n["data"]["value"] = i + n["data"]["name"] = j.get(name) or str(i) + nodes.append(n) + + if G.is_multigraph(): + for e in G.edges(keys=True): + n = {"data": G.adj[e[0]][e[1]][e[2]].copy()} + n["data"]["source"] = e[0] + n["data"]["target"] = e[1] + n["data"]["key"] = e[2] + edges.append(n) + else: + for e in G.edges(): + n = {"data": G.adj[e[0]][e[1]].copy()} + n["data"]["source"] = e[0] + n["data"]["target"] = e[1] + edges.append(n) + return jsondata + + +@nx._dispatchable(graphs=None, returns_graph=True) +def cytoscape_graph(data, name="name", ident="id"): + """ + Create a NetworkX graph from a dictionary in cytoscape JSON format. + + Parameters + ---------- + data : dict + A dictionary of data conforming to cytoscape JSON format. + name : string + A string which is mapped to the 'name' node element in cyjs format. + Must not have the same value as `ident`. + ident : string + A string which is mapped to the 'id' node element in cyjs format. + Must not have the same value as `name`. + + Returns + ------- + graph : a NetworkX graph instance + The `graph` can be an instance of `Graph`, `DiGraph`, `MultiGraph`, or + `MultiDiGraph` depending on the input data. + + Raises + ------ + NetworkXError + If the `name` and `ident` attributes are identical. + + See Also + -------- + cytoscape_data: convert a NetworkX graph to a dict in cyjs format + + References + ---------- + .. [1] Cytoscape user's manual: + http://manual.cytoscape.org/en/stable/index.html + + Examples + -------- + >>> data_dict = { + ... "data": [], + ... "directed": False, + ... "multigraph": False, + ... "elements": { + ... "nodes": [ + ... {"data": {"id": "0", "value": 0, "name": "0"}}, + ... {"data": {"id": "1", "value": 1, "name": "1"}}, + ... ], + ... "edges": [{"data": {"source": 0, "target": 1}}], + ... }, + ... } + >>> G = nx.cytoscape_graph(data_dict) + >>> G.name + '' + >>> G.nodes() + NodeView((0, 1)) + >>> G.nodes(data=True)[0] + {'id': '0', 'value': 0, 'name': '0'} + >>> G.edges(data=True) + EdgeDataView([(0, 1, {'source': 0, 'target': 1})]) + """ + if name == ident: + raise nx.NetworkXError("name and ident must be different.") + + multigraph = data.get("multigraph") + directed = data.get("directed") + if multigraph: + graph = nx.MultiGraph() + else: + graph = nx.Graph() + if directed: + graph = graph.to_directed() + graph.graph = dict(data.get("data")) + for d in data["elements"]["nodes"]: + node_data = d["data"].copy() + node = d["data"]["value"] + + if d["data"].get(name): + node_data[name] = d["data"].get(name) + if d["data"].get(ident): + node_data[ident] = d["data"].get(ident) + + graph.add_node(node) + graph.nodes[node].update(node_data) + + for d in data["elements"]["edges"]: + edge_data = d["data"].copy() + sour = d["data"]["source"] + targ = d["data"]["target"] + if multigraph: + key = d["data"].get("key", 0) + graph.add_edge(sour, targ, key=key) + graph.edges[sour, targ, key].update(edge_data) + else: + graph.add_edge(sour, targ) + graph.edges[sour, targ].update(edge_data) + return graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/node_link.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/node_link.py new file mode 100644 index 0000000000000000000000000000000000000000..63ca9789f1f3e0b1d88d276cd188e06d23100ccf --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/node_link.py @@ -0,0 +1,330 @@ +import warnings +from itertools import count + +import networkx as nx + +__all__ = ["node_link_data", "node_link_graph"] + + +def _to_tuple(x): + """Converts lists to tuples, including nested lists. + + All other non-list inputs are passed through unmodified. This function is + intended to be used to convert potentially nested lists from json files + into valid nodes. + + Examples + -------- + >>> _to_tuple([1, 2, [3, 4]]) + (1, 2, (3, 4)) + """ + if not isinstance(x, tuple | list): + return x + return tuple(map(_to_tuple, x)) + + +def node_link_data( + G, + *, + source="source", + target="target", + name="id", + key="key", + edges=None, + nodes="nodes", + link=None, +): + """Returns data in node-link format that is suitable for JSON serialization + and use in JavaScript documents. + + Parameters + ---------- + G : NetworkX graph + source : string + A string that provides the 'source' attribute name for storing NetworkX-internal graph data. + target : string + A string that provides the 'target' attribute name for storing NetworkX-internal graph data. + name : string + A string that provides the 'name' attribute name for storing NetworkX-internal graph data. + key : string + A string that provides the 'key' attribute name for storing NetworkX-internal graph data. + edges : string + A string that provides the 'edges' attribute name for storing NetworkX-internal graph data. + nodes : string + A string that provides the 'nodes' attribute name for storing NetworkX-internal graph data. + link : string + .. deprecated:: 3.4 + + The `link` argument is deprecated and will be removed in version `3.6`. + Use the `edges` keyword instead. + + A string that provides the 'edges' attribute name for storing NetworkX-internal graph data. + + Returns + ------- + data : dict + A dictionary with node-link formatted data. + + Raises + ------ + NetworkXError + If the values of 'source', 'target' and 'key' are not unique. + + Examples + -------- + >>> from pprint import pprint + >>> G = nx.Graph([("A", "B")]) + >>> data1 = nx.node_link_data(G, edges="edges") + >>> pprint(data1) + {'directed': False, + 'edges': [{'source': 'A', 'target': 'B'}], + 'graph': {}, + 'multigraph': False, + 'nodes': [{'id': 'A'}, {'id': 'B'}]} + + To serialize with JSON + + >>> import json + >>> s1 = json.dumps(data1) + >>> s1 + '{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": "A"}, {"id": "B"}], "edges": [{"source": "A", "target": "B"}]}' + + A graph can also be serialized by passing `node_link_data` as an encoder function. + + >>> s1 = json.dumps(G, default=nx.node_link_data) + >>> s1 + '{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": "A"}, {"id": "B"}], "links": [{"source": "A", "target": "B"}]}' + + The attribute names for storing NetworkX-internal graph data can + be specified as keyword options. + + >>> H = nx.gn_graph(2) + >>> data2 = nx.node_link_data( + ... H, edges="links", source="from", target="to", nodes="vertices" + ... ) + >>> pprint(data2) + {'directed': True, + 'graph': {}, + 'links': [{'from': 1, 'to': 0}], + 'multigraph': False, + 'vertices': [{'id': 0}, {'id': 1}]} + + Notes + ----- + Graph, node, and link attributes are stored in this format. Note that + attribute keys will be converted to strings in order to comply with JSON. + + Attribute 'key' is only used for multigraphs. + + To use `node_link_data` in conjunction with `node_link_graph`, + the keyword names for the attributes must match. + + See Also + -------- + node_link_graph, adjacency_data, tree_data + """ + # TODO: Remove between the lines when `link` deprecation expires + # ------------------------------------------------------------- + if link is not None: + warnings.warn( + "Keyword argument 'link' is deprecated; use 'edges' instead", + DeprecationWarning, + stacklevel=2, + ) + if edges is not None: + raise ValueError( + "Both 'edges' and 'link' are specified. Use 'edges', 'link' will be remove in a future release" + ) + else: + edges = link + else: + if edges is None: + warnings.warn( + ( + '\nThe default value will be `edges="edges" in NetworkX 3.6.\n\n' + "To make this warning go away, explicitly set the edges kwarg, e.g.:\n\n" + ' nx.node_link_data(G, edges="links") to preserve current behavior, or\n' + ' nx.node_link_data(G, edges="edges") for forward compatibility.' + ), + FutureWarning, + ) + edges = "links" + # ------------------------------------------------------------ + + multigraph = G.is_multigraph() + + # Allow 'key' to be omitted from attrs if the graph is not a multigraph. + key = None if not multigraph else key + if len({source, target, key}) < 3: + raise nx.NetworkXError("Attribute names are not unique.") + data = { + "directed": G.is_directed(), + "multigraph": multigraph, + "graph": G.graph, + nodes: [{**G.nodes[n], name: n} for n in G], + } + if multigraph: + data[edges] = [ + {**d, source: u, target: v, key: k} + for u, v, k, d in G.edges(keys=True, data=True) + ] + else: + data[edges] = [{**d, source: u, target: v} for u, v, d in G.edges(data=True)] + return data + + +@nx._dispatchable(graphs=None, returns_graph=True) +def node_link_graph( + data, + directed=False, + multigraph=True, + *, + source="source", + target="target", + name="id", + key="key", + edges=None, + nodes="nodes", + link=None, +): + """Returns graph from node-link data format. + + Useful for de-serialization from JSON. + + Parameters + ---------- + data : dict + node-link formatted graph data + + directed : bool + If True, and direction not specified in data, return a directed graph. + + multigraph : bool + If True, and multigraph not specified in data, return a multigraph. + + source : string + A string that provides the 'source' attribute name for storing NetworkX-internal graph data. + target : string + A string that provides the 'target' attribute name for storing NetworkX-internal graph data. + name : string + A string that provides the 'name' attribute name for storing NetworkX-internal graph data. + key : string + A string that provides the 'key' attribute name for storing NetworkX-internal graph data. + edges : string + A string that provides the 'edges' attribute name for storing NetworkX-internal graph data. + nodes : string + A string that provides the 'nodes' attribute name for storing NetworkX-internal graph data. + link : string + .. deprecated:: 3.4 + + The `link` argument is deprecated and will be removed in version `3.6`. + Use the `edges` keyword instead. + + A string that provides the 'edges' attribute name for storing NetworkX-internal graph data. + + Returns + ------- + G : NetworkX graph + A NetworkX graph object + + Examples + -------- + + Create data in node-link format by converting a graph. + + >>> from pprint import pprint + >>> G = nx.Graph([("A", "B")]) + >>> data = nx.node_link_data(G, edges="edges") + >>> pprint(data) + {'directed': False, + 'edges': [{'source': 'A', 'target': 'B'}], + 'graph': {}, + 'multigraph': False, + 'nodes': [{'id': 'A'}, {'id': 'B'}]} + + Revert data in node-link format to a graph. + + >>> H = nx.node_link_graph(data, edges="edges") + >>> print(H.edges) + [('A', 'B')] + + To serialize and deserialize a graph with JSON, + + >>> import json + >>> d = json.dumps(nx.node_link_data(G, edges="edges")) + >>> H = nx.node_link_graph(json.loads(d), edges="edges") + >>> print(G.edges, H.edges) + [('A', 'B')] [('A', 'B')] + + + Notes + ----- + Attribute 'key' is only used for multigraphs. + + To use `node_link_data` in conjunction with `node_link_graph`, + the keyword names for the attributes must match. + + See Also + -------- + node_link_data, adjacency_data, tree_data + """ + # TODO: Remove between the lines when `link` deprecation expires + # ------------------------------------------------------------- + if link is not None: + warnings.warn( + "Keyword argument 'link' is deprecated; use 'edges' instead", + DeprecationWarning, + stacklevel=2, + ) + if edges is not None: + raise ValueError( + "Both 'edges' and 'link' are specified. Use 'edges', 'link' will be remove in a future release" + ) + else: + edges = link + else: + if edges is None: + warnings.warn( + ( + '\nThe default value will be changed to `edges="edges" in NetworkX 3.6.\n\n' + "To make this warning go away, explicitly set the edges kwarg, e.g.:\n\n" + ' nx.node_link_graph(data, edges="links") to preserve current behavior, or\n' + ' nx.node_link_graph(data, edges="edges") for forward compatibility.' + ), + FutureWarning, + ) + edges = "links" + # ------------------------------------------------------------- + + multigraph = data.get("multigraph", multigraph) + directed = data.get("directed", directed) + if multigraph: + graph = nx.MultiGraph() + else: + graph = nx.Graph() + if directed: + graph = graph.to_directed() + + # Allow 'key' to be omitted from attrs if the graph is not a multigraph. + key = None if not multigraph else key + graph.graph = data.get("graph", {}) + c = count() + for d in data[nodes]: + node = _to_tuple(d.get(name, next(c))) + nodedata = {str(k): v for k, v in d.items() if k != name} + graph.add_node(node, **nodedata) + for d in data[edges]: + src = tuple(d[source]) if isinstance(d[source], list) else d[source] + tgt = tuple(d[target]) if isinstance(d[target], list) else d[target] + if not multigraph: + edgedata = {str(k): v for k, v in d.items() if k != source and k != target} + graph.add_edge(src, tgt, **edgedata) + else: + ky = d.get(key, None) + edgedata = { + str(k): v + for k, v in d.items() + if k != source and k != target and k != key + } + graph.add_edge(src, tgt, ky, **edgedata) + return graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_adjacency.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_adjacency.py new file mode 100644 index 0000000000000000000000000000000000000000..37506382c55a110b26fdba32a268545d23f4474b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_adjacency.py @@ -0,0 +1,78 @@ +import copy +import json + +import pytest + +import networkx as nx +from networkx.readwrite.json_graph import adjacency_data, adjacency_graph +from networkx.utils import graphs_equal + + +class TestAdjacency: + def test_graph(self): + G = nx.path_graph(4) + H = adjacency_graph(adjacency_data(G)) + assert graphs_equal(G, H) + + def test_graph_attributes(self): + G = nx.path_graph(4) + G.add_node(1, color="red") + G.add_edge(1, 2, width=7) + G.graph["foo"] = "bar" + G.graph[1] = "one" + + H = adjacency_graph(adjacency_data(G)) + assert graphs_equal(G, H) + assert H.graph["foo"] == "bar" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + + d = json.dumps(adjacency_data(G)) + H = adjacency_graph(json.loads(d)) + assert graphs_equal(G, H) + assert H.graph["foo"] == "bar" + assert H.graph[1] == "one" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + + def test_digraph(self): + G = nx.DiGraph() + nx.add_path(G, [1, 2, 3]) + H = adjacency_graph(adjacency_data(G)) + assert H.is_directed() + assert graphs_equal(G, H) + + def test_multidigraph(self): + G = nx.MultiDiGraph() + nx.add_path(G, [1, 2, 3]) + H = adjacency_graph(adjacency_data(G)) + assert H.is_directed() + assert H.is_multigraph() + assert graphs_equal(G, H) + + def test_multigraph(self): + G = nx.MultiGraph() + G.add_edge(1, 2, key="first") + G.add_edge(1, 2, key="second", color="blue") + H = adjacency_graph(adjacency_data(G)) + assert graphs_equal(G, H) + assert H[1][2]["second"]["color"] == "blue" + + def test_input_data_is_not_modified_when_building_graph(self): + G = nx.path_graph(4) + input_data = adjacency_data(G) + orig_data = copy.deepcopy(input_data) + # Ensure input is unmodified by deserialisation + assert graphs_equal(G, adjacency_graph(input_data)) + assert input_data == orig_data + + def test_adjacency_form_json_serialisable(self): + G = nx.path_graph(4) + H = adjacency_graph(json.loads(json.dumps(adjacency_data(G)))) + assert graphs_equal(G, H) + + def test_exception(self): + with pytest.raises(nx.NetworkXError): + G = nx.MultiDiGraph() + attrs = {"id": "node", "key": "node"} + adjacency_data(G, attrs) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_cytoscape.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_cytoscape.py new file mode 100644 index 0000000000000000000000000000000000000000..5d47f21f4217d1997165c4f19feb67d283d2dab2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_cytoscape.py @@ -0,0 +1,78 @@ +import copy +import json + +import pytest + +import networkx as nx +from networkx.readwrite.json_graph import cytoscape_data, cytoscape_graph + + +def test_graph(): + G = nx.path_graph(4) + H = cytoscape_graph(cytoscape_data(G)) + assert nx.is_isomorphic(G, H) + + +def test_input_data_is_not_modified_when_building_graph(): + G = nx.path_graph(4) + input_data = cytoscape_data(G) + orig_data = copy.deepcopy(input_data) + # Ensure input is unmodified by cytoscape_graph (gh-4173) + cytoscape_graph(input_data) + assert input_data == orig_data + + +def test_graph_attributes(): + G = nx.path_graph(4) + G.add_node(1, color="red") + G.add_edge(1, 2, width=7) + G.graph["foo"] = "bar" + G.graph[1] = "one" + G.add_node(3, name="node", id="123") + + H = cytoscape_graph(cytoscape_data(G)) + assert H.graph["foo"] == "bar" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + assert H.nodes[3]["name"] == "node" + assert H.nodes[3]["id"] == "123" + + d = json.dumps(cytoscape_data(G)) + H = cytoscape_graph(json.loads(d)) + assert H.graph["foo"] == "bar" + assert H.graph[1] == "one" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + assert H.nodes[3]["name"] == "node" + assert H.nodes[3]["id"] == "123" + + +def test_digraph(): + G = nx.DiGraph() + nx.add_path(G, [1, 2, 3]) + H = cytoscape_graph(cytoscape_data(G)) + assert H.is_directed() + assert nx.is_isomorphic(G, H) + + +def test_multidigraph(): + G = nx.MultiDiGraph() + nx.add_path(G, [1, 2, 3]) + H = cytoscape_graph(cytoscape_data(G)) + assert H.is_directed() + assert H.is_multigraph() + + +def test_multigraph(): + G = nx.MultiGraph() + G.add_edge(1, 2, key="first") + G.add_edge(1, 2, key="second", color="blue") + H = cytoscape_graph(cytoscape_data(G)) + assert nx.is_isomorphic(G, H) + assert H[1][2]["second"]["color"] == "blue" + + +def test_exception(): + with pytest.raises(nx.NetworkXError): + G = nx.MultiDiGraph() + cytoscape_data(G, name="foo", ident="foo") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_node_link.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_node_link.py new file mode 100644 index 0000000000000000000000000000000000000000..f903f6066a6e7be922136275ba8fa6df0da41caa --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_node_link.py @@ -0,0 +1,175 @@ +import json + +import pytest + +import networkx as nx +from networkx.readwrite.json_graph import node_link_data, node_link_graph + + +def test_node_link_edges_default_future_warning(): + "Test FutureWarning is raised when `edges=None` in node_link_data and node_link_graph" + G = nx.Graph([(1, 2)]) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + data = nx.node_link_data(G) # edges=None, the default + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = nx.node_link_graph(data) # edges=None, the default + + +def test_node_link_deprecated_link_param(): + G = nx.Graph([(1, 2)]) + with pytest.warns(DeprecationWarning, match="Keyword argument 'link'"): + data = nx.node_link_data(G, link="links") + with pytest.warns(DeprecationWarning, match="Keyword argument 'link'"): + H = nx.node_link_graph(data, link="links") + + +class TestNodeLink: + # TODO: To be removed when signature change complete + def test_custom_attrs_dep(self): + G = nx.path_graph(4) + G.add_node(1, color="red") + G.add_edge(1, 2, width=7) + G.graph[1] = "one" + G.graph["foo"] = "bar" + + attrs = { + "source": "c_source", + "target": "c_target", + "name": "c_id", + "key": "c_key", + "link": "c_links", + } + + H = node_link_graph(node_link_data(G, **attrs), multigraph=False, **attrs) + assert nx.is_isomorphic(G, H) + assert H.graph["foo"] == "bar" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + + # provide only a partial dictionary of keywords. + # This is similar to an example in the doc string + attrs = { + "link": "c_links", + "source": "c_source", + "target": "c_target", + } + H = node_link_graph(node_link_data(G, **attrs), multigraph=False, **attrs) + assert nx.is_isomorphic(G, H) + assert H.graph["foo"] == "bar" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + + def test_exception_dep(self): + G = nx.MultiDiGraph() + with pytest.raises(nx.NetworkXError): + with pytest.warns(FutureWarning, match="\nThe default value will be"): + node_link_data(G, name="node", source="node", target="node", key="node") + + def test_graph(self): + G = nx.path_graph(4) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(node_link_data(G)) + assert nx.is_isomorphic(G, H) + + def test_graph_attributes(self): + G = nx.path_graph(4) + G.add_node(1, color="red") + G.add_edge(1, 2, width=7) + G.graph[1] = "one" + G.graph["foo"] = "bar" + + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(node_link_data(G)) + assert H.graph["foo"] == "bar" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + + with pytest.warns(FutureWarning, match="\nThe default value will be"): + d = json.dumps(node_link_data(G)) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(json.loads(d)) + assert H.graph["foo"] == "bar" + assert H.graph["1"] == "one" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 + + def test_digraph(self): + G = nx.DiGraph() + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(node_link_data(G)) + assert H.is_directed() + + def test_multigraph(self): + G = nx.MultiGraph() + G.add_edge(1, 2, key="first") + G.add_edge(1, 2, key="second", color="blue") + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(node_link_data(G)) + assert nx.is_isomorphic(G, H) + assert H[1][2]["second"]["color"] == "blue" + + def test_graph_with_tuple_nodes(self): + G = nx.Graph() + G.add_edge((0, 0), (1, 0), color=[255, 255, 0]) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + d = node_link_data(G) + dumped_d = json.dumps(d) + dd = json.loads(dumped_d) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(dd) + assert H.nodes[(0, 0)] == G.nodes[(0, 0)] + assert H[(0, 0)][(1, 0)]["color"] == [255, 255, 0] + + def test_unicode_keys(self): + q = "qualité" + G = nx.Graph() + G.add_node(1, **{q: q}) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + s = node_link_data(G) + output = json.dumps(s, ensure_ascii=False) + data = json.loads(output) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(data) + assert H.nodes[1][q] == q + + def test_exception(self): + G = nx.MultiDiGraph() + attrs = {"name": "node", "source": "node", "target": "node", "key": "node"} + with pytest.raises(nx.NetworkXError): + with pytest.warns(FutureWarning, match="\nThe default value will be"): + node_link_data(G, **attrs) + + def test_string_ids(self): + q = "qualité" + G = nx.DiGraph() + G.add_node("A") + G.add_node(q) + G.add_edge("A", q) + with pytest.warns(FutureWarning, match="\nThe default value will be"): + data = node_link_data(G) + assert data["links"][0]["source"] == "A" + assert data["links"][0]["target"] == q + with pytest.warns(FutureWarning, match="\nThe default value will be"): + H = node_link_graph(data) + assert nx.is_isomorphic(G, H) + + def test_custom_attrs(self): + G = nx.path_graph(4) + G.add_node(1, color="red") + G.add_edge(1, 2, width=7) + G.graph[1] = "one" + G.graph["foo"] = "bar" + + attrs = { + "source": "c_source", + "target": "c_target", + "name": "c_id", + "key": "c_key", + "link": "c_links", + } + + H = node_link_graph(node_link_data(G, **attrs), multigraph=False, **attrs) + assert nx.is_isomorphic(G, H) + assert H.graph["foo"] == "bar" + assert H.nodes[1]["color"] == "red" + assert H[1][2]["width"] == 7 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_tree.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_tree.py new file mode 100644 index 0000000000000000000000000000000000000000..643a14d89b5211f2d97b98f2e227e68361781b97 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tests/test_tree.py @@ -0,0 +1,48 @@ +import json + +import pytest + +import networkx as nx +from networkx.readwrite.json_graph import tree_data, tree_graph + + +def test_graph(): + G = nx.DiGraph() + G.add_nodes_from([1, 2, 3], color="red") + G.add_edge(1, 2, foo=7) + G.add_edge(1, 3, foo=10) + G.add_edge(3, 4, foo=10) + H = tree_graph(tree_data(G, 1)) + assert nx.is_isomorphic(G, H) + + +def test_graph_attributes(): + G = nx.DiGraph() + G.add_nodes_from([1, 2, 3], color="red") + G.add_edge(1, 2, foo=7) + G.add_edge(1, 3, foo=10) + G.add_edge(3, 4, foo=10) + H = tree_graph(tree_data(G, 1)) + assert H.nodes[1]["color"] == "red" + + d = json.dumps(tree_data(G, 1)) + H = tree_graph(json.loads(d)) + assert H.nodes[1]["color"] == "red" + + +def test_exceptions(): + with pytest.raises(TypeError, match="is not a tree."): + G = nx.complete_graph(3) + tree_data(G, 0) + with pytest.raises(TypeError, match="is not directed."): + G = nx.path_graph(3) + tree_data(G, 0) + with pytest.raises(TypeError, match="is not weakly connected."): + G = nx.path_graph(3, create_using=nx.DiGraph) + G.add_edge(2, 0) + G.add_node(3) + tree_data(G, 0) + with pytest.raises(nx.NetworkXError, match="must be different."): + G = nx.MultiDiGraph() + G.add_node(0) + tree_data(G, 0, ident="node", children="node") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tree.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tree.py new file mode 100644 index 0000000000000000000000000000000000000000..22b07b09d277815e824b1dd8c5b82a149ed14e1b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/json_graph/tree.py @@ -0,0 +1,137 @@ +from itertools import chain + +import networkx as nx + +__all__ = ["tree_data", "tree_graph"] + + +def tree_data(G, root, ident="id", children="children"): + """Returns data in tree format that is suitable for JSON serialization + and use in JavaScript documents. + + Parameters + ---------- + G : NetworkX graph + G must be an oriented tree + + root : node + The root of the tree + + ident : string + Attribute name for storing NetworkX-internal graph data. `ident` must + have a different value than `children`. The default is 'id'. + + children : string + Attribute name for storing NetworkX-internal graph data. `children` + must have a different value than `ident`. The default is 'children'. + + Returns + ------- + data : dict + A dictionary with node-link formatted data. + + Raises + ------ + NetworkXError + If `children` and `ident` attributes are identical. + + Examples + -------- + >>> from networkx.readwrite import json_graph + >>> G = nx.DiGraph([(1, 2)]) + >>> data = json_graph.tree_data(G, root=1) + + To serialize with json + + >>> import json + >>> s = json.dumps(data) + + Notes + ----- + Node attributes are stored in this format but keys + for attributes must be strings if you want to serialize with JSON. + + Graph and edge attributes are not stored. + + See Also + -------- + tree_graph, node_link_data, adjacency_data + """ + if G.number_of_nodes() != G.number_of_edges() + 1: + raise TypeError("G is not a tree.") + if not G.is_directed(): + raise TypeError("G is not directed.") + if not nx.is_weakly_connected(G): + raise TypeError("G is not weakly connected.") + + if ident == children: + raise nx.NetworkXError("The values for `id` and `children` must be different.") + + def add_children(n, G): + nbrs = G[n] + if len(nbrs) == 0: + return [] + children_ = [] + for child in nbrs: + d = {**G.nodes[child], ident: child} + c = add_children(child, G) + if c: + d[children] = c + children_.append(d) + return children_ + + return {**G.nodes[root], ident: root, children: add_children(root, G)} + + +@nx._dispatchable(graphs=None, returns_graph=True) +def tree_graph(data, ident="id", children="children"): + """Returns graph from tree data format. + + Parameters + ---------- + data : dict + Tree formatted graph data + + ident : string + Attribute name for storing NetworkX-internal graph data. `ident` must + have a different value than `children`. The default is 'id'. + + children : string + Attribute name for storing NetworkX-internal graph data. `children` + must have a different value than `ident`. The default is 'children'. + + Returns + ------- + G : NetworkX DiGraph + + Examples + -------- + >>> from networkx.readwrite import json_graph + >>> G = nx.DiGraph([(1, 2)]) + >>> data = json_graph.tree_data(G, root=1) + >>> H = json_graph.tree_graph(data) + + See Also + -------- + tree_data, node_link_data, adjacency_data + """ + graph = nx.DiGraph() + + def add_children(parent, children_): + for data in children_: + child = data[ident] + graph.add_edge(parent, child) + grandchildren = data.get(children, []) + if grandchildren: + add_children(child, grandchildren) + nodedata = { + str(k): v for k, v in data.items() if k != ident and k != children + } + graph.add_node(child, **nodedata) + + root = data[ident] + children_ = data.get(children, []) + nodedata = {str(k): v for k, v in data.items() if k != ident and k != children} + graph.add_node(root, **nodedata) + add_children(root, children_) + return graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/leda.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/leda.py new file mode 100644 index 0000000000000000000000000000000000000000..9fb57db140081aa65f1d9f91dbcc3fe29faf7cd5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/leda.py @@ -0,0 +1,108 @@ +""" +Read graphs in LEDA format. + +LEDA is a C++ class library for efficient data types and algorithms. + +Format +------ +See http://www.algorithmic-solutions.info/leda_guide/graphs/leda_native_graph_fileformat.html + +""" +# Original author: D. Eppstein, UC Irvine, August 12, 2003. +# The original code at http://www.ics.uci.edu/~eppstein/PADS/ is public domain. + +__all__ = ["read_leda", "parse_leda"] + +import networkx as nx +from networkx.exception import NetworkXError +from networkx.utils import open_file + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_leda(path, encoding="UTF-8"): + """Read graph in LEDA format from path. + + Parameters + ---------- + path : file or string + File or filename to read. Filenames ending in .gz or .bz2 will be + uncompressed. + + Returns + ------- + G : NetworkX graph + + Examples + -------- + G=nx.read_leda('file.leda') + + References + ---------- + .. [1] http://www.algorithmic-solutions.info/leda_guide/graphs/leda_native_graph_fileformat.html + """ + lines = (line.decode(encoding) for line in path) + G = parse_leda(lines) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_leda(lines): + """Read graph in LEDA format from string or iterable. + + Parameters + ---------- + lines : string or iterable + Data in LEDA format. + + Returns + ------- + G : NetworkX graph + + Examples + -------- + G=nx.parse_leda(string) + + References + ---------- + .. [1] http://www.algorithmic-solutions.info/leda_guide/graphs/leda_native_graph_fileformat.html + """ + if isinstance(lines, str): + lines = iter(lines.split("\n")) + lines = iter( + [ + line.rstrip("\n") + for line in lines + if not (line.startswith(("#", "\n")) or line == "") + ] + ) + for i in range(3): + next(lines) + # Graph + du = int(next(lines)) # -1=directed, -2=undirected + if du == -1: + G = nx.DiGraph() + else: + G = nx.Graph() + + # Nodes + n = int(next(lines)) # number of nodes + node = {} + for i in range(1, n + 1): # LEDA counts from 1 to n + symbol = next(lines).rstrip().strip("|{}| ") + if symbol == "": + symbol = str(i) # use int if no label - could be trouble + node[i] = symbol + + G.add_nodes_from([s for i, s in node.items()]) + + # Edges + m = int(next(lines)) # number of edges + for i in range(m): + try: + s, t, reversal, label = next(lines).split() + except BaseException as err: + raise NetworkXError(f"Too few fields in LEDA.GRAPH edge {i+1}") from err + # BEWARE: no handling of reversal edges + G.add_edge(node[int(s)], node[int(t)], label=label[2:-2]) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/multiline_adjlist.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/multiline_adjlist.py new file mode 100644 index 0000000000000000000000000000000000000000..808445dbfececca748bb62b28f23417c109df335 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/multiline_adjlist.py @@ -0,0 +1,393 @@ +""" +************************* +Multi-line Adjacency List +************************* +Read and write NetworkX graphs as multi-line adjacency lists. + +The multi-line adjacency list format is useful for graphs with +nodes that can be meaningfully represented as strings. With this format +simple edge data can be stored but node or graph data is not. + +Format +------ +The first label in a line is the source node label followed by the node degree +d. The next d lines are target node labels and optional edge data. +That pattern repeats for all nodes in the graph. + +The graph with edges a-b, a-c, d-e can be represented as the following +adjacency list (anything following the # in a line is a comment):: + + # example.multiline-adjlist + a 2 + b + c + d 1 + e +""" + +__all__ = [ + "generate_multiline_adjlist", + "write_multiline_adjlist", + "parse_multiline_adjlist", + "read_multiline_adjlist", +] + +import networkx as nx +from networkx.utils import open_file + + +def generate_multiline_adjlist(G, delimiter=" "): + """Generate a single line of the graph G in multiline adjacency list format. + + Parameters + ---------- + G : NetworkX graph + + delimiter : string, optional + Separator for node labels + + Returns + ------- + lines : string + Lines of data in multiline adjlist format. + + Examples + -------- + >>> G = nx.lollipop_graph(4, 3) + >>> for line in nx.generate_multiline_adjlist(G): + ... print(line) + 0 3 + 1 {} + 2 {} + 3 {} + 1 2 + 2 {} + 3 {} + 2 1 + 3 {} + 3 1 + 4 {} + 4 1 + 5 {} + 5 1 + 6 {} + 6 0 + + See Also + -------- + write_multiline_adjlist, read_multiline_adjlist + """ + if G.is_directed(): + if G.is_multigraph(): + for s, nbrs in G.adjacency(): + nbr_edges = [ + (u, data) + for u, datadict in nbrs.items() + for key, data in datadict.items() + ] + deg = len(nbr_edges) + yield str(s) + delimiter + str(deg) + for u, d in nbr_edges: + if d is None: + yield str(u) + else: + yield str(u) + delimiter + str(d) + else: # directed single edges + for s, nbrs in G.adjacency(): + deg = len(nbrs) + yield str(s) + delimiter + str(deg) + for u, d in nbrs.items(): + if d is None: + yield str(u) + else: + yield str(u) + delimiter + str(d) + else: # undirected + if G.is_multigraph(): + seen = set() # helper dict used to avoid duplicate edges + for s, nbrs in G.adjacency(): + nbr_edges = [ + (u, data) + for u, datadict in nbrs.items() + if u not in seen + for key, data in datadict.items() + ] + deg = len(nbr_edges) + yield str(s) + delimiter + str(deg) + for u, d in nbr_edges: + if d is None: + yield str(u) + else: + yield str(u) + delimiter + str(d) + seen.add(s) + else: # undirected single edges + seen = set() # helper dict used to avoid duplicate edges + for s, nbrs in G.adjacency(): + nbr_edges = [(u, d) for u, d in nbrs.items() if u not in seen] + deg = len(nbr_edges) + yield str(s) + delimiter + str(deg) + for u, d in nbr_edges: + if d is None: + yield str(u) + else: + yield str(u) + delimiter + str(d) + seen.add(s) + + +@open_file(1, mode="wb") +def write_multiline_adjlist(G, path, delimiter=" ", comments="#", encoding="utf-8"): + """Write the graph G in multiline adjacency list format to path + + Parameters + ---------- + G : NetworkX graph + + path : string or file + Filename or file handle to write to. + Filenames ending in .gz or .bz2 will be compressed. + + comments : string, optional + Marker for comment lines + + delimiter : string, optional + Separator for node labels + + encoding : string, optional + Text encoding. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_multiline_adjlist(G, "test.adjlist") + + The path can be a file handle or a string with the name of the file. If a + file handle is provided, it has to be opened in 'wb' mode. + + >>> fh = open("test.adjlist", "wb") + >>> nx.write_multiline_adjlist(G, fh) + + Filenames ending in .gz or .bz2 will be compressed. + + >>> nx.write_multiline_adjlist(G, "test.adjlist.gz") + + See Also + -------- + read_multiline_adjlist + """ + import sys + import time + + pargs = comments + " ".join(sys.argv) + header = ( + f"{pargs}\n" + + comments + + f" GMT {time.asctime(time.gmtime())}\n" + + comments + + f" {G.name}\n" + ) + path.write(header.encode(encoding)) + + for multiline in generate_multiline_adjlist(G, delimiter): + multiline += "\n" + path.write(multiline.encode(encoding)) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_multiline_adjlist( + lines, comments="#", delimiter=None, create_using=None, nodetype=None, edgetype=None +): + """Parse lines of a multiline adjacency list representation of a graph. + + Parameters + ---------- + lines : list or iterator of strings + Input data in multiline adjlist format + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + nodetype : Python type, optional + Convert nodes to this type. + + edgetype : Python type, optional + Convert edges to this type. + + comments : string, optional + Marker for comment lines + + delimiter : string, optional + Separator for node labels. The default is whitespace. + + Returns + ------- + G: NetworkX graph + The graph corresponding to the lines in multiline adjacency list format. + + Examples + -------- + >>> lines = [ + ... "1 2", + ... "2 {'weight':3, 'name': 'Frodo'}", + ... "3 {}", + ... "2 1", + ... "5 {'weight':6, 'name': 'Saruman'}", + ... ] + >>> G = nx.parse_multiline_adjlist(iter(lines), nodetype=int) + >>> list(G) + [1, 2, 3, 5] + + """ + from ast import literal_eval + + G = nx.empty_graph(0, create_using) + for line in lines: + p = line.find(comments) + if p >= 0: + line = line[:p] + if not line: + continue + try: + (u, deg) = line.rstrip("\n").split(delimiter) + deg = int(deg) + except BaseException as err: + raise TypeError(f"Failed to read node and degree on line ({line})") from err + if nodetype is not None: + try: + u = nodetype(u) + except BaseException as err: + raise TypeError( + f"Failed to convert node ({u}) to type {nodetype}" + ) from err + G.add_node(u) + for i in range(deg): + while True: + try: + line = next(lines) + except StopIteration as err: + msg = f"Failed to find neighbor for node ({u})" + raise TypeError(msg) from err + p = line.find(comments) + if p >= 0: + line = line[:p] + if line: + break + vlist = line.rstrip("\n").split(delimiter) + numb = len(vlist) + if numb < 1: + continue # isolated node + v = vlist.pop(0) + data = "".join(vlist) + if nodetype is not None: + try: + v = nodetype(v) + except BaseException as err: + raise TypeError( + f"Failed to convert node ({v}) to type {nodetype}" + ) from err + if edgetype is not None: + try: + edgedata = {"weight": edgetype(data)} + except BaseException as err: + raise TypeError( + f"Failed to convert edge data ({data}) to type {edgetype}" + ) from err + else: + try: # try to evaluate + edgedata = literal_eval(data) + except: + edgedata = {} + G.add_edge(u, v, **edgedata) + + return G + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_multiline_adjlist( + path, + comments="#", + delimiter=None, + create_using=None, + nodetype=None, + edgetype=None, + encoding="utf-8", +): + """Read graph in multi-line adjacency list format from path. + + Parameters + ---------- + path : string or file + Filename or file handle to read. + Filenames ending in .gz or .bz2 will be uncompressed. + + create_using : NetworkX graph constructor, optional (default=nx.Graph) + Graph type to create. If graph instance, then cleared before populated. + + nodetype : Python type, optional + Convert nodes to this type. + + edgetype : Python type, optional + Convert edge data to this type. + + comments : string, optional + Marker for comment lines + + delimiter : string, optional + Separator for node labels. The default is whitespace. + + Returns + ------- + G: NetworkX graph + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_multiline_adjlist(G, "test.adjlist") + >>> G = nx.read_multiline_adjlist("test.adjlist") + + The path can be a file or a string with the name of the file. If a + file s provided, it has to be opened in 'rb' mode. + + >>> fh = open("test.adjlist", "rb") + >>> G = nx.read_multiline_adjlist(fh) + + Filenames ending in .gz or .bz2 will be compressed. + + >>> nx.write_multiline_adjlist(G, "test.adjlist.gz") + >>> G = nx.read_multiline_adjlist("test.adjlist.gz") + + The optional nodetype is a function to convert node strings to nodetype. + + For example + + >>> G = nx.read_multiline_adjlist("test.adjlist", nodetype=int) + + will attempt to convert all nodes to integer type. + + The optional edgetype is a function to convert edge data strings to + edgetype. + + >>> G = nx.read_multiline_adjlist("test.adjlist") + + The optional create_using parameter is a NetworkX graph container. + The default is Graph(), an undirected graph. To read the data as + a directed graph use + + >>> G = nx.read_multiline_adjlist("test.adjlist", create_using=nx.DiGraph) + + Notes + ----- + This format does not store graph, node, or edge data. + + See Also + -------- + write_multiline_adjlist + """ + lines = (line.decode(encoding) for line in path) + return parse_multiline_adjlist( + lines, + comments=comments, + delimiter=delimiter, + create_using=create_using, + nodetype=nodetype, + edgetype=edgetype, + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/p2g.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/p2g.py new file mode 100644 index 0000000000000000000000000000000000000000..804adb23e5296032020e7f90626ca74c9f9398f0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/p2g.py @@ -0,0 +1,105 @@ +""" +This module provides the following: read and write of p2g format +used in metabolic pathway studies. + +See https://web.archive.org/web/20080626113807/http://www.cs.purdue.edu/homes/koyuturk/pathway/ for a description. + +The summary is included here: + +A file that describes a uniquely labeled graph (with extension ".gr") +format looks like the following: + + +name +3 4 +a +1 2 +b + +c +0 2 + +"name" is simply a description of what the graph corresponds to. The +second line displays the number of nodes and number of edges, +respectively. This sample graph contains three nodes labeled "a", "b", +and "c". The rest of the graph contains two lines for each node. The +first line for a node contains the node label. After the declaration +of the node label, the out-edges of that node in the graph are +provided. For instance, "a" is linked to nodes 1 and 2, which are +labeled "b" and "c", while the node labeled "b" has no outgoing +edges. Observe that node labeled "c" has an outgoing edge to +itself. Indeed, self-loops are allowed. Node index starts from 0. + +""" + +import networkx as nx +from networkx.utils import open_file + + +@open_file(1, mode="w") +def write_p2g(G, path, encoding="utf-8"): + """Write NetworkX graph in p2g format. + + Notes + ----- + This format is meant to be used with directed graphs with + possible self loops. + """ + path.write((f"{G.name}\n").encode(encoding)) + path.write((f"{G.order()} {G.size()}\n").encode(encoding)) + nodes = list(G) + # make dictionary mapping nodes to integers + nodenumber = dict(zip(nodes, range(len(nodes)))) + for n in nodes: + path.write((f"{n}\n").encode(encoding)) + for nbr in G.neighbors(n): + path.write((f"{nodenumber[nbr]} ").encode(encoding)) + path.write("\n".encode(encoding)) + + +@open_file(0, mode="r") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_p2g(path, encoding="utf-8"): + """Read graph in p2g format from path. + + Returns + ------- + MultiDiGraph + + Notes + ----- + If you want a DiGraph (with no self loops allowed and no edge data) + use D=nx.DiGraph(read_p2g(path)) + """ + lines = (line.decode(encoding) for line in path) + G = parse_p2g(lines) + return G + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_p2g(lines): + """Parse p2g format graph from string or iterable. + + Returns + ------- + MultiDiGraph + """ + description = next(lines).strip() + # are multiedges (parallel edges) allowed? + G = nx.MultiDiGraph(name=description, selfloops=True) + nnodes, nedges = map(int, next(lines).split()) + nodelabel = {} + nbrs = {} + # loop over the nodes keeping track of node labels and out neighbors + # defer adding edges until all node labels are known + for i in range(nnodes): + n = next(lines).strip() + nodelabel[i] = n + G.add_node(n) + nbrs[n] = map(int, next(lines).split()) + # now we know all of the node labels so we can add the edges + # with the correct labels + for n in G: + for nbr in nbrs[n]: + G.add_edge(n, nodelabel[nbr]) + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/pajek.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/pajek.py new file mode 100644 index 0000000000000000000000000000000000000000..f148f16208de0d42fbcd52d24affeac98152e1f3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/pajek.py @@ -0,0 +1,286 @@ +""" +***** +Pajek +***** +Read graphs in Pajek format. + +This implementation handles directed and undirected graphs including +those with self loops and parallel edges. + +Format +------ +See http://vlado.fmf.uni-lj.si/pub/networks/pajek/doc/draweps.htm +for format information. + +""" + +import warnings + +import networkx as nx +from networkx.utils import open_file + +__all__ = ["read_pajek", "parse_pajek", "generate_pajek", "write_pajek"] + + +def generate_pajek(G): + """Generate lines in Pajek graph format. + + Parameters + ---------- + G : graph + A Networkx graph + + References + ---------- + See http://vlado.fmf.uni-lj.si/pub/networks/pajek/doc/draweps.htm + for format information. + """ + if G.name == "": + name = "NetworkX" + else: + name = G.name + # Apparently many Pajek format readers can't process this line + # So we'll leave it out for now. + # yield '*network %s'%name + + # write nodes with attributes + yield f"*vertices {G.order()}" + nodes = list(G) + # make dictionary mapping nodes to integers + nodenumber = dict(zip(nodes, range(1, len(nodes) + 1))) + for n in nodes: + # copy node attributes and pop mandatory attributes + # to avoid duplication. + na = G.nodes.get(n, {}).copy() + x = na.pop("x", 0.0) + y = na.pop("y", 0.0) + try: + id = int(na.pop("id", nodenumber[n])) + except ValueError as err: + err.args += ( + ( + "Pajek format requires 'id' to be an int()." + " Refer to the 'Relabeling nodes' section." + ), + ) + raise + nodenumber[n] = id + shape = na.pop("shape", "ellipse") + s = " ".join(map(make_qstr, (id, n, x, y, shape))) + # only optional attributes are left in na. + for k, v in na.items(): + if isinstance(v, str) and v.strip() != "": + s += f" {make_qstr(k)} {make_qstr(v)}" + else: + warnings.warn( + f"Node attribute {k} is not processed. {('Empty attribute' if isinstance(v, str) else 'Non-string attribute')}." + ) + yield s + + # write edges with attributes + if G.is_directed(): + yield "*arcs" + else: + yield "*edges" + for u, v, edgedata in G.edges(data=True): + d = edgedata.copy() + value = d.pop("weight", 1.0) # use 1 as default edge value + s = " ".join(map(make_qstr, (nodenumber[u], nodenumber[v], value))) + for k, v in d.items(): + if isinstance(v, str) and v.strip() != "": + s += f" {make_qstr(k)} {make_qstr(v)}" + else: + warnings.warn( + f"Edge attribute {k} is not processed. {('Empty attribute' if isinstance(v, str) else 'Non-string attribute')}." + ) + yield s + + +@open_file(1, mode="wb") +def write_pajek(G, path, encoding="UTF-8"): + """Write graph in Pajek format to path. + + Parameters + ---------- + G : graph + A Networkx graph + path : file or string + File or filename to write. + Filenames ending in .gz or .bz2 will be compressed. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_pajek(G, "test.net") + + Warnings + -------- + Optional node attributes and edge attributes must be non-empty strings. + Otherwise it will not be written into the file. You will need to + convert those attributes to strings if you want to keep them. + + References + ---------- + See http://vlado.fmf.uni-lj.si/pub/networks/pajek/doc/draweps.htm + for format information. + """ + for line in generate_pajek(G): + line += "\n" + path.write(line.encode(encoding)) + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_pajek(path, encoding="UTF-8"): + """Read graph in Pajek format from path. + + Parameters + ---------- + path : file or string + File or filename to write. + Filenames ending in .gz or .bz2 will be uncompressed. + + Returns + ------- + G : NetworkX MultiGraph or MultiDiGraph. + + Examples + -------- + >>> G = nx.path_graph(4) + >>> nx.write_pajek(G, "test.net") + >>> G = nx.read_pajek("test.net") + + To create a Graph instead of a MultiGraph use + + >>> G1 = nx.Graph(G) + + References + ---------- + See http://vlado.fmf.uni-lj.si/pub/networks/pajek/doc/draweps.htm + for format information. + """ + lines = (line.decode(encoding) for line in path) + return parse_pajek(lines) + + +@nx._dispatchable(graphs=None, returns_graph=True) +def parse_pajek(lines): + """Parse Pajek format graph from string or iterable. + + Parameters + ---------- + lines : string or iterable + Data in Pajek format. + + Returns + ------- + G : NetworkX graph + + See Also + -------- + read_pajek + + """ + import shlex + + # multigraph=False + if isinstance(lines, str): + lines = iter(lines.split("\n")) + lines = iter([line.rstrip("\n") for line in lines]) + G = nx.MultiDiGraph() # are multiedges allowed in Pajek? assume yes + labels = [] # in the order of the file, needed for matrix + while lines: + try: + l = next(lines) + except: # EOF + break + if l.lower().startswith("*network"): + try: + label, name = l.split(None, 1) + except ValueError: + # Line was not of the form: *network NAME + pass + else: + G.graph["name"] = name + elif l.lower().startswith("*vertices"): + nodelabels = {} + l, nnodes = l.split() + for i in range(int(nnodes)): + l = next(lines) + try: + splitline = [ + x.decode("utf-8") for x in shlex.split(str(l).encode("utf-8")) + ] + except AttributeError: + splitline = shlex.split(str(l)) + id, label = splitline[0:2] + labels.append(label) + G.add_node(label) + nodelabels[id] = label + G.nodes[label]["id"] = id + try: + x, y, shape = splitline[2:5] + G.nodes[label].update( + {"x": float(x), "y": float(y), "shape": shape} + ) + except: + pass + extra_attr = zip(splitline[5::2], splitline[6::2]) + G.nodes[label].update(extra_attr) + elif l.lower().startswith("*edges") or l.lower().startswith("*arcs"): + if l.lower().startswith("*edge"): + # switch from multidigraph to multigraph + G = nx.MultiGraph(G) + if l.lower().startswith("*arcs"): + # switch to directed with multiple arcs for each existing edge + G = G.to_directed() + for l in lines: + try: + splitline = [ + x.decode("utf-8") for x in shlex.split(str(l).encode("utf-8")) + ] + except AttributeError: + splitline = shlex.split(str(l)) + + if len(splitline) < 2: + continue + ui, vi = splitline[0:2] + u = nodelabels.get(ui, ui) + v = nodelabels.get(vi, vi) + # parse the data attached to this edge and put in a dictionary + edge_data = {} + try: + # there should always be a single value on the edge? + w = splitline[2:3] + edge_data.update({"weight": float(w[0])}) + except: + pass + # if there isn't, just assign a 1 + # edge_data.update({'value':1}) + extra_attr = zip(splitline[3::2], splitline[4::2]) + edge_data.update(extra_attr) + # if G.has_edge(u,v): + # multigraph=True + G.add_edge(u, v, **edge_data) + elif l.lower().startswith("*matrix"): + G = nx.DiGraph(G) + adj_list = ( + (labels[row], labels[col], {"weight": int(data)}) + for (row, line) in enumerate(lines) + for (col, data) in enumerate(line.split()) + if int(data) != 0 + ) + G.add_edges_from(adj_list) + + return G + + +def make_qstr(t): + """Returns the string representation of t. + Add outer double-quotes if the string has a space. + """ + if not isinstance(t, str): + t = str(t) + if " " in t: + t = f'"{t}"' + return t diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/sparse6.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/sparse6.py new file mode 100644 index 0000000000000000000000000000000000000000..74d16dbc27f168c52a58d357d7a5215499774767 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/sparse6.py @@ -0,0 +1,377 @@ +# Original author: D. Eppstein, UC Irvine, August 12, 2003. +# The original code at https://www.ics.uci.edu/~eppstein/PADS/ is public domain. +"""Functions for reading and writing graphs in the *sparse6* format. + +The *sparse6* file format is a space-efficient format for large sparse +graphs. For small graphs or large dense graphs, use the *graph6* file +format. + +For more information, see the `sparse6`_ homepage. + +.. _sparse6: https://users.cecs.anu.edu.au/~bdm/data/formats.html + +""" + +import networkx as nx +from networkx.exception import NetworkXError +from networkx.readwrite.graph6 import data_to_n, n_to_data +from networkx.utils import not_implemented_for, open_file + +__all__ = ["from_sparse6_bytes", "read_sparse6", "to_sparse6_bytes", "write_sparse6"] + + +def _generate_sparse6_bytes(G, nodes, header): + """Yield bytes in the sparse6 encoding of a graph. + + `G` is an undirected simple graph. `nodes` is the list of nodes for + which the node-induced subgraph will be encoded; if `nodes` is the + list of all nodes in the graph, the entire graph will be + encoded. `header` is a Boolean that specifies whether to generate + the header ``b'>>sparse6<<'`` before the remaining data. + + This function generates `bytes` objects in the following order: + + 1. the header (if requested), + 2. the encoding of the number of nodes, + 3. each character, one-at-a-time, in the encoding of the requested + node-induced subgraph, + 4. a newline character. + + This function raises :exc:`ValueError` if the graph is too large for + the graph6 format (that is, greater than ``2 ** 36`` nodes). + + """ + n = len(G) + if n >= 2**36: + raise ValueError( + "sparse6 is only defined if number of nodes is less than 2 ** 36" + ) + if header: + yield b">>sparse6<<" + yield b":" + for d in n_to_data(n): + yield str.encode(chr(d + 63)) + + k = 1 + while 1 << k < n: + k += 1 + + def enc(x): + """Big endian k-bit encoding of x""" + return [1 if (x & 1 << (k - 1 - i)) else 0 for i in range(k)] + + edges = sorted((max(u, v), min(u, v)) for u, v in G.edges()) + bits = [] + curv = 0 + for v, u in edges: + if v == curv: # current vertex edge + bits.append(0) + bits.extend(enc(u)) + elif v == curv + 1: # next vertex edge + curv += 1 + bits.append(1) + bits.extend(enc(u)) + else: # skip to vertex v and then add edge to u + curv = v + bits.append(1) + bits.extend(enc(v)) + bits.append(0) + bits.extend(enc(u)) + if k < 6 and n == (1 << k) and ((-len(bits)) % 6) >= k and curv < (n - 1): + # Padding special case: small k, n=2^k, + # more than k bits of padding needed, + # current vertex is not (n-1) -- + # appending 1111... would add a loop on (n-1) + bits.append(0) + bits.extend([1] * ((-len(bits)) % 6)) + else: + bits.extend([1] * ((-len(bits)) % 6)) + + data = [ + (bits[i + 0] << 5) + + (bits[i + 1] << 4) + + (bits[i + 2] << 3) + + (bits[i + 3] << 2) + + (bits[i + 4] << 1) + + (bits[i + 5] << 0) + for i in range(0, len(bits), 6) + ] + + for d in data: + yield str.encode(chr(d + 63)) + yield b"\n" + + +@nx._dispatchable(graphs=None, returns_graph=True) +def from_sparse6_bytes(string): + """Read an undirected graph in sparse6 format from string. + + Parameters + ---------- + string : string + Data in sparse6 format + + Returns + ------- + G : Graph + + Raises + ------ + NetworkXError + If the string is unable to be parsed in sparse6 format + + Examples + -------- + >>> G = nx.from_sparse6_bytes(b":A_") + >>> sorted(G.edges()) + [(0, 1), (0, 1), (0, 1)] + + See Also + -------- + read_sparse6, write_sparse6 + + References + ---------- + .. [1] Sparse6 specification + + + """ + if string.startswith(b">>sparse6<<"): + string = string[11:] + if not string.startswith(b":"): + raise NetworkXError("Expected leading colon in sparse6") + + chars = [c - 63 for c in string[1:]] + n, data = data_to_n(chars) + k = 1 + while 1 << k < n: + k += 1 + + def parseData(): + """Returns stream of pairs b[i], x[i] for sparse6 format.""" + chunks = iter(data) + d = None # partial data word + dLen = 0 # how many unparsed bits are left in d + + while 1: + if dLen < 1: + try: + d = next(chunks) + except StopIteration: + return + dLen = 6 + dLen -= 1 + b = (d >> dLen) & 1 # grab top remaining bit + + x = d & ((1 << dLen) - 1) # partially built up value of x + xLen = dLen # how many bits included so far in x + while xLen < k: # now grab full chunks until we have enough + try: + d = next(chunks) + except StopIteration: + return + dLen = 6 + x = (x << 6) + d + xLen += 6 + x = x >> (xLen - k) # shift back the extra bits + dLen = xLen - k + yield b, x + + v = 0 + + G = nx.MultiGraph() + G.add_nodes_from(range(n)) + + multigraph = False + for b, x in parseData(): + if b == 1: + v += 1 + # padding with ones can cause overlarge number here + if x >= n or v >= n: + break + elif x > v: + v = x + else: + if G.has_edge(x, v): + multigraph = True + G.add_edge(x, v) + if not multigraph: + G = nx.Graph(G) + return G + + +def to_sparse6_bytes(G, nodes=None, header=True): + """Convert an undirected graph to bytes in sparse6 format. + + Parameters + ---------- + G : Graph (undirected) + + nodes: list or iterable + Nodes are labeled 0...n-1 in the order provided. If None the ordering + given by ``G.nodes()`` is used. + + header: bool + If True add '>>sparse6<<' bytes to head of data. + + Raises + ------ + NetworkXNotImplemented + If the graph is directed. + + ValueError + If the graph has at least ``2 ** 36`` nodes; the sparse6 format + is only defined for graphs of order less than ``2 ** 36``. + + Examples + -------- + >>> nx.to_sparse6_bytes(nx.path_graph(2)) + b'>>sparse6<<:An\\n' + + See Also + -------- + to_sparse6_bytes, read_sparse6, write_sparse6_bytes + + Notes + ----- + The returned bytes end with a newline character. + + The format does not support edge or node labels. + + References + ---------- + .. [1] Graph6 specification + + + """ + if nodes is not None: + G = G.subgraph(nodes) + G = nx.convert_node_labels_to_integers(G, ordering="sorted") + return b"".join(_generate_sparse6_bytes(G, nodes, header)) + + +@open_file(0, mode="rb") +@nx._dispatchable(graphs=None, returns_graph=True) +def read_sparse6(path): + """Read an undirected graph in sparse6 format from path. + + Parameters + ---------- + path : file or string + File or filename to write. + + Returns + ------- + G : Graph/Multigraph or list of Graphs/MultiGraphs + If the file contains multiple lines then a list of graphs is returned + + Raises + ------ + NetworkXError + If the string is unable to be parsed in sparse6 format + + Examples + -------- + You can read a sparse6 file by giving the path to the file:: + + >>> import tempfile + >>> with tempfile.NamedTemporaryFile(delete=False) as f: + ... _ = f.write(b">>sparse6<<:An\\n") + ... _ = f.seek(0) + ... G = nx.read_sparse6(f.name) + >>> list(G.edges()) + [(0, 1)] + + You can also read a sparse6 file by giving an open file-like object:: + + >>> import tempfile + >>> with tempfile.NamedTemporaryFile() as f: + ... _ = f.write(b">>sparse6<<:An\\n") + ... _ = f.seek(0) + ... G = nx.read_sparse6(f) + >>> list(G.edges()) + [(0, 1)] + + See Also + -------- + read_sparse6, from_sparse6_bytes + + References + ---------- + .. [1] Sparse6 specification + + + """ + glist = [] + for line in path: + line = line.strip() + if not len(line): + continue + glist.append(from_sparse6_bytes(line)) + if len(glist) == 1: + return glist[0] + else: + return glist + + +@not_implemented_for("directed") +@open_file(1, mode="wb") +def write_sparse6(G, path, nodes=None, header=True): + """Write graph G to given path in sparse6 format. + + Parameters + ---------- + G : Graph (undirected) + + path : file or string + File or filename to write + + nodes: list or iterable + Nodes are labeled 0...n-1 in the order provided. If None the ordering + given by G.nodes() is used. + + header: bool + If True add '>>sparse6<<' string to head of data + + Raises + ------ + NetworkXError + If the graph is directed + + Examples + -------- + You can write a sparse6 file by giving the path to the file:: + + >>> import tempfile + >>> with tempfile.NamedTemporaryFile(delete=False) as f: + ... nx.write_sparse6(nx.path_graph(2), f.name) + ... print(f.read()) + b'>>sparse6<<:An\\n' + + You can also write a sparse6 file by giving an open file-like object:: + + >>> with tempfile.NamedTemporaryFile() as f: + ... nx.write_sparse6(nx.path_graph(2), f) + ... _ = f.seek(0) + ... print(f.read()) + b'>>sparse6<<:An\\n' + + See Also + -------- + read_sparse6, from_sparse6_bytes + + Notes + ----- + The format does not support edge or node labels. + + References + ---------- + .. [1] Sparse6 specification + + + """ + if nodes is not None: + G = G.subgraph(nodes) + G = nx.convert_node_labels_to_integers(G, ordering="sorted") + for b in _generate_sparse6_bytes(G, nodes, header): + path.write(b) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_adjlist.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_adjlist.py new file mode 100644 index 0000000000000000000000000000000000000000..f2218eba1246ae6234d6ca3ca0fdc52fa2f7a319 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_adjlist.py @@ -0,0 +1,262 @@ +""" +Unit tests for adjlist. +""" + +import io + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, graphs_equal, nodes_equal + + +class TestAdjlist: + @classmethod + def setup_class(cls): + cls.G = nx.Graph(name="test") + e = [("a", "b"), ("b", "c"), ("c", "d"), ("d", "e"), ("e", "f"), ("a", "f")] + cls.G.add_edges_from(e) + cls.G.add_node("g") + cls.DG = nx.DiGraph(cls.G) + cls.XG = nx.MultiGraph() + cls.XG.add_weighted_edges_from([(1, 2, 5), (1, 2, 5), (1, 2, 1), (3, 3, 42)]) + cls.XDG = nx.MultiDiGraph(cls.XG) + + def test_read_multiline_adjlist_1(self): + # Unit test for https://networkx.lanl.gov/trac/ticket/252 + s = b"""# comment line +1 2 +# comment line +2 +3 +""" + bytesIO = io.BytesIO(s) + G = nx.read_multiline_adjlist(bytesIO) + adj = {"1": {"3": {}, "2": {}}, "3": {"1": {}}, "2": {"1": {}}} + assert graphs_equal(G, nx.Graph(adj)) + + def test_unicode(self, tmp_path): + G = nx.Graph() + name1 = chr(2344) + chr(123) + chr(6543) + name2 = chr(5543) + chr(1543) + chr(324) + G.add_edge(name1, "Radiohead", **{name2: 3}) + + fname = tmp_path / "adjlist.txt" + nx.write_multiline_adjlist(G, fname) + H = nx.read_multiline_adjlist(fname) + assert graphs_equal(G, H) + + def test_latin1_err(self, tmp_path): + G = nx.Graph() + name1 = chr(2344) + chr(123) + chr(6543) + name2 = chr(5543) + chr(1543) + chr(324) + G.add_edge(name1, "Radiohead", **{name2: 3}) + fname = tmp_path / "adjlist.txt" + with pytest.raises(UnicodeEncodeError): + nx.write_multiline_adjlist(G, fname, encoding="latin-1") + + def test_latin1(self, tmp_path): + G = nx.Graph() + name1 = "Bj" + chr(246) + "rk" + name2 = chr(220) + "ber" + G.add_edge(name1, "Radiohead", **{name2: 3}) + fname = tmp_path / "adjlist.txt" + nx.write_multiline_adjlist(G, fname, encoding="latin-1") + H = nx.read_multiline_adjlist(fname, encoding="latin-1") + assert graphs_equal(G, H) + + def test_parse_adjlist(self): + lines = ["1 2 5", "2 3 4", "3 5", "4", "5"] + nx.parse_adjlist(lines, nodetype=int) # smoke test + with pytest.raises(TypeError): + nx.parse_adjlist(lines, nodetype="int") + lines = ["1 2 5", "2 b", "c"] + with pytest.raises(TypeError): + nx.parse_adjlist(lines, nodetype=int) + + def test_adjlist_graph(self, tmp_path): + G = self.G + fname = tmp_path / "adjlist.txt" + nx.write_adjlist(G, fname) + H = nx.read_adjlist(fname) + H2 = nx.read_adjlist(fname) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_adjlist_digraph(self, tmp_path): + G = self.DG + fname = tmp_path / "adjlist.txt" + nx.write_adjlist(G, fname) + H = nx.read_adjlist(fname, create_using=nx.DiGraph()) + H2 = nx.read_adjlist(fname, create_using=nx.DiGraph()) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_adjlist_integers(self, tmp_path): + fname = tmp_path / "adjlist.txt" + G = nx.convert_node_labels_to_integers(self.G) + nx.write_adjlist(G, fname) + H = nx.read_adjlist(fname, nodetype=int) + H2 = nx.read_adjlist(fname, nodetype=int) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_adjlist_multigraph(self, tmp_path): + G = self.XG + fname = tmp_path / "adjlist.txt" + nx.write_adjlist(G, fname) + H = nx.read_adjlist(fname, nodetype=int, create_using=nx.MultiGraph()) + H2 = nx.read_adjlist(fname, nodetype=int, create_using=nx.MultiGraph()) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_adjlist_multidigraph(self, tmp_path): + G = self.XDG + fname = tmp_path / "adjlist.txt" + nx.write_adjlist(G, fname) + H = nx.read_adjlist(fname, nodetype=int, create_using=nx.MultiDiGraph()) + H2 = nx.read_adjlist(fname, nodetype=int, create_using=nx.MultiDiGraph()) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_adjlist_delimiter(self): + fh = io.BytesIO() + G = nx.path_graph(3) + nx.write_adjlist(G, fh, delimiter=":") + fh.seek(0) + H = nx.read_adjlist(fh, nodetype=int, delimiter=":") + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + +class TestMultilineAdjlist: + @classmethod + def setup_class(cls): + cls.G = nx.Graph(name="test") + e = [("a", "b"), ("b", "c"), ("c", "d"), ("d", "e"), ("e", "f"), ("a", "f")] + cls.G.add_edges_from(e) + cls.G.add_node("g") + cls.DG = nx.DiGraph(cls.G) + cls.DG.remove_edge("b", "a") + cls.DG.remove_edge("b", "c") + cls.XG = nx.MultiGraph() + cls.XG.add_weighted_edges_from([(1, 2, 5), (1, 2, 5), (1, 2, 1), (3, 3, 42)]) + cls.XDG = nx.MultiDiGraph(cls.XG) + + def test_parse_multiline_adjlist(self): + lines = [ + "1 2", + "b {'weight':3, 'name': 'Frodo'}", + "c {}", + "d 1", + "e {'weight':6, 'name': 'Saruman'}", + ] + nx.parse_multiline_adjlist(iter(lines)) # smoke test + with pytest.raises(TypeError): + nx.parse_multiline_adjlist(iter(lines), nodetype=int) + nx.parse_multiline_adjlist(iter(lines), edgetype=str) # smoke test + with pytest.raises(TypeError): + nx.parse_multiline_adjlist(iter(lines), nodetype=int) + lines = ["1 a"] + with pytest.raises(TypeError): + nx.parse_multiline_adjlist(iter(lines)) + lines = ["a 2"] + with pytest.raises(TypeError): + nx.parse_multiline_adjlist(iter(lines), nodetype=int) + lines = ["1 2"] + with pytest.raises(TypeError): + nx.parse_multiline_adjlist(iter(lines)) + lines = ["1 2", "2 {}"] + with pytest.raises(TypeError): + nx.parse_multiline_adjlist(iter(lines)) + + def test_multiline_adjlist_graph(self, tmp_path): + G = self.G + fname = tmp_path / "adjlist.txt" + nx.write_multiline_adjlist(G, fname) + H = nx.read_multiline_adjlist(fname) + H2 = nx.read_multiline_adjlist(fname) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_multiline_adjlist_digraph(self, tmp_path): + G = self.DG + fname = tmp_path / "adjlist.txt" + nx.write_multiline_adjlist(G, fname) + H = nx.read_multiline_adjlist(fname, create_using=nx.DiGraph()) + H2 = nx.read_multiline_adjlist(fname, create_using=nx.DiGraph()) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_multiline_adjlist_integers(self, tmp_path): + fname = tmp_path / "adjlist.txt" + G = nx.convert_node_labels_to_integers(self.G) + nx.write_multiline_adjlist(G, fname) + H = nx.read_multiline_adjlist(fname, nodetype=int) + H2 = nx.read_multiline_adjlist(fname, nodetype=int) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_multiline_adjlist_multigraph(self, tmp_path): + G = self.XG + fname = tmp_path / "adjlist.txt" + nx.write_multiline_adjlist(G, fname) + H = nx.read_multiline_adjlist(fname, nodetype=int, create_using=nx.MultiGraph()) + H2 = nx.read_multiline_adjlist( + fname, nodetype=int, create_using=nx.MultiGraph() + ) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_multiline_adjlist_multidigraph(self, tmp_path): + G = self.XDG + fname = tmp_path / "adjlist.txt" + nx.write_multiline_adjlist(G, fname) + H = nx.read_multiline_adjlist( + fname, nodetype=int, create_using=nx.MultiDiGraph() + ) + H2 = nx.read_multiline_adjlist( + fname, nodetype=int, create_using=nx.MultiDiGraph() + ) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_multiline_adjlist_delimiter(self): + fh = io.BytesIO() + G = nx.path_graph(3) + nx.write_multiline_adjlist(G, fh, delimiter=":") + fh.seek(0) + H = nx.read_multiline_adjlist(fh, nodetype=int, delimiter=":") + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + +@pytest.mark.parametrize( + ("lines", "delim"), + ( + (["1 2 5", "2 3 4", "3 5", "4", "5"], None), # No extra whitespace + (["1\t2\t5", "2\t3\t4", "3\t5", "4", "5"], "\t"), # tab-delimited + ( + ["1\t2\t5", "2\t3\t4", "3\t5\t", "4\t", "5"], + "\t", + ), # tab-delimited, extra delims + ( + ["1\t2\t5", "2\t3\t4", "3\t5\t\t\n", "4\t", "5"], + "\t", + ), # extra delim+newlines + ), +) +def test_adjlist_rstrip_parsing(lines, delim): + """Regression test related to gh-7465""" + expected = nx.Graph([(1, 2), (1, 5), (2, 3), (2, 4), (3, 5)]) + nx.utils.graphs_equal(nx.parse_adjlist(lines, delimiter=delim), expected) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_edgelist.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_edgelist.py new file mode 100644 index 0000000000000000000000000000000000000000..fe58b3b7dd193d87be04304f46ea21be34e40bfb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_edgelist.py @@ -0,0 +1,314 @@ +""" +Unit tests for edgelists. +""" + +import io +import textwrap + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, graphs_equal, nodes_equal + +edges_no_data = textwrap.dedent( + """ + # comment line + 1 2 + # comment line + 2 3 + """ +) + + +edges_with_values = textwrap.dedent( + """ + # comment line + 1 2 2.0 + # comment line + 2 3 3.0 + """ +) + + +edges_with_weight = textwrap.dedent( + """ + # comment line + 1 2 {'weight':2.0} + # comment line + 2 3 {'weight':3.0} + """ +) + + +edges_with_multiple_attrs = textwrap.dedent( + """ + # comment line + 1 2 {'weight':2.0, 'color':'green'} + # comment line + 2 3 {'weight':3.0, 'color':'red'} + """ +) + + +edges_with_multiple_attrs_csv = textwrap.dedent( + """ + # comment line + 1, 2, {'weight':2.0, 'color':'green'} + # comment line + 2, 3, {'weight':3.0, 'color':'red'} + """ +) + + +_expected_edges_weights = [(1, 2, {"weight": 2.0}), (2, 3, {"weight": 3.0})] +_expected_edges_multiattr = [ + (1, 2, {"weight": 2.0, "color": "green"}), + (2, 3, {"weight": 3.0, "color": "red"}), +] + + +@pytest.mark.parametrize( + ("data", "extra_kwargs"), + ( + (edges_no_data, {}), + (edges_with_values, {}), + (edges_with_weight, {}), + (edges_with_multiple_attrs, {}), + (edges_with_multiple_attrs_csv, {"delimiter": ","}), + ), +) +def test_read_edgelist_no_data(data, extra_kwargs): + bytesIO = io.BytesIO(data.encode("utf-8")) + G = nx.read_edgelist(bytesIO, nodetype=int, data=False, **extra_kwargs) + assert edges_equal(G.edges(), [(1, 2), (2, 3)]) + + +def test_read_weighted_edgelist(): + bytesIO = io.BytesIO(edges_with_values.encode("utf-8")) + G = nx.read_weighted_edgelist(bytesIO, nodetype=int) + assert edges_equal(G.edges(data=True), _expected_edges_weights) + + +@pytest.mark.parametrize( + ("data", "extra_kwargs", "expected"), + ( + (edges_with_weight, {}, _expected_edges_weights), + (edges_with_multiple_attrs, {}, _expected_edges_multiattr), + (edges_with_multiple_attrs_csv, {"delimiter": ","}, _expected_edges_multiattr), + ), +) +def test_read_edgelist_with_data(data, extra_kwargs, expected): + bytesIO = io.BytesIO(data.encode("utf-8")) + G = nx.read_edgelist(bytesIO, nodetype=int, **extra_kwargs) + assert edges_equal(G.edges(data=True), expected) + + +@pytest.fixture +def example_graph(): + G = nx.Graph() + G.add_weighted_edges_from([(1, 2, 3.0), (2, 3, 27.0), (3, 4, 3.0)]) + return G + + +def test_parse_edgelist_no_data(example_graph): + G = example_graph + H = nx.parse_edgelist(["1 2", "2 3", "3 4"], nodetype=int) + assert nodes_equal(G.nodes, H.nodes) + assert edges_equal(G.edges, H.edges) + + +def test_parse_edgelist_with_data_dict(example_graph): + G = example_graph + H = nx.parse_edgelist( + ["1 2 {'weight': 3}", "2 3 {'weight': 27}", "3 4 {'weight': 3.0}"], nodetype=int + ) + assert nodes_equal(G.nodes, H.nodes) + assert edges_equal(G.edges(data=True), H.edges(data=True)) + + +def test_parse_edgelist_with_data_list(example_graph): + G = example_graph + H = nx.parse_edgelist( + ["1 2 3", "2 3 27", "3 4 3.0"], nodetype=int, data=(("weight", float),) + ) + assert nodes_equal(G.nodes, H.nodes) + assert edges_equal(G.edges(data=True), H.edges(data=True)) + + +def test_parse_edgelist(): + # ignore lines with less than 2 nodes + lines = ["1;2", "2 3", "3 4"] + G = nx.parse_edgelist(lines, nodetype=int) + assert list(G.edges()) == [(2, 3), (3, 4)] + # unknown nodetype + with pytest.raises(TypeError, match="Failed to convert nodes"): + lines = ["1 2", "2 3", "3 4"] + nx.parse_edgelist(lines, nodetype="nope") + # lines have invalid edge format + with pytest.raises(TypeError, match="Failed to convert edge data"): + lines = ["1 2 3", "2 3", "3 4"] + nx.parse_edgelist(lines, nodetype=int) + # edge data and data_keys not the same length + with pytest.raises(IndexError, match="not the same length"): + lines = ["1 2 3", "2 3 27", "3 4 3.0"] + nx.parse_edgelist( + lines, nodetype=int, data=(("weight", float), ("capacity", int)) + ) + # edge data can't be converted to edge type + with pytest.raises(TypeError, match="Failed to convert"): + lines = ["1 2 't1'", "2 3 't3'", "3 4 't3'"] + nx.parse_edgelist(lines, nodetype=int, data=(("weight", float),)) + + +def test_comments_None(): + edgelist = ["node#1 node#2", "node#2 node#3"] + # comments=None supported to ignore all comment characters + G = nx.parse_edgelist(edgelist, comments=None) + H = nx.Graph([e.split(" ") for e in edgelist]) + assert edges_equal(G.edges, H.edges) + + +class TestEdgelist: + @classmethod + def setup_class(cls): + cls.G = nx.Graph(name="test") + e = [("a", "b"), ("b", "c"), ("c", "d"), ("d", "e"), ("e", "f"), ("a", "f")] + cls.G.add_edges_from(e) + cls.G.add_node("g") + cls.DG = nx.DiGraph(cls.G) + cls.XG = nx.MultiGraph() + cls.XG.add_weighted_edges_from([(1, 2, 5), (1, 2, 5), (1, 2, 1), (3, 3, 42)]) + cls.XDG = nx.MultiDiGraph(cls.XG) + + def test_write_edgelist_1(self): + fh = io.BytesIO() + G = nx.Graph() + G.add_edges_from([(1, 2), (2, 3)]) + nx.write_edgelist(G, fh, data=False) + fh.seek(0) + assert fh.read() == b"1 2\n2 3\n" + + def test_write_edgelist_2(self): + fh = io.BytesIO() + G = nx.Graph() + G.add_edges_from([(1, 2), (2, 3)]) + nx.write_edgelist(G, fh, data=True) + fh.seek(0) + assert fh.read() == b"1 2 {}\n2 3 {}\n" + + def test_write_edgelist_3(self): + fh = io.BytesIO() + G = nx.Graph() + G.add_edge(1, 2, weight=2.0) + G.add_edge(2, 3, weight=3.0) + nx.write_edgelist(G, fh, data=True) + fh.seek(0) + assert fh.read() == b"1 2 {'weight': 2.0}\n2 3 {'weight': 3.0}\n" + + def test_write_edgelist_4(self): + fh = io.BytesIO() + G = nx.Graph() + G.add_edge(1, 2, weight=2.0) + G.add_edge(2, 3, weight=3.0) + nx.write_edgelist(G, fh, data=[("weight")]) + fh.seek(0) + assert fh.read() == b"1 2 2.0\n2 3 3.0\n" + + def test_unicode(self, tmp_path): + G = nx.Graph() + name1 = chr(2344) + chr(123) + chr(6543) + name2 = chr(5543) + chr(1543) + chr(324) + G.add_edge(name1, "Radiohead", **{name2: 3}) + fname = tmp_path / "el.txt" + nx.write_edgelist(G, fname) + H = nx.read_edgelist(fname) + assert graphs_equal(G, H) + + def test_latin1_issue(self, tmp_path): + G = nx.Graph() + name1 = chr(2344) + chr(123) + chr(6543) + name2 = chr(5543) + chr(1543) + chr(324) + G.add_edge(name1, "Radiohead", **{name2: 3}) + fname = tmp_path / "el.txt" + with pytest.raises(UnicodeEncodeError): + nx.write_edgelist(G, fname, encoding="latin-1") + + def test_latin1(self, tmp_path): + G = nx.Graph() + name1 = "Bj" + chr(246) + "rk" + name2 = chr(220) + "ber" + G.add_edge(name1, "Radiohead", **{name2: 3}) + fname = tmp_path / "el.txt" + + nx.write_edgelist(G, fname, encoding="latin-1") + H = nx.read_edgelist(fname, encoding="latin-1") + assert graphs_equal(G, H) + + def test_edgelist_graph(self, tmp_path): + G = self.G + fname = tmp_path / "el.txt" + nx.write_edgelist(G, fname) + H = nx.read_edgelist(fname) + H2 = nx.read_edgelist(fname) + assert H is not H2 # they should be different graphs + G.remove_node("g") # isolated nodes are not written in edgelist + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_edgelist_digraph(self, tmp_path): + G = self.DG + fname = tmp_path / "el.txt" + nx.write_edgelist(G, fname) + H = nx.read_edgelist(fname, create_using=nx.DiGraph()) + H2 = nx.read_edgelist(fname, create_using=nx.DiGraph()) + assert H is not H2 # they should be different graphs + G.remove_node("g") # isolated nodes are not written in edgelist + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_edgelist_integers(self, tmp_path): + G = nx.convert_node_labels_to_integers(self.G) + fname = tmp_path / "el.txt" + nx.write_edgelist(G, fname) + H = nx.read_edgelist(fname, nodetype=int) + # isolated nodes are not written in edgelist + G.remove_nodes_from(list(nx.isolates(G))) + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_edgelist_multigraph(self, tmp_path): + G = self.XG + fname = tmp_path / "el.txt" + nx.write_edgelist(G, fname) + H = nx.read_edgelist(fname, nodetype=int, create_using=nx.MultiGraph()) + H2 = nx.read_edgelist(fname, nodetype=int, create_using=nx.MultiGraph()) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + def test_edgelist_multidigraph(self, tmp_path): + G = self.XDG + fname = tmp_path / "el.txt" + nx.write_edgelist(G, fname) + H = nx.read_edgelist(fname, nodetype=int, create_using=nx.MultiDiGraph()) + H2 = nx.read_edgelist(fname, nodetype=int, create_using=nx.MultiDiGraph()) + assert H is not H2 # they should be different graphs + assert nodes_equal(list(H), list(G)) + assert edges_equal(list(H.edges()), list(G.edges())) + + +def test_edgelist_consistent_strip_handling(): + """See gh-7462 + + Input when printed looks like:: + + 1 2 3 + 2 3 + 3 4 3.0 + + Note the trailing \\t after the `3` in the second row, indicating an empty + data value. + """ + s = io.StringIO("1\t2\t3\n2\t3\t\n3\t4\t3.0") + G = nx.parse_edgelist(s, delimiter="\t", nodetype=int, data=[("value", str)]) + assert sorted(G.edges(data="value")) == [(1, 2, "3"), (2, 3, ""), (3, 4, "3.0")] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_gexf.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_gexf.py new file mode 100644 index 0000000000000000000000000000000000000000..6ff14c99b1d5df41003b705b840a0968e0439239 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_gexf.py @@ -0,0 +1,557 @@ +import io +import time + +import pytest + +import networkx as nx + + +class TestGEXF: + @classmethod + def setup_class(cls): + cls.simple_directed_data = """ + + + + + + + + + + + +""" + cls.simple_directed_graph = nx.DiGraph() + cls.simple_directed_graph.add_node("0", label="Hello") + cls.simple_directed_graph.add_node("1", label="World") + cls.simple_directed_graph.add_edge("0", "1", id="0") + + cls.simple_directed_fh = io.BytesIO(cls.simple_directed_data.encode("UTF-8")) + + cls.attribute_data = """\ + + + Gephi.org + A Web network + + + + + + + true + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +""" + cls.attribute_graph = nx.DiGraph() + cls.attribute_graph.graph["node_default"] = {"frog": True} + cls.attribute_graph.add_node( + "0", label="Gephi", url="https://gephi.org", indegree=1, frog=False + ) + cls.attribute_graph.add_node( + "1", label="Webatlas", url="http://webatlas.fr", indegree=2, frog=False + ) + cls.attribute_graph.add_node( + "2", label="RTGI", url="http://rtgi.fr", indegree=1, frog=True + ) + cls.attribute_graph.add_node( + "3", + label="BarabasiLab", + url="http://barabasilab.com", + indegree=1, + frog=True, + ) + cls.attribute_graph.add_edge("0", "1", id="0", label="foo") + cls.attribute_graph.add_edge("0", "2", id="1") + cls.attribute_graph.add_edge("1", "0", id="2") + cls.attribute_graph.add_edge("2", "1", id="3") + cls.attribute_graph.add_edge("0", "3", id="4") + cls.attribute_fh = io.BytesIO(cls.attribute_data.encode("UTF-8")) + + cls.simple_undirected_data = """ + + + + + + + + + + + +""" + cls.simple_undirected_graph = nx.Graph() + cls.simple_undirected_graph.add_node("0", label="Hello") + cls.simple_undirected_graph.add_node("1", label="World") + cls.simple_undirected_graph.add_edge("0", "1", id="0") + + cls.simple_undirected_fh = io.BytesIO( + cls.simple_undirected_data.encode("UTF-8") + ) + + def test_read_simple_directed_graphml(self): + G = self.simple_directed_graph + H = nx.read_gexf(self.simple_directed_fh) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(G.edges()) == sorted(H.edges()) + assert sorted(G.edges(data=True)) == sorted(H.edges(data=True)) + self.simple_directed_fh.seek(0) + + def test_write_read_simple_directed_graphml(self): + G = self.simple_directed_graph + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(G.edges()) == sorted(H.edges()) + assert sorted(G.edges(data=True)) == sorted(H.edges(data=True)) + self.simple_directed_fh.seek(0) + + def test_read_simple_undirected_graphml(self): + G = self.simple_undirected_graph + H = nx.read_gexf(self.simple_undirected_fh) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + self.simple_undirected_fh.seek(0) + + def test_read_attribute_graphml(self): + G = self.attribute_graph + H = nx.read_gexf(self.attribute_fh) + assert sorted(G.nodes(True)) == sorted(H.nodes(data=True)) + ge = sorted(G.edges(data=True)) + he = sorted(H.edges(data=True)) + for a, b in zip(ge, he): + assert a == b + self.attribute_fh.seek(0) + + def test_directed_edge_in_undirected(self): + s = """ + + + + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_gexf, fh) + + def test_undirected_edge_in_directed(self): + s = """ + + + + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_gexf, fh) + + def test_key_raises(self): + s = """ + + + + + + + + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_gexf, fh) + + def test_relabel(self): + s = """ + + + + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + G = nx.read_gexf(fh, relabel=True) + assert sorted(G.nodes()) == ["Hello", "Word"] + + def test_default_attribute(self): + G = nx.Graph() + G.add_node(1, label="1", color="green") + nx.add_path(G, [0, 1, 2, 3]) + G.add_edge(1, 2, foo=3) + G.graph["node_default"] = {"color": "yellow"} + G.graph["edge_default"] = {"foo": 7} + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + # Reading a gexf graph always sets mode attribute to either + # 'static' or 'dynamic'. Remove the mode attribute from the + # read graph for the sake of comparing remaining attributes. + del H.graph["mode"] + assert G.graph == H.graph + + def test_serialize_ints_to_strings(self): + G = nx.Graph() + G.add_node(1, id=7, label=77) + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert list(H) == [7] + assert H.nodes[7]["label"] == "77" + + def test_write_with_node_attributes(self): + # Addresses #673. + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (2, 3)]) + for i in range(4): + G.nodes[i]["id"] = i + G.nodes[i]["label"] = i + G.nodes[i]["pid"] = i + G.nodes[i]["start"] = i + G.nodes[i]["end"] = i + 1 + + expected = f""" + + NetworkX {nx.__version__} + + + + + + + + + + + + + + +""" + obtained = "\n".join(nx.generate_gexf(G)) + assert expected == obtained + + def test_edge_id_construct(self): + G = nx.Graph() + G.add_edges_from([(0, 1, {"id": 0}), (1, 2, {"id": 2}), (2, 3)]) + + expected = f""" + + NetworkX {nx.__version__} + + + + + + + + + + + + + + +""" + + obtained = "\n".join(nx.generate_gexf(G)) + assert expected == obtained + + def test_numpy_type(self): + np = pytest.importorskip("numpy") + G = nx.path_graph(4) + nx.set_node_attributes(G, {n: n for n in np.arange(4)}, "number") + G[0][1]["edge-number"] = np.float64(1.1) + + expected = f""" + + NetworkX {nx.__version__} + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +""" + obtained = "\n".join(nx.generate_gexf(G)) + assert expected == obtained + + def test_bool(self): + G = nx.Graph() + G.add_node(1, testattr=True) + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert H.nodes[1]["testattr"] + + # Test for NaN, INF and -INF + def test_specials(self): + from math import isnan + + inf, nan = float("inf"), float("nan") + G = nx.Graph() + G.add_node(1, testattr=inf, strdata="inf", key="a") + G.add_node(2, testattr=nan, strdata="nan", key="b") + G.add_node(3, testattr=-inf, strdata="-inf", key="c") + + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + filetext = fh.read() + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + + assert b"INF" in filetext + assert b"NaN" in filetext + assert b"-INF" in filetext + + assert H.nodes[1]["testattr"] == inf + assert isnan(H.nodes[2]["testattr"]) + assert H.nodes[3]["testattr"] == -inf + + assert H.nodes[1]["strdata"] == "inf" + assert H.nodes[2]["strdata"] == "nan" + assert H.nodes[3]["strdata"] == "-inf" + + assert H.nodes[1]["networkx_key"] == "a" + assert H.nodes[2]["networkx_key"] == "b" + assert H.nodes[3]["networkx_key"] == "c" + + def test_simple_list(self): + G = nx.Graph() + list_value = [(1, 2, 3), (9, 1, 2)] + G.add_node(1, key=list_value) + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert H.nodes[1]["networkx_key"] == list_value + + def test_dynamic_mode(self): + G = nx.Graph() + G.add_node(1, label="1", color="green") + G.graph["mode"] = "dynamic" + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + + def test_multigraph_with_missing_attributes(self): + G = nx.MultiGraph() + G.add_node(0, label="1", color="green") + G.add_node(1, label="2", color="green") + G.add_edge(0, 1, id="0", weight=3, type="undirected", start=0, end=1) + G.add_edge(0, 1, id="1", label="foo", start=0, end=1) + G.add_edge(0, 1) + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + + def test_missing_viz_attributes(self): + G = nx.Graph() + G.add_node(0, label="1", color="green") + G.nodes[0]["viz"] = {"size": 54} + G.nodes[0]["viz"]["position"] = {"x": 0, "y": 1, "z": 0} + G.nodes[0]["viz"]["color"] = {"r": 0, "g": 0, "b": 256} + G.nodes[0]["viz"]["shape"] = "http://random.url" + G.nodes[0]["viz"]["thickness"] = 2 + fh = io.BytesIO() + nx.write_gexf(G, fh, version="1.1draft") + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + + # Test missing alpha value for version >draft1.1 - set default alpha value + # to 1.0 instead of `None` when writing for better general compatibility + fh = io.BytesIO() + # G.nodes[0]["viz"]["color"] does not have an alpha value explicitly defined + # so the default is used instead + nx.write_gexf(G, fh, version="1.2draft") + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert H.nodes[0]["viz"]["color"]["a"] == 1.0 + + # Second graph for the other branch + G = nx.Graph() + G.add_node(0, label="1", color="green") + G.nodes[0]["viz"] = {"size": 54} + G.nodes[0]["viz"]["position"] = {"x": 0, "y": 1, "z": 0} + G.nodes[0]["viz"]["color"] = {"r": 0, "g": 0, "b": 256, "a": 0.5} + G.nodes[0]["viz"]["shape"] = "ftp://random.url" + G.nodes[0]["viz"]["thickness"] = 2 + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + + def test_slice_and_spell(self): + # Test spell first, so version = 1.2 + G = nx.Graph() + G.add_node(0, label="1", color="green") + G.nodes[0]["spells"] = [(1, 2)] + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + + G = nx.Graph() + G.add_node(0, label="1", color="green") + G.nodes[0]["slices"] = [(1, 2)] + fh = io.BytesIO() + nx.write_gexf(G, fh, version="1.1draft") + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) + + def test_add_parent(self): + G = nx.Graph() + G.add_node(0, label="1", color="green", parents=[1, 2]) + fh = io.BytesIO() + nx.write_gexf(G, fh) + fh.seek(0) + H = nx.read_gexf(fh, node_type=int) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(sorted(e) for e in G.edges()) == sorted( + sorted(e) for e in H.edges() + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_gml.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_gml.py new file mode 100644 index 0000000000000000000000000000000000000000..f575ad269cf33c940a204aed398460a420550cc7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_gml.py @@ -0,0 +1,744 @@ +import codecs +import io +import math +from ast import literal_eval +from contextlib import contextmanager +from textwrap import dedent + +import pytest + +import networkx as nx +from networkx.readwrite.gml import literal_destringizer, literal_stringizer + + +class TestGraph: + @classmethod + def setup_class(cls): + cls.simple_data = """Creator "me" +Version "xx" +graph [ + comment "This is a sample graph" + directed 1 + IsPlanar 1 + pos [ x 0 y 1 ] + node [ + id 1 + label "Node 1" + pos [ x 1 y 1 ] + ] + node [ + id 2 + pos [ x 1 y 2 ] + label "Node 2" + ] + node [ + id 3 + label "Node 3" + pos [ x 1 y 3 ] + ] + edge [ + source 1 + target 2 + label "Edge from node 1 to node 2" + color [line "blue" thickness 3] + + ] + edge [ + source 2 + target 3 + label "Edge from node 2 to node 3" + ] + edge [ + source 3 + target 1 + label "Edge from node 3 to node 1" + ] +] +""" + + def test_parse_gml_cytoscape_bug(self): + # example from issue #321, originally #324 in trac + cytoscape_example = """ +Creator "Cytoscape" +Version 1.0 +graph [ + node [ + root_index -3 + id -3 + graphics [ + x -96.0 + y -67.0 + w 40.0 + h 40.0 + fill "#ff9999" + type "ellipse" + outline "#666666" + outline_width 1.5 + ] + label "node2" + ] + node [ + root_index -2 + id -2 + graphics [ + x 63.0 + y 37.0 + w 40.0 + h 40.0 + fill "#ff9999" + type "ellipse" + outline "#666666" + outline_width 1.5 + ] + label "node1" + ] + node [ + root_index -1 + id -1 + graphics [ + x -31.0 + y -17.0 + w 40.0 + h 40.0 + fill "#ff9999" + type "ellipse" + outline "#666666" + outline_width 1.5 + ] + label "node0" + ] + edge [ + root_index -2 + target -2 + source -1 + graphics [ + width 1.5 + fill "#0000ff" + type "line" + Line [ + ] + source_arrow 0 + target_arrow 3 + ] + label "DirectedEdge" + ] + edge [ + root_index -1 + target -1 + source -3 + graphics [ + width 1.5 + fill "#0000ff" + type "line" + Line [ + ] + source_arrow 0 + target_arrow 3 + ] + label "DirectedEdge" + ] +] +""" + nx.parse_gml(cytoscape_example) + + def test_parse_gml(self): + G = nx.parse_gml(self.simple_data, label="label") + assert sorted(G.nodes()) == ["Node 1", "Node 2", "Node 3"] + assert sorted(G.edges()) == [ + ("Node 1", "Node 2"), + ("Node 2", "Node 3"), + ("Node 3", "Node 1"), + ] + + assert sorted(G.edges(data=True)) == [ + ( + "Node 1", + "Node 2", + { + "color": {"line": "blue", "thickness": 3}, + "label": "Edge from node 1 to node 2", + }, + ), + ("Node 2", "Node 3", {"label": "Edge from node 2 to node 3"}), + ("Node 3", "Node 1", {"label": "Edge from node 3 to node 1"}), + ] + + def test_read_gml(self, tmp_path): + fname = tmp_path / "test.gml" + with open(fname, "w") as fh: + fh.write(self.simple_data) + Gin = nx.read_gml(fname, label="label") + G = nx.parse_gml(self.simple_data, label="label") + assert sorted(G.nodes(data=True)) == sorted(Gin.nodes(data=True)) + assert sorted(G.edges(data=True)) == sorted(Gin.edges(data=True)) + + def test_labels_are_strings(self): + # GML requires labels to be strings (i.e., in quotes) + answer = """graph [ + node [ + id 0 + label "1203" + ] +]""" + G = nx.Graph() + G.add_node(1203) + data = "\n".join(nx.generate_gml(G, stringizer=literal_stringizer)) + assert data == answer + + def test_relabel_duplicate(self): + data = """ +graph +[ + label "" + directed 1 + node + [ + id 0 + label "same" + ] + node + [ + id 1 + label "same" + ] +] +""" + fh = io.BytesIO(data.encode("UTF-8")) + fh.seek(0) + pytest.raises(nx.NetworkXError, nx.read_gml, fh, label="label") + + @pytest.mark.parametrize("stringizer", (None, literal_stringizer)) + def test_tuplelabels(self, stringizer): + # https://github.com/networkx/networkx/pull/1048 + # Writing tuple labels to GML failed. + G = nx.Graph() + G.add_edge((0, 1), (1, 0)) + data = "\n".join(nx.generate_gml(G, stringizer=stringizer)) + answer = """graph [ + node [ + id 0 + label "(0,1)" + ] + node [ + id 1 + label "(1,0)" + ] + edge [ + source 0 + target 1 + ] +]""" + assert data == answer + + def test_quotes(self, tmp_path): + # https://github.com/networkx/networkx/issues/1061 + # Encoding quotes as HTML entities. + G = nx.path_graph(1) + G.name = "path_graph(1)" + attr = 'This is "quoted" and this is a copyright: ' + chr(169) + G.nodes[0]["demo"] = attr + with open(tmp_path / "test.gml", "w+b") as fobj: + nx.write_gml(G, fobj) + fobj.seek(0) + # Should be bytes in 2.x and 3.x + data = fobj.read().strip().decode("ascii") + answer = """graph [ + name "path_graph(1)" + node [ + id 0 + label "0" + demo "This is "quoted" and this is a copyright: ©" + ] +]""" + assert data == answer + + def test_unicode_node(self, tmp_path): + node = "node" + chr(169) + G = nx.Graph() + G.add_node(node) + with open(tmp_path / "test.gml", "w+b") as fobj: + nx.write_gml(G, fobj) + fobj.seek(0) + # Should be bytes in 2.x and 3.x + data = fobj.read().strip().decode("ascii") + answer = """graph [ + node [ + id 0 + label "node©" + ] +]""" + assert data == answer + + def test_float_label(self, tmp_path): + node = 1.0 + G = nx.Graph() + G.add_node(node) + with open(tmp_path / "test.gml", "w+b") as fobj: + nx.write_gml(G, fobj) + fobj.seek(0) + # Should be bytes in 2.x and 3.x + data = fobj.read().strip().decode("ascii") + answer = """graph [ + node [ + id 0 + label "1.0" + ] +]""" + assert data == answer + + def test_special_float_label(self, tmp_path): + special_floats = [float("nan"), float("+inf"), float("-inf")] + try: + import numpy as np + + special_floats += [np.nan, np.inf, np.inf * -1] + except ImportError: + special_floats += special_floats + + G = nx.cycle_graph(len(special_floats)) + attrs = dict(enumerate(special_floats)) + nx.set_node_attributes(G, attrs, "nodefloat") + edges = list(G.edges) + attrs = {edges[i]: value for i, value in enumerate(special_floats)} + nx.set_edge_attributes(G, attrs, "edgefloat") + + with open(tmp_path / "test.gml", "w+b") as fobj: + nx.write_gml(G, fobj) + fobj.seek(0) + # Should be bytes in 2.x and 3.x + data = fobj.read().strip().decode("ascii") + answer = """graph [ + node [ + id 0 + label "0" + nodefloat NAN + ] + node [ + id 1 + label "1" + nodefloat +INF + ] + node [ + id 2 + label "2" + nodefloat -INF + ] + node [ + id 3 + label "3" + nodefloat NAN + ] + node [ + id 4 + label "4" + nodefloat +INF + ] + node [ + id 5 + label "5" + nodefloat -INF + ] + edge [ + source 0 + target 1 + edgefloat NAN + ] + edge [ + source 0 + target 5 + edgefloat +INF + ] + edge [ + source 1 + target 2 + edgefloat -INF + ] + edge [ + source 2 + target 3 + edgefloat NAN + ] + edge [ + source 3 + target 4 + edgefloat +INF + ] + edge [ + source 4 + target 5 + edgefloat -INF + ] +]""" + assert data == answer + + fobj.seek(0) + graph = nx.read_gml(fobj) + for indx, value in enumerate(special_floats): + node_value = graph.nodes[str(indx)]["nodefloat"] + if math.isnan(value): + assert math.isnan(node_value) + else: + assert node_value == value + + edge = edges[indx] + string_edge = (str(edge[0]), str(edge[1])) + edge_value = graph.edges[string_edge]["edgefloat"] + if math.isnan(value): + assert math.isnan(edge_value) + else: + assert edge_value == value + + def test_name(self): + G = nx.parse_gml('graph [ name "x" node [ id 0 label "x" ] ]') + assert "x" == G.graph["name"] + G = nx.parse_gml('graph [ node [ id 0 label "x" ] ]') + assert "" == G.name + assert "name" not in G.graph + + def test_graph_types(self): + for directed in [None, False, True]: + for multigraph in [None, False, True]: + gml = "graph [" + if directed is not None: + gml += " directed " + str(int(directed)) + if multigraph is not None: + gml += " multigraph " + str(int(multigraph)) + gml += ' node [ id 0 label "0" ]' + gml += " edge [ source 0 target 0 ]" + gml += " ]" + G = nx.parse_gml(gml) + assert bool(directed) == G.is_directed() + assert bool(multigraph) == G.is_multigraph() + gml = "graph [\n" + if directed is True: + gml += " directed 1\n" + if multigraph is True: + gml += " multigraph 1\n" + gml += """ node [ + id 0 + label "0" + ] + edge [ + source 0 + target 0 +""" + if multigraph: + gml += " key 0\n" + gml += " ]\n]" + assert gml == "\n".join(nx.generate_gml(G)) + + def test_data_types(self): + data = [ + True, + False, + 10**20, + -2e33, + "'", + '"&&&""', + [{(b"\xfd",): "\x7f", chr(0x4444): (1, 2)}, (2, "3")], + ] + data.append(chr(0x14444)) + data.append(literal_eval("{2.3j, 1 - 2.3j, ()}")) + G = nx.Graph() + G.name = data + G.graph["data"] = data + G.add_node(0, int=-1, data={"data": data}) + G.add_edge(0, 0, float=-2.5, data=data) + gml = "\n".join(nx.generate_gml(G, stringizer=literal_stringizer)) + G = nx.parse_gml(gml, destringizer=literal_destringizer) + assert data == G.name + assert {"name": data, "data": data} == G.graph + assert list(G.nodes(data=True)) == [(0, {"int": -1, "data": {"data": data}})] + assert list(G.edges(data=True)) == [(0, 0, {"float": -2.5, "data": data})] + G = nx.Graph() + G.graph["data"] = "frozenset([1, 2, 3])" + G = nx.parse_gml(nx.generate_gml(G), destringizer=literal_eval) + assert G.graph["data"] == "frozenset([1, 2, 3])" + + def test_escape_unescape(self): + gml = """graph [ + name "&"䑄��&unknown;" +]""" + G = nx.parse_gml(gml) + assert ( + '&"\x0f' + chr(0x4444) + "��&unknown;" + == G.name + ) + gml = "\n".join(nx.generate_gml(G)) + alnu = "#1234567890;&#x1234567890abcdef" + answer = ( + """graph [ + name "&"䑄&""" + + alnu + + """;&unknown;" +]""" + ) + assert answer == gml + + def test_exceptions(self, tmp_path): + pytest.raises(ValueError, literal_destringizer, "(") + pytest.raises(ValueError, literal_destringizer, "frozenset([1, 2, 3])") + pytest.raises(ValueError, literal_destringizer, literal_destringizer) + pytest.raises(ValueError, literal_stringizer, frozenset([1, 2, 3])) + pytest.raises(ValueError, literal_stringizer, literal_stringizer) + with open(tmp_path / "test.gml", "w+b") as f: + f.write(codecs.BOM_UTF8 + b"graph[]") + f.seek(0) + pytest.raises(nx.NetworkXError, nx.read_gml, f) + + def assert_parse_error(gml): + pytest.raises(nx.NetworkXError, nx.parse_gml, gml) + + assert_parse_error(["graph [\n\n", "]"]) + assert_parse_error("") + assert_parse_error('Creator ""') + assert_parse_error("0") + assert_parse_error("graph ]") + assert_parse_error("graph [ 1 ]") + assert_parse_error("graph [ 1.E+2 ]") + assert_parse_error('graph [ "A" ]') + assert_parse_error("graph [ ] graph ]") + assert_parse_error("graph [ ] graph [ ]") + assert_parse_error("graph [ data [1, 2, 3] ]") + assert_parse_error("graph [ node [ ] ]") + assert_parse_error("graph [ node [ id 0 ] ]") + nx.parse_gml('graph [ node [ id "a" ] ]', label="id") + assert_parse_error("graph [ node [ id 0 label 0 ] node [ id 0 label 1 ] ]") + assert_parse_error("graph [ node [ id 0 label 0 ] node [ id 1 label 0 ] ]") + assert_parse_error("graph [ node [ id 0 label 0 ] edge [ ] ]") + assert_parse_error("graph [ node [ id 0 label 0 ] edge [ source 0 ] ]") + nx.parse_gml("graph [edge [ source 0 target 0 ] node [ id 0 label 0 ] ]") + assert_parse_error("graph [ node [ id 0 label 0 ] edge [ source 1 target 0 ] ]") + assert_parse_error("graph [ node [ id 0 label 0 ] edge [ source 0 target 1 ] ]") + assert_parse_error( + "graph [ node [ id 0 label 0 ] node [ id 1 label 1 ] " + "edge [ source 0 target 1 ] edge [ source 1 target 0 ] ]" + ) + nx.parse_gml( + "graph [ node [ id 0 label 0 ] node [ id 1 label 1 ] " + "edge [ source 0 target 1 ] edge [ source 1 target 0 ] " + "directed 1 ]" + ) + nx.parse_gml( + "graph [ node [ id 0 label 0 ] node [ id 1 label 1 ] " + "edge [ source 0 target 1 ] edge [ source 0 target 1 ]" + "multigraph 1 ]" + ) + nx.parse_gml( + "graph [ node [ id 0 label 0 ] node [ id 1 label 1 ] " + "edge [ source 0 target 1 key 0 ] edge [ source 0 target 1 ]" + "multigraph 1 ]" + ) + assert_parse_error( + "graph [ node [ id 0 label 0 ] node [ id 1 label 1 ] " + "edge [ source 0 target 1 key 0 ] edge [ source 0 target 1 key 0 ]" + "multigraph 1 ]" + ) + nx.parse_gml( + "graph [ node [ id 0 label 0 ] node [ id 1 label 1 ] " + "edge [ source 0 target 1 key 0 ] edge [ source 1 target 0 key 0 ]" + "directed 1 multigraph 1 ]" + ) + + # Tests for string convertible alphanumeric id and label values + nx.parse_gml("graph [edge [ source a target a ] node [ id a label b ] ]") + nx.parse_gml( + "graph [ node [ id n42 label 0 ] node [ id x43 label 1 ]" + "edge [ source n42 target x43 key 0 ]" + "edge [ source x43 target n42 key 0 ]" + "directed 1 multigraph 1 ]" + ) + assert_parse_error( + "graph [edge [ source '\u4200' target '\u4200' ] " + + "node [ id '\u4200' label b ] ]" + ) + + def assert_generate_error(*args, **kwargs): + pytest.raises( + nx.NetworkXError, lambda: list(nx.generate_gml(*args, **kwargs)) + ) + + G = nx.Graph() + G.graph[3] = 3 + assert_generate_error(G) + G = nx.Graph() + G.graph["3"] = 3 + assert_generate_error(G) + G = nx.Graph() + G.graph["data"] = frozenset([1, 2, 3]) + assert_generate_error(G, stringizer=literal_stringizer) + + def test_label_kwarg(self): + G = nx.parse_gml(self.simple_data, label="id") + assert sorted(G.nodes) == [1, 2, 3] + labels = [G.nodes[n]["label"] for n in sorted(G.nodes)] + assert labels == ["Node 1", "Node 2", "Node 3"] + + G = nx.parse_gml(self.simple_data, label=None) + assert sorted(G.nodes) == [1, 2, 3] + labels = [G.nodes[n]["label"] for n in sorted(G.nodes)] + assert labels == ["Node 1", "Node 2", "Node 3"] + + def test_outofrange_integers(self, tmp_path): + # GML restricts integers to 32 signed bits. + # Check that we honor this restriction on export + G = nx.Graph() + # Test export for numbers that barely fit or don't fit into 32 bits, + # and 3 numbers in the middle + numbers = { + "toosmall": (-(2**31)) - 1, + "small": -(2**31), + "med1": -4, + "med2": 0, + "med3": 17, + "big": (2**31) - 1, + "toobig": 2**31, + } + G.add_node("Node", **numbers) + + fname = tmp_path / "test.gml" + nx.write_gml(G, fname) + # Check that the export wrote the nonfitting numbers as strings + G2 = nx.read_gml(fname) + for attr, value in G2.nodes["Node"].items(): + if attr == "toosmall" or attr == "toobig": + assert type(value) == str + else: + assert type(value) == int + + def test_multiline(self): + # example from issue #6836 + multiline_example = """ +graph +[ + node + [ + id 0 + label "multiline node" + label2 "multiline1 + multiline2 + multiline3" + alt_name "id 0" + ] +] +""" + G = nx.parse_gml(multiline_example) + assert G.nodes["multiline node"] == { + "label2": "multiline1 multiline2 multiline3", + "alt_name": "id 0", + } + + +@contextmanager +def byte_file(): + _file_handle = io.BytesIO() + yield _file_handle + _file_handle.seek(0) + + +class TestPropertyLists: + def test_writing_graph_with_multi_element_property_list(self): + g = nx.Graph() + g.add_node("n1", properties=["element", 0, 1, 2.5, True, False]) + with byte_file() as f: + nx.write_gml(g, f) + result = f.read().decode() + + assert result == dedent( + """\ + graph [ + node [ + id 0 + label "n1" + properties "element" + properties 0 + properties 1 + properties 2.5 + properties 1 + properties 0 + ] + ] + """ + ) + + def test_writing_graph_with_one_element_property_list(self): + g = nx.Graph() + g.add_node("n1", properties=["element"]) + with byte_file() as f: + nx.write_gml(g, f) + result = f.read().decode() + + assert result == dedent( + """\ + graph [ + node [ + id 0 + label "n1" + properties "_networkx_list_start" + properties "element" + ] + ] + """ + ) + + def test_reading_graph_with_list_property(self): + with byte_file() as f: + f.write( + dedent( + """ + graph [ + node [ + id 0 + label "n1" + properties "element" + properties 0 + properties 1 + properties 2.5 + ] + ] + """ + ).encode("ascii") + ) + f.seek(0) + graph = nx.read_gml(f) + assert graph.nodes(data=True)["n1"] == {"properties": ["element", 0, 1, 2.5]} + + def test_reading_graph_with_single_element_list_property(self): + with byte_file() as f: + f.write( + dedent( + """ + graph [ + node [ + id 0 + label "n1" + properties "_networkx_list_start" + properties "element" + ] + ] + """ + ).encode("ascii") + ) + f.seek(0) + graph = nx.read_gml(f) + assert graph.nodes(data=True)["n1"] == {"properties": ["element"]} + + +@pytest.mark.parametrize("coll", ([], ())) +def test_stringize_empty_list_tuple(coll): + G = nx.path_graph(2) + G.nodes[0]["test"] = coll # test serializing an empty collection + f = io.BytesIO() + nx.write_gml(G, f) # Smoke test - should not raise + f.seek(0) + H = nx.read_gml(f) + assert H.nodes["0"]["test"] == coll # Check empty list round-trips properly + # Check full round-tripping. Note that nodes are loaded as strings by + # default, so there needs to be some remapping prior to comparison + H = nx.relabel_nodes(H, {"0": 0, "1": 1}) + assert nx.utils.graphs_equal(G, H) + # Same as above, but use destringizer for node remapping. Should have no + # effect on node attr + f.seek(0) + H = nx.read_gml(f, destringizer=int) + assert nx.utils.graphs_equal(G, H) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_graph6.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_graph6.py new file mode 100644 index 0000000000000000000000000000000000000000..a80326946c611751c1d27a3a10e74b64f2d379d4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_graph6.py @@ -0,0 +1,168 @@ +from io import BytesIO + +import pytest + +import networkx as nx +import networkx.readwrite.graph6 as g6 +from networkx.utils import edges_equal, nodes_equal + + +class TestGraph6Utils: + def test_n_data_n_conversion(self): + for i in [0, 1, 42, 62, 63, 64, 258047, 258048, 7744773, 68719476735]: + assert g6.data_to_n(g6.n_to_data(i))[0] == i + assert g6.data_to_n(g6.n_to_data(i))[1] == [] + assert g6.data_to_n(g6.n_to_data(i) + [42, 43])[1] == [42, 43] + + +class TestFromGraph6Bytes: + def test_from_graph6_bytes(self): + data = b"DF{" + G = nx.from_graph6_bytes(data) + assert nodes_equal(G.nodes(), [0, 1, 2, 3, 4]) + assert edges_equal( + G.edges(), [(0, 3), (0, 4), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)] + ) + + def test_read_equals_from_bytes(self): + data = b"DF{" + G = nx.from_graph6_bytes(data) + fh = BytesIO(data) + Gin = nx.read_graph6(fh) + assert nodes_equal(G.nodes(), Gin.nodes()) + assert edges_equal(G.edges(), Gin.edges()) + + +class TestReadGraph6: + def test_read_many_graph6(self): + """Test for reading many graphs from a file into a list.""" + data = b"DF{\nD`{\nDqK\nD~{\n" + fh = BytesIO(data) + glist = nx.read_graph6(fh) + assert len(glist) == 4 + for G in glist: + assert sorted(G) == list(range(5)) + + +class TestWriteGraph6: + """Unit tests for writing a graph to a file in graph6 format.""" + + def test_null_graph(self): + result = BytesIO() + nx.write_graph6(nx.null_graph(), result) + assert result.getvalue() == b">>graph6<>graph6<<@\n" + + def test_complete_graph(self): + result = BytesIO() + nx.write_graph6(nx.complete_graph(4), result) + assert result.getvalue() == b">>graph6<>graph6<>graph6<>graph6<>graph6<<@\n" + + def test_complete_graph(self): + assert g6.to_graph6_bytes(nx.complete_graph(4)) == b">>graph6<>graph6< + + + + + + + + + + + + + + + + + + + + + + + + + + +""" + cls.simple_directed_graph = nx.DiGraph() + cls.simple_directed_graph.add_node("n10") + cls.simple_directed_graph.add_edge("n0", "n2", id="foo") + cls.simple_directed_graph.add_edge("n0", "n2") + cls.simple_directed_graph.add_edges_from( + [ + ("n1", "n2"), + ("n2", "n3"), + ("n3", "n5"), + ("n3", "n4"), + ("n4", "n6"), + ("n6", "n5"), + ("n5", "n7"), + ("n6", "n8"), + ("n8", "n7"), + ("n8", "n9"), + ] + ) + cls.simple_directed_fh = io.BytesIO(cls.simple_directed_data.encode("UTF-8")) + + cls.attribute_data = """ + + + yellow + + + + + green + + + + blue + + + red + + + + turquoise + + + 1.0 + + + 1.0 + + + 2.0 + + + + + + 1.1 + + + +""" + cls.attribute_graph = nx.DiGraph(id="G") + cls.attribute_graph.graph["node_default"] = {"color": "yellow"} + cls.attribute_graph.add_node("n0", color="green") + cls.attribute_graph.add_node("n2", color="blue") + cls.attribute_graph.add_node("n3", color="red") + cls.attribute_graph.add_node("n4") + cls.attribute_graph.add_node("n5", color="turquoise") + cls.attribute_graph.add_edge("n0", "n2", id="e0", weight=1.0) + cls.attribute_graph.add_edge("n0", "n1", id="e1", weight=1.0) + cls.attribute_graph.add_edge("n1", "n3", id="e2", weight=2.0) + cls.attribute_graph.add_edge("n3", "n2", id="e3") + cls.attribute_graph.add_edge("n2", "n4", id="e4") + cls.attribute_graph.add_edge("n3", "n5", id="e5") + cls.attribute_graph.add_edge("n5", "n4", id="e6", weight=1.1) + cls.attribute_fh = io.BytesIO(cls.attribute_data.encode("UTF-8")) + + cls.node_attribute_default_data = """ + + false + 0 + 0 + 0.0 + 0.0 + Foo + + + + + + + """ + cls.node_attribute_default_graph = nx.DiGraph(id="G") + cls.node_attribute_default_graph.graph["node_default"] = { + "boolean_attribute": False, + "int_attribute": 0, + "long_attribute": 0, + "float_attribute": 0.0, + "double_attribute": 0.0, + "string_attribute": "Foo", + } + cls.node_attribute_default_graph.add_node("n0") + cls.node_attribute_default_graph.add_node("n1") + cls.node_attribute_default_graph.add_edge("n0", "n1", id="e0") + cls.node_attribute_default_fh = io.BytesIO( + cls.node_attribute_default_data.encode("UTF-8") + ) + + cls.attribute_named_key_ids_data = """ + + + + + + + val1 + val2 + + + val_one + val2 + + + edge_value + + + +""" + cls.attribute_named_key_ids_graph = nx.DiGraph() + cls.attribute_named_key_ids_graph.add_node("0", prop1="val1", prop2="val2") + cls.attribute_named_key_ids_graph.add_node("1", prop1="val_one", prop2="val2") + cls.attribute_named_key_ids_graph.add_edge("0", "1", edge_prop="edge_value") + fh = io.BytesIO(cls.attribute_named_key_ids_data.encode("UTF-8")) + cls.attribute_named_key_ids_fh = fh + + cls.attribute_numeric_type_data = """ + + + + + + 1 + + + 2.0 + + + 1 + + + k + + + 1.0 + + + +""" + cls.attribute_numeric_type_graph = nx.DiGraph() + cls.attribute_numeric_type_graph.add_node("n0", weight=1) + cls.attribute_numeric_type_graph.add_node("n1", weight=2.0) + cls.attribute_numeric_type_graph.add_edge("n0", "n1", weight=1) + cls.attribute_numeric_type_graph.add_edge("n1", "n1", weight=1.0) + fh = io.BytesIO(cls.attribute_numeric_type_data.encode("UTF-8")) + cls.attribute_numeric_type_fh = fh + + cls.simple_undirected_data = """ + + + + + + + + + + +""" + # + cls.simple_undirected_graph = nx.Graph() + cls.simple_undirected_graph.add_node("n10") + cls.simple_undirected_graph.add_edge("n0", "n2", id="foo") + cls.simple_undirected_graph.add_edges_from([("n1", "n2"), ("n2", "n3")]) + fh = io.BytesIO(cls.simple_undirected_data.encode("UTF-8")) + cls.simple_undirected_fh = fh + + cls.undirected_multigraph_data = """ + + + + + + + + + + +""" + cls.undirected_multigraph = nx.MultiGraph() + cls.undirected_multigraph.add_node("n10") + cls.undirected_multigraph.add_edge("n0", "n2", id="e0") + cls.undirected_multigraph.add_edge("n1", "n2", id="e1") + cls.undirected_multigraph.add_edge("n2", "n1", id="e2") + fh = io.BytesIO(cls.undirected_multigraph_data.encode("UTF-8")) + cls.undirected_multigraph_fh = fh + + cls.undirected_multigraph_no_multiedge_data = """ + + + + + + + + + + +""" + cls.undirected_multigraph_no_multiedge = nx.MultiGraph() + cls.undirected_multigraph_no_multiedge.add_node("n10") + cls.undirected_multigraph_no_multiedge.add_edge("n0", "n2", id="e0") + cls.undirected_multigraph_no_multiedge.add_edge("n1", "n2", id="e1") + cls.undirected_multigraph_no_multiedge.add_edge("n2", "n3", id="e2") + fh = io.BytesIO(cls.undirected_multigraph_no_multiedge_data.encode("UTF-8")) + cls.undirected_multigraph_no_multiedge_fh = fh + + cls.multigraph_only_ids_for_multiedges_data = """ + + + + + + + + + + +""" + cls.multigraph_only_ids_for_multiedges = nx.MultiGraph() + cls.multigraph_only_ids_for_multiedges.add_node("n10") + cls.multigraph_only_ids_for_multiedges.add_edge("n0", "n2") + cls.multigraph_only_ids_for_multiedges.add_edge("n1", "n2", id="e1") + cls.multigraph_only_ids_for_multiedges.add_edge("n2", "n1", id="e2") + fh = io.BytesIO(cls.multigraph_only_ids_for_multiedges_data.encode("UTF-8")) + cls.multigraph_only_ids_for_multiedges_fh = fh + + +class TestReadGraphML(BaseGraphML): + def test_read_simple_directed_graphml(self): + G = self.simple_directed_graph + H = nx.read_graphml(self.simple_directed_fh) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(G.edges()) == sorted(H.edges()) + assert sorted(G.edges(data=True)) == sorted(H.edges(data=True)) + self.simple_directed_fh.seek(0) + + PG = nx.parse_graphml(self.simple_directed_data) + assert sorted(G.nodes()) == sorted(PG.nodes()) + assert sorted(G.edges()) == sorted(PG.edges()) + assert sorted(G.edges(data=True)) == sorted(PG.edges(data=True)) + + def test_read_simple_undirected_graphml(self): + G = self.simple_undirected_graph + H = nx.read_graphml(self.simple_undirected_fh) + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + self.simple_undirected_fh.seek(0) + + PG = nx.parse_graphml(self.simple_undirected_data) + assert nodes_equal(G.nodes(), PG.nodes()) + assert edges_equal(G.edges(), PG.edges()) + + def test_read_undirected_multigraph_graphml(self): + G = self.undirected_multigraph + H = nx.read_graphml(self.undirected_multigraph_fh) + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + self.undirected_multigraph_fh.seek(0) + + PG = nx.parse_graphml(self.undirected_multigraph_data) + assert nodes_equal(G.nodes(), PG.nodes()) + assert edges_equal(G.edges(), PG.edges()) + + def test_read_undirected_multigraph_no_multiedge_graphml(self): + G = self.undirected_multigraph_no_multiedge + H = nx.read_graphml(self.undirected_multigraph_no_multiedge_fh) + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + self.undirected_multigraph_no_multiedge_fh.seek(0) + + PG = nx.parse_graphml(self.undirected_multigraph_no_multiedge_data) + assert nodes_equal(G.nodes(), PG.nodes()) + assert edges_equal(G.edges(), PG.edges()) + + def test_read_undirected_multigraph_only_ids_for_multiedges_graphml(self): + G = self.multigraph_only_ids_for_multiedges + H = nx.read_graphml(self.multigraph_only_ids_for_multiedges_fh) + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + self.multigraph_only_ids_for_multiedges_fh.seek(0) + + PG = nx.parse_graphml(self.multigraph_only_ids_for_multiedges_data) + assert nodes_equal(G.nodes(), PG.nodes()) + assert edges_equal(G.edges(), PG.edges()) + + def test_read_attribute_graphml(self): + G = self.attribute_graph + H = nx.read_graphml(self.attribute_fh) + assert nodes_equal(G.nodes(True), sorted(H.nodes(data=True))) + ge = sorted(G.edges(data=True)) + he = sorted(H.edges(data=True)) + for a, b in zip(ge, he): + assert a == b + self.attribute_fh.seek(0) + + PG = nx.parse_graphml(self.attribute_data) + assert sorted(G.nodes(True)) == sorted(PG.nodes(data=True)) + ge = sorted(G.edges(data=True)) + he = sorted(PG.edges(data=True)) + for a, b in zip(ge, he): + assert a == b + + def test_node_default_attribute_graphml(self): + G = self.node_attribute_default_graph + H = nx.read_graphml(self.node_attribute_default_fh) + assert G.graph["node_default"] == H.graph["node_default"] + + def test_directed_edge_in_undirected(self): + s = """ + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_graphml, fh) + pytest.raises(nx.NetworkXError, nx.parse_graphml, s) + + def test_undirected_edge_in_directed(self): + s = """ + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_graphml, fh) + pytest.raises(nx.NetworkXError, nx.parse_graphml, s) + + def test_key_raise(self): + s = """ + + + yellow + + + + + green + + + + blue + + + 1.0 + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_graphml, fh) + pytest.raises(nx.NetworkXError, nx.parse_graphml, s) + + def test_hyperedge_raise(self): + s = """ + + + yellow + + + + + green + + + + blue + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_graphml, fh) + pytest.raises(nx.NetworkXError, nx.parse_graphml, s) + + def test_multigraph_keys(self): + # Test that reading multigraphs uses edge id attributes as keys + s = """ + + + + + + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + G = nx.read_graphml(fh) + expected = [("n0", "n1", "e0"), ("n0", "n1", "e1")] + assert sorted(G.edges(keys=True)) == expected + fh.seek(0) + H = nx.parse_graphml(s) + assert sorted(H.edges(keys=True)) == expected + + def test_preserve_multi_edge_data(self): + """ + Test that data and keys of edges are preserved on consequent + write and reads + """ + G = nx.MultiGraph() + G.add_node(1) + G.add_node(2) + G.add_edges_from( + [ + # edges with no data, no keys: + (1, 2), + # edges with only data: + (1, 2, {"key": "data_key1"}), + (1, 2, {"id": "data_id2"}), + (1, 2, {"key": "data_key3", "id": "data_id3"}), + # edges with both data and keys: + (1, 2, 103, {"key": "data_key4"}), + (1, 2, 104, {"id": "data_id5"}), + (1, 2, 105, {"key": "data_key6", "id": "data_id7"}), + ] + ) + fh = io.BytesIO() + nx.write_graphml(G, fh) + fh.seek(0) + H = nx.read_graphml(fh, node_type=int) + assert edges_equal(G.edges(data=True, keys=True), H.edges(data=True, keys=True)) + assert G._adj == H._adj + + Gadj = { + str(node): { + str(nbr): {str(ekey): dd for ekey, dd in key_dict.items()} + for nbr, key_dict in nbr_dict.items() + } + for node, nbr_dict in G._adj.items() + } + fh.seek(0) + HH = nx.read_graphml(fh, node_type=str, edge_key_type=str) + assert Gadj == HH._adj + + fh.seek(0) + string_fh = fh.read() + HH = nx.parse_graphml(string_fh, node_type=str, edge_key_type=str) + assert Gadj == HH._adj + + def test_yfiles_extension(self): + data = """ + + + + + + + + + + + + + + + + + + + + 1 + + + + + + + + + + + 2 + + + + + + + + + + + + 3 + + + + + + + + + + + + + + + + + + + + +""" + fh = io.BytesIO(data.encode("UTF-8")) + G = nx.read_graphml(fh, force_multigraph=True) + assert list(G.edges()) == [("n0", "n1")] + assert G.has_edge("n0", "n1", key="e0") + assert G.nodes["n0"]["label"] == "1" + assert G.nodes["n1"]["label"] == "2" + assert G.nodes["n2"]["label"] == "3" + assert G.nodes["n0"]["shape_type"] == "rectangle" + assert G.nodes["n1"]["shape_type"] == "rectangle" + assert G.nodes["n2"]["shape_type"] == "com.yworks.flowchart.terminator" + assert G.nodes["n2"]["description"] == "description\nline1\nline2" + fh.seek(0) + G = nx.read_graphml(fh) + assert list(G.edges()) == [("n0", "n1")] + assert G["n0"]["n1"]["id"] == "e0" + assert G.nodes["n0"]["label"] == "1" + assert G.nodes["n1"]["label"] == "2" + assert G.nodes["n2"]["label"] == "3" + assert G.nodes["n0"]["shape_type"] == "rectangle" + assert G.nodes["n1"]["shape_type"] == "rectangle" + assert G.nodes["n2"]["shape_type"] == "com.yworks.flowchart.terminator" + assert G.nodes["n2"]["description"] == "description\nline1\nline2" + + H = nx.parse_graphml(data, force_multigraph=True) + assert list(H.edges()) == [("n0", "n1")] + assert H.has_edge("n0", "n1", key="e0") + assert H.nodes["n0"]["label"] == "1" + assert H.nodes["n1"]["label"] == "2" + assert H.nodes["n2"]["label"] == "3" + + H = nx.parse_graphml(data) + assert list(H.edges()) == [("n0", "n1")] + assert H["n0"]["n1"]["id"] == "e0" + assert H.nodes["n0"]["label"] == "1" + assert H.nodes["n1"]["label"] == "2" + assert H.nodes["n2"]["label"] == "3" + + def test_bool(self): + s = """ + + + false + + + + true + + + + false + + + FaLsE + + + True + + + 0 + + + 1 + + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + G = nx.read_graphml(fh) + H = nx.parse_graphml(s) + for graph in [G, H]: + assert graph.nodes["n0"]["test"] + assert not graph.nodes["n2"]["test"] + assert not graph.nodes["n3"]["test"] + assert graph.nodes["n4"]["test"] + assert not graph.nodes["n5"]["test"] + assert graph.nodes["n6"]["test"] + + def test_graphml_header_line(self): + good = """ + + + false + + + + true + + + +""" + bad = """ + + + false + + + + true + + + +""" + ugly = """ + + + false + + + + true + + + +""" + for s in (good, bad): + fh = io.BytesIO(s.encode("UTF-8")) + G = nx.read_graphml(fh) + H = nx.parse_graphml(s) + for graph in [G, H]: + assert graph.nodes["n0"]["test"] + + fh = io.BytesIO(ugly.encode("UTF-8")) + pytest.raises(nx.NetworkXError, nx.read_graphml, fh) + pytest.raises(nx.NetworkXError, nx.parse_graphml, ugly) + + def test_read_attributes_with_groups(self): + data = """\ + + + + + + + + + + + + + + + + + + + + + + + + + + + + 2 + + + + + + + + + + + + + + + + + + + + + + Group 3 + + + + + + + + + + Folder 3 + + + + + + + + + + + + + + + + + + + + + Group 1 + + + + + + + + + + Folder 1 + + + + + + + + + + + + + + + + + + 1 + + + + + + + + + + + + + + + + + + + 3 + + + + + + + + + + + + + + + + + + + + + + + + Group 2 + + + + + + + + + + Folder 2 + + + + + + + + + + + + + + + + + + 5 + + + + + + + + + + + + + + + + + + + 6 + + + + + + + + + + + + + + + + + + + + + + + 9 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +""" + # verify that nodes / attributes are correctly read when part of a group + fh = io.BytesIO(data.encode("UTF-8")) + G = nx.read_graphml(fh) + data = [x for _, x in G.nodes(data=True)] + assert len(data) == 9 + for node_data in data: + assert node_data["CustomProperty"] != "" + + def test_long_attribute_type(self): + # test that graphs with attr.type="long" (as produced by botch and + # dose3) can be parsed + s = """ + + + + + 4284 + + +""" + fh = io.BytesIO(s.encode("UTF-8")) + G = nx.read_graphml(fh) + expected = [("n1", {"cudfversion": 4284})] + assert sorted(G.nodes(data=True)) == expected + fh.seek(0) + H = nx.parse_graphml(s) + assert sorted(H.nodes(data=True)) == expected + + +class TestWriteGraphML(BaseGraphML): + writer = staticmethod(nx.write_graphml_lxml) + + @classmethod + def setup_class(cls): + BaseGraphML.setup_class() + _ = pytest.importorskip("lxml.etree") + + def test_write_interface(self): + try: + import lxml.etree + + assert nx.write_graphml == nx.write_graphml_lxml + except ImportError: + assert nx.write_graphml == nx.write_graphml_xml + + def test_write_read_simple_directed_graphml(self): + G = self.simple_directed_graph + G.graph["hi"] = "there" + fh = io.BytesIO() + self.writer(G, fh) + fh.seek(0) + H = nx.read_graphml(fh) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(G.edges()) == sorted(H.edges()) + assert sorted(G.edges(data=True)) == sorted(H.edges(data=True)) + self.simple_directed_fh.seek(0) + + def test_GraphMLWriter_add_graphs(self): + gmlw = GraphMLWriter() + G = self.simple_directed_graph + H = G.copy() + gmlw.add_graphs([G, H]) + + def test_write_read_simple_no_prettyprint(self): + G = self.simple_directed_graph + G.graph["hi"] = "there" + G.graph["id"] = "1" + fh = io.BytesIO() + self.writer(G, fh, prettyprint=False) + fh.seek(0) + H = nx.read_graphml(fh) + assert sorted(G.nodes()) == sorted(H.nodes()) + assert sorted(G.edges()) == sorted(H.edges()) + assert sorted(G.edges(data=True)) == sorted(H.edges(data=True)) + self.simple_directed_fh.seek(0) + + def test_write_read_attribute_named_key_ids_graphml(self): + from xml.etree.ElementTree import parse + + G = self.attribute_named_key_ids_graph + fh = io.BytesIO() + self.writer(G, fh, named_key_ids=True) + fh.seek(0) + H = nx.read_graphml(fh) + fh.seek(0) + + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + assert edges_equal(G.edges(data=True), H.edges(data=True)) + self.attribute_named_key_ids_fh.seek(0) + + xml = parse(fh) + # Children are the key elements, and the graph element + children = list(xml.getroot()) + assert len(children) == 4 + + keys = [child.items() for child in children[:3]] + + assert len(keys) == 3 + assert ("id", "edge_prop") in keys[0] + assert ("attr.name", "edge_prop") in keys[0] + assert ("id", "prop2") in keys[1] + assert ("attr.name", "prop2") in keys[1] + assert ("id", "prop1") in keys[2] + assert ("attr.name", "prop1") in keys[2] + + # Confirm the read graph nodes/edge are identical when compared to + # default writing behavior. + default_behavior_fh = io.BytesIO() + nx.write_graphml(G, default_behavior_fh) + default_behavior_fh.seek(0) + H = nx.read_graphml(default_behavior_fh) + + named_key_ids_behavior_fh = io.BytesIO() + nx.write_graphml(G, named_key_ids_behavior_fh, named_key_ids=True) + named_key_ids_behavior_fh.seek(0) + J = nx.read_graphml(named_key_ids_behavior_fh) + + assert all(n1 == n2 for (n1, n2) in zip(H.nodes, J.nodes)) + assert all(e1 == e2 for (e1, e2) in zip(H.edges, J.edges)) + + def test_write_read_attribute_numeric_type_graphml(self): + from xml.etree.ElementTree import parse + + G = self.attribute_numeric_type_graph + fh = io.BytesIO() + self.writer(G, fh, infer_numeric_types=True) + fh.seek(0) + H = nx.read_graphml(fh) + fh.seek(0) + + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + assert edges_equal(G.edges(data=True), H.edges(data=True)) + self.attribute_numeric_type_fh.seek(0) + + xml = parse(fh) + # Children are the key elements, and the graph element + children = list(xml.getroot()) + assert len(children) == 3 + + keys = [child.items() for child in children[:2]] + + assert len(keys) == 2 + assert ("attr.type", "double") in keys[0] + assert ("attr.type", "double") in keys[1] + + def test_more_multigraph_keys(self, tmp_path): + """Writing keys as edge id attributes means keys become strings. + The original keys are stored as data, so read them back in + if `str(key) == edge_id` + This allows the adjacency to remain the same. + """ + G = nx.MultiGraph() + G.add_edges_from([("a", "b", 2), ("a", "b", 3)]) + fname = tmp_path / "test.graphml" + self.writer(G, fname) + H = nx.read_graphml(fname) + assert H.is_multigraph() + assert edges_equal(G.edges(keys=True), H.edges(keys=True)) + assert G._adj == H._adj + + def test_default_attribute(self): + G = nx.Graph(name="Fred") + G.add_node(1, label=1, color="green") + nx.add_path(G, [0, 1, 2, 3]) + G.add_edge(1, 2, weight=3) + G.graph["node_default"] = {"color": "yellow"} + G.graph["edge_default"] = {"weight": 7} + fh = io.BytesIO() + self.writer(G, fh) + fh.seek(0) + H = nx.read_graphml(fh, node_type=int) + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + assert G.graph == H.graph + + def test_mixed_type_attributes(self): + G = nx.MultiGraph() + G.add_node("n0", special=False) + G.add_node("n1", special=0) + G.add_edge("n0", "n1", special=False) + G.add_edge("n0", "n1", special=0) + fh = io.BytesIO() + self.writer(G, fh) + fh.seek(0) + H = nx.read_graphml(fh) + assert not H.nodes["n0"]["special"] + assert H.nodes["n1"]["special"] == 0 + assert not H.edges["n0", "n1", 0]["special"] + assert H.edges["n0", "n1", 1]["special"] == 0 + + def test_str_number_mixed_type_attributes(self): + G = nx.MultiGraph() + G.add_node("n0", special="hello") + G.add_node("n1", special=0) + G.add_edge("n0", "n1", special="hello") + G.add_edge("n0", "n1", special=0) + fh = io.BytesIO() + self.writer(G, fh) + fh.seek(0) + H = nx.read_graphml(fh) + assert H.nodes["n0"]["special"] == "hello" + assert H.nodes["n1"]["special"] == 0 + assert H.edges["n0", "n1", 0]["special"] == "hello" + assert H.edges["n0", "n1", 1]["special"] == 0 + + def test_mixed_int_type_number_attributes(self): + np = pytest.importorskip("numpy") + G = nx.MultiGraph() + G.add_node("n0", special=np.int64(0)) + G.add_node("n1", special=1) + G.add_edge("n0", "n1", special=np.int64(2)) + G.add_edge("n0", "n1", special=3) + fh = io.BytesIO() + self.writer(G, fh) + fh.seek(0) + H = nx.read_graphml(fh) + assert H.nodes["n0"]["special"] == 0 + assert H.nodes["n1"]["special"] == 1 + assert H.edges["n0", "n1", 0]["special"] == 2 + assert H.edges["n0", "n1", 1]["special"] == 3 + + def test_multigraph_to_graph(self, tmp_path): + # test converting multigraph to graph if no parallel edges found + G = nx.MultiGraph() + G.add_edges_from([("a", "b", 2), ("b", "c", 3)]) # no multiedges + fname = tmp_path / "test.graphml" + self.writer(G, fname) + H = nx.read_graphml(fname) + assert not H.is_multigraph() + H = nx.read_graphml(fname, force_multigraph=True) + assert H.is_multigraph() + + # add a multiedge + G.add_edge("a", "b", "e-id") + fname = tmp_path / "test.graphml" + self.writer(G, fname) + H = nx.read_graphml(fname) + assert H.is_multigraph() + H = nx.read_graphml(fname, force_multigraph=True) + assert H.is_multigraph() + + def test_write_generate_edge_id_from_attribute(self, tmp_path): + from xml.etree.ElementTree import parse + + G = nx.Graph() + G.add_edges_from([("a", "b"), ("b", "c"), ("a", "c")]) + edge_attributes = {e: str(e) for e in G.edges} + nx.set_edge_attributes(G, edge_attributes, "eid") + fname = tmp_path / "test.graphml" + # set edge_id_from_attribute e.g. "eid" for write_graphml() + self.writer(G, fname, edge_id_from_attribute="eid") + # set edge_id_from_attribute e.g. "eid" for generate_graphml() + generator = nx.generate_graphml(G, edge_id_from_attribute="eid") + + H = nx.read_graphml(fname) + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + # NetworkX adds explicit edge "id" from file as attribute + nx.set_edge_attributes(G, edge_attributes, "id") + assert edges_equal(G.edges(data=True), H.edges(data=True)) + + tree = parse(fname) + children = list(tree.getroot()) + assert len(children) == 2 + edge_ids = [ + edge.attrib["id"] + for edge in tree.getroot().findall( + ".//{http://graphml.graphdrawing.org/xmlns}edge" + ) + ] + # verify edge id value is equal to specified attribute value + assert sorted(edge_ids) == sorted(edge_attributes.values()) + + # check graphml generated from generate_graphml() + data = "".join(generator) + J = nx.parse_graphml(data) + assert sorted(G.nodes()) == sorted(J.nodes()) + assert sorted(G.edges()) == sorted(J.edges()) + # NetworkX adds explicit edge "id" from file as attribute + nx.set_edge_attributes(G, edge_attributes, "id") + assert edges_equal(G.edges(data=True), J.edges(data=True)) + + def test_multigraph_write_generate_edge_id_from_attribute(self, tmp_path): + from xml.etree.ElementTree import parse + + G = nx.MultiGraph() + G.add_edges_from([("a", "b"), ("b", "c"), ("a", "c"), ("a", "b")]) + edge_attributes = {e: str(e) for e in G.edges} + nx.set_edge_attributes(G, edge_attributes, "eid") + fname = tmp_path / "test.graphml" + # set edge_id_from_attribute e.g. "eid" for write_graphml() + self.writer(G, fname, edge_id_from_attribute="eid") + # set edge_id_from_attribute e.g. "eid" for generate_graphml() + generator = nx.generate_graphml(G, edge_id_from_attribute="eid") + + H = nx.read_graphml(fname) + assert H.is_multigraph() + H = nx.read_graphml(fname, force_multigraph=True) + assert H.is_multigraph() + + assert nodes_equal(G.nodes(), H.nodes()) + assert edges_equal(G.edges(), H.edges()) + assert sorted(data.get("eid") for u, v, data in H.edges(data=True)) == sorted( + edge_attributes.values() + ) + # NetworkX uses edge_ids as keys in multigraphs if no key + assert sorted(key for u, v, key in H.edges(keys=True)) == sorted( + edge_attributes.values() + ) + + tree = parse(fname) + children = list(tree.getroot()) + assert len(children) == 2 + edge_ids = [ + edge.attrib["id"] + for edge in tree.getroot().findall( + ".//{http://graphml.graphdrawing.org/xmlns}edge" + ) + ] + # verify edge id value is equal to specified attribute value + assert sorted(edge_ids) == sorted(edge_attributes.values()) + + # check graphml generated from generate_graphml() + graphml_data = "".join(generator) + J = nx.parse_graphml(graphml_data) + assert J.is_multigraph() + + assert nodes_equal(G.nodes(), J.nodes()) + assert edges_equal(G.edges(), J.edges()) + assert sorted(data.get("eid") for u, v, data in J.edges(data=True)) == sorted( + edge_attributes.values() + ) + # NetworkX uses edge_ids as keys in multigraphs if no key + assert sorted(key for u, v, key in J.edges(keys=True)) == sorted( + edge_attributes.values() + ) + + def test_numpy_float64(self, tmp_path): + np = pytest.importorskip("numpy") + wt = np.float64(3.4) + G = nx.Graph([(1, 2, {"weight": wt})]) + fname = tmp_path / "test.graphml" + self.writer(G, fname) + H = nx.read_graphml(fname, node_type=int) + assert G.edges == H.edges + wtG = G[1][2]["weight"] + wtH = H[1][2]["weight"] + assert wtG == pytest.approx(wtH, abs=1e-6) + assert type(wtG) == np.float64 + assert type(wtH) == float + + def test_numpy_float32(self, tmp_path): + np = pytest.importorskip("numpy") + wt = np.float32(3.4) + G = nx.Graph([(1, 2, {"weight": wt})]) + fname = tmp_path / "test.graphml" + self.writer(G, fname) + H = nx.read_graphml(fname, node_type=int) + assert G.edges == H.edges + wtG = G[1][2]["weight"] + wtH = H[1][2]["weight"] + assert wtG == pytest.approx(wtH, abs=1e-6) + assert type(wtG) == np.float32 + assert type(wtH) == float + + def test_numpy_float64_inference(self, tmp_path): + np = pytest.importorskip("numpy") + G = self.attribute_numeric_type_graph + G.edges[("n1", "n1")]["weight"] = np.float64(1.1) + fname = tmp_path / "test.graphml" + self.writer(G, fname, infer_numeric_types=True) + H = nx.read_graphml(fname) + assert G._adj == H._adj + + def test_unicode_attributes(self, tmp_path): + G = nx.Graph() + name1 = chr(2344) + chr(123) + chr(6543) + name2 = chr(5543) + chr(1543) + chr(324) + node_type = str + G.add_edge(name1, "Radiohead", foo=name2) + fname = tmp_path / "test.graphml" + self.writer(G, fname) + H = nx.read_graphml(fname, node_type=node_type) + assert G._adj == H._adj + + def test_unicode_escape(self): + # test for handling json escaped strings in python 2 Issue #1880 + import json + + a = {"a": '{"a": "123"}'} # an object with many chars to escape + sa = json.dumps(a) + G = nx.Graph() + G.graph["test"] = sa + fh = io.BytesIO() + self.writer(G, fh) + fh.seek(0) + H = nx.read_graphml(fh) + assert G.graph["test"] == H.graph["test"] + + +class TestXMLGraphML(TestWriteGraphML): + writer = staticmethod(nx.write_graphml_xml) + + @classmethod + def setup_class(cls): + TestWriteGraphML.setup_class() + + +def test_exception_for_unsupported_datatype_node_attr(): + """Test that a detailed exception is raised when an attribute is of a type + not supported by GraphML, e.g. a list""" + pytest.importorskip("lxml.etree") + # node attribute + G = nx.Graph() + G.add_node(0, my_list_attribute=[0, 1, 2]) + fh = io.BytesIO() + with pytest.raises(TypeError, match="GraphML does not support"): + nx.write_graphml(G, fh) + + +def test_exception_for_unsupported_datatype_edge_attr(): + """Test that a detailed exception is raised when an attribute is of a type + not supported by GraphML, e.g. a list""" + pytest.importorskip("lxml.etree") + # edge attribute + G = nx.Graph() + G.add_edge(0, 1, my_list_attribute=[0, 1, 2]) + fh = io.BytesIO() + with pytest.raises(TypeError, match="GraphML does not support"): + nx.write_graphml(G, fh) + + +def test_exception_for_unsupported_datatype_graph_attr(): + """Test that a detailed exception is raised when an attribute is of a type + not supported by GraphML, e.g. a list""" + pytest.importorskip("lxml.etree") + # graph attribute + G = nx.Graph() + G.graph["my_list_attribute"] = [0, 1, 2] + fh = io.BytesIO() + with pytest.raises(TypeError, match="GraphML does not support"): + nx.write_graphml(G, fh) + + +def test_empty_attribute(): + """Tests that a GraphML string with an empty attribute can be parsed + correctly.""" + s = """ + + + + + + aaa + bbb + + + ccc + + + + """ + fh = io.BytesIO(s.encode("UTF-8")) + G = nx.read_graphml(fh) + assert G.nodes["0"] == {"foo": "aaa", "bar": "bbb"} + assert G.nodes["1"] == {"foo": "ccc", "bar": ""} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_leda.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_leda.py new file mode 100644 index 0000000000000000000000000000000000000000..8ac5ecc34bf9b42bd49e316bdc72e0e56c76a616 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_leda.py @@ -0,0 +1,30 @@ +import io + +import networkx as nx + + +class TestLEDA: + def test_parse_leda(self): + data = """#header section \nLEDA.GRAPH \nstring\nint\n-1\n#nodes section\n5 \n|{v1}| \n|{v2}| \n|{v3}| \n|{v4}| \n|{v5}| \n\n#edges section\n7 \n1 2 0 |{4}| \n1 3 0 |{3}| \n2 3 0 |{2}| \n3 4 0 |{3}| \n3 5 0 |{7}| \n4 5 0 |{6}| \n5 1 0 |{foo}|""" + G = nx.parse_leda(data) + G = nx.parse_leda(data.split("\n")) + assert sorted(G.nodes()) == ["v1", "v2", "v3", "v4", "v5"] + assert sorted(G.edges(data=True)) == [ + ("v1", "v2", {"label": "4"}), + ("v1", "v3", {"label": "3"}), + ("v2", "v3", {"label": "2"}), + ("v3", "v4", {"label": "3"}), + ("v3", "v5", {"label": "7"}), + ("v4", "v5", {"label": "6"}), + ("v5", "v1", {"label": "foo"}), + ] + + def test_read_LEDA(self): + fh = io.BytesIO() + data = """#header section \nLEDA.GRAPH \nstring\nint\n-1\n#nodes section\n5 \n|{v1}| \n|{v2}| \n|{v3}| \n|{v4}| \n|{v5}| \n\n#edges section\n7 \n1 2 0 |{4}| \n1 3 0 |{3}| \n2 3 0 |{2}| \n3 4 0 |{3}| \n3 5 0 |{7}| \n4 5 0 |{6}| \n5 1 0 |{foo}|""" + G = nx.parse_leda(data) + fh.write(data.encode("UTF-8")) + fh.seek(0) + Gin = nx.read_leda(fh) + assert sorted(G.nodes()) == sorted(Gin.nodes()) + assert sorted(G.edges()) == sorted(Gin.edges()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_p2g.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_p2g.py new file mode 100644 index 0000000000000000000000000000000000000000..e4c50de7f382f62d4ae6e0cc0443e480487c65e2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_p2g.py @@ -0,0 +1,62 @@ +import io + +import networkx as nx +from networkx.readwrite.p2g import read_p2g, write_p2g +from networkx.utils import edges_equal + + +class TestP2G: + @classmethod + def setup_class(cls): + cls.G = nx.Graph(name="test") + e = [("a", "b"), ("b", "c"), ("c", "d"), ("d", "e"), ("e", "f"), ("a", "f")] + cls.G.add_edges_from(e) + cls.G.add_node("g") + cls.DG = nx.DiGraph(cls.G) + + def test_read_p2g(self): + s = b"""\ +name +3 4 +a +1 2 +b + +c +0 2 +""" + bytesIO = io.BytesIO(s) + G = read_p2g(bytesIO) + assert G.name == "name" + assert sorted(G) == ["a", "b", "c"] + edges = [(str(u), str(v)) for u, v in G.edges()] + assert edges_equal(G.edges(), [("a", "c"), ("a", "b"), ("c", "a"), ("c", "c")]) + + def test_write_p2g(self): + s = b"""foo +3 2 +1 +1 +2 +2 +3 + +""" + fh = io.BytesIO() + G = nx.DiGraph() + G.name = "foo" + G.add_edges_from([(1, 2), (2, 3)]) + write_p2g(G, fh) + fh.seek(0) + r = fh.read() + assert r == s + + def test_write_read_p2g(self): + fh = io.BytesIO() + G = nx.DiGraph() + G.name = "foo" + G.add_edges_from([("a", "b"), ("b", "c")]) + write_p2g(G, fh) + fh.seek(0) + H = read_p2g(fh) + assert edges_equal(G.edges(), H.edges()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_pajek.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_pajek.py new file mode 100644 index 0000000000000000000000000000000000000000..317ebe8e57888837594db43ddae56bedf85173a6 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_pajek.py @@ -0,0 +1,126 @@ +""" +Pajek tests +""" + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + + +class TestPajek: + @classmethod + def setup_class(cls): + cls.data = """*network Tralala\n*vertices 4\n 1 "A1" 0.0938 0.0896 ellipse x_fact 1 y_fact 1\n 2 "Bb" 0.8188 0.2458 ellipse x_fact 1 y_fact 1\n 3 "C" 0.3688 0.7792 ellipse x_fact 1\n 4 "D2" 0.9583 0.8563 ellipse x_fact 1\n*arcs\n1 1 1 h2 0 w 3 c Blue s 3 a1 -130 k1 0.6 a2 -130 k2 0.6 ap 0.5 l "Bezier loop" lc BlueViolet fos 20 lr 58 lp 0.3 la 360\n2 1 1 h2 0 a1 120 k1 1.3 a2 -120 k2 0.3 ap 25 l "Bezier arc" lphi 270 la 180 lr 19 lp 0.5\n1 2 1 h2 0 a1 40 k1 2.8 a2 30 k2 0.8 ap 25 l "Bezier arc" lphi 90 la 0 lp 0.65\n4 2 -1 h2 0 w 1 k1 -2 k2 250 ap 25 l "Circular arc" c Red lc OrangeRed\n3 4 1 p Dashed h2 0 w 2 c OliveGreen ap 25 l "Straight arc" lc PineGreen\n1 3 1 p Dashed h2 0 w 5 k1 -1 k2 -20 ap 25 l "Oval arc" c Brown lc Black\n3 3 -1 h1 6 w 1 h2 12 k1 -2 k2 -15 ap 0.5 l "Circular loop" c Red lc OrangeRed lphi 270 la 180""" + cls.G = nx.MultiDiGraph() + cls.G.add_nodes_from(["A1", "Bb", "C", "D2"]) + cls.G.add_edges_from( + [ + ("A1", "A1"), + ("A1", "Bb"), + ("A1", "C"), + ("Bb", "A1"), + ("C", "C"), + ("C", "D2"), + ("D2", "Bb"), + ] + ) + + cls.G.graph["name"] = "Tralala" + + def test_parse_pajek_simple(self): + # Example without node positions or shape + data = """*Vertices 2\n1 "1"\n2 "2"\n*Edges\n1 2\n2 1""" + G = nx.parse_pajek(data) + assert sorted(G.nodes()) == ["1", "2"] + assert edges_equal(G.edges(), [("1", "2"), ("1", "2")]) + + def test_parse_pajek(self): + G = nx.parse_pajek(self.data) + assert sorted(G.nodes()) == ["A1", "Bb", "C", "D2"] + assert edges_equal( + G.edges(), + [ + ("A1", "A1"), + ("A1", "Bb"), + ("A1", "C"), + ("Bb", "A1"), + ("C", "C"), + ("C", "D2"), + ("D2", "Bb"), + ], + ) + + def test_parse_pajet_mat(self): + data = """*Vertices 3\n1 "one"\n2 "two"\n3 "three"\n*Matrix\n1 1 0\n0 1 0\n0 1 0\n""" + G = nx.parse_pajek(data) + assert set(G.nodes()) == {"one", "two", "three"} + assert G.nodes["two"] == {"id": "2"} + assert edges_equal( + set(G.edges()), + {("one", "one"), ("two", "one"), ("two", "two"), ("two", "three")}, + ) + + def test_read_pajek(self, tmp_path): + G = nx.parse_pajek(self.data) + # Read data from file + fname = tmp_path / "test.pjk" + with open(fname, "wb") as fh: + fh.write(self.data.encode("UTF-8")) + + Gin = nx.read_pajek(fname) + assert sorted(G.nodes()) == sorted(Gin.nodes()) + assert edges_equal(G.edges(), Gin.edges()) + assert self.G.graph == Gin.graph + for n in G: + assert G.nodes[n] == Gin.nodes[n] + + def test_write_pajek(self): + import io + + G = nx.parse_pajek(self.data) + fh = io.BytesIO() + nx.write_pajek(G, fh) + fh.seek(0) + H = nx.read_pajek(fh) + assert nodes_equal(list(G), list(H)) + assert edges_equal(list(G.edges()), list(H.edges())) + # Graph name is left out for now, therefore it is not tested. + # assert_equal(G.graph, H.graph) + + def test_ignored_attribute(self): + import io + + G = nx.Graph() + fh = io.BytesIO() + G.add_node(1, int_attr=1) + G.add_node(2, empty_attr=" ") + G.add_edge(1, 2, int_attr=2) + G.add_edge(2, 3, empty_attr=" ") + + import warnings + + with warnings.catch_warnings(record=True) as w: + nx.write_pajek(G, fh) + assert len(w) == 4 + + def test_noname(self): + # Make sure we can parse a line such as: *network + # Issue #952 + line = "*network\n" + other_lines = self.data.split("\n")[1:] + data = line + "\n".join(other_lines) + G = nx.parse_pajek(data) + + def test_unicode(self): + import io + + G = nx.Graph() + name1 = chr(2344) + chr(123) + chr(6543) + name2 = chr(5543) + chr(1543) + chr(324) + G.add_edge(name1, "Radiohead", foo=name2) + fh = io.BytesIO() + nx.write_pajek(G, fh) + fh.seek(0) + H = nx.read_pajek(fh) + assert nodes_equal(list(G), list(H)) + assert edges_equal(list(G.edges()), list(H.edges())) + assert G.graph == H.graph diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_sparse6.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_sparse6.py new file mode 100644 index 0000000000000000000000000000000000000000..344ad0e45ff42daea5c7cf99c56411e57173ddfe --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_sparse6.py @@ -0,0 +1,166 @@ +from io import BytesIO + +import pytest + +import networkx as nx +from networkx.utils import edges_equal, nodes_equal + + +class TestSparseGraph6: + def test_from_sparse6_bytes(self): + data = b":Q___eDcdFcDeFcE`GaJ`IaHbKNbLM" + G = nx.from_sparse6_bytes(data) + assert nodes_equal( + sorted(G.nodes()), + [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], + ) + assert edges_equal( + G.edges(), + [ + (0, 1), + (0, 2), + (0, 3), + (1, 12), + (1, 14), + (2, 13), + (2, 15), + (3, 16), + (3, 17), + (4, 7), + (4, 9), + (4, 11), + (5, 6), + (5, 8), + (5, 9), + (6, 10), + (6, 11), + (7, 8), + (7, 10), + (8, 12), + (9, 15), + (10, 14), + (11, 13), + (12, 16), + (13, 17), + (14, 17), + (15, 16), + ], + ) + + def test_from_bytes_multigraph_graph(self): + graph_data = b":An" + G = nx.from_sparse6_bytes(graph_data) + assert type(G) == nx.Graph + multigraph_data = b":Ab" + M = nx.from_sparse6_bytes(multigraph_data) + assert type(M) == nx.MultiGraph + + def test_read_sparse6(self): + data = b":Q___eDcdFcDeFcE`GaJ`IaHbKNbLM" + G = nx.from_sparse6_bytes(data) + fh = BytesIO(data) + Gin = nx.read_sparse6(fh) + assert nodes_equal(G.nodes(), Gin.nodes()) + assert edges_equal(G.edges(), Gin.edges()) + + def test_read_many_graph6(self): + # Read many graphs into list + data = b":Q___eDcdFcDeFcE`GaJ`IaHbKNbLM\n" b":Q___dCfDEdcEgcbEGbFIaJ`JaHN`IM" + fh = BytesIO(data) + glist = nx.read_sparse6(fh) + assert len(glist) == 2 + for G in glist: + assert nodes_equal( + G.nodes(), + [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], + ) + + +class TestWriteSparse6: + """Unit tests for writing graphs in the sparse6 format. + + Most of the test cases were checked against the sparse6 encoder in Sage. + + """ + + def test_null_graph(self): + G = nx.null_graph() + result = BytesIO() + nx.write_sparse6(G, result) + assert result.getvalue() == b">>sparse6<<:?\n" + + def test_trivial_graph(self): + G = nx.trivial_graph() + result = BytesIO() + nx.write_sparse6(G, result) + assert result.getvalue() == b">>sparse6<<:@\n" + + def test_empty_graph(self): + G = nx.empty_graph(5) + result = BytesIO() + nx.write_sparse6(G, result) + assert result.getvalue() == b">>sparse6<<:D\n" + + def test_large_empty_graph(self): + G = nx.empty_graph(68) + result = BytesIO() + nx.write_sparse6(G, result) + assert result.getvalue() == b">>sparse6<<:~?@C\n" + + def test_very_large_empty_graph(self): + G = nx.empty_graph(258049) + result = BytesIO() + nx.write_sparse6(G, result) + assert result.getvalue() == b">>sparse6<<:~~???~?@\n" + + def test_complete_graph(self): + G = nx.complete_graph(4) + result = BytesIO() + nx.write_sparse6(G, result) + assert result.getvalue() == b">>sparse6<<:CcKI\n" + + def test_no_header(self): + G = nx.complete_graph(4) + result = BytesIO() + nx.write_sparse6(G, result, header=False) + assert result.getvalue() == b":CcKI\n" + + def test_padding(self): + codes = (b":Cdv", b":DaYn", b":EaYnN", b":FaYnL", b":GaYnLz") + for n, code in enumerate(codes, start=4): + G = nx.path_graph(n) + result = BytesIO() + nx.write_sparse6(G, result, header=False) + assert result.getvalue() == code + b"\n" + + def test_complete_bipartite(self): + G = nx.complete_bipartite_graph(6, 9) + result = BytesIO() + nx.write_sparse6(G, result) + # Compared with sage + expected = b">>sparse6<<:Nk" + b"?G`cJ" * 9 + b"\n" + assert result.getvalue() == expected + + def test_read_write_inverse(self): + for i in list(range(13)) + [31, 47, 62, 63, 64, 72]: + m = min(2 * i, i * i // 2) + g = nx.random_graphs.gnm_random_graph(i, m, seed=i) + gstr = BytesIO() + nx.write_sparse6(g, gstr, header=False) + # Strip the trailing newline. + gstr = gstr.getvalue().rstrip() + g2 = nx.from_sparse6_bytes(gstr) + assert g2.order() == g.order() + assert edges_equal(g2.edges(), g.edges()) + + def test_no_directed_graphs(self): + with pytest.raises(nx.NetworkXNotImplemented): + nx.write_sparse6(nx.DiGraph(), BytesIO()) + + def test_write_path(self, tmp_path): + # Get a valid temporary file name + fullfilename = str(tmp_path / "test.s6") + # file should be closed now, so write_sparse6 can open it + nx.write_sparse6(nx.null_graph(), fullfilename) + with open(fullfilename, mode="rb") as fh: + assert fh.read() == b">>sparse6<<:?\n" diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_text.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_text.py new file mode 100644 index 0000000000000000000000000000000000000000..b2b744828c916a37784059c869cc990a2473305a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/tests/test_text.py @@ -0,0 +1,1742 @@ +import random +from itertools import product +from textwrap import dedent + +import pytest + +import networkx as nx + + +def test_generate_network_text_forest_directed(): + # Create a directed forest with labels + graph = nx.balanced_tree(r=2, h=2, create_using=nx.DiGraph) + for node in graph.nodes: + graph.nodes[node]["label"] = "node_" + chr(ord("a") + node) + + node_target = dedent( + """ + ╙── 0 + ├─╼ 1 + │ ├─╼ 3 + │ └─╼ 4 + └─╼ 2 + ├─╼ 5 + └─╼ 6 + """ + ).strip() + + label_target = dedent( + """ + ╙── node_a + ├─╼ node_b + │ ├─╼ node_d + │ └─╼ node_e + └─╼ node_c + ├─╼ node_f + └─╼ node_g + """ + ).strip() + + # Basic node case + ret = nx.generate_network_text(graph, with_labels=False) + assert "\n".join(ret) == node_target + + # Basic label case + ret = nx.generate_network_text(graph, with_labels=True) + assert "\n".join(ret) == label_target + + +def test_write_network_text_empty_graph(): + def _graph_str(g, **kw): + printbuf = [] + nx.write_network_text(g, printbuf.append, end="", **kw) + return "\n".join(printbuf) + + assert _graph_str(nx.DiGraph()) == "╙" + assert _graph_str(nx.Graph()) == "╙" + assert _graph_str(nx.DiGraph(), ascii_only=True) == "+" + assert _graph_str(nx.Graph(), ascii_only=True) == "+" + + +def test_write_network_text_within_forest_glyph(): + g = nx.DiGraph() + g.add_nodes_from([1, 2, 3, 4]) + g.add_edge(2, 4) + lines = [] + write = lines.append + nx.write_network_text(g, path=write, end="") + nx.write_network_text(g, path=write, ascii_only=True, end="") + text = "\n".join(lines) + target = dedent( + """ + ╟── 1 + ╟── 2 + ╎ └─╼ 4 + ╙── 3 + +-- 1 + +-- 2 + : L-> 4 + +-- 3 + """ + ).strip() + assert text == target + + +def test_generate_network_text_directed_multi_tree(): + tree1 = nx.balanced_tree(r=2, h=2, create_using=nx.DiGraph) + tree2 = nx.balanced_tree(r=2, h=2, create_using=nx.DiGraph) + forest = nx.disjoint_union_all([tree1, tree2]) + ret = "\n".join(nx.generate_network_text(forest)) + + target = dedent( + """ + ╟── 0 + ╎ ├─╼ 1 + ╎ │ ├─╼ 3 + ╎ │ └─╼ 4 + ╎ └─╼ 2 + ╎ ├─╼ 5 + ╎ └─╼ 6 + ╙── 7 + ├─╼ 8 + │ ├─╼ 10 + │ └─╼ 11 + └─╼ 9 + ├─╼ 12 + └─╼ 13 + """ + ).strip() + assert ret == target + + tree3 = nx.balanced_tree(r=2, h=2, create_using=nx.DiGraph) + forest = nx.disjoint_union_all([tree1, tree2, tree3]) + ret = "\n".join(nx.generate_network_text(forest, sources=[0, 14, 7])) + + target = dedent( + """ + ╟── 0 + ╎ ├─╼ 1 + ╎ │ ├─╼ 3 + ╎ │ └─╼ 4 + ╎ └─╼ 2 + ╎ ├─╼ 5 + ╎ └─╼ 6 + ╟── 14 + ╎ ├─╼ 15 + ╎ │ ├─╼ 17 + ╎ │ └─╼ 18 + ╎ └─╼ 16 + ╎ ├─╼ 19 + ╎ └─╼ 20 + ╙── 7 + ├─╼ 8 + │ ├─╼ 10 + │ └─╼ 11 + └─╼ 9 + ├─╼ 12 + └─╼ 13 + """ + ).strip() + assert ret == target + + ret = "\n".join( + nx.generate_network_text(forest, sources=[0, 14, 7], ascii_only=True) + ) + + target = dedent( + """ + +-- 0 + : |-> 1 + : | |-> 3 + : | L-> 4 + : L-> 2 + : |-> 5 + : L-> 6 + +-- 14 + : |-> 15 + : | |-> 17 + : | L-> 18 + : L-> 16 + : |-> 19 + : L-> 20 + +-- 7 + |-> 8 + | |-> 10 + | L-> 11 + L-> 9 + |-> 12 + L-> 13 + """ + ).strip() + assert ret == target + + +def test_generate_network_text_undirected_multi_tree(): + tree1 = nx.balanced_tree(r=2, h=2, create_using=nx.Graph) + tree2 = nx.balanced_tree(r=2, h=2, create_using=nx.Graph) + tree2 = nx.relabel_nodes(tree2, {n: n + len(tree1) for n in tree2.nodes}) + forest = nx.union(tree1, tree2) + ret = "\n".join(nx.generate_network_text(forest, sources=[0, 7])) + + target = dedent( + """ + ╟── 0 + ╎ ├── 1 + ╎ │ ├── 3 + ╎ │ └── 4 + ╎ └── 2 + ╎ ├── 5 + ╎ └── 6 + ╙── 7 + ├── 8 + │ ├── 10 + │ └── 11 + └── 9 + ├── 12 + └── 13 + """ + ).strip() + assert ret == target + + ret = "\n".join(nx.generate_network_text(forest, sources=[0, 7], ascii_only=True)) + + target = dedent( + """ + +-- 0 + : |-- 1 + : | |-- 3 + : | L-- 4 + : L-- 2 + : |-- 5 + : L-- 6 + +-- 7 + |-- 8 + | |-- 10 + | L-- 11 + L-- 9 + |-- 12 + L-- 13 + """ + ).strip() + assert ret == target + + +def test_generate_network_text_forest_undirected(): + # Create a directed forest + graph = nx.balanced_tree(r=2, h=2, create_using=nx.Graph) + + node_target0 = dedent( + """ + ╙── 0 + ├── 1 + │ ├── 3 + │ └── 4 + └── 2 + ├── 5 + └── 6 + """ + ).strip() + + # defined starting point + ret = "\n".join(nx.generate_network_text(graph, sources=[0])) + assert ret == node_target0 + + # defined starting point + node_target2 = dedent( + """ + ╙── 2 + ├── 0 + │ └── 1 + │ ├── 3 + │ └── 4 + ├── 5 + └── 6 + """ + ).strip() + ret = "\n".join(nx.generate_network_text(graph, sources=[2])) + assert ret == node_target2 + + +def test_generate_network_text_overspecified_sources(): + """ + When sources are directly specified, we won't be able to determine when we + are in the last component, so there will always be a trailing, leftmost + pipe. + """ + graph = nx.disjoint_union_all( + [ + nx.balanced_tree(r=2, h=1, create_using=nx.DiGraph), + nx.balanced_tree(r=1, h=2, create_using=nx.DiGraph), + nx.balanced_tree(r=2, h=1, create_using=nx.DiGraph), + ] + ) + + # defined starting point + target1 = dedent( + """ + ╟── 0 + ╎ ├─╼ 1 + ╎ └─╼ 2 + ╟── 3 + ╎ └─╼ 4 + ╎ └─╼ 5 + ╟── 6 + ╎ ├─╼ 7 + ╎ └─╼ 8 + """ + ).strip() + + target2 = dedent( + """ + ╟── 0 + ╎ ├─╼ 1 + ╎ └─╼ 2 + ╟── 3 + ╎ └─╼ 4 + ╎ └─╼ 5 + ╙── 6 + ├─╼ 7 + └─╼ 8 + """ + ).strip() + + got1 = "\n".join(nx.generate_network_text(graph, sources=graph.nodes)) + got2 = "\n".join(nx.generate_network_text(graph)) + assert got1 == target1 + assert got2 == target2 + + +def test_write_network_text_iterative_add_directed_edges(): + """ + Walk through the cases going from a disconnected to fully connected graph + """ + graph = nx.DiGraph() + graph.add_nodes_from([1, 2, 3, 4]) + lines = [] + write = lines.append + write("--- initial state ---") + nx.write_network_text(graph, path=write, end="") + for i, j in product(graph.nodes, graph.nodes): + write(f"--- add_edge({i}, {j}) ---") + graph.add_edge(i, j) + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + # defined starting point + target = dedent( + """ + --- initial state --- + ╟── 1 + ╟── 2 + ╟── 3 + ╙── 4 + --- add_edge(1, 1) --- + ╟── 1 ╾ 1 + ╎ └─╼ ... + ╟── 2 + ╟── 3 + ╙── 4 + --- add_edge(1, 2) --- + ╟── 1 ╾ 1 + ╎ ├─╼ 2 + ╎ └─╼ ... + ╟── 3 + ╙── 4 + --- add_edge(1, 3) --- + ╟── 1 ╾ 1 + ╎ ├─╼ 2 + ╎ ├─╼ 3 + ╎ └─╼ ... + ╙── 4 + --- add_edge(1, 4) --- + ╙── 1 ╾ 1 + ├─╼ 2 + ├─╼ 3 + ├─╼ 4 + └─╼ ... + --- add_edge(2, 1) --- + ╙── 2 ╾ 1 + └─╼ 1 ╾ 1 + ├─╼ 3 + ├─╼ 4 + └─╼ ... + --- add_edge(2, 2) --- + ╙── 1 ╾ 1, 2 + ├─╼ 2 ╾ 2 + │ └─╼ ... + ├─╼ 3 + ├─╼ 4 + └─╼ ... + --- add_edge(2, 3) --- + ╙── 1 ╾ 1, 2 + ├─╼ 2 ╾ 2 + │ ├─╼ 3 ╾ 1 + │ └─╼ ... + ├─╼ 4 + └─╼ ... + --- add_edge(2, 4) --- + ╙── 1 ╾ 1, 2 + ├─╼ 2 ╾ 2 + │ ├─╼ 3 ╾ 1 + │ ├─╼ 4 ╾ 1 + │ └─╼ ... + └─╼ ... + --- add_edge(3, 1) --- + ╙── 2 ╾ 1, 2 + ├─╼ 1 ╾ 1, 3 + │ ├─╼ 3 ╾ 2 + │ │ └─╼ ... + │ ├─╼ 4 ╾ 2 + │ └─╼ ... + └─╼ ... + --- add_edge(3, 2) --- + ╙── 3 ╾ 1, 2 + ├─╼ 1 ╾ 1, 2 + │ ├─╼ 2 ╾ 2, 3 + │ │ ├─╼ 4 ╾ 1 + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(3, 3) --- + ╙── 1 ╾ 1, 2, 3 + ├─╼ 2 ╾ 2, 3 + │ ├─╼ 3 ╾ 1, 3 + │ │ └─╼ ... + │ ├─╼ 4 ╾ 1 + │ └─╼ ... + └─╼ ... + --- add_edge(3, 4) --- + ╙── 1 ╾ 1, 2, 3 + ├─╼ 2 ╾ 2, 3 + │ ├─╼ 3 ╾ 1, 3 + │ │ ├─╼ 4 ╾ 1, 2 + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(4, 1) --- + ╙── 2 ╾ 1, 2, 3 + ├─╼ 1 ╾ 1, 3, 4 + │ ├─╼ 3 ╾ 2, 3 + │ │ ├─╼ 4 ╾ 1, 2 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(4, 2) --- + ╙── 3 ╾ 1, 2, 3 + ├─╼ 1 ╾ 1, 2, 4 + │ ├─╼ 2 ╾ 2, 3, 4 + │ │ ├─╼ 4 ╾ 1, 3 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(4, 3) --- + ╙── 4 ╾ 1, 2, 3 + ├─╼ 1 ╾ 1, 2, 3 + │ ├─╼ 2 ╾ 2, 3, 4 + │ │ ├─╼ 3 ╾ 1, 3, 4 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(4, 4) --- + ╙── 1 ╾ 1, 2, 3, 4 + ├─╼ 2 ╾ 2, 3, 4 + │ ├─╼ 3 ╾ 1, 3, 4 + │ │ ├─╼ 4 ╾ 1, 2, 4 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + """ + ).strip() + assert target == text + + +def test_write_network_text_iterative_add_undirected_edges(): + """ + Walk through the cases going from a disconnected to fully connected graph + """ + graph = nx.Graph() + graph.add_nodes_from([1, 2, 3, 4]) + lines = [] + write = lines.append + write("--- initial state ---") + nx.write_network_text(graph, path=write, end="") + for i, j in product(graph.nodes, graph.nodes): + if i == j: + continue + write(f"--- add_edge({i}, {j}) ---") + graph.add_edge(i, j) + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + --- initial state --- + ╟── 1 + ╟── 2 + ╟── 3 + ╙── 4 + --- add_edge(1, 2) --- + ╟── 3 + ╟── 4 + ╙── 1 + └── 2 + --- add_edge(1, 3) --- + ╟── 4 + ╙── 2 + └── 1 + └── 3 + --- add_edge(1, 4) --- + ╙── 2 + └── 1 + ├── 3 + └── 4 + --- add_edge(2, 1) --- + ╙── 2 + └── 1 + ├── 3 + └── 4 + --- add_edge(2, 3) --- + ╙── 4 + └── 1 + ├── 2 + │ └── 3 ─ 1 + └── ... + --- add_edge(2, 4) --- + ╙── 3 + ├── 1 + │ ├── 2 ─ 3 + │ │ └── 4 ─ 1 + │ └── ... + └── ... + --- add_edge(3, 1) --- + ╙── 3 + ├── 1 + │ ├── 2 ─ 3 + │ │ └── 4 ─ 1 + │ └── ... + └── ... + --- add_edge(3, 2) --- + ╙── 3 + ├── 1 + │ ├── 2 ─ 3 + │ │ └── 4 ─ 1 + │ └── ... + └── ... + --- add_edge(3, 4) --- + ╙── 1 + ├── 2 + │ ├── 3 ─ 1 + │ │ └── 4 ─ 1, 2 + │ └── ... + └── ... + --- add_edge(4, 1) --- + ╙── 1 + ├── 2 + │ ├── 3 ─ 1 + │ │ └── 4 ─ 1, 2 + │ └── ... + └── ... + --- add_edge(4, 2) --- + ╙── 1 + ├── 2 + │ ├── 3 ─ 1 + │ │ └── 4 ─ 1, 2 + │ └── ... + └── ... + --- add_edge(4, 3) --- + ╙── 1 + ├── 2 + │ ├── 3 ─ 1 + │ │ └── 4 ─ 1, 2 + │ └── ... + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_iterative_add_random_directed_edges(): + """ + Walk through the cases going from a disconnected to fully connected graph + """ + + rng = random.Random(724466096) + graph = nx.DiGraph() + graph.add_nodes_from([1, 2, 3, 4, 5]) + possible_edges = list(product(graph.nodes, graph.nodes)) + rng.shuffle(possible_edges) + graph.add_edges_from(possible_edges[0:8]) + lines = [] + write = lines.append + write("--- initial state ---") + nx.write_network_text(graph, path=write, end="") + for i, j in possible_edges[8:12]: + write(f"--- add_edge({i}, {j}) ---") + graph.add_edge(i, j) + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + --- initial state --- + ╙── 3 ╾ 5 + └─╼ 2 ╾ 2 + ├─╼ 4 ╾ 4 + │ ├─╼ 5 + │ │ ├─╼ 1 ╾ 1 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(4, 1) --- + ╙── 3 ╾ 5 + └─╼ 2 ╾ 2 + ├─╼ 4 ╾ 4 + │ ├─╼ 5 + │ │ ├─╼ 1 ╾ 1, 4 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(2, 1) --- + ╙── 3 ╾ 5 + └─╼ 2 ╾ 2 + ├─╼ 4 ╾ 4 + │ ├─╼ 5 + │ │ ├─╼ 1 ╾ 1, 4, 2 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(5, 2) --- + ╙── 3 ╾ 5 + └─╼ 2 ╾ 2, 5 + ├─╼ 4 ╾ 4 + │ ├─╼ 5 + │ │ ├─╼ 1 ╾ 1, 4, 2 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- add_edge(1, 5) --- + ╙── 3 ╾ 5 + └─╼ 2 ╾ 2, 5 + ├─╼ 4 ╾ 4 + │ ├─╼ 5 ╾ 1 + │ │ ├─╼ 1 ╾ 1, 4, 2 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + + """ + ).strip() + assert target == text + + +def test_write_network_text_nearly_forest(): + g = nx.DiGraph() + g.add_edge(1, 2) + g.add_edge(1, 5) + g.add_edge(2, 3) + g.add_edge(3, 4) + g.add_edge(5, 6) + g.add_edge(6, 7) + g.add_edge(6, 8) + orig = g.copy() + g.add_edge(1, 8) # forward edge + g.add_edge(4, 2) # back edge + g.add_edge(6, 3) # cross edge + lines = [] + write = lines.append + write("--- directed case ---") + nx.write_network_text(orig, path=write, end="") + write("--- add (1, 8), (4, 2), (6, 3) ---") + nx.write_network_text(g, path=write, end="") + write("--- undirected case ---") + nx.write_network_text(orig.to_undirected(), path=write, sources=[1], end="") + write("--- add (1, 8), (4, 2), (6, 3) ---") + nx.write_network_text(g.to_undirected(), path=write, sources=[1], end="") + text = "\n".join(lines) + target = dedent( + """ + --- directed case --- + ╙── 1 + ├─╼ 2 + │ └─╼ 3 + │ └─╼ 4 + └─╼ 5 + └─╼ 6 + ├─╼ 7 + └─╼ 8 + --- add (1, 8), (4, 2), (6, 3) --- + ╙── 1 + ├─╼ 2 ╾ 4 + │ └─╼ 3 ╾ 6 + │ └─╼ 4 + │ └─╼ ... + ├─╼ 5 + │ └─╼ 6 + │ ├─╼ 7 + │ ├─╼ 8 ╾ 1 + │ └─╼ ... + └─╼ ... + --- undirected case --- + ╙── 1 + ├── 2 + │ └── 3 + │ └── 4 + └── 5 + └── 6 + ├── 7 + └── 8 + --- add (1, 8), (4, 2), (6, 3) --- + ╙── 1 + ├── 2 + │ ├── 3 + │ │ ├── 4 ─ 2 + │ │ └── 6 + │ │ ├── 5 ─ 1 + │ │ ├── 7 + │ │ └── 8 ─ 1 + │ └── ... + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_complete_graph_ascii_only(): + graph = nx.generators.complete_graph(5, create_using=nx.DiGraph) + lines = [] + write = lines.append + write("--- directed case ---") + nx.write_network_text(graph, path=write, ascii_only=True, end="") + write("--- undirected case ---") + nx.write_network_text(graph.to_undirected(), path=write, ascii_only=True, end="") + text = "\n".join(lines) + target = dedent( + """ + --- directed case --- + +-- 0 <- 1, 2, 3, 4 + |-> 1 <- 2, 3, 4 + | |-> 2 <- 0, 3, 4 + | | |-> 3 <- 0, 1, 4 + | | | |-> 4 <- 0, 1, 2 + | | | | L-> ... + | | | L-> ... + | | L-> ... + | L-> ... + L-> ... + --- undirected case --- + +-- 0 + |-- 1 + | |-- 2 - 0 + | | |-- 3 - 0, 1 + | | | L-- 4 - 0, 1, 2 + | | L-- ... + | L-- ... + L-- ... + """ + ).strip() + assert target == text + + +def test_write_network_text_with_labels(): + graph = nx.generators.complete_graph(5, create_using=nx.DiGraph) + for n in graph.nodes: + graph.nodes[n]["label"] = f"Node(n={n})" + lines = [] + write = lines.append + nx.write_network_text(graph, path=write, with_labels=True, ascii_only=False, end="") + text = "\n".join(lines) + # Non trees with labels can get somewhat out of hand with network text + # because we need to immediately show every non-tree edge to the right + target = dedent( + """ + ╙── Node(n=0) ╾ Node(n=1), Node(n=2), Node(n=3), Node(n=4) + ├─╼ Node(n=1) ╾ Node(n=2), Node(n=3), Node(n=4) + │ ├─╼ Node(n=2) ╾ Node(n=0), Node(n=3), Node(n=4) + │ │ ├─╼ Node(n=3) ╾ Node(n=0), Node(n=1), Node(n=4) + │ │ │ ├─╼ Node(n=4) ╾ Node(n=0), Node(n=1), Node(n=2) + │ │ │ │ └─╼ ... + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + """ + ).strip() + assert target == text + + +def test_write_network_text_complete_graphs(): + lines = [] + write = lines.append + for k in [0, 1, 2, 3, 4, 5]: + g = nx.generators.complete_graph(k) + write(f"--- undirected k={k} ---") + nx.write_network_text(g, path=write, end="") + + for k in [0, 1, 2, 3, 4, 5]: + g = nx.generators.complete_graph(k, nx.DiGraph) + write(f"--- directed k={k} ---") + nx.write_network_text(g, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + --- undirected k=0 --- + ╙ + --- undirected k=1 --- + ╙── 0 + --- undirected k=2 --- + ╙── 0 + └── 1 + --- undirected k=3 --- + ╙── 0 + ├── 1 + │ └── 2 ─ 0 + └── ... + --- undirected k=4 --- + ╙── 0 + ├── 1 + │ ├── 2 ─ 0 + │ │ └── 3 ─ 0, 1 + │ └── ... + └── ... + --- undirected k=5 --- + ╙── 0 + ├── 1 + │ ├── 2 ─ 0 + │ │ ├── 3 ─ 0, 1 + │ │ │ └── 4 ─ 0, 1, 2 + │ │ └── ... + │ └── ... + └── ... + --- directed k=0 --- + ╙ + --- directed k=1 --- + ╙── 0 + --- directed k=2 --- + ╙── 0 ╾ 1 + └─╼ 1 + └─╼ ... + --- directed k=3 --- + ╙── 0 ╾ 1, 2 + ├─╼ 1 ╾ 2 + │ ├─╼ 2 ╾ 0 + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- directed k=4 --- + ╙── 0 ╾ 1, 2, 3 + ├─╼ 1 ╾ 2, 3 + │ ├─╼ 2 ╾ 0, 3 + │ │ ├─╼ 3 ╾ 0, 1 + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- directed k=5 --- + ╙── 0 ╾ 1, 2, 3, 4 + ├─╼ 1 ╾ 2, 3, 4 + │ ├─╼ 2 ╾ 0, 3, 4 + │ │ ├─╼ 3 ╾ 0, 1, 4 + │ │ │ ├─╼ 4 ╾ 0, 1, 2 + │ │ │ │ └─╼ ... + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + """ + ).strip() + assert target == text + + +def test_write_network_text_multiple_sources(): + g = nx.DiGraph() + g.add_edge(1, 2) + g.add_edge(1, 3) + g.add_edge(2, 4) + g.add_edge(3, 5) + g.add_edge(3, 6) + g.add_edge(5, 4) + g.add_edge(4, 1) + g.add_edge(1, 5) + lines = [] + write = lines.append + # Use each node as the starting point to demonstrate how the representation + # changes. + nodes = sorted(g.nodes()) + for n in nodes: + write(f"--- source node: {n} ---") + nx.write_network_text(g, path=write, sources=[n], end="") + text = "\n".join(lines) + target = dedent( + """ + --- source node: 1 --- + ╙── 1 ╾ 4 + ├─╼ 2 + │ └─╼ 4 ╾ 5 + │ └─╼ ... + ├─╼ 3 + │ ├─╼ 5 ╾ 1 + │ │ └─╼ ... + │ └─╼ 6 + └─╼ ... + --- source node: 2 --- + ╙── 2 ╾ 1 + └─╼ 4 ╾ 5 + └─╼ 1 + ├─╼ 3 + │ ├─╼ 5 ╾ 1 + │ │ └─╼ ... + │ └─╼ 6 + └─╼ ... + --- source node: 3 --- + ╙── 3 ╾ 1 + ├─╼ 5 ╾ 1 + │ └─╼ 4 ╾ 2 + │ └─╼ 1 + │ ├─╼ 2 + │ │ └─╼ ... + │ └─╼ ... + └─╼ 6 + --- source node: 4 --- + ╙── 4 ╾ 2, 5 + └─╼ 1 + ├─╼ 2 + │ └─╼ ... + ├─╼ 3 + │ ├─╼ 5 ╾ 1 + │ │ └─╼ ... + │ └─╼ 6 + └─╼ ... + --- source node: 5 --- + ╙── 5 ╾ 3, 1 + └─╼ 4 ╾ 2 + └─╼ 1 + ├─╼ 2 + │ └─╼ ... + ├─╼ 3 + │ ├─╼ 6 + │ └─╼ ... + └─╼ ... + --- source node: 6 --- + ╙── 6 ╾ 3 + """ + ).strip() + assert target == text + + +def test_write_network_text_star_graph(): + graph = nx.star_graph(5, create_using=nx.Graph) + lines = [] + write = lines.append + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + ╙── 1 + └── 0 + ├── 2 + ├── 3 + ├── 4 + └── 5 + """ + ).strip() + assert target == text + + +def test_write_network_text_path_graph(): + graph = nx.path_graph(3, create_using=nx.Graph) + lines = [] + write = lines.append + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + ╙── 0 + └── 1 + └── 2 + """ + ).strip() + assert target == text + + +def test_write_network_text_lollipop_graph(): + graph = nx.lollipop_graph(4, 2, create_using=nx.Graph) + lines = [] + write = lines.append + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + ╙── 5 + └── 4 + └── 3 + ├── 0 + │ ├── 1 ─ 3 + │ │ └── 2 ─ 0, 3 + │ └── ... + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_wheel_graph(): + graph = nx.wheel_graph(7, create_using=nx.Graph) + lines = [] + write = lines.append + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + ╙── 1 + ├── 0 + │ ├── 2 ─ 1 + │ │ └── 3 ─ 0 + │ │ └── 4 ─ 0 + │ │ └── 5 ─ 0 + │ │ └── 6 ─ 0, 1 + │ └── ... + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_circular_ladder_graph(): + graph = nx.circular_ladder_graph(4, create_using=nx.Graph) + lines = [] + write = lines.append + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + ╙── 0 + ├── 1 + │ ├── 2 + │ │ ├── 3 ─ 0 + │ │ │ └── 7 + │ │ │ ├── 6 ─ 2 + │ │ │ │ └── 5 ─ 1 + │ │ │ │ └── 4 ─ 0, 7 + │ │ │ └── ... + │ │ └── ... + │ └── ... + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_dorogovtsev_goltsev_mendes_graph(): + graph = nx.dorogovtsev_goltsev_mendes_graph(4, create_using=nx.Graph) + lines = [] + write = lines.append + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + ╙── 15 + ├── 0 + │ ├── 1 ─ 15 + │ │ ├── 2 ─ 0 + │ │ │ ├── 4 ─ 0 + │ │ │ │ ├── 9 ─ 0 + │ │ │ │ │ ├── 22 ─ 0 + │ │ │ │ │ └── 38 ─ 4 + │ │ │ │ ├── 13 ─ 2 + │ │ │ │ │ ├── 34 ─ 2 + │ │ │ │ │ └── 39 ─ 4 + │ │ │ │ ├── 18 ─ 0 + │ │ │ │ ├── 30 ─ 2 + │ │ │ │ └── ... + │ │ │ ├── 5 ─ 1 + │ │ │ │ ├── 12 ─ 1 + │ │ │ │ │ ├── 29 ─ 1 + │ │ │ │ │ └── 40 ─ 5 + │ │ │ │ ├── 14 ─ 2 + │ │ │ │ │ ├── 35 ─ 2 + │ │ │ │ │ └── 41 ─ 5 + │ │ │ │ ├── 25 ─ 1 + │ │ │ │ ├── 31 ─ 2 + │ │ │ │ └── ... + │ │ │ ├── 7 ─ 0 + │ │ │ │ ├── 20 ─ 0 + │ │ │ │ └── 32 ─ 2 + │ │ │ ├── 10 ─ 1 + │ │ │ │ ├── 27 ─ 1 + │ │ │ │ └── 33 ─ 2 + │ │ │ ├── 16 ─ 0 + │ │ │ ├── 23 ─ 1 + │ │ │ └── ... + │ │ ├── 3 ─ 0 + │ │ │ ├── 8 ─ 0 + │ │ │ │ ├── 21 ─ 0 + │ │ │ │ └── 36 ─ 3 + │ │ │ ├── 11 ─ 1 + │ │ │ │ ├── 28 ─ 1 + │ │ │ │ └── 37 ─ 3 + │ │ │ ├── 17 ─ 0 + │ │ │ ├── 24 ─ 1 + │ │ │ └── ... + │ │ ├── 6 ─ 0 + │ │ │ ├── 19 ─ 0 + │ │ │ └── 26 ─ 1 + │ │ └── ... + │ └── ... + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_tree_max_depth(): + orig = nx.balanced_tree(r=1, h=3, create_using=nx.DiGraph) + lines = [] + write = lines.append + write("--- directed case, max_depth=0 ---") + nx.write_network_text(orig, path=write, end="", max_depth=0) + write("--- directed case, max_depth=1 ---") + nx.write_network_text(orig, path=write, end="", max_depth=1) + write("--- directed case, max_depth=2 ---") + nx.write_network_text(orig, path=write, end="", max_depth=2) + write("--- directed case, max_depth=3 ---") + nx.write_network_text(orig, path=write, end="", max_depth=3) + write("--- directed case, max_depth=4 ---") + nx.write_network_text(orig, path=write, end="", max_depth=4) + write("--- undirected case, max_depth=0 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=0) + write("--- undirected case, max_depth=1 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=1) + write("--- undirected case, max_depth=2 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=2) + write("--- undirected case, max_depth=3 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=3) + write("--- undirected case, max_depth=4 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=4) + text = "\n".join(lines) + target = dedent( + """ + --- directed case, max_depth=0 --- + ╙ ... + --- directed case, max_depth=1 --- + ╙── 0 + └─╼ ... + --- directed case, max_depth=2 --- + ╙── 0 + └─╼ 1 + └─╼ ... + --- directed case, max_depth=3 --- + ╙── 0 + └─╼ 1 + └─╼ 2 + └─╼ ... + --- directed case, max_depth=4 --- + ╙── 0 + └─╼ 1 + └─╼ 2 + └─╼ 3 + --- undirected case, max_depth=0 --- + ╙ ... + --- undirected case, max_depth=1 --- + ╙── 0 ─ 1 + └── ... + --- undirected case, max_depth=2 --- + ╙── 0 + └── 1 ─ 2 + └── ... + --- undirected case, max_depth=3 --- + ╙── 0 + └── 1 + └── 2 ─ 3 + └── ... + --- undirected case, max_depth=4 --- + ╙── 0 + └── 1 + └── 2 + └── 3 + """ + ).strip() + assert target == text + + +def test_write_network_text_graph_max_depth(): + orig = nx.erdos_renyi_graph(10, 0.15, directed=True, seed=40392) + lines = [] + write = lines.append + write("--- directed case, max_depth=None ---") + nx.write_network_text(orig, path=write, end="", max_depth=None) + write("--- directed case, max_depth=0 ---") + nx.write_network_text(orig, path=write, end="", max_depth=0) + write("--- directed case, max_depth=1 ---") + nx.write_network_text(orig, path=write, end="", max_depth=1) + write("--- directed case, max_depth=2 ---") + nx.write_network_text(orig, path=write, end="", max_depth=2) + write("--- directed case, max_depth=3 ---") + nx.write_network_text(orig, path=write, end="", max_depth=3) + write("--- undirected case, max_depth=None ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=None) + write("--- undirected case, max_depth=0 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=0) + write("--- undirected case, max_depth=1 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=1) + write("--- undirected case, max_depth=2 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=2) + write("--- undirected case, max_depth=3 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=3) + text = "\n".join(lines) + target = dedent( + """ + --- directed case, max_depth=None --- + ╟── 4 + ╎ ├─╼ 0 ╾ 3 + ╎ ├─╼ 5 ╾ 7 + ╎ │ └─╼ 3 + ╎ │ ├─╼ 1 ╾ 9 + ╎ │ │ └─╼ 9 ╾ 6 + ╎ │ │ ├─╼ 6 + ╎ │ │ │ └─╼ ... + ╎ │ │ ├─╼ 7 ╾ 4 + ╎ │ │ │ ├─╼ 2 + ╎ │ │ │ └─╼ ... + ╎ │ │ └─╼ ... + ╎ │ └─╼ ... + ╎ └─╼ ... + ╙── 8 + --- directed case, max_depth=0 --- + ╙ ... + --- directed case, max_depth=1 --- + ╟── 4 + ╎ └─╼ ... + ╙── 8 + --- directed case, max_depth=2 --- + ╟── 4 + ╎ ├─╼ 0 ╾ 3 + ╎ ├─╼ 5 ╾ 7 + ╎ │ └─╼ ... + ╎ └─╼ 7 ╾ 9 + ╎ └─╼ ... + ╙── 8 + --- directed case, max_depth=3 --- + ╟── 4 + ╎ ├─╼ 0 ╾ 3 + ╎ ├─╼ 5 ╾ 7 + ╎ │ └─╼ 3 + ╎ │ └─╼ ... + ╎ └─╼ 7 ╾ 9 + ╎ ├─╼ 2 + ╎ └─╼ ... + ╙── 8 + --- undirected case, max_depth=None --- + ╟── 8 + ╙── 2 + └── 7 + ├── 4 + │ ├── 0 + │ │ └── 3 + │ │ ├── 1 + │ │ │ └── 9 ─ 7 + │ │ │ └── 6 + │ │ └── 5 ─ 4, 7 + │ └── ... + └── ... + --- undirected case, max_depth=0 --- + ╙ ... + --- undirected case, max_depth=1 --- + ╟── 8 + ╙── 2 ─ 7 + └── ... + --- undirected case, max_depth=2 --- + ╟── 8 + ╙── 2 + └── 7 ─ 4, 5, 9 + └── ... + --- undirected case, max_depth=3 --- + ╟── 8 + ╙── 2 + └── 7 + ├── 4 ─ 0, 5 + │ └── ... + ├── 5 ─ 4, 3 + │ └── ... + └── 9 ─ 1, 6 + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_clique_max_depth(): + orig = nx.complete_graph(5, nx.DiGraph) + lines = [] + write = lines.append + write("--- directed case, max_depth=None ---") + nx.write_network_text(orig, path=write, end="", max_depth=None) + write("--- directed case, max_depth=0 ---") + nx.write_network_text(orig, path=write, end="", max_depth=0) + write("--- directed case, max_depth=1 ---") + nx.write_network_text(orig, path=write, end="", max_depth=1) + write("--- directed case, max_depth=2 ---") + nx.write_network_text(orig, path=write, end="", max_depth=2) + write("--- directed case, max_depth=3 ---") + nx.write_network_text(orig, path=write, end="", max_depth=3) + write("--- undirected case, max_depth=None ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=None) + write("--- undirected case, max_depth=0 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=0) + write("--- undirected case, max_depth=1 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=1) + write("--- undirected case, max_depth=2 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=2) + write("--- undirected case, max_depth=3 ---") + nx.write_network_text(orig.to_undirected(), path=write, end="", max_depth=3) + text = "\n".join(lines) + target = dedent( + """ + --- directed case, max_depth=None --- + ╙── 0 ╾ 1, 2, 3, 4 + ├─╼ 1 ╾ 2, 3, 4 + │ ├─╼ 2 ╾ 0, 3, 4 + │ │ ├─╼ 3 ╾ 0, 1, 4 + │ │ │ ├─╼ 4 ╾ 0, 1, 2 + │ │ │ │ └─╼ ... + │ │ │ └─╼ ... + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- directed case, max_depth=0 --- + ╙ ... + --- directed case, max_depth=1 --- + ╙── 0 ╾ 1, 2, 3, 4 + └─╼ ... + --- directed case, max_depth=2 --- + ╙── 0 ╾ 1, 2, 3, 4 + ├─╼ 1 ╾ 2, 3, 4 + │ └─╼ ... + ├─╼ 2 ╾ 1, 3, 4 + │ └─╼ ... + ├─╼ 3 ╾ 1, 2, 4 + │ └─╼ ... + └─╼ 4 ╾ 1, 2, 3 + └─╼ ... + --- directed case, max_depth=3 --- + ╙── 0 ╾ 1, 2, 3, 4 + ├─╼ 1 ╾ 2, 3, 4 + │ ├─╼ 2 ╾ 0, 3, 4 + │ │ └─╼ ... + │ ├─╼ 3 ╾ 0, 2, 4 + │ │ └─╼ ... + │ ├─╼ 4 ╾ 0, 2, 3 + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + --- undirected case, max_depth=None --- + ╙── 0 + ├── 1 + │ ├── 2 ─ 0 + │ │ ├── 3 ─ 0, 1 + │ │ │ └── 4 ─ 0, 1, 2 + │ │ └── ... + │ └── ... + └── ... + --- undirected case, max_depth=0 --- + ╙ ... + --- undirected case, max_depth=1 --- + ╙── 0 ─ 1, 2, 3, 4 + └── ... + --- undirected case, max_depth=2 --- + ╙── 0 + ├── 1 ─ 2, 3, 4 + │ └── ... + ├── 2 ─ 1, 3, 4 + │ └── ... + ├── 3 ─ 1, 2, 4 + │ └── ... + └── 4 ─ 1, 2, 3 + --- undirected case, max_depth=3 --- + ╙── 0 + ├── 1 + │ ├── 2 ─ 0, 3, 4 + │ │ └── ... + │ ├── 3 ─ 0, 2, 4 + │ │ └── ... + │ └── 4 ─ 0, 2, 3 + └── ... + """ + ).strip() + assert target == text + + +def test_write_network_text_custom_label(): + # Create a directed forest with labels + graph = nx.erdos_renyi_graph(5, 0.4, directed=True, seed=359222358) + for node in graph.nodes: + graph.nodes[node]["label"] = f"Node({node})" + graph.nodes[node]["chr"] = chr(node + ord("a") - 1) + if node % 2 == 0: + graph.nodes[node]["part"] = chr(node + ord("a")) + + lines = [] + write = lines.append + write("--- when with_labels=True, uses the 'label' attr ---") + nx.write_network_text(graph, path=write, with_labels=True, end="", max_depth=None) + write("--- when with_labels=False, uses str(node) value ---") + nx.write_network_text(graph, path=write, with_labels=False, end="", max_depth=None) + write("--- when with_labels is a string, use that attr ---") + nx.write_network_text(graph, path=write, with_labels="chr", end="", max_depth=None) + write("--- fallback to str(node) when the attr does not exist ---") + nx.write_network_text(graph, path=write, with_labels="part", end="", max_depth=None) + + text = "\n".join(lines) + target = dedent( + """ + --- when with_labels=True, uses the 'label' attr --- + ╙── Node(1) + └─╼ Node(3) ╾ Node(2) + ├─╼ Node(0) + │ ├─╼ Node(2) ╾ Node(3), Node(4) + │ │ └─╼ ... + │ └─╼ Node(4) + │ └─╼ ... + └─╼ ... + --- when with_labels=False, uses str(node) value --- + ╙── 1 + └─╼ 3 ╾ 2 + ├─╼ 0 + │ ├─╼ 2 ╾ 3, 4 + │ │ └─╼ ... + │ └─╼ 4 + │ └─╼ ... + └─╼ ... + --- when with_labels is a string, use that attr --- + ╙── a + └─╼ c ╾ b + ├─╼ ` + │ ├─╼ b ╾ c, d + │ │ └─╼ ... + │ └─╼ d + │ └─╼ ... + └─╼ ... + --- fallback to str(node) when the attr does not exist --- + ╙── 1 + └─╼ 3 ╾ c + ├─╼ a + │ ├─╼ c ╾ 3, e + │ │ └─╼ ... + │ └─╼ e + │ └─╼ ... + └─╼ ... + """ + ).strip() + assert target == text + + +def test_write_network_text_vertical_chains(): + graph1 = nx.lollipop_graph(4, 2, create_using=nx.Graph) + graph1.add_edge(0, -1) + graph1.add_edge(-1, -2) + graph1.add_edge(-2, -3) + + graph2 = graph1.to_directed() + graph2.remove_edges_from([(u, v) for u, v in graph2.edges if v > u]) + + lines = [] + write = lines.append + write("--- Undirected UTF ---") + nx.write_network_text(graph1, path=write, end="", vertical_chains=True) + write("--- Undirected ASCI ---") + nx.write_network_text( + graph1, path=write, end="", vertical_chains=True, ascii_only=True + ) + write("--- Directed UTF ---") + nx.write_network_text(graph2, path=write, end="", vertical_chains=True) + write("--- Directed ASCI ---") + nx.write_network_text( + graph2, path=write, end="", vertical_chains=True, ascii_only=True + ) + + text = "\n".join(lines) + target = dedent( + """ + --- Undirected UTF --- + ╙── 5 + │ + 4 + │ + 3 + ├── 0 + │ ├── 1 ─ 3 + │ │ │ + │ │ 2 ─ 0, 3 + │ ├── -1 + │ │ │ + │ │ -2 + │ │ │ + │ │ -3 + │ └── ... + └── ... + --- Undirected ASCI --- + +-- 5 + | + 4 + | + 3 + |-- 0 + | |-- 1 - 3 + | | | + | | 2 - 0, 3 + | |-- -1 + | | | + | | -2 + | | | + | | -3 + | L-- ... + L-- ... + --- Directed UTF --- + ╙── 5 + ╽ + 4 + ╽ + 3 + ├─╼ 0 ╾ 1, 2 + │ ╽ + │ -1 + │ ╽ + │ -2 + │ ╽ + │ -3 + ├─╼ 1 ╾ 2 + │ └─╼ ... + └─╼ 2 + └─╼ ... + --- Directed ASCI --- + +-- 5 + ! + 4 + ! + 3 + |-> 0 <- 1, 2 + | ! + | -1 + | ! + | -2 + | ! + | -3 + |-> 1 <- 2 + | L-> ... + L-> 2 + L-> ... + """ + ).strip() + assert target == text + + +def test_collapse_directed(): + graph = nx.balanced_tree(r=2, h=3, create_using=nx.DiGraph) + lines = [] + write = lines.append + write("--- Original ---") + nx.write_network_text(graph, path=write, end="") + graph.nodes[1]["collapse"] = True + write("--- Collapse Node 1 ---") + nx.write_network_text(graph, path=write, end="") + write("--- Add alternate path (5, 3) to collapsed zone") + graph.add_edge(5, 3) + nx.write_network_text(graph, path=write, end="") + write("--- Collapse Node 0 ---") + graph.nodes[0]["collapse"] = True + nx.write_network_text(graph, path=write, end="") + text = "\n".join(lines) + target = dedent( + """ + --- Original --- + ╙── 0 + ├─╼ 1 + │ ├─╼ 3 + │ │ ├─╼ 7 + │ │ └─╼ 8 + │ └─╼ 4 + │ ├─╼ 9 + │ └─╼ 10 + └─╼ 2 + ├─╼ 5 + │ ├─╼ 11 + │ └─╼ 12 + └─╼ 6 + ├─╼ 13 + └─╼ 14 + --- Collapse Node 1 --- + ╙── 0 + ├─╼ 1 + │ └─╼ ... + └─╼ 2 + ├─╼ 5 + │ ├─╼ 11 + │ └─╼ 12 + └─╼ 6 + ├─╼ 13 + └─╼ 14 + --- Add alternate path (5, 3) to collapsed zone + ╙── 0 + ├─╼ 1 + │ └─╼ ... + └─╼ 2 + ├─╼ 5 + │ ├─╼ 11 + │ ├─╼ 12 + │ └─╼ 3 ╾ 1 + │ ├─╼ 7 + │ └─╼ 8 + └─╼ 6 + ├─╼ 13 + └─╼ 14 + --- Collapse Node 0 --- + ╙── 0 + └─╼ ... + """ + ).strip() + assert target == text + + +def test_collapse_undirected(): + graph = nx.balanced_tree(r=2, h=3, create_using=nx.Graph) + lines = [] + write = lines.append + write("--- Original ---") + nx.write_network_text(graph, path=write, end="", sources=[0]) + graph.nodes[1]["collapse"] = True + write("--- Collapse Node 1 ---") + nx.write_network_text(graph, path=write, end="", sources=[0]) + write("--- Add alternate path (5, 3) to collapsed zone") + graph.add_edge(5, 3) + nx.write_network_text(graph, path=write, end="", sources=[0]) + write("--- Collapse Node 0 ---") + graph.nodes[0]["collapse"] = True + nx.write_network_text(graph, path=write, end="", sources=[0]) + text = "\n".join(lines) + target = dedent( + """ + --- Original --- + ╙── 0 + ├── 1 + │ ├── 3 + │ │ ├── 7 + │ │ └── 8 + │ └── 4 + │ ├── 9 + │ └── 10 + └── 2 + ├── 5 + │ ├── 11 + │ └── 12 + └── 6 + ├── 13 + └── 14 + --- Collapse Node 1 --- + ╙── 0 + ├── 1 ─ 3, 4 + │ └── ... + └── 2 + ├── 5 + │ ├── 11 + │ └── 12 + └── 6 + ├── 13 + └── 14 + --- Add alternate path (5, 3) to collapsed zone + ╙── 0 + ├── 1 ─ 3, 4 + │ └── ... + └── 2 + ├── 5 + │ ├── 11 + │ ├── 12 + │ └── 3 ─ 1 + │ ├── 7 + │ └── 8 + └── 6 + ├── 13 + └── 14 + --- Collapse Node 0 --- + ╙── 0 ─ 1, 2 + └── ... + """ + ).strip() + assert target == text + + +def generate_test_graphs(): + """ + Generate a gauntlet of different test graphs with different properties + """ + import random + + rng = random.Random(976689776) + num_randomized = 3 + + for directed in [0, 1]: + cls = nx.DiGraph if directed else nx.Graph + + for num_nodes in range(17): + # Disconnected graph + graph = cls() + graph.add_nodes_from(range(num_nodes)) + yield graph + + # Randomize graphs + if num_nodes > 0: + for p in [0.1, 0.3, 0.5, 0.7, 0.9]: + for seed in range(num_randomized): + graph = nx.erdos_renyi_graph( + num_nodes, p, directed=directed, seed=rng + ) + yield graph + + yield nx.complete_graph(num_nodes, cls) + + yield nx.path_graph(3, create_using=cls) + yield nx.balanced_tree(r=1, h=3, create_using=cls) + if not directed: + yield nx.circular_ladder_graph(4, create_using=cls) + yield nx.star_graph(5, create_using=cls) + yield nx.lollipop_graph(4, 2, create_using=cls) + yield nx.wheel_graph(7, create_using=cls) + yield nx.dorogovtsev_goltsev_mendes_graph(4, create_using=cls) + + +@pytest.mark.parametrize( + ("vertical_chains", "ascii_only"), + tuple( + [ + (vertical_chains, ascii_only) + for vertical_chains in [0, 1] + for ascii_only in [0, 1] + ] + ), +) +def test_network_text_round_trip(vertical_chains, ascii_only): + """ + Write the graph to network text format, then parse it back in, assert it is + the same as the original graph. Passing this test is strong validation of + both the format generator and parser. + """ + from networkx.readwrite.text import _parse_network_text + + for graph in generate_test_graphs(): + graph = nx.relabel_nodes(graph, {n: str(n) for n in graph.nodes}) + lines = list( + nx.generate_network_text( + graph, vertical_chains=vertical_chains, ascii_only=ascii_only + ) + ) + new = _parse_network_text(lines) + try: + assert new.nodes == graph.nodes + assert new.edges == graph.edges + except Exception: + nx.write_network_text(graph) + raise diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/text.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/text.py new file mode 100644 index 0000000000000000000000000000000000000000..c54901d14c6ed2c16c3bcb8c70a428a7d0821a1f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/readwrite/text.py @@ -0,0 +1,852 @@ +""" +Text-based visual representations of graphs +""" + +import sys +import warnings +from collections import defaultdict + +import networkx as nx +from networkx.utils import open_file + +__all__ = ["generate_network_text", "write_network_text"] + + +class BaseGlyphs: + @classmethod + def as_dict(cls): + return { + a: getattr(cls, a) + for a in dir(cls) + if not a.startswith("_") and a != "as_dict" + } + + +class AsciiBaseGlyphs(BaseGlyphs): + empty: str = "+" + newtree_last: str = "+-- " + newtree_mid: str = "+-- " + endof_forest: str = " " + within_forest: str = ": " + within_tree: str = "| " + + +class AsciiDirectedGlyphs(AsciiBaseGlyphs): + last: str = "L-> " + mid: str = "|-> " + backedge: str = "<-" + vertical_edge: str = "!" + + +class AsciiUndirectedGlyphs(AsciiBaseGlyphs): + last: str = "L-- " + mid: str = "|-- " + backedge: str = "-" + vertical_edge: str = "|" + + +class UtfBaseGlyphs(BaseGlyphs): + # Notes on available box and arrow characters + # https://en.wikipedia.org/wiki/Box-drawing_character + # https://stackoverflow.com/questions/2701192/triangle-arrow + empty: str = "╙" + newtree_last: str = "╙── " + newtree_mid: str = "╟── " + endof_forest: str = " " + within_forest: str = "╎ " + within_tree: str = "│ " + + +class UtfDirectedGlyphs(UtfBaseGlyphs): + last: str = "└─╼ " + mid: str = "├─╼ " + backedge: str = "╾" + vertical_edge: str = "╽" + + +class UtfUndirectedGlyphs(UtfBaseGlyphs): + last: str = "└── " + mid: str = "├── " + backedge: str = "─" + vertical_edge: str = "│" + + +def generate_network_text( + graph, + with_labels=True, + sources=None, + max_depth=None, + ascii_only=False, + vertical_chains=False, +): + """Generate lines in the "network text" format + + This works via a depth-first traversal of the graph and writing a line for + each unique node encountered. Non-tree edges are written to the right of + each node, and connection to a non-tree edge is indicated with an ellipsis. + This representation works best when the input graph is a forest, but any + graph can be represented. + + This notation is original to networkx, although it is simple enough that it + may be known in existing literature. See #5602 for details. The procedure + is summarized as follows: + + 1. Given a set of source nodes (which can be specified, or automatically + discovered via finding the (strongly) connected components and choosing one + node with minimum degree from each), we traverse the graph in depth first + order. + + 2. Each reachable node will be printed exactly once on it's own line. + + 3. Edges are indicated in one of four ways: + + a. a parent "L-style" connection on the upper left. This corresponds to + a traversal in the directed DFS tree. + + b. a backref "<-style" connection shown directly on the right. For + directed graphs, these are drawn for any incoming edges to a node that + is not a parent edge. For undirected graphs, these are drawn for only + the non-parent edges that have already been represented (The edges that + have not been represented will be handled in the recursive case). + + c. a child "L-style" connection on the lower right. Drawing of the + children are handled recursively. + + d. if ``vertical_chains`` is true, and a parent node only has one child + a "vertical-style" edge is drawn between them. + + 4. The children of each node (wrt the directed DFS tree) are drawn + underneath and to the right of it. In the case that a child node has already + been drawn the connection is replaced with an ellipsis ("...") to indicate + that there is one or more connections represented elsewhere. + + 5. If a maximum depth is specified, an edge to nodes past this maximum + depth will be represented by an ellipsis. + + 6. If a node has a truthy "collapse" value, then we do not traverse past + that node. + + Parameters + ---------- + graph : nx.DiGraph | nx.Graph + Graph to represent + + with_labels : bool | str + If True will use the "label" attribute of a node to display if it + exists otherwise it will use the node value itself. If given as a + string, then that attribute name will be used instead of "label". + Defaults to True. + + sources : List + Specifies which nodes to start traversal from. Note: nodes that are not + reachable from one of these sources may not be shown. If unspecified, + the minimal set of nodes needed to reach all others will be used. + + max_depth : int | None + The maximum depth to traverse before stopping. Defaults to None. + + ascii_only : Boolean + If True only ASCII characters are used to construct the visualization + + vertical_chains : Boolean + If True, chains of nodes will be drawn vertically when possible. + + Yields + ------ + str : a line of generated text + + Examples + -------- + >>> graph = nx.path_graph(10) + >>> graph.add_node("A") + >>> graph.add_node("B") + >>> graph.add_node("C") + >>> graph.add_node("D") + >>> graph.add_edge(9, "A") + >>> graph.add_edge(9, "B") + >>> graph.add_edge(9, "C") + >>> graph.add_edge("C", "D") + >>> graph.add_edge("C", "E") + >>> graph.add_edge("C", "F") + >>> nx.write_network_text(graph) + ╙── 0 + └── 1 + └── 2 + └── 3 + └── 4 + └── 5 + └── 6 + └── 7 + └── 8 + └── 9 + ├── A + ├── B + └── C + ├── D + ├── E + └── F + >>> nx.write_network_text(graph, vertical_chains=True) + ╙── 0 + │ + 1 + │ + 2 + │ + 3 + │ + 4 + │ + 5 + │ + 6 + │ + 7 + │ + 8 + │ + 9 + ├── A + ├── B + └── C + ├── D + ├── E + └── F + """ + from typing import Any, NamedTuple + + class StackFrame(NamedTuple): + parent: Any + node: Any + indents: list + this_islast: bool + this_vertical: bool + + collapse_attr = "collapse" + + is_directed = graph.is_directed() + + if is_directed: + glyphs = AsciiDirectedGlyphs if ascii_only else UtfDirectedGlyphs + succ = graph.succ + pred = graph.pred + else: + glyphs = AsciiUndirectedGlyphs if ascii_only else UtfUndirectedGlyphs + succ = graph.adj + pred = graph.adj + + if isinstance(with_labels, str): + label_attr = with_labels + elif with_labels: + label_attr = "label" + else: + label_attr = None + + if max_depth == 0: + yield glyphs.empty + " ..." + elif len(graph.nodes) == 0: + yield glyphs.empty + else: + # If the nodes to traverse are unspecified, find the minimal set of + # nodes that will reach the entire graph + if sources is None: + sources = _find_sources(graph) + + # Populate the stack with each: + # 1. parent node in the DFS tree (or None for root nodes), + # 2. the current node in the DFS tree + # 2. a list of indentations indicating depth + # 3. a flag indicating if the node is the final one to be written. + # Reverse the stack so sources are popped in the correct order. + last_idx = len(sources) - 1 + stack = [ + StackFrame(None, node, [], (idx == last_idx), False) + for idx, node in enumerate(sources) + ][::-1] + + num_skipped_children = defaultdict(lambda: 0) + seen_nodes = set() + while stack: + parent, node, indents, this_islast, this_vertical = stack.pop() + + if node is not Ellipsis: + skip = node in seen_nodes + if skip: + # Mark that we skipped a parent's child + num_skipped_children[parent] += 1 + + if this_islast: + # If we reached the last child of a parent, and we skipped + # any of that parents children, then we should emit an + # ellipsis at the end after this. + if num_skipped_children[parent] and parent is not None: + # Append the ellipsis to be emitted last + next_islast = True + try_frame = StackFrame( + node, Ellipsis, indents, next_islast, False + ) + stack.append(try_frame) + + # Redo this frame, but not as a last object + next_islast = False + try_frame = StackFrame( + parent, node, indents, next_islast, this_vertical + ) + stack.append(try_frame) + continue + + if skip: + continue + seen_nodes.add(node) + + if not indents: + # Top level items (i.e. trees in the forest) get different + # glyphs to indicate they are not actually connected + if this_islast: + this_vertical = False + this_prefix = indents + [glyphs.newtree_last] + next_prefix = indents + [glyphs.endof_forest] + else: + this_prefix = indents + [glyphs.newtree_mid] + next_prefix = indents + [glyphs.within_forest] + + else: + # Non-top-level items + if this_vertical: + this_prefix = indents + next_prefix = indents + else: + if this_islast: + this_prefix = indents + [glyphs.last] + next_prefix = indents + [glyphs.endof_forest] + else: + this_prefix = indents + [glyphs.mid] + next_prefix = indents + [glyphs.within_tree] + + if node is Ellipsis: + label = " ..." + suffix = "" + children = [] + else: + if label_attr is not None: + label = str(graph.nodes[node].get(label_attr, node)) + else: + label = str(node) + + # Determine if we want to show the children of this node. + if collapse_attr is not None: + collapse = graph.nodes[node].get(collapse_attr, False) + else: + collapse = False + + # Determine: + # (1) children to traverse into after showing this node. + # (2) parents to immediately show to the right of this node. + if is_directed: + # In the directed case we must show every successor node + # note: it may be skipped later, but we don't have that + # information here. + children = list(succ[node]) + # In the directed case we must show every predecessor + # except for parent we directly traversed from. + handled_parents = {parent} + else: + # Showing only the unseen children results in a more + # concise representation for the undirected case. + children = [ + child for child in succ[node] if child not in seen_nodes + ] + + # In the undirected case, parents are also children, so we + # only need to immediately show the ones we can no longer + # traverse + handled_parents = {*children, parent} + + if max_depth is not None and len(indents) == max_depth - 1: + # Use ellipsis to indicate we have reached maximum depth + if children: + children = [Ellipsis] + handled_parents = {parent} + + if collapse: + # Collapsing a node is the same as reaching maximum depth + if children: + children = [Ellipsis] + handled_parents = {parent} + + # The other parents are other predecessors of this node that + # are not handled elsewhere. + other_parents = [p for p in pred[node] if p not in handled_parents] + if other_parents: + if label_attr is not None: + other_parents_labels = ", ".join( + [ + str(graph.nodes[p].get(label_attr, p)) + for p in other_parents + ] + ) + else: + other_parents_labels = ", ".join( + [str(p) for p in other_parents] + ) + suffix = " ".join(["", glyphs.backedge, other_parents_labels]) + else: + suffix = "" + + # Emit the line for this node, this will be called for each node + # exactly once. + if this_vertical: + yield "".join(this_prefix + [glyphs.vertical_edge]) + + yield "".join(this_prefix + [label, suffix]) + + if vertical_chains: + if is_directed: + num_children = len(set(children)) + else: + num_children = len(set(children) - {parent}) + # The next node can be drawn vertically if it is the only + # remaining child of this node. + next_is_vertical = num_children == 1 + else: + next_is_vertical = False + + # Push children on the stack in reverse order so they are popped in + # the original order. + for idx, child in enumerate(children[::-1]): + next_islast = idx == 0 + try_frame = StackFrame( + node, child, next_prefix, next_islast, next_is_vertical + ) + stack.append(try_frame) + + +@open_file(1, "w") +def write_network_text( + graph, + path=None, + with_labels=True, + sources=None, + max_depth=None, + ascii_only=False, + end="\n", + vertical_chains=False, +): + """Creates a nice text representation of a graph + + This works via a depth-first traversal of the graph and writing a line for + each unique node encountered. Non-tree edges are written to the right of + each node, and connection to a non-tree edge is indicated with an ellipsis. + This representation works best when the input graph is a forest, but any + graph can be represented. + + Parameters + ---------- + graph : nx.DiGraph | nx.Graph + Graph to represent + + path : string or file or callable or None + Filename or file handle for data output. + if a function, then it will be called for each generated line. + if None, this will default to "sys.stdout.write" + + with_labels : bool | str + If True will use the "label" attribute of a node to display if it + exists otherwise it will use the node value itself. If given as a + string, then that attribute name will be used instead of "label". + Defaults to True. + + sources : List + Specifies which nodes to start traversal from. Note: nodes that are not + reachable from one of these sources may not be shown. If unspecified, + the minimal set of nodes needed to reach all others will be used. + + max_depth : int | None + The maximum depth to traverse before stopping. Defaults to None. + + ascii_only : Boolean + If True only ASCII characters are used to construct the visualization + + end : string + The line ending character + + vertical_chains : Boolean + If True, chains of nodes will be drawn vertically when possible. + + Examples + -------- + >>> graph = nx.balanced_tree(r=2, h=2, create_using=nx.DiGraph) + >>> nx.write_network_text(graph) + ╙── 0 + ├─╼ 1 + │ ├─╼ 3 + │ └─╼ 4 + └─╼ 2 + ├─╼ 5 + └─╼ 6 + + >>> # A near tree with one non-tree edge + >>> graph.add_edge(5, 1) + >>> nx.write_network_text(graph) + ╙── 0 + ├─╼ 1 ╾ 5 + │ ├─╼ 3 + │ └─╼ 4 + └─╼ 2 + ├─╼ 5 + │ └─╼ ... + └─╼ 6 + + >>> graph = nx.cycle_graph(5) + >>> nx.write_network_text(graph) + ╙── 0 + ├── 1 + │ └── 2 + │ └── 3 + │ └── 4 ─ 0 + └── ... + + >>> graph = nx.cycle_graph(5, nx.DiGraph) + >>> nx.write_network_text(graph, vertical_chains=True) + ╙── 0 ╾ 4 + ╽ + 1 + ╽ + 2 + ╽ + 3 + ╽ + 4 + └─╼ ... + + >>> nx.write_network_text(graph, vertical_chains=True, ascii_only=True) + +-- 0 <- 4 + ! + 1 + ! + 2 + ! + 3 + ! + 4 + L-> ... + + >>> graph = nx.generators.barbell_graph(4, 2) + >>> nx.write_network_text(graph, vertical_chains=False) + ╙── 4 + ├── 5 + │ └── 6 + │ ├── 7 + │ │ ├── 8 ─ 6 + │ │ │ └── 9 ─ 6, 7 + │ │ └── ... + │ └── ... + └── 3 + ├── 0 + │ ├── 1 ─ 3 + │ │ └── 2 ─ 0, 3 + │ └── ... + └── ... + >>> nx.write_network_text(graph, vertical_chains=True) + ╙── 4 + ├── 5 + │ │ + │ 6 + │ ├── 7 + │ │ ├── 8 ─ 6 + │ │ │ │ + │ │ │ 9 ─ 6, 7 + │ │ └── ... + │ └── ... + └── 3 + ├── 0 + │ ├── 1 ─ 3 + │ │ │ + │ │ 2 ─ 0, 3 + │ └── ... + └── ... + + >>> graph = nx.complete_graph(5, create_using=nx.Graph) + >>> nx.write_network_text(graph) + ╙── 0 + ├── 1 + │ ├── 2 ─ 0 + │ │ ├── 3 ─ 0, 1 + │ │ │ └── 4 ─ 0, 1, 2 + │ │ └── ... + │ └── ... + └── ... + + >>> graph = nx.complete_graph(3, create_using=nx.DiGraph) + >>> nx.write_network_text(graph) + ╙── 0 ╾ 1, 2 + ├─╼ 1 ╾ 2 + │ ├─╼ 2 ╾ 0 + │ │ └─╼ ... + │ └─╼ ... + └─╼ ... + """ + if path is None: + # The path is unspecified, write to stdout + _write = sys.stdout.write + elif hasattr(path, "write"): + # The path is already an open file + _write = path.write + elif callable(path): + # The path is a custom callable + _write = path + else: + raise TypeError(type(path)) + + for line in generate_network_text( + graph, + with_labels=with_labels, + sources=sources, + max_depth=max_depth, + ascii_only=ascii_only, + vertical_chains=vertical_chains, + ): + _write(line + end) + + +def _find_sources(graph): + """ + Determine a minimal set of nodes such that the entire graph is reachable + """ + # For each connected part of the graph, choose at least + # one node as a starting point, preferably without a parent + if graph.is_directed(): + # Choose one node from each SCC with minimum in_degree + sccs = list(nx.strongly_connected_components(graph)) + # condensing the SCCs forms a dag, the nodes in this graph with + # 0 in-degree correspond to the SCCs from which the minimum set + # of nodes from which all other nodes can be reached. + scc_graph = nx.condensation(graph, sccs) + supernode_to_nodes = {sn: [] for sn in scc_graph.nodes()} + # Note: the order of mapping differs between pypy and cpython + # so we have to loop over graph nodes for consistency + mapping = scc_graph.graph["mapping"] + for n in graph.nodes: + sn = mapping[n] + supernode_to_nodes[sn].append(n) + sources = [] + for sn in scc_graph.nodes(): + if scc_graph.in_degree[sn] == 0: + scc = supernode_to_nodes[sn] + node = min(scc, key=lambda n: graph.in_degree[n]) + sources.append(node) + else: + # For undirected graph, the entire graph will be reachable as + # long as we consider one node from every connected component + sources = [ + min(cc, key=lambda n: graph.degree[n]) + for cc in nx.connected_components(graph) + ] + sources = sorted(sources, key=lambda n: graph.degree[n]) + return sources + + +def _parse_network_text(lines): + """Reconstructs a graph from a network text representation. + + This is mainly used for testing. Network text is for display, not + serialization, as such this cannot parse all network text representations + because node labels can be ambiguous with the glyphs and indentation used + to represent edge structure. Additionally, there is no way to determine if + disconnected graphs were originally directed or undirected. + + Parameters + ---------- + lines : list or iterator of strings + Input data in network text format + + Returns + ------- + G: NetworkX graph + The graph corresponding to the lines in network text format. + """ + from itertools import chain + from typing import Any, NamedTuple, Union + + class ParseStackFrame(NamedTuple): + node: Any + indent: int + has_vertical_child: int | None + + initial_line_iter = iter(lines) + + is_ascii = None + is_directed = None + + ############## + # Initial Pass + ############## + + # Do an initial pass over the lines to determine what type of graph it is. + # Remember what these lines were, so we can reiterate over them in the + # parsing pass. + initial_lines = [] + try: + first_line = next(initial_line_iter) + except StopIteration: + ... + else: + initial_lines.append(first_line) + # The first character indicates if it is an ASCII or UTF graph + first_char = first_line[0] + if first_char in { + UtfBaseGlyphs.empty, + UtfBaseGlyphs.newtree_mid[0], + UtfBaseGlyphs.newtree_last[0], + }: + is_ascii = False + elif first_char in { + AsciiBaseGlyphs.empty, + AsciiBaseGlyphs.newtree_mid[0], + AsciiBaseGlyphs.newtree_last[0], + }: + is_ascii = True + else: + raise AssertionError(f"Unexpected first character: {first_char}") + + if is_ascii: + directed_glyphs = AsciiDirectedGlyphs.as_dict() + undirected_glyphs = AsciiUndirectedGlyphs.as_dict() + else: + directed_glyphs = UtfDirectedGlyphs.as_dict() + undirected_glyphs = UtfUndirectedGlyphs.as_dict() + + # For both directed / undirected glyphs, determine which glyphs never + # appear as substrings in the other undirected / directed glyphs. Glyphs + # with this property unambiguously indicates if a graph is directed / + # undirected. + directed_items = set(directed_glyphs.values()) + undirected_items = set(undirected_glyphs.values()) + unambiguous_directed_items = [] + for item in directed_items: + other_items = undirected_items + other_supersets = [other for other in other_items if item in other] + if not other_supersets: + unambiguous_directed_items.append(item) + unambiguous_undirected_items = [] + for item in undirected_items: + other_items = directed_items + other_supersets = [other for other in other_items if item in other] + if not other_supersets: + unambiguous_undirected_items.append(item) + + for line in initial_line_iter: + initial_lines.append(line) + if any(item in line for item in unambiguous_undirected_items): + is_directed = False + break + elif any(item in line for item in unambiguous_directed_items): + is_directed = True + break + + if is_directed is None: + # Not enough information to determine, choose undirected by default + is_directed = False + + glyphs = directed_glyphs if is_directed else undirected_glyphs + + # the backedge symbol by itself can be ambiguous, but with spaces around it + # becomes unambiguous. + backedge_symbol = " " + glyphs["backedge"] + " " + + # Reconstruct an iterator over all of the lines. + parsing_line_iter = chain(initial_lines, initial_line_iter) + + ############## + # Parsing Pass + ############## + + edges = [] + nodes = [] + is_empty = None + + noparent = object() # sentinel value + + # keep a stack of previous nodes that could be parents of subsequent nodes + stack = [ParseStackFrame(noparent, -1, None)] + + for line in parsing_line_iter: + if line == glyphs["empty"]: + # If the line is the empty glyph, we are done. + # There shouldn't be anything else after this. + is_empty = True + continue + + if backedge_symbol in line: + # This line has one or more backedges, separate those out + node_part, backedge_part = line.split(backedge_symbol) + backedge_nodes = [u.strip() for u in backedge_part.split(", ")] + # Now the node can be parsed + node_part = node_part.rstrip() + prefix, node = node_part.rsplit(" ", 1) + node = node.strip() + # Add the backedges to the edge list + edges.extend([(u, node) for u in backedge_nodes]) + else: + # No backedge, the tail of this line is the node + prefix, node = line.rsplit(" ", 1) + node = node.strip() + + prev = stack.pop() + + if node in glyphs["vertical_edge"]: + # Previous node is still the previous node, but we know it will + # have exactly one child, which will need to have its nesting level + # adjusted. + modified_prev = ParseStackFrame( + prev.node, + prev.indent, + True, + ) + stack.append(modified_prev) + continue + + # The length of the string before the node characters give us a hint + # about our nesting level. The only case where this doesn't work is + # when there are vertical chains, which is handled explicitly. + indent = len(prefix) + curr = ParseStackFrame(node, indent, None) + + if prev.has_vertical_child: + # In this case we know prev must be the parent of our current line, + # so we don't have to search the stack. (which is good because the + # indentation check wouldn't work in this case). + ... + else: + # If the previous node nesting-level is greater than the current + # nodes nesting-level than the previous node was the end of a path, + # and is not our parent. We can safely pop nodes off the stack + # until we find one with a comparable nesting-level, which is our + # parent. + while curr.indent <= prev.indent: + prev = stack.pop() + + if node == "...": + # The current previous node is no longer a valid parent, + # keep it popped from the stack. + stack.append(prev) + else: + # The previous and current nodes may still be parents, so add them + # back onto the stack. + stack.append(prev) + stack.append(curr) + + # Add the node and the edge to its parent to the node / edge lists. + nodes.append(curr.node) + if prev.node is not noparent: + edges.append((prev.node, curr.node)) + + if is_empty: + # Sanity check + assert len(nodes) == 0 + + # Reconstruct the graph + cls = nx.DiGraph if is_directed else nx.Graph + new = cls() + new.add_nodes_from(nodes) + new.add_edges_from(edges) + return new diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_all_random_functions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_all_random_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..5e458150d1887f52d1aef1c6d2acacf1554f80da --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_all_random_functions.py @@ -0,0 +1,250 @@ +import pytest + +np = pytest.importorskip("numpy") +import random + +import networkx as nx +from networkx.algorithms import approximation as approx +from networkx.algorithms import threshold + +progress = 0 + +# store the random numbers after setting a global seed +np.random.seed(42) +np_rv = np.random.rand() +random.seed(42) +py_rv = random.random() + + +def t(f, *args, **kwds): + """call one function and check if global RNG changed""" + global progress + progress += 1 + print(progress, ",", end="") + + f(*args, **kwds) + + after_np_rv = np.random.rand() + # if np_rv != after_np_rv: + # print(np_rv, after_np_rv, "don't match np!") + assert np_rv == after_np_rv + np.random.seed(42) + + after_py_rv = random.random() + # if py_rv != after_py_rv: + # print(py_rv, after_py_rv, "don't match py!") + assert py_rv == after_py_rv + random.seed(42) + + +def run_all_random_functions(seed): + n = 20 + m = 10 + k = l = 2 + s = v = 10 + p = q = p1 = p2 = p_in = p_out = 0.4 + alpha = radius = theta = 0.75 + sizes = (20, 20, 10) + colors = [1, 2, 3] + G = nx.barbell_graph(12, 20) + H = nx.cycle_graph(3) + H.add_weighted_edges_from((u, v, 0.2) for u, v in H.edges) + deg_sequence = [3, 2, 1, 3, 2, 1, 3, 2, 1, 2, 1, 2, 1] + in_degree_sequence = w = sequence = aseq = bseq = deg_sequence + + # print("starting...") + t(nx.maximal_independent_set, G, seed=seed) + t(nx.rich_club_coefficient, G, seed=seed, normalized=False) + t(nx.random_reference, G, seed=seed) + t(nx.lattice_reference, G, seed=seed) + t(nx.sigma, G, 1, 2, seed=seed) + t(nx.omega, G, 1, 2, seed=seed) + # print("out of smallworld.py") + t(nx.double_edge_swap, G, seed=seed) + # print("starting connected_double_edge_swap") + t(nx.connected_double_edge_swap, nx.complete_graph(9), seed=seed) + # print("ending connected_double_edge_swap") + t(nx.random_layout, G, seed=seed) + t(nx.fruchterman_reingold_layout, G, seed=seed) + t(nx.algebraic_connectivity, G, seed=seed) + t(nx.fiedler_vector, G, seed=seed) + t(nx.spectral_ordering, G, seed=seed) + # print('starting average_clustering') + t(approx.average_clustering, G, seed=seed) + t(approx.simulated_annealing_tsp, H, "greedy", source=1, seed=seed) + t(approx.threshold_accepting_tsp, H, "greedy", source=1, seed=seed) + t( + approx.traveling_salesman_problem, + H, + method=lambda G, weight: approx.simulated_annealing_tsp( + G, "greedy", weight, seed=seed + ), + ) + t( + approx.traveling_salesman_problem, + H, + method=lambda G, weight: approx.threshold_accepting_tsp( + G, "greedy", weight, seed=seed + ), + ) + t(nx.betweenness_centrality, G, seed=seed) + t(nx.edge_betweenness_centrality, G, seed=seed) + t(nx.approximate_current_flow_betweenness_centrality, G, seed=seed) + # print("kernighan") + t(nx.algorithms.community.kernighan_lin_bisection, G, seed=seed) + # nx.algorithms.community.asyn_lpa_communities(G, seed=seed) + t(nx.algorithms.tree.greedy_branching, G, seed=seed) + # print('done with graph argument functions') + + t(nx.spectral_graph_forge, G, alpha, seed=seed) + t(nx.algorithms.community.asyn_fluidc, G, k, max_iter=1, seed=seed) + t( + nx.algorithms.connectivity.edge_augmentation.greedy_k_edge_augmentation, + G, + k, + seed=seed, + ) + t(nx.algorithms.coloring.strategy_random_sequential, G, colors, seed=seed) + + cs = ["d", "i", "i", "d", "d", "i"] + t(threshold.swap_d, cs, seed=seed) + t(nx.configuration_model, deg_sequence, seed=seed) + t( + nx.directed_configuration_model, + in_degree_sequence, + in_degree_sequence, + seed=seed, + ) + t(nx.expected_degree_graph, w, seed=seed) + t(nx.random_degree_sequence_graph, sequence, seed=seed) + joint_degrees = { + 1: {4: 1}, + 2: {2: 2, 3: 2, 4: 2}, + 3: {2: 2, 4: 1}, + 4: {1: 1, 2: 2, 3: 1}, + } + t(nx.joint_degree_graph, joint_degrees, seed=seed) + joint_degree_sequence = [ + (1, 0), + (1, 0), + (1, 0), + (2, 0), + (1, 0), + (2, 1), + (0, 1), + (0, 1), + ] + t(nx.random_clustered_graph, joint_degree_sequence, seed=seed) + constructor = [(3, 3, 0.5), (10, 10, 0.7)] + t(nx.random_shell_graph, constructor, seed=seed) + t(nx.random_triad, G.to_directed(), seed=seed) + mapping = {1: 0.4, 2: 0.3, 3: 0.3} + t(nx.utils.random_weighted_sample, mapping, k, seed=seed) + t(nx.utils.weighted_choice, mapping, seed=seed) + t(nx.algorithms.bipartite.configuration_model, aseq, bseq, seed=seed) + t(nx.algorithms.bipartite.preferential_attachment_graph, aseq, p, seed=seed) + + def kernel_integral(u, w, z): + return z - w + + t(nx.random_kernel_graph, n, kernel_integral, seed=seed) + + sizes = [75, 75, 300] + probs = [[0.25, 0.05, 0.02], [0.05, 0.35, 0.07], [0.02, 0.07, 0.40]] + t(nx.stochastic_block_model, sizes, probs, seed=seed) + t(nx.random_partition_graph, sizes, p_in, p_out, seed=seed) + + # print("starting generator functions") + t(threshold.random_threshold_sequence, n, p, seed=seed) + t(nx.tournament.random_tournament, n, seed=seed) + t(nx.relaxed_caveman_graph, l, k, p, seed=seed) + t(nx.planted_partition_graph, l, k, p_in, p_out, seed=seed) + t(nx.gaussian_random_partition_graph, n, s, v, p_in, p_out, seed=seed) + t(nx.gn_graph, n, seed=seed) + t(nx.gnr_graph, n, p, seed=seed) + t(nx.gnc_graph, n, seed=seed) + t(nx.scale_free_graph, n, seed=seed) + t(nx.directed.random_uniform_k_out_graph, n, k, seed=seed) + t(nx.random_k_out_graph, n, k, alpha, seed=seed) + N = 1000 + t(nx.partial_duplication_graph, N, n, p, q, seed=seed) + t(nx.duplication_divergence_graph, n, p, seed=seed) + t(nx.random_geometric_graph, n, radius, seed=seed) + t(nx.soft_random_geometric_graph, n, radius, seed=seed) + t(nx.geographical_threshold_graph, n, theta, seed=seed) + t(nx.waxman_graph, n, seed=seed) + t(nx.navigable_small_world_graph, n, seed=seed) + t(nx.thresholded_random_geometric_graph, n, radius, theta, seed=seed) + t(nx.uniform_random_intersection_graph, n, m, p, seed=seed) + t(nx.k_random_intersection_graph, n, m, k, seed=seed) + + t(nx.general_random_intersection_graph, n, 2, [0.1, 0.5], seed=seed) + t(nx.fast_gnp_random_graph, n, p, seed=seed) + t(nx.gnp_random_graph, n, p, seed=seed) + t(nx.dense_gnm_random_graph, n, m, seed=seed) + t(nx.gnm_random_graph, n, m, seed=seed) + t(nx.newman_watts_strogatz_graph, n, k, p, seed=seed) + t(nx.watts_strogatz_graph, n, k, p, seed=seed) + t(nx.connected_watts_strogatz_graph, n, k, p, seed=seed) + t(nx.random_regular_graph, 3, n, seed=seed) + t(nx.barabasi_albert_graph, n, m, seed=seed) + t(nx.extended_barabasi_albert_graph, n, m, p, q, seed=seed) + t(nx.powerlaw_cluster_graph, n, m, p, seed=seed) + t(nx.random_lobster, n, p1, p2, seed=seed) + t(nx.random_powerlaw_tree, n, seed=seed, tries=5000) + t(nx.random_powerlaw_tree_sequence, 10, seed=seed, tries=5000) + t(nx.random_labeled_tree, n, seed=seed) + t(nx.utils.powerlaw_sequence, n, seed=seed) + t(nx.utils.zipf_rv, 2.3, seed=seed) + cdist = [0.2, 0.4, 0.5, 0.7, 0.9, 1.0] + t(nx.utils.discrete_sequence, n, cdistribution=cdist, seed=seed) + t(nx.algorithms.bipartite.random_graph, n, m, p, seed=seed) + t(nx.algorithms.bipartite.gnmk_random_graph, n, m, k, seed=seed) + LFR = nx.generators.LFR_benchmark_graph + t( + LFR, + 25, + 3, + 1.5, + 0.1, + average_degree=3, + min_community=10, + seed=seed, + max_community=20, + ) + t(nx.random_internet_as_graph, n, seed=seed) + # print("done") + + +# choose to test an integer seed, or whether a single RNG can be everywhere +# np_rng = np.random.RandomState(14) +# seed = np_rng +# seed = 14 + + +@pytest.mark.slow +# print("NetworkX Version:", nx.__version__) +def test_rng_interface(): + global progress + + # try different kinds of seeds + for seed in [14, np.random.RandomState(14)]: + np.random.seed(42) + random.seed(42) + run_all_random_functions(seed) + progress = 0 + + # check that both global RNGs are unaffected + after_np_rv = np.random.rand() + # if np_rv != after_np_rv: + # print(np_rv, after_np_rv, "don't match np!") + assert np_rv == after_np_rv + after_py_rv = random.random() + # if py_rv != after_py_rv: + # print(py_rv, after_py_rv, "don't match py!") + assert py_rv == after_py_rv + + +# print("\nDone testing seed:", seed) + +# test_rng_interface() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert.py new file mode 100644 index 0000000000000000000000000000000000000000..44bed9438945a39bb5eb85477301f58cfcd70cf0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert.py @@ -0,0 +1,321 @@ +import pytest + +import networkx as nx +from networkx.convert import ( + from_dict_of_dicts, + from_dict_of_lists, + to_dict_of_dicts, + to_dict_of_lists, + to_networkx_graph, +) +from networkx.generators.classic import barbell_graph, cycle_graph +from networkx.utils import edges_equal, graphs_equal, nodes_equal + + +class TestConvert: + def edgelists_equal(self, e1, e2): + return sorted(sorted(e) for e in e1) == sorted(sorted(e) for e in e2) + + def test_simple_graphs(self): + for dest, source in [ + (to_dict_of_dicts, from_dict_of_dicts), + (to_dict_of_lists, from_dict_of_lists), + ]: + G = barbell_graph(10, 3) + G.graph = {} + dod = dest(G) + + # Dict of [dicts, lists] + GG = source(dod) + assert graphs_equal(G, GG) + GW = to_networkx_graph(dod) + assert graphs_equal(G, GW) + GI = nx.Graph(dod) + assert graphs_equal(G, GI) + + # With nodelist keyword + P4 = nx.path_graph(4) + P3 = nx.path_graph(3) + P4.graph = {} + P3.graph = {} + dod = dest(P4, nodelist=[0, 1, 2]) + Gdod = nx.Graph(dod) + assert graphs_equal(Gdod, P3) + + def test_exceptions(self): + # NX graph + class G: + adj = None + + pytest.raises(nx.NetworkXError, to_networkx_graph, G) + + # pygraphviz agraph + class G: + is_strict = None + + pytest.raises(nx.NetworkXError, to_networkx_graph, G) + + # Dict of [dicts, lists] + G = {"a": 0} + pytest.raises(TypeError, to_networkx_graph, G) + + # list or generator of edges + class G: + next = None + + pytest.raises(nx.NetworkXError, to_networkx_graph, G) + + # no match + pytest.raises(nx.NetworkXError, to_networkx_graph, "a") + + def test_digraphs(self): + for dest, source in [ + (to_dict_of_dicts, from_dict_of_dicts), + (to_dict_of_lists, from_dict_of_lists), + ]: + G = cycle_graph(10) + + # Dict of [dicts, lists] + dod = dest(G) + GG = source(dod) + assert nodes_equal(sorted(G.nodes()), sorted(GG.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GG.edges())) + GW = to_networkx_graph(dod) + assert nodes_equal(sorted(G.nodes()), sorted(GW.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GW.edges())) + GI = nx.Graph(dod) + assert nodes_equal(sorted(G.nodes()), sorted(GI.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GI.edges())) + + G = cycle_graph(10, create_using=nx.DiGraph) + dod = dest(G) + GG = source(dod, create_using=nx.DiGraph) + assert sorted(G.nodes()) == sorted(GG.nodes()) + assert sorted(G.edges()) == sorted(GG.edges()) + GW = to_networkx_graph(dod, create_using=nx.DiGraph) + assert sorted(G.nodes()) == sorted(GW.nodes()) + assert sorted(G.edges()) == sorted(GW.edges()) + GI = nx.DiGraph(dod) + assert sorted(G.nodes()) == sorted(GI.nodes()) + assert sorted(G.edges()) == sorted(GI.edges()) + + def test_graph(self): + g = nx.cycle_graph(10) + G = nx.Graph() + G.add_nodes_from(g) + G.add_weighted_edges_from((u, v, u) for u, v in g.edges()) + + # Dict of dicts + dod = to_dict_of_dicts(G) + GG = from_dict_of_dicts(dod, create_using=nx.Graph) + assert nodes_equal(sorted(G.nodes()), sorted(GG.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GG.edges())) + GW = to_networkx_graph(dod, create_using=nx.Graph) + assert nodes_equal(sorted(G.nodes()), sorted(GW.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GW.edges())) + GI = nx.Graph(dod) + assert sorted(G.nodes()) == sorted(GI.nodes()) + assert sorted(G.edges()) == sorted(GI.edges()) + + # Dict of lists + dol = to_dict_of_lists(G) + GG = from_dict_of_lists(dol, create_using=nx.Graph) + # dict of lists throws away edge data so set it to none + enone = [(u, v, {}) for (u, v, d) in G.edges(data=True)] + assert nodes_equal(sorted(G.nodes()), sorted(GG.nodes())) + assert edges_equal(enone, sorted(GG.edges(data=True))) + GW = to_networkx_graph(dol, create_using=nx.Graph) + assert nodes_equal(sorted(G.nodes()), sorted(GW.nodes())) + assert edges_equal(enone, sorted(GW.edges(data=True))) + GI = nx.Graph(dol) + assert nodes_equal(sorted(G.nodes()), sorted(GI.nodes())) + assert edges_equal(enone, sorted(GI.edges(data=True))) + + def test_with_multiedges_self_loops(self): + G = cycle_graph(10) + XG = nx.Graph() + XG.add_nodes_from(G) + XG.add_weighted_edges_from((u, v, u) for u, v in G.edges()) + XGM = nx.MultiGraph() + XGM.add_nodes_from(G) + XGM.add_weighted_edges_from((u, v, u) for u, v in G.edges()) + XGM.add_edge(0, 1, weight=2) # multiedge + XGS = nx.Graph() + XGS.add_nodes_from(G) + XGS.add_weighted_edges_from((u, v, u) for u, v in G.edges()) + XGS.add_edge(0, 0, weight=100) # self loop + + # Dict of dicts + # with self loops, OK + dod = to_dict_of_dicts(XGS) + GG = from_dict_of_dicts(dod, create_using=nx.Graph) + assert nodes_equal(XGS.nodes(), GG.nodes()) + assert edges_equal(XGS.edges(), GG.edges()) + GW = to_networkx_graph(dod, create_using=nx.Graph) + assert nodes_equal(XGS.nodes(), GW.nodes()) + assert edges_equal(XGS.edges(), GW.edges()) + GI = nx.Graph(dod) + assert nodes_equal(XGS.nodes(), GI.nodes()) + assert edges_equal(XGS.edges(), GI.edges()) + + # Dict of lists + # with self loops, OK + dol = to_dict_of_lists(XGS) + GG = from_dict_of_lists(dol, create_using=nx.Graph) + # dict of lists throws away edge data so set it to none + enone = [(u, v, {}) for (u, v, d) in XGS.edges(data=True)] + assert nodes_equal(sorted(XGS.nodes()), sorted(GG.nodes())) + assert edges_equal(enone, sorted(GG.edges(data=True))) + GW = to_networkx_graph(dol, create_using=nx.Graph) + assert nodes_equal(sorted(XGS.nodes()), sorted(GW.nodes())) + assert edges_equal(enone, sorted(GW.edges(data=True))) + GI = nx.Graph(dol) + assert nodes_equal(sorted(XGS.nodes()), sorted(GI.nodes())) + assert edges_equal(enone, sorted(GI.edges(data=True))) + + # Dict of dicts + # with multiedges, OK + dod = to_dict_of_dicts(XGM) + GG = from_dict_of_dicts(dod, create_using=nx.MultiGraph, multigraph_input=True) + assert nodes_equal(sorted(XGM.nodes()), sorted(GG.nodes())) + assert edges_equal(sorted(XGM.edges()), sorted(GG.edges())) + GW = to_networkx_graph(dod, create_using=nx.MultiGraph, multigraph_input=True) + assert nodes_equal(sorted(XGM.nodes()), sorted(GW.nodes())) + assert edges_equal(sorted(XGM.edges()), sorted(GW.edges())) + GI = nx.MultiGraph(dod) + assert nodes_equal(sorted(XGM.nodes()), sorted(GI.nodes())) + assert sorted(XGM.edges()) == sorted(GI.edges()) + GE = from_dict_of_dicts(dod, create_using=nx.MultiGraph, multigraph_input=False) + assert nodes_equal(sorted(XGM.nodes()), sorted(GE.nodes())) + assert sorted(XGM.edges()) != sorted(GE.edges()) + GI = nx.MultiGraph(XGM) + assert nodes_equal(sorted(XGM.nodes()), sorted(GI.nodes())) + assert edges_equal(sorted(XGM.edges()), sorted(GI.edges())) + GM = nx.MultiGraph(G) + assert nodes_equal(sorted(GM.nodes()), sorted(G.nodes())) + assert edges_equal(sorted(GM.edges()), sorted(G.edges())) + + # Dict of lists + # with multiedges, OK, but better write as DiGraph else you'll + # get double edges + dol = to_dict_of_lists(G) + GG = from_dict_of_lists(dol, create_using=nx.MultiGraph) + assert nodes_equal(sorted(G.nodes()), sorted(GG.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GG.edges())) + GW = to_networkx_graph(dol, create_using=nx.MultiGraph) + assert nodes_equal(sorted(G.nodes()), sorted(GW.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GW.edges())) + GI = nx.MultiGraph(dol) + assert nodes_equal(sorted(G.nodes()), sorted(GI.nodes())) + assert edges_equal(sorted(G.edges()), sorted(GI.edges())) + + def test_edgelists(self): + P = nx.path_graph(4) + e = [(0, 1), (1, 2), (2, 3)] + G = nx.Graph(e) + assert nodes_equal(sorted(G.nodes()), sorted(P.nodes())) + assert edges_equal(sorted(G.edges()), sorted(P.edges())) + assert edges_equal(sorted(G.edges(data=True)), sorted(P.edges(data=True))) + + e = [(0, 1, {}), (1, 2, {}), (2, 3, {})] + G = nx.Graph(e) + assert nodes_equal(sorted(G.nodes()), sorted(P.nodes())) + assert edges_equal(sorted(G.edges()), sorted(P.edges())) + assert edges_equal(sorted(G.edges(data=True)), sorted(P.edges(data=True))) + + e = ((n, n + 1) for n in range(3)) + G = nx.Graph(e) + assert nodes_equal(sorted(G.nodes()), sorted(P.nodes())) + assert edges_equal(sorted(G.edges()), sorted(P.edges())) + assert edges_equal(sorted(G.edges(data=True)), sorted(P.edges(data=True))) + + def test_directed_to_undirected(self): + edges1 = [(0, 1), (1, 2), (2, 0)] + edges2 = [(0, 1), (1, 2), (0, 2)] + assert self.edgelists_equal(nx.Graph(nx.DiGraph(edges1)).edges(), edges1) + assert self.edgelists_equal(nx.Graph(nx.DiGraph(edges2)).edges(), edges1) + assert self.edgelists_equal(nx.MultiGraph(nx.DiGraph(edges1)).edges(), edges1) + assert self.edgelists_equal(nx.MultiGraph(nx.DiGraph(edges2)).edges(), edges1) + + assert self.edgelists_equal( + nx.MultiGraph(nx.MultiDiGraph(edges1)).edges(), edges1 + ) + assert self.edgelists_equal( + nx.MultiGraph(nx.MultiDiGraph(edges2)).edges(), edges1 + ) + + assert self.edgelists_equal(nx.Graph(nx.MultiDiGraph(edges1)).edges(), edges1) + assert self.edgelists_equal(nx.Graph(nx.MultiDiGraph(edges2)).edges(), edges1) + + def test_attribute_dict_integrity(self): + # we must not replace dict-like graph data structures with dicts + G = nx.Graph() + G.add_nodes_from("abc") + H = to_networkx_graph(G, create_using=nx.Graph) + assert list(H.nodes) == list(G.nodes) + H = nx.DiGraph(G) + assert list(H.nodes) == list(G.nodes) + + def test_to_edgelist(self): + G = nx.Graph([(1, 1)]) + elist = nx.to_edgelist(G, nodelist=list(G)) + assert edges_equal(G.edges(data=True), elist) + + def test_custom_node_attr_dict_safekeeping(self): + class custom_dict(dict): + pass + + class Custom(nx.Graph): + node_attr_dict_factory = custom_dict + + g = nx.Graph() + g.add_node(1, weight=1) + + h = Custom(g) + assert isinstance(g._node[1], dict) + assert isinstance(h._node[1], custom_dict) + + # this raise exception + # h._node.update((n, dd.copy()) for n, dd in g.nodes.items()) + # assert isinstance(h._node[1], custom_dict) + + +@pytest.mark.parametrize( + "edgelist", + ( + # Graph with no edge data + [(0, 1), (1, 2)], + # Graph with edge data + [(0, 1, {"weight": 1.0}), (1, 2, {"weight": 2.0})], + ), +) +def test_to_dict_of_dicts_with_edgedata_param(edgelist): + G = nx.Graph() + G.add_edges_from(edgelist) + # Innermost dict value == edge_data when edge_data != None. + # In the case when G has edge data, it is overwritten + expected = {0: {1: 10}, 1: {0: 10, 2: 10}, 2: {1: 10}} + assert nx.to_dict_of_dicts(G, edge_data=10) == expected + + +def test_to_dict_of_dicts_with_edgedata_and_nodelist(): + G = nx.path_graph(5) + nodelist = [2, 3, 4] + expected = {2: {3: 10}, 3: {2: 10, 4: 10}, 4: {3: 10}} + assert nx.to_dict_of_dicts(G, nodelist=nodelist, edge_data=10) == expected + + +def test_to_dict_of_dicts_with_edgedata_multigraph(): + """Multi edge data overwritten when edge_data != None""" + G = nx.MultiGraph() + G.add_edge(0, 1, key="a") + G.add_edge(0, 1, key="b") + # Multi edge data lost when edge_data is not None + expected = {0: {1: 10}, 1: {0: 10}} + assert nx.to_dict_of_dicts(G, edge_data=10) == expected + + +def test_to_networkx_graph_non_edgelist(): + invalid_edgelist = [1, 2, 3] + with pytest.raises(nx.NetworkXError, match="Input is not a valid edge list"): + nx.to_networkx_graph(invalid_edgelist) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_numpy.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_numpy.py new file mode 100644 index 0000000000000000000000000000000000000000..1c39afdedd1224b0408506e4394da79212184f38 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_numpy.py @@ -0,0 +1,532 @@ +import itertools + +import pytest + +np = pytest.importorskip("numpy") +npt = pytest.importorskip("numpy.testing") + +import networkx as nx +from networkx.generators.classic import barbell_graph, cycle_graph, path_graph +from networkx.utils import graphs_equal + + +class TestConvertNumpyArray: + def setup_method(self): + self.G1 = barbell_graph(10, 3) + self.G2 = cycle_graph(10, create_using=nx.DiGraph) + self.G3 = self.create_weighted(nx.Graph()) + self.G4 = self.create_weighted(nx.DiGraph()) + + def create_weighted(self, G): + g = cycle_graph(4) + G.add_nodes_from(g) + G.add_weighted_edges_from((u, v, 10 + u) for u, v in g.edges()) + return G + + def assert_equal(self, G1, G2): + assert sorted(G1.nodes()) == sorted(G2.nodes()) + assert sorted(G1.edges()) == sorted(G2.edges()) + + def identity_conversion(self, G, A, create_using): + assert A.sum() > 0 + GG = nx.from_numpy_array(A, create_using=create_using) + self.assert_equal(G, GG) + GW = nx.to_networkx_graph(A, create_using=create_using) + self.assert_equal(G, GW) + GI = nx.empty_graph(0, create_using).__class__(A) + self.assert_equal(G, GI) + + def test_shape(self): + "Conversion from non-square array." + A = np.array([[1, 2, 3], [4, 5, 6]]) + pytest.raises(nx.NetworkXError, nx.from_numpy_array, A) + + def test_identity_graph_array(self): + "Conversion from graph to array to graph." + A = nx.to_numpy_array(self.G1) + self.identity_conversion(self.G1, A, nx.Graph()) + + def test_identity_digraph_array(self): + """Conversion from digraph to array to digraph.""" + A = nx.to_numpy_array(self.G2) + self.identity_conversion(self.G2, A, nx.DiGraph()) + + def test_identity_weighted_graph_array(self): + """Conversion from weighted graph to array to weighted graph.""" + A = nx.to_numpy_array(self.G3) + self.identity_conversion(self.G3, A, nx.Graph()) + + def test_identity_weighted_digraph_array(self): + """Conversion from weighted digraph to array to weighted digraph.""" + A = nx.to_numpy_array(self.G4) + self.identity_conversion(self.G4, A, nx.DiGraph()) + + def test_nodelist(self): + """Conversion from graph to array to graph with nodelist.""" + P4 = path_graph(4) + P3 = path_graph(3) + nodelist = list(P3) + A = nx.to_numpy_array(P4, nodelist=nodelist) + GA = nx.Graph(A) + self.assert_equal(GA, P3) + + # Make nodelist ambiguous by containing duplicates. + nodelist += [nodelist[0]] + pytest.raises(nx.NetworkXError, nx.to_numpy_array, P3, nodelist=nodelist) + + # Make nodelist invalid by including nonexistent nodes + nodelist = [-1, 0, 1] + with pytest.raises( + nx.NetworkXError, + match=f"Nodes {nodelist - P3.nodes} in nodelist is not in G", + ): + nx.to_numpy_array(P3, nodelist=nodelist) + + def test_weight_keyword(self): + WP4 = nx.Graph() + WP4.add_edges_from((n, n + 1, {"weight": 0.5, "other": 0.3}) for n in range(3)) + P4 = path_graph(4) + A = nx.to_numpy_array(P4) + np.testing.assert_equal(A, nx.to_numpy_array(WP4, weight=None)) + np.testing.assert_equal(0.5 * A, nx.to_numpy_array(WP4)) + np.testing.assert_equal(0.3 * A, nx.to_numpy_array(WP4, weight="other")) + + def test_from_numpy_array_type(self): + A = np.array([[1]]) + G = nx.from_numpy_array(A) + assert type(G[0][0]["weight"]) == int + + A = np.array([[1]]).astype(float) + G = nx.from_numpy_array(A) + assert type(G[0][0]["weight"]) == float + + A = np.array([[1]]).astype(str) + G = nx.from_numpy_array(A) + assert type(G[0][0]["weight"]) == str + + A = np.array([[1]]).astype(bool) + G = nx.from_numpy_array(A) + assert type(G[0][0]["weight"]) == bool + + A = np.array([[1]]).astype(complex) + G = nx.from_numpy_array(A) + assert type(G[0][0]["weight"]) == complex + + A = np.array([[1]]).astype(object) + pytest.raises(TypeError, nx.from_numpy_array, A) + + A = np.array([[[1, 1, 1], [1, 1, 1]], [[1, 1, 1], [1, 1, 1]]]) + with pytest.raises( + nx.NetworkXError, match=f"Input array must be 2D, not {A.ndim}" + ): + g = nx.from_numpy_array(A) + + def test_from_numpy_array_dtype(self): + dt = [("weight", float), ("cost", int)] + A = np.array([[(1.0, 2)]], dtype=dt) + G = nx.from_numpy_array(A) + assert type(G[0][0]["weight"]) == float + assert type(G[0][0]["cost"]) == int + assert G[0][0]["cost"] == 2 + assert G[0][0]["weight"] == 1.0 + + def test_from_numpy_array_parallel_edges(self): + """Tests that the :func:`networkx.from_numpy_array` function + interprets integer weights as the number of parallel edges when + creating a multigraph. + + """ + A = np.array([[1, 1], [1, 2]]) + # First, with a simple graph, each integer entry in the adjacency + # matrix is interpreted as the weight of a single edge in the graph. + expected = nx.DiGraph() + edges = [(0, 0), (0, 1), (1, 0)] + expected.add_weighted_edges_from([(u, v, 1) for (u, v) in edges]) + expected.add_edge(1, 1, weight=2) + actual = nx.from_numpy_array(A, parallel_edges=True, create_using=nx.DiGraph) + assert graphs_equal(actual, expected) + actual = nx.from_numpy_array(A, parallel_edges=False, create_using=nx.DiGraph) + assert graphs_equal(actual, expected) + # Now each integer entry in the adjacency matrix is interpreted as the + # number of parallel edges in the graph if the appropriate keyword + # argument is specified. + edges = [(0, 0), (0, 1), (1, 0), (1, 1), (1, 1)] + expected = nx.MultiDiGraph() + expected.add_weighted_edges_from([(u, v, 1) for (u, v) in edges]) + actual = nx.from_numpy_array( + A, parallel_edges=True, create_using=nx.MultiDiGraph + ) + assert graphs_equal(actual, expected) + expected = nx.MultiDiGraph() + expected.add_edges_from(set(edges), weight=1) + # The sole self-loop (edge 0) on vertex 1 should have weight 2. + expected[1][1][0]["weight"] = 2 + actual = nx.from_numpy_array( + A, parallel_edges=False, create_using=nx.MultiDiGraph + ) + assert graphs_equal(actual, expected) + + @pytest.mark.parametrize( + "dt", + ( + None, # default + int, # integer dtype + np.dtype( + [("weight", "f8"), ("color", "i1")] + ), # Structured dtype with named fields + ), + ) + def test_from_numpy_array_no_edge_attr(self, dt): + A = np.array([[0, 1], [1, 0]], dtype=dt) + G = nx.from_numpy_array(A, edge_attr=None) + assert "weight" not in G.edges[0, 1] + assert len(G.edges[0, 1]) == 0 + + def test_from_numpy_array_multiedge_no_edge_attr(self): + A = np.array([[0, 2], [2, 0]]) + G = nx.from_numpy_array(A, create_using=nx.MultiDiGraph, edge_attr=None) + assert all("weight" not in e for _, e in G[0][1].items()) + assert len(G[0][1][0]) == 0 + + def test_from_numpy_array_custom_edge_attr(self): + A = np.array([[0, 2], [3, 0]]) + G = nx.from_numpy_array(A, edge_attr="cost") + assert "weight" not in G.edges[0, 1] + assert G.edges[0, 1]["cost"] == 3 + + def test_symmetric(self): + """Tests that a symmetric array has edges added only once to an + undirected multigraph when using :func:`networkx.from_numpy_array`. + + """ + A = np.array([[0, 1], [1, 0]]) + G = nx.from_numpy_array(A, create_using=nx.MultiGraph) + expected = nx.MultiGraph() + expected.add_edge(0, 1, weight=1) + assert graphs_equal(G, expected) + + def test_dtype_int_graph(self): + """Test that setting dtype int actually gives an integer array. + + For more information, see GitHub pull request #1363. + + """ + G = nx.complete_graph(3) + A = nx.to_numpy_array(G, dtype=int) + assert A.dtype == int + + def test_dtype_int_multigraph(self): + """Test that setting dtype int actually gives an integer array. + + For more information, see GitHub pull request #1363. + + """ + G = nx.MultiGraph(nx.complete_graph(3)) + A = nx.to_numpy_array(G, dtype=int) + assert A.dtype == int + + +@pytest.fixture +def multigraph_test_graph(): + G = nx.MultiGraph() + G.add_edge(1, 2, weight=7) + G.add_edge(1, 2, weight=70) + return G + + +@pytest.mark.parametrize(("operator", "expected"), ((sum, 77), (min, 7), (max, 70))) +def test_numpy_multigraph(multigraph_test_graph, operator, expected): + A = nx.to_numpy_array(multigraph_test_graph, multigraph_weight=operator) + assert A[1, 0] == expected + + +def test_to_numpy_array_multigraph_nodelist(multigraph_test_graph): + G = multigraph_test_graph + G.add_edge(0, 1, weight=3) + A = nx.to_numpy_array(G, nodelist=[1, 2]) + assert A.shape == (2, 2) + assert A[1, 0] == 77 + + +@pytest.mark.parametrize( + "G, expected", + [ + (nx.Graph(), np.array([[0, 1 + 2j], [1 + 2j, 0]], dtype=complex)), + (nx.DiGraph(), np.array([[0, 1 + 2j], [0, 0]], dtype=complex)), + ], +) +def test_to_numpy_array_complex_weights(G, expected): + G.add_edge(0, 1, weight=1 + 2j) + A = nx.to_numpy_array(G, dtype=complex) + npt.assert_array_equal(A, expected) + + +def test_to_numpy_array_arbitrary_weights(): + G = nx.DiGraph() + w = 922337203685477580102 # Out of range for int64 + G.add_edge(0, 1, weight=922337203685477580102) # val not representable by int64 + A = nx.to_numpy_array(G, dtype=object) + expected = np.array([[0, w], [0, 0]], dtype=object) + npt.assert_array_equal(A, expected) + + # Undirected + A = nx.to_numpy_array(G.to_undirected(), dtype=object) + expected = np.array([[0, w], [w, 0]], dtype=object) + npt.assert_array_equal(A, expected) + + +@pytest.mark.parametrize( + "func, expected", + ((min, -1), (max, 10), (sum, 11), (np.mean, 11 / 3), (np.median, 2)), +) +def test_to_numpy_array_multiweight_reduction(func, expected): + """Test various functions for reducing multiedge weights.""" + G = nx.MultiDiGraph() + weights = [-1, 2, 10.0] + for w in weights: + G.add_edge(0, 1, weight=w) + A = nx.to_numpy_array(G, multigraph_weight=func, dtype=float) + assert np.allclose(A, [[0, expected], [0, 0]]) + + # Undirected case + A = nx.to_numpy_array(G.to_undirected(), multigraph_weight=func, dtype=float) + assert np.allclose(A, [[0, expected], [expected, 0]]) + + +@pytest.mark.parametrize( + ("G, expected"), + [ + (nx.Graph(), [[(0, 0), (10, 5)], [(10, 5), (0, 0)]]), + (nx.DiGraph(), [[(0, 0), (10, 5)], [(0, 0), (0, 0)]]), + ], +) +def test_to_numpy_array_structured_dtype_attrs_from_fields(G, expected): + """When `dtype` is structured (i.e. has names) and `weight` is None, use + the named fields of the dtype to look up edge attributes.""" + G.add_edge(0, 1, weight=10, cost=5.0) + dtype = np.dtype([("weight", int), ("cost", int)]) + A = nx.to_numpy_array(G, dtype=dtype, weight=None) + expected = np.asarray(expected, dtype=dtype) + npt.assert_array_equal(A, expected) + + +def test_to_numpy_array_structured_dtype_single_attr_default(): + G = nx.path_graph(3) + dtype = np.dtype([("weight", float)]) # A single named field + A = nx.to_numpy_array(G, dtype=dtype, weight=None) + expected = np.array([[0, 1, 0], [1, 0, 1], [0, 1, 0]], dtype=float) + npt.assert_array_equal(A["weight"], expected) + + +@pytest.mark.parametrize( + ("field_name", "expected_attr_val"), + [ + ("weight", 1), + ("cost", 3), + ], +) +def test_to_numpy_array_structured_dtype_single_attr(field_name, expected_attr_val): + G = nx.Graph() + G.add_edge(0, 1, cost=3) + dtype = np.dtype([(field_name, float)]) + A = nx.to_numpy_array(G, dtype=dtype, weight=None) + expected = np.array([[0, expected_attr_val], [expected_attr_val, 0]], dtype=float) + npt.assert_array_equal(A[field_name], expected) + + +@pytest.mark.parametrize("graph_type", (nx.Graph, nx.DiGraph)) +@pytest.mark.parametrize( + "edge", + [ + (0, 1), # No edge attributes + (0, 1, {"weight": 10}), # One edge attr + (0, 1, {"weight": 5, "flow": -4}), # Multiple but not all edge attrs + (0, 1, {"weight": 2.0, "cost": 10, "flow": -45}), # All attrs + ], +) +def test_to_numpy_array_structured_dtype_multiple_fields(graph_type, edge): + G = graph_type([edge]) + dtype = np.dtype([("weight", float), ("cost", float), ("flow", float)]) + A = nx.to_numpy_array(G, dtype=dtype, weight=None) + for attr in dtype.names: + expected = nx.to_numpy_array(G, dtype=float, weight=attr) + npt.assert_array_equal(A[attr], expected) + + +@pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph())) +def test_to_numpy_array_structured_dtype_scalar_nonedge(G): + G.add_edge(0, 1, weight=10) + dtype = np.dtype([("weight", float), ("cost", float)]) + A = nx.to_numpy_array(G, dtype=dtype, weight=None, nonedge=np.nan) + for attr in dtype.names: + expected = nx.to_numpy_array(G, dtype=float, weight=attr, nonedge=np.nan) + npt.assert_array_equal(A[attr], expected) + + +@pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph())) +def test_to_numpy_array_structured_dtype_nonedge_ary(G): + """Similar to the scalar case, except has a different non-edge value for + each named field.""" + G.add_edge(0, 1, weight=10) + dtype = np.dtype([("weight", float), ("cost", float)]) + nonedges = np.array([(0, np.inf)], dtype=dtype) + A = nx.to_numpy_array(G, dtype=dtype, weight=None, nonedge=nonedges) + for attr in dtype.names: + nonedge = nonedges[attr] + expected = nx.to_numpy_array(G, dtype=float, weight=attr, nonedge=nonedge) + npt.assert_array_equal(A[attr], expected) + + +def test_to_numpy_array_structured_dtype_with_weight_raises(): + """Using both a structured dtype (with named fields) and specifying a `weight` + parameter is ambiguous.""" + G = nx.path_graph(3) + dtype = np.dtype([("weight", int), ("cost", int)]) + exception_msg = "Specifying `weight` not supported for structured dtypes" + with pytest.raises(ValueError, match=exception_msg): + nx.to_numpy_array(G, dtype=dtype) # Default is weight="weight" + with pytest.raises(ValueError, match=exception_msg): + nx.to_numpy_array(G, dtype=dtype, weight="cost") + + +@pytest.mark.parametrize("graph_type", (nx.MultiGraph, nx.MultiDiGraph)) +def test_to_numpy_array_structured_multigraph_raises(graph_type): + G = nx.path_graph(3, create_using=graph_type) + dtype = np.dtype([("weight", int), ("cost", int)]) + with pytest.raises(nx.NetworkXError, match="Structured arrays are not supported"): + nx.to_numpy_array(G, dtype=dtype, weight=None) + + +def test_from_numpy_array_nodelist_bad_size(): + """An exception is raised when `len(nodelist) != A.shape[0]`.""" + n = 5 # Number of nodes + A = np.diag(np.ones(n - 1), k=1) # Adj. matrix for P_n + expected = nx.path_graph(n) + + assert graphs_equal(nx.from_numpy_array(A, edge_attr=None), expected) + nodes = list(range(n)) + assert graphs_equal( + nx.from_numpy_array(A, edge_attr=None, nodelist=nodes), expected + ) + + # Too many node labels + nodes = list(range(n + 1)) + with pytest.raises(ValueError, match="nodelist must have the same length as A"): + nx.from_numpy_array(A, nodelist=nodes) + + # Too few node labels + nodes = list(range(n - 1)) + with pytest.raises(ValueError, match="nodelist must have the same length as A"): + nx.from_numpy_array(A, nodelist=nodes) + + +@pytest.mark.parametrize( + "nodes", + ( + [4, 3, 2, 1, 0], + [9, 7, 1, 2, 8], + ["a", "b", "c", "d", "e"], + [(0, 0), (1, 1), (2, 3), (0, 2), (3, 1)], + ["A", 2, 7, "spam", (1, 3)], + ), +) +def test_from_numpy_array_nodelist(nodes): + A = np.diag(np.ones(4), k=1) + # Without edge attributes + expected = nx.relabel_nodes( + nx.path_graph(5), mapping=dict(enumerate(nodes)), copy=True + ) + G = nx.from_numpy_array(A, edge_attr=None, nodelist=nodes) + assert graphs_equal(G, expected) + + # With edge attributes + nx.set_edge_attributes(expected, 1.0, name="weight") + G = nx.from_numpy_array(A, nodelist=nodes) + assert graphs_equal(G, expected) + + +@pytest.mark.parametrize( + "nodes", + ( + [4, 3, 2, 1, 0], + [9, 7, 1, 2, 8], + ["a", "b", "c", "d", "e"], + [(0, 0), (1, 1), (2, 3), (0, 2), (3, 1)], + ["A", 2, 7, "spam", (1, 3)], + ), +) +def test_from_numpy_array_nodelist_directed(nodes): + A = np.diag(np.ones(4), k=1) + # Without edge attributes + H = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 4)]) + expected = nx.relabel_nodes(H, mapping=dict(enumerate(nodes)), copy=True) + G = nx.from_numpy_array(A, create_using=nx.DiGraph, edge_attr=None, nodelist=nodes) + assert graphs_equal(G, expected) + + # With edge attributes + nx.set_edge_attributes(expected, 1.0, name="weight") + G = nx.from_numpy_array(A, create_using=nx.DiGraph, nodelist=nodes) + assert graphs_equal(G, expected) + + +@pytest.mark.parametrize( + "nodes", + ( + [4, 3, 2, 1, 0], + [9, 7, 1, 2, 8], + ["a", "b", "c", "d", "e"], + [(0, 0), (1, 1), (2, 3), (0, 2), (3, 1)], + ["A", 2, 7, "spam", (1, 3)], + ), +) +def test_from_numpy_array_nodelist_multigraph(nodes): + A = np.array( + [ + [0, 1, 0, 0, 0], + [1, 0, 2, 0, 0], + [0, 2, 0, 3, 0], + [0, 0, 3, 0, 4], + [0, 0, 0, 4, 0], + ] + ) + + H = nx.MultiGraph() + for i, edge in enumerate(((0, 1), (1, 2), (2, 3), (3, 4))): + H.add_edges_from(itertools.repeat(edge, i + 1)) + expected = nx.relabel_nodes(H, mapping=dict(enumerate(nodes)), copy=True) + + G = nx.from_numpy_array( + A, + parallel_edges=True, + create_using=nx.MultiGraph, + edge_attr=None, + nodelist=nodes, + ) + assert graphs_equal(G, expected) + + +@pytest.mark.parametrize( + "nodes", + ( + [4, 3, 2, 1, 0], + [9, 7, 1, 2, 8], + ["a", "b", "c", "d", "e"], + [(0, 0), (1, 1), (2, 3), (0, 2), (3, 1)], + ["A", 2, 7, "spam", (1, 3)], + ), +) +@pytest.mark.parametrize("graph", (nx.complete_graph, nx.cycle_graph, nx.wheel_graph)) +def test_from_numpy_array_nodelist_rountrip(graph, nodes): + G = graph(5) + A = nx.to_numpy_array(G) + expected = nx.relabel_nodes(G, mapping=dict(enumerate(nodes)), copy=True) + H = nx.from_numpy_array(A, edge_attr=None, nodelist=nodes) + assert graphs_equal(H, expected) + + # With an isolated node + G = graph(4) + G.add_node("foo") + A = nx.to_numpy_array(G) + expected = nx.relabel_nodes(G, mapping=dict(zip(G.nodes, nodes)), copy=True) + H = nx.from_numpy_array(A, edge_attr=None, nodelist=nodes) + assert graphs_equal(H, expected) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_pandas.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_pandas.py new file mode 100644 index 0000000000000000000000000000000000000000..8c3f02a04300f0c2b316147925d164a7959d656b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_pandas.py @@ -0,0 +1,349 @@ +import pytest + +import networkx as nx +from networkx.utils import edges_equal, graphs_equal, nodes_equal + +np = pytest.importorskip("numpy") +pd = pytest.importorskip("pandas") + + +class TestConvertPandas: + def setup_method(self): + self.rng = np.random.RandomState(seed=5) + ints = self.rng.randint(1, 11, size=(3, 2)) + a = ["A", "B", "C"] + b = ["D", "A", "E"] + df = pd.DataFrame(ints, columns=["weight", "cost"]) + df[0] = a # Column label 0 (int) + df["b"] = b # Column label 'b' (str) + self.df = df + + mdf = pd.DataFrame([[4, 16, "A", "D"]], columns=["weight", "cost", 0, "b"]) + self.mdf = pd.concat([df, mdf]) + + def test_exceptions(self): + G = pd.DataFrame(["a"]) # adj + pytest.raises(nx.NetworkXError, nx.to_networkx_graph, G) + G = pd.DataFrame(["a", 0.0]) # elist + pytest.raises(nx.NetworkXError, nx.to_networkx_graph, G) + df = pd.DataFrame([[1, 1], [1, 0]], dtype=int, index=[1, 2], columns=["a", "b"]) + pytest.raises(nx.NetworkXError, nx.from_pandas_adjacency, df) + + def test_from_edgelist_all_attr(self): + Gtrue = nx.Graph( + [ + ("E", "C", {"cost": 9, "weight": 10}), + ("B", "A", {"cost": 1, "weight": 7}), + ("A", "D", {"cost": 7, "weight": 4}), + ] + ) + G = nx.from_pandas_edgelist(self.df, 0, "b", True) + assert graphs_equal(G, Gtrue) + # MultiGraph + MGtrue = nx.MultiGraph(Gtrue) + MGtrue.add_edge("A", "D", cost=16, weight=4) + MG = nx.from_pandas_edgelist(self.mdf, 0, "b", True, nx.MultiGraph()) + assert graphs_equal(MG, MGtrue) + + def test_from_edgelist_multi_attr(self): + Gtrue = nx.Graph( + [ + ("E", "C", {"cost": 9, "weight": 10}), + ("B", "A", {"cost": 1, "weight": 7}), + ("A", "D", {"cost": 7, "weight": 4}), + ] + ) + G = nx.from_pandas_edgelist(self.df, 0, "b", ["weight", "cost"]) + assert graphs_equal(G, Gtrue) + + def test_from_edgelist_multi_attr_incl_target(self): + Gtrue = nx.Graph( + [ + ("E", "C", {0: "C", "b": "E", "weight": 10}), + ("B", "A", {0: "B", "b": "A", "weight": 7}), + ("A", "D", {0: "A", "b": "D", "weight": 4}), + ] + ) + G = nx.from_pandas_edgelist(self.df, 0, "b", [0, "b", "weight"]) + assert graphs_equal(G, Gtrue) + + def test_from_edgelist_multidigraph_and_edge_attr(self): + # example from issue #2374 + edges = [ + ("X1", "X4", {"Co": "zA", "Mi": 0, "St": "X1"}), + ("X1", "X4", {"Co": "zB", "Mi": 54, "St": "X2"}), + ("X1", "X4", {"Co": "zB", "Mi": 49, "St": "X3"}), + ("X1", "X4", {"Co": "zB", "Mi": 44, "St": "X4"}), + ("Y1", "Y3", {"Co": "zC", "Mi": 0, "St": "Y1"}), + ("Y1", "Y3", {"Co": "zC", "Mi": 34, "St": "Y2"}), + ("Y1", "Y3", {"Co": "zC", "Mi": 29, "St": "X2"}), + ("Y1", "Y3", {"Co": "zC", "Mi": 24, "St": "Y3"}), + ("Z1", "Z3", {"Co": "zD", "Mi": 0, "St": "Z1"}), + ("Z1", "Z3", {"Co": "zD", "Mi": 14, "St": "X3"}), + ] + Gtrue = nx.MultiDiGraph(edges) + data = { + "O": ["X1", "X1", "X1", "X1", "Y1", "Y1", "Y1", "Y1", "Z1", "Z1"], + "D": ["X4", "X4", "X4", "X4", "Y3", "Y3", "Y3", "Y3", "Z3", "Z3"], + "St": ["X1", "X2", "X3", "X4", "Y1", "Y2", "X2", "Y3", "Z1", "X3"], + "Co": ["zA", "zB", "zB", "zB", "zC", "zC", "zC", "zC", "zD", "zD"], + "Mi": [0, 54, 49, 44, 0, 34, 29, 24, 0, 14], + } + df = pd.DataFrame.from_dict(data) + G1 = nx.from_pandas_edgelist( + df, source="O", target="D", edge_attr=True, create_using=nx.MultiDiGraph + ) + G2 = nx.from_pandas_edgelist( + df, + source="O", + target="D", + edge_attr=["St", "Co", "Mi"], + create_using=nx.MultiDiGraph, + ) + assert graphs_equal(G1, Gtrue) + assert graphs_equal(G2, Gtrue) + + def test_from_edgelist_one_attr(self): + Gtrue = nx.Graph( + [ + ("E", "C", {"weight": 10}), + ("B", "A", {"weight": 7}), + ("A", "D", {"weight": 4}), + ] + ) + G = nx.from_pandas_edgelist(self.df, 0, "b", "weight") + assert graphs_equal(G, Gtrue) + + def test_from_edgelist_int_attr_name(self): + # note: this also tests that edge_attr can be `source` + Gtrue = nx.Graph( + [("E", "C", {0: "C"}), ("B", "A", {0: "B"}), ("A", "D", {0: "A"})] + ) + G = nx.from_pandas_edgelist(self.df, 0, "b", 0) + assert graphs_equal(G, Gtrue) + + def test_from_edgelist_invalid_attr(self): + pytest.raises( + nx.NetworkXError, nx.from_pandas_edgelist, self.df, 0, "b", "misspell" + ) + pytest.raises(nx.NetworkXError, nx.from_pandas_edgelist, self.df, 0, "b", 1) + # see Issue #3562 + edgeframe = pd.DataFrame([[0, 1], [1, 2], [2, 0]], columns=["s", "t"]) + pytest.raises( + nx.NetworkXError, nx.from_pandas_edgelist, edgeframe, "s", "t", True + ) + pytest.raises( + nx.NetworkXError, nx.from_pandas_edgelist, edgeframe, "s", "t", "weight" + ) + pytest.raises( + nx.NetworkXError, + nx.from_pandas_edgelist, + edgeframe, + "s", + "t", + ["weight", "size"], + ) + + def test_from_edgelist_no_attr(self): + Gtrue = nx.Graph([("E", "C", {}), ("B", "A", {}), ("A", "D", {})]) + G = nx.from_pandas_edgelist(self.df, 0, "b") + assert graphs_equal(G, Gtrue) + + def test_from_edgelist(self): + # Pandas DataFrame + G = nx.cycle_graph(10) + G.add_weighted_edges_from((u, v, u) for u, v in list(G.edges)) + + edgelist = nx.to_edgelist(G) + source = [s for s, t, d in edgelist] + target = [t for s, t, d in edgelist] + weight = [d["weight"] for s, t, d in edgelist] + edges = pd.DataFrame({"source": source, "target": target, "weight": weight}) + + GG = nx.from_pandas_edgelist(edges, edge_attr="weight") + assert nodes_equal(G.nodes(), GG.nodes()) + assert edges_equal(G.edges(), GG.edges()) + GW = nx.to_networkx_graph(edges, create_using=nx.Graph) + assert nodes_equal(G.nodes(), GW.nodes()) + assert edges_equal(G.edges(), GW.edges()) + + def test_to_edgelist_default_source_or_target_col_exists(self): + G = nx.path_graph(10) + G.add_weighted_edges_from((u, v, u) for u, v in list(G.edges)) + nx.set_edge_attributes(G, 0, name="source") + pytest.raises(nx.NetworkXError, nx.to_pandas_edgelist, G) + + # drop source column to test an exception raised for the target column + for u, v, d in G.edges(data=True): + d.pop("source", None) + + nx.set_edge_attributes(G, 0, name="target") + pytest.raises(nx.NetworkXError, nx.to_pandas_edgelist, G) + + def test_to_edgelist_custom_source_or_target_col_exists(self): + G = nx.path_graph(10) + G.add_weighted_edges_from((u, v, u) for u, v in list(G.edges)) + nx.set_edge_attributes(G, 0, name="source_col_name") + pytest.raises( + nx.NetworkXError, nx.to_pandas_edgelist, G, source="source_col_name" + ) + + # drop source column to test an exception raised for the target column + for u, v, d in G.edges(data=True): + d.pop("source_col_name", None) + + nx.set_edge_attributes(G, 0, name="target_col_name") + pytest.raises( + nx.NetworkXError, nx.to_pandas_edgelist, G, target="target_col_name" + ) + + def test_to_edgelist_edge_key_col_exists(self): + G = nx.path_graph(10, create_using=nx.MultiGraph) + G.add_weighted_edges_from((u, v, u) for u, v in list(G.edges())) + nx.set_edge_attributes(G, 0, name="edge_key_name") + pytest.raises( + nx.NetworkXError, nx.to_pandas_edgelist, G, edge_key="edge_key_name" + ) + + def test_from_adjacency(self): + nodelist = [1, 2] + dftrue = pd.DataFrame( + [[1, 1], [1, 0]], dtype=int, index=nodelist, columns=nodelist + ) + G = nx.Graph([(1, 1), (1, 2)]) + df = nx.to_pandas_adjacency(G, dtype=int) + pd.testing.assert_frame_equal(df, dftrue) + + @pytest.mark.parametrize("graph", [nx.Graph, nx.MultiGraph]) + def test_roundtrip(self, graph): + # edgelist + Gtrue = graph([(1, 1), (1, 2)]) + df = nx.to_pandas_edgelist(Gtrue) + G = nx.from_pandas_edgelist(df, create_using=graph) + assert graphs_equal(Gtrue, G) + # adjacency + adj = {1: {1: {"weight": 1}, 2: {"weight": 1}}, 2: {1: {"weight": 1}}} + Gtrue = graph(adj) + df = nx.to_pandas_adjacency(Gtrue, dtype=int) + G = nx.from_pandas_adjacency(df, create_using=graph) + assert graphs_equal(Gtrue, G) + + def test_from_adjacency_named(self): + # example from issue #3105 + data = { + "A": {"A": 0, "B": 0, "C": 0}, + "B": {"A": 1, "B": 0, "C": 0}, + "C": {"A": 0, "B": 1, "C": 0}, + } + dftrue = pd.DataFrame(data, dtype=np.intp) + df = dftrue[["A", "C", "B"]] + G = nx.from_pandas_adjacency(df, create_using=nx.DiGraph()) + df = nx.to_pandas_adjacency(G, dtype=np.intp) + pd.testing.assert_frame_equal(df, dftrue) + + @pytest.mark.parametrize("edge_attr", [["attr2", "attr3"], True]) + def test_edgekey_with_multigraph(self, edge_attr): + df = pd.DataFrame( + { + "source": {"A": "N1", "B": "N2", "C": "N1", "D": "N1"}, + "target": {"A": "N2", "B": "N3", "C": "N1", "D": "N2"}, + "attr1": {"A": "F1", "B": "F2", "C": "F3", "D": "F4"}, + "attr2": {"A": 1, "B": 0, "C": 0, "D": 0}, + "attr3": {"A": 0, "B": 1, "C": 0, "D": 1}, + } + ) + Gtrue = nx.MultiGraph( + [ + ("N1", "N2", "F1", {"attr2": 1, "attr3": 0}), + ("N2", "N3", "F2", {"attr2": 0, "attr3": 1}), + ("N1", "N1", "F3", {"attr2": 0, "attr3": 0}), + ("N1", "N2", "F4", {"attr2": 0, "attr3": 1}), + ] + ) + # example from issue #4065 + G = nx.from_pandas_edgelist( + df, + source="source", + target="target", + edge_attr=edge_attr, + edge_key="attr1", + create_using=nx.MultiGraph(), + ) + assert graphs_equal(G, Gtrue) + + df_roundtrip = nx.to_pandas_edgelist(G, edge_key="attr1") + df_roundtrip = df_roundtrip.sort_values("attr1") + df_roundtrip.index = ["A", "B", "C", "D"] + pd.testing.assert_frame_equal( + df, df_roundtrip[["source", "target", "attr1", "attr2", "attr3"]] + ) + + def test_edgekey_with_normal_graph_no_action(self): + Gtrue = nx.Graph( + [ + ("E", "C", {"cost": 9, "weight": 10}), + ("B", "A", {"cost": 1, "weight": 7}), + ("A", "D", {"cost": 7, "weight": 4}), + ] + ) + G = nx.from_pandas_edgelist(self.df, 0, "b", True, edge_key="weight") + assert graphs_equal(G, Gtrue) + + def test_nonexisting_edgekey_raises(self): + with pytest.raises(nx.exception.NetworkXError): + nx.from_pandas_edgelist( + self.df, + source="source", + target="target", + edge_key="Not_real", + edge_attr=True, + create_using=nx.MultiGraph(), + ) + + def test_multigraph_with_edgekey_no_edgeattrs(self): + Gtrue = nx.MultiGraph() + Gtrue.add_edge(0, 1, key=0) + Gtrue.add_edge(0, 1, key=3) + df = nx.to_pandas_edgelist(Gtrue, edge_key="key") + expected = pd.DataFrame({"source": [0, 0], "target": [1, 1], "key": [0, 3]}) + pd.testing.assert_frame_equal(expected, df) + G = nx.from_pandas_edgelist(df, edge_key="key", create_using=nx.MultiGraph) + assert graphs_equal(Gtrue, G) + + +def test_to_pandas_adjacency_with_nodelist(): + G = nx.complete_graph(5) + nodelist = [1, 4] + expected = pd.DataFrame( + [[0, 1], [1, 0]], dtype=int, index=nodelist, columns=nodelist + ) + pd.testing.assert_frame_equal( + expected, nx.to_pandas_adjacency(G, nodelist, dtype=int) + ) + + +def test_to_pandas_edgelist_with_nodelist(): + G = nx.Graph() + G.add_edges_from([(0, 1), (1, 2), (1, 3)], weight=2.0) + G.add_edge(0, 5, weight=100) + df = nx.to_pandas_edgelist(G, nodelist=[1, 2]) + assert 0 not in df["source"].to_numpy() + assert 100 not in df["weight"].to_numpy() + + +def test_from_pandas_adjacency_with_index_collisions(): + """See gh-7407""" + df = pd.DataFrame( + [ + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, 1], + [0, 0, 0, 0], + ], + index=[1010001, 2, 1, 1010002], + columns=[1010001, 2, 1, 1010002], + ) + G = nx.from_pandas_adjacency(df, create_using=nx.DiGraph) + expected = nx.DiGraph([(1010001, 2), (2, 1), (1, 1010002)]) + assert nodes_equal(G.nodes, expected.nodes) + assert edges_equal(G.edges, expected.edges) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_scipy.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_scipy.py new file mode 100644 index 0000000000000000000000000000000000000000..aa513b859a3d697a6e342164c7d0b3eca8c93d4e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_convert_scipy.py @@ -0,0 +1,282 @@ +import pytest + +np = pytest.importorskip("numpy") +sp = pytest.importorskip("scipy") + +import networkx as nx +from networkx.generators.classic import barbell_graph, cycle_graph, path_graph +from networkx.utils import graphs_equal + + +class TestConvertScipy: + def setup_method(self): + self.G1 = barbell_graph(10, 3) + self.G2 = cycle_graph(10, create_using=nx.DiGraph) + + self.G3 = self.create_weighted(nx.Graph()) + self.G4 = self.create_weighted(nx.DiGraph()) + + def test_exceptions(self): + class G: + format = None + + pytest.raises(nx.NetworkXError, nx.to_networkx_graph, G) + + def create_weighted(self, G): + g = cycle_graph(4) + e = list(g.edges()) + source = [u for u, v in e] + dest = [v for u, v in e] + weight = [s + 10 for s in source] + ex = zip(source, dest, weight) + G.add_weighted_edges_from(ex) + return G + + def identity_conversion(self, G, A, create_using): + GG = nx.from_scipy_sparse_array(A, create_using=create_using) + assert nx.is_isomorphic(G, GG) + + GW = nx.to_networkx_graph(A, create_using=create_using) + assert nx.is_isomorphic(G, GW) + + GI = nx.empty_graph(0, create_using).__class__(A) + assert nx.is_isomorphic(G, GI) + + ACSR = A.tocsr() + GI = nx.empty_graph(0, create_using).__class__(ACSR) + assert nx.is_isomorphic(G, GI) + + ACOO = A.tocoo() + GI = nx.empty_graph(0, create_using).__class__(ACOO) + assert nx.is_isomorphic(G, GI) + + ACSC = A.tocsc() + GI = nx.empty_graph(0, create_using).__class__(ACSC) + assert nx.is_isomorphic(G, GI) + + AD = A.todense() + GI = nx.empty_graph(0, create_using).__class__(AD) + assert nx.is_isomorphic(G, GI) + + AA = A.toarray() + GI = nx.empty_graph(0, create_using).__class__(AA) + assert nx.is_isomorphic(G, GI) + + def test_shape(self): + "Conversion from non-square sparse array." + A = sp.sparse.lil_array([[1, 2, 3], [4, 5, 6]]) + pytest.raises(nx.NetworkXError, nx.from_scipy_sparse_array, A) + + def test_identity_graph_matrix(self): + "Conversion from graph to sparse matrix to graph." + A = nx.to_scipy_sparse_array(self.G1) + self.identity_conversion(self.G1, A, nx.Graph()) + + def test_identity_digraph_matrix(self): + "Conversion from digraph to sparse matrix to digraph." + A = nx.to_scipy_sparse_array(self.G2) + self.identity_conversion(self.G2, A, nx.DiGraph()) + + def test_identity_weighted_graph_matrix(self): + """Conversion from weighted graph to sparse matrix to weighted graph.""" + A = nx.to_scipy_sparse_array(self.G3) + self.identity_conversion(self.G3, A, nx.Graph()) + + def test_identity_weighted_digraph_matrix(self): + """Conversion from weighted digraph to sparse matrix to weighted digraph.""" + A = nx.to_scipy_sparse_array(self.G4) + self.identity_conversion(self.G4, A, nx.DiGraph()) + + def test_nodelist(self): + """Conversion from graph to sparse matrix to graph with nodelist.""" + P4 = path_graph(4) + P3 = path_graph(3) + nodelist = list(P3.nodes()) + A = nx.to_scipy_sparse_array(P4, nodelist=nodelist) + GA = nx.Graph(A) + assert nx.is_isomorphic(GA, P3) + + pytest.raises(nx.NetworkXError, nx.to_scipy_sparse_array, P3, nodelist=[]) + # Test nodelist duplicates. + long_nl = nodelist + [0] + pytest.raises(nx.NetworkXError, nx.to_scipy_sparse_array, P3, nodelist=long_nl) + + # Test nodelist contains non-nodes + non_nl = [-1, 0, 1, 2] + pytest.raises(nx.NetworkXError, nx.to_scipy_sparse_array, P3, nodelist=non_nl) + + def test_weight_keyword(self): + WP4 = nx.Graph() + WP4.add_edges_from((n, n + 1, {"weight": 0.5, "other": 0.3}) for n in range(3)) + P4 = path_graph(4) + A = nx.to_scipy_sparse_array(P4) + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + np.testing.assert_equal( + 0.5 * A.todense(), nx.to_scipy_sparse_array(WP4).todense() + ) + np.testing.assert_equal( + 0.3 * A.todense(), nx.to_scipy_sparse_array(WP4, weight="other").todense() + ) + + def test_format_keyword(self): + WP4 = nx.Graph() + WP4.add_edges_from((n, n + 1, {"weight": 0.5, "other": 0.3}) for n in range(3)) + P4 = path_graph(4) + A = nx.to_scipy_sparse_array(P4, format="csr") + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + + A = nx.to_scipy_sparse_array(P4, format="csc") + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + + A = nx.to_scipy_sparse_array(P4, format="coo") + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + + A = nx.to_scipy_sparse_array(P4, format="bsr") + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + + A = nx.to_scipy_sparse_array(P4, format="lil") + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + + A = nx.to_scipy_sparse_array(P4, format="dia") + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + + A = nx.to_scipy_sparse_array(P4, format="dok") + np.testing.assert_equal( + A.todense(), nx.to_scipy_sparse_array(WP4, weight=None).todense() + ) + + def test_format_keyword_raise(self): + with pytest.raises(nx.NetworkXError): + WP4 = nx.Graph() + WP4.add_edges_from( + (n, n + 1, {"weight": 0.5, "other": 0.3}) for n in range(3) + ) + P4 = path_graph(4) + nx.to_scipy_sparse_array(P4, format="any_other") + + def test_null_raise(self): + with pytest.raises(nx.NetworkXError): + nx.to_scipy_sparse_array(nx.Graph()) + + def test_empty(self): + G = nx.Graph() + G.add_node(1) + M = nx.to_scipy_sparse_array(G) + np.testing.assert_equal(M.toarray(), np.array([[0]])) + + def test_ordering(self): + G = nx.DiGraph() + G.add_edge(1, 2) + G.add_edge(2, 3) + G.add_edge(3, 1) + M = nx.to_scipy_sparse_array(G, nodelist=[3, 2, 1]) + np.testing.assert_equal( + M.toarray(), np.array([[0, 0, 1], [1, 0, 0], [0, 1, 0]]) + ) + + def test_selfloop_graph(self): + G = nx.Graph([(1, 1)]) + M = nx.to_scipy_sparse_array(G) + np.testing.assert_equal(M.toarray(), np.array([[1]])) + + G.add_edges_from([(2, 3), (3, 4)]) + M = nx.to_scipy_sparse_array(G, nodelist=[2, 3, 4]) + np.testing.assert_equal( + M.toarray(), np.array([[0, 1, 0], [1, 0, 1], [0, 1, 0]]) + ) + + def test_selfloop_digraph(self): + G = nx.DiGraph([(1, 1)]) + M = nx.to_scipy_sparse_array(G) + np.testing.assert_equal(M.toarray(), np.array([[1]])) + + G.add_edges_from([(2, 3), (3, 4)]) + M = nx.to_scipy_sparse_array(G, nodelist=[2, 3, 4]) + np.testing.assert_equal( + M.toarray(), np.array([[0, 1, 0], [0, 0, 1], [0, 0, 0]]) + ) + + def test_from_scipy_sparse_array_parallel_edges(self): + """Tests that the :func:`networkx.from_scipy_sparse_array` function + interprets integer weights as the number of parallel edges when + creating a multigraph. + + """ + A = sp.sparse.csr_array([[1, 1], [1, 2]]) + # First, with a simple graph, each integer entry in the adjacency + # matrix is interpreted as the weight of a single edge in the graph. + expected = nx.DiGraph() + edges = [(0, 0), (0, 1), (1, 0)] + expected.add_weighted_edges_from([(u, v, 1) for (u, v) in edges]) + expected.add_edge(1, 1, weight=2) + actual = nx.from_scipy_sparse_array( + A, parallel_edges=True, create_using=nx.DiGraph + ) + assert graphs_equal(actual, expected) + actual = nx.from_scipy_sparse_array( + A, parallel_edges=False, create_using=nx.DiGraph + ) + assert graphs_equal(actual, expected) + # Now each integer entry in the adjacency matrix is interpreted as the + # number of parallel edges in the graph if the appropriate keyword + # argument is specified. + edges = [(0, 0), (0, 1), (1, 0), (1, 1), (1, 1)] + expected = nx.MultiDiGraph() + expected.add_weighted_edges_from([(u, v, 1) for (u, v) in edges]) + actual = nx.from_scipy_sparse_array( + A, parallel_edges=True, create_using=nx.MultiDiGraph + ) + assert graphs_equal(actual, expected) + expected = nx.MultiDiGraph() + expected.add_edges_from(set(edges), weight=1) + # The sole self-loop (edge 0) on vertex 1 should have weight 2. + expected[1][1][0]["weight"] = 2 + actual = nx.from_scipy_sparse_array( + A, parallel_edges=False, create_using=nx.MultiDiGraph + ) + assert graphs_equal(actual, expected) + + def test_symmetric(self): + """Tests that a symmetric matrix has edges added only once to an + undirected multigraph when using + :func:`networkx.from_scipy_sparse_array`. + + """ + A = sp.sparse.csr_array([[0, 1], [1, 0]]) + G = nx.from_scipy_sparse_array(A, create_using=nx.MultiGraph) + expected = nx.MultiGraph() + expected.add_edge(0, 1, weight=1) + assert graphs_equal(G, expected) + + +@pytest.mark.parametrize("sparse_format", ("csr", "csc", "dok")) +def test_from_scipy_sparse_array_formats(sparse_format): + """Test all formats supported by _generate_weighted_edges.""" + # trinode complete graph with non-uniform edge weights + expected = nx.Graph() + expected.add_edges_from( + [ + (0, 1, {"weight": 3}), + (0, 2, {"weight": 2}), + (1, 0, {"weight": 3}), + (1, 2, {"weight": 1}), + (2, 0, {"weight": 2}), + (2, 1, {"weight": 1}), + ] + ) + A = sp.sparse.coo_array([[0, 3, 2], [3, 0, 1], [2, 1, 0]]).asformat(sparse_format) + assert graphs_equal(expected, nx.from_scipy_sparse_array(A)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_exceptions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_exceptions.py new file mode 100644 index 0000000000000000000000000000000000000000..cf59983cb8d12a119f5744ebc8b11e7cb9075366 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_exceptions.py @@ -0,0 +1,40 @@ +import pytest + +import networkx as nx + +# smoke tests for exceptions + + +def test_raises_networkxexception(): + with pytest.raises(nx.NetworkXException): + raise nx.NetworkXException + + +def test_raises_networkxerr(): + with pytest.raises(nx.NetworkXError): + raise nx.NetworkXError + + +def test_raises_networkx_pointless_concept(): + with pytest.raises(nx.NetworkXPointlessConcept): + raise nx.NetworkXPointlessConcept + + +def test_raises_networkxalgorithmerr(): + with pytest.raises(nx.NetworkXAlgorithmError): + raise nx.NetworkXAlgorithmError + + +def test_raises_networkx_unfeasible(): + with pytest.raises(nx.NetworkXUnfeasible): + raise nx.NetworkXUnfeasible + + +def test_raises_networkx_no_path(): + with pytest.raises(nx.NetworkXNoPath): + raise nx.NetworkXNoPath + + +def test_raises_networkx_unbounded(): + with pytest.raises(nx.NetworkXUnbounded): + raise nx.NetworkXUnbounded diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_import.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_import.py new file mode 100644 index 0000000000000000000000000000000000000000..32aafdf2a4dafc85cee088138590b84f4c627b5e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_import.py @@ -0,0 +1,11 @@ +import pytest + + +def test_namespace_alias(): + with pytest.raises(ImportError): + from networkx import nx + + +def test_namespace_nesting(): + with pytest.raises(ImportError): + from networkx import networkx diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_lazy_imports.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_lazy_imports.py new file mode 100644 index 0000000000000000000000000000000000000000..9b7f1b1d94c08b7185ae1798d60170f3b2cdc7a1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_lazy_imports.py @@ -0,0 +1,97 @@ +import importlib +import sys +import types + +import pytest + +import networkx.lazy_imports as lazy + + +def test_lazy_import_basics(): + math = lazy._lazy_import("math") + anything_not_real = lazy._lazy_import("anything_not_real") + + # Now test that accessing attributes does what it should + assert math.sin(math.pi) == pytest.approx(0, 1e-6) + # poor-mans pytest.raises for testing errors on attribute access + try: + anything_not_real.pi + assert False # Should not get here + except ModuleNotFoundError: + pass + assert isinstance(anything_not_real, lazy.DelayedImportErrorModule) + # see if it changes for second access + try: + anything_not_real.pi + assert False # Should not get here + except ModuleNotFoundError: + pass + + +def test_lazy_import_impact_on_sys_modules(): + math = lazy._lazy_import("math") + anything_not_real = lazy._lazy_import("anything_not_real") + + assert type(math) == types.ModuleType + assert "math" in sys.modules + assert type(anything_not_real) == lazy.DelayedImportErrorModule + assert "anything_not_real" not in sys.modules + + # only do this if numpy is installed + np_test = pytest.importorskip("numpy") + np = lazy._lazy_import("numpy") + assert type(np) == types.ModuleType + assert "numpy" in sys.modules + + np.pi # trigger load of numpy + + assert type(np) == types.ModuleType + assert "numpy" in sys.modules + + +def test_lazy_import_nonbuiltins(): + sp = lazy._lazy_import("scipy") + np = lazy._lazy_import("numpy") + if isinstance(sp, lazy.DelayedImportErrorModule): + try: + sp.special.erf + assert False + except ModuleNotFoundError: + pass + elif isinstance(np, lazy.DelayedImportErrorModule): + try: + np.sin(np.pi) + assert False + except ModuleNotFoundError: + pass + else: + assert sp.special.erf(np.pi) == pytest.approx(1, 1e-4) + + +def test_lazy_attach(): + name = "mymod" + submods = ["mysubmodule", "anothersubmodule"] + myall = {"not_real_submod": ["some_var_or_func"]} + + locls = { + "attach": lazy.attach, + "name": name, + "submods": submods, + "myall": myall, + } + s = "__getattr__, __lazy_dir__, __all__ = attach(name, submods, myall)" + + exec(s, {}, locls) + expected = { + "attach": lazy.attach, + "name": name, + "submods": submods, + "myall": myall, + "__getattr__": None, + "__lazy_dir__": None, + "__all__": None, + } + assert locls.keys() == expected.keys() + for k, v in expected.items(): + if v is not None: + assert locls[k] == v diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_relabel.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_relabel.py new file mode 100644 index 0000000000000000000000000000000000000000..0ebf4d3ef490afce48e3e1298412edb05a385cdc --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/tests/test_relabel.py @@ -0,0 +1,347 @@ +import pytest + +import networkx as nx +from networkx.generators.classic import empty_graph +from networkx.utils import edges_equal, nodes_equal + + +class TestRelabel: + def test_convert_node_labels_to_integers(self): + # test that empty graph converts fine for all options + G = empty_graph() + H = nx.convert_node_labels_to_integers(G, 100) + assert list(H.nodes()) == [] + assert list(H.edges()) == [] + + for opt in ["default", "sorted", "increasing degree", "decreasing degree"]: + G = empty_graph() + H = nx.convert_node_labels_to_integers(G, 100, ordering=opt) + assert list(H.nodes()) == [] + assert list(H.edges()) == [] + + G = empty_graph() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "C"), ("C", "D")]) + H = nx.convert_node_labels_to_integers(G) + degH = (d for n, d in H.degree()) + degG = (d for n, d in G.degree()) + assert sorted(degH) == sorted(degG) + + H = nx.convert_node_labels_to_integers(G, 1000) + degH = (d for n, d in H.degree()) + degG = (d for n, d in G.degree()) + assert sorted(degH) == sorted(degG) + assert nodes_equal(H.nodes(), [1000, 1001, 1002, 1003]) + + H = nx.convert_node_labels_to_integers(G, ordering="increasing degree") + degH = (d for n, d in H.degree()) + degG = (d for n, d in G.degree()) + assert sorted(degH) == sorted(degG) + assert H.degree(0) == 1 + assert H.degree(1) == 2 + assert H.degree(2) == 2 + assert H.degree(3) == 3 + + H = nx.convert_node_labels_to_integers(G, ordering="decreasing degree") + degH = (d for n, d in H.degree()) + degG = (d for n, d in G.degree()) + assert sorted(degH) == sorted(degG) + assert H.degree(0) == 3 + assert H.degree(1) == 2 + assert H.degree(2) == 2 + assert H.degree(3) == 1 + + H = nx.convert_node_labels_to_integers( + G, ordering="increasing degree", label_attribute="label" + ) + degH = (d for n, d in H.degree()) + degG = (d for n, d in G.degree()) + assert sorted(degH) == sorted(degG) + assert H.degree(0) == 1 + assert H.degree(1) == 2 + assert H.degree(2) == 2 + assert H.degree(3) == 3 + + # check mapping + assert H.nodes[3]["label"] == "C" + assert H.nodes[0]["label"] == "D" + assert H.nodes[1]["label"] == "A" or H.nodes[2]["label"] == "A" + assert H.nodes[1]["label"] == "B" or H.nodes[2]["label"] == "B" + + def test_convert_to_integers2(self): + G = empty_graph() + G.add_edges_from([("C", "D"), ("A", "B"), ("A", "C"), ("B", "C")]) + H = nx.convert_node_labels_to_integers(G, ordering="sorted") + degH = (d for n, d in H.degree()) + degG = (d for n, d in G.degree()) + assert sorted(degH) == sorted(degG) + + H = nx.convert_node_labels_to_integers( + G, ordering="sorted", label_attribute="label" + ) + assert H.nodes[0]["label"] == "A" + assert H.nodes[1]["label"] == "B" + assert H.nodes[2]["label"] == "C" + assert H.nodes[3]["label"] == "D" + + def test_convert_to_integers_raise(self): + with pytest.raises(nx.NetworkXError): + G = nx.Graph() + H = nx.convert_node_labels_to_integers(G, ordering="increasing age") + + def test_relabel_nodes_copy(self): + G = nx.empty_graph() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "C"), ("C", "D")]) + mapping = {"A": "aardvark", "B": "bear", "C": "cat", "D": "dog"} + H = nx.relabel_nodes(G, mapping) + assert nodes_equal(H.nodes(), ["aardvark", "bear", "cat", "dog"]) + + def test_relabel_nodes_function(self): + G = nx.empty_graph() + G.add_edges_from([("A", "B"), ("A", "C"), ("B", "C"), ("C", "D")]) + # function mapping no longer encouraged but works + + def mapping(n): + return ord(n) + + H = nx.relabel_nodes(G, mapping) + assert nodes_equal(H.nodes(), [65, 66, 67, 68]) + + def test_relabel_nodes_callable_type(self): + G = nx.path_graph(4) + H = nx.relabel_nodes(G, str) + assert nodes_equal(H.nodes, ["0", "1", "2", "3"]) + + @pytest.mark.parametrize("non_mc", ("0123", ["0", "1", "2", "3"])) + def test_relabel_nodes_non_mapping_or_callable(self, non_mc): + """If `mapping` is neither a Callable or a Mapping, an exception + should be raised.""" + G = nx.path_graph(4) + with pytest.raises(AttributeError): + nx.relabel_nodes(G, non_mc) + + def test_relabel_nodes_graph(self): + G = nx.Graph([("A", "B"), ("A", "C"), ("B", "C"), ("C", "D")]) + mapping = {"A": "aardvark", "B": "bear", "C": "cat", "D": "dog"} + H = nx.relabel_nodes(G, mapping) + assert nodes_equal(H.nodes(), ["aardvark", "bear", "cat", "dog"]) + + def test_relabel_nodes_orderedgraph(self): + G = nx.Graph() + G.add_nodes_from([1, 2, 3]) + G.add_edges_from([(1, 3), (2, 3)]) + mapping = {1: "a", 2: "b", 3: "c"} + H = nx.relabel_nodes(G, mapping) + assert list(H.nodes) == ["a", "b", "c"] + + def test_relabel_nodes_digraph(self): + G = nx.DiGraph([("A", "B"), ("A", "C"), ("B", "C"), ("C", "D")]) + mapping = {"A": "aardvark", "B": "bear", "C": "cat", "D": "dog"} + H = nx.relabel_nodes(G, mapping, copy=False) + assert nodes_equal(H.nodes(), ["aardvark", "bear", "cat", "dog"]) + + def test_relabel_nodes_multigraph(self): + G = nx.MultiGraph([("a", "b"), ("a", "b")]) + mapping = {"a": "aardvark", "b": "bear"} + G = nx.relabel_nodes(G, mapping, copy=False) + assert nodes_equal(G.nodes(), ["aardvark", "bear"]) + assert edges_equal(G.edges(), [("aardvark", "bear"), ("aardvark", "bear")]) + + def test_relabel_nodes_multidigraph(self): + G = nx.MultiDiGraph([("a", "b"), ("a", "b")]) + mapping = {"a": "aardvark", "b": "bear"} + G = nx.relabel_nodes(G, mapping, copy=False) + assert nodes_equal(G.nodes(), ["aardvark", "bear"]) + assert edges_equal(G.edges(), [("aardvark", "bear"), ("aardvark", "bear")]) + + def test_relabel_isolated_nodes_to_same(self): + G = nx.Graph() + G.add_nodes_from(range(4)) + mapping = {1: 1} + H = nx.relabel_nodes(G, mapping, copy=False) + assert nodes_equal(H.nodes(), list(range(4))) + + def test_relabel_nodes_missing(self): + G = nx.Graph([("A", "B"), ("A", "C"), ("B", "C"), ("C", "D")]) + mapping = {0: "aardvark"} + # copy=True + H = nx.relabel_nodes(G, mapping, copy=True) + assert nodes_equal(H.nodes, G.nodes) + # copy=False + GG = G.copy() + nx.relabel_nodes(G, mapping, copy=False) + assert nodes_equal(G.nodes, GG.nodes) + + def test_relabel_copy_name(self): + G = nx.Graph() + H = nx.relabel_nodes(G, {}, copy=True) + assert H.graph == G.graph + H = nx.relabel_nodes(G, {}, copy=False) + assert H.graph == G.graph + G.name = "first" + H = nx.relabel_nodes(G, {}, copy=True) + assert H.graph == G.graph + H = nx.relabel_nodes(G, {}, copy=False) + assert H.graph == G.graph + + def test_relabel_toposort(self): + K5 = nx.complete_graph(4) + G = nx.complete_graph(4) + G = nx.relabel_nodes(G, {i: i + 1 for i in range(4)}, copy=False) + assert nx.is_isomorphic(K5, G) + G = nx.complete_graph(4) + G = nx.relabel_nodes(G, {i: i - 1 for i in range(4)}, copy=False) + assert nx.is_isomorphic(K5, G) + + def test_relabel_selfloop(self): + G = nx.DiGraph([(1, 1), (1, 2), (2, 3)]) + G = nx.relabel_nodes(G, {1: "One", 2: "Two", 3: "Three"}, copy=False) + assert nodes_equal(G.nodes(), ["One", "Three", "Two"]) + G = nx.MultiDiGraph([(1, 1), (1, 2), (2, 3)]) + G = nx.relabel_nodes(G, {1: "One", 2: "Two", 3: "Three"}, copy=False) + assert nodes_equal(G.nodes(), ["One", "Three", "Two"]) + G = nx.MultiDiGraph([(1, 1)]) + G = nx.relabel_nodes(G, {1: 0}, copy=False) + assert nodes_equal(G.nodes(), [0]) + + def test_relabel_multidigraph_inout_merge_nodes(self): + for MG in (nx.MultiGraph, nx.MultiDiGraph): + for cc in (True, False): + G = MG([(0, 4), (1, 4), (4, 2), (4, 3)]) + G[0][4][0]["value"] = "a" + G[1][4][0]["value"] = "b" + G[4][2][0]["value"] = "c" + G[4][3][0]["value"] = "d" + G.add_edge(0, 4, key="x", value="e") + G.add_edge(4, 3, key="x", value="f") + mapping = {0: 9, 1: 9, 2: 9, 3: 9} + H = nx.relabel_nodes(G, mapping, copy=cc) + # No ordering on keys enforced + assert {"value": "a"} in H[9][4].values() + assert {"value": "b"} in H[9][4].values() + assert {"value": "c"} in H[4][9].values() + assert len(H[4][9]) == 3 if G.is_directed() else 6 + assert {"value": "d"} in H[4][9].values() + assert {"value": "e"} in H[9][4].values() + assert {"value": "f"} in H[4][9].values() + assert len(H[9][4]) == 3 if G.is_directed() else 6 + + def test_relabel_multigraph_merge_inplace(self): + G = nx.MultiGraph([(0, 1), (0, 2), (0, 3), (0, 1), (0, 2), (0, 3)]) + G[0][1][0]["value"] = "a" + G[0][2][0]["value"] = "b" + G[0][3][0]["value"] = "c" + mapping = {1: 4, 2: 4, 3: 4} + nx.relabel_nodes(G, mapping, copy=False) + # No ordering on keys enforced + assert {"value": "a"} in G[0][4].values() + assert {"value": "b"} in G[0][4].values() + assert {"value": "c"} in G[0][4].values() + + def test_relabel_multidigraph_merge_inplace(self): + G = nx.MultiDiGraph([(0, 1), (0, 2), (0, 3)]) + G[0][1][0]["value"] = "a" + G[0][2][0]["value"] = "b" + G[0][3][0]["value"] = "c" + mapping = {1: 4, 2: 4, 3: 4} + nx.relabel_nodes(G, mapping, copy=False) + # No ordering on keys enforced + assert {"value": "a"} in G[0][4].values() + assert {"value": "b"} in G[0][4].values() + assert {"value": "c"} in G[0][4].values() + + def test_relabel_multidigraph_inout_copy(self): + G = nx.MultiDiGraph([(0, 4), (1, 4), (4, 2), (4, 3)]) + G[0][4][0]["value"] = "a" + G[1][4][0]["value"] = "b" + G[4][2][0]["value"] = "c" + G[4][3][0]["value"] = "d" + G.add_edge(0, 4, key="x", value="e") + G.add_edge(4, 3, key="x", value="f") + mapping = {0: 9, 1: 9, 2: 9, 3: 9} + H = nx.relabel_nodes(G, mapping, copy=True) + # No ordering on keys enforced + assert {"value": "a"} in H[9][4].values() + assert {"value": "b"} in H[9][4].values() + assert {"value": "c"} in H[4][9].values() + assert len(H[4][9]) == 3 + assert {"value": "d"} in H[4][9].values() + assert {"value": "e"} in H[9][4].values() + assert {"value": "f"} in H[4][9].values() + assert len(H[9][4]) == 3 + + def test_relabel_multigraph_merge_copy(self): + G = nx.MultiGraph([(0, 1), (0, 2), (0, 3)]) + G[0][1][0]["value"] = "a" + G[0][2][0]["value"] = "b" + G[0][3][0]["value"] = "c" + mapping = {1: 4, 2: 4, 3: 4} + H = nx.relabel_nodes(G, mapping, copy=True) + assert {"value": "a"} in H[0][4].values() + assert {"value": "b"} in H[0][4].values() + assert {"value": "c"} in H[0][4].values() + + def test_relabel_multidigraph_merge_copy(self): + G = nx.MultiDiGraph([(0, 1), (0, 2), (0, 3)]) + G[0][1][0]["value"] = "a" + G[0][2][0]["value"] = "b" + G[0][3][0]["value"] = "c" + mapping = {1: 4, 2: 4, 3: 4} + H = nx.relabel_nodes(G, mapping, copy=True) + assert {"value": "a"} in H[0][4].values() + assert {"value": "b"} in H[0][4].values() + assert {"value": "c"} in H[0][4].values() + + def test_relabel_multigraph_nonnumeric_key(self): + for MG in (nx.MultiGraph, nx.MultiDiGraph): + for cc in (True, False): + G = nx.MultiGraph() + G.add_edge(0, 1, key="I", value="a") + G.add_edge(0, 2, key="II", value="b") + G.add_edge(0, 3, key="II", value="c") + mapping = {1: 4, 2: 4, 3: 4} + nx.relabel_nodes(G, mapping, copy=False) + assert {"value": "a"} in G[0][4].values() + assert {"value": "b"} in G[0][4].values() + assert {"value": "c"} in G[0][4].values() + assert 0 in G[0][4] + assert "I" in G[0][4] + assert "II" in G[0][4] + + def test_relabel_circular(self): + G = nx.path_graph(3) + mapping = {0: 1, 1: 0} + H = nx.relabel_nodes(G, mapping, copy=True) + with pytest.raises(nx.NetworkXUnfeasible): + H = nx.relabel_nodes(G, mapping, copy=False) + + def test_relabel_preserve_node_order_full_mapping_with_copy_true(self): + G = nx.path_graph(3) + original_order = list(G.nodes()) + mapping = {2: "a", 1: "b", 0: "c"} # dictionary keys out of order on purpose + H = nx.relabel_nodes(G, mapping, copy=True) + new_order = list(H.nodes()) + assert [mapping.get(i, i) for i in original_order] == new_order + + def test_relabel_preserve_node_order_full_mapping_with_copy_false(self): + G = nx.path_graph(3) + original_order = list(G) + mapping = {2: "a", 1: "b", 0: "c"} # dictionary keys out of order on purpose + H = nx.relabel_nodes(G, mapping, copy=False) + new_order = list(H) + assert [mapping.get(i, i) for i in original_order] == new_order + + def test_relabel_preserve_node_order_partial_mapping_with_copy_true(self): + G = nx.path_graph(3) + original_order = list(G) + mapping = {1: "a", 0: "b"} # partial mapping and keys out of order on purpose + H = nx.relabel_nodes(G, mapping, copy=True) + new_order = list(H) + assert [mapping.get(i, i) for i in original_order] == new_order + + def test_relabel_preserve_node_order_partial_mapping_with_copy_false(self): + G = nx.path_graph(3) + original_order = list(G) + mapping = {1: "a", 0: "b"} # partial mapping and keys out of order on purpose + H = nx.relabel_nodes(G, mapping, copy=False) + new_order = list(H) + assert [mapping.get(i, i) for i in original_order] != new_order diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..d6abb178e4fd014bcec4c781fe98b8917d3ec876 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/__init__.py @@ -0,0 +1,8 @@ +from networkx.utils.misc import * +from networkx.utils.decorators import * +from networkx.utils.random_sequence import * +from networkx.utils.union_find import * +from networkx.utils.rcm import * +from networkx.utils.heaps import * +from networkx.utils.configs import * +from networkx.utils.backends import * diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/backends.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/backends.py new file mode 100644 index 0000000000000000000000000000000000000000..0b41d4c780c48ec446d76fbd04de13fb06f2f4af --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/backends.py @@ -0,0 +1,2501 @@ +""" +Docs for backend users +~~~~~~~~~~~~~~~~~~~~~~ +NetworkX utilizes a plugin-dispatch architecture. A valid NetworkX backend +specifies `entry points +`_, named +``networkx.backends`` and an optional ``networkx.backend_info`` when it is +installed (not imported). This allows NetworkX to dispatch (redirect) function +calls to the backend so the execution flows to the designated backend +implementation. This design enhances flexibility and integration, making +NetworkX more adaptable and efficient. + +NetworkX can dispatch to backends **explicitly** (this requires changing code) +or **automatically** (this requires setting configuration or environment +variables). The best way to use a backend depends on the backend, your use +case, and whether you want to automatically convert to or from backend +graphs. Automatic conversions of graphs is always opt-in. + +To explicitly dispatch to a backend, use the `backend=` keyword argument in a +dispatchable function. This will convert (and cache by default) input NetworkX +graphs to backend graphs and call the backend implementation. Another explicit +way to use a backend is to create a backend graph directly--for example, +perhaps the backend has its own functions for loading data and creating +graphs--and pass that graph to a dispatchable function, which will then call +the backend implementation without converting. + +Using automatic dispatch requires setting configuration options. Every NetworkX +configuration may also be set from an environment variable and are processed at +the time networkx is imported. The following configuration variables are +supported: + +* ``nx.config.backend_priority`` (``NETWORKX_BACKEND_PRIORITY`` env var), a + list of backends, controls dispatchable functions that don't return graphs + such as e.g. ``nx.pagerank``. When one of these functions is called with + NetworkX graphs as input, the dispatcher iterates over the backends listed in + this backend_priority config and will use the first backend that implements + this function. The input NetworkX graphs are converted (and cached by + default) to backend graphs. Using this configuration can allow you to use the + full flexibility of NetworkX graphs and the performance of backend + implementations, but possible downsides are that creating NetworkX graphs, + converting to backend graphs, and caching backend graphs may all be + expensive. + +* ``nx.config.backend_priority.algos`` (``NETWORKX_BACKEND_PRIORITY_ALGOS`` env + var), can be used instead of ``nx.config.backend_priority`` + (``NETWORKX_BACKEND_PRIORITY`` env var) to emphasize that the setting only + affects the dispatching of algorithm functions as described above. + +* ``nx.config.backend_priority.generators`` + (``NETWORKX_BACKEND_PRIORITY_GENERATORS`` env var), a list of backends, + controls dispatchable functions that return graphs such as + nx.from_pandas_edgelist and nx.empty_graph. When one of these functions is + called, the first backend listed in this backend_priority config that + implements this function will be used and will return a backend graph. When + this backend graph is passed to other dispatchable NetworkX functions, it + will use the backend implementation if it exists or raise by default unless + nx.config.fallback_to_nx is True (default is False). Using this configuration + avoids creating NetworkX graphs, which subsequently avoids the need to + convert to and cache backend graphs as when using + nx.config.backend_priority.algos, but possible downsides are that the backend + graph may not behave the same as a NetworkX graph and the backend may not + implement all algorithms that you use, which may break your workflow. + +* ``nx.config.fallback_to_nx`` (``NETWORKX_FALLBACK_TO_NX`` env var), a boolean + (default False), controls what happens when a backend graph is passed to a + dispatchable function that is not implemented by that backend. The default + behavior when False is to raise. If True, then the backend graph will be + converted (and cached by default) to a NetworkX graph and will run with the + default NetworkX implementation. Enabling this configuration can allow + workflows to complete if the backend does not implement all algorithms used + by the workflow, but a possible downside is that it may require converting + the input backend graph to a NetworkX graph, which may be expensive. If a + backend graph is duck-type compatible as a NetworkX graph, then the backend + may choose not to convert to a NetworkX graph and use the incoming graph + as-is. + +* ``nx.config.cache_converted_graphs`` (``NETWORKX_CACHE_CONVERTED_GRAPHS`` env + var), a boolean (default True), controls whether graph conversions are cached + to G.__networkx_cache__ or not. Caching can improve performance by avoiding + repeated conversions, but it uses more memory. + +.. note:: Backends *should* follow the NetworkX backend naming convention. For + example, if a backend is named ``parallel`` and specified using + ``backend=parallel`` or ``NETWORKX_BACKEND_PRIORITY=parallel``, the package + installed is ``nx-parallel``, and we would use ``import nx_parallel`` if we + were to import the backend package directly. + +Backends are encouraged to document how they recommend to be used and whether +their graph types are duck-type compatible as NetworkX graphs. If backend +graphs are NetworkX-compatible and you want your workflow to automatically +"just work" with a backend--converting and caching if necessary--then use all +of the above configurations. Automatically converting graphs is opt-in, and +configuration gives the user control. + +Examples: +--------- + +Use the ``cugraph`` backend for every algorithm function it supports. This will +allow for fall back to the default NetworkX implementations for algorithm calls +not supported by cugraph because graph generator functions are still returning +NetworkX graphs. + +.. code-block:: bash + + bash> NETWORKX_BACKEND_PRIORITY=cugraph python my_networkx_script.py + +Explicitly use the ``parallel`` backend for a function call. + +.. code-block:: python + + nx.betweenness_centrality(G, k=10, backend="parallel") + +Explicitly use the ``parallel`` backend for a function call by passing an +instance of the backend graph type to the function. + +.. code-block:: python + + H = nx_parallel.ParallelGraph(G) + nx.betweenness_centrality(H, k=10) + +Explicitly use the ``parallel`` backend and pass additional backend-specific +arguments. Here, ``get_chunks`` is an argument unique to the ``parallel`` +backend. + +.. code-block:: python + + nx.betweenness_centrality(G, k=10, backend="parallel", get_chunks=get_chunks) + +Automatically dispatch the ``cugraph`` backend for all NetworkX algorithms and +generators, and allow the backend graph object returned from generators to be +passed to NetworkX functions the backend does not support. + +.. code-block:: bash + + bash> NETWORKX_BACKEND_PRIORITY_ALGOS=cugraph \\ + NETWORKX_BACKEND_PRIORITY_GENERATORS=cugraph \\ + NETWORKX_FALLBACK_TO_NX=True \\ + python my_networkx_script.py + +How does this work? +------------------- + +If you've looked at functions in the NetworkX codebase, you might have seen the +``@nx._dispatchable`` decorator on most of the functions. This decorator allows the NetworkX +function to dispatch to the corresponding backend function if available. When the decorated +function is called, it first checks for a backend to run the function, and if no appropriate +backend is specified or available, it runs the NetworkX version of the function. + +Backend Keyword Argument +^^^^^^^^^^^^^^^^^^^^^^^^ + +When a decorated function is called with the ``backend`` kwarg provided, it checks +if the specified backend is installed, and loads it. Next it checks whether to convert +input graphs by first resolving the backend of each input graph by looking +for an attribute named ``__networkx_backend__`` that holds the backend name for that +graph type. If all input graphs backend matches the ``backend`` kwarg, the backend's +function is called with the original inputs. If any of the input graphs do not match +the ``backend`` kwarg, they are converted to the backend graph type before calling. +Exceptions are raised if any step is not possible, e.g. if the backend does not +implement this function. + +Finding a Backend +^^^^^^^^^^^^^^^^^ + +When a decorated function is called without a ``backend`` kwarg, it tries to find a +dispatchable backend function. +The backend type of each input graph parameter is resolved (using the +``__networkx_backend__`` attribute) and if they all agree, that backend's function +is called if possible. Otherwise the backends listed in the config ``backend_priority`` +are considered one at a time in order. If that backend supports the function and +can convert the input graphs to its backend type, that backend function is called. +Otherwise the next backend is considered. + +During this process, the backends can provide helpful information to the dispatcher +via helper methods in the backend's interface. Backend methods ``can_run`` and +``should_run`` are used by the dispatcher to determine whether to use the backend +function. If the number of nodes is small, it might be faster to run the NetworkX +version of the function. This is how backends can provide info about whether to run. + +Falling Back to NetworkX +^^^^^^^^^^^^^^^^^^^^^^^^ + +If none of the backends are appropriate, we "fall back" to the NetworkX function. +That means we resolve the backends of all input graphs and if all are NetworkX +graphs we call the NetworkX function. If any are not NetworkX graphs, we raise +an exception unless the `fallback_to_nx` config is set. If it is, we convert all +graph types to NetworkX graph types before calling the NetworkX function. + +Functions that mutate the graph +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Any function decorated with the option that indicates it mutates the graph goes through +a slightly different path to automatically find backends. These functions typically +generate a graph, or add attributes or change the graph structure. The config +`backend_priority.generators` holds a list of backend names similar to the config +`backend_priority`. The process is similar for finding a matching backend. Once found, +the backend function is called and a backend graph is returned (instead of a NetworkX +graph). You can then use this backend graph in any function supported by the backend. +And you can use it for functions not supported by the backend if you set the config +`fallback_to_nx` to allow it to convert the backend graph to a NetworkX graph before +calling the function. + +Optional keyword arguments +^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Backends can add optional keyword parameters to NetworkX functions to allow you to +control aspects of the backend algorithm. Thus the function signatures can be extended +beyond the NetworkX function signature. For example, the ``parallel`` backend might +have a parameter to specify how many CPUs to use. These parameters are collected +by the dispatchable decorator code at the start of the function call and used when +calling the backend function. + +Existing Backends +^^^^^^^^^^^^^^^^^ + +NetworkX does not know all the backends that have been created. In fact, the +NetworkX library does not need to know that a backend exists for it to work. As +long as the backend package creates the ``entry_point``, and provides the +correct interface, it will be called when the user requests it using one of the +three approaches described above. Some backends have been working with the +NetworkX developers to ensure smooth operation. + +Refer to the :doc:`/backends` section to see a list of available backends known +to work with the current stable release of NetworkX. + +.. _introspect: + +Introspection and Logging +------------------------- +Introspection techniques aim to demystify dispatching and backend graph conversion behaviors. + +The primary way to see what the dispatch machinery is doing is by enabling logging. +This can help you verify that the backend you specified is being used. +You can enable NetworkX's backend logger to print to ``sys.stderr`` like this:: + + import logging + nxl = logging.getLogger("networkx") + nxl.addHandler(logging.StreamHandler()) + nxl.setLevel(logging.DEBUG) + +And you can disable it by running this:: + + nxl.setLevel(logging.CRITICAL) + +Refer to :external+python:mod:`logging` to learn more about the logging facilities in Python. + +By looking at the ``.backends`` attribute, you can get the set of all currently +installed backends that implement a particular function. For example:: + + >>> nx.betweenness_centrality.backends # doctest: +SKIP + {'parallel'} + +The function docstring will also show which installed backends support it +along with any backend-specific notes and keyword arguments:: + + >>> help(nx.betweenness_centrality) # doctest: +SKIP + ... + Backends + -------- + parallel : Parallel backend for NetworkX algorithms + The parallel computation is implemented by dividing the nodes into chunks + and computing betweenness centrality for each chunk concurrently. + ... + +The NetworkX documentation website also includes info about trusted backends of NetworkX in function references. +For example, see :func:`~networkx.algorithms.shortest_paths.weighted.all_pairs_bellman_ford_path_length`. + +Introspection capabilities are currently limited, but we are working to improve them. +We plan to make it easier to answer questions such as: + +- What happened (and why)? +- What *will* happen (and why)? +- Where was time spent (including conversions)? +- What is in the cache and how much memory is it using? + +Transparency is essential to allow for greater understanding, debug-ability, +and customization. After all, NetworkX dispatching is extremely flexible and can +support advanced workflows with multiple backends and fine-tuned configuration, +but introspection can be helpful by describing *when* and *how* to evolve your workflow +to meet your needs. If you have suggestions for how to improve introspection, please +`let us know `_! + +Docs for backend developers +~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Creating a custom backend +------------------------- + +1. Defining a ``BackendInterface`` object: + + Note that the ``BackendInterface`` doesn't need to must be a class. It can be an + instance of a class, or a module as well. You can define the following methods or + functions in your backend's ``BackendInterface`` object.: + + 1. ``convert_from_nx`` and ``convert_to_nx`` methods or functions are required for + backend dispatching to work. The arguments to ``convert_from_nx`` are: + + - ``G`` : NetworkX Graph + - ``edge_attrs`` : dict, optional + Dictionary mapping edge attributes to default values if missing in ``G``. + If None, then no edge attributes will be converted and default may be 1. + - ``node_attrs``: dict, optional + Dictionary mapping node attributes to default values if missing in ``G``. + If None, then no node attributes will be converted. + - ``preserve_edge_attrs`` : bool + Whether to preserve all edge attributes. + - ``preserve_node_attrs`` : bool + Whether to preserve all node attributes. + - ``preserve_graph_attrs`` : bool + Whether to preserve all graph attributes. + - ``preserve_all_attrs`` : bool + Whether to preserve all graph, node, and edge attributes. + - ``name`` : str + The name of the algorithm. + - ``graph_name`` : str + The name of the graph argument being converted. + + 2. ``can_run`` (Optional): + If your backend only partially implements an algorithm, you can define + a ``can_run(name, args, kwargs)`` function in your ``BackendInterface`` object that + returns True or False indicating whether the backend can run the algorithm with + the given arguments or not. Instead of a boolean you can also return a string + message to inform the user why that algorithm can't be run. + + 3. ``should_run`` (Optional): + A backend may also define ``should_run(name, args, kwargs)`` + that is similar to ``can_run``, but answers whether the backend *should* be run. + ``should_run`` is only run when performing backend graph conversions. Like + ``can_run``, it receives the original arguments so it can decide whether it + should be run by inspecting the arguments. ``can_run`` runs before + ``should_run``, so ``should_run`` may assume ``can_run`` is True. If not + implemented by the backend, ``can_run``and ``should_run`` are assumed to + always return True if the backend implements the algorithm. + + 4. ``on_start_tests`` (Optional): + A special ``on_start_tests(items)`` function may be defined by the backend. + It will be called with the list of NetworkX tests discovered. Each item + is a test object that can be marked as xfail if the backend does not support + the test using ``item.add_marker(pytest.mark.xfail(reason=...))``. + +2. Adding entry points + + To be discoverable by NetworkX, your package must register an + `entry-point `_ + ``networkx.backends`` in the package's metadata, with a `key pointing to your + dispatch object `_ . + For example, if you are using ``setuptools`` to manage your backend package, + you can `add the following to your pyproject.toml file `_:: + + [project.entry-points."networkx.backends"] + backend_name = "your_backend_interface_object" + + You can also add the ``backend_info`` entry-point. It points towards the ``get_info`` + function that returns all the backend information, which is then used to build the + "Additional Backend Implementation" box at the end of algorithm's documentation + page. Note that the `get_info` function shouldn't import your backend package.:: + + [project.entry-points."networkx.backend_info"] + backend_name = "your_get_info_function" + + The ``get_info`` should return a dictionary with following key-value pairs: + - ``backend_name`` : str or None + It is the name passed in the ``backend`` kwarg. + - ``project`` : str or None + The name of your backend project. + - ``package`` : str or None + The name of your backend package. + - ``url`` : str or None + This is the url to either your backend's codebase or documentation, and + will be displayed as a hyperlink to the ``backend_name``, in the + "Additional backend implementations" section. + - ``short_summary`` : str or None + One line summary of your backend which will be displayed in the + "Additional backend implementations" section. + - ``default_config`` : dict + A dictionary mapping the backend config parameter names to their default values. + This is used to automatically initialize the default configs for all the + installed backends at the time of networkx's import. + + .. seealso:: `~networkx.utils.configs.Config` + + - ``functions`` : dict or None + A dictionary mapping function names to a dictionary of information + about the function. The information can include the following keys: + + - ``url`` : str or None + The url to ``function``'s source code or documentation. + - ``additional_docs`` : str or None + A short description or note about the backend function's + implementation. + - ``additional_parameters`` : dict or None + A dictionary mapping additional parameters headers to their + short descriptions. For example:: + + "additional_parameters": { + 'param1 : str, function (default = "chunks")' : "...", + 'param2 : int' : "...", + } + + If any of these keys are not present, the corresponding information + will not be displayed in the "Additional backend implementations" + section on NetworkX docs website. + + Note that your backend's docs would only appear on the official NetworkX docs only + if your backend is a trusted backend of NetworkX, and is present in the + `.circleci/config.yml` and `.github/workflows/deploy-docs.yml` files in the + NetworkX repository. + +3. Defining a Backend Graph class + + The backend must create an object with an attribute ``__networkx_backend__`` that holds + a string with the entry point name:: + + class BackendGraph: + __networkx_backend__ = "backend_name" + ... + + A backend graph instance may have a ``G.__networkx_cache__`` dict to enable + caching, and care should be taken to clear the cache when appropriate. + +Testing the Custom backend +-------------------------- + +To test your custom backend, you can run the NetworkX test suite on your backend. +This also ensures that the custom backend is compatible with NetworkX's API. +The following steps will help you run the tests: + +1. Setting Backend Environment Variables: + - ``NETWORKX_TEST_BACKEND`` : Setting this to your backend's ``backend_name`` will + let NetworkX's dispatch machinery to automatically convert a regular NetworkX + ``Graph``, ``DiGraph``, ``MultiGraph``, etc. to their backend equivalents, using + ``your_backend_interface_object.convert_from_nx(G, ...)`` function. + - ``NETWORKX_FALLBACK_TO_NX`` (default=False) : Setting this variable to `True` will + instruct tests to use a NetworkX ``Graph`` for algorithms not implemented by your + custom backend. Setting this to `False` will only run the tests for algorithms + implemented by your custom backend and tests for other algorithms will ``xfail``. + +2. Running Tests: + You can invoke NetworkX tests for your custom backend with the following commands:: + + NETWORKX_TEST_BACKEND= + NETWORKX_FALLBACK_TO_NX=True # or False + pytest --pyargs networkx + +How tests are run? +------------------ + +1. While dispatching to the backend implementation the ``_convert_and_call`` function + is used and while testing the ``_convert_and_call_for_tests`` function is used. + Other than testing it also checks for functions that return numpy scalars, and + for functions that return graphs it runs the backend implementation and the + networkx implementation and then converts the backend graph into a NetworkX graph + and then compares them, and returns the networkx graph. This can be regarded as + (pragmatic) technical debt. We may replace these checks in the future. + +2. Conversions while running tests: + - Convert NetworkX graphs using ``.convert_from_nx(G, ...)`` into + the backend graph. + - Pass the backend graph objects to the backend implementation of the algorithm. + - Convert the result back to a form expected by NetworkX tests using + ``.convert_to_nx(result, ...)``. + - For nx_loopback, the graph is copied using the dispatchable metadata + +3. Dispatchable algorithms that are not implemented by the backend + will cause a ``pytest.xfail``, when the ``NETWORKX_FALLBACK_TO_NX`` + environment variable is set to ``False``, giving some indication that + not all tests are running, while avoiding causing an explicit failure. +""" + +import inspect +import itertools +import logging +import os +import warnings +from functools import partial +from importlib.metadata import entry_points + +import networkx as nx + +from .configs import BackendPriorities, Config, NetworkXConfig +from .decorators import argmap + +__all__ = ["_dispatchable"] + +_logger = logging.getLogger(__name__) + + +def _do_nothing(): + """This does nothing at all, yet it helps turn `_dispatchable` into functions.""" + + +def _get_backends(group, *, load_and_call=False): + """ + Retrieve NetworkX ``backends`` and ``backend_info`` from the entry points. + + Parameters + ----------- + group : str + The entry_point to be retrieved. + load_and_call : bool, optional + If True, load and call the backend. Defaults to False. + + Returns + -------- + dict + A dictionary mapping backend names to their respective backend objects. + + Notes + ------ + If a backend is defined more than once, a warning is issued. + The `nx_loopback` backend is removed if it exists, as it is only available during testing. + A warning is displayed if an error occurs while loading a backend. + """ + items = entry_points(group=group) + rv = {} + for ep in items: + if ep.name in rv: + warnings.warn( + f"networkx backend defined more than once: {ep.name}", + RuntimeWarning, + stacklevel=2, + ) + elif load_and_call: + try: + rv[ep.name] = ep.load()() + except Exception as exc: + warnings.warn( + f"Error encountered when loading info for backend {ep.name}: {exc}", + RuntimeWarning, + stacklevel=2, + ) + else: + rv[ep.name] = ep + rv.pop("nx_loopback", None) + return rv + + +# Note: "networkx" will be in `backend_info`, but not `backends` or `config.backends`. +# It is valid to use "networkx"` as backend argument and in `config.backend_priority`. +# We may make "networkx" a "proper" backend and have it in `backends` and `config.backends`. +backends = _get_backends("networkx.backends") +backend_info = {} # fill backend_info after networkx is imported in __init__.py + +# Load and cache backends on-demand +_loaded_backends = {} # type: ignore[var-annotated] +_registered_algorithms = {} + + +# Get default configuration from environment variables at import time +def _comma_sep_to_list(string): + return [stripped for x in string.strip().split(",") if (stripped := x.strip())] + + +def _set_configs_from_environment(): + """Initialize ``config.backend_priority``, load backend_info and config. + + This gets default values from environment variables (see ``nx.config`` for details). + This function is run at the very end of importing networkx. It is run at this time + to avoid loading backend_info before the rest of networkx is imported in case a + backend uses networkx for its backend_info (e.g. subclassing the Config class.) + """ + # backend_info is defined above as empty dict. Fill it after import finishes. + backend_info.update(_get_backends("networkx.backend_info", load_and_call=True)) + backend_info.update( + (backend, {}) for backend in backends.keys() - backend_info.keys() + ) + + # set up config based on backend_info and environment + config = NetworkXConfig( + backend_priority=BackendPriorities( + algos=[], + generators=[], + ), + backends=Config( + **{ + backend: ( + cfg + if isinstance(cfg := info["default_config"], Config) + else Config(**cfg) + ) + if "default_config" in info + else Config() + for backend, info in backend_info.items() + } + ), + cache_converted_graphs=bool( + os.environ.get("NETWORKX_CACHE_CONVERTED_GRAPHS", True) + ), + fallback_to_nx=bool(os.environ.get("NETWORKX_FALLBACK_TO_NX", False)), + warnings_to_ignore={ + x.strip() + for x in os.environ.get("NETWORKX_WARNINGS_TO_IGNORE", "").split(",") + if x.strip() + }, + ) + backend_info["networkx"] = {} + type(config.backends).__doc__ = "All installed NetworkX backends and their configs." + + # NETWORKX_BACKEND_PRIORITY is the same as NETWORKX_BACKEND_PRIORITY_ALGOS + priorities = { + key[26:].lower(): val + for key, val in os.environ.items() + if key.startswith("NETWORKX_BACKEND_PRIORITY_") + } + backend_priority = config.backend_priority + backend_priority.algos = ( + _comma_sep_to_list(priorities.pop("algos")) + if "algos" in priorities + else _comma_sep_to_list( + os.environ.get( + "NETWORKX_BACKEND_PRIORITY", + os.environ.get("NETWORKX_AUTOMATIC_BACKENDS", ""), + ) + ) + ) + backend_priority.generators = _comma_sep_to_list(priorities.pop("generators", "")) + for key in sorted(priorities): + backend_priority[key] = _comma_sep_to_list(priorities[key]) + + return config + + +def _always_run(name, args, kwargs): + return True + + +def _load_backend(backend_name): + if backend_name in _loaded_backends: + return _loaded_backends[backend_name] + if backend_name not in backends: + raise ImportError(f"'{backend_name}' backend is not installed") + rv = _loaded_backends[backend_name] = backends[backend_name].load() + if not hasattr(rv, "can_run"): + rv.can_run = _always_run + if not hasattr(rv, "should_run"): + rv.should_run = _always_run + return rv + + +class _dispatchable: + _is_testing = False + + class _fallback_to_nx: + """Class property that returns ``nx.config.fallback_to_nx``.""" + + def __get__(self, instance, owner=None): + warnings.warn( + "`_dispatchable._fallback_to_nx` is deprecated and will be removed " + "in NetworkX v3.5. Use `nx.config.fallback_to_nx` instead.", + category=DeprecationWarning, + stacklevel=2, + ) + return nx.config.fallback_to_nx + + # Note that chaining `@classmethod` and `@property` was removed in Python 3.13 + _fallback_to_nx = _fallback_to_nx() # type: ignore[assignment,misc] + + def __new__( + cls, + func=None, + *, + name=None, + graphs="G", + edge_attrs=None, + node_attrs=None, + preserve_edge_attrs=False, + preserve_node_attrs=False, + preserve_graph_attrs=False, + preserve_all_attrs=False, + mutates_input=False, + returns_graph=False, + ): + """A decorator function that is used to redirect the execution of ``func`` + function to its backend implementation. + + This decorator function dispatches to + a different backend implementation based on the input graph types, and it also + manages all the ``backend_kwargs``. Usage can be any of the following decorator + forms: + + - ``@_dispatchable`` + - ``@_dispatchable()`` + - ``@_dispatchable(name="override_name")`` + - ``@_dispatchable(graphs="graph_var_name")`` + - ``@_dispatchable(edge_attrs="weight")`` + - ``@_dispatchable(graphs={"G": 0, "H": 1}, edge_attrs={"weight": "default"})`` + with 0 and 1 giving the position in the signature function for graph + objects. When ``edge_attrs`` is a dict, keys are keyword names and values + are defaults. + + Parameters + ---------- + func : callable, optional + The function to be decorated. If ``func`` is not provided, returns a + partial object that can be used to decorate a function later. If ``func`` + is provided, returns a new callable object that dispatches to a backend + algorithm based on input graph types. + + name : str, optional + The name of the algorithm to use for dispatching. If not provided, + the name of ``func`` will be used. ``name`` is useful to avoid name + conflicts, as all dispatched algorithms live in a single namespace. + For example, ``tournament.is_strongly_connected`` had a name conflict + with the standard ``nx.is_strongly_connected``, so we used + ``@_dispatchable(name="tournament_is_strongly_connected")``. + + graphs : str or dict or None, default "G" + If a string, the parameter name of the graph, which must be the first + argument of the wrapped function. If more than one graph is required + for the algorithm (or if the graph is not the first argument), provide + a dict keyed to argument names with argument position as values for each + graph argument. For example, ``@_dispatchable(graphs={"G": 0, "auxiliary?": 4})`` + indicates the 0th parameter ``G`` of the function is a required graph, + and the 4th parameter ``auxiliary?`` is an optional graph. + To indicate that an argument is a list of graphs, do ``"[graphs]"``. + Use ``graphs=None``, if *no* arguments are NetworkX graphs such as for + graph generators, readers, and conversion functions. + + edge_attrs : str or dict, optional + ``edge_attrs`` holds information about edge attribute arguments + and default values for those edge attributes. + If a string, ``edge_attrs`` holds the function argument name that + indicates a single edge attribute to include in the converted graph. + The default value for this attribute is 1. To indicate that an argument + is a list of attributes (all with default value 1), use e.g. ``"[attrs]"``. + If a dict, ``edge_attrs`` holds a dict keyed by argument names, with + values that are either the default value or, if a string, the argument + name that indicates the default value. + + node_attrs : str or dict, optional + Like ``edge_attrs``, but for node attributes. + + preserve_edge_attrs : bool or str or dict, optional + For bool, whether to preserve all edge attributes. + For str, the parameter name that may indicate (with ``True`` or a + callable argument) whether all edge attributes should be preserved + when converting. + For dict of ``{graph_name: {attr: default}}``, indicate pre-determined + edge attributes (and defaults) to preserve for input graphs. + + preserve_node_attrs : bool or str or dict, optional + Like ``preserve_edge_attrs``, but for node attributes. + + preserve_graph_attrs : bool or set + For bool, whether to preserve all graph attributes. + For set, which input graph arguments to preserve graph attributes. + + preserve_all_attrs : bool + Whether to preserve all edge, node and graph attributes. + This overrides all the other preserve_*_attrs. + + mutates_input : bool or dict, default False + For bool, whether the function mutates an input graph argument. + For dict of ``{arg_name: arg_pos}``, arguments that indicate whether an + input graph will be mutated, and ``arg_name`` may begin with ``"not "`` + to negate the logic (for example, this is used by ``copy=`` arguments). + By default, dispatching doesn't convert input graphs to a different + backend for functions that mutate input graphs. + + returns_graph : bool, default False + Whether the function can return or yield a graph object. By default, + dispatching doesn't convert input graphs to a different backend for + functions that return graphs. + """ + if func is None: + return partial( + _dispatchable, + name=name, + graphs=graphs, + edge_attrs=edge_attrs, + node_attrs=node_attrs, + preserve_edge_attrs=preserve_edge_attrs, + preserve_node_attrs=preserve_node_attrs, + preserve_graph_attrs=preserve_graph_attrs, + preserve_all_attrs=preserve_all_attrs, + mutates_input=mutates_input, + returns_graph=returns_graph, + ) + if isinstance(func, str): + raise TypeError("'name' and 'graphs' must be passed by keyword") from None + # If name not provided, use the name of the function + if name is None: + name = func.__name__ + + self = object.__new__(cls) + + # standard function-wrapping stuff + # __annotations__ not used + self.__name__ = func.__name__ + # self.__doc__ = func.__doc__ # __doc__ handled as cached property + self.__defaults__ = func.__defaults__ + # We "magically" add `backend=` keyword argument to allow backend to be specified + if func.__kwdefaults__: + self.__kwdefaults__ = {**func.__kwdefaults__, "backend": None} + else: + self.__kwdefaults__ = {"backend": None} + self.__module__ = func.__module__ + self.__qualname__ = func.__qualname__ + self.__dict__.update(func.__dict__) + self.__wrapped__ = func + + # Supplement docstring with backend info; compute and cache when needed + self._orig_doc = func.__doc__ + self._cached_doc = None + + self.orig_func = func + self.name = name + self.edge_attrs = edge_attrs + self.node_attrs = node_attrs + self.preserve_edge_attrs = preserve_edge_attrs or preserve_all_attrs + self.preserve_node_attrs = preserve_node_attrs or preserve_all_attrs + self.preserve_graph_attrs = preserve_graph_attrs or preserve_all_attrs + self.mutates_input = mutates_input + # Keep `returns_graph` private for now, b/c we may extend info on return types + self._returns_graph = returns_graph + + if edge_attrs is not None and not isinstance(edge_attrs, str | dict): + raise TypeError( + f"Bad type for edge_attrs: {type(edge_attrs)}. Expected str or dict." + ) from None + if node_attrs is not None and not isinstance(node_attrs, str | dict): + raise TypeError( + f"Bad type for node_attrs: {type(node_attrs)}. Expected str or dict." + ) from None + if not isinstance(self.preserve_edge_attrs, bool | str | dict): + raise TypeError( + f"Bad type for preserve_edge_attrs: {type(self.preserve_edge_attrs)}." + " Expected bool, str, or dict." + ) from None + if not isinstance(self.preserve_node_attrs, bool | str | dict): + raise TypeError( + f"Bad type for preserve_node_attrs: {type(self.preserve_node_attrs)}." + " Expected bool, str, or dict." + ) from None + if not isinstance(self.preserve_graph_attrs, bool | set): + raise TypeError( + f"Bad type for preserve_graph_attrs: {type(self.preserve_graph_attrs)}." + " Expected bool or set." + ) from None + if not isinstance(self.mutates_input, bool | dict): + raise TypeError( + f"Bad type for mutates_input: {type(self.mutates_input)}." + " Expected bool or dict." + ) from None + if not isinstance(self._returns_graph, bool): + raise TypeError( + f"Bad type for returns_graph: {type(self._returns_graph)}." + " Expected bool." + ) from None + + if isinstance(graphs, str): + graphs = {graphs: 0} + elif graphs is None: + pass + elif not isinstance(graphs, dict): + raise TypeError( + f"Bad type for graphs: {type(graphs)}. Expected str or dict." + ) from None + elif len(graphs) == 0: + raise KeyError("'graphs' must contain at least one variable name") from None + + # This dict comprehension is complicated for better performance; equivalent shown below. + self.optional_graphs = set() + self.list_graphs = set() + if graphs is None: + self.graphs = {} + else: + self.graphs = { + self.optional_graphs.add(val := k[:-1]) or val + if (last := k[-1]) == "?" + else self.list_graphs.add(val := k[1:-1]) or val + if last == "]" + else k: v + for k, v in graphs.items() + } + # The above is equivalent to: + # self.optional_graphs = {k[:-1] for k in graphs if k[-1] == "?"} + # self.list_graphs = {k[1:-1] for k in graphs if k[-1] == "]"} + # self.graphs = {k[:-1] if k[-1] == "?" else k: v for k, v in graphs.items()} + + # Compute and cache the signature on-demand + self._sig = None + + # Which backends implement this function? + self.backends = { + backend + for backend, info in backend_info.items() + if "functions" in info and name in info["functions"] + } + + if name in _registered_algorithms: + raise KeyError( + f"Algorithm already exists in dispatch registry: {name}" + ) from None + # Use the magic of `argmap` to turn `self` into a function. This does result + # in small additional overhead compared to calling `_dispatchable` directly, + # but `argmap` has the magical property that it can stack with other `argmap` + # decorators "for free". Being a function is better for REPRs and type-checkers. + self = argmap(_do_nothing)(self) + _registered_algorithms[name] = self + return self + + @property + def __doc__(self): + """If the cached documentation exists, it is returned. + Otherwise, the documentation is generated using _make_doc() method, + cached, and then returned.""" + + if (rv := self._cached_doc) is not None: + return rv + rv = self._cached_doc = self._make_doc() + return rv + + @__doc__.setter + def __doc__(self, val): + """Sets the original documentation to the given value and resets the + cached documentation.""" + + self._orig_doc = val + self._cached_doc = None + + @property + def __signature__(self): + """Return the signature of the original function, with the addition of + the `backend` and `backend_kwargs` parameters.""" + + if self._sig is None: + sig = inspect.signature(self.orig_func) + # `backend` is now a reserved argument used by dispatching. + # assert "backend" not in sig.parameters + if not any( + p.kind == inspect.Parameter.VAR_KEYWORD for p in sig.parameters.values() + ): + sig = sig.replace( + parameters=[ + *sig.parameters.values(), + inspect.Parameter( + "backend", inspect.Parameter.KEYWORD_ONLY, default=None + ), + inspect.Parameter( + "backend_kwargs", inspect.Parameter.VAR_KEYWORD + ), + ] + ) + else: + *parameters, var_keyword = sig.parameters.values() + sig = sig.replace( + parameters=[ + *parameters, + inspect.Parameter( + "backend", inspect.Parameter.KEYWORD_ONLY, default=None + ), + var_keyword, + ] + ) + self._sig = sig + return self._sig + + def __call__(self, /, *args, backend=None, **kwargs): + """Returns the result of the original function, or the backend function if + the backend is specified and that backend implements `func`.""" + + if not backends: + # Fast path if no backends are installed + if backend is not None and backend != "networkx": + raise ImportError(f"'{backend}' backend is not installed") + return self.orig_func(*args, **kwargs) + + # Use `backend_name` in this function instead of `backend`. + # This is purely for aesthetics and to make it easier to search for this + # variable since "backend" is used in many comments and log/error messages. + backend_name = backend + if backend_name is not None and backend_name not in backend_info: + raise ImportError(f"'{backend_name}' backend is not installed") + + graphs_resolved = {} + for gname, pos in self.graphs.items(): + if pos < len(args): + if gname in kwargs: + raise TypeError(f"{self.name}() got multiple values for {gname!r}") + graph = args[pos] + elif gname in kwargs: + graph = kwargs[gname] + elif gname not in self.optional_graphs: + raise TypeError( + f"{self.name}() missing required graph argument: {gname}" + ) + else: + continue + if graph is None: + if gname not in self.optional_graphs: + raise TypeError( + f"{self.name}() required graph argument {gname!r} is None; must be a graph" + ) + else: + graphs_resolved[gname] = graph + + # Alternative to the above that does not check duplicated args or missing required graphs. + # graphs_resolved = { + # gname: graph + # for gname, pos in self.graphs.items() + # if (graph := args[pos] if pos < len(args) else kwargs.get(gname)) is not None + # } + + # Check if any graph comes from a backend + if self.list_graphs: + # Make sure we don't lose values by consuming an iterator + args = list(args) + for gname in self.list_graphs & graphs_resolved.keys(): + list_of_graphs = list(graphs_resolved[gname]) + graphs_resolved[gname] = list_of_graphs + if gname in kwargs: + kwargs[gname] = list_of_graphs + else: + args[self.graphs[gname]] = list_of_graphs + + graph_backend_names = { + getattr(g, "__networkx_backend__", None) + for gname, g in graphs_resolved.items() + if gname not in self.list_graphs + } + for gname in self.list_graphs & graphs_resolved.keys(): + graph_backend_names.update( + getattr(g, "__networkx_backend__", None) + for g in graphs_resolved[gname] + ) + else: + graph_backend_names = { + getattr(g, "__networkx_backend__", None) + for g in graphs_resolved.values() + } + + backend_priority = nx.config.backend_priority.get( + self.name, + nx.config.backend_priority.generators + if self._returns_graph + else nx.config.backend_priority.algos, + ) + if self._is_testing and backend_priority and backend_name is None: + # Special path if we are running networkx tests with a backend. + # This even runs for (and handles) functions that mutate input graphs. + return self._convert_and_call_for_tests( + backend_priority[0], + args, + kwargs, + fallback_to_nx=nx.config.fallback_to_nx, + ) + + graph_backend_names.discard(None) + if backend_name is not None: + # Must run with the given backend. + # `can_run` only used for better log and error messages. + # Check `mutates_input` for logging, not behavior. + blurb = ( + "No other backends will be attempted, because the backend was " + f"specified with the `backend='{backend_name}'` keyword argument." + ) + extra_message = ( + f"'{backend_name}' backend raised NotImplementedError when calling " + f"`{self.name}'. {blurb}" + ) + if not graph_backend_names or graph_backend_names == {backend_name}: + # All graphs are backend graphs--no need to convert! + if self._can_backend_run(backend_name, args, kwargs): + return self._call_with_backend( + backend_name, args, kwargs, extra_message=extra_message + ) + if self._does_backend_have(backend_name): + extra = " for the given arguments" + else: + extra = "" + raise NotImplementedError( + f"`{self.name}' is not implemented by '{backend_name}' backend" + f"{extra}. {blurb}" + ) + if self._can_convert(backend_name, graph_backend_names): + if self._can_backend_run(backend_name, args, kwargs): + if self._will_call_mutate_input(args, kwargs): + _logger.debug( + "`%s' will mutate an input graph. This prevents automatic conversion " + "to, and use of, backends listed in `nx.config.backend_priority`. " + "Using backend specified by the " + "`backend='%s'` keyword argument. This may change behavior by not " + "mutating inputs.", + self.name, + backend_name, + ) + mutations = [] + else: + mutations = None + rv = self._convert_and_call( + backend_name, + graph_backend_names, + args, + kwargs, + extra_message=extra_message, + mutations=mutations, + ) + if mutations: + for cache, key in mutations: + # If the call mutates inputs, then remove all inputs gotten + # from cache. We do this after all conversions (and call) so + # that a graph can be gotten from a cache multiple times. + cache.pop(key, None) + return rv + if self._does_backend_have(backend_name): + extra = " for the given arguments" + else: + extra = "" + raise NotImplementedError( + f"`{self.name}' is not implemented by '{backend_name}' backend" + f"{extra}. {blurb}" + ) + if len(graph_backend_names) == 1: + maybe_s = "" + graph_backend_names = f"'{next(iter(graph_backend_names))}'" + else: + maybe_s = "s" + raise TypeError( + f"`{self.name}' is unable to convert graph from backend{maybe_s} " + f"{graph_backend_names} to '{backend_name}' backend, which was " + f"specified with the `backend='{backend_name}'` keyword argument. " + f"{blurb}" + ) + + if self._will_call_mutate_input(args, kwargs): + # The current behavior for functions that mutate input graphs: + # + # 1. If backend is specified by `backend=` keyword, use it (done above). + # 2. If inputs are from one backend, try to use it. + # 3. If all input graphs are instances of `nx.Graph`, then run with the + # default "networkx" implementation. + # + # Do not automatically convert if a call will mutate inputs, because doing + # so would change behavior. Hence, we should fail if there are multiple input + # backends or if the input backend does not implement the function. However, + # we offer a way for backends to circumvent this if they do not implement + # this function: we will fall back to the default "networkx" implementation + # without using conversions if all input graphs are subclasses of `nx.Graph`. + blurb = ( + "conversions between backends (if configured) will not be attempted, " + "because this may change behavior. You may specify a backend to use " + "by passing e.g. `backend='networkx'` keyword, but this may also " + "change behavior by not mutating inputs." + ) + fallback_blurb = ( + "This call will mutate inputs, so fall back to 'networkx' " + "backend (without converting) since all input graphs are " + "instances of nx.Graph and are hopefully compatible.", + ) + if len(graph_backend_names) == 1: + [backend_name] = graph_backend_names + msg_template = ( + f"Backend '{backend_name}' does not implement `{self.name}'%s. " + f"This call will mutate an input, so automatic {blurb}" + ) + # `can_run` is only used for better log and error messages + try: + if self._can_backend_run(backend_name, args, kwargs): + return self._call_with_backend( + backend_name, + args, + kwargs, + extra_message=msg_template % " with these arguments", + ) + except NotImplementedError as exc: + if all(isinstance(g, nx.Graph) for g in graphs_resolved.values()): + _logger.debug( + "Backend '%s' raised when calling `%s': %s. %s", + backend_name, + self.name, + exc, + fallback_blurb, + ) + else: + raise + else: + if nx.config.fallback_to_nx and all( + # Consider dropping the `isinstance` check here to allow + # duck-type graphs, but let's wait for a backend to ask us. + isinstance(g, nx.Graph) + for g in graphs_resolved.values() + ): + # Log that we are falling back to networkx + _logger.debug( + "Backend '%s' can't run `%s'. %s", + backend_name, + self.name, + fallback_blurb, + ) + else: + if self._does_backend_have(backend_name): + extra = " with these arguments" + else: + extra = "" + raise NotImplementedError(msg_template % extra) + elif nx.config.fallback_to_nx and all( + # Consider dropping the `isinstance` check here to allow + # duck-type graphs, but let's wait for a backend to ask us. + isinstance(g, nx.Graph) + for g in graphs_resolved.values() + ): + # Log that we are falling back to networkx + _logger.debug( + "`%s' was called with inputs from multiple backends: %s. %s", + self.name, + graph_backend_names, + fallback_blurb, + ) + else: + raise RuntimeError( + f"`{self.name}' will mutate an input, but it was called with inputs " + f"from multiple backends: {graph_backend_names}. Automatic {blurb}" + ) + # At this point, no backends are available to handle the call with + # the input graph types, but if the input graphs are compatible + # nx.Graph instances, fall back to networkx without converting. + return self.orig_func(*args, **kwargs) + + # We may generalize fallback configuration as e.g. `nx.config.backend_fallback` + if nx.config.fallback_to_nx or not graph_backend_names: + # Use "networkx" by default if there are no inputs from backends. + # For example, graph generators should probably return NetworkX graphs + # instead of raising NotImplementedError. + backend_fallback = ["networkx"] + else: + backend_fallback = [] + + # ########################## + # # How this behaves today # + # ########################## + # + # The prose below describes the implementation and a *possible* way to + # generalize "networkx" as "just another backend". The code is structured + # to perhaps someday support backend-to-backend conversions (including + # simply passing objects from one backend directly to another backend; + # the dispatch machinery does not necessarily need to perform conversions), + # but since backend-to-backend matching is not yet supported, the following + # code is merely a convenient way to implement dispatch behaviors that have + # been carefully developed since NetworkX 3.0 and to include falling back + # to the default NetworkX implementation. + # + # The current behavior for functions that don't mutate input graphs: + # + # 1. If backend is specified by `backend=` keyword, use it (done above). + # 2. If input is from a backend other than "networkx", try to use it. + # - Note: if present, "networkx" graphs will be converted to the backend. + # 3. If input is from "networkx" (or no backend), try to use backends from + # `backend_priority` before running with the default "networkx" implementation. + # 4. If configured, "fall back" and run with the default "networkx" implementation. + # + # ################################################ + # # How this is implemented and may work someday # + # ################################################ + # + # Let's determine the order of backends we should try according + # to `backend_priority`, `backend_fallback`, and input backends. + # There are two† dimensions of priorities to consider: + # backend_priority > unspecified > backend_fallback + # and + # backend of an input > not a backend of an input + # These are combined to form five groups of priorities as such: + # + # input ~input + # +-------+-------+ + # backend_priority | 1 | 2 | + # unspecified | 3 | N/A | (if only 1) + # backend_fallback | 4 | 5 | + # +-------+-------+ + # + # This matches the behaviors we developed in versions 3.0 to 3.2, it + # ought to cover virtually all use cases we expect, and I (@eriknw) don't + # think it can be done any simpler (although it can be generalized further + # and made to be more complicated to capture 100% of *possible* use cases). + # Some observations: + # + # 1. If an input is in `backend_priority`, it will be used before trying a + # backend that is higher priority in `backend_priority` and not an input. + # 2. To prioritize converting from one backend to another even if both implement + # a function, list one in `backend_priority` and one in `backend_fallback`. + # 3. To disable conversions, set `backend_priority` and `backend_fallback` to []. + # + # †: There is actually a third dimension of priorities: + # should_run == True > should_run == False + # Backends with `can_run == True` and `should_run == False` are tried last. + # + seen = set() + group1 = [] # In backend_priority, and an input + group2 = [] # In backend_priority, but not an input + for name in backend_priority: + if name in seen: + continue + seen.add(name) + if name in graph_backend_names: + group1.append(name) + else: + group2.append(name) + group4 = [] # In backend_fallback, and an input + group5 = [] # In backend_fallback, but not an input + for name in backend_fallback: + if name in seen: + continue + seen.add(name) + if name in graph_backend_names: + group4.append(name) + else: + group5.append(name) + # An input, but not in backend_priority or backend_fallback. + group3 = graph_backend_names - seen + if len(group3) > 1: + # `group3` backends are not configured for automatic conversion or fallback. + # There are at least two issues if this group contains multiple backends: + # + # 1. How should we prioritize them? We have no good way to break ties. + # Although we could arbitrarily choose alphabetical or left-most, + # let's follow the Zen of Python and refuse the temptation to guess. + # 2. We probably shouldn't automatically convert to these backends, + # because we are not configured to do so. + # + # (2) is important to allow disabling all conversions by setting both + # `nx.config.backend_priority` and `nx.config.backend_fallback` to []. + # + # If there is a single backend in `group3`, then giving it priority over + # the fallback backends is what is generally expected. For example, this + # allows input graphs of `backend_fallback` backends (such as "networkx") + # to be converted to, and run with, the unspecified backend. + _logger.debug( + "Call to `%s' has inputs from multiple backends, %s, that " + "have no priority set in `nx.config.backend_priority`, " + "so automatic conversions to " + "these backends will not be attempted.", + self.name, + group3, + ) + group3 = () + + try_order = list(itertools.chain(group1, group2, group3, group4, group5)) + if len(try_order) > 1: + # Should we consider adding an option for more verbose logging? + # For example, we could explain the order of `try_order` in detail. + _logger.debug( + "Call to `%s' has inputs from %s backends, and will try to use " + "backends in the following order: %s", + self.name, + graph_backend_names or "no", + try_order, + ) + backends_to_try_again = [] + for is_not_first, backend_name in enumerate(try_order): + if is_not_first: + _logger.debug("Trying next backend: '%s'", backend_name) + try: + if not graph_backend_names or graph_backend_names == {backend_name}: + if self._can_backend_run(backend_name, args, kwargs): + return self._call_with_backend(backend_name, args, kwargs) + elif self._can_convert( + backend_name, graph_backend_names + ) and self._can_backend_run(backend_name, args, kwargs): + if self._should_backend_run(backend_name, args, kwargs): + rv = self._convert_and_call( + backend_name, graph_backend_names, args, kwargs + ) + if ( + self._returns_graph + and graph_backend_names + and backend_name not in graph_backend_names + ): + # If the function has graph inputs and graph output, we try + # to make it so the backend of the return type will match the + # backend of the input types. In case this is not possible, + # let's tell the user that the backend of the return graph + # has changed. Perhaps we could try to convert back, but + # "fallback" backends for graph generators should typically + # be compatible with NetworkX graphs. + _logger.debug( + "Call to `%s' is returning a graph from a different " + "backend! It has inputs from %s backends, but ran with " + "'%s' backend and is returning graph from '%s' backend", + self.name, + graph_backend_names, + backend_name, + backend_name, + ) + return rv + # `should_run` is False, but `can_run` is True, so try again later + backends_to_try_again.append(backend_name) + except NotImplementedError as exc: + _logger.debug( + "Backend '%s' raised when calling `%s': %s", + backend_name, + self.name, + exc, + ) + + # We are about to fail. Let's try backends with can_run=True and should_run=False. + # This is unlikely to help today since we try to run with "networkx" before this. + for backend_name in backends_to_try_again: + _logger.debug( + "Trying backend: '%s' (ignoring `should_run=False`)", backend_name + ) + try: + rv = self._convert_and_call( + backend_name, graph_backend_names, args, kwargs + ) + if ( + self._returns_graph + and graph_backend_names + and backend_name not in graph_backend_names + ): + _logger.debug( + "Call to `%s' is returning a graph from a different " + "backend! It has inputs from %s backends, but ran with " + "'%s' backend and is returning graph from '%s' backend", + self.name, + graph_backend_names, + backend_name, + backend_name, + ) + return rv + except NotImplementedError as exc: + _logger.debug( + "Backend '%s' raised when calling `%s': %s", + backend_name, + self.name, + exc, + ) + # As a final effort, we could try to convert and run with `group3` backends + # that we discarded when `len(group3) > 1`, but let's not consider doing + # so until there is a reasonable request for it. + + if len(unspecified_backends := graph_backend_names - seen) > 1: + raise TypeError( + f"Unable to convert inputs from {graph_backend_names} backends and " + f"run `{self.name}'. NetworkX is configured to automatically convert " + f"to {try_order} backends. To remedy this, you may enable automatic " + f"conversion to {unspecified_backends} backends by adding them to " + "`nx.config.backend_priority`, or you " + "may specify a backend to use with the `backend=` keyword argument." + ) + raise NotImplementedError( + f"`{self.name}' is not implemented by {try_order} backends. To remedy " + "this, you may enable automatic conversion to more backends (including " + "'networkx') by adding them to `nx.config.backend_priority`, " + "or you may specify a backend to use with " + "the `backend=` keyword argument." + ) + + def _will_call_mutate_input(self, args, kwargs): + return (mutates_input := self.mutates_input) and ( + mutates_input is True + or any( + # If `mutates_input` begins with "not ", then assume the argument is bool, + # otherwise treat it as a node or edge attribute if it's not None. + not ( + args[arg_pos] + if len(args) > arg_pos + # This assumes that e.g. `copy=True` is the default + else kwargs.get(arg_name[4:], True) + ) + if arg_name.startswith("not ") + else (args[arg_pos] if len(args) > arg_pos else kwargs.get(arg_name)) + is not None + for arg_name, arg_pos in mutates_input.items() + ) + ) + + def _can_convert(self, backend_name, graph_backend_names): + # Backend-to-backend conversion not supported yet. + # We can only convert to and from networkx. + rv = backend_name == "networkx" or graph_backend_names.issubset( + {"networkx", backend_name} + ) + if not rv: + _logger.debug( + "Unable to convert from %s backends to '%s' backend", + graph_backend_names, + backend_name, + ) + return rv + + def _does_backend_have(self, backend_name): + """Does the specified backend have this algorithm?""" + if backend_name == "networkx": + return True + # Inspect the backend; don't trust metadata used to create `self.backends` + backend = _load_backend(backend_name) + return hasattr(backend, self.name) + + def _can_backend_run(self, backend_name, args, kwargs): + """Can the specified backend run this algorithm with these arguments?""" + if backend_name == "networkx": + return True + backend = _load_backend(backend_name) + # `backend.can_run` and `backend.should_run` may return strings that describe + # why they can't or shouldn't be run. + if not hasattr(backend, self.name): + _logger.debug( + "Backend '%s' does not implement `%s'", backend_name, self.name + ) + return False + can_run = backend.can_run(self.name, args, kwargs) + if isinstance(can_run, str) or not can_run: + reason = f", because: {can_run}" if isinstance(can_run, str) else "" + _logger.debug( + "Backend '%s' can't run `%s` with arguments: %s%s", + backend_name, + self.name, + _LazyArgsRepr(self, args, kwargs), + reason, + ) + return False + return True + + def _should_backend_run(self, backend_name, args, kwargs): + """Should the specified backend run this algorithm with these arguments? + + Note that this does not check ``backend.can_run``. + """ + # `backend.can_run` and `backend.should_run` may return strings that describe + # why they can't or shouldn't be run. + if backend_name == "networkx": + return True + backend = _load_backend(backend_name) + should_run = backend.should_run(self.name, args, kwargs) + if isinstance(should_run, str) or not should_run: + reason = f", because: {should_run}" if isinstance(should_run, str) else "" + _logger.debug( + "Backend '%s' shouldn't run `%s` with arguments: %s%s", + backend_name, + self.name, + _LazyArgsRepr(self, args, kwargs), + reason, + ) + return False + return True + + def _convert_arguments(self, backend_name, args, kwargs, *, use_cache, mutations): + """Convert graph arguments to the specified backend. + + Returns + ------- + args tuple and kwargs dict + """ + bound = self.__signature__.bind(*args, **kwargs) + bound.apply_defaults() + if not self.graphs: + bound_kwargs = bound.kwargs + del bound_kwargs["backend"] + return bound.args, bound_kwargs + if backend_name == "networkx": + # `backend_interface.convert_from_nx` preserves everything + preserve_edge_attrs = preserve_node_attrs = preserve_graph_attrs = True + else: + preserve_edge_attrs = self.preserve_edge_attrs + preserve_node_attrs = self.preserve_node_attrs + preserve_graph_attrs = self.preserve_graph_attrs + edge_attrs = self.edge_attrs + node_attrs = self.node_attrs + # Convert graphs into backend graph-like object + # Include the edge and/or node labels if provided to the algorithm + if preserve_edge_attrs is False: + # e.g. `preserve_edge_attrs=False` + pass + elif preserve_edge_attrs is True: + # e.g. `preserve_edge_attrs=True` + edge_attrs = None + elif isinstance(preserve_edge_attrs, str): + if bound.arguments[preserve_edge_attrs] is True or callable( + bound.arguments[preserve_edge_attrs] + ): + # e.g. `preserve_edge_attrs="attr"` and `func(attr=True)` + # e.g. `preserve_edge_attrs="attr"` and `func(attr=myfunc)` + preserve_edge_attrs = True + edge_attrs = None + elif bound.arguments[preserve_edge_attrs] is False and ( + isinstance(edge_attrs, str) + and edge_attrs == preserve_edge_attrs + or isinstance(edge_attrs, dict) + and preserve_edge_attrs in edge_attrs + ): + # e.g. `preserve_edge_attrs="attr"` and `func(attr=False)` + # Treat `False` argument as meaning "preserve_edge_data=False" + # and not `False` as the edge attribute to use. + preserve_edge_attrs = False + edge_attrs = None + else: + # e.g. `preserve_edge_attrs="attr"` and `func(attr="weight")` + preserve_edge_attrs = False + # Else: e.g. `preserve_edge_attrs={"G": {"weight": 1}}` + + if edge_attrs is None: + # May have been set to None above b/c all attributes are preserved + pass + elif isinstance(edge_attrs, str): + if edge_attrs[0] == "[": + # e.g. `edge_attrs="[edge_attributes]"` (argument of list of attributes) + # e.g. `func(edge_attributes=["foo", "bar"])` + edge_attrs = { + edge_attr: 1 for edge_attr in bound.arguments[edge_attrs[1:-1]] + } + elif callable(bound.arguments[edge_attrs]): + # e.g. `edge_attrs="weight"` and `func(weight=myfunc)` + preserve_edge_attrs = True + edge_attrs = None + elif bound.arguments[edge_attrs] is not None: + # e.g. `edge_attrs="weight"` and `func(weight="foo")` (default of 1) + edge_attrs = {bound.arguments[edge_attrs]: 1} + elif self.name == "to_numpy_array" and hasattr( + bound.arguments["dtype"], "names" + ): + # Custom handling: attributes may be obtained from `dtype` + edge_attrs = { + edge_attr: 1 for edge_attr in bound.arguments["dtype"].names + } + else: + # e.g. `edge_attrs="weight"` and `func(weight=None)` + edge_attrs = None + else: + # e.g. `edge_attrs={"attr": "default"}` and `func(attr="foo", default=7)` + # e.g. `edge_attrs={"attr": 0}` and `func(attr="foo")` + edge_attrs = { + edge_attr: bound.arguments.get(val, 1) if isinstance(val, str) else val + for key, val in edge_attrs.items() + if (edge_attr := bound.arguments[key]) is not None + } + + if preserve_node_attrs is False: + # e.g. `preserve_node_attrs=False` + pass + elif preserve_node_attrs is True: + # e.g. `preserve_node_attrs=True` + node_attrs = None + elif isinstance(preserve_node_attrs, str): + if bound.arguments[preserve_node_attrs] is True or callable( + bound.arguments[preserve_node_attrs] + ): + # e.g. `preserve_node_attrs="attr"` and `func(attr=True)` + # e.g. `preserve_node_attrs="attr"` and `func(attr=myfunc)` + preserve_node_attrs = True + node_attrs = None + elif bound.arguments[preserve_node_attrs] is False and ( + isinstance(node_attrs, str) + and node_attrs == preserve_node_attrs + or isinstance(node_attrs, dict) + and preserve_node_attrs in node_attrs + ): + # e.g. `preserve_node_attrs="attr"` and `func(attr=False)` + # Treat `False` argument as meaning "preserve_node_data=False" + # and not `False` as the node attribute to use. Is this used? + preserve_node_attrs = False + node_attrs = None + else: + # e.g. `preserve_node_attrs="attr"` and `func(attr="weight")` + preserve_node_attrs = False + # Else: e.g. `preserve_node_attrs={"G": {"pos": None}}` + + if node_attrs is None: + # May have been set to None above b/c all attributes are preserved + pass + elif isinstance(node_attrs, str): + if node_attrs[0] == "[": + # e.g. `node_attrs="[node_attributes]"` (argument of list of attributes) + # e.g. `func(node_attributes=["foo", "bar"])` + node_attrs = { + node_attr: None for node_attr in bound.arguments[node_attrs[1:-1]] + } + elif callable(bound.arguments[node_attrs]): + # e.g. `node_attrs="weight"` and `func(weight=myfunc)` + preserve_node_attrs = True + node_attrs = None + elif bound.arguments[node_attrs] is not None: + # e.g. `node_attrs="weight"` and `func(weight="foo")` + node_attrs = {bound.arguments[node_attrs]: None} + else: + # e.g. `node_attrs="weight"` and `func(weight=None)` + node_attrs = None + else: + # e.g. `node_attrs={"attr": "default"}` and `func(attr="foo", default=7)` + # e.g. `node_attrs={"attr": 0}` and `func(attr="foo")` + node_attrs = { + node_attr: bound.arguments.get(val) if isinstance(val, str) else val + for key, val in node_attrs.items() + if (node_attr := bound.arguments[key]) is not None + } + + # It should be safe to assume that we either have networkx graphs or backend graphs. + # Future work: allow conversions between backends. + for gname in self.graphs: + if gname in self.list_graphs: + bound.arguments[gname] = [ + self._convert_graph( + backend_name, + g, + edge_attrs=edge_attrs, + node_attrs=node_attrs, + preserve_edge_attrs=preserve_edge_attrs, + preserve_node_attrs=preserve_node_attrs, + preserve_graph_attrs=preserve_graph_attrs, + graph_name=gname, + use_cache=use_cache, + mutations=mutations, + ) + if getattr(g, "__networkx_backend__", "networkx") != backend_name + else g + for g in bound.arguments[gname] + ] + else: + graph = bound.arguments[gname] + if graph is None: + if gname in self.optional_graphs: + continue + raise TypeError( + f"Missing required graph argument `{gname}` in {self.name} function" + ) + if isinstance(preserve_edge_attrs, dict): + preserve_edges = False + edges = preserve_edge_attrs.get(gname, edge_attrs) + else: + preserve_edges = preserve_edge_attrs + edges = edge_attrs + if isinstance(preserve_node_attrs, dict): + preserve_nodes = False + nodes = preserve_node_attrs.get(gname, node_attrs) + else: + preserve_nodes = preserve_node_attrs + nodes = node_attrs + if isinstance(preserve_graph_attrs, set): + preserve_graph = gname in preserve_graph_attrs + else: + preserve_graph = preserve_graph_attrs + if getattr(graph, "__networkx_backend__", "networkx") != backend_name: + bound.arguments[gname] = self._convert_graph( + backend_name, + graph, + edge_attrs=edges, + node_attrs=nodes, + preserve_edge_attrs=preserve_edges, + preserve_node_attrs=preserve_nodes, + preserve_graph_attrs=preserve_graph, + graph_name=gname, + use_cache=use_cache, + mutations=mutations, + ) + bound_kwargs = bound.kwargs + del bound_kwargs["backend"] + return bound.args, bound_kwargs + + def _convert_graph( + self, + backend_name, + graph, + *, + edge_attrs, + node_attrs, + preserve_edge_attrs, + preserve_node_attrs, + preserve_graph_attrs, + graph_name, + use_cache, + mutations, + ): + if ( + use_cache + and (nx_cache := getattr(graph, "__networkx_cache__", None)) is not None + ): + cache = nx_cache.setdefault("backends", {}).setdefault(backend_name, {}) + key = _get_cache_key( + edge_attrs=edge_attrs, + node_attrs=node_attrs, + preserve_edge_attrs=preserve_edge_attrs, + preserve_node_attrs=preserve_node_attrs, + preserve_graph_attrs=preserve_graph_attrs, + ) + compat_key, rv = _get_from_cache(cache, key, mutations=mutations) + if rv is not None: + if "cache" not in nx.config.warnings_to_ignore: + warnings.warn( + "Note: conversions to backend graphs are saved to cache " + "(`G.__networkx_cache__` on the original graph) by default." + "\n\nThis warning means the cached graph is being used " + f"for the {backend_name!r} backend in the " + f"call to {self.name}.\n\nFor the cache to be consistent " + "(i.e., correct), the input graph must not have been " + "manually mutated since the cached graph was created. " + "Examples of manually mutating the graph data structures " + "resulting in an inconsistent cache include:\n\n" + " >>> G[u][v][key] = val\n\n" + "and\n\n" + " >>> for u, v, d in G.edges(data=True):\n" + " ... d[key] = val\n\n" + "Using methods such as `G.add_edge(u, v, weight=val)` " + "will correctly clear the cache to keep it consistent. " + "You may also use `G.__networkx_cache__.clear()` to " + "manually clear the cache, or set `G.__networkx_cache__` " + "to None to disable caching for G. Enable or disable caching " + "globally via `nx.config.cache_converted_graphs` config.\n\n" + "To disable this warning:\n\n" + ' >>> nx.config.warnings_to_ignore.add("cache")\n' + ) + _logger.debug( + "Using cached converted graph (from '%s' to '%s' backend) " + "in call to `%s' for '%s' argument", + getattr(graph, "__networkx_backend__", None), + backend_name, + self.name, + graph_name, + ) + return rv + + if backend_name == "networkx": + # Perhaps we should check that "__networkx_backend__" attribute exists + # and return the original object if not. + if not hasattr(graph, "__networkx_backend__"): + _logger.debug( + "Unable to convert input to 'networkx' backend in call to `%s' for " + "'%s argument, because it is not from a backend (i.e., it does not " + "have `G.__networkx_backend__` attribute). Using the original " + "object: %s", + self.name, + graph_name, + graph, + ) + # This may fail, but let it fail in the networkx function + return graph + backend = _load_backend(graph.__networkx_backend__) + rv = backend.convert_to_nx(graph) + else: + backend = _load_backend(backend_name) + rv = backend.convert_from_nx( + graph, + edge_attrs=edge_attrs, + node_attrs=node_attrs, + preserve_edge_attrs=preserve_edge_attrs, + preserve_node_attrs=preserve_node_attrs, + # Always preserve graph attrs when we are caching b/c this should be + # cheap and may help prevent extra (unnecessary) conversions. Because + # we do this, we don't need `preserve_graph_attrs` in the cache key. + preserve_graph_attrs=preserve_graph_attrs or use_cache, + name=self.name, + graph_name=graph_name, + ) + if use_cache and nx_cache is not None and mutations is None: + _set_to_cache(cache, key, rv) + _logger.debug( + "Caching converted graph (from '%s' to '%s' backend) " + "in call to `%s' for '%s' argument", + getattr(graph, "__networkx_backend__", None), + backend_name, + self.name, + graph_name, + ) + + return rv + + def _call_with_backend(self, backend_name, args, kwargs, *, extra_message=None): + """Call this dispatchable function with a backend without converting inputs.""" + if backend_name == "networkx": + return self.orig_func(*args, **kwargs) + backend = _load_backend(backend_name) + _logger.debug( + "Using backend '%s' for call to `%s' with arguments: %s", + backend_name, + self.name, + _LazyArgsRepr(self, args, kwargs), + ) + try: + return getattr(backend, self.name)(*args, **kwargs) + except NotImplementedError as exc: + if extra_message is not None: + _logger.debug( + "Backend '%s' raised when calling `%s': %s", + backend_name, + self.name, + exc, + ) + raise NotImplementedError(extra_message) from exc + raise + + def _convert_and_call( + self, + backend_name, + input_backend_names, + args, + kwargs, + *, + extra_message=None, + mutations=None, + ): + """Call this dispatchable function with a backend after converting inputs. + + Parameters + ---------- + backend_name : str + input_backend_names : set[str] + args : arguments tuple + kwargs : keywords dict + extra_message : str, optional + Additional message to log if NotImplementedError is raised by backend. + mutations : list, optional + Used to clear objects gotten from cache if inputs will be mutated. + """ + if backend_name == "networkx": + func = self.orig_func + else: + backend = _load_backend(backend_name) + func = getattr(backend, self.name) + other_backend_names = input_backend_names - {backend_name} + _logger.debug( + "Converting input graphs from %s backend%s to '%s' backend for call to `%s'", + other_backend_names + if len(other_backend_names) > 1 + else f"'{next(iter(other_backend_names))}'", + "s" if len(other_backend_names) > 1 else "", + backend_name, + self.name, + ) + try: + converted_args, converted_kwargs = self._convert_arguments( + backend_name, + args, + kwargs, + use_cache=nx.config.cache_converted_graphs, + mutations=mutations, + ) + except NotImplementedError as exc: + # Only log the exception if we are adding an extra message + # because we don't want to lose any information. + _logger.debug( + "Failed to convert graphs from %s to '%s' backend for call to `%s'" + + ("" if extra_message is None else ": %s"), + input_backend_names, + backend_name, + self.name, + *(() if extra_message is None else (exc,)), + ) + if extra_message is not None: + raise NotImplementedError(extra_message) from exc + raise + if backend_name != "networkx": + _logger.debug( + "Using backend '%s' for call to `%s' with arguments: %s", + backend_name, + self.name, + _LazyArgsRepr(self, converted_args, converted_kwargs), + ) + try: + return func(*converted_args, **converted_kwargs) + except NotImplementedError as exc: + if extra_message is not None: + _logger.debug( + "Backend '%s' raised when calling `%s': %s", + backend_name, + self.name, + exc, + ) + raise NotImplementedError(extra_message) from exc + raise + + def _convert_and_call_for_tests( + self, backend_name, args, kwargs, *, fallback_to_nx=False + ): + """Call this dispatchable function with a backend; for use with testing.""" + backend = _load_backend(backend_name) + if not self._can_backend_run(backend_name, args, kwargs): + if fallback_to_nx or not self.graphs: + if fallback_to_nx: + _logger.debug( + "Falling back to use 'networkx' instead of '%s' backend " + "for call to `%s' with arguments: %s", + backend_name, + self.name, + _LazyArgsRepr(self, args, kwargs), + ) + return self.orig_func(*args, **kwargs) + + import pytest + + msg = f"'{self.name}' not implemented by {backend_name}" + if hasattr(backend, self.name): + msg += " with the given arguments" + pytest.xfail(msg) + + from collections.abc import Iterable, Iterator, Mapping + from copy import copy, deepcopy + from io import BufferedReader, BytesIO, StringIO, TextIOWrapper + from itertools import tee + from random import Random + + import numpy as np + from numpy.random import Generator, RandomState + from scipy.sparse import sparray + + # We sometimes compare the backend result to the original result, + # so we need two sets of arguments. We tee iterators and copy + # random state so that they may be used twice. + if not args: + args1 = args2 = args + else: + args1, args2 = zip( + *( + (arg, deepcopy(arg)) + if isinstance(arg, RandomState) + else (arg, copy(arg)) + if isinstance(arg, BytesIO | StringIO | Random | Generator) + else tee(arg) + if isinstance(arg, Iterator) + and not isinstance(arg, BufferedReader | TextIOWrapper) + else (arg, arg) + for arg in args + ) + ) + if not kwargs: + kwargs1 = kwargs2 = kwargs + else: + kwargs1, kwargs2 = zip( + *( + ((k, v), (k, deepcopy(v))) + if isinstance(v, RandomState) + else ((k, v), (k, copy(v))) + if isinstance(v, BytesIO | StringIO | Random | Generator) + else ((k, (teed := tee(v))[0]), (k, teed[1])) + if isinstance(v, Iterator) + and not isinstance(v, BufferedReader | TextIOWrapper) + else ((k, v), (k, v)) + for k, v in kwargs.items() + ) + ) + kwargs1 = dict(kwargs1) + kwargs2 = dict(kwargs2) + try: + converted_args, converted_kwargs = self._convert_arguments( + backend_name, args1, kwargs1, use_cache=False, mutations=None + ) + _logger.debug( + "Using backend '%s' for call to `%s' with arguments: %s", + backend_name, + self.name, + _LazyArgsRepr(self, converted_args, converted_kwargs), + ) + result = getattr(backend, self.name)(*converted_args, **converted_kwargs) + except NotImplementedError as exc: + if fallback_to_nx: + _logger.debug( + "Graph conversion failed; falling back to use 'networkx' instead " + "of '%s' backend for call to `%s'", + backend_name, + self.name, + ) + return self.orig_func(*args2, **kwargs2) + import pytest + + pytest.xfail( + exc.args[0] if exc.args else f"{self.name} raised {type(exc).__name__}" + ) + # Verify that `self._returns_graph` is correct. This compares the return type + # to the type expected from `self._returns_graph`. This handles tuple and list + # return types, but *does not* catch functions that yield graphs. + if ( + self._returns_graph + != ( + isinstance(result, nx.Graph) + or hasattr(result, "__networkx_backend__") + or isinstance(result, tuple | list) + and any( + isinstance(x, nx.Graph) or hasattr(x, "__networkx_backend__") + for x in result + ) + ) + and not ( + # May return Graph or None + self.name in {"check_planarity", "check_planarity_recursive"} + and any(x is None for x in result) + ) + and not ( + # May return Graph or dict + self.name in {"held_karp_ascent"} + and any(isinstance(x, dict) for x in result) + ) + and self.name + not in { + # yields graphs + "all_triads", + "general_k_edge_subgraphs", + # yields graphs or arrays + "nonisomorphic_trees", + } + ): + raise RuntimeError(f"`returns_graph` is incorrect for {self.name}") + + def check_result(val, depth=0): + if isinstance(val, np.number): + raise RuntimeError( + f"{self.name} returned a numpy scalar {val} ({type(val)}, depth={depth})" + ) + if isinstance(val, np.ndarray | sparray): + return + if isinstance(val, nx.Graph): + check_result(val._node, depth=depth + 1) + check_result(val._adj, depth=depth + 1) + return + if isinstance(val, Iterator): + raise NotImplementedError + if isinstance(val, Iterable) and not isinstance(val, str): + for x in val: + check_result(x, depth=depth + 1) + if isinstance(val, Mapping): + for x in val.values(): + check_result(x, depth=depth + 1) + + def check_iterator(it): + for val in it: + try: + check_result(val) + except RuntimeError as exc: + raise RuntimeError( + f"{self.name} returned a numpy scalar {val} ({type(val)})" + ) from exc + yield val + + if self.name in {"from_edgelist"}: + # numpy scalars are explicitly given as values in some tests + pass + elif isinstance(result, Iterator): + result = check_iterator(result) + else: + try: + check_result(result) + except RuntimeError as exc: + raise RuntimeError( + f"{self.name} returned a numpy scalar {result} ({type(result)})" + ) from exc + check_result(result) + + if self.name in { + "edmonds_karp", + "barycenter", + "contracted_edge", + "contracted_nodes", + "stochastic_graph", + "relabel_nodes", + "maximum_branching", + "incremental_closeness_centrality", + "minimal_branching", + "minimum_spanning_arborescence", + "recursive_simple_cycles", + "connected_double_edge_swap", + }: + # Special-case algorithms that mutate input graphs + bound = self.__signature__.bind(*converted_args, **converted_kwargs) + bound.apply_defaults() + bound2 = self.__signature__.bind(*args2, **kwargs2) + bound2.apply_defaults() + if self.name in { + "minimal_branching", + "minimum_spanning_arborescence", + "recursive_simple_cycles", + "connected_double_edge_swap", + }: + G1 = backend.convert_to_nx(bound.arguments["G"]) + G2 = bound2.arguments["G"] + G2._adj = G1._adj + if G2.is_directed(): + G2._pred = G1._pred + nx._clear_cache(G2) + elif self.name == "edmonds_karp": + R1 = backend.convert_to_nx(bound.arguments["residual"]) + R2 = bound2.arguments["residual"] + if R1 is not None and R2 is not None: + for k, v in R1.edges.items(): + R2.edges[k]["flow"] = v["flow"] + R2.graph.update(R1.graph) + nx._clear_cache(R2) + elif self.name == "barycenter" and bound.arguments["attr"] is not None: + G1 = backend.convert_to_nx(bound.arguments["G"]) + G2 = bound2.arguments["G"] + attr = bound.arguments["attr"] + for k, v in G1.nodes.items(): + G2.nodes[k][attr] = v[attr] + nx._clear_cache(G2) + elif ( + self.name in {"contracted_nodes", "contracted_edge"} + and not bound.arguments["copy"] + ): + # Edges and nodes changed; node "contraction" and edge "weight" attrs + G1 = backend.convert_to_nx(bound.arguments["G"]) + G2 = bound2.arguments["G"] + G2.__dict__.update(G1.__dict__) + nx._clear_cache(G2) + elif self.name == "stochastic_graph" and not bound.arguments["copy"]: + G1 = backend.convert_to_nx(bound.arguments["G"]) + G2 = bound2.arguments["G"] + for k, v in G1.edges.items(): + G2.edges[k]["weight"] = v["weight"] + nx._clear_cache(G2) + elif ( + self.name == "relabel_nodes" + and not bound.arguments["copy"] + or self.name in {"incremental_closeness_centrality"} + ): + G1 = backend.convert_to_nx(bound.arguments["G"]) + G2 = bound2.arguments["G"] + if G1 is G2: + return G2 + G2._node.clear() + G2._node.update(G1._node) + G2._adj.clear() + G2._adj.update(G1._adj) + if hasattr(G1, "_pred") and hasattr(G2, "_pred"): + G2._pred.clear() + G2._pred.update(G1._pred) + if hasattr(G1, "_succ") and hasattr(G2, "_succ"): + G2._succ.clear() + G2._succ.update(G1._succ) + nx._clear_cache(G2) + if self.name == "relabel_nodes": + return G2 + return backend.convert_to_nx(result) + + converted_result = backend.convert_to_nx(result) + if isinstance(converted_result, nx.Graph) and self.name not in { + "boykov_kolmogorov", + "preflow_push", + "quotient_graph", + "shortest_augmenting_path", + "spectral_graph_forge", + # We don't handle tempfile.NamedTemporaryFile arguments + "read_gml", + "read_graph6", + "read_sparse6", + # We don't handle io.BufferedReader or io.TextIOWrapper arguments + "bipartite_read_edgelist", + "read_adjlist", + "read_edgelist", + "read_graphml", + "read_multiline_adjlist", + "read_pajek", + "from_pydot", + "pydot_read_dot", + "agraph_read_dot", + # graph comparison fails b/c of nan values + "read_gexf", + }: + # For graph return types (e.g. generators), we compare that results are + # the same between the backend and networkx, then return the original + # networkx result so the iteration order will be consistent in tests. + G = self.orig_func(*args2, **kwargs2) + if not nx.utils.graphs_equal(G, converted_result): + assert G.number_of_nodes() == converted_result.number_of_nodes() + assert G.number_of_edges() == converted_result.number_of_edges() + assert G.graph == converted_result.graph + assert G.nodes == converted_result.nodes + assert G.adj == converted_result.adj + assert type(G) is type(converted_result) + raise AssertionError("Graphs are not equal") + return G + return converted_result + + def _make_doc(self): + """Generate the backends section at the end for functions having an alternate + backend implementation(s) using the `backend_info` entry-point.""" + + if not self.backends: + return self._orig_doc + lines = [ + "Backends", + "--------", + ] + for backend in sorted(self.backends): + info = backend_info[backend] + if "short_summary" in info: + lines.append(f"{backend} : {info['short_summary']}") + else: + lines.append(backend) + if "functions" not in info or self.name not in info["functions"]: + lines.append("") + continue + + func_info = info["functions"][self.name] + + # Renaming extra_docstring to additional_docs + if func_docs := ( + func_info.get("additional_docs") or func_info.get("extra_docstring") + ): + lines.extend( + f" {line}" if line else line for line in func_docs.split("\n") + ) + add_gap = True + else: + add_gap = False + + # Renaming extra_parameters to additional_parameters + if extra_parameters := ( + func_info.get("extra_parameters") + or func_info.get("additional_parameters") + ): + if add_gap: + lines.append("") + lines.append(" Additional parameters:") + for param in sorted(extra_parameters): + lines.append(f" {param}") + if desc := extra_parameters[param]: + lines.append(f" {desc}") + lines.append("") + else: + lines.append("") + + if func_url := func_info.get("url"): + lines.append(f"[`Source <{func_url}>`_]") + lines.append("") + + lines.pop() # Remove last empty line + to_add = "\n ".join(lines) + if not self._orig_doc: + return f"The original docstring for {self.name} was empty.\n\n {to_add}" + return f"{self._orig_doc.rstrip()}\n\n {to_add}" + + def __reduce__(self): + """Allow this object to be serialized with pickle. + + This uses the global registry `_registered_algorithms` to deserialize. + """ + return _restore_dispatchable, (self.name,) + + +def _restore_dispatchable(name): + return _registered_algorithms[name].__wrapped__ + + +def _get_cache_key( + *, + edge_attrs, + node_attrs, + preserve_edge_attrs, + preserve_node_attrs, + preserve_graph_attrs, +): + """Return key used by networkx caching given arguments for ``convert_from_nx``.""" + # edge_attrs: dict | None + # node_attrs: dict | None + # preserve_edge_attrs: bool (False if edge_attrs is not None) + # preserve_node_attrs: bool (False if node_attrs is not None) + return ( + frozenset(edge_attrs.items()) + if edge_attrs is not None + else preserve_edge_attrs, + frozenset(node_attrs.items()) + if node_attrs is not None + else preserve_node_attrs, + ) + + +def _get_from_cache(cache, key, *, backend_name=None, mutations=None): + """Search the networkx cache for a graph that is compatible with ``key``. + + Parameters + ---------- + cache : dict + If ``backend_name`` is given, then this is treated as ``G.__networkx_cache__``, + but if ``backend_name`` is None, then this is treated as the resolved inner + cache such as ``G.__networkx_cache__["backends"][backend_name]``. + key : tuple + Cache key from ``_get_cache_key``. + backend_name : str, optional + Name of the backend to control how ``cache`` is interpreted. + mutations : list, optional + Used internally to clear objects gotten from cache if inputs will be mutated. + + Returns + ------- + tuple or None + The key of the compatible graph found in the cache. + graph or None + A compatible graph or None. + """ + if backend_name is not None: + cache = cache.get("backends", {}).get(backend_name, {}) + if not cache: + return None, None + + # Do a simple search for a cached graph with compatible data. + # For example, if we need a single attribute, then it's okay + # to use a cached graph that preserved all attributes. + # This looks for an exact match first. + edge_key, node_key = key + for compat_key in itertools.product( + (edge_key, True) if edge_key is not True else (True,), + (node_key, True) if node_key is not True else (True,), + ): + if (rv := cache.get(compat_key)) is not None: + if mutations is not None: + # Remove this item from the cache (after all conversions) if + # the call to this dispatchable function will mutate an input. + mutations.append((cache, compat_key)) + return compat_key, rv + if edge_key is not True and node_key is not True: + # Iterate over the items in `cache` to see if any are compatible. + # For example, if no edge attributes are needed, then a graph + # with any edge attribute will suffice. We use the same logic + # below (but switched) to clear unnecessary items from the cache. + # Use `list(cache.items())` to be thread-safe. + for (ekey, nkey), graph in list(cache.items()): + if edge_key is False or ekey is True: + pass # Cache works for edge data! + elif edge_key is True or ekey is False or not edge_key.issubset(ekey): + continue # Cache missing required edge data; does not work + if node_key is False or nkey is True: + pass # Cache works for node data! + elif node_key is True or nkey is False or not node_key.issubset(nkey): + continue # Cache missing required node data; does not work + if mutations is not None: + # Remove this item from the cache (after all conversions) if + # the call to this dispatchable function will mutate an input. + mutations.append((cache, (ekey, nkey))) + return (ekey, nkey), graph + return None, None + + +def _set_to_cache(cache, key, graph, *, backend_name=None): + """Set a backend graph to the cache, and remove unnecessary cached items. + + Parameters + ---------- + cache : dict + If ``backend_name`` is given, then this is treated as ``G.__networkx_cache__``, + but if ``backend_name`` is None, then this is treated as the resolved inner + cache such as ``G.__networkx_cache__["backends"][backend_name]``. + key : tuple + Cache key from ``_get_cache_key``. + graph : graph + backend_name : str, optional + Name of the backend to control how ``cache`` is interpreted. + + Returns + ------- + dict + The items that were removed from the cache. + """ + if backend_name is not None: + cache = cache.setdefault("backends", {}).setdefault(backend_name, {}) + # Remove old cached items that are no longer necessary since they + # are dominated/subsumed/outdated by what was just calculated. + # This uses the same logic as above, but with keys switched. + # Also, don't update the cache here if the call will mutate an input. + removed = {} + edge_key, node_key = key + cache[key] = graph # Set at beginning to be thread-safe + for cur_key in list(cache): + if cur_key == key: + continue + ekey, nkey = cur_key + if ekey is False or edge_key is True: + pass + elif ekey is True or edge_key is False or not ekey.issubset(edge_key): + continue + if nkey is False or node_key is True: + pass + elif nkey is True or node_key is False or not nkey.issubset(node_key): + continue + # Use pop instead of del to try to be thread-safe + if (graph := cache.pop(cur_key, None)) is not None: + removed[cur_key] = graph + return removed + + +class _LazyArgsRepr: + """Simple wrapper to display arguments of dispatchable functions in logging calls.""" + + def __init__(self, func, args, kwargs): + self.func = func + self.args = args + self.kwargs = kwargs + self.value = None + + def __repr__(self): + if self.value is None: + bound = self.func.__signature__.bind_partial(*self.args, **self.kwargs) + inner = ", ".join(f"{key}={val!r}" for key, val in bound.arguments.items()) + self.value = f"({inner})" + return self.value + + +if os.environ.get("_NETWORKX_BUILDING_DOCS_"): + # When building docs with Sphinx, use the original function with the + # dispatched __doc__, b/c Sphinx renders normal Python functions better. + # This doesn't show e.g. `*, backend=None, **backend_kwargs` in the + # signatures, which is probably okay. It does allow the docstring to be + # updated based on the installed backends. + _orig_dispatchable = _dispatchable + + def _dispatchable(func=None, **kwargs): # type: ignore[no-redef] + if func is None: + return partial(_dispatchable, **kwargs) + dispatched_func = _orig_dispatchable(func, **kwargs) + func.__doc__ = dispatched_func.__doc__ + return func + + _dispatchable.__doc__ = _orig_dispatchable.__new__.__doc__ # type: ignore[method-assign,assignment] + _sig = inspect.signature(_orig_dispatchable.__new__) + _dispatchable.__signature__ = _sig.replace( # type: ignore[method-assign,assignment] + parameters=[v for k, v in _sig.parameters.items() if k != "cls"] + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/configs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/configs.py new file mode 100644 index 0000000000000000000000000000000000000000..24c80f88e24ed0751d771920c99d43384ff8e947 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/configs.py @@ -0,0 +1,387 @@ +import collections +import os +import typing +import warnings +from dataclasses import dataclass + +__all__ = ["Config"] + + +@dataclass(init=False, eq=False, slots=True, kw_only=True, match_args=False) +class Config: + """The base class for NetworkX configuration. + + There are two ways to use this to create configurations. The recommended way + is to subclass ``Config`` with docs and annotations. + + >>> class MyConfig(Config): + ... '''Breakfast!''' + ... + ... eggs: int + ... spam: int + ... + ... def _on_setattr(self, key, value): + ... assert isinstance(value, int) and value >= 0 + ... return value + >>> cfg = MyConfig(eggs=1, spam=5) + + Another way is to simply pass the initial configuration as keyword arguments to + the ``Config`` instance: + + >>> cfg1 = Config(eggs=1, spam=5) + >>> cfg1 + Config(eggs=1, spam=5) + + Once defined, config items may be modified, but can't be added or deleted by default. + ``Config`` is a ``Mapping``, and can get and set configs via attributes or brackets: + + >>> cfg.eggs = 2 + >>> cfg.eggs + 2 + >>> cfg["spam"] = 42 + >>> cfg["spam"] + 42 + + For convenience, it can also set configs within a context with the "with" statement: + + >>> with cfg(spam=3): + ... print("spam (in context):", cfg.spam) + spam (in context): 3 + >>> print("spam (after context):", cfg.spam) + spam (after context): 42 + + Subclasses may also define ``_on_setattr`` (as done in the example above) + to ensure the value being assigned is valid: + + >>> cfg.spam = -1 + Traceback (most recent call last): + ... + AssertionError + + If a more flexible configuration object is needed that allows adding and deleting + configurations, then pass ``strict=False`` when defining the subclass: + + >>> class FlexibleConfig(Config, strict=False): + ... default_greeting: str = "Hello" + >>> flexcfg = FlexibleConfig() + >>> flexcfg.name = "Mr. Anderson" + >>> flexcfg + FlexibleConfig(default_greeting='Hello', name='Mr. Anderson') + """ + + def __init_subclass__(cls, strict=True): + cls._strict = strict + + def __new__(cls, **kwargs): + orig_class = cls + if cls is Config: + # Enable the "simple" case of accepting config definition as keywords + cls = type( + cls.__name__, + (cls,), + {"__annotations__": {key: typing.Any for key in kwargs}}, + ) + cls = dataclass( + eq=False, + repr=cls._strict, + slots=cls._strict, + kw_only=True, + match_args=False, + )(cls) + if not cls._strict: + cls.__repr__ = _flexible_repr + cls._orig_class = orig_class # Save original class so we can pickle + cls._prev = None # Stage previous configs to enable use as context manager + cls._context_stack = [] # Stack of previous configs when used as context + instance = object.__new__(cls) + instance.__init__(**kwargs) + return instance + + def _on_setattr(self, key, value): + """Process config value and check whether it is valid. Useful for subclasses.""" + return value + + def _on_delattr(self, key): + """Callback for when a config item is being deleted. Useful for subclasses.""" + + # Control behavior of attributes + def __dir__(self): + return self.__dataclass_fields__.keys() + + def __setattr__(self, key, value): + if self._strict and key not in self.__dataclass_fields__: + raise AttributeError(f"Invalid config name: {key!r}") + value = self._on_setattr(key, value) + object.__setattr__(self, key, value) + self.__class__._prev = None + + def __delattr__(self, key): + if self._strict: + raise TypeError( + f"Configuration items can't be deleted (can't delete {key!r})." + ) + self._on_delattr(key) + object.__delattr__(self, key) + self.__class__._prev = None + + # Be a `collection.abc.Collection` + def __contains__(self, key): + return ( + key in self.__dataclass_fields__ if self._strict else key in self.__dict__ + ) + + def __iter__(self): + return iter(self.__dataclass_fields__ if self._strict else self.__dict__) + + def __len__(self): + return len(self.__dataclass_fields__ if self._strict else self.__dict__) + + def __reversed__(self): + return reversed(self.__dataclass_fields__ if self._strict else self.__dict__) + + # Add dunder methods for `collections.abc.Mapping` + def __getitem__(self, key): + try: + return getattr(self, key) + except AttributeError as err: + raise KeyError(*err.args) from None + + def __setitem__(self, key, value): + try: + self.__setattr__(key, value) + except AttributeError as err: + raise KeyError(*err.args) from None + + def __delitem__(self, key): + try: + self.__delattr__(key) + except AttributeError as err: + raise KeyError(*err.args) from None + + _ipython_key_completions_ = __dir__ # config[" + + # Go ahead and make it a `collections.abc.Mapping` + def get(self, key, default=None): + return getattr(self, key, default) + + def items(self): + return collections.abc.ItemsView(self) + + def keys(self): + return collections.abc.KeysView(self) + + def values(self): + return collections.abc.ValuesView(self) + + # dataclass can define __eq__ for us, but do it here so it works after pickling + def __eq__(self, other): + if not isinstance(other, Config): + return NotImplemented + return self._orig_class == other._orig_class and self.items() == other.items() + + # Make pickle work + def __reduce__(self): + return self._deserialize, (self._orig_class, dict(self)) + + @staticmethod + def _deserialize(cls, kwargs): + return cls(**kwargs) + + # Allow to be used as context manager + def __call__(self, **kwargs): + kwargs = {key: self._on_setattr(key, val) for key, val in kwargs.items()} + prev = dict(self) + for key, val in kwargs.items(): + setattr(self, key, val) + self.__class__._prev = prev + return self + + def __enter__(self): + if self.__class__._prev is None: + raise RuntimeError( + "Config being used as a context manager without config items being set. " + "Set config items via keyword arguments when calling the config object. " + "For example, using config as a context manager should be like:\n\n" + ' >>> with cfg(breakfast="spam"):\n' + " ... ... # Do stuff\n" + ) + self.__class__._context_stack.append(self.__class__._prev) + self.__class__._prev = None + return self + + def __exit__(self, exc_type, exc_value, traceback): + prev = self.__class__._context_stack.pop() + for key, val in prev.items(): + setattr(self, key, val) + + +def _flexible_repr(self): + return ( + f"{self.__class__.__qualname__}(" + + ", ".join(f"{key}={val!r}" for key, val in self.__dict__.items()) + + ")" + ) + + +# Register, b/c `Mapping.__subclasshook__` returns `NotImplemented` +collections.abc.Mapping.register(Config) + + +class BackendPriorities(Config, strict=False): + """Configuration to control automatic conversion to and calling of backends. + + Priority is given to backends listed earlier. + + Parameters + ---------- + algos : list of backend names + This controls "algorithms" such as ``nx.pagerank`` that don't return a graph. + generators : list of backend names + This controls "generators" such as ``nx.from_pandas_edgelist`` that return a graph. + kwargs : variadic keyword arguments of function name to list of backend names + This allows each function to be configured separately and will override the config + in ``algos`` or ``generators`` if present. The dispatchable function name may be + gotten from the ``.name`` attribute such as ``nx.pagerank.name`` (it's typically + the same as the name of the function). + """ + + algos: list[str] + generators: list[str] + + def _on_setattr(self, key, value): + from .backends import _registered_algorithms, backend_info + + if key in {"algos", "generators"}: + pass + elif key not in _registered_algorithms: + raise AttributeError( + f"Invalid config name: {key!r}. Expected 'algos', 'generators', or a name " + "of a dispatchable function (e.g. `.name` attribute of the function)." + ) + if not (isinstance(value, list) and all(isinstance(x, str) for x in value)): + raise TypeError( + f"{key!r} config must be a list of backend names; got {value!r}" + ) + if missing := {x for x in value if x not in backend_info}: + missing = ", ".join(map(repr, sorted(missing))) + raise ValueError(f"Unknown backend when setting {key!r}: {missing}") + return value + + def _on_delattr(self, key): + if key in {"algos", "generators"}: + raise TypeError(f"{key!r} configuration item can't be deleted.") + + +class NetworkXConfig(Config): + """Configuration for NetworkX that controls behaviors such as how to use backends. + + Attribute and bracket notation are supported for getting and setting configurations:: + + >>> nx.config.backend_priority == nx.config["backend_priority"] + True + + Parameters + ---------- + backend_priority : list of backend names or dict or BackendPriorities + Enable automatic conversion of graphs to backend graphs for functions + implemented by the backend. Priority is given to backends listed earlier. + This is a nested configuration with keys ``algos``, ``generators``, and, + optionally, function names. Setting this value to a list of backend names + will set ``nx.config.backend_priority.algos``. For more information, see + ``help(nx.config.backend_priority)``. Default is empty list. + + backends : Config mapping of backend names to backend Config + The keys of the Config mapping are names of all installed NetworkX backends, + and the values are their configurations as Config mappings. + + cache_converted_graphs : bool + If True, then save converted graphs to the cache of the input graph. Graph + conversion may occur when automatically using a backend from `backend_priority` + or when using the `backend=` keyword argument to a function call. Caching can + improve performance by avoiding repeated conversions, but it uses more memory. + Care should be taken to not manually mutate a graph that has cached graphs; for + example, ``G[u][v][k] = val`` changes the graph, but does not clear the cache. + Using methods such as ``G.add_edge(u, v, weight=val)`` will clear the cache to + keep it consistent. ``G.__networkx_cache__.clear()`` manually clears the cache. + Default is True. + + fallback_to_nx : bool + If True, then "fall back" and run with the default "networkx" implementation + for dispatchable functions not implemented by backends of input graphs. When a + backend graph is passed to a dispatchable function, the default behavior is to + use the implementation from that backend if possible and raise if not. Enabling + ``fallback_to_nx`` makes the networkx implementation the fallback to use instead + of raising, and will convert the backend graph to a networkx-compatible graph. + Default is False. + + warnings_to_ignore : set of strings + Control which warnings from NetworkX are not emitted. Valid elements: + + - `"cache"`: when a cached value is used from ``G.__networkx_cache__``. + + Notes + ----- + Environment variables may be used to control some default configurations: + + - ``NETWORKX_BACKEND_PRIORITY``: set ``backend_priority.algos`` from comma-separated names. + - ``NETWORKX_CACHE_CONVERTED_GRAPHS``: set ``cache_converted_graphs`` to True if nonempty. + - ``NETWORKX_FALLBACK_TO_NX``: set ``fallback_to_nx`` to True if nonempty. + - ``NETWORKX_WARNINGS_TO_IGNORE``: set `warnings_to_ignore` from comma-separated names. + + and can be used for finer control of ``backend_priority`` such as: + + - ``NETWORKX_BACKEND_PRIORITY_ALGOS``: same as ``NETWORKX_BACKEND_PRIORITY`` to set ``backend_priority.algos``. + + This is a global configuration. Use with caution when using from multiple threads. + """ + + backend_priority: BackendPriorities + backends: Config + cache_converted_graphs: bool + fallback_to_nx: bool + warnings_to_ignore: set[str] + + def _on_setattr(self, key, value): + from .backends import backend_info + + if key == "backend_priority": + if isinstance(value, list): + getattr(self, key).algos = value + value = getattr(self, key) + elif isinstance(value, dict): + kwargs = value + value = BackendPriorities(algos=[], generators=[]) + for key, val in kwargs.items(): + setattr(value, key, val) + elif not isinstance(value, BackendPriorities): + raise TypeError( + f"{key!r} config must be a dict of lists of backend names; got {value!r}" + ) + elif key == "backends": + if not ( + isinstance(value, Config) + and all(isinstance(key, str) for key in value) + and all(isinstance(val, Config) for val in value.values()) + ): + raise TypeError( + f"{key!r} config must be a Config of backend configs; got {value!r}" + ) + if missing := {x for x in value if x not in backend_info}: + missing = ", ".join(map(repr, sorted(missing))) + raise ValueError(f"Unknown backend when setting {key!r}: {missing}") + elif key in {"cache_converted_graphs", "fallback_to_nx"}: + if not isinstance(value, bool): + raise TypeError(f"{key!r} config must be True or False; got {value!r}") + elif key == "warnings_to_ignore": + if not (isinstance(value, set) and all(isinstance(x, str) for x in value)): + raise TypeError( + f"{key!r} config must be a set of warning names; got {value!r}" + ) + known_warnings = {"cache"} + if missing := {x for x in value if x not in known_warnings}: + missing = ", ".join(map(repr, sorted(missing))) + raise ValueError( + f"Unknown warning when setting {key!r}: {missing}. Valid entries: " + + ", ".join(sorted(known_warnings)) + ) + return value diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/decorators.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/decorators.py new file mode 100644 index 0000000000000000000000000000000000000000..36ae9be29f05f3bc6f0bcdd63c96744a27bb4e33 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/decorators.py @@ -0,0 +1,1237 @@ +import bz2 +import collections +import gzip +import inspect +import itertools +import re +import warnings +from collections import defaultdict +from contextlib import contextmanager +from functools import wraps +from inspect import Parameter, signature +from os.path import splitext +from pathlib import Path + +import networkx as nx +from networkx.utils import create_py_random_state, create_random_state + +__all__ = [ + "not_implemented_for", + "open_file", + "nodes_or_number", + "np_random_state", + "py_random_state", + "argmap", +] + + +def not_implemented_for(*graph_types): + """Decorator to mark algorithms as not implemented + + Parameters + ---------- + graph_types : container of strings + Entries must be one of "directed", "undirected", "multigraph", or "graph". + + Returns + ------- + _require : function + The decorated function. + + Raises + ------ + NetworkXNotImplemented + If any of the packages cannot be imported + + Notes + ----- + Multiple types are joined logically with "and". + For "or" use multiple @not_implemented_for() lines. + + Examples + -------- + Decorate functions like this:: + + @not_implemented_for("directed") + def sp_function(G): + pass + + + # rule out MultiDiGraph + @not_implemented_for("directed", "multigraph") + def sp_np_function(G): + pass + + + # rule out all except DiGraph + @not_implemented_for("undirected") + @not_implemented_for("multigraph") + def sp_np_function(G): + pass + """ + if ("directed" in graph_types) and ("undirected" in graph_types): + raise ValueError("Function not implemented on directed AND undirected graphs?") + if ("multigraph" in graph_types) and ("graph" in graph_types): + raise ValueError("Function not implemented on graph AND multigraphs?") + if not set(graph_types) < {"directed", "undirected", "multigraph", "graph"}: + raise KeyError( + "use one or more of directed, undirected, multigraph, graph. " + f"You used {graph_types}" + ) + + # 3-way logic: True if "directed" input, False if "undirected" input, else None + dval = ("directed" in graph_types) or "undirected" not in graph_types and None + mval = ("multigraph" in graph_types) or "graph" not in graph_types and None + errmsg = f"not implemented for {' '.join(graph_types)} type" + + def _not_implemented_for(g): + if (mval is None or mval == g.is_multigraph()) and ( + dval is None or dval == g.is_directed() + ): + raise nx.NetworkXNotImplemented(errmsg) + + return g + + return argmap(_not_implemented_for, 0) + + +# To handle new extensions, define a function accepting a `path` and `mode`. +# Then add the extension to _dispatch_dict. +fopeners = { + ".gz": gzip.open, + ".gzip": gzip.open, + ".bz2": bz2.BZ2File, +} +_dispatch_dict = defaultdict(lambda: open, **fopeners) + + +def open_file(path_arg, mode="r"): + """Decorator to ensure clean opening and closing of files. + + Parameters + ---------- + path_arg : string or int + Name or index of the argument that is a path. + + mode : str + String for opening mode. + + Returns + ------- + _open_file : function + Function which cleanly executes the io. + + Examples + -------- + Decorate functions like this:: + + @open_file(0, "r") + def read_function(pathname): + pass + + + @open_file(1, "w") + def write_function(G, pathname): + pass + + + @open_file(1, "w") + def write_function(G, pathname="graph.dot"): + pass + + + @open_file("pathname", "w") + def write_function(G, pathname="graph.dot"): + pass + + + @open_file("path", "w+") + def another_function(arg, **kwargs): + path = kwargs["path"] + pass + + Notes + ----- + Note that this decorator solves the problem when a path argument is + specified as a string, but it does not handle the situation when the + function wants to accept a default of None (and then handle it). + + Here is an example of how to handle this case:: + + @open_file("path") + def some_function(arg1, arg2, path=None): + if path is None: + fobj = tempfile.NamedTemporaryFile(delete=False) + else: + # `path` could have been a string or file object or something + # similar. In any event, the decorator has given us a file object + # and it will close it for us, if it should. + fobj = path + + try: + fobj.write("blah") + finally: + if path is None: + fobj.close() + + Normally, we'd want to use "with" to ensure that fobj gets closed. + However, the decorator will make `path` a file object for us, + and using "with" would undesirably close that file object. + Instead, we use a try block, as shown above. + When we exit the function, fobj will be closed, if it should be, by the decorator. + """ + + def _open_file(path): + # Now we have the path_arg. There are two types of input to consider: + # 1) string representing a path that should be opened + # 2) an already opened file object + if isinstance(path, str): + ext = splitext(path)[1] + elif isinstance(path, Path): + # path is a pathlib reference to a filename + ext = path.suffix + path = str(path) + else: + # could be None, or a file handle, in which case the algorithm will deal with it + return path, lambda: None + + fobj = _dispatch_dict[ext](path, mode=mode) + return fobj, lambda: fobj.close() + + return argmap(_open_file, path_arg, try_finally=True) + + +def nodes_or_number(which_args): + """Decorator to allow number of nodes or container of nodes. + + With this decorator, the specified argument can be either a number or a container + of nodes. If it is a number, the nodes used are `range(n)`. + This allows `nx.complete_graph(50)` in place of `nx.complete_graph(list(range(50)))`. + And it also allows `nx.complete_graph(any_list_of_nodes)`. + + Parameters + ---------- + which_args : string or int or sequence of strings or ints + If string, the name of the argument to be treated. + If int, the index of the argument to be treated. + If more than one node argument is allowed, can be a list of locations. + + Returns + ------- + _nodes_or_numbers : function + Function which replaces int args with ranges. + + Examples + -------- + Decorate functions like this:: + + @nodes_or_number("nodes") + def empty_graph(nodes): + # nodes is converted to a list of nodes + + @nodes_or_number(0) + def empty_graph(nodes): + # nodes is converted to a list of nodes + + @nodes_or_number(["m1", "m2"]) + def grid_2d_graph(m1, m2, periodic=False): + # m1 and m2 are each converted to a list of nodes + + @nodes_or_number([0, 1]) + def grid_2d_graph(m1, m2, periodic=False): + # m1 and m2 are each converted to a list of nodes + + @nodes_or_number(1) + def full_rary_tree(r, n) + # presumably r is a number. It is not handled by this decorator. + # n is converted to a list of nodes + """ + + def _nodes_or_number(n): + try: + nodes = list(range(n)) + except TypeError: + nodes = tuple(n) + else: + if n < 0: + raise nx.NetworkXError(f"Negative number of nodes not valid: {n}") + return (n, nodes) + + try: + iter_wa = iter(which_args) + except TypeError: + iter_wa = (which_args,) + + return argmap(_nodes_or_number, *iter_wa) + + +def np_random_state(random_state_argument): + """Decorator to generate a numpy RandomState or Generator instance. + + The decorator processes the argument indicated by `random_state_argument` + using :func:`nx.utils.create_random_state`. + The argument value can be a seed (integer), or a `numpy.random.RandomState` + or `numpy.random.RandomState` instance or (`None` or `numpy.random`). + The latter two options use the global random number generator for `numpy.random`. + + The returned instance is a `numpy.random.RandomState` or `numpy.random.Generator`. + + Parameters + ---------- + random_state_argument : string or int + The name or index of the argument to be converted + to a `numpy.random.RandomState` instance. + + Returns + ------- + _random_state : function + Function whose random_state keyword argument is a RandomState instance. + + Examples + -------- + Decorate functions like this:: + + @np_random_state("seed") + def random_float(seed=None): + return seed.rand() + + + @np_random_state(0) + def random_float(rng=None): + return rng.rand() + + + @np_random_state(1) + def random_array(dims, random_state=1): + return random_state.rand(*dims) + + See Also + -------- + py_random_state + """ + return argmap(create_random_state, random_state_argument) + + +def py_random_state(random_state_argument): + """Decorator to generate a random.Random instance (or equiv). + + This decorator processes `random_state_argument` using + :func:`nx.utils.create_py_random_state`. + The input value can be a seed (integer), or a random number generator:: + + If int, return a random.Random instance set with seed=int. + If random.Random instance, return it. + If None or the `random` package, return the global random number + generator used by `random`. + If np.random package, or the default numpy RandomState instance, + return the default numpy random number generator wrapped in a + `PythonRandomViaNumpyBits` class. + If np.random.Generator instance, return it wrapped in a + `PythonRandomViaNumpyBits` class. + + # Legacy options + If np.random.RandomState instance, return it wrapped in a + `PythonRandomInterface` class. + If a `PythonRandomInterface` instance, return it + + Parameters + ---------- + random_state_argument : string or int + The name of the argument or the index of the argument in args that is + to be converted to the random.Random instance or numpy.random.RandomState + instance that mimics basic methods of random.Random. + + Returns + ------- + _random_state : function + Function whose random_state_argument is converted to a Random instance. + + Examples + -------- + Decorate functions like this:: + + @py_random_state("random_state") + def random_float(random_state=None): + return random_state.rand() + + + @py_random_state(0) + def random_float(rng=None): + return rng.rand() + + + @py_random_state(1) + def random_array(dims, seed=12345): + return seed.rand(*dims) + + See Also + -------- + np_random_state + """ + + return argmap(create_py_random_state, random_state_argument) + + +class argmap: + """A decorator to apply a map to arguments before calling the function + + This class provides a decorator that maps (transforms) arguments of the function + before the function is called. Thus for example, we have similar code + in many functions to determine whether an argument is the number of nodes + to be created, or a list of nodes to be handled. The decorator provides + the code to accept either -- transforming the indicated argument into a + list of nodes before the actual function is called. + + This decorator class allows us to process single or multiple arguments. + The arguments to be processed can be specified by string, naming the argument, + or by index, specifying the item in the args list. + + Parameters + ---------- + func : callable + The function to apply to arguments + + *args : iterable of (int, str or tuple) + A list of parameters, specified either as strings (their names), ints + (numerical indices) or tuples, which may contain ints, strings, and + (recursively) tuples. Each indicates which parameters the decorator + should map. Tuples indicate that the map function takes (and returns) + multiple parameters in the same order and nested structure as indicated + here. + + try_finally : bool (default: False) + When True, wrap the function call in a try-finally block with code + for the finally block created by `func`. This is used when the map + function constructs an object (like a file handle) that requires + post-processing (like closing). + + Note: try_finally decorators cannot be used to decorate generator + functions. + + Examples + -------- + Most of these examples use `@argmap(...)` to apply the decorator to + the function defined on the next line. + In the NetworkX codebase however, `argmap` is used within a function to + construct a decorator. That is, the decorator defines a mapping function + and then uses `argmap` to build and return a decorated function. + A simple example is a decorator that specifies which currency to report money. + The decorator (named `convert_to`) would be used like:: + + @convert_to("US_Dollars", "income") + def show_me_the_money(name, income): + print(f"{name} : {income}") + + And the code to create the decorator might be:: + + def convert_to(currency, which_arg): + def _convert(amount): + if amount.currency != currency: + amount = amount.to_currency(currency) + return amount + + return argmap(_convert, which_arg) + + Despite this common idiom for argmap, most of the following examples + use the `@argmap(...)` idiom to save space. + + Here's an example use of argmap to sum the elements of two of the functions + arguments. The decorated function:: + + @argmap(sum, "xlist", "zlist") + def foo(xlist, y, zlist): + return xlist - y + zlist + + is syntactic sugar for:: + + def foo(xlist, y, zlist): + x = sum(xlist) + z = sum(zlist) + return x - y + z + + and is equivalent to (using argument indexes):: + + @argmap(sum, "xlist", 2) + def foo(xlist, y, zlist): + return xlist - y + zlist + + or:: + + @argmap(sum, "zlist", 0) + def foo(xlist, y, zlist): + return xlist - y + zlist + + Transforming functions can be applied to multiple arguments, such as:: + + def swap(x, y): + return y, x + + # the 2-tuple tells argmap that the map `swap` has 2 inputs/outputs. + @argmap(swap, ("a", "b")): + def foo(a, b, c): + return a / b * c + + is equivalent to:: + + def foo(a, b, c): + a, b = swap(a, b) + return a / b * c + + More generally, the applied arguments can be nested tuples of strings or ints. + The syntax `@argmap(some_func, ("a", ("b", "c")))` would expect `some_func` to + accept 2 inputs with the second expected to be a 2-tuple. It should then return + 2 outputs with the second a 2-tuple. The returns values would replace input "a" + "b" and "c" respectively. Similarly for `@argmap(some_func, (0, ("b", 2)))`. + + Also, note that an index larger than the number of named parameters is allowed + for variadic functions. For example:: + + def double(a): + return 2 * a + + + @argmap(double, 3) + def overflow(a, *args): + return a, args + + + print(overflow(1, 2, 3, 4, 5, 6)) # output is 1, (2, 3, 8, 5, 6) + + **Try Finally** + + Additionally, this `argmap` class can be used to create a decorator that + initiates a try...finally block. The decorator must be written to return + both the transformed argument and a closing function. + This feature was included to enable the `open_file` decorator which might + need to close the file or not depending on whether it had to open that file. + This feature uses the keyword-only `try_finally` argument to `@argmap`. + + For example this map opens a file and then makes sure it is closed:: + + def open_file(fn): + f = open(fn) + return f, lambda: f.close() + + The decorator applies that to the function `foo`:: + + @argmap(open_file, "file", try_finally=True) + def foo(file): + print(file.read()) + + is syntactic sugar for:: + + def foo(file): + file, close_file = open_file(file) + try: + print(file.read()) + finally: + close_file() + + and is equivalent to (using indexes):: + + @argmap(open_file, 0, try_finally=True) + def foo(file): + print(file.read()) + + Here's an example of the try_finally feature used to create a decorator:: + + def my_closing_decorator(which_arg): + def _opener(path): + if path is None: + path = open(path) + fclose = path.close + else: + # assume `path` handles the closing + fclose = lambda: None + return path, fclose + + return argmap(_opener, which_arg, try_finally=True) + + which can then be used as:: + + @my_closing_decorator("file") + def fancy_reader(file=None): + # this code doesn't need to worry about closing the file + print(file.read()) + + Decorators with try_finally = True cannot be used with generator functions, + because the `finally` block is evaluated before the generator is exhausted:: + + @argmap(open_file, "file", try_finally=True) + def file_to_lines(file): + for line in file.readlines(): + yield line + + is equivalent to:: + + def file_to_lines_wrapped(file): + for line in file.readlines(): + yield line + + + def file_to_lines_wrapper(file): + try: + file = open_file(file) + return file_to_lines_wrapped(file) + finally: + file.close() + + which behaves similarly to:: + + def file_to_lines_whoops(file): + file = open_file(file) + file.close() + for line in file.readlines(): + yield line + + because the `finally` block of `file_to_lines_wrapper` is executed before + the caller has a chance to exhaust the iterator. + + Notes + ----- + An object of this class is callable and intended to be used when + defining a decorator. Generally, a decorator takes a function as input + and constructs a function as output. Specifically, an `argmap` object + returns the input function decorated/wrapped so that specified arguments + are mapped (transformed) to new values before the decorated function is called. + + As an overview, the argmap object returns a new function with all the + dunder values of the original function (like `__doc__`, `__name__`, etc). + Code for this decorated function is built based on the original function's + signature. It starts by mapping the input arguments to potentially new + values. Then it calls the decorated function with these new values in place + of the indicated arguments that have been mapped. The return value of the + original function is then returned. This new function is the function that + is actually called by the user. + + Three additional features are provided. + 1) The code is lazily compiled. That is, the new function is returned + as an object without the code compiled, but with all information + needed so it can be compiled upon it's first invocation. This saves + time on import at the cost of additional time on the first call of + the function. Subsequent calls are then just as fast as normal. + + 2) If the "try_finally" keyword-only argument is True, a try block + follows each mapped argument, matched on the other side of the wrapped + call, by a finally block closing that mapping. We expect func to return + a 2-tuple: the mapped value and a function to be called in the finally + clause. This feature was included so the `open_file` decorator could + provide a file handle to the decorated function and close the file handle + after the function call. It even keeps track of whether to close the file + handle or not based on whether it had to open the file or the input was + already open. So, the decorated function does not need to include any + code to open or close files. + + 3) The maps applied can process multiple arguments. For example, + you could swap two arguments using a mapping, or transform + them to their sum and their difference. This was included to allow + a decorator in the `quality.py` module that checks that an input + `partition` is a valid partition of the nodes of the input graph `G`. + In this example, the map has inputs `(G, partition)`. After checking + for a valid partition, the map either raises an exception or leaves + the inputs unchanged. Thus many functions that make this check can + use the decorator rather than copy the checking code into each function. + More complicated nested argument structures are described below. + + The remaining notes describe the code structure and methods for this + class in broad terms to aid in understanding how to use it. + + Instantiating an `argmap` object simply stores the mapping function and + the input identifiers of which arguments to map. The resulting decorator + is ready to use this map to decorate any function. Calling that object + (`argmap.__call__`, but usually done via `@my_decorator`) a lazily + compiled thin wrapper of the decorated function is constructed, + wrapped with the necessary function dunder attributes like `__doc__` + and `__name__`. That thinly wrapped function is returned as the + decorated function. When that decorated function is called, the thin + wrapper of code calls `argmap._lazy_compile` which compiles the decorated + function (using `argmap.compile`) and replaces the code of the thin + wrapper with the newly compiled code. This saves the compilation step + every import of networkx, at the cost of compiling upon the first call + to the decorated function. + + When the decorated function is compiled, the code is recursively assembled + using the `argmap.assemble` method. The recursive nature is needed in + case of nested decorators. The result of the assembly is a number of + useful objects. + + sig : the function signature of the original decorated function as + constructed by :func:`argmap.signature`. This is constructed + using `inspect.signature` but enhanced with attribute + strings `sig_def` and `sig_call`, and other information + specific to mapping arguments of this function. + This information is used to construct a string of code defining + the new decorated function. + + wrapped_name : a unique internally used name constructed by argmap + for the decorated function. + + functions : a dict of the functions used inside the code of this + decorated function, to be used as `globals` in `exec`. + This dict is recursively updated to allow for nested decorating. + + mapblock : code (as a list of strings) to map the incoming argument + values to their mapped values. + + finallys : code (as a list of strings) to provide the possibly nested + set of finally clauses if needed. + + mutable_args : a bool indicating whether the `sig.args` tuple should be + converted to a list so mutation can occur. + + After this recursive assembly process, the `argmap.compile` method + constructs code (as strings) to convert the tuple `sig.args` to a list + if needed. It joins the defining code with appropriate indents and + compiles the result. Finally, this code is evaluated and the original + wrapper's implementation is replaced with the compiled version (see + `argmap._lazy_compile` for more details). + + Other `argmap` methods include `_name` and `_count` which allow internally + generated names to be unique within a python session. + The methods `_flatten` and `_indent` process the nested lists of strings + into properly indented python code ready to be compiled. + + More complicated nested tuples of arguments also allowed though + usually not used. For the simple 2 argument case, the argmap + input ("a", "b") implies the mapping function will take 2 arguments + and return a 2-tuple of mapped values. A more complicated example + with argmap input `("a", ("b", "c"))` requires the mapping function + take 2 inputs, with the second being a 2-tuple. It then must output + the 3 mapped values in the same nested structure `(newa, (newb, newc))`. + This level of generality is not often needed, but was convenient + to implement when handling the multiple arguments. + + See Also + -------- + not_implemented_for + open_file + nodes_or_number + py_random_state + networkx.algorithms.community.quality.require_partition + + """ + + def __init__(self, func, *args, try_finally=False): + self._func = func + self._args = args + self._finally = try_finally + + @staticmethod + def _lazy_compile(func): + """Compile the source of a wrapped function + + Assemble and compile the decorated function, and intrusively replace its + code with the compiled version's. The thinly wrapped function becomes + the decorated function. + + Parameters + ---------- + func : callable + A function returned by argmap.__call__ which is in the process + of being called for the first time. + + Returns + ------- + func : callable + The same function, with a new __code__ object. + + Notes + ----- + It was observed in NetworkX issue #4732 [1] that the import time of + NetworkX was significantly bloated by the use of decorators: over half + of the import time was being spent decorating functions. This was + somewhat improved by a change made to the `decorator` library, at the + cost of a relatively heavy-weight call to `inspect.Signature.bind` + for each call to the decorated function. + + The workaround we arrived at is to do minimal work at the time of + decoration. When the decorated function is called for the first time, + we compile a function with the same function signature as the wrapped + function. The resulting decorated function is faster than one made by + the `decorator` library, so that the overhead of the first call is + 'paid off' after a small number of calls. + + References + ---------- + + [1] https://github.com/networkx/networkx/issues/4732 + + """ + real_func = func.__argmap__.compile(func.__wrapped__) + func.__code__ = real_func.__code__ + func.__globals__.update(real_func.__globals__) + func.__dict__.update(real_func.__dict__) + return func + + def __call__(self, f): + """Construct a lazily decorated wrapper of f. + + The decorated function will be compiled when it is called for the first time, + and it will replace its own __code__ object so subsequent calls are fast. + + Parameters + ---------- + f : callable + A function to be decorated. + + Returns + ------- + func : callable + The decorated function. + + See Also + -------- + argmap._lazy_compile + """ + + def func(*args, __wrapper=None, **kwargs): + return argmap._lazy_compile(__wrapper)(*args, **kwargs) + + # standard function-wrapping stuff + func.__name__ = f.__name__ + func.__doc__ = f.__doc__ + func.__defaults__ = f.__defaults__ + func.__kwdefaults__.update(f.__kwdefaults__ or {}) + func.__module__ = f.__module__ + func.__qualname__ = f.__qualname__ + func.__dict__.update(f.__dict__) + func.__wrapped__ = f + + # now that we've wrapped f, we may have picked up some __dict__ or + # __kwdefaults__ items that were set by a previous argmap. Thus, we set + # these values after those update() calls. + + # If we attempt to access func from within itself, that happens through + # a closure -- which trips an error when we replace func.__code__. The + # standard workaround for functions which can't see themselves is to use + # a Y-combinator, as we do here. + func.__kwdefaults__["_argmap__wrapper"] = func + + # this self-reference is here because functools.wraps preserves + # everything in __dict__, and we don't want to mistake a non-argmap + # wrapper for an argmap wrapper + func.__self__ = func + + # this is used to variously call self.assemble and self.compile + func.__argmap__ = self + + if hasattr(f, "__argmap__"): + func.__is_generator = f.__is_generator + else: + func.__is_generator = inspect.isgeneratorfunction(f) + + if self._finally and func.__is_generator: + raise nx.NetworkXError("argmap cannot decorate generators with try_finally") + + return func + + __count = 0 + + @classmethod + def _count(cls): + """Maintain a globally-unique identifier for function names and "file" names + + Note that this counter is a class method reporting a class variable + so the count is unique within a Python session. It could differ from + session to session for a specific decorator depending on the order + that the decorators are created. But that doesn't disrupt `argmap`. + + This is used in two places: to construct unique variable names + in the `_name` method and to construct unique fictitious filenames + in the `_compile` method. + + Returns + ------- + count : int + An integer unique to this Python session (simply counts from zero) + """ + cls.__count += 1 + return cls.__count + + _bad_chars = re.compile("[^a-zA-Z0-9_]") + + @classmethod + def _name(cls, f): + """Mangle the name of a function to be unique but somewhat human-readable + + The names are unique within a Python session and set using `_count`. + + Parameters + ---------- + f : str or object + + Returns + ------- + name : str + The mangled version of `f.__name__` (if `f.__name__` exists) or `f` + + """ + f = f.__name__ if hasattr(f, "__name__") else f + fname = re.sub(cls._bad_chars, "_", f) + return f"argmap_{fname}_{cls._count()}" + + def compile(self, f): + """Compile the decorated function. + + Called once for a given decorated function -- collects the code from all + argmap decorators in the stack, and compiles the decorated function. + + Much of the work done here uses the `assemble` method to allow recursive + treatment of multiple argmap decorators on a single decorated function. + That flattens the argmap decorators, collects the source code to construct + a single decorated function, then compiles/executes/returns that function. + + The source code for the decorated function is stored as an attribute + `_code` on the function object itself. + + Note that Python's `compile` function requires a filename, but this + code is constructed without a file, so a fictitious filename is used + to describe where the function comes from. The name is something like: + "argmap compilation 4". + + Parameters + ---------- + f : callable + The function to be decorated + + Returns + ------- + func : callable + The decorated file + + """ + sig, wrapped_name, functions, mapblock, finallys, mutable_args = self.assemble( + f + ) + + call = f"{sig.call_sig.format(wrapped_name)}#" + mut_args = f"{sig.args} = list({sig.args})" if mutable_args else "" + body = argmap._indent(sig.def_sig, mut_args, mapblock, call, finallys) + code = "\n".join(body) + + locl = {} + globl = dict(functions.values()) + filename = f"{self.__class__} compilation {self._count()}" + compiled = compile(code, filename, "exec") + exec(compiled, globl, locl) + func = locl[sig.name] + func._code = code + return func + + def assemble(self, f): + """Collects components of the source for the decorated function wrapping f. + + If `f` has multiple argmap decorators, we recursively assemble the stack of + decorators into a single flattened function. + + This method is part of the `compile` method's process yet separated + from that method to allow recursive processing. The outputs are + strings, dictionaries and lists that collect needed info to + flatten any nested argmap-decoration. + + Parameters + ---------- + f : callable + The function to be decorated. If f is argmapped, we assemble it. + + Returns + ------- + sig : argmap.Signature + The function signature as an `argmap.Signature` object. + wrapped_name : str + The mangled name used to represent the wrapped function in the code + being assembled. + functions : dict + A dictionary mapping id(g) -> (mangled_name(g), g) for functions g + referred to in the code being assembled. These need to be present + in the ``globals`` scope of ``exec`` when defining the decorated + function. + mapblock : list of lists and/or strings + Code that implements mapping of parameters including any try blocks + if needed. This code will precede the decorated function call. + finallys : list of lists and/or strings + Code that implements the finally blocks to post-process the + arguments (usually close any files if needed) after the + decorated function is called. + mutable_args : bool + True if the decorator needs to modify positional arguments + via their indices. The compile method then turns the argument + tuple into a list so that the arguments can be modified. + """ + + # first, we check if f is already argmapped -- if that's the case, + # build up the function recursively. + # > mapblock is generally a list of function calls of the sort + # arg = func(arg) + # in addition to some try-blocks if needed. + # > finallys is a recursive list of finally blocks of the sort + # finally: + # close_func_1() + # finally: + # close_func_2() + # > functions is a dict of functions used in the scope of our decorated + # function. It will be used to construct globals used in compilation. + # We make functions[id(f)] = name_of_f, f to ensure that a given + # function is stored and named exactly once even if called by + # nested decorators. + if hasattr(f, "__argmap__") and f.__self__ is f: + ( + sig, + wrapped_name, + functions, + mapblock, + finallys, + mutable_args, + ) = f.__argmap__.assemble(f.__wrapped__) + functions = dict(functions) # shallow-copy just in case + else: + sig = self.signature(f) + wrapped_name = self._name(f) + mapblock, finallys = [], [] + functions = {id(f): (wrapped_name, f)} + mutable_args = False + + if id(self._func) in functions: + fname, _ = functions[id(self._func)] + else: + fname, _ = functions[id(self._func)] = self._name(self._func), self._func + + # this is a bit complicated -- we can call functions with a variety of + # nested arguments, so long as their input and output are tuples with + # the same nested structure. e.g. ("a", "b") maps arguments a and b. + # A more complicated nesting like (0, (3, 4)) maps arguments 0, 3, 4 + # expecting the mapping to output new values in the same nested shape. + # The ability to argmap multiple arguments was necessary for + # the decorator `nx.algorithms.community.quality.require_partition`, and + # while we're not taking full advantage of the ability to handle + # multiply-nested tuples, it was convenient to implement this in + # generality because the recursive call to `get_name` is necessary in + # any case. + applied = set() + + def get_name(arg, first=True): + nonlocal mutable_args + if isinstance(arg, tuple): + name = ", ".join(get_name(x, False) for x in arg) + return name if first else f"({name})" + if arg in applied: + raise nx.NetworkXError(f"argument {arg} is specified multiple times") + applied.add(arg) + if arg in sig.names: + return sig.names[arg] + elif isinstance(arg, str): + if sig.kwargs is None: + raise nx.NetworkXError( + f"name {arg} is not a named parameter and this function doesn't have kwargs" + ) + return f"{sig.kwargs}[{arg!r}]" + else: + if sig.args is None: + raise nx.NetworkXError( + f"index {arg} not a parameter index and this function doesn't have args" + ) + mutable_args = True + return f"{sig.args}[{arg - sig.n_positional}]" + + if self._finally: + # here's where we handle try_finally decorators. Such a decorator + # returns a mapped argument and a function to be called in a + # finally block. This feature was required by the open_file + # decorator. The below generates the code + # + # name, final = func(name) #<--append to mapblock + # try: #<--append to mapblock + # ... more argmapping and try blocks + # return WRAPPED_FUNCTION(...) + # ... more finally blocks + # finally: #<--prepend to finallys + # final() #<--prepend to finallys + # + for a in self._args: + name = get_name(a) + final = self._name(name) + mapblock.append(f"{name}, {final} = {fname}({name})") + mapblock.append("try:") + finallys = ["finally:", f"{final}()#", "#", finallys] + else: + mapblock.extend( + f"{name} = {fname}({name})" for name in map(get_name, self._args) + ) + + return sig, wrapped_name, functions, mapblock, finallys, mutable_args + + @classmethod + def signature(cls, f): + r"""Construct a Signature object describing `f` + + Compute a Signature so that we can write a function wrapping f with + the same signature and call-type. + + Parameters + ---------- + f : callable + A function to be decorated + + Returns + ------- + sig : argmap.Signature + The Signature of f + + Notes + ----- + The Signature is a namedtuple with names: + + name : a unique version of the name of the decorated function + signature : the inspect.signature of the decorated function + def_sig : a string used as code to define the new function + call_sig : a string used as code to call the decorated function + names : a dict keyed by argument name and index to the argument's name + n_positional : the number of positional arguments in the signature + args : the name of the VAR_POSITIONAL argument if any, i.e. \*theseargs + kwargs : the name of the VAR_KEYWORDS argument if any, i.e. \*\*kwargs + + These named attributes of the signature are used in `assemble` and `compile` + to construct a string of source code for the decorated function. + + """ + sig = inspect.signature(f, follow_wrapped=False) + def_sig = [] + call_sig = [] + names = {} + + kind = None + args = None + kwargs = None + npos = 0 + for i, param in enumerate(sig.parameters.values()): + # parameters can be position-only, keyword-or-position, keyword-only + # in any combination, but only in the order as above. we do edge + # detection to add the appropriate punctuation + prev = kind + kind = param.kind + if prev == param.POSITIONAL_ONLY != kind: + # the last token was position-only, but this one isn't + def_sig.append("/") + if ( + param.VAR_POSITIONAL + != prev + != param.KEYWORD_ONLY + == kind + != param.VAR_POSITIONAL + ): + # param is the first keyword-only arg and isn't starred + def_sig.append("*") + + # star arguments as appropriate + if kind == param.VAR_POSITIONAL: + name = "*" + param.name + args = param.name + count = 0 + elif kind == param.VAR_KEYWORD: + name = "**" + param.name + kwargs = param.name + count = 0 + else: + names[i] = names[param.name] = param.name + name = param.name + count = 1 + + # assign to keyword-only args in the function call + if kind == param.KEYWORD_ONLY: + call_sig.append(f"{name} = {name}") + else: + npos += count + call_sig.append(name) + + def_sig.append(name) + + fname = cls._name(f) + def_sig = f'def {fname}({", ".join(def_sig)}):' + + call_sig = f"return {{}}({', '.join(call_sig)})" + + return cls.Signature(fname, sig, def_sig, call_sig, names, npos, args, kwargs) + + Signature = collections.namedtuple( + "Signature", + [ + "name", + "signature", + "def_sig", + "call_sig", + "names", + "n_positional", + "args", + "kwargs", + ], + ) + + @staticmethod + def _flatten(nestlist, visited): + """flattens a recursive list of lists that doesn't have cyclic references + + Parameters + ---------- + nestlist : iterable + A recursive list of objects to be flattened into a single iterable + + visited : set + A set of object ids which have been walked -- initialize with an + empty set + + Yields + ------ + Non-list objects contained in nestlist + + """ + for thing in nestlist: + if isinstance(thing, list): + if id(thing) in visited: + raise ValueError("A cycle was found in nestlist. Be a tree.") + else: + visited.add(id(thing)) + yield from argmap._flatten(thing, visited) + else: + yield thing + + _tabs = " " * 64 + + @staticmethod + def _indent(*lines): + """Indent list of code lines to make executable Python code + + Indents a tree-recursive list of strings, following the rule that one + space is added to the tab after a line that ends in a colon, and one is + removed after a line that ends in an hashmark. + + Parameters + ---------- + *lines : lists and/or strings + A recursive list of strings to be assembled into properly indented + code. + + Returns + ------- + code : str + + Examples + -------- + + argmap._indent(*["try:", "try:", "pass#", "finally:", "pass#", "#", + "finally:", "pass#"]) + + renders to + + '''try: + try: + pass# + finally: + pass# + # + finally: + pass#''' + """ + depth = 0 + for line in argmap._flatten(lines, set()): + yield f"{argmap._tabs[:depth]}{line}" + depth += (line[-1:] == ":") - (line[-1:] == "#") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/heaps.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/heaps.py new file mode 100644 index 0000000000000000000000000000000000000000..3db27906314924380a8a87f2dfd3a81292ffbb9f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/heaps.py @@ -0,0 +1,340 @@ +""" +Min-heaps. +""" + +from heapq import heappop, heappush +from itertools import count + +import networkx as nx + +__all__ = ["MinHeap", "PairingHeap", "BinaryHeap"] + + +class MinHeap: + """Base class for min-heaps. + + A MinHeap stores a collection of key-value pairs ordered by their values. + It supports querying the minimum pair, inserting a new pair, decreasing the + value in an existing pair and deleting the minimum pair. + """ + + class _Item: + """Used by subclassess to represent a key-value pair.""" + + __slots__ = ("key", "value") + + def __init__(self, key, value): + self.key = key + self.value = value + + def __repr__(self): + return repr((self.key, self.value)) + + def __init__(self): + """Initialize a new min-heap.""" + self._dict = {} + + def min(self): + """Query the minimum key-value pair. + + Returns + ------- + key, value : tuple + The key-value pair with the minimum value in the heap. + + Raises + ------ + NetworkXError + If the heap is empty. + """ + raise NotImplementedError + + def pop(self): + """Delete the minimum pair in the heap. + + Returns + ------- + key, value : tuple + The key-value pair with the minimum value in the heap. + + Raises + ------ + NetworkXError + If the heap is empty. + """ + raise NotImplementedError + + def get(self, key, default=None): + """Returns the value associated with a key. + + Parameters + ---------- + key : hashable object + The key to be looked up. + + default : object + Default value to return if the key is not present in the heap. + Default value: None. + + Returns + ------- + value : object. + The value associated with the key. + """ + raise NotImplementedError + + def insert(self, key, value, allow_increase=False): + """Insert a new key-value pair or modify the value in an existing + pair. + + Parameters + ---------- + key : hashable object + The key. + + value : object comparable with existing values. + The value. + + allow_increase : bool + Whether the value is allowed to increase. If False, attempts to + increase an existing value have no effect. Default value: False. + + Returns + ------- + decreased : bool + True if a pair is inserted or the existing value is decreased. + """ + raise NotImplementedError + + def __nonzero__(self): + """Returns whether the heap if empty.""" + return bool(self._dict) + + def __bool__(self): + """Returns whether the heap if empty.""" + return bool(self._dict) + + def __len__(self): + """Returns the number of key-value pairs in the heap.""" + return len(self._dict) + + def __contains__(self, key): + """Returns whether a key exists in the heap. + + Parameters + ---------- + key : any hashable object. + The key to be looked up. + """ + return key in self._dict + + +class PairingHeap(MinHeap): + """A pairing heap.""" + + class _Node(MinHeap._Item): + """A node in a pairing heap. + + A tree in a pairing heap is stored using the left-child, right-sibling + representation. + """ + + __slots__ = ("left", "next", "prev", "parent") + + def __init__(self, key, value): + super().__init__(key, value) + # The leftmost child. + self.left = None + # The next sibling. + self.next = None + # The previous sibling. + self.prev = None + # The parent. + self.parent = None + + def __init__(self): + """Initialize a pairing heap.""" + super().__init__() + self._root = None + + def min(self): + if self._root is None: + raise nx.NetworkXError("heap is empty.") + return (self._root.key, self._root.value) + + def pop(self): + if self._root is None: + raise nx.NetworkXError("heap is empty.") + min_node = self._root + self._root = self._merge_children(self._root) + del self._dict[min_node.key] + return (min_node.key, min_node.value) + + def get(self, key, default=None): + node = self._dict.get(key) + return node.value if node is not None else default + + def insert(self, key, value, allow_increase=False): + node = self._dict.get(key) + root = self._root + if node is not None: + if value < node.value: + node.value = value + if node is not root and value < node.parent.value: + self._cut(node) + self._root = self._link(root, node) + return True + elif allow_increase and value > node.value: + node.value = value + child = self._merge_children(node) + # Nonstandard step: Link the merged subtree with the root. See + # below for the standard step. + if child is not None: + self._root = self._link(self._root, child) + # Standard step: Perform a decrease followed by a pop as if the + # value were the smallest in the heap. Then insert the new + # value into the heap. + # if node is not root: + # self._cut(node) + # if child is not None: + # root = self._link(root, child) + # self._root = self._link(root, node) + # else: + # self._root = (self._link(node, child) + # if child is not None else node) + return False + else: + # Insert a new key. + node = self._Node(key, value) + self._dict[key] = node + self._root = self._link(root, node) if root is not None else node + return True + + def _link(self, root, other): + """Link two nodes, making the one with the smaller value the parent of + the other. + """ + if other.value < root.value: + root, other = other, root + next = root.left + other.next = next + if next is not None: + next.prev = other + other.prev = None + root.left = other + other.parent = root + return root + + def _merge_children(self, root): + """Merge the subtrees of the root using the standard two-pass method. + The resulting subtree is detached from the root. + """ + node = root.left + root.left = None + if node is not None: + link = self._link + # Pass 1: Merge pairs of consecutive subtrees from left to right. + # At the end of the pass, only the prev pointers of the resulting + # subtrees have meaningful values. The other pointers will be fixed + # in pass 2. + prev = None + while True: + next = node.next + if next is None: + node.prev = prev + break + next_next = next.next + node = link(node, next) + node.prev = prev + prev = node + if next_next is None: + break + node = next_next + # Pass 2: Successively merge the subtrees produced by pass 1 from + # right to left with the rightmost one. + prev = node.prev + while prev is not None: + prev_prev = prev.prev + node = link(prev, node) + prev = prev_prev + # Now node can become the new root. Its has no parent nor siblings. + node.prev = None + node.next = None + node.parent = None + return node + + def _cut(self, node): + """Cut a node from its parent.""" + prev = node.prev + next = node.next + if prev is not None: + prev.next = next + else: + node.parent.left = next + node.prev = None + if next is not None: + next.prev = prev + node.next = None + node.parent = None + + +class BinaryHeap(MinHeap): + """A binary heap.""" + + def __init__(self): + """Initialize a binary heap.""" + super().__init__() + self._heap = [] + self._count = count() + + def min(self): + dict = self._dict + if not dict: + raise nx.NetworkXError("heap is empty") + heap = self._heap + pop = heappop + # Repeatedly remove stale key-value pairs until a up-to-date one is + # met. + while True: + value, _, key = heap[0] + if key in dict and value == dict[key]: + break + pop(heap) + return (key, value) + + def pop(self): + dict = self._dict + if not dict: + raise nx.NetworkXError("heap is empty") + heap = self._heap + pop = heappop + # Repeatedly remove stale key-value pairs until a up-to-date one is + # met. + while True: + value, _, key = heap[0] + pop(heap) + if key in dict and value == dict[key]: + break + del dict[key] + return (key, value) + + def get(self, key, default=None): + return self._dict.get(key, default) + + def insert(self, key, value, allow_increase=False): + dict = self._dict + if key in dict: + old_value = dict[key] + if value < old_value or (allow_increase and value > old_value): + # Since there is no way to efficiently obtain the location of a + # key-value pair in the heap, insert a new pair even if ones + # with the same key may already be present. Deem the old ones + # as stale and skip them when the minimum pair is queried. + dict[key] = value + heappush(self._heap, (value, next(self._count), key)) + return value < old_value + return False + else: + dict[key] = value + heappush(self._heap, (value, next(self._count), key)) + return True diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/mapped_queue.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/mapped_queue.py new file mode 100644 index 0000000000000000000000000000000000000000..0dcea368a93873fd72195fc8d388891c129942e0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/mapped_queue.py @@ -0,0 +1,297 @@ +"""Priority queue class with updatable priorities.""" + +import heapq + +__all__ = ["MappedQueue"] + + +class _HeapElement: + """This proxy class separates the heap element from its priority. + + The idea is that using a 2-tuple (priority, element) works + for sorting, but not for dict lookup because priorities are + often floating point values so round-off can mess up equality. + + So, we need inequalities to look at the priority (for sorting) + and equality (and hash) to look at the element to enable + updates to the priority. + + Unfortunately, this class can be tricky to work with if you forget that + `__lt__` compares the priority while `__eq__` compares the element. + In `greedy_modularity_communities()` the following code is + used to check that two _HeapElements differ in either element or priority: + + if d_oldmax != row_max or d_oldmax.priority != row_max.priority: + + If the priorities are the same, this implementation uses the element + as a tiebreaker. This provides compatibility with older systems that + use tuples to combine priority and elements. + """ + + __slots__ = ["priority", "element", "_hash"] + + def __init__(self, priority, element): + self.priority = priority + self.element = element + self._hash = hash(element) + + def __lt__(self, other): + try: + other_priority = other.priority + except AttributeError: + return self.priority < other + # assume comparing to another _HeapElement + if self.priority == other_priority: + try: + return self.element < other.element + except TypeError as err: + raise TypeError( + "Consider using a tuple, with a priority value that can be compared." + ) + return self.priority < other_priority + + def __gt__(self, other): + try: + other_priority = other.priority + except AttributeError: + return self.priority > other + # assume comparing to another _HeapElement + if self.priority == other_priority: + try: + return self.element > other.element + except TypeError as err: + raise TypeError( + "Consider using a tuple, with a priority value that can be compared." + ) + return self.priority > other_priority + + def __eq__(self, other): + try: + return self.element == other.element + except AttributeError: + return self.element == other + + def __hash__(self): + return self._hash + + def __getitem__(self, indx): + return self.priority if indx == 0 else self.element[indx - 1] + + def __iter__(self): + yield self.priority + try: + yield from self.element + except TypeError: + yield self.element + + def __repr__(self): + return f"_HeapElement({self.priority}, {self.element})" + + +class MappedQueue: + """The MappedQueue class implements a min-heap with removal and update-priority. + + The min heap uses heapq as well as custom written _siftup and _siftdown + methods to allow the heap positions to be tracked by an additional dict + keyed by element to position. The smallest element can be popped in O(1) time, + new elements can be pushed in O(log n) time, and any element can be removed + or updated in O(log n) time. The queue cannot contain duplicate elements + and an attempt to push an element already in the queue will have no effect. + + MappedQueue complements the heapq package from the python standard + library. While MappedQueue is designed for maximum compatibility with + heapq, it adds element removal, lookup, and priority update. + + Parameters + ---------- + data : dict or iterable + + Examples + -------- + + A `MappedQueue` can be created empty, or optionally, given a dictionary + of initial elements and priorities. The methods `push`, `pop`, + `remove`, and `update` operate on the queue. + + >>> colors_nm = {"red": 665, "blue": 470, "green": 550} + >>> q = MappedQueue(colors_nm) + >>> q.remove("red") + >>> q.update("green", "violet", 400) + >>> q.push("indigo", 425) + True + >>> [q.pop().element for i in range(len(q.heap))] + ['violet', 'indigo', 'blue'] + + A `MappedQueue` can also be initialized with a list or other iterable. The priority is assumed + to be the sort order of the items in the list. + + >>> q = MappedQueue([916, 50, 4609, 493, 237]) + >>> q.remove(493) + >>> q.update(237, 1117) + >>> [q.pop() for i in range(len(q.heap))] + [50, 916, 1117, 4609] + + An exception is raised if the elements are not comparable. + + >>> q = MappedQueue([100, "a"]) + Traceback (most recent call last): + ... + TypeError: '<' not supported between instances of 'int' and 'str' + + To avoid the exception, use a dictionary to assign priorities to the elements. + + >>> q = MappedQueue({100: 0, "a": 1}) + + References + ---------- + .. [1] Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. (2001). + Introduction to algorithms second edition. + .. [2] Knuth, D. E. (1997). The art of computer programming (Vol. 3). + Pearson Education. + """ + + def __init__(self, data=None): + """Priority queue class with updatable priorities.""" + if data is None: + self.heap = [] + elif isinstance(data, dict): + self.heap = [_HeapElement(v, k) for k, v in data.items()] + else: + self.heap = list(data) + self.position = {} + self._heapify() + + def _heapify(self): + """Restore heap invariant and recalculate map.""" + heapq.heapify(self.heap) + self.position = {elt: pos for pos, elt in enumerate(self.heap)} + if len(self.heap) != len(self.position): + raise AssertionError("Heap contains duplicate elements") + + def __len__(self): + return len(self.heap) + + def push(self, elt, priority=None): + """Add an element to the queue.""" + if priority is not None: + elt = _HeapElement(priority, elt) + # If element is already in queue, do nothing + if elt in self.position: + return False + # Add element to heap and dict + pos = len(self.heap) + self.heap.append(elt) + self.position[elt] = pos + # Restore invariant by sifting down + self._siftdown(0, pos) + return True + + def pop(self): + """Remove and return the smallest element in the queue.""" + # Remove smallest element + elt = self.heap[0] + del self.position[elt] + # If elt is last item, remove and return + if len(self.heap) == 1: + self.heap.pop() + return elt + # Replace root with last element + last = self.heap.pop() + self.heap[0] = last + self.position[last] = 0 + # Restore invariant by sifting up + self._siftup(0) + # Return smallest element + return elt + + def update(self, elt, new, priority=None): + """Replace an element in the queue with a new one.""" + if priority is not None: + new = _HeapElement(priority, new) + # Replace + pos = self.position[elt] + self.heap[pos] = new + del self.position[elt] + self.position[new] = pos + # Restore invariant by sifting up + self._siftup(pos) + + def remove(self, elt): + """Remove an element from the queue.""" + # Find and remove element + try: + pos = self.position[elt] + del self.position[elt] + except KeyError: + # Not in queue + raise + # If elt is last item, remove and return + if pos == len(self.heap) - 1: + self.heap.pop() + return + # Replace elt with last element + last = self.heap.pop() + self.heap[pos] = last + self.position[last] = pos + # Restore invariant by sifting up + self._siftup(pos) + + def _siftup(self, pos): + """Move smaller child up until hitting a leaf. + + Built to mimic code for heapq._siftup + only updating position dict too. + """ + heap, position = self.heap, self.position + end_pos = len(heap) + startpos = pos + newitem = heap[pos] + # Shift up the smaller child until hitting a leaf + child_pos = (pos << 1) + 1 # start with leftmost child position + while child_pos < end_pos: + # Set child_pos to index of smaller child. + child = heap[child_pos] + right_pos = child_pos + 1 + if right_pos < end_pos: + right = heap[right_pos] + if not child < right: + child = right + child_pos = right_pos + # Move the smaller child up. + heap[pos] = child + position[child] = pos + pos = child_pos + child_pos = (pos << 1) + 1 + # pos is a leaf position. Put newitem there, and bubble it up + # to its final resting place (by sifting its parents down). + while pos > 0: + parent_pos = (pos - 1) >> 1 + parent = heap[parent_pos] + if not newitem < parent: + break + heap[pos] = parent + position[parent] = pos + pos = parent_pos + heap[pos] = newitem + position[newitem] = pos + + def _siftdown(self, start_pos, pos): + """Restore invariant. keep swapping with parent until smaller. + + Built to mimic code for heapq._siftdown + only updating position dict too. + """ + heap, position = self.heap, self.position + newitem = heap[pos] + # Follow the path to the root, moving parents down until finding a place + # newitem fits. + while pos > start_pos: + parent_pos = (pos - 1) >> 1 + parent = heap[parent_pos] + if not newitem < parent: + break + heap[pos] = parent + position[parent] = pos + pos = parent_pos + heap[pos] = newitem + position[newitem] = pos diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/misc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/misc.py new file mode 100644 index 0000000000000000000000000000000000000000..b42d8908605f9869e4bb43c7ba49ec08ac285f9c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/misc.py @@ -0,0 +1,653 @@ +""" +Miscellaneous Helpers for NetworkX. + +These are not imported into the base networkx namespace but +can be accessed, for example, as + +>>> import networkx +>>> networkx.utils.make_list_of_ints({1, 2, 3}) +[1, 2, 3] +>>> networkx.utils.arbitrary_element({5, 1, 7}) # doctest: +SKIP +1 +""" + +import random +import sys +import uuid +import warnings +from collections import defaultdict, deque +from collections.abc import Iterable, Iterator, Sized +from itertools import chain, tee + +import networkx as nx + +__all__ = [ + "flatten", + "make_list_of_ints", + "dict_to_numpy_array", + "arbitrary_element", + "pairwise", + "groups", + "create_random_state", + "create_py_random_state", + "PythonRandomInterface", + "PythonRandomViaNumpyBits", + "nodes_equal", + "edges_equal", + "graphs_equal", + "_clear_cache", +] + + +# some cookbook stuff +# used in deciding whether something is a bunch of nodes, edges, etc. +# see G.add_nodes and others in Graph Class in networkx/base.py + + +def flatten(obj, result=None): + """Return flattened version of (possibly nested) iterable object.""" + if not isinstance(obj, Iterable | Sized) or isinstance(obj, str): + return obj + if result is None: + result = [] + for item in obj: + if not isinstance(item, Iterable | Sized) or isinstance(item, str): + result.append(item) + else: + flatten(item, result) + return tuple(result) + + +def make_list_of_ints(sequence): + """Return list of ints from sequence of integral numbers. + + All elements of the sequence must satisfy int(element) == element + or a ValueError is raised. Sequence is iterated through once. + + If sequence is a list, the non-int values are replaced with ints. + So, no new list is created + """ + if not isinstance(sequence, list): + result = [] + for i in sequence: + errmsg = f"sequence is not all integers: {i}" + try: + ii = int(i) + except ValueError: + raise nx.NetworkXError(errmsg) from None + if ii != i: + raise nx.NetworkXError(errmsg) + result.append(ii) + return result + # original sequence is a list... in-place conversion to ints + for indx, i in enumerate(sequence): + errmsg = f"sequence is not all integers: {i}" + if isinstance(i, int): + continue + try: + ii = int(i) + except ValueError: + raise nx.NetworkXError(errmsg) from None + if ii != i: + raise nx.NetworkXError(errmsg) + sequence[indx] = ii + return sequence + + +def dict_to_numpy_array(d, mapping=None): + """Convert a dictionary of dictionaries to a numpy array + with optional mapping.""" + try: + return _dict_to_numpy_array2(d, mapping) + except (AttributeError, TypeError): + # AttributeError is when no mapping was provided and v.keys() fails. + # TypeError is when a mapping was provided and d[k1][k2] fails. + return _dict_to_numpy_array1(d, mapping) + + +def _dict_to_numpy_array2(d, mapping=None): + """Convert a dictionary of dictionaries to a 2d numpy array + with optional mapping. + + """ + import numpy as np + + if mapping is None: + s = set(d.keys()) + for k, v in d.items(): + s.update(v.keys()) + mapping = dict(zip(s, range(len(s)))) + n = len(mapping) + a = np.zeros((n, n)) + for k1, i in mapping.items(): + for k2, j in mapping.items(): + try: + a[i, j] = d[k1][k2] + except KeyError: + pass + return a + + +def _dict_to_numpy_array1(d, mapping=None): + """Convert a dictionary of numbers to a 1d numpy array with optional mapping.""" + import numpy as np + + if mapping is None: + s = set(d.keys()) + mapping = dict(zip(s, range(len(s)))) + n = len(mapping) + a = np.zeros(n) + for k1, i in mapping.items(): + i = mapping[k1] + a[i] = d[k1] + return a + + +def arbitrary_element(iterable): + """Returns an arbitrary element of `iterable` without removing it. + + This is most useful for "peeking" at an arbitrary element of a set, + but can be used for any list, dictionary, etc., as well. + + Parameters + ---------- + iterable : `abc.collections.Iterable` instance + Any object that implements ``__iter__``, e.g. set, dict, list, tuple, + etc. + + Returns + ------- + The object that results from ``next(iter(iterable))`` + + Raises + ------ + ValueError + If `iterable` is an iterator (because the current implementation of + this function would consume an element from the iterator). + + Examples + -------- + Arbitrary elements from common Iterable objects: + + >>> nx.utils.arbitrary_element([1, 2, 3]) # list + 1 + >>> nx.utils.arbitrary_element((1, 2, 3)) # tuple + 1 + >>> nx.utils.arbitrary_element({1, 2, 3}) # set + 1 + >>> d = {k: v for k, v in zip([1, 2, 3], [3, 2, 1])} + >>> nx.utils.arbitrary_element(d) # dict_keys + 1 + >>> nx.utils.arbitrary_element(d.values()) # dict values + 3 + + `str` is also an Iterable: + + >>> nx.utils.arbitrary_element("hello") + 'h' + + :exc:`ValueError` is raised if `iterable` is an iterator: + + >>> iterator = iter([1, 2, 3]) # Iterator, *not* Iterable + >>> nx.utils.arbitrary_element(iterator) + Traceback (most recent call last): + ... + ValueError: cannot return an arbitrary item from an iterator + + Notes + ----- + This function does not return a *random* element. If `iterable` is + ordered, sequential calls will return the same value:: + + >>> l = [1, 2, 3] + >>> nx.utils.arbitrary_element(l) + 1 + >>> nx.utils.arbitrary_element(l) + 1 + + """ + if isinstance(iterable, Iterator): + raise ValueError("cannot return an arbitrary item from an iterator") + # Another possible implementation is ``for x in iterable: return x``. + return next(iter(iterable)) + + +# Recipe from the itertools documentation. +def pairwise(iterable, cyclic=False): + "s -> (s0, s1), (s1, s2), (s2, s3), ..." + a, b = tee(iterable) + first = next(b, None) + if cyclic is True: + return zip(a, chain(b, (first,))) + return zip(a, b) + + +def groups(many_to_one): + """Converts a many-to-one mapping into a one-to-many mapping. + + `many_to_one` must be a dictionary whose keys and values are all + :term:`hashable`. + + The return value is a dictionary mapping values from `many_to_one` + to sets of keys from `many_to_one` that have that value. + + Examples + -------- + >>> from networkx.utils import groups + >>> many_to_one = {"a": 1, "b": 1, "c": 2, "d": 3, "e": 3} + >>> groups(many_to_one) # doctest: +SKIP + {1: {'a', 'b'}, 2: {'c'}, 3: {'e', 'd'}} + """ + one_to_many = defaultdict(set) + for v, k in many_to_one.items(): + one_to_many[k].add(v) + return dict(one_to_many) + + +def create_random_state(random_state=None): + """Returns a numpy.random.RandomState or numpy.random.Generator instance + depending on input. + + Parameters + ---------- + random_state : int or NumPy RandomState or Generator instance, optional (default=None) + If int, return a numpy.random.RandomState instance set with seed=int. + if `numpy.random.RandomState` instance, return it. + if `numpy.random.Generator` instance, return it. + if None or numpy.random, return the global random number generator used + by numpy.random. + """ + import numpy as np + + if random_state is None or random_state is np.random: + return np.random.mtrand._rand + if isinstance(random_state, np.random.RandomState): + return random_state + if isinstance(random_state, int): + return np.random.RandomState(random_state) + if isinstance(random_state, np.random.Generator): + return random_state + msg = ( + f"{random_state} cannot be used to create a numpy.random.RandomState or\n" + "numpy.random.Generator instance" + ) + raise ValueError(msg) + + +class PythonRandomViaNumpyBits(random.Random): + """Provide the random.random algorithms using a numpy.random bit generator + + The intent is to allow people to contribute code that uses Python's random + library, but still allow users to provide a single easily controlled random + bit-stream for all work with NetworkX. This implementation is based on helpful + comments and code from Robert Kern on NumPy's GitHub Issue #24458. + + This implementation supersedes that of `PythonRandomInterface` which rewrote + methods to account for subtle differences in API between `random` and + `numpy.random`. Instead this subclasses `random.Random` and overwrites + the methods `random`, `getrandbits`, `getstate`, `setstate` and `seed`. + It makes them use the rng values from an input numpy `RandomState` or `Generator`. + Those few methods allow the rest of the `random.Random` methods to provide + the API interface of `random.random` while using randomness generated by + a numpy generator. + """ + + def __init__(self, rng=None): + try: + import numpy as np + except ImportError: + msg = "numpy not found, only random.random available." + warnings.warn(msg, ImportWarning) + + if rng is None: + self._rng = np.random.mtrand._rand + else: + self._rng = rng + + # Not necessary, given our overriding of gauss() below, but it's + # in the superclass and nominally public, so initialize it here. + self.gauss_next = None + + def random(self): + """Get the next random number in the range 0.0 <= X < 1.0.""" + return self._rng.random() + + def getrandbits(self, k): + """getrandbits(k) -> x. Generates an int with k random bits.""" + if k < 0: + raise ValueError("number of bits must be non-negative") + numbytes = (k + 7) // 8 # bits / 8 and rounded up + x = int.from_bytes(self._rng.bytes(numbytes), "big") + return x >> (numbytes * 8 - k) # trim excess bits + + def getstate(self): + return self._rng.__getstate__() + + def setstate(self, state): + self._rng.__setstate__(state) + + def seed(self, *args, **kwds): + "Do nothing override method." + raise NotImplementedError("seed() not implemented in PythonRandomViaNumpyBits") + + +################################################################## +class PythonRandomInterface: + """PythonRandomInterface is included for backward compatibility + New code should use PythonRandomViaNumpyBits instead. + """ + + def __init__(self, rng=None): + try: + import numpy as np + except ImportError: + msg = "numpy not found, only random.random available." + warnings.warn(msg, ImportWarning) + + if rng is None: + self._rng = np.random.mtrand._rand + else: + self._rng = rng + + def random(self): + return self._rng.random() + + def uniform(self, a, b): + return a + (b - a) * self._rng.random() + + def randrange(self, a, b=None): + import numpy as np + + if b is None: + a, b = 0, a + if b > 9223372036854775807: # from np.iinfo(np.int64).max + tmp_rng = PythonRandomViaNumpyBits(self._rng) + return tmp_rng.randrange(a, b) + + if isinstance(self._rng, np.random.Generator): + return self._rng.integers(a, b) + return self._rng.randint(a, b) + + # NOTE: the numpy implementations of `choice` don't support strings, so + # this cannot be replaced with self._rng.choice + def choice(self, seq): + import numpy as np + + if isinstance(self._rng, np.random.Generator): + idx = self._rng.integers(0, len(seq)) + else: + idx = self._rng.randint(0, len(seq)) + return seq[idx] + + def gauss(self, mu, sigma): + return self._rng.normal(mu, sigma) + + def shuffle(self, seq): + return self._rng.shuffle(seq) + + # Some methods don't match API for numpy RandomState. + # Commented out versions are not used by NetworkX + + def sample(self, seq, k): + return self._rng.choice(list(seq), size=(k,), replace=False) + + def randint(self, a, b): + import numpy as np + + if b > 9223372036854775807: # from np.iinfo(np.int64).max + tmp_rng = PythonRandomViaNumpyBits(self._rng) + return tmp_rng.randint(a, b) + + if isinstance(self._rng, np.random.Generator): + return self._rng.integers(a, b + 1) + return self._rng.randint(a, b + 1) + + # exponential as expovariate with 1/argument, + def expovariate(self, scale): + return self._rng.exponential(1 / scale) + + # pareto as paretovariate with 1/argument, + def paretovariate(self, shape): + return self._rng.pareto(shape) + + +# weibull as weibullvariate multiplied by beta, +# def weibullvariate(self, alpha, beta): +# return self._rng.weibull(alpha) * beta +# +# def triangular(self, low, high, mode): +# return self._rng.triangular(low, mode, high) +# +# def choices(self, seq, weights=None, cum_weights=None, k=1): +# return self._rng.choice(seq + + +def create_py_random_state(random_state=None): + """Returns a random.Random instance depending on input. + + Parameters + ---------- + random_state : int or random number generator or None (default=None) + - If int, return a `random.Random` instance set with seed=int. + - If `random.Random` instance, return it. + - If None or the `np.random` package, return the global random number + generator used by `np.random`. + - If an `np.random.Generator` instance, or the `np.random` package, or + the global numpy random number generator, then return it. + wrapped in a `PythonRandomViaNumpyBits` class. + - If a `PythonRandomViaNumpyBits` instance, return it. + - If a `PythonRandomInterface` instance, return it. + - If a `np.random.RandomState` instance and not the global numpy default, + return it wrapped in `PythonRandomInterface` for backward bit-stream + matching with legacy code. + + Notes + ----- + - A diagram intending to illustrate the relationships behind our support + for numpy random numbers is called + `NetworkX Numpy Random Numbers `_. + - More discussion about this support also appears in + `gh-6869#comment `_. + - Wrappers of numpy.random number generators allow them to mimic the Python random + number generation algorithms. For example, Python can create arbitrarily large + random ints, and the wrappers use Numpy bit-streams with CPython's random module + to choose arbitrarily large random integers too. + - We provide two wrapper classes: + `PythonRandomViaNumpyBits` is usually what you want and is always used for + `np.Generator` instances. But for users who need to recreate random numbers + produced in NetworkX 3.2 or earlier, we maintain the `PythonRandomInterface` + wrapper as well. We use it only used if passed a (non-default) `np.RandomState` + instance pre-initialized from a seed. Otherwise the newer wrapper is used. + """ + if random_state is None or random_state is random: + return random._inst + if isinstance(random_state, random.Random): + return random_state + if isinstance(random_state, int): + return random.Random(random_state) + + try: + import numpy as np + except ImportError: + pass + else: + if isinstance(random_state, PythonRandomInterface | PythonRandomViaNumpyBits): + return random_state + if isinstance(random_state, np.random.Generator): + return PythonRandomViaNumpyBits(random_state) + if random_state is np.random: + return PythonRandomViaNumpyBits(np.random.mtrand._rand) + + if isinstance(random_state, np.random.RandomState): + if random_state is np.random.mtrand._rand: + return PythonRandomViaNumpyBits(random_state) + # Only need older interface if specially constructed RandomState used + return PythonRandomInterface(random_state) + + msg = f"{random_state} cannot be used to generate a random.Random instance" + raise ValueError(msg) + + +def nodes_equal(nodes1, nodes2): + """Check if nodes are equal. + + Equality here means equal as Python objects. + Node data must match if included. + The order of nodes is not relevant. + + Parameters + ---------- + nodes1, nodes2 : iterables of nodes, or (node, datadict) tuples + + Returns + ------- + bool + True if nodes are equal, False otherwise. + """ + nlist1 = list(nodes1) + nlist2 = list(nodes2) + try: + d1 = dict(nlist1) + d2 = dict(nlist2) + except (ValueError, TypeError): + d1 = dict.fromkeys(nlist1) + d2 = dict.fromkeys(nlist2) + return d1 == d2 + + +def edges_equal(edges1, edges2): + """Check if edges are equal. + + Equality here means equal as Python objects. + Edge data must match if included. + The order of the edges is not relevant. + + Parameters + ---------- + edges1, edges2 : iterables of with u, v nodes as + edge tuples (u, v), or + edge tuples with data dicts (u, v, d), or + edge tuples with keys and data dicts (u, v, k, d) + + Returns + ------- + bool + True if edges are equal, False otherwise. + """ + from collections import defaultdict + + d1 = defaultdict(dict) + d2 = defaultdict(dict) + c1 = 0 + for c1, e in enumerate(edges1): + u, v = e[0], e[1] + data = [e[2:]] + if v in d1[u]: + data = d1[u][v] + data + d1[u][v] = data + d1[v][u] = data + c2 = 0 + for c2, e in enumerate(edges2): + u, v = e[0], e[1] + data = [e[2:]] + if v in d2[u]: + data = d2[u][v] + data + d2[u][v] = data + d2[v][u] = data + if c1 != c2: + return False + # can check one direction because lengths are the same. + for n, nbrdict in d1.items(): + for nbr, datalist in nbrdict.items(): + if n not in d2: + return False + if nbr not in d2[n]: + return False + d2datalist = d2[n][nbr] + for data in datalist: + if datalist.count(data) != d2datalist.count(data): + return False + return True + + +def graphs_equal(graph1, graph2): + """Check if graphs are equal. + + Equality here means equal as Python objects (not isomorphism). + Node, edge and graph data must match. + + Parameters + ---------- + graph1, graph2 : graph + + Returns + ------- + bool + True if graphs are equal, False otherwise. + """ + return ( + graph1.adj == graph2.adj + and graph1.nodes == graph2.nodes + and graph1.graph == graph2.graph + ) + + +def _clear_cache(G): + """Clear the cache of a graph (currently stores converted graphs). + + Caching is controlled via ``nx.config.cache_converted_graphs`` configuration. + """ + if cache := getattr(G, "__networkx_cache__", None): + cache.clear() + + +def check_create_using(create_using, *, directed=None, multigraph=None, default=None): + """Assert that create_using has good properties + + This checks for desired directedness and multi-edge properties. + It returns `create_using` unless that is `None` when it returns + the optionally specified default value. + + Parameters + ---------- + create_using : None, graph class or instance + The input value of create_using for a function. + directed : None or bool + Whether to check `create_using.is_directed() == directed`. + If None, do not assert directedness. + multigraph : None or bool + Whether to check `create_using.is_multigraph() == multigraph`. + If None, do not assert multi-edge property. + default : None or graph class + The graph class to return if create_using is None. + + Returns + ------- + create_using : graph class or instance + The provided graph class or instance, or if None, the `default` value. + + Raises + ------ + NetworkXError + When `create_using` doesn't match the properties specified by `directed` + or `multigraph` parameters. + """ + if default is None: + default = nx.Graph + G = create_using if create_using is not None else default + + G_directed = G.is_directed(None) if isinstance(G, type) else G.is_directed() + G_multigraph = G.is_multigraph(None) if isinstance(G, type) else G.is_multigraph() + + if directed is not None: + if directed and not G_directed: + raise nx.NetworkXError("create_using must be directed") + if not directed and G_directed: + raise nx.NetworkXError("create_using must not be directed") + + if multigraph is not None: + if multigraph and not G_multigraph: + raise nx.NetworkXError("create_using must be a multi-graph") + if not multigraph and G_multigraph: + raise nx.NetworkXError("create_using must not be a multi-graph") + return G diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/random_sequence.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/random_sequence.py new file mode 100644 index 0000000000000000000000000000000000000000..20a7b5e0a7fcc426ed9840f8bed2abf500e357e5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/random_sequence.py @@ -0,0 +1,164 @@ +""" +Utilities for generating random numbers, random sequences, and +random selections. +""" + +import networkx as nx +from networkx.utils import py_random_state + +__all__ = [ + "powerlaw_sequence", + "zipf_rv", + "cumulative_distribution", + "discrete_sequence", + "random_weighted_sample", + "weighted_choice", +] + + +# The same helpers for choosing random sequences from distributions +# uses Python's random module +# https://docs.python.org/3/library/random.html + + +@py_random_state(2) +def powerlaw_sequence(n, exponent=2.0, seed=None): + """ + Return sample sequence of length n from a power law distribution. + """ + return [seed.paretovariate(exponent - 1) for i in range(n)] + + +@py_random_state(2) +def zipf_rv(alpha, xmin=1, seed=None): + r"""Returns a random value chosen from the Zipf distribution. + + The return value is an integer drawn from the probability distribution + + .. math:: + + p(x)=\frac{x^{-\alpha}}{\zeta(\alpha, x_{\min})}, + + where $\zeta(\alpha, x_{\min})$ is the Hurwitz zeta function. + + Parameters + ---------- + alpha : float + Exponent value of the distribution + xmin : int + Minimum value + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness`. + + Returns + ------- + x : int + Random value from Zipf distribution + + Raises + ------ + ValueError: + If xmin < 1 or + If alpha <= 1 + + Notes + ----- + The rejection algorithm generates random values for a the power-law + distribution in uniformly bounded expected time dependent on + parameters. See [1]_ for details on its operation. + + Examples + -------- + >>> nx.utils.zipf_rv(alpha=2, xmin=3, seed=42) + 8 + + References + ---------- + .. [1] Luc Devroye, Non-Uniform Random Variate Generation, + Springer-Verlag, New York, 1986. + """ + if xmin < 1: + raise ValueError("xmin < 1") + if alpha <= 1: + raise ValueError("a <= 1.0") + a1 = alpha - 1.0 + b = 2**a1 + while True: + u = 1.0 - seed.random() # u in (0,1] + v = seed.random() # v in [0,1) + x = int(xmin * u ** -(1.0 / a1)) + t = (1.0 + (1.0 / x)) ** a1 + if v * x * (t - 1.0) / (b - 1.0) <= t / b: + break + return x + + +def cumulative_distribution(distribution): + """Returns normalized cumulative distribution from discrete distribution.""" + + cdf = [0.0] + psum = sum(distribution) + for i in range(len(distribution)): + cdf.append(cdf[i] + distribution[i] / psum) + return cdf + + +@py_random_state(3) +def discrete_sequence(n, distribution=None, cdistribution=None, seed=None): + """ + Return sample sequence of length n from a given discrete distribution + or discrete cumulative distribution. + + One of the following must be specified. + + distribution = histogram of values, will be normalized + + cdistribution = normalized discrete cumulative distribution + + """ + import bisect + + if cdistribution is not None: + cdf = cdistribution + elif distribution is not None: + cdf = cumulative_distribution(distribution) + else: + raise nx.NetworkXError( + "discrete_sequence: distribution or cdistribution missing" + ) + + # get a uniform random number + inputseq = [seed.random() for i in range(n)] + + # choose from CDF + seq = [bisect.bisect_left(cdf, s) - 1 for s in inputseq] + return seq + + +@py_random_state(2) +def random_weighted_sample(mapping, k, seed=None): + """Returns k items without replacement from a weighted sample. + + The input is a dictionary of items with weights as values. + """ + if k > len(mapping): + raise ValueError("sample larger than population") + sample = set() + while len(sample) < k: + sample.add(weighted_choice(mapping, seed)) + return list(sample) + + +@py_random_state(1) +def weighted_choice(mapping, seed=None): + """Returns a single element from a weighted sample. + + The input is a dictionary of items with weights as values. + """ + # use roulette method + rnd = seed.random() * sum(mapping.values()) + for k, w in mapping.items(): + rnd -= w + if rnd < 0: + return k diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/rcm.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/rcm.py new file mode 100644 index 0000000000000000000000000000000000000000..e7366fff8ad95da28246d1edf8e7ad883d8459ac --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/rcm.py @@ -0,0 +1,159 @@ +""" +Cuthill-McKee ordering of graph nodes to produce sparse matrices +""" + +from collections import deque +from operator import itemgetter + +import networkx as nx + +from ..utils import arbitrary_element + +__all__ = ["cuthill_mckee_ordering", "reverse_cuthill_mckee_ordering"] + + +def cuthill_mckee_ordering(G, heuristic=None): + """Generate an ordering (permutation) of the graph nodes to make + a sparse matrix. + + Uses the Cuthill-McKee heuristic (based on breadth-first search) [1]_. + + Parameters + ---------- + G : graph + A NetworkX graph + + heuristic : function, optional + Function to choose starting node for RCM algorithm. If None + a node from a pseudo-peripheral pair is used. A user-defined function + can be supplied that takes a graph object and returns a single node. + + Returns + ------- + nodes : generator + Generator of nodes in Cuthill-McKee ordering. + + Examples + -------- + >>> from networkx.utils import cuthill_mckee_ordering + >>> G = nx.path_graph(4) + >>> rcm = list(cuthill_mckee_ordering(G)) + >>> A = nx.adjacency_matrix(G, nodelist=rcm) + + Smallest degree node as heuristic function: + + >>> def smallest_degree(G): + ... return min(G, key=G.degree) + >>> rcm = list(cuthill_mckee_ordering(G, heuristic=smallest_degree)) + + + See Also + -------- + reverse_cuthill_mckee_ordering + + Notes + ----- + The optimal solution the bandwidth reduction is NP-complete [2]_. + + + References + ---------- + .. [1] E. Cuthill and J. McKee. + Reducing the bandwidth of sparse symmetric matrices, + In Proc. 24th Nat. Conf. ACM, pages 157-172, 1969. + http://doi.acm.org/10.1145/800195.805928 + .. [2] Steven S. Skiena. 1997. The Algorithm Design Manual. + Springer-Verlag New York, Inc., New York, NY, USA. + """ + for c in nx.connected_components(G): + yield from connected_cuthill_mckee_ordering(G.subgraph(c), heuristic) + + +def reverse_cuthill_mckee_ordering(G, heuristic=None): + """Generate an ordering (permutation) of the graph nodes to make + a sparse matrix. + + Uses the reverse Cuthill-McKee heuristic (based on breadth-first search) + [1]_. + + Parameters + ---------- + G : graph + A NetworkX graph + + heuristic : function, optional + Function to choose starting node for RCM algorithm. If None + a node from a pseudo-peripheral pair is used. A user-defined function + can be supplied that takes a graph object and returns a single node. + + Returns + ------- + nodes : generator + Generator of nodes in reverse Cuthill-McKee ordering. + + Examples + -------- + >>> from networkx.utils import reverse_cuthill_mckee_ordering + >>> G = nx.path_graph(4) + >>> rcm = list(reverse_cuthill_mckee_ordering(G)) + >>> A = nx.adjacency_matrix(G, nodelist=rcm) + + Smallest degree node as heuristic function: + + >>> def smallest_degree(G): + ... return min(G, key=G.degree) + >>> rcm = list(reverse_cuthill_mckee_ordering(G, heuristic=smallest_degree)) + + + See Also + -------- + cuthill_mckee_ordering + + Notes + ----- + The optimal solution the bandwidth reduction is NP-complete [2]_. + + References + ---------- + .. [1] E. Cuthill and J. McKee. + Reducing the bandwidth of sparse symmetric matrices, + In Proc. 24th Nat. Conf. ACM, pages 157-72, 1969. + http://doi.acm.org/10.1145/800195.805928 + .. [2] Steven S. Skiena. 1997. The Algorithm Design Manual. + Springer-Verlag New York, Inc., New York, NY, USA. + """ + return reversed(list(cuthill_mckee_ordering(G, heuristic=heuristic))) + + +def connected_cuthill_mckee_ordering(G, heuristic=None): + # the cuthill mckee algorithm for connected graphs + if heuristic is None: + start = pseudo_peripheral_node(G) + else: + start = heuristic(G) + visited = {start} + queue = deque([start]) + while queue: + parent = queue.popleft() + yield parent + nd = sorted(G.degree(set(G[parent]) - visited), key=itemgetter(1)) + children = [n for n, d in nd] + visited.update(children) + queue.extend(children) + + +def pseudo_peripheral_node(G): + # helper for cuthill-mckee to find a node in a "pseudo peripheral pair" + # to use as good starting node + u = arbitrary_element(G) + lp = 0 + v = u + while True: + spl = dict(nx.shortest_path_length(G, v)) + l = max(spl.values()) + if l <= lp: + break + lp = l + farthest = (n for n, dist in spl.items() if dist == l) + v, deg = min(G.degree(farthest), key=itemgetter(1)) + return v diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test__init.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test__init.py new file mode 100644 index 0000000000000000000000000000000000000000..ecbcce36df7cd37781dd45879f63f7d6f55e5567 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test__init.py @@ -0,0 +1,11 @@ +import pytest + + +def test_utils_namespace(): + """Ensure objects are not unintentionally exposed in utils namespace.""" + with pytest.raises(ImportError): + from networkx.utils import nx + with pytest.raises(ImportError): + from networkx.utils import sys + with pytest.raises(ImportError): + from networkx.utils import defaultdict, deque diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_backends.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_backends.py new file mode 100644 index 0000000000000000000000000000000000000000..ad006f00f7a9b5f4a5140827c5a9dce1eb0530c3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_backends.py @@ -0,0 +1,170 @@ +import pickle + +import pytest + +import networkx as nx + +sp = pytest.importorskip("scipy") +pytest.importorskip("numpy") + + +def test_dispatch_kwds_vs_args(): + G = nx.path_graph(4) + nx.pagerank(G) + nx.pagerank(G=G) + with pytest.raises(TypeError): + nx.pagerank() + + +def test_pickle(): + count = 0 + for name, func in nx.utils.backends._registered_algorithms.items(): + pickled = pickle.dumps(func.__wrapped__) + assert pickle.loads(pickled) is func.__wrapped__ + try: + # Some functions can't be pickled, but it's not b/c of _dispatchable + pickled = pickle.dumps(func) + except pickle.PicklingError: + continue + assert pickle.loads(pickled) is func + count += 1 + assert count > 0 + assert pickle.loads(pickle.dumps(nx.inverse_line_graph)) is nx.inverse_line_graph + + +@pytest.mark.skipif( + "not nx.config.backend_priority.algos " + "or nx.config.backend_priority.algos[0] != 'nx_loopback'" +) +def test_graph_converter_needs_backend(): + # When testing, `nx.from_scipy_sparse_array` will *always* call the backend + # implementation if it's implemented. If `backend=` isn't given, then the result + # will be converted back to NetworkX via `convert_to_nx`. + # If not testing, then calling `nx.from_scipy_sparse_array` w/o `backend=` will + # always call the original version. `backend=` is *required* to call the backend. + from networkx.classes.tests.dispatch_interface import ( + LoopbackBackendInterface, + LoopbackGraph, + ) + + A = sp.sparse.coo_array([[0, 3, 2], [3, 0, 1], [2, 1, 0]]) + + side_effects = [] + + def from_scipy_sparse_array(self, *args, **kwargs): + side_effects.append(1) # Just to prove this was called + return self.convert_from_nx( + self.__getattr__("from_scipy_sparse_array")(*args, **kwargs), + preserve_edge_attrs=True, + preserve_node_attrs=True, + preserve_graph_attrs=True, + ) + + @staticmethod + def convert_to_nx(obj, *, name=None): + if type(obj) is nx.Graph: + return obj + return nx.Graph(obj) + + # *This mutates LoopbackBackendInterface!* + orig_convert_to_nx = LoopbackBackendInterface.convert_to_nx + LoopbackBackendInterface.convert_to_nx = convert_to_nx + LoopbackBackendInterface.from_scipy_sparse_array = from_scipy_sparse_array + + try: + assert side_effects == [] + assert type(nx.from_scipy_sparse_array(A)) is nx.Graph + assert side_effects == [1] + assert ( + type(nx.from_scipy_sparse_array(A, backend="nx_loopback")) is LoopbackGraph + ) + assert side_effects == [1, 1] + # backend="networkx" is default implementation + assert type(nx.from_scipy_sparse_array(A, backend="networkx")) is nx.Graph + assert side_effects == [1, 1] + finally: + LoopbackBackendInterface.convert_to_nx = staticmethod(orig_convert_to_nx) + del LoopbackBackendInterface.from_scipy_sparse_array + with pytest.raises(ImportError, match="backend is not installed"): + nx.from_scipy_sparse_array(A, backend="bad-backend-name") + + +@pytest.mark.skipif( + "not nx.config.backend_priority.algos " + "or nx.config.backend_priority.algos[0] != 'nx_loopback'" +) +def test_networkx_backend(): + """Test using `backend="networkx"` in a dispatchable function.""" + # (Implementing this test is harder than it should be) + from networkx.classes.tests.dispatch_interface import ( + LoopbackBackendInterface, + LoopbackGraph, + ) + + G = LoopbackGraph() + G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4)]) + + @staticmethod + def convert_to_nx(obj, *, name=None): + if isinstance(obj, LoopbackGraph): + new_graph = nx.Graph() + new_graph.__dict__.update(obj.__dict__) + return new_graph + return obj + + # *This mutates LoopbackBackendInterface!* + # This uses the same trick as in the previous test. + orig_convert_to_nx = LoopbackBackendInterface.convert_to_nx + LoopbackBackendInterface.convert_to_nx = convert_to_nx + try: + G2 = nx.ego_graph(G, 0, backend="networkx") + assert type(G2) is nx.Graph + finally: + LoopbackBackendInterface.convert_to_nx = staticmethod(orig_convert_to_nx) + + +def test_dispatchable_are_functions(): + assert type(nx.pagerank) is type(nx.pagerank.orig_func) + + +@pytest.mark.skipif("not nx.utils.backends.backends") +def test_mixing_backend_graphs(): + from networkx.classes.tests import dispatch_interface + + G = nx.Graph() + G.add_edge(1, 2) + G.add_edge(2, 3) + H = nx.Graph() + H.add_edge(2, 3) + rv = nx.intersection(G, H) + assert set(nx.intersection(G, H)) == {2, 3} + G2 = dispatch_interface.convert(G) + H2 = dispatch_interface.convert(H) + if "nx_loopback" in nx.config.backend_priority: + # Auto-convert + assert set(nx.intersection(G2, H)) == {2, 3} + assert set(nx.intersection(G, H2)) == {2, 3} + elif not nx.config.backend_priority and "nx_loopback" not in nx.config.backends: + # G2 and H2 are backend objects for a backend that is not registered! + with pytest.raises(ImportError, match="backend is not installed"): + nx.intersection(G2, H) + with pytest.raises(ImportError, match="backend is not installed"): + nx.intersection(G, H2) + # It would be nice to test passing graphs from *different* backends, + # but we are not set up to do this yet. + + +def test_bad_backend_name(): + """Using `backend=` raises with unknown backend even if there are no backends.""" + with pytest.raises( + ImportError, match="'this_backend_does_not_exist' backend is not installed" + ): + nx.null_graph(backend="this_backend_does_not_exist") + + +def test_fallback_to_nx(): + with pytest.warns(DeprecationWarning, match="_fallback_to_nx"): + # Check as class property + assert nx._dispatchable._fallback_to_nx == nx.config.fallback_to_nx + # Check as instance property + assert nx.pagerank.__wrapped__._fallback_to_nx == nx.config.fallback_to_nx diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_config.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_config.py new file mode 100644 index 0000000000000000000000000000000000000000..7416b0ac18e9f8852ad9b5989a2edcb55c7c1638 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_config.py @@ -0,0 +1,231 @@ +import collections +import pickle + +import pytest + +import networkx as nx +from networkx.utils.configs import BackendPriorities, Config + + +# Define this at module level so we can test pickling +class ExampleConfig(Config): + """Example configuration.""" + + x: int + y: str + + def _on_setattr(self, key, value): + if key == "x" and value <= 0: + raise ValueError("x must be positive") + if key == "y" and not isinstance(value, str): + raise TypeError("y must be a str") + return value + + +class EmptyConfig(Config): + pass + + +@pytest.mark.parametrize("cfg", [EmptyConfig(), Config()]) +def test_config_empty(cfg): + assert dir(cfg) == [] + with pytest.raises(AttributeError): + cfg.x = 1 + with pytest.raises(KeyError): + cfg["x"] = 1 + with pytest.raises(AttributeError): + cfg.x + with pytest.raises(KeyError): + cfg["x"] + assert len(cfg) == 0 + assert "x" not in cfg + assert cfg == cfg + assert cfg.get("x", 2) == 2 + assert set(cfg.keys()) == set() + assert set(cfg.values()) == set() + assert set(cfg.items()) == set() + cfg2 = pickle.loads(pickle.dumps(cfg)) + assert cfg == cfg2 + assert isinstance(cfg, collections.abc.Collection) + assert isinstance(cfg, collections.abc.Mapping) + + +def test_config_subclass(): + with pytest.raises(TypeError, match="missing 2 required keyword-only"): + ExampleConfig() + with pytest.raises(ValueError, match="x must be positive"): + ExampleConfig(x=0, y="foo") + with pytest.raises(TypeError, match="unexpected keyword"): + ExampleConfig(x=1, y="foo", z="bad config") + with pytest.raises(TypeError, match="unexpected keyword"): + EmptyConfig(z="bad config") + cfg = ExampleConfig(x=1, y="foo") + assert cfg.x == 1 + assert cfg["x"] == 1 + assert cfg["y"] == "foo" + assert cfg.y == "foo" + assert "x" in cfg + assert "y" in cfg + assert "z" not in cfg + assert len(cfg) == 2 + assert set(iter(cfg)) == {"x", "y"} + assert set(cfg.keys()) == {"x", "y"} + assert set(cfg.values()) == {1, "foo"} + assert set(cfg.items()) == {("x", 1), ("y", "foo")} + assert dir(cfg) == ["x", "y"] + cfg.x = 2 + cfg["y"] = "bar" + assert cfg["x"] == 2 + assert cfg.y == "bar" + with pytest.raises(TypeError, match="can't be deleted"): + del cfg.x + with pytest.raises(TypeError, match="can't be deleted"): + del cfg["y"] + assert cfg.x == 2 + assert cfg == cfg + assert cfg == ExampleConfig(x=2, y="bar") + assert cfg != ExampleConfig(x=3, y="baz") + assert cfg != Config(x=2, y="bar") + with pytest.raises(TypeError, match="y must be a str"): + cfg["y"] = 5 + with pytest.raises(ValueError, match="x must be positive"): + cfg.x = -5 + assert cfg.get("x", 10) == 2 + with pytest.raises(AttributeError): + cfg.z = 5 + with pytest.raises(KeyError): + cfg["z"] = 5 + with pytest.raises(AttributeError): + cfg.z + with pytest.raises(KeyError): + cfg["z"] + cfg2 = pickle.loads(pickle.dumps(cfg)) + assert cfg == cfg2 + assert cfg.__doc__ == "Example configuration." + assert cfg2.__doc__ == "Example configuration." + + +def test_config_defaults(): + class DefaultConfig(Config): + x: int = 0 + y: int + + cfg = DefaultConfig(y=1) + assert cfg.x == 0 + cfg = DefaultConfig(x=2, y=1) + assert cfg.x == 2 + + +def test_nxconfig(): + assert isinstance(nx.config.backend_priority, BackendPriorities) + assert isinstance(nx.config.backend_priority.algos, list) + assert isinstance(nx.config.backends, Config) + with pytest.raises(TypeError, match="must be a list of backend names"): + nx.config.backend_priority.algos = "nx_loopback" + with pytest.raises(ValueError, match="Unknown backend when setting"): + nx.config.backend_priority.algos = ["this_almost_certainly_is_not_a_backend"] + with pytest.raises(TypeError, match="must be a Config of backend configs"): + nx.config.backends = {} + with pytest.raises(TypeError, match="must be a Config of backend configs"): + nx.config.backends = Config(plausible_backend_name={}) + with pytest.raises(ValueError, match="Unknown backend when setting"): + nx.config.backends = Config(this_almost_certainly_is_not_a_backend=Config()) + with pytest.raises(TypeError, match="must be True or False"): + nx.config.cache_converted_graphs = "bad value" + with pytest.raises(TypeError, match="must be a set of "): + nx.config.warnings_to_ignore = 7 + with pytest.raises(ValueError, match="Unknown warning "): + nx.config.warnings_to_ignore = {"bad value"} + + +def test_not_strict(): + class FlexibleConfig(Config, strict=False): + x: int + + cfg = FlexibleConfig(x=1) + assert "_strict" not in cfg + assert len(cfg) == 1 + assert list(cfg) == ["x"] + assert list(cfg.keys()) == ["x"] + assert list(cfg.values()) == [1] + assert list(cfg.items()) == [("x", 1)] + assert cfg.x == 1 + assert cfg["x"] == 1 + assert "x" in cfg + assert hasattr(cfg, "x") + assert "FlexibleConfig(x=1)" in repr(cfg) + assert cfg == FlexibleConfig(x=1) + del cfg.x + assert "FlexibleConfig()" in repr(cfg) + assert len(cfg) == 0 + assert not hasattr(cfg, "x") + assert "x" not in cfg + assert not hasattr(cfg, "y") + assert "y" not in cfg + cfg.y = 2 + assert len(cfg) == 1 + assert list(cfg) == ["y"] + assert list(cfg.keys()) == ["y"] + assert list(cfg.values()) == [2] + assert list(cfg.items()) == [("y", 2)] + assert cfg.y == 2 + assert cfg["y"] == 2 + assert hasattr(cfg, "y") + assert "y" in cfg + del cfg["y"] + assert len(cfg) == 0 + assert list(cfg) == [] + with pytest.raises(AttributeError, match="y"): + del cfg.y + with pytest.raises(KeyError, match="y"): + del cfg["y"] + with pytest.raises(TypeError, match="missing 1 required keyword-only"): + FlexibleConfig() + # Be strict when first creating the config object + with pytest.raises(TypeError, match="unexpected keyword argument 'y'"): + FlexibleConfig(x=1, y=2) + + class FlexibleConfigWithDefault(Config, strict=False): + x: int = 0 + + assert FlexibleConfigWithDefault().x == 0 + assert FlexibleConfigWithDefault(x=1)["x"] == 1 + + +def test_context(): + cfg = Config(x=1) + with cfg(x=2) as c: + assert c.x == 2 + c.x = 3 + assert cfg.x == 3 + assert cfg.x == 1 + + with cfg(x=2) as c: + assert c == cfg + assert cfg.x == 2 + with cfg(x=3) as c2: + assert c2 == cfg + assert cfg.x == 3 + with pytest.raises(RuntimeError, match="context manager without"): + with cfg as c3: # Forgot to call `cfg(...)` + pass + assert cfg.x == 3 + assert cfg.x == 2 + assert cfg.x == 1 + + c = cfg(x=4) # Not yet as context (not recommended, but possible) + assert c == cfg + assert cfg.x == 4 + # Cheat by looking at internal data; context stack should only grow with __enter__ + assert cfg._prev is not None + assert cfg._context_stack == [] + with c: + assert c == cfg + assert cfg.x == 4 + assert cfg.x == 1 + # Cheat again; there was no preceding `cfg(...)` call this time + assert cfg._prev is None + with pytest.raises(RuntimeError, match="context manager without"): + with cfg: + pass + assert cfg.x == 1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_decorators.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_decorators.py new file mode 100644 index 0000000000000000000000000000000000000000..0a4aeabfe0b016bec362eac628489f6f4244cc59 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_decorators.py @@ -0,0 +1,510 @@ +import os +import pathlib +import random +import tempfile + +import pytest + +import networkx as nx +from networkx.utils.decorators import ( + argmap, + not_implemented_for, + np_random_state, + open_file, + py_random_state, +) +from networkx.utils.misc import PythonRandomInterface, PythonRandomViaNumpyBits + + +def test_not_implemented_decorator(): + @not_implemented_for("directed") + def test_d(G): + pass + + test_d(nx.Graph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_d(nx.DiGraph()) + + @not_implemented_for("undirected") + def test_u(G): + pass + + test_u(nx.DiGraph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_u(nx.Graph()) + + @not_implemented_for("multigraph") + def test_m(G): + pass + + test_m(nx.Graph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_m(nx.MultiGraph()) + + @not_implemented_for("graph") + def test_g(G): + pass + + test_g(nx.MultiGraph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_g(nx.Graph()) + + # not MultiDiGraph (multiple arguments => AND) + @not_implemented_for("directed", "multigraph") + def test_not_md(G): + pass + + test_not_md(nx.Graph()) + test_not_md(nx.DiGraph()) + test_not_md(nx.MultiGraph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_not_md(nx.MultiDiGraph()) + + # Graph only (multiple decorators => OR) + @not_implemented_for("directed") + @not_implemented_for("multigraph") + def test_graph_only(G): + pass + + test_graph_only(nx.Graph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_graph_only(nx.DiGraph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_graph_only(nx.MultiGraph()) + with pytest.raises(nx.NetworkXNotImplemented): + test_graph_only(nx.MultiDiGraph()) + + with pytest.raises(ValueError): + not_implemented_for("directed", "undirected") + + with pytest.raises(ValueError): + not_implemented_for("multigraph", "graph") + + +def test_not_implemented_decorator_key(): + with pytest.raises(KeyError): + + @not_implemented_for("foo") + def test1(G): + pass + + test1(nx.Graph()) + + +def test_not_implemented_decorator_raise(): + with pytest.raises(nx.NetworkXNotImplemented): + + @not_implemented_for("graph") + def test1(G): + pass + + test1(nx.Graph()) + + +class TestOpenFileDecorator: + def setup_method(self): + self.text = ["Blah... ", "BLAH ", "BLAH!!!!"] + self.fobj = tempfile.NamedTemporaryFile("wb+", delete=False) + self.name = self.fobj.name + + def teardown_method(self): + self.fobj.close() + os.unlink(self.name) + + def write(self, path): + for text in self.text: + path.write(text.encode("ascii")) + + @open_file(1, "r") + def read(self, path): + return path.readlines()[0] + + @staticmethod + @open_file(0, "wb") + def writer_arg0(path): + path.write(b"demo") + + @open_file(1, "wb+") + def writer_arg1(self, path): + self.write(path) + + @open_file(2, "wb") + def writer_arg2default(self, x, path=None): + if path is None: + with tempfile.NamedTemporaryFile("wb+") as fh: + self.write(fh) + else: + self.write(path) + + @open_file(4, "wb") + def writer_arg4default(self, x, y, other="hello", path=None, **kwargs): + if path is None: + with tempfile.NamedTemporaryFile("wb+") as fh: + self.write(fh) + else: + self.write(path) + + @open_file("path", "wb") + def writer_kwarg(self, **kwargs): + path = kwargs.get("path", None) + if path is None: + with tempfile.NamedTemporaryFile("wb+") as fh: + self.write(fh) + else: + self.write(path) + + def test_writer_arg0_str(self): + self.writer_arg0(self.name) + + def test_writer_arg0_fobj(self): + self.writer_arg0(self.fobj) + + def test_writer_arg0_pathlib(self): + self.writer_arg0(pathlib.Path(self.name)) + + def test_writer_arg1_str(self): + self.writer_arg1(self.name) + assert self.read(self.name) == "".join(self.text) + + def test_writer_arg1_fobj(self): + self.writer_arg1(self.fobj) + assert not self.fobj.closed + self.fobj.close() + assert self.read(self.name) == "".join(self.text) + + def test_writer_arg2default_str(self): + self.writer_arg2default(0, path=None) + self.writer_arg2default(0, path=self.name) + assert self.read(self.name) == "".join(self.text) + + def test_writer_arg2default_fobj(self): + self.writer_arg2default(0, path=self.fobj) + assert not self.fobj.closed + self.fobj.close() + assert self.read(self.name) == "".join(self.text) + + def test_writer_arg2default_fobj_path_none(self): + self.writer_arg2default(0, path=None) + + def test_writer_arg4default_fobj(self): + self.writer_arg4default(0, 1, dog="dog", other="other") + self.writer_arg4default(0, 1, dog="dog", other="other", path=self.name) + assert self.read(self.name) == "".join(self.text) + + def test_writer_kwarg_str(self): + self.writer_kwarg(path=self.name) + assert self.read(self.name) == "".join(self.text) + + def test_writer_kwarg_fobj(self): + self.writer_kwarg(path=self.fobj) + self.fobj.close() + assert self.read(self.name) == "".join(self.text) + + def test_writer_kwarg_path_none(self): + self.writer_kwarg(path=None) + + +class TestRandomState: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + + @np_random_state(1) + def instantiate_np_random_state(self, random_state): + allowed = (np.random.RandomState, np.random.Generator) + assert isinstance(random_state, allowed) + return random_state.random() + + @py_random_state(1) + def instantiate_py_random_state(self, random_state): + allowed = (random.Random, PythonRandomInterface, PythonRandomViaNumpyBits) + assert isinstance(random_state, allowed) + return random_state.random() + + def test_random_state_None(self): + np.random.seed(42) + rv = np.random.random() + np.random.seed(42) + assert rv == self.instantiate_np_random_state(None) + + random.seed(42) + rv = random.random() + random.seed(42) + assert rv == self.instantiate_py_random_state(None) + + def test_random_state_np_random(self): + np.random.seed(42) + rv = np.random.random() + np.random.seed(42) + assert rv == self.instantiate_np_random_state(np.random) + np.random.seed(42) + assert rv == self.instantiate_py_random_state(np.random) + + def test_random_state_int(self): + np.random.seed(42) + np_rv = np.random.random() + random.seed(42) + py_rv = random.random() + + np.random.seed(42) + seed = 1 + rval = self.instantiate_np_random_state(seed) + rval_expected = np.random.RandomState(seed).rand() + assert rval == rval_expected + # test that global seed wasn't changed in function + assert np_rv == np.random.random() + + random.seed(42) + rval = self.instantiate_py_random_state(seed) + rval_expected = random.Random(seed).random() + assert rval == rval_expected + # test that global seed wasn't changed in function + assert py_rv == random.random() + + def test_random_state_np_random_Generator(self): + np.random.seed(42) + np_rv = np.random.random() + np.random.seed(42) + seed = 1 + + rng = np.random.default_rng(seed) + rval = self.instantiate_np_random_state(rng) + rval_expected = np.random.default_rng(seed).random() + assert rval == rval_expected + + rval = self.instantiate_py_random_state(rng) + rval_expected = np.random.default_rng(seed).random(size=2)[1] + assert rval == rval_expected + # test that global seed wasn't changed in function + assert np_rv == np.random.random() + + def test_random_state_np_random_RandomState(self): + np.random.seed(42) + np_rv = np.random.random() + np.random.seed(42) + seed = 1 + + rng = np.random.RandomState(seed) + rval = self.instantiate_np_random_state(rng) + rval_expected = np.random.RandomState(seed).random() + assert rval == rval_expected + + rval = self.instantiate_py_random_state(rng) + rval_expected = np.random.RandomState(seed).random(size=2)[1] + assert rval == rval_expected + # test that global seed wasn't changed in function + assert np_rv == np.random.random() + + def test_random_state_py_random(self): + seed = 1 + rng = random.Random(seed) + rv = self.instantiate_py_random_state(rng) + assert rv == random.Random(seed).random() + + pytest.raises(ValueError, self.instantiate_np_random_state, rng) + + +def test_random_state_string_arg_index(): + with pytest.raises(nx.NetworkXError): + + @np_random_state("a") + def make_random_state(rs): + pass + + rstate = make_random_state(1) + + +def test_py_random_state_string_arg_index(): + with pytest.raises(nx.NetworkXError): + + @py_random_state("a") + def make_random_state(rs): + pass + + rstate = make_random_state(1) + + +def test_random_state_invalid_arg_index(): + with pytest.raises(nx.NetworkXError): + + @np_random_state(2) + def make_random_state(rs): + pass + + rstate = make_random_state(1) + + +def test_py_random_state_invalid_arg_index(): + with pytest.raises(nx.NetworkXError): + + @py_random_state(2) + def make_random_state(rs): + pass + + rstate = make_random_state(1) + + +class TestArgmap: + class ArgmapError(RuntimeError): + pass + + def test_trivial_function(self): + def do_not_call(x): + raise ArgmapError("do not call this function") + + @argmap(do_not_call) + def trivial_argmap(): + return 1 + + assert trivial_argmap() == 1 + + def test_trivial_iterator(self): + def do_not_call(x): + raise ArgmapError("do not call this function") + + @argmap(do_not_call) + def trivial_argmap(): + yield from (1, 2, 3) + + assert tuple(trivial_argmap()) == (1, 2, 3) + + def test_contextmanager(self): + container = [] + + def contextmanager(x): + nonlocal container + return x, lambda: container.append(x) + + @argmap(contextmanager, 0, 1, 2, try_finally=True) + def foo(x, y, z): + return x, y, z + + x, y, z = foo("a", "b", "c") + + # context exits are called in reverse + assert container == ["c", "b", "a"] + + def test_tryfinally_generator(self): + container = [] + + def singleton(x): + return (x,) + + with pytest.raises(nx.NetworkXError): + + @argmap(singleton, 0, 1, 2, try_finally=True) + def foo(x, y, z): + yield from (x, y, z) + + @argmap(singleton, 0, 1, 2) + def foo(x, y, z): + return x + y + z + + q = foo("a", "b", "c") + + assert q == ("a", "b", "c") + + def test_actual_vararg(self): + @argmap(lambda x: -x, 4) + def foo(x, y, *args): + return (x, y) + tuple(args) + + assert foo(1, 2, 3, 4, 5, 6) == (1, 2, 3, 4, -5, 6) + + def test_signature_destroying_intermediate_decorator(self): + def add_one_to_first_bad_decorator(f): + """Bad because it doesn't wrap the f signature (clobbers it)""" + + def decorated(a, *args, **kwargs): + return f(a + 1, *args, **kwargs) + + return decorated + + add_two_to_second = argmap(lambda b: b + 2, 1) + + @add_two_to_second + @add_one_to_first_bad_decorator + def add_one_and_two(a, b): + return a, b + + assert add_one_and_two(5, 5) == (6, 7) + + def test_actual_kwarg(self): + @argmap(lambda x: -x, "arg") + def foo(*, arg): + return arg + + assert foo(arg=3) == -3 + + def test_nested_tuple(self): + def xform(x, y): + u, v = y + return x + u + v, (x + u, x + v) + + # we're testing args and kwargs here, too + @argmap(xform, (0, ("t", 2))) + def foo(a, *args, **kwargs): + return a, args, kwargs + + a, args, kwargs = foo(1, 2, 3, t=4) + + assert a == 1 + 4 + 3 + assert args == (2, 1 + 3) + assert kwargs == {"t": 1 + 4} + + def test_flatten(self): + assert tuple(argmap._flatten([[[[[], []], [], []], [], [], []]], set())) == () + + rlist = ["a", ["b", "c"], [["d"], "e"], "f"] + assert "".join(argmap._flatten(rlist, set())) == "abcdef" + + def test_indent(self): + code = "\n".join( + argmap._indent( + *[ + "try:", + "try:", + "pass#", + "finally:", + "pass#", + "#", + "finally:", + "pass#", + ] + ) + ) + assert ( + code + == """try: + try: + pass# + finally: + pass# + # +finally: + pass#""" + ) + + def test_immediate_raise(self): + @not_implemented_for("directed") + def yield_nodes(G): + yield from G + + G = nx.Graph([(1, 2)]) + D = nx.DiGraph() + + # test first call (argmap is compiled and executed) + with pytest.raises(nx.NetworkXNotImplemented): + node_iter = yield_nodes(D) + + # test second call (argmap is only executed) + with pytest.raises(nx.NetworkXNotImplemented): + node_iter = yield_nodes(D) + + # ensure that generators still make generators + node_iter = yield_nodes(G) + next(node_iter) + next(node_iter) + with pytest.raises(StopIteration): + next(node_iter) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_heaps.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_heaps.py new file mode 100644 index 0000000000000000000000000000000000000000..5ea3871638688ed466b72bf3c99c977913a503dc --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_heaps.py @@ -0,0 +1,131 @@ +import pytest + +import networkx as nx +from networkx.utils import BinaryHeap, PairingHeap + + +class X: + def __eq__(self, other): + raise self is other + + def __ne__(self, other): + raise self is not other + + def __lt__(self, other): + raise TypeError("cannot compare") + + def __le__(self, other): + raise TypeError("cannot compare") + + def __ge__(self, other): + raise TypeError("cannot compare") + + def __gt__(self, other): + raise TypeError("cannot compare") + + def __hash__(self): + return hash(id(self)) + + +x = X() + + +data = [ # min should not invent an element. + ("min", nx.NetworkXError), + # Popping an empty heap should fail. + ("pop", nx.NetworkXError), + # Getting nonexisting elements should return None. + ("get", 0, None), + ("get", x, None), + ("get", None, None), + # Inserting a new key should succeed. + ("insert", x, 1, True), + ("get", x, 1), + ("min", (x, 1)), + # min should not pop the top element. + ("min", (x, 1)), + # Inserting a new key of different type should succeed. + ("insert", 1, -2.0, True), + # int and float values should interop. + ("min", (1, -2.0)), + # pop removes minimum-valued element. + ("insert", 3, -(10**100), True), + ("insert", 4, 5, True), + ("pop", (3, -(10**100))), + ("pop", (1, -2.0)), + # Decrease-insert should succeed. + ("insert", 4, -50, True), + ("insert", 4, -60, False, True), + # Decrease-insert should not create duplicate keys. + ("pop", (4, -60)), + ("pop", (x, 1)), + # Popping all elements should empty the heap. + ("min", nx.NetworkXError), + ("pop", nx.NetworkXError), + # Non-value-changing insert should fail. + ("insert", x, 0, True), + ("insert", x, 0, False, False), + ("min", (x, 0)), + ("insert", x, 0, True, False), + ("min", (x, 0)), + # Failed insert should not create duplicate keys. + ("pop", (x, 0)), + ("pop", nx.NetworkXError), + # Increase-insert should succeed when allowed. + ("insert", None, 0, True), + ("insert", 2, -1, True), + ("min", (2, -1)), + ("insert", 2, 1, True, False), + ("min", (None, 0)), + # Increase-insert should fail when disallowed. + ("insert", None, 2, False, False), + ("min", (None, 0)), + # Failed increase-insert should not create duplicate keys. + ("pop", (None, 0)), + ("pop", (2, 1)), + ("min", nx.NetworkXError), + ("pop", nx.NetworkXError), +] + + +def _test_heap_class(cls, *args, **kwargs): + heap = cls(*args, **kwargs) + # Basic behavioral test + for op in data: + if op[-1] is not nx.NetworkXError: + assert op[-1] == getattr(heap, op[0])(*op[1:-1]) + else: + pytest.raises(op[-1], getattr(heap, op[0]), *op[1:-1]) + # Coverage test. + for i in range(99, -1, -1): + assert heap.insert(i, i) + for i in range(50): + assert heap.pop() == (i, i) + for i in range(100): + assert heap.insert(i, i) == (i < 50) + for i in range(100): + assert not heap.insert(i, i + 1) + for i in range(50): + assert heap.pop() == (i, i) + for i in range(100): + assert heap.insert(i, i + 1) == (i < 50) + for i in range(49): + assert heap.pop() == (i, i + 1) + assert sorted([heap.pop(), heap.pop()]) == [(49, 50), (50, 50)] + for i in range(51, 100): + assert not heap.insert(i, i + 1, True) + for i in range(51, 70): + assert heap.pop() == (i, i + 1) + for i in range(100): + assert heap.insert(i, i) + for i in range(100): + assert heap.pop() == (i, i) + pytest.raises(nx.NetworkXError, heap.pop) + + +def test_PairingHeap(): + _test_heap_class(PairingHeap) + + +def test_BinaryHeap(): + _test_heap_class(BinaryHeap) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_mapped_queue.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_mapped_queue.py new file mode 100644 index 0000000000000000000000000000000000000000..ca9b7e42072f5aebbf4b794302d06f21f5d8e17c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_mapped_queue.py @@ -0,0 +1,268 @@ +import pytest + +from networkx.utils.mapped_queue import MappedQueue, _HeapElement + + +def test_HeapElement_gtlt(): + bar = _HeapElement(1.1, "a") + foo = _HeapElement(1, "b") + assert foo < bar + assert bar > foo + assert foo < 1.1 + assert 1 < bar + + +def test_HeapElement_gtlt_tied_priority(): + bar = _HeapElement(1, "a") + foo = _HeapElement(1, "b") + assert foo > bar + assert bar < foo + + +def test_HeapElement_eq(): + bar = _HeapElement(1.1, "a") + foo = _HeapElement(1, "a") + assert foo == bar + assert bar == foo + assert foo == "a" + + +def test_HeapElement_iter(): + foo = _HeapElement(1, "a") + bar = _HeapElement(1.1, (3, 2, 1)) + assert list(foo) == [1, "a"] + assert list(bar) == [1.1, 3, 2, 1] + + +def test_HeapElement_getitem(): + foo = _HeapElement(1, "a") + bar = _HeapElement(1.1, (3, 2, 1)) + assert foo[1] == "a" + assert foo[0] == 1 + assert bar[0] == 1.1 + assert bar[2] == 2 + assert bar[3] == 1 + pytest.raises(IndexError, bar.__getitem__, 4) + pytest.raises(IndexError, foo.__getitem__, 2) + + +class TestMappedQueue: + def setup_method(self): + pass + + def _check_map(self, q): + assert q.position == {elt: pos for pos, elt in enumerate(q.heap)} + + def _make_mapped_queue(self, h): + q = MappedQueue() + q.heap = h + q.position = {elt: pos for pos, elt in enumerate(h)} + return q + + def test_heapify(self): + h = [5, 4, 3, 2, 1, 0] + q = self._make_mapped_queue(h) + q._heapify() + self._check_map(q) + + def test_init(self): + h = [5, 4, 3, 2, 1, 0] + q = MappedQueue(h) + self._check_map(q) + + def test_incomparable(self): + h = [5, 4, "a", 2, 1, 0] + pytest.raises(TypeError, MappedQueue, h) + + def test_len(self): + h = [5, 4, 3, 2, 1, 0] + q = MappedQueue(h) + self._check_map(q) + assert len(q) == 6 + + def test_siftup_leaf(self): + h = [2] + h_sifted = [2] + q = self._make_mapped_queue(h) + q._siftup(0) + assert q.heap == h_sifted + self._check_map(q) + + def test_siftup_one_child(self): + h = [2, 0] + h_sifted = [0, 2] + q = self._make_mapped_queue(h) + q._siftup(0) + assert q.heap == h_sifted + self._check_map(q) + + def test_siftup_left_child(self): + h = [2, 0, 1] + h_sifted = [0, 2, 1] + q = self._make_mapped_queue(h) + q._siftup(0) + assert q.heap == h_sifted + self._check_map(q) + + def test_siftup_right_child(self): + h = [2, 1, 0] + h_sifted = [0, 1, 2] + q = self._make_mapped_queue(h) + q._siftup(0) + assert q.heap == h_sifted + self._check_map(q) + + def test_siftup_multiple(self): + h = [0, 1, 2, 4, 3, 5, 6] + h_sifted = [0, 1, 2, 4, 3, 5, 6] + q = self._make_mapped_queue(h) + q._siftup(0) + assert q.heap == h_sifted + self._check_map(q) + + def test_siftdown_leaf(self): + h = [2] + h_sifted = [2] + q = self._make_mapped_queue(h) + q._siftdown(0, 0) + assert q.heap == h_sifted + self._check_map(q) + + def test_siftdown_single(self): + h = [1, 0] + h_sifted = [0, 1] + q = self._make_mapped_queue(h) + q._siftdown(0, len(h) - 1) + assert q.heap == h_sifted + self._check_map(q) + + def test_siftdown_multiple(self): + h = [1, 2, 3, 4, 5, 6, 7, 0] + h_sifted = [0, 1, 3, 2, 5, 6, 7, 4] + q = self._make_mapped_queue(h) + q._siftdown(0, len(h) - 1) + assert q.heap == h_sifted + self._check_map(q) + + def test_push(self): + to_push = [6, 1, 4, 3, 2, 5, 0] + h_sifted = [0, 2, 1, 6, 3, 5, 4] + q = MappedQueue() + for elt in to_push: + q.push(elt) + assert q.heap == h_sifted + self._check_map(q) + + def test_push_duplicate(self): + to_push = [2, 1, 0] + h_sifted = [0, 2, 1] + q = MappedQueue() + for elt in to_push: + inserted = q.push(elt) + assert inserted + assert q.heap == h_sifted + self._check_map(q) + inserted = q.push(1) + assert not inserted + + def test_pop(self): + h = [3, 4, 6, 0, 1, 2, 5] + h_sorted = sorted(h) + q = self._make_mapped_queue(h) + q._heapify() + popped = [q.pop() for _ in range(len(h))] + assert popped == h_sorted + self._check_map(q) + + def test_remove_leaf(self): + h = [0, 2, 1, 6, 3, 5, 4] + h_removed = [0, 2, 1, 6, 4, 5] + q = self._make_mapped_queue(h) + removed = q.remove(3) + assert q.heap == h_removed + + def test_remove_root(self): + h = [0, 2, 1, 6, 3, 5, 4] + h_removed = [1, 2, 4, 6, 3, 5] + q = self._make_mapped_queue(h) + removed = q.remove(0) + assert q.heap == h_removed + + def test_update_leaf(self): + h = [0, 20, 10, 60, 30, 50, 40] + h_updated = [0, 15, 10, 60, 20, 50, 40] + q = self._make_mapped_queue(h) + removed = q.update(30, 15) + assert q.heap == h_updated + + def test_update_root(self): + h = [0, 20, 10, 60, 30, 50, 40] + h_updated = [10, 20, 35, 60, 30, 50, 40] + q = self._make_mapped_queue(h) + removed = q.update(0, 35) + assert q.heap == h_updated + + +class TestMappedDict(TestMappedQueue): + def _make_mapped_queue(self, h): + priority_dict = {elt: elt for elt in h} + return MappedQueue(priority_dict) + + def test_init(self): + d = {5: 0, 4: 1, "a": 2, 2: 3, 1: 4} + q = MappedQueue(d) + assert q.position == d + + def test_ties(self): + d = {5: 0, 4: 1, 3: 2, 2: 3, 1: 4} + q = MappedQueue(d) + assert q.position == {elt: pos for pos, elt in enumerate(q.heap)} + + def test_pop(self): + d = {5: 0, 4: 1, 3: 2, 2: 3, 1: 4} + q = MappedQueue(d) + assert q.pop() == _HeapElement(0, 5) + assert q.position == {elt: pos for pos, elt in enumerate(q.heap)} + + def test_empty_pop(self): + q = MappedQueue() + pytest.raises(IndexError, q.pop) + + def test_incomparable_ties(self): + d = {5: 0, 4: 0, "a": 0, 2: 0, 1: 0} + pytest.raises(TypeError, MappedQueue, d) + + def test_push(self): + to_push = [6, 1, 4, 3, 2, 5, 0] + h_sifted = [0, 2, 1, 6, 3, 5, 4] + q = MappedQueue() + for elt in to_push: + q.push(elt, priority=elt) + assert q.heap == h_sifted + self._check_map(q) + + def test_push_duplicate(self): + to_push = [2, 1, 0] + h_sifted = [0, 2, 1] + q = MappedQueue() + for elt in to_push: + inserted = q.push(elt, priority=elt) + assert inserted + assert q.heap == h_sifted + self._check_map(q) + inserted = q.push(1, priority=1) + assert not inserted + + def test_update_leaf(self): + h = [0, 20, 10, 60, 30, 50, 40] + h_updated = [0, 15, 10, 60, 20, 50, 40] + q = self._make_mapped_queue(h) + removed = q.update(30, 15, priority=15) + assert q.heap == h_updated + + def test_update_root(self): + h = [0, 20, 10, 60, 30, 50, 40] + h_updated = [10, 20, 35, 60, 30, 50, 40] + q = self._make_mapped_queue(h) + removed = q.update(0, 35, priority=35) + assert q.heap == h_updated diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_misc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_misc.py new file mode 100644 index 0000000000000000000000000000000000000000..eff36b2a2f3c9d91adf17786ea3039ee90a3482b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_misc.py @@ -0,0 +1,268 @@ +import random +from copy import copy + +import pytest + +import networkx as nx +from networkx.utils import ( + PythonRandomInterface, + PythonRandomViaNumpyBits, + arbitrary_element, + create_py_random_state, + create_random_state, + dict_to_numpy_array, + discrete_sequence, + flatten, + groups, + make_list_of_ints, + pairwise, + powerlaw_sequence, +) +from networkx.utils.misc import _dict_to_numpy_array1, _dict_to_numpy_array2 + +nested_depth = ( + 1, + 2, + (3, 4, ((5, 6, (7,), (8, (9, 10), 11), (12, 13, (14, 15)), 16), 17), 18, 19), + 20, +) + +nested_set = { + (1, 2, 3, 4), + (5, 6, 7, 8, 9), + (10, 11, (12, 13, 14), (15, 16, 17, 18)), + 19, + 20, +} + +nested_mixed = [ + 1, + (2, 3, {4, (5, 6), 7}, [8, 9]), + {10: "foo", 11: "bar", (12, 13): "baz"}, + {(14, 15): "qwe", 16: "asd"}, + (17, (18, "19"), 20), +] + + +@pytest.mark.parametrize("result", [None, [], ["existing"], ["existing1", "existing2"]]) +@pytest.mark.parametrize("nested", [nested_depth, nested_mixed, nested_set]) +def test_flatten(nested, result): + if result is None: + val = flatten(nested, result) + assert len(val) == 20 + else: + _result = copy(result) # because pytest passes parameters as is + nexisting = len(_result) + val = flatten(nested, _result) + assert len(val) == len(_result) == 20 + nexisting + + assert issubclass(type(val), tuple) + + +def test_make_list_of_ints(): + mylist = [1, 2, 3.0, 42, -2] + assert make_list_of_ints(mylist) is mylist + assert make_list_of_ints(mylist) == mylist + assert type(make_list_of_ints(mylist)[2]) is int + pytest.raises(nx.NetworkXError, make_list_of_ints, [1, 2, 3, "kermit"]) + pytest.raises(nx.NetworkXError, make_list_of_ints, [1, 2, 3.1]) + + +def test_random_number_distribution(): + # smoke test only + z = powerlaw_sequence(20, exponent=2.5) + z = discrete_sequence(20, distribution=[0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3]) + + +class TestNumpyArray: + @classmethod + def setup_class(cls): + global np + np = pytest.importorskip("numpy") + + def test_numpy_to_list_of_ints(self): + a = np.array([1, 2, 3], dtype=np.int64) + b = np.array([1.0, 2, 3]) + c = np.array([1.1, 2, 3]) + assert type(make_list_of_ints(a)) == list + assert make_list_of_ints(b) == list(b) + B = make_list_of_ints(b) + assert type(B[0]) == int + pytest.raises(nx.NetworkXError, make_list_of_ints, c) + + def test__dict_to_numpy_array1(self): + d = {"a": 1, "b": 2} + a = _dict_to_numpy_array1(d, mapping={"a": 0, "b": 1}) + np.testing.assert_allclose(a, np.array([1, 2])) + a = _dict_to_numpy_array1(d, mapping={"b": 0, "a": 1}) + np.testing.assert_allclose(a, np.array([2, 1])) + + a = _dict_to_numpy_array1(d) + np.testing.assert_allclose(a.sum(), 3) + + def test__dict_to_numpy_array2(self): + d = {"a": {"a": 1, "b": 2}, "b": {"a": 10, "b": 20}} + + mapping = {"a": 1, "b": 0} + a = _dict_to_numpy_array2(d, mapping=mapping) + np.testing.assert_allclose(a, np.array([[20, 10], [2, 1]])) + + a = _dict_to_numpy_array2(d) + np.testing.assert_allclose(a.sum(), 33) + + def test_dict_to_numpy_array_a(self): + d = {"a": {"a": 1, "b": 2}, "b": {"a": 10, "b": 20}} + + mapping = {"a": 0, "b": 1} + a = dict_to_numpy_array(d, mapping=mapping) + np.testing.assert_allclose(a, np.array([[1, 2], [10, 20]])) + + mapping = {"a": 1, "b": 0} + a = dict_to_numpy_array(d, mapping=mapping) + np.testing.assert_allclose(a, np.array([[20, 10], [2, 1]])) + + a = _dict_to_numpy_array2(d) + np.testing.assert_allclose(a.sum(), 33) + + def test_dict_to_numpy_array_b(self): + d = {"a": 1, "b": 2} + + mapping = {"a": 0, "b": 1} + a = dict_to_numpy_array(d, mapping=mapping) + np.testing.assert_allclose(a, np.array([1, 2])) + + a = _dict_to_numpy_array1(d) + np.testing.assert_allclose(a.sum(), 3) + + +def test_pairwise(): + nodes = range(4) + node_pairs = [(0, 1), (1, 2), (2, 3)] + node_pairs_cycle = node_pairs + [(3, 0)] + assert list(pairwise(nodes)) == node_pairs + assert list(pairwise(iter(nodes))) == node_pairs + assert list(pairwise(nodes, cyclic=True)) == node_pairs_cycle + empty_iter = iter(()) + assert list(pairwise(empty_iter)) == [] + empty_iter = iter(()) + assert list(pairwise(empty_iter, cyclic=True)) == [] + + +def test_groups(): + many_to_one = dict(zip("abcde", [0, 0, 1, 1, 2])) + actual = groups(many_to_one) + expected = {0: {"a", "b"}, 1: {"c", "d"}, 2: {"e"}} + assert actual == expected + assert {} == groups({}) + + +def test_create_random_state(): + np = pytest.importorskip("numpy") + rs = np.random.RandomState + + assert isinstance(create_random_state(1), rs) + assert isinstance(create_random_state(None), rs) + assert isinstance(create_random_state(np.random), rs) + assert isinstance(create_random_state(rs(1)), rs) + # Support for numpy.random.Generator + rng = np.random.default_rng() + assert isinstance(create_random_state(rng), np.random.Generator) + pytest.raises(ValueError, create_random_state, "a") + + assert np.all(rs(1).rand(10) == create_random_state(1).rand(10)) + + +def test_create_py_random_state(): + pyrs = random.Random + + assert isinstance(create_py_random_state(1), pyrs) + assert isinstance(create_py_random_state(None), pyrs) + assert isinstance(create_py_random_state(pyrs(1)), pyrs) + pytest.raises(ValueError, create_py_random_state, "a") + + np = pytest.importorskip("numpy") + + rs = np.random.RandomState + rng = np.random.default_rng(1000) + rng_explicit = np.random.Generator(np.random.SFC64()) + old_nprs = PythonRandomInterface + nprs = PythonRandomViaNumpyBits + assert isinstance(create_py_random_state(np.random), nprs) + assert isinstance(create_py_random_state(rs(1)), old_nprs) + assert isinstance(create_py_random_state(rng), nprs) + assert isinstance(create_py_random_state(rng_explicit), nprs) + # test default rng input + assert isinstance(PythonRandomInterface(), old_nprs) + assert isinstance(PythonRandomViaNumpyBits(), nprs) + + # VeryLargeIntegers Smoke test (they raise error for np.random) + int64max = 9223372036854775807 # from np.iinfo(np.int64).max + for r in (rng, rs(1)): + prs = create_py_random_state(r) + prs.randrange(3, int64max + 5) + prs.randint(3, int64max + 5) + + +def test_PythonRandomInterface_RandomState(): + np = pytest.importorskip("numpy") + + seed = 42 + rs = np.random.RandomState + rng = PythonRandomInterface(rs(seed)) + rs42 = rs(seed) + + # make sure these functions are same as expected outcome + assert rng.randrange(3, 5) == rs42.randint(3, 5) + assert rng.choice([1, 2, 3]) == rs42.choice([1, 2, 3]) + assert rng.gauss(0, 1) == rs42.normal(0, 1) + assert rng.expovariate(1.5) == rs42.exponential(1 / 1.5) + assert np.all(rng.shuffle([1, 2, 3]) == rs42.shuffle([1, 2, 3])) + assert np.all( + rng.sample([1, 2, 3], 2) == rs42.choice([1, 2, 3], (2,), replace=False) + ) + assert np.all( + [rng.randint(3, 5) for _ in range(100)] + == [rs42.randint(3, 6) for _ in range(100)] + ) + assert rng.random() == rs42.random_sample() + + +def test_PythonRandomInterface_Generator(): + np = pytest.importorskip("numpy") + + seed = 42 + rng = np.random.default_rng(seed) + pri = PythonRandomInterface(np.random.default_rng(seed)) + + # make sure these functions are same as expected outcome + assert pri.randrange(3, 5) == rng.integers(3, 5) + assert pri.choice([1, 2, 3]) == rng.choice([1, 2, 3]) + assert pri.gauss(0, 1) == rng.normal(0, 1) + assert pri.expovariate(1.5) == rng.exponential(1 / 1.5) + assert np.all(pri.shuffle([1, 2, 3]) == rng.shuffle([1, 2, 3])) + assert np.all( + pri.sample([1, 2, 3], 2) == rng.choice([1, 2, 3], (2,), replace=False) + ) + assert np.all( + [pri.randint(3, 5) for _ in range(100)] + == [rng.integers(3, 6) for _ in range(100)] + ) + assert pri.random() == rng.random() + + +@pytest.mark.parametrize( + ("iterable_type", "expected"), ((list, 1), (tuple, 1), (str, "["), (set, 1)) +) +def test_arbitrary_element(iterable_type, expected): + iterable = iterable_type([1, 2, 3]) + assert arbitrary_element(iterable) == expected + + +@pytest.mark.parametrize( + "iterator", + ((i for i in range(3)), iter([1, 2, 3])), # generator +) +def test_arbitrary_element_raises(iterator): + """Value error is raised when input is an iterator.""" + with pytest.raises(ValueError, match="from an iterator"): + arbitrary_element(iterator) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_random_sequence.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_random_sequence.py new file mode 100644 index 0000000000000000000000000000000000000000..1d1b95799f75aa668801a5af482bee36fdb8d837 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_random_sequence.py @@ -0,0 +1,38 @@ +import pytest + +from networkx.utils import ( + powerlaw_sequence, + random_weighted_sample, + weighted_choice, + zipf_rv, +) + + +def test_degree_sequences(): + seq = powerlaw_sequence(10, seed=1) + seq = powerlaw_sequence(10) + assert len(seq) == 10 + + +def test_zipf_rv(): + r = zipf_rv(2.3, xmin=2, seed=1) + r = zipf_rv(2.3, 2, 1) + r = zipf_rv(2.3) + assert type(r), int + pytest.raises(ValueError, zipf_rv, 0.5) + pytest.raises(ValueError, zipf_rv, 2, xmin=0) + + +def test_random_weighted_sample(): + mapping = {"a": 10, "b": 20} + s = random_weighted_sample(mapping, 2, seed=1) + s = random_weighted_sample(mapping, 2) + assert sorted(s) == sorted(mapping.keys()) + pytest.raises(ValueError, random_weighted_sample, mapping, 3) + + +def test_random_weighted_choice(): + mapping = {"a": 10, "b": 0} + c = weighted_choice(mapping, seed=1) + c = weighted_choice(mapping) + assert c == "a" diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_rcm.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_rcm.py new file mode 100644 index 0000000000000000000000000000000000000000..88702b3635dfa173f27eb283bc769d0930918e62 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_rcm.py @@ -0,0 +1,63 @@ +import networkx as nx +from networkx.utils import reverse_cuthill_mckee_ordering + + +def test_reverse_cuthill_mckee(): + # example graph from + # http://www.boost.org/doc/libs/1_37_0/libs/graph/example/cuthill_mckee_ordering.cpp + G = nx.Graph( + [ + (0, 3), + (0, 5), + (1, 2), + (1, 4), + (1, 6), + (1, 9), + (2, 3), + (2, 4), + (3, 5), + (3, 8), + (4, 6), + (5, 6), + (5, 7), + (6, 7), + ] + ) + rcm = list(reverse_cuthill_mckee_ordering(G)) + assert rcm in [[0, 8, 5, 7, 3, 6, 2, 4, 1, 9], [0, 8, 5, 7, 3, 6, 4, 2, 1, 9]] + + +def test_rcm_alternate_heuristic(): + # example from + G = nx.Graph( + [ + (0, 0), + (0, 4), + (1, 1), + (1, 2), + (1, 5), + (1, 7), + (2, 2), + (2, 4), + (3, 3), + (3, 6), + (4, 4), + (5, 5), + (5, 7), + (6, 6), + (7, 7), + ] + ) + + answers = [ + [6, 3, 5, 7, 1, 2, 4, 0], + [6, 3, 7, 5, 1, 2, 4, 0], + [7, 5, 1, 2, 4, 0, 6, 3], + ] + + def smallest_degree(G): + deg, node = min((d, n) for n, d in G.degree()) + return node + + rcm = list(reverse_cuthill_mckee_ordering(G, heuristic=smallest_degree)) + assert rcm in answers diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_unionfind.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_unionfind.py new file mode 100644 index 0000000000000000000000000000000000000000..2d30580fc942e3715f2a6a25125bad9f9e1e74b6 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/tests/test_unionfind.py @@ -0,0 +1,55 @@ +import networkx as nx + + +def test_unionfind(): + # Fixed by: 2cddd5958689bdecdcd89b91ac9aaf6ce0e4f6b8 + # Previously (in 2.x), the UnionFind class could handle mixed types. + # But in Python 3.x, this causes a TypeError such as: + # TypeError: unorderable types: str() > int() + # + # Now we just make sure that no exception is raised. + x = nx.utils.UnionFind() + x.union(0, "a") + + +def test_subtree_union(): + # See https://github.com/networkx/networkx/pull/3224 + # (35db1b551ee65780794a357794f521d8768d5049). + # Test if subtree unions hare handled correctly by to_sets(). + uf = nx.utils.UnionFind() + uf.union(1, 2) + uf.union(3, 4) + uf.union(4, 5) + uf.union(1, 5) + assert list(uf.to_sets()) == [{1, 2, 3, 4, 5}] + + +def test_unionfind_weights(): + # Tests if weights are computed correctly with unions of many elements + uf = nx.utils.UnionFind() + uf.union(1, 4, 7) + uf.union(2, 5, 8) + uf.union(3, 6, 9) + uf.union(1, 2, 3, 4, 5, 6, 7, 8, 9) + assert uf.weights[uf[1]] == 9 + + +def test_unbalanced_merge_weights(): + # Tests if the largest set's root is used as the new root when merging + uf = nx.utils.UnionFind() + uf.union(1, 2, 3) + uf.union(4, 5, 6, 7, 8, 9) + assert uf.weights[uf[1]] == 3 + assert uf.weights[uf[4]] == 6 + largest_root = uf[4] + uf.union(1, 4) + assert uf[1] == largest_root + assert uf.weights[largest_root] == 9 + + +def test_empty_union(): + # Tests if a null-union does nothing. + uf = nx.utils.UnionFind((0, 1)) + uf.union() + assert uf[0] == 0 + assert uf[1] == 1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/union_find.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/union_find.py new file mode 100644 index 0000000000000000000000000000000000000000..2a07129f5427cd8a3caf30095efee125bc3d853b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/networkx/utils/union_find.py @@ -0,0 +1,106 @@ +""" +Union-find data structure. +""" + +from networkx.utils import groups + + +class UnionFind: + """Union-find data structure. + + Each unionFind instance X maintains a family of disjoint sets of + hashable objects, supporting the following two methods: + + - X[item] returns a name for the set containing the given item. + Each set is named by an arbitrarily-chosen one of its members; as + long as the set remains unchanged it will keep the same name. If + the item is not yet part of a set in X, a new singleton set is + created for it. + + - X.union(item1, item2, ...) merges the sets containing each item + into a single larger set. If any item is not yet part of a set + in X, it is added to X as one of the members of the merged set. + + Union-find data structure. Based on Josiah Carlson's code, + https://code.activestate.com/recipes/215912/ + with significant additional changes by D. Eppstein. + http://www.ics.uci.edu/~eppstein/PADS/UnionFind.py + + """ + + def __init__(self, elements=None): + """Create a new empty union-find structure. + + If *elements* is an iterable, this structure will be initialized + with the discrete partition on the given set of elements. + + """ + if elements is None: + elements = () + self.parents = {} + self.weights = {} + for x in elements: + self.weights[x] = 1 + self.parents[x] = x + + def __getitem__(self, object): + """Find and return the name of the set containing the object.""" + + # check for previously unknown object + if object not in self.parents: + self.parents[object] = object + self.weights[object] = 1 + return object + + # find path of objects leading to the root + path = [] + root = self.parents[object] + while root != object: + path.append(object) + object = root + root = self.parents[object] + + # compress the path and return + for ancestor in path: + self.parents[ancestor] = root + return root + + def __iter__(self): + """Iterate through all items ever found or unioned by this structure.""" + return iter(self.parents) + + def to_sets(self): + """Iterates over the sets stored in this structure. + + For example:: + + >>> partition = UnionFind("xyz") + >>> sorted(map(sorted, partition.to_sets())) + [['x'], ['y'], ['z']] + >>> partition.union("x", "y") + >>> sorted(map(sorted, partition.to_sets())) + [['x', 'y'], ['z']] + + """ + # Ensure fully pruned paths + for x in self.parents: + _ = self[x] # Evaluated for side-effect only + + yield from groups(self.parents).values() + + def union(self, *objects): + """Find the sets containing the objects and merge them all.""" + # Find the heaviest root according to its weight. + roots = iter( + sorted( + {self[x] for x in objects}, key=lambda r: self.weights[r], reverse=True + ) + ) + try: + root = next(roots) + except StopIteration: + return + + for r in roots: + self.weights[root] += self.weights[r] + self.parents[r] = root diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__config__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__config__.py new file mode 100644 index 0000000000000000000000000000000000000000..89579d174540d86cd8cfa27fcbf672d6a39c8f82 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__config__.py @@ -0,0 +1,170 @@ +# This file is generated by numpy's build process +# It contains system_info results at the time of building this package. +from enum import Enum +from numpy._core._multiarray_umath import ( + __cpu_features__, + __cpu_baseline__, + __cpu_dispatch__, +) + +__all__ = ["show_config"] +_built_with_meson = True + + +class DisplayModes(Enum): + stdout = "stdout" + dicts = "dicts" + + +def _cleanup(d): + """ + Removes empty values in a `dict` recursively + This ensures we remove values that Meson could not provide to CONFIG + """ + if isinstance(d, dict): + return {k: _cleanup(v) for k, v in d.items() if v and _cleanup(v)} + else: + return d + + +CONFIG = _cleanup( + { + "Compilers": { + "c": { + "name": "gcc", + "linker": r"ld.bfd", + "version": "10.2.1", + "commands": r"cc", + "args": r"", + "linker args": r"", + }, + "cython": { + "name": "cython", + "linker": r"cython", + "version": "3.1.0", + "commands": r"cython", + "args": r"", + "linker args": r"", + }, + "c++": { + "name": "gcc", + "linker": r"ld.bfd", + "version": "10.2.1", + "commands": r"c++", + "args": r"", + "linker args": r"", + }, + }, + "Machine Information": { + "host": { + "cpu": "x86_64", + "family": "x86_64", + "endian": "little", + "system": "linux", + }, + "build": { + "cpu": "x86_64", + "family": "x86_64", + "endian": "little", + "system": "linux", + }, + "cross-compiled": bool("False".lower().replace("false", "")), + }, + "Build Dependencies": { + "blas": { + "name": "scipy-openblas", + "found": bool("True".lower().replace("false", "")), + "version": "0.3.29", + "detection method": "pkgconfig", + "include directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/include", + "lib directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/lib", + "openblas configuration": r"OpenBLAS 0.3.29 USE64BITINT DYNAMIC_ARCH NO_AFFINITY Haswell MAX_THREADS=64", + "pc file directory": r"/project/.openblas", + }, + "lapack": { + "name": "scipy-openblas", + "found": bool("True".lower().replace("false", "")), + "version": "0.3.29", + "detection method": "pkgconfig", + "include directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/include", + "lib directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/lib", + "openblas configuration": r"OpenBLAS 0.3.29 USE64BITINT DYNAMIC_ARCH NO_AFFINITY Haswell MAX_THREADS=64", + "pc file directory": r"/project/.openblas", + }, + }, + "Python Information": { + "path": r"/tmp/build-env-a8ncef9o/bin/python", + "version": "3.10", + }, + "SIMD Extensions": { + "baseline": __cpu_baseline__, + "found": [ + feature for feature in __cpu_dispatch__ if __cpu_features__[feature] + ], + "not found": [ + feature for feature in __cpu_dispatch__ if not __cpu_features__[feature] + ], + }, + } +) + + +def _check_pyyaml(): + import yaml + + return yaml + + +def show(mode=DisplayModes.stdout.value): + """ + Show libraries and system information on which NumPy was built + and is being used + + Parameters + ---------- + mode : {`'stdout'`, `'dicts'`}, optional. + Indicates how to display the config information. + `'stdout'` prints to console, `'dicts'` returns a dictionary + of the configuration. + + Returns + ------- + out : {`dict`, `None`} + If mode is `'dicts'`, a dict is returned, else None + + See Also + -------- + get_include : Returns the directory containing NumPy C + header files. + + Notes + ----- + 1. The `'stdout'` mode will give more readable + output if ``pyyaml`` is installed + + """ + if mode == DisplayModes.stdout.value: + try: # Non-standard library, check import + yaml = _check_pyyaml() + + print(yaml.dump(CONFIG)) + except ModuleNotFoundError: + import warnings + import json + + warnings.warn("Install `pyyaml` for better output", stacklevel=1) + print(json.dumps(CONFIG, indent=2)) + elif mode == DisplayModes.dicts.value: + return CONFIG + else: + raise AttributeError( + f"Invalid `mode`, use one of: {', '.join([e.value for e in DisplayModes])}" + ) + + +def show_config(mode=DisplayModes.stdout.value): + return show(mode) + + +show_config.__doc__ = show.__doc__ +show_config.__module__ = "numpy" diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__config__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__config__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..bd01228a1cc85745bc08842c96c518621e4160c6 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__config__.pyi @@ -0,0 +1,102 @@ +from enum import Enum +from types import ModuleType +from typing import Final, Literal as L, TypedDict, overload, type_check_only +from typing_extensions import NotRequired + +_CompilerConfigDictValue = TypedDict( + "_CompilerConfigDictValue", + { + "name": str, + "linker": str, + "version": str, + "commands": str, + "args": str, + "linker args": str, + }, +) +_CompilerConfigDict = TypedDict( + "_CompilerConfigDict", + { + "c": _CompilerConfigDictValue, + "cython": _CompilerConfigDictValue, + "c++": _CompilerConfigDictValue, + }, +) +_MachineInformationDict = TypedDict( + "_MachineInformationDict", + { + "host":_MachineInformationDictValue, + "build": _MachineInformationDictValue, + "cross-compiled": NotRequired[L[True]], + }, +) + +@type_check_only +class _MachineInformationDictValue(TypedDict): + cpu: str + family: str + endian: L["little", "big"] + system: str + +_BuildDependenciesDictValue = TypedDict( + "_BuildDependenciesDictValue", + { + "name": str, + "found": NotRequired[L[True]], + "version": str, + "include directory": str, + "lib directory": str, + "openblas configuration": str, + "pc file directory": str, + }, +) + +class _BuildDependenciesDict(TypedDict): + blas: _BuildDependenciesDictValue + lapack: _BuildDependenciesDictValue + +class _PythonInformationDict(TypedDict): + path: str + version: str + +_SIMDExtensionsDict = TypedDict( + "_SIMDExtensionsDict", + { + "baseline": list[str], + "found": list[str], + "not found": list[str], + }, +) + +_ConfigDict = TypedDict( + "_ConfigDict", + { + "Compilers": _CompilerConfigDict, + "Machine Information": _MachineInformationDict, + "Build Dependencies": _BuildDependenciesDict, + "Python Information": _PythonInformationDict, + "SIMD Extensions": _SIMDExtensionsDict, + }, +) + +### + +__all__ = ["show_config"] + +CONFIG: Final[_ConfigDict] = ... + +class DisplayModes(Enum): + stdout = "stdout" + dicts = "dicts" + +def _check_pyyaml() -> ModuleType: ... + +@overload +def show(mode: L["stdout"] = "stdout") -> None: ... +@overload +def show(mode: L["dicts"]) -> _ConfigDict: ... + +@overload +def show_config(mode: L["stdout"] = "stdout") -> None: ... +@overload +def show_config(mode: L["dicts"]) -> _ConfigDict: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.cython-30.pxd b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.cython-30.pxd new file mode 100644 index 0000000000000000000000000000000000000000..0728aad4829f01f8277545facb2f2cfd0cfcc18e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.cython-30.pxd @@ -0,0 +1,1250 @@ +# NumPy static imports for Cython >= 3.0 +# +# If any of the PyArray_* functions are called, import_array must be +# called first. This is done automatically by Cython 3.0+ if a call +# is not detected inside of the module. +# +# Author: Dag Sverre Seljebotn +# + +from cpython.ref cimport Py_INCREF +from cpython.object cimport PyObject, PyTypeObject, PyObject_TypeCheck +cimport libc.stdio as stdio + + +cdef extern from *: + # Leave a marker that the NumPy declarations came from NumPy itself and not from Cython. + # See https://github.com/cython/cython/issues/3573 + """ + /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */ + """ + + +cdef extern from "numpy/arrayobject.h": + # It would be nice to use size_t and ssize_t, but ssize_t has special + # implicit conversion rules, so just use "long". + # Note: The actual type only matters for Cython promotion, so long + # is closer than int, but could lead to incorrect promotion. + # (Not to worrying, and always the status-quo.) + ctypedef signed long npy_intp + ctypedef unsigned long npy_uintp + + ctypedef unsigned char npy_bool + + ctypedef signed char npy_byte + ctypedef signed short npy_short + ctypedef signed int npy_int + ctypedef signed long npy_long + ctypedef signed long long npy_longlong + + ctypedef unsigned char npy_ubyte + ctypedef unsigned short npy_ushort + ctypedef unsigned int npy_uint + ctypedef unsigned long npy_ulong + ctypedef unsigned long long npy_ulonglong + + ctypedef float npy_float + ctypedef double npy_double + ctypedef long double npy_longdouble + + ctypedef signed char npy_int8 + ctypedef signed short npy_int16 + ctypedef signed int npy_int32 + ctypedef signed long long npy_int64 + ctypedef signed long long npy_int96 + ctypedef signed long long npy_int128 + + ctypedef unsigned char npy_uint8 + ctypedef unsigned short npy_uint16 + ctypedef unsigned int npy_uint32 + ctypedef unsigned long long npy_uint64 + ctypedef unsigned long long npy_uint96 + ctypedef unsigned long long npy_uint128 + + ctypedef float npy_float32 + ctypedef double npy_float64 + ctypedef long double npy_float80 + ctypedef long double npy_float96 + ctypedef long double npy_float128 + + ctypedef struct npy_cfloat: + pass + + ctypedef struct npy_cdouble: + pass + + ctypedef struct npy_clongdouble: + pass + + ctypedef struct npy_complex64: + pass + + ctypedef struct npy_complex128: + pass + + ctypedef struct npy_complex160: + pass + + ctypedef struct npy_complex192: + pass + + ctypedef struct npy_complex256: + pass + + ctypedef struct PyArray_Dims: + npy_intp *ptr + int len + + + cdef enum NPY_TYPES: + NPY_BOOL + NPY_BYTE + NPY_UBYTE + NPY_SHORT + NPY_USHORT + NPY_INT + NPY_UINT + NPY_LONG + NPY_ULONG + NPY_LONGLONG + NPY_ULONGLONG + NPY_FLOAT + NPY_DOUBLE + NPY_LONGDOUBLE + NPY_CFLOAT + NPY_CDOUBLE + NPY_CLONGDOUBLE + NPY_OBJECT + NPY_STRING + NPY_UNICODE + NPY_VOID + NPY_DATETIME + NPY_TIMEDELTA + NPY_NTYPES_LEGACY + NPY_NOTYPE + + NPY_INT8 + NPY_INT16 + NPY_INT32 + NPY_INT64 + NPY_INT128 + NPY_INT256 + NPY_UINT8 + NPY_UINT16 + NPY_UINT32 + NPY_UINT64 + NPY_UINT128 + NPY_UINT256 + NPY_FLOAT16 + NPY_FLOAT32 + NPY_FLOAT64 + NPY_FLOAT80 + NPY_FLOAT96 + NPY_FLOAT128 + NPY_FLOAT256 + NPY_COMPLEX32 + NPY_COMPLEX64 + NPY_COMPLEX128 + NPY_COMPLEX160 + NPY_COMPLEX192 + NPY_COMPLEX256 + NPY_COMPLEX512 + + NPY_INTP + NPY_UINTP + NPY_DEFAULT_INT # Not a compile time constant (normally)! + + ctypedef enum NPY_ORDER: + NPY_ANYORDER + NPY_CORDER + NPY_FORTRANORDER + NPY_KEEPORDER + + ctypedef enum NPY_CASTING: + NPY_NO_CASTING + NPY_EQUIV_CASTING + NPY_SAFE_CASTING + NPY_SAME_KIND_CASTING + NPY_UNSAFE_CASTING + + ctypedef enum NPY_CLIPMODE: + NPY_CLIP + NPY_WRAP + NPY_RAISE + + ctypedef enum NPY_SCALARKIND: + NPY_NOSCALAR, + NPY_BOOL_SCALAR, + NPY_INTPOS_SCALAR, + NPY_INTNEG_SCALAR, + NPY_FLOAT_SCALAR, + NPY_COMPLEX_SCALAR, + NPY_OBJECT_SCALAR + + ctypedef enum NPY_SORTKIND: + NPY_QUICKSORT + NPY_HEAPSORT + NPY_MERGESORT + + ctypedef enum NPY_SEARCHSIDE: + NPY_SEARCHLEFT + NPY_SEARCHRIGHT + + enum: + # DEPRECATED since NumPy 1.7 ! Do not use in new code! + NPY_C_CONTIGUOUS + NPY_F_CONTIGUOUS + NPY_CONTIGUOUS + NPY_FORTRAN + NPY_OWNDATA + NPY_FORCECAST + NPY_ENSURECOPY + NPY_ENSUREARRAY + NPY_ELEMENTSTRIDES + NPY_ALIGNED + NPY_NOTSWAPPED + NPY_WRITEABLE + NPY_ARR_HAS_DESCR + + NPY_BEHAVED + NPY_BEHAVED_NS + NPY_CARRAY + NPY_CARRAY_RO + NPY_FARRAY + NPY_FARRAY_RO + NPY_DEFAULT + + NPY_IN_ARRAY + NPY_OUT_ARRAY + NPY_INOUT_ARRAY + NPY_IN_FARRAY + NPY_OUT_FARRAY + NPY_INOUT_FARRAY + + NPY_UPDATE_ALL + + enum: + # Added in NumPy 1.7 to replace the deprecated enums above. + NPY_ARRAY_C_CONTIGUOUS + NPY_ARRAY_F_CONTIGUOUS + NPY_ARRAY_OWNDATA + NPY_ARRAY_FORCECAST + NPY_ARRAY_ENSURECOPY + NPY_ARRAY_ENSUREARRAY + NPY_ARRAY_ELEMENTSTRIDES + NPY_ARRAY_ALIGNED + NPY_ARRAY_NOTSWAPPED + NPY_ARRAY_WRITEABLE + NPY_ARRAY_WRITEBACKIFCOPY + + NPY_ARRAY_BEHAVED + NPY_ARRAY_BEHAVED_NS + NPY_ARRAY_CARRAY + NPY_ARRAY_CARRAY_RO + NPY_ARRAY_FARRAY + NPY_ARRAY_FARRAY_RO + NPY_ARRAY_DEFAULT + + NPY_ARRAY_IN_ARRAY + NPY_ARRAY_OUT_ARRAY + NPY_ARRAY_INOUT_ARRAY + NPY_ARRAY_IN_FARRAY + NPY_ARRAY_OUT_FARRAY + NPY_ARRAY_INOUT_FARRAY + + NPY_ARRAY_UPDATE_ALL + + cdef enum: + NPY_MAXDIMS # 64 on NumPy 2.x and 32 on NumPy 1.x + NPY_RAVEL_AXIS # Used for functions like PyArray_Mean + + ctypedef void (*PyArray_VectorUnaryFunc)(void *, void *, npy_intp, void *, void *) + + ctypedef struct PyArray_ArrayDescr: + # shape is a tuple, but Cython doesn't support "tuple shape" + # inside a non-PyObject declaration, so we have to declare it + # as just a PyObject*. + PyObject* shape + + ctypedef struct PyArray_Descr: + pass + + ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]: + # Use PyDataType_* macros when possible, however there are no macros + # for accessing some of the fields, so some are defined. + cdef PyTypeObject* typeobj + cdef char kind + cdef char type + # Numpy sometimes mutates this without warning (e.g. it'll + # sometimes change "|" to "<" in shared dtype objects on + # little-endian machines). If this matters to you, use + # PyArray_IsNativeByteOrder(dtype.byteorder) instead of + # directly accessing this field. + cdef char byteorder + cdef int type_num + + @property + cdef inline npy_intp itemsize(self) noexcept nogil: + return PyDataType_ELSIZE(self) + + @property + cdef inline npy_intp alignment(self) noexcept nogil: + return PyDataType_ALIGNMENT(self) + + # Use fields/names with care as they may be NULL. You must check + # for this using PyDataType_HASFIELDS. + @property + cdef inline object fields(self): + return PyDataType_FIELDS(self) + + @property + cdef inline tuple names(self): + return PyDataType_NAMES(self) + + # Use PyDataType_HASSUBARRAY to test whether this field is + # valid (the pointer can be NULL). Most users should access + # this field via the inline helper method PyDataType_SHAPE. + @property + cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil: + return PyDataType_SUBARRAY(self) + + @property + cdef inline npy_uint64 flags(self) noexcept nogil: + """The data types flags.""" + return PyDataType_FLAGS(self) + + + ctypedef class numpy.flatiter [object PyArrayIterObject, check_size ignore]: + # Use through macros + pass + + ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]: + + @property + cdef inline int numiter(self) noexcept nogil: + """The number of arrays that need to be broadcast to the same shape.""" + return PyArray_MultiIter_NUMITER(self) + + @property + cdef inline npy_intp size(self) noexcept nogil: + """The total broadcasted size.""" + return PyArray_MultiIter_SIZE(self) + + @property + cdef inline npy_intp index(self) noexcept nogil: + """The current (1-d) index into the broadcasted result.""" + return PyArray_MultiIter_INDEX(self) + + @property + cdef inline int nd(self) noexcept nogil: + """The number of dimensions in the broadcasted result.""" + return PyArray_MultiIter_NDIM(self) + + @property + cdef inline npy_intp* dimensions(self) noexcept nogil: + """The shape of the broadcasted result.""" + return PyArray_MultiIter_DIMS(self) + + @property + cdef inline void** iters(self) noexcept nogil: + """An array of iterator objects that holds the iterators for the arrays to be broadcast together. + On return, the iterators are adjusted for broadcasting.""" + return PyArray_MultiIter_ITERS(self) + + + ctypedef struct PyArrayObject: + # For use in situations where ndarray can't replace PyArrayObject*, + # like PyArrayObject**. + pass + + ctypedef class numpy.ndarray [object PyArrayObject, check_size ignore]: + cdef __cythonbufferdefaults__ = {"mode": "strided"} + + # NOTE: no field declarations since direct access is deprecated since NumPy 1.7 + # Instead, we use properties that map to the corresponding C-API functions. + + @property + cdef inline PyObject* base(self) noexcept nogil: + """Returns a borrowed reference to the object owning the data/memory. + """ + return PyArray_BASE(self) + + @property + cdef inline dtype descr(self): + """Returns an owned reference to the dtype of the array. + """ + return PyArray_DESCR(self) + + @property + cdef inline int ndim(self) noexcept nogil: + """Returns the number of dimensions in the array. + """ + return PyArray_NDIM(self) + + @property + cdef inline npy_intp *shape(self) noexcept nogil: + """Returns a pointer to the dimensions/shape of the array. + The number of elements matches the number of dimensions of the array (ndim). + Can return NULL for 0-dimensional arrays. + """ + return PyArray_DIMS(self) + + @property + cdef inline npy_intp *strides(self) noexcept nogil: + """Returns a pointer to the strides of the array. + The number of elements matches the number of dimensions of the array (ndim). + """ + return PyArray_STRIDES(self) + + @property + cdef inline npy_intp size(self) noexcept nogil: + """Returns the total size (in number of elements) of the array. + """ + return PyArray_SIZE(self) + + @property + cdef inline char* data(self) noexcept nogil: + """The pointer to the data buffer as a char*. + This is provided for legacy reasons to avoid direct struct field access. + For new code that needs this access, you probably want to cast the result + of `PyArray_DATA()` instead, which returns a 'void*'. + """ + return PyArray_BYTES(self) + + + int _import_array() except -1 + # A second definition so _import_array isn't marked as used when we use it here. + # Do not use - subject to change any time. + int __pyx_import_array "_import_array"() except -1 + + # + # Macros from ndarrayobject.h + # + bint PyArray_CHKFLAGS(ndarray m, int flags) nogil + bint PyArray_IS_C_CONTIGUOUS(ndarray arr) nogil + bint PyArray_IS_F_CONTIGUOUS(ndarray arr) nogil + bint PyArray_ISCONTIGUOUS(ndarray m) nogil + bint PyArray_ISWRITEABLE(ndarray m) nogil + bint PyArray_ISALIGNED(ndarray m) nogil + + int PyArray_NDIM(ndarray) nogil + bint PyArray_ISONESEGMENT(ndarray) nogil + bint PyArray_ISFORTRAN(ndarray) nogil + int PyArray_FORTRANIF(ndarray) nogil + + void* PyArray_DATA(ndarray) nogil + char* PyArray_BYTES(ndarray) nogil + + npy_intp* PyArray_DIMS(ndarray) nogil + npy_intp* PyArray_STRIDES(ndarray) nogil + npy_intp PyArray_DIM(ndarray, size_t) nogil + npy_intp PyArray_STRIDE(ndarray, size_t) nogil + + PyObject *PyArray_BASE(ndarray) nogil # returns borrowed reference! + PyArray_Descr *PyArray_DESCR(ndarray) nogil # returns borrowed reference to dtype! + PyArray_Descr *PyArray_DTYPE(ndarray) nogil # returns borrowed reference to dtype! NP 1.7+ alias for descr. + int PyArray_FLAGS(ndarray) nogil + void PyArray_CLEARFLAGS(ndarray, int flags) nogil # Added in NumPy 1.7 + void PyArray_ENABLEFLAGS(ndarray, int flags) nogil # Added in NumPy 1.7 + npy_intp PyArray_ITEMSIZE(ndarray) nogil + int PyArray_TYPE(ndarray arr) nogil + + object PyArray_GETITEM(ndarray arr, void *itemptr) + int PyArray_SETITEM(ndarray arr, void *itemptr, object obj) except -1 + + bint PyTypeNum_ISBOOL(int) nogil + bint PyTypeNum_ISUNSIGNED(int) nogil + bint PyTypeNum_ISSIGNED(int) nogil + bint PyTypeNum_ISINTEGER(int) nogil + bint PyTypeNum_ISFLOAT(int) nogil + bint PyTypeNum_ISNUMBER(int) nogil + bint PyTypeNum_ISSTRING(int) nogil + bint PyTypeNum_ISCOMPLEX(int) nogil + bint PyTypeNum_ISFLEXIBLE(int) nogil + bint PyTypeNum_ISUSERDEF(int) nogil + bint PyTypeNum_ISEXTENDED(int) nogil + bint PyTypeNum_ISOBJECT(int) nogil + + npy_intp PyDataType_ELSIZE(dtype) nogil + npy_intp PyDataType_ALIGNMENT(dtype) nogil + PyObject* PyDataType_METADATA(dtype) nogil + PyArray_ArrayDescr* PyDataType_SUBARRAY(dtype) nogil + PyObject* PyDataType_NAMES(dtype) nogil + PyObject* PyDataType_FIELDS(dtype) nogil + + bint PyDataType_ISBOOL(dtype) nogil + bint PyDataType_ISUNSIGNED(dtype) nogil + bint PyDataType_ISSIGNED(dtype) nogil + bint PyDataType_ISINTEGER(dtype) nogil + bint PyDataType_ISFLOAT(dtype) nogil + bint PyDataType_ISNUMBER(dtype) nogil + bint PyDataType_ISSTRING(dtype) nogil + bint PyDataType_ISCOMPLEX(dtype) nogil + bint PyDataType_ISFLEXIBLE(dtype) nogil + bint PyDataType_ISUSERDEF(dtype) nogil + bint PyDataType_ISEXTENDED(dtype) nogil + bint PyDataType_ISOBJECT(dtype) nogil + bint PyDataType_HASFIELDS(dtype) nogil + bint PyDataType_HASSUBARRAY(dtype) nogil + npy_uint64 PyDataType_FLAGS(dtype) nogil + + bint PyArray_ISBOOL(ndarray) nogil + bint PyArray_ISUNSIGNED(ndarray) nogil + bint PyArray_ISSIGNED(ndarray) nogil + bint PyArray_ISINTEGER(ndarray) nogil + bint PyArray_ISFLOAT(ndarray) nogil + bint PyArray_ISNUMBER(ndarray) nogil + bint PyArray_ISSTRING(ndarray) nogil + bint PyArray_ISCOMPLEX(ndarray) nogil + bint PyArray_ISFLEXIBLE(ndarray) nogil + bint PyArray_ISUSERDEF(ndarray) nogil + bint PyArray_ISEXTENDED(ndarray) nogil + bint PyArray_ISOBJECT(ndarray) nogil + bint PyArray_HASFIELDS(ndarray) nogil + + bint PyArray_ISVARIABLE(ndarray) nogil + + bint PyArray_SAFEALIGNEDCOPY(ndarray) nogil + bint PyArray_ISNBO(char) nogil # works on ndarray.byteorder + bint PyArray_IsNativeByteOrder(char) nogil # works on ndarray.byteorder + bint PyArray_ISNOTSWAPPED(ndarray) nogil + bint PyArray_ISBYTESWAPPED(ndarray) nogil + + bint PyArray_FLAGSWAP(ndarray, int) nogil + + bint PyArray_ISCARRAY(ndarray) nogil + bint PyArray_ISCARRAY_RO(ndarray) nogil + bint PyArray_ISFARRAY(ndarray) nogil + bint PyArray_ISFARRAY_RO(ndarray) nogil + bint PyArray_ISBEHAVED(ndarray) nogil + bint PyArray_ISBEHAVED_RO(ndarray) nogil + + + bint PyDataType_ISNOTSWAPPED(dtype) nogil + bint PyDataType_ISBYTESWAPPED(dtype) nogil + + bint PyArray_DescrCheck(object) + + bint PyArray_Check(object) + bint PyArray_CheckExact(object) + + # Cannot be supported due to out arg: + # bint PyArray_HasArrayInterfaceType(object, dtype, object, object&) + # bint PyArray_HasArrayInterface(op, out) + + + bint PyArray_IsZeroDim(object) + # Cannot be supported due to ## ## in macro: + # bint PyArray_IsScalar(object, verbatim work) + bint PyArray_CheckScalar(object) + bint PyArray_IsPythonNumber(object) + bint PyArray_IsPythonScalar(object) + bint PyArray_IsAnyScalar(object) + bint PyArray_CheckAnyScalar(object) + + ndarray PyArray_GETCONTIGUOUS(ndarray) + bint PyArray_SAMESHAPE(ndarray, ndarray) nogil + npy_intp PyArray_SIZE(ndarray) nogil + npy_intp PyArray_NBYTES(ndarray) nogil + + object PyArray_FROM_O(object) + object PyArray_FROM_OF(object m, int flags) + object PyArray_FROM_OT(object m, int type) + object PyArray_FROM_OTF(object m, int type, int flags) + object PyArray_FROMANY(object m, int type, int min, int max, int flags) + object PyArray_ZEROS(int nd, npy_intp* dims, int type, int fortran) + object PyArray_EMPTY(int nd, npy_intp* dims, int type, int fortran) + void PyArray_FILLWBYTE(ndarray, int val) + object PyArray_ContiguousFromAny(op, int, int min_depth, int max_depth) + unsigned char PyArray_EquivArrTypes(ndarray a1, ndarray a2) + bint PyArray_EquivByteorders(int b1, int b2) nogil + object PyArray_SimpleNew(int nd, npy_intp* dims, int typenum) + object PyArray_SimpleNewFromData(int nd, npy_intp* dims, int typenum, void* data) + #object PyArray_SimpleNewFromDescr(int nd, npy_intp* dims, dtype descr) + object PyArray_ToScalar(void* data, ndarray arr) + + void* PyArray_GETPTR1(ndarray m, npy_intp i) nogil + void* PyArray_GETPTR2(ndarray m, npy_intp i, npy_intp j) nogil + void* PyArray_GETPTR3(ndarray m, npy_intp i, npy_intp j, npy_intp k) nogil + void* PyArray_GETPTR4(ndarray m, npy_intp i, npy_intp j, npy_intp k, npy_intp l) nogil + + # Cannot be supported due to out arg + # void PyArray_DESCR_REPLACE(descr) + + + object PyArray_Copy(ndarray) + object PyArray_FromObject(object op, int type, int min_depth, int max_depth) + object PyArray_ContiguousFromObject(object op, int type, int min_depth, int max_depth) + object PyArray_CopyFromObject(object op, int type, int min_depth, int max_depth) + + object PyArray_Cast(ndarray mp, int type_num) + object PyArray_Take(ndarray ap, object items, int axis) + object PyArray_Put(ndarray ap, object items, object values) + + void PyArray_ITER_RESET(flatiter it) nogil + void PyArray_ITER_NEXT(flatiter it) nogil + void PyArray_ITER_GOTO(flatiter it, npy_intp* destination) nogil + void PyArray_ITER_GOTO1D(flatiter it, npy_intp ind) nogil + void* PyArray_ITER_DATA(flatiter it) nogil + bint PyArray_ITER_NOTDONE(flatiter it) nogil + + void PyArray_MultiIter_RESET(broadcast multi) nogil + void PyArray_MultiIter_NEXT(broadcast multi) nogil + void PyArray_MultiIter_GOTO(broadcast multi, npy_intp dest) nogil + void PyArray_MultiIter_GOTO1D(broadcast multi, npy_intp ind) nogil + void* PyArray_MultiIter_DATA(broadcast multi, npy_intp i) nogil + void PyArray_MultiIter_NEXTi(broadcast multi, npy_intp i) nogil + bint PyArray_MultiIter_NOTDONE(broadcast multi) nogil + npy_intp PyArray_MultiIter_SIZE(broadcast multi) nogil + int PyArray_MultiIter_NDIM(broadcast multi) nogil + npy_intp PyArray_MultiIter_INDEX(broadcast multi) nogil + int PyArray_MultiIter_NUMITER(broadcast multi) nogil + npy_intp* PyArray_MultiIter_DIMS(broadcast multi) nogil + void** PyArray_MultiIter_ITERS(broadcast multi) nogil + + # Functions from __multiarray_api.h + + # Functions taking dtype and returning object/ndarray are disabled + # for now as they steal dtype references. I'm conservative and disable + # more than is probably needed until it can be checked further. + int PyArray_INCREF (ndarray) except * # uses PyArray_Item_INCREF... + int PyArray_XDECREF (ndarray) except * # uses PyArray_Item_DECREF... + dtype PyArray_DescrFromType (int) + object PyArray_TypeObjectFromType (int) + char * PyArray_Zero (ndarray) + char * PyArray_One (ndarray) + #object PyArray_CastToType (ndarray, dtype, int) + int PyArray_CanCastSafely (int, int) # writes errors + npy_bool PyArray_CanCastTo (dtype, dtype) # writes errors + int PyArray_ObjectType (object, int) except 0 + dtype PyArray_DescrFromObject (object, dtype) + #ndarray* PyArray_ConvertToCommonType (object, int *) + dtype PyArray_DescrFromScalar (object) + dtype PyArray_DescrFromTypeObject (object) + npy_intp PyArray_Size (object) + #object PyArray_Scalar (void *, dtype, object) + #object PyArray_FromScalar (object, dtype) + void PyArray_ScalarAsCtype (object, void *) + #int PyArray_CastScalarToCtype (object, void *, dtype) + #int PyArray_CastScalarDirect (object, dtype, void *, int) + #PyArray_VectorUnaryFunc * PyArray_GetCastFunc (dtype, int) + #object PyArray_FromAny (object, dtype, int, int, int, object) + object PyArray_EnsureArray (object) + object PyArray_EnsureAnyArray (object) + #object PyArray_FromFile (stdio.FILE *, dtype, npy_intp, char *) + #object PyArray_FromString (char *, npy_intp, dtype, npy_intp, char *) + #object PyArray_FromBuffer (object, dtype, npy_intp, npy_intp) + #object PyArray_FromIter (object, dtype, npy_intp) + object PyArray_Return (ndarray) + #object PyArray_GetField (ndarray, dtype, int) + #int PyArray_SetField (ndarray, dtype, int, object) except -1 + object PyArray_Byteswap (ndarray, npy_bool) + object PyArray_Resize (ndarray, PyArray_Dims *, int, NPY_ORDER) + int PyArray_CopyInto (ndarray, ndarray) except -1 + int PyArray_CopyAnyInto (ndarray, ndarray) except -1 + int PyArray_CopyObject (ndarray, object) except -1 + object PyArray_NewCopy (ndarray, NPY_ORDER) + object PyArray_ToList (ndarray) + object PyArray_ToString (ndarray, NPY_ORDER) + int PyArray_ToFile (ndarray, stdio.FILE *, char *, char *) except -1 + int PyArray_Dump (object, object, int) except -1 + object PyArray_Dumps (object, int) + int PyArray_ValidType (int) # Cannot error + void PyArray_UpdateFlags (ndarray, int) + object PyArray_New (type, int, npy_intp *, int, npy_intp *, void *, int, int, object) + #object PyArray_NewFromDescr (type, dtype, int, npy_intp *, npy_intp *, void *, int, object) + #dtype PyArray_DescrNew (dtype) + dtype PyArray_DescrNewFromType (int) + double PyArray_GetPriority (object, double) # clears errors as of 1.25 + object PyArray_IterNew (object) + object PyArray_MultiIterNew (int, ...) + + int PyArray_PyIntAsInt (object) except? -1 + npy_intp PyArray_PyIntAsIntp (object) + int PyArray_Broadcast (broadcast) except -1 + int PyArray_FillWithScalar (ndarray, object) except -1 + npy_bool PyArray_CheckStrides (int, int, npy_intp, npy_intp, npy_intp *, npy_intp *) + dtype PyArray_DescrNewByteorder (dtype, char) + object PyArray_IterAllButAxis (object, int *) + #object PyArray_CheckFromAny (object, dtype, int, int, int, object) + #object PyArray_FromArray (ndarray, dtype, int) + object PyArray_FromInterface (object) + object PyArray_FromStructInterface (object) + #object PyArray_FromArrayAttr (object, dtype, object) + #NPY_SCALARKIND PyArray_ScalarKind (int, ndarray*) + int PyArray_CanCoerceScalar (int, int, NPY_SCALARKIND) + npy_bool PyArray_CanCastScalar (type, type) + int PyArray_RemoveSmallest (broadcast) except -1 + int PyArray_ElementStrides (object) + void PyArray_Item_INCREF (char *, dtype) except * + void PyArray_Item_XDECREF (char *, dtype) except * + object PyArray_Transpose (ndarray, PyArray_Dims *) + object PyArray_TakeFrom (ndarray, object, int, ndarray, NPY_CLIPMODE) + object PyArray_PutTo (ndarray, object, object, NPY_CLIPMODE) + object PyArray_PutMask (ndarray, object, object) + object PyArray_Repeat (ndarray, object, int) + object PyArray_Choose (ndarray, object, ndarray, NPY_CLIPMODE) + int PyArray_Sort (ndarray, int, NPY_SORTKIND) except -1 + object PyArray_ArgSort (ndarray, int, NPY_SORTKIND) + object PyArray_SearchSorted (ndarray, object, NPY_SEARCHSIDE, PyObject *) + object PyArray_ArgMax (ndarray, int, ndarray) + object PyArray_ArgMin (ndarray, int, ndarray) + object PyArray_Reshape (ndarray, object) + object PyArray_Newshape (ndarray, PyArray_Dims *, NPY_ORDER) + object PyArray_Squeeze (ndarray) + #object PyArray_View (ndarray, dtype, type) + object PyArray_SwapAxes (ndarray, int, int) + object PyArray_Max (ndarray, int, ndarray) + object PyArray_Min (ndarray, int, ndarray) + object PyArray_Ptp (ndarray, int, ndarray) + object PyArray_Mean (ndarray, int, int, ndarray) + object PyArray_Trace (ndarray, int, int, int, int, ndarray) + object PyArray_Diagonal (ndarray, int, int, int) + object PyArray_Clip (ndarray, object, object, ndarray) + object PyArray_Conjugate (ndarray, ndarray) + object PyArray_Nonzero (ndarray) + object PyArray_Std (ndarray, int, int, ndarray, int) + object PyArray_Sum (ndarray, int, int, ndarray) + object PyArray_CumSum (ndarray, int, int, ndarray) + object PyArray_Prod (ndarray, int, int, ndarray) + object PyArray_CumProd (ndarray, int, int, ndarray) + object PyArray_All (ndarray, int, ndarray) + object PyArray_Any (ndarray, int, ndarray) + object PyArray_Compress (ndarray, object, int, ndarray) + object PyArray_Flatten (ndarray, NPY_ORDER) + object PyArray_Ravel (ndarray, NPY_ORDER) + npy_intp PyArray_MultiplyList (npy_intp *, int) + int PyArray_MultiplyIntList (int *, int) + void * PyArray_GetPtr (ndarray, npy_intp*) + int PyArray_CompareLists (npy_intp *, npy_intp *, int) + #int PyArray_AsCArray (object*, void *, npy_intp *, int, dtype) + int PyArray_Free (object, void *) + #int PyArray_Converter (object, object*) + int PyArray_IntpFromSequence (object, npy_intp *, int) except -1 + object PyArray_Concatenate (object, int) + object PyArray_InnerProduct (object, object) + object PyArray_MatrixProduct (object, object) + object PyArray_Correlate (object, object, int) + #int PyArray_DescrConverter (object, dtype*) except 0 + #int PyArray_DescrConverter2 (object, dtype*) except 0 + int PyArray_IntpConverter (object, PyArray_Dims *) except 0 + #int PyArray_BufferConverter (object, chunk) except 0 + int PyArray_AxisConverter (object, int *) except 0 + int PyArray_BoolConverter (object, npy_bool *) except 0 + int PyArray_ByteorderConverter (object, char *) except 0 + int PyArray_OrderConverter (object, NPY_ORDER *) except 0 + unsigned char PyArray_EquivTypes (dtype, dtype) # clears errors + #object PyArray_Zeros (int, npy_intp *, dtype, int) + #object PyArray_Empty (int, npy_intp *, dtype, int) + object PyArray_Where (object, object, object) + object PyArray_Arange (double, double, double, int) + #object PyArray_ArangeObj (object, object, object, dtype) + int PyArray_SortkindConverter (object, NPY_SORTKIND *) except 0 + object PyArray_LexSort (object, int) + object PyArray_Round (ndarray, int, ndarray) + unsigned char PyArray_EquivTypenums (int, int) + int PyArray_RegisterDataType (dtype) except -1 + int PyArray_RegisterCastFunc (dtype, int, PyArray_VectorUnaryFunc *) except -1 + int PyArray_RegisterCanCast (dtype, int, NPY_SCALARKIND) except -1 + #void PyArray_InitArrFuncs (PyArray_ArrFuncs *) + object PyArray_IntTupleFromIntp (int, npy_intp *) + int PyArray_ClipmodeConverter (object, NPY_CLIPMODE *) except 0 + #int PyArray_OutputConverter (object, ndarray*) except 0 + object PyArray_BroadcastToShape (object, npy_intp *, int) + #int PyArray_DescrAlignConverter (object, dtype*) except 0 + #int PyArray_DescrAlignConverter2 (object, dtype*) except 0 + int PyArray_SearchsideConverter (object, void *) except 0 + object PyArray_CheckAxis (ndarray, int *, int) + npy_intp PyArray_OverflowMultiplyList (npy_intp *, int) + int PyArray_SetBaseObject(ndarray, base) except -1 # NOTE: steals a reference to base! Use "set_array_base()" instead. + + # The memory handler functions require the NumPy 1.22 API + # and may require defining NPY_TARGET_VERSION + ctypedef struct PyDataMemAllocator: + void *ctx + void* (*malloc) (void *ctx, size_t size) + void* (*calloc) (void *ctx, size_t nelem, size_t elsize) + void* (*realloc) (void *ctx, void *ptr, size_t new_size) + void (*free) (void *ctx, void *ptr, size_t size) + + ctypedef struct PyDataMem_Handler: + char* name + npy_uint8 version + PyDataMemAllocator allocator + + object PyDataMem_SetHandler(object handler) + object PyDataMem_GetHandler() + + # additional datetime related functions are defined below + + +# Typedefs that matches the runtime dtype objects in +# the numpy module. + +# The ones that are commented out needs an IFDEF function +# in Cython to enable them only on the right systems. + +ctypedef npy_int8 int8_t +ctypedef npy_int16 int16_t +ctypedef npy_int32 int32_t +ctypedef npy_int64 int64_t +#ctypedef npy_int96 int96_t +#ctypedef npy_int128 int128_t + +ctypedef npy_uint8 uint8_t +ctypedef npy_uint16 uint16_t +ctypedef npy_uint32 uint32_t +ctypedef npy_uint64 uint64_t +#ctypedef npy_uint96 uint96_t +#ctypedef npy_uint128 uint128_t + +ctypedef npy_float32 float32_t +ctypedef npy_float64 float64_t +#ctypedef npy_float80 float80_t +#ctypedef npy_float128 float128_t + +ctypedef float complex complex64_t +ctypedef double complex complex128_t + +ctypedef npy_longlong longlong_t +ctypedef npy_ulonglong ulonglong_t + +ctypedef npy_intp intp_t +ctypedef npy_uintp uintp_t + +ctypedef npy_double float_t +ctypedef npy_double double_t +ctypedef npy_longdouble longdouble_t + +ctypedef float complex cfloat_t +ctypedef double complex cdouble_t +ctypedef double complex complex_t +ctypedef long double complex clongdouble_t + +cdef inline object PyArray_MultiIterNew1(a): + return PyArray_MultiIterNew(1, a) + +cdef inline object PyArray_MultiIterNew2(a, b): + return PyArray_MultiIterNew(2, a, b) + +cdef inline object PyArray_MultiIterNew3(a, b, c): + return PyArray_MultiIterNew(3, a, b, c) + +cdef inline object PyArray_MultiIterNew4(a, b, c, d): + return PyArray_MultiIterNew(4, a, b, c, d) + +cdef inline object PyArray_MultiIterNew5(a, b, c, d, e): + return PyArray_MultiIterNew(5, a, b, c, d, e) + +cdef inline tuple PyDataType_SHAPE(dtype d): + if PyDataType_HASSUBARRAY(d): + return d.subarray.shape + else: + return () + + +cdef extern from "numpy/ndarrayobject.h": + PyTypeObject PyTimedeltaArrType_Type + PyTypeObject PyDatetimeArrType_Type + ctypedef int64_t npy_timedelta + ctypedef int64_t npy_datetime + +cdef extern from "numpy/ndarraytypes.h": + ctypedef struct PyArray_DatetimeMetaData: + NPY_DATETIMEUNIT base + int64_t num + + ctypedef struct npy_datetimestruct: + int64_t year + int32_t month, day, hour, min, sec, us, ps, as + + # Iterator API added in v1.6 + # + # These don't match the definition in the C API because Cython can't wrap + # function pointers that return functions. + # https://github.com/cython/cython/issues/6720 + ctypedef int (*NpyIter_IterNextFunc "NpyIter_IterNextFunc *")(NpyIter* it) noexcept nogil + ctypedef void (*NpyIter_GetMultiIndexFunc "NpyIter_GetMultiIndexFunc *")(NpyIter* it, npy_intp* outcoords) noexcept nogil + + +cdef extern from "numpy/arrayscalars.h": + + # abstract types + ctypedef class numpy.generic [object PyObject]: + pass + ctypedef class numpy.number [object PyObject]: + pass + ctypedef class numpy.integer [object PyObject]: + pass + ctypedef class numpy.signedinteger [object PyObject]: + pass + ctypedef class numpy.unsignedinteger [object PyObject]: + pass + ctypedef class numpy.inexact [object PyObject]: + pass + ctypedef class numpy.floating [object PyObject]: + pass + ctypedef class numpy.complexfloating [object PyObject]: + pass + ctypedef class numpy.flexible [object PyObject]: + pass + ctypedef class numpy.character [object PyObject]: + pass + + ctypedef struct PyDatetimeScalarObject: + # PyObject_HEAD + npy_datetime obval + PyArray_DatetimeMetaData obmeta + + ctypedef struct PyTimedeltaScalarObject: + # PyObject_HEAD + npy_timedelta obval + PyArray_DatetimeMetaData obmeta + + ctypedef enum NPY_DATETIMEUNIT: + NPY_FR_Y + NPY_FR_M + NPY_FR_W + NPY_FR_D + NPY_FR_B + NPY_FR_h + NPY_FR_m + NPY_FR_s + NPY_FR_ms + NPY_FR_us + NPY_FR_ns + NPY_FR_ps + NPY_FR_fs + NPY_FR_as + NPY_FR_GENERIC + + +cdef extern from "numpy/arrayobject.h": + # These are part of the C-API defined in `__multiarray_api.h` + + # NumPy internal definitions in datetime_strings.c: + int get_datetime_iso_8601_strlen "NpyDatetime_GetDatetimeISO8601StrLen" ( + int local, NPY_DATETIMEUNIT base) + int make_iso_8601_datetime "NpyDatetime_MakeISO8601Datetime" ( + npy_datetimestruct *dts, char *outstr, npy_intp outlen, + int local, int utc, NPY_DATETIMEUNIT base, int tzoffset, + NPY_CASTING casting) except -1 + + # NumPy internal definition in datetime.c: + # May return 1 to indicate that object does not appear to be a datetime + # (returns 0 on success). + int convert_pydatetime_to_datetimestruct "NpyDatetime_ConvertPyDateTimeToDatetimeStruct" ( + PyObject *obj, npy_datetimestruct *out, + NPY_DATETIMEUNIT *out_bestunit, int apply_tzinfo) except -1 + int convert_datetime64_to_datetimestruct "NpyDatetime_ConvertDatetime64ToDatetimeStruct" ( + PyArray_DatetimeMetaData *meta, npy_datetime dt, + npy_datetimestruct *out) except -1 + int convert_datetimestruct_to_datetime64 "NpyDatetime_ConvertDatetimeStructToDatetime64"( + PyArray_DatetimeMetaData *meta, const npy_datetimestruct *dts, + npy_datetime *out) except -1 + + +# +# ufunc API +# + +cdef extern from "numpy/ufuncobject.h": + + ctypedef void (*PyUFuncGenericFunction) (char **, npy_intp *, npy_intp *, void *) + + ctypedef class numpy.ufunc [object PyUFuncObject, check_size ignore]: + cdef: + int nin, nout, nargs + int identity + PyUFuncGenericFunction *functions + void **data + int ntypes + int check_return + char *name + char *types + char *doc + void *ptr + PyObject *obj + PyObject *userloops + + cdef enum: + PyUFunc_Zero + PyUFunc_One + PyUFunc_None + UFUNC_FPE_DIVIDEBYZERO + UFUNC_FPE_OVERFLOW + UFUNC_FPE_UNDERFLOW + UFUNC_FPE_INVALID + + object PyUFunc_FromFuncAndData(PyUFuncGenericFunction *, + void **, char *, int, int, int, int, char *, char *, int) + int PyUFunc_RegisterLoopForType(ufunc, int, + PyUFuncGenericFunction, int *, void *) except -1 + void PyUFunc_f_f_As_d_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_d_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_f_f \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_g_g \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_F_F_As_D_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_F_F \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_D_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_G_G \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_O_O \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_ff_f_As_dd_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_ff_f \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_dd_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_gg_g \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_FF_F_As_DD_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_DD_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_FF_F \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_GG_G \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_OO_O \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_O_O_method \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_OO_O_method \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_On_Om \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_clearfperr() + int PyUFunc_getfperr() + int PyUFunc_ReplaceLoopBySignature \ + (ufunc, PyUFuncGenericFunction, int *, PyUFuncGenericFunction *) + object PyUFunc_FromFuncAndDataAndSignature \ + (PyUFuncGenericFunction *, void **, char *, int, int, int, + int, char *, char *, int, char *) + + int _import_umath() except -1 + +cdef inline void set_array_base(ndarray arr, object base) except *: + Py_INCREF(base) # important to do this before stealing the reference below! + PyArray_SetBaseObject(arr, base) + +cdef inline object get_array_base(ndarray arr): + base = PyArray_BASE(arr) + if base is NULL: + return None + return base + +# Versions of the import_* functions which are more suitable for +# Cython code. +cdef inline int import_array() except -1: + try: + __pyx_import_array() + except Exception: + raise ImportError("numpy._core.multiarray failed to import") + +cdef inline int import_umath() except -1: + try: + _import_umath() + except Exception: + raise ImportError("numpy._core.umath failed to import") + +cdef inline int import_ufunc() except -1: + try: + _import_umath() + except Exception: + raise ImportError("numpy._core.umath failed to import") + + +cdef inline bint is_timedelta64_object(object obj) noexcept: + """ + Cython equivalent of `isinstance(obj, np.timedelta64)` + + Parameters + ---------- + obj : object + + Returns + ------- + bool + """ + return PyObject_TypeCheck(obj, &PyTimedeltaArrType_Type) + + +cdef inline bint is_datetime64_object(object obj) noexcept: + """ + Cython equivalent of `isinstance(obj, np.datetime64)` + + Parameters + ---------- + obj : object + + Returns + ------- + bool + """ + return PyObject_TypeCheck(obj, &PyDatetimeArrType_Type) + + +cdef inline npy_datetime get_datetime64_value(object obj) noexcept nogil: + """ + returns the int64 value underlying scalar numpy datetime64 object + + Note that to interpret this as a datetime, the corresponding unit is + also needed. That can be found using `get_datetime64_unit`. + """ + return (obj).obval + + +cdef inline npy_timedelta get_timedelta64_value(object obj) noexcept nogil: + """ + returns the int64 value underlying scalar numpy timedelta64 object + """ + return (obj).obval + + +cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) noexcept nogil: + """ + returns the unit part of the dtype for a numpy datetime64 object. + """ + return (obj).obmeta.base + + +cdef extern from "numpy/arrayobject.h": + + ctypedef struct NpyIter: + pass + + cdef enum: + NPY_FAIL + NPY_SUCCEED + + cdef enum: + # Track an index representing C order + NPY_ITER_C_INDEX + # Track an index representing Fortran order + NPY_ITER_F_INDEX + # Track a multi-index + NPY_ITER_MULTI_INDEX + # User code external to the iterator does the 1-dimensional innermost loop + NPY_ITER_EXTERNAL_LOOP + # Convert all the operands to a common data type + NPY_ITER_COMMON_DTYPE + # Operands may hold references, requiring API access during iteration + NPY_ITER_REFS_OK + # Zero-sized operands should be permitted, iteration checks IterSize for 0 + NPY_ITER_ZEROSIZE_OK + # Permits reductions (size-0 stride with dimension size > 1) + NPY_ITER_REDUCE_OK + # Enables sub-range iteration + NPY_ITER_RANGED + # Enables buffering + NPY_ITER_BUFFERED + # When buffering is enabled, grows the inner loop if possible + NPY_ITER_GROWINNER + # Delay allocation of buffers until first Reset* call + NPY_ITER_DELAY_BUFALLOC + # When NPY_KEEPORDER is specified, disable reversing negative-stride axes + NPY_ITER_DONT_NEGATE_STRIDES + NPY_ITER_COPY_IF_OVERLAP + # The operand will be read from and written to + NPY_ITER_READWRITE + # The operand will only be read from + NPY_ITER_READONLY + # The operand will only be written to + NPY_ITER_WRITEONLY + # The operand's data must be in native byte order + NPY_ITER_NBO + # The operand's data must be aligned + NPY_ITER_ALIGNED + # The operand's data must be contiguous (within the inner loop) + NPY_ITER_CONTIG + # The operand may be copied to satisfy requirements + NPY_ITER_COPY + # The operand may be copied with WRITEBACKIFCOPY to satisfy requirements + NPY_ITER_UPDATEIFCOPY + # Allocate the operand if it is NULL + NPY_ITER_ALLOCATE + # If an operand is allocated, don't use any subtype + NPY_ITER_NO_SUBTYPE + # This is a virtual array slot, operand is NULL but temporary data is there + NPY_ITER_VIRTUAL + # Require that the dimension match the iterator dimensions exactly + NPY_ITER_NO_BROADCAST + # A mask is being used on this array, affects buffer -> array copy + NPY_ITER_WRITEMASKED + # This array is the mask for all WRITEMASKED operands + NPY_ITER_ARRAYMASK + # Assume iterator order data access for COPY_IF_OVERLAP + NPY_ITER_OVERLAP_ASSUME_ELEMENTWISE + + # construction and destruction functions + NpyIter* NpyIter_New(ndarray arr, npy_uint32 flags, NPY_ORDER order, + NPY_CASTING casting, dtype datatype) except NULL + NpyIter* NpyIter_MultiNew(npy_intp nop, PyArrayObject** op, npy_uint32 flags, + NPY_ORDER order, NPY_CASTING casting, npy_uint32* + op_flags, PyArray_Descr** op_dtypes) except NULL + NpyIter* NpyIter_AdvancedNew(npy_intp nop, PyArrayObject** op, + npy_uint32 flags, NPY_ORDER order, + NPY_CASTING casting, npy_uint32* op_flags, + PyArray_Descr** op_dtypes, int oa_ndim, + int** op_axes, const npy_intp* itershape, + npy_intp buffersize) except NULL + NpyIter* NpyIter_Copy(NpyIter* it) except NULL + int NpyIter_RemoveAxis(NpyIter* it, int axis) except NPY_FAIL + int NpyIter_RemoveMultiIndex(NpyIter* it) except NPY_FAIL + int NpyIter_EnableExternalLoop(NpyIter* it) except NPY_FAIL + int NpyIter_Deallocate(NpyIter* it) except NPY_FAIL + int NpyIter_Reset(NpyIter* it, char** errmsg) except NPY_FAIL + int NpyIter_ResetToIterIndexRange(NpyIter* it, npy_intp istart, + npy_intp iend, char** errmsg) except NPY_FAIL + int NpyIter_ResetBasePointers(NpyIter* it, char** baseptrs, char** errmsg) except NPY_FAIL + int NpyIter_GotoMultiIndex(NpyIter* it, const npy_intp* multi_index) except NPY_FAIL + int NpyIter_GotoIndex(NpyIter* it, npy_intp index) except NPY_FAIL + npy_intp NpyIter_GetIterSize(NpyIter* it) nogil + npy_intp NpyIter_GetIterIndex(NpyIter* it) nogil + void NpyIter_GetIterIndexRange(NpyIter* it, npy_intp* istart, + npy_intp* iend) nogil + int NpyIter_GotoIterIndex(NpyIter* it, npy_intp iterindex) except NPY_FAIL + npy_bool NpyIter_HasDelayedBufAlloc(NpyIter* it) nogil + npy_bool NpyIter_HasExternalLoop(NpyIter* it) nogil + npy_bool NpyIter_HasMultiIndex(NpyIter* it) nogil + npy_bool NpyIter_HasIndex(NpyIter* it) nogil + npy_bool NpyIter_RequiresBuffering(NpyIter* it) nogil + npy_bool NpyIter_IsBuffered(NpyIter* it) nogil + npy_bool NpyIter_IsGrowInner(NpyIter* it) nogil + npy_intp NpyIter_GetBufferSize(NpyIter* it) nogil + int NpyIter_GetNDim(NpyIter* it) nogil + int NpyIter_GetNOp(NpyIter* it) nogil + npy_intp* NpyIter_GetAxisStrideArray(NpyIter* it, int axis) except NULL + int NpyIter_GetShape(NpyIter* it, npy_intp* outshape) nogil + PyArray_Descr** NpyIter_GetDescrArray(NpyIter* it) + PyArrayObject** NpyIter_GetOperandArray(NpyIter* it) + ndarray NpyIter_GetIterView(NpyIter* it, npy_intp i) + void NpyIter_GetReadFlags(NpyIter* it, char* outreadflags) + void NpyIter_GetWriteFlags(NpyIter* it, char* outwriteflags) + int NpyIter_CreateCompatibleStrides(NpyIter* it, npy_intp itemsize, + npy_intp* outstrides) except NPY_FAIL + npy_bool NpyIter_IsFirstVisit(NpyIter* it, int iop) nogil + # functions for iterating an NpyIter object + # + # These don't match the definition in the C API because Cython can't wrap + # function pointers that return functions. + NpyIter_IterNextFunc NpyIter_GetIterNext(NpyIter* it, char** errmsg) except NULL + NpyIter_GetMultiIndexFunc NpyIter_GetGetMultiIndex(NpyIter* it, + char** errmsg) except NULL + char** NpyIter_GetDataPtrArray(NpyIter* it) nogil + char** NpyIter_GetInitialDataPtrArray(NpyIter* it) nogil + npy_intp* NpyIter_GetIndexPtr(NpyIter* it) + npy_intp* NpyIter_GetInnerStrideArray(NpyIter* it) nogil + npy_intp* NpyIter_GetInnerLoopSizePtr(NpyIter* it) nogil + void NpyIter_GetInnerFixedStrideArray(NpyIter* it, npy_intp* outstrides) nogil + npy_bool NpyIter_IterationNeedsAPI(NpyIter* it) nogil + void NpyIter_DebugPrint(NpyIter* it) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.pxd b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.pxd new file mode 100644 index 0000000000000000000000000000000000000000..6a62a38200426043fe3259f06434473b8bd8bb5c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.pxd @@ -0,0 +1,1164 @@ +# NumPy static imports for Cython < 3.0 +# +# If any of the PyArray_* functions are called, import_array must be +# called first. +# +# Author: Dag Sverre Seljebotn +# + +DEF _buffer_format_string_len = 255 + +cimport cpython.buffer as pybuf +from cpython.ref cimport Py_INCREF +from cpython.mem cimport PyObject_Malloc, PyObject_Free +from cpython.object cimport PyObject, PyTypeObject +from cpython.buffer cimport PyObject_GetBuffer +from cpython.type cimport type +cimport libc.stdio as stdio + + +cdef extern from *: + # Leave a marker that the NumPy declarations came from NumPy itself and not from Cython. + # See https://github.com/cython/cython/issues/3573 + """ + /* Using NumPy API declarations from "numpy/__init__.pxd" */ + """ + + +cdef extern from "Python.h": + ctypedef int Py_intptr_t + bint PyObject_TypeCheck(object obj, PyTypeObject* type) + +cdef extern from "numpy/arrayobject.h": + # It would be nice to use size_t and ssize_t, but ssize_t has special + # implicit conversion rules, so just use "long". + # Note: The actual type only matters for Cython promotion, so long + # is closer than int, but could lead to incorrect promotion. + # (Not to worrying, and always the status-quo.) + ctypedef signed long npy_intp + ctypedef unsigned long npy_uintp + + ctypedef unsigned char npy_bool + + ctypedef signed char npy_byte + ctypedef signed short npy_short + ctypedef signed int npy_int + ctypedef signed long npy_long + ctypedef signed long long npy_longlong + + ctypedef unsigned char npy_ubyte + ctypedef unsigned short npy_ushort + ctypedef unsigned int npy_uint + ctypedef unsigned long npy_ulong + ctypedef unsigned long long npy_ulonglong + + ctypedef float npy_float + ctypedef double npy_double + ctypedef long double npy_longdouble + + ctypedef signed char npy_int8 + ctypedef signed short npy_int16 + ctypedef signed int npy_int32 + ctypedef signed long long npy_int64 + ctypedef signed long long npy_int96 + ctypedef signed long long npy_int128 + + ctypedef unsigned char npy_uint8 + ctypedef unsigned short npy_uint16 + ctypedef unsigned int npy_uint32 + ctypedef unsigned long long npy_uint64 + ctypedef unsigned long long npy_uint96 + ctypedef unsigned long long npy_uint128 + + ctypedef float npy_float32 + ctypedef double npy_float64 + ctypedef long double npy_float80 + ctypedef long double npy_float96 + ctypedef long double npy_float128 + + ctypedef struct npy_cfloat: + pass + + ctypedef struct npy_cdouble: + pass + + ctypedef struct npy_clongdouble: + pass + + ctypedef struct npy_complex64: + pass + + ctypedef struct npy_complex128: + pass + + ctypedef struct npy_complex160: + pass + + ctypedef struct npy_complex192: + pass + + ctypedef struct npy_complex256: + pass + + ctypedef struct PyArray_Dims: + npy_intp *ptr + int len + + + cdef enum NPY_TYPES: + NPY_BOOL + NPY_BYTE + NPY_UBYTE + NPY_SHORT + NPY_USHORT + NPY_INT + NPY_UINT + NPY_LONG + NPY_ULONG + NPY_LONGLONG + NPY_ULONGLONG + NPY_FLOAT + NPY_DOUBLE + NPY_LONGDOUBLE + NPY_CFLOAT + NPY_CDOUBLE + NPY_CLONGDOUBLE + NPY_OBJECT + NPY_STRING + NPY_UNICODE + NPY_VOID + NPY_DATETIME + NPY_TIMEDELTA + NPY_NTYPES_LEGACY + NPY_NOTYPE + + NPY_INT8 + NPY_INT16 + NPY_INT32 + NPY_INT64 + NPY_INT128 + NPY_INT256 + NPY_UINT8 + NPY_UINT16 + NPY_UINT32 + NPY_UINT64 + NPY_UINT128 + NPY_UINT256 + NPY_FLOAT16 + NPY_FLOAT32 + NPY_FLOAT64 + NPY_FLOAT80 + NPY_FLOAT96 + NPY_FLOAT128 + NPY_FLOAT256 + NPY_COMPLEX32 + NPY_COMPLEX64 + NPY_COMPLEX128 + NPY_COMPLEX160 + NPY_COMPLEX192 + NPY_COMPLEX256 + NPY_COMPLEX512 + + NPY_INTP + NPY_UINTP + NPY_DEFAULT_INT # Not a compile time constant (normally)! + + ctypedef enum NPY_ORDER: + NPY_ANYORDER + NPY_CORDER + NPY_FORTRANORDER + NPY_KEEPORDER + + ctypedef enum NPY_CASTING: + NPY_NO_CASTING + NPY_EQUIV_CASTING + NPY_SAFE_CASTING + NPY_SAME_KIND_CASTING + NPY_UNSAFE_CASTING + + ctypedef enum NPY_CLIPMODE: + NPY_CLIP + NPY_WRAP + NPY_RAISE + + ctypedef enum NPY_SCALARKIND: + NPY_NOSCALAR, + NPY_BOOL_SCALAR, + NPY_INTPOS_SCALAR, + NPY_INTNEG_SCALAR, + NPY_FLOAT_SCALAR, + NPY_COMPLEX_SCALAR, + NPY_OBJECT_SCALAR + + ctypedef enum NPY_SORTKIND: + NPY_QUICKSORT + NPY_HEAPSORT + NPY_MERGESORT + + ctypedef enum NPY_SEARCHSIDE: + NPY_SEARCHLEFT + NPY_SEARCHRIGHT + + enum: + # DEPRECATED since NumPy 1.7 ! Do not use in new code! + NPY_C_CONTIGUOUS + NPY_F_CONTIGUOUS + NPY_CONTIGUOUS + NPY_FORTRAN + NPY_OWNDATA + NPY_FORCECAST + NPY_ENSURECOPY + NPY_ENSUREARRAY + NPY_ELEMENTSTRIDES + NPY_ALIGNED + NPY_NOTSWAPPED + NPY_WRITEABLE + NPY_ARR_HAS_DESCR + + NPY_BEHAVED + NPY_BEHAVED_NS + NPY_CARRAY + NPY_CARRAY_RO + NPY_FARRAY + NPY_FARRAY_RO + NPY_DEFAULT + + NPY_IN_ARRAY + NPY_OUT_ARRAY + NPY_INOUT_ARRAY + NPY_IN_FARRAY + NPY_OUT_FARRAY + NPY_INOUT_FARRAY + + NPY_UPDATE_ALL + + enum: + # Added in NumPy 1.7 to replace the deprecated enums above. + NPY_ARRAY_C_CONTIGUOUS + NPY_ARRAY_F_CONTIGUOUS + NPY_ARRAY_OWNDATA + NPY_ARRAY_FORCECAST + NPY_ARRAY_ENSURECOPY + NPY_ARRAY_ENSUREARRAY + NPY_ARRAY_ELEMENTSTRIDES + NPY_ARRAY_ALIGNED + NPY_ARRAY_NOTSWAPPED + NPY_ARRAY_WRITEABLE + NPY_ARRAY_WRITEBACKIFCOPY + + NPY_ARRAY_BEHAVED + NPY_ARRAY_BEHAVED_NS + NPY_ARRAY_CARRAY + NPY_ARRAY_CARRAY_RO + NPY_ARRAY_FARRAY + NPY_ARRAY_FARRAY_RO + NPY_ARRAY_DEFAULT + + NPY_ARRAY_IN_ARRAY + NPY_ARRAY_OUT_ARRAY + NPY_ARRAY_INOUT_ARRAY + NPY_ARRAY_IN_FARRAY + NPY_ARRAY_OUT_FARRAY + NPY_ARRAY_INOUT_FARRAY + + NPY_ARRAY_UPDATE_ALL + + cdef enum: + NPY_MAXDIMS # 64 on NumPy 2.x and 32 on NumPy 1.x + NPY_RAVEL_AXIS # Used for functions like PyArray_Mean + + ctypedef void (*PyArray_VectorUnaryFunc)(void *, void *, npy_intp, void *, void *) + + ctypedef struct PyArray_ArrayDescr: + # shape is a tuple, but Cython doesn't support "tuple shape" + # inside a non-PyObject declaration, so we have to declare it + # as just a PyObject*. + PyObject* shape + + ctypedef struct PyArray_Descr: + pass + + ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]: + # Use PyDataType_* macros when possible, however there are no macros + # for accessing some of the fields, so some are defined. + cdef PyTypeObject* typeobj + cdef char kind + cdef char type + # Numpy sometimes mutates this without warning (e.g. it'll + # sometimes change "|" to "<" in shared dtype objects on + # little-endian machines). If this matters to you, use + # PyArray_IsNativeByteOrder(dtype.byteorder) instead of + # directly accessing this field. + cdef char byteorder + # Flags are not directly accessible on Cython <3. Use PyDataType_FLAGS. + # cdef char flags + cdef int type_num + # itemsize/elsize, alignment, fields, names, and subarray must + # use the `PyDataType_*` accessor macros. With Cython 3 you can + # still use getter attributes `dtype.itemsize` + + ctypedef class numpy.flatiter [object PyArrayIterObject, check_size ignore]: + # Use through macros + pass + + ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]: + cdef int numiter + cdef npy_intp size, index + cdef int nd + cdef npy_intp *dimensions + cdef void **iters + + ctypedef struct PyArrayObject: + # For use in situations where ndarray can't replace PyArrayObject*, + # like PyArrayObject**. + pass + + ctypedef class numpy.ndarray [object PyArrayObject, check_size ignore]: + cdef __cythonbufferdefaults__ = {"mode": "strided"} + + cdef: + # Only taking a few of the most commonly used and stable fields. + # One should use PyArray_* macros instead to access the C fields. + char *data + int ndim "nd" + npy_intp *shape "dimensions" + npy_intp *strides + dtype descr # deprecated since NumPy 1.7 ! + PyObject* base # NOT PUBLIC, DO NOT USE ! + + + int _import_array() except -1 + # A second definition so _import_array isn't marked as used when we use it here. + # Do not use - subject to change any time. + int __pyx_import_array "_import_array"() except -1 + + # + # Macros from ndarrayobject.h + # + bint PyArray_CHKFLAGS(ndarray m, int flags) nogil + bint PyArray_IS_C_CONTIGUOUS(ndarray arr) nogil + bint PyArray_IS_F_CONTIGUOUS(ndarray arr) nogil + bint PyArray_ISCONTIGUOUS(ndarray m) nogil + bint PyArray_ISWRITEABLE(ndarray m) nogil + bint PyArray_ISALIGNED(ndarray m) nogil + + int PyArray_NDIM(ndarray) nogil + bint PyArray_ISONESEGMENT(ndarray) nogil + bint PyArray_ISFORTRAN(ndarray) nogil + int PyArray_FORTRANIF(ndarray) nogil + + void* PyArray_DATA(ndarray) nogil + char* PyArray_BYTES(ndarray) nogil + + npy_intp* PyArray_DIMS(ndarray) nogil + npy_intp* PyArray_STRIDES(ndarray) nogil + npy_intp PyArray_DIM(ndarray, size_t) nogil + npy_intp PyArray_STRIDE(ndarray, size_t) nogil + + PyObject *PyArray_BASE(ndarray) nogil # returns borrowed reference! + PyArray_Descr *PyArray_DESCR(ndarray) nogil # returns borrowed reference to dtype! + PyArray_Descr *PyArray_DTYPE(ndarray) nogil # returns borrowed reference to dtype! NP 1.7+ alias for descr. + int PyArray_FLAGS(ndarray) nogil + void PyArray_CLEARFLAGS(ndarray, int flags) nogil # Added in NumPy 1.7 + void PyArray_ENABLEFLAGS(ndarray, int flags) nogil # Added in NumPy 1.7 + npy_intp PyArray_ITEMSIZE(ndarray) nogil + int PyArray_TYPE(ndarray arr) nogil + + object PyArray_GETITEM(ndarray arr, void *itemptr) + int PyArray_SETITEM(ndarray arr, void *itemptr, object obj) except -1 + + bint PyTypeNum_ISBOOL(int) nogil + bint PyTypeNum_ISUNSIGNED(int) nogil + bint PyTypeNum_ISSIGNED(int) nogil + bint PyTypeNum_ISINTEGER(int) nogil + bint PyTypeNum_ISFLOAT(int) nogil + bint PyTypeNum_ISNUMBER(int) nogil + bint PyTypeNum_ISSTRING(int) nogil + bint PyTypeNum_ISCOMPLEX(int) nogil + bint PyTypeNum_ISFLEXIBLE(int) nogil + bint PyTypeNum_ISUSERDEF(int) nogil + bint PyTypeNum_ISEXTENDED(int) nogil + bint PyTypeNum_ISOBJECT(int) nogil + + npy_intp PyDataType_ELSIZE(dtype) nogil + npy_intp PyDataType_ALIGNMENT(dtype) nogil + PyObject* PyDataType_METADATA(dtype) nogil + PyArray_ArrayDescr* PyDataType_SUBARRAY(dtype) nogil + PyObject* PyDataType_NAMES(dtype) nogil + PyObject* PyDataType_FIELDS(dtype) nogil + + bint PyDataType_ISBOOL(dtype) nogil + bint PyDataType_ISUNSIGNED(dtype) nogil + bint PyDataType_ISSIGNED(dtype) nogil + bint PyDataType_ISINTEGER(dtype) nogil + bint PyDataType_ISFLOAT(dtype) nogil + bint PyDataType_ISNUMBER(dtype) nogil + bint PyDataType_ISSTRING(dtype) nogil + bint PyDataType_ISCOMPLEX(dtype) nogil + bint PyDataType_ISFLEXIBLE(dtype) nogil + bint PyDataType_ISUSERDEF(dtype) nogil + bint PyDataType_ISEXTENDED(dtype) nogil + bint PyDataType_ISOBJECT(dtype) nogil + bint PyDataType_HASFIELDS(dtype) nogil + bint PyDataType_HASSUBARRAY(dtype) nogil + npy_uint64 PyDataType_FLAGS(dtype) nogil + + bint PyArray_ISBOOL(ndarray) nogil + bint PyArray_ISUNSIGNED(ndarray) nogil + bint PyArray_ISSIGNED(ndarray) nogil + bint PyArray_ISINTEGER(ndarray) nogil + bint PyArray_ISFLOAT(ndarray) nogil + bint PyArray_ISNUMBER(ndarray) nogil + bint PyArray_ISSTRING(ndarray) nogil + bint PyArray_ISCOMPLEX(ndarray) nogil + bint PyArray_ISFLEXIBLE(ndarray) nogil + bint PyArray_ISUSERDEF(ndarray) nogil + bint PyArray_ISEXTENDED(ndarray) nogil + bint PyArray_ISOBJECT(ndarray) nogil + bint PyArray_HASFIELDS(ndarray) nogil + + bint PyArray_ISVARIABLE(ndarray) nogil + + bint PyArray_SAFEALIGNEDCOPY(ndarray) nogil + bint PyArray_ISNBO(char) nogil # works on ndarray.byteorder + bint PyArray_IsNativeByteOrder(char) nogil # works on ndarray.byteorder + bint PyArray_ISNOTSWAPPED(ndarray) nogil + bint PyArray_ISBYTESWAPPED(ndarray) nogil + + bint PyArray_FLAGSWAP(ndarray, int) nogil + + bint PyArray_ISCARRAY(ndarray) nogil + bint PyArray_ISCARRAY_RO(ndarray) nogil + bint PyArray_ISFARRAY(ndarray) nogil + bint PyArray_ISFARRAY_RO(ndarray) nogil + bint PyArray_ISBEHAVED(ndarray) nogil + bint PyArray_ISBEHAVED_RO(ndarray) nogil + + + bint PyDataType_ISNOTSWAPPED(dtype) nogil + bint PyDataType_ISBYTESWAPPED(dtype) nogil + + bint PyArray_DescrCheck(object) + + bint PyArray_Check(object) + bint PyArray_CheckExact(object) + + # Cannot be supported due to out arg: + # bint PyArray_HasArrayInterfaceType(object, dtype, object, object&) + # bint PyArray_HasArrayInterface(op, out) + + + bint PyArray_IsZeroDim(object) + # Cannot be supported due to ## ## in macro: + # bint PyArray_IsScalar(object, verbatim work) + bint PyArray_CheckScalar(object) + bint PyArray_IsPythonNumber(object) + bint PyArray_IsPythonScalar(object) + bint PyArray_IsAnyScalar(object) + bint PyArray_CheckAnyScalar(object) + + ndarray PyArray_GETCONTIGUOUS(ndarray) + bint PyArray_SAMESHAPE(ndarray, ndarray) nogil + npy_intp PyArray_SIZE(ndarray) nogil + npy_intp PyArray_NBYTES(ndarray) nogil + + object PyArray_FROM_O(object) + object PyArray_FROM_OF(object m, int flags) + object PyArray_FROM_OT(object m, int type) + object PyArray_FROM_OTF(object m, int type, int flags) + object PyArray_FROMANY(object m, int type, int min, int max, int flags) + object PyArray_ZEROS(int nd, npy_intp* dims, int type, int fortran) + object PyArray_EMPTY(int nd, npy_intp* dims, int type, int fortran) + void PyArray_FILLWBYTE(ndarray, int val) + object PyArray_ContiguousFromAny(op, int, int min_depth, int max_depth) + unsigned char PyArray_EquivArrTypes(ndarray a1, ndarray a2) + bint PyArray_EquivByteorders(int b1, int b2) nogil + object PyArray_SimpleNew(int nd, npy_intp* dims, int typenum) + object PyArray_SimpleNewFromData(int nd, npy_intp* dims, int typenum, void* data) + #object PyArray_SimpleNewFromDescr(int nd, npy_intp* dims, dtype descr) + object PyArray_ToScalar(void* data, ndarray arr) + + void* PyArray_GETPTR1(ndarray m, npy_intp i) nogil + void* PyArray_GETPTR2(ndarray m, npy_intp i, npy_intp j) nogil + void* PyArray_GETPTR3(ndarray m, npy_intp i, npy_intp j, npy_intp k) nogil + void* PyArray_GETPTR4(ndarray m, npy_intp i, npy_intp j, npy_intp k, npy_intp l) nogil + + # Cannot be supported due to out arg + # void PyArray_DESCR_REPLACE(descr) + + + object PyArray_Copy(ndarray) + object PyArray_FromObject(object op, int type, int min_depth, int max_depth) + object PyArray_ContiguousFromObject(object op, int type, int min_depth, int max_depth) + object PyArray_CopyFromObject(object op, int type, int min_depth, int max_depth) + + object PyArray_Cast(ndarray mp, int type_num) + object PyArray_Take(ndarray ap, object items, int axis) + object PyArray_Put(ndarray ap, object items, object values) + + void PyArray_ITER_RESET(flatiter it) nogil + void PyArray_ITER_NEXT(flatiter it) nogil + void PyArray_ITER_GOTO(flatiter it, npy_intp* destination) nogil + void PyArray_ITER_GOTO1D(flatiter it, npy_intp ind) nogil + void* PyArray_ITER_DATA(flatiter it) nogil + bint PyArray_ITER_NOTDONE(flatiter it) nogil + + void PyArray_MultiIter_RESET(broadcast multi) nogil + void PyArray_MultiIter_NEXT(broadcast multi) nogil + void PyArray_MultiIter_GOTO(broadcast multi, npy_intp dest) nogil + void PyArray_MultiIter_GOTO1D(broadcast multi, npy_intp ind) nogil + void* PyArray_MultiIter_DATA(broadcast multi, npy_intp i) nogil + void PyArray_MultiIter_NEXTi(broadcast multi, npy_intp i) nogil + bint PyArray_MultiIter_NOTDONE(broadcast multi) nogil + npy_intp PyArray_MultiIter_SIZE(broadcast multi) nogil + int PyArray_MultiIter_NDIM(broadcast multi) nogil + npy_intp PyArray_MultiIter_INDEX(broadcast multi) nogil + int PyArray_MultiIter_NUMITER(broadcast multi) nogil + npy_intp* PyArray_MultiIter_DIMS(broadcast multi) nogil + void** PyArray_MultiIter_ITERS(broadcast multi) nogil + + # Functions from __multiarray_api.h + + # Functions taking dtype and returning object/ndarray are disabled + # for now as they steal dtype references. I'm conservative and disable + # more than is probably needed until it can be checked further. + int PyArray_INCREF (ndarray) except * # uses PyArray_Item_INCREF... + int PyArray_XDECREF (ndarray) except * # uses PyArray_Item_DECREF... + dtype PyArray_DescrFromType (int) + object PyArray_TypeObjectFromType (int) + char * PyArray_Zero (ndarray) + char * PyArray_One (ndarray) + #object PyArray_CastToType (ndarray, dtype, int) + int PyArray_CanCastSafely (int, int) # writes errors + npy_bool PyArray_CanCastTo (dtype, dtype) # writes errors + int PyArray_ObjectType (object, int) except 0 + dtype PyArray_DescrFromObject (object, dtype) + #ndarray* PyArray_ConvertToCommonType (object, int *) + dtype PyArray_DescrFromScalar (object) + dtype PyArray_DescrFromTypeObject (object) + npy_intp PyArray_Size (object) + #object PyArray_Scalar (void *, dtype, object) + #object PyArray_FromScalar (object, dtype) + void PyArray_ScalarAsCtype (object, void *) + #int PyArray_CastScalarToCtype (object, void *, dtype) + #int PyArray_CastScalarDirect (object, dtype, void *, int) + #PyArray_VectorUnaryFunc * PyArray_GetCastFunc (dtype, int) + #object PyArray_FromAny (object, dtype, int, int, int, object) + object PyArray_EnsureArray (object) + object PyArray_EnsureAnyArray (object) + #object PyArray_FromFile (stdio.FILE *, dtype, npy_intp, char *) + #object PyArray_FromString (char *, npy_intp, dtype, npy_intp, char *) + #object PyArray_FromBuffer (object, dtype, npy_intp, npy_intp) + #object PyArray_FromIter (object, dtype, npy_intp) + object PyArray_Return (ndarray) + #object PyArray_GetField (ndarray, dtype, int) + #int PyArray_SetField (ndarray, dtype, int, object) except -1 + object PyArray_Byteswap (ndarray, npy_bool) + object PyArray_Resize (ndarray, PyArray_Dims *, int, NPY_ORDER) + int PyArray_CopyInto (ndarray, ndarray) except -1 + int PyArray_CopyAnyInto (ndarray, ndarray) except -1 + int PyArray_CopyObject (ndarray, object) except -1 + object PyArray_NewCopy (ndarray, NPY_ORDER) + object PyArray_ToList (ndarray) + object PyArray_ToString (ndarray, NPY_ORDER) + int PyArray_ToFile (ndarray, stdio.FILE *, char *, char *) except -1 + int PyArray_Dump (object, object, int) except -1 + object PyArray_Dumps (object, int) + int PyArray_ValidType (int) # Cannot error + void PyArray_UpdateFlags (ndarray, int) + object PyArray_New (type, int, npy_intp *, int, npy_intp *, void *, int, int, object) + #object PyArray_NewFromDescr (type, dtype, int, npy_intp *, npy_intp *, void *, int, object) + #dtype PyArray_DescrNew (dtype) + dtype PyArray_DescrNewFromType (int) + double PyArray_GetPriority (object, double) # clears errors as of 1.25 + object PyArray_IterNew (object) + object PyArray_MultiIterNew (int, ...) + + int PyArray_PyIntAsInt (object) except? -1 + npy_intp PyArray_PyIntAsIntp (object) + int PyArray_Broadcast (broadcast) except -1 + int PyArray_FillWithScalar (ndarray, object) except -1 + npy_bool PyArray_CheckStrides (int, int, npy_intp, npy_intp, npy_intp *, npy_intp *) + dtype PyArray_DescrNewByteorder (dtype, char) + object PyArray_IterAllButAxis (object, int *) + #object PyArray_CheckFromAny (object, dtype, int, int, int, object) + #object PyArray_FromArray (ndarray, dtype, int) + object PyArray_FromInterface (object) + object PyArray_FromStructInterface (object) + #object PyArray_FromArrayAttr (object, dtype, object) + #NPY_SCALARKIND PyArray_ScalarKind (int, ndarray*) + int PyArray_CanCoerceScalar (int, int, NPY_SCALARKIND) + npy_bool PyArray_CanCastScalar (type, type) + int PyArray_RemoveSmallest (broadcast) except -1 + int PyArray_ElementStrides (object) + void PyArray_Item_INCREF (char *, dtype) except * + void PyArray_Item_XDECREF (char *, dtype) except * + object PyArray_Transpose (ndarray, PyArray_Dims *) + object PyArray_TakeFrom (ndarray, object, int, ndarray, NPY_CLIPMODE) + object PyArray_PutTo (ndarray, object, object, NPY_CLIPMODE) + object PyArray_PutMask (ndarray, object, object) + object PyArray_Repeat (ndarray, object, int) + object PyArray_Choose (ndarray, object, ndarray, NPY_CLIPMODE) + int PyArray_Sort (ndarray, int, NPY_SORTKIND) except -1 + object PyArray_ArgSort (ndarray, int, NPY_SORTKIND) + object PyArray_SearchSorted (ndarray, object, NPY_SEARCHSIDE, PyObject *) + object PyArray_ArgMax (ndarray, int, ndarray) + object PyArray_ArgMin (ndarray, int, ndarray) + object PyArray_Reshape (ndarray, object) + object PyArray_Newshape (ndarray, PyArray_Dims *, NPY_ORDER) + object PyArray_Squeeze (ndarray) + #object PyArray_View (ndarray, dtype, type) + object PyArray_SwapAxes (ndarray, int, int) + object PyArray_Max (ndarray, int, ndarray) + object PyArray_Min (ndarray, int, ndarray) + object PyArray_Ptp (ndarray, int, ndarray) + object PyArray_Mean (ndarray, int, int, ndarray) + object PyArray_Trace (ndarray, int, int, int, int, ndarray) + object PyArray_Diagonal (ndarray, int, int, int) + object PyArray_Clip (ndarray, object, object, ndarray) + object PyArray_Conjugate (ndarray, ndarray) + object PyArray_Nonzero (ndarray) + object PyArray_Std (ndarray, int, int, ndarray, int) + object PyArray_Sum (ndarray, int, int, ndarray) + object PyArray_CumSum (ndarray, int, int, ndarray) + object PyArray_Prod (ndarray, int, int, ndarray) + object PyArray_CumProd (ndarray, int, int, ndarray) + object PyArray_All (ndarray, int, ndarray) + object PyArray_Any (ndarray, int, ndarray) + object PyArray_Compress (ndarray, object, int, ndarray) + object PyArray_Flatten (ndarray, NPY_ORDER) + object PyArray_Ravel (ndarray, NPY_ORDER) + npy_intp PyArray_MultiplyList (npy_intp *, int) + int PyArray_MultiplyIntList (int *, int) + void * PyArray_GetPtr (ndarray, npy_intp*) + int PyArray_CompareLists (npy_intp *, npy_intp *, int) + #int PyArray_AsCArray (object*, void *, npy_intp *, int, dtype) + int PyArray_Free (object, void *) + #int PyArray_Converter (object, object*) + int PyArray_IntpFromSequence (object, npy_intp *, int) except -1 + object PyArray_Concatenate (object, int) + object PyArray_InnerProduct (object, object) + object PyArray_MatrixProduct (object, object) + object PyArray_Correlate (object, object, int) + #int PyArray_DescrConverter (object, dtype*) except 0 + #int PyArray_DescrConverter2 (object, dtype*) except 0 + int PyArray_IntpConverter (object, PyArray_Dims *) except 0 + #int PyArray_BufferConverter (object, chunk) except 0 + int PyArray_AxisConverter (object, int *) except 0 + int PyArray_BoolConverter (object, npy_bool *) except 0 + int PyArray_ByteorderConverter (object, char *) except 0 + int PyArray_OrderConverter (object, NPY_ORDER *) except 0 + unsigned char PyArray_EquivTypes (dtype, dtype) # clears errors + #object PyArray_Zeros (int, npy_intp *, dtype, int) + #object PyArray_Empty (int, npy_intp *, dtype, int) + object PyArray_Where (object, object, object) + object PyArray_Arange (double, double, double, int) + #object PyArray_ArangeObj (object, object, object, dtype) + int PyArray_SortkindConverter (object, NPY_SORTKIND *) except 0 + object PyArray_LexSort (object, int) + object PyArray_Round (ndarray, int, ndarray) + unsigned char PyArray_EquivTypenums (int, int) + int PyArray_RegisterDataType (dtype) except -1 + int PyArray_RegisterCastFunc (dtype, int, PyArray_VectorUnaryFunc *) except -1 + int PyArray_RegisterCanCast (dtype, int, NPY_SCALARKIND) except -1 + #void PyArray_InitArrFuncs (PyArray_ArrFuncs *) + object PyArray_IntTupleFromIntp (int, npy_intp *) + int PyArray_ClipmodeConverter (object, NPY_CLIPMODE *) except 0 + #int PyArray_OutputConverter (object, ndarray*) except 0 + object PyArray_BroadcastToShape (object, npy_intp *, int) + #int PyArray_DescrAlignConverter (object, dtype*) except 0 + #int PyArray_DescrAlignConverter2 (object, dtype*) except 0 + int PyArray_SearchsideConverter (object, void *) except 0 + object PyArray_CheckAxis (ndarray, int *, int) + npy_intp PyArray_OverflowMultiplyList (npy_intp *, int) + int PyArray_SetBaseObject(ndarray, base) except -1 # NOTE: steals a reference to base! Use "set_array_base()" instead. + + # The memory handler functions require the NumPy 1.22 API + # and may require defining NPY_TARGET_VERSION + ctypedef struct PyDataMemAllocator: + void *ctx + void* (*malloc) (void *ctx, size_t size) + void* (*calloc) (void *ctx, size_t nelem, size_t elsize) + void* (*realloc) (void *ctx, void *ptr, size_t new_size) + void (*free) (void *ctx, void *ptr, size_t size) + + ctypedef struct PyDataMem_Handler: + char* name + npy_uint8 version + PyDataMemAllocator allocator + + object PyDataMem_SetHandler(object handler) + object PyDataMem_GetHandler() + + # additional datetime related functions are defined below + + +# Typedefs that matches the runtime dtype objects in +# the numpy module. + +# The ones that are commented out needs an IFDEF function +# in Cython to enable them only on the right systems. + +ctypedef npy_int8 int8_t +ctypedef npy_int16 int16_t +ctypedef npy_int32 int32_t +ctypedef npy_int64 int64_t +#ctypedef npy_int96 int96_t +#ctypedef npy_int128 int128_t + +ctypedef npy_uint8 uint8_t +ctypedef npy_uint16 uint16_t +ctypedef npy_uint32 uint32_t +ctypedef npy_uint64 uint64_t +#ctypedef npy_uint96 uint96_t +#ctypedef npy_uint128 uint128_t + +ctypedef npy_float32 float32_t +ctypedef npy_float64 float64_t +#ctypedef npy_float80 float80_t +#ctypedef npy_float128 float128_t + +ctypedef float complex complex64_t +ctypedef double complex complex128_t + +ctypedef npy_longlong longlong_t +ctypedef npy_ulonglong ulonglong_t + +ctypedef npy_intp intp_t +ctypedef npy_uintp uintp_t + +ctypedef npy_double float_t +ctypedef npy_double double_t +ctypedef npy_longdouble longdouble_t + +ctypedef float complex cfloat_t +ctypedef double complex cdouble_t +ctypedef double complex complex_t +ctypedef long double complex clongdouble_t + +cdef inline object PyArray_MultiIterNew1(a): + return PyArray_MultiIterNew(1, a) + +cdef inline object PyArray_MultiIterNew2(a, b): + return PyArray_MultiIterNew(2, a, b) + +cdef inline object PyArray_MultiIterNew3(a, b, c): + return PyArray_MultiIterNew(3, a, b, c) + +cdef inline object PyArray_MultiIterNew4(a, b, c, d): + return PyArray_MultiIterNew(4, a, b, c, d) + +cdef inline object PyArray_MultiIterNew5(a, b, c, d, e): + return PyArray_MultiIterNew(5, a, b, c, d, e) + +cdef inline tuple PyDataType_SHAPE(dtype d): + if PyDataType_HASSUBARRAY(d): + return d.subarray.shape + else: + return () + + +cdef extern from "numpy/ndarrayobject.h": + PyTypeObject PyTimedeltaArrType_Type + PyTypeObject PyDatetimeArrType_Type + ctypedef int64_t npy_timedelta + ctypedef int64_t npy_datetime + +cdef extern from "numpy/ndarraytypes.h": + ctypedef struct PyArray_DatetimeMetaData: + NPY_DATETIMEUNIT base + int64_t num + + ctypedef struct npy_datetimestruct: + int64_t year + int32_t month, day, hour, min, sec, us, ps, as + + # Iterator API added in v1.6 + # + # These don't match the definition in the C API because Cython can't wrap + # function pointers that return functions. + # https://github.com/cython/cython/issues/6720 + ctypedef int (*NpyIter_IterNextFunc "NpyIter_IterNextFunc *")(NpyIter* it) noexcept nogil + ctypedef void (*NpyIter_GetMultiIndexFunc "NpyIter_GetMultiIndexFunc *")(NpyIter* it, npy_intp* outcoords) noexcept nogil + +cdef extern from "numpy/arrayscalars.h": + + # abstract types + ctypedef class numpy.generic [object PyObject]: + pass + ctypedef class numpy.number [object PyObject]: + pass + ctypedef class numpy.integer [object PyObject]: + pass + ctypedef class numpy.signedinteger [object PyObject]: + pass + ctypedef class numpy.unsignedinteger [object PyObject]: + pass + ctypedef class numpy.inexact [object PyObject]: + pass + ctypedef class numpy.floating [object PyObject]: + pass + ctypedef class numpy.complexfloating [object PyObject]: + pass + ctypedef class numpy.flexible [object PyObject]: + pass + ctypedef class numpy.character [object PyObject]: + pass + + ctypedef struct PyDatetimeScalarObject: + # PyObject_HEAD + npy_datetime obval + PyArray_DatetimeMetaData obmeta + + ctypedef struct PyTimedeltaScalarObject: + # PyObject_HEAD + npy_timedelta obval + PyArray_DatetimeMetaData obmeta + + ctypedef enum NPY_DATETIMEUNIT: + NPY_FR_Y + NPY_FR_M + NPY_FR_W + NPY_FR_D + NPY_FR_B + NPY_FR_h + NPY_FR_m + NPY_FR_s + NPY_FR_ms + NPY_FR_us + NPY_FR_ns + NPY_FR_ps + NPY_FR_fs + NPY_FR_as + NPY_FR_GENERIC + + +cdef extern from "numpy/arrayobject.h": + # These are part of the C-API defined in `__multiarray_api.h` + + # NumPy internal definitions in datetime_strings.c: + int get_datetime_iso_8601_strlen "NpyDatetime_GetDatetimeISO8601StrLen" ( + int local, NPY_DATETIMEUNIT base) + int make_iso_8601_datetime "NpyDatetime_MakeISO8601Datetime" ( + npy_datetimestruct *dts, char *outstr, npy_intp outlen, + int local, int utc, NPY_DATETIMEUNIT base, int tzoffset, + NPY_CASTING casting) except -1 + + # NumPy internal definition in datetime.c: + # May return 1 to indicate that object does not appear to be a datetime + # (returns 0 on success). + int convert_pydatetime_to_datetimestruct "NpyDatetime_ConvertPyDateTimeToDatetimeStruct" ( + PyObject *obj, npy_datetimestruct *out, + NPY_DATETIMEUNIT *out_bestunit, int apply_tzinfo) except -1 + int convert_datetime64_to_datetimestruct "NpyDatetime_ConvertDatetime64ToDatetimeStruct" ( + PyArray_DatetimeMetaData *meta, npy_datetime dt, + npy_datetimestruct *out) except -1 + int convert_datetimestruct_to_datetime64 "NpyDatetime_ConvertDatetimeStructToDatetime64"( + PyArray_DatetimeMetaData *meta, const npy_datetimestruct *dts, + npy_datetime *out) except -1 + + +# +# ufunc API +# + +cdef extern from "numpy/ufuncobject.h": + + ctypedef void (*PyUFuncGenericFunction) (char **, npy_intp *, npy_intp *, void *) + + ctypedef class numpy.ufunc [object PyUFuncObject, check_size ignore]: + cdef: + int nin, nout, nargs + int identity + PyUFuncGenericFunction *functions + void **data + int ntypes + int check_return + char *name + char *types + char *doc + void *ptr + PyObject *obj + PyObject *userloops + + cdef enum: + PyUFunc_Zero + PyUFunc_One + PyUFunc_None + UFUNC_FPE_DIVIDEBYZERO + UFUNC_FPE_OVERFLOW + UFUNC_FPE_UNDERFLOW + UFUNC_FPE_INVALID + + object PyUFunc_FromFuncAndData(PyUFuncGenericFunction *, + void **, char *, int, int, int, int, char *, char *, int) + int PyUFunc_RegisterLoopForType(ufunc, int, + PyUFuncGenericFunction, int *, void *) except -1 + void PyUFunc_f_f_As_d_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_d_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_f_f \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_g_g \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_F_F_As_D_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_F_F \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_D_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_G_G \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_O_O \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_ff_f_As_dd_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_ff_f \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_dd_d \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_gg_g \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_FF_F_As_DD_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_DD_D \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_FF_F \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_GG_G \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_OO_O \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_O_O_method \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_OO_O_method \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_On_Om \ + (char **, npy_intp *, npy_intp *, void *) + void PyUFunc_clearfperr() + int PyUFunc_getfperr() + int PyUFunc_ReplaceLoopBySignature \ + (ufunc, PyUFuncGenericFunction, int *, PyUFuncGenericFunction *) + object PyUFunc_FromFuncAndDataAndSignature \ + (PyUFuncGenericFunction *, void **, char *, int, int, int, + int, char *, char *, int, char *) + + int _import_umath() except -1 + +cdef inline void set_array_base(ndarray arr, object base): + Py_INCREF(base) # important to do this before stealing the reference below! + PyArray_SetBaseObject(arr, base) + +cdef inline object get_array_base(ndarray arr): + base = PyArray_BASE(arr) + if base is NULL: + return None + return base + +# Versions of the import_* functions which are more suitable for +# Cython code. +cdef inline int import_array() except -1: + try: + __pyx_import_array() + except Exception: + raise ImportError("numpy._core.multiarray failed to import") + +cdef inline int import_umath() except -1: + try: + _import_umath() + except Exception: + raise ImportError("numpy._core.umath failed to import") + +cdef inline int import_ufunc() except -1: + try: + _import_umath() + except Exception: + raise ImportError("numpy._core.umath failed to import") + + +cdef inline bint is_timedelta64_object(object obj): + """ + Cython equivalent of `isinstance(obj, np.timedelta64)` + + Parameters + ---------- + obj : object + + Returns + ------- + bool + """ + return PyObject_TypeCheck(obj, &PyTimedeltaArrType_Type) + + +cdef inline bint is_datetime64_object(object obj): + """ + Cython equivalent of `isinstance(obj, np.datetime64)` + + Parameters + ---------- + obj : object + + Returns + ------- + bool + """ + return PyObject_TypeCheck(obj, &PyDatetimeArrType_Type) + + +cdef inline npy_datetime get_datetime64_value(object obj) nogil: + """ + returns the int64 value underlying scalar numpy datetime64 object + + Note that to interpret this as a datetime, the corresponding unit is + also needed. That can be found using `get_datetime64_unit`. + """ + return (obj).obval + + +cdef inline npy_timedelta get_timedelta64_value(object obj) nogil: + """ + returns the int64 value underlying scalar numpy timedelta64 object + """ + return (obj).obval + + +cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) nogil: + """ + returns the unit part of the dtype for a numpy datetime64 object. + """ + return (obj).obmeta.base + + +cdef extern from "numpy/arrayobject.h": + + ctypedef struct NpyIter: + pass + + cdef enum: + NPY_FAIL + NPY_SUCCEED + + cdef enum: + # Track an index representing C order + NPY_ITER_C_INDEX + # Track an index representing Fortran order + NPY_ITER_F_INDEX + # Track a multi-index + NPY_ITER_MULTI_INDEX + # User code external to the iterator does the 1-dimensional innermost loop + NPY_ITER_EXTERNAL_LOOP + # Convert all the operands to a common data type + NPY_ITER_COMMON_DTYPE + # Operands may hold references, requiring API access during iteration + NPY_ITER_REFS_OK + # Zero-sized operands should be permitted, iteration checks IterSize for 0 + NPY_ITER_ZEROSIZE_OK + # Permits reductions (size-0 stride with dimension size > 1) + NPY_ITER_REDUCE_OK + # Enables sub-range iteration + NPY_ITER_RANGED + # Enables buffering + NPY_ITER_BUFFERED + # When buffering is enabled, grows the inner loop if possible + NPY_ITER_GROWINNER + # Delay allocation of buffers until first Reset* call + NPY_ITER_DELAY_BUFALLOC + # When NPY_KEEPORDER is specified, disable reversing negative-stride axes + NPY_ITER_DONT_NEGATE_STRIDES + NPY_ITER_COPY_IF_OVERLAP + # The operand will be read from and written to + NPY_ITER_READWRITE + # The operand will only be read from + NPY_ITER_READONLY + # The operand will only be written to + NPY_ITER_WRITEONLY + # The operand's data must be in native byte order + NPY_ITER_NBO + # The operand's data must be aligned + NPY_ITER_ALIGNED + # The operand's data must be contiguous (within the inner loop) + NPY_ITER_CONTIG + # The operand may be copied to satisfy requirements + NPY_ITER_COPY + # The operand may be copied with WRITEBACKIFCOPY to satisfy requirements + NPY_ITER_UPDATEIFCOPY + # Allocate the operand if it is NULL + NPY_ITER_ALLOCATE + # If an operand is allocated, don't use any subtype + NPY_ITER_NO_SUBTYPE + # This is a virtual array slot, operand is NULL but temporary data is there + NPY_ITER_VIRTUAL + # Require that the dimension match the iterator dimensions exactly + NPY_ITER_NO_BROADCAST + # A mask is being used on this array, affects buffer -> array copy + NPY_ITER_WRITEMASKED + # This array is the mask for all WRITEMASKED operands + NPY_ITER_ARRAYMASK + # Assume iterator order data access for COPY_IF_OVERLAP + NPY_ITER_OVERLAP_ASSUME_ELEMENTWISE + + # construction and destruction functions + NpyIter* NpyIter_New(ndarray arr, npy_uint32 flags, NPY_ORDER order, + NPY_CASTING casting, dtype datatype) except NULL + NpyIter* NpyIter_MultiNew(npy_intp nop, PyArrayObject** op, npy_uint32 flags, + NPY_ORDER order, NPY_CASTING casting, npy_uint32* + op_flags, PyArray_Descr** op_dtypes) except NULL + NpyIter* NpyIter_AdvancedNew(npy_intp nop, PyArrayObject** op, + npy_uint32 flags, NPY_ORDER order, + NPY_CASTING casting, npy_uint32* op_flags, + PyArray_Descr** op_dtypes, int oa_ndim, + int** op_axes, const npy_intp* itershape, + npy_intp buffersize) except NULL + NpyIter* NpyIter_Copy(NpyIter* it) except NULL + int NpyIter_RemoveAxis(NpyIter* it, int axis) except NPY_FAIL + int NpyIter_RemoveMultiIndex(NpyIter* it) except NPY_FAIL + int NpyIter_EnableExternalLoop(NpyIter* it) except NPY_FAIL + int NpyIter_Deallocate(NpyIter* it) except NPY_FAIL + int NpyIter_Reset(NpyIter* it, char** errmsg) except NPY_FAIL + int NpyIter_ResetToIterIndexRange(NpyIter* it, npy_intp istart, + npy_intp iend, char** errmsg) except NPY_FAIL + int NpyIter_ResetBasePointers(NpyIter* it, char** baseptrs, char** errmsg) except NPY_FAIL + int NpyIter_GotoMultiIndex(NpyIter* it, const npy_intp* multi_index) except NPY_FAIL + int NpyIter_GotoIndex(NpyIter* it, npy_intp index) except NPY_FAIL + npy_intp NpyIter_GetIterSize(NpyIter* it) nogil + npy_intp NpyIter_GetIterIndex(NpyIter* it) nogil + void NpyIter_GetIterIndexRange(NpyIter* it, npy_intp* istart, + npy_intp* iend) nogil + int NpyIter_GotoIterIndex(NpyIter* it, npy_intp iterindex) except NPY_FAIL + npy_bool NpyIter_HasDelayedBufAlloc(NpyIter* it) nogil + npy_bool NpyIter_HasExternalLoop(NpyIter* it) nogil + npy_bool NpyIter_HasMultiIndex(NpyIter* it) nogil + npy_bool NpyIter_HasIndex(NpyIter* it) nogil + npy_bool NpyIter_RequiresBuffering(NpyIter* it) nogil + npy_bool NpyIter_IsBuffered(NpyIter* it) nogil + npy_bool NpyIter_IsGrowInner(NpyIter* it) nogil + npy_intp NpyIter_GetBufferSize(NpyIter* it) nogil + int NpyIter_GetNDim(NpyIter* it) nogil + int NpyIter_GetNOp(NpyIter* it) nogil + npy_intp* NpyIter_GetAxisStrideArray(NpyIter* it, int axis) except NULL + int NpyIter_GetShape(NpyIter* it, npy_intp* outshape) nogil + PyArray_Descr** NpyIter_GetDescrArray(NpyIter* it) + PyArrayObject** NpyIter_GetOperandArray(NpyIter* it) + ndarray NpyIter_GetIterView(NpyIter* it, npy_intp i) + void NpyIter_GetReadFlags(NpyIter* it, char* outreadflags) + void NpyIter_GetWriteFlags(NpyIter* it, char* outwriteflags) + int NpyIter_CreateCompatibleStrides(NpyIter* it, npy_intp itemsize, + npy_intp* outstrides) except NPY_FAIL + npy_bool NpyIter_IsFirstVisit(NpyIter* it, int iop) nogil + # functions for iterating an NpyIter object + # + # These don't match the definition in the C API because Cython can't wrap + # function pointers that return functions. + NpyIter_IterNextFunc* NpyIter_GetIterNext(NpyIter* it, char** errmsg) except NULL + NpyIter_GetMultiIndexFunc* NpyIter_GetGetMultiIndex(NpyIter* it, + char** errmsg) except NULL + char** NpyIter_GetDataPtrArray(NpyIter* it) nogil + char** NpyIter_GetInitialDataPtrArray(NpyIter* it) nogil + npy_intp* NpyIter_GetIndexPtr(NpyIter* it) + npy_intp* NpyIter_GetInnerStrideArray(NpyIter* it) nogil + npy_intp* NpyIter_GetInnerLoopSizePtr(NpyIter* it) nogil + void NpyIter_GetInnerFixedStrideArray(NpyIter* it, npy_intp* outstrides) nogil + npy_bool NpyIter_IterationNeedsAPI(NpyIter* it) nogil + void NpyIter_DebugPrint(NpyIter* it) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..2a4fd03b6a445cb98a214c28eff14b157aaea458 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.py @@ -0,0 +1,547 @@ +""" +NumPy +===== + +Provides + 1. An array object of arbitrary homogeneous items + 2. Fast mathematical operations over arrays + 3. Linear Algebra, Fourier Transforms, Random Number Generation + +How to use the documentation +---------------------------- +Documentation is available in two forms: docstrings provided +with the code, and a loose standing reference guide, available from +`the NumPy homepage `_. + +We recommend exploring the docstrings using +`IPython `_, an advanced Python shell with +TAB-completion and introspection capabilities. See below for further +instructions. + +The docstring examples assume that `numpy` has been imported as ``np``:: + + >>> import numpy as np + +Code snippets are indicated by three greater-than signs:: + + >>> x = 42 + >>> x = x + 1 + +Use the built-in ``help`` function to view a function's docstring:: + + >>> help(np.sort) + ... # doctest: +SKIP + +For some objects, ``np.info(obj)`` may provide additional help. This is +particularly true if you see the line "Help on ufunc object:" at the top +of the help() page. Ufuncs are implemented in C, not Python, for speed. +The native Python help() does not know how to view their help, but our +np.info() function does. + +Available subpackages +--------------------- +lib + Basic functions used by several sub-packages. +random + Core Random Tools +linalg + Core Linear Algebra Tools +fft + Core FFT routines +polynomial + Polynomial tools +testing + NumPy testing tools +distutils + Enhancements to distutils with support for + Fortran compilers support and more (for Python <= 3.11) + +Utilities +--------- +test + Run numpy unittests +show_config + Show numpy build configuration +__version__ + NumPy version string + +Viewing documentation using IPython +----------------------------------- + +Start IPython and import `numpy` usually under the alias ``np``: `import +numpy as np`. Then, directly past or use the ``%cpaste`` magic to paste +examples into the shell. To see which functions are available in `numpy`, +type ``np.`` (where ```` refers to the TAB key), or use +``np.*cos*?`` (where ```` refers to the ENTER key) to narrow +down the list. To view the docstring for a function, use +``np.cos?`` (to view the docstring) and ``np.cos??`` (to view +the source code). + +Copies vs. in-place operation +----------------------------- +Most of the functions in `numpy` return a copy of the array argument +(e.g., `np.sort`). In-place versions of these functions are often +available as array methods, i.e. ``x = np.array([1,2,3]); x.sort()``. +Exceptions to this rule are documented. + +""" +import os +import sys +import warnings + +from ._globals import _NoValue, _CopyMode +from ._expired_attrs_2_0 import __expired_attributes__ + + +# If a version with git hash was stored, use that instead +from . import version +from .version import __version__ + +# We first need to detect if we're being called as part of the numpy setup +# procedure itself in a reliable manner. +try: + __NUMPY_SETUP__ +except NameError: + __NUMPY_SETUP__ = False + +if __NUMPY_SETUP__: + sys.stderr.write('Running from numpy source directory.\n') +else: + # Allow distributors to run custom init code before importing numpy._core + from . import _distributor_init + + try: + from numpy.__config__ import show_config + except ImportError as e: + msg = """Error importing numpy: you should not try to import numpy from + its source directory; please exit the numpy source tree, and relaunch + your python interpreter from there.""" + raise ImportError(msg) from e + + from . import _core + from ._core import ( + False_, ScalarType, True_, + abs, absolute, acos, acosh, add, all, allclose, + amax, amin, any, arange, arccos, arccosh, arcsin, arcsinh, + arctan, arctan2, arctanh, argmax, argmin, argpartition, argsort, + argwhere, around, array, array2string, array_equal, array_equiv, + array_repr, array_str, asanyarray, asarray, ascontiguousarray, + asfortranarray, asin, asinh, atan, atanh, atan2, astype, atleast_1d, + atleast_2d, atleast_3d, base_repr, binary_repr, bitwise_and, + bitwise_count, bitwise_invert, bitwise_left_shift, bitwise_not, + bitwise_or, bitwise_right_shift, bitwise_xor, block, bool, bool_, + broadcast, busday_count, busday_offset, busdaycalendar, byte, bytes_, + can_cast, cbrt, cdouble, ceil, character, choose, clip, clongdouble, + complex128, complex64, complexfloating, compress, concat, concatenate, + conj, conjugate, convolve, copysign, copyto, correlate, cos, cosh, + count_nonzero, cross, csingle, cumprod, cumsum, cumulative_prod, + cumulative_sum, datetime64, datetime_as_string, datetime_data, + deg2rad, degrees, diagonal, divide, divmod, dot, double, dtype, e, + einsum, einsum_path, empty, empty_like, equal, errstate, euler_gamma, + exp, exp2, expm1, fabs, finfo, flatiter, flatnonzero, flexible, + float16, float32, float64, float_power, floating, floor, floor_divide, + fmax, fmin, fmod, format_float_positional, format_float_scientific, + frexp, from_dlpack, frombuffer, fromfile, fromfunction, fromiter, + frompyfunc, fromstring, full, full_like, gcd, generic, geomspace, + get_printoptions, getbufsize, geterr, geterrcall, greater, + greater_equal, half, heaviside, hstack, hypot, identity, iinfo, + indices, inexact, inf, inner, int16, int32, int64, int8, int_, intc, + integer, intp, invert, is_busday, isclose, isdtype, isfinite, + isfortran, isinf, isnan, isnat, isscalar, issubdtype, lcm, ldexp, + left_shift, less, less_equal, lexsort, linspace, little_endian, log, + log10, log1p, log2, logaddexp, logaddexp2, logical_and, logical_not, + logical_or, logical_xor, logspace, long, longdouble, longlong, matmul, + matvec, matrix_transpose, max, maximum, may_share_memory, mean, memmap, + min, min_scalar_type, minimum, mod, modf, moveaxis, multiply, nan, + ndarray, ndim, nditer, negative, nested_iters, newaxis, nextafter, + nonzero, not_equal, number, object_, ones, ones_like, outer, partition, + permute_dims, pi, positive, pow, power, printoptions, prod, + promote_types, ptp, put, putmask, rad2deg, radians, ravel, recarray, + reciprocal, record, remainder, repeat, require, reshape, resize, + result_type, right_shift, rint, roll, rollaxis, round, sctypeDict, + searchsorted, set_printoptions, setbufsize, seterr, seterrcall, shape, + shares_memory, short, sign, signbit, signedinteger, sin, single, sinh, + size, sort, spacing, sqrt, square, squeeze, stack, std, + str_, subtract, sum, swapaxes, take, tan, tanh, tensordot, + timedelta64, trace, transpose, true_divide, trunc, typecodes, ubyte, + ufunc, uint, uint16, uint32, uint64, uint8, uintc, uintp, ulong, + ulonglong, unsignedinteger, unstack, ushort, var, vdot, vecdot, + vecmat, void, vstack, where, zeros, zeros_like + ) + + # NOTE: It's still under discussion whether these aliases + # should be removed. + for ta in ["float96", "float128", "complex192", "complex256"]: + try: + globals()[ta] = getattr(_core, ta) + except AttributeError: + pass + del ta + + from . import lib + from .lib import scimath as emath + from .lib._histograms_impl import ( + histogram, histogram_bin_edges, histogramdd + ) + from .lib._nanfunctions_impl import ( + nanargmax, nanargmin, nancumprod, nancumsum, nanmax, nanmean, + nanmedian, nanmin, nanpercentile, nanprod, nanquantile, nanstd, + nansum, nanvar + ) + from .lib._function_base_impl import ( + select, piecewise, trim_zeros, copy, iterable, percentile, diff, + gradient, angle, unwrap, sort_complex, flip, rot90, extract, place, + vectorize, asarray_chkfinite, average, bincount, digitize, cov, + corrcoef, median, sinc, hamming, hanning, bartlett, blackman, + kaiser, trapezoid, trapz, i0, meshgrid, delete, insert, append, + interp, quantile + ) + from .lib._twodim_base_impl import ( + diag, diagflat, eye, fliplr, flipud, tri, triu, tril, vander, + histogram2d, mask_indices, tril_indices, tril_indices_from, + triu_indices, triu_indices_from + ) + from .lib._shape_base_impl import ( + apply_over_axes, apply_along_axis, array_split, column_stack, dsplit, + dstack, expand_dims, hsplit, kron, put_along_axis, row_stack, split, + take_along_axis, tile, vsplit + ) + from .lib._type_check_impl import ( + iscomplexobj, isrealobj, imag, iscomplex, isreal, nan_to_num, real, + real_if_close, typename, mintypecode, common_type + ) + from .lib._arraysetops_impl import ( + ediff1d, in1d, intersect1d, isin, setdiff1d, setxor1d, union1d, + unique, unique_all, unique_counts, unique_inverse, unique_values + ) + from .lib._ufunclike_impl import fix, isneginf, isposinf + from .lib._arraypad_impl import pad + from .lib._utils_impl import ( + show_runtime, get_include, info + ) + from .lib._stride_tricks_impl import ( + broadcast_arrays, broadcast_shapes, broadcast_to + ) + from .lib._polynomial_impl import ( + poly, polyint, polyder, polyadd, polysub, polymul, polydiv, polyval, + polyfit, poly1d, roots + ) + from .lib._npyio_impl import ( + savetxt, loadtxt, genfromtxt, load, save, savez, packbits, + savez_compressed, unpackbits, fromregex + ) + from .lib._index_tricks_impl import ( + diag_indices_from, diag_indices, fill_diagonal, ndindex, ndenumerate, + ix_, c_, r_, s_, ogrid, mgrid, unravel_index, ravel_multi_index, + index_exp + ) + + from . import matrixlib as _mat + from .matrixlib import ( + asmatrix, bmat, matrix + ) + + # public submodules are imported lazily, therefore are accessible from + # __getattr__. Note that `distutils` (deprecated) and `array_api` + # (experimental label) are not added here, because `from numpy import *` + # must not raise any warnings - that's too disruptive. + __numpy_submodules__ = { + "linalg", "fft", "dtypes", "random", "polynomial", "ma", + "exceptions", "lib", "ctypeslib", "testing", "typing", + "f2py", "test", "rec", "char", "core", "strings", + } + + # We build warning messages for former attributes + _msg = ( + "module 'numpy' has no attribute '{n}'.\n" + "`np.{n}` was a deprecated alias for the builtin `{n}`. " + "To avoid this error in existing code, use `{n}` by itself. " + "Doing this will not modify any behavior and is safe. {extended_msg}\n" + "The aliases was originally deprecated in NumPy 1.20; for more " + "details and guidance see the original release note at:\n" + " https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations") + + _specific_msg = ( + "If you specifically wanted the numpy scalar type, use `np.{}` here.") + + _int_extended_msg = ( + "When replacing `np.{}`, you may wish to use e.g. `np.int64` " + "or `np.int32` to specify the precision. If you wish to review " + "your current use, check the release note link for " + "additional information.") + + _type_info = [ + ("object", ""), # The NumPy scalar only exists by name. + ("float", _specific_msg.format("float64")), + ("complex", _specific_msg.format("complex128")), + ("str", _specific_msg.format("str_")), + ("int", _int_extended_msg.format("int"))] + + __former_attrs__ = { + n: _msg.format(n=n, extended_msg=extended_msg) + for n, extended_msg in _type_info + } + + + # Some of these could be defined right away, but most were aliases to + # the Python objects and only removed in NumPy 1.24. Defining them should + # probably wait for NumPy 1.26 or 2.0. + # When defined, these should possibly not be added to `__all__` to avoid + # import with `from numpy import *`. + __future_scalars__ = {"str", "bytes", "object"} + + __array_api_version__ = "2023.12" + + from ._array_api_info import __array_namespace_info__ + + # now that numpy core module is imported, can initialize limits + _core.getlimits._register_known_types() + + __all__ = list( + __numpy_submodules__ | + set(_core.__all__) | + set(_mat.__all__) | + set(lib._histograms_impl.__all__) | + set(lib._nanfunctions_impl.__all__) | + set(lib._function_base_impl.__all__) | + set(lib._twodim_base_impl.__all__) | + set(lib._shape_base_impl.__all__) | + set(lib._type_check_impl.__all__) | + set(lib._arraysetops_impl.__all__) | + set(lib._ufunclike_impl.__all__) | + set(lib._arraypad_impl.__all__) | + set(lib._utils_impl.__all__) | + set(lib._stride_tricks_impl.__all__) | + set(lib._polynomial_impl.__all__) | + set(lib._npyio_impl.__all__) | + set(lib._index_tricks_impl.__all__) | + {"emath", "show_config", "__version__", "__array_namespace_info__"} + ) + + # Filter out Cython harmless warnings + warnings.filterwarnings("ignore", message="numpy.dtype size changed") + warnings.filterwarnings("ignore", message="numpy.ufunc size changed") + warnings.filterwarnings("ignore", message="numpy.ndarray size changed") + + def __getattr__(attr): + # Warn for expired attributes + import warnings + + if attr == "linalg": + import numpy.linalg as linalg + return linalg + elif attr == "fft": + import numpy.fft as fft + return fft + elif attr == "dtypes": + import numpy.dtypes as dtypes + return dtypes + elif attr == "random": + import numpy.random as random + return random + elif attr == "polynomial": + import numpy.polynomial as polynomial + return polynomial + elif attr == "ma": + import numpy.ma as ma + return ma + elif attr == "ctypeslib": + import numpy.ctypeslib as ctypeslib + return ctypeslib + elif attr == "exceptions": + import numpy.exceptions as exceptions + return exceptions + elif attr == "testing": + import numpy.testing as testing + return testing + elif attr == "matlib": + import numpy.matlib as matlib + return matlib + elif attr == "f2py": + import numpy.f2py as f2py + return f2py + elif attr == "typing": + import numpy.typing as typing + return typing + elif attr == "rec": + import numpy.rec as rec + return rec + elif attr == "char": + import numpy.char as char + return char + elif attr == "array_api": + raise AttributeError("`numpy.array_api` is not available from " + "numpy 2.0 onwards", name=None) + elif attr == "core": + import numpy.core as core + return core + elif attr == "strings": + import numpy.strings as strings + return strings + elif attr == "distutils": + if 'distutils' in __numpy_submodules__: + import numpy.distutils as distutils + return distutils + else: + raise AttributeError("`numpy.distutils` is not available from " + "Python 3.12 onwards", name=None) + + if attr in __future_scalars__: + # And future warnings for those that will change, but also give + # the AttributeError + warnings.warn( + f"In the future `np.{attr}` will be defined as the " + "corresponding NumPy scalar.", FutureWarning, stacklevel=2) + + if attr in __former_attrs__: + raise AttributeError(__former_attrs__[attr], name=None) + + if attr in __expired_attributes__: + raise AttributeError( + f"`np.{attr}` was removed in the NumPy 2.0 release. " + f"{__expired_attributes__[attr]}", + name=None + ) + + if attr == "chararray": + warnings.warn( + "`np.chararray` is deprecated and will be removed from " + "the main namespace in the future. Use an array with a string " + "or bytes dtype instead.", DeprecationWarning, stacklevel=2) + import numpy.char as char + return char.chararray + + raise AttributeError("module {!r} has no attribute " + "{!r}".format(__name__, attr)) + + def __dir__(): + public_symbols = ( + globals().keys() | __numpy_submodules__ + ) + public_symbols -= { + "matrixlib", "matlib", "tests", "conftest", "version", + "compat", "distutils", "array_api" + } + return list(public_symbols) + + # Pytest testing + from numpy._pytesttester import PytestTester + test = PytestTester(__name__) + del PytestTester + + def _sanity_check(): + """ + Quick sanity checks for common bugs caused by environment. + There are some cases e.g. with wrong BLAS ABI that cause wrong + results under specific runtime conditions that are not necessarily + achieved during test suite runs, and it is useful to catch those early. + + See https://github.com/numpy/numpy/issues/8577 and other + similar bug reports. + + """ + try: + x = ones(2, dtype=float32) + if not abs(x.dot(x) - float32(2.0)) < 1e-5: + raise AssertionError + except AssertionError: + msg = ("The current Numpy installation ({!r}) fails to " + "pass simple sanity checks. This can be caused for example " + "by incorrect BLAS library being linked in, or by mixing " + "package managers (pip, conda, apt, ...). Search closed " + "numpy issues for similar problems.") + raise RuntimeError(msg.format(__file__)) from None + + _sanity_check() + del _sanity_check + + def _mac_os_check(): + """ + Quick Sanity check for Mac OS look for accelerate build bugs. + Testing numpy polyfit calls init_dgelsd(LAPACK) + """ + try: + c = array([3., 2., 1.]) + x = linspace(0, 2, 5) + y = polyval(c, x) + _ = polyfit(x, y, 2, cov=True) + except ValueError: + pass + + if sys.platform == "darwin": + from . import exceptions + with warnings.catch_warnings(record=True) as w: + _mac_os_check() + # Throw runtime error, if the test failed Check for warning and error_message + if len(w) > 0: + for _wn in w: + if _wn.category is exceptions.RankWarning: + # Ignore other warnings, they may not be relevant (see gh-25433). + error_message = ( + f"{_wn.category.__name__}: {_wn.message}" + ) + msg = ( + "Polyfit sanity test emitted a warning, most likely due " + "to using a buggy Accelerate backend." + "\nIf you compiled yourself, more information is available at:" + "\nhttps://numpy.org/devdocs/building/index.html" + "\nOtherwise report this to the vendor " + "that provided NumPy.\n\n{}\n".format(error_message)) + raise RuntimeError(msg) + del _wn + del w + del _mac_os_check + + def hugepage_setup(): + """ + We usually use madvise hugepages support, but on some old kernels it + is slow and thus better avoided. Specifically kernel version 4.6 + had a bug fix which probably fixed this: + https://github.com/torvalds/linux/commit/7cf91a98e607c2f935dbcc177d70011e95b8faff + """ + use_hugepage = os.environ.get("NUMPY_MADVISE_HUGEPAGE", None) + if sys.platform == "linux" and use_hugepage is None: + # If there is an issue with parsing the kernel version, + # set use_hugepage to 0. Usage of LooseVersion will handle + # the kernel version parsing better, but avoided since it + # will increase the import time. + # See: #16679 for related discussion. + try: + use_hugepage = 1 + kernel_version = os.uname().release.split(".")[:2] + kernel_version = tuple(int(v) for v in kernel_version) + if kernel_version < (4, 6): + use_hugepage = 0 + except ValueError: + use_hugepage = 0 + elif use_hugepage is None: + # This is not Linux, so it should not matter, just enable anyway + use_hugepage = 1 + else: + use_hugepage = int(use_hugepage) + return use_hugepage + + # Note that this will currently only make a difference on Linux + _core.multiarray._set_madvise_hugepage(hugepage_setup()) + del hugepage_setup + + # Give a warning if NumPy is reloaded or imported on a sub-interpreter + # We do this from python, since the C-module may not be reloaded and + # it is tidier organized. + _core.multiarray._multiarray_umath._reload_guard() + + # TODO: Remove the environment variable entirely now that it is "weak" + if (os.environ.get("NPY_PROMOTION_STATE", "weak") != "weak"): + warnings.warn( + "NPY_PROMOTION_STATE was a temporary feature for NumPy 2.0 " + "transition and is ignored after NumPy 2.2.", + UserWarning, stacklevel=2) + + # Tell PyInstaller where to find hook-numpy.py + def _pyinstaller_hooks_dir(): + from pathlib import Path + return [str(Path(__file__).with_name("_pyinstaller").resolve())] + + +# Remove symbols imported for internal use +del os, sys, warnings diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..cbd77a128ab95641cc039e0309188cc40268cc98 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/__init__.pyi @@ -0,0 +1,5419 @@ +# ruff: noqa: I001 +import builtins +import sys +import mmap +import ctypes as ct +import array as _array +import datetime as dt +from abc import abstractmethod +from types import EllipsisType, ModuleType, TracebackType, MappingProxyType, GenericAlias +from decimal import Decimal +from fractions import Fraction +from uuid import UUID + +import numpy as np +from numpy.__config__ import show as show_config +from numpy._pytesttester import PytestTester +from numpy._core._internal import _ctypes + +from numpy._typing import ( + # Arrays + ArrayLike, + NDArray, + _SupportsArray, + _NestedSequence, + _ArrayLike, + _ArrayLikeBool_co, + _ArrayLikeUInt_co, + _ArrayLikeInt, + _ArrayLikeInt_co, + _ArrayLikeFloat64_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex128_co, + _ArrayLikeComplex_co, + _ArrayLikeNumber_co, + _ArrayLikeObject_co, + _ArrayLikeBytes_co, + _ArrayLikeStr_co, + _ArrayLikeString_co, + _ArrayLikeTD64_co, + _ArrayLikeDT64_co, + # DTypes + DTypeLike, + _DTypeLike, + _DTypeLikeVoid, + _VoidDTypeLike, + # Shapes + _Shape, + _ShapeLike, + # Scalars + _CharLike_co, + _IntLike_co, + _FloatLike_co, + _TD64Like_co, + _NumberLike_co, + _ScalarLike_co, + # `number` precision + NBitBase, + # NOTE: Do not remove the extended precision bit-types even if seemingly unused; + # they're used by the mypy plugin + _256Bit, + _128Bit, + _96Bit, + _80Bit, + _64Bit, + _32Bit, + _16Bit, + _8Bit, + _NBitByte, + _NBitShort, + _NBitIntC, + _NBitIntP, + _NBitLong, + _NBitLongLong, + _NBitHalf, + _NBitSingle, + _NBitDouble, + _NBitLongDouble, + # Character codes + _BoolCodes, + _UInt8Codes, + _UInt16Codes, + _UInt32Codes, + _UInt64Codes, + _Int8Codes, + _Int16Codes, + _Int32Codes, + _Int64Codes, + _Float16Codes, + _Float32Codes, + _Float64Codes, + _Complex64Codes, + _Complex128Codes, + _ByteCodes, + _ShortCodes, + _IntCCodes, + _IntPCodes, + _LongCodes, + _LongLongCodes, + _UByteCodes, + _UShortCodes, + _UIntCCodes, + _UIntPCodes, + _ULongCodes, + _ULongLongCodes, + _HalfCodes, + _SingleCodes, + _DoubleCodes, + _LongDoubleCodes, + _CSingleCodes, + _CDoubleCodes, + _CLongDoubleCodes, + _DT64Codes, + _TD64Codes, + _StrCodes, + _BytesCodes, + _VoidCodes, + _ObjectCodes, + _StringCodes, + _UnsignedIntegerCodes, + _SignedIntegerCodes, + _IntegerCodes, + _FloatingCodes, + _ComplexFloatingCodes, + _InexactCodes, + _NumberCodes, + _CharacterCodes, + _FlexibleCodes, + _GenericCodes, + # Ufuncs + _UFunc_Nin1_Nout1, + _UFunc_Nin2_Nout1, + _UFunc_Nin1_Nout2, + _UFunc_Nin2_Nout2, + _GUFunc_Nin2_Nout1, +) + +from numpy._typing._callable import ( + _BoolOp, + _BoolBitOp, + _BoolSub, + _BoolTrueDiv, + _BoolMod, + _BoolDivMod, + _IntTrueDiv, + _UnsignedIntOp, + _UnsignedIntBitOp, + _UnsignedIntMod, + _UnsignedIntDivMod, + _SignedIntOp, + _SignedIntBitOp, + _SignedIntMod, + _SignedIntDivMod, + _FloatOp, + _FloatMod, + _FloatDivMod, + _NumberOp, + _ComparisonOpLT, + _ComparisonOpLE, + _ComparisonOpGT, + _ComparisonOpGE, +) + +# NOTE: Numpy's mypy plugin is used for removing the types unavailable +# to the specific platform +from numpy._typing._extended_precision import ( + uint128, + uint256, + int128, + int256, + float80, + float96, + float128, + float256, + complex160, + complex192, + complex256, + complex512, +) + +from numpy._array_api_info import __array_namespace_info__ + +from collections.abc import ( + Callable, + Iterable, + Iterator, + Mapping, + Sequence, +) + +if sys.version_info >= (3, 12): + from collections.abc import Buffer as _SupportsBuffer +else: + _SupportsBuffer: TypeAlias = ( + bytes + | bytearray + | memoryview + | _array.array[Any] + | mmap.mmap + | NDArray[Any] + | generic + ) + +from typing import ( + Any, + ClassVar, + Final, + Generic, + Literal as L, + NoReturn, + SupportsComplex, + SupportsFloat, + SupportsInt, + SupportsIndex, + TypeAlias, + TypedDict, + final, + type_check_only, +) + +# NOTE: `typing_extensions` and `_typeshed` are always available in `.pyi` stubs, even +# if not available at runtime. This is because the `typeshed` stubs for the standard +# library include `typing_extensions` stubs: +# https://github.com/python/typeshed/blob/main/stdlib/typing_extensions.pyi +from _typeshed import StrOrBytesPath, SupportsFlush, SupportsLenAndGetItem, SupportsWrite +from typing_extensions import CapsuleType, LiteralString, Never, Protocol, Self, TypeVar, Unpack, deprecated, overload + +from numpy import ( + char, + core, + ctypeslib, + dtypes, + exceptions, + f2py, + fft, + lib, + linalg, + ma, + polynomial, + random, + rec, + strings, + testing, + typing, +) + +# available through `__getattr__`, but not in `__all__` or `__dir__` +from numpy import ( + __config__ as __config__, + matlib as matlib, + matrixlib as matrixlib, + version as version, +) +if sys.version_info < (3, 12): + from numpy import distutils as distutils + +from numpy._core.records import ( + record, + recarray, +) + +from numpy._core.function_base import ( + linspace, + logspace, + geomspace, +) + +from numpy._core.fromnumeric import ( + take, + reshape, + choose, + repeat, + put, + swapaxes, + transpose, + matrix_transpose, + partition, + argpartition, + sort, + argsort, + argmax, + argmin, + searchsorted, + resize, + squeeze, + diagonal, + trace, + ravel, + nonzero, + shape, + compress, + clip, + sum, + all, + any, + cumsum, + cumulative_sum, + ptp, + max, + min, + amax, + amin, + prod, + cumprod, + cumulative_prod, + ndim, + size, + around, + round, + mean, + std, + var, +) + +from numpy._core._asarray import ( + require, +) + +from numpy._core._type_aliases import ( + sctypeDict, +) + +from numpy._core._ufunc_config import ( + seterr, + geterr, + setbufsize, + getbufsize, + seterrcall, + geterrcall, + _ErrKind, + _ErrCall, +) + +from numpy._core.arrayprint import ( + set_printoptions, + get_printoptions, + array2string, + format_float_scientific, + format_float_positional, + array_repr, + array_str, + printoptions, +) + +from numpy._core.einsumfunc import ( + einsum, + einsum_path, +) + +from numpy._core.multiarray import ( + array, + empty_like, + empty, + zeros, + concatenate, + inner, + where, + lexsort, + can_cast, + min_scalar_type, + result_type, + dot, + vdot, + bincount, + copyto, + putmask, + packbits, + unpackbits, + shares_memory, + may_share_memory, + asarray, + asanyarray, + ascontiguousarray, + asfortranarray, + arange, + busday_count, + busday_offset, + datetime_as_string, + datetime_data, + frombuffer, + fromfile, + fromiter, + is_busday, + promote_types, + fromstring, + frompyfunc, + nested_iters, + flagsobj, +) + +from numpy._core.numeric import ( + zeros_like, + ones, + ones_like, + full, + full_like, + count_nonzero, + isfortran, + argwhere, + flatnonzero, + correlate, + convolve, + outer, + tensordot, + roll, + rollaxis, + moveaxis, + cross, + indices, + fromfunction, + isscalar, + binary_repr, + base_repr, + identity, + allclose, + isclose, + array_equal, + array_equiv, + astype, +) + +from numpy._core.numerictypes import ( + isdtype, + issubdtype, + ScalarType, + typecodes, +) + +from numpy._core.shape_base import ( + atleast_1d, + atleast_2d, + atleast_3d, + block, + hstack, + stack, + vstack, + unstack, +) + +from ._expired_attrs_2_0 import __expired_attributes__ as __expired_attributes__ + +from numpy.lib import ( + scimath as emath, +) + +from numpy.lib._arraypad_impl import ( + pad, +) + +from numpy.lib._arraysetops_impl import ( + ediff1d, + in1d, + intersect1d, + isin, + setdiff1d, + setxor1d, + union1d, + unique, + unique_all, + unique_counts, + unique_inverse, + unique_values, +) + +from numpy.lib._function_base_impl import ( + select, + piecewise, + trim_zeros, + copy, + iterable, + percentile, + diff, + gradient, + angle, + unwrap, + sort_complex, + flip, + rot90, + extract, + place, + asarray_chkfinite, + average, + bincount, + digitize, + cov, + corrcoef, + median, + sinc, + hamming, + hanning, + bartlett, + blackman, + kaiser, + trapezoid, + trapz, + i0, + meshgrid, + delete, + insert, + append, + interp, + quantile, +) + +from numpy._globals import _CopyMode + +from numpy.lib._histograms_impl import ( + histogram_bin_edges, + histogram, + histogramdd, +) + +from numpy.lib._index_tricks_impl import ( + ndenumerate, + ndindex, + ravel_multi_index, + unravel_index, + mgrid, + ogrid, + r_, + c_, + s_, + index_exp, + ix_, + fill_diagonal, + diag_indices, + diag_indices_from, +) + +from numpy.lib._nanfunctions_impl import ( + nansum, + nanmax, + nanmin, + nanargmax, + nanargmin, + nanmean, + nanmedian, + nanpercentile, + nanvar, + nanstd, + nanprod, + nancumsum, + nancumprod, + nanquantile, +) + +from numpy.lib._npyio_impl import ( + savetxt, + loadtxt, + genfromtxt, + load, + save, + savez, + savez_compressed, + packbits, + unpackbits, + fromregex, +) + +from numpy.lib._polynomial_impl import ( + poly, + roots, + polyint, + polyder, + polyadd, + polysub, + polymul, + polydiv, + polyval, + polyfit, +) + +from numpy.lib._shape_base_impl import ( + column_stack, + row_stack, + dstack, + array_split, + split, + hsplit, + vsplit, + dsplit, + apply_over_axes, + expand_dims, + apply_along_axis, + kron, + tile, + take_along_axis, + put_along_axis, +) + +from numpy.lib._stride_tricks_impl import ( + broadcast_to, + broadcast_arrays, + broadcast_shapes, +) + +from numpy.lib._twodim_base_impl import ( + diag, + diagflat, + eye, + fliplr, + flipud, + tri, + triu, + tril, + vander, + histogram2d, + mask_indices, + tril_indices, + tril_indices_from, + triu_indices, + triu_indices_from, +) + +from numpy.lib._type_check_impl import ( + mintypecode, + real, + imag, + iscomplex, + isreal, + iscomplexobj, + isrealobj, + nan_to_num, + real_if_close, + typename, + common_type, +) + +from numpy.lib._ufunclike_impl import ( + fix, + isposinf, + isneginf, +) + +from numpy.lib._utils_impl import ( + get_include, + info, + show_runtime, +) + +from numpy.matrixlib import ( + asmatrix, + bmat, +) + +__all__ = [ # noqa: RUF022 + # __numpy_submodules__ + "char", "core", "ctypeslib", "dtypes", "exceptions", "f2py", "fft", "lib", "linalg", + "ma", "polynomial", "random", "rec", "strings", "test", "testing", "typing", + + # _core.__all__ + "abs", "acos", "acosh", "asin", "asinh", "atan", "atanh", "atan2", "bitwise_invert", + "bitwise_left_shift", "bitwise_right_shift", "concat", "pow", "permute_dims", + "memmap", "sctypeDict", "record", "recarray", + + # _core.numeric.__all__ + "newaxis", "ndarray", "flatiter", "nditer", "nested_iters", "ufunc", "arange", + "array", "asarray", "asanyarray", "ascontiguousarray", "asfortranarray", "zeros", + "count_nonzero", "empty", "broadcast", "dtype", "fromstring", "fromfile", + "frombuffer", "from_dlpack", "where", "argwhere", "copyto", "concatenate", + "lexsort", "astype", "can_cast", "promote_types", "min_scalar_type", "result_type", + "isfortran", "empty_like", "zeros_like", "ones_like", "correlate", "convolve", + "inner", "dot", "outer", "vdot", "roll", "rollaxis", "moveaxis", "cross", + "tensordot", "little_endian", "fromiter", "array_equal", "array_equiv", "indices", + "fromfunction", "isclose", "isscalar", "binary_repr", "base_repr", "ones", + "identity", "allclose", "putmask", "flatnonzero", "inf", "nan", "False_", "True_", + "bitwise_not", "full", "full_like", "matmul", "vecdot", "vecmat", + "shares_memory", "may_share_memory", + "all", "amax", "amin", "any", "argmax", "argmin", "argpartition", "argsort", + "around", "choose", "clip", "compress", "cumprod", "cumsum", "cumulative_prod", + "cumulative_sum", "diagonal", "mean", "max", "min", "matrix_transpose", "ndim", + "nonzero", "partition", "prod", "ptp", "put", "ravel", "repeat", "reshape", + "resize", "round", "searchsorted", "shape", "size", "sort", "squeeze", "std", "sum", + "swapaxes", "take", "trace", "transpose", "var", + "absolute", "add", "arccos", "arccosh", "arcsin", "arcsinh", "arctan", "arctan2", + "arctanh", "bitwise_and", "bitwise_or", "bitwise_xor", "cbrt", "ceil", "conj", + "conjugate", "copysign", "cos", "cosh", "bitwise_count", "deg2rad", "degrees", + "divide", "divmod", "e", "equal", "euler_gamma", "exp", "exp2", "expm1", "fabs", + "floor", "floor_divide", "float_power", "fmax", "fmin", "fmod", "frexp", + "frompyfunc", "gcd", "greater", "greater_equal", "heaviside", "hypot", "invert", + "isfinite", "isinf", "isnan", "isnat", "lcm", "ldexp", "left_shift", "less", + "less_equal", "log", "log10", "log1p", "log2", "logaddexp", "logaddexp2", + "logical_and", "logical_not", "logical_or", "logical_xor", "matvec", "maximum", "minimum", + "mod", "modf", "multiply", "negative", "nextafter", "not_equal", "pi", "positive", + "power", "rad2deg", "radians", "reciprocal", "remainder", "right_shift", "rint", + "sign", "signbit", "sin", "sinh", "spacing", "sqrt", "square", "subtract", "tan", + "tanh", "true_divide", "trunc", "ScalarType", "typecodes", "issubdtype", + "datetime_data", "datetime_as_string", "busday_offset", "busday_count", "is_busday", + "busdaycalendar", "isdtype", + "complexfloating", "character", "unsignedinteger", "inexact", "generic", "floating", + "integer", "signedinteger", "number", "flexible", "bool", "float16", "float32", + "float64", "longdouble", "complex64", "complex128", "clongdouble", + "bytes_", "str_", "void", "object_", "datetime64", "timedelta64", "int8", "byte", + "uint8", "ubyte", "int16", "short", "uint16", "ushort", "int32", "intc", "uint32", + "uintc", "int64", "long", "uint64", "ulong", "longlong", "ulonglong", "intp", + "uintp", "double", "cdouble", "single", "csingle", "half", "bool_", "int_", "uint", + "uint128", "uint256", "int128", "int256", "float80", "float96", "float128", + "float256", "complex160", "complex192", "complex256", "complex512", + "array2string", "array_str", "array_repr", "set_printoptions", "get_printoptions", + "printoptions", "format_float_positional", "format_float_scientific", "require", + "seterr", "geterr", "setbufsize", "getbufsize", "seterrcall", "geterrcall", + "errstate", + # _core.function_base.__all__ + "logspace", "linspace", "geomspace", + # _core.getlimits.__all__ + "finfo", "iinfo", + # _core.shape_base.__all__ + "atleast_1d", "atleast_2d", "atleast_3d", "block", "hstack", "stack", "unstack", + "vstack", + # _core.einsumfunc.__all__ + "einsum", "einsum_path", + # matrixlib.__all__ + "matrix", "bmat", "asmatrix", + # lib._histograms_impl.__all__ + "histogram", "histogramdd", "histogram_bin_edges", + # lib._nanfunctions_impl.__all__ + "nansum", "nanmax", "nanmin", "nanargmax", "nanargmin", "nanmean", "nanmedian", + "nanpercentile", "nanvar", "nanstd", "nanprod", "nancumsum", "nancumprod", + "nanquantile", + # lib._function_base_impl.__all__ + "select", "piecewise", "trim_zeros", "copy", "iterable", "percentile", "diff", + "gradient", "angle", "unwrap", "sort_complex", "flip", "rot90", "extract", "place", + "vectorize", "asarray_chkfinite", "average", "bincount", "digitize", "cov", + "corrcoef", "median", "sinc", "hamming", "hanning", "bartlett", "blackman", + "kaiser", "trapezoid", "trapz", "i0", "meshgrid", "delete", "insert", "append", + "interp", "quantile", + # lib._twodim_base_impl.__all__ + "diag", "diagflat", "eye", "fliplr", "flipud", "tri", "triu", "tril", "vander", + "histogram2d", "mask_indices", "tril_indices", "tril_indices_from", "triu_indices", + "triu_indices_from", + # lib._shape_base_impl.__all__ + "column_stack", "dstack", "array_split", "split", "hsplit", "vsplit", "dsplit", + "apply_over_axes", "expand_dims", "apply_along_axis", "kron", "tile", + "take_along_axis", "put_along_axis", "row_stack", + # lib._type_check_impl.__all__ + "iscomplexobj", "isrealobj", "imag", "iscomplex", "isreal", "nan_to_num", "real", + "real_if_close", "typename", "mintypecode", "common_type", + # lib._arraysetops_impl.__all__ + "ediff1d", "in1d", "intersect1d", "isin", "setdiff1d", "setxor1d", "union1d", + "unique", "unique_all", "unique_counts", "unique_inverse", "unique_values", + # lib._ufunclike_impl.__all__ + "fix", "isneginf", "isposinf", + # lib._arraypad_impl.__all__ + "pad", + # lib._utils_impl.__all__ + "get_include", "info", "show_runtime", + # lib._stride_tricks_impl.__all__ + "broadcast_to", "broadcast_arrays", "broadcast_shapes", + # lib._polynomial_impl.__all__ + "poly", "roots", "polyint", "polyder", "polyadd", "polysub", "polymul", "polydiv", + "polyval", "poly1d", "polyfit", + # lib._npyio_impl.__all__ + "savetxt", "loadtxt", "genfromtxt", "load", "save", "savez", "savez_compressed", + "packbits", "unpackbits", "fromregex", + # lib._index_tricks_impl.__all__ + "ravel_multi_index", "unravel_index", "mgrid", "ogrid", "r_", "c_", "s_", + "index_exp", "ix_", "ndenumerate", "ndindex", "fill_diagonal", "diag_indices", + "diag_indices_from", + + # __init__.__all__ + "emath", "show_config", "__version__", "__array_namespace_info__", +] # fmt: skip + +### Constrained types (for internal use only) +# Only use these for functions; never as generic type parameter. + +_AnyStr = TypeVar("_AnyStr", LiteralString, str, bytes) +_AnyShapeType = TypeVar( + "_AnyShapeType", + tuple[()], # 0-d + tuple[int], # 1-d + tuple[int, int], # 2-d + tuple[int, int, int], # 3-d + tuple[int, int, int, int], # 4-d + tuple[int, int, int, int, int], # 5-d + tuple[int, int, int, int, int, int], # 6-d + tuple[int, int, int, int, int, int, int], # 7-d + tuple[int, int, int, int, int, int, int, int], # 8-d + tuple[int, ...], # N-d +) +_AnyNBitInexact = TypeVar("_AnyNBitInexact", _NBitHalf, _NBitSingle, _NBitDouble, _NBitLongDouble) +_AnyTD64Item = TypeVar("_AnyTD64Item", dt.timedelta, int, None, dt.timedelta | int | None) +_AnyDT64Arg = TypeVar("_AnyDT64Arg", dt.datetime, dt.date, None) +_AnyDT64Item = TypeVar("_AnyDT64Item", dt.datetime, dt.date, int, None, dt.date, int | None) +_AnyDate = TypeVar("_AnyDate", dt.date, dt.datetime) +_AnyDateOrTime = TypeVar("_AnyDateOrTime", dt.date, dt.datetime, dt.timedelta) + +### Type parameters (for internal use only) + +_T = TypeVar("_T") +_T_co = TypeVar("_T_co", covariant=True) +_T_contra = TypeVar("_T_contra", contravariant=True) +_RealT_co = TypeVar("_RealT_co", covariant=True) +_ImagT_co = TypeVar("_ImagT_co", covariant=True) + +_CallableT = TypeVar("_CallableT", bound=Callable[..., object]) + +_DType = TypeVar("_DType", bound=dtype[Any]) +_DType_co = TypeVar("_DType_co", bound=dtype[Any], covariant=True) +_FlexDType = TypeVar("_FlexDType", bound=dtype[flexible]) + +_ArrayT = TypeVar("_ArrayT", bound=NDArray[Any]) +_ArrayT_co = TypeVar("_ArrayT_co", bound=NDArray[Any], covariant=True) +_IntegralArrayT = TypeVar("_IntegralArrayT", bound=NDArray[integer[Any] | np.bool | object_]) +_RealArrayT = TypeVar("_RealArrayT", bound=NDArray[floating[Any] | integer[Any] | timedelta64 | np.bool | object_]) +_NumericArrayT = TypeVar("_NumericArrayT", bound=NDArray[number[Any] | timedelta64 | object_]) + +_ShapeT = TypeVar("_ShapeT", bound=_Shape) +_ShapeT_co = TypeVar("_ShapeT_co", bound=_Shape, covariant=True) +_1DShapeT = TypeVar("_1DShapeT", bound=_1D) +_2DShapeT_co = TypeVar("_2DShapeT_co", bound=_2D, covariant=True) +_1NShapeT = TypeVar("_1NShapeT", bound=tuple[L[1], Unpack[tuple[L[1], ...]]]) # (1,) | (1, 1) | (1, 1, 1) | ... + +_SCT = TypeVar("_SCT", bound=generic) +_SCT_co = TypeVar("_SCT_co", bound=generic, covariant=True) +_NumberT = TypeVar("_NumberT", bound=number[Any]) +_RealNumberT = TypeVar("_RealNumberT", bound=floating | integer) +_FloatingT_co = TypeVar("_FloatingT_co", bound=floating[Any], default=floating[Any], covariant=True) +_IntegerT = TypeVar("_IntegerT", bound=integer) +_IntegerT_co = TypeVar("_IntegerT_co", bound=integer[Any], default=integer[Any], covariant=True) + +_NBit = TypeVar("_NBit", bound=NBitBase, default=Any) +_NBit1 = TypeVar("_NBit1", bound=NBitBase, default=Any) +_NBit2 = TypeVar("_NBit2", bound=NBitBase, default=_NBit1) + +_ItemT_co = TypeVar("_ItemT_co", default=Any, covariant=True) +_BoolItemT = TypeVar("_BoolItemT", bound=builtins.bool) +_BoolItemT_co = TypeVar("_BoolItemT_co", bound=builtins.bool, default=builtins.bool, covariant=True) +_NumberItemT_co = TypeVar("_NumberItemT_co", bound=int | float | complex, default=int | float | complex, covariant=True) +_InexactItemT_co = TypeVar("_InexactItemT_co", bound=float | complex, default=float | complex, covariant=True) +_FlexibleItemT_co = TypeVar( + "_FlexibleItemT_co", + bound=_CharLike_co | tuple[Any, ...], + default=_CharLike_co | tuple[Any, ...], + covariant=True, +) +_CharacterItemT_co = TypeVar("_CharacterItemT_co", bound=_CharLike_co, default=_CharLike_co, covariant=True) +_TD64ItemT_co = TypeVar("_TD64ItemT_co", bound=dt.timedelta | int | None, default=dt.timedelta | int | None, covariant=True) +_DT64ItemT_co = TypeVar("_DT64ItemT_co", bound=dt.date | int | None, default=dt.date | int | None, covariant=True) +_TD64UnitT = TypeVar("_TD64UnitT", bound=_TD64Unit, default=_TD64Unit) + +### Type Aliases (for internal use only) + +_Falsy: TypeAlias = L[False, 0] | np.bool[L[False]] +_Truthy: TypeAlias = L[True, 1] | np.bool[L[True]] + +_1D: TypeAlias = tuple[int] +_2D: TypeAlias = tuple[int, int] +_2Tuple: TypeAlias = tuple[_T, _T] + +_ArrayUInt_co: TypeAlias = NDArray[unsignedinteger | np.bool] +_ArrayInt_co: TypeAlias = NDArray[integer | np.bool] +_ArrayFloat64_co: TypeAlias = NDArray[floating[_64Bit] | float32 | float16 | integer | np.bool] +_ArrayFloat_co: TypeAlias = NDArray[floating | integer | np.bool] +_ArrayComplex128_co: TypeAlias = NDArray[number[_64Bit] | number[_32Bit] | float16 | integer | np.bool] +_ArrayComplex_co: TypeAlias = NDArray[inexact | integer | np.bool] +_ArrayNumber_co: TypeAlias = NDArray[number | np.bool] +_ArrayTD64_co: TypeAlias = NDArray[timedelta64 | integer | np.bool] + +_Float64_co: TypeAlias = float | floating[_64Bit] | float32 | float16 | integer | np.bool +_Complex64_co: TypeAlias = number[_32Bit] | number[_16Bit] | number[_8Bit] | builtins.bool | np.bool +_Complex128_co: TypeAlias = complex | number[_64Bit] | _Complex64_co + +_ToIndex: TypeAlias = SupportsIndex | slice | EllipsisType | _ArrayLikeInt_co | None +_ToIndices: TypeAlias = _ToIndex | tuple[_ToIndex, ...] + +_UnsignedIntegerCType: TypeAlias = type[ + ct.c_uint8 | ct.c_uint16 | ct.c_uint32 | ct.c_uint64 + | ct.c_ushort | ct.c_uint | ct.c_ulong | ct.c_ulonglong + | ct.c_size_t | ct.c_void_p +] # fmt: skip +_SignedIntegerCType: TypeAlias = type[ + ct.c_int8 | ct.c_int16 | ct.c_int32 | ct.c_int64 + | ct.c_short | ct.c_int | ct.c_long | ct.c_longlong + | ct.c_ssize_t +] # fmt: skip +_FloatingCType: TypeAlias = type[ct.c_float | ct.c_double | ct.c_longdouble] +_IntegerCType: TypeAlias = _UnsignedIntegerCType | _SignedIntegerCType +_NumberCType: TypeAlias = _IntegerCType | _IntegerCType +_GenericCType: TypeAlias = _NumberCType | type[ct.c_bool | ct.c_char | ct.py_object[Any]] + +# some commonly used builtin types that are known to result in a +# `dtype[object_]`, when their *type* is passed to the `dtype` constructor +# NOTE: `builtins.object` should not be included here +_BuiltinObjectLike: TypeAlias = ( + slice | Decimal | Fraction | UUID + | dt.date | dt.time | dt.timedelta | dt.tzinfo + | tuple[Any, ...] | list[Any] | set[Any] | frozenset[Any] | dict[Any, Any] +) # fmt: skip + +# Introduce an alias for `dtype` to avoid naming conflicts. +_dtype: TypeAlias = dtype[_SCT] + +_ByteOrderChar: TypeAlias = L["<", ">", "=", "|"] +# can be anything, is case-insensitive, and only the first character matters +_ByteOrder: TypeAlias = L[ + "S", # swap the current order (default) + "<", "L", "little", # little-endian + ">", "B", "big", # big endian + "=", "N", "native", # native order + "|", "I", # ignore +] # fmt: skip +_DTypeKind: TypeAlias = L[ + "b", # boolean + "i", # signed integer + "u", # unsigned integer + "f", # floating-point + "c", # complex floating-point + "m", # timedelta64 + "M", # datetime64 + "O", # python object + "S", # byte-string (fixed-width) + "U", # unicode-string (fixed-width) + "V", # void + "T", # unicode-string (variable-width) +] +_DTypeChar: TypeAlias = L[ + "?", # bool + "b", # byte + "B", # ubyte + "h", # short + "H", # ushort + "i", # intc + "I", # uintc + "l", # long + "L", # ulong + "q", # longlong + "Q", # ulonglong + "e", # half + "f", # single + "d", # double + "g", # longdouble + "F", # csingle + "D", # cdouble + "G", # clongdouble + "O", # object + "S", # bytes_ (S0) + "a", # bytes_ (deprecated) + "U", # str_ + "V", # void + "M", # datetime64 + "m", # timedelta64 + "c", # bytes_ (S1) + "T", # StringDType +] +_DTypeNum: TypeAlias = L[ + 0, # bool + 1, # byte + 2, # ubyte + 3, # short + 4, # ushort + 5, # intc + 6, # uintc + 7, # long + 8, # ulong + 9, # longlong + 10, # ulonglong + 23, # half + 11, # single + 12, # double + 13, # longdouble + 14, # csingle + 15, # cdouble + 16, # clongdouble + 17, # object + 18, # bytes_ + 19, # str_ + 20, # void + 21, # datetime64 + 22, # timedelta64 + 25, # no type + 256, # user-defined + 2056, # StringDType +] +_DTypeBuiltinKind: TypeAlias = L[0, 1, 2] + +_ArrayAPIVersion: TypeAlias = L["2021.12", "2022.12", "2023.12"] + +_CastingKind: TypeAlias = L["no", "equiv", "safe", "same_kind", "unsafe"] + +_OrderKACF: TypeAlias = L[None, "K", "A", "C", "F"] +_OrderACF: TypeAlias = L[None, "A", "C", "F"] +_OrderCF: TypeAlias = L[None, "C", "F"] + +_ModeKind: TypeAlias = L["raise", "wrap", "clip"] +_PartitionKind: TypeAlias = L["introselect"] +# in practice, only the first case-insensitive character is considered (so e.g. +# "QuantumSort3000" will be interpreted as quicksort). +_SortKind: TypeAlias = L[ + "Q", "quick", "quicksort", + "M", "merge", "mergesort", + "H", "heap", "heapsort", + "S", "stable", "stablesort", +] +_SortSide: TypeAlias = L["left", "right"] + +_ConvertibleToInt: TypeAlias = SupportsInt | SupportsIndex | _CharLike_co +_ConvertibleToFloat: TypeAlias = SupportsFloat | SupportsIndex | _CharLike_co +if sys.version_info >= (3, 11): + _ConvertibleToComplex: TypeAlias = SupportsComplex | SupportsFloat | SupportsIndex | _CharLike_co +else: + _ConvertibleToComplex: TypeAlias = complex | SupportsComplex | SupportsFloat | SupportsIndex | _CharLike_co +_ConvertibleToTD64: TypeAlias = dt.timedelta | int | _CharLike_co | character | number | timedelta64 | np.bool | None +_ConvertibleToDT64: TypeAlias = dt.date | int | _CharLike_co | character | number | datetime64 | np.bool | None + +_NDIterFlagsKind: TypeAlias = L[ + "buffered", + "c_index", + "copy_if_overlap", + "common_dtype", + "delay_bufalloc", + "external_loop", + "f_index", + "grow_inner", "growinner", + "multi_index", + "ranged", + "refs_ok", + "reduce_ok", + "zerosize_ok", +] +_NDIterFlagsOp: TypeAlias = L[ + "aligned", + "allocate", + "arraymask", + "copy", + "config", + "nbo", + "no_subtype", + "no_broadcast", + "overlap_assume_elementwise", + "readonly", + "readwrite", + "updateifcopy", + "virtual", + "writeonly", + "writemasked" +] + +_MemMapModeKind: TypeAlias = L[ + "readonly", "r", + "copyonwrite", "c", + "readwrite", "r+", + "write", "w+", +] + +_DT64Date: TypeAlias = _HasDateAttributes | L["TODAY", "today", b"TODAY", b"today"] +_DT64Now: TypeAlias = L["NOW", "now", b"NOW", b"now"] +_NaTValue: TypeAlias = L["NAT","NaT", "nat",b"NAT", b"NaT", b"nat"] + +_MonthUnit: TypeAlias = L["Y", "M", b"Y", b"M"] +_DayUnit: TypeAlias = L["W", "D", b"W", b"D"] +_DateUnit: TypeAlias = L[_MonthUnit, _DayUnit] +_NativeTimeUnit: TypeAlias = L["h", "m", "s", "ms", "us", "μs", b"h", b"m", b"s", b"ms", b"us"] +_IntTimeUnit: TypeAlias = L["ns", "ps", "fs", "as", b"ns", b"ps", b"fs", b"as"] +_TimeUnit: TypeAlias = L[_NativeTimeUnit, _IntTimeUnit] +_NativeTD64Unit: TypeAlias = L[_DayUnit, _NativeTimeUnit] +_IntTD64Unit: TypeAlias = L[_MonthUnit, _IntTimeUnit] +_TD64Unit: TypeAlias = L[_DateUnit, _TimeUnit] +_TimeUnitSpec: TypeAlias = _TD64UnitT | tuple[_TD64UnitT, SupportsIndex] + +### TypedDict's (for internal use only) + +@type_check_only +class _FormerAttrsDict(TypedDict): + object: LiteralString + float: LiteralString + complex: LiteralString + str: LiteralString + int: LiteralString + +### Protocols (for internal use only) + +@type_check_only +class _SupportsFileMethods(SupportsFlush, Protocol): + # Protocol for representing file-like-objects accepted by `ndarray.tofile` and `fromfile` + def fileno(self) -> SupportsIndex: ... + def tell(self) -> SupportsIndex: ... + def seek(self, offset: int, whence: int, /) -> object: ... + +@type_check_only +class _SupportsFileMethodsRW(SupportsWrite[bytes], _SupportsFileMethods, Protocol): + pass + +@type_check_only +class _SupportsItem(Protocol[_T_co]): + def item(self, /) -> _T_co: ... + +@type_check_only +class _SupportsDLPack(Protocol[_T_contra]): + def __dlpack__(self, /, *, stream: _T_contra | None = None) -> CapsuleType: ... + +@type_check_only +class _HasDType(Protocol[_T_co]): + @property + def dtype(self, /) -> _T_co: ... + +@type_check_only +class _HasRealAndImag(Protocol[_RealT_co, _ImagT_co]): + @property + def real(self, /) -> _RealT_co: ... + @property + def imag(self, /) -> _ImagT_co: ... + +@type_check_only +class _HasTypeWithRealAndImag(Protocol[_RealT_co, _ImagT_co]): + @property + def type(self, /) -> type[_HasRealAndImag[_RealT_co, _ImagT_co]]: ... + +@type_check_only +class _HasDTypeWithRealAndImag(Protocol[_RealT_co, _ImagT_co]): + @property + def dtype(self, /) -> _HasTypeWithRealAndImag[_RealT_co, _ImagT_co]: ... + +@type_check_only +class _HasDateAttributes(Protocol): + # The `datetime64` constructors requires an object with the three attributes below, + # and thus supports datetime duck typing + @property + def day(self) -> int: ... + @property + def month(self) -> int: ... + @property + def year(self) -> int: ... + + +### Mixins (for internal use only) + +@type_check_only +class _RealMixin: + @property + def real(self) -> Self: ... + @property + def imag(self) -> Self: ... + +@type_check_only +class _RoundMixin: + @overload + def __round__(self, /, ndigits: None = None) -> int: ... + @overload + def __round__(self, /, ndigits: SupportsIndex) -> Self: ... + +@type_check_only +class _IntegralMixin(_RealMixin): + @property + def numerator(self) -> Self: ... + @property + def denominator(self) -> L[1]: ... + + def is_integer(self, /) -> L[True]: ... + +### Public API + +__version__: Final[LiteralString] = ... + +e: Final[float] = ... +euler_gamma: Final[float] = ... +pi: Final[float] = ... +inf: Final[float] = ... +nan: Final[float] = ... +little_endian: Final[builtins.bool] = ... +False_: Final[np.bool[L[False]]] = ... +True_: Final[np.bool[L[True]]] = ... +newaxis: Final[None] = None + +# not in __all__ +__NUMPY_SETUP__: Final[L[False]] = False +__numpy_submodules__: Final[set[LiteralString]] = ... +__former_attrs__: Final[_FormerAttrsDict] = ... +__future_scalars__: Final[set[L["bytes", "str", "object"]]] = ... +__array_api_version__: Final[L["2023.12"]] = "2023.12" +test: Final[PytestTester] = ... + +@type_check_only +class _DTypeMeta(type): + @property + def type(cls, /) -> type[generic] | None: ... + @property + def _abstract(cls, /) -> bool: ... + @property + def _is_numeric(cls, /) -> bool: ... + @property + def _parametric(cls, /) -> bool: ... + @property + def _legacy(cls, /) -> bool: ... + +@final +class dtype(Generic[_SCT_co], metaclass=_DTypeMeta): + names: None | tuple[builtins.str, ...] + def __hash__(self) -> int: ... + + # `None` results in the default dtype + @overload + def __new__( + cls, + dtype: None | type[float64], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ... + ) -> dtype[float64]: ... + + # Overload for `dtype` instances, scalar types, and instances that have a + # `dtype: dtype[_SCT]` attribute + @overload + def __new__( + cls, + dtype: _DTypeLike[_SCT], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[_SCT]: ... + + # Builtin types + # + # NOTE: Typecheckers act as if `bool <: int <: float <: complex <: object`, + # even though at runtime `int`, `float`, and `complex` aren't subtypes.. + # This makes it impossible to express e.g. "a float that isn't an int", + # since type checkers treat `_: float` like `_: float | int`. + # + # For more details, see: + # - https://github.com/numpy/numpy/issues/27032#issuecomment-2278958251 + # - https://typing.readthedocs.io/en/latest/spec/special-types.html#special-cases-for-float-and-complex + @overload + def __new__( + cls, + dtype: type[builtins.bool | np.bool], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[np.bool]: ... + # NOTE: `_: type[int]` also accepts `type[int | bool]` + @overload + def __new__( + cls, + dtype: type[int | int_ | np.bool], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[int_ | np.bool]: ... + # NOTE: `_: type[float]` also accepts `type[float | int | bool]` + # NOTE: `float64` inherits from `float` at runtime; but this isn't + # reflected in these stubs. So an explicit `float64` is required here. + @overload + def __new__( + cls, + dtype: None | type[float | float64 | int_ | np.bool], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[float64 | int_ | np.bool]: ... + # NOTE: `_: type[complex]` also accepts `type[complex | float | int | bool]` + @overload + def __new__( + cls, + dtype: type[complex | complex128 | float64 | int_ | np.bool], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[complex128 | float64 | int_ | np.bool]: ... + @overload + def __new__( + cls, + dtype: type[bytes], # also includes `type[bytes_]` + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[bytes_]: ... + @overload + def __new__( + cls, + dtype: type[str], # also includes `type[str_]` + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[str_]: ... + # NOTE: These `memoryview` overloads assume PEP 688, which requires mypy to + # be run with the (undocumented) `--disable-memoryview-promotion` flag, + # This will be the default in a future mypy release, see: + # https://github.com/python/mypy/issues/15313 + # Pyright / Pylance requires setting `disableBytesTypePromotions=true`, + # which is the default in strict mode + @overload + def __new__( + cls, + dtype: type[memoryview | void], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[void]: ... + # NOTE: `_: type[object]` would also accept e.g. `type[object | complex]`, + # and is therefore not included here + @overload + def __new__( + cls, + dtype: type[_BuiltinObjectLike | object_], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[object_]: ... + + # Unions of builtins. + @overload + def __new__( + cls, + dtype: type[bytes | str], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[character]: ... + @overload + def __new__( + cls, + dtype: type[bytes | str | memoryview], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[flexible]: ... + @overload + def __new__( + cls, + dtype: type[complex | bytes | str | memoryview | _BuiltinObjectLike], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[str, Any] = ..., + ) -> dtype[np.bool | int_ | float64 | complex128 | flexible | object_]: ... + + # `unsignedinteger` string-based representations and ctypes + @overload + def __new__(cls, dtype: _UInt8Codes | type[ct.c_uint8], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[uint8]: ... + @overload + def __new__(cls, dtype: _UInt16Codes | type[ct.c_uint16], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[uint16]: ... + @overload + def __new__(cls, dtype: _UInt32Codes | type[ct.c_uint32], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[uint32]: ... + @overload + def __new__(cls, dtype: _UInt64Codes | type[ct.c_uint64], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[uint64]: ... + @overload + def __new__(cls, dtype: _UByteCodes | type[ct.c_ubyte], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[ubyte]: ... + @overload + def __new__(cls, dtype: _UShortCodes | type[ct.c_ushort], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[ushort]: ... + @overload + def __new__(cls, dtype: _UIntCCodes | type[ct.c_uint], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[uintc]: ... + # NOTE: We're assuming here that `uint_ptr_t == size_t`, + # an assumption that does not hold in rare cases (same for `ssize_t`) + @overload + def __new__(cls, dtype: _UIntPCodes | type[ct.c_void_p] | type[ct.c_size_t], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[uintp]: ... + @overload + def __new__(cls, dtype: _ULongCodes | type[ct.c_ulong], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[ulong]: ... + @overload + def __new__(cls, dtype: _ULongLongCodes | type[ct.c_ulonglong], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[ulonglong]: ... + + # `signedinteger` string-based representations and ctypes + @overload + def __new__(cls, dtype: _Int8Codes | type[ct.c_int8], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[int8]: ... + @overload + def __new__(cls, dtype: _Int16Codes | type[ct.c_int16], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[int16]: ... + @overload + def __new__(cls, dtype: _Int32Codes | type[ct.c_int32], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[int32]: ... + @overload + def __new__(cls, dtype: _Int64Codes | type[ct.c_int64], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[int64]: ... + @overload + def __new__(cls, dtype: _ByteCodes | type[ct.c_byte], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[byte]: ... + @overload + def __new__(cls, dtype: _ShortCodes | type[ct.c_short], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[short]: ... + @overload + def __new__(cls, dtype: _IntCCodes | type[ct.c_int], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[intc]: ... + @overload + def __new__(cls, dtype: _IntPCodes | type[ct.c_ssize_t], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[intp]: ... + @overload + def __new__(cls, dtype: _LongCodes | type[ct.c_long], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[long]: ... + @overload + def __new__(cls, dtype: _LongLongCodes | type[ct.c_longlong], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[longlong]: ... + + # `floating` string-based representations and ctypes + @overload + def __new__(cls, dtype: _Float16Codes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[float16]: ... + @overload + def __new__(cls, dtype: _Float32Codes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[float32]: ... + @overload + def __new__(cls, dtype: _Float64Codes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[float64]: ... + @overload + def __new__(cls, dtype: _HalfCodes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[half]: ... + @overload + def __new__(cls, dtype: _SingleCodes | type[ct.c_float], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[single]: ... + @overload + def __new__(cls, dtype: _DoubleCodes | type[ct.c_double], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[double]: ... + @overload + def __new__(cls, dtype: _LongDoubleCodes | type[ct.c_longdouble], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[longdouble]: ... + + # `complexfloating` string-based representations + @overload + def __new__(cls, dtype: _Complex64Codes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[complex64]: ... + @overload + def __new__(cls, dtype: _Complex128Codes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[complex128]: ... + @overload + def __new__(cls, dtype: _CSingleCodes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[csingle]: ... + @overload + def __new__(cls, dtype: _CDoubleCodes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[cdouble]: ... + @overload + def __new__(cls, dtype: _CLongDoubleCodes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[clongdouble]: ... + + # Miscellaneous string-based representations and ctypes + @overload + def __new__(cls, dtype: _BoolCodes | type[ct.c_bool], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[np.bool]: ... + @overload + def __new__(cls, dtype: _TD64Codes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[timedelta64]: ... + @overload + def __new__(cls, dtype: _DT64Codes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[datetime64]: ... + @overload + def __new__(cls, dtype: _StrCodes, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[str_]: ... + @overload + def __new__(cls, dtype: _BytesCodes | type[ct.c_char], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[bytes_]: ... + @overload + def __new__(cls, dtype: _VoidCodes | _VoidDTypeLike, align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[void]: ... + @overload + def __new__(cls, dtype: _ObjectCodes | type[ct.py_object[Any]], align: builtins.bool = ..., copy: builtins.bool = ..., metadata: dict[builtins.str, Any] = ...) -> dtype[object_]: ... + + # `StringDType` requires special treatment because it has no scalar type + @overload + def __new__( + cls, + dtype: dtypes.StringDType | _StringCodes, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ... + ) -> dtypes.StringDType: ... + + # Combined char-codes and ctypes, analogous to the scalar-type hierarchy + @overload + def __new__( + cls, + dtype: _UnsignedIntegerCodes | _UnsignedIntegerCType, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[unsignedinteger[Any]]: ... + @overload + def __new__( + cls, + dtype: _SignedIntegerCodes | _SignedIntegerCType, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[signedinteger[Any]]: ... + @overload + def __new__( + cls, + dtype: _IntegerCodes | _IntegerCType, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[integer[Any]]: ... + @overload + def __new__( + cls, + dtype: _FloatingCodes | _FloatingCType, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[floating[Any]]: ... + @overload + def __new__( + cls, + dtype: _ComplexFloatingCodes, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[complexfloating[Any, Any]]: ... + @overload + def __new__( + cls, + dtype: _InexactCodes | _FloatingCType, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[inexact[Any]]: ... + @overload + def __new__( + cls, + dtype: _NumberCodes | _NumberCType, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[number[Any]]: ... + @overload + def __new__( + cls, + dtype: _CharacterCodes | type[ct.c_char], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[character]: ... + @overload + def __new__( + cls, + dtype: _FlexibleCodes | type[ct.c_char], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[flexible]: ... + @overload + def __new__( + cls, + dtype: _GenericCodes | _GenericCType, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[generic]: ... + + # Handle strings that can't be expressed as literals; i.e. "S1", "S2", ... + @overload + def __new__( + cls, + dtype: builtins.str, + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[Any]: ... + + # Catch-all overload for object-likes + # NOTE: `object_ | Any` is *not* equivalent to `Any` -- it describes some + # (static) type `T` s.t. `object_ <: T <: builtins.object` (`<:` denotes + # the subtyping relation, the (gradual) typing analogue of `issubclass()`). + # https://typing.readthedocs.io/en/latest/spec/concepts.html#union-types + @overload + def __new__( + cls, + dtype: type[object], + align: builtins.bool = ..., + copy: builtins.bool = ..., + metadata: dict[builtins.str, Any] = ..., + ) -> dtype[object_ | Any]: ... + + def __class_getitem__(cls, item: Any, /) -> GenericAlias: ... + + @overload + def __getitem__(self: dtype[void], key: list[builtins.str], /) -> dtype[void]: ... + @overload + def __getitem__(self: dtype[void], key: builtins.str | SupportsIndex, /) -> dtype[Any]: ... + + # NOTE: In the future 1-based multiplications will also yield `flexible` dtypes + @overload + def __mul__(self: _DType, value: L[1], /) -> _DType: ... + @overload + def __mul__(self: _FlexDType, value: SupportsIndex, /) -> _FlexDType: ... + @overload + def __mul__(self, value: SupportsIndex, /) -> dtype[void]: ... + + # NOTE: `__rmul__` seems to be broken when used in combination with + # literals as of mypy 0.902. Set the return-type to `dtype[Any]` for + # now for non-flexible dtypes. + @overload + def __rmul__(self: _FlexDType, value: SupportsIndex, /) -> _FlexDType: ... + @overload + def __rmul__(self, value: SupportsIndex, /) -> dtype[Any]: ... + + def __gt__(self, other: DTypeLike, /) -> builtins.bool: ... + def __ge__(self, other: DTypeLike, /) -> builtins.bool: ... + def __lt__(self, other: DTypeLike, /) -> builtins.bool: ... + def __le__(self, other: DTypeLike, /) -> builtins.bool: ... + + # Explicitly defined `__eq__` and `__ne__` to get around mypy's + # `strict_equality` option; even though their signatures are + # identical to their `object`-based counterpart + def __eq__(self, other: Any, /) -> builtins.bool: ... + def __ne__(self, other: Any, /) -> builtins.bool: ... + + @property + def alignment(self) -> int: ... + @property + def base(self) -> dtype[Any]: ... + @property + def byteorder(self) -> _ByteOrderChar: ... + @property + def char(self) -> _DTypeChar: ... + @property + def descr(self) -> list[tuple[LiteralString, LiteralString] | tuple[LiteralString, LiteralString, _Shape]]: ... + @property + def fields(self,) -> None | MappingProxyType[LiteralString, tuple[dtype[Any], int] | tuple[dtype[Any], int, Any]]: ... + @property + def flags(self) -> int: ... + @property + def hasobject(self) -> builtins.bool: ... + @property + def isbuiltin(self) -> _DTypeBuiltinKind: ... + @property + def isnative(self) -> builtins.bool: ... + @property + def isalignedstruct(self) -> builtins.bool: ... + @property + def itemsize(self) -> int: ... + @property + def kind(self) -> _DTypeKind: ... + @property + def metadata(self) -> None | MappingProxyType[builtins.str, Any]: ... + @property + def name(self) -> LiteralString: ... + @property + def num(self) -> _DTypeNum: ... + @property + def shape(self) -> tuple[()] | _Shape: ... + @property + def ndim(self) -> int: ... + @property + def subdtype(self) -> None | tuple[dtype[Any], _Shape]: ... + def newbyteorder(self, new_order: _ByteOrder = ..., /) -> Self: ... + @property + def str(self) -> LiteralString: ... + @property + def type(self) -> type[_SCT_co]: ... + + +@final +class flatiter(Generic[_ArrayT_co]): + __hash__: ClassVar[None] + @property + def base(self) -> _ArrayT_co: ... + @property + def coords(self) -> _Shape: ... + @property + def index(self) -> int: ... + def copy(self) -> _ArrayT_co: ... + def __iter__(self) -> Self: ... + def __next__(self: flatiter[NDArray[_SCT]]) -> _SCT: ... + def __len__(self) -> int: ... + @overload + def __getitem__( + self: flatiter[NDArray[_SCT]], + key: int | integer[Any] | tuple[int | integer[Any]], + ) -> _SCT: ... + @overload + def __getitem__( + self, + key: _ArrayLikeInt | slice | EllipsisType | tuple[_ArrayLikeInt | slice | EllipsisType], + ) -> _ArrayT_co: ... + # TODO: `__setitem__` operates via `unsafe` casting rules, and can + # thus accept any type accepted by the relevant underlying `np.generic` + # constructor. + # This means that `value` must in reality be a supertype of `npt.ArrayLike`. + def __setitem__( + self, + key: _ArrayLikeInt | slice | EllipsisType | tuple[_ArrayLikeInt | slice | EllipsisType], + value: Any, + ) -> None: ... + @overload + def __array__(self: flatiter[ndarray[_1DShapeT, _DType]], dtype: None = ..., /) -> ndarray[_1DShapeT, _DType]: ... + @overload + def __array__(self: flatiter[ndarray[_1DShapeT, Any]], dtype: _DType, /) -> ndarray[_1DShapeT, _DType]: ... + @overload + def __array__(self: flatiter[ndarray[_Shape, _DType]], dtype: None = ..., /) -> ndarray[_Shape, _DType]: ... + @overload + def __array__(self, dtype: _DType, /) -> ndarray[_Shape, _DType]: ... + +@type_check_only +class _ArrayOrScalarCommon: + @property + def real(self, /) -> Any: ... + @property + def imag(self, /) -> Any: ... + @property + def T(self) -> Self: ... + @property + def mT(self) -> Self: ... + @property + def data(self) -> memoryview: ... + @property + def flags(self) -> flagsobj: ... + @property + def itemsize(self) -> int: ... + @property + def nbytes(self) -> int: ... + @property + def device(self) -> L["cpu"]: ... + + def __bool__(self, /) -> builtins.bool: ... + def __int__(self, /) -> int: ... + def __float__(self, /) -> float: ... + def __copy__(self) -> Self: ... + def __deepcopy__(self, memo: None | dict[int, Any], /) -> Self: ... + + # TODO: How to deal with the non-commutative nature of `==` and `!=`? + # xref numpy/numpy#17368 + def __eq__(self, other: Any, /) -> Any: ... + def __ne__(self, other: Any, /) -> Any: ... + + def copy(self, order: _OrderKACF = ...) -> Self: ... + def dump(self, file: StrOrBytesPath | SupportsWrite[bytes]) -> None: ... + def dumps(self) -> bytes: ... + def tobytes(self, order: _OrderKACF = ...) -> bytes: ... + # NOTE: `tostring()` is deprecated and therefore excluded + # def tostring(self, order=...): ... + def tofile(self, fid: StrOrBytesPath | _SupportsFileMethods, sep: str = ..., format: str = ...) -> None: ... + # generics and 0d arrays return builtin scalars + def tolist(self) -> Any: ... + def to_device(self, device: L["cpu"], /, *, stream: None | int | Any = ...) -> Self: ... + + @property + def __array_interface__(self) -> dict[str, Any]: ... + @property + def __array_priority__(self) -> float: ... + @property + def __array_struct__(self) -> CapsuleType: ... # builtins.PyCapsule + def __array_namespace__(self, /, *, api_version: _ArrayAPIVersion | None = None) -> ModuleType: ... + def __setstate__(self, state: tuple[ + SupportsIndex, # version + _ShapeLike, # Shape + _DType_co, # DType + np.bool, # F-continuous + bytes | list[Any], # Data + ], /) -> None: ... + + def conj(self) -> Self: ... + def conjugate(self) -> Self: ... + + def argsort( + self, + axis: None | SupportsIndex = ..., + kind: None | _SortKind = ..., + order: None | str | Sequence[str] = ..., + *, + stable: None | bool = ..., + ) -> NDArray[Any]: ... + + @overload # axis=None (default), out=None (default), keepdims=False (default) + def argmax(self, /, axis: None = None, out: None = None, *, keepdims: L[False] = False) -> intp: ... + @overload # axis=index, out=None (default) + def argmax(self, /, axis: SupportsIndex, out: None = None, *, keepdims: builtins.bool = False) -> Any: ... + @overload # axis=index, out=ndarray + def argmax(self, /, axis: SupportsIndex | None, out: _ArrayT, *, keepdims: builtins.bool = False) -> _ArrayT: ... + @overload + def argmax(self, /, axis: SupportsIndex | None = None, *, out: _ArrayT, keepdims: builtins.bool = False) -> _ArrayT: ... + + @overload # axis=None (default), out=None (default), keepdims=False (default) + def argmin(self, /, axis: None = None, out: None = None, *, keepdims: L[False] = False) -> intp: ... + @overload # axis=index, out=None (default) + def argmin(self, /, axis: SupportsIndex, out: None = None, *, keepdims: builtins.bool = False) -> Any: ... + @overload # axis=index, out=ndarray + def argmin(self, /, axis: SupportsIndex | None, out: _ArrayT, *, keepdims: builtins.bool = False) -> _ArrayT: ... + @overload + def argmin(self, /, axis: SupportsIndex | None = None, *, out: _ArrayT, keepdims: builtins.bool = False) -> _ArrayT: ... + + @overload # out=None (default) + def round(self, /, decimals: SupportsIndex = 0, out: None = None) -> Self: ... + @overload # out=ndarray + def round(self, /, decimals: SupportsIndex, out: _ArrayT) -> _ArrayT: ... + @overload + def round(self, /, decimals: SupportsIndex = 0, *, out: _ArrayT) -> _ArrayT: ... + + @overload # out=None (default) + def choose(self, /, choices: ArrayLike, out: None = None, mode: _ModeKind = "raise") -> NDArray[Any]: ... + @overload # out=ndarray + def choose(self, /, choices: ArrayLike, out: _ArrayT, mode: _ModeKind = "raise") -> _ArrayT: ... + + # TODO: Annotate kwargs with an unpacked `TypedDict` + @overload # out: None (default) + def clip(self, /, min: ArrayLike, max: ArrayLike | None = None, out: None = None, **kwargs: Any) -> NDArray[Any]: ... + @overload + def clip(self, /, min: None, max: ArrayLike, out: None = None, **kwargs: Any) -> NDArray[Any]: ... + @overload + def clip(self, /, min: None = None, *, max: ArrayLike, out: None = None, **kwargs: Any) -> NDArray[Any]: ... + @overload # out: ndarray + def clip(self, /, min: ArrayLike, max: ArrayLike | None, out: _ArrayT, **kwargs: Any) -> _ArrayT: ... + @overload + def clip(self, /, min: ArrayLike, max: ArrayLike | None = None, *, out: _ArrayT, **kwargs: Any) -> _ArrayT: ... + @overload + def clip(self, /, min: None, max: ArrayLike, out: _ArrayT, **kwargs: Any) -> _ArrayT: ... + @overload + def clip(self, /, min: None = None, *, max: ArrayLike, out: _ArrayT, **kwargs: Any) -> _ArrayT: ... + + @overload + def compress(self, /, condition: _ArrayLikeInt_co, axis: SupportsIndex | None = None, out: None = None) -> NDArray[Any]: ... + @overload + def compress(self, /, condition: _ArrayLikeInt_co, axis: SupportsIndex | None, out: _ArrayT) -> _ArrayT: ... + @overload + def compress(self, /, condition: _ArrayLikeInt_co, axis: SupportsIndex | None = None, *, out: _ArrayT) -> _ArrayT: ... + + @overload # out: None (default) + def cumprod(self, /, axis: SupportsIndex | None = None, dtype: DTypeLike | None = None, out: None = None) -> NDArray[Any]: ... + @overload # out: ndarray + def cumprod(self, /, axis: SupportsIndex | None, dtype: DTypeLike | None, out: _ArrayT) -> _ArrayT: ... + @overload + def cumprod(self, /, axis: SupportsIndex | None = None, dtype: DTypeLike | None = None, *, out: _ArrayT) -> _ArrayT: ... + + @overload # out: None (default) + def cumsum(self, /, axis: SupportsIndex | None = None, dtype: DTypeLike | None = None, out: None = None) -> NDArray[Any]: ... + @overload # out: ndarray + def cumsum(self, /, axis: SupportsIndex | None, dtype: DTypeLike | None, out: _ArrayT) -> _ArrayT: ... + @overload + def cumsum(self, /, axis: SupportsIndex | None = None, dtype: DTypeLike | None = None, *, out: _ArrayT) -> _ArrayT: ... + + @overload + def max( + self, + /, + axis: _ShapeLike | None = None, + out: None = None, + keepdims: builtins.bool = False, + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = True, + ) -> Any: ... + @overload + def max( + self, + /, + axis: _ShapeLike | None, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + @overload + def max( + self, + /, + axis: _ShapeLike | None = None, + *, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + + @overload + def min( + self, + /, + axis: _ShapeLike | None = None, + out: None = None, + keepdims: builtins.bool = False, + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = True, + ) -> Any: ... + @overload + def min( + self, + /, + axis: _ShapeLike | None, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + @overload + def min( + self, + /, + axis: _ShapeLike | None = None, + *, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + + @overload + def sum( + self, + /, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + out: None = None, + keepdims: builtins.bool = False, + initial: _NumberLike_co = 0, + where: _ArrayLikeBool_co = True, + ) -> Any: ... + @overload + def sum( + self, + /, + axis: _ShapeLike | None, + dtype: DTypeLike | None, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = 0, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + @overload + def sum( + self, + /, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + *, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = 0, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + + @overload + def prod( + self, + /, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + out: None = None, + keepdims: builtins.bool = False, + initial: _NumberLike_co = 1, + where: _ArrayLikeBool_co = True, + ) -> Any: ... + @overload + def prod( + self, + /, + axis: _ShapeLike | None, + dtype: DTypeLike | None, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = 1, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + @overload + def prod( + self, + /, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + *, + out: _ArrayT, + keepdims: builtins.bool = False, + initial: _NumberLike_co = 1, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + + @overload + def mean( + self, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + out: None = None, + keepdims: builtins.bool = False, + *, + where: _ArrayLikeBool_co = True, + ) -> Any: ... + @overload + def mean( + self, + /, + axis: _ShapeLike | None, + dtype: DTypeLike | None, + out: _ArrayT, + keepdims: builtins.bool = False, + *, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + @overload + def mean( + self, + /, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + *, + out: _ArrayT, + keepdims: builtins.bool = False, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + + @overload + def std( + self, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + out: None = None, + ddof: float = 0, + keepdims: builtins.bool = False, + *, + where: _ArrayLikeBool_co = True, + mean: _ArrayLikeNumber_co = ..., + correction: float = ..., + ) -> Any: ... + @overload + def std( + self, + axis: _ShapeLike | None, + dtype: DTypeLike | None, + out: _ArrayT, + ddof: float = 0, + keepdims: builtins.bool = False, + *, + where: _ArrayLikeBool_co = True, + mean: _ArrayLikeNumber_co = ..., + correction: float = ..., + ) -> _ArrayT: ... + @overload + def std( + self, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + *, + out: _ArrayT, + ddof: float = 0, + keepdims: builtins.bool = False, + where: _ArrayLikeBool_co = True, + mean: _ArrayLikeNumber_co = ..., + correction: float = ..., + ) -> _ArrayT: ... + + @overload + def var( + self, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + out: None = None, + ddof: float = 0, + keepdims: builtins.bool = False, + *, + where: _ArrayLikeBool_co = True, + mean: _ArrayLikeNumber_co = ..., + correction: float = ..., + ) -> Any: ... + @overload + def var( + self, + axis: _ShapeLike | None, + dtype: DTypeLike | None, + out: _ArrayT, + ddof: float = 0, + keepdims: builtins.bool = False, + *, + where: _ArrayLikeBool_co = True, + mean: _ArrayLikeNumber_co = ..., + correction: float = ..., + ) -> _ArrayT: ... + @overload + def var( + self, + axis: _ShapeLike | None = None, + dtype: DTypeLike | None = None, + *, + out: _ArrayT, + ddof: float = 0, + keepdims: builtins.bool = False, + where: _ArrayLikeBool_co = True, + mean: _ArrayLikeNumber_co = ..., + correction: float = ..., + ) -> _ArrayT: ... + +class ndarray(_ArrayOrScalarCommon, Generic[_ShapeT_co, _DType_co]): + __hash__: ClassVar[None] # type: ignore[assignment] # pyright: ignore[reportIncompatibleMethodOverride] + @property + def base(self) -> None | NDArray[Any]: ... + @property + def ndim(self) -> int: ... + @property + def size(self) -> int: ... + @property + def real(self: _HasDTypeWithRealAndImag[_SCT, object], /) -> ndarray[_ShapeT_co, dtype[_SCT]]: ... + @real.setter + def real(self, value: ArrayLike, /) -> None: ... + @property + def imag(self: _HasDTypeWithRealAndImag[object, _SCT], /) -> ndarray[_ShapeT_co, dtype[_SCT]]: ... + @imag.setter + def imag(self, value: ArrayLike, /) -> None: ... + + def __new__( + cls, + shape: _ShapeLike, + dtype: DTypeLike = ..., + buffer: None | _SupportsBuffer = ..., + offset: SupportsIndex = ..., + strides: None | _ShapeLike = ..., + order: _OrderKACF = ..., + ) -> Self: ... + + if sys.version_info >= (3, 12): + def __buffer__(self, flags: int, /) -> memoryview: ... + + def __class_getitem__(cls, item: Any, /) -> GenericAlias: ... + + @overload + def __array__( + self, dtype: None = ..., /, *, copy: None | bool = ... + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __array__( + self, dtype: _DType, /, *, copy: None | bool = ... + ) -> ndarray[_ShapeT_co, _DType]: ... + + def __array_ufunc__( + self, + ufunc: ufunc, + method: L["__call__", "reduce", "reduceat", "accumulate", "outer", "at"], + *inputs: Any, + **kwargs: Any, + ) -> Any: ... + + def __array_function__( + self, + func: Callable[..., Any], + types: Iterable[type], + args: Iterable[Any], + kwargs: Mapping[str, Any], + ) -> Any: ... + + # NOTE: In practice any object is accepted by `obj`, but as `__array_finalize__` + # is a pseudo-abstract method the type has been narrowed down in order to + # grant subclasses a bit more flexibility + def __array_finalize__(self, obj: None | NDArray[Any], /) -> None: ... + + def __array_wrap__( + self, + array: ndarray[_ShapeT, _DType], + context: None | tuple[ufunc, tuple[Any, ...], int] = ..., + return_scalar: builtins.bool = ..., + /, + ) -> ndarray[_ShapeT, _DType]: ... + + @overload + def __getitem__(self, key: _ArrayInt_co | tuple[_ArrayInt_co, ...], /) -> ndarray[_Shape, _DType_co]: ... + @overload + def __getitem__(self, key: SupportsIndex | tuple[SupportsIndex, ...], /) -> Any: ... + @overload + def __getitem__(self, key: _ToIndices, /) -> ndarray[_Shape, _DType_co]: ... + @overload + def __getitem__(self: NDArray[void], key: str, /) -> ndarray[_ShapeT_co, np.dtype[Any]]: ... + @overload + def __getitem__(self: NDArray[void], key: list[str], /) -> ndarray[_ShapeT_co, _dtype[void]]: ... + + @overload # flexible | object_ | bool + def __setitem__( + self: ndarray[Any, dtype[flexible | object_ | np.bool] | dtypes.StringDType], + key: _ToIndices, + value: object, + /, + ) -> None: ... + @overload # integer + def __setitem__( + self: NDArray[integer], + key: _ToIndices, + value: _ConvertibleToInt | _NestedSequence[_ConvertibleToInt] | _ArrayLikeInt_co, + /, + ) -> None: ... + @overload # floating + def __setitem__( + self: NDArray[floating], + key: _ToIndices, + value: _ConvertibleToFloat | _NestedSequence[_ConvertibleToFloat | None] | _ArrayLikeFloat_co | None, + /, + ) -> None: ... + @overload # complexfloating + def __setitem__( + self: NDArray[complexfloating], + key: _ToIndices, + value: _ConvertibleToComplex | _NestedSequence[_ConvertibleToComplex | None] | _ArrayLikeNumber_co | None, + /, + ) -> None: ... + @overload # timedelta64 + def __setitem__( + self: NDArray[timedelta64], + key: _ToIndices, + value: _ConvertibleToTD64 | _NestedSequence[_ConvertibleToTD64], + /, + ) -> None: ... + @overload # datetime64 + def __setitem__( + self: NDArray[datetime64], + key: _ToIndices, + value: _ConvertibleToDT64 | _NestedSequence[_ConvertibleToDT64], + /, + ) -> None: ... + @overload # void + def __setitem__(self: NDArray[void], key: str | list[str], value: object, /) -> None: ... + @overload # catch-all + def __setitem__(self, key: _ToIndices, value: ArrayLike, /) -> None: ... + + @property + def ctypes(self) -> _ctypes[int]: ... + @property + def shape(self) -> _ShapeT_co: ... + @shape.setter + def shape(self, value: _ShapeLike) -> None: ... + @property + def strides(self) -> _Shape: ... + @strides.setter + def strides(self, value: _ShapeLike) -> None: ... + def byteswap(self, inplace: builtins.bool = ...) -> Self: ... + def fill(self, value: Any) -> None: ... + @property + def flat(self) -> flatiter[Self]: ... + + @overload # use the same output type as that of the underlying `generic` + def item(self: NDArray[generic[_T]], i0: SupportsIndex | tuple[SupportsIndex, ...] = ..., /, *args: SupportsIndex) -> _T: ... + @overload # special casing for `StringDType`, which has no scalar type + def item( + self: ndarray[Any, dtypes.StringDType], + arg0: SupportsIndex | tuple[SupportsIndex, ...] = ..., + /, + *args: SupportsIndex, + ) -> str: ... + + @overload + def tolist(self: ndarray[tuple[()], dtype[generic[_T]]], /) -> _T: ... + @overload + def tolist(self: ndarray[tuple[int], dtype[generic[_T]]], /) -> list[_T]: ... + @overload + def tolist(self: ndarray[tuple[int, int], dtype[generic[_T]]], /) -> list[list[_T]]: ... + @overload + def tolist(self: ndarray[tuple[int, int, int], dtype[generic[_T]]], /) -> list[list[list[_T]]]: ... + @overload + def tolist(self, /) -> Any: ... + + @overload + def resize(self, new_shape: _ShapeLike, /, *, refcheck: builtins.bool = ...) -> None: ... + @overload + def resize(self, /, *new_shape: SupportsIndex, refcheck: builtins.bool = ...) -> None: ... + + def setflags(self, write: builtins.bool = ..., align: builtins.bool = ..., uic: builtins.bool = ...) -> None: ... + + def squeeze( + self, + axis: None | SupportsIndex | tuple[SupportsIndex, ...] = ..., + ) -> ndarray[_Shape, _DType_co]: ... + + def swapaxes( + self, + axis1: SupportsIndex, + axis2: SupportsIndex, + ) -> ndarray[_Shape, _DType_co]: ... + + @overload + def transpose(self, axes: None | _ShapeLike, /) -> Self: ... + @overload + def transpose(self, *axes: SupportsIndex) -> Self: ... + + @overload + def all( + self, + axis: None = None, + out: None = None, + keepdims: L[False, 0] = False, + *, + where: _ArrayLikeBool_co = True + ) -> np.bool: ... + @overload + def all( + self, + axis: None | int | tuple[int, ...] = None, + out: None = None, + keepdims: SupportsIndex = False, + *, + where: _ArrayLikeBool_co = True, + ) -> np.bool | NDArray[np.bool]: ... + @overload + def all( + self, + axis: None | int | tuple[int, ...], + out: _ArrayT, + keepdims: SupportsIndex = False, + *, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + @overload + def all( + self, + axis: None | int | tuple[int, ...] = None, + *, + out: _ArrayT, + keepdims: SupportsIndex = False, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + + @overload + def any( + self, + axis: None = None, + out: None = None, + keepdims: L[False, 0] = False, + *, + where: _ArrayLikeBool_co = True + ) -> np.bool: ... + @overload + def any( + self, + axis: None | int | tuple[int, ...] = None, + out: None = None, + keepdims: SupportsIndex = False, + *, + where: _ArrayLikeBool_co = True, + ) -> np.bool | NDArray[np.bool]: ... + @overload + def any( + self, + axis: None | int | tuple[int, ...], + out: _ArrayT, + keepdims: SupportsIndex = False, + *, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + @overload + def any( + self, + axis: None | int | tuple[int, ...] = None, + *, + out: _ArrayT, + keepdims: SupportsIndex = False, + where: _ArrayLikeBool_co = True, + ) -> _ArrayT: ... + + # + @overload + def partition( + self, + /, + kth: _ArrayLikeInt, + axis: SupportsIndex = -1, + kind: _PartitionKind = "introselect", + order: None = None, + ) -> None: ... + @overload + def partition( + self: NDArray[void], + /, + kth: _ArrayLikeInt, + axis: SupportsIndex = -1, + kind: _PartitionKind = "introselect", + order: str | Sequence[str] | None = None, + ) -> None: ... + + # + @overload + def argpartition( + self, + /, + kth: _ArrayLikeInt, + axis: SupportsIndex | None = -1, + kind: _PartitionKind = "introselect", + order: None = None, + ) -> NDArray[intp]: ... + @overload + def argpartition( + self: NDArray[void], + /, + kth: _ArrayLikeInt, + axis: SupportsIndex | None = -1, + kind: _PartitionKind = "introselect", + order: str | Sequence[str] | None = None, + ) -> NDArray[intp]: ... + + # + def diagonal( + self, + offset: SupportsIndex = ..., + axis1: SupportsIndex = ..., + axis2: SupportsIndex = ..., + ) -> ndarray[_Shape, _DType_co]: ... + + # 1D + 1D returns a scalar; + # all other with at least 1 non-0D array return an ndarray. + @overload + def dot(self, b: _ScalarLike_co, out: None = ...) -> NDArray[Any]: ... + @overload + def dot(self, b: ArrayLike, out: None = ...) -> Any: ... # type: ignore[misc] + @overload + def dot(self, b: ArrayLike, out: _ArrayT) -> _ArrayT: ... + + # `nonzero()` is deprecated for 0d arrays/generics + def nonzero(self) -> tuple[NDArray[intp], ...]: ... + + # `put` is technically available to `generic`, + # but is pointless as `generic`s are immutable + def put(self, /, indices: _ArrayLikeInt_co, values: ArrayLike, mode: _ModeKind = "raise") -> None: ... + + @overload + def searchsorted( # type: ignore[misc] + self, # >= 1D array + v: _ScalarLike_co, # 0D array-like + side: _SortSide = ..., + sorter: None | _ArrayLikeInt_co = ..., + ) -> intp: ... + @overload + def searchsorted( + self, # >= 1D array + v: ArrayLike, + side: _SortSide = ..., + sorter: None | _ArrayLikeInt_co = ..., + ) -> NDArray[intp]: ... + + def sort( + self, + axis: SupportsIndex = ..., + kind: None | _SortKind = ..., + order: None | str | Sequence[str] = ..., + *, + stable: None | bool = ..., + ) -> None: ... + + @overload + def trace( + self, # >= 2D array + offset: SupportsIndex = ..., + axis1: SupportsIndex = ..., + axis2: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: None = ..., + ) -> Any: ... + @overload + def trace( + self, # >= 2D array + offset: SupportsIndex = ..., + axis1: SupportsIndex = ..., + axis2: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: _ArrayT = ..., + ) -> _ArrayT: ... + + @overload + def take( # type: ignore[misc] + self: NDArray[_SCT], + indices: _IntLike_co, + axis: None | SupportsIndex = ..., + out: None = ..., + mode: _ModeKind = ..., + ) -> _SCT: ... + @overload + def take( # type: ignore[misc] + self, + indices: _ArrayLikeInt_co, + axis: None | SupportsIndex = ..., + out: None = ..., + mode: _ModeKind = ..., + ) -> ndarray[_Shape, _DType_co]: ... + @overload + def take( + self, + indices: _ArrayLikeInt_co, + axis: None | SupportsIndex = ..., + out: _ArrayT = ..., + mode: _ModeKind = ..., + ) -> _ArrayT: ... + + def repeat( + self, + repeats: _ArrayLikeInt_co, + axis: None | SupportsIndex = ..., + ) -> ndarray[_Shape, _DType_co]: ... + + def flatten(self, /, order: _OrderKACF = "C") -> ndarray[tuple[int], _DType_co]: ... + def ravel(self, /, order: _OrderKACF = "C") -> ndarray[tuple[int], _DType_co]: ... + + # NOTE: reshape also accepts negative integers, so we can't use integer literals + @overload # (None) + def reshape(self, shape: None, /, *, order: _OrderACF = "C", copy: builtins.bool | None = None) -> Self: ... + @overload # (empty_sequence) + def reshape( # type: ignore[overload-overlap] # mypy false positive + self, + shape: Sequence[Never], + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[()], _DType_co]: ... + @overload # (() | (int) | (int, int) | ....) # up to 8-d + def reshape( + self, + shape: _AnyShapeType, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[_AnyShapeType, _DType_co]: ... + @overload # (index) + def reshape( + self, + size1: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[int], _DType_co]: ... + @overload # (index, index) + def reshape( + self, + size1: SupportsIndex, + size2: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[int, int], _DType_co]: ... + @overload # (index, index, index) + def reshape( + self, + size1: SupportsIndex, + size2: SupportsIndex, + size3: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[int, int, int], _DType_co]: ... + @overload # (index, index, index, index) + def reshape( + self, + size1: SupportsIndex, + size2: SupportsIndex, + size3: SupportsIndex, + size4: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[int, int, int, int], _DType_co]: ... + @overload # (int, *(index, ...)) + def reshape( + self, + size0: SupportsIndex, + /, + *shape: SupportsIndex, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[_Shape, _DType_co]: ... + @overload # (sequence[index]) + def reshape( + self, + shape: Sequence[SupportsIndex], + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[_Shape, _DType_co]: ... + + @overload + def astype( + self, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + casting: _CastingKind = ..., + subok: builtins.bool = ..., + copy: builtins.bool | _CopyMode = ..., + ) -> ndarray[_ShapeT_co, dtype[_SCT]]: ... + @overload + def astype( + self, + dtype: DTypeLike, + order: _OrderKACF = ..., + casting: _CastingKind = ..., + subok: builtins.bool = ..., + copy: builtins.bool | _CopyMode = ..., + ) -> ndarray[_ShapeT_co, dtype[Any]]: ... + + # + @overload # () + def view(self, /) -> Self: ... + @overload # (dtype: T) + def view(self, /, dtype: _DType | _HasDType[_DType]) -> ndarray[_ShapeT_co, _DType]: ... + @overload # (dtype: dtype[T]) + def view(self, /, dtype: _DTypeLike[_SCT]) -> NDArray[_SCT]: ... + @overload # (type: T) + def view(self, /, *, type: type[_ArrayT]) -> _ArrayT: ... + @overload # (_: T) + def view(self, /, dtype: type[_ArrayT]) -> _ArrayT: ... + @overload # (dtype: ?) + def view(self, /, dtype: DTypeLike) -> ndarray[_ShapeT_co, dtype[Any]]: ... + @overload # (dtype: ?, type: type[T]) + def view(self, /, dtype: DTypeLike, type: type[_ArrayT]) -> _ArrayT: ... + + def setfield(self, /, val: ArrayLike, dtype: DTypeLike, offset: SupportsIndex = 0) -> None: ... + @overload + def getfield(self, dtype: _DTypeLike[_SCT], offset: SupportsIndex = 0) -> NDArray[_SCT]: ... + @overload + def getfield(self, dtype: DTypeLike, offset: SupportsIndex = 0) -> NDArray[Any]: ... + + def __index__(self: NDArray[integer], /) -> int: ... + def __complex__(self: NDArray[number | np.bool | object_], /) -> complex: ... + + def __len__(self) -> int: ... + def __contains__(self, value: object, /) -> builtins.bool: ... + + @overload # == 1-d & object_ + def __iter__(self: ndarray[tuple[int], dtype[object_]], /) -> Iterator[Any]: ... + @overload # == 1-d + def __iter__(self: ndarray[tuple[int], dtype[_SCT]], /) -> Iterator[_SCT]: ... + @overload # >= 2-d + def __iter__(self: ndarray[tuple[int, int, Unpack[tuple[int, ...]]], dtype[_SCT]], /) -> Iterator[NDArray[_SCT]]: ... + @overload # ?-d + def __iter__(self, /) -> Iterator[Any]: ... + + # + @overload + def __lt__(self: _ArrayNumber_co, other: _ArrayLikeNumber_co, /) -> NDArray[np.bool]: ... + @overload + def __lt__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[np.bool]: ... + @overload + def __lt__(self: NDArray[datetime64], other: _ArrayLikeDT64_co, /) -> NDArray[np.bool]: ... + @overload + def __lt__(self: NDArray[bytes_], other: _ArrayLikeBytes_co, /) -> NDArray[np.bool]: ... + @overload + def __lt__( + self: ndarray[Any, dtype[str_] | dtypes.StringDType], other: _ArrayLikeStr_co | _ArrayLikeString_co, / + ) -> NDArray[np.bool]: ... + @overload + def __lt__(self: NDArray[object_], other: object, /) -> NDArray[np.bool]: ... + @overload + def __lt__(self, other: _ArrayLikeObject_co, /) -> NDArray[np.bool]: ... + + # + @overload + def __le__(self: _ArrayNumber_co, other: _ArrayLikeNumber_co, /) -> NDArray[np.bool]: ... + @overload + def __le__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[np.bool]: ... + @overload + def __le__(self: NDArray[datetime64], other: _ArrayLikeDT64_co, /) -> NDArray[np.bool]: ... + @overload + def __le__(self: NDArray[bytes_], other: _ArrayLikeBytes_co, /) -> NDArray[np.bool]: ... + @overload + def __le__( + self: ndarray[Any, dtype[str_] | dtypes.StringDType], other: _ArrayLikeStr_co | _ArrayLikeString_co, / + ) -> NDArray[np.bool]: ... + @overload + def __le__(self: NDArray[object_], other: object, /) -> NDArray[np.bool]: ... + @overload + def __le__(self, other: _ArrayLikeObject_co, /) -> NDArray[np.bool]: ... + + # + @overload + def __gt__(self: _ArrayNumber_co, other: _ArrayLikeNumber_co, /) -> NDArray[np.bool]: ... + @overload + def __gt__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[np.bool]: ... + @overload + def __gt__(self: NDArray[datetime64], other: _ArrayLikeDT64_co, /) -> NDArray[np.bool]: ... + @overload + def __gt__(self: NDArray[bytes_], other: _ArrayLikeBytes_co, /) -> NDArray[np.bool]: ... + @overload + def __gt__( + self: ndarray[Any, dtype[str_] | dtypes.StringDType], other: _ArrayLikeStr_co | _ArrayLikeString_co, / + ) -> NDArray[np.bool]: ... + @overload + def __gt__(self: NDArray[object_], other: object, /) -> NDArray[np.bool]: ... + @overload + def __gt__(self, other: _ArrayLikeObject_co, /) -> NDArray[np.bool]: ... + + # + @overload + def __ge__(self: _ArrayNumber_co, other: _ArrayLikeNumber_co, /) -> NDArray[np.bool]: ... + @overload + def __ge__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[np.bool]: ... + @overload + def __ge__(self: NDArray[datetime64], other: _ArrayLikeDT64_co, /) -> NDArray[np.bool]: ... + @overload + def __ge__(self: NDArray[bytes_], other: _ArrayLikeBytes_co, /) -> NDArray[np.bool]: ... + @overload + def __ge__( + self: ndarray[Any, dtype[str_] | dtypes.StringDType], other: _ArrayLikeStr_co | _ArrayLikeString_co, / + ) -> NDArray[np.bool]: ... + @overload + def __ge__(self: NDArray[object_], other: object, /) -> NDArray[np.bool]: ... + @overload + def __ge__(self, other: _ArrayLikeObject_co, /) -> NDArray[np.bool]: ... + + # Unary ops + + # TODO: Uncomment once https://github.com/python/mypy/issues/14070 is fixed + # @overload + # def __abs__(self: ndarray[_ShapeType, dtypes.Complex64DType], /) -> ndarray[_ShapeType, dtypes.Float32DType]: ... + # @overload + # def __abs__(self: ndarray[_ShapeType, dtypes.Complex128DType], /) -> ndarray[_ShapeType, dtypes.Float64DType]: ... + # @overload + # def __abs__(self: ndarray[_ShapeType, dtypes.CLongDoubleDType], /) -> ndarray[_ShapeType, dtypes.LongDoubleDType]: ... + # @overload + # def __abs__(self: ndarray[_ShapeType, dtype[complex128]], /) -> ndarray[_ShapeType, dtype[float64]]: ... + @overload + def __abs__(self: ndarray[_ShapeT, dtype[complexfloating[_NBit]]], /) -> ndarray[_ShapeT, dtype[floating[_NBit]]]: ... + @overload + def __abs__(self: _RealArrayT, /) -> _RealArrayT: ... + + def __invert__(self: _IntegralArrayT, /) -> _IntegralArrayT: ... # noqa: PYI019 + def __neg__(self: _NumericArrayT, /) -> _NumericArrayT: ... # noqa: PYI019 + def __pos__(self: _NumericArrayT, /) -> _NumericArrayT: ... # noqa: PYI019 + + # Binary ops + + # TODO: Support the "1d @ 1d -> scalar" case + @overload + def __matmul__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... + @overload + def __matmul__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[overload-overlap] + @overload + def __matmul__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __matmul__(self: NDArray[floating[_64Bit]], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __matmul__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __matmul__(self: NDArray[complexfloating[_64Bit]], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __matmul__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __matmul__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __matmul__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __matmul__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __matmul__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... + @overload + def __matmul__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... + @overload + def __matmul__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __matmul__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload # signature equivalent to __matmul__ + def __rmatmul__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... + @overload + def __rmatmul__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[overload-overlap] + @overload + def __rmatmul__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __rmatmul__(self: NDArray[floating[_64Bit]], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __rmatmul__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __rmatmul__(self: NDArray[complexfloating[_64Bit]], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __rmatmul__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __rmatmul__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[overload-overlap] + @overload + def __rmatmul__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... # type: ignore[overload-overlap] + @overload + def __rmatmul__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating[Any]]: ... # type: ignore[overload-overlap] + @overload + def __rmatmul__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating[Any, Any]]: ... + @overload + def __rmatmul__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number[Any]]: ... + @overload + def __rmatmul__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rmatmul__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __mod__(self: NDArray[_RealNumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_RealNumberT]]: ... + @overload + def __mod__(self: NDArray[_RealNumberT], other: _ArrayLikeBool_co, /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __mod__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[overload-overlap] + @overload + def __mod__(self: NDArray[np.bool], other: _ArrayLike[_RealNumberT], /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __mod__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __mod__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __mod__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __mod__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __mod__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... + @overload + def __mod__(self: NDArray[timedelta64], other: _ArrayLike[timedelta64], /) -> NDArray[timedelta64]: ... + @overload + def __mod__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __mod__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload # signature equivalent to __mod__ + def __rmod__(self: NDArray[_RealNumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_RealNumberT]]: ... + @overload + def __rmod__(self: NDArray[_RealNumberT], other: _ArrayLikeBool_co, /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __rmod__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[overload-overlap] + @overload + def __rmod__(self: NDArray[np.bool], other: _ArrayLike[_RealNumberT], /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __rmod__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __rmod__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __rmod__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rmod__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rmod__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... + @overload + def __rmod__(self: NDArray[timedelta64], other: _ArrayLike[timedelta64], /) -> NDArray[timedelta64]: ... + @overload + def __rmod__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rmod__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __divmod__(self: NDArray[_RealNumberT], rhs: int | np.bool, /) -> _2Tuple[ndarray[_ShapeT_co, dtype[_RealNumberT]]]: ... + @overload + def __divmod__(self: NDArray[_RealNumberT], rhs: _ArrayLikeBool_co, /) -> _2Tuple[NDArray[_RealNumberT]]: ... # type: ignore[overload-overlap] + @overload + def __divmod__(self: NDArray[np.bool], rhs: _ArrayLikeBool_co, /) -> _2Tuple[NDArray[int8]]: ... # type: ignore[overload-overlap] + @overload + def __divmod__(self: NDArray[np.bool], rhs: _ArrayLike[_RealNumberT], /) -> _2Tuple[NDArray[_RealNumberT]]: ... # type: ignore[overload-overlap] + @overload + def __divmod__(self: NDArray[float64], rhs: _ArrayLikeFloat64_co, /) -> _2Tuple[NDArray[float64]]: ... + @overload + def __divmod__(self: _ArrayFloat64_co, rhs: _ArrayLike[floating[_64Bit]], /) -> _2Tuple[NDArray[float64]]: ... + @overload + def __divmod__(self: _ArrayUInt_co, rhs: _ArrayLikeUInt_co, /) -> _2Tuple[NDArray[unsignedinteger]]: ... # type: ignore[overload-overlap] + @overload + def __divmod__(self: _ArrayInt_co, rhs: _ArrayLikeInt_co, /) -> _2Tuple[NDArray[signedinteger]]: ... # type: ignore[overload-overlap] + @overload + def __divmod__(self: _ArrayFloat_co, rhs: _ArrayLikeFloat_co, /) -> _2Tuple[NDArray[floating]]: ... + @overload + def __divmod__(self: NDArray[timedelta64], rhs: _ArrayLike[timedelta64], /) -> tuple[NDArray[int64], NDArray[timedelta64]]: ... + + @overload # signature equivalent to __divmod__ + def __rdivmod__(self: NDArray[_RealNumberT], lhs: int | np.bool, /) -> _2Tuple[ndarray[_ShapeT_co, dtype[_RealNumberT]]]: ... + @overload + def __rdivmod__(self: NDArray[_RealNumberT], lhs: _ArrayLikeBool_co, /) -> _2Tuple[NDArray[_RealNumberT]]: ... # type: ignore[overload-overlap] + @overload + def __rdivmod__(self: NDArray[np.bool], lhs: _ArrayLikeBool_co, /) -> _2Tuple[NDArray[int8]]: ... # type: ignore[overload-overlap] + @overload + def __rdivmod__(self: NDArray[np.bool], lhs: _ArrayLike[_RealNumberT], /) -> _2Tuple[NDArray[_RealNumberT]]: ... # type: ignore[overload-overlap] + @overload + def __rdivmod__(self: NDArray[float64], lhs: _ArrayLikeFloat64_co, /) -> _2Tuple[NDArray[float64]]: ... + @overload + def __rdivmod__(self: _ArrayFloat64_co, lhs: _ArrayLike[floating[_64Bit]], /) -> _2Tuple[NDArray[float64]]: ... + @overload + def __rdivmod__(self: _ArrayUInt_co, lhs: _ArrayLikeUInt_co, /) -> _2Tuple[NDArray[unsignedinteger]]: ... # type: ignore[overload-overlap] + @overload + def __rdivmod__(self: _ArrayInt_co, lhs: _ArrayLikeInt_co, /) -> _2Tuple[NDArray[signedinteger]]: ... # type: ignore[overload-overlap] + @overload + def __rdivmod__(self: _ArrayFloat_co, lhs: _ArrayLikeFloat_co, /) -> _2Tuple[NDArray[floating]]: ... + @overload + def __rdivmod__(self: NDArray[timedelta64], lhs: _ArrayLike[timedelta64], /) -> tuple[NDArray[int64], NDArray[timedelta64]]: ... + + @overload + def __add__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __add__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __add__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __add__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __add__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __add__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... # type: ignore[overload-overlap] + @overload + def __add__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[timedelta64]: ... + @overload + def __add__(self: _ArrayTD64_co, other: _ArrayLikeDT64_co, /) -> NDArray[datetime64]: ... + @overload + def __add__(self: NDArray[datetime64], other: _ArrayLikeTD64_co, /) -> NDArray[datetime64]: ... + @overload + def __add__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __add__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload # signature equivalent to __add__ + def __radd__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __radd__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __radd__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __radd__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __radd__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __radd__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... # type: ignore[overload-overlap] + @overload + def __radd__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[timedelta64]: ... + @overload + def __radd__(self: _ArrayTD64_co, other: _ArrayLikeDT64_co, /) -> NDArray[datetime64]: ... + @overload + def __radd__(self: NDArray[datetime64], other: _ArrayLikeTD64_co, /) -> NDArray[datetime64]: ... + @overload + def __radd__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __radd__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __sub__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __sub__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __sub__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NoReturn: ... + @overload + def __sub__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __sub__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __sub__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __sub__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __sub__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __sub__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __sub__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __sub__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __sub__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... # type: ignore[overload-overlap] + @overload + def __sub__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... # type: ignore[overload-overlap] + @overload + def __sub__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[timedelta64]: ... + @overload + def __sub__(self: NDArray[datetime64], other: _ArrayLikeTD64_co, /) -> NDArray[datetime64]: ... + @overload + def __sub__(self: NDArray[datetime64], other: _ArrayLikeDT64_co, /) -> NDArray[timedelta64]: ... + @overload + def __sub__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __sub__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rsub__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __rsub__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __rsub__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NoReturn: ... + @overload + def __rsub__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __rsub__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __rsub__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __rsub__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __rsub__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __rsub__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rsub__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rsub__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __rsub__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... # type: ignore[overload-overlap] + @overload + def __rsub__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... # type: ignore[overload-overlap] + @overload + def __rsub__(self: _ArrayTD64_co, other: _ArrayLikeTD64_co, /) -> NDArray[timedelta64]: ... + @overload + def __rsub__(self: _ArrayTD64_co, other: _ArrayLikeDT64_co, /) -> NDArray[datetime64]: ... + @overload + def __rsub__(self: NDArray[datetime64], other: _ArrayLikeDT64_co, /) -> NDArray[timedelta64]: ... + @overload + def __rsub__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rsub__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __mul__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __mul__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __mul__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[overload-overlap] + @overload + def __mul__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __mul__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __mul__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __mul__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __mul__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __mul__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __mul__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __mul__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __mul__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... # type: ignore[overload-overlap] + @overload + def __mul__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... + @overload + def __mul__(self: NDArray[timedelta64], other: _ArrayLikeFloat_co, /) -> NDArray[timedelta64]: ... + @overload + def __mul__(self: _ArrayFloat_co, other: _ArrayLike[timedelta64], /) -> NDArray[timedelta64]: ... + @overload + def __mul__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __mul__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload # signature equivalent to __mul__ + def __rmul__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __rmul__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __rmul__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[overload-overlap] + @overload + def __rmul__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __rmul__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __rmul__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __rmul__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __rmul__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __rmul__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rmul__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rmul__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __rmul__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... # type: ignore[overload-overlap] + @overload + def __rmul__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... + @overload + def __rmul__(self: NDArray[timedelta64], other: _ArrayLikeFloat_co, /) -> NDArray[timedelta64]: ... + @overload + def __rmul__(self: _ArrayFloat_co, other: _ArrayLike[timedelta64], /) -> NDArray[timedelta64]: ... + @overload + def __rmul__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rmul__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __truediv__(self: _ArrayInt_co | NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __truediv__(self: _ArrayFloat64_co, other: _ArrayLikeInt_co | _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __truediv__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __truediv__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __truediv__(self: NDArray[floating], other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... + @overload + def __truediv__(self: _ArrayFloat_co, other: _ArrayLike[floating], /) -> NDArray[floating]: ... + @overload + def __truediv__(self: NDArray[complexfloating], other: _ArrayLikeNumber_co, /) -> NDArray[complexfloating]: ... + @overload + def __truediv__(self: _ArrayNumber_co, other: _ArrayLike[complexfloating], /) -> NDArray[complexfloating]: ... + @overload + def __truediv__(self: NDArray[inexact], other: _ArrayLikeNumber_co, /) -> NDArray[inexact]: ... + @overload + def __truediv__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... + @overload + def __truediv__(self: NDArray[timedelta64], other: _ArrayLike[timedelta64], /) -> NDArray[float64]: ... + @overload + def __truediv__(self: NDArray[timedelta64], other: _ArrayLikeBool_co, /) -> NoReturn: ... + @overload + def __truediv__(self: NDArray[timedelta64], other: _ArrayLikeFloat_co, /) -> NDArray[timedelta64]: ... + @overload + def __truediv__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __truediv__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rtruediv__(self: _ArrayInt_co | NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __rtruediv__(self: _ArrayFloat64_co, other: _ArrayLikeInt_co | _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __rtruediv__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __rtruediv__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __rtruediv__(self: NDArray[floating], other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... + @overload + def __rtruediv__(self: _ArrayFloat_co, other: _ArrayLike[floating], /) -> NDArray[floating]: ... + @overload + def __rtruediv__(self: NDArray[complexfloating], other: _ArrayLikeNumber_co, /) -> NDArray[complexfloating]: ... + @overload + def __rtruediv__(self: _ArrayNumber_co, other: _ArrayLike[complexfloating], /) -> NDArray[complexfloating]: ... + @overload + def __rtruediv__(self: NDArray[inexact], other: _ArrayLikeNumber_co, /) -> NDArray[inexact]: ... + @overload + def __rtruediv__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... + @overload + def __rtruediv__(self: NDArray[timedelta64], other: _ArrayLike[timedelta64], /) -> NDArray[float64]: ... + @overload + def __rtruediv__(self: NDArray[integer | floating], other: _ArrayLike[timedelta64], /) -> NDArray[timedelta64]: ... + @overload + def __rtruediv__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rtruediv__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __floordiv__(self: NDArray[_RealNumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_RealNumberT]]: ... + @overload + def __floordiv__(self: NDArray[_RealNumberT], other: _ArrayLikeBool_co, /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __floordiv__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[overload-overlap] + @overload + def __floordiv__(self: NDArray[np.bool], other: _ArrayLike[_RealNumberT], /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __floordiv__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __floordiv__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __floordiv__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __floordiv__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __floordiv__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... + @overload + def __floordiv__(self: NDArray[timedelta64], other: _ArrayLike[timedelta64], /) -> NDArray[int64]: ... + @overload + def __floordiv__(self: NDArray[timedelta64], other: _ArrayLikeBool_co, /) -> NoReturn: ... + @overload + def __floordiv__(self: NDArray[timedelta64], other: _ArrayLikeFloat_co, /) -> NDArray[timedelta64]: ... + @overload + def __floordiv__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __floordiv__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rfloordiv__(self: NDArray[_RealNumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_RealNumberT]]: ... + @overload + def __rfloordiv__(self: NDArray[_RealNumberT], other: _ArrayLikeBool_co, /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __rfloordiv__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[overload-overlap] + @overload + def __rfloordiv__(self: NDArray[np.bool], other: _ArrayLike[_RealNumberT], /) -> NDArray[_RealNumberT]: ... # type: ignore[overload-overlap] + @overload + def __rfloordiv__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __rfloordiv__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __rfloordiv__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rfloordiv__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rfloordiv__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __rfloordiv__(self: NDArray[timedelta64], other: _ArrayLike[timedelta64], /) -> NDArray[int64]: ... + @overload + def __rfloordiv__(self: NDArray[floating | integer], other: _ArrayLike[timedelta64], /) -> NDArray[timedelta64]: ... + @overload + def __rfloordiv__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rfloordiv__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __pow__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __pow__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __pow__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[overload-overlap] + @overload + def __pow__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __pow__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __pow__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __pow__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __pow__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __pow__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __pow__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __pow__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __pow__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... + @overload + def __pow__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... + @overload + def __pow__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __pow__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rpow__(self: NDArray[_NumberT], other: int | np.bool, /) -> ndarray[_ShapeT_co, dtype[_NumberT]]: ... + @overload + def __rpow__(self: NDArray[_NumberT], other: _ArrayLikeBool_co, /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __rpow__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[overload-overlap] + @overload + def __rpow__(self: NDArray[np.bool], other: _ArrayLike[_NumberT], /) -> NDArray[_NumberT]: ... # type: ignore[overload-overlap] + @overload + def __rpow__(self: NDArray[float64], other: _ArrayLikeFloat64_co, /) -> NDArray[float64]: ... + @overload + def __rpow__(self: _ArrayFloat64_co, other: _ArrayLike[floating[_64Bit]], /) -> NDArray[float64]: ... + @overload + def __rpow__(self: NDArray[complex128], other: _ArrayLikeComplex128_co, /) -> NDArray[complex128]: ... + @overload + def __rpow__(self: _ArrayComplex128_co, other: _ArrayLike[complexfloating[_64Bit]], /) -> NDArray[complex128]: ... + @overload + def __rpow__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rpow__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger]: ... # type: ignore[overload-overlap] + @overload + def __rpow__(self: _ArrayFloat_co, other: _ArrayLikeFloat_co, /) -> NDArray[floating]: ... # type: ignore[overload-overlap] + @overload + def __rpow__(self: _ArrayComplex_co, other: _ArrayLikeComplex_co, /) -> NDArray[complexfloating]: ... + @overload + def __rpow__(self: NDArray[number], other: _ArrayLikeNumber_co, /) -> NDArray[number]: ... + @overload + def __rpow__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rpow__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __lshift__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[misc] + @overload + def __lshift__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __lshift__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __lshift__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __lshift__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rlshift__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[misc] + @overload + def __rlshift__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __rlshift__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __rlshift__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rlshift__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rshift__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[misc] + @overload + def __rshift__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __rshift__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __rshift__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rshift__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rrshift__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[int8]: ... # type: ignore[misc] + @overload + def __rrshift__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __rrshift__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __rrshift__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rrshift__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __and__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[misc] + @overload + def __and__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __and__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __and__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __and__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rand__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[misc] + @overload + def __rand__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __rand__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __rand__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rand__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __xor__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[misc] + @overload + def __xor__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __xor__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __xor__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __xor__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __rxor__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[misc] + @overload + def __rxor__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __rxor__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __rxor__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __rxor__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __or__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[misc] + @overload + def __or__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __or__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __or__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __or__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + @overload + def __ror__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> NDArray[np.bool]: ... # type: ignore[misc] + @overload + def __ror__(self: _ArrayUInt_co, other: _ArrayLikeUInt_co, /) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] + @overload + def __ror__(self: _ArrayInt_co, other: _ArrayLikeInt_co, /) -> NDArray[signedinteger[Any]]: ... + @overload + def __ror__(self: NDArray[object_], other: Any, /) -> Any: ... + @overload + def __ror__(self: NDArray[Any], other: _ArrayLikeObject_co, /) -> Any: ... + + # `np.generic` does not support inplace operations + + # NOTE: Inplace ops generally use "same_kind" casting w.r.t. to the left + # operand. An exception to this rule are unsigned integers though, which + # also accepts a signed integer for the right operand as long it is a 0D + # object and its value is >= 0 + # NOTE: Due to a mypy bug, overloading on e.g. `self: NDArray[SCT_floating]` won't + # work, as this will lead to `false negatives` when using these inplace ops. + @overload + def __iadd__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[float64], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[floating[Any]], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[complex128], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[complexfloating[Any]], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[timedelta64], other: _ArrayLikeTD64_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[datetime64], other: _ArrayLikeTD64_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iadd__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # + @overload + def __isub__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[float64], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[floating[Any]], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[complex128], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[complexfloating[Any]], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[timedelta64], other: _ArrayLikeTD64_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[datetime64], other: _ArrayLikeTD64_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __isub__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # + @overload + def __imul__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__(self: NDArray[float64], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__(self: NDArray[floating[Any]], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__(self: NDArray[complex128], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__(self: NDArray[complexfloating[Any]], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__(self: NDArray[timedelta64], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imul__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + @overload + def __ipow__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ipow__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ipow__(self: NDArray[float64], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ipow__(self: NDArray[floating[Any]], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ipow__(self: NDArray[complex128], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ipow__(self: NDArray[complexfloating[Any]], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ipow__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # + @overload + def __itruediv__(self: NDArray[floating], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + @overload + def __itruediv__(self: NDArray[complexfloating], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + @overload + def __itruediv__(self: NDArray[timedelta64], other: _ArrayLikeInt, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + @overload + def __itruediv__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + + # keep in sync with `__imod__` + @overload + def __ifloordiv__( + self: NDArray[unsignedinteger], + other: _ArrayLikeUInt_co | _IntLike_co, + / + ) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + @overload + def __ifloordiv__(self: NDArray[signedinteger], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + @overload + def __ifloordiv__(self: NDArray[floating], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + @overload + def __ifloordiv__(self: NDArray[timedelta64], other: _ArrayLikeInt, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + @overload + def __ifloordiv__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DTypeT_co]: ... + + # keep in sync with `__ifloordiv__` + @overload + def __imod__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imod__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imod__(self: NDArray[float64], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imod__(self: NDArray[floating[Any]], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imod__( + self: NDArray[timedelta64], + other: _SupportsArray[_dtype[timedelta64]] | _NestedSequence[_SupportsArray[_dtype[timedelta64]]], + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imod__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # keep in sync with `__irshift__` + @overload + def __ilshift__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ilshift__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ilshift__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # keep in sync with `__ilshift__` + @overload + def __irshift__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __irshift__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __irshift__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # keep in sync with `__ixor__` and `__ior__` + @overload + def __iand__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iand__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iand__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __iand__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # keep in sync with `__iand__` and `__ior__` + @overload + def __ixor__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ixor__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ixor__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ixor__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # keep in sync with `__iand__` and `__ixor__` + @overload + def __ior__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ior__( + self: NDArray[unsignedinteger[Any]], + other: _ArrayLikeUInt_co | _IntLike_co, + /, + ) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ior__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __ior__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # + @overload + def __imatmul__(self: NDArray[np.bool], other: _ArrayLikeBool_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imatmul__(self: NDArray[unsignedinteger[Any]], other: _ArrayLikeUInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imatmul__(self: NDArray[signedinteger[Any]], other: _ArrayLikeInt_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imatmul__(self: NDArray[float64], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imatmul__(self: NDArray[floating[Any]], other: _ArrayLikeFloat_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imatmul__(self: NDArray[complex128], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imatmul__(self: NDArray[complexfloating[Any]], other: _ArrayLikeComplex_co, /) -> ndarray[_ShapeT_co, _DType_co]: ... + @overload + def __imatmul__(self: NDArray[object_], other: Any, /) -> ndarray[_ShapeT_co, _DType_co]: ... + + # + def __dlpack__( + self: NDArray[number[Any]], + /, + *, + stream: int | Any | None = None, + max_version: tuple[int, int] | None = None, + dl_device: tuple[int, int] | None = None, + copy: builtins.bool | None = None, + ) -> CapsuleType: ... + def __dlpack_device__(self, /) -> tuple[L[1], L[0]]: ... + + # Keep `dtype` at the bottom to avoid name conflicts with `np.dtype` + @property + def dtype(self) -> _DType_co: ... + +# NOTE: while `np.generic` is not technically an instance of `ABCMeta`, +# the `@abstractmethod` decorator is herein used to (forcefully) deny +# the creation of `np.generic` instances. +# The `# type: ignore` comments are necessary to silence mypy errors regarding +# the missing `ABCMeta` metaclass. +# See https://github.com/numpy/numpy-stubs/pull/80 for more details. +class generic(_ArrayOrScalarCommon, Generic[_ItemT_co]): + @abstractmethod + def __init__(self, *args: Any, **kwargs: Any) -> None: ... + def __hash__(self) -> int: ... + @overload + def __array__(self, dtype: None = None, /) -> ndarray[tuple[()], dtype[Self]]: ... + @overload + def __array__(self, dtype: _DType, /) -> ndarray[tuple[()], _DType]: ... + if sys.version_info >= (3, 12): + def __buffer__(self, flags: int, /) -> memoryview: ... + + @property + def base(self) -> None: ... + @property + def ndim(self) -> L[0]: ... + @property + def size(self) -> L[1]: ... + @property + def shape(self) -> tuple[()]: ... + @property + def strides(self) -> tuple[()]: ... + @property + def flat(self) -> flatiter[ndarray[tuple[int], dtype[Self]]]: ... + + @overload + def item(self, /) -> _ItemT_co: ... + @overload + def item(self, arg0: L[0, -1] | tuple[L[0, -1]] | tuple[()] = ..., /) -> _ItemT_co: ... + def tolist(self, /) -> _ItemT_co: ... + + def byteswap(self, inplace: L[False] = ...) -> Self: ... + + @overload + def astype( + self, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + casting: _CastingKind = ..., + subok: builtins.bool = ..., + copy: builtins.bool | _CopyMode = ..., + ) -> _SCT: ... + @overload + def astype( + self, + dtype: DTypeLike, + order: _OrderKACF = ..., + casting: _CastingKind = ..., + subok: builtins.bool = ..., + copy: builtins.bool | _CopyMode = ..., + ) -> Any: ... + + # NOTE: `view` will perform a 0D->scalar cast, + # thus the array `type` is irrelevant to the output type + @overload + def view(self, type: type[NDArray[Any]] = ...) -> Self: ... + @overload + def view( + self, + dtype: _DTypeLike[_SCT], + type: type[NDArray[Any]] = ..., + ) -> _SCT: ... + @overload + def view( + self, + dtype: DTypeLike, + type: type[NDArray[Any]] = ..., + ) -> Any: ... + + @overload + def getfield( + self, + dtype: _DTypeLike[_SCT], + offset: SupportsIndex = ... + ) -> _SCT: ... + @overload + def getfield( + self, + dtype: DTypeLike, + offset: SupportsIndex = ... + ) -> Any: ... + + @overload + def take( # type: ignore[misc] + self, + indices: _IntLike_co, + axis: None | SupportsIndex = ..., + out: None = ..., + mode: _ModeKind = ..., + ) -> Self: ... + @overload + def take( # type: ignore[misc] + self, + indices: _ArrayLikeInt_co, + axis: None | SupportsIndex = ..., + out: None = ..., + mode: _ModeKind = ..., + ) -> NDArray[Self]: ... + @overload + def take( + self, + indices: _ArrayLikeInt_co, + axis: None | SupportsIndex = ..., + out: _ArrayT = ..., + mode: _ModeKind = ..., + ) -> _ArrayT: ... + + def repeat(self, repeats: _ArrayLikeInt_co, axis: None | SupportsIndex = ...) -> NDArray[Self]: ... + def flatten(self, /, order: _OrderKACF = "C") -> ndarray[tuple[int], dtype[Self]]: ... + def ravel(self, /, order: _OrderKACF = "C") -> ndarray[tuple[int], dtype[Self]]: ... + + @overload # (() | []) + def reshape( + self, + shape: tuple[()] | list[Never], + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> Self: ... + @overload # ((1, *(1, ...))@_ShapeType) + def reshape( + self, + shape: _1NShapeT, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[_1NShapeT, dtype[Self]]: ... + @overload # (Sequence[index, ...]) # not recommended + def reshape( + self, + shape: Sequence[SupportsIndex], + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> Self | ndarray[tuple[L[1], ...], dtype[Self]]: ... + @overload # _(index) + def reshape( + self, + size1: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[L[1]], dtype[Self]]: ... + @overload # _(index, index) + def reshape( + self, + size1: SupportsIndex, + size2: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[L[1], L[1]], dtype[Self]]: ... + @overload # _(index, index, index) + def reshape( + self, + size1: SupportsIndex, + size2: SupportsIndex, + size3: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[L[1], L[1], L[1]], dtype[Self]]: ... + @overload # _(index, index, index, index) + def reshape( + self, + size1: SupportsIndex, + size2: SupportsIndex, + size3: SupportsIndex, + size4: SupportsIndex, + /, + *, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[L[1], L[1], L[1], L[1]], dtype[Self]]: ... + @overload # _(index, index, index, index, index, *index) # ndim >= 5 + def reshape( + self, + size1: SupportsIndex, + size2: SupportsIndex, + size3: SupportsIndex, + size4: SupportsIndex, + size5: SupportsIndex, + /, + *sizes6_: SupportsIndex, + order: _OrderACF = "C", + copy: builtins.bool | None = None, + ) -> ndarray[tuple[L[1], L[1], L[1], L[1], L[1], Unpack[tuple[L[1], ...]]], dtype[Self]]: ... + + def squeeze(self, axis: None | L[0] | tuple[()] = ...) -> Self: ... + def transpose(self, axes: None | tuple[()] = ..., /) -> Self: ... + + @overload + def all( + self, + /, + axis: L[0, -1] | tuple[()] | None = None, + out: None = None, + keepdims: SupportsIndex = False, + *, + where: builtins.bool | np.bool | ndarray[tuple[()], dtype[np.bool]] = True + ) -> np.bool: ... + @overload + def all( + self, + /, + axis: L[0, -1] | tuple[()] | None, + out: ndarray[tuple[()], dtype[_SCT]], + keepdims: SupportsIndex = False, + *, + where: builtins.bool | np.bool | ndarray[tuple[()], dtype[np.bool]] = True, + ) -> _SCT: ... + @overload + def all( + self, + /, + axis: L[0, -1] | tuple[()] | None = None, + *, + out: ndarray[tuple[()], dtype[_SCT]], + keepdims: SupportsIndex = False, + where: builtins.bool | np.bool | ndarray[tuple[()], dtype[np.bool]] = True, + ) -> _SCT: ... + + @overload + def any( + self, + /, + axis: L[0, -1] | tuple[()] | None = None, + out: None = None, + keepdims: SupportsIndex = False, + *, + where: builtins.bool | np.bool | ndarray[tuple[()], dtype[np.bool]] = True + ) -> np.bool: ... + @overload + def any( + self, + /, + axis: L[0, -1] | tuple[()] | None, + out: ndarray[tuple[()], dtype[_SCT]], + keepdims: SupportsIndex = False, + *, + where: builtins.bool | np.bool | ndarray[tuple[()], dtype[np.bool]] = True, + ) -> _SCT: ... + @overload + def any( + self, + /, + axis: L[0, -1] | tuple[()] | None = None, + *, + out: ndarray[tuple[()], dtype[_SCT]], + keepdims: SupportsIndex = False, + where: builtins.bool | np.bool | ndarray[tuple[()], dtype[np.bool]] = True, + ) -> _SCT: ... + + # Keep `dtype` at the bottom to avoid name conflicts with `np.dtype` + @property + def dtype(self) -> _dtype[Self]: ... + +class number(generic[_NumberItemT_co], Generic[_NBit, _NumberItemT_co]): + @abstractmethod + def __init__(self, value: _NumberItemT_co, /) -> None: ... + def __class_getitem__(cls, item: Any, /) -> GenericAlias: ... + + def __neg__(self) -> Self: ... + def __pos__(self) -> Self: ... + def __abs__(self) -> Self: ... + + __add__: _NumberOp + __radd__: _NumberOp + __sub__: _NumberOp + __rsub__: _NumberOp + __mul__: _NumberOp + __rmul__: _NumberOp + __floordiv__: _NumberOp + __rfloordiv__: _NumberOp + __pow__: _NumberOp + __rpow__: _NumberOp + __truediv__: _NumberOp + __rtruediv__: _NumberOp + + __lt__: _ComparisonOpLT[_NumberLike_co, _ArrayLikeNumber_co] + __le__: _ComparisonOpLE[_NumberLike_co, _ArrayLikeNumber_co] + __gt__: _ComparisonOpGT[_NumberLike_co, _ArrayLikeNumber_co] + __ge__: _ComparisonOpGE[_NumberLike_co, _ArrayLikeNumber_co] + +class bool(generic[_BoolItemT_co], Generic[_BoolItemT_co]): + @property + def itemsize(self) -> L[1]: ... + @property + def nbytes(self) -> L[1]: ... + @property + def real(self) -> Self: ... + @property + def imag(self) -> np.bool[L[False]]: ... + + @overload + def __init__(self: np.bool[L[False]], /) -> None: ... + @overload + def __init__(self: np.bool[L[False]], value: _Falsy = ..., /) -> None: ... + @overload + def __init__(self: np.bool[L[True]], value: _Truthy, /) -> None: ... + @overload + def __init__(self, value: object, /) -> None: ... + + def __bool__(self, /) -> _BoolItemT_co: ... + @overload + def __int__(self: np.bool[L[False]], /) -> L[0]: ... + @overload + def __int__(self: np.bool[L[True]], /) -> L[1]: ... + @overload + def __int__(self, /) -> L[0, 1]: ... + @deprecated("In future, it will be an error for 'np.bool' scalars to be interpreted as an index") + def __index__(self, /) -> L[0, 1]: ... + def __abs__(self) -> Self: ... + + @overload + def __invert__(self: np.bool[L[False]], /) -> np.bool[L[True]]: ... + @overload + def __invert__(self: np.bool[L[True]], /) -> np.bool[L[False]]: ... + @overload + def __invert__(self, /) -> np.bool: ... + + __add__: _BoolOp[np.bool] + __radd__: _BoolOp[np.bool] + __sub__: _BoolSub + __rsub__: _BoolSub + __mul__: _BoolOp[np.bool] + __rmul__: _BoolOp[np.bool] + __truediv__: _BoolTrueDiv + __rtruediv__: _BoolTrueDiv + __floordiv__: _BoolOp[int8] + __rfloordiv__: _BoolOp[int8] + __pow__: _BoolOp[int8] + __rpow__: _BoolOp[int8] + + __lshift__: _BoolBitOp[int8] + __rlshift__: _BoolBitOp[int8] + __rshift__: _BoolBitOp[int8] + __rrshift__: _BoolBitOp[int8] + + @overload + def __and__(self: np.bool[L[False]], other: builtins.bool | np.bool, /) -> np.bool[L[False]]: ... + @overload + def __and__(self, other: L[False] | np.bool[L[False]], /) -> np.bool[L[False]]: ... + @overload + def __and__(self, other: L[True] | np.bool[L[True]], /) -> Self: ... + @overload + def __and__(self, other: builtins.bool | np.bool, /) -> np.bool: ... + @overload + def __and__(self, other: _IntegerT, /) -> _IntegerT: ... + @overload + def __and__(self, other: int, /) -> np.bool | intp: ... + __rand__ = __and__ + + @overload + def __xor__(self: np.bool[L[False]], other: _BoolItemT | np.bool[_BoolItemT], /) -> np.bool[_BoolItemT]: ... + @overload + def __xor__(self: np.bool[L[True]], other: L[True] | np.bool[L[True]], /) -> np.bool[L[False]]: ... + @overload + def __xor__(self, other: L[False] | np.bool[L[False]], /) -> Self: ... + @overload + def __xor__(self, other: builtins.bool | np.bool, /) -> np.bool: ... + @overload + def __xor__(self, other: _IntegerT, /) -> _IntegerT: ... + @overload + def __xor__(self, other: int, /) -> np.bool | intp: ... + __rxor__ = __xor__ + + @overload + def __or__(self: np.bool[L[True]], other: builtins.bool | np.bool, /) -> np.bool[L[True]]: ... + @overload + def __or__(self, other: L[False] | np.bool[L[False]], /) -> Self: ... + @overload + def __or__(self, other: L[True] | np.bool[L[True]], /) -> np.bool[L[True]]: ... + @overload + def __or__(self, other: builtins.bool | np.bool, /) -> np.bool: ... + @overload + def __or__(self, other: _IntegerT, /) -> _IntegerT: ... + @overload + def __or__(self, other: int, /) -> np.bool | intp: ... + __ror__ = __or__ + + __mod__: _BoolMod + __rmod__: _BoolMod + __divmod__: _BoolDivMod + __rdivmod__: _BoolDivMod + + __lt__: _ComparisonOpLT[_NumberLike_co, _ArrayLikeNumber_co] + __le__: _ComparisonOpLE[_NumberLike_co, _ArrayLikeNumber_co] + __gt__: _ComparisonOpGT[_NumberLike_co, _ArrayLikeNumber_co] + __ge__: _ComparisonOpGE[_NumberLike_co, _ArrayLikeNumber_co] + +# NOTE: This should _not_ be `Final` or a `TypeAlias` +bool_ = bool + +# NOTE: The `object_` constructor returns the passed object, so instances with type +# `object_` cannot exists (at runtime). +# NOTE: Because mypy has some long-standing bugs related to `__new__`, `object_` can't +# be made generic. +@final +class object_(_RealMixin, generic[Any]): + @overload + def __new__(cls, nothing_to_see_here: None = None, /) -> None: ... # type: ignore[misc] + @overload + def __new__(cls, stringy: _AnyStr, /) -> _AnyStr: ... # type: ignore[misc] + @overload + def __new__(cls, array: ndarray[_ShapeT, Any], /) -> ndarray[_ShapeT, dtype[Self]]: ... # type: ignore[misc] + @overload + def __new__(cls, sequence: SupportsLenAndGetItem[object], /) -> NDArray[Self]: ... # type: ignore[misc] + @overload + def __new__(cls, value: _T, /) -> _T: ... # type: ignore[misc] + @overload # catch-all + def __new__(cls, value: Any = ..., /) -> object | NDArray[Self]: ... # type: ignore[misc] + def __init__(self, value: object = ..., /) -> None: ... + def __hash__(self, /) -> int: ... + def __abs__(self, /) -> object_: ... # this affects NDArray[object_].__abs__ + def __call__(self, /, *args: object, **kwargs: object) -> Any: ... + + if sys.version_info >= (3, 12): + def __release_buffer__(self, buffer: memoryview, /) -> None: ... + +class integer(_IntegralMixin, _RoundMixin, number[_NBit, int]): + @abstractmethod + def __init__(self, value: _ConvertibleToInt = ..., /) -> None: ... + + # NOTE: `bit_count` and `__index__` are technically defined in the concrete subtypes + def bit_count(self, /) -> int: ... + def __index__(self, /) -> int: ... + def __invert__(self, /) -> Self: ... + + __truediv__: _IntTrueDiv[_NBit] + __rtruediv__: _IntTrueDiv[_NBit] + def __mod__(self, value: _IntLike_co, /) -> integer[Any]: ... + def __rmod__(self, value: _IntLike_co, /) -> integer[Any]: ... + # Ensure that objects annotated as `integer` support bit-wise operations + def __lshift__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __rlshift__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __rshift__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __rrshift__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __and__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __rand__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __or__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __ror__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __xor__(self, other: _IntLike_co, /) -> integer[Any]: ... + def __rxor__(self, other: _IntLike_co, /) -> integer[Any]: ... + +class signedinteger(integer[_NBit1]): + def __init__(self, value: _ConvertibleToInt = ..., /) -> None: ... + + __add__: _SignedIntOp[_NBit1] + __radd__: _SignedIntOp[_NBit1] + __sub__: _SignedIntOp[_NBit1] + __rsub__: _SignedIntOp[_NBit1] + __mul__: _SignedIntOp[_NBit1] + __rmul__: _SignedIntOp[_NBit1] + __floordiv__: _SignedIntOp[_NBit1] + __rfloordiv__: _SignedIntOp[_NBit1] + __pow__: _SignedIntOp[_NBit1] + __rpow__: _SignedIntOp[_NBit1] + __lshift__: _SignedIntBitOp[_NBit1] + __rlshift__: _SignedIntBitOp[_NBit1] + __rshift__: _SignedIntBitOp[_NBit1] + __rrshift__: _SignedIntBitOp[_NBit1] + __and__: _SignedIntBitOp[_NBit1] + __rand__: _SignedIntBitOp[_NBit1] + __xor__: _SignedIntBitOp[_NBit1] + __rxor__: _SignedIntBitOp[_NBit1] + __or__: _SignedIntBitOp[_NBit1] + __ror__: _SignedIntBitOp[_NBit1] + __mod__: _SignedIntMod[_NBit1] + __rmod__: _SignedIntMod[_NBit1] + __divmod__: _SignedIntDivMod[_NBit1] + __rdivmod__: _SignedIntDivMod[_NBit1] + +int8 = signedinteger[_8Bit] +int16 = signedinteger[_16Bit] +int32 = signedinteger[_32Bit] +int64 = signedinteger[_64Bit] + +byte = signedinteger[_NBitByte] +short = signedinteger[_NBitShort] +intc = signedinteger[_NBitIntC] +intp = signedinteger[_NBitIntP] +int_ = intp +long = signedinteger[_NBitLong] +longlong = signedinteger[_NBitLongLong] + +class unsignedinteger(integer[_NBit1]): + # NOTE: `uint64 + signedinteger -> float64` + def __init__(self, value: _ConvertibleToInt = ..., /) -> None: ... + + __add__: _UnsignedIntOp[_NBit1] + __radd__: _UnsignedIntOp[_NBit1] + __sub__: _UnsignedIntOp[_NBit1] + __rsub__: _UnsignedIntOp[_NBit1] + __mul__: _UnsignedIntOp[_NBit1] + __rmul__: _UnsignedIntOp[_NBit1] + __floordiv__: _UnsignedIntOp[_NBit1] + __rfloordiv__: _UnsignedIntOp[_NBit1] + __pow__: _UnsignedIntOp[_NBit1] + __rpow__: _UnsignedIntOp[_NBit1] + __lshift__: _UnsignedIntBitOp[_NBit1] + __rlshift__: _UnsignedIntBitOp[_NBit1] + __rshift__: _UnsignedIntBitOp[_NBit1] + __rrshift__: _UnsignedIntBitOp[_NBit1] + __and__: _UnsignedIntBitOp[_NBit1] + __rand__: _UnsignedIntBitOp[_NBit1] + __xor__: _UnsignedIntBitOp[_NBit1] + __rxor__: _UnsignedIntBitOp[_NBit1] + __or__: _UnsignedIntBitOp[_NBit1] + __ror__: _UnsignedIntBitOp[_NBit1] + __mod__: _UnsignedIntMod[_NBit1] + __rmod__: _UnsignedIntMod[_NBit1] + __divmod__: _UnsignedIntDivMod[_NBit1] + __rdivmod__: _UnsignedIntDivMod[_NBit1] + +uint8: TypeAlias = unsignedinteger[_8Bit] +uint16: TypeAlias = unsignedinteger[_16Bit] +uint32: TypeAlias = unsignedinteger[_32Bit] +uint64: TypeAlias = unsignedinteger[_64Bit] + +ubyte: TypeAlias = unsignedinteger[_NBitByte] +ushort: TypeAlias = unsignedinteger[_NBitShort] +uintc: TypeAlias = unsignedinteger[_NBitIntC] +uintp: TypeAlias = unsignedinteger[_NBitIntP] +uint: TypeAlias = uintp +ulong: TypeAlias = unsignedinteger[_NBitLong] +ulonglong: TypeAlias = unsignedinteger[_NBitLongLong] + +class inexact(number[_NBit, _InexactItemT_co], Generic[_NBit, _InexactItemT_co]): + @abstractmethod + def __init__(self, value: _InexactItemT_co | None = ..., /) -> None: ... + +class floating(_RealMixin, _RoundMixin, inexact[_NBit1, float]): + def __init__(self, value: _ConvertibleToFloat | None = ..., /) -> None: ... + + __add__: _FloatOp[_NBit1] + __radd__: _FloatOp[_NBit1] + __sub__: _FloatOp[_NBit1] + __rsub__: _FloatOp[_NBit1] + __mul__: _FloatOp[_NBit1] + __rmul__: _FloatOp[_NBit1] + __truediv__: _FloatOp[_NBit1] + __rtruediv__: _FloatOp[_NBit1] + __floordiv__: _FloatOp[_NBit1] + __rfloordiv__: _FloatOp[_NBit1] + __pow__: _FloatOp[_NBit1] + __rpow__: _FloatOp[_NBit1] + __mod__: _FloatMod[_NBit1] + __rmod__: _FloatMod[_NBit1] + __divmod__: _FloatDivMod[_NBit1] + __rdivmod__: _FloatDivMod[_NBit1] + + # NOTE: `is_integer` and `as_integer_ratio` are technically defined in the concrete subtypes + def is_integer(self, /) -> builtins.bool: ... + def as_integer_ratio(self, /) -> tuple[int, int]: ... + +float16: TypeAlias = floating[_16Bit] +float32: TypeAlias = floating[_32Bit] + +# either a C `double`, `float`, or `longdouble` +class float64(floating[_64Bit], float): # type: ignore[misc] + def __new__(cls, x: _ConvertibleToFloat | None = ..., /) -> Self: ... + + # + @property + def itemsize(self) -> L[8]: ... + @property + def nbytes(self) -> L[8]: ... + + # overrides for `floating` and `builtins.float` compatibility (`_RealMixin` doesn't work) + @property + def real(self) -> Self: ... + @property + def imag(self) -> Self: ... + def conjugate(self) -> Self: ... + def __getformat__(self, typestr: L["double", "float"], /) -> str: ... + def __getnewargs__(self, /) -> tuple[float]: ... + + # float64-specific operator overrides + @overload + def __add__(self, other: _Float64_co, /) -> float64: ... + @overload + def __add__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __add__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __add__(self, other: complex, /) -> float64 | complex128: ... + @overload + def __radd__(self, other: _Float64_co, /) -> float64: ... + @overload + def __radd__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __radd__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __radd__(self, other: complex, /) -> float64 | complex128: ... + + @overload + def __sub__(self, other: _Float64_co, /) -> float64: ... + @overload + def __sub__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __sub__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __sub__(self, other: complex, /) -> float64 | complex128: ... + @overload + def __rsub__(self, other: _Float64_co, /) -> float64: ... + @overload + def __rsub__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __rsub__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __rsub__(self, other: complex, /) -> float64 | complex128: ... + + @overload + def __mul__(self, other: _Float64_co, /) -> float64: ... + @overload + def __mul__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __mul__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __mul__(self, other: complex, /) -> float64 | complex128: ... + @overload + def __rmul__(self, other: _Float64_co, /) -> float64: ... + @overload + def __rmul__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __rmul__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __rmul__(self, other: complex, /) -> float64 | complex128: ... + + @overload + def __truediv__(self, other: _Float64_co, /) -> float64: ... + @overload + def __truediv__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __truediv__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __truediv__(self, other: complex, /) -> float64 | complex128: ... + @overload + def __rtruediv__(self, other: _Float64_co, /) -> float64: ... + @overload + def __rtruediv__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __rtruediv__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __rtruediv__(self, other: complex, /) -> float64 | complex128: ... + + @overload + def __floordiv__(self, other: _Float64_co, /) -> float64: ... + @overload + def __floordiv__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __floordiv__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __floordiv__(self, other: complex, /) -> float64 | complex128: ... + @overload + def __rfloordiv__(self, other: _Float64_co, /) -> float64: ... + @overload + def __rfloordiv__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __rfloordiv__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __rfloordiv__(self, other: complex, /) -> float64 | complex128: ... + + @overload + def __pow__(self, other: _Float64_co, /) -> float64: ... + @overload + def __pow__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __pow__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __pow__(self, other: complex, /) -> float64 | complex128: ... + @overload + def __rpow__(self, other: _Float64_co, /) -> float64: ... + @overload + def __rpow__(self, other: complexfloating[_64Bit, _64Bit], /) -> complex128: ... + @overload + def __rpow__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + @overload + def __rpow__(self, other: complex, /) -> float64 | complex128: ... + + def __mod__(self, other: _Float64_co, /) -> float64: ... # type: ignore[override] + def __rmod__(self, other: _Float64_co, /) -> float64: ... # type: ignore[override] + + def __divmod__(self, other: _Float64_co, /) -> _2Tuple[float64]: ... # type: ignore[override] + def __rdivmod__(self, other: _Float64_co, /) -> _2Tuple[float64]: ... # type: ignore[override] + + +half: TypeAlias = floating[_NBitHalf] +single: TypeAlias = floating[_NBitSingle] +double: TypeAlias = floating[_NBitDouble] +longdouble: TypeAlias = floating[_NBitLongDouble] + +# The main reason for `complexfloating` having two typevars is cosmetic. +# It is used to clarify why `complex128`s precision is `_64Bit`, the latter +# describing the two 64 bit floats representing its real and imaginary component + +class complexfloating(inexact[_NBit1, complex], Generic[_NBit1, _NBit2]): + @overload + def __init__( + self, + real: complex | SupportsComplex | SupportsFloat | SupportsIndex = ..., + imag: complex | SupportsFloat | SupportsIndex = ..., + /, + ) -> None: ... + @overload + def __init__(self, real: _ConvertibleToComplex | None = ..., /) -> None: ... + + @property + def real(self) -> floating[_NBit1]: ... # type: ignore[override] + @property + def imag(self) -> floating[_NBit2]: ... # type: ignore[override] + + # NOTE: `__complex__` is technically defined in the concrete subtypes + def __complex__(self, /) -> complex: ... + def __abs__(self, /) -> floating[_NBit1 | _NBit2]: ... # type: ignore[override] + @deprecated( + "The Python built-in `round` is deprecated for complex scalars, and will raise a `TypeError` in a future release. " + "Use `np.round` or `scalar.round` instead." + ) + def __round__(self, /, ndigits: SupportsIndex | None = None) -> Self: ... + + @overload + def __add__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __add__(self, other: complex | float64 | complex128, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __add__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + @overload + def __radd__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __radd__(self, other: complex, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __radd__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + + @overload + def __sub__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __sub__(self, other: complex | float64 | complex128, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __sub__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + @overload + def __rsub__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __rsub__(self, other: complex, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __rsub__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + + @overload + def __mul__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __mul__(self, other: complex | float64 | complex128, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __mul__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + @overload + def __rmul__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __rmul__(self, other: complex, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __rmul__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + + @overload + def __truediv__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __truediv__(self, other: complex | float64 | complex128, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __truediv__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + @overload + def __rtruediv__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __rtruediv__(self, other: complex, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __rtruediv__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + + @overload + def __pow__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __pow__(self, other: complex | float64 | complex128, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __pow__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + @overload + def __rpow__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ... + @overload + def __rpow__(self, other: complex, /) -> complexfloating[_NBit1, _NBit2] | complex128: ... + @overload + def __rpow__(self, other: number[_NBit], /) -> complexfloating[_NBit1, _NBit2] | complexfloating[_NBit, _NBit]: ... + +complex64: TypeAlias = complexfloating[_32Bit, _32Bit] + +class complex128(complexfloating[_64Bit, _64Bit], complex): # type: ignore[misc] + @overload + def __new__( + cls, + real: complex | SupportsComplex | SupportsFloat | SupportsIndex = ..., + imag: complex | SupportsFloat | SupportsIndex = ..., + /, + ) -> Self: ... + @overload + def __new__(cls, real: _ConvertibleToComplex | None = ..., /) -> Self: ... + + # + @property + def itemsize(self) -> L[16]: ... + @property + def nbytes(self) -> L[16]: ... + + # overrides for `floating` and `builtins.float` compatibility + @property + def real(self) -> float64: ... + @property + def imag(self) -> float64: ... + def conjugate(self) -> Self: ... + def __abs__(self) -> float64: ... # type: ignore[override] + def __getnewargs__(self, /) -> tuple[float, float]: ... + + # complex128-specific operator overrides + @overload + def __add__(self, other: _Complex128_co, /) -> complex128: ... + @overload + def __add__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + def __radd__(self, other: _Complex128_co, /) -> complex128: ... + + @overload + def __sub__(self, other: _Complex128_co, /) -> complex128: ... + @overload + def __sub__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + def __rsub__(self, other: _Complex128_co, /) -> complex128: ... + + @overload + def __mul__(self, other: _Complex128_co, /) -> complex128: ... + @overload + def __mul__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + def __rmul__(self, other: _Complex128_co, /) -> complex128: ... + + @overload + def __truediv__(self, other: _Complex128_co, /) -> complex128: ... + @overload + def __truediv__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + def __rtruediv__(self, other: _Complex128_co, /) -> complex128: ... + + @overload + def __pow__(self, other: _Complex128_co, /) -> complex128: ... + @overload + def __pow__(self, other: complexfloating[_NBit1, _NBit2], /) -> complexfloating[_NBit1 | _64Bit, _NBit2 | _64Bit]: ... + def __rpow__(self, other: _Complex128_co, /) -> complex128: ... + +csingle: TypeAlias = complexfloating[_NBitSingle, _NBitSingle] +cdouble: TypeAlias = complexfloating[_NBitDouble, _NBitDouble] +clongdouble: TypeAlias = complexfloating[_NBitLongDouble, _NBitLongDouble] + +class timedelta64(_IntegralMixin, generic[_TD64ItemT_co], Generic[_TD64ItemT_co]): + @property + def itemsize(self) -> L[8]: ... + @property + def nbytes(self) -> L[8]: ... + + @overload + def __init__(self, value: _TD64ItemT_co | timedelta64[_TD64ItemT_co], /) -> None: ... + @overload + def __init__(self: timedelta64[L[0]], /) -> None: ... + @overload + def __init__(self: timedelta64[None], value: _NaTValue | None, format: _TimeUnitSpec, /) -> None: ... + @overload + def __init__(self: timedelta64[L[0]], value: L[0], format: _TimeUnitSpec[_IntTD64Unit] = ..., /) -> None: ... + @overload + def __init__(self: timedelta64[int], value: _IntLike_co, format: _TimeUnitSpec[_IntTD64Unit] = ..., /) -> None: ... + @overload + def __init__(self: timedelta64[int], value: dt.timedelta, format: _TimeUnitSpec[_IntTimeUnit], /) -> None: ... + @overload + def __init__( + self: timedelta64[dt.timedelta], + value: dt.timedelta | _IntLike_co, + format: _TimeUnitSpec[_NativeTD64Unit] = ..., + /, + ) -> None: ... + @overload + def __init__(self, value: _ConvertibleToTD64, format: _TimeUnitSpec = ..., /) -> None: ... + + # inherited at runtime from `signedinteger` + def __class_getitem__(cls, type_arg: type | object, /) -> GenericAlias: ... + + # NOTE: Only a limited number of units support conversion + # to builtin scalar types: `Y`, `M`, `ns`, `ps`, `fs`, `as` + def __int__(self: timedelta64[int], /) -> int: ... + def __float__(self: timedelta64[int], /) -> float: ... + + def __neg__(self, /) -> Self: ... + def __pos__(self, /) -> Self: ... + def __abs__(self, /) -> Self: ... + + @overload + def __add__(self: timedelta64[None], x: _TD64Like_co, /) -> timedelta64[None]: ... + @overload + def __add__(self: timedelta64[int], x: timedelta64[int | dt.timedelta], /) -> timedelta64[int]: ... + @overload + def __add__(self: timedelta64[int], x: timedelta64, /) -> timedelta64[int | None]: ... + @overload + def __add__(self: timedelta64[dt.timedelta], x: _AnyDateOrTime, /) -> _AnyDateOrTime: ... + @overload + def __add__(self: timedelta64[_AnyTD64Item], x: timedelta64[_AnyTD64Item] | _IntLike_co, /) -> timedelta64[_AnyTD64Item]: ... + @overload + def __add__(self, x: timedelta64[None], /) -> timedelta64[None]: ... + __radd__ = __add__ + + @overload + def __mul__(self: timedelta64[_AnyTD64Item], x: int | np.integer[Any] | np.bool, /) -> timedelta64[_AnyTD64Item]: ... + @overload + def __mul__(self: timedelta64[_AnyTD64Item], x: float | np.floating[Any], /) -> timedelta64[_AnyTD64Item | None]: ... + @overload + def __mul__(self, x: float | np.floating[Any] | np.integer[Any] | np.bool, /) -> timedelta64: ... + __rmul__ = __mul__ + + @overload + def __mod__(self, x: timedelta64[None | L[0]], /) -> timedelta64[None]: ... + @overload + def __mod__(self: timedelta64[None], x: timedelta64, /) -> timedelta64[None]: ... + @overload + def __mod__(self: timedelta64[int], x: timedelta64[int | dt.timedelta], /) -> timedelta64[int | None]: ... + @overload + def __mod__(self: timedelta64[dt.timedelta], x: timedelta64[_AnyTD64Item], /) -> timedelta64[_AnyTD64Item | None]: ... + @overload + def __mod__(self: timedelta64[dt.timedelta], x: dt.timedelta, /) -> dt.timedelta: ... + @overload + def __mod__(self, x: timedelta64[int], /) -> timedelta64[int | None]: ... + @overload + def __mod__(self, x: timedelta64, /) -> timedelta64: ... + + # the L[0] makes __mod__ non-commutative, which the first two overloads reflect + @overload + def __rmod__(self, x: timedelta64[None], /) -> timedelta64[None]: ... + @overload + def __rmod__(self: timedelta64[None | L[0]], x: timedelta64, /) -> timedelta64[None]: ... + @overload + def __rmod__(self: timedelta64[int], x: timedelta64[int | dt.timedelta], /) -> timedelta64[int | None]: ... + @overload + def __rmod__(self: timedelta64[dt.timedelta], x: timedelta64[_AnyTD64Item], /) -> timedelta64[_AnyTD64Item | None]: ... + @overload + def __rmod__(self: timedelta64[dt.timedelta], x: dt.timedelta, /) -> dt.timedelta: ... + @overload + def __rmod__(self, x: timedelta64[int], /) -> timedelta64[int | None]: ... + @overload + def __rmod__(self, x: timedelta64, /) -> timedelta64: ... + + # keep in sync with __mod__ + @overload + def __divmod__(self, x: timedelta64[None | L[0]], /) -> tuple[int64, timedelta64[None]]: ... + @overload + def __divmod__(self: timedelta64[None], x: timedelta64, /) -> tuple[int64, timedelta64[None]]: ... + @overload + def __divmod__(self: timedelta64[int], x: timedelta64[int | dt.timedelta], /) -> tuple[int64, timedelta64[int | None]]: ... + @overload + def __divmod__(self: timedelta64[dt.timedelta], x: timedelta64[_AnyTD64Item], /) -> tuple[int64, timedelta64[_AnyTD64Item | None]]: ... + @overload + def __divmod__(self: timedelta64[dt.timedelta], x: dt.timedelta, /) -> tuple[int, dt.timedelta]: ... + @overload + def __divmod__(self, x: timedelta64[int], /) -> tuple[int64, timedelta64[int | None]]: ... + @overload + def __divmod__(self, x: timedelta64, /) -> tuple[int64, timedelta64]: ... + + # keep in sync with __rmod__ + @overload + def __rdivmod__(self, x: timedelta64[None], /) -> tuple[int64, timedelta64[None]]: ... + @overload + def __rdivmod__(self: timedelta64[None | L[0]], x: timedelta64, /) -> tuple[int64, timedelta64[None]]: ... + @overload + def __rdivmod__(self: timedelta64[int], x: timedelta64[int | dt.timedelta], /) -> tuple[int64, timedelta64[int | None]]: ... + @overload + def __rdivmod__(self: timedelta64[dt.timedelta], x: timedelta64[_AnyTD64Item], /) -> tuple[int64, timedelta64[_AnyTD64Item | None]]: ... + @overload + def __rdivmod__(self: timedelta64[dt.timedelta], x: dt.timedelta, /) -> tuple[int, dt.timedelta]: ... + @overload + def __rdivmod__(self, x: timedelta64[int], /) -> tuple[int64, timedelta64[int | None]]: ... + @overload + def __rdivmod__(self, x: timedelta64, /) -> tuple[int64, timedelta64]: ... + + @overload + def __sub__(self: timedelta64[None], b: _TD64Like_co, /) -> timedelta64[None]: ... + @overload + def __sub__(self: timedelta64[int], b: timedelta64[int | dt.timedelta], /) -> timedelta64[int]: ... + @overload + def __sub__(self: timedelta64[int], b: timedelta64, /) -> timedelta64[int | None]: ... + @overload + def __sub__(self: timedelta64[dt.timedelta], b: dt.timedelta, /) -> dt.timedelta: ... + @overload + def __sub__(self: timedelta64[_AnyTD64Item], b: timedelta64[_AnyTD64Item] | _IntLike_co, /) -> timedelta64[_AnyTD64Item]: ... + @overload + def __sub__(self, b: timedelta64[None], /) -> timedelta64[None]: ... + + @overload + def __rsub__(self: timedelta64[None], a: _TD64Like_co, /) -> timedelta64[None]: ... + @overload + def __rsub__(self: timedelta64[dt.timedelta], a: _AnyDateOrTime, /) -> _AnyDateOrTime: ... + @overload + def __rsub__(self: timedelta64[dt.timedelta], a: timedelta64[_AnyTD64Item], /) -> timedelta64[_AnyTD64Item]: ... + @overload + def __rsub__(self: timedelta64[_AnyTD64Item], a: timedelta64[_AnyTD64Item] | _IntLike_co, /) -> timedelta64[_AnyTD64Item]: ... + @overload + def __rsub__(self, a: timedelta64[None], /) -> timedelta64[None]: ... + @overload + def __rsub__(self, a: datetime64[None], /) -> datetime64[None]: ... + + @overload + def __truediv__(self: timedelta64[dt.timedelta], b: dt.timedelta, /) -> float: ... + @overload + def __truediv__(self, b: timedelta64, /) -> float64: ... + @overload + def __truediv__(self: timedelta64[_AnyTD64Item], b: int | integer, /) -> timedelta64[_AnyTD64Item]: ... + @overload + def __truediv__(self: timedelta64[_AnyTD64Item], b: float | floating, /) -> timedelta64[_AnyTD64Item | None]: ... + @overload + def __truediv__(self, b: float | floating | integer, /) -> timedelta64: ... + @overload + def __rtruediv__(self: timedelta64[dt.timedelta], a: dt.timedelta, /) -> float: ... + @overload + def __rtruediv__(self, a: timedelta64, /) -> float64: ... + + @overload + def __floordiv__(self: timedelta64[dt.timedelta], b: dt.timedelta, /) -> int: ... + @overload + def __floordiv__(self, b: timedelta64, /) -> int64: ... + @overload + def __floordiv__(self: timedelta64[_AnyTD64Item], b: int | integer, /) -> timedelta64[_AnyTD64Item]: ... + @overload + def __floordiv__(self: timedelta64[_AnyTD64Item], b: float | floating, /) -> timedelta64[_AnyTD64Item | None]: ... + @overload + def __rfloordiv__(self: timedelta64[dt.timedelta], a: dt.timedelta, /) -> int: ... + @overload + def __rfloordiv__(self, a: timedelta64, /) -> int64: ... + + __lt__: _ComparisonOpLT[_TD64Like_co, _ArrayLikeTD64_co] + __le__: _ComparisonOpLE[_TD64Like_co, _ArrayLikeTD64_co] + __gt__: _ComparisonOpGT[_TD64Like_co, _ArrayLikeTD64_co] + __ge__: _ComparisonOpGE[_TD64Like_co, _ArrayLikeTD64_co] + +class datetime64(_RealMixin, generic[_DT64ItemT_co], Generic[_DT64ItemT_co]): + @property + def itemsize(self) -> L[8]: ... + @property + def nbytes(self) -> L[8]: ... + + @overload + def __init__(self, value: datetime64[_DT64ItemT_co], /) -> None: ... + @overload + def __init__(self: datetime64[_AnyDT64Arg], value: _AnyDT64Arg, /) -> None: ... + @overload + def __init__(self: datetime64[None], value: _NaTValue | None = ..., format: _TimeUnitSpec = ..., /) -> None: ... + @overload + def __init__(self: datetime64[dt.datetime], value: _DT64Now, format: _TimeUnitSpec[_NativeTimeUnit] = ..., /) -> None: ... + @overload + def __init__(self: datetime64[dt.date], value: _DT64Date, format: _TimeUnitSpec[_DateUnit] = ..., /) -> None: ... + @overload + def __init__(self: datetime64[int], value: int | bytes | str | dt.date, format: _TimeUnitSpec[_IntTimeUnit], /) -> None: ... + @overload + def __init__( + self: datetime64[dt.datetime], value: int | bytes | str | dt.date, format: _TimeUnitSpec[_NativeTimeUnit], / + ) -> None: ... + @overload + def __init__(self: datetime64[dt.date], value: int | bytes | str | dt.date, format: _TimeUnitSpec[_DateUnit], /) -> None: ... + @overload + def __init__(self, value: bytes | str | dt.date | None, format: _TimeUnitSpec = ..., /) -> None: ... + + @overload + def __add__(self: datetime64[_AnyDT64Item], x: int | integer[Any] | np.bool, /) -> datetime64[_AnyDT64Item]: ... + @overload + def __add__(self: datetime64[None], x: _TD64Like_co, /) -> datetime64[None]: ... + @overload + def __add__(self: datetime64[int], x: timedelta64[int | dt.timedelta], /) -> datetime64[int]: ... + @overload + def __add__(self: datetime64[dt.datetime], x: timedelta64[dt.timedelta], /) -> datetime64[dt.datetime]: ... + @overload + def __add__(self: datetime64[dt.date], x: timedelta64[dt.timedelta], /) -> datetime64[dt.date]: ... + @overload + def __add__(self: datetime64[dt.date], x: timedelta64[int], /) -> datetime64[int]: ... + @overload + def __add__(self, x: datetime64[None], /) -> datetime64[None]: ... + @overload + def __add__(self, x: _TD64Like_co, /) -> datetime64: ... + __radd__ = __add__ + + @overload + def __sub__(self: datetime64[_AnyDT64Item], x: int | integer[Any] | np.bool, /) -> datetime64[_AnyDT64Item]: ... + @overload + def __sub__(self: datetime64[_AnyDate], x: _AnyDate, /) -> dt.timedelta: ... + @overload + def __sub__(self: datetime64[None], x: timedelta64, /) -> datetime64[None]: ... + @overload + def __sub__(self: datetime64[None], x: datetime64, /) -> timedelta64[None]: ... + @overload + def __sub__(self: datetime64[int], x: timedelta64, /) -> datetime64[int]: ... + @overload + def __sub__(self: datetime64[int], x: datetime64, /) -> timedelta64[int]: ... + @overload + def __sub__(self: datetime64[dt.datetime], x: timedelta64[int], /) -> datetime64[int]: ... + @overload + def __sub__(self: datetime64[dt.datetime], x: timedelta64[dt.timedelta], /) -> datetime64[dt.datetime]: ... + @overload + def __sub__(self: datetime64[dt.datetime], x: datetime64[int], /) -> timedelta64[int]: ... + @overload + def __sub__(self: datetime64[dt.date], x: timedelta64[int], /) -> datetime64[dt.date | int]: ... + @overload + def __sub__(self: datetime64[dt.date], x: timedelta64[dt.timedelta], /) -> datetime64[dt.date]: ... + @overload + def __sub__(self: datetime64[dt.date], x: datetime64[dt.date], /) -> timedelta64[dt.timedelta]: ... + @overload + def __sub__(self, x: timedelta64[None], /) -> datetime64[None]: ... + @overload + def __sub__(self, x: datetime64[None], /) -> timedelta64[None]: ... + @overload + def __sub__(self, x: _TD64Like_co, /) -> datetime64: ... + @overload + def __sub__(self, x: datetime64, /) -> timedelta64: ... + + @overload + def __rsub__(self: datetime64[_AnyDT64Item], x: int | integer[Any] | np.bool, /) -> datetime64[_AnyDT64Item]: ... + @overload + def __rsub__(self: datetime64[_AnyDate], x: _AnyDate, /) -> dt.timedelta: ... + @overload + def __rsub__(self: datetime64[None], x: datetime64, /) -> timedelta64[None]: ... + @overload + def __rsub__(self: datetime64[int], x: datetime64, /) -> timedelta64[int]: ... + @overload + def __rsub__(self: datetime64[dt.datetime], x: datetime64[int], /) -> timedelta64[int]: ... + @overload + def __rsub__(self: datetime64[dt.datetime], x: datetime64[dt.date], /) -> timedelta64[dt.timedelta]: ... + @overload + def __rsub__(self, x: datetime64[None], /) -> timedelta64[None]: ... + @overload + def __rsub__(self, x: datetime64, /) -> timedelta64: ... + + __lt__: _ComparisonOpLT[datetime64, _ArrayLikeDT64_co] + __le__: _ComparisonOpLE[datetime64, _ArrayLikeDT64_co] + __gt__: _ComparisonOpGT[datetime64, _ArrayLikeDT64_co] + __ge__: _ComparisonOpGE[datetime64, _ArrayLikeDT64_co] + +class flexible(_RealMixin, generic[_FlexibleItemT_co], Generic[_FlexibleItemT_co]): ... + +class void(flexible[bytes | tuple[Any, ...]]): + @overload + def __init__(self, value: _IntLike_co | bytes, /, dtype: None = None) -> None: ... + @overload + def __init__(self, value: Any, /, dtype: _DTypeLikeVoid) -> None: ... + + @overload + def __getitem__(self, key: str | SupportsIndex, /) -> Any: ... + @overload + def __getitem__(self, key: list[str], /) -> void: ... + def __setitem__(self, key: str | list[str] | SupportsIndex, value: ArrayLike, /) -> None: ... + + def setfield(self, val: ArrayLike, dtype: DTypeLike, offset: int = ...) -> None: ... + +class character(flexible[_CharacterItemT_co], Generic[_CharacterItemT_co]): + @abstractmethod + def __init__(self, value: _CharacterItemT_co = ..., /) -> None: ... + +# NOTE: Most `np.bytes_` / `np.str_` methods return their builtin `bytes` / `str` counterpart + +class bytes_(character[bytes], bytes): + @overload + def __new__(cls, o: object = ..., /) -> Self: ... + @overload + def __new__(cls, s: str, /, encoding: str, errors: str = ...) -> Self: ... + + # + @overload + def __init__(self, o: object = ..., /) -> None: ... + @overload + def __init__(self, s: str, /, encoding: str, errors: str = ...) -> None: ... + + # + def __bytes__(self, /) -> bytes: ... + +class str_(character[str], str): + @overload + def __new__(cls, value: object = ..., /) -> Self: ... + @overload + def __new__(cls, value: bytes, /, encoding: str = ..., errors: str = ...) -> Self: ... + + # + @overload + def __init__(self, value: object = ..., /) -> None: ... + @overload + def __init__(self, value: bytes, /, encoding: str = ..., errors: str = ...) -> None: ... + +# See `numpy._typing._ufunc` for more concrete nin-/nout-specific stubs +@final +class ufunc: + @property + def __name__(self) -> LiteralString: ... + @property + def __qualname__(self) -> LiteralString: ... + @property + def __doc__(self) -> str: ... + @property + def nin(self) -> int: ... + @property + def nout(self) -> int: ... + @property + def nargs(self) -> int: ... + @property + def ntypes(self) -> int: ... + @property + def types(self) -> list[LiteralString]: ... + # Broad return type because it has to encompass things like + # + # >>> np.logical_and.identity is True + # True + # >>> np.add.identity is 0 + # True + # >>> np.sin.identity is None + # True + # + # and any user-defined ufuncs. + @property + def identity(self) -> Any: ... + # This is None for ufuncs and a string for gufuncs. + @property + def signature(self) -> None | LiteralString: ... + + def __call__(self, *args: Any, **kwargs: Any) -> Any: ... + # The next four methods will always exist, but they will just + # raise a ValueError ufuncs with that don't accept two input + # arguments and return one output argument. Because of that we + # can't type them very precisely. + def reduce(self, /, *args: Any, **kwargs: Any) -> Any: ... + def accumulate(self, /, *args: Any, **kwargs: Any) -> NDArray[Any]: ... + def reduceat(self, /, *args: Any, **kwargs: Any) -> NDArray[Any]: ... + def outer(self, *args: Any, **kwargs: Any) -> Any: ... + # Similarly at won't be defined for ufuncs that return multiple + # outputs, so we can't type it very precisely. + def at(self, /, *args: Any, **kwargs: Any) -> None: ... + + # + def resolve_dtypes( + self, + /, + dtypes: tuple[dtype[Any] | type | None, ...], + *, + signature: tuple[dtype[Any] | None, ...] | None = None, + casting: _CastingKind | None = None, + reduction: builtins.bool = False, + ) -> tuple[dtype[Any], ...]: ... + +# Parameters: `__name__`, `ntypes` and `identity` +absolute: _UFunc_Nin1_Nout1[L['absolute'], L[20], None] +add: _UFunc_Nin2_Nout1[L['add'], L[22], L[0]] +arccos: _UFunc_Nin1_Nout1[L['arccos'], L[8], None] +arccosh: _UFunc_Nin1_Nout1[L['arccosh'], L[8], None] +arcsin: _UFunc_Nin1_Nout1[L['arcsin'], L[8], None] +arcsinh: _UFunc_Nin1_Nout1[L['arcsinh'], L[8], None] +arctan2: _UFunc_Nin2_Nout1[L['arctan2'], L[5], None] +arctan: _UFunc_Nin1_Nout1[L['arctan'], L[8], None] +arctanh: _UFunc_Nin1_Nout1[L['arctanh'], L[8], None] +bitwise_and: _UFunc_Nin2_Nout1[L['bitwise_and'], L[12], L[-1]] +bitwise_count: _UFunc_Nin1_Nout1[L['bitwise_count'], L[11], None] +bitwise_not: _UFunc_Nin1_Nout1[L['invert'], L[12], None] +bitwise_or: _UFunc_Nin2_Nout1[L['bitwise_or'], L[12], L[0]] +bitwise_xor: _UFunc_Nin2_Nout1[L['bitwise_xor'], L[12], L[0]] +cbrt: _UFunc_Nin1_Nout1[L['cbrt'], L[5], None] +ceil: _UFunc_Nin1_Nout1[L['ceil'], L[7], None] +conj: _UFunc_Nin1_Nout1[L['conjugate'], L[18], None] +conjugate: _UFunc_Nin1_Nout1[L['conjugate'], L[18], None] +copysign: _UFunc_Nin2_Nout1[L['copysign'], L[4], None] +cos: _UFunc_Nin1_Nout1[L['cos'], L[9], None] +cosh: _UFunc_Nin1_Nout1[L['cosh'], L[8], None] +deg2rad: _UFunc_Nin1_Nout1[L['deg2rad'], L[5], None] +degrees: _UFunc_Nin1_Nout1[L['degrees'], L[5], None] +divide: _UFunc_Nin2_Nout1[L['true_divide'], L[11], None] +divmod: _UFunc_Nin2_Nout2[L['divmod'], L[15], None] +equal: _UFunc_Nin2_Nout1[L['equal'], L[23], None] +exp2: _UFunc_Nin1_Nout1[L['exp2'], L[8], None] +exp: _UFunc_Nin1_Nout1[L['exp'], L[10], None] +expm1: _UFunc_Nin1_Nout1[L['expm1'], L[8], None] +fabs: _UFunc_Nin1_Nout1[L['fabs'], L[5], None] +float_power: _UFunc_Nin2_Nout1[L['float_power'], L[4], None] +floor: _UFunc_Nin1_Nout1[L['floor'], L[7], None] +floor_divide: _UFunc_Nin2_Nout1[L['floor_divide'], L[21], None] +fmax: _UFunc_Nin2_Nout1[L['fmax'], L[21], None] +fmin: _UFunc_Nin2_Nout1[L['fmin'], L[21], None] +fmod: _UFunc_Nin2_Nout1[L['fmod'], L[15], None] +frexp: _UFunc_Nin1_Nout2[L['frexp'], L[4], None] +gcd: _UFunc_Nin2_Nout1[L['gcd'], L[11], L[0]] +greater: _UFunc_Nin2_Nout1[L['greater'], L[23], None] +greater_equal: _UFunc_Nin2_Nout1[L['greater_equal'], L[23], None] +heaviside: _UFunc_Nin2_Nout1[L['heaviside'], L[4], None] +hypot: _UFunc_Nin2_Nout1[L['hypot'], L[5], L[0]] +invert: _UFunc_Nin1_Nout1[L['invert'], L[12], None] +isfinite: _UFunc_Nin1_Nout1[L['isfinite'], L[20], None] +isinf: _UFunc_Nin1_Nout1[L['isinf'], L[20], None] +isnan: _UFunc_Nin1_Nout1[L['isnan'], L[20], None] +isnat: _UFunc_Nin1_Nout1[L['isnat'], L[2], None] +lcm: _UFunc_Nin2_Nout1[L['lcm'], L[11], None] +ldexp: _UFunc_Nin2_Nout1[L['ldexp'], L[8], None] +left_shift: _UFunc_Nin2_Nout1[L['left_shift'], L[11], None] +less: _UFunc_Nin2_Nout1[L['less'], L[23], None] +less_equal: _UFunc_Nin2_Nout1[L['less_equal'], L[23], None] +log10: _UFunc_Nin1_Nout1[L['log10'], L[8], None] +log1p: _UFunc_Nin1_Nout1[L['log1p'], L[8], None] +log2: _UFunc_Nin1_Nout1[L['log2'], L[8], None] +log: _UFunc_Nin1_Nout1[L['log'], L[10], None] +logaddexp2: _UFunc_Nin2_Nout1[L['logaddexp2'], L[4], float] +logaddexp: _UFunc_Nin2_Nout1[L['logaddexp'], L[4], float] +logical_and: _UFunc_Nin2_Nout1[L['logical_and'], L[20], L[True]] +logical_not: _UFunc_Nin1_Nout1[L['logical_not'], L[20], None] +logical_or: _UFunc_Nin2_Nout1[L['logical_or'], L[20], L[False]] +logical_xor: _UFunc_Nin2_Nout1[L['logical_xor'], L[19], L[False]] +matmul: _GUFunc_Nin2_Nout1[L['matmul'], L[19], None, L["(n?,k),(k,m?)->(n?,m?)"]] +matvec: _GUFunc_Nin2_Nout1[L['matvec'], L[19], None, L["(m,n),(n)->(m)"]] +maximum: _UFunc_Nin2_Nout1[L['maximum'], L[21], None] +minimum: _UFunc_Nin2_Nout1[L['minimum'], L[21], None] +mod: _UFunc_Nin2_Nout1[L['remainder'], L[16], None] +modf: _UFunc_Nin1_Nout2[L['modf'], L[4], None] +multiply: _UFunc_Nin2_Nout1[L['multiply'], L[23], L[1]] +negative: _UFunc_Nin1_Nout1[L['negative'], L[19], None] +nextafter: _UFunc_Nin2_Nout1[L['nextafter'], L[4], None] +not_equal: _UFunc_Nin2_Nout1[L['not_equal'], L[23], None] +positive: _UFunc_Nin1_Nout1[L['positive'], L[19], None] +power: _UFunc_Nin2_Nout1[L['power'], L[18], None] +rad2deg: _UFunc_Nin1_Nout1[L['rad2deg'], L[5], None] +radians: _UFunc_Nin1_Nout1[L['radians'], L[5], None] +reciprocal: _UFunc_Nin1_Nout1[L['reciprocal'], L[18], None] +remainder: _UFunc_Nin2_Nout1[L['remainder'], L[16], None] +right_shift: _UFunc_Nin2_Nout1[L['right_shift'], L[11], None] +rint: _UFunc_Nin1_Nout1[L['rint'], L[10], None] +sign: _UFunc_Nin1_Nout1[L['sign'], L[19], None] +signbit: _UFunc_Nin1_Nout1[L['signbit'], L[4], None] +sin: _UFunc_Nin1_Nout1[L['sin'], L[9], None] +sinh: _UFunc_Nin1_Nout1[L['sinh'], L[8], None] +spacing: _UFunc_Nin1_Nout1[L['spacing'], L[4], None] +sqrt: _UFunc_Nin1_Nout1[L['sqrt'], L[10], None] +square: _UFunc_Nin1_Nout1[L['square'], L[18], None] +subtract: _UFunc_Nin2_Nout1[L['subtract'], L[21], None] +tan: _UFunc_Nin1_Nout1[L['tan'], L[8], None] +tanh: _UFunc_Nin1_Nout1[L['tanh'], L[8], None] +true_divide: _UFunc_Nin2_Nout1[L['true_divide'], L[11], None] +trunc: _UFunc_Nin1_Nout1[L['trunc'], L[7], None] +vecdot: _GUFunc_Nin2_Nout1[L['vecdot'], L[19], None, L["(n),(n)->()"]] +vecmat: _GUFunc_Nin2_Nout1[L['vecmat'], L[19], None, L["(n),(n,m)->(m)"]] + +abs = absolute +acos = arccos +acosh = arccosh +asin = arcsin +asinh = arcsinh +atan = arctan +atanh = arctanh +atan2 = arctan2 +concat = concatenate +bitwise_left_shift = left_shift +bitwise_invert = invert +bitwise_right_shift = right_shift +permute_dims = transpose +pow = power + +class errstate: + def __init__( + self, + *, + call: _ErrCall = ..., + all: None | _ErrKind = ..., + divide: None | _ErrKind = ..., + over: None | _ErrKind = ..., + under: None | _ErrKind = ..., + invalid: None | _ErrKind = ..., + ) -> None: ... + def __enter__(self) -> None: ... + def __exit__( + self, + exc_type: None | type[BaseException], + exc_value: None | BaseException, + traceback: None | TracebackType, + /, + ) -> None: ... + def __call__(self, func: _CallableT) -> _CallableT: ... + +# TODO: The type of each `__next__` and `iters` return-type depends +# on the length and dtype of `args`; we can't describe this behavior yet +# as we lack variadics (PEP 646). +@final +class broadcast: + def __new__(cls, *args: ArrayLike) -> broadcast: ... + @property + def index(self) -> int: ... + @property + def iters(self) -> tuple[flatiter[Any], ...]: ... + @property + def nd(self) -> int: ... + @property + def ndim(self) -> int: ... + @property + def numiter(self) -> int: ... + @property + def shape(self) -> _Shape: ... + @property + def size(self) -> int: ... + def __next__(self) -> tuple[Any, ...]: ... + def __iter__(self) -> Self: ... + def reset(self) -> None: ... + +@final +class busdaycalendar: + def __new__( + cls, + weekmask: ArrayLike = ..., + holidays: ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + ) -> busdaycalendar: ... + @property + def weekmask(self) -> NDArray[np.bool]: ... + @property + def holidays(self) -> NDArray[datetime64]: ... + +class finfo(Generic[_FloatingT_co]): + dtype: Final[dtype[_FloatingT_co]] + bits: Final[int] + eps: Final[_FloatingT_co] + epsneg: Final[_FloatingT_co] + iexp: Final[int] + machep: Final[int] + max: Final[_FloatingT_co] + maxexp: Final[int] + min: Final[_FloatingT_co] + minexp: Final[int] + negep: Final[int] + nexp: Final[int] + nmant: Final[int] + precision: Final[int] + resolution: Final[_FloatingT_co] + smallest_subnormal: Final[_FloatingT_co] + @property + def smallest_normal(self) -> _FloatingT_co: ... + @property + def tiny(self) -> _FloatingT_co: ... + @overload + def __new__( + cls, dtype: inexact[_NBit1] | _DTypeLike[inexact[_NBit1]] + ) -> finfo[floating[_NBit1]]: ... + @overload + def __new__( + cls, dtype: complex | float | type[complex] | type[float] + ) -> finfo[float64]: ... + @overload + def __new__( + cls, dtype: str + ) -> finfo[floating[Any]]: ... + + +class iinfo(Generic[_IntegerT_co]): + dtype: Final[dtype[_IntegerT_co]] + kind: Final[LiteralString] + bits: Final[int] + key: Final[LiteralString] + @property + def min(self) -> int: ... + @property + def max(self) -> int: ... + + @overload + def __new__( + cls, dtype: _IntegerT_co | _DTypeLike[_IntegerT_co] + ) -> iinfo[_IntegerT_co]: ... + @overload + def __new__(cls, dtype: int | type[int]) -> iinfo[int_]: ... + @overload + def __new__(cls, dtype: str) -> iinfo[Any]: ... + +@final +class nditer: + def __new__( + cls, + op: ArrayLike | Sequence[ArrayLike | None], + flags: None | Sequence[_NDIterFlagsKind] = ..., + op_flags: None | Sequence[Sequence[_NDIterFlagsOp]] = ..., + op_dtypes: DTypeLike | Sequence[DTypeLike] = ..., + order: _OrderKACF = ..., + casting: _CastingKind = ..., + op_axes: None | Sequence[Sequence[SupportsIndex]] = ..., + itershape: None | _ShapeLike = ..., + buffersize: SupportsIndex = ..., + ) -> nditer: ... + def __enter__(self) -> nditer: ... + def __exit__( + self, + exc_type: None | type[BaseException], + exc_value: None | BaseException, + traceback: None | TracebackType, + ) -> None: ... + def __iter__(self) -> nditer: ... + def __next__(self) -> tuple[NDArray[Any], ...]: ... + def __len__(self) -> int: ... + def __copy__(self) -> nditer: ... + @overload + def __getitem__(self, index: SupportsIndex) -> NDArray[Any]: ... + @overload + def __getitem__(self, index: slice) -> tuple[NDArray[Any], ...]: ... + def __setitem__(self, index: slice | SupportsIndex, value: ArrayLike) -> None: ... + def close(self) -> None: ... + def copy(self) -> nditer: ... + def debug_print(self) -> None: ... + def enable_external_loop(self) -> None: ... + def iternext(self) -> builtins.bool: ... + def remove_axis(self, i: SupportsIndex, /) -> None: ... + def remove_multi_index(self) -> None: ... + def reset(self) -> None: ... + @property + def dtypes(self) -> tuple[dtype[Any], ...]: ... + @property + def finished(self) -> builtins.bool: ... + @property + def has_delayed_bufalloc(self) -> builtins.bool: ... + @property + def has_index(self) -> builtins.bool: ... + @property + def has_multi_index(self) -> builtins.bool: ... + @property + def index(self) -> int: ... + @property + def iterationneedsapi(self) -> builtins.bool: ... + @property + def iterindex(self) -> int: ... + @property + def iterrange(self) -> tuple[int, ...]: ... + @property + def itersize(self) -> int: ... + @property + def itviews(self) -> tuple[NDArray[Any], ...]: ... + @property + def multi_index(self) -> tuple[int, ...]: ... + @property + def ndim(self) -> int: ... + @property + def nop(self) -> int: ... + @property + def operands(self) -> tuple[NDArray[Any], ...]: ... + @property + def shape(self) -> tuple[int, ...]: ... + @property + def value(self) -> tuple[NDArray[Any], ...]: ... + +class memmap(ndarray[_ShapeT_co, _DType_co]): + __array_priority__: ClassVar[float] + filename: str | None + offset: int + mode: str + @overload + def __new__( + subtype, + filename: StrOrBytesPath | _SupportsFileMethodsRW, + dtype: type[uint8] = ..., + mode: _MemMapModeKind = ..., + offset: int = ..., + shape: None | int | tuple[int, ...] = ..., + order: _OrderKACF = ..., + ) -> memmap[Any, dtype[uint8]]: ... + @overload + def __new__( + subtype, + filename: StrOrBytesPath | _SupportsFileMethodsRW, + dtype: _DTypeLike[_SCT], + mode: _MemMapModeKind = ..., + offset: int = ..., + shape: None | int | tuple[int, ...] = ..., + order: _OrderKACF = ..., + ) -> memmap[Any, dtype[_SCT]]: ... + @overload + def __new__( + subtype, + filename: StrOrBytesPath | _SupportsFileMethodsRW, + dtype: DTypeLike, + mode: _MemMapModeKind = ..., + offset: int = ..., + shape: None | int | tuple[int, ...] = ..., + order: _OrderKACF = ..., + ) -> memmap[Any, dtype[Any]]: ... + def __array_finalize__(self, obj: object) -> None: ... + def __array_wrap__( + self, + array: memmap[_ShapeT_co, _DType_co], + context: None | tuple[ufunc, tuple[Any, ...], int] = ..., + return_scalar: builtins.bool = ..., + ) -> Any: ... + def flush(self) -> None: ... + +# TODO: Add a mypy plugin for managing functions whose output type is dependent +# on the literal value of some sort of signature (e.g. `einsum` and `vectorize`) +class vectorize: + pyfunc: Callable[..., Any] + cache: builtins.bool + signature: None | LiteralString + otypes: None | LiteralString + excluded: set[int | str] + __doc__: None | str + def __init__( + self, + pyfunc: Callable[..., Any], + otypes: None | str | Iterable[DTypeLike] = ..., + doc: None | str = ..., + excluded: None | Iterable[int | str] = ..., + cache: builtins.bool = ..., + signature: None | str = ..., + ) -> None: ... + def __call__(self, *args: Any, **kwargs: Any) -> Any: ... + +class poly1d: + @property + def variable(self) -> LiteralString: ... + @property + def order(self) -> int: ... + @property + def o(self) -> int: ... + @property + def roots(self) -> NDArray[Any]: ... + @property + def r(self) -> NDArray[Any]: ... + + @property + def coeffs(self) -> NDArray[Any]: ... + @coeffs.setter + def coeffs(self, value: NDArray[Any]) -> None: ... + + @property + def c(self) -> NDArray[Any]: ... + @c.setter + def c(self, value: NDArray[Any]) -> None: ... + + @property + def coef(self) -> NDArray[Any]: ... + @coef.setter + def coef(self, value: NDArray[Any]) -> None: ... + + @property + def coefficients(self) -> NDArray[Any]: ... + @coefficients.setter + def coefficients(self, value: NDArray[Any]) -> None: ... + + __hash__: ClassVar[None] # type: ignore[assignment] # pyright: ignore[reportIncompatibleMethodOverride] + + @overload + def __array__(self, /, t: None = None, copy: builtins.bool | None = None) -> ndarray[tuple[int], dtype[Any]]: ... + @overload + def __array__(self, /, t: _DType, copy: builtins.bool | None = None) -> ndarray[tuple[int], _DType]: ... + + @overload + def __call__(self, val: _ScalarLike_co) -> Any: ... + @overload + def __call__(self, val: poly1d) -> poly1d: ... + @overload + def __call__(self, val: ArrayLike) -> NDArray[Any]: ... + + def __init__( + self, + c_or_r: ArrayLike, + r: builtins.bool = ..., + variable: None | str = ..., + ) -> None: ... + def __len__(self) -> int: ... + def __neg__(self) -> poly1d: ... + def __pos__(self) -> poly1d: ... + def __mul__(self, other: ArrayLike, /) -> poly1d: ... + def __rmul__(self, other: ArrayLike, /) -> poly1d: ... + def __add__(self, other: ArrayLike, /) -> poly1d: ... + def __radd__(self, other: ArrayLike, /) -> poly1d: ... + def __pow__(self, val: _FloatLike_co, /) -> poly1d: ... # Integral floats are accepted + def __sub__(self, other: ArrayLike, /) -> poly1d: ... + def __rsub__(self, other: ArrayLike, /) -> poly1d: ... + def __div__(self, other: ArrayLike, /) -> poly1d: ... + def __truediv__(self, other: ArrayLike, /) -> poly1d: ... + def __rdiv__(self, other: ArrayLike, /) -> poly1d: ... + def __rtruediv__(self, other: ArrayLike, /) -> poly1d: ... + def __getitem__(self, val: int, /) -> Any: ... + def __setitem__(self, key: int, val: Any, /) -> None: ... + def __iter__(self) -> Iterator[Any]: ... + def deriv(self, m: SupportsInt | SupportsIndex = ...) -> poly1d: ... + def integ( + self, + m: SupportsInt | SupportsIndex = ..., + k: None | _ArrayLikeComplex_co | _ArrayLikeObject_co = ..., + ) -> poly1d: ... + + +class matrix(ndarray[_2DShapeT_co, _DType_co]): + __array_priority__: ClassVar[float] + def __new__( + subtype, + data: ArrayLike, + dtype: DTypeLike = ..., + copy: builtins.bool = ..., + ) -> matrix[_2D, Any]: ... + def __array_finalize__(self, obj: object) -> None: ... + + @overload + def __getitem__( + self, + key: ( + SupportsIndex + | _ArrayLikeInt_co + | tuple[SupportsIndex | _ArrayLikeInt_co, ...] + ), + /, + ) -> Any: ... + @overload + def __getitem__( + self, + key: ( + None + | slice + | EllipsisType + | SupportsIndex + | _ArrayLikeInt_co + | tuple[None | slice | EllipsisType | _ArrayLikeInt_co | SupportsIndex, ...] + ), + /, + ) -> matrix[_2D, _DType_co]: ... + @overload + def __getitem__(self: NDArray[void], key: str, /) -> matrix[_2D, dtype[Any]]: ... + @overload + def __getitem__(self: NDArray[void], key: list[str], /) -> matrix[_2DShapeT_co, dtype[void]]: ... + + def __mul__(self, other: ArrayLike, /) -> matrix[_2D, Any]: ... + def __rmul__(self, other: ArrayLike, /) -> matrix[_2D, Any]: ... + def __imul__(self, other: ArrayLike, /) -> matrix[_2DShapeT_co, _DType_co]: ... + def __pow__(self, other: ArrayLike, /) -> matrix[_2D, Any]: ... + def __ipow__(self, other: ArrayLike, /) -> matrix[_2DShapeT_co, _DType_co]: ... + + @overload + def sum(self, axis: None = ..., dtype: DTypeLike = ..., out: None = ...) -> Any: ... + @overload + def sum(self, axis: _ShapeLike, dtype: DTypeLike = ..., out: None = ...) -> matrix[_2D, Any]: ... + @overload + def sum(self, axis: None | _ShapeLike = ..., dtype: DTypeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def mean(self, axis: None = ..., dtype: DTypeLike = ..., out: None = ...) -> Any: ... + @overload + def mean(self, axis: _ShapeLike, dtype: DTypeLike = ..., out: None = ...) -> matrix[_2D, Any]: ... + @overload + def mean(self, axis: None | _ShapeLike = ..., dtype: DTypeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def std(self, axis: None = ..., dtype: DTypeLike = ..., out: None = ..., ddof: float = ...) -> Any: ... + @overload + def std(self, axis: _ShapeLike, dtype: DTypeLike = ..., out: None = ..., ddof: float = ...) -> matrix[_2D, Any]: ... + @overload + def std(self, axis: None | _ShapeLike = ..., dtype: DTypeLike = ..., out: _ArrayT = ..., ddof: float = ...) -> _ArrayT: ... + + @overload + def var(self, axis: None = ..., dtype: DTypeLike = ..., out: None = ..., ddof: float = ...) -> Any: ... + @overload + def var(self, axis: _ShapeLike, dtype: DTypeLike = ..., out: None = ..., ddof: float = ...) -> matrix[_2D, Any]: ... + @overload + def var(self, axis: None | _ShapeLike = ..., dtype: DTypeLike = ..., out: _ArrayT = ..., ddof: float = ...) -> _ArrayT: ... + + @overload + def prod(self, axis: None = ..., dtype: DTypeLike = ..., out: None = ...) -> Any: ... + @overload + def prod(self, axis: _ShapeLike, dtype: DTypeLike = ..., out: None = ...) -> matrix[_2D, Any]: ... + @overload + def prod(self, axis: None | _ShapeLike = ..., dtype: DTypeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def any(self, axis: None = ..., out: None = ...) -> np.bool: ... + @overload + def any(self, axis: _ShapeLike, out: None = ...) -> matrix[_2D, dtype[np.bool]]: ... + @overload + def any(self, axis: None | _ShapeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def all(self, axis: None = ..., out: None = ...) -> np.bool: ... + @overload + def all(self, axis: _ShapeLike, out: None = ...) -> matrix[_2D, dtype[np.bool]]: ... + @overload + def all(self, axis: None | _ShapeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def max(self: NDArray[_SCT], axis: None = ..., out: None = ...) -> _SCT: ... + @overload + def max(self, axis: _ShapeLike, out: None = ...) -> matrix[_2D, _DType_co]: ... + @overload + def max(self, axis: None | _ShapeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def min(self: NDArray[_SCT], axis: None = ..., out: None = ...) -> _SCT: ... + @overload + def min(self, axis: _ShapeLike, out: None = ...) -> matrix[_2D, _DType_co]: ... + @overload + def min(self, axis: None | _ShapeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def argmax(self: NDArray[_SCT], axis: None = ..., out: None = ...) -> intp: ... + @overload + def argmax(self, axis: _ShapeLike, out: None = ...) -> matrix[_2D, dtype[intp]]: ... + @overload + def argmax(self, axis: None | _ShapeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def argmin(self: NDArray[_SCT], axis: None = ..., out: None = ...) -> intp: ... + @overload + def argmin(self, axis: _ShapeLike, out: None = ...) -> matrix[_2D, dtype[intp]]: ... + @overload + def argmin(self, axis: None | _ShapeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + @overload + def ptp(self: NDArray[_SCT], axis: None = ..., out: None = ...) -> _SCT: ... + @overload + def ptp(self, axis: _ShapeLike, out: None = ...) -> matrix[_2D, _DType_co]: ... + @overload + def ptp(self, axis: None | _ShapeLike = ..., out: _ArrayT = ...) -> _ArrayT: ... + + def squeeze(self, axis: None | _ShapeLike = ...) -> matrix[_2D, _DType_co]: ... + def tolist(self: matrix[Any, dtype[generic[_T]]]) -> list[list[_T]]: ... # pyright: ignore[reportIncompatibleMethodOverride] + def ravel(self, /, order: _OrderKACF = "C") -> matrix[tuple[L[1], int], _DType_co]: ... # pyright: ignore[reportIncompatibleMethodOverride] + def flatten(self, /, order: _OrderKACF = "C") -> matrix[tuple[L[1], int], _DType_co]: ... # pyright: ignore[reportIncompatibleMethodOverride] + + @property + def T(self) -> matrix[_2D, _DType_co]: ... + @property + def I(self) -> matrix[_2D, Any]: ... + @property + def A(self) -> ndarray[_2DShapeT_co, _DType_co]: ... + @property + def A1(self) -> ndarray[_Shape, _DType_co]: ... + @property + def H(self) -> matrix[_2D, _DType_co]: ... + def getT(self) -> matrix[_2D, _DType_co]: ... + def getI(self) -> matrix[_2D, Any]: ... + def getA(self) -> ndarray[_2DShapeT_co, _DType_co]: ... + def getA1(self) -> ndarray[_Shape, _DType_co]: ... + def getH(self) -> matrix[_2D, _DType_co]: ... + + +def from_dlpack( + x: _SupportsDLPack[None], + /, + *, + device: L["cpu"] | None = None, + copy: builtins.bool | None = None, +) -> NDArray[number[Any] | np.bool]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_array_api_info.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_array_api_info.py new file mode 100644 index 0000000000000000000000000000000000000000..0167a2fe7985513f99e9959d85410a9f62e44310 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_array_api_info.py @@ -0,0 +1,346 @@ +""" +Array API Inspection namespace + +This is the namespace for inspection functions as defined by the array API +standard. See +https://data-apis.org/array-api/latest/API_specification/inspection.html for +more details. + +""" +from numpy._core import ( + dtype, + bool, + intp, + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, + float32, + float64, + complex64, + complex128, +) + + +class __array_namespace_info__: + """ + Get the array API inspection namespace for NumPy. + + The array API inspection namespace defines the following functions: + + - capabilities() + - default_device() + - default_dtypes() + - dtypes() + - devices() + + See + https://data-apis.org/array-api/latest/API_specification/inspection.html + for more details. + + Returns + ------- + info : ModuleType + The array API inspection namespace for NumPy. + + Examples + -------- + >>> info = np.__array_namespace_info__() + >>> info.default_dtypes() + {'real floating': numpy.float64, + 'complex floating': numpy.complex128, + 'integral': numpy.int64, + 'indexing': numpy.int64} + + """ + + __module__ = 'numpy' + + def capabilities(self): + """ + Return a dictionary of array API library capabilities. + + The resulting dictionary has the following keys: + + - **"boolean indexing"**: boolean indicating whether an array library + supports boolean indexing. Always ``True`` for NumPy. + + - **"data-dependent shapes"**: boolean indicating whether an array + library supports data-dependent output shapes. Always ``True`` for + NumPy. + + See + https://data-apis.org/array-api/latest/API_specification/generated/array_api.info.capabilities.html + for more details. + + See Also + -------- + __array_namespace_info__.default_device, + __array_namespace_info__.default_dtypes, + __array_namespace_info__.dtypes, + __array_namespace_info__.devices + + Returns + ------- + capabilities : dict + A dictionary of array API library capabilities. + + Examples + -------- + >>> info = np.__array_namespace_info__() + >>> info.capabilities() + {'boolean indexing': True, + 'data-dependent shapes': True} + + """ + return { + "boolean indexing": True, + "data-dependent shapes": True, + # 'max rank' will be part of the 2024.12 standard + # "max rank": 64, + } + + def default_device(self): + """ + The default device used for new NumPy arrays. + + For NumPy, this always returns ``'cpu'``. + + See Also + -------- + __array_namespace_info__.capabilities, + __array_namespace_info__.default_dtypes, + __array_namespace_info__.dtypes, + __array_namespace_info__.devices + + Returns + ------- + device : str + The default device used for new NumPy arrays. + + Examples + -------- + >>> info = np.__array_namespace_info__() + >>> info.default_device() + 'cpu' + + """ + return "cpu" + + def default_dtypes(self, *, device=None): + """ + The default data types used for new NumPy arrays. + + For NumPy, this always returns the following dictionary: + + - **"real floating"**: ``numpy.float64`` + - **"complex floating"**: ``numpy.complex128`` + - **"integral"**: ``numpy.intp`` + - **"indexing"**: ``numpy.intp`` + + Parameters + ---------- + device : str, optional + The device to get the default data types for. For NumPy, only + ``'cpu'`` is allowed. + + Returns + ------- + dtypes : dict + A dictionary describing the default data types used for new NumPy + arrays. + + See Also + -------- + __array_namespace_info__.capabilities, + __array_namespace_info__.default_device, + __array_namespace_info__.dtypes, + __array_namespace_info__.devices + + Examples + -------- + >>> info = np.__array_namespace_info__() + >>> info.default_dtypes() + {'real floating': numpy.float64, + 'complex floating': numpy.complex128, + 'integral': numpy.int64, + 'indexing': numpy.int64} + + """ + if device not in ["cpu", None]: + raise ValueError( + 'Device not understood. Only "cpu" is allowed, but received:' + f' {device}' + ) + return { + "real floating": dtype(float64), + "complex floating": dtype(complex128), + "integral": dtype(intp), + "indexing": dtype(intp), + } + + def dtypes(self, *, device=None, kind=None): + """ + The array API data types supported by NumPy. + + Note that this function only returns data types that are defined by + the array API. + + Parameters + ---------- + device : str, optional + The device to get the data types for. For NumPy, only ``'cpu'`` is + allowed. + kind : str or tuple of str, optional + The kind of data types to return. If ``None``, all data types are + returned. If a string, only data types of that kind are returned. + If a tuple, a dictionary containing the union of the given kinds + is returned. The following kinds are supported: + + - ``'bool'``: boolean data types (i.e., ``bool``). + - ``'signed integer'``: signed integer data types (i.e., ``int8``, + ``int16``, ``int32``, ``int64``). + - ``'unsigned integer'``: unsigned integer data types (i.e., + ``uint8``, ``uint16``, ``uint32``, ``uint64``). + - ``'integral'``: integer data types. Shorthand for ``('signed + integer', 'unsigned integer')``. + - ``'real floating'``: real-valued floating-point data types + (i.e., ``float32``, ``float64``). + - ``'complex floating'``: complex floating-point data types (i.e., + ``complex64``, ``complex128``). + - ``'numeric'``: numeric data types. Shorthand for ``('integral', + 'real floating', 'complex floating')``. + + Returns + ------- + dtypes : dict + A dictionary mapping the names of data types to the corresponding + NumPy data types. + + See Also + -------- + __array_namespace_info__.capabilities, + __array_namespace_info__.default_device, + __array_namespace_info__.default_dtypes, + __array_namespace_info__.devices + + Examples + -------- + >>> info = np.__array_namespace_info__() + >>> info.dtypes(kind='signed integer') + {'int8': numpy.int8, + 'int16': numpy.int16, + 'int32': numpy.int32, + 'int64': numpy.int64} + + """ + if device not in ["cpu", None]: + raise ValueError( + 'Device not understood. Only "cpu" is allowed, but received:' + f' {device}' + ) + if kind is None: + return { + "bool": dtype(bool), + "int8": dtype(int8), + "int16": dtype(int16), + "int32": dtype(int32), + "int64": dtype(int64), + "uint8": dtype(uint8), + "uint16": dtype(uint16), + "uint32": dtype(uint32), + "uint64": dtype(uint64), + "float32": dtype(float32), + "float64": dtype(float64), + "complex64": dtype(complex64), + "complex128": dtype(complex128), + } + if kind == "bool": + return {"bool": bool} + if kind == "signed integer": + return { + "int8": dtype(int8), + "int16": dtype(int16), + "int32": dtype(int32), + "int64": dtype(int64), + } + if kind == "unsigned integer": + return { + "uint8": dtype(uint8), + "uint16": dtype(uint16), + "uint32": dtype(uint32), + "uint64": dtype(uint64), + } + if kind == "integral": + return { + "int8": dtype(int8), + "int16": dtype(int16), + "int32": dtype(int32), + "int64": dtype(int64), + "uint8": dtype(uint8), + "uint16": dtype(uint16), + "uint32": dtype(uint32), + "uint64": dtype(uint64), + } + if kind == "real floating": + return { + "float32": dtype(float32), + "float64": dtype(float64), + } + if kind == "complex floating": + return { + "complex64": dtype(complex64), + "complex128": dtype(complex128), + } + if kind == "numeric": + return { + "int8": dtype(int8), + "int16": dtype(int16), + "int32": dtype(int32), + "int64": dtype(int64), + "uint8": dtype(uint8), + "uint16": dtype(uint16), + "uint32": dtype(uint32), + "uint64": dtype(uint64), + "float32": dtype(float32), + "float64": dtype(float64), + "complex64": dtype(complex64), + "complex128": dtype(complex128), + } + if isinstance(kind, tuple): + res = {} + for k in kind: + res.update(self.dtypes(kind=k)) + return res + raise ValueError(f"unsupported kind: {kind!r}") + + def devices(self): + """ + The devices supported by NumPy. + + For NumPy, this always returns ``['cpu']``. + + Returns + ------- + devices : list of str + The devices supported by NumPy. + + See Also + -------- + __array_namespace_info__.capabilities, + __array_namespace_info__.default_device, + __array_namespace_info__.default_dtypes, + __array_namespace_info__.dtypes + + Examples + -------- + >>> info = np.__array_namespace_info__() + >>> info.devices() + ['cpu'] + + """ + return ["cpu"] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_array_api_info.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_array_api_info.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e9c17a6f18ce6b8016d4b69664c7ed2bdde2b5a5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_array_api_info.pyi @@ -0,0 +1,210 @@ +from typing import ( + ClassVar, + Literal, + TypeAlias, + TypedDict, + TypeVar, + final, + overload, + type_check_only, +) +from typing_extensions import Never + +import numpy as np + + +_Device: TypeAlias = Literal["cpu"] +_DeviceLike: TypeAlias = None | _Device + +_Capabilities = TypedDict( + "_Capabilities", + { + "boolean indexing": Literal[True], + "data-dependent shapes": Literal[True], + }, +) + +_DefaultDTypes = TypedDict( + "_DefaultDTypes", + { + "real floating": np.dtype[np.float64], + "complex floating": np.dtype[np.complex128], + "integral": np.dtype[np.intp], + "indexing": np.dtype[np.intp], + }, +) + + +_KindBool: TypeAlias = Literal["bool"] +_KindInt: TypeAlias = Literal["signed integer"] +_KindUInt: TypeAlias = Literal["unsigned integer"] +_KindInteger: TypeAlias = Literal["integral"] +_KindFloat: TypeAlias = Literal["real floating"] +_KindComplex: TypeAlias = Literal["complex floating"] +_KindNumber: TypeAlias = Literal["numeric"] +_Kind: TypeAlias = ( + _KindBool + | _KindInt + | _KindUInt + | _KindInteger + | _KindFloat + | _KindComplex + | _KindNumber +) + + +_T1 = TypeVar("_T1") +_T2 = TypeVar("_T2") +_T3 = TypeVar("_T3") +_Permute1: TypeAlias = _T1 | tuple[_T1] +_Permute2: TypeAlias = tuple[_T1, _T2] | tuple[_T2, _T1] +_Permute3: TypeAlias = ( + tuple[_T1, _T2, _T3] | tuple[_T1, _T3, _T2] + | tuple[_T2, _T1, _T3] | tuple[_T2, _T3, _T1] + | tuple[_T3, _T1, _T2] | tuple[_T3, _T2, _T1] +) + +@type_check_only +class _DTypesBool(TypedDict): + bool: np.dtype[np.bool] + +@type_check_only +class _DTypesInt(TypedDict): + int8: np.dtype[np.int8] + int16: np.dtype[np.int16] + int32: np.dtype[np.int32] + int64: np.dtype[np.int64] + +@type_check_only +class _DTypesUInt(TypedDict): + uint8: np.dtype[np.uint8] + uint16: np.dtype[np.uint16] + uint32: np.dtype[np.uint32] + uint64: np.dtype[np.uint64] + +@type_check_only +class _DTypesInteger(_DTypesInt, _DTypesUInt): ... + +@type_check_only +class _DTypesFloat(TypedDict): + float32: np.dtype[np.float32] + float64: np.dtype[np.float64] + +@type_check_only +class _DTypesComplex(TypedDict): + complex64: np.dtype[np.complex64] + complex128: np.dtype[np.complex128] + +@type_check_only +class _DTypesNumber(_DTypesInteger, _DTypesFloat, _DTypesComplex): ... + +@type_check_only +class _DTypes(_DTypesBool, _DTypesNumber): ... + +@type_check_only +class _DTypesUnion(TypedDict, total=False): + bool: np.dtype[np.bool] + int8: np.dtype[np.int8] + int16: np.dtype[np.int16] + int32: np.dtype[np.int32] + int64: np.dtype[np.int64] + uint8: np.dtype[np.uint8] + uint16: np.dtype[np.uint16] + uint32: np.dtype[np.uint32] + uint64: np.dtype[np.uint64] + float32: np.dtype[np.float32] + float64: np.dtype[np.float64] + complex64: np.dtype[np.complex64] + complex128: np.dtype[np.complex128] + +_EmptyDict: TypeAlias = dict[Never, Never] + +@final +class __array_namespace_info__: + __module__: ClassVar[Literal['numpy']] + + def capabilities(self) -> _Capabilities: ... + def default_device(self) -> _Device: ... + def default_dtypes( + self, + *, + device: _DeviceLike = ..., + ) -> _DefaultDTypes: ... + def devices(self) -> list[_Device]: ... + + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: None = ..., + ) -> _DTypes: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: _Permute1[_KindBool], + ) -> _DTypesBool: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: _Permute1[_KindInt], + ) -> _DTypesInt: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: _Permute1[_KindUInt], + ) -> _DTypesUInt: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: _Permute1[_KindFloat], + ) -> _DTypesFloat: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: _Permute1[_KindComplex], + ) -> _DTypesComplex: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: ( + _Permute1[_KindInteger] + | _Permute2[_KindInt, _KindUInt] + ), + ) -> _DTypesInteger: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: ( + _Permute1[_KindNumber] + | _Permute3[_KindInteger, _KindFloat, _KindComplex] + ), + ) -> _DTypesNumber: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: tuple[()], + ) -> _EmptyDict: ... + @overload + def dtypes( + self, + *, + device: _DeviceLike = ..., + kind: tuple[_Kind, ...], + ) -> _DTypesUnion: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_configtool.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_configtool.py new file mode 100644 index 0000000000000000000000000000000000000000..70a14b876bccd9dab58c4b989785e2aec4c690fa --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_configtool.py @@ -0,0 +1,39 @@ +import argparse +from pathlib import Path +import sys + +from .version import __version__ +from .lib._utils_impl import get_include + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument( + "--version", + action="version", + version=__version__, + help="Print the version and exit.", + ) + parser.add_argument( + "--cflags", + action="store_true", + help="Compile flag needed when using the NumPy headers.", + ) + parser.add_argument( + "--pkgconfigdir", + action="store_true", + help=("Print the pkgconfig directory in which `numpy.pc` is stored " + "(useful for setting $PKG_CONFIG_PATH)."), + ) + args = parser.parse_args() + if not sys.argv[1:]: + parser.print_help() + if args.cflags: + print("-I" + get_include()) + if args.pkgconfigdir: + _path = Path(get_include()) / '..' / 'lib' / 'pkgconfig' + print(_path.resolve()) + + +if __name__ == "__main__": + main() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_configtool.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_configtool.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7e7363e797f3f5a33f66efd0349814c562e349e6 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_configtool.pyi @@ -0,0 +1 @@ +def main() -> None: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..4b90877138a3ae5e06f35eb668200931073f394b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/__init__.py @@ -0,0 +1,180 @@ +""" +Contains the core of NumPy: ndarray, ufuncs, dtypes, etc. + +Please note that this module is private. All functions and objects +are available in the main ``numpy`` namespace - use that instead. + +""" + +import os + +from numpy.version import version as __version__ + + +# disables OpenBLAS affinity setting of the main thread that limits +# python threads or processes to one core +env_added = [] +for envkey in ['OPENBLAS_MAIN_FREE', 'GOTOBLAS_MAIN_FREE']: + if envkey not in os.environ: + os.environ[envkey] = '1' + env_added.append(envkey) + +try: + from . import multiarray +except ImportError as exc: + import sys + msg = """ + +IMPORTANT: PLEASE READ THIS FOR ADVICE ON HOW TO SOLVE THIS ISSUE! + +Importing the numpy C-extensions failed. This error can happen for +many reasons, often due to issues with your setup or how NumPy was +installed. + +We have compiled some common reasons and troubleshooting tips at: + + https://numpy.org/devdocs/user/troubleshooting-importerror.html + +Please note and check the following: + + * The Python version is: Python%d.%d from "%s" + * The NumPy version is: "%s" + +and make sure that they are the versions you expect. +Please carefully study the documentation linked above for further help. + +Original error was: %s +""" % (sys.version_info[0], sys.version_info[1], sys.executable, + __version__, exc) + raise ImportError(msg) +finally: + for envkey in env_added: + del os.environ[envkey] +del envkey +del env_added +del os + +from . import umath + +# Check that multiarray,umath are pure python modules wrapping +# _multiarray_umath and not either of the old c-extension modules +if not (hasattr(multiarray, '_multiarray_umath') and + hasattr(umath, '_multiarray_umath')): + import sys + path = sys.modules['numpy'].__path__ + msg = ("Something is wrong with the numpy installation. " + "While importing we detected an older version of " + "numpy in {}. One method of fixing this is to repeatedly uninstall " + "numpy until none is found, then reinstall this version.") + raise ImportError(msg.format(path)) + +from . import numerictypes as nt +from .numerictypes import sctypes, sctypeDict +multiarray.set_typeDict(nt.sctypeDict) +from . import numeric +from .numeric import * +from . import fromnumeric +from .fromnumeric import * +from .records import record, recarray +# Note: module name memmap is overwritten by a class with same name +from .memmap import * +from . import function_base +from .function_base import * +from . import _machar +from . import getlimits +from .getlimits import * +from . import shape_base +from .shape_base import * +from . import einsumfunc +from .einsumfunc import * +del nt + +from .numeric import absolute as abs + +# do this after everything else, to minimize the chance of this misleadingly +# appearing in an import-time traceback +from . import _add_newdocs +from . import _add_newdocs_scalars +# add these for module-freeze analysis (like PyInstaller) +from . import _dtype_ctypes +from . import _internal +from . import _dtype +from . import _methods + +acos = numeric.arccos +acosh = numeric.arccosh +asin = numeric.arcsin +asinh = numeric.arcsinh +atan = numeric.arctan +atanh = numeric.arctanh +atan2 = numeric.arctan2 +concat = numeric.concatenate +bitwise_left_shift = numeric.left_shift +bitwise_invert = numeric.invert +bitwise_right_shift = numeric.right_shift +permute_dims = numeric.transpose +pow = numeric.power + +__all__ = [ + "abs", "acos", "acosh", "asin", "asinh", "atan", "atanh", "atan2", + "bitwise_invert", "bitwise_left_shift", "bitwise_right_shift", "concat", + "pow", "permute_dims", "memmap", "sctypeDict", "record", "recarray" +] +__all__ += numeric.__all__ +__all__ += function_base.__all__ +__all__ += getlimits.__all__ +__all__ += shape_base.__all__ +__all__ += einsumfunc.__all__ + + +def _ufunc_reduce(func): + # Report the `__name__`. pickle will try to find the module. Note that + # pickle supports for this `__name__` to be a `__qualname__`. It may + # make sense to add a `__qualname__` to ufuncs, to allow this more + # explicitly (Numba has ufuncs as attributes). + # See also: https://github.com/dask/distributed/issues/3450 + return func.__name__ + + +def _DType_reconstruct(scalar_type): + # This is a work-around to pickle type(np.dtype(np.float64)), etc. + # and it should eventually be replaced with a better solution, e.g. when + # DTypes become HeapTypes. + return type(dtype(scalar_type)) + + +def _DType_reduce(DType): + # As types/classes, most DTypes can simply be pickled by their name: + if not DType._legacy or DType.__module__ == "numpy.dtypes": + return DType.__name__ + + # However, user defined legacy dtypes (like rational) do not end up in + # `numpy.dtypes` as module and do not have a public class at all. + # For these, we pickle them by reconstructing them from the scalar type: + scalar_type = DType.type + return _DType_reconstruct, (scalar_type,) + + +def __getattr__(name): + # Deprecated 2022-11-22, NumPy 1.25. + if name == "MachAr": + import warnings + warnings.warn( + "The `np._core.MachAr` is considered private API (NumPy 1.24)", + DeprecationWarning, stacklevel=2, + ) + return _machar.MachAr + raise AttributeError(f"Module {__name__!r} has no attribute {name!r}") + + +import copyreg + +copyreg.pickle(ufunc, _ufunc_reduce) +copyreg.pickle(type(dtype), _DType_reduce, _DType_reconstruct) + +# Unclutter namespace (must keep _*_reconstruct for unpickling) +del copyreg, _ufunc_reduce, _DType_reduce + +from numpy._pytesttester import PytestTester +test = PytestTester(__name__) +del PytestTester diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..40d9c411b97cf7f9e5df910b7567db9238a61e5d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/__init__.pyi @@ -0,0 +1,2 @@ +# NOTE: The `np._core` namespace is deliberately kept empty due to it +# being private diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs.py new file mode 100644 index 0000000000000000000000000000000000000000..d860aadedd83f3bcfcb3afef3fe194ec99730517 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs.py @@ -0,0 +1,6974 @@ +""" +This is only meant to add docs to objects defined in C-extension modules. +The purpose is to allow easier editing of the docstrings without +requiring a re-compile. + +NOTE: Many of the methods of ndarray have corresponding functions. + If you update these docstrings, please keep also the ones in + _core/fromnumeric.py, matrixlib/defmatrix.py up-to-date. + +""" + +from numpy._core.function_base import add_newdoc +from numpy._core.overrides import get_array_function_like_doc + + +############################################################################### +# +# flatiter +# +# flatiter needs a toplevel description +# +############################################################################### + +add_newdoc('numpy._core', 'flatiter', + """ + Flat iterator object to iterate over arrays. + + A `flatiter` iterator is returned by ``x.flat`` for any array `x`. + It allows iterating over the array as if it were a 1-D array, + either in a for-loop or by calling its `next` method. + + Iteration is done in row-major, C-style order (the last + index varying the fastest). The iterator can also be indexed using + basic slicing or advanced indexing. + + See Also + -------- + ndarray.flat : Return a flat iterator over an array. + ndarray.flatten : Returns a flattened copy of an array. + + Notes + ----- + A `flatiter` iterator can not be constructed directly from Python code + by calling the `flatiter` constructor. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6).reshape(2, 3) + >>> fl = x.flat + >>> type(fl) + + >>> for item in fl: + ... print(item) + ... + 0 + 1 + 2 + 3 + 4 + 5 + + >>> fl[2:4] + array([2, 3]) + + """) + +# flatiter attributes + +add_newdoc('numpy._core', 'flatiter', ('base', + """ + A reference to the array that is iterated over. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(5) + >>> fl = x.flat + >>> fl.base is x + True + + """)) + + +add_newdoc('numpy._core', 'flatiter', ('coords', + """ + An N-dimensional tuple of current coordinates. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6).reshape(2, 3) + >>> fl = x.flat + >>> fl.coords + (0, 0) + >>> next(fl) + 0 + >>> fl.coords + (0, 1) + + """)) + + +add_newdoc('numpy._core', 'flatiter', ('index', + """ + Current flat index into the array. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6).reshape(2, 3) + >>> fl = x.flat + >>> fl.index + 0 + >>> next(fl) + 0 + >>> fl.index + 1 + + """)) + +# flatiter functions + +add_newdoc('numpy._core', 'flatiter', ('__array__', + """__array__(type=None) Get array from iterator + + """)) + + +add_newdoc('numpy._core', 'flatiter', ('copy', + """ + copy() + + Get a copy of the iterator as a 1-D array. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6).reshape(2, 3) + >>> x + array([[0, 1, 2], + [3, 4, 5]]) + >>> fl = x.flat + >>> fl.copy() + array([0, 1, 2, 3, 4, 5]) + + """)) + + +############################################################################### +# +# nditer +# +############################################################################### + +add_newdoc('numpy._core', 'nditer', + """ + nditer(op, flags=None, op_flags=None, op_dtypes=None, order='K', + casting='safe', op_axes=None, itershape=None, buffersize=0) + + Efficient multi-dimensional iterator object to iterate over arrays. + To get started using this object, see the + :ref:`introductory guide to array iteration `. + + Parameters + ---------- + op : ndarray or sequence of array_like + The array(s) to iterate over. + + flags : sequence of str, optional + Flags to control the behavior of the iterator. + + * ``buffered`` enables buffering when required. + * ``c_index`` causes a C-order index to be tracked. + * ``f_index`` causes a Fortran-order index to be tracked. + * ``multi_index`` causes a multi-index, or a tuple of indices + with one per iteration dimension, to be tracked. + * ``common_dtype`` causes all the operands to be converted to + a common data type, with copying or buffering as necessary. + * ``copy_if_overlap`` causes the iterator to determine if read + operands have overlap with write operands, and make temporary + copies as necessary to avoid overlap. False positives (needless + copying) are possible in some cases. + * ``delay_bufalloc`` delays allocation of the buffers until + a reset() call is made. Allows ``allocate`` operands to + be initialized before their values are copied into the buffers. + * ``external_loop`` causes the ``values`` given to be + one-dimensional arrays with multiple values instead of + zero-dimensional arrays. + * ``grow_inner`` allows the ``value`` array sizes to be made + larger than the buffer size when both ``buffered`` and + ``external_loop`` is used. + * ``ranged`` allows the iterator to be restricted to a sub-range + of the iterindex values. + * ``refs_ok`` enables iteration of reference types, such as + object arrays. + * ``reduce_ok`` enables iteration of ``readwrite`` operands + which are broadcasted, also known as reduction operands. + * ``zerosize_ok`` allows `itersize` to be zero. + op_flags : list of list of str, optional + This is a list of flags for each operand. At minimum, one of + ``readonly``, ``readwrite``, or ``writeonly`` must be specified. + + * ``readonly`` indicates the operand will only be read from. + * ``readwrite`` indicates the operand will be read from and written to. + * ``writeonly`` indicates the operand will only be written to. + * ``no_broadcast`` prevents the operand from being broadcasted. + * ``contig`` forces the operand data to be contiguous. + * ``aligned`` forces the operand data to be aligned. + * ``nbo`` forces the operand data to be in native byte order. + * ``copy`` allows a temporary read-only copy if required. + * ``updateifcopy`` allows a temporary read-write copy if required. + * ``allocate`` causes the array to be allocated if it is None + in the ``op`` parameter. + * ``no_subtype`` prevents an ``allocate`` operand from using a subtype. + * ``arraymask`` indicates that this operand is the mask to use + for selecting elements when writing to operands with the + 'writemasked' flag set. The iterator does not enforce this, + but when writing from a buffer back to the array, it only + copies those elements indicated by this mask. + * ``writemasked`` indicates that only elements where the chosen + ``arraymask`` operand is True will be written to. + * ``overlap_assume_elementwise`` can be used to mark operands that are + accessed only in the iterator order, to allow less conservative + copying when ``copy_if_overlap`` is present. + op_dtypes : dtype or tuple of dtype(s), optional + The required data type(s) of the operands. If copying or buffering + is enabled, the data will be converted to/from their original types. + order : {'C', 'F', 'A', 'K'}, optional + Controls the iteration order. 'C' means C order, 'F' means + Fortran order, 'A' means 'F' order if all the arrays are Fortran + contiguous, 'C' order otherwise, and 'K' means as close to the + order the array elements appear in memory as possible. This also + affects the element memory order of ``allocate`` operands, as they + are allocated to be compatible with iteration order. + Default is 'K'. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur when making a copy + or buffering. Setting this to 'unsafe' is not recommended, + as it can adversely affect accumulations. + + * 'no' means the data types should not be cast at all. + * 'equiv' means only byte-order changes are allowed. + * 'safe' means only casts which can preserve values are allowed. + * 'same_kind' means only safe casts or casts within a kind, + like float64 to float32, are allowed. + * 'unsafe' means any data conversions may be done. + op_axes : list of list of ints, optional + If provided, is a list of ints or None for each operands. + The list of axes for an operand is a mapping from the dimensions + of the iterator to the dimensions of the operand. A value of + -1 can be placed for entries, causing that dimension to be + treated as `newaxis`. + itershape : tuple of ints, optional + The desired shape of the iterator. This allows ``allocate`` operands + with a dimension mapped by op_axes not corresponding to a dimension + of a different operand to get a value not equal to 1 for that + dimension. + buffersize : int, optional + When buffering is enabled, controls the size of the temporary + buffers. Set to 0 for the default value. + + Attributes + ---------- + dtypes : tuple of dtype(s) + The data types of the values provided in `value`. This may be + different from the operand data types if buffering is enabled. + Valid only before the iterator is closed. + finished : bool + Whether the iteration over the operands is finished or not. + has_delayed_bufalloc : bool + If True, the iterator was created with the ``delay_bufalloc`` flag, + and no reset() function was called on it yet. + has_index : bool + If True, the iterator was created with either the ``c_index`` or + the ``f_index`` flag, and the property `index` can be used to + retrieve it. + has_multi_index : bool + If True, the iterator was created with the ``multi_index`` flag, + and the property `multi_index` can be used to retrieve it. + index + When the ``c_index`` or ``f_index`` flag was used, this property + provides access to the index. Raises a ValueError if accessed + and ``has_index`` is False. + iterationneedsapi : bool + Whether iteration requires access to the Python API, for example + if one of the operands is an object array. + iterindex : int + An index which matches the order of iteration. + itersize : int + Size of the iterator. + itviews + Structured view(s) of `operands` in memory, matching the reordered + and optimized iterator access pattern. Valid only before the iterator + is closed. + multi_index + When the ``multi_index`` flag was used, this property + provides access to the index. Raises a ValueError if accessed + accessed and ``has_multi_index`` is False. + ndim : int + The dimensions of the iterator. + nop : int + The number of iterator operands. + operands : tuple of operand(s) + The array(s) to be iterated over. Valid only before the iterator is + closed. + shape : tuple of ints + Shape tuple, the shape of the iterator. + value + Value of ``operands`` at current iteration. Normally, this is a + tuple of array scalars, but if the flag ``external_loop`` is used, + it is a tuple of one dimensional arrays. + + Notes + ----- + `nditer` supersedes `flatiter`. The iterator implementation behind + `nditer` is also exposed by the NumPy C API. + + The Python exposure supplies two iteration interfaces, one which follows + the Python iterator protocol, and another which mirrors the C-style + do-while pattern. The native Python approach is better in most cases, but + if you need the coordinates or index of an iterator, use the C-style pattern. + + Examples + -------- + Here is how we might write an ``iter_add`` function, using the + Python iterator protocol: + + >>> import numpy as np + + >>> def iter_add_py(x, y, out=None): + ... addop = np.add + ... it = np.nditer([x, y, out], [], + ... [['readonly'], ['readonly'], ['writeonly','allocate']]) + ... with it: + ... for (a, b, c) in it: + ... addop(a, b, out=c) + ... return it.operands[2] + + Here is the same function, but following the C-style pattern: + + >>> def iter_add(x, y, out=None): + ... addop = np.add + ... it = np.nditer([x, y, out], [], + ... [['readonly'], ['readonly'], ['writeonly','allocate']]) + ... with it: + ... while not it.finished: + ... addop(it[0], it[1], out=it[2]) + ... it.iternext() + ... return it.operands[2] + + Here is an example outer product function: + + >>> def outer_it(x, y, out=None): + ... mulop = np.multiply + ... it = np.nditer([x, y, out], ['external_loop'], + ... [['readonly'], ['readonly'], ['writeonly', 'allocate']], + ... op_axes=[list(range(x.ndim)) + [-1] * y.ndim, + ... [-1] * x.ndim + list(range(y.ndim)), + ... None]) + ... with it: + ... for (a, b, c) in it: + ... mulop(a, b, out=c) + ... return it.operands[2] + + >>> a = np.arange(2)+1 + >>> b = np.arange(3)+1 + >>> outer_it(a,b) + array([[1, 2, 3], + [2, 4, 6]]) + + Here is an example function which operates like a "lambda" ufunc: + + >>> def luf(lamdaexpr, *args, **kwargs): + ... '''luf(lambdaexpr, op1, ..., opn, out=None, order='K', casting='safe', buffersize=0)''' + ... nargs = len(args) + ... op = (kwargs.get('out',None),) + args + ... it = np.nditer(op, ['buffered','external_loop'], + ... [['writeonly','allocate','no_broadcast']] + + ... [['readonly','nbo','aligned']]*nargs, + ... order=kwargs.get('order','K'), + ... casting=kwargs.get('casting','safe'), + ... buffersize=kwargs.get('buffersize',0)) + ... while not it.finished: + ... it[0] = lamdaexpr(*it[1:]) + ... it.iternext() + ... return it.operands[0] + + >>> a = np.arange(5) + >>> b = np.ones(5) + >>> luf(lambda i,j:i*i + j/2, a, b) + array([ 0.5, 1.5, 4.5, 9.5, 16.5]) + + If operand flags ``"writeonly"`` or ``"readwrite"`` are used the + operands may be views into the original data with the + `WRITEBACKIFCOPY` flag. In this case `nditer` must be used as a + context manager or the `nditer.close` method must be called before + using the result. The temporary data will be written back to the + original data when the :meth:`~object.__exit__` function is called + but not before: + + >>> a = np.arange(6, dtype='i4')[::-2] + >>> with np.nditer(a, [], + ... [['writeonly', 'updateifcopy']], + ... casting='unsafe', + ... op_dtypes=[np.dtype('f4')]) as i: + ... x = i.operands[0] + ... x[:] = [-1, -2, -3] + ... # a still unchanged here + >>> a, x + (array([-1, -2, -3], dtype=int32), array([-1., -2., -3.], dtype=float32)) + + It is important to note that once the iterator is exited, dangling + references (like `x` in the example) may or may not share data with + the original data `a`. If writeback semantics were active, i.e. if + `x.base.flags.writebackifcopy` is `True`, then exiting the iterator + will sever the connection between `x` and `a`, writing to `x` will + no longer write to `a`. If writeback semantics are not active, then + `x.data` will still point at some part of `a.data`, and writing to + one will affect the other. + + Context management and the `close` method appeared in version 1.15.0. + + """) + +# nditer methods + +add_newdoc('numpy._core', 'nditer', ('copy', + """ + copy() + + Get a copy of the iterator in its current state. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(10) + >>> y = x + 1 + >>> it = np.nditer([x, y]) + >>> next(it) + (array(0), array(1)) + >>> it2 = it.copy() + >>> next(it2) + (array(1), array(2)) + + """)) + +add_newdoc('numpy._core', 'nditer', ('operands', + """ + operands[`Slice`] + + The array(s) to be iterated over. Valid only before the iterator is closed. + """)) + +add_newdoc('numpy._core', 'nditer', ('debug_print', + """ + debug_print() + + Print the current state of the `nditer` instance and debug info to stdout. + + """)) + +add_newdoc('numpy._core', 'nditer', ('enable_external_loop', + """ + enable_external_loop() + + When the "external_loop" was not used during construction, but + is desired, this modifies the iterator to behave as if the flag + was specified. + + """)) + +add_newdoc('numpy._core', 'nditer', ('iternext', + """ + iternext() + + Check whether iterations are left, and perform a single internal iteration + without returning the result. Used in the C-style pattern do-while + pattern. For an example, see `nditer`. + + Returns + ------- + iternext : bool + Whether or not there are iterations left. + + """)) + +add_newdoc('numpy._core', 'nditer', ('remove_axis', + """ + remove_axis(i, /) + + Removes axis `i` from the iterator. Requires that the flag "multi_index" + be enabled. + + """)) + +add_newdoc('numpy._core', 'nditer', ('remove_multi_index', + """ + remove_multi_index() + + When the "multi_index" flag was specified, this removes it, allowing + the internal iteration structure to be optimized further. + + """)) + +add_newdoc('numpy._core', 'nditer', ('reset', + """ + reset() + + Reset the iterator to its initial state. + + """)) + +add_newdoc('numpy._core', 'nested_iters', + """ + nested_iters(op, axes, flags=None, op_flags=None, op_dtypes=None, \ + order="K", casting="safe", buffersize=0) + + Create nditers for use in nested loops + + Create a tuple of `nditer` objects which iterate in nested loops over + different axes of the op argument. The first iterator is used in the + outermost loop, the last in the innermost loop. Advancing one will change + the subsequent iterators to point at its new element. + + Parameters + ---------- + op : ndarray or sequence of array_like + The array(s) to iterate over. + + axes : list of list of int + Each item is used as an "op_axes" argument to an nditer + + flags, op_flags, op_dtypes, order, casting, buffersize (optional) + See `nditer` parameters of the same name + + Returns + ------- + iters : tuple of nditer + An nditer for each item in `axes`, outermost first + + See Also + -------- + nditer + + Examples + -------- + + Basic usage. Note how y is the "flattened" version of + [a[:, 0, :], a[:, 1, 0], a[:, 2, :]] since we specified + the first iter's axes as [1] + + >>> import numpy as np + >>> a = np.arange(12).reshape(2, 3, 2) + >>> i, j = np.nested_iters(a, [[1], [0, 2]], flags=["multi_index"]) + >>> for x in i: + ... print(i.multi_index) + ... for y in j: + ... print('', j.multi_index, y) + (0,) + (0, 0) 0 + (0, 1) 1 + (1, 0) 6 + (1, 1) 7 + (1,) + (0, 0) 2 + (0, 1) 3 + (1, 0) 8 + (1, 1) 9 + (2,) + (0, 0) 4 + (0, 1) 5 + (1, 0) 10 + (1, 1) 11 + + """) + +add_newdoc('numpy._core', 'nditer', ('close', + """ + close() + + Resolve all writeback semantics in writeable operands. + + See Also + -------- + + :ref:`nditer-context-manager` + + """)) + + +############################################################################### +# +# broadcast +# +############################################################################### + +add_newdoc('numpy._core', 'broadcast', + """ + Produce an object that mimics broadcasting. + + Parameters + ---------- + in1, in2, ... : array_like + Input parameters. + + Returns + ------- + b : broadcast object + Broadcast the input parameters against one another, and + return an object that encapsulates the result. + Amongst others, it has ``shape`` and ``nd`` properties, and + may be used as an iterator. + + See Also + -------- + broadcast_arrays + broadcast_to + broadcast_shapes + + Examples + -------- + + Manually adding two vectors, using broadcasting: + + >>> import numpy as np + >>> x = np.array([[1], [2], [3]]) + >>> y = np.array([4, 5, 6]) + >>> b = np.broadcast(x, y) + + >>> out = np.empty(b.shape) + >>> out.flat = [u+v for (u,v) in b] + >>> out + array([[5., 6., 7.], + [6., 7., 8.], + [7., 8., 9.]]) + + Compare against built-in broadcasting: + + >>> x + y + array([[5, 6, 7], + [6, 7, 8], + [7, 8, 9]]) + + """) + +# attributes + +add_newdoc('numpy._core', 'broadcast', ('index', + """ + current index in broadcasted result + + Examples + -------- + + >>> import numpy as np + >>> x = np.array([[1], [2], [3]]) + >>> y = np.array([4, 5, 6]) + >>> b = np.broadcast(x, y) + >>> b.index + 0 + >>> next(b), next(b), next(b) + ((1, 4), (1, 5), (1, 6)) + >>> b.index + 3 + + """)) + +add_newdoc('numpy._core', 'broadcast', ('iters', + """ + tuple of iterators along ``self``'s "components." + + Returns a tuple of `numpy.flatiter` objects, one for each "component" + of ``self``. + + See Also + -------- + numpy.flatiter + + Examples + -------- + + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> y = np.array([[4], [5], [6]]) + >>> b = np.broadcast(x, y) + >>> row, col = b.iters + >>> next(row), next(col) + (1, 4) + + """)) + +add_newdoc('numpy._core', 'broadcast', ('ndim', + """ + Number of dimensions of broadcasted result. Alias for `nd`. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> y = np.array([[4], [5], [6]]) + >>> b = np.broadcast(x, y) + >>> b.ndim + 2 + + """)) + +add_newdoc('numpy._core', 'broadcast', ('nd', + """ + Number of dimensions of broadcasted result. For code intended for NumPy + 1.12.0 and later the more consistent `ndim` is preferred. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> y = np.array([[4], [5], [6]]) + >>> b = np.broadcast(x, y) + >>> b.nd + 2 + + """)) + +add_newdoc('numpy._core', 'broadcast', ('numiter', + """ + Number of iterators possessed by the broadcasted result. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> y = np.array([[4], [5], [6]]) + >>> b = np.broadcast(x, y) + >>> b.numiter + 2 + + """)) + +add_newdoc('numpy._core', 'broadcast', ('shape', + """ + Shape of broadcasted result. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> y = np.array([[4], [5], [6]]) + >>> b = np.broadcast(x, y) + >>> b.shape + (3, 3) + + """)) + +add_newdoc('numpy._core', 'broadcast', ('size', + """ + Total size of broadcasted result. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> y = np.array([[4], [5], [6]]) + >>> b = np.broadcast(x, y) + >>> b.size + 9 + + """)) + +add_newdoc('numpy._core', 'broadcast', ('reset', + """ + reset() + + Reset the broadcasted result's iterator(s). + + Parameters + ---------- + None + + Returns + ------- + None + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> y = np.array([[4], [5], [6]]) + >>> b = np.broadcast(x, y) + >>> b.index + 0 + >>> next(b), next(b), next(b) + ((1, 4), (2, 4), (3, 4)) + >>> b.index + 3 + >>> b.reset() + >>> b.index + 0 + + """)) + +############################################################################### +# +# numpy functions +# +############################################################################### + +add_newdoc('numpy._core.multiarray', 'array', + """ + array(object, dtype=None, *, copy=True, order='K', subok=False, ndmin=0, + like=None) + + Create an array. + + Parameters + ---------- + object : array_like + An array, any object exposing the array interface, an object whose + ``__array__`` method returns an array, or any (nested) sequence. + If object is a scalar, a 0-dimensional array containing object is + returned. + dtype : data-type, optional + The desired data-type for the array. If not given, NumPy will try to use + a default ``dtype`` that can represent the values (by applying promotion + rules when necessary.) + copy : bool, optional + If ``True`` (default), then the array data is copied. If ``None``, + a copy will only be made if ``__array__`` returns a copy, if obj is + a nested sequence, or if a copy is needed to satisfy any of the other + requirements (``dtype``, ``order``, etc.). Note that any copy of + the data is shallow, i.e., for arrays with object dtype, the new + array will point to the same objects. See Examples for `ndarray.copy`. + For ``False`` it raises a ``ValueError`` if a copy cannot be avoided. + Default: ``True``. + order : {'K', 'A', 'C', 'F'}, optional + Specify the memory layout of the array. If object is not an array, the + newly created array will be in C order (row major) unless 'F' is + specified, in which case it will be in Fortran order (column major). + If object is an array the following holds. + + ===== ========= =================================================== + order no copy copy=True + ===== ========= =================================================== + 'K' unchanged F & C order preserved, otherwise most similar order + 'A' unchanged F order if input is F and not C, otherwise C order + 'C' C order C order + 'F' F order F order + ===== ========= =================================================== + + When ``copy=None`` and a copy is made for other reasons, the result is + the same as if ``copy=True``, with some exceptions for 'A', see the + Notes section. The default order is 'K'. + subok : bool, optional + If True, then sub-classes will be passed-through, otherwise + the returned array will be forced to be a base-class array (default). + ndmin : int, optional + Specifies the minimum number of dimensions that the resulting + array should have. Ones will be prepended to the shape as + needed to meet this requirement. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + An array object satisfying the specified requirements. + + See Also + -------- + empty_like : Return an empty array with shape and type of input. + ones_like : Return an array of ones with shape and type of input. + zeros_like : Return an array of zeros with shape and type of input. + full_like : Return a new array with shape of input filled with value. + empty : Return a new uninitialized array. + ones : Return a new array setting values to one. + zeros : Return a new array setting values to zero. + full : Return a new array of given shape filled with value. + copy: Return an array copy of the given object. + + + Notes + ----- + When order is 'A' and ``object`` is an array in neither 'C' nor 'F' order, + and a copy is forced by a change in dtype, then the order of the result is + not necessarily 'C' as expected. This is likely a bug. + + Examples + -------- + >>> import numpy as np + >>> np.array([1, 2, 3]) + array([1, 2, 3]) + + Upcasting: + + >>> np.array([1, 2, 3.0]) + array([ 1., 2., 3.]) + + More than one dimension: + + >>> np.array([[1, 2], [3, 4]]) + array([[1, 2], + [3, 4]]) + + Minimum dimensions 2: + + >>> np.array([1, 2, 3], ndmin=2) + array([[1, 2, 3]]) + + Type provided: + + >>> np.array([1, 2, 3], dtype=complex) + array([ 1.+0.j, 2.+0.j, 3.+0.j]) + + Data-type consisting of more than one element: + + >>> x = np.array([(1,2),(3,4)],dtype=[('a','>> x['a'] + array([1, 3], dtype=int32) + + Creating an array from sub-classes: + + >>> np.array(np.asmatrix('1 2; 3 4')) + array([[1, 2], + [3, 4]]) + + >>> np.array(np.asmatrix('1 2; 3 4'), subok=True) + matrix([[1, 2], + [3, 4]]) + + """) + +add_newdoc('numpy._core.multiarray', 'asarray', + """ + asarray(a, dtype=None, order=None, *, device=None, copy=None, like=None) + + Convert the input to an array. + + Parameters + ---------- + a : array_like + Input data, in any form that can be converted to an array. This + includes lists, lists of tuples, tuples, tuples of tuples, tuples + of lists and ndarrays. + dtype : data-type, optional + By default, the data-type is inferred from the input data. + order : {'C', 'F', 'A', 'K'}, optional + Memory layout. 'A' and 'K' depend on the order of input array a. + 'C' row-major (C-style), + 'F' column-major (Fortran-style) memory representation. + 'A' (any) means 'F' if `a` is Fortran contiguous, 'C' otherwise + 'K' (keep) preserve input order + Defaults to 'K'. + device : str, optional + The device on which to place the created array. Default: ``None``. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + copy : bool, optional + If ``True``, then the object is copied. If ``None`` then the object is + copied only if needed, i.e. if ``__array__`` returns a copy, if obj + is a nested sequence, or if a copy is needed to satisfy any of + the other requirements (``dtype``, ``order``, etc.). + For ``False`` it raises a ``ValueError`` if a copy cannot be avoided. + Default: ``None``. + + .. versionadded:: 2.0.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Array interpretation of ``a``. No copy is performed if the input + is already an ndarray with matching dtype and order. If ``a`` is a + subclass of ndarray, a base class ndarray is returned. + + See Also + -------- + asanyarray : Similar function which passes through subclasses. + ascontiguousarray : Convert input to a contiguous array. + asfortranarray : Convert input to an ndarray with column-major + memory order. + asarray_chkfinite : Similar function which checks input for NaNs and Infs. + fromiter : Create an array from an iterator. + fromfunction : Construct an array by executing a function on grid + positions. + + Examples + -------- + Convert a list into an array: + + >>> a = [1, 2] + >>> import numpy as np + >>> np.asarray(a) + array([1, 2]) + + Existing arrays are not copied: + + >>> a = np.array([1, 2]) + >>> np.asarray(a) is a + True + + If `dtype` is set, array is copied only if dtype does not match: + + >>> a = np.array([1, 2], dtype=np.float32) + >>> np.shares_memory(np.asarray(a, dtype=np.float32), a) + True + >>> np.shares_memory(np.asarray(a, dtype=np.float64), a) + False + + Contrary to `asanyarray`, ndarray subclasses are not passed through: + + >>> issubclass(np.recarray, np.ndarray) + True + >>> a = np.array([(1., 2), (3., 4)], dtype='f4,i4').view(np.recarray) + >>> np.asarray(a) is a + False + >>> np.asanyarray(a) is a + True + + """) + +add_newdoc('numpy._core.multiarray', 'asanyarray', + """ + asanyarray(a, dtype=None, order=None, *, device=None, copy=None, like=None) + + Convert the input to an ndarray, but pass ndarray subclasses through. + + Parameters + ---------- + a : array_like + Input data, in any form that can be converted to an array. This + includes scalars, lists, lists of tuples, tuples, tuples of tuples, + tuples of lists, and ndarrays. + dtype : data-type, optional + By default, the data-type is inferred from the input data. + order : {'C', 'F', 'A', 'K'}, optional + Memory layout. 'A' and 'K' depend on the order of input array a. + 'C' row-major (C-style), + 'F' column-major (Fortran-style) memory representation. + 'A' (any) means 'F' if `a` is Fortran contiguous, 'C' otherwise + 'K' (keep) preserve input order + Defaults to 'C'. + device : str, optional + The device on which to place the created array. Default: ``None``. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.1.0 + + copy : bool, optional + If ``True``, then the object is copied. If ``None`` then the object is + copied only if needed, i.e. if ``__array__`` returns a copy, if obj + is a nested sequence, or if a copy is needed to satisfy any of + the other requirements (``dtype``, ``order``, etc.). + For ``False`` it raises a ``ValueError`` if a copy cannot be avoided. + Default: ``None``. + + .. versionadded:: 2.1.0 + + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray or an ndarray subclass + Array interpretation of `a`. If `a` is an ndarray or a subclass + of ndarray, it is returned as-is and no copy is performed. + + See Also + -------- + asarray : Similar function which always returns ndarrays. + ascontiguousarray : Convert input to a contiguous array. + asfortranarray : Convert input to an ndarray with column-major + memory order. + asarray_chkfinite : Similar function which checks input for NaNs and + Infs. + fromiter : Create an array from an iterator. + fromfunction : Construct an array by executing a function on grid + positions. + + Examples + -------- + Convert a list into an array: + + >>> a = [1, 2] + >>> import numpy as np + >>> np.asanyarray(a) + array([1, 2]) + + Instances of `ndarray` subclasses are passed through as-is: + + >>> a = np.array([(1., 2), (3., 4)], dtype='f4,i4').view(np.recarray) + >>> np.asanyarray(a) is a + True + + """) + +add_newdoc('numpy._core.multiarray', 'ascontiguousarray', + """ + ascontiguousarray(a, dtype=None, *, like=None) + + Return a contiguous array (ndim >= 1) in memory (C order). + + Parameters + ---------- + a : array_like + Input array. + dtype : str or dtype object, optional + Data-type of returned array. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Contiguous array of same shape and content as `a`, with type `dtype` + if specified. + + See Also + -------- + asfortranarray : Convert input to an ndarray with column-major + memory order. + require : Return an ndarray that satisfies requirements. + ndarray.flags : Information about the memory layout of the array. + + Examples + -------- + Starting with a Fortran-contiguous array: + + >>> import numpy as np + >>> x = np.ones((2, 3), order='F') + >>> x.flags['F_CONTIGUOUS'] + True + + Calling ``ascontiguousarray`` makes a C-contiguous copy: + + >>> y = np.ascontiguousarray(x) + >>> y.flags['C_CONTIGUOUS'] + True + >>> np.may_share_memory(x, y) + False + + Now, starting with a C-contiguous array: + + >>> x = np.ones((2, 3), order='C') + >>> x.flags['C_CONTIGUOUS'] + True + + Then, calling ``ascontiguousarray`` returns the same object: + + >>> y = np.ascontiguousarray(x) + >>> x is y + True + + Note: This function returns an array with at least one-dimension (1-d) + so it will not preserve 0-d arrays. + + """) + +add_newdoc('numpy._core.multiarray', 'asfortranarray', + """ + asfortranarray(a, dtype=None, *, like=None) + + Return an array (ndim >= 1) laid out in Fortran order in memory. + + Parameters + ---------- + a : array_like + Input array. + dtype : str or dtype object, optional + By default, the data-type is inferred from the input data. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + The input `a` in Fortran, or column-major, order. + + See Also + -------- + ascontiguousarray : Convert input to a contiguous (C order) array. + asanyarray : Convert input to an ndarray with either row or + column-major memory order. + require : Return an ndarray that satisfies requirements. + ndarray.flags : Information about the memory layout of the array. + + Examples + -------- + Starting with a C-contiguous array: + + >>> import numpy as np + >>> x = np.ones((2, 3), order='C') + >>> x.flags['C_CONTIGUOUS'] + True + + Calling ``asfortranarray`` makes a Fortran-contiguous copy: + + >>> y = np.asfortranarray(x) + >>> y.flags['F_CONTIGUOUS'] + True + >>> np.may_share_memory(x, y) + False + + Now, starting with a Fortran-contiguous array: + + >>> x = np.ones((2, 3), order='F') + >>> x.flags['F_CONTIGUOUS'] + True + + Then, calling ``asfortranarray`` returns the same object: + + >>> y = np.asfortranarray(x) + >>> x is y + True + + Note: This function returns an array with at least one-dimension (1-d) + so it will not preserve 0-d arrays. + + """) + +add_newdoc('numpy._core.multiarray', 'empty', + """ + empty(shape, dtype=float, order='C', *, device=None, like=None) + + Return a new array of given shape and type, without initializing entries. + + Parameters + ---------- + shape : int or tuple of int + Shape of the empty array, e.g., ``(2, 3)`` or ``2``. + dtype : data-type, optional + Desired output data-type for the array, e.g, `numpy.int8`. Default is + `numpy.float64`. + order : {'C', 'F'}, optional, default: 'C' + Whether to store multi-dimensional data in row-major + (C-style) or column-major (Fortran-style) order in + memory. + device : str, optional + The device on which to place the created array. Default: ``None``. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Array of uninitialized (arbitrary) data of the given shape, dtype, and + order. Object arrays will be initialized to None. + + See Also + -------- + empty_like : Return an empty array with shape and type of input. + ones : Return a new array setting values to one. + zeros : Return a new array setting values to zero. + full : Return a new array of given shape filled with value. + + Notes + ----- + Unlike other array creation functions (e.g. `zeros`, `ones`, `full`), + `empty` does not initialize the values of the array, and may therefore be + marginally faster. However, the values stored in the newly allocated array + are arbitrary. For reproducible behavior, be sure to set each element of + the array before reading. + + Examples + -------- + >>> import numpy as np + >>> np.empty([2, 2]) + array([[ -9.74499359e+001, 6.69583040e-309], + [ 2.13182611e-314, 3.06959433e-309]]) #uninitialized + + >>> np.empty([2, 2], dtype=int) + array([[-1073741821, -1067949133], + [ 496041986, 19249760]]) #uninitialized + + """) + +add_newdoc('numpy._core.multiarray', 'scalar', + """ + scalar(dtype, obj) + + Return a new scalar array of the given type initialized with obj. + + This function is meant mainly for pickle support. `dtype` must be a + valid data-type descriptor. If `dtype` corresponds to an object + descriptor, then `obj` can be any object, otherwise `obj` must be a + string. If `obj` is not given, it will be interpreted as None for object + type and as zeros for all other types. + + """) + +add_newdoc('numpy._core.multiarray', 'zeros', + """ + zeros(shape, dtype=float, order='C', *, like=None) + + Return a new array of given shape and type, filled with zeros. + + Parameters + ---------- + shape : int or tuple of ints + Shape of the new array, e.g., ``(2, 3)`` or ``2``. + dtype : data-type, optional + The desired data-type for the array, e.g., `numpy.int8`. Default is + `numpy.float64`. + order : {'C', 'F'}, optional, default: 'C' + Whether to store multi-dimensional data in row-major + (C-style) or column-major (Fortran-style) order in + memory. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Array of zeros with the given shape, dtype, and order. + + See Also + -------- + zeros_like : Return an array of zeros with shape and type of input. + empty : Return a new uninitialized array. + ones : Return a new array setting values to one. + full : Return a new array of given shape filled with value. + + Examples + -------- + >>> import numpy as np + >>> np.zeros(5) + array([ 0., 0., 0., 0., 0.]) + + >>> np.zeros((5,), dtype=int) + array([0, 0, 0, 0, 0]) + + >>> np.zeros((2, 1)) + array([[ 0.], + [ 0.]]) + + >>> s = (2,2) + >>> np.zeros(s) + array([[ 0., 0.], + [ 0., 0.]]) + + >>> np.zeros((2,), dtype=[('x', 'i4'), ('y', 'i4')]) # custom dtype + array([(0, 0), (0, 0)], + dtype=[('x', '>> import numpy as np + >>> np.fromstring('1 2', dtype=int, sep=' ') + array([1, 2]) + >>> np.fromstring('1, 2', dtype=int, sep=',') + array([1, 2]) + + """) + +add_newdoc('numpy._core.multiarray', 'compare_chararrays', + """ + compare_chararrays(a1, a2, cmp, rstrip) + + Performs element-wise comparison of two string arrays using the + comparison operator specified by `cmp`. + + Parameters + ---------- + a1, a2 : array_like + Arrays to be compared. + cmp : {"<", "<=", "==", ">=", ">", "!="} + Type of comparison. + rstrip : Boolean + If True, the spaces at the end of Strings are removed before the comparison. + + Returns + ------- + out : ndarray + The output array of type Boolean with the same shape as a and b. + + Raises + ------ + ValueError + If `cmp` is not valid. + TypeError + If at least one of `a` or `b` is a non-string array + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["a", "b", "cde"]) + >>> b = np.array(["a", "a", "dec"]) + >>> np.char.compare_chararrays(a, b, ">", True) + array([False, True, False]) + + """) + +add_newdoc('numpy._core.multiarray', 'fromiter', + """ + fromiter(iter, dtype, count=-1, *, like=None) + + Create a new 1-dimensional array from an iterable object. + + Parameters + ---------- + iter : iterable object + An iterable object providing data for the array. + dtype : data-type + The data-type of the returned array. + + .. versionchanged:: 1.23 + Object and subarray dtypes are now supported (note that the final + result is not 1-D for a subarray dtype). + + count : int, optional + The number of items to read from *iterable*. The default is -1, + which means all data is read. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + The output array. + + Notes + ----- + Specify `count` to improve performance. It allows ``fromiter`` to + pre-allocate the output array, instead of resizing it on demand. + + Examples + -------- + >>> import numpy as np + >>> iterable = (x*x for x in range(5)) + >>> np.fromiter(iterable, float) + array([ 0., 1., 4., 9., 16.]) + + A carefully constructed subarray dtype will lead to higher dimensional + results: + + >>> iterable = ((x+1, x+2) for x in range(5)) + >>> np.fromiter(iterable, dtype=np.dtype((int, 2))) + array([[1, 2], + [2, 3], + [3, 4], + [4, 5], + [5, 6]]) + + + """) + +add_newdoc('numpy._core.multiarray', 'fromfile', + """ + fromfile(file, dtype=float, count=-1, sep='', offset=0, *, like=None) + + Construct an array from data in a text or binary file. + + A highly efficient way of reading binary data with a known data-type, + as well as parsing simply formatted text files. Data written using the + `tofile` method can be read using this function. + + Parameters + ---------- + file : file or str or Path + Open file object or filename. + dtype : data-type + Data type of the returned array. + For binary files, it is used to determine the size and byte-order + of the items in the file. + Most builtin numeric types are supported and extension types may be supported. + count : int + Number of items to read. ``-1`` means all items (i.e., the complete + file). + sep : str + Separator between items if file is a text file. + Empty ("") separator means the file should be treated as binary. + Spaces (" ") in the separator match zero or more whitespace characters. + A separator consisting only of spaces must match at least one + whitespace. + offset : int + The offset (in bytes) from the file's current position. Defaults to 0. + Only permitted for binary files. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + See also + -------- + load, save + ndarray.tofile + loadtxt : More flexible way of loading data from a text file. + + Notes + ----- + Do not rely on the combination of `tofile` and `fromfile` for + data storage, as the binary files generated are not platform + independent. In particular, no byte-order or data-type information is + saved. Data can be stored in the platform independent ``.npy`` format + using `save` and `load` instead. + + Examples + -------- + Construct an ndarray: + + >>> import numpy as np + >>> dt = np.dtype([('time', [('min', np.int64), ('sec', np.int64)]), + ... ('temp', float)]) + >>> x = np.zeros((1,), dtype=dt) + >>> x['time']['min'] = 10; x['temp'] = 98.25 + >>> x + array([((10, 0), 98.25)], + dtype=[('time', [('min', '>> import tempfile + >>> fname = tempfile.mkstemp()[1] + >>> x.tofile(fname) + + Read the raw data from disk: + + >>> np.fromfile(fname, dtype=dt) + array([((10, 0), 98.25)], + dtype=[('time', [('min', '>> np.save(fname, x) + >>> np.load(fname + '.npy') + array([((10, 0), 98.25)], + dtype=[('time', [('min', '>> dt = np.dtype(int) + >>> dt = dt.newbyteorder('>') + >>> np.frombuffer(buf, dtype=dt) # doctest: +SKIP + + The data of the resulting array will not be byteswapped, but will be + interpreted correctly. + + This function creates a view into the original object. This should be safe + in general, but it may make sense to copy the result when the original + object is mutable or untrusted. + + Examples + -------- + >>> import numpy as np + >>> s = b'hello world' + >>> np.frombuffer(s, dtype='S1', count=5, offset=6) + array([b'w', b'o', b'r', b'l', b'd'], dtype='|S1') + + >>> np.frombuffer(b'\\x01\\x02', dtype=np.uint8) + array([1, 2], dtype=uint8) + >>> np.frombuffer(b'\\x01\\x02\\x03\\x04\\x05', dtype=np.uint8, count=3) + array([1, 2, 3], dtype=uint8) + + """) + +add_newdoc('numpy._core.multiarray', 'from_dlpack', + """ + from_dlpack(x, /, *, device=None, copy=None) + + Create a NumPy array from an object implementing the ``__dlpack__`` + protocol. Generally, the returned NumPy array is a view of the input + object. See [1]_ and [2]_ for more details. + + Parameters + ---------- + x : object + A Python object that implements the ``__dlpack__`` and + ``__dlpack_device__`` methods. + device : device, optional + Device on which to place the created array. Default: ``None``. + Must be ``"cpu"`` if passed which may allow importing an array + that is not already CPU available. + copy : bool, optional + Boolean indicating whether or not to copy the input. If ``True``, + the copy will be made. If ``False``, the function will never copy, + and will raise ``BufferError`` in case a copy is deemed necessary. + Passing it requests a copy from the exporter who may or may not + implement the capability. + If ``None``, the function will reuse the existing memory buffer if + possible and copy otherwise. Default: ``None``. + + + Returns + ------- + out : ndarray + + References + ---------- + .. [1] Array API documentation, + https://data-apis.org/array-api/latest/design_topics/data_interchange.html#syntax-for-data-interchange-with-dlpack + + .. [2] Python specification for DLPack, + https://dmlc.github.io/dlpack/latest/python_spec.html + + Examples + -------- + >>> import torch # doctest: +SKIP + >>> x = torch.arange(10) # doctest: +SKIP + >>> # create a view of the torch tensor "x" in NumPy + >>> y = np.from_dlpack(x) # doctest: +SKIP + """) + +add_newdoc('numpy._core.multiarray', 'correlate', + """cross_correlate(a,v, mode=0)""") + +add_newdoc('numpy._core.multiarray', 'arange', + """ + arange([start,] stop[, step,], dtype=None, *, device=None, like=None) + + Return evenly spaced values within a given interval. + + ``arange`` can be called with a varying number of positional arguments: + + * ``arange(stop)``: Values are generated within the half-open interval + ``[0, stop)`` (in other words, the interval including `start` but + excluding `stop`). + * ``arange(start, stop)``: Values are generated within the half-open + interval ``[start, stop)``. + * ``arange(start, stop, step)`` Values are generated within the half-open + interval ``[start, stop)``, with spacing between values given by + ``step``. + + For integer arguments the function is roughly equivalent to the Python + built-in :py:class:`range`, but returns an ndarray rather than a ``range`` + instance. + + When using a non-integer step, such as 0.1, it is often better to use + `numpy.linspace`. + + See the Warning sections below for more information. + + Parameters + ---------- + start : integer or real, optional + Start of interval. The interval includes this value. The default + start value is 0. + stop : integer or real + End of interval. The interval does not include this value, except + in some cases where `step` is not an integer and floating point + round-off affects the length of `out`. + step : integer or real, optional + Spacing between values. For any output `out`, this is the distance + between two adjacent values, ``out[i+1] - out[i]``. The default + step size is 1. If `step` is specified as a position argument, + `start` must also be given. + dtype : dtype, optional + The type of the output array. If `dtype` is not given, infer the data + type from the other input arguments. + device : str, optional + The device on which to place the created array. Default: ``None``. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + arange : ndarray + Array of evenly spaced values. + + For floating point arguments, the length of the result is + ``ceil((stop - start)/step)``. Because of floating point overflow, + this rule may result in the last element of `out` being greater + than `stop`. + + Warnings + -------- + The length of the output might not be numerically stable. + + Another stability issue is due to the internal implementation of + `numpy.arange`. + The actual step value used to populate the array is + ``dtype(start + step) - dtype(start)`` and not `step`. Precision loss + can occur here, due to casting or due to using floating points when + `start` is much larger than `step`. This can lead to unexpected + behaviour. For example:: + + >>> np.arange(0, 5, 0.5, dtype=int) + array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]) + >>> np.arange(-3, 3, 0.5, dtype=int) + array([-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8]) + + In such cases, the use of `numpy.linspace` should be preferred. + + The built-in :py:class:`range` generates :std:doc:`Python built-in integers + that have arbitrary size `, while `numpy.arange` + produces `numpy.int32` or `numpy.int64` numbers. This may result in + incorrect results for large integer values:: + + >>> power = 40 + >>> modulo = 10000 + >>> x1 = [(n ** power) % modulo for n in range(8)] + >>> x2 = [(n ** power) % modulo for n in np.arange(8)] + >>> print(x1) + [0, 1, 7776, 8801, 6176, 625, 6576, 4001] # correct + >>> print(x2) + [0, 1, 7776, 7185, 0, 5969, 4816, 3361] # incorrect + + See Also + -------- + numpy.linspace : Evenly spaced numbers with careful handling of endpoints. + numpy.ogrid: Arrays of evenly spaced numbers in N-dimensions. + numpy.mgrid: Grid-shaped arrays of evenly spaced numbers in N-dimensions. + :ref:`how-to-partition` + + Examples + -------- + >>> import numpy as np + >>> np.arange(3) + array([0, 1, 2]) + >>> np.arange(3.0) + array([ 0., 1., 2.]) + >>> np.arange(3,7) + array([3, 4, 5, 6]) + >>> np.arange(3,7,2) + array([3, 5]) + + """) + +add_newdoc('numpy._core.multiarray', '_get_ndarray_c_version', + """_get_ndarray_c_version() + + Return the compile time NPY_VERSION (formerly called NDARRAY_VERSION) number. + + """) + +add_newdoc('numpy._core.multiarray', '_reconstruct', + """_reconstruct(subtype, shape, dtype) + + Construct an empty array. Used by Pickles. + + """) + +add_newdoc('numpy._core.multiarray', 'promote_types', + """ + promote_types(type1, type2) + + Returns the data type with the smallest size and smallest scalar + kind to which both ``type1`` and ``type2`` may be safely cast. + The returned data type is always considered "canonical", this mainly + means that the promoted dtype will always be in native byte order. + + This function is symmetric, but rarely associative. + + Parameters + ---------- + type1 : dtype or dtype specifier + First data type. + type2 : dtype or dtype specifier + Second data type. + + Returns + ------- + out : dtype + The promoted data type. + + Notes + ----- + Please see `numpy.result_type` for additional information about promotion. + + Starting in NumPy 1.9, promote_types function now returns a valid string + length when given an integer or float dtype as one argument and a string + dtype as another argument. Previously it always returned the input string + dtype, even if it wasn't long enough to store the max integer/float value + converted to a string. + + .. versionchanged:: 1.23.0 + + NumPy now supports promotion for more structured dtypes. It will now + remove unnecessary padding from a structure dtype and promote included + fields individually. + + See Also + -------- + result_type, dtype, can_cast + + Examples + -------- + >>> import numpy as np + >>> np.promote_types('f4', 'f8') + dtype('float64') + + >>> np.promote_types('i8', 'f4') + dtype('float64') + + >>> np.promote_types('>i8', '>> np.promote_types('i4', 'S8') + dtype('S11') + + An example of a non-associative case: + + >>> p = np.promote_types + >>> p('S', p('i1', 'u1')) + dtype('S6') + >>> p(p('S', 'i1'), 'u1') + dtype('S4') + + """) + +add_newdoc('numpy._core.multiarray', 'c_einsum', + """ + c_einsum(subscripts, *operands, out=None, dtype=None, order='K', + casting='safe') + + *This documentation shadows that of the native python implementation of the `einsum` function, + except all references and examples related to the `optimize` argument (v 0.12.0) have been removed.* + + Evaluates the Einstein summation convention on the operands. + + Using the Einstein summation convention, many common multi-dimensional, + linear algebraic array operations can be represented in a simple fashion. + In *implicit* mode `einsum` computes these values. + + In *explicit* mode, `einsum` provides further flexibility to compute + other array operations that might not be considered classical Einstein + summation operations, by disabling, or forcing summation over specified + subscript labels. + + See the notes and examples for clarification. + + Parameters + ---------- + subscripts : str + Specifies the subscripts for summation as comma separated list of + subscript labels. An implicit (classical Einstein summation) + calculation is performed unless the explicit indicator '->' is + included as well as subscript labels of the precise output form. + operands : list of array_like + These are the arrays for the operation. + out : ndarray, optional + If provided, the calculation is done into this array. + dtype : {data-type, None}, optional + If provided, forces the calculation to use the data type specified. + Note that you may have to also give a more liberal `casting` + parameter to allow the conversions. Default is None. + order : {'C', 'F', 'A', 'K'}, optional + Controls the memory layout of the output. 'C' means it should + be C contiguous. 'F' means it should be Fortran contiguous, + 'A' means it should be 'F' if the inputs are all 'F', 'C' otherwise. + 'K' means it should be as close to the layout of the inputs as + is possible, including arbitrarily permuted axes. + Default is 'K'. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. Setting this to + 'unsafe' is not recommended, as it can adversely affect accumulations. + + * 'no' means the data types should not be cast at all. + * 'equiv' means only byte-order changes are allowed. + * 'safe' means only casts which can preserve values are allowed. + * 'same_kind' means only safe casts or casts within a kind, + like float64 to float32, are allowed. + * 'unsafe' means any data conversions may be done. + + Default is 'safe'. + optimize : {False, True, 'greedy', 'optimal'}, optional + Controls if intermediate optimization should occur. No optimization + will occur if False and True will default to the 'greedy' algorithm. + Also accepts an explicit contraction list from the ``np.einsum_path`` + function. See ``np.einsum_path`` for more details. Defaults to False. + + Returns + ------- + output : ndarray + The calculation based on the Einstein summation convention. + + See Also + -------- + einsum_path, dot, inner, outer, tensordot, linalg.multi_dot + + Notes + ----- + The Einstein summation convention can be used to compute + many multi-dimensional, linear algebraic array operations. `einsum` + provides a succinct way of representing these. + + A non-exhaustive list of these operations, + which can be computed by `einsum`, is shown below along with examples: + + * Trace of an array, :py:func:`numpy.trace`. + * Return a diagonal, :py:func:`numpy.diag`. + * Array axis summations, :py:func:`numpy.sum`. + * Transpositions and permutations, :py:func:`numpy.transpose`. + * Matrix multiplication and dot product, :py:func:`numpy.matmul` :py:func:`numpy.dot`. + * Vector inner and outer products, :py:func:`numpy.inner` :py:func:`numpy.outer`. + * Broadcasting, element-wise and scalar multiplication, :py:func:`numpy.multiply`. + * Tensor contractions, :py:func:`numpy.tensordot`. + * Chained array operations, in efficient calculation order, :py:func:`numpy.einsum_path`. + + The subscripts string is a comma-separated list of subscript labels, + where each label refers to a dimension of the corresponding operand. + Whenever a label is repeated it is summed, so ``np.einsum('i,i', a, b)`` + is equivalent to :py:func:`np.inner(a,b) `. If a label + appears only once, it is not summed, so ``np.einsum('i', a)`` produces a + view of ``a`` with no changes. A further example ``np.einsum('ij,jk', a, b)`` + describes traditional matrix multiplication and is equivalent to + :py:func:`np.matmul(a,b) `. Repeated subscript labels in one + operand take the diagonal. For example, ``np.einsum('ii', a)`` is equivalent + to :py:func:`np.trace(a) `. + + In *implicit mode*, the chosen subscripts are important + since the axes of the output are reordered alphabetically. This + means that ``np.einsum('ij', a)`` doesn't affect a 2D array, while + ``np.einsum('ji', a)`` takes its transpose. Additionally, + ``np.einsum('ij,jk', a, b)`` returns a matrix multiplication, while, + ``np.einsum('ij,jh', a, b)`` returns the transpose of the + multiplication since subscript 'h' precedes subscript 'i'. + + In *explicit mode* the output can be directly controlled by + specifying output subscript labels. This requires the + identifier '->' as well as the list of output subscript labels. + This feature increases the flexibility of the function since + summing can be disabled or forced when required. The call + ``np.einsum('i->', a)`` is like :py:func:`np.sum(a) ` + if ``a`` is a 1-D array, and ``np.einsum('ii->i', a)`` + is like :py:func:`np.diag(a) ` if ``a`` is a square 2-D array. + The difference is that `einsum` does not allow broadcasting by default. + Additionally ``np.einsum('ij,jh->ih', a, b)`` directly specifies the + order of the output subscript labels and therefore returns matrix + multiplication, unlike the example above in implicit mode. + + To enable and control broadcasting, use an ellipsis. Default + NumPy-style broadcasting is done by adding an ellipsis + to the left of each term, like ``np.einsum('...ii->...i', a)``. + ``np.einsum('...i->...', a)`` is like + :py:func:`np.sum(a, axis=-1) ` for array ``a`` of any shape. + To take the trace along the first and last axes, + you can do ``np.einsum('i...i', a)``, or to do a matrix-matrix + product with the left-most indices instead of rightmost, one can do + ``np.einsum('ij...,jk...->ik...', a, b)``. + + When there is only one operand, no axes are summed, and no output + parameter is provided, a view into the operand is returned instead + of a new array. Thus, taking the diagonal as ``np.einsum('ii->i', a)`` + produces a view (changed in version 1.10.0). + + `einsum` also provides an alternative way to provide the subscripts + and operands as ``einsum(op0, sublist0, op1, sublist1, ..., [sublistout])``. + If the output shape is not provided in this format `einsum` will be + calculated in implicit mode, otherwise it will be performed explicitly. + The examples below have corresponding `einsum` calls with the two + parameter methods. + + Views returned from einsum are now writeable whenever the input array + is writeable. For example, ``np.einsum('ijk...->kji...', a)`` will now + have the same effect as :py:func:`np.swapaxes(a, 0, 2) ` + and ``np.einsum('ii->i', a)`` will return a writeable view of the diagonal + of a 2D array. + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(25).reshape(5,5) + >>> b = np.arange(5) + >>> c = np.arange(6).reshape(2,3) + + Trace of a matrix: + + >>> np.einsum('ii', a) + 60 + >>> np.einsum(a, [0,0]) + 60 + >>> np.trace(a) + 60 + + Extract the diagonal (requires explicit form): + + >>> np.einsum('ii->i', a) + array([ 0, 6, 12, 18, 24]) + >>> np.einsum(a, [0,0], [0]) + array([ 0, 6, 12, 18, 24]) + >>> np.diag(a) + array([ 0, 6, 12, 18, 24]) + + Sum over an axis (requires explicit form): + + >>> np.einsum('ij->i', a) + array([ 10, 35, 60, 85, 110]) + >>> np.einsum(a, [0,1], [0]) + array([ 10, 35, 60, 85, 110]) + >>> np.sum(a, axis=1) + array([ 10, 35, 60, 85, 110]) + + For higher dimensional arrays summing a single axis can be done with ellipsis: + + >>> np.einsum('...j->...', a) + array([ 10, 35, 60, 85, 110]) + >>> np.einsum(a, [Ellipsis,1], [Ellipsis]) + array([ 10, 35, 60, 85, 110]) + + Compute a matrix transpose, or reorder any number of axes: + + >>> np.einsum('ji', c) + array([[0, 3], + [1, 4], + [2, 5]]) + >>> np.einsum('ij->ji', c) + array([[0, 3], + [1, 4], + [2, 5]]) + >>> np.einsum(c, [1,0]) + array([[0, 3], + [1, 4], + [2, 5]]) + >>> np.transpose(c) + array([[0, 3], + [1, 4], + [2, 5]]) + + Vector inner products: + + >>> np.einsum('i,i', b, b) + 30 + >>> np.einsum(b, [0], b, [0]) + 30 + >>> np.inner(b,b) + 30 + + Matrix vector multiplication: + + >>> np.einsum('ij,j', a, b) + array([ 30, 80, 130, 180, 230]) + >>> np.einsum(a, [0,1], b, [1]) + array([ 30, 80, 130, 180, 230]) + >>> np.dot(a, b) + array([ 30, 80, 130, 180, 230]) + >>> np.einsum('...j,j', a, b) + array([ 30, 80, 130, 180, 230]) + + Broadcasting and scalar multiplication: + + >>> np.einsum('..., ...', 3, c) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + >>> np.einsum(',ij', 3, c) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + >>> np.einsum(3, [Ellipsis], c, [Ellipsis]) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + >>> np.multiply(3, c) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + + Vector outer product: + + >>> np.einsum('i,j', np.arange(2)+1, b) + array([[0, 1, 2, 3, 4], + [0, 2, 4, 6, 8]]) + >>> np.einsum(np.arange(2)+1, [0], b, [1]) + array([[0, 1, 2, 3, 4], + [0, 2, 4, 6, 8]]) + >>> np.outer(np.arange(2)+1, b) + array([[0, 1, 2, 3, 4], + [0, 2, 4, 6, 8]]) + + Tensor contraction: + + >>> a = np.arange(60.).reshape(3,4,5) + >>> b = np.arange(24.).reshape(4,3,2) + >>> np.einsum('ijk,jil->kl', a, b) + array([[ 4400., 4730.], + [ 4532., 4874.], + [ 4664., 5018.], + [ 4796., 5162.], + [ 4928., 5306.]]) + >>> np.einsum(a, [0,1,2], b, [1,0,3], [2,3]) + array([[ 4400., 4730.], + [ 4532., 4874.], + [ 4664., 5018.], + [ 4796., 5162.], + [ 4928., 5306.]]) + >>> np.tensordot(a,b, axes=([1,0],[0,1])) + array([[ 4400., 4730.], + [ 4532., 4874.], + [ 4664., 5018.], + [ 4796., 5162.], + [ 4928., 5306.]]) + + Writeable returned arrays (since version 1.10.0): + + >>> a = np.zeros((3, 3)) + >>> np.einsum('ii->i', a)[:] = 1 + >>> a + array([[ 1., 0., 0.], + [ 0., 1., 0.], + [ 0., 0., 1.]]) + + Example of ellipsis use: + + >>> a = np.arange(6).reshape((3,2)) + >>> b = np.arange(12).reshape((4,3)) + >>> np.einsum('ki,jk->ij', a, b) + array([[10, 28, 46, 64], + [13, 40, 67, 94]]) + >>> np.einsum('ki,...k->i...', a, b) + array([[10, 28, 46, 64], + [13, 40, 67, 94]]) + >>> np.einsum('k...,jk', a, b) + array([[10, 28, 46, 64], + [13, 40, 67, 94]]) + + """) + + +############################################################################## +# +# Documentation for ndarray attributes and methods +# +############################################################################## + + +############################################################################## +# +# ndarray object +# +############################################################################## + + +add_newdoc('numpy._core.multiarray', 'ndarray', + """ + ndarray(shape, dtype=float, buffer=None, offset=0, + strides=None, order=None) + + An array object represents a multidimensional, homogeneous array + of fixed-size items. An associated data-type object describes the + format of each element in the array (its byte-order, how many bytes it + occupies in memory, whether it is an integer, a floating point number, + or something else, etc.) + + Arrays should be constructed using `array`, `zeros` or `empty` (refer + to the See Also section below). The parameters given here refer to + a low-level method (`ndarray(...)`) for instantiating an array. + + For more information, refer to the `numpy` module and examine the + methods and attributes of an array. + + Parameters + ---------- + (for the __new__ method; see Notes below) + + shape : tuple of ints + Shape of created array. + dtype : data-type, optional + Any object that can be interpreted as a numpy data type. + buffer : object exposing buffer interface, optional + Used to fill the array with data. + offset : int, optional + Offset of array data in buffer. + strides : tuple of ints, optional + Strides of data in memory. + order : {'C', 'F'}, optional + Row-major (C-style) or column-major (Fortran-style) order. + + Attributes + ---------- + T : ndarray + Transpose of the array. + data : buffer + The array's elements, in memory. + dtype : dtype object + Describes the format of the elements in the array. + flags : dict + Dictionary containing information related to memory use, e.g., + 'C_CONTIGUOUS', 'OWNDATA', 'WRITEABLE', etc. + flat : numpy.flatiter object + Flattened version of the array as an iterator. The iterator + allows assignments, e.g., ``x.flat = 3`` (See `ndarray.flat` for + assignment examples; TODO). + imag : ndarray + Imaginary part of the array. + real : ndarray + Real part of the array. + size : int + Number of elements in the array. + itemsize : int + The memory use of each array element in bytes. + nbytes : int + The total number of bytes required to store the array data, + i.e., ``itemsize * size``. + ndim : int + The array's number of dimensions. + shape : tuple of ints + Shape of the array. + strides : tuple of ints + The step-size required to move from one element to the next in + memory. For example, a contiguous ``(3, 4)`` array of type + ``int16`` in C-order has strides ``(8, 2)``. This implies that + to move from element to element in memory requires jumps of 2 bytes. + To move from row-to-row, one needs to jump 8 bytes at a time + (``2 * 4``). + ctypes : ctypes object + Class containing properties of the array needed for interaction + with ctypes. + base : ndarray + If the array is a view into another array, that array is its `base` + (unless that array is also a view). The `base` array is where the + array data is actually stored. + + See Also + -------- + array : Construct an array. + zeros : Create an array, each element of which is zero. + empty : Create an array, but leave its allocated memory unchanged (i.e., + it contains "garbage"). + dtype : Create a data-type. + numpy.typing.NDArray : An ndarray alias :term:`generic ` + w.r.t. its `dtype.type `. + + Notes + ----- + There are two modes of creating an array using ``__new__``: + + 1. If `buffer` is None, then only `shape`, `dtype`, and `order` + are used. + 2. If `buffer` is an object exposing the buffer interface, then + all keywords are interpreted. + + No ``__init__`` method is needed because the array is fully initialized + after the ``__new__`` method. + + Examples + -------- + These examples illustrate the low-level `ndarray` constructor. Refer + to the `See Also` section above for easier ways of constructing an + ndarray. + + First mode, `buffer` is None: + + >>> import numpy as np + >>> np.ndarray(shape=(2,2), dtype=float, order='F') + array([[0.0e+000, 0.0e+000], # random + [ nan, 2.5e-323]]) + + Second mode: + + >>> np.ndarray((2,), buffer=np.array([1,2,3]), + ... offset=np.int_().itemsize, + ... dtype=int) # offset = 1*itemsize, i.e. skip first element + array([2, 3]) + + """) + + +############################################################################## +# +# ndarray attributes +# +############################################################################## + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__array_interface__', + """Array protocol: Python side.""")) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__array_priority__', + """Array priority.""")) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__array_struct__', + """Array protocol: C-struct side.""")) + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__dlpack__', + """ + a.__dlpack__(*, stream=None, max_version=None, dl_device=None, copy=None) + + DLPack Protocol: Part of the Array API. + + """)) + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__dlpack_device__', + """ + a.__dlpack_device__() + + DLPack Protocol: Part of the Array API. + + """)) + +add_newdoc('numpy._core.multiarray', 'ndarray', ('base', + """ + Base object if memory is from some other object. + + Examples + -------- + The base of an array that owns its memory is None: + + >>> import numpy as np + >>> x = np.array([1,2,3,4]) + >>> x.base is None + True + + Slicing creates a view, whose memory is shared with x: + + >>> y = x[2:] + >>> y.base is x + True + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('ctypes', + """ + An object to simplify the interaction of the array with the ctypes + module. + + This attribute creates an object that makes it easier to use arrays + when calling shared libraries with the ctypes module. The returned + object has, among others, data, shape, and strides attributes (see + Notes below) which themselves return ctypes objects that can be used + as arguments to a shared library. + + Parameters + ---------- + None + + Returns + ------- + c : Python object + Possessing attributes data, shape, strides, etc. + + See Also + -------- + numpy.ctypeslib + + Notes + ----- + Below are the public attributes of this object which were documented + in "Guide to NumPy" (we have omitted undocumented public attributes, + as well as documented private attributes): + + .. autoattribute:: numpy._core._internal._ctypes.data + :noindex: + + .. autoattribute:: numpy._core._internal._ctypes.shape + :noindex: + + .. autoattribute:: numpy._core._internal._ctypes.strides + :noindex: + + .. automethod:: numpy._core._internal._ctypes.data_as + :noindex: + + .. automethod:: numpy._core._internal._ctypes.shape_as + :noindex: + + .. automethod:: numpy._core._internal._ctypes.strides_as + :noindex: + + If the ctypes module is not available, then the ctypes attribute + of array objects still returns something useful, but ctypes objects + are not returned and errors may be raised instead. In particular, + the object will still have the ``as_parameter`` attribute which will + return an integer equal to the data attribute. + + Examples + -------- + >>> import numpy as np + >>> import ctypes + >>> x = np.array([[0, 1], [2, 3]], dtype=np.int32) + >>> x + array([[0, 1], + [2, 3]], dtype=int32) + >>> x.ctypes.data + 31962608 # may vary + >>> x.ctypes.data_as(ctypes.POINTER(ctypes.c_uint32)) + <__main__.LP_c_uint object at 0x7ff2fc1fc200> # may vary + >>> x.ctypes.data_as(ctypes.POINTER(ctypes.c_uint32)).contents + c_uint(0) + >>> x.ctypes.data_as(ctypes.POINTER(ctypes.c_uint64)).contents + c_ulong(4294967296) + >>> x.ctypes.shape + # may vary + >>> x.ctypes.strides + # may vary + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('data', + """Python buffer object pointing to the start of the array's data.""")) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('dtype', + """ + Data-type of the array's elements. + + .. warning:: + + Setting ``arr.dtype`` is discouraged and may be deprecated in the + future. Setting will replace the ``dtype`` without modifying the + memory (see also `ndarray.view` and `ndarray.astype`). + + Parameters + ---------- + None + + Returns + ------- + d : numpy dtype object + + See Also + -------- + ndarray.astype : Cast the values contained in the array to a new data-type. + ndarray.view : Create a view of the same data but a different data-type. + numpy.dtype + + Examples + -------- + >>> x + array([[0, 1], + [2, 3]]) + >>> x.dtype + dtype('int32') + >>> type(x.dtype) + + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('imag', + """ + The imaginary part of the array. + + Examples + -------- + >>> import numpy as np + >>> x = np.sqrt([1+0j, 0+1j]) + >>> x.imag + array([ 0. , 0.70710678]) + >>> x.imag.dtype + dtype('float64') + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('itemsize', + """ + Length of one array element in bytes. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1,2,3], dtype=np.float64) + >>> x.itemsize + 8 + >>> x = np.array([1,2,3], dtype=np.complex128) + >>> x.itemsize + 16 + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('flags', + """ + Information about the memory layout of the array. + + Attributes + ---------- + C_CONTIGUOUS (C) + The data is in a single, C-style contiguous segment. + F_CONTIGUOUS (F) + The data is in a single, Fortran-style contiguous segment. + OWNDATA (O) + The array owns the memory it uses or borrows it from another object. + WRITEABLE (W) + The data area can be written to. Setting this to False locks + the data, making it read-only. A view (slice, etc.) inherits WRITEABLE + from its base array at creation time, but a view of a writeable + array may be subsequently locked while the base array remains writeable. + (The opposite is not true, in that a view of a locked array may not + be made writeable. However, currently, locking a base object does not + lock any views that already reference it, so under that circumstance it + is possible to alter the contents of a locked array via a previously + created writeable view onto it.) Attempting to change a non-writeable + array raises a RuntimeError exception. + ALIGNED (A) + The data and all elements are aligned appropriately for the hardware. + WRITEBACKIFCOPY (X) + This array is a copy of some other array. The C-API function + PyArray_ResolveWritebackIfCopy must be called before deallocating + to the base array will be updated with the contents of this array. + FNC + F_CONTIGUOUS and not C_CONTIGUOUS. + FORC + F_CONTIGUOUS or C_CONTIGUOUS (one-segment test). + BEHAVED (B) + ALIGNED and WRITEABLE. + CARRAY (CA) + BEHAVED and C_CONTIGUOUS. + FARRAY (FA) + BEHAVED and F_CONTIGUOUS and not C_CONTIGUOUS. + + Notes + ----- + The `flags` object can be accessed dictionary-like (as in ``a.flags['WRITEABLE']``), + or by using lowercased attribute names (as in ``a.flags.writeable``). Short flag + names are only supported in dictionary access. + + Only the WRITEBACKIFCOPY, WRITEABLE, and ALIGNED flags can be + changed by the user, via direct assignment to the attribute or dictionary + entry, or by calling `ndarray.setflags`. + + The array flags cannot be set arbitrarily: + + - WRITEBACKIFCOPY can only be set ``False``. + - ALIGNED can only be set ``True`` if the data is truly aligned. + - WRITEABLE can only be set ``True`` if the array owns its own memory + or the ultimate owner of the memory exposes a writeable buffer + interface or is a string. + + Arrays can be both C-style and Fortran-style contiguous simultaneously. + This is clear for 1-dimensional arrays, but can also be true for higher + dimensional arrays. + + Even for contiguous arrays a stride for a given dimension + ``arr.strides[dim]`` may be *arbitrary* if ``arr.shape[dim] == 1`` + or the array has no elements. + It does *not* generally hold that ``self.strides[-1] == self.itemsize`` + for C-style contiguous arrays or ``self.strides[0] == self.itemsize`` for + Fortran-style contiguous arrays is true. + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('flat', + """ + A 1-D iterator over the array. + + This is a `numpy.flatiter` instance, which acts similarly to, but is not + a subclass of, Python's built-in iterator object. + + See Also + -------- + flatten : Return a copy of the array collapsed into one dimension. + + flatiter + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(1, 7).reshape(2, 3) + >>> x + array([[1, 2, 3], + [4, 5, 6]]) + >>> x.flat[3] + 4 + >>> x.T + array([[1, 4], + [2, 5], + [3, 6]]) + >>> x.T.flat[3] + 5 + >>> type(x.flat) + + + An assignment example: + + >>> x.flat = 3; x + array([[3, 3, 3], + [3, 3, 3]]) + >>> x.flat[[1,4]] = 1; x + array([[3, 1, 3], + [3, 1, 3]]) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('nbytes', + """ + Total bytes consumed by the elements of the array. + + Notes + ----- + Does not include memory consumed by non-element attributes of the + array object. + + See Also + -------- + sys.getsizeof + Memory consumed by the object itself without parents in case view. + This does include memory consumed by non-element attributes. + + Examples + -------- + >>> import numpy as np + >>> x = np.zeros((3,5,2), dtype=np.complex128) + >>> x.nbytes + 480 + >>> np.prod(x.shape) * x.itemsize + 480 + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('ndim', + """ + Number of array dimensions. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3]) + >>> x.ndim + 1 + >>> y = np.zeros((2, 3, 4)) + >>> y.ndim + 3 + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('real', + """ + The real part of the array. + + Examples + -------- + >>> import numpy as np + >>> x = np.sqrt([1+0j, 0+1j]) + >>> x.real + array([ 1. , 0.70710678]) + >>> x.real.dtype + dtype('float64') + + See Also + -------- + numpy.real : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('shape', + """ + Tuple of array dimensions. + + The shape property is usually used to get the current shape of an array, + but may also be used to reshape the array in-place by assigning a tuple of + array dimensions to it. As with `numpy.reshape`, one of the new shape + dimensions can be -1, in which case its value is inferred from the size of + the array and the remaining dimensions. Reshaping an array in-place will + fail if a copy is required. + + .. warning:: + + Setting ``arr.shape`` is discouraged and may be deprecated in the + future. Using `ndarray.reshape` is the preferred approach. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3, 4]) + >>> x.shape + (4,) + >>> y = np.zeros((2, 3, 4)) + >>> y.shape + (2, 3, 4) + >>> y.shape = (3, 8) + >>> y + array([[ 0., 0., 0., 0., 0., 0., 0., 0.], + [ 0., 0., 0., 0., 0., 0., 0., 0.], + [ 0., 0., 0., 0., 0., 0., 0., 0.]]) + >>> y.shape = (3, 6) + Traceback (most recent call last): + File "", line 1, in + ValueError: total size of new array must be unchanged + >>> np.zeros((4,2))[::2].shape = (-1,) + Traceback (most recent call last): + File "", line 1, in + AttributeError: Incompatible shape for in-place modification. Use + `.reshape()` to make a copy with the desired shape. + + See Also + -------- + numpy.shape : Equivalent getter function. + numpy.reshape : Function similar to setting ``shape``. + ndarray.reshape : Method similar to setting ``shape``. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('size', + """ + Number of elements in the array. + + Equal to ``np.prod(a.shape)``, i.e., the product of the array's + dimensions. + + Notes + ----- + `a.size` returns a standard arbitrary precision Python integer. This + may not be the case with other methods of obtaining the same value + (like the suggested ``np.prod(a.shape)``, which returns an instance + of ``np.int_``), and may be relevant if the value is used further in + calculations that may overflow a fixed size integer type. + + Examples + -------- + >>> import numpy as np + >>> x = np.zeros((3, 5, 2), dtype=np.complex128) + >>> x.size + 30 + >>> np.prod(x.shape) + 30 + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('strides', + """ + Tuple of bytes to step in each dimension when traversing an array. + + The byte offset of element ``(i[0], i[1], ..., i[n])`` in an array `a` + is:: + + offset = sum(np.array(i) * a.strides) + + A more detailed explanation of strides can be found in + :ref:`arrays.ndarray`. + + .. warning:: + + Setting ``arr.strides`` is discouraged and may be deprecated in the + future. `numpy.lib.stride_tricks.as_strided` should be preferred + to create a new view of the same data in a safer way. + + Notes + ----- + Imagine an array of 32-bit integers (each 4 bytes):: + + x = np.array([[0, 1, 2, 3, 4], + [5, 6, 7, 8, 9]], dtype=np.int32) + + This array is stored in memory as 40 bytes, one after the other + (known as a contiguous block of memory). The strides of an array tell + us how many bytes we have to skip in memory to move to the next position + along a certain axis. For example, we have to skip 4 bytes (1 value) to + move to the next column, but 20 bytes (5 values) to get to the same + position in the next row. As such, the strides for the array `x` will be + ``(20, 4)``. + + See Also + -------- + numpy.lib.stride_tricks.as_strided + + Examples + -------- + >>> import numpy as np + >>> y = np.reshape(np.arange(2*3*4), (2,3,4)) + >>> y + array([[[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]], + [[12, 13, 14, 15], + [16, 17, 18, 19], + [20, 21, 22, 23]]]) + >>> y.strides + (48, 16, 4) + >>> y[1,1,1] + 17 + >>> offset=sum(y.strides * np.array((1,1,1))) + >>> offset/y.itemsize + 17 + + >>> x = np.reshape(np.arange(5*6*7*8), (5,6,7,8)).transpose(2,3,1,0) + >>> x.strides + (32, 4, 224, 1344) + >>> i = np.array([3,5,2,2]) + >>> offset = sum(i * x.strides) + >>> x[3,5,2,2] + 813 + >>> offset / x.itemsize + 813 + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('T', + """ + View of the transposed array. + + Same as ``self.transpose()``. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> a + array([[1, 2], + [3, 4]]) + >>> a.T + array([[1, 3], + [2, 4]]) + + >>> a = np.array([1, 2, 3, 4]) + >>> a + array([1, 2, 3, 4]) + >>> a.T + array([1, 2, 3, 4]) + + See Also + -------- + transpose + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('mT', + """ + View of the matrix transposed array. + + The matrix transpose is the transpose of the last two dimensions, even + if the array is of higher dimension. + + .. versionadded:: 2.0 + + Raises + ------ + ValueError + If the array is of dimension less than 2. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> a + array([[1, 2], + [3, 4]]) + >>> a.mT + array([[1, 3], + [2, 4]]) + + >>> a = np.arange(8).reshape((2, 2, 2)) + >>> a + array([[[0, 1], + [2, 3]], + + [[4, 5], + [6, 7]]]) + >>> a.mT + array([[[0, 2], + [1, 3]], + + [[4, 6], + [5, 7]]]) + + """)) +############################################################################## +# +# ndarray methods +# +############################################################################## + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__array__', + """ + a.__array__([dtype], *, copy=None) + + For ``dtype`` parameter it returns a new reference to self if + ``dtype`` is not given or it matches array's data type. + A new array of provided data type is returned if ``dtype`` + is different from the current data type of the array. + For ``copy`` parameter it returns a new reference to self if + ``copy=False`` or ``copy=None`` and copying isn't enforced by ``dtype`` + parameter. The method returns a new array for ``copy=True``, regardless of + ``dtype`` parameter. + + A more detailed explanation of the ``__array__`` interface + can be found in :ref:`dunder_array.interface`. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__array_finalize__', + """ + a.__array_finalize__(obj, /) + + Present so subclasses can call super. Does nothing. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__array_wrap__', + """ + a.__array_wrap__(array[, context], /) + + Returns a view of `array` with the same type as self. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__copy__', + """ + a.__copy__() + + Used if :func:`copy.copy` is called on an array. Returns a copy of the array. + + Equivalent to ``a.copy(order='K')``. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__class_getitem__', + """ + a.__class_getitem__(item, /) + + Return a parametrized wrapper around the `~numpy.ndarray` type. + + .. versionadded:: 1.22 + + Returns + ------- + alias : types.GenericAlias + A parametrized `~numpy.ndarray` type. + + Examples + -------- + >>> from typing import Any + >>> import numpy as np + + >>> np.ndarray[Any, np.dtype[Any]] + numpy.ndarray[typing.Any, numpy.dtype[typing.Any]] + + See Also + -------- + :pep:`585` : Type hinting generics in standard collections. + numpy.typing.NDArray : An ndarray alias :term:`generic ` + w.r.t. its `dtype.type `. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__deepcopy__', + """ + a.__deepcopy__(memo, /) + + Used if :func:`copy.deepcopy` is called on an array. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__reduce__', + """ + a.__reduce__() + + For pickling. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('__setstate__', + """ + a.__setstate__(state, /) + + For unpickling. + + The `state` argument must be a sequence that contains the following + elements: + + Parameters + ---------- + version : int + optional pickle version. If omitted defaults to 0. + shape : tuple + dtype : data-type + isFortran : bool + rawdata : string or list + a binary string with the data (or a list if 'a' is an object array) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('all', + """ + a.all(axis=None, out=None, keepdims=False, *, where=True) + + Returns True if all elements evaluate to True. + + Refer to `numpy.all` for full documentation. + + See Also + -------- + numpy.all : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('any', + """ + a.any(axis=None, out=None, keepdims=False, *, where=True) + + Returns True if any of the elements of `a` evaluate to True. + + Refer to `numpy.any` for full documentation. + + See Also + -------- + numpy.any : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('argmax', + """ + a.argmax(axis=None, out=None, *, keepdims=False) + + Return indices of the maximum values along the given axis. + + Refer to `numpy.argmax` for full documentation. + + See Also + -------- + numpy.argmax : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('argmin', + """ + a.argmin(axis=None, out=None, *, keepdims=False) + + Return indices of the minimum values along the given axis. + + Refer to `numpy.argmin` for detailed documentation. + + See Also + -------- + numpy.argmin : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('argsort', + """ + a.argsort(axis=-1, kind=None, order=None) + + Returns the indices that would sort this array. + + Refer to `numpy.argsort` for full documentation. + + See Also + -------- + numpy.argsort : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('argpartition', + """ + a.argpartition(kth, axis=-1, kind='introselect', order=None) + + Returns the indices that would partition this array. + + Refer to `numpy.argpartition` for full documentation. + + See Also + -------- + numpy.argpartition : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('astype', + """ + a.astype(dtype, order='K', casting='unsafe', subok=True, copy=True) + + Copy of the array, cast to a specified type. + + Parameters + ---------- + dtype : str or dtype + Typecode or data-type to which the array is cast. + order : {'C', 'F', 'A', 'K'}, optional + Controls the memory layout order of the result. + 'C' means C order, 'F' means Fortran order, 'A' + means 'F' order if all the arrays are Fortran contiguous, + 'C' order otherwise, and 'K' means as close to the + order the array elements appear in memory as possible. + Default is 'K'. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. Defaults to 'unsafe' + for backwards compatibility. + + * 'no' means the data types should not be cast at all. + * 'equiv' means only byte-order changes are allowed. + * 'safe' means only casts which can preserve values are allowed. + * 'same_kind' means only safe casts or casts within a kind, + like float64 to float32, are allowed. + * 'unsafe' means any data conversions may be done. + subok : bool, optional + If True, then sub-classes will be passed-through (default), otherwise + the returned array will be forced to be a base-class array. + copy : bool, optional + By default, astype always returns a newly allocated array. If this + is set to false, and the `dtype`, `order`, and `subok` + requirements are satisfied, the input array is returned instead + of a copy. + + Returns + ------- + arr_t : ndarray + Unless `copy` is False and the other conditions for returning the input + array are satisfied (see description for `copy` input parameter), `arr_t` + is a new array of the same shape as the input array, with dtype, order + given by `dtype`, `order`. + + Raises + ------ + ComplexWarning + When casting from complex to float or int. To avoid this, + one should use ``a.real.astype(t)``. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 2.5]) + >>> x + array([1. , 2. , 2.5]) + + >>> x.astype(int) + array([1, 2, 2]) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('byteswap', + """ + a.byteswap(inplace=False) + + Swap the bytes of the array elements + + Toggle between low-endian and big-endian data representation by + returning a byteswapped array, optionally swapped in-place. + Arrays of byte-strings are not swapped. The real and imaginary + parts of a complex number are swapped individually. + + Parameters + ---------- + inplace : bool, optional + If ``True``, swap bytes in-place, default is ``False``. + + Returns + ------- + out : ndarray + The byteswapped array. If `inplace` is ``True``, this is + a view to self. + + Examples + -------- + >>> import numpy as np + >>> A = np.array([1, 256, 8755], dtype=np.int16) + >>> list(map(hex, A)) + ['0x1', '0x100', '0x2233'] + >>> A.byteswap(inplace=True) + array([ 256, 1, 13090], dtype=int16) + >>> list(map(hex, A)) + ['0x100', '0x1', '0x3322'] + + Arrays of byte-strings are not swapped + + >>> A = np.array([b'ceg', b'fac']) + >>> A.byteswap() + array([b'ceg', b'fac'], dtype='|S3') + + ``A.view(A.dtype.newbyteorder()).byteswap()`` produces an array with + the same values but different representation in memory + + >>> A = np.array([1, 2, 3],dtype=np.int64) + >>> A.view(np.uint8) + array([1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, + 0, 0], dtype=uint8) + >>> A.view(A.dtype.newbyteorder()).byteswap(inplace=True) + array([1, 2, 3], dtype='>i8') + >>> A.view(np.uint8) + array([0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, + 0, 3], dtype=uint8) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('choose', + """ + a.choose(choices, out=None, mode='raise') + + Use an index array to construct a new array from a set of choices. + + Refer to `numpy.choose` for full documentation. + + See Also + -------- + numpy.choose : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('clip', + """ + a.clip(min=None, max=None, out=None, **kwargs) + + Return an array whose values are limited to ``[min, max]``. + One of max or min must be given. + + Refer to `numpy.clip` for full documentation. + + See Also + -------- + numpy.clip : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('compress', + """ + a.compress(condition, axis=None, out=None) + + Return selected slices of this array along given axis. + + Refer to `numpy.compress` for full documentation. + + See Also + -------- + numpy.compress : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('conj', + """ + a.conj() + + Complex-conjugate all elements. + + Refer to `numpy.conjugate` for full documentation. + + See Also + -------- + numpy.conjugate : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('conjugate', + """ + a.conjugate() + + Return the complex conjugate, element-wise. + + Refer to `numpy.conjugate` for full documentation. + + See Also + -------- + numpy.conjugate : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('copy', + """ + a.copy(order='C') + + Return a copy of the array. + + Parameters + ---------- + order : {'C', 'F', 'A', 'K'}, optional + Controls the memory layout of the copy. 'C' means C-order, + 'F' means F-order, 'A' means 'F' if `a` is Fortran contiguous, + 'C' otherwise. 'K' means match the layout of `a` as closely + as possible. (Note that this function and :func:`numpy.copy` are very + similar but have different default values for their order= + arguments, and this function always passes sub-classes through.) + + See also + -------- + numpy.copy : Similar function with different default behavior + numpy.copyto + + Notes + ----- + This function is the preferred method for creating an array copy. The + function :func:`numpy.copy` is similar, but it defaults to using order 'K', + and will not pass sub-classes through by default. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([[1,2,3],[4,5,6]], order='F') + + >>> y = x.copy() + + >>> x.fill(0) + + >>> x + array([[0, 0, 0], + [0, 0, 0]]) + + >>> y + array([[1, 2, 3], + [4, 5, 6]]) + + >>> y.flags['C_CONTIGUOUS'] + True + + For arrays containing Python objects (e.g. dtype=object), + the copy is a shallow one. The new array will contain the + same object which may lead to surprises if that object can + be modified (is mutable): + + >>> a = np.array([1, 'm', [2, 3, 4]], dtype=object) + >>> b = a.copy() + >>> b[2][0] = 10 + >>> a + array([1, 'm', list([10, 3, 4])], dtype=object) + + To ensure all elements within an ``object`` array are copied, + use `copy.deepcopy`: + + >>> import copy + >>> a = np.array([1, 'm', [2, 3, 4]], dtype=object) + >>> c = copy.deepcopy(a) + >>> c[2][0] = 10 + >>> c + array([1, 'm', list([10, 3, 4])], dtype=object) + >>> a + array([1, 'm', list([2, 3, 4])], dtype=object) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('cumprod', + """ + a.cumprod(axis=None, dtype=None, out=None) + + Return the cumulative product of the elements along the given axis. + + Refer to `numpy.cumprod` for full documentation. + + See Also + -------- + numpy.cumprod : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('cumsum', + """ + a.cumsum(axis=None, dtype=None, out=None) + + Return the cumulative sum of the elements along the given axis. + + Refer to `numpy.cumsum` for full documentation. + + See Also + -------- + numpy.cumsum : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('diagonal', + """ + a.diagonal(offset=0, axis1=0, axis2=1) + + Return specified diagonals. In NumPy 1.9 the returned array is a + read-only view instead of a copy as in previous NumPy versions. In + a future version the read-only restriction will be removed. + + Refer to :func:`numpy.diagonal` for full documentation. + + See Also + -------- + numpy.diagonal : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('dot')) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('dump', + """ + a.dump(file) + + Dump a pickle of the array to the specified file. + The array can be read back with pickle.load or numpy.load. + + Parameters + ---------- + file : str or Path + A string naming the dump file. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('dumps', + """ + a.dumps() + + Returns the pickle of the array as a string. + pickle.loads will convert the string back to an array. + + Parameters + ---------- + None + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('fill', + """ + a.fill(value) + + Fill the array with a scalar value. + + Parameters + ---------- + value : scalar + All elements of `a` will be assigned this value. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([1, 2]) + >>> a.fill(0) + >>> a + array([0, 0]) + >>> a = np.empty(2) + >>> a.fill(1) + >>> a + array([1., 1.]) + + Fill expects a scalar value and always behaves the same as assigning + to a single array element. The following is a rare example where this + distinction is important: + + >>> a = np.array([None, None], dtype=object) + >>> a[0] = np.array(3) + >>> a + array([array(3), None], dtype=object) + >>> a.fill(np.array(3)) + >>> a + array([array(3), array(3)], dtype=object) + + Where other forms of assignments will unpack the array being assigned: + + >>> a[...] = np.array(3) + >>> a + array([3, 3], dtype=object) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('flatten', + """ + a.flatten(order='C') + + Return a copy of the array collapsed into one dimension. + + Parameters + ---------- + order : {'C', 'F', 'A', 'K'}, optional + 'C' means to flatten in row-major (C-style) order. + 'F' means to flatten in column-major (Fortran- + style) order. 'A' means to flatten in column-major + order if `a` is Fortran *contiguous* in memory, + row-major order otherwise. 'K' means to flatten + `a` in the order the elements occur in memory. + The default is 'C'. + + Returns + ------- + y : ndarray + A copy of the input array, flattened to one dimension. + + See Also + -------- + ravel : Return a flattened array. + flat : A 1-D flat iterator over the array. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1,2], [3,4]]) + >>> a.flatten() + array([1, 2, 3, 4]) + >>> a.flatten('F') + array([1, 3, 2, 4]) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('getfield', + """ + a.getfield(dtype, offset=0) + + Returns a field of the given array as a certain type. + + A field is a view of the array data with a given data-type. The values in + the view are determined by the given type and the offset into the current + array in bytes. The offset needs to be such that the view dtype fits in the + array dtype; for example an array of dtype complex128 has 16-byte elements. + If taking a view with a 32-bit integer (4 bytes), the offset needs to be + between 0 and 12 bytes. + + Parameters + ---------- + dtype : str or dtype + The data type of the view. The dtype size of the view can not be larger + than that of the array itself. + offset : int + Number of bytes to skip before beginning the element view. + + Examples + -------- + >>> import numpy as np + >>> x = np.diag([1.+1.j]*2) + >>> x[1, 1] = 2 + 4.j + >>> x + array([[1.+1.j, 0.+0.j], + [0.+0.j, 2.+4.j]]) + >>> x.getfield(np.float64) + array([[1., 0.], + [0., 2.]]) + + By choosing an offset of 8 bytes we can select the complex part of the + array for our view: + + >>> x.getfield(np.float64, offset=8) + array([[1., 0.], + [0., 4.]]) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('item', + """ + a.item(*args) + + Copy an element of an array to a standard Python scalar and return it. + + Parameters + ---------- + \\*args : Arguments (variable number and type) + + * none: in this case, the method only works for arrays + with one element (`a.size == 1`), which element is + copied into a standard Python scalar object and returned. + + * int_type: this argument is interpreted as a flat index into + the array, specifying which element to copy and return. + + * tuple of int_types: functions as does a single int_type argument, + except that the argument is interpreted as an nd-index into the + array. + + Returns + ------- + z : Standard Python scalar object + A copy of the specified element of the array as a suitable + Python scalar + + Notes + ----- + When the data type of `a` is longdouble or clongdouble, item() returns + a scalar array object because there is no available Python scalar that + would not lose information. Void arrays return a buffer object for item(), + unless fields are defined, in which case a tuple is returned. + + `item` is very similar to a[args], except, instead of an array scalar, + a standard Python scalar is returned. This can be useful for speeding up + access to elements of the array and doing arithmetic on elements of the + array using Python's optimized math. + + Examples + -------- + >>> import numpy as np + >>> np.random.seed(123) + >>> x = np.random.randint(9, size=(3, 3)) + >>> x + array([[2, 2, 6], + [1, 3, 6], + [1, 0, 1]]) + >>> x.item(3) + 1 + >>> x.item(7) + 0 + >>> x.item((0, 1)) + 2 + >>> x.item((2, 2)) + 1 + + For an array with object dtype, elements are returned as-is. + + >>> a = np.array([np.int64(1)], dtype=object) + >>> a.item() #return np.int64 + np.int64(1) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('max', + """ + a.max(axis=None, out=None, keepdims=False, initial=, where=True) + + Return the maximum along a given axis. + + Refer to `numpy.amax` for full documentation. + + See Also + -------- + numpy.amax : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('mean', + """ + a.mean(axis=None, dtype=None, out=None, keepdims=False, *, where=True) + + Returns the average of the array elements along given axis. + + Refer to `numpy.mean` for full documentation. + + See Also + -------- + numpy.mean : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('min', + """ + a.min(axis=None, out=None, keepdims=False, initial=, where=True) + + Return the minimum along a given axis. + + Refer to `numpy.amin` for full documentation. + + See Also + -------- + numpy.amin : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('nonzero', + """ + a.nonzero() + + Return the indices of the elements that are non-zero. + + Refer to `numpy.nonzero` for full documentation. + + See Also + -------- + numpy.nonzero : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('prod', + """ + a.prod(axis=None, dtype=None, out=None, keepdims=False, + initial=1, where=True) + + Return the product of the array elements over the given axis + + Refer to `numpy.prod` for full documentation. + + See Also + -------- + numpy.prod : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('put', + """ + a.put(indices, values, mode='raise') + + Set ``a.flat[n] = values[n]`` for all `n` in indices. + + Refer to `numpy.put` for full documentation. + + See Also + -------- + numpy.put : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('ravel', + """ + a.ravel([order]) + + Return a flattened array. + + Refer to `numpy.ravel` for full documentation. + + See Also + -------- + numpy.ravel : equivalent function + + ndarray.flat : a flat iterator on the array. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('repeat', + """ + a.repeat(repeats, axis=None) + + Repeat elements of an array. + + Refer to `numpy.repeat` for full documentation. + + See Also + -------- + numpy.repeat : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('reshape', + """ + a.reshape(shape, /, *, order='C', copy=None) + + Returns an array containing the same data with a new shape. + + Refer to `numpy.reshape` for full documentation. + + See Also + -------- + numpy.reshape : equivalent function + + Notes + ----- + Unlike the free function `numpy.reshape`, this method on `ndarray` allows + the elements of the shape parameter to be passed in as separate arguments. + For example, ``a.reshape(10, 11)`` is equivalent to + ``a.reshape((10, 11))``. + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('resize', + """ + a.resize(new_shape, refcheck=True) + + Change shape and size of array in-place. + + Parameters + ---------- + new_shape : tuple of ints, or `n` ints + Shape of resized array. + refcheck : bool, optional + If False, reference count will not be checked. Default is True. + + Returns + ------- + None + + Raises + ------ + ValueError + If `a` does not own its own data or references or views to it exist, + and the data memory must be changed. + PyPy only: will always raise if the data memory must be changed, since + there is no reliable way to determine if references or views to it + exist. + + SystemError + If the `order` keyword argument is specified. This behaviour is a + bug in NumPy. + + See Also + -------- + resize : Return a new array with the specified shape. + + Notes + ----- + This reallocates space for the data area if necessary. + + Only contiguous arrays (data elements consecutive in memory) can be + resized. + + The purpose of the reference count check is to make sure you + do not use this array as a buffer for another Python object and then + reallocate the memory. However, reference counts can increase in + other ways so if you are sure that you have not shared the memory + for this array with another Python object, then you may safely set + `refcheck` to False. + + Examples + -------- + Shrinking an array: array is flattened (in the order that the data are + stored in memory), resized, and reshaped: + + >>> import numpy as np + + >>> a = np.array([[0, 1], [2, 3]], order='C') + >>> a.resize((2, 1)) + >>> a + array([[0], + [1]]) + + >>> a = np.array([[0, 1], [2, 3]], order='F') + >>> a.resize((2, 1)) + >>> a + array([[0], + [2]]) + + Enlarging an array: as above, but missing entries are filled with zeros: + + >>> b = np.array([[0, 1], [2, 3]]) + >>> b.resize(2, 3) # new_shape parameter doesn't have to be a tuple + >>> b + array([[0, 1, 2], + [3, 0, 0]]) + + Referencing an array prevents resizing... + + >>> c = a + >>> a.resize((1, 1)) + Traceback (most recent call last): + ... + ValueError: cannot resize an array that references or is referenced ... + + Unless `refcheck` is False: + + >>> a.resize((1, 1), refcheck=False) + >>> a + array([[0]]) + >>> c + array([[0]]) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('round', + """ + a.round(decimals=0, out=None) + + Return `a` with each element rounded to the given number of decimals. + + Refer to `numpy.around` for full documentation. + + See Also + -------- + numpy.around : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('searchsorted', + """ + a.searchsorted(v, side='left', sorter=None) + + Find indices where elements of v should be inserted in a to maintain order. + + For full documentation, see `numpy.searchsorted` + + See Also + -------- + numpy.searchsorted : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('setfield', + """ + a.setfield(val, dtype, offset=0) + + Put a value into a specified place in a field defined by a data-type. + + Place `val` into `a`'s field defined by `dtype` and beginning `offset` + bytes into the field. + + Parameters + ---------- + val : object + Value to be placed in field. + dtype : dtype object + Data-type of the field in which to place `val`. + offset : int, optional + The number of bytes into the field at which to place `val`. + + Returns + ------- + None + + See Also + -------- + getfield + + Examples + -------- + >>> import numpy as np + >>> x = np.eye(3) + >>> x.getfield(np.float64) + array([[1., 0., 0.], + [0., 1., 0.], + [0., 0., 1.]]) + >>> x.setfield(3, np.int32) + >>> x.getfield(np.int32) + array([[3, 3, 3], + [3, 3, 3], + [3, 3, 3]], dtype=int32) + >>> x + array([[1.0e+000, 1.5e-323, 1.5e-323], + [1.5e-323, 1.0e+000, 1.5e-323], + [1.5e-323, 1.5e-323, 1.0e+000]]) + >>> x.setfield(np.eye(3), np.int32) + >>> x + array([[1., 0., 0.], + [0., 1., 0.], + [0., 0., 1.]]) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('setflags', + """ + a.setflags(write=None, align=None, uic=None) + + Set array flags WRITEABLE, ALIGNED, WRITEBACKIFCOPY, + respectively. + + These Boolean-valued flags affect how numpy interprets the memory + area used by `a` (see Notes below). The ALIGNED flag can only + be set to True if the data is actually aligned according to the type. + The WRITEBACKIFCOPY flag can never be set + to True. The flag WRITEABLE can only be set to True if the array owns its + own memory, or the ultimate owner of the memory exposes a writeable buffer + interface, or is a string. (The exception for string is made so that + unpickling can be done without copying memory.) + + Parameters + ---------- + write : bool, optional + Describes whether or not `a` can be written to. + align : bool, optional + Describes whether or not `a` is aligned properly for its type. + uic : bool, optional + Describes whether or not `a` is a copy of another "base" array. + + Notes + ----- + Array flags provide information about how the memory area used + for the array is to be interpreted. There are 7 Boolean flags + in use, only three of which can be changed by the user: + WRITEBACKIFCOPY, WRITEABLE, and ALIGNED. + + WRITEABLE (W) the data area can be written to; + + ALIGNED (A) the data and strides are aligned appropriately for the hardware + (as determined by the compiler); + + WRITEBACKIFCOPY (X) this array is a copy of some other array (referenced + by .base). When the C-API function PyArray_ResolveWritebackIfCopy is + called, the base array will be updated with the contents of this array. + + All flags can be accessed using the single (upper case) letter as well + as the full name. + + Examples + -------- + >>> import numpy as np + >>> y = np.array([[3, 1, 7], + ... [2, 0, 0], + ... [8, 5, 9]]) + >>> y + array([[3, 1, 7], + [2, 0, 0], + [8, 5, 9]]) + >>> y.flags + C_CONTIGUOUS : True + F_CONTIGUOUS : False + OWNDATA : True + WRITEABLE : True + ALIGNED : True + WRITEBACKIFCOPY : False + >>> y.setflags(write=0, align=0) + >>> y.flags + C_CONTIGUOUS : True + F_CONTIGUOUS : False + OWNDATA : True + WRITEABLE : False + ALIGNED : False + WRITEBACKIFCOPY : False + >>> y.setflags(uic=1) + Traceback (most recent call last): + File "", line 1, in + ValueError: cannot set WRITEBACKIFCOPY flag to True + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('sort', + """ + a.sort(axis=-1, kind=None, order=None) + + Sort an array in-place. Refer to `numpy.sort` for full documentation. + + Parameters + ---------- + axis : int, optional + Axis along which to sort. Default is -1, which means sort along the + last axis. + kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, optional + Sorting algorithm. The default is 'quicksort'. Note that both 'stable' + and 'mergesort' use timsort under the covers and, in general, the + actual implementation will vary with datatype. The 'mergesort' option + is retained for backwards compatibility. + order : str or list of str, optional + When `a` is an array with fields defined, this argument specifies + which fields to compare first, second, etc. A single field can + be specified as a string, and not all fields need be specified, + but unspecified fields will still be used, in the order in which + they come up in the dtype, to break ties. + + See Also + -------- + numpy.sort : Return a sorted copy of an array. + numpy.argsort : Indirect sort. + numpy.lexsort : Indirect stable sort on multiple keys. + numpy.searchsorted : Find elements in sorted array. + numpy.partition: Partial sort. + + Notes + ----- + See `numpy.sort` for notes on the different sorting algorithms. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1,4], [3,1]]) + >>> a.sort(axis=1) + >>> a + array([[1, 4], + [1, 3]]) + >>> a.sort(axis=0) + >>> a + array([[1, 3], + [1, 4]]) + + Use the `order` keyword to specify a field to use when sorting a + structured array: + + >>> a = np.array([('a', 2), ('c', 1)], dtype=[('x', 'S1'), ('y', int)]) + >>> a.sort(order='y') + >>> a + array([(b'c', 1), (b'a', 2)], + dtype=[('x', 'S1'), ('y', '>> import numpy as np + >>> a = np.array([3, 4, 2, 1]) + >>> a.partition(3) + >>> a + array([2, 1, 3, 4]) # may vary + + >>> a.partition((1, 3)) + >>> a + array([1, 2, 3, 4]) + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('squeeze', + """ + a.squeeze(axis=None) + + Remove axes of length one from `a`. + + Refer to `numpy.squeeze` for full documentation. + + See Also + -------- + numpy.squeeze : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('std', + """ + a.std(axis=None, dtype=None, out=None, ddof=0, keepdims=False, *, where=True) + + Returns the standard deviation of the array elements along given axis. + + Refer to `numpy.std` for full documentation. + + See Also + -------- + numpy.std : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('sum', + """ + a.sum(axis=None, dtype=None, out=None, keepdims=False, initial=0, where=True) + + Return the sum of the array elements over the given axis. + + Refer to `numpy.sum` for full documentation. + + See Also + -------- + numpy.sum : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('swapaxes', + """ + a.swapaxes(axis1, axis2) + + Return a view of the array with `axis1` and `axis2` interchanged. + + Refer to `numpy.swapaxes` for full documentation. + + See Also + -------- + numpy.swapaxes : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('take', + """ + a.take(indices, axis=None, out=None, mode='raise') + + Return an array formed from the elements of `a` at the given indices. + + Refer to `numpy.take` for full documentation. + + See Also + -------- + numpy.take : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('tofile', + """ + a.tofile(fid, sep="", format="%s") + + Write array to a file as text or binary (default). + + Data is always written in 'C' order, independent of the order of `a`. + The data produced by this method can be recovered using the function + fromfile(). + + Parameters + ---------- + fid : file or str or Path + An open file object, or a string containing a filename. + sep : str + Separator between array items for text output. + If "" (empty), a binary file is written, equivalent to + ``file.write(a.tobytes())``. + format : str + Format string for text file output. + Each entry in the array is formatted to text by first converting + it to the closest Python type, and then using "format" % item. + + Notes + ----- + This is a convenience function for quick storage of array data. + Information on endianness and precision is lost, so this method is not a + good choice for files intended to archive data or transport data between + machines with different endianness. Some of these problems can be overcome + by outputting the data as text files, at the expense of speed and file + size. + + When fid is a file object, array contents are directly written to the + file, bypassing the file object's ``write`` method. As a result, tofile + cannot be used with files objects supporting compression (e.g., GzipFile) + or file-like objects that do not support ``fileno()`` (e.g., BytesIO). + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('tolist', + """ + a.tolist() + + Return the array as an ``a.ndim``-levels deep nested list of Python scalars. + + Return a copy of the array data as a (nested) Python list. + Data items are converted to the nearest compatible builtin Python type, via + the `~numpy.ndarray.item` function. + + If ``a.ndim`` is 0, then since the depth of the nested list is 0, it will + not be a list at all, but a simple Python scalar. + + Parameters + ---------- + none + + Returns + ------- + y : object, or list of object, or list of list of object, or ... + The possibly nested list of array elements. + + Notes + ----- + The array may be recreated via ``a = np.array(a.tolist())``, although this + may sometimes lose precision. + + Examples + -------- + For a 1D array, ``a.tolist()`` is almost the same as ``list(a)``, + except that ``tolist`` changes numpy scalars to Python scalars: + + >>> import numpy as np + >>> a = np.uint32([1, 2]) + >>> a_list = list(a) + >>> a_list + [np.uint32(1), np.uint32(2)] + >>> type(a_list[0]) + + >>> a_tolist = a.tolist() + >>> a_tolist + [1, 2] + >>> type(a_tolist[0]) + + + Additionally, for a 2D array, ``tolist`` applies recursively: + + >>> a = np.array([[1, 2], [3, 4]]) + >>> list(a) + [array([1, 2]), array([3, 4])] + >>> a.tolist() + [[1, 2], [3, 4]] + + The base case for this recursion is a 0D array: + + >>> a = np.array(1) + >>> list(a) + Traceback (most recent call last): + ... + TypeError: iteration over a 0-d array + >>> a.tolist() + 1 + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('tobytes', """ + a.tobytes(order='C') + + Construct Python bytes containing the raw data bytes in the array. + + Constructs Python bytes showing a copy of the raw contents of + data memory. The bytes object is produced in C-order by default. + This behavior is controlled by the ``order`` parameter. + + Parameters + ---------- + order : {'C', 'F', 'A'}, optional + Controls the memory layout of the bytes object. 'C' means C-order, + 'F' means F-order, 'A' (short for *Any*) means 'F' if `a` is + Fortran contiguous, 'C' otherwise. Default is 'C'. + + Returns + ------- + s : bytes + Python bytes exhibiting a copy of `a`'s raw data. + + See also + -------- + frombuffer + Inverse of this operation, construct a 1-dimensional array from Python + bytes. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([[0, 1], [2, 3]], dtype='>> x.tobytes() + b'\\x00\\x00\\x01\\x00\\x02\\x00\\x03\\x00' + >>> x.tobytes('C') == x.tobytes() + True + >>> x.tobytes('F') + b'\\x00\\x00\\x02\\x00\\x01\\x00\\x03\\x00' + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('tostring', r""" + a.tostring(order='C') + + A compatibility alias for `~ndarray.tobytes`, with exactly the same + behavior. + + Despite its name, it returns :class:`bytes` not :class:`str`\ s. + + .. deprecated:: 1.19.0 + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('trace', + """ + a.trace(offset=0, axis1=0, axis2=1, dtype=None, out=None) + + Return the sum along diagonals of the array. + + Refer to `numpy.trace` for full documentation. + + See Also + -------- + numpy.trace : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('transpose', + """ + a.transpose(*axes) + + Returns a view of the array with axes transposed. + + Refer to `numpy.transpose` for full documentation. + + Parameters + ---------- + axes : None, tuple of ints, or `n` ints + + * None or no argument: reverses the order of the axes. + + * tuple of ints: `i` in the `j`-th place in the tuple means that the + array's `i`-th axis becomes the transposed array's `j`-th axis. + + * `n` ints: same as an n-tuple of the same ints (this form is + intended simply as a "convenience" alternative to the tuple form). + + Returns + ------- + p : ndarray + View of the array with its axes suitably permuted. + + See Also + -------- + transpose : Equivalent function. + ndarray.T : Array property returning the array transposed. + ndarray.reshape : Give a new shape to an array without changing its data. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> a + array([[1, 2], + [3, 4]]) + >>> a.transpose() + array([[1, 3], + [2, 4]]) + >>> a.transpose((1, 0)) + array([[1, 3], + [2, 4]]) + >>> a.transpose(1, 0) + array([[1, 3], + [2, 4]]) + + >>> a = np.array([1, 2, 3, 4]) + >>> a + array([1, 2, 3, 4]) + >>> a.transpose() + array([1, 2, 3, 4]) + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('var', + """ + a.var(axis=None, dtype=None, out=None, ddof=0, keepdims=False, *, where=True) + + Returns the variance of the array elements, along given axis. + + Refer to `numpy.var` for full documentation. + + See Also + -------- + numpy.var : equivalent function + + """)) + + +add_newdoc('numpy._core.multiarray', 'ndarray', ('view', + """ + a.view([dtype][, type]) + + New view of array with the same data. + + .. note:: + Passing None for ``dtype`` is different from omitting the parameter, + since the former invokes ``dtype(None)`` which is an alias for + ``dtype('float64')``. + + Parameters + ---------- + dtype : data-type or ndarray sub-class, optional + Data-type descriptor of the returned view, e.g., float32 or int16. + Omitting it results in the view having the same data-type as `a`. + This argument can also be specified as an ndarray sub-class, which + then specifies the type of the returned object (this is equivalent to + setting the ``type`` parameter). + type : Python type, optional + Type of the returned view, e.g., ndarray or matrix. Again, omission + of the parameter results in type preservation. + + Notes + ----- + ``a.view()`` is used two different ways: + + ``a.view(some_dtype)`` or ``a.view(dtype=some_dtype)`` constructs a view + of the array's memory with a different data-type. This can cause a + reinterpretation of the bytes of memory. + + ``a.view(ndarray_subclass)`` or ``a.view(type=ndarray_subclass)`` just + returns an instance of `ndarray_subclass` that looks at the same array + (same shape, dtype, etc.) This does not cause a reinterpretation of the + memory. + + For ``a.view(some_dtype)``, if ``some_dtype`` has a different number of + bytes per entry than the previous dtype (for example, converting a regular + array to a structured array), then the last axis of ``a`` must be + contiguous. This axis will be resized in the result. + + .. versionchanged:: 1.23.0 + Only the last axis needs to be contiguous. Previously, the entire array + had to be C-contiguous. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([(-1, 2)], dtype=[('a', np.int8), ('b', np.int8)]) + + Viewing array data using a different type and dtype: + + >>> nonneg = np.dtype([("a", np.uint8), ("b", np.uint8)]) + >>> y = x.view(dtype=nonneg, type=np.recarray) + >>> x["a"] + array([-1], dtype=int8) + >>> y.a + array([255], dtype=uint8) + + Creating a view on a structured array so it can be used in calculations + + >>> x = np.array([(1, 2),(3,4)], dtype=[('a', np.int8), ('b', np.int8)]) + >>> xv = x.view(dtype=np.int8).reshape(-1,2) + >>> xv + array([[1, 2], + [3, 4]], dtype=int8) + >>> xv.mean(0) + array([2., 3.]) + + Making changes to the view changes the underlying array + + >>> xv[0,1] = 20 + >>> x + array([(1, 20), (3, 4)], dtype=[('a', 'i1'), ('b', 'i1')]) + + Using a view to convert an array to a recarray: + + >>> z = x.view(np.recarray) + >>> z.a + array([1, 3], dtype=int8) + + Views share data: + + >>> x[0] = (9, 10) + >>> z[0] + np.record((9, 10), dtype=[('a', 'i1'), ('b', 'i1')]) + + Views that change the dtype size (bytes per entry) should normally be + avoided on arrays defined by slices, transposes, fortran-ordering, etc.: + + >>> x = np.array([[1, 2, 3], [4, 5, 6]], dtype=np.int16) + >>> y = x[:, ::2] + >>> y + array([[1, 3], + [4, 6]], dtype=int16) + >>> y.view(dtype=[('width', np.int16), ('length', np.int16)]) + Traceback (most recent call last): + ... + ValueError: To change to a dtype of a different size, the last axis must be contiguous + >>> z = y.copy() + >>> z.view(dtype=[('width', np.int16), ('length', np.int16)]) + array([[(1, 3)], + [(4, 6)]], dtype=[('width', '>> x = np.arange(2 * 3 * 4, dtype=np.int8).reshape(2, 3, 4) + >>> x.transpose(1, 0, 2).view(np.int16) + array([[[ 256, 770], + [3340, 3854]], + + [[1284, 1798], + [4368, 4882]], + + [[2312, 2826], + [5396, 5910]]], dtype=int16) + + """)) + + +############################################################################## +# +# umath functions +# +############################################################################## + +add_newdoc('numpy._core.umath', 'frompyfunc', + """ + frompyfunc(func, /, nin, nout, *[, identity]) + + Takes an arbitrary Python function and returns a NumPy ufunc. + + Can be used, for example, to add broadcasting to a built-in Python + function (see Examples section). + + Parameters + ---------- + func : Python function object + An arbitrary Python function. + nin : int + The number of input arguments. + nout : int + The number of objects returned by `func`. + identity : object, optional + The value to use for the `~numpy.ufunc.identity` attribute of the resulting + object. If specified, this is equivalent to setting the underlying + C ``identity`` field to ``PyUFunc_IdentityValue``. + If omitted, the identity is set to ``PyUFunc_None``. Note that this is + _not_ equivalent to setting the identity to ``None``, which implies the + operation is reorderable. + + Returns + ------- + out : ufunc + Returns a NumPy universal function (``ufunc``) object. + + See Also + -------- + vectorize : Evaluates pyfunc over input arrays using broadcasting rules of numpy. + + Notes + ----- + The returned ufunc always returns PyObject arrays. + + Examples + -------- + Use frompyfunc to add broadcasting to the Python function ``oct``: + + >>> import numpy as np + >>> oct_array = np.frompyfunc(oct, 1, 1) + >>> oct_array(np.array((10, 30, 100))) + array(['0o12', '0o36', '0o144'], dtype=object) + >>> np.array((oct(10), oct(30), oct(100))) # for comparison + array(['0o12', '0o36', '0o144'], dtype='doc is NULL.) + + Parameters + ---------- + ufunc : numpy.ufunc + A ufunc whose current doc is NULL. + new_docstring : string + The new docstring for the ufunc. + + Notes + ----- + This method allocates memory for new_docstring on + the heap. Technically this creates a memory leak, since this + memory will not be reclaimed until the end of the program + even if the ufunc itself is removed. However this will only + be a problem if the user is repeatedly creating ufuncs with + no documentation, adding documentation via add_newdoc_ufunc, + and then throwing away the ufunc. + """) + +add_newdoc('numpy._core.multiarray', 'get_handler_name', + """ + get_handler_name(a: ndarray) -> str,None + + Return the name of the memory handler used by `a`. If not provided, return + the name of the memory handler that will be used to allocate data for the + next `ndarray` in this context. May return None if `a` does not own its + memory, in which case you can traverse ``a.base`` for a memory handler. + """) + +add_newdoc('numpy._core.multiarray', 'get_handler_version', + """ + get_handler_version(a: ndarray) -> int,None + + Return the version of the memory handler used by `a`. If not provided, + return the version of the memory handler that will be used to allocate data + for the next `ndarray` in this context. May return None if `a` does not own + its memory, in which case you can traverse ``a.base`` for a memory handler. + """) + +add_newdoc('numpy._core._multiarray_umath', '_array_converter', + """ + _array_converter(*array_likes) + + Helper to convert one or more objects to arrays. Integrates machinery + to deal with the ``result_type`` and ``__array_wrap__``. + + The reason for this is that e.g. ``result_type`` needs to convert to arrays + to find the ``dtype``. But converting to an array before calling + ``result_type`` would incorrectly "forget" whether it was a Python int, + float, or complex. + """) + +add_newdoc( + 'numpy._core._multiarray_umath', '_array_converter', ('scalar_input', + """ + A tuple which indicates for each input whether it was a scalar that + was coerced to a 0-D array (and was not already an array or something + converted via a protocol like ``__array__()``). + """)) + +add_newdoc('numpy._core._multiarray_umath', '_array_converter', ('as_arrays', + """ + as_arrays(/, subok=True, pyscalars="convert_if_no_array") + + Return the inputs as arrays or scalars. + + Parameters + ---------- + subok : True or False, optional + Whether array subclasses are preserved. + pyscalars : {"convert", "preserve", "convert_if_no_array"}, optional + To allow NEP 50 weak promotion later, it may be desirable to preserve + Python scalars. As default, these are preserved unless all inputs + are Python scalars. "convert" enforces an array return. + """)) + +add_newdoc('numpy._core._multiarray_umath', '_array_converter', ('result_type', + """result_type(/, extra_dtype=None, ensure_inexact=False) + + Find the ``result_type`` just as ``np.result_type`` would, but taking + into account that the original inputs (before converting to an array) may + have been Python scalars with weak promotion. + + Parameters + ---------- + extra_dtype : dtype instance or class + An additional DType or dtype instance to promote (e.g. could be used + to ensure the result precision is at least float32). + ensure_inexact : True or False + When ``True``, ensures a floating point (or complex) result replacing + the ``arr * 1.`` or ``result_type(..., 0.0)`` pattern. + """)) + +add_newdoc('numpy._core._multiarray_umath', '_array_converter', ('wrap', + """ + wrap(arr, /, to_scalar=None) + + Call ``__array_wrap__`` on ``arr`` if ``arr`` is not the same subclass + as the input the ``__array_wrap__`` method was retrieved from. + + Parameters + ---------- + arr : ndarray + The object to be wrapped. Normally an ndarray or subclass, + although for backward compatibility NumPy scalars are also accepted + (these will be converted to a NumPy array before being passed on to + the ``__array_wrap__`` method). + to_scalar : {True, False, None}, optional + When ``True`` will convert a 0-d array to a scalar via ``result[()]`` + (with a fast-path for non-subclasses). If ``False`` the result should + be an array-like (as ``__array_wrap__`` is free to return a non-array). + By default (``None``), a scalar is returned if all inputs were scalar. + """)) + + +add_newdoc('numpy._core.multiarray', '_get_madvise_hugepage', + """ + _get_madvise_hugepage() -> bool + + Get use of ``madvise (2)`` MADV_HUGEPAGE support when + allocating the array data. Returns the currently set value. + See `global_state` for more information. + """) + +add_newdoc('numpy._core.multiarray', '_set_madvise_hugepage', + """ + _set_madvise_hugepage(enabled: bool) -> bool + + Set or unset use of ``madvise (2)`` MADV_HUGEPAGE support when + allocating the array data. Returns the previously set value. + See `global_state` for more information. + """) + + +############################################################################## +# +# Documentation for ufunc attributes and methods +# +############################################################################## + + +############################################################################## +# +# ufunc object +# +############################################################################## + +add_newdoc('numpy._core', 'ufunc', + """ + Functions that operate element by element on whole arrays. + + To see the documentation for a specific ufunc, use `info`. For + example, ``np.info(np.sin)``. Because ufuncs are written in C + (for speed) and linked into Python with NumPy's ufunc facility, + Python's help() function finds this page whenever help() is called + on a ufunc. + + A detailed explanation of ufuncs can be found in the docs for :ref:`ufuncs`. + + **Calling ufuncs:** ``op(*x[, out], where=True, **kwargs)`` + + Apply `op` to the arguments `*x` elementwise, broadcasting the arguments. + + The broadcasting rules are: + + * Dimensions of length 1 may be prepended to either array. + * Arrays may be repeated along dimensions of length 1. + + Parameters + ---------- + *x : array_like + Input arrays. + out : ndarray, None, or tuple of ndarray and None, optional + Alternate array object(s) in which to put the result; if provided, it + must have a shape that the inputs broadcast to. A tuple of arrays + (possible only as a keyword argument) must have length equal to the + number of outputs; use None for uninitialized outputs to be + allocated by the ufunc. + where : array_like, optional + This condition is broadcast over the input. At locations where the + condition is True, the `out` array will be set to the ufunc result. + Elsewhere, the `out` array will retain its original value. + Note that if an uninitialized `out` array is created via the default + ``out=None``, locations within it where the condition is False will + remain uninitialized. + **kwargs + For other keyword-only arguments, see the :ref:`ufunc docs `. + + Returns + ------- + r : ndarray or tuple of ndarray + `r` will have the shape that the arrays in `x` broadcast to; if `out` is + provided, it will be returned. If not, `r` will be allocated and + may contain uninitialized values. If the function has more than one + output, then the result will be a tuple of arrays. + + """) + + +############################################################################## +# +# ufunc attributes +# +############################################################################## + +add_newdoc('numpy._core', 'ufunc', ('identity', + """ + The identity value. + + Data attribute containing the identity element for the ufunc, + if it has one. If it does not, the attribute value is None. + + Examples + -------- + >>> import numpy as np + >>> np.add.identity + 0 + >>> np.multiply.identity + 1 + >>> np.power.identity + 1 + >>> print(np.exp.identity) + None + """)) + +add_newdoc('numpy._core', 'ufunc', ('nargs', + """ + The number of arguments. + + Data attribute containing the number of arguments the ufunc takes, including + optional ones. + + Notes + ----- + Typically this value will be one more than what you might expect + because all ufuncs take the optional "out" argument. + + Examples + -------- + >>> import numpy as np + >>> np.add.nargs + 3 + >>> np.multiply.nargs + 3 + >>> np.power.nargs + 3 + >>> np.exp.nargs + 2 + """)) + +add_newdoc('numpy._core', 'ufunc', ('nin', + """ + The number of inputs. + + Data attribute containing the number of arguments the ufunc treats as input. + + Examples + -------- + >>> import numpy as np + >>> np.add.nin + 2 + >>> np.multiply.nin + 2 + >>> np.power.nin + 2 + >>> np.exp.nin + 1 + """)) + +add_newdoc('numpy._core', 'ufunc', ('nout', + """ + The number of outputs. + + Data attribute containing the number of arguments the ufunc treats as output. + + Notes + ----- + Since all ufuncs can take output arguments, this will always be at least 1. + + Examples + -------- + >>> import numpy as np + >>> np.add.nout + 1 + >>> np.multiply.nout + 1 + >>> np.power.nout + 1 + >>> np.exp.nout + 1 + + """)) + +add_newdoc('numpy._core', 'ufunc', ('ntypes', + """ + The number of types. + + The number of numerical NumPy types - of which there are 18 total - on which + the ufunc can operate. + + See Also + -------- + numpy.ufunc.types + + Examples + -------- + >>> import numpy as np + >>> np.add.ntypes + 18 + >>> np.multiply.ntypes + 18 + >>> np.power.ntypes + 17 + >>> np.exp.ntypes + 7 + >>> np.remainder.ntypes + 14 + + """)) + +add_newdoc('numpy._core', 'ufunc', ('types', + """ + Returns a list with types grouped input->output. + + Data attribute listing the data-type "Domain-Range" groupings the ufunc can + deliver. The data-types are given using the character codes. + + See Also + -------- + numpy.ufunc.ntypes + + Examples + -------- + >>> import numpy as np + >>> np.add.types + ['??->?', 'bb->b', 'BB->B', 'hh->h', 'HH->H', 'ii->i', 'II->I', 'll->l', + 'LL->L', 'qq->q', 'QQ->Q', 'ff->f', 'dd->d', 'gg->g', 'FF->F', 'DD->D', + 'GG->G', 'OO->O'] + + >>> np.multiply.types + ['??->?', 'bb->b', 'BB->B', 'hh->h', 'HH->H', 'ii->i', 'II->I', 'll->l', + 'LL->L', 'qq->q', 'QQ->Q', 'ff->f', 'dd->d', 'gg->g', 'FF->F', 'DD->D', + 'GG->G', 'OO->O'] + + >>> np.power.types + ['bb->b', 'BB->B', 'hh->h', 'HH->H', 'ii->i', 'II->I', 'll->l', 'LL->L', + 'qq->q', 'QQ->Q', 'ff->f', 'dd->d', 'gg->g', 'FF->F', 'DD->D', 'GG->G', + 'OO->O'] + + >>> np.exp.types + ['f->f', 'd->d', 'g->g', 'F->F', 'D->D', 'G->G', 'O->O'] + + >>> np.remainder.types + ['bb->b', 'BB->B', 'hh->h', 'HH->H', 'ii->i', 'II->I', 'll->l', 'LL->L', + 'qq->q', 'QQ->Q', 'ff->f', 'dd->d', 'gg->g', 'OO->O'] + + """)) + +add_newdoc('numpy._core', 'ufunc', ('signature', + """ + Definition of the core elements a generalized ufunc operates on. + + The signature determines how the dimensions of each input/output array + are split into core and loop dimensions: + + 1. Each dimension in the signature is matched to a dimension of the + corresponding passed-in array, starting from the end of the shape tuple. + 2. Core dimensions assigned to the same label in the signature must have + exactly matching sizes, no broadcasting is performed. + 3. The core dimensions are removed from all inputs and the remaining + dimensions are broadcast together, defining the loop dimensions. + + Notes + ----- + Generalized ufuncs are used internally in many linalg functions, and in + the testing suite; the examples below are taken from these. + For ufuncs that operate on scalars, the signature is None, which is + equivalent to '()' for every argument. + + Examples + -------- + >>> import numpy as np + >>> np.linalg._umath_linalg.det.signature + '(m,m)->()' + >>> np.matmul.signature + '(n?,k),(k,m?)->(n?,m?)' + >>> np.add.signature is None + True # equivalent to '(),()->()' + """)) + +############################################################################## +# +# ufunc methods +# +############################################################################## + +add_newdoc('numpy._core', 'ufunc', ('reduce', + """ + reduce(array, axis=0, dtype=None, out=None, keepdims=False, initial=, where=True) + + Reduces `array`'s dimension by one, by applying ufunc along one axis. + + Let :math:`array.shape = (N_0, ..., N_i, ..., N_{M-1})`. Then + :math:`ufunc.reduce(array, axis=i)[k_0, ..,k_{i-1}, k_{i+1}, .., k_{M-1}]` = + the result of iterating `j` over :math:`range(N_i)`, cumulatively applying + ufunc to each :math:`array[k_0, ..,k_{i-1}, j, k_{i+1}, .., k_{M-1}]`. + For a one-dimensional array, reduce produces results equivalent to: + :: + + r = op.identity # op = ufunc + for i in range(len(A)): + r = op(r, A[i]) + return r + + For example, add.reduce() is equivalent to sum(). + + Parameters + ---------- + array : array_like + The array to act on. + axis : None or int or tuple of ints, optional + Axis or axes along which a reduction is performed. + The default (`axis` = 0) is perform a reduction over the first + dimension of the input array. `axis` may be negative, in + which case it counts from the last to the first axis. + + If this is None, a reduction is performed over all the axes. + If this is a tuple of ints, a reduction is performed on multiple + axes, instead of a single axis or all the axes as before. + + For operations which are either not commutative or not associative, + doing a reduction over multiple axes is not well-defined. The + ufuncs do not currently raise an exception in this case, but will + likely do so in the future. + dtype : data-type code, optional + The data type used to perform the operation. Defaults to that of + ``out`` if given, and the data type of ``array`` otherwise (though + upcast to conserve precision for some cases, such as + ``numpy.add.reduce`` for integer or boolean input). + out : ndarray, None, or tuple of ndarray and None, optional + A location into which the result is stored. If not provided or None, + a freshly-allocated array is returned. For consistency with + ``ufunc.__call__``, if given as a keyword, this may be wrapped in a + 1-element tuple. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `array`. + initial : scalar, optional + The value with which to start the reduction. + If the ufunc has no identity or the dtype is object, this defaults + to None - otherwise it defaults to ufunc.identity. + If ``None`` is given, the first element of the reduction is used, + and an error is thrown if the reduction is empty. + where : array_like of bool, optional + A boolean array which is broadcasted to match the dimensions + of `array`, and selects elements to include in the reduction. Note + that for ufuncs like ``minimum`` that do not have an identity + defined, one has to pass in also ``initial``. + + Returns + ------- + r : ndarray + The reduced array. If `out` was supplied, `r` is a reference to it. + + Examples + -------- + >>> import numpy as np + >>> np.multiply.reduce([2,3,5]) + 30 + + A multi-dimensional array example: + + >>> X = np.arange(8).reshape((2,2,2)) + >>> X + array([[[0, 1], + [2, 3]], + [[4, 5], + [6, 7]]]) + >>> np.add.reduce(X, 0) + array([[ 4, 6], + [ 8, 10]]) + >>> np.add.reduce(X) # confirm: default axis value is 0 + array([[ 4, 6], + [ 8, 10]]) + >>> np.add.reduce(X, 1) + array([[ 2, 4], + [10, 12]]) + >>> np.add.reduce(X, 2) + array([[ 1, 5], + [ 9, 13]]) + + You can use the ``initial`` keyword argument to initialize the reduction + with a different value, and ``where`` to select specific elements to include: + + >>> np.add.reduce([10], initial=5) + 15 + >>> np.add.reduce(np.ones((2, 2, 2)), axis=(0, 2), initial=10) + array([14., 14.]) + >>> a = np.array([10., np.nan, 10]) + >>> np.add.reduce(a, where=~np.isnan(a)) + 20.0 + + Allows reductions of empty arrays where they would normally fail, i.e. + for ufuncs without an identity. + + >>> np.minimum.reduce([], initial=np.inf) + inf + >>> np.minimum.reduce([[1., 2.], [3., 4.]], initial=10., where=[True, False]) + array([ 1., 10.]) + >>> np.minimum.reduce([]) + Traceback (most recent call last): + ... + ValueError: zero-size array to reduction operation minimum which has no identity + """)) + +add_newdoc('numpy._core', 'ufunc', ('accumulate', + """ + accumulate(array, axis=0, dtype=None, out=None) + + Accumulate the result of applying the operator to all elements. + + For a one-dimensional array, accumulate produces results equivalent to:: + + r = np.empty(len(A)) + t = op.identity # op = the ufunc being applied to A's elements + for i in range(len(A)): + t = op(t, A[i]) + r[i] = t + return r + + For example, add.accumulate() is equivalent to np.cumsum(). + + For a multi-dimensional array, accumulate is applied along only one + axis (axis zero by default; see Examples below) so repeated use is + necessary if one wants to accumulate over multiple axes. + + Parameters + ---------- + array : array_like + The array to act on. + axis : int, optional + The axis along which to apply the accumulation; default is zero. + dtype : data-type code, optional + The data-type used to represent the intermediate results. Defaults + to the data-type of the output array if such is provided, or the + data-type of the input array if no output array is provided. + out : ndarray, None, or tuple of ndarray and None, optional + A location into which the result is stored. If not provided or None, + a freshly-allocated array is returned. For consistency with + ``ufunc.__call__``, if given as a keyword, this may be wrapped in a + 1-element tuple. + + Returns + ------- + r : ndarray + The accumulated values. If `out` was supplied, `r` is a reference to + `out`. + + Examples + -------- + 1-D array examples: + + >>> import numpy as np + >>> np.add.accumulate([2, 3, 5]) + array([ 2, 5, 10]) + >>> np.multiply.accumulate([2, 3, 5]) + array([ 2, 6, 30]) + + 2-D array examples: + + >>> I = np.eye(2) + >>> I + array([[1., 0.], + [0., 1.]]) + + Accumulate along axis 0 (rows), down columns: + + >>> np.add.accumulate(I, 0) + array([[1., 0.], + [1., 1.]]) + >>> np.add.accumulate(I) # no axis specified = axis zero + array([[1., 0.], + [1., 1.]]) + + Accumulate along axis 1 (columns), through rows: + + >>> np.add.accumulate(I, 1) + array([[1., 1.], + [0., 1.]]) + + """)) + +add_newdoc('numpy._core', 'ufunc', ('reduceat', + """ + reduceat(array, indices, axis=0, dtype=None, out=None) + + Performs a (local) reduce with specified slices over a single axis. + + For i in ``range(len(indices))``, `reduceat` computes + ``ufunc.reduce(array[indices[i]:indices[i+1]])``, which becomes the i-th + generalized "row" parallel to `axis` in the final result (i.e., in a + 2-D array, for example, if `axis = 0`, it becomes the i-th row, but if + `axis = 1`, it becomes the i-th column). There are three exceptions to this: + + * when ``i = len(indices) - 1`` (so for the last index), + ``indices[i+1] = array.shape[axis]``. + * if ``indices[i] >= indices[i + 1]``, the i-th generalized "row" is + simply ``array[indices[i]]``. + * if ``indices[i] >= len(array)`` or ``indices[i] < 0``, an error is raised. + + The shape of the output depends on the size of `indices`, and may be + larger than `array` (this happens if ``len(indices) > array.shape[axis]``). + + Parameters + ---------- + array : array_like + The array to act on. + indices : array_like + Paired indices, comma separated (not colon), specifying slices to + reduce. + axis : int, optional + The axis along which to apply the reduceat. + dtype : data-type code, optional + The data type used to perform the operation. Defaults to that of + ``out`` if given, and the data type of ``array`` otherwise (though + upcast to conserve precision for some cases, such as + ``numpy.add.reduce`` for integer or boolean input). + out : ndarray, None, or tuple of ndarray and None, optional + A location into which the result is stored. If not provided or None, + a freshly-allocated array is returned. For consistency with + ``ufunc.__call__``, if given as a keyword, this may be wrapped in a + 1-element tuple. + + Returns + ------- + r : ndarray + The reduced values. If `out` was supplied, `r` is a reference to + `out`. + + Notes + ----- + A descriptive example: + + If `array` is 1-D, the function `ufunc.accumulate(array)` is the same as + ``ufunc.reduceat(array, indices)[::2]`` where `indices` is + ``range(len(array) - 1)`` with a zero placed + in every other element: + ``indices = zeros(2 * len(array) - 1)``, + ``indices[1::2] = range(1, len(array))``. + + Don't be fooled by this attribute's name: `reduceat(array)` is not + necessarily smaller than `array`. + + Examples + -------- + To take the running sum of four successive values: + + >>> import numpy as np + >>> np.add.reduceat(np.arange(8),[0,4, 1,5, 2,6, 3,7])[::2] + array([ 6, 10, 14, 18]) + + A 2-D example: + + >>> x = np.linspace(0, 15, 16).reshape(4,4) + >>> x + array([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.], + [12., 13., 14., 15.]]) + + :: + + # reduce such that the result has the following five rows: + # [row1 + row2 + row3] + # [row4] + # [row2] + # [row3] + # [row1 + row2 + row3 + row4] + + >>> np.add.reduceat(x, [0, 3, 1, 2, 0]) + array([[12., 15., 18., 21.], + [12., 13., 14., 15.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.], + [24., 28., 32., 36.]]) + + :: + + # reduce such that result has the following two columns: + # [col1 * col2 * col3, col4] + + >>> np.multiply.reduceat(x, [0, 3], 1) + array([[ 0., 3.], + [ 120., 7.], + [ 720., 11.], + [2184., 15.]]) + + """)) + +add_newdoc('numpy._core', 'ufunc', ('outer', + r""" + outer(A, B, /, **kwargs) + + Apply the ufunc `op` to all pairs (a, b) with a in `A` and b in `B`. + + Let ``M = A.ndim``, ``N = B.ndim``. Then the result, `C`, of + ``op.outer(A, B)`` is an array of dimension M + N such that: + + .. math:: C[i_0, ..., i_{M-1}, j_0, ..., j_{N-1}] = + op(A[i_0, ..., i_{M-1}], B[j_0, ..., j_{N-1}]) + + For `A` and `B` one-dimensional, this is equivalent to:: + + r = empty(len(A),len(B)) + for i in range(len(A)): + for j in range(len(B)): + r[i,j] = op(A[i], B[j]) # op = ufunc in question + + Parameters + ---------- + A : array_like + First array + B : array_like + Second array + kwargs : any + Arguments to pass on to the ufunc. Typically `dtype` or `out`. + See `ufunc` for a comprehensive overview of all available arguments. + + Returns + ------- + r : ndarray + Output array + + See Also + -------- + numpy.outer : A less powerful version of ``np.multiply.outer`` + that `ravel`\ s all inputs to 1D. This exists + primarily for compatibility with old code. + + tensordot : ``np.tensordot(a, b, axes=((), ()))`` and + ``np.multiply.outer(a, b)`` behave same for all + dimensions of a and b. + + Examples + -------- + >>> np.multiply.outer([1, 2, 3], [4, 5, 6]) + array([[ 4, 5, 6], + [ 8, 10, 12], + [12, 15, 18]]) + + A multi-dimensional example: + + >>> A = np.array([[1, 2, 3], [4, 5, 6]]) + >>> A.shape + (2, 3) + >>> B = np.array([[1, 2, 3, 4]]) + >>> B.shape + (1, 4) + >>> C = np.multiply.outer(A, B) + >>> C.shape; C + (2, 3, 1, 4) + array([[[[ 1, 2, 3, 4]], + [[ 2, 4, 6, 8]], + [[ 3, 6, 9, 12]]], + [[[ 4, 8, 12, 16]], + [[ 5, 10, 15, 20]], + [[ 6, 12, 18, 24]]]]) + + """)) + +add_newdoc('numpy._core', 'ufunc', ('at', + """ + at(a, indices, b=None, /) + + Performs unbuffered in place operation on operand 'a' for elements + specified by 'indices'. For addition ufunc, this method is equivalent to + ``a[indices] += b``, except that results are accumulated for elements that + are indexed more than once. For example, ``a[[0,0]] += 1`` will only + increment the first element once because of buffering, whereas + ``add.at(a, [0,0], 1)`` will increment the first element twice. + + Parameters + ---------- + a : array_like + The array to perform in place operation on. + indices : array_like or tuple + Array like index object or slice object for indexing into first + operand. If first operand has multiple dimensions, indices can be a + tuple of array like index objects or slice objects. + b : array_like + Second operand for ufuncs requiring two operands. Operand must be + broadcastable over first operand after indexing or slicing. + + Examples + -------- + Set items 0 and 1 to their negative values: + + >>> import numpy as np + >>> a = np.array([1, 2, 3, 4]) + >>> np.negative.at(a, [0, 1]) + >>> a + array([-1, -2, 3, 4]) + + Increment items 0 and 1, and increment item 2 twice: + + >>> a = np.array([1, 2, 3, 4]) + >>> np.add.at(a, [0, 1, 2, 2], 1) + >>> a + array([2, 3, 5, 4]) + + Add items 0 and 1 in first array to second array, + and store results in first array: + + >>> a = np.array([1, 2, 3, 4]) + >>> b = np.array([1, 2]) + >>> np.add.at(a, [0, 1], b) + >>> a + array([2, 4, 3, 4]) + + """)) + +add_newdoc('numpy._core', 'ufunc', ('resolve_dtypes', + """ + resolve_dtypes(dtypes, *, signature=None, casting=None, reduction=False) + + Find the dtypes NumPy will use for the operation. Both input and + output dtypes are returned and may differ from those provided. + + .. note:: + + This function always applies NEP 50 rules since it is not provided + any actual values. The Python types ``int``, ``float``, and + ``complex`` thus behave weak and should be passed for "untyped" + Python input. + + Parameters + ---------- + dtypes : tuple of dtypes, None, or literal int, float, complex + The input dtypes for each operand. Output operands can be + None, indicating that the dtype must be found. + signature : tuple of DTypes or None, optional + If given, enforces exact DType (classes) of the specific operand. + The ufunc ``dtype`` argument is equivalent to passing a tuple with + only output dtypes set. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + The casting mode when casting is necessary. This is identical to + the ufunc call casting modes. + reduction : boolean + If given, the resolution assumes a reduce operation is happening + which slightly changes the promotion and type resolution rules. + `dtypes` is usually something like ``(None, np.dtype("i2"), None)`` + for reductions (first input is also the output). + + .. note:: + + The default casting mode is "same_kind", however, as of + NumPy 1.24, NumPy uses "unsafe" for reductions. + + Returns + ------- + dtypes : tuple of dtypes + The dtypes which NumPy would use for the calculation. Note that + dtypes may not match the passed in ones (casting is necessary). + + + Examples + -------- + This API requires passing dtypes, define them for convenience: + + >>> import numpy as np + >>> int32 = np.dtype("int32") + >>> float32 = np.dtype("float32") + + The typical ufunc call does not pass an output dtype. `numpy.add` has two + inputs and one output, so leave the output as ``None`` (not provided): + + >>> np.add.resolve_dtypes((int32, float32, None)) + (dtype('float64'), dtype('float64'), dtype('float64')) + + The loop found uses "float64" for all operands (including the output), the + first input would be cast. + + ``resolve_dtypes`` supports "weak" handling for Python scalars by passing + ``int``, ``float``, or ``complex``: + + >>> np.add.resolve_dtypes((float32, float, None)) + (dtype('float32'), dtype('float32'), dtype('float32')) + + Where the Python ``float`` behaves similar to a Python value ``0.0`` + in a ufunc call. (See :ref:`NEP 50 ` for details.) + + """)) + +add_newdoc('numpy._core', 'ufunc', ('_resolve_dtypes_and_context', + """ + _resolve_dtypes_and_context(dtypes, *, signature=None, casting=None, reduction=False) + + See `numpy.ufunc.resolve_dtypes` for parameter information. This + function is considered *unstable*. You may use it, but the returned + information is NumPy version specific and expected to change. + Large API/ABI changes are not expected, but a new NumPy version is + expected to require updating code using this functionality. + + This function is designed to be used in conjunction with + `numpy.ufunc._get_strided_loop`. The calls are split to mirror the C API + and allow future improvements. + + Returns + ------- + dtypes : tuple of dtypes + call_info : + PyCapsule with all necessary information to get access to low level + C calls. See `numpy.ufunc._get_strided_loop` for more information. + + """)) + +add_newdoc('numpy._core', 'ufunc', ('_get_strided_loop', + """ + _get_strided_loop(call_info, /, *, fixed_strides=None) + + This function fills in the ``call_info`` capsule to include all + information necessary to call the low-level strided loop from NumPy. + + See notes for more information. + + Parameters + ---------- + call_info : PyCapsule + The PyCapsule returned by `numpy.ufunc._resolve_dtypes_and_context`. + fixed_strides : tuple of int or None, optional + A tuple with fixed byte strides of all input arrays. NumPy may use + this information to find specialized loops, so any call must follow + the given stride. Use ``None`` to indicate that the stride is not + known (or not fixed) for all calls. + + Notes + ----- + Together with `numpy.ufunc._resolve_dtypes_and_context` this function + gives low-level access to the NumPy ufunc loops. + The first function does general preparation and returns the required + information. It returns this as a C capsule with the version specific + name ``numpy_1.24_ufunc_call_info``. + The NumPy 1.24 ufunc call info capsule has the following layout:: + + typedef struct { + PyArrayMethod_StridedLoop *strided_loop; + PyArrayMethod_Context *context; + NpyAuxData *auxdata; + + /* Flag information (expected to change) */ + npy_bool requires_pyapi; /* GIL is required by loop */ + + /* Loop doesn't set FPE flags; if not set check FPE flags */ + npy_bool no_floatingpoint_errors; + } ufunc_call_info; + + Note that the first call only fills in the ``context``. The call to + ``_get_strided_loop`` fills in all other data. The main thing to note is + that the new-style loops return 0 on success, -1 on failure. They are + passed context as new first input and ``auxdata`` as (replaced) last. + + Only the ``strided_loop``signature is considered guaranteed stable + for NumPy bug-fix releases. All other API is tied to the experimental + API versioning. + + The reason for the split call is that cast information is required to + decide what the fixed-strides will be. + + NumPy ties the lifetime of the ``auxdata`` information to the capsule. + + """)) + + + +############################################################################## +# +# Documentation for dtype attributes and methods +# +############################################################################## + +############################################################################## +# +# dtype object +# +############################################################################## + +add_newdoc('numpy._core.multiarray', 'dtype', + """ + dtype(dtype, align=False, copy=False, [metadata]) + + Create a data type object. + + A numpy array is homogeneous, and contains elements described by a + dtype object. A dtype object can be constructed from different + combinations of fundamental numeric types. + + Parameters + ---------- + dtype + Object to be converted to a data type object. + align : bool, optional + Add padding to the fields to match what a C compiler would output + for a similar C-struct. Can be ``True`` only if `obj` is a dictionary + or a comma-separated string. If a struct dtype is being created, + this also sets a sticky alignment flag ``isalignedstruct``. + copy : bool, optional + Make a new copy of the data-type object. If ``False``, the result + may just be a reference to a built-in data-type object. + metadata : dict, optional + An optional dictionary with dtype metadata. + + See also + -------- + result_type + + Examples + -------- + Using array-scalar type: + + >>> import numpy as np + >>> np.dtype(np.int16) + dtype('int16') + + Structured type, one field name 'f1', containing int16: + + >>> np.dtype([('f1', np.int16)]) + dtype([('f1', '>> np.dtype([('f1', [('f1', np.int16)])]) + dtype([('f1', [('f1', '>> np.dtype([('f1', np.uint64), ('f2', np.int32)]) + dtype([('f1', '>> np.dtype([('a','f8'),('b','S10')]) + dtype([('a', '>> np.dtype("i4, (2,3)f8") + dtype([('f0', '>> np.dtype([('hello',(np.int64,3)),('world',np.void,10)]) + dtype([('hello', '>> np.dtype((np.int16, {'x':(np.int8,0), 'y':(np.int8,1)})) + dtype((numpy.int16, [('x', 'i1'), ('y', 'i1')])) + + Using dictionaries. Two fields named 'gender' and 'age': + + >>> np.dtype({'names':['gender','age'], 'formats':['S1',np.uint8]}) + dtype([('gender', 'S1'), ('age', 'u1')]) + + Offsets in bytes, here 0 and 25: + + >>> np.dtype({'surname':('S25',0),'age':(np.uint8,25)}) + dtype([('surname', 'S25'), ('age', 'u1')]) + + """) + +############################################################################## +# +# dtype attributes +# +############################################################################## + +add_newdoc('numpy._core.multiarray', 'dtype', ('alignment', + """ + The required alignment (bytes) of this data-type according to the compiler. + + More information is available in the C-API section of the manual. + + Examples + -------- + + >>> import numpy as np + >>> x = np.dtype('i4') + >>> x.alignment + 4 + + >>> x = np.dtype(float) + >>> x.alignment + 8 + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('byteorder', + """ + A character indicating the byte-order of this data-type object. + + One of: + + === ============== + '=' native + '<' little-endian + '>' big-endian + '|' not applicable + === ============== + + All built-in data-type objects have byteorder either '=' or '|'. + + Examples + -------- + + >>> import numpy as np + >>> dt = np.dtype('i2') + >>> dt.byteorder + '=' + >>> # endian is not relevant for 8 bit numbers + >>> np.dtype('i1').byteorder + '|' + >>> # or ASCII strings + >>> np.dtype('S2').byteorder + '|' + >>> # Even if specific code is given, and it is native + >>> # '=' is the byteorder + >>> import sys + >>> sys_is_le = sys.byteorder == 'little' + >>> native_code = '<' if sys_is_le else '>' + >>> swapped_code = '>' if sys_is_le else '<' + >>> dt = np.dtype(native_code + 'i2') + >>> dt.byteorder + '=' + >>> # Swapped code shows up as itself + >>> dt = np.dtype(swapped_code + 'i2') + >>> dt.byteorder == swapped_code + True + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('char', + """A unique character code for each of the 21 different built-in types. + + Examples + -------- + + >>> import numpy as np + >>> x = np.dtype(float) + >>> x.char + 'd' + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('descr', + """ + `__array_interface__` description of the data-type. + + The format is that required by the 'descr' key in the + `__array_interface__` attribute. + + Warning: This attribute exists specifically for `__array_interface__`, + and passing it directly to `numpy.dtype` will not accurately reconstruct + some dtypes (e.g., scalar and subarray dtypes). + + Examples + -------- + + >>> import numpy as np + >>> x = np.dtype(float) + >>> x.descr + [('', '>> dt = np.dtype([('name', np.str_, 16), ('grades', np.float64, (2,))]) + >>> dt.descr + [('name', '>> import numpy as np + >>> dt = np.dtype([('name', np.str_, 16), ('grades', np.float64, (2,))]) + >>> print(dt.fields) + {'grades': (dtype(('float64',(2,))), 16), 'name': (dtype('|S16'), 0)} + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('flags', + """ + Bit-flags describing how this data type is to be interpreted. + + Bit-masks are in ``numpy._core.multiarray`` as the constants + `ITEM_HASOBJECT`, `LIST_PICKLE`, `ITEM_IS_POINTER`, `NEEDS_INIT`, + `NEEDS_PYAPI`, `USE_GETITEM`, `USE_SETITEM`. A full explanation + of these flags is in C-API documentation; they are largely useful + for user-defined data-types. + + The following example demonstrates that operations on this particular + dtype requires Python C-API. + + Examples + -------- + + >>> import numpy as np + >>> x = np.dtype([('a', np.int32, 8), ('b', np.float64, 6)]) + >>> x.flags + 16 + >>> np._core.multiarray.NEEDS_PYAPI + 16 + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('hasobject', + """ + Boolean indicating whether this dtype contains any reference-counted + objects in any fields or sub-dtypes. + + Recall that what is actually in the ndarray memory representing + the Python object is the memory address of that object (a pointer). + Special handling may be required, and this attribute is useful for + distinguishing data types that may contain arbitrary Python objects + and data-types that won't. + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('isbuiltin', + """ + Integer indicating how this dtype relates to the built-in dtypes. + + Read-only. + + = ======================================================================== + 0 if this is a structured array type, with fields + 1 if this is a dtype compiled into numpy (such as ints, floats etc) + 2 if the dtype is for a user-defined numpy type + A user-defined type uses the numpy C-API machinery to extend + numpy to handle a new array type. See + :ref:`user.user-defined-data-types` in the NumPy manual. + = ======================================================================== + + Examples + -------- + + >>> import numpy as np + >>> dt = np.dtype('i2') + >>> dt.isbuiltin + 1 + >>> dt = np.dtype('f8') + >>> dt.isbuiltin + 1 + >>> dt = np.dtype([('field1', 'f8')]) + >>> dt.isbuiltin + 0 + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('isnative', + """ + Boolean indicating whether the byte order of this dtype is native + to the platform. + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('isalignedstruct', + """ + Boolean indicating whether the dtype is a struct which maintains + field alignment. This flag is sticky, so when combining multiple + structs together, it is preserved and produces new dtypes which + are also aligned. + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('itemsize', + """ + The element size of this data-type object. + + For 18 of the 21 types this number is fixed by the data-type. + For the flexible data-types, this number can be anything. + + Examples + -------- + + >>> import numpy as np + >>> arr = np.array([[1, 2], [3, 4]]) + >>> arr.dtype + dtype('int64') + >>> arr.itemsize + 8 + + >>> dt = np.dtype([('name', np.str_, 16), ('grades', np.float64, (2,))]) + >>> dt.itemsize + 80 + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('kind', + """ + A character code (one of 'biufcmMOSUV') identifying the general kind of data. + + = ====================== + b boolean + i signed integer + u unsigned integer + f floating-point + c complex floating-point + m timedelta + M datetime + O object + S (byte-)string + U Unicode + V void + = ====================== + + Examples + -------- + + >>> import numpy as np + >>> dt = np.dtype('i4') + >>> dt.kind + 'i' + >>> dt = np.dtype('f8') + >>> dt.kind + 'f' + >>> dt = np.dtype([('field1', 'f8')]) + >>> dt.kind + 'V' + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('metadata', + """ + Either ``None`` or a readonly dictionary of metadata (mappingproxy). + + The metadata field can be set using any dictionary at data-type + creation. NumPy currently has no uniform approach to propagating + metadata; although some array operations preserve it, there is no + guarantee that others will. + + .. warning:: + + Although used in certain projects, this feature was long undocumented + and is not well supported. Some aspects of metadata propagation + are expected to change in the future. + + Examples + -------- + + >>> import numpy as np + >>> dt = np.dtype(float, metadata={"key": "value"}) + >>> dt.metadata["key"] + 'value' + >>> arr = np.array([1, 2, 3], dtype=dt) + >>> arr.dtype.metadata + mappingproxy({'key': 'value'}) + + Adding arrays with identical datatypes currently preserves the metadata: + + >>> (arr + arr).dtype.metadata + mappingproxy({'key': 'value'}) + + But if the arrays have different dtype metadata, the metadata may be + dropped: + + >>> dt2 = np.dtype(float, metadata={"key2": "value2"}) + >>> arr2 = np.array([3, 2, 1], dtype=dt2) + >>> (arr + arr2).dtype.metadata is None + True # The metadata field is cleared so None is returned + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('name', + """ + A bit-width name for this data-type. + + Un-sized flexible data-type objects do not have this attribute. + + Examples + -------- + + >>> import numpy as np + >>> x = np.dtype(float) + >>> x.name + 'float64' + >>> x = np.dtype([('a', np.int32, 8), ('b', np.float64, 6)]) + >>> x.name + 'void640' + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('names', + """ + Ordered list of field names, or ``None`` if there are no fields. + + The names are ordered according to increasing byte offset. This can be + used, for example, to walk through all of the named fields in offset order. + + Examples + -------- + >>> dt = np.dtype([('name', np.str_, 16), ('grades', np.float64, (2,))]) + >>> dt.names + ('name', 'grades') + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('num', + """ + A unique number for each of the 21 different built-in types. + + These are roughly ordered from least-to-most precision. + + Examples + -------- + + >>> import numpy as np + >>> dt = np.dtype(str) + >>> dt.num + 19 + + >>> dt = np.dtype(float) + >>> dt.num + 12 + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('shape', + """ + Shape tuple of the sub-array if this data type describes a sub-array, + and ``()`` otherwise. + + Examples + -------- + + >>> import numpy as np + >>> dt = np.dtype(('i4', 4)) + >>> dt.shape + (4,) + + >>> dt = np.dtype(('i4', (2, 3))) + >>> dt.shape + (2, 3) + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('ndim', + """ + Number of dimensions of the sub-array if this data type describes a + sub-array, and ``0`` otherwise. + + Examples + -------- + >>> import numpy as np + >>> x = np.dtype(float) + >>> x.ndim + 0 + + >>> x = np.dtype((float, 8)) + >>> x.ndim + 1 + + >>> x = np.dtype(('i4', (3, 4))) + >>> x.ndim + 2 + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('str', + """The array-protocol typestring of this data-type object.""")) + +add_newdoc('numpy._core.multiarray', 'dtype', ('subdtype', + """ + Tuple ``(item_dtype, shape)`` if this `dtype` describes a sub-array, and + None otherwise. + + The *shape* is the fixed shape of the sub-array described by this + data type, and *item_dtype* the data type of the array. + + If a field whose dtype object has this attribute is retrieved, + then the extra dimensions implied by *shape* are tacked on to + the end of the retrieved array. + + See Also + -------- + dtype.base + + Examples + -------- + >>> import numpy as np + >>> x = numpy.dtype('8f') + >>> x.subdtype + (dtype('float32'), (8,)) + + >>> x = numpy.dtype('i2') + >>> x.subdtype + >>> + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('base', + """ + Returns dtype for the base element of the subarrays, + regardless of their dimension or shape. + + See Also + -------- + dtype.subdtype + + Examples + -------- + >>> import numpy as np + >>> x = numpy.dtype('8f') + >>> x.base + dtype('float32') + + >>> x = numpy.dtype('i2') + >>> x.base + dtype('int16') + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('type', + """The type object used to instantiate a scalar of this data-type.""")) + +############################################################################## +# +# dtype methods +# +############################################################################## + +add_newdoc('numpy._core.multiarray', 'dtype', ('newbyteorder', + """ + newbyteorder(new_order='S', /) + + Return a new dtype with a different byte order. + + Changes are also made in all fields and sub-arrays of the data type. + + Parameters + ---------- + new_order : string, optional + Byte order to force; a value from the byte order specifications + below. The default value ('S') results in swapping the current + byte order. `new_order` codes can be any of: + + * 'S' - swap dtype from current to opposite endian + * {'<', 'little'} - little endian + * {'>', 'big'} - big endian + * {'=', 'native'} - native order + * {'|', 'I'} - ignore (no change to byte order) + + Returns + ------- + new_dtype : dtype + New dtype object with the given change to the byte order. + + Notes + ----- + Changes are also made in all fields and sub-arrays of the data type. + + Examples + -------- + >>> import sys + >>> sys_is_le = sys.byteorder == 'little' + >>> native_code = '<' if sys_is_le else '>' + >>> swapped_code = '>' if sys_is_le else '<' + >>> import numpy as np + >>> native_dt = np.dtype(native_code+'i2') + >>> swapped_dt = np.dtype(swapped_code+'i2') + >>> native_dt.newbyteorder('S') == swapped_dt + True + >>> native_dt.newbyteorder() == swapped_dt + True + >>> native_dt == swapped_dt.newbyteorder('S') + True + >>> native_dt == swapped_dt.newbyteorder('=') + True + >>> native_dt == swapped_dt.newbyteorder('N') + True + >>> native_dt == native_dt.newbyteorder('|') + True + >>> np.dtype('>> np.dtype('>> np.dtype('>i2') == native_dt.newbyteorder('>') + True + >>> np.dtype('>i2') == native_dt.newbyteorder('B') + True + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('__class_getitem__', + """ + __class_getitem__(item, /) + + Return a parametrized wrapper around the `~numpy.dtype` type. + + .. versionadded:: 1.22 + + Returns + ------- + alias : types.GenericAlias + A parametrized `~numpy.dtype` type. + + Examples + -------- + >>> import numpy as np + + >>> np.dtype[np.int64] + numpy.dtype[numpy.int64] + + See Also + -------- + :pep:`585` : Type hinting generics in standard collections. + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('__ge__', + """ + __ge__(value, /) + + Return ``self >= value``. + + Equivalent to ``np.can_cast(value, self, casting="safe")``. + + See Also + -------- + can_cast : Returns True if cast between data types can occur according to + the casting rule. + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('__le__', + """ + __le__(value, /) + + Return ``self <= value``. + + Equivalent to ``np.can_cast(self, value, casting="safe")``. + + See Also + -------- + can_cast : Returns True if cast between data types can occur according to + the casting rule. + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('__gt__', + """ + __ge__(value, /) + + Return ``self > value``. + + Equivalent to + ``self != value and np.can_cast(value, self, casting="safe")``. + + See Also + -------- + can_cast : Returns True if cast between data types can occur according to + the casting rule. + + """)) + +add_newdoc('numpy._core.multiarray', 'dtype', ('__lt__', + """ + __lt__(value, /) + + Return ``self < value``. + + Equivalent to + ``self != value and np.can_cast(self, value, casting="safe")``. + + See Also + -------- + can_cast : Returns True if cast between data types can occur according to + the casting rule. + + """)) + +############################################################################## +# +# Datetime-related Methods +# +############################################################################## + +add_newdoc('numpy._core.multiarray', 'busdaycalendar', + """ + busdaycalendar(weekmask='1111100', holidays=None) + + A business day calendar object that efficiently stores information + defining valid days for the busday family of functions. + + The default valid days are Monday through Friday ("business days"). + A busdaycalendar object can be specified with any set of weekly + valid days, plus an optional "holiday" dates that always will be invalid. + + Once a busdaycalendar object is created, the weekmask and holidays + cannot be modified. + + Parameters + ---------- + weekmask : str or array_like of bool, optional + A seven-element array indicating which of Monday through Sunday are + valid days. May be specified as a length-seven list or array, like + [1,1,1,1,1,0,0]; a length-seven string, like '1111100'; or a string + like "Mon Tue Wed Thu Fri", made up of 3-character abbreviations for + weekdays, optionally separated by white space. Valid abbreviations + are: Mon Tue Wed Thu Fri Sat Sun + holidays : array_like of datetime64[D], optional + An array of dates to consider as invalid dates, no matter which + weekday they fall upon. Holiday dates may be specified in any + order, and NaT (not-a-time) dates are ignored. This list is + saved in a normalized form that is suited for fast calculations + of valid days. + + Returns + ------- + out : busdaycalendar + A business day calendar object containing the specified + weekmask and holidays values. + + See Also + -------- + is_busday : Returns a boolean array indicating valid days. + busday_offset : Applies an offset counted in valid days. + busday_count : Counts how many valid days are in a half-open date range. + + Attributes + ---------- + weekmask : (copy) seven-element array of bool + holidays : (copy) sorted array of datetime64[D] + + Notes + ----- + Once a busdaycalendar object is created, you cannot modify the + weekmask or holidays. The attributes return copies of internal data. + + Examples + -------- + >>> import numpy as np + >>> # Some important days in July + ... bdd = np.busdaycalendar( + ... holidays=['2011-07-01', '2011-07-04', '2011-07-17']) + >>> # Default is Monday to Friday weekdays + ... bdd.weekmask + array([ True, True, True, True, True, False, False]) + >>> # Any holidays already on the weekend are removed + ... bdd.holidays + array(['2011-07-01', '2011-07-04'], dtype='datetime64[D]') + """) + +add_newdoc('numpy._core.multiarray', 'busdaycalendar', ('weekmask', + """A copy of the seven-element boolean mask indicating valid days.""")) + +add_newdoc('numpy._core.multiarray', 'busdaycalendar', ('holidays', + """A copy of the holiday array indicating additional invalid days.""")) + +add_newdoc('numpy._core.multiarray', 'normalize_axis_index', + """ + normalize_axis_index(axis, ndim, msg_prefix=None) + + Normalizes an axis index, `axis`, such that is a valid positive index into + the shape of array with `ndim` dimensions. Raises an AxisError with an + appropriate message if this is not possible. + + Used internally by all axis-checking logic. + + Parameters + ---------- + axis : int + The un-normalized index of the axis. Can be negative + ndim : int + The number of dimensions of the array that `axis` should be normalized + against + msg_prefix : str + A prefix to put before the message, typically the name of the argument + + Returns + ------- + normalized_axis : int + The normalized axis index, such that `0 <= normalized_axis < ndim` + + Raises + ------ + AxisError + If the axis index is invalid, when `-ndim <= axis < ndim` is false. + + Examples + -------- + >>> import numpy as np + >>> from numpy.lib.array_utils import normalize_axis_index + >>> normalize_axis_index(0, ndim=3) + 0 + >>> normalize_axis_index(1, ndim=3) + 1 + >>> normalize_axis_index(-1, ndim=3) + 2 + + >>> normalize_axis_index(3, ndim=3) + Traceback (most recent call last): + ... + numpy.exceptions.AxisError: axis 3 is out of bounds for array ... + >>> normalize_axis_index(-4, ndim=3, msg_prefix='axes_arg') + Traceback (most recent call last): + ... + numpy.exceptions.AxisError: axes_arg: axis -4 is out of bounds ... + """) + +add_newdoc('numpy._core.multiarray', 'datetime_data', + """ + datetime_data(dtype, /) + + Get information about the step size of a date or time type. + + The returned tuple can be passed as the second argument of `numpy.datetime64` and + `numpy.timedelta64`. + + Parameters + ---------- + dtype : dtype + The dtype object, which must be a `datetime64` or `timedelta64` type. + + Returns + ------- + unit : str + The :ref:`datetime unit ` on which this dtype + is based. + count : int + The number of base units in a step. + + Examples + -------- + >>> import numpy as np + >>> dt_25s = np.dtype('timedelta64[25s]') + >>> np.datetime_data(dt_25s) + ('s', 25) + >>> np.array(10, dt_25s).astype('timedelta64[s]') + array(250, dtype='timedelta64[s]') + + The result can be used to construct a datetime that uses the same units + as a timedelta + + >>> np.datetime64('2010', np.datetime_data(dt_25s)) + np.datetime64('2010-01-01T00:00:00','25s') + """) + + +############################################################################## +# +# Documentation for `generic` attributes and methods +# +############################################################################## + +add_newdoc('numpy._core.numerictypes', 'generic', + """ + Base class for numpy scalar types. + + Class from which most (all?) numpy scalar types are derived. For + consistency, exposes the same API as `ndarray`, despite many + consequent attributes being either "get-only," or completely irrelevant. + This is the class from which it is strongly suggested users should derive + custom scalar types. + + """) + +# Attributes + +def refer_to_array_attribute(attr, method=True): + docstring = """ + Scalar {} identical to the corresponding array attribute. + + Please see `ndarray.{}`. + """ + + return attr, docstring.format("method" if method else "attribute", attr) + + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('T', method=False)) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('base', method=False)) + +add_newdoc('numpy._core.numerictypes', 'generic', ('data', + """Pointer to start of data.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('dtype', + """Get array data-descriptor.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('flags', + """The integer value of flags.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('flat', + """A 1-D view of the scalar.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('imag', + """The imaginary part of the scalar.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('itemsize', + """The length of one element in bytes.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('ndim', + """The number of array dimensions.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('real', + """The real part of the scalar.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('shape', + """Tuple of array dimensions.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('size', + """The number of elements in the gentype.""")) + +add_newdoc('numpy._core.numerictypes', 'generic', ('strides', + """Tuple of bytes steps in each dimension.""")) + +# Methods + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('all')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('any')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('argmax')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('argmin')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('argsort')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('astype')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('byteswap')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('choose')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('clip')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('compress')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('conjugate')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('copy')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('cumprod')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('cumsum')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('diagonal')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('dump')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('dumps')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('fill')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('flatten')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('getfield')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('item')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('max')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('mean')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('min')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('nonzero')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('prod')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('put')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('ravel')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('repeat')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('reshape')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('resize')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('round')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('searchsorted')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('setfield')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('setflags')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('sort')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('squeeze')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('std')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('sum')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('swapaxes')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('take')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('tofile')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('tolist')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('tostring')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('trace')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('transpose')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('var')) + +add_newdoc('numpy._core.numerictypes', 'generic', + refer_to_array_attribute('view')) + +add_newdoc('numpy._core.numerictypes', 'number', ('__class_getitem__', + """ + __class_getitem__(item, /) + + Return a parametrized wrapper around the `~numpy.number` type. + + .. versionadded:: 1.22 + + Returns + ------- + alias : types.GenericAlias + A parametrized `~numpy.number` type. + + Examples + -------- + >>> from typing import Any + >>> import numpy as np + + >>> np.signedinteger[Any] + numpy.signedinteger[typing.Any] + + See Also + -------- + :pep:`585` : Type hinting generics in standard collections. + + """)) + +############################################################################## +# +# Documentation for scalar type abstract base classes in type hierarchy +# +############################################################################## + + +add_newdoc('numpy._core.numerictypes', 'number', + """ + Abstract base class of all numeric scalar types. + + """) + +add_newdoc('numpy._core.numerictypes', 'integer', + """ + Abstract base class of all integer scalar types. + + """) + +add_newdoc('numpy._core.numerictypes', 'signedinteger', + """ + Abstract base class of all signed integer scalar types. + + """) + +add_newdoc('numpy._core.numerictypes', 'unsignedinteger', + """ + Abstract base class of all unsigned integer scalar types. + + """) + +add_newdoc('numpy._core.numerictypes', 'inexact', + """ + Abstract base class of all numeric scalar types with a (potentially) + inexact representation of the values in its range, such as + floating-point numbers. + + """) + +add_newdoc('numpy._core.numerictypes', 'floating', + """ + Abstract base class of all floating-point scalar types. + + """) + +add_newdoc('numpy._core.numerictypes', 'complexfloating', + """ + Abstract base class of all complex number scalar types that are made up of + floating-point numbers. + + """) + +add_newdoc('numpy._core.numerictypes', 'flexible', + """ + Abstract base class of all scalar types without predefined length. + The actual size of these types depends on the specific `numpy.dtype` + instantiation. + + """) + +add_newdoc('numpy._core.numerictypes', 'character', + """ + Abstract base class of all character string scalar types. + + """) + +add_newdoc('numpy._core.multiarray', 'StringDType', + """ + StringDType(*, na_object=np._NoValue, coerce=True) + + Create a StringDType instance. + + StringDType can be used to store UTF-8 encoded variable-width strings in + a NumPy array. + + Parameters + ---------- + na_object : object, optional + Object used to represent missing data. If unset, the array will not + use a missing data sentinel. + coerce : bool, optional + Whether or not items in an array-like passed to an array creation + function that are neither a str or str subtype should be coerced to + str. Defaults to True. If set to False, creating a StringDType + array from an array-like containing entries that are not already + strings will raise an error. + + Examples + -------- + + >>> import numpy as np + + >>> from numpy.dtypes import StringDType + >>> np.array(["hello", "world"], dtype=StringDType()) + array(["hello", "world"], dtype=StringDType()) + + >>> arr = np.array(["hello", None, "world"], + ... dtype=StringDType(na_object=None)) + >>> arr + array(["hello", None, "world"], dtype=StringDType(na_object=None)) + >>> arr[1] is None + True + + >>> arr = np.array(["hello", np.nan, "world"], + ... dtype=StringDType(na_object=np.nan)) + >>> np.isnan(arr) + array([False, True, False]) + + >>> np.array([1.2, object(), "hello world"], + ... dtype=StringDType(coerce=True)) + ValueError: StringDType only allows string data when string coercion + is disabled. + + >>> np.array(["hello", "world"], dtype=StringDType(coerce=True)) + array(["hello", "world"], dtype=StringDType(coerce=True)) + """) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b23c3b1adedd9b9b9f24930ac4940501a4a3dc91 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs.pyi @@ -0,0 +1,3 @@ +from .overrides import get_array_function_like_doc as get_array_function_like_doc + +def refer_to_array_attribute(attr: str, method: bool = True) -> tuple[str, str]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs_scalars.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs_scalars.py new file mode 100644 index 0000000000000000000000000000000000000000..52035e9fb4ae6e0819b69eea516e5b8b14293b17 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs_scalars.py @@ -0,0 +1,389 @@ +""" +This file is separate from ``_add_newdocs.py`` so that it can be mocked out by +our sphinx ``conf.py`` during doc builds, where we want to avoid showing +platform-dependent information. +""" +import sys +import os +from numpy._core import dtype +from numpy._core import numerictypes as _numerictypes +from numpy._core.function_base import add_newdoc + +############################################################################## +# +# Documentation for concrete scalar classes +# +############################################################################## + +def numeric_type_aliases(aliases): + def type_aliases_gen(): + for alias, doc in aliases: + try: + alias_type = getattr(_numerictypes, alias) + except AttributeError: + # The set of aliases that actually exist varies between platforms + pass + else: + yield (alias_type, alias, doc) + return list(type_aliases_gen()) + + +possible_aliases = numeric_type_aliases([ + ('int8', '8-bit signed integer (``-128`` to ``127``)'), + ('int16', '16-bit signed integer (``-32_768`` to ``32_767``)'), + ('int32', '32-bit signed integer (``-2_147_483_648`` to ``2_147_483_647``)'), + ('int64', '64-bit signed integer (``-9_223_372_036_854_775_808`` to ``9_223_372_036_854_775_807``)'), + ('intp', 'Signed integer large enough to fit pointer, compatible with C ``intptr_t``'), + ('uint8', '8-bit unsigned integer (``0`` to ``255``)'), + ('uint16', '16-bit unsigned integer (``0`` to ``65_535``)'), + ('uint32', '32-bit unsigned integer (``0`` to ``4_294_967_295``)'), + ('uint64', '64-bit unsigned integer (``0`` to ``18_446_744_073_709_551_615``)'), + ('uintp', 'Unsigned integer large enough to fit pointer, compatible with C ``uintptr_t``'), + ('float16', '16-bit-precision floating-point number type: sign bit, 5 bits exponent, 10 bits mantissa'), + ('float32', '32-bit-precision floating-point number type: sign bit, 8 bits exponent, 23 bits mantissa'), + ('float64', '64-bit precision floating-point number type: sign bit, 11 bits exponent, 52 bits mantissa'), + ('float96', '96-bit extended-precision floating-point number type'), + ('float128', '128-bit extended-precision floating-point number type'), + ('complex64', 'Complex number type composed of 2 32-bit-precision floating-point numbers'), + ('complex128', 'Complex number type composed of 2 64-bit-precision floating-point numbers'), + ('complex192', 'Complex number type composed of 2 96-bit extended-precision floating-point numbers'), + ('complex256', 'Complex number type composed of 2 128-bit extended-precision floating-point numbers'), + ]) + + +def _get_platform_and_machine(): + try: + system, _, _, _, machine = os.uname() + except AttributeError: + system = sys.platform + if system == 'win32': + machine = os.environ.get('PROCESSOR_ARCHITEW6432', '') \ + or os.environ.get('PROCESSOR_ARCHITECTURE', '') + else: + machine = 'unknown' + return system, machine + + +_system, _machine = _get_platform_and_machine() +_doc_alias_string = f":Alias on this platform ({_system} {_machine}):" + + +def add_newdoc_for_scalar_type(obj, fixed_aliases, doc): + # note: `:field: value` is rST syntax which renders as field lists. + o = getattr(_numerictypes, obj) + + character_code = dtype(o).char + canonical_name_doc = "" if obj == o.__name__ else \ + f":Canonical name: `numpy.{obj}`\n " + if fixed_aliases: + alias_doc = ''.join(f":Alias: `numpy.{alias}`\n " + for alias in fixed_aliases) + else: + alias_doc = '' + alias_doc += ''.join(f"{_doc_alias_string} `numpy.{alias}`: {doc}.\n " + for (alias_type, alias, doc) in possible_aliases if alias_type is o) + + docstring = f""" + {doc.strip()} + + :Character code: ``'{character_code}'`` + {canonical_name_doc}{alias_doc} + """ + + add_newdoc('numpy._core.numerictypes', obj, docstring) + + +_bool_docstring = ( + """ + Boolean type (True or False), stored as a byte. + + .. warning:: + + The :class:`bool` type is not a subclass of the :class:`int_` type + (the :class:`bool` is not even a number type). This is different + than Python's default implementation of :class:`bool` as a + sub-class of :class:`int`. + """ +) + +add_newdoc_for_scalar_type('bool', [], _bool_docstring) + +add_newdoc_for_scalar_type('bool_', [], _bool_docstring) + +add_newdoc_for_scalar_type('byte', [], + """ + Signed integer type, compatible with C ``char``. + """) + +add_newdoc_for_scalar_type('short', [], + """ + Signed integer type, compatible with C ``short``. + """) + +add_newdoc_for_scalar_type('intc', [], + """ + Signed integer type, compatible with C ``int``. + """) + +# TODO: These docs probably need an if to highlight the default rather than +# the C-types (and be correct). +add_newdoc_for_scalar_type('int_', [], + """ + Default signed integer type, 64bit on 64bit systems and 32bit on 32bit + systems. + """) + +add_newdoc_for_scalar_type('longlong', [], + """ + Signed integer type, compatible with C ``long long``. + """) + +add_newdoc_for_scalar_type('ubyte', [], + """ + Unsigned integer type, compatible with C ``unsigned char``. + """) + +add_newdoc_for_scalar_type('ushort', [], + """ + Unsigned integer type, compatible with C ``unsigned short``. + """) + +add_newdoc_for_scalar_type('uintc', [], + """ + Unsigned integer type, compatible with C ``unsigned int``. + """) + +add_newdoc_for_scalar_type('uint', [], + """ + Unsigned signed integer type, 64bit on 64bit systems and 32bit on 32bit + systems. + """) + +add_newdoc_for_scalar_type('ulonglong', [], + """ + Signed integer type, compatible with C ``unsigned long long``. + """) + +add_newdoc_for_scalar_type('half', [], + """ + Half-precision floating-point number type. + """) + +add_newdoc_for_scalar_type('single', [], + """ + Single-precision floating-point number type, compatible with C ``float``. + """) + +add_newdoc_for_scalar_type('double', [], + """ + Double-precision floating-point number type, compatible with Python + :class:`float` and C ``double``. + """) + +add_newdoc_for_scalar_type('longdouble', [], + """ + Extended-precision floating-point number type, compatible with C + ``long double`` but not necessarily with IEEE 754 quadruple-precision. + """) + +add_newdoc_for_scalar_type('csingle', [], + """ + Complex number type composed of two single-precision floating-point + numbers. + """) + +add_newdoc_for_scalar_type('cdouble', [], + """ + Complex number type composed of two double-precision floating-point + numbers, compatible with Python :class:`complex`. + """) + +add_newdoc_for_scalar_type('clongdouble', [], + """ + Complex number type composed of two extended-precision floating-point + numbers. + """) + +add_newdoc_for_scalar_type('object_', [], + """ + Any Python object. + """) + +add_newdoc_for_scalar_type('str_', [], + r""" + A unicode string. + + This type strips trailing null codepoints. + + >>> s = np.str_("abc\x00") + >>> s + 'abc' + + Unlike the builtin :class:`str`, this supports the + :ref:`python:bufferobjects`, exposing its contents as UCS4: + + >>> m = memoryview(np.str_("abc")) + >>> m.format + '3w' + >>> m.tobytes() + b'a\x00\x00\x00b\x00\x00\x00c\x00\x00\x00' + """) + +add_newdoc_for_scalar_type('bytes_', [], + r""" + A byte string. + + When used in arrays, this type strips trailing null bytes. + """) + +add_newdoc_for_scalar_type('void', [], + r""" + np.void(length_or_data, /, dtype=None) + + Create a new structured or unstructured void scalar. + + Parameters + ---------- + length_or_data : int, array-like, bytes-like, object + One of multiple meanings (see notes). The length or + bytes data of an unstructured void. Or alternatively, + the data to be stored in the new scalar when `dtype` + is provided. + This can be an array-like, in which case an array may + be returned. + dtype : dtype, optional + If provided the dtype of the new scalar. This dtype must + be "void" dtype (i.e. a structured or unstructured void, + see also :ref:`defining-structured-types`). + + .. versionadded:: 1.24 + + Notes + ----- + For historical reasons and because void scalars can represent both + arbitrary byte data and structured dtypes, the void constructor + has three calling conventions: + + 1. ``np.void(5)`` creates a ``dtype="V5"`` scalar filled with five + ``\0`` bytes. The 5 can be a Python or NumPy integer. + 2. ``np.void(b"bytes-like")`` creates a void scalar from the byte string. + The dtype itemsize will match the byte string length, here ``"V10"``. + 3. When a ``dtype=`` is passed the call is roughly the same as an + array creation. However, a void scalar rather than array is returned. + + Please see the examples which show all three different conventions. + + Examples + -------- + >>> np.void(5) + np.void(b'\x00\x00\x00\x00\x00') + >>> np.void(b'abcd') + np.void(b'\x61\x62\x63\x64') + >>> np.void((3.2, b'eggs'), dtype="d,S5") + np.void((3.2, b'eggs'), dtype=[('f0', '>> np.void(3, dtype=[('x', np.int8), ('y', np.int8)]) + np.void((3, 3), dtype=[('x', 'i1'), ('y', 'i1')]) + + """) + +add_newdoc_for_scalar_type('datetime64', [], + """ + If created from a 64-bit integer, it represents an offset from + ``1970-01-01T00:00:00``. + If created from string, the string can be in ISO 8601 date + or datetime format. + + When parsing a string to create a datetime object, if the string contains + a trailing timezone (A 'Z' or a timezone offset), the timezone will be + dropped and a User Warning is given. + + Datetime64 objects should be considered to be UTC and therefore have an + offset of +0000. + + >>> np.datetime64(10, 'Y') + np.datetime64('1980') + >>> np.datetime64('1980', 'Y') + np.datetime64('1980') + >>> np.datetime64(10, 'D') + np.datetime64('1970-01-11') + + See :ref:`arrays.datetime` for more information. + """) + +add_newdoc_for_scalar_type('timedelta64', [], + """ + A timedelta stored as a 64-bit integer. + + See :ref:`arrays.datetime` for more information. + """) + +add_newdoc('numpy._core.numerictypes', "integer", ('is_integer', + """ + integer.is_integer() -> bool + + Return ``True`` if the number is finite with integral value. + + .. versionadded:: 1.22 + + Examples + -------- + >>> import numpy as np + >>> np.int64(-2).is_integer() + True + >>> np.uint32(5).is_integer() + True + """)) + +# TODO: work out how to put this on the base class, np.floating +for float_name in ('half', 'single', 'double', 'longdouble'): + add_newdoc('numpy._core.numerictypes', float_name, ('as_integer_ratio', + """ + {ftype}.as_integer_ratio() -> (int, int) + + Return a pair of integers, whose ratio is exactly equal to the original + floating point number, and with a positive denominator. + Raise `OverflowError` on infinities and a `ValueError` on NaNs. + + >>> np.{ftype}(10.0).as_integer_ratio() + (10, 1) + >>> np.{ftype}(0.0).as_integer_ratio() + (0, 1) + >>> np.{ftype}(-.25).as_integer_ratio() + (-1, 4) + """.format(ftype=float_name))) + + add_newdoc('numpy._core.numerictypes', float_name, ('is_integer', + f""" + {float_name}.is_integer() -> bool + + Return ``True`` if the floating point number is finite with integral + value, and ``False`` otherwise. + + .. versionadded:: 1.22 + + Examples + -------- + >>> np.{float_name}(-2.0).is_integer() + True + >>> np.{float_name}(3.2).is_integer() + False + """)) + +for int_name in ('int8', 'uint8', 'int16', 'uint16', 'int32', 'uint32', + 'int64', 'uint64', 'int64', 'uint64', 'int64', 'uint64'): + # Add negative examples for signed cases by checking typecode + add_newdoc('numpy._core.numerictypes', int_name, ('bit_count', + f""" + {int_name}.bit_count() -> int + + Computes the number of 1-bits in the absolute value of the input. + Analogous to the builtin `int.bit_count` or ``popcount`` in C++. + + Examples + -------- + >>> np.{int_name}(127).bit_count() + 7""" + + (f""" + >>> np.{int_name}(-127).bit_count() + 7 + """ if dtype(int_name).char.islower() else ""))) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs_scalars.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs_scalars.pyi new file mode 100644 index 0000000000000000000000000000000000000000..4a06c9b07d748d0f6d064ff9e0fdf7839118e143 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_add_newdocs_scalars.pyi @@ -0,0 +1,16 @@ +from collections.abc import Iterable +from typing import Final + +import numpy as np + +possible_aliases: Final[list[tuple[type[np.number], str, str]]] = ... +_system: Final[str] = ... +_machine: Final[str] = ... +_doc_alias_string: Final[str] = ... +_bool_docstring: Final[str] = ... +int_name: str = ... +float_name: str = ... + +def numeric_type_aliases(aliases: list[tuple[str, str]]) -> list[tuple[type[np.number], str, str]]: ... +def add_newdoc_for_scalar_type(obj: str, fixed_aliases: Iterable[str], doc: str) -> None: ... +def _get_platform_and_machine() -> tuple[str, str]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_asarray.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_asarray.py new file mode 100644 index 0000000000000000000000000000000000000000..28ee8eaa8c5805bab297d24dfb4e9a1c8d4d8917 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_asarray.py @@ -0,0 +1,135 @@ +""" +Functions in the ``as*array`` family that promote array-likes into arrays. + +`require` fits this category despite its name not matching this pattern. +""" +from .overrides import ( + array_function_dispatch, + finalize_array_function_like, + set_module, +) +from .multiarray import array, asanyarray + + +__all__ = ["require"] + + +POSSIBLE_FLAGS = { + 'C': 'C', 'C_CONTIGUOUS': 'C', 'CONTIGUOUS': 'C', + 'F': 'F', 'F_CONTIGUOUS': 'F', 'FORTRAN': 'F', + 'A': 'A', 'ALIGNED': 'A', + 'W': 'W', 'WRITEABLE': 'W', + 'O': 'O', 'OWNDATA': 'O', + 'E': 'E', 'ENSUREARRAY': 'E' +} + + +@finalize_array_function_like +@set_module('numpy') +def require(a, dtype=None, requirements=None, *, like=None): + """ + Return an ndarray of the provided type that satisfies requirements. + + This function is useful to be sure that an array with the correct flags + is returned for passing to compiled code (perhaps through ctypes). + + Parameters + ---------- + a : array_like + The object to be converted to a type-and-requirement-satisfying array. + dtype : data-type + The required data-type. If None preserve the current dtype. If your + application requires the data to be in native byteorder, include + a byteorder specification as a part of the dtype specification. + requirements : str or sequence of str + The requirements list can be any of the following + + * 'F_CONTIGUOUS' ('F') - ensure a Fortran-contiguous array + * 'C_CONTIGUOUS' ('C') - ensure a C-contiguous array + * 'ALIGNED' ('A') - ensure a data-type aligned array + * 'WRITEABLE' ('W') - ensure a writable array + * 'OWNDATA' ('O') - ensure an array that owns its own data + * 'ENSUREARRAY', ('E') - ensure a base array, instead of a subclass + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Array with specified requirements and type if given. + + See Also + -------- + asarray : Convert input to an ndarray. + asanyarray : Convert to an ndarray, but pass through ndarray subclasses. + ascontiguousarray : Convert input to a contiguous array. + asfortranarray : Convert input to an ndarray with column-major + memory order. + ndarray.flags : Information about the memory layout of the array. + + Notes + ----- + The returned array will be guaranteed to have the listed requirements + by making a copy if needed. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6).reshape(2,3) + >>> x.flags + C_CONTIGUOUS : True + F_CONTIGUOUS : False + OWNDATA : False + WRITEABLE : True + ALIGNED : True + WRITEBACKIFCOPY : False + + >>> y = np.require(x, dtype=np.float32, requirements=['A', 'O', 'W', 'F']) + >>> y.flags + C_CONTIGUOUS : False + F_CONTIGUOUS : True + OWNDATA : True + WRITEABLE : True + ALIGNED : True + WRITEBACKIFCOPY : False + + """ + if like is not None: + return _require_with_like( + like, + a, + dtype=dtype, + requirements=requirements, + ) + + if not requirements: + return asanyarray(a, dtype=dtype) + + requirements = {POSSIBLE_FLAGS[x.upper()] for x in requirements} + + if 'E' in requirements: + requirements.remove('E') + subok = False + else: + subok = True + + order = 'A' + if requirements >= {'C', 'F'}: + raise ValueError('Cannot specify both "C" and "F" order') + elif 'F' in requirements: + order = 'F' + requirements.remove('F') + elif 'C' in requirements: + order = 'C' + requirements.remove('C') + + arr = array(a, dtype=dtype, order=order, copy=None, subok=subok) + + for prop in requirements: + if not arr.flags[prop]: + return arr.copy(order) + return arr + + +_require_with_like = array_function_dispatch()(require) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_asarray.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_asarray.pyi new file mode 100644 index 0000000000000000000000000000000000000000..356d31b009e837817b7027357783d0207e29bc0e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_asarray.pyi @@ -0,0 +1,41 @@ +from collections.abc import Iterable +from typing import Any, TypeAlias, TypeVar, overload, Literal + +from numpy._typing import NDArray, DTypeLike, _SupportsArrayFunc + +_ArrayType = TypeVar("_ArrayType", bound=NDArray[Any]) + +_Requirements: TypeAlias = Literal[ + "C", "C_CONTIGUOUS", "CONTIGUOUS", + "F", "F_CONTIGUOUS", "FORTRAN", + "A", "ALIGNED", + "W", "WRITEABLE", + "O", "OWNDATA" +] +_E: TypeAlias = Literal["E", "ENSUREARRAY"] +_RequirementsWithE: TypeAlias = _Requirements | _E + +@overload +def require( + a: _ArrayType, + dtype: None = ..., + requirements: None | _Requirements | Iterable[_Requirements] = ..., + *, + like: _SupportsArrayFunc = ... +) -> _ArrayType: ... +@overload +def require( + a: object, + dtype: DTypeLike = ..., + requirements: _E | Iterable[_RequirementsWithE] = ..., + *, + like: _SupportsArrayFunc = ... +) -> NDArray[Any]: ... +@overload +def require( + a: object, + dtype: DTypeLike = ..., + requirements: None | _Requirements | Iterable[_Requirements] = ..., + *, + like: _SupportsArrayFunc = ... +) -> NDArray[Any]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype.py new file mode 100644 index 0000000000000000000000000000000000000000..ee9b965902633c3834de86d7e6ec4747cda1183f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype.py @@ -0,0 +1,374 @@ +""" +A place for code to be called from the implementation of np.dtype + +String handling is much easier to do correctly in python. +""" +import numpy as np + + +_kind_to_stem = { + 'u': 'uint', + 'i': 'int', + 'c': 'complex', + 'f': 'float', + 'b': 'bool', + 'V': 'void', + 'O': 'object', + 'M': 'datetime', + 'm': 'timedelta', + 'S': 'bytes', + 'U': 'str', +} + + +def _kind_name(dtype): + try: + return _kind_to_stem[dtype.kind] + except KeyError as e: + raise RuntimeError( + "internal dtype error, unknown kind {!r}" + .format(dtype.kind) + ) from None + + +def __str__(dtype): + if dtype.fields is not None: + return _struct_str(dtype, include_align=True) + elif dtype.subdtype: + return _subarray_str(dtype) + elif issubclass(dtype.type, np.flexible) or not dtype.isnative: + return dtype.str + else: + return dtype.name + + +def __repr__(dtype): + arg_str = _construction_repr(dtype, include_align=False) + if dtype.isalignedstruct: + arg_str = arg_str + ", align=True" + return "dtype({})".format(arg_str) + + +def _unpack_field(dtype, offset, title=None): + """ + Helper function to normalize the items in dtype.fields. + + Call as: + + dtype, offset, title = _unpack_field(*dtype.fields[name]) + """ + return dtype, offset, title + + +def _isunsized(dtype): + # PyDataType_ISUNSIZED + return dtype.itemsize == 0 + + +def _construction_repr(dtype, include_align=False, short=False): + """ + Creates a string repr of the dtype, excluding the 'dtype()' part + surrounding the object. This object may be a string, a list, or + a dict depending on the nature of the dtype. This + is the object passed as the first parameter to the dtype + constructor, and if no additional constructor parameters are + given, will reproduce the exact memory layout. + + Parameters + ---------- + short : bool + If true, this creates a shorter repr using 'kind' and 'itemsize', + instead of the longer type name. + + include_align : bool + If true, this includes the 'align=True' parameter + inside the struct dtype construction dict when needed. Use this flag + if you want a proper repr string without the 'dtype()' part around it. + + If false, this does not preserve the + 'align=True' parameter or sticky NPY_ALIGNED_STRUCT flag for + struct arrays like the regular repr does, because the 'align' + flag is not part of first dtype constructor parameter. This + mode is intended for a full 'repr', where the 'align=True' is + provided as the second parameter. + """ + if dtype.fields is not None: + return _struct_str(dtype, include_align=include_align) + elif dtype.subdtype: + return _subarray_str(dtype) + else: + return _scalar_str(dtype, short=short) + + +def _scalar_str(dtype, short): + byteorder = _byte_order_str(dtype) + + if dtype.type == np.bool: + if short: + return "'?'" + else: + return "'bool'" + + elif dtype.type == np.object_: + # The object reference may be different sizes on different + # platforms, so it should never include the itemsize here. + return "'O'" + + elif dtype.type == np.bytes_: + if _isunsized(dtype): + return "'S'" + else: + return "'S%d'" % dtype.itemsize + + elif dtype.type == np.str_: + if _isunsized(dtype): + return "'%sU'" % byteorder + else: + return "'%sU%d'" % (byteorder, dtype.itemsize / 4) + + elif dtype.type == str: + return "'T'" + + elif not type(dtype)._legacy: + return f"'{byteorder}{type(dtype).__name__}{dtype.itemsize * 8}'" + + # unlike the other types, subclasses of void are preserved - but + # historically the repr does not actually reveal the subclass + elif issubclass(dtype.type, np.void): + if _isunsized(dtype): + return "'V'" + else: + return "'V%d'" % dtype.itemsize + + elif dtype.type == np.datetime64: + return "'%sM8%s'" % (byteorder, _datetime_metadata_str(dtype)) + + elif dtype.type == np.timedelta64: + return "'%sm8%s'" % (byteorder, _datetime_metadata_str(dtype)) + + elif np.issubdtype(dtype, np.number): + # Short repr with endianness, like '' """ + # hack to obtain the native and swapped byte order characters + swapped = np.dtype(int).newbyteorder('S') + native = swapped.newbyteorder('S') + + byteorder = dtype.byteorder + if byteorder == '=': + return native.byteorder + if byteorder == 'S': + # TODO: this path can never be reached + return swapped.byteorder + elif byteorder == '|': + return '' + else: + return byteorder + + +def _datetime_metadata_str(dtype): + # TODO: this duplicates the C metastr_to_unicode functionality + unit, count = np.datetime_data(dtype) + if unit == 'generic': + return '' + elif count == 1: + return '[{}]'.format(unit) + else: + return '[{}{}]'.format(count, unit) + + +def _struct_dict_str(dtype, includealignedflag): + # unpack the fields dictionary into ls + names = dtype.names + fld_dtypes = [] + offsets = [] + titles = [] + for name in names: + fld_dtype, offset, title = _unpack_field(*dtype.fields[name]) + fld_dtypes.append(fld_dtype) + offsets.append(offset) + titles.append(title) + + # Build up a string to make the dictionary + + if np._core.arrayprint._get_legacy_print_mode() <= 121: + colon = ":" + fieldsep = "," + else: + colon = ": " + fieldsep = ", " + + # First, the names + ret = "{'names'%s[" % colon + ret += fieldsep.join(repr(name) for name in names) + + # Second, the formats + ret += "], 'formats'%s[" % colon + ret += fieldsep.join( + _construction_repr(fld_dtype, short=True) for fld_dtype in fld_dtypes) + + # Third, the offsets + ret += "], 'offsets'%s[" % colon + ret += fieldsep.join("%d" % offset for offset in offsets) + + # Fourth, the titles + if any(title is not None for title in titles): + ret += "], 'titles'%s[" % colon + ret += fieldsep.join(repr(title) for title in titles) + + # Fifth, the itemsize + ret += "], 'itemsize'%s%d" % (colon, dtype.itemsize) + + if (includealignedflag and dtype.isalignedstruct): + # Finally, the aligned flag + ret += ", 'aligned'%sTrue}" % colon + else: + ret += "}" + + return ret + + +def _aligned_offset(offset, alignment): + # round up offset: + return - (-offset // alignment) * alignment + + +def _is_packed(dtype): + """ + Checks whether the structured data type in 'dtype' + has a simple layout, where all the fields are in order, + and follow each other with no alignment padding. + + When this returns true, the dtype can be reconstructed + from a list of the field names and dtypes with no additional + dtype parameters. + + Duplicates the C `is_dtype_struct_simple_unaligned_layout` function. + """ + align = dtype.isalignedstruct + max_alignment = 1 + total_offset = 0 + for name in dtype.names: + fld_dtype, fld_offset, title = _unpack_field(*dtype.fields[name]) + + if align: + total_offset = _aligned_offset(total_offset, fld_dtype.alignment) + max_alignment = max(max_alignment, fld_dtype.alignment) + + if fld_offset != total_offset: + return False + total_offset += fld_dtype.itemsize + + if align: + total_offset = _aligned_offset(total_offset, max_alignment) + + return total_offset == dtype.itemsize + + +def _struct_list_str(dtype): + items = [] + for name in dtype.names: + fld_dtype, fld_offset, title = _unpack_field(*dtype.fields[name]) + + item = "(" + if title is not None: + item += "({!r}, {!r}), ".format(title, name) + else: + item += "{!r}, ".format(name) + # Special case subarray handling here + if fld_dtype.subdtype is not None: + base, shape = fld_dtype.subdtype + item += "{}, {}".format( + _construction_repr(base, short=True), + shape + ) + else: + item += _construction_repr(fld_dtype, short=True) + + item += ")" + items.append(item) + + return "[" + ", ".join(items) + "]" + + +def _struct_str(dtype, include_align): + # The list str representation can't include the 'align=' flag, + # so if it is requested and the struct has the aligned flag set, + # we must use the dict str instead. + if not (include_align and dtype.isalignedstruct) and _is_packed(dtype): + sub = _struct_list_str(dtype) + + else: + sub = _struct_dict_str(dtype, include_align) + + # If the data type isn't the default, void, show it + if dtype.type != np.void: + return "({t.__module__}.{t.__name__}, {f})".format(t=dtype.type, f=sub) + else: + return sub + + +def _subarray_str(dtype): + base, shape = dtype.subdtype + return "({}, {})".format( + _construction_repr(base, short=True), + shape + ) + + +def _name_includes_bit_suffix(dtype): + if dtype.type == np.object_: + # pointer size varies by system, best to omit it + return False + elif dtype.type == np.bool: + # implied + return False + elif dtype.type is None: + return True + elif np.issubdtype(dtype, np.flexible) and _isunsized(dtype): + # unspecified + return False + else: + return True + + +def _name_get(dtype): + # provides dtype.name.__get__, documented as returning a "bit name" + + if dtype.isbuiltin == 2: + # user dtypes don't promise to do anything special + return dtype.type.__name__ + + if not type(dtype)._legacy: + name = type(dtype).__name__ + + elif issubclass(dtype.type, np.void): + # historically, void subclasses preserve their name, eg `record64` + name = dtype.type.__name__ + else: + name = _kind_name(dtype) + + # append bit counts + if _name_includes_bit_suffix(dtype): + name += "{}".format(dtype.itemsize * 8) + + # append metadata to datetimes + if dtype.type in (np.datetime64, np.timedelta64): + name += _datetime_metadata_str(dtype) + + return name diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c3e966e3f51729aca69365ce3520ab23e3c1a7ea --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype.pyi @@ -0,0 +1,58 @@ +from typing import Any, Final, TypeAlias, TypedDict, overload, type_check_only +from typing import Literal as L + +from typing_extensions import ReadOnly, TypeVar + +import numpy as np + +### + +_T = TypeVar("_T") + +_Name: TypeAlias = L["uint", "int", "complex", "float", "bool", "void", "object", "datetime", "timedelta", "bytes", "str"] + +@type_check_only +class _KindToStemType(TypedDict): + u: ReadOnly[L["uint"]] + i: ReadOnly[L["int"]] + c: ReadOnly[L["complex"]] + f: ReadOnly[L["float"]] + b: ReadOnly[L["bool"]] + V: ReadOnly[L["void"]] + O: ReadOnly[L["object"]] + M: ReadOnly[L["datetime"]] + m: ReadOnly[L["timedelta"]] + S: ReadOnly[L["bytes"]] + U: ReadOnly[L["str"]] + +### + +_kind_to_stem: Final[_KindToStemType] = ... + +# +def _kind_name(dtype: np.dtype[Any]) -> _Name: ... +def __str__(dtype: np.dtype[Any]) -> str: ... +def __repr__(dtype: np.dtype[Any]) -> str: ... + +# +def _isunsized(dtype: np.dtype[Any]) -> bool: ... +def _is_packed(dtype: np.dtype[Any]) -> bool: ... +def _name_includes_bit_suffix(dtype: np.dtype[Any]) -> bool: ... + +# +def _construction_repr(dtype: np.dtype[Any], include_align: bool = False, short: bool = False) -> str: ... +def _scalar_str(dtype: np.dtype[Any], short: bool) -> str: ... +def _byte_order_str(dtype: np.dtype[Any]) -> str: ... +def _datetime_metadata_str(dtype: np.dtype[Any]) -> str: ... +def _struct_dict_str(dtype: np.dtype[Any], includealignedflag: bool) -> str: ... +def _struct_list_str(dtype: np.dtype[Any]) -> str: ... +def _struct_str(dtype: np.dtype[Any], include_align: bool) -> str: ... +def _subarray_str(dtype: np.dtype[Any]) -> str: ... +def _name_get(dtype: np.dtype[Any]) -> str: ... + +# +@overload +def _unpack_field(dtype: np.dtype[Any], offset: int, title: _T) -> tuple[np.dtype[Any], int, _T]: ... +@overload +def _unpack_field(dtype: np.dtype[Any], offset: int, title: None = None) -> tuple[np.dtype[Any], int, None]: ... +def _aligned_offset(offset: int, alignment: int) -> int: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype_ctypes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype_ctypes.py new file mode 100644 index 0000000000000000000000000000000000000000..fef1e0db35f2fcd97269e25ca442b881a8a1a757 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype_ctypes.py @@ -0,0 +1,120 @@ +""" +Conversion from ctypes to dtype. + +In an ideal world, we could achieve this through the PEP3118 buffer protocol, +something like:: + + def dtype_from_ctypes_type(t): + # needed to ensure that the shape of `t` is within memoryview.format + class DummyStruct(ctypes.Structure): + _fields_ = [('a', t)] + + # empty to avoid memory allocation + ctype_0 = (DummyStruct * 0)() + mv = memoryview(ctype_0) + + # convert the struct, and slice back out the field + return _dtype_from_pep3118(mv.format)['a'] + +Unfortunately, this fails because: + +* ctypes cannot handle length-0 arrays with PEP3118 (bpo-32782) +* PEP3118 cannot represent unions, but both numpy and ctypes can +* ctypes cannot handle big-endian structs with PEP3118 (bpo-32780) +""" + +# We delay-import ctypes for distributions that do not include it. +# While this module is not used unless the user passes in ctypes +# members, it is eagerly imported from numpy/_core/__init__.py. +import numpy as np + + +def _from_ctypes_array(t): + return np.dtype((dtype_from_ctypes_type(t._type_), (t._length_,))) + + +def _from_ctypes_structure(t): + for item in t._fields_: + if len(item) > 2: + raise TypeError( + "ctypes bitfields have no dtype equivalent") + + if hasattr(t, "_pack_"): + import ctypes + formats = [] + offsets = [] + names = [] + current_offset = 0 + for fname, ftyp in t._fields_: + names.append(fname) + formats.append(dtype_from_ctypes_type(ftyp)) + # Each type has a default offset, this is platform dependent + # for some types. + effective_pack = min(t._pack_, ctypes.alignment(ftyp)) + current_offset = ( + (current_offset + effective_pack - 1) // effective_pack + ) * effective_pack + offsets.append(current_offset) + current_offset += ctypes.sizeof(ftyp) + + return np.dtype(dict( + formats=formats, + offsets=offsets, + names=names, + itemsize=ctypes.sizeof(t))) + else: + fields = [] + for fname, ftyp in t._fields_: + fields.append((fname, dtype_from_ctypes_type(ftyp))) + + # by default, ctypes structs are aligned + return np.dtype(fields, align=True) + + +def _from_ctypes_scalar(t): + """ + Return the dtype type with endianness included if it's the case + """ + if getattr(t, '__ctype_be__', None) is t: + return np.dtype('>' + t._type_) + elif getattr(t, '__ctype_le__', None) is t: + return np.dtype('<' + t._type_) + else: + return np.dtype(t._type_) + + +def _from_ctypes_union(t): + import ctypes + formats = [] + offsets = [] + names = [] + for fname, ftyp in t._fields_: + names.append(fname) + formats.append(dtype_from_ctypes_type(ftyp)) + offsets.append(0) # Union fields are offset to 0 + + return np.dtype(dict( + formats=formats, + offsets=offsets, + names=names, + itemsize=ctypes.sizeof(t))) + + +def dtype_from_ctypes_type(t): + """ + Construct a dtype object from a ctypes type + """ + import _ctypes + if issubclass(t, _ctypes.Array): + return _from_ctypes_array(t) + elif issubclass(t, _ctypes._Pointer): + raise TypeError("ctypes pointers have no dtype equivalent") + elif issubclass(t, _ctypes.Structure): + return _from_ctypes_structure(t) + elif issubclass(t, _ctypes.Union): + return _from_ctypes_union(t) + elif isinstance(getattr(t, '_type_', None), str): + return _from_ctypes_scalar(t) + else: + raise NotImplementedError( + "Unknown ctypes type {}".format(t.__name__)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype_ctypes.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype_ctypes.pyi new file mode 100644 index 0000000000000000000000000000000000000000..69438a2c1b4c98cda8b36d45440fd459f118ebb9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_dtype_ctypes.pyi @@ -0,0 +1,83 @@ +import _ctypes +import ctypes as ct +from typing import Any, overload + +import numpy as np + +# +@overload +def dtype_from_ctypes_type(t: type[_ctypes.Array[Any] | _ctypes.Structure]) -> np.dtype[np.void]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_bool]) -> np.dtype[np.bool]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_int8 | ct.c_byte]) -> np.dtype[np.int8]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_uint8 | ct.c_ubyte]) -> np.dtype[np.uint8]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_int16 | ct.c_short]) -> np.dtype[np.int16]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_uint16 | ct.c_ushort]) -> np.dtype[np.uint16]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_int32 | ct.c_int]) -> np.dtype[np.int32]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_uint32 | ct.c_uint]) -> np.dtype[np.uint32]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_ssize_t | ct.c_long]) -> np.dtype[np.int32 | np.int64]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_size_t | ct.c_ulong]) -> np.dtype[np.uint32 | np.uint64]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_int64 | ct.c_longlong]) -> np.dtype[np.int64]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_uint64 | ct.c_ulonglong]) -> np.dtype[np.uint64]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_float]) -> np.dtype[np.float32]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_double]) -> np.dtype[np.float64]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_longdouble]) -> np.dtype[np.longdouble]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.c_char]) -> np.dtype[np.bytes_]: ... +@overload +def dtype_from_ctypes_type(t: type[ct.py_object[Any]]) -> np.dtype[np.object_]: ... + +# NOTE: the complex ctypes on python>=3.14 are not yet supported at runtim, see +# https://github.com/numpy/numpy/issues/28360 + +# +def _from_ctypes_array(t: type[_ctypes.Array[Any]]) -> np.dtype[np.void]: ... +def _from_ctypes_structure(t: type[_ctypes.Structure]) -> np.dtype[np.void]: ... +def _from_ctypes_union(t: type[_ctypes.Union]) -> np.dtype[np.void]: ... + +# keep in sync with `dtype_from_ctypes_type` (minus the first overload) +@overload +def _from_ctypes_scalar(t: type[ct.c_bool]) -> np.dtype[np.bool]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_int8 | ct.c_byte]) -> np.dtype[np.int8]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_uint8 | ct.c_ubyte]) -> np.dtype[np.uint8]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_int16 | ct.c_short]) -> np.dtype[np.int16]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_uint16 | ct.c_ushort]) -> np.dtype[np.uint16]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_int32 | ct.c_int]) -> np.dtype[np.int32]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_uint32 | ct.c_uint]) -> np.dtype[np.uint32]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_ssize_t | ct.c_long]) -> np.dtype[np.int32 | np.int64]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_size_t | ct.c_ulong]) -> np.dtype[np.uint32 | np.uint64]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_int64 | ct.c_longlong]) -> np.dtype[np.int64]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_uint64 | ct.c_ulonglong]) -> np.dtype[np.uint64]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_float]) -> np.dtype[np.float32]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_double]) -> np.dtype[np.float64]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_longdouble]) -> np.dtype[np.longdouble]: ... +@overload +def _from_ctypes_scalar(t: type[ct.c_char]) -> np.dtype[np.bytes_]: ... +@overload +def _from_ctypes_scalar(t: type[ct.py_object[Any]]) -> np.dtype[np.object_]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_exceptions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_exceptions.py new file mode 100644 index 0000000000000000000000000000000000000000..87d4213a6d42cf090f8db75571244840dd68cd5a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_exceptions.py @@ -0,0 +1,172 @@ +""" +Various richly-typed exceptions, that also help us deal with string formatting +in python where it's easier. + +By putting the formatting in `__str__`, we also avoid paying the cost for +users who silence the exceptions. +""" +from .._utils import set_module + +def _unpack_tuple(tup): + if len(tup) == 1: + return tup[0] + else: + return tup + + +def _display_as_base(cls): + """ + A decorator that makes an exception class look like its base. + + We use this to hide subclasses that are implementation details - the user + should catch the base type, which is what the traceback will show them. + + Classes decorated with this decorator are subject to removal without a + deprecation warning. + """ + assert issubclass(cls, Exception) + cls.__name__ = cls.__base__.__name__ + return cls + + +class UFuncTypeError(TypeError): + """ Base class for all ufunc exceptions """ + def __init__(self, ufunc): + self.ufunc = ufunc + + +@_display_as_base +class _UFuncNoLoopError(UFuncTypeError): + """ Thrown when a ufunc loop cannot be found """ + def __init__(self, ufunc, dtypes): + super().__init__(ufunc) + self.dtypes = tuple(dtypes) + + def __str__(self): + return ( + "ufunc {!r} did not contain a loop with signature matching types " + "{!r} -> {!r}" + ).format( + self.ufunc.__name__, + _unpack_tuple(self.dtypes[:self.ufunc.nin]), + _unpack_tuple(self.dtypes[self.ufunc.nin:]) + ) + + +@_display_as_base +class _UFuncBinaryResolutionError(_UFuncNoLoopError): + """ Thrown when a binary resolution fails """ + def __init__(self, ufunc, dtypes): + super().__init__(ufunc, dtypes) + assert len(self.dtypes) == 2 + + def __str__(self): + return ( + "ufunc {!r} cannot use operands with types {!r} and {!r}" + ).format( + self.ufunc.__name__, *self.dtypes + ) + + +@_display_as_base +class _UFuncCastingError(UFuncTypeError): + def __init__(self, ufunc, casting, from_, to): + super().__init__(ufunc) + self.casting = casting + self.from_ = from_ + self.to = to + + +@_display_as_base +class _UFuncInputCastingError(_UFuncCastingError): + """ Thrown when a ufunc input cannot be casted """ + def __init__(self, ufunc, casting, from_, to, i): + super().__init__(ufunc, casting, from_, to) + self.in_i = i + + def __str__(self): + # only show the number if more than one input exists + i_str = "{} ".format(self.in_i) if self.ufunc.nin != 1 else "" + return ( + "Cannot cast ufunc {!r} input {}from {!r} to {!r} with casting " + "rule {!r}" + ).format( + self.ufunc.__name__, i_str, self.from_, self.to, self.casting + ) + + +@_display_as_base +class _UFuncOutputCastingError(_UFuncCastingError): + """ Thrown when a ufunc output cannot be casted """ + def __init__(self, ufunc, casting, from_, to, i): + super().__init__(ufunc, casting, from_, to) + self.out_i = i + + def __str__(self): + # only show the number if more than one output exists + i_str = "{} ".format(self.out_i) if self.ufunc.nout != 1 else "" + return ( + "Cannot cast ufunc {!r} output {}from {!r} to {!r} with casting " + "rule {!r}" + ).format( + self.ufunc.__name__, i_str, self.from_, self.to, self.casting + ) + + +@_display_as_base +class _ArrayMemoryError(MemoryError): + """ Thrown when an array cannot be allocated""" + def __init__(self, shape, dtype): + self.shape = shape + self.dtype = dtype + + @property + def _total_size(self): + num_bytes = self.dtype.itemsize + for dim in self.shape: + num_bytes *= dim + return num_bytes + + @staticmethod + def _size_to_string(num_bytes): + """ Convert a number of bytes into a binary size string """ + + # https://en.wikipedia.org/wiki/Binary_prefix + LOG2_STEP = 10 + STEP = 1024 + units = ['bytes', 'KiB', 'MiB', 'GiB', 'TiB', 'PiB', 'EiB'] + + unit_i = max(num_bytes.bit_length() - 1, 1) // LOG2_STEP + unit_val = 1 << (unit_i * LOG2_STEP) + n_units = num_bytes / unit_val + del unit_val + + # ensure we pick a unit that is correct after rounding + if round(n_units) == STEP: + unit_i += 1 + n_units /= STEP + + # deal with sizes so large that we don't have units for them + if unit_i >= len(units): + new_unit_i = len(units) - 1 + n_units *= 1 << ((unit_i - new_unit_i) * LOG2_STEP) + unit_i = new_unit_i + + unit_name = units[unit_i] + # format with a sensible number of digits + if unit_i == 0: + # no decimal point on bytes + return '{:.0f} {}'.format(n_units, unit_name) + elif round(n_units) < 1000: + # 3 significant figures, if none are dropped to the left of the . + return '{:#.3g} {}'.format(n_units, unit_name) + else: + # just give all the digits otherwise + return '{:#.0f} {}'.format(n_units, unit_name) + + def __str__(self): + size_str = self._size_to_string(self._total_size) + return ( + "Unable to allocate {} for an array with shape {} and data type {}" + .format(size_str, self.shape, self.dtype) + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_exceptions.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_exceptions.pyi new file mode 100644 index 0000000000000000000000000000000000000000..5abfc779c2120734c29d017844dd6ecc2b171bdb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_exceptions.pyi @@ -0,0 +1,73 @@ +from collections.abc import Iterable +from typing import Any, Final, overload + +from typing_extensions import TypeVar, Unpack + +import numpy as np +from numpy import _CastingKind +from numpy._utils import set_module as set_module + +### + +_T = TypeVar("_T") +_TupleT = TypeVar("_TupleT", bound=tuple[()] | tuple[Any, Any, Unpack[tuple[Any, ...]]]) +_ExceptionT = TypeVar("_ExceptionT", bound=Exception) + +### + +class UFuncTypeError(TypeError): + ufunc: Final[np.ufunc] + def __init__(self, /, ufunc: np.ufunc) -> None: ... + +class _UFuncNoLoopError(UFuncTypeError): + dtypes: tuple[np.dtype[Any], ...] + def __init__(self, /, ufunc: np.ufunc, dtypes: Iterable[np.dtype[Any]]) -> None: ... + +class _UFuncBinaryResolutionError(_UFuncNoLoopError): + dtypes: tuple[np.dtype[Any], np.dtype[Any]] + def __init__(self, /, ufunc: np.ufunc, dtypes: Iterable[np.dtype[Any]]) -> None: ... + +class _UFuncCastingError(UFuncTypeError): + casting: Final[_CastingKind] + from_: Final[np.dtype[Any]] + to: Final[np.dtype[Any]] + def __init__(self, /, ufunc: np.ufunc, casting: _CastingKind, from_: np.dtype[Any], to: np.dtype[Any]) -> None: ... + +class _UFuncInputCastingError(_UFuncCastingError): + in_i: Final[int] + def __init__( + self, + /, + ufunc: np.ufunc, + casting: _CastingKind, + from_: np.dtype[Any], + to: np.dtype[Any], + i: int, + ) -> None: ... + +class _UFuncOutputCastingError(_UFuncCastingError): + out_i: Final[int] + def __init__( + self, + /, + ufunc: np.ufunc, + casting: _CastingKind, + from_: np.dtype[Any], + to: np.dtype[Any], + i: int, + ) -> None: ... + +class _ArrayMemoryError(MemoryError): + shape: tuple[int, ...] + dtype: np.dtype[Any] + def __init__(self, /, shape: tuple[int, ...], dtype: np.dtype[Any]) -> None: ... + @property + def _total_size(self) -> int: ... + @staticmethod + def _size_to_string(num_bytes: int) -> str: ... + +@overload +def _unpack_tuple(tup: tuple[_T]) -> _T: ... +@overload +def _unpack_tuple(tup: _TupleT) -> _TupleT: ... +def _display_as_base(cls: type[_ExceptionT]) -> type[_ExceptionT]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_internal.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_internal.py new file mode 100644 index 0000000000000000000000000000000000000000..c0142bf44f034f7f635e07841e00f451c3907dfd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_internal.py @@ -0,0 +1,963 @@ +""" +A place for internal code + +Some things are more easily handled Python. + +""" +import ast +import math +import re +import sys +import warnings + +from ..exceptions import DTypePromotionError +from .multiarray import dtype, array, ndarray, promote_types, StringDType +from numpy import _NoValue +try: + import ctypes +except ImportError: + ctypes = None + +IS_PYPY = sys.implementation.name == 'pypy' + +if sys.byteorder == 'little': + _nbo = '<' +else: + _nbo = '>' + +def _makenames_list(adict, align): + allfields = [] + + for fname, obj in adict.items(): + n = len(obj) + if not isinstance(obj, tuple) or n not in (2, 3): + raise ValueError("entry not a 2- or 3- tuple") + if n > 2 and obj[2] == fname: + continue + num = int(obj[1]) + if num < 0: + raise ValueError("invalid offset.") + format = dtype(obj[0], align=align) + if n > 2: + title = obj[2] + else: + title = None + allfields.append((fname, format, num, title)) + # sort by offsets + allfields.sort(key=lambda x: x[2]) + names = [x[0] for x in allfields] + formats = [x[1] for x in allfields] + offsets = [x[2] for x in allfields] + titles = [x[3] for x in allfields] + + return names, formats, offsets, titles + +# Called in PyArray_DescrConverter function when +# a dictionary without "names" and "formats" +# fields is used as a data-type descriptor. +def _usefields(adict, align): + try: + names = adict[-1] + except KeyError: + names = None + if names is None: + names, formats, offsets, titles = _makenames_list(adict, align) + else: + formats = [] + offsets = [] + titles = [] + for name in names: + res = adict[name] + formats.append(res[0]) + offsets.append(res[1]) + if len(res) > 2: + titles.append(res[2]) + else: + titles.append(None) + + return dtype({"names": names, + "formats": formats, + "offsets": offsets, + "titles": titles}, align) + + +# construct an array_protocol descriptor list +# from the fields attribute of a descriptor +# This calls itself recursively but should eventually hit +# a descriptor that has no fields and then return +# a simple typestring + +def _array_descr(descriptor): + fields = descriptor.fields + if fields is None: + subdtype = descriptor.subdtype + if subdtype is None: + if descriptor.metadata is None: + return descriptor.str + else: + new = descriptor.metadata.copy() + if new: + return (descriptor.str, new) + else: + return descriptor.str + else: + return (_array_descr(subdtype[0]), subdtype[1]) + + names = descriptor.names + ordered_fields = [fields[x] + (x,) for x in names] + result = [] + offset = 0 + for field in ordered_fields: + if field[1] > offset: + num = field[1] - offset + result.append(('', f'|V{num}')) + offset += num + elif field[1] < offset: + raise ValueError( + "dtype.descr is not defined for types with overlapping or " + "out-of-order fields") + if len(field) > 3: + name = (field[2], field[3]) + else: + name = field[2] + if field[0].subdtype: + tup = (name, _array_descr(field[0].subdtype[0]), + field[0].subdtype[1]) + else: + tup = (name, _array_descr(field[0])) + offset += field[0].itemsize + result.append(tup) + + if descriptor.itemsize > offset: + num = descriptor.itemsize - offset + result.append(('', f'|V{num}')) + + return result + + +# format_re was originally from numarray by J. Todd Miller + +format_re = re.compile(r'(?P[<>|=]?)' + r'(?P *[(]?[ ,0-9]*[)]? *)' + r'(?P[<>|=]?)' + r'(?P[A-Za-z0-9.?]*(?:\[[a-zA-Z0-9,.]+\])?)') +sep_re = re.compile(r'\s*,\s*') +space_re = re.compile(r'\s+$') + +# astr is a string (perhaps comma separated) + +_convorder = {'=': _nbo} + +def _commastring(astr): + startindex = 0 + result = [] + islist = False + while startindex < len(astr): + mo = format_re.match(astr, pos=startindex) + try: + (order1, repeats, order2, dtype) = mo.groups() + except (TypeError, AttributeError): + raise ValueError( + f'format number {len(result)+1} of "{astr}" is not recognized' + ) from None + startindex = mo.end() + # Separator or ending padding + if startindex < len(astr): + if space_re.match(astr, pos=startindex): + startindex = len(astr) + else: + mo = sep_re.match(astr, pos=startindex) + if not mo: + raise ValueError( + 'format number %d of "%s" is not recognized' % + (len(result)+1, astr)) + startindex = mo.end() + islist = True + + if order2 == '': + order = order1 + elif order1 == '': + order = order2 + else: + order1 = _convorder.get(order1, order1) + order2 = _convorder.get(order2, order2) + if (order1 != order2): + raise ValueError( + 'inconsistent byte-order specification %s and %s' % + (order1, order2)) + order = order1 + + if order in ('|', '=', _nbo): + order = '' + dtype = order + dtype + if repeats == '': + newitem = dtype + else: + if (repeats[0] == "(" and repeats[-1] == ")" + and repeats[1:-1].strip() != "" + and "," not in repeats): + warnings.warn( + 'Passing in a parenthesized single number for repeats ' + 'is deprecated; pass either a single number or indicate ' + 'a tuple with a comma, like "(2,)".', DeprecationWarning, + stacklevel=2) + newitem = (dtype, ast.literal_eval(repeats)) + + result.append(newitem) + + return result if islist else result[0] + +class dummy_ctype: + + def __init__(self, cls): + self._cls = cls + + def __mul__(self, other): + return self + + def __call__(self, *other): + return self._cls(other) + + def __eq__(self, other): + return self._cls == other._cls + + def __ne__(self, other): + return self._cls != other._cls + +def _getintp_ctype(): + val = _getintp_ctype.cache + if val is not None: + return val + if ctypes is None: + import numpy as np + val = dummy_ctype(np.intp) + else: + char = dtype('n').char + if char == 'i': + val = ctypes.c_int + elif char == 'l': + val = ctypes.c_long + elif char == 'q': + val = ctypes.c_longlong + else: + val = ctypes.c_long + _getintp_ctype.cache = val + return val + + +_getintp_ctype.cache = None + +# Used for .ctypes attribute of ndarray + +class _missing_ctypes: + def cast(self, num, obj): + return num.value + + class c_void_p: + def __init__(self, ptr): + self.value = ptr + + +class _ctypes: + def __init__(self, array, ptr=None): + self._arr = array + + if ctypes: + self._ctypes = ctypes + self._data = self._ctypes.c_void_p(ptr) + else: + # fake a pointer-like object that holds onto the reference + self._ctypes = _missing_ctypes() + self._data = self._ctypes.c_void_p(ptr) + self._data._objects = array + + if self._arr.ndim == 0: + self._zerod = True + else: + self._zerod = False + + def data_as(self, obj): + """ + Return the data pointer cast to a particular c-types object. + For example, calling ``self._as_parameter_`` is equivalent to + ``self.data_as(ctypes.c_void_p)``. Perhaps you want to use + the data as a pointer to a ctypes array of floating-point data: + ``self.data_as(ctypes.POINTER(ctypes.c_double))``. + + The returned pointer will keep a reference to the array. + """ + # _ctypes.cast function causes a circular reference of self._data in + # self._data._objects. Attributes of self._data cannot be released + # until gc.collect is called. Make a copy of the pointer first then + # let it hold the array reference. This is a workaround to circumvent + # the CPython bug https://bugs.python.org/issue12836. + ptr = self._ctypes.cast(self._data, obj) + ptr._arr = self._arr + return ptr + + def shape_as(self, obj): + """ + Return the shape tuple as an array of some other c-types + type. For example: ``self.shape_as(ctypes.c_short)``. + """ + if self._zerod: + return None + return (obj*self._arr.ndim)(*self._arr.shape) + + def strides_as(self, obj): + """ + Return the strides tuple as an array of some other + c-types type. For example: ``self.strides_as(ctypes.c_longlong)``. + """ + if self._zerod: + return None + return (obj*self._arr.ndim)(*self._arr.strides) + + @property + def data(self): + """ + A pointer to the memory area of the array as a Python integer. + This memory area may contain data that is not aligned, or not in + correct byte-order. The memory area may not even be writeable. + The array flags and data-type of this array should be respected + when passing this attribute to arbitrary C-code to avoid trouble + that can include Python crashing. User Beware! The value of this + attribute is exactly the same as: + ``self._array_interface_['data'][0]``. + + Note that unlike ``data_as``, a reference won't be kept to the array: + code like ``ctypes.c_void_p((a + b).ctypes.data)`` will result in a + pointer to a deallocated array, and should be spelt + ``(a + b).ctypes.data_as(ctypes.c_void_p)`` + """ + return self._data.value + + @property + def shape(self): + """ + (c_intp*self.ndim): A ctypes array of length self.ndim where + the basetype is the C-integer corresponding to ``dtype('p')`` on this + platform (see `~numpy.ctypeslib.c_intp`). This base-type could be + `ctypes.c_int`, `ctypes.c_long`, or `ctypes.c_longlong` depending on + the platform. The ctypes array contains the shape of + the underlying array. + """ + return self.shape_as(_getintp_ctype()) + + @property + def strides(self): + """ + (c_intp*self.ndim): A ctypes array of length self.ndim where + the basetype is the same as for the shape attribute. This ctypes + array contains the strides information from the underlying array. + This strides information is important for showing how many bytes + must be jumped to get to the next element in the array. + """ + return self.strides_as(_getintp_ctype()) + + @property + def _as_parameter_(self): + """ + Overrides the ctypes semi-magic method + + Enables `c_func(some_array.ctypes)` + """ + return self.data_as(ctypes.c_void_p) + + # Numpy 1.21.0, 2021-05-18 + + def get_data(self): + """Deprecated getter for the `_ctypes.data` property. + + .. deprecated:: 1.21 + """ + warnings.warn('"get_data" is deprecated. Use "data" instead', + DeprecationWarning, stacklevel=2) + return self.data + + def get_shape(self): + """Deprecated getter for the `_ctypes.shape` property. + + .. deprecated:: 1.21 + """ + warnings.warn('"get_shape" is deprecated. Use "shape" instead', + DeprecationWarning, stacklevel=2) + return self.shape + + def get_strides(self): + """Deprecated getter for the `_ctypes.strides` property. + + .. deprecated:: 1.21 + """ + warnings.warn('"get_strides" is deprecated. Use "strides" instead', + DeprecationWarning, stacklevel=2) + return self.strides + + def get_as_parameter(self): + """Deprecated getter for the `_ctypes._as_parameter_` property. + + .. deprecated:: 1.21 + """ + warnings.warn( + '"get_as_parameter" is deprecated. Use "_as_parameter_" instead', + DeprecationWarning, stacklevel=2, + ) + return self._as_parameter_ + + +def _newnames(datatype, order): + """ + Given a datatype and an order object, return a new names tuple, with the + order indicated + """ + oldnames = datatype.names + nameslist = list(oldnames) + if isinstance(order, str): + order = [order] + seen = set() + if isinstance(order, (list, tuple)): + for name in order: + try: + nameslist.remove(name) + except ValueError: + if name in seen: + raise ValueError(f"duplicate field name: {name}") from None + else: + raise ValueError(f"unknown field name: {name}") from None + seen.add(name) + return tuple(list(order) + nameslist) + raise ValueError(f"unsupported order value: {order}") + +def _copy_fields(ary): + """Return copy of structured array with padding between fields removed. + + Parameters + ---------- + ary : ndarray + Structured array from which to remove padding bytes + + Returns + ------- + ary_copy : ndarray + Copy of ary with padding bytes removed + """ + dt = ary.dtype + copy_dtype = {'names': dt.names, + 'formats': [dt.fields[name][0] for name in dt.names]} + return array(ary, dtype=copy_dtype, copy=True) + +def _promote_fields(dt1, dt2): + """ Perform type promotion for two structured dtypes. + + Parameters + ---------- + dt1 : structured dtype + First dtype. + dt2 : structured dtype + Second dtype. + + Returns + ------- + out : dtype + The promoted dtype + + Notes + ----- + If one of the inputs is aligned, the result will be. The titles of + both descriptors must match (point to the same field). + """ + # Both must be structured and have the same names in the same order + if (dt1.names is None or dt2.names is None) or dt1.names != dt2.names: + raise DTypePromotionError( + f"field names `{dt1.names}` and `{dt2.names}` mismatch.") + + # if both are identical, we can (maybe!) just return the same dtype. + identical = dt1 is dt2 + new_fields = [] + for name in dt1.names: + field1 = dt1.fields[name] + field2 = dt2.fields[name] + new_descr = promote_types(field1[0], field2[0]) + identical = identical and new_descr is field1[0] + + # Check that the titles match (if given): + if field1[2:] != field2[2:]: + raise DTypePromotionError( + f"field titles of field '{name}' mismatch") + if len(field1) == 2: + new_fields.append((name, new_descr)) + else: + new_fields.append(((field1[2], name), new_descr)) + + res = dtype(new_fields, align=dt1.isalignedstruct or dt2.isalignedstruct) + + # Might as well preserve identity (and metadata) if the dtype is identical + # and the itemsize, offsets are also unmodified. This could probably be + # sped up, but also probably just be removed entirely. + if identical and res.itemsize == dt1.itemsize: + for name in dt1.names: + if dt1.fields[name][1] != res.fields[name][1]: + return res # the dtype changed. + return dt1 + + return res + + +def _getfield_is_safe(oldtype, newtype, offset): + """ Checks safety of getfield for object arrays. + + As in _view_is_safe, we need to check that memory containing objects is not + reinterpreted as a non-object datatype and vice versa. + + Parameters + ---------- + oldtype : data-type + Data type of the original ndarray. + newtype : data-type + Data type of the field being accessed by ndarray.getfield + offset : int + Offset of the field being accessed by ndarray.getfield + + Raises + ------ + TypeError + If the field access is invalid + + """ + if newtype.hasobject or oldtype.hasobject: + if offset == 0 and newtype == oldtype: + return + if oldtype.names is not None: + for name in oldtype.names: + if (oldtype.fields[name][1] == offset and + oldtype.fields[name][0] == newtype): + return + raise TypeError("Cannot get/set field of an object array") + return + +def _view_is_safe(oldtype, newtype): + """ Checks safety of a view involving object arrays, for example when + doing:: + + np.zeros(10, dtype=oldtype).view(newtype) + + Parameters + ---------- + oldtype : data-type + Data type of original ndarray + newtype : data-type + Data type of the view + + Raises + ------ + TypeError + If the new type is incompatible with the old type. + + """ + + # if the types are equivalent, there is no problem. + # for example: dtype((np.record, 'i4,i4')) == dtype((np.void, 'i4,i4')) + if oldtype == newtype: + return + + if newtype.hasobject or oldtype.hasobject: + raise TypeError("Cannot change data-type for array of references.") + return + + +# Given a string containing a PEP 3118 format specifier, +# construct a NumPy dtype + +_pep3118_native_map = { + '?': '?', + 'c': 'S1', + 'b': 'b', + 'B': 'B', + 'h': 'h', + 'H': 'H', + 'i': 'i', + 'I': 'I', + 'l': 'l', + 'L': 'L', + 'q': 'q', + 'Q': 'Q', + 'e': 'e', + 'f': 'f', + 'd': 'd', + 'g': 'g', + 'Zf': 'F', + 'Zd': 'D', + 'Zg': 'G', + 's': 'S', + 'w': 'U', + 'O': 'O', + 'x': 'V', # padding +} +_pep3118_native_typechars = ''.join(_pep3118_native_map.keys()) + +_pep3118_standard_map = { + '?': '?', + 'c': 'S1', + 'b': 'b', + 'B': 'B', + 'h': 'i2', + 'H': 'u2', + 'i': 'i4', + 'I': 'u4', + 'l': 'i4', + 'L': 'u4', + 'q': 'i8', + 'Q': 'u8', + 'e': 'f2', + 'f': 'f', + 'd': 'd', + 'Zf': 'F', + 'Zd': 'D', + 's': 'S', + 'w': 'U', + 'O': 'O', + 'x': 'V', # padding +} +_pep3118_standard_typechars = ''.join(_pep3118_standard_map.keys()) + +_pep3118_unsupported_map = { + 'u': 'UCS-2 strings', + '&': 'pointers', + 't': 'bitfields', + 'X': 'function pointers', +} + +class _Stream: + def __init__(self, s): + self.s = s + self.byteorder = '@' + + def advance(self, n): + res = self.s[:n] + self.s = self.s[n:] + return res + + def consume(self, c): + if self.s[:len(c)] == c: + self.advance(len(c)) + return True + return False + + def consume_until(self, c): + if callable(c): + i = 0 + while i < len(self.s) and not c(self.s[i]): + i = i + 1 + return self.advance(i) + else: + i = self.s.index(c) + res = self.advance(i) + self.advance(len(c)) + return res + + @property + def next(self): + return self.s[0] + + def __bool__(self): + return bool(self.s) + + +def _dtype_from_pep3118(spec): + stream = _Stream(spec) + dtype, align = __dtype_from_pep3118(stream, is_subdtype=False) + return dtype + +def __dtype_from_pep3118(stream, is_subdtype): + field_spec = dict( + names=[], + formats=[], + offsets=[], + itemsize=0 + ) + offset = 0 + common_alignment = 1 + is_padding = False + + # Parse spec + while stream: + value = None + + # End of structure, bail out to upper level + if stream.consume('}'): + break + + # Sub-arrays (1) + shape = None + if stream.consume('('): + shape = stream.consume_until(')') + shape = tuple(map(int, shape.split(','))) + + # Byte order + if stream.next in ('@', '=', '<', '>', '^', '!'): + byteorder = stream.advance(1) + if byteorder == '!': + byteorder = '>' + stream.byteorder = byteorder + + # Byte order characters also control native vs. standard type sizes + if stream.byteorder in ('@', '^'): + type_map = _pep3118_native_map + type_map_chars = _pep3118_native_typechars + else: + type_map = _pep3118_standard_map + type_map_chars = _pep3118_standard_typechars + + # Item sizes + itemsize_str = stream.consume_until(lambda c: not c.isdigit()) + if itemsize_str: + itemsize = int(itemsize_str) + else: + itemsize = 1 + + # Data types + is_padding = False + + if stream.consume('T{'): + value, align = __dtype_from_pep3118( + stream, is_subdtype=True) + elif stream.next in type_map_chars: + if stream.next == 'Z': + typechar = stream.advance(2) + else: + typechar = stream.advance(1) + + is_padding = (typechar == 'x') + dtypechar = type_map[typechar] + if dtypechar in 'USV': + dtypechar += '%d' % itemsize + itemsize = 1 + numpy_byteorder = {'@': '=', '^': '='}.get( + stream.byteorder, stream.byteorder) + value = dtype(numpy_byteorder + dtypechar) + align = value.alignment + elif stream.next in _pep3118_unsupported_map: + desc = _pep3118_unsupported_map[stream.next] + raise NotImplementedError( + "Unrepresentable PEP 3118 data type {!r} ({})" + .format(stream.next, desc)) + else: + raise ValueError( + "Unknown PEP 3118 data type specifier %r" % stream.s + ) + + # + # Native alignment may require padding + # + # Here we assume that the presence of a '@' character implicitly + # implies that the start of the array is *already* aligned. + # + extra_offset = 0 + if stream.byteorder == '@': + start_padding = (-offset) % align + intra_padding = (-value.itemsize) % align + + offset += start_padding + + if intra_padding != 0: + if itemsize > 1 or (shape is not None and _prod(shape) > 1): + # Inject internal padding to the end of the sub-item + value = _add_trailing_padding(value, intra_padding) + else: + # We can postpone the injection of internal padding, + # as the item appears at most once + extra_offset += intra_padding + + # Update common alignment + common_alignment = _lcm(align, common_alignment) + + # Convert itemsize to sub-array + if itemsize != 1: + value = dtype((value, (itemsize,))) + + # Sub-arrays (2) + if shape is not None: + value = dtype((value, shape)) + + # Field name + if stream.consume(':'): + name = stream.consume_until(':') + else: + name = None + + if not (is_padding and name is None): + if name is not None and name in field_spec['names']: + raise RuntimeError( + f"Duplicate field name '{name}' in PEP3118 format" + ) + field_spec['names'].append(name) + field_spec['formats'].append(value) + field_spec['offsets'].append(offset) + + offset += value.itemsize + offset += extra_offset + + field_spec['itemsize'] = offset + + # extra final padding for aligned types + if stream.byteorder == '@': + field_spec['itemsize'] += (-offset) % common_alignment + + # Check if this was a simple 1-item type, and unwrap it + if (field_spec['names'] == [None] + and field_spec['offsets'][0] == 0 + and field_spec['itemsize'] == field_spec['formats'][0].itemsize + and not is_subdtype): + ret = field_spec['formats'][0] + else: + _fix_names(field_spec) + ret = dtype(field_spec) + + # Finished + return ret, common_alignment + +def _fix_names(field_spec): + """ Replace names which are None with the next unused f%d name """ + names = field_spec['names'] + for i, name in enumerate(names): + if name is not None: + continue + + j = 0 + while True: + name = f'f{j}' + if name not in names: + break + j = j + 1 + names[i] = name + +def _add_trailing_padding(value, padding): + """Inject the specified number of padding bytes at the end of a dtype""" + if value.fields is None: + field_spec = dict( + names=['f0'], + formats=[value], + offsets=[0], + itemsize=value.itemsize + ) + else: + fields = value.fields + names = value.names + field_spec = dict( + names=names, + formats=[fields[name][0] for name in names], + offsets=[fields[name][1] for name in names], + itemsize=value.itemsize + ) + + field_spec['itemsize'] += padding + return dtype(field_spec) + +def _prod(a): + p = 1 + for x in a: + p *= x + return p + +def _gcd(a, b): + """Calculate the greatest common divisor of a and b""" + if not (math.isfinite(a) and math.isfinite(b)): + raise ValueError('Can only find greatest common divisor of ' + f'finite arguments, found "{a}" and "{b}"') + while b: + a, b = b, a % b + return a + +def _lcm(a, b): + return a // _gcd(a, b) * b + +def array_ufunc_errmsg_formatter(dummy, ufunc, method, *inputs, **kwargs): + """ Format the error message for when __array_ufunc__ gives up. """ + args_string = ', '.join(['{!r}'.format(arg) for arg in inputs] + + ['{}={!r}'.format(k, v) + for k, v in kwargs.items()]) + args = inputs + kwargs.get('out', ()) + types_string = ', '.join(repr(type(arg).__name__) for arg in args) + return ('operand type(s) all returned NotImplemented from ' + '__array_ufunc__({!r}, {!r}, {}): {}' + .format(ufunc, method, args_string, types_string)) + + +def array_function_errmsg_formatter(public_api, types): + """ Format the error message for when __array_ufunc__ gives up. """ + func_name = '{}.{}'.format(public_api.__module__, public_api.__name__) + return ("no implementation found for '{}' on types that implement " + '__array_function__: {}'.format(func_name, list(types))) + + +def _ufunc_doc_signature_formatter(ufunc): + """ + Builds a signature string which resembles PEP 457 + + This is used to construct the first line of the docstring + """ + + # input arguments are simple + if ufunc.nin == 1: + in_args = 'x' + else: + in_args = ', '.join(f'x{i+1}' for i in range(ufunc.nin)) + + # output arguments are both keyword or positional + if ufunc.nout == 0: + out_args = ', /, out=()' + elif ufunc.nout == 1: + out_args = ', /, out=None' + else: + out_args = '[, {positional}], / [, out={default}]'.format( + positional=', '.join( + 'out{}'.format(i+1) for i in range(ufunc.nout)), + default=repr((None,)*ufunc.nout) + ) + + # keyword only args depend on whether this is a gufunc + kwargs = ( + ", casting='same_kind'" + ", order='K'" + ", dtype=None" + ", subok=True" + ) + + # NOTE: gufuncs may or may not support the `axis` parameter + if ufunc.signature is None: + kwargs = f", where=True{kwargs}[, signature]" + else: + kwargs += "[, signature, axes, axis]" + + # join all the parts together + return '{name}({in_args}{out_args}, *{kwargs})'.format( + name=ufunc.__name__, + in_args=in_args, + out_args=out_args, + kwargs=kwargs + ) + + +def npy_ctypes_check(cls): + # determine if a class comes from ctypes, in order to work around + # a bug in the buffer protocol for those objects, bpo-10746 + try: + # ctypes class are new-style, so have an __mro__. This probably fails + # for ctypes classes with multiple inheritance. + if IS_PYPY: + # (..., _ctypes.basics._CData, Bufferable, object) + ctype_base = cls.__mro__[-3] + else: + # # (..., _ctypes._CData, object) + ctype_base = cls.__mro__[-2] + # right now, they're part of the _ctypes module + return '_ctypes' in ctype_base.__module__ + except Exception: + return False + +# used to handle the _NoValue default argument for na_object +# in the C implementation of the __reduce__ method for stringdtype +def _convert_to_stringdtype_kwargs(coerce, na_object=_NoValue): + if na_object is _NoValue: + return StringDType(coerce=coerce) + return StringDType(coerce=coerce, na_object=na_object) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_internal.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_internal.pyi new file mode 100644 index 0000000000000000000000000000000000000000..15726fe3064ec71c9f5f65211bcdad7a0f2ee646 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_internal.pyi @@ -0,0 +1,72 @@ +import ctypes as ct +import re +from collections.abc import Callable, Iterable +from typing import Any, Final, Generic, overload + +from typing_extensions import Self, TypeVar, deprecated + +import numpy as np +import numpy.typing as npt +from numpy.ctypeslib import c_intp + +_CastT = TypeVar("_CastT", bound=ct._CanCastTo) +_T_co = TypeVar("_T_co", covariant=True) +_CT = TypeVar("_CT", bound=ct._CData) +_PT_co = TypeVar("_PT_co", bound=int | None, default=None, covariant=True) + +### + +IS_PYPY: Final[bool] = ... + +format_re: Final[re.Pattern[str]] = ... +sep_re: Final[re.Pattern[str]] = ... +space_re: Final[re.Pattern[str]] = ... + +### + +# TODO: Let the likes of `shape_as` and `strides_as` return `None` +# for 0D arrays once we've got shape-support + +class _ctypes(Generic[_PT_co]): + @overload + def __init__(self: _ctypes[None], /, array: npt.NDArray[Any], ptr: None = None) -> None: ... + @overload + def __init__(self, /, array: npt.NDArray[Any], ptr: _PT_co) -> None: ... + + # + @property + def data(self) -> _PT_co: ... + @property + def shape(self) -> ct.Array[c_intp]: ... + @property + def strides(self) -> ct.Array[c_intp]: ... + @property + def _as_parameter_(self) -> ct.c_void_p: ... + + # + def data_as(self, /, obj: type[_CastT]) -> _CastT: ... + def shape_as(self, /, obj: type[_CT]) -> ct.Array[_CT]: ... + def strides_as(self, /, obj: type[_CT]) -> ct.Array[_CT]: ... + + # + @deprecated('"get_data" is deprecated. Use "data" instead') + def get_data(self, /) -> _PT_co: ... + @deprecated('"get_shape" is deprecated. Use "shape" instead') + def get_shape(self, /) -> ct.Array[c_intp]: ... + @deprecated('"get_strides" is deprecated. Use "strides" instead') + def get_strides(self, /) -> ct.Array[c_intp]: ... + @deprecated('"get_as_parameter" is deprecated. Use "_as_parameter_" instead') + def get_as_parameter(self, /) -> ct.c_void_p: ... + +class dummy_ctype(Generic[_T_co]): + _cls: type[_T_co] + + def __init__(self, /, cls: type[_T_co]) -> None: ... + def __eq__(self, other: Self, /) -> bool: ... # type: ignore[override] # pyright: ignore[reportIncompatibleMethodOverride] + def __ne__(self, other: Self, /) -> bool: ... # type: ignore[override] # pyright: ignore[reportIncompatibleMethodOverride] + def __mul__(self, other: object, /) -> Self: ... + def __call__(self, /, *other: object) -> _T_co: ... + +def array_ufunc_errmsg_formatter(dummy: object, ufunc: np.ufunc, method: str, *inputs: object, **kwargs: object) -> str: ... +def array_function_errmsg_formatter(public_api: Callable[..., object], types: Iterable[str]) -> str: ... +def npy_ctypes_check(cls: type) -> bool: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_machar.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_machar.py new file mode 100644 index 0000000000000000000000000000000000000000..d6e2d1496f28b785fda25a71b0552f0da80cdd3b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_machar.py @@ -0,0 +1,356 @@ +""" +Machine arithmetic - determine the parameters of the +floating-point arithmetic system + +Author: Pearu Peterson, September 2003 + +""" +__all__ = ['MachAr'] + +from .fromnumeric import any +from ._ufunc_config import errstate +from .._utils import set_module + +# Need to speed this up...especially for longdouble + +# Deprecated 2021-10-20, NumPy 1.22 +class MachAr: + """ + Diagnosing machine parameters. + + Attributes + ---------- + ibeta : int + Radix in which numbers are represented. + it : int + Number of base-`ibeta` digits in the floating point mantissa M. + machep : int + Exponent of the smallest (most negative) power of `ibeta` that, + added to 1.0, gives something different from 1.0 + eps : float + Floating-point number ``beta**machep`` (floating point precision) + negep : int + Exponent of the smallest power of `ibeta` that, subtracted + from 1.0, gives something different from 1.0. + epsneg : float + Floating-point number ``beta**negep``. + iexp : int + Number of bits in the exponent (including its sign and bias). + minexp : int + Smallest (most negative) power of `ibeta` consistent with there + being no leading zeros in the mantissa. + xmin : float + Floating-point number ``beta**minexp`` (the smallest [in + magnitude] positive floating point number with full precision). + maxexp : int + Smallest (positive) power of `ibeta` that causes overflow. + xmax : float + ``(1-epsneg) * beta**maxexp`` (the largest [in magnitude] + usable floating value). + irnd : int + In ``range(6)``, information on what kind of rounding is done + in addition, and on how underflow is handled. + ngrd : int + Number of 'guard digits' used when truncating the product + of two mantissas to fit the representation. + epsilon : float + Same as `eps`. + tiny : float + An alias for `smallest_normal`, kept for backwards compatibility. + huge : float + Same as `xmax`. + precision : float + ``- int(-log10(eps))`` + resolution : float + ``- 10**(-precision)`` + smallest_normal : float + The smallest positive floating point number with 1 as leading bit in + the mantissa following IEEE-754. Same as `xmin`. + smallest_subnormal : float + The smallest positive floating point number with 0 as leading bit in + the mantissa following IEEE-754. + + Parameters + ---------- + float_conv : function, optional + Function that converts an integer or integer array to a float + or float array. Default is `float`. + int_conv : function, optional + Function that converts a float or float array to an integer or + integer array. Default is `int`. + float_to_float : function, optional + Function that converts a float array to float. Default is `float`. + Note that this does not seem to do anything useful in the current + implementation. + float_to_str : function, optional + Function that converts a single float to a string. Default is + ``lambda v:'%24.16e' %v``. + title : str, optional + Title that is printed in the string representation of `MachAr`. + + See Also + -------- + finfo : Machine limits for floating point types. + iinfo : Machine limits for integer types. + + References + ---------- + .. [1] Press, Teukolsky, Vetterling and Flannery, + "Numerical Recipes in C++," 2nd ed, + Cambridge University Press, 2002, p. 31. + + """ + + def __init__(self, float_conv=float,int_conv=int, + float_to_float=float, + float_to_str=lambda v:'%24.16e' % v, + title='Python floating point number'): + """ + + float_conv - convert integer to float (array) + int_conv - convert float (array) to integer + float_to_float - convert float array to float + float_to_str - convert array float to str + title - description of used floating point numbers + + """ + # We ignore all errors here because we are purposely triggering + # underflow to detect the properties of the running arch. + with errstate(under='ignore'): + self._do_init(float_conv, int_conv, float_to_float, float_to_str, title) + + def _do_init(self, float_conv, int_conv, float_to_float, float_to_str, title): + max_iterN = 10000 + msg = "Did not converge after %d tries with %s" + one = float_conv(1) + two = one + one + zero = one - one + + # Do we really need to do this? Aren't they 2 and 2.0? + # Determine ibeta and beta + a = one + for _ in range(max_iterN): + a = a + a + temp = a + one + temp1 = temp - a + if any(temp1 - one != zero): + break + else: + raise RuntimeError(msg % (_, one.dtype)) + b = one + for _ in range(max_iterN): + b = b + b + temp = a + b + itemp = int_conv(temp-a) + if any(itemp != 0): + break + else: + raise RuntimeError(msg % (_, one.dtype)) + ibeta = itemp + beta = float_conv(ibeta) + + # Determine it and irnd + it = -1 + b = one + for _ in range(max_iterN): + it = it + 1 + b = b * beta + temp = b + one + temp1 = temp - b + if any(temp1 - one != zero): + break + else: + raise RuntimeError(msg % (_, one.dtype)) + + betah = beta / two + a = one + for _ in range(max_iterN): + a = a + a + temp = a + one + temp1 = temp - a + if any(temp1 - one != zero): + break + else: + raise RuntimeError(msg % (_, one.dtype)) + temp = a + betah + irnd = 0 + if any(temp-a != zero): + irnd = 1 + tempa = a + beta + temp = tempa + betah + if irnd == 0 and any(temp-tempa != zero): + irnd = 2 + + # Determine negep and epsneg + negep = it + 3 + betain = one / beta + a = one + for i in range(negep): + a = a * betain + b = a + for _ in range(max_iterN): + temp = one - a + if any(temp-one != zero): + break + a = a * beta + negep = negep - 1 + # Prevent infinite loop on PPC with gcc 4.0: + if negep < 0: + raise RuntimeError("could not determine machine tolerance " + "for 'negep', locals() -> %s" % (locals())) + else: + raise RuntimeError(msg % (_, one.dtype)) + negep = -negep + epsneg = a + + # Determine machep and eps + machep = - it - 3 + a = b + + for _ in range(max_iterN): + temp = one + a + if any(temp-one != zero): + break + a = a * beta + machep = machep + 1 + else: + raise RuntimeError(msg % (_, one.dtype)) + eps = a + + # Determine ngrd + ngrd = 0 + temp = one + eps + if irnd == 0 and any(temp*one - one != zero): + ngrd = 1 + + # Determine iexp + i = 0 + k = 1 + z = betain + t = one + eps + nxres = 0 + for _ in range(max_iterN): + y = z + z = y*y + a = z*one # Check here for underflow + temp = z*t + if any(a+a == zero) or any(abs(z) >= y): + break + temp1 = temp * betain + if any(temp1*beta == z): + break + i = i + 1 + k = k + k + else: + raise RuntimeError(msg % (_, one.dtype)) + if ibeta != 10: + iexp = i + 1 + mx = k + k + else: + iexp = 2 + iz = ibeta + while k >= iz: + iz = iz * ibeta + iexp = iexp + 1 + mx = iz + iz - 1 + + # Determine minexp and xmin + for _ in range(max_iterN): + xmin = y + y = y * betain + a = y * one + temp = y * t + if any((a + a) != zero) and any(abs(y) < xmin): + k = k + 1 + temp1 = temp * betain + if any(temp1*beta == y) and any(temp != y): + nxres = 3 + xmin = y + break + else: + break + else: + raise RuntimeError(msg % (_, one.dtype)) + minexp = -k + + # Determine maxexp, xmax + if mx <= k + k - 3 and ibeta != 10: + mx = mx + mx + iexp = iexp + 1 + maxexp = mx + minexp + irnd = irnd + nxres + if irnd >= 2: + maxexp = maxexp - 2 + i = maxexp + minexp + if ibeta == 2 and not i: + maxexp = maxexp - 1 + if i > 20: + maxexp = maxexp - 1 + if any(a != y): + maxexp = maxexp - 2 + xmax = one - epsneg + if any(xmax*one != xmax): + xmax = one - beta*epsneg + xmax = xmax / (xmin*beta*beta*beta) + i = maxexp + minexp + 3 + for j in range(i): + if ibeta == 2: + xmax = xmax + xmax + else: + xmax = xmax * beta + + smallest_subnormal = abs(xmin / beta ** (it)) + + self.ibeta = ibeta + self.it = it + self.negep = negep + self.epsneg = float_to_float(epsneg) + self._str_epsneg = float_to_str(epsneg) + self.machep = machep + self.eps = float_to_float(eps) + self._str_eps = float_to_str(eps) + self.ngrd = ngrd + self.iexp = iexp + self.minexp = minexp + self.xmin = float_to_float(xmin) + self._str_xmin = float_to_str(xmin) + self.maxexp = maxexp + self.xmax = float_to_float(xmax) + self._str_xmax = float_to_str(xmax) + self.irnd = irnd + + self.title = title + # Commonly used parameters + self.epsilon = self.eps + self.tiny = self.xmin + self.huge = self.xmax + self.smallest_normal = self.xmin + self._str_smallest_normal = float_to_str(self.xmin) + self.smallest_subnormal = float_to_float(smallest_subnormal) + self._str_smallest_subnormal = float_to_str(smallest_subnormal) + + import math + self.precision = int(-math.log10(float_to_float(self.eps))) + ten = two + two + two + two + two + resolution = ten ** (-self.precision) + self.resolution = float_to_float(resolution) + self._str_resolution = float_to_str(resolution) + + def __str__(self): + fmt = ( + 'Machine parameters for %(title)s\n' + '---------------------------------------------------------------------\n' + 'ibeta=%(ibeta)s it=%(it)s iexp=%(iexp)s ngrd=%(ngrd)s irnd=%(irnd)s\n' + 'machep=%(machep)s eps=%(_str_eps)s (beta**machep == epsilon)\n' + 'negep =%(negep)s epsneg=%(_str_epsneg)s (beta**epsneg)\n' + 'minexp=%(minexp)s xmin=%(_str_xmin)s (beta**minexp == tiny)\n' + 'maxexp=%(maxexp)s xmax=%(_str_xmax)s ((1-epsneg)*beta**maxexp == huge)\n' + 'smallest_normal=%(smallest_normal)s ' + 'smallest_subnormal=%(smallest_subnormal)s\n' + '---------------------------------------------------------------------\n' + ) + return fmt % self.__dict__ + + +if __name__ == '__main__': + print(MachAr()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_machar.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_machar.pyi new file mode 100644 index 0000000000000000000000000000000000000000..5abfc779c2120734c29d017844dd6ecc2b171bdb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_machar.pyi @@ -0,0 +1,73 @@ +from collections.abc import Iterable +from typing import Any, Final, overload + +from typing_extensions import TypeVar, Unpack + +import numpy as np +from numpy import _CastingKind +from numpy._utils import set_module as set_module + +### + +_T = TypeVar("_T") +_TupleT = TypeVar("_TupleT", bound=tuple[()] | tuple[Any, Any, Unpack[tuple[Any, ...]]]) +_ExceptionT = TypeVar("_ExceptionT", bound=Exception) + +### + +class UFuncTypeError(TypeError): + ufunc: Final[np.ufunc] + def __init__(self, /, ufunc: np.ufunc) -> None: ... + +class _UFuncNoLoopError(UFuncTypeError): + dtypes: tuple[np.dtype[Any], ...] + def __init__(self, /, ufunc: np.ufunc, dtypes: Iterable[np.dtype[Any]]) -> None: ... + +class _UFuncBinaryResolutionError(_UFuncNoLoopError): + dtypes: tuple[np.dtype[Any], np.dtype[Any]] + def __init__(self, /, ufunc: np.ufunc, dtypes: Iterable[np.dtype[Any]]) -> None: ... + +class _UFuncCastingError(UFuncTypeError): + casting: Final[_CastingKind] + from_: Final[np.dtype[Any]] + to: Final[np.dtype[Any]] + def __init__(self, /, ufunc: np.ufunc, casting: _CastingKind, from_: np.dtype[Any], to: np.dtype[Any]) -> None: ... + +class _UFuncInputCastingError(_UFuncCastingError): + in_i: Final[int] + def __init__( + self, + /, + ufunc: np.ufunc, + casting: _CastingKind, + from_: np.dtype[Any], + to: np.dtype[Any], + i: int, + ) -> None: ... + +class _UFuncOutputCastingError(_UFuncCastingError): + out_i: Final[int] + def __init__( + self, + /, + ufunc: np.ufunc, + casting: _CastingKind, + from_: np.dtype[Any], + to: np.dtype[Any], + i: int, + ) -> None: ... + +class _ArrayMemoryError(MemoryError): + shape: tuple[int, ...] + dtype: np.dtype[Any] + def __init__(self, /, shape: tuple[int, ...], dtype: np.dtype[Any]) -> None: ... + @property + def _total_size(self) -> int: ... + @staticmethod + def _size_to_string(num_bytes: int) -> str: ... + +@overload +def _unpack_tuple(tup: tuple[_T]) -> _T: ... +@overload +def _unpack_tuple(tup: _TupleT) -> _TupleT: ... +def _display_as_base(cls: type[_ExceptionT]) -> type[_ExceptionT]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_methods.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_methods.py new file mode 100644 index 0000000000000000000000000000000000000000..03c673fc0ff881d8de7f5d6f52abf975c9db3360 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_methods.py @@ -0,0 +1,256 @@ +""" +Array methods which are called by both the C-code for the method +and the Python code for the NumPy-namespace function + +""" +import os +import pickle +import warnings +from contextlib import nullcontext + +import numpy as np +from numpy._core import multiarray as mu +from numpy._core import umath as um +from numpy._core.multiarray import asanyarray +from numpy._core import numerictypes as nt +from numpy._core import _exceptions +from numpy._globals import _NoValue + +# save those O(100) nanoseconds! +bool_dt = mu.dtype("bool") +umr_maximum = um.maximum.reduce +umr_minimum = um.minimum.reduce +umr_sum = um.add.reduce +umr_prod = um.multiply.reduce +umr_bitwise_count = um.bitwise_count +umr_any = um.logical_or.reduce +umr_all = um.logical_and.reduce + +# Complex types to -> (2,)float view for fast-path computation in _var() +_complex_to_float = { + nt.dtype(nt.csingle) : nt.dtype(nt.single), + nt.dtype(nt.cdouble) : nt.dtype(nt.double), +} +# Special case for windows: ensure double takes precedence +if nt.dtype(nt.longdouble) != nt.dtype(nt.double): + _complex_to_float.update({ + nt.dtype(nt.clongdouble) : nt.dtype(nt.longdouble), + }) + +# avoid keyword arguments to speed up parsing, saves about 15%-20% for very +# small reductions +def _amax(a, axis=None, out=None, keepdims=False, + initial=_NoValue, where=True): + return umr_maximum(a, axis, None, out, keepdims, initial, where) + +def _amin(a, axis=None, out=None, keepdims=False, + initial=_NoValue, where=True): + return umr_minimum(a, axis, None, out, keepdims, initial, where) + +def _sum(a, axis=None, dtype=None, out=None, keepdims=False, + initial=_NoValue, where=True): + return umr_sum(a, axis, dtype, out, keepdims, initial, where) + +def _prod(a, axis=None, dtype=None, out=None, keepdims=False, + initial=_NoValue, where=True): + return umr_prod(a, axis, dtype, out, keepdims, initial, where) + +def _any(a, axis=None, dtype=None, out=None, keepdims=False, *, where=True): + # By default, return a boolean for any and all + if dtype is None: + dtype = bool_dt + # Parsing keyword arguments is currently fairly slow, so avoid it for now + if where is True: + return umr_any(a, axis, dtype, out, keepdims) + return umr_any(a, axis, dtype, out, keepdims, where=where) + +def _all(a, axis=None, dtype=None, out=None, keepdims=False, *, where=True): + # By default, return a boolean for any and all + if dtype is None: + dtype = bool_dt + # Parsing keyword arguments is currently fairly slow, so avoid it for now + if where is True: + return umr_all(a, axis, dtype, out, keepdims) + return umr_all(a, axis, dtype, out, keepdims, where=where) + +def _count_reduce_items(arr, axis, keepdims=False, where=True): + # fast-path for the default case + if where is True: + # no boolean mask given, calculate items according to axis + if axis is None: + axis = tuple(range(arr.ndim)) + elif not isinstance(axis, tuple): + axis = (axis,) + items = 1 + for ax in axis: + items *= arr.shape[mu.normalize_axis_index(ax, arr.ndim)] + items = nt.intp(items) + else: + # TODO: Optimize case when `where` is broadcast along a non-reduction + # axis and full sum is more excessive than needed. + + # guarded to protect circular imports + from numpy.lib._stride_tricks_impl import broadcast_to + # count True values in (potentially broadcasted) boolean mask + items = umr_sum(broadcast_to(where, arr.shape), axis, nt.intp, None, + keepdims) + return items + +def _clip(a, min=None, max=None, out=None, **kwargs): + if a.dtype.kind in "iu": + # If min/max is a Python integer, deal with out-of-bound values here. + # (This enforces NEP 50 rules as no value based promotion is done.) + if type(min) is int and min <= np.iinfo(a.dtype).min: + min = None + if type(max) is int and max >= np.iinfo(a.dtype).max: + max = None + + if min is None and max is None: + # return identity + return um.positive(a, out=out, **kwargs) + elif min is None: + return um.minimum(a, max, out=out, **kwargs) + elif max is None: + return um.maximum(a, min, out=out, **kwargs) + else: + return um.clip(a, min, max, out=out, **kwargs) + +def _mean(a, axis=None, dtype=None, out=None, keepdims=False, *, where=True): + arr = asanyarray(a) + + is_float16_result = False + + rcount = _count_reduce_items(arr, axis, keepdims=keepdims, where=where) + if rcount == 0 if where is True else umr_any(rcount == 0, axis=None): + warnings.warn("Mean of empty slice.", RuntimeWarning, stacklevel=2) + + # Cast bool, unsigned int, and int to float64 by default + if dtype is None: + if issubclass(arr.dtype.type, (nt.integer, nt.bool)): + dtype = mu.dtype('f8') + elif issubclass(arr.dtype.type, nt.float16): + dtype = mu.dtype('f4') + is_float16_result = True + + ret = umr_sum(arr, axis, dtype, out, keepdims, where=where) + if isinstance(ret, mu.ndarray): + ret = um.true_divide( + ret, rcount, out=ret, casting='unsafe', subok=False) + if is_float16_result and out is None: + ret = arr.dtype.type(ret) + elif hasattr(ret, 'dtype'): + if is_float16_result: + ret = arr.dtype.type(ret / rcount) + else: + ret = ret.dtype.type(ret / rcount) + else: + ret = ret / rcount + + return ret + +def _var(a, axis=None, dtype=None, out=None, ddof=0, keepdims=False, *, + where=True, mean=None): + arr = asanyarray(a) + + rcount = _count_reduce_items(arr, axis, keepdims=keepdims, where=where) + # Make this warning show up on top. + if ddof >= rcount if where is True else umr_any(ddof >= rcount, axis=None): + warnings.warn("Degrees of freedom <= 0 for slice", RuntimeWarning, + stacklevel=2) + + # Cast bool, unsigned int, and int to float64 by default + if dtype is None and issubclass(arr.dtype.type, (nt.integer, nt.bool)): + dtype = mu.dtype('f8') + + if mean is not None: + arrmean = mean + else: + # Compute the mean. + # Note that if dtype is not of inexact type then arraymean will + # not be either. + arrmean = umr_sum(arr, axis, dtype, keepdims=True, where=where) + # The shape of rcount has to match arrmean to not change the shape of + # out in broadcasting. Otherwise, it cannot be stored back to arrmean. + if rcount.ndim == 0: + # fast-path for default case when where is True + div = rcount + else: + # matching rcount to arrmean when where is specified as array + div = rcount.reshape(arrmean.shape) + if isinstance(arrmean, mu.ndarray): + arrmean = um.true_divide(arrmean, div, out=arrmean, + casting='unsafe', subok=False) + elif hasattr(arrmean, "dtype"): + arrmean = arrmean.dtype.type(arrmean / rcount) + else: + arrmean = arrmean / rcount + + # Compute sum of squared deviations from mean + # Note that x may not be inexact and that we need it to be an array, + # not a scalar. + x = asanyarray(arr - arrmean) + + if issubclass(arr.dtype.type, (nt.floating, nt.integer)): + x = um.multiply(x, x, out=x) + # Fast-paths for built-in complex types + elif x.dtype in _complex_to_float: + xv = x.view(dtype=(_complex_to_float[x.dtype], (2,))) + um.multiply(xv, xv, out=xv) + x = um.add(xv[..., 0], xv[..., 1], out=x.real).real + # Most general case; includes handling object arrays containing imaginary + # numbers and complex types with non-native byteorder + else: + x = um.multiply(x, um.conjugate(x), out=x).real + + ret = umr_sum(x, axis, dtype, out, keepdims=keepdims, where=where) + + # Compute degrees of freedom and make sure it is not negative. + rcount = um.maximum(rcount - ddof, 0) + + # divide by degrees of freedom + if isinstance(ret, mu.ndarray): + ret = um.true_divide( + ret, rcount, out=ret, casting='unsafe', subok=False) + elif hasattr(ret, 'dtype'): + ret = ret.dtype.type(ret / rcount) + else: + ret = ret / rcount + + return ret + +def _std(a, axis=None, dtype=None, out=None, ddof=0, keepdims=False, *, + where=True, mean=None): + ret = _var(a, axis=axis, dtype=dtype, out=out, ddof=ddof, + keepdims=keepdims, where=where, mean=mean) + + if isinstance(ret, mu.ndarray): + ret = um.sqrt(ret, out=ret) + elif hasattr(ret, 'dtype'): + ret = ret.dtype.type(um.sqrt(ret)) + else: + ret = um.sqrt(ret) + + return ret + +def _ptp(a, axis=None, out=None, keepdims=False): + return um.subtract( + umr_maximum(a, axis, None, out, keepdims), + umr_minimum(a, axis, None, None, keepdims), + out + ) + +def _dump(self, file, protocol=2): + if hasattr(file, 'write'): + ctx = nullcontext(file) + else: + ctx = open(os.fspath(file), "wb") + with ctx as f: + pickle.dump(self, f, protocol=protocol) + +def _dumps(self, protocol=2): + return pickle.dumps(self, protocol=protocol) + +def _bitwise_count(a, out=None, *, where=True, casting='same_kind', + order='K', dtype=None, subok=True): + return umr_bitwise_count(a, out, where=where, casting=casting, + order=order, dtype=dtype, subok=subok) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_methods.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_methods.pyi new file mode 100644 index 0000000000000000000000000000000000000000..45e2b8b9f761d9144fbc054a8f461d557a3f7690 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_methods.pyi @@ -0,0 +1,24 @@ +from collections.abc import Callable +from typing import Any, TypeAlias + +from typing_extensions import Concatenate + +import numpy as np + +from . import _exceptions as _exceptions + +### + +_Reduce2: TypeAlias = Callable[Concatenate[object, ...], Any] + +### + +bool_dt: np.dtype[np.bool] = ... +umr_maximum: _Reduce2 = ... +umr_minimum: _Reduce2 = ... +umr_sum: _Reduce2 = ... +umr_prod: _Reduce2 = ... +umr_bitwise_count = np.bitwise_count +umr_any: _Reduce2 = ... +umr_all: _Reduce2 = ... +_complex_to_float: dict[np.dtype[np.complexfloating], np.dtype[np.floating]] = ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_operand_flag_tests.cpython-310-x86_64-linux-gnu.so b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_operand_flag_tests.cpython-310-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..d59f49e9b59fa7f7099de3a42f9dc3f64689180f Binary files /dev/null and b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_operand_flag_tests.cpython-310-x86_64-linux-gnu.so differ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_rational_tests.cpython-310-x86_64-linux-gnu.so b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_rational_tests.cpython-310-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..c1d1743efb448697e4b7aa3a0373579f73c55f65 Binary files /dev/null and b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_rational_tests.cpython-310-x86_64-linux-gnu.so differ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_simd.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_simd.pyi new file mode 100644 index 0000000000000000000000000000000000000000..70bb7077797e044f6214a731642cc815bf63868d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_simd.pyi @@ -0,0 +1,25 @@ +from types import ModuleType +from typing import TypedDict, type_check_only + +# NOTE: these 5 are only defined on systems with an intel processor +SSE42: ModuleType | None = ... +FMA3: ModuleType | None = ... +AVX2: ModuleType | None = ... +AVX512F: ModuleType | None = ... +AVX512_SKX: ModuleType | None = ... + +baseline: ModuleType | None = ... + +@type_check_only +class SimdTargets(TypedDict): + SSE42: ModuleType | None + AVX2: ModuleType | None + FMA3: ModuleType | None + AVX512F: ModuleType | None + AVX512_SKX: ModuleType | None + baseline: ModuleType | None + +targets: SimdTargets = ... + +def clear_floatstatus() -> None: ... +def get_floatstatus() -> int: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_string_helpers.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_string_helpers.py new file mode 100644 index 0000000000000000000000000000000000000000..8a64ab5a05e43714d07245b3ad7cd204e1831095 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_string_helpers.py @@ -0,0 +1,100 @@ +""" +String-handling utilities to avoid locale-dependence. + +Used primarily to generate type name aliases. +""" +# "import string" is costly to import! +# Construct the translation tables directly +# "A" = chr(65), "a" = chr(97) +_all_chars = tuple(map(chr, range(256))) +_ascii_upper = _all_chars[65:65+26] +_ascii_lower = _all_chars[97:97+26] +LOWER_TABLE = _all_chars[:65] + _ascii_lower + _all_chars[65+26:] +UPPER_TABLE = _all_chars[:97] + _ascii_upper + _all_chars[97+26:] + + +def english_lower(s): + """ Apply English case rules to convert ASCII strings to all lower case. + + This is an internal utility function to replace calls to str.lower() such + that we can avoid changing behavior with changing locales. In particular, + Turkish has distinct dotted and dotless variants of the Latin letter "I" in + both lowercase and uppercase. Thus, "I".lower() != "i" in a "tr" locale. + + Parameters + ---------- + s : str + + Returns + ------- + lowered : str + + Examples + -------- + >>> from numpy._core.numerictypes import english_lower + >>> english_lower('ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789_') + 'abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyz0123456789_' + >>> english_lower('') + '' + """ + lowered = s.translate(LOWER_TABLE) + return lowered + + +def english_upper(s): + """ Apply English case rules to convert ASCII strings to all upper case. + + This is an internal utility function to replace calls to str.upper() such + that we can avoid changing behavior with changing locales. In particular, + Turkish has distinct dotted and dotless variants of the Latin letter "I" in + both lowercase and uppercase. Thus, "i".upper() != "I" in a "tr" locale. + + Parameters + ---------- + s : str + + Returns + ------- + uppered : str + + Examples + -------- + >>> from numpy._core.numerictypes import english_upper + >>> english_upper('ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789_') + 'ABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789_' + >>> english_upper('') + '' + """ + uppered = s.translate(UPPER_TABLE) + return uppered + + +def english_capitalize(s): + """ Apply English case rules to convert the first character of an ASCII + string to upper case. + + This is an internal utility function to replace calls to str.capitalize() + such that we can avoid changing behavior with changing locales. + + Parameters + ---------- + s : str + + Returns + ------- + capitalized : str + + Examples + -------- + >>> from numpy._core.numerictypes import english_capitalize + >>> english_capitalize('int8') + 'Int8' + >>> english_capitalize('Int8') + 'Int8' + >>> english_capitalize('') + '' + """ + if s: + return english_upper(s[0]) + s[1:] + else: + return s diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_string_helpers.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_string_helpers.pyi new file mode 100644 index 0000000000000000000000000000000000000000..6a85832b7a930edf28cf414e1f7801e6a3d94605 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_string_helpers.pyi @@ -0,0 +1,12 @@ +from typing import Final + +_all_chars: Final[tuple[str, ...]] = ... +_ascii_upper: Final[tuple[str, ...]] = ... +_ascii_lower: Final[tuple[str, ...]] = ... + +LOWER_TABLE: Final[tuple[str, ...]] = ... +UPPER_TABLE: Final[tuple[str, ...]] = ... + +def english_lower(s: str) -> str: ... +def english_upper(s: str) -> str: ... +def english_capitalize(s: str) -> str: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_struct_ufunc_tests.cpython-310-x86_64-linux-gnu.so b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_struct_ufunc_tests.cpython-310-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..13a0f4984c3f15de34d6285a34f2ec84c455b58c Binary files /dev/null and b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_struct_ufunc_tests.cpython-310-x86_64-linux-gnu.so differ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_type_aliases.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_type_aliases.py new file mode 100644 index 0000000000000000000000000000000000000000..b8ea3851f0e5c4375b272925f375752a34118a24 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_type_aliases.py @@ -0,0 +1,119 @@ +""" +Due to compatibility, numpy has a very large number of different naming +conventions for the scalar types (those subclassing from `numpy.generic`). +This file produces a convoluted set of dictionaries mapping names to types, +and sometimes other mappings too. + +.. data:: allTypes + A dictionary of names to types that will be exposed as attributes through + ``np._core.numerictypes.*`` + +.. data:: sctypeDict + Similar to `allTypes`, but maps a broader set of aliases to their types. + +.. data:: sctypes + A dictionary keyed by a "type group" string, providing a list of types + under that group. + +""" + +import numpy._core.multiarray as ma +from numpy._core.multiarray import typeinfo, dtype + +###################################### +# Building `sctypeDict` and `allTypes` +###################################### + +sctypeDict = {} +allTypes = {} +c_names_dict = {} + +_abstract_type_names = { + "generic", "integer", "inexact", "floating", "number", + "flexible", "character", "complexfloating", "unsignedinteger", + "signedinteger" +} + +for _abstract_type_name in _abstract_type_names: + allTypes[_abstract_type_name] = getattr(ma, _abstract_type_name) + +for k, v in typeinfo.items(): + if k.startswith("NPY_") and v not in c_names_dict: + c_names_dict[k[4:]] = v + else: + concrete_type = v.type + allTypes[k] = concrete_type + sctypeDict[k] = concrete_type + +_aliases = { + "double": "float64", + "cdouble": "complex128", + "single": "float32", + "csingle": "complex64", + "half": "float16", + "bool_": "bool", + # Default integer: + "int_": "intp", + "uint": "uintp", +} + +for k, v in _aliases.items(): + sctypeDict[k] = allTypes[v] + allTypes[k] = allTypes[v] + +# extra aliases are added only to `sctypeDict` +# to support dtype name access, such as`np.dtype("float")` +_extra_aliases = { + "float": "float64", + "complex": "complex128", + "object": "object_", + "bytes": "bytes_", + "a": "bytes_", + "int": "int_", + "str": "str_", + "unicode": "str_", +} + +for k, v in _extra_aliases.items(): + sctypeDict[k] = allTypes[v] + +# include extended precision sized aliases +for is_complex, full_name in [(False, "longdouble"), (True, "clongdouble")]: + longdouble_type: type = allTypes[full_name] + + bits: int = dtype(longdouble_type).itemsize * 8 + base_name: str = "complex" if is_complex else "float" + extended_prec_name: str = f"{base_name}{bits}" + if extended_prec_name not in allTypes: + sctypeDict[extended_prec_name] = longdouble_type + allTypes[extended_prec_name] = longdouble_type + + +#################### +# Building `sctypes` +#################### + +sctypes = {"int": set(), "uint": set(), "float": set(), + "complex": set(), "others": set()} + +for type_info in typeinfo.values(): + if type_info.kind in ["M", "m"]: # exclude timedelta and datetime + continue + + concrete_type = type_info.type + + # find proper group for each concrete type + for type_group, abstract_type in [ + ("int", ma.signedinteger), ("uint", ma.unsignedinteger), + ("float", ma.floating), ("complex", ma.complexfloating), + ("others", ma.generic) + ]: + if issubclass(concrete_type, abstract_type): + sctypes[type_group].add(concrete_type) + break + +# sort sctype groups by bitsize +for sctype_key in sctypes.keys(): + sctype_list = list(sctypes[sctype_key]) + sctype_list.sort(key=lambda x: dtype(x).itemsize) + sctypes[sctype_key] = sctype_list diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_type_aliases.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_type_aliases.pyi new file mode 100644 index 0000000000000000000000000000000000000000..f92958a67d55a04e9bb66c4cf5aeefdf7aa2650d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_type_aliases.pyi @@ -0,0 +1,96 @@ +from collections.abc import Collection +from typing import Any, Final, Literal as L, TypeAlias, TypedDict, type_check_only + +import numpy as np + +__all__ = ( + "_abstract_type_names", + "_aliases", + "_extra_aliases", + "allTypes", + "c_names_dict", + "sctypeDict", + "sctypes", +) + +sctypeDict: Final[dict[str, type[np.generic]]] +allTypes: Final[dict[str, type[np.generic]]] + +@type_check_only +class _CNamesDict(TypedDict): + BOOL: np.dtype[np.bool] + HALF: np.dtype[np.half] + FLOAT: np.dtype[np.single] + DOUBLE: np.dtype[np.double] + LONGDOUBLE: np.dtype[np.longdouble] + CFLOAT: np.dtype[np.csingle] + CDOUBLE: np.dtype[np.cdouble] + CLONGDOUBLE: np.dtype[np.clongdouble] + STRING: np.dtype[np.bytes_] + UNICODE: np.dtype[np.str_] + VOID: np.dtype[np.void] + OBJECT: np.dtype[np.object_] + DATETIME: np.dtype[np.datetime64] + TIMEDELTA: np.dtype[np.timedelta64] + BYTE: np.dtype[np.byte] + UBYTE: np.dtype[np.ubyte] + SHORT: np.dtype[np.short] + USHORT: np.dtype[np.ushort] + INT: np.dtype[np.intc] + UINT: np.dtype[np.uintc] + LONG: np.dtype[np.long] + ULONG: np.dtype[np.ulong] + LONGLONG: np.dtype[np.longlong] + ULONGLONG: np.dtype[np.ulonglong] + +c_names_dict: Final[_CNamesDict] + +_AbstractTypeName: TypeAlias = L[ + "generic", + "flexible", + "character", + "number", + "integer", + "inexact", + "unsignedinteger", + "signedinteger", + "floating", + "complexfloating", +] +_abstract_type_names: Final[set[_AbstractTypeName]] + +@type_check_only +class _AliasesType(TypedDict): + double: L["float64"] + cdouble: L["complex128"] + single: L["float32"] + csingle: L["complex64"] + half: L["float16"] + bool_: L["bool"] + int_: L["intp"] + uint: L["intp"] + +_aliases: Final[_AliasesType] + +@type_check_only +class _ExtraAliasesType(TypedDict): + float: L["float64"] + complex: L["complex128"] + object: L["object_"] + bytes: L["bytes_"] + a: L["bytes_"] + int: L["int_"] + str: L["str_"] + unicode: L["str_"] + +_extra_aliases: Final[_ExtraAliasesType] + +@type_check_only +class _SCTypes(TypedDict): + int: Collection[type[np.signedinteger[Any]]] + uint: Collection[type[np.unsignedinteger[Any]]] + float: Collection[type[np.floating[Any]]] + complex: Collection[type[np.complexfloating[Any, Any]]] + others: Collection[type[np.flexible | np.bool | np.object_]] + +sctypes: Final[_SCTypes] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_ufunc_config.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_ufunc_config.py new file mode 100644 index 0000000000000000000000000000000000000000..4563f66cb52f521b762bf6a2134c319328c5ef92 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_ufunc_config.py @@ -0,0 +1,483 @@ +""" +Functions for changing global ufunc configuration + +This provides helpers which wrap `_get_extobj_dict` and `_make_extobj`, and +`_extobj_contextvar` from umath. +""" +import contextlib +import contextvars +import functools + +from .._utils import set_module +from .umath import _make_extobj, _get_extobj_dict, _extobj_contextvar + +__all__ = [ + "seterr", "geterr", "setbufsize", "getbufsize", "seterrcall", "geterrcall", + "errstate" +] + + +@set_module('numpy') +def seterr(all=None, divide=None, over=None, under=None, invalid=None): + """ + Set how floating-point errors are handled. + + Note that operations on integer scalar types (such as `int16`) are + handled like floating point, and are affected by these settings. + + Parameters + ---------- + all : {'ignore', 'warn', 'raise', 'call', 'print', 'log'}, optional + Set treatment for all types of floating-point errors at once: + + - ignore: Take no action when the exception occurs. + - warn: Print a :exc:`RuntimeWarning` (via the Python `warnings` + module). + - raise: Raise a :exc:`FloatingPointError`. + - call: Call a function specified using the `seterrcall` function. + - print: Print a warning directly to ``stdout``. + - log: Record error in a Log object specified by `seterrcall`. + + The default is not to change the current behavior. + divide : {'ignore', 'warn', 'raise', 'call', 'print', 'log'}, optional + Treatment for division by zero. + over : {'ignore', 'warn', 'raise', 'call', 'print', 'log'}, optional + Treatment for floating-point overflow. + under : {'ignore', 'warn', 'raise', 'call', 'print', 'log'}, optional + Treatment for floating-point underflow. + invalid : {'ignore', 'warn', 'raise', 'call', 'print', 'log'}, optional + Treatment for invalid floating-point operation. + + Returns + ------- + old_settings : dict + Dictionary containing the old settings. + + See also + -------- + seterrcall : Set a callback function for the 'call' mode. + geterr, geterrcall, errstate + + Notes + ----- + The floating-point exceptions are defined in the IEEE 754 standard [1]_: + + - Division by zero: infinite result obtained from finite numbers. + - Overflow: result too large to be expressed. + - Underflow: result so close to zero that some precision + was lost. + - Invalid operation: result is not an expressible number, typically + indicates that a NaN was produced. + + .. [1] https://en.wikipedia.org/wiki/IEEE_754 + + Examples + -------- + >>> import numpy as np + >>> orig_settings = np.seterr(all='ignore') # seterr to known value + >>> np.int16(32000) * np.int16(3) + np.int16(30464) + >>> np.seterr(over='raise') + {'divide': 'ignore', 'over': 'ignore', 'under': 'ignore', 'invalid': 'ignore'} + >>> old_settings = np.seterr(all='warn', over='raise') + >>> np.int16(32000) * np.int16(3) + Traceback (most recent call last): + File "", line 1, in + FloatingPointError: overflow encountered in scalar multiply + + >>> old_settings = np.seterr(all='print') + >>> np.geterr() + {'divide': 'print', 'over': 'print', 'under': 'print', 'invalid': 'print'} + >>> np.int16(32000) * np.int16(3) + np.int16(30464) + >>> np.seterr(**orig_settings) # restore original + {'divide': 'print', 'over': 'print', 'under': 'print', 'invalid': 'print'} + + """ + + old = _get_extobj_dict() + # The errstate doesn't include call and bufsize, so pop them: + old.pop("call", None) + old.pop("bufsize", None) + + extobj = _make_extobj( + all=all, divide=divide, over=over, under=under, invalid=invalid) + _extobj_contextvar.set(extobj) + return old + + +@set_module('numpy') +def geterr(): + """ + Get the current way of handling floating-point errors. + + Returns + ------- + res : dict + A dictionary with keys "divide", "over", "under", and "invalid", + whose values are from the strings "ignore", "print", "log", "warn", + "raise", and "call". The keys represent possible floating-point + exceptions, and the values define how these exceptions are handled. + + See Also + -------- + geterrcall, seterr, seterrcall + + Notes + ----- + For complete documentation of the types of floating-point exceptions and + treatment options, see `seterr`. + + Examples + -------- + >>> import numpy as np + >>> np.geterr() + {'divide': 'warn', 'over': 'warn', 'under': 'ignore', 'invalid': 'warn'} + >>> np.arange(3.) / np.arange(3.) # doctest: +SKIP + array([nan, 1., 1.]) + RuntimeWarning: invalid value encountered in divide + + >>> oldsettings = np.seterr(all='warn', invalid='raise') + >>> np.geterr() + {'divide': 'warn', 'over': 'warn', 'under': 'warn', 'invalid': 'raise'} + >>> np.arange(3.) / np.arange(3.) + Traceback (most recent call last): + ... + FloatingPointError: invalid value encountered in divide + >>> oldsettings = np.seterr(**oldsettings) # restore original + + """ + res = _get_extobj_dict() + # The "geterr" doesn't include call and bufsize,: + res.pop("call", None) + res.pop("bufsize", None) + return res + + +@set_module('numpy') +def setbufsize(size): + """ + Set the size of the buffer used in ufuncs. + + .. versionchanged:: 2.0 + The scope of setting the buffer is tied to the `numpy.errstate` + context. Exiting a ``with errstate():`` will also restore the bufsize. + + Parameters + ---------- + size : int + Size of buffer. + + Returns + ------- + bufsize : int + Previous size of ufunc buffer in bytes. + + Examples + -------- + When exiting a `numpy.errstate` context manager the bufsize is restored: + + >>> import numpy as np + >>> with np.errstate(): + ... np.setbufsize(4096) + ... print(np.getbufsize()) + ... + 8192 + 4096 + >>> np.getbufsize() + 8192 + + """ + old = _get_extobj_dict()["bufsize"] + extobj = _make_extobj(bufsize=size) + _extobj_contextvar.set(extobj) + return old + + +@set_module('numpy') +def getbufsize(): + """ + Return the size of the buffer used in ufuncs. + + Returns + ------- + getbufsize : int + Size of ufunc buffer in bytes. + + Examples + -------- + >>> import numpy as np + >>> np.getbufsize() + 8192 + + """ + return _get_extobj_dict()["bufsize"] + + +@set_module('numpy') +def seterrcall(func): + """ + Set the floating-point error callback function or log object. + + There are two ways to capture floating-point error messages. The first + is to set the error-handler to 'call', using `seterr`. Then, set + the function to call using this function. + + The second is to set the error-handler to 'log', using `seterr`. + Floating-point errors then trigger a call to the 'write' method of + the provided object. + + Parameters + ---------- + func : callable f(err, flag) or object with write method + Function to call upon floating-point errors ('call'-mode) or + object whose 'write' method is used to log such message ('log'-mode). + + The call function takes two arguments. The first is a string describing + the type of error (such as "divide by zero", "overflow", "underflow", + or "invalid value"), and the second is the status flag. The flag is a + byte, whose four least-significant bits indicate the type of error, one + of "divide", "over", "under", "invalid":: + + [0 0 0 0 divide over under invalid] + + In other words, ``flags = divide + 2*over + 4*under + 8*invalid``. + + If an object is provided, its write method should take one argument, + a string. + + Returns + ------- + h : callable, log instance or None + The old error handler. + + See Also + -------- + seterr, geterr, geterrcall + + Examples + -------- + Callback upon error: + + >>> def err_handler(type, flag): + ... print("Floating point error (%s), with flag %s" % (type, flag)) + ... + + >>> import numpy as np + + >>> orig_handler = np.seterrcall(err_handler) + >>> orig_err = np.seterr(all='call') + + >>> np.array([1, 2, 3]) / 0.0 + Floating point error (divide by zero), with flag 1 + array([inf, inf, inf]) + + >>> np.seterrcall(orig_handler) + + >>> np.seterr(**orig_err) + {'divide': 'call', 'over': 'call', 'under': 'call', 'invalid': 'call'} + + Log error message: + + >>> class Log: + ... def write(self, msg): + ... print("LOG: %s" % msg) + ... + + >>> log = Log() + >>> saved_handler = np.seterrcall(log) + >>> save_err = np.seterr(all='log') + + >>> np.array([1, 2, 3]) / 0.0 + LOG: Warning: divide by zero encountered in divide + array([inf, inf, inf]) + + >>> np.seterrcall(orig_handler) + + >>> np.seterr(**orig_err) + {'divide': 'log', 'over': 'log', 'under': 'log', 'invalid': 'log'} + + """ + old = _get_extobj_dict()["call"] + extobj = _make_extobj(call=func) + _extobj_contextvar.set(extobj) + return old + + +@set_module('numpy') +def geterrcall(): + """ + Return the current callback function used on floating-point errors. + + When the error handling for a floating-point error (one of "divide", + "over", "under", or "invalid") is set to 'call' or 'log', the function + that is called or the log instance that is written to is returned by + `geterrcall`. This function or log instance has been set with + `seterrcall`. + + Returns + ------- + errobj : callable, log instance or None + The current error handler. If no handler was set through `seterrcall`, + ``None`` is returned. + + See Also + -------- + seterrcall, seterr, geterr + + Notes + ----- + For complete documentation of the types of floating-point exceptions and + treatment options, see `seterr`. + + Examples + -------- + >>> import numpy as np + >>> np.geterrcall() # we did not yet set a handler, returns None + + >>> orig_settings = np.seterr(all='call') + >>> def err_handler(type, flag): + ... print("Floating point error (%s), with flag %s" % (type, flag)) + >>> old_handler = np.seterrcall(err_handler) + >>> np.array([1, 2, 3]) / 0.0 + Floating point error (divide by zero), with flag 1 + array([inf, inf, inf]) + + >>> cur_handler = np.geterrcall() + >>> cur_handler is err_handler + True + >>> old_settings = np.seterr(**orig_settings) # restore original + >>> old_handler = np.seterrcall(None) # restore original + + """ + return _get_extobj_dict()["call"] + + +class _unspecified: + pass + + +_Unspecified = _unspecified() + + +@set_module('numpy') +class errstate: + """ + errstate(**kwargs) + + Context manager for floating-point error handling. + + Using an instance of `errstate` as a context manager allows statements in + that context to execute with a known error handling behavior. Upon entering + the context the error handling is set with `seterr` and `seterrcall`, and + upon exiting it is reset to what it was before. + + .. versionchanged:: 1.17.0 + `errstate` is also usable as a function decorator, saving + a level of indentation if an entire function is wrapped. + + .. versionchanged:: 2.0 + `errstate` is now fully thread and asyncio safe, but may not be + entered more than once. + It is not safe to decorate async functions using ``errstate``. + + Parameters + ---------- + kwargs : {divide, over, under, invalid} + Keyword arguments. The valid keywords are the possible floating-point + exceptions. Each keyword should have a string value that defines the + treatment for the particular error. Possible values are + {'ignore', 'warn', 'raise', 'call', 'print', 'log'}. + + See Also + -------- + seterr, geterr, seterrcall, geterrcall + + Notes + ----- + For complete documentation of the types of floating-point exceptions and + treatment options, see `seterr`. + + Examples + -------- + >>> import numpy as np + >>> olderr = np.seterr(all='ignore') # Set error handling to known state. + + >>> np.arange(3) / 0. + array([nan, inf, inf]) + >>> with np.errstate(divide='ignore'): + ... np.arange(3) / 0. + array([nan, inf, inf]) + + >>> np.sqrt(-1) + np.float64(nan) + >>> with np.errstate(invalid='raise'): + ... np.sqrt(-1) + Traceback (most recent call last): + File "", line 2, in + FloatingPointError: invalid value encountered in sqrt + + Outside the context the error handling behavior has not changed: + + >>> np.geterr() + {'divide': 'ignore', 'over': 'ignore', 'under': 'ignore', 'invalid': 'ignore'} + >>> olderr = np.seterr(**olderr) # restore original state + + """ + __slots__ = ( + "_call", "_all", "_divide", "_over", "_under", "_invalid", "_token") + + def __init__(self, *, call=_Unspecified, + all=None, divide=None, over=None, under=None, invalid=None): + self._token = None + self._call = call + self._all = all + self._divide = divide + self._over = over + self._under = under + self._invalid = invalid + + def __enter__(self): + # Note that __call__ duplicates much of this logic + if self._token is not None: + raise TypeError("Cannot enter `np.errstate` twice.") + if self._call is _Unspecified: + extobj = _make_extobj( + all=self._all, divide=self._divide, over=self._over, + under=self._under, invalid=self._invalid) + else: + extobj = _make_extobj( + call=self._call, + all=self._all, divide=self._divide, over=self._over, + under=self._under, invalid=self._invalid) + + self._token = _extobj_contextvar.set(extobj) + + def __exit__(self, *exc_info): + _extobj_contextvar.reset(self._token) + + def __call__(self, func): + # We need to customize `__call__` compared to `ContextDecorator` + # because we must store the token per-thread so cannot store it on + # the instance (we could create a new instance for this). + # This duplicates the code from `__enter__`. + @functools.wraps(func) + def inner(*args, **kwargs): + if self._call is _Unspecified: + extobj = _make_extobj( + all=self._all, divide=self._divide, over=self._over, + under=self._under, invalid=self._invalid) + else: + extobj = _make_extobj( + call=self._call, + all=self._all, divide=self._divide, over=self._over, + under=self._under, invalid=self._invalid) + + _token = _extobj_contextvar.set(extobj) + try: + # Call the original, decorated, function: + return func(*args, **kwargs) + finally: + _extobj_contextvar.reset(_token) + + return inner diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_ufunc_config.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_ufunc_config.pyi new file mode 100644 index 0000000000000000000000000000000000000000..78c9660323d1257e913bc62f9ade1ad21cef87dd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_ufunc_config.pyi @@ -0,0 +1,39 @@ +from _typeshed import SupportsWrite +from collections.abc import Callable +from typing import Any, Literal, TypeAlias, TypedDict, type_check_only + +from numpy import errstate as errstate + +_ErrKind: TypeAlias = Literal["ignore", "warn", "raise", "call", "print", "log"] +_ErrFunc: TypeAlias = Callable[[str, int], Any] +_ErrCall: TypeAlias = _ErrFunc | SupportsWrite[str] + +@type_check_only +class _ErrDict(TypedDict): + divide: _ErrKind + over: _ErrKind + under: _ErrKind + invalid: _ErrKind + +@type_check_only +class _ErrDictOptional(TypedDict, total=False): + all: None | _ErrKind + divide: None | _ErrKind + over: None | _ErrKind + under: None | _ErrKind + invalid: None | _ErrKind + +def seterr( + all: None | _ErrKind = ..., + divide: None | _ErrKind = ..., + over: None | _ErrKind = ..., + under: None | _ErrKind = ..., + invalid: None | _ErrKind = ..., +) -> _ErrDict: ... +def geterr() -> _ErrDict: ... +def setbufsize(size: int) -> int: ... +def getbufsize() -> int: ... +def seterrcall(func: _ErrCall | None) -> _ErrCall | None: ... +def geterrcall() -> _ErrCall | None: ... + +# See `numpy/__init__.pyi` for the `errstate` class and `no_nep5_warnings` diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_umath_tests.cpython-310-x86_64-linux-gnu.so b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_umath_tests.cpython-310-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..70a9651056856e4279991ed37d12cca2d74234af Binary files /dev/null and b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/_umath_tests.cpython-310-x86_64-linux-gnu.so differ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/arrayprint.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/arrayprint.py new file mode 100644 index 0000000000000000000000000000000000000000..d95093a6a4e11983bac70eba7f572ddc955a6aed --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/arrayprint.py @@ -0,0 +1,1756 @@ +"""Array printing function + +$Id: arrayprint.py,v 1.9 2005/09/13 13:58:44 teoliphant Exp $ + +""" +__all__ = ["array2string", "array_str", "array_repr", + "set_printoptions", "get_printoptions", "printoptions", + "format_float_positional", "format_float_scientific"] +__docformat__ = 'restructuredtext' + +# +# Written by Konrad Hinsen +# last revision: 1996-3-13 +# modified by Jim Hugunin 1997-3-3 for repr's and str's (and other details) +# and by Perry Greenfield 2000-4-1 for numarray +# and by Travis Oliphant 2005-8-22 for numpy + + +# Note: Both scalartypes.c.src and arrayprint.py implement strs for numpy +# scalars but for different purposes. scalartypes.c.src has str/reprs for when +# the scalar is printed on its own, while arrayprint.py has strs for when +# scalars are printed inside an ndarray. Only the latter strs are currently +# user-customizable. + +import functools +import numbers +import sys +try: + from _thread import get_ident +except ImportError: + from _dummy_thread import get_ident + +import numpy as np +from . import numerictypes as _nt +from .umath import absolute, isinf, isfinite, isnat +from . import multiarray +from .multiarray import (array, dragon4_positional, dragon4_scientific, + datetime_as_string, datetime_data, ndarray) +from .fromnumeric import any +from .numeric import concatenate, asarray, errstate +from .numerictypes import (longlong, intc, int_, float64, complex128, + flexible) +from .overrides import array_function_dispatch, set_module +from .printoptions import format_options +import operator +import warnings +import contextlib + + +def _make_options_dict(precision=None, threshold=None, edgeitems=None, + linewidth=None, suppress=None, nanstr=None, infstr=None, + sign=None, formatter=None, floatmode=None, legacy=None, + override_repr=None): + """ + Make a dictionary out of the non-None arguments, plus conversion of + *legacy* and sanity checks. + """ + + options = {k: v for k, v in list(locals().items()) if v is not None} + + if suppress is not None: + options['suppress'] = bool(suppress) + + modes = ['fixed', 'unique', 'maxprec', 'maxprec_equal'] + if floatmode not in modes + [None]: + raise ValueError("floatmode option must be one of " + + ", ".join('"{}"'.format(m) for m in modes)) + + if sign not in [None, '-', '+', ' ']: + raise ValueError("sign option must be one of ' ', '+', or '-'") + + if legacy is False: + options['legacy'] = sys.maxsize + elif legacy == False: # noqa: E712 + warnings.warn( + f"Passing `legacy={legacy!r}` is deprecated.", + FutureWarning, stacklevel=3 + ) + options['legacy'] = sys.maxsize + elif legacy == '1.13': + options['legacy'] = 113 + elif legacy == '1.21': + options['legacy'] = 121 + elif legacy == '1.25': + options['legacy'] = 125 + elif legacy == '2.1': + options['legacy'] = 201 + elif legacy is None: + pass # OK, do nothing. + else: + warnings.warn( + "legacy printing option can currently only be '1.13', '1.21', " + "'1.25', '2.1, or `False`", stacklevel=3) + + if threshold is not None: + # forbid the bad threshold arg suggested by stack overflow, gh-12351 + if not isinstance(threshold, numbers.Number): + raise TypeError("threshold must be numeric") + if np.isnan(threshold): + raise ValueError("threshold must be non-NAN, try " + "sys.maxsize for untruncated representation") + + if precision is not None: + # forbid the bad precision arg as suggested by issue #18254 + try: + options['precision'] = operator.index(precision) + except TypeError as e: + raise TypeError('precision must be an integer') from e + + return options + + +@set_module('numpy') +def set_printoptions(precision=None, threshold=None, edgeitems=None, + linewidth=None, suppress=None, nanstr=None, + infstr=None, formatter=None, sign=None, floatmode=None, + *, legacy=None, override_repr=None): + """ + Set printing options. + + These options determine the way floating point numbers, arrays and + other NumPy objects are displayed. + + Parameters + ---------- + precision : int or None, optional + Number of digits of precision for floating point output (default 8). + May be None if `floatmode` is not `fixed`, to print as many digits as + necessary to uniquely specify the value. + threshold : int, optional + Total number of array elements which trigger summarization + rather than full repr (default 1000). + To always use the full repr without summarization, pass `sys.maxsize`. + edgeitems : int, optional + Number of array items in summary at beginning and end of + each dimension (default 3). + linewidth : int, optional + The number of characters per line for the purpose of inserting + line breaks (default 75). + suppress : bool, optional + If True, always print floating point numbers using fixed point + notation, in which case numbers equal to zero in the current precision + will print as zero. If False, then scientific notation is used when + absolute value of the smallest number is < 1e-4 or the ratio of the + maximum absolute value to the minimum is > 1e3. The default is False. + nanstr : str, optional + String representation of floating point not-a-number (default nan). + infstr : str, optional + String representation of floating point infinity (default inf). + sign : string, either '-', '+', or ' ', optional + Controls printing of the sign of floating-point types. If '+', always + print the sign of positive values. If ' ', always prints a space + (whitespace character) in the sign position of positive values. If + '-', omit the sign character of positive values. (default '-') + + .. versionchanged:: 2.0 + The sign parameter can now be an integer type, previously + types were floating-point types. + + formatter : dict of callables, optional + If not None, the keys should indicate the type(s) that the respective + formatting function applies to. Callables should return a string. + Types that are not specified (by their corresponding keys) are handled + by the default formatters. Individual types for which a formatter + can be set are: + + - 'bool' + - 'int' + - 'timedelta' : a `numpy.timedelta64` + - 'datetime' : a `numpy.datetime64` + - 'float' + - 'longfloat' : 128-bit floats + - 'complexfloat' + - 'longcomplexfloat' : composed of two 128-bit floats + - 'numpystr' : types `numpy.bytes_` and `numpy.str_` + - 'object' : `np.object_` arrays + + Other keys that can be used to set a group of types at once are: + + - 'all' : sets all types + - 'int_kind' : sets 'int' + - 'float_kind' : sets 'float' and 'longfloat' + - 'complex_kind' : sets 'complexfloat' and 'longcomplexfloat' + - 'str_kind' : sets 'numpystr' + floatmode : str, optional + Controls the interpretation of the `precision` option for + floating-point types. Can take the following values + (default maxprec_equal): + + * 'fixed': Always print exactly `precision` fractional digits, + even if this would print more or fewer digits than + necessary to specify the value uniquely. + * 'unique': Print the minimum number of fractional digits necessary + to represent each value uniquely. Different elements may + have a different number of digits. The value of the + `precision` option is ignored. + * 'maxprec': Print at most `precision` fractional digits, but if + an element can be uniquely represented with fewer digits + only print it with that many. + * 'maxprec_equal': Print at most `precision` fractional digits, + but if every element in the array can be uniquely + represented with an equal number of fewer digits, use that + many digits for all elements. + legacy : string or `False`, optional + If set to the string ``'1.13'`` enables 1.13 legacy printing mode. This + approximates numpy 1.13 print output by including a space in the sign + position of floats and different behavior for 0d arrays. This also + enables 1.21 legacy printing mode (described below). + + If set to the string ``'1.21'`` enables 1.21 legacy printing mode. This + approximates numpy 1.21 print output of complex structured dtypes + by not inserting spaces after commas that separate fields and after + colons. + + If set to ``'1.25'`` approximates printing of 1.25 which mainly means + that numeric scalars are printed without their type information, e.g. + as ``3.0`` rather than ``np.float64(3.0)``. + + If set to ``'2.1'``, shape information is not given when arrays are + summarized (i.e., multiple elements replaced with ``...``). + + If set to `False`, disables legacy mode. + + Unrecognized strings will be ignored with a warning for forward + compatibility. + + .. versionchanged:: 1.22.0 + .. versionchanged:: 2.2 + + override_repr: callable, optional + If set a passed function will be used for generating arrays' repr. + Other options will be ignored. + + See Also + -------- + get_printoptions, printoptions, array2string + + Notes + ----- + `formatter` is always reset with a call to `set_printoptions`. + + Use `printoptions` as a context manager to set the values temporarily. + + Examples + -------- + Floating point precision can be set: + + >>> import numpy as np + >>> np.set_printoptions(precision=4) + >>> np.array([1.123456789]) + [1.1235] + + Long arrays can be summarised: + + >>> np.set_printoptions(threshold=5) + >>> np.arange(10) + array([0, 1, 2, ..., 7, 8, 9], shape=(10,)) + + Small results can be suppressed: + + >>> eps = np.finfo(float).eps + >>> x = np.arange(4.) + >>> x**2 - (x + eps)**2 + array([-4.9304e-32, -4.4409e-16, 0.0000e+00, 0.0000e+00]) + >>> np.set_printoptions(suppress=True) + >>> x**2 - (x + eps)**2 + array([-0., -0., 0., 0.]) + + A custom formatter can be used to display array elements as desired: + + >>> np.set_printoptions(formatter={'all':lambda x: 'int: '+str(-x)}) + >>> x = np.arange(3) + >>> x + array([int: 0, int: -1, int: -2]) + >>> np.set_printoptions() # formatter gets reset + >>> x + array([0, 1, 2]) + + To put back the default options, you can use: + + >>> np.set_printoptions(edgeitems=3, infstr='inf', + ... linewidth=75, nanstr='nan', precision=8, + ... suppress=False, threshold=1000, formatter=None) + + Also to temporarily override options, use `printoptions` + as a context manager: + + >>> with np.printoptions(precision=2, suppress=True, threshold=5): + ... np.linspace(0, 10, 10) + array([ 0. , 1.11, 2.22, ..., 7.78, 8.89, 10. ], shape=(10,)) + + """ + _set_printoptions(precision, threshold, edgeitems, linewidth, suppress, + nanstr, infstr, formatter, sign, floatmode, + legacy=legacy, override_repr=override_repr) + + +def _set_printoptions(precision=None, threshold=None, edgeitems=None, + linewidth=None, suppress=None, nanstr=None, + infstr=None, formatter=None, sign=None, floatmode=None, + *, legacy=None, override_repr=None): + new_opt = _make_options_dict(precision, threshold, edgeitems, linewidth, + suppress, nanstr, infstr, sign, formatter, + floatmode, legacy) + # formatter and override_repr are always reset + new_opt['formatter'] = formatter + new_opt['override_repr'] = override_repr + + updated_opt = format_options.get() | new_opt + updated_opt.update(new_opt) + + if updated_opt['legacy'] == 113: + updated_opt['sign'] = '-' + + return format_options.set(updated_opt) + + +@set_module('numpy') +def get_printoptions(): + """ + Return the current print options. + + Returns + ------- + print_opts : dict + Dictionary of current print options with keys + + - precision : int + - threshold : int + - edgeitems : int + - linewidth : int + - suppress : bool + - nanstr : str + - infstr : str + - sign : str + - formatter : dict of callables + - floatmode : str + - legacy : str or False + + For a full description of these options, see `set_printoptions`. + + See Also + -------- + set_printoptions, printoptions + + Examples + -------- + >>> import numpy as np + + >>> np.get_printoptions() + {'edgeitems': 3, 'threshold': 1000, ..., 'override_repr': None} + + >>> np.get_printoptions()['linewidth'] + 75 + >>> np.set_printoptions(linewidth=100) + >>> np.get_printoptions()['linewidth'] + 100 + + """ + opts = format_options.get().copy() + opts['legacy'] = { + 113: '1.13', 121: '1.21', 125: '1.25', sys.maxsize: False, + }[opts['legacy']] + return opts + + +def _get_legacy_print_mode(): + """Return the legacy print mode as an int.""" + return format_options.get()['legacy'] + + +@set_module('numpy') +@contextlib.contextmanager +def printoptions(*args, **kwargs): + """Context manager for setting print options. + + Set print options for the scope of the `with` block, and restore the old + options at the end. See `set_printoptions` for the full description of + available options. + + Examples + -------- + >>> import numpy as np + + >>> from numpy.testing import assert_equal + >>> with np.printoptions(precision=2): + ... np.array([2.0]) / 3 + array([0.67]) + + The `as`-clause of the `with`-statement gives the current print options: + + >>> with np.printoptions(precision=2) as opts: + ... assert_equal(opts, np.get_printoptions()) + + See Also + -------- + set_printoptions, get_printoptions + + """ + token = _set_printoptions(*args, **kwargs) + + try: + yield get_printoptions() + finally: + format_options.reset(token) + + +def _leading_trailing(a, edgeitems, index=()): + """ + Keep only the N-D corners (leading and trailing edges) of an array. + + Should be passed a base-class ndarray, since it makes no guarantees about + preserving subclasses. + """ + axis = len(index) + if axis == a.ndim: + return a[index] + + if a.shape[axis] > 2*edgeitems: + return concatenate(( + _leading_trailing(a, edgeitems, index + np.index_exp[:edgeitems]), + _leading_trailing(a, edgeitems, index + np.index_exp[-edgeitems:]) + ), axis=axis) + else: + return _leading_trailing(a, edgeitems, index + np.index_exp[:]) + + +def _object_format(o): + """ Object arrays containing lists should be printed unambiguously """ + if type(o) is list: + fmt = 'list({!r})' + else: + fmt = '{!r}' + return fmt.format(o) + +def repr_format(x): + if isinstance(x, (np.str_, np.bytes_)): + return repr(x.item()) + return repr(x) + +def str_format(x): + if isinstance(x, (np.str_, np.bytes_)): + return str(x.item()) + return str(x) + +def _get_formatdict(data, *, precision, floatmode, suppress, sign, legacy, + formatter, **kwargs): + # note: extra arguments in kwargs are ignored + + # wrapped in lambdas to avoid taking a code path + # with the wrong type of data + formatdict = { + 'bool': lambda: BoolFormat(data), + 'int': lambda: IntegerFormat(data, sign), + 'float': lambda: FloatingFormat( + data, precision, floatmode, suppress, sign, legacy=legacy), + 'longfloat': lambda: FloatingFormat( + data, precision, floatmode, suppress, sign, legacy=legacy), + 'complexfloat': lambda: ComplexFloatingFormat( + data, precision, floatmode, suppress, sign, legacy=legacy), + 'longcomplexfloat': lambda: ComplexFloatingFormat( + data, precision, floatmode, suppress, sign, legacy=legacy), + 'datetime': lambda: DatetimeFormat(data, legacy=legacy), + 'timedelta': lambda: TimedeltaFormat(data), + 'object': lambda: _object_format, + 'void': lambda: str_format, + 'numpystr': lambda: repr_format} + + # we need to wrap values in `formatter` in a lambda, so that the interface + # is the same as the above values. + def indirect(x): + return lambda: x + + if formatter is not None: + fkeys = [k for k in formatter.keys() if formatter[k] is not None] + if 'all' in fkeys: + for key in formatdict.keys(): + formatdict[key] = indirect(formatter['all']) + if 'int_kind' in fkeys: + for key in ['int']: + formatdict[key] = indirect(formatter['int_kind']) + if 'float_kind' in fkeys: + for key in ['float', 'longfloat']: + formatdict[key] = indirect(formatter['float_kind']) + if 'complex_kind' in fkeys: + for key in ['complexfloat', 'longcomplexfloat']: + formatdict[key] = indirect(formatter['complex_kind']) + if 'str_kind' in fkeys: + formatdict['numpystr'] = indirect(formatter['str_kind']) + for key in formatdict.keys(): + if key in fkeys: + formatdict[key] = indirect(formatter[key]) + + return formatdict + +def _get_format_function(data, **options): + """ + find the right formatting function for the dtype_ + """ + dtype_ = data.dtype + dtypeobj = dtype_.type + formatdict = _get_formatdict(data, **options) + if dtypeobj is None: + return formatdict["numpystr"]() + elif issubclass(dtypeobj, _nt.bool): + return formatdict['bool']() + elif issubclass(dtypeobj, _nt.integer): + if issubclass(dtypeobj, _nt.timedelta64): + return formatdict['timedelta']() + else: + return formatdict['int']() + elif issubclass(dtypeobj, _nt.floating): + if issubclass(dtypeobj, _nt.longdouble): + return formatdict['longfloat']() + else: + return formatdict['float']() + elif issubclass(dtypeobj, _nt.complexfloating): + if issubclass(dtypeobj, _nt.clongdouble): + return formatdict['longcomplexfloat']() + else: + return formatdict['complexfloat']() + elif issubclass(dtypeobj, (_nt.str_, _nt.bytes_)): + return formatdict['numpystr']() + elif issubclass(dtypeobj, _nt.datetime64): + return formatdict['datetime']() + elif issubclass(dtypeobj, _nt.object_): + return formatdict['object']() + elif issubclass(dtypeobj, _nt.void): + if dtype_.names is not None: + return StructuredVoidFormat.from_data(data, **options) + else: + return formatdict['void']() + else: + return formatdict['numpystr']() + + +def _recursive_guard(fillvalue='...'): + """ + Like the python 3.2 reprlib.recursive_repr, but forwards *args and **kwargs + + Decorates a function such that if it calls itself with the same first + argument, it returns `fillvalue` instead of recursing. + + Largely copied from reprlib.recursive_repr + """ + + def decorating_function(f): + repr_running = set() + + @functools.wraps(f) + def wrapper(self, *args, **kwargs): + key = id(self), get_ident() + if key in repr_running: + return fillvalue + repr_running.add(key) + try: + return f(self, *args, **kwargs) + finally: + repr_running.discard(key) + + return wrapper + + return decorating_function + + +# gracefully handle recursive calls, when object arrays contain themselves +@_recursive_guard() +def _array2string(a, options, separator=' ', prefix=""): + # The formatter __init__s in _get_format_function cannot deal with + # subclasses yet, and we also need to avoid recursion issues in + # _formatArray with subclasses which return 0d arrays in place of scalars + data = asarray(a) + if a.shape == (): + a = data + + if a.size > options['threshold']: + summary_insert = "..." + data = _leading_trailing(data, options['edgeitems']) + else: + summary_insert = "" + + # find the right formatting function for the array + format_function = _get_format_function(data, **options) + + # skip over "[" + next_line_prefix = " " + # skip over array( + next_line_prefix += " "*len(prefix) + + lst = _formatArray(a, format_function, options['linewidth'], + next_line_prefix, separator, options['edgeitems'], + summary_insert, options['legacy']) + return lst + + +def _array2string_dispatcher( + a, max_line_width=None, precision=None, + suppress_small=None, separator=None, prefix=None, + style=None, formatter=None, threshold=None, + edgeitems=None, sign=None, floatmode=None, suffix=None, + *, legacy=None): + return (a,) + + +@array_function_dispatch(_array2string_dispatcher, module='numpy') +def array2string(a, max_line_width=None, precision=None, + suppress_small=None, separator=' ', prefix="", + style=np._NoValue, formatter=None, threshold=None, + edgeitems=None, sign=None, floatmode=None, suffix="", + *, legacy=None): + """ + Return a string representation of an array. + + Parameters + ---------- + a : ndarray + Input array. + max_line_width : int, optional + Inserts newlines if text is longer than `max_line_width`. + Defaults to ``numpy.get_printoptions()['linewidth']``. + precision : int or None, optional + Floating point precision. + Defaults to ``numpy.get_printoptions()['precision']``. + suppress_small : bool, optional + Represent numbers "very close" to zero as zero; default is False. + Very close is defined by precision: if the precision is 8, e.g., + numbers smaller (in absolute value) than 5e-9 are represented as + zero. + Defaults to ``numpy.get_printoptions()['suppress']``. + separator : str, optional + Inserted between elements. + prefix : str, optional + suffix : str, optional + The length of the prefix and suffix strings are used to respectively + align and wrap the output. An array is typically printed as:: + + prefix + array2string(a) + suffix + + The output is left-padded by the length of the prefix string, and + wrapping is forced at the column ``max_line_width - len(suffix)``. + It should be noted that the content of prefix and suffix strings are + not included in the output. + style : _NoValue, optional + Has no effect, do not use. + + .. deprecated:: 1.14.0 + formatter : dict of callables, optional + If not None, the keys should indicate the type(s) that the respective + formatting function applies to. Callables should return a string. + Types that are not specified (by their corresponding keys) are handled + by the default formatters. Individual types for which a formatter + can be set are: + + - 'bool' + - 'int' + - 'timedelta' : a `numpy.timedelta64` + - 'datetime' : a `numpy.datetime64` + - 'float' + - 'longfloat' : 128-bit floats + - 'complexfloat' + - 'longcomplexfloat' : composed of two 128-bit floats + - 'void' : type `numpy.void` + - 'numpystr' : types `numpy.bytes_` and `numpy.str_` + + Other keys that can be used to set a group of types at once are: + + - 'all' : sets all types + - 'int_kind' : sets 'int' + - 'float_kind' : sets 'float' and 'longfloat' + - 'complex_kind' : sets 'complexfloat' and 'longcomplexfloat' + - 'str_kind' : sets 'numpystr' + threshold : int, optional + Total number of array elements which trigger summarization + rather than full repr. + Defaults to ``numpy.get_printoptions()['threshold']``. + edgeitems : int, optional + Number of array items in summary at beginning and end of + each dimension. + Defaults to ``numpy.get_printoptions()['edgeitems']``. + sign : string, either '-', '+', or ' ', optional + Controls printing of the sign of floating-point types. If '+', always + print the sign of positive values. If ' ', always prints a space + (whitespace character) in the sign position of positive values. If + '-', omit the sign character of positive values. + Defaults to ``numpy.get_printoptions()['sign']``. + + .. versionchanged:: 2.0 + The sign parameter can now be an integer type, previously + types were floating-point types. + + floatmode : str, optional + Controls the interpretation of the `precision` option for + floating-point types. + Defaults to ``numpy.get_printoptions()['floatmode']``. + Can take the following values: + + - 'fixed': Always print exactly `precision` fractional digits, + even if this would print more or fewer digits than + necessary to specify the value uniquely. + - 'unique': Print the minimum number of fractional digits necessary + to represent each value uniquely. Different elements may + have a different number of digits. The value of the + `precision` option is ignored. + - 'maxprec': Print at most `precision` fractional digits, but if + an element can be uniquely represented with fewer digits + only print it with that many. + - 'maxprec_equal': Print at most `precision` fractional digits, + but if every element in the array can be uniquely + represented with an equal number of fewer digits, use that + many digits for all elements. + legacy : string or `False`, optional + If set to the string ``'1.13'`` enables 1.13 legacy printing mode. This + approximates numpy 1.13 print output by including a space in the sign + position of floats and different behavior for 0d arrays. If set to + `False`, disables legacy mode. Unrecognized strings will be ignored + with a warning for forward compatibility. + + Returns + ------- + array_str : str + String representation of the array. + + Raises + ------ + TypeError + if a callable in `formatter` does not return a string. + + See Also + -------- + array_str, array_repr, set_printoptions, get_printoptions + + Notes + ----- + If a formatter is specified for a certain type, the `precision` keyword is + ignored for that type. + + This is a very flexible function; `array_repr` and `array_str` are using + `array2string` internally so keywords with the same name should work + identically in all three functions. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1e-16,1,2,3]) + >>> np.array2string(x, precision=2, separator=',', + ... suppress_small=True) + '[0.,1.,2.,3.]' + + >>> x = np.arange(3.) + >>> np.array2string(x, formatter={'float_kind':lambda x: "%.2f" % x}) + '[0.00 1.00 2.00]' + + >>> x = np.arange(3) + >>> np.array2string(x, formatter={'int':lambda x: hex(x)}) + '[0x0 0x1 0x2]' + + """ + + overrides = _make_options_dict(precision, threshold, edgeitems, + max_line_width, suppress_small, None, None, + sign, formatter, floatmode, legacy) + options = format_options.get().copy() + options.update(overrides) + + if options['legacy'] <= 113: + if style is np._NoValue: + style = repr + + if a.shape == () and a.dtype.names is None: + return style(a.item()) + elif style is not np._NoValue: + # Deprecation 11-9-2017 v1.14 + warnings.warn("'style' argument is deprecated and no longer functional" + " except in 1.13 'legacy' mode", + DeprecationWarning, stacklevel=2) + + if options['legacy'] > 113: + options['linewidth'] -= len(suffix) + + # treat as a null array if any of shape elements == 0 + if a.size == 0: + return "[]" + + return _array2string(a, options, separator, prefix) + + +def _extendLine(s, line, word, line_width, next_line_prefix, legacy): + needs_wrap = len(line) + len(word) > line_width + if legacy > 113: + # don't wrap lines if it won't help + if len(line) <= len(next_line_prefix): + needs_wrap = False + + if needs_wrap: + s += line.rstrip() + "\n" + line = next_line_prefix + line += word + return s, line + + +def _extendLine_pretty(s, line, word, line_width, next_line_prefix, legacy): + """ + Extends line with nicely formatted (possibly multi-line) string ``word``. + """ + words = word.splitlines() + if len(words) == 1 or legacy <= 113: + return _extendLine(s, line, word, line_width, next_line_prefix, legacy) + + max_word_length = max(len(word) for word in words) + if (len(line) + max_word_length > line_width and + len(line) > len(next_line_prefix)): + s += line.rstrip() + '\n' + line = next_line_prefix + words[0] + indent = next_line_prefix + else: + indent = len(line)*' ' + line += words[0] + + for word in words[1::]: + s += line.rstrip() + '\n' + line = indent + word + + suffix_length = max_word_length - len(words[-1]) + line += suffix_length*' ' + + return s, line + +def _formatArray(a, format_function, line_width, next_line_prefix, + separator, edge_items, summary_insert, legacy): + """formatArray is designed for two modes of operation: + + 1. Full output + + 2. Summarized output + + """ + def recurser(index, hanging_indent, curr_width): + """ + By using this local function, we don't need to recurse with all the + arguments. Since this function is not created recursively, the cost is + not significant + """ + axis = len(index) + axes_left = a.ndim - axis + + if axes_left == 0: + return format_function(a[index]) + + # when recursing, add a space to align with the [ added, and reduce the + # length of the line by 1 + next_hanging_indent = hanging_indent + ' ' + if legacy <= 113: + next_width = curr_width + else: + next_width = curr_width - len(']') + + a_len = a.shape[axis] + show_summary = summary_insert and 2*edge_items < a_len + if show_summary: + leading_items = edge_items + trailing_items = edge_items + else: + leading_items = 0 + trailing_items = a_len + + # stringify the array with the hanging indent on the first line too + s = '' + + # last axis (rows) - wrap elements if they would not fit on one line + if axes_left == 1: + # the length up until the beginning of the separator / bracket + if legacy <= 113: + elem_width = curr_width - len(separator.rstrip()) + else: + elem_width = curr_width - max( + len(separator.rstrip()), len(']') + ) + + line = hanging_indent + for i in range(leading_items): + word = recurser(index + (i,), next_hanging_indent, next_width) + s, line = _extendLine_pretty( + s, line, word, elem_width, hanging_indent, legacy) + line += separator + + if show_summary: + s, line = _extendLine( + s, line, summary_insert, elem_width, hanging_indent, legacy + ) + if legacy <= 113: + line += ", " + else: + line += separator + + for i in range(trailing_items, 1, -1): + word = recurser(index + (-i,), next_hanging_indent, next_width) + s, line = _extendLine_pretty( + s, line, word, elem_width, hanging_indent, legacy) + line += separator + + if legacy <= 113: + # width of the separator is not considered on 1.13 + elem_width = curr_width + word = recurser(index + (-1,), next_hanging_indent, next_width) + s, line = _extendLine_pretty( + s, line, word, elem_width, hanging_indent, legacy) + + s += line + + # other axes - insert newlines between rows + else: + s = '' + line_sep = separator.rstrip() + '\n'*(axes_left - 1) + + for i in range(leading_items): + nested = recurser( + index + (i,), next_hanging_indent, next_width + ) + s += hanging_indent + nested + line_sep + + if show_summary: + if legacy <= 113: + # trailing space, fixed nbr of newlines, + # and fixed separator + s += hanging_indent + summary_insert + ", \n" + else: + s += hanging_indent + summary_insert + line_sep + + for i in range(trailing_items, 1, -1): + nested = recurser(index + (-i,), next_hanging_indent, + next_width) + s += hanging_indent + nested + line_sep + + nested = recurser(index + (-1,), next_hanging_indent, next_width) + s += hanging_indent + nested + + # remove the hanging indent, and wrap in [] + s = '[' + s[len(hanging_indent):] + ']' + return s + + try: + # invoke the recursive part with an initial index and prefix + return recurser(index=(), + hanging_indent=next_line_prefix, + curr_width=line_width) + finally: + # recursive closures have a cyclic reference to themselves, which + # requires gc to collect (gh-10620). To avoid this problem, for + # performance and PyPy friendliness, we break the cycle: + recurser = None + +def _none_or_positive_arg(x, name): + if x is None: + return -1 + if x < 0: + raise ValueError("{} must be >= 0".format(name)) + return x + +class FloatingFormat: + """ Formatter for subtypes of np.floating """ + def __init__(self, data, precision, floatmode, suppress_small, sign=False, + *, legacy=None): + # for backcompatibility, accept bools + if isinstance(sign, bool): + sign = '+' if sign else '-' + + self._legacy = legacy + if self._legacy <= 113: + # when not 0d, legacy does not support '-' + if data.shape != () and sign == '-': + sign = ' ' + + self.floatmode = floatmode + if floatmode == 'unique': + self.precision = None + else: + self.precision = precision + + self.precision = _none_or_positive_arg(self.precision, 'precision') + + self.suppress_small = suppress_small + self.sign = sign + self.exp_format = False + self.large_exponent = False + self.fillFormat(data) + + def fillFormat(self, data): + # only the finite values are used to compute the number of digits + finite_vals = data[isfinite(data)] + + # choose exponential mode based on the non-zero finite values: + abs_non_zero = absolute(finite_vals[finite_vals != 0]) + if len(abs_non_zero) != 0: + max_val = np.max(abs_non_zero) + min_val = np.min(abs_non_zero) + with errstate(over='ignore'): # division can overflow + if max_val >= 1.e8 or (not self.suppress_small and + (min_val < 0.0001 or max_val/min_val > 1000.)): + self.exp_format = True + + # do a first pass of printing all the numbers, to determine sizes + if len(finite_vals) == 0: + self.pad_left = 0 + self.pad_right = 0 + self.trim = '.' + self.exp_size = -1 + self.unique = True + self.min_digits = None + elif self.exp_format: + trim, unique = '.', True + if self.floatmode == 'fixed' or self._legacy <= 113: + trim, unique = 'k', False + strs = (dragon4_scientific(x, precision=self.precision, + unique=unique, trim=trim, sign=self.sign == '+') + for x in finite_vals) + frac_strs, _, exp_strs = zip(*(s.partition('e') for s in strs)) + int_part, frac_part = zip(*(s.split('.') for s in frac_strs)) + self.exp_size = max(len(s) for s in exp_strs) - 1 + + self.trim = 'k' + self.precision = max(len(s) for s in frac_part) + self.min_digits = self.precision + self.unique = unique + + # for back-compat with np 1.13, use 2 spaces & sign and full prec + if self._legacy <= 113: + self.pad_left = 3 + else: + # this should be only 1 or 2. Can be calculated from sign. + self.pad_left = max(len(s) for s in int_part) + # pad_right is only needed for nan length calculation + self.pad_right = self.exp_size + 2 + self.precision + else: + trim, unique = '.', True + if self.floatmode == 'fixed': + trim, unique = 'k', False + strs = (dragon4_positional(x, precision=self.precision, + fractional=True, + unique=unique, trim=trim, + sign=self.sign == '+') + for x in finite_vals) + int_part, frac_part = zip(*(s.split('.') for s in strs)) + if self._legacy <= 113: + self.pad_left = 1 + max(len(s.lstrip('-+')) for s in int_part) + else: + self.pad_left = max(len(s) for s in int_part) + self.pad_right = max(len(s) for s in frac_part) + self.exp_size = -1 + self.unique = unique + + if self.floatmode in ['fixed', 'maxprec_equal']: + self.precision = self.min_digits = self.pad_right + self.trim = 'k' + else: + self.trim = '.' + self.min_digits = 0 + + if self._legacy > 113: + # account for sign = ' ' by adding one to pad_left + if self.sign == ' ' and not any(np.signbit(finite_vals)): + self.pad_left += 1 + + # if there are non-finite values, may need to increase pad_left + if data.size != finite_vals.size: + neginf = self.sign != '-' or any(data[isinf(data)] < 0) + offset = self.pad_right + 1 # +1 for decimal pt + current_options = format_options.get() + self.pad_left = max( + self.pad_left, len(current_options['nanstr']) - offset, + len(current_options['infstr']) + neginf - offset + ) + + def __call__(self, x): + if not np.isfinite(x): + with errstate(invalid='ignore'): + current_options = format_options.get() + if np.isnan(x): + sign = '+' if self.sign == '+' else '' + ret = sign + current_options['nanstr'] + else: # isinf + sign = '-' if x < 0 else '+' if self.sign == '+' else '' + ret = sign + current_options['infstr'] + return ' '*( + self.pad_left + self.pad_right + 1 - len(ret) + ) + ret + + if self.exp_format: + return dragon4_scientific(x, + precision=self.precision, + min_digits=self.min_digits, + unique=self.unique, + trim=self.trim, + sign=self.sign == '+', + pad_left=self.pad_left, + exp_digits=self.exp_size) + else: + return dragon4_positional(x, + precision=self.precision, + min_digits=self.min_digits, + unique=self.unique, + fractional=True, + trim=self.trim, + sign=self.sign == '+', + pad_left=self.pad_left, + pad_right=self.pad_right) + + +@set_module('numpy') +def format_float_scientific(x, precision=None, unique=True, trim='k', + sign=False, pad_left=None, exp_digits=None, + min_digits=None): + """ + Format a floating-point scalar as a decimal string in scientific notation. + + Provides control over rounding, trimming and padding. Uses and assumes + IEEE unbiased rounding. Uses the "Dragon4" algorithm. + + Parameters + ---------- + x : python float or numpy floating scalar + Value to format. + precision : non-negative integer or None, optional + Maximum number of digits to print. May be None if `unique` is + `True`, but must be an integer if unique is `False`. + unique : boolean, optional + If `True`, use a digit-generation strategy which gives the shortest + representation which uniquely identifies the floating-point number from + other values of the same type, by judicious rounding. If `precision` + is given fewer digits than necessary can be printed. If `min_digits` + is given more can be printed, in which cases the last digit is rounded + with unbiased rounding. + If `False`, digits are generated as if printing an infinite-precision + value and stopping after `precision` digits, rounding the remaining + value with unbiased rounding + trim : one of 'k', '.', '0', '-', optional + Controls post-processing trimming of trailing digits, as follows: + + * 'k' : keep trailing zeros, keep decimal point (no trimming) + * '.' : trim all trailing zeros, leave decimal point + * '0' : trim all but the zero before the decimal point. Insert the + zero if it is missing. + * '-' : trim trailing zeros and any trailing decimal point + sign : boolean, optional + Whether to show the sign for positive values. + pad_left : non-negative integer, optional + Pad the left side of the string with whitespace until at least that + many characters are to the left of the decimal point. + exp_digits : non-negative integer, optional + Pad the exponent with zeros until it contains at least this + many digits. If omitted, the exponent will be at least 2 digits. + min_digits : non-negative integer or None, optional + Minimum number of digits to print. This only has an effect for + `unique=True`. In that case more digits than necessary to uniquely + identify the value may be printed and rounded unbiased. + + .. versionadded:: 1.21.0 + + Returns + ------- + rep : string + The string representation of the floating point value + + See Also + -------- + format_float_positional + + Examples + -------- + >>> import numpy as np + >>> np.format_float_scientific(np.float32(np.pi)) + '3.1415927e+00' + >>> s = np.float32(1.23e24) + >>> np.format_float_scientific(s, unique=False, precision=15) + '1.230000071797338e+24' + >>> np.format_float_scientific(s, exp_digits=4) + '1.23e+0024' + """ + precision = _none_or_positive_arg(precision, 'precision') + pad_left = _none_or_positive_arg(pad_left, 'pad_left') + exp_digits = _none_or_positive_arg(exp_digits, 'exp_digits') + min_digits = _none_or_positive_arg(min_digits, 'min_digits') + if min_digits > 0 and precision > 0 and min_digits > precision: + raise ValueError("min_digits must be less than or equal to precision") + return dragon4_scientific(x, precision=precision, unique=unique, + trim=trim, sign=sign, pad_left=pad_left, + exp_digits=exp_digits, min_digits=min_digits) + + +@set_module('numpy') +def format_float_positional(x, precision=None, unique=True, + fractional=True, trim='k', sign=False, + pad_left=None, pad_right=None, min_digits=None): + """ + Format a floating-point scalar as a decimal string in positional notation. + + Provides control over rounding, trimming and padding. Uses and assumes + IEEE unbiased rounding. Uses the "Dragon4" algorithm. + + Parameters + ---------- + x : python float or numpy floating scalar + Value to format. + precision : non-negative integer or None, optional + Maximum number of digits to print. May be None if `unique` is + `True`, but must be an integer if unique is `False`. + unique : boolean, optional + If `True`, use a digit-generation strategy which gives the shortest + representation which uniquely identifies the floating-point number from + other values of the same type, by judicious rounding. If `precision` + is given fewer digits than necessary can be printed, or if `min_digits` + is given more can be printed, in which cases the last digit is rounded + with unbiased rounding. + If `False`, digits are generated as if printing an infinite-precision + value and stopping after `precision` digits, rounding the remaining + value with unbiased rounding + fractional : boolean, optional + If `True`, the cutoffs of `precision` and `min_digits` refer to the + total number of digits after the decimal point, including leading + zeros. + If `False`, `precision` and `min_digits` refer to the total number of + significant digits, before or after the decimal point, ignoring leading + zeros. + trim : one of 'k', '.', '0', '-', optional + Controls post-processing trimming of trailing digits, as follows: + + * 'k' : keep trailing zeros, keep decimal point (no trimming) + * '.' : trim all trailing zeros, leave decimal point + * '0' : trim all but the zero before the decimal point. Insert the + zero if it is missing. + * '-' : trim trailing zeros and any trailing decimal point + sign : boolean, optional + Whether to show the sign for positive values. + pad_left : non-negative integer, optional + Pad the left side of the string with whitespace until at least that + many characters are to the left of the decimal point. + pad_right : non-negative integer, optional + Pad the right side of the string with whitespace until at least that + many characters are to the right of the decimal point. + min_digits : non-negative integer or None, optional + Minimum number of digits to print. Only has an effect if `unique=True` + in which case additional digits past those necessary to uniquely + identify the value may be printed, rounding the last additional digit. + + .. versionadded:: 1.21.0 + + Returns + ------- + rep : string + The string representation of the floating point value + + See Also + -------- + format_float_scientific + + Examples + -------- + >>> import numpy as np + >>> np.format_float_positional(np.float32(np.pi)) + '3.1415927' + >>> np.format_float_positional(np.float16(np.pi)) + '3.14' + >>> np.format_float_positional(np.float16(0.3)) + '0.3' + >>> np.format_float_positional(np.float16(0.3), unique=False, precision=10) + '0.3000488281' + """ + precision = _none_or_positive_arg(precision, 'precision') + pad_left = _none_or_positive_arg(pad_left, 'pad_left') + pad_right = _none_or_positive_arg(pad_right, 'pad_right') + min_digits = _none_or_positive_arg(min_digits, 'min_digits') + if not fractional and precision == 0: + raise ValueError("precision must be greater than 0 if " + "fractional=False") + if min_digits > 0 and precision > 0 and min_digits > precision: + raise ValueError("min_digits must be less than or equal to precision") + return dragon4_positional(x, precision=precision, unique=unique, + fractional=fractional, trim=trim, + sign=sign, pad_left=pad_left, + pad_right=pad_right, min_digits=min_digits) + +class IntegerFormat: + def __init__(self, data, sign='-'): + if data.size > 0: + data_max = np.max(data) + data_min = np.min(data) + data_max_str_len = len(str(data_max)) + if sign == ' ' and data_min < 0: + sign = '-' + if data_max >= 0 and sign in "+ ": + data_max_str_len += 1 + max_str_len = max(data_max_str_len, + len(str(data_min))) + else: + max_str_len = 0 + self.format = f'{{:{sign}{max_str_len}d}}' + + def __call__(self, x): + return self.format.format(x) + +class BoolFormat: + def __init__(self, data, **kwargs): + # add an extra space so " True" and "False" have the same length and + # array elements align nicely when printed, except in 0d arrays + self.truestr = ' True' if data.shape != () else 'True' + + def __call__(self, x): + return self.truestr if x else "False" + + +class ComplexFloatingFormat: + """ Formatter for subtypes of np.complexfloating """ + def __init__(self, x, precision, floatmode, suppress_small, + sign=False, *, legacy=None): + # for backcompatibility, accept bools + if isinstance(sign, bool): + sign = '+' if sign else '-' + + floatmode_real = floatmode_imag = floatmode + if legacy <= 113: + floatmode_real = 'maxprec_equal' + floatmode_imag = 'maxprec' + + self.real_format = FloatingFormat( + x.real, precision, floatmode_real, suppress_small, + sign=sign, legacy=legacy + ) + self.imag_format = FloatingFormat( + x.imag, precision, floatmode_imag, suppress_small, + sign='+', legacy=legacy + ) + + def __call__(self, x): + r = self.real_format(x.real) + i = self.imag_format(x.imag) + + # add the 'j' before the terminal whitespace in i + sp = len(i.rstrip()) + i = i[:sp] + 'j' + i[sp:] + + return r + i + + +class _TimelikeFormat: + def __init__(self, data): + non_nat = data[~isnat(data)] + if len(non_nat) > 0: + # Max str length of non-NaT elements + max_str_len = max(len(self._format_non_nat(np.max(non_nat))), + len(self._format_non_nat(np.min(non_nat)))) + else: + max_str_len = 0 + if len(non_nat) < data.size: + # data contains a NaT + max_str_len = max(max_str_len, 5) + self._format = '%{}s'.format(max_str_len) + self._nat = "'NaT'".rjust(max_str_len) + + def _format_non_nat(self, x): + # override in subclass + raise NotImplementedError + + def __call__(self, x): + if isnat(x): + return self._nat + else: + return self._format % self._format_non_nat(x) + + +class DatetimeFormat(_TimelikeFormat): + def __init__(self, x, unit=None, timezone=None, casting='same_kind', + legacy=False): + # Get the unit from the dtype + if unit is None: + if x.dtype.kind == 'M': + unit = datetime_data(x.dtype)[0] + else: + unit = 's' + + if timezone is None: + timezone = 'naive' + self.timezone = timezone + self.unit = unit + self.casting = casting + self.legacy = legacy + + # must be called after the above are configured + super().__init__(x) + + def __call__(self, x): + if self.legacy <= 113: + return self._format_non_nat(x) + return super().__call__(x) + + def _format_non_nat(self, x): + return "'%s'" % datetime_as_string(x, + unit=self.unit, + timezone=self.timezone, + casting=self.casting) + + +class TimedeltaFormat(_TimelikeFormat): + def _format_non_nat(self, x): + return str(x.astype('i8')) + + +class SubArrayFormat: + def __init__(self, format_function, **options): + self.format_function = format_function + self.threshold = options['threshold'] + self.edge_items = options['edgeitems'] + + def __call__(self, a): + self.summary_insert = "..." if a.size > self.threshold else "" + return self.format_array(a) + + def format_array(self, a): + if np.ndim(a) == 0: + return self.format_function(a) + + if self.summary_insert and a.shape[0] > 2*self.edge_items: + formatted = ( + [self.format_array(a_) for a_ in a[:self.edge_items]] + + [self.summary_insert] + + [self.format_array(a_) for a_ in a[-self.edge_items:]] + ) + else: + formatted = [self.format_array(a_) for a_ in a] + + return "[" + ", ".join(formatted) + "]" + + +class StructuredVoidFormat: + """ + Formatter for structured np.void objects. + + This does not work on structured alias types like + np.dtype(('i4', 'i2,i2')), as alias scalars lose their field information, + and the implementation relies upon np.void.__getitem__. + """ + def __init__(self, format_functions): + self.format_functions = format_functions + + @classmethod + def from_data(cls, data, **options): + """ + This is a second way to initialize StructuredVoidFormat, + using the raw data as input. Added to avoid changing + the signature of __init__. + """ + format_functions = [] + for field_name in data.dtype.names: + format_function = _get_format_function(data[field_name], **options) + if data.dtype[field_name].shape != (): + format_function = SubArrayFormat(format_function, **options) + format_functions.append(format_function) + return cls(format_functions) + + def __call__(self, x): + str_fields = [ + format_function(field) + for field, format_function in zip(x, self.format_functions) + ] + if len(str_fields) == 1: + return "({},)".format(str_fields[0]) + else: + return "({})".format(", ".join(str_fields)) + + +def _void_scalar_to_string(x, is_repr=True): + """ + Implements the repr for structured-void scalars. It is called from the + scalartypes.c.src code, and is placed here because it uses the elementwise + formatters defined above. + """ + options = format_options.get().copy() + + if options["legacy"] <= 125: + return StructuredVoidFormat.from_data(array(x), **options)(x) + + if options.get('formatter') is None: + options['formatter'] = {} + options['formatter'].setdefault('float_kind', str) + val_repr = StructuredVoidFormat.from_data(array(x), **options)(x) + if not is_repr: + return val_repr + cls = type(x) + cls_fqn = cls.__module__.replace("numpy", "np") + "." + cls.__name__ + void_dtype = np.dtype((np.void, x.dtype)) + return f"{cls_fqn}({val_repr}, dtype={void_dtype!s})" + + +_typelessdata = [int_, float64, complex128, _nt.bool] + + +def dtype_is_implied(dtype): + """ + Determine if the given dtype is implied by the representation + of its values. + + Parameters + ---------- + dtype : dtype + Data type + + Returns + ------- + implied : bool + True if the dtype is implied by the representation of its values. + + Examples + -------- + >>> import numpy as np + >>> np._core.arrayprint.dtype_is_implied(int) + True + >>> np.array([1, 2, 3], int) + array([1, 2, 3]) + >>> np._core.arrayprint.dtype_is_implied(np.int8) + False + >>> np.array([1, 2, 3], np.int8) + array([1, 2, 3], dtype=int8) + """ + dtype = np.dtype(dtype) + if format_options.get()['legacy'] <= 113 and dtype.type == np.bool: + return False + + # not just void types can be structured, and names are not part of the repr + if dtype.names is not None: + return False + + # should care about endianness *unless size is 1* (e.g., int8, bool) + if not dtype.isnative: + return False + + return dtype.type in _typelessdata + + +def dtype_short_repr(dtype): + """ + Convert a dtype to a short form which evaluates to the same dtype. + + The intent is roughly that the following holds + + >>> from numpy import * + >>> dt = np.int64([1, 2]).dtype + >>> assert eval(dtype_short_repr(dt)) == dt + """ + if type(dtype).__repr__ != np.dtype.__repr__: + # TODO: Custom repr for user DTypes, logic should likely move. + return repr(dtype) + if dtype.names is not None: + # structured dtypes give a list or tuple repr + return str(dtype) + elif issubclass(dtype.type, flexible): + # handle these separately so they don't give garbage like str256 + return "'%s'" % str(dtype) + + typename = dtype.name + if not dtype.isnative: + # deal with cases like dtype(' 210 + and arr.size > current_options['threshold']): + extras.append(f"shape={arr.shape}") + if not dtype_is_implied(arr.dtype) or arr.size == 0: + extras.append(f"dtype={dtype_short_repr(arr.dtype)}") + + if not extras: + return prefix + lst + ")" + + arr_str = prefix + lst + "," + extra_str = ", ".join(extras) + ")" + # compute whether we should put extras on a new line: Do so if adding the + # extras would extend the last line past max_line_width. + # Note: This line gives the correct result even when rfind returns -1. + last_line_len = len(arr_str) - (arr_str.rfind('\n') + 1) + spacer = " " + if current_options['legacy'] <= 113: + if issubclass(arr.dtype.type, flexible): + spacer = '\n' + ' '*len(prefix) + elif last_line_len + len(extra_str) + 1 > max_line_width: + spacer = '\n' + ' '*len(prefix) + + return arr_str + spacer + extra_str + + +def _array_repr_dispatcher( + arr, max_line_width=None, precision=None, suppress_small=None): + return (arr,) + + +@array_function_dispatch(_array_repr_dispatcher, module='numpy') +def array_repr(arr, max_line_width=None, precision=None, suppress_small=None): + """ + Return the string representation of an array. + + Parameters + ---------- + arr : ndarray + Input array. + max_line_width : int, optional + Inserts newlines if text is longer than `max_line_width`. + Defaults to ``numpy.get_printoptions()['linewidth']``. + precision : int, optional + Floating point precision. + Defaults to ``numpy.get_printoptions()['precision']``. + suppress_small : bool, optional + Represent numbers "very close" to zero as zero; default is False. + Very close is defined by precision: if the precision is 8, e.g., + numbers smaller (in absolute value) than 5e-9 are represented as + zero. + Defaults to ``numpy.get_printoptions()['suppress']``. + + Returns + ------- + string : str + The string representation of an array. + + See Also + -------- + array_str, array2string, set_printoptions + + Examples + -------- + >>> import numpy as np + >>> np.array_repr(np.array([1,2])) + 'array([1, 2])' + >>> np.array_repr(np.ma.array([0.])) + 'MaskedArray([0.])' + >>> np.array_repr(np.array([], np.int32)) + 'array([], dtype=int32)' + + >>> x = np.array([1e-6, 4e-7, 2, 3]) + >>> np.array_repr(x, precision=6, suppress_small=True) + 'array([0.000001, 0. , 2. , 3. ])' + + """ + return _array_repr_implementation( + arr, max_line_width, precision, suppress_small) + + +@_recursive_guard() +def _guarded_repr_or_str(v): + if isinstance(v, bytes): + return repr(v) + return str(v) + + +def _array_str_implementation( + a, max_line_width=None, precision=None, suppress_small=None, + array2string=array2string): + """Internal version of array_str() that allows overriding array2string.""" + if (format_options.get()['legacy'] <= 113 and + a.shape == () and not a.dtype.names): + return str(a.item()) + + # the str of 0d arrays is a special case: It should appear like a scalar, + # so floats are not truncated by `precision`, and strings are not wrapped + # in quotes. So we return the str of the scalar value. + if a.shape == (): + # obtain a scalar and call str on it, avoiding problems for subclasses + # for which indexing with () returns a 0d instead of a scalar by using + # ndarray's getindex. Also guard against recursive 0d object arrays. + return _guarded_repr_or_str(np.ndarray.__getitem__(a, ())) + + return array2string(a, max_line_width, precision, suppress_small, ' ', "") + + +def _array_str_dispatcher( + a, max_line_width=None, precision=None, suppress_small=None): + return (a,) + + +@array_function_dispatch(_array_str_dispatcher, module='numpy') +def array_str(a, max_line_width=None, precision=None, suppress_small=None): + """ + Return a string representation of the data in an array. + + The data in the array is returned as a single string. This function is + similar to `array_repr`, the difference being that `array_repr` also + returns information on the kind of array and its data type. + + Parameters + ---------- + a : ndarray + Input array. + max_line_width : int, optional + Inserts newlines if text is longer than `max_line_width`. + Defaults to ``numpy.get_printoptions()['linewidth']``. + precision : int, optional + Floating point precision. + Defaults to ``numpy.get_printoptions()['precision']``. + suppress_small : bool, optional + Represent numbers "very close" to zero as zero; default is False. + Very close is defined by precision: if the precision is 8, e.g., + numbers smaller (in absolute value) than 5e-9 are represented as + zero. + Defaults to ``numpy.get_printoptions()['suppress']``. + + See Also + -------- + array2string, array_repr, set_printoptions + + Examples + -------- + >>> import numpy as np + >>> np.array_str(np.arange(3)) + '[0 1 2]' + + """ + return _array_str_implementation( + a, max_line_width, precision, suppress_small) + + +# needed if __array_function__ is disabled +_array2string_impl = getattr(array2string, '__wrapped__', array2string) +_default_array_str = functools.partial(_array_str_implementation, + array2string=_array2string_impl) +_default_array_repr = functools.partial(_array_repr_implementation, + array2string=_array2string_impl) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/arrayprint.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/arrayprint.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1f8be64d5e7ba36d5b60e26f2101d9c3838f1ed3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/arrayprint.pyi @@ -0,0 +1,229 @@ +from collections.abc import Callable + +# Using a private class is by no means ideal, but it is simply a consequence +# of a `contextlib.context` returning an instance of aforementioned class +from contextlib import _GeneratorContextManager +from typing import Any, Final, Literal, SupportsIndex, TypeAlias, TypedDict, overload, type_check_only + +from typing_extensions import deprecated + +import numpy as np +from numpy._globals import _NoValueType +from numpy._typing import NDArray, _CharLike_co, _FloatLike_co + +__all__ = [ + "array2string", + "array_repr", + "array_str", + "format_float_positional", + "format_float_scientific", + "get_printoptions", + "printoptions", + "set_printoptions", +] + +### + +_FloatMode: TypeAlias = Literal["fixed", "unique", "maxprec", "maxprec_equal"] +_LegacyNoStyle: TypeAlias = Literal["1.21", "1.25", "2.1", False] +_Legacy: TypeAlias = Literal["1.13", _LegacyNoStyle] +_Sign: TypeAlias = Literal["-", "+", " "] +_Trim: TypeAlias = Literal["k", ".", "0", "-"] +_ReprFunc: TypeAlias = Callable[[NDArray[Any]], str] + +@type_check_only +class _FormatDict(TypedDict, total=False): + bool: Callable[[np.bool], str] + int: Callable[[np.integer], str] + timedelta: Callable[[np.timedelta64], str] + datetime: Callable[[np.datetime64], str] + float: Callable[[np.floating], str] + longfloat: Callable[[np.longdouble], str] + complexfloat: Callable[[np.complexfloating], str] + longcomplexfloat: Callable[[np.clongdouble], str] + void: Callable[[np.void], str] + numpystr: Callable[[_CharLike_co], str] + object: Callable[[object], str] + all: Callable[[object], str] + int_kind: Callable[[np.integer], str] + float_kind: Callable[[np.floating], str] + complex_kind: Callable[[np.complexfloating], str] + str_kind: Callable[[_CharLike_co], str] + +@type_check_only +class _FormatOptions(TypedDict): + precision: int + threshold: int + edgeitems: int + linewidth: int + suppress: bool + nanstr: str + infstr: str + formatter: _FormatDict | None + sign: _Sign + floatmode: _FloatMode + legacy: _Legacy + +### + +__docformat__: Final = "restructuredtext" # undocumented + +def set_printoptions( + precision: None | SupportsIndex = ..., + threshold: None | int = ..., + edgeitems: None | int = ..., + linewidth: None | int = ..., + suppress: None | bool = ..., + nanstr: None | str = ..., + infstr: None | str = ..., + formatter: None | _FormatDict = ..., + sign: _Sign | None = None, + floatmode: _FloatMode | None = None, + *, + legacy: _Legacy | None = None, + override_repr: _ReprFunc | None = None, +) -> None: ... +def get_printoptions() -> _FormatOptions: ... + +# public numpy export +@overload # no style +def array2string( + a: NDArray[Any], + max_line_width: int | None = None, + precision: SupportsIndex | None = None, + suppress_small: bool | None = None, + separator: str = " ", + prefix: str = "", + style: _NoValueType = ..., + formatter: _FormatDict | None = None, + threshold: int | None = None, + edgeitems: int | None = None, + sign: _Sign | None = None, + floatmode: _FloatMode | None = None, + suffix: str = "", + *, + legacy: _Legacy | None = None, +) -> str: ... +@overload # style= (positional), legacy="1.13" +def array2string( + a: NDArray[Any], + max_line_width: int | None, + precision: SupportsIndex | None, + suppress_small: bool | None, + separator: str, + prefix: str, + style: _ReprFunc, + formatter: _FormatDict | None = None, + threshold: int | None = None, + edgeitems: int | None = None, + sign: _Sign | None = None, + floatmode: _FloatMode | None = None, + suffix: str = "", + *, + legacy: Literal["1.13"], +) -> str: ... +@overload # style= (keyword), legacy="1.13" +def array2string( + a: NDArray[Any], + max_line_width: int | None = None, + precision: SupportsIndex | None = None, + suppress_small: bool | None = None, + separator: str = " ", + prefix: str = "", + *, + style: _ReprFunc, + formatter: _FormatDict | None = None, + threshold: int | None = None, + edgeitems: int | None = None, + sign: _Sign | None = None, + floatmode: _FloatMode | None = None, + suffix: str = "", + legacy: Literal["1.13"], +) -> str: ... +@overload # style= (positional), legacy!="1.13" +@deprecated("'style' argument is deprecated and no longer functional except in 1.13 'legacy' mode") +def array2string( + a: NDArray[Any], + max_line_width: int | None, + precision: SupportsIndex | None, + suppress_small: bool | None, + separator: str, + prefix: str, + style: _ReprFunc, + formatter: _FormatDict | None = None, + threshold: int | None = None, + edgeitems: int | None = None, + sign: _Sign | None = None, + floatmode: _FloatMode | None = None, + suffix: str = "", + *, + legacy: _LegacyNoStyle | None = None, +) -> str: ... +@overload # style= (keyword), legacy="1.13" +@deprecated("'style' argument is deprecated and no longer functional except in 1.13 'legacy' mode") +def array2string( + a: NDArray[Any], + max_line_width: int | None = None, + precision: SupportsIndex | None = None, + suppress_small: bool | None = None, + separator: str = " ", + prefix: str = "", + *, + style: _ReprFunc, + formatter: _FormatDict | None = None, + threshold: int | None = None, + edgeitems: int | None = None, + sign: _Sign | None = None, + floatmode: _FloatMode | None = None, + suffix: str = "", + legacy: _LegacyNoStyle | None = None, +) -> str: ... + +def format_float_scientific( + x: _FloatLike_co, + precision: None | int = ..., + unique: bool = ..., + trim: _Trim = "k", + sign: bool = ..., + pad_left: None | int = ..., + exp_digits: None | int = ..., + min_digits: None | int = ..., +) -> str: ... +def format_float_positional( + x: _FloatLike_co, + precision: None | int = ..., + unique: bool = ..., + fractional: bool = ..., + trim: _Trim = "k", + sign: bool = ..., + pad_left: None | int = ..., + pad_right: None | int = ..., + min_digits: None | int = ..., +) -> str: ... +def array_repr( + arr: NDArray[Any], + max_line_width: None | int = ..., + precision: None | SupportsIndex = ..., + suppress_small: None | bool = ..., +) -> str: ... +def array_str( + a: NDArray[Any], + max_line_width: None | int = ..., + precision: None | SupportsIndex = ..., + suppress_small: None | bool = ..., +) -> str: ... +def printoptions( + precision: None | SupportsIndex = ..., + threshold: None | int = ..., + edgeitems: None | int = ..., + linewidth: None | int = ..., + suppress: None | bool = ..., + nanstr: None | str = ..., + infstr: None | str = ..., + formatter: None | _FormatDict = ..., + sign: None | _Sign = None, + floatmode: _FloatMode | None = None, + *, + legacy: _Legacy | None = None, + override_repr: _ReprFunc | None = None, +) -> _GeneratorContextManager[_FormatOptions]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/cversions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/cversions.py new file mode 100644 index 0000000000000000000000000000000000000000..00159c3a8031d8ccd44b226db42090f97014cd9f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/cversions.py @@ -0,0 +1,13 @@ +"""Simple script to compute the api hash of the current API. + +The API has is defined by numpy_api_order and ufunc_api_order. + +""" +from os.path import dirname + +from code_generators.genapi import fullapi_hash +from code_generators.numpy_api import full_api + +if __name__ == '__main__': + curdir = dirname(__file__) + print(fullapi_hash(full_api)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/defchararray.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/defchararray.py new file mode 100644 index 0000000000000000000000000000000000000000..49ed5d38525e91401241b2759e00e5ab18d0c606 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/defchararray.py @@ -0,0 +1,1414 @@ +""" +This module contains a set of functions for vectorized string +operations and methods. + +.. note:: + The `chararray` class exists for backwards compatibility with + Numarray, it is not recommended for new development. Starting from numpy + 1.4, if one needs arrays of strings, it is recommended to use arrays of + `dtype` `object_`, `bytes_` or `str_`, and use the free functions + in the `numpy.char` module for fast vectorized string operations. + +Some methods will only be available if the corresponding string method is +available in your version of Python. + +The preferred alias for `defchararray` is `numpy.char`. + +""" +import functools + +import numpy as np +from .._utils import set_module +from .numerictypes import bytes_, str_, character +from .numeric import ndarray, array as narray, asarray as asnarray +from numpy._core.multiarray import compare_chararrays +from numpy._core import overrides +from numpy.strings import * +from numpy.strings import ( + multiply as strings_multiply, + partition as strings_partition, + rpartition as strings_rpartition, +) +from numpy._core.strings import ( + _split as split, + _rsplit as rsplit, + _splitlines as splitlines, + _join as join, +) + +__all__ = [ + 'equal', 'not_equal', 'greater_equal', 'less_equal', + 'greater', 'less', 'str_len', 'add', 'multiply', 'mod', 'capitalize', + 'center', 'count', 'decode', 'encode', 'endswith', 'expandtabs', + 'find', 'index', 'isalnum', 'isalpha', 'isdigit', 'islower', 'isspace', + 'istitle', 'isupper', 'join', 'ljust', 'lower', 'lstrip', 'partition', + 'replace', 'rfind', 'rindex', 'rjust', 'rpartition', 'rsplit', + 'rstrip', 'split', 'splitlines', 'startswith', 'strip', 'swapcase', + 'title', 'translate', 'upper', 'zfill', 'isnumeric', 'isdecimal', + 'array', 'asarray', 'compare_chararrays', 'chararray' + ] + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy.char') + + +def _binary_op_dispatcher(x1, x2): + return (x1, x2) + + +@array_function_dispatch(_binary_op_dispatcher) +def equal(x1, x2): + """ + Return (x1 == x2) element-wise. + + Unlike `numpy.equal`, this comparison is performed by first + stripping whitespace characters from the end of the string. This + behavior is provided for backward-compatibility with numarray. + + Parameters + ---------- + x1, x2 : array_like of str or unicode + Input arrays of the same shape. + + Returns + ------- + out : ndarray + Output array of bools. + + Examples + -------- + >>> import numpy as np + >>> y = "aa " + >>> x = "aa" + >>> np.char.equal(x, y) + array(True) + + See Also + -------- + not_equal, greater_equal, less_equal, greater, less + """ + return compare_chararrays(x1, x2, '==', True) + + +@array_function_dispatch(_binary_op_dispatcher) +def not_equal(x1, x2): + """ + Return (x1 != x2) element-wise. + + Unlike `numpy.not_equal`, this comparison is performed by first + stripping whitespace characters from the end of the string. This + behavior is provided for backward-compatibility with numarray. + + Parameters + ---------- + x1, x2 : array_like of str or unicode + Input arrays of the same shape. + + Returns + ------- + out : ndarray + Output array of bools. + + See Also + -------- + equal, greater_equal, less_equal, greater, less + + Examples + -------- + >>> import numpy as np + >>> x1 = np.array(['a', 'b', 'c']) + >>> np.char.not_equal(x1, 'b') + array([ True, False, True]) + + """ + return compare_chararrays(x1, x2, '!=', True) + + +@array_function_dispatch(_binary_op_dispatcher) +def greater_equal(x1, x2): + """ + Return (x1 >= x2) element-wise. + + Unlike `numpy.greater_equal`, this comparison is performed by + first stripping whitespace characters from the end of the string. + This behavior is provided for backward-compatibility with + numarray. + + Parameters + ---------- + x1, x2 : array_like of str or unicode + Input arrays of the same shape. + + Returns + ------- + out : ndarray + Output array of bools. + + See Also + -------- + equal, not_equal, less_equal, greater, less + + Examples + -------- + >>> import numpy as np + >>> x1 = np.array(['a', 'b', 'c']) + >>> np.char.greater_equal(x1, 'b') + array([False, True, True]) + + """ + return compare_chararrays(x1, x2, '>=', True) + + +@array_function_dispatch(_binary_op_dispatcher) +def less_equal(x1, x2): + """ + Return (x1 <= x2) element-wise. + + Unlike `numpy.less_equal`, this comparison is performed by first + stripping whitespace characters from the end of the string. This + behavior is provided for backward-compatibility with numarray. + + Parameters + ---------- + x1, x2 : array_like of str or unicode + Input arrays of the same shape. + + Returns + ------- + out : ndarray + Output array of bools. + + See Also + -------- + equal, not_equal, greater_equal, greater, less + + Examples + -------- + >>> import numpy as np + >>> x1 = np.array(['a', 'b', 'c']) + >>> np.char.less_equal(x1, 'b') + array([ True, True, False]) + + """ + return compare_chararrays(x1, x2, '<=', True) + + +@array_function_dispatch(_binary_op_dispatcher) +def greater(x1, x2): + """ + Return (x1 > x2) element-wise. + + Unlike `numpy.greater`, this comparison is performed by first + stripping whitespace characters from the end of the string. This + behavior is provided for backward-compatibility with numarray. + + Parameters + ---------- + x1, x2 : array_like of str or unicode + Input arrays of the same shape. + + Returns + ------- + out : ndarray + Output array of bools. + + See Also + -------- + equal, not_equal, greater_equal, less_equal, less + + Examples + -------- + >>> import numpy as np + >>> x1 = np.array(['a', 'b', 'c']) + >>> np.char.greater(x1, 'b') + array([False, False, True]) + + """ + return compare_chararrays(x1, x2, '>', True) + + +@array_function_dispatch(_binary_op_dispatcher) +def less(x1, x2): + """ + Return (x1 < x2) element-wise. + + Unlike `numpy.greater`, this comparison is performed by first + stripping whitespace characters from the end of the string. This + behavior is provided for backward-compatibility with numarray. + + Parameters + ---------- + x1, x2 : array_like of str or unicode + Input arrays of the same shape. + + Returns + ------- + out : ndarray + Output array of bools. + + See Also + -------- + equal, not_equal, greater_equal, less_equal, greater + + Examples + -------- + >>> import numpy as np + >>> x1 = np.array(['a', 'b', 'c']) + >>> np.char.less(x1, 'b') + array([True, False, False]) + + """ + return compare_chararrays(x1, x2, '<', True) + + +@set_module("numpy.char") +def multiply(a, i): + """ + Return (a * i), that is string multiple concatenation, + element-wise. + + Values in ``i`` of less than 0 are treated as 0 (which yields an + empty string). + + Parameters + ---------- + a : array_like, with `np.bytes_` or `np.str_` dtype + + i : array_like, with any integer dtype + + Returns + ------- + out : ndarray + Output array of str or unicode, depending on input types + + Notes + ----- + This is a thin wrapper around np.strings.multiply that raises + `ValueError` when ``i`` is not an integer. It only + exists for backwards-compatibility. + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["a", "b", "c"]) + >>> np.strings.multiply(a, 3) + array(['aaa', 'bbb', 'ccc'], dtype='>> i = np.array([1, 2, 3]) + >>> np.strings.multiply(a, i) + array(['a', 'bb', 'ccc'], dtype='>> np.strings.multiply(np.array(['a']), i) + array(['a', 'aa', 'aaa'], dtype='>> a = np.array(['a', 'b', 'c', 'd', 'e', 'f']).reshape((2, 3)) + >>> np.strings.multiply(a, 3) + array([['aaa', 'bbb', 'ccc'], + ['ddd', 'eee', 'fff']], dtype='>> np.strings.multiply(a, i) + array([['a', 'bb', 'ccc'], + ['d', 'ee', 'fff']], dtype='>> import numpy as np + >>> x = np.array(["Numpy is nice!"]) + >>> np.char.partition(x, " ") + array([['Numpy', ' ', 'is nice!']], dtype='>> import numpy as np + >>> a = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> np.char.rpartition(a, 'A') + array([['aAaAa', 'A', ''], + [' a', 'A', ' '], + ['abB', 'A', 'Bba']], dtype='= 2`` and ``order='F'``, in which case `strides` + is in "Fortran order". + + Methods + ------- + astype + argsort + copy + count + decode + dump + dumps + encode + endswith + expandtabs + fill + find + flatten + getfield + index + isalnum + isalpha + isdecimal + isdigit + islower + isnumeric + isspace + istitle + isupper + item + join + ljust + lower + lstrip + nonzero + put + ravel + repeat + replace + reshape + resize + rfind + rindex + rjust + rsplit + rstrip + searchsorted + setfield + setflags + sort + split + splitlines + squeeze + startswith + strip + swapaxes + swapcase + take + title + tofile + tolist + tostring + translate + transpose + upper + view + zfill + + Parameters + ---------- + shape : tuple + Shape of the array. + itemsize : int, optional + Length of each array element, in number of characters. Default is 1. + unicode : bool, optional + Are the array elements of type unicode (True) or string (False). + Default is False. + buffer : object exposing the buffer interface or str, optional + Memory address of the start of the array data. Default is None, + in which case a new array is created. + offset : int, optional + Fixed stride displacement from the beginning of an axis? + Default is 0. Needs to be >=0. + strides : array_like of ints, optional + Strides for the array (see `~numpy.ndarray.strides` for + full description). Default is None. + order : {'C', 'F'}, optional + The order in which the array data is stored in memory: 'C' -> + "row major" order (the default), 'F' -> "column major" + (Fortran) order. + + Examples + -------- + >>> import numpy as np + >>> charar = np.char.chararray((3, 3)) + >>> charar[:] = 'a' + >>> charar + chararray([[b'a', b'a', b'a'], + [b'a', b'a', b'a'], + [b'a', b'a', b'a']], dtype='|S1') + + >>> charar = np.char.chararray(charar.shape, itemsize=5) + >>> charar[:] = 'abc' + >>> charar + chararray([[b'abc', b'abc', b'abc'], + [b'abc', b'abc', b'abc'], + [b'abc', b'abc', b'abc']], dtype='|S5') + + """ + def __new__(subtype, shape, itemsize=1, unicode=False, buffer=None, + offset=0, strides=None, order='C'): + if unicode: + dtype = str_ + else: + dtype = bytes_ + + # force itemsize to be a Python int, since using NumPy integer + # types results in itemsize.itemsize being used as the size of + # strings in the new array. + itemsize = int(itemsize) + + if isinstance(buffer, str): + # unicode objects do not have the buffer interface + filler = buffer + buffer = None + else: + filler = None + + if buffer is None: + self = ndarray.__new__(subtype, shape, (dtype, itemsize), + order=order) + else: + self = ndarray.__new__(subtype, shape, (dtype, itemsize), + buffer=buffer, + offset=offset, strides=strides, + order=order) + if filler is not None: + self[...] = filler + + return self + + def __array_wrap__(self, arr, context=None, return_scalar=False): + # When calling a ufunc (and some other functions), we return a + # chararray if the ufunc output is a string-like array, + # or an ndarray otherwise + if arr.dtype.char in "SUbc": + return arr.view(type(self)) + return arr + + def __array_finalize__(self, obj): + # The b is a special case because it is used for reconstructing. + if self.dtype.char not in 'VSUbc': + raise ValueError("Can only create a chararray from string data.") + + def __getitem__(self, obj): + val = ndarray.__getitem__(self, obj) + if isinstance(val, character): + return val.rstrip() + return val + + # IMPLEMENTATION NOTE: Most of the methods of this class are + # direct delegations to the free functions in this module. + # However, those that return an array of strings should instead + # return a chararray, so some extra wrapping is required. + + def __eq__(self, other): + """ + Return (self == other) element-wise. + + See Also + -------- + equal + """ + return equal(self, other) + + def __ne__(self, other): + """ + Return (self != other) element-wise. + + See Also + -------- + not_equal + """ + return not_equal(self, other) + + def __ge__(self, other): + """ + Return (self >= other) element-wise. + + See Also + -------- + greater_equal + """ + return greater_equal(self, other) + + def __le__(self, other): + """ + Return (self <= other) element-wise. + + See Also + -------- + less_equal + """ + return less_equal(self, other) + + def __gt__(self, other): + """ + Return (self > other) element-wise. + + See Also + -------- + greater + """ + return greater(self, other) + + def __lt__(self, other): + """ + Return (self < other) element-wise. + + See Also + -------- + less + """ + return less(self, other) + + def __add__(self, other): + """ + Return (self + other), that is string concatenation, + element-wise for a pair of array_likes of str or unicode. + + See Also + -------- + add + """ + return add(self, other) + + def __radd__(self, other): + """ + Return (other + self), that is string concatenation, + element-wise for a pair of array_likes of `bytes_` or `str_`. + + See Also + -------- + add + """ + return add(other, self) + + def __mul__(self, i): + """ + Return (self * i), that is string multiple concatenation, + element-wise. + + See Also + -------- + multiply + """ + return asarray(multiply(self, i)) + + def __rmul__(self, i): + """ + Return (self * i), that is string multiple concatenation, + element-wise. + + See Also + -------- + multiply + """ + return asarray(multiply(self, i)) + + def __mod__(self, i): + """ + Return (self % i), that is pre-Python 2.6 string formatting + (interpolation), element-wise for a pair of array_likes of `bytes_` + or `str_`. + + See Also + -------- + mod + """ + return asarray(mod(self, i)) + + def __rmod__(self, other): + return NotImplemented + + def argsort(self, axis=-1, kind=None, order=None): + """ + Return the indices that sort the array lexicographically. + + For full documentation see `numpy.argsort`, for which this method is + in fact merely a "thin wrapper." + + Examples + -------- + >>> c = np.array(['a1b c', '1b ca', 'b ca1', 'Ca1b'], 'S5') + >>> c = c.view(np.char.chararray); c + chararray(['a1b c', '1b ca', 'b ca1', 'Ca1b'], + dtype='|S5') + >>> c[c.argsort()] + chararray(['1b ca', 'Ca1b', 'a1b c', 'b ca1'], + dtype='|S5') + + """ + return self.__array__().argsort(axis, kind, order) + argsort.__doc__ = ndarray.argsort.__doc__ + + def capitalize(self): + """ + Return a copy of `self` with only the first character of each element + capitalized. + + See Also + -------- + char.capitalize + + """ + return asarray(capitalize(self)) + + def center(self, width, fillchar=' '): + """ + Return a copy of `self` with its elements centered in a + string of length `width`. + + See Also + -------- + center + """ + return asarray(center(self, width, fillchar)) + + def count(self, sub, start=0, end=None): + """ + Returns an array with the number of non-overlapping occurrences of + substring `sub` in the range [`start`, `end`]. + + See Also + -------- + char.count + + """ + return count(self, sub, start, end) + + def decode(self, encoding=None, errors=None): + """ + Calls ``bytes.decode`` element-wise. + + See Also + -------- + char.decode + + """ + return decode(self, encoding, errors) + + def encode(self, encoding=None, errors=None): + """ + Calls :meth:`str.encode` element-wise. + + See Also + -------- + char.encode + + """ + return encode(self, encoding, errors) + + def endswith(self, suffix, start=0, end=None): + """ + Returns a boolean array which is `True` where the string element + in `self` ends with `suffix`, otherwise `False`. + + See Also + -------- + char.endswith + + """ + return endswith(self, suffix, start, end) + + def expandtabs(self, tabsize=8): + """ + Return a copy of each string element where all tab characters are + replaced by one or more spaces. + + See Also + -------- + char.expandtabs + + """ + return asarray(expandtabs(self, tabsize)) + + def find(self, sub, start=0, end=None): + """ + For each element, return the lowest index in the string where + substring `sub` is found. + + See Also + -------- + char.find + + """ + return find(self, sub, start, end) + + def index(self, sub, start=0, end=None): + """ + Like `find`, but raises :exc:`ValueError` when the substring is not + found. + + See Also + -------- + char.index + + """ + return index(self, sub, start, end) + + def isalnum(self): + """ + Returns true for each element if all characters in the string + are alphanumeric and there is at least one character, false + otherwise. + + See Also + -------- + char.isalnum + + """ + return isalnum(self) + + def isalpha(self): + """ + Returns true for each element if all characters in the string + are alphabetic and there is at least one character, false + otherwise. + + See Also + -------- + char.isalpha + + """ + return isalpha(self) + + def isdigit(self): + """ + Returns true for each element if all characters in the string are + digits and there is at least one character, false otherwise. + + See Also + -------- + char.isdigit + + """ + return isdigit(self) + + def islower(self): + """ + Returns true for each element if all cased characters in the + string are lowercase and there is at least one cased character, + false otherwise. + + See Also + -------- + char.islower + + """ + return islower(self) + + def isspace(self): + """ + Returns true for each element if there are only whitespace + characters in the string and there is at least one character, + false otherwise. + + See Also + -------- + char.isspace + + """ + return isspace(self) + + def istitle(self): + """ + Returns true for each element if the element is a titlecased + string and there is at least one character, false otherwise. + + See Also + -------- + char.istitle + + """ + return istitle(self) + + def isupper(self): + """ + Returns true for each element if all cased characters in the + string are uppercase and there is at least one character, false + otherwise. + + See Also + -------- + char.isupper + + """ + return isupper(self) + + def join(self, seq): + """ + Return a string which is the concatenation of the strings in the + sequence `seq`. + + See Also + -------- + char.join + + """ + return join(self, seq) + + def ljust(self, width, fillchar=' '): + """ + Return an array with the elements of `self` left-justified in a + string of length `width`. + + See Also + -------- + char.ljust + + """ + return asarray(ljust(self, width, fillchar)) + + def lower(self): + """ + Return an array with the elements of `self` converted to + lowercase. + + See Also + -------- + char.lower + + """ + return asarray(lower(self)) + + def lstrip(self, chars=None): + """ + For each element in `self`, return a copy with the leading characters + removed. + + See Also + -------- + char.lstrip + + """ + return lstrip(self, chars) + + def partition(self, sep): + """ + Partition each element in `self` around `sep`. + + See Also + -------- + partition + """ + return asarray(partition(self, sep)) + + def replace(self, old, new, count=None): + """ + For each element in `self`, return a copy of the string with all + occurrences of substring `old` replaced by `new`. + + See Also + -------- + char.replace + + """ + return replace(self, old, new, count if count is not None else -1) + + def rfind(self, sub, start=0, end=None): + """ + For each element in `self`, return the highest index in the string + where substring `sub` is found, such that `sub` is contained + within [`start`, `end`]. + + See Also + -------- + char.rfind + + """ + return rfind(self, sub, start, end) + + def rindex(self, sub, start=0, end=None): + """ + Like `rfind`, but raises :exc:`ValueError` when the substring `sub` is + not found. + + See Also + -------- + char.rindex + + """ + return rindex(self, sub, start, end) + + def rjust(self, width, fillchar=' '): + """ + Return an array with the elements of `self` + right-justified in a string of length `width`. + + See Also + -------- + char.rjust + + """ + return asarray(rjust(self, width, fillchar)) + + def rpartition(self, sep): + """ + Partition each element in `self` around `sep`. + + See Also + -------- + rpartition + """ + return asarray(rpartition(self, sep)) + + def rsplit(self, sep=None, maxsplit=None): + """ + For each element in `self`, return a list of the words in + the string, using `sep` as the delimiter string. + + See Also + -------- + char.rsplit + + """ + return rsplit(self, sep, maxsplit) + + def rstrip(self, chars=None): + """ + For each element in `self`, return a copy with the trailing + characters removed. + + See Also + -------- + char.rstrip + + """ + return rstrip(self, chars) + + def split(self, sep=None, maxsplit=None): + """ + For each element in `self`, return a list of the words in the + string, using `sep` as the delimiter string. + + See Also + -------- + char.split + + """ + return split(self, sep, maxsplit) + + def splitlines(self, keepends=None): + """ + For each element in `self`, return a list of the lines in the + element, breaking at line boundaries. + + See Also + -------- + char.splitlines + + """ + return splitlines(self, keepends) + + def startswith(self, prefix, start=0, end=None): + """ + Returns a boolean array which is `True` where the string element + in `self` starts with `prefix`, otherwise `False`. + + See Also + -------- + char.startswith + + """ + return startswith(self, prefix, start, end) + + def strip(self, chars=None): + """ + For each element in `self`, return a copy with the leading and + trailing characters removed. + + See Also + -------- + char.strip + + """ + return strip(self, chars) + + def swapcase(self): + """ + For each element in `self`, return a copy of the string with + uppercase characters converted to lowercase and vice versa. + + See Also + -------- + char.swapcase + + """ + return asarray(swapcase(self)) + + def title(self): + """ + For each element in `self`, return a titlecased version of the + string: words start with uppercase characters, all remaining cased + characters are lowercase. + + See Also + -------- + char.title + + """ + return asarray(title(self)) + + def translate(self, table, deletechars=None): + """ + For each element in `self`, return a copy of the string where + all characters occurring in the optional argument + `deletechars` are removed, and the remaining characters have + been mapped through the given translation table. + + See Also + -------- + char.translate + + """ + return asarray(translate(self, table, deletechars)) + + def upper(self): + """ + Return an array with the elements of `self` converted to + uppercase. + + See Also + -------- + char.upper + + """ + return asarray(upper(self)) + + def zfill(self, width): + """ + Return the numeric string left-filled with zeros in a string of + length `width`. + + See Also + -------- + char.zfill + + """ + return asarray(zfill(self, width)) + + def isnumeric(self): + """ + For each element in `self`, return True if there are only + numeric characters in the element. + + See Also + -------- + char.isnumeric + + """ + return isnumeric(self) + + def isdecimal(self): + """ + For each element in `self`, return True if there are only + decimal characters in the element. + + See Also + -------- + char.isdecimal + + """ + return isdecimal(self) + + +@set_module("numpy.char") +def array(obj, itemsize=None, copy=True, unicode=None, order=None): + """ + Create a `~numpy.char.chararray`. + + .. note:: + This class is provided for numarray backward-compatibility. + New code (not concerned with numarray compatibility) should use + arrays of type `bytes_` or `str_` and use the free functions + in :mod:`numpy.char` for fast vectorized string operations instead. + + Versus a NumPy array of dtype `bytes_` or `str_`, this + class adds the following functionality: + + 1) values automatically have whitespace removed from the end + when indexed + + 2) comparison operators automatically remove whitespace from the + end when comparing values + + 3) vectorized string operations are provided as methods + (e.g. `chararray.endswith `) + and infix operators (e.g. ``+, *, %``) + + Parameters + ---------- + obj : array of str or unicode-like + + itemsize : int, optional + `itemsize` is the number of characters per scalar in the + resulting array. If `itemsize` is None, and `obj` is an + object array or a Python list, the `itemsize` will be + automatically determined. If `itemsize` is provided and `obj` + is of type str or unicode, then the `obj` string will be + chunked into `itemsize` pieces. + + copy : bool, optional + If true (default), then the object is copied. Otherwise, a copy + will only be made if ``__array__`` returns a copy, if obj is a + nested sequence, or if a copy is needed to satisfy any of the other + requirements (`itemsize`, unicode, `order`, etc.). + + unicode : bool, optional + When true, the resulting `~numpy.char.chararray` can contain Unicode + characters, when false only 8-bit characters. If unicode is + None and `obj` is one of the following: + + - a `~numpy.char.chararray`, + - an ndarray of type :class:`str_` or :class:`bytes_` + - a Python :class:`str` or :class:`bytes` object, + + then the unicode setting of the output array will be + automatically determined. + + order : {'C', 'F', 'A'}, optional + Specify the order of the array. If order is 'C' (default), then the + array will be in C-contiguous order (last-index varies the + fastest). If order is 'F', then the returned array + will be in Fortran-contiguous order (first-index varies the + fastest). If order is 'A', then the returned array may + be in any order (either C-, Fortran-contiguous, or even + discontiguous). + + Examples + -------- + + >>> import numpy as np + >>> char_array = np.char.array(['hello', 'world', 'numpy','array']) + >>> char_array + chararray(['hello', 'world', 'numpy', 'array'], dtype='`) + and infix operators (e.g. ``+``, ``*``, ``%``) + + Parameters + ---------- + obj : array of str or unicode-like + + itemsize : int, optional + `itemsize` is the number of characters per scalar in the + resulting array. If `itemsize` is None, and `obj` is an + object array or a Python list, the `itemsize` will be + automatically determined. If `itemsize` is provided and `obj` + is of type str or unicode, then the `obj` string will be + chunked into `itemsize` pieces. + + unicode : bool, optional + When true, the resulting `~numpy.char.chararray` can contain Unicode + characters, when false only 8-bit characters. If unicode is + None and `obj` is one of the following: + + - a `~numpy.char.chararray`, + - an ndarray of type `str_` or `unicode_` + - a Python str or unicode object, + + then the unicode setting of the output array will be + automatically determined. + + order : {'C', 'F'}, optional + Specify the order of the array. If order is 'C' (default), then the + array will be in C-contiguous order (last-index varies the + fastest). If order is 'F', then the returned array + will be in Fortran-contiguous order (first-index varies the + fastest). + + Examples + -------- + >>> import numpy as np + >>> np.char.asarray(['hello', 'world']) + chararray(['hello', 'world'], dtype=' chararray[_Shape, dtype[bytes_]]: ... + @overload + def __new__( + subtype, + shape: _ShapeLike, + itemsize: SupportsIndex | SupportsInt = ..., + unicode: L[True] = ..., + buffer: _SupportsBuffer = ..., + offset: SupportsIndex = ..., + strides: _ShapeLike = ..., + order: _OrderKACF = ..., + ) -> chararray[_Shape, dtype[str_]]: ... + + def __array_finalize__(self, obj: object) -> None: ... + def __mul__(self, other: i_co) -> chararray[_Shape, _CharDType_co]: ... + def __rmul__(self, other: i_co) -> chararray[_Shape, _CharDType_co]: ... + def __mod__(self, i: Any) -> chararray[_Shape, _CharDType_co]: ... + + @overload + def __eq__( + self: _CharArray[str_], + other: U_co, + ) -> NDArray[np.bool]: ... + @overload + def __eq__( + self: _CharArray[bytes_], + other: S_co, + ) -> NDArray[np.bool]: ... + + @overload + def __ne__( + self: _CharArray[str_], + other: U_co, + ) -> NDArray[np.bool]: ... + @overload + def __ne__( + self: _CharArray[bytes_], + other: S_co, + ) -> NDArray[np.bool]: ... + + @overload + def __ge__( + self: _CharArray[str_], + other: U_co, + ) -> NDArray[np.bool]: ... + @overload + def __ge__( + self: _CharArray[bytes_], + other: S_co, + ) -> NDArray[np.bool]: ... + + @overload + def __le__( + self: _CharArray[str_], + other: U_co, + ) -> NDArray[np.bool]: ... + @overload + def __le__( + self: _CharArray[bytes_], + other: S_co, + ) -> NDArray[np.bool]: ... + + @overload + def __gt__( + self: _CharArray[str_], + other: U_co, + ) -> NDArray[np.bool]: ... + @overload + def __gt__( + self: _CharArray[bytes_], + other: S_co, + ) -> NDArray[np.bool]: ... + + @overload + def __lt__( + self: _CharArray[str_], + other: U_co, + ) -> NDArray[np.bool]: ... + @overload + def __lt__( + self: _CharArray[bytes_], + other: S_co, + ) -> NDArray[np.bool]: ... + + @overload + def __add__( + self: _CharArray[str_], + other: U_co, + ) -> _CharArray[str_]: ... + @overload + def __add__( + self: _CharArray[bytes_], + other: S_co, + ) -> _CharArray[bytes_]: ... + + @overload + def __radd__( + self: _CharArray[str_], + other: U_co, + ) -> _CharArray[str_]: ... + @overload + def __radd__( + self: _CharArray[bytes_], + other: S_co, + ) -> _CharArray[bytes_]: ... + + @overload + def center( + self: _CharArray[str_], + width: i_co, + fillchar: U_co = ..., + ) -> _CharArray[str_]: ... + @overload + def center( + self: _CharArray[bytes_], + width: i_co, + fillchar: S_co = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def count( + self: _CharArray[str_], + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + @overload + def count( + self: _CharArray[bytes_], + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + + def decode( + self: _CharArray[bytes_], + encoding: None | str = ..., + errors: None | str = ..., + ) -> _CharArray[str_]: ... + + def encode( + self: _CharArray[str_], + encoding: None | str = ..., + errors: None | str = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def endswith( + self: _CharArray[str_], + suffix: U_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[np.bool]: ... + @overload + def endswith( + self: _CharArray[bytes_], + suffix: S_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[np.bool]: ... + + def expandtabs( + self, + tabsize: i_co = ..., + ) -> chararray[_Shape, _CharDType_co]: ... + + @overload + def find( + self: _CharArray[str_], + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + @overload + def find( + self: _CharArray[bytes_], + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + + @overload + def index( + self: _CharArray[str_], + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + @overload + def index( + self: _CharArray[bytes_], + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + + @overload + def join( + self: _CharArray[str_], + seq: U_co, + ) -> _CharArray[str_]: ... + @overload + def join( + self: _CharArray[bytes_], + seq: S_co, + ) -> _CharArray[bytes_]: ... + + @overload + def ljust( + self: _CharArray[str_], + width: i_co, + fillchar: U_co = ..., + ) -> _CharArray[str_]: ... + @overload + def ljust( + self: _CharArray[bytes_], + width: i_co, + fillchar: S_co = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def lstrip( + self: _CharArray[str_], + chars: None | U_co = ..., + ) -> _CharArray[str_]: ... + @overload + def lstrip( + self: _CharArray[bytes_], + chars: None | S_co = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def partition( + self: _CharArray[str_], + sep: U_co, + ) -> _CharArray[str_]: ... + @overload + def partition( + self: _CharArray[bytes_], + sep: S_co, + ) -> _CharArray[bytes_]: ... + + @overload + def replace( + self: _CharArray[str_], + old: U_co, + new: U_co, + count: None | i_co = ..., + ) -> _CharArray[str_]: ... + @overload + def replace( + self: _CharArray[bytes_], + old: S_co, + new: S_co, + count: None | i_co = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def rfind( + self: _CharArray[str_], + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + @overload + def rfind( + self: _CharArray[bytes_], + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + + @overload + def rindex( + self: _CharArray[str_], + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + @overload + def rindex( + self: _CharArray[bytes_], + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[int_]: ... + + @overload + def rjust( + self: _CharArray[str_], + width: i_co, + fillchar: U_co = ..., + ) -> _CharArray[str_]: ... + @overload + def rjust( + self: _CharArray[bytes_], + width: i_co, + fillchar: S_co = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def rpartition( + self: _CharArray[str_], + sep: U_co, + ) -> _CharArray[str_]: ... + @overload + def rpartition( + self: _CharArray[bytes_], + sep: S_co, + ) -> _CharArray[bytes_]: ... + + @overload + def rsplit( + self: _CharArray[str_], + sep: None | U_co = ..., + maxsplit: None | i_co = ..., + ) -> NDArray[object_]: ... + @overload + def rsplit( + self: _CharArray[bytes_], + sep: None | S_co = ..., + maxsplit: None | i_co = ..., + ) -> NDArray[object_]: ... + + @overload + def rstrip( + self: _CharArray[str_], + chars: None | U_co = ..., + ) -> _CharArray[str_]: ... + @overload + def rstrip( + self: _CharArray[bytes_], + chars: None | S_co = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def split( + self: _CharArray[str_], + sep: None | U_co = ..., + maxsplit: None | i_co = ..., + ) -> NDArray[object_]: ... + @overload + def split( + self: _CharArray[bytes_], + sep: None | S_co = ..., + maxsplit: None | i_co = ..., + ) -> NDArray[object_]: ... + + def splitlines(self, keepends: None | b_co = ...) -> NDArray[object_]: ... + + @overload + def startswith( + self: _CharArray[str_], + prefix: U_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[np.bool]: ... + @overload + def startswith( + self: _CharArray[bytes_], + prefix: S_co, + start: i_co = ..., + end: None | i_co = ..., + ) -> NDArray[np.bool]: ... + + @overload + def strip( + self: _CharArray[str_], + chars: None | U_co = ..., + ) -> _CharArray[str_]: ... + @overload + def strip( + self: _CharArray[bytes_], + chars: None | S_co = ..., + ) -> _CharArray[bytes_]: ... + + @overload + def translate( + self: _CharArray[str_], + table: U_co, + deletechars: None | U_co = ..., + ) -> _CharArray[str_]: ... + @overload + def translate( + self: _CharArray[bytes_], + table: S_co, + deletechars: None | S_co = ..., + ) -> _CharArray[bytes_]: ... + + def zfill(self, width: i_co) -> chararray[_Shape, _CharDType_co]: ... + def capitalize(self) -> chararray[_ShapeT_co, _CharDType_co]: ... + def title(self) -> chararray[_ShapeT_co, _CharDType_co]: ... + def swapcase(self) -> chararray[_ShapeT_co, _CharDType_co]: ... + def lower(self) -> chararray[_ShapeT_co, _CharDType_co]: ... + def upper(self) -> chararray[_ShapeT_co, _CharDType_co]: ... + def isalnum(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def isalpha(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def isdigit(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def islower(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def isspace(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def istitle(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def isupper(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def isnumeric(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + def isdecimal(self) -> ndarray[_ShapeT_co, dtype[np.bool]]: ... + + +# Comparison +@overload +def equal(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def not_equal(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def not_equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def not_equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def greater_equal(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def greater_equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def greater_equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def less_equal(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def less_equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def less_equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def greater(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def greater(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def greater(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def less(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def less(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def less(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def add(x1: U_co, x2: U_co) -> NDArray[np.str_]: ... +@overload +def add(x1: S_co, x2: S_co) -> NDArray[np.bytes_]: ... +@overload +def add(x1: _StringDTypeSupportsArray, x2: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def add(x1: T_co, T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def multiply(a: U_co, i: i_co) -> NDArray[np.str_]: ... +@overload +def multiply(a: S_co, i: i_co) -> NDArray[np.bytes_]: ... +@overload +def multiply(a: _StringDTypeSupportsArray, i: i_co) -> _StringDTypeArray: ... +@overload +def multiply(a: T_co, i: i_co) -> _StringDTypeOrUnicodeArray: ... + + +@overload +def mod(a: U_co, value: Any) -> NDArray[np.str_]: ... +@overload +def mod(a: S_co, value: Any) -> NDArray[np.bytes_]: ... +@overload +def mod(a: _StringDTypeSupportsArray, value: Any) -> _StringDTypeArray: ... +@overload +def mod(a: T_co, value: Any) -> _StringDTypeOrUnicodeArray: ... + +@overload +def capitalize(a: U_co) -> NDArray[str_]: ... +@overload +def capitalize(a: S_co) -> NDArray[bytes_]: ... +@overload +def capitalize(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def capitalize(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def center(a: U_co, width: i_co, fillchar: U_co = ...) -> NDArray[str_]: ... +@overload +def center(a: S_co, width: i_co, fillchar: S_co = ...) -> NDArray[bytes_]: ... +@overload +def center(a: _StringDTypeSupportsArray, width: i_co, fillchar: _StringDTypeSupportsArray = ...) -> _StringDTypeArray: ... +@overload +def center(a: T_co, width: i_co, fillchar: T_co = ...) -> _StringDTypeOrUnicodeArray: ... + +def decode( + a: S_co, + encoding: None | str = ..., + errors: None | str = ..., +) -> NDArray[str_]: ... +def encode( + a: U_co | T_co, + encoding: None | str = ..., + errors: None | str = ..., +) -> NDArray[bytes_]: ... + +@overload +def expandtabs(a: U_co, tabsize: i_co = ...) -> NDArray[str_]: ... +@overload +def expandtabs(a: S_co, tabsize: i_co = ...) -> NDArray[bytes_]: ... +@overload +def expandtabs(a: _StringDTypeSupportsArray, tabsize: i_co = ...) -> _StringDTypeArray: ... +@overload +def expandtabs(a: T_co, tabsize: i_co = ...) -> _StringDTypeOrUnicodeArray: ... + +@overload +def join(sep: U_co, seq: U_co) -> NDArray[str_]: ... +@overload +def join(sep: S_co, seq: S_co) -> NDArray[bytes_]: ... +@overload +def join(sep: _StringDTypeSupportsArray, seq: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def join(sep: T_co, seq: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def ljust(a: U_co, width: i_co, fillchar: U_co = ...) -> NDArray[str_]: ... +@overload +def ljust(a: S_co, width: i_co, fillchar: S_co = ...) -> NDArray[bytes_]: ... +@overload +def ljust(a: _StringDTypeSupportsArray, width: i_co, fillchar: _StringDTypeSupportsArray = ...) -> _StringDTypeArray: ... +@overload +def ljust(a: T_co, width: i_co, fillchar: T_co = ...) -> _StringDTypeOrUnicodeArray: ... + +@overload +def lower(a: U_co) -> NDArray[str_]: ... +@overload +def lower(a: S_co) -> NDArray[bytes_]: ... +@overload +def lower(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def lower(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def lstrip(a: U_co, chars: None | U_co = ...) -> NDArray[str_]: ... +@overload +def lstrip(a: S_co, chars: None | S_co = ...) -> NDArray[bytes_]: ... +@overload +def lstrip(a: _StringDTypeSupportsArray, chars: None | _StringDTypeSupportsArray = ...) -> _StringDTypeArray: ... +@overload +def lstrip(a: T_co, chars: None | T_co = ...) -> _StringDTypeOrUnicodeArray: ... + +@overload +def partition(a: U_co, sep: U_co) -> NDArray[str_]: ... +@overload +def partition(a: S_co, sep: S_co) -> NDArray[bytes_]: ... +@overload +def partition(a: _StringDTypeSupportsArray, sep: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def partition(a: T_co, sep: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def replace( + a: U_co, + old: U_co, + new: U_co, + count: None | i_co = ..., +) -> NDArray[str_]: ... +@overload +def replace( + a: S_co, + old: S_co, + new: S_co, + count: None | i_co = ..., +) -> NDArray[bytes_]: ... +@overload +def replace( + a: _StringDTypeSupportsArray, + old: _StringDTypeSupportsArray, + new: _StringDTypeSupportsArray, + count: i_co = ..., +) -> _StringDTypeArray: ... +@overload +def replace( + a: T_co, + old: T_co, + new: T_co, + count: i_co = ..., +) -> _StringDTypeOrUnicodeArray: ... + +@overload +def rjust( + a: U_co, + width: i_co, + fillchar: U_co = ..., +) -> NDArray[str_]: ... +@overload +def rjust( + a: S_co, + width: i_co, + fillchar: S_co = ..., +) -> NDArray[bytes_]: ... +@overload +def rjust( + a: _StringDTypeSupportsArray, + width: i_co, + fillchar: _StringDTypeSupportsArray = ..., +) -> _StringDTypeArray: ... +@overload +def rjust( + a: T_co, + width: i_co, + fillchar: T_co = ..., +) -> _StringDTypeOrUnicodeArray: ... + +@overload +def rpartition(a: U_co, sep: U_co) -> NDArray[str_]: ... +@overload +def rpartition(a: S_co, sep: S_co) -> NDArray[bytes_]: ... +@overload +def rpartition(a: _StringDTypeSupportsArray, sep: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def rpartition(a: T_co, sep: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def rsplit( + a: U_co, + sep: None | U_co = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... +@overload +def rsplit( + a: S_co, + sep: None | S_co = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... +@overload +def rsplit( + a: _StringDTypeSupportsArray, + sep: None | _StringDTypeSupportsArray = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... +@overload +def rsplit( + a: T_co, + sep: None | T_co = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... + +@overload +def rstrip(a: U_co, chars: None | U_co = ...) -> NDArray[str_]: ... +@overload +def rstrip(a: S_co, chars: None | S_co = ...) -> NDArray[bytes_]: ... +@overload +def rstrip(a: _StringDTypeSupportsArray, chars: None | _StringDTypeSupportsArray = ...) -> _StringDTypeArray: ... +@overload +def rstrip(a: T_co, chars: None | T_co = ...) -> _StringDTypeOrUnicodeArray: ... + +@overload +def split( + a: U_co, + sep: None | U_co = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... +@overload +def split( + a: S_co, + sep: None | S_co = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... +@overload +def split( + a: _StringDTypeSupportsArray, + sep: None | _StringDTypeSupportsArray = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... +@overload +def split( + a: T_co, + sep: None | T_co = ..., + maxsplit: None | i_co = ..., +) -> NDArray[object_]: ... + +def splitlines(a: UST_co, keepends: None | b_co = ...) -> NDArray[np.object_]: ... + +@overload +def strip(a: U_co, chars: None | U_co = ...) -> NDArray[str_]: ... +@overload +def strip(a: S_co, chars: None | S_co = ...) -> NDArray[bytes_]: ... +@overload +def strip(a: _StringDTypeSupportsArray, chars: None | _StringDTypeSupportsArray = ...) -> _StringDTypeArray: ... +@overload +def strip(a: T_co, chars: None | T_co = ...) -> _StringDTypeOrUnicodeArray: ... + +@overload +def swapcase(a: U_co) -> NDArray[str_]: ... +@overload +def swapcase(a: S_co) -> NDArray[bytes_]: ... +@overload +def swapcase(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def swapcase(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def title(a: U_co) -> NDArray[str_]: ... +@overload +def title(a: S_co) -> NDArray[bytes_]: ... +@overload +def title(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def title(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def translate( + a: U_co, + table: str, + deletechars: None | str = ..., +) -> NDArray[str_]: ... +@overload +def translate( + a: S_co, + table: str, + deletechars: None | str = ..., +) -> NDArray[bytes_]: ... +@overload +def translate( + a: _StringDTypeSupportsArray, + table: str, + deletechars: None | str = ..., +) -> _StringDTypeArray: ... +@overload +def translate( + a: T_co, + table: str, + deletechars: None | str = ..., +) -> _StringDTypeOrUnicodeArray: ... + +@overload +def upper(a: U_co) -> NDArray[str_]: ... +@overload +def upper(a: S_co) -> NDArray[bytes_]: ... +@overload +def upper(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def upper(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def zfill(a: U_co, width: i_co) -> NDArray[str_]: ... +@overload +def zfill(a: S_co, width: i_co) -> NDArray[bytes_]: ... +@overload +def zfill(a: _StringDTypeSupportsArray, width: i_co) -> _StringDTypeArray: ... +@overload +def zfill(a: T_co, width: i_co) -> _StringDTypeOrUnicodeArray: ... + +# String information +@overload +def count( + a: U_co, + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def count( + a: S_co, + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def count( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def endswith( + a: U_co, + suffix: U_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[np.bool]: ... +@overload +def endswith( + a: S_co, + suffix: S_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[np.bool]: ... +@overload +def endswith( + a: T_co, + suffix: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... + +@overload +def find( + a: U_co, + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def find( + a: S_co, + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def find( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def index( + a: U_co, + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def index( + a: S_co, + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def index( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +def isalpha(a: UST_co) -> NDArray[np.bool]: ... +def isalnum(a: UST_co) -> NDArray[np.bool]: ... +def isdecimal(a: U_co | T_co) -> NDArray[np.bool]: ... +def isdigit(a: UST_co) -> NDArray[np.bool]: ... +def islower(a: UST_co) -> NDArray[np.bool]: ... +def isnumeric(a: U_co | T_co) -> NDArray[np.bool]: ... +def isspace(a: UST_co) -> NDArray[np.bool]: ... +def istitle(a: UST_co) -> NDArray[np.bool]: ... +def isupper(a: UST_co) -> NDArray[np.bool]: ... + +@overload +def rfind( + a: U_co, + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def rfind( + a: S_co, + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def rfind( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def rindex( + a: U_co, + sub: U_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def rindex( + a: S_co, + sub: S_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[int_]: ... +@overload +def rindex( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def startswith( + a: U_co, + prefix: U_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[np.bool]: ... +@overload +def startswith( + a: S_co, + prefix: S_co, + start: i_co = ..., + end: None | i_co = ..., +) -> NDArray[np.bool]: ... +@overload +def startswith( + a: T_co, + suffix: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... + +def str_len(A: UST_co) -> NDArray[int_]: ... + +# Overload 1 and 2: str- or bytes-based array-likes +# overload 3: arbitrary object with unicode=False (-> bytes_) +# overload 4: arbitrary object with unicode=True (-> str_) +@overload +def array( + obj: U_co, + itemsize: None | int = ..., + copy: bool = ..., + unicode: L[False] = ..., + order: _OrderKACF = ..., +) -> _CharArray[str_]: ... +@overload +def array( + obj: S_co, + itemsize: None | int = ..., + copy: bool = ..., + unicode: L[False] = ..., + order: _OrderKACF = ..., +) -> _CharArray[bytes_]: ... +@overload +def array( + obj: object, + itemsize: None | int = ..., + copy: bool = ..., + unicode: L[False] = ..., + order: _OrderKACF = ..., +) -> _CharArray[bytes_]: ... +@overload +def array( + obj: object, + itemsize: None | int = ..., + copy: bool = ..., + unicode: L[True] = ..., + order: _OrderKACF = ..., +) -> _CharArray[str_]: ... + +@overload +def asarray( + obj: U_co, + itemsize: None | int = ..., + unicode: L[False] = ..., + order: _OrderKACF = ..., +) -> _CharArray[str_]: ... +@overload +def asarray( + obj: S_co, + itemsize: None | int = ..., + unicode: L[False] = ..., + order: _OrderKACF = ..., +) -> _CharArray[bytes_]: ... +@overload +def asarray( + obj: object, + itemsize: None | int = ..., + unicode: L[False] = ..., + order: _OrderKACF = ..., +) -> _CharArray[bytes_]: ... +@overload +def asarray( + obj: object, + itemsize: None | int = ..., + unicode: L[True] = ..., + order: _OrderKACF = ..., +) -> _CharArray[str_]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/einsumfunc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/einsumfunc.py new file mode 100644 index 0000000000000000000000000000000000000000..f74dd46e17825a75d6646a675ce980a1fb80025c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/einsumfunc.py @@ -0,0 +1,1499 @@ +""" +Implementation of optimized einsum. + +""" +import itertools +import operator + +from numpy._core.multiarray import c_einsum +from numpy._core.numeric import asanyarray, tensordot +from numpy._core.overrides import array_function_dispatch + +__all__ = ['einsum', 'einsum_path'] + +# importing string for string.ascii_letters would be too slow +# the first import before caching has been measured to take 800 µs (#23777) +einsum_symbols = 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ' +einsum_symbols_set = set(einsum_symbols) + + +def _flop_count(idx_contraction, inner, num_terms, size_dictionary): + """ + Computes the number of FLOPS in the contraction. + + Parameters + ---------- + idx_contraction : iterable + The indices involved in the contraction + inner : bool + Does this contraction require an inner product? + num_terms : int + The number of terms in a contraction + size_dictionary : dict + The size of each of the indices in idx_contraction + + Returns + ------- + flop_count : int + The total number of FLOPS required for the contraction. + + Examples + -------- + + >>> _flop_count('abc', False, 1, {'a': 2, 'b':3, 'c':5}) + 30 + + >>> _flop_count('abc', True, 2, {'a': 2, 'b':3, 'c':5}) + 60 + + """ + + overall_size = _compute_size_by_dict(idx_contraction, size_dictionary) + op_factor = max(1, num_terms - 1) + if inner: + op_factor += 1 + + return overall_size * op_factor + +def _compute_size_by_dict(indices, idx_dict): + """ + Computes the product of the elements in indices based on the dictionary + idx_dict. + + Parameters + ---------- + indices : iterable + Indices to base the product on. + idx_dict : dictionary + Dictionary of index sizes + + Returns + ------- + ret : int + The resulting product. + + Examples + -------- + >>> _compute_size_by_dict('abbc', {'a': 2, 'b':3, 'c':5}) + 90 + + """ + ret = 1 + for i in indices: + ret *= idx_dict[i] + return ret + + +def _find_contraction(positions, input_sets, output_set): + """ + Finds the contraction for a given set of input and output sets. + + Parameters + ---------- + positions : iterable + Integer positions of terms used in the contraction. + input_sets : list + List of sets that represent the lhs side of the einsum subscript + output_set : set + Set that represents the rhs side of the overall einsum subscript + + Returns + ------- + new_result : set + The indices of the resulting contraction + remaining : list + List of sets that have not been contracted, the new set is appended to + the end of this list + idx_removed : set + Indices removed from the entire contraction + idx_contraction : set + The indices used in the current contraction + + Examples + -------- + + # A simple dot product test case + >>> pos = (0, 1) + >>> isets = [set('ab'), set('bc')] + >>> oset = set('ac') + >>> _find_contraction(pos, isets, oset) + ({'a', 'c'}, [{'a', 'c'}], {'b'}, {'a', 'b', 'c'}) + + # A more complex case with additional terms in the contraction + >>> pos = (0, 2) + >>> isets = [set('abd'), set('ac'), set('bdc')] + >>> oset = set('ac') + >>> _find_contraction(pos, isets, oset) + ({'a', 'c'}, [{'a', 'c'}, {'a', 'c'}], {'b', 'd'}, {'a', 'b', 'c', 'd'}) + """ + + idx_contract = set() + idx_remain = output_set.copy() + remaining = [] + for ind, value in enumerate(input_sets): + if ind in positions: + idx_contract |= value + else: + remaining.append(value) + idx_remain |= value + + new_result = idx_remain & idx_contract + idx_removed = (idx_contract - new_result) + remaining.append(new_result) + + return (new_result, remaining, idx_removed, idx_contract) + + +def _optimal_path(input_sets, output_set, idx_dict, memory_limit): + """ + Computes all possible pair contractions, sieves the results based + on ``memory_limit`` and returns the lowest cost path. This algorithm + scales factorial with respect to the elements in the list ``input_sets``. + + Parameters + ---------- + input_sets : list + List of sets that represent the lhs side of the einsum subscript + output_set : set + Set that represents the rhs side of the overall einsum subscript + idx_dict : dictionary + Dictionary of index sizes + memory_limit : int + The maximum number of elements in a temporary array + + Returns + ------- + path : list + The optimal contraction order within the memory limit constraint. + + Examples + -------- + >>> isets = [set('abd'), set('ac'), set('bdc')] + >>> oset = set() + >>> idx_sizes = {'a': 1, 'b':2, 'c':3, 'd':4} + >>> _optimal_path(isets, oset, idx_sizes, 5000) + [(0, 2), (0, 1)] + """ + + full_results = [(0, [], input_sets)] + for iteration in range(len(input_sets) - 1): + iter_results = [] + + # Compute all unique pairs + for curr in full_results: + cost, positions, remaining = curr + for con in itertools.combinations( + range(len(input_sets) - iteration), 2 + ): + + # Find the contraction + cont = _find_contraction(con, remaining, output_set) + new_result, new_input_sets, idx_removed, idx_contract = cont + + # Sieve the results based on memory_limit + new_size = _compute_size_by_dict(new_result, idx_dict) + if new_size > memory_limit: + continue + + # Build (total_cost, positions, indices_remaining) + total_cost = cost + _flop_count( + idx_contract, idx_removed, len(con), idx_dict + ) + new_pos = positions + [con] + iter_results.append((total_cost, new_pos, new_input_sets)) + + # Update combinatorial list, if we did not find anything return best + # path + remaining contractions + if iter_results: + full_results = iter_results + else: + path = min(full_results, key=lambda x: x[0])[1] + path += [tuple(range(len(input_sets) - iteration))] + return path + + # If we have not found anything return single einsum contraction + if len(full_results) == 0: + return [tuple(range(len(input_sets)))] + + path = min(full_results, key=lambda x: x[0])[1] + return path + +def _parse_possible_contraction( + positions, input_sets, output_set, idx_dict, + memory_limit, path_cost, naive_cost + ): + """Compute the cost (removed size + flops) and resultant indices for + performing the contraction specified by ``positions``. + + Parameters + ---------- + positions : tuple of int + The locations of the proposed tensors to contract. + input_sets : list of sets + The indices found on each tensors. + output_set : set + The output indices of the expression. + idx_dict : dict + Mapping of each index to its size. + memory_limit : int + The total allowed size for an intermediary tensor. + path_cost : int + The contraction cost so far. + naive_cost : int + The cost of the unoptimized expression. + + Returns + ------- + cost : (int, int) + A tuple containing the size of any indices removed, and the flop cost. + positions : tuple of int + The locations of the proposed tensors to contract. + new_input_sets : list of sets + The resulting new list of indices if this proposed contraction + is performed. + + """ + + # Find the contraction + contract = _find_contraction(positions, input_sets, output_set) + idx_result, new_input_sets, idx_removed, idx_contract = contract + + # Sieve the results based on memory_limit + new_size = _compute_size_by_dict(idx_result, idx_dict) + if new_size > memory_limit: + return None + + # Build sort tuple + old_sizes = ( + _compute_size_by_dict(input_sets[p], idx_dict) for p in positions + ) + removed_size = sum(old_sizes) - new_size + + # NB: removed_size used to be just the size of any removed indices i.e.: + # helpers.compute_size_by_dict(idx_removed, idx_dict) + cost = _flop_count(idx_contract, idx_removed, len(positions), idx_dict) + sort = (-removed_size, cost) + + # Sieve based on total cost as well + if (path_cost + cost) > naive_cost: + return None + + # Add contraction to possible choices + return [sort, positions, new_input_sets] + + +def _update_other_results(results, best): + """Update the positions and provisional input_sets of ``results`` + based on performing the contraction result ``best``. Remove any + involving the tensors contracted. + + Parameters + ---------- + results : list + List of contraction results produced by + ``_parse_possible_contraction``. + best : list + The best contraction of ``results`` i.e. the one that + will be performed. + + Returns + ------- + mod_results : list + The list of modified results, updated with outcome of + ``best`` contraction. + """ + + best_con = best[1] + bx, by = best_con + mod_results = [] + + for cost, (x, y), con_sets in results: + + # Ignore results involving tensors just contracted + if x in best_con or y in best_con: + continue + + # Update the input_sets + del con_sets[by - int(by > x) - int(by > y)] + del con_sets[bx - int(bx > x) - int(bx > y)] + con_sets.insert(-1, best[2][-1]) + + # Update the position indices + mod_con = x - int(x > bx) - int(x > by), y - int(y > bx) - int(y > by) + mod_results.append((cost, mod_con, con_sets)) + + return mod_results + +def _greedy_path(input_sets, output_set, idx_dict, memory_limit): + """ + Finds the path by contracting the best pair until the input list is + exhausted. The best pair is found by minimizing the tuple + ``(-prod(indices_removed), cost)``. What this amounts to is prioritizing + matrix multiplication or inner product operations, then Hadamard like + operations, and finally outer operations. Outer products are limited by + ``memory_limit``. This algorithm scales cubically with respect to the + number of elements in the list ``input_sets``. + + Parameters + ---------- + input_sets : list + List of sets that represent the lhs side of the einsum subscript + output_set : set + Set that represents the rhs side of the overall einsum subscript + idx_dict : dictionary + Dictionary of index sizes + memory_limit : int + The maximum number of elements in a temporary array + + Returns + ------- + path : list + The greedy contraction order within the memory limit constraint. + + Examples + -------- + >>> isets = [set('abd'), set('ac'), set('bdc')] + >>> oset = set() + >>> idx_sizes = {'a': 1, 'b':2, 'c':3, 'd':4} + >>> _greedy_path(isets, oset, idx_sizes, 5000) + [(0, 2), (0, 1)] + """ + + # Handle trivial cases that leaked through + if len(input_sets) == 1: + return [(0,)] + elif len(input_sets) == 2: + return [(0, 1)] + + # Build up a naive cost + contract = _find_contraction( + range(len(input_sets)), input_sets, output_set + ) + idx_result, new_input_sets, idx_removed, idx_contract = contract + naive_cost = _flop_count( + idx_contract, idx_removed, len(input_sets), idx_dict + ) + + # Initially iterate over all pairs + comb_iter = itertools.combinations(range(len(input_sets)), 2) + known_contractions = [] + + path_cost = 0 + path = [] + + for iteration in range(len(input_sets) - 1): + + # Iterate over all pairs on the first step, only previously + # found pairs on subsequent steps + for positions in comb_iter: + + # Always initially ignore outer products + if input_sets[positions[0]].isdisjoint(input_sets[positions[1]]): + continue + + result = _parse_possible_contraction( + positions, input_sets, output_set, idx_dict, + memory_limit, path_cost, naive_cost + ) + if result is not None: + known_contractions.append(result) + + # If we do not have a inner contraction, rescan pairs + # including outer products + if len(known_contractions) == 0: + + # Then check the outer products + for positions in itertools.combinations( + range(len(input_sets)), 2 + ): + result = _parse_possible_contraction( + positions, input_sets, output_set, idx_dict, + memory_limit, path_cost, naive_cost + ) + if result is not None: + known_contractions.append(result) + + # If we still did not find any remaining contractions, + # default back to einsum like behavior + if len(known_contractions) == 0: + path.append(tuple(range(len(input_sets)))) + break + + # Sort based on first index + best = min(known_contractions, key=lambda x: x[0]) + + # Now propagate as many unused contractions as possible + # to the next iteration + known_contractions = _update_other_results(known_contractions, best) + + # Next iteration only compute contractions with the new tensor + # All other contractions have been accounted for + input_sets = best[2] + new_tensor_pos = len(input_sets) - 1 + comb_iter = ((i, new_tensor_pos) for i in range(new_tensor_pos)) + + # Update path and total cost + path.append(best[1]) + path_cost += best[0][1] + + return path + + +def _can_dot(inputs, result, idx_removed): + """ + Checks if we can use BLAS (np.tensordot) call and its beneficial to do so. + + Parameters + ---------- + inputs : list of str + Specifies the subscripts for summation. + result : str + Resulting summation. + idx_removed : set + Indices that are removed in the summation + + + Returns + ------- + type : bool + Returns true if BLAS should and can be used, else False + + Notes + ----- + If the operations is BLAS level 1 or 2 and is not already aligned + we default back to einsum as the memory movement to copy is more + costly than the operation itself. + + + Examples + -------- + + # Standard GEMM operation + >>> _can_dot(['ij', 'jk'], 'ik', set('j')) + True + + # Can use the standard BLAS, but requires odd data movement + >>> _can_dot(['ijj', 'jk'], 'ik', set('j')) + False + + # DDOT where the memory is not aligned + >>> _can_dot(['ijk', 'ikj'], '', set('ijk')) + False + + """ + + # All `dot` calls remove indices + if len(idx_removed) == 0: + return False + + # BLAS can only handle two operands + if len(inputs) != 2: + return False + + input_left, input_right = inputs + + for c in set(input_left + input_right): + # can't deal with repeated indices on same input or more than 2 total + nl, nr = input_left.count(c), input_right.count(c) + if (nl > 1) or (nr > 1) or (nl + nr > 2): + return False + + # can't do implicit summation or dimension collapse e.g. + # "ab,bc->c" (implicitly sum over 'a') + # "ab,ca->ca" (take diagonal of 'a') + if nl + nr - 1 == int(c in result): + return False + + # Build a few temporaries + set_left = set(input_left) + set_right = set(input_right) + keep_left = set_left - idx_removed + keep_right = set_right - idx_removed + rs = len(idx_removed) + + # At this point we are a DOT, GEMV, or GEMM operation + + # Handle inner products + + # DDOT with aligned data + if input_left == input_right: + return True + + # DDOT without aligned data (better to use einsum) + if set_left == set_right: + return False + + # Handle the 4 possible (aligned) GEMV or GEMM cases + + # GEMM or GEMV no transpose + if input_left[-rs:] == input_right[:rs]: + return True + + # GEMM or GEMV transpose both + if input_left[:rs] == input_right[-rs:]: + return True + + # GEMM or GEMV transpose right + if input_left[-rs:] == input_right[-rs:]: + return True + + # GEMM or GEMV transpose left + if input_left[:rs] == input_right[:rs]: + return True + + # Einsum is faster than GEMV if we have to copy data + if not keep_left or not keep_right: + return False + + # We are a matrix-matrix product, but we need to copy data + return True + + +def _parse_einsum_input(operands): + """ + A reproduction of einsum c side einsum parsing in python. + + Returns + ------- + input_strings : str + Parsed input strings + output_string : str + Parsed output string + operands : list of array_like + The operands to use in the numpy contraction + + Examples + -------- + The operand list is simplified to reduce printing: + + >>> np.random.seed(123) + >>> a = np.random.rand(4, 4) + >>> b = np.random.rand(4, 4, 4) + >>> _parse_einsum_input(('...a,...a->...', a, b)) + ('za,xza', 'xz', [a, b]) # may vary + + >>> _parse_einsum_input((a, [Ellipsis, 0], b, [Ellipsis, 0])) + ('za,xza', 'xz', [a, b]) # may vary + """ + + if len(operands) == 0: + raise ValueError("No input operands") + + if isinstance(operands[0], str): + subscripts = operands[0].replace(" ", "") + operands = [asanyarray(v) for v in operands[1:]] + + # Ensure all characters are valid + for s in subscripts: + if s in '.,->': + continue + if s not in einsum_symbols: + raise ValueError("Character %s is not a valid symbol." % s) + + else: + tmp_operands = list(operands) + operand_list = [] + subscript_list = [] + for p in range(len(operands) // 2): + operand_list.append(tmp_operands.pop(0)) + subscript_list.append(tmp_operands.pop(0)) + + output_list = tmp_operands[-1] if len(tmp_operands) else None + operands = [asanyarray(v) for v in operand_list] + subscripts = "" + last = len(subscript_list) - 1 + for num, sub in enumerate(subscript_list): + for s in sub: + if s is Ellipsis: + subscripts += "..." + else: + try: + s = operator.index(s) + except TypeError as e: + raise TypeError( + "For this input type lists must contain " + "either int or Ellipsis" + ) from e + subscripts += einsum_symbols[s] + if num != last: + subscripts += "," + + if output_list is not None: + subscripts += "->" + for s in output_list: + if s is Ellipsis: + subscripts += "..." + else: + try: + s = operator.index(s) + except TypeError as e: + raise TypeError( + "For this input type lists must contain " + "either int or Ellipsis" + ) from e + subscripts += einsum_symbols[s] + # Check for proper "->" + if ("-" in subscripts) or (">" in subscripts): + invalid = (subscripts.count("-") > 1) or (subscripts.count(">") > 1) + if invalid or (subscripts.count("->") != 1): + raise ValueError("Subscripts can only contain one '->'.") + + # Parse ellipses + if "." in subscripts: + used = subscripts.replace(".", "").replace(",", "").replace("->", "") + unused = list(einsum_symbols_set - set(used)) + ellipse_inds = "".join(unused) + longest = 0 + + if "->" in subscripts: + input_tmp, output_sub = subscripts.split("->") + split_subscripts = input_tmp.split(",") + out_sub = True + else: + split_subscripts = subscripts.split(',') + out_sub = False + + for num, sub in enumerate(split_subscripts): + if "." in sub: + if (sub.count(".") != 3) or (sub.count("...") != 1): + raise ValueError("Invalid Ellipses.") + + # Take into account numerical values + if operands[num].shape == (): + ellipse_count = 0 + else: + ellipse_count = max(operands[num].ndim, 1) + ellipse_count -= (len(sub) - 3) + + if ellipse_count > longest: + longest = ellipse_count + + if ellipse_count < 0: + raise ValueError("Ellipses lengths do not match.") + elif ellipse_count == 0: + split_subscripts[num] = sub.replace('...', '') + else: + rep_inds = ellipse_inds[-ellipse_count:] + split_subscripts[num] = sub.replace('...', rep_inds) + + subscripts = ",".join(split_subscripts) + if longest == 0: + out_ellipse = "" + else: + out_ellipse = ellipse_inds[-longest:] + + if out_sub: + subscripts += "->" + output_sub.replace("...", out_ellipse) + else: + # Special care for outputless ellipses + output_subscript = "" + tmp_subscripts = subscripts.replace(",", "") + for s in sorted(set(tmp_subscripts)): + if s not in (einsum_symbols): + raise ValueError("Character %s is not a valid symbol." % s) + if tmp_subscripts.count(s) == 1: + output_subscript += s + normal_inds = ''.join(sorted(set(output_subscript) - + set(out_ellipse))) + + subscripts += "->" + out_ellipse + normal_inds + + # Build output string if does not exist + if "->" in subscripts: + input_subscripts, output_subscript = subscripts.split("->") + else: + input_subscripts = subscripts + # Build output subscripts + tmp_subscripts = subscripts.replace(",", "") + output_subscript = "" + for s in sorted(set(tmp_subscripts)): + if s not in einsum_symbols: + raise ValueError("Character %s is not a valid symbol." % s) + if tmp_subscripts.count(s) == 1: + output_subscript += s + + # Make sure output subscripts are in the input + for char in output_subscript: + if output_subscript.count(char) != 1: + raise ValueError("Output character %s appeared more than once in " + "the output." % char) + if char not in input_subscripts: + raise ValueError("Output character %s did not appear in the input" + % char) + + # Make sure number operands is equivalent to the number of terms + if len(input_subscripts.split(',')) != len(operands): + raise ValueError("Number of einsum subscripts must be equal to the " + "number of operands.") + + return (input_subscripts, output_subscript, operands) + + +def _einsum_path_dispatcher(*operands, optimize=None, einsum_call=None): + # NOTE: technically, we should only dispatch on array-like arguments, not + # subscripts (given as strings). But separating operands into + # arrays/subscripts is a little tricky/slow (given einsum's two supported + # signatures), so as a practical shortcut we dispatch on everything. + # Strings will be ignored for dispatching since they don't define + # __array_function__. + return operands + + +@array_function_dispatch(_einsum_path_dispatcher, module='numpy') +def einsum_path(*operands, optimize='greedy', einsum_call=False): + """ + einsum_path(subscripts, *operands, optimize='greedy') + + Evaluates the lowest cost contraction order for an einsum expression by + considering the creation of intermediate arrays. + + Parameters + ---------- + subscripts : str + Specifies the subscripts for summation. + *operands : list of array_like + These are the arrays for the operation. + optimize : {bool, list, tuple, 'greedy', 'optimal'} + Choose the type of path. If a tuple is provided, the second argument is + assumed to be the maximum intermediate size created. If only a single + argument is provided the largest input or output array size is used + as a maximum intermediate size. + + * if a list is given that starts with ``einsum_path``, uses this as the + contraction path + * if False no optimization is taken + * if True defaults to the 'greedy' algorithm + * 'optimal' An algorithm that combinatorially explores all possible + ways of contracting the listed tensors and chooses the least costly + path. Scales exponentially with the number of terms in the + contraction. + * 'greedy' An algorithm that chooses the best pair contraction + at each step. Effectively, this algorithm searches the largest inner, + Hadamard, and then outer products at each step. Scales cubically with + the number of terms in the contraction. Equivalent to the 'optimal' + path for most contractions. + + Default is 'greedy'. + + Returns + ------- + path : list of tuples + A list representation of the einsum path. + string_repr : str + A printable representation of the einsum path. + + Notes + ----- + The resulting path indicates which terms of the input contraction should be + contracted first, the result of this contraction is then appended to the + end of the contraction list. This list can then be iterated over until all + intermediate contractions are complete. + + See Also + -------- + einsum, linalg.multi_dot + + Examples + -------- + + We can begin with a chain dot example. In this case, it is optimal to + contract the ``b`` and ``c`` tensors first as represented by the first + element of the path ``(1, 2)``. The resulting tensor is added to the end + of the contraction and the remaining contraction ``(0, 1)`` is then + completed. + + >>> np.random.seed(123) + >>> a = np.random.rand(2, 2) + >>> b = np.random.rand(2, 5) + >>> c = np.random.rand(5, 2) + >>> path_info = np.einsum_path('ij,jk,kl->il', a, b, c, optimize='greedy') + >>> print(path_info[0]) + ['einsum_path', (1, 2), (0, 1)] + >>> print(path_info[1]) + Complete contraction: ij,jk,kl->il # may vary + Naive scaling: 4 + Optimized scaling: 3 + Naive FLOP count: 1.600e+02 + Optimized FLOP count: 5.600e+01 + Theoretical speedup: 2.857 + Largest intermediate: 4.000e+00 elements + ------------------------------------------------------------------------- + scaling current remaining + ------------------------------------------------------------------------- + 3 kl,jk->jl ij,jl->il + 3 jl,ij->il il->il + + + A more complex index transformation example. + + >>> I = np.random.rand(10, 10, 10, 10) + >>> C = np.random.rand(10, 10) + >>> path_info = np.einsum_path('ea,fb,abcd,gc,hd->efgh', C, C, I, C, C, + ... optimize='greedy') + + >>> print(path_info[0]) + ['einsum_path', (0, 2), (0, 3), (0, 2), (0, 1)] + >>> print(path_info[1]) + Complete contraction: ea,fb,abcd,gc,hd->efgh # may vary + Naive scaling: 8 + Optimized scaling: 5 + Naive FLOP count: 8.000e+08 + Optimized FLOP count: 8.000e+05 + Theoretical speedup: 1000.000 + Largest intermediate: 1.000e+04 elements + -------------------------------------------------------------------------- + scaling current remaining + -------------------------------------------------------------------------- + 5 abcd,ea->bcde fb,gc,hd,bcde->efgh + 5 bcde,fb->cdef gc,hd,cdef->efgh + 5 cdef,gc->defg hd,defg->efgh + 5 defg,hd->efgh efgh->efgh + """ + + # Figure out what the path really is + path_type = optimize + if path_type is True: + path_type = 'greedy' + if path_type is None: + path_type = False + + explicit_einsum_path = False + memory_limit = None + + # No optimization or a named path algorithm + if (path_type is False) or isinstance(path_type, str): + pass + + # Given an explicit path + elif len(path_type) and (path_type[0] == 'einsum_path'): + explicit_einsum_path = True + + # Path tuple with memory limit + elif ((len(path_type) == 2) and isinstance(path_type[0], str) and + isinstance(path_type[1], (int, float))): + memory_limit = int(path_type[1]) + path_type = path_type[0] + + else: + raise TypeError("Did not understand the path: %s" % str(path_type)) + + # Hidden option, only einsum should call this + einsum_call_arg = einsum_call + + # Python side parsing + input_subscripts, output_subscript, operands = ( + _parse_einsum_input(operands) + ) + + # Build a few useful list and sets + input_list = input_subscripts.split(',') + input_sets = [set(x) for x in input_list] + output_set = set(output_subscript) + indices = set(input_subscripts.replace(',', '')) + + # Get length of each unique dimension and ensure all dimensions are correct + dimension_dict = {} + broadcast_indices = [[] for x in range(len(input_list))] + for tnum, term in enumerate(input_list): + sh = operands[tnum].shape + if len(sh) != len(term): + raise ValueError("Einstein sum subscript %s does not contain the " + "correct number of indices for operand %d." + % (input_subscripts[tnum], tnum)) + for cnum, char in enumerate(term): + dim = sh[cnum] + + # Build out broadcast indices + if dim == 1: + broadcast_indices[tnum].append(char) + + if char in dimension_dict.keys(): + # For broadcasting cases we always want the largest dim size + if dimension_dict[char] == 1: + dimension_dict[char] = dim + elif dim not in (1, dimension_dict[char]): + raise ValueError("Size of label '%s' for operand %d (%d) " + "does not match previous terms (%d)." + % (char, tnum, dimension_dict[char], dim)) + else: + dimension_dict[char] = dim + + # Convert broadcast inds to sets + broadcast_indices = [set(x) for x in broadcast_indices] + + # Compute size of each input array plus the output array + size_list = [_compute_size_by_dict(term, dimension_dict) + for term in input_list + [output_subscript]] + max_size = max(size_list) + + if memory_limit is None: + memory_arg = max_size + else: + memory_arg = memory_limit + + # Compute naive cost + # This isn't quite right, need to look into exactly how einsum does this + inner_product = (sum(len(x) for x in input_sets) - len(indices)) > 0 + naive_cost = _flop_count( + indices, inner_product, len(input_list), dimension_dict + ) + + # Compute the path + if explicit_einsum_path: + path = path_type[1:] + elif ( + (path_type is False) + or (len(input_list) in [1, 2]) + or (indices == output_set) + ): + # Nothing to be optimized, leave it to einsum + path = [tuple(range(len(input_list)))] + elif path_type == "greedy": + path = _greedy_path( + input_sets, output_set, dimension_dict, memory_arg + ) + elif path_type == "optimal": + path = _optimal_path( + input_sets, output_set, dimension_dict, memory_arg + ) + else: + raise KeyError("Path name %s not found", path_type) + + cost_list, scale_list, size_list, contraction_list = [], [], [], [] + + # Build contraction tuple (positions, gemm, einsum_str, remaining) + for cnum, contract_inds in enumerate(path): + # Make sure we remove inds from right to left + contract_inds = tuple(sorted(contract_inds, reverse=True)) + + contract = _find_contraction(contract_inds, input_sets, output_set) + out_inds, input_sets, idx_removed, idx_contract = contract + + cost = _flop_count( + idx_contract, idx_removed, len(contract_inds), dimension_dict + ) + cost_list.append(cost) + scale_list.append(len(idx_contract)) + size_list.append(_compute_size_by_dict(out_inds, dimension_dict)) + + bcast = set() + tmp_inputs = [] + for x in contract_inds: + tmp_inputs.append(input_list.pop(x)) + bcast |= broadcast_indices.pop(x) + + new_bcast_inds = bcast - idx_removed + + # If we're broadcasting, nix blas + if not len(idx_removed & bcast): + do_blas = _can_dot(tmp_inputs, out_inds, idx_removed) + else: + do_blas = False + + # Last contraction + if (cnum - len(path)) == -1: + idx_result = output_subscript + else: + sort_result = [(dimension_dict[ind], ind) for ind in out_inds] + idx_result = "".join([x[1] for x in sorted(sort_result)]) + + input_list.append(idx_result) + broadcast_indices.append(new_bcast_inds) + einsum_str = ",".join(tmp_inputs) + "->" + idx_result + + contraction = ( + contract_inds, idx_removed, einsum_str, input_list[:], do_blas + ) + contraction_list.append(contraction) + + opt_cost = sum(cost_list) + 1 + + if len(input_list) != 1: + # Explicit "einsum_path" is usually trusted, but we detect this kind of + # mistake in order to prevent from returning an intermediate value. + raise RuntimeError( + "Invalid einsum_path is specified: {} more operands has to be " + "contracted.".format(len(input_list) - 1)) + + if einsum_call_arg: + return (operands, contraction_list) + + # Return the path along with a nice string representation + overall_contraction = input_subscripts + "->" + output_subscript + header = ("scaling", "current", "remaining") + + speedup = naive_cost / opt_cost + max_i = max(size_list) + + path_print = " Complete contraction: %s\n" % overall_contraction + path_print += " Naive scaling: %d\n" % len(indices) + path_print += " Optimized scaling: %d\n" % max(scale_list) + path_print += " Naive FLOP count: %.3e\n" % naive_cost + path_print += " Optimized FLOP count: %.3e\n" % opt_cost + path_print += " Theoretical speedup: %3.3f\n" % speedup + path_print += " Largest intermediate: %.3e elements\n" % max_i + path_print += "-" * 74 + "\n" + path_print += "%6s %24s %40s\n" % header + path_print += "-" * 74 + + for n, contraction in enumerate(contraction_list): + inds, idx_rm, einsum_str, remaining, blas = contraction + remaining_str = ",".join(remaining) + "->" + output_subscript + path_run = (scale_list[n], einsum_str, remaining_str) + path_print += "\n%4d %24s %40s" % path_run + + path = ['einsum_path'] + path + return (path, path_print) + + +def _einsum_dispatcher(*operands, out=None, optimize=None, **kwargs): + # Arguably we dispatch on more arguments than we really should; see note in + # _einsum_path_dispatcher for why. + yield from operands + yield out + + +# Rewrite einsum to handle different cases +@array_function_dispatch(_einsum_dispatcher, module='numpy') +def einsum(*operands, out=None, optimize=False, **kwargs): + """ + einsum(subscripts, *operands, out=None, dtype=None, order='K', + casting='safe', optimize=False) + + Evaluates the Einstein summation convention on the operands. + + Using the Einstein summation convention, many common multi-dimensional, + linear algebraic array operations can be represented in a simple fashion. + In *implicit* mode `einsum` computes these values. + + In *explicit* mode, `einsum` provides further flexibility to compute + other array operations that might not be considered classical Einstein + summation operations, by disabling, or forcing summation over specified + subscript labels. + + See the notes and examples for clarification. + + Parameters + ---------- + subscripts : str + Specifies the subscripts for summation as comma separated list of + subscript labels. An implicit (classical Einstein summation) + calculation is performed unless the explicit indicator '->' is + included as well as subscript labels of the precise output form. + operands : list of array_like + These are the arrays for the operation. + out : ndarray, optional + If provided, the calculation is done into this array. + dtype : {data-type, None}, optional + If provided, forces the calculation to use the data type specified. + Note that you may have to also give a more liberal `casting` + parameter to allow the conversions. Default is None. + order : {'C', 'F', 'A', 'K'}, optional + Controls the memory layout of the output. 'C' means it should + be C contiguous. 'F' means it should be Fortran contiguous, + 'A' means it should be 'F' if the inputs are all 'F', 'C' otherwise. + 'K' means it should be as close to the layout as the inputs as + is possible, including arbitrarily permuted axes. + Default is 'K'. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. Setting this to + 'unsafe' is not recommended, as it can adversely affect accumulations. + + * 'no' means the data types should not be cast at all. + * 'equiv' means only byte-order changes are allowed. + * 'safe' means only casts which can preserve values are allowed. + * 'same_kind' means only safe casts or casts within a kind, + like float64 to float32, are allowed. + * 'unsafe' means any data conversions may be done. + + Default is 'safe'. + optimize : {False, True, 'greedy', 'optimal'}, optional + Controls if intermediate optimization should occur. No optimization + will occur if False and True will default to the 'greedy' algorithm. + Also accepts an explicit contraction list from the ``np.einsum_path`` + function. See ``np.einsum_path`` for more details. Defaults to False. + + Returns + ------- + output : ndarray + The calculation based on the Einstein summation convention. + + See Also + -------- + einsum_path, dot, inner, outer, tensordot, linalg.multi_dot + einsum: + Similar verbose interface is provided by the + `einops `_ package to cover + additional operations: transpose, reshape/flatten, repeat/tile, + squeeze/unsqueeze and reductions. + The `opt_einsum `_ + optimizes contraction order for einsum-like expressions + in backend-agnostic manner. + + Notes + ----- + The Einstein summation convention can be used to compute + many multi-dimensional, linear algebraic array operations. `einsum` + provides a succinct way of representing these. + + A non-exhaustive list of these operations, + which can be computed by `einsum`, is shown below along with examples: + + * Trace of an array, :py:func:`numpy.trace`. + * Return a diagonal, :py:func:`numpy.diag`. + * Array axis summations, :py:func:`numpy.sum`. + * Transpositions and permutations, :py:func:`numpy.transpose`. + * Matrix multiplication and dot product, :py:func:`numpy.matmul` + :py:func:`numpy.dot`. + * Vector inner and outer products, :py:func:`numpy.inner` + :py:func:`numpy.outer`. + * Broadcasting, element-wise and scalar multiplication, + :py:func:`numpy.multiply`. + * Tensor contractions, :py:func:`numpy.tensordot`. + * Chained array operations, in efficient calculation order, + :py:func:`numpy.einsum_path`. + + The subscripts string is a comma-separated list of subscript labels, + where each label refers to a dimension of the corresponding operand. + Whenever a label is repeated it is summed, so ``np.einsum('i,i', a, b)`` + is equivalent to :py:func:`np.inner(a,b) `. If a label + appears only once, it is not summed, so ``np.einsum('i', a)`` + produces a view of ``a`` with no changes. A further example + ``np.einsum('ij,jk', a, b)`` describes traditional matrix multiplication + and is equivalent to :py:func:`np.matmul(a,b) `. + Repeated subscript labels in one operand take the diagonal. + For example, ``np.einsum('ii', a)`` is equivalent to + :py:func:`np.trace(a) `. + + In *implicit mode*, the chosen subscripts are important + since the axes of the output are reordered alphabetically. This + means that ``np.einsum('ij', a)`` doesn't affect a 2D array, while + ``np.einsum('ji', a)`` takes its transpose. Additionally, + ``np.einsum('ij,jk', a, b)`` returns a matrix multiplication, while, + ``np.einsum('ij,jh', a, b)`` returns the transpose of the + multiplication since subscript 'h' precedes subscript 'i'. + + In *explicit mode* the output can be directly controlled by + specifying output subscript labels. This requires the + identifier '->' as well as the list of output subscript labels. + This feature increases the flexibility of the function since + summing can be disabled or forced when required. The call + ``np.einsum('i->', a)`` is like :py:func:`np.sum(a) ` + if ``a`` is a 1-D array, and ``np.einsum('ii->i', a)`` + is like :py:func:`np.diag(a) ` if ``a`` is a square 2-D array. + The difference is that `einsum` does not allow broadcasting by default. + Additionally ``np.einsum('ij,jh->ih', a, b)`` directly specifies the + order of the output subscript labels and therefore returns matrix + multiplication, unlike the example above in implicit mode. + + To enable and control broadcasting, use an ellipsis. Default + NumPy-style broadcasting is done by adding an ellipsis + to the left of each term, like ``np.einsum('...ii->...i', a)``. + ``np.einsum('...i->...', a)`` is like + :py:func:`np.sum(a, axis=-1) ` for array ``a`` of any shape. + To take the trace along the first and last axes, + you can do ``np.einsum('i...i', a)``, or to do a matrix-matrix + product with the left-most indices instead of rightmost, one can do + ``np.einsum('ij...,jk...->ik...', a, b)``. + + When there is only one operand, no axes are summed, and no output + parameter is provided, a view into the operand is returned instead + of a new array. Thus, taking the diagonal as ``np.einsum('ii->i', a)`` + produces a view (changed in version 1.10.0). + + `einsum` also provides an alternative way to provide the subscripts and + operands as ``einsum(op0, sublist0, op1, sublist1, ..., [sublistout])``. + If the output shape is not provided in this format `einsum` will be + calculated in implicit mode, otherwise it will be performed explicitly. + The examples below have corresponding `einsum` calls with the two + parameter methods. + + Views returned from einsum are now writeable whenever the input array + is writeable. For example, ``np.einsum('ijk...->kji...', a)`` will now + have the same effect as :py:func:`np.swapaxes(a, 0, 2) ` + and ``np.einsum('ii->i', a)`` will return a writeable view of the diagonal + of a 2D array. + + Added the ``optimize`` argument which will optimize the contraction order + of an einsum expression. For a contraction with three or more operands + this can greatly increase the computational efficiency at the cost of + a larger memory footprint during computation. + + Typically a 'greedy' algorithm is applied which empirical tests have shown + returns the optimal path in the majority of cases. In some cases 'optimal' + will return the superlative path through a more expensive, exhaustive + search. For iterative calculations it may be advisable to calculate + the optimal path once and reuse that path by supplying it as an argument. + An example is given below. + + See :py:func:`numpy.einsum_path` for more details. + + Examples + -------- + >>> a = np.arange(25).reshape(5,5) + >>> b = np.arange(5) + >>> c = np.arange(6).reshape(2,3) + + Trace of a matrix: + + >>> np.einsum('ii', a) + 60 + >>> np.einsum(a, [0,0]) + 60 + >>> np.trace(a) + 60 + + Extract the diagonal (requires explicit form): + + >>> np.einsum('ii->i', a) + array([ 0, 6, 12, 18, 24]) + >>> np.einsum(a, [0,0], [0]) + array([ 0, 6, 12, 18, 24]) + >>> np.diag(a) + array([ 0, 6, 12, 18, 24]) + + Sum over an axis (requires explicit form): + + >>> np.einsum('ij->i', a) + array([ 10, 35, 60, 85, 110]) + >>> np.einsum(a, [0,1], [0]) + array([ 10, 35, 60, 85, 110]) + >>> np.sum(a, axis=1) + array([ 10, 35, 60, 85, 110]) + + For higher dimensional arrays summing a single axis can be done + with ellipsis: + + >>> np.einsum('...j->...', a) + array([ 10, 35, 60, 85, 110]) + >>> np.einsum(a, [Ellipsis,1], [Ellipsis]) + array([ 10, 35, 60, 85, 110]) + + Compute a matrix transpose, or reorder any number of axes: + + >>> np.einsum('ji', c) + array([[0, 3], + [1, 4], + [2, 5]]) + >>> np.einsum('ij->ji', c) + array([[0, 3], + [1, 4], + [2, 5]]) + >>> np.einsum(c, [1,0]) + array([[0, 3], + [1, 4], + [2, 5]]) + >>> np.transpose(c) + array([[0, 3], + [1, 4], + [2, 5]]) + + Vector inner products: + + >>> np.einsum('i,i', b, b) + 30 + >>> np.einsum(b, [0], b, [0]) + 30 + >>> np.inner(b,b) + 30 + + Matrix vector multiplication: + + >>> np.einsum('ij,j', a, b) + array([ 30, 80, 130, 180, 230]) + >>> np.einsum(a, [0,1], b, [1]) + array([ 30, 80, 130, 180, 230]) + >>> np.dot(a, b) + array([ 30, 80, 130, 180, 230]) + >>> np.einsum('...j,j', a, b) + array([ 30, 80, 130, 180, 230]) + + Broadcasting and scalar multiplication: + + >>> np.einsum('..., ...', 3, c) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + >>> np.einsum(',ij', 3, c) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + >>> np.einsum(3, [Ellipsis], c, [Ellipsis]) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + >>> np.multiply(3, c) + array([[ 0, 3, 6], + [ 9, 12, 15]]) + + Vector outer product: + + >>> np.einsum('i,j', np.arange(2)+1, b) + array([[0, 1, 2, 3, 4], + [0, 2, 4, 6, 8]]) + >>> np.einsum(np.arange(2)+1, [0], b, [1]) + array([[0, 1, 2, 3, 4], + [0, 2, 4, 6, 8]]) + >>> np.outer(np.arange(2)+1, b) + array([[0, 1, 2, 3, 4], + [0, 2, 4, 6, 8]]) + + Tensor contraction: + + >>> a = np.arange(60.).reshape(3,4,5) + >>> b = np.arange(24.).reshape(4,3,2) + >>> np.einsum('ijk,jil->kl', a, b) + array([[4400., 4730.], + [4532., 4874.], + [4664., 5018.], + [4796., 5162.], + [4928., 5306.]]) + >>> np.einsum(a, [0,1,2], b, [1,0,3], [2,3]) + array([[4400., 4730.], + [4532., 4874.], + [4664., 5018.], + [4796., 5162.], + [4928., 5306.]]) + >>> np.tensordot(a,b, axes=([1,0],[0,1])) + array([[4400., 4730.], + [4532., 4874.], + [4664., 5018.], + [4796., 5162.], + [4928., 5306.]]) + + Writeable returned arrays (since version 1.10.0): + + >>> a = np.zeros((3, 3)) + >>> np.einsum('ii->i', a)[:] = 1 + >>> a + array([[1., 0., 0.], + [0., 1., 0.], + [0., 0., 1.]]) + + Example of ellipsis use: + + >>> a = np.arange(6).reshape((3,2)) + >>> b = np.arange(12).reshape((4,3)) + >>> np.einsum('ki,jk->ij', a, b) + array([[10, 28, 46, 64], + [13, 40, 67, 94]]) + >>> np.einsum('ki,...k->i...', a, b) + array([[10, 28, 46, 64], + [13, 40, 67, 94]]) + >>> np.einsum('k...,jk', a, b) + array([[10, 28, 46, 64], + [13, 40, 67, 94]]) + + Chained array operations. For more complicated contractions, speed ups + might be achieved by repeatedly computing a 'greedy' path or pre-computing + the 'optimal' path and repeatedly applying it, using an `einsum_path` + insertion (since version 1.12.0). Performance improvements can be + particularly significant with larger arrays: + + >>> a = np.ones(64).reshape(2,4,8) + + Basic `einsum`: ~1520ms (benchmarked on 3.1GHz Intel i5.) + + >>> for iteration in range(500): + ... _ = np.einsum('ijk,ilm,njm,nlk,abc->',a,a,a,a,a) + + Sub-optimal `einsum` (due to repeated path calculation time): ~330ms + + >>> for iteration in range(500): + ... _ = np.einsum('ijk,ilm,njm,nlk,abc->',a,a,a,a,a, + ... optimize='optimal') + + Greedy `einsum` (faster optimal path approximation): ~160ms + + >>> for iteration in range(500): + ... _ = np.einsum('ijk,ilm,njm,nlk,abc->',a,a,a,a,a, optimize='greedy') + + Optimal `einsum` (best usage pattern in some use cases): ~110ms + + >>> path = np.einsum_path('ijk,ilm,njm,nlk,abc->',a,a,a,a,a, + ... optimize='optimal')[0] + >>> for iteration in range(500): + ... _ = np.einsum('ijk,ilm,njm,nlk,abc->',a,a,a,a,a, optimize=path) + + """ + # Special handling if out is specified + specified_out = out is not None + + # If no optimization, run pure einsum + if optimize is False: + if specified_out: + kwargs['out'] = out + return c_einsum(*operands, **kwargs) + + # Check the kwargs to avoid a more cryptic error later, without having to + # repeat default values here + valid_einsum_kwargs = ['dtype', 'order', 'casting'] + unknown_kwargs = [k for (k, v) in kwargs.items() if + k not in valid_einsum_kwargs] + if len(unknown_kwargs): + raise TypeError("Did not understand the following kwargs: %s" + % unknown_kwargs) + + # Build the contraction list and operand + operands, contraction_list = einsum_path(*operands, optimize=optimize, + einsum_call=True) + + # Handle order kwarg for output array, c_einsum allows mixed case + output_order = kwargs.pop('order', 'K') + if output_order.upper() == 'A': + if all(arr.flags.f_contiguous for arr in operands): + output_order = 'F' + else: + output_order = 'C' + + # Start contraction loop + for num, contraction in enumerate(contraction_list): + inds, idx_rm, einsum_str, remaining, blas = contraction + tmp_operands = [operands.pop(x) for x in inds] + + # Do we need to deal with the output? + handle_out = specified_out and ((num + 1) == len(contraction_list)) + + # Call tensordot if still possible + if blas: + # Checks have already been handled + input_str, results_index = einsum_str.split('->') + input_left, input_right = input_str.split(',') + + tensor_result = input_left + input_right + for s in idx_rm: + tensor_result = tensor_result.replace(s, "") + + # Find indices to contract over + left_pos, right_pos = [], [] + for s in sorted(idx_rm): + left_pos.append(input_left.find(s)) + right_pos.append(input_right.find(s)) + + # Contract! + new_view = tensordot( + *tmp_operands, axes=(tuple(left_pos), tuple(right_pos)) + ) + + # Build a new view if needed + if (tensor_result != results_index) or handle_out: + if handle_out: + kwargs["out"] = out + new_view = c_einsum( + tensor_result + '->' + results_index, new_view, **kwargs + ) + + # Call einsum + else: + # If out was specified + if handle_out: + kwargs["out"] = out + + # Do the contraction + new_view = c_einsum(einsum_str, *tmp_operands, **kwargs) + + # Append new items and dereference what we can + operands.append(new_view) + del tmp_operands, new_view + + if specified_out: + return out + else: + return asanyarray(operands[0], order=output_order) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/einsumfunc.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/einsumfunc.pyi new file mode 100644 index 0000000000000000000000000000000000000000..00629a478c25a69749ff4479570123891e49d392 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/einsumfunc.pyi @@ -0,0 +1,185 @@ +from collections.abc import Sequence +from typing import TypeAlias, TypeVar, Any, overload, Literal + +import numpy as np +from numpy import number, _OrderKACF +from numpy._typing import ( + NDArray, + _ArrayLikeBool_co, + _ArrayLikeUInt_co, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeObject_co, + _DTypeLikeBool, + _DTypeLikeUInt, + _DTypeLikeInt, + _DTypeLikeFloat, + _DTypeLikeComplex, + _DTypeLikeComplex_co, + _DTypeLikeObject, +) + +__all__ = ["einsum", "einsum_path"] + +_ArrayType = TypeVar( + "_ArrayType", + bound=NDArray[np.bool | number[Any]], +) + +_OptimizeKind: TypeAlias = bool | Literal["greedy", "optimal"] | Sequence[Any] | None +_CastingSafe: TypeAlias = Literal["no", "equiv", "safe", "same_kind"] +_CastingUnsafe: TypeAlias = Literal["unsafe"] + + +# TODO: Properly handle the `casting`-based combinatorics +# TODO: We need to evaluate the content `__subscripts` in order +# to identify whether or an array or scalar is returned. At a cursory +# glance this seems like something that can quite easily be done with +# a mypy plugin. +# Something like `is_scalar = bool(__subscripts.partition("->")[-1])` +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeBool_co, + out: None = ..., + dtype: None | _DTypeLikeBool = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeUInt_co, + out: None = ..., + dtype: None | _DTypeLikeUInt = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeInt_co, + out: None = ..., + dtype: None | _DTypeLikeInt = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeFloat_co, + out: None = ..., + dtype: None | _DTypeLikeFloat = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeComplex_co, + out: None = ..., + dtype: None | _DTypeLikeComplex = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: Any, + casting: _CastingUnsafe, + dtype: None | _DTypeLikeComplex_co = ..., + out: None = ..., + order: _OrderKACF = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeComplex_co, + out: _ArrayType, + dtype: None | _DTypeLikeComplex_co = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> _ArrayType: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: Any, + out: _ArrayType, + casting: _CastingUnsafe, + dtype: None | _DTypeLikeComplex_co = ..., + order: _OrderKACF = ..., + optimize: _OptimizeKind = ..., +) -> _ArrayType: ... + +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeObject_co, + out: None = ..., + dtype: None | _DTypeLikeObject = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: Any, + casting: _CastingUnsafe, + dtype: None | _DTypeLikeObject = ..., + out: None = ..., + order: _OrderKACF = ..., + optimize: _OptimizeKind = ..., +) -> Any: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeObject_co, + out: _ArrayType, + dtype: None | _DTypeLikeObject = ..., + order: _OrderKACF = ..., + casting: _CastingSafe = ..., + optimize: _OptimizeKind = ..., +) -> _ArrayType: ... +@overload +def einsum( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: Any, + out: _ArrayType, + casting: _CastingUnsafe, + dtype: None | _DTypeLikeObject = ..., + order: _OrderKACF = ..., + optimize: _OptimizeKind = ..., +) -> _ArrayType: ... + +# NOTE: `einsum_call` is a hidden kwarg unavailable for public use. +# It is therefore excluded from the signatures below. +# NOTE: In practice the list consists of a `str` (first element) +# and a variable number of integer tuples. +def einsum_path( + subscripts: str | _ArrayLikeInt_co, + /, + *operands: _ArrayLikeComplex_co | _DTypeLikeObject, + optimize: _OptimizeKind = "greedy", + einsum_call: Literal[False] = False, +) -> tuple[list[Any], str]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/fromnumeric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/fromnumeric.py new file mode 100644 index 0000000000000000000000000000000000000000..202bcde9e5701e4f98a540af31b87f4b57e6b2c1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/fromnumeric.py @@ -0,0 +1,4269 @@ +"""Module containing non-deprecated functions borrowed from Numeric. + +""" +import functools +import types +import warnings + +import numpy as np +from .._utils import set_module +from . import multiarray as mu +from . import overrides +from . import umath as um +from . import numerictypes as nt +from .multiarray import asarray, array, asanyarray, concatenate +from ._multiarray_umath import _array_converter +from . import _methods + +_dt_ = nt.sctype2char + +# functions that are methods +__all__ = [ + 'all', 'amax', 'amin', 'any', 'argmax', + 'argmin', 'argpartition', 'argsort', 'around', 'choose', 'clip', + 'compress', 'cumprod', 'cumsum', 'cumulative_prod', 'cumulative_sum', + 'diagonal', 'mean', 'max', 'min', 'matrix_transpose', + 'ndim', 'nonzero', 'partition', 'prod', 'ptp', 'put', + 'ravel', 'repeat', 'reshape', 'resize', 'round', + 'searchsorted', 'shape', 'size', 'sort', 'squeeze', + 'std', 'sum', 'swapaxes', 'take', 'trace', 'transpose', 'var', +] + +_gentype = types.GeneratorType +# save away Python sum +_sum_ = sum + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +# functions that are now methods +def _wrapit(obj, method, *args, **kwds): + conv = _array_converter(obj) + # As this already tried the method, subok is maybe quite reasonable here + # but this follows what was done before. TODO: revisit this. + arr, = conv.as_arrays(subok=False) + result = getattr(arr, method)(*args, **kwds) + + return conv.wrap(result, to_scalar=False) + + +def _wrapfunc(obj, method, *args, **kwds): + bound = getattr(obj, method, None) + if bound is None: + return _wrapit(obj, method, *args, **kwds) + + try: + return bound(*args, **kwds) + except TypeError: + # A TypeError occurs if the object does have such a method in its + # class, but its signature is not identical to that of NumPy's. This + # situation has occurred in the case of a downstream library like + # 'pandas'. + # + # Call _wrapit from within the except clause to ensure a potential + # exception has a traceback chain. + return _wrapit(obj, method, *args, **kwds) + + +def _wrapreduction(obj, ufunc, method, axis, dtype, out, **kwargs): + passkwargs = {k: v for k, v in kwargs.items() + if v is not np._NoValue} + + if type(obj) is not mu.ndarray: + try: + reduction = getattr(obj, method) + except AttributeError: + pass + else: + # This branch is needed for reductions like any which don't + # support a dtype. + if dtype is not None: + return reduction(axis=axis, dtype=dtype, out=out, **passkwargs) + else: + return reduction(axis=axis, out=out, **passkwargs) + + return ufunc.reduce(obj, axis, dtype, out, **passkwargs) + + +def _wrapreduction_any_all(obj, ufunc, method, axis, out, **kwargs): + # Same as above function, but dtype is always bool (but never passed on) + passkwargs = {k: v for k, v in kwargs.items() + if v is not np._NoValue} + + if type(obj) is not mu.ndarray: + try: + reduction = getattr(obj, method) + except AttributeError: + pass + else: + return reduction(axis=axis, out=out, **passkwargs) + + return ufunc.reduce(obj, axis, bool, out, **passkwargs) + + +def _take_dispatcher(a, indices, axis=None, out=None, mode=None): + return (a, out) + + +@array_function_dispatch(_take_dispatcher) +def take(a, indices, axis=None, out=None, mode='raise'): + """ + Take elements from an array along an axis. + + When axis is not None, this function does the same thing as "fancy" + indexing (indexing arrays using arrays); however, it can be easier to use + if you need elements along a given axis. A call such as + ``np.take(arr, indices, axis=3)`` is equivalent to + ``arr[:,:,:,indices,...]``. + + Explained without fancy indexing, this is equivalent to the following use + of `ndindex`, which sets each of ``ii``, ``jj``, and ``kk`` to a tuple of + indices:: + + Ni, Nk = a.shape[:axis], a.shape[axis+1:] + Nj = indices.shape + for ii in ndindex(Ni): + for jj in ndindex(Nj): + for kk in ndindex(Nk): + out[ii + jj + kk] = a[ii + (indices[jj],) + kk] + + Parameters + ---------- + a : array_like (Ni..., M, Nk...) + The source array. + indices : array_like (Nj...) + The indices of the values to extract. + Also allow scalars for indices. + axis : int, optional + The axis over which to select values. By default, the flattened + input array is used. + out : ndarray, optional (Ni..., Nj..., Nk...) + If provided, the result will be placed in this array. It should + be of the appropriate shape and dtype. Note that `out` is always + buffered if `mode='raise'`; use other modes for better performance. + mode : {'raise', 'wrap', 'clip'}, optional + Specifies how out-of-bounds indices will behave. + + * 'raise' -- raise an error (default) + * 'wrap' -- wrap around + * 'clip' -- clip to the range + + 'clip' mode means that all indices that are too large are replaced + by the index that addresses the last element along that axis. Note + that this disables indexing with negative numbers. + + Returns + ------- + out : ndarray (Ni..., Nj..., Nk...) + The returned array has the same type as `a`. + + See Also + -------- + compress : Take elements using a boolean mask + ndarray.take : equivalent method + take_along_axis : Take elements by matching the array and the index arrays + + Notes + ----- + By eliminating the inner loop in the description above, and using `s_` to + build simple slice objects, `take` can be expressed in terms of applying + fancy indexing to each 1-d slice:: + + Ni, Nk = a.shape[:axis], a.shape[axis+1:] + for ii in ndindex(Ni): + for kk in ndindex(Nj): + out[ii + s_[...,] + kk] = a[ii + s_[:,] + kk][indices] + + For this reason, it is equivalent to (but faster than) the following use + of `apply_along_axis`:: + + out = np.apply_along_axis(lambda a_1d: a_1d[indices], axis, a) + + Examples + -------- + >>> import numpy as np + >>> a = [4, 3, 5, 7, 6, 8] + >>> indices = [0, 1, 4] + >>> np.take(a, indices) + array([4, 3, 6]) + + In this example if `a` is an ndarray, "fancy" indexing can be used. + + >>> a = np.array(a) + >>> a[indices] + array([4, 3, 6]) + + If `indices` is not one dimensional, the output also has these dimensions. + + >>> np.take(a, [[0, 1], [2, 3]]) + array([[4, 3], + [5, 7]]) + """ + return _wrapfunc(a, 'take', indices, axis=axis, out=out, mode=mode) + + +def _reshape_dispatcher(a, /, shape=None, order=None, *, newshape=None, + copy=None): + return (a,) + + +@array_function_dispatch(_reshape_dispatcher) +def reshape(a, /, shape=None, order='C', *, newshape=None, copy=None): + """ + Gives a new shape to an array without changing its data. + + Parameters + ---------- + a : array_like + Array to be reshaped. + shape : int or tuple of ints + The new shape should be compatible with the original shape. If + an integer, then the result will be a 1-D array of that length. + One shape dimension can be -1. In this case, the value is + inferred from the length of the array and remaining dimensions. + order : {'C', 'F', 'A'}, optional + Read the elements of ``a`` using this index order, and place the + elements into the reshaped array using this index order. 'C' + means to read / write the elements using C-like index order, + with the last axis index changing fastest, back to the first + axis index changing slowest. 'F' means to read / write the + elements using Fortran-like index order, with the first index + changing fastest, and the last index changing slowest. Note that + the 'C' and 'F' options take no account of the memory layout of + the underlying array, and only refer to the order of indexing. + 'A' means to read / write the elements in Fortran-like index + order if ``a`` is Fortran *contiguous* in memory, C-like order + otherwise. + newshape : int or tuple of ints + .. deprecated:: 2.1 + Replaced by ``shape`` argument. Retained for backward + compatibility. + copy : bool, optional + If ``True``, then the array data is copied. If ``None``, a copy will + only be made if it's required by ``order``. For ``False`` it raises + a ``ValueError`` if a copy cannot be avoided. Default: ``None``. + + Returns + ------- + reshaped_array : ndarray + This will be a new view object if possible; otherwise, it will + be a copy. Note there is no guarantee of the *memory layout* (C- or + Fortran- contiguous) of the returned array. + + See Also + -------- + ndarray.reshape : Equivalent method. + + Notes + ----- + It is not always possible to change the shape of an array without copying + the data. + + The ``order`` keyword gives the index ordering both for *fetching* + the values from ``a``, and then *placing* the values into the output + array. For example, let's say you have an array: + + >>> a = np.arange(6).reshape((3, 2)) + >>> a + array([[0, 1], + [2, 3], + [4, 5]]) + + You can think of reshaping as first raveling the array (using the given + index order), then inserting the elements from the raveled array into the + new array using the same kind of index ordering as was used for the + raveling. + + >>> np.reshape(a, (2, 3)) # C-like index ordering + array([[0, 1, 2], + [3, 4, 5]]) + >>> np.reshape(np.ravel(a), (2, 3)) # equivalent to C ravel then C reshape + array([[0, 1, 2], + [3, 4, 5]]) + >>> np.reshape(a, (2, 3), order='F') # Fortran-like index ordering + array([[0, 4, 3], + [2, 1, 5]]) + >>> np.reshape(np.ravel(a, order='F'), (2, 3), order='F') + array([[0, 4, 3], + [2, 1, 5]]) + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1,2,3], [4,5,6]]) + >>> np.reshape(a, 6) + array([1, 2, 3, 4, 5, 6]) + >>> np.reshape(a, 6, order='F') + array([1, 4, 2, 5, 3, 6]) + + >>> np.reshape(a, (3,-1)) # the unspecified value is inferred to be 2 + array([[1, 2], + [3, 4], + [5, 6]]) + """ + if newshape is None and shape is None: + raise TypeError( + "reshape() missing 1 required positional argument: 'shape'") + if newshape is not None: + if shape is not None: + raise TypeError( + "You cannot specify 'newshape' and 'shape' arguments " + "at the same time.") + # Deprecated in NumPy 2.1, 2024-04-18 + warnings.warn( + "`newshape` keyword argument is deprecated, " + "use `shape=...` or pass shape positionally instead. " + "(deprecated in NumPy 2.1)", + DeprecationWarning, + stacklevel=2, + ) + shape = newshape + if copy is not None: + return _wrapfunc(a, 'reshape', shape, order=order, copy=copy) + return _wrapfunc(a, 'reshape', shape, order=order) + + +def _choose_dispatcher(a, choices, out=None, mode=None): + yield a + yield from choices + yield out + + +@array_function_dispatch(_choose_dispatcher) +def choose(a, choices, out=None, mode='raise'): + """ + Construct an array from an index array and a list of arrays to choose from. + + First of all, if confused or uncertain, definitely look at the Examples - + in its full generality, this function is less simple than it might + seem from the following code description:: + + np.choose(a,c) == np.array([c[a[I]][I] for I in np.ndindex(a.shape)]) + + But this omits some subtleties. Here is a fully general summary: + + Given an "index" array (`a`) of integers and a sequence of ``n`` arrays + (`choices`), `a` and each choice array are first broadcast, as necessary, + to arrays of a common shape; calling these *Ba* and *Bchoices[i], i = + 0,...,n-1* we have that, necessarily, ``Ba.shape == Bchoices[i].shape`` + for each ``i``. Then, a new array with shape ``Ba.shape`` is created as + follows: + + * if ``mode='raise'`` (the default), then, first of all, each element of + ``a`` (and thus ``Ba``) must be in the range ``[0, n-1]``; now, suppose + that ``i`` (in that range) is the value at the ``(j0, j1, ..., jm)`` + position in ``Ba`` - then the value at the same position in the new array + is the value in ``Bchoices[i]`` at that same position; + + * if ``mode='wrap'``, values in `a` (and thus `Ba`) may be any (signed) + integer; modular arithmetic is used to map integers outside the range + `[0, n-1]` back into that range; and then the new array is constructed + as above; + + * if ``mode='clip'``, values in `a` (and thus ``Ba``) may be any (signed) + integer; negative integers are mapped to 0; values greater than ``n-1`` + are mapped to ``n-1``; and then the new array is constructed as above. + + Parameters + ---------- + a : int array + This array must contain integers in ``[0, n-1]``, where ``n`` is the + number of choices, unless ``mode=wrap`` or ``mode=clip``, in which + cases any integers are permissible. + choices : sequence of arrays + Choice arrays. `a` and all of the choices must be broadcastable to the + same shape. If `choices` is itself an array (not recommended), then + its outermost dimension (i.e., the one corresponding to + ``choices.shape[0]``) is taken as defining the "sequence". + out : array, optional + If provided, the result will be inserted into this array. It should + be of the appropriate shape and dtype. Note that `out` is always + buffered if ``mode='raise'``; use other modes for better performance. + mode : {'raise' (default), 'wrap', 'clip'}, optional + Specifies how indices outside ``[0, n-1]`` will be treated: + + * 'raise' : an exception is raised + * 'wrap' : value becomes value mod ``n`` + * 'clip' : values < 0 are mapped to 0, values > n-1 are mapped to n-1 + + Returns + ------- + merged_array : array + The merged result. + + Raises + ------ + ValueError: shape mismatch + If `a` and each choice array are not all broadcastable to the same + shape. + + See Also + -------- + ndarray.choose : equivalent method + numpy.take_along_axis : Preferable if `choices` is an array + + Notes + ----- + To reduce the chance of misinterpretation, even though the following + "abuse" is nominally supported, `choices` should neither be, nor be + thought of as, a single array, i.e., the outermost sequence-like container + should be either a list or a tuple. + + Examples + -------- + + >>> import numpy as np + >>> choices = [[0, 1, 2, 3], [10, 11, 12, 13], + ... [20, 21, 22, 23], [30, 31, 32, 33]] + >>> np.choose([2, 3, 1, 0], choices + ... # the first element of the result will be the first element of the + ... # third (2+1) "array" in choices, namely, 20; the second element + ... # will be the second element of the fourth (3+1) choice array, i.e., + ... # 31, etc. + ... ) + array([20, 31, 12, 3]) + >>> np.choose([2, 4, 1, 0], choices, mode='clip') # 4 goes to 3 (4-1) + array([20, 31, 12, 3]) + >>> # because there are 4 choice arrays + >>> np.choose([2, 4, 1, 0], choices, mode='wrap') # 4 goes to (4 mod 4) + array([20, 1, 12, 3]) + >>> # i.e., 0 + + A couple examples illustrating how choose broadcasts: + + >>> a = [[1, 0, 1], [0, 1, 0], [1, 0, 1]] + >>> choices = [-10, 10] + >>> np.choose(a, choices) + array([[ 10, -10, 10], + [-10, 10, -10], + [ 10, -10, 10]]) + + >>> # With thanks to Anne Archibald + >>> a = np.array([0, 1]).reshape((2,1,1)) + >>> c1 = np.array([1, 2, 3]).reshape((1,3,1)) + >>> c2 = np.array([-1, -2, -3, -4, -5]).reshape((1,1,5)) + >>> np.choose(a, (c1, c2)) # result is 2x3x5, res[0,:,:]=c1, res[1,:,:]=c2 + array([[[ 1, 1, 1, 1, 1], + [ 2, 2, 2, 2, 2], + [ 3, 3, 3, 3, 3]], + [[-1, -2, -3, -4, -5], + [-1, -2, -3, -4, -5], + [-1, -2, -3, -4, -5]]]) + + """ + return _wrapfunc(a, 'choose', choices, out=out, mode=mode) + + +def _repeat_dispatcher(a, repeats, axis=None): + return (a,) + + +@array_function_dispatch(_repeat_dispatcher) +def repeat(a, repeats, axis=None): + """ + Repeat each element of an array after themselves + + Parameters + ---------- + a : array_like + Input array. + repeats : int or array of ints + The number of repetitions for each element. `repeats` is broadcasted + to fit the shape of the given axis. + axis : int, optional + The axis along which to repeat values. By default, use the + flattened input array, and return a flat output array. + + Returns + ------- + repeated_array : ndarray + Output array which has the same shape as `a`, except along + the given axis. + + See Also + -------- + tile : Tile an array. + unique : Find the unique elements of an array. + + Examples + -------- + >>> import numpy as np + >>> np.repeat(3, 4) + array([3, 3, 3, 3]) + >>> x = np.array([[1,2],[3,4]]) + >>> np.repeat(x, 2) + array([1, 1, 2, 2, 3, 3, 4, 4]) + >>> np.repeat(x, 3, axis=1) + array([[1, 1, 1, 2, 2, 2], + [3, 3, 3, 4, 4, 4]]) + >>> np.repeat(x, [1, 2], axis=0) + array([[1, 2], + [3, 4], + [3, 4]]) + + """ + return _wrapfunc(a, 'repeat', repeats, axis=axis) + + +def _put_dispatcher(a, ind, v, mode=None): + return (a, ind, v) + + +@array_function_dispatch(_put_dispatcher) +def put(a, ind, v, mode='raise'): + """ + Replaces specified elements of an array with given values. + + The indexing works on the flattened target array. `put` is roughly + equivalent to: + + :: + + a.flat[ind] = v + + Parameters + ---------- + a : ndarray + Target array. + ind : array_like + Target indices, interpreted as integers. + v : array_like + Values to place in `a` at target indices. If `v` is shorter than + `ind` it will be repeated as necessary. + mode : {'raise', 'wrap', 'clip'}, optional + Specifies how out-of-bounds indices will behave. + + * 'raise' -- raise an error (default) + * 'wrap' -- wrap around + * 'clip' -- clip to the range + + 'clip' mode means that all indices that are too large are replaced + by the index that addresses the last element along that axis. Note + that this disables indexing with negative numbers. In 'raise' mode, + if an exception occurs the target array may still be modified. + + See Also + -------- + putmask, place + put_along_axis : Put elements by matching the array and the index arrays + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(5) + >>> np.put(a, [0, 2], [-44, -55]) + >>> a + array([-44, 1, -55, 3, 4]) + + >>> a = np.arange(5) + >>> np.put(a, 22, -5, mode='clip') + >>> a + array([ 0, 1, 2, 3, -5]) + + """ + try: + put = a.put + except AttributeError as e: + raise TypeError("argument 1 must be numpy.ndarray, " + "not {name}".format(name=type(a).__name__)) from e + + return put(ind, v, mode=mode) + + +def _swapaxes_dispatcher(a, axis1, axis2): + return (a,) + + +@array_function_dispatch(_swapaxes_dispatcher) +def swapaxes(a, axis1, axis2): + """ + Interchange two axes of an array. + + Parameters + ---------- + a : array_like + Input array. + axis1 : int + First axis. + axis2 : int + Second axis. + + Returns + ------- + a_swapped : ndarray + For NumPy >= 1.10.0, if `a` is an ndarray, then a view of `a` is + returned; otherwise a new array is created. For earlier NumPy + versions a view of `a` is returned only if the order of the + axes is changed, otherwise the input array is returned. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([[1,2,3]]) + >>> np.swapaxes(x,0,1) + array([[1], + [2], + [3]]) + + >>> x = np.array([[[0,1],[2,3]],[[4,5],[6,7]]]) + >>> x + array([[[0, 1], + [2, 3]], + [[4, 5], + [6, 7]]]) + + >>> np.swapaxes(x,0,2) + array([[[0, 4], + [2, 6]], + [[1, 5], + [3, 7]]]) + + """ + return _wrapfunc(a, 'swapaxes', axis1, axis2) + + +def _transpose_dispatcher(a, axes=None): + return (a,) + + +@array_function_dispatch(_transpose_dispatcher) +def transpose(a, axes=None): + """ + Returns an array with axes transposed. + + For a 1-D array, this returns an unchanged view of the original array, as a + transposed vector is simply the same vector. + To convert a 1-D array into a 2-D column vector, an additional dimension + must be added, e.g., ``np.atleast_2d(a).T`` achieves this, as does + ``a[:, np.newaxis]``. + For a 2-D array, this is the standard matrix transpose. + For an n-D array, if axes are given, their order indicates how the + axes are permuted (see Examples). If axes are not provided, then + ``transpose(a).shape == a.shape[::-1]``. + + Parameters + ---------- + a : array_like + Input array. + axes : tuple or list of ints, optional + If specified, it must be a tuple or list which contains a permutation + of [0, 1, ..., N-1] where N is the number of axes of `a`. Negative + indices can also be used to specify axes. The i-th axis of the returned + array will correspond to the axis numbered ``axes[i]`` of the input. + If not specified, defaults to ``range(a.ndim)[::-1]``, which reverses + the order of the axes. + + Returns + ------- + p : ndarray + `a` with its axes permuted. A view is returned whenever possible. + + See Also + -------- + ndarray.transpose : Equivalent method. + moveaxis : Move axes of an array to new positions. + argsort : Return the indices that would sort an array. + + Notes + ----- + Use ``transpose(a, argsort(axes))`` to invert the transposition of tensors + when using the `axes` keyword argument. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> a + array([[1, 2], + [3, 4]]) + >>> np.transpose(a) + array([[1, 3], + [2, 4]]) + + >>> a = np.array([1, 2, 3, 4]) + >>> a + array([1, 2, 3, 4]) + >>> np.transpose(a) + array([1, 2, 3, 4]) + + >>> a = np.ones((1, 2, 3)) + >>> np.transpose(a, (1, 0, 2)).shape + (2, 1, 3) + + >>> a = np.ones((2, 3, 4, 5)) + >>> np.transpose(a).shape + (5, 4, 3, 2) + + >>> a = np.arange(3*4*5).reshape((3, 4, 5)) + >>> np.transpose(a, (-1, 0, -2)).shape + (5, 3, 4) + + """ + return _wrapfunc(a, 'transpose', axes) + + +def _matrix_transpose_dispatcher(x): + return (x,) + +@array_function_dispatch(_matrix_transpose_dispatcher) +def matrix_transpose(x, /): + """ + Transposes a matrix (or a stack of matrices) ``x``. + + This function is Array API compatible. + + Parameters + ---------- + x : array_like + Input array having shape (..., M, N) and whose two innermost + dimensions form ``MxN`` matrices. + + Returns + ------- + out : ndarray + An array containing the transpose for each matrix and having shape + (..., N, M). + + See Also + -------- + transpose : Generic transpose method. + + Examples + -------- + >>> import numpy as np + >>> np.matrix_transpose([[1, 2], [3, 4]]) + array([[1, 3], + [2, 4]]) + + >>> np.matrix_transpose([[[1, 2], [3, 4]], [[5, 6], [7, 8]]]) + array([[[1, 3], + [2, 4]], + [[5, 7], + [6, 8]]]) + + """ + x = asanyarray(x) + if x.ndim < 2: + raise ValueError( + f"Input array must be at least 2-dimensional, but it is {x.ndim}" + ) + return swapaxes(x, -1, -2) + + +def _partition_dispatcher(a, kth, axis=None, kind=None, order=None): + return (a,) + + +@array_function_dispatch(_partition_dispatcher) +def partition(a, kth, axis=-1, kind='introselect', order=None): + """ + Return a partitioned copy of an array. + + Creates a copy of the array and partially sorts it in such a way that + the value of the element in k-th position is in the position it would be + in a sorted array. In the output array, all elements smaller than the k-th + element are located to the left of this element and all equal or greater + are located to its right. The ordering of the elements in the two + partitions on the either side of the k-th element in the output array is + undefined. + + Parameters + ---------- + a : array_like + Array to be sorted. + kth : int or sequence of ints + Element index to partition by. The k-th value of the element + will be in its final sorted position and all smaller elements + will be moved before it and all equal or greater elements behind + it. The order of all elements in the partitions is undefined. If + provided with a sequence of k-th it will partition all elements + indexed by k-th of them into their sorted position at once. + + .. deprecated:: 1.22.0 + Passing booleans as index is deprecated. + axis : int or None, optional + Axis along which to sort. If None, the array is flattened before + sorting. The default is -1, which sorts along the last axis. + kind : {'introselect'}, optional + Selection algorithm. Default is 'introselect'. + order : str or list of str, optional + When `a` is an array with fields defined, this argument + specifies which fields to compare first, second, etc. A single + field can be specified as a string. Not all fields need be + specified, but unspecified fields will still be used, in the + order in which they come up in the dtype, to break ties. + + Returns + ------- + partitioned_array : ndarray + Array of the same type and shape as `a`. + + See Also + -------- + ndarray.partition : Method to sort an array in-place. + argpartition : Indirect partition. + sort : Full sorting + + Notes + ----- + The various selection algorithms are characterized by their average + speed, worst case performance, work space size, and whether they are + stable. A stable sort keeps items with the same key in the same + relative order. The available algorithms have the following + properties: + + ================= ======= ============= ============ ======= + kind speed worst case work space stable + ================= ======= ============= ============ ======= + 'introselect' 1 O(n) 0 no + ================= ======= ============= ============ ======= + + All the partition algorithms make temporary copies of the data when + partitioning along any but the last axis. Consequently, + partitioning along the last axis is faster and uses less space than + partitioning along any other axis. + + The sort order for complex numbers is lexicographic. If both the + real and imaginary parts are non-nan then the order is determined by + the real parts except when they are equal, in which case the order + is determined by the imaginary parts. + + The sort order of ``np.nan`` is bigger than ``np.inf``. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([7, 1, 7, 7, 1, 5, 7, 2, 3, 2, 6, 2, 3, 0]) + >>> p = np.partition(a, 4) + >>> p + array([0, 1, 2, 1, 2, 5, 2, 3, 3, 6, 7, 7, 7, 7]) # may vary + + ``p[4]`` is 2; all elements in ``p[:4]`` are less than or equal + to ``p[4]``, and all elements in ``p[5:]`` are greater than or + equal to ``p[4]``. The partition is:: + + [0, 1, 2, 1], [2], [5, 2, 3, 3, 6, 7, 7, 7, 7] + + The next example shows the use of multiple values passed to `kth`. + + >>> p2 = np.partition(a, (4, 8)) + >>> p2 + array([0, 1, 2, 1, 2, 3, 3, 2, 5, 6, 7, 7, 7, 7]) + + ``p2[4]`` is 2 and ``p2[8]`` is 5. All elements in ``p2[:4]`` + are less than or equal to ``p2[4]``, all elements in ``p2[5:8]`` + are greater than or equal to ``p2[4]`` and less than or equal to + ``p2[8]``, and all elements in ``p2[9:]`` are greater than or + equal to ``p2[8]``. The partition is:: + + [0, 1, 2, 1], [2], [3, 3, 2], [5], [6, 7, 7, 7, 7] + """ + if axis is None: + # flatten returns (1, N) for np.matrix, so always use the last axis + a = asanyarray(a).flatten() + axis = -1 + else: + a = asanyarray(a).copy(order="K") + a.partition(kth, axis=axis, kind=kind, order=order) + return a + + +def _argpartition_dispatcher(a, kth, axis=None, kind=None, order=None): + return (a,) + + +@array_function_dispatch(_argpartition_dispatcher) +def argpartition(a, kth, axis=-1, kind='introselect', order=None): + """ + Perform an indirect partition along the given axis using the + algorithm specified by the `kind` keyword. It returns an array of + indices of the same shape as `a` that index data along the given + axis in partitioned order. + + Parameters + ---------- + a : array_like + Array to sort. + kth : int or sequence of ints + Element index to partition by. The k-th element will be in its + final sorted position and all smaller elements will be moved + before it and all larger elements behind it. The order of all + elements in the partitions is undefined. If provided with a + sequence of k-th it will partition all of them into their sorted + position at once. + + .. deprecated:: 1.22.0 + Passing booleans as index is deprecated. + axis : int or None, optional + Axis along which to sort. The default is -1 (the last axis). If + None, the flattened array is used. + kind : {'introselect'}, optional + Selection algorithm. Default is 'introselect' + order : str or list of str, optional + When `a` is an array with fields defined, this argument + specifies which fields to compare first, second, etc. A single + field can be specified as a string, and not all fields need be + specified, but unspecified fields will still be used, in the + order in which they come up in the dtype, to break ties. + + Returns + ------- + index_array : ndarray, int + Array of indices that partition `a` along the specified axis. + If `a` is one-dimensional, ``a[index_array]`` yields a partitioned `a`. + More generally, ``np.take_along_axis(a, index_array, axis=axis)`` + always yields the partitioned `a`, irrespective of dimensionality. + + See Also + -------- + partition : Describes partition algorithms used. + ndarray.partition : Inplace partition. + argsort : Full indirect sort. + take_along_axis : Apply ``index_array`` from argpartition + to an array as if by calling partition. + + Notes + ----- + The returned indices are not guaranteed to be sorted according to + the values. Furthermore, the default selection algorithm ``introselect`` + is unstable, and hence the returned indices are not guaranteed + to be the earliest/latest occurrence of the element. + + `argpartition` works for real/complex inputs with nan values, + see `partition` for notes on the enhanced sort order and + different selection algorithms. + + Examples + -------- + One dimensional array: + + >>> import numpy as np + >>> x = np.array([3, 4, 2, 1]) + >>> x[np.argpartition(x, 3)] + array([2, 1, 3, 4]) # may vary + >>> x[np.argpartition(x, (1, 3))] + array([1, 2, 3, 4]) # may vary + + >>> x = [3, 4, 2, 1] + >>> np.array(x)[np.argpartition(x, 3)] + array([2, 1, 3, 4]) # may vary + + Multi-dimensional array: + + >>> x = np.array([[3, 4, 2], [1, 3, 1]]) + >>> index_array = np.argpartition(x, kth=1, axis=-1) + >>> # below is the same as np.partition(x, kth=1) + >>> np.take_along_axis(x, index_array, axis=-1) + array([[2, 3, 4], + [1, 1, 3]]) + + """ + return _wrapfunc(a, 'argpartition', kth, axis=axis, kind=kind, order=order) + + +def _sort_dispatcher(a, axis=None, kind=None, order=None, *, stable=None): + return (a,) + + +@array_function_dispatch(_sort_dispatcher) +def sort(a, axis=-1, kind=None, order=None, *, stable=None): + """ + Return a sorted copy of an array. + + Parameters + ---------- + a : array_like + Array to be sorted. + axis : int or None, optional + Axis along which to sort. If None, the array is flattened before + sorting. The default is -1, which sorts along the last axis. + kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, optional + Sorting algorithm. The default is 'quicksort'. Note that both 'stable' + and 'mergesort' use timsort or radix sort under the covers and, + in general, the actual implementation will vary with data type. + The 'mergesort' option is retained for backwards compatibility. + order : str or list of str, optional + When `a` is an array with fields defined, this argument specifies + which fields to compare first, second, etc. A single field can + be specified as a string, and not all fields need be specified, + but unspecified fields will still be used, in the order in which + they come up in the dtype, to break ties. + stable : bool, optional + Sort stability. If ``True``, the returned array will maintain + the relative order of ``a`` values which compare as equal. + If ``False`` or ``None``, this is not guaranteed. Internally, + this option selects ``kind='stable'``. Default: ``None``. + + .. versionadded:: 2.0.0 + + Returns + ------- + sorted_array : ndarray + Array of the same type and shape as `a`. + + See Also + -------- + ndarray.sort : Method to sort an array in-place. + argsort : Indirect sort. + lexsort : Indirect stable sort on multiple keys. + searchsorted : Find elements in a sorted array. + partition : Partial sort. + + Notes + ----- + The various sorting algorithms are characterized by their average speed, + worst case performance, work space size, and whether they are stable. A + stable sort keeps items with the same key in the same relative + order. The four algorithms implemented in NumPy have the following + properties: + + =========== ======= ============= ============ ======== + kind speed worst case work space stable + =========== ======= ============= ============ ======== + 'quicksort' 1 O(n^2) 0 no + 'heapsort' 3 O(n*log(n)) 0 no + 'mergesort' 2 O(n*log(n)) ~n/2 yes + 'timsort' 2 O(n*log(n)) ~n/2 yes + =========== ======= ============= ============ ======== + + .. note:: The datatype determines which of 'mergesort' or 'timsort' + is actually used, even if 'mergesort' is specified. User selection + at a finer scale is not currently available. + + For performance, ``sort`` makes a temporary copy if needed to make the data + `contiguous `_ + in memory along the sort axis. For even better performance and reduced + memory consumption, ensure that the array is already contiguous along the + sort axis. + + The sort order for complex numbers is lexicographic. If both the real + and imaginary parts are non-nan then the order is determined by the + real parts except when they are equal, in which case the order is + determined by the imaginary parts. + + Previous to numpy 1.4.0 sorting real and complex arrays containing nan + values led to undefined behaviour. In numpy versions >= 1.4.0 nan + values are sorted to the end. The extended sort order is: + + * Real: [R, nan] + * Complex: [R + Rj, R + nanj, nan + Rj, nan + nanj] + + where R is a non-nan real value. Complex values with the same nan + placements are sorted according to the non-nan part if it exists. + Non-nan values are sorted as before. + + quicksort has been changed to: + `introsort `_. + When sorting does not make enough progress it switches to + `heapsort `_. + This implementation makes quicksort O(n*log(n)) in the worst case. + + 'stable' automatically chooses the best stable sorting algorithm + for the data type being sorted. + It, along with 'mergesort' is currently mapped to + `timsort `_ + or `radix sort `_ + depending on the data type. + API forward compatibility currently limits the + ability to select the implementation and it is hardwired for the different + data types. + + Timsort is added for better performance on already or nearly + sorted data. On random data timsort is almost identical to + mergesort. It is now used for stable sort while quicksort is still the + default sort if none is chosen. For timsort details, refer to + `CPython listsort.txt + `_ + 'mergesort' and 'stable' are mapped to radix sort for integer data types. + Radix sort is an O(n) sort instead of O(n log n). + + NaT now sorts to the end of arrays for consistency with NaN. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1,4],[3,1]]) + >>> np.sort(a) # sort along the last axis + array([[1, 4], + [1, 3]]) + >>> np.sort(a, axis=None) # sort the flattened array + array([1, 1, 3, 4]) + >>> np.sort(a, axis=0) # sort along the first axis + array([[1, 1], + [3, 4]]) + + Use the `order` keyword to specify a field to use when sorting a + structured array: + + >>> dtype = [('name', 'S10'), ('height', float), ('age', int)] + >>> values = [('Arthur', 1.8, 41), ('Lancelot', 1.9, 38), + ... ('Galahad', 1.7, 38)] + >>> a = np.array(values, dtype=dtype) # create a structured array + >>> np.sort(a, order='height') # doctest: +SKIP + array([('Galahad', 1.7, 38), ('Arthur', 1.8, 41), + ('Lancelot', 1.8999999999999999, 38)], + dtype=[('name', '|S10'), ('height', '>> np.sort(a, order=['age', 'height']) # doctest: +SKIP + array([('Galahad', 1.7, 38), ('Lancelot', 1.8999999999999999, 38), + ('Arthur', 1.8, 41)], + dtype=[('name', '|S10'), ('height', '>> import numpy as np + >>> x = np.array([3, 1, 2]) + >>> np.argsort(x) + array([1, 2, 0]) + + Two-dimensional array: + + >>> x = np.array([[0, 3], [2, 2]]) + >>> x + array([[0, 3], + [2, 2]]) + + >>> ind = np.argsort(x, axis=0) # sorts along first axis (down) + >>> ind + array([[0, 1], + [1, 0]]) + >>> np.take_along_axis(x, ind, axis=0) # same as np.sort(x, axis=0) + array([[0, 2], + [2, 3]]) + + >>> ind = np.argsort(x, axis=1) # sorts along last axis (across) + >>> ind + array([[0, 1], + [0, 1]]) + >>> np.take_along_axis(x, ind, axis=1) # same as np.sort(x, axis=1) + array([[0, 3], + [2, 2]]) + + Indices of the sorted elements of a N-dimensional array: + + >>> ind = np.unravel_index(np.argsort(x, axis=None), x.shape) + >>> ind + (array([0, 1, 1, 0]), array([0, 0, 1, 1])) + >>> x[ind] # same as np.sort(x, axis=None) + array([0, 2, 2, 3]) + + Sorting with keys: + + >>> x = np.array([(1, 0), (0, 1)], dtype=[('x', '>> x + array([(1, 0), (0, 1)], + dtype=[('x', '>> np.argsort(x, order=('x','y')) + array([1, 0]) + + >>> np.argsort(x, order=('y','x')) + array([0, 1]) + + """ + return _wrapfunc( + a, 'argsort', axis=axis, kind=kind, order=order, stable=stable + ) + +def _argmax_dispatcher(a, axis=None, out=None, *, keepdims=np._NoValue): + return (a, out) + + +@array_function_dispatch(_argmax_dispatcher) +def argmax(a, axis=None, out=None, *, keepdims=np._NoValue): + """ + Returns the indices of the maximum values along an axis. + + Parameters + ---------- + a : array_like + Input array. + axis : int, optional + By default, the index is into the flattened array, otherwise + along the specified axis. + out : array, optional + If provided, the result will be inserted into this array. It should + be of the appropriate shape and dtype. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + .. versionadded:: 1.22.0 + + Returns + ------- + index_array : ndarray of ints + Array of indices into the array. It has the same shape as ``a.shape`` + with the dimension along `axis` removed. If `keepdims` is set to True, + then the size of `axis` will be 1 with the resulting array having same + shape as ``a.shape``. + + See Also + -------- + ndarray.argmax, argmin + amax : The maximum value along a given axis. + unravel_index : Convert a flat index into an index tuple. + take_along_axis : Apply ``np.expand_dims(index_array, axis)`` + from argmax to an array as if by calling max. + + Notes + ----- + In case of multiple occurrences of the maximum values, the indices + corresponding to the first occurrence are returned. + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(6).reshape(2,3) + 10 + >>> a + array([[10, 11, 12], + [13, 14, 15]]) + >>> np.argmax(a) + 5 + >>> np.argmax(a, axis=0) + array([1, 1, 1]) + >>> np.argmax(a, axis=1) + array([2, 2]) + + Indexes of the maximal elements of a N-dimensional array: + + >>> ind = np.unravel_index(np.argmax(a, axis=None), a.shape) + >>> ind + (1, 2) + >>> a[ind] + 15 + + >>> b = np.arange(6) + >>> b[1] = 5 + >>> b + array([0, 5, 2, 3, 4, 5]) + >>> np.argmax(b) # Only the first occurrence is returned. + 1 + + >>> x = np.array([[4,2,3], [1,0,3]]) + >>> index_array = np.argmax(x, axis=-1) + >>> # Same as np.amax(x, axis=-1, keepdims=True) + >>> np.take_along_axis(x, np.expand_dims(index_array, axis=-1), axis=-1) + array([[4], + [3]]) + >>> # Same as np.amax(x, axis=-1) + >>> np.take_along_axis(x, np.expand_dims(index_array, axis=-1), + ... axis=-1).squeeze(axis=-1) + array([4, 3]) + + Setting `keepdims` to `True`, + + >>> x = np.arange(24).reshape((2, 3, 4)) + >>> res = np.argmax(x, axis=1, keepdims=True) + >>> res.shape + (2, 1, 4) + """ + kwds = {'keepdims': keepdims} if keepdims is not np._NoValue else {} + return _wrapfunc(a, 'argmax', axis=axis, out=out, **kwds) + + +def _argmin_dispatcher(a, axis=None, out=None, *, keepdims=np._NoValue): + return (a, out) + + +@array_function_dispatch(_argmin_dispatcher) +def argmin(a, axis=None, out=None, *, keepdims=np._NoValue): + """ + Returns the indices of the minimum values along an axis. + + Parameters + ---------- + a : array_like + Input array. + axis : int, optional + By default, the index is into the flattened array, otherwise + along the specified axis. + out : array, optional + If provided, the result will be inserted into this array. It should + be of the appropriate shape and dtype. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + .. versionadded:: 1.22.0 + + Returns + ------- + index_array : ndarray of ints + Array of indices into the array. It has the same shape as `a.shape` + with the dimension along `axis` removed. If `keepdims` is set to True, + then the size of `axis` will be 1 with the resulting array having same + shape as `a.shape`. + + See Also + -------- + ndarray.argmin, argmax + amin : The minimum value along a given axis. + unravel_index : Convert a flat index into an index tuple. + take_along_axis : Apply ``np.expand_dims(index_array, axis)`` + from argmin to an array as if by calling min. + + Notes + ----- + In case of multiple occurrences of the minimum values, the indices + corresponding to the first occurrence are returned. + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(6).reshape(2,3) + 10 + >>> a + array([[10, 11, 12], + [13, 14, 15]]) + >>> np.argmin(a) + 0 + >>> np.argmin(a, axis=0) + array([0, 0, 0]) + >>> np.argmin(a, axis=1) + array([0, 0]) + + Indices of the minimum elements of a N-dimensional array: + + >>> ind = np.unravel_index(np.argmin(a, axis=None), a.shape) + >>> ind + (0, 0) + >>> a[ind] + 10 + + >>> b = np.arange(6) + 10 + >>> b[4] = 10 + >>> b + array([10, 11, 12, 13, 10, 15]) + >>> np.argmin(b) # Only the first occurrence is returned. + 0 + + >>> x = np.array([[4,2,3], [1,0,3]]) + >>> index_array = np.argmin(x, axis=-1) + >>> # Same as np.amin(x, axis=-1, keepdims=True) + >>> np.take_along_axis(x, np.expand_dims(index_array, axis=-1), axis=-1) + array([[2], + [0]]) + >>> # Same as np.amax(x, axis=-1) + >>> np.take_along_axis(x, np.expand_dims(index_array, axis=-1), + ... axis=-1).squeeze(axis=-1) + array([2, 0]) + + Setting `keepdims` to `True`, + + >>> x = np.arange(24).reshape((2, 3, 4)) + >>> res = np.argmin(x, axis=1, keepdims=True) + >>> res.shape + (2, 1, 4) + """ + kwds = {'keepdims': keepdims} if keepdims is not np._NoValue else {} + return _wrapfunc(a, 'argmin', axis=axis, out=out, **kwds) + + +def _searchsorted_dispatcher(a, v, side=None, sorter=None): + return (a, v, sorter) + + +@array_function_dispatch(_searchsorted_dispatcher) +def searchsorted(a, v, side='left', sorter=None): + """ + Find indices where elements should be inserted to maintain order. + + Find the indices into a sorted array `a` such that, if the + corresponding elements in `v` were inserted before the indices, the + order of `a` would be preserved. + + Assuming that `a` is sorted: + + ====== ============================ + `side` returned index `i` satisfies + ====== ============================ + left ``a[i-1] < v <= a[i]`` + right ``a[i-1] <= v < a[i]`` + ====== ============================ + + Parameters + ---------- + a : 1-D array_like + Input array. If `sorter` is None, then it must be sorted in + ascending order, otherwise `sorter` must be an array of indices + that sort it. + v : array_like + Values to insert into `a`. + side : {'left', 'right'}, optional + If 'left', the index of the first suitable location found is given. + If 'right', return the last such index. If there is no suitable + index, return either 0 or N (where N is the length of `a`). + sorter : 1-D array_like, optional + Optional array of integer indices that sort array a into ascending + order. They are typically the result of argsort. + + Returns + ------- + indices : int or array of ints + Array of insertion points with the same shape as `v`, + or an integer if `v` is a scalar. + + See Also + -------- + sort : Return a sorted copy of an array. + histogram : Produce histogram from 1-D data. + + Notes + ----- + Binary search is used to find the required insertion points. + + As of NumPy 1.4.0 `searchsorted` works with real/complex arrays containing + `nan` values. The enhanced sort order is documented in `sort`. + + This function uses the same algorithm as the builtin python + `bisect.bisect_left` (``side='left'``) and `bisect.bisect_right` + (``side='right'``) functions, which is also vectorized + in the `v` argument. + + Examples + -------- + >>> import numpy as np + >>> np.searchsorted([11,12,13,14,15], 13) + 2 + >>> np.searchsorted([11,12,13,14,15], 13, side='right') + 3 + >>> np.searchsorted([11,12,13,14,15], [-10, 20, 12, 13]) + array([0, 5, 1, 2]) + + When `sorter` is used, the returned indices refer to the sorted + array of `a` and not `a` itself: + + >>> a = np.array([40, 10, 20, 30]) + >>> sorter = np.argsort(a) + >>> sorter + array([1, 2, 3, 0]) # Indices that would sort the array 'a' + >>> result = np.searchsorted(a, 25, sorter=sorter) + >>> result + 2 + >>> a[sorter[result]] + 30 # The element at index 2 of the sorted array is 30. + """ + return _wrapfunc(a, 'searchsorted', v, side=side, sorter=sorter) + + +def _resize_dispatcher(a, new_shape): + return (a,) + + +@array_function_dispatch(_resize_dispatcher) +def resize(a, new_shape): + """ + Return a new array with the specified shape. + + If the new array is larger than the original array, then the new + array is filled with repeated copies of `a`. Note that this behavior + is different from a.resize(new_shape) which fills with zeros instead + of repeated copies of `a`. + + Parameters + ---------- + a : array_like + Array to be resized. + + new_shape : int or tuple of int + Shape of resized array. + + Returns + ------- + reshaped_array : ndarray + The new array is formed from the data in the old array, repeated + if necessary to fill out the required number of elements. The + data are repeated iterating over the array in C-order. + + See Also + -------- + numpy.reshape : Reshape an array without changing the total size. + numpy.pad : Enlarge and pad an array. + numpy.repeat : Repeat elements of an array. + ndarray.resize : resize an array in-place. + + Notes + ----- + When the total size of the array does not change `~numpy.reshape` should + be used. In most other cases either indexing (to reduce the size) + or padding (to increase the size) may be a more appropriate solution. + + Warning: This functionality does **not** consider axes separately, + i.e. it does not apply interpolation/extrapolation. + It fills the return array with the required number of elements, iterating + over `a` in C-order, disregarding axes (and cycling back from the start if + the new shape is larger). This functionality is therefore not suitable to + resize images, or data where each axis represents a separate and distinct + entity. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[0,1],[2,3]]) + >>> np.resize(a,(2,3)) + array([[0, 1, 2], + [3, 0, 1]]) + >>> np.resize(a,(1,4)) + array([[0, 1, 2, 3]]) + >>> np.resize(a,(2,4)) + array([[0, 1, 2, 3], + [0, 1, 2, 3]]) + + """ + if isinstance(new_shape, (int, nt.integer)): + new_shape = (new_shape,) + + a = ravel(a) + + new_size = 1 + for dim_length in new_shape: + new_size *= dim_length + if dim_length < 0: + raise ValueError( + 'all elements of `new_shape` must be non-negative' + ) + + if a.size == 0 or new_size == 0: + # First case must zero fill. The second would have repeats == 0. + return np.zeros_like(a, shape=new_shape) + + repeats = -(-new_size // a.size) # ceil division + a = concatenate((a,) * repeats)[:new_size] + + return reshape(a, new_shape) + + +def _squeeze_dispatcher(a, axis=None): + return (a,) + + +@array_function_dispatch(_squeeze_dispatcher) +def squeeze(a, axis=None): + """ + Remove axes of length one from `a`. + + Parameters + ---------- + a : array_like + Input data. + axis : None or int or tuple of ints, optional + Selects a subset of the entries of length one in the + shape. If an axis is selected with shape entry greater than + one, an error is raised. + + Returns + ------- + squeezed : ndarray + The input array, but with all or a subset of the + dimensions of length 1 removed. This is always `a` itself + or a view into `a`. Note that if all axes are squeezed, + the result is a 0d array and not a scalar. + + Raises + ------ + ValueError + If `axis` is not None, and an axis being squeezed is not of length 1 + + See Also + -------- + expand_dims : The inverse operation, adding entries of length one + reshape : Insert, remove, and combine dimensions, and resize existing ones + + Examples + -------- + >>> import numpy as np + >>> x = np.array([[[0], [1], [2]]]) + >>> x.shape + (1, 3, 1) + >>> np.squeeze(x).shape + (3,) + >>> np.squeeze(x, axis=0).shape + (3, 1) + >>> np.squeeze(x, axis=1).shape + Traceback (most recent call last): + ... + ValueError: cannot select an axis to squeeze out which has size + not equal to one + >>> np.squeeze(x, axis=2).shape + (1, 3) + >>> x = np.array([[1234]]) + >>> x.shape + (1, 1) + >>> np.squeeze(x) + array(1234) # 0d array + >>> np.squeeze(x).shape + () + >>> np.squeeze(x)[()] + 1234 + + """ + try: + squeeze = a.squeeze + except AttributeError: + return _wrapit(a, 'squeeze', axis=axis) + if axis is None: + return squeeze() + else: + return squeeze(axis=axis) + + +def _diagonal_dispatcher(a, offset=None, axis1=None, axis2=None): + return (a,) + + +@array_function_dispatch(_diagonal_dispatcher) +def diagonal(a, offset=0, axis1=0, axis2=1): + """ + Return specified diagonals. + + If `a` is 2-D, returns the diagonal of `a` with the given offset, + i.e., the collection of elements of the form ``a[i, i+offset]``. If + `a` has more than two dimensions, then the axes specified by `axis1` + and `axis2` are used to determine the 2-D sub-array whose diagonal is + returned. The shape of the resulting array can be determined by + removing `axis1` and `axis2` and appending an index to the right equal + to the size of the resulting diagonals. + + In versions of NumPy prior to 1.7, this function always returned a new, + independent array containing a copy of the values in the diagonal. + + In NumPy 1.7 and 1.8, it continues to return a copy of the diagonal, + but depending on this fact is deprecated. Writing to the resulting + array continues to work as it used to, but a FutureWarning is issued. + + Starting in NumPy 1.9 it returns a read-only view on the original array. + Attempting to write to the resulting array will produce an error. + + In some future release, it will return a read/write view and writing to + the returned array will alter your original array. The returned array + will have the same type as the input array. + + If you don't write to the array returned by this function, then you can + just ignore all of the above. + + If you depend on the current behavior, then we suggest copying the + returned array explicitly, i.e., use ``np.diagonal(a).copy()`` instead + of just ``np.diagonal(a)``. This will work with both past and future + versions of NumPy. + + Parameters + ---------- + a : array_like + Array from which the diagonals are taken. + offset : int, optional + Offset of the diagonal from the main diagonal. Can be positive or + negative. Defaults to main diagonal (0). + axis1 : int, optional + Axis to be used as the first axis of the 2-D sub-arrays from which + the diagonals should be taken. Defaults to first axis (0). + axis2 : int, optional + Axis to be used as the second axis of the 2-D sub-arrays from + which the diagonals should be taken. Defaults to second axis (1). + + Returns + ------- + array_of_diagonals : ndarray + If `a` is 2-D, then a 1-D array containing the diagonal and of the + same type as `a` is returned unless `a` is a `matrix`, in which case + a 1-D array rather than a (2-D) `matrix` is returned in order to + maintain backward compatibility. + + If ``a.ndim > 2``, then the dimensions specified by `axis1` and `axis2` + are removed, and a new axis inserted at the end corresponding to the + diagonal. + + Raises + ------ + ValueError + If the dimension of `a` is less than 2. + + See Also + -------- + diag : MATLAB work-a-like for 1-D and 2-D arrays. + diagflat : Create diagonal arrays. + trace : Sum along diagonals. + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(4).reshape(2,2) + >>> a + array([[0, 1], + [2, 3]]) + >>> a.diagonal() + array([0, 3]) + >>> a.diagonal(1) + array([1]) + + A 3-D example: + + >>> a = np.arange(8).reshape(2,2,2); a + array([[[0, 1], + [2, 3]], + [[4, 5], + [6, 7]]]) + >>> a.diagonal(0, # Main diagonals of two arrays created by skipping + ... 0, # across the outer(left)-most axis last and + ... 1) # the "middle" (row) axis first. + array([[0, 6], + [1, 7]]) + + The sub-arrays whose main diagonals we just obtained; note that each + corresponds to fixing the right-most (column) axis, and that the + diagonals are "packed" in rows. + + >>> a[:,:,0] # main diagonal is [0 6] + array([[0, 2], + [4, 6]]) + >>> a[:,:,1] # main diagonal is [1 7] + array([[1, 3], + [5, 7]]) + + The anti-diagonal can be obtained by reversing the order of elements + using either `numpy.flipud` or `numpy.fliplr`. + + >>> a = np.arange(9).reshape(3, 3) + >>> a + array([[0, 1, 2], + [3, 4, 5], + [6, 7, 8]]) + >>> np.fliplr(a).diagonal() # Horizontal flip + array([2, 4, 6]) + >>> np.flipud(a).diagonal() # Vertical flip + array([6, 4, 2]) + + Note that the order in which the diagonal is retrieved varies depending + on the flip function. + """ + if isinstance(a, np.matrix): + # Make diagonal of matrix 1-D to preserve backward compatibility. + return asarray(a).diagonal(offset=offset, axis1=axis1, axis2=axis2) + else: + return asanyarray(a).diagonal(offset=offset, axis1=axis1, axis2=axis2) + + +def _trace_dispatcher( + a, offset=None, axis1=None, axis2=None, dtype=None, out=None): + return (a, out) + + +@array_function_dispatch(_trace_dispatcher) +def trace(a, offset=0, axis1=0, axis2=1, dtype=None, out=None): + """ + Return the sum along diagonals of the array. + + If `a` is 2-D, the sum along its diagonal with the given offset + is returned, i.e., the sum of elements ``a[i,i+offset]`` for all i. + + If `a` has more than two dimensions, then the axes specified by axis1 and + axis2 are used to determine the 2-D sub-arrays whose traces are returned. + The shape of the resulting array is the same as that of `a` with `axis1` + and `axis2` removed. + + Parameters + ---------- + a : array_like + Input array, from which the diagonals are taken. + offset : int, optional + Offset of the diagonal from the main diagonal. Can be both positive + and negative. Defaults to 0. + axis1, axis2 : int, optional + Axes to be used as the first and second axis of the 2-D sub-arrays + from which the diagonals should be taken. Defaults are the first two + axes of `a`. + dtype : dtype, optional + Determines the data-type of the returned array and of the accumulator + where the elements are summed. If dtype has the value None and `a` is + of integer type of precision less than the default integer + precision, then the default integer precision is used. Otherwise, + the precision is the same as that of `a`. + out : ndarray, optional + Array into which the output is placed. Its type is preserved and + it must be of the right shape to hold the output. + + Returns + ------- + sum_along_diagonals : ndarray + If `a` is 2-D, the sum along the diagonal is returned. If `a` has + larger dimensions, then an array of sums along diagonals is returned. + + See Also + -------- + diag, diagonal, diagflat + + Examples + -------- + >>> import numpy as np + >>> np.trace(np.eye(3)) + 3.0 + >>> a = np.arange(8).reshape((2,2,2)) + >>> np.trace(a) + array([6, 8]) + + >>> a = np.arange(24).reshape((2,2,2,3)) + >>> np.trace(a).shape + (2, 3) + + """ + if isinstance(a, np.matrix): + # Get trace of matrix via an array to preserve backward compatibility. + return asarray(a).trace( + offset=offset, axis1=axis1, axis2=axis2, dtype=dtype, out=out + ) + else: + return asanyarray(a).trace( + offset=offset, axis1=axis1, axis2=axis2, dtype=dtype, out=out + ) + + +def _ravel_dispatcher(a, order=None): + return (a,) + + +@array_function_dispatch(_ravel_dispatcher) +def ravel(a, order='C'): + """Return a contiguous flattened array. + + A 1-D array, containing the elements of the input, is returned. A copy is + made only if needed. + + As of NumPy 1.10, the returned array will have the same type as the input + array. (for example, a masked array will be returned for a masked array + input) + + Parameters + ---------- + a : array_like + Input array. The elements in `a` are read in the order specified by + `order`, and packed as a 1-D array. + order : {'C','F', 'A', 'K'}, optional + + The elements of `a` are read using this index order. 'C' means + to index the elements in row-major, C-style order, + with the last axis index changing fastest, back to the first + axis index changing slowest. 'F' means to index the elements + in column-major, Fortran-style order, with the + first index changing fastest, and the last index changing + slowest. Note that the 'C' and 'F' options take no account of + the memory layout of the underlying array, and only refer to + the order of axis indexing. 'A' means to read the elements in + Fortran-like index order if `a` is Fortran *contiguous* in + memory, C-like order otherwise. 'K' means to read the + elements in the order they occur in memory, except for + reversing the data when strides are negative. By default, 'C' + index order is used. + + Returns + ------- + y : array_like + y is a contiguous 1-D array of the same subtype as `a`, + with shape ``(a.size,)``. + Note that matrices are special cased for backward compatibility, + if `a` is a matrix, then y is a 1-D ndarray. + + See Also + -------- + ndarray.flat : 1-D iterator over an array. + ndarray.flatten : 1-D array copy of the elements of an array + in row-major order. + ndarray.reshape : Change the shape of an array without changing its data. + + Notes + ----- + In row-major, C-style order, in two dimensions, the row index + varies the slowest, and the column index the quickest. This can + be generalized to multiple dimensions, where row-major order + implies that the index along the first axis varies slowest, and + the index along the last quickest. The opposite holds for + column-major, Fortran-style index ordering. + + When a view is desired in as many cases as possible, ``arr.reshape(-1)`` + may be preferable. However, ``ravel`` supports ``K`` in the optional + ``order`` argument while ``reshape`` does not. + + Examples + -------- + It is equivalent to ``reshape(-1, order=order)``. + + >>> import numpy as np + >>> x = np.array([[1, 2, 3], [4, 5, 6]]) + >>> np.ravel(x) + array([1, 2, 3, 4, 5, 6]) + + >>> x.reshape(-1) + array([1, 2, 3, 4, 5, 6]) + + >>> np.ravel(x, order='F') + array([1, 4, 2, 5, 3, 6]) + + When ``order`` is 'A', it will preserve the array's 'C' or 'F' ordering: + + >>> np.ravel(x.T) + array([1, 4, 2, 5, 3, 6]) + >>> np.ravel(x.T, order='A') + array([1, 2, 3, 4, 5, 6]) + + When ``order`` is 'K', it will preserve orderings that are neither 'C' + nor 'F', but won't reverse axes: + + >>> a = np.arange(3)[::-1]; a + array([2, 1, 0]) + >>> a.ravel(order='C') + array([2, 1, 0]) + >>> a.ravel(order='K') + array([2, 1, 0]) + + >>> a = np.arange(12).reshape(2,3,2).swapaxes(1,2); a + array([[[ 0, 2, 4], + [ 1, 3, 5]], + [[ 6, 8, 10], + [ 7, 9, 11]]]) + >>> a.ravel(order='C') + array([ 0, 2, 4, 1, 3, 5, 6, 8, 10, 7, 9, 11]) + >>> a.ravel(order='K') + array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]) + + """ + if isinstance(a, np.matrix): + return asarray(a).ravel(order=order) + else: + return asanyarray(a).ravel(order=order) + + +def _nonzero_dispatcher(a): + return (a,) + + +@array_function_dispatch(_nonzero_dispatcher) +def nonzero(a): + """ + Return the indices of the elements that are non-zero. + + Returns a tuple of arrays, one for each dimension of `a`, + containing the indices of the non-zero elements in that + dimension. The values in `a` are always tested and returned in + row-major, C-style order. + + To group the indices by element, rather than dimension, use `argwhere`, + which returns a row for each non-zero element. + + .. note:: + + When called on a zero-d array or scalar, ``nonzero(a)`` is treated + as ``nonzero(atleast_1d(a))``. + + .. deprecated:: 1.17.0 + + Use `atleast_1d` explicitly if this behavior is deliberate. + + Parameters + ---------- + a : array_like + Input array. + + Returns + ------- + tuple_of_arrays : tuple + Indices of elements that are non-zero. + + See Also + -------- + flatnonzero : + Return indices that are non-zero in the flattened version of the input + array. + ndarray.nonzero : + Equivalent ndarray method. + count_nonzero : + Counts the number of non-zero elements in the input array. + + Notes + ----- + While the nonzero values can be obtained with ``a[nonzero(a)]``, it is + recommended to use ``x[x.astype(bool)]`` or ``x[x != 0]`` instead, which + will correctly handle 0-d arrays. + + Examples + -------- + >>> import numpy as np + >>> x = np.array([[3, 0, 0], [0, 4, 0], [5, 6, 0]]) + >>> x + array([[3, 0, 0], + [0, 4, 0], + [5, 6, 0]]) + >>> np.nonzero(x) + (array([0, 1, 2, 2]), array([0, 1, 0, 1])) + + >>> x[np.nonzero(x)] + array([3, 4, 5, 6]) + >>> np.transpose(np.nonzero(x)) + array([[0, 0], + [1, 1], + [2, 0], + [2, 1]]) + + A common use for ``nonzero`` is to find the indices of an array, where + a condition is True. Given an array `a`, the condition `a` > 3 is a + boolean array and since False is interpreted as 0, np.nonzero(a > 3) + yields the indices of the `a` where the condition is true. + + >>> a = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) + >>> a > 3 + array([[False, False, False], + [ True, True, True], + [ True, True, True]]) + >>> np.nonzero(a > 3) + (array([1, 1, 1, 2, 2, 2]), array([0, 1, 2, 0, 1, 2])) + + Using this result to index `a` is equivalent to using the mask directly: + + >>> a[np.nonzero(a > 3)] + array([4, 5, 6, 7, 8, 9]) + >>> a[a > 3] # prefer this spelling + array([4, 5, 6, 7, 8, 9]) + + ``nonzero`` can also be called as a method of the array. + + >>> (a > 3).nonzero() + (array([1, 1, 1, 2, 2, 2]), array([0, 1, 2, 0, 1, 2])) + + """ + return _wrapfunc(a, 'nonzero') + + +def _shape_dispatcher(a): + return (a,) + + +@array_function_dispatch(_shape_dispatcher) +def shape(a): + """ + Return the shape of an array. + + Parameters + ---------- + a : array_like + Input array. + + Returns + ------- + shape : tuple of ints + The elements of the shape tuple give the lengths of the + corresponding array dimensions. + + See Also + -------- + len : ``len(a)`` is equivalent to ``np.shape(a)[0]`` for N-D arrays with + ``N>=1``. + ndarray.shape : Equivalent array method. + + Examples + -------- + >>> import numpy as np + >>> np.shape(np.eye(3)) + (3, 3) + >>> np.shape([[1, 3]]) + (1, 2) + >>> np.shape([0]) + (1,) + >>> np.shape(0) + () + + >>> a = np.array([(1, 2), (3, 4), (5, 6)], + ... dtype=[('x', 'i4'), ('y', 'i4')]) + >>> np.shape(a) + (3,) + >>> a.shape + (3,) + + """ + try: + result = a.shape + except AttributeError: + result = asarray(a).shape + return result + + +def _compress_dispatcher(condition, a, axis=None, out=None): + return (condition, a, out) + + +@array_function_dispatch(_compress_dispatcher) +def compress(condition, a, axis=None, out=None): + """ + Return selected slices of an array along given axis. + + When working along a given axis, a slice along that axis is returned in + `output` for each index where `condition` evaluates to True. When + working on a 1-D array, `compress` is equivalent to `extract`. + + Parameters + ---------- + condition : 1-D array of bools + Array that selects which entries to return. If len(condition) + is less than the size of `a` along the given axis, then output is + truncated to the length of the condition array. + a : array_like + Array from which to extract a part. + axis : int, optional + Axis along which to take slices. If None (default), work on the + flattened array. + out : ndarray, optional + Output array. Its type is preserved and it must be of the right + shape to hold the output. + + Returns + ------- + compressed_array : ndarray + A copy of `a` without the slices along axis for which `condition` + is false. + + See Also + -------- + take, choose, diag, diagonal, select + ndarray.compress : Equivalent method in ndarray + extract : Equivalent method when working on 1-D arrays + :ref:`ufuncs-output-type` + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4], [5, 6]]) + >>> a + array([[1, 2], + [3, 4], + [5, 6]]) + >>> np.compress([0, 1], a, axis=0) + array([[3, 4]]) + >>> np.compress([False, True, True], a, axis=0) + array([[3, 4], + [5, 6]]) + >>> np.compress([False, True], a, axis=1) + array([[2], + [4], + [6]]) + + Working on the flattened array does not return slices along an axis but + selects elements. + + >>> np.compress([False, True], a) + array([2]) + + """ + return _wrapfunc(a, 'compress', condition, axis=axis, out=out) + + +def _clip_dispatcher(a, a_min=None, a_max=None, out=None, *, min=None, + max=None, **kwargs): + return (a, a_min, a_max, out, min, max) + + +@array_function_dispatch(_clip_dispatcher) +def clip(a, a_min=np._NoValue, a_max=np._NoValue, out=None, *, + min=np._NoValue, max=np._NoValue, **kwargs): + """ + Clip (limit) the values in an array. + + Given an interval, values outside the interval are clipped to + the interval edges. For example, if an interval of ``[0, 1]`` + is specified, values smaller than 0 become 0, and values larger + than 1 become 1. + + Equivalent to but faster than ``np.minimum(a_max, np.maximum(a, a_min))``. + + No check is performed to ensure ``a_min < a_max``. + + Parameters + ---------- + a : array_like + Array containing elements to clip. + a_min, a_max : array_like or None + Minimum and maximum value. If ``None``, clipping is not performed on + the corresponding edge. If both ``a_min`` and ``a_max`` are ``None``, + the elements of the returned array stay the same. Both are broadcasted + against ``a``. + out : ndarray, optional + The results will be placed in this array. It may be the input + array for in-place clipping. `out` must be of the right shape + to hold the output. Its type is preserved. + min, max : array_like or None + Array API compatible alternatives for ``a_min`` and ``a_max`` + arguments. Either ``a_min`` and ``a_max`` or ``min`` and ``max`` + can be passed at the same time. Default: ``None``. + + .. versionadded:: 2.1.0 + **kwargs + For other keyword-only arguments, see the + :ref:`ufunc docs `. + + Returns + ------- + clipped_array : ndarray + An array with the elements of `a`, but where values + < `a_min` are replaced with `a_min`, and those > `a_max` + with `a_max`. + + See Also + -------- + :ref:`ufuncs-output-type` + + Notes + ----- + When `a_min` is greater than `a_max`, `clip` returns an + array in which all values are equal to `a_max`, + as shown in the second example. + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(10) + >>> a + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + >>> np.clip(a, 1, 8) + array([1, 1, 2, 3, 4, 5, 6, 7, 8, 8]) + >>> np.clip(a, 8, 1) + array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1]) + >>> np.clip(a, 3, 6, out=a) + array([3, 3, 3, 3, 4, 5, 6, 6, 6, 6]) + >>> a + array([3, 3, 3, 3, 4, 5, 6, 6, 6, 6]) + >>> a = np.arange(10) + >>> a + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + >>> np.clip(a, [3, 4, 1, 1, 1, 4, 4, 4, 4, 4], 8) + array([3, 4, 2, 3, 4, 5, 6, 7, 8, 8]) + + """ + if a_min is np._NoValue and a_max is np._NoValue: + a_min = None if min is np._NoValue else min + a_max = None if max is np._NoValue else max + elif a_min is np._NoValue: + raise TypeError("clip() missing 1 required positional " + "argument: 'a_min'") + elif a_max is np._NoValue: + raise TypeError("clip() missing 1 required positional " + "argument: 'a_max'") + elif min is not np._NoValue or max is not np._NoValue: + raise ValueError("Passing `min` or `max` keyword argument when " + "`a_min` and `a_max` are provided is forbidden.") + + return _wrapfunc(a, 'clip', a_min, a_max, out=out, **kwargs) + + +def _sum_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None, + initial=None, where=None): + return (a, out) + + +@array_function_dispatch(_sum_dispatcher) +def sum(a, axis=None, dtype=None, out=None, keepdims=np._NoValue, + initial=np._NoValue, where=np._NoValue): + """ + Sum of array elements over a given axis. + + Parameters + ---------- + a : array_like + Elements to sum. + axis : None or int or tuple of ints, optional + Axis or axes along which a sum is performed. The default, + axis=None, will sum all of the elements of the input array. If + axis is negative it counts from the last to the first axis. If + axis is a tuple of ints, a sum is performed on all of the axes + specified in the tuple instead of a single axis or all the axes as + before. + dtype : dtype, optional + The type of the returned array and of the accumulator in which the + elements are summed. The dtype of `a` is used by default unless `a` + has an integer dtype of less precision than the default platform + integer. In that case, if `a` is signed then the platform integer + is used while if `a` is unsigned then an unsigned integer of the + same precision as the platform integer is used. + out : ndarray, optional + Alternative output array in which to place the result. It must have + the same shape as the expected output, but the type of the output + values will be cast if necessary. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `sum` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + initial : scalar, optional + Starting value for the sum. See `~numpy.ufunc.reduce` for details. + where : array_like of bool, optional + Elements to include in the sum. See `~numpy.ufunc.reduce` for details. + + Returns + ------- + sum_along_axis : ndarray + An array with the same shape as `a`, with the specified + axis removed. If `a` is a 0-d array, or if `axis` is None, a scalar + is returned. If an output array is specified, a reference to + `out` is returned. + + See Also + -------- + ndarray.sum : Equivalent method. + add: ``numpy.add.reduce`` equivalent function. + cumsum : Cumulative sum of array elements. + trapezoid : Integration of array values using composite trapezoidal rule. + + mean, average + + Notes + ----- + Arithmetic is modular when using integer types, and no error is + raised on overflow. + + The sum of an empty array is the neutral element 0: + + >>> np.sum([]) + 0.0 + + For floating point numbers the numerical precision of sum (and + ``np.add.reduce``) is in general limited by directly adding each number + individually to the result causing rounding errors in every step. + However, often numpy will use a numerically better approach (partial + pairwise summation) leading to improved precision in many use-cases. + This improved precision is always provided when no ``axis`` is given. + When ``axis`` is given, it will depend on which axis is summed. + Technically, to provide the best speed possible, the improved precision + is only used when the summation is along the fast axis in memory. + Note that the exact precision may vary depending on other parameters. + In contrast to NumPy, Python's ``math.fsum`` function uses a slower but + more precise approach to summation. + Especially when summing a large number of lower precision floating point + numbers, such as ``float32``, numerical errors can become significant. + In such cases it can be advisable to use `dtype="float64"` to use a higher + precision for the output. + + Examples + -------- + >>> import numpy as np + >>> np.sum([0.5, 1.5]) + 2.0 + >>> np.sum([0.5, 0.7, 0.2, 1.5], dtype=np.int32) + np.int32(1) + >>> np.sum([[0, 1], [0, 5]]) + 6 + >>> np.sum([[0, 1], [0, 5]], axis=0) + array([0, 6]) + >>> np.sum([[0, 1], [0, 5]], axis=1) + array([1, 5]) + >>> np.sum([[0, 1], [np.nan, 5]], where=[False, True], axis=1) + array([1., 5.]) + + If the accumulator is too small, overflow occurs: + + >>> np.ones(128, dtype=np.int8).sum(dtype=np.int8) + np.int8(-128) + + You can also start the sum with a value other than zero: + + >>> np.sum([10], initial=5) + 15 + """ + if isinstance(a, _gentype): + # 2018-02-25, 1.15.0 + warnings.warn( + "Calling np.sum(generator) is deprecated, and in the future will " + "give a different result. Use np.sum(np.fromiter(generator)) or " + "the python sum builtin instead.", + DeprecationWarning, stacklevel=2 + ) + + res = _sum_(a) + if out is not None: + out[...] = res + return out + return res + + return _wrapreduction( + a, np.add, 'sum', axis, dtype, out, + keepdims=keepdims, initial=initial, where=where + ) + + +def _any_dispatcher(a, axis=None, out=None, keepdims=None, *, + where=np._NoValue): + return (a, where, out) + + +@array_function_dispatch(_any_dispatcher) +def any(a, axis=None, out=None, keepdims=np._NoValue, *, where=np._NoValue): + """ + Test whether any array element along a given axis evaluates to True. + + Returns single boolean if `axis` is ``None`` + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array. + axis : None or int or tuple of ints, optional + Axis or axes along which a logical OR reduction is performed. + The default (``axis=None``) is to perform a logical OR over all + the dimensions of the input array. `axis` may be negative, in + which case it counts from the last to the first axis. If this + is a tuple of ints, a reduction is performed on multiple + axes, instead of a single axis or all the axes as before. + out : ndarray, optional + Alternate output array in which to place the result. It must have + the same shape as the expected output and its type is preserved + (e.g., if it is of type float, then it will remain so, returning + 1.0 for True and 0.0 for False, regardless of the type of `a`). + See :ref:`ufuncs-output-type` for more details. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `any` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + + where : array_like of bool, optional + Elements to include in checking for any `True` values. + See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.20.0 + + Returns + ------- + any : bool or ndarray + A new boolean or `ndarray` is returned unless `out` is specified, + in which case a reference to `out` is returned. + + See Also + -------- + ndarray.any : equivalent method + + all : Test whether all elements along a given axis evaluate to True. + + Notes + ----- + Not a Number (NaN), positive infinity and negative infinity evaluate + to `True` because these are not equal to zero. + + .. versionchanged:: 2.0 + Before NumPy 2.0, ``any`` did not return booleans for object dtype + input arrays. + This behavior is still available via ``np.logical_or.reduce``. + + Examples + -------- + >>> import numpy as np + >>> np.any([[True, False], [True, True]]) + True + + >>> np.any([[True, False, True ], + ... [False, False, False]], axis=0) + array([ True, False, True]) + + >>> np.any([-1, 0, 5]) + True + + >>> np.any([[np.nan], [np.inf]], axis=1, keepdims=True) + array([[ True], + [ True]]) + + >>> np.any([[True, False], [False, False]], where=[[False], [True]]) + False + + >>> a = np.array([[1, 0, 0], + ... [0, 0, 1], + ... [0, 0, 0]]) + >>> np.any(a, axis=0) + array([ True, False, True]) + >>> np.any(a, axis=1) + array([ True, True, False]) + + >>> o=np.array(False) + >>> z=np.any([-1, 4, 5], out=o) + >>> z, o + (array(True), array(True)) + >>> # Check now that z is a reference to o + >>> z is o + True + >>> id(z), id(o) # identity of z and o # doctest: +SKIP + (191614240, 191614240) + + """ + return _wrapreduction_any_all(a, np.logical_or, 'any', axis, out, + keepdims=keepdims, where=where) + + +def _all_dispatcher(a, axis=None, out=None, keepdims=None, *, + where=None): + return (a, where, out) + + +@array_function_dispatch(_all_dispatcher) +def all(a, axis=None, out=None, keepdims=np._NoValue, *, where=np._NoValue): + """ + Test whether all array elements along a given axis evaluate to True. + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array. + axis : None or int or tuple of ints, optional + Axis or axes along which a logical AND reduction is performed. + The default (``axis=None``) is to perform a logical AND over all + the dimensions of the input array. `axis` may be negative, in + which case it counts from the last to the first axis. If this + is a tuple of ints, a reduction is performed on multiple + axes, instead of a single axis or all the axes as before. + out : ndarray, optional + Alternate output array in which to place the result. + It must have the same shape as the expected output and its + type is preserved (e.g., if ``dtype(out)`` is float, the result + will consist of 0.0's and 1.0's). See :ref:`ufuncs-output-type` + for more details. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `all` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + + where : array_like of bool, optional + Elements to include in checking for all `True` values. + See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.20.0 + + Returns + ------- + all : ndarray, bool + A new boolean or array is returned unless `out` is specified, + in which case a reference to `out` is returned. + + See Also + -------- + ndarray.all : equivalent method + + any : Test whether any element along a given axis evaluates to True. + + Notes + ----- + Not a Number (NaN), positive infinity and negative infinity + evaluate to `True` because these are not equal to zero. + + .. versionchanged:: 2.0 + Before NumPy 2.0, ``all`` did not return booleans for object dtype + input arrays. + This behavior is still available via ``np.logical_and.reduce``. + + Examples + -------- + >>> import numpy as np + >>> np.all([[True,False],[True,True]]) + False + + >>> np.all([[True,False],[True,True]], axis=0) + array([ True, False]) + + >>> np.all([-1, 4, 5]) + True + + >>> np.all([1.0, np.nan]) + True + + >>> np.all([[True, True], [False, True]], where=[[True], [False]]) + True + + >>> o=np.array(False) + >>> z=np.all([-1, 4, 5], out=o) + >>> id(z), id(o), z + (28293632, 28293632, array(True)) # may vary + + """ + return _wrapreduction_any_all(a, np.logical_and, 'all', axis, out, + keepdims=keepdims, where=where) + + +def _cumulative_func(x, func, axis, dtype, out, include_initial): + x = np.atleast_1d(x) + x_ndim = x.ndim + if axis is None: + if x_ndim >= 2: + raise ValueError("For arrays which have more than one dimension " + "``axis`` argument is required.") + axis = 0 + + if out is not None and include_initial: + item = [slice(None)] * x_ndim + item[axis] = slice(1, None) + func.accumulate(x, axis=axis, dtype=dtype, out=out[tuple(item)]) + item[axis] = 0 + out[tuple(item)] = func.identity + return out + + res = func.accumulate(x, axis=axis, dtype=dtype, out=out) + if include_initial: + initial_shape = list(x.shape) + initial_shape[axis] = 1 + res = np.concat( + [np.full_like(res, func.identity, shape=initial_shape), res], + axis=axis, + ) + + return res + + +def _cumulative_prod_dispatcher(x, /, *, axis=None, dtype=None, out=None, + include_initial=None): + return (x, out) + + +@array_function_dispatch(_cumulative_prod_dispatcher) +def cumulative_prod(x, /, *, axis=None, dtype=None, out=None, + include_initial=False): + """ + Return the cumulative product of elements along a given axis. + + This function is an Array API compatible alternative to `numpy.cumprod`. + + Parameters + ---------- + x : array_like + Input array. + axis : int, optional + Axis along which the cumulative product is computed. The default + (None) is only allowed for one-dimensional arrays. For arrays + with more than one dimension ``axis`` is required. + dtype : dtype, optional + Type of the returned array, as well as of the accumulator in which + the elements are multiplied. If ``dtype`` is not specified, it + defaults to the dtype of ``x``, unless ``x`` has an integer dtype + with a precision less than that of the default platform integer. + In that case, the default platform integer is used instead. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type of the resulting values will be cast if necessary. + See :ref:`ufuncs-output-type` for more details. + include_initial : bool, optional + Boolean indicating whether to include the initial value (ones) as + the first value in the output. With ``include_initial=True`` + the shape of the output is different than the shape of the input. + Default: ``False``. + + Returns + ------- + cumulative_prod_along_axis : ndarray + A new array holding the result is returned unless ``out`` is + specified, in which case a reference to ``out`` is returned. The + result has the same shape as ``x`` if ``include_initial=False``. + + Notes + ----- + Arithmetic is modular when using integer types, and no error is + raised on overflow. + + Examples + -------- + >>> a = np.array([1, 2, 3]) + >>> np.cumulative_prod(a) # intermediate results 1, 1*2 + ... # total product 1*2*3 = 6 + array([1, 2, 6]) + >>> a = np.array([1, 2, 3, 4, 5, 6]) + >>> np.cumulative_prod(a, dtype=float) # specify type of output + array([ 1., 2., 6., 24., 120., 720.]) + + The cumulative product for each column (i.e., over the rows) of ``b``: + + >>> b = np.array([[1, 2, 3], [4, 5, 6]]) + >>> np.cumulative_prod(b, axis=0) + array([[ 1, 2, 3], + [ 4, 10, 18]]) + + The cumulative product for each row (i.e. over the columns) of ``b``: + + >>> np.cumulative_prod(b, axis=1) + array([[ 1, 2, 6], + [ 4, 20, 120]]) + + """ + return _cumulative_func(x, um.multiply, axis, dtype, out, include_initial) + + +def _cumulative_sum_dispatcher(x, /, *, axis=None, dtype=None, out=None, + include_initial=None): + return (x, out) + + +@array_function_dispatch(_cumulative_sum_dispatcher) +def cumulative_sum(x, /, *, axis=None, dtype=None, out=None, + include_initial=False): + """ + Return the cumulative sum of the elements along a given axis. + + This function is an Array API compatible alternative to `numpy.cumsum`. + + Parameters + ---------- + x : array_like + Input array. + axis : int, optional + Axis along which the cumulative sum is computed. The default + (None) is only allowed for one-dimensional arrays. For arrays + with more than one dimension ``axis`` is required. + dtype : dtype, optional + Type of the returned array and of the accumulator in which the + elements are summed. If ``dtype`` is not specified, it defaults + to the dtype of ``x``, unless ``x`` has an integer dtype with + a precision less than that of the default platform integer. + In that case, the default platform integer is used. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type will be cast if necessary. See :ref:`ufuncs-output-type` + for more details. + include_initial : bool, optional + Boolean indicating whether to include the initial value (zeros) as + the first value in the output. With ``include_initial=True`` + the shape of the output is different than the shape of the input. + Default: ``False``. + + Returns + ------- + cumulative_sum_along_axis : ndarray + A new array holding the result is returned unless ``out`` is + specified, in which case a reference to ``out`` is returned. The + result has the same shape as ``x`` if ``include_initial=False``. + + See Also + -------- + sum : Sum array elements. + trapezoid : Integration of array values using composite trapezoidal rule. + diff : Calculate the n-th discrete difference along given axis. + + Notes + ----- + Arithmetic is modular when using integer types, and no error is + raised on overflow. + + ``cumulative_sum(a)[-1]`` may not be equal to ``sum(a)`` for + floating-point values since ``sum`` may use a pairwise summation routine, + reducing the roundoff-error. See `sum` for more information. + + Examples + -------- + >>> a = np.array([1, 2, 3, 4, 5, 6]) + >>> a + array([1, 2, 3, 4, 5, 6]) + >>> np.cumulative_sum(a) + array([ 1, 3, 6, 10, 15, 21]) + >>> np.cumulative_sum(a, dtype=float) # specifies type of output value(s) + array([ 1., 3., 6., 10., 15., 21.]) + + >>> b = np.array([[1, 2, 3], [4, 5, 6]]) + >>> np.cumulative_sum(b,axis=0) # sum over rows for each of the 3 columns + array([[1, 2, 3], + [5, 7, 9]]) + >>> np.cumulative_sum(b,axis=1) # sum over columns for each of the 2 rows + array([[ 1, 3, 6], + [ 4, 9, 15]]) + + ``cumulative_sum(c)[-1]`` may not be equal to ``sum(c)`` + + >>> c = np.array([1, 2e-9, 3e-9] * 1000000) + >>> np.cumulative_sum(c)[-1] + 1000000.0050045159 + >>> c.sum() + 1000000.0050000029 + + """ + return _cumulative_func(x, um.add, axis, dtype, out, include_initial) + + +def _cumsum_dispatcher(a, axis=None, dtype=None, out=None): + return (a, out) + + +@array_function_dispatch(_cumsum_dispatcher) +def cumsum(a, axis=None, dtype=None, out=None): + """ + Return the cumulative sum of the elements along a given axis. + + Parameters + ---------- + a : array_like + Input array. + axis : int, optional + Axis along which the cumulative sum is computed. The default + (None) is to compute the cumsum over the flattened array. + dtype : dtype, optional + Type of the returned array and of the accumulator in which the + elements are summed. If `dtype` is not specified, it defaults + to the dtype of `a`, unless `a` has an integer dtype with a + precision less than that of the default platform integer. In + that case, the default platform integer is used. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type will be cast if necessary. See :ref:`ufuncs-output-type` + for more details. + + Returns + ------- + cumsum_along_axis : ndarray. + A new array holding the result is returned unless `out` is + specified, in which case a reference to `out` is returned. The + result has the same size as `a`, and the same shape as `a` if + `axis` is not None or `a` is a 1-d array. + + See Also + -------- + cumulative_sum : Array API compatible alternative for ``cumsum``. + sum : Sum array elements. + trapezoid : Integration of array values using composite trapezoidal rule. + diff : Calculate the n-th discrete difference along given axis. + + Notes + ----- + Arithmetic is modular when using integer types, and no error is + raised on overflow. + + ``cumsum(a)[-1]`` may not be equal to ``sum(a)`` for floating-point + values since ``sum`` may use a pairwise summation routine, reducing + the roundoff-error. See `sum` for more information. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1,2,3], [4,5,6]]) + >>> a + array([[1, 2, 3], + [4, 5, 6]]) + >>> np.cumsum(a) + array([ 1, 3, 6, 10, 15, 21]) + >>> np.cumsum(a, dtype=float) # specifies type of output value(s) + array([ 1., 3., 6., 10., 15., 21.]) + + >>> np.cumsum(a,axis=0) # sum over rows for each of the 3 columns + array([[1, 2, 3], + [5, 7, 9]]) + >>> np.cumsum(a,axis=1) # sum over columns for each of the 2 rows + array([[ 1, 3, 6], + [ 4, 9, 15]]) + + ``cumsum(b)[-1]`` may not be equal to ``sum(b)`` + + >>> b = np.array([1, 2e-9, 3e-9] * 1000000) + >>> b.cumsum()[-1] + 1000000.0050045159 + >>> b.sum() + 1000000.0050000029 + + """ + return _wrapfunc(a, 'cumsum', axis=axis, dtype=dtype, out=out) + + +def _ptp_dispatcher(a, axis=None, out=None, keepdims=None): + return (a, out) + + +@array_function_dispatch(_ptp_dispatcher) +def ptp(a, axis=None, out=None, keepdims=np._NoValue): + """ + Range of values (maximum - minimum) along an axis. + + The name of the function comes from the acronym for 'peak to peak'. + + .. warning:: + `ptp` preserves the data type of the array. This means the + return value for an input of signed integers with n bits + (e.g. `numpy.int8`, `numpy.int16`, etc) is also a signed integer + with n bits. In that case, peak-to-peak values greater than + ``2**(n-1)-1`` will be returned as negative values. An example + with a work-around is shown below. + + Parameters + ---------- + a : array_like + Input values. + axis : None or int or tuple of ints, optional + Axis along which to find the peaks. By default, flatten the + array. `axis` may be negative, in + which case it counts from the last to the first axis. + If this is a tuple of ints, a reduction is performed on multiple + axes, instead of a single axis or all the axes as before. + out : array_like + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output, + but the type of the output values will be cast if necessary. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `ptp` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + + Returns + ------- + ptp : ndarray or scalar + The range of a given array - `scalar` if array is one-dimensional + or a new array holding the result along the given axis + + Examples + -------- + >>> import numpy as np + >>> x = np.array([[4, 9, 2, 10], + ... [6, 9, 7, 12]]) + + >>> np.ptp(x, axis=1) + array([8, 6]) + + >>> np.ptp(x, axis=0) + array([2, 0, 5, 2]) + + >>> np.ptp(x) + 10 + + This example shows that a negative value can be returned when + the input is an array of signed integers. + + >>> y = np.array([[1, 127], + ... [0, 127], + ... [-1, 127], + ... [-2, 127]], dtype=np.int8) + >>> np.ptp(y, axis=1) + array([ 126, 127, -128, -127], dtype=int8) + + A work-around is to use the `view()` method to view the result as + unsigned integers with the same bit width: + + >>> np.ptp(y, axis=1).view(np.uint8) + array([126, 127, 128, 129], dtype=uint8) + + """ + kwargs = {} + if keepdims is not np._NoValue: + kwargs['keepdims'] = keepdims + return _methods._ptp(a, axis=axis, out=out, **kwargs) + + +def _max_dispatcher(a, axis=None, out=None, keepdims=None, initial=None, + where=None): + return (a, out) + + +@array_function_dispatch(_max_dispatcher) +@set_module('numpy') +def max(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue, + where=np._NoValue): + """ + Return the maximum of an array or maximum along an axis. + + Parameters + ---------- + a : array_like + Input data. + axis : None or int or tuple of ints, optional + Axis or axes along which to operate. By default, flattened input is + used. If this is a tuple of ints, the maximum is selected over + multiple axes, instead of a single axis or all the axes as before. + + out : ndarray, optional + Alternative output array in which to place the result. Must + be of the same shape and buffer length as the expected output. + See :ref:`ufuncs-output-type` for more details. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the ``max`` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + + initial : scalar, optional + The minimum value of an output element. Must be present to allow + computation on empty slice. See `~numpy.ufunc.reduce` for details. + + where : array_like of bool, optional + Elements to compare for the maximum. See `~numpy.ufunc.reduce` + for details. + + Returns + ------- + max : ndarray or scalar + Maximum of `a`. If `axis` is None, the result is a scalar value. + If `axis` is an int, the result is an array of dimension + ``a.ndim - 1``. If `axis` is a tuple, the result is an array of + dimension ``a.ndim - len(axis)``. + + See Also + -------- + amin : + The minimum value of an array along a given axis, propagating any NaNs. + nanmax : + The maximum value of an array along a given axis, ignoring any NaNs. + maximum : + Element-wise maximum of two arrays, propagating any NaNs. + fmax : + Element-wise maximum of two arrays, ignoring any NaNs. + argmax : + Return the indices of the maximum values. + + nanmin, minimum, fmin + + Notes + ----- + NaN values are propagated, that is if at least one item is NaN, the + corresponding max value will be NaN as well. To ignore NaN values + (MATLAB behavior), please use nanmax. + + Don't use `~numpy.max` for element-wise comparison of 2 arrays; when + ``a.shape[0]`` is 2, ``maximum(a[0], a[1])`` is faster than + ``max(a, axis=0)``. + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(4).reshape((2,2)) + >>> a + array([[0, 1], + [2, 3]]) + >>> np.max(a) # Maximum of the flattened array + 3 + >>> np.max(a, axis=0) # Maxima along the first axis + array([2, 3]) + >>> np.max(a, axis=1) # Maxima along the second axis + array([1, 3]) + >>> np.max(a, where=[False, True], initial=-1, axis=0) + array([-1, 3]) + >>> b = np.arange(5, dtype=float) + >>> b[2] = np.nan + >>> np.max(b) + np.float64(nan) + >>> np.max(b, where=~np.isnan(b), initial=-1) + 4.0 + >>> np.nanmax(b) + 4.0 + + You can use an initial value to compute the maximum of an empty slice, or + to initialize it to a different value: + + >>> np.max([[-50], [10]], axis=-1, initial=0) + array([ 0, 10]) + + Notice that the initial value is used as one of the elements for which the + maximum is determined, unlike for the default argument Python's max + function, which is only used for empty iterables. + + >>> np.max([5], initial=6) + 6 + >>> max([5], default=6) + 5 + """ + return _wrapreduction(a, np.maximum, 'max', axis, None, out, + keepdims=keepdims, initial=initial, where=where) + + +@array_function_dispatch(_max_dispatcher) +def amax(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue, + where=np._NoValue): + """ + Return the maximum of an array or maximum along an axis. + + `amax` is an alias of `~numpy.max`. + + See Also + -------- + max : alias of this function + ndarray.max : equivalent method + """ + return _wrapreduction(a, np.maximum, 'max', axis, None, out, + keepdims=keepdims, initial=initial, where=where) + + +def _min_dispatcher(a, axis=None, out=None, keepdims=None, initial=None, + where=None): + return (a, out) + + +@array_function_dispatch(_min_dispatcher) +def min(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue, + where=np._NoValue): + """ + Return the minimum of an array or minimum along an axis. + + Parameters + ---------- + a : array_like + Input data. + axis : None or int or tuple of ints, optional + Axis or axes along which to operate. By default, flattened input is + used. + + If this is a tuple of ints, the minimum is selected over multiple axes, + instead of a single axis or all the axes as before. + out : ndarray, optional + Alternative output array in which to place the result. Must + be of the same shape and buffer length as the expected output. + See :ref:`ufuncs-output-type` for more details. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the ``min`` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + + initial : scalar, optional + The maximum value of an output element. Must be present to allow + computation on empty slice. See `~numpy.ufunc.reduce` for details. + + where : array_like of bool, optional + Elements to compare for the minimum. See `~numpy.ufunc.reduce` + for details. + + Returns + ------- + min : ndarray or scalar + Minimum of `a`. If `axis` is None, the result is a scalar value. + If `axis` is an int, the result is an array of dimension + ``a.ndim - 1``. If `axis` is a tuple, the result is an array of + dimension ``a.ndim - len(axis)``. + + See Also + -------- + amax : + The maximum value of an array along a given axis, propagating any NaNs. + nanmin : + The minimum value of an array along a given axis, ignoring any NaNs. + minimum : + Element-wise minimum of two arrays, propagating any NaNs. + fmin : + Element-wise minimum of two arrays, ignoring any NaNs. + argmin : + Return the indices of the minimum values. + + nanmax, maximum, fmax + + Notes + ----- + NaN values are propagated, that is if at least one item is NaN, the + corresponding min value will be NaN as well. To ignore NaN values + (MATLAB behavior), please use nanmin. + + Don't use `~numpy.min` for element-wise comparison of 2 arrays; when + ``a.shape[0]`` is 2, ``minimum(a[0], a[1])`` is faster than + ``min(a, axis=0)``. + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(4).reshape((2,2)) + >>> a + array([[0, 1], + [2, 3]]) + >>> np.min(a) # Minimum of the flattened array + 0 + >>> np.min(a, axis=0) # Minima along the first axis + array([0, 1]) + >>> np.min(a, axis=1) # Minima along the second axis + array([0, 2]) + >>> np.min(a, where=[False, True], initial=10, axis=0) + array([10, 1]) + + >>> b = np.arange(5, dtype=float) + >>> b[2] = np.nan + >>> np.min(b) + np.float64(nan) + >>> np.min(b, where=~np.isnan(b), initial=10) + 0.0 + >>> np.nanmin(b) + 0.0 + + >>> np.min([[-50], [10]], axis=-1, initial=0) + array([-50, 0]) + + Notice that the initial value is used as one of the elements for which the + minimum is determined, unlike for the default argument Python's max + function, which is only used for empty iterables. + + Notice that this isn't the same as Python's ``default`` argument. + + >>> np.min([6], initial=5) + 5 + >>> min([6], default=5) + 6 + """ + return _wrapreduction(a, np.minimum, 'min', axis, None, out, + keepdims=keepdims, initial=initial, where=where) + + +@array_function_dispatch(_min_dispatcher) +def amin(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue, + where=np._NoValue): + """ + Return the minimum of an array or minimum along an axis. + + `amin` is an alias of `~numpy.min`. + + See Also + -------- + min : alias of this function + ndarray.min : equivalent method + """ + return _wrapreduction(a, np.minimum, 'min', axis, None, out, + keepdims=keepdims, initial=initial, where=where) + + +def _prod_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None, + initial=None, where=None): + return (a, out) + + +@array_function_dispatch(_prod_dispatcher) +def prod(a, axis=None, dtype=None, out=None, keepdims=np._NoValue, + initial=np._NoValue, where=np._NoValue): + """ + Return the product of array elements over a given axis. + + Parameters + ---------- + a : array_like + Input data. + axis : None or int or tuple of ints, optional + Axis or axes along which a product is performed. The default, + axis=None, will calculate the product of all the elements in the + input array. If axis is negative it counts from the last to the + first axis. + + If axis is a tuple of ints, a product is performed on all of the + axes specified in the tuple instead of a single axis or all the + axes as before. + dtype : dtype, optional + The type of the returned array, as well as of the accumulator in + which the elements are multiplied. The dtype of `a` is used by + default unless `a` has an integer dtype of less precision than the + default platform integer. In that case, if `a` is signed then the + platform integer is used while if `a` is unsigned then an unsigned + integer of the same precision as the platform integer is used. + out : ndarray, optional + Alternative output array in which to place the result. It must have + the same shape as the expected output, but the type of the output + values will be cast if necessary. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left in the + result as dimensions with size one. With this option, the result + will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `prod` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + initial : scalar, optional + The starting value for this product. See `~numpy.ufunc.reduce` + for details. + where : array_like of bool, optional + Elements to include in the product. See `~numpy.ufunc.reduce` + for details. + + Returns + ------- + product_along_axis : ndarray, see `dtype` parameter above. + An array shaped as `a` but with the specified axis removed. + Returns a reference to `out` if specified. + + See Also + -------- + ndarray.prod : equivalent method + :ref:`ufuncs-output-type` + + Notes + ----- + Arithmetic is modular when using integer types, and no error is + raised on overflow. That means that, on a 32-bit platform: + + >>> x = np.array([536870910, 536870910, 536870910, 536870910]) + >>> np.prod(x) + 16 # may vary + + The product of an empty array is the neutral element 1: + + >>> np.prod([]) + 1.0 + + Examples + -------- + By default, calculate the product of all elements: + + >>> import numpy as np + >>> np.prod([1.,2.]) + 2.0 + + Even when the input array is two-dimensional: + + >>> a = np.array([[1., 2.], [3., 4.]]) + >>> np.prod(a) + 24.0 + + But we can also specify the axis over which to multiply: + + >>> np.prod(a, axis=1) + array([ 2., 12.]) + >>> np.prod(a, axis=0) + array([3., 8.]) + + Or select specific elements to include: + + >>> np.prod([1., np.nan, 3.], where=[True, False, True]) + 3.0 + + If the type of `x` is unsigned, then the output type is + the unsigned platform integer: + + >>> x = np.array([1, 2, 3], dtype=np.uint8) + >>> np.prod(x).dtype == np.uint + True + + If `x` is of a signed integer type, then the output type + is the default platform integer: + + >>> x = np.array([1, 2, 3], dtype=np.int8) + >>> np.prod(x).dtype == int + True + + You can also start the product with a value other than one: + + >>> np.prod([1, 2], initial=5) + 10 + """ + return _wrapreduction(a, np.multiply, 'prod', axis, dtype, out, + keepdims=keepdims, initial=initial, where=where) + + +def _cumprod_dispatcher(a, axis=None, dtype=None, out=None): + return (a, out) + + +@array_function_dispatch(_cumprod_dispatcher) +def cumprod(a, axis=None, dtype=None, out=None): + """ + Return the cumulative product of elements along a given axis. + + Parameters + ---------- + a : array_like + Input array. + axis : int, optional + Axis along which the cumulative product is computed. By default + the input is flattened. + dtype : dtype, optional + Type of the returned array, as well as of the accumulator in which + the elements are multiplied. If *dtype* is not specified, it + defaults to the dtype of `a`, unless `a` has an integer dtype with + a precision less than that of the default platform integer. In + that case, the default platform integer is used instead. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type of the resulting values will be cast if necessary. + + Returns + ------- + cumprod : ndarray + A new array holding the result is returned unless `out` is + specified, in which case a reference to out is returned. + + See Also + -------- + cumulative_prod : Array API compatible alternative for ``cumprod``. + :ref:`ufuncs-output-type` + + Notes + ----- + Arithmetic is modular when using integer types, and no error is + raised on overflow. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([1,2,3]) + >>> np.cumprod(a) # intermediate results 1, 1*2 + ... # total product 1*2*3 = 6 + array([1, 2, 6]) + >>> a = np.array([[1, 2, 3], [4, 5, 6]]) + >>> np.cumprod(a, dtype=float) # specify type of output + array([ 1., 2., 6., 24., 120., 720.]) + + The cumulative product for each column (i.e., over the rows) of `a`: + + >>> np.cumprod(a, axis=0) + array([[ 1, 2, 3], + [ 4, 10, 18]]) + + The cumulative product for each row (i.e. over the columns) of `a`: + + >>> np.cumprod(a,axis=1) + array([[ 1, 2, 6], + [ 4, 20, 120]]) + + """ + return _wrapfunc(a, 'cumprod', axis=axis, dtype=dtype, out=out) + + +def _ndim_dispatcher(a): + return (a,) + + +@array_function_dispatch(_ndim_dispatcher) +def ndim(a): + """ + Return the number of dimensions of an array. + + Parameters + ---------- + a : array_like + Input array. If it is not already an ndarray, a conversion is + attempted. + + Returns + ------- + number_of_dimensions : int + The number of dimensions in `a`. Scalars are zero-dimensional. + + See Also + -------- + ndarray.ndim : equivalent method + shape : dimensions of array + ndarray.shape : dimensions of array + + Examples + -------- + >>> import numpy as np + >>> np.ndim([[1,2,3],[4,5,6]]) + 2 + >>> np.ndim(np.array([[1,2,3],[4,5,6]])) + 2 + >>> np.ndim(1) + 0 + + """ + try: + return a.ndim + except AttributeError: + return asarray(a).ndim + + +def _size_dispatcher(a, axis=None): + return (a,) + + +@array_function_dispatch(_size_dispatcher) +def size(a, axis=None): + """ + Return the number of elements along a given axis. + + Parameters + ---------- + a : array_like + Input data. + axis : int, optional + Axis along which the elements are counted. By default, give + the total number of elements. + + Returns + ------- + element_count : int + Number of elements along the specified axis. + + See Also + -------- + shape : dimensions of array + ndarray.shape : dimensions of array + ndarray.size : number of elements in array + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1,2,3],[4,5,6]]) + >>> np.size(a) + 6 + >>> np.size(a,1) + 3 + >>> np.size(a,0) + 2 + + """ + if axis is None: + try: + return a.size + except AttributeError: + return asarray(a).size + else: + try: + return a.shape[axis] + except AttributeError: + return asarray(a).shape[axis] + + +def _round_dispatcher(a, decimals=None, out=None): + return (a, out) + + +@array_function_dispatch(_round_dispatcher) +def round(a, decimals=0, out=None): + """ + Evenly round to the given number of decimals. + + Parameters + ---------- + a : array_like + Input data. + decimals : int, optional + Number of decimal places to round to (default: 0). If + decimals is negative, it specifies the number of positions to + the left of the decimal point. + out : ndarray, optional + Alternative output array in which to place the result. It must have + the same shape as the expected output, but the type of the output + values will be cast if necessary. See :ref:`ufuncs-output-type` + for more details. + + Returns + ------- + rounded_array : ndarray + An array of the same type as `a`, containing the rounded values. + Unless `out` was specified, a new array is created. A reference to + the result is returned. + + The real and imaginary parts of complex numbers are rounded + separately. The result of rounding a float is a float. + + See Also + -------- + ndarray.round : equivalent method + around : an alias for this function + ceil, fix, floor, rint, trunc + + + Notes + ----- + For values exactly halfway between rounded decimal values, NumPy + rounds to the nearest even value. Thus 1.5 and 2.5 round to 2.0, + -0.5 and 0.5 round to 0.0, etc. + + ``np.round`` uses a fast but sometimes inexact algorithm to round + floating-point datatypes. For positive `decimals` it is equivalent to + ``np.true_divide(np.rint(a * 10**decimals), 10**decimals)``, which has + error due to the inexact representation of decimal fractions in the IEEE + floating point standard [1]_ and errors introduced when scaling by powers + of ten. For instance, note the extra "1" in the following: + + >>> np.round(56294995342131.5, 3) + 56294995342131.51 + + If your goal is to print such values with a fixed number of decimals, it is + preferable to use numpy's float printing routines to limit the number of + printed decimals: + + >>> np.format_float_positional(56294995342131.5, precision=3) + '56294995342131.5' + + The float printing routines use an accurate but much more computationally + demanding algorithm to compute the number of digits after the decimal + point. + + Alternatively, Python's builtin `round` function uses a more accurate + but slower algorithm for 64-bit floating point values: + + >>> round(56294995342131.5, 3) + 56294995342131.5 + >>> np.round(16.055, 2), round(16.055, 2) # equals 16.0549999999999997 + (16.06, 16.05) + + + References + ---------- + .. [1] "Lecture Notes on the Status of IEEE 754", William Kahan, + https://people.eecs.berkeley.edu/~wkahan/ieee754status/IEEE754.PDF + + Examples + -------- + >>> import numpy as np + >>> np.round([0.37, 1.64]) + array([0., 2.]) + >>> np.round([0.37, 1.64], decimals=1) + array([0.4, 1.6]) + >>> np.round([.5, 1.5, 2.5, 3.5, 4.5]) # rounds to nearest even value + array([0., 2., 2., 4., 4.]) + >>> np.round([1,2,3,11], decimals=1) # ndarray of ints is returned + array([ 1, 2, 3, 11]) + >>> np.round([1,2,3,11], decimals=-1) + array([ 0, 0, 0, 10]) + + """ + return _wrapfunc(a, 'round', decimals=decimals, out=out) + + +@array_function_dispatch(_round_dispatcher) +def around(a, decimals=0, out=None): + """ + Round an array to the given number of decimals. + + `around` is an alias of `~numpy.round`. + + See Also + -------- + ndarray.round : equivalent method + round : alias for this function + ceil, fix, floor, rint, trunc + + """ + return _wrapfunc(a, 'round', decimals=decimals, out=out) + + +def _mean_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None, *, + where=None): + return (a, where, out) + + +@array_function_dispatch(_mean_dispatcher) +def mean(a, axis=None, dtype=None, out=None, keepdims=np._NoValue, *, + where=np._NoValue): + """ + Compute the arithmetic mean along the specified axis. + + Returns the average of the array elements. The average is taken over + the flattened array by default, otherwise over the specified axis. + `float64` intermediate and return values are used for integer inputs. + + Parameters + ---------- + a : array_like + Array containing numbers whose mean is desired. If `a` is not an + array, a conversion is attempted. + axis : None or int or tuple of ints, optional + Axis or axes along which the means are computed. The default is to + compute the mean of the flattened array. + + If this is a tuple of ints, a mean is performed over multiple axes, + instead of a single axis or all the axes as before. + dtype : data-type, optional + Type to use in computing the mean. For integer inputs, the default + is `float64`; for floating point inputs, it is the same as the + input dtype. + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``; if provided, it must have the same shape as the + expected output, but the type will be cast if necessary. + See :ref:`ufuncs-output-type` for more details. + See :ref:`ufuncs-output-type` for more details. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `mean` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + + where : array_like of bool, optional + Elements to include in the mean. See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.20.0 + + Returns + ------- + m : ndarray, see dtype parameter above + If `out=None`, returns a new array containing the mean values, + otherwise a reference to the output array is returned. + + See Also + -------- + average : Weighted average + std, var, nanmean, nanstd, nanvar + + Notes + ----- + The arithmetic mean is the sum of the elements along the axis divided + by the number of elements. + + Note that for floating-point input, the mean is computed using the + same precision the input has. Depending on the input data, this can + cause the results to be inaccurate, especially for `float32` (see + example below). Specifying a higher-precision accumulator using the + `dtype` keyword can alleviate this issue. + + By default, `float16` results are computed using `float32` intermediates + for extra precision. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> np.mean(a) + 2.5 + >>> np.mean(a, axis=0) + array([2., 3.]) + >>> np.mean(a, axis=1) + array([1.5, 3.5]) + + In single precision, `mean` can be inaccurate: + + >>> a = np.zeros((2, 512*512), dtype=np.float32) + >>> a[0, :] = 1.0 + >>> a[1, :] = 0.1 + >>> np.mean(a) + np.float32(0.54999924) + + Computing the mean in float64 is more accurate: + + >>> np.mean(a, dtype=np.float64) + 0.55000000074505806 # may vary + + Computing the mean in timedelta64 is available: + + >>> b = np.array([1, 3], dtype="timedelta64[D]") + >>> np.mean(b) + np.timedelta64(2,'D') + + Specifying a where argument: + + >>> a = np.array([[5, 9, 13], [14, 10, 12], [11, 15, 19]]) + >>> np.mean(a) + 12.0 + >>> np.mean(a, where=[[True], [False], [False]]) + 9.0 + + """ + kwargs = {} + if keepdims is not np._NoValue: + kwargs['keepdims'] = keepdims + if where is not np._NoValue: + kwargs['where'] = where + if type(a) is not mu.ndarray: + try: + mean = a.mean + except AttributeError: + pass + else: + return mean(axis=axis, dtype=dtype, out=out, **kwargs) + + return _methods._mean(a, axis=axis, dtype=dtype, + out=out, **kwargs) + + +def _std_dispatcher(a, axis=None, dtype=None, out=None, ddof=None, + keepdims=None, *, where=None, mean=None, correction=None): + return (a, where, out, mean) + + +@array_function_dispatch(_std_dispatcher) +def std(a, axis=None, dtype=None, out=None, ddof=0, keepdims=np._NoValue, *, + where=np._NoValue, mean=np._NoValue, correction=np._NoValue): + r""" + Compute the standard deviation along the specified axis. + + Returns the standard deviation, a measure of the spread of a distribution, + of the array elements. The standard deviation is computed for the + flattened array by default, otherwise over the specified axis. + + Parameters + ---------- + a : array_like + Calculate the standard deviation of these values. + axis : None or int or tuple of ints, optional + Axis or axes along which the standard deviation is computed. The + default is to compute the standard deviation of the flattened array. + If this is a tuple of ints, a standard deviation is performed over + multiple axes, instead of a single axis or all the axes as before. + dtype : dtype, optional + Type to use in computing the standard deviation. For arrays of + integer type the default is float64, for arrays of float types it is + the same as the array type. + out : ndarray, optional + Alternative output array in which to place the result. It must have + the same shape as the expected output but the type (of the calculated + values) will be cast if necessary. + See :ref:`ufuncs-output-type` for more details. + ddof : {int, float}, optional + Means Delta Degrees of Freedom. The divisor used in calculations + is ``N - ddof``, where ``N`` represents the number of elements. + By default `ddof` is zero. See Notes for details about use of `ddof`. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `std` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + where : array_like of bool, optional + Elements to include in the standard deviation. + See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.20.0 + + mean : array_like, optional + Provide the mean to prevent its recalculation. The mean should have + a shape as if it was calculated with ``keepdims=True``. + The axis for the calculation of the mean should be the same as used in + the call to this std function. + + .. versionadded:: 2.0.0 + + correction : {int, float}, optional + Array API compatible name for the ``ddof`` parameter. Only one of them + can be provided at the same time. + + .. versionadded:: 2.0.0 + + Returns + ------- + standard_deviation : ndarray, see dtype parameter above. + If `out` is None, return a new array containing the standard deviation, + otherwise return a reference to the output array. + + See Also + -------- + var, mean, nanmean, nanstd, nanvar + :ref:`ufuncs-output-type` + + Notes + ----- + There are several common variants of the array standard deviation + calculation. Assuming the input `a` is a one-dimensional NumPy array + and ``mean`` is either provided as an argument or computed as + ``a.mean()``, NumPy computes the standard deviation of an array as:: + + N = len(a) + d2 = abs(a - mean)**2 # abs is for complex `a` + var = d2.sum() / (N - ddof) # note use of `ddof` + std = var**0.5 + + Different values of the argument `ddof` are useful in different + contexts. NumPy's default ``ddof=0`` corresponds with the expression: + + .. math:: + + \sqrt{\frac{\sum_i{|a_i - \bar{a}|^2 }}{N}} + + which is sometimes called the "population standard deviation" in the field + of statistics because it applies the definition of standard deviation to + `a` as if `a` were a complete population of possible observations. + + Many other libraries define the standard deviation of an array + differently, e.g.: + + .. math:: + + \sqrt{\frac{\sum_i{|a_i - \bar{a}|^2 }}{N - 1}} + + In statistics, the resulting quantity is sometimes called the "sample + standard deviation" because if `a` is a random sample from a larger + population, this calculation provides the square root of an unbiased + estimate of the variance of the population. The use of :math:`N-1` in the + denominator is often called "Bessel's correction" because it corrects for + bias (toward lower values) in the variance estimate introduced when the + sample mean of `a` is used in place of the true mean of the population. + The resulting estimate of the standard deviation is still biased, but less + than it would have been without the correction. For this quantity, use + ``ddof=1``. + + Note that, for complex numbers, `std` takes the absolute + value before squaring, so that the result is always real and nonnegative. + + For floating-point input, the standard deviation is computed using the same + precision the input has. Depending on the input data, this can cause + the results to be inaccurate, especially for float32 (see example below). + Specifying a higher-accuracy accumulator using the `dtype` keyword can + alleviate this issue. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> np.std(a) + 1.1180339887498949 # may vary + >>> np.std(a, axis=0) + array([1., 1.]) + >>> np.std(a, axis=1) + array([0.5, 0.5]) + + In single precision, std() can be inaccurate: + + >>> a = np.zeros((2, 512*512), dtype=np.float32) + >>> a[0, :] = 1.0 + >>> a[1, :] = 0.1 + >>> np.std(a) + np.float32(0.45000005) + + Computing the standard deviation in float64 is more accurate: + + >>> np.std(a, dtype=np.float64) + 0.44999999925494177 # may vary + + Specifying a where argument: + + >>> a = np.array([[14, 8, 11, 10], [7, 9, 10, 11], [10, 15, 5, 10]]) + >>> np.std(a) + 2.614064523559687 # may vary + >>> np.std(a, where=[[True], [True], [False]]) + 2.0 + + Using the mean keyword to save computation time: + + >>> import numpy as np + >>> from timeit import timeit + >>> a = np.array([[14, 8, 11, 10], [7, 9, 10, 11], [10, 15, 5, 10]]) + >>> mean = np.mean(a, axis=1, keepdims=True) + >>> + >>> g = globals() + >>> n = 10000 + >>> t1 = timeit("std = np.std(a, axis=1, mean=mean)", globals=g, number=n) + >>> t2 = timeit("std = np.std(a, axis=1)", globals=g, number=n) + >>> print(f'Percentage execution time saved {100*(t2-t1)/t2:.0f}%') + #doctest: +SKIP + Percentage execution time saved 30% + + """ + kwargs = {} + if keepdims is not np._NoValue: + kwargs['keepdims'] = keepdims + if where is not np._NoValue: + kwargs['where'] = where + if mean is not np._NoValue: + kwargs['mean'] = mean + + if correction != np._NoValue: + if ddof != 0: + raise ValueError( + "ddof and correction can't be provided simultaneously." + ) + else: + ddof = correction + + if type(a) is not mu.ndarray: + try: + std = a.std + except AttributeError: + pass + else: + return std(axis=axis, dtype=dtype, out=out, ddof=ddof, **kwargs) + + return _methods._std(a, axis=axis, dtype=dtype, out=out, ddof=ddof, + **kwargs) + + +def _var_dispatcher(a, axis=None, dtype=None, out=None, ddof=None, + keepdims=None, *, where=None, mean=None, correction=None): + return (a, where, out, mean) + + +@array_function_dispatch(_var_dispatcher) +def var(a, axis=None, dtype=None, out=None, ddof=0, keepdims=np._NoValue, *, + where=np._NoValue, mean=np._NoValue, correction=np._NoValue): + r""" + Compute the variance along the specified axis. + + Returns the variance of the array elements, a measure of the spread of a + distribution. The variance is computed for the flattened array by + default, otherwise over the specified axis. + + Parameters + ---------- + a : array_like + Array containing numbers whose variance is desired. If `a` is not an + array, a conversion is attempted. + axis : None or int or tuple of ints, optional + Axis or axes along which the variance is computed. The default is to + compute the variance of the flattened array. + If this is a tuple of ints, a variance is performed over multiple axes, + instead of a single axis or all the axes as before. + dtype : data-type, optional + Type to use in computing the variance. For arrays of integer type + the default is `float64`; for arrays of float types it is the same as + the array type. + out : ndarray, optional + Alternate output array in which to place the result. It must have + the same shape as the expected output, but the type is cast if + necessary. + ddof : {int, float}, optional + "Delta Degrees of Freedom": the divisor used in the calculation is + ``N - ddof``, where ``N`` represents the number of elements. By + default `ddof` is zero. See notes for details about use of `ddof`. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + If the default value is passed, then `keepdims` will not be + passed through to the `var` method of sub-classes of + `ndarray`, however any non-default value will be. If the + sub-class' method does not implement `keepdims` any + exceptions will be raised. + where : array_like of bool, optional + Elements to include in the variance. See `~numpy.ufunc.reduce` for + details. + + .. versionadded:: 1.20.0 + + mean : array like, optional + Provide the mean to prevent its recalculation. The mean should have + a shape as if it was calculated with ``keepdims=True``. + The axis for the calculation of the mean should be the same as used in + the call to this var function. + + .. versionadded:: 2.0.0 + + correction : {int, float}, optional + Array API compatible name for the ``ddof`` parameter. Only one of them + can be provided at the same time. + + .. versionadded:: 2.0.0 + + Returns + ------- + variance : ndarray, see dtype parameter above + If ``out=None``, returns a new array containing the variance; + otherwise, a reference to the output array is returned. + + See Also + -------- + std, mean, nanmean, nanstd, nanvar + :ref:`ufuncs-output-type` + + Notes + ----- + There are several common variants of the array variance calculation. + Assuming the input `a` is a one-dimensional NumPy array and ``mean`` is + either provided as an argument or computed as ``a.mean()``, NumPy + computes the variance of an array as:: + + N = len(a) + d2 = abs(a - mean)**2 # abs is for complex `a` + var = d2.sum() / (N - ddof) # note use of `ddof` + + Different values of the argument `ddof` are useful in different + contexts. NumPy's default ``ddof=0`` corresponds with the expression: + + .. math:: + + \frac{\sum_i{|a_i - \bar{a}|^2 }}{N} + + which is sometimes called the "population variance" in the field of + statistics because it applies the definition of variance to `a` as if `a` + were a complete population of possible observations. + + Many other libraries define the variance of an array differently, e.g.: + + .. math:: + + \frac{\sum_i{|a_i - \bar{a}|^2}}{N - 1} + + In statistics, the resulting quantity is sometimes called the "sample + variance" because if `a` is a random sample from a larger population, + this calculation provides an unbiased estimate of the variance of the + population. The use of :math:`N-1` in the denominator is often called + "Bessel's correction" because it corrects for bias (toward lower values) + in the variance estimate introduced when the sample mean of `a` is used + in place of the true mean of the population. For this quantity, use + ``ddof=1``. + + Note that for complex numbers, the absolute value is taken before + squaring, so that the result is always real and nonnegative. + + For floating-point input, the variance is computed using the same + precision the input has. Depending on the input data, this can cause + the results to be inaccurate, especially for `float32` (see example + below). Specifying a higher-accuracy accumulator using the ``dtype`` + keyword can alleviate this issue. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> np.var(a) + 1.25 + >>> np.var(a, axis=0) + array([1., 1.]) + >>> np.var(a, axis=1) + array([0.25, 0.25]) + + In single precision, var() can be inaccurate: + + >>> a = np.zeros((2, 512*512), dtype=np.float32) + >>> a[0, :] = 1.0 + >>> a[1, :] = 0.1 + >>> np.var(a) + np.float32(0.20250003) + + Computing the variance in float64 is more accurate: + + >>> np.var(a, dtype=np.float64) + 0.20249999932944759 # may vary + >>> ((1-0.55)**2 + (0.1-0.55)**2)/2 + 0.2025 + + Specifying a where argument: + + >>> a = np.array([[14, 8, 11, 10], [7, 9, 10, 11], [10, 15, 5, 10]]) + >>> np.var(a) + 6.833333333333333 # may vary + >>> np.var(a, where=[[True], [True], [False]]) + 4.0 + + Using the mean keyword to save computation time: + + >>> import numpy as np + >>> from timeit import timeit + >>> + >>> a = np.array([[14, 8, 11, 10], [7, 9, 10, 11], [10, 15, 5, 10]]) + >>> mean = np.mean(a, axis=1, keepdims=True) + >>> + >>> g = globals() + >>> n = 10000 + >>> t1 = timeit("var = np.var(a, axis=1, mean=mean)", globals=g, number=n) + >>> t2 = timeit("var = np.var(a, axis=1)", globals=g, number=n) + >>> print(f'Percentage execution time saved {100*(t2-t1)/t2:.0f}%') + #doctest: +SKIP + Percentage execution time saved 32% + + """ + kwargs = {} + if keepdims is not np._NoValue: + kwargs['keepdims'] = keepdims + if where is not np._NoValue: + kwargs['where'] = where + if mean is not np._NoValue: + kwargs['mean'] = mean + + if correction != np._NoValue: + if ddof != 0: + raise ValueError( + "ddof and correction can't be provided simultaneously." + ) + else: + ddof = correction + + if type(a) is not mu.ndarray: + try: + var = a.var + + except AttributeError: + pass + else: + return var(axis=axis, dtype=dtype, out=out, ddof=ddof, **kwargs) + + return _methods._var(a, axis=axis, dtype=dtype, out=out, ddof=ddof, + **kwargs) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/fromnumeric.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/fromnumeric.pyi new file mode 100644 index 0000000000000000000000000000000000000000..48648593d72f0d14d16f5ce8a7bd18b2a3707bec --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/fromnumeric.pyi @@ -0,0 +1,1733 @@ +# ruff: noqa: ANN401 +from collections.abc import Sequence +from typing import ( + Any, + Literal, + Protocol, + SupportsIndex, + TypeAlias, + TypeVar, + overload, + type_check_only, +) + +from _typeshed import Incomplete +from typing_extensions import Never, deprecated + +import numpy as np +from numpy import ( + number, + uint64, + int_, + int64, + intp, + float16, + floating, + complexfloating, + timedelta64, + object_, + generic, + _AnyShapeType, + _OrderKACF, + _OrderACF, + _ModeKind, + _PartitionKind, + _SortKind, + _SortSide, + _CastingKind, +) +from numpy._globals import _NoValueType +from numpy._typing import ( + DTypeLike, + _DTypeLike, + ArrayLike, + _ArrayLike, + NDArray, + _NestedSequence, + _ShapeLike, + _ArrayLikeBool_co, + _ArrayLikeUInt_co, + _ArrayLikeInt, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeObject_co, + _IntLike_co, + _BoolLike_co, + _ComplexLike_co, + _NumberLike_co, + _ScalarLike_co, +) + +__all__ = [ + "all", + "amax", + "amin", + "any", + "argmax", + "argmin", + "argpartition", + "argsort", + "around", + "choose", + "clip", + "compress", + "cumprod", + "cumsum", + "cumulative_prod", + "cumulative_sum", + "diagonal", + "mean", + "max", + "min", + "matrix_transpose", + "ndim", + "nonzero", + "partition", + "prod", + "ptp", + "put", + "ravel", + "repeat", + "reshape", + "resize", + "round", + "searchsorted", + "shape", + "size", + "sort", + "squeeze", + "std", + "sum", + "swapaxes", + "take", + "trace", + "transpose", + "var", +] + +_SCT = TypeVar("_SCT", bound=generic) +_SCT_uifcO = TypeVar("_SCT_uifcO", bound=number[Any] | object_) +_ArrayT = TypeVar("_ArrayT", bound=np.ndarray[Any, Any]) +_ShapeType = TypeVar("_ShapeType", bound=tuple[int, ...]) +_ShapeType_co = TypeVar("_ShapeType_co", bound=tuple[int, ...], covariant=True) + +@type_check_only +class _SupportsShape(Protocol[_ShapeType_co]): + # NOTE: it matters that `self` is positional only + @property + def shape(self, /) -> _ShapeType_co: ... + +# a "sequence" that isn't a string, bytes, bytearray, or memoryview +_T = TypeVar("_T") +_PyArray: TypeAlias = list[_T] | tuple[_T, ...] +# `int` also covers `bool` +_PyScalar: TypeAlias = float | complex | bytes | str + +@overload +def take( + a: _ArrayLike[_SCT], + indices: _IntLike_co, + axis: None = ..., + out: None = ..., + mode: _ModeKind = ..., +) -> _SCT: ... +@overload +def take( + a: ArrayLike, + indices: _IntLike_co, + axis: SupportsIndex | None = ..., + out: None = ..., + mode: _ModeKind = ..., +) -> Any: ... +@overload +def take( + a: _ArrayLike[_SCT], + indices: _ArrayLikeInt_co, + axis: SupportsIndex | None = ..., + out: None = ..., + mode: _ModeKind = ..., +) -> NDArray[_SCT]: ... +@overload +def take( + a: ArrayLike, + indices: _ArrayLikeInt_co, + axis: SupportsIndex | None = ..., + out: None = ..., + mode: _ModeKind = ..., +) -> NDArray[Any]: ... +@overload +def take( + a: ArrayLike, + indices: _ArrayLikeInt_co, + axis: SupportsIndex | None, + out: _ArrayT, + mode: _ModeKind = ..., +) -> _ArrayT: ... +@overload +def take( + a: ArrayLike, + indices: _ArrayLikeInt_co, + axis: SupportsIndex | None = ..., + *, + out: _ArrayT, + mode: _ModeKind = ..., +) -> _ArrayT: ... + +@overload +def reshape( # shape: index + a: _ArrayLike[_SCT], + /, + shape: SupportsIndex, + order: _OrderACF = "C", + *, + copy: bool | None = None, +) -> np.ndarray[tuple[int], np.dtype[_SCT]]: ... +@overload +def reshape( # shape: (int, ...) @ _AnyShapeType + a: _ArrayLike[_SCT], + /, + shape: _AnyShapeType, + order: _OrderACF = "C", + *, + copy: bool | None = None, +) -> np.ndarray[_AnyShapeType, np.dtype[_SCT]]: ... +@overload # shape: Sequence[index] +def reshape( + a: _ArrayLike[_SCT], + /, + shape: Sequence[SupportsIndex], + order: _OrderACF = "C", + *, + copy: bool | None = None, +) -> NDArray[_SCT]: ... +@overload # shape: index +def reshape( + a: ArrayLike, + /, + shape: SupportsIndex, + order: _OrderACF = "C", + *, + copy: bool | None = None, +) -> np.ndarray[tuple[int], np.dtype[Any]]: ... +@overload +def reshape( # shape: (int, ...) @ _AnyShapeType + a: ArrayLike, + /, + shape: _AnyShapeType, + order: _OrderACF = "C", + *, + copy: bool | None = None, +) -> np.ndarray[_AnyShapeType, np.dtype[Any]]: ... +@overload # shape: Sequence[index] +def reshape( + a: ArrayLike, + /, + shape: Sequence[SupportsIndex], + order: _OrderACF = "C", + *, + copy: bool | None = None, +) -> NDArray[Any]: ... +@overload +@deprecated( + "`newshape` keyword argument is deprecated, " + "use `shape=...` or pass shape positionally instead. " + "(deprecated in NumPy 2.1)", +) +def reshape( + a: ArrayLike, + /, + shape: None = None, + order: _OrderACF = "C", + *, + newshape: _ShapeLike, + copy: bool | None = None, +) -> NDArray[Any]: ... + +@overload +def choose( + a: _IntLike_co, + choices: ArrayLike, + out: None = ..., + mode: _ModeKind = ..., +) -> Any: ... +@overload +def choose( + a: _ArrayLikeInt_co, + choices: _ArrayLike[_SCT], + out: None = ..., + mode: _ModeKind = ..., +) -> NDArray[_SCT]: ... +@overload +def choose( + a: _ArrayLikeInt_co, + choices: ArrayLike, + out: None = ..., + mode: _ModeKind = ..., +) -> NDArray[Any]: ... +@overload +def choose( + a: _ArrayLikeInt_co, + choices: ArrayLike, + out: _ArrayT, + mode: _ModeKind = ..., +) -> _ArrayT: ... + +@overload +def repeat( + a: _ArrayLike[_SCT], + repeats: _ArrayLikeInt_co, + axis: SupportsIndex | None = ..., +) -> NDArray[_SCT]: ... +@overload +def repeat( + a: ArrayLike, + repeats: _ArrayLikeInt_co, + axis: SupportsIndex | None = ..., +) -> NDArray[Any]: ... + +def put( + a: NDArray[Any], + ind: _ArrayLikeInt_co, + v: ArrayLike, + mode: _ModeKind = ..., +) -> None: ... + +@overload +def swapaxes( + a: _ArrayLike[_SCT], + axis1: SupportsIndex, + axis2: SupportsIndex, +) -> NDArray[_SCT]: ... +@overload +def swapaxes( + a: ArrayLike, + axis1: SupportsIndex, + axis2: SupportsIndex, +) -> NDArray[Any]: ... + +@overload +def transpose( + a: _ArrayLike[_SCT], + axes: _ShapeLike | None = ... +) -> NDArray[_SCT]: ... +@overload +def transpose( + a: ArrayLike, + axes: _ShapeLike | None = ... +) -> NDArray[Any]: ... + +@overload +def matrix_transpose(x: _ArrayLike[_SCT], /) -> NDArray[_SCT]: ... +@overload +def matrix_transpose(x: ArrayLike, /) -> NDArray[Any]: ... + +# +@overload +def partition( + a: _ArrayLike[_SCT], + kth: _ArrayLikeInt, + axis: SupportsIndex | None = -1, + kind: _PartitionKind = "introselect", + order: None = None, +) -> NDArray[_SCT]: ... +@overload +def partition( + a: _ArrayLike[np.void], + kth: _ArrayLikeInt, + axis: SupportsIndex | None = -1, + kind: _PartitionKind = "introselect", + order: str | Sequence[str] | None = None, +) -> NDArray[np.void]: ... +@overload +def partition( + a: ArrayLike, + kth: _ArrayLikeInt, + axis: SupportsIndex | None = -1, + kind: _PartitionKind = "introselect", + order: str | Sequence[str] | None = None, +) -> NDArray[Any]: ... + +# +def argpartition( + a: ArrayLike, + kth: _ArrayLikeInt, + axis: SupportsIndex | None = -1, + kind: _PartitionKind = "introselect", + order: str | Sequence[str] | None = None, +) -> NDArray[intp]: ... + +# +@overload +def sort( + a: _ArrayLike[_SCT], + axis: SupportsIndex | None = ..., + kind: _SortKind | None = ..., + order: str | Sequence[str] | None = ..., + *, + stable: bool | None = ..., +) -> NDArray[_SCT]: ... +@overload +def sort( + a: ArrayLike, + axis: SupportsIndex | None = ..., + kind: _SortKind | None = ..., + order: str | Sequence[str] | None = ..., + *, + stable: bool | None = ..., +) -> NDArray[Any]: ... + +def argsort( + a: ArrayLike, + axis: SupportsIndex | None = ..., + kind: _SortKind | None = ..., + order: str | Sequence[str] | None = ..., + *, + stable: bool | None = ..., +) -> NDArray[intp]: ... + +@overload +def argmax( + a: ArrayLike, + axis: None = ..., + out: None = ..., + *, + keepdims: Literal[False] = ..., +) -> intp: ... +@overload +def argmax( + a: ArrayLike, + axis: SupportsIndex | None = ..., + out: None = ..., + *, + keepdims: bool = ..., +) -> Any: ... +@overload +def argmax( + a: ArrayLike, + axis: SupportsIndex | None, + out: _ArrayT, + *, + keepdims: bool = ..., +) -> _ArrayT: ... +@overload +def argmax( + a: ArrayLike, + axis: SupportsIndex | None = ..., + *, + out: _ArrayT, + keepdims: bool = ..., +) -> _ArrayT: ... + +@overload +def argmin( + a: ArrayLike, + axis: None = ..., + out: None = ..., + *, + keepdims: Literal[False] = ..., +) -> intp: ... +@overload +def argmin( + a: ArrayLike, + axis: SupportsIndex | None = ..., + out: None = ..., + *, + keepdims: bool = ..., +) -> Any: ... +@overload +def argmin( + a: ArrayLike, + axis: SupportsIndex | None, + out: _ArrayT, + *, + keepdims: bool = ..., +) -> _ArrayT: ... +@overload +def argmin( + a: ArrayLike, + axis: SupportsIndex | None = ..., + *, + out: _ArrayT, + keepdims: bool = ..., +) -> _ArrayT: ... + +@overload +def searchsorted( + a: ArrayLike, + v: _ScalarLike_co, + side: _SortSide = ..., + sorter: _ArrayLikeInt_co | None = ..., # 1D int array +) -> intp: ... +@overload +def searchsorted( + a: ArrayLike, + v: ArrayLike, + side: _SortSide = ..., + sorter: _ArrayLikeInt_co | None = ..., # 1D int array +) -> NDArray[intp]: ... + +# +@overload +def resize(a: _ArrayLike[_SCT], new_shape: SupportsIndex | tuple[SupportsIndex]) -> np.ndarray[tuple[int], np.dtype[_SCT]]: ... +@overload +def resize(a: _ArrayLike[_SCT], new_shape: _AnyShapeType) -> np.ndarray[_AnyShapeType, np.dtype[_SCT]]: ... +@overload +def resize(a: _ArrayLike[_SCT], new_shape: _ShapeLike) -> NDArray[_SCT]: ... +@overload +def resize(a: ArrayLike, new_shape: SupportsIndex | tuple[SupportsIndex]) -> np.ndarray[tuple[int], np.dtype[Any]]: ... +@overload +def resize(a: ArrayLike, new_shape: _AnyShapeType) -> np.ndarray[_AnyShapeType, np.dtype[Any]]: ... +@overload +def resize(a: ArrayLike, new_shape: _ShapeLike) -> NDArray[Any]: ... + +@overload +def squeeze( + a: _SCT, + axis: _ShapeLike | None = ..., +) -> _SCT: ... +@overload +def squeeze( + a: _ArrayLike[_SCT], + axis: _ShapeLike | None = ..., +) -> NDArray[_SCT]: ... +@overload +def squeeze( + a: ArrayLike, + axis: _ShapeLike | None = ..., +) -> NDArray[Any]: ... + +@overload +def diagonal( + a: _ArrayLike[_SCT], + offset: SupportsIndex = ..., + axis1: SupportsIndex = ..., + axis2: SupportsIndex = ..., # >= 2D array +) -> NDArray[_SCT]: ... +@overload +def diagonal( + a: ArrayLike, + offset: SupportsIndex = ..., + axis1: SupportsIndex = ..., + axis2: SupportsIndex = ..., # >= 2D array +) -> NDArray[Any]: ... + +@overload +def trace( + a: ArrayLike, # >= 2D array + offset: SupportsIndex = ..., + axis1: SupportsIndex = ..., + axis2: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: None = ..., +) -> Any: ... +@overload +def trace( + a: ArrayLike, # >= 2D array + offset: SupportsIndex, + axis1: SupportsIndex, + axis2: SupportsIndex, + dtype: DTypeLike, + out: _ArrayT, +) -> _ArrayT: ... +@overload +def trace( + a: ArrayLike, # >= 2D array + offset: SupportsIndex = ..., + axis1: SupportsIndex = ..., + axis2: SupportsIndex = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayT, +) -> _ArrayT: ... + +_Array1D: TypeAlias = np.ndarray[tuple[int], np.dtype[_SCT]] + +@overload +def ravel(a: _ArrayLike[_SCT], order: _OrderKACF = "C") -> _Array1D[_SCT]: ... +@overload +def ravel(a: bytes | _NestedSequence[bytes], order: _OrderKACF = "C") -> _Array1D[np.bytes_]: ... +@overload +def ravel(a: str | _NestedSequence[str], order: _OrderKACF = "C") -> _Array1D[np.str_]: ... +@overload +def ravel(a: bool | _NestedSequence[bool], order: _OrderKACF = "C") -> _Array1D[np.bool]: ... +@overload +def ravel(a: int | _NestedSequence[int], order: _OrderKACF = "C") -> _Array1D[np.int_ | np.bool]: ... +@overload +def ravel(a: float | _NestedSequence[float], order: _OrderKACF = "C") -> _Array1D[np.float64 | np.int_ | np.bool]: ... +@overload +def ravel( + a: complex | _NestedSequence[complex], + order: _OrderKACF = "C", +) -> _Array1D[np.complex128 | np.float64 | np.int_ | np.bool]: ... +@overload +def ravel(a: ArrayLike, order: _OrderKACF = "C") -> np.ndarray[tuple[int], np.dtype[Any]]: ... + +def nonzero(a: _ArrayLike[Any]) -> tuple[NDArray[intp], ...]: ... + +# this prevents `Any` from being returned with Pyright +@overload +def shape(a: _SupportsShape[Never]) -> tuple[int, ...]: ... +@overload +def shape(a: _SupportsShape[_ShapeType]) -> _ShapeType: ... +@overload +def shape(a: _PyScalar) -> tuple[()]: ... +# `collections.abc.Sequence` can't be used hesre, since `bytes` and `str` are +# subtypes of it, which would make the return types incompatible. +@overload +def shape(a: _PyArray[_PyScalar]) -> tuple[int]: ... +@overload +def shape(a: _PyArray[_PyArray[_PyScalar]]) -> tuple[int, int]: ... +# this overload will be skipped by typecheckers that don't support PEP 688 +@overload +def shape(a: memoryview | bytearray) -> tuple[int]: ... +@overload +def shape(a: ArrayLike) -> tuple[int, ...]: ... + +@overload +def compress( + condition: _ArrayLikeBool_co, # 1D bool array + a: _ArrayLike[_SCT], + axis: SupportsIndex | None = ..., + out: None = ..., +) -> NDArray[_SCT]: ... +@overload +def compress( + condition: _ArrayLikeBool_co, # 1D bool array + a: ArrayLike, + axis: SupportsIndex | None = ..., + out: None = ..., +) -> NDArray[Any]: ... +@overload +def compress( + condition: _ArrayLikeBool_co, # 1D bool array + a: ArrayLike, + axis: SupportsIndex | None, + out: _ArrayT, +) -> _ArrayT: ... +@overload +def compress( + condition: _ArrayLikeBool_co, # 1D bool array + a: ArrayLike, + axis: SupportsIndex | None = ..., + *, + out: _ArrayT, +) -> _ArrayT: ... + +@overload +def clip( + a: _SCT, + a_min: ArrayLike | None, + a_max: ArrayLike | None, + out: None = ..., + *, + min: ArrayLike | None = ..., + max: ArrayLike | None = ..., + dtype: None = ..., + where: _ArrayLikeBool_co | None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + signature: str | tuple[str | None, ...] = ..., + casting: _CastingKind = ..., +) -> _SCT: ... +@overload +def clip( + a: _ScalarLike_co, + a_min: ArrayLike | None, + a_max: ArrayLike | None, + out: None = ..., + *, + min: ArrayLike | None = ..., + max: ArrayLike | None = ..., + dtype: None = ..., + where: _ArrayLikeBool_co | None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + signature: str | tuple[str | None, ...] = ..., + casting: _CastingKind = ..., +) -> Any: ... +@overload +def clip( + a: _ArrayLike[_SCT], + a_min: ArrayLike | None, + a_max: ArrayLike | None, + out: None = ..., + *, + min: ArrayLike | None = ..., + max: ArrayLike | None = ..., + dtype: None = ..., + where: _ArrayLikeBool_co | None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + signature: str | tuple[str | None, ...] = ..., + casting: _CastingKind = ..., +) -> NDArray[_SCT]: ... +@overload +def clip( + a: ArrayLike, + a_min: ArrayLike | None, + a_max: ArrayLike | None, + out: None = ..., + *, + min: ArrayLike | None = ..., + max: ArrayLike | None = ..., + dtype: None = ..., + where: _ArrayLikeBool_co | None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + signature: str | tuple[str | None, ...] = ..., + casting: _CastingKind = ..., +) -> NDArray[Any]: ... +@overload +def clip( + a: ArrayLike, + a_min: ArrayLike | None, + a_max: ArrayLike | None, + out: _ArrayT, + *, + min: ArrayLike | None = ..., + max: ArrayLike | None = ..., + dtype: DTypeLike = ..., + where: _ArrayLikeBool_co | None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + signature: str | tuple[str | None, ...] = ..., + casting: _CastingKind = ..., +) -> _ArrayT: ... +@overload +def clip( + a: ArrayLike, + a_min: ArrayLike | None, + a_max: ArrayLike | None, + out: ArrayLike = ..., + *, + min: ArrayLike | None = ..., + max: ArrayLike | None = ..., + dtype: DTypeLike, + where: _ArrayLikeBool_co | None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + signature: str | tuple[str | None, ...] = ..., + casting: _CastingKind = ..., +) -> Any: ... + +@overload +def sum( + a: _ArrayLike[_SCT], + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT: ... +@overload +def sum( + a: _ArrayLike[_SCT], + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT | NDArray[_SCT]: ... +@overload +def sum( + a: ArrayLike, + axis: None, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT: ... +@overload +def sum( + a: ArrayLike, + axis: None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT: ... +@overload +def sum( + a: ArrayLike, + axis: _ShapeLike | None, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT | NDArray[_SCT]: ... +@overload +def sum( + a: ArrayLike, + axis: _ShapeLike | None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT | NDArray[_SCT]: ... +@overload +def sum( + a: ArrayLike, + axis: _ShapeLike | None = ..., + dtype: DTypeLike = ..., + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> Any: ... +@overload +def sum( + a: ArrayLike, + axis: _ShapeLike | None, + dtype: DTypeLike, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... +@overload +def sum( + a: ArrayLike, + axis: _ShapeLike | None = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... + +@overload +def all( + a: ArrayLike, + axis: None = None, + out: None = None, + keepdims: Literal[False, 0] | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> np.bool: ... +@overload +def all( + a: ArrayLike, + axis: int | tuple[int, ...] | None = None, + out: None = None, + keepdims: _BoolLike_co | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> Incomplete: ... +@overload +def all( + a: ArrayLike, + axis: int | tuple[int, ...] | None, + out: _ArrayT, + keepdims: _BoolLike_co | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _ArrayT: ... +@overload +def all( + a: ArrayLike, + axis: int | tuple[int, ...] | None = None, + *, + out: _ArrayT, + keepdims: _BoolLike_co | _NoValueType = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _ArrayT: ... + +@overload +def any( + a: ArrayLike, + axis: None = None, + out: None = None, + keepdims: Literal[False, 0] | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> np.bool: ... +@overload +def any( + a: ArrayLike, + axis: int | tuple[int, ...] | None = None, + out: None = None, + keepdims: _BoolLike_co | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> Incomplete: ... +@overload +def any( + a: ArrayLike, + axis: int | tuple[int, ...] | None, + out: _ArrayT, + keepdims: _BoolLike_co | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _ArrayT: ... +@overload +def any( + a: ArrayLike, + axis: int | tuple[int, ...] | None = None, + *, + out: _ArrayT, + keepdims: _BoolLike_co | _NoValueType = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _ArrayT: ... + +@overload +def cumsum( + a: _ArrayLike[_SCT], + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[_SCT]: ... +@overload +def cumsum( + a: ArrayLike, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[Any]: ... +@overload +def cumsum( + a: ArrayLike, + axis: SupportsIndex | None, + dtype: _DTypeLike[_SCT], + out: None = ..., +) -> NDArray[_SCT]: ... +@overload +def cumsum( + a: ArrayLike, + axis: SupportsIndex | None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., +) -> NDArray[_SCT]: ... +@overload +def cumsum( + a: ArrayLike, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + out: None = ..., +) -> NDArray[Any]: ... +@overload +def cumsum( + a: ArrayLike, + axis: SupportsIndex | None, + dtype: DTypeLike, + out: _ArrayT, +) -> _ArrayT: ... +@overload +def cumsum( + a: ArrayLike, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayT, +) -> _ArrayT: ... + +@overload +def cumulative_sum( + x: _ArrayLike[_SCT], + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[_SCT]: ... +@overload +def cumulative_sum( + x: ArrayLike, + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[Any]: ... +@overload +def cumulative_sum( + x: ArrayLike, + /, + *, + axis: SupportsIndex | None = ..., + dtype: _DTypeLike[_SCT], + out: None = ..., + include_initial: bool = ..., +) -> NDArray[_SCT]: ... +@overload +def cumulative_sum( + x: ArrayLike, + /, + *, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[Any]: ... +@overload +def cumulative_sum( + x: ArrayLike, + /, + *, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + out: _ArrayT, + include_initial: bool = ..., +) -> _ArrayT: ... + +@overload +def ptp( + a: _ArrayLike[_SCT], + axis: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., +) -> _SCT: ... +@overload +def ptp( + a: ArrayLike, + axis: _ShapeLike | None = ..., + out: None = ..., + keepdims: bool = ..., +) -> Any: ... +@overload +def ptp( + a: ArrayLike, + axis: _ShapeLike | None, + out: _ArrayT, + keepdims: bool = ..., +) -> _ArrayT: ... +@overload +def ptp( + a: ArrayLike, + axis: _ShapeLike | None = ..., + *, + out: _ArrayT, + keepdims: bool = ..., +) -> _ArrayT: ... + +@overload +def amax( + a: _ArrayLike[_SCT], + axis: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT: ... +@overload +def amax( + a: ArrayLike, + axis: _ShapeLike | None = ..., + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> Any: ... +@overload +def amax( + a: ArrayLike, + axis: _ShapeLike | None, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... +@overload +def amax( + a: ArrayLike, + axis: _ShapeLike | None = ..., + *, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... + +@overload +def amin( + a: _ArrayLike[_SCT], + axis: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT: ... +@overload +def amin( + a: ArrayLike, + axis: _ShapeLike | None = ..., + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> Any: ... +@overload +def amin( + a: ArrayLike, + axis: _ShapeLike | None, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... +@overload +def amin( + a: ArrayLike, + axis: _ShapeLike | None = ..., + *, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... + +# TODO: `np.prod()``: For object arrays `initial` does not necessarily +# have to be a numerical scalar. +# The only requirement is that it is compatible +# with the `.__mul__()` method(s) of the passed array's elements. + +# Note that the same situation holds for all wrappers around +# `np.ufunc.reduce`, e.g. `np.sum()` (`.__add__()`). +@overload +def prod( + a: _ArrayLikeBool_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> int_: ... +@overload +def prod( + a: _ArrayLikeUInt_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> uint64: ... +@overload +def prod( + a: _ArrayLikeInt_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> int64: ... +@overload +def prod( + a: _ArrayLikeFloat_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> floating[Any]: ... +@overload +def prod( + a: _ArrayLikeComplex_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> complexfloating[Any, Any]: ... +@overload +def prod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: None = ..., + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> Any: ... +@overload +def prod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT: ... +@overload +def prod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: Literal[False] = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _SCT: ... +@overload +def prod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike | None = ..., + out: None = ..., + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> Any: ... +@overload +def prod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None, + dtype: DTypeLike | None, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... +@overload +def prod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike | None = ..., + *, + out: _ArrayT, + keepdims: bool = ..., + initial: _NumberLike_co = ..., + where: _ArrayLikeBool_co = ..., +) -> _ArrayT: ... + +@overload +def cumprod( + a: _ArrayLikeBool_co, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[int_]: ... +@overload +def cumprod( + a: _ArrayLikeUInt_co, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[uint64]: ... +@overload +def cumprod( + a: _ArrayLikeInt_co, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[int64]: ... +@overload +def cumprod( + a: _ArrayLikeFloat_co, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[floating[Any]]: ... +@overload +def cumprod( + a: _ArrayLikeComplex_co, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def cumprod( + a: _ArrayLikeObject_co, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., +) -> NDArray[object_]: ... +@overload +def cumprod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: SupportsIndex | None, + dtype: _DTypeLike[_SCT], + out: None = ..., +) -> NDArray[_SCT]: ... +@overload +def cumprod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: SupportsIndex | None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., +) -> NDArray[_SCT]: ... +@overload +def cumprod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + out: None = ..., +) -> NDArray[Any]: ... +@overload +def cumprod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: SupportsIndex | None, + dtype: DTypeLike, + out: _ArrayT, +) -> _ArrayT: ... +@overload +def cumprod( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayT, +) -> _ArrayT: ... + +@overload +def cumulative_prod( + x: _ArrayLikeBool_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[int_]: ... +@overload +def cumulative_prod( + x: _ArrayLikeUInt_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[uint64]: ... +@overload +def cumulative_prod( + x: _ArrayLikeInt_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[int64]: ... +@overload +def cumulative_prod( + x: _ArrayLikeFloat_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[floating[Any]]: ... +@overload +def cumulative_prod( + x: _ArrayLikeComplex_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def cumulative_prod( + x: _ArrayLikeObject_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: None = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[object_]: ... +@overload +def cumulative_prod( + x: _ArrayLikeComplex_co | _ArrayLikeObject_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: _DTypeLike[_SCT], + out: None = ..., + include_initial: bool = ..., +) -> NDArray[_SCT]: ... +@overload +def cumulative_prod( + x: _ArrayLikeComplex_co | _ArrayLikeObject_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + out: None = ..., + include_initial: bool = ..., +) -> NDArray[Any]: ... +@overload +def cumulative_prod( + x: _ArrayLikeComplex_co | _ArrayLikeObject_co, + /, + *, + axis: SupportsIndex | None = ..., + dtype: DTypeLike = ..., + out: _ArrayT, + include_initial: bool = ..., +) -> _ArrayT: ... + +def ndim(a: ArrayLike) -> int: ... + +def size(a: ArrayLike, axis: int | None = ...) -> int: ... + +@overload +def around( + a: _BoolLike_co, + decimals: SupportsIndex = ..., + out: None = ..., +) -> float16: ... +@overload +def around( + a: _SCT_uifcO, + decimals: SupportsIndex = ..., + out: None = ..., +) -> _SCT_uifcO: ... +@overload +def around( + a: _ComplexLike_co | object_, + decimals: SupportsIndex = ..., + out: None = ..., +) -> Any: ... +@overload +def around( + a: _ArrayLikeBool_co, + decimals: SupportsIndex = ..., + out: None = ..., +) -> NDArray[float16]: ... +@overload +def around( + a: _ArrayLike[_SCT_uifcO], + decimals: SupportsIndex = ..., + out: None = ..., +) -> NDArray[_SCT_uifcO]: ... +@overload +def around( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + decimals: SupportsIndex = ..., + out: None = ..., +) -> NDArray[Any]: ... +@overload +def around( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + decimals: SupportsIndex, + out: _ArrayT, +) -> _ArrayT: ... +@overload +def around( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + decimals: SupportsIndex = ..., + *, + out: _ArrayT, +) -> _ArrayT: ... + +@overload +def mean( + a: _ArrayLikeFloat_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> floating[Any]: ... +@overload +def mean( + a: _ArrayLikeComplex_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> complexfloating[Any]: ... +@overload +def mean( + a: _ArrayLike[np.timedelta64], + axis: None = ..., + dtype: None = ..., + out: None = ..., + keepdims: Literal[False] | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> timedelta64: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None, + dtype: DTypeLike, + out: _ArrayT, + keepdims: bool | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _ArrayT: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike | None = ..., + *, + out: _ArrayT, + keepdims: bool | _NoValueType = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _ArrayT: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: Literal[False] | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _SCT: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: Literal[False] | _NoValueType = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _SCT: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None, + dtype: _DTypeLike[_SCT], + out: None, + keepdims: Literal[True, 1], + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> NDArray[_SCT]: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None, + dtype: _DTypeLike[_SCT], + out: None = ..., + *, + keepdims: bool | _NoValueType = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _SCT | NDArray[_SCT]: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., + keepdims: bool | _NoValueType = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> _SCT | NDArray[_SCT]: ... +@overload +def mean( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike | None = ..., + out: None = ..., + keepdims: bool | _NoValueType = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., +) -> Incomplete: ... + +@overload +def std( + a: _ArrayLikeComplex_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + ddof: float = ..., + keepdims: Literal[False] = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> floating[Any]: ... +@overload +def std( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: None = ..., + out: None = ..., + ddof: float = ..., + keepdims: bool = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> Any: ... +@overload +def std( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None, + dtype: _DTypeLike[_SCT], + out: None = ..., + ddof: float = ..., + keepdims: Literal[False] = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _SCT: ... +@overload +def std( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., + ddof: float = ..., + keepdims: Literal[False] = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _SCT: ... +@overload +def std( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike = ..., + out: None = ..., + ddof: float = ..., + keepdims: bool = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> Any: ... +@overload +def std( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None, + dtype: DTypeLike, + out: _ArrayT, + ddof: float = ..., + keepdims: bool = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _ArrayT: ... +@overload +def std( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayT, + ddof: float = ..., + keepdims: bool = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _ArrayT: ... + +@overload +def var( + a: _ArrayLikeComplex_co, + axis: None = ..., + dtype: None = ..., + out: None = ..., + ddof: float = ..., + keepdims: Literal[False] = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> floating[Any]: ... +@overload +def var( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: None = ..., + out: None = ..., + ddof: float = ..., + keepdims: bool = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> Any: ... +@overload +def var( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None, + dtype: _DTypeLike[_SCT], + out: None = ..., + ddof: float = ..., + keepdims: Literal[False] = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _SCT: ... +@overload +def var( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None = ..., + *, + dtype: _DTypeLike[_SCT], + out: None = ..., + ddof: float = ..., + keepdims: Literal[False] = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _SCT: ... +@overload +def var( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike = ..., + out: None = ..., + ddof: float = ..., + keepdims: bool = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> Any: ... +@overload +def var( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None, + dtype: DTypeLike, + out: _ArrayT, + ddof: float = ..., + keepdims: bool = ..., + *, + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _ArrayT: ... +@overload +def var( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: _ShapeLike | None = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayT, + ddof: float = ..., + keepdims: bool = ..., + where: _ArrayLikeBool_co | _NoValueType = ..., + mean: _ArrayLikeComplex_co | _ArrayLikeObject_co | _NoValueType = ..., + correction: float | _NoValueType = ..., +) -> _ArrayT: ... + +max = amax +min = amin +round = around diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/function_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/function_base.py new file mode 100644 index 0000000000000000000000000000000000000000..cba071768ab707b088000742403d5e3b820772dc --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/function_base.py @@ -0,0 +1,546 @@ +import functools +import warnings +import operator +import types + +import numpy as np +from . import numeric as _nx +from .numeric import result_type, nan, asanyarray, ndim +from numpy._core.multiarray import add_docstring +from numpy._core._multiarray_umath import _array_converter +from numpy._core import overrides + +__all__ = ['logspace', 'linspace', 'geomspace'] + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +def _linspace_dispatcher(start, stop, num=None, endpoint=None, retstep=None, + dtype=None, axis=None, *, device=None): + return (start, stop) + + +@array_function_dispatch(_linspace_dispatcher) +def linspace(start, stop, num=50, endpoint=True, retstep=False, dtype=None, + axis=0, *, device=None): + """ + Return evenly spaced numbers over a specified interval. + + Returns `num` evenly spaced samples, calculated over the + interval [`start`, `stop`]. + + The endpoint of the interval can optionally be excluded. + + .. versionchanged:: 1.20.0 + Values are rounded towards ``-inf`` instead of ``0`` when an + integer ``dtype`` is specified. The old behavior can + still be obtained with ``np.linspace(start, stop, num).astype(int)`` + + Parameters + ---------- + start : array_like + The starting value of the sequence. + stop : array_like + The end value of the sequence, unless `endpoint` is set to False. + In that case, the sequence consists of all but the last of ``num + 1`` + evenly spaced samples, so that `stop` is excluded. Note that the step + size changes when `endpoint` is False. + num : int, optional + Number of samples to generate. Default is 50. Must be non-negative. + endpoint : bool, optional + If True, `stop` is the last sample. Otherwise, it is not included. + Default is True. + retstep : bool, optional + If True, return (`samples`, `step`), where `step` is the spacing + between samples. + dtype : dtype, optional + The type of the output array. If `dtype` is not given, the data type + is inferred from `start` and `stop`. The inferred dtype will never be + an integer; `float` is chosen even if the arguments would produce an + array of integers. + axis : int, optional + The axis in the result to store the samples. Relevant only if start + or stop are array-like. By default (0), the samples will be along a + new axis inserted at the beginning. Use -1 to get an axis at the end. + device : str, optional + The device on which to place the created array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + + Returns + ------- + samples : ndarray + There are `num` equally spaced samples in the closed interval + ``[start, stop]`` or the half-open interval ``[start, stop)`` + (depending on whether `endpoint` is True or False). + step : float, optional + Only returned if `retstep` is True + + Size of spacing between samples. + + + See Also + -------- + arange : Similar to `linspace`, but uses a step size (instead of the + number of samples). + geomspace : Similar to `linspace`, but with numbers spaced evenly on a log + scale (a geometric progression). + logspace : Similar to `geomspace`, but with the end points specified as + logarithms. + :ref:`how-to-partition` + + Examples + -------- + >>> import numpy as np + >>> np.linspace(2.0, 3.0, num=5) + array([2. , 2.25, 2.5 , 2.75, 3. ]) + >>> np.linspace(2.0, 3.0, num=5, endpoint=False) + array([2. , 2.2, 2.4, 2.6, 2.8]) + >>> np.linspace(2.0, 3.0, num=5, retstep=True) + (array([2. , 2.25, 2.5 , 2.75, 3. ]), 0.25) + + Graphical illustration: + + >>> import matplotlib.pyplot as plt + >>> N = 8 + >>> y = np.zeros(N) + >>> x1 = np.linspace(0, 10, N, endpoint=True) + >>> x2 = np.linspace(0, 10, N, endpoint=False) + >>> plt.plot(x1, y, 'o') + [] + >>> plt.plot(x2, y + 0.5, 'o') + [] + >>> plt.ylim([-0.5, 1]) + (-0.5, 1) + >>> plt.show() + + """ + num = operator.index(num) + if num < 0: + raise ValueError( + "Number of samples, %s, must be non-negative." % num + ) + div = (num - 1) if endpoint else num + + conv = _array_converter(start, stop) + start, stop = conv.as_arrays() + dt = conv.result_type(ensure_inexact=True) + + if dtype is None: + dtype = dt + integer_dtype = False + else: + integer_dtype = _nx.issubdtype(dtype, _nx.integer) + + # Use `dtype=type(dt)` to enforce a floating point evaluation: + delta = np.subtract(stop, start, dtype=type(dt)) + y = _nx.arange( + 0, num, dtype=dt, device=device + ).reshape((-1,) + (1,) * ndim(delta)) + + # In-place multiplication y *= delta/div is faster, but prevents + # the multiplicant from overriding what class is produced, and thus + # prevents, e.g. use of Quantities, see gh-7142. Hence, we multiply + # in place only for standard scalar types. + if div > 0: + _mult_inplace = _nx.isscalar(delta) + step = delta / div + any_step_zero = ( + step == 0 if _mult_inplace else _nx.asanyarray(step == 0).any()) + if any_step_zero: + # Special handling for denormal numbers, gh-5437 + y /= div + if _mult_inplace: + y *= delta + else: + y = y * delta + else: + if _mult_inplace: + y *= step + else: + y = y * step + else: + # sequences with 0 items or 1 item with endpoint=True (i.e. div <= 0) + # have an undefined step + step = nan + # Multiply with delta to allow possible override of output class. + y = y * delta + + y += start + + if endpoint and num > 1: + y[-1, ...] = stop + + if axis != 0: + y = _nx.moveaxis(y, 0, axis) + + if integer_dtype: + _nx.floor(y, out=y) + + y = conv.wrap(y.astype(dtype, copy=False)) + if retstep: + return y, step + else: + return y + + +def _logspace_dispatcher(start, stop, num=None, endpoint=None, base=None, + dtype=None, axis=None): + return (start, stop, base) + + +@array_function_dispatch(_logspace_dispatcher) +def logspace(start, stop, num=50, endpoint=True, base=10.0, dtype=None, + axis=0): + """ + Return numbers spaced evenly on a log scale. + + In linear space, the sequence starts at ``base ** start`` + (`base` to the power of `start`) and ends with ``base ** stop`` + (see `endpoint` below). + + .. versionchanged:: 1.25.0 + Non-scalar 'base` is now supported + + Parameters + ---------- + start : array_like + ``base ** start`` is the starting value of the sequence. + stop : array_like + ``base ** stop`` is the final value of the sequence, unless `endpoint` + is False. In that case, ``num + 1`` values are spaced over the + interval in log-space, of which all but the last (a sequence of + length `num`) are returned. + num : integer, optional + Number of samples to generate. Default is 50. + endpoint : boolean, optional + If true, `stop` is the last sample. Otherwise, it is not included. + Default is True. + base : array_like, optional + The base of the log space. The step size between the elements in + ``ln(samples) / ln(base)`` (or ``log_base(samples)``) is uniform. + Default is 10.0. + dtype : dtype + The type of the output array. If `dtype` is not given, the data type + is inferred from `start` and `stop`. The inferred type will never be + an integer; `float` is chosen even if the arguments would produce an + array of integers. + axis : int, optional + The axis in the result to store the samples. Relevant only if start, + stop, or base are array-like. By default (0), the samples will be + along a new axis inserted at the beginning. Use -1 to get an axis at + the end. + + Returns + ------- + samples : ndarray + `num` samples, equally spaced on a log scale. + + See Also + -------- + arange : Similar to linspace, with the step size specified instead of the + number of samples. Note that, when used with a float endpoint, the + endpoint may or may not be included. + linspace : Similar to logspace, but with the samples uniformly distributed + in linear space, instead of log space. + geomspace : Similar to logspace, but with endpoints specified directly. + :ref:`how-to-partition` + + Notes + ----- + If base is a scalar, logspace is equivalent to the code + + >>> y = np.linspace(start, stop, num=num, endpoint=endpoint) + ... # doctest: +SKIP + >>> power(base, y).astype(dtype) + ... # doctest: +SKIP + + Examples + -------- + >>> import numpy as np + >>> np.logspace(2.0, 3.0, num=4) + array([ 100. , 215.443469 , 464.15888336, 1000. ]) + >>> np.logspace(2.0, 3.0, num=4, endpoint=False) + array([100. , 177.827941 , 316.22776602, 562.34132519]) + >>> np.logspace(2.0, 3.0, num=4, base=2.0) + array([4. , 5.0396842 , 6.34960421, 8. ]) + >>> np.logspace(2.0, 3.0, num=4, base=[2.0, 3.0], axis=-1) + array([[ 4. , 5.0396842 , 6.34960421, 8. ], + [ 9. , 12.98024613, 18.72075441, 27. ]]) + + Graphical illustration: + + >>> import matplotlib.pyplot as plt + >>> N = 10 + >>> x1 = np.logspace(0.1, 1, N, endpoint=True) + >>> x2 = np.logspace(0.1, 1, N, endpoint=False) + >>> y = np.zeros(N) + >>> plt.plot(x1, y, 'o') + [] + >>> plt.plot(x2, y + 0.5, 'o') + [] + >>> plt.ylim([-0.5, 1]) + (-0.5, 1) + >>> plt.show() + + """ + if not isinstance(base, (float, int)) and np.ndim(base): + # If base is non-scalar, broadcast it with the others, since it + # may influence how axis is interpreted. + ndmax = np.broadcast(start, stop, base).ndim + start, stop, base = ( + np.array(a, copy=None, subok=True, ndmin=ndmax) + for a in (start, stop, base) + ) + base = np.expand_dims(base, axis=axis) + y = linspace(start, stop, num=num, endpoint=endpoint, axis=axis) + if dtype is None: + return _nx.power(base, y) + return _nx.power(base, y).astype(dtype, copy=False) + + +def _geomspace_dispatcher(start, stop, num=None, endpoint=None, dtype=None, + axis=None): + return (start, stop) + + +@array_function_dispatch(_geomspace_dispatcher) +def geomspace(start, stop, num=50, endpoint=True, dtype=None, axis=0): + """ + Return numbers spaced evenly on a log scale (a geometric progression). + + This is similar to `logspace`, but with endpoints specified directly. + Each output sample is a constant multiple of the previous. + + Parameters + ---------- + start : array_like + The starting value of the sequence. + stop : array_like + The final value of the sequence, unless `endpoint` is False. + In that case, ``num + 1`` values are spaced over the + interval in log-space, of which all but the last (a sequence of + length `num`) are returned. + num : integer, optional + Number of samples to generate. Default is 50. + endpoint : boolean, optional + If true, `stop` is the last sample. Otherwise, it is not included. + Default is True. + dtype : dtype + The type of the output array. If `dtype` is not given, the data type + is inferred from `start` and `stop`. The inferred dtype will never be + an integer; `float` is chosen even if the arguments would produce an + array of integers. + axis : int, optional + The axis in the result to store the samples. Relevant only if start + or stop are array-like. By default (0), the samples will be along a + new axis inserted at the beginning. Use -1 to get an axis at the end. + + Returns + ------- + samples : ndarray + `num` samples, equally spaced on a log scale. + + See Also + -------- + logspace : Similar to geomspace, but with endpoints specified using log + and base. + linspace : Similar to geomspace, but with arithmetic instead of geometric + progression. + arange : Similar to linspace, with the step size specified instead of the + number of samples. + :ref:`how-to-partition` + + Notes + ----- + If the inputs or dtype are complex, the output will follow a logarithmic + spiral in the complex plane. (There are an infinite number of spirals + passing through two points; the output will follow the shortest such path.) + + Examples + -------- + >>> import numpy as np + >>> np.geomspace(1, 1000, num=4) + array([ 1., 10., 100., 1000.]) + >>> np.geomspace(1, 1000, num=3, endpoint=False) + array([ 1., 10., 100.]) + >>> np.geomspace(1, 1000, num=4, endpoint=False) + array([ 1. , 5.62341325, 31.6227766 , 177.827941 ]) + >>> np.geomspace(1, 256, num=9) + array([ 1., 2., 4., 8., 16., 32., 64., 128., 256.]) + + Note that the above may not produce exact integers: + + >>> np.geomspace(1, 256, num=9, dtype=int) + array([ 1, 2, 4, 7, 16, 32, 63, 127, 256]) + >>> np.around(np.geomspace(1, 256, num=9)).astype(int) + array([ 1, 2, 4, 8, 16, 32, 64, 128, 256]) + + Negative, decreasing, and complex inputs are allowed: + + >>> np.geomspace(1000, 1, num=4) + array([1000., 100., 10., 1.]) + >>> np.geomspace(-1000, -1, num=4) + array([-1000., -100., -10., -1.]) + >>> np.geomspace(1j, 1000j, num=4) # Straight line + array([0. +1.j, 0. +10.j, 0. +100.j, 0.+1000.j]) + >>> np.geomspace(-1+0j, 1+0j, num=5) # Circle + array([-1.00000000e+00+1.22464680e-16j, -7.07106781e-01+7.07106781e-01j, + 6.12323400e-17+1.00000000e+00j, 7.07106781e-01+7.07106781e-01j, + 1.00000000e+00+0.00000000e+00j]) + + Graphical illustration of `endpoint` parameter: + + >>> import matplotlib.pyplot as plt + >>> N = 10 + >>> y = np.zeros(N) + >>> plt.semilogx(np.geomspace(1, 1000, N, endpoint=True), y + 1, 'o') + [] + >>> plt.semilogx(np.geomspace(1, 1000, N, endpoint=False), y + 2, 'o') + [] + >>> plt.axis([0.5, 2000, 0, 3]) + [0.5, 2000, 0, 3] + >>> plt.grid(True, color='0.7', linestyle='-', which='both', axis='both') + >>> plt.show() + + """ + start = asanyarray(start) + stop = asanyarray(stop) + if _nx.any(start == 0) or _nx.any(stop == 0): + raise ValueError('Geometric sequence cannot include zero') + + dt = result_type(start, stop, float(num), _nx.zeros((), dtype)) + if dtype is None: + dtype = dt + else: + # complex to dtype('complex128'), for instance + dtype = _nx.dtype(dtype) + + # Promote both arguments to the same dtype in case, for instance, one is + # complex and another is negative and log would produce NaN otherwise. + # Copy since we may change things in-place further down. + start = start.astype(dt, copy=True) + stop = stop.astype(dt, copy=True) + + # Allow negative real values and ensure a consistent result for complex + # (including avoiding negligible real or imaginary parts in output) by + # rotating start to positive real, calculating, then undoing rotation. + out_sign = _nx.sign(start) + start /= out_sign + stop = stop / out_sign + + log_start = _nx.log10(start) + log_stop = _nx.log10(stop) + result = logspace(log_start, log_stop, num=num, + endpoint=endpoint, base=10.0, dtype=dt) + + # Make sure the endpoints match the start and stop arguments. This is + # necessary because np.exp(np.log(x)) is not necessarily equal to x. + if num > 0: + result[0] = start + if num > 1 and endpoint: + result[-1] = stop + + result *= out_sign + + if axis != 0: + result = _nx.moveaxis(result, 0, axis) + + return result.astype(dtype, copy=False) + + +def _needs_add_docstring(obj): + """ + Returns true if the only way to set the docstring of `obj` from python is + via add_docstring. + + This function errs on the side of being overly conservative. + """ + Py_TPFLAGS_HEAPTYPE = 1 << 9 + + if isinstance(obj, (types.FunctionType, types.MethodType, property)): + return False + + if isinstance(obj, type) and obj.__flags__ & Py_TPFLAGS_HEAPTYPE: + return False + + return True + + +def _add_docstring(obj, doc, warn_on_python): + if warn_on_python and not _needs_add_docstring(obj): + warnings.warn( + "add_newdoc was used on a pure-python object {}. " + "Prefer to attach it directly to the source." + .format(obj), + UserWarning, + stacklevel=3) + try: + add_docstring(obj, doc) + except Exception: + pass + + +def add_newdoc(place, obj, doc, warn_on_python=True): + """ + Add documentation to an existing object, typically one defined in C + + The purpose is to allow easier editing of the docstrings without requiring + a re-compile. This exists primarily for internal use within numpy itself. + + Parameters + ---------- + place : str + The absolute name of the module to import from + obj : str or None + The name of the object to add documentation to, typically a class or + function name. + doc : {str, Tuple[str, str], List[Tuple[str, str]]} + If a string, the documentation to apply to `obj` + + If a tuple, then the first element is interpreted as an attribute + of `obj` and the second as the docstring to apply - + ``(method, docstring)`` + + If a list, then each element of the list should be a tuple of length + two - ``[(method1, docstring1), (method2, docstring2), ...]`` + warn_on_python : bool + If True, the default, emit `UserWarning` if this is used to attach + documentation to a pure-python object. + + Notes + ----- + This routine never raises an error if the docstring can't be written, but + will raise an error if the object being documented does not exist. + + This routine cannot modify read-only docstrings, as appear + in new-style classes or built-in functions. Because this + routine never raises an error the caller must check manually + that the docstrings were changed. + + Since this function grabs the ``char *`` from a c-level str object and puts + it into the ``tp_doc`` slot of the type of `obj`, it violates a number of + C-API best-practices, by: + + - modifying a `PyTypeObject` after calling `PyType_Ready` + - calling `Py_INCREF` on the str and losing the reference, so the str + will never be released + + If possible it should be avoided. + """ + new = getattr(__import__(place, globals(), {}, [obj]), obj) + if isinstance(doc, str): + if "${ARRAY_FUNCTION_LIKE}" in doc: + doc = overrides.get_array_function_like_doc(new, doc) + _add_docstring(new, doc.strip(), warn_on_python) + elif isinstance(doc, tuple): + attr, docstring = doc + _add_docstring(getattr(new, attr), docstring.strip(), warn_on_python) + elif isinstance(doc, list): + for attr, docstring in doc: + _add_docstring( + getattr(new, attr), docstring.strip(), warn_on_python + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/function_base.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/function_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..12fdf677d0f5ff604ee9aca5d38c602ca79b295e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/function_base.pyi @@ -0,0 +1,235 @@ +from typing import ( + Literal as L, + overload, + Any, + SupportsIndex, + TypeVar, +) + +from numpy import floating, complexfloating, generic +from numpy._typing import ( + NDArray, + DTypeLike, + _DTypeLike, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, +) + +__all__ = ["logspace", "linspace", "geomspace"] + +_SCT = TypeVar("_SCT", bound=generic) + +@overload +def linspace( + start: _ArrayLikeFloat_co, + stop: _ArrayLikeFloat_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + retstep: L[False] = ..., + dtype: None = ..., + axis: SupportsIndex = ..., + *, + device: L["cpu"] | None = ..., +) -> NDArray[floating]: ... +@overload +def linspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + retstep: L[False] = ..., + dtype: None = ..., + axis: SupportsIndex = ..., + *, + device: L["cpu"] | None = ..., +) -> NDArray[complexfloating]: ... +@overload +def linspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex, + endpoint: bool, + retstep: L[False], + dtype: _DTypeLike[_SCT], + axis: SupportsIndex = ..., + *, + device: L["cpu"] | None = ..., +) -> NDArray[_SCT]: ... +@overload +def linspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + retstep: L[False] = ..., + *, + dtype: _DTypeLike[_SCT], + axis: SupportsIndex = ..., + device: L["cpu"] | None = ..., +) -> NDArray[_SCT]: ... +@overload +def linspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + retstep: L[False] = ..., + dtype: DTypeLike = ..., + axis: SupportsIndex = ..., + *, + device: L["cpu"] | None = ..., +) -> NDArray[Any]: ... +@overload +def linspace( + start: _ArrayLikeFloat_co, + stop: _ArrayLikeFloat_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + *, + retstep: L[True], + dtype: None = ..., + axis: SupportsIndex = ..., + device: L["cpu"] | None = ..., +) -> tuple[NDArray[floating], floating]: ... +@overload +def linspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + *, + retstep: L[True], + dtype: None = ..., + axis: SupportsIndex = ..., + device: L["cpu"] | None = ..., +) -> tuple[NDArray[complexfloating], complexfloating]: ... +@overload +def linspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + *, + retstep: L[True], + dtype: _DTypeLike[_SCT], + axis: SupportsIndex = ..., + device: L["cpu"] | None = ..., +) -> tuple[NDArray[_SCT], _SCT]: ... +@overload +def linspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + *, + retstep: L[True], + dtype: DTypeLike = ..., + axis: SupportsIndex = ..., + device: L["cpu"] | None = ..., +) -> tuple[NDArray[Any], Any]: ... + +@overload +def logspace( + start: _ArrayLikeFloat_co, + stop: _ArrayLikeFloat_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + base: _ArrayLikeFloat_co = ..., + dtype: None = ..., + axis: SupportsIndex = ..., +) -> NDArray[floating]: ... +@overload +def logspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + base: _ArrayLikeComplex_co = ..., + dtype: None = ..., + axis: SupportsIndex = ..., +) -> NDArray[complexfloating]: ... +@overload +def logspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex, + endpoint: bool, + base: _ArrayLikeComplex_co, + dtype: _DTypeLike[_SCT], + axis: SupportsIndex = ..., +) -> NDArray[_SCT]: ... +@overload +def logspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + base: _ArrayLikeComplex_co = ..., + *, + dtype: _DTypeLike[_SCT], + axis: SupportsIndex = ..., +) -> NDArray[_SCT]: ... +@overload +def logspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + base: _ArrayLikeComplex_co = ..., + dtype: DTypeLike = ..., + axis: SupportsIndex = ..., +) -> NDArray[Any]: ... + +@overload +def geomspace( + start: _ArrayLikeFloat_co, + stop: _ArrayLikeFloat_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + dtype: None = ..., + axis: SupportsIndex = ..., +) -> NDArray[floating]: ... +@overload +def geomspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + dtype: None = ..., + axis: SupportsIndex = ..., +) -> NDArray[complexfloating]: ... +@overload +def geomspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex, + endpoint: bool, + dtype: _DTypeLike[_SCT], + axis: SupportsIndex = ..., +) -> NDArray[_SCT]: ... +@overload +def geomspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + *, + dtype: _DTypeLike[_SCT], + axis: SupportsIndex = ..., +) -> NDArray[_SCT]: ... +@overload +def geomspace( + start: _ArrayLikeComplex_co, + stop: _ArrayLikeComplex_co, + num: SupportsIndex = ..., + endpoint: bool = ..., + dtype: DTypeLike = ..., + axis: SupportsIndex = ..., +) -> NDArray[Any]: ... + +def add_newdoc( + place: str, + obj: str, + doc: str | tuple[str, str] | list[tuple[str, str]], + warn_on_python: bool = ..., +) -> None: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/getlimits.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/getlimits.py new file mode 100644 index 0000000000000000000000000000000000000000..3ceb8139ee70582cb0865da7801b51b01293e5a7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/getlimits.py @@ -0,0 +1,747 @@ +"""Machine limits for Float32 and Float64 and (long double) if available... + +""" +__all__ = ['finfo', 'iinfo'] + +import types +import warnings + +from .._utils import set_module +from ._machar import MachAr +from . import numeric +from . import numerictypes as ntypes +from .numeric import array, inf, nan +from .umath import log10, exp2, nextafter, isnan + + +def _fr0(a): + """fix rank-0 --> rank-1""" + if a.ndim == 0: + a = a.copy() + a.shape = (1,) + return a + + +def _fr1(a): + """fix rank > 0 --> rank-0""" + if a.size == 1: + a = a.copy() + a.shape = () + return a + + +class MachArLike: + """ Object to simulate MachAr instance """ + def __init__(self, ftype, *, eps, epsneg, huge, tiny, + ibeta, smallest_subnormal=None, **kwargs): + self.params = _MACHAR_PARAMS[ftype] + self.ftype = ftype + self.title = self.params['title'] + # Parameter types same as for discovered MachAr object. + if not smallest_subnormal: + self._smallest_subnormal = nextafter( + self.ftype(0), self.ftype(1), dtype=self.ftype) + else: + self._smallest_subnormal = smallest_subnormal + self.epsilon = self.eps = self._float_to_float(eps) + self.epsneg = self._float_to_float(epsneg) + self.xmax = self.huge = self._float_to_float(huge) + self.xmin = self._float_to_float(tiny) + self.smallest_normal = self.tiny = self._float_to_float(tiny) + self.ibeta = self.params['itype'](ibeta) + self.__dict__.update(kwargs) + self.precision = int(-log10(self.eps)) + self.resolution = self._float_to_float( + self._float_conv(10) ** (-self.precision)) + self._str_eps = self._float_to_str(self.eps) + self._str_epsneg = self._float_to_str(self.epsneg) + self._str_xmin = self._float_to_str(self.xmin) + self._str_xmax = self._float_to_str(self.xmax) + self._str_resolution = self._float_to_str(self.resolution) + self._str_smallest_normal = self._float_to_str(self.xmin) + + @property + def smallest_subnormal(self): + """Return the value for the smallest subnormal. + + Returns + ------- + smallest_subnormal : float + value for the smallest subnormal. + + Warns + ----- + UserWarning + If the calculated value for the smallest subnormal is zero. + """ + # Check that the calculated value is not zero, in case it raises a + # warning. + value = self._smallest_subnormal + if self.ftype(0) == value: + warnings.warn( + 'The value of the smallest subnormal for {} type ' + 'is zero.'.format(self.ftype), UserWarning, stacklevel=2) + + return self._float_to_float(value) + + @property + def _str_smallest_subnormal(self): + """Return the string representation of the smallest subnormal.""" + return self._float_to_str(self.smallest_subnormal) + + def _float_to_float(self, value): + """Converts float to float. + + Parameters + ---------- + value : float + value to be converted. + """ + return _fr1(self._float_conv(value)) + + def _float_conv(self, value): + """Converts float to conv. + + Parameters + ---------- + value : float + value to be converted. + """ + return array([value], self.ftype) + + def _float_to_str(self, value): + """Converts float to str. + + Parameters + ---------- + value : float + value to be converted. + """ + return self.params['fmt'] % array(_fr0(value)[0], self.ftype) + + +_convert_to_float = { + ntypes.csingle: ntypes.single, + ntypes.complex128: ntypes.float64, + ntypes.clongdouble: ntypes.longdouble + } + +# Parameters for creating MachAr / MachAr-like objects +_title_fmt = 'numpy {} precision floating point number' +_MACHAR_PARAMS = { + ntypes.double: dict( + itype = ntypes.int64, + fmt = '%24.16e', + title = _title_fmt.format('double')), + ntypes.single: dict( + itype = ntypes.int32, + fmt = '%15.7e', + title = _title_fmt.format('single')), + ntypes.longdouble: dict( + itype = ntypes.longlong, + fmt = '%s', + title = _title_fmt.format('long double')), + ntypes.half: dict( + itype = ntypes.int16, + fmt = '%12.5e', + title = _title_fmt.format('half'))} + +# Key to identify the floating point type. Key is result of +# +# ftype = np.longdouble # or float64, float32, etc. +# v = (ftype(-1.0) / ftype(10.0)) +# v.view(v.dtype.newbyteorder('<')).tobytes() +# +# Uses division to work around deficiencies in strtold on some platforms. +# See: +# https://perl5.git.perl.org/perl.git/blob/3118d7d684b56cbeb702af874f4326683c45f045:/Configure + +_KNOWN_TYPES = {} +def _register_type(machar, bytepat): + _KNOWN_TYPES[bytepat] = machar + + +_float_ma = {} + + +def _register_known_types(): + # Known parameters for float16 + # See docstring of MachAr class for description of parameters. + f16 = ntypes.float16 + float16_ma = MachArLike(f16, + machep=-10, + negep=-11, + minexp=-14, + maxexp=16, + it=10, + iexp=5, + ibeta=2, + irnd=5, + ngrd=0, + eps=exp2(f16(-10)), + epsneg=exp2(f16(-11)), + huge=f16(65504), + tiny=f16(2 ** -14)) + _register_type(float16_ma, b'f\xae') + _float_ma[16] = float16_ma + + # Known parameters for float32 + f32 = ntypes.float32 + float32_ma = MachArLike(f32, + machep=-23, + negep=-24, + minexp=-126, + maxexp=128, + it=23, + iexp=8, + ibeta=2, + irnd=5, + ngrd=0, + eps=exp2(f32(-23)), + epsneg=exp2(f32(-24)), + huge=f32((1 - 2 ** -24) * 2**128), + tiny=exp2(f32(-126))) + _register_type(float32_ma, b'\xcd\xcc\xcc\xbd') + _float_ma[32] = float32_ma + + # Known parameters for float64 + f64 = ntypes.float64 + epsneg_f64 = 2.0 ** -53.0 + tiny_f64 = 2.0 ** -1022.0 + float64_ma = MachArLike(f64, + machep=-52, + negep=-53, + minexp=-1022, + maxexp=1024, + it=52, + iexp=11, + ibeta=2, + irnd=5, + ngrd=0, + eps=2.0 ** -52.0, + epsneg=epsneg_f64, + huge=(1.0 - epsneg_f64) / tiny_f64 * f64(4), + tiny=tiny_f64) + _register_type(float64_ma, b'\x9a\x99\x99\x99\x99\x99\xb9\xbf') + _float_ma[64] = float64_ma + + # Known parameters for IEEE 754 128-bit binary float + ld = ntypes.longdouble + epsneg_f128 = exp2(ld(-113)) + tiny_f128 = exp2(ld(-16382)) + # Ignore runtime error when this is not f128 + with numeric.errstate(all='ignore'): + huge_f128 = (ld(1) - epsneg_f128) / tiny_f128 * ld(4) + float128_ma = MachArLike(ld, + machep=-112, + negep=-113, + minexp=-16382, + maxexp=16384, + it=112, + iexp=15, + ibeta=2, + irnd=5, + ngrd=0, + eps=exp2(ld(-112)), + epsneg=epsneg_f128, + huge=huge_f128, + tiny=tiny_f128) + # IEEE 754 128-bit binary float + _register_type(float128_ma, + b'\x9a\x99\x99\x99\x99\x99\x99\x99\x99\x99\x99\x99\x99\x99\xfb\xbf') + _float_ma[128] = float128_ma + + # Known parameters for float80 (Intel 80-bit extended precision) + epsneg_f80 = exp2(ld(-64)) + tiny_f80 = exp2(ld(-16382)) + # Ignore runtime error when this is not f80 + with numeric.errstate(all='ignore'): + huge_f80 = (ld(1) - epsneg_f80) / tiny_f80 * ld(4) + float80_ma = MachArLike(ld, + machep=-63, + negep=-64, + minexp=-16382, + maxexp=16384, + it=63, + iexp=15, + ibeta=2, + irnd=5, + ngrd=0, + eps=exp2(ld(-63)), + epsneg=epsneg_f80, + huge=huge_f80, + tiny=tiny_f80) + # float80, first 10 bytes containing actual storage + _register_type(float80_ma, b'\xcd\xcc\xcc\xcc\xcc\xcc\xcc\xcc\xfb\xbf') + _float_ma[80] = float80_ma + + # Guessed / known parameters for double double; see: + # https://en.wikipedia.org/wiki/Quadruple-precision_floating-point_format#Double-double_arithmetic + # These numbers have the same exponent range as float64, but extended + # number of digits in the significand. + huge_dd = nextafter(ld(inf), ld(0), dtype=ld) + # As the smallest_normal in double double is so hard to calculate we set + # it to NaN. + smallest_normal_dd = nan + # Leave the same value for the smallest subnormal as double + smallest_subnormal_dd = ld(nextafter(0., 1.)) + float_dd_ma = MachArLike(ld, + machep=-105, + negep=-106, + minexp=-1022, + maxexp=1024, + it=105, + iexp=11, + ibeta=2, + irnd=5, + ngrd=0, + eps=exp2(ld(-105)), + epsneg=exp2(ld(-106)), + huge=huge_dd, + tiny=smallest_normal_dd, + smallest_subnormal=smallest_subnormal_dd) + # double double; low, high order (e.g. PPC 64) + _register_type(float_dd_ma, + b'\x9a\x99\x99\x99\x99\x99Y<\x9a\x99\x99\x99\x99\x99\xb9\xbf') + # double double; high, low order (e.g. PPC 64 le) + _register_type(float_dd_ma, + b'\x9a\x99\x99\x99\x99\x99\xb9\xbf\x9a\x99\x99\x99\x99\x99Y<') + _float_ma['dd'] = float_dd_ma + + +def _get_machar(ftype): + """ Get MachAr instance or MachAr-like instance + + Get parameters for floating point type, by first trying signatures of + various known floating point types, then, if none match, attempting to + identify parameters by analysis. + + Parameters + ---------- + ftype : class + Numpy floating point type class (e.g. ``np.float64``) + + Returns + ------- + ma_like : instance of :class:`MachAr` or :class:`MachArLike` + Object giving floating point parameters for `ftype`. + + Warns + ----- + UserWarning + If the binary signature of the float type is not in the dictionary of + known float types. + """ + params = _MACHAR_PARAMS.get(ftype) + if params is None: + raise ValueError(repr(ftype)) + # Detect known / suspected types + # ftype(-1.0) / ftype(10.0) is better than ftype('-0.1') because stold + # may be deficient + key = (ftype(-1.0) / ftype(10.)) + key = key.view(key.dtype.newbyteorder("<")).tobytes() + ma_like = None + if ftype == ntypes.longdouble: + # Could be 80 bit == 10 byte extended precision, where last bytes can + # be random garbage. + # Comparing first 10 bytes to pattern first to avoid branching on the + # random garbage. + ma_like = _KNOWN_TYPES.get(key[:10]) + if ma_like is None: + # see if the full key is known. + ma_like = _KNOWN_TYPES.get(key) + if ma_like is None and len(key) == 16: + # machine limits could be f80 masquerading as np.float128, + # find all keys with length 16 and make new dict, but make the keys + # only 10 bytes long, the last bytes can be random garbage + _kt = {k[:10]: v for k, v in _KNOWN_TYPES.items() if len(k) == 16} + ma_like = _kt.get(key[:10]) + if ma_like is not None: + return ma_like + # Fall back to parameter discovery + warnings.warn( + f'Signature {key} for {ftype} does not match any known type: ' + 'falling back to type probe function.\n' + 'This warnings indicates broken support for the dtype!', + UserWarning, stacklevel=2) + return _discovered_machar(ftype) + + +def _discovered_machar(ftype): + """ Create MachAr instance with found information on float types + + TODO: MachAr should be retired completely ideally. We currently only + ever use it system with broken longdouble (valgrind, WSL). + """ + params = _MACHAR_PARAMS[ftype] + return MachAr(lambda v: array([v], ftype), + lambda v: _fr0(v.astype(params['itype']))[0], + lambda v: array(_fr0(v)[0], ftype), + lambda v: params['fmt'] % array(_fr0(v)[0], ftype), + params['title']) + + +@set_module('numpy') +class finfo: + """ + finfo(dtype) + + Machine limits for floating point types. + + Attributes + ---------- + bits : int + The number of bits occupied by the type. + dtype : dtype + Returns the dtype for which `finfo` returns information. For complex + input, the returned dtype is the associated ``float*`` dtype for its + real and complex components. + eps : float + The difference between 1.0 and the next smallest representable float + larger than 1.0. For example, for 64-bit binary floats in the IEEE-754 + standard, ``eps = 2**-52``, approximately 2.22e-16. + epsneg : float + The difference between 1.0 and the next smallest representable float + less than 1.0. For example, for 64-bit binary floats in the IEEE-754 + standard, ``epsneg = 2**-53``, approximately 1.11e-16. + iexp : int + The number of bits in the exponent portion of the floating point + representation. + machep : int + The exponent that yields `eps`. + max : floating point number of the appropriate type + The largest representable number. + maxexp : int + The smallest positive power of the base (2) that causes overflow. + min : floating point number of the appropriate type + The smallest representable number, typically ``-max``. + minexp : int + The most negative power of the base (2) consistent with there + being no leading 0's in the mantissa. + negep : int + The exponent that yields `epsneg`. + nexp : int + The number of bits in the exponent including its sign and bias. + nmant : int + The number of bits in the mantissa. + precision : int + The approximate number of decimal digits to which this kind of + float is precise. + resolution : floating point number of the appropriate type + The approximate decimal resolution of this type, i.e., + ``10**-precision``. + tiny : float + An alias for `smallest_normal`, kept for backwards compatibility. + smallest_normal : float + The smallest positive floating point number with 1 as leading bit in + the mantissa following IEEE-754 (see Notes). + smallest_subnormal : float + The smallest positive floating point number with 0 as leading bit in + the mantissa following IEEE-754. + + Parameters + ---------- + dtype : float, dtype, or instance + Kind of floating point or complex floating point + data-type about which to get information. + + See Also + -------- + iinfo : The equivalent for integer data types. + spacing : The distance between a value and the nearest adjacent number + nextafter : The next floating point value after x1 towards x2 + + Notes + ----- + For developers of NumPy: do not instantiate this at the module level. + The initial calculation of these parameters is expensive and negatively + impacts import times. These objects are cached, so calling ``finfo()`` + repeatedly inside your functions is not a problem. + + Note that ``smallest_normal`` is not actually the smallest positive + representable value in a NumPy floating point type. As in the IEEE-754 + standard [1]_, NumPy floating point types make use of subnormal numbers to + fill the gap between 0 and ``smallest_normal``. However, subnormal numbers + may have significantly reduced precision [2]_. + + This function can also be used for complex data types as well. If used, + the output will be the same as the corresponding real float type + (e.g. numpy.finfo(numpy.csingle) is the same as numpy.finfo(numpy.single)). + However, the output is true for the real and imaginary components. + + References + ---------- + .. [1] IEEE Standard for Floating-Point Arithmetic, IEEE Std 754-2008, + pp.1-70, 2008, https://doi.org/10.1109/IEEESTD.2008.4610935 + .. [2] Wikipedia, "Denormal Numbers", + https://en.wikipedia.org/wiki/Denormal_number + + Examples + -------- + >>> import numpy as np + >>> np.finfo(np.float64).dtype + dtype('float64') + >>> np.finfo(np.complex64).dtype + dtype('float32') + + """ + + _finfo_cache = {} + + __class_getitem__ = classmethod(types.GenericAlias) + + def __new__(cls, dtype): + try: + obj = cls._finfo_cache.get(dtype) # most common path + if obj is not None: + return obj + except TypeError: + pass + + if dtype is None: + # Deprecated in NumPy 1.25, 2023-01-16 + warnings.warn( + "finfo() dtype cannot be None. This behavior will " + "raise an error in the future. (Deprecated in NumPy 1.25)", + DeprecationWarning, + stacklevel=2 + ) + + try: + dtype = numeric.dtype(dtype) + except TypeError: + # In case a float instance was given + dtype = numeric.dtype(type(dtype)) + + obj = cls._finfo_cache.get(dtype) + if obj is not None: + return obj + dtypes = [dtype] + newdtype = ntypes.obj2sctype(dtype) + if newdtype is not dtype: + dtypes.append(newdtype) + dtype = newdtype + if not issubclass(dtype, numeric.inexact): + raise ValueError("data type %r not inexact" % (dtype)) + obj = cls._finfo_cache.get(dtype) + if obj is not None: + return obj + if not issubclass(dtype, numeric.floating): + newdtype = _convert_to_float[dtype] + if newdtype is not dtype: + # dtype changed, for example from complex128 to float64 + dtypes.append(newdtype) + dtype = newdtype + + obj = cls._finfo_cache.get(dtype, None) + if obj is not None: + # the original dtype was not in the cache, but the new + # dtype is in the cache. we add the original dtypes to + # the cache and return the result + for dt in dtypes: + cls._finfo_cache[dt] = obj + return obj + obj = object.__new__(cls)._init(dtype) + for dt in dtypes: + cls._finfo_cache[dt] = obj + return obj + + def _init(self, dtype): + self.dtype = numeric.dtype(dtype) + machar = _get_machar(dtype) + + for word in ['precision', 'iexp', + 'maxexp', 'minexp', 'negep', + 'machep']: + setattr(self, word, getattr(machar, word)) + for word in ['resolution', 'epsneg', 'smallest_subnormal']: + setattr(self, word, getattr(machar, word).flat[0]) + self.bits = self.dtype.itemsize * 8 + self.max = machar.huge.flat[0] + self.min = -self.max + self.eps = machar.eps.flat[0] + self.nexp = machar.iexp + self.nmant = machar.it + self._machar = machar + self._str_tiny = machar._str_xmin.strip() + self._str_max = machar._str_xmax.strip() + self._str_epsneg = machar._str_epsneg.strip() + self._str_eps = machar._str_eps.strip() + self._str_resolution = machar._str_resolution.strip() + self._str_smallest_normal = machar._str_smallest_normal.strip() + self._str_smallest_subnormal = machar._str_smallest_subnormal.strip() + return self + + def __str__(self): + fmt = ( + 'Machine parameters for %(dtype)s\n' + '---------------------------------------------------------------\n' + 'precision = %(precision)3s resolution = %(_str_resolution)s\n' + 'machep = %(machep)6s eps = %(_str_eps)s\n' + 'negep = %(negep)6s epsneg = %(_str_epsneg)s\n' + 'minexp = %(minexp)6s tiny = %(_str_tiny)s\n' + 'maxexp = %(maxexp)6s max = %(_str_max)s\n' + 'nexp = %(nexp)6s min = -max\n' + 'smallest_normal = %(_str_smallest_normal)s ' + 'smallest_subnormal = %(_str_smallest_subnormal)s\n' + '---------------------------------------------------------------\n' + ) + return fmt % self.__dict__ + + def __repr__(self): + c = self.__class__.__name__ + d = self.__dict__.copy() + d['klass'] = c + return (("%(klass)s(resolution=%(resolution)s, min=-%(_str_max)s," + " max=%(_str_max)s, dtype=%(dtype)s)") % d) + + @property + def smallest_normal(self): + """Return the value for the smallest normal. + + Returns + ------- + smallest_normal : float + Value for the smallest normal. + + Warns + ----- + UserWarning + If the calculated value for the smallest normal is requested for + double-double. + """ + # This check is necessary because the value for smallest_normal is + # platform dependent for longdouble types. + if isnan(self._machar.smallest_normal.flat[0]): + warnings.warn( + 'The value of smallest normal is undefined for double double', + UserWarning, stacklevel=2) + return self._machar.smallest_normal.flat[0] + + @property + def tiny(self): + """Return the value for tiny, alias of smallest_normal. + + Returns + ------- + tiny : float + Value for the smallest normal, alias of smallest_normal. + + Warns + ----- + UserWarning + If the calculated value for the smallest normal is requested for + double-double. + """ + return self.smallest_normal + + +@set_module('numpy') +class iinfo: + """ + iinfo(type) + + Machine limits for integer types. + + Attributes + ---------- + bits : int + The number of bits occupied by the type. + dtype : dtype + Returns the dtype for which `iinfo` returns information. + min : int + The smallest integer expressible by the type. + max : int + The largest integer expressible by the type. + + Parameters + ---------- + int_type : integer type, dtype, or instance + The kind of integer data type to get information about. + + See Also + -------- + finfo : The equivalent for floating point data types. + + Examples + -------- + With types: + + >>> import numpy as np + >>> ii16 = np.iinfo(np.int16) + >>> ii16.min + -32768 + >>> ii16.max + 32767 + >>> ii32 = np.iinfo(np.int32) + >>> ii32.min + -2147483648 + >>> ii32.max + 2147483647 + + With instances: + + >>> ii32 = np.iinfo(np.int32(10)) + >>> ii32.min + -2147483648 + >>> ii32.max + 2147483647 + + """ + + _min_vals = {} + _max_vals = {} + + __class_getitem__ = classmethod(types.GenericAlias) + + def __init__(self, int_type): + try: + self.dtype = numeric.dtype(int_type) + except TypeError: + self.dtype = numeric.dtype(type(int_type)) + self.kind = self.dtype.kind + self.bits = self.dtype.itemsize * 8 + self.key = "%s%d" % (self.kind, self.bits) + if self.kind not in 'iu': + raise ValueError("Invalid integer data type %r." % (self.kind,)) + + @property + def min(self): + """Minimum value of given dtype.""" + if self.kind == 'u': + return 0 + else: + try: + val = iinfo._min_vals[self.key] + except KeyError: + val = int(-(1 << (self.bits-1))) + iinfo._min_vals[self.key] = val + return val + + @property + def max(self): + """Maximum value of given dtype.""" + try: + val = iinfo._max_vals[self.key] + except KeyError: + if self.kind == 'u': + val = int((1 << self.bits) - 1) + else: + val = int((1 << (self.bits-1)) - 1) + iinfo._max_vals[self.key] = val + return val + + def __str__(self): + """String representation.""" + fmt = ( + 'Machine parameters for %(dtype)s\n' + '---------------------------------------------------------------\n' + 'min = %(min)s\n' + 'max = %(max)s\n' + '---------------------------------------------------------------\n' + ) + return fmt % {'dtype': self.dtype, 'min': self.min, 'max': self.max} + + def __repr__(self): + return "%s(min=%s, max=%s, dtype=%s)" % (self.__class__.__name__, + self.min, self.max, self.dtype) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/getlimits.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/getlimits.pyi new file mode 100644 index 0000000000000000000000000000000000000000..9d79b178f4dc07ec25c365e06a186cc9ae2e5baf --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/getlimits.pyi @@ -0,0 +1,3 @@ +from numpy import finfo, iinfo + +__all__ = ["finfo", "iinfo"] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__multiarray_api.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__multiarray_api.c new file mode 100644 index 0000000000000000000000000000000000000000..c1a152704fa18c79f928b8fa6644f362579383f1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__multiarray_api.c @@ -0,0 +1,376 @@ + +/* These pointers will be stored in the C-object for use in other + extension modules +*/ + +void *PyArray_API[] = { + (void *) PyArray_GetNDArrayCVersion, + NULL, + (void *) &PyArray_Type, + (void *) &PyArrayDescr_Type, + NULL, + (void *) &PyArrayIter_Type, + (void *) &PyArrayMultiIter_Type, + (int *) &NPY_NUMUSERTYPES, + (void *) &PyBoolArrType_Type, + (void *) &_PyArrayScalar_BoolValues, + (void *) &PyGenericArrType_Type, + (void *) &PyNumberArrType_Type, + (void *) &PyIntegerArrType_Type, + (void *) &PySignedIntegerArrType_Type, + (void *) &PyUnsignedIntegerArrType_Type, + (void *) &PyInexactArrType_Type, + (void *) &PyFloatingArrType_Type, + (void *) &PyComplexFloatingArrType_Type, + (void *) &PyFlexibleArrType_Type, + (void *) &PyCharacterArrType_Type, + (void *) &PyByteArrType_Type, + (void *) &PyShortArrType_Type, + (void *) &PyIntArrType_Type, + (void *) &PyLongArrType_Type, + (void *) &PyLongLongArrType_Type, + (void *) &PyUByteArrType_Type, + (void *) &PyUShortArrType_Type, + (void *) &PyUIntArrType_Type, + (void *) &PyULongArrType_Type, + (void *) &PyULongLongArrType_Type, + (void *) &PyFloatArrType_Type, + (void *) &PyDoubleArrType_Type, + (void *) &PyLongDoubleArrType_Type, + (void *) &PyCFloatArrType_Type, + (void *) &PyCDoubleArrType_Type, + (void *) &PyCLongDoubleArrType_Type, + (void *) &PyObjectArrType_Type, + (void *) &PyStringArrType_Type, + (void *) &PyUnicodeArrType_Type, + (void *) &PyVoidArrType_Type, + NULL, + NULL, + (void *) PyArray_INCREF, + (void *) PyArray_XDECREF, + (void *) PyArray_SetStringFunction, + (void *) PyArray_DescrFromType, + (void *) PyArray_TypeObjectFromType, + (void *) PyArray_Zero, + (void *) PyArray_One, + (void *) PyArray_CastToType, + (void *) PyArray_CopyInto, + (void *) PyArray_CopyAnyInto, + (void *) PyArray_CanCastSafely, + (void *) PyArray_CanCastTo, + (void *) PyArray_ObjectType, + (void *) PyArray_DescrFromObject, + (void *) PyArray_ConvertToCommonType, + (void *) PyArray_DescrFromScalar, + (void *) PyArray_DescrFromTypeObject, + (void *) PyArray_Size, + (void *) PyArray_Scalar, + (void *) PyArray_FromScalar, + (void *) PyArray_ScalarAsCtype, + (void *) PyArray_CastScalarToCtype, + (void *) PyArray_CastScalarDirect, + (void *) PyArray_Pack, + NULL, + NULL, + NULL, + (void *) PyArray_FromAny, + (void *) PyArray_EnsureArray, + (void *) PyArray_EnsureAnyArray, + (void *) PyArray_FromFile, + (void *) PyArray_FromString, + (void *) PyArray_FromBuffer, + (void *) PyArray_FromIter, + (void *) PyArray_Return, + (void *) PyArray_GetField, + (void *) PyArray_SetField, + (void *) PyArray_Byteswap, + (void *) PyArray_Resize, + NULL, + NULL, + NULL, + (void *) PyArray_CopyObject, + (void *) PyArray_NewCopy, + (void *) PyArray_ToList, + (void *) PyArray_ToString, + (void *) PyArray_ToFile, + (void *) PyArray_Dump, + (void *) PyArray_Dumps, + (void *) PyArray_ValidType, + (void *) PyArray_UpdateFlags, + (void *) PyArray_New, + (void *) PyArray_NewFromDescr, + (void *) PyArray_DescrNew, + (void *) PyArray_DescrNewFromType, + (void *) PyArray_GetPriority, + (void *) PyArray_IterNew, + (void *) PyArray_MultiIterNew, + (void *) PyArray_PyIntAsInt, + (void *) PyArray_PyIntAsIntp, + (void *) PyArray_Broadcast, + NULL, + (void *) PyArray_FillWithScalar, + (void *) PyArray_CheckStrides, + (void *) PyArray_DescrNewByteorder, + (void *) PyArray_IterAllButAxis, + (void *) PyArray_CheckFromAny, + (void *) PyArray_FromArray, + (void *) PyArray_FromInterface, + (void *) PyArray_FromStructInterface, + (void *) PyArray_FromArrayAttr, + (void *) PyArray_ScalarKind, + (void *) PyArray_CanCoerceScalar, + NULL, + (void *) PyArray_CanCastScalar, + NULL, + (void *) PyArray_RemoveSmallest, + (void *) PyArray_ElementStrides, + (void *) PyArray_Item_INCREF, + (void *) PyArray_Item_XDECREF, + NULL, + (void *) PyArray_Transpose, + (void *) PyArray_TakeFrom, + (void *) PyArray_PutTo, + (void *) PyArray_PutMask, + (void *) PyArray_Repeat, + (void *) PyArray_Choose, + (void *) PyArray_Sort, + (void *) PyArray_ArgSort, + (void *) PyArray_SearchSorted, + (void *) PyArray_ArgMax, + (void *) PyArray_ArgMin, + (void *) PyArray_Reshape, + (void *) PyArray_Newshape, + (void *) PyArray_Squeeze, + (void *) PyArray_View, + (void *) PyArray_SwapAxes, + (void *) PyArray_Max, + (void *) PyArray_Min, + (void *) PyArray_Ptp, + (void *) PyArray_Mean, + (void *) PyArray_Trace, + (void *) PyArray_Diagonal, + (void *) PyArray_Clip, + (void *) PyArray_Conjugate, + (void *) PyArray_Nonzero, + (void *) PyArray_Std, + (void *) PyArray_Sum, + (void *) PyArray_CumSum, + (void *) PyArray_Prod, + (void *) PyArray_CumProd, + (void *) PyArray_All, + (void *) PyArray_Any, + (void *) PyArray_Compress, + (void *) PyArray_Flatten, + (void *) PyArray_Ravel, + (void *) PyArray_MultiplyList, + (void *) PyArray_MultiplyIntList, + (void *) PyArray_GetPtr, + (void *) PyArray_CompareLists, + (void *) PyArray_AsCArray, + NULL, + NULL, + (void *) PyArray_Free, + (void *) PyArray_Converter, + (void *) PyArray_IntpFromSequence, + (void *) PyArray_Concatenate, + (void *) PyArray_InnerProduct, + (void *) PyArray_MatrixProduct, + NULL, + (void *) PyArray_Correlate, + NULL, + (void *) PyArray_DescrConverter, + (void *) PyArray_DescrConverter2, + (void *) PyArray_IntpConverter, + (void *) PyArray_BufferConverter, + (void *) PyArray_AxisConverter, + (void *) PyArray_BoolConverter, + (void *) PyArray_ByteorderConverter, + (void *) PyArray_OrderConverter, + (void *) PyArray_EquivTypes, + (void *) PyArray_Zeros, + (void *) PyArray_Empty, + (void *) PyArray_Where, + (void *) PyArray_Arange, + (void *) PyArray_ArangeObj, + (void *) PyArray_SortkindConverter, + (void *) PyArray_LexSort, + (void *) PyArray_Round, + (void *) PyArray_EquivTypenums, + (void *) PyArray_RegisterDataType, + (void *) PyArray_RegisterCastFunc, + (void *) PyArray_RegisterCanCast, + (void *) PyArray_InitArrFuncs, + (void *) PyArray_IntTupleFromIntp, + NULL, + (void *) PyArray_ClipmodeConverter, + (void *) PyArray_OutputConverter, + (void *) PyArray_BroadcastToShape, + NULL, + NULL, + (void *) PyArray_DescrAlignConverter, + (void *) PyArray_DescrAlignConverter2, + (void *) PyArray_SearchsideConverter, + (void *) PyArray_CheckAxis, + (void *) PyArray_OverflowMultiplyList, + NULL, + (void *) PyArray_MultiIterFromObjects, + (void *) PyArray_GetEndianness, + (void *) PyArray_GetNDArrayCFeatureVersion, + (void *) PyArray_Correlate2, + (void *) PyArray_NeighborhoodIterNew, + (void *) &PyTimeIntegerArrType_Type, + (void *) &PyDatetimeArrType_Type, + (void *) &PyTimedeltaArrType_Type, + (void *) &PyHalfArrType_Type, + (void *) &NpyIter_Type, + NULL, + NULL, + NULL, + NULL, + NULL, + (void *) NpyIter_New, + (void *) NpyIter_MultiNew, + (void *) NpyIter_AdvancedNew, + (void *) NpyIter_Copy, + (void *) NpyIter_Deallocate, + (void *) NpyIter_HasDelayedBufAlloc, + (void *) NpyIter_HasExternalLoop, + (void *) NpyIter_EnableExternalLoop, + (void *) NpyIter_GetInnerStrideArray, + (void *) NpyIter_GetInnerLoopSizePtr, + (void *) NpyIter_Reset, + (void *) NpyIter_ResetBasePointers, + (void *) NpyIter_ResetToIterIndexRange, + (void *) NpyIter_GetNDim, + (void *) NpyIter_GetNOp, + (void *) NpyIter_GetIterNext, + (void *) NpyIter_GetIterSize, + (void *) NpyIter_GetIterIndexRange, + (void *) NpyIter_GetIterIndex, + (void *) NpyIter_GotoIterIndex, + (void *) NpyIter_HasMultiIndex, + (void *) NpyIter_GetShape, + (void *) NpyIter_GetGetMultiIndex, + (void *) NpyIter_GotoMultiIndex, + (void *) NpyIter_RemoveMultiIndex, + (void *) NpyIter_HasIndex, + (void *) NpyIter_IsBuffered, + (void *) NpyIter_IsGrowInner, + (void *) NpyIter_GetBufferSize, + (void *) NpyIter_GetIndexPtr, + (void *) NpyIter_GotoIndex, + (void *) NpyIter_GetDataPtrArray, + (void *) NpyIter_GetDescrArray, + (void *) NpyIter_GetOperandArray, + (void *) NpyIter_GetIterView, + (void *) NpyIter_GetReadFlags, + (void *) NpyIter_GetWriteFlags, + (void *) NpyIter_DebugPrint, + (void *) NpyIter_IterationNeedsAPI, + (void *) NpyIter_GetInnerFixedStrideArray, + (void *) NpyIter_RemoveAxis, + (void *) NpyIter_GetAxisStrideArray, + (void *) NpyIter_RequiresBuffering, + (void *) NpyIter_GetInitialDataPtrArray, + (void *) NpyIter_CreateCompatibleStrides, + (void *) PyArray_CastingConverter, + (void *) PyArray_CountNonzero, + (void *) PyArray_PromoteTypes, + (void *) PyArray_MinScalarType, + (void *) PyArray_ResultType, + (void *) PyArray_CanCastArrayTo, + (void *) PyArray_CanCastTypeTo, + (void *) PyArray_EinsteinSum, + (void *) PyArray_NewLikeArray, + NULL, + (void *) PyArray_ConvertClipmodeSequence, + (void *) PyArray_MatrixProduct2, + (void *) NpyIter_IsFirstVisit, + (void *) PyArray_SetBaseObject, + (void *) PyArray_CreateSortedStridePerm, + (void *) PyArray_RemoveAxesInPlace, + (void *) PyArray_DebugPrint, + (void *) PyArray_FailUnlessWriteable, + (void *) PyArray_SetUpdateIfCopyBase, + (void *) PyDataMem_NEW, + (void *) PyDataMem_FREE, + (void *) PyDataMem_RENEW, + NULL, + (NPY_CASTING *) &NPY_DEFAULT_ASSIGN_CASTING, + NULL, + NULL, + NULL, + (void *) PyArray_Partition, + (void *) PyArray_ArgPartition, + (void *) PyArray_SelectkindConverter, + (void *) PyDataMem_NEW_ZEROED, + (void *) PyArray_CheckAnyScalarExact, + NULL, + (void *) PyArray_ResolveWritebackIfCopy, + (void *) PyArray_SetWritebackIfCopyBase, + (void *) PyDataMem_SetHandler, + (void *) PyDataMem_GetHandler, + (PyObject* *) &PyDataMem_DefaultHandler, + (void *) NpyDatetime_ConvertDatetime64ToDatetimeStruct, + (void *) NpyDatetime_ConvertDatetimeStructToDatetime64, + (void *) NpyDatetime_ConvertPyDateTimeToDatetimeStruct, + (void *) NpyDatetime_GetDatetimeISO8601StrLen, + (void *) NpyDatetime_MakeISO8601Datetime, + (void *) NpyDatetime_ParseISO8601Datetime, + (void *) NpyString_load, + (void *) NpyString_pack, + (void *) NpyString_pack_null, + (void *) NpyString_acquire_allocator, + (void *) NpyString_acquire_allocators, + (void *) NpyString_release_allocator, + (void *) NpyString_release_allocators, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + (void *) PyArray_GetDefaultDescr, + (void *) PyArrayInitDTypeMeta_FromSpec, + (void *) PyArray_CommonDType, + (void *) PyArray_PromoteDTypeSequence, + (void *) _PyDataType_GetArrFuncs, + NULL, + NULL, + NULL +}; diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__multiarray_api.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__multiarray_api.h new file mode 100644 index 0000000000000000000000000000000000000000..cfc3628aa53e41f22d81877df31d40020519bebf --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__multiarray_api.h @@ -0,0 +1,1613 @@ + +#if defined(_MULTIARRAYMODULE) || defined(WITH_CPYCHECKER_STEALS_REFERENCE_TO_ARG_ATTRIBUTE) + +typedef struct { + PyObject_HEAD + npy_bool obval; +} PyBoolScalarObject; + +extern NPY_NO_EXPORT PyTypeObject PyArrayNeighborhoodIter_Type; +extern NPY_NO_EXPORT PyBoolScalarObject _PyArrayScalar_BoolValues[2]; + +NPY_NO_EXPORT unsigned int PyArray_GetNDArrayCVersion \ + (void); +extern NPY_NO_EXPORT PyTypeObject PyArray_Type; + +extern NPY_NO_EXPORT PyArray_DTypeMeta PyArrayDescr_TypeFull; +#define PyArrayDescr_Type (*(PyTypeObject *)(&PyArrayDescr_TypeFull)) + +extern NPY_NO_EXPORT PyTypeObject PyArrayIter_Type; + +extern NPY_NO_EXPORT PyTypeObject PyArrayMultiIter_Type; + +extern NPY_NO_EXPORT int NPY_NUMUSERTYPES; + +extern NPY_NO_EXPORT PyTypeObject PyBoolArrType_Type; + +extern NPY_NO_EXPORT PyBoolScalarObject _PyArrayScalar_BoolValues[2]; + +extern NPY_NO_EXPORT PyTypeObject PyGenericArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyNumberArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyIntegerArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PySignedIntegerArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyUnsignedIntegerArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyInexactArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyFloatingArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyComplexFloatingArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyFlexibleArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyCharacterArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyByteArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyShortArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyIntArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyLongArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyLongLongArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyUByteArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyUShortArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyUIntArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyULongArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyULongLongArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyFloatArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyDoubleArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyLongDoubleArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyCFloatArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyCDoubleArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyCLongDoubleArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyObjectArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyStringArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyUnicodeArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyVoidArrType_Type; + +NPY_NO_EXPORT int PyArray_INCREF \ + (PyArrayObject *); +NPY_NO_EXPORT int PyArray_XDECREF \ + (PyArrayObject *); +NPY_NO_EXPORT void PyArray_SetStringFunction \ + (PyObject *, int); +NPY_NO_EXPORT PyArray_Descr * PyArray_DescrFromType \ + (int); +NPY_NO_EXPORT PyObject * PyArray_TypeObjectFromType \ + (int); +NPY_NO_EXPORT char * PyArray_Zero \ + (PyArrayObject *); +NPY_NO_EXPORT char * PyArray_One \ + (PyArrayObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_CastToType \ + (PyArrayObject *, PyArray_Descr *, int); +NPY_NO_EXPORT int PyArray_CopyInto \ + (PyArrayObject *, PyArrayObject *); +NPY_NO_EXPORT int PyArray_CopyAnyInto \ + (PyArrayObject *, PyArrayObject *); +NPY_NO_EXPORT int PyArray_CanCastSafely \ + (int, int); +NPY_NO_EXPORT npy_bool PyArray_CanCastTo \ + (PyArray_Descr *, PyArray_Descr *); +NPY_NO_EXPORT int PyArray_ObjectType \ + (PyObject *, int); +NPY_NO_EXPORT PyArray_Descr * PyArray_DescrFromObject \ + (PyObject *, PyArray_Descr *); +NPY_NO_EXPORT PyArrayObject ** PyArray_ConvertToCommonType \ + (PyObject *, int *); +NPY_NO_EXPORT PyArray_Descr * PyArray_DescrFromScalar \ + (PyObject *); +NPY_NO_EXPORT PyArray_Descr * PyArray_DescrFromTypeObject \ + (PyObject *); +NPY_NO_EXPORT npy_intp PyArray_Size \ + (PyObject *); +NPY_NO_EXPORT PyObject * PyArray_Scalar \ + (void *, PyArray_Descr *, PyObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_FromScalar \ + (PyObject *, PyArray_Descr *); +NPY_NO_EXPORT void PyArray_ScalarAsCtype \ + (PyObject *, void *); +NPY_NO_EXPORT int PyArray_CastScalarToCtype \ + (PyObject *, void *, PyArray_Descr *); +NPY_NO_EXPORT int PyArray_CastScalarDirect \ + (PyObject *, PyArray_Descr *, void *, int); +NPY_NO_EXPORT int PyArray_Pack \ + (PyArray_Descr *, void *, PyObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_FromAny \ + (PyObject *, PyArray_Descr *, int, int, int, PyObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(1) PyObject * PyArray_EnsureArray \ + (PyObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(1) PyObject * PyArray_EnsureAnyArray \ + (PyObject *); +NPY_NO_EXPORT PyObject * PyArray_FromFile \ + (FILE *, PyArray_Descr *, npy_intp, char *); +NPY_NO_EXPORT PyObject * PyArray_FromString \ + (char *, npy_intp, PyArray_Descr *, npy_intp, char *); +NPY_NO_EXPORT PyObject * PyArray_FromBuffer \ + (PyObject *, PyArray_Descr *, npy_intp, npy_intp); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_FromIter \ + (PyObject *, PyArray_Descr *, npy_intp); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(1) PyObject * PyArray_Return \ + (PyArrayObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_GetField \ + (PyArrayObject *, PyArray_Descr *, int); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) int PyArray_SetField \ + (PyArrayObject *, PyArray_Descr *, int, PyObject *); +NPY_NO_EXPORT PyObject * PyArray_Byteswap \ + (PyArrayObject *, npy_bool); +NPY_NO_EXPORT PyObject * PyArray_Resize \ + (PyArrayObject *, PyArray_Dims *, int, NPY_ORDER NPY_UNUSED(order)); +NPY_NO_EXPORT int PyArray_CopyObject \ + (PyArrayObject *, PyObject *); +NPY_NO_EXPORT PyObject * PyArray_NewCopy \ + (PyArrayObject *, NPY_ORDER); +NPY_NO_EXPORT PyObject * PyArray_ToList \ + (PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_ToString \ + (PyArrayObject *, NPY_ORDER); +NPY_NO_EXPORT int PyArray_ToFile \ + (PyArrayObject *, FILE *, char *, char *); +NPY_NO_EXPORT int PyArray_Dump \ + (PyObject *, PyObject *, int); +NPY_NO_EXPORT PyObject * PyArray_Dumps \ + (PyObject *, int); +NPY_NO_EXPORT int PyArray_ValidType \ + (int); +NPY_NO_EXPORT void PyArray_UpdateFlags \ + (PyArrayObject *, int); +NPY_NO_EXPORT PyObject * PyArray_New \ + (PyTypeObject *, int, npy_intp const *, int, npy_intp const *, void *, int, int, PyObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_NewFromDescr \ + (PyTypeObject *, PyArray_Descr *, int, npy_intp const *, npy_intp const *, void *, int, PyObject *); +NPY_NO_EXPORT PyArray_Descr * PyArray_DescrNew \ + (PyArray_Descr *); +NPY_NO_EXPORT PyArray_Descr * PyArray_DescrNewFromType \ + (int); +NPY_NO_EXPORT double PyArray_GetPriority \ + (PyObject *, double); +NPY_NO_EXPORT PyObject * PyArray_IterNew \ + (PyObject *); +NPY_NO_EXPORT PyObject* PyArray_MultiIterNew \ + (int, ...); +NPY_NO_EXPORT int PyArray_PyIntAsInt \ + (PyObject *); +NPY_NO_EXPORT npy_intp PyArray_PyIntAsIntp \ + (PyObject *); +NPY_NO_EXPORT int PyArray_Broadcast \ + (PyArrayMultiIterObject *); +NPY_NO_EXPORT int PyArray_FillWithScalar \ + (PyArrayObject *, PyObject *); +NPY_NO_EXPORT npy_bool PyArray_CheckStrides \ + (int, int, npy_intp, npy_intp, npy_intp const *, npy_intp const *); +NPY_NO_EXPORT PyArray_Descr * PyArray_DescrNewByteorder \ + (PyArray_Descr *, char); +NPY_NO_EXPORT PyObject * PyArray_IterAllButAxis \ + (PyObject *, int *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_CheckFromAny \ + (PyObject *, PyArray_Descr *, int, int, int, PyObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_FromArray \ + (PyArrayObject *, PyArray_Descr *, int); +NPY_NO_EXPORT PyObject * PyArray_FromInterface \ + (PyObject *); +NPY_NO_EXPORT PyObject * PyArray_FromStructInterface \ + (PyObject *); +NPY_NO_EXPORT PyObject * PyArray_FromArrayAttr \ + (PyObject *, PyArray_Descr *, PyObject *); +NPY_NO_EXPORT NPY_SCALARKIND PyArray_ScalarKind \ + (int, PyArrayObject **); +NPY_NO_EXPORT int PyArray_CanCoerceScalar \ + (int, int, NPY_SCALARKIND); +NPY_NO_EXPORT npy_bool PyArray_CanCastScalar \ + (PyTypeObject *, PyTypeObject *); +NPY_NO_EXPORT int PyArray_RemoveSmallest \ + (PyArrayMultiIterObject *); +NPY_NO_EXPORT int PyArray_ElementStrides \ + (PyObject *); +NPY_NO_EXPORT void PyArray_Item_INCREF \ + (char *, PyArray_Descr *); +NPY_NO_EXPORT void PyArray_Item_XDECREF \ + (char *, PyArray_Descr *); +NPY_NO_EXPORT PyObject * PyArray_Transpose \ + (PyArrayObject *, PyArray_Dims *); +NPY_NO_EXPORT PyObject * PyArray_TakeFrom \ + (PyArrayObject *, PyObject *, int, PyArrayObject *, NPY_CLIPMODE); +NPY_NO_EXPORT PyObject * PyArray_PutTo \ + (PyArrayObject *, PyObject*, PyObject *, NPY_CLIPMODE); +NPY_NO_EXPORT PyObject * PyArray_PutMask \ + (PyArrayObject *, PyObject*, PyObject*); +NPY_NO_EXPORT PyObject * PyArray_Repeat \ + (PyArrayObject *, PyObject *, int); +NPY_NO_EXPORT PyObject * PyArray_Choose \ + (PyArrayObject *, PyObject *, PyArrayObject *, NPY_CLIPMODE); +NPY_NO_EXPORT int PyArray_Sort \ + (PyArrayObject *, int, NPY_SORTKIND); +NPY_NO_EXPORT PyObject * PyArray_ArgSort \ + (PyArrayObject *, int, NPY_SORTKIND); +NPY_NO_EXPORT PyObject * PyArray_SearchSorted \ + (PyArrayObject *, PyObject *, NPY_SEARCHSIDE, PyObject *); +NPY_NO_EXPORT PyObject * PyArray_ArgMax \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_ArgMin \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Reshape \ + (PyArrayObject *, PyObject *); +NPY_NO_EXPORT PyObject * PyArray_Newshape \ + (PyArrayObject *, PyArray_Dims *, NPY_ORDER); +NPY_NO_EXPORT PyObject * PyArray_Squeeze \ + (PyArrayObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) PyObject * PyArray_View \ + (PyArrayObject *, PyArray_Descr *, PyTypeObject *); +NPY_NO_EXPORT PyObject * PyArray_SwapAxes \ + (PyArrayObject *, int, int); +NPY_NO_EXPORT PyObject * PyArray_Max \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Min \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Ptp \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Mean \ + (PyArrayObject *, int, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Trace \ + (PyArrayObject *, int, int, int, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Diagonal \ + (PyArrayObject *, int, int, int); +NPY_NO_EXPORT PyObject * PyArray_Clip \ + (PyArrayObject *, PyObject *, PyObject *, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Conjugate \ + (PyArrayObject *, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Nonzero \ + (PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Std \ + (PyArrayObject *, int, int, PyArrayObject *, int); +NPY_NO_EXPORT PyObject * PyArray_Sum \ + (PyArrayObject *, int, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_CumSum \ + (PyArrayObject *, int, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Prod \ + (PyArrayObject *, int, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_CumProd \ + (PyArrayObject *, int, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_All \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Any \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Compress \ + (PyArrayObject *, PyObject *, int, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyArray_Flatten \ + (PyArrayObject *, NPY_ORDER); +NPY_NO_EXPORT PyObject * PyArray_Ravel \ + (PyArrayObject *, NPY_ORDER); +NPY_NO_EXPORT npy_intp PyArray_MultiplyList \ + (npy_intp const *, int); +NPY_NO_EXPORT int PyArray_MultiplyIntList \ + (int const *, int); +NPY_NO_EXPORT void * PyArray_GetPtr \ + (PyArrayObject *, npy_intp const*); +NPY_NO_EXPORT int PyArray_CompareLists \ + (npy_intp const *, npy_intp const *, int); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(5) int PyArray_AsCArray \ + (PyObject **, void *, npy_intp *, int, PyArray_Descr*); +NPY_NO_EXPORT int PyArray_Free \ + (PyObject *, void *); +NPY_NO_EXPORT int PyArray_Converter \ + (PyObject *, PyObject **); +NPY_NO_EXPORT int PyArray_IntpFromSequence \ + (PyObject *, npy_intp *, int); +NPY_NO_EXPORT PyObject * PyArray_Concatenate \ + (PyObject *, int); +NPY_NO_EXPORT PyObject * PyArray_InnerProduct \ + (PyObject *, PyObject *); +NPY_NO_EXPORT PyObject * PyArray_MatrixProduct \ + (PyObject *, PyObject *); +NPY_NO_EXPORT PyObject * PyArray_Correlate \ + (PyObject *, PyObject *, int); +NPY_NO_EXPORT int PyArray_DescrConverter \ + (PyObject *, PyArray_Descr **); +NPY_NO_EXPORT int PyArray_DescrConverter2 \ + (PyObject *, PyArray_Descr **); +NPY_NO_EXPORT int PyArray_IntpConverter \ + (PyObject *, PyArray_Dims *); +NPY_NO_EXPORT int PyArray_BufferConverter \ + (PyObject *, PyArray_Chunk *); +NPY_NO_EXPORT int PyArray_AxisConverter \ + (PyObject *, int *); +NPY_NO_EXPORT int PyArray_BoolConverter \ + (PyObject *, npy_bool *); +NPY_NO_EXPORT int PyArray_ByteorderConverter \ + (PyObject *, char *); +NPY_NO_EXPORT int PyArray_OrderConverter \ + (PyObject *, NPY_ORDER *); +NPY_NO_EXPORT unsigned char PyArray_EquivTypes \ + (PyArray_Descr *, PyArray_Descr *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(3) PyObject * PyArray_Zeros \ + (int, npy_intp const *, PyArray_Descr *, int); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(3) PyObject * PyArray_Empty \ + (int, npy_intp const *, PyArray_Descr *, int); +NPY_NO_EXPORT PyObject * PyArray_Where \ + (PyObject *, PyObject *, PyObject *); +NPY_NO_EXPORT PyObject * PyArray_Arange \ + (double, double, double, int); +NPY_NO_EXPORT PyObject * PyArray_ArangeObj \ + (PyObject *, PyObject *, PyObject *, PyArray_Descr *); +NPY_NO_EXPORT int PyArray_SortkindConverter \ + (PyObject *, NPY_SORTKIND *); +NPY_NO_EXPORT PyObject * PyArray_LexSort \ + (PyObject *, int); +NPY_NO_EXPORT PyObject * PyArray_Round \ + (PyArrayObject *, int, PyArrayObject *); +NPY_NO_EXPORT unsigned char PyArray_EquivTypenums \ + (int, int); +NPY_NO_EXPORT int PyArray_RegisterDataType \ + (PyArray_DescrProto *); +NPY_NO_EXPORT int PyArray_RegisterCastFunc \ + (PyArray_Descr *, int, PyArray_VectorUnaryFunc *); +NPY_NO_EXPORT int PyArray_RegisterCanCast \ + (PyArray_Descr *, int, NPY_SCALARKIND); +NPY_NO_EXPORT void PyArray_InitArrFuncs \ + (PyArray_ArrFuncs *); +NPY_NO_EXPORT PyObject * PyArray_IntTupleFromIntp \ + (int, npy_intp const *); +NPY_NO_EXPORT int PyArray_ClipmodeConverter \ + (PyObject *, NPY_CLIPMODE *); +NPY_NO_EXPORT int PyArray_OutputConverter \ + (PyObject *, PyArrayObject **); +NPY_NO_EXPORT PyObject * PyArray_BroadcastToShape \ + (PyObject *, npy_intp *, int); +NPY_NO_EXPORT int PyArray_DescrAlignConverter \ + (PyObject *, PyArray_Descr **); +NPY_NO_EXPORT int PyArray_DescrAlignConverter2 \ + (PyObject *, PyArray_Descr **); +NPY_NO_EXPORT int PyArray_SearchsideConverter \ + (PyObject *, void *); +NPY_NO_EXPORT PyObject * PyArray_CheckAxis \ + (PyArrayObject *, int *, int); +NPY_NO_EXPORT npy_intp PyArray_OverflowMultiplyList \ + (npy_intp const *, int); +NPY_NO_EXPORT PyObject* PyArray_MultiIterFromObjects \ + (PyObject **, int, int, ...); +NPY_NO_EXPORT int PyArray_GetEndianness \ + (void); +NPY_NO_EXPORT unsigned int PyArray_GetNDArrayCFeatureVersion \ + (void); +NPY_NO_EXPORT PyObject * PyArray_Correlate2 \ + (PyObject *, PyObject *, int); +NPY_NO_EXPORT PyObject* PyArray_NeighborhoodIterNew \ + (PyArrayIterObject *, const npy_intp *, int, PyArrayObject*); +extern NPY_NO_EXPORT PyTypeObject PyTimeIntegerArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyDatetimeArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyTimedeltaArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject PyHalfArrType_Type; + +extern NPY_NO_EXPORT PyTypeObject NpyIter_Type; + +NPY_NO_EXPORT NpyIter * NpyIter_New \ + (PyArrayObject *, npy_uint32, NPY_ORDER, NPY_CASTING, PyArray_Descr*); +NPY_NO_EXPORT NpyIter * NpyIter_MultiNew \ + (int, PyArrayObject **, npy_uint32, NPY_ORDER, NPY_CASTING, npy_uint32 *, PyArray_Descr **); +NPY_NO_EXPORT NpyIter * NpyIter_AdvancedNew \ + (int, PyArrayObject **, npy_uint32, NPY_ORDER, NPY_CASTING, npy_uint32 *, PyArray_Descr **, int, int **, npy_intp *, npy_intp); +NPY_NO_EXPORT NpyIter * NpyIter_Copy \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_Deallocate \ + (NpyIter *); +NPY_NO_EXPORT npy_bool NpyIter_HasDelayedBufAlloc \ + (NpyIter *); +NPY_NO_EXPORT npy_bool NpyIter_HasExternalLoop \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_EnableExternalLoop \ + (NpyIter *); +NPY_NO_EXPORT npy_intp * NpyIter_GetInnerStrideArray \ + (NpyIter *); +NPY_NO_EXPORT npy_intp * NpyIter_GetInnerLoopSizePtr \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_Reset \ + (NpyIter *, char **); +NPY_NO_EXPORT int NpyIter_ResetBasePointers \ + (NpyIter *, char **, char **); +NPY_NO_EXPORT int NpyIter_ResetToIterIndexRange \ + (NpyIter *, npy_intp, npy_intp, char **); +NPY_NO_EXPORT int NpyIter_GetNDim \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_GetNOp \ + (NpyIter *); +NPY_NO_EXPORT NpyIter_IterNextFunc * NpyIter_GetIterNext \ + (NpyIter *, char **); +NPY_NO_EXPORT npy_intp NpyIter_GetIterSize \ + (NpyIter *); +NPY_NO_EXPORT void NpyIter_GetIterIndexRange \ + (NpyIter *, npy_intp *, npy_intp *); +NPY_NO_EXPORT npy_intp NpyIter_GetIterIndex \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_GotoIterIndex \ + (NpyIter *, npy_intp); +NPY_NO_EXPORT npy_bool NpyIter_HasMultiIndex \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_GetShape \ + (NpyIter *, npy_intp *); +NPY_NO_EXPORT NpyIter_GetMultiIndexFunc * NpyIter_GetGetMultiIndex \ + (NpyIter *, char **); +NPY_NO_EXPORT int NpyIter_GotoMultiIndex \ + (NpyIter *, npy_intp const *); +NPY_NO_EXPORT int NpyIter_RemoveMultiIndex \ + (NpyIter *); +NPY_NO_EXPORT npy_bool NpyIter_HasIndex \ + (NpyIter *); +NPY_NO_EXPORT npy_bool NpyIter_IsBuffered \ + (NpyIter *); +NPY_NO_EXPORT npy_bool NpyIter_IsGrowInner \ + (NpyIter *); +NPY_NO_EXPORT npy_intp NpyIter_GetBufferSize \ + (NpyIter *); +NPY_NO_EXPORT npy_intp * NpyIter_GetIndexPtr \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_GotoIndex \ + (NpyIter *, npy_intp); +NPY_NO_EXPORT char ** NpyIter_GetDataPtrArray \ + (NpyIter *); +NPY_NO_EXPORT PyArray_Descr ** NpyIter_GetDescrArray \ + (NpyIter *); +NPY_NO_EXPORT PyArrayObject ** NpyIter_GetOperandArray \ + (NpyIter *); +NPY_NO_EXPORT PyArrayObject * NpyIter_GetIterView \ + (NpyIter *, npy_intp); +NPY_NO_EXPORT void NpyIter_GetReadFlags \ + (NpyIter *, char *); +NPY_NO_EXPORT void NpyIter_GetWriteFlags \ + (NpyIter *, char *); +NPY_NO_EXPORT void NpyIter_DebugPrint \ + (NpyIter *); +NPY_NO_EXPORT npy_bool NpyIter_IterationNeedsAPI \ + (NpyIter *); +NPY_NO_EXPORT void NpyIter_GetInnerFixedStrideArray \ + (NpyIter *, npy_intp *); +NPY_NO_EXPORT int NpyIter_RemoveAxis \ + (NpyIter *, int); +NPY_NO_EXPORT npy_intp * NpyIter_GetAxisStrideArray \ + (NpyIter *, int); +NPY_NO_EXPORT npy_bool NpyIter_RequiresBuffering \ + (NpyIter *); +NPY_NO_EXPORT char ** NpyIter_GetInitialDataPtrArray \ + (NpyIter *); +NPY_NO_EXPORT int NpyIter_CreateCompatibleStrides \ + (NpyIter *, npy_intp, npy_intp *); +NPY_NO_EXPORT int PyArray_CastingConverter \ + (PyObject *, NPY_CASTING *); +NPY_NO_EXPORT npy_intp PyArray_CountNonzero \ + (PyArrayObject *); +NPY_NO_EXPORT PyArray_Descr * PyArray_PromoteTypes \ + (PyArray_Descr *, PyArray_Descr *); +NPY_NO_EXPORT PyArray_Descr * PyArray_MinScalarType \ + (PyArrayObject *); +NPY_NO_EXPORT PyArray_Descr * PyArray_ResultType \ + (npy_intp, PyArrayObject *arrs[], npy_intp, PyArray_Descr *descrs[]); +NPY_NO_EXPORT npy_bool PyArray_CanCastArrayTo \ + (PyArrayObject *, PyArray_Descr *, NPY_CASTING); +NPY_NO_EXPORT npy_bool PyArray_CanCastTypeTo \ + (PyArray_Descr *, PyArray_Descr *, NPY_CASTING); +NPY_NO_EXPORT PyArrayObject * PyArray_EinsteinSum \ + (char *, npy_intp, PyArrayObject **, PyArray_Descr *, NPY_ORDER, NPY_CASTING, PyArrayObject *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(3) PyObject * PyArray_NewLikeArray \ + (PyArrayObject *, NPY_ORDER, PyArray_Descr *, int); +NPY_NO_EXPORT int PyArray_ConvertClipmodeSequence \ + (PyObject *, NPY_CLIPMODE *, int); +NPY_NO_EXPORT PyObject * PyArray_MatrixProduct2 \ + (PyObject *, PyObject *, PyArrayObject*); +NPY_NO_EXPORT npy_bool NpyIter_IsFirstVisit \ + (NpyIter *, int); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) int PyArray_SetBaseObject \ + (PyArrayObject *, PyObject *); +NPY_NO_EXPORT void PyArray_CreateSortedStridePerm \ + (int, npy_intp const *, npy_stride_sort_item *); +NPY_NO_EXPORT void PyArray_RemoveAxesInPlace \ + (PyArrayObject *, const npy_bool *); +NPY_NO_EXPORT void PyArray_DebugPrint \ + (PyArrayObject *); +NPY_NO_EXPORT int PyArray_FailUnlessWriteable \ + (PyArrayObject *, const char *); +NPY_NO_EXPORT NPY_STEALS_REF_TO_ARG(2) int PyArray_SetUpdateIfCopyBase \ + (PyArrayObject *, PyArrayObject *); +NPY_NO_EXPORT void * PyDataMem_NEW \ + (size_t); +NPY_NO_EXPORT void PyDataMem_FREE \ + (void *); +NPY_NO_EXPORT void * PyDataMem_RENEW \ + (void *, size_t); +extern NPY_NO_EXPORT NPY_CASTING NPY_DEFAULT_ASSIGN_CASTING; + +NPY_NO_EXPORT int PyArray_Partition \ + (PyArrayObject *, PyArrayObject *, int, NPY_SELECTKIND); +NPY_NO_EXPORT PyObject * PyArray_ArgPartition \ + (PyArrayObject *, PyArrayObject *, int, NPY_SELECTKIND); +NPY_NO_EXPORT int PyArray_SelectkindConverter \ + (PyObject *, NPY_SELECTKIND *); +NPY_NO_EXPORT void * PyDataMem_NEW_ZEROED \ + (size_t, size_t); +NPY_NO_EXPORT int PyArray_CheckAnyScalarExact \ + (PyObject *); +NPY_NO_EXPORT int PyArray_ResolveWritebackIfCopy \ + (PyArrayObject *); +NPY_NO_EXPORT int PyArray_SetWritebackIfCopyBase \ + (PyArrayObject *, PyArrayObject *); +NPY_NO_EXPORT PyObject * PyDataMem_SetHandler \ + (PyObject *); +NPY_NO_EXPORT PyObject * PyDataMem_GetHandler \ + (void); +extern NPY_NO_EXPORT PyObject* PyDataMem_DefaultHandler; + +NPY_NO_EXPORT int NpyDatetime_ConvertDatetime64ToDatetimeStruct \ + (PyArray_DatetimeMetaData *, npy_datetime, npy_datetimestruct *); +NPY_NO_EXPORT int NpyDatetime_ConvertDatetimeStructToDatetime64 \ + (PyArray_DatetimeMetaData *, const npy_datetimestruct *, npy_datetime *); +NPY_NO_EXPORT int NpyDatetime_ConvertPyDateTimeToDatetimeStruct \ + (PyObject *, npy_datetimestruct *, NPY_DATETIMEUNIT *, int); +NPY_NO_EXPORT int NpyDatetime_GetDatetimeISO8601StrLen \ + (int, NPY_DATETIMEUNIT); +NPY_NO_EXPORT int NpyDatetime_MakeISO8601Datetime \ + (npy_datetimestruct *, char *, npy_intp, int, int, NPY_DATETIMEUNIT, int, NPY_CASTING); +NPY_NO_EXPORT int NpyDatetime_ParseISO8601Datetime \ + (char const *, Py_ssize_t, NPY_DATETIMEUNIT, NPY_CASTING, npy_datetimestruct *, NPY_DATETIMEUNIT *, npy_bool *); +NPY_NO_EXPORT int NpyString_load \ + (npy_string_allocator *, const npy_packed_static_string *, npy_static_string *); +NPY_NO_EXPORT int NpyString_pack \ + (npy_string_allocator *, npy_packed_static_string *, const char *, size_t); +NPY_NO_EXPORT int NpyString_pack_null \ + (npy_string_allocator *, npy_packed_static_string *); +NPY_NO_EXPORT npy_string_allocator * NpyString_acquire_allocator \ + (const PyArray_StringDTypeObject *); +NPY_NO_EXPORT void NpyString_acquire_allocators \ + (size_t, PyArray_Descr *const descrs[], npy_string_allocator *allocators[]); +NPY_NO_EXPORT void NpyString_release_allocator \ + (npy_string_allocator *); +NPY_NO_EXPORT void NpyString_release_allocators \ + (size_t, npy_string_allocator *allocators[]); +NPY_NO_EXPORT PyArray_Descr * PyArray_GetDefaultDescr \ + (PyArray_DTypeMeta *); +NPY_NO_EXPORT int PyArrayInitDTypeMeta_FromSpec \ + (PyArray_DTypeMeta *, PyArrayDTypeMeta_Spec *); +NPY_NO_EXPORT PyArray_DTypeMeta * PyArray_CommonDType \ + (PyArray_DTypeMeta *, PyArray_DTypeMeta *); +NPY_NO_EXPORT PyArray_DTypeMeta * PyArray_PromoteDTypeSequence \ + (npy_intp, PyArray_DTypeMeta **); +NPY_NO_EXPORT PyArray_ArrFuncs * _PyDataType_GetArrFuncs \ + (const PyArray_Descr *); + +#else + +#if defined(PY_ARRAY_UNIQUE_SYMBOL) + #define PyArray_API PY_ARRAY_UNIQUE_SYMBOL + #define _NPY_VERSION_CONCAT_HELPER2(x, y) x ## y + #define _NPY_VERSION_CONCAT_HELPER(arg) \ + _NPY_VERSION_CONCAT_HELPER2(arg, PyArray_RUNTIME_VERSION) + #define PyArray_RUNTIME_VERSION \ + _NPY_VERSION_CONCAT_HELPER(PY_ARRAY_UNIQUE_SYMBOL) +#endif + +/* By default do not export API in an .so (was never the case on windows) */ +#ifndef NPY_API_SYMBOL_ATTRIBUTE + #define NPY_API_SYMBOL_ATTRIBUTE NPY_VISIBILITY_HIDDEN +#endif + +#if defined(NO_IMPORT) || defined(NO_IMPORT_ARRAY) +extern NPY_API_SYMBOL_ATTRIBUTE void **PyArray_API; +extern NPY_API_SYMBOL_ATTRIBUTE int PyArray_RUNTIME_VERSION; +#else +#if defined(PY_ARRAY_UNIQUE_SYMBOL) +NPY_API_SYMBOL_ATTRIBUTE void **PyArray_API; +NPY_API_SYMBOL_ATTRIBUTE int PyArray_RUNTIME_VERSION; +#else +static void **PyArray_API = NULL; +static int PyArray_RUNTIME_VERSION = 0; +#endif +#endif + +#define PyArray_GetNDArrayCVersion \ + (*(unsigned int (*)(void)) \ + PyArray_API[0]) +#define PyArray_Type (*(PyTypeObject *)PyArray_API[2]) +#define PyArrayDescr_Type (*(PyTypeObject *)PyArray_API[3]) +#define PyArrayIter_Type (*(PyTypeObject *)PyArray_API[5]) +#define PyArrayMultiIter_Type (*(PyTypeObject *)PyArray_API[6]) +#define NPY_NUMUSERTYPES (*(int *)PyArray_API[7]) +#define PyBoolArrType_Type (*(PyTypeObject *)PyArray_API[8]) +#define _PyArrayScalar_BoolValues ((PyBoolScalarObject *)PyArray_API[9]) +#define PyGenericArrType_Type (*(PyTypeObject *)PyArray_API[10]) +#define PyNumberArrType_Type (*(PyTypeObject *)PyArray_API[11]) +#define PyIntegerArrType_Type (*(PyTypeObject *)PyArray_API[12]) +#define PySignedIntegerArrType_Type (*(PyTypeObject *)PyArray_API[13]) +#define PyUnsignedIntegerArrType_Type (*(PyTypeObject *)PyArray_API[14]) +#define PyInexactArrType_Type (*(PyTypeObject *)PyArray_API[15]) +#define PyFloatingArrType_Type (*(PyTypeObject *)PyArray_API[16]) +#define PyComplexFloatingArrType_Type (*(PyTypeObject *)PyArray_API[17]) +#define PyFlexibleArrType_Type (*(PyTypeObject *)PyArray_API[18]) +#define PyCharacterArrType_Type (*(PyTypeObject *)PyArray_API[19]) +#define PyByteArrType_Type (*(PyTypeObject *)PyArray_API[20]) +#define PyShortArrType_Type (*(PyTypeObject *)PyArray_API[21]) +#define PyIntArrType_Type (*(PyTypeObject *)PyArray_API[22]) +#define PyLongArrType_Type (*(PyTypeObject *)PyArray_API[23]) +#define PyLongLongArrType_Type (*(PyTypeObject *)PyArray_API[24]) +#define PyUByteArrType_Type (*(PyTypeObject *)PyArray_API[25]) +#define PyUShortArrType_Type (*(PyTypeObject *)PyArray_API[26]) +#define PyUIntArrType_Type (*(PyTypeObject *)PyArray_API[27]) +#define PyULongArrType_Type (*(PyTypeObject *)PyArray_API[28]) +#define PyULongLongArrType_Type (*(PyTypeObject *)PyArray_API[29]) +#define PyFloatArrType_Type (*(PyTypeObject *)PyArray_API[30]) +#define PyDoubleArrType_Type (*(PyTypeObject *)PyArray_API[31]) +#define PyLongDoubleArrType_Type (*(PyTypeObject *)PyArray_API[32]) +#define PyCFloatArrType_Type (*(PyTypeObject *)PyArray_API[33]) +#define PyCDoubleArrType_Type (*(PyTypeObject *)PyArray_API[34]) +#define PyCLongDoubleArrType_Type (*(PyTypeObject *)PyArray_API[35]) +#define PyObjectArrType_Type (*(PyTypeObject *)PyArray_API[36]) +#define PyStringArrType_Type (*(PyTypeObject *)PyArray_API[37]) +#define PyUnicodeArrType_Type (*(PyTypeObject *)PyArray_API[38]) +#define PyVoidArrType_Type (*(PyTypeObject *)PyArray_API[39]) +#define PyArray_INCREF \ + (*(int (*)(PyArrayObject *)) \ + PyArray_API[42]) +#define PyArray_XDECREF \ + (*(int (*)(PyArrayObject *)) \ + PyArray_API[43]) +#define PyArray_SetStringFunction \ + (*(void (*)(PyObject *, int)) \ + PyArray_API[44]) +#define PyArray_DescrFromType \ + (*(PyArray_Descr * (*)(int)) \ + PyArray_API[45]) +#define PyArray_TypeObjectFromType \ + (*(PyObject * (*)(int)) \ + PyArray_API[46]) +#define PyArray_Zero \ + (*(char * (*)(PyArrayObject *)) \ + PyArray_API[47]) +#define PyArray_One \ + (*(char * (*)(PyArrayObject *)) \ + PyArray_API[48]) +#define PyArray_CastToType \ + (*(PyObject * (*)(PyArrayObject *, PyArray_Descr *, int)) \ + PyArray_API[49]) +#define PyArray_CopyInto \ + (*(int (*)(PyArrayObject *, PyArrayObject *)) \ + PyArray_API[50]) +#define PyArray_CopyAnyInto \ + (*(int (*)(PyArrayObject *, PyArrayObject *)) \ + PyArray_API[51]) +#define PyArray_CanCastSafely \ + (*(int (*)(int, int)) \ + PyArray_API[52]) +#define PyArray_CanCastTo \ + (*(npy_bool (*)(PyArray_Descr *, PyArray_Descr *)) \ + PyArray_API[53]) +#define PyArray_ObjectType \ + (*(int (*)(PyObject *, int)) \ + PyArray_API[54]) +#define PyArray_DescrFromObject \ + (*(PyArray_Descr * (*)(PyObject *, PyArray_Descr *)) \ + PyArray_API[55]) +#define PyArray_ConvertToCommonType \ + (*(PyArrayObject ** (*)(PyObject *, int *)) \ + PyArray_API[56]) +#define PyArray_DescrFromScalar \ + (*(PyArray_Descr * (*)(PyObject *)) \ + PyArray_API[57]) +#define PyArray_DescrFromTypeObject \ + (*(PyArray_Descr * (*)(PyObject *)) \ + PyArray_API[58]) +#define PyArray_Size \ + (*(npy_intp (*)(PyObject *)) \ + PyArray_API[59]) +#define PyArray_Scalar \ + (*(PyObject * (*)(void *, PyArray_Descr *, PyObject *)) \ + PyArray_API[60]) +#define PyArray_FromScalar \ + (*(PyObject * (*)(PyObject *, PyArray_Descr *)) \ + PyArray_API[61]) +#define PyArray_ScalarAsCtype \ + (*(void (*)(PyObject *, void *)) \ + PyArray_API[62]) +#define PyArray_CastScalarToCtype \ + (*(int (*)(PyObject *, void *, PyArray_Descr *)) \ + PyArray_API[63]) +#define PyArray_CastScalarDirect \ + (*(int (*)(PyObject *, PyArray_Descr *, void *, int)) \ + PyArray_API[64]) + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyArray_Pack \ + (*(int (*)(PyArray_Descr *, void *, PyObject *)) \ + PyArray_API[65]) +#endif +#define PyArray_FromAny \ + (*(PyObject * (*)(PyObject *, PyArray_Descr *, int, int, int, PyObject *)) \ + PyArray_API[69]) +#define PyArray_EnsureArray \ + (*(PyObject * (*)(PyObject *)) \ + PyArray_API[70]) +#define PyArray_EnsureAnyArray \ + (*(PyObject * (*)(PyObject *)) \ + PyArray_API[71]) +#define PyArray_FromFile \ + (*(PyObject * (*)(FILE *, PyArray_Descr *, npy_intp, char *)) \ + PyArray_API[72]) +#define PyArray_FromString \ + (*(PyObject * (*)(char *, npy_intp, PyArray_Descr *, npy_intp, char *)) \ + PyArray_API[73]) +#define PyArray_FromBuffer \ + (*(PyObject * (*)(PyObject *, PyArray_Descr *, npy_intp, npy_intp)) \ + PyArray_API[74]) +#define PyArray_FromIter \ + (*(PyObject * (*)(PyObject *, PyArray_Descr *, npy_intp)) \ + PyArray_API[75]) +#define PyArray_Return \ + (*(PyObject * (*)(PyArrayObject *)) \ + PyArray_API[76]) +#define PyArray_GetField \ + (*(PyObject * (*)(PyArrayObject *, PyArray_Descr *, int)) \ + PyArray_API[77]) +#define PyArray_SetField \ + (*(int (*)(PyArrayObject *, PyArray_Descr *, int, PyObject *)) \ + PyArray_API[78]) +#define PyArray_Byteswap \ + (*(PyObject * (*)(PyArrayObject *, npy_bool)) \ + PyArray_API[79]) +#define PyArray_Resize \ + (*(PyObject * (*)(PyArrayObject *, PyArray_Dims *, int, NPY_ORDER NPY_UNUSED(order))) \ + PyArray_API[80]) +#define PyArray_CopyObject \ + (*(int (*)(PyArrayObject *, PyObject *)) \ + PyArray_API[84]) +#define PyArray_NewCopy \ + (*(PyObject * (*)(PyArrayObject *, NPY_ORDER)) \ + PyArray_API[85]) +#define PyArray_ToList \ + (*(PyObject * (*)(PyArrayObject *)) \ + PyArray_API[86]) +#define PyArray_ToString \ + (*(PyObject * (*)(PyArrayObject *, NPY_ORDER)) \ + PyArray_API[87]) +#define PyArray_ToFile \ + (*(int (*)(PyArrayObject *, FILE *, char *, char *)) \ + PyArray_API[88]) +#define PyArray_Dump \ + (*(int (*)(PyObject *, PyObject *, int)) \ + PyArray_API[89]) +#define PyArray_Dumps \ + (*(PyObject * (*)(PyObject *, int)) \ + PyArray_API[90]) +#define PyArray_ValidType \ + (*(int (*)(int)) \ + PyArray_API[91]) +#define PyArray_UpdateFlags \ + (*(void (*)(PyArrayObject *, int)) \ + PyArray_API[92]) +#define PyArray_New \ + (*(PyObject * (*)(PyTypeObject *, int, npy_intp const *, int, npy_intp const *, void *, int, int, PyObject *)) \ + PyArray_API[93]) +#define PyArray_NewFromDescr \ + (*(PyObject * (*)(PyTypeObject *, PyArray_Descr *, int, npy_intp const *, npy_intp const *, void *, int, PyObject *)) \ + PyArray_API[94]) +#define PyArray_DescrNew \ + (*(PyArray_Descr * (*)(PyArray_Descr *)) \ + PyArray_API[95]) +#define PyArray_DescrNewFromType \ + (*(PyArray_Descr * (*)(int)) \ + PyArray_API[96]) +#define PyArray_GetPriority \ + (*(double (*)(PyObject *, double)) \ + PyArray_API[97]) +#define PyArray_IterNew \ + (*(PyObject * (*)(PyObject *)) \ + PyArray_API[98]) +#define PyArray_MultiIterNew \ + (*(PyObject* (*)(int, ...)) \ + PyArray_API[99]) +#define PyArray_PyIntAsInt \ + (*(int (*)(PyObject *)) \ + PyArray_API[100]) +#define PyArray_PyIntAsIntp \ + (*(npy_intp (*)(PyObject *)) \ + PyArray_API[101]) +#define PyArray_Broadcast \ + (*(int (*)(PyArrayMultiIterObject *)) \ + PyArray_API[102]) +#define PyArray_FillWithScalar \ + (*(int (*)(PyArrayObject *, PyObject *)) \ + PyArray_API[104]) +#define PyArray_CheckStrides \ + (*(npy_bool (*)(int, int, npy_intp, npy_intp, npy_intp const *, npy_intp const *)) \ + PyArray_API[105]) +#define PyArray_DescrNewByteorder \ + (*(PyArray_Descr * (*)(PyArray_Descr *, char)) \ + PyArray_API[106]) +#define PyArray_IterAllButAxis \ + (*(PyObject * (*)(PyObject *, int *)) \ + PyArray_API[107]) +#define PyArray_CheckFromAny \ + (*(PyObject * (*)(PyObject *, PyArray_Descr *, int, int, int, PyObject *)) \ + PyArray_API[108]) +#define PyArray_FromArray \ + (*(PyObject * (*)(PyArrayObject *, PyArray_Descr *, int)) \ + PyArray_API[109]) +#define PyArray_FromInterface \ + (*(PyObject * (*)(PyObject *)) \ + PyArray_API[110]) +#define PyArray_FromStructInterface \ + (*(PyObject * (*)(PyObject *)) \ + PyArray_API[111]) +#define PyArray_FromArrayAttr \ + (*(PyObject * (*)(PyObject *, PyArray_Descr *, PyObject *)) \ + PyArray_API[112]) +#define PyArray_ScalarKind \ + (*(NPY_SCALARKIND (*)(int, PyArrayObject **)) \ + PyArray_API[113]) +#define PyArray_CanCoerceScalar \ + (*(int (*)(int, int, NPY_SCALARKIND)) \ + PyArray_API[114]) +#define PyArray_CanCastScalar \ + (*(npy_bool (*)(PyTypeObject *, PyTypeObject *)) \ + PyArray_API[116]) +#define PyArray_RemoveSmallest \ + (*(int (*)(PyArrayMultiIterObject *)) \ + PyArray_API[118]) +#define PyArray_ElementStrides \ + (*(int (*)(PyObject *)) \ + PyArray_API[119]) +#define PyArray_Item_INCREF \ + (*(void (*)(char *, PyArray_Descr *)) \ + PyArray_API[120]) +#define PyArray_Item_XDECREF \ + (*(void (*)(char *, PyArray_Descr *)) \ + PyArray_API[121]) +#define PyArray_Transpose \ + (*(PyObject * (*)(PyArrayObject *, PyArray_Dims *)) \ + PyArray_API[123]) +#define PyArray_TakeFrom \ + (*(PyObject * (*)(PyArrayObject *, PyObject *, int, PyArrayObject *, NPY_CLIPMODE)) \ + PyArray_API[124]) +#define PyArray_PutTo \ + (*(PyObject * (*)(PyArrayObject *, PyObject*, PyObject *, NPY_CLIPMODE)) \ + PyArray_API[125]) +#define PyArray_PutMask \ + (*(PyObject * (*)(PyArrayObject *, PyObject*, PyObject*)) \ + PyArray_API[126]) +#define PyArray_Repeat \ + (*(PyObject * (*)(PyArrayObject *, PyObject *, int)) \ + PyArray_API[127]) +#define PyArray_Choose \ + (*(PyObject * (*)(PyArrayObject *, PyObject *, PyArrayObject *, NPY_CLIPMODE)) \ + PyArray_API[128]) +#define PyArray_Sort \ + (*(int (*)(PyArrayObject *, int, NPY_SORTKIND)) \ + PyArray_API[129]) +#define PyArray_ArgSort \ + (*(PyObject * (*)(PyArrayObject *, int, NPY_SORTKIND)) \ + PyArray_API[130]) +#define PyArray_SearchSorted \ + (*(PyObject * (*)(PyArrayObject *, PyObject *, NPY_SEARCHSIDE, PyObject *)) \ + PyArray_API[131]) +#define PyArray_ArgMax \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[132]) +#define PyArray_ArgMin \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[133]) +#define PyArray_Reshape \ + (*(PyObject * (*)(PyArrayObject *, PyObject *)) \ + PyArray_API[134]) +#define PyArray_Newshape \ + (*(PyObject * (*)(PyArrayObject *, PyArray_Dims *, NPY_ORDER)) \ + PyArray_API[135]) +#define PyArray_Squeeze \ + (*(PyObject * (*)(PyArrayObject *)) \ + PyArray_API[136]) +#define PyArray_View \ + (*(PyObject * (*)(PyArrayObject *, PyArray_Descr *, PyTypeObject *)) \ + PyArray_API[137]) +#define PyArray_SwapAxes \ + (*(PyObject * (*)(PyArrayObject *, int, int)) \ + PyArray_API[138]) +#define PyArray_Max \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[139]) +#define PyArray_Min \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[140]) +#define PyArray_Ptp \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[141]) +#define PyArray_Mean \ + (*(PyObject * (*)(PyArrayObject *, int, int, PyArrayObject *)) \ + PyArray_API[142]) +#define PyArray_Trace \ + (*(PyObject * (*)(PyArrayObject *, int, int, int, int, PyArrayObject *)) \ + PyArray_API[143]) +#define PyArray_Diagonal \ + (*(PyObject * (*)(PyArrayObject *, int, int, int)) \ + PyArray_API[144]) +#define PyArray_Clip \ + (*(PyObject * (*)(PyArrayObject *, PyObject *, PyObject *, PyArrayObject *)) \ + PyArray_API[145]) +#define PyArray_Conjugate \ + (*(PyObject * (*)(PyArrayObject *, PyArrayObject *)) \ + PyArray_API[146]) +#define PyArray_Nonzero \ + (*(PyObject * (*)(PyArrayObject *)) \ + PyArray_API[147]) +#define PyArray_Std \ + (*(PyObject * (*)(PyArrayObject *, int, int, PyArrayObject *, int)) \ + PyArray_API[148]) +#define PyArray_Sum \ + (*(PyObject * (*)(PyArrayObject *, int, int, PyArrayObject *)) \ + PyArray_API[149]) +#define PyArray_CumSum \ + (*(PyObject * (*)(PyArrayObject *, int, int, PyArrayObject *)) \ + PyArray_API[150]) +#define PyArray_Prod \ + (*(PyObject * (*)(PyArrayObject *, int, int, PyArrayObject *)) \ + PyArray_API[151]) +#define PyArray_CumProd \ + (*(PyObject * (*)(PyArrayObject *, int, int, PyArrayObject *)) \ + PyArray_API[152]) +#define PyArray_All \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[153]) +#define PyArray_Any \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[154]) +#define PyArray_Compress \ + (*(PyObject * (*)(PyArrayObject *, PyObject *, int, PyArrayObject *)) \ + PyArray_API[155]) +#define PyArray_Flatten \ + (*(PyObject * (*)(PyArrayObject *, NPY_ORDER)) \ + PyArray_API[156]) +#define PyArray_Ravel \ + (*(PyObject * (*)(PyArrayObject *, NPY_ORDER)) \ + PyArray_API[157]) +#define PyArray_MultiplyList \ + (*(npy_intp (*)(npy_intp const *, int)) \ + PyArray_API[158]) +#define PyArray_MultiplyIntList \ + (*(int (*)(int const *, int)) \ + PyArray_API[159]) +#define PyArray_GetPtr \ + (*(void * (*)(PyArrayObject *, npy_intp const*)) \ + PyArray_API[160]) +#define PyArray_CompareLists \ + (*(int (*)(npy_intp const *, npy_intp const *, int)) \ + PyArray_API[161]) +#define PyArray_AsCArray \ + (*(int (*)(PyObject **, void *, npy_intp *, int, PyArray_Descr*)) \ + PyArray_API[162]) +#define PyArray_Free \ + (*(int (*)(PyObject *, void *)) \ + PyArray_API[165]) +#define PyArray_Converter \ + (*(int (*)(PyObject *, PyObject **)) \ + PyArray_API[166]) +#define PyArray_IntpFromSequence \ + (*(int (*)(PyObject *, npy_intp *, int)) \ + PyArray_API[167]) +#define PyArray_Concatenate \ + (*(PyObject * (*)(PyObject *, int)) \ + PyArray_API[168]) +#define PyArray_InnerProduct \ + (*(PyObject * (*)(PyObject *, PyObject *)) \ + PyArray_API[169]) +#define PyArray_MatrixProduct \ + (*(PyObject * (*)(PyObject *, PyObject *)) \ + PyArray_API[170]) +#define PyArray_Correlate \ + (*(PyObject * (*)(PyObject *, PyObject *, int)) \ + PyArray_API[172]) +#define PyArray_DescrConverter \ + (*(int (*)(PyObject *, PyArray_Descr **)) \ + PyArray_API[174]) +#define PyArray_DescrConverter2 \ + (*(int (*)(PyObject *, PyArray_Descr **)) \ + PyArray_API[175]) +#define PyArray_IntpConverter \ + (*(int (*)(PyObject *, PyArray_Dims *)) \ + PyArray_API[176]) +#define PyArray_BufferConverter \ + (*(int (*)(PyObject *, PyArray_Chunk *)) \ + PyArray_API[177]) +#define PyArray_AxisConverter \ + (*(int (*)(PyObject *, int *)) \ + PyArray_API[178]) +#define PyArray_BoolConverter \ + (*(int (*)(PyObject *, npy_bool *)) \ + PyArray_API[179]) +#define PyArray_ByteorderConverter \ + (*(int (*)(PyObject *, char *)) \ + PyArray_API[180]) +#define PyArray_OrderConverter \ + (*(int (*)(PyObject *, NPY_ORDER *)) \ + PyArray_API[181]) +#define PyArray_EquivTypes \ + (*(unsigned char (*)(PyArray_Descr *, PyArray_Descr *)) \ + PyArray_API[182]) +#define PyArray_Zeros \ + (*(PyObject * (*)(int, npy_intp const *, PyArray_Descr *, int)) \ + PyArray_API[183]) +#define PyArray_Empty \ + (*(PyObject * (*)(int, npy_intp const *, PyArray_Descr *, int)) \ + PyArray_API[184]) +#define PyArray_Where \ + (*(PyObject * (*)(PyObject *, PyObject *, PyObject *)) \ + PyArray_API[185]) +#define PyArray_Arange \ + (*(PyObject * (*)(double, double, double, int)) \ + PyArray_API[186]) +#define PyArray_ArangeObj \ + (*(PyObject * (*)(PyObject *, PyObject *, PyObject *, PyArray_Descr *)) \ + PyArray_API[187]) +#define PyArray_SortkindConverter \ + (*(int (*)(PyObject *, NPY_SORTKIND *)) \ + PyArray_API[188]) +#define PyArray_LexSort \ + (*(PyObject * (*)(PyObject *, int)) \ + PyArray_API[189]) +#define PyArray_Round \ + (*(PyObject * (*)(PyArrayObject *, int, PyArrayObject *)) \ + PyArray_API[190]) +#define PyArray_EquivTypenums \ + (*(unsigned char (*)(int, int)) \ + PyArray_API[191]) +#define PyArray_RegisterDataType \ + (*(int (*)(PyArray_DescrProto *)) \ + PyArray_API[192]) +#define PyArray_RegisterCastFunc \ + (*(int (*)(PyArray_Descr *, int, PyArray_VectorUnaryFunc *)) \ + PyArray_API[193]) +#define PyArray_RegisterCanCast \ + (*(int (*)(PyArray_Descr *, int, NPY_SCALARKIND)) \ + PyArray_API[194]) +#define PyArray_InitArrFuncs \ + (*(void (*)(PyArray_ArrFuncs *)) \ + PyArray_API[195]) +#define PyArray_IntTupleFromIntp \ + (*(PyObject * (*)(int, npy_intp const *)) \ + PyArray_API[196]) +#define PyArray_ClipmodeConverter \ + (*(int (*)(PyObject *, NPY_CLIPMODE *)) \ + PyArray_API[198]) +#define PyArray_OutputConverter \ + (*(int (*)(PyObject *, PyArrayObject **)) \ + PyArray_API[199]) +#define PyArray_BroadcastToShape \ + (*(PyObject * (*)(PyObject *, npy_intp *, int)) \ + PyArray_API[200]) +#define PyArray_DescrAlignConverter \ + (*(int (*)(PyObject *, PyArray_Descr **)) \ + PyArray_API[203]) +#define PyArray_DescrAlignConverter2 \ + (*(int (*)(PyObject *, PyArray_Descr **)) \ + PyArray_API[204]) +#define PyArray_SearchsideConverter \ + (*(int (*)(PyObject *, void *)) \ + PyArray_API[205]) +#define PyArray_CheckAxis \ + (*(PyObject * (*)(PyArrayObject *, int *, int)) \ + PyArray_API[206]) +#define PyArray_OverflowMultiplyList \ + (*(npy_intp (*)(npy_intp const *, int)) \ + PyArray_API[207]) +#define PyArray_MultiIterFromObjects \ + (*(PyObject* (*)(PyObject **, int, int, ...)) \ + PyArray_API[209]) +#define PyArray_GetEndianness \ + (*(int (*)(void)) \ + PyArray_API[210]) +#define PyArray_GetNDArrayCFeatureVersion \ + (*(unsigned int (*)(void)) \ + PyArray_API[211]) +#define PyArray_Correlate2 \ + (*(PyObject * (*)(PyObject *, PyObject *, int)) \ + PyArray_API[212]) +#define PyArray_NeighborhoodIterNew \ + (*(PyObject* (*)(PyArrayIterObject *, const npy_intp *, int, PyArrayObject*)) \ + PyArray_API[213]) +#define PyTimeIntegerArrType_Type (*(PyTypeObject *)PyArray_API[214]) +#define PyDatetimeArrType_Type (*(PyTypeObject *)PyArray_API[215]) +#define PyTimedeltaArrType_Type (*(PyTypeObject *)PyArray_API[216]) +#define PyHalfArrType_Type (*(PyTypeObject *)PyArray_API[217]) +#define NpyIter_Type (*(PyTypeObject *)PyArray_API[218]) +#define NpyIter_New \ + (*(NpyIter * (*)(PyArrayObject *, npy_uint32, NPY_ORDER, NPY_CASTING, PyArray_Descr*)) \ + PyArray_API[224]) +#define NpyIter_MultiNew \ + (*(NpyIter * (*)(int, PyArrayObject **, npy_uint32, NPY_ORDER, NPY_CASTING, npy_uint32 *, PyArray_Descr **)) \ + PyArray_API[225]) +#define NpyIter_AdvancedNew \ + (*(NpyIter * (*)(int, PyArrayObject **, npy_uint32, NPY_ORDER, NPY_CASTING, npy_uint32 *, PyArray_Descr **, int, int **, npy_intp *, npy_intp)) \ + PyArray_API[226]) +#define NpyIter_Copy \ + (*(NpyIter * (*)(NpyIter *)) \ + PyArray_API[227]) +#define NpyIter_Deallocate \ + (*(int (*)(NpyIter *)) \ + PyArray_API[228]) +#define NpyIter_HasDelayedBufAlloc \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[229]) +#define NpyIter_HasExternalLoop \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[230]) +#define NpyIter_EnableExternalLoop \ + (*(int (*)(NpyIter *)) \ + PyArray_API[231]) +#define NpyIter_GetInnerStrideArray \ + (*(npy_intp * (*)(NpyIter *)) \ + PyArray_API[232]) +#define NpyIter_GetInnerLoopSizePtr \ + (*(npy_intp * (*)(NpyIter *)) \ + PyArray_API[233]) +#define NpyIter_Reset \ + (*(int (*)(NpyIter *, char **)) \ + PyArray_API[234]) +#define NpyIter_ResetBasePointers \ + (*(int (*)(NpyIter *, char **, char **)) \ + PyArray_API[235]) +#define NpyIter_ResetToIterIndexRange \ + (*(int (*)(NpyIter *, npy_intp, npy_intp, char **)) \ + PyArray_API[236]) +#define NpyIter_GetNDim \ + (*(int (*)(NpyIter *)) \ + PyArray_API[237]) +#define NpyIter_GetNOp \ + (*(int (*)(NpyIter *)) \ + PyArray_API[238]) +#define NpyIter_GetIterNext \ + (*(NpyIter_IterNextFunc * (*)(NpyIter *, char **)) \ + PyArray_API[239]) +#define NpyIter_GetIterSize \ + (*(npy_intp (*)(NpyIter *)) \ + PyArray_API[240]) +#define NpyIter_GetIterIndexRange \ + (*(void (*)(NpyIter *, npy_intp *, npy_intp *)) \ + PyArray_API[241]) +#define NpyIter_GetIterIndex \ + (*(npy_intp (*)(NpyIter *)) \ + PyArray_API[242]) +#define NpyIter_GotoIterIndex \ + (*(int (*)(NpyIter *, npy_intp)) \ + PyArray_API[243]) +#define NpyIter_HasMultiIndex \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[244]) +#define NpyIter_GetShape \ + (*(int (*)(NpyIter *, npy_intp *)) \ + PyArray_API[245]) +#define NpyIter_GetGetMultiIndex \ + (*(NpyIter_GetMultiIndexFunc * (*)(NpyIter *, char **)) \ + PyArray_API[246]) +#define NpyIter_GotoMultiIndex \ + (*(int (*)(NpyIter *, npy_intp const *)) \ + PyArray_API[247]) +#define NpyIter_RemoveMultiIndex \ + (*(int (*)(NpyIter *)) \ + PyArray_API[248]) +#define NpyIter_HasIndex \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[249]) +#define NpyIter_IsBuffered \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[250]) +#define NpyIter_IsGrowInner \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[251]) +#define NpyIter_GetBufferSize \ + (*(npy_intp (*)(NpyIter *)) \ + PyArray_API[252]) +#define NpyIter_GetIndexPtr \ + (*(npy_intp * (*)(NpyIter *)) \ + PyArray_API[253]) +#define NpyIter_GotoIndex \ + (*(int (*)(NpyIter *, npy_intp)) \ + PyArray_API[254]) +#define NpyIter_GetDataPtrArray \ + (*(char ** (*)(NpyIter *)) \ + PyArray_API[255]) +#define NpyIter_GetDescrArray \ + (*(PyArray_Descr ** (*)(NpyIter *)) \ + PyArray_API[256]) +#define NpyIter_GetOperandArray \ + (*(PyArrayObject ** (*)(NpyIter *)) \ + PyArray_API[257]) +#define NpyIter_GetIterView \ + (*(PyArrayObject * (*)(NpyIter *, npy_intp)) \ + PyArray_API[258]) +#define NpyIter_GetReadFlags \ + (*(void (*)(NpyIter *, char *)) \ + PyArray_API[259]) +#define NpyIter_GetWriteFlags \ + (*(void (*)(NpyIter *, char *)) \ + PyArray_API[260]) +#define NpyIter_DebugPrint \ + (*(void (*)(NpyIter *)) \ + PyArray_API[261]) +#define NpyIter_IterationNeedsAPI \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[262]) +#define NpyIter_GetInnerFixedStrideArray \ + (*(void (*)(NpyIter *, npy_intp *)) \ + PyArray_API[263]) +#define NpyIter_RemoveAxis \ + (*(int (*)(NpyIter *, int)) \ + PyArray_API[264]) +#define NpyIter_GetAxisStrideArray \ + (*(npy_intp * (*)(NpyIter *, int)) \ + PyArray_API[265]) +#define NpyIter_RequiresBuffering \ + (*(npy_bool (*)(NpyIter *)) \ + PyArray_API[266]) +#define NpyIter_GetInitialDataPtrArray \ + (*(char ** (*)(NpyIter *)) \ + PyArray_API[267]) +#define NpyIter_CreateCompatibleStrides \ + (*(int (*)(NpyIter *, npy_intp, npy_intp *)) \ + PyArray_API[268]) +#define PyArray_CastingConverter \ + (*(int (*)(PyObject *, NPY_CASTING *)) \ + PyArray_API[269]) +#define PyArray_CountNonzero \ + (*(npy_intp (*)(PyArrayObject *)) \ + PyArray_API[270]) +#define PyArray_PromoteTypes \ + (*(PyArray_Descr * (*)(PyArray_Descr *, PyArray_Descr *)) \ + PyArray_API[271]) +#define PyArray_MinScalarType \ + (*(PyArray_Descr * (*)(PyArrayObject *)) \ + PyArray_API[272]) +#define PyArray_ResultType \ + (*(PyArray_Descr * (*)(npy_intp, PyArrayObject *arrs[], npy_intp, PyArray_Descr *descrs[])) \ + PyArray_API[273]) +#define PyArray_CanCastArrayTo \ + (*(npy_bool (*)(PyArrayObject *, PyArray_Descr *, NPY_CASTING)) \ + PyArray_API[274]) +#define PyArray_CanCastTypeTo \ + (*(npy_bool (*)(PyArray_Descr *, PyArray_Descr *, NPY_CASTING)) \ + PyArray_API[275]) +#define PyArray_EinsteinSum \ + (*(PyArrayObject * (*)(char *, npy_intp, PyArrayObject **, PyArray_Descr *, NPY_ORDER, NPY_CASTING, PyArrayObject *)) \ + PyArray_API[276]) +#define PyArray_NewLikeArray \ + (*(PyObject * (*)(PyArrayObject *, NPY_ORDER, PyArray_Descr *, int)) \ + PyArray_API[277]) +#define PyArray_ConvertClipmodeSequence \ + (*(int (*)(PyObject *, NPY_CLIPMODE *, int)) \ + PyArray_API[279]) +#define PyArray_MatrixProduct2 \ + (*(PyObject * (*)(PyObject *, PyObject *, PyArrayObject*)) \ + PyArray_API[280]) +#define NpyIter_IsFirstVisit \ + (*(npy_bool (*)(NpyIter *, int)) \ + PyArray_API[281]) +#define PyArray_SetBaseObject \ + (*(int (*)(PyArrayObject *, PyObject *)) \ + PyArray_API[282]) +#define PyArray_CreateSortedStridePerm \ + (*(void (*)(int, npy_intp const *, npy_stride_sort_item *)) \ + PyArray_API[283]) +#define PyArray_RemoveAxesInPlace \ + (*(void (*)(PyArrayObject *, const npy_bool *)) \ + PyArray_API[284]) +#define PyArray_DebugPrint \ + (*(void (*)(PyArrayObject *)) \ + PyArray_API[285]) +#define PyArray_FailUnlessWriteable \ + (*(int (*)(PyArrayObject *, const char *)) \ + PyArray_API[286]) +#define PyArray_SetUpdateIfCopyBase \ + (*(int (*)(PyArrayObject *, PyArrayObject *)) \ + PyArray_API[287]) +#define PyDataMem_NEW \ + (*(void * (*)(size_t)) \ + PyArray_API[288]) +#define PyDataMem_FREE \ + (*(void (*)(void *)) \ + PyArray_API[289]) +#define PyDataMem_RENEW \ + (*(void * (*)(void *, size_t)) \ + PyArray_API[290]) +#define NPY_DEFAULT_ASSIGN_CASTING (*(NPY_CASTING *)PyArray_API[292]) +#define PyArray_Partition \ + (*(int (*)(PyArrayObject *, PyArrayObject *, int, NPY_SELECTKIND)) \ + PyArray_API[296]) +#define PyArray_ArgPartition \ + (*(PyObject * (*)(PyArrayObject *, PyArrayObject *, int, NPY_SELECTKIND)) \ + PyArray_API[297]) +#define PyArray_SelectkindConverter \ + (*(int (*)(PyObject *, NPY_SELECTKIND *)) \ + PyArray_API[298]) +#define PyDataMem_NEW_ZEROED \ + (*(void * (*)(size_t, size_t)) \ + PyArray_API[299]) +#define PyArray_CheckAnyScalarExact \ + (*(int (*)(PyObject *)) \ + PyArray_API[300]) +#define PyArray_ResolveWritebackIfCopy \ + (*(int (*)(PyArrayObject *)) \ + PyArray_API[302]) +#define PyArray_SetWritebackIfCopyBase \ + (*(int (*)(PyArrayObject *, PyArrayObject *)) \ + PyArray_API[303]) + +#if NPY_FEATURE_VERSION >= NPY_1_22_API_VERSION +#define PyDataMem_SetHandler \ + (*(PyObject * (*)(PyObject *)) \ + PyArray_API[304]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_1_22_API_VERSION +#define PyDataMem_GetHandler \ + (*(PyObject * (*)(void)) \ + PyArray_API[305]) +#endif +#define PyDataMem_DefaultHandler (*(PyObject* *)PyArray_API[306]) + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyDatetime_ConvertDatetime64ToDatetimeStruct \ + (*(int (*)(PyArray_DatetimeMetaData *, npy_datetime, npy_datetimestruct *)) \ + PyArray_API[307]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyDatetime_ConvertDatetimeStructToDatetime64 \ + (*(int (*)(PyArray_DatetimeMetaData *, const npy_datetimestruct *, npy_datetime *)) \ + PyArray_API[308]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyDatetime_ConvertPyDateTimeToDatetimeStruct \ + (*(int (*)(PyObject *, npy_datetimestruct *, NPY_DATETIMEUNIT *, int)) \ + PyArray_API[309]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyDatetime_GetDatetimeISO8601StrLen \ + (*(int (*)(int, NPY_DATETIMEUNIT)) \ + PyArray_API[310]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyDatetime_MakeISO8601Datetime \ + (*(int (*)(npy_datetimestruct *, char *, npy_intp, int, int, NPY_DATETIMEUNIT, int, NPY_CASTING)) \ + PyArray_API[311]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyDatetime_ParseISO8601Datetime \ + (*(int (*)(char const *, Py_ssize_t, NPY_DATETIMEUNIT, NPY_CASTING, npy_datetimestruct *, NPY_DATETIMEUNIT *, npy_bool *)) \ + PyArray_API[312]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyString_load \ + (*(int (*)(npy_string_allocator *, const npy_packed_static_string *, npy_static_string *)) \ + PyArray_API[313]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyString_pack \ + (*(int (*)(npy_string_allocator *, npy_packed_static_string *, const char *, size_t)) \ + PyArray_API[314]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyString_pack_null \ + (*(int (*)(npy_string_allocator *, npy_packed_static_string *)) \ + PyArray_API[315]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyString_acquire_allocator \ + (*(npy_string_allocator * (*)(const PyArray_StringDTypeObject *)) \ + PyArray_API[316]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyString_acquire_allocators \ + (*(void (*)(size_t, PyArray_Descr *const descrs[], npy_string_allocator *allocators[])) \ + PyArray_API[317]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyString_release_allocator \ + (*(void (*)(npy_string_allocator *)) \ + PyArray_API[318]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define NpyString_release_allocators \ + (*(void (*)(size_t, npy_string_allocator *allocators[])) \ + PyArray_API[319]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyArray_GetDefaultDescr \ + (*(PyArray_Descr * (*)(PyArray_DTypeMeta *)) \ + PyArray_API[361]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyArrayInitDTypeMeta_FromSpec \ + (*(int (*)(PyArray_DTypeMeta *, PyArrayDTypeMeta_Spec *)) \ + PyArray_API[362]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyArray_CommonDType \ + (*(PyArray_DTypeMeta * (*)(PyArray_DTypeMeta *, PyArray_DTypeMeta *)) \ + PyArray_API[363]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyArray_PromoteDTypeSequence \ + (*(PyArray_DTypeMeta * (*)(npy_intp, PyArray_DTypeMeta **)) \ + PyArray_API[364]) +#endif +#define _PyDataType_GetArrFuncs \ + (*(PyArray_ArrFuncs * (*)(const PyArray_Descr *)) \ + PyArray_API[365]) + +/* + * The DType classes are inconvenient for the Python generation so exposed + * manually in the header below (may be moved). + */ +#include "numpy/_public_dtype_api_table.h" + +#if !defined(NO_IMPORT_ARRAY) && !defined(NO_IMPORT) +static int +_import_array(void) +{ + int st; + PyObject *numpy = PyImport_ImportModule("numpy._core._multiarray_umath"); + if (numpy == NULL && PyErr_ExceptionMatches(PyExc_ModuleNotFoundError)) { + PyErr_Clear(); + numpy = PyImport_ImportModule("numpy.core._multiarray_umath"); + } + + if (numpy == NULL) { + return -1; + } + + PyObject *c_api = PyObject_GetAttrString(numpy, "_ARRAY_API"); + Py_DECREF(numpy); + if (c_api == NULL) { + return -1; + } + + if (!PyCapsule_CheckExact(c_api)) { + PyErr_SetString(PyExc_RuntimeError, "_ARRAY_API is not PyCapsule object"); + Py_DECREF(c_api); + return -1; + } + PyArray_API = (void **)PyCapsule_GetPointer(c_api, NULL); + Py_DECREF(c_api); + if (PyArray_API == NULL) { + PyErr_SetString(PyExc_RuntimeError, "_ARRAY_API is NULL pointer"); + return -1; + } + + /* + * On exceedingly few platforms these sizes may not match, in which case + * We do not support older NumPy versions at all. + */ + if (sizeof(Py_ssize_t) != sizeof(Py_intptr_t) && + PyArray_RUNTIME_VERSION < NPY_2_0_API_VERSION) { + PyErr_Format(PyExc_RuntimeError, + "module compiled against NumPy 2.0 but running on NumPy 1.x. " + "Unfortunately, this is not supported on niche platforms where " + "`sizeof(size_t) != sizeof(inptr_t)`."); + } + /* + * Perform runtime check of C API version. As of now NumPy 2.0 is ABI + * backwards compatible (in the exposed feature subset!) for all practical + * purposes. + */ + if (NPY_VERSION < PyArray_GetNDArrayCVersion()) { + PyErr_Format(PyExc_RuntimeError, "module compiled against "\ + "ABI version 0x%x but this version of numpy is 0x%x", \ + (int) NPY_VERSION, (int) PyArray_GetNDArrayCVersion()); + return -1; + } + PyArray_RUNTIME_VERSION = (int)PyArray_GetNDArrayCFeatureVersion(); + if (NPY_FEATURE_VERSION > PyArray_RUNTIME_VERSION) { + PyErr_Format(PyExc_RuntimeError, + "module was compiled against NumPy C-API version 0x%x " + "(NumPy " NPY_FEATURE_VERSION_STRING ") " + "but the running NumPy has C-API version 0x%x. " + "Check the section C-API incompatibility at the " + "Troubleshooting ImportError section at " + "https://numpy.org/devdocs/user/troubleshooting-importerror.html" + "#c-api-incompatibility " + "for indications on how to solve this problem.", + (int)NPY_FEATURE_VERSION, PyArray_RUNTIME_VERSION); + return -1; + } + + /* + * Perform runtime check of endianness and check it matches the one set by + * the headers (npy_endian.h) as a safeguard + */ + st = PyArray_GetEndianness(); + if (st == NPY_CPU_UNKNOWN_ENDIAN) { + PyErr_SetString(PyExc_RuntimeError, + "FATAL: module compiled as unknown endian"); + return -1; + } +#if NPY_BYTE_ORDER == NPY_BIG_ENDIAN + if (st != NPY_CPU_BIG) { + PyErr_SetString(PyExc_RuntimeError, + "FATAL: module compiled as big endian, but " + "detected different endianness at runtime"); + return -1; + } +#elif NPY_BYTE_ORDER == NPY_LITTLE_ENDIAN + if (st != NPY_CPU_LITTLE) { + PyErr_SetString(PyExc_RuntimeError, + "FATAL: module compiled as little endian, but " + "detected different endianness at runtime"); + return -1; + } +#endif + + return 0; +} + +#define import_array() { \ + if (_import_array() < 0) { \ + PyErr_Print(); \ + PyErr_SetString( \ + PyExc_ImportError, \ + "numpy._core.multiarray failed to import" \ + ); \ + return NULL; \ + } \ +} + +#define import_array1(ret) { \ + if (_import_array() < 0) { \ + PyErr_Print(); \ + PyErr_SetString( \ + PyExc_ImportError, \ + "numpy._core.multiarray failed to import" \ + ); \ + return ret; \ + } \ +} + +#define import_array2(msg, ret) { \ + if (_import_array() < 0) { \ + PyErr_Print(); \ + PyErr_SetString(PyExc_ImportError, msg); \ + return ret; \ + } \ +} + +#endif + +#endif diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__ufunc_api.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__ufunc_api.c new file mode 100644 index 0000000000000000000000000000000000000000..10fcbc4553989057667a90ce9d587deefc13f5f1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__ufunc_api.c @@ -0,0 +1,54 @@ + +/* These pointers will be stored in the C-object for use in other + extension modules +*/ + +void *PyUFunc_API[] = { + (void *) &PyUFunc_Type, + (void *) PyUFunc_FromFuncAndData, + (void *) PyUFunc_RegisterLoopForType, + NULL, + (void *) PyUFunc_f_f_As_d_d, + (void *) PyUFunc_d_d, + (void *) PyUFunc_f_f, + (void *) PyUFunc_g_g, + (void *) PyUFunc_F_F_As_D_D, + (void *) PyUFunc_F_F, + (void *) PyUFunc_D_D, + (void *) PyUFunc_G_G, + (void *) PyUFunc_O_O, + (void *) PyUFunc_ff_f_As_dd_d, + (void *) PyUFunc_ff_f, + (void *) PyUFunc_dd_d, + (void *) PyUFunc_gg_g, + (void *) PyUFunc_FF_F_As_DD_D, + (void *) PyUFunc_DD_D, + (void *) PyUFunc_FF_F, + (void *) PyUFunc_GG_G, + (void *) PyUFunc_OO_O, + (void *) PyUFunc_O_O_method, + (void *) PyUFunc_OO_O_method, + (void *) PyUFunc_On_Om, + NULL, + NULL, + (void *) PyUFunc_clearfperr, + (void *) PyUFunc_getfperr, + NULL, + (void *) PyUFunc_ReplaceLoopBySignature, + (void *) PyUFunc_FromFuncAndDataAndSignature, + NULL, + (void *) PyUFunc_e_e, + (void *) PyUFunc_e_e_As_f_f, + (void *) PyUFunc_e_e_As_d_d, + (void *) PyUFunc_ee_e, + (void *) PyUFunc_ee_e_As_ff_f, + (void *) PyUFunc_ee_e_As_dd_d, + (void *) PyUFunc_DefaultTypeResolver, + (void *) PyUFunc_ValidateCasting, + (void *) PyUFunc_RegisterLoopForDescr, + (void *) PyUFunc_FromFuncAndDataAndSignatureAndIdentity, + (void *) PyUFunc_AddLoopFromSpec, + (void *) PyUFunc_AddPromoter, + (void *) PyUFunc_AddWrappingLoop, + (void *) PyUFunc_GiveFloatingpointErrors +}; diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__ufunc_api.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__ufunc_api.h new file mode 100644 index 0000000000000000000000000000000000000000..df7ded10b548d495338dc368d727cf77ff70740a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/__ufunc_api.h @@ -0,0 +1,340 @@ + +#ifdef _UMATHMODULE + +extern NPY_NO_EXPORT PyTypeObject PyUFunc_Type; + +extern NPY_NO_EXPORT PyTypeObject PyUFunc_Type; + +NPY_NO_EXPORT PyObject * PyUFunc_FromFuncAndData \ + (PyUFuncGenericFunction *, void *const *, const char *, int, int, int, int, const char *, const char *, int); +NPY_NO_EXPORT int PyUFunc_RegisterLoopForType \ + (PyUFuncObject *, int, PyUFuncGenericFunction, const int *, void *); +NPY_NO_EXPORT void PyUFunc_f_f_As_d_d \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_d_d \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_f_f \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_g_g \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_F_F_As_D_D \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_F_F \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_D_D \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_G_G \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_O_O \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_ff_f_As_dd_d \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_ff_f \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_dd_d \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_gg_g \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_FF_F_As_DD_D \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_DD_D \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_FF_F \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_GG_G \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_OO_O \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_O_O_method \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_OO_O_method \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_On_Om \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_clearfperr \ + (void); +NPY_NO_EXPORT int PyUFunc_getfperr \ + (void); +NPY_NO_EXPORT int PyUFunc_ReplaceLoopBySignature \ + (PyUFuncObject *, PyUFuncGenericFunction, const int *, PyUFuncGenericFunction *); +NPY_NO_EXPORT PyObject * PyUFunc_FromFuncAndDataAndSignature \ + (PyUFuncGenericFunction *, void *const *, const char *, int, int, int, int, const char *, const char *, int, const char *); +NPY_NO_EXPORT void PyUFunc_e_e \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_e_e_As_f_f \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_e_e_As_d_d \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_ee_e \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_ee_e_As_ff_f \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT void PyUFunc_ee_e_As_dd_d \ + (char **, npy_intp const *, npy_intp const *, void *); +NPY_NO_EXPORT int PyUFunc_DefaultTypeResolver \ + (PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyObject *, PyArray_Descr **); +NPY_NO_EXPORT int PyUFunc_ValidateCasting \ + (PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyArray_Descr *const *); +NPY_NO_EXPORT int PyUFunc_RegisterLoopForDescr \ + (PyUFuncObject *, PyArray_Descr *, PyUFuncGenericFunction, PyArray_Descr **, void *); +NPY_NO_EXPORT PyObject * PyUFunc_FromFuncAndDataAndSignatureAndIdentity \ + (PyUFuncGenericFunction *, void *const *, const char *, int, int, int, int, const char *, const char *, const int, const char *, PyObject *); +NPY_NO_EXPORT int PyUFunc_AddLoopFromSpec \ + (PyObject *, PyArrayMethod_Spec *); +NPY_NO_EXPORT int PyUFunc_AddPromoter \ + (PyObject *, PyObject *, PyObject *); +NPY_NO_EXPORT int PyUFunc_AddWrappingLoop \ + (PyObject *, PyArray_DTypeMeta *new_dtypes[], PyArray_DTypeMeta *wrapped_dtypes[], PyArrayMethod_TranslateGivenDescriptors *, PyArrayMethod_TranslateLoopDescriptors *); +NPY_NO_EXPORT int PyUFunc_GiveFloatingpointErrors \ + (const char *, int); + +#else + +#if defined(PY_UFUNC_UNIQUE_SYMBOL) +#define PyUFunc_API PY_UFUNC_UNIQUE_SYMBOL +#endif + +/* By default do not export API in an .so (was never the case on windows) */ +#ifndef NPY_API_SYMBOL_ATTRIBUTE + #define NPY_API_SYMBOL_ATTRIBUTE NPY_VISIBILITY_HIDDEN +#endif + +#if defined(NO_IMPORT) || defined(NO_IMPORT_UFUNC) +extern NPY_API_SYMBOL_ATTRIBUTE void **PyUFunc_API; +#else +#if defined(PY_UFUNC_UNIQUE_SYMBOL) +NPY_API_SYMBOL_ATTRIBUTE void **PyUFunc_API; +#else +static void **PyUFunc_API=NULL; +#endif +#endif + +#define PyUFunc_Type (*(PyTypeObject *)PyUFunc_API[0]) +#define PyUFunc_FromFuncAndData \ + (*(PyObject * (*)(PyUFuncGenericFunction *, void *const *, const char *, int, int, int, int, const char *, const char *, int)) \ + PyUFunc_API[1]) +#define PyUFunc_RegisterLoopForType \ + (*(int (*)(PyUFuncObject *, int, PyUFuncGenericFunction, const int *, void *)) \ + PyUFunc_API[2]) +#define PyUFunc_f_f_As_d_d \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[4]) +#define PyUFunc_d_d \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[5]) +#define PyUFunc_f_f \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[6]) +#define PyUFunc_g_g \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[7]) +#define PyUFunc_F_F_As_D_D \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[8]) +#define PyUFunc_F_F \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[9]) +#define PyUFunc_D_D \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[10]) +#define PyUFunc_G_G \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[11]) +#define PyUFunc_O_O \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[12]) +#define PyUFunc_ff_f_As_dd_d \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[13]) +#define PyUFunc_ff_f \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[14]) +#define PyUFunc_dd_d \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[15]) +#define PyUFunc_gg_g \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[16]) +#define PyUFunc_FF_F_As_DD_D \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[17]) +#define PyUFunc_DD_D \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[18]) +#define PyUFunc_FF_F \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[19]) +#define PyUFunc_GG_G \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[20]) +#define PyUFunc_OO_O \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[21]) +#define PyUFunc_O_O_method \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[22]) +#define PyUFunc_OO_O_method \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[23]) +#define PyUFunc_On_Om \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[24]) +#define PyUFunc_clearfperr \ + (*(void (*)(void)) \ + PyUFunc_API[27]) +#define PyUFunc_getfperr \ + (*(int (*)(void)) \ + PyUFunc_API[28]) +#define PyUFunc_ReplaceLoopBySignature \ + (*(int (*)(PyUFuncObject *, PyUFuncGenericFunction, const int *, PyUFuncGenericFunction *)) \ + PyUFunc_API[30]) +#define PyUFunc_FromFuncAndDataAndSignature \ + (*(PyObject * (*)(PyUFuncGenericFunction *, void *const *, const char *, int, int, int, int, const char *, const char *, int, const char *)) \ + PyUFunc_API[31]) +#define PyUFunc_e_e \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[33]) +#define PyUFunc_e_e_As_f_f \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[34]) +#define PyUFunc_e_e_As_d_d \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[35]) +#define PyUFunc_ee_e \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[36]) +#define PyUFunc_ee_e_As_ff_f \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[37]) +#define PyUFunc_ee_e_As_dd_d \ + (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \ + PyUFunc_API[38]) +#define PyUFunc_DefaultTypeResolver \ + (*(int (*)(PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyObject *, PyArray_Descr **)) \ + PyUFunc_API[39]) +#define PyUFunc_ValidateCasting \ + (*(int (*)(PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyArray_Descr *const *)) \ + PyUFunc_API[40]) +#define PyUFunc_RegisterLoopForDescr \ + (*(int (*)(PyUFuncObject *, PyArray_Descr *, PyUFuncGenericFunction, PyArray_Descr **, void *)) \ + PyUFunc_API[41]) + +#if NPY_FEATURE_VERSION >= NPY_1_16_API_VERSION +#define PyUFunc_FromFuncAndDataAndSignatureAndIdentity \ + (*(PyObject * (*)(PyUFuncGenericFunction *, void *const *, const char *, int, int, int, int, const char *, const char *, const int, const char *, PyObject *)) \ + PyUFunc_API[42]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyUFunc_AddLoopFromSpec \ + (*(int (*)(PyObject *, PyArrayMethod_Spec *)) \ + PyUFunc_API[43]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyUFunc_AddPromoter \ + (*(int (*)(PyObject *, PyObject *, PyObject *)) \ + PyUFunc_API[44]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyUFunc_AddWrappingLoop \ + (*(int (*)(PyObject *, PyArray_DTypeMeta *new_dtypes[], PyArray_DTypeMeta *wrapped_dtypes[], PyArrayMethod_TranslateGivenDescriptors *, PyArrayMethod_TranslateLoopDescriptors *)) \ + PyUFunc_API[45]) +#endif + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +#define PyUFunc_GiveFloatingpointErrors \ + (*(int (*)(const char *, int)) \ + PyUFunc_API[46]) +#endif + +static inline int +_import_umath(void) +{ + PyObject *numpy = PyImport_ImportModule("numpy._core._multiarray_umath"); + if (numpy == NULL && PyErr_ExceptionMatches(PyExc_ModuleNotFoundError)) { + PyErr_Clear(); + numpy = PyImport_ImportModule("numpy.core._multiarray_umath"); + } + + if (numpy == NULL) { + PyErr_SetString(PyExc_ImportError, + "_multiarray_umath failed to import"); + return -1; + } + + PyObject *c_api = PyObject_GetAttrString(numpy, "_UFUNC_API"); + Py_DECREF(numpy); + if (c_api == NULL) { + PyErr_SetString(PyExc_AttributeError, "_UFUNC_API not found"); + return -1; + } + + if (!PyCapsule_CheckExact(c_api)) { + PyErr_SetString(PyExc_RuntimeError, "_UFUNC_API is not PyCapsule object"); + Py_DECREF(c_api); + return -1; + } + PyUFunc_API = (void **)PyCapsule_GetPointer(c_api, NULL); + Py_DECREF(c_api); + if (PyUFunc_API == NULL) { + PyErr_SetString(PyExc_RuntimeError, "_UFUNC_API is NULL pointer"); + return -1; + } + return 0; +} + +#define import_umath() \ + do {\ + UFUNC_NOFPE\ + if (_import_umath() < 0) {\ + PyErr_Print();\ + PyErr_SetString(PyExc_ImportError,\ + "numpy._core.umath failed to import");\ + return NULL;\ + }\ + } while(0) + +#define import_umath1(ret) \ + do {\ + UFUNC_NOFPE\ + if (_import_umath() < 0) {\ + PyErr_Print();\ + PyErr_SetString(PyExc_ImportError,\ + "numpy._core.umath failed to import");\ + return ret;\ + }\ + } while(0) + +#define import_umath2(ret, msg) \ + do {\ + UFUNC_NOFPE\ + if (_import_umath() < 0) {\ + PyErr_Print();\ + PyErr_SetString(PyExc_ImportError, msg);\ + return ret;\ + }\ + } while(0) + +#define import_ufunc() \ + do {\ + UFUNC_NOFPE\ + if (_import_umath() < 0) {\ + PyErr_Print();\ + PyErr_SetString(PyExc_ImportError,\ + "numpy._core.umath failed to import");\ + }\ + } while(0) + + +static inline int +PyUFunc_ImportUFuncAPI() +{ + if (NPY_UNLIKELY(PyUFunc_API == NULL)) { + import_umath1(-1); + } + return 0; +} + +#endif diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_neighborhood_iterator_imp.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_neighborhood_iterator_imp.h new file mode 100644 index 0000000000000000000000000000000000000000..b365cb50854f381f1a399b7aea2adab846490366 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_neighborhood_iterator_imp.h @@ -0,0 +1,90 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY__NEIGHBORHOOD_IMP_H_ +#error You should not include this header directly +#endif +/* + * Private API (here for inline) + */ +static inline int +_PyArrayNeighborhoodIter_IncrCoord(PyArrayNeighborhoodIterObject* iter); + +/* + * Update to next item of the iterator + * + * Note: this simply increment the coordinates vector, last dimension + * incremented first , i.e, for dimension 3 + * ... + * -1, -1, -1 + * -1, -1, 0 + * -1, -1, 1 + * .... + * -1, 0, -1 + * -1, 0, 0 + * .... + * 0, -1, -1 + * 0, -1, 0 + * .... + */ +#define _UPDATE_COORD_ITER(c) \ + wb = iter->coordinates[c] < iter->bounds[c][1]; \ + if (wb) { \ + iter->coordinates[c] += 1; \ + return 0; \ + } \ + else { \ + iter->coordinates[c] = iter->bounds[c][0]; \ + } + +static inline int +_PyArrayNeighborhoodIter_IncrCoord(PyArrayNeighborhoodIterObject* iter) +{ + npy_intp i, wb; + + for (i = iter->nd - 1; i >= 0; --i) { + _UPDATE_COORD_ITER(i) + } + + return 0; +} + +/* + * Version optimized for 2d arrays, manual loop unrolling + */ +static inline int +_PyArrayNeighborhoodIter_IncrCoord2D(PyArrayNeighborhoodIterObject* iter) +{ + npy_intp wb; + + _UPDATE_COORD_ITER(1) + _UPDATE_COORD_ITER(0) + + return 0; +} +#undef _UPDATE_COORD_ITER + +/* + * Advance to the next neighbour + */ +static inline int +PyArrayNeighborhoodIter_Next(PyArrayNeighborhoodIterObject* iter) +{ + _PyArrayNeighborhoodIter_IncrCoord (iter); + iter->dataptr = iter->translate((PyArrayIterObject*)iter, iter->coordinates); + + return 0; +} + +/* + * Reset functions + */ +static inline int +PyArrayNeighborhoodIter_Reset(PyArrayNeighborhoodIterObject* iter) +{ + npy_intp i; + + for (i = 0; i < iter->nd; ++i) { + iter->coordinates[i] = iter->bounds[i][0]; + } + iter->dataptr = iter->translate((PyArrayIterObject*)iter, iter->coordinates); + + return 0; +} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_numpyconfig.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_numpyconfig.h new file mode 100644 index 0000000000000000000000000000000000000000..6e50e16505bbc9ad5f859ff63dd16978c7cd3ecb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_numpyconfig.h @@ -0,0 +1,33 @@ +#define NPY_HAVE_ENDIAN_H 1 + +#define NPY_SIZEOF_SHORT 2 +#define NPY_SIZEOF_INT 4 +#define NPY_SIZEOF_LONG 8 +#define NPY_SIZEOF_FLOAT 4 +#define NPY_SIZEOF_COMPLEX_FLOAT 8 +#define NPY_SIZEOF_DOUBLE 8 +#define NPY_SIZEOF_COMPLEX_DOUBLE 16 +#define NPY_SIZEOF_LONGDOUBLE 16 +#define NPY_SIZEOF_COMPLEX_LONGDOUBLE 32 +#define NPY_SIZEOF_PY_INTPTR_T 8 +#define NPY_SIZEOF_INTP 8 +#define NPY_SIZEOF_UINTP 8 +#define NPY_SIZEOF_WCHAR_T 4 +#define NPY_SIZEOF_OFF_T 8 +#define NPY_SIZEOF_PY_LONG_LONG 8 +#define NPY_SIZEOF_LONGLONG 8 + +/* + * Defined to 1 or 0. Note that Pyodide hardcodes NPY_NO_SMP (and other defines + * in this header) for better cross-compilation, so don't rename them without a + * good reason. + */ +#define NPY_NO_SMP 0 + +#define NPY_VISIBILITY_HIDDEN __attribute__((visibility("hidden"))) +#define NPY_ABI_VERSION 0x02000000 +#define NPY_API_VERSION 0x00000013 + +#ifndef __STDC_FORMAT_MACROS +#define __STDC_FORMAT_MACROS 1 +#endif diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_public_dtype_api_table.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_public_dtype_api_table.h new file mode 100644 index 0000000000000000000000000000000000000000..51f39054062762c39b3df4f689b74060e97036c0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/_public_dtype_api_table.h @@ -0,0 +1,86 @@ +/* + * Public exposure of the DType Classes. These are tricky to expose + * via the Python API, so they are exposed through this header for now. + * + * These definitions are only relevant for the public API and we reserve + * the slots 320-360 in the API table generation for this (currently). + * + * TODO: This file should be consolidated with the API table generation + * (although not sure the current generation is worth preserving). + */ +#ifndef NUMPY_CORE_INCLUDE_NUMPY__PUBLIC_DTYPE_API_TABLE_H_ +#define NUMPY_CORE_INCLUDE_NUMPY__PUBLIC_DTYPE_API_TABLE_H_ + +#if !(defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD) + +/* All of these require NumPy 2.0 support */ +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION + +/* + * The type of the DType metaclass + */ +#define PyArrayDTypeMeta_Type (*(PyTypeObject *)(PyArray_API + 320)[0]) +/* + * NumPy's builtin DTypes: + */ +#define PyArray_BoolDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[1]) +/* Integers */ +#define PyArray_ByteDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[2]) +#define PyArray_UByteDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[3]) +#define PyArray_ShortDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[4]) +#define PyArray_UShortDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[5]) +#define PyArray_IntDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[6]) +#define PyArray_UIntDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[7]) +#define PyArray_LongDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[8]) +#define PyArray_ULongDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[9]) +#define PyArray_LongLongDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[10]) +#define PyArray_ULongLongDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[11]) +/* Integer aliases */ +#define PyArray_Int8DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[12]) +#define PyArray_UInt8DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[13]) +#define PyArray_Int16DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[14]) +#define PyArray_UInt16DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[15]) +#define PyArray_Int32DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[16]) +#define PyArray_UInt32DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[17]) +#define PyArray_Int64DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[18]) +#define PyArray_UInt64DType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[19]) +#define PyArray_IntpDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[20]) +#define PyArray_UIntpDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[21]) +/* Floats */ +#define PyArray_HalfDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[22]) +#define PyArray_FloatDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[23]) +#define PyArray_DoubleDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[24]) +#define PyArray_LongDoubleDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[25]) +/* Complex */ +#define PyArray_CFloatDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[26]) +#define PyArray_CDoubleDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[27]) +#define PyArray_CLongDoubleDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[28]) +/* String/Bytes */ +#define PyArray_BytesDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[29]) +#define PyArray_UnicodeDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[30]) +/* Datetime/Timedelta */ +#define PyArray_DatetimeDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[31]) +#define PyArray_TimedeltaDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[32]) +/* Object/Void */ +#define PyArray_ObjectDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[33]) +#define PyArray_VoidDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[34]) +/* Python types (used as markers for scalars) */ +#define PyArray_PyLongDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[35]) +#define PyArray_PyFloatDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[36]) +#define PyArray_PyComplexDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[37]) +/* Default integer type */ +#define PyArray_DefaultIntDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[38]) +/* New non-legacy DTypes follow in the order they were added */ +#define PyArray_StringDType (*(PyArray_DTypeMeta *)(PyArray_API + 320)[39]) + +/* NOTE: offset 40 is free */ + +/* Need to start with a larger offset again for the abstract classes: */ +#define PyArray_IntAbstractDType (*(PyArray_DTypeMeta *)PyArray_API[366]) +#define PyArray_FloatAbstractDType (*(PyArray_DTypeMeta *)PyArray_API[367]) +#define PyArray_ComplexAbstractDType (*(PyArray_DTypeMeta *)PyArray_API[368]) + +#endif /* NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION */ + +#endif /* NPY_INTERNAL_BUILD */ +#endif /* NUMPY_CORE_INCLUDE_NUMPY__PUBLIC_DTYPE_API_TABLE_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/arrayobject.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/arrayobject.h new file mode 100644 index 0000000000000000000000000000000000000000..97d93590e401fc878b72281d938170623f01da97 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/arrayobject.h @@ -0,0 +1,7 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_ARRAYOBJECT_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_ARRAYOBJECT_H_ +#define Py_ARRAYOBJECT_H + +#include "ndarrayobject.h" + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_ARRAYOBJECT_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/arrayscalars.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/arrayscalars.h new file mode 100644 index 0000000000000000000000000000000000000000..ff048061f70abda097606b6247e32234d4eacf29 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/arrayscalars.h @@ -0,0 +1,196 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_ARRAYSCALARS_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_ARRAYSCALARS_H_ + +#ifndef _MULTIARRAYMODULE +typedef struct { + PyObject_HEAD + npy_bool obval; +} PyBoolScalarObject; +#endif + + +typedef struct { + PyObject_HEAD + signed char obval; +} PyByteScalarObject; + + +typedef struct { + PyObject_HEAD + short obval; +} PyShortScalarObject; + + +typedef struct { + PyObject_HEAD + int obval; +} PyIntScalarObject; + + +typedef struct { + PyObject_HEAD + long obval; +} PyLongScalarObject; + + +typedef struct { + PyObject_HEAD + npy_longlong obval; +} PyLongLongScalarObject; + + +typedef struct { + PyObject_HEAD + unsigned char obval; +} PyUByteScalarObject; + + +typedef struct { + PyObject_HEAD + unsigned short obval; +} PyUShortScalarObject; + + +typedef struct { + PyObject_HEAD + unsigned int obval; +} PyUIntScalarObject; + + +typedef struct { + PyObject_HEAD + unsigned long obval; +} PyULongScalarObject; + + +typedef struct { + PyObject_HEAD + npy_ulonglong obval; +} PyULongLongScalarObject; + + +typedef struct { + PyObject_HEAD + npy_half obval; +} PyHalfScalarObject; + + +typedef struct { + PyObject_HEAD + float obval; +} PyFloatScalarObject; + + +typedef struct { + PyObject_HEAD + double obval; +} PyDoubleScalarObject; + + +typedef struct { + PyObject_HEAD + npy_longdouble obval; +} PyLongDoubleScalarObject; + + +typedef struct { + PyObject_HEAD + npy_cfloat obval; +} PyCFloatScalarObject; + + +typedef struct { + PyObject_HEAD + npy_cdouble obval; +} PyCDoubleScalarObject; + + +typedef struct { + PyObject_HEAD + npy_clongdouble obval; +} PyCLongDoubleScalarObject; + + +typedef struct { + PyObject_HEAD + PyObject * obval; +} PyObjectScalarObject; + +typedef struct { + PyObject_HEAD + npy_datetime obval; + PyArray_DatetimeMetaData obmeta; +} PyDatetimeScalarObject; + +typedef struct { + PyObject_HEAD + npy_timedelta obval; + PyArray_DatetimeMetaData obmeta; +} PyTimedeltaScalarObject; + + +typedef struct { + PyObject_HEAD + char obval; +} PyScalarObject; + +#define PyStringScalarObject PyBytesObject +#ifndef Py_LIMITED_API +typedef struct { + /* note that the PyObject_HEAD macro lives right here */ + PyUnicodeObject base; + Py_UCS4 *obval; + #if NPY_FEATURE_VERSION >= NPY_1_20_API_VERSION + char *buffer_fmt; + #endif +} PyUnicodeScalarObject; +#endif + + +typedef struct { + PyObject_VAR_HEAD + char *obval; +#if defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD + /* Internally use the subclass to allow accessing names/fields */ + _PyArray_LegacyDescr *descr; +#else + PyArray_Descr *descr; +#endif + int flags; + PyObject *base; + #if NPY_FEATURE_VERSION >= NPY_1_20_API_VERSION + void *_buffer_info; /* private buffer info, tagged to allow warning */ + #endif +} PyVoidScalarObject; + +/* Macros + PyScalarObject + PyArrType_Type + are defined in ndarrayobject.h +*/ + +#define PyArrayScalar_False ((PyObject *)(&(_PyArrayScalar_BoolValues[0]))) +#define PyArrayScalar_True ((PyObject *)(&(_PyArrayScalar_BoolValues[1]))) +#define PyArrayScalar_FromLong(i) \ + ((PyObject *)(&(_PyArrayScalar_BoolValues[((i)!=0)]))) +#define PyArrayScalar_RETURN_BOOL_FROM_LONG(i) \ + return Py_INCREF(PyArrayScalar_FromLong(i)), \ + PyArrayScalar_FromLong(i) +#define PyArrayScalar_RETURN_FALSE \ + return Py_INCREF(PyArrayScalar_False), \ + PyArrayScalar_False +#define PyArrayScalar_RETURN_TRUE \ + return Py_INCREF(PyArrayScalar_True), \ + PyArrayScalar_True + +#define PyArrayScalar_New(cls) \ + Py##cls##ArrType_Type.tp_alloc(&Py##cls##ArrType_Type, 0) +#ifndef Py_LIMITED_API +/* For the limited API, use PyArray_ScalarAsCtype instead */ +#define PyArrayScalar_VAL(obj, cls) \ + ((Py##cls##ScalarObject *)obj)->obval +#define PyArrayScalar_ASSIGN(obj, cls, val) \ + PyArrayScalar_VAL(obj, cls) = val +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_ARRAYSCALARS_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/dtype_api.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/dtype_api.h new file mode 100644 index 0000000000000000000000000000000000000000..b37c9fbb68213e8ff7817093bc4c1f495d84b79d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/dtype_api.h @@ -0,0 +1,480 @@ +/* + * The public DType API + */ + +#ifndef NUMPY_CORE_INCLUDE_NUMPY___DTYPE_API_H_ +#define NUMPY_CORE_INCLUDE_NUMPY___DTYPE_API_H_ + +struct PyArrayMethodObject_tag; + +/* + * Largely opaque struct for DType classes (i.e. metaclass instances). + * The internal definition is currently in `ndarraytypes.h` (export is a bit + * more complex because `PyArray_Descr` is a DTypeMeta internally but not + * externally). + */ +#if !(defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD) + +#ifndef Py_LIMITED_API + + typedef struct PyArray_DTypeMeta_tag { + PyHeapTypeObject super; + + /* + * Most DTypes will have a singleton default instance, for the + * parametric legacy DTypes (bytes, string, void, datetime) this + * may be a pointer to the *prototype* instance? + */ + PyArray_Descr *singleton; + /* Copy of the legacy DTypes type number, usually invalid. */ + int type_num; + + /* The type object of the scalar instances (may be NULL?) */ + PyTypeObject *scalar_type; + /* + * DType flags to signal legacy, parametric, or + * abstract. But plenty of space for additional information/flags. + */ + npy_uint64 flags; + + /* + * Use indirection in order to allow a fixed size for this struct. + * A stable ABI size makes creating a static DType less painful + * while also ensuring flexibility for all opaque API (with one + * indirection due the pointer lookup). + */ + void *dt_slots; + /* Allow growing (at the moment also beyond this) */ + void *reserved[3]; + } PyArray_DTypeMeta; + +#else + +typedef PyTypeObject PyArray_DTypeMeta; + +#endif /* Py_LIMITED_API */ + +#endif /* not internal build */ + +/* + * ****************************************************** + * ArrayMethod API (Casting and UFuncs) + * ****************************************************** + */ + + +typedef enum { + /* Flag for whether the GIL is required */ + NPY_METH_REQUIRES_PYAPI = 1 << 0, + /* + * Some functions cannot set floating point error flags, this flag + * gives us the option (not requirement) to skip floating point error + * setup/check. No function should set error flags and ignore them + * since it would interfere with chaining operations (e.g. casting). + */ + NPY_METH_NO_FLOATINGPOINT_ERRORS = 1 << 1, + /* Whether the method supports unaligned access (not runtime) */ + NPY_METH_SUPPORTS_UNALIGNED = 1 << 2, + /* + * Used for reductions to allow reordering the operation. At this point + * assume that if set, it also applies to normal operations though! + */ + NPY_METH_IS_REORDERABLE = 1 << 3, + /* + * Private flag for now for *logic* functions. The logical functions + * `logical_or` and `logical_and` can always cast the inputs to booleans + * "safely" (because that is how the cast to bool is defined). + * @seberg: I am not sure this is the best way to handle this, so its + * private for now (also it is very limited anyway). + * There is one "exception". NA aware dtypes cannot cast to bool + * (hopefully), so the `??->?` loop should error even with this flag. + * But a second NA fallback loop will be necessary. + */ + _NPY_METH_FORCE_CAST_INPUTS = 1 << 17, + + /* All flags which can change at runtime */ + NPY_METH_RUNTIME_FLAGS = ( + NPY_METH_REQUIRES_PYAPI | + NPY_METH_NO_FLOATINGPOINT_ERRORS), +} NPY_ARRAYMETHOD_FLAGS; + + +typedef struct PyArrayMethod_Context_tag { + /* The caller, which is typically the original ufunc. May be NULL */ + PyObject *caller; + /* The method "self". Currently an opaque object. */ + struct PyArrayMethodObject_tag *method; + + /* Operand descriptors, filled in by resolve_descriptors */ + PyArray_Descr *const *descriptors; + /* Structure may grow (this is harmless for DType authors) */ +} PyArrayMethod_Context; + + +/* + * The main object for creating a new ArrayMethod. We use the typical `slots` + * mechanism used by the Python limited API (see below for the slot defs). + */ +typedef struct { + const char *name; + int nin, nout; + NPY_CASTING casting; + NPY_ARRAYMETHOD_FLAGS flags; + PyArray_DTypeMeta **dtypes; + PyType_Slot *slots; +} PyArrayMethod_Spec; + + +/* + * ArrayMethod slots + * ----------------- + * + * SLOTS IDs For the ArrayMethod creation, once fully public, IDs are fixed + * but can be deprecated and arbitrarily extended. + */ +#define _NPY_METH_resolve_descriptors_with_scalars 1 +#define NPY_METH_resolve_descriptors 2 +#define NPY_METH_get_loop 3 +#define NPY_METH_get_reduction_initial 4 +/* specific loops for constructions/default get_loop: */ +#define NPY_METH_strided_loop 5 +#define NPY_METH_contiguous_loop 6 +#define NPY_METH_unaligned_strided_loop 7 +#define NPY_METH_unaligned_contiguous_loop 8 +#define NPY_METH_contiguous_indexed_loop 9 +#define _NPY_METH_static_data 10 + + +/* + * The resolve descriptors function, must be able to handle NULL values for + * all output (but not input) `given_descrs` and fill `loop_descrs`. + * Return -1 on error or 0 if the operation is not possible without an error + * set. (This may still be in flux.) + * Otherwise must return the "casting safety", for normal functions, this is + * almost always "safe" (or even "equivalent"?). + * + * `resolve_descriptors` is optional if all output DTypes are non-parametric. + */ +typedef NPY_CASTING (PyArrayMethod_ResolveDescriptors)( + /* "method" is currently opaque (necessary e.g. to wrap Python) */ + struct PyArrayMethodObject_tag *method, + /* DTypes the method was created for */ + PyArray_DTypeMeta *const *dtypes, + /* Input descriptors (instances). Outputs may be NULL. */ + PyArray_Descr *const *given_descrs, + /* Exact loop descriptors to use, must not hold references on error */ + PyArray_Descr **loop_descrs, + npy_intp *view_offset); + + +/* + * Rarely needed, slightly more powerful version of `resolve_descriptors`. + * See also `PyArrayMethod_ResolveDescriptors` for details on shared arguments. + * + * NOTE: This function is private now as it is unclear how and what to pass + * exactly as additional information to allow dealing with the scalars. + * See also gh-24915. + */ +typedef NPY_CASTING (PyArrayMethod_ResolveDescriptorsWithScalar)( + struct PyArrayMethodObject_tag *method, + PyArray_DTypeMeta *const *dtypes, + /* Unlike above, these can have any DType and we may allow NULL. */ + PyArray_Descr *const *given_descrs, + /* + * Input scalars or NULL. Only ever passed for python scalars. + * WARNING: In some cases, a loop may be explicitly selected and the + * value passed is not available (NULL) or does not have the + * expected type. + */ + PyObject *const *input_scalars, + PyArray_Descr **loop_descrs, + npy_intp *view_offset); + + + +typedef int (PyArrayMethod_StridedLoop)(PyArrayMethod_Context *context, + char *const *data, const npy_intp *dimensions, const npy_intp *strides, + NpyAuxData *transferdata); + + +typedef int (PyArrayMethod_GetLoop)( + PyArrayMethod_Context *context, + int aligned, int move_references, + const npy_intp *strides, + PyArrayMethod_StridedLoop **out_loop, + NpyAuxData **out_transferdata, + NPY_ARRAYMETHOD_FLAGS *flags); + +/** + * Query an ArrayMethod for the initial value for use in reduction. + * + * @param context The arraymethod context, mainly to access the descriptors. + * @param reduction_is_empty Whether the reduction is empty. When it is, the + * value returned may differ. In this case it is a "default" value that + * may differ from the "identity" value normally used. For example: + * - `0.0` is the default for `sum([])`. But `-0.0` is the correct + * identity otherwise as it preserves the sign for `sum([-0.0])`. + * - We use no identity for object, but return the default of `0` and `1` + * for the empty `sum([], dtype=object)` and `prod([], dtype=object)`. + * This allows `np.sum(np.array(["a", "b"], dtype=object))` to work. + * - `-inf` or `INT_MIN` for `max` is an identity, but at least `INT_MIN` + * not a good *default* when there are no items. + * @param initial Pointer to initial data to be filled (if possible) + * + * @returns -1, 0, or 1 indicating error, no initial value, and initial being + * successfully filled. Errors must not be given where 0 is correct, NumPy + * may call this even when not strictly necessary. + */ +typedef int (PyArrayMethod_GetReductionInitial)( + PyArrayMethod_Context *context, npy_bool reduction_is_empty, + void *initial); + +/* + * The following functions are only used by the wrapping array method defined + * in umath/wrapping_array_method.c + */ + + +/* + * The function to convert the given descriptors (passed in to + * `resolve_descriptors`) and translates them for the wrapped loop. + * The new descriptors MUST be viewable with the old ones, `NULL` must be + * supported (for outputs) and should normally be forwarded. + * + * The function must clean up on error. + * + * NOTE: We currently assume that this translation gives "viewable" results. + * I.e. there is no additional casting related to the wrapping process. + * In principle that could be supported, but not sure it is useful. + * This currently also means that e.g. alignment must apply identically + * to the new dtypes. + * + * TODO: Due to the fact that `resolve_descriptors` is also used for `can_cast` + * there is no way to "pass out" the result of this function. This means + * it will be called twice for every ufunc call. + * (I am considering including `auxdata` as an "optional" parameter to + * `resolve_descriptors`, so that it can be filled there if not NULL.) + */ +typedef int (PyArrayMethod_TranslateGivenDescriptors)(int nin, int nout, + PyArray_DTypeMeta *const wrapped_dtypes[], + PyArray_Descr *const given_descrs[], PyArray_Descr *new_descrs[]); + +/** + * The function to convert the actual loop descriptors (as returned by the + * original `resolve_descriptors` function) to the ones the output array + * should use. + * This function must return "viewable" types, it must not mutate them in any + * form that would break the inner-loop logic. Does not need to support NULL. + * + * The function must clean up on error. + * + * @param nin Number of input arguments + * @param nout Number of output arguments + * @param new_dtypes The DTypes of the output (usually probably not needed) + * @param given_descrs Original given_descrs to the resolver, necessary to + * fetch any information related to the new dtypes from the original. + * @param original_descrs The `loop_descrs` returned by the wrapped loop. + * @param loop_descrs The output descriptors, compatible to `original_descrs`. + * + * @returns 0 on success, -1 on failure. + */ +typedef int (PyArrayMethod_TranslateLoopDescriptors)(int nin, int nout, + PyArray_DTypeMeta *const new_dtypes[], PyArray_Descr *const given_descrs[], + PyArray_Descr *original_descrs[], PyArray_Descr *loop_descrs[]); + + + +/* + * A traverse loop working on a single array. This is similar to the general + * strided-loop function. This is designed for loops that need to visit every + * element of a single array. + * + * Currently this is used for array clearing, via the NPY_DT_get_clear_loop + * API hook, and zero-filling, via the NPY_DT_get_fill_zero_loop API hook. + * These are most useful for handling arrays storing embedded references to + * python objects or heap-allocated data. + * + * The `void *traverse_context` is passed in because we may need to pass in + * Interpreter state or similar in the future, but we don't want to pass in + * a full context (with pointers to dtypes, method, caller which all make + * no sense for a traverse function). + * + * We assume for now that this context can be just passed through in the + * the future (for structured dtypes). + * + */ +typedef int (PyArrayMethod_TraverseLoop)( + void *traverse_context, const PyArray_Descr *descr, char *data, + npy_intp size, npy_intp stride, NpyAuxData *auxdata); + + +/* + * Simplified get_loop function specific to dtype traversal + * + * It should set the flags needed for the traversal loop and set out_loop to the + * loop function, which must be a valid PyArrayMethod_TraverseLoop + * pointer. Currently this is used for zero-filling and clearing arrays storing + * embedded references. + * + */ +typedef int (PyArrayMethod_GetTraverseLoop)( + void *traverse_context, const PyArray_Descr *descr, + int aligned, npy_intp fixed_stride, + PyArrayMethod_TraverseLoop **out_loop, NpyAuxData **out_auxdata, + NPY_ARRAYMETHOD_FLAGS *flags); + + +/* + * Type of the C promoter function, which must be wrapped into a + * PyCapsule with name "numpy._ufunc_promoter". + * + * Note that currently the output dtypes are always NULL unless they are + * also part of the signature. This is an implementation detail and could + * change in the future. However, in general promoters should not have a + * need for output dtypes. + * (There are potential use-cases, these are currently unsupported.) + */ +typedef int (PyArrayMethod_PromoterFunction)(PyObject *ufunc, + PyArray_DTypeMeta *const op_dtypes[], PyArray_DTypeMeta *const signature[], + PyArray_DTypeMeta *new_op_dtypes[]); + +/* + * **************************** + * DTYPE API + * **************************** + */ + +#define NPY_DT_ABSTRACT 1 << 1 +#define NPY_DT_PARAMETRIC 1 << 2 +#define NPY_DT_NUMERIC 1 << 3 + +/* + * These correspond to slots in the NPY_DType_Slots struct and must + * be in the same order as the members of that struct. If new slots + * get added or old slots get removed NPY_NUM_DTYPE_SLOTS must also + * be updated + */ + +#define NPY_DT_discover_descr_from_pyobject 1 +// this slot is considered private because its API hasn't been decided +#define _NPY_DT_is_known_scalar_type 2 +#define NPY_DT_default_descr 3 +#define NPY_DT_common_dtype 4 +#define NPY_DT_common_instance 5 +#define NPY_DT_ensure_canonical 6 +#define NPY_DT_setitem 7 +#define NPY_DT_getitem 8 +#define NPY_DT_get_clear_loop 9 +#define NPY_DT_get_fill_zero_loop 10 +#define NPY_DT_finalize_descr 11 + +// These PyArray_ArrFunc slots will be deprecated and replaced eventually +// getitem and setitem can be defined as a performance optimization; +// by default the user dtypes call `legacy_getitem_using_DType` and +// `legacy_setitem_using_DType`, respectively. This functionality is +// only supported for basic NumPy DTypes. + + +// used to separate dtype slots from arrfuncs slots +// intended only for internal use but defined here for clarity +#define _NPY_DT_ARRFUNCS_OFFSET (1 << 10) + +// Cast is disabled +// #define NPY_DT_PyArray_ArrFuncs_cast 0 + _NPY_DT_ARRFUNCS_OFFSET + +#define NPY_DT_PyArray_ArrFuncs_getitem 1 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_setitem 2 + _NPY_DT_ARRFUNCS_OFFSET + +// Copyswap is disabled +// #define NPY_DT_PyArray_ArrFuncs_copyswapn 3 + _NPY_DT_ARRFUNCS_OFFSET +// #define NPY_DT_PyArray_ArrFuncs_copyswap 4 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_compare 5 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_argmax 6 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_dotfunc 7 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_scanfunc 8 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_fromstr 9 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_nonzero 10 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_fill 11 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_fillwithscalar 12 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_sort 13 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_argsort 14 + _NPY_DT_ARRFUNCS_OFFSET + +// Casting related slots are disabled. See +// https://github.com/numpy/numpy/pull/23173#discussion_r1101098163 +// #define NPY_DT_PyArray_ArrFuncs_castdict 15 + _NPY_DT_ARRFUNCS_OFFSET +// #define NPY_DT_PyArray_ArrFuncs_scalarkind 16 + _NPY_DT_ARRFUNCS_OFFSET +// #define NPY_DT_PyArray_ArrFuncs_cancastscalarkindto 17 + _NPY_DT_ARRFUNCS_OFFSET +// #define NPY_DT_PyArray_ArrFuncs_cancastto 18 + _NPY_DT_ARRFUNCS_OFFSET + +// These are deprecated in NumPy 1.19, so are disabled here. +// #define NPY_DT_PyArray_ArrFuncs_fastclip 19 + _NPY_DT_ARRFUNCS_OFFSET +// #define NPY_DT_PyArray_ArrFuncs_fastputmask 20 + _NPY_DT_ARRFUNCS_OFFSET +// #define NPY_DT_PyArray_ArrFuncs_fasttake 21 + _NPY_DT_ARRFUNCS_OFFSET +#define NPY_DT_PyArray_ArrFuncs_argmin 22 + _NPY_DT_ARRFUNCS_OFFSET + + +// TODO: These slots probably still need some thought, and/or a way to "grow"? +typedef struct { + PyTypeObject *typeobj; /* type of python scalar or NULL */ + int flags; /* flags, including parametric and abstract */ + /* NULL terminated cast definitions. Use NULL for the newly created DType */ + PyArrayMethod_Spec **casts; + PyType_Slot *slots; + /* Baseclass or NULL (will always subclass `np.dtype`) */ + PyTypeObject *baseclass; +} PyArrayDTypeMeta_Spec; + + +typedef PyArray_Descr *(PyArrayDTypeMeta_DiscoverDescrFromPyobject)( + PyArray_DTypeMeta *cls, PyObject *obj); + +/* + * Before making this public, we should decide whether it should pass + * the type, or allow looking at the object. A possible use-case: + * `np.array(np.array([0]), dtype=np.ndarray)` + * Could consider arrays that are not `dtype=ndarray` "scalars". + */ +typedef int (PyArrayDTypeMeta_IsKnownScalarType)( + PyArray_DTypeMeta *cls, PyTypeObject *obj); + +typedef PyArray_Descr *(PyArrayDTypeMeta_DefaultDescriptor)(PyArray_DTypeMeta *cls); +typedef PyArray_DTypeMeta *(PyArrayDTypeMeta_CommonDType)( + PyArray_DTypeMeta *dtype1, PyArray_DTypeMeta *dtype2); + + +/* + * Convenience utility for getting a reference to the DType metaclass associated + * with a dtype instance. + */ +#define NPY_DTYPE(descr) ((PyArray_DTypeMeta *)Py_TYPE(descr)) + +static inline PyArray_DTypeMeta * +NPY_DT_NewRef(PyArray_DTypeMeta *o) { + Py_INCREF((PyObject *)o); + return o; +} + + +typedef PyArray_Descr *(PyArrayDTypeMeta_CommonInstance)( + PyArray_Descr *dtype1, PyArray_Descr *dtype2); +typedef PyArray_Descr *(PyArrayDTypeMeta_EnsureCanonical)(PyArray_Descr *dtype); +/* + * Returns either a new reference to *dtype* or a new descriptor instance + * initialized with the same parameters as *dtype*. The caller cannot know + * which choice a dtype will make. This function is called just before the + * array buffer is created for a newly created array, it is not called for + * views and the descriptor returned by this function is attached to the array. + */ +typedef PyArray_Descr *(PyArrayDTypeMeta_FinalizeDescriptor)(PyArray_Descr *dtype); + +/* + * TODO: These two functions are currently only used for experimental DType + * API support. Their relation should be "reversed": NumPy should + * always use them internally. + * There are open points about "casting safety" though, e.g. setting + * elements is currently always unsafe. + */ +typedef int(PyArrayDTypeMeta_SetItem)(PyArray_Descr *, PyObject *, char *); +typedef PyObject *(PyArrayDTypeMeta_GetItem)(PyArray_Descr *, char *); + +#endif /* NUMPY_CORE_INCLUDE_NUMPY___DTYPE_API_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/halffloat.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/halffloat.h new file mode 100644 index 0000000000000000000000000000000000000000..950401664e101d17ce5461ecb21c7d3bdf824f42 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/halffloat.h @@ -0,0 +1,70 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_HALFFLOAT_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_HALFFLOAT_H_ + +#include +#include + +#ifdef __cplusplus +extern "C" { +#endif + +/* + * Half-precision routines + */ + +/* Conversions */ +float npy_half_to_float(npy_half h); +double npy_half_to_double(npy_half h); +npy_half npy_float_to_half(float f); +npy_half npy_double_to_half(double d); +/* Comparisons */ +int npy_half_eq(npy_half h1, npy_half h2); +int npy_half_ne(npy_half h1, npy_half h2); +int npy_half_le(npy_half h1, npy_half h2); +int npy_half_lt(npy_half h1, npy_half h2); +int npy_half_ge(npy_half h1, npy_half h2); +int npy_half_gt(npy_half h1, npy_half h2); +/* faster *_nonan variants for when you know h1 and h2 are not NaN */ +int npy_half_eq_nonan(npy_half h1, npy_half h2); +int npy_half_lt_nonan(npy_half h1, npy_half h2); +int npy_half_le_nonan(npy_half h1, npy_half h2); +/* Miscellaneous functions */ +int npy_half_iszero(npy_half h); +int npy_half_isnan(npy_half h); +int npy_half_isinf(npy_half h); +int npy_half_isfinite(npy_half h); +int npy_half_signbit(npy_half h); +npy_half npy_half_copysign(npy_half x, npy_half y); +npy_half npy_half_spacing(npy_half h); +npy_half npy_half_nextafter(npy_half x, npy_half y); +npy_half npy_half_divmod(npy_half x, npy_half y, npy_half *modulus); + +/* + * Half-precision constants + */ + +#define NPY_HALF_ZERO (0x0000u) +#define NPY_HALF_PZERO (0x0000u) +#define NPY_HALF_NZERO (0x8000u) +#define NPY_HALF_ONE (0x3c00u) +#define NPY_HALF_NEGONE (0xbc00u) +#define NPY_HALF_PINF (0x7c00u) +#define NPY_HALF_NINF (0xfc00u) +#define NPY_HALF_NAN (0x7e00u) + +#define NPY_MAX_HALF (0x7bffu) + +/* + * Bit-level conversions + */ + +npy_uint16 npy_floatbits_to_halfbits(npy_uint32 f); +npy_uint16 npy_doublebits_to_halfbits(npy_uint64 d); +npy_uint32 npy_halfbits_to_floatbits(npy_uint16 h); +npy_uint64 npy_halfbits_to_doublebits(npy_uint16 h); + +#ifdef __cplusplus +} +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_HALFFLOAT_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ndarrayobject.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ndarrayobject.h new file mode 100644 index 0000000000000000000000000000000000000000..f06bafe5b52a4ab930c2aad0c45d95d0b6d8104b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ndarrayobject.h @@ -0,0 +1,304 @@ +/* + * DON'T INCLUDE THIS DIRECTLY. + */ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NDARRAYOBJECT_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NDARRAYOBJECT_H_ + +#ifdef __cplusplus +extern "C" { +#endif + +#include +#include "ndarraytypes.h" +#include "dtype_api.h" + +/* Includes the "function" C-API -- these are all stored in a + list of pointers --- one for each file + The two lists are concatenated into one in multiarray. + + They are available as import_array() +*/ + +#include "__multiarray_api.h" + +/* + * Include any definitions which are defined differently for 1.x and 2.x + * (Symbols only available on 2.x are not there, but rather guarded.) + */ +#include "npy_2_compat.h" + +/* C-API that requires previous API to be defined */ + +#define PyArray_DescrCheck(op) PyObject_TypeCheck(op, &PyArrayDescr_Type) + +#define PyArray_Check(op) PyObject_TypeCheck(op, &PyArray_Type) +#define PyArray_CheckExact(op) (((PyObject*)(op))->ob_type == &PyArray_Type) + +#define PyArray_HasArrayInterfaceType(op, type, context, out) \ + ((((out)=PyArray_FromStructInterface(op)) != Py_NotImplemented) || \ + (((out)=PyArray_FromInterface(op)) != Py_NotImplemented) || \ + (((out)=PyArray_FromArrayAttr(op, type, context)) != \ + Py_NotImplemented)) + +#define PyArray_HasArrayInterface(op, out) \ + PyArray_HasArrayInterfaceType(op, NULL, NULL, out) + +#define PyArray_IsZeroDim(op) (PyArray_Check(op) && \ + (PyArray_NDIM((PyArrayObject *)op) == 0)) + +#define PyArray_IsScalar(obj, cls) \ + (PyObject_TypeCheck(obj, &Py##cls##ArrType_Type)) + +#define PyArray_CheckScalar(m) (PyArray_IsScalar(m, Generic) || \ + PyArray_IsZeroDim(m)) +#define PyArray_IsPythonNumber(obj) \ + (PyFloat_Check(obj) || PyComplex_Check(obj) || \ + PyLong_Check(obj) || PyBool_Check(obj)) +#define PyArray_IsIntegerScalar(obj) (PyLong_Check(obj) \ + || PyArray_IsScalar((obj), Integer)) +#define PyArray_IsPythonScalar(obj) \ + (PyArray_IsPythonNumber(obj) || PyBytes_Check(obj) || \ + PyUnicode_Check(obj)) + +#define PyArray_IsAnyScalar(obj) \ + (PyArray_IsScalar(obj, Generic) || PyArray_IsPythonScalar(obj)) + +#define PyArray_CheckAnyScalar(obj) (PyArray_IsPythonScalar(obj) || \ + PyArray_CheckScalar(obj)) + + +#define PyArray_GETCONTIGUOUS(m) (PyArray_ISCONTIGUOUS(m) ? \ + Py_INCREF(m), (m) : \ + (PyArrayObject *)(PyArray_Copy(m))) + +#define PyArray_SAMESHAPE(a1,a2) ((PyArray_NDIM(a1) == PyArray_NDIM(a2)) && \ + PyArray_CompareLists(PyArray_DIMS(a1), \ + PyArray_DIMS(a2), \ + PyArray_NDIM(a1))) + +#define PyArray_SIZE(m) PyArray_MultiplyList(PyArray_DIMS(m), PyArray_NDIM(m)) +#define PyArray_NBYTES(m) (PyArray_ITEMSIZE(m) * PyArray_SIZE(m)) +#define PyArray_FROM_O(m) PyArray_FromAny(m, NULL, 0, 0, 0, NULL) + +#define PyArray_FROM_OF(m,flags) PyArray_CheckFromAny(m, NULL, 0, 0, flags, \ + NULL) + +#define PyArray_FROM_OT(m,type) PyArray_FromAny(m, \ + PyArray_DescrFromType(type), 0, 0, 0, NULL) + +#define PyArray_FROM_OTF(m, type, flags) \ + PyArray_FromAny(m, PyArray_DescrFromType(type), 0, 0, \ + (((flags) & NPY_ARRAY_ENSURECOPY) ? \ + ((flags) | NPY_ARRAY_DEFAULT) : (flags)), NULL) + +#define PyArray_FROMANY(m, type, min, max, flags) \ + PyArray_FromAny(m, PyArray_DescrFromType(type), min, max, \ + (((flags) & NPY_ARRAY_ENSURECOPY) ? \ + (flags) | NPY_ARRAY_DEFAULT : (flags)), NULL) + +#define PyArray_ZEROS(m, dims, type, is_f_order) \ + PyArray_Zeros(m, dims, PyArray_DescrFromType(type), is_f_order) + +#define PyArray_EMPTY(m, dims, type, is_f_order) \ + PyArray_Empty(m, dims, PyArray_DescrFromType(type), is_f_order) + +#define PyArray_FILLWBYTE(obj, val) memset(PyArray_DATA(obj), val, \ + PyArray_NBYTES(obj)) + +#define PyArray_ContiguousFromAny(op, type, min_depth, max_depth) \ + PyArray_FromAny(op, PyArray_DescrFromType(type), min_depth, \ + max_depth, NPY_ARRAY_DEFAULT, NULL) + +#define PyArray_EquivArrTypes(a1, a2) \ + PyArray_EquivTypes(PyArray_DESCR(a1), PyArray_DESCR(a2)) + +#define PyArray_EquivByteorders(b1, b2) \ + (((b1) == (b2)) || (PyArray_ISNBO(b1) == PyArray_ISNBO(b2))) + +#define PyArray_SimpleNew(nd, dims, typenum) \ + PyArray_New(&PyArray_Type, nd, dims, typenum, NULL, NULL, 0, 0, NULL) + +#define PyArray_SimpleNewFromData(nd, dims, typenum, data) \ + PyArray_New(&PyArray_Type, nd, dims, typenum, NULL, \ + data, 0, NPY_ARRAY_CARRAY, NULL) + +#define PyArray_SimpleNewFromDescr(nd, dims, descr) \ + PyArray_NewFromDescr(&PyArray_Type, descr, nd, dims, \ + NULL, NULL, 0, NULL) + +#define PyArray_ToScalar(data, arr) \ + PyArray_Scalar(data, PyArray_DESCR(arr), (PyObject *)arr) + + +/* These might be faster without the dereferencing of obj + going on inside -- of course an optimizing compiler should + inline the constants inside a for loop making it a moot point +*/ + +#define PyArray_GETPTR1(obj, i) ((void *)(PyArray_BYTES(obj) + \ + (i)*PyArray_STRIDES(obj)[0])) + +#define PyArray_GETPTR2(obj, i, j) ((void *)(PyArray_BYTES(obj) + \ + (i)*PyArray_STRIDES(obj)[0] + \ + (j)*PyArray_STRIDES(obj)[1])) + +#define PyArray_GETPTR3(obj, i, j, k) ((void *)(PyArray_BYTES(obj) + \ + (i)*PyArray_STRIDES(obj)[0] + \ + (j)*PyArray_STRIDES(obj)[1] + \ + (k)*PyArray_STRIDES(obj)[2])) + +#define PyArray_GETPTR4(obj, i, j, k, l) ((void *)(PyArray_BYTES(obj) + \ + (i)*PyArray_STRIDES(obj)[0] + \ + (j)*PyArray_STRIDES(obj)[1] + \ + (k)*PyArray_STRIDES(obj)[2] + \ + (l)*PyArray_STRIDES(obj)[3])) + +static inline void +PyArray_DiscardWritebackIfCopy(PyArrayObject *arr) +{ + PyArrayObject_fields *fa = (PyArrayObject_fields *)arr; + if (fa && fa->base) { + if (fa->flags & NPY_ARRAY_WRITEBACKIFCOPY) { + PyArray_ENABLEFLAGS((PyArrayObject*)fa->base, NPY_ARRAY_WRITEABLE); + Py_DECREF(fa->base); + fa->base = NULL; + PyArray_CLEARFLAGS(arr, NPY_ARRAY_WRITEBACKIFCOPY); + } + } +} + +#define PyArray_DESCR_REPLACE(descr) do { \ + PyArray_Descr *_new_; \ + _new_ = PyArray_DescrNew(descr); \ + Py_XDECREF(descr); \ + descr = _new_; \ + } while(0) + +/* Copy should always return contiguous array */ +#define PyArray_Copy(obj) PyArray_NewCopy(obj, NPY_CORDER) + +#define PyArray_FromObject(op, type, min_depth, max_depth) \ + PyArray_FromAny(op, PyArray_DescrFromType(type), min_depth, \ + max_depth, NPY_ARRAY_BEHAVED | \ + NPY_ARRAY_ENSUREARRAY, NULL) + +#define PyArray_ContiguousFromObject(op, type, min_depth, max_depth) \ + PyArray_FromAny(op, PyArray_DescrFromType(type), min_depth, \ + max_depth, NPY_ARRAY_DEFAULT | \ + NPY_ARRAY_ENSUREARRAY, NULL) + +#define PyArray_CopyFromObject(op, type, min_depth, max_depth) \ + PyArray_FromAny(op, PyArray_DescrFromType(type), min_depth, \ + max_depth, NPY_ARRAY_ENSURECOPY | \ + NPY_ARRAY_DEFAULT | \ + NPY_ARRAY_ENSUREARRAY, NULL) + +#define PyArray_Cast(mp, type_num) \ + PyArray_CastToType(mp, PyArray_DescrFromType(type_num), 0) + +#define PyArray_Take(ap, items, axis) \ + PyArray_TakeFrom(ap, items, axis, NULL, NPY_RAISE) + +#define PyArray_Put(ap, items, values) \ + PyArray_PutTo(ap, items, values, NPY_RAISE) + + +/* + Check to see if this key in the dictionary is the "title" + entry of the tuple (i.e. a duplicate dictionary entry in the fields + dict). +*/ + +static inline int +NPY_TITLE_KEY_check(PyObject *key, PyObject *value) +{ + PyObject *title; + if (PyTuple_Size(value) != 3) { + return 0; + } + title = PyTuple_GetItem(value, 2); + if (key == title) { + return 1; + } +#ifdef PYPY_VERSION + /* + * On PyPy, dictionary keys do not always preserve object identity. + * Fall back to comparison by value. + */ + if (PyUnicode_Check(title) && PyUnicode_Check(key)) { + return PyUnicode_Compare(title, key) == 0 ? 1 : 0; + } +#endif + return 0; +} + +/* Macro, for backward compat with "if NPY_TITLE_KEY(key, value) { ..." */ +#define NPY_TITLE_KEY(key, value) (NPY_TITLE_KEY_check((key), (value))) + +#define DEPRECATE(msg) PyErr_WarnEx(PyExc_DeprecationWarning,msg,1) +#define DEPRECATE_FUTUREWARNING(msg) PyErr_WarnEx(PyExc_FutureWarning,msg,1) + + +/* + * These macros and functions unfortunately require runtime version checks + * that are only defined in `npy_2_compat.h`. For that reasons they cannot be + * part of `ndarraytypes.h` which tries to be self contained. + */ + +static inline npy_intp +PyArray_ITEMSIZE(const PyArrayObject *arr) +{ + return PyDataType_ELSIZE(((PyArrayObject_fields *)arr)->descr); +} + +#define PyDataType_HASFIELDS(obj) (PyDataType_ISLEGACY((PyArray_Descr*)(obj)) && PyDataType_NAMES((PyArray_Descr*)(obj)) != NULL) +#define PyDataType_HASSUBARRAY(dtype) (PyDataType_ISLEGACY(dtype) && PyDataType_SUBARRAY(dtype) != NULL) +#define PyDataType_ISUNSIZED(dtype) ((dtype)->elsize == 0 && \ + !PyDataType_HASFIELDS(dtype)) + +#define PyDataType_FLAGCHK(dtype, flag) \ + ((PyDataType_FLAGS(dtype) & (flag)) == (flag)) + +#define PyDataType_REFCHK(dtype) \ + PyDataType_FLAGCHK(dtype, NPY_ITEM_REFCOUNT) + +#define NPY_BEGIN_THREADS_DESCR(dtype) \ + do {if (!(PyDataType_FLAGCHK((dtype), NPY_NEEDS_PYAPI))) \ + NPY_BEGIN_THREADS;} while (0); + +#define NPY_END_THREADS_DESCR(dtype) \ + do {if (!(PyDataType_FLAGCHK((dtype), NPY_NEEDS_PYAPI))) \ + NPY_END_THREADS; } while (0); + +#if !(defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD) +/* The internal copy of this is now defined in `dtypemeta.h` */ +/* + * `PyArray_Scalar` is the same as this function but converts will convert + * most NumPy types to Python scalars. + */ +static inline PyObject * +PyArray_GETITEM(const PyArrayObject *arr, const char *itemptr) +{ + return PyDataType_GetArrFuncs(((PyArrayObject_fields *)arr)->descr)->getitem( + (void *)itemptr, (PyArrayObject *)arr); +} + +/* + * SETITEM should only be used if it is known that the value is a scalar + * and of a type understood by the arrays dtype. + * Use `PyArray_Pack` if the value may be of a different dtype. + */ +static inline int +PyArray_SETITEM(PyArrayObject *arr, char *itemptr, PyObject *v) +{ + return PyDataType_GetArrFuncs(((PyArrayObject_fields *)arr)->descr)->setitem(v, itemptr, arr); +} +#endif /* not internal */ + + +#ifdef __cplusplus +} +#endif + + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NDARRAYOBJECT_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ndarraytypes.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ndarraytypes.h new file mode 100644 index 0000000000000000000000000000000000000000..37788a74557f4361f78d611470ffe9318f3c8752 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ndarraytypes.h @@ -0,0 +1,1933 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NDARRAYTYPES_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NDARRAYTYPES_H_ + +#include "npy_common.h" +#include "npy_endian.h" +#include "npy_cpu.h" +#include "utils.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#define NPY_NO_EXPORT NPY_VISIBILITY_HIDDEN + +/* Always allow threading unless it was explicitly disabled at build time */ +#if !NPY_NO_SMP + #define NPY_ALLOW_THREADS 1 +#else + #define NPY_ALLOW_THREADS 0 +#endif + +#ifndef __has_extension +#define __has_extension(x) 0 +#endif + +/* + * There are several places in the code where an array of dimensions + * is allocated statically. This is the size of that static + * allocation. + * + * The array creation itself could have arbitrary dimensions but all + * the places where static allocation is used would need to be changed + * to dynamic (including inside of several structures) + * + * As of NumPy 2.0, we strongly discourage the downstream use of NPY_MAXDIMS, + * but since auditing everything seems a big ask, define it as 64. + * A future version could: + * - Increase or remove the limit and require recompilation (like 2.0 did) + * - Deprecate or remove the macro but keep the limit (at basically any time) + */ +#define NPY_MAXDIMS 64 +/* We cannot change this as it would break ABI: */ +#define NPY_MAXDIMS_LEGACY_ITERS 32 +/* NPY_MAXARGS is version dependent and defined in npy_2_compat.h */ + +/* Used for Converter Functions "O&" code in ParseTuple */ +#define NPY_FAIL 0 +#define NPY_SUCCEED 1 + + +enum NPY_TYPES { NPY_BOOL=0, + NPY_BYTE, NPY_UBYTE, + NPY_SHORT, NPY_USHORT, + NPY_INT, NPY_UINT, + NPY_LONG, NPY_ULONG, + NPY_LONGLONG, NPY_ULONGLONG, + NPY_FLOAT, NPY_DOUBLE, NPY_LONGDOUBLE, + NPY_CFLOAT, NPY_CDOUBLE, NPY_CLONGDOUBLE, + NPY_OBJECT=17, + NPY_STRING, NPY_UNICODE, + NPY_VOID, + /* + * New 1.6 types appended, may be integrated + * into the above in 2.0. + */ + NPY_DATETIME, NPY_TIMEDELTA, NPY_HALF, + + NPY_CHAR, /* Deprecated, will raise if used */ + + /* The number of *legacy* dtypes */ + NPY_NTYPES_LEGACY=24, + + /* assign a high value to avoid changing this in the + future when new dtypes are added */ + NPY_NOTYPE=25, + + NPY_USERDEF=256, /* leave room for characters */ + + /* The number of types not including the new 1.6 types */ + NPY_NTYPES_ABI_COMPATIBLE=21, + + /* + * New DTypes which do not share the legacy layout + * (added after NumPy 2.0). VSTRING is the first of these + * we may open up a block for user-defined dtypes in the + * future. + */ + NPY_VSTRING=2056, +}; + + +/* basetype array priority */ +#define NPY_PRIORITY 0.0 + +/* default subtype priority */ +#define NPY_SUBTYPE_PRIORITY 1.0 + +/* default scalar priority */ +#define NPY_SCALAR_PRIORITY -1000000.0 + +/* How many floating point types are there (excluding half) */ +#define NPY_NUM_FLOATTYPE 3 + +/* + * These characters correspond to the array type and the struct + * module + */ + +enum NPY_TYPECHAR { + NPY_BOOLLTR = '?', + NPY_BYTELTR = 'b', + NPY_UBYTELTR = 'B', + NPY_SHORTLTR = 'h', + NPY_USHORTLTR = 'H', + NPY_INTLTR = 'i', + NPY_UINTLTR = 'I', + NPY_LONGLTR = 'l', + NPY_ULONGLTR = 'L', + NPY_LONGLONGLTR = 'q', + NPY_ULONGLONGLTR = 'Q', + NPY_HALFLTR = 'e', + NPY_FLOATLTR = 'f', + NPY_DOUBLELTR = 'd', + NPY_LONGDOUBLELTR = 'g', + NPY_CFLOATLTR = 'F', + NPY_CDOUBLELTR = 'D', + NPY_CLONGDOUBLELTR = 'G', + NPY_OBJECTLTR = 'O', + NPY_STRINGLTR = 'S', + NPY_DEPRECATED_STRINGLTR2 = 'a', + NPY_UNICODELTR = 'U', + NPY_VOIDLTR = 'V', + NPY_DATETIMELTR = 'M', + NPY_TIMEDELTALTR = 'm', + NPY_CHARLTR = 'c', + + /* + * New non-legacy DTypes + */ + NPY_VSTRINGLTR = 'T', + + /* + * Note, we removed `NPY_INTPLTR` due to changing its definition + * to 'n', rather than 'p'. On any typical platform this is the + * same integer. 'n' should be used for the `np.intp` with the same + * size as `size_t` while 'p' remains pointer sized. + * + * 'p', 'P', 'n', and 'N' are valid and defined explicitly + * in `arraytypes.c.src`. + */ + + /* + * These are for dtype 'kinds', not dtype 'typecodes' + * as the above are for. + */ + NPY_GENBOOLLTR ='b', + NPY_SIGNEDLTR = 'i', + NPY_UNSIGNEDLTR = 'u', + NPY_FLOATINGLTR = 'f', + NPY_COMPLEXLTR = 'c', + +}; + +/* + * Changing this may break Numpy API compatibility + * due to changing offsets in PyArray_ArrFuncs, so be + * careful. Here we have reused the mergesort slot for + * any kind of stable sort, the actual implementation will + * depend on the data type. + */ +typedef enum { + _NPY_SORT_UNDEFINED=-1, + NPY_QUICKSORT=0, + NPY_HEAPSORT=1, + NPY_MERGESORT=2, + NPY_STABLESORT=2, +} NPY_SORTKIND; +#define NPY_NSORTS (NPY_STABLESORT + 1) + + +typedef enum { + NPY_INTROSELECT=0 +} NPY_SELECTKIND; +#define NPY_NSELECTS (NPY_INTROSELECT + 1) + + +typedef enum { + NPY_SEARCHLEFT=0, + NPY_SEARCHRIGHT=1 +} NPY_SEARCHSIDE; +#define NPY_NSEARCHSIDES (NPY_SEARCHRIGHT + 1) + + +typedef enum { + NPY_NOSCALAR=-1, + NPY_BOOL_SCALAR, + NPY_INTPOS_SCALAR, + NPY_INTNEG_SCALAR, + NPY_FLOAT_SCALAR, + NPY_COMPLEX_SCALAR, + NPY_OBJECT_SCALAR +} NPY_SCALARKIND; +#define NPY_NSCALARKINDS (NPY_OBJECT_SCALAR + 1) + +/* For specifying array memory layout or iteration order */ +typedef enum { + /* Fortran order if inputs are all Fortran, C otherwise */ + NPY_ANYORDER=-1, + /* C order */ + NPY_CORDER=0, + /* Fortran order */ + NPY_FORTRANORDER=1, + /* An order as close to the inputs as possible */ + NPY_KEEPORDER=2 +} NPY_ORDER; + +/* For specifying allowed casting in operations which support it */ +typedef enum { + _NPY_ERROR_OCCURRED_IN_CAST = -1, + /* Only allow identical types */ + NPY_NO_CASTING=0, + /* Allow identical and byte swapped types */ + NPY_EQUIV_CASTING=1, + /* Only allow safe casts */ + NPY_SAFE_CASTING=2, + /* Allow safe casts or casts within the same kind */ + NPY_SAME_KIND_CASTING=3, + /* Allow any casts */ + NPY_UNSAFE_CASTING=4, +} NPY_CASTING; + +typedef enum { + NPY_CLIP=0, + NPY_WRAP=1, + NPY_RAISE=2 +} NPY_CLIPMODE; + +typedef enum { + NPY_VALID=0, + NPY_SAME=1, + NPY_FULL=2 +} NPY_CORRELATEMODE; + +/* The special not-a-time (NaT) value */ +#define NPY_DATETIME_NAT NPY_MIN_INT64 + +/* + * Upper bound on the length of a DATETIME ISO 8601 string + * YEAR: 21 (64-bit year) + * MONTH: 3 + * DAY: 3 + * HOURS: 3 + * MINUTES: 3 + * SECONDS: 3 + * ATTOSECONDS: 1 + 3*6 + * TIMEZONE: 5 + * NULL TERMINATOR: 1 + */ +#define NPY_DATETIME_MAX_ISO8601_STRLEN (21 + 3*5 + 1 + 3*6 + 6 + 1) + +/* The FR in the unit names stands for frequency */ +typedef enum { + /* Force signed enum type, must be -1 for code compatibility */ + NPY_FR_ERROR = -1, /* error or undetermined */ + + /* Start of valid units */ + NPY_FR_Y = 0, /* Years */ + NPY_FR_M = 1, /* Months */ + NPY_FR_W = 2, /* Weeks */ + /* Gap where 1.6 NPY_FR_B (value 3) was */ + NPY_FR_D = 4, /* Days */ + NPY_FR_h = 5, /* hours */ + NPY_FR_m = 6, /* minutes */ + NPY_FR_s = 7, /* seconds */ + NPY_FR_ms = 8, /* milliseconds */ + NPY_FR_us = 9, /* microseconds */ + NPY_FR_ns = 10, /* nanoseconds */ + NPY_FR_ps = 11, /* picoseconds */ + NPY_FR_fs = 12, /* femtoseconds */ + NPY_FR_as = 13, /* attoseconds */ + NPY_FR_GENERIC = 14 /* unbound units, can convert to anything */ +} NPY_DATETIMEUNIT; + +/* + * NOTE: With the NPY_FR_B gap for 1.6 ABI compatibility, NPY_DATETIME_NUMUNITS + * is technically one more than the actual number of units. + */ +#define NPY_DATETIME_NUMUNITS (NPY_FR_GENERIC + 1) +#define NPY_DATETIME_DEFAULTUNIT NPY_FR_GENERIC + +/* + * Business day conventions for mapping invalid business + * days to valid business days. + */ +typedef enum { + /* Go forward in time to the following business day. */ + NPY_BUSDAY_FORWARD, + NPY_BUSDAY_FOLLOWING = NPY_BUSDAY_FORWARD, + /* Go backward in time to the preceding business day. */ + NPY_BUSDAY_BACKWARD, + NPY_BUSDAY_PRECEDING = NPY_BUSDAY_BACKWARD, + /* + * Go forward in time to the following business day, unless it + * crosses a month boundary, in which case go backward + */ + NPY_BUSDAY_MODIFIEDFOLLOWING, + /* + * Go backward in time to the preceding business day, unless it + * crosses a month boundary, in which case go forward. + */ + NPY_BUSDAY_MODIFIEDPRECEDING, + /* Produce a NaT for non-business days. */ + NPY_BUSDAY_NAT, + /* Raise an exception for non-business days. */ + NPY_BUSDAY_RAISE +} NPY_BUSDAY_ROLL; + + +/************************************************************ + * NumPy Auxiliary Data for inner loops, sort functions, etc. + ************************************************************/ + +/* + * When creating an auxiliary data struct, this should always appear + * as the first member, like this: + * + * typedef struct { + * NpyAuxData base; + * double constant; + * } constant_multiplier_aux_data; + */ +typedef struct NpyAuxData_tag NpyAuxData; + +/* Function pointers for freeing or cloning auxiliary data */ +typedef void (NpyAuxData_FreeFunc) (NpyAuxData *); +typedef NpyAuxData *(NpyAuxData_CloneFunc) (NpyAuxData *); + +struct NpyAuxData_tag { + NpyAuxData_FreeFunc *free; + NpyAuxData_CloneFunc *clone; + /* To allow for a bit of expansion without breaking the ABI */ + void *reserved[2]; +}; + +/* Macros to use for freeing and cloning auxiliary data */ +#define NPY_AUXDATA_FREE(auxdata) \ + do { \ + if ((auxdata) != NULL) { \ + (auxdata)->free(auxdata); \ + } \ + } while(0) +#define NPY_AUXDATA_CLONE(auxdata) \ + ((auxdata)->clone(auxdata)) + +#define NPY_ERR(str) fprintf(stderr, #str); fflush(stderr); +#define NPY_ERR2(str) fprintf(stderr, str); fflush(stderr); + +/* +* Macros to define how array, and dimension/strides data is +* allocated. These should be made private +*/ + +#define NPY_USE_PYMEM 1 + + +#if NPY_USE_PYMEM == 1 +/* use the Raw versions which are safe to call with the GIL released */ +#define PyArray_malloc PyMem_RawMalloc +#define PyArray_free PyMem_RawFree +#define PyArray_realloc PyMem_RawRealloc +#else +#define PyArray_malloc malloc +#define PyArray_free free +#define PyArray_realloc realloc +#endif + +/* Dimensions and strides */ +#define PyDimMem_NEW(size) \ + ((npy_intp *)PyArray_malloc(size*sizeof(npy_intp))) + +#define PyDimMem_FREE(ptr) PyArray_free(ptr) + +#define PyDimMem_RENEW(ptr,size) \ + ((npy_intp *)PyArray_realloc(ptr,size*sizeof(npy_intp))) + +/* forward declaration */ +struct _PyArray_Descr; + +/* These must deal with unaligned and swapped data if necessary */ +typedef PyObject * (PyArray_GetItemFunc) (void *, void *); +typedef int (PyArray_SetItemFunc)(PyObject *, void *, void *); + +typedef void (PyArray_CopySwapNFunc)(void *, npy_intp, void *, npy_intp, + npy_intp, int, void *); + +typedef void (PyArray_CopySwapFunc)(void *, void *, int, void *); +typedef npy_bool (PyArray_NonzeroFunc)(void *, void *); + + +/* + * These assume aligned and notswapped data -- a buffer will be used + * before or contiguous data will be obtained + */ + +typedef int (PyArray_CompareFunc)(const void *, const void *, void *); +typedef int (PyArray_ArgFunc)(void*, npy_intp, npy_intp*, void *); + +typedef void (PyArray_DotFunc)(void *, npy_intp, void *, npy_intp, void *, + npy_intp, void *); + +typedef void (PyArray_VectorUnaryFunc)(void *, void *, npy_intp, void *, + void *); + +/* + * XXX the ignore argument should be removed next time the API version + * is bumped. It used to be the separator. + */ +typedef int (PyArray_ScanFunc)(FILE *fp, void *dptr, + char *ignore, struct _PyArray_Descr *); +typedef int (PyArray_FromStrFunc)(char *s, void *dptr, char **endptr, + struct _PyArray_Descr *); + +typedef int (PyArray_FillFunc)(void *, npy_intp, void *); + +typedef int (PyArray_SortFunc)(void *, npy_intp, void *); +typedef int (PyArray_ArgSortFunc)(void *, npy_intp *, npy_intp, void *); + +typedef int (PyArray_FillWithScalarFunc)(void *, npy_intp, void *, void *); + +typedef int (PyArray_ScalarKindFunc)(void *); + +typedef struct { + npy_intp *ptr; + int len; +} PyArray_Dims; + +typedef struct { + /* + * Functions to cast to most other standard types + * Can have some NULL entries. The types + * DATETIME, TIMEDELTA, and HALF go into the castdict + * even though they are built-in. + */ + PyArray_VectorUnaryFunc *cast[NPY_NTYPES_ABI_COMPATIBLE]; + + /* The next four functions *cannot* be NULL */ + + /* + * Functions to get and set items with standard Python types + * -- not array scalars + */ + PyArray_GetItemFunc *getitem; + PyArray_SetItemFunc *setitem; + + /* + * Copy and/or swap data. Memory areas may not overlap + * Use memmove first if they might + */ + PyArray_CopySwapNFunc *copyswapn; + PyArray_CopySwapFunc *copyswap; + + /* + * Function to compare items + * Can be NULL + */ + PyArray_CompareFunc *compare; + + /* + * Function to select largest + * Can be NULL + */ + PyArray_ArgFunc *argmax; + + /* + * Function to compute dot product + * Can be NULL + */ + PyArray_DotFunc *dotfunc; + + /* + * Function to scan an ASCII file and + * place a single value plus possible separator + * Can be NULL + */ + PyArray_ScanFunc *scanfunc; + + /* + * Function to read a single value from a string + * and adjust the pointer; Can be NULL + */ + PyArray_FromStrFunc *fromstr; + + /* + * Function to determine if data is zero or not + * If NULL a default version is + * used at Registration time. + */ + PyArray_NonzeroFunc *nonzero; + + /* + * Used for arange. Should return 0 on success + * and -1 on failure. + * Can be NULL. + */ + PyArray_FillFunc *fill; + + /* + * Function to fill arrays with scalar values + * Can be NULL + */ + PyArray_FillWithScalarFunc *fillwithscalar; + + /* + * Sorting functions + * Can be NULL + */ + PyArray_SortFunc *sort[NPY_NSORTS]; + PyArray_ArgSortFunc *argsort[NPY_NSORTS]; + + /* + * Dictionary of additional casting functions + * PyArray_VectorUnaryFuncs + * which can be populated to support casting + * to other registered types. Can be NULL + */ + PyObject *castdict; + + /* + * Functions useful for generalizing + * the casting rules. + * Can be NULL; + */ + PyArray_ScalarKindFunc *scalarkind; + int **cancastscalarkindto; + int *cancastto; + + void *_unused1; + void *_unused2; + void *_unused3; + + /* + * Function to select smallest + * Can be NULL + */ + PyArray_ArgFunc *argmin; + +} PyArray_ArrFuncs; + + +/* The item must be reference counted when it is inserted or extracted. */ +#define NPY_ITEM_REFCOUNT 0x01 +/* Same as needing REFCOUNT */ +#define NPY_ITEM_HASOBJECT 0x01 +/* Convert to list for pickling */ +#define NPY_LIST_PICKLE 0x02 +/* The item is a POINTER */ +#define NPY_ITEM_IS_POINTER 0x04 +/* memory needs to be initialized for this data-type */ +#define NPY_NEEDS_INIT 0x08 +/* operations need Python C-API so don't give-up thread. */ +#define NPY_NEEDS_PYAPI 0x10 +/* Use f.getitem when extracting elements of this data-type */ +#define NPY_USE_GETITEM 0x20 +/* Use f.setitem when setting creating 0-d array from this data-type.*/ +#define NPY_USE_SETITEM 0x40 +/* A sticky flag specifically for structured arrays */ +#define NPY_ALIGNED_STRUCT 0x80 + +/* + *These are inherited for global data-type if any data-types in the + * field have them + */ +#define NPY_FROM_FIELDS (NPY_NEEDS_INIT | NPY_LIST_PICKLE | \ + NPY_ITEM_REFCOUNT | NPY_NEEDS_PYAPI) + +#define NPY_OBJECT_DTYPE_FLAGS (NPY_LIST_PICKLE | NPY_USE_GETITEM | \ + NPY_ITEM_IS_POINTER | NPY_ITEM_REFCOUNT | \ + NPY_NEEDS_INIT | NPY_NEEDS_PYAPI) + +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION +/* + * Public version of the Descriptor struct as of 2.x + */ +typedef struct _PyArray_Descr { + PyObject_HEAD + /* + * the type object representing an + * instance of this type -- should not + * be two type_numbers with the same type + * object. + */ + PyTypeObject *typeobj; + /* kind for this type */ + char kind; + /* unique-character representing this type */ + char type; + /* + * '>' (big), '<' (little), '|' + * (not-applicable), or '=' (native). + */ + char byteorder; + /* Former flags flags space (unused) to ensure type_num is stable. */ + char _former_flags; + /* number representing this type */ + int type_num; + /* Space for dtype instance specific flags. */ + npy_uint64 flags; + /* element size (itemsize) for this type */ + npy_intp elsize; + /* alignment needed for this type */ + npy_intp alignment; + /* metadata dict or NULL */ + PyObject *metadata; + /* Cached hash value (-1 if not yet computed). */ + npy_hash_t hash; + /* Unused slot (must be initialized to NULL) for future use */ + void *reserved_null[2]; +} PyArray_Descr; + +#else /* 1.x and 2.x compatible version (only shared fields): */ + +typedef struct _PyArray_Descr { + PyObject_HEAD + PyTypeObject *typeobj; + char kind; + char type; + char byteorder; + char _former_flags; + int type_num; +} PyArray_Descr; + +/* To access modified fields, define the full 2.0 struct: */ +typedef struct { + PyObject_HEAD + PyTypeObject *typeobj; + char kind; + char type; + char byteorder; + char _former_flags; + int type_num; + npy_uint64 flags; + npy_intp elsize; + npy_intp alignment; + PyObject *metadata; + npy_hash_t hash; + void *reserved_null[2]; +} _PyArray_DescrNumPy2; + +#endif /* 1.x and 2.x compatible version */ + +/* + * Semi-private struct with additional field of legacy descriptors (must + * check NPY_DT_is_legacy before casting/accessing). The struct is also not + * valid when running on 1.x (i.e. in public API use). + */ +typedef struct { + PyObject_HEAD + PyTypeObject *typeobj; + char kind; + char type; + char byteorder; + char _former_flags; + int type_num; + npy_uint64 flags; + npy_intp elsize; + npy_intp alignment; + PyObject *metadata; + npy_hash_t hash; + void *reserved_null[2]; + struct _arr_descr *subarray; + PyObject *fields; + PyObject *names; + NpyAuxData *c_metadata; +} _PyArray_LegacyDescr; + + +/* + * Umodified PyArray_Descr struct identical to NumPy 1.x. This struct is + * used as a prototype for registering a new legacy DType. + * It is also used to access the fields in user code running on 1.x. + */ +typedef struct { + PyObject_HEAD + PyTypeObject *typeobj; + char kind; + char type; + char byteorder; + char flags; + int type_num; + int elsize; + int alignment; + struct _arr_descr *subarray; + PyObject *fields; + PyObject *names; + PyArray_ArrFuncs *f; + PyObject *metadata; + NpyAuxData *c_metadata; + npy_hash_t hash; +} PyArray_DescrProto; + + +typedef struct _arr_descr { + PyArray_Descr *base; + PyObject *shape; /* a tuple */ +} PyArray_ArrayDescr; + +/* + * Memory handler structure for array data. + */ +/* The declaration of free differs from PyMemAllocatorEx */ +typedef struct { + void *ctx; + void* (*malloc) (void *ctx, size_t size); + void* (*calloc) (void *ctx, size_t nelem, size_t elsize); + void* (*realloc) (void *ctx, void *ptr, size_t new_size); + void (*free) (void *ctx, void *ptr, size_t size); + /* + * This is the end of the version=1 struct. Only add new fields after + * this line + */ +} PyDataMemAllocator; + +typedef struct { + char name[127]; /* multiple of 64 to keep the struct aligned */ + uint8_t version; /* currently 1 */ + PyDataMemAllocator allocator; +} PyDataMem_Handler; + + +/* + * The main array object structure. + * + * It has been recommended to use the inline functions defined below + * (PyArray_DATA and friends) to access fields here for a number of + * releases. Direct access to the members themselves is deprecated. + * To ensure that your code does not use deprecated access, + * #define NPY_NO_DEPRECATED_API NPY_1_7_API_VERSION + * (or NPY_1_8_API_VERSION or higher as required). + */ +/* This struct will be moved to a private header in a future release */ +typedef struct tagPyArrayObject_fields { + PyObject_HEAD + /* Pointer to the raw data buffer */ + char *data; + /* The number of dimensions, also called 'ndim' */ + int nd; + /* The size in each dimension, also called 'shape' */ + npy_intp *dimensions; + /* + * Number of bytes to jump to get to the + * next element in each dimension + */ + npy_intp *strides; + /* + * This object is decref'd upon + * deletion of array. Except in the + * case of WRITEBACKIFCOPY which has + * special handling. + * + * For views it points to the original + * array, collapsed so no chains of + * views occur. + * + * For creation from buffer object it + * points to an object that should be + * decref'd on deletion + * + * For WRITEBACKIFCOPY flag this is an + * array to-be-updated upon calling + * PyArray_ResolveWritebackIfCopy + */ + PyObject *base; + /* Pointer to type structure */ + PyArray_Descr *descr; + /* Flags describing array -- see below */ + int flags; + /* For weak references */ + PyObject *weakreflist; +#if NPY_FEATURE_VERSION >= NPY_1_20_API_VERSION + void *_buffer_info; /* private buffer info, tagged to allow warning */ +#endif + /* + * For malloc/calloc/realloc/free per object + */ +#if NPY_FEATURE_VERSION >= NPY_1_22_API_VERSION + PyObject *mem_handler; +#endif +} PyArrayObject_fields; + +/* + * To hide the implementation details, we only expose + * the Python struct HEAD. + */ +#if !defined(NPY_NO_DEPRECATED_API) || \ + (NPY_NO_DEPRECATED_API < NPY_1_7_API_VERSION) +/* + * Can't put this in npy_deprecated_api.h like the others. + * PyArrayObject field access is deprecated as of NumPy 1.7. + */ +typedef PyArrayObject_fields PyArrayObject; +#else +typedef struct tagPyArrayObject { + PyObject_HEAD +} PyArrayObject; +#endif + +/* + * Removed 2020-Nov-25, NumPy 1.20 + * #define NPY_SIZEOF_PYARRAYOBJECT (sizeof(PyArrayObject_fields)) + * + * The above macro was removed as it gave a false sense of a stable ABI + * with respect to the structures size. If you require a runtime constant, + * you can use `PyArray_Type.tp_basicsize` instead. Otherwise, please + * see the PyArrayObject documentation or ask the NumPy developers for + * information on how to correctly replace the macro in a way that is + * compatible with multiple NumPy versions. + */ + +/* Mirrors buffer object to ptr */ + +typedef struct { + PyObject_HEAD + PyObject *base; + void *ptr; + npy_intp len; + int flags; +} PyArray_Chunk; + +typedef struct { + NPY_DATETIMEUNIT base; + int num; +} PyArray_DatetimeMetaData; + +typedef struct { + NpyAuxData base; + PyArray_DatetimeMetaData meta; +} PyArray_DatetimeDTypeMetaData; + +/* + * This structure contains an exploded view of a date-time value. + * NaT is represented by year == NPY_DATETIME_NAT. + */ +typedef struct { + npy_int64 year; + npy_int32 month, day, hour, min, sec, us, ps, as; +} npy_datetimestruct; + +/* This structure contains an exploded view of a timedelta value */ +typedef struct { + npy_int64 day; + npy_int32 sec, us, ps, as; +} npy_timedeltastruct; + +typedef int (PyArray_FinalizeFunc)(PyArrayObject *, PyObject *); + +/* + * Means c-style contiguous (last index varies the fastest). The data + * elements right after each other. + * + * This flag may be requested in constructor functions. + * This flag may be tested for in PyArray_FLAGS(arr). + */ +#define NPY_ARRAY_C_CONTIGUOUS 0x0001 + +/* + * Set if array is a contiguous Fortran array: the first index varies + * the fastest in memory (strides array is reverse of C-contiguous + * array) + * + * This flag may be requested in constructor functions. + * This flag may be tested for in PyArray_FLAGS(arr). + */ +#define NPY_ARRAY_F_CONTIGUOUS 0x0002 + +/* + * Note: all 0-d arrays are C_CONTIGUOUS and F_CONTIGUOUS. If a + * 1-d array is C_CONTIGUOUS it is also F_CONTIGUOUS. Arrays with + * more then one dimension can be C_CONTIGUOUS and F_CONTIGUOUS + * at the same time if they have either zero or one element. + * A higher dimensional array always has the same contiguity flags as + * `array.squeeze()`; dimensions with `array.shape[dimension] == 1` are + * effectively ignored when checking for contiguity. + */ + +/* + * If set, the array owns the data: it will be free'd when the array + * is deleted. + * + * This flag may be tested for in PyArray_FLAGS(arr). + */ +#define NPY_ARRAY_OWNDATA 0x0004 + +/* + * An array never has the next four set; they're only used as parameter + * flags to the various FromAny functions + * + * This flag may be requested in constructor functions. + */ + +/* Cause a cast to occur regardless of whether or not it is safe. */ +#define NPY_ARRAY_FORCECAST 0x0010 + +/* + * Always copy the array. Returned arrays are always CONTIGUOUS, + * ALIGNED, and WRITEABLE. See also: NPY_ARRAY_ENSURENOCOPY = 0x4000. + * + * This flag may be requested in constructor functions. + */ +#define NPY_ARRAY_ENSURECOPY 0x0020 + +/* + * Make sure the returned array is a base-class ndarray + * + * This flag may be requested in constructor functions. + */ +#define NPY_ARRAY_ENSUREARRAY 0x0040 + +/* + * Make sure that the strides are in units of the element size Needed + * for some operations with record-arrays. + * + * This flag may be requested in constructor functions. + */ +#define NPY_ARRAY_ELEMENTSTRIDES 0x0080 + +/* + * Array data is aligned on the appropriate memory address for the type + * stored according to how the compiler would align things (e.g., an + * array of integers (4 bytes each) starts on a memory address that's + * a multiple of 4) + * + * This flag may be requested in constructor functions. + * This flag may be tested for in PyArray_FLAGS(arr). + */ +#define NPY_ARRAY_ALIGNED 0x0100 + +/* + * Array data has the native endianness + * + * This flag may be requested in constructor functions. + */ +#define NPY_ARRAY_NOTSWAPPED 0x0200 + +/* + * Array data is writeable + * + * This flag may be requested in constructor functions. + * This flag may be tested for in PyArray_FLAGS(arr). + */ +#define NPY_ARRAY_WRITEABLE 0x0400 + +/* + * If this flag is set, then base contains a pointer to an array of + * the same size that should be updated with the current contents of + * this array when PyArray_ResolveWritebackIfCopy is called. + * + * This flag may be requested in constructor functions. + * This flag may be tested for in PyArray_FLAGS(arr). + */ +#define NPY_ARRAY_WRITEBACKIFCOPY 0x2000 + +/* + * No copy may be made while converting from an object/array (result is a view) + * + * This flag may be requested in constructor functions. + */ +#define NPY_ARRAY_ENSURENOCOPY 0x4000 + +/* + * NOTE: there are also internal flags defined in multiarray/arrayobject.h, + * which start at bit 31 and work down. + */ + +#define NPY_ARRAY_BEHAVED (NPY_ARRAY_ALIGNED | \ + NPY_ARRAY_WRITEABLE) +#define NPY_ARRAY_BEHAVED_NS (NPY_ARRAY_ALIGNED | \ + NPY_ARRAY_WRITEABLE | \ + NPY_ARRAY_NOTSWAPPED) +#define NPY_ARRAY_CARRAY (NPY_ARRAY_C_CONTIGUOUS | \ + NPY_ARRAY_BEHAVED) +#define NPY_ARRAY_CARRAY_RO (NPY_ARRAY_C_CONTIGUOUS | \ + NPY_ARRAY_ALIGNED) +#define NPY_ARRAY_FARRAY (NPY_ARRAY_F_CONTIGUOUS | \ + NPY_ARRAY_BEHAVED) +#define NPY_ARRAY_FARRAY_RO (NPY_ARRAY_F_CONTIGUOUS | \ + NPY_ARRAY_ALIGNED) +#define NPY_ARRAY_DEFAULT (NPY_ARRAY_CARRAY) +#define NPY_ARRAY_IN_ARRAY (NPY_ARRAY_CARRAY_RO) +#define NPY_ARRAY_OUT_ARRAY (NPY_ARRAY_CARRAY) +#define NPY_ARRAY_INOUT_ARRAY (NPY_ARRAY_CARRAY) +#define NPY_ARRAY_INOUT_ARRAY2 (NPY_ARRAY_CARRAY | \ + NPY_ARRAY_WRITEBACKIFCOPY) +#define NPY_ARRAY_IN_FARRAY (NPY_ARRAY_FARRAY_RO) +#define NPY_ARRAY_OUT_FARRAY (NPY_ARRAY_FARRAY) +#define NPY_ARRAY_INOUT_FARRAY (NPY_ARRAY_FARRAY) +#define NPY_ARRAY_INOUT_FARRAY2 (NPY_ARRAY_FARRAY | \ + NPY_ARRAY_WRITEBACKIFCOPY) + +#define NPY_ARRAY_UPDATE_ALL (NPY_ARRAY_C_CONTIGUOUS | \ + NPY_ARRAY_F_CONTIGUOUS | \ + NPY_ARRAY_ALIGNED) + +/* This flag is for the array interface, not PyArrayObject */ +#define NPY_ARR_HAS_DESCR 0x0800 + + + + +/* + * Size of internal buffers used for alignment Make BUFSIZE a multiple + * of sizeof(npy_cdouble) -- usually 16 so that ufunc buffers are aligned + */ +#define NPY_MIN_BUFSIZE ((int)sizeof(npy_cdouble)) +#define NPY_MAX_BUFSIZE (((int)sizeof(npy_cdouble))*1000000) +#define NPY_BUFSIZE 8192 +/* buffer stress test size: */ +/*#define NPY_BUFSIZE 17*/ + +/* + * C API: consists of Macros and functions. The MACROS are defined + * here. + */ + + +#define PyArray_ISCONTIGUOUS(m) PyArray_CHKFLAGS((m), NPY_ARRAY_C_CONTIGUOUS) +#define PyArray_ISWRITEABLE(m) PyArray_CHKFLAGS((m), NPY_ARRAY_WRITEABLE) +#define PyArray_ISALIGNED(m) PyArray_CHKFLAGS((m), NPY_ARRAY_ALIGNED) + +#define PyArray_IS_C_CONTIGUOUS(m) PyArray_CHKFLAGS((m), NPY_ARRAY_C_CONTIGUOUS) +#define PyArray_IS_F_CONTIGUOUS(m) PyArray_CHKFLAGS((m), NPY_ARRAY_F_CONTIGUOUS) + +/* the variable is used in some places, so always define it */ +#define NPY_BEGIN_THREADS_DEF PyThreadState *_save=NULL; +#if NPY_ALLOW_THREADS +#define NPY_BEGIN_ALLOW_THREADS Py_BEGIN_ALLOW_THREADS +#define NPY_END_ALLOW_THREADS Py_END_ALLOW_THREADS +#define NPY_BEGIN_THREADS do {_save = PyEval_SaveThread();} while (0); +#define NPY_END_THREADS do { if (_save) \ + { PyEval_RestoreThread(_save); _save = NULL;} } while (0); +#define NPY_BEGIN_THREADS_THRESHOLDED(loop_size) do { if ((loop_size) > 500) \ + { _save = PyEval_SaveThread();} } while (0); + + +#define NPY_ALLOW_C_API_DEF PyGILState_STATE __save__; +#define NPY_ALLOW_C_API do {__save__ = PyGILState_Ensure();} while (0); +#define NPY_DISABLE_C_API do {PyGILState_Release(__save__);} while (0); +#else +#define NPY_BEGIN_ALLOW_THREADS +#define NPY_END_ALLOW_THREADS +#define NPY_BEGIN_THREADS +#define NPY_END_THREADS +#define NPY_BEGIN_THREADS_THRESHOLDED(loop_size) +#define NPY_BEGIN_THREADS_DESCR(dtype) +#define NPY_END_THREADS_DESCR(dtype) +#define NPY_ALLOW_C_API_DEF +#define NPY_ALLOW_C_API +#define NPY_DISABLE_C_API +#endif + +/********************************** + * The nditer object, added in 1.6 + **********************************/ + +/* The actual structure of the iterator is an internal detail */ +typedef struct NpyIter_InternalOnly NpyIter; + +/* Iterator function pointers that may be specialized */ +typedef int (NpyIter_IterNextFunc)(NpyIter *iter); +typedef void (NpyIter_GetMultiIndexFunc)(NpyIter *iter, + npy_intp *outcoords); + +/*** Global flags that may be passed to the iterator constructors ***/ + +/* Track an index representing C order */ +#define NPY_ITER_C_INDEX 0x00000001 +/* Track an index representing Fortran order */ +#define NPY_ITER_F_INDEX 0x00000002 +/* Track a multi-index */ +#define NPY_ITER_MULTI_INDEX 0x00000004 +/* User code external to the iterator does the 1-dimensional innermost loop */ +#define NPY_ITER_EXTERNAL_LOOP 0x00000008 +/* Convert all the operands to a common data type */ +#define NPY_ITER_COMMON_DTYPE 0x00000010 +/* Operands may hold references, requiring API access during iteration */ +#define NPY_ITER_REFS_OK 0x00000020 +/* Zero-sized operands should be permitted, iteration checks IterSize for 0 */ +#define NPY_ITER_ZEROSIZE_OK 0x00000040 +/* Permits reductions (size-0 stride with dimension size > 1) */ +#define NPY_ITER_REDUCE_OK 0x00000080 +/* Enables sub-range iteration */ +#define NPY_ITER_RANGED 0x00000100 +/* Enables buffering */ +#define NPY_ITER_BUFFERED 0x00000200 +/* When buffering is enabled, grows the inner loop if possible */ +#define NPY_ITER_GROWINNER 0x00000400 +/* Delay allocation of buffers until first Reset* call */ +#define NPY_ITER_DELAY_BUFALLOC 0x00000800 +/* When NPY_KEEPORDER is specified, disable reversing negative-stride axes */ +#define NPY_ITER_DONT_NEGATE_STRIDES 0x00001000 +/* + * If output operands overlap with other operands (based on heuristics that + * has false positives but no false negatives), make temporary copies to + * eliminate overlap. + */ +#define NPY_ITER_COPY_IF_OVERLAP 0x00002000 + +/*** Per-operand flags that may be passed to the iterator constructors ***/ + +/* The operand will be read from and written to */ +#define NPY_ITER_READWRITE 0x00010000 +/* The operand will only be read from */ +#define NPY_ITER_READONLY 0x00020000 +/* The operand will only be written to */ +#define NPY_ITER_WRITEONLY 0x00040000 +/* The operand's data must be in native byte order */ +#define NPY_ITER_NBO 0x00080000 +/* The operand's data must be aligned */ +#define NPY_ITER_ALIGNED 0x00100000 +/* The operand's data must be contiguous (within the inner loop) */ +#define NPY_ITER_CONTIG 0x00200000 +/* The operand may be copied to satisfy requirements */ +#define NPY_ITER_COPY 0x00400000 +/* The operand may be copied with WRITEBACKIFCOPY to satisfy requirements */ +#define NPY_ITER_UPDATEIFCOPY 0x00800000 +/* Allocate the operand if it is NULL */ +#define NPY_ITER_ALLOCATE 0x01000000 +/* If an operand is allocated, don't use any subtype */ +#define NPY_ITER_NO_SUBTYPE 0x02000000 +/* This is a virtual array slot, operand is NULL but temporary data is there */ +#define NPY_ITER_VIRTUAL 0x04000000 +/* Require that the dimension match the iterator dimensions exactly */ +#define NPY_ITER_NO_BROADCAST 0x08000000 +/* A mask is being used on this array, affects buffer -> array copy */ +#define NPY_ITER_WRITEMASKED 0x10000000 +/* This array is the mask for all WRITEMASKED operands */ +#define NPY_ITER_ARRAYMASK 0x20000000 +/* Assume iterator order data access for COPY_IF_OVERLAP */ +#define NPY_ITER_OVERLAP_ASSUME_ELEMENTWISE 0x40000000 + +#define NPY_ITER_GLOBAL_FLAGS 0x0000ffff +#define NPY_ITER_PER_OP_FLAGS 0xffff0000 + + +/***************************** + * Basic iterator object + *****************************/ + +/* FWD declaration */ +typedef struct PyArrayIterObject_tag PyArrayIterObject; + +/* + * type of the function which translates a set of coordinates to a + * pointer to the data + */ +typedef char* (*npy_iter_get_dataptr_t)( + PyArrayIterObject* iter, const npy_intp*); + +struct PyArrayIterObject_tag { + PyObject_HEAD + int nd_m1; /* number of dimensions - 1 */ + npy_intp index, size; + npy_intp coordinates[NPY_MAXDIMS_LEGACY_ITERS];/* N-dimensional loop */ + npy_intp dims_m1[NPY_MAXDIMS_LEGACY_ITERS]; /* ao->dimensions - 1 */ + npy_intp strides[NPY_MAXDIMS_LEGACY_ITERS]; /* ao->strides or fake */ + npy_intp backstrides[NPY_MAXDIMS_LEGACY_ITERS];/* how far to jump back */ + npy_intp factors[NPY_MAXDIMS_LEGACY_ITERS]; /* shape factors */ + PyArrayObject *ao; + char *dataptr; /* pointer to current item*/ + npy_bool contiguous; + + npy_intp bounds[NPY_MAXDIMS_LEGACY_ITERS][2]; + npy_intp limits[NPY_MAXDIMS_LEGACY_ITERS][2]; + npy_intp limits_sizes[NPY_MAXDIMS_LEGACY_ITERS]; + npy_iter_get_dataptr_t translate; +} ; + + +/* Iterator API */ +#define PyArrayIter_Check(op) PyObject_TypeCheck((op), &PyArrayIter_Type) + +#define _PyAIT(it) ((PyArrayIterObject *)(it)) +#define PyArray_ITER_RESET(it) do { \ + _PyAIT(it)->index = 0; \ + _PyAIT(it)->dataptr = PyArray_BYTES(_PyAIT(it)->ao); \ + memset(_PyAIT(it)->coordinates, 0, \ + (_PyAIT(it)->nd_m1+1)*sizeof(npy_intp)); \ +} while (0) + +#define _PyArray_ITER_NEXT1(it) do { \ + (it)->dataptr += _PyAIT(it)->strides[0]; \ + (it)->coordinates[0]++; \ +} while (0) + +#define _PyArray_ITER_NEXT2(it) do { \ + if ((it)->coordinates[1] < (it)->dims_m1[1]) { \ + (it)->coordinates[1]++; \ + (it)->dataptr += (it)->strides[1]; \ + } \ + else { \ + (it)->coordinates[1] = 0; \ + (it)->coordinates[0]++; \ + (it)->dataptr += (it)->strides[0] - \ + (it)->backstrides[1]; \ + } \ +} while (0) + +#define PyArray_ITER_NEXT(it) do { \ + _PyAIT(it)->index++; \ + if (_PyAIT(it)->nd_m1 == 0) { \ + _PyArray_ITER_NEXT1(_PyAIT(it)); \ + } \ + else if (_PyAIT(it)->contiguous) \ + _PyAIT(it)->dataptr += PyArray_ITEMSIZE(_PyAIT(it)->ao); \ + else if (_PyAIT(it)->nd_m1 == 1) { \ + _PyArray_ITER_NEXT2(_PyAIT(it)); \ + } \ + else { \ + int __npy_i; \ + for (__npy_i=_PyAIT(it)->nd_m1; __npy_i >= 0; __npy_i--) { \ + if (_PyAIT(it)->coordinates[__npy_i] < \ + _PyAIT(it)->dims_m1[__npy_i]) { \ + _PyAIT(it)->coordinates[__npy_i]++; \ + _PyAIT(it)->dataptr += \ + _PyAIT(it)->strides[__npy_i]; \ + break; \ + } \ + else { \ + _PyAIT(it)->coordinates[__npy_i] = 0; \ + _PyAIT(it)->dataptr -= \ + _PyAIT(it)->backstrides[__npy_i]; \ + } \ + } \ + } \ +} while (0) + +#define PyArray_ITER_GOTO(it, destination) do { \ + int __npy_i; \ + _PyAIT(it)->index = 0; \ + _PyAIT(it)->dataptr = PyArray_BYTES(_PyAIT(it)->ao); \ + for (__npy_i = _PyAIT(it)->nd_m1; __npy_i>=0; __npy_i--) { \ + if (destination[__npy_i] < 0) { \ + destination[__npy_i] += \ + _PyAIT(it)->dims_m1[__npy_i]+1; \ + } \ + _PyAIT(it)->dataptr += destination[__npy_i] * \ + _PyAIT(it)->strides[__npy_i]; \ + _PyAIT(it)->coordinates[__npy_i] = \ + destination[__npy_i]; \ + _PyAIT(it)->index += destination[__npy_i] * \ + ( __npy_i==_PyAIT(it)->nd_m1 ? 1 : \ + _PyAIT(it)->dims_m1[__npy_i+1]+1) ; \ + } \ +} while (0) + +#define PyArray_ITER_GOTO1D(it, ind) do { \ + int __npy_i; \ + npy_intp __npy_ind = (npy_intp)(ind); \ + if (__npy_ind < 0) __npy_ind += _PyAIT(it)->size; \ + _PyAIT(it)->index = __npy_ind; \ + if (_PyAIT(it)->nd_m1 == 0) { \ + _PyAIT(it)->dataptr = PyArray_BYTES(_PyAIT(it)->ao) + \ + __npy_ind * _PyAIT(it)->strides[0]; \ + } \ + else if (_PyAIT(it)->contiguous) \ + _PyAIT(it)->dataptr = PyArray_BYTES(_PyAIT(it)->ao) + \ + __npy_ind * PyArray_ITEMSIZE(_PyAIT(it)->ao); \ + else { \ + _PyAIT(it)->dataptr = PyArray_BYTES(_PyAIT(it)->ao); \ + for (__npy_i = 0; __npy_i<=_PyAIT(it)->nd_m1; \ + __npy_i++) { \ + _PyAIT(it)->coordinates[__npy_i] = \ + (__npy_ind / _PyAIT(it)->factors[__npy_i]); \ + _PyAIT(it)->dataptr += \ + (__npy_ind / _PyAIT(it)->factors[__npy_i]) \ + * _PyAIT(it)->strides[__npy_i]; \ + __npy_ind %= _PyAIT(it)->factors[__npy_i]; \ + } \ + } \ +} while (0) + +#define PyArray_ITER_DATA(it) ((void *)(_PyAIT(it)->dataptr)) + +#define PyArray_ITER_NOTDONE(it) (_PyAIT(it)->index < _PyAIT(it)->size) + + +/* + * Any object passed to PyArray_Broadcast must be binary compatible + * with this structure. + */ + +typedef struct { + PyObject_HEAD + int numiter; /* number of iters */ + npy_intp size; /* broadcasted size */ + npy_intp index; /* current index */ + int nd; /* number of dims */ + npy_intp dimensions[NPY_MAXDIMS_LEGACY_ITERS]; /* dimensions */ + /* + * Space for the individual iterators, do not specify size publicly + * to allow changing it more easily. + * One reason is that Cython uses this for checks and only allows + * growing structs (as of Cython 3.0.6). It also allows NPY_MAXARGS + * to be runtime dependent. + */ +#if (defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD) + PyArrayIterObject *iters[64]; +#elif defined(__cplusplus) + /* + * C++ doesn't strictly support flexible members and gives compilers + * warnings (pedantic only), so we lie. We can't make it 64 because + * then Cython is unhappy (larger struct at runtime is OK smaller not). + */ + PyArrayIterObject *iters[32]; +#else + PyArrayIterObject *iters[]; +#endif +} PyArrayMultiIterObject; + +#define _PyMIT(m) ((PyArrayMultiIterObject *)(m)) +#define PyArray_MultiIter_RESET(multi) do { \ + int __npy_mi; \ + _PyMIT(multi)->index = 0; \ + for (__npy_mi=0; __npy_mi < _PyMIT(multi)->numiter; __npy_mi++) { \ + PyArray_ITER_RESET(_PyMIT(multi)->iters[__npy_mi]); \ + } \ +} while (0) + +#define PyArray_MultiIter_NEXT(multi) do { \ + int __npy_mi; \ + _PyMIT(multi)->index++; \ + for (__npy_mi=0; __npy_mi < _PyMIT(multi)->numiter; __npy_mi++) { \ + PyArray_ITER_NEXT(_PyMIT(multi)->iters[__npy_mi]); \ + } \ +} while (0) + +#define PyArray_MultiIter_GOTO(multi, dest) do { \ + int __npy_mi; \ + for (__npy_mi=0; __npy_mi < _PyMIT(multi)->numiter; __npy_mi++) { \ + PyArray_ITER_GOTO(_PyMIT(multi)->iters[__npy_mi], dest); \ + } \ + _PyMIT(multi)->index = _PyMIT(multi)->iters[0]->index; \ +} while (0) + +#define PyArray_MultiIter_GOTO1D(multi, ind) do { \ + int __npy_mi; \ + for (__npy_mi=0; __npy_mi < _PyMIT(multi)->numiter; __npy_mi++) { \ + PyArray_ITER_GOTO1D(_PyMIT(multi)->iters[__npy_mi], ind); \ + } \ + _PyMIT(multi)->index = _PyMIT(multi)->iters[0]->index; \ +} while (0) + +#define PyArray_MultiIter_DATA(multi, i) \ + ((void *)(_PyMIT(multi)->iters[i]->dataptr)) + +#define PyArray_MultiIter_NEXTi(multi, i) \ + PyArray_ITER_NEXT(_PyMIT(multi)->iters[i]) + +#define PyArray_MultiIter_NOTDONE(multi) \ + (_PyMIT(multi)->index < _PyMIT(multi)->size) + + +static NPY_INLINE int +PyArray_MultiIter_NUMITER(PyArrayMultiIterObject *multi) +{ + return multi->numiter; +} + + +static NPY_INLINE npy_intp +PyArray_MultiIter_SIZE(PyArrayMultiIterObject *multi) +{ + return multi->size; +} + + +static NPY_INLINE npy_intp +PyArray_MultiIter_INDEX(PyArrayMultiIterObject *multi) +{ + return multi->index; +} + + +static NPY_INLINE int +PyArray_MultiIter_NDIM(PyArrayMultiIterObject *multi) +{ + return multi->nd; +} + + +static NPY_INLINE npy_intp * +PyArray_MultiIter_DIMS(PyArrayMultiIterObject *multi) +{ + return multi->dimensions; +} + + +static NPY_INLINE void ** +PyArray_MultiIter_ITERS(PyArrayMultiIterObject *multi) +{ + return (void**)multi->iters; +} + + +enum { + NPY_NEIGHBORHOOD_ITER_ZERO_PADDING, + NPY_NEIGHBORHOOD_ITER_ONE_PADDING, + NPY_NEIGHBORHOOD_ITER_CONSTANT_PADDING, + NPY_NEIGHBORHOOD_ITER_CIRCULAR_PADDING, + NPY_NEIGHBORHOOD_ITER_MIRROR_PADDING +}; + +typedef struct { + PyObject_HEAD + + /* + * PyArrayIterObject part: keep this in this exact order + */ + int nd_m1; /* number of dimensions - 1 */ + npy_intp index, size; + npy_intp coordinates[NPY_MAXDIMS_LEGACY_ITERS];/* N-dimensional loop */ + npy_intp dims_m1[NPY_MAXDIMS_LEGACY_ITERS]; /* ao->dimensions - 1 */ + npy_intp strides[NPY_MAXDIMS_LEGACY_ITERS]; /* ao->strides or fake */ + npy_intp backstrides[NPY_MAXDIMS_LEGACY_ITERS];/* how far to jump back */ + npy_intp factors[NPY_MAXDIMS_LEGACY_ITERS]; /* shape factors */ + PyArrayObject *ao; + char *dataptr; /* pointer to current item*/ + npy_bool contiguous; + + npy_intp bounds[NPY_MAXDIMS_LEGACY_ITERS][2]; + npy_intp limits[NPY_MAXDIMS_LEGACY_ITERS][2]; + npy_intp limits_sizes[NPY_MAXDIMS_LEGACY_ITERS]; + npy_iter_get_dataptr_t translate; + + /* + * New members + */ + npy_intp nd; + + /* Dimensions is the dimension of the array */ + npy_intp dimensions[NPY_MAXDIMS_LEGACY_ITERS]; + + /* + * Neighborhood points coordinates are computed relatively to the + * point pointed by _internal_iter + */ + PyArrayIterObject* _internal_iter; + /* + * To keep a reference to the representation of the constant value + * for constant padding + */ + char* constant; + + int mode; +} PyArrayNeighborhoodIterObject; + +/* + * Neighborhood iterator API + */ + +/* General: those work for any mode */ +static inline int +PyArrayNeighborhoodIter_Reset(PyArrayNeighborhoodIterObject* iter); +static inline int +PyArrayNeighborhoodIter_Next(PyArrayNeighborhoodIterObject* iter); +#if 0 +static inline int +PyArrayNeighborhoodIter_Next2D(PyArrayNeighborhoodIterObject* iter); +#endif + +/* + * Include inline implementations - functions defined there are not + * considered public API + */ +#define NUMPY_CORE_INCLUDE_NUMPY__NEIGHBORHOOD_IMP_H_ +#include "_neighborhood_iterator_imp.h" +#undef NUMPY_CORE_INCLUDE_NUMPY__NEIGHBORHOOD_IMP_H_ + + + +/* The default array type */ +#define NPY_DEFAULT_TYPE NPY_DOUBLE +/* default integer type defined in npy_2_compat header */ + +/* + * All sorts of useful ways to look into a PyArrayObject. It is recommended + * to use PyArrayObject * objects instead of always casting from PyObject *, + * for improved type checking. + * + * In many cases here the macro versions of the accessors are deprecated, + * but can't be immediately changed to inline functions because the + * preexisting macros accept PyObject * and do automatic casts. Inline + * functions accepting PyArrayObject * provides for some compile-time + * checking of correctness when working with these objects in C. + */ + +#define PyArray_ISONESEGMENT(m) (PyArray_CHKFLAGS(m, NPY_ARRAY_C_CONTIGUOUS) || \ + PyArray_CHKFLAGS(m, NPY_ARRAY_F_CONTIGUOUS)) + +#define PyArray_ISFORTRAN(m) (PyArray_CHKFLAGS(m, NPY_ARRAY_F_CONTIGUOUS) && \ + (!PyArray_CHKFLAGS(m, NPY_ARRAY_C_CONTIGUOUS))) + +#define PyArray_FORTRAN_IF(m) ((PyArray_CHKFLAGS(m, NPY_ARRAY_F_CONTIGUOUS) ? \ + NPY_ARRAY_F_CONTIGUOUS : 0)) + +static inline int +PyArray_NDIM(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->nd; +} + +static inline void * +PyArray_DATA(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->data; +} + +static inline char * +PyArray_BYTES(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->data; +} + +static inline npy_intp * +PyArray_DIMS(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->dimensions; +} + +static inline npy_intp * +PyArray_STRIDES(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->strides; +} + +static inline npy_intp +PyArray_DIM(const PyArrayObject *arr, int idim) +{ + return ((PyArrayObject_fields *)arr)->dimensions[idim]; +} + +static inline npy_intp +PyArray_STRIDE(const PyArrayObject *arr, int istride) +{ + return ((PyArrayObject_fields *)arr)->strides[istride]; +} + +static inline NPY_RETURNS_BORROWED_REF PyObject * +PyArray_BASE(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->base; +} + +static inline NPY_RETURNS_BORROWED_REF PyArray_Descr * +PyArray_DESCR(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->descr; +} + +static inline int +PyArray_FLAGS(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->flags; +} + + +static inline int +PyArray_TYPE(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->descr->type_num; +} + +static inline int +PyArray_CHKFLAGS(const PyArrayObject *arr, int flags) +{ + return (PyArray_FLAGS(arr) & flags) == flags; +} + +static inline PyArray_Descr * +PyArray_DTYPE(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->descr; +} + +static inline npy_intp * +PyArray_SHAPE(const PyArrayObject *arr) +{ + return ((PyArrayObject_fields *)arr)->dimensions; +} + +/* + * Enables the specified array flags. Does no checking, + * assumes you know what you're doing. + */ +static inline void +PyArray_ENABLEFLAGS(PyArrayObject *arr, int flags) +{ + ((PyArrayObject_fields *)arr)->flags |= flags; +} + +/* + * Clears the specified array flags. Does no checking, + * assumes you know what you're doing. + */ +static inline void +PyArray_CLEARFLAGS(PyArrayObject *arr, int flags) +{ + ((PyArrayObject_fields *)arr)->flags &= ~flags; +} + +#if NPY_FEATURE_VERSION >= NPY_1_22_API_VERSION + static inline NPY_RETURNS_BORROWED_REF PyObject * + PyArray_HANDLER(PyArrayObject *arr) + { + return ((PyArrayObject_fields *)arr)->mem_handler; + } +#endif + +#define PyTypeNum_ISBOOL(type) ((type) == NPY_BOOL) + +#define PyTypeNum_ISUNSIGNED(type) (((type) == NPY_UBYTE) || \ + ((type) == NPY_USHORT) || \ + ((type) == NPY_UINT) || \ + ((type) == NPY_ULONG) || \ + ((type) == NPY_ULONGLONG)) + +#define PyTypeNum_ISSIGNED(type) (((type) == NPY_BYTE) || \ + ((type) == NPY_SHORT) || \ + ((type) == NPY_INT) || \ + ((type) == NPY_LONG) || \ + ((type) == NPY_LONGLONG)) + +#define PyTypeNum_ISINTEGER(type) (((type) >= NPY_BYTE) && \ + ((type) <= NPY_ULONGLONG)) + +#define PyTypeNum_ISFLOAT(type) ((((type) >= NPY_FLOAT) && \ + ((type) <= NPY_LONGDOUBLE)) || \ + ((type) == NPY_HALF)) + +#define PyTypeNum_ISNUMBER(type) (((type) <= NPY_CLONGDOUBLE) || \ + ((type) == NPY_HALF)) + +#define PyTypeNum_ISSTRING(type) (((type) == NPY_STRING) || \ + ((type) == NPY_UNICODE)) + +#define PyTypeNum_ISCOMPLEX(type) (((type) >= NPY_CFLOAT) && \ + ((type) <= NPY_CLONGDOUBLE)) + +#define PyTypeNum_ISFLEXIBLE(type) (((type) >=NPY_STRING) && \ + ((type) <=NPY_VOID)) + +#define PyTypeNum_ISDATETIME(type) (((type) >=NPY_DATETIME) && \ + ((type) <=NPY_TIMEDELTA)) + +#define PyTypeNum_ISUSERDEF(type) (((type) >= NPY_USERDEF) && \ + ((type) < NPY_USERDEF+ \ + NPY_NUMUSERTYPES)) + +#define PyTypeNum_ISEXTENDED(type) (PyTypeNum_ISFLEXIBLE(type) || \ + PyTypeNum_ISUSERDEF(type)) + +#define PyTypeNum_ISOBJECT(type) ((type) == NPY_OBJECT) + + +#define PyDataType_ISLEGACY(dtype) ((dtype)->type_num < NPY_VSTRING && ((dtype)->type_num >= 0)) +#define PyDataType_ISBOOL(obj) PyTypeNum_ISBOOL(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISUNSIGNED(obj) PyTypeNum_ISUNSIGNED(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISSIGNED(obj) PyTypeNum_ISSIGNED(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISINTEGER(obj) PyTypeNum_ISINTEGER(((PyArray_Descr*)(obj))->type_num ) +#define PyDataType_ISFLOAT(obj) PyTypeNum_ISFLOAT(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISNUMBER(obj) PyTypeNum_ISNUMBER(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISSTRING(obj) PyTypeNum_ISSTRING(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISCOMPLEX(obj) PyTypeNum_ISCOMPLEX(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISFLEXIBLE(obj) PyTypeNum_ISFLEXIBLE(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISDATETIME(obj) PyTypeNum_ISDATETIME(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISUSERDEF(obj) PyTypeNum_ISUSERDEF(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISEXTENDED(obj) PyTypeNum_ISEXTENDED(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_ISOBJECT(obj) PyTypeNum_ISOBJECT(((PyArray_Descr*)(obj))->type_num) +#define PyDataType_MAKEUNSIZED(dtype) ((dtype)->elsize = 0) +/* + * PyDataType_* FLAGS, FLACHK, REFCHK, HASFIELDS, HASSUBARRAY, UNSIZED, + * SUBARRAY, NAMES, FIELDS, C_METADATA, and METADATA require version specific + * lookup and are defined in npy_2_compat.h. + */ + + +#define PyArray_ISBOOL(obj) PyTypeNum_ISBOOL(PyArray_TYPE(obj)) +#define PyArray_ISUNSIGNED(obj) PyTypeNum_ISUNSIGNED(PyArray_TYPE(obj)) +#define PyArray_ISSIGNED(obj) PyTypeNum_ISSIGNED(PyArray_TYPE(obj)) +#define PyArray_ISINTEGER(obj) PyTypeNum_ISINTEGER(PyArray_TYPE(obj)) +#define PyArray_ISFLOAT(obj) PyTypeNum_ISFLOAT(PyArray_TYPE(obj)) +#define PyArray_ISNUMBER(obj) PyTypeNum_ISNUMBER(PyArray_TYPE(obj)) +#define PyArray_ISSTRING(obj) PyTypeNum_ISSTRING(PyArray_TYPE(obj)) +#define PyArray_ISCOMPLEX(obj) PyTypeNum_ISCOMPLEX(PyArray_TYPE(obj)) +#define PyArray_ISFLEXIBLE(obj) PyTypeNum_ISFLEXIBLE(PyArray_TYPE(obj)) +#define PyArray_ISDATETIME(obj) PyTypeNum_ISDATETIME(PyArray_TYPE(obj)) +#define PyArray_ISUSERDEF(obj) PyTypeNum_ISUSERDEF(PyArray_TYPE(obj)) +#define PyArray_ISEXTENDED(obj) PyTypeNum_ISEXTENDED(PyArray_TYPE(obj)) +#define PyArray_ISOBJECT(obj) PyTypeNum_ISOBJECT(PyArray_TYPE(obj)) +#define PyArray_HASFIELDS(obj) PyDataType_HASFIELDS(PyArray_DESCR(obj)) + + /* + * FIXME: This should check for a flag on the data-type that + * states whether or not it is variable length. Because the + * ISFLEXIBLE check is hard-coded to the built-in data-types. + */ +#define PyArray_ISVARIABLE(obj) PyTypeNum_ISFLEXIBLE(PyArray_TYPE(obj)) + +#define PyArray_SAFEALIGNEDCOPY(obj) (PyArray_ISALIGNED(obj) && !PyArray_ISVARIABLE(obj)) + + +#define NPY_LITTLE '<' +#define NPY_BIG '>' +#define NPY_NATIVE '=' +#define NPY_SWAP 's' +#define NPY_IGNORE '|' + +#if NPY_BYTE_ORDER == NPY_BIG_ENDIAN +#define NPY_NATBYTE NPY_BIG +#define NPY_OPPBYTE NPY_LITTLE +#else +#define NPY_NATBYTE NPY_LITTLE +#define NPY_OPPBYTE NPY_BIG +#endif + +#define PyArray_ISNBO(arg) ((arg) != NPY_OPPBYTE) +#define PyArray_IsNativeByteOrder PyArray_ISNBO +#define PyArray_ISNOTSWAPPED(m) PyArray_ISNBO(PyArray_DESCR(m)->byteorder) +#define PyArray_ISBYTESWAPPED(m) (!PyArray_ISNOTSWAPPED(m)) + +#define PyArray_FLAGSWAP(m, flags) (PyArray_CHKFLAGS(m, flags) && \ + PyArray_ISNOTSWAPPED(m)) + +#define PyArray_ISCARRAY(m) PyArray_FLAGSWAP(m, NPY_ARRAY_CARRAY) +#define PyArray_ISCARRAY_RO(m) PyArray_FLAGSWAP(m, NPY_ARRAY_CARRAY_RO) +#define PyArray_ISFARRAY(m) PyArray_FLAGSWAP(m, NPY_ARRAY_FARRAY) +#define PyArray_ISFARRAY_RO(m) PyArray_FLAGSWAP(m, NPY_ARRAY_FARRAY_RO) +#define PyArray_ISBEHAVED(m) PyArray_FLAGSWAP(m, NPY_ARRAY_BEHAVED) +#define PyArray_ISBEHAVED_RO(m) PyArray_FLAGSWAP(m, NPY_ARRAY_ALIGNED) + + +#define PyDataType_ISNOTSWAPPED(d) PyArray_ISNBO(((PyArray_Descr *)(d))->byteorder) +#define PyDataType_ISBYTESWAPPED(d) (!PyDataType_ISNOTSWAPPED(d)) + +/************************************************************ + * A struct used by PyArray_CreateSortedStridePerm, new in 1.7. + ************************************************************/ + +typedef struct { + npy_intp perm, stride; +} npy_stride_sort_item; + +/************************************************************ + * This is the form of the struct that's stored in the + * PyCapsule returned by an array's __array_struct__ attribute. See + * https://docs.scipy.org/doc/numpy/reference/arrays.interface.html for the full + * documentation. + ************************************************************/ +typedef struct { + int two; /* + * contains the integer 2 as a sanity + * check + */ + + int nd; /* number of dimensions */ + + char typekind; /* + * kind in array --- character code of + * typestr + */ + + int itemsize; /* size of each element */ + + int flags; /* + * how should be data interpreted. Valid + * flags are CONTIGUOUS (1), F_CONTIGUOUS (2), + * ALIGNED (0x100), NOTSWAPPED (0x200), and + * WRITEABLE (0x400). ARR_HAS_DESCR (0x800) + * states that arrdescr field is present in + * structure + */ + + npy_intp *shape; /* + * A length-nd array of shape + * information + */ + + npy_intp *strides; /* A length-nd array of stride information */ + + void *data; /* A pointer to the first element of the array */ + + PyObject *descr; /* + * A list of fields or NULL (ignored if flags + * does not have ARR_HAS_DESCR flag set) + */ +} PyArrayInterface; + + +/**************************************** + * NpyString + * + * Types used by the NpyString API. + ****************************************/ + +/* + * A "packed" encoded string. The string data must be accessed by first unpacking the string. + */ +typedef struct npy_packed_static_string npy_packed_static_string; + +/* + * An unpacked read-only view onto the data in a packed string + */ +typedef struct npy_unpacked_static_string { + size_t size; + const char *buf; +} npy_static_string; + +/* + * Handles heap allocations for static strings. + */ +typedef struct npy_string_allocator npy_string_allocator; + +typedef struct { + PyArray_Descr base; + // The object representing a null value + PyObject *na_object; + // Flag indicating whether or not to coerce arbitrary objects to strings + char coerce; + // Flag indicating the na object is NaN-like + char has_nan_na; + // Flag indicating the na object is a string + char has_string_na; + // If nonzero, indicates that this instance is owned by an array already + char array_owned; + // The string data to use when a default string is needed + npy_static_string default_string; + // The name of the missing data object, if any + npy_static_string na_name; + // the allocator should only be directly accessed after + // acquiring the allocator_lock and the lock should + // be released immediately after the allocator is + // no longer needed + npy_string_allocator *allocator; +} PyArray_StringDTypeObject; + +/* + * PyArray_DTypeMeta related definitions. + * + * As of now, this API is preliminary and will be extended as necessary. + */ +#if defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD + /* + * The Structures defined in this block are currently considered + * private API and may change without warning! + * Part of this (at least the size) is expected to be public API without + * further modifications. + */ + /* TODO: Make this definition public in the API, as soon as its settled */ + NPY_NO_EXPORT extern PyTypeObject PyArrayDTypeMeta_Type; + + /* + * While NumPy DTypes would not need to be heap types the plan is to + * make DTypes available in Python at which point they will be heap types. + * Since we also wish to add fields to the DType class, this looks like + * a typical instance definition, but with PyHeapTypeObject instead of + * only the PyObject_HEAD. + * This must only be exposed very extremely careful consideration, since + * it is a fairly complex construct which may be better to allow + * refactoring of. + */ + typedef struct { + PyHeapTypeObject super; + + /* + * Most DTypes will have a singleton default instance, for the + * parametric legacy DTypes (bytes, string, void, datetime) this + * may be a pointer to the *prototype* instance? + */ + PyArray_Descr *singleton; + /* Copy of the legacy DTypes type number, usually invalid. */ + int type_num; + + /* The type object of the scalar instances (may be NULL?) */ + PyTypeObject *scalar_type; + /* + * DType flags to signal legacy, parametric, or + * abstract. But plenty of space for additional information/flags. + */ + npy_uint64 flags; + + /* + * Use indirection in order to allow a fixed size for this struct. + * A stable ABI size makes creating a static DType less painful + * while also ensuring flexibility for all opaque API (with one + * indirection due the pointer lookup). + */ + void *dt_slots; + void *reserved[3]; + } PyArray_DTypeMeta; + +#endif /* NPY_INTERNAL_BUILD */ + + +/* + * Use the keyword NPY_DEPRECATED_INCLUDES to ensure that the header files + * npy_*_*_deprecated_api.h are only included from here and nowhere else. + */ +#ifdef NPY_DEPRECATED_INCLUDES +#error "Do not use the reserved keyword NPY_DEPRECATED_INCLUDES." +#endif +#define NPY_DEPRECATED_INCLUDES +#if !defined(NPY_NO_DEPRECATED_API) || \ + (NPY_NO_DEPRECATED_API < NPY_1_7_API_VERSION) +#include "npy_1_7_deprecated_api.h" +#endif +/* + * There is no file npy_1_8_deprecated_api.h since there are no additional + * deprecated API features in NumPy 1.8. + * + * Note to maintainers: insert code like the following in future NumPy + * versions. + * + * #if !defined(NPY_NO_DEPRECATED_API) || \ + * (NPY_NO_DEPRECATED_API < NPY_1_9_API_VERSION) + * #include "npy_1_9_deprecated_api.h" + * #endif + */ +#undef NPY_DEPRECATED_INCLUDES + +#ifdef __cplusplus +} +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NDARRAYTYPES_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_1_7_deprecated_api.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_1_7_deprecated_api.h new file mode 100644 index 0000000000000000000000000000000000000000..be53cded488dd373072ab798fd7c25a5041e20ad --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_1_7_deprecated_api.h @@ -0,0 +1,112 @@ +#ifndef NPY_DEPRECATED_INCLUDES +#error "Should never include npy_*_*_deprecated_api directly." +#endif + +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_1_7_DEPRECATED_API_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_1_7_DEPRECATED_API_H_ + +/* Emit a warning if the user did not specifically request the old API */ +#ifndef NPY_NO_DEPRECATED_API +#if defined(_WIN32) +#define _WARN___STR2__(x) #x +#define _WARN___STR1__(x) _WARN___STR2__(x) +#define _WARN___LOC__ __FILE__ "(" _WARN___STR1__(__LINE__) ") : Warning Msg: " +#pragma message(_WARN___LOC__"Using deprecated NumPy API, disable it with " \ + "#define NPY_NO_DEPRECATED_API NPY_1_7_API_VERSION") +#else +#warning "Using deprecated NumPy API, disable it with " \ + "#define NPY_NO_DEPRECATED_API NPY_1_7_API_VERSION" +#endif +#endif + +/* + * This header exists to collect all dangerous/deprecated NumPy API + * as of NumPy 1.7. + * + * This is an attempt to remove bad API, the proliferation of macros, + * and namespace pollution currently produced by the NumPy headers. + */ + +/* These array flags are deprecated as of NumPy 1.7 */ +#define NPY_CONTIGUOUS NPY_ARRAY_C_CONTIGUOUS +#define NPY_FORTRAN NPY_ARRAY_F_CONTIGUOUS + +/* + * The consistent NPY_ARRAY_* names which don't pollute the NPY_* + * namespace were added in NumPy 1.7. + * + * These versions of the carray flags are deprecated, but + * probably should only be removed after two releases instead of one. + */ +#define NPY_C_CONTIGUOUS NPY_ARRAY_C_CONTIGUOUS +#define NPY_F_CONTIGUOUS NPY_ARRAY_F_CONTIGUOUS +#define NPY_OWNDATA NPY_ARRAY_OWNDATA +#define NPY_FORCECAST NPY_ARRAY_FORCECAST +#define NPY_ENSURECOPY NPY_ARRAY_ENSURECOPY +#define NPY_ENSUREARRAY NPY_ARRAY_ENSUREARRAY +#define NPY_ELEMENTSTRIDES NPY_ARRAY_ELEMENTSTRIDES +#define NPY_ALIGNED NPY_ARRAY_ALIGNED +#define NPY_NOTSWAPPED NPY_ARRAY_NOTSWAPPED +#define NPY_WRITEABLE NPY_ARRAY_WRITEABLE +#define NPY_BEHAVED NPY_ARRAY_BEHAVED +#define NPY_BEHAVED_NS NPY_ARRAY_BEHAVED_NS +#define NPY_CARRAY NPY_ARRAY_CARRAY +#define NPY_CARRAY_RO NPY_ARRAY_CARRAY_RO +#define NPY_FARRAY NPY_ARRAY_FARRAY +#define NPY_FARRAY_RO NPY_ARRAY_FARRAY_RO +#define NPY_DEFAULT NPY_ARRAY_DEFAULT +#define NPY_IN_ARRAY NPY_ARRAY_IN_ARRAY +#define NPY_OUT_ARRAY NPY_ARRAY_OUT_ARRAY +#define NPY_INOUT_ARRAY NPY_ARRAY_INOUT_ARRAY +#define NPY_IN_FARRAY NPY_ARRAY_IN_FARRAY +#define NPY_OUT_FARRAY NPY_ARRAY_OUT_FARRAY +#define NPY_INOUT_FARRAY NPY_ARRAY_INOUT_FARRAY +#define NPY_UPDATE_ALL NPY_ARRAY_UPDATE_ALL + +/* This way of accessing the default type is deprecated as of NumPy 1.7 */ +#define PyArray_DEFAULT NPY_DEFAULT_TYPE + +/* + * Deprecated as of NumPy 1.7, this kind of shortcut doesn't + * belong in the public API. + */ +#define NPY_AO PyArrayObject + +/* + * Deprecated as of NumPy 1.7, an all-lowercase macro doesn't + * belong in the public API. + */ +#define fortran fortran_ + +/* + * Deprecated as of NumPy 1.7, as it is a namespace-polluting + * macro. + */ +#define FORTRAN_IF PyArray_FORTRAN_IF + +/* Deprecated as of NumPy 1.7, datetime64 uses c_metadata instead */ +#define NPY_METADATA_DTSTR "__timeunit__" + +/* + * Deprecated as of NumPy 1.7. + * The reasoning: + * - These are for datetime, but there's no datetime "namespace". + * - They just turn NPY_STR_ into "", which is just + * making something simple be indirected. + */ +#define NPY_STR_Y "Y" +#define NPY_STR_M "M" +#define NPY_STR_W "W" +#define NPY_STR_D "D" +#define NPY_STR_h "h" +#define NPY_STR_m "m" +#define NPY_STR_s "s" +#define NPY_STR_ms "ms" +#define NPY_STR_us "us" +#define NPY_STR_ns "ns" +#define NPY_STR_ps "ps" +#define NPY_STR_fs "fs" +#define NPY_STR_as "as" + + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_1_7_DEPRECATED_API_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_2_compat.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_2_compat.h new file mode 100644 index 0000000000000000000000000000000000000000..e39e65aedea7dc95a1130ea94518bb778d1238cd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_2_compat.h @@ -0,0 +1,249 @@ +/* + * This header file defines relevant features which: + * - Require runtime inspection depending on the NumPy version. + * - May be needed when compiling with an older version of NumPy to allow + * a smooth transition. + * + * As such, it is shipped with NumPy 2.0, but designed to be vendored in full + * or parts by downstream projects. + * + * It must be included after any other includes. `import_array()` must have + * been called in the scope or version dependency will misbehave, even when + * only `PyUFunc_` API is used. + * + * If required complicated defs (with inline functions) should be written as: + * + * #if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION + * Simple definition when NumPy 2.0 API is guaranteed. + * #else + * static inline definition of a 1.x compatibility shim + * #if NPY_ABI_VERSION < 0x02000000 + * Make 1.x compatibility shim the public API (1.x only branch) + * #else + * Runtime dispatched version (1.x or 2.x) + * #endif + * #endif + * + * An internal build always passes NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION + */ + +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_2_COMPAT_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_2_COMPAT_H_ + +/* + * New macros for accessing real and complex part of a complex number can be + * found in "npy_2_complexcompat.h". + */ + + +/* + * This header is meant to be included by downstream directly for 1.x compat. + * In that case we need to ensure that users first included the full headers + * and not just `ndarraytypes.h`. + */ + +#ifndef NPY_FEATURE_VERSION + #error "The NumPy 2 compat header requires `import_array()` for which " \ + "the `ndarraytypes.h` header include is not sufficient. Please " \ + "include it after `numpy/ndarrayobject.h` or similar.\n" \ + "To simplify inclusion, you may use `PyArray_ImportNumPy()` " \ + "which is defined in the compat header and is lightweight (can be)." +#endif + +#if NPY_ABI_VERSION < 0x02000000 + /* + * Define 2.0 feature version as it is needed below to decide whether we + * compile for both 1.x and 2.x (defining it guarantees 1.x only). + */ + #define NPY_2_0_API_VERSION 0x00000012 + /* + * If we are compiling with NumPy 1.x, PyArray_RUNTIME_VERSION so we + * pretend the `PyArray_RUNTIME_VERSION` is `NPY_FEATURE_VERSION`. + * This allows downstream to use `PyArray_RUNTIME_VERSION` if they need to. + */ + #define PyArray_RUNTIME_VERSION NPY_FEATURE_VERSION + /* Compiling on NumPy 1.x where these are the same: */ + #define PyArray_DescrProto PyArray_Descr +#endif + + +/* + * Define a better way to call `_import_array()` to simplify backporting as + * we now require imports more often (necessary to make ABI flexible). + */ +#ifdef import_array1 + +static inline int +PyArray_ImportNumPyAPI(void) +{ + if (NPY_UNLIKELY(PyArray_API == NULL)) { + import_array1(-1); + } + return 0; +} + +#endif /* import_array1 */ + + +/* + * NPY_DEFAULT_INT + * + * The default integer has changed, `NPY_DEFAULT_INT` is available at runtime + * for use as type number, e.g. `PyArray_DescrFromType(NPY_DEFAULT_INT)`. + * + * NPY_RAVEL_AXIS + * + * This was introduced in NumPy 2.0 to allow indicating that an axis should be + * raveled in an operation. Before NumPy 2.0, NPY_MAXDIMS was used for this purpose. + * + * NPY_MAXDIMS + * + * A constant indicating the maximum number dimensions allowed when creating + * an ndarray. + * + * NPY_NTYPES_LEGACY + * + * The number of built-in NumPy dtypes. + */ +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION + #define NPY_DEFAULT_INT NPY_INTP + #define NPY_RAVEL_AXIS NPY_MIN_INT + #define NPY_MAXARGS 64 + +#elif NPY_ABI_VERSION < 0x02000000 + #define NPY_DEFAULT_INT NPY_LONG + #define NPY_RAVEL_AXIS 32 + #define NPY_MAXARGS 32 + + /* Aliases of 2.x names to 1.x only equivalent names */ + #define NPY_NTYPES NPY_NTYPES_LEGACY + #define PyArray_DescrProto PyArray_Descr + #define _PyArray_LegacyDescr PyArray_Descr + /* NumPy 2 definition always works, but add it for 1.x only */ + #define PyDataType_ISLEGACY(dtype) (1) +#else + #define NPY_DEFAULT_INT \ + (PyArray_RUNTIME_VERSION >= NPY_2_0_API_VERSION ? NPY_INTP : NPY_LONG) + #define NPY_RAVEL_AXIS \ + (PyArray_RUNTIME_VERSION >= NPY_2_0_API_VERSION ? NPY_MIN_INT : 32) + #define NPY_MAXARGS \ + (PyArray_RUNTIME_VERSION >= NPY_2_0_API_VERSION ? 64 : 32) +#endif + + +/* + * Access inline functions for descriptor fields. Except for the first + * few fields, these needed to be moved (elsize, alignment) for + * additional space. Or they are descriptor specific and are not generally + * available anymore (metadata, c_metadata, subarray, names, fields). + * + * Most of these are defined via the `DESCR_ACCESSOR` macro helper. + */ +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION || NPY_ABI_VERSION < 0x02000000 + /* Compiling for 1.x or 2.x only, direct field access is OK: */ + + static inline void + PyDataType_SET_ELSIZE(PyArray_Descr *dtype, npy_intp size) + { + dtype->elsize = size; + } + + static inline npy_uint64 + PyDataType_FLAGS(const PyArray_Descr *dtype) + { + #if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION + return dtype->flags; + #else + return (unsigned char)dtype->flags; /* Need unsigned cast on 1.x */ + #endif + } + + #define DESCR_ACCESSOR(FIELD, field, type, legacy_only) \ + static inline type \ + PyDataType_##FIELD(const PyArray_Descr *dtype) { \ + if (legacy_only && !PyDataType_ISLEGACY(dtype)) { \ + return (type)0; \ + } \ + return ((_PyArray_LegacyDescr *)dtype)->field; \ + } +#else /* compiling for both 1.x and 2.x */ + + static inline void + PyDataType_SET_ELSIZE(PyArray_Descr *dtype, npy_intp size) + { + if (PyArray_RUNTIME_VERSION >= NPY_2_0_API_VERSION) { + ((_PyArray_DescrNumPy2 *)dtype)->elsize = size; + } + else { + ((PyArray_DescrProto *)dtype)->elsize = (int)size; + } + } + + static inline npy_uint64 + PyDataType_FLAGS(const PyArray_Descr *dtype) + { + if (PyArray_RUNTIME_VERSION >= NPY_2_0_API_VERSION) { + return ((_PyArray_DescrNumPy2 *)dtype)->flags; + } + else { + return (unsigned char)((PyArray_DescrProto *)dtype)->flags; + } + } + + /* Cast to LegacyDescr always fine but needed when `legacy_only` */ + #define DESCR_ACCESSOR(FIELD, field, type, legacy_only) \ + static inline type \ + PyDataType_##FIELD(const PyArray_Descr *dtype) { \ + if (legacy_only && !PyDataType_ISLEGACY(dtype)) { \ + return (type)0; \ + } \ + if (PyArray_RUNTIME_VERSION >= NPY_2_0_API_VERSION) { \ + return ((_PyArray_LegacyDescr *)dtype)->field; \ + } \ + else { \ + return ((PyArray_DescrProto *)dtype)->field; \ + } \ + } +#endif + +DESCR_ACCESSOR(ELSIZE, elsize, npy_intp, 0) +DESCR_ACCESSOR(ALIGNMENT, alignment, npy_intp, 0) +DESCR_ACCESSOR(METADATA, metadata, PyObject *, 1) +DESCR_ACCESSOR(SUBARRAY, subarray, PyArray_ArrayDescr *, 1) +DESCR_ACCESSOR(NAMES, names, PyObject *, 1) +DESCR_ACCESSOR(FIELDS, fields, PyObject *, 1) +DESCR_ACCESSOR(C_METADATA, c_metadata, NpyAuxData *, 1) + +#undef DESCR_ACCESSOR + + +#if !(defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD) +#if NPY_FEATURE_VERSION >= NPY_2_0_API_VERSION + static inline PyArray_ArrFuncs * + PyDataType_GetArrFuncs(const PyArray_Descr *descr) + { + return _PyDataType_GetArrFuncs(descr); + } +#elif NPY_ABI_VERSION < 0x02000000 + static inline PyArray_ArrFuncs * + PyDataType_GetArrFuncs(const PyArray_Descr *descr) + { + return descr->f; + } +#else + static inline PyArray_ArrFuncs * + PyDataType_GetArrFuncs(const PyArray_Descr *descr) + { + if (PyArray_RUNTIME_VERSION >= NPY_2_0_API_VERSION) { + return _PyDataType_GetArrFuncs(descr); + } + else { + return ((PyArray_DescrProto *)descr)->f; + } + } +#endif + + +#endif /* not internal build */ + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_2_COMPAT_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_2_complexcompat.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_2_complexcompat.h new file mode 100644 index 0000000000000000000000000000000000000000..0b509011b2803b978bd913191816a9bbd6635d35 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_2_complexcompat.h @@ -0,0 +1,28 @@ +/* This header is designed to be copy-pasted into downstream packages, since it provides + a compatibility layer between the old C struct complex types and the new native C99 + complex types. The new macros are in numpy/npy_math.h, which is why it is included here. */ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_2_COMPLEXCOMPAT_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_2_COMPLEXCOMPAT_H_ + +#include + +#ifndef NPY_CSETREALF +#define NPY_CSETREALF(c, r) (c)->real = (r) +#endif +#ifndef NPY_CSETIMAGF +#define NPY_CSETIMAGF(c, i) (c)->imag = (i) +#endif +#ifndef NPY_CSETREAL +#define NPY_CSETREAL(c, r) (c)->real = (r) +#endif +#ifndef NPY_CSETIMAG +#define NPY_CSETIMAG(c, i) (c)->imag = (i) +#endif +#ifndef NPY_CSETREALL +#define NPY_CSETREALL(c, r) (c)->real = (r) +#endif +#ifndef NPY_CSETIMAGL +#define NPY_CSETIMAGL(c, i) (c)->imag = (i) +#endif + +#endif diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_3kcompat.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_3kcompat.h new file mode 100644 index 0000000000000000000000000000000000000000..c2bf74faf09d9df0df07f23e7d8b8550fe79ba5f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_3kcompat.h @@ -0,0 +1,374 @@ +/* + * This is a convenience header file providing compatibility utilities + * for supporting different minor versions of Python 3. + * It was originally used to support the transition from Python 2, + * hence the "3k" naming. + * + * If you want to use this for your own projects, it's recommended to make a + * copy of it. We don't provide backwards compatibility guarantees. + */ + +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_3KCOMPAT_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_3KCOMPAT_H_ + +#include +#include + +#include "npy_common.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* Python13 removes _PyLong_AsInt */ +static inline int +Npy__PyLong_AsInt(PyObject *obj) +{ + int overflow; + long result = PyLong_AsLongAndOverflow(obj, &overflow); + + /* INT_MAX and INT_MIN are defined in Python.h */ + if (overflow || result > INT_MAX || result < INT_MIN) { + /* XXX: could be cute and give a different + message for overflow == -1 */ + PyErr_SetString(PyExc_OverflowError, + "Python int too large to convert to C int"); + return -1; + } + return (int)result; +} + +#if defined _MSC_VER && _MSC_VER >= 1900 + +#include + +/* + * Macros to protect CRT calls against instant termination when passed an + * invalid parameter (https://bugs.python.org/issue23524). + */ +extern _invalid_parameter_handler _Py_silent_invalid_parameter_handler; +#define NPY_BEGIN_SUPPRESS_IPH { _invalid_parameter_handler _Py_old_handler = \ + _set_thread_local_invalid_parameter_handler(_Py_silent_invalid_parameter_handler); +#define NPY_END_SUPPRESS_IPH _set_thread_local_invalid_parameter_handler(_Py_old_handler); } + +#else + +#define NPY_BEGIN_SUPPRESS_IPH +#define NPY_END_SUPPRESS_IPH + +#endif /* _MSC_VER >= 1900 */ + +/* + * PyFile_* compatibility + */ + +/* + * Get a FILE* handle to the file represented by the Python object + */ +static inline FILE* +npy_PyFile_Dup2(PyObject *file, char *mode, npy_off_t *orig_pos) +{ + int fd, fd2, unbuf; + Py_ssize_t fd2_tmp; + PyObject *ret, *os, *io, *io_raw; + npy_off_t pos; + FILE *handle; + + /* Flush first to ensure things end up in the file in the correct order */ + ret = PyObject_CallMethod(file, "flush", ""); + if (ret == NULL) { + return NULL; + } + Py_DECREF(ret); + fd = PyObject_AsFileDescriptor(file); + if (fd == -1) { + return NULL; + } + + /* + * The handle needs to be dup'd because we have to call fclose + * at the end + */ + os = PyImport_ImportModule("os"); + if (os == NULL) { + return NULL; + } + ret = PyObject_CallMethod(os, "dup", "i", fd); + Py_DECREF(os); + if (ret == NULL) { + return NULL; + } + fd2_tmp = PyNumber_AsSsize_t(ret, PyExc_IOError); + Py_DECREF(ret); + if (fd2_tmp == -1 && PyErr_Occurred()) { + return NULL; + } + if (fd2_tmp < INT_MIN || fd2_tmp > INT_MAX) { + PyErr_SetString(PyExc_IOError, + "Getting an 'int' from os.dup() failed"); + return NULL; + } + fd2 = (int)fd2_tmp; + + /* Convert to FILE* handle */ +#ifdef _WIN32 + NPY_BEGIN_SUPPRESS_IPH + handle = _fdopen(fd2, mode); + NPY_END_SUPPRESS_IPH +#else + handle = fdopen(fd2, mode); +#endif + if (handle == NULL) { + PyErr_SetString(PyExc_IOError, + "Getting a FILE* from a Python file object via " + "_fdopen failed. If you built NumPy, you probably " + "linked with the wrong debug/release runtime"); + return NULL; + } + + /* Record the original raw file handle position */ + *orig_pos = npy_ftell(handle); + if (*orig_pos == -1) { + /* The io module is needed to determine if buffering is used */ + io = PyImport_ImportModule("io"); + if (io == NULL) { + fclose(handle); + return NULL; + } + /* File object instances of RawIOBase are unbuffered */ + io_raw = PyObject_GetAttrString(io, "RawIOBase"); + Py_DECREF(io); + if (io_raw == NULL) { + fclose(handle); + return NULL; + } + unbuf = PyObject_IsInstance(file, io_raw); + Py_DECREF(io_raw); + if (unbuf == 1) { + /* Succeed if the IO is unbuffered */ + return handle; + } + else { + PyErr_SetString(PyExc_IOError, "obtaining file position failed"); + fclose(handle); + return NULL; + } + } + + /* Seek raw handle to the Python-side position */ + ret = PyObject_CallMethod(file, "tell", ""); + if (ret == NULL) { + fclose(handle); + return NULL; + } + pos = PyLong_AsLongLong(ret); + Py_DECREF(ret); + if (PyErr_Occurred()) { + fclose(handle); + return NULL; + } + if (npy_fseek(handle, pos, SEEK_SET) == -1) { + PyErr_SetString(PyExc_IOError, "seeking file failed"); + fclose(handle); + return NULL; + } + return handle; +} + +/* + * Close the dup-ed file handle, and seek the Python one to the current position + */ +static inline int +npy_PyFile_DupClose2(PyObject *file, FILE* handle, npy_off_t orig_pos) +{ + int fd, unbuf; + PyObject *ret, *io, *io_raw; + npy_off_t position; + + position = npy_ftell(handle); + + /* Close the FILE* handle */ + fclose(handle); + + /* + * Restore original file handle position, in order to not confuse + * Python-side data structures + */ + fd = PyObject_AsFileDescriptor(file); + if (fd == -1) { + return -1; + } + + if (npy_lseek(fd, orig_pos, SEEK_SET) == -1) { + + /* The io module is needed to determine if buffering is used */ + io = PyImport_ImportModule("io"); + if (io == NULL) { + return -1; + } + /* File object instances of RawIOBase are unbuffered */ + io_raw = PyObject_GetAttrString(io, "RawIOBase"); + Py_DECREF(io); + if (io_raw == NULL) { + return -1; + } + unbuf = PyObject_IsInstance(file, io_raw); + Py_DECREF(io_raw); + if (unbuf == 1) { + /* Succeed if the IO is unbuffered */ + return 0; + } + else { + PyErr_SetString(PyExc_IOError, "seeking file failed"); + return -1; + } + } + + if (position == -1) { + PyErr_SetString(PyExc_IOError, "obtaining file position failed"); + return -1; + } + + /* Seek Python-side handle to the FILE* handle position */ + ret = PyObject_CallMethod(file, "seek", NPY_OFF_T_PYFMT "i", position, 0); + if (ret == NULL) { + return -1; + } + Py_DECREF(ret); + return 0; +} + +static inline PyObject* +npy_PyFile_OpenFile(PyObject *filename, const char *mode) +{ + PyObject *open; + open = PyDict_GetItemString(PyEval_GetBuiltins(), "open"); + if (open == NULL) { + return NULL; + } + return PyObject_CallFunction(open, "Os", filename, mode); +} + +static inline int +npy_PyFile_CloseFile(PyObject *file) +{ + PyObject *ret; + + ret = PyObject_CallMethod(file, "close", NULL); + if (ret == NULL) { + return -1; + } + Py_DECREF(ret); + return 0; +} + +/* This is a copy of _PyErr_ChainExceptions, which + * is no longer exported from Python3.12 + */ +static inline void +npy_PyErr_ChainExceptions(PyObject *exc, PyObject *val, PyObject *tb) +{ + if (exc == NULL) + return; + + if (PyErr_Occurred()) { + PyObject *exc2, *val2, *tb2; + PyErr_Fetch(&exc2, &val2, &tb2); + PyErr_NormalizeException(&exc, &val, &tb); + if (tb != NULL) { + PyException_SetTraceback(val, tb); + Py_DECREF(tb); + } + Py_DECREF(exc); + PyErr_NormalizeException(&exc2, &val2, &tb2); + PyException_SetContext(val2, val); + PyErr_Restore(exc2, val2, tb2); + } + else { + PyErr_Restore(exc, val, tb); + } +} + +/* This is a copy of _PyErr_ChainExceptions, with: + * __cause__ used instead of __context__ + */ +static inline void +npy_PyErr_ChainExceptionsCause(PyObject *exc, PyObject *val, PyObject *tb) +{ + if (exc == NULL) + return; + + if (PyErr_Occurred()) { + PyObject *exc2, *val2, *tb2; + PyErr_Fetch(&exc2, &val2, &tb2); + PyErr_NormalizeException(&exc, &val, &tb); + if (tb != NULL) { + PyException_SetTraceback(val, tb); + Py_DECREF(tb); + } + Py_DECREF(exc); + PyErr_NormalizeException(&exc2, &val2, &tb2); + PyException_SetCause(val2, val); + PyErr_Restore(exc2, val2, tb2); + } + else { + PyErr_Restore(exc, val, tb); + } +} + +/* + * PyCObject functions adapted to PyCapsules. + * + * The main job here is to get rid of the improved error handling + * of PyCapsules. It's a shame... + */ +static inline PyObject * +NpyCapsule_FromVoidPtr(void *ptr, void (*dtor)(PyObject *)) +{ + PyObject *ret = PyCapsule_New(ptr, NULL, dtor); + if (ret == NULL) { + PyErr_Clear(); + } + return ret; +} + +static inline PyObject * +NpyCapsule_FromVoidPtrAndDesc(void *ptr, void* context, void (*dtor)(PyObject *)) +{ + PyObject *ret = NpyCapsule_FromVoidPtr(ptr, dtor); + if (ret != NULL && PyCapsule_SetContext(ret, context) != 0) { + PyErr_Clear(); + Py_DECREF(ret); + ret = NULL; + } + return ret; +} + +static inline void * +NpyCapsule_AsVoidPtr(PyObject *obj) +{ + void *ret = PyCapsule_GetPointer(obj, NULL); + if (ret == NULL) { + PyErr_Clear(); + } + return ret; +} + +static inline void * +NpyCapsule_GetDesc(PyObject *obj) +{ + return PyCapsule_GetContext(obj); +} + +static inline int +NpyCapsule_Check(PyObject *ptr) +{ + return PyCapsule_CheckExact(ptr); +} + +#ifdef __cplusplus +} +#endif + + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_3KCOMPAT_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_common.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_common.h new file mode 100644 index 0000000000000000000000000000000000000000..79ad8ad78cb2bc68867b3002b091e5d7e7b6bc9a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_common.h @@ -0,0 +1,1070 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_COMMON_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_COMMON_H_ + +/* need Python.h for npy_intp, npy_uintp */ +#include + +/* numpconfig.h is auto-generated */ +#include "numpyconfig.h" +#ifdef HAVE_NPY_CONFIG_H +#include +#endif + +/* + * using static inline modifiers when defining npy_math functions + * allows the compiler to make optimizations when possible + */ +#ifndef NPY_INLINE_MATH +#if defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD + #define NPY_INLINE_MATH 1 +#else + #define NPY_INLINE_MATH 0 +#endif +#endif + +/* + * gcc does not unroll even with -O3 + * use with care, unrolling on modern cpus rarely speeds things up + */ +#ifdef HAVE_ATTRIBUTE_OPTIMIZE_UNROLL_LOOPS +#define NPY_GCC_UNROLL_LOOPS \ + __attribute__((optimize("unroll-loops"))) +#else +#define NPY_GCC_UNROLL_LOOPS +#endif + +/* highest gcc optimization level, enabled autovectorizer */ +#ifdef HAVE_ATTRIBUTE_OPTIMIZE_OPT_3 +#define NPY_GCC_OPT_3 __attribute__((optimize("O3"))) +#else +#define NPY_GCC_OPT_3 +#endif + +/* + * mark an argument (starting from 1) that must not be NULL and is not checked + * DO NOT USE IF FUNCTION CHECKS FOR NULL!! the compiler will remove the check + */ +#ifdef HAVE_ATTRIBUTE_NONNULL +#define NPY_GCC_NONNULL(n) __attribute__((nonnull(n))) +#else +#define NPY_GCC_NONNULL(n) +#endif + +/* + * give a hint to the compiler which branch is more likely or unlikely + * to occur, e.g. rare error cases: + * + * if (NPY_UNLIKELY(failure == 0)) + * return NULL; + * + * the double !! is to cast the expression (e.g. NULL) to a boolean required by + * the intrinsic + */ +#ifdef HAVE___BUILTIN_EXPECT +#define NPY_LIKELY(x) __builtin_expect(!!(x), 1) +#define NPY_UNLIKELY(x) __builtin_expect(!!(x), 0) +#else +#define NPY_LIKELY(x) (x) +#define NPY_UNLIKELY(x) (x) +#endif + +#ifdef HAVE___BUILTIN_PREFETCH +/* unlike _mm_prefetch also works on non-x86 */ +#define NPY_PREFETCH(x, rw, loc) __builtin_prefetch((x), (rw), (loc)) +#else +#ifdef NPY_HAVE_SSE +/* _MM_HINT_ET[01] (rw = 1) unsupported, only available in gcc >= 4.9 */ +#define NPY_PREFETCH(x, rw, loc) _mm_prefetch((x), loc == 0 ? _MM_HINT_NTA : \ + (loc == 1 ? _MM_HINT_T2 : \ + (loc == 2 ? _MM_HINT_T1 : \ + (loc == 3 ? _MM_HINT_T0 : -1)))) +#else +#define NPY_PREFETCH(x, rw,loc) +#endif +#endif + +/* `NPY_INLINE` kept for backwards compatibility; use `inline` instead */ +#if defined(_MSC_VER) && !defined(__clang__) + #define NPY_INLINE __inline +/* clang included here to handle clang-cl on Windows */ +#elif defined(__GNUC__) || defined(__clang__) + #if defined(__STRICT_ANSI__) + #define NPY_INLINE __inline__ + #else + #define NPY_INLINE inline + #endif +#else + #define NPY_INLINE +#endif + +#ifdef _MSC_VER + #define NPY_FINLINE static __forceinline +#elif defined(__GNUC__) + #define NPY_FINLINE static inline __attribute__((always_inline)) +#else + #define NPY_FINLINE static +#endif + +#if defined(_MSC_VER) + #define NPY_NOINLINE static __declspec(noinline) +#elif defined(__GNUC__) || defined(__clang__) + #define NPY_NOINLINE static __attribute__((noinline)) +#else + #define NPY_NOINLINE static +#endif + +#ifdef __cplusplus + #define NPY_TLS thread_local +#elif defined(HAVE_THREAD_LOCAL) + #define NPY_TLS thread_local +#elif defined(HAVE__THREAD_LOCAL) + #define NPY_TLS _Thread_local +#elif defined(HAVE___THREAD) + #define NPY_TLS __thread +#elif defined(HAVE___DECLSPEC_THREAD_) + #define NPY_TLS __declspec(thread) +#else + #define NPY_TLS +#endif + +#ifdef WITH_CPYCHECKER_RETURNS_BORROWED_REF_ATTRIBUTE + #define NPY_RETURNS_BORROWED_REF \ + __attribute__((cpychecker_returns_borrowed_ref)) +#else + #define NPY_RETURNS_BORROWED_REF +#endif + +#ifdef WITH_CPYCHECKER_STEALS_REFERENCE_TO_ARG_ATTRIBUTE + #define NPY_STEALS_REF_TO_ARG(n) \ + __attribute__((cpychecker_steals_reference_to_arg(n))) +#else + #define NPY_STEALS_REF_TO_ARG(n) +#endif + +/* 64 bit file position support, also on win-amd64. Issue gh-2256 */ +#if defined(_MSC_VER) && defined(_WIN64) && (_MSC_VER > 1400) || \ + defined(__MINGW32__) || defined(__MINGW64__) + #include + + #define npy_fseek _fseeki64 + #define npy_ftell _ftelli64 + #define npy_lseek _lseeki64 + #define npy_off_t npy_int64 + + #if NPY_SIZEOF_INT == 8 + #define NPY_OFF_T_PYFMT "i" + #elif NPY_SIZEOF_LONG == 8 + #define NPY_OFF_T_PYFMT "l" + #elif NPY_SIZEOF_LONGLONG == 8 + #define NPY_OFF_T_PYFMT "L" + #else + #error Unsupported size for type off_t + #endif +#else +#ifdef HAVE_FSEEKO + #define npy_fseek fseeko +#else + #define npy_fseek fseek +#endif +#ifdef HAVE_FTELLO + #define npy_ftell ftello +#else + #define npy_ftell ftell +#endif + #include + #ifndef _WIN32 + #include + #endif + #define npy_lseek lseek + #define npy_off_t off_t + + #if NPY_SIZEOF_OFF_T == NPY_SIZEOF_SHORT + #define NPY_OFF_T_PYFMT "h" + #elif NPY_SIZEOF_OFF_T == NPY_SIZEOF_INT + #define NPY_OFF_T_PYFMT "i" + #elif NPY_SIZEOF_OFF_T == NPY_SIZEOF_LONG + #define NPY_OFF_T_PYFMT "l" + #elif NPY_SIZEOF_OFF_T == NPY_SIZEOF_LONGLONG + #define NPY_OFF_T_PYFMT "L" + #else + #error Unsupported size for type off_t + #endif +#endif + +/* enums for detected endianness */ +enum { + NPY_CPU_UNKNOWN_ENDIAN, + NPY_CPU_LITTLE, + NPY_CPU_BIG +}; + +/* + * This is to typedef npy_intp to the appropriate size for Py_ssize_t. + * (Before NumPy 2.0 we used Py_intptr_t and Py_uintptr_t from `pyport.h`.) + */ +typedef Py_ssize_t npy_intp; +typedef size_t npy_uintp; + +/* + * Define sizes that were not defined in numpyconfig.h. + */ +#define NPY_SIZEOF_CHAR 1 +#define NPY_SIZEOF_BYTE 1 +#define NPY_SIZEOF_DATETIME 8 +#define NPY_SIZEOF_TIMEDELTA 8 +#define NPY_SIZEOF_HALF 2 +#define NPY_SIZEOF_CFLOAT NPY_SIZEOF_COMPLEX_FLOAT +#define NPY_SIZEOF_CDOUBLE NPY_SIZEOF_COMPLEX_DOUBLE +#define NPY_SIZEOF_CLONGDOUBLE NPY_SIZEOF_COMPLEX_LONGDOUBLE + +#ifdef constchar +#undef constchar +#endif + +#define NPY_SSIZE_T_PYFMT "n" +#define constchar char + +/* NPY_INTP_FMT Note: + * Unlike the other NPY_*_FMT macros, which are used with PyOS_snprintf, + * NPY_INTP_FMT is used with PyErr_Format and PyUnicode_FromFormat. Those + * functions use different formatting codes that are portably specified + * according to the Python documentation. See issue gh-2388. + */ +#if NPY_SIZEOF_INTP == NPY_SIZEOF_LONG + #define NPY_INTP NPY_LONG + #define NPY_UINTP NPY_ULONG + #define PyIntpArrType_Type PyLongArrType_Type + #define PyUIntpArrType_Type PyULongArrType_Type + #define NPY_MAX_INTP NPY_MAX_LONG + #define NPY_MIN_INTP NPY_MIN_LONG + #define NPY_MAX_UINTP NPY_MAX_ULONG + #define NPY_INTP_FMT "ld" +#elif NPY_SIZEOF_INTP == NPY_SIZEOF_INT + #define NPY_INTP NPY_INT + #define NPY_UINTP NPY_UINT + #define PyIntpArrType_Type PyIntArrType_Type + #define PyUIntpArrType_Type PyUIntArrType_Type + #define NPY_MAX_INTP NPY_MAX_INT + #define NPY_MIN_INTP NPY_MIN_INT + #define NPY_MAX_UINTP NPY_MAX_UINT + #define NPY_INTP_FMT "d" +#elif defined(PY_LONG_LONG) && (NPY_SIZEOF_INTP == NPY_SIZEOF_LONGLONG) + #define NPY_INTP NPY_LONGLONG + #define NPY_UINTP NPY_ULONGLONG + #define PyIntpArrType_Type PyLongLongArrType_Type + #define PyUIntpArrType_Type PyULongLongArrType_Type + #define NPY_MAX_INTP NPY_MAX_LONGLONG + #define NPY_MIN_INTP NPY_MIN_LONGLONG + #define NPY_MAX_UINTP NPY_MAX_ULONGLONG + #define NPY_INTP_FMT "lld" +#else + #error "Failed to correctly define NPY_INTP and NPY_UINTP" +#endif + + +/* + * Some platforms don't define bool, long long, or long double. + * Handle that here. + */ +#define NPY_BYTE_FMT "hhd" +#define NPY_UBYTE_FMT "hhu" +#define NPY_SHORT_FMT "hd" +#define NPY_USHORT_FMT "hu" +#define NPY_INT_FMT "d" +#define NPY_UINT_FMT "u" +#define NPY_LONG_FMT "ld" +#define NPY_ULONG_FMT "lu" +#define NPY_HALF_FMT "g" +#define NPY_FLOAT_FMT "g" +#define NPY_DOUBLE_FMT "g" + + +#ifdef PY_LONG_LONG +typedef PY_LONG_LONG npy_longlong; +typedef unsigned PY_LONG_LONG npy_ulonglong; +# ifdef _MSC_VER +# define NPY_LONGLONG_FMT "I64d" +# define NPY_ULONGLONG_FMT "I64u" +# else +# define NPY_LONGLONG_FMT "lld" +# define NPY_ULONGLONG_FMT "llu" +# endif +# ifdef _MSC_VER +# define NPY_LONGLONG_SUFFIX(x) (x##i64) +# define NPY_ULONGLONG_SUFFIX(x) (x##Ui64) +# else +# define NPY_LONGLONG_SUFFIX(x) (x##LL) +# define NPY_ULONGLONG_SUFFIX(x) (x##ULL) +# endif +#else +typedef long npy_longlong; +typedef unsigned long npy_ulonglong; +# define NPY_LONGLONG_SUFFIX(x) (x##L) +# define NPY_ULONGLONG_SUFFIX(x) (x##UL) +#endif + + +typedef unsigned char npy_bool; +#define NPY_FALSE 0 +#define NPY_TRUE 1 +/* + * `NPY_SIZEOF_LONGDOUBLE` isn't usually equal to sizeof(long double). + * In some certain cases, it may forced to be equal to sizeof(double) + * even against the compiler implementation and the same goes for + * `complex long double`. + * + * Therefore, avoid `long double`, use `npy_longdouble` instead, + * and when it comes to standard math functions make sure of using + * the double version when `NPY_SIZEOF_LONGDOUBLE` == `NPY_SIZEOF_DOUBLE`. + * For example: + * npy_longdouble *ptr, x; + * #if NPY_SIZEOF_LONGDOUBLE == NPY_SIZEOF_DOUBLE + * npy_longdouble r = modf(x, ptr); + * #else + * npy_longdouble r = modfl(x, ptr); + * #endif + * + * See https://github.com/numpy/numpy/issues/20348 + */ +#if NPY_SIZEOF_LONGDOUBLE == NPY_SIZEOF_DOUBLE + #define NPY_LONGDOUBLE_FMT "g" + #define longdouble_t double + typedef double npy_longdouble; +#else + #define NPY_LONGDOUBLE_FMT "Lg" + #define longdouble_t long double + typedef long double npy_longdouble; +#endif + +#ifndef Py_USING_UNICODE +#error Must use Python with unicode enabled. +#endif + + +typedef signed char npy_byte; +typedef unsigned char npy_ubyte; +typedef unsigned short npy_ushort; +typedef unsigned int npy_uint; +typedef unsigned long npy_ulong; + +/* These are for completeness */ +typedef char npy_char; +typedef short npy_short; +typedef int npy_int; +typedef long npy_long; +typedef float npy_float; +typedef double npy_double; + +typedef Py_hash_t npy_hash_t; +#define NPY_SIZEOF_HASH_T NPY_SIZEOF_INTP + +#if defined(__cplusplus) + +typedef struct +{ + double _Val[2]; +} npy_cdouble; + +typedef struct +{ + float _Val[2]; +} npy_cfloat; + +typedef struct +{ + long double _Val[2]; +} npy_clongdouble; + +#else + +#include + + +#if defined(_MSC_VER) && !defined(__INTEL_COMPILER) +typedef _Dcomplex npy_cdouble; +typedef _Fcomplex npy_cfloat; +typedef _Lcomplex npy_clongdouble; +#else /* !defined(_MSC_VER) || defined(__INTEL_COMPILER) */ +typedef double _Complex npy_cdouble; +typedef float _Complex npy_cfloat; +typedef longdouble_t _Complex npy_clongdouble; +#endif + +#endif + +/* + * numarray-style bit-width typedefs + */ +#define NPY_MAX_INT8 127 +#define NPY_MIN_INT8 -128 +#define NPY_MAX_UINT8 255 +#define NPY_MAX_INT16 32767 +#define NPY_MIN_INT16 -32768 +#define NPY_MAX_UINT16 65535 +#define NPY_MAX_INT32 2147483647 +#define NPY_MIN_INT32 (-NPY_MAX_INT32 - 1) +#define NPY_MAX_UINT32 4294967295U +#define NPY_MAX_INT64 NPY_LONGLONG_SUFFIX(9223372036854775807) +#define NPY_MIN_INT64 (-NPY_MAX_INT64 - NPY_LONGLONG_SUFFIX(1)) +#define NPY_MAX_UINT64 NPY_ULONGLONG_SUFFIX(18446744073709551615) +#define NPY_MAX_INT128 NPY_LONGLONG_SUFFIX(85070591730234615865843651857942052864) +#define NPY_MIN_INT128 (-NPY_MAX_INT128 - NPY_LONGLONG_SUFFIX(1)) +#define NPY_MAX_UINT128 NPY_ULONGLONG_SUFFIX(170141183460469231731687303715884105728) +#define NPY_MAX_INT256 NPY_LONGLONG_SUFFIX(57896044618658097711785492504343953926634992332820282019728792003956564819967) +#define NPY_MIN_INT256 (-NPY_MAX_INT256 - NPY_LONGLONG_SUFFIX(1)) +#define NPY_MAX_UINT256 NPY_ULONGLONG_SUFFIX(115792089237316195423570985008687907853269984665640564039457584007913129639935) +#define NPY_MIN_DATETIME NPY_MIN_INT64 +#define NPY_MAX_DATETIME NPY_MAX_INT64 +#define NPY_MIN_TIMEDELTA NPY_MIN_INT64 +#define NPY_MAX_TIMEDELTA NPY_MAX_INT64 + + /* Need to find the number of bits for each type and + make definitions accordingly. + + C states that sizeof(char) == 1 by definition + + So, just using the sizeof keyword won't help. + + It also looks like Python itself uses sizeof(char) quite a + bit, which by definition should be 1 all the time. + + Idea: Make Use of CHAR_BIT which should tell us how many + BITS per CHARACTER + */ + + /* Include platform definitions -- These are in the C89/90 standard */ +#include +#define NPY_MAX_BYTE SCHAR_MAX +#define NPY_MIN_BYTE SCHAR_MIN +#define NPY_MAX_UBYTE UCHAR_MAX +#define NPY_MAX_SHORT SHRT_MAX +#define NPY_MIN_SHORT SHRT_MIN +#define NPY_MAX_USHORT USHRT_MAX +#define NPY_MAX_INT INT_MAX +#ifndef INT_MIN +#define INT_MIN (-INT_MAX - 1) +#endif +#define NPY_MIN_INT INT_MIN +#define NPY_MAX_UINT UINT_MAX +#define NPY_MAX_LONG LONG_MAX +#define NPY_MIN_LONG LONG_MIN +#define NPY_MAX_ULONG ULONG_MAX + +#define NPY_BITSOF_BOOL (sizeof(npy_bool) * CHAR_BIT) +#define NPY_BITSOF_CHAR CHAR_BIT +#define NPY_BITSOF_BYTE (NPY_SIZEOF_BYTE * CHAR_BIT) +#define NPY_BITSOF_SHORT (NPY_SIZEOF_SHORT * CHAR_BIT) +#define NPY_BITSOF_INT (NPY_SIZEOF_INT * CHAR_BIT) +#define NPY_BITSOF_LONG (NPY_SIZEOF_LONG * CHAR_BIT) +#define NPY_BITSOF_LONGLONG (NPY_SIZEOF_LONGLONG * CHAR_BIT) +#define NPY_BITSOF_INTP (NPY_SIZEOF_INTP * CHAR_BIT) +#define NPY_BITSOF_HALF (NPY_SIZEOF_HALF * CHAR_BIT) +#define NPY_BITSOF_FLOAT (NPY_SIZEOF_FLOAT * CHAR_BIT) +#define NPY_BITSOF_DOUBLE (NPY_SIZEOF_DOUBLE * CHAR_BIT) +#define NPY_BITSOF_LONGDOUBLE (NPY_SIZEOF_LONGDOUBLE * CHAR_BIT) +#define NPY_BITSOF_CFLOAT (NPY_SIZEOF_CFLOAT * CHAR_BIT) +#define NPY_BITSOF_CDOUBLE (NPY_SIZEOF_CDOUBLE * CHAR_BIT) +#define NPY_BITSOF_CLONGDOUBLE (NPY_SIZEOF_CLONGDOUBLE * CHAR_BIT) +#define NPY_BITSOF_DATETIME (NPY_SIZEOF_DATETIME * CHAR_BIT) +#define NPY_BITSOF_TIMEDELTA (NPY_SIZEOF_TIMEDELTA * CHAR_BIT) + +#if NPY_BITSOF_LONG == 8 +#define NPY_INT8 NPY_LONG +#define NPY_UINT8 NPY_ULONG + typedef long npy_int8; + typedef unsigned long npy_uint8; +#define PyInt8ScalarObject PyLongScalarObject +#define PyInt8ArrType_Type PyLongArrType_Type +#define PyUInt8ScalarObject PyULongScalarObject +#define PyUInt8ArrType_Type PyULongArrType_Type +#define NPY_INT8_FMT NPY_LONG_FMT +#define NPY_UINT8_FMT NPY_ULONG_FMT +#elif NPY_BITSOF_LONG == 16 +#define NPY_INT16 NPY_LONG +#define NPY_UINT16 NPY_ULONG + typedef long npy_int16; + typedef unsigned long npy_uint16; +#define PyInt16ScalarObject PyLongScalarObject +#define PyInt16ArrType_Type PyLongArrType_Type +#define PyUInt16ScalarObject PyULongScalarObject +#define PyUInt16ArrType_Type PyULongArrType_Type +#define NPY_INT16_FMT NPY_LONG_FMT +#define NPY_UINT16_FMT NPY_ULONG_FMT +#elif NPY_BITSOF_LONG == 32 +#define NPY_INT32 NPY_LONG +#define NPY_UINT32 NPY_ULONG + typedef long npy_int32; + typedef unsigned long npy_uint32; + typedef unsigned long npy_ucs4; +#define PyInt32ScalarObject PyLongScalarObject +#define PyInt32ArrType_Type PyLongArrType_Type +#define PyUInt32ScalarObject PyULongScalarObject +#define PyUInt32ArrType_Type PyULongArrType_Type +#define NPY_INT32_FMT NPY_LONG_FMT +#define NPY_UINT32_FMT NPY_ULONG_FMT +#elif NPY_BITSOF_LONG == 64 +#define NPY_INT64 NPY_LONG +#define NPY_UINT64 NPY_ULONG + typedef long npy_int64; + typedef unsigned long npy_uint64; +#define PyInt64ScalarObject PyLongScalarObject +#define PyInt64ArrType_Type PyLongArrType_Type +#define PyUInt64ScalarObject PyULongScalarObject +#define PyUInt64ArrType_Type PyULongArrType_Type +#define NPY_INT64_FMT NPY_LONG_FMT +#define NPY_UINT64_FMT NPY_ULONG_FMT +#define MyPyLong_FromInt64 PyLong_FromLong +#define MyPyLong_AsInt64 PyLong_AsLong +#elif NPY_BITSOF_LONG == 128 +#define NPY_INT128 NPY_LONG +#define NPY_UINT128 NPY_ULONG + typedef long npy_int128; + typedef unsigned long npy_uint128; +#define PyInt128ScalarObject PyLongScalarObject +#define PyInt128ArrType_Type PyLongArrType_Type +#define PyUInt128ScalarObject PyULongScalarObject +#define PyUInt128ArrType_Type PyULongArrType_Type +#define NPY_INT128_FMT NPY_LONG_FMT +#define NPY_UINT128_FMT NPY_ULONG_FMT +#endif + +#if NPY_BITSOF_LONGLONG == 8 +# ifndef NPY_INT8 +# define NPY_INT8 NPY_LONGLONG +# define NPY_UINT8 NPY_ULONGLONG + typedef npy_longlong npy_int8; + typedef npy_ulonglong npy_uint8; +# define PyInt8ScalarObject PyLongLongScalarObject +# define PyInt8ArrType_Type PyLongLongArrType_Type +# define PyUInt8ScalarObject PyULongLongScalarObject +# define PyUInt8ArrType_Type PyULongLongArrType_Type +#define NPY_INT8_FMT NPY_LONGLONG_FMT +#define NPY_UINT8_FMT NPY_ULONGLONG_FMT +# endif +# define NPY_MAX_LONGLONG NPY_MAX_INT8 +# define NPY_MIN_LONGLONG NPY_MIN_INT8 +# define NPY_MAX_ULONGLONG NPY_MAX_UINT8 +#elif NPY_BITSOF_LONGLONG == 16 +# ifndef NPY_INT16 +# define NPY_INT16 NPY_LONGLONG +# define NPY_UINT16 NPY_ULONGLONG + typedef npy_longlong npy_int16; + typedef npy_ulonglong npy_uint16; +# define PyInt16ScalarObject PyLongLongScalarObject +# define PyInt16ArrType_Type PyLongLongArrType_Type +# define PyUInt16ScalarObject PyULongLongScalarObject +# define PyUInt16ArrType_Type PyULongLongArrType_Type +#define NPY_INT16_FMT NPY_LONGLONG_FMT +#define NPY_UINT16_FMT NPY_ULONGLONG_FMT +# endif +# define NPY_MAX_LONGLONG NPY_MAX_INT16 +# define NPY_MIN_LONGLONG NPY_MIN_INT16 +# define NPY_MAX_ULONGLONG NPY_MAX_UINT16 +#elif NPY_BITSOF_LONGLONG == 32 +# ifndef NPY_INT32 +# define NPY_INT32 NPY_LONGLONG +# define NPY_UINT32 NPY_ULONGLONG + typedef npy_longlong npy_int32; + typedef npy_ulonglong npy_uint32; + typedef npy_ulonglong npy_ucs4; +# define PyInt32ScalarObject PyLongLongScalarObject +# define PyInt32ArrType_Type PyLongLongArrType_Type +# define PyUInt32ScalarObject PyULongLongScalarObject +# define PyUInt32ArrType_Type PyULongLongArrType_Type +#define NPY_INT32_FMT NPY_LONGLONG_FMT +#define NPY_UINT32_FMT NPY_ULONGLONG_FMT +# endif +# define NPY_MAX_LONGLONG NPY_MAX_INT32 +# define NPY_MIN_LONGLONG NPY_MIN_INT32 +# define NPY_MAX_ULONGLONG NPY_MAX_UINT32 +#elif NPY_BITSOF_LONGLONG == 64 +# ifndef NPY_INT64 +# define NPY_INT64 NPY_LONGLONG +# define NPY_UINT64 NPY_ULONGLONG + typedef npy_longlong npy_int64; + typedef npy_ulonglong npy_uint64; +# define PyInt64ScalarObject PyLongLongScalarObject +# define PyInt64ArrType_Type PyLongLongArrType_Type +# define PyUInt64ScalarObject PyULongLongScalarObject +# define PyUInt64ArrType_Type PyULongLongArrType_Type +#define NPY_INT64_FMT NPY_LONGLONG_FMT +#define NPY_UINT64_FMT NPY_ULONGLONG_FMT +# define MyPyLong_FromInt64 PyLong_FromLongLong +# define MyPyLong_AsInt64 PyLong_AsLongLong +# endif +# define NPY_MAX_LONGLONG NPY_MAX_INT64 +# define NPY_MIN_LONGLONG NPY_MIN_INT64 +# define NPY_MAX_ULONGLONG NPY_MAX_UINT64 +#elif NPY_BITSOF_LONGLONG == 128 +# ifndef NPY_INT128 +# define NPY_INT128 NPY_LONGLONG +# define NPY_UINT128 NPY_ULONGLONG + typedef npy_longlong npy_int128; + typedef npy_ulonglong npy_uint128; +# define PyInt128ScalarObject PyLongLongScalarObject +# define PyInt128ArrType_Type PyLongLongArrType_Type +# define PyUInt128ScalarObject PyULongLongScalarObject +# define PyUInt128ArrType_Type PyULongLongArrType_Type +#define NPY_INT128_FMT NPY_LONGLONG_FMT +#define NPY_UINT128_FMT NPY_ULONGLONG_FMT +# endif +# define NPY_MAX_LONGLONG NPY_MAX_INT128 +# define NPY_MIN_LONGLONG NPY_MIN_INT128 +# define NPY_MAX_ULONGLONG NPY_MAX_UINT128 +#elif NPY_BITSOF_LONGLONG == 256 +# define NPY_INT256 NPY_LONGLONG +# define NPY_UINT256 NPY_ULONGLONG + typedef npy_longlong npy_int256; + typedef npy_ulonglong npy_uint256; +# define PyInt256ScalarObject PyLongLongScalarObject +# define PyInt256ArrType_Type PyLongLongArrType_Type +# define PyUInt256ScalarObject PyULongLongScalarObject +# define PyUInt256ArrType_Type PyULongLongArrType_Type +#define NPY_INT256_FMT NPY_LONGLONG_FMT +#define NPY_UINT256_FMT NPY_ULONGLONG_FMT +# define NPY_MAX_LONGLONG NPY_MAX_INT256 +# define NPY_MIN_LONGLONG NPY_MIN_INT256 +# define NPY_MAX_ULONGLONG NPY_MAX_UINT256 +#endif + +#if NPY_BITSOF_INT == 8 +#ifndef NPY_INT8 +#define NPY_INT8 NPY_INT +#define NPY_UINT8 NPY_UINT + typedef int npy_int8; + typedef unsigned int npy_uint8; +# define PyInt8ScalarObject PyIntScalarObject +# define PyInt8ArrType_Type PyIntArrType_Type +# define PyUInt8ScalarObject PyUIntScalarObject +# define PyUInt8ArrType_Type PyUIntArrType_Type +#define NPY_INT8_FMT NPY_INT_FMT +#define NPY_UINT8_FMT NPY_UINT_FMT +#endif +#elif NPY_BITSOF_INT == 16 +#ifndef NPY_INT16 +#define NPY_INT16 NPY_INT +#define NPY_UINT16 NPY_UINT + typedef int npy_int16; + typedef unsigned int npy_uint16; +# define PyInt16ScalarObject PyIntScalarObject +# define PyInt16ArrType_Type PyIntArrType_Type +# define PyUInt16ScalarObject PyIntUScalarObject +# define PyUInt16ArrType_Type PyIntUArrType_Type +#define NPY_INT16_FMT NPY_INT_FMT +#define NPY_UINT16_FMT NPY_UINT_FMT +#endif +#elif NPY_BITSOF_INT == 32 +#ifndef NPY_INT32 +#define NPY_INT32 NPY_INT +#define NPY_UINT32 NPY_UINT + typedef int npy_int32; + typedef unsigned int npy_uint32; + typedef unsigned int npy_ucs4; +# define PyInt32ScalarObject PyIntScalarObject +# define PyInt32ArrType_Type PyIntArrType_Type +# define PyUInt32ScalarObject PyUIntScalarObject +# define PyUInt32ArrType_Type PyUIntArrType_Type +#define NPY_INT32_FMT NPY_INT_FMT +#define NPY_UINT32_FMT NPY_UINT_FMT +#endif +#elif NPY_BITSOF_INT == 64 +#ifndef NPY_INT64 +#define NPY_INT64 NPY_INT +#define NPY_UINT64 NPY_UINT + typedef int npy_int64; + typedef unsigned int npy_uint64; +# define PyInt64ScalarObject PyIntScalarObject +# define PyInt64ArrType_Type PyIntArrType_Type +# define PyUInt64ScalarObject PyUIntScalarObject +# define PyUInt64ArrType_Type PyUIntArrType_Type +#define NPY_INT64_FMT NPY_INT_FMT +#define NPY_UINT64_FMT NPY_UINT_FMT +# define MyPyLong_FromInt64 PyLong_FromLong +# define MyPyLong_AsInt64 PyLong_AsLong +#endif +#elif NPY_BITSOF_INT == 128 +#ifndef NPY_INT128 +#define NPY_INT128 NPY_INT +#define NPY_UINT128 NPY_UINT + typedef int npy_int128; + typedef unsigned int npy_uint128; +# define PyInt128ScalarObject PyIntScalarObject +# define PyInt128ArrType_Type PyIntArrType_Type +# define PyUInt128ScalarObject PyUIntScalarObject +# define PyUInt128ArrType_Type PyUIntArrType_Type +#define NPY_INT128_FMT NPY_INT_FMT +#define NPY_UINT128_FMT NPY_UINT_FMT +#endif +#endif + +#if NPY_BITSOF_SHORT == 8 +#ifndef NPY_INT8 +#define NPY_INT8 NPY_SHORT +#define NPY_UINT8 NPY_USHORT + typedef short npy_int8; + typedef unsigned short npy_uint8; +# define PyInt8ScalarObject PyShortScalarObject +# define PyInt8ArrType_Type PyShortArrType_Type +# define PyUInt8ScalarObject PyUShortScalarObject +# define PyUInt8ArrType_Type PyUShortArrType_Type +#define NPY_INT8_FMT NPY_SHORT_FMT +#define NPY_UINT8_FMT NPY_USHORT_FMT +#endif +#elif NPY_BITSOF_SHORT == 16 +#ifndef NPY_INT16 +#define NPY_INT16 NPY_SHORT +#define NPY_UINT16 NPY_USHORT + typedef short npy_int16; + typedef unsigned short npy_uint16; +# define PyInt16ScalarObject PyShortScalarObject +# define PyInt16ArrType_Type PyShortArrType_Type +# define PyUInt16ScalarObject PyUShortScalarObject +# define PyUInt16ArrType_Type PyUShortArrType_Type +#define NPY_INT16_FMT NPY_SHORT_FMT +#define NPY_UINT16_FMT NPY_USHORT_FMT +#endif +#elif NPY_BITSOF_SHORT == 32 +#ifndef NPY_INT32 +#define NPY_INT32 NPY_SHORT +#define NPY_UINT32 NPY_USHORT + typedef short npy_int32; + typedef unsigned short npy_uint32; + typedef unsigned short npy_ucs4; +# define PyInt32ScalarObject PyShortScalarObject +# define PyInt32ArrType_Type PyShortArrType_Type +# define PyUInt32ScalarObject PyUShortScalarObject +# define PyUInt32ArrType_Type PyUShortArrType_Type +#define NPY_INT32_FMT NPY_SHORT_FMT +#define NPY_UINT32_FMT NPY_USHORT_FMT +#endif +#elif NPY_BITSOF_SHORT == 64 +#ifndef NPY_INT64 +#define NPY_INT64 NPY_SHORT +#define NPY_UINT64 NPY_USHORT + typedef short npy_int64; + typedef unsigned short npy_uint64; +# define PyInt64ScalarObject PyShortScalarObject +# define PyInt64ArrType_Type PyShortArrType_Type +# define PyUInt64ScalarObject PyUShortScalarObject +# define PyUInt64ArrType_Type PyUShortArrType_Type +#define NPY_INT64_FMT NPY_SHORT_FMT +#define NPY_UINT64_FMT NPY_USHORT_FMT +# define MyPyLong_FromInt64 PyLong_FromLong +# define MyPyLong_AsInt64 PyLong_AsLong +#endif +#elif NPY_BITSOF_SHORT == 128 +#ifndef NPY_INT128 +#define NPY_INT128 NPY_SHORT +#define NPY_UINT128 NPY_USHORT + typedef short npy_int128; + typedef unsigned short npy_uint128; +# define PyInt128ScalarObject PyShortScalarObject +# define PyInt128ArrType_Type PyShortArrType_Type +# define PyUInt128ScalarObject PyUShortScalarObject +# define PyUInt128ArrType_Type PyUShortArrType_Type +#define NPY_INT128_FMT NPY_SHORT_FMT +#define NPY_UINT128_FMT NPY_USHORT_FMT +#endif +#endif + + +#if NPY_BITSOF_CHAR == 8 +#ifndef NPY_INT8 +#define NPY_INT8 NPY_BYTE +#define NPY_UINT8 NPY_UBYTE + typedef signed char npy_int8; + typedef unsigned char npy_uint8; +# define PyInt8ScalarObject PyByteScalarObject +# define PyInt8ArrType_Type PyByteArrType_Type +# define PyUInt8ScalarObject PyUByteScalarObject +# define PyUInt8ArrType_Type PyUByteArrType_Type +#define NPY_INT8_FMT NPY_BYTE_FMT +#define NPY_UINT8_FMT NPY_UBYTE_FMT +#endif +#elif NPY_BITSOF_CHAR == 16 +#ifndef NPY_INT16 +#define NPY_INT16 NPY_BYTE +#define NPY_UINT16 NPY_UBYTE + typedef signed char npy_int16; + typedef unsigned char npy_uint16; +# define PyInt16ScalarObject PyByteScalarObject +# define PyInt16ArrType_Type PyByteArrType_Type +# define PyUInt16ScalarObject PyUByteScalarObject +# define PyUInt16ArrType_Type PyUByteArrType_Type +#define NPY_INT16_FMT NPY_BYTE_FMT +#define NPY_UINT16_FMT NPY_UBYTE_FMT +#endif +#elif NPY_BITSOF_CHAR == 32 +#ifndef NPY_INT32 +#define NPY_INT32 NPY_BYTE +#define NPY_UINT32 NPY_UBYTE + typedef signed char npy_int32; + typedef unsigned char npy_uint32; + typedef unsigned char npy_ucs4; +# define PyInt32ScalarObject PyByteScalarObject +# define PyInt32ArrType_Type PyByteArrType_Type +# define PyUInt32ScalarObject PyUByteScalarObject +# define PyUInt32ArrType_Type PyUByteArrType_Type +#define NPY_INT32_FMT NPY_BYTE_FMT +#define NPY_UINT32_FMT NPY_UBYTE_FMT +#endif +#elif NPY_BITSOF_CHAR == 64 +#ifndef NPY_INT64 +#define NPY_INT64 NPY_BYTE +#define NPY_UINT64 NPY_UBYTE + typedef signed char npy_int64; + typedef unsigned char npy_uint64; +# define PyInt64ScalarObject PyByteScalarObject +# define PyInt64ArrType_Type PyByteArrType_Type +# define PyUInt64ScalarObject PyUByteScalarObject +# define PyUInt64ArrType_Type PyUByteArrType_Type +#define NPY_INT64_FMT NPY_BYTE_FMT +#define NPY_UINT64_FMT NPY_UBYTE_FMT +# define MyPyLong_FromInt64 PyLong_FromLong +# define MyPyLong_AsInt64 PyLong_AsLong +#endif +#elif NPY_BITSOF_CHAR == 128 +#ifndef NPY_INT128 +#define NPY_INT128 NPY_BYTE +#define NPY_UINT128 NPY_UBYTE + typedef signed char npy_int128; + typedef unsigned char npy_uint128; +# define PyInt128ScalarObject PyByteScalarObject +# define PyInt128ArrType_Type PyByteArrType_Type +# define PyUInt128ScalarObject PyUByteScalarObject +# define PyUInt128ArrType_Type PyUByteArrType_Type +#define NPY_INT128_FMT NPY_BYTE_FMT +#define NPY_UINT128_FMT NPY_UBYTE_FMT +#endif +#endif + + + +#if NPY_BITSOF_DOUBLE == 32 +#ifndef NPY_FLOAT32 +#define NPY_FLOAT32 NPY_DOUBLE +#define NPY_COMPLEX64 NPY_CDOUBLE + typedef double npy_float32; + typedef npy_cdouble npy_complex64; +# define PyFloat32ScalarObject PyDoubleScalarObject +# define PyComplex64ScalarObject PyCDoubleScalarObject +# define PyFloat32ArrType_Type PyDoubleArrType_Type +# define PyComplex64ArrType_Type PyCDoubleArrType_Type +#define NPY_FLOAT32_FMT NPY_DOUBLE_FMT +#define NPY_COMPLEX64_FMT NPY_CDOUBLE_FMT +#endif +#elif NPY_BITSOF_DOUBLE == 64 +#ifndef NPY_FLOAT64 +#define NPY_FLOAT64 NPY_DOUBLE +#define NPY_COMPLEX128 NPY_CDOUBLE + typedef double npy_float64; + typedef npy_cdouble npy_complex128; +# define PyFloat64ScalarObject PyDoubleScalarObject +# define PyComplex128ScalarObject PyCDoubleScalarObject +# define PyFloat64ArrType_Type PyDoubleArrType_Type +# define PyComplex128ArrType_Type PyCDoubleArrType_Type +#define NPY_FLOAT64_FMT NPY_DOUBLE_FMT +#define NPY_COMPLEX128_FMT NPY_CDOUBLE_FMT +#endif +#elif NPY_BITSOF_DOUBLE == 80 +#ifndef NPY_FLOAT80 +#define NPY_FLOAT80 NPY_DOUBLE +#define NPY_COMPLEX160 NPY_CDOUBLE + typedef double npy_float80; + typedef npy_cdouble npy_complex160; +# define PyFloat80ScalarObject PyDoubleScalarObject +# define PyComplex160ScalarObject PyCDoubleScalarObject +# define PyFloat80ArrType_Type PyDoubleArrType_Type +# define PyComplex160ArrType_Type PyCDoubleArrType_Type +#define NPY_FLOAT80_FMT NPY_DOUBLE_FMT +#define NPY_COMPLEX160_FMT NPY_CDOUBLE_FMT +#endif +#elif NPY_BITSOF_DOUBLE == 96 +#ifndef NPY_FLOAT96 +#define NPY_FLOAT96 NPY_DOUBLE +#define NPY_COMPLEX192 NPY_CDOUBLE + typedef double npy_float96; + typedef npy_cdouble npy_complex192; +# define PyFloat96ScalarObject PyDoubleScalarObject +# define PyComplex192ScalarObject PyCDoubleScalarObject +# define PyFloat96ArrType_Type PyDoubleArrType_Type +# define PyComplex192ArrType_Type PyCDoubleArrType_Type +#define NPY_FLOAT96_FMT NPY_DOUBLE_FMT +#define NPY_COMPLEX192_FMT NPY_CDOUBLE_FMT +#endif +#elif NPY_BITSOF_DOUBLE == 128 +#ifndef NPY_FLOAT128 +#define NPY_FLOAT128 NPY_DOUBLE +#define NPY_COMPLEX256 NPY_CDOUBLE + typedef double npy_float128; + typedef npy_cdouble npy_complex256; +# define PyFloat128ScalarObject PyDoubleScalarObject +# define PyComplex256ScalarObject PyCDoubleScalarObject +# define PyFloat128ArrType_Type PyDoubleArrType_Type +# define PyComplex256ArrType_Type PyCDoubleArrType_Type +#define NPY_FLOAT128_FMT NPY_DOUBLE_FMT +#define NPY_COMPLEX256_FMT NPY_CDOUBLE_FMT +#endif +#endif + + + +#if NPY_BITSOF_FLOAT == 32 +#ifndef NPY_FLOAT32 +#define NPY_FLOAT32 NPY_FLOAT +#define NPY_COMPLEX64 NPY_CFLOAT + typedef float npy_float32; + typedef npy_cfloat npy_complex64; +# define PyFloat32ScalarObject PyFloatScalarObject +# define PyComplex64ScalarObject PyCFloatScalarObject +# define PyFloat32ArrType_Type PyFloatArrType_Type +# define PyComplex64ArrType_Type PyCFloatArrType_Type +#define NPY_FLOAT32_FMT NPY_FLOAT_FMT +#define NPY_COMPLEX64_FMT NPY_CFLOAT_FMT +#endif +#elif NPY_BITSOF_FLOAT == 64 +#ifndef NPY_FLOAT64 +#define NPY_FLOAT64 NPY_FLOAT +#define NPY_COMPLEX128 NPY_CFLOAT + typedef float npy_float64; + typedef npy_cfloat npy_complex128; +# define PyFloat64ScalarObject PyFloatScalarObject +# define PyComplex128ScalarObject PyCFloatScalarObject +# define PyFloat64ArrType_Type PyFloatArrType_Type +# define PyComplex128ArrType_Type PyCFloatArrType_Type +#define NPY_FLOAT64_FMT NPY_FLOAT_FMT +#define NPY_COMPLEX128_FMT NPY_CFLOAT_FMT +#endif +#elif NPY_BITSOF_FLOAT == 80 +#ifndef NPY_FLOAT80 +#define NPY_FLOAT80 NPY_FLOAT +#define NPY_COMPLEX160 NPY_CFLOAT + typedef float npy_float80; + typedef npy_cfloat npy_complex160; +# define PyFloat80ScalarObject PyFloatScalarObject +# define PyComplex160ScalarObject PyCFloatScalarObject +# define PyFloat80ArrType_Type PyFloatArrType_Type +# define PyComplex160ArrType_Type PyCFloatArrType_Type +#define NPY_FLOAT80_FMT NPY_FLOAT_FMT +#define NPY_COMPLEX160_FMT NPY_CFLOAT_FMT +#endif +#elif NPY_BITSOF_FLOAT == 96 +#ifndef NPY_FLOAT96 +#define NPY_FLOAT96 NPY_FLOAT +#define NPY_COMPLEX192 NPY_CFLOAT + typedef float npy_float96; + typedef npy_cfloat npy_complex192; +# define PyFloat96ScalarObject PyFloatScalarObject +# define PyComplex192ScalarObject PyCFloatScalarObject +# define PyFloat96ArrType_Type PyFloatArrType_Type +# define PyComplex192ArrType_Type PyCFloatArrType_Type +#define NPY_FLOAT96_FMT NPY_FLOAT_FMT +#define NPY_COMPLEX192_FMT NPY_CFLOAT_FMT +#endif +#elif NPY_BITSOF_FLOAT == 128 +#ifndef NPY_FLOAT128 +#define NPY_FLOAT128 NPY_FLOAT +#define NPY_COMPLEX256 NPY_CFLOAT + typedef float npy_float128; + typedef npy_cfloat npy_complex256; +# define PyFloat128ScalarObject PyFloatScalarObject +# define PyComplex256ScalarObject PyCFloatScalarObject +# define PyFloat128ArrType_Type PyFloatArrType_Type +# define PyComplex256ArrType_Type PyCFloatArrType_Type +#define NPY_FLOAT128_FMT NPY_FLOAT_FMT +#define NPY_COMPLEX256_FMT NPY_CFLOAT_FMT +#endif +#endif + +/* half/float16 isn't a floating-point type in C */ +#define NPY_FLOAT16 NPY_HALF +typedef npy_uint16 npy_half; +typedef npy_half npy_float16; + +#if NPY_BITSOF_LONGDOUBLE == 32 +#ifndef NPY_FLOAT32 +#define NPY_FLOAT32 NPY_LONGDOUBLE +#define NPY_COMPLEX64 NPY_CLONGDOUBLE + typedef npy_longdouble npy_float32; + typedef npy_clongdouble npy_complex64; +# define PyFloat32ScalarObject PyLongDoubleScalarObject +# define PyComplex64ScalarObject PyCLongDoubleScalarObject +# define PyFloat32ArrType_Type PyLongDoubleArrType_Type +# define PyComplex64ArrType_Type PyCLongDoubleArrType_Type +#define NPY_FLOAT32_FMT NPY_LONGDOUBLE_FMT +#define NPY_COMPLEX64_FMT NPY_CLONGDOUBLE_FMT +#endif +#elif NPY_BITSOF_LONGDOUBLE == 64 +#ifndef NPY_FLOAT64 +#define NPY_FLOAT64 NPY_LONGDOUBLE +#define NPY_COMPLEX128 NPY_CLONGDOUBLE + typedef npy_longdouble npy_float64; + typedef npy_clongdouble npy_complex128; +# define PyFloat64ScalarObject PyLongDoubleScalarObject +# define PyComplex128ScalarObject PyCLongDoubleScalarObject +# define PyFloat64ArrType_Type PyLongDoubleArrType_Type +# define PyComplex128ArrType_Type PyCLongDoubleArrType_Type +#define NPY_FLOAT64_FMT NPY_LONGDOUBLE_FMT +#define NPY_COMPLEX128_FMT NPY_CLONGDOUBLE_FMT +#endif +#elif NPY_BITSOF_LONGDOUBLE == 80 +#ifndef NPY_FLOAT80 +#define NPY_FLOAT80 NPY_LONGDOUBLE +#define NPY_COMPLEX160 NPY_CLONGDOUBLE + typedef npy_longdouble npy_float80; + typedef npy_clongdouble npy_complex160; +# define PyFloat80ScalarObject PyLongDoubleScalarObject +# define PyComplex160ScalarObject PyCLongDoubleScalarObject +# define PyFloat80ArrType_Type PyLongDoubleArrType_Type +# define PyComplex160ArrType_Type PyCLongDoubleArrType_Type +#define NPY_FLOAT80_FMT NPY_LONGDOUBLE_FMT +#define NPY_COMPLEX160_FMT NPY_CLONGDOUBLE_FMT +#endif +#elif NPY_BITSOF_LONGDOUBLE == 96 +#ifndef NPY_FLOAT96 +#define NPY_FLOAT96 NPY_LONGDOUBLE +#define NPY_COMPLEX192 NPY_CLONGDOUBLE + typedef npy_longdouble npy_float96; + typedef npy_clongdouble npy_complex192; +# define PyFloat96ScalarObject PyLongDoubleScalarObject +# define PyComplex192ScalarObject PyCLongDoubleScalarObject +# define PyFloat96ArrType_Type PyLongDoubleArrType_Type +# define PyComplex192ArrType_Type PyCLongDoubleArrType_Type +#define NPY_FLOAT96_FMT NPY_LONGDOUBLE_FMT +#define NPY_COMPLEX192_FMT NPY_CLONGDOUBLE_FMT +#endif +#elif NPY_BITSOF_LONGDOUBLE == 128 +#ifndef NPY_FLOAT128 +#define NPY_FLOAT128 NPY_LONGDOUBLE +#define NPY_COMPLEX256 NPY_CLONGDOUBLE + typedef npy_longdouble npy_float128; + typedef npy_clongdouble npy_complex256; +# define PyFloat128ScalarObject PyLongDoubleScalarObject +# define PyComplex256ScalarObject PyCLongDoubleScalarObject +# define PyFloat128ArrType_Type PyLongDoubleArrType_Type +# define PyComplex256ArrType_Type PyCLongDoubleArrType_Type +#define NPY_FLOAT128_FMT NPY_LONGDOUBLE_FMT +#define NPY_COMPLEX256_FMT NPY_CLONGDOUBLE_FMT +#endif +#elif NPY_BITSOF_LONGDOUBLE == 256 +#define NPY_FLOAT256 NPY_LONGDOUBLE +#define NPY_COMPLEX512 NPY_CLONGDOUBLE + typedef npy_longdouble npy_float256; + typedef npy_clongdouble npy_complex512; +# define PyFloat256ScalarObject PyLongDoubleScalarObject +# define PyComplex512ScalarObject PyCLongDoubleScalarObject +# define PyFloat256ArrType_Type PyLongDoubleArrType_Type +# define PyComplex512ArrType_Type PyCLongDoubleArrType_Type +#define NPY_FLOAT256_FMT NPY_LONGDOUBLE_FMT +#define NPY_COMPLEX512_FMT NPY_CLONGDOUBLE_FMT +#endif + +/* datetime typedefs */ +typedef npy_int64 npy_timedelta; +typedef npy_int64 npy_datetime; +#define NPY_DATETIME_FMT NPY_INT64_FMT +#define NPY_TIMEDELTA_FMT NPY_INT64_FMT + +/* End of typedefs for numarray style bit-width names */ + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_COMMON_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_cpu.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_cpu.h new file mode 100644 index 0000000000000000000000000000000000000000..15f9f12931c82f0be8bfe6e32903754c5915485d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_cpu.h @@ -0,0 +1,134 @@ +/* + * This set (target) cpu specific macros: + * - Possible values: + * NPY_CPU_X86 + * NPY_CPU_AMD64 + * NPY_CPU_PPC + * NPY_CPU_PPC64 + * NPY_CPU_PPC64LE + * NPY_CPU_SPARC + * NPY_CPU_S390 + * NPY_CPU_IA64 + * NPY_CPU_HPPA + * NPY_CPU_ALPHA + * NPY_CPU_ARMEL + * NPY_CPU_ARMEB + * NPY_CPU_SH_LE + * NPY_CPU_SH_BE + * NPY_CPU_ARCEL + * NPY_CPU_ARCEB + * NPY_CPU_RISCV64 + * NPY_CPU_RISCV32 + * NPY_CPU_LOONGARCH + * NPY_CPU_WASM + */ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_CPU_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_CPU_H_ + +#include "numpyconfig.h" + +#if defined( __i386__ ) || defined(i386) || defined(_M_IX86) + /* + * __i386__ is defined by gcc and Intel compiler on Linux, + * _M_IX86 by VS compiler, + * i386 by Sun compilers on opensolaris at least + */ + #define NPY_CPU_X86 +#elif defined(__x86_64__) || defined(__amd64__) || defined(__x86_64) || defined(_M_AMD64) + /* + * both __x86_64__ and __amd64__ are defined by gcc + * __x86_64 defined by sun compiler on opensolaris at least + * _M_AMD64 defined by MS compiler + */ + #define NPY_CPU_AMD64 +#elif defined(__powerpc64__) && defined(__LITTLE_ENDIAN__) + #define NPY_CPU_PPC64LE +#elif defined(__powerpc64__) && defined(__BIG_ENDIAN__) + #define NPY_CPU_PPC64 +#elif defined(__ppc__) || defined(__powerpc__) || defined(_ARCH_PPC) + /* + * __ppc__ is defined by gcc, I remember having seen __powerpc__ once, + * but can't find it ATM + * _ARCH_PPC is used by at least gcc on AIX + * As __powerpc__ and _ARCH_PPC are also defined by PPC64 check + * for those specifically first before defaulting to ppc + */ + #define NPY_CPU_PPC +#elif defined(__sparc__) || defined(__sparc) + /* __sparc__ is defined by gcc and Forte (e.g. Sun) compilers */ + #define NPY_CPU_SPARC +#elif defined(__s390__) + #define NPY_CPU_S390 +#elif defined(__ia64) + #define NPY_CPU_IA64 +#elif defined(__hppa) + #define NPY_CPU_HPPA +#elif defined(__alpha__) + #define NPY_CPU_ALPHA +#elif defined(__arm__) || defined(__aarch64__) || defined(_M_ARM64) + /* _M_ARM64 is defined in MSVC for ARM64 compilation on Windows */ + #if defined(__ARMEB__) || defined(__AARCH64EB__) + #if defined(__ARM_32BIT_STATE) + #define NPY_CPU_ARMEB_AARCH32 + #elif defined(__ARM_64BIT_STATE) + #define NPY_CPU_ARMEB_AARCH64 + #else + #define NPY_CPU_ARMEB + #endif + #elif defined(__ARMEL__) || defined(__AARCH64EL__) || defined(_M_ARM64) + #if defined(__ARM_32BIT_STATE) + #define NPY_CPU_ARMEL_AARCH32 + #elif defined(__ARM_64BIT_STATE) || defined(_M_ARM64) || defined(__AARCH64EL__) + #define NPY_CPU_ARMEL_AARCH64 + #else + #define NPY_CPU_ARMEL + #endif + #else + # error Unknown ARM CPU, please report this to numpy maintainers with \ + information about your platform (OS, CPU and compiler) + #endif +#elif defined(__sh__) && defined(__LITTLE_ENDIAN__) + #define NPY_CPU_SH_LE +#elif defined(__sh__) && defined(__BIG_ENDIAN__) + #define NPY_CPU_SH_BE +#elif defined(__MIPSEL__) + #define NPY_CPU_MIPSEL +#elif defined(__MIPSEB__) + #define NPY_CPU_MIPSEB +#elif defined(__or1k__) + #define NPY_CPU_OR1K +#elif defined(__mc68000__) + #define NPY_CPU_M68K +#elif defined(__arc__) && defined(__LITTLE_ENDIAN__) + #define NPY_CPU_ARCEL +#elif defined(__arc__) && defined(__BIG_ENDIAN__) + #define NPY_CPU_ARCEB +#elif defined(__riscv) + #if __riscv_xlen == 64 + #define NPY_CPU_RISCV64 + #elif __riscv_xlen == 32 + #define NPY_CPU_RISCV32 + #endif +#elif defined(__loongarch__) + #define NPY_CPU_LOONGARCH +#elif defined(__EMSCRIPTEN__) + /* __EMSCRIPTEN__ is defined by emscripten: an LLVM-to-Web compiler */ + #define NPY_CPU_WASM +#else + #error Unknown CPU, please report this to numpy maintainers with \ + information about your platform (OS, CPU and compiler) +#endif + +/* + * Except for the following architectures, memory access is limited to the natural + * alignment of data types otherwise it may lead to bus error or performance regression. + * For more details about unaligned access, see https://www.kernel.org/doc/Documentation/unaligned-memory-access.txt. +*/ +#if defined(NPY_CPU_X86) || defined(NPY_CPU_AMD64) || defined(__aarch64__) || defined(__powerpc64__) + #define NPY_ALIGNMENT_REQUIRED 0 +#endif +#ifndef NPY_ALIGNMENT_REQUIRED + #define NPY_ALIGNMENT_REQUIRED 1 +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_CPU_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_endian.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_endian.h new file mode 100644 index 0000000000000000000000000000000000000000..09262120bf82c5065d1f914a5825ce2de0063d4d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_endian.h @@ -0,0 +1,78 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_ENDIAN_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_ENDIAN_H_ + +/* + * NPY_BYTE_ORDER is set to the same value as BYTE_ORDER set by glibc in + * endian.h + */ + +#if defined(NPY_HAVE_ENDIAN_H) || defined(NPY_HAVE_SYS_ENDIAN_H) + /* Use endian.h if available */ + + #if defined(NPY_HAVE_ENDIAN_H) + #include + #elif defined(NPY_HAVE_SYS_ENDIAN_H) + #include + #endif + + #if defined(BYTE_ORDER) && defined(BIG_ENDIAN) && defined(LITTLE_ENDIAN) + #define NPY_BYTE_ORDER BYTE_ORDER + #define NPY_LITTLE_ENDIAN LITTLE_ENDIAN + #define NPY_BIG_ENDIAN BIG_ENDIAN + #elif defined(_BYTE_ORDER) && defined(_BIG_ENDIAN) && defined(_LITTLE_ENDIAN) + #define NPY_BYTE_ORDER _BYTE_ORDER + #define NPY_LITTLE_ENDIAN _LITTLE_ENDIAN + #define NPY_BIG_ENDIAN _BIG_ENDIAN + #elif defined(__BYTE_ORDER) && defined(__BIG_ENDIAN) && defined(__LITTLE_ENDIAN) + #define NPY_BYTE_ORDER __BYTE_ORDER + #define NPY_LITTLE_ENDIAN __LITTLE_ENDIAN + #define NPY_BIG_ENDIAN __BIG_ENDIAN + #endif +#endif + +#ifndef NPY_BYTE_ORDER + /* Set endianness info using target CPU */ + #include "npy_cpu.h" + + #define NPY_LITTLE_ENDIAN 1234 + #define NPY_BIG_ENDIAN 4321 + + #if defined(NPY_CPU_X86) \ + || defined(NPY_CPU_AMD64) \ + || defined(NPY_CPU_IA64) \ + || defined(NPY_CPU_ALPHA) \ + || defined(NPY_CPU_ARMEL) \ + || defined(NPY_CPU_ARMEL_AARCH32) \ + || defined(NPY_CPU_ARMEL_AARCH64) \ + || defined(NPY_CPU_SH_LE) \ + || defined(NPY_CPU_MIPSEL) \ + || defined(NPY_CPU_PPC64LE) \ + || defined(NPY_CPU_ARCEL) \ + || defined(NPY_CPU_RISCV64) \ + || defined(NPY_CPU_RISCV32) \ + || defined(NPY_CPU_LOONGARCH) \ + || defined(NPY_CPU_WASM) + #define NPY_BYTE_ORDER NPY_LITTLE_ENDIAN + + #elif defined(NPY_CPU_PPC) \ + || defined(NPY_CPU_SPARC) \ + || defined(NPY_CPU_S390) \ + || defined(NPY_CPU_HPPA) \ + || defined(NPY_CPU_PPC64) \ + || defined(NPY_CPU_ARMEB) \ + || defined(NPY_CPU_ARMEB_AARCH32) \ + || defined(NPY_CPU_ARMEB_AARCH64) \ + || defined(NPY_CPU_SH_BE) \ + || defined(NPY_CPU_MIPSEB) \ + || defined(NPY_CPU_OR1K) \ + || defined(NPY_CPU_M68K) \ + || defined(NPY_CPU_ARCEB) + #define NPY_BYTE_ORDER NPY_BIG_ENDIAN + + #else + #error Unknown CPU: can not set endianness + #endif + +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_ENDIAN_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_math.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_math.h new file mode 100644 index 0000000000000000000000000000000000000000..abc784bc686c18d162a4730a7c60393622023aae --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_math.h @@ -0,0 +1,602 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_MATH_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_MATH_H_ + +#include + +#include + +/* By adding static inline specifiers to npy_math function definitions when + appropriate, compiler is given the opportunity to optimize */ +#if NPY_INLINE_MATH +#define NPY_INPLACE static inline +#else +#define NPY_INPLACE +#endif + + +#ifdef __cplusplus +extern "C" { +#endif + +#define PyArray_MAX(a,b) (((a)>(b))?(a):(b)) +#define PyArray_MIN(a,b) (((a)<(b))?(a):(b)) + +/* + * NAN and INFINITY like macros (same behavior as glibc for NAN, same as C99 + * for INFINITY) + * + * XXX: I should test whether INFINITY and NAN are available on the platform + */ +static inline float __npy_inff(void) +{ + const union { npy_uint32 __i; float __f;} __bint = {0x7f800000UL}; + return __bint.__f; +} + +static inline float __npy_nanf(void) +{ + const union { npy_uint32 __i; float __f;} __bint = {0x7fc00000UL}; + return __bint.__f; +} + +static inline float __npy_pzerof(void) +{ + const union { npy_uint32 __i; float __f;} __bint = {0x00000000UL}; + return __bint.__f; +} + +static inline float __npy_nzerof(void) +{ + const union { npy_uint32 __i; float __f;} __bint = {0x80000000UL}; + return __bint.__f; +} + +#define NPY_INFINITYF __npy_inff() +#define NPY_NANF __npy_nanf() +#define NPY_PZEROF __npy_pzerof() +#define NPY_NZEROF __npy_nzerof() + +#define NPY_INFINITY ((npy_double)NPY_INFINITYF) +#define NPY_NAN ((npy_double)NPY_NANF) +#define NPY_PZERO ((npy_double)NPY_PZEROF) +#define NPY_NZERO ((npy_double)NPY_NZEROF) + +#define NPY_INFINITYL ((npy_longdouble)NPY_INFINITYF) +#define NPY_NANL ((npy_longdouble)NPY_NANF) +#define NPY_PZEROL ((npy_longdouble)NPY_PZEROF) +#define NPY_NZEROL ((npy_longdouble)NPY_NZEROF) + +/* + * Useful constants + */ +#define NPY_E 2.718281828459045235360287471352662498 /* e */ +#define NPY_LOG2E 1.442695040888963407359924681001892137 /* log_2 e */ +#define NPY_LOG10E 0.434294481903251827651128918916605082 /* log_10 e */ +#define NPY_LOGE2 0.693147180559945309417232121458176568 /* log_e 2 */ +#define NPY_LOGE10 2.302585092994045684017991454684364208 /* log_e 10 */ +#define NPY_PI 3.141592653589793238462643383279502884 /* pi */ +#define NPY_PI_2 1.570796326794896619231321691639751442 /* pi/2 */ +#define NPY_PI_4 0.785398163397448309615660845819875721 /* pi/4 */ +#define NPY_1_PI 0.318309886183790671537767526745028724 /* 1/pi */ +#define NPY_2_PI 0.636619772367581343075535053490057448 /* 2/pi */ +#define NPY_EULER 0.577215664901532860606512090082402431 /* Euler constant */ +#define NPY_SQRT2 1.414213562373095048801688724209698079 /* sqrt(2) */ +#define NPY_SQRT1_2 0.707106781186547524400844362104849039 /* 1/sqrt(2) */ + +#define NPY_Ef 2.718281828459045235360287471352662498F /* e */ +#define NPY_LOG2Ef 1.442695040888963407359924681001892137F /* log_2 e */ +#define NPY_LOG10Ef 0.434294481903251827651128918916605082F /* log_10 e */ +#define NPY_LOGE2f 0.693147180559945309417232121458176568F /* log_e 2 */ +#define NPY_LOGE10f 2.302585092994045684017991454684364208F /* log_e 10 */ +#define NPY_PIf 3.141592653589793238462643383279502884F /* pi */ +#define NPY_PI_2f 1.570796326794896619231321691639751442F /* pi/2 */ +#define NPY_PI_4f 0.785398163397448309615660845819875721F /* pi/4 */ +#define NPY_1_PIf 0.318309886183790671537767526745028724F /* 1/pi */ +#define NPY_2_PIf 0.636619772367581343075535053490057448F /* 2/pi */ +#define NPY_EULERf 0.577215664901532860606512090082402431F /* Euler constant */ +#define NPY_SQRT2f 1.414213562373095048801688724209698079F /* sqrt(2) */ +#define NPY_SQRT1_2f 0.707106781186547524400844362104849039F /* 1/sqrt(2) */ + +#define NPY_El 2.718281828459045235360287471352662498L /* e */ +#define NPY_LOG2El 1.442695040888963407359924681001892137L /* log_2 e */ +#define NPY_LOG10El 0.434294481903251827651128918916605082L /* log_10 e */ +#define NPY_LOGE2l 0.693147180559945309417232121458176568L /* log_e 2 */ +#define NPY_LOGE10l 2.302585092994045684017991454684364208L /* log_e 10 */ +#define NPY_PIl 3.141592653589793238462643383279502884L /* pi */ +#define NPY_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */ +#define NPY_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */ +#define NPY_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */ +#define NPY_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */ +#define NPY_EULERl 0.577215664901532860606512090082402431L /* Euler constant */ +#define NPY_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */ +#define NPY_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */ + +/* + * Integer functions. + */ +NPY_INPLACE npy_uint npy_gcdu(npy_uint a, npy_uint b); +NPY_INPLACE npy_uint npy_lcmu(npy_uint a, npy_uint b); +NPY_INPLACE npy_ulong npy_gcdul(npy_ulong a, npy_ulong b); +NPY_INPLACE npy_ulong npy_lcmul(npy_ulong a, npy_ulong b); +NPY_INPLACE npy_ulonglong npy_gcdull(npy_ulonglong a, npy_ulonglong b); +NPY_INPLACE npy_ulonglong npy_lcmull(npy_ulonglong a, npy_ulonglong b); + +NPY_INPLACE npy_int npy_gcd(npy_int a, npy_int b); +NPY_INPLACE npy_int npy_lcm(npy_int a, npy_int b); +NPY_INPLACE npy_long npy_gcdl(npy_long a, npy_long b); +NPY_INPLACE npy_long npy_lcml(npy_long a, npy_long b); +NPY_INPLACE npy_longlong npy_gcdll(npy_longlong a, npy_longlong b); +NPY_INPLACE npy_longlong npy_lcmll(npy_longlong a, npy_longlong b); + +NPY_INPLACE npy_ubyte npy_rshiftuhh(npy_ubyte a, npy_ubyte b); +NPY_INPLACE npy_ubyte npy_lshiftuhh(npy_ubyte a, npy_ubyte b); +NPY_INPLACE npy_ushort npy_rshiftuh(npy_ushort a, npy_ushort b); +NPY_INPLACE npy_ushort npy_lshiftuh(npy_ushort a, npy_ushort b); +NPY_INPLACE npy_uint npy_rshiftu(npy_uint a, npy_uint b); +NPY_INPLACE npy_uint npy_lshiftu(npy_uint a, npy_uint b); +NPY_INPLACE npy_ulong npy_rshiftul(npy_ulong a, npy_ulong b); +NPY_INPLACE npy_ulong npy_lshiftul(npy_ulong a, npy_ulong b); +NPY_INPLACE npy_ulonglong npy_rshiftull(npy_ulonglong a, npy_ulonglong b); +NPY_INPLACE npy_ulonglong npy_lshiftull(npy_ulonglong a, npy_ulonglong b); + +NPY_INPLACE npy_byte npy_rshifthh(npy_byte a, npy_byte b); +NPY_INPLACE npy_byte npy_lshifthh(npy_byte a, npy_byte b); +NPY_INPLACE npy_short npy_rshifth(npy_short a, npy_short b); +NPY_INPLACE npy_short npy_lshifth(npy_short a, npy_short b); +NPY_INPLACE npy_int npy_rshift(npy_int a, npy_int b); +NPY_INPLACE npy_int npy_lshift(npy_int a, npy_int b); +NPY_INPLACE npy_long npy_rshiftl(npy_long a, npy_long b); +NPY_INPLACE npy_long npy_lshiftl(npy_long a, npy_long b); +NPY_INPLACE npy_longlong npy_rshiftll(npy_longlong a, npy_longlong b); +NPY_INPLACE npy_longlong npy_lshiftll(npy_longlong a, npy_longlong b); + +NPY_INPLACE uint8_t npy_popcountuhh(npy_ubyte a); +NPY_INPLACE uint8_t npy_popcountuh(npy_ushort a); +NPY_INPLACE uint8_t npy_popcountu(npy_uint a); +NPY_INPLACE uint8_t npy_popcountul(npy_ulong a); +NPY_INPLACE uint8_t npy_popcountull(npy_ulonglong a); +NPY_INPLACE uint8_t npy_popcounthh(npy_byte a); +NPY_INPLACE uint8_t npy_popcounth(npy_short a); +NPY_INPLACE uint8_t npy_popcount(npy_int a); +NPY_INPLACE uint8_t npy_popcountl(npy_long a); +NPY_INPLACE uint8_t npy_popcountll(npy_longlong a); + +/* + * C99 double math funcs that need fixups or are blocklist-able + */ +NPY_INPLACE double npy_sin(double x); +NPY_INPLACE double npy_cos(double x); +NPY_INPLACE double npy_tan(double x); +NPY_INPLACE double npy_hypot(double x, double y); +NPY_INPLACE double npy_log2(double x); +NPY_INPLACE double npy_atan2(double x, double y); + +/* Mandatory C99 double math funcs, no blocklisting or fixups */ +/* defined for legacy reasons, should be deprecated at some point */ +#define npy_sinh sinh +#define npy_cosh cosh +#define npy_tanh tanh +#define npy_asin asin +#define npy_acos acos +#define npy_atan atan +#define npy_log log +#define npy_log10 log10 +#define npy_cbrt cbrt +#define npy_fabs fabs +#define npy_ceil ceil +#define npy_fmod fmod +#define npy_floor floor +#define npy_expm1 expm1 +#define npy_log1p log1p +#define npy_acosh acosh +#define npy_asinh asinh +#define npy_atanh atanh +#define npy_rint rint +#define npy_trunc trunc +#define npy_exp2 exp2 +#define npy_frexp frexp +#define npy_ldexp ldexp +#define npy_copysign copysign +#define npy_exp exp +#define npy_sqrt sqrt +#define npy_pow pow +#define npy_modf modf +#define npy_nextafter nextafter + +double npy_spacing(double x); + +/* + * IEEE 754 fpu handling + */ + +/* use builtins to avoid function calls in tight loops + * only available if npy_config.h is available (= numpys own build) */ +#ifdef HAVE___BUILTIN_ISNAN + #define npy_isnan(x) __builtin_isnan(x) +#else + #define npy_isnan(x) isnan(x) +#endif + + +/* only available if npy_config.h is available (= numpys own build) */ +#ifdef HAVE___BUILTIN_ISFINITE + #define npy_isfinite(x) __builtin_isfinite(x) +#else + #define npy_isfinite(x) isfinite((x)) +#endif + +/* only available if npy_config.h is available (= numpys own build) */ +#ifdef HAVE___BUILTIN_ISINF + #define npy_isinf(x) __builtin_isinf(x) +#else + #define npy_isinf(x) isinf((x)) +#endif + +#define npy_signbit(x) signbit((x)) + +/* + * float C99 math funcs that need fixups or are blocklist-able + */ +NPY_INPLACE float npy_sinf(float x); +NPY_INPLACE float npy_cosf(float x); +NPY_INPLACE float npy_tanf(float x); +NPY_INPLACE float npy_expf(float x); +NPY_INPLACE float npy_sqrtf(float x); +NPY_INPLACE float npy_hypotf(float x, float y); +NPY_INPLACE float npy_log2f(float x); +NPY_INPLACE float npy_atan2f(float x, float y); +NPY_INPLACE float npy_powf(float x, float y); +NPY_INPLACE float npy_modff(float x, float* y); + +/* Mandatory C99 float math funcs, no blocklisting or fixups */ +/* defined for legacy reasons, should be deprecated at some point */ + +#define npy_sinhf sinhf +#define npy_coshf coshf +#define npy_tanhf tanhf +#define npy_asinf asinf +#define npy_acosf acosf +#define npy_atanf atanf +#define npy_logf logf +#define npy_log10f log10f +#define npy_cbrtf cbrtf +#define npy_fabsf fabsf +#define npy_ceilf ceilf +#define npy_fmodf fmodf +#define npy_floorf floorf +#define npy_expm1f expm1f +#define npy_log1pf log1pf +#define npy_asinhf asinhf +#define npy_acoshf acoshf +#define npy_atanhf atanhf +#define npy_rintf rintf +#define npy_truncf truncf +#define npy_exp2f exp2f +#define npy_frexpf frexpf +#define npy_ldexpf ldexpf +#define npy_copysignf copysignf +#define npy_nextafterf nextafterf + +float npy_spacingf(float x); + +/* + * long double C99 double math funcs that need fixups or are blocklist-able + */ +NPY_INPLACE npy_longdouble npy_sinl(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_cosl(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_tanl(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_expl(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_sqrtl(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_hypotl(npy_longdouble x, npy_longdouble y); +NPY_INPLACE npy_longdouble npy_log2l(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_atan2l(npy_longdouble x, npy_longdouble y); +NPY_INPLACE npy_longdouble npy_powl(npy_longdouble x, npy_longdouble y); +NPY_INPLACE npy_longdouble npy_modfl(npy_longdouble x, npy_longdouble* y); + +/* Mandatory C99 double math funcs, no blocklisting or fixups */ +/* defined for legacy reasons, should be deprecated at some point */ +#define npy_sinhl sinhl +#define npy_coshl coshl +#define npy_tanhl tanhl +#define npy_fabsl fabsl +#define npy_floorl floorl +#define npy_ceill ceill +#define npy_rintl rintl +#define npy_truncl truncl +#define npy_cbrtl cbrtl +#define npy_log10l log10l +#define npy_logl logl +#define npy_expm1l expm1l +#define npy_asinl asinl +#define npy_acosl acosl +#define npy_atanl atanl +#define npy_asinhl asinhl +#define npy_acoshl acoshl +#define npy_atanhl atanhl +#define npy_log1pl log1pl +#define npy_exp2l exp2l +#define npy_fmodl fmodl +#define npy_frexpl frexpl +#define npy_ldexpl ldexpl +#define npy_copysignl copysignl +#define npy_nextafterl nextafterl + +npy_longdouble npy_spacingl(npy_longdouble x); + +/* + * Non standard functions + */ +NPY_INPLACE double npy_deg2rad(double x); +NPY_INPLACE double npy_rad2deg(double x); +NPY_INPLACE double npy_logaddexp(double x, double y); +NPY_INPLACE double npy_logaddexp2(double x, double y); +NPY_INPLACE double npy_divmod(double x, double y, double *modulus); +NPY_INPLACE double npy_heaviside(double x, double h0); + +NPY_INPLACE float npy_deg2radf(float x); +NPY_INPLACE float npy_rad2degf(float x); +NPY_INPLACE float npy_logaddexpf(float x, float y); +NPY_INPLACE float npy_logaddexp2f(float x, float y); +NPY_INPLACE float npy_divmodf(float x, float y, float *modulus); +NPY_INPLACE float npy_heavisidef(float x, float h0); + +NPY_INPLACE npy_longdouble npy_deg2radl(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_rad2degl(npy_longdouble x); +NPY_INPLACE npy_longdouble npy_logaddexpl(npy_longdouble x, npy_longdouble y); +NPY_INPLACE npy_longdouble npy_logaddexp2l(npy_longdouble x, npy_longdouble y); +NPY_INPLACE npy_longdouble npy_divmodl(npy_longdouble x, npy_longdouble y, + npy_longdouble *modulus); +NPY_INPLACE npy_longdouble npy_heavisidel(npy_longdouble x, npy_longdouble h0); + +#define npy_degrees npy_rad2deg +#define npy_degreesf npy_rad2degf +#define npy_degreesl npy_rad2degl + +#define npy_radians npy_deg2rad +#define npy_radiansf npy_deg2radf +#define npy_radiansl npy_deg2radl + +/* + * Complex declarations + */ + +static inline double npy_creal(const npy_cdouble z) +{ +#if defined(__cplusplus) + return z._Val[0]; +#else + return creal(z); +#endif +} + +static inline void npy_csetreal(npy_cdouble *z, const double r) +{ + ((double *) z)[0] = r; +} + +static inline double npy_cimag(const npy_cdouble z) +{ +#if defined(__cplusplus) + return z._Val[1]; +#else + return cimag(z); +#endif +} + +static inline void npy_csetimag(npy_cdouble *z, const double i) +{ + ((double *) z)[1] = i; +} + +static inline float npy_crealf(const npy_cfloat z) +{ +#if defined(__cplusplus) + return z._Val[0]; +#else + return crealf(z); +#endif +} + +static inline void npy_csetrealf(npy_cfloat *z, const float r) +{ + ((float *) z)[0] = r; +} + +static inline float npy_cimagf(const npy_cfloat z) +{ +#if defined(__cplusplus) + return z._Val[1]; +#else + return cimagf(z); +#endif +} + +static inline void npy_csetimagf(npy_cfloat *z, const float i) +{ + ((float *) z)[1] = i; +} + +static inline npy_longdouble npy_creall(const npy_clongdouble z) +{ +#if defined(__cplusplus) + return (npy_longdouble)z._Val[0]; +#else + return creall(z); +#endif +} + +static inline void npy_csetreall(npy_clongdouble *z, const longdouble_t r) +{ + ((longdouble_t *) z)[0] = r; +} + +static inline npy_longdouble npy_cimagl(const npy_clongdouble z) +{ +#if defined(__cplusplus) + return (npy_longdouble)z._Val[1]; +#else + return cimagl(z); +#endif +} + +static inline void npy_csetimagl(npy_clongdouble *z, const longdouble_t i) +{ + ((longdouble_t *) z)[1] = i; +} + +#define NPY_CSETREAL(z, r) npy_csetreal(z, r) +#define NPY_CSETIMAG(z, i) npy_csetimag(z, i) +#define NPY_CSETREALF(z, r) npy_csetrealf(z, r) +#define NPY_CSETIMAGF(z, i) npy_csetimagf(z, i) +#define NPY_CSETREALL(z, r) npy_csetreall(z, r) +#define NPY_CSETIMAGL(z, i) npy_csetimagl(z, i) + +static inline npy_cdouble npy_cpack(double x, double y) +{ + npy_cdouble z; + npy_csetreal(&z, x); + npy_csetimag(&z, y); + return z; +} + +static inline npy_cfloat npy_cpackf(float x, float y) +{ + npy_cfloat z; + npy_csetrealf(&z, x); + npy_csetimagf(&z, y); + return z; +} + +static inline npy_clongdouble npy_cpackl(npy_longdouble x, npy_longdouble y) +{ + npy_clongdouble z; + npy_csetreall(&z, x); + npy_csetimagl(&z, y); + return z; +} + +/* + * Double precision complex functions + */ +double npy_cabs(npy_cdouble z); +double npy_carg(npy_cdouble z); + +npy_cdouble npy_cexp(npy_cdouble z); +npy_cdouble npy_clog(npy_cdouble z); +npy_cdouble npy_cpow(npy_cdouble x, npy_cdouble y); + +npy_cdouble npy_csqrt(npy_cdouble z); + +npy_cdouble npy_ccos(npy_cdouble z); +npy_cdouble npy_csin(npy_cdouble z); +npy_cdouble npy_ctan(npy_cdouble z); + +npy_cdouble npy_ccosh(npy_cdouble z); +npy_cdouble npy_csinh(npy_cdouble z); +npy_cdouble npy_ctanh(npy_cdouble z); + +npy_cdouble npy_cacos(npy_cdouble z); +npy_cdouble npy_casin(npy_cdouble z); +npy_cdouble npy_catan(npy_cdouble z); + +npy_cdouble npy_cacosh(npy_cdouble z); +npy_cdouble npy_casinh(npy_cdouble z); +npy_cdouble npy_catanh(npy_cdouble z); + +/* + * Single precision complex functions + */ +float npy_cabsf(npy_cfloat z); +float npy_cargf(npy_cfloat z); + +npy_cfloat npy_cexpf(npy_cfloat z); +npy_cfloat npy_clogf(npy_cfloat z); +npy_cfloat npy_cpowf(npy_cfloat x, npy_cfloat y); + +npy_cfloat npy_csqrtf(npy_cfloat z); + +npy_cfloat npy_ccosf(npy_cfloat z); +npy_cfloat npy_csinf(npy_cfloat z); +npy_cfloat npy_ctanf(npy_cfloat z); + +npy_cfloat npy_ccoshf(npy_cfloat z); +npy_cfloat npy_csinhf(npy_cfloat z); +npy_cfloat npy_ctanhf(npy_cfloat z); + +npy_cfloat npy_cacosf(npy_cfloat z); +npy_cfloat npy_casinf(npy_cfloat z); +npy_cfloat npy_catanf(npy_cfloat z); + +npy_cfloat npy_cacoshf(npy_cfloat z); +npy_cfloat npy_casinhf(npy_cfloat z); +npy_cfloat npy_catanhf(npy_cfloat z); + + +/* + * Extended precision complex functions + */ +npy_longdouble npy_cabsl(npy_clongdouble z); +npy_longdouble npy_cargl(npy_clongdouble z); + +npy_clongdouble npy_cexpl(npy_clongdouble z); +npy_clongdouble npy_clogl(npy_clongdouble z); +npy_clongdouble npy_cpowl(npy_clongdouble x, npy_clongdouble y); + +npy_clongdouble npy_csqrtl(npy_clongdouble z); + +npy_clongdouble npy_ccosl(npy_clongdouble z); +npy_clongdouble npy_csinl(npy_clongdouble z); +npy_clongdouble npy_ctanl(npy_clongdouble z); + +npy_clongdouble npy_ccoshl(npy_clongdouble z); +npy_clongdouble npy_csinhl(npy_clongdouble z); +npy_clongdouble npy_ctanhl(npy_clongdouble z); + +npy_clongdouble npy_cacosl(npy_clongdouble z); +npy_clongdouble npy_casinl(npy_clongdouble z); +npy_clongdouble npy_catanl(npy_clongdouble z); + +npy_clongdouble npy_cacoshl(npy_clongdouble z); +npy_clongdouble npy_casinhl(npy_clongdouble z); +npy_clongdouble npy_catanhl(npy_clongdouble z); + + +/* + * Functions that set the floating point error + * status word. + */ + +/* + * platform-dependent code translates floating point + * status to an integer sum of these values + */ +#define NPY_FPE_DIVIDEBYZERO 1 +#define NPY_FPE_OVERFLOW 2 +#define NPY_FPE_UNDERFLOW 4 +#define NPY_FPE_INVALID 8 + +int npy_clear_floatstatus_barrier(char*); +int npy_get_floatstatus_barrier(char*); +/* + * use caution with these - clang and gcc8.1 are known to reorder calls + * to this form of the function which can defeat the check. The _barrier + * form of the call is preferable, where the argument is + * (char*)&local_variable + */ +int npy_clear_floatstatus(void); +int npy_get_floatstatus(void); + +void npy_set_floatstatus_divbyzero(void); +void npy_set_floatstatus_overflow(void); +void npy_set_floatstatus_underflow(void); +void npy_set_floatstatus_invalid(void); + +#ifdef __cplusplus +} +#endif + +#if NPY_INLINE_MATH +#include "npy_math_internal.h" +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_MATH_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_no_deprecated_api.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_no_deprecated_api.h new file mode 100644 index 0000000000000000000000000000000000000000..39658c0bd2d61aacd25f75439e81ea16c3e33db8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_no_deprecated_api.h @@ -0,0 +1,20 @@ +/* + * This include file is provided for inclusion in Cython *.pyd files where + * one would like to define the NPY_NO_DEPRECATED_API macro. It can be + * included by + * + * cdef extern from "npy_no_deprecated_api.h": pass + * + */ +#ifndef NPY_NO_DEPRECATED_API + +/* put this check here since there may be multiple includes in C extensions. */ +#if defined(NUMPY_CORE_INCLUDE_NUMPY_NDARRAYTYPES_H_) || \ + defined(NUMPY_CORE_INCLUDE_NUMPY_NPY_DEPRECATED_API_H) || \ + defined(NUMPY_CORE_INCLUDE_NUMPY_OLD_DEFINES_H_) +#error "npy_no_deprecated_api.h" must be first among numpy includes. +#else +#define NPY_NO_DEPRECATED_API NPY_API_VERSION +#endif + +#endif /* NPY_NO_DEPRECATED_API */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_os.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_os.h new file mode 100644 index 0000000000000000000000000000000000000000..0ce5d78b42c0e53c660654e297446d7811901aa2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/npy_os.h @@ -0,0 +1,42 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_OS_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_OS_H_ + +#if defined(linux) || defined(__linux) || defined(__linux__) + #define NPY_OS_LINUX +#elif defined(__FreeBSD__) || defined(__NetBSD__) || \ + defined(__OpenBSD__) || defined(__DragonFly__) + #define NPY_OS_BSD + #ifdef __FreeBSD__ + #define NPY_OS_FREEBSD + #elif defined(__NetBSD__) + #define NPY_OS_NETBSD + #elif defined(__OpenBSD__) + #define NPY_OS_OPENBSD + #elif defined(__DragonFly__) + #define NPY_OS_DRAGONFLY + #endif +#elif defined(sun) || defined(__sun) + #define NPY_OS_SOLARIS +#elif defined(__CYGWIN__) + #define NPY_OS_CYGWIN +/* We are on Windows.*/ +#elif defined(_WIN32) + /* We are using MinGW (64-bit or 32-bit)*/ + #if defined(__MINGW32__) || defined(__MINGW64__) + #define NPY_OS_MINGW + /* Otherwise, if _WIN64 is defined, we are targeting 64-bit Windows*/ + #elif defined(_WIN64) + #define NPY_OS_WIN64 + /* Otherwise assume we are targeting 32-bit Windows*/ + #else + #define NPY_OS_WIN32 + #endif +#elif defined(__APPLE__) + #define NPY_OS_DARWIN +#elif defined(__HAIKU__) + #define NPY_OS_HAIKU +#else + #define NPY_OS_UNKNOWN +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_OS_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/numpyconfig.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/numpyconfig.h new file mode 100644 index 0000000000000000000000000000000000000000..46ecade41ada08fad4c1ae389cc4e9b6e902de24 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/numpyconfig.h @@ -0,0 +1,178 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_NUMPYCONFIG_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_NPY_NUMPYCONFIG_H_ + +#include "_numpyconfig.h" + +/* + * On Mac OS X, because there is only one configuration stage for all the archs + * in universal builds, any macro which depends on the arch needs to be + * hardcoded. + * + * Note that distutils/pip will attempt a universal2 build when Python itself + * is built as universal2, hence this hardcoding is needed even if we do not + * support universal2 wheels anymore (see gh-22796). + * This code block can be removed after we have dropped the setup.py based + * build completely. + */ +#ifdef __APPLE__ + #undef NPY_SIZEOF_LONG + + #ifdef __LP64__ + #define NPY_SIZEOF_LONG 8 + #else + #define NPY_SIZEOF_LONG 4 + #endif + + #undef NPY_SIZEOF_LONGDOUBLE + #undef NPY_SIZEOF_COMPLEX_LONGDOUBLE + #ifdef HAVE_LDOUBLE_IEEE_DOUBLE_LE + #undef HAVE_LDOUBLE_IEEE_DOUBLE_LE + #endif + #ifdef HAVE_LDOUBLE_INTEL_EXTENDED_16_BYTES_LE + #undef HAVE_LDOUBLE_INTEL_EXTENDED_16_BYTES_LE + #endif + + #if defined(__arm64__) + #define NPY_SIZEOF_LONGDOUBLE 8 + #define NPY_SIZEOF_COMPLEX_LONGDOUBLE 16 + #define HAVE_LDOUBLE_IEEE_DOUBLE_LE 1 + #elif defined(__x86_64) + #define NPY_SIZEOF_LONGDOUBLE 16 + #define NPY_SIZEOF_COMPLEX_LONGDOUBLE 32 + #define HAVE_LDOUBLE_INTEL_EXTENDED_16_BYTES_LE 1 + #elif defined (__i386) + #define NPY_SIZEOF_LONGDOUBLE 12 + #define NPY_SIZEOF_COMPLEX_LONGDOUBLE 24 + #elif defined(__ppc__) || defined (__ppc64__) + #define NPY_SIZEOF_LONGDOUBLE 16 + #define NPY_SIZEOF_COMPLEX_LONGDOUBLE 32 + #else + #error "unknown architecture" + #endif +#endif + + +/** + * To help with both NPY_TARGET_VERSION and the NPY_NO_DEPRECATED_API macro, + * we include API version numbers for specific versions of NumPy. + * To exclude all API that was deprecated as of 1.7, add the following before + * #including any NumPy headers: + * #define NPY_NO_DEPRECATED_API NPY_1_7_API_VERSION + * The same is true for NPY_TARGET_VERSION, although NumPy will default to + * a backwards compatible build anyway. + */ +#define NPY_1_7_API_VERSION 0x00000007 +#define NPY_1_8_API_VERSION 0x00000008 +#define NPY_1_9_API_VERSION 0x00000009 +#define NPY_1_10_API_VERSION 0x0000000a +#define NPY_1_11_API_VERSION 0x0000000a +#define NPY_1_12_API_VERSION 0x0000000a +#define NPY_1_13_API_VERSION 0x0000000b +#define NPY_1_14_API_VERSION 0x0000000c +#define NPY_1_15_API_VERSION 0x0000000c +#define NPY_1_16_API_VERSION 0x0000000d +#define NPY_1_17_API_VERSION 0x0000000d +#define NPY_1_18_API_VERSION 0x0000000d +#define NPY_1_19_API_VERSION 0x0000000d +#define NPY_1_20_API_VERSION 0x0000000e +#define NPY_1_21_API_VERSION 0x0000000e +#define NPY_1_22_API_VERSION 0x0000000f +#define NPY_1_23_API_VERSION 0x00000010 +#define NPY_1_24_API_VERSION 0x00000010 +#define NPY_1_25_API_VERSION 0x00000011 +#define NPY_2_0_API_VERSION 0x00000012 +#define NPY_2_1_API_VERSION 0x00000013 + + +/* + * Binary compatibility version number. This number is increased + * whenever the C-API is changed such that binary compatibility is + * broken, i.e. whenever a recompile of extension modules is needed. + */ +#define NPY_VERSION NPY_ABI_VERSION + +/* + * Minor API version we are compiling to be compatible with. The version + * Number is always increased when the API changes via: `NPY_API_VERSION` + * (and should maybe just track the NumPy version). + * + * If we have an internal build, we always target the current version of + * course. + * + * For downstream users, we default to an older version to provide them with + * maximum compatibility by default. Downstream can choose to extend that + * default, or narrow it down if they wish to use newer API. If you adjust + * this, consider the Python version support (example for 1.25.x): + * + * NumPy 1.25.x supports Python: 3.9 3.10 3.11 (3.12) + * NumPy 1.19.x supports Python: 3.6 3.7 3.8 3.9 + * NumPy 1.17.x supports Python: 3.5 3.6 3.7 3.8 + * NumPy 1.15.x supports Python: ... 3.6 3.7 + * + * Users of the stable ABI may wish to target the last Python that is not + * end of life. This would be 3.8 at NumPy 1.25 release time. + * 1.17 as default was the choice of oldest-support-numpy at the time and + * has in practice no limit (compared to 1.19). Even earlier becomes legacy. + */ +#if defined(NPY_INTERNAL_BUILD) && NPY_INTERNAL_BUILD + /* NumPy internal build, always use current version. */ + #define NPY_FEATURE_VERSION NPY_API_VERSION +#elif defined(NPY_TARGET_VERSION) && NPY_TARGET_VERSION + /* user provided a target version, use it */ + #define NPY_FEATURE_VERSION NPY_TARGET_VERSION +#else + /* Use the default (increase when dropping Python 3.10 support) */ + #define NPY_FEATURE_VERSION NPY_1_21_API_VERSION +#endif + +/* Sanity check the (requested) feature version */ +#if NPY_FEATURE_VERSION > NPY_API_VERSION + #error "NPY_TARGET_VERSION higher than NumPy headers!" +#elif NPY_FEATURE_VERSION < NPY_1_15_API_VERSION + /* No support for irrelevant old targets, no need for error, but warn. */ + #ifndef _MSC_VER + #warning "Requested NumPy target lower than supported NumPy 1.15." + #else + #define _WARN___STR2__(x) #x + #define _WARN___STR1__(x) _WARN___STR2__(x) + #define _WARN___LOC__ __FILE__ "(" _WARN___STR1__(__LINE__) ") : Warning Msg: " + #pragma message(_WARN___LOC__"Requested NumPy target lower than supported NumPy 1.15.") + #endif +#endif + +/* + * We define a human readable translation to the Python version of NumPy + * for error messages (and also to allow grepping the binaries for conda). + */ +#if NPY_FEATURE_VERSION == NPY_1_7_API_VERSION + #define NPY_FEATURE_VERSION_STRING "1.7" +#elif NPY_FEATURE_VERSION == NPY_1_8_API_VERSION + #define NPY_FEATURE_VERSION_STRING "1.8" +#elif NPY_FEATURE_VERSION == NPY_1_9_API_VERSION + #define NPY_FEATURE_VERSION_STRING "1.9" +#elif NPY_FEATURE_VERSION == NPY_1_10_API_VERSION /* also 1.11, 1.12 */ + #define NPY_FEATURE_VERSION_STRING "1.10" +#elif NPY_FEATURE_VERSION == NPY_1_13_API_VERSION + #define NPY_FEATURE_VERSION_STRING "1.13" +#elif NPY_FEATURE_VERSION == NPY_1_14_API_VERSION /* also 1.15 */ + #define NPY_FEATURE_VERSION_STRING "1.14" +#elif NPY_FEATURE_VERSION == NPY_1_16_API_VERSION /* also 1.17, 1.18, 1.19 */ + #define NPY_FEATURE_VERSION_STRING "1.16" +#elif NPY_FEATURE_VERSION == NPY_1_20_API_VERSION /* also 1.21 */ + #define NPY_FEATURE_VERSION_STRING "1.20" +#elif NPY_FEATURE_VERSION == NPY_1_22_API_VERSION + #define NPY_FEATURE_VERSION_STRING "1.22" +#elif NPY_FEATURE_VERSION == NPY_1_23_API_VERSION /* also 1.24 */ + #define NPY_FEATURE_VERSION_STRING "1.23" +#elif NPY_FEATURE_VERSION == NPY_1_25_API_VERSION + #define NPY_FEATURE_VERSION_STRING "1.25" +#elif NPY_FEATURE_VERSION == NPY_2_0_API_VERSION + #define NPY_FEATURE_VERSION_STRING "2.0" +#elif NPY_FEATURE_VERSION == NPY_2_1_API_VERSION + #define NPY_FEATURE_VERSION_STRING "2.1" +#else + #error "Missing version string define for new NumPy version." +#endif + + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_NPY_NUMPYCONFIG_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/LICENSE.txt b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/LICENSE.txt new file mode 100644 index 0000000000000000000000000000000000000000..d72a7c388d406191f2b3113efa5f89916a39d9b2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/LICENSE.txt @@ -0,0 +1,21 @@ + zlib License + ------------ + + Copyright (C) 2010 - 2019 ridiculous_fish, + Copyright (C) 2016 - 2019 Kim Walisch, + + This software is provided 'as-is', without any express or implied + warranty. In no event will the authors be held liable for any damages + arising from the use of this software. + + Permission is granted to anyone to use this software for any purpose, + including commercial applications, and to alter it and redistribute it + freely, subject to the following restrictions: + + 1. The origin of this software must not be misrepresented; you must not + claim that you wrote the original software. If you use this software + in a product, an acknowledgment in the product documentation would be + appreciated but is not required. + 2. Altered source versions must be plainly marked as such, and must not be + misrepresented as being the original software. + 3. This notice may not be removed or altered from any source distribution. diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/bitgen.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/bitgen.h new file mode 100644 index 0000000000000000000000000000000000000000..162dd5c5753079eb1d76efa7fc8a3847c2ad6602 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/bitgen.h @@ -0,0 +1,20 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_RANDOM_BITGEN_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_RANDOM_BITGEN_H_ + +#pragma once +#include +#include +#include + +/* Must match the declaration in numpy/random/.pxd */ + +typedef struct bitgen { + void *state; + uint64_t (*next_uint64)(void *st); + uint32_t (*next_uint32)(void *st); + double (*next_double)(void *st); + uint64_t (*next_raw)(void *st); +} bitgen_t; + + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_RANDOM_BITGEN_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/distributions.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/distributions.h new file mode 100644 index 0000000000000000000000000000000000000000..e7fa4bd00d43430eb1da23bd577688d8733bb6e8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/distributions.h @@ -0,0 +1,209 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_RANDOM_DISTRIBUTIONS_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_RANDOM_DISTRIBUTIONS_H_ + +#ifdef __cplusplus +extern "C" { +#endif + +#include +#include "numpy/npy_common.h" +#include +#include +#include + +#include "numpy/npy_math.h" +#include "numpy/random/bitgen.h" + +/* + * RAND_INT_TYPE is used to share integer generators with RandomState which + * used long in place of int64_t. If changing a distribution that uses + * RAND_INT_TYPE, then the original unmodified copy must be retained for + * use in RandomState by copying to the legacy distributions source file. + */ +#ifdef NP_RANDOM_LEGACY +#define RAND_INT_TYPE long +#define RAND_INT_MAX LONG_MAX +#else +#define RAND_INT_TYPE int64_t +#define RAND_INT_MAX INT64_MAX +#endif + +#ifdef _MSC_VER +#define DECLDIR __declspec(dllexport) +#else +#define DECLDIR extern +#endif + +#ifndef MIN +#define MIN(x, y) (((x) < (y)) ? x : y) +#define MAX(x, y) (((x) > (y)) ? x : y) +#endif + +#ifndef M_PI +#define M_PI 3.14159265358979323846264338328 +#endif + +typedef struct s_binomial_t { + int has_binomial; /* !=0: following parameters initialized for binomial */ + double psave; + RAND_INT_TYPE nsave; + double r; + double q; + double fm; + RAND_INT_TYPE m; + double p1; + double xm; + double xl; + double xr; + double c; + double laml; + double lamr; + double p2; + double p3; + double p4; +} binomial_t; + +DECLDIR float random_standard_uniform_f(bitgen_t *bitgen_state); +DECLDIR double random_standard_uniform(bitgen_t *bitgen_state); +DECLDIR void random_standard_uniform_fill(bitgen_t *, npy_intp, double *); +DECLDIR void random_standard_uniform_fill_f(bitgen_t *, npy_intp, float *); + +DECLDIR int64_t random_positive_int64(bitgen_t *bitgen_state); +DECLDIR int32_t random_positive_int32(bitgen_t *bitgen_state); +DECLDIR int64_t random_positive_int(bitgen_t *bitgen_state); +DECLDIR uint64_t random_uint(bitgen_t *bitgen_state); + +DECLDIR double random_standard_exponential(bitgen_t *bitgen_state); +DECLDIR float random_standard_exponential_f(bitgen_t *bitgen_state); +DECLDIR void random_standard_exponential_fill(bitgen_t *, npy_intp, double *); +DECLDIR void random_standard_exponential_fill_f(bitgen_t *, npy_intp, float *); +DECLDIR void random_standard_exponential_inv_fill(bitgen_t *, npy_intp, double *); +DECLDIR void random_standard_exponential_inv_fill_f(bitgen_t *, npy_intp, float *); + +DECLDIR double random_standard_normal(bitgen_t *bitgen_state); +DECLDIR float random_standard_normal_f(bitgen_t *bitgen_state); +DECLDIR void random_standard_normal_fill(bitgen_t *, npy_intp, double *); +DECLDIR void random_standard_normal_fill_f(bitgen_t *, npy_intp, float *); +DECLDIR double random_standard_gamma(bitgen_t *bitgen_state, double shape); +DECLDIR float random_standard_gamma_f(bitgen_t *bitgen_state, float shape); + +DECLDIR double random_normal(bitgen_t *bitgen_state, double loc, double scale); + +DECLDIR double random_gamma(bitgen_t *bitgen_state, double shape, double scale); +DECLDIR float random_gamma_f(bitgen_t *bitgen_state, float shape, float scale); + +DECLDIR double random_exponential(bitgen_t *bitgen_state, double scale); +DECLDIR double random_uniform(bitgen_t *bitgen_state, double lower, double range); +DECLDIR double random_beta(bitgen_t *bitgen_state, double a, double b); +DECLDIR double random_chisquare(bitgen_t *bitgen_state, double df); +DECLDIR double random_f(bitgen_t *bitgen_state, double dfnum, double dfden); +DECLDIR double random_standard_cauchy(bitgen_t *bitgen_state); +DECLDIR double random_pareto(bitgen_t *bitgen_state, double a); +DECLDIR double random_weibull(bitgen_t *bitgen_state, double a); +DECLDIR double random_power(bitgen_t *bitgen_state, double a); +DECLDIR double random_laplace(bitgen_t *bitgen_state, double loc, double scale); +DECLDIR double random_gumbel(bitgen_t *bitgen_state, double loc, double scale); +DECLDIR double random_logistic(bitgen_t *bitgen_state, double loc, double scale); +DECLDIR double random_lognormal(bitgen_t *bitgen_state, double mean, double sigma); +DECLDIR double random_rayleigh(bitgen_t *bitgen_state, double mode); +DECLDIR double random_standard_t(bitgen_t *bitgen_state, double df); +DECLDIR double random_noncentral_chisquare(bitgen_t *bitgen_state, double df, + double nonc); +DECLDIR double random_noncentral_f(bitgen_t *bitgen_state, double dfnum, + double dfden, double nonc); +DECLDIR double random_wald(bitgen_t *bitgen_state, double mean, double scale); +DECLDIR double random_vonmises(bitgen_t *bitgen_state, double mu, double kappa); +DECLDIR double random_triangular(bitgen_t *bitgen_state, double left, double mode, + double right); + +DECLDIR RAND_INT_TYPE random_poisson(bitgen_t *bitgen_state, double lam); +DECLDIR RAND_INT_TYPE random_negative_binomial(bitgen_t *bitgen_state, double n, + double p); + +DECLDIR int64_t random_binomial(bitgen_t *bitgen_state, double p, + int64_t n, binomial_t *binomial); + +DECLDIR int64_t random_logseries(bitgen_t *bitgen_state, double p); +DECLDIR int64_t random_geometric(bitgen_t *bitgen_state, double p); +DECLDIR RAND_INT_TYPE random_geometric_search(bitgen_t *bitgen_state, double p); +DECLDIR RAND_INT_TYPE random_zipf(bitgen_t *bitgen_state, double a); +DECLDIR int64_t random_hypergeometric(bitgen_t *bitgen_state, + int64_t good, int64_t bad, int64_t sample); +DECLDIR uint64_t random_interval(bitgen_t *bitgen_state, uint64_t max); + +/* Generate random uint64 numbers in closed interval [off, off + rng]. */ +DECLDIR uint64_t random_bounded_uint64(bitgen_t *bitgen_state, uint64_t off, + uint64_t rng, uint64_t mask, + bool use_masked); + +/* Generate random uint32 numbers in closed interval [off, off + rng]. */ +DECLDIR uint32_t random_buffered_bounded_uint32(bitgen_t *bitgen_state, + uint32_t off, uint32_t rng, + uint32_t mask, bool use_masked, + int *bcnt, uint32_t *buf); +DECLDIR uint16_t random_buffered_bounded_uint16(bitgen_t *bitgen_state, + uint16_t off, uint16_t rng, + uint16_t mask, bool use_masked, + int *bcnt, uint32_t *buf); +DECLDIR uint8_t random_buffered_bounded_uint8(bitgen_t *bitgen_state, uint8_t off, + uint8_t rng, uint8_t mask, + bool use_masked, int *bcnt, + uint32_t *buf); +DECLDIR npy_bool random_buffered_bounded_bool(bitgen_t *bitgen_state, npy_bool off, + npy_bool rng, npy_bool mask, + bool use_masked, int *bcnt, + uint32_t *buf); + +DECLDIR void random_bounded_uint64_fill(bitgen_t *bitgen_state, uint64_t off, + uint64_t rng, npy_intp cnt, + bool use_masked, uint64_t *out); +DECLDIR void random_bounded_uint32_fill(bitgen_t *bitgen_state, uint32_t off, + uint32_t rng, npy_intp cnt, + bool use_masked, uint32_t *out); +DECLDIR void random_bounded_uint16_fill(bitgen_t *bitgen_state, uint16_t off, + uint16_t rng, npy_intp cnt, + bool use_masked, uint16_t *out); +DECLDIR void random_bounded_uint8_fill(bitgen_t *bitgen_state, uint8_t off, + uint8_t rng, npy_intp cnt, + bool use_masked, uint8_t *out); +DECLDIR void random_bounded_bool_fill(bitgen_t *bitgen_state, npy_bool off, + npy_bool rng, npy_intp cnt, + bool use_masked, npy_bool *out); + +DECLDIR void random_multinomial(bitgen_t *bitgen_state, RAND_INT_TYPE n, RAND_INT_TYPE *mnix, + double *pix, npy_intp d, binomial_t *binomial); + +/* multivariate hypergeometric, "count" method */ +DECLDIR int random_multivariate_hypergeometric_count(bitgen_t *bitgen_state, + int64_t total, + size_t num_colors, int64_t *colors, + int64_t nsample, + size_t num_variates, int64_t *variates); + +/* multivariate hypergeometric, "marginals" method */ +DECLDIR void random_multivariate_hypergeometric_marginals(bitgen_t *bitgen_state, + int64_t total, + size_t num_colors, int64_t *colors, + int64_t nsample, + size_t num_variates, int64_t *variates); + +/* Common to legacy-distributions.c and distributions.c but not exported */ + +RAND_INT_TYPE random_binomial_btpe(bitgen_t *bitgen_state, + RAND_INT_TYPE n, + double p, + binomial_t *binomial); +RAND_INT_TYPE random_binomial_inversion(bitgen_t *bitgen_state, + RAND_INT_TYPE n, + double p, + binomial_t *binomial); +double random_loggam(double x); +static inline double next_double(bitgen_t *bitgen_state) { + return bitgen_state->next_double(bitgen_state->state); +} + +#ifdef __cplusplus +} +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_RANDOM_DISTRIBUTIONS_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/libdivide.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/libdivide.h new file mode 100644 index 0000000000000000000000000000000000000000..f4eb8039b50c21c0977a38ee5f47c8f89307d482 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/random/libdivide.h @@ -0,0 +1,2079 @@ +// libdivide.h - Optimized integer division +// https://libdivide.com +// +// Copyright (C) 2010 - 2019 ridiculous_fish, +// Copyright (C) 2016 - 2019 Kim Walisch, +// +// libdivide is dual-licensed under the Boost or zlib licenses. +// You may use libdivide under the terms of either of these. +// See LICENSE.txt for more details. + +#ifndef NUMPY_CORE_INCLUDE_NUMPY_LIBDIVIDE_LIBDIVIDE_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_LIBDIVIDE_LIBDIVIDE_H_ + +#define LIBDIVIDE_VERSION "3.0" +#define LIBDIVIDE_VERSION_MAJOR 3 +#define LIBDIVIDE_VERSION_MINOR 0 + +#include + +#if defined(__cplusplus) + #include + #include + #include +#else + #include + #include +#endif + +#if defined(LIBDIVIDE_AVX512) + #include +#elif defined(LIBDIVIDE_AVX2) + #include +#elif defined(LIBDIVIDE_SSE2) + #include +#endif + +#if defined(_MSC_VER) + #include + // disable warning C4146: unary minus operator applied + // to unsigned type, result still unsigned + #pragma warning(disable: 4146) + #define LIBDIVIDE_VC +#endif + +#if !defined(__has_builtin) + #define __has_builtin(x) 0 +#endif + +#if defined(__SIZEOF_INT128__) + #define HAS_INT128_T + // clang-cl on Windows does not yet support 128-bit division + #if !(defined(__clang__) && defined(LIBDIVIDE_VC)) + #define HAS_INT128_DIV + #endif +#endif + +#if defined(__x86_64__) || defined(_M_X64) + #define LIBDIVIDE_X86_64 +#endif + +#if defined(__i386__) + #define LIBDIVIDE_i386 +#endif + +#if defined(__GNUC__) || defined(__clang__) + #define LIBDIVIDE_GCC_STYLE_ASM +#endif + +#if defined(__cplusplus) || defined(LIBDIVIDE_VC) + #define LIBDIVIDE_FUNCTION __FUNCTION__ +#else + #define LIBDIVIDE_FUNCTION __func__ +#endif + +#define LIBDIVIDE_ERROR(msg) \ + do { \ + fprintf(stderr, "libdivide.h:%d: %s(): Error: %s\n", \ + __LINE__, LIBDIVIDE_FUNCTION, msg); \ + abort(); \ + } while (0) + +#if defined(LIBDIVIDE_ASSERTIONS_ON) + #define LIBDIVIDE_ASSERT(x) \ + do { \ + if (!(x)) { \ + fprintf(stderr, "libdivide.h:%d: %s(): Assertion failed: %s\n", \ + __LINE__, LIBDIVIDE_FUNCTION, #x); \ + abort(); \ + } \ + } while (0) +#else + #define LIBDIVIDE_ASSERT(x) +#endif + +#ifdef __cplusplus +namespace libdivide { +#endif + +// pack divider structs to prevent compilers from padding. +// This reduces memory usage by up to 43% when using a large +// array of libdivide dividers and improves performance +// by up to 10% because of reduced memory bandwidth. +#pragma pack(push, 1) + +struct libdivide_u32_t { + uint32_t magic; + uint8_t more; +}; + +struct libdivide_s32_t { + int32_t magic; + uint8_t more; +}; + +struct libdivide_u64_t { + uint64_t magic; + uint8_t more; +}; + +struct libdivide_s64_t { + int64_t magic; + uint8_t more; +}; + +struct libdivide_u32_branchfree_t { + uint32_t magic; + uint8_t more; +}; + +struct libdivide_s32_branchfree_t { + int32_t magic; + uint8_t more; +}; + +struct libdivide_u64_branchfree_t { + uint64_t magic; + uint8_t more; +}; + +struct libdivide_s64_branchfree_t { + int64_t magic; + uint8_t more; +}; + +#pragma pack(pop) + +// Explanation of the "more" field: +// +// * Bits 0-5 is the shift value (for shift path or mult path). +// * Bit 6 is the add indicator for mult path. +// * Bit 7 is set if the divisor is negative. We use bit 7 as the negative +// divisor indicator so that we can efficiently use sign extension to +// create a bitmask with all bits set to 1 (if the divisor is negative) +// or 0 (if the divisor is positive). +// +// u32: [0-4] shift value +// [5] ignored +// [6] add indicator +// magic number of 0 indicates shift path +// +// s32: [0-4] shift value +// [5] ignored +// [6] add indicator +// [7] indicates negative divisor +// magic number of 0 indicates shift path +// +// u64: [0-5] shift value +// [6] add indicator +// magic number of 0 indicates shift path +// +// s64: [0-5] shift value +// [6] add indicator +// [7] indicates negative divisor +// magic number of 0 indicates shift path +// +// In s32 and s64 branchfree modes, the magic number is negated according to +// whether the divisor is negated. In branchfree strategy, it is not negated. + +enum { + LIBDIVIDE_32_SHIFT_MASK = 0x1F, + LIBDIVIDE_64_SHIFT_MASK = 0x3F, + LIBDIVIDE_ADD_MARKER = 0x40, + LIBDIVIDE_NEGATIVE_DIVISOR = 0x80 +}; + +static inline struct libdivide_s32_t libdivide_s32_gen(int32_t d); +static inline struct libdivide_u32_t libdivide_u32_gen(uint32_t d); +static inline struct libdivide_s64_t libdivide_s64_gen(int64_t d); +static inline struct libdivide_u64_t libdivide_u64_gen(uint64_t d); + +static inline struct libdivide_s32_branchfree_t libdivide_s32_branchfree_gen(int32_t d); +static inline struct libdivide_u32_branchfree_t libdivide_u32_branchfree_gen(uint32_t d); +static inline struct libdivide_s64_branchfree_t libdivide_s64_branchfree_gen(int64_t d); +static inline struct libdivide_u64_branchfree_t libdivide_u64_branchfree_gen(uint64_t d); + +static inline int32_t libdivide_s32_do(int32_t numer, const struct libdivide_s32_t *denom); +static inline uint32_t libdivide_u32_do(uint32_t numer, const struct libdivide_u32_t *denom); +static inline int64_t libdivide_s64_do(int64_t numer, const struct libdivide_s64_t *denom); +static inline uint64_t libdivide_u64_do(uint64_t numer, const struct libdivide_u64_t *denom); + +static inline int32_t libdivide_s32_branchfree_do(int32_t numer, const struct libdivide_s32_branchfree_t *denom); +static inline uint32_t libdivide_u32_branchfree_do(uint32_t numer, const struct libdivide_u32_branchfree_t *denom); +static inline int64_t libdivide_s64_branchfree_do(int64_t numer, const struct libdivide_s64_branchfree_t *denom); +static inline uint64_t libdivide_u64_branchfree_do(uint64_t numer, const struct libdivide_u64_branchfree_t *denom); + +static inline int32_t libdivide_s32_recover(const struct libdivide_s32_t *denom); +static inline uint32_t libdivide_u32_recover(const struct libdivide_u32_t *denom); +static inline int64_t libdivide_s64_recover(const struct libdivide_s64_t *denom); +static inline uint64_t libdivide_u64_recover(const struct libdivide_u64_t *denom); + +static inline int32_t libdivide_s32_branchfree_recover(const struct libdivide_s32_branchfree_t *denom); +static inline uint32_t libdivide_u32_branchfree_recover(const struct libdivide_u32_branchfree_t *denom); +static inline int64_t libdivide_s64_branchfree_recover(const struct libdivide_s64_branchfree_t *denom); +static inline uint64_t libdivide_u64_branchfree_recover(const struct libdivide_u64_branchfree_t *denom); + +//////// Internal Utility Functions + +static inline uint32_t libdivide_mullhi_u32(uint32_t x, uint32_t y) { + uint64_t xl = x, yl = y; + uint64_t rl = xl * yl; + return (uint32_t)(rl >> 32); +} + +static inline int32_t libdivide_mullhi_s32(int32_t x, int32_t y) { + int64_t xl = x, yl = y; + int64_t rl = xl * yl; + // needs to be arithmetic shift + return (int32_t)(rl >> 32); +} + +static inline uint64_t libdivide_mullhi_u64(uint64_t x, uint64_t y) { +#if defined(LIBDIVIDE_VC) && \ + defined(LIBDIVIDE_X86_64) + return __umulh(x, y); +#elif defined(HAS_INT128_T) + __uint128_t xl = x, yl = y; + __uint128_t rl = xl * yl; + return (uint64_t)(rl >> 64); +#else + // full 128 bits are x0 * y0 + (x0 * y1 << 32) + (x1 * y0 << 32) + (x1 * y1 << 64) + uint32_t mask = 0xFFFFFFFF; + uint32_t x0 = (uint32_t)(x & mask); + uint32_t x1 = (uint32_t)(x >> 32); + uint32_t y0 = (uint32_t)(y & mask); + uint32_t y1 = (uint32_t)(y >> 32); + uint32_t x0y0_hi = libdivide_mullhi_u32(x0, y0); + uint64_t x0y1 = x0 * (uint64_t)y1; + uint64_t x1y0 = x1 * (uint64_t)y0; + uint64_t x1y1 = x1 * (uint64_t)y1; + uint64_t temp = x1y0 + x0y0_hi; + uint64_t temp_lo = temp & mask; + uint64_t temp_hi = temp >> 32; + + return x1y1 + temp_hi + ((temp_lo + x0y1) >> 32); +#endif +} + +static inline int64_t libdivide_mullhi_s64(int64_t x, int64_t y) { +#if defined(LIBDIVIDE_VC) && \ + defined(LIBDIVIDE_X86_64) + return __mulh(x, y); +#elif defined(HAS_INT128_T) + __int128_t xl = x, yl = y; + __int128_t rl = xl * yl; + return (int64_t)(rl >> 64); +#else + // full 128 bits are x0 * y0 + (x0 * y1 << 32) + (x1 * y0 << 32) + (x1 * y1 << 64) + uint32_t mask = 0xFFFFFFFF; + uint32_t x0 = (uint32_t)(x & mask); + uint32_t y0 = (uint32_t)(y & mask); + int32_t x1 = (int32_t)(x >> 32); + int32_t y1 = (int32_t)(y >> 32); + uint32_t x0y0_hi = libdivide_mullhi_u32(x0, y0); + int64_t t = x1 * (int64_t)y0 + x0y0_hi; + int64_t w1 = x0 * (int64_t)y1 + (t & mask); + + return x1 * (int64_t)y1 + (t >> 32) + (w1 >> 32); +#endif +} + +static inline int32_t libdivide_count_leading_zeros32(uint32_t val) { +#if defined(__GNUC__) || \ + __has_builtin(__builtin_clz) + // Fast way to count leading zeros + return __builtin_clz(val); +#elif defined(LIBDIVIDE_VC) + unsigned long result; + if (_BitScanReverse(&result, val)) { + return 31 - result; + } + return 0; +#else + if (val == 0) + return 32; + int32_t result = 8; + uint32_t hi = 0xFFU << 24; + while ((val & hi) == 0) { + hi >>= 8; + result += 8; + } + while (val & hi) { + result -= 1; + hi <<= 1; + } + return result; +#endif +} + +static inline int32_t libdivide_count_leading_zeros64(uint64_t val) { +#if defined(__GNUC__) || \ + __has_builtin(__builtin_clzll) + // Fast way to count leading zeros + return __builtin_clzll(val); +#elif defined(LIBDIVIDE_VC) && defined(_WIN64) + unsigned long result; + if (_BitScanReverse64(&result, val)) { + return 63 - result; + } + return 0; +#else + uint32_t hi = val >> 32; + uint32_t lo = val & 0xFFFFFFFF; + if (hi != 0) return libdivide_count_leading_zeros32(hi); + return 32 + libdivide_count_leading_zeros32(lo); +#endif +} + +// libdivide_64_div_32_to_32: divides a 64-bit uint {u1, u0} by a 32-bit +// uint {v}. The result must fit in 32 bits. +// Returns the quotient directly and the remainder in *r +static inline uint32_t libdivide_64_div_32_to_32(uint32_t u1, uint32_t u0, uint32_t v, uint32_t *r) { +#if (defined(LIBDIVIDE_i386) || defined(LIBDIVIDE_X86_64)) && \ + defined(LIBDIVIDE_GCC_STYLE_ASM) + uint32_t result; + __asm__("divl %[v]" + : "=a"(result), "=d"(*r) + : [v] "r"(v), "a"(u0), "d"(u1) + ); + return result; +#else + uint64_t n = ((uint64_t)u1 << 32) | u0; + uint32_t result = (uint32_t)(n / v); + *r = (uint32_t)(n - result * (uint64_t)v); + return result; +#endif +} + +// libdivide_128_div_64_to_64: divides a 128-bit uint {u1, u0} by a 64-bit +// uint {v}. The result must fit in 64 bits. +// Returns the quotient directly and the remainder in *r +static uint64_t libdivide_128_div_64_to_64(uint64_t u1, uint64_t u0, uint64_t v, uint64_t *r) { +#if defined(LIBDIVIDE_X86_64) && \ + defined(LIBDIVIDE_GCC_STYLE_ASM) + uint64_t result; + __asm__("divq %[v]" + : "=a"(result), "=d"(*r) + : [v] "r"(v), "a"(u0), "d"(u1) + ); + return result; +#elif defined(HAS_INT128_T) && \ + defined(HAS_INT128_DIV) + __uint128_t n = ((__uint128_t)u1 << 64) | u0; + uint64_t result = (uint64_t)(n / v); + *r = (uint64_t)(n - result * (__uint128_t)v); + return result; +#else + // Code taken from Hacker's Delight: + // http://www.hackersdelight.org/HDcode/divlu.c. + // License permits inclusion here per: + // http://www.hackersdelight.org/permissions.htm + + const uint64_t b = (1ULL << 32); // Number base (32 bits) + uint64_t un1, un0; // Norm. dividend LSD's + uint64_t vn1, vn0; // Norm. divisor digits + uint64_t q1, q0; // Quotient digits + uint64_t un64, un21, un10; // Dividend digit pairs + uint64_t rhat; // A remainder + int32_t s; // Shift amount for norm + + // If overflow, set rem. to an impossible value, + // and return the largest possible quotient + if (u1 >= v) { + *r = (uint64_t) -1; + return (uint64_t) -1; + } + + // count leading zeros + s = libdivide_count_leading_zeros64(v); + if (s > 0) { + // Normalize divisor + v = v << s; + un64 = (u1 << s) | (u0 >> (64 - s)); + un10 = u0 << s; // Shift dividend left + } else { + // Avoid undefined behavior of (u0 >> 64). + // The behavior is undefined if the right operand is + // negative, or greater than or equal to the length + // in bits of the promoted left operand. + un64 = u1; + un10 = u0; + } + + // Break divisor up into two 32-bit digits + vn1 = v >> 32; + vn0 = v & 0xFFFFFFFF; + + // Break right half of dividend into two digits + un1 = un10 >> 32; + un0 = un10 & 0xFFFFFFFF; + + // Compute the first quotient digit, q1 + q1 = un64 / vn1; + rhat = un64 - q1 * vn1; + + while (q1 >= b || q1 * vn0 > b * rhat + un1) { + q1 = q1 - 1; + rhat = rhat + vn1; + if (rhat >= b) + break; + } + + // Multiply and subtract + un21 = un64 * b + un1 - q1 * v; + + // Compute the second quotient digit + q0 = un21 / vn1; + rhat = un21 - q0 * vn1; + + while (q0 >= b || q0 * vn0 > b * rhat + un0) { + q0 = q0 - 1; + rhat = rhat + vn1; + if (rhat >= b) + break; + } + + *r = (un21 * b + un0 - q0 * v) >> s; + return q1 * b + q0; +#endif +} + +// Bitshift a u128 in place, left (signed_shift > 0) or right (signed_shift < 0) +static inline void libdivide_u128_shift(uint64_t *u1, uint64_t *u0, int32_t signed_shift) { + if (signed_shift > 0) { + uint32_t shift = signed_shift; + *u1 <<= shift; + *u1 |= *u0 >> (64 - shift); + *u0 <<= shift; + } + else if (signed_shift < 0) { + uint32_t shift = -signed_shift; + *u0 >>= shift; + *u0 |= *u1 << (64 - shift); + *u1 >>= shift; + } +} + +// Computes a 128 / 128 -> 64 bit division, with a 128 bit remainder. +static uint64_t libdivide_128_div_128_to_64(uint64_t u_hi, uint64_t u_lo, uint64_t v_hi, uint64_t v_lo, uint64_t *r_hi, uint64_t *r_lo) { +#if defined(HAS_INT128_T) && \ + defined(HAS_INT128_DIV) + __uint128_t ufull = u_hi; + __uint128_t vfull = v_hi; + ufull = (ufull << 64) | u_lo; + vfull = (vfull << 64) | v_lo; + uint64_t res = (uint64_t)(ufull / vfull); + __uint128_t remainder = ufull - (vfull * res); + *r_lo = (uint64_t)remainder; + *r_hi = (uint64_t)(remainder >> 64); + return res; +#else + // Adapted from "Unsigned Doubleword Division" in Hacker's Delight + // We want to compute u / v + typedef struct { uint64_t hi; uint64_t lo; } u128_t; + u128_t u = {u_hi, u_lo}; + u128_t v = {v_hi, v_lo}; + + if (v.hi == 0) { + // divisor v is a 64 bit value, so we just need one 128/64 division + // Note that we are simpler than Hacker's Delight here, because we know + // the quotient fits in 64 bits whereas Hacker's Delight demands a full + // 128 bit quotient + *r_hi = 0; + return libdivide_128_div_64_to_64(u.hi, u.lo, v.lo, r_lo); + } + // Here v >= 2**64 + // We know that v.hi != 0, so count leading zeros is OK + // We have 0 <= n <= 63 + uint32_t n = libdivide_count_leading_zeros64(v.hi); + + // Normalize the divisor so its MSB is 1 + u128_t v1t = v; + libdivide_u128_shift(&v1t.hi, &v1t.lo, n); + uint64_t v1 = v1t.hi; // i.e. v1 = v1t >> 64 + + // To ensure no overflow + u128_t u1 = u; + libdivide_u128_shift(&u1.hi, &u1.lo, -1); + + // Get quotient from divide unsigned insn. + uint64_t rem_ignored; + uint64_t q1 = libdivide_128_div_64_to_64(u1.hi, u1.lo, v1, &rem_ignored); + + // Undo normalization and division of u by 2. + u128_t q0 = {0, q1}; + libdivide_u128_shift(&q0.hi, &q0.lo, n); + libdivide_u128_shift(&q0.hi, &q0.lo, -63); + + // Make q0 correct or too small by 1 + // Equivalent to `if (q0 != 0) q0 = q0 - 1;` + if (q0.hi != 0 || q0.lo != 0) { + q0.hi -= (q0.lo == 0); // borrow + q0.lo -= 1; + } + + // Now q0 is correct. + // Compute q0 * v as q0v + // = (q0.hi << 64 + q0.lo) * (v.hi << 64 + v.lo) + // = (q0.hi * v.hi << 128) + (q0.hi * v.lo << 64) + + // (q0.lo * v.hi << 64) + q0.lo * v.lo) + // Each term is 128 bit + // High half of full product (upper 128 bits!) are dropped + u128_t q0v = {0, 0}; + q0v.hi = q0.hi*v.lo + q0.lo*v.hi + libdivide_mullhi_u64(q0.lo, v.lo); + q0v.lo = q0.lo*v.lo; + + // Compute u - q0v as u_q0v + // This is the remainder + u128_t u_q0v = u; + u_q0v.hi -= q0v.hi + (u.lo < q0v.lo); // second term is borrow + u_q0v.lo -= q0v.lo; + + // Check if u_q0v >= v + // This checks if our remainder is larger than the divisor + if ((u_q0v.hi > v.hi) || + (u_q0v.hi == v.hi && u_q0v.lo >= v.lo)) { + // Increment q0 + q0.lo += 1; + q0.hi += (q0.lo == 0); // carry + + // Subtract v from remainder + u_q0v.hi -= v.hi + (u_q0v.lo < v.lo); + u_q0v.lo -= v.lo; + } + + *r_hi = u_q0v.hi; + *r_lo = u_q0v.lo; + + LIBDIVIDE_ASSERT(q0.hi == 0); + return q0.lo; +#endif +} + +////////// UINT32 + +static inline struct libdivide_u32_t libdivide_internal_u32_gen(uint32_t d, int branchfree) { + if (d == 0) { + LIBDIVIDE_ERROR("divider must be != 0"); + } + + struct libdivide_u32_t result; + uint32_t floor_log_2_d = 31 - libdivide_count_leading_zeros32(d); + + // Power of 2 + if ((d & (d - 1)) == 0) { + // We need to subtract 1 from the shift value in case of an unsigned + // branchfree divider because there is a hardcoded right shift by 1 + // in its division algorithm. Because of this we also need to add back + // 1 in its recovery algorithm. + result.magic = 0; + result.more = (uint8_t)(floor_log_2_d - (branchfree != 0)); + } else { + uint8_t more; + uint32_t rem, proposed_m; + proposed_m = libdivide_64_div_32_to_32(1U << floor_log_2_d, 0, d, &rem); + + LIBDIVIDE_ASSERT(rem > 0 && rem < d); + const uint32_t e = d - rem; + + // This power works if e < 2**floor_log_2_d. + if (!branchfree && (e < (1U << floor_log_2_d))) { + // This power works + more = floor_log_2_d; + } else { + // We have to use the general 33-bit algorithm. We need to compute + // (2**power) / d. However, we already have (2**(power-1))/d and + // its remainder. By doubling both, and then correcting the + // remainder, we can compute the larger division. + // don't care about overflow here - in fact, we expect it + proposed_m += proposed_m; + const uint32_t twice_rem = rem + rem; + if (twice_rem >= d || twice_rem < rem) proposed_m += 1; + more = floor_log_2_d | LIBDIVIDE_ADD_MARKER; + } + result.magic = 1 + proposed_m; + result.more = more; + // result.more's shift should in general be ceil_log_2_d. But if we + // used the smaller power, we subtract one from the shift because we're + // using the smaller power. If we're using the larger power, we + // subtract one from the shift because it's taken care of by the add + // indicator. So floor_log_2_d happens to be correct in both cases. + } + return result; +} + +struct libdivide_u32_t libdivide_u32_gen(uint32_t d) { + return libdivide_internal_u32_gen(d, 0); +} + +struct libdivide_u32_branchfree_t libdivide_u32_branchfree_gen(uint32_t d) { + if (d == 1) { + LIBDIVIDE_ERROR("branchfree divider must be != 1"); + } + struct libdivide_u32_t tmp = libdivide_internal_u32_gen(d, 1); + struct libdivide_u32_branchfree_t ret = {tmp.magic, (uint8_t)(tmp.more & LIBDIVIDE_32_SHIFT_MASK)}; + return ret; +} + +uint32_t libdivide_u32_do(uint32_t numer, const struct libdivide_u32_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return numer >> more; + } + else { + uint32_t q = libdivide_mullhi_u32(denom->magic, numer); + if (more & LIBDIVIDE_ADD_MARKER) { + uint32_t t = ((numer - q) >> 1) + q; + return t >> (more & LIBDIVIDE_32_SHIFT_MASK); + } + else { + // All upper bits are 0, + // don't need to mask them off. + return q >> more; + } + } +} + +uint32_t libdivide_u32_branchfree_do(uint32_t numer, const struct libdivide_u32_branchfree_t *denom) { + uint32_t q = libdivide_mullhi_u32(denom->magic, numer); + uint32_t t = ((numer - q) >> 1) + q; + return t >> denom->more; +} + +uint32_t libdivide_u32_recover(const struct libdivide_u32_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + + if (!denom->magic) { + return 1U << shift; + } else if (!(more & LIBDIVIDE_ADD_MARKER)) { + // We compute q = n/d = n*m / 2^(32 + shift) + // Therefore we have d = 2^(32 + shift) / m + // We need to ceil it. + // We know d is not a power of 2, so m is not a power of 2, + // so we can just add 1 to the floor + uint32_t hi_dividend = 1U << shift; + uint32_t rem_ignored; + return 1 + libdivide_64_div_32_to_32(hi_dividend, 0, denom->magic, &rem_ignored); + } else { + // Here we wish to compute d = 2^(32+shift+1)/(m+2^32). + // Notice (m + 2^32) is a 33 bit number. Use 64 bit division for now + // Also note that shift may be as high as 31, so shift + 1 will + // overflow. So we have to compute it as 2^(32+shift)/(m+2^32), and + // then double the quotient and remainder. + uint64_t half_n = 1ULL << (32 + shift); + uint64_t d = (1ULL << 32) | denom->magic; + // Note that the quotient is guaranteed <= 32 bits, but the remainder + // may need 33! + uint32_t half_q = (uint32_t)(half_n / d); + uint64_t rem = half_n % d; + // We computed 2^(32+shift)/(m+2^32) + // Need to double it, and then add 1 to the quotient if doubling th + // remainder would increase the quotient. + // Note that rem<<1 cannot overflow, since rem < d and d is 33 bits + uint32_t full_q = half_q + half_q + ((rem<<1) >= d); + + // We rounded down in gen (hence +1) + return full_q + 1; + } +} + +uint32_t libdivide_u32_branchfree_recover(const struct libdivide_u32_branchfree_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + + if (!denom->magic) { + return 1U << (shift + 1); + } else { + // Here we wish to compute d = 2^(32+shift+1)/(m+2^32). + // Notice (m + 2^32) is a 33 bit number. Use 64 bit division for now + // Also note that shift may be as high as 31, so shift + 1 will + // overflow. So we have to compute it as 2^(32+shift)/(m+2^32), and + // then double the quotient and remainder. + uint64_t half_n = 1ULL << (32 + shift); + uint64_t d = (1ULL << 32) | denom->magic; + // Note that the quotient is guaranteed <= 32 bits, but the remainder + // may need 33! + uint32_t half_q = (uint32_t)(half_n / d); + uint64_t rem = half_n % d; + // We computed 2^(32+shift)/(m+2^32) + // Need to double it, and then add 1 to the quotient if doubling th + // remainder would increase the quotient. + // Note that rem<<1 cannot overflow, since rem < d and d is 33 bits + uint32_t full_q = half_q + half_q + ((rem<<1) >= d); + + // We rounded down in gen (hence +1) + return full_q + 1; + } +} + +/////////// UINT64 + +static inline struct libdivide_u64_t libdivide_internal_u64_gen(uint64_t d, int branchfree) { + if (d == 0) { + LIBDIVIDE_ERROR("divider must be != 0"); + } + + struct libdivide_u64_t result; + uint32_t floor_log_2_d = 63 - libdivide_count_leading_zeros64(d); + + // Power of 2 + if ((d & (d - 1)) == 0) { + // We need to subtract 1 from the shift value in case of an unsigned + // branchfree divider because there is a hardcoded right shift by 1 + // in its division algorithm. Because of this we also need to add back + // 1 in its recovery algorithm. + result.magic = 0; + result.more = (uint8_t)(floor_log_2_d - (branchfree != 0)); + } else { + uint64_t proposed_m, rem; + uint8_t more; + // (1 << (64 + floor_log_2_d)) / d + proposed_m = libdivide_128_div_64_to_64(1ULL << floor_log_2_d, 0, d, &rem); + + LIBDIVIDE_ASSERT(rem > 0 && rem < d); + const uint64_t e = d - rem; + + // This power works if e < 2**floor_log_2_d. + if (!branchfree && e < (1ULL << floor_log_2_d)) { + // This power works + more = floor_log_2_d; + } else { + // We have to use the general 65-bit algorithm. We need to compute + // (2**power) / d. However, we already have (2**(power-1))/d and + // its remainder. By doubling both, and then correcting the + // remainder, we can compute the larger division. + // don't care about overflow here - in fact, we expect it + proposed_m += proposed_m; + const uint64_t twice_rem = rem + rem; + if (twice_rem >= d || twice_rem < rem) proposed_m += 1; + more = floor_log_2_d | LIBDIVIDE_ADD_MARKER; + } + result.magic = 1 + proposed_m; + result.more = more; + // result.more's shift should in general be ceil_log_2_d. But if we + // used the smaller power, we subtract one from the shift because we're + // using the smaller power. If we're using the larger power, we + // subtract one from the shift because it's taken care of by the add + // indicator. So floor_log_2_d happens to be correct in both cases, + // which is why we do it outside of the if statement. + } + return result; +} + +struct libdivide_u64_t libdivide_u64_gen(uint64_t d) { + return libdivide_internal_u64_gen(d, 0); +} + +struct libdivide_u64_branchfree_t libdivide_u64_branchfree_gen(uint64_t d) { + if (d == 1) { + LIBDIVIDE_ERROR("branchfree divider must be != 1"); + } + struct libdivide_u64_t tmp = libdivide_internal_u64_gen(d, 1); + struct libdivide_u64_branchfree_t ret = {tmp.magic, (uint8_t)(tmp.more & LIBDIVIDE_64_SHIFT_MASK)}; + return ret; +} + +uint64_t libdivide_u64_do(uint64_t numer, const struct libdivide_u64_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return numer >> more; + } + else { + uint64_t q = libdivide_mullhi_u64(denom->magic, numer); + if (more & LIBDIVIDE_ADD_MARKER) { + uint64_t t = ((numer - q) >> 1) + q; + return t >> (more & LIBDIVIDE_64_SHIFT_MASK); + } + else { + // All upper bits are 0, + // don't need to mask them off. + return q >> more; + } + } +} + +uint64_t libdivide_u64_branchfree_do(uint64_t numer, const struct libdivide_u64_branchfree_t *denom) { + uint64_t q = libdivide_mullhi_u64(denom->magic, numer); + uint64_t t = ((numer - q) >> 1) + q; + return t >> denom->more; +} + +uint64_t libdivide_u64_recover(const struct libdivide_u64_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + + if (!denom->magic) { + return 1ULL << shift; + } else if (!(more & LIBDIVIDE_ADD_MARKER)) { + // We compute q = n/d = n*m / 2^(64 + shift) + // Therefore we have d = 2^(64 + shift) / m + // We need to ceil it. + // We know d is not a power of 2, so m is not a power of 2, + // so we can just add 1 to the floor + uint64_t hi_dividend = 1ULL << shift; + uint64_t rem_ignored; + return 1 + libdivide_128_div_64_to_64(hi_dividend, 0, denom->magic, &rem_ignored); + } else { + // Here we wish to compute d = 2^(64+shift+1)/(m+2^64). + // Notice (m + 2^64) is a 65 bit number. This gets hairy. See + // libdivide_u32_recover for more on what we do here. + // TODO: do something better than 128 bit math + + // Full n is a (potentially) 129 bit value + // half_n is a 128 bit value + // Compute the hi half of half_n. Low half is 0. + uint64_t half_n_hi = 1ULL << shift, half_n_lo = 0; + // d is a 65 bit value. The high bit is always set to 1. + const uint64_t d_hi = 1, d_lo = denom->magic; + // Note that the quotient is guaranteed <= 64 bits, + // but the remainder may need 65! + uint64_t r_hi, r_lo; + uint64_t half_q = libdivide_128_div_128_to_64(half_n_hi, half_n_lo, d_hi, d_lo, &r_hi, &r_lo); + // We computed 2^(64+shift)/(m+2^64) + // Double the remainder ('dr') and check if that is larger than d + // Note that d is a 65 bit value, so r1 is small and so r1 + r1 + // cannot overflow + uint64_t dr_lo = r_lo + r_lo; + uint64_t dr_hi = r_hi + r_hi + (dr_lo < r_lo); // last term is carry + int dr_exceeds_d = (dr_hi > d_hi) || (dr_hi == d_hi && dr_lo >= d_lo); + uint64_t full_q = half_q + half_q + (dr_exceeds_d ? 1 : 0); + return full_q + 1; + } +} + +uint64_t libdivide_u64_branchfree_recover(const struct libdivide_u64_branchfree_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + + if (!denom->magic) { + return 1ULL << (shift + 1); + } else { + // Here we wish to compute d = 2^(64+shift+1)/(m+2^64). + // Notice (m + 2^64) is a 65 bit number. This gets hairy. See + // libdivide_u32_recover for more on what we do here. + // TODO: do something better than 128 bit math + + // Full n is a (potentially) 129 bit value + // half_n is a 128 bit value + // Compute the hi half of half_n. Low half is 0. + uint64_t half_n_hi = 1ULL << shift, half_n_lo = 0; + // d is a 65 bit value. The high bit is always set to 1. + const uint64_t d_hi = 1, d_lo = denom->magic; + // Note that the quotient is guaranteed <= 64 bits, + // but the remainder may need 65! + uint64_t r_hi, r_lo; + uint64_t half_q = libdivide_128_div_128_to_64(half_n_hi, half_n_lo, d_hi, d_lo, &r_hi, &r_lo); + // We computed 2^(64+shift)/(m+2^64) + // Double the remainder ('dr') and check if that is larger than d + // Note that d is a 65 bit value, so r1 is small and so r1 + r1 + // cannot overflow + uint64_t dr_lo = r_lo + r_lo; + uint64_t dr_hi = r_hi + r_hi + (dr_lo < r_lo); // last term is carry + int dr_exceeds_d = (dr_hi > d_hi) || (dr_hi == d_hi && dr_lo >= d_lo); + uint64_t full_q = half_q + half_q + (dr_exceeds_d ? 1 : 0); + return full_q + 1; + } +} + +/////////// SINT32 + +static inline struct libdivide_s32_t libdivide_internal_s32_gen(int32_t d, int branchfree) { + if (d == 0) { + LIBDIVIDE_ERROR("divider must be != 0"); + } + + struct libdivide_s32_t result; + + // If d is a power of 2, or negative a power of 2, we have to use a shift. + // This is especially important because the magic algorithm fails for -1. + // To check if d is a power of 2 or its inverse, it suffices to check + // whether its absolute value has exactly one bit set. This works even for + // INT_MIN, because abs(INT_MIN) == INT_MIN, and INT_MIN has one bit set + // and is a power of 2. + uint32_t ud = (uint32_t)d; + uint32_t absD = (d < 0) ? -ud : ud; + uint32_t floor_log_2_d = 31 - libdivide_count_leading_zeros32(absD); + // check if exactly one bit is set, + // don't care if absD is 0 since that's divide by zero + if ((absD & (absD - 1)) == 0) { + // Branchfree and normal paths are exactly the same + result.magic = 0; + result.more = floor_log_2_d | (d < 0 ? LIBDIVIDE_NEGATIVE_DIVISOR : 0); + } else { + LIBDIVIDE_ASSERT(floor_log_2_d >= 1); + + uint8_t more; + // the dividend here is 2**(floor_log_2_d + 31), so the low 32 bit word + // is 0 and the high word is floor_log_2_d - 1 + uint32_t rem, proposed_m; + proposed_m = libdivide_64_div_32_to_32(1U << (floor_log_2_d - 1), 0, absD, &rem); + const uint32_t e = absD - rem; + + // We are going to start with a power of floor_log_2_d - 1. + // This works if works if e < 2**floor_log_2_d. + if (!branchfree && e < (1U << floor_log_2_d)) { + // This power works + more = floor_log_2_d - 1; + } else { + // We need to go one higher. This should not make proposed_m + // overflow, but it will make it negative when interpreted as an + // int32_t. + proposed_m += proposed_m; + const uint32_t twice_rem = rem + rem; + if (twice_rem >= absD || twice_rem < rem) proposed_m += 1; + more = floor_log_2_d | LIBDIVIDE_ADD_MARKER; + } + + proposed_m += 1; + int32_t magic = (int32_t)proposed_m; + + // Mark if we are negative. Note we only negate the magic number in the + // branchfull case. + if (d < 0) { + more |= LIBDIVIDE_NEGATIVE_DIVISOR; + if (!branchfree) { + magic = -magic; + } + } + + result.more = more; + result.magic = magic; + } + return result; +} + +struct libdivide_s32_t libdivide_s32_gen(int32_t d) { + return libdivide_internal_s32_gen(d, 0); +} + +struct libdivide_s32_branchfree_t libdivide_s32_branchfree_gen(int32_t d) { + struct libdivide_s32_t tmp = libdivide_internal_s32_gen(d, 1); + struct libdivide_s32_branchfree_t result = {tmp.magic, tmp.more}; + return result; +} + +int32_t libdivide_s32_do(int32_t numer, const struct libdivide_s32_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + + if (!denom->magic) { + uint32_t sign = (int8_t)more >> 7; + uint32_t mask = (1U << shift) - 1; + uint32_t uq = numer + ((numer >> 31) & mask); + int32_t q = (int32_t)uq; + q >>= shift; + q = (q ^ sign) - sign; + return q; + } else { + uint32_t uq = (uint32_t)libdivide_mullhi_s32(denom->magic, numer); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift and then sign extend + int32_t sign = (int8_t)more >> 7; + // q += (more < 0 ? -numer : numer) + // cast required to avoid UB + uq += ((uint32_t)numer ^ sign) - sign; + } + int32_t q = (int32_t)uq; + q >>= shift; + q += (q < 0); + return q; + } +} + +int32_t libdivide_s32_branchfree_do(int32_t numer, const struct libdivide_s32_branchfree_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + // must be arithmetic shift and then sign extend + int32_t sign = (int8_t)more >> 7; + int32_t magic = denom->magic; + int32_t q = libdivide_mullhi_s32(magic, numer); + q += numer; + + // If q is non-negative, we have nothing to do + // If q is negative, we want to add either (2**shift)-1 if d is a power of + // 2, or (2**shift) if it is not a power of 2 + uint32_t is_power_of_2 = (magic == 0); + uint32_t q_sign = (uint32_t)(q >> 31); + q += q_sign & ((1U << shift) - is_power_of_2); + + // Now arithmetic right shift + q >>= shift; + // Negate if needed + q = (q ^ sign) - sign; + + return q; +} + +int32_t libdivide_s32_recover(const struct libdivide_s32_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + if (!denom->magic) { + uint32_t absD = 1U << shift; + if (more & LIBDIVIDE_NEGATIVE_DIVISOR) { + absD = -absD; + } + return (int32_t)absD; + } else { + // Unsigned math is much easier + // We negate the magic number only in the branchfull case, and we don't + // know which case we're in. However we have enough information to + // determine the correct sign of the magic number. The divisor was + // negative if LIBDIVIDE_NEGATIVE_DIVISOR is set. If ADD_MARKER is set, + // the magic number's sign is opposite that of the divisor. + // We want to compute the positive magic number. + int negative_divisor = (more & LIBDIVIDE_NEGATIVE_DIVISOR); + int magic_was_negated = (more & LIBDIVIDE_ADD_MARKER) + ? denom->magic > 0 : denom->magic < 0; + + // Handle the power of 2 case (including branchfree) + if (denom->magic == 0) { + int32_t result = 1U << shift; + return negative_divisor ? -result : result; + } + + uint32_t d = (uint32_t)(magic_was_negated ? -denom->magic : denom->magic); + uint64_t n = 1ULL << (32 + shift); // this shift cannot exceed 30 + uint32_t q = (uint32_t)(n / d); + int32_t result = (int32_t)q; + result += 1; + return negative_divisor ? -result : result; + } +} + +int32_t libdivide_s32_branchfree_recover(const struct libdivide_s32_branchfree_t *denom) { + return libdivide_s32_recover((const struct libdivide_s32_t *)denom); +} + +///////////// SINT64 + +static inline struct libdivide_s64_t libdivide_internal_s64_gen(int64_t d, int branchfree) { + if (d == 0) { + LIBDIVIDE_ERROR("divider must be != 0"); + } + + struct libdivide_s64_t result; + + // If d is a power of 2, or negative a power of 2, we have to use a shift. + // This is especially important because the magic algorithm fails for -1. + // To check if d is a power of 2 or its inverse, it suffices to check + // whether its absolute value has exactly one bit set. This works even for + // INT_MIN, because abs(INT_MIN) == INT_MIN, and INT_MIN has one bit set + // and is a power of 2. + uint64_t ud = (uint64_t)d; + uint64_t absD = (d < 0) ? -ud : ud; + uint32_t floor_log_2_d = 63 - libdivide_count_leading_zeros64(absD); + // check if exactly one bit is set, + // don't care if absD is 0 since that's divide by zero + if ((absD & (absD - 1)) == 0) { + // Branchfree and non-branchfree cases are the same + result.magic = 0; + result.more = floor_log_2_d | (d < 0 ? LIBDIVIDE_NEGATIVE_DIVISOR : 0); + } else { + // the dividend here is 2**(floor_log_2_d + 63), so the low 64 bit word + // is 0 and the high word is floor_log_2_d - 1 + uint8_t more; + uint64_t rem, proposed_m; + proposed_m = libdivide_128_div_64_to_64(1ULL << (floor_log_2_d - 1), 0, absD, &rem); + const uint64_t e = absD - rem; + + // We are going to start with a power of floor_log_2_d - 1. + // This works if works if e < 2**floor_log_2_d. + if (!branchfree && e < (1ULL << floor_log_2_d)) { + // This power works + more = floor_log_2_d - 1; + } else { + // We need to go one higher. This should not make proposed_m + // overflow, but it will make it negative when interpreted as an + // int32_t. + proposed_m += proposed_m; + const uint64_t twice_rem = rem + rem; + if (twice_rem >= absD || twice_rem < rem) proposed_m += 1; + // note that we only set the LIBDIVIDE_NEGATIVE_DIVISOR bit if we + // also set ADD_MARKER this is an annoying optimization that + // enables algorithm #4 to avoid the mask. However we always set it + // in the branchfree case + more = floor_log_2_d | LIBDIVIDE_ADD_MARKER; + } + proposed_m += 1; + int64_t magic = (int64_t)proposed_m; + + // Mark if we are negative + if (d < 0) { + more |= LIBDIVIDE_NEGATIVE_DIVISOR; + if (!branchfree) { + magic = -magic; + } + } + + result.more = more; + result.magic = magic; + } + return result; +} + +struct libdivide_s64_t libdivide_s64_gen(int64_t d) { + return libdivide_internal_s64_gen(d, 0); +} + +struct libdivide_s64_branchfree_t libdivide_s64_branchfree_gen(int64_t d) { + struct libdivide_s64_t tmp = libdivide_internal_s64_gen(d, 1); + struct libdivide_s64_branchfree_t ret = {tmp.magic, tmp.more}; + return ret; +} + +int64_t libdivide_s64_do(int64_t numer, const struct libdivide_s64_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + + if (!denom->magic) { // shift path + uint64_t mask = (1ULL << shift) - 1; + uint64_t uq = numer + ((numer >> 63) & mask); + int64_t q = (int64_t)uq; + q >>= shift; + // must be arithmetic shift and then sign-extend + int64_t sign = (int8_t)more >> 7; + q = (q ^ sign) - sign; + return q; + } else { + uint64_t uq = (uint64_t)libdivide_mullhi_s64(denom->magic, numer); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift and then sign extend + int64_t sign = (int8_t)more >> 7; + // q += (more < 0 ? -numer : numer) + // cast required to avoid UB + uq += ((uint64_t)numer ^ sign) - sign; + } + int64_t q = (int64_t)uq; + q >>= shift; + q += (q < 0); + return q; + } +} + +int64_t libdivide_s64_branchfree_do(int64_t numer, const struct libdivide_s64_branchfree_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + // must be arithmetic shift and then sign extend + int64_t sign = (int8_t)more >> 7; + int64_t magic = denom->magic; + int64_t q = libdivide_mullhi_s64(magic, numer); + q += numer; + + // If q is non-negative, we have nothing to do. + // If q is negative, we want to add either (2**shift)-1 if d is a power of + // 2, or (2**shift) if it is not a power of 2. + uint64_t is_power_of_2 = (magic == 0); + uint64_t q_sign = (uint64_t)(q >> 63); + q += q_sign & ((1ULL << shift) - is_power_of_2); + + // Arithmetic right shift + q >>= shift; + // Negate if needed + q = (q ^ sign) - sign; + + return q; +} + +int64_t libdivide_s64_recover(const struct libdivide_s64_t *denom) { + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + if (denom->magic == 0) { // shift path + uint64_t absD = 1ULL << shift; + if (more & LIBDIVIDE_NEGATIVE_DIVISOR) { + absD = -absD; + } + return (int64_t)absD; + } else { + // Unsigned math is much easier + int negative_divisor = (more & LIBDIVIDE_NEGATIVE_DIVISOR); + int magic_was_negated = (more & LIBDIVIDE_ADD_MARKER) + ? denom->magic > 0 : denom->magic < 0; + + uint64_t d = (uint64_t)(magic_was_negated ? -denom->magic : denom->magic); + uint64_t n_hi = 1ULL << shift, n_lo = 0; + uint64_t rem_ignored; + uint64_t q = libdivide_128_div_64_to_64(n_hi, n_lo, d, &rem_ignored); + int64_t result = (int64_t)(q + 1); + if (negative_divisor) { + result = -result; + } + return result; + } +} + +int64_t libdivide_s64_branchfree_recover(const struct libdivide_s64_branchfree_t *denom) { + return libdivide_s64_recover((const struct libdivide_s64_t *)denom); +} + +#if defined(LIBDIVIDE_AVX512) + +static inline __m512i libdivide_u32_do_vector(__m512i numers, const struct libdivide_u32_t *denom); +static inline __m512i libdivide_s32_do_vector(__m512i numers, const struct libdivide_s32_t *denom); +static inline __m512i libdivide_u64_do_vector(__m512i numers, const struct libdivide_u64_t *denom); +static inline __m512i libdivide_s64_do_vector(__m512i numers, const struct libdivide_s64_t *denom); + +static inline __m512i libdivide_u32_branchfree_do_vector(__m512i numers, const struct libdivide_u32_branchfree_t *denom); +static inline __m512i libdivide_s32_branchfree_do_vector(__m512i numers, const struct libdivide_s32_branchfree_t *denom); +static inline __m512i libdivide_u64_branchfree_do_vector(__m512i numers, const struct libdivide_u64_branchfree_t *denom); +static inline __m512i libdivide_s64_branchfree_do_vector(__m512i numers, const struct libdivide_s64_branchfree_t *denom); + +//////// Internal Utility Functions + +static inline __m512i libdivide_s64_signbits(__m512i v) {; + return _mm512_srai_epi64(v, 63); +} + +static inline __m512i libdivide_s64_shift_right_vector(__m512i v, int amt) { + return _mm512_srai_epi64(v, amt); +} + +// Here, b is assumed to contain one 32-bit value repeated. +static inline __m512i libdivide_mullhi_u32_vector(__m512i a, __m512i b) { + __m512i hi_product_0Z2Z = _mm512_srli_epi64(_mm512_mul_epu32(a, b), 32); + __m512i a1X3X = _mm512_srli_epi64(a, 32); + __m512i mask = _mm512_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0); + __m512i hi_product_Z1Z3 = _mm512_and_si512(_mm512_mul_epu32(a1X3X, b), mask); + return _mm512_or_si512(hi_product_0Z2Z, hi_product_Z1Z3); +} + +// b is one 32-bit value repeated. +static inline __m512i libdivide_mullhi_s32_vector(__m512i a, __m512i b) { + __m512i hi_product_0Z2Z = _mm512_srli_epi64(_mm512_mul_epi32(a, b), 32); + __m512i a1X3X = _mm512_srli_epi64(a, 32); + __m512i mask = _mm512_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0); + __m512i hi_product_Z1Z3 = _mm512_and_si512(_mm512_mul_epi32(a1X3X, b), mask); + return _mm512_or_si512(hi_product_0Z2Z, hi_product_Z1Z3); +} + +// Here, y is assumed to contain one 64-bit value repeated. +// https://stackoverflow.com/a/28827013 +static inline __m512i libdivide_mullhi_u64_vector(__m512i x, __m512i y) { + __m512i lomask = _mm512_set1_epi64(0xffffffff); + __m512i xh = _mm512_shuffle_epi32(x, (_MM_PERM_ENUM) 0xB1); + __m512i yh = _mm512_shuffle_epi32(y, (_MM_PERM_ENUM) 0xB1); + __m512i w0 = _mm512_mul_epu32(x, y); + __m512i w1 = _mm512_mul_epu32(x, yh); + __m512i w2 = _mm512_mul_epu32(xh, y); + __m512i w3 = _mm512_mul_epu32(xh, yh); + __m512i w0h = _mm512_srli_epi64(w0, 32); + __m512i s1 = _mm512_add_epi64(w1, w0h); + __m512i s1l = _mm512_and_si512(s1, lomask); + __m512i s1h = _mm512_srli_epi64(s1, 32); + __m512i s2 = _mm512_add_epi64(w2, s1l); + __m512i s2h = _mm512_srli_epi64(s2, 32); + __m512i hi = _mm512_add_epi64(w3, s1h); + hi = _mm512_add_epi64(hi, s2h); + + return hi; +} + +// y is one 64-bit value repeated. +static inline __m512i libdivide_mullhi_s64_vector(__m512i x, __m512i y) { + __m512i p = libdivide_mullhi_u64_vector(x, y); + __m512i t1 = _mm512_and_si512(libdivide_s64_signbits(x), y); + __m512i t2 = _mm512_and_si512(libdivide_s64_signbits(y), x); + p = _mm512_sub_epi64(p, t1); + p = _mm512_sub_epi64(p, t2); + return p; +} + +////////// UINT32 + +__m512i libdivide_u32_do_vector(__m512i numers, const struct libdivide_u32_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return _mm512_srli_epi32(numers, more); + } + else { + __m512i q = libdivide_mullhi_u32_vector(numers, _mm512_set1_epi32(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // uint32_t t = ((numer - q) >> 1) + q; + // return t >> denom->shift; + uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + __m512i t = _mm512_add_epi32(_mm512_srli_epi32(_mm512_sub_epi32(numers, q), 1), q); + return _mm512_srli_epi32(t, shift); + } + else { + return _mm512_srli_epi32(q, more); + } + } +} + +__m512i libdivide_u32_branchfree_do_vector(__m512i numers, const struct libdivide_u32_branchfree_t *denom) { + __m512i q = libdivide_mullhi_u32_vector(numers, _mm512_set1_epi32(denom->magic)); + __m512i t = _mm512_add_epi32(_mm512_srli_epi32(_mm512_sub_epi32(numers, q), 1), q); + return _mm512_srli_epi32(t, denom->more); +} + +////////// UINT64 + +__m512i libdivide_u64_do_vector(__m512i numers, const struct libdivide_u64_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return _mm512_srli_epi64(numers, more); + } + else { + __m512i q = libdivide_mullhi_u64_vector(numers, _mm512_set1_epi64(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // uint32_t t = ((numer - q) >> 1) + q; + // return t >> denom->shift; + uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + __m512i t = _mm512_add_epi64(_mm512_srli_epi64(_mm512_sub_epi64(numers, q), 1), q); + return _mm512_srli_epi64(t, shift); + } + else { + return _mm512_srli_epi64(q, more); + } + } +} + +__m512i libdivide_u64_branchfree_do_vector(__m512i numers, const struct libdivide_u64_branchfree_t *denom) { + __m512i q = libdivide_mullhi_u64_vector(numers, _mm512_set1_epi64(denom->magic)); + __m512i t = _mm512_add_epi64(_mm512_srli_epi64(_mm512_sub_epi64(numers, q), 1), q); + return _mm512_srli_epi64(t, denom->more); +} + +////////// SINT32 + +__m512i libdivide_s32_do_vector(__m512i numers, const struct libdivide_s32_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + uint32_t mask = (1U << shift) - 1; + __m512i roundToZeroTweak = _mm512_set1_epi32(mask); + // q = numer + ((numer >> 31) & roundToZeroTweak); + __m512i q = _mm512_add_epi32(numers, _mm512_and_si512(_mm512_srai_epi32(numers, 31), roundToZeroTweak)); + q = _mm512_srai_epi32(q, shift); + __m512i sign = _mm512_set1_epi32((int8_t)more >> 7); + // q = (q ^ sign) - sign; + q = _mm512_sub_epi32(_mm512_xor_si512(q, sign), sign); + return q; + } + else { + __m512i q = libdivide_mullhi_s32_vector(numers, _mm512_set1_epi32(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift + __m512i sign = _mm512_set1_epi32((int8_t)more >> 7); + // q += ((numer ^ sign) - sign); + q = _mm512_add_epi32(q, _mm512_sub_epi32(_mm512_xor_si512(numers, sign), sign)); + } + // q >>= shift + q = _mm512_srai_epi32(q, more & LIBDIVIDE_32_SHIFT_MASK); + q = _mm512_add_epi32(q, _mm512_srli_epi32(q, 31)); // q += (q < 0) + return q; + } +} + +__m512i libdivide_s32_branchfree_do_vector(__m512i numers, const struct libdivide_s32_branchfree_t *denom) { + int32_t magic = denom->magic; + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + // must be arithmetic shift + __m512i sign = _mm512_set1_epi32((int8_t)more >> 7); + __m512i q = libdivide_mullhi_s32_vector(numers, _mm512_set1_epi32(magic)); + q = _mm512_add_epi32(q, numers); // q += numers + + // If q is non-negative, we have nothing to do + // If q is negative, we want to add either (2**shift)-1 if d is + // a power of 2, or (2**shift) if it is not a power of 2 + uint32_t is_power_of_2 = (magic == 0); + __m512i q_sign = _mm512_srai_epi32(q, 31); // q_sign = q >> 31 + __m512i mask = _mm512_set1_epi32((1U << shift) - is_power_of_2); + q = _mm512_add_epi32(q, _mm512_and_si512(q_sign, mask)); // q = q + (q_sign & mask) + q = _mm512_srai_epi32(q, shift); // q >>= shift + q = _mm512_sub_epi32(_mm512_xor_si512(q, sign), sign); // q = (q ^ sign) - sign + return q; +} + +////////// SINT64 + +__m512i libdivide_s64_do_vector(__m512i numers, const struct libdivide_s64_t *denom) { + uint8_t more = denom->more; + int64_t magic = denom->magic; + if (magic == 0) { // shift path + uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + uint64_t mask = (1ULL << shift) - 1; + __m512i roundToZeroTweak = _mm512_set1_epi64(mask); + // q = numer + ((numer >> 63) & roundToZeroTweak); + __m512i q = _mm512_add_epi64(numers, _mm512_and_si512(libdivide_s64_signbits(numers), roundToZeroTweak)); + q = libdivide_s64_shift_right_vector(q, shift); + __m512i sign = _mm512_set1_epi32((int8_t)more >> 7); + // q = (q ^ sign) - sign; + q = _mm512_sub_epi64(_mm512_xor_si512(q, sign), sign); + return q; + } + else { + __m512i q = libdivide_mullhi_s64_vector(numers, _mm512_set1_epi64(magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift + __m512i sign = _mm512_set1_epi32((int8_t)more >> 7); + // q += ((numer ^ sign) - sign); + q = _mm512_add_epi64(q, _mm512_sub_epi64(_mm512_xor_si512(numers, sign), sign)); + } + // q >>= denom->mult_path.shift + q = libdivide_s64_shift_right_vector(q, more & LIBDIVIDE_64_SHIFT_MASK); + q = _mm512_add_epi64(q, _mm512_srli_epi64(q, 63)); // q += (q < 0) + return q; + } +} + +__m512i libdivide_s64_branchfree_do_vector(__m512i numers, const struct libdivide_s64_branchfree_t *denom) { + int64_t magic = denom->magic; + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + // must be arithmetic shift + __m512i sign = _mm512_set1_epi32((int8_t)more >> 7); + + // libdivide_mullhi_s64(numers, magic); + __m512i q = libdivide_mullhi_s64_vector(numers, _mm512_set1_epi64(magic)); + q = _mm512_add_epi64(q, numers); // q += numers + + // If q is non-negative, we have nothing to do. + // If q is negative, we want to add either (2**shift)-1 if d is + // a power of 2, or (2**shift) if it is not a power of 2. + uint32_t is_power_of_2 = (magic == 0); + __m512i q_sign = libdivide_s64_signbits(q); // q_sign = q >> 63 + __m512i mask = _mm512_set1_epi64((1ULL << shift) - is_power_of_2); + q = _mm512_add_epi64(q, _mm512_and_si512(q_sign, mask)); // q = q + (q_sign & mask) + q = libdivide_s64_shift_right_vector(q, shift); // q >>= shift + q = _mm512_sub_epi64(_mm512_xor_si512(q, sign), sign); // q = (q ^ sign) - sign + return q; +} + +#elif defined(LIBDIVIDE_AVX2) + +static inline __m256i libdivide_u32_do_vector(__m256i numers, const struct libdivide_u32_t *denom); +static inline __m256i libdivide_s32_do_vector(__m256i numers, const struct libdivide_s32_t *denom); +static inline __m256i libdivide_u64_do_vector(__m256i numers, const struct libdivide_u64_t *denom); +static inline __m256i libdivide_s64_do_vector(__m256i numers, const struct libdivide_s64_t *denom); + +static inline __m256i libdivide_u32_branchfree_do_vector(__m256i numers, const struct libdivide_u32_branchfree_t *denom); +static inline __m256i libdivide_s32_branchfree_do_vector(__m256i numers, const struct libdivide_s32_branchfree_t *denom); +static inline __m256i libdivide_u64_branchfree_do_vector(__m256i numers, const struct libdivide_u64_branchfree_t *denom); +static inline __m256i libdivide_s64_branchfree_do_vector(__m256i numers, const struct libdivide_s64_branchfree_t *denom); + +//////// Internal Utility Functions + +// Implementation of _mm256_srai_epi64(v, 63) (from AVX512). +static inline __m256i libdivide_s64_signbits(__m256i v) { + __m256i hiBitsDuped = _mm256_shuffle_epi32(v, _MM_SHUFFLE(3, 3, 1, 1)); + __m256i signBits = _mm256_srai_epi32(hiBitsDuped, 31); + return signBits; +} + +// Implementation of _mm256_srai_epi64 (from AVX512). +static inline __m256i libdivide_s64_shift_right_vector(__m256i v, int amt) { + const int b = 64 - amt; + __m256i m = _mm256_set1_epi64x(1ULL << (b - 1)); + __m256i x = _mm256_srli_epi64(v, amt); + __m256i result = _mm256_sub_epi64(_mm256_xor_si256(x, m), m); + return result; +} + +// Here, b is assumed to contain one 32-bit value repeated. +static inline __m256i libdivide_mullhi_u32_vector(__m256i a, __m256i b) { + __m256i hi_product_0Z2Z = _mm256_srli_epi64(_mm256_mul_epu32(a, b), 32); + __m256i a1X3X = _mm256_srli_epi64(a, 32); + __m256i mask = _mm256_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0); + __m256i hi_product_Z1Z3 = _mm256_and_si256(_mm256_mul_epu32(a1X3X, b), mask); + return _mm256_or_si256(hi_product_0Z2Z, hi_product_Z1Z3); +} + +// b is one 32-bit value repeated. +static inline __m256i libdivide_mullhi_s32_vector(__m256i a, __m256i b) { + __m256i hi_product_0Z2Z = _mm256_srli_epi64(_mm256_mul_epi32(a, b), 32); + __m256i a1X3X = _mm256_srli_epi64(a, 32); + __m256i mask = _mm256_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0); + __m256i hi_product_Z1Z3 = _mm256_and_si256(_mm256_mul_epi32(a1X3X, b), mask); + return _mm256_or_si256(hi_product_0Z2Z, hi_product_Z1Z3); +} + +// Here, y is assumed to contain one 64-bit value repeated. +// https://stackoverflow.com/a/28827013 +static inline __m256i libdivide_mullhi_u64_vector(__m256i x, __m256i y) { + __m256i lomask = _mm256_set1_epi64x(0xffffffff); + __m256i xh = _mm256_shuffle_epi32(x, 0xB1); // x0l, x0h, x1l, x1h + __m256i yh = _mm256_shuffle_epi32(y, 0xB1); // y0l, y0h, y1l, y1h + __m256i w0 = _mm256_mul_epu32(x, y); // x0l*y0l, x1l*y1l + __m256i w1 = _mm256_mul_epu32(x, yh); // x0l*y0h, x1l*y1h + __m256i w2 = _mm256_mul_epu32(xh, y); // x0h*y0l, x1h*y0l + __m256i w3 = _mm256_mul_epu32(xh, yh); // x0h*y0h, x1h*y1h + __m256i w0h = _mm256_srli_epi64(w0, 32); + __m256i s1 = _mm256_add_epi64(w1, w0h); + __m256i s1l = _mm256_and_si256(s1, lomask); + __m256i s1h = _mm256_srli_epi64(s1, 32); + __m256i s2 = _mm256_add_epi64(w2, s1l); + __m256i s2h = _mm256_srli_epi64(s2, 32); + __m256i hi = _mm256_add_epi64(w3, s1h); + hi = _mm256_add_epi64(hi, s2h); + + return hi; +} + +// y is one 64-bit value repeated. +static inline __m256i libdivide_mullhi_s64_vector(__m256i x, __m256i y) { + __m256i p = libdivide_mullhi_u64_vector(x, y); + __m256i t1 = _mm256_and_si256(libdivide_s64_signbits(x), y); + __m256i t2 = _mm256_and_si256(libdivide_s64_signbits(y), x); + p = _mm256_sub_epi64(p, t1); + p = _mm256_sub_epi64(p, t2); + return p; +} + +////////// UINT32 + +__m256i libdivide_u32_do_vector(__m256i numers, const struct libdivide_u32_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return _mm256_srli_epi32(numers, more); + } + else { + __m256i q = libdivide_mullhi_u32_vector(numers, _mm256_set1_epi32(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // uint32_t t = ((numer - q) >> 1) + q; + // return t >> denom->shift; + uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + __m256i t = _mm256_add_epi32(_mm256_srli_epi32(_mm256_sub_epi32(numers, q), 1), q); + return _mm256_srli_epi32(t, shift); + } + else { + return _mm256_srli_epi32(q, more); + } + } +} + +__m256i libdivide_u32_branchfree_do_vector(__m256i numers, const struct libdivide_u32_branchfree_t *denom) { + __m256i q = libdivide_mullhi_u32_vector(numers, _mm256_set1_epi32(denom->magic)); + __m256i t = _mm256_add_epi32(_mm256_srli_epi32(_mm256_sub_epi32(numers, q), 1), q); + return _mm256_srli_epi32(t, denom->more); +} + +////////// UINT64 + +__m256i libdivide_u64_do_vector(__m256i numers, const struct libdivide_u64_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return _mm256_srli_epi64(numers, more); + } + else { + __m256i q = libdivide_mullhi_u64_vector(numers, _mm256_set1_epi64x(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // uint32_t t = ((numer - q) >> 1) + q; + // return t >> denom->shift; + uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + __m256i t = _mm256_add_epi64(_mm256_srli_epi64(_mm256_sub_epi64(numers, q), 1), q); + return _mm256_srli_epi64(t, shift); + } + else { + return _mm256_srli_epi64(q, more); + } + } +} + +__m256i libdivide_u64_branchfree_do_vector(__m256i numers, const struct libdivide_u64_branchfree_t *denom) { + __m256i q = libdivide_mullhi_u64_vector(numers, _mm256_set1_epi64x(denom->magic)); + __m256i t = _mm256_add_epi64(_mm256_srli_epi64(_mm256_sub_epi64(numers, q), 1), q); + return _mm256_srli_epi64(t, denom->more); +} + +////////// SINT32 + +__m256i libdivide_s32_do_vector(__m256i numers, const struct libdivide_s32_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + uint32_t mask = (1U << shift) - 1; + __m256i roundToZeroTweak = _mm256_set1_epi32(mask); + // q = numer + ((numer >> 31) & roundToZeroTweak); + __m256i q = _mm256_add_epi32(numers, _mm256_and_si256(_mm256_srai_epi32(numers, 31), roundToZeroTweak)); + q = _mm256_srai_epi32(q, shift); + __m256i sign = _mm256_set1_epi32((int8_t)more >> 7); + // q = (q ^ sign) - sign; + q = _mm256_sub_epi32(_mm256_xor_si256(q, sign), sign); + return q; + } + else { + __m256i q = libdivide_mullhi_s32_vector(numers, _mm256_set1_epi32(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift + __m256i sign = _mm256_set1_epi32((int8_t)more >> 7); + // q += ((numer ^ sign) - sign); + q = _mm256_add_epi32(q, _mm256_sub_epi32(_mm256_xor_si256(numers, sign), sign)); + } + // q >>= shift + q = _mm256_srai_epi32(q, more & LIBDIVIDE_32_SHIFT_MASK); + q = _mm256_add_epi32(q, _mm256_srli_epi32(q, 31)); // q += (q < 0) + return q; + } +} + +__m256i libdivide_s32_branchfree_do_vector(__m256i numers, const struct libdivide_s32_branchfree_t *denom) { + int32_t magic = denom->magic; + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + // must be arithmetic shift + __m256i sign = _mm256_set1_epi32((int8_t)more >> 7); + __m256i q = libdivide_mullhi_s32_vector(numers, _mm256_set1_epi32(magic)); + q = _mm256_add_epi32(q, numers); // q += numers + + // If q is non-negative, we have nothing to do + // If q is negative, we want to add either (2**shift)-1 if d is + // a power of 2, or (2**shift) if it is not a power of 2 + uint32_t is_power_of_2 = (magic == 0); + __m256i q_sign = _mm256_srai_epi32(q, 31); // q_sign = q >> 31 + __m256i mask = _mm256_set1_epi32((1U << shift) - is_power_of_2); + q = _mm256_add_epi32(q, _mm256_and_si256(q_sign, mask)); // q = q + (q_sign & mask) + q = _mm256_srai_epi32(q, shift); // q >>= shift + q = _mm256_sub_epi32(_mm256_xor_si256(q, sign), sign); // q = (q ^ sign) - sign + return q; +} + +////////// SINT64 + +__m256i libdivide_s64_do_vector(__m256i numers, const struct libdivide_s64_t *denom) { + uint8_t more = denom->more; + int64_t magic = denom->magic; + if (magic == 0) { // shift path + uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + uint64_t mask = (1ULL << shift) - 1; + __m256i roundToZeroTweak = _mm256_set1_epi64x(mask); + // q = numer + ((numer >> 63) & roundToZeroTweak); + __m256i q = _mm256_add_epi64(numers, _mm256_and_si256(libdivide_s64_signbits(numers), roundToZeroTweak)); + q = libdivide_s64_shift_right_vector(q, shift); + __m256i sign = _mm256_set1_epi32((int8_t)more >> 7); + // q = (q ^ sign) - sign; + q = _mm256_sub_epi64(_mm256_xor_si256(q, sign), sign); + return q; + } + else { + __m256i q = libdivide_mullhi_s64_vector(numers, _mm256_set1_epi64x(magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift + __m256i sign = _mm256_set1_epi32((int8_t)more >> 7); + // q += ((numer ^ sign) - sign); + q = _mm256_add_epi64(q, _mm256_sub_epi64(_mm256_xor_si256(numers, sign), sign)); + } + // q >>= denom->mult_path.shift + q = libdivide_s64_shift_right_vector(q, more & LIBDIVIDE_64_SHIFT_MASK); + q = _mm256_add_epi64(q, _mm256_srli_epi64(q, 63)); // q += (q < 0) + return q; + } +} + +__m256i libdivide_s64_branchfree_do_vector(__m256i numers, const struct libdivide_s64_branchfree_t *denom) { + int64_t magic = denom->magic; + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + // must be arithmetic shift + __m256i sign = _mm256_set1_epi32((int8_t)more >> 7); + + // libdivide_mullhi_s64(numers, magic); + __m256i q = libdivide_mullhi_s64_vector(numers, _mm256_set1_epi64x(magic)); + q = _mm256_add_epi64(q, numers); // q += numers + + // If q is non-negative, we have nothing to do. + // If q is negative, we want to add either (2**shift)-1 if d is + // a power of 2, or (2**shift) if it is not a power of 2. + uint32_t is_power_of_2 = (magic == 0); + __m256i q_sign = libdivide_s64_signbits(q); // q_sign = q >> 63 + __m256i mask = _mm256_set1_epi64x((1ULL << shift) - is_power_of_2); + q = _mm256_add_epi64(q, _mm256_and_si256(q_sign, mask)); // q = q + (q_sign & mask) + q = libdivide_s64_shift_right_vector(q, shift); // q >>= shift + q = _mm256_sub_epi64(_mm256_xor_si256(q, sign), sign); // q = (q ^ sign) - sign + return q; +} + +#elif defined(LIBDIVIDE_SSE2) + +static inline __m128i libdivide_u32_do_vector(__m128i numers, const struct libdivide_u32_t *denom); +static inline __m128i libdivide_s32_do_vector(__m128i numers, const struct libdivide_s32_t *denom); +static inline __m128i libdivide_u64_do_vector(__m128i numers, const struct libdivide_u64_t *denom); +static inline __m128i libdivide_s64_do_vector(__m128i numers, const struct libdivide_s64_t *denom); + +static inline __m128i libdivide_u32_branchfree_do_vector(__m128i numers, const struct libdivide_u32_branchfree_t *denom); +static inline __m128i libdivide_s32_branchfree_do_vector(__m128i numers, const struct libdivide_s32_branchfree_t *denom); +static inline __m128i libdivide_u64_branchfree_do_vector(__m128i numers, const struct libdivide_u64_branchfree_t *denom); +static inline __m128i libdivide_s64_branchfree_do_vector(__m128i numers, const struct libdivide_s64_branchfree_t *denom); + +//////// Internal Utility Functions + +// Implementation of _mm_srai_epi64(v, 63) (from AVX512). +static inline __m128i libdivide_s64_signbits(__m128i v) { + __m128i hiBitsDuped = _mm_shuffle_epi32(v, _MM_SHUFFLE(3, 3, 1, 1)); + __m128i signBits = _mm_srai_epi32(hiBitsDuped, 31); + return signBits; +} + +// Implementation of _mm_srai_epi64 (from AVX512). +static inline __m128i libdivide_s64_shift_right_vector(__m128i v, int amt) { + const int b = 64 - amt; + __m128i m = _mm_set1_epi64x(1ULL << (b - 1)); + __m128i x = _mm_srli_epi64(v, amt); + __m128i result = _mm_sub_epi64(_mm_xor_si128(x, m), m); + return result; +} + +// Here, b is assumed to contain one 32-bit value repeated. +static inline __m128i libdivide_mullhi_u32_vector(__m128i a, __m128i b) { + __m128i hi_product_0Z2Z = _mm_srli_epi64(_mm_mul_epu32(a, b), 32); + __m128i a1X3X = _mm_srli_epi64(a, 32); + __m128i mask = _mm_set_epi32(-1, 0, -1, 0); + __m128i hi_product_Z1Z3 = _mm_and_si128(_mm_mul_epu32(a1X3X, b), mask); + return _mm_or_si128(hi_product_0Z2Z, hi_product_Z1Z3); +} + +// SSE2 does not have a signed multiplication instruction, but we can convert +// unsigned to signed pretty efficiently. Again, b is just a 32 bit value +// repeated four times. +static inline __m128i libdivide_mullhi_s32_vector(__m128i a, __m128i b) { + __m128i p = libdivide_mullhi_u32_vector(a, b); + // t1 = (a >> 31) & y, arithmetic shift + __m128i t1 = _mm_and_si128(_mm_srai_epi32(a, 31), b); + __m128i t2 = _mm_and_si128(_mm_srai_epi32(b, 31), a); + p = _mm_sub_epi32(p, t1); + p = _mm_sub_epi32(p, t2); + return p; +} + +// Here, y is assumed to contain one 64-bit value repeated. +// https://stackoverflow.com/a/28827013 +static inline __m128i libdivide_mullhi_u64_vector(__m128i x, __m128i y) { + __m128i lomask = _mm_set1_epi64x(0xffffffff); + __m128i xh = _mm_shuffle_epi32(x, 0xB1); // x0l, x0h, x1l, x1h + __m128i yh = _mm_shuffle_epi32(y, 0xB1); // y0l, y0h, y1l, y1h + __m128i w0 = _mm_mul_epu32(x, y); // x0l*y0l, x1l*y1l + __m128i w1 = _mm_mul_epu32(x, yh); // x0l*y0h, x1l*y1h + __m128i w2 = _mm_mul_epu32(xh, y); // x0h*y0l, x1h*y0l + __m128i w3 = _mm_mul_epu32(xh, yh); // x0h*y0h, x1h*y1h + __m128i w0h = _mm_srli_epi64(w0, 32); + __m128i s1 = _mm_add_epi64(w1, w0h); + __m128i s1l = _mm_and_si128(s1, lomask); + __m128i s1h = _mm_srli_epi64(s1, 32); + __m128i s2 = _mm_add_epi64(w2, s1l); + __m128i s2h = _mm_srli_epi64(s2, 32); + __m128i hi = _mm_add_epi64(w3, s1h); + hi = _mm_add_epi64(hi, s2h); + + return hi; +} + +// y is one 64-bit value repeated. +static inline __m128i libdivide_mullhi_s64_vector(__m128i x, __m128i y) { + __m128i p = libdivide_mullhi_u64_vector(x, y); + __m128i t1 = _mm_and_si128(libdivide_s64_signbits(x), y); + __m128i t2 = _mm_and_si128(libdivide_s64_signbits(y), x); + p = _mm_sub_epi64(p, t1); + p = _mm_sub_epi64(p, t2); + return p; +} + +////////// UINT32 + +__m128i libdivide_u32_do_vector(__m128i numers, const struct libdivide_u32_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return _mm_srli_epi32(numers, more); + } + else { + __m128i q = libdivide_mullhi_u32_vector(numers, _mm_set1_epi32(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // uint32_t t = ((numer - q) >> 1) + q; + // return t >> denom->shift; + uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + __m128i t = _mm_add_epi32(_mm_srli_epi32(_mm_sub_epi32(numers, q), 1), q); + return _mm_srli_epi32(t, shift); + } + else { + return _mm_srli_epi32(q, more); + } + } +} + +__m128i libdivide_u32_branchfree_do_vector(__m128i numers, const struct libdivide_u32_branchfree_t *denom) { + __m128i q = libdivide_mullhi_u32_vector(numers, _mm_set1_epi32(denom->magic)); + __m128i t = _mm_add_epi32(_mm_srli_epi32(_mm_sub_epi32(numers, q), 1), q); + return _mm_srli_epi32(t, denom->more); +} + +////////// UINT64 + +__m128i libdivide_u64_do_vector(__m128i numers, const struct libdivide_u64_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + return _mm_srli_epi64(numers, more); + } + else { + __m128i q = libdivide_mullhi_u64_vector(numers, _mm_set1_epi64x(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // uint32_t t = ((numer - q) >> 1) + q; + // return t >> denom->shift; + uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + __m128i t = _mm_add_epi64(_mm_srli_epi64(_mm_sub_epi64(numers, q), 1), q); + return _mm_srli_epi64(t, shift); + } + else { + return _mm_srli_epi64(q, more); + } + } +} + +__m128i libdivide_u64_branchfree_do_vector(__m128i numers, const struct libdivide_u64_branchfree_t *denom) { + __m128i q = libdivide_mullhi_u64_vector(numers, _mm_set1_epi64x(denom->magic)); + __m128i t = _mm_add_epi64(_mm_srli_epi64(_mm_sub_epi64(numers, q), 1), q); + return _mm_srli_epi64(t, denom->more); +} + +////////// SINT32 + +__m128i libdivide_s32_do_vector(__m128i numers, const struct libdivide_s32_t *denom) { + uint8_t more = denom->more; + if (!denom->magic) { + uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + uint32_t mask = (1U << shift) - 1; + __m128i roundToZeroTweak = _mm_set1_epi32(mask); + // q = numer + ((numer >> 31) & roundToZeroTweak); + __m128i q = _mm_add_epi32(numers, _mm_and_si128(_mm_srai_epi32(numers, 31), roundToZeroTweak)); + q = _mm_srai_epi32(q, shift); + __m128i sign = _mm_set1_epi32((int8_t)more >> 7); + // q = (q ^ sign) - sign; + q = _mm_sub_epi32(_mm_xor_si128(q, sign), sign); + return q; + } + else { + __m128i q = libdivide_mullhi_s32_vector(numers, _mm_set1_epi32(denom->magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift + __m128i sign = _mm_set1_epi32((int8_t)more >> 7); + // q += ((numer ^ sign) - sign); + q = _mm_add_epi32(q, _mm_sub_epi32(_mm_xor_si128(numers, sign), sign)); + } + // q >>= shift + q = _mm_srai_epi32(q, more & LIBDIVIDE_32_SHIFT_MASK); + q = _mm_add_epi32(q, _mm_srli_epi32(q, 31)); // q += (q < 0) + return q; + } +} + +__m128i libdivide_s32_branchfree_do_vector(__m128i numers, const struct libdivide_s32_branchfree_t *denom) { + int32_t magic = denom->magic; + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK; + // must be arithmetic shift + __m128i sign = _mm_set1_epi32((int8_t)more >> 7); + __m128i q = libdivide_mullhi_s32_vector(numers, _mm_set1_epi32(magic)); + q = _mm_add_epi32(q, numers); // q += numers + + // If q is non-negative, we have nothing to do + // If q is negative, we want to add either (2**shift)-1 if d is + // a power of 2, or (2**shift) if it is not a power of 2 + uint32_t is_power_of_2 = (magic == 0); + __m128i q_sign = _mm_srai_epi32(q, 31); // q_sign = q >> 31 + __m128i mask = _mm_set1_epi32((1U << shift) - is_power_of_2); + q = _mm_add_epi32(q, _mm_and_si128(q_sign, mask)); // q = q + (q_sign & mask) + q = _mm_srai_epi32(q, shift); // q >>= shift + q = _mm_sub_epi32(_mm_xor_si128(q, sign), sign); // q = (q ^ sign) - sign + return q; +} + +////////// SINT64 + +__m128i libdivide_s64_do_vector(__m128i numers, const struct libdivide_s64_t *denom) { + uint8_t more = denom->more; + int64_t magic = denom->magic; + if (magic == 0) { // shift path + uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + uint64_t mask = (1ULL << shift) - 1; + __m128i roundToZeroTweak = _mm_set1_epi64x(mask); + // q = numer + ((numer >> 63) & roundToZeroTweak); + __m128i q = _mm_add_epi64(numers, _mm_and_si128(libdivide_s64_signbits(numers), roundToZeroTweak)); + q = libdivide_s64_shift_right_vector(q, shift); + __m128i sign = _mm_set1_epi32((int8_t)more >> 7); + // q = (q ^ sign) - sign; + q = _mm_sub_epi64(_mm_xor_si128(q, sign), sign); + return q; + } + else { + __m128i q = libdivide_mullhi_s64_vector(numers, _mm_set1_epi64x(magic)); + if (more & LIBDIVIDE_ADD_MARKER) { + // must be arithmetic shift + __m128i sign = _mm_set1_epi32((int8_t)more >> 7); + // q += ((numer ^ sign) - sign); + q = _mm_add_epi64(q, _mm_sub_epi64(_mm_xor_si128(numers, sign), sign)); + } + // q >>= denom->mult_path.shift + q = libdivide_s64_shift_right_vector(q, more & LIBDIVIDE_64_SHIFT_MASK); + q = _mm_add_epi64(q, _mm_srli_epi64(q, 63)); // q += (q < 0) + return q; + } +} + +__m128i libdivide_s64_branchfree_do_vector(__m128i numers, const struct libdivide_s64_branchfree_t *denom) { + int64_t magic = denom->magic; + uint8_t more = denom->more; + uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK; + // must be arithmetic shift + __m128i sign = _mm_set1_epi32((int8_t)more >> 7); + + // libdivide_mullhi_s64(numers, magic); + __m128i q = libdivide_mullhi_s64_vector(numers, _mm_set1_epi64x(magic)); + q = _mm_add_epi64(q, numers); // q += numers + + // If q is non-negative, we have nothing to do. + // If q is negative, we want to add either (2**shift)-1 if d is + // a power of 2, or (2**shift) if it is not a power of 2. + uint32_t is_power_of_2 = (magic == 0); + __m128i q_sign = libdivide_s64_signbits(q); // q_sign = q >> 63 + __m128i mask = _mm_set1_epi64x((1ULL << shift) - is_power_of_2); + q = _mm_add_epi64(q, _mm_and_si128(q_sign, mask)); // q = q + (q_sign & mask) + q = libdivide_s64_shift_right_vector(q, shift); // q >>= shift + q = _mm_sub_epi64(_mm_xor_si128(q, sign), sign); // q = (q ^ sign) - sign + return q; +} + +#endif + +/////////// C++ stuff + +#ifdef __cplusplus + +// The C++ divider class is templated on both an integer type +// (like uint64_t) and an algorithm type. +// * BRANCHFULL is the default algorithm type. +// * BRANCHFREE is the branchfree algorithm type. +enum { + BRANCHFULL, + BRANCHFREE +}; + +#if defined(LIBDIVIDE_AVX512) + #define LIBDIVIDE_VECTOR_TYPE __m512i +#elif defined(LIBDIVIDE_AVX2) + #define LIBDIVIDE_VECTOR_TYPE __m256i +#elif defined(LIBDIVIDE_SSE2) + #define LIBDIVIDE_VECTOR_TYPE __m128i +#endif + +#if !defined(LIBDIVIDE_VECTOR_TYPE) + #define LIBDIVIDE_DIVIDE_VECTOR(ALGO) +#else + #define LIBDIVIDE_DIVIDE_VECTOR(ALGO) \ + LIBDIVIDE_VECTOR_TYPE divide(LIBDIVIDE_VECTOR_TYPE n) const { \ + return libdivide_##ALGO##_do_vector(n, &denom); \ + } +#endif + +// The DISPATCHER_GEN() macro generates C++ methods (for the given integer +// and algorithm types) that redirect to libdivide's C API. +#define DISPATCHER_GEN(T, ALGO) \ + libdivide_##ALGO##_t denom; \ + dispatcher() { } \ + dispatcher(T d) \ + : denom(libdivide_##ALGO##_gen(d)) \ + { } \ + T divide(T n) const { \ + return libdivide_##ALGO##_do(n, &denom); \ + } \ + LIBDIVIDE_DIVIDE_VECTOR(ALGO) \ + T recover() const { \ + return libdivide_##ALGO##_recover(&denom); \ + } + +// The dispatcher selects a specific division algorithm for a given +// type and ALGO using partial template specialization. +template struct dispatcher { }; + +template<> struct dispatcher { DISPATCHER_GEN(int32_t, s32) }; +template<> struct dispatcher { DISPATCHER_GEN(int32_t, s32_branchfree) }; +template<> struct dispatcher { DISPATCHER_GEN(uint32_t, u32) }; +template<> struct dispatcher { DISPATCHER_GEN(uint32_t, u32_branchfree) }; +template<> struct dispatcher { DISPATCHER_GEN(int64_t, s64) }; +template<> struct dispatcher { DISPATCHER_GEN(int64_t, s64_branchfree) }; +template<> struct dispatcher { DISPATCHER_GEN(uint64_t, u64) }; +template<> struct dispatcher { DISPATCHER_GEN(uint64_t, u64_branchfree) }; + +// This is the main divider class for use by the user (C++ API). +// The actual division algorithm is selected using the dispatcher struct +// based on the integer and algorithm template parameters. +template +class divider { +public: + // We leave the default constructor empty so that creating + // an array of dividers and then initializing them + // later doesn't slow us down. + divider() { } + + // Constructor that takes the divisor as a parameter + divider(T d) : div(d) { } + + // Divides n by the divisor + T divide(T n) const { + return div.divide(n); + } + + // Recovers the divisor, returns the value that was + // used to initialize this divider object. + T recover() const { + return div.recover(); + } + + bool operator==(const divider& other) const { + return div.denom.magic == other.denom.magic && + div.denom.more == other.denom.more; + } + + bool operator!=(const divider& other) const { + return !(*this == other); + } + +#if defined(LIBDIVIDE_VECTOR_TYPE) + // Treats the vector as packed integer values with the same type as + // the divider (e.g. s32, u32, s64, u64) and divides each of + // them by the divider, returning the packed quotients. + LIBDIVIDE_VECTOR_TYPE divide(LIBDIVIDE_VECTOR_TYPE n) const { + return div.divide(n); + } +#endif + +private: + // Storage for the actual divisor + dispatcher::value, + std::is_signed::value, sizeof(T), ALGO> div; +}; + +// Overload of operator / for scalar division +template +T operator/(T n, const divider& div) { + return div.divide(n); +} + +// Overload of operator /= for scalar division +template +T& operator/=(T& n, const divider& div) { + n = div.divide(n); + return n; +} + +#if defined(LIBDIVIDE_VECTOR_TYPE) + // Overload of operator / for vector division + template + LIBDIVIDE_VECTOR_TYPE operator/(LIBDIVIDE_VECTOR_TYPE n, const divider& div) { + return div.divide(n); + } + // Overload of operator /= for vector division + template + LIBDIVIDE_VECTOR_TYPE& operator/=(LIBDIVIDE_VECTOR_TYPE& n, const divider& div) { + n = div.divide(n); + return n; + } +#endif + +// libdivdie::branchfree_divider +template +using branchfree_divider = divider; + +} // namespace libdivide + +#endif // __cplusplus + +#endif // NUMPY_CORE_INCLUDE_NUMPY_LIBDIVIDE_LIBDIVIDE_H_ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ufuncobject.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ufuncobject.h new file mode 100644 index 0000000000000000000000000000000000000000..169a93eb5597777b67733cb5806bca7a2d38cc56 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/ufuncobject.h @@ -0,0 +1,347 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_UFUNCOBJECT_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_UFUNCOBJECT_H_ + +#include +#include + +#ifdef __cplusplus +extern "C" { +#endif + +/* + * The legacy generic inner loop for a standard element-wise or + * generalized ufunc. + */ +typedef void (*PyUFuncGenericFunction) + (char **args, + npy_intp const *dimensions, + npy_intp const *strides, + void *innerloopdata); + +/* + * The most generic one-dimensional inner loop for + * a masked standard element-wise ufunc. "Masked" here means that it skips + * doing calculations on any items for which the maskptr array has a true + * value. + */ +typedef void (PyUFunc_MaskedStridedInnerLoopFunc)( + char **dataptrs, npy_intp *strides, + char *maskptr, npy_intp mask_stride, + npy_intp count, + NpyAuxData *innerloopdata); + +/* Forward declaration for the type resolver and loop selector typedefs */ +struct _tagPyUFuncObject; + +/* + * Given the operands for calling a ufunc, should determine the + * calculation input and output data types and return an inner loop function. + * This function should validate that the casting rule is being followed, + * and fail if it is not. + * + * For backwards compatibility, the regular type resolution function does not + * support auxiliary data with object semantics. The type resolution call + * which returns a masked generic function returns a standard NpyAuxData + * object, for which the NPY_AUXDATA_FREE and NPY_AUXDATA_CLONE macros + * work. + * + * ufunc: The ufunc object. + * casting: The 'casting' parameter provided to the ufunc. + * operands: An array of length (ufunc->nin + ufunc->nout), + * with the output parameters possibly NULL. + * type_tup: Either NULL, or the type_tup passed to the ufunc. + * out_dtypes: An array which should be populated with new + * references to (ufunc->nin + ufunc->nout) new + * dtypes, one for each input and output. These + * dtypes should all be in native-endian format. + * + * Should return 0 on success, -1 on failure (with exception set), + * or -2 if Py_NotImplemented should be returned. + */ +typedef int (PyUFunc_TypeResolutionFunc)( + struct _tagPyUFuncObject *ufunc, + NPY_CASTING casting, + PyArrayObject **operands, + PyObject *type_tup, + PyArray_Descr **out_dtypes); + +/* + * This is the signature for the functions that may be assigned to the + * `process_core_dims_func` field of the PyUFuncObject structure. + * Implementation of this function is optional. This function is only used + * by generalized ufuncs (i.e. those with the field `core_enabled` set to 1). + * The function is called by the ufunc during the processing of the arguments + * of a call of the ufunc. The function can check the core dimensions of the + * input and output arrays and return -1 with an exception set if any + * requirements are not satisfied. If the caller of the ufunc didn't provide + * output arrays, the core dimensions associated with the output arrays (i.e. + * those that are not also used in input arrays) will have the value -1 in + * `core_dim_sizes`. This function can replace any output core dimensions + * that are -1 with a value that is appropriate for the ufunc. + * + * Parameter Description + * --------------- ------------------------------------------------------ + * ufunc The ufunc object + * core_dim_sizes An array with length `ufunc->core_num_dim_ix`. + * The core dimensions of the arrays passed to the ufunc + * will have been set. If the caller of the ufunc didn't + * provide the output array(s), the output-only core + * dimensions will have the value -1. + * + * The function must not change any element in `core_dim_sizes` that is + * not -1 on input. Doing so will result in incorrect output from the + * ufunc, and could result in a crash of the Python interpreter. + * + * The function must return 0 on success, -1 on failure (with an exception + * set). + */ +typedef int (PyUFunc_ProcessCoreDimsFunc)( + struct _tagPyUFuncObject *ufunc, + npy_intp *core_dim_sizes); + +typedef struct _tagPyUFuncObject { + PyObject_HEAD + /* + * nin: Number of inputs + * nout: Number of outputs + * nargs: Always nin + nout (Why is it stored?) + */ + int nin, nout, nargs; + + /* + * Identity for reduction, any of PyUFunc_One, PyUFunc_Zero + * PyUFunc_MinusOne, PyUFunc_None, PyUFunc_ReorderableNone, + * PyUFunc_IdentityValue. + */ + int identity; + + /* Array of one-dimensional core loops */ + PyUFuncGenericFunction *functions; + /* Array of funcdata that gets passed into the functions */ + void *const *data; + /* The number of elements in 'functions' and 'data' */ + int ntypes; + + /* Used to be unused field 'check_return' */ + int reserved1; + + /* The name of the ufunc */ + const char *name; + + /* Array of type numbers, of size ('nargs' * 'ntypes') */ + const char *types; + + /* Documentation string */ + const char *doc; + + void *ptr; + PyObject *obj; + PyObject *userloops; + + /* generalized ufunc parameters */ + + /* 0 for scalar ufunc; 1 for generalized ufunc */ + int core_enabled; + /* number of distinct dimension names in signature */ + int core_num_dim_ix; + + /* + * dimension indices of input/output argument k are stored in + * core_dim_ixs[core_offsets[k]..core_offsets[k]+core_num_dims[k]-1] + */ + + /* numbers of core dimensions of each argument */ + int *core_num_dims; + /* + * dimension indices in a flatted form; indices + * are in the range of [0,core_num_dim_ix) + */ + int *core_dim_ixs; + /* + * positions of 1st core dimensions of each + * argument in core_dim_ixs, equivalent to cumsum(core_num_dims) + */ + int *core_offsets; + /* signature string for printing purpose */ + char *core_signature; + + /* + * A function which resolves the types and fills an array + * with the dtypes for the inputs and outputs. + */ + PyUFunc_TypeResolutionFunc *type_resolver; + + /* A dictionary to monkeypatch ufuncs */ + PyObject *dict; + + /* + * This was blocked off to be the "new" inner loop selector in 1.7, + * but this was never implemented. (This is also why the above + * selector is called the "legacy" selector.) + */ + #ifndef Py_LIMITED_API + vectorcallfunc vectorcall; + #else + void *vectorcall; + #endif + + /* Was previously the `PyUFunc_MaskedInnerLoopSelectionFunc` */ + void *reserved3; + + /* + * List of flags for each operand when ufunc is called by nditer object. + * These flags will be used in addition to the default flags for each + * operand set by nditer object. + */ + npy_uint32 *op_flags; + + /* + * List of global flags used when ufunc is called by nditer object. + * These flags will be used in addition to the default global flags + * set by nditer object. + */ + npy_uint32 iter_flags; + + /* New in NPY_API_VERSION 0x0000000D and above */ + #if NPY_FEATURE_VERSION >= NPY_1_16_API_VERSION + /* + * for each core_num_dim_ix distinct dimension names, + * the possible "frozen" size (-1 if not frozen). + */ + npy_intp *core_dim_sizes; + + /* + * for each distinct core dimension, a set of UFUNC_CORE_DIM* flags + */ + npy_uint32 *core_dim_flags; + + /* Identity for reduction, when identity == PyUFunc_IdentityValue */ + PyObject *identity_value; + #endif /* NPY_FEATURE_VERSION >= NPY_1_16_API_VERSION */ + + /* New in NPY_API_VERSION 0x0000000F and above */ + #if NPY_FEATURE_VERSION >= NPY_1_22_API_VERSION + /* New private fields related to dispatching */ + void *_dispatch_cache; + /* A PyListObject of `(tuple of DTypes, ArrayMethod/Promoter)` */ + PyObject *_loops; + #endif + #if NPY_FEATURE_VERSION >= NPY_2_1_API_VERSION + /* + * Optional function to process core dimensions of a gufunc. + */ + PyUFunc_ProcessCoreDimsFunc *process_core_dims_func; + #endif +} PyUFuncObject; + +#include "arrayobject.h" +/* Generalized ufunc; 0x0001 reserved for possible use as CORE_ENABLED */ +/* the core dimension's size will be determined by the operands. */ +#define UFUNC_CORE_DIM_SIZE_INFERRED 0x0002 +/* the core dimension may be absent */ +#define UFUNC_CORE_DIM_CAN_IGNORE 0x0004 +/* flags inferred during execution */ +#define UFUNC_CORE_DIM_MISSING 0x00040000 + + +#define UFUNC_OBJ_ISOBJECT 1 +#define UFUNC_OBJ_NEEDS_API 2 + + +#if NPY_ALLOW_THREADS +#define NPY_LOOP_BEGIN_THREADS do {if (!(loop->obj & UFUNC_OBJ_NEEDS_API)) _save = PyEval_SaveThread();} while (0); +#define NPY_LOOP_END_THREADS do {if (!(loop->obj & UFUNC_OBJ_NEEDS_API)) PyEval_RestoreThread(_save);} while (0); +#else +#define NPY_LOOP_BEGIN_THREADS +#define NPY_LOOP_END_THREADS +#endif + +/* + * UFunc has unit of 0, and the order of operations can be reordered + * This case allows reduction with multiple axes at once. + */ +#define PyUFunc_Zero 0 +/* + * UFunc has unit of 1, and the order of operations can be reordered + * This case allows reduction with multiple axes at once. + */ +#define PyUFunc_One 1 +/* + * UFunc has unit of -1, and the order of operations can be reordered + * This case allows reduction with multiple axes at once. Intended for + * bitwise_and reduction. + */ +#define PyUFunc_MinusOne 2 +/* + * UFunc has no unit, and the order of operations cannot be reordered. + * This case does not allow reduction with multiple axes at once. + */ +#define PyUFunc_None -1 +/* + * UFunc has no unit, and the order of operations can be reordered + * This case allows reduction with multiple axes at once. + */ +#define PyUFunc_ReorderableNone -2 +/* + * UFunc unit is an identity_value, and the order of operations can be reordered + * This case allows reduction with multiple axes at once. + */ +#define PyUFunc_IdentityValue -3 + + +#define UFUNC_REDUCE 0 +#define UFUNC_ACCUMULATE 1 +#define UFUNC_REDUCEAT 2 +#define UFUNC_OUTER 3 + + +typedef struct { + int nin; + int nout; + PyObject *callable; +} PyUFunc_PyFuncData; + +/* A linked-list of function information for + user-defined 1-d loops. + */ +typedef struct _loop1d_info { + PyUFuncGenericFunction func; + void *data; + int *arg_types; + struct _loop1d_info *next; + int nargs; + PyArray_Descr **arg_dtypes; +} PyUFunc_Loop1d; + + +#define UFUNC_PYVALS_NAME "UFUNC_PYVALS" + +/* + * THESE MACROS ARE DEPRECATED. + * Use npy_set_floatstatus_* in the npymath library. + */ +#define UFUNC_FPE_DIVIDEBYZERO NPY_FPE_DIVIDEBYZERO +#define UFUNC_FPE_OVERFLOW NPY_FPE_OVERFLOW +#define UFUNC_FPE_UNDERFLOW NPY_FPE_UNDERFLOW +#define UFUNC_FPE_INVALID NPY_FPE_INVALID + +#define generate_divbyzero_error() npy_set_floatstatus_divbyzero() +#define generate_overflow_error() npy_set_floatstatus_overflow() + + /* Make sure it gets defined if it isn't already */ +#ifndef UFUNC_NOFPE +/* Clear the floating point exception default of Borland C++ */ +#if defined(__BORLANDC__) +#define UFUNC_NOFPE _control87(MCW_EM, MCW_EM); +#else +#define UFUNC_NOFPE +#endif +#endif + +#include "__ufunc_api.h" + +#ifdef __cplusplus +} +#endif + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_UFUNCOBJECT_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/utils.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/utils.h new file mode 100644 index 0000000000000000000000000000000000000000..97f06092e54050baf3c2fc4372429cbd110429e8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/include/numpy/utils.h @@ -0,0 +1,37 @@ +#ifndef NUMPY_CORE_INCLUDE_NUMPY_UTILS_H_ +#define NUMPY_CORE_INCLUDE_NUMPY_UTILS_H_ + +#ifndef __COMP_NPY_UNUSED + #if defined(__GNUC__) + #define __COMP_NPY_UNUSED __attribute__ ((__unused__)) + #elif defined(__ICC) + #define __COMP_NPY_UNUSED __attribute__ ((__unused__)) + #elif defined(__clang__) + #define __COMP_NPY_UNUSED __attribute__ ((unused)) + #else + #define __COMP_NPY_UNUSED + #endif +#endif + +#if defined(__GNUC__) || defined(__ICC) || defined(__clang__) + #define NPY_DECL_ALIGNED(x) __attribute__ ((aligned (x))) +#elif defined(_MSC_VER) + #define NPY_DECL_ALIGNED(x) __declspec(align(x)) +#else + #define NPY_DECL_ALIGNED(x) +#endif + +/* Use this to tag a variable as not used. It will remove unused variable + * warning on support platforms (see __COM_NPY_UNUSED) and mangle the variable + * to avoid accidental use */ +#define NPY_UNUSED(x) __NPY_UNUSED_TAGGED ## x __COMP_NPY_UNUSED +#define NPY_EXPAND(x) x + +#define NPY_STRINGIFY(x) #x +#define NPY_TOSTRING(x) NPY_STRINGIFY(x) + +#define NPY_CAT__(a, b) a ## b +#define NPY_CAT_(a, b) NPY_CAT__(a, b) +#define NPY_CAT(a, b) NPY_CAT_(a, b) + +#endif /* NUMPY_CORE_INCLUDE_NUMPY_UTILS_H_ */ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/npy-pkg-config/mlib.ini b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/npy-pkg-config/mlib.ini new file mode 100644 index 0000000000000000000000000000000000000000..5840f5e1bc167f50ebc9fc98d60b60ee21ecbeec --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/npy-pkg-config/mlib.ini @@ -0,0 +1,12 @@ +[meta] +Name = mlib +Description = Math library used with this version of numpy +Version = 1.0 + +[default] +Libs=-lm +Cflags= + +[msvc] +Libs=m.lib +Cflags= diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/npy-pkg-config/npymath.ini b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/npy-pkg-config/npymath.ini new file mode 100644 index 0000000000000000000000000000000000000000..8d879e3fb772ef04afe28bf6670a5d233acfe710 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/npy-pkg-config/npymath.ini @@ -0,0 +1,20 @@ +[meta] +Name=npymath +Description=Portable, core math library implementing C99 standard +Version=0.1 + +[variables] +pkgname=numpy._core +prefix=${pkgdir} +libdir=${prefix}/lib +includedir=${prefix}/include + +[default] +Libs=-L${libdir} -lnpymath +Cflags=-I${includedir} +Requires=mlib + +[msvc] +Libs=/LIBPATH:${libdir} npymath.lib +Cflags=/INCLUDE:${includedir} +Requires=mlib diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/pkgconfig/numpy.pc b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/pkgconfig/numpy.pc new file mode 100644 index 0000000000000000000000000000000000000000..d41fe0ae095ce21f36fd2491e21ccc3eabf1e18f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/lib/pkgconfig/numpy.pc @@ -0,0 +1,7 @@ +prefix=${pcfiledir}/../.. +includedir=${prefix}/include + +Name: numpy +Description: NumPy is the fundamental package for scientific computing with Python. +Version: 2.2.6 +Cflags: -I${includedir} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/memmap.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/memmap.py new file mode 100644 index 0000000000000000000000000000000000000000..a5fa10c0e036fd6908810b0c20b401c22f75849b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/memmap.py @@ -0,0 +1,361 @@ +from contextlib import nullcontext +import operator +import numpy as np +from .._utils import set_module +from .numeric import uint8, ndarray, dtype + +__all__ = ['memmap'] + +dtypedescr = dtype +valid_filemodes = ["r", "c", "r+", "w+"] +writeable_filemodes = ["r+", "w+"] + +mode_equivalents = { + "readonly":"r", + "copyonwrite":"c", + "readwrite":"r+", + "write":"w+" + } + + +@set_module('numpy') +class memmap(ndarray): + """Create a memory-map to an array stored in a *binary* file on disk. + + Memory-mapped files are used for accessing small segments of large files + on disk, without reading the entire file into memory. NumPy's + memmap's are array-like objects. This differs from Python's ``mmap`` + module, which uses file-like objects. + + This subclass of ndarray has some unpleasant interactions with + some operations, because it doesn't quite fit properly as a subclass. + An alternative to using this subclass is to create the ``mmap`` + object yourself, then create an ndarray with ndarray.__new__ directly, + passing the object created in its 'buffer=' parameter. + + This class may at some point be turned into a factory function + which returns a view into an mmap buffer. + + Flush the memmap instance to write the changes to the file. Currently there + is no API to close the underlying ``mmap``. It is tricky to ensure the + resource is actually closed, since it may be shared between different + memmap instances. + + + Parameters + ---------- + filename : str, file-like object, or pathlib.Path instance + The file name or file object to be used as the array data buffer. + dtype : data-type, optional + The data-type used to interpret the file contents. + Default is `uint8`. + mode : {'r+', 'r', 'w+', 'c'}, optional + The file is opened in this mode: + + +------+-------------------------------------------------------------+ + | 'r' | Open existing file for reading only. | + +------+-------------------------------------------------------------+ + | 'r+' | Open existing file for reading and writing. | + +------+-------------------------------------------------------------+ + | 'w+' | Create or overwrite existing file for reading and writing. | + | | If ``mode == 'w+'`` then `shape` must also be specified. | + +------+-------------------------------------------------------------+ + | 'c' | Copy-on-write: assignments affect data in memory, but | + | | changes are not saved to disk. The file on disk is | + | | read-only. | + +------+-------------------------------------------------------------+ + + Default is 'r+'. + offset : int, optional + In the file, array data starts at this offset. Since `offset` is + measured in bytes, it should normally be a multiple of the byte-size + of `dtype`. When ``mode != 'r'``, even positive offsets beyond end of + file are valid; The file will be extended to accommodate the + additional data. By default, ``memmap`` will start at the beginning of + the file, even if ``filename`` is a file pointer ``fp`` and + ``fp.tell() != 0``. + shape : int or sequence of ints, optional + The desired shape of the array. If ``mode == 'r'`` and the number + of remaining bytes after `offset` is not a multiple of the byte-size + of `dtype`, you must specify `shape`. By default, the returned array + will be 1-D with the number of elements determined by file size + and data-type. + + .. versionchanged:: 2.0 + The shape parameter can now be any integer sequence type, previously + types were limited to tuple and int. + + order : {'C', 'F'}, optional + Specify the order of the ndarray memory layout: + :term:`row-major`, C-style or :term:`column-major`, + Fortran-style. This only has an effect if the shape is + greater than 1-D. The default order is 'C'. + + Attributes + ---------- + filename : str or pathlib.Path instance + Path to the mapped file. + offset : int + Offset position in the file. + mode : str + File mode. + + Methods + ------- + flush + Flush any changes in memory to file on disk. + When you delete a memmap object, flush is called first to write + changes to disk. + + + See also + -------- + lib.format.open_memmap : Create or load a memory-mapped ``.npy`` file. + + Notes + ----- + The memmap object can be used anywhere an ndarray is accepted. + Given a memmap ``fp``, ``isinstance(fp, numpy.ndarray)`` returns + ``True``. + + Memory-mapped files cannot be larger than 2GB on 32-bit systems. + + When a memmap causes a file to be created or extended beyond its + current size in the filesystem, the contents of the new part are + unspecified. On systems with POSIX filesystem semantics, the extended + part will be filled with zero bytes. + + Examples + -------- + >>> import numpy as np + >>> data = np.arange(12, dtype='float32') + >>> data.resize((3,4)) + + This example uses a temporary file so that doctest doesn't write + files to your directory. You would use a 'normal' filename. + + >>> from tempfile import mkdtemp + >>> import os.path as path + >>> filename = path.join(mkdtemp(), 'newfile.dat') + + Create a memmap with dtype and shape that matches our data: + + >>> fp = np.memmap(filename, dtype='float32', mode='w+', shape=(3,4)) + >>> fp + memmap([[0., 0., 0., 0.], + [0., 0., 0., 0.], + [0., 0., 0., 0.]], dtype=float32) + + Write data to memmap array: + + >>> fp[:] = data[:] + >>> fp + memmap([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.]], dtype=float32) + + >>> fp.filename == path.abspath(filename) + True + + Flushes memory changes to disk in order to read them back + + >>> fp.flush() + + Load the memmap and verify data was stored: + + >>> newfp = np.memmap(filename, dtype='float32', mode='r', shape=(3,4)) + >>> newfp + memmap([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.]], dtype=float32) + + Read-only memmap: + + >>> fpr = np.memmap(filename, dtype='float32', mode='r', shape=(3,4)) + >>> fpr.flags.writeable + False + + Copy-on-write memmap: + + >>> fpc = np.memmap(filename, dtype='float32', mode='c', shape=(3,4)) + >>> fpc.flags.writeable + True + + It's possible to assign to copy-on-write array, but values are only + written into the memory copy of the array, and not written to disk: + + >>> fpc + memmap([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.]], dtype=float32) + >>> fpc[0,:] = 0 + >>> fpc + memmap([[ 0., 0., 0., 0.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.]], dtype=float32) + + File on disk is unchanged: + + >>> fpr + memmap([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.]], dtype=float32) + + Offset into a memmap: + + >>> fpo = np.memmap(filename, dtype='float32', mode='r', offset=16) + >>> fpo + memmap([ 4., 5., 6., 7., 8., 9., 10., 11.], dtype=float32) + + """ + + __array_priority__ = -100.0 + + def __new__(subtype, filename, dtype=uint8, mode='r+', offset=0, + shape=None, order='C'): + # Import here to minimize 'import numpy' overhead + import mmap + import os.path + try: + mode = mode_equivalents[mode] + except KeyError as e: + if mode not in valid_filemodes: + raise ValueError( + "mode must be one of {!r} (got {!r})" + .format(valid_filemodes + list(mode_equivalents.keys()), mode) + ) from None + + if mode == 'w+' and shape is None: + raise ValueError("shape must be given if mode == 'w+'") + + if hasattr(filename, 'read'): + f_ctx = nullcontext(filename) + else: + f_ctx = open( + os.fspath(filename), + ('r' if mode == 'c' else mode)+'b' + ) + + with f_ctx as fid: + fid.seek(0, 2) + flen = fid.tell() + descr = dtypedescr(dtype) + _dbytes = descr.itemsize + + if shape is None: + bytes = flen - offset + if bytes % _dbytes: + raise ValueError("Size of available data is not a " + "multiple of the data-type size.") + size = bytes // _dbytes + shape = (size,) + else: + if type(shape) not in (tuple, list): + try: + shape = [operator.index(shape)] + except TypeError: + pass + shape = tuple(shape) + size = np.intp(1) # avoid default choice of np.int_, which might overflow + for k in shape: + size *= k + + bytes = int(offset + size*_dbytes) + + if mode in ('w+', 'r+'): + # gh-27723 + # if bytes == 0, we write out 1 byte to allow empty memmap. + bytes = max(bytes, 1) + if flen < bytes: + fid.seek(bytes - 1, 0) + fid.write(b'\0') + fid.flush() + + if mode == 'c': + acc = mmap.ACCESS_COPY + elif mode == 'r': + acc = mmap.ACCESS_READ + else: + acc = mmap.ACCESS_WRITE + + start = offset - offset % mmap.ALLOCATIONGRANULARITY + bytes -= start + # bytes == 0 is problematic as in mmap length=0 maps the full file. + # See PR gh-27723 for a more detailed explanation. + if bytes == 0 and start > 0: + bytes += mmap.ALLOCATIONGRANULARITY + start -= mmap.ALLOCATIONGRANULARITY + array_offset = offset - start + mm = mmap.mmap(fid.fileno(), bytes, access=acc, offset=start) + + self = ndarray.__new__(subtype, shape, dtype=descr, buffer=mm, + offset=array_offset, order=order) + self._mmap = mm + self.offset = offset + self.mode = mode + + if isinstance(filename, os.PathLike): + # special case - if we were constructed with a pathlib.path, + # then filename is a path object, not a string + self.filename = filename.resolve() + elif hasattr(fid, "name") and isinstance(fid.name, str): + # py3 returns int for TemporaryFile().name + self.filename = os.path.abspath(fid.name) + # same as memmap copies (e.g. memmap + 1) + else: + self.filename = None + + return self + + def __array_finalize__(self, obj): + if hasattr(obj, '_mmap') and np.may_share_memory(self, obj): + self._mmap = obj._mmap + self.filename = obj.filename + self.offset = obj.offset + self.mode = obj.mode + else: + self._mmap = None + self.filename = None + self.offset = None + self.mode = None + + def flush(self): + """ + Write any changes in the array to the file on disk. + + For further information, see `memmap`. + + Parameters + ---------- + None + + See Also + -------- + memmap + + """ + if self.base is not None and hasattr(self.base, 'flush'): + self.base.flush() + + def __array_wrap__(self, arr, context=None, return_scalar=False): + arr = super().__array_wrap__(arr, context) + + # Return a memmap if a memmap was given as the output of the + # ufunc. Leave the arr class unchanged if self is not a memmap + # to keep original memmap subclasses behavior + if self is arr or type(self) is not memmap: + return arr + + # Return scalar instead of 0d memmap, e.g. for np.sum with + # axis=None (note that subclasses will not reach here) + if return_scalar: + return arr[()] + + # Return ndarray otherwise + return arr.view(np.ndarray) + + def __getitem__(self, index): + res = super().__getitem__(index) + if type(res) is memmap and res._mmap is None: + return res.view(type=ndarray) + return res diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/memmap.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/memmap.pyi new file mode 100644 index 0000000000000000000000000000000000000000..0b31328404fb397614bd03832af9282ce251c4f4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/memmap.pyi @@ -0,0 +1,3 @@ +from numpy import memmap + +__all__ = ["memmap"] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/multiarray.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/multiarray.py new file mode 100644 index 0000000000000000000000000000000000000000..088de1073e7ecb6ded523ec82482be658f97fb2c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/multiarray.py @@ -0,0 +1,1754 @@ +""" +Create the numpy._core.multiarray namespace for backward compatibility. +In v1.16 the multiarray and umath c-extension modules were merged into +a single _multiarray_umath extension module. So we replicate the old +namespace by importing from the extension module. + +""" + +import functools +from . import overrides +from . import _multiarray_umath +from ._multiarray_umath import * # noqa: F403 +# These imports are needed for backward compatibility, +# do not change them. issue gh-15518 +# _get_ndarray_c_version is semi-public, on purpose not added to __all__ +from ._multiarray_umath import ( + _flagdict, from_dlpack, _place, _reconstruct, + _vec_string, _ARRAY_API, _monotonicity, _get_ndarray_c_version, + _get_madvise_hugepage, _set_madvise_hugepage, + ) + +__all__ = [ + '_ARRAY_API', 'ALLOW_THREADS', 'BUFSIZE', 'CLIP', 'DATETIMEUNITS', + 'ITEM_HASOBJECT', 'ITEM_IS_POINTER', 'LIST_PICKLE', 'MAXDIMS', + 'MAY_SHARE_BOUNDS', 'MAY_SHARE_EXACT', 'NEEDS_INIT', 'NEEDS_PYAPI', + 'RAISE', 'USE_GETITEM', 'USE_SETITEM', 'WRAP', + '_flagdict', 'from_dlpack', '_place', '_reconstruct', '_vec_string', + '_monotonicity', 'add_docstring', 'arange', 'array', 'asarray', + 'asanyarray', 'ascontiguousarray', 'asfortranarray', 'bincount', + 'broadcast', 'busday_count', 'busday_offset', 'busdaycalendar', 'can_cast', + 'compare_chararrays', 'concatenate', 'copyto', 'correlate', 'correlate2', + 'count_nonzero', 'c_einsum', 'datetime_as_string', 'datetime_data', + 'dot', 'dragon4_positional', 'dragon4_scientific', 'dtype', + 'empty', 'empty_like', 'error', 'flagsobj', 'flatiter', 'format_longfloat', + 'frombuffer', 'fromfile', 'fromiter', 'fromstring', + 'get_handler_name', 'get_handler_version', 'inner', 'interp', + 'interp_complex', 'is_busday', 'lexsort', 'matmul', 'vecdot', + 'may_share_memory', 'min_scalar_type', 'ndarray', 'nditer', 'nested_iters', + 'normalize_axis_index', 'packbits', 'promote_types', 'putmask', + 'ravel_multi_index', 'result_type', 'scalar', 'set_datetimeparse_function', + 'set_typeDict', 'shares_memory', 'typeinfo', + 'unpackbits', 'unravel_index', 'vdot', 'where', 'zeros'] + +# For backward compatibility, make sure pickle imports +# these functions from here +_reconstruct.__module__ = 'numpy._core.multiarray' +scalar.__module__ = 'numpy._core.multiarray' + + +from_dlpack.__module__ = 'numpy' +arange.__module__ = 'numpy' +array.__module__ = 'numpy' +asarray.__module__ = 'numpy' +asanyarray.__module__ = 'numpy' +ascontiguousarray.__module__ = 'numpy' +asfortranarray.__module__ = 'numpy' +datetime_data.__module__ = 'numpy' +empty.__module__ = 'numpy' +frombuffer.__module__ = 'numpy' +fromfile.__module__ = 'numpy' +fromiter.__module__ = 'numpy' +frompyfunc.__module__ = 'numpy' +fromstring.__module__ = 'numpy' +may_share_memory.__module__ = 'numpy' +nested_iters.__module__ = 'numpy' +promote_types.__module__ = 'numpy' +zeros.__module__ = 'numpy' +normalize_axis_index.__module__ = 'numpy.lib.array_utils' +add_docstring.__module__ = 'numpy.lib' +compare_chararrays.__module__ = 'numpy.char' + + +def _override___module__(): + namespace_names = globals() + for ufunc_name in [ + 'absolute', 'arccos', 'arccosh', 'add', 'arcsin', 'arcsinh', 'arctan', + 'arctan2', 'arctanh', 'bitwise_and', 'bitwise_count', 'invert', + 'left_shift', 'bitwise_or', 'right_shift', 'bitwise_xor', 'cbrt', + 'ceil', 'conjugate', 'copysign', 'cos', 'cosh', 'deg2rad', 'degrees', + 'divide', 'divmod', 'equal', 'exp', 'exp2', 'expm1', 'fabs', + 'float_power', 'floor', 'floor_divide', 'fmax', 'fmin', 'fmod', + 'frexp', 'gcd', 'greater', 'greater_equal', 'heaviside', 'hypot', + 'isfinite', 'isinf', 'isnan', 'isnat', 'lcm', 'ldexp', 'less', + 'less_equal', 'log', 'log10', 'log1p', 'log2', 'logaddexp', + 'logaddexp2', 'logical_and', 'logical_not', 'logical_or', + 'logical_xor', 'matmul', 'matvec', 'maximum', 'minimum', 'remainder', + 'modf', 'multiply', 'negative', 'nextafter', 'not_equal', 'positive', + 'power', 'rad2deg', 'radians', 'reciprocal', 'rint', 'sign', 'signbit', + 'sin', 'sinh', 'spacing', 'sqrt', 'square', 'subtract', 'tan', 'tanh', + 'trunc', 'vecdot', 'vecmat', + ]: + ufunc = namespace_names[ufunc_name] + ufunc.__module__ = "numpy" + ufunc.__qualname__ = ufunc_name + + +_override___module__() + + +# We can't verify dispatcher signatures because NumPy's C functions don't +# support introspection. +array_function_from_c_func_and_dispatcher = functools.partial( + overrides.array_function_from_dispatcher, + module='numpy', docs_from_dispatcher=True, verify=False) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.empty_like) +def empty_like( + prototype, dtype=None, order=None, subok=None, shape=None, *, device=None +): + """ + empty_like(prototype, dtype=None, order='K', subok=True, shape=None, *, + device=None) + + Return a new array with the same shape and type as a given array. + + Parameters + ---------- + prototype : array_like + The shape and data-type of `prototype` define these same attributes + of the returned array. + dtype : data-type, optional + Overrides the data type of the result. + order : {'C', 'F', 'A', or 'K'}, optional + Overrides the memory layout of the result. 'C' means C-order, + 'F' means F-order, 'A' means 'F' if `prototype` is Fortran + contiguous, 'C' otherwise. 'K' means match the layout of `prototype` + as closely as possible. + subok : bool, optional. + If True, then the newly created array will use the sub-class + type of `prototype`, otherwise it will be a base-class array. Defaults + to True. + shape : int or sequence of ints, optional. + Overrides the shape of the result. If order='K' and the number of + dimensions is unchanged, will try to keep order, otherwise, + order='C' is implied. + device : str, optional + The device on which to place the created array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + + Returns + ------- + out : ndarray + Array of uninitialized (arbitrary) data with the same + shape and type as `prototype`. + + See Also + -------- + ones_like : Return an array of ones with shape and type of input. + zeros_like : Return an array of zeros with shape and type of input. + full_like : Return a new array with shape of input filled with value. + empty : Return a new uninitialized array. + + Notes + ----- + Unlike other array creation functions (e.g. `zeros_like`, `ones_like`, + `full_like`), `empty_like` does not initialize the values of the array, + and may therefore be marginally faster. However, the values stored in the + newly allocated array are arbitrary. For reproducible behavior, be sure + to set each element of the array before reading. + + Examples + -------- + >>> import numpy as np + >>> a = ([1,2,3], [4,5,6]) # a is array-like + >>> np.empty_like(a) + array([[-1073741821, -1073741821, 3], # uninitialized + [ 0, 0, -1073741821]]) + >>> a = np.array([[1., 2., 3.],[4.,5.,6.]]) + >>> np.empty_like(a) + array([[ -2.00000715e+000, 1.48219694e-323, -2.00000572e+000], # uninitialized + [ 4.38791518e-305, -2.00000715e+000, 4.17269252e-309]]) + + """ # NOQA + return (prototype,) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.concatenate) +def concatenate(arrays, axis=None, out=None, *, dtype=None, casting=None): + """ + concatenate( + (a1, a2, ...), + axis=0, + out=None, + dtype=None, + casting="same_kind" + ) + + Join a sequence of arrays along an existing axis. + + Parameters + ---------- + a1, a2, ... : sequence of array_like + The arrays must have the same shape, except in the dimension + corresponding to `axis` (the first, by default). + axis : int, optional + The axis along which the arrays will be joined. If axis is None, + arrays are flattened before use. Default is 0. + out : ndarray, optional + If provided, the destination to place the result. The shape must be + correct, matching that of what concatenate would have returned if no + out argument were specified. + dtype : str or dtype + If provided, the destination array will have this dtype. Cannot be + provided together with `out`. + + .. versionadded:: 1.20.0 + + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. Defaults to 'same_kind'. + For a description of the options, please see :term:`casting`. + + .. versionadded:: 1.20.0 + + Returns + ------- + res : ndarray + The concatenated array. + + See Also + -------- + ma.concatenate : Concatenate function that preserves input masks. + array_split : Split an array into multiple sub-arrays of equal or + near-equal size. + split : Split array into a list of multiple sub-arrays of equal size. + hsplit : Split array into multiple sub-arrays horizontally (column wise). + vsplit : Split array into multiple sub-arrays vertically (row wise). + dsplit : Split array into multiple sub-arrays along the 3rd axis (depth). + stack : Stack a sequence of arrays along a new axis. + block : Assemble arrays from blocks. + hstack : Stack arrays in sequence horizontally (column wise). + vstack : Stack arrays in sequence vertically (row wise). + dstack : Stack arrays in sequence depth wise (along third dimension). + column_stack : Stack 1-D arrays as columns into a 2-D array. + + Notes + ----- + When one or more of the arrays to be concatenated is a MaskedArray, + this function will return a MaskedArray object instead of an ndarray, + but the input masks are *not* preserved. In cases where a MaskedArray + is expected as input, use the ma.concatenate function from the masked + array module instead. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[1, 2], [3, 4]]) + >>> b = np.array([[5, 6]]) + >>> np.concatenate((a, b), axis=0) + array([[1, 2], + [3, 4], + [5, 6]]) + >>> np.concatenate((a, b.T), axis=1) + array([[1, 2, 5], + [3, 4, 6]]) + >>> np.concatenate((a, b), axis=None) + array([1, 2, 3, 4, 5, 6]) + + This function will not preserve masking of MaskedArray inputs. + + >>> a = np.ma.arange(3) + >>> a[1] = np.ma.masked + >>> b = np.arange(2, 5) + >>> a + masked_array(data=[0, --, 2], + mask=[False, True, False], + fill_value=999999) + >>> b + array([2, 3, 4]) + >>> np.concatenate([a, b]) + masked_array(data=[0, 1, 2, 2, 3, 4], + mask=False, + fill_value=999999) + >>> np.ma.concatenate([a, b]) + masked_array(data=[0, --, 2, 2, 3, 4], + mask=[False, True, False, False, False, False], + fill_value=999999) + + """ + if out is not None: + # optimize for the typical case where only arrays is provided + arrays = list(arrays) + arrays.append(out) + return arrays + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.inner) +def inner(a, b): + """ + inner(a, b, /) + + Inner product of two arrays. + + Ordinary inner product of vectors for 1-D arrays (without complex + conjugation), in higher dimensions a sum product over the last axes. + + Parameters + ---------- + a, b : array_like + If `a` and `b` are nonscalar, their last dimensions must match. + + Returns + ------- + out : ndarray + If `a` and `b` are both + scalars or both 1-D arrays then a scalar is returned; otherwise + an array is returned. + ``out.shape = (*a.shape[:-1], *b.shape[:-1])`` + + Raises + ------ + ValueError + If both `a` and `b` are nonscalar and their last dimensions have + different sizes. + + See Also + -------- + tensordot : Sum products over arbitrary axes. + dot : Generalised matrix product, using second last dimension of `b`. + vecdot : Vector dot product of two arrays. + einsum : Einstein summation convention. + + Notes + ----- + For vectors (1-D arrays) it computes the ordinary inner-product:: + + np.inner(a, b) = sum(a[:]*b[:]) + + More generally, if ``ndim(a) = r > 0`` and ``ndim(b) = s > 0``:: + + np.inner(a, b) = np.tensordot(a, b, axes=(-1,-1)) + + or explicitly:: + + np.inner(a, b)[i0,...,ir-2,j0,...,js-2] + = sum(a[i0,...,ir-2,:]*b[j0,...,js-2,:]) + + In addition `a` or `b` may be scalars, in which case:: + + np.inner(a,b) = a*b + + Examples + -------- + Ordinary inner product for vectors: + + >>> import numpy as np + >>> a = np.array([1,2,3]) + >>> b = np.array([0,1,0]) + >>> np.inner(a, b) + 2 + + Some multidimensional examples: + + >>> a = np.arange(24).reshape((2,3,4)) + >>> b = np.arange(4) + >>> c = np.inner(a, b) + >>> c.shape + (2, 3) + >>> c + array([[ 14, 38, 62], + [ 86, 110, 134]]) + + >>> a = np.arange(2).reshape((1,1,2)) + >>> b = np.arange(6).reshape((3,2)) + >>> c = np.inner(a, b) + >>> c.shape + (1, 1, 3) + >>> c + array([[[1, 3, 5]]]) + + An example where `b` is a scalar: + + >>> np.inner(np.eye(2), 7) + array([[7., 0.], + [0., 7.]]) + + """ + return (a, b) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.where) +def where(condition, x=None, y=None): + """ + where(condition, [x, y], /) + + Return elements chosen from `x` or `y` depending on `condition`. + + .. note:: + When only `condition` is provided, this function is a shorthand for + ``np.asarray(condition).nonzero()``. Using `nonzero` directly should be + preferred, as it behaves correctly for subclasses. The rest of this + documentation covers only the case where all three arguments are + provided. + + Parameters + ---------- + condition : array_like, bool + Where True, yield `x`, otherwise yield `y`. + x, y : array_like + Values from which to choose. `x`, `y` and `condition` need to be + broadcastable to some shape. + + Returns + ------- + out : ndarray + An array with elements from `x` where `condition` is True, and elements + from `y` elsewhere. + + See Also + -------- + choose + nonzero : The function that is called when x and y are omitted + + Notes + ----- + If all the arrays are 1-D, `where` is equivalent to:: + + [xv if c else yv + for c, xv, yv in zip(condition, x, y)] + + Examples + -------- + >>> import numpy as np + >>> a = np.arange(10) + >>> a + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + >>> np.where(a < 5, a, 10*a) + array([ 0, 1, 2, 3, 4, 50, 60, 70, 80, 90]) + + This can be used on multidimensional arrays too: + + >>> np.where([[True, False], [True, True]], + ... [[1, 2], [3, 4]], + ... [[9, 8], [7, 6]]) + array([[1, 8], + [3, 4]]) + + The shapes of x, y, and the condition are broadcast together: + + >>> x, y = np.ogrid[:3, :4] + >>> np.where(x < y, x, 10 + y) # both x and 10+y are broadcast + array([[10, 0, 0, 0], + [10, 11, 1, 1], + [10, 11, 12, 2]]) + + >>> a = np.array([[0, 1, 2], + ... [0, 2, 4], + ... [0, 3, 6]]) + >>> np.where(a < 4, a, -1) # -1 is broadcast + array([[ 0, 1, 2], + [ 0, 2, -1], + [ 0, 3, -1]]) + """ + return (condition, x, y) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.lexsort) +def lexsort(keys, axis=None): + """ + lexsort(keys, axis=-1) + + Perform an indirect stable sort using a sequence of keys. + + Given multiple sorting keys, lexsort returns an array of integer indices + that describes the sort order by multiple keys. The last key in the + sequence is used for the primary sort order, ties are broken by the + second-to-last key, and so on. + + Parameters + ---------- + keys : (k, m, n, ...) array-like + The `k` keys to be sorted. The *last* key (e.g, the last + row if `keys` is a 2D array) is the primary sort key. + Each element of `keys` along the zeroth axis must be + an array-like object of the same shape. + axis : int, optional + Axis to be indirectly sorted. By default, sort over the last axis + of each sequence. Separate slices along `axis` sorted over + independently; see last example. + + Returns + ------- + indices : (m, n, ...) ndarray of ints + Array of indices that sort the keys along the specified axis. + + See Also + -------- + argsort : Indirect sort. + ndarray.sort : In-place sort. + sort : Return a sorted copy of an array. + + Examples + -------- + Sort names: first by surname, then by name. + + >>> import numpy as np + >>> surnames = ('Hertz', 'Galilei', 'Hertz') + >>> first_names = ('Heinrich', 'Galileo', 'Gustav') + >>> ind = np.lexsort((first_names, surnames)) + >>> ind + array([1, 2, 0]) + + >>> [surnames[i] + ", " + first_names[i] for i in ind] + ['Galilei, Galileo', 'Hertz, Gustav', 'Hertz, Heinrich'] + + Sort according to two numerical keys, first by elements + of ``a``, then breaking ties according to elements of ``b``: + + >>> a = [1, 5, 1, 4, 3, 4, 4] # First sequence + >>> b = [9, 4, 0, 4, 0, 2, 1] # Second sequence + >>> ind = np.lexsort((b, a)) # Sort by `a`, then by `b` + >>> ind + array([2, 0, 4, 6, 5, 3, 1]) + >>> [(a[i], b[i]) for i in ind] + [(1, 0), (1, 9), (3, 0), (4, 1), (4, 2), (4, 4), (5, 4)] + + Compare against `argsort`, which would sort each key independently. + + >>> np.argsort((b, a), kind='stable') + array([[2, 4, 6, 5, 1, 3, 0], + [0, 2, 4, 3, 5, 6, 1]]) + + To sort lexicographically with `argsort`, we would need to provide a + structured array. + + >>> x = np.array([(ai, bi) for ai, bi in zip(a, b)], + ... dtype = np.dtype([('x', int), ('y', int)])) + >>> np.argsort(x) # or np.argsort(x, order=('x', 'y')) + array([2, 0, 4, 6, 5, 3, 1]) + + The zeroth axis of `keys` always corresponds with the sequence of keys, + so 2D arrays are treated just like other sequences of keys. + + >>> arr = np.asarray([b, a]) + >>> ind2 = np.lexsort(arr) + >>> np.testing.assert_equal(ind2, ind) + + Accordingly, the `axis` parameter refers to an axis of *each* key, not of + the `keys` argument itself. For instance, the array ``arr`` is treated as + a sequence of two 1-D keys, so specifying ``axis=0`` is equivalent to + using the default axis, ``axis=-1``. + + >>> np.testing.assert_equal(np.lexsort(arr, axis=0), + ... np.lexsort(arr, axis=-1)) + + For higher-dimensional arrays, the axis parameter begins to matter. The + resulting array has the same shape as each key, and the values are what + we would expect if `lexsort` were performed on corresponding slices + of the keys independently. For instance, + + >>> x = [[1, 2, 3, 4], + ... [4, 3, 2, 1], + ... [2, 1, 4, 3]] + >>> y = [[2, 2, 1, 1], + ... [1, 2, 1, 2], + ... [1, 1, 2, 1]] + >>> np.lexsort((x, y), axis=1) + array([[2, 3, 0, 1], + [2, 0, 3, 1], + [1, 0, 3, 2]]) + + Each row of the result is what we would expect if we were to perform + `lexsort` on the corresponding row of the keys: + + >>> for i in range(3): + ... print(np.lexsort((x[i], y[i]))) + [2 3 0 1] + [2 0 3 1] + [1 0 3 2] + + """ + if isinstance(keys, tuple): + return keys + else: + return (keys,) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.can_cast) +def can_cast(from_, to, casting=None): + """ + can_cast(from_, to, casting='safe') + + Returns True if cast between data types can occur according to the + casting rule. + + Parameters + ---------- + from_ : dtype, dtype specifier, NumPy scalar, or array + Data type, NumPy scalar, or array to cast from. + to : dtype or dtype specifier + Data type to cast to. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. + + * 'no' means the data types should not be cast at all. + * 'equiv' means only byte-order changes are allowed. + * 'safe' means only casts which can preserve values are allowed. + * 'same_kind' means only safe casts or casts within a kind, + like float64 to float32, are allowed. + * 'unsafe' means any data conversions may be done. + + Returns + ------- + out : bool + True if cast can occur according to the casting rule. + + Notes + ----- + .. versionchanged:: 2.0 + This function does not support Python scalars anymore and does not + apply any value-based logic for 0-D arrays and NumPy scalars. + + See also + -------- + dtype, result_type + + Examples + -------- + Basic examples + + >>> import numpy as np + >>> np.can_cast(np.int32, np.int64) + True + >>> np.can_cast(np.float64, complex) + True + >>> np.can_cast(complex, float) + False + + >>> np.can_cast('i8', 'f8') + True + >>> np.can_cast('i8', 'f4') + False + >>> np.can_cast('i4', 'S4') + False + + """ + return (from_,) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.min_scalar_type) +def min_scalar_type(a): + """ + min_scalar_type(a, /) + + For scalar ``a``, returns the data type with the smallest size + and smallest scalar kind which can hold its value. For non-scalar + array ``a``, returns the vector's dtype unmodified. + + Floating point values are not demoted to integers, + and complex values are not demoted to floats. + + Parameters + ---------- + a : scalar or array_like + The value whose minimal data type is to be found. + + Returns + ------- + out : dtype + The minimal data type. + + See Also + -------- + result_type, promote_types, dtype, can_cast + + Examples + -------- + >>> import numpy as np + >>> np.min_scalar_type(10) + dtype('uint8') + + >>> np.min_scalar_type(-260) + dtype('int16') + + >>> np.min_scalar_type(3.1) + dtype('float16') + + >>> np.min_scalar_type(1e50) + dtype('float64') + + >>> np.min_scalar_type(np.arange(4,dtype='f8')) + dtype('float64') + + """ + return (a,) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.result_type) +def result_type(*arrays_and_dtypes): + """ + result_type(*arrays_and_dtypes) + + Returns the type that results from applying the NumPy + type promotion rules to the arguments. + + Type promotion in NumPy works similarly to the rules in languages + like C++, with some slight differences. When both scalars and + arrays are used, the array's type takes precedence and the actual value + of the scalar is taken into account. + + For example, calculating 3*a, where a is an array of 32-bit floats, + intuitively should result in a 32-bit float output. If the 3 is a + 32-bit integer, the NumPy rules indicate it can't convert losslessly + into a 32-bit float, so a 64-bit float should be the result type. + By examining the value of the constant, '3', we see that it fits in + an 8-bit integer, which can be cast losslessly into the 32-bit float. + + Parameters + ---------- + arrays_and_dtypes : list of arrays and dtypes + The operands of some operation whose result type is needed. + + Returns + ------- + out : dtype + The result type. + + See also + -------- + dtype, promote_types, min_scalar_type, can_cast + + Notes + ----- + The specific algorithm used is as follows. + + Categories are determined by first checking which of boolean, + integer (int/uint), or floating point (float/complex) the maximum + kind of all the arrays and the scalars are. + + If there are only scalars or the maximum category of the scalars + is higher than the maximum category of the arrays, + the data types are combined with :func:`promote_types` + to produce the return value. + + Otherwise, `min_scalar_type` is called on each scalar, and + the resulting data types are all combined with :func:`promote_types` + to produce the return value. + + The set of int values is not a subset of the uint values for types + with the same number of bits, something not reflected in + :func:`min_scalar_type`, but handled as a special case in `result_type`. + + Examples + -------- + >>> import numpy as np + >>> np.result_type(3, np.arange(7, dtype='i1')) + dtype('int8') + + >>> np.result_type('i4', 'c8') + dtype('complex128') + + >>> np.result_type(3.0, -2) + dtype('float64') + + """ + return arrays_and_dtypes + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.dot) +def dot(a, b, out=None): + """ + dot(a, b, out=None) + + Dot product of two arrays. Specifically, + + - If both `a` and `b` are 1-D arrays, it is inner product of vectors + (without complex conjugation). + + - If both `a` and `b` are 2-D arrays, it is matrix multiplication, + but using :func:`matmul` or ``a @ b`` is preferred. + + - If either `a` or `b` is 0-D (scalar), it is equivalent to + :func:`multiply` and using ``numpy.multiply(a, b)`` or ``a * b`` is + preferred. + + - If `a` is an N-D array and `b` is a 1-D array, it is a sum product over + the last axis of `a` and `b`. + + - If `a` is an N-D array and `b` is an M-D array (where ``M>=2``), it is a + sum product over the last axis of `a` and the second-to-last axis of + `b`:: + + dot(a, b)[i,j,k,m] = sum(a[i,j,:] * b[k,:,m]) + + It uses an optimized BLAS library when possible (see `numpy.linalg`). + + Parameters + ---------- + a : array_like + First argument. + b : array_like + Second argument. + out : ndarray, optional + Output argument. This must have the exact kind that would be returned + if it was not used. In particular, it must have the right type, must be + C-contiguous, and its dtype must be the dtype that would be returned + for `dot(a,b)`. This is a performance feature. Therefore, if these + conditions are not met, an exception is raised, instead of attempting + to be flexible. + + Returns + ------- + output : ndarray + Returns the dot product of `a` and `b`. If `a` and `b` are both + scalars or both 1-D arrays then a scalar is returned; otherwise + an array is returned. + If `out` is given, then it is returned. + + Raises + ------ + ValueError + If the last dimension of `a` is not the same size as + the second-to-last dimension of `b`. + + See Also + -------- + vdot : Complex-conjugating dot product. + vecdot : Vector dot product of two arrays. + tensordot : Sum products over arbitrary axes. + einsum : Einstein summation convention. + matmul : '@' operator as method with out parameter. + linalg.multi_dot : Chained dot product. + + Examples + -------- + >>> import numpy as np + >>> np.dot(3, 4) + 12 + + Neither argument is complex-conjugated: + + >>> np.dot([2j, 3j], [2j, 3j]) + (-13+0j) + + For 2-D arrays it is the matrix product: + + >>> a = [[1, 0], [0, 1]] + >>> b = [[4, 1], [2, 2]] + >>> np.dot(a, b) + array([[4, 1], + [2, 2]]) + + >>> a = np.arange(3*4*5*6).reshape((3,4,5,6)) + >>> b = np.arange(3*4*5*6)[::-1].reshape((5,4,6,3)) + >>> np.dot(a, b)[2,3,2,1,2,2] + 499128 + >>> sum(a[2,3,2,:] * b[1,2,:,2]) + 499128 + + """ + return (a, b, out) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.vdot) +def vdot(a, b): + r""" + vdot(a, b, /) + + Return the dot product of two vectors. + + The `vdot` function handles complex numbers differently than `dot`: + if the first argument is complex, it is replaced by its complex conjugate + in the dot product calculation. `vdot` also handles multidimensional + arrays differently than `dot`: it does not perform a matrix product, but + flattens the arguments to 1-D arrays before taking a vector dot product. + + Consequently, when the arguments are 2-D arrays of the same shape, this + function effectively returns their + `Frobenius inner product `_ + (also known as the *trace inner product* or the *standard inner product* + on a vector space of matrices). + + Parameters + ---------- + a : array_like + If `a` is complex the complex conjugate is taken before calculation + of the dot product. + b : array_like + Second argument to the dot product. + + Returns + ------- + output : ndarray + Dot product of `a` and `b`. Can be an int, float, or + complex depending on the types of `a` and `b`. + + See Also + -------- + dot : Return the dot product without using the complex conjugate of the + first argument. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([1+2j,3+4j]) + >>> b = np.array([5+6j,7+8j]) + >>> np.vdot(a, b) + (70-8j) + >>> np.vdot(b, a) + (70+8j) + + Note that higher-dimensional arrays are flattened! + + >>> a = np.array([[1, 4], [5, 6]]) + >>> b = np.array([[4, 1], [2, 2]]) + >>> np.vdot(a, b) + 30 + >>> np.vdot(b, a) + 30 + >>> 1*4 + 4*1 + 5*2 + 6*2 + 30 + + """ # noqa: E501 + return (a, b) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.bincount) +def bincount(x, weights=None, minlength=None): + """ + bincount(x, /, weights=None, minlength=0) + + Count number of occurrences of each value in array of non-negative ints. + + The number of bins (of size 1) is one larger than the largest value in + `x`. If `minlength` is specified, there will be at least this number + of bins in the output array (though it will be longer if necessary, + depending on the contents of `x`). + Each bin gives the number of occurrences of its index value in `x`. + If `weights` is specified the input array is weighted by it, i.e. if a + value ``n`` is found at position ``i``, ``out[n] += weight[i]`` instead + of ``out[n] += 1``. + + Parameters + ---------- + x : array_like, 1 dimension, nonnegative ints + Input array. + weights : array_like, optional + Weights, array of the same shape as `x`. + minlength : int, optional + A minimum number of bins for the output array. + + Returns + ------- + out : ndarray of ints + The result of binning the input array. + The length of `out` is equal to ``np.amax(x)+1``. + + Raises + ------ + ValueError + If the input is not 1-dimensional, or contains elements with negative + values, or if `minlength` is negative. + TypeError + If the type of the input is float or complex. + + See Also + -------- + histogram, digitize, unique + + Examples + -------- + >>> import numpy as np + >>> np.bincount(np.arange(5)) + array([1, 1, 1, 1, 1]) + >>> np.bincount(np.array([0, 1, 1, 3, 2, 1, 7])) + array([1, 3, 1, 1, 0, 0, 0, 1]) + + >>> x = np.array([0, 1, 1, 3, 2, 1, 7, 23]) + >>> np.bincount(x).size == np.amax(x)+1 + True + + The input array needs to be of integer dtype, otherwise a + TypeError is raised: + + >>> np.bincount(np.arange(5, dtype=float)) + Traceback (most recent call last): + ... + TypeError: Cannot cast array data from dtype('float64') to dtype('int64') + according to the rule 'safe' + + A possible use of ``bincount`` is to perform sums over + variable-size chunks of an array, using the ``weights`` keyword. + + >>> w = np.array([0.3, 0.5, 0.2, 0.7, 1., -0.6]) # weights + >>> x = np.array([0, 1, 1, 2, 2, 2]) + >>> np.bincount(x, weights=w) + array([ 0.3, 0.7, 1.1]) + + """ + return (x, weights) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.ravel_multi_index) +def ravel_multi_index(multi_index, dims, mode=None, order=None): + """ + ravel_multi_index(multi_index, dims, mode='raise', order='C') + + Converts a tuple of index arrays into an array of flat + indices, applying boundary modes to the multi-index. + + Parameters + ---------- + multi_index : tuple of array_like + A tuple of integer arrays, one array for each dimension. + dims : tuple of ints + The shape of array into which the indices from ``multi_index`` apply. + mode : {'raise', 'wrap', 'clip'}, optional + Specifies how out-of-bounds indices are handled. Can specify + either one mode or a tuple of modes, one mode per index. + + * 'raise' -- raise an error (default) + * 'wrap' -- wrap around + * 'clip' -- clip to the range + + In 'clip' mode, a negative index which would normally + wrap will clip to 0 instead. + order : {'C', 'F'}, optional + Determines whether the multi-index should be viewed as + indexing in row-major (C-style) or column-major + (Fortran-style) order. + + Returns + ------- + raveled_indices : ndarray + An array of indices into the flattened version of an array + of dimensions ``dims``. + + See Also + -------- + unravel_index + + Examples + -------- + >>> import numpy as np + >>> arr = np.array([[3,6,6],[4,5,1]]) + >>> np.ravel_multi_index(arr, (7,6)) + array([22, 41, 37]) + >>> np.ravel_multi_index(arr, (7,6), order='F') + array([31, 41, 13]) + >>> np.ravel_multi_index(arr, (4,6), mode='clip') + array([22, 23, 19]) + >>> np.ravel_multi_index(arr, (4,4), mode=('clip','wrap')) + array([12, 13, 13]) + + >>> np.ravel_multi_index((3,1,4,1), (6,7,8,9)) + 1621 + """ + return multi_index + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.unravel_index) +def unravel_index(indices, shape=None, order=None): + """ + unravel_index(indices, shape, order='C') + + Converts a flat index or array of flat indices into a tuple + of coordinate arrays. + + Parameters + ---------- + indices : array_like + An integer array whose elements are indices into the flattened + version of an array of dimensions ``shape``. Before version 1.6.0, + this function accepted just one index value. + shape : tuple of ints + The shape of the array to use for unraveling ``indices``. + order : {'C', 'F'}, optional + Determines whether the indices should be viewed as indexing in + row-major (C-style) or column-major (Fortran-style) order. + + Returns + ------- + unraveled_coords : tuple of ndarray + Each array in the tuple has the same shape as the ``indices`` + array. + + See Also + -------- + ravel_multi_index + + Examples + -------- + >>> import numpy as np + >>> np.unravel_index([22, 41, 37], (7,6)) + (array([3, 6, 6]), array([4, 5, 1])) + >>> np.unravel_index([31, 41, 13], (7,6), order='F') + (array([3, 6, 6]), array([4, 5, 1])) + + >>> np.unravel_index(1621, (6,7,8,9)) + (3, 1, 4, 1) + + """ + return (indices,) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.copyto) +def copyto(dst, src, casting=None, where=None): + """ + copyto(dst, src, casting='same_kind', where=True) + + Copies values from one array to another, broadcasting as necessary. + + Raises a TypeError if the `casting` rule is violated, and if + `where` is provided, it selects which elements to copy. + + Parameters + ---------- + dst : ndarray + The array into which values are copied. + src : array_like + The array from which values are copied. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur when copying. + + * 'no' means the data types should not be cast at all. + * 'equiv' means only byte-order changes are allowed. + * 'safe' means only casts which can preserve values are allowed. + * 'same_kind' means only safe casts or casts within a kind, + like float64 to float32, are allowed. + * 'unsafe' means any data conversions may be done. + where : array_like of bool, optional + A boolean array which is broadcasted to match the dimensions + of `dst`, and selects elements to copy from `src` to `dst` + wherever it contains the value True. + + Examples + -------- + >>> import numpy as np + >>> A = np.array([4, 5, 6]) + >>> B = [1, 2, 3] + >>> np.copyto(A, B) + >>> A + array([1, 2, 3]) + + >>> A = np.array([[1, 2, 3], [4, 5, 6]]) + >>> B = [[4, 5, 6], [7, 8, 9]] + >>> np.copyto(A, B) + >>> A + array([[4, 5, 6], + [7, 8, 9]]) + + """ + return (dst, src, where) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.putmask) +def putmask(a, /, mask, values): + """ + putmask(a, mask, values) + + Changes elements of an array based on conditional and input values. + + Sets ``a.flat[n] = values[n]`` for each n where ``mask.flat[n]==True``. + + If `values` is not the same size as `a` and `mask` then it will repeat. + This gives behavior different from ``a[mask] = values``. + + Parameters + ---------- + a : ndarray + Target array. + mask : array_like + Boolean mask array. It has to be the same shape as `a`. + values : array_like + Values to put into `a` where `mask` is True. If `values` is smaller + than `a` it will be repeated. + + See Also + -------- + place, put, take, copyto + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6).reshape(2, 3) + >>> np.putmask(x, x>2, x**2) + >>> x + array([[ 0, 1, 2], + [ 9, 16, 25]]) + + If `values` is smaller than `a` it is repeated: + + >>> x = np.arange(5) + >>> np.putmask(x, x>1, [-33, -44]) + >>> x + array([ 0, 1, -33, -44, -33]) + + """ + return (a, mask, values) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.packbits) +def packbits(a, axis=None, bitorder='big'): + """ + packbits(a, /, axis=None, bitorder='big') + + Packs the elements of a binary-valued array into bits in a uint8 array. + + The result is padded to full bytes by inserting zero bits at the end. + + Parameters + ---------- + a : array_like + An array of integers or booleans whose elements should be packed to + bits. + axis : int, optional + The dimension over which bit-packing is done. + ``None`` implies packing the flattened array. + bitorder : {'big', 'little'}, optional + The order of the input bits. 'big' will mimic bin(val), + ``[0, 0, 0, 0, 0, 0, 1, 1] => 3 = 0b00000011``, 'little' will + reverse the order so ``[1, 1, 0, 0, 0, 0, 0, 0] => 3``. + Defaults to 'big'. + + Returns + ------- + packed : ndarray + Array of type uint8 whose elements represent bits corresponding to the + logical (0 or nonzero) value of the input elements. The shape of + `packed` has the same number of dimensions as the input (unless `axis` + is None, in which case the output is 1-D). + + See Also + -------- + unpackbits: Unpacks elements of a uint8 array into a binary-valued output + array. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[[1,0,1], + ... [0,1,0]], + ... [[1,1,0], + ... [0,0,1]]]) + >>> b = np.packbits(a, axis=-1) + >>> b + array([[[160], + [ 64]], + [[192], + [ 32]]], dtype=uint8) + + Note that in binary 160 = 1010 0000, 64 = 0100 0000, 192 = 1100 0000, + and 32 = 0010 0000. + + """ + return (a,) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.unpackbits) +def unpackbits(a, axis=None, count=None, bitorder='big'): + """ + unpackbits(a, /, axis=None, count=None, bitorder='big') + + Unpacks elements of a uint8 array into a binary-valued output array. + + Each element of `a` represents a bit-field that should be unpacked + into a binary-valued output array. The shape of the output array is + either 1-D (if `axis` is ``None``) or the same shape as the input + array with unpacking done along the axis specified. + + Parameters + ---------- + a : ndarray, uint8 type + Input array. + axis : int, optional + The dimension over which bit-unpacking is done. + ``None`` implies unpacking the flattened array. + count : int or None, optional + The number of elements to unpack along `axis`, provided as a way + of undoing the effect of packing a size that is not a multiple + of eight. A non-negative number means to only unpack `count` + bits. A negative number means to trim off that many bits from + the end. ``None`` means to unpack the entire array (the + default). Counts larger than the available number of bits will + add zero padding to the output. Negative counts must not + exceed the available number of bits. + bitorder : {'big', 'little'}, optional + The order of the returned bits. 'big' will mimic bin(val), + ``3 = 0b00000011 => [0, 0, 0, 0, 0, 0, 1, 1]``, 'little' will reverse + the order to ``[1, 1, 0, 0, 0, 0, 0, 0]``. + Defaults to 'big'. + + Returns + ------- + unpacked : ndarray, uint8 type + The elements are binary-valued (0 or 1). + + See Also + -------- + packbits : Packs the elements of a binary-valued array into bits in + a uint8 array. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([[2], [7], [23]], dtype=np.uint8) + >>> a + array([[ 2], + [ 7], + [23]], dtype=uint8) + >>> b = np.unpackbits(a, axis=1) + >>> b + array([[0, 0, 0, 0, 0, 0, 1, 0], + [0, 0, 0, 0, 0, 1, 1, 1], + [0, 0, 0, 1, 0, 1, 1, 1]], dtype=uint8) + >>> c = np.unpackbits(a, axis=1, count=-3) + >>> c + array([[0, 0, 0, 0, 0], + [0, 0, 0, 0, 0], + [0, 0, 0, 1, 0]], dtype=uint8) + + >>> p = np.packbits(b, axis=0) + >>> np.unpackbits(p, axis=0) + array([[0, 0, 0, 0, 0, 0, 1, 0], + [0, 0, 0, 0, 0, 1, 1, 1], + [0, 0, 0, 1, 0, 1, 1, 1], + [0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0]], dtype=uint8) + >>> np.array_equal(b, np.unpackbits(p, axis=0, count=b.shape[0])) + True + + """ + return (a,) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.shares_memory) +def shares_memory(a, b, max_work=None): + """ + shares_memory(a, b, /, max_work=None) + + Determine if two arrays share memory. + + .. warning:: + + This function can be exponentially slow for some inputs, unless + `max_work` is set to zero or a positive integer. + If in doubt, use `numpy.may_share_memory` instead. + + Parameters + ---------- + a, b : ndarray + Input arrays + max_work : int, optional + Effort to spend on solving the overlap problem (maximum number + of candidate solutions to consider). The following special + values are recognized: + + max_work=-1 (default) + The problem is solved exactly. In this case, the function returns + True only if there is an element shared between the arrays. Finding + the exact solution may take extremely long in some cases. + max_work=0 + Only the memory bounds of a and b are checked. + This is equivalent to using ``may_share_memory()``. + + Raises + ------ + numpy.exceptions.TooHardError + Exceeded max_work. + + Returns + ------- + out : bool + + See Also + -------- + may_share_memory + + Examples + -------- + >>> import numpy as np + >>> x = np.array([1, 2, 3, 4]) + >>> np.shares_memory(x, np.array([5, 6, 7])) + False + >>> np.shares_memory(x[::2], x) + True + >>> np.shares_memory(x[::2], x[1::2]) + False + + Checking whether two arrays share memory is NP-complete, and + runtime may increase exponentially in the number of + dimensions. Hence, `max_work` should generally be set to a finite + number, as it is possible to construct examples that take + extremely long to run: + + >>> from numpy.lib.stride_tricks import as_strided + >>> x = np.zeros([192163377], dtype=np.int8) + >>> x1 = as_strided( + ... x, strides=(36674, 61119, 85569), shape=(1049, 1049, 1049)) + >>> x2 = as_strided( + ... x[64023025:], strides=(12223, 12224, 1), shape=(1049, 1049, 1)) + >>> np.shares_memory(x1, x2, max_work=1000) + Traceback (most recent call last): + ... + numpy.exceptions.TooHardError: Exceeded max_work + + Running ``np.shares_memory(x1, x2)`` without `max_work` set takes + around 1 minute for this case. It is possible to find problems + that take still significantly longer. + + """ + return (a, b) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.may_share_memory) +def may_share_memory(a, b, max_work=None): + """ + may_share_memory(a, b, /, max_work=None) + + Determine if two arrays might share memory + + A return of True does not necessarily mean that the two arrays + share any element. It just means that they *might*. + + Only the memory bounds of a and b are checked by default. + + Parameters + ---------- + a, b : ndarray + Input arrays + max_work : int, optional + Effort to spend on solving the overlap problem. See + `shares_memory` for details. Default for ``may_share_memory`` + is to do a bounds check. + + Returns + ------- + out : bool + + See Also + -------- + shares_memory + + Examples + -------- + >>> import numpy as np + >>> np.may_share_memory(np.array([1,2]), np.array([5,8,9])) + False + >>> x = np.zeros([3, 4]) + >>> np.may_share_memory(x[:,0], x[:,1]) + True + + """ + return (a, b) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.is_busday) +def is_busday(dates, weekmask=None, holidays=None, busdaycal=None, out=None): + """ + is_busday( + dates, + weekmask='1111100', + holidays=None, + busdaycal=None, + out=None + ) + + Calculates which of the given dates are valid days, and which are not. + + Parameters + ---------- + dates : array_like of datetime64[D] + The array of dates to process. + weekmask : str or array_like of bool, optional + A seven-element array indicating which of Monday through Sunday are + valid days. May be specified as a length-seven list or array, like + [1,1,1,1,1,0,0]; a length-seven string, like '1111100'; or a string + like "Mon Tue Wed Thu Fri", made up of 3-character abbreviations for + weekdays, optionally separated by white space. Valid abbreviations + are: Mon Tue Wed Thu Fri Sat Sun + holidays : array_like of datetime64[D], optional + An array of dates to consider as invalid dates. They may be + specified in any order, and NaT (not-a-time) dates are ignored. + This list is saved in a normalized form that is suited for + fast calculations of valid days. + busdaycal : busdaycalendar, optional + A `busdaycalendar` object which specifies the valid days. If this + parameter is provided, neither weekmask nor holidays may be + provided. + out : array of bool, optional + If provided, this array is filled with the result. + + Returns + ------- + out : array of bool + An array with the same shape as ``dates``, containing True for + each valid day, and False for each invalid day. + + See Also + -------- + busdaycalendar : An object that specifies a custom set of valid days. + busday_offset : Applies an offset counted in valid days. + busday_count : Counts how many valid days are in a half-open date range. + + Examples + -------- + >>> import numpy as np + >>> # The weekdays are Friday, Saturday, and Monday + ... np.is_busday(['2011-07-01', '2011-07-02', '2011-07-18'], + ... holidays=['2011-07-01', '2011-07-04', '2011-07-17']) + array([False, False, True]) + """ + return (dates, weekmask, holidays, out) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.busday_offset) +def busday_offset(dates, offsets, roll=None, weekmask=None, holidays=None, + busdaycal=None, out=None): + """ + busday_offset( + dates, + offsets, + roll='raise', + weekmask='1111100', + holidays=None, + busdaycal=None, + out=None + ) + + First adjusts the date to fall on a valid day according to + the ``roll`` rule, then applies offsets to the given dates + counted in valid days. + + Parameters + ---------- + dates : array_like of datetime64[D] + The array of dates to process. + offsets : array_like of int + The array of offsets, which is broadcast with ``dates``. + roll : {'raise', 'nat', 'forward', 'following', 'backward', 'preceding', \ + 'modifiedfollowing', 'modifiedpreceding'}, optional + How to treat dates that do not fall on a valid day. The default + is 'raise'. + + * 'raise' means to raise an exception for an invalid day. + * 'nat' means to return a NaT (not-a-time) for an invalid day. + * 'forward' and 'following' mean to take the first valid day + later in time. + * 'backward' and 'preceding' mean to take the first valid day + earlier in time. + * 'modifiedfollowing' means to take the first valid day + later in time unless it is across a Month boundary, in which + case to take the first valid day earlier in time. + * 'modifiedpreceding' means to take the first valid day + earlier in time unless it is across a Month boundary, in which + case to take the first valid day later in time. + weekmask : str or array_like of bool, optional + A seven-element array indicating which of Monday through Sunday are + valid days. May be specified as a length-seven list or array, like + [1,1,1,1,1,0,0]; a length-seven string, like '1111100'; or a string + like "Mon Tue Wed Thu Fri", made up of 3-character abbreviations for + weekdays, optionally separated by white space. Valid abbreviations + are: Mon Tue Wed Thu Fri Sat Sun + holidays : array_like of datetime64[D], optional + An array of dates to consider as invalid dates. They may be + specified in any order, and NaT (not-a-time) dates are ignored. + This list is saved in a normalized form that is suited for + fast calculations of valid days. + busdaycal : busdaycalendar, optional + A `busdaycalendar` object which specifies the valid days. If this + parameter is provided, neither weekmask nor holidays may be + provided. + out : array of datetime64[D], optional + If provided, this array is filled with the result. + + Returns + ------- + out : array of datetime64[D] + An array with a shape from broadcasting ``dates`` and ``offsets`` + together, containing the dates with offsets applied. + + See Also + -------- + busdaycalendar : An object that specifies a custom set of valid days. + is_busday : Returns a boolean array indicating valid days. + busday_count : Counts how many valid days are in a half-open date range. + + Examples + -------- + >>> import numpy as np + >>> # First business day in October 2011 (not accounting for holidays) + ... np.busday_offset('2011-10', 0, roll='forward') + np.datetime64('2011-10-03') + >>> # Last business day in February 2012 (not accounting for holidays) + ... np.busday_offset('2012-03', -1, roll='forward') + np.datetime64('2012-02-29') + >>> # Third Wednesday in January 2011 + ... np.busday_offset('2011-01', 2, roll='forward', weekmask='Wed') + np.datetime64('2011-01-19') + >>> # 2012 Mother's Day in Canada and the U.S. + ... np.busday_offset('2012-05', 1, roll='forward', weekmask='Sun') + np.datetime64('2012-05-13') + + >>> # First business day on or after a date + ... np.busday_offset('2011-03-20', 0, roll='forward') + np.datetime64('2011-03-21') + >>> np.busday_offset('2011-03-22', 0, roll='forward') + np.datetime64('2011-03-22') + >>> # First business day after a date + ... np.busday_offset('2011-03-20', 1, roll='backward') + np.datetime64('2011-03-21') + >>> np.busday_offset('2011-03-22', 1, roll='backward') + np.datetime64('2011-03-23') + """ + return (dates, offsets, weekmask, holidays, out) + + +@array_function_from_c_func_and_dispatcher(_multiarray_umath.busday_count) +def busday_count(begindates, enddates, weekmask=None, holidays=None, + busdaycal=None, out=None): + """ + busday_count( + begindates, + enddates, + weekmask='1111100', + holidays=[], + busdaycal=None, + out=None + ) + + Counts the number of valid days between `begindates` and + `enddates`, not including the day of `enddates`. + + If ``enddates`` specifies a date value that is earlier than the + corresponding ``begindates`` date value, the count will be negative. + + Parameters + ---------- + begindates : array_like of datetime64[D] + The array of the first dates for counting. + enddates : array_like of datetime64[D] + The array of the end dates for counting, which are excluded + from the count themselves. + weekmask : str or array_like of bool, optional + A seven-element array indicating which of Monday through Sunday are + valid days. May be specified as a length-seven list or array, like + [1,1,1,1,1,0,0]; a length-seven string, like '1111100'; or a string + like "Mon Tue Wed Thu Fri", made up of 3-character abbreviations for + weekdays, optionally separated by white space. Valid abbreviations + are: Mon Tue Wed Thu Fri Sat Sun + holidays : array_like of datetime64[D], optional + An array of dates to consider as invalid dates. They may be + specified in any order, and NaT (not-a-time) dates are ignored. + This list is saved in a normalized form that is suited for + fast calculations of valid days. + busdaycal : busdaycalendar, optional + A `busdaycalendar` object which specifies the valid days. If this + parameter is provided, neither weekmask nor holidays may be + provided. + out : array of int, optional + If provided, this array is filled with the result. + + Returns + ------- + out : array of int + An array with a shape from broadcasting ``begindates`` and ``enddates`` + together, containing the number of valid days between + the begin and end dates. + + See Also + -------- + busdaycalendar : An object that specifies a custom set of valid days. + is_busday : Returns a boolean array indicating valid days. + busday_offset : Applies an offset counted in valid days. + + Examples + -------- + >>> import numpy as np + >>> # Number of weekdays in January 2011 + ... np.busday_count('2011-01', '2011-02') + 21 + >>> # Number of weekdays in 2011 + >>> np.busday_count('2011', '2012') + 260 + >>> # Number of Saturdays in 2011 + ... np.busday_count('2011', '2012', weekmask='Sat') + 53 + """ + return (begindates, enddates, weekmask, holidays, out) + + +@array_function_from_c_func_and_dispatcher( + _multiarray_umath.datetime_as_string) +def datetime_as_string(arr, unit=None, timezone=None, casting=None): + """ + datetime_as_string(arr, unit=None, timezone='naive', casting='same_kind') + + Convert an array of datetimes into an array of strings. + + Parameters + ---------- + arr : array_like of datetime64 + The array of UTC timestamps to format. + unit : str + One of None, 'auto', or + a :ref:`datetime unit `. + timezone : {'naive', 'UTC', 'local'} or tzinfo + Timezone information to use when displaying the datetime. If 'UTC', + end with a Z to indicate UTC time. If 'local', convert to the local + timezone first, and suffix with a +-#### timezone offset. If a tzinfo + object, then do as with 'local', but use the specified timezone. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'} + Casting to allow when changing between datetime units. + + Returns + ------- + str_arr : ndarray + An array of strings the same shape as `arr`. + + Examples + -------- + >>> import numpy as np + >>> import pytz + >>> d = np.arange('2002-10-27T04:30', 4*60, 60, dtype='M8[m]') + >>> d + array(['2002-10-27T04:30', '2002-10-27T05:30', '2002-10-27T06:30', + '2002-10-27T07:30'], dtype='datetime64[m]') + + Setting the timezone to UTC shows the same information, but with a Z suffix + + >>> np.datetime_as_string(d, timezone='UTC') + array(['2002-10-27T04:30Z', '2002-10-27T05:30Z', '2002-10-27T06:30Z', + '2002-10-27T07:30Z'], dtype='>> np.datetime_as_string(d, timezone=pytz.timezone('US/Eastern')) + array(['2002-10-27T00:30-0400', '2002-10-27T01:30-0400', + '2002-10-27T01:30-0500', '2002-10-27T02:30-0500'], dtype='>> np.datetime_as_string(d, unit='h') + array(['2002-10-27T04', '2002-10-27T05', '2002-10-27T06', '2002-10-27T07'], + dtype='>> np.datetime_as_string(d, unit='s') + array(['2002-10-27T04:30:00', '2002-10-27T05:30:00', '2002-10-27T06:30:00', + '2002-10-27T07:30:00'], dtype='>> np.datetime_as_string(d, unit='h', casting='safe') + Traceback (most recent call last): + ... + TypeError: Cannot create a datetime string as units 'h' from a NumPy + datetime with units 'm' according to the rule 'safe' + """ + return (arr,) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/multiarray.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/multiarray.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ea304c0789aba1c4d44003c376e26847e6f06183 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/multiarray.pyi @@ -0,0 +1,1355 @@ +# TODO: Sort out any and all missing functions in this namespace +import datetime as dt +from _typeshed import StrOrBytesPath, SupportsLenAndGetItem +from collections.abc import Sequence, Callable, Iterable +from typing import ( + Literal as L, + Any, + TypeAlias, + overload, + TypeVar, + TypedDict, + SupportsIndex, + final, + Final, + Protocol, + ClassVar, + type_check_only, +) +from typing_extensions import CapsuleType, Unpack + +import numpy as np +from numpy import ( # type: ignore[attr-defined] + # Re-exports + busdaycalendar, + broadcast, + correlate, + count_nonzero, + dtype, + einsum as c_einsum, + flatiter, + from_dlpack, + interp, + matmul, + ndarray, + nditer, + vecdot, + + # The rest + ufunc, + str_, + uint8, + intp, + int_, + float64, + timedelta64, + datetime64, + generic, + unsignedinteger, + signedinteger, + floating, + complexfloating, + _AnyShapeType, + _OrderKACF, + _OrderCF, + _CastingKind, + _ModeKind, + _SupportsBuffer, + _SupportsFileMethods, + _CopyMode, + _NDIterFlagsKind, + _NDIterFlagsOp, +) +from numpy.lib._array_utils_impl import normalize_axis_index + +from numpy._typing import ( + # Shapes + _ShapeLike, + + # DTypes + DTypeLike, + _DTypeLike, + _SupportsDType, + + # Arrays + NDArray, + ArrayLike, + _ArrayLike, + _SupportsArrayFunc, + _NestedSequence, + _ArrayLikeBool_co, + _ArrayLikeUInt_co, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeTD64_co, + _ArrayLikeDT64_co, + _ArrayLikeObject_co, + _ArrayLikeStr_co, + _ArrayLikeBytes_co, + _ScalarLike_co, + _IntLike_co, + _FloatLike_co, + _TD64Like_co, +) +from numpy._typing._ufunc import ( + _2PTuple, + _PyFunc_Nin1_Nout1, + _PyFunc_Nin2_Nout1, + _PyFunc_Nin3P_Nout1, + _PyFunc_Nin1P_Nout2P, +) + +__all__ = [ + "_ARRAY_API", + "ALLOW_THREADS", + "BUFSIZE", + "CLIP", + "DATETIMEUNITS", + "ITEM_HASOBJECT", + "ITEM_IS_POINTER", + "LIST_PICKLE", + "MAXDIMS", + "MAY_SHARE_BOUNDS", + "MAY_SHARE_EXACT", + "NEEDS_INIT", + "NEEDS_PYAPI", + "RAISE", + "USE_GETITEM", + "USE_SETITEM", + "WRAP", + "_flagdict", + "from_dlpack", + "_place", + "_reconstruct", + "_vec_string", + "_monotonicity", + "add_docstring", + "arange", + "array", + "asarray", + "asanyarray", + "ascontiguousarray", + "asfortranarray", + "bincount", + "broadcast", + "busday_count", + "busday_offset", + "busdaycalendar", + "can_cast", + "compare_chararrays", + "concatenate", + "copyto", + "correlate", + "correlate2", + "count_nonzero", + "c_einsum", + "datetime_as_string", + "datetime_data", + "dot", + "dragon4_positional", + "dragon4_scientific", + "dtype", + "empty", + "empty_like", + "error", + "flagsobj", + "flatiter", + "format_longfloat", + "frombuffer", + "fromfile", + "fromiter", + "fromstring", + "get_handler_name", + "get_handler_version", + "inner", + "interp", + "interp_complex", + "is_busday", + "lexsort", + "matmul", + "vecdot", + "may_share_memory", + "min_scalar_type", + "ndarray", + "nditer", + "nested_iters", + "normalize_axis_index", + "packbits", + "promote_types", + "putmask", + "ravel_multi_index", + "result_type", + "scalar", + "set_datetimeparse_function", + "set_typeDict", + "shares_memory", + "typeinfo", + "unpackbits", + "unravel_index", + "vdot", + "where", + "zeros", +] + +_SCT = TypeVar("_SCT", bound=generic) +_DType = TypeVar("_DType", bound=np.dtype[Any]) +_ArrayType = TypeVar("_ArrayType", bound=ndarray[Any, Any]) +_ArrayType_co = TypeVar( + "_ArrayType_co", + bound=ndarray[Any, Any], + covariant=True, +) +_ReturnType = TypeVar("_ReturnType") +_IDType = TypeVar("_IDType") +_Nin = TypeVar("_Nin", bound=int) +_Nout = TypeVar("_Nout", bound=int) + +_ShapeT = TypeVar("_ShapeT", bound=tuple[int, ...]) +_Array: TypeAlias = ndarray[_ShapeT, dtype[_SCT]] +_Array1D: TypeAlias = ndarray[tuple[int], dtype[_SCT]] + +# Valid time units +_UnitKind: TypeAlias = L[ + "Y", + "M", + "D", + "h", + "m", + "s", + "ms", + "us", "μs", + "ns", + "ps", + "fs", + "as", +] +_RollKind: TypeAlias = L[ # `raise` is deliberately excluded + "nat", + "forward", + "following", + "backward", + "preceding", + "modifiedfollowing", + "modifiedpreceding", +] + +@type_check_only +class _SupportsArray(Protocol[_ArrayType_co]): + def __array__(self, /) -> _ArrayType_co: ... + +@type_check_only +class _KwargsEmpty(TypedDict, total=False): + device: None | L["cpu"] + like: None | _SupportsArrayFunc + +@type_check_only +class _ConstructorEmpty(Protocol): + # 1-D shape + @overload + def __call__( + self, + /, + shape: SupportsIndex, + dtype: None = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> _Array1D[float64]: ... + @overload + def __call__( + self, + /, + shape: SupportsIndex, + dtype: _DType | _SupportsDType[_DType], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> ndarray[tuple[int], _DType]: ... + @overload + def __call__( + self, + /, + shape: SupportsIndex, + dtype: type[_SCT], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> _Array1D[_SCT]: ... + @overload + def __call__( + self, + /, + shape: SupportsIndex, + dtype: DTypeLike, + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> _Array1D[Any]: ... + + # known shape + @overload + def __call__( + self, + /, + shape: _AnyShapeType, + dtype: None = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> _Array[_AnyShapeType, float64]: ... + @overload + def __call__( + self, + /, + shape: _AnyShapeType, + dtype: _DType | _SupportsDType[_DType], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> ndarray[_AnyShapeType, _DType]: ... + @overload + def __call__( + self, + /, + shape: _AnyShapeType, + dtype: type[_SCT], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> _Array[_AnyShapeType, _SCT]: ... + @overload + def __call__( + self, + /, + shape: _AnyShapeType, + dtype: DTypeLike, + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> _Array[_AnyShapeType, Any]: ... + + # unknown shape + @overload + def __call__( + self, /, + shape: _ShapeLike, + dtype: None = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> NDArray[float64]: ... + @overload + def __call__( + self, /, + shape: _ShapeLike, + dtype: _DType | _SupportsDType[_DType], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> ndarray[Any, _DType]: ... + @overload + def __call__( + self, /, + shape: _ShapeLike, + dtype: type[_SCT], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> NDArray[_SCT]: ... + @overload + def __call__( + self, /, + shape: _ShapeLike, + dtype: DTypeLike, + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], + ) -> NDArray[Any]: ... + +# using `Final` or `TypeAlias` will break stubtest +error = Exception + +# from ._multiarray_umath +ITEM_HASOBJECT: Final[L[1]] +LIST_PICKLE: Final[L[2]] +ITEM_IS_POINTER: Final[L[4]] +NEEDS_INIT: Final[L[8]] +NEEDS_PYAPI: Final[L[16]] +USE_GETITEM: Final[L[32]] +USE_SETITEM: Final[L[64]] +DATETIMEUNITS: Final[CapsuleType] +_ARRAY_API: Final[CapsuleType] +_flagdict: Final[dict[str, int]] +_monotonicity: Final[Callable[..., object]] +_place: Final[Callable[..., object]] +_reconstruct: Final[Callable[..., object]] +_vec_string: Final[Callable[..., object]] +correlate2: Final[Callable[..., object]] +dragon4_positional: Final[Callable[..., object]] +dragon4_scientific: Final[Callable[..., object]] +interp_complex: Final[Callable[..., object]] +set_datetimeparse_function: Final[Callable[..., object]] +def get_handler_name(a: NDArray[Any] = ..., /) -> str | None: ... +def get_handler_version(a: NDArray[Any] = ..., /) -> int | None: ... +def format_longfloat(x: np.longdouble, precision: int) -> str: ... +def scalar(dtype: _DType, object: bytes | object = ...) -> ndarray[tuple[()], _DType]: ... +def set_typeDict(dict_: dict[str, np.dtype[Any]], /) -> None: ... +typeinfo: Final[dict[str, np.dtype[np.generic]]] + +ALLOW_THREADS: Final[int] # 0 or 1 (system-specific) +BUFSIZE: L[8192] +CLIP: L[0] +WRAP: L[1] +RAISE: L[2] +MAXDIMS: L[32] +MAY_SHARE_BOUNDS: L[0] +MAY_SHARE_EXACT: L[-1] +tracemalloc_domain: L[389047] + +zeros: Final[_ConstructorEmpty] +empty: Final[_ConstructorEmpty] + +@overload +def empty_like( + prototype: _ArrayType, + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> _ArrayType: ... +@overload +def empty_like( + prototype: _ArrayLike[_SCT], + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def empty_like( + prototype: object, + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... +@overload +def empty_like( + prototype: Any, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def empty_like( + prototype: Any, + dtype: DTypeLike, + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... + +@overload +def array( + object: _ArrayType, + dtype: None = ..., + *, + copy: None | bool | _CopyMode = ..., + order: _OrderKACF = ..., + subok: L[True], + ndmin: int = ..., + like: None | _SupportsArrayFunc = ..., +) -> _ArrayType: ... +@overload +def array( + object: _SupportsArray[_ArrayType], + dtype: None = ..., + *, + copy: None | bool | _CopyMode = ..., + order: _OrderKACF = ..., + subok: L[True], + ndmin: L[0] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _ArrayType: ... +@overload +def array( + object: _ArrayLike[_SCT], + dtype: None = ..., + *, + copy: None | bool | _CopyMode = ..., + order: _OrderKACF = ..., + subok: bool = ..., + ndmin: int = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def array( + object: object, + dtype: None = ..., + *, + copy: None | bool | _CopyMode = ..., + order: _OrderKACF = ..., + subok: bool = ..., + ndmin: int = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... +@overload +def array( + object: Any, + dtype: _DTypeLike[_SCT], + *, + copy: None | bool | _CopyMode = ..., + order: _OrderKACF = ..., + subok: bool = ..., + ndmin: int = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def array( + object: Any, + dtype: DTypeLike, + *, + copy: None | bool | _CopyMode = ..., + order: _OrderKACF = ..., + subok: bool = ..., + ndmin: int = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def unravel_index( # type: ignore[misc] + indices: _IntLike_co, + shape: _ShapeLike, + order: _OrderCF = ..., +) -> tuple[intp, ...]: ... +@overload +def unravel_index( + indices: _ArrayLikeInt_co, + shape: _ShapeLike, + order: _OrderCF = ..., +) -> tuple[NDArray[intp], ...]: ... + +@overload +def ravel_multi_index( # type: ignore[misc] + multi_index: Sequence[_IntLike_co], + dims: Sequence[SupportsIndex], + mode: _ModeKind | tuple[_ModeKind, ...] = ..., + order: _OrderCF = ..., +) -> intp: ... +@overload +def ravel_multi_index( + multi_index: Sequence[_ArrayLikeInt_co], + dims: Sequence[SupportsIndex], + mode: _ModeKind | tuple[_ModeKind, ...] = ..., + order: _OrderCF = ..., +) -> NDArray[intp]: ... + +# NOTE: Allow any sequence of array-like objects +@overload +def concatenate( # type: ignore[misc] + arrays: _ArrayLike[_SCT], + /, + axis: None | SupportsIndex = ..., + out: None = ..., + *, + dtype: None = ..., + casting: None | _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def concatenate( # type: ignore[misc] + arrays: SupportsLenAndGetItem[ArrayLike], + /, + axis: None | SupportsIndex = ..., + out: None = ..., + *, + dtype: None = ..., + casting: None | _CastingKind = ... +) -> NDArray[Any]: ... +@overload +def concatenate( # type: ignore[misc] + arrays: SupportsLenAndGetItem[ArrayLike], + /, + axis: None | SupportsIndex = ..., + out: None = ..., + *, + dtype: _DTypeLike[_SCT], + casting: None | _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def concatenate( # type: ignore[misc] + arrays: SupportsLenAndGetItem[ArrayLike], + /, + axis: None | SupportsIndex = ..., + out: None = ..., + *, + dtype: DTypeLike, + casting: None | _CastingKind = ... +) -> NDArray[Any]: ... +@overload +def concatenate( + arrays: SupportsLenAndGetItem[ArrayLike], + /, + axis: None | SupportsIndex = ..., + out: _ArrayType = ..., + *, + dtype: DTypeLike = ..., + casting: None | _CastingKind = ... +) -> _ArrayType: ... + +def inner( + a: ArrayLike, + b: ArrayLike, + /, +) -> Any: ... + +@overload +def where( + condition: ArrayLike, + /, +) -> tuple[NDArray[intp], ...]: ... +@overload +def where( + condition: ArrayLike, + x: ArrayLike, + y: ArrayLike, + /, +) -> NDArray[Any]: ... + +def lexsort( + keys: ArrayLike, + axis: None | SupportsIndex = ..., +) -> Any: ... + +def can_cast( + from_: ArrayLike | DTypeLike, + to: DTypeLike, + casting: None | _CastingKind = ..., +) -> bool: ... + +def min_scalar_type( + a: ArrayLike, /, +) -> dtype[Any]: ... + +def result_type( + *arrays_and_dtypes: ArrayLike | DTypeLike, +) -> dtype[Any]: ... + +@overload +def dot(a: ArrayLike, b: ArrayLike, out: None = ...) -> Any: ... +@overload +def dot(a: ArrayLike, b: ArrayLike, out: _ArrayType) -> _ArrayType: ... + +@overload +def vdot(a: _ArrayLikeBool_co, b: _ArrayLikeBool_co, /) -> np.bool: ... # type: ignore[misc] +@overload +def vdot(a: _ArrayLikeUInt_co, b: _ArrayLikeUInt_co, /) -> unsignedinteger[Any]: ... # type: ignore[misc] +@overload +def vdot(a: _ArrayLikeInt_co, b: _ArrayLikeInt_co, /) -> signedinteger[Any]: ... # type: ignore[misc] +@overload +def vdot(a: _ArrayLikeFloat_co, b: _ArrayLikeFloat_co, /) -> floating[Any]: ... # type: ignore[misc] +@overload +def vdot(a: _ArrayLikeComplex_co, b: _ArrayLikeComplex_co, /) -> complexfloating[Any, Any]: ... # type: ignore[misc] +@overload +def vdot(a: _ArrayLikeTD64_co, b: _ArrayLikeTD64_co, /) -> timedelta64: ... +@overload +def vdot(a: _ArrayLikeObject_co, b: Any, /) -> Any: ... +@overload +def vdot(a: Any, b: _ArrayLikeObject_co, /) -> Any: ... + +def bincount( + x: ArrayLike, + /, + weights: None | ArrayLike = ..., + minlength: SupportsIndex = ..., +) -> NDArray[intp]: ... + +def copyto( + dst: NDArray[Any], + src: ArrayLike, + casting: None | _CastingKind = ..., + where: None | _ArrayLikeBool_co = ..., +) -> None: ... + +def putmask( + a: NDArray[Any], + /, + mask: _ArrayLikeBool_co, + values: ArrayLike, +) -> None: ... + +def packbits( + a: _ArrayLikeInt_co, + /, + axis: None | SupportsIndex = ..., + bitorder: L["big", "little"] = ..., +) -> NDArray[uint8]: ... + +def unpackbits( + a: _ArrayLike[uint8], + /, + axis: None | SupportsIndex = ..., + count: None | SupportsIndex = ..., + bitorder: L["big", "little"] = ..., +) -> NDArray[uint8]: ... + +def shares_memory( + a: object, + b: object, + /, + max_work: None | int = ..., +) -> bool: ... + +def may_share_memory( + a: object, + b: object, + /, + max_work: None | int = ..., +) -> bool: ... + +@overload +def asarray( + a: _ArrayLike[_SCT], + dtype: None = ..., + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def asarray( + a: object, + dtype: None = ..., + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... +@overload +def asarray( + a: Any, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def asarray( + a: Any, + dtype: DTypeLike, + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def asanyarray( + a: _ArrayType, # Preserve subclass-information + dtype: None = ..., + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> _ArrayType: ... +@overload +def asanyarray( + a: _ArrayLike[_SCT], + dtype: None = ..., + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def asanyarray( + a: object, + dtype: None = ..., + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... +@overload +def asanyarray( + a: Any, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def asanyarray( + a: Any, + dtype: DTypeLike, + order: _OrderKACF = ..., + *, + device: None | L["cpu"] = ..., + copy: None | bool = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def ascontiguousarray( + a: _ArrayLike[_SCT], + dtype: None = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def ascontiguousarray( + a: object, + dtype: None = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... +@overload +def ascontiguousarray( + a: Any, + dtype: _DTypeLike[_SCT], + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def ascontiguousarray( + a: Any, + dtype: DTypeLike, + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def asfortranarray( + a: _ArrayLike[_SCT], + dtype: None = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def asfortranarray( + a: object, + dtype: None = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... +@overload +def asfortranarray( + a: Any, + dtype: _DTypeLike[_SCT], + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def asfortranarray( + a: Any, + dtype: DTypeLike, + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +def promote_types(__type1: DTypeLike, __type2: DTypeLike) -> dtype[Any]: ... + +# `sep` is a de facto mandatory argument, as its default value is deprecated +@overload +def fromstring( + string: str | bytes, + dtype: None = ..., + count: SupportsIndex = ..., + *, + sep: str, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[float64]: ... +@overload +def fromstring( + string: str | bytes, + dtype: _DTypeLike[_SCT], + count: SupportsIndex = ..., + *, + sep: str, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def fromstring( + string: str | bytes, + dtype: DTypeLike, + count: SupportsIndex = ..., + *, + sep: str, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def frompyfunc( # type: ignore[overload-overlap] + func: Callable[[Any], _ReturnType], /, + nin: L[1], + nout: L[1], + *, + identity: None = ..., +) -> _PyFunc_Nin1_Nout1[_ReturnType, None]: ... +@overload +def frompyfunc( # type: ignore[overload-overlap] + func: Callable[[Any], _ReturnType], /, + nin: L[1], + nout: L[1], + *, + identity: _IDType, +) -> _PyFunc_Nin1_Nout1[_ReturnType, _IDType]: ... +@overload +def frompyfunc( # type: ignore[overload-overlap] + func: Callable[[Any, Any], _ReturnType], /, + nin: L[2], + nout: L[1], + *, + identity: None = ..., +) -> _PyFunc_Nin2_Nout1[_ReturnType, None]: ... +@overload +def frompyfunc( # type: ignore[overload-overlap] + func: Callable[[Any, Any], _ReturnType], /, + nin: L[2], + nout: L[1], + *, + identity: _IDType, +) -> _PyFunc_Nin2_Nout1[_ReturnType, _IDType]: ... +@overload +def frompyfunc( # type: ignore[overload-overlap] + func: Callable[..., _ReturnType], /, + nin: _Nin, + nout: L[1], + *, + identity: None = ..., +) -> _PyFunc_Nin3P_Nout1[_ReturnType, None, _Nin]: ... +@overload +def frompyfunc( # type: ignore[overload-overlap] + func: Callable[..., _ReturnType], /, + nin: _Nin, + nout: L[1], + *, + identity: _IDType, +) -> _PyFunc_Nin3P_Nout1[_ReturnType, _IDType, _Nin]: ... +@overload +def frompyfunc( + func: Callable[..., _2PTuple[_ReturnType]], /, + nin: _Nin, + nout: _Nout, + *, + identity: None = ..., +) -> _PyFunc_Nin1P_Nout2P[_ReturnType, None, _Nin, _Nout]: ... +@overload +def frompyfunc( + func: Callable[..., _2PTuple[_ReturnType]], /, + nin: _Nin, + nout: _Nout, + *, + identity: _IDType, +) -> _PyFunc_Nin1P_Nout2P[_ReturnType, _IDType, _Nin, _Nout]: ... +@overload +def frompyfunc( + func: Callable[..., Any], /, + nin: SupportsIndex, + nout: SupportsIndex, + *, + identity: None | object = ..., +) -> ufunc: ... + +@overload +def fromfile( + file: StrOrBytesPath | _SupportsFileMethods, + dtype: None = ..., + count: SupportsIndex = ..., + sep: str = ..., + offset: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[float64]: ... +@overload +def fromfile( + file: StrOrBytesPath | _SupportsFileMethods, + dtype: _DTypeLike[_SCT], + count: SupportsIndex = ..., + sep: str = ..., + offset: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def fromfile( + file: StrOrBytesPath | _SupportsFileMethods, + dtype: DTypeLike, + count: SupportsIndex = ..., + sep: str = ..., + offset: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def fromiter( + iter: Iterable[Any], + dtype: _DTypeLike[_SCT], + count: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def fromiter( + iter: Iterable[Any], + dtype: DTypeLike, + count: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def frombuffer( + buffer: _SupportsBuffer, + dtype: None = ..., + count: SupportsIndex = ..., + offset: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[float64]: ... +@overload +def frombuffer( + buffer: _SupportsBuffer, + dtype: _DTypeLike[_SCT], + count: SupportsIndex = ..., + offset: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def frombuffer( + buffer: _SupportsBuffer, + dtype: DTypeLike, + count: SupportsIndex = ..., + offset: SupportsIndex = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def arange( # type: ignore[misc] + stop: _IntLike_co, + /, *, + dtype: None = ..., + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[signedinteger]: ... +@overload +def arange( # type: ignore[misc] + start: _IntLike_co, + stop: _IntLike_co, + step: _IntLike_co = ..., + dtype: None = ..., + *, + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[signedinteger]: ... +@overload +def arange( # type: ignore[misc] + stop: _FloatLike_co, + /, *, + dtype: None = ..., + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[floating]: ... +@overload +def arange( # type: ignore[misc] + start: _FloatLike_co, + stop: _FloatLike_co, + step: _FloatLike_co = ..., + dtype: None = ..., + *, + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[floating]: ... +@overload +def arange( + stop: _TD64Like_co, + /, *, + dtype: None = ..., + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[timedelta64]: ... +@overload +def arange( + start: _TD64Like_co, + stop: _TD64Like_co, + step: _TD64Like_co = ..., + dtype: None = ..., + *, + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[timedelta64]: ... +@overload +def arange( # both start and stop must always be specified for datetime64 + start: datetime64, + stop: datetime64, + step: datetime64 = ..., + dtype: None = ..., + *, + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[datetime64]: ... +@overload +def arange( + stop: Any, + /, *, + dtype: _DTypeLike[_SCT], + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[_SCT]: ... +@overload +def arange( + start: Any, + stop: Any, + step: Any = ..., + dtype: _DTypeLike[_SCT] = ..., + *, + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[_SCT]: ... +@overload +def arange( + stop: Any, /, + *, + dtype: DTypeLike, + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[Any]: ... +@overload +def arange( + start: Any, + stop: Any, + step: Any = ..., + dtype: DTypeLike = ..., + *, + device: None | L["cpu"] = ..., + like: None | _SupportsArrayFunc = ..., +) -> _Array1D[Any]: ... + +def datetime_data( + dtype: str | _DTypeLike[datetime64] | _DTypeLike[timedelta64], /, +) -> tuple[str, int]: ... + +# The datetime functions perform unsafe casts to `datetime64[D]`, +# so a lot of different argument types are allowed here + +@overload +def busday_count( # type: ignore[misc] + begindates: _ScalarLike_co | dt.date, + enddates: _ScalarLike_co | dt.date, + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> int_: ... +@overload +def busday_count( # type: ignore[misc] + begindates: ArrayLike | dt.date | _NestedSequence[dt.date], + enddates: ArrayLike | dt.date | _NestedSequence[dt.date], + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> NDArray[int_]: ... +@overload +def busday_count( + begindates: ArrayLike | dt.date | _NestedSequence[dt.date], + enddates: ArrayLike | dt.date | _NestedSequence[dt.date], + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: _ArrayType = ..., +) -> _ArrayType: ... + +# `roll="raise"` is (more or less?) equivalent to `casting="safe"` +@overload +def busday_offset( # type: ignore[misc] + dates: datetime64 | dt.date, + offsets: _TD64Like_co | dt.timedelta, + roll: L["raise"] = ..., + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> datetime64: ... +@overload +def busday_offset( # type: ignore[misc] + dates: _ArrayLike[datetime64] | dt.date | _NestedSequence[dt.date], + offsets: _ArrayLikeTD64_co | dt.timedelta | _NestedSequence[dt.timedelta], + roll: L["raise"] = ..., + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> NDArray[datetime64]: ... +@overload +def busday_offset( # type: ignore[misc] + dates: _ArrayLike[datetime64] | dt.date | _NestedSequence[dt.date], + offsets: _ArrayLikeTD64_co | dt.timedelta | _NestedSequence[dt.timedelta], + roll: L["raise"] = ..., + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: _ArrayType = ..., +) -> _ArrayType: ... +@overload +def busday_offset( # type: ignore[misc] + dates: _ScalarLike_co | dt.date, + offsets: _ScalarLike_co | dt.timedelta, + roll: _RollKind, + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> datetime64: ... +@overload +def busday_offset( # type: ignore[misc] + dates: ArrayLike | dt.date | _NestedSequence[dt.date], + offsets: ArrayLike | dt.timedelta | _NestedSequence[dt.timedelta], + roll: _RollKind, + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> NDArray[datetime64]: ... +@overload +def busday_offset( + dates: ArrayLike | dt.date | _NestedSequence[dt.date], + offsets: ArrayLike | dt.timedelta | _NestedSequence[dt.timedelta], + roll: _RollKind, + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: _ArrayType = ..., +) -> _ArrayType: ... + +@overload +def is_busday( # type: ignore[misc] + dates: _ScalarLike_co | dt.date, + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> np.bool: ... +@overload +def is_busday( # type: ignore[misc] + dates: ArrayLike | _NestedSequence[dt.date], + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: None = ..., +) -> NDArray[np.bool]: ... +@overload +def is_busday( + dates: ArrayLike | _NestedSequence[dt.date], + weekmask: ArrayLike = ..., + holidays: None | ArrayLike | dt.date | _NestedSequence[dt.date] = ..., + busdaycal: None | busdaycalendar = ..., + out: _ArrayType = ..., +) -> _ArrayType: ... + +@overload +def datetime_as_string( # type: ignore[misc] + arr: datetime64 | dt.date, + unit: None | L["auto"] | _UnitKind = ..., + timezone: L["naive", "UTC", "local"] | dt.tzinfo = ..., + casting: _CastingKind = ..., +) -> str_: ... +@overload +def datetime_as_string( + arr: _ArrayLikeDT64_co | _NestedSequence[dt.date], + unit: None | L["auto"] | _UnitKind = ..., + timezone: L["naive", "UTC", "local"] | dt.tzinfo = ..., + casting: _CastingKind = ..., +) -> NDArray[str_]: ... + +@overload +def compare_chararrays( + a1: _ArrayLikeStr_co, + a2: _ArrayLikeStr_co, + cmp: L["<", "<=", "==", ">=", ">", "!="], + rstrip: bool, +) -> NDArray[np.bool]: ... +@overload +def compare_chararrays( + a1: _ArrayLikeBytes_co, + a2: _ArrayLikeBytes_co, + cmp: L["<", "<=", "==", ">=", ">", "!="], + rstrip: bool, +) -> NDArray[np.bool]: ... + +def add_docstring(obj: Callable[..., Any], docstring: str, /) -> None: ... + +_GetItemKeys: TypeAlias = L[ + "C", "CONTIGUOUS", "C_CONTIGUOUS", + "F", "FORTRAN", "F_CONTIGUOUS", + "W", "WRITEABLE", + "B", "BEHAVED", + "O", "OWNDATA", + "A", "ALIGNED", + "X", "WRITEBACKIFCOPY", + "CA", "CARRAY", + "FA", "FARRAY", + "FNC", + "FORC", +] +_SetItemKeys: TypeAlias = L[ + "A", "ALIGNED", + "W", "WRITEABLE", + "X", "WRITEBACKIFCOPY", +] + +@final +class flagsobj: + __hash__: ClassVar[None] # type: ignore[assignment] + aligned: bool + # NOTE: deprecated + # updateifcopy: bool + writeable: bool + writebackifcopy: bool + @property + def behaved(self) -> bool: ... + @property + def c_contiguous(self) -> bool: ... + @property + def carray(self) -> bool: ... + @property + def contiguous(self) -> bool: ... + @property + def f_contiguous(self) -> bool: ... + @property + def farray(self) -> bool: ... + @property + def fnc(self) -> bool: ... + @property + def forc(self) -> bool: ... + @property + def fortran(self) -> bool: ... + @property + def num(self) -> int: ... + @property + def owndata(self) -> bool: ... + def __getitem__(self, key: _GetItemKeys) -> bool: ... + def __setitem__(self, key: _SetItemKeys, value: bool) -> None: ... + +def nested_iters( + op: ArrayLike | Sequence[ArrayLike], + axes: Sequence[Sequence[SupportsIndex]], + flags: None | Sequence[_NDIterFlagsKind] = ..., + op_flags: None | Sequence[Sequence[_NDIterFlagsOp]] = ..., + op_dtypes: DTypeLike | Sequence[DTypeLike] = ..., + order: _OrderKACF = ..., + casting: _CastingKind = ..., + buffersize: SupportsIndex = ..., +) -> tuple[nditer, ...]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numeric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numeric.py new file mode 100644 index 0000000000000000000000000000000000000000..d4ca10a635dd8b226e87ecd7198e0274677010b7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numeric.py @@ -0,0 +1,2713 @@ +import functools +import itertools +import operator +import sys +import warnings +import numbers +import builtins +import math + +import numpy as np +from . import multiarray +from . import numerictypes as nt +from .multiarray import ( + ALLOW_THREADS, BUFSIZE, CLIP, MAXDIMS, MAY_SHARE_BOUNDS, MAY_SHARE_EXACT, + RAISE, WRAP, arange, array, asarray, asanyarray, ascontiguousarray, + asfortranarray, broadcast, can_cast, concatenate, copyto, dot, dtype, + empty, empty_like, flatiter, frombuffer, from_dlpack, fromfile, fromiter, + fromstring, inner, lexsort, matmul, may_share_memory, min_scalar_type, + ndarray, nditer, nested_iters, promote_types, putmask, result_type, + shares_memory, vdot, where, zeros, normalize_axis_index, vecdot +) + +from . import overrides +from . import umath +from . import shape_base +from .overrides import finalize_array_function_like, set_module +from .umath import (multiply, invert, sin, PINF, NAN) +from . import numerictypes +from ..exceptions import AxisError +from ._ufunc_config import errstate + +bitwise_not = invert +ufunc = type(sin) +newaxis = None + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +__all__ = [ + 'newaxis', 'ndarray', 'flatiter', 'nditer', 'nested_iters', 'ufunc', + 'arange', 'array', 'asarray', 'asanyarray', 'ascontiguousarray', + 'asfortranarray', 'zeros', 'count_nonzero', 'empty', 'broadcast', 'dtype', + 'fromstring', 'fromfile', 'frombuffer', 'from_dlpack', 'where', + 'argwhere', 'copyto', 'concatenate', 'lexsort', 'astype', + 'can_cast', 'promote_types', 'min_scalar_type', + 'result_type', 'isfortran', 'empty_like', 'zeros_like', 'ones_like', + 'correlate', 'convolve', 'inner', 'dot', 'outer', 'vdot', 'roll', + 'rollaxis', 'moveaxis', 'cross', 'tensordot', 'little_endian', + 'fromiter', 'array_equal', 'array_equiv', 'indices', 'fromfunction', + 'isclose', 'isscalar', 'binary_repr', 'base_repr', 'ones', + 'identity', 'allclose', 'putmask', + 'flatnonzero', 'inf', 'nan', 'False_', 'True_', 'bitwise_not', + 'full', 'full_like', 'matmul', 'vecdot', 'shares_memory', + 'may_share_memory'] + + +def _zeros_like_dispatcher( + a, dtype=None, order=None, subok=None, shape=None, *, device=None +): + return (a,) + + +@array_function_dispatch(_zeros_like_dispatcher) +def zeros_like( + a, dtype=None, order='K', subok=True, shape=None, *, device=None +): + """ + Return an array of zeros with the same shape and type as a given array. + + Parameters + ---------- + a : array_like + The shape and data-type of `a` define these same attributes of + the returned array. + dtype : data-type, optional + Overrides the data type of the result. + order : {'C', 'F', 'A', or 'K'}, optional + Overrides the memory layout of the result. 'C' means C-order, + 'F' means F-order, 'A' means 'F' if `a` is Fortran contiguous, + 'C' otherwise. 'K' means match the layout of `a` as closely + as possible. + subok : bool, optional. + If True, then the newly created array will use the sub-class + type of `a`, otherwise it will be a base-class array. Defaults + to True. + shape : int or sequence of ints, optional. + Overrides the shape of the result. If order='K' and the number of + dimensions is unchanged, will try to keep order, otherwise, + order='C' is implied. + device : str, optional + The device on which to place the created array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + + Returns + ------- + out : ndarray + Array of zeros with the same shape and type as `a`. + + See Also + -------- + empty_like : Return an empty array with shape and type of input. + ones_like : Return an array of ones with shape and type of input. + full_like : Return a new array with shape of input filled with value. + zeros : Return a new array setting values to zero. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6) + >>> x = x.reshape((2, 3)) + >>> x + array([[0, 1, 2], + [3, 4, 5]]) + >>> np.zeros_like(x) + array([[0, 0, 0], + [0, 0, 0]]) + + >>> y = np.arange(3, dtype=float) + >>> y + array([0., 1., 2.]) + >>> np.zeros_like(y) + array([0., 0., 0.]) + + """ + res = empty_like( + a, dtype=dtype, order=order, subok=subok, shape=shape, device=device + ) + # needed instead of a 0 to get same result as zeros for string dtypes + z = zeros(1, dtype=res.dtype) + multiarray.copyto(res, z, casting='unsafe') + return res + + +@finalize_array_function_like +@set_module('numpy') +def ones(shape, dtype=None, order='C', *, device=None, like=None): + """ + Return a new array of given shape and type, filled with ones. + + Parameters + ---------- + shape : int or sequence of ints + Shape of the new array, e.g., ``(2, 3)`` or ``2``. + dtype : data-type, optional + The desired data-type for the array, e.g., `numpy.int8`. Default is + `numpy.float64`. + order : {'C', 'F'}, optional, default: C + Whether to store multi-dimensional data in row-major + (C-style) or column-major (Fortran-style) order in + memory. + device : str, optional + The device on which to place the created array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Array of ones with the given shape, dtype, and order. + + See Also + -------- + ones_like : Return an array of ones with shape and type of input. + empty : Return a new uninitialized array. + zeros : Return a new array setting values to zero. + full : Return a new array of given shape filled with value. + + Examples + -------- + >>> import numpy as np + >>> np.ones(5) + array([1., 1., 1., 1., 1.]) + + >>> np.ones((5,), dtype=int) + array([1, 1, 1, 1, 1]) + + >>> np.ones((2, 1)) + array([[1.], + [1.]]) + + >>> s = (2,2) + >>> np.ones(s) + array([[1., 1.], + [1., 1.]]) + + """ + if like is not None: + return _ones_with_like( + like, shape, dtype=dtype, order=order, device=device + ) + + a = empty(shape, dtype, order, device=device) + multiarray.copyto(a, 1, casting='unsafe') + return a + + +_ones_with_like = array_function_dispatch()(ones) + + +def _ones_like_dispatcher( + a, dtype=None, order=None, subok=None, shape=None, *, device=None +): + return (a,) + + +@array_function_dispatch(_ones_like_dispatcher) +def ones_like( + a, dtype=None, order='K', subok=True, shape=None, *, device=None +): + """ + Return an array of ones with the same shape and type as a given array. + + Parameters + ---------- + a : array_like + The shape and data-type of `a` define these same attributes of + the returned array. + dtype : data-type, optional + Overrides the data type of the result. + order : {'C', 'F', 'A', or 'K'}, optional + Overrides the memory layout of the result. 'C' means C-order, + 'F' means F-order, 'A' means 'F' if `a` is Fortran contiguous, + 'C' otherwise. 'K' means match the layout of `a` as closely + as possible. + subok : bool, optional. + If True, then the newly created array will use the sub-class + type of `a`, otherwise it will be a base-class array. Defaults + to True. + shape : int or sequence of ints, optional. + Overrides the shape of the result. If order='K' and the number of + dimensions is unchanged, will try to keep order, otherwise, + order='C' is implied. + device : str, optional + The device on which to place the created array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + + Returns + ------- + out : ndarray + Array of ones with the same shape and type as `a`. + + See Also + -------- + empty_like : Return an empty array with shape and type of input. + zeros_like : Return an array of zeros with shape and type of input. + full_like : Return a new array with shape of input filled with value. + ones : Return a new array setting values to one. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6) + >>> x = x.reshape((2, 3)) + >>> x + array([[0, 1, 2], + [3, 4, 5]]) + >>> np.ones_like(x) + array([[1, 1, 1], + [1, 1, 1]]) + + >>> y = np.arange(3, dtype=float) + >>> y + array([0., 1., 2.]) + >>> np.ones_like(y) + array([1., 1., 1.]) + + """ + res = empty_like( + a, dtype=dtype, order=order, subok=subok, shape=shape, device=device + ) + multiarray.copyto(res, 1, casting='unsafe') + return res + + +def _full_dispatcher( + shape, fill_value, dtype=None, order=None, *, device=None, like=None +): + return(like,) + + +@finalize_array_function_like +@set_module('numpy') +def full(shape, fill_value, dtype=None, order='C', *, device=None, like=None): + """ + Return a new array of given shape and type, filled with `fill_value`. + + Parameters + ---------- + shape : int or sequence of ints + Shape of the new array, e.g., ``(2, 3)`` or ``2``. + fill_value : scalar or array_like + Fill value. + dtype : data-type, optional + The desired data-type for the array The default, None, means + ``np.array(fill_value).dtype``. + order : {'C', 'F'}, optional + Whether to store multidimensional data in C- or Fortran-contiguous + (row- or column-wise) order in memory. + device : str, optional + The device on which to place the created array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Array of `fill_value` with the given shape, dtype, and order. + + See Also + -------- + full_like : Return a new array with shape of input filled with value. + empty : Return a new uninitialized array. + ones : Return a new array setting values to one. + zeros : Return a new array setting values to zero. + + Examples + -------- + >>> import numpy as np + >>> np.full((2, 2), np.inf) + array([[inf, inf], + [inf, inf]]) + >>> np.full((2, 2), 10) + array([[10, 10], + [10, 10]]) + + >>> np.full((2, 2), [1, 2]) + array([[1, 2], + [1, 2]]) + + """ + if like is not None: + return _full_with_like( + like, shape, fill_value, dtype=dtype, order=order, device=device + ) + + if dtype is None: + fill_value = asarray(fill_value) + dtype = fill_value.dtype + a = empty(shape, dtype, order, device=device) + multiarray.copyto(a, fill_value, casting='unsafe') + return a + + +_full_with_like = array_function_dispatch()(full) + + +def _full_like_dispatcher( + a, fill_value, dtype=None, order=None, subok=None, shape=None, + *, device=None +): + return (a,) + + +@array_function_dispatch(_full_like_dispatcher) +def full_like( + a, fill_value, dtype=None, order='K', subok=True, shape=None, + *, device=None +): + """ + Return a full array with the same shape and type as a given array. + + Parameters + ---------- + a : array_like + The shape and data-type of `a` define these same attributes of + the returned array. + fill_value : array_like + Fill value. + dtype : data-type, optional + Overrides the data type of the result. + order : {'C', 'F', 'A', or 'K'}, optional + Overrides the memory layout of the result. 'C' means C-order, + 'F' means F-order, 'A' means 'F' if `a` is Fortran contiguous, + 'C' otherwise. 'K' means match the layout of `a` as closely + as possible. + subok : bool, optional. + If True, then the newly created array will use the sub-class + type of `a`, otherwise it will be a base-class array. Defaults + to True. + shape : int or sequence of ints, optional. + Overrides the shape of the result. If order='K' and the number of + dimensions is unchanged, will try to keep order, otherwise, + order='C' is implied. + device : str, optional + The device on which to place the created array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.0.0 + + Returns + ------- + out : ndarray + Array of `fill_value` with the same shape and type as `a`. + + See Also + -------- + empty_like : Return an empty array with shape and type of input. + ones_like : Return an array of ones with shape and type of input. + zeros_like : Return an array of zeros with shape and type of input. + full : Return a new array of given shape filled with value. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6, dtype=int) + >>> np.full_like(x, 1) + array([1, 1, 1, 1, 1, 1]) + >>> np.full_like(x, 0.1) + array([0, 0, 0, 0, 0, 0]) + >>> np.full_like(x, 0.1, dtype=np.double) + array([0.1, 0.1, 0.1, 0.1, 0.1, 0.1]) + >>> np.full_like(x, np.nan, dtype=np.double) + array([nan, nan, nan, nan, nan, nan]) + + >>> y = np.arange(6, dtype=np.double) + >>> np.full_like(y, 0.1) + array([0.1, 0.1, 0.1, 0.1, 0.1, 0.1]) + + >>> y = np.zeros([2, 2, 3], dtype=int) + >>> np.full_like(y, [0, 0, 255]) + array([[[ 0, 0, 255], + [ 0, 0, 255]], + [[ 0, 0, 255], + [ 0, 0, 255]]]) + """ + res = empty_like( + a, dtype=dtype, order=order, subok=subok, shape=shape, device=device + ) + multiarray.copyto(res, fill_value, casting='unsafe') + return res + + +def _count_nonzero_dispatcher(a, axis=None, *, keepdims=None): + return (a,) + + +@array_function_dispatch(_count_nonzero_dispatcher) +def count_nonzero(a, axis=None, *, keepdims=False): + """ + Counts the number of non-zero values in the array ``a``. + + The word "non-zero" is in reference to the Python 2.x + built-in method ``__nonzero__()`` (renamed ``__bool__()`` + in Python 3.x) of Python objects that tests an object's + "truthfulness". For example, any number is considered + truthful if it is nonzero, whereas any string is considered + truthful if it is not the empty string. Thus, this function + (recursively) counts how many elements in ``a`` (and in + sub-arrays thereof) have their ``__nonzero__()`` or ``__bool__()`` + method evaluated to ``True``. + + Parameters + ---------- + a : array_like + The array for which to count non-zeros. + axis : int or tuple, optional + Axis or tuple of axes along which to count non-zeros. + Default is None, meaning that non-zeros will be counted + along a flattened version of ``a``. + keepdims : bool, optional + If this is set to True, the axes that are counted are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + Returns + ------- + count : int or array of int + Number of non-zero values in the array along a given axis. + Otherwise, the total number of non-zero values in the array + is returned. + + See Also + -------- + nonzero : Return the coordinates of all the non-zero values. + + Examples + -------- + >>> import numpy as np + >>> np.count_nonzero(np.eye(4)) + 4 + >>> a = np.array([[0, 1, 7, 0], + ... [3, 0, 2, 19]]) + >>> np.count_nonzero(a) + 5 + >>> np.count_nonzero(a, axis=0) + array([1, 1, 2, 1]) + >>> np.count_nonzero(a, axis=1) + array([2, 3]) + >>> np.count_nonzero(a, axis=1, keepdims=True) + array([[2], + [3]]) + """ + if axis is None and not keepdims: + return multiarray.count_nonzero(a) + + a = asanyarray(a) + + # TODO: this works around .astype(bool) not working properly (gh-9847) + if np.issubdtype(a.dtype, np.character): + a_bool = a != a.dtype.type() + else: + a_bool = a.astype(np.bool, copy=False) + + return a_bool.sum(axis=axis, dtype=np.intp, keepdims=keepdims) + + +@set_module('numpy') +def isfortran(a): + """ + Check if the array is Fortran contiguous but *not* C contiguous. + + This function is obsolete. If you only want to check if an array is Fortran + contiguous use ``a.flags.f_contiguous`` instead. + + Parameters + ---------- + a : ndarray + Input array. + + Returns + ------- + isfortran : bool + Returns True if the array is Fortran contiguous but *not* C contiguous. + + + Examples + -------- + + np.array allows to specify whether the array is written in C-contiguous + order (last index varies the fastest), or FORTRAN-contiguous order in + memory (first index varies the fastest). + + >>> import numpy as np + >>> a = np.array([[1, 2, 3], [4, 5, 6]], order='C') + >>> a + array([[1, 2, 3], + [4, 5, 6]]) + >>> np.isfortran(a) + False + + >>> b = np.array([[1, 2, 3], [4, 5, 6]], order='F') + >>> b + array([[1, 2, 3], + [4, 5, 6]]) + >>> np.isfortran(b) + True + + + The transpose of a C-ordered array is a FORTRAN-ordered array. + + >>> a = np.array([[1, 2, 3], [4, 5, 6]], order='C') + >>> a + array([[1, 2, 3], + [4, 5, 6]]) + >>> np.isfortran(a) + False + >>> b = a.T + >>> b + array([[1, 4], + [2, 5], + [3, 6]]) + >>> np.isfortran(b) + True + + C-ordered arrays evaluate as False even if they are also FORTRAN-ordered. + + >>> np.isfortran(np.array([1, 2], order='F')) + False + + """ + return a.flags.fnc + + +def _argwhere_dispatcher(a): + return (a,) + + +@array_function_dispatch(_argwhere_dispatcher) +def argwhere(a): + """ + Find the indices of array elements that are non-zero, grouped by element. + + Parameters + ---------- + a : array_like + Input data. + + Returns + ------- + index_array : (N, a.ndim) ndarray + Indices of elements that are non-zero. Indices are grouped by element. + This array will have shape ``(N, a.ndim)`` where ``N`` is the number of + non-zero items. + + See Also + -------- + where, nonzero + + Notes + ----- + ``np.argwhere(a)`` is almost the same as ``np.transpose(np.nonzero(a))``, + but produces a result of the correct shape for a 0D array. + + The output of ``argwhere`` is not suitable for indexing arrays. + For this purpose use ``nonzero(a)`` instead. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(6).reshape(2,3) + >>> x + array([[0, 1, 2], + [3, 4, 5]]) + >>> np.argwhere(x>1) + array([[0, 2], + [1, 0], + [1, 1], + [1, 2]]) + + """ + # nonzero does not behave well on 0d, so promote to 1d + if np.ndim(a) == 0: + a = shape_base.atleast_1d(a) + # then remove the added dimension + return argwhere(a)[:, :0] + return transpose(nonzero(a)) + + +def _flatnonzero_dispatcher(a): + return (a,) + + +@array_function_dispatch(_flatnonzero_dispatcher) +def flatnonzero(a): + """ + Return indices that are non-zero in the flattened version of a. + + This is equivalent to ``np.nonzero(np.ravel(a))[0]``. + + Parameters + ---------- + a : array_like + Input data. + + Returns + ------- + res : ndarray + Output array, containing the indices of the elements of ``a.ravel()`` + that are non-zero. + + See Also + -------- + nonzero : Return the indices of the non-zero elements of the input array. + ravel : Return a 1-D array containing the elements of the input array. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(-2, 3) + >>> x + array([-2, -1, 0, 1, 2]) + >>> np.flatnonzero(x) + array([0, 1, 3, 4]) + + Use the indices of the non-zero elements as an index array to extract + these elements: + + >>> x.ravel()[np.flatnonzero(x)] + array([-2, -1, 1, 2]) + + """ + return np.nonzero(np.ravel(a))[0] + + +def _correlate_dispatcher(a, v, mode=None): + return (a, v) + + +@array_function_dispatch(_correlate_dispatcher) +def correlate(a, v, mode='valid'): + r""" + Cross-correlation of two 1-dimensional sequences. + + This function computes the correlation as generally defined in signal + processing texts [1]_: + + .. math:: c_k = \sum_n a_{n+k} \cdot \overline{v}_n + + with a and v sequences being zero-padded where necessary and + :math:`\overline v` denoting complex conjugation. + + Parameters + ---------- + a, v : array_like + Input sequences. + mode : {'valid', 'same', 'full'}, optional + Refer to the `convolve` docstring. Note that the default + is 'valid', unlike `convolve`, which uses 'full'. + + Returns + ------- + out : ndarray + Discrete cross-correlation of `a` and `v`. + + See Also + -------- + convolve : Discrete, linear convolution of two one-dimensional sequences. + scipy.signal.correlate : uses FFT which has superior performance + on large arrays. + + Notes + ----- + The definition of correlation above is not unique and sometimes + correlation may be defined differently. Another common definition is [1]_: + + .. math:: c'_k = \sum_n a_{n} \cdot \overline{v_{n+k}} + + which is related to :math:`c_k` by :math:`c'_k = c_{-k}`. + + `numpy.correlate` may perform slowly in large arrays (i.e. n = 1e5) + because it does not use the FFT to compute the convolution; in that case, + `scipy.signal.correlate` might be preferable. + + References + ---------- + .. [1] Wikipedia, "Cross-correlation", + https://en.wikipedia.org/wiki/Cross-correlation + + Examples + -------- + >>> import numpy as np + >>> np.correlate([1, 2, 3], [0, 1, 0.5]) + array([3.5]) + >>> np.correlate([1, 2, 3], [0, 1, 0.5], "same") + array([2. , 3.5, 3. ]) + >>> np.correlate([1, 2, 3], [0, 1, 0.5], "full") + array([0.5, 2. , 3.5, 3. , 0. ]) + + Using complex sequences: + + >>> np.correlate([1+1j, 2, 3-1j], [0, 1, 0.5j], 'full') + array([ 0.5-0.5j, 1.0+0.j , 1.5-1.5j, 3.0-1.j , 0.0+0.j ]) + + Note that you get the time reversed, complex conjugated result + (:math:`\overline{c_{-k}}`) when the two input sequences a and v change + places: + + >>> np.correlate([0, 1, 0.5j], [1+1j, 2, 3-1j], 'full') + array([ 0.0+0.j , 3.0+1.j , 1.5+1.5j, 1.0+0.j , 0.5+0.5j]) + + """ + return multiarray.correlate2(a, v, mode) + + +def _convolve_dispatcher(a, v, mode=None): + return (a, v) + + +@array_function_dispatch(_convolve_dispatcher) +def convolve(a, v, mode='full'): + """ + Returns the discrete, linear convolution of two one-dimensional sequences. + + The convolution operator is often seen in signal processing, where it + models the effect of a linear time-invariant system on a signal [1]_. In + probability theory, the sum of two independent random variables is + distributed according to the convolution of their individual + distributions. + + If `v` is longer than `a`, the arrays are swapped before computation. + + Parameters + ---------- + a : (N,) array_like + First one-dimensional input array. + v : (M,) array_like + Second one-dimensional input array. + mode : {'full', 'valid', 'same'}, optional + 'full': + By default, mode is 'full'. This returns the convolution + at each point of overlap, with an output shape of (N+M-1,). At + the end-points of the convolution, the signals do not overlap + completely, and boundary effects may be seen. + + 'same': + Mode 'same' returns output of length ``max(M, N)``. Boundary + effects are still visible. + + 'valid': + Mode 'valid' returns output of length + ``max(M, N) - min(M, N) + 1``. The convolution product is only given + for points where the signals overlap completely. Values outside + the signal boundary have no effect. + + Returns + ------- + out : ndarray + Discrete, linear convolution of `a` and `v`. + + See Also + -------- + scipy.signal.fftconvolve : Convolve two arrays using the Fast Fourier + Transform. + scipy.linalg.toeplitz : Used to construct the convolution operator. + polymul : Polynomial multiplication. Same output as convolve, but also + accepts poly1d objects as input. + + Notes + ----- + The discrete convolution operation is defined as + + .. math:: (a * v)_n = \\sum_{m = -\\infty}^{\\infty} a_m v_{n - m} + + It can be shown that a convolution :math:`x(t) * y(t)` in time/space + is equivalent to the multiplication :math:`X(f) Y(f)` in the Fourier + domain, after appropriate padding (padding is necessary to prevent + circular convolution). Since multiplication is more efficient (faster) + than convolution, the function `scipy.signal.fftconvolve` exploits the + FFT to calculate the convolution of large data-sets. + + References + ---------- + .. [1] Wikipedia, "Convolution", + https://en.wikipedia.org/wiki/Convolution + + Examples + -------- + Note how the convolution operator flips the second array + before "sliding" the two across one another: + + >>> import numpy as np + >>> np.convolve([1, 2, 3], [0, 1, 0.5]) + array([0. , 1. , 2.5, 4. , 1.5]) + + Only return the middle values of the convolution. + Contains boundary effects, where zeros are taken + into account: + + >>> np.convolve([1,2,3],[0,1,0.5], 'same') + array([1. , 2.5, 4. ]) + + The two arrays are of the same length, so there + is only one position where they completely overlap: + + >>> np.convolve([1,2,3],[0,1,0.5], 'valid') + array([2.5]) + + """ + a, v = array(a, copy=None, ndmin=1), array(v, copy=None, ndmin=1) + if (len(v) > len(a)): + a, v = v, a + if len(a) == 0: + raise ValueError('a cannot be empty') + if len(v) == 0: + raise ValueError('v cannot be empty') + return multiarray.correlate(a, v[::-1], mode) + + +def _outer_dispatcher(a, b, out=None): + return (a, b, out) + + +@array_function_dispatch(_outer_dispatcher) +def outer(a, b, out=None): + """ + Compute the outer product of two vectors. + + Given two vectors `a` and `b` of length ``M`` and ``N``, respectively, + the outer product [1]_ is:: + + [[a_0*b_0 a_0*b_1 ... a_0*b_{N-1} ] + [a_1*b_0 . + [ ... . + [a_{M-1}*b_0 a_{M-1}*b_{N-1} ]] + + Parameters + ---------- + a : (M,) array_like + First input vector. Input is flattened if + not already 1-dimensional. + b : (N,) array_like + Second input vector. Input is flattened if + not already 1-dimensional. + out : (M, N) ndarray, optional + A location where the result is stored + + Returns + ------- + out : (M, N) ndarray + ``out[i, j] = a[i] * b[j]`` + + See also + -------- + inner + einsum : ``einsum('i,j->ij', a.ravel(), b.ravel())`` is the equivalent. + ufunc.outer : A generalization to dimensions other than 1D and other + operations. ``np.multiply.outer(a.ravel(), b.ravel())`` + is the equivalent. + linalg.outer : An Array API compatible variation of ``np.outer``, + which accepts 1-dimensional inputs only. + tensordot : ``np.tensordot(a.ravel(), b.ravel(), axes=((), ()))`` + is the equivalent. + + References + ---------- + .. [1] G. H. Golub and C. F. Van Loan, *Matrix Computations*, 3rd + ed., Baltimore, MD, Johns Hopkins University Press, 1996, + pg. 8. + + Examples + -------- + Make a (*very* coarse) grid for computing a Mandelbrot set: + + >>> import numpy as np + >>> rl = np.outer(np.ones((5,)), np.linspace(-2, 2, 5)) + >>> rl + array([[-2., -1., 0., 1., 2.], + [-2., -1., 0., 1., 2.], + [-2., -1., 0., 1., 2.], + [-2., -1., 0., 1., 2.], + [-2., -1., 0., 1., 2.]]) + >>> im = np.outer(1j*np.linspace(2, -2, 5), np.ones((5,))) + >>> im + array([[0.+2.j, 0.+2.j, 0.+2.j, 0.+2.j, 0.+2.j], + [0.+1.j, 0.+1.j, 0.+1.j, 0.+1.j, 0.+1.j], + [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j], + [0.-1.j, 0.-1.j, 0.-1.j, 0.-1.j, 0.-1.j], + [0.-2.j, 0.-2.j, 0.-2.j, 0.-2.j, 0.-2.j]]) + >>> grid = rl + im + >>> grid + array([[-2.+2.j, -1.+2.j, 0.+2.j, 1.+2.j, 2.+2.j], + [-2.+1.j, -1.+1.j, 0.+1.j, 1.+1.j, 2.+1.j], + [-2.+0.j, -1.+0.j, 0.+0.j, 1.+0.j, 2.+0.j], + [-2.-1.j, -1.-1.j, 0.-1.j, 1.-1.j, 2.-1.j], + [-2.-2.j, -1.-2.j, 0.-2.j, 1.-2.j, 2.-2.j]]) + + An example using a "vector" of letters: + + >>> x = np.array(['a', 'b', 'c'], dtype=object) + >>> np.outer(x, [1, 2, 3]) + array([['a', 'aa', 'aaa'], + ['b', 'bb', 'bbb'], + ['c', 'cc', 'ccc']], dtype=object) + + """ + a = asarray(a) + b = asarray(b) + return multiply(a.ravel()[:, newaxis], b.ravel()[newaxis, :], out) + + +def _tensordot_dispatcher(a, b, axes=None): + return (a, b) + + +@array_function_dispatch(_tensordot_dispatcher) +def tensordot(a, b, axes=2): + """ + Compute tensor dot product along specified axes. + + Given two tensors, `a` and `b`, and an array_like object containing + two array_like objects, ``(a_axes, b_axes)``, sum the products of + `a`'s and `b`'s elements (components) over the axes specified by + ``a_axes`` and ``b_axes``. The third argument can be a single non-negative + integer_like scalar, ``N``; if it is such, then the last ``N`` dimensions + of `a` and the first ``N`` dimensions of `b` are summed over. + + Parameters + ---------- + a, b : array_like + Tensors to "dot". + + axes : int or (2,) array_like + * integer_like + If an int N, sum over the last N axes of `a` and the first N axes + of `b` in order. The sizes of the corresponding axes must match. + * (2,) array_like + Or, a list of axes to be summed over, first sequence applying to `a`, + second to `b`. Both elements array_like must be of the same length. + + Returns + ------- + output : ndarray + The tensor dot product of the input. + + See Also + -------- + dot, einsum + + Notes + ----- + Three common use cases are: + * ``axes = 0`` : tensor product :math:`a\\otimes b` + * ``axes = 1`` : tensor dot product :math:`a\\cdot b` + * ``axes = 2`` : (default) tensor double contraction :math:`a:b` + + When `axes` is integer_like, the sequence of axes for evaluation + will be: from the -Nth axis to the -1th axis in `a`, + and from the 0th axis to (N-1)th axis in `b`. + For example, ``axes = 2`` is the equal to + ``axes = [[-2, -1], [0, 1]]``. + When N-1 is smaller than 0, or when -N is larger than -1, + the element of `a` and `b` are defined as the `axes`. + + When there is more than one axis to sum over - and they are not the last + (first) axes of `a` (`b`) - the argument `axes` should consist of + two sequences of the same length, with the first axis to sum over given + first in both sequences, the second axis second, and so forth. + The calculation can be referred to ``numpy.einsum``. + + The shape of the result consists of the non-contracted axes of the + first tensor, followed by the non-contracted axes of the second. + + Examples + -------- + An example on integer_like: + + >>> a_0 = np.array([[1, 2], [3, 4]]) + >>> b_0 = np.array([[5, 6], [7, 8]]) + >>> c_0 = np.tensordot(a_0, b_0, axes=0) + >>> c_0.shape + (2, 2, 2, 2) + >>> c_0 + array([[[[ 5, 6], + [ 7, 8]], + [[10, 12], + [14, 16]]], + [[[15, 18], + [21, 24]], + [[20, 24], + [28, 32]]]]) + + An example on array_like: + + >>> a = np.arange(60.).reshape(3,4,5) + >>> b = np.arange(24.).reshape(4,3,2) + >>> c = np.tensordot(a,b, axes=([1,0],[0,1])) + >>> c.shape + (5, 2) + >>> c + array([[4400., 4730.], + [4532., 4874.], + [4664., 5018.], + [4796., 5162.], + [4928., 5306.]]) + + A slower but equivalent way of computing the same... + + >>> d = np.zeros((5,2)) + >>> for i in range(5): + ... for j in range(2): + ... for k in range(3): + ... for n in range(4): + ... d[i,j] += a[k,n,i] * b[n,k,j] + >>> c == d + array([[ True, True], + [ True, True], + [ True, True], + [ True, True], + [ True, True]]) + + An extended example taking advantage of the overloading of + and \\*: + + >>> a = np.array(range(1, 9)) + >>> a.shape = (2, 2, 2) + >>> A = np.array(('a', 'b', 'c', 'd'), dtype=object) + >>> A.shape = (2, 2) + >>> a; A + array([[[1, 2], + [3, 4]], + [[5, 6], + [7, 8]]]) + array([['a', 'b'], + ['c', 'd']], dtype=object) + + >>> np.tensordot(a, A) # third argument default is 2 for double-contraction + array(['abbcccdddd', 'aaaaabbbbbbcccccccdddddddd'], dtype=object) + + >>> np.tensordot(a, A, 1) + array([[['acc', 'bdd'], + ['aaacccc', 'bbbdddd']], + [['aaaaacccccc', 'bbbbbdddddd'], + ['aaaaaaacccccccc', 'bbbbbbbdddddddd']]], dtype=object) + + >>> np.tensordot(a, A, 0) # tensor product (result too long to incl.) + array([[[[['a', 'b'], + ['c', 'd']], + ... + + >>> np.tensordot(a, A, (0, 1)) + array([[['abbbbb', 'cddddd'], + ['aabbbbbb', 'ccdddddd']], + [['aaabbbbbbb', 'cccddddddd'], + ['aaaabbbbbbbb', 'ccccdddddddd']]], dtype=object) + + >>> np.tensordot(a, A, (2, 1)) + array([[['abb', 'cdd'], + ['aaabbbb', 'cccdddd']], + [['aaaaabbbbbb', 'cccccdddddd'], + ['aaaaaaabbbbbbbb', 'cccccccdddddddd']]], dtype=object) + + >>> np.tensordot(a, A, ((0, 1), (0, 1))) + array(['abbbcccccddddddd', 'aabbbbccccccdddddddd'], dtype=object) + + >>> np.tensordot(a, A, ((2, 1), (1, 0))) + array(['acccbbdddd', 'aaaaacccccccbbbbbbdddddddd'], dtype=object) + + """ + try: + iter(axes) + except Exception: + axes_a = list(range(-axes, 0)) + axes_b = list(range(0, axes)) + else: + axes_a, axes_b = axes + try: + na = len(axes_a) + axes_a = list(axes_a) + except TypeError: + axes_a = [axes_a] + na = 1 + try: + nb = len(axes_b) + axes_b = list(axes_b) + except TypeError: + axes_b = [axes_b] + nb = 1 + + a, b = asarray(a), asarray(b) + as_ = a.shape + nda = a.ndim + bs = b.shape + ndb = b.ndim + equal = True + if na != nb: + equal = False + else: + for k in range(na): + if as_[axes_a[k]] != bs[axes_b[k]]: + equal = False + break + if axes_a[k] < 0: + axes_a[k] += nda + if axes_b[k] < 0: + axes_b[k] += ndb + if not equal: + raise ValueError("shape-mismatch for sum") + + # Move the axes to sum over to the end of "a" + # and to the front of "b" + notin = [k for k in range(nda) if k not in axes_a] + newaxes_a = notin + axes_a + N2 = math.prod(as_[axis] for axis in axes_a) + newshape_a = (math.prod([as_[ax] for ax in notin]), N2) + olda = [as_[axis] for axis in notin] + + notin = [k for k in range(ndb) if k not in axes_b] + newaxes_b = axes_b + notin + N2 = math.prod(bs[axis] for axis in axes_b) + newshape_b = (N2, math.prod([bs[ax] for ax in notin])) + oldb = [bs[axis] for axis in notin] + + at = a.transpose(newaxes_a).reshape(newshape_a) + bt = b.transpose(newaxes_b).reshape(newshape_b) + res = dot(at, bt) + return res.reshape(olda + oldb) + + +def _roll_dispatcher(a, shift, axis=None): + return (a,) + + +@array_function_dispatch(_roll_dispatcher) +def roll(a, shift, axis=None): + """ + Roll array elements along a given axis. + + Elements that roll beyond the last position are re-introduced at + the first. + + Parameters + ---------- + a : array_like + Input array. + shift : int or tuple of ints + The number of places by which elements are shifted. If a tuple, + then `axis` must be a tuple of the same size, and each of the + given axes is shifted by the corresponding number. If an int + while `axis` is a tuple of ints, then the same value is used for + all given axes. + axis : int or tuple of ints, optional + Axis or axes along which elements are shifted. By default, the + array is flattened before shifting, after which the original + shape is restored. + + Returns + ------- + res : ndarray + Output array, with the same shape as `a`. + + See Also + -------- + rollaxis : Roll the specified axis backwards, until it lies in a + given position. + + Notes + ----- + Supports rolling over multiple dimensions simultaneously. + + Examples + -------- + >>> import numpy as np + >>> x = np.arange(10) + >>> np.roll(x, 2) + array([8, 9, 0, 1, 2, 3, 4, 5, 6, 7]) + >>> np.roll(x, -2) + array([2, 3, 4, 5, 6, 7, 8, 9, 0, 1]) + + >>> x2 = np.reshape(x, (2, 5)) + >>> x2 + array([[0, 1, 2, 3, 4], + [5, 6, 7, 8, 9]]) + >>> np.roll(x2, 1) + array([[9, 0, 1, 2, 3], + [4, 5, 6, 7, 8]]) + >>> np.roll(x2, -1) + array([[1, 2, 3, 4, 5], + [6, 7, 8, 9, 0]]) + >>> np.roll(x2, 1, axis=0) + array([[5, 6, 7, 8, 9], + [0, 1, 2, 3, 4]]) + >>> np.roll(x2, -1, axis=0) + array([[5, 6, 7, 8, 9], + [0, 1, 2, 3, 4]]) + >>> np.roll(x2, 1, axis=1) + array([[4, 0, 1, 2, 3], + [9, 5, 6, 7, 8]]) + >>> np.roll(x2, -1, axis=1) + array([[1, 2, 3, 4, 0], + [6, 7, 8, 9, 5]]) + >>> np.roll(x2, (1, 1), axis=(1, 0)) + array([[9, 5, 6, 7, 8], + [4, 0, 1, 2, 3]]) + >>> np.roll(x2, (2, 1), axis=(1, 0)) + array([[8, 9, 5, 6, 7], + [3, 4, 0, 1, 2]]) + + """ + a = asanyarray(a) + if axis is None: + return roll(a.ravel(), shift, 0).reshape(a.shape) + + else: + axis = normalize_axis_tuple(axis, a.ndim, allow_duplicate=True) + broadcasted = broadcast(shift, axis) + if broadcasted.ndim > 1: + raise ValueError( + "'shift' and 'axis' should be scalars or 1D sequences") + shifts = {ax: 0 for ax in range(a.ndim)} + for sh, ax in broadcasted: + shifts[ax] += int(sh) + + rolls = [((slice(None), slice(None)),)] * a.ndim + for ax, offset in shifts.items(): + offset %= a.shape[ax] or 1 # If `a` is empty, nothing matters. + if offset: + # (original, result), (original, result) + rolls[ax] = ((slice(None, -offset), slice(offset, None)), + (slice(-offset, None), slice(None, offset))) + + result = empty_like(a) + for indices in itertools.product(*rolls): + arr_index, res_index = zip(*indices) + result[res_index] = a[arr_index] + + return result + + +def _rollaxis_dispatcher(a, axis, start=None): + return (a,) + + +@array_function_dispatch(_rollaxis_dispatcher) +def rollaxis(a, axis, start=0): + """ + Roll the specified axis backwards, until it lies in a given position. + + This function continues to be supported for backward compatibility, but you + should prefer `moveaxis`. The `moveaxis` function was added in NumPy + 1.11. + + Parameters + ---------- + a : ndarray + Input array. + axis : int + The axis to be rolled. The positions of the other axes do not + change relative to one another. + start : int, optional + When ``start <= axis``, the axis is rolled back until it lies in + this position. When ``start > axis``, the axis is rolled until it + lies before this position. The default, 0, results in a "complete" + roll. The following table describes how negative values of ``start`` + are interpreted: + + .. table:: + :align: left + + +-------------------+----------------------+ + | ``start`` | Normalized ``start`` | + +===================+======================+ + | ``-(arr.ndim+1)`` | raise ``AxisError`` | + +-------------------+----------------------+ + | ``-arr.ndim`` | 0 | + +-------------------+----------------------+ + | |vdots| | |vdots| | + +-------------------+----------------------+ + | ``-1`` | ``arr.ndim-1`` | + +-------------------+----------------------+ + | ``0`` | ``0`` | + +-------------------+----------------------+ + | |vdots| | |vdots| | + +-------------------+----------------------+ + | ``arr.ndim`` | ``arr.ndim`` | + +-------------------+----------------------+ + | ``arr.ndim + 1`` | raise ``AxisError`` | + +-------------------+----------------------+ + + .. |vdots| unicode:: U+22EE .. Vertical Ellipsis + + Returns + ------- + res : ndarray + For NumPy >= 1.10.0 a view of `a` is always returned. For earlier + NumPy versions a view of `a` is returned only if the order of the + axes is changed, otherwise the input array is returned. + + See Also + -------- + moveaxis : Move array axes to new positions. + roll : Roll the elements of an array by a number of positions along a + given axis. + + Examples + -------- + >>> import numpy as np + >>> a = np.ones((3,4,5,6)) + >>> np.rollaxis(a, 3, 1).shape + (3, 6, 4, 5) + >>> np.rollaxis(a, 2).shape + (5, 3, 4, 6) + >>> np.rollaxis(a, 1, 4).shape + (3, 5, 6, 4) + + """ + n = a.ndim + axis = normalize_axis_index(axis, n) + if start < 0: + start += n + msg = "'%s' arg requires %d <= %s < %d, but %d was passed in" + if not (0 <= start < n + 1): + raise AxisError(msg % ('start', -n, 'start', n + 1, start)) + if axis < start: + # it's been removed + start -= 1 + if axis == start: + return a[...] + axes = list(range(0, n)) + axes.remove(axis) + axes.insert(start, axis) + return a.transpose(axes) + + +@set_module("numpy.lib.array_utils") +def normalize_axis_tuple(axis, ndim, argname=None, allow_duplicate=False): + """ + Normalizes an axis argument into a tuple of non-negative integer axes. + + This handles shorthands such as ``1`` and converts them to ``(1,)``, + as well as performing the handling of negative indices covered by + `normalize_axis_index`. + + By default, this forbids axes from being specified multiple times. + + Used internally by multi-axis-checking logic. + + Parameters + ---------- + axis : int, iterable of int + The un-normalized index or indices of the axis. + ndim : int + The number of dimensions of the array that `axis` should be normalized + against. + argname : str, optional + A prefix to put before the error message, typically the name of the + argument. + allow_duplicate : bool, optional + If False, the default, disallow an axis from being specified twice. + + Returns + ------- + normalized_axes : tuple of int + The normalized axis index, such that `0 <= normalized_axis < ndim` + + Raises + ------ + AxisError + If any axis provided is out of range + ValueError + If an axis is repeated + + See also + -------- + normalize_axis_index : normalizing a single scalar axis + """ + # Optimization to speed-up the most common cases. + if type(axis) not in (tuple, list): + try: + axis = [operator.index(axis)] + except TypeError: + pass + # Going via an iterator directly is slower than via list comprehension. + axis = tuple([normalize_axis_index(ax, ndim, argname) for ax in axis]) + if not allow_duplicate and len(set(axis)) != len(axis): + if argname: + raise ValueError('repeated axis in `{}` argument'.format(argname)) + else: + raise ValueError('repeated axis') + return axis + + +def _moveaxis_dispatcher(a, source, destination): + return (a,) + + +@array_function_dispatch(_moveaxis_dispatcher) +def moveaxis(a, source, destination): + """ + Move axes of an array to new positions. + + Other axes remain in their original order. + + Parameters + ---------- + a : np.ndarray + The array whose axes should be reordered. + source : int or sequence of int + Original positions of the axes to move. These must be unique. + destination : int or sequence of int + Destination positions for each of the original axes. These must also be + unique. + + Returns + ------- + result : np.ndarray + Array with moved axes. This array is a view of the input array. + + See Also + -------- + transpose : Permute the dimensions of an array. + swapaxes : Interchange two axes of an array. + + Examples + -------- + >>> import numpy as np + >>> x = np.zeros((3, 4, 5)) + >>> np.moveaxis(x, 0, -1).shape + (4, 5, 3) + >>> np.moveaxis(x, -1, 0).shape + (5, 3, 4) + + These all achieve the same result: + + >>> np.transpose(x).shape + (5, 4, 3) + >>> np.swapaxes(x, 0, -1).shape + (5, 4, 3) + >>> np.moveaxis(x, [0, 1], [-1, -2]).shape + (5, 4, 3) + >>> np.moveaxis(x, [0, 1, 2], [-1, -2, -3]).shape + (5, 4, 3) + + """ + try: + # allow duck-array types if they define transpose + transpose = a.transpose + except AttributeError: + a = asarray(a) + transpose = a.transpose + + source = normalize_axis_tuple(source, a.ndim, 'source') + destination = normalize_axis_tuple(destination, a.ndim, 'destination') + if len(source) != len(destination): + raise ValueError('`source` and `destination` arguments must have ' + 'the same number of elements') + + order = [n for n in range(a.ndim) if n not in source] + + for dest, src in sorted(zip(destination, source)): + order.insert(dest, src) + + result = transpose(order) + return result + + +def _cross_dispatcher(a, b, axisa=None, axisb=None, axisc=None, axis=None): + return (a, b) + + +@array_function_dispatch(_cross_dispatcher) +def cross(a, b, axisa=-1, axisb=-1, axisc=-1, axis=None): + """ + Return the cross product of two (arrays of) vectors. + + The cross product of `a` and `b` in :math:`R^3` is a vector perpendicular + to both `a` and `b`. If `a` and `b` are arrays of vectors, the vectors + are defined by the last axis of `a` and `b` by default, and these axes + can have dimensions 2 or 3. Where the dimension of either `a` or `b` is + 2, the third component of the input vector is assumed to be zero and the + cross product calculated accordingly. In cases where both input vectors + have dimension 2, the z-component of the cross product is returned. + + Parameters + ---------- + a : array_like + Components of the first vector(s). + b : array_like + Components of the second vector(s). + axisa : int, optional + Axis of `a` that defines the vector(s). By default, the last axis. + axisb : int, optional + Axis of `b` that defines the vector(s). By default, the last axis. + axisc : int, optional + Axis of `c` containing the cross product vector(s). Ignored if + both input vectors have dimension 2, as the return is scalar. + By default, the last axis. + axis : int, optional + If defined, the axis of `a`, `b` and `c` that defines the vector(s) + and cross product(s). Overrides `axisa`, `axisb` and `axisc`. + + Returns + ------- + c : ndarray + Vector cross product(s). + + Raises + ------ + ValueError + When the dimension of the vector(s) in `a` and/or `b` does not + equal 2 or 3. + + See Also + -------- + inner : Inner product + outer : Outer product. + linalg.cross : An Array API compatible variation of ``np.cross``, + which accepts (arrays of) 3-element vectors only. + ix_ : Construct index arrays. + + Notes + ----- + Supports full broadcasting of the inputs. + + Dimension-2 input arrays were deprecated in 2.0.0. If you do need this + functionality, you can use:: + + def cross2d(x, y): + return x[..., 0] * y[..., 1] - x[..., 1] * y[..., 0] + + Examples + -------- + Vector cross-product. + + >>> import numpy as np + >>> x = [1, 2, 3] + >>> y = [4, 5, 6] + >>> np.cross(x, y) + array([-3, 6, -3]) + + One vector with dimension 2. + + >>> x = [1, 2] + >>> y = [4, 5, 6] + >>> np.cross(x, y) + array([12, -6, -3]) + + Equivalently: + + >>> x = [1, 2, 0] + >>> y = [4, 5, 6] + >>> np.cross(x, y) + array([12, -6, -3]) + + Both vectors with dimension 2. + + >>> x = [1,2] + >>> y = [4,5] + >>> np.cross(x, y) + array(-3) + + Multiple vector cross-products. Note that the direction of the cross + product vector is defined by the *right-hand rule*. + + >>> x = np.array([[1,2,3], [4,5,6]]) + >>> y = np.array([[4,5,6], [1,2,3]]) + >>> np.cross(x, y) + array([[-3, 6, -3], + [ 3, -6, 3]]) + + The orientation of `c` can be changed using the `axisc` keyword. + + >>> np.cross(x, y, axisc=0) + array([[-3, 3], + [ 6, -6], + [-3, 3]]) + + Change the vector definition of `x` and `y` using `axisa` and `axisb`. + + >>> x = np.array([[1,2,3], [4,5,6], [7, 8, 9]]) + >>> y = np.array([[7, 8, 9], [4,5,6], [1,2,3]]) + >>> np.cross(x, y) + array([[ -6, 12, -6], + [ 0, 0, 0], + [ 6, -12, 6]]) + >>> np.cross(x, y, axisa=0, axisb=0) + array([[-24, 48, -24], + [-30, 60, -30], + [-36, 72, -36]]) + + """ + if axis is not None: + axisa, axisb, axisc = (axis,) * 3 + a = asarray(a) + b = asarray(b) + + if (a.ndim < 1) or (b.ndim < 1): + raise ValueError("At least one array has zero dimension") + + # Check axisa and axisb are within bounds + axisa = normalize_axis_index(axisa, a.ndim, msg_prefix='axisa') + axisb = normalize_axis_index(axisb, b.ndim, msg_prefix='axisb') + + # Move working axis to the end of the shape + a = moveaxis(a, axisa, -1) + b = moveaxis(b, axisb, -1) + msg = ("incompatible dimensions for cross product\n" + "(dimension must be 2 or 3)") + if a.shape[-1] not in (2, 3) or b.shape[-1] not in (2, 3): + raise ValueError(msg) + if a.shape[-1] == 2 or b.shape[-1] == 2: + # Deprecated in NumPy 2.0, 2023-09-26 + warnings.warn( + "Arrays of 2-dimensional vectors are deprecated. Use arrays of " + "3-dimensional vectors instead. (deprecated in NumPy 2.0)", + DeprecationWarning, stacklevel=2 + ) + + # Create the output array + shape = broadcast(a[..., 0], b[..., 0]).shape + if a.shape[-1] == 3 or b.shape[-1] == 3: + shape += (3,) + # Check axisc is within bounds + axisc = normalize_axis_index(axisc, len(shape), msg_prefix='axisc') + dtype = promote_types(a.dtype, b.dtype) + cp = empty(shape, dtype) + + # recast arrays as dtype + a = a.astype(dtype) + b = b.astype(dtype) + + # create local aliases for readability + a0 = a[..., 0] + a1 = a[..., 1] + if a.shape[-1] == 3: + a2 = a[..., 2] + b0 = b[..., 0] + b1 = b[..., 1] + if b.shape[-1] == 3: + b2 = b[..., 2] + if cp.ndim != 0 and cp.shape[-1] == 3: + cp0 = cp[..., 0] + cp1 = cp[..., 1] + cp2 = cp[..., 2] + + if a.shape[-1] == 2: + if b.shape[-1] == 2: + # a0 * b1 - a1 * b0 + multiply(a0, b1, out=cp) + cp -= a1 * b0 + return cp + else: + assert b.shape[-1] == 3 + # cp0 = a1 * b2 - 0 (a2 = 0) + # cp1 = 0 - a0 * b2 (a2 = 0) + # cp2 = a0 * b1 - a1 * b0 + multiply(a1, b2, out=cp0) + multiply(a0, b2, out=cp1) + negative(cp1, out=cp1) + multiply(a0, b1, out=cp2) + cp2 -= a1 * b0 + else: + assert a.shape[-1] == 3 + if b.shape[-1] == 3: + # cp0 = a1 * b2 - a2 * b1 + # cp1 = a2 * b0 - a0 * b2 + # cp2 = a0 * b1 - a1 * b0 + multiply(a1, b2, out=cp0) + tmp = array(a2 * b1) + cp0 -= tmp + multiply(a2, b0, out=cp1) + multiply(a0, b2, out=tmp) + cp1 -= tmp + multiply(a0, b1, out=cp2) + multiply(a1, b0, out=tmp) + cp2 -= tmp + else: + assert b.shape[-1] == 2 + # cp0 = 0 - a2 * b1 (b2 = 0) + # cp1 = a2 * b0 - 0 (b2 = 0) + # cp2 = a0 * b1 - a1 * b0 + multiply(a2, b1, out=cp0) + negative(cp0, out=cp0) + multiply(a2, b0, out=cp1) + multiply(a0, b1, out=cp2) + cp2 -= a1 * b0 + + return moveaxis(cp, -1, axisc) + + +little_endian = (sys.byteorder == 'little') + + +@set_module('numpy') +def indices(dimensions, dtype=int, sparse=False): + """ + Return an array representing the indices of a grid. + + Compute an array where the subarrays contain index values 0, 1, ... + varying only along the corresponding axis. + + Parameters + ---------- + dimensions : sequence of ints + The shape of the grid. + dtype : dtype, optional + Data type of the result. + sparse : boolean, optional + Return a sparse representation of the grid instead of a dense + representation. Default is False. + + Returns + ------- + grid : one ndarray or tuple of ndarrays + If sparse is False: + Returns one array of grid indices, + ``grid.shape = (len(dimensions),) + tuple(dimensions)``. + If sparse is True: + Returns a tuple of arrays, with + ``grid[i].shape = (1, ..., 1, dimensions[i], 1, ..., 1)`` with + dimensions[i] in the ith place + + See Also + -------- + mgrid, ogrid, meshgrid + + Notes + ----- + The output shape in the dense case is obtained by prepending the number + of dimensions in front of the tuple of dimensions, i.e. if `dimensions` + is a tuple ``(r0, ..., rN-1)`` of length ``N``, the output shape is + ``(N, r0, ..., rN-1)``. + + The subarrays ``grid[k]`` contains the N-D array of indices along the + ``k-th`` axis. Explicitly:: + + grid[k, i0, i1, ..., iN-1] = ik + + Examples + -------- + >>> import numpy as np + >>> grid = np.indices((2, 3)) + >>> grid.shape + (2, 2, 3) + >>> grid[0] # row indices + array([[0, 0, 0], + [1, 1, 1]]) + >>> grid[1] # column indices + array([[0, 1, 2], + [0, 1, 2]]) + + The indices can be used as an index into an array. + + >>> x = np.arange(20).reshape(5, 4) + >>> row, col = np.indices((2, 3)) + >>> x[row, col] + array([[0, 1, 2], + [4, 5, 6]]) + + Note that it would be more straightforward in the above example to + extract the required elements directly with ``x[:2, :3]``. + + If sparse is set to true, the grid will be returned in a sparse + representation. + + >>> i, j = np.indices((2, 3), sparse=True) + >>> i.shape + (2, 1) + >>> j.shape + (1, 3) + >>> i # row indices + array([[0], + [1]]) + >>> j # column indices + array([[0, 1, 2]]) + + """ + dimensions = tuple(dimensions) + N = len(dimensions) + shape = (1,)*N + if sparse: + res = tuple() + else: + res = empty((N,)+dimensions, dtype=dtype) + for i, dim in enumerate(dimensions): + idx = arange(dim, dtype=dtype).reshape( + shape[:i] + (dim,) + shape[i+1:] + ) + if sparse: + res = res + (idx,) + else: + res[i] = idx + return res + + +@finalize_array_function_like +@set_module('numpy') +def fromfunction(function, shape, *, dtype=float, like=None, **kwargs): + """ + Construct an array by executing a function over each coordinate. + + The resulting array therefore has a value ``fn(x, y, z)`` at + coordinate ``(x, y, z)``. + + Parameters + ---------- + function : callable + The function is called with N parameters, where N is the rank of + `shape`. Each parameter represents the coordinates of the array + varying along a specific axis. For example, if `shape` + were ``(2, 2)``, then the parameters would be + ``array([[0, 0], [1, 1]])`` and ``array([[0, 1], [0, 1]])`` + shape : (N,) tuple of ints + Shape of the output array, which also determines the shape of + the coordinate arrays passed to `function`. + dtype : data-type, optional + Data-type of the coordinate arrays passed to `function`. + By default, `dtype` is float. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + fromfunction : any + The result of the call to `function` is passed back directly. + Therefore the shape of `fromfunction` is completely determined by + `function`. If `function` returns a scalar value, the shape of + `fromfunction` would not match the `shape` parameter. + + See Also + -------- + indices, meshgrid + + Notes + ----- + Keywords other than `dtype` and `like` are passed to `function`. + + Examples + -------- + >>> import numpy as np + >>> np.fromfunction(lambda i, j: i, (2, 2), dtype=float) + array([[0., 0.], + [1., 1.]]) + + >>> np.fromfunction(lambda i, j: j, (2, 2), dtype=float) + array([[0., 1.], + [0., 1.]]) + + >>> np.fromfunction(lambda i, j: i == j, (3, 3), dtype=int) + array([[ True, False, False], + [False, True, False], + [False, False, True]]) + + >>> np.fromfunction(lambda i, j: i + j, (3, 3), dtype=int) + array([[0, 1, 2], + [1, 2, 3], + [2, 3, 4]]) + + """ + if like is not None: + return _fromfunction_with_like( + like, function, shape, dtype=dtype, **kwargs) + + args = indices(shape, dtype=dtype) + return function(*args, **kwargs) + + +_fromfunction_with_like = array_function_dispatch()(fromfunction) + + +def _frombuffer(buf, dtype, shape, order): + return frombuffer(buf, dtype=dtype).reshape(shape, order=order) + + +@set_module('numpy') +def isscalar(element): + """ + Returns True if the type of `element` is a scalar type. + + Parameters + ---------- + element : any + Input argument, can be of any type and shape. + + Returns + ------- + val : bool + True if `element` is a scalar type, False if it is not. + + See Also + -------- + ndim : Get the number of dimensions of an array + + Notes + ----- + If you need a stricter way to identify a *numerical* scalar, use + ``isinstance(x, numbers.Number)``, as that returns ``False`` for most + non-numerical elements such as strings. + + In most cases ``np.ndim(x) == 0`` should be used instead of this function, + as that will also return true for 0d arrays. This is how numpy overloads + functions in the style of the ``dx`` arguments to `gradient` and + the ``bins`` argument to `histogram`. Some key differences: + + +------------------------------------+---------------+-------------------+ + | x |``isscalar(x)``|``np.ndim(x) == 0``| + +====================================+===============+===================+ + | PEP 3141 numeric objects | ``True`` | ``True`` | + | (including builtins) | | | + +------------------------------------+---------------+-------------------+ + | builtin string and buffer objects | ``True`` | ``True`` | + +------------------------------------+---------------+-------------------+ + | other builtin objects, like | ``False`` | ``True`` | + | `pathlib.Path`, `Exception`, | | | + | the result of `re.compile` | | | + +------------------------------------+---------------+-------------------+ + | third-party objects like | ``False`` | ``True`` | + | `matplotlib.figure.Figure` | | | + +------------------------------------+---------------+-------------------+ + | zero-dimensional numpy arrays | ``False`` | ``True`` | + +------------------------------------+---------------+-------------------+ + | other numpy arrays | ``False`` | ``False`` | + +------------------------------------+---------------+-------------------+ + | `list`, `tuple`, and other | ``False`` | ``False`` | + | sequence objects | | | + +------------------------------------+---------------+-------------------+ + + Examples + -------- + >>> import numpy as np + + >>> np.isscalar(3.1) + True + + >>> np.isscalar(np.array(3.1)) + False + + >>> np.isscalar([3.1]) + False + + >>> np.isscalar(False) + True + + >>> np.isscalar('numpy') + True + + NumPy supports PEP 3141 numbers: + + >>> from fractions import Fraction + >>> np.isscalar(Fraction(5, 17)) + True + >>> from numbers import Number + >>> np.isscalar(Number()) + True + + """ + return (isinstance(element, generic) + or type(element) in ScalarType + or isinstance(element, numbers.Number)) + + +@set_module('numpy') +def binary_repr(num, width=None): + """ + Return the binary representation of the input number as a string. + + For negative numbers, if width is not given, a minus sign is added to the + front. If width is given, the two's complement of the number is + returned, with respect to that width. + + In a two's-complement system negative numbers are represented by the two's + complement of the absolute value. This is the most common method of + representing signed integers on computers [1]_. A N-bit two's-complement + system can represent every integer in the range + :math:`-2^{N-1}` to :math:`+2^{N-1}-1`. + + Parameters + ---------- + num : int + Only an integer decimal number can be used. + width : int, optional + The length of the returned string if `num` is positive, or the length + of the two's complement if `num` is negative, provided that `width` is + at least a sufficient number of bits for `num` to be represented in + the designated form. If the `width` value is insufficient, an error is + raised. + + Returns + ------- + bin : str + Binary representation of `num` or two's complement of `num`. + + See Also + -------- + base_repr: Return a string representation of a number in the given base + system. + bin: Python's built-in binary representation generator of an integer. + + Notes + ----- + `binary_repr` is equivalent to using `base_repr` with base 2, but about 25x + faster. + + References + ---------- + .. [1] Wikipedia, "Two's complement", + https://en.wikipedia.org/wiki/Two's_complement + + Examples + -------- + >>> import numpy as np + >>> np.binary_repr(3) + '11' + >>> np.binary_repr(-3) + '-11' + >>> np.binary_repr(3, width=4) + '0011' + + The two's complement is returned when the input number is negative and + width is specified: + + >>> np.binary_repr(-3, width=3) + '101' + >>> np.binary_repr(-3, width=5) + '11101' + + """ + def err_if_insufficient(width, binwidth): + if width is not None and width < binwidth: + raise ValueError( + f"Insufficient bit {width=} provided for {binwidth=}" + ) + + # Ensure that num is a Python integer to avoid overflow or unwanted + # casts to floating point. + num = operator.index(num) + + if num == 0: + return '0' * (width or 1) + + elif num > 0: + binary = bin(num)[2:] + binwidth = len(binary) + outwidth = (binwidth if width is None + else builtins.max(binwidth, width)) + err_if_insufficient(width, binwidth) + return binary.zfill(outwidth) + + else: + if width is None: + return '-' + bin(-num)[2:] + + else: + poswidth = len(bin(-num)[2:]) + + # See gh-8679: remove extra digit + # for numbers at boundaries. + if 2**(poswidth - 1) == -num: + poswidth -= 1 + + twocomp = 2**(poswidth + 1) + num + binary = bin(twocomp)[2:] + binwidth = len(binary) + + outwidth = builtins.max(binwidth, width) + err_if_insufficient(width, binwidth) + return '1' * (outwidth - binwidth) + binary + + +@set_module('numpy') +def base_repr(number, base=2, padding=0): + """ + Return a string representation of a number in the given base system. + + Parameters + ---------- + number : int + The value to convert. Positive and negative values are handled. + base : int, optional + Convert `number` to the `base` number system. The valid range is 2-36, + the default value is 2. + padding : int, optional + Number of zeros padded on the left. Default is 0 (no padding). + + Returns + ------- + out : str + String representation of `number` in `base` system. + + See Also + -------- + binary_repr : Faster version of `base_repr` for base 2. + + Examples + -------- + >>> import numpy as np + >>> np.base_repr(5) + '101' + >>> np.base_repr(6, 5) + '11' + >>> np.base_repr(7, base=5, padding=3) + '00012' + + >>> np.base_repr(10, base=16) + 'A' + >>> np.base_repr(32, base=16) + '20' + + """ + digits = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ' + if base > len(digits): + raise ValueError("Bases greater than 36 not handled in base_repr.") + elif base < 2: + raise ValueError("Bases less than 2 not handled in base_repr.") + + num = abs(int(number)) + res = [] + while num: + res.append(digits[num % base]) + num //= base + if padding: + res.append('0' * padding) + if number < 0: + res.append('-') + return ''.join(reversed(res or '0')) + + +# These are all essentially abbreviations +# These might wind up in a special abbreviations module + + +def _maketup(descr, val): + dt = dtype(descr) + # Place val in all scalar tuples: + fields = dt.fields + if fields is None: + return val + else: + res = [_maketup(fields[name][0], val) for name in dt.names] + return tuple(res) + + +@finalize_array_function_like +@set_module('numpy') +def identity(n, dtype=None, *, like=None): + """ + Return the identity array. + + The identity array is a square array with ones on + the main diagonal. + + Parameters + ---------- + n : int + Number of rows (and columns) in `n` x `n` output. + dtype : data-type, optional + Data-type of the output. Defaults to ``float``. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + `n` x `n` array with its main diagonal set to one, + and all other elements 0. + + Examples + -------- + >>> import numpy as np + >>> np.identity(3) + array([[1., 0., 0.], + [0., 1., 0.], + [0., 0., 1.]]) + + """ + if like is not None: + return _identity_with_like(like, n, dtype=dtype) + + from numpy import eye + return eye(n, dtype=dtype, like=like) + + +_identity_with_like = array_function_dispatch()(identity) + + +def _allclose_dispatcher(a, b, rtol=None, atol=None, equal_nan=None): + return (a, b, rtol, atol) + + +@array_function_dispatch(_allclose_dispatcher) +def allclose(a, b, rtol=1.e-5, atol=1.e-8, equal_nan=False): + """ + Returns True if two arrays are element-wise equal within a tolerance. + + The tolerance values are positive, typically very small numbers. The + relative difference (`rtol` * abs(`b`)) and the absolute difference + `atol` are added together to compare against the absolute difference + between `a` and `b`. + + .. warning:: The default `atol` is not appropriate for comparing numbers + with magnitudes much smaller than one (see Notes). + + NaNs are treated as equal if they are in the same place and if + ``equal_nan=True``. Infs are treated as equal if they are in the same + place and of the same sign in both arrays. + + Parameters + ---------- + a, b : array_like + Input arrays to compare. + rtol : array_like + The relative tolerance parameter (see Notes). + atol : array_like + The absolute tolerance parameter (see Notes). + equal_nan : bool + Whether to compare NaN's as equal. If True, NaN's in `a` will be + considered equal to NaN's in `b` in the output array. + + Returns + ------- + allclose : bool + Returns True if the two arrays are equal within the given + tolerance; False otherwise. + + See Also + -------- + isclose, all, any, equal + + Notes + ----- + If the following equation is element-wise True, then allclose returns + True.:: + + absolute(a - b) <= (atol + rtol * absolute(b)) + + The above equation is not symmetric in `a` and `b`, so that + ``allclose(a, b)`` might be different from ``allclose(b, a)`` in + some rare cases. + + The default value of `atol` is not appropriate when the reference value + `b` has magnitude smaller than one. For example, it is unlikely that + ``a = 1e-9`` and ``b = 2e-9`` should be considered "close", yet + ``allclose(1e-9, 2e-9)`` is ``True`` with default settings. Be sure + to select `atol` for the use case at hand, especially for defining the + threshold below which a non-zero value in `a` will be considered "close" + to a very small or zero value in `b`. + + The comparison of `a` and `b` uses standard broadcasting, which + means that `a` and `b` need not have the same shape in order for + ``allclose(a, b)`` to evaluate to True. The same is true for + `equal` but not `array_equal`. + + `allclose` is not defined for non-numeric data types. + `bool` is considered a numeric data-type for this purpose. + + Examples + -------- + >>> import numpy as np + >>> np.allclose([1e10,1e-7], [1.00001e10,1e-8]) + False + + >>> np.allclose([1e10,1e-8], [1.00001e10,1e-9]) + True + + >>> np.allclose([1e10,1e-8], [1.0001e10,1e-9]) + False + + >>> np.allclose([1.0, np.nan], [1.0, np.nan]) + False + + >>> np.allclose([1.0, np.nan], [1.0, np.nan], equal_nan=True) + True + + + """ + res = all(isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan)) + return builtins.bool(res) + + +def _isclose_dispatcher(a, b, rtol=None, atol=None, equal_nan=None): + return (a, b, rtol, atol) + + +@array_function_dispatch(_isclose_dispatcher) +def isclose(a, b, rtol=1.e-5, atol=1.e-8, equal_nan=False): + """ + Returns a boolean array where two arrays are element-wise equal within a + tolerance. + + The tolerance values are positive, typically very small numbers. The + relative difference (`rtol` * abs(`b`)) and the absolute difference + `atol` are added together to compare against the absolute difference + between `a` and `b`. + + .. warning:: The default `atol` is not appropriate for comparing numbers + with magnitudes much smaller than one (see Notes). + + Parameters + ---------- + a, b : array_like + Input arrays to compare. + rtol : array_like + The relative tolerance parameter (see Notes). + atol : array_like + The absolute tolerance parameter (see Notes). + equal_nan : bool + Whether to compare NaN's as equal. If True, NaN's in `a` will be + considered equal to NaN's in `b` in the output array. + + Returns + ------- + y : array_like + Returns a boolean array of where `a` and `b` are equal within the + given tolerance. If both `a` and `b` are scalars, returns a single + boolean value. + + See Also + -------- + allclose + math.isclose + + Notes + ----- + For finite values, isclose uses the following equation to test whether + two floating point values are equivalent.:: + + absolute(a - b) <= (atol + rtol * absolute(b)) + + Unlike the built-in `math.isclose`, the above equation is not symmetric + in `a` and `b` -- it assumes `b` is the reference value -- so that + `isclose(a, b)` might be different from `isclose(b, a)`. + + The default value of `atol` is not appropriate when the reference value + `b` has magnitude smaller than one. For example, it is unlikely that + ``a = 1e-9`` and ``b = 2e-9`` should be considered "close", yet + ``isclose(1e-9, 2e-9)`` is ``True`` with default settings. Be sure + to select `atol` for the use case at hand, especially for defining the + threshold below which a non-zero value in `a` will be considered "close" + to a very small or zero value in `b`. + + `isclose` is not defined for non-numeric data types. + :class:`bool` is considered a numeric data-type for this purpose. + + Examples + -------- + >>> import numpy as np + >>> np.isclose([1e10,1e-7], [1.00001e10,1e-8]) + array([ True, False]) + + >>> np.isclose([1e10,1e-8], [1.00001e10,1e-9]) + array([ True, True]) + + >>> np.isclose([1e10,1e-8], [1.0001e10,1e-9]) + array([False, True]) + + >>> np.isclose([1.0, np.nan], [1.0, np.nan]) + array([ True, False]) + + >>> np.isclose([1.0, np.nan], [1.0, np.nan], equal_nan=True) + array([ True, True]) + + >>> np.isclose([1e-8, 1e-7], [0.0, 0.0]) + array([ True, False]) + + >>> np.isclose([1e-100, 1e-7], [0.0, 0.0], atol=0.0) + array([False, False]) + + >>> np.isclose([1e-10, 1e-10], [1e-20, 0.0]) + array([ True, True]) + + >>> np.isclose([1e-10, 1e-10], [1e-20, 0.999999e-10], atol=0.0) + array([False, True]) + + """ + # Turn all but python scalars into arrays. + x, y, atol, rtol = ( + a if isinstance(a, (int, float, complex)) else asanyarray(a) + for a in (a, b, atol, rtol)) + + # Make sure y is an inexact type to avoid bad behavior on abs(MIN_INT). + # This will cause casting of x later. Also, make sure to allow subclasses + # (e.g., for numpy.ma). + # NOTE: We explicitly allow timedelta, which used to work. This could + # possibly be deprecated. See also gh-18286. + # timedelta works if `atol` is an integer or also a timedelta. + # Although, the default tolerances are unlikely to be useful + if (dtype := getattr(y, "dtype", None)) is not None and dtype.kind != "m": + dt = multiarray.result_type(y, 1.) + y = asanyarray(y, dtype=dt) + elif isinstance(y, int): + y = float(y) + + with errstate(invalid='ignore'): + result = (less_equal(abs(x-y), atol + rtol * abs(y)) + & isfinite(y) + | (x == y)) + if equal_nan: + result |= isnan(x) & isnan(y) + + return result[()] # Flatten 0d arrays to scalars + + +def _array_equal_dispatcher(a1, a2, equal_nan=None): + return (a1, a2) + + +_no_nan_types = { + # should use np.dtype.BoolDType, but as of writing + # that fails the reloading test. + type(dtype(nt.bool)), + type(dtype(nt.int8)), + type(dtype(nt.int16)), + type(dtype(nt.int32)), + type(dtype(nt.int64)), +} + + +def _dtype_cannot_hold_nan(dtype): + return type(dtype) in _no_nan_types + + +@array_function_dispatch(_array_equal_dispatcher) +def array_equal(a1, a2, equal_nan=False): + """ + True if two arrays have the same shape and elements, False otherwise. + + Parameters + ---------- + a1, a2 : array_like + Input arrays. + equal_nan : bool + Whether to compare NaN's as equal. If the dtype of a1 and a2 is + complex, values will be considered equal if either the real or the + imaginary component of a given value is ``nan``. + + Returns + ------- + b : bool + Returns True if the arrays are equal. + + See Also + -------- + allclose: Returns True if two arrays are element-wise equal within a + tolerance. + array_equiv: Returns True if input arrays are shape consistent and all + elements equal. + + Examples + -------- + >>> import numpy as np + + >>> np.array_equal([1, 2], [1, 2]) + True + + >>> np.array_equal(np.array([1, 2]), np.array([1, 2])) + True + + >>> np.array_equal([1, 2], [1, 2, 3]) + False + + >>> np.array_equal([1, 2], [1, 4]) + False + + >>> a = np.array([1, np.nan]) + >>> np.array_equal(a, a) + False + + >>> np.array_equal(a, a, equal_nan=True) + True + + When ``equal_nan`` is True, complex values with nan components are + considered equal if either the real *or* the imaginary components are nan. + + >>> a = np.array([1 + 1j]) + >>> b = a.copy() + >>> a.real = np.nan + >>> b.imag = np.nan + >>> np.array_equal(a, b, equal_nan=True) + True + """ + try: + a1, a2 = asarray(a1), asarray(a2) + except Exception: + return False + if a1.shape != a2.shape: + return False + if not equal_nan: + return builtins.bool((asanyarray(a1 == a2)).all()) + + if a1 is a2: + # nan will compare equal so an array will compare equal to itself. + return True + + cannot_have_nan = (_dtype_cannot_hold_nan(a1.dtype) + and _dtype_cannot_hold_nan(a2.dtype)) + if cannot_have_nan: + return builtins.bool(asarray(a1 == a2).all()) + + # Handling NaN values if equal_nan is True + a1nan, a2nan = isnan(a1), isnan(a2) + # NaN's occur at different locations + if not (a1nan == a2nan).all(): + return False + # Shapes of a1, a2 and masks are guaranteed to be consistent by this point + return builtins.bool((a1[~a1nan] == a2[~a1nan]).all()) + + +def _array_equiv_dispatcher(a1, a2): + return (a1, a2) + + +@array_function_dispatch(_array_equiv_dispatcher) +def array_equiv(a1, a2): + """ + Returns True if input arrays are shape consistent and all elements equal. + + Shape consistent means they are either the same shape, or one input array + can be broadcasted to create the same shape as the other one. + + Parameters + ---------- + a1, a2 : array_like + Input arrays. + + Returns + ------- + out : bool + True if equivalent, False otherwise. + + Examples + -------- + >>> import numpy as np + >>> np.array_equiv([1, 2], [1, 2]) + True + >>> np.array_equiv([1, 2], [1, 3]) + False + + Showing the shape equivalence: + + >>> np.array_equiv([1, 2], [[1, 2], [1, 2]]) + True + >>> np.array_equiv([1, 2], [[1, 2, 1, 2], [1, 2, 1, 2]]) + False + + >>> np.array_equiv([1, 2], [[1, 2], [1, 3]]) + False + + """ + try: + a1, a2 = asarray(a1), asarray(a2) + except Exception: + return False + try: + multiarray.broadcast(a1, a2) + except Exception: + return False + + return builtins.bool(asanyarray(a1 == a2).all()) + + +def _astype_dispatcher(x, dtype, /, *, copy=None, device=None): + return (x, dtype) + + +@array_function_dispatch(_astype_dispatcher) +def astype(x, dtype, /, *, copy=True, device=None): + """ + Copies an array to a specified data type. + + This function is an Array API compatible alternative to + `numpy.ndarray.astype`. + + Parameters + ---------- + x : ndarray + Input NumPy array to cast. ``array_likes`` are explicitly not + supported here. + dtype : dtype + Data type of the result. + copy : bool, optional + Specifies whether to copy an array when the specified dtype matches + the data type of the input array ``x``. If ``True``, a newly allocated + array must always be returned. If ``False`` and the specified dtype + matches the data type of the input array, the input array must be + returned; otherwise, a newly allocated array must be returned. + Defaults to ``True``. + device : str, optional + The device on which to place the returned array. Default: None. + For Array-API interoperability only, so must be ``"cpu"`` if passed. + + .. versionadded:: 2.1.0 + + Returns + ------- + out : ndarray + An array having the specified data type. + + See Also + -------- + ndarray.astype + + Examples + -------- + >>> import numpy as np + >>> arr = np.array([1, 2, 3]); arr + array([1, 2, 3]) + >>> np.astype(arr, np.float64) + array([1., 2., 3.]) + + Non-copy case: + + >>> arr = np.array([1, 2, 3]) + >>> arr_noncpy = np.astype(arr, arr.dtype, copy=False) + >>> np.shares_memory(arr, arr_noncpy) + True + + """ + if not (isinstance(x, np.ndarray) or isscalar(x)): + raise TypeError( + "Input should be a NumPy array or scalar. " + f"It is a {type(x)} instead." + ) + if device is not None and device != "cpu": + raise ValueError( + 'Device not understood. Only "cpu" is allowed, but received:' + f' {device}' + ) + return x.astype(dtype, copy=copy) + + +inf = PINF +nan = NAN +False_ = nt.bool(False) +True_ = nt.bool(True) + + +def extend_all(module): + existing = set(__all__) + mall = module.__all__ + for a in mall: + if a not in existing: + __all__.append(a) + + +from .umath import * +from .numerictypes import * +from . import fromnumeric +from .fromnumeric import * +from . import arrayprint +from .arrayprint import * +from . import _asarray +from ._asarray import * +from . import _ufunc_config +from ._ufunc_config import * +extend_all(fromnumeric) +extend_all(umath) +extend_all(numerictypes) +extend_all(arrayprint) +extend_all(_asarray) +extend_all(_ufunc_config) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numeric.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numeric.pyi new file mode 100644 index 0000000000000000000000000000000000000000..23e8a95878bbb9b1e677bc4272f89b74e0ed490f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numeric.pyi @@ -0,0 +1,896 @@ +from collections.abc import Callable, Sequence +from typing import ( + Any, + Final, + TypeAlias, + overload, + TypeVar, + Literal as L, + SupportsAbs, + SupportsIndex, + NoReturn, + TypeGuard, +) +from typing_extensions import Unpack + +import numpy as np +from numpy import ( + # re-exports + bitwise_not, + False_, + True_, + broadcast, + dtype, + flatiter, + from_dlpack, + inf, + little_endian, + matmul, + vecdot, + nan, + ndarray, + nditer, + newaxis, + ufunc, + + # other + generic, + unsignedinteger, + signedinteger, + floating, + complexfloating, + int_, + intp, + float64, + timedelta64, + object_, + _AnyShapeType, + _OrderKACF, + _OrderCF, +) +from .fromnumeric import ( + all as all, + any as any, + argpartition as argpartition, + matrix_transpose as matrix_transpose, + mean as mean, +) +from .multiarray import ( + # re-exports + arange, + array, + asarray, + asanyarray, + ascontiguousarray, + asfortranarray, + can_cast, + concatenate, + copyto, + dot, + empty, + empty_like, + frombuffer, + fromfile, + fromiter, + fromstring, + inner, + lexsort, + may_share_memory, + min_scalar_type, + nested_iters, + putmask, + promote_types, + result_type, + shares_memory, + vdot, + where, + zeros, + + # other + _Array, + _ConstructorEmpty, + _KwargsEmpty, +) + +from numpy._typing import ( + ArrayLike, + NDArray, + DTypeLike, + _SupportsDType, + _ShapeLike, + _DTypeLike, + _ArrayLike, + _SupportsArrayFunc, + _ScalarLike_co, + _ArrayLikeBool_co, + _ArrayLikeUInt_co, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeTD64_co, + _ArrayLikeObject_co, + _ArrayLikeUnknown, + _NestedSequence, +) + +__all__ = [ + "newaxis", + "ndarray", + "flatiter", + "nditer", + "nested_iters", + "ufunc", + "arange", + "array", + "asarray", + "asanyarray", + "ascontiguousarray", + "asfortranarray", + "zeros", + "count_nonzero", + "empty", + "broadcast", + "dtype", + "fromstring", + "fromfile", + "frombuffer", + "from_dlpack", + "where", + "argwhere", + "copyto", + "concatenate", + "lexsort", + "astype", + "can_cast", + "promote_types", + "min_scalar_type", + "result_type", + "isfortran", + "empty_like", + "zeros_like", + "ones_like", + "correlate", + "convolve", + "inner", + "dot", + "outer", + "vdot", + "roll", + "rollaxis", + "moveaxis", + "cross", + "tensordot", + "little_endian", + "fromiter", + "array_equal", + "array_equiv", + "indices", + "fromfunction", + "isclose", + "isscalar", + "binary_repr", + "base_repr", + "ones", + "identity", + "allclose", + "putmask", + "flatnonzero", + "inf", + "nan", + "False_", + "True_", + "bitwise_not", + "full", + "full_like", + "matmul", + "vecdot", + "shares_memory", + "may_share_memory", +] + +_T = TypeVar("_T") +_SCT = TypeVar("_SCT", bound=generic) +_DType = TypeVar("_DType", bound=np.dtype[Any]) +_ArrayType = TypeVar("_ArrayType", bound=np.ndarray[Any, Any]) +_ShapeType = TypeVar("_ShapeType", bound=tuple[int, ...]) + +_CorrelateMode: TypeAlias = L["valid", "same", "full"] + +@overload +def zeros_like( + a: _ArrayType, + dtype: None = ..., + order: _OrderKACF = ..., + subok: L[True] = ..., + shape: None = ..., + *, + device: None | L["cpu"] = ..., +) -> _ArrayType: ... +@overload +def zeros_like( + a: _ArrayLike[_SCT], + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def zeros_like( + a: object, + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... +@overload +def zeros_like( + a: Any, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def zeros_like( + a: Any, + dtype: DTypeLike, + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... + +ones: Final[_ConstructorEmpty] + +@overload +def ones_like( + a: _ArrayType, + dtype: None = ..., + order: _OrderKACF = ..., + subok: L[True] = ..., + shape: None = ..., + *, + device: None | L["cpu"] = ..., +) -> _ArrayType: ... +@overload +def ones_like( + a: _ArrayLike[_SCT], + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def ones_like( + a: object, + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... +@overload +def ones_like( + a: Any, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def ones_like( + a: Any, + dtype: DTypeLike, + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... + +# TODO: Add overloads for bool, int, float, complex, str, bytes, and memoryview +# 1-D shape +@overload +def full( + shape: SupportsIndex, + fill_value: _SCT, + dtype: None = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> _Array[tuple[int], _SCT]: ... +@overload +def full( + shape: SupportsIndex, + fill_value: Any, + dtype: _DType | _SupportsDType[_DType], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> np.ndarray[tuple[int], _DType]: ... +@overload +def full( + shape: SupportsIndex, + fill_value: Any, + dtype: type[_SCT], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> _Array[tuple[int], _SCT]: ... +@overload +def full( + shape: SupportsIndex, + fill_value: Any, + dtype: None | DTypeLike = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> _Array[tuple[int], Any]: ... +# known shape +@overload +def full( + shape: _AnyShapeType, + fill_value: _SCT, + dtype: None = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> _Array[_AnyShapeType, _SCT]: ... +@overload +def full( + shape: _AnyShapeType, + fill_value: Any, + dtype: _DType | _SupportsDType[_DType], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> np.ndarray[_AnyShapeType, _DType]: ... +@overload +def full( + shape: _AnyShapeType, + fill_value: Any, + dtype: type[_SCT], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> _Array[_AnyShapeType, _SCT]: ... +@overload +def full( + shape: _AnyShapeType, + fill_value: Any, + dtype: None | DTypeLike = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> _Array[_AnyShapeType, Any]: ... +# unknown shape +@overload +def full( + shape: _ShapeLike, + fill_value: _SCT, + dtype: None = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> NDArray[_SCT]: ... +@overload +def full( + shape: _ShapeLike, + fill_value: Any, + dtype: _DType | _SupportsDType[_DType], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> np.ndarray[Any, _DType]: ... +@overload +def full( + shape: _ShapeLike, + fill_value: Any, + dtype: type[_SCT], + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> NDArray[_SCT]: ... +@overload +def full( + shape: _ShapeLike, + fill_value: Any, + dtype: None | DTypeLike = ..., + order: _OrderCF = ..., + **kwargs: Unpack[_KwargsEmpty], +) -> NDArray[Any]: ... + +@overload +def full_like( + a: _ArrayType, + fill_value: Any, + dtype: None = ..., + order: _OrderKACF = ..., + subok: L[True] = ..., + shape: None = ..., + *, + device: None | L["cpu"] = ..., +) -> _ArrayType: ... +@overload +def full_like( + a: _ArrayLike[_SCT], + fill_value: Any, + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike = ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def full_like( + a: object, + fill_value: Any, + dtype: None = ..., + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... +@overload +def full_like( + a: Any, + fill_value: Any, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[_SCT]: ... +@overload +def full_like( + a: Any, + fill_value: Any, + dtype: DTypeLike, + order: _OrderKACF = ..., + subok: bool = ..., + shape: None | _ShapeLike= ..., + *, + device: None | L["cpu"] = ..., +) -> NDArray[Any]: ... + +# +@overload +def count_nonzero(a: ArrayLike, axis: None = None, *, keepdims: L[False] = False) -> int: ... +@overload +def count_nonzero(a: _ScalarLike_co, axis: _ShapeLike | None = None, *, keepdims: L[True]) -> np.intp: ... +@overload +def count_nonzero( + a: NDArray[Any] | _NestedSequence[ArrayLike], axis: _ShapeLike | None = None, *, keepdims: L[True] +) -> NDArray[np.intp]: ... +@overload +def count_nonzero(a: ArrayLike, axis: _ShapeLike | None = None, *, keepdims: bool = False) -> Any: ... + +# +def isfortran(a: NDArray[Any] | generic) -> bool: ... + +def argwhere(a: ArrayLike) -> NDArray[intp]: ... + +def flatnonzero(a: ArrayLike) -> NDArray[intp]: ... + +@overload +def correlate( + a: _ArrayLikeUnknown, + v: _ArrayLikeUnknown, + mode: _CorrelateMode = ..., +) -> NDArray[Any]: ... +@overload +def correlate( + a: _ArrayLikeBool_co, + v: _ArrayLikeBool_co, + mode: _CorrelateMode = ..., +) -> NDArray[np.bool]: ... +@overload +def correlate( + a: _ArrayLikeUInt_co, + v: _ArrayLikeUInt_co, + mode: _CorrelateMode = ..., +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def correlate( + a: _ArrayLikeInt_co, + v: _ArrayLikeInt_co, + mode: _CorrelateMode = ..., +) -> NDArray[signedinteger[Any]]: ... +@overload +def correlate( + a: _ArrayLikeFloat_co, + v: _ArrayLikeFloat_co, + mode: _CorrelateMode = ..., +) -> NDArray[floating[Any]]: ... +@overload +def correlate( + a: _ArrayLikeComplex_co, + v: _ArrayLikeComplex_co, + mode: _CorrelateMode = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def correlate( + a: _ArrayLikeTD64_co, + v: _ArrayLikeTD64_co, + mode: _CorrelateMode = ..., +) -> NDArray[timedelta64]: ... +@overload +def correlate( + a: _ArrayLikeObject_co, + v: _ArrayLikeObject_co, + mode: _CorrelateMode = ..., +) -> NDArray[object_]: ... + +@overload +def convolve( + a: _ArrayLikeUnknown, + v: _ArrayLikeUnknown, + mode: _CorrelateMode = ..., +) -> NDArray[Any]: ... +@overload +def convolve( + a: _ArrayLikeBool_co, + v: _ArrayLikeBool_co, + mode: _CorrelateMode = ..., +) -> NDArray[np.bool]: ... +@overload +def convolve( + a: _ArrayLikeUInt_co, + v: _ArrayLikeUInt_co, + mode: _CorrelateMode = ..., +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def convolve( + a: _ArrayLikeInt_co, + v: _ArrayLikeInt_co, + mode: _CorrelateMode = ..., +) -> NDArray[signedinteger[Any]]: ... +@overload +def convolve( + a: _ArrayLikeFloat_co, + v: _ArrayLikeFloat_co, + mode: _CorrelateMode = ..., +) -> NDArray[floating[Any]]: ... +@overload +def convolve( + a: _ArrayLikeComplex_co, + v: _ArrayLikeComplex_co, + mode: _CorrelateMode = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def convolve( + a: _ArrayLikeTD64_co, + v: _ArrayLikeTD64_co, + mode: _CorrelateMode = ..., +) -> NDArray[timedelta64]: ... +@overload +def convolve( + a: _ArrayLikeObject_co, + v: _ArrayLikeObject_co, + mode: _CorrelateMode = ..., +) -> NDArray[object_]: ... + +@overload +def outer( + a: _ArrayLikeUnknown, + b: _ArrayLikeUnknown, + out: None = ..., +) -> NDArray[Any]: ... +@overload +def outer( + a: _ArrayLikeBool_co, + b: _ArrayLikeBool_co, + out: None = ..., +) -> NDArray[np.bool]: ... +@overload +def outer( + a: _ArrayLikeUInt_co, + b: _ArrayLikeUInt_co, + out: None = ..., +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def outer( + a: _ArrayLikeInt_co, + b: _ArrayLikeInt_co, + out: None = ..., +) -> NDArray[signedinteger[Any]]: ... +@overload +def outer( + a: _ArrayLikeFloat_co, + b: _ArrayLikeFloat_co, + out: None = ..., +) -> NDArray[floating[Any]]: ... +@overload +def outer( + a: _ArrayLikeComplex_co, + b: _ArrayLikeComplex_co, + out: None = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def outer( + a: _ArrayLikeTD64_co, + b: _ArrayLikeTD64_co, + out: None = ..., +) -> NDArray[timedelta64]: ... +@overload +def outer( + a: _ArrayLikeObject_co, + b: _ArrayLikeObject_co, + out: None = ..., +) -> NDArray[object_]: ... +@overload +def outer( + a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co, + b: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co, + out: _ArrayType, +) -> _ArrayType: ... + +@overload +def tensordot( + a: _ArrayLikeUnknown, + b: _ArrayLikeUnknown, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[Any]: ... +@overload +def tensordot( + a: _ArrayLikeBool_co, + b: _ArrayLikeBool_co, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[np.bool]: ... +@overload +def tensordot( + a: _ArrayLikeUInt_co, + b: _ArrayLikeUInt_co, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def tensordot( + a: _ArrayLikeInt_co, + b: _ArrayLikeInt_co, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[signedinteger[Any]]: ... +@overload +def tensordot( + a: _ArrayLikeFloat_co, + b: _ArrayLikeFloat_co, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[floating[Any]]: ... +@overload +def tensordot( + a: _ArrayLikeComplex_co, + b: _ArrayLikeComplex_co, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def tensordot( + a: _ArrayLikeTD64_co, + b: _ArrayLikeTD64_co, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[timedelta64]: ... +@overload +def tensordot( + a: _ArrayLikeObject_co, + b: _ArrayLikeObject_co, + axes: int | tuple[_ShapeLike, _ShapeLike] = ..., +) -> NDArray[object_]: ... + +@overload +def roll( + a: _ArrayLike[_SCT], + shift: _ShapeLike, + axis: None | _ShapeLike = ..., +) -> NDArray[_SCT]: ... +@overload +def roll( + a: ArrayLike, + shift: _ShapeLike, + axis: None | _ShapeLike = ..., +) -> NDArray[Any]: ... + +def rollaxis( + a: NDArray[_SCT], + axis: int, + start: int = ..., +) -> NDArray[_SCT]: ... + +def moveaxis( + a: NDArray[_SCT], + source: _ShapeLike, + destination: _ShapeLike, +) -> NDArray[_SCT]: ... + +@overload +def cross( + a: _ArrayLikeUnknown, + b: _ArrayLikeUnknown, + axisa: int = ..., + axisb: int = ..., + axisc: int = ..., + axis: None | int = ..., +) -> NDArray[Any]: ... +@overload +def cross( + a: _ArrayLikeBool_co, + b: _ArrayLikeBool_co, + axisa: int = ..., + axisb: int = ..., + axisc: int = ..., + axis: None | int = ..., +) -> NoReturn: ... +@overload +def cross( + a: _ArrayLikeUInt_co, + b: _ArrayLikeUInt_co, + axisa: int = ..., + axisb: int = ..., + axisc: int = ..., + axis: None | int = ..., +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def cross( + a: _ArrayLikeInt_co, + b: _ArrayLikeInt_co, + axisa: int = ..., + axisb: int = ..., + axisc: int = ..., + axis: None | int = ..., +) -> NDArray[signedinteger[Any]]: ... +@overload +def cross( + a: _ArrayLikeFloat_co, + b: _ArrayLikeFloat_co, + axisa: int = ..., + axisb: int = ..., + axisc: int = ..., + axis: None | int = ..., +) -> NDArray[floating[Any]]: ... +@overload +def cross( + a: _ArrayLikeComplex_co, + b: _ArrayLikeComplex_co, + axisa: int = ..., + axisb: int = ..., + axisc: int = ..., + axis: None | int = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def cross( + a: _ArrayLikeObject_co, + b: _ArrayLikeObject_co, + axisa: int = ..., + axisb: int = ..., + axisc: int = ..., + axis: None | int = ..., +) -> NDArray[object_]: ... + +@overload +def indices( + dimensions: Sequence[int], + dtype: type[int] = ..., + sparse: L[False] = ..., +) -> NDArray[int_]: ... +@overload +def indices( + dimensions: Sequence[int], + dtype: type[int] = ..., + sparse: L[True] = ..., +) -> tuple[NDArray[int_], ...]: ... +@overload +def indices( + dimensions: Sequence[int], + dtype: _DTypeLike[_SCT], + sparse: L[False] = ..., +) -> NDArray[_SCT]: ... +@overload +def indices( + dimensions: Sequence[int], + dtype: _DTypeLike[_SCT], + sparse: L[True], +) -> tuple[NDArray[_SCT], ...]: ... +@overload +def indices( + dimensions: Sequence[int], + dtype: DTypeLike, + sparse: L[False] = ..., +) -> NDArray[Any]: ... +@overload +def indices( + dimensions: Sequence[int], + dtype: DTypeLike, + sparse: L[True], +) -> tuple[NDArray[Any], ...]: ... + +def fromfunction( + function: Callable[..., _T], + shape: Sequence[int], + *, + dtype: DTypeLike = ..., + like: _SupportsArrayFunc = ..., + **kwargs: Any, +) -> _T: ... + +def isscalar(element: object) -> TypeGuard[ + generic | bool | int | float | complex | str | bytes | memoryview +]: ... + +def binary_repr(num: SupportsIndex, width: None | int = ...) -> str: ... + +def base_repr( + number: SupportsAbs[float], + base: float = ..., + padding: SupportsIndex = ..., +) -> str: ... + +@overload +def identity( + n: int, + dtype: None = ..., + *, + like: _SupportsArrayFunc = ..., +) -> NDArray[float64]: ... +@overload +def identity( + n: int, + dtype: _DTypeLike[_SCT], + *, + like: _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def identity( + n: int, + dtype: DTypeLike, + *, + like: _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +def allclose( + a: ArrayLike, + b: ArrayLike, + rtol: ArrayLike = ..., + atol: ArrayLike = ..., + equal_nan: bool = ..., +) -> bool: ... + +@overload +def isclose( + a: _ScalarLike_co, + b: _ScalarLike_co, + rtol: ArrayLike = ..., + atol: ArrayLike = ..., + equal_nan: bool = ..., +) -> np.bool: ... +@overload +def isclose( + a: ArrayLike, + b: ArrayLike, + rtol: ArrayLike = ..., + atol: ArrayLike = ..., + equal_nan: bool = ..., +) -> NDArray[np.bool]: ... + +def array_equal(a1: ArrayLike, a2: ArrayLike, equal_nan: bool = ...) -> bool: ... + +def array_equiv(a1: ArrayLike, a2: ArrayLike) -> bool: ... + +@overload +def astype( + x: ndarray[_ShapeType, dtype[Any]], + dtype: _DTypeLike[_SCT], + /, + *, + copy: bool = ..., + device: None | L["cpu"] = ..., +) -> ndarray[_ShapeType, dtype[_SCT]]: ... +@overload +def astype( + x: ndarray[_ShapeType, dtype[Any]], + dtype: DTypeLike, + /, + *, + copy: bool = ..., + device: None | L["cpu"] = ..., +) -> ndarray[_ShapeType, dtype[Any]]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numerictypes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numerictypes.py new file mode 100644 index 0000000000000000000000000000000000000000..70bba5b9c515d47ca771b82ae6aaedd001b1c539 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numerictypes.py @@ -0,0 +1,629 @@ +""" +numerictypes: Define the numeric type objects + +This module is designed so "from numerictypes import \\*" is safe. +Exported symbols include: + + Dictionary with all registered number types (including aliases): + sctypeDict + + Type objects (not all will be available, depends on platform): + see variable sctypes for which ones you have + + Bit-width names + + int8 int16 int32 int64 int128 + uint8 uint16 uint32 uint64 uint128 + float16 float32 float64 float96 float128 float256 + complex32 complex64 complex128 complex192 complex256 complex512 + datetime64 timedelta64 + + c-based names + + bool + + object_ + + void, str_ + + byte, ubyte, + short, ushort + intc, uintc, + intp, uintp, + int_, uint, + longlong, ulonglong, + + single, csingle, + double, cdouble, + longdouble, clongdouble, + + As part of the type-hierarchy: xx -- is bit-width + + generic + +-> bool (kind=b) + +-> number + | +-> integer + | | +-> signedinteger (intxx) (kind=i) + | | | byte + | | | short + | | | intc + | | | intp + | | | int_ + | | | longlong + | | \\-> unsignedinteger (uintxx) (kind=u) + | | ubyte + | | ushort + | | uintc + | | uintp + | | uint + | | ulonglong + | +-> inexact + | +-> floating (floatxx) (kind=f) + | | half + | | single + | | double + | | longdouble + | \\-> complexfloating (complexxx) (kind=c) + | csingle + | cdouble + | clongdouble + +-> flexible + | +-> character + | | bytes_ (kind=S) + | | str_ (kind=U) + | | + | \\-> void (kind=V) + \\-> object_ (not used much) (kind=O) + +""" +import numbers +import warnings + +from . import multiarray as ma +from .multiarray import ( + ndarray, dtype, datetime_data, datetime_as_string, + busday_offset, busday_count, is_busday, busdaycalendar + ) +from .._utils import set_module + +# we add more at the bottom +__all__ = [ + 'ScalarType', 'typecodes', 'issubdtype', 'datetime_data', + 'datetime_as_string', 'busday_offset', 'busday_count', + 'is_busday', 'busdaycalendar', 'isdtype' +] + +# we don't need all these imports, but we need to keep them for compatibility +# for users using np._core.numerictypes.UPPER_TABLE +from ._string_helpers import ( # noqa: F401 + english_lower, english_upper, english_capitalize, LOWER_TABLE, UPPER_TABLE +) + +from ._type_aliases import ( + sctypeDict, allTypes, sctypes +) +from ._dtype import _kind_name + +# we don't export these for import *, but we do want them accessible +# as numerictypes.bool, etc. +from builtins import bool, int, float, complex, object, str, bytes # noqa: F401, UP029 + + +# We use this later +generic = allTypes['generic'] + +genericTypeRank = ['bool', 'int8', 'uint8', 'int16', 'uint16', + 'int32', 'uint32', 'int64', 'uint64', 'int128', + 'uint128', 'float16', + 'float32', 'float64', 'float80', 'float96', 'float128', + 'float256', + 'complex32', 'complex64', 'complex128', 'complex160', + 'complex192', 'complex256', 'complex512', 'object'] + +@set_module('numpy') +def maximum_sctype(t): + """ + Return the scalar type of highest precision of the same kind as the input. + + .. deprecated:: 2.0 + Use an explicit dtype like int64 or float64 instead. + + Parameters + ---------- + t : dtype or dtype specifier + The input data type. This can be a `dtype` object or an object that + is convertible to a `dtype`. + + Returns + ------- + out : dtype + The highest precision data type of the same kind (`dtype.kind`) as `t`. + + See Also + -------- + obj2sctype, mintypecode, sctype2char + dtype + + Examples + -------- + >>> from numpy._core.numerictypes import maximum_sctype + >>> maximum_sctype(int) + + >>> maximum_sctype(np.uint8) + + >>> maximum_sctype(complex) + # may vary + + >>> maximum_sctype(str) + + + >>> maximum_sctype('i2') + + >>> maximum_sctype('f4') + # may vary + + """ + + # Deprecated in NumPy 2.0, 2023-07-11 + warnings.warn( + "`maximum_sctype` is deprecated. Use an explicit dtype like int64 " + "or float64 instead. (deprecated in NumPy 2.0)", + DeprecationWarning, + stacklevel=2 + ) + + g = obj2sctype(t) + if g is None: + return t + t = g + base = _kind_name(dtype(t)) + if base in sctypes: + return sctypes[base][-1] + else: + return t + + +@set_module('numpy') +def issctype(rep): + """ + Determines whether the given object represents a scalar data-type. + + Parameters + ---------- + rep : any + If `rep` is an instance of a scalar dtype, True is returned. If not, + False is returned. + + Returns + ------- + out : bool + Boolean result of check whether `rep` is a scalar dtype. + + See Also + -------- + issubsctype, issubdtype, obj2sctype, sctype2char + + Examples + -------- + >>> from numpy._core.numerictypes import issctype + >>> issctype(np.int32) + True + >>> issctype(list) + False + >>> issctype(1.1) + False + + Strings are also a scalar type: + + >>> issctype(np.dtype('str')) + True + + """ + if not isinstance(rep, (type, dtype)): + return False + try: + res = obj2sctype(rep) + if res and res != object_: + return True + else: + return False + except Exception: + return False + + +@set_module('numpy') +def obj2sctype(rep, default=None): + """ + Return the scalar dtype or NumPy equivalent of Python type of an object. + + Parameters + ---------- + rep : any + The object of which the type is returned. + default : any, optional + If given, this is returned for objects whose types can not be + determined. If not given, None is returned for those objects. + + Returns + ------- + dtype : dtype or Python type + The data type of `rep`. + + See Also + -------- + sctype2char, issctype, issubsctype, issubdtype + + Examples + -------- + >>> from numpy._core.numerictypes import obj2sctype + >>> obj2sctype(np.int32) + + >>> obj2sctype(np.array([1., 2.])) + + >>> obj2sctype(np.array([1.j])) + + + >>> obj2sctype(dict) + + >>> obj2sctype('string') + + >>> obj2sctype(1, default=list) + + + """ + # prevent abstract classes being upcast + if isinstance(rep, type) and issubclass(rep, generic): + return rep + # extract dtype from arrays + if isinstance(rep, ndarray): + return rep.dtype.type + # fall back on dtype to convert + try: + res = dtype(rep) + except Exception: + return default + else: + return res.type + + +@set_module('numpy') +def issubclass_(arg1, arg2): + """ + Determine if a class is a subclass of a second class. + + `issubclass_` is equivalent to the Python built-in ``issubclass``, + except that it returns False instead of raising a TypeError if one + of the arguments is not a class. + + Parameters + ---------- + arg1 : class + Input class. True is returned if `arg1` is a subclass of `arg2`. + arg2 : class or tuple of classes. + Input class. If a tuple of classes, True is returned if `arg1` is a + subclass of any of the tuple elements. + + Returns + ------- + out : bool + Whether `arg1` is a subclass of `arg2` or not. + + See Also + -------- + issubsctype, issubdtype, issctype + + Examples + -------- + >>> np.issubclass_(np.int32, int) + False + >>> np.issubclass_(np.int32, float) + False + >>> np.issubclass_(np.float64, float) + True + + """ + try: + return issubclass(arg1, arg2) + except TypeError: + return False + + +@set_module('numpy') +def issubsctype(arg1, arg2): + """ + Determine if the first argument is a subclass of the second argument. + + Parameters + ---------- + arg1, arg2 : dtype or dtype specifier + Data-types. + + Returns + ------- + out : bool + The result. + + See Also + -------- + issctype, issubdtype, obj2sctype + + Examples + -------- + >>> from numpy._core import issubsctype + >>> issubsctype('S8', str) + False + >>> issubsctype(np.array([1]), int) + True + >>> issubsctype(np.array([1]), float) + False + + """ + return issubclass(obj2sctype(arg1), obj2sctype(arg2)) + + +class _PreprocessDTypeError(Exception): + pass + + +def _preprocess_dtype(dtype): + """ + Preprocess dtype argument by: + 1. fetching type from a data type + 2. verifying that types are built-in NumPy dtypes + """ + if isinstance(dtype, ma.dtype): + dtype = dtype.type + if isinstance(dtype, ndarray) or dtype not in allTypes.values(): + raise _PreprocessDTypeError + return dtype + + +@set_module('numpy') +def isdtype(dtype, kind): + """ + Determine if a provided dtype is of a specified data type ``kind``. + + This function only supports built-in NumPy's data types. + Third-party dtypes are not yet supported. + + Parameters + ---------- + dtype : dtype + The input dtype. + kind : dtype or str or tuple of dtypes/strs. + dtype or dtype kind. Allowed dtype kinds are: + * ``'bool'`` : boolean kind + * ``'signed integer'`` : signed integer data types + * ``'unsigned integer'`` : unsigned integer data types + * ``'integral'`` : integer data types + * ``'real floating'`` : real-valued floating-point data types + * ``'complex floating'`` : complex floating-point data types + * ``'numeric'`` : numeric data types + + Returns + ------- + out : bool + + See Also + -------- + issubdtype + + Examples + -------- + >>> import numpy as np + >>> np.isdtype(np.float32, np.float64) + False + >>> np.isdtype(np.float32, "real floating") + True + >>> np.isdtype(np.complex128, ("real floating", "complex floating")) + True + + """ + try: + dtype = _preprocess_dtype(dtype) + except _PreprocessDTypeError: + raise TypeError( + "dtype argument must be a NumPy dtype, " + f"but it is a {type(dtype)}." + ) from None + + input_kinds = kind if isinstance(kind, tuple) else (kind,) + + processed_kinds = set() + + for kind in input_kinds: + if kind == "bool": + processed_kinds.add(allTypes["bool"]) + elif kind == "signed integer": + processed_kinds.update(sctypes["int"]) + elif kind == "unsigned integer": + processed_kinds.update(sctypes["uint"]) + elif kind == "integral": + processed_kinds.update(sctypes["int"] + sctypes["uint"]) + elif kind == "real floating": + processed_kinds.update(sctypes["float"]) + elif kind == "complex floating": + processed_kinds.update(sctypes["complex"]) + elif kind == "numeric": + processed_kinds.update( + sctypes["int"] + sctypes["uint"] + + sctypes["float"] + sctypes["complex"] + ) + elif isinstance(kind, str): + raise ValueError( + "kind argument is a string, but" + f" {kind!r} is not a known kind name." + ) + else: + try: + kind = _preprocess_dtype(kind) + except _PreprocessDTypeError: + raise TypeError( + "kind argument must be comprised of " + "NumPy dtypes or strings only, " + f"but is a {type(kind)}." + ) from None + processed_kinds.add(kind) + + return dtype in processed_kinds + + +@set_module('numpy') +def issubdtype(arg1, arg2): + r""" + Returns True if first argument is a typecode lower/equal in type hierarchy. + + This is like the builtin :func:`issubclass`, but for `dtype`\ s. + + Parameters + ---------- + arg1, arg2 : dtype_like + `dtype` or object coercible to one + + Returns + ------- + out : bool + + See Also + -------- + :ref:`arrays.scalars` : Overview of the numpy type hierarchy. + + Examples + -------- + `issubdtype` can be used to check the type of arrays: + + >>> ints = np.array([1, 2, 3], dtype=np.int32) + >>> np.issubdtype(ints.dtype, np.integer) + True + >>> np.issubdtype(ints.dtype, np.floating) + False + + >>> floats = np.array([1, 2, 3], dtype=np.float32) + >>> np.issubdtype(floats.dtype, np.integer) + False + >>> np.issubdtype(floats.dtype, np.floating) + True + + Similar types of different sizes are not subdtypes of each other: + + >>> np.issubdtype(np.float64, np.float32) + False + >>> np.issubdtype(np.float32, np.float64) + False + + but both are subtypes of `floating`: + + >>> np.issubdtype(np.float64, np.floating) + True + >>> np.issubdtype(np.float32, np.floating) + True + + For convenience, dtype-like objects are allowed too: + + >>> np.issubdtype('S1', np.bytes_) + True + >>> np.issubdtype('i4', np.signedinteger) + True + + """ + if not issubclass_(arg1, generic): + arg1 = dtype(arg1).type + if not issubclass_(arg2, generic): + arg2 = dtype(arg2).type + + return issubclass(arg1, arg2) + + +@set_module('numpy') +def sctype2char(sctype): + """ + Return the string representation of a scalar dtype. + + Parameters + ---------- + sctype : scalar dtype or object + If a scalar dtype, the corresponding string character is + returned. If an object, `sctype2char` tries to infer its scalar type + and then return the corresponding string character. + + Returns + ------- + typechar : str + The string character corresponding to the scalar type. + + Raises + ------ + ValueError + If `sctype` is an object for which the type can not be inferred. + + See Also + -------- + obj2sctype, issctype, issubsctype, mintypecode + + Examples + -------- + >>> from numpy._core.numerictypes import sctype2char + >>> for sctype in [np.int32, np.double, np.cdouble, np.bytes_, np.ndarray]: + ... print(sctype2char(sctype)) + l # may vary + d + D + S + O + + >>> x = np.array([1., 2-1.j]) + >>> sctype2char(x) + 'D' + >>> sctype2char(list) + 'O' + + """ + sctype = obj2sctype(sctype) + if sctype is None: + raise ValueError("unrecognized type") + if sctype not in sctypeDict.values(): + # for compatibility + raise KeyError(sctype) + return dtype(sctype).char + + +def _scalar_type_key(typ): + """A ``key`` function for `sorted`.""" + dt = dtype(typ) + return (dt.kind.lower(), dt.itemsize) + + +ScalarType = [int, float, complex, bool, bytes, str, memoryview] +ScalarType += sorted(set(sctypeDict.values()), key=_scalar_type_key) +ScalarType = tuple(ScalarType) + + +# Now add the types we've determined to this module +for key in allTypes: + globals()[key] = allTypes[key] + __all__.append(key) + +del key + +typecodes = {'Character': 'c', + 'Integer': 'bhilqnp', + 'UnsignedInteger': 'BHILQNP', + 'Float': 'efdg', + 'Complex': 'FDG', + 'AllInteger': 'bBhHiIlLqQnNpP', + 'AllFloat': 'efdgFDG', + 'Datetime': 'Mm', + 'All': '?bhilqnpBHILQNPefdgFDGSUVOMm'} + +# backwards compatibility --- deprecated name +# Formal deprecation: Numpy 1.20.0, 2020-10-19 (see numpy/__init__.py) +typeDict = sctypeDict + +def _register_types(): + numbers.Integral.register(integer) + numbers.Complex.register(inexact) + numbers.Real.register(floating) + numbers.Number.register(number) + + +_register_types() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numerictypes.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numerictypes.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ace5913f0f84ddebecbec169d4585474be107bc4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/numerictypes.pyi @@ -0,0 +1,217 @@ +import builtins +from typing import ( + Any, + Literal as L, + TypedDict, + type_check_only, +) + +import numpy as np +from numpy import ( + dtype, + generic, + bool, + bool_, + uint8, + uint16, + uint32, + uint64, + ubyte, + ushort, + uintc, + ulong, + ulonglong, + uintp, + uint, + int8, + int16, + int32, + int64, + byte, + short, + intc, + long, + longlong, + intp, + int_, + float16, + float32, + float64, + half, + single, + double, + longdouble, + complex64, + complex128, + csingle, + cdouble, + clongdouble, + datetime64, + timedelta64, + object_, + str_, + bytes_, + void, + unsignedinteger, + character, + inexact, + number, + integer, + flexible, + complexfloating, + signedinteger, + floating, +) +from ._type_aliases import sctypeDict # noqa: F401 +from .multiarray import ( + busday_count, + busday_offset, + busdaycalendar, + datetime_as_string, + datetime_data, + is_busday, +) + +from numpy._typing import DTypeLike +from numpy._typing._extended_precision import ( + uint128, + uint256, + int128, + int256, + float80, + float96, + float128, + float256, + complex160, + complex192, + complex256, + complex512, +) + +__all__ = [ + "ScalarType", + "typecodes", + "issubdtype", + "datetime_data", + "datetime_as_string", + "busday_offset", + "busday_count", + "is_busday", + "busdaycalendar", + "isdtype", + "generic", + "unsignedinteger", + "character", + "inexact", + "number", + "integer", + "flexible", + "complexfloating", + "signedinteger", + "floating", + "bool", + "float16", + "float32", + "float64", + "longdouble", + "complex64", + "complex128", + "clongdouble", + "bytes_", + "str_", + "void", + "object_", + "datetime64", + "timedelta64", + "int8", + "byte", + "uint8", + "ubyte", + "int16", + "short", + "uint16", + "ushort", + "int32", + "intc", + "uint32", + "uintc", + "int64", + "long", + "uint64", + "ulong", + "longlong", + "ulonglong", + "intp", + "uintp", + "double", + "cdouble", + "single", + "csingle", + "half", + "bool_", + "int_", + "uint", + "uint128", + "uint256", + "int128", + "int256", + "float80", + "float96", + "float128", + "float256", + "complex160", + "complex192", + "complex256", + "complex512", +] + +@type_check_only +class _TypeCodes(TypedDict): + Character: L['c'] + Integer: L['bhilqnp'] + UnsignedInteger: L['BHILQNP'] + Float: L['efdg'] + Complex: L['FDG'] + AllInteger: L['bBhHiIlLqQnNpP'] + AllFloat: L['efdgFDG'] + Datetime: L['Mm'] + All: L['?bhilqnpBHILQNPefdgFDGSUVOMm'] + +def isdtype(dtype: dtype[Any] | type[Any], kind: DTypeLike | tuple[DTypeLike, ...]) -> builtins.bool: ... + +def issubdtype(arg1: DTypeLike, arg2: DTypeLike) -> builtins.bool: ... + +typecodes: _TypeCodes +ScalarType: tuple[ + type[int], + type[float], + type[complex], + type[builtins.bool], + type[bytes], + type[str], + type[memoryview], + type[np.bool], + type[csingle], + type[cdouble], + type[clongdouble], + type[half], + type[single], + type[double], + type[longdouble], + type[byte], + type[short], + type[intc], + type[long], + type[longlong], + type[timedelta64], + type[datetime64], + type[object_], + type[bytes_], + type[str_], + type[ubyte], + type[ushort], + type[uintc], + type[ulong], + type[ulonglong], + type[void], +] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/overrides.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/overrides.py new file mode 100644 index 0000000000000000000000000000000000000000..cb466408cd39a9d9b558d7da4a95849077f01832 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/overrides.py @@ -0,0 +1,181 @@ +"""Implementation of __array_function__ overrides from NEP-18.""" +import collections +import functools + +from .._utils import set_module +from .._utils._inspect import getargspec +from numpy._core._multiarray_umath import ( + add_docstring, _get_implementing_args, _ArrayFunctionDispatcher) + + +ARRAY_FUNCTIONS = set() + +array_function_like_doc = ( + """like : array_like, optional + Reference object to allow the creation of arrays which are not + NumPy arrays. If an array-like passed in as ``like`` supports + the ``__array_function__`` protocol, the result will be defined + by it. In this case, it ensures the creation of an array object + compatible with that passed in via this argument.""" +) + +def get_array_function_like_doc(public_api, docstring_template=""): + ARRAY_FUNCTIONS.add(public_api) + docstring = public_api.__doc__ or docstring_template + return docstring.replace("${ARRAY_FUNCTION_LIKE}", array_function_like_doc) + +def finalize_array_function_like(public_api): + public_api.__doc__ = get_array_function_like_doc(public_api) + return public_api + + +add_docstring( + _ArrayFunctionDispatcher, + """ + Class to wrap functions with checks for __array_function__ overrides. + + All arguments are required, and can only be passed by position. + + Parameters + ---------- + dispatcher : function or None + The dispatcher function that returns a single sequence-like object + of all arguments relevant. It must have the same signature (except + the default values) as the actual implementation. + If ``None``, this is a ``like=`` dispatcher and the + ``_ArrayFunctionDispatcher`` must be called with ``like`` as the + first (additional and positional) argument. + implementation : function + Function that implements the operation on NumPy arrays without + overrides. Arguments passed calling the ``_ArrayFunctionDispatcher`` + will be forwarded to this (and the ``dispatcher``) as if using + ``*args, **kwargs``. + + Attributes + ---------- + _implementation : function + The original implementation passed in. + """) + + +# exposed for testing purposes; used internally by _ArrayFunctionDispatcher +add_docstring( + _get_implementing_args, + """ + Collect arguments on which to call __array_function__. + + Parameters + ---------- + relevant_args : iterable of array-like + Iterable of possibly array-like arguments to check for + __array_function__ methods. + + Returns + ------- + Sequence of arguments with __array_function__ methods, in the order in + which they should be called. + """) + + +ArgSpec = collections.namedtuple('ArgSpec', 'args varargs keywords defaults') + + +def verify_matching_signatures(implementation, dispatcher): + """Verify that a dispatcher function has the right signature.""" + implementation_spec = ArgSpec(*getargspec(implementation)) + dispatcher_spec = ArgSpec(*getargspec(dispatcher)) + + if (implementation_spec.args != dispatcher_spec.args or + implementation_spec.varargs != dispatcher_spec.varargs or + implementation_spec.keywords != dispatcher_spec.keywords or + (bool(implementation_spec.defaults) != + bool(dispatcher_spec.defaults)) or + (implementation_spec.defaults is not None and + len(implementation_spec.defaults) != + len(dispatcher_spec.defaults))): + raise RuntimeError('implementation and dispatcher for %s have ' + 'different function signatures' % implementation) + + if implementation_spec.defaults is not None: + if dispatcher_spec.defaults != (None,) * len(dispatcher_spec.defaults): + raise RuntimeError('dispatcher functions can only use None for ' + 'default argument values') + + +def array_function_dispatch(dispatcher=None, module=None, verify=True, + docs_from_dispatcher=False): + """Decorator for adding dispatch with the __array_function__ protocol. + + See NEP-18 for example usage. + + Parameters + ---------- + dispatcher : callable or None + Function that when called like ``dispatcher(*args, **kwargs)`` with + arguments from the NumPy function call returns an iterable of + array-like arguments to check for ``__array_function__``. + + If `None`, the first argument is used as the single `like=` argument + and not passed on. A function implementing `like=` must call its + dispatcher with `like` as the first non-keyword argument. + module : str, optional + __module__ attribute to set on new function, e.g., ``module='numpy'``. + By default, module is copied from the decorated function. + verify : bool, optional + If True, verify the that the signature of the dispatcher and decorated + function signatures match exactly: all required and optional arguments + should appear in order with the same names, but the default values for + all optional arguments should be ``None``. Only disable verification + if the dispatcher's signature needs to deviate for some particular + reason, e.g., because the function has a signature like + ``func(*args, **kwargs)``. + docs_from_dispatcher : bool, optional + If True, copy docs from the dispatcher function onto the dispatched + function, rather than from the implementation. This is useful for + functions defined in C, which otherwise don't have docstrings. + + Returns + ------- + Function suitable for decorating the implementation of a NumPy function. + + """ + def decorator(implementation): + if verify: + if dispatcher is not None: + verify_matching_signatures(implementation, dispatcher) + else: + # Using __code__ directly similar to verify_matching_signature + co = implementation.__code__ + last_arg = co.co_argcount + co.co_kwonlyargcount - 1 + last_arg = co.co_varnames[last_arg] + if last_arg != "like" or co.co_kwonlyargcount == 0: + raise RuntimeError( + "__array_function__ expects `like=` to be the last " + "argument and a keyword-only argument. " + f"{implementation} does not seem to comply.") + + if docs_from_dispatcher: + add_docstring(implementation, dispatcher.__doc__) + + public_api = _ArrayFunctionDispatcher(dispatcher, implementation) + public_api = functools.wraps(implementation)(public_api) + + if module is not None: + public_api.__module__ = module + + ARRAY_FUNCTIONS.add(public_api) + + return public_api + + return decorator + + +def array_function_from_dispatcher( + implementation, module=None, verify=True, docs_from_dispatcher=True): + """Like array_function_dispatcher, but with function arguments flipped.""" + + def decorator(dispatcher): + return array_function_dispatch( + dispatcher, module, verify=verify, + docs_from_dispatcher=docs_from_dispatcher)(implementation) + return decorator diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/overrides.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/overrides.pyi new file mode 100644 index 0000000000000000000000000000000000000000..9babbcc26a0b2a52a5d42fd49aacf186b5e59c57 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/overrides.pyi @@ -0,0 +1,50 @@ +from collections.abc import Callable, Iterable +from typing import Any, Final, NamedTuple + +from typing_extensions import ParamSpec, TypeVar + +from numpy._typing import _SupportsArrayFunc + +_T = TypeVar("_T") +_Tss = ParamSpec("_Tss") +_FuncT = TypeVar("_FuncT", bound=Callable[..., object]) + +### + +ARRAY_FUNCTIONS: set[Callable[..., Any]] = ... +array_function_like_doc: Final[str] = ... + +class ArgSpec(NamedTuple): + args: list[str] + varargs: str | None + keywords: str | None + defaults: tuple[Any, ...] + +def get_array_function_like_doc(public_api: Callable[..., Any], docstring_template: str = "") -> str: ... +def finalize_array_function_like(public_api: _FuncT) -> _FuncT: ... + +# +def verify_matching_signatures( + implementation: Callable[_Tss, object], + dispatcher: Callable[_Tss, Iterable[_SupportsArrayFunc]], +) -> None: ... + +# NOTE: This actually returns a `_ArrayFunctionDispatcher` callable wrapper object, with +# the original wrapped callable stored in the `._implementation` attribute. It checks +# for any `__array_function__` of the values of specific arguments that the dispatcher +# specifies. Since the dispatcher only returns an iterable of passed array-like args, +# this overridable behaviour is impossible to annotate. +def array_function_dispatch( + dispatcher: Callable[_Tss, Iterable[_SupportsArrayFunc]] | None = None, + module: str | None = None, + verify: bool = True, + docs_from_dispatcher: bool = False, +) -> Callable[[_FuncT], _FuncT]: ... + +# +def array_function_from_dispatcher( + implementation: Callable[_Tss, _T], + module: str | None = None, + verify: bool = True, + docs_from_dispatcher: bool = True, +) -> Callable[[Callable[_Tss, Iterable[_SupportsArrayFunc]]], Callable[_Tss, _T]]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/printoptions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/printoptions.py new file mode 100644 index 0000000000000000000000000000000000000000..7ac93c2290e0e37ffaee3a0dddb32a713a978881 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/printoptions.py @@ -0,0 +1,32 @@ +""" +Stores and defines the low-level format_options context variable. + +This is defined in its own file outside of the arrayprint module +so we can import it from C while initializing the multiarray +C module during import without introducing circular dependencies. +""" + +import sys +from contextvars import ContextVar + +__all__ = ["format_options"] + +default_format_options_dict = { + "edgeitems": 3, # repr N leading and trailing items of each dimension + "threshold": 1000, # total items > triggers array summarization + "floatmode": "maxprec", + "precision": 8, # precision of floating point representations + "suppress": False, # suppress printing small floating values in exp format + "linewidth": 75, + "nanstr": "nan", + "infstr": "inf", + "sign": "-", + "formatter": None, + # Internally stored as an int to simplify comparisons; converted from/to + # str/False on the way in/out. + 'legacy': sys.maxsize, + 'override_repr': None, +} + +format_options = ContextVar( + "format_options", default=default_format_options_dict.copy()) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/printoptions.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/printoptions.pyi new file mode 100644 index 0000000000000000000000000000000000000000..bd7c7b40692d4afb0cb2ab6a8f48b0065cc9c127 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/printoptions.pyi @@ -0,0 +1,28 @@ +from collections.abc import Callable +from contextvars import ContextVar +from typing import Any, Final, TypedDict + +from .arrayprint import _FormatDict + +__all__ = ["format_options"] + +### + +class _FormatOptionsDict(TypedDict): + edgeitems: int + threshold: int + floatmode: str + precision: int + suppress: bool + linewidth: int + nanstr: str + infstr: str + sign: str + formatter: _FormatDict | None + legacy: int + override_repr: Callable[[Any], str] | None + +### + +default_format_options_dict: Final[_FormatOptionsDict] = ... +format_options: ContextVar[_FormatOptionsDict] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/records.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/records.py new file mode 100644 index 0000000000000000000000000000000000000000..90993badc141e05e41556d2f2f0dbef7944d410d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/records.py @@ -0,0 +1,1091 @@ +""" +This module contains a set of functions for record arrays. +""" +import os +import warnings +from collections import Counter +from contextlib import nullcontext + +from .._utils import set_module +from . import numeric as sb +from . import numerictypes as nt +from .arrayprint import _get_legacy_print_mode + +# All of the functions allow formats to be a dtype +__all__ = [ + 'record', 'recarray', 'format_parser', 'fromarrays', 'fromrecords', + 'fromstring', 'fromfile', 'array', 'find_duplicate', +] + + +ndarray = sb.ndarray + +_byteorderconv = {'b': '>', + 'l': '<', + 'n': '=', + 'B': '>', + 'L': '<', + 'N': '=', + 'S': 's', + 's': 's', + '>': '>', + '<': '<', + '=': '=', + '|': '|', + 'I': '|', + 'i': '|'} + +# formats regular expression +# allows multidimensional spec with a tuple syntax in front +# of the letter code '(2,3)f4' and ' ( 2 , 3 ) f4 ' +# are equally allowed + +numfmt = nt.sctypeDict + + +@set_module('numpy.rec') +def find_duplicate(list): + """Find duplication in a list, return a list of duplicated elements""" + return [ + item + for item, counts in Counter(list).items() + if counts > 1 + ] + + +@set_module('numpy.rec') +class format_parser: + """ + Class to convert formats, names, titles description to a dtype. + + After constructing the format_parser object, the dtype attribute is + the converted data-type: + ``dtype = format_parser(formats, names, titles).dtype`` + + Attributes + ---------- + dtype : dtype + The converted data-type. + + Parameters + ---------- + formats : str or list of str + The format description, either specified as a string with + comma-separated format descriptions in the form ``'f8, i4, S5'``, or + a list of format description strings in the form + ``['f8', 'i4', 'S5']``. + names : str or list/tuple of str + The field names, either specified as a comma-separated string in the + form ``'col1, col2, col3'``, or as a list or tuple of strings in the + form ``['col1', 'col2', 'col3']``. + An empty list can be used, in that case default field names + ('f0', 'f1', ...) are used. + titles : sequence + Sequence of title strings. An empty list can be used to leave titles + out. + aligned : bool, optional + If True, align the fields by padding as the C-compiler would. + Default is False. + byteorder : str, optional + If specified, all the fields will be changed to the + provided byte-order. Otherwise, the default byte-order is + used. For all available string specifiers, see `dtype.newbyteorder`. + + See Also + -------- + numpy.dtype, numpy.typename + + Examples + -------- + >>> import numpy as np + >>> np.rec.format_parser(['>> np.rec.format_parser(['f8', 'i4', 'a5'], ['col1', 'col2', 'col3'], + ... []).dtype + dtype([('col1', '>> np.rec.format_parser([' len(titles): + self._titles += [None] * (self._nfields - len(titles)) + + def _createdtype(self, byteorder): + dtype = sb.dtype({ + 'names': self._names, + 'formats': self._f_formats, + 'offsets': self._offsets, + 'titles': self._titles, + }) + if byteorder is not None: + byteorder = _byteorderconv[byteorder[0]] + dtype = dtype.newbyteorder(byteorder) + + self.dtype = dtype + + +class record(nt.void): + """A data-type scalar that allows field access as attribute lookup. + """ + + # manually set name and module so that this class's type shows up + # as numpy.record when printed + __name__ = 'record' + __module__ = 'numpy' + + def __repr__(self): + if _get_legacy_print_mode() <= 113: + return self.__str__() + return super().__repr__() + + def __str__(self): + if _get_legacy_print_mode() <= 113: + return str(self.item()) + return super().__str__() + + def __getattribute__(self, attr): + if attr in ('setfield', 'getfield', 'dtype'): + return nt.void.__getattribute__(self, attr) + try: + return nt.void.__getattribute__(self, attr) + except AttributeError: + pass + fielddict = nt.void.__getattribute__(self, 'dtype').fields + res = fielddict.get(attr, None) + if res: + obj = self.getfield(*res[:2]) + # if it has fields return a record, + # otherwise return the object + try: + dt = obj.dtype + except AttributeError: + #happens if field is Object type + return obj + if dt.names is not None: + return obj.view((self.__class__, obj.dtype)) + return obj + else: + raise AttributeError("'record' object has no " + "attribute '%s'" % attr) + + def __setattr__(self, attr, val): + if attr in ('setfield', 'getfield', 'dtype'): + raise AttributeError("Cannot set '%s' attribute" % attr) + fielddict = nt.void.__getattribute__(self, 'dtype').fields + res = fielddict.get(attr, None) + if res: + return self.setfield(val, *res[:2]) + else: + if getattr(self, attr, None): + return nt.void.__setattr__(self, attr, val) + else: + raise AttributeError("'record' object has no " + "attribute '%s'" % attr) + + def __getitem__(self, indx): + obj = nt.void.__getitem__(self, indx) + + # copy behavior of record.__getattribute__, + if isinstance(obj, nt.void) and obj.dtype.names is not None: + return obj.view((self.__class__, obj.dtype)) + else: + # return a single element + return obj + + def pprint(self): + """Pretty-print all fields.""" + # pretty-print all fields + names = self.dtype.names + maxlen = max(len(name) for name in names) + fmt = '%% %ds: %%s' % maxlen + rows = [fmt % (name, getattr(self, name)) for name in names] + return "\n".join(rows) + +# The recarray is almost identical to a standard array (which supports +# named fields already) The biggest difference is that it can use +# attribute-lookup to find the fields and it is constructed using +# a record. + +# If byteorder is given it forces a particular byteorder on all +# the fields (and any subfields) + + +@set_module("numpy.rec") +class recarray(ndarray): + """Construct an ndarray that allows field access using attributes. + + Arrays may have a data-types containing fields, analogous + to columns in a spread sheet. An example is ``[(x, int), (y, float)]``, + where each entry in the array is a pair of ``(int, float)``. Normally, + these attributes are accessed using dictionary lookups such as ``arr['x']`` + and ``arr['y']``. Record arrays allow the fields to be accessed as members + of the array, using ``arr.x`` and ``arr.y``. + + Parameters + ---------- + shape : tuple + Shape of output array. + dtype : data-type, optional + The desired data-type. By default, the data-type is determined + from `formats`, `names`, `titles`, `aligned` and `byteorder`. + formats : list of data-types, optional + A list containing the data-types for the different columns, e.g. + ``['i4', 'f8', 'i4']``. `formats` does *not* support the new + convention of using types directly, i.e. ``(int, float, int)``. + Note that `formats` must be a list, not a tuple. + Given that `formats` is somewhat limited, we recommend specifying + `dtype` instead. + names : tuple of str, optional + The name of each column, e.g. ``('x', 'y', 'z')``. + buf : buffer, optional + By default, a new array is created of the given shape and data-type. + If `buf` is specified and is an object exposing the buffer interface, + the array will use the memory from the existing buffer. In this case, + the `offset` and `strides` keywords are available. + + Other Parameters + ---------------- + titles : tuple of str, optional + Aliases for column names. For example, if `names` were + ``('x', 'y', 'z')`` and `titles` is + ``('x_coordinate', 'y_coordinate', 'z_coordinate')``, then + ``arr['x']`` is equivalent to both ``arr.x`` and ``arr.x_coordinate``. + byteorder : {'<', '>', '='}, optional + Byte-order for all fields. + aligned : bool, optional + Align the fields in memory as the C-compiler would. + strides : tuple of ints, optional + Buffer (`buf`) is interpreted according to these strides (strides + define how many bytes each array element, row, column, etc. + occupy in memory). + offset : int, optional + Start reading buffer (`buf`) from this offset onwards. + order : {'C', 'F'}, optional + Row-major (C-style) or column-major (Fortran-style) order. + + Returns + ------- + rec : recarray + Empty array of the given shape and type. + + See Also + -------- + numpy.rec.fromrecords : Construct a record array from data. + numpy.record : fundamental data-type for `recarray`. + numpy.rec.format_parser : determine data-type from formats, names, titles. + + Notes + ----- + This constructor can be compared to ``empty``: it creates a new record + array but does not fill it with data. To create a record array from data, + use one of the following methods: + + 1. Create a standard ndarray and convert it to a record array, + using ``arr.view(np.recarray)`` + 2. Use the `buf` keyword. + 3. Use `np.rec.fromrecords`. + + Examples + -------- + Create an array with two fields, ``x`` and ``y``: + + >>> import numpy as np + >>> x = np.array([(1.0, 2), (3.0, 4)], dtype=[('x', '>> x + array([(1., 2), (3., 4)], dtype=[('x', '>> x['x'] + array([1., 3.]) + + View the array as a record array: + + >>> x = x.view(np.recarray) + + >>> x.x + array([1., 3.]) + + >>> x.y + array([2, 4]) + + Create a new, empty record array: + + >>> np.recarray((2,), + ... dtype=[('x', int), ('y', float), ('z', int)]) #doctest: +SKIP + rec.array([(-1073741821, 1.2249118382103472e-301, 24547520), + (3471280, 1.2134086255804012e-316, 0)], + dtype=[('x', ' 0 or self.shape == (0,): + lst = sb.array2string( + self, separator=', ', prefix=prefix, suffix=',') + else: + # show zero-length shape unless it is (0,) + lst = "[], shape=%s" % (repr(self.shape),) + + lf = '\n'+' '*len(prefix) + if _get_legacy_print_mode() <= 113: + lf = ' ' + lf # trailing space + return fmt % (lst, lf, repr_dtype) + + def field(self, attr, val=None): + if isinstance(attr, int): + names = ndarray.__getattribute__(self, 'dtype').names + attr = names[attr] + + fielddict = ndarray.__getattribute__(self, 'dtype').fields + + res = fielddict[attr][:2] + + if val is None: + obj = self.getfield(*res) + if obj.dtype.names is not None: + return obj + return obj.view(ndarray) + else: + return self.setfield(val, *res) + + +def _deprecate_shape_0_as_None(shape): + if shape == 0: + warnings.warn( + "Passing `shape=0` to have the shape be inferred is deprecated, " + "and in future will be equivalent to `shape=(0,)`. To infer " + "the shape and suppress this warning, pass `shape=None` instead.", + FutureWarning, stacklevel=3) + return None + else: + return shape + + +@set_module("numpy.rec") +def fromarrays(arrayList, dtype=None, shape=None, formats=None, + names=None, titles=None, aligned=False, byteorder=None): + """Create a record array from a (flat) list of arrays + + Parameters + ---------- + arrayList : list or tuple + List of array-like objects (such as lists, tuples, + and ndarrays). + dtype : data-type, optional + valid dtype for all arrays + shape : int or tuple of ints, optional + Shape of the resulting array. If not provided, inferred from + ``arrayList[0]``. + formats, names, titles, aligned, byteorder : + If `dtype` is ``None``, these arguments are passed to + `numpy.rec.format_parser` to construct a dtype. See that function for + detailed documentation. + + Returns + ------- + np.recarray + Record array consisting of given arrayList columns. + + Examples + -------- + >>> x1=np.array([1,2,3,4]) + >>> x2=np.array(['a','dd','xyz','12']) + >>> x3=np.array([1.1,2,3,4]) + >>> r = np.rec.fromarrays([x1,x2,x3],names='a,b,c') + >>> print(r[1]) + (2, 'dd', 2.0) # may vary + >>> x1[1]=34 + >>> r.a + array([1, 2, 3, 4]) + + >>> x1 = np.array([1, 2, 3, 4]) + >>> x2 = np.array(['a', 'dd', 'xyz', '12']) + >>> x3 = np.array([1.1, 2, 3,4]) + >>> r = np.rec.fromarrays( + ... [x1, x2, x3], + ... dtype=np.dtype([('a', np.int32), ('b', 'S3'), ('c', np.float32)])) + >>> r + rec.array([(1, b'a', 1.1), (2, b'dd', 2. ), (3, b'xyz', 3. ), + (4, b'12', 4. )], + dtype=[('a', ' 0: + shape = shape[:-nn] + + _array = recarray(shape, descr) + + # populate the record array (makes a copy) + for k, obj in enumerate(arrayList): + nn = descr[k].ndim + testshape = obj.shape[:obj.ndim - nn] + name = _names[k] + if testshape != shape: + raise ValueError(f'array-shape mismatch in array {k} ("{name}")') + + _array[name] = obj + + return _array + + +@set_module("numpy.rec") +def fromrecords(recList, dtype=None, shape=None, formats=None, names=None, + titles=None, aligned=False, byteorder=None): + """Create a recarray from a list of records in text form. + + Parameters + ---------- + recList : sequence + data in the same field may be heterogeneous - they will be promoted + to the highest data type. + dtype : data-type, optional + valid dtype for all arrays + shape : int or tuple of ints, optional + shape of each array. + formats, names, titles, aligned, byteorder : + If `dtype` is ``None``, these arguments are passed to + `numpy.format_parser` to construct a dtype. See that function for + detailed documentation. + + If both `formats` and `dtype` are None, then this will auto-detect + formats. Use list of tuples rather than list of lists for faster + processing. + + Returns + ------- + np.recarray + record array consisting of given recList rows. + + Examples + -------- + >>> r=np.rec.fromrecords([(456,'dbe',1.2),(2,'de',1.3)], + ... names='col1,col2,col3') + >>> print(r[0]) + (456, 'dbe', 1.2) + >>> r.col1 + array([456, 2]) + >>> r.col2 + array(['dbe', 'de'], dtype='>> import pickle + >>> pickle.loads(pickle.dumps(r)) + rec.array([(456, 'dbe', 1.2), ( 2, 'de', 1.3)], + dtype=[('col1', ' 1: + raise ValueError("Can only deal with 1-d array.") + _array = recarray(shape, descr) + for k in range(_array.size): + _array[k] = tuple(recList[k]) + # list of lists instead of list of tuples ? + # 2018-02-07, 1.14.1 + warnings.warn( + "fromrecords expected a list of tuples, may have received a list " + "of lists instead. In the future that will raise an error", + FutureWarning, stacklevel=2) + return _array + else: + if shape is not None and retval.shape != shape: + retval.shape = shape + + res = retval.view(recarray) + + return res + + +@set_module("numpy.rec") +def fromstring(datastring, dtype=None, shape=None, offset=0, formats=None, + names=None, titles=None, aligned=False, byteorder=None): + r"""Create a record array from binary data + + Note that despite the name of this function it does not accept `str` + instances. + + Parameters + ---------- + datastring : bytes-like + Buffer of binary data + dtype : data-type, optional + Valid dtype for all arrays + shape : int or tuple of ints, optional + Shape of each array. + offset : int, optional + Position in the buffer to start reading from. + formats, names, titles, aligned, byteorder : + If `dtype` is ``None``, these arguments are passed to + `numpy.format_parser` to construct a dtype. See that function for + detailed documentation. + + + Returns + ------- + np.recarray + Record array view into the data in datastring. This will be readonly + if `datastring` is readonly. + + See Also + -------- + numpy.frombuffer + + Examples + -------- + >>> a = b'\x01\x02\x03abc' + >>> np.rec.fromstring(a, dtype='u1,u1,u1,S3') + rec.array([(1, 2, 3, b'abc')], + dtype=[('f0', 'u1'), ('f1', 'u1'), ('f2', 'u1'), ('f3', 'S3')]) + + >>> grades_dtype = [('Name', (np.str_, 10)), ('Marks', np.float64), + ... ('GradeLevel', np.int32)] + >>> grades_array = np.array([('Sam', 33.3, 3), ('Mike', 44.4, 5), + ... ('Aadi', 66.6, 6)], dtype=grades_dtype) + >>> np.rec.fromstring(grades_array.tobytes(), dtype=grades_dtype) + rec.array([('Sam', 33.3, 3), ('Mike', 44.4, 5), ('Aadi', 66.6, 6)], + dtype=[('Name', '>> s = '\x01\x02\x03abc' + >>> np.rec.fromstring(s, dtype='u1,u1,u1,S3') + Traceback (most recent call last): + ... + TypeError: a bytes-like object is required, not 'str' + """ + + if dtype is None and formats is None: + raise TypeError("fromstring() needs a 'dtype' or 'formats' argument") + + if dtype is not None: + descr = sb.dtype(dtype) + else: + descr = format_parser(formats, names, titles, aligned, byteorder).dtype + + itemsize = descr.itemsize + + # NumPy 1.19.0, 2020-01-01 + shape = _deprecate_shape_0_as_None(shape) + + if shape in (None, -1): + shape = (len(datastring) - offset) // itemsize + + _array = recarray(shape, descr, buf=datastring, offset=offset) + return _array + +def get_remaining_size(fd): + pos = fd.tell() + try: + fd.seek(0, 2) + return fd.tell() - pos + finally: + fd.seek(pos, 0) + + +@set_module("numpy.rec") +def fromfile(fd, dtype=None, shape=None, offset=0, formats=None, + names=None, titles=None, aligned=False, byteorder=None): + """Create an array from binary file data + + Parameters + ---------- + fd : str or file type + If file is a string or a path-like object then that file is opened, + else it is assumed to be a file object. The file object must + support random access (i.e. it must have tell and seek methods). + dtype : data-type, optional + valid dtype for all arrays + shape : int or tuple of ints, optional + shape of each array. + offset : int, optional + Position in the file to start reading from. + formats, names, titles, aligned, byteorder : + If `dtype` is ``None``, these arguments are passed to + `numpy.format_parser` to construct a dtype. See that function for + detailed documentation + + Returns + ------- + np.recarray + record array consisting of data enclosed in file. + + Examples + -------- + >>> from tempfile import TemporaryFile + >>> a = np.empty(10,dtype='f8,i4,a5') + >>> a[5] = (0.5,10,'abcde') + >>> + >>> fd=TemporaryFile() + >>> a = a.view(a.dtype.newbyteorder('<')) + >>> a.tofile(fd) + >>> + >>> _ = fd.seek(0) + >>> r=np.rec.fromfile(fd, formats='f8,i4,a5', shape=10, + ... byteorder='<') + >>> print(r[5]) + (0.5, 10, b'abcde') + >>> r.shape + (10,) + """ + + if dtype is None and formats is None: + raise TypeError("fromfile() needs a 'dtype' or 'formats' argument") + + # NumPy 1.19.0, 2020-01-01 + shape = _deprecate_shape_0_as_None(shape) + + if shape is None: + shape = (-1,) + elif isinstance(shape, int): + shape = (shape,) + + if hasattr(fd, 'readinto'): + # GH issue 2504. fd supports io.RawIOBase or io.BufferedIOBase + # interface. Example of fd: gzip, BytesIO, BufferedReader + # file already opened + ctx = nullcontext(fd) + else: + # open file + ctx = open(os.fspath(fd), 'rb') + + with ctx as fd: + if offset > 0: + fd.seek(offset, 1) + size = get_remaining_size(fd) + + if dtype is not None: + descr = sb.dtype(dtype) + else: + descr = format_parser( + formats, names, titles, aligned, byteorder + ).dtype + + itemsize = descr.itemsize + + shapeprod = sb.array(shape).prod(dtype=nt.intp) + shapesize = shapeprod * itemsize + if shapesize < 0: + shape = list(shape) + shape[shape.index(-1)] = size // -shapesize + shape = tuple(shape) + shapeprod = sb.array(shape).prod(dtype=nt.intp) + + nbytes = shapeprod * itemsize + + if nbytes > size: + raise ValueError( + "Not enough bytes left in file for specified " + "shape and type." + ) + + # create the array + _array = recarray(shape, descr) + nbytesread = fd.readinto(_array.data) + if nbytesread != nbytes: + raise OSError("Didn't read as many bytes as expected") + + return _array + + +@set_module("numpy.rec") +def array(obj, dtype=None, shape=None, offset=0, strides=None, formats=None, + names=None, titles=None, aligned=False, byteorder=None, copy=True): + """ + Construct a record array from a wide-variety of objects. + + A general-purpose record array constructor that dispatches to the + appropriate `recarray` creation function based on the inputs (see Notes). + + Parameters + ---------- + obj : any + Input object. See Notes for details on how various input types are + treated. + dtype : data-type, optional + Valid dtype for array. + shape : int or tuple of ints, optional + Shape of each array. + offset : int, optional + Position in the file or buffer to start reading from. + strides : tuple of ints, optional + Buffer (`buf`) is interpreted according to these strides (strides + define how many bytes each array element, row, column, etc. + occupy in memory). + formats, names, titles, aligned, byteorder : + If `dtype` is ``None``, these arguments are passed to + `numpy.format_parser` to construct a dtype. See that function for + detailed documentation. + copy : bool, optional + Whether to copy the input object (True), or to use a reference instead. + This option only applies when the input is an ndarray or recarray. + Defaults to True. + + Returns + ------- + np.recarray + Record array created from the specified object. + + Notes + ----- + If `obj` is ``None``, then call the `~numpy.recarray` constructor. If + `obj` is a string, then call the `fromstring` constructor. If `obj` is a + list or a tuple, then if the first object is an `~numpy.ndarray`, call + `fromarrays`, otherwise call `fromrecords`. If `obj` is a + `~numpy.recarray`, then make a copy of the data in the recarray + (if ``copy=True``) and use the new formats, names, and titles. If `obj` + is a file, then call `fromfile`. Finally, if obj is an `ndarray`, then + return ``obj.view(recarray)``, making a copy of the data if ``copy=True``. + + Examples + -------- + >>> a = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) + >>> a + array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]) + + >>> np.rec.array(a) + rec.array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9]], + dtype=int64) + + >>> b = [(1, 1), (2, 4), (3, 9)] + >>> c = np.rec.array(b, formats = ['i2', 'f2'], names = ('x', 'y')) + >>> c + rec.array([(1, 1.), (2, 4.), (3, 9.)], + dtype=[('x', '>> c.x + array([1, 2, 3], dtype=int16) + + >>> c.y + array([1., 4., 9.], dtype=float16) + + >>> r = np.rec.array(['abc','def'], names=['col1','col2']) + >>> print(r.col1) + abc + + >>> r.col1 + array('abc', dtype='>> r.col2 + array('def', dtype=' object: ... + def tell(self, /) -> int: ... + def readinto(self, buffer: memoryview, /) -> int: ... + +### + +# exported in `numpy.rec` +class record(np.void): + def __getattribute__(self, attr: str) -> Any: ... + def __setattr__(self, attr: str, val: ArrayLike) -> None: ... + def pprint(self) -> str: ... + @overload + def __getitem__(self, key: str | SupportsIndex) -> Any: ... + @overload + def __getitem__(self, key: list[str]) -> record: ... + +# exported in `numpy.rec` +class recarray(np.ndarray[_ShapeT_co, _DTypeT_co]): + __name__: ClassVar[Literal["record"]] = "record" + __module__: Literal["numpy"] = "numpy" + @overload + def __new__( + subtype, + shape: _ShapeLike, + dtype: None = None, + buf: _SupportsBuffer | None = None, + offset: SupportsIndex = 0, + strides: _ShapeLike | None = None, + *, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + byteorder: _ByteOrder | None = None, + aligned: bool = False, + order: _OrderKACF = "C", + ) -> _RecArray[record]: ... + @overload + def __new__( + subtype, + shape: _ShapeLike, + dtype: DTypeLike, + buf: _SupportsBuffer | None = None, + offset: SupportsIndex = 0, + strides: _ShapeLike | None = None, + formats: None = None, + names: None = None, + titles: None = None, + byteorder: None = None, + aligned: Literal[False] = False, + order: _OrderKACF = "C", + ) -> _RecArray[Any]: ... + def __array_finalize__(self, /, obj: object) -> None: ... + def __getattribute__(self, attr: str, /) -> Any: ... + def __setattr__(self, attr: str, val: ArrayLike, /) -> None: ... + + # + @overload + def field(self, /, attr: int | str, val: ArrayLike) -> None: ... + @overload + def field(self, /, attr: int | str, val: None = None) -> Any: ... + +# exported in `numpy.rec` +class format_parser: + dtype: np.dtype[np.void] + def __init__( + self, + /, + formats: DTypeLike, + names: str | Sequence[str] | None, + titles: str | Sequence[str] | None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, + ) -> None: ... + +# exported in `numpy.rec` +@overload +def fromarrays( + arrayList: Iterable[ArrayLike], + dtype: DTypeLike | None = None, + shape: _ShapeLike | None = None, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, +) -> _RecArray[Any]: ... +@overload +def fromarrays( + arrayList: Iterable[ArrayLike], + dtype: None = None, + shape: _ShapeLike | None = None, + *, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, +) -> _RecArray[record]: ... + +@overload +def fromrecords( + recList: _ArrayLikeVoid_co | tuple[object, ...] | _NestedSequence[tuple[object, ...]], + dtype: DTypeLike | None = None, + shape: _ShapeLike | None = None, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, +) -> _RecArray[record]: ... +@overload +def fromrecords( + recList: _ArrayLikeVoid_co | tuple[object, ...] | _NestedSequence[tuple[object, ...]], + dtype: None = None, + shape: _ShapeLike | None = None, + *, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, +) -> _RecArray[record]: ... + +# exported in `numpy.rec` +@overload +def fromstring( + datastring: _SupportsBuffer, + dtype: DTypeLike, + shape: _ShapeLike | None = None, + offset: int = 0, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, +) -> _RecArray[record]: ... +@overload +def fromstring( + datastring: _SupportsBuffer, + dtype: None = None, + shape: _ShapeLike | None = None, + offset: int = 0, + *, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, +) -> _RecArray[record]: ... + +# exported in `numpy.rec` +@overload +def fromfile( + fd: StrOrBytesPath | _SupportsReadInto, + dtype: DTypeLike, + shape: _ShapeLike | None = None, + offset: int = 0, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, +) -> _RecArray[Any]: ... +@overload +def fromfile( + fd: StrOrBytesPath | _SupportsReadInto, + dtype: None = None, + shape: _ShapeLike | None = None, + offset: int = 0, + *, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, +) -> _RecArray[record]: ... + +# exported in `numpy.rec` +@overload +def array( + obj: _SCT | NDArray[_SCT], + dtype: None = None, + shape: _ShapeLike | None = None, + offset: int = 0, + strides: tuple[int, ...] | None = None, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, + copy: bool = True, +) -> _RecArray[_SCT]: ... +@overload +def array( + obj: ArrayLike, + dtype: DTypeLike, + shape: _ShapeLike | None = None, + offset: int = 0, + strides: tuple[int, ...] | None = None, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, + copy: bool = True, +) -> _RecArray[Any]: ... +@overload +def array( + obj: ArrayLike, + dtype: None = None, + shape: _ShapeLike | None = None, + offset: int = 0, + strides: tuple[int, ...] | None = None, + *, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, + copy: bool = True, +) -> _RecArray[record]: ... +@overload +def array( + obj: None, + dtype: DTypeLike, + shape: _ShapeLike, + offset: int = 0, + strides: tuple[int, ...] | None = None, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, + copy: bool = True, +) -> _RecArray[Any]: ... +@overload +def array( + obj: None, + dtype: None = None, + *, + shape: _ShapeLike, + offset: int = 0, + strides: tuple[int, ...] | None = None, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, + copy: bool = True, +) -> _RecArray[record]: ... +@overload +def array( + obj: _SupportsReadInto, + dtype: DTypeLike, + shape: _ShapeLike | None = None, + offset: int = 0, + strides: tuple[int, ...] | None = None, + formats: None = None, + names: None = None, + titles: None = None, + aligned: bool = False, + byteorder: None = None, + copy: bool = True, +) -> _RecArray[Any]: ... +@overload +def array( + obj: _SupportsReadInto, + dtype: None = None, + shape: _ShapeLike | None = None, + offset: int = 0, + strides: tuple[int, ...] | None = None, + *, + formats: DTypeLike, + names: str | Sequence[str] | None = None, + titles: str | Sequence[str] | None = None, + aligned: bool = False, + byteorder: _ByteOrder | None = None, + copy: bool = True, +) -> _RecArray[record]: ... + +# exported in `numpy.rec` +def find_duplicate(list: Iterable[_T]) -> list[_T]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/shape_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/shape_base.py new file mode 100644 index 0000000000000000000000000000000000000000..cc08ab4600938ee47d1d872b64997cc597196feb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/shape_base.py @@ -0,0 +1,1004 @@ +__all__ = ['atleast_1d', 'atleast_2d', 'atleast_3d', 'block', 'hstack', + 'stack', 'unstack', 'vstack'] + +import functools +import itertools +import operator + +from . import numeric as _nx +from . import overrides +from .multiarray import array, asanyarray, normalize_axis_index +from . import fromnumeric as _from_nx + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +def _atleast_1d_dispatcher(*arys): + return arys + + +@array_function_dispatch(_atleast_1d_dispatcher) +def atleast_1d(*arys): + """ + Convert inputs to arrays with at least one dimension. + + Scalar inputs are converted to 1-dimensional arrays, whilst + higher-dimensional inputs are preserved. + + Parameters + ---------- + arys1, arys2, ... : array_like + One or more input arrays. + + Returns + ------- + ret : ndarray + An array, or tuple of arrays, each with ``a.ndim >= 1``. + Copies are made only if necessary. + + See Also + -------- + atleast_2d, atleast_3d + + Examples + -------- + >>> import numpy as np + >>> np.atleast_1d(1.0) + array([1.]) + + >>> x = np.arange(9.0).reshape(3,3) + >>> np.atleast_1d(x) + array([[0., 1., 2.], + [3., 4., 5.], + [6., 7., 8.]]) + >>> np.atleast_1d(x) is x + True + + >>> np.atleast_1d(1, [3, 4]) + (array([1]), array([3, 4])) + + """ + if len(arys) == 1: + result = asanyarray(arys[0]) + if result.ndim == 0: + result = result.reshape(1) + return result + res = [] + for ary in arys: + result = asanyarray(ary) + if result.ndim == 0: + result = result.reshape(1) + res.append(result) + return tuple(res) + + +def _atleast_2d_dispatcher(*arys): + return arys + + +@array_function_dispatch(_atleast_2d_dispatcher) +def atleast_2d(*arys): + """ + View inputs as arrays with at least two dimensions. + + Parameters + ---------- + arys1, arys2, ... : array_like + One or more array-like sequences. Non-array inputs are converted + to arrays. Arrays that already have two or more dimensions are + preserved. + + Returns + ------- + res, res2, ... : ndarray + An array, or tuple of arrays, each with ``a.ndim >= 2``. + Copies are avoided where possible, and views with two or more + dimensions are returned. + + See Also + -------- + atleast_1d, atleast_3d + + Examples + -------- + >>> import numpy as np + >>> np.atleast_2d(3.0) + array([[3.]]) + + >>> x = np.arange(3.0) + >>> np.atleast_2d(x) + array([[0., 1., 2.]]) + >>> np.atleast_2d(x).base is x + True + + >>> np.atleast_2d(1, [1, 2], [[1, 2]]) + (array([[1]]), array([[1, 2]]), array([[1, 2]])) + + """ + res = [] + for ary in arys: + ary = asanyarray(ary) + if ary.ndim == 0: + result = ary.reshape(1, 1) + elif ary.ndim == 1: + result = ary[_nx.newaxis, :] + else: + result = ary + res.append(result) + if len(res) == 1: + return res[0] + else: + return tuple(res) + + +def _atleast_3d_dispatcher(*arys): + return arys + + +@array_function_dispatch(_atleast_3d_dispatcher) +def atleast_3d(*arys): + """ + View inputs as arrays with at least three dimensions. + + Parameters + ---------- + arys1, arys2, ... : array_like + One or more array-like sequences. Non-array inputs are converted to + arrays. Arrays that already have three or more dimensions are + preserved. + + Returns + ------- + res1, res2, ... : ndarray + An array, or tuple of arrays, each with ``a.ndim >= 3``. Copies are + avoided where possible, and views with three or more dimensions are + returned. For example, a 1-D array of shape ``(N,)`` becomes a view + of shape ``(1, N, 1)``, and a 2-D array of shape ``(M, N)`` becomes a + view of shape ``(M, N, 1)``. + + See Also + -------- + atleast_1d, atleast_2d + + Examples + -------- + >>> import numpy as np + >>> np.atleast_3d(3.0) + array([[[3.]]]) + + >>> x = np.arange(3.0) + >>> np.atleast_3d(x).shape + (1, 3, 1) + + >>> x = np.arange(12.0).reshape(4,3) + >>> np.atleast_3d(x).shape + (4, 3, 1) + >>> np.atleast_3d(x).base is x.base # x is a reshape, so not base itself + True + + >>> for arr in np.atleast_3d([1, 2], [[1, 2]], [[[1, 2]]]): + ... print(arr, arr.shape) # doctest: +SKIP + ... + [[[1] + [2]]] (1, 2, 1) + [[[1] + [2]]] (1, 2, 1) + [[[1 2]]] (1, 1, 2) + + """ + res = [] + for ary in arys: + ary = asanyarray(ary) + if ary.ndim == 0: + result = ary.reshape(1, 1, 1) + elif ary.ndim == 1: + result = ary[_nx.newaxis, :, _nx.newaxis] + elif ary.ndim == 2: + result = ary[:, :, _nx.newaxis] + else: + result = ary + res.append(result) + if len(res) == 1: + return res[0] + else: + return tuple(res) + + +def _arrays_for_stack_dispatcher(arrays): + if not hasattr(arrays, "__getitem__"): + raise TypeError('arrays to stack must be passed as a "sequence" type ' + 'such as list or tuple.') + + return tuple(arrays) + + +def _vhstack_dispatcher(tup, *, dtype=None, casting=None): + return _arrays_for_stack_dispatcher(tup) + + +@array_function_dispatch(_vhstack_dispatcher) +def vstack(tup, *, dtype=None, casting="same_kind"): + """ + Stack arrays in sequence vertically (row wise). + + This is equivalent to concatenation along the first axis after 1-D arrays + of shape `(N,)` have been reshaped to `(1,N)`. Rebuilds arrays divided by + `vsplit`. + + This function makes most sense for arrays with up to 3 dimensions. For + instance, for pixel-data with a height (first axis), width (second axis), + and r/g/b channels (third axis). The functions `concatenate`, `stack` and + `block` provide more general stacking and concatenation operations. + + Parameters + ---------- + tup : sequence of ndarrays + The arrays must have the same shape along all but the first axis. + 1-D arrays must have the same length. In the case of a single + array_like input, it will be treated as a sequence of arrays; i.e., + each element along the zeroth axis is treated as a separate array. + + dtype : str or dtype + If provided, the destination array will have this dtype. Cannot be + provided together with `out`. + + .. versionadded:: 1.24 + + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. Defaults to 'same_kind'. + + .. versionadded:: 1.24 + + Returns + ------- + stacked : ndarray + The array formed by stacking the given arrays, will be at least 2-D. + + See Also + -------- + concatenate : Join a sequence of arrays along an existing axis. + stack : Join a sequence of arrays along a new axis. + block : Assemble an nd-array from nested lists of blocks. + hstack : Stack arrays in sequence horizontally (column wise). + dstack : Stack arrays in sequence depth wise (along third axis). + column_stack : Stack 1-D arrays as columns into a 2-D array. + vsplit : Split an array into multiple sub-arrays vertically (row-wise). + unstack : Split an array into a tuple of sub-arrays along an axis. + + Examples + -------- + >>> import numpy as np + >>> a = np.array([1, 2, 3]) + >>> b = np.array([4, 5, 6]) + >>> np.vstack((a,b)) + array([[1, 2, 3], + [4, 5, 6]]) + + >>> a = np.array([[1], [2], [3]]) + >>> b = np.array([[4], [5], [6]]) + >>> np.vstack((a,b)) + array([[1], + [2], + [3], + [4], + [5], + [6]]) + + """ + arrs = atleast_2d(*tup) + if not isinstance(arrs, tuple): + arrs = (arrs,) + return _nx.concatenate(arrs, 0, dtype=dtype, casting=casting) + + +@array_function_dispatch(_vhstack_dispatcher) +def hstack(tup, *, dtype=None, casting="same_kind"): + """ + Stack arrays in sequence horizontally (column wise). + + This is equivalent to concatenation along the second axis, except for 1-D + arrays where it concatenates along the first axis. Rebuilds arrays divided + by `hsplit`. + + This function makes most sense for arrays with up to 3 dimensions. For + instance, for pixel-data with a height (first axis), width (second axis), + and r/g/b channels (third axis). The functions `concatenate`, `stack` and + `block` provide more general stacking and concatenation operations. + + Parameters + ---------- + tup : sequence of ndarrays + The arrays must have the same shape along all but the second axis, + except 1-D arrays which can be any length. In the case of a single + array_like input, it will be treated as a sequence of arrays; i.e., + each element along the zeroth axis is treated as a separate array. + + dtype : str or dtype + If provided, the destination array will have this dtype. Cannot be + provided together with `out`. + + .. versionadded:: 1.24 + + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. Defaults to 'same_kind'. + + .. versionadded:: 1.24 + + Returns + ------- + stacked : ndarray + The array formed by stacking the given arrays. + + See Also + -------- + concatenate : Join a sequence of arrays along an existing axis. + stack : Join a sequence of arrays along a new axis. + block : Assemble an nd-array from nested lists of blocks. + vstack : Stack arrays in sequence vertically (row wise). + dstack : Stack arrays in sequence depth wise (along third axis). + column_stack : Stack 1-D arrays as columns into a 2-D array. + hsplit : Split an array into multiple sub-arrays + horizontally (column-wise). + unstack : Split an array into a tuple of sub-arrays along an axis. + + Examples + -------- + >>> import numpy as np + >>> a = np.array((1,2,3)) + >>> b = np.array((4,5,6)) + >>> np.hstack((a,b)) + array([1, 2, 3, 4, 5, 6]) + >>> a = np.array([[1],[2],[3]]) + >>> b = np.array([[4],[5],[6]]) + >>> np.hstack((a,b)) + array([[1, 4], + [2, 5], + [3, 6]]) + + """ + arrs = atleast_1d(*tup) + if not isinstance(arrs, tuple): + arrs = (arrs,) + # As a special case, dimension 0 of 1-dimensional arrays is "horizontal" + if arrs and arrs[0].ndim == 1: + return _nx.concatenate(arrs, 0, dtype=dtype, casting=casting) + else: + return _nx.concatenate(arrs, 1, dtype=dtype, casting=casting) + + +def _stack_dispatcher(arrays, axis=None, out=None, *, + dtype=None, casting=None): + arrays = _arrays_for_stack_dispatcher(arrays) + if out is not None: + # optimize for the typical case where only arrays is provided + arrays = list(arrays) + arrays.append(out) + return arrays + + +@array_function_dispatch(_stack_dispatcher) +def stack(arrays, axis=0, out=None, *, dtype=None, casting="same_kind"): + """ + Join a sequence of arrays along a new axis. + + The ``axis`` parameter specifies the index of the new axis in the + dimensions of the result. For example, if ``axis=0`` it will be the first + dimension and if ``axis=-1`` it will be the last dimension. + + Parameters + ---------- + arrays : sequence of ndarrays + Each array must have the same shape. In the case of a single ndarray + array_like input, it will be treated as a sequence of arrays; i.e., + each element along the zeroth axis is treated as a separate array. + + axis : int, optional + The axis in the result array along which the input arrays are stacked. + + out : ndarray, optional + If provided, the destination to place the result. The shape must be + correct, matching that of what stack would have returned if no + out argument were specified. + + dtype : str or dtype + If provided, the destination array will have this dtype. Cannot be + provided together with `out`. + + .. versionadded:: 1.24 + + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + Controls what kind of data casting may occur. Defaults to 'same_kind'. + + .. versionadded:: 1.24 + + + Returns + ------- + stacked : ndarray + The stacked array has one more dimension than the input arrays. + + See Also + -------- + concatenate : Join a sequence of arrays along an existing axis. + block : Assemble an nd-array from nested lists of blocks. + split : Split array into a list of multiple sub-arrays of equal size. + unstack : Split an array into a tuple of sub-arrays along an axis. + + Examples + -------- + >>> import numpy as np + >>> rng = np.random.default_rng() + >>> arrays = [rng.normal(size=(3,4)) for _ in range(10)] + >>> np.stack(arrays, axis=0).shape + (10, 3, 4) + + >>> np.stack(arrays, axis=1).shape + (3, 10, 4) + + >>> np.stack(arrays, axis=2).shape + (3, 4, 10) + + >>> a = np.array([1, 2, 3]) + >>> b = np.array([4, 5, 6]) + >>> np.stack((a, b)) + array([[1, 2, 3], + [4, 5, 6]]) + + >>> np.stack((a, b), axis=-1) + array([[1, 4], + [2, 5], + [3, 6]]) + + """ + arrays = [asanyarray(arr) for arr in arrays] + if not arrays: + raise ValueError('need at least one array to stack') + + shapes = {arr.shape for arr in arrays} + if len(shapes) != 1: + raise ValueError('all input arrays must have the same shape') + + result_ndim = arrays[0].ndim + 1 + axis = normalize_axis_index(axis, result_ndim) + + sl = (slice(None),) * axis + (_nx.newaxis,) + expanded_arrays = [arr[sl] for arr in arrays] + return _nx.concatenate(expanded_arrays, axis=axis, out=out, + dtype=dtype, casting=casting) + +def _unstack_dispatcher(x, /, *, axis=None): + return (x,) + +@array_function_dispatch(_unstack_dispatcher) +def unstack(x, /, *, axis=0): + """ + Split an array into a sequence of arrays along the given axis. + + The ``axis`` parameter specifies the dimension along which the array will + be split. For example, if ``axis=0`` (the default) it will be the first + dimension and if ``axis=-1`` it will be the last dimension. + + The result is a tuple of arrays split along ``axis``. + + .. versionadded:: 2.1.0 + + Parameters + ---------- + x : ndarray + The array to be unstacked. + axis : int, optional + Axis along which the array will be split. Default: ``0``. + + Returns + ------- + unstacked : tuple of ndarrays + The unstacked arrays. + + See Also + -------- + stack : Join a sequence of arrays along a new axis. + concatenate : Join a sequence of arrays along an existing axis. + block : Assemble an nd-array from nested lists of blocks. + split : Split array into a list of multiple sub-arrays of equal size. + + Notes + ----- + ``unstack`` serves as the reverse operation of :py:func:`stack`, i.e., + ``stack(unstack(x, axis=axis), axis=axis) == x``. + + This function is equivalent to ``tuple(np.moveaxis(x, axis, 0))``, since + iterating on an array iterates along the first axis. + + Examples + -------- + >>> arr = np.arange(24).reshape((2, 3, 4)) + >>> np.unstack(arr) + (array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]), + array([[12, 13, 14, 15], + [16, 17, 18, 19], + [20, 21, 22, 23]])) + >>> np.unstack(arr, axis=1) + (array([[ 0, 1, 2, 3], + [12, 13, 14, 15]]), + array([[ 4, 5, 6, 7], + [16, 17, 18, 19]]), + array([[ 8, 9, 10, 11], + [20, 21, 22, 23]])) + >>> arr2 = np.stack(np.unstack(arr, axis=1), axis=1) + >>> arr2.shape + (2, 3, 4) + >>> np.all(arr == arr2) + np.True_ + + """ + if x.ndim == 0: + raise ValueError("Input array must be at least 1-d.") + return tuple(_nx.moveaxis(x, axis, 0)) + +# Internal functions to eliminate the overhead of repeated dispatch in one of +# the two possible paths inside np.block. +# Use getattr to protect against __array_function__ being disabled. +_size = getattr(_from_nx.size, '__wrapped__', _from_nx.size) +_ndim = getattr(_from_nx.ndim, '__wrapped__', _from_nx.ndim) +_concatenate = getattr(_from_nx.concatenate, + '__wrapped__', _from_nx.concatenate) + + +def _block_format_index(index): + """ + Convert a list of indices ``[0, 1, 2]`` into ``"arrays[0][1][2]"``. + """ + idx_str = ''.join('[{}]'.format(i) for i in index if i is not None) + return 'arrays' + idx_str + + +def _block_check_depths_match(arrays, parent_index=[]): + """ + Recursive function checking that the depths of nested lists in `arrays` + all match. Mismatch raises a ValueError as described in the block + docstring below. + + The entire index (rather than just the depth) needs to be calculated + for each innermost list, in case an error needs to be raised, so that + the index of the offending list can be printed as part of the error. + + Parameters + ---------- + arrays : nested list of arrays + The arrays to check + parent_index : list of int + The full index of `arrays` within the nested lists passed to + `_block_check_depths_match` at the top of the recursion. + + Returns + ------- + first_index : list of int + The full index of an element from the bottom of the nesting in + `arrays`. If any element at the bottom is an empty list, this will + refer to it, and the last index along the empty axis will be None. + max_arr_ndim : int + The maximum of the ndims of the arrays nested in `arrays`. + final_size: int + The number of elements in the final array. This is used the motivate + the choice of algorithm used using benchmarking wisdom. + + """ + if type(arrays) is tuple: + # not strictly necessary, but saves us from: + # - more than one way to do things - no point treating tuples like + # lists + # - horribly confusing behaviour that results when tuples are + # treated like ndarray + raise TypeError( + '{} is a tuple. ' + 'Only lists can be used to arrange blocks, and np.block does ' + 'not allow implicit conversion from tuple to ndarray.'.format( + _block_format_index(parent_index) + ) + ) + elif type(arrays) is list and len(arrays) > 0: + idxs_ndims = (_block_check_depths_match(arr, parent_index + [i]) + for i, arr in enumerate(arrays)) + + first_index, max_arr_ndim, final_size = next(idxs_ndims) + for index, ndim, size in idxs_ndims: + final_size += size + if ndim > max_arr_ndim: + max_arr_ndim = ndim + if len(index) != len(first_index): + raise ValueError( + "List depths are mismatched. First element was at depth " + "{}, but there is an element at depth {} ({})".format( + len(first_index), + len(index), + _block_format_index(index) + ) + ) + # propagate our flag that indicates an empty list at the bottom + if index[-1] is None: + first_index = index + + return first_index, max_arr_ndim, final_size + elif type(arrays) is list and len(arrays) == 0: + # We've 'bottomed out' on an empty list + return parent_index + [None], 0, 0 + else: + # We've 'bottomed out' - arrays is either a scalar or an array + size = _size(arrays) + return parent_index, _ndim(arrays), size + + +def _atleast_nd(a, ndim): + # Ensures `a` has at least `ndim` dimensions by prepending + # ones to `a.shape` as necessary + return array(a, ndmin=ndim, copy=None, subok=True) + + +def _accumulate(values): + return list(itertools.accumulate(values)) + + +def _concatenate_shapes(shapes, axis): + """Given array shapes, return the resulting shape and slices prefixes. + + These help in nested concatenation. + + Returns + ------- + shape: tuple of int + This tuple satisfies:: + + shape, _ = _concatenate_shapes([arr.shape for shape in arrs], axis) + shape == concatenate(arrs, axis).shape + + slice_prefixes: tuple of (slice(start, end), ) + For a list of arrays being concatenated, this returns the slice + in the larger array at axis that needs to be sliced into. + + For example, the following holds:: + + ret = concatenate([a, b, c], axis) + _, (sl_a, sl_b, sl_c) = concatenate_slices([a, b, c], axis) + + ret[(slice(None),) * axis + sl_a] == a + ret[(slice(None),) * axis + sl_b] == b + ret[(slice(None),) * axis + sl_c] == c + + These are called slice prefixes since they are used in the recursive + blocking algorithm to compute the left-most slices during the + recursion. Therefore, they must be prepended to rest of the slice + that was computed deeper in the recursion. + + These are returned as tuples to ensure that they can quickly be added + to existing slice tuple without creating a new tuple every time. + + """ + # Cache a result that will be reused. + shape_at_axis = [shape[axis] for shape in shapes] + + # Take a shape, any shape + first_shape = shapes[0] + first_shape_pre = first_shape[:axis] + first_shape_post = first_shape[axis+1:] + + if any(shape[:axis] != first_shape_pre or + shape[axis+1:] != first_shape_post for shape in shapes): + raise ValueError( + 'Mismatched array shapes in block along axis {}.'.format(axis)) + + shape = (first_shape_pre + (sum(shape_at_axis),) + first_shape[axis+1:]) + + offsets_at_axis = _accumulate(shape_at_axis) + slice_prefixes = [(slice(start, end),) + for start, end in zip([0] + offsets_at_axis, + offsets_at_axis)] + return shape, slice_prefixes + + +def _block_info_recursion(arrays, max_depth, result_ndim, depth=0): + """ + Returns the shape of the final array, along with a list + of slices and a list of arrays that can be used for assignment inside the + new array + + Parameters + ---------- + arrays : nested list of arrays + The arrays to check + max_depth : list of int + The number of nested lists + result_ndim : int + The number of dimensions in thefinal array. + + Returns + ------- + shape : tuple of int + The shape that the final array will take on. + slices: list of tuple of slices + The slices into the full array required for assignment. These are + required to be prepended with ``(Ellipsis, )`` to obtain to correct + final index. + arrays: list of ndarray + The data to assign to each slice of the full array + + """ + if depth < max_depth: + shapes, slices, arrays = zip( + *[_block_info_recursion(arr, max_depth, result_ndim, depth+1) + for arr in arrays]) + + axis = result_ndim - max_depth + depth + shape, slice_prefixes = _concatenate_shapes(shapes, axis) + + # Prepend the slice prefix and flatten the slices + slices = [slice_prefix + the_slice + for slice_prefix, inner_slices in zip(slice_prefixes, slices) + for the_slice in inner_slices] + + # Flatten the array list + arrays = functools.reduce(operator.add, arrays) + + return shape, slices, arrays + else: + # We've 'bottomed out' - arrays is either a scalar or an array + # type(arrays) is not list + # Return the slice and the array inside a list to be consistent with + # the recursive case. + arr = _atleast_nd(arrays, result_ndim) + return arr.shape, [()], [arr] + + +def _block(arrays, max_depth, result_ndim, depth=0): + """ + Internal implementation of block based on repeated concatenation. + `arrays` is the argument passed to + block. `max_depth` is the depth of nested lists within `arrays` and + `result_ndim` is the greatest of the dimensions of the arrays in + `arrays` and the depth of the lists in `arrays` (see block docstring + for details). + """ + if depth < max_depth: + arrs = [_block(arr, max_depth, result_ndim, depth+1) + for arr in arrays] + return _concatenate(arrs, axis=-(max_depth-depth)) + else: + # We've 'bottomed out' - arrays is either a scalar or an array + # type(arrays) is not list + return _atleast_nd(arrays, result_ndim) + + +def _block_dispatcher(arrays): + # Use type(...) is list to match the behavior of np.block(), which special + # cases list specifically rather than allowing for generic iterables or + # tuple. Also, we know that list.__array_function__ will never exist. + if type(arrays) is list: + for subarrays in arrays: + yield from _block_dispatcher(subarrays) + else: + yield arrays + + +@array_function_dispatch(_block_dispatcher) +def block(arrays): + """ + Assemble an nd-array from nested lists of blocks. + + Blocks in the innermost lists are concatenated (see `concatenate`) along + the last dimension (-1), then these are concatenated along the + second-last dimension (-2), and so on until the outermost list is reached. + + Blocks can be of any dimension, but will not be broadcasted using + the normal rules. Instead, leading axes of size 1 are inserted, + to make ``block.ndim`` the same for all blocks. This is primarily useful + for working with scalars, and means that code like ``np.block([v, 1])`` + is valid, where ``v.ndim == 1``. + + When the nested list is two levels deep, this allows block matrices to be + constructed from their components. + + Parameters + ---------- + arrays : nested list of array_like or scalars (but not tuples) + If passed a single ndarray or scalar (a nested list of depth 0), this + is returned unmodified (and not copied). + + Elements shapes must match along the appropriate axes (without + broadcasting), but leading 1s will be prepended to the shape as + necessary to make the dimensions match. + + Returns + ------- + block_array : ndarray + The array assembled from the given blocks. + + The dimensionality of the output is equal to the greatest of: + + * the dimensionality of all the inputs + * the depth to which the input list is nested + + Raises + ------ + ValueError + * If list depths are mismatched - for instance, ``[[a, b], c]`` is + illegal, and should be spelt ``[[a, b], [c]]`` + * If lists are empty - for instance, ``[[a, b], []]`` + + See Also + -------- + concatenate : Join a sequence of arrays along an existing axis. + stack : Join a sequence of arrays along a new axis. + vstack : Stack arrays in sequence vertically (row wise). + hstack : Stack arrays in sequence horizontally (column wise). + dstack : Stack arrays in sequence depth wise (along third axis). + column_stack : Stack 1-D arrays as columns into a 2-D array. + vsplit : Split an array into multiple sub-arrays vertically (row-wise). + unstack : Split an array into a tuple of sub-arrays along an axis. + + Notes + ----- + When called with only scalars, ``np.block`` is equivalent to an ndarray + call. So ``np.block([[1, 2], [3, 4]])`` is equivalent to + ``np.array([[1, 2], [3, 4]])``. + + This function does not enforce that the blocks lie on a fixed grid. + ``np.block([[a, b], [c, d]])`` is not restricted to arrays of the form:: + + AAAbb + AAAbb + cccDD + + But is also allowed to produce, for some ``a, b, c, d``:: + + AAAbb + AAAbb + cDDDD + + Since concatenation happens along the last axis first, `block` is *not* + capable of producing the following directly:: + + AAAbb + cccbb + cccDD + + Matlab's "square bracket stacking", ``[A, B, ...; p, q, ...]``, is + equivalent to ``np.block([[A, B, ...], [p, q, ...]])``. + + Examples + -------- + The most common use of this function is to build a block matrix: + + >>> import numpy as np + >>> A = np.eye(2) * 2 + >>> B = np.eye(3) * 3 + >>> np.block([ + ... [A, np.zeros((2, 3))], + ... [np.ones((3, 2)), B ] + ... ]) + array([[2., 0., 0., 0., 0.], + [0., 2., 0., 0., 0.], + [1., 1., 3., 0., 0.], + [1., 1., 0., 3., 0.], + [1., 1., 0., 0., 3.]]) + + With a list of depth 1, `block` can be used as `hstack`: + + >>> np.block([1, 2, 3]) # hstack([1, 2, 3]) + array([1, 2, 3]) + + >>> a = np.array([1, 2, 3]) + >>> b = np.array([4, 5, 6]) + >>> np.block([a, b, 10]) # hstack([a, b, 10]) + array([ 1, 2, 3, 4, 5, 6, 10]) + + >>> A = np.ones((2, 2), int) + >>> B = 2 * A + >>> np.block([A, B]) # hstack([A, B]) + array([[1, 1, 2, 2], + [1, 1, 2, 2]]) + + With a list of depth 2, `block` can be used in place of `vstack`: + + >>> a = np.array([1, 2, 3]) + >>> b = np.array([4, 5, 6]) + >>> np.block([[a], [b]]) # vstack([a, b]) + array([[1, 2, 3], + [4, 5, 6]]) + + >>> A = np.ones((2, 2), int) + >>> B = 2 * A + >>> np.block([[A], [B]]) # vstack([A, B]) + array([[1, 1], + [1, 1], + [2, 2], + [2, 2]]) + + It can also be used in place of `atleast_1d` and `atleast_2d`: + + >>> a = np.array(0) + >>> b = np.array([1]) + >>> np.block([a]) # atleast_1d(a) + array([0]) + >>> np.block([b]) # atleast_1d(b) + array([1]) + + >>> np.block([[a]]) # atleast_2d(a) + array([[0]]) + >>> np.block([[b]]) # atleast_2d(b) + array([[1]]) + + + """ + arrays, list_ndim, result_ndim, final_size = _block_setup(arrays) + + # It was found through benchmarking that making an array of final size + # around 256x256 was faster by straight concatenation on a + # i7-7700HQ processor and dual channel ram 2400MHz. + # It didn't seem to matter heavily on the dtype used. + # + # A 2D array using repeated concatenation requires 2 copies of the array. + # + # The fastest algorithm will depend on the ratio of CPU power to memory + # speed. + # One can monitor the results of the benchmark + # https://pv.github.io/numpy-bench/#bench_shape_base.Block2D.time_block2d + # to tune this parameter until a C version of the `_block_info_recursion` + # algorithm is implemented which would likely be faster than the python + # version. + if list_ndim * final_size > (2 * 512 * 512): + return _block_slicing(arrays, list_ndim, result_ndim) + else: + return _block_concatenate(arrays, list_ndim, result_ndim) + + +# These helper functions are mostly used for testing. +# They allow us to write tests that directly call `_block_slicing` +# or `_block_concatenate` without blocking large arrays to force the wisdom +# to trigger the desired path. +def _block_setup(arrays): + """ + Returns + (`arrays`, list_ndim, result_ndim, final_size) + """ + bottom_index, arr_ndim, final_size = _block_check_depths_match(arrays) + list_ndim = len(bottom_index) + if bottom_index and bottom_index[-1] is None: + raise ValueError( + 'List at {} cannot be empty'.format( + _block_format_index(bottom_index) + ) + ) + result_ndim = max(arr_ndim, list_ndim) + return arrays, list_ndim, result_ndim, final_size + + +def _block_slicing(arrays, list_ndim, result_ndim): + shape, slices, arrays = _block_info_recursion( + arrays, list_ndim, result_ndim) + dtype = _nx.result_type(*[arr.dtype for arr in arrays]) + + # Test preferring F only in the case that all input arrays are F + F_order = all(arr.flags['F_CONTIGUOUS'] for arr in arrays) + C_order = all(arr.flags['C_CONTIGUOUS'] for arr in arrays) + order = 'F' if F_order and not C_order else 'C' + result = _nx.empty(shape=shape, dtype=dtype, order=order) + # Note: In a c implementation, the function + # PyArray_CreateMultiSortedStridePerm could be used for more advanced + # guessing of the desired order. + + for the_slice, arr in zip(slices, arrays): + result[(Ellipsis,) + the_slice] = arr + return result + + +def _block_concatenate(arrays, list_ndim, result_ndim): + result = _block(arrays, list_ndim, result_ndim) + if list_ndim == 0: + # Catch an edge case where _block returns a view because + # `arrays` is a single numpy array and not a list of numpy arrays. + # This might copy scalars or lists twice, but this isn't a likely + # usecase for those interested in performance + result = result.copy() + return result diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/shape_base.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/shape_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..decb7be48f9e0cb2d8010bac2f494c5f43ea173c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/shape_base.pyi @@ -0,0 +1,175 @@ +from collections.abc import Sequence +from typing import Any, SupportsIndex, TypeVar, overload + +from numpy import _CastingKind, generic +from numpy._typing import ArrayLike, DTypeLike, NDArray, _ArrayLike, _DTypeLike + +__all__ = [ + "atleast_1d", + "atleast_2d", + "atleast_3d", + "block", + "hstack", + "stack", + "unstack", + "vstack", +] + +_SCT = TypeVar("_SCT", bound=generic) +_SCT1 = TypeVar("_SCT1", bound=generic) +_SCT2 = TypeVar("_SCT2", bound=generic) +_ArrayT = TypeVar("_ArrayT", bound=NDArray[Any]) + +### + +@overload +def atleast_1d(a0: _ArrayLike[_SCT], /) -> NDArray[_SCT]: ... +@overload +def atleast_1d(a0: _ArrayLike[_SCT1], a1: _ArrayLike[_SCT2], /) -> tuple[NDArray[_SCT1], NDArray[_SCT2]]: ... +@overload +def atleast_1d(a0: _ArrayLike[_SCT], a1: _ArrayLike[_SCT], /, *arys: _ArrayLike[_SCT]) -> tuple[NDArray[_SCT], ...]: ... +@overload +def atleast_1d(a0: ArrayLike, /) -> NDArray[Any]: ... +@overload +def atleast_1d(a0: ArrayLike, a1: ArrayLike, /) -> tuple[NDArray[Any], NDArray[Any]]: ... +@overload +def atleast_1d(a0: ArrayLike, a1: ArrayLike, /, *ai: ArrayLike) -> tuple[NDArray[Any], ...]: ... + +# +@overload +def atleast_2d(a0: _ArrayLike[_SCT], /) -> NDArray[_SCT]: ... +@overload +def atleast_2d(a0: _ArrayLike[_SCT1], a1: _ArrayLike[_SCT2], /) -> tuple[NDArray[_SCT1], NDArray[_SCT2]]: ... +@overload +def atleast_2d(a0: _ArrayLike[_SCT], a1: _ArrayLike[_SCT], /, *arys: _ArrayLike[_SCT]) -> tuple[NDArray[_SCT], ...]: ... +@overload +def atleast_2d(a0: ArrayLike, /) -> NDArray[Any]: ... +@overload +def atleast_2d(a0: ArrayLike, a1: ArrayLike, /) -> tuple[NDArray[Any], NDArray[Any]]: ... +@overload +def atleast_2d(a0: ArrayLike, a1: ArrayLike, /, *ai: ArrayLike) -> tuple[NDArray[Any], ...]: ... + +# +@overload +def atleast_3d(a0: _ArrayLike[_SCT], /) -> NDArray[_SCT]: ... +@overload +def atleast_3d(a0: _ArrayLike[_SCT1], a1: _ArrayLike[_SCT2], /) -> tuple[NDArray[_SCT1], NDArray[_SCT2]]: ... +@overload +def atleast_3d(a0: _ArrayLike[_SCT], a1: _ArrayLike[_SCT], /, *arys: _ArrayLike[_SCT]) -> tuple[NDArray[_SCT], ...]: ... +@overload +def atleast_3d(a0: ArrayLike, /) -> NDArray[Any]: ... +@overload +def atleast_3d(a0: ArrayLike, a1: ArrayLike, /) -> tuple[NDArray[Any], NDArray[Any]]: ... +@overload +def atleast_3d(a0: ArrayLike, a1: ArrayLike, /, *ai: ArrayLike) -> tuple[NDArray[Any], ...]: ... + +# +@overload +def vstack( + tup: Sequence[_ArrayLike[_SCT]], + *, + dtype: None = ..., + casting: _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def vstack( + tup: Sequence[ArrayLike], + *, + dtype: _DTypeLike[_SCT], + casting: _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def vstack( + tup: Sequence[ArrayLike], + *, + dtype: DTypeLike = ..., + casting: _CastingKind = ... +) -> NDArray[Any]: ... + +@overload +def hstack( + tup: Sequence[_ArrayLike[_SCT]], + *, + dtype: None = ..., + casting: _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def hstack( + tup: Sequence[ArrayLike], + *, + dtype: _DTypeLike[_SCT], + casting: _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def hstack( + tup: Sequence[ArrayLike], + *, + dtype: DTypeLike = ..., + casting: _CastingKind = ... +) -> NDArray[Any]: ... + +@overload +def stack( + arrays: Sequence[_ArrayLike[_SCT]], + axis: SupportsIndex = ..., + out: None = ..., + *, + dtype: None = ..., + casting: _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def stack( + arrays: Sequence[ArrayLike], + axis: SupportsIndex = ..., + out: None = ..., + *, + dtype: _DTypeLike[_SCT], + casting: _CastingKind = ... +) -> NDArray[_SCT]: ... +@overload +def stack( + arrays: Sequence[ArrayLike], + axis: SupportsIndex = ..., + out: None = ..., + *, + dtype: DTypeLike = ..., + casting: _CastingKind = ... +) -> NDArray[Any]: ... +@overload +def stack( + arrays: Sequence[ArrayLike], + axis: SupportsIndex, + out: _ArrayT, + *, + dtype: DTypeLike | None = None, + casting: _CastingKind = "same_kind", +) -> _ArrayT: ... +@overload +def stack( + arrays: Sequence[ArrayLike], + axis: SupportsIndex = 0, + *, + out: _ArrayT, + dtype: DTypeLike | None = None, + casting: _CastingKind = "same_kind", +) -> _ArrayT: ... + +@overload +def unstack( + array: _ArrayLike[_SCT], + /, + *, + axis: int = ..., +) -> tuple[NDArray[_SCT], ...]: ... +@overload +def unstack( + array: ArrayLike, + /, + *, + axis: int = ..., +) -> tuple[NDArray[Any], ...]: ... + +@overload +def block(arrays: _ArrayLike[_SCT]) -> NDArray[_SCT]: ... +@overload +def block(arrays: ArrayLike) -> NDArray[Any]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/strings.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/strings.py new file mode 100644 index 0000000000000000000000000000000000000000..b751b5d773a0cc270d0e507eb3fba4a051b56508 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/strings.py @@ -0,0 +1,1641 @@ +""" +This module contains a set of functions for vectorized string +operations. +""" + +import sys +import numpy as np +from numpy import ( + equal, not_equal, less, less_equal, greater, greater_equal, + add, multiply as _multiply_ufunc, +) +from numpy._core.multiarray import _vec_string +from numpy._core.overrides import set_module +from numpy._core.umath import ( + isalpha, + isdigit, + isspace, + isalnum, + islower, + isupper, + istitle, + isdecimal, + isnumeric, + str_len, + find as _find_ufunc, + rfind as _rfind_ufunc, + index as _index_ufunc, + rindex as _rindex_ufunc, + count as _count_ufunc, + startswith as _startswith_ufunc, + endswith as _endswith_ufunc, + _lstrip_whitespace, + _lstrip_chars, + _rstrip_whitespace, + _rstrip_chars, + _strip_whitespace, + _strip_chars, + _replace, + _expandtabs_length, + _expandtabs, + _center, + _ljust, + _rjust, + _zfill, + _partition, + _partition_index, + _rpartition, + _rpartition_index, +) + + +def _override___module__(): + for ufunc in [ + isalnum, isalpha, isdecimal, isdigit, islower, isnumeric, isspace, + istitle, isupper, str_len, + ]: + ufunc.__module__ = "numpy.strings" + ufunc.__qualname__ = ufunc.__name__ + + +_override___module__() + + +__all__ = [ + # UFuncs + "equal", "not_equal", "less", "less_equal", "greater", "greater_equal", + "add", "multiply", "isalpha", "isdigit", "isspace", "isalnum", "islower", + "isupper", "istitle", "isdecimal", "isnumeric", "str_len", "find", + "rfind", "index", "rindex", "count", "startswith", "endswith", "lstrip", + "rstrip", "strip", "replace", "expandtabs", "center", "ljust", "rjust", + "zfill", "partition", "rpartition", + + # _vec_string - Will gradually become ufuncs as well + "upper", "lower", "swapcase", "capitalize", "title", + + # _vec_string - Will probably not become ufuncs + "mod", "decode", "encode", "translate", + + # Removed from namespace until behavior has been crystallized + # "join", "split", "rsplit", "splitlines", +] + + +MAX = np.iinfo(np.int64).max + + +def _get_num_chars(a): + """ + Helper function that returns the number of characters per field in + a string or unicode array. This is to abstract out the fact that + for a unicode array this is itemsize / 4. + """ + if issubclass(a.dtype.type, np.str_): + return a.itemsize // 4 + return a.itemsize + + +def _to_bytes_or_str_array(result, output_dtype_like): + """ + Helper function to cast a result back into an array + with the appropriate dtype if an object array must be used + as an intermediary. + """ + output_dtype_like = np.asarray(output_dtype_like) + if result.size == 0: + # Calling asarray & tolist in an empty array would result + # in losing shape information + return result.astype(output_dtype_like.dtype) + ret = np.asarray(result.tolist()) + if isinstance(output_dtype_like.dtype, np.dtypes.StringDType): + return ret.astype(type(output_dtype_like.dtype)) + return ret.astype(type(output_dtype_like.dtype)(_get_num_chars(ret))) + + +def _clean_args(*args): + """ + Helper function for delegating arguments to Python string + functions. + + Many of the Python string operations that have optional arguments + do not use 'None' to indicate a default value. In these cases, + we need to remove all None arguments, and those following them. + """ + newargs = [] + for chk in args: + if chk is None: + break + newargs.append(chk) + return newargs + + +@set_module("numpy.strings") +def multiply(a, i): + """ + Return (a * i), that is string multiple concatenation, + element-wise. + + Values in ``i`` of less than 0 are treated as 0 (which yields an + empty string). + + Parameters + ---------- + a : array_like, with ``StringDType``, ``bytes_`` or ``str_`` dtype + + i : array_like, with any integer dtype + + Returns + ------- + out : ndarray + Output array of ``StringDType``, ``bytes_`` or ``str_`` dtype, + depending on input types + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["a", "b", "c"]) + >>> np.strings.multiply(a, 3) + array(['aaa', 'bbb', 'ccc'], dtype='>> i = np.array([1, 2, 3]) + >>> np.strings.multiply(a, i) + array(['a', 'bb', 'ccc'], dtype='>> np.strings.multiply(np.array(['a']), i) + array(['a', 'aa', 'aaa'], dtype='>> a = np.array(['a', 'b', 'c', 'd', 'e', 'f']).reshape((2, 3)) + >>> np.strings.multiply(a, 3) + array([['aaa', 'bbb', 'ccc'], + ['ddd', 'eee', 'fff']], dtype='>> np.strings.multiply(a, i) + array([['a', 'bb', 'ccc'], + ['d', 'ee', 'fff']], dtype=' sys.maxsize / np.maximum(i, 1)): + raise MemoryError("repeated string is too long") + + buffersizes = a_len * i + out_dtype = f"{a.dtype.char}{buffersizes.max()}" + out = np.empty_like(a, shape=buffersizes.shape, dtype=out_dtype) + return _multiply_ufunc(a, i, out=out) + + +@set_module("numpy.strings") +def mod(a, values): + """ + Return (a % i), that is pre-Python 2.6 string formatting + (interpolation), element-wise for a pair of array_likes of str + or unicode. + + Parameters + ---------- + a : array_like, with `np.bytes_` or `np.str_` dtype + + values : array_like of values + These values will be element-wise interpolated into the string. + + Returns + ------- + out : ndarray + Output array of ``StringDType``, ``bytes_`` or ``str_`` dtype, + depending on input types + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["NumPy is a %s library"]) + >>> np.strings.mod(a, values=["Python"]) + array(['NumPy is a Python library'], dtype='>> a = np.array([b'%d bytes', b'%d bits']) + >>> values = np.array([8, 64]) + >>> np.strings.mod(a, values) + array([b'8 bytes', b'64 bits'], dtype='|S7') + + """ + return _to_bytes_or_str_array( + _vec_string(a, np.object_, '__mod__', (values,)), a) + + +@set_module("numpy.strings") +def find(a, sub, start=0, end=None): + """ + For each element, return the lowest index in the string where + substring ``sub`` is found, such that ``sub`` is contained in the + range [``start``, ``end``). + + Parameters + ---------- + a : array_like, with ``StringDType``, ``bytes_`` or ``str_`` dtype + + sub : array_like, with `np.bytes_` or `np.str_` dtype + The substring to search for. + + start, end : array_like, with any integer dtype + The range to look in, interpreted as in slice notation. + + Returns + ------- + y : ndarray + Output array of ints + + See Also + -------- + str.find + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["NumPy is a Python library"]) + >>> np.strings.find(a, "Python") + array([11]) + + """ + end = end if end is not None else MAX + return _find_ufunc(a, sub, start, end) + + +@set_module("numpy.strings") +def rfind(a, sub, start=0, end=None): + """ + For each element, return the highest index in the string where + substring ``sub`` is found, such that ``sub`` is contained in the + range [``start``, ``end``). + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + sub : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + The substring to search for. + + start, end : array_like, with any integer dtype + The range to look in, interpreted as in slice notation. + + Returns + ------- + y : ndarray + Output array of ints + + See Also + -------- + str.rfind + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["Computer Science"]) + >>> np.strings.rfind(a, "Science", start=0, end=None) + array([9]) + >>> np.strings.rfind(a, "Science", start=0, end=8) + array([-1]) + >>> b = np.array(["Computer Science", "Science"]) + >>> np.strings.rfind(b, "Science", start=0, end=None) + array([9, 0]) + + """ + end = end if end is not None else MAX + return _rfind_ufunc(a, sub, start, end) + + +@set_module("numpy.strings") +def index(a, sub, start=0, end=None): + """ + Like `find`, but raises :exc:`ValueError` when the substring is not found. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + sub : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + start, end : array_like, with any integer dtype, optional + + Returns + ------- + out : ndarray + Output array of ints. + + See Also + -------- + find, str.index + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["Computer Science"]) + >>> np.strings.index(a, "Science", start=0, end=None) + array([9]) + + """ + end = end if end is not None else MAX + return _index_ufunc(a, sub, start, end) + + +@set_module("numpy.strings") +def rindex(a, sub, start=0, end=None): + """ + Like `rfind`, but raises :exc:`ValueError` when the substring `sub` is + not found. + + Parameters + ---------- + a : array-like, with `np.bytes_` or `np.str_` dtype + + sub : array-like, with `np.bytes_` or `np.str_` dtype + + start, end : array-like, with any integer dtype, optional + + Returns + ------- + out : ndarray + Output array of ints. + + See Also + -------- + rfind, str.rindex + + Examples + -------- + >>> a = np.array(["Computer Science"]) + >>> np.strings.rindex(a, "Science", start=0, end=None) + array([9]) + + """ + end = end if end is not None else MAX + return _rindex_ufunc(a, sub, start, end) + + +@set_module("numpy.strings") +def count(a, sub, start=0, end=None): + """ + Returns an array with the number of non-overlapping occurrences of + substring ``sub`` in the range [``start``, ``end``). + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + sub : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + The substring to search for. + + start, end : array_like, with any integer dtype + The range to look in, interpreted as in slice notation. + + Returns + ------- + y : ndarray + Output array of ints + + See Also + -------- + str.count + + Examples + -------- + >>> import numpy as np + >>> c = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> c + array(['aAaAaA', ' aA ', 'abBABba'], dtype='>> np.strings.count(c, 'A') + array([3, 1, 1]) + >>> np.strings.count(c, 'aA') + array([3, 1, 0]) + >>> np.strings.count(c, 'A', start=1, end=4) + array([2, 1, 1]) + >>> np.strings.count(c, 'A', start=1, end=3) + array([1, 0, 0]) + + """ + end = end if end is not None else MAX + return _count_ufunc(a, sub, start, end) + + +@set_module("numpy.strings") +def startswith(a, prefix, start=0, end=None): + """ + Returns a boolean array which is `True` where the string element + in ``a`` starts with ``prefix``, otherwise `False`. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + prefix : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + start, end : array_like, with any integer dtype + With ``start``, test beginning at that position. With ``end``, + stop comparing at that position. + + Returns + ------- + out : ndarray + Output array of bools + + See Also + -------- + str.startswith + + Examples + -------- + >>> import numpy as np + >>> s = np.array(['foo', 'bar']) + >>> s + array(['foo', 'bar'], dtype='>> np.strings.startswith(s, 'fo') + array([True, False]) + >>> np.strings.startswith(s, 'o', start=1, end=2) + array([True, False]) + + """ + end = end if end is not None else MAX + return _startswith_ufunc(a, prefix, start, end) + + +@set_module("numpy.strings") +def endswith(a, suffix, start=0, end=None): + """ + Returns a boolean array which is `True` where the string element + in ``a`` ends with ``suffix``, otherwise `False`. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + suffix : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + start, end : array_like, with any integer dtype + With ``start``, test beginning at that position. With ``end``, + stop comparing at that position. + + Returns + ------- + out : ndarray + Output array of bools + + See Also + -------- + str.endswith + + Examples + -------- + >>> import numpy as np + >>> s = np.array(['foo', 'bar']) + >>> s + array(['foo', 'bar'], dtype='>> np.strings.endswith(s, 'ar') + array([False, True]) + >>> np.strings.endswith(s, 'a', start=1, end=2) + array([False, True]) + + """ + end = end if end is not None else MAX + return _endswith_ufunc(a, suffix, start, end) + + +@set_module("numpy.strings") +def decode(a, encoding=None, errors=None): + r""" + Calls :meth:`bytes.decode` element-wise. + + The set of available codecs comes from the Python standard library, + and may be extended at runtime. For more information, see the + :mod:`codecs` module. + + Parameters + ---------- + a : array_like, with ``bytes_`` dtype + + encoding : str, optional + The name of an encoding + + errors : str, optional + Specifies how to handle encoding errors + + Returns + ------- + out : ndarray + + See Also + -------- + :py:meth:`bytes.decode` + + Notes + ----- + The type of the result will depend on the encoding specified. + + Examples + -------- + >>> import numpy as np + >>> c = np.array([b'\x81\xc1\x81\xc1\x81\xc1', b'@@\x81\xc1@@', + ... b'\x81\x82\xc2\xc1\xc2\x82\x81']) + >>> c + array([b'\x81\xc1\x81\xc1\x81\xc1', b'@@\x81\xc1@@', + b'\x81\x82\xc2\xc1\xc2\x82\x81'], dtype='|S7') + >>> np.strings.decode(c, encoding='cp037') + array(['aAaAaA', ' aA ', 'abBABba'], dtype='>> import numpy as np + >>> a = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> np.strings.encode(a, encoding='cp037') + array([b'\x81\xc1\x81\xc1\x81\xc1', b'@@\x81\xc1@@', + b'\x81\x82\xc2\xc1\xc2\x82\x81'], dtype='|S7') + + """ + return _to_bytes_or_str_array( + _vec_string(a, np.object_, 'encode', _clean_args(encoding, errors)), + np.bytes_(b'')) + + +@set_module("numpy.strings") +def expandtabs(a, tabsize=8): + """ + Return a copy of each string element where all tab characters are + replaced by one or more spaces. + + Calls :meth:`str.expandtabs` element-wise. + + Return a copy of each string element where all tab characters are + replaced by one or more spaces, depending on the current column + and the given `tabsize`. The column number is reset to zero after + each newline occurring in the string. This doesn't understand other + non-printing characters or escape sequences. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + Input array + tabsize : int, optional + Replace tabs with `tabsize` number of spaces. If not given defaults + to 8 spaces. + + Returns + ------- + out : ndarray + Output array of ``StringDType``, ``bytes_`` or ``str_`` dtype, + depending on input type + + See Also + -------- + str.expandtabs + + Examples + -------- + >>> import numpy as np + >>> a = np.array(['\t\tHello\tworld']) + >>> np.strings.expandtabs(a, tabsize=4) # doctest: +SKIP + array([' Hello world'], dtype='>> import numpy as np + >>> c = np.array(['a1b2','1b2a','b2a1','2a1b']); c + array(['a1b2', '1b2a', 'b2a1', '2a1b'], dtype='>> np.strings.center(c, width=9) + array([' a1b2 ', ' 1b2a ', ' b2a1 ', ' 2a1b '], dtype='>> np.strings.center(c, width=9, fillchar='*') + array(['***a1b2**', '***1b2a**', '***b2a1**', '***2a1b**'], dtype='>> np.strings.center(c, width=1) + array(['a1b2', '1b2a', 'b2a1', '2a1b'], dtype='>> import numpy as np + >>> c = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> np.strings.ljust(c, width=3) + array(['aAaAaA', ' aA ', 'abBABba'], dtype='>> np.strings.ljust(c, width=9) + array(['aAaAaA ', ' aA ', 'abBABba '], dtype='>> import numpy as np + >>> a = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> np.strings.rjust(a, width=3) + array(['aAaAaA', ' aA ', 'abBABba'], dtype='>> np.strings.rjust(a, width=9) + array([' aAaAaA', ' aA ', ' abBABba'], dtype='>> import numpy as np + >>> np.strings.zfill(['1', '-1', '+1'], 3) + array(['001', '-01', '+01'], dtype='>> import numpy as np + >>> c = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> c + array(['aAaAaA', ' aA ', 'abBABba'], dtype='>> np.strings.lstrip(c, 'a') + array(['AaAaA', ' aA ', 'bBABba'], dtype='>> np.strings.lstrip(c, 'A') # leaves c unchanged + array(['aAaAaA', ' aA ', 'abBABba'], dtype='>> (np.strings.lstrip(c, ' ') == np.strings.lstrip(c, '')).all() + np.False_ + >>> (np.strings.lstrip(c, ' ') == np.strings.lstrip(c)).all() + np.True_ + + """ + if chars is None: + return _lstrip_whitespace(a) + return _lstrip_chars(a, chars) + + +@set_module("numpy.strings") +def rstrip(a, chars=None): + """ + For each element in `a`, return a copy with the trailing characters + removed. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + chars : scalar with the same dtype as ``a``, optional + The ``chars`` argument is a string specifying the set of + characters to be removed. If ``None``, the ``chars`` + argument defaults to removing whitespace. The ``chars`` argument + is not a prefix or suffix; rather, all combinations of its + values are stripped. + + Returns + ------- + out : ndarray + Output array of ``StringDType``, ``bytes_`` or ``str_`` dtype, + depending on input types + + See Also + -------- + str.rstrip + + Examples + -------- + >>> import numpy as np + >>> c = np.array(['aAaAaA', 'abBABba']) + >>> c + array(['aAaAaA', 'abBABba'], dtype='>> np.strings.rstrip(c, 'a') + array(['aAaAaA', 'abBABb'], dtype='>> np.strings.rstrip(c, 'A') + array(['aAaAa', 'abBABba'], dtype='>> import numpy as np + >>> c = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> c + array(['aAaAaA', ' aA ', 'abBABba'], dtype='>> np.strings.strip(c) + array(['aAaAaA', 'aA', 'abBABba'], dtype='>> np.strings.strip(c, 'a') + array(['AaAaA', ' aA ', 'bBABb'], dtype='>> np.strings.strip(c, 'A') + array(['aAaAa', ' aA ', 'abBABba'], dtype='>> import numpy as np + >>> c = np.array(['a1b c', '1bca', 'bca1']); c + array(['a1b c', '1bca', 'bca1'], dtype='>> np.strings.upper(c) + array(['A1B C', '1BCA', 'BCA1'], dtype='>> import numpy as np + >>> c = np.array(['A1B C', '1BCA', 'BCA1']); c + array(['A1B C', '1BCA', 'BCA1'], dtype='>> np.strings.lower(c) + array(['a1b c', '1bca', 'bca1'], dtype='>> import numpy as np + >>> c=np.array(['a1B c','1b Ca','b Ca1','cA1b'],'S5'); c + array(['a1B c', '1b Ca', 'b Ca1', 'cA1b'], + dtype='|S5') + >>> np.strings.swapcase(c) + array(['A1b C', '1B cA', 'B cA1', 'Ca1B'], + dtype='|S5') + + """ + a_arr = np.asarray(a) + return _vec_string(a_arr, a_arr.dtype, 'swapcase') + + +@set_module("numpy.strings") +def capitalize(a): + """ + Return a copy of ``a`` with only the first character of each element + capitalized. + + Calls :meth:`str.capitalize` element-wise. + + For byte strings, this method is locale-dependent. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + Input array of strings to capitalize. + + Returns + ------- + out : ndarray + Output array of ``StringDType``, ``bytes_`` or ``str_`` dtype, + depending on input types + + See Also + -------- + str.capitalize + + Examples + -------- + >>> import numpy as np + >>> c = np.array(['a1b2','1b2a','b2a1','2a1b'],'S4'); c + array(['a1b2', '1b2a', 'b2a1', '2a1b'], + dtype='|S4') + >>> np.strings.capitalize(c) + array(['A1b2', '1b2a', 'B2a1', '2a1b'], + dtype='|S4') + + """ + a_arr = np.asarray(a) + return _vec_string(a_arr, a_arr.dtype, 'capitalize') + + +@set_module("numpy.strings") +def title(a): + """ + Return element-wise title cased version of string or unicode. + + Title case words start with uppercase characters, all remaining cased + characters are lowercase. + + Calls :meth:`str.title` element-wise. + + For 8-bit strings, this method is locale-dependent. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + Input array. + + Returns + ------- + out : ndarray + Output array of ``StringDType``, ``bytes_`` or ``str_`` dtype, + depending on input types + + See Also + -------- + str.title + + Examples + -------- + >>> import numpy as np + >>> c=np.array(['a1b c','1b ca','b ca1','ca1b'],'S5'); c + array(['a1b c', '1b ca', 'b ca1', 'ca1b'], + dtype='|S5') + >>> np.strings.title(c) + array(['A1B C', '1B Ca', 'B Ca1', 'Ca1B'], + dtype='|S5') + + """ + a_arr = np.asarray(a) + return _vec_string(a_arr, a_arr.dtype, 'title') + + +@set_module("numpy.strings") +def replace(a, old, new, count=-1): + """ + For each element in ``a``, return a copy of the string with + occurrences of substring ``old`` replaced by ``new``. + + Parameters + ---------- + a : array_like, with ``bytes_`` or ``str_`` dtype + + old, new : array_like, with ``bytes_`` or ``str_`` dtype + + count : array_like, with ``int_`` dtype + If the optional argument ``count`` is given, only the first + ``count`` occurrences are replaced. + + Returns + ------- + out : ndarray + Output array of ``StringDType``, ``bytes_`` or ``str_`` dtype, + depending on input types + + See Also + -------- + str.replace + + Examples + -------- + >>> import numpy as np + >>> a = np.array(["That is a mango", "Monkeys eat mangos"]) + >>> np.strings.replace(a, 'mango', 'banana') + array(['That is a banana', 'Monkeys eat bananas'], dtype='>> a = np.array(["The dish is fresh", "This is it"]) + >>> np.strings.replace(a, 'is', 'was') + array(['The dwash was fresh', 'Thwas was it'], dtype='>> import numpy as np + >>> np.strings.join('-', 'osd') # doctest: +SKIP + array('o-s-d', dtype='>> np.strings.join(['-', '.'], ['ghc', 'osd']) # doctest: +SKIP + array(['g-h-c', 'o.s.d'], dtype='>> import numpy as np + >>> x = np.array("Numpy is nice!") + >>> np.strings.split(x, " ") # doctest: +SKIP + array(list(['Numpy', 'is', 'nice!']), dtype=object) # doctest: +SKIP + + >>> np.strings.split(x, " ", 1) # doctest: +SKIP + array(list(['Numpy', 'is nice!']), dtype=object) # doctest: +SKIP + + See Also + -------- + str.split, rsplit + + """ + # This will return an array of lists of different sizes, so we + # leave it as an object array + return _vec_string( + a, np.object_, 'split', [sep] + _clean_args(maxsplit)) + + +def _rsplit(a, sep=None, maxsplit=None): + """ + For each element in `a`, return a list of the words in the + string, using `sep` as the delimiter string. + + Calls :meth:`str.rsplit` element-wise. + + Except for splitting from the right, `rsplit` + behaves like `split`. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + sep : str or unicode, optional + If `sep` is not specified or None, any whitespace string + is a separator. + maxsplit : int, optional + If `maxsplit` is given, at most `maxsplit` splits are done, + the rightmost ones. + + Returns + ------- + out : ndarray + Array of list objects + + See Also + -------- + str.rsplit, split + + Examples + -------- + >>> import numpy as np + >>> a = np.array(['aAaAaA', 'abBABba']) + >>> np.strings.rsplit(a, 'A') # doctest: +SKIP + array([list(['a', 'a', 'a', '']), # doctest: +SKIP + list(['abB', 'Bba'])], dtype=object) # doctest: +SKIP + + """ + # This will return an array of lists of different sizes, so we + # leave it as an object array + return _vec_string( + a, np.object_, 'rsplit', [sep] + _clean_args(maxsplit)) + + +def _splitlines(a, keepends=None): + """ + For each element in `a`, return a list of the lines in the + element, breaking at line boundaries. + + Calls :meth:`str.splitlines` element-wise. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + + keepends : bool, optional + Line breaks are not included in the resulting list unless + keepends is given and true. + + Returns + ------- + out : ndarray + Array of list objects + + See Also + -------- + str.splitlines + + Examples + -------- + >>> np.char.splitlines("first line\\nsecond line") + array(list(['first line', 'second line']), dtype=object) + >>> a = np.array(["first\\nsecond", "third\\nfourth"]) + >>> np.char.splitlines(a) + array([list(['first', 'second']), list(['third', 'fourth'])], dtype=object) + + """ + return _vec_string( + a, np.object_, 'splitlines', _clean_args(keepends)) + + +@set_module("numpy.strings") +def partition(a, sep): + """ + Partition each element in ``a`` around ``sep``. + + For each element in ``a``, split the element at the first + occurrence of ``sep``, and return a 3-tuple containing the part + before the separator, the separator itself, and the part after + the separator. If the separator is not found, the first item of + the tuple will contain the whole string, and the second and third + ones will be the empty string. + + Parameters + ---------- + a : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + Input array + sep : array-like, with ``StringDType``, ``bytes_``, or ``str_`` dtype + Separator to split each string element in ``a``. + + Returns + ------- + out : 3-tuple: + - array with ``StringDType``, ``bytes_`` or ``str_`` dtype with the + part before the separator + - array with ``StringDType``, ``bytes_`` or ``str_`` dtype with the + separator + - array with ``StringDType``, ``bytes_`` or ``str_`` dtype with the + part after the separator + + See Also + -------- + str.partition + + Examples + -------- + >>> import numpy as np + >>> x = np.array(["Numpy is nice!"]) + >>> np.strings.partition(x, " ") + (array(['Numpy'], dtype='>> import numpy as np + >>> a = np.array(['aAaAaA', ' aA ', 'abBABba']) + >>> np.strings.rpartition(a, 'A') + (array(['aAaAa', ' a', 'abB'], dtype='>> import numpy as np + >>> a = np.array(['a1b c', '1bca', 'bca1']) + >>> table = a[0].maketrans('abc', '123') + >>> deletechars = ' ' + >>> np.char.translate(a, table, deletechars) + array(['112 3', '1231', '2311'], dtype=' NDArray[np.bool]: ... +@overload +def equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def not_equal(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def not_equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def not_equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def greater_equal(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def greater_equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def greater_equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def less_equal(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def less_equal(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def less_equal(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def greater(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def greater(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def greater(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def less(x1: U_co, x2: U_co) -> NDArray[np.bool]: ... +@overload +def less(x1: S_co, x2: S_co) -> NDArray[np.bool]: ... +@overload +def less(x1: T_co, x2: T_co) -> NDArray[np.bool]: ... + +@overload +def add(x1: U_co, x2: U_co) -> NDArray[np.str_]: ... +@overload +def add(x1: S_co, x2: S_co) -> NDArray[np.bytes_]: ... +@overload +def add(x1: _StringDTypeSupportsArray, x2: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def add(x1: T_co, x2: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def multiply(a: U_co, i: i_co) -> NDArray[np.str_]: ... +@overload +def multiply(a: S_co, i: i_co) -> NDArray[np.bytes_]: ... +@overload +def multiply(a: _StringDTypeSupportsArray, i: i_co) -> _StringDTypeArray: ... +@overload +def multiply(a: T_co, i: i_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def mod(a: U_co, value: object) -> NDArray[np.str_]: ... +@overload +def mod(a: S_co, value: object) -> NDArray[np.bytes_]: ... +@overload +def mod(a: _StringDTypeSupportsArray, value: object) -> _StringDTypeArray: ... +@overload +def mod(a: T_co, value: object) -> _StringDTypeOrUnicodeArray: ... + +def isalpha(x: UST_co) -> NDArray[np.bool]: ... +def isalnum(a: UST_co) -> NDArray[np.bool]: ... +def isdigit(x: UST_co) -> NDArray[np.bool]: ... +def isspace(x: UST_co) -> NDArray[np.bool]: ... +def isdecimal(x: U_co | T_co) -> NDArray[np.bool]: ... +def isnumeric(x: U_co | T_co) -> NDArray[np.bool]: ... +def islower(a: UST_co) -> NDArray[np.bool]: ... +def istitle(a: UST_co) -> NDArray[np.bool]: ... +def isupper(a: UST_co) -> NDArray[np.bool]: ... + +def str_len(x: UST_co) -> NDArray[np.int_]: ... + +@overload +def find( + a: U_co, + sub: U_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def find( + a: S_co, + sub: S_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def find( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def rfind( + a: U_co, + sub: U_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def rfind( + a: S_co, + sub: S_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def rfind( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def index( + a: U_co, + sub: U_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def index( + a: S_co, + sub: S_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def index( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def rindex( + a: U_co, + sub: U_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def rindex( + a: S_co, + sub: S_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def rindex( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def count( + a: U_co, + sub: U_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def count( + a: S_co, + sub: S_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... +@overload +def count( + a: T_co, + sub: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.int_]: ... + +@overload +def startswith( + a: U_co, + prefix: U_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... +@overload +def startswith( + a: S_co, + prefix: S_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... +@overload +def startswith( + a: T_co, + prefix: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... + +@overload +def endswith( + a: U_co, + suffix: U_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... +@overload +def endswith( + a: S_co, + suffix: S_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... +@overload +def endswith( + a: T_co, + suffix: T_co, + start: i_co = ..., + end: i_co | None = ..., +) -> NDArray[np.bool]: ... + +def decode( + a: S_co, + encoding: str | None = None, + errors: str | None = None, +) -> NDArray[np.str_]: ... +def encode( + a: U_co | T_co, + encoding: str | None = None, + errors: str | None = None, +) -> NDArray[np.bytes_]: ... + +@overload +def expandtabs(a: U_co, tabsize: i_co = ...) -> NDArray[np.str_]: ... +@overload +def expandtabs(a: S_co, tabsize: i_co = ...) -> NDArray[np.bytes_]: ... +@overload +def expandtabs(a: _StringDTypeSupportsArray, tabsize: i_co = ...) -> _StringDTypeArray: ... +@overload +def expandtabs(a: T_co, tabsize: i_co = ...) -> _StringDTypeOrUnicodeArray: ... + +@overload +def center(a: U_co, width: i_co, fillchar: UST_co = " ") -> NDArray[np.str_]: ... +@overload +def center(a: S_co, width: i_co, fillchar: UST_co = " ") -> NDArray[np.bytes_]: ... +@overload +def center(a: _StringDTypeSupportsArray, width: i_co, fillchar: UST_co = " ") -> _StringDTypeArray: ... +@overload +def center(a: T_co, width: i_co, fillchar: UST_co = " ") -> _StringDTypeOrUnicodeArray: ... + +@overload +def ljust(a: U_co, width: i_co, fillchar: UST_co = " ") -> NDArray[np.str_]: ... +@overload +def ljust(a: S_co, width: i_co, fillchar: UST_co = " ") -> NDArray[np.bytes_]: ... +@overload +def ljust(a: _StringDTypeSupportsArray, width: i_co, fillchar: UST_co = " ") -> _StringDTypeArray: ... +@overload +def ljust(a: T_co, width: i_co, fillchar: UST_co = " ") -> _StringDTypeOrUnicodeArray: ... + +@overload +def rjust(a: U_co, width: i_co, fillchar: UST_co = " ") -> NDArray[np.str_]: ... +@overload +def rjust(a: S_co, width: i_co, fillchar: UST_co = " ") -> NDArray[np.bytes_]: ... +@overload +def rjust(a: _StringDTypeSupportsArray, width: i_co, fillchar: UST_co = " ") -> _StringDTypeArray: ... +@overload +def rjust(a: T_co, width: i_co, fillchar: UST_co = " ") -> _StringDTypeOrUnicodeArray: ... + +@overload +def lstrip(a: U_co, chars: U_co | None = None) -> NDArray[np.str_]: ... +@overload +def lstrip(a: S_co, chars: S_co | None = None) -> NDArray[np.bytes_]: ... +@overload +def lstrip(a: _StringDTypeSupportsArray, chars: T_co | None = None) -> _StringDTypeArray: ... +@overload +def lstrip(a: T_co, chars: T_co | None = None) -> _StringDTypeOrUnicodeArray: ... + +@overload +def rstrip(a: U_co, chars: U_co | None = None) -> NDArray[np.str_]: ... +@overload +def rstrip(a: S_co, chars: S_co | None = None) -> NDArray[np.bytes_]: ... +@overload +def rstrip(a: _StringDTypeSupportsArray, chars: T_co | None = None) -> _StringDTypeArray: ... +@overload +def rstrip(a: T_co, chars: T_co | None = None) -> _StringDTypeOrUnicodeArray: ... + +@overload +def strip(a: U_co, chars: U_co | None = None) -> NDArray[np.str_]: ... +@overload +def strip(a: S_co, chars: S_co | None = None) -> NDArray[np.bytes_]: ... +@overload +def strip(a: _StringDTypeSupportsArray, chars: T_co | None = None) -> _StringDTypeArray: ... +@overload +def strip(a: T_co, chars: T_co | None = None) -> _StringDTypeOrUnicodeArray: ... + +@overload +def zfill(a: U_co, width: i_co) -> NDArray[np.str_]: ... +@overload +def zfill(a: S_co, width: i_co) -> NDArray[np.bytes_]: ... +@overload +def zfill(a: _StringDTypeSupportsArray, width: i_co) -> _StringDTypeArray: ... +@overload +def zfill(a: T_co, width: i_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def upper(a: U_co) -> NDArray[np.str_]: ... +@overload +def upper(a: S_co) -> NDArray[np.bytes_]: ... +@overload +def upper(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def upper(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def lower(a: U_co) -> NDArray[np.str_]: ... +@overload +def lower(a: S_co) -> NDArray[np.bytes_]: ... +@overload +def lower(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def lower(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def swapcase(a: U_co) -> NDArray[np.str_]: ... +@overload +def swapcase(a: S_co) -> NDArray[np.bytes_]: ... +@overload +def swapcase(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def swapcase(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def capitalize(a: U_co) -> NDArray[np.str_]: ... +@overload +def capitalize(a: S_co) -> NDArray[np.bytes_]: ... +@overload +def capitalize(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def capitalize(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def title(a: U_co) -> NDArray[np.str_]: ... +@overload +def title(a: S_co) -> NDArray[np.bytes_]: ... +@overload +def title(a: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def title(a: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def replace( + a: U_co, + old: U_co, + new: U_co, + count: i_co = ..., +) -> NDArray[np.str_]: ... +@overload +def replace( + a: S_co, + old: S_co, + new: S_co, + count: i_co = ..., +) -> NDArray[np.bytes_]: ... +@overload +def replace( + a: _StringDTypeSupportsArray, + old: _StringDTypeSupportsArray, + new: _StringDTypeSupportsArray, + count: i_co = ..., +) -> _StringDTypeArray: ... +@overload +def replace( + a: T_co, + old: T_co, + new: T_co, + count: i_co = ..., +) -> _StringDTypeOrUnicodeArray: ... + +@overload +def partition(a: U_co, sep: U_co) -> NDArray[np.str_]: ... +@overload +def partition(a: S_co, sep: S_co) -> NDArray[np.bytes_]: ... +@overload +def partition(a: _StringDTypeSupportsArray, sep: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def partition(a: T_co, sep: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def rpartition(a: U_co, sep: U_co) -> NDArray[np.str_]: ... +@overload +def rpartition(a: S_co, sep: S_co) -> NDArray[np.bytes_]: ... +@overload +def rpartition(a: _StringDTypeSupportsArray, sep: _StringDTypeSupportsArray) -> _StringDTypeArray: ... +@overload +def rpartition(a: T_co, sep: T_co) -> _StringDTypeOrUnicodeArray: ... + +@overload +def translate( + a: U_co, + table: str, + deletechars: str | None = None, +) -> NDArray[np.str_]: ... +@overload +def translate( + a: S_co, + table: str, + deletechars: str | None = None, +) -> NDArray[np.bytes_]: ... +@overload +def translate( + a: _StringDTypeSupportsArray, + table: str, + deletechars: str | None = None, +) -> _StringDTypeArray: ... +@overload +def translate( + a: T_co, + table: str, + deletechars: str | None = None, +) -> _StringDTypeOrUnicodeArray: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/_locales.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/_locales.py new file mode 100644 index 0000000000000000000000000000000000000000..2244e0abda7100e345272073b6728fcb6b2c23b3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/_locales.py @@ -0,0 +1,72 @@ +"""Provide class for testing in French locale + +""" +import sys +import locale + +import pytest + +__ALL__ = ['CommaDecimalPointLocale'] + + +def find_comma_decimal_point_locale(): + """See if platform has a decimal point as comma locale. + + Find a locale that uses a comma instead of a period as the + decimal point. + + Returns + ------- + old_locale: str + Locale when the function was called. + new_locale: {str, None) + First French locale found, None if none found. + + """ + if sys.platform == 'win32': + locales = ['FRENCH'] + else: + locales = ['fr_FR', 'fr_FR.UTF-8', 'fi_FI', 'fi_FI.UTF-8'] + + old_locale = locale.getlocale(locale.LC_NUMERIC) + new_locale = None + try: + for loc in locales: + try: + locale.setlocale(locale.LC_NUMERIC, loc) + new_locale = loc + break + except locale.Error: + pass + finally: + locale.setlocale(locale.LC_NUMERIC, locale=old_locale) + return old_locale, new_locale + + +class CommaDecimalPointLocale: + """Sets LC_NUMERIC to a locale with comma as decimal point. + + Classes derived from this class have setup and teardown methods that run + tests with locale.LC_NUMERIC set to a locale where commas (',') are used as + the decimal point instead of periods ('.'). On exit the locale is restored + to the initial locale. It also serves as context manager with the same + effect. If no such locale is available, the test is skipped. + + """ + (cur_locale, tst_locale) = find_comma_decimal_point_locale() + + def setup_method(self): + if self.tst_locale is None: + pytest.skip("No French locale available") + locale.setlocale(locale.LC_NUMERIC, locale=self.tst_locale) + + def teardown_method(self): + locale.setlocale(locale.LC_NUMERIC, locale=self.cur_locale) + + def __enter__(self): + if self.tst_locale is None: + pytest.skip("No French locale available") + locale.setlocale(locale.LC_NUMERIC, locale=self.tst_locale) + + def __exit__(self, type, value, traceback): + locale.setlocale(locale.LC_NUMERIC, locale=self.cur_locale) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/_natype.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/_natype.py new file mode 100644 index 0000000000000000000000000000000000000000..e529e548cf1ebc066db31431804202e79bfc9d20 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/_natype.py @@ -0,0 +1,198 @@ +# Vendored implementation of pandas.NA, adapted from pandas/_libs/missing.pyx +# +# This is vendored to avoid adding pandas as a test dependency. + +__all__ = ["pd_NA"] + +import numbers + +import numpy as np + +def _create_binary_propagating_op(name, is_divmod=False): + is_cmp = name.strip("_") in ["eq", "ne", "le", "lt", "ge", "gt"] + + def method(self, other): + if ( + other is pd_NA + or isinstance(other, (str, bytes)) + or isinstance(other, (numbers.Number, np.bool)) + or isinstance(other, np.ndarray) + and not other.shape + ): + # Need the other.shape clause to handle NumPy scalars, + # since we do a setitem on `out` below, which + # won't work for NumPy scalars. + if is_divmod: + return pd_NA, pd_NA + else: + return pd_NA + + elif isinstance(other, np.ndarray): + out = np.empty(other.shape, dtype=object) + out[:] = pd_NA + + if is_divmod: + return out, out.copy() + else: + return out + + elif is_cmp and isinstance(other, (np.datetime64, np.timedelta64)): + return pd_NA + + elif isinstance(other, np.datetime64): + if name in ["__sub__", "__rsub__"]: + return pd_NA + + elif isinstance(other, np.timedelta64): + if name in ["__sub__", "__rsub__", "__add__", "__radd__"]: + return pd_NA + + return NotImplemented + + method.__name__ = name + return method + + +def _create_unary_propagating_op(name: str): + def method(self): + return pd_NA + + method.__name__ = name + return method + + +class NAType: + def __repr__(self) -> str: + return "" + + def __format__(self, format_spec) -> str: + try: + return self.__repr__().__format__(format_spec) + except ValueError: + return self.__repr__() + + def __bool__(self): + raise TypeError("boolean value of NA is ambiguous") + + def __hash__(self): + exponent = 31 if is_32bit else 61 + return 2**exponent - 1 + + def __reduce__(self): + return "pd_NA" + + # Binary arithmetic and comparison ops -> propagate + + __add__ = _create_binary_propagating_op("__add__") + __radd__ = _create_binary_propagating_op("__radd__") + __sub__ = _create_binary_propagating_op("__sub__") + __rsub__ = _create_binary_propagating_op("__rsub__") + __mul__ = _create_binary_propagating_op("__mul__") + __rmul__ = _create_binary_propagating_op("__rmul__") + __matmul__ = _create_binary_propagating_op("__matmul__") + __rmatmul__ = _create_binary_propagating_op("__rmatmul__") + __truediv__ = _create_binary_propagating_op("__truediv__") + __rtruediv__ = _create_binary_propagating_op("__rtruediv__") + __floordiv__ = _create_binary_propagating_op("__floordiv__") + __rfloordiv__ = _create_binary_propagating_op("__rfloordiv__") + __mod__ = _create_binary_propagating_op("__mod__") + __rmod__ = _create_binary_propagating_op("__rmod__") + __divmod__ = _create_binary_propagating_op("__divmod__", is_divmod=True) + __rdivmod__ = _create_binary_propagating_op("__rdivmod__", is_divmod=True) + # __lshift__ and __rshift__ are not implemented + + __eq__ = _create_binary_propagating_op("__eq__") + __ne__ = _create_binary_propagating_op("__ne__") + __le__ = _create_binary_propagating_op("__le__") + __lt__ = _create_binary_propagating_op("__lt__") + __gt__ = _create_binary_propagating_op("__gt__") + __ge__ = _create_binary_propagating_op("__ge__") + + # Unary ops + + __neg__ = _create_unary_propagating_op("__neg__") + __pos__ = _create_unary_propagating_op("__pos__") + __abs__ = _create_unary_propagating_op("__abs__") + __invert__ = _create_unary_propagating_op("__invert__") + + # pow has special + def __pow__(self, other): + if other is pd_NA: + return pd_NA + elif isinstance(other, (numbers.Number, np.bool)): + if other == 0: + # returning positive is correct for +/- 0. + return type(other)(1) + else: + return pd_NA + elif util.is_array(other): + return np.where(other == 0, other.dtype.type(1), pd_NA) + + return NotImplemented + + def __rpow__(self, other): + if other is pd_NA: + return pd_NA + elif isinstance(other, (numbers.Number, np.bool)): + if other == 1: + return other + else: + return pd_NA + elif util.is_array(other): + return np.where(other == 1, other, pd_NA) + return NotImplemented + + # Logical ops using Kleene logic + + def __and__(self, other): + if other is False: + return False + elif other is True or other is pd_NA: + return pd_NA + return NotImplemented + + __rand__ = __and__ + + def __or__(self, other): + if other is True: + return True + elif other is False or other is pd_NA: + return pd_NA + return NotImplemented + + __ror__ = __or__ + + def __xor__(self, other): + if other is False or other is True or other is pd_NA: + return pd_NA + return NotImplemented + + __rxor__ = __xor__ + + __array_priority__ = 1000 + _HANDLED_TYPES = (np.ndarray, numbers.Number, str, np.bool) + + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + types = self._HANDLED_TYPES + (NAType,) + for x in inputs: + if not isinstance(x, types): + return NotImplemented + + if method != "__call__": + raise ValueError(f"ufunc method '{method}' not supported for NA") + result = maybe_dispatch_ufunc_to_dunder_op( + self, ufunc, method, *inputs, **kwargs + ) + if result is NotImplemented: + # For a NumPy ufunc that's not a binop, like np.logaddexp + index = [i for i, x in enumerate(inputs) if x is pd_NA][0] + result = np.broadcast_arrays(*inputs)[index] + if result.ndim == 0: + result = result.item() + if ufunc.nout > 1: + result = (pd_NA,) * ufunc.nout + + return result + + +pd_NA = NAType() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/generate_umath_validation_data.cpp b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/generate_umath_validation_data.cpp new file mode 100644 index 0000000000000000000000000000000000000000..88ff45e161f8a37dd8aa9ee9f624db07eb42e743 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/generate_umath_validation_data.cpp @@ -0,0 +1,170 @@ +#include +#include +#include +#include +#include +#include +#include +#include + +struct ufunc { + std::string name; + double (*f32func)(double); + long double (*f64func)(long double); + float f32ulp; + float f64ulp; +}; + +template +T +RandomFloat(T a, T b) +{ + T random = ((T)rand()) / (T)RAND_MAX; + T diff = b - a; + T r = random * diff; + return a + r; +} + +template +void +append_random_array(std::vector &arr, T min, T max, size_t N) +{ + for (size_t ii = 0; ii < N; ++ii) + arr.emplace_back(RandomFloat(min, max)); +} + +template +std::vector +computeTrueVal(const std::vector &in, T2 (*mathfunc)(T2)) +{ + std::vector out; + for (T1 elem : in) { + T2 elem_d = (T2)elem; + T1 out_elem = (T1)mathfunc(elem_d); + out.emplace_back(out_elem); + } + return out; +} + +/* + * FP range: + * [-inf, -maxflt, -1., -minflt, -minden, 0., minden, minflt, 1., maxflt, inf] + */ + +#define MINDEN std::numeric_limits::denorm_min() +#define MINFLT std::numeric_limits::min() +#define MAXFLT std::numeric_limits::max() +#define INF std::numeric_limits::infinity() +#define qNAN std::numeric_limits::quiet_NaN() +#define sNAN std::numeric_limits::signaling_NaN() + +template +std::vector +generate_input_vector(std::string func) +{ + std::vector input = {MINDEN, -MINDEN, MINFLT, -MINFLT, MAXFLT, + -MAXFLT, INF, -INF, qNAN, sNAN, + -1.0, 1.0, 0.0, -0.0}; + + // [-1.0, 1.0] + if ((func == "arcsin") || (func == "arccos") || (func == "arctanh")) { + append_random_array(input, -1.0, 1.0, 700); + } + // (0.0, INF] + else if ((func == "log2") || (func == "log10")) { + append_random_array(input, 0.0, 1.0, 200); + append_random_array(input, MINDEN, MINFLT, 200); + append_random_array(input, MINFLT, 1.0, 200); + append_random_array(input, 1.0, MAXFLT, 200); + } + // (-1.0, INF] + else if (func == "log1p") { + append_random_array(input, -1.0, 1.0, 200); + append_random_array(input, -MINFLT, -MINDEN, 100); + append_random_array(input, -1.0, -MINFLT, 100); + append_random_array(input, MINDEN, MINFLT, 100); + append_random_array(input, MINFLT, 1.0, 100); + append_random_array(input, 1.0, MAXFLT, 100); + } + // [1.0, INF] + else if (func == "arccosh") { + append_random_array(input, 1.0, 2.0, 400); + append_random_array(input, 2.0, MAXFLT, 300); + } + // [-INF, INF] + else { + append_random_array(input, -1.0, 1.0, 100); + append_random_array(input, MINDEN, MINFLT, 100); + append_random_array(input, -MINFLT, -MINDEN, 100); + append_random_array(input, MINFLT, 1.0, 100); + append_random_array(input, -1.0, -MINFLT, 100); + append_random_array(input, 1.0, MAXFLT, 100); + append_random_array(input, -MAXFLT, -100.0, 100); + } + + std::random_shuffle(input.begin(), input.end()); + return input; +} + +int +main() +{ + srand(42); + std::vector umathfunc = { + {"sin", sin, sin, 1.49, 1.00}, + {"cos", cos, cos, 1.49, 1.00}, + {"tan", tan, tan, 3.91, 1.00}, + {"arcsin", asin, asin, 3.12, 1.00}, + {"arccos", acos, acos, 2.1, 1.00}, + {"arctan", atan, atan, 2.3, 1.00}, + {"sinh", sinh, sinh, 1.55, 1.00}, + {"cosh", cosh, cosh, 2.48, 1.00}, + {"tanh", tanh, tanh, 1.38, 2.00}, + {"arcsinh", asinh, asinh, 1.01, 1.00}, + {"arccosh", acosh, acosh, 1.16, 1.00}, + {"arctanh", atanh, atanh, 1.45, 1.00}, + {"cbrt", cbrt, cbrt, 1.94, 2.00}, + //{"exp",exp,exp,3.76,1.00}, + {"exp2", exp2, exp2, 1.01, 1.00}, + {"expm1", expm1, expm1, 2.62, 1.00}, + //{"log",log,log,1.84,1.00}, + {"log10", log10, log10, 3.5, 1.00}, + {"log1p", log1p, log1p, 1.96, 1.0}, + {"log2", log2, log2, 2.12, 1.00}, + }; + + for (int ii = 0; ii < umathfunc.size(); ++ii) { + // ignore sin/cos + if ((umathfunc[ii].name != "sin") && (umathfunc[ii].name != "cos")) { + std::string fileName = + "umath-validation-set-" + umathfunc[ii].name + ".csv"; + std::ofstream txtOut; + txtOut.open(fileName, std::ofstream::trunc); + txtOut << "dtype,input,output,ulperrortol" << std::endl; + + // Single Precision + auto f32in = generate_input_vector(umathfunc[ii].name); + auto f32out = computeTrueVal(f32in, + umathfunc[ii].f32func); + for (int jj = 0; jj < f32in.size(); ++jj) { + txtOut << "np.float32" << std::hex << ",0x" + << *reinterpret_cast(&f32in[jj]) << ",0x" + << *reinterpret_cast(&f32out[jj]) << "," + << ceil(umathfunc[ii].f32ulp) << std::endl; + } + + // Double Precision + auto f64in = generate_input_vector(umathfunc[ii].name); + auto f64out = computeTrueVal( + f64in, umathfunc[ii].f64func); + for (int jj = 0; jj < f64in.size(); ++jj) { + txtOut << "np.float64" << std::hex << ",0x" + << *reinterpret_cast(&f64in[jj]) << ",0x" + << *reinterpret_cast(&f64out[jj]) << "," + << ceil(umathfunc[ii].f64ulp) << std::endl; + } + txtOut.close(); + } + } + return 0; +} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/recarray_from_file.fits b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/recarray_from_file.fits new file mode 100644 index 0000000000000000000000000000000000000000..ca48ee85153645a7510e201d574e9b119c089dce Binary files /dev/null and b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/recarray_from_file.fits differ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-README.txt b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-README.txt new file mode 100644 index 0000000000000000000000000000000000000000..cfc9e4145d10276a4d296f3e189debeb581db780 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-README.txt @@ -0,0 +1,15 @@ +Steps to validate transcendental functions: +1) Add a file 'umath-validation-set-.txt', where ufuncname is name of + the function in NumPy you want to validate +2) The file should contain 4 columns: dtype,input,expected output,ulperror + a. dtype: one of np.float16, np.float32, np.float64 + b. input: floating point input to ufunc in hex. Example: 0x414570a4 + represents 12.340000152587890625 + c. expected output: floating point output for the corresponding input in hex. + This should be computed using a high(er) precision library and then rounded to + same format as the input. + d. ulperror: expected maximum ulp error of the function. This + should be same across all rows of the same dtype. Otherwise, the function is + tested for the maximum ulp error among all entries of that dtype. +3) Add file umath-validation-set-.txt to the test file test_umath_accuracy.py + which will then validate your ufunc. diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arccos.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arccos.csv new file mode 100644 index 0000000000000000000000000000000000000000..82c8595cb4a617eb779c18b3e086d8ceb8d231e0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arccos.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xbddd7f50,0x3fd6eec2,3 +np.float32,0xbe32a20c,0x3fdf8182,3 +np.float32,0xbf607c09,0x4028f84f,3 +np.float32,0x3f25d906,0x3f5db544,3 +np.float32,0x3f01cec8,0x3f84febf,3 +np.float32,0x3f1d5c6e,0x3f68a735,3 +np.float32,0xbf0cab89,0x4009c36d,3 +np.float32,0xbf176b40,0x400d0941,3 +np.float32,0x3f3248b2,0x3f4ce6d4,3 +np.float32,0x3f390b48,0x3f434e0d,3 +np.float32,0xbe261698,0x3fddea43,3 +np.float32,0x3f0e1154,0x3f7b848b,3 +np.float32,0xbf379a3c,0x4017b764,3 +np.float32,0xbeda6f2c,0x4000bd62,3 +np.float32,0xbf6a0c3f,0x402e5d5a,3 +np.float32,0x3ef1d700,0x3f8a17b7,3 +np.float32,0xbf6f4f65,0x4031d30d,3 +np.float32,0x3f2c9eee,0x3f54adfd,3 +np.float32,0x3f3cfb18,0x3f3d8a1e,3 +np.float32,0x3ba80800,0x3fc867d2,3 +np.float32,0x3e723b08,0x3faa7e4d,3 +np.float32,0xbf65820f,0x402bb054,3 +np.float32,0xbee64e7a,0x40026410,3 +np.float32,0x3cb15140,0x3fc64a87,3 +np.float32,0x3f193660,0x3f6ddf2a,3 +np.float32,0xbf0e5b52,0x400a44f7,3 +np.float32,0x3ed55f14,0x3f920a4b,3 +np.float32,0x3dd11a80,0x3fbbf85c,3 +np.float32,0xbf4f5c4b,0x4020f4f9,3 +np.float32,0x3f787532,0x3e792e87,3 +np.float32,0x3f40e6ac,0x3f37a74f,3 +np.float32,0x3f1c1318,0x3f6a47b6,3 +np.float32,0xbe3c48d8,0x3fe0bb70,3 +np.float32,0xbe94d4bc,0x3feed08e,3 +np.float32,0xbe5c3688,0x3fe4ce26,3 +np.float32,0xbf6fe026,0x403239cb,3 +np.float32,0x3ea5983c,0x3f9ee7bf,3 +np.float32,0x3f1471e6,0x3f73c5bb,3 +np.float32,0x3f0e2622,0x3f7b6b87,3 +np.float32,0xbf597180,0x40257ad1,3 +np.float32,0xbeb5321c,0x3ff75d34,3 +np.float32,0x3f5afcd2,0x3f0b6012,3 +np.float32,0xbef2ff88,0x40042e14,3 +np.float32,0xbedc747e,0x400104f5,3 +np.float32,0xbee0c2f4,0x40019dfc,3 +np.float32,0xbf152cd8,0x400c57dc,3 +np.float32,0xbf6cf9e2,0x40303bbe,3 +np.float32,0x3ed9cd74,0x3f90d1a1,3 +np.float32,0xbf754406,0x4036767f,3 +np.float32,0x3f59c5c2,0x3f0db42f,3 +np.float32,0x3f2eefd8,0x3f518684,3 +np.float32,0xbf156bf9,0x400c6b49,3 +np.float32,0xbd550790,0x3fcfb8dc,3 +np.float32,0x3ede58fc,0x3f8f8f77,3 +np.float32,0xbf00ac19,0x40063c4b,3 +np.float32,0x3f4d25ba,0x3f24280e,3 +np.float32,0xbe9568be,0x3feef73c,3 +np.float32,0x3f67d154,0x3ee05547,3 +np.float32,0x3f617226,0x3efcb4f4,3 +np.float32,0xbf3ab41a,0x4018d6cc,3 +np.float32,0xbf3186fe,0x401592cd,3 +np.float32,0x3de3ba50,0x3fbacca9,3 +np.float32,0x3e789f98,0x3fa9ab97,3 +np.float32,0x3f016e08,0x3f8536d8,3 +np.float32,0x3e8b618c,0x3fa5c571,3 +np.float32,0x3eff97bc,0x3f8628a9,3 +np.float32,0xbf6729f0,0x402ca32f,3 +np.float32,0xbebec146,0x3ff9eddc,3 +np.float32,0x3ddb2e60,0x3fbb563a,3 +np.float32,0x3caa8e40,0x3fc66595,3 +np.float32,0xbf5973f2,0x40257bfa,3 +np.float32,0xbdd82c70,0x3fd69916,3 +np.float32,0xbedf4c82,0x400169ef,3 +np.float32,0x3ef8f22c,0x3f881184,3 +np.float32,0xbf1d74d4,0x400eedc9,3 +np.float32,0x3f2e10a6,0x3f52b790,3 +np.float32,0xbf08ecc0,0x4008a628,3 +np.float32,0x3ecb7db4,0x3f94be9f,3 +np.float32,0xbf052ded,0x40078bfc,3 +np.float32,0x3f2ee78a,0x3f5191e4,3 +np.float32,0xbf56f4e1,0x40245194,3 +np.float32,0x3f600a3e,0x3f014a25,3 +np.float32,0x3f3836f8,0x3f44808b,3 +np.float32,0x3ecabfbc,0x3f94f25c,3 +np.float32,0x3c70f500,0x3fc72dec,3 +np.float32,0x3f17c444,0x3f6fabf0,3 +np.float32,0xbf4c22a5,0x401f9a09,3 +np.float32,0xbe4205dc,0x3fe1765a,3 +np.float32,0x3ea49138,0x3f9f2d36,3 +np.float32,0xbece0082,0x3ffe106b,3 +np.float32,0xbe387578,0x3fe03eef,3 +np.float32,0xbf2b6466,0x40137a30,3 +np.float32,0xbe9dadb2,0x3ff12204,3 +np.float32,0xbf56b3f2,0x402433bb,3 +np.float32,0xbdf9b4d8,0x3fd8b51f,3 +np.float32,0x3f58a596,0x3f0fd4b4,3 +np.float32,0xbedf5748,0x40016b6e,3 +np.float32,0x3f446442,0x3f32476f,3 +np.float32,0x3f5be886,0x3f099658,3 +np.float32,0x3ea1e44c,0x3f9fe1de,3 +np.float32,0xbf11e9b8,0x400b585f,3 +np.float32,0xbf231f8f,0x4010befb,3 +np.float32,0xbf4395ea,0x401c2dd0,3 +np.float32,0x3e9e7784,0x3fa0c8a6,3 +np.float32,0xbe255184,0x3fddd14c,3 +np.float32,0x3f70d25e,0x3eb13148,3 +np.float32,0x3f220cdc,0x3f62a722,3 +np.float32,0xbd027bf0,0x3fcd23e7,3 +np.float32,0x3e4ef8b8,0x3faf02d2,3 +np.float32,0xbf76fc6b,0x40380728,3 +np.float32,0xbf57e761,0x4024c1cd,3 +np.float32,0x3ed4fc20,0x3f922580,3 +np.float32,0xbf09b64a,0x4008e1db,3 +np.float32,0x3f21ca62,0x3f62fcf5,3 +np.float32,0xbe55f610,0x3fe40170,3 +np.float32,0xbc0def80,0x3fca2bbb,3 +np.float32,0xbebc8764,0x3ff9547b,3 +np.float32,0x3ec1b200,0x3f9766d1,3 +np.float32,0xbf4ee44e,0x4020c1ee,3 +np.float32,0xbea85852,0x3ff3f22a,3 +np.float32,0xbf195c0c,0x400da3d3,3 +np.float32,0xbf754b5d,0x40367ce8,3 +np.float32,0xbdcbfe50,0x3fd5d52b,3 +np.float32,0xbf1adb87,0x400e1be3,3 +np.float32,0xbf6f8491,0x4031f898,3 +np.float32,0xbf6f9ae7,0x4032086e,3 +np.float32,0xbf52b3f0,0x40226790,3 +np.float32,0xbf698452,0x402e09f4,3 +np.float32,0xbf43dc9a,0x401c493a,3 +np.float32,0xbf165f7f,0x400cb664,3 +np.float32,0x3e635468,0x3fac682f,3 +np.float32,0xbe8cf2b6,0x3fecc28a,3 +np.float32,0x7f7fffff,0x7fc00000,3 +np.float32,0xbf4c6513,0x401fb597,3 +np.float32,0xbf02b8f8,0x4006d47e,3 +np.float32,0x3ed3759c,0x3f9290c8,3 +np.float32,0xbf2a7a5f,0x40132b98,3 +np.float32,0xbae65000,0x3fc9496f,3 +np.float32,0x3f65f5ea,0x3ee8ef07,3 +np.float32,0xbe7712fc,0x3fe84106,3 +np.float32,0xbb9ff700,0x3fc9afd2,3 +np.float32,0x3d8d87a0,0x3fc03592,3 +np.float32,0xbefc921c,0x40058c23,3 +np.float32,0xbf286566,0x401279d8,3 +np.float32,0x3f53857e,0x3f192eaf,3 +np.float32,0xbee9b0f4,0x4002dd90,3 +np.float32,0x3f4041f8,0x3f38a14a,3 +np.float32,0x3f54ea96,0x3f16b02d,3 +np.float32,0x3ea50ef8,0x3f9f0c01,3 +np.float32,0xbeaad2dc,0x3ff49a4a,3 +np.float32,0xbec428c8,0x3ffb636f,3 +np.float32,0xbda46178,0x3fd358c7,3 +np.float32,0xbefacfc4,0x40054b7f,3 +np.float32,0xbf7068f9,0x40329c85,3 +np.float32,0x3f70b850,0x3eb1caa7,3 +np.float32,0x7fa00000,0x7fe00000,3 +np.float32,0x80000000,0x3fc90fdb,3 +np.float32,0x3f68d5c8,0x3edb7cf3,3 +np.float32,0x3d9443d0,0x3fbfc98a,3 +np.float32,0xff7fffff,0x7fc00000,3 +np.float32,0xbeee7ba8,0x40038a5e,3 +np.float32,0xbf0aaaba,0x40092a73,3 +np.float32,0x3f36a4e8,0x3f46c0ee,3 +np.float32,0x3ed268e4,0x3f92da82,3 +np.float32,0xbee6002c,0x4002591b,3 +np.float32,0xbe8f2752,0x3fed5576,3 +np.float32,0x3f525912,0x3f1b40e0,3 +np.float32,0xbe8e151e,0x3fed0e16,3 +np.float32,0x1,0x3fc90fdb,3 +np.float32,0x3ee23b84,0x3f8e7ae1,3 +np.float32,0xbf5961ca,0x40257361,3 +np.float32,0x3f6bbca0,0x3ecd14cd,3 +np.float32,0x3e27b230,0x3fb4014d,3 +np.float32,0xbf183bb8,0x400d49fc,3 +np.float32,0x3f57759c,0x3f120b68,3 +np.float32,0xbd6994c0,0x3fd05d84,3 +np.float32,0xbf1dd684,0x400f0cc8,3 +np.float32,0xbececc1c,0x3ffe480a,3 +np.float32,0xbf48855f,0x401e206d,3 +np.float32,0x3f28c922,0x3f59d382,3 +np.float32,0xbf65c094,0x402bd3b0,3 +np.float32,0x3f657d42,0x3eeb11dd,3 +np.float32,0xbed32d4e,0x3fff7b15,3 +np.float32,0xbf31af02,0x4015a0b1,3 +np.float32,0x3d89eb00,0x3fc06f7f,3 +np.float32,0x3dac2830,0x3fbe4a17,3 +np.float32,0x3f7f7cb6,0x3d81a7df,3 +np.float32,0xbedbb570,0x4000ea82,3 +np.float32,0x3db37830,0x3fbdd4a8,3 +np.float32,0xbf376f48,0x4017a7fd,3 +np.float32,0x3f319f12,0x3f4dd2c9,3 +np.float32,0x7fc00000,0x7fc00000,3 +np.float32,0x3f1b4f70,0x3f6b3e31,3 +np.float32,0x3e33c880,0x3fb278d1,3 +np.float32,0x3f2796e0,0x3f5b69bd,3 +np.float32,0x3f4915d6,0x3f2ad4d0,3 +np.float32,0x3e4db120,0x3faf2ca0,3 +np.float32,0x3ef03dd4,0x3f8a8ba9,3 +np.float32,0x3e96ca88,0x3fa2cbf7,3 +np.float32,0xbeb136ce,0x3ff64d2b,3 +np.float32,0xbf2f3938,0x4014c75e,3 +np.float32,0x3f769dde,0x3e8b0d76,3 +np.float32,0x3f67cec8,0x3ee06148,3 +np.float32,0x3f0a1ade,0x3f80204e,3 +np.float32,0x3e4b9718,0x3faf7144,3 +np.float32,0x3cccb480,0x3fc5dcf3,3 +np.float32,0x3caeb740,0x3fc654f0,3 +np.float32,0x3f684e0e,0x3ede0678,3 +np.float32,0x3f0ba93c,0x3f7e6663,3 +np.float32,0xbf12bbc4,0x400b985e,3 +np.float32,0xbf2a8e1a,0x40133235,3 +np.float32,0x3f42029c,0x3f35f5c5,3 +np.float32,0x3eed1728,0x3f8b6f9c,3 +np.float32,0xbe5779ac,0x3fe432fd,3 +np.float32,0x3f6ed8b8,0x3ebc7e4b,3 +np.float32,0x3eea25b0,0x3f8c43c7,3 +np.float32,0x3f1988a4,0x3f6d786b,3 +np.float32,0xbe751674,0x3fe7ff8a,3 +np.float32,0xbe9f7418,0x3ff1997d,3 +np.float32,0x3dca11d0,0x3fbc6979,3 +np.float32,0x3f795226,0x3e6a6cab,3 +np.float32,0xbea780e0,0x3ff3b926,3 +np.float32,0xbed92770,0x4000901e,3 +np.float32,0xbf3e9f8c,0x401a49f8,3 +np.float32,0x3f0f7054,0x3f79ddb2,3 +np.float32,0x3a99d400,0x3fc8e966,3 +np.float32,0xbef082b0,0x4003d3c6,3 +np.float32,0xbf0d0790,0x4009defb,3 +np.float32,0xbf1649da,0x400cafb4,3 +np.float32,0xbea5aca8,0x3ff33d5c,3 +np.float32,0xbf4e1843,0x40206ba1,3 +np.float32,0xbe3d7d5c,0x3fe0e2ad,3 +np.float32,0xbf0e802d,0x400a500e,3 +np.float32,0xbf0de8f0,0x400a2295,3 +np.float32,0xbf3016ba,0x4015137e,3 +np.float32,0x3f36b1ea,0x3f46ae5d,3 +np.float32,0xbd27f170,0x3fce4fc7,3 +np.float32,0x3e96ec54,0x3fa2c31f,3 +np.float32,0x3eb4dfdc,0x3f9ad87d,3 +np.float32,0x3f5cac6c,0x3f0815cc,3 +np.float32,0xbf0489aa,0x40075bf1,3 +np.float32,0x3df010c0,0x3fba05f5,3 +np.float32,0xbf229f4a,0x4010956a,3 +np.float32,0x3f75e474,0x3e905a99,3 +np.float32,0xbcece6a0,0x3fccc397,3 +np.float32,0xbdb41528,0x3fd454e7,3 +np.float32,0x3ec8b2f8,0x3f958118,3 +np.float32,0x3f5eaa70,0x3f041a1d,3 +np.float32,0xbf32e1cc,0x40160b91,3 +np.float32,0xbe8e6026,0x3fed219c,3 +np.float32,0x3e6b3160,0x3fab65e3,3 +np.float32,0x3e6d7460,0x3fab1b81,3 +np.float32,0xbf13fbde,0x400bfa3b,3 +np.float32,0xbe8235ec,0x3fe9f9e3,3 +np.float32,0x3d71c4a0,0x3fc18096,3 +np.float32,0x3eb769d0,0x3f9a2aa0,3 +np.float32,0xbf68cb3b,0x402d99e4,3 +np.float32,0xbd917610,0x3fd22932,3 +np.float32,0x3d3cba60,0x3fc3297f,3 +np.float32,0xbf383cbe,0x4017f1cc,3 +np.float32,0xbeee96d0,0x40038e34,3 +np.float32,0x3ec89cb4,0x3f958725,3 +np.float32,0x3ebf92d8,0x3f97f95f,3 +np.float32,0x3f30f3da,0x3f4ec021,3 +np.float32,0xbd26b560,0x3fce45e4,3 +np.float32,0xbec0eb12,0x3ffa8330,3 +np.float32,0x3f6d592a,0x3ec4a6c1,3 +np.float32,0x3ea6d39c,0x3f9e9463,3 +np.float32,0x3e884184,0x3fa6951e,3 +np.float32,0x3ea566c4,0x3f9ef4d1,3 +np.float32,0x3f0c8f4c,0x3f7d5380,3 +np.float32,0x3f28e1ba,0x3f59b2cb,3 +np.float32,0x3f798538,0x3e66e1c3,3 +np.float32,0xbe2889b8,0x3fde39b8,3 +np.float32,0x3f3da05e,0x3f3c949c,3 +np.float32,0x3f24d700,0x3f5f073e,3 +np.float32,0xbe5b5768,0x3fe4b198,3 +np.float32,0xbed3b03a,0x3fff9f05,3 +np.float32,0x3e8a1c4c,0x3fa619eb,3 +np.float32,0xbf075d24,0x40083030,3 +np.float32,0x3f765648,0x3e8d1f52,3 +np.float32,0xbf70fc5e,0x403308bb,3 +np.float32,0x3f557ae8,0x3f15ab76,3 +np.float32,0x3f02f7ea,0x3f84521c,3 +np.float32,0x3f7ebbde,0x3dcbc5c5,3 +np.float32,0xbefbdfc6,0x40057285,3 +np.float32,0x3ec687ac,0x3f9617d9,3 +np.float32,0x3e4831c8,0x3fafe01b,3 +np.float32,0x3e25cde0,0x3fb43ea8,3 +np.float32,0x3e4f2ab8,0x3faefc70,3 +np.float32,0x3ea60ae4,0x3f9ec973,3 +np.float32,0xbf1ed55f,0x400f5dde,3 +np.float32,0xbf5ad4aa,0x40262479,3 +np.float32,0x3e8b3594,0x3fa5d0de,3 +np.float32,0x3f3a77aa,0x3f413c80,3 +np.float32,0xbf07512b,0x40082ca9,3 +np.float32,0x3f33d990,0x3f4ab5e5,3 +np.float32,0x3f521556,0x3f1bb78f,3 +np.float32,0xbecf6036,0x3ffe7086,3 +np.float32,0x3db91bd0,0x3fbd7a11,3 +np.float32,0x3ef63a74,0x3f88d839,3 +np.float32,0xbf2f1116,0x4014b99c,3 +np.float32,0xbf17fdc0,0x400d36b9,3 +np.float32,0xbe87df2c,0x3feb7117,3 +np.float32,0x80800000,0x3fc90fdb,3 +np.float32,0x3ee24c1c,0x3f8e7641,3 +np.float32,0x3f688dce,0x3edcd644,3 +np.float32,0xbf0f4e1c,0x400a8e1b,3 +np.float32,0x0,0x3fc90fdb,3 +np.float32,0x3f786eba,0x3e7999d4,3 +np.float32,0xbf404f80,0x401aeca8,3 +np.float32,0xbe9ffb6a,0x3ff1bd18,3 +np.float32,0x3f146bfc,0x3f73ccfd,3 +np.float32,0xbe47d630,0x3fe233ee,3 +np.float32,0xbe95847c,0x3feefe7c,3 +np.float32,0xbf135df0,0x400bc9e5,3 +np.float32,0x3ea19f3c,0x3f9ff411,3 +np.float32,0x3f235e20,0x3f60f247,3 +np.float32,0xbec789ec,0x3ffc4def,3 +np.float32,0x3f04b656,0x3f834db6,3 +np.float32,0x3dfaf440,0x3fb95679,3 +np.float32,0xbe4a7f28,0x3fe28abe,3 +np.float32,0x3ed4850c,0x3f92463b,3 +np.float32,0x3ec4ba5c,0x3f9694dd,3 +np.float32,0xbce24ca0,0x3fcc992b,3 +np.float32,0xbf5b7c6e,0x402675a0,3 +np.float32,0xbea3ce2a,0x3ff2bf04,3 +np.float32,0x3db02c60,0x3fbe0998,3 +np.float32,0x3c47b780,0x3fc78069,3 +np.float32,0x3ed33b20,0x3f92a0d5,3 +np.float32,0xbf4556d7,0x401cdcde,3 +np.float32,0xbe1b6e28,0x3fdc90ec,3 +np.float32,0xbf3289b7,0x4015ecd0,3 +np.float32,0x3df3f240,0x3fb9c76d,3 +np.float32,0x3eefa7d0,0x3f8ab61d,3 +np.float32,0xbe945838,0x3feeb006,3 +np.float32,0xbf0b1386,0x400949a3,3 +np.float32,0x3f77e546,0x3e812cc1,3 +np.float32,0x3e804ba0,0x3fa8a480,3 +np.float32,0x3f43dcea,0x3f331a06,3 +np.float32,0x3eb87450,0x3f99e33c,3 +np.float32,0x3e5f4898,0x3facecea,3 +np.float32,0x3f646640,0x3eeff10e,3 +np.float32,0x3f1aa832,0x3f6c1051,3 +np.float32,0xbebf6bfa,0x3ffa1bdc,3 +np.float32,0xbb77f300,0x3fc98bd4,3 +np.float32,0x3f3587fe,0x3f485645,3 +np.float32,0x3ef85f34,0x3f883b8c,3 +np.float32,0x3f50e584,0x3f1dc82c,3 +np.float32,0x3f1d30a8,0x3f68deb0,3 +np.float32,0x3ee75a78,0x3f8d0c86,3 +np.float32,0x3f2c023a,0x3f5581e1,3 +np.float32,0xbf074e34,0x40082bca,3 +np.float32,0xbead71f0,0x3ff54c6d,3 +np.float32,0xbf39ed88,0x40188e69,3 +np.float32,0x3f5d2fe6,0x3f07118b,3 +np.float32,0xbf1f79f8,0x400f9267,3 +np.float32,0x3e900c58,0x3fa48e99,3 +np.float32,0xbf759cb2,0x4036c47b,3 +np.float32,0x3f63329c,0x3ef5359c,3 +np.float32,0xbf5d6755,0x40276709,3 +np.float32,0x3f2ce31c,0x3f54519a,3 +np.float32,0x7f800000,0x7fc00000,3 +np.float32,0x3f1bf50e,0x3f6a6d9a,3 +np.float32,0x3f258334,0x3f5e25d8,3 +np.float32,0xbf661a3f,0x402c06ac,3 +np.float32,0x3d1654c0,0x3fc45cef,3 +np.float32,0xbef14a36,0x4003f009,3 +np.float32,0xbf356051,0x4016ec3a,3 +np.float32,0x3f6ccc42,0x3ec79193,3 +np.float32,0xbf2fe3d6,0x401501f9,3 +np.float32,0x3deedc80,0x3fba195b,3 +np.float32,0x3f2e5a28,0x3f52533e,3 +np.float32,0x3e6b68b8,0x3fab5ec8,3 +np.float32,0x3e458240,0x3fb037b7,3 +np.float32,0xbf24bab0,0x401144cb,3 +np.float32,0x3f600f4c,0x3f013fb2,3 +np.float32,0x3f021a04,0x3f84d316,3 +np.float32,0x3f741732,0x3e9cc948,3 +np.float32,0x3f0788aa,0x3f81a5b0,3 +np.float32,0x3f28802c,0x3f5a347c,3 +np.float32,0x3c9eb400,0x3fc69500,3 +np.float32,0x3e5d11e8,0x3fad357a,3 +np.float32,0x3d921250,0x3fbfecb9,3 +np.float32,0x3f354866,0x3f48b066,3 +np.float32,0xbf72cf43,0x40346d84,3 +np.float32,0x3eecdbb8,0x3f8b805f,3 +np.float32,0xbee585d0,0x400247fd,3 +np.float32,0x3e3607a8,0x3fb22fc6,3 +np.float32,0xbf0cb7d6,0x4009c71c,3 +np.float32,0xbf56b230,0x402432ec,3 +np.float32,0xbf4ced02,0x401fee29,3 +np.float32,0xbf3a325c,0x4018a776,3 +np.float32,0x3ecae8bc,0x3f94e732,3 +np.float32,0xbe48c7e8,0x3fe252bd,3 +np.float32,0xbe175d7c,0x3fdc0d5b,3 +np.float32,0x3ea78dac,0x3f9e632d,3 +np.float32,0xbe7434a8,0x3fe7e279,3 +np.float32,0x3f1f9e02,0x3f65c7b9,3 +np.float32,0xbe150f2c,0x3fdbc2c2,3 +np.float32,0x3ee13480,0x3f8ec423,3 +np.float32,0x3ecb7d54,0x3f94beb9,3 +np.float32,0x3f1cef42,0x3f693181,3 +np.float32,0xbf1ec06a,0x400f5730,3 +np.float32,0xbe112acc,0x3fdb44e8,3 +np.float32,0xbe77b024,0x3fe85545,3 +np.float32,0x3ec86fe0,0x3f959353,3 +np.float32,0x3f36b326,0x3f46ac9a,3 +np.float32,0x3e581a70,0x3fadd829,3 +np.float32,0xbf032c0c,0x4006f5f9,3 +np.float32,0xbf43b1fd,0x401c38b1,3 +np.float32,0x3f3701b4,0x3f463c5c,3 +np.float32,0x3f1a995a,0x3f6c22f1,3 +np.float32,0xbf05de0b,0x4007bf97,3 +np.float32,0x3d4bd960,0x3fc2b063,3 +np.float32,0x3f0e1618,0x3f7b7ed0,3 +np.float32,0x3edfd420,0x3f8f2628,3 +np.float32,0xbf6662fe,0x402c3047,3 +np.float32,0x3ec0690c,0x3f97bf9b,3 +np.float32,0xbeaf4146,0x3ff5c7a0,3 +np.float32,0x3f5e7764,0x3f04816d,3 +np.float32,0xbedd192c,0x40011bc5,3 +np.float32,0x3eb76350,0x3f9a2c5e,3 +np.float32,0xbed8108c,0x400069a5,3 +np.float32,0xbe59f31c,0x3fe48401,3 +np.float32,0xbea3e1e6,0x3ff2c439,3 +np.float32,0x3e26d1f8,0x3fb41db5,3 +np.float32,0x3f3a0a7c,0x3f41dba5,3 +np.float32,0x3ebae068,0x3f993ce4,3 +np.float32,0x3f2d8e30,0x3f536942,3 +np.float32,0xbe838bbe,0x3fea5247,3 +np.float32,0x3ebe4420,0x3f98538f,3 +np.float32,0xbcc59b80,0x3fcc265c,3 +np.float32,0x3eebb5c8,0x3f8bd334,3 +np.float32,0xbafc3400,0x3fc94ee8,3 +np.float32,0xbf63ddc1,0x402ac683,3 +np.float32,0xbeabdf80,0x3ff4e18f,3 +np.float32,0x3ea863f0,0x3f9e2a78,3 +np.float32,0x3f45b292,0x3f303bc1,3 +np.float32,0xbe68aa60,0x3fe666bf,3 +np.float32,0x3eb9de18,0x3f998239,3 +np.float32,0xbf719d85,0x4033815e,3 +np.float32,0x3edef9a8,0x3f8f62db,3 +np.float32,0xbd7781c0,0x3fd0cd1e,3 +np.float32,0x3f0b3b90,0x3f7ee92a,3 +np.float32,0xbe3eb3b4,0x3fe10a27,3 +np.float32,0xbf31a4c4,0x40159d23,3 +np.float32,0x3e929434,0x3fa3e5b0,3 +np.float32,0xbeb1a90e,0x3ff66b9e,3 +np.float32,0xbeba9b5e,0x3ff8d048,3 +np.float32,0xbf272a84,0x4012119e,3 +np.float32,0x3f1ebbd0,0x3f66e889,3 +np.float32,0x3ed3cdc8,0x3f927893,3 +np.float32,0xbf50dfce,0x40219b58,3 +np.float32,0x3f0c02de,0x3f7dfb62,3 +np.float32,0xbf694de3,0x402de8d2,3 +np.float32,0xbeaeb13e,0x3ff5a14f,3 +np.float32,0xbf61aa7a,0x40299702,3 +np.float32,0xbf13d159,0x400bed35,3 +np.float32,0xbeecd034,0x40034e0b,3 +np.float32,0xbe50c2e8,0x3fe35761,3 +np.float32,0x3f714406,0x3eae8e57,3 +np.float32,0xbf1ca486,0x400eabd8,3 +np.float32,0x3f5858cc,0x3f106497,3 +np.float32,0x3f670288,0x3ee41c84,3 +np.float32,0xbf20bd2c,0x400ff9f5,3 +np.float32,0xbe29afd8,0x3fde5eff,3 +np.float32,0xbf635e6a,0x402a80f3,3 +np.float32,0x3e82b7b0,0x3fa80446,3 +np.float32,0x3e982e7c,0x3fa26ece,3 +np.float32,0x3d9f0e00,0x3fbf1c6a,3 +np.float32,0x3e8299b4,0x3fa80c07,3 +np.float32,0xbf0529c1,0x40078ac3,3 +np.float32,0xbf403b8a,0x401ae519,3 +np.float32,0xbe57e09c,0x3fe44027,3 +np.float32,0x3ea1c8f4,0x3f9fe913,3 +np.float32,0xbe216a94,0x3fdd52d0,3 +np.float32,0x3f59c442,0x3f0db709,3 +np.float32,0xbd636260,0x3fd02bdd,3 +np.float32,0xbdbbc788,0x3fd4d08d,3 +np.float32,0x3dd19560,0x3fbbf0a3,3 +np.float32,0x3f060ad4,0x3f828641,3 +np.float32,0x3b102e00,0x3fc8c7c4,3 +np.float32,0x3f42b3b8,0x3f34e5a6,3 +np.float32,0x3f0255ac,0x3f84b071,3 +np.float32,0xbf014898,0x40066996,3 +np.float32,0x3e004dc0,0x3fb8fb51,3 +np.float32,0xbf594ff8,0x40256af2,3 +np.float32,0x3efafddc,0x3f877b80,3 +np.float32,0xbf5f0780,0x40283899,3 +np.float32,0x3ee95e54,0x3f8c7bcc,3 +np.float32,0x3eba2f0c,0x3f996c80,3 +np.float32,0x3f37721c,0x3f459b68,3 +np.float32,0x3e2be780,0x3fb378bf,3 +np.float32,0x3e550270,0x3fae3d69,3 +np.float32,0x3e0f9500,0x3fb70e0a,3 +np.float32,0xbf51974a,0x4021eaf4,3 +np.float32,0x3f393832,0x3f430d05,3 +np.float32,0x3f3df16a,0x3f3c1bd8,3 +np.float32,0xbd662340,0x3fd041ed,3 +np.float32,0x3f7e8418,0x3ddc9fce,3 +np.float32,0xbf392734,0x40184672,3 +np.float32,0x3ee3b278,0x3f8e124e,3 +np.float32,0x3eed4808,0x3f8b61d2,3 +np.float32,0xbf6fccbd,0x40322beb,3 +np.float32,0x3e3ecdd0,0x3fb1123b,3 +np.float32,0x3f4419e0,0x3f32bb45,3 +np.float32,0x3f595e00,0x3f0e7914,3 +np.float32,0xbe8c1486,0x3fec88c6,3 +np.float32,0xbf800000,0x40490fdb,3 +np.float32,0xbdaf5020,0x3fd4084d,3 +np.float32,0xbf407660,0x401afb63,3 +np.float32,0x3f0c3aa8,0x3f7db8b8,3 +np.float32,0xbcdb5980,0x3fcc7d5b,3 +np.float32,0x3f4738d4,0x3f2dd1ed,3 +np.float32,0x3f4d7064,0x3f23ab14,3 +np.float32,0xbeb1d576,0x3ff67774,3 +np.float32,0xbf507166,0x40216bb3,3 +np.float32,0x3e86484c,0x3fa71813,3 +np.float32,0x3f09123e,0x3f80bd35,3 +np.float32,0xbe9abe0e,0x3ff05cb2,3 +np.float32,0x3f3019dc,0x3f4fed21,3 +np.float32,0xbe99e00e,0x3ff0227d,3 +np.float32,0xbf155ec5,0x400c6739,3 +np.float32,0x3f5857ba,0x3f106698,3 +np.float32,0x3edf619c,0x3f8f45fb,3 +np.float32,0xbf5ab76a,0x40261664,3 +np.float32,0x3e54b5a8,0x3fae4738,3 +np.float32,0xbee92772,0x4002ca40,3 +np.float32,0x3f2fd610,0x3f504a7a,3 +np.float32,0xbf38521c,0x4017f97e,3 +np.float32,0xff800000,0x7fc00000,3 +np.float32,0x3e2da348,0x3fb34077,3 +np.float32,0x3f2f85fa,0x3f50b894,3 +np.float32,0x3e88f9c8,0x3fa66551,3 +np.float32,0xbf61e570,0x4029b648,3 +np.float32,0xbeab362c,0x3ff4b4a1,3 +np.float32,0x3ec6c310,0x3f9607bd,3 +np.float32,0x3f0d7bda,0x3f7c3810,3 +np.float32,0xbeba5d36,0x3ff8bf99,3 +np.float32,0x3f4b0554,0x3f27adda,3 +np.float32,0x3f60f5dc,0x3efebfb3,3 +np.float32,0x3f36ce2c,0x3f468603,3 +np.float32,0xbe70afac,0x3fe76e8e,3 +np.float32,0x3f673350,0x3ee339b5,3 +np.float32,0xbe124cf0,0x3fdb698c,3 +np.float32,0xbf1243dc,0x400b73d0,3 +np.float32,0x3f3c8850,0x3f3e3407,3 +np.float32,0x3ea02f24,0x3fa05500,3 +np.float32,0xbeffed34,0x400607db,3 +np.float32,0x3f5c75c2,0x3f08817c,3 +np.float32,0x3f4b2fbe,0x3f27682d,3 +np.float32,0x3ee47c34,0x3f8dd9f9,3 +np.float32,0x3f50d48c,0x3f1de584,3 +np.float32,0x3f12dc5e,0x3f75b628,3 +np.float32,0xbefe7e4a,0x4005d2f4,3 +np.float32,0xbec2e846,0x3ffb0cbc,3 +np.float32,0xbedc3036,0x4000fb80,3 +np.float32,0xbf48aedc,0x401e311f,3 +np.float32,0x3f6e032e,0x3ec11363,3 +np.float32,0xbf60de15,0x40292b72,3 +np.float32,0x3f06585e,0x3f8258ba,3 +np.float32,0x3ef49b98,0x3f894e66,3 +np.float32,0x3cc5fe00,0x3fc5f7cf,3 +np.float32,0xbf7525c5,0x40365c2c,3 +np.float32,0x3f64f9f8,0x3eed5fb2,3 +np.float32,0x3e8849c0,0x3fa692fb,3 +np.float32,0x3e50c878,0x3faec79e,3 +np.float32,0x3ed61530,0x3f91d831,3 +np.float32,0xbf54872e,0x40233724,3 +np.float32,0xbf52ee7f,0x4022815e,3 +np.float32,0xbe708c24,0x3fe769fc,3 +np.float32,0xbf26fc54,0x40120260,3 +np.float32,0x3f226e8a,0x3f6228db,3 +np.float32,0xbef30406,0x40042eb8,3 +np.float32,0x3f5d996c,0x3f063f5f,3 +np.float32,0xbf425f9c,0x401bb618,3 +np.float32,0x3e4bb260,0x3faf6dc9,3 +np.float32,0xbe52d5a4,0x3fe39b29,3 +np.float32,0xbe169cf0,0x3fdbf505,3 +np.float32,0xbedfc422,0x40017a8e,3 +np.float32,0x3d8ffef0,0x3fc00e05,3 +np.float32,0xbf12bdab,0x400b98f2,3 +np.float32,0x3f295d0a,0x3f590e88,3 +np.float32,0x3f49d8e4,0x3f2998aa,3 +np.float32,0xbef914f4,0x40050c12,3 +np.float32,0xbf4ea2b5,0x4020a61e,3 +np.float32,0xbf3a89e5,0x4018c762,3 +np.float32,0x3e8707b4,0x3fa6e67a,3 +np.float32,0x3ac55400,0x3fc8de86,3 +np.float32,0x800000,0x3fc90fdb,3 +np.float32,0xbeb9762c,0x3ff8819b,3 +np.float32,0xbebbe23c,0x3ff92815,3 +np.float32,0xbf598c88,0x402587a1,3 +np.float32,0x3e95d864,0x3fa30b4a,3 +np.float32,0x3f7f6f40,0x3d882486,3 +np.float32,0xbf53658c,0x4022b604,3 +np.float32,0xbf2a35f2,0x401314ad,3 +np.float32,0x3eb14380,0x3f9bcf28,3 +np.float32,0x3f0e0c64,0x3f7b8a7a,3 +np.float32,0x3d349920,0x3fc36a9a,3 +np.float32,0xbec2092c,0x3ffad071,3 +np.float32,0xbe1d08e8,0x3fdcc4e0,3 +np.float32,0xbf008968,0x40063243,3 +np.float32,0xbefad582,0x40054c51,3 +np.float32,0xbe52d010,0x3fe39a72,3 +np.float32,0x3f4afdac,0x3f27ba6b,3 +np.float32,0x3f6c483c,0x3eca4408,3 +np.float32,0xbef3cb68,0x40044b0c,3 +np.float32,0x3e94687c,0x3fa36b6f,3 +np.float32,0xbf64ae5c,0x402b39bb,3 +np.float32,0xbf0022b4,0x40061497,3 +np.float32,0x80000001,0x3fc90fdb,3 +np.float32,0x3f25bcd0,0x3f5dda4b,3 +np.float32,0x3ed91b40,0x3f9102d7,3 +np.float32,0x3f800000,0x0,3 +np.float32,0xbebc6aca,0x3ff94cca,3 +np.float32,0x3f239e9a,0x3f609e7d,3 +np.float32,0xbf7312be,0x4034a305,3 +np.float32,0x3efd16d0,0x3f86e148,3 +np.float32,0x3f52753a,0x3f1b0f72,3 +np.float32,0xbde58960,0x3fd7702c,3 +np.float32,0x3ef88580,0x3f883099,3 +np.float32,0x3eebaefc,0x3f8bd51e,3 +np.float32,0x3e877d2c,0x3fa6c807,3 +np.float32,0x3f1a0324,0x3f6cdf32,3 +np.float32,0xbedfe20a,0x40017eb6,3 +np.float32,0x3f205a3c,0x3f64d69d,3 +np.float32,0xbeed5b7c,0x400361b0,3 +np.float32,0xbf69ba10,0x402e2ad0,3 +np.float32,0x3c4fe200,0x3fc77014,3 +np.float32,0x3f043310,0x3f839a69,3 +np.float32,0xbeaf359a,0x3ff5c485,3 +np.float32,0x3db3f110,0x3fbdcd12,3 +np.float32,0x3e24af88,0x3fb462ed,3 +np.float32,0xbf34e858,0x4016c1c8,3 +np.float32,0x3f3334f2,0x3f4b9cd0,3 +np.float32,0xbf145882,0x400c16a2,3 +np.float32,0xbf541c38,0x40230748,3 +np.float32,0x3eba7e10,0x3f99574b,3 +np.float32,0xbe34c6e0,0x3fdfc731,3 +np.float32,0xbe957abe,0x3feefbf0,3 +np.float32,0xbf595a59,0x40256fdb,3 +np.float32,0xbdedc7b8,0x3fd7f4f0,3 +np.float32,0xbf627c02,0x402a06a9,3 +np.float32,0x3f339b78,0x3f4b0d18,3 +np.float32,0xbf2df6d2,0x40145929,3 +np.float32,0x3f617726,0x3efc9fd8,3 +np.float32,0xbee3a8fc,0x40020561,3 +np.float32,0x3efe9f68,0x3f867043,3 +np.float32,0xbf2c3e76,0x4013c3ba,3 +np.float32,0xbf218f28,0x40103d84,3 +np.float32,0xbf1ea847,0x400f4f7f,3 +np.float32,0x3ded9160,0x3fba2e31,3 +np.float32,0x3bce1b00,0x3fc841bf,3 +np.float32,0xbe90566e,0x3feda46a,3 +np.float32,0xbf5ea2ba,0x4028056b,3 +np.float32,0x3f538e62,0x3f191ee6,3 +np.float32,0xbf59e054,0x4025af74,3 +np.float32,0xbe8c98ba,0x3fecab24,3 +np.float32,0x3ee7bdb0,0x3f8cf0b7,3 +np.float32,0xbf2eb828,0x40149b2b,3 +np.float32,0xbe5eb904,0x3fe52068,3 +np.float32,0xbf16b422,0x400cd08d,3 +np.float32,0x3f1ab9b4,0x3f6bfa58,3 +np.float32,0x3dc23040,0x3fbce82a,3 +np.float32,0xbf29d9e7,0x4012f5e5,3 +np.float32,0xbf38f30a,0x40183393,3 +np.float32,0x3e88e798,0x3fa66a09,3 +np.float32,0x3f1d07e6,0x3f69124f,3 +np.float32,0xbe1d3d34,0x3fdccb7e,3 +np.float32,0xbf1715be,0x400ceec2,3 +np.float32,0x3f7a0eac,0x3e5d11f7,3 +np.float32,0xbe764924,0x3fe82707,3 +np.float32,0xbf01a1f8,0x4006837c,3 +np.float32,0x3f2be730,0x3f55a661,3 +np.float32,0xbf7bb070,0x403d4ce5,3 +np.float32,0xbd602110,0x3fd011c9,3 +np.float32,0x3f5d080c,0x3f07609d,3 +np.float32,0xbda20400,0x3fd332d1,3 +np.float32,0x3f1c62da,0x3f69e308,3 +np.float32,0xbf2c6916,0x4013d223,3 +np.float32,0xbf44f8fd,0x401cb816,3 +np.float32,0x3f4da392,0x3f235539,3 +np.float32,0x3e9e8aa0,0x3fa0c3a0,3 +np.float32,0x3e9633c4,0x3fa2f366,3 +np.float32,0xbf0422ab,0x40073ddd,3 +np.float32,0x3f518386,0x3f1cb603,3 +np.float32,0x3f24307a,0x3f5fe096,3 +np.float32,0xbdfb4220,0x3fd8ce24,3 +np.float32,0x3f179d28,0x3f6fdc7d,3 +np.float32,0xbecc2df0,0x3ffd911e,3 +np.float32,0x3f3dff0c,0x3f3c0782,3 +np.float32,0xbf58c4d8,0x4025295b,3 +np.float32,0xbdcf8438,0x3fd60dd3,3 +np.float32,0xbeeaf1b2,0x40030aa7,3 +np.float32,0xbf298a28,0x4012db45,3 +np.float32,0x3f6c4dec,0x3eca2678,3 +np.float32,0x3f4d1ac8,0x3f243a59,3 +np.float32,0x3f62cdfa,0x3ef6e8f8,3 +np.float32,0xbee8acce,0x4002b909,3 +np.float32,0xbd5f2af0,0x3fd00a15,3 +np.float32,0x3f5fde8e,0x3f01a453,3 +np.float32,0x3e95233c,0x3fa33aa4,3 +np.float32,0x3ecd2a60,0x3f9449be,3 +np.float32,0x3f10aa86,0x3f78619d,3 +np.float32,0x3f3888e8,0x3f440a70,3 +np.float32,0x3eeb5bfc,0x3f8bec7d,3 +np.float32,0xbe12d654,0x3fdb7ae6,3 +np.float32,0x3eca3110,0x3f951931,3 +np.float32,0xbe2d1b7c,0x3fdece05,3 +np.float32,0xbf29e9db,0x4012fb3a,3 +np.float32,0xbf0c50b8,0x4009a845,3 +np.float32,0xbed9f0e4,0x4000abef,3 +np.float64,0x3fd078ec5ba0f1d8,0x3ff4f7c00595a4d3,1 +np.float64,0xbfdbc39743b7872e,0x400027f85bce43b2,1 +np.float64,0xbfacd2707c39a4e0,0x3ffa08ae1075d766,1 +np.float64,0xbfc956890f32ad14,0x3ffc52308e7285fd,1 +np.float64,0xbf939c2298273840,0x3ff9706d18e6ea6b,1 +np.float64,0xbfe0d7048961ae09,0x4000fff4406bd395,1 +np.float64,0xbfe9d19b86f3a337,0x4004139bc683a69f,1 +np.float64,0x3fd35c7f90a6b900,0x3ff437220e9123f8,1 +np.float64,0x3fdddca171bbb944,0x3ff15da61e61ec08,1 +np.float64,0x3feb300de9f6601c,0x3fe1c6fadb68cdca,1 +np.float64,0xbfef1815327e302a,0x400739808fc6f964,1 +np.float64,0xbfe332d78e6665af,0x4001b6c4ef922f7c,1 +np.float64,0xbfedbf4dfb7b7e9c,0x40061cefed62a58b,1 +np.float64,0xbfd8dcc7e3b1b990,0x3fff84307713c2c3,1 +np.float64,0xbfedaf161c7b5e2c,0x400612027c1b2b25,1 +np.float64,0xbfed9bde897b37bd,0x4006053f05bd7d26,1 +np.float64,0xbfe081ebc26103d8,0x4000e70755eb66e0,1 +np.float64,0xbfe0366f9c606cdf,0x4000d11212f29afd,1 +np.float64,0xbfc7c115212f822c,0x3ffc1e8c9d58f7db,1 +np.float64,0x3fd8dd9a78b1bb34,0x3ff2bf8d0f4c9376,1 +np.float64,0xbfe54eff466a9dfe,0x4002655950b611f4,1 +np.float64,0xbfe4aad987e955b3,0x40022efb19882518,1 +np.float64,0x3f70231ca0204600,0x3ff911d834e7abf4,1 +np.float64,0x3fede01d047bc03a,0x3fd773cecbd8561b,1 +np.float64,0xbfd6a00d48ad401a,0x3ffee9fd7051633f,1 +np.float64,0x3fd44f3d50a89e7c,0x3ff3f74dd0fc9c91,1 +np.float64,0x3fe540f0d0ea81e2,0x3feb055a7c7d43d6,1 +np.float64,0xbf3ba2e200374800,0x3ff923b582650c6c,1 +np.float64,0x3fe93b2d3f72765a,0x3fe532fa15331072,1 +np.float64,0x3fee8ce5a17d19cc,0x3fd35666eefbe336,1 +np.float64,0x3fe55d5f8feabac0,0x3feadf3dcfe251d4,1 +np.float64,0xbfd1d2ede8a3a5dc,0x3ffda600041ac884,1 +np.float64,0xbfee41186e7c8231,0x40067a625cc6f64d,1 +np.float64,0x3fe521a8b9ea4352,0x3feb2f1a6c8084e5,1 +np.float64,0x3fc65378ef2ca6f0,0x3ff653dfe81ee9f2,1 +np.float64,0x3fdaba0fbcb57420,0x3ff23d630995c6ba,1 +np.float64,0xbfe6b7441d6d6e88,0x4002e182539a2994,1 +np.float64,0x3fda00b6dcb4016c,0x3ff2703d516f28e7,1 +np.float64,0xbfe8699f01f0d33e,0x400382326920ea9e,1 +np.float64,0xbfef5889367eb112,0x4007832af5983793,1 +np.float64,0x3fefb57c8aff6afa,0x3fc14700ab38dcef,1 +np.float64,0xbfda0dfdaab41bfc,0x3fffd75b6fd497f6,1 +np.float64,0xbfb059c36620b388,0x3ffa27c528b97a42,1 +np.float64,0xbfdd450ab1ba8a16,0x40005dcac6ab50fd,1 +np.float64,0xbfe54d6156ea9ac2,0x400264ce9f3f0fb9,1 +np.float64,0xbfe076e94760edd2,0x4000e3d1374884da,1 +np.float64,0xbfc063286720c650,0x3ffb2fd1d6bff0ef,1 +np.float64,0xbfe24680f2e48d02,0x40016ddfbb5bcc0e,1 +np.float64,0xbfdc9351d2b926a4,0x400044e3756fb765,1 +np.float64,0x3fefb173d8ff62e8,0x3fc1bd5626f80850,1 +np.float64,0x3fe77c117a6ef822,0x3fe7e57089bad2ec,1 +np.float64,0xbfddbcebf7bb79d8,0x40006eadb60406b3,1 +np.float64,0xbfecf6625ff9ecc5,0x40059e6c6961a6db,1 +np.float64,0x3fdc8950b8b912a0,0x3ff1bcfb2e27795b,1 +np.float64,0xbfeb2fa517765f4a,0x4004b00aee3e6888,1 +np.float64,0x3fd0efc88da1df90,0x3ff4d8f7cbd8248a,1 +np.float64,0xbfe6641a2becc834,0x4002c43362c1bd0f,1 +np.float64,0xbfe28aec0fe515d8,0x400182c91d4df039,1 +np.float64,0xbfd5ede8d0abdbd2,0x3ffeba7baef05ae8,1 +np.float64,0xbfbd99702a3b32e0,0x3ffafca21c1053f1,1 +np.float64,0x3f96f043f82de080,0x3ff8c6384d5eb610,1 +np.float64,0xbfe5badbc9eb75b8,0x400289c8cd5873d1,1 +np.float64,0x3fe5c6bf95eb8d80,0x3fea5093e9a3e43e,1 +np.float64,0x3fb1955486232ab0,0x3ff8086d4c3e71d5,1 +np.float64,0xbfea145f397428be,0x4004302237a35871,1 +np.float64,0xbfdabe685db57cd0,0x400003e2e29725fb,1 +np.float64,0xbfefc79758ff8f2f,0x400831814e23bfc8,1 +np.float64,0x3fd7edb66cafdb6c,0x3ff3006c5123bfaf,1 +np.float64,0xbfeaf7644bf5eec8,0x400495a7963ce4ed,1 +np.float64,0x3fdf838d78bf071c,0x3ff0e527eed73800,1 +np.float64,0xbfd1a0165ba3402c,0x3ffd98c5ab76d375,1 +np.float64,0x3fd75b67a9aeb6d0,0x3ff327c8d80b17cf,1 +np.float64,0x3fc2aa9647255530,0x3ff6ca854b157df1,1 +np.float64,0xbfe0957fd4612b00,0x4000ecbf3932becd,1 +np.float64,0x3fda1792c0b42f24,0x3ff269fbb2360487,1 +np.float64,0x3fd480706ca900e0,0x3ff3ea53a6aa3ae8,1 +np.float64,0xbfd0780ed9a0f01e,0x3ffd4bfd544c7d47,1 +np.float64,0x3feeec0cd77dd81a,0x3fd0a8a241fdb441,1 +np.float64,0x3fcfa933e93f5268,0x3ff5223478621a6b,1 +np.float64,0x3fdad2481fb5a490,0x3ff236b86c6b2b49,1 +np.float64,0x3fe03b129de07626,0x3ff09f21fb868451,1 +np.float64,0xbfc01212cd202424,0x3ffb259a07159ae9,1 +np.float64,0x3febdb912df7b722,0x3fe0768e20dac8c9,1 +np.float64,0xbfbf2148763e4290,0x3ffb154c361ce5bf,1 +np.float64,0xbfb1a7eb1e234fd8,0x3ffa3cb37ac4a176,1 +np.float64,0xbfe26ad1ec64d5a4,0x400178f480ecce8d,1 +np.float64,0x3fe6d1cd1b6da39a,0x3fe8dc20ec4dad3b,1 +np.float64,0xbfede0e53dfbc1ca,0x4006340d3bdd7c97,1 +np.float64,0xbfe8fd1bd9f1fa38,0x4003bc3477f93f40,1 +np.float64,0xbfe329d0f26653a2,0x4001b3f345af5648,1 +np.float64,0xbfe4bb20eee97642,0x40023451404d6d08,1 +np.float64,0x3fb574832e2ae900,0x3ff7ca4bed0c7110,1 +np.float64,0xbfdf3c098fbe7814,0x4000a525bb72d659,1 +np.float64,0x3fa453e6d428a7c0,0x3ff87f512bb9b0c6,1 +np.float64,0x3faaec888435d920,0x3ff84a7d9e4def63,1 +np.float64,0xbfcdc240df3b8480,0x3ffce30ece754e7f,1 +np.float64,0xbf8c3220f0386440,0x3ff95a600ae6e157,1 +np.float64,0x3fe806076c700c0e,0x3fe71784a96c76eb,1 +np.float64,0x3fedf9b0e17bf362,0x3fd6e35fc0a7b6c3,1 +np.float64,0xbfe1b48422636908,0x400141bd8ed251bc,1 +np.float64,0xbfe82e2817705c50,0x40036b5a5556d021,1 +np.float64,0xbfc8ef8ff931df20,0x3ffc450ffae7ce58,1 +np.float64,0xbfe919fa94f233f5,0x4003c7cce4697fe8,1 +np.float64,0xbfc3ace4a72759c8,0x3ffb9a197bb22651,1 +np.float64,0x3fe479f71ee8f3ee,0x3fec0bd2f59097aa,1 +np.float64,0xbfeeb54a967d6a95,0x4006da12c83649c5,1 +np.float64,0x3fe5e74ea8ebce9e,0x3fea2407cef0f08c,1 +np.float64,0x3fb382baf2270570,0x3ff7e98213b921ba,1 +np.float64,0xbfdd86fd3cbb0dfa,0x40006712952ddbcf,1 +np.float64,0xbfd250eb52a4a1d6,0x3ffdc6d56253b1cd,1 +np.float64,0x3fea30c4ed74618a,0x3fe3962deba4f30e,1 +np.float64,0x3fc895963d312b30,0x3ff60a5d52fcbccc,1 +np.float64,0x3fe9cc4f6273989e,0x3fe442740942c80f,1 +np.float64,0xbfe8769f5cf0ed3f,0x4003873b4cb5bfce,1 +np.float64,0xbfe382f3726705e7,0x4001cfeb3204d110,1 +np.float64,0x3fbfe9a9163fd350,0x3ff7220bd2b97c8f,1 +np.float64,0xbfca6162bb34c2c4,0x3ffc743f939358f1,1 +np.float64,0x3fe127a014e24f40,0x3ff0147c4bafbc39,1 +np.float64,0x3fee9cdd2a7d39ba,0x3fd2e9ef45ab122f,1 +np.float64,0x3fa9ffb97c33ff80,0x3ff851e69fa3542c,1 +np.float64,0x3fd378f393a6f1e8,0x3ff42faafa77de56,1 +np.float64,0xbfe4df1e1669be3c,0x400240284df1c321,1 +np.float64,0x3fed0ed79bfa1db0,0x3fdba89060aa96fb,1 +np.float64,0x3fdef2ee52bde5dc,0x3ff10e942244f4f1,1 +np.float64,0xbfdab38f3ab5671e,0x40000264d8d5b49b,1 +np.float64,0x3fbe95a96e3d2b50,0x3ff73774cb59ce2d,1 +np.float64,0xbfe945653af28aca,0x4003d9657bf129c2,1 +np.float64,0xbfb18f3f2a231e80,0x3ffa3b27cba23f50,1 +np.float64,0xbfef50bf22fea17e,0x40077998a850082c,1 +np.float64,0xbfc52b8c212a5718,0x3ffbca8d6560a2da,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x3fc1e3a02d23c740,0x3ff6e3a5fcac12a4,1 +np.float64,0xbfeb5e4ea5f6bc9d,0x4004c65abef9426f,1 +np.float64,0xbfe425b132684b62,0x400203c29608b00d,1 +np.float64,0xbfbfa1c19e3f4380,0x3ffb1d6367711158,1 +np.float64,0x3fbba2776e3744f0,0x3ff766f6df586fad,1 +np.float64,0xbfb5d0951e2ba128,0x3ffa7f712480b25e,1 +np.float64,0xbfe949fdab7293fb,0x4003db4530a18507,1 +np.float64,0xbfcf13519b3e26a4,0x3ffd0e6f0a6c38ee,1 +np.float64,0x3f91e6d72823cdc0,0x3ff8da5f08909b6e,1 +np.float64,0x3f78a2e360314600,0x3ff909586727caef,1 +np.float64,0xbfe1ae7e8fe35cfd,0x40013fef082caaa3,1 +np.float64,0x3fe97a6dd1f2f4dc,0x3fe4cb4b99863478,1 +np.float64,0xbfcc1e1e69383c3c,0x3ffcad250a949843,1 +np.float64,0x3faccb797c399700,0x3ff83b8066b49330,1 +np.float64,0x3fe7a2647a6f44c8,0x3fe7acceae6ec425,1 +np.float64,0xbfec3bfcf0f877fa,0x4005366af5a7175b,1 +np.float64,0xbfe2310b94646217,0x400167588fceb228,1 +np.float64,0x3feb167372762ce6,0x3fe1f74c0288fad8,1 +np.float64,0xbfb722b4ee2e4568,0x3ffa94a81b94dfca,1 +np.float64,0x3fc58da9712b1b50,0x3ff66cf8f072aa14,1 +np.float64,0xbfe7fff9d6effff4,0x400359d01b8141de,1 +np.float64,0xbfd56691c5aacd24,0x3ffe9686697797e8,1 +np.float64,0x3fe3ab0557e7560a,0x3fed1593959ef8e8,1 +np.float64,0x3fdd458995ba8b14,0x3ff1883d6f22a322,1 +np.float64,0x3fe7bbed2cef77da,0x3fe786d618094cda,1 +np.float64,0x3fa31a30c4263460,0x3ff88920b936fd79,1 +np.float64,0x8010000000000000,0x3ff921fb54442d18,1 +np.float64,0xbfdc5effbdb8be00,0x40003d95fe0dff11,1 +np.float64,0x3febfdad7e77fb5a,0x3fe030b5297dbbdd,1 +np.float64,0x3fe4f3f3b2e9e7e8,0x3feb6bc59eeb2be2,1 +np.float64,0xbfe44469fd6888d4,0x40020daa5488f97a,1 +np.float64,0xbfe19fddb0e33fbc,0x40013b8c902b167b,1 +np.float64,0x3fa36ad17c26d5a0,0x3ff8869b3e828134,1 +np.float64,0x3fcf23e6c93e47d0,0x3ff5336491a65d1e,1 +np.float64,0xffefffffffffffff,0x7ff8000000000000,1 +np.float64,0xbfe375f4cee6ebea,0x4001cbd2ba42e8b5,1 +np.float64,0xbfaef1215c3de240,0x3ffa19ab02081189,1 +np.float64,0xbfec39c59c78738b,0x4005353dc38e3d78,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xbfec09bb7b781377,0x40051c0a5754cb3a,1 +np.float64,0x3fe8301f2870603e,0x3fe6d783c5ef0944,1 +np.float64,0xbfed418c987a8319,0x4005cbae1b8693d1,1 +np.float64,0xbfdc16e7adb82dd0,0x4000338b634eaf03,1 +np.float64,0x3fd5d361bdaba6c4,0x3ff390899300a54c,1 +np.float64,0xbff0000000000000,0x400921fb54442d18,1 +np.float64,0x3fd5946232ab28c4,0x3ff3a14767813f29,1 +np.float64,0x3fe833e5fef067cc,0x3fe6d1be720edf2d,1 +np.float64,0x3fedf746a67bee8e,0x3fd6f127fdcadb7b,1 +np.float64,0x3fd90353d3b206a8,0x3ff2b54f7d369ba9,1 +np.float64,0x3fec4b4b72f89696,0x3fdf1b38d2e93532,1 +np.float64,0xbfe9c67596f38ceb,0x40040ee5f524ce03,1 +np.float64,0x3fd350d91aa6a1b4,0x3ff43a303c0da27f,1 +np.float64,0x3fd062603ba0c4c0,0x3ff4fd9514b935d8,1 +np.float64,0xbfe24c075f64980e,0x40016f8e9f2663b3,1 +np.float64,0x3fdaa546eeb54a8c,0x3ff2431a88fef1d5,1 +np.float64,0x3fe92b8151f25702,0x3fe54c67e005cbf9,1 +np.float64,0xbfe1be8b8a637d17,0x400144c078f67c6e,1 +np.float64,0xbfe468a1d7e8d144,0x40021964b118cbf4,1 +np.float64,0xbfdc6de4fab8dbca,0x40003fa9e27893d8,1 +np.float64,0xbfe3c2788ae784f1,0x4001e407ba3aa956,1 +np.float64,0xbfe2bf1542e57e2a,0x400192d4a9072016,1 +np.float64,0xbfe6982f4c6d305e,0x4002d681b1991bbb,1 +np.float64,0x3fdbceb1c4b79d64,0x3ff1f0f117b9d354,1 +np.float64,0x3fdb3705e7b66e0c,0x3ff21af01ca27ace,1 +np.float64,0x3fe3e6358ee7cc6c,0x3fecca4585053983,1 +np.float64,0xbfe16d6a9a62dad5,0x40012c7988aee247,1 +np.float64,0xbfce66e4413ccdc8,0x3ffcf83b08043a0c,1 +np.float64,0xbfeb6cd46876d9a9,0x4004cd61733bfb79,1 +np.float64,0xbfdb1cdd64b639ba,0x400010e6cf087cb7,1 +np.float64,0xbfe09e4e30e13c9c,0x4000ef5277c47721,1 +np.float64,0xbfee88dd127d11ba,0x4006b3cd443643ac,1 +np.float64,0xbf911e06c8223c00,0x3ff966744064fb05,1 +np.float64,0xbfe8f22bc471e458,0x4003b7d5513af295,1 +np.float64,0x3fe3d7329567ae66,0x3fecdd6c241f83ee,1 +np.float64,0x3fc8a9404b315280,0x3ff607dc175edf3f,1 +np.float64,0x3fe7eb80ad6fd702,0x3fe73f8fdb3e6a6c,1 +np.float64,0x3fef0931e37e1264,0x3fcf7fde80a3c5ab,1 +np.float64,0x3fe2ed3c3fe5da78,0x3fee038334cd1860,1 +np.float64,0x3fe251fdb8e4a3fc,0x3feec26dc636ac31,1 +np.float64,0x3feb239436764728,0x3fe1de9462455da7,1 +np.float64,0xbfe63fd7eeec7fb0,0x4002b78cfa3d2fa6,1 +np.float64,0x3fdd639cb5bac738,0x3ff17fc7d92b3eee,1 +np.float64,0x3fd0a7a13fa14f44,0x3ff4eba95c559c84,1 +np.float64,0x3fe804362d70086c,0x3fe71a44cd91ffa4,1 +np.float64,0xbfe0fecf6e61fd9f,0x40010bac8edbdc4f,1 +np.float64,0x3fcb74acfd36e958,0x3ff5ac84437f1b7c,1 +np.float64,0x3fe55053e1eaa0a8,0x3feaf0bf76304c30,1 +np.float64,0x3fc06b508d20d6a0,0x3ff7131da17f3902,1 +np.float64,0x3fdd78750fbaf0ec,0x3ff179e97fbf7f65,1 +np.float64,0x3fe44cb946689972,0x3fec46859b5da6be,1 +np.float64,0xbfeb165a7ff62cb5,0x4004a41c9cc9589e,1 +np.float64,0x3fe01ffb2b603ff6,0x3ff0aed52bf1c3c1,1 +np.float64,0x3f983c60a83078c0,0x3ff8c107805715ab,1 +np.float64,0x3fd8b5ff13b16c00,0x3ff2ca4a837a476a,1 +np.float64,0x3fc80510a1300a20,0x3ff61cc3b4af470b,1 +np.float64,0xbfd3935b06a726b6,0x3ffe1b3a2066f473,1 +np.float64,0xbfdd4a1f31ba943e,0x40005e81979ed445,1 +np.float64,0xbfa76afdd42ed600,0x3ff9dd63ffba72d2,1 +np.float64,0x3fe7e06d496fc0da,0x3fe7503773566707,1 +np.float64,0xbfea5fbfe874bf80,0x40045106af6c538f,1 +np.float64,0x3fee000c487c0018,0x3fd6bef1f8779d88,1 +np.float64,0xbfb39f4ee2273ea0,0x3ffa5c3f2b3888ab,1 +np.float64,0x3feb9247b0772490,0x3fe1092d2905efce,1 +np.float64,0x3fdaa39b4cb54738,0x3ff243901da0da17,1 +np.float64,0x3fcd5b2b493ab658,0x3ff56e262e65b67d,1 +np.float64,0x3fcf82512f3f04a0,0x3ff52738847c55f2,1 +np.float64,0x3fe2af5e0c655ebc,0x3fee4ffab0c82348,1 +np.float64,0xbfec0055d0f800ac,0x4005172d325933e8,1 +np.float64,0x3fe71da9336e3b52,0x3fe86f2e12f6e303,1 +np.float64,0x3fbefab0723df560,0x3ff731188ac716ec,1 +np.float64,0xbfe11dca28623b94,0x400114d3d4ad370d,1 +np.float64,0x3fbcbda8ca397b50,0x3ff755281078abd4,1 +np.float64,0x3fe687c7126d0f8e,0x3fe945099a7855cc,1 +np.float64,0xbfecde510579bca2,0x400590606e244591,1 +np.float64,0xbfd72de681ae5bce,0x3fff0ff797ad1755,1 +np.float64,0xbfe7c0f7386f81ee,0x40034226e0805309,1 +np.float64,0x3fd8d55619b1aaac,0x3ff2c1cb3267b14e,1 +np.float64,0x3fecd7a2ad79af46,0x3fdcabbffeaa279e,1 +np.float64,0x3fee7fb1a8fcff64,0x3fd3ae620286fe19,1 +np.float64,0xbfc5f3a3592be748,0x3ffbe3ed204d9842,1 +np.float64,0x3fec9e5527793caa,0x3fddb00bc8687e4b,1 +np.float64,0x3fc35dc70f26bb90,0x3ff6b3ded7191e33,1 +np.float64,0x3fda91c07ab52380,0x3ff24878848fec8f,1 +np.float64,0xbfe12cde1fe259bc,0x4001194ab99d5134,1 +np.float64,0xbfd35ab736a6b56e,0x3ffe0c5ce8356d16,1 +np.float64,0x3fc9c94123339280,0x3ff5e3239f3ad795,1 +np.float64,0xbfe72f54926e5ea9,0x40030c95d1d02b56,1 +np.float64,0xbfee283186fc5063,0x40066786bd0feb79,1 +np.float64,0xbfe7b383f56f6708,0x40033d23ef0e903d,1 +np.float64,0x3fd6037327ac06e8,0x3ff383bf2f311ddb,1 +np.float64,0x3fe0e344b561c68a,0x3ff03cd90fd4ba65,1 +np.float64,0xbfef0ff54b7e1feb,0x400730fa5fce381e,1 +np.float64,0x3fd269929da4d324,0x3ff476b230136d32,1 +np.float64,0xbfbc5fb9f638bf70,0x3ffae8e63a4e3234,1 +np.float64,0xbfe2e8bc84e5d179,0x40019fb5874f4310,1 +np.float64,0xbfd7017413ae02e8,0x3fff040d843c1531,1 +np.float64,0x3fefd362fa7fa6c6,0x3fbababc3ddbb21d,1 +np.float64,0x3fecb62ed3f96c5e,0x3fdd44ba77ccff94,1 +np.float64,0xbfb16fad5222df58,0x3ffa392d7f02b522,1 +np.float64,0x3fbcf4abc639e950,0x3ff751b23c40e27f,1 +np.float64,0x3fe128adbce2515c,0x3ff013dc91db04b5,1 +np.float64,0x3fa5dd9d842bbb40,0x3ff87300c88d512f,1 +np.float64,0xbfe61efcaf6c3dfa,0x4002ac27117f87c9,1 +np.float64,0x3feffe1233fffc24,0x3f9638d3796a4954,1 +np.float64,0xbfe78548b66f0a92,0x40032c0447b7bfe2,1 +np.float64,0x3fe7bd38416f7a70,0x3fe784e86d6546b6,1 +np.float64,0x3fe0d6bc5961ad78,0x3ff0443899e747ac,1 +np.float64,0xbfd0bb6e47a176dc,0x3ffd5d6dff390d41,1 +np.float64,0xbfec1d16b8f83a2e,0x40052620378d3b78,1 +np.float64,0x3fe9bbec20f377d8,0x3fe45e167c7a3871,1 +np.float64,0xbfeed81d9dfdb03b,0x4006f9dec2db7310,1 +np.float64,0xbfe1e35179e3c6a3,0x40014fd1b1186ac0,1 +np.float64,0xbfc9c7e605338fcc,0x3ffc60a6bd1a7126,1 +np.float64,0x3feec92810fd9250,0x3fd1afde414ab338,1 +np.float64,0xbfeb9f1d90773e3b,0x4004e606b773f5b0,1 +np.float64,0x3fcbabdf6b3757c0,0x3ff5a573866404af,1 +np.float64,0x3fe9f4e1fff3e9c4,0x3fe3fd7b6712dd7b,1 +np.float64,0xbfe6c0175ded802e,0x4002e4a4dc12f3fe,1 +np.float64,0xbfeefc96f37df92e,0x40071d367cd721ff,1 +np.float64,0xbfeaab58dc7556b2,0x400472ce37e31e50,1 +np.float64,0xbfc62668772c4cd0,0x3ffbea5e6c92010a,1 +np.float64,0x3fafe055fc3fc0a0,0x3ff822ce6502519a,1 +np.float64,0x3fd7b648ffaf6c90,0x3ff30f5a42f11418,1 +np.float64,0xbfe934fe827269fd,0x4003d2b9fed9e6ad,1 +np.float64,0xbfe6d691f2edad24,0x4002eca6a4b1797b,1 +np.float64,0x3fc7e62ced2fcc58,0x3ff620b1f44398b7,1 +np.float64,0xbfc89be9f33137d4,0x3ffc3a67a497f59c,1 +np.float64,0xbfe7793d536ef27a,0x40032794bf14dd64,1 +np.float64,0x3fde55a02dbcab40,0x3ff13b5f82d223e4,1 +np.float64,0xbfc8eabd7b31d57c,0x3ffc4472a81cb6d0,1 +np.float64,0x3fddcb5468bb96a8,0x3ff162899c381f2e,1 +np.float64,0xbfec7554d8f8eaaa,0x40055550e18ec463,1 +np.float64,0x3fd0b6e8b6a16dd0,0x3ff4e7b4781a50e3,1 +np.float64,0x3fedaae01b7b55c0,0x3fd8964916cdf53d,1 +np.float64,0x3fe0870f8a610e20,0x3ff072e7db95c2a2,1 +np.float64,0xbfec3e3ce2787c7a,0x4005379d0f6be873,1 +np.float64,0xbfe65502586caa04,0x4002beecff89147f,1 +np.float64,0xbfe0df39a961be74,0x4001025e36d1c061,1 +np.float64,0xbfb5d8edbe2bb1d8,0x3ffa7ff72b7d6a2b,1 +np.float64,0xbfde89574bbd12ae,0x40008ba4cd74544d,1 +np.float64,0xbfe72938f0ee5272,0x40030a5efd1acb6d,1 +np.float64,0xbfcd500d133aa01c,0x3ffcd462f9104689,1 +np.float64,0x3fe0350766606a0e,0x3ff0a2a3664e2c14,1 +np.float64,0xbfc892fb573125f8,0x3ffc3944641cc69d,1 +np.float64,0xbfba7dc7c634fb90,0x3ffaca9a6a0ffe61,1 +np.float64,0xbfeac94478759289,0x40048068a8b83e45,1 +np.float64,0xbfe8f60c1af1ec18,0x4003b961995b6e51,1 +np.float64,0x3fea1c0817743810,0x3fe3ba28c1643cf7,1 +np.float64,0xbfe42a0fefe85420,0x4002052aadd77f01,1 +np.float64,0x3fd2c61c56a58c38,0x3ff45e84cb9a7fa9,1 +np.float64,0xbfd83fb7cdb07f70,0x3fff59ab4790074c,1 +np.float64,0x3fd95e630fb2bcc8,0x3ff29c8bee1335ad,1 +np.float64,0x3feee88f387dd11e,0x3fd0c3ad3ded4094,1 +np.float64,0x3fe061291160c252,0x3ff0890010199bbc,1 +np.float64,0xbfdc7db3b5b8fb68,0x400041dea3759443,1 +np.float64,0x3fee23b320fc4766,0x3fd5ee73d7aa5c56,1 +np.float64,0xbfdc25c590b84b8c,0x4000359cf98a00b4,1 +np.float64,0xbfd63cbfd2ac7980,0x3ffecf7b9cf99b3c,1 +np.float64,0xbfbeb3c29a3d6788,0x3ffb0e66ecc0fc3b,1 +np.float64,0xbfd2f57fd6a5eb00,0x3ffdf1d7c79e1532,1 +np.float64,0xbfab3eda9c367db0,0x3ff9fc0c875f42e9,1 +np.float64,0xbfe12df1c6e25be4,0x4001199c673e698c,1 +np.float64,0x3fef8ab23a7f1564,0x3fc5aff358c59f1c,1 +np.float64,0x3fe562f50feac5ea,0x3fead7bce205f7d9,1 +np.float64,0x3fdc41adbeb8835c,0x3ff1d0f71341b8f2,1 +np.float64,0x3fe2748967e4e912,0x3fee9837f970ff9e,1 +np.float64,0xbfdaa89d57b5513a,0x400000e3889ba4cf,1 +np.float64,0x3fdf2a137dbe5428,0x3ff0fecfbecbbf86,1 +np.float64,0xbfea1fdcd2f43fba,0x4004351974b32163,1 +np.float64,0xbfe34a93a3e69528,0x4001be323946a3e0,1 +np.float64,0x3fe929bacff25376,0x3fe54f47bd7f4cf2,1 +np.float64,0xbfd667fbd6accff8,0x3ffedb04032b3a1a,1 +np.float64,0xbfeb695796f6d2af,0x4004cbb08ec6f525,1 +np.float64,0x3fd204df2ea409c0,0x3ff490f51e6670f5,1 +np.float64,0xbfd89a2757b1344e,0x3fff722127b988c4,1 +np.float64,0xbfd0787187a0f0e4,0x3ffd4c16dbe94f32,1 +np.float64,0x3fd44239bfa88474,0x3ff3fabbfb24b1fa,1 +np.float64,0xbfeb0b3489f61669,0x40049ee33d811d33,1 +np.float64,0x3fdcf04eaab9e09c,0x3ff1a02a29996c4e,1 +np.float64,0x3fd4c51e4fa98a3c,0x3ff3d8302c68fc9a,1 +np.float64,0x3fd1346645a268cc,0x3ff4c72b4970ecaf,1 +np.float64,0x3fd6a89d09ad513c,0x3ff357af6520afac,1 +np.float64,0xbfba0f469a341e90,0x3ffac3a8f41bed23,1 +np.float64,0xbfe13f8ddce27f1c,0x40011ed557719fd6,1 +np.float64,0x3fd43e5e26a87cbc,0x3ff3fbc040fc30dc,1 +np.float64,0x3fe838125a707024,0x3fe6cb5c987248f3,1 +np.float64,0x3fe128c30c625186,0x3ff013cff238dd1b,1 +np.float64,0xbfcd4718833a8e30,0x3ffcd33c96bde6f9,1 +np.float64,0x3fe43fcd08e87f9a,0x3fec573997456ec1,1 +np.float64,0xbfe9a29104734522,0x4003ffd502a1b57f,1 +np.float64,0xbfe4709d7968e13b,0x40021bfc5cd55af4,1 +np.float64,0x3fd21c3925a43874,0x3ff48adf48556cbb,1 +np.float64,0x3fe9a521b2734a44,0x3fe4844fc054e839,1 +np.float64,0xbfdfa6a912bf4d52,0x4000b4730ad8521e,1 +np.float64,0x3fe3740702e6e80e,0x3fed5b106283b6ed,1 +np.float64,0x3fd0a3aa36a14754,0x3ff4ecb02a5e3f49,1 +np.float64,0x3fdcb903d0b97208,0x3ff1afa5d692c5b9,1 +np.float64,0xbfe7d67839efacf0,0x40034a3146abf6f2,1 +np.float64,0x3f9981c6d8330380,0x3ff8bbf1853d7b90,1 +np.float64,0xbfe9d4191673a832,0x400414a9ab453c5d,1 +np.float64,0x3fef0a1e5c7e143c,0x3fcf70b02a54c415,1 +np.float64,0xbfd996dee6b32dbe,0x3fffb6cf707ad8e4,1 +np.float64,0x3fe19bef17e337de,0x3fef9e70d4fcedae,1 +np.float64,0x3fe34a59716694b2,0x3fed8f6d5cfba474,1 +np.float64,0x3fdf27e27cbe4fc4,0x3ff0ff70500e0c7c,1 +np.float64,0xbfe19df87fe33bf1,0x40013afb401de24c,1 +np.float64,0xbfbdfd97ba3bfb30,0x3ffb02ef8c225e57,1 +np.float64,0xbfe3d3417267a683,0x4001e95ed240b0f8,1 +np.float64,0x3fe566498b6acc94,0x3fead342957d4910,1 +np.float64,0x3ff0000000000000,0x0,1 +np.float64,0x3feb329bd8766538,0x3fe1c2225aafe3b4,1 +np.float64,0xbfc19ca703233950,0x3ffb575b5df057b9,1 +np.float64,0x3fe755027d6eaa04,0x3fe81eb99c262e00,1 +np.float64,0xbfe6c2b8306d8570,0x4002e594199f9eec,1 +np.float64,0x3fd69438e6ad2870,0x3ff35d2275ae891d,1 +np.float64,0x3fda3e7285b47ce4,0x3ff25f5573dd47ae,1 +np.float64,0x3fe7928a166f2514,0x3fe7c4490ef4b9a9,1 +np.float64,0xbfd4eb71b9a9d6e4,0x3ffe75e8ccb74be1,1 +np.float64,0xbfcc3a07f1387410,0x3ffcb0b8af914a5b,1 +np.float64,0xbfe6e80225edd004,0x4002f2e26eae8999,1 +np.float64,0xbfb347728a268ee8,0x3ffa56bd526a12db,1 +np.float64,0x3fe5140ead6a281e,0x3feb4132c9140a1c,1 +np.float64,0xbfc147f125228fe4,0x3ffb4cab18b9050f,1 +np.float64,0xbfcb9145b537228c,0x3ffc9b1b6227a8c9,1 +np.float64,0xbfda84ef4bb509de,0x3ffff7f8a674e17d,1 +np.float64,0x3fd2eb6bbfa5d6d8,0x3ff454c225529d7e,1 +np.float64,0x3fe18c95f1e3192c,0x3fefb0cf0efba75a,1 +np.float64,0x3fe78606efef0c0e,0x3fe7d6c3a092d64c,1 +np.float64,0x3fbad5119a35aa20,0x3ff773dffe3ce660,1 +np.float64,0x3fd0cf5903a19eb4,0x3ff4e15fd21fdb42,1 +np.float64,0xbfd85ce90bb0b9d2,0x3fff618ee848e974,1 +np.float64,0x3fe90e11b9f21c24,0x3fe57be62f606f4a,1 +np.float64,0x3fd7a2040faf4408,0x3ff314ce85457ec2,1 +np.float64,0xbfd73fba69ae7f74,0x3fff14bff3504811,1 +np.float64,0x3fa04b4bd42096a0,0x3ff89f9b52f521a2,1 +np.float64,0xbfd7219ce5ae433a,0x3fff0cac0b45cc18,1 +np.float64,0xbfe0cf4661e19e8d,0x4000fdadb14e3c22,1 +np.float64,0x3fd07469fea0e8d4,0x3ff4f8eaa9b2394a,1 +np.float64,0x3f9b05c5d8360b80,0x3ff8b5e10672db5c,1 +np.float64,0x3fe4c25b916984b8,0x3febad29bd0e25e2,1 +np.float64,0xbfde8b4891bd1692,0x40008beb88d5c409,1 +np.float64,0xbfe199a7efe33350,0x400139b089aee21c,1 +np.float64,0x3fecdad25cf9b5a4,0x3fdc9d062867e8c3,1 +np.float64,0xbfe979b277f2f365,0x4003eedb061e25a4,1 +np.float64,0x3fc8c7311f318e60,0x3ff6040b9aeaad9d,1 +np.float64,0x3fd2b605b8a56c0c,0x3ff462b9a955c224,1 +np.float64,0x3fc073b6ad20e770,0x3ff7120e9f2fd63c,1 +np.float64,0xbfec60ede678c1dc,0x40054a3863e24dc2,1 +np.float64,0x3fe225171be44a2e,0x3feef910dca420ea,1 +np.float64,0xbfd7529762aea52e,0x3fff19d00661f650,1 +np.float64,0xbfd781783daf02f0,0x3fff2667b90be461,1 +np.float64,0x3fe3f6ec6d67edd8,0x3fecb4e814a2e33a,1 +np.float64,0x3fece6702df9cce0,0x3fdc6719d92a50d2,1 +np.float64,0xbfb5c602ce2b8c08,0x3ffa7ec761ba856a,1 +np.float64,0xbfd61f0153ac3e02,0x3ffec78e3b1a6c4d,1 +np.float64,0xbfec3462b2f868c5,0x400532630bbd7050,1 +np.float64,0xbfdd248485ba490a,0x400059391c07c1bb,1 +np.float64,0xbfd424921fa84924,0x3ffe416a85d1dcdf,1 +np.float64,0x3fbb23a932364750,0x3ff76eef79209f7f,1 +np.float64,0x3fca248b0f344918,0x3ff5d77c5c1b4e5e,1 +np.float64,0xbfe69af4a4ed35ea,0x4002d77c2e4fbd4e,1 +np.float64,0x3fdafe3cdcb5fc78,0x3ff22a9be6efbbf2,1 +np.float64,0xbfebba3377f77467,0x4004f3836e1fe71a,1 +np.float64,0xbfe650fae06ca1f6,0x4002bd851406377c,1 +np.float64,0x3fda630007b4c600,0x3ff2554f1832bd94,1 +np.float64,0xbfda8107d9b50210,0x3ffff6e6209659f3,1 +np.float64,0x3fea759a02f4eb34,0x3fe31d1a632c9aae,1 +np.float64,0x3fbf88149e3f1030,0x3ff728313aa12ccb,1 +np.float64,0x3f7196d2a0232e00,0x3ff910647e1914c1,1 +np.float64,0x3feeae51d17d5ca4,0x3fd2709698d31f6f,1 +np.float64,0xbfd73cd663ae79ac,0x3fff13f96300b55a,1 +np.float64,0x3fd4fc5f06a9f8c0,0x3ff3c99359854b97,1 +np.float64,0x3fb29f5d6e253ec0,0x3ff7f7c20e396b20,1 +np.float64,0xbfd757c82aaeaf90,0x3fff1b34c6141e98,1 +np.float64,0x3fc56fd4cf2adfa8,0x3ff670c145122909,1 +np.float64,0x3fc609a2f52c1348,0x3ff65d3ef3cade2c,1 +np.float64,0xbfe1de631163bcc6,0x40014e5528fadb73,1 +np.float64,0xbfe7eb4a726fd695,0x40035202f49d95c4,1 +np.float64,0xbfc9223771324470,0x3ffc4b84d5e263b9,1 +np.float64,0x3fee91a8a87d2352,0x3fd3364befde8de6,1 +np.float64,0x3fbc9784fe392f10,0x3ff7578e29f6a1b2,1 +np.float64,0xbfec627c2c78c4f8,0x40054b0ff2cb9c55,1 +np.float64,0xbfb8b406a6316810,0x3ffaadd97062fb8c,1 +np.float64,0xbfecf98384f9f307,0x4005a043d9110d79,1 +np.float64,0xbfe5834bab6b0698,0x400276f114aebee4,1 +np.float64,0xbfd90f391eb21e72,0x3fff91e26a8f48f3,1 +np.float64,0xbfee288ce2fc511a,0x400667cb09aa04b3,1 +np.float64,0x3fd5aa5e32ab54bc,0x3ff39b7080a52214,1 +np.float64,0xbfee7ef907fcfdf2,0x4006ab96a8eba4c5,1 +np.float64,0x3fd6097973ac12f4,0x3ff3822486978bd1,1 +np.float64,0xbfe02d14b8e05a2a,0x4000ce5be53047b1,1 +np.float64,0xbf9c629a6838c540,0x3ff993897728c3f9,1 +np.float64,0xbfee2024667c4049,0x40066188782fb1f0,1 +np.float64,0xbfa42a88fc285510,0x3ff9c35a4bbce104,1 +np.float64,0x3fa407af5c280f60,0x3ff881b360d8eea1,1 +np.float64,0x3fed0ba42cfa1748,0x3fdbb7d55609175f,1 +np.float64,0xbfdd0b5844ba16b0,0x400055b0bb59ebb2,1 +np.float64,0x3fd88d97e6b11b30,0x3ff2d53c1ecb8f8c,1 +np.float64,0xbfeb7a915ef6f523,0x4004d410812eb84c,1 +np.float64,0xbfb5f979ca2bf2f0,0x3ffa8201d73cd4ca,1 +np.float64,0x3fb3b65dd6276cc0,0x3ff7e64576199505,1 +np.float64,0x3fcd47a7793a8f50,0x3ff570a7b672f160,1 +np.float64,0xbfa41dd30c283ba0,0x3ff9c2f488127eb3,1 +np.float64,0x3fe4b1ea1f6963d4,0x3febc2bed7760427,1 +np.float64,0xbfdd0f81d2ba1f04,0x400056463724b768,1 +np.float64,0x3fd15d93f7a2bb28,0x3ff4bc7a24eacfd7,1 +np.float64,0xbfe3213af8e64276,0x4001b14579dfded3,1 +np.float64,0x3fd90dfbeab21bf8,0x3ff2b26a6c2c3bb3,1 +np.float64,0xbfd02d54bca05aaa,0x3ffd38ab3886b203,1 +np.float64,0x3fc218dcad2431b8,0x3ff6dced56d5b417,1 +np.float64,0x3fea5edf71f4bdbe,0x3fe3455ee09f27e6,1 +np.float64,0x3fa74319042e8640,0x3ff867d224545438,1 +np.float64,0x3fd970ad92b2e15c,0x3ff2979084815dc1,1 +np.float64,0x3fce0a4bf73c1498,0x3ff557a4df32df3e,1 +np.float64,0x3fef5c8e10feb91c,0x3fc99ca0eeaaebe4,1 +np.float64,0xbfedae997ffb5d33,0x400611af18f407ab,1 +np.float64,0xbfbcf07d6239e0f8,0x3ffaf201177a2d36,1 +np.float64,0xbfc3c52541278a4c,0x3ffb9d2af0408e4a,1 +np.float64,0x3fe4ef44e4e9de8a,0x3feb71f7331255e5,1 +np.float64,0xbfccd9f5f539b3ec,0x3ffcc53a99339592,1 +np.float64,0xbfda32c745b4658e,0x3fffe16e8727ef89,1 +np.float64,0xbfef54932a7ea926,0x40077e4605e61ca1,1 +np.float64,0x3fe9d4ae3573a95c,0x3fe4344a069a3fd0,1 +np.float64,0x3fda567e73b4acfc,0x3ff258bd77a663c7,1 +np.float64,0xbfd5bcac5eab7958,0x3ffead6379c19c52,1 +np.float64,0xbfee5e56f97cbcae,0x40069131fc54018d,1 +np.float64,0x3fc2d4413925a880,0x3ff6c54163816298,1 +np.float64,0xbfe9ddf6e873bbee,0x400418d8c722f7c5,1 +np.float64,0x3fdaf2a683b5e54c,0x3ff22dcda599d69c,1 +np.float64,0xbfca69789f34d2f0,0x3ffc7547ff10b1a6,1 +np.float64,0x3fed076f62fa0ede,0x3fdbcbda03c1d72a,1 +np.float64,0xbfcb38326f367064,0x3ffc8fb55dadeae5,1 +np.float64,0x3fe1938705e3270e,0x3fefa88130c5adda,1 +np.float64,0x3feaffae3b75ff5c,0x3fe221e3da537c7e,1 +np.float64,0x3fefc94acb7f9296,0x3fbd9a360ace67b4,1 +np.float64,0xbfe8bddeb0f17bbe,0x4003a316685c767e,1 +np.float64,0x3fbe10fbee3c21f0,0x3ff73fceb10650f5,1 +np.float64,0x3fde9126c1bd224c,0x3ff12a742f734d0a,1 +np.float64,0xbfe9686c91f2d0d9,0x4003e7bc6ee77906,1 +np.float64,0xbfb1ba4892237490,0x3ffa3dda064c2509,1 +np.float64,0xbfe2879100e50f22,0x400181c1a5b16f0f,1 +np.float64,0x3fd1cd40b6a39a80,0x3ff49f70e3064e95,1 +np.float64,0xbfc965869132cb0c,0x3ffc5419f3b43701,1 +np.float64,0x3fea7a6f2874f4de,0x3fe31480fb2dd862,1 +np.float64,0x3fc3bc56892778b0,0x3ff6a7e8fa0e8b0e,1 +np.float64,0x3fec1ed451f83da8,0x3fdfd78e564b8ad7,1 +np.float64,0x3feb77d16df6efa2,0x3fe13d083344e45e,1 +np.float64,0xbfe822e7c67045d0,0x400367104a830cf6,1 +np.float64,0x8000000000000001,0x3ff921fb54442d18,1 +np.float64,0xbfd4900918a92012,0x3ffe5dc0e19737b4,1 +np.float64,0x3fed184187fa3084,0x3fdb7b7a39f234f4,1 +np.float64,0x3fecef846179df08,0x3fdc3cb2228c3682,1 +np.float64,0xbfe2d2aed165a55e,0x400198e21c5b861b,1 +np.float64,0x7ff0000000000000,0x7ff8000000000000,1 +np.float64,0xbfee9409a07d2813,0x4006bd358232d073,1 +np.float64,0xbfecedc2baf9db86,0x4005995df566fc21,1 +np.float64,0x3fe6d857396db0ae,0x3fe8d2cb8794aa99,1 +np.float64,0xbf9a579e7834af40,0x3ff98b5cc8021e1c,1 +np.float64,0x3fc664fefb2cca00,0x3ff651a664ccf8fa,1 +np.float64,0xbfe8a7aa0e714f54,0x40039a5b4df938a0,1 +np.float64,0xbfdf27d380be4fa8,0x4000a241074dbae6,1 +np.float64,0x3fe00ddf55e01bbe,0x3ff0b94eb1ea1851,1 +np.float64,0x3feb47edbff68fdc,0x3fe199822d075959,1 +np.float64,0x3fb4993822293270,0x3ff7d80c838186d0,1 +np.float64,0xbfca2cd1473459a4,0x3ffc6d88c8de3d0d,1 +np.float64,0xbfea7d9c7674fb39,0x40045e4559e9e52d,1 +np.float64,0x3fe0dce425e1b9c8,0x3ff04099cab23289,1 +np.float64,0x3fd6bb7e97ad76fc,0x3ff352a30434499c,1 +np.float64,0x3fd4a4f16da949e4,0x3ff3e0b07432c9aa,1 +np.float64,0x8000000000000000,0x3ff921fb54442d18,1 +np.float64,0x3fe688f5b56d11ec,0x3fe9435f63264375,1 +np.float64,0xbfdf5a427ebeb484,0x4000a97a6c5d4abc,1 +np.float64,0xbfd1f3483fa3e690,0x3ffdae6c8a299383,1 +np.float64,0xbfeac920db759242,0x4004805862be51ec,1 +np.float64,0x3fef5bc711feb78e,0x3fc9ac40fba5b93b,1 +np.float64,0x3fe4bd9e12e97b3c,0x3febb363c787d381,1 +np.float64,0x3fef6a59ab7ed4b4,0x3fc880f1324eafce,1 +np.float64,0x3fc07a362120f470,0x3ff7113cf2c672b3,1 +np.float64,0xbfe4d6dbe2e9adb8,0x40023d6f6bea44b7,1 +np.float64,0xbfec2d6a15785ad4,0x40052eb425cc37a2,1 +np.float64,0x3fc90dae05321b60,0x3ff5fb10015d2934,1 +np.float64,0xbfa9239f74324740,0x3ff9eb2d057068ea,1 +np.float64,0xbfeb4fc8baf69f92,0x4004bf5e17fb08a4,1 +np.float64,0x0,0x3ff921fb54442d18,1 +np.float64,0x3faaf1884c35e320,0x3ff84a5591dbe1f3,1 +np.float64,0xbfed842561fb084b,0x4005f5c0a19116ce,1 +np.float64,0xbfc64850c32c90a0,0x3ffbeeac2ee70f9a,1 +np.float64,0x3fd7d879f5afb0f4,0x3ff306254c453436,1 +np.float64,0xbfdabaa586b5754c,0x4000035e6ac83a2b,1 +np.float64,0xbfebfeefa977fddf,0x4005167446fb9faf,1 +np.float64,0xbfe9383462727069,0x4003d407aa6a1577,1 +np.float64,0x3fe108dfb6e211c0,0x3ff026ac924b281d,1 +np.float64,0xbf85096df02a12c0,0x3ff94c0e60a22ede,1 +np.float64,0xbfe3121cd566243a,0x4001ac8f90db5882,1 +np.float64,0xbfd227f62aa44fec,0x3ffdbc26bb175dcc,1 +np.float64,0x3fd931af2cb26360,0x3ff2a8b62dfe003c,1 +np.float64,0xbfd9b794e3b36f2a,0x3fffbfbc89ec013d,1 +np.float64,0x3fc89b2e6f313660,0x3ff609a6e67f15f2,1 +np.float64,0x3fc0b14a8f216298,0x3ff70a4b6905aad2,1 +np.float64,0xbfeda11a657b4235,0x400608b3f9fff574,1 +np.float64,0xbfed2ee9ec7a5dd4,0x4005c040b7c02390,1 +np.float64,0xbfef7819d8fef034,0x4007ac6bf75cf09d,1 +np.float64,0xbfcc4720fb388e40,0x3ffcb2666a00b336,1 +np.float64,0xbfe05dec4be0bbd8,0x4000dc8a25ca3760,1 +np.float64,0x3fb093416e212680,0x3ff81897b6d8b374,1 +np.float64,0xbfc6ab89332d5714,0x3ffbfb4559d143e7,1 +np.float64,0x3fc51948512a3290,0x3ff67bb9df662c0a,1 +np.float64,0x3fed4d94177a9b28,0x3fda76c92f0c0132,1 +np.float64,0x3fdd195fbeba32c0,0x3ff194a5586dd18e,1 +np.float64,0x3fe3f82799e7f050,0x3fecb354c2faf55c,1 +np.float64,0x3fecac2169f95842,0x3fdd7222296cb7a7,1 +np.float64,0x3fe3d3f36fe7a7e6,0x3fece18f45e30dd7,1 +np.float64,0x3fe31ff63d663fec,0x3fedc46c77d30c6a,1 +np.float64,0xbfe3120c83e62419,0x4001ac8a7c4aa742,1 +np.float64,0x3fe7c1a7976f8350,0x3fe77e4a9307c9f8,1 +np.float64,0x3fe226fe9de44dfe,0x3feef6c0f3cb00fa,1 +np.float64,0x3fd5c933baab9268,0x3ff3933e8a37de42,1 +np.float64,0x3feaa98496f5530a,0x3fe2c003832ebf21,1 +np.float64,0xbfc6f80a2f2df014,0x3ffc04fd54cb1317,1 +np.float64,0x3fde5e18d0bcbc30,0x3ff138f7b32a2ca3,1 +np.float64,0xbfe30c8dd566191c,0x4001aad4af935a78,1 +np.float64,0x3fbe8d196e3d1a30,0x3ff737fec8149ecc,1 +np.float64,0x3feaee6731f5dcce,0x3fe241fa42cce22d,1 +np.float64,0x3fef9cc46cff3988,0x3fc3f17b708dbdbb,1 +np.float64,0xbfdb181bdeb63038,0x4000103ecf405602,1 +np.float64,0xbfc58de0ed2b1bc0,0x3ffbd704c14e15cd,1 +np.float64,0xbfee05d5507c0bab,0x40064e480faba6d8,1 +np.float64,0x3fe27d0ffa64fa20,0x3fee8dc71ef79f2c,1 +np.float64,0xbfe4f7ad4c69ef5a,0x400248456cd09a07,1 +np.float64,0xbfe4843e91e9087d,0x4002225f3e139c84,1 +np.float64,0x3fe7158b9c6e2b18,0x3fe87ae845c5ba96,1 +np.float64,0xbfea64316074c863,0x400452fd2bc23a44,1 +np.float64,0xbfc9f3ae4133e75c,0x3ffc663d482afa42,1 +np.float64,0xbfd5e18513abc30a,0x3ffeb72fc76d7071,1 +np.float64,0xbfd52f6438aa5ec8,0x3ffe87e5b18041e5,1 +np.float64,0xbfea970650f52e0d,0x400469a4a6758154,1 +np.float64,0xbfe44321b7e88644,0x40020d404a2141b1,1 +np.float64,0x3fdf5a39bbbeb474,0x3ff0f10453059dbd,1 +np.float64,0xbfa1d4069423a810,0x3ff9b0a2eacd2ce2,1 +np.float64,0xbfc36d16a326da2c,0x3ffb92077d41d26a,1 +np.float64,0x1,0x3ff921fb54442d18,1 +np.float64,0x3feb232a79764654,0x3fe1df5beeb249d0,1 +np.float64,0xbfed2003d5fa4008,0x4005b737c2727583,1 +np.float64,0x3fd5b093a3ab6128,0x3ff399ca2db1d96d,1 +np.float64,0x3fca692c3d34d258,0x3ff5ceb86b79223e,1 +np.float64,0x3fd6bbdf89ad77c0,0x3ff3528916df652d,1 +np.float64,0xbfefdadd46ffb5bb,0x40085ee735e19f19,1 +np.float64,0x3feb69fb2676d3f6,0x3fe157ee0c15691e,1 +np.float64,0x3fe44c931f689926,0x3fec46b6f5e3f265,1 +np.float64,0xbfc43ddbcb287bb8,0x3ffbac71d268d74d,1 +np.float64,0x3fe6e16d43edc2da,0x3fe8c5cf0f0daa66,1 +np.float64,0x3fe489efc76913e0,0x3febf704ca1ac2a6,1 +np.float64,0xbfe590aadceb2156,0x40027b764205cf78,1 +np.float64,0xbf782e8aa0305d00,0x3ff93a29e81928ab,1 +np.float64,0x3fedcb80cffb9702,0x3fd7e5d1f98a418b,1 +np.float64,0x3fe075858060eb0c,0x3ff07d23ab46b60f,1 +np.float64,0x3fe62a68296c54d0,0x3fe9c77f7068043b,1 +np.float64,0x3feff16a3c7fe2d4,0x3fae8e8a739cc67a,1 +np.float64,0xbfd6ed93e3addb28,0x3ffefebab206fa99,1 +np.float64,0x3fe40d8ccf681b1a,0x3fec97e9cd29966d,1 +np.float64,0x3fd6408210ac8104,0x3ff3737a7d374107,1 +np.float64,0x3fec8023b8f90048,0x3fde35ebfb2b3afd,1 +np.float64,0xbfe13babd4627758,0x40011dae5c07c56b,1 +np.float64,0xbfd2183e61a4307c,0x3ffdb80dd747cfbe,1 +np.float64,0x3feae8eb1d75d1d6,0x3fe24c1f6e42ae77,1 +np.float64,0xbfea559b9c74ab37,0x40044c8e5e123b20,1 +np.float64,0xbfd12c9d57a2593a,0x3ffd7ac6222f561c,1 +np.float64,0x3fe32eb697e65d6e,0x3fedb202693875b6,1 +np.float64,0xbfde0808c3bc1012,0x4000794bd8616ea3,1 +np.float64,0x3fe14958a06292b2,0x3ff0007b40ac648a,1 +np.float64,0x3fe3d388a6e7a712,0x3fece21751a6dd7c,1 +np.float64,0x3fe7ad7897ef5af2,0x3fe79c5b3da302a7,1 +np.float64,0x3fec75527e78eaa4,0x3fde655de0cf0508,1 +np.float64,0x3fea920d4c75241a,0x3fe2ea48f031d908,1 +np.float64,0x7fefffffffffffff,0x7ff8000000000000,1 +np.float64,0xbfc17a68cb22f4d0,0x3ffb530925f41aa0,1 +np.float64,0xbfe1c93166e39263,0x400147f3cb435dec,1 +np.float64,0x3feb97c402f72f88,0x3fe0fe5b561bf869,1 +np.float64,0x3fb58ff5162b1ff0,0x3ff7c8933fa969dc,1 +np.float64,0x3fe68e2beded1c58,0x3fe93c075283703b,1 +np.float64,0xbf94564cc828aca0,0x3ff97355e5ee35db,1 +np.float64,0x3fd31061c9a620c4,0x3ff44b150ec96998,1 +np.float64,0xbfc7d0c89f2fa190,0x3ffc208bf4eddc4d,1 +np.float64,0x3fe5736f1d6ae6de,0x3feac18f84992d1e,1 +np.float64,0x3fdb62e480b6c5c8,0x3ff20ecfdc4afe7c,1 +np.float64,0xbfc417228b282e44,0x3ffba78afea35979,1 +np.float64,0x3f8f5ba1303eb780,0x3ff8e343714630ff,1 +np.float64,0x3fe8e99126f1d322,0x3fe5b6511d4c0798,1 +np.float64,0xbfe2ec08a1e5d812,0x4001a0bb28a85875,1 +np.float64,0x3fea3b46cf74768e,0x3fe383dceaa74296,1 +np.float64,0xbfe008b5ed60116c,0x4000c3d62c275d40,1 +np.float64,0xbfcd9f8a4b3b3f14,0x3ffcde98d6484202,1 +np.float64,0xbfdb5fb112b6bf62,0x40001a22137ef1c9,1 +np.float64,0xbfe9079565f20f2b,0x4003c0670c92e401,1 +np.float64,0xbfce250dc53c4a1c,0x3ffcefc2b3dc3332,1 +np.float64,0x3fe9ba85d373750c,0x3fe4607131b28773,1 +np.float64,0x10000000000000,0x3ff921fb54442d18,1 +np.float64,0xbfeb9ef42c773de8,0x4004e5f239203ad8,1 +np.float64,0xbfd6bf457dad7e8a,0x3ffef2563d87b18d,1 +np.float64,0x3fe4de9aa5e9bd36,0x3feb87f97defb04a,1 +np.float64,0x3fedb4f67cfb69ec,0x3fd8603c465bffac,1 +np.float64,0x3fe7b6d9506f6db2,0x3fe78e670c7bdb67,1 +np.float64,0x3fe071717460e2e2,0x3ff07f84472d9cc5,1 +np.float64,0xbfed2e79dbfa5cf4,0x4005bffc6f9ad24f,1 +np.float64,0x3febb8adc377715c,0x3fe0bcebfbd45900,1 +np.float64,0xbfee2cffd87c5a00,0x40066b20a037c478,1 +np.float64,0x3fef7e358d7efc6c,0x3fc6d0ba71a542a8,1 +np.float64,0xbfef027eef7e04fe,0x400723291cb00a7a,1 +np.float64,0x3fac96da34392dc0,0x3ff83d260a936c6a,1 +np.float64,0x3fe9dba94a73b752,0x3fe428736b94885e,1 +np.float64,0x3fed37581efa6eb0,0x3fdae49dcadf1d90,1 +np.float64,0xbfe6e61037edcc20,0x4002f23031b8d522,1 +np.float64,0xbfdea7204dbd4e40,0x40008fe1f37918b7,1 +np.float64,0x3feb9f8edb773f1e,0x3fe0eef20bd4387b,1 +np.float64,0x3feeb0b6ed7d616e,0x3fd25fb3b7a525d6,1 +np.float64,0xbfd7ce9061af9d20,0x3fff3b25d531aa2b,1 +np.float64,0xbfc806b509300d6c,0x3ffc2768743a8360,1 +np.float64,0xbfa283882c250710,0x3ff9b61fda28914a,1 +np.float64,0x3fdec70050bd8e00,0x3ff11b1d769b578f,1 +np.float64,0xbfc858a44930b148,0x3ffc31d6758b4721,1 +np.float64,0x3fdc321150b86424,0x3ff1d5504c3c91e4,1 +np.float64,0x3fd9416870b282d0,0x3ff2a46f3a850f5b,1 +np.float64,0x3fdd756968baead4,0x3ff17ac510a5573f,1 +np.float64,0xbfedfd632cfbfac6,0x400648345a2f89b0,1 +np.float64,0x3fd6874285ad0e84,0x3ff36098ebff763f,1 +np.float64,0x3fe6daacc9edb55a,0x3fe8cf75fae1e35f,1 +np.float64,0x3fe53f19766a7e32,0x3feb07d0e97cd55b,1 +np.float64,0x3fd13cc36ca27988,0x3ff4c4ff801b1faa,1 +np.float64,0x3fe4f21cbce9e43a,0x3feb6e34a72ef529,1 +np.float64,0xbfc21c1cc9243838,0x3ffb67726394ca89,1 +np.float64,0x3fe947a3f2728f48,0x3fe51eae4660e23c,1 +np.float64,0xbfce78cd653cf19c,0x3ffcfa89194b3f5e,1 +np.float64,0x3fe756f049eeade0,0x3fe81be7f2d399e2,1 +np.float64,0xbfcc727cf138e4f8,0x3ffcb7f547841bb0,1 +np.float64,0xbfc2d8d58f25b1ac,0x3ffb7f496cc72458,1 +np.float64,0xbfcfd0e4653fa1c8,0x3ffd26e1309bc80b,1 +np.float64,0xbfe2126c106424d8,0x40015e0e01db6a4a,1 +np.float64,0x3fe580e4306b01c8,0x3feaaf683ce51aa5,1 +np.float64,0x3fcea8a1b93d5140,0x3ff543456c0d28c7,1 +np.float64,0xfff0000000000000,0x7ff8000000000000,1 +np.float64,0xbfd9d5da72b3abb4,0x3fffc8013113f968,1 +np.float64,0xbfe1fdfcea63fbfa,0x400157def2e4808d,1 +np.float64,0xbfc0022e0720045c,0x3ffb239963e7cbf2,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arccosh.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arccosh.csv new file mode 100644 index 0000000000000000000000000000000000000000..1b3eda484d73df76d5084592c2b38c7ef148de40 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arccosh.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0x3f83203f,0x3e61d9d6,2 +np.float32,0x3f98dea1,0x3f1d1af6,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0x7eba99af,0x42b0d032,2 +np.float32,0x3fc95a13,0x3f833650,2 +np.float32,0x3fce9a45,0x3f8771e1,2 +np.float32,0x3fc1bd96,0x3f797811,2 +np.float32,0x7eba2391,0x42b0ceed,2 +np.float32,0x7d4e8f15,0x42acdb8c,2 +np.float32,0x3feca42e,0x3f9cc88e,2 +np.float32,0x7e2b314e,0x42af412e,2 +np.float32,0x7f7fffff,0x42b2d4fc,2 +np.float32,0x3f803687,0x3d6c4380,2 +np.float32,0x3fa0edbd,0x3f33e706,2 +np.float32,0x3faa8074,0x3f4b3d3c,2 +np.float32,0x3fa0c49e,0x3f337af3,2 +np.float32,0x3f8c9ec4,0x3ee18812,2 +np.float32,0x7efef78e,0x42b17006,2 +np.float32,0x3fc75720,0x3f818aa4,2 +np.float32,0x7f52d4c8,0x42b27198,2 +np.float32,0x3f88f21e,0x3ebe52b0,2 +np.float32,0x3ff7a042,0x3fa3a07a,2 +np.float32,0x7f52115c,0x42b26fbd,2 +np.float32,0x3fc6bf6f,0x3f810b42,2 +np.float32,0x3fd105d0,0x3f895649,2 +np.float32,0x3fee7c2a,0x3f9df66e,2 +np.float32,0x7f0ff9a5,0x42b1ae4f,2 +np.float32,0x7e81f075,0x42b016e7,2 +np.float32,0x3fa57d65,0x3f3f70c6,2 +np.float32,0x80800000,0xffc00000,2 +np.float32,0x7da239f5,0x42adc2bf,2 +np.float32,0x3f9e432c,0x3f2cbd80,2 +np.float32,0x3ff2839b,0x3fa07ee4,2 +np.float32,0x3fec8aef,0x3f9cb850,2 +np.float32,0x7d325893,0x42ac905b,2 +np.float32,0x3fa27431,0x3f37dade,2 +np.float32,0x3fce7408,0x3f8753ae,2 +np.float32,0x3fde6684,0x3f93353f,2 +np.float32,0x3feb9a3e,0x3f9c1cff,2 +np.float32,0x7deb34bb,0x42ae80f0,2 +np.float32,0x3fed9300,0x3f9d61b7,2 +np.float32,0x7f35e253,0x42b225fb,2 +np.float32,0x7e6db57f,0x42afe93f,2 +np.float32,0x3fa41f08,0x3f3c10bc,2 +np.float32,0x3fb0d4da,0x3f590de3,2 +np.float32,0x3fb5c690,0x3f632351,2 +np.float32,0x3fcde9ce,0x3f86e638,2 +np.float32,0x3f809c7b,0x3dc81161,2 +np.float32,0x3fd77291,0x3f8e3226,2 +np.float32,0x3fc21a06,0x3f7a1a82,2 +np.float32,0x3fba177e,0x3f6b8139,2 +np.float32,0x7f370dff,0x42b22944,2 +np.float32,0x3fe5bfcc,0x3f9841c1,2 +np.float32,0x3feb0caa,0x3f9bc139,2 +np.float32,0x7f4fe5c3,0x42b26a6c,2 +np.float32,0x7f1e1419,0x42b1de28,2 +np.float32,0x7f5e3c96,0x42b28c92,2 +np.float32,0x3f8cd313,0x3ee3521e,2 +np.float32,0x3fa97824,0x3f48e049,2 +np.float32,0x7d8ca281,0x42ad799e,2 +np.float32,0x3f96b51b,0x3f165193,2 +np.float32,0x3f81328a,0x3e0bf504,2 +np.float32,0x3ff60bf3,0x3fa2ab45,2 +np.float32,0x3ff9b629,0x3fa4e107,2 +np.float32,0x3fecacfc,0x3f9cce37,2 +np.float32,0x3fba8804,0x3f6c5600,2 +np.float32,0x3f81f752,0x3e333fdd,2 +np.float32,0x3fb5b262,0x3f62fb46,2 +np.float32,0x3fa21bc0,0x3f36f7e6,2 +np.float32,0x3fbc87bb,0x3f7011dc,2 +np.float32,0x3fe18b32,0x3f9565ae,2 +np.float32,0x7dfb6dd5,0x42aea316,2 +np.float32,0x3fb7c602,0x3f670ee3,2 +np.float32,0x7efeb6a2,0x42b16f84,2 +np.float32,0x3fa56180,0x3f3f2ca4,2 +np.float32,0x3f8dcaff,0x3eeb9ac0,2 +np.float32,0x7e876238,0x42b02beb,2 +np.float32,0x7f0bb67d,0x42b19eec,2 +np.float32,0x3faca01c,0x3f4fffa5,2 +np.float32,0x3fdb57ee,0x3f9108b8,2 +np.float32,0x3fe3bade,0x3f96e4b7,2 +np.float32,0x7f7aa2dd,0x42b2ca25,2 +np.float32,0x3fed92ec,0x3f9d61aa,2 +np.float32,0x7eb789b1,0x42b0c7b9,2 +np.float32,0x7f7f16e4,0x42b2d329,2 +np.float32,0x3fb6647e,0x3f645b84,2 +np.float32,0x3f99335e,0x3f1e1d96,2 +np.float32,0x7e690a11,0x42afdf17,2 +np.float32,0x7dff2f95,0x42aeaaae,2 +np.float32,0x7f70adfd,0x42b2b564,2 +np.float32,0x3fe92252,0x3f9a80fe,2 +np.float32,0x3fef54ce,0x3f9e7fe5,2 +np.float32,0x3ff24eaa,0x3fa05df9,2 +np.float32,0x7f04565a,0x42b18328,2 +np.float32,0x3fcb8b80,0x3f85007f,2 +np.float32,0x3fcd4d0a,0x3f866983,2 +np.float32,0x3fbe7d82,0x3f73a911,2 +np.float32,0x3f8a7a8a,0x3ecdc8f6,2 +np.float32,0x3f912441,0x3f030d56,2 +np.float32,0x3f9b29d6,0x3f23f663,2 +np.float32,0x3fab7f36,0x3f4d7c6c,2 +np.float32,0x7dfedafc,0x42aeaa04,2 +np.float32,0x3fe190c0,0x3f956982,2 +np.float32,0x3f927515,0x3f07e0bb,2 +np.float32,0x3ff6442a,0x3fa2cd7e,2 +np.float32,0x7f6656d0,0x42b29ee8,2 +np.float32,0x3fe29aa0,0x3f96201f,2 +np.float32,0x3fa4a247,0x3f3d5687,2 +np.float32,0x3fa1cf19,0x3f363226,2 +np.float32,0x3fc20037,0x3f79ed36,2 +np.float32,0x7cc1241a,0x42ab5645,2 +np.float32,0x3fafd540,0x3f56f25a,2 +np.float32,0x7e5b3f5f,0x42afbfdb,2 +np.float32,0x7f48de5f,0x42b258d0,2 +np.float32,0x3fce1ca0,0x3f870e85,2 +np.float32,0x7ee40bb2,0x42b136e4,2 +np.float32,0x7ecdb133,0x42b10212,2 +np.float32,0x3f9f181c,0x3f2f02ca,2 +np.float32,0x3f936cbf,0x3f0b4f63,2 +np.float32,0x3fa4f8ea,0x3f3e2c2f,2 +np.float32,0x3fcc03e2,0x3f8561ac,2 +np.float32,0x3fb801f2,0x3f67831b,2 +np.float32,0x7e141dad,0x42aef70c,2 +np.float32,0x3fe8c04e,0x3f9a4087,2 +np.float32,0x3f8548d5,0x3e929f37,2 +np.float32,0x7f148d7d,0x42b1be56,2 +np.float32,0x3fd2c9a2,0x3f8ab1ed,2 +np.float32,0x7eb374fd,0x42b0bc36,2 +np.float32,0x7f296d36,0x42b201a7,2 +np.float32,0x3ff138e2,0x3f9fb09d,2 +np.float32,0x3ff42898,0x3fa18347,2 +np.float32,0x7da8c5e1,0x42add700,2 +np.float32,0x7dcf72c4,0x42ae40a4,2 +np.float32,0x7ea571fc,0x42b09296,2 +np.float32,0x3fc0953d,0x3f776ba3,2 +np.float32,0x7f1773dd,0x42b1c83c,2 +np.float32,0x7ef53b68,0x42b15c17,2 +np.float32,0x3f85d69f,0x3e9a0f3a,2 +np.float32,0x7e8b9a05,0x42b03ba0,2 +np.float32,0x3ff07d20,0x3f9f3ad2,2 +np.float32,0x7e8da32c,0x42b0430a,2 +np.float32,0x7ef96004,0x42b164ab,2 +np.float32,0x3fdfaa62,0x3f941837,2 +np.float32,0x7f0057c5,0x42b17377,2 +np.float32,0x3fb2663f,0x3f5c5065,2 +np.float32,0x3fd3d8c3,0x3f8b8055,2 +np.float32,0x1,0xffc00000,2 +np.float32,0x3fd536c1,0x3f8c8862,2 +np.float32,0x3f91b953,0x3f053619,2 +np.float32,0x3fb3305c,0x3f5deee1,2 +np.float32,0x7ecd86b9,0x42b101a8,2 +np.float32,0x3fbf71c5,0x3f75624d,2 +np.float32,0x3ff5f0f4,0x3fa29ad2,2 +np.float32,0x3fe50389,0x3f97c328,2 +np.float32,0x3fa325a1,0x3f399e69,2 +np.float32,0x3fe4397a,0x3f973a9f,2 +np.float32,0x3f8684c6,0x3ea2b784,2 +np.float32,0x7f25ae00,0x42b1f634,2 +np.float32,0x3ff7cbf7,0x3fa3badb,2 +np.float32,0x7f73f0e0,0x42b2bc48,2 +np.float32,0x3fc88b70,0x3f828b92,2 +np.float32,0x3fb01c16,0x3f578886,2 +np.float32,0x7e557623,0x42afb229,2 +np.float32,0x3fcbcd5b,0x3f8535b4,2 +np.float32,0x7f7157e4,0x42b2b6cd,2 +np.float32,0x7f51d9d4,0x42b26f36,2 +np.float32,0x7f331a3b,0x42b21e17,2 +np.float32,0x7f777fb5,0x42b2c3b2,2 +np.float32,0x3f832001,0x3e61d11f,2 +np.float32,0x7f2cd055,0x42b20bca,2 +np.float32,0x3f89831f,0x3ec42f76,2 +np.float32,0x7f21da33,0x42b1ea3d,2 +np.float32,0x3f99e416,0x3f20330a,2 +np.float32,0x7f2c8ea1,0x42b20b07,2 +np.float32,0x7f462c98,0x42b251e6,2 +np.float32,0x7f4fdb3f,0x42b26a52,2 +np.float32,0x3fcc1338,0x3f856e07,2 +np.float32,0x3f823673,0x3e3e20da,2 +np.float32,0x7dbfe89d,0x42ae18c6,2 +np.float32,0x3fc9b04c,0x3f837d38,2 +np.float32,0x7dba3213,0x42ae094d,2 +np.float32,0x7ec5a483,0x42b0eda1,2 +np.float32,0x3fbc4d14,0x3f6fa543,2 +np.float32,0x3fc85ce2,0x3f8264f1,2 +np.float32,0x7f77c816,0x42b2c447,2 +np.float32,0x3f9c9281,0x3f280492,2 +np.float32,0x7f49b3e2,0x42b25aef,2 +np.float32,0x3fa7e4da,0x3f45347c,2 +np.float32,0x7e0c9df5,0x42aedc72,2 +np.float32,0x7f21fd1a,0x42b1eaab,2 +np.float32,0x7f7c63ad,0x42b2cdb6,2 +np.float32,0x7f4eb80a,0x42b26783,2 +np.float32,0x7e98038c,0x42b0673c,2 +np.float32,0x7e89ba08,0x42b034b4,2 +np.float32,0x3ffc06ba,0x3fa64094,2 +np.float32,0x3fae63f6,0x3f53db36,2 +np.float32,0x3fbc2d30,0x3f6f6a1c,2 +np.float32,0x7de0e5e5,0x42ae69fe,2 +np.float32,0x7e09ed18,0x42aed28d,2 +np.float32,0x3fea78f8,0x3f9b6129,2 +np.float32,0x7dfe0bcc,0x42aea863,2 +np.float32,0x7ee21d03,0x42b13289,2 +np.float32,0x3fcc3aed,0x3f858dfc,2 +np.float32,0x3fe6b3ba,0x3f98e4ea,2 +np.float32,0x3f90f25f,0x3f025225,2 +np.float32,0x7f1bcaf4,0x42b1d6b3,2 +np.float32,0x3f83ac81,0x3e74c20e,2 +np.float32,0x3f98681d,0x3f1bae16,2 +np.float32,0x3fe1f2d9,0x3f95ad08,2 +np.float32,0x3fa279d7,0x3f37e951,2 +np.float32,0x3feb922a,0x3f9c17c4,2 +np.float32,0x7f1c72e8,0x42b1d8da,2 +np.float32,0x3fea156b,0x3f9b2038,2 +np.float32,0x3fed6bda,0x3f9d48aa,2 +np.float32,0x3fa86142,0x3f46589c,2 +np.float32,0x3ff16bc2,0x3f9fd072,2 +np.float32,0x3fbebf65,0x3f74207b,2 +np.float32,0x7e7b78b5,0x42b00610,2 +np.float32,0x3ff51ab8,0x3fa217f0,2 +np.float32,0x3f8361bb,0x3e6adf07,2 +np.float32,0x7edbceed,0x42b1240e,2 +np.float32,0x7f10e2c0,0x42b1b18a,2 +np.float32,0x3fa7bc58,0x3f44d4ef,2 +np.float32,0x3f813bde,0x3e0e1138,2 +np.float32,0x7f30d5b9,0x42b21791,2 +np.float32,0x3fb4f450,0x3f61806a,2 +np.float32,0x7eee02c4,0x42b14cca,2 +np.float32,0x7ec74b62,0x42b0f1e4,2 +np.float32,0x3ff96bca,0x3fa4b498,2 +np.float32,0x7f50e304,0x42b26cda,2 +np.float32,0x7eb14c57,0x42b0b603,2 +np.float32,0x7c3f0733,0x42a9edbf,2 +np.float32,0x7ea57acb,0x42b092b1,2 +np.float32,0x7f2788dc,0x42b1fbe7,2 +np.float32,0x3fa39f14,0x3f3ad09b,2 +np.float32,0x3fc3a7e0,0x3f7ccfa0,2 +np.float32,0x3fe70a73,0x3f991eb0,2 +np.float32,0x7f4831f7,0x42b25718,2 +np.float32,0x3fe947d0,0x3f9a999c,2 +np.float32,0x7ef2b1c7,0x42b156c4,2 +np.float32,0x3fede0ea,0x3f9d937f,2 +np.float32,0x3f9fef8e,0x3f314637,2 +np.float32,0x3fc313c5,0x3f7bcebd,2 +np.float32,0x7ee99337,0x42b14328,2 +np.float32,0x7eb9042e,0x42b0cbd5,2 +np.float32,0x3fc9d3dc,0x3f839a69,2 +np.float32,0x3fb2c018,0x3f5d091d,2 +np.float32,0x3fcc4e8f,0x3f859dc5,2 +np.float32,0x3fa9363b,0x3f484819,2 +np.float32,0x7f72ce2e,0x42b2b9e4,2 +np.float32,0x7e639326,0x42afd2f1,2 +np.float32,0x7f4595d3,0x42b25060,2 +np.float32,0x7f6d0ac4,0x42b2ad97,2 +np.float32,0x7f1bda0d,0x42b1d6e5,2 +np.float32,0x3fd85ffd,0x3f8ee0ed,2 +np.float32,0x3f91d53f,0x3f059c8e,2 +np.float32,0x7d06e103,0x42ac0155,2 +np.float32,0x3fb83126,0x3f67de6e,2 +np.float32,0x7d81ce1f,0x42ad5097,2 +np.float32,0x7f79cb3b,0x42b2c86b,2 +np.float32,0x7f800000,0x7f800000,2 +np.float32,0x3fdbfffd,0x3f918137,2 +np.float32,0x7f4ecb1c,0x42b267b2,2 +np.float32,0x3fc2c122,0x3f7b3ed3,2 +np.float32,0x7f415854,0x42b24544,2 +np.float32,0x7e3d988b,0x42af7575,2 +np.float32,0x3f83ca99,0x3e789fcb,2 +np.float32,0x7f274f70,0x42b1fb38,2 +np.float32,0x7f0d20e6,0x42b1a416,2 +np.float32,0x3fdf3a1d,0x3f93c9c1,2 +np.float32,0x7efaa13e,0x42b1673d,2 +np.float32,0x3fb20b15,0x3f5b9434,2 +np.float32,0x3f86af9f,0x3ea4c664,2 +np.float32,0x3fe4fcb0,0x3f97be8a,2 +np.float32,0x3f920683,0x3f065085,2 +np.float32,0x3fa4b278,0x3f3d7e8b,2 +np.float32,0x3f8077a8,0x3daef77f,2 +np.float32,0x7e865be4,0x42b02807,2 +np.float32,0x3fcea7e2,0x3f877c9f,2 +np.float32,0x7e7e9db1,0x42b00c6d,2 +np.float32,0x3f9819aa,0x3f1aba7e,2 +np.float32,0x7f2b6c4b,0x42b207a7,2 +np.float32,0x7ef85e3e,0x42b16299,2 +np.float32,0x3fbd8290,0x3f71df8b,2 +np.float32,0x3fbbb615,0x3f6e8c8c,2 +np.float32,0x7f1bc7f5,0x42b1d6a9,2 +np.float32,0x3fbb4fea,0x3f6dcdad,2 +np.float32,0x3fb67e09,0x3f648dd1,2 +np.float32,0x3fc83495,0x3f824374,2 +np.float32,0x3fe52980,0x3f97dcbc,2 +np.float32,0x3f87d893,0x3eb25d7c,2 +np.float32,0x3fdb805a,0x3f9125c0,2 +np.float32,0x3fb33f0f,0x3f5e0ce1,2 +np.float32,0x3facc524,0x3f50516b,2 +np.float32,0x3ff40484,0x3fa16d0e,2 +np.float32,0x3ff078bf,0x3f9f3811,2 +np.float32,0x7f736747,0x42b2bb27,2 +np.float32,0x7f55768b,0x42b277f3,2 +np.float32,0x80000001,0xffc00000,2 +np.float32,0x7f6463d1,0x42b29a8e,2 +np.float32,0x3f8f8b59,0x3ef9d792,2 +np.float32,0x3f8a6f4d,0x3ecd5bf4,2 +np.float32,0x3fe958d9,0x3f9aa4ca,2 +np.float32,0x7f1e2ce2,0x42b1de78,2 +np.float32,0x3fb8584a,0x3f682a05,2 +np.float32,0x7dea3dc6,0x42ae7ed5,2 +np.float32,0x7f53a815,0x42b27399,2 +np.float32,0x7e0cf986,0x42aeddbf,2 +np.float32,0x7f3afb71,0x42b23422,2 +np.float32,0x3fd87d6e,0x3f8ef685,2 +np.float32,0x3ffcaa46,0x3fa6a0d7,2 +np.float32,0x7eecd276,0x42b14a3a,2 +np.float32,0x3ffc30b4,0x3fa65951,2 +np.float32,0x7e9c85e2,0x42b07634,2 +np.float32,0x3f95d862,0x3f1383de,2 +np.float32,0x7ef21410,0x42b15577,2 +np.float32,0x3fbfa1b5,0x3f75b86e,2 +np.float32,0x3fd6d90f,0x3f8dc086,2 +np.float32,0x0,0xffc00000,2 +np.float32,0x7e885dcd,0x42b02f9f,2 +np.float32,0x3fb3e057,0x3f5f54bf,2 +np.float32,0x7f40afdd,0x42b24385,2 +np.float32,0x3fb795c2,0x3f66b120,2 +np.float32,0x3fba7c11,0x3f6c3f73,2 +np.float32,0x3ffef620,0x3fa7f828,2 +np.float32,0x7d430508,0x42acbe1e,2 +np.float32,0x3f8d2892,0x3ee6369f,2 +np.float32,0x3fbea139,0x3f73e9d5,2 +np.float32,0x3ffaa928,0x3fa571b9,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0x7f16f9ce,0x42b1c69f,2 +np.float32,0x3fa8f753,0x3f47b657,2 +np.float32,0x3fd48a63,0x3f8c06ac,2 +np.float32,0x7f13419e,0x42b1b9d9,2 +np.float32,0x3fdf1526,0x3f93afde,2 +np.float32,0x3f903c8b,0x3eff3be8,2 +np.float32,0x7f085323,0x42b1925b,2 +np.float32,0x7cdbe309,0x42ab98ac,2 +np.float32,0x3fba2cfd,0x3f6ba9f1,2 +np.float32,0x7f5a805d,0x42b283e4,2 +np.float32,0x7f6753dd,0x42b2a119,2 +np.float32,0x3fed9f02,0x3f9d6964,2 +np.float32,0x3f96422c,0x3f14ddba,2 +np.float32,0x7f22f2a9,0x42b1edb1,2 +np.float32,0x3fe3fcfd,0x3f97119d,2 +np.float32,0x7e018ad0,0x42aeb271,2 +np.float32,0x7db896f5,0x42ae04de,2 +np.float32,0x7e55c795,0x42afb2ec,2 +np.float32,0x7f58ef8d,0x42b28036,2 +np.float32,0x7f24a16a,0x42b1f2f3,2 +np.float32,0x3fcf714c,0x3f881b09,2 +np.float32,0x3fcdd056,0x3f86d200,2 +np.float32,0x7f02fad0,0x42b17de0,2 +np.float32,0x7eeab877,0x42b145a9,2 +np.float32,0x3fd6029d,0x3f8d20f7,2 +np.float32,0x3fd4f8cd,0x3f8c59d6,2 +np.float32,0x3fb29d4a,0x3f5cc1a5,2 +np.float32,0x3fb11e2d,0x3f59a77a,2 +np.float32,0x7eded576,0x42b12b0e,2 +np.float32,0x7f26c2a5,0x42b1f988,2 +np.float32,0x3fb6165b,0x3f63c151,2 +np.float32,0x7f3bca47,0x42b23657,2 +np.float32,0x7d8c93bf,0x42ad7968,2 +np.float32,0x3f8ede02,0x3ef47176,2 +np.float32,0x3fbef762,0x3f7485b9,2 +np.float32,0x7f1419af,0x42b1bcc6,2 +np.float32,0x7d9e8c79,0x42adb701,2 +np.float32,0x3fa26336,0x3f37af63,2 +np.float32,0x7f5f5590,0x42b28f18,2 +np.float32,0x3fddc93a,0x3f92c651,2 +np.float32,0x3ff0a5fc,0x3f9f547f,2 +np.float32,0x3fb2f6b8,0x3f5d790e,2 +np.float32,0x3ffe59a4,0x3fa79d2c,2 +np.float32,0x7e4df848,0x42af9fde,2 +np.float32,0x3fb0ab3b,0x3f58b678,2 +np.float32,0x7ea54d47,0x42b09225,2 +np.float32,0x3fdd6404,0x3f927eb2,2 +np.float32,0x3f846dc0,0x3e864caa,2 +np.float32,0x7d046aee,0x42abf7e7,2 +np.float32,0x7f7c5a05,0x42b2cda3,2 +np.float32,0x3faf6126,0x3f55fb21,2 +np.float32,0x7f36a910,0x42b22829,2 +np.float32,0x3fdc7b36,0x3f91d938,2 +np.float32,0x3fff443e,0x3fa82577,2 +np.float32,0x7ee7154a,0x42b13daa,2 +np.float32,0x3f944742,0x3f0e435c,2 +np.float32,0x7f5b510a,0x42b285cc,2 +np.float32,0x3f9bc940,0x3f25c4d2,2 +np.float32,0x3fee4782,0x3f9dd4ea,2 +np.float32,0x3fcfc2dd,0x3f885aea,2 +np.float32,0x7eab65cf,0x42b0a4af,2 +np.float32,0x3f9cf908,0x3f292689,2 +np.float32,0x7ed35501,0x42b10feb,2 +np.float32,0x7dabb70a,0x42addfd9,2 +np.float32,0x7f348919,0x42b2222b,2 +np.float32,0x3fb137d4,0x3f59dd17,2 +np.float32,0x7e7b36c9,0x42b0058a,2 +np.float32,0x7e351fa4,0x42af5e0d,2 +np.float32,0x3f973c0c,0x3f18011e,2 +np.float32,0xff800000,0xffc00000,2 +np.float32,0x3f9b0a4b,0x3f239a33,2 +np.float32,0x3f87c4cf,0x3eb17e7e,2 +np.float32,0x7ef67760,0x42b15eaa,2 +np.float32,0x3fc4d2c8,0x3f7ed20f,2 +np.float32,0x7e940dac,0x42b059b8,2 +np.float32,0x7f6e6a52,0x42b2b08d,2 +np.float32,0x3f838752,0x3e6fe4b2,2 +np.float32,0x3fd8f046,0x3f8f4a94,2 +np.float32,0x3fa82112,0x3f45c223,2 +np.float32,0x3fd49b16,0x3f8c1345,2 +np.float32,0x7f02a941,0x42b17ca1,2 +np.float32,0x3f8a9d2c,0x3ecf1768,2 +np.float32,0x7c9372e3,0x42aacc0f,2 +np.float32,0x3fd260b3,0x3f8a619a,2 +np.float32,0x3f8a1b88,0x3eca27cb,2 +np.float32,0x7d25d510,0x42ac6b1c,2 +np.float32,0x7ef5a578,0x42b15cf5,2 +np.float32,0x3fe6625d,0x3f98ae9a,2 +np.float32,0x3ff53240,0x3fa22658,2 +np.float32,0x3f8bb2e6,0x3ed944cf,2 +np.float32,0x7f4679b1,0x42b252ad,2 +np.float32,0x3fa8db30,0x3f4774fc,2 +np.float32,0x7ee5fafd,0x42b13b37,2 +np.float32,0x3fc405e0,0x3f7d71fb,2 +np.float32,0x3f9303cd,0x3f09ddfd,2 +np.float32,0x7f486e67,0x42b257b2,2 +np.float32,0x7e73f12b,0x42aff680,2 +np.float32,0x3fe80f8b,0x3f99cbe4,2 +np.float32,0x3f84200a,0x3e81a3f3,2 +np.float32,0x3fa14e5c,0x3f34e3ce,2 +np.float32,0x3fda22ec,0x3f9029bb,2 +np.float32,0x3f801772,0x3d1aef98,2 +np.float32,0x7eaa1428,0x42b0a0bb,2 +np.float32,0x3feae0b3,0x3f9ba4aa,2 +np.float32,0x7ea439b4,0x42b08ecc,2 +np.float32,0x3fa28b1c,0x3f381579,2 +np.float32,0x7e8af247,0x42b03937,2 +np.float32,0x3fd19216,0x3f89c2b7,2 +np.float32,0x7f6ea033,0x42b2b100,2 +np.float32,0x3fad4fbf,0x3f518224,2 +np.float32,0x3febd940,0x3f9c45bd,2 +np.float32,0x7f4643a3,0x42b25221,2 +np.float32,0x7ec34478,0x42b0e771,2 +np.float32,0x7f18c83b,0x42b1ccb5,2 +np.float32,0x3fc665ad,0x3f80bf94,2 +np.float32,0x3ff0a999,0x3f9f56c4,2 +np.float32,0x3faf1cd2,0x3f5568fe,2 +np.float32,0x7ecd9dc6,0x42b101e1,2 +np.float32,0x3faad282,0x3f4bf754,2 +np.float32,0x3ff905a0,0x3fa47771,2 +np.float32,0x7f596481,0x42b28149,2 +np.float32,0x7f1cb31f,0x42b1d9ac,2 +np.float32,0x7e266719,0x42af32a6,2 +np.float32,0x7eccce06,0x42b0ffdb,2 +np.float32,0x3f9b6f71,0x3f24c102,2 +np.float32,0x3f80e4ba,0x3df1d6bc,2 +np.float32,0x3f843d51,0x3e836a60,2 +np.float32,0x7f70bd88,0x42b2b585,2 +np.float32,0x3fe4cc96,0x3f979e18,2 +np.float32,0x3ff737c7,0x3fa36151,2 +np.float32,0x3ff1197e,0x3f9f9cf4,2 +np.float32,0x7f08e190,0x42b19471,2 +np.float32,0x3ff1542e,0x3f9fc1b2,2 +np.float32,0x3ff6673c,0x3fa2e2d2,2 +np.float32,0xbf800000,0xffc00000,2 +np.float32,0x7e3f9ba7,0x42af7add,2 +np.float32,0x7f658ff6,0x42b29d2d,2 +np.float32,0x3f93441c,0x3f0ac0d9,2 +np.float32,0x7f526a74,0x42b27096,2 +np.float32,0x7f5b00c8,0x42b28511,2 +np.float32,0x3ff212f8,0x3fa038cf,2 +np.float32,0x7e0bd60d,0x42aed998,2 +np.float32,0x7f71ef7f,0x42b2b80e,2 +np.float32,0x7f7a897e,0x42b2c9f1,2 +np.float32,0x7e8b76a6,0x42b03b1e,2 +np.float32,0x7efa0da3,0x42b1660f,2 +np.float32,0x3fce9166,0x3f876ae0,2 +np.float32,0x3fc4163d,0x3f7d8e30,2 +np.float32,0x3fdb3784,0x3f90f16b,2 +np.float32,0x7c5f177b,0x42aa3d30,2 +np.float32,0x3fc6276d,0x3f808af5,2 +np.float32,0x7bac9cc2,0x42a856f4,2 +np.float32,0x3fe5876f,0x3f981bea,2 +np.float32,0x3fef60e3,0x3f9e878a,2 +np.float32,0x3fb23cd8,0x3f5bfb06,2 +np.float32,0x3fe114e2,0x3f951402,2 +np.float32,0x7ca8ef04,0x42ab11b4,2 +np.float32,0x7d93c2ad,0x42ad92ec,2 +np.float32,0x3fe5bb8a,0x3f983ee6,2 +np.float32,0x7f0182fd,0x42b1781b,2 +np.float32,0x7da63bb2,0x42adcf3d,2 +np.float32,0x3fac46b7,0x3f4f399e,2 +np.float32,0x7f7a5d8f,0x42b2c997,2 +np.float32,0x7f76572e,0x42b2c14b,2 +np.float32,0x7f42d53e,0x42b24931,2 +np.float32,0x7f7ffd00,0x42b2d4f6,2 +np.float32,0x3fc346c3,0x3f7c2756,2 +np.float32,0x7f1f6ae3,0x42b1e27a,2 +np.float32,0x3f87fb56,0x3eb3e2ee,2 +np.float32,0x3fed17a2,0x3f9d12b4,2 +np.float32,0x7f5ea903,0x42b28d8c,2 +np.float32,0x3f967f82,0x3f15a4ab,2 +np.float32,0x7d3b540c,0x42aca984,2 +np.float32,0x7f56711a,0x42b27a4a,2 +np.float32,0x7f122223,0x42b1b5ee,2 +np.float32,0x3fd6fa34,0x3f8dd919,2 +np.float32,0x3fadd62e,0x3f52a7b3,2 +np.float32,0x3fb7bf0c,0x3f67015f,2 +np.float32,0x7edf4ba7,0x42b12c1d,2 +np.float32,0x7e33cc65,0x42af5a4b,2 +np.float32,0x3fa6be17,0x3f427831,2 +np.float32,0x3fa07aa8,0x3f32b7d4,2 +np.float32,0x3fa4a3af,0x3f3d5a01,2 +np.float32,0x3fdbb267,0x3f9149a8,2 +np.float32,0x7ed45e25,0x42b1126c,2 +np.float32,0x3fe3f432,0x3f970ba6,2 +np.float32,0x7f752080,0x42b2bec3,2 +np.float32,0x3f872747,0x3eaa62ea,2 +np.float32,0x7e52175d,0x42afaa03,2 +np.float32,0x3fdc766c,0x3f91d5ce,2 +np.float32,0x7ecd6841,0x42b1015c,2 +np.float32,0x7f3d6c40,0x42b23ac6,2 +np.float32,0x3fb80c14,0x3f6796b9,2 +np.float32,0x3ff6ad56,0x3fa30d68,2 +np.float32,0x3fda44c3,0x3f90423e,2 +np.float32,0x3fdcba0c,0x3f9205fc,2 +np.float32,0x7e14a720,0x42aef8e6,2 +np.float32,0x3fe9e489,0x3f9b0047,2 +np.float32,0x7e69f933,0x42afe123,2 +np.float32,0x3ff3ee6d,0x3fa15f71,2 +np.float32,0x3f8538cd,0x3e91c1a7,2 +np.float32,0x3fdc3f07,0x3f91ae46,2 +np.float32,0x3fba2ef0,0x3f6bada2,2 +np.float32,0x7da64cd8,0x42adcf71,2 +np.float32,0x3fc34bd2,0x3f7c301d,2 +np.float32,0x3fa273aa,0x3f37d984,2 +np.float32,0x3ff0338c,0x3f9f0c86,2 +np.float32,0x7ed62cef,0x42b116c3,2 +np.float32,0x3f911e7e,0x3f02f7c6,2 +np.float32,0x7c8514c9,0x42aa9792,2 +np.float32,0x3fea2a74,0x3f9b2df5,2 +np.float32,0x3fe036f8,0x3f947a25,2 +np.float32,0x7c5654bf,0x42aa28ad,2 +np.float32,0x3fd9e423,0x3f8ffc32,2 +np.float32,0x7eec0439,0x42b1487b,2 +np.float32,0x3fc580f4,0x3f7ffb62,2 +np.float32,0x3fb0e316,0x3f592bbe,2 +np.float32,0x7c4cfb7d,0x42aa11d8,2 +np.float32,0x3faf9704,0x3f566e00,2 +np.float32,0x3fa7cf8a,0x3f45023d,2 +np.float32,0x7f7b724d,0x42b2cbcc,2 +np.float32,0x7f05bfe3,0x42b18897,2 +np.float32,0x3f90bde3,0x3f018bf3,2 +np.float32,0x7c565479,0x42aa28ad,2 +np.float32,0x3f94b517,0x3f0fb8e5,2 +np.float32,0x3fd6aadd,0x3f8d9e3c,2 +np.float32,0x7f09b37c,0x42b1977f,2 +np.float32,0x7f2b45ea,0x42b20734,2 +np.float32,0x3ff1d15e,0x3fa00fe9,2 +np.float32,0x3f99bce6,0x3f1fbd6c,2 +np.float32,0x7ecd1f76,0x42b100a7,2 +np.float32,0x7f443e2b,0x42b24ce2,2 +np.float32,0x7da7d6a5,0x42add428,2 +np.float32,0x7ebe0193,0x42b0d975,2 +np.float32,0x7ee13c43,0x42b1308b,2 +np.float32,0x3f8adf1b,0x3ed18e0c,2 +np.float32,0x7f76ce65,0x42b2c242,2 +np.float32,0x7e34f43d,0x42af5d92,2 +np.float32,0x7f306b76,0x42b2165d,2 +np.float32,0x7e1fd07f,0x42af1df7,2 +np.float32,0x3fab9a41,0x3f4db909,2 +np.float32,0x3fc23d1a,0x3f7a5803,2 +np.float32,0x3f8b7403,0x3ed70245,2 +np.float32,0x3f8c4dd6,0x3edebbae,2 +np.float32,0x3fe5f411,0x3f9864cd,2 +np.float32,0x3f88128b,0x3eb4e508,2 +np.float32,0x3fcb09de,0x3f84976f,2 +np.float32,0x7f32f2f5,0x42b21da6,2 +np.float32,0x3fe75610,0x3f9950f6,2 +np.float32,0x3f993edf,0x3f1e408d,2 +np.float32,0x3fc4a9d7,0x3f7e8be9,2 +np.float32,0x7f74551a,0x42b2bd1a,2 +np.float32,0x7de87129,0x42ae7ae2,2 +np.float32,0x7f18bbbd,0x42b1cc8c,2 +np.float32,0x7e7e1dd4,0x42b00b6c,2 +np.float32,0x3ff6e55b,0x3fa32f64,2 +np.float32,0x3fa634c8,0x3f412df3,2 +np.float32,0x3fd0fb7c,0x3f894e49,2 +np.float32,0x3ff4f6a6,0x3fa201d7,2 +np.float32,0x7f69d418,0x42b2a69a,2 +np.float32,0x7cb9632d,0x42ab414a,2 +np.float32,0x3fc57d36,0x3f7ff503,2 +np.float32,0x7e9e2ed7,0x42b07b9b,2 +np.float32,0x7f2e6868,0x42b2107d,2 +np.float32,0x3fa3169a,0x3f39785d,2 +np.float32,0x7f03cde0,0x42b18117,2 +np.float32,0x7f6d75d2,0x42b2ae7f,2 +np.float32,0x3ff483f2,0x3fa1bb75,2 +np.float32,0x7f1b39f7,0x42b1d4d6,2 +np.float32,0x3f8c7a7d,0x3ee0481e,2 +np.float32,0x3f989095,0x3f1c2b19,2 +np.float32,0x3fa4cbfd,0x3f3dbd87,2 +np.float32,0x7f75b00f,0x42b2bfef,2 +np.float32,0x3f940724,0x3f0d6756,2 +np.float32,0x7f5e5a1a,0x42b28cd6,2 +np.float32,0x800000,0xffc00000,2 +np.float32,0x7edd1d29,0x42b12716,2 +np.float32,0x3fa3e9e4,0x3f3b8c16,2 +np.float32,0x7e46d70e,0x42af8dd5,2 +np.float32,0x3f824745,0x3e40ec1e,2 +np.float32,0x3fd67623,0x3f8d770a,2 +np.float32,0x3fe9a6f3,0x3f9ad7fa,2 +np.float32,0x3fdda67c,0x3f92adc1,2 +np.float32,0x7ccb6c9a,0x42ab70d4,2 +np.float32,0x3ffd364a,0x3fa6f2fe,2 +np.float32,0x7e02424c,0x42aeb545,2 +np.float32,0x3fb6d2f2,0x3f6534a1,2 +np.float32,0x3fe1fe26,0x3f95b4cc,2 +np.float32,0x7e93ac57,0x42b05867,2 +np.float32,0x7f7b3433,0x42b2cb4d,2 +np.float32,0x3fb76803,0x3f66580d,2 +np.float32,0x3f9af881,0x3f23661b,2 +np.float32,0x3fd58062,0x3f8cbf98,2 +np.float32,0x80000000,0xffc00000,2 +np.float32,0x7f1af8f4,0x42b1d3ff,2 +np.float32,0x3fe66bba,0x3f98b4dc,2 +np.float32,0x7f6bd7bf,0x42b2aaff,2 +np.float32,0x3f84f79a,0x3e8e2e49,2 +np.float32,0x7e475b06,0x42af8f28,2 +np.float32,0x3faff89b,0x3f573d5e,2 +np.float32,0x7de5aa77,0x42ae74bb,2 +np.float32,0x3f8e9e42,0x3ef26cd2,2 +np.float32,0x3fb1cec3,0x3f5b1740,2 +np.float32,0x3f8890d6,0x3eba4821,2 +np.float32,0x3f9b39e9,0x3f242547,2 +np.float32,0x3fc895a4,0x3f829407,2 +np.float32,0x7f77943c,0x42b2c3dc,2 +np.float32,0x7f390d58,0x42b22ed2,2 +np.float32,0x3fe7e160,0x3f99ad58,2 +np.float32,0x3f93d2a0,0x3f0cb205,2 +np.float32,0x7f29499b,0x42b2013c,2 +np.float32,0x3f8c11b2,0x3edca10f,2 +np.float32,0x7e898ef8,0x42b03413,2 +np.float32,0x3fdff942,0x3f944f34,2 +np.float32,0x7f3d602f,0x42b23aa5,2 +np.float32,0x3f8a50f3,0x3ecc345b,2 +np.float32,0x3fa1f86d,0x3f369ce4,2 +np.float32,0x3f97ad95,0x3f19681d,2 +np.float32,0x3ffad1e0,0x3fa589e5,2 +np.float32,0x3fa70590,0x3f432311,2 +np.float32,0x7e6840cb,0x42afdd5c,2 +np.float32,0x3fd4036d,0x3f8ba0aa,2 +np.float32,0x7f7cc953,0x42b2ce84,2 +np.float32,0x7f228e1e,0x42b1ec74,2 +np.float32,0x7e37a866,0x42af652a,2 +np.float32,0x3fda22d0,0x3f9029a7,2 +np.float32,0x7f736bff,0x42b2bb31,2 +np.float32,0x3f9833b6,0x3f1b0b8e,2 +np.float32,0x7f466001,0x42b2526a,2 +np.float32,0xff7fffff,0xffc00000,2 +np.float32,0x7dd62bcd,0x42ae50f8,2 +np.float32,0x7f1d2bfe,0x42b1db36,2 +np.float32,0x7ecffe9e,0x42b107c5,2 +np.float32,0x7ebefe0a,0x42b0dc1b,2 +np.float32,0x7f45c63d,0x42b250dd,2 +np.float32,0x7f601af0,0x42b290db,2 +np.float32,0x3fcbb88a,0x3f8524e5,2 +np.float32,0x7ede55ff,0x42b129e8,2 +np.float32,0x7ea5dd5a,0x42b093e2,2 +np.float32,0x3ff53857,0x3fa22a12,2 +np.float32,0x3f8dbd6a,0x3eeb28a4,2 +np.float32,0x3fd1b467,0x3f89dd2c,2 +np.float32,0x3fe0423f,0x3f9481fc,2 +np.float32,0x3f84b421,0x3e8a6174,2 +np.float32,0x7f4efc97,0x42b2682c,2 +np.float32,0x7f601b33,0x42b290dc,2 +np.float32,0x3f94f240,0x3f108719,2 +np.float32,0x7decd251,0x42ae8471,2 +np.float32,0x3fdc457c,0x3f91b2e2,2 +np.float32,0x3f92a966,0x3f089c5a,2 +np.float32,0x3fc9732f,0x3f834afc,2 +np.float32,0x3f97948f,0x3f19194e,2 +np.float32,0x7f0824a1,0x42b191ac,2 +np.float32,0x7f0365a5,0x42b17f81,2 +np.float32,0x3f800000,0x0,2 +np.float32,0x7f0054c6,0x42b1736b,2 +np.float32,0x3fe86544,0x3f9a0484,2 +np.float32,0x7e95f844,0x42b0604e,2 +np.float32,0x3fce8602,0x3f8761e2,2 +np.float32,0x3fc726c8,0x3f81621d,2 +np.float32,0x3fcf6b03,0x3f88161b,2 +np.float32,0x3fceb843,0x3f87898a,2 +np.float32,0x3fe2f8b2,0x3f966071,2 +np.float32,0x7f3c8e7f,0x42b2386d,2 +np.float32,0x3fcee13a,0x3f87a9d2,2 +np.float32,0x3fc4df27,0x3f7ee73c,2 +np.float32,0x3ffde486,0x3fa758e3,2 +np.float32,0x3fa91be0,0x3f480b17,2 +np.float32,0x7f2a5a7d,0x42b20472,2 +np.float32,0x7e278d80,0x42af362d,2 +np.float32,0x3f96d091,0x3f16a9d5,2 +np.float32,0x7e925225,0x42b053b2,2 +np.float32,0x7f7ef83a,0x42b2d2ec,2 +np.float32,0x7eb4923a,0x42b0bf61,2 +np.float32,0x7e98bf19,0x42b069b3,2 +np.float32,0x3fac93a2,0x3f4fe410,2 +np.float32,0x7f46389c,0x42b25205,2 +np.float32,0x3f9fd447,0x3f30fd54,2 +np.float32,0x3fef42d4,0x3f9e7483,2 +np.float32,0x7f482174,0x42b256ed,2 +np.float32,0x3f97aedb,0x3f196c1e,2 +np.float32,0x7f764edd,0x42b2c13a,2 +np.float32,0x3f9117b5,0x3f02de5c,2 +np.float32,0x3fc7984e,0x3f81c12d,2 +np.float64,0x3ff1e2cb7463c597,0x3fdec6caf39e0c0e,1 +np.float64,0x3ffe4f89789c9f13,0x3ff40f4b1da0f3e9,1 +np.float64,0x7f6a5c9ac034b935,0x408605e51703c145,1 +np.float64,0x7fdcb6ece3b96dd9,0x40862d6521e16d60,1 +np.float64,0x3ff6563e182cac7c,0x3feb9d8210f3fa88,1 +np.float64,0x7fde32025f3c6404,0x40862dcc1d1a9b7f,1 +np.float64,0x7fd755ed35aeabd9,0x40862bbc5522b779,1 +np.float64,0x3ff5c81f4bcb903e,0x3fea71f10b954ea3,1 +np.float64,0x3fffe805d35fd00c,0x3ff50463a1ba2938,1 +np.float64,0x7fd045a1c1a08b43,0x408628d9f431f2f5,1 +np.float64,0x3ff49f7dd9893efc,0x3fe7c6736e17ea8e,1 +np.float64,0x7fccfbc1fd39f783,0x408627eca79acf51,1 +np.float64,0x3ff1af0a00035e14,0x3fdd1c0e7d5706ea,1 +np.float64,0x7fe7bd17162f7a2d,0x4086316af683502b,1 +np.float64,0x3ff0941b8d012837,0x3fd128d274065ac0,1 +np.float64,0x3ffa0c5d98b418bb,0x3ff11af9c8edd17f,1 +np.float64,0x3ffad9733355b2e6,0x3ff1b6d1307acb42,1 +np.float64,0x3ffabb2a33d57654,0x3ff1a0442b034e50,1 +np.float64,0x3ff36118b0c6c231,0x3fe472b7dfb23516,1 +np.float64,0x3ff2441d3664883a,0x3fe0d61145608f0c,1 +np.float64,0x7fe039862d20730b,0x40862e5f8ed752d3,1 +np.float64,0x7fb1dde24023bbc4,0x40861e824cdb0664,1 +np.float64,0x7face6335839cc66,0x40861ccf90a26e16,1 +np.float64,0x3ffb5d0e1af6ba1c,0x3ff2170f6f42fafe,1 +np.float64,0x3ff5c2c6a50b858d,0x3fea665aabf04407,1 +np.float64,0x3ffabb409db57681,0x3ff1a054ea32bfc3,1 +np.float64,0x3ff1e054e983c0aa,0x3fdeb30c17286cb6,1 +np.float64,0x7fe467f73268cfed,0x4086303529e52e9b,1 +np.float64,0x7fe0e86bf961d0d7,0x40862eb40788b04a,1 +np.float64,0x3ffb743542f6e86a,0x3ff227b4ea5acee0,1 +np.float64,0x3ff2de6826e5bcd0,0x3fe2e31fcde0a96c,1 +np.float64,0x7fd6b27ccfad64f9,0x40862b8385697c31,1 +np.float64,0x7fe0918e8d21231c,0x40862e8a82d9517a,1 +np.float64,0x7fd0ca0395a19406,0x4086291a0696ed33,1 +np.float64,0x3ffb042496960849,0x3ff1d658c928abfc,1 +np.float64,0x3ffcd0409799a081,0x3ff31877df0cb245,1 +np.float64,0x7fe429bd06685379,0x4086301c9f259934,1 +np.float64,0x3ff933076092660f,0x3ff06d2e5f4d9ab7,1 +np.float64,0x7feaefcb28f5df95,0x4086326dccf88e6f,1 +np.float64,0x7fb5f2c1f82be583,0x40862027ac02a39d,1 +np.float64,0x3ffb5d9e3bd6bb3c,0x3ff21777501d097e,1 +np.float64,0x10000000000000,0xfff8000000000000,1 +np.float64,0x3ff70361596e06c3,0x3fecf675ceda7e19,1 +np.float64,0x3ff71a21b5ee3444,0x3fed224fa048d9a9,1 +np.float64,0x3ffb102b86762057,0x3ff1df2cc9390518,1 +np.float64,0x7feaaeb35c355d66,0x4086325a60704a90,1 +np.float64,0x7fd9a3d0a93347a0,0x40862c7d300fc076,1 +np.float64,0x7fabcf159c379e2a,0x40861c80cdbbff27,1 +np.float64,0x7fd1c066ec2380cd,0x4086298c3006fee6,1 +np.float64,0x3ff3d5ae2d67ab5c,0x3fe5bc16447428db,1 +np.float64,0x3ff4b76add696ed6,0x3fe800f5bbf21376,1 +np.float64,0x3ff60d89ee0c1b14,0x3feb063fdebe1a68,1 +np.float64,0x7f1d2648003a4c8f,0x4085eaf9238af95a,1 +np.float64,0x7fe8b45f6df168be,0x408631bca5abf6d6,1 +np.float64,0x7fe9ea5308f3d4a5,0x4086321ea2bd3af9,1 +np.float64,0x7fcb6ba5a636d74a,0x4086277b208075ed,1 +np.float64,0x3ff621cfd74c43a0,0x3feb30d59baf5919,1 +np.float64,0x3ff7bc8ca0af7919,0x3fee524da8032896,1 +np.float64,0x7fda22dd0c3445b9,0x40862ca47326d063,1 +np.float64,0x7fd02ed4b2a05da8,0x408628ceb6919421,1 +np.float64,0x3ffe64309fdcc861,0x3ff41c1b18940709,1 +np.float64,0x3ffee4042abdc808,0x3ff46a6005bccb41,1 +np.float64,0x3ff078145b00f029,0x3fceeb3d6bfae0eb,1 +np.float64,0x7fda20fd20b441f9,0x40862ca3e03b990b,1 +np.float64,0x3ffa9e9e9af53d3d,0x3ff18ade3cbee789,1 +np.float64,0x3ff0a1062501420c,0x3fd1e32de6d18c0d,1 +np.float64,0x3ff3bdf118477be2,0x3fe57ad89b7fdf8b,1 +np.float64,0x3ff101c0d5c20382,0x3fd6965d3539be47,1 +np.float64,0x7feba3b53b774769,0x408632a28c7aca4d,1 +np.float64,0x3ff598db5d4b31b7,0x3fea0aa65c0b421a,1 +np.float64,0x3ff5fdfbb72bfbf8,0x3feae55accde4a5e,1 +np.float64,0x7fe5bae53aab75c9,0x408630b5e7a5b92a,1 +np.float64,0x3ff8f668afd1ecd2,0x3ff03af686666c9c,1 +np.float64,0x3ff5ba72dd2b74e6,0x3fea5441f223c093,1 +np.float64,0x3ff8498147109302,0x3fef4e45d501601d,1 +np.float64,0x7feddcfa5efbb9f4,0x4086334106a6e76b,1 +np.float64,0x7fd1a30200234603,0x4086297ee5cc562c,1 +np.float64,0x3ffffa8ee07ff51e,0x3ff50f1dc46f1303,1 +np.float64,0x7fef7ed00ebefd9f,0x408633ae01dabe52,1 +np.float64,0x3ffb6e062276dc0c,0x3ff22344c58c2016,1 +np.float64,0x7fcf2b59943e56b2,0x4086288190dd5eeb,1 +np.float64,0x3ffa589f9254b13f,0x3ff155cc081eee0b,1 +np.float64,0x3ff05415ca60a82c,0x3fc9e45565baef0a,1 +np.float64,0x7feb34bed576697d,0x408632822d5a178c,1 +np.float64,0x3ff3993845c73270,0x3fe51423baf246c3,1 +np.float64,0x3ff88367aaf106d0,0x3fefb2d9ca9f1192,1 +np.float64,0x7fef364304fe6c85,0x4086339b7ed82997,1 +np.float64,0x7fcba2c317374585,0x4086278b24e42934,1 +np.float64,0x3ff1aef885e35df1,0x3fdd1b79f55b20c0,1 +np.float64,0x7fe19367886326ce,0x40862f035f867445,1 +np.float64,0x3ff3c8295e279053,0x3fe5970aa670d32e,1 +np.float64,0x3ff6edda164ddbb4,0x3feccca9eb59d6b9,1 +np.float64,0x7fdeaea940bd5d52,0x40862dece02d151b,1 +np.float64,0x7fea9d6324353ac5,0x408632552ddf0d4f,1 +np.float64,0x7fe60e39e66c1c73,0x408630d45b1ad0c4,1 +np.float64,0x7fde06325abc0c64,0x40862dc07910038c,1 +np.float64,0x7f9ec89d303d9139,0x408617c55ea4c576,1 +np.float64,0x3ff9801930530032,0x3ff0abe5be046051,1 +np.float64,0x3ff4d5859689ab0b,0x3fe849a7f7a19fa3,1 +np.float64,0x3ff38afbc48715f8,0x3fe4ebb7710cbab9,1 +np.float64,0x3ffd88a0e77b1142,0x3ff3916964407e21,1 +np.float64,0x1,0xfff8000000000000,1 +np.float64,0x3ff5db59e58bb6b4,0x3fea9b6b5ccc116f,1 +np.float64,0x3ffd4b05b15a960c,0x3ff369792f661a90,1 +np.float64,0x7fdcebc4fb39d789,0x40862d73cd623378,1 +np.float64,0x3ff5b56f944b6adf,0x3fea4955d6b06ca3,1 +np.float64,0x7fd4e4abf2a9c957,0x40862ad9e9da3c61,1 +np.float64,0x7fe08e0d6aa11c1a,0x40862e88d17ef277,1 +np.float64,0x3ff0dfc97da1bf93,0x3fd50f9004136d8f,1 +np.float64,0x7fdec38eaebd871c,0x40862df2511e26b4,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x3ff21865504430cb,0x3fe033fe3cf3947a,1 +np.float64,0x7fdc139708b8272d,0x40862d371cfbad03,1 +np.float64,0x7fe1fe3be3a3fc77,0x40862f336e3ba63a,1 +np.float64,0x7fd9fa2493b3f448,0x40862c97f2960be9,1 +np.float64,0x3ff0a027db414050,0x3fd1d6e54a707c87,1 +np.float64,0x3ff568b16f4ad163,0x3fe99f5c6d7b6e18,1 +np.float64,0x3ffe2f82877c5f05,0x3ff3fb54bd0da753,1 +np.float64,0x7fbaf5778435eaee,0x408621ccc9e2c1be,1 +np.float64,0x7fc5aaf8362b55ef,0x40862598e7072a49,1 +np.float64,0x7fe0ebfdd4a1d7fb,0x40862eb5b7bf99d5,1 +np.float64,0x7fd8efeb5931dfd6,0x40862c444636f408,1 +np.float64,0x3ff361a308c6c346,0x3fe4744cae63e6df,1 +np.float64,0x7fef287d39be50f9,0x40863397f65c807e,1 +np.float64,0x7fe72c4a14ae5893,0x4086313992e52082,1 +np.float64,0x3ffd1be44cba37c8,0x3ff34a9a45239eb9,1 +np.float64,0x3ff50369c18a06d4,0x3fe8b69319f091f1,1 +np.float64,0x3ffb333c25766678,0x3ff1f8c78eeb28f1,1 +np.float64,0x7fe12050416240a0,0x40862ece4e2f2f24,1 +np.float64,0x7fe348f5526691ea,0x40862fc16fbe7b6c,1 +np.float64,0x3ff343cc4d068799,0x3fe41c2a30cab7d2,1 +np.float64,0x7fd1b0daaa2361b4,0x408629852b3104ff,1 +np.float64,0x3ff6a41f37ad483e,0x3fec3b36ee6c6d4a,1 +np.float64,0x3ffad9439435b287,0x3ff1b6add9a1b3d7,1 +np.float64,0x7fbeb9a2f23d7345,0x408622d89ac1eaba,1 +np.float64,0x3ffab3d39fb567a7,0x3ff19ac75b4427f3,1 +np.float64,0x3ff890003ed12000,0x3fefc8844471c6ad,1 +np.float64,0x3ffc9f595e593eb2,0x3ff2f7a8699f06d8,1 +np.float64,0x7fe2224ef6e4449d,0x40862f43684a154a,1 +np.float64,0x3ffa67ba08d4cf74,0x3ff161525778df99,1 +np.float64,0x7fe87e24b570fc48,0x408631ab02b159fb,1 +np.float64,0x7fd6e99be92dd337,0x40862b96dba73685,1 +np.float64,0x7fe90f39fdf21e73,0x408631d9dbd36c1e,1 +np.float64,0x3ffb7806abd6f00e,0x3ff22a719b0f4c46,1 +np.float64,0x3ffa511ba3d4a238,0x3ff1500c124f6e17,1 +np.float64,0x3ff5d7a569abaf4b,0x3fea937391c280e8,1 +np.float64,0x7fc4279d20284f39,0x40862504a5cdcb96,1 +np.float64,0x3ffe8791b1fd0f24,0x3ff431f1ed7eaba0,1 +np.float64,0x7fe3b2f5276765e9,0x40862fecf15e2535,1 +np.float64,0x7feeab0e7abd561c,0x408633778044cfbc,1 +np.float64,0x7fdba88531375109,0x40862d1860306d7a,1 +np.float64,0x7fe7b19b3def6335,0x4086316716d6890b,1 +np.float64,0x3ff9e9437413d287,0x3ff0ff89431c748c,1 +np.float64,0x3ff960716a52c0e3,0x3ff092498028f802,1 +np.float64,0x3ff271bf56a4e37f,0x3fe1786fc8dd775d,1 +np.float64,0x3fff2a6578be54cb,0x3ff494bbe303eeb5,1 +np.float64,0x3ffd842eb5fb085e,0x3ff38e8b7ba42bc5,1 +np.float64,0x3ff91600e5d22c02,0x3ff0553c6a6b3d93,1 +np.float64,0x3ff9153f45f22a7e,0x3ff0549c0eaecf95,1 +np.float64,0x7fe0ab319da15662,0x40862e96da3b19f9,1 +np.float64,0x3ff06acd1f60d59a,0x3fcd2aca543d2772,1 +np.float64,0x3ffb3e7a54d67cf4,0x3ff200f288cd391b,1 +np.float64,0x3ffd01356f1a026b,0x3ff339003462a56c,1 +np.float64,0x3ffacd35def59a6c,0x3ff1adb8d32b3ec0,1 +np.float64,0x3ff6f953264df2a6,0x3fece2f992948d6e,1 +np.float64,0x3ff0fa91f5a1f524,0x3fd64609a28f1590,1 +np.float64,0x7fd1b7610ca36ec1,0x408629881e03dc7d,1 +np.float64,0x3ff4317fb7c86300,0x3fe6b086ed265887,1 +np.float64,0x3ff3856198070ac3,0x3fe4dbb6bc88b9e3,1 +np.float64,0x7fed7fc4573aff88,0x40863327e7013a81,1 +np.float64,0x3ffe53cbbf5ca798,0x3ff411f07a29b1f4,1 +np.float64,0x3ff092195b012433,0x3fd10b1c0b4b14fe,1 +np.float64,0x3ff1a3171163462e,0x3fdcb5c301d5d40d,1 +np.float64,0x3ffa1401f1742804,0x3ff120eb319e9faa,1 +np.float64,0x7fd352f6f426a5ed,0x40862a3a048feb6d,1 +np.float64,0x7fd4ee246fa9dc48,0x40862add895d808f,1 +np.float64,0x3ff0675cfa00ceba,0x3fccb2222c5493ca,1 +np.float64,0x3ffe5cb38f3cb967,0x3ff417773483d161,1 +np.float64,0x7fe11469ea2228d3,0x40862ec8bd3e497f,1 +np.float64,0x3fff13cba67e2798,0x3ff4872fe2c26104,1 +np.float64,0x3ffb73d3d316e7a8,0x3ff2276f08612ea2,1 +np.float64,0x7febfb70f237f6e1,0x408632bbc9450721,1 +np.float64,0x3ff84a0d87b0941b,0x3fef4f3b707e3145,1 +np.float64,0x7fd71fd5082e3fa9,0x40862ba9b4091172,1 +np.float64,0x3ff560737d8ac0e7,0x3fe98cc9c9ba2f61,1 +np.float64,0x3ff46a266ae8d44d,0x3fe74190e5234822,1 +np.float64,0x7fe8cc9225719923,0x408631c477db9708,1 +np.float64,0x3ff871de5930e3bc,0x3fef948f7d00fbef,1 +np.float64,0x3ffd0bc7895a178f,0x3ff33ffc18357721,1 +np.float64,0x3ff66099f9ccc134,0x3febb2bc775b4720,1 +np.float64,0x7fe91f1be9723e37,0x408631deec3a5c9e,1 +np.float64,0x7fd60462f12c08c5,0x40862b4537e1c1c6,1 +np.float64,0x3ff053100ba0a620,0x3fc9bc0c21e2284f,1 +np.float64,0x7fd864c611b0c98b,0x40862c1724506255,1 +np.float64,0x7fd191decb2323bd,0x408629771bfb68cc,1 +np.float64,0x3ff792a1656f2543,0x3fee054f2e135fcf,1 +np.float64,0x7fd03625cea06c4b,0x408628d253b840e3,1 +np.float64,0x7fc3967716272ced,0x408624ca35451042,1 +np.float64,0x7fe6636cb32cc6d8,0x408630f3073a22a7,1 +np.float64,0x3ffc2d3976585a73,0x3ff2a9d4c0dae607,1 +np.float64,0x3fffd10ee79fa21e,0x3ff4f70db69888be,1 +np.float64,0x3ff1d4fcae23a9f9,0x3fde57675007b23c,1 +np.float64,0x3ffa5da19e14bb43,0x3ff1599f74d1c113,1 +np.float64,0x3ff7f4eb0d6fe9d6,0x3feeb85189659e99,1 +np.float64,0x7fbcca44d8399489,0x408622536234f7c1,1 +np.float64,0x7fef5f97ec3ebf2f,0x408633a60fdde0d7,1 +np.float64,0x7fde4a66da3c94cd,0x40862dd290ebc184,1 +np.float64,0x3ff072957a40e52b,0x3fce34d913d87613,1 +np.float64,0x3ff2bc4c9dc57899,0x3fe27497e6ebe27d,1 +np.float64,0x7fd7d152b4afa2a4,0x40862be63469eecd,1 +np.float64,0x3ff957d768f2afaf,0x3ff08b4ad8062a73,1 +np.float64,0x7fe4bc5f45a978be,0x40863055fd66e4eb,1 +np.float64,0x7fc90de345321bc6,0x408626c24ce7e370,1 +np.float64,0x3ff2d7a37d85af47,0x3fe2cd6a40b544a0,1 +np.float64,0x7fe536ea1f6a6dd3,0x40863084bade76a3,1 +np.float64,0x3fff970c9cdf2e19,0x3ff4d524572356dd,1 +np.float64,0x3ffe173ae63c2e76,0x3ff3ec1ee35ad28c,1 +np.float64,0x3ff714025cce2805,0x3fed168aedff4a2b,1 +np.float64,0x7fce7b414c3cf682,0x40862853dcdd19d4,1 +np.float64,0x3ff019623f2032c4,0x3fbc7c602df0bbaf,1 +np.float64,0x3ff72f57fd0e5eb0,0x3fed4ae75f697432,1 +np.float64,0x3ff283778e8506ef,0x3fe1b5c5725b0dfd,1 +np.float64,0x3ff685a29aed0b45,0x3febfdfdedd581e2,1 +np.float64,0x3ff942d24fb285a4,0x3ff07a224c3ecfaf,1 +np.float64,0x3ff2e4a9f465c954,0x3fe2f71905399e8f,1 +np.float64,0x7fdfa1c7fa3f438f,0x40862e2b4e06f098,1 +np.float64,0x3ff49b59c26936b4,0x3fe7bc41c8c1e59d,1 +np.float64,0x3ff2102d3704205a,0x3fe014bf7e28924e,1 +np.float64,0x3ff88de3b8311bc8,0x3fefc4e3e0a15a89,1 +np.float64,0x7fea5ba25374b744,0x40863241519c9b66,1 +np.float64,0x3fffe5df637fcbbf,0x3ff5032488f570f9,1 +np.float64,0x7fe67cfefe6cf9fd,0x408630fc25333cb4,1 +np.float64,0x3ff090bf2b01217e,0x3fd0f6fcf1092b4a,1 +np.float64,0x7fecd75bc5f9aeb7,0x408632f9b6c2e013,1 +np.float64,0x7fe15df38c62bbe6,0x40862eeae5ac944b,1 +np.float64,0x3ff4757875a8eaf1,0x3fe75e0eafbe28ce,1 +np.float64,0x7fecca8a51b99514,0x408632f627c23923,1 +np.float64,0x3ff91ca529d2394a,0x3ff05abb327fd1ca,1 +np.float64,0x3ffb962993b72c53,0x3ff23ff831717579,1 +np.float64,0x3ffd548a2c7aa914,0x3ff36fac7f56d716,1 +np.float64,0x7fbafb5cb035f6b8,0x408621ce898a02fb,1 +np.float64,0x3ff1d86daca3b0db,0x3fde73536c29218c,1 +np.float64,0x7fa8d0f8f431a1f1,0x40861b97a03c3a18,1 +np.float64,0x3ff44f1067489e21,0x3fe6fcbd8144ab2a,1 +np.float64,0x7fec062b07380c55,0x408632bed9c6ce85,1 +np.float64,0x3ff7e11e0fcfc23c,0x3fee94ada7efaac4,1 +np.float64,0x7fe77505c1aeea0b,0x4086315287dda0ba,1 +np.float64,0x7fc465af2728cb5d,0x4086251d236107f7,1 +np.float64,0x3ffe811c4a7d0238,0x3ff42df7e8b6cf2d,1 +np.float64,0x7fe05a471260b48d,0x40862e6fa502738b,1 +np.float64,0x7fec32cd9778659a,0x408632cb8d98c5a3,1 +np.float64,0x7fd203a220a40743,0x408629aa43b010c0,1 +np.float64,0x7fed71f7d17ae3ef,0x4086332428207101,1 +np.float64,0x3ff3918999e72313,0x3fe4fe5e8991402f,1 +np.float64,0x3ff3ecae38c7d95c,0x3fe5fa787d887981,1 +np.float64,0x7fd65345b82ca68a,0x40862b61aed8c64e,1 +np.float64,0x3ff1efdd01c3dfba,0x3fdf2eae36139204,1 +np.float64,0x3ffba9344f375268,0x3ff24d7fdcfc313b,1 +np.float64,0x7fd0469b35208d35,0x408628da6ed24bdd,1 +np.float64,0x7fe525782daa4aef,0x4086307e240c8b30,1 +np.float64,0x3ff8e473d371c8e8,0x3ff02beebd4171c7,1 +np.float64,0x3ff59a43898b3487,0x3fea0dc0a6acea0a,1 +np.float64,0x7fef50c7263ea18d,0x408633a247d7cd42,1 +np.float64,0x7fe8b5a301f16b45,0x408631bd0e71c855,1 +np.float64,0x3ff209369de4126d,0x3fdff4264334446b,1 +np.float64,0x3ffbe2ff4437c5fe,0x3ff2763b356814c7,1 +np.float64,0x3ff55938156ab270,0x3fe97c70514f91bf,1 +np.float64,0x3fff5d8bf81ebb18,0x3ff4b333b230672a,1 +np.float64,0x3ff16a317bc2d463,0x3fdab84e7faa468f,1 +np.float64,0x3ff7e64f8dafcc9f,0x3fee9e0bd57e9566,1 +np.float64,0x7fef4dc065be9b80,0x408633a181e25abb,1 +np.float64,0x3ff64a24a62c9449,0x3feb849ced76437e,1 +np.float64,0x7fc3cb85ef27970b,0x408624dfc39c8f74,1 +np.float64,0x7fec2162a77842c4,0x408632c69b0d43b6,1 +np.float64,0x7feccee6dc399dcd,0x408632f75de98c46,1 +np.float64,0x7faff4f5f43fe9eb,0x40861d9d89be14c9,1 +np.float64,0x7fee82df60fd05be,0x4086336cfdeb7317,1 +np.float64,0x3ffe54588d9ca8b1,0x3ff41247eb2f75ca,1 +np.float64,0x3ffe5615b55cac2c,0x3ff4135c4eb11620,1 +np.float64,0x3ffdaf9a6a1b5f35,0x3ff3aa70e50d1692,1 +np.float64,0x3ff69c045f4d3809,0x3fec2b00734e2cde,1 +np.float64,0x7fd049239aa09246,0x408628dbad6dd995,1 +np.float64,0x3ff2acbe8465597d,0x3fe24138652195e1,1 +np.float64,0x3ffb288302365106,0x3ff1f0f86ca7e5d1,1 +np.float64,0x3fff6fe8d87edfd2,0x3ff4be136acf53c5,1 +np.float64,0x3ffc87c8bfb90f92,0x3ff2e7bbd65867cb,1 +np.float64,0x3ff173327ca2e665,0x3fdb0b945abb00d7,1 +np.float64,0x3ff9a5cf7a134b9f,0x3ff0ca2450f07c78,1 +np.float64,0x7faf782b043ef055,0x40861d7e0e9b35ef,1 +np.float64,0x3ffa0874975410e9,0x3ff117ee3dc8f5ba,1 +np.float64,0x7fc710fc7f2e21f8,0x40862618fed167fb,1 +np.float64,0x7feb73f4c876e7e9,0x40863294ae3ac1eb,1 +np.float64,0x8000000000000000,0xfff8000000000000,1 +np.float64,0x7fb46615c028cc2b,0x40861f91bade4dad,1 +np.float64,0x7fc26b064624d60c,0x4086244c1b76c938,1 +np.float64,0x3ff06ab9fa40d574,0x3fcd282fd971d1b4,1 +np.float64,0x3ff61da7410c3b4e,0x3feb28201031af02,1 +np.float64,0x3ffec7ba1b9d8f74,0x3ff459342511f952,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0x7fe5d570422baae0,0x408630bfa75008c9,1 +np.float64,0x3ffa895832f512b0,0x3ff17ad41555dccb,1 +np.float64,0x7fd343ac21a68757,0x40862a33ad59947a,1 +np.float64,0x3ffc1eeb37383dd6,0x3ff29ff29e55a006,1 +np.float64,0x7fee3c5c507c78b8,0x4086335a6b768090,1 +np.float64,0x7fe96d774a32daee,0x408631f7b9937e36,1 +np.float64,0x7fb878362430f06b,0x40862106603497b6,1 +np.float64,0x7fec0a79c03814f3,0x408632c01479905e,1 +np.float64,0x3ffa2f143c145e28,0x3ff135e25d902e1a,1 +np.float64,0x3ff14ccff80299a0,0x3fd9a0cd3397b14c,1 +np.float64,0x3ff97980dcb2f302,0x3ff0a6942a8133ab,1 +np.float64,0x3ff872e2d1f0e5c6,0x3fef96526eb2f756,1 +np.float64,0x7fdf1c9b46be3936,0x40862e0957fee329,1 +np.float64,0x7fcab6525d356ca4,0x408627458791f029,1 +np.float64,0x3ff964e74a52c9ce,0x3ff095e8845d523c,1 +np.float64,0x3ffb3aa23c967544,0x3ff1fe282d897c13,1 +np.float64,0x7fdd8a36afbb146c,0x40862d9f2b05f61b,1 +np.float64,0x3ffea39f42fd473e,0x3ff4432a48176399,1 +np.float64,0x7fea614f68b4c29e,0x408632430a750385,1 +np.float64,0x7feeafb86abd5f70,0x40863378b79f70cf,1 +np.float64,0x3ff80bc94eb01792,0x3feee138e9d626bd,1 +np.float64,0x7fcaca74743594e8,0x4086274b8ce4d1e1,1 +np.float64,0x3ff8b14815316290,0x3ff000b3526c8321,1 +np.float64,0x7fc698eb5f2d31d6,0x408625eeec86cd2b,1 +np.float64,0x7fe15429a3e2a852,0x40862ee6621205b8,1 +np.float64,0x7fee37f81b7c6fef,0x4086335941ed80dd,1 +np.float64,0x3ff8097ab3f012f6,0x3feedd1bafc3196e,1 +np.float64,0x7fe7c889ceaf9113,0x4086316ed13f2394,1 +np.float64,0x7fceca94513d9528,0x4086286893a06824,1 +np.float64,0x3ff593a103cb2742,0x3fe9ff1af4f63cc9,1 +np.float64,0x7fee237d24bc46f9,0x40863353d4142c87,1 +np.float64,0x3ffbf71e4777ee3c,0x3ff2844c0ed9f4d9,1 +np.float64,0x3ff490c65c09218d,0x3fe7a2216d9f69fd,1 +np.float64,0x3fff5ceaf1feb9d6,0x3ff4b2d430a90110,1 +np.float64,0x3ff55baecceab75e,0x3fe98203980666c4,1 +np.float64,0x3ff511bc306a2378,0x3fe8d81ce7be7b50,1 +np.float64,0x3ff38f83dcc71f08,0x3fe4f89f130d5f87,1 +np.float64,0x3ff73a3676ee746d,0x3fed5f98a65107ee,1 +np.float64,0x7fc27e50c824fca1,0x408624547828bc49,1 +np.float64,0xfff0000000000000,0xfff8000000000000,1 +np.float64,0x3fff38959ebe712b,0x3ff49d362c7ba16a,1 +np.float64,0x3ffad6d23a75ada4,0x3ff1b4dda6394ed0,1 +np.float64,0x3ffe77c6c2dcef8e,0x3ff4283698835ecb,1 +np.float64,0x3fff5feb413ebfd6,0x3ff4b49bcbdb3aa9,1 +np.float64,0x3ff0d30aa161a615,0x3fd4751bcdd7d727,1 +np.float64,0x3ff51e07e00a3c10,0x3fe8f4bd1408d694,1 +np.float64,0x8010000000000000,0xfff8000000000000,1 +np.float64,0x7fd231d2fe2463a5,0x408629beaceafcba,1 +np.float64,0x3fff6b4aee1ed696,0x3ff4bb58544bf8eb,1 +np.float64,0x3ff91fcd2f323f9a,0x3ff05d56e33db6b3,1 +np.float64,0x3ff3b889ab477113,0x3fe56bdeab74cce5,1 +np.float64,0x3ff99bfe30d337fc,0x3ff0c24bbf265561,1 +np.float64,0x3ffbe9e5eaf7d3cc,0x3ff27b0fe60f827a,1 +np.float64,0x7fd65678e92cacf1,0x40862b62d44fe8b6,1 +np.float64,0x7fd9cc477233988e,0x40862c89c638ee48,1 +np.float64,0x3ffc123c72d82479,0x3ff297294d05cbc0,1 +np.float64,0x3ff58abad58b1576,0x3fe9eb65da2a867a,1 +np.float64,0x7fe534887b2a6910,0x40863083d4ec2877,1 +np.float64,0x7fe1d3dcb123a7b8,0x40862f208116c55e,1 +np.float64,0x7fd4d570dba9aae1,0x40862ad412c413cd,1 +np.float64,0x3fffce7d3fdf9cfa,0x3ff4f58f02451928,1 +np.float64,0x3ffa76901c74ed20,0x3ff16c9a5851539c,1 +np.float64,0x7fdd88ffa23b11fe,0x40862d9ed6c6f426,1 +np.float64,0x3ff09fdbb9e13fb7,0x3fd1d2ae4fcbf713,1 +np.float64,0x7fe64567772c8ace,0x408630e845dbc290,1 +np.float64,0x7fb1a849ba235092,0x40861e6a291535b2,1 +np.float64,0x3ffaddb105f5bb62,0x3ff1b9f68f4c419b,1 +np.float64,0x7fd2fc3d5025f87a,0x40862a15cbc1df75,1 +np.float64,0x7fdea7d872bd4fb0,0x40862deb190b2c50,1 +np.float64,0x7fd50ea97eaa1d52,0x40862ae9edc4c812,1 +np.float64,0x3fff659c245ecb38,0x3ff4b7fb18b31aea,1 +np.float64,0x3ff3f1fbb7c7e3f7,0x3fe608bd9d76268c,1 +np.float64,0x3ff76869d9aed0d4,0x3fedb6c23d3a317b,1 +np.float64,0x7fedd4efe93ba9df,0x4086333edeecaa43,1 +np.float64,0x3ff9a5bd4eb34b7a,0x3ff0ca15d02bc960,1 +np.float64,0x3ffd9359cc5b26b4,0x3ff39850cb1a6b6c,1 +np.float64,0x7fe912d0427225a0,0x408631db00e46272,1 +np.float64,0x3ffb3802fe567006,0x3ff1fc4093646465,1 +np.float64,0x3ff02cc38a205987,0x3fc2e8182802a07b,1 +np.float64,0x3ffda953dd1b52a8,0x3ff3a66c504cf207,1 +np.float64,0x7fe0a487e4a1490f,0x40862e93a6f20152,1 +np.float64,0x7fed265ed1fa4cbd,0x4086330f838ae431,1 +np.float64,0x7fd0000114200001,0x408628b76ec48b5c,1 +np.float64,0x3ff2c262786584c5,0x3fe288860d354b0f,1 +np.float64,0x8000000000000001,0xfff8000000000000,1 +np.float64,0x3ffdae9f075b5d3e,0x3ff3a9d006ae55c1,1 +np.float64,0x3ffb69c72156d38e,0x3ff22037cbb85e5b,1 +np.float64,0x7feeae255f7d5c4a,0x408633784e89bc05,1 +np.float64,0x7feb13927c362724,0x408632786630c55d,1 +np.float64,0x7fef49e072be93c0,0x408633a08451d476,1 +np.float64,0x3fff23d6337e47ac,0x3ff490ceb6e634ae,1 +np.float64,0x3ffba82cf8f7505a,0x3ff24cc51c73234d,1 +np.float64,0x7fe948719ef290e2,0x408631ec0b36476e,1 +np.float64,0x3ff41926c5e8324e,0x3fe670e14bbda8cd,1 +np.float64,0x3ff91f09c1523e14,0x3ff05cb5731878da,1 +np.float64,0x3ff6ae6afccd5cd6,0x3fec4fbeca764086,1 +np.float64,0x3ff927f7e0f24ff0,0x3ff06413eeb8eb1e,1 +np.float64,0x3ff19dd2b9e33ba5,0x3fdc882f97994600,1 +np.float64,0x7fe8e502c5b1ca05,0x408631cc56526fff,1 +np.float64,0x7feb49f70fb693ed,0x4086328868486fcd,1 +np.float64,0x3ffd942d535b285a,0x3ff398d8d89f52ca,1 +np.float64,0x7fc3b9c5c627738b,0x408624d893e692ca,1 +np.float64,0x7fea0780ff340f01,0x408632279fa46704,1 +np.float64,0x7fe4c90066a99200,0x4086305adb47a598,1 +np.float64,0x7fdb209113364121,0x40862cf0ab64fd7d,1 +np.float64,0x3ff38617e5470c30,0x3fe4ddc0413b524f,1 +np.float64,0x7fea1b5b803436b6,0x4086322db767f091,1 +np.float64,0x7fe2004898e40090,0x40862f3457795dc5,1 +np.float64,0x3ff3c4360ac7886c,0x3fe58c29843a4c75,1 +np.float64,0x3ff504bc168a0978,0x3fe8b9ada7f698e6,1 +np.float64,0x3ffd3e936fda7d27,0x3ff3615912c5b4ac,1 +np.float64,0x3ffbdc52fb97b8a6,0x3ff2718dae5f1f2b,1 +np.float64,0x3fffef6d84ffdedb,0x3ff508adbc8556cf,1 +np.float64,0x3ff23b65272476ca,0x3fe0b646ed2579eb,1 +np.float64,0x7fe4633068a8c660,0x408630334a4b7ff7,1 +np.float64,0x3ff769b754aed36f,0x3fedb932af0223f9,1 +np.float64,0x7fe7482d92ee905a,0x408631432de1b057,1 +np.float64,0x3ff5dd682aabbad0,0x3fea9fd5e506a86d,1 +np.float64,0x7fd68399a2ad0732,0x40862b72ed89805d,1 +np.float64,0x3ffad7acc3d5af5a,0x3ff1b57fe632c948,1 +np.float64,0x3ffc68e43698d1c8,0x3ff2d2be6f758761,1 +np.float64,0x3ff4e517fbc9ca30,0x3fe86eddf5e63a58,1 +np.float64,0x3ff34c63c56698c8,0x3fe435b74ccd6a13,1 +np.float64,0x7fea9456c17528ad,0x4086325275237015,1 +np.float64,0x7fee6573f2fccae7,0x4086336543760346,1 +np.float64,0x7fd5496fb9aa92de,0x40862b0023235667,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0x3ffb70e31256e1c6,0x3ff22552f54b13e0,1 +np.float64,0x3ff66a33988cd467,0x3febc656da46a1ca,1 +np.float64,0x3fff0af2eb1e15e6,0x3ff481dec325f5c8,1 +np.float64,0x3ff6a0233d0d4046,0x3fec33400958eda1,1 +np.float64,0x7fdb11e2d5b623c5,0x40862cec55e405f9,1 +np.float64,0x3ffb8a015ad71402,0x3ff2374d7b563a72,1 +np.float64,0x3ff1807d8ce300fb,0x3fdb849e4bce8335,1 +np.float64,0x3ffefd535e3dfaa6,0x3ff479aaac6ffe79,1 +np.float64,0x3ff701e23a6e03c4,0x3fecf39072d96fc7,1 +np.float64,0x3ff4ac809f895901,0x3fe7e6598f2335a5,1 +np.float64,0x3ff0309f26a0613e,0x3fc3b3f4b2783690,1 +np.float64,0x3ff241dd0ce483ba,0x3fe0cde2cb639144,1 +np.float64,0x3ffabce63fb579cc,0x3ff1a18fe2a2da59,1 +np.float64,0x3ffd84b967db0973,0x3ff38ee4f240645d,1 +np.float64,0x7fc3f88b9a27f116,0x408624f1e10cdf3f,1 +np.float64,0x7fe1d5fd5923abfa,0x40862f2175714a3a,1 +np.float64,0x7fe487b145690f62,0x4086304190700183,1 +np.float64,0x7fe7997feaef32ff,0x4086315eeefdddd2,1 +np.float64,0x3ff8f853b671f0a8,0x3ff03c907353a8da,1 +np.float64,0x7fca4c23b5349846,0x408627257ace5778,1 +np.float64,0x7fe0c9bf3a21937d,0x40862ea576c3ea43,1 +np.float64,0x7fc442b389288566,0x4086250f5f126ec9,1 +np.float64,0x7fc6d382ed2da705,0x40862603900431b0,1 +np.float64,0x7fe40b069068160c,0x4086301066468124,1 +np.float64,0x3ff7f62a146fec54,0x3feeba8dfc4363fe,1 +np.float64,0x3ff721e8e94e43d2,0x3fed313a6755d34f,1 +np.float64,0x7fe579feaf2af3fc,0x4086309ddefb6112,1 +np.float64,0x3ffe2c6bde5c58d8,0x3ff3f9665dc9a16e,1 +np.float64,0x7fcf9998ed3f3331,0x4086289dab274788,1 +np.float64,0x7fdb03af2236075d,0x40862ce82252e490,1 +np.float64,0x7fe72799392e4f31,0x40863137f428ee71,1 +np.float64,0x7f9f2190603e4320,0x408617dc5b3b3c3c,1 +np.float64,0x3ff69c56d52d38ae,0x3fec2ba59fe938b2,1 +np.float64,0x7fdcde27bf39bc4e,0x40862d70086cd06d,1 +np.float64,0x3ff654d6b8eca9ae,0x3feb9aa0107609a6,1 +np.float64,0x7fdf69d967bed3b2,0x40862e1d1c2b94c2,1 +np.float64,0xffefffffffffffff,0xfff8000000000000,1 +np.float64,0x7fedfd073f3bfa0d,0x40863349980c2c8b,1 +np.float64,0x7f7c1856803830ac,0x40860bf312b458c7,1 +np.float64,0x7fe9553f1bb2aa7d,0x408631f0173eadd5,1 +np.float64,0x3ff6e92efc2dd25e,0x3fecc38f98e7e1a7,1 +np.float64,0x7fe9719ac532e335,0x408631f906cd79c3,1 +np.float64,0x3ff60e56ae4c1cad,0x3feb07ef8637ec7e,1 +np.float64,0x3ff0d0803501a100,0x3fd455c0af195a9c,1 +np.float64,0x7fe75248a3eea490,0x40863146a614aec1,1 +np.float64,0x7fdff61ead3fec3c,0x40862e408643d7aa,1 +np.float64,0x7fed4ac7a4fa958e,0x408633197b5cf6ea,1 +np.float64,0x7fe58d44562b1a88,0x408630a5098d1bbc,1 +np.float64,0x7fd89dcdb1b13b9a,0x40862c29c2979288,1 +np.float64,0x3ff205deda240bbe,0x3fdfda67c84fd3a8,1 +np.float64,0x7fdf84c15abf0982,0x40862e23f361923d,1 +np.float64,0x3ffe012b3afc0256,0x3ff3de3dfa5f47ce,1 +np.float64,0x3ffe2f3512dc5e6a,0x3ff3fb245206398e,1 +np.float64,0x7fed6174c2bac2e9,0x4086331faa699617,1 +np.float64,0x3ff1f30f8783e61f,0x3fdf47e06f2c40d1,1 +np.float64,0x3ff590da9eab21b5,0x3fe9f8f7b4baf3c2,1 +np.float64,0x3ffb3ca1eb967944,0x3ff1ff9baf66d704,1 +np.float64,0x7fe50ba9a5aa1752,0x408630745ab7fd3c,1 +np.float64,0x3ff43743a4a86e87,0x3fe6bf7ae80b1dda,1 +np.float64,0x3ff47e1a24e8fc34,0x3fe773acca44c7d6,1 +np.float64,0x3ff589ede9eb13dc,0x3fe9e99f28fab3a4,1 +np.float64,0x3ff72f2cbf8e5e5a,0x3fed4a94e7edbf24,1 +np.float64,0x3ffa4f9bbc549f38,0x3ff14ee60aea45d3,1 +np.float64,0x3ff975dae732ebb6,0x3ff0a3a1fbd7284a,1 +np.float64,0x7fbcf14ee039e29d,0x4086225e33f3793e,1 +np.float64,0x3ff10e027f621c05,0x3fd71cce2452b4e0,1 +np.float64,0x3ff33ea193067d43,0x3fe40cbac4daaddc,1 +np.float64,0x7fbef8f2263df1e3,0x408622e905c8e1b4,1 +np.float64,0x3fff7f5bfe3efeb8,0x3ff4c732e83df253,1 +np.float64,0x3ff5700a6b4ae015,0x3fe9afdd7b8b82b0,1 +np.float64,0x3ffd5099da5aa134,0x3ff36d1bf26e55bf,1 +np.float64,0x3ffed8e0f89db1c2,0x3ff4639ff065107a,1 +np.float64,0x3fff9d0c463f3a18,0x3ff4d8a9f297cf52,1 +np.float64,0x3ff23db5b2e47b6b,0x3fe0bebdd48f961a,1 +np.float64,0x3ff042bff1e08580,0x3fc713bf24cc60ef,1 +np.float64,0x7feb4fe97a769fd2,0x4086328a26675646,1 +np.float64,0x3ffeafbfeedd5f80,0x3ff44a955a553b1c,1 +np.float64,0x3ff83fb524507f6a,0x3fef3d1729ae0976,1 +np.float64,0x3ff1992294433245,0x3fdc5f5ce53dd197,1 +np.float64,0x7fe89fe629b13fcb,0x408631b601a83867,1 +np.float64,0x7fe53e4d74aa7c9a,0x40863087839b52f1,1 +np.float64,0x3ff113713e6226e2,0x3fd757631ca7cd09,1 +np.float64,0x7fd4a0b7a629416e,0x40862abfba27a09b,1 +np.float64,0x3ff184c6e2a3098e,0x3fdbab2e3966ae57,1 +np.float64,0x3ffafbbf77f5f77f,0x3ff1d02bb331d9f9,1 +np.float64,0x3ffc6099a358c134,0x3ff2cd16941613d1,1 +np.float64,0x3ffb7c441ef6f888,0x3ff22d7b12e31432,1 +np.float64,0x3ff625ba5eec4b75,0x3feb39060e55fb79,1 +np.float64,0x7fde879acbbd0f35,0x40862de2aab4d72d,1 +np.float64,0x7f930aed982615da,0x408613edb6df8528,1 +np.float64,0x7fa4b82dac29705a,0x40861a261c0a9aae,1 +np.float64,0x7fced5c16b3dab82,0x4086286b7a73e611,1 +np.float64,0x7fe133749d2266e8,0x40862ed73a41b112,1 +np.float64,0x3ff2d8146ea5b029,0x3fe2ced55dbf997d,1 +np.float64,0x3ff60dac77ac1b59,0x3feb0688b0e54c7b,1 +np.float64,0x3ff275d9b024ebb3,0x3fe186b87258b834,1 +np.float64,0x3ff533e6500a67cd,0x3fe92746c8b50ddd,1 +np.float64,0x7fe370896666e112,0x40862fd1ca144736,1 +np.float64,0x7fee7695357ced29,0x40863369c459420e,1 +np.float64,0x7fd1e0528023c0a4,0x4086299a85caffd0,1 +np.float64,0x7fd05c7b24a0b8f5,0x408628e52824386f,1 +np.float64,0x3ff11dcc3b023b98,0x3fd7c56c8cef1be1,1 +np.float64,0x7fc9d9fae933b3f5,0x408627027404bc5f,1 +np.float64,0x7fe2359981246b32,0x40862f4be675e90d,1 +np.float64,0x3ffb10a949962152,0x3ff1df88f83b8cde,1 +np.float64,0x3ffa65b53654cb6a,0x3ff15fc8956ccc87,1 +np.float64,0x3ff0000000000000,0x0,1 +np.float64,0x7fad97ef703b2fde,0x40861d002f3d02da,1 +np.float64,0x3ff57aaf93aaf55f,0x3fe9c7b01f194edb,1 +np.float64,0x7fe9ecd73f33d9ad,0x4086321f69917205,1 +np.float64,0x3ff0dcb79c61b96f,0x3fd4eac86a7a9c38,1 +np.float64,0x7fee9c12ffbd3825,0x4086337396cd706d,1 +np.float64,0x3ff52c40af4a5881,0x3fe915a8a7de8f00,1 +np.float64,0x3ffbcfff59779ffe,0x3ff268e523fe8dda,1 +np.float64,0x7fe014cb4b602996,0x40862e4d5de42a03,1 +np.float64,0x7fae2370e83c46e1,0x40861d258dd5b3ee,1 +np.float64,0x7fe9e33602f3c66b,0x4086321c704ac2bb,1 +np.float64,0x3ff648acd74c915a,0x3feb8195ca53bcaa,1 +np.float64,0x7fe385f507670be9,0x40862fda95ebaf44,1 +np.float64,0x3ffb0e382c361c70,0x3ff1ddbea963e0a7,1 +np.float64,0x3ff47d6b6ae8fad7,0x3fe771f80ad37cd2,1 +np.float64,0x3ffca7d538f94faa,0x3ff2fd5f62e851ac,1 +np.float64,0x3ff83e949c107d29,0x3fef3b1c5bbac99b,1 +np.float64,0x7fc6fb933a2df725,0x408626118e51a286,1 +np.float64,0x7fe43a1454e87428,0x4086302318512d9b,1 +np.float64,0x7fe51fe32aaa3fc5,0x4086307c07271348,1 +np.float64,0x3ff35e563966bcac,0x3fe46aa2856ef85f,1 +np.float64,0x3ff84dd4e4909baa,0x3fef55d86d1d5c2e,1 +np.float64,0x7febe3d84077c7b0,0x408632b507686f03,1 +np.float64,0x3ff6aca2e32d5946,0x3fec4c32a2368ee3,1 +np.float64,0x7fe7070e3e6e0e1b,0x4086312caddb0454,1 +np.float64,0x7fd3657f2aa6cafd,0x40862a41acf47e70,1 +np.float64,0x3ff61534456c2a68,0x3feb1663900af13b,1 +np.float64,0x3ff8bc556eb178ab,0x3ff00a16b5403f88,1 +np.float64,0x3ffa7782e3f4ef06,0x3ff16d529c94a438,1 +np.float64,0x7fc15785ed22af0b,0x408623d0cd94fb86,1 +np.float64,0x3ff2e3eeb6e5c7dd,0x3fe2f4c4876d3edf,1 +np.float64,0x3ff2e4e17e85c9c3,0x3fe2f7c9e437b22e,1 +np.float64,0x7feb3aaf67f6755e,0x40863283ec4a0d76,1 +np.float64,0x7fe89efcf7313df9,0x408631b5b5e41263,1 +np.float64,0x3ffcc6fad4f98df6,0x3ff31245778dff6d,1 +np.float64,0x3ff356114466ac22,0x3fe45253d040a024,1 +np.float64,0x3ff81c70d2d038e2,0x3feefed71ebac776,1 +np.float64,0x7fdb75c96136eb92,0x40862d09a603f03e,1 +np.float64,0x3ff340f91b8681f2,0x3fe413bb6e6d4a54,1 +np.float64,0x3fff906079df20c1,0x3ff4d13869d16bc7,1 +np.float64,0x3ff226a42d644d48,0x3fe0698d316f1ac0,1 +np.float64,0x3ff948abc3b29158,0x3ff07eeb0b3c81ba,1 +np.float64,0x3ffc25df1fb84bbe,0x3ff2a4c13ad4edad,1 +np.float64,0x7fe07ea3b960fd46,0x40862e815b4cf43d,1 +np.float64,0x3ff497d3dae92fa8,0x3fe7b3917bf10311,1 +np.float64,0x7fea561db1f4ac3a,0x4086323fa4aef2a9,1 +np.float64,0x7fd1b49051236920,0x40862986d8759ce5,1 +np.float64,0x7f7ba3bd6037477a,0x40860bd19997fd90,1 +np.float64,0x3ff01126dd00224e,0x3fb76b67938dfb11,1 +np.float64,0x3ff29e1105053c22,0x3fe2102a4c5fa102,1 +np.float64,0x3ff9de2a6553bc55,0x3ff0f6cfe4dea30e,1 +np.float64,0x7fc558e7d42ab1cf,0x4086257a608fc055,1 +np.float64,0x3ff79830a74f3061,0x3fee0f93db153d65,1 +np.float64,0x7fe2661648e4cc2c,0x40862f6117a71eb2,1 +np.float64,0x3ff140cf4262819e,0x3fd92aefedae1ab4,1 +np.float64,0x3ff5f36251abe6c5,0x3feaced481ceaee3,1 +np.float64,0x7fc80911d5301223,0x4086266d4757f768,1 +np.float64,0x3ff9079a6c320f35,0x3ff04949d21ebe1e,1 +np.float64,0x3ffde8d2e09bd1a6,0x3ff3cedca8a5db5d,1 +np.float64,0x3ffadd1de375ba3c,0x3ff1b989790e8d93,1 +np.float64,0x3ffdbc40ee1b7882,0x3ff3b286b1c7da57,1 +np.float64,0x3ff8ff514771fea2,0x3ff04264add00971,1 +np.float64,0x7fefd7d0e63fafa1,0x408633c47d9f7ae4,1 +np.float64,0x3ffc47798c588ef3,0x3ff2bbe441fa783a,1 +np.float64,0x7fe6ebc55b6dd78a,0x408631232d9abf31,1 +np.float64,0xbff0000000000000,0xfff8000000000000,1 +np.float64,0x7fd378e4afa6f1c8,0x40862a49a8f98cb4,1 +np.float64,0x0,0xfff8000000000000,1 +np.float64,0x3ffe88ed7efd11db,0x3ff432c7ecb95492,1 +np.float64,0x3ff4f5509289eaa1,0x3fe8955a11656323,1 +np.float64,0x7fda255b41344ab6,0x40862ca53676a23e,1 +np.float64,0x3ffebe85b9bd7d0c,0x3ff453992cd55dea,1 +np.float64,0x3ff5d6180b8bac30,0x3fea901c2160c3bc,1 +np.float64,0x3ffcdfb8fcf9bf72,0x3ff322c83b3bc735,1 +np.float64,0x3ff3c91c26679238,0x3fe599a652b7cf59,1 +np.float64,0x7fc389f7a62713ee,0x408624c518edef93,1 +np.float64,0x3ffe1245ba1c248c,0x3ff3e901b2c4a47a,1 +np.float64,0x7fe1e76e95e3cedc,0x40862f29446f9eff,1 +np.float64,0x3ff02ae4f92055ca,0x3fc28221abd63daa,1 +np.float64,0x7fbf648a143ec913,0x40862304a0619d03,1 +np.float64,0x3ff2be7ef8657cfe,0x3fe27bcc6c97522e,1 +np.float64,0x3ffa7595e514eb2c,0x3ff16bdc64249ad1,1 +np.float64,0x3ff4ee130049dc26,0x3fe884354cbad8c9,1 +np.float64,0x3ff19211fc232424,0x3fdc2160bf3eae40,1 +np.float64,0x3ffec215aedd842c,0x3ff455c4cdd50c32,1 +np.float64,0x7fe7cb50ffaf96a1,0x4086316fc06a53af,1 +np.float64,0x3fffa679161f4cf2,0x3ff4de30ba7ac5b8,1 +np.float64,0x7fdcb459763968b2,0x40862d646a21011d,1 +np.float64,0x3ff9f338d6d3e672,0x3ff1075835d8f64e,1 +np.float64,0x3ff8de3319d1bc66,0x3ff026ae858c0458,1 +np.float64,0x7fee0199d33c0333,0x4086334ad03ac683,1 +np.float64,0x3ffc06076c380c0f,0x3ff28eaec3814faa,1 +np.float64,0x3ffe9e2e235d3c5c,0x3ff43fd4d2191a7f,1 +np.float64,0x3ffd93b06adb2761,0x3ff398888239cde8,1 +np.float64,0x7fefe4b71cffc96d,0x408633c7ba971b92,1 +np.float64,0x7fb2940352252806,0x40861ed244bcfed6,1 +np.float64,0x3ffba4647e3748c9,0x3ff24a15f02e11b9,1 +np.float64,0x7fd2d9543725b2a7,0x40862a0708446596,1 +np.float64,0x7fc04997f120932f,0x4086235055d35251,1 +np.float64,0x3ff6d14313ada286,0x3fec94b177f5d3fc,1 +np.float64,0x3ff279fc8684f3f9,0x3fe19511c3e5b9a8,1 +np.float64,0x3ff42f4609085e8c,0x3fe6aabe526ce2bc,1 +np.float64,0x7fc1c6c62a238d8b,0x408624037de7f6ec,1 +np.float64,0x7fe31ff4b8e63fe8,0x40862fb05b40fd16,1 +np.float64,0x7fd2a8825fa55104,0x408629f234d460d6,1 +np.float64,0x3ffe8c1d725d183b,0x3ff434bdc444143f,1 +np.float64,0x3ff0e9dc3e21d3b8,0x3fd58676e2c13fc9,1 +np.float64,0x3ffed03172fda063,0x3ff45e59f7aa6c8b,1 +np.float64,0x7fd74621962e8c42,0x40862bb6e90d66f8,1 +np.float64,0x3ff1faa29663f545,0x3fdf833a2c5efde1,1 +np.float64,0x7fda02834db40506,0x40862c9a860d6747,1 +np.float64,0x7f709b2fc021365f,0x408607be328eb3eb,1 +np.float64,0x7fec0d58aa381ab0,0x408632c0e61a1af6,1 +np.float64,0x3ff524d1720a49a3,0x3fe90479968d40fd,1 +np.float64,0x7fd64cb3b32c9966,0x40862b5f53c4b0b4,1 +np.float64,0x3ff9593e3ed2b27c,0x3ff08c6eea5f6e8b,1 +np.float64,0x3ff7de8b1f6fbd16,0x3fee9007abcfdf7b,1 +np.float64,0x7fe8d816d6b1b02d,0x408631c82e38a894,1 +np.float64,0x7fd726bbe22e4d77,0x40862bac16ee8d52,1 +np.float64,0x7fa70b07d42e160f,0x40861affcc4265e2,1 +np.float64,0x7fe18b4091e31680,0x40862effa8bce66f,1 +np.float64,0x3ff830253010604a,0x3fef21b2eaa75758,1 +np.float64,0x3fffcade407f95bc,0x3ff4f3734b24c419,1 +np.float64,0x3ff8c17cecb182fa,0x3ff00e75152d7bda,1 +np.float64,0x7fdad9b9d035b373,0x40862cdbabb793ba,1 +np.float64,0x3ff9f9e154f3f3c2,0x3ff10c8dfdbd2510,1 +np.float64,0x3ff465e162e8cbc3,0x3fe736c751c75b73,1 +np.float64,0x3ff9b4cd8493699b,0x3ff0d616235544b8,1 +np.float64,0x7fe557c4a56aaf88,0x4086309114ed12d9,1 +np.float64,0x7fe5999133eb3321,0x408630a9991a9b54,1 +np.float64,0x7fe7c9009e2f9200,0x4086316ef9359a47,1 +np.float64,0x3ff8545cabd0a8ba,0x3fef6141f1030c36,1 +np.float64,0x3ffa1f1712943e2e,0x3ff129849d492ce3,1 +np.float64,0x7fea803a14750073,0x4086324c652c276c,1 +np.float64,0x3ff5b6f97fcb6df3,0x3fea4cb0b97b18e9,1 +np.float64,0x7fc2efdfc425dfbf,0x40862485036a5c6e,1 +np.float64,0x7fe2c78e5be58f1c,0x40862f8b0a5e7baf,1 +np.float64,0x7fe80d7fff301aff,0x40863185e234060a,1 +np.float64,0x3ffd895d457b12ba,0x3ff391e2cac7a3f8,1 +np.float64,0x3ff44c9764a8992f,0x3fe6f6690396c232,1 +np.float64,0x3ff731688b8e62d1,0x3fed4ed70fac3839,1 +np.float64,0x3ff060200460c040,0x3fcbad4a07d97f0e,1 +np.float64,0x3ffbd2f70a17a5ee,0x3ff26afb46ade929,1 +np.float64,0x7febe9e841f7d3d0,0x408632b6c465ddd9,1 +np.float64,0x3ff2532f8be4a65f,0x3fe10c6cd8d64cf4,1 +np.float64,0x7fefffffffffffff,0x408633ce8fb9f87e,1 +np.float64,0x3ff3a1ae3a47435c,0x3fe52c00210cc459,1 +np.float64,0x7fe9c34ae6b38695,0x408632128d150149,1 +np.float64,0x3fff311029fe6220,0x3ff498b852f30bff,1 +np.float64,0x3ffd4485a1ba890c,0x3ff3653b6fa701cd,1 +np.float64,0x7fd52718b1aa4e30,0x40862af330d9c68c,1 +np.float64,0x3ff10b695a4216d3,0x3fd7009294e367b7,1 +np.float64,0x3ffdf73de59bee7c,0x3ff3d7fa96d2c1ae,1 +np.float64,0x3ff2f1c75965e38f,0x3fe320aaff3db882,1 +np.float64,0x3ff2a56a5a854ad5,0x3fe228cc4ad7e7a5,1 +np.float64,0x7fe60cd1cf6c19a3,0x408630d3d87a04b3,1 +np.float64,0x3ff89fa65c113f4c,0x3fefe3543773180c,1 +np.float64,0x3ffd253130ba4a62,0x3ff350b76ba692a0,1 +np.float64,0x7feaad7051f55ae0,0x40863259ff932d62,1 +np.float64,0x7fd9cc37cf33986f,0x40862c89c15f963b,1 +np.float64,0x3ff8c08de771811c,0x3ff00daa9c17acd7,1 +np.float64,0x7fea58b25d34b164,0x408632406d54cc6f,1 +np.float64,0x7fe5f161fd2be2c3,0x408630c9ddf272a5,1 +np.float64,0x3ff5840dbf8b081c,0x3fe9dc9117b4cbc7,1 +np.float64,0x3ff3fd762307faec,0x3fe6277cd530c640,1 +np.float64,0x3ff9095c98b212b9,0x3ff04abff170ac24,1 +np.float64,0x7feaac66017558cb,0x40863259afb4f8ce,1 +np.float64,0x7fd78f96bcaf1f2c,0x40862bd00175fdf9,1 +np.float64,0x3ffaca27e0959450,0x3ff1ab72b8f8633e,1 +np.float64,0x3ffb7f18cb96fe32,0x3ff22f81bcb8907b,1 +np.float64,0x3ffcce48d1199c92,0x3ff317276f62c0b2,1 +np.float64,0x3ffcb9a7f3797350,0x3ff30958e0d6a34d,1 +np.float64,0x7fda569ef6b4ad3d,0x40862cb43b33275a,1 +np.float64,0x7fde9f0893bd3e10,0x40862de8cc036283,1 +np.float64,0x3ff428be3928517c,0x3fe699bb5ab58904,1 +np.float64,0x7fa4d3344029a668,0x40861a3084989291,1 +np.float64,0x3ff03607bd006c0f,0x3fc4c4840cf35f48,1 +np.float64,0x3ff2b1335c056267,0x3fe25000846b75a2,1 +np.float64,0x7fe0cb8bd8e19717,0x40862ea65237d496,1 +np.float64,0x3fff4b1b7b9e9637,0x3ff4a83fb08e7b24,1 +np.float64,0x7fe7526140aea4c2,0x40863146ae86069c,1 +np.float64,0x7fbfcfb7c23f9f6f,0x4086231fc246ede5,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arcsin.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arcsin.csv new file mode 100644 index 0000000000000000000000000000000000000000..75d57072158bea7927824b07efb48352ae85b35b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arcsin.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xbe7d3a7c,0xbe7fe217,4 +np.float32,0x3dc102f0,0x3dc14c60,4 +np.float32,0xbe119c28,0xbe121aef,4 +np.float32,0xbe51cd68,0xbe534c75,4 +np.float32,0x3c04a300,0x3c04a35f,4 +np.float32,0xbf4f0b62,0xbf712a69,4 +np.float32,0x3ef61a5c,0x3f005cf6,4 +np.float32,0xbf13024c,0xbf1c97df,4 +np.float32,0x3e93b580,0x3e95d6b5,4 +np.float32,0x3e44e7b8,0x3e4623a5,4 +np.float32,0xbe35df20,0xbe36d773,4 +np.float32,0x3eecd2c0,0x3ef633cf,4 +np.float32,0x3f2772ba,0x3f36862a,4 +np.float32,0x3e211ea8,0x3e21cac5,4 +np.float32,0x3e3b3d90,0x3e3c4cc6,4 +np.float32,0x3f37c962,0x3f4d018c,4 +np.float32,0x3e92ad88,0x3e94c31a,4 +np.float32,0x3f356ffc,0x3f49a766,4 +np.float32,0x3f487ba2,0x3f665254,4 +np.float32,0x3f061c46,0x3f0d27ae,4 +np.float32,0xbee340a2,0xbeeb7722,4 +np.float32,0xbe85aede,0xbe874026,4 +np.float32,0x3f34cf9a,0x3f48c474,4 +np.float32,0x3e29a690,0x3e2a6fbd,4 +np.float32,0xbeb29428,0xbeb669d1,4 +np.float32,0xbe606d40,0xbe624370,4 +np.float32,0x3dae6860,0x3dae9e85,4 +np.float32,0xbf04872b,0xbf0b4d25,4 +np.float32,0x3f2080e2,0x3f2d7ab0,4 +np.float32,0xbec77dcc,0xbecceb27,4 +np.float32,0x3e0dda10,0x3e0e4f38,4 +np.float32,0xbefaf970,0xbf03262c,4 +np.float32,0x3f576a0c,0x3f7ffee6,4 +np.float32,0x3f222382,0x3f2f95d6,4 +np.float32,0x7fc00000,0x7fc00000,4 +np.float32,0x3e41c468,0x3e42f14e,4 +np.float32,0xbf2f64dd,0xbf4139a8,4 +np.float32,0xbf60ef90,0xbf895956,4 +np.float32,0xbf67c855,0xbf90eff0,4 +np.float32,0xbed35aee,0xbed9df00,4 +np.float32,0xbf2c7d92,0xbf3d448f,4 +np.float32,0x3f7b1604,0x3faff122,4 +np.float32,0xbf7c758b,0xbfb3bf87,4 +np.float32,0x3ecda1c8,0x3ed39acf,4 +np.float32,0x3f3af8ae,0x3f519fcb,4 +np.float32,0xbf16e6a3,0xbf2160fd,4 +np.float32,0x3f0c97d2,0x3f14d668,4 +np.float32,0x3f0a8060,0x3f1257b9,4 +np.float32,0x3f27905a,0x3f36ad57,4 +np.float32,0x3eeaeba4,0x3ef40efe,4 +np.float32,0x3e58dde0,0x3e5a8580,4 +np.float32,0xbf0cabe2,0xbf14ee6b,4 +np.float32,0xbe805ca8,0xbe81bf03,4 +np.float32,0x3f5462ba,0x3f7a7b85,4 +np.float32,0xbee235d0,0xbeea4d8b,4 +np.float32,0xbe880cb0,0xbe89b426,4 +np.float32,0x80000001,0x80000001,4 +np.float32,0x3f208c00,0x3f2d88f6,4 +np.float32,0xbf34f3d2,0xbf48f7a2,4 +np.float32,0x3f629428,0x3f8b1763,4 +np.float32,0xbf52a900,0xbf776b4a,4 +np.float32,0xbd17f8d0,0xbd1801be,4 +np.float32,0xbef7cada,0xbf0153d1,4 +np.float32,0x3f7d3b90,0x3fb63967,4 +np.float32,0xbd6a20b0,0xbd6a4160,4 +np.float32,0x3f740496,0x3fa1beb7,4 +np.float32,0x3ed8762c,0x3edf7dd9,4 +np.float32,0x3f53b066,0x3f793d42,4 +np.float32,0xbe9de718,0xbea084f9,4 +np.float32,0x3ea3ae90,0x3ea69b4b,4 +np.float32,0x3f1b8f00,0x3f273183,4 +np.float32,0x3f5cd6ac,0x3f852ead,4 +np.float32,0x3f29d510,0x3f39b169,4 +np.float32,0x3ee2a934,0x3eeace33,4 +np.float32,0x3eecac94,0x3ef608c2,4 +np.float32,0xbea915e2,0xbeac5203,4 +np.float32,0xbd316e90,0xbd317cc8,4 +np.float32,0xbf70b495,0xbf9c97b6,4 +np.float32,0xbe80d976,0xbe823ff3,4 +np.float32,0x3e9205f8,0x3e94143f,4 +np.float32,0x3f49247e,0x3f676296,4 +np.float32,0x3d9030c0,0x3d904f50,4 +np.float32,0x3e4df058,0x3e4f5a5c,4 +np.float32,0xbe1fd360,0xbe207b58,4 +np.float32,0xbf69dc7c,0xbf937006,4 +np.float32,0x3f36babe,0x3f4b7df3,4 +np.float32,0xbe8c9758,0xbe8e6bb7,4 +np.float32,0xbf4de72d,0xbf6f3c20,4 +np.float32,0xbecdad68,0xbed3a780,4 +np.float32,0xbf73e2cf,0xbfa18702,4 +np.float32,0xbece16a8,0xbed41a75,4 +np.float32,0x3f618a96,0x3f89fc6d,4 +np.float32,0xbf325853,0xbf454ea9,4 +np.float32,0x3f138568,0x3f1d3828,4 +np.float32,0xbf56a6e9,0xbf7e9748,4 +np.float32,0x3ef5d594,0x3f0035bf,4 +np.float32,0xbf408220,0xbf59dfaa,4 +np.float32,0xbed120e6,0xbed76dd5,4 +np.float32,0xbf6dbda5,0xbf986cee,4 +np.float32,0x3f744a38,0x3fa23282,4 +np.float32,0xbe4b56d8,0xbe4cb329,4 +np.float32,0x3f54c5f2,0x3f7b2d97,4 +np.float32,0xbd8b1c90,0xbd8b3801,4 +np.float32,0x3ee19a48,0x3ee9a03b,4 +np.float32,0x3f48460e,0x3f65fc3d,4 +np.float32,0x3eb541c0,0x3eb9461e,4 +np.float32,0xbea7d098,0xbeaaf98c,4 +np.float32,0xbda99e40,0xbda9d00c,4 +np.float32,0xbefb2ca6,0xbf03438d,4 +np.float32,0x3f4256be,0x3f5cab0b,4 +np.float32,0xbdbdb198,0xbdbdf74d,4 +np.float32,0xbf325b5f,0xbf4552e9,4 +np.float32,0xbf704d1a,0xbf9c00b4,4 +np.float32,0x3ebb1d04,0x3ebf8cf8,4 +np.float32,0xbed03566,0xbed66bf1,4 +np.float32,0x3e8fcee8,0x3e91c501,4 +np.float32,0xbf2e1eec,0xbf3f7b9d,4 +np.float32,0x3f33c4d2,0x3f474cac,4 +np.float32,0x3f598ef4,0x3f8201b4,4 +np.float32,0x3e09bb30,0x3e0a2660,4 +np.float32,0x3ed4e228,0x3edb8cdb,4 +np.float32,0x3eb7a190,0x3ebbd0a1,4 +np.float32,0xbd9ae630,0xbd9b0c18,4 +np.float32,0x3f43020e,0x3f5db2d7,4 +np.float32,0xbec06ac0,0xbec542d4,4 +np.float32,0x3f3dfde0,0x3f561674,4 +np.float32,0xbf64084a,0xbf8cabe6,4 +np.float32,0xbd6f95b0,0xbd6fb8b7,4 +np.float32,0x3f268640,0x3f354e2d,4 +np.float32,0xbe72b4bc,0xbe7509b2,4 +np.float32,0xbf3414fa,0xbf47bd5a,4 +np.float32,0xbf375218,0xbf4c566b,4 +np.float32,0x3f203c1a,0x3f2d2273,4 +np.float32,0xbd503530,0xbd504c2b,4 +np.float32,0xbc45e540,0xbc45e67b,4 +np.float32,0xbf175c4f,0xbf21f2c6,4 +np.float32,0x3f7432a6,0x3fa20b2b,4 +np.float32,0xbf43367f,0xbf5e03d8,4 +np.float32,0x3eb3997c,0x3eb780c4,4 +np.float32,0x3e5574c8,0x3e570878,4 +np.float32,0xbf04b57b,0xbf0b8349,4 +np.float32,0x3f6216d8,0x3f8a914b,4 +np.float32,0xbf57a237,0xbf80337d,4 +np.float32,0xbee1403a,0xbee93bee,4 +np.float32,0xbeaf9b9a,0xbeb33f3b,4 +np.float32,0xbf109374,0xbf19a223,4 +np.float32,0xbeae6824,0xbeb1f810,4 +np.float32,0xbcff9320,0xbcff9dbe,4 +np.float32,0x3ed205c0,0x3ed868a9,4 +np.float32,0x3d897c30,0x3d8996ad,4 +np.float32,0xbf2899d2,0xbf380d4c,4 +np.float32,0xbf54cb0b,0xbf7b36c2,4 +np.float32,0x3ea8e8ec,0x3eac2262,4 +np.float32,0x3ef5e1a0,0x3f003c9d,4 +np.float32,0xbf00c81e,0xbf06f1e2,4 +np.float32,0xbf346775,0xbf483181,4 +np.float32,0x3f7a4fe4,0x3fae077c,4 +np.float32,0x3f00776e,0x3f06948f,4 +np.float32,0xbe0a3078,0xbe0a9cbc,4 +np.float32,0xbeba0b06,0xbebe66be,4 +np.float32,0xbdff4e38,0xbdfff8b2,4 +np.float32,0xbe927f70,0xbe9492ff,4 +np.float32,0x3ebb07e0,0x3ebf7642,4 +np.float32,0x3ebcf8e0,0x3ec18c95,4 +np.float32,0x3f49bdfc,0x3f685b51,4 +np.float32,0x3cbc29c0,0x3cbc2dfd,4 +np.float32,0xbe9e951a,0xbea13bf1,4 +np.float32,0xbe8c237c,0xbe8df33d,4 +np.float32,0x3e17f198,0x3e1881c4,4 +np.float32,0xbd0b5220,0xbd0b5902,4 +np.float32,0xbf34c4a2,0xbf48b4f5,4 +np.float32,0xbedaa814,0xbee1ea94,4 +np.float32,0x3ebf5d6c,0x3ec42053,4 +np.float32,0x3cd04b40,0x3cd050ff,4 +np.float32,0xbec33fe0,0xbec85244,4 +np.float32,0xbf00b27a,0xbf06d8d8,4 +np.float32,0x3f15d7be,0x3f201243,4 +np.float32,0xbe3debd0,0xbe3f06f7,4 +np.float32,0xbea81704,0xbeab4418,4 +np.float32,0x1,0x1,4 +np.float32,0x3f49e6ba,0x3f689d8b,4 +np.float32,0x3f351030,0x3f491fc0,4 +np.float32,0x3e607de8,0x3e625482,4 +np.float32,0xbe8dbbe4,0xbe8f9c0e,4 +np.float32,0x3edbf350,0x3ee35924,4 +np.float32,0xbf0c84c4,0xbf14bf9c,4 +np.float32,0x3eb218b0,0x3eb5e61a,4 +np.float32,0x3e466dd0,0x3e47b138,4 +np.float32,0xbe8ece94,0xbe90ba01,4 +np.float32,0xbe82ec2a,0xbe84649a,4 +np.float32,0xbf7e1f10,0xbfb98b9e,4 +np.float32,0xbf2d00ea,0xbf3df688,4 +np.float32,0x3db7cdd0,0x3db80d36,4 +np.float32,0xbe388b98,0xbe398f25,4 +np.float32,0xbd86cb40,0xbd86e436,4 +np.float32,0x7f7fffff,0x7fc00000,4 +np.float32,0x3f472a60,0x3f6436c6,4 +np.float32,0xbf5b2c1d,0xbf838d87,4 +np.float32,0x3f0409ea,0x3f0abad8,4 +np.float32,0x3f47dd0e,0x3f6553f0,4 +np.float32,0x3e3eab00,0x3e3fc98a,4 +np.float32,0xbf7c2a7f,0xbfb2e19b,4 +np.float32,0xbeda0048,0xbee13112,4 +np.float32,0x3f46600a,0x3f62f5b2,4 +np.float32,0x3f45aef4,0x3f61de43,4 +np.float32,0x3dd40a50,0x3dd46bc4,4 +np.float32,0xbf6cdd0b,0xbf974191,4 +np.float32,0x3f78de4c,0x3faac725,4 +np.float32,0x3f3c39a4,0x3f53777f,4 +np.float32,0xbe2a30ec,0xbe2afc0b,4 +np.float32,0xbf3c0ef0,0xbf533887,4 +np.float32,0x3ecb6548,0x3ed12a53,4 +np.float32,0x3eb994e8,0x3ebde7fc,4 +np.float32,0x3d4c1ee0,0x3d4c3487,4 +np.float32,0xbf52cb6d,0xbf77a7eb,4 +np.float32,0x3eb905d4,0x3ebd4e80,4 +np.float32,0x3e712428,0x3e736d72,4 +np.float32,0xbf79ee6e,0xbfad22be,4 +np.float32,0x3de6f8b0,0x3de776c1,4 +np.float32,0x3e9b2898,0x3e9da325,4 +np.float32,0x3ea09b20,0x3ea35d20,4 +np.float32,0x3d0ea9a0,0x3d0eb103,4 +np.float32,0xbd911500,0xbd913423,4 +np.float32,0x3e004618,0x3e009c97,4 +np.float32,0x3f5e0e5a,0x3f86654c,4 +np.float32,0x3f2e6300,0x3f3fd88b,4 +np.float32,0x3e0cf5d0,0x3e0d68c3,4 +np.float32,0x3d6a16c0,0x3d6a376c,4 +np.float32,0x3f7174aa,0x3f9db53c,4 +np.float32,0xbe04bba0,0xbe051b81,4 +np.float32,0xbe6fdcb4,0xbe721c92,4 +np.float32,0x3f4379f0,0x3f5e6c31,4 +np.float32,0xbf680098,0xbf913257,4 +np.float32,0xbf3c31ca,0xbf536bea,4 +np.float32,0x3f59db58,0x3f824a4e,4 +np.float32,0xbf3ffc84,0xbf591554,4 +np.float32,0x3d1d5160,0x3d1d5b48,4 +np.float32,0x3f6c64ae,0x3f96a3da,4 +np.float32,0xbf1b49fd,0xbf26daaa,4 +np.float32,0x3ec80be0,0x3ecd8576,4 +np.float32,0x3f3becc0,0x3f530629,4 +np.float32,0xbea93890,0xbeac76c1,4 +np.float32,0x3f5b3acc,0x3f839bbd,4 +np.float32,0xbf5d6818,0xbf85bef9,4 +np.float32,0x3f794266,0x3fab9fa6,4 +np.float32,0xbee8eb7c,0xbef1cf3b,4 +np.float32,0xbf360a06,0xbf4a821e,4 +np.float32,0x3f441cf6,0x3f5f693d,4 +np.float32,0x3e60de40,0x3e62b742,4 +np.float32,0xbebb3d7e,0xbebfafdc,4 +np.float32,0x3e56a3a0,0x3e583e28,4 +np.float32,0x3f375bfe,0x3f4c6499,4 +np.float32,0xbf384d7d,0xbf4dbf9a,4 +np.float32,0x3efb03a4,0x3f032c06,4 +np.float32,0x3f1d5d10,0x3f29794d,4 +np.float32,0xbe25f7dc,0xbe26b41d,4 +np.float32,0x3f6d2f88,0x3f97aebb,4 +np.float32,0xbe9fa100,0xbea255cb,4 +np.float32,0xbf21dafa,0xbf2f382a,4 +np.float32,0x3d3870e0,0x3d3880d9,4 +np.float32,0x3eeaf00c,0x3ef413f4,4 +np.float32,0xbc884ea0,0xbc88503c,4 +np.float32,0xbf7dbdad,0xbfb80b6d,4 +np.float32,0xbf4eb713,0xbf709b46,4 +np.float32,0xbf1c0ad4,0xbf27cd92,4 +np.float32,0x3f323088,0x3f451737,4 +np.float32,0x3e405d88,0x3e4183e1,4 +np.float32,0x3d7ad580,0x3d7afdb4,4 +np.float32,0xbf207338,0xbf2d6927,4 +np.float32,0xbecf7948,0xbed59e1a,4 +np.float32,0x3f16ff94,0x3f217fde,4 +np.float32,0xbdf19588,0xbdf225dd,4 +np.float32,0xbf4d9654,0xbf6eb442,4 +np.float32,0xbf390b9b,0xbf4ed220,4 +np.float32,0xbe155a74,0xbe15e354,4 +np.float32,0x3f519e4c,0x3f759850,4 +np.float32,0xbee3f08c,0xbeec3b84,4 +np.float32,0xbf478be7,0xbf64d23b,4 +np.float32,0xbefdee50,0xbf04d92a,4 +np.float32,0x3e8def78,0x3e8fd1bc,4 +np.float32,0x3e3df2a8,0x3e3f0dee,4 +np.float32,0xbf413e22,0xbf5afd97,4 +np.float32,0xbf1b8bc4,0xbf272d71,4 +np.float32,0xbf31e5be,0xbf44af22,4 +np.float32,0x3de7e080,0x3de86010,4 +np.float32,0xbf5ddf7e,0xbf863645,4 +np.float32,0x3f3eba6a,0x3f57306e,4 +np.float32,0xff7fffff,0x7fc00000,4 +np.float32,0x3ec22d5c,0x3ec72973,4 +np.float32,0x80800000,0x80800000,4 +np.float32,0x3f032e0c,0x3f09ba82,4 +np.float32,0x3d74bd60,0x3d74e2b7,4 +np.float32,0xbea0d61e,0xbea39b42,4 +np.float32,0xbefdfa78,0xbf04e02a,4 +np.float32,0x3e5cb220,0x3e5e70ec,4 +np.float32,0xbe239e54,0xbe2452a4,4 +np.float32,0x3f452738,0x3f61090e,4 +np.float32,0x3e99a2e0,0x3e9c0a66,4 +np.float32,0x3e4394d8,0x3e44ca5f,4 +np.float32,0x3f4472e2,0x3f5fef14,4 +np.float32,0xbf46bc70,0xbf638814,4 +np.float32,0xbf0b910f,0xbf139c7a,4 +np.float32,0x3f36b4a6,0x3f4b753f,4 +np.float32,0x3e0bf478,0x3e0c64f6,4 +np.float32,0x3ce02480,0x3ce02ba9,4 +np.float32,0xbd904b10,0xbd9069b1,4 +np.float32,0xbf7f5d72,0xbfc00b70,4 +np.float32,0x3f62127e,0x3f8a8ca8,4 +np.float32,0xbf320253,0xbf44d6e4,4 +np.float32,0x3f2507be,0x3f335833,4 +np.float32,0x3f299284,0x3f395887,4 +np.float32,0xbd8211b0,0xbd82281d,4 +np.float32,0xbd3374c0,0xbd338376,4 +np.float32,0x3f36c56a,0x3f4b8d30,4 +np.float32,0xbf51f704,0xbf76331f,4 +np.float32,0xbe9871ca,0xbe9acab2,4 +np.float32,0xbe818d8c,0xbe82fa0f,4 +np.float32,0x3f08b958,0x3f103c18,4 +np.float32,0x3f22559a,0x3f2fd698,4 +np.float32,0xbf11f388,0xbf1b4db8,4 +np.float32,0x3ebe1990,0x3ec2c359,4 +np.float32,0xbe75ab38,0xbe7816b6,4 +np.float32,0x3e96102c,0x3e984c99,4 +np.float32,0xbe80d9d2,0xbe824052,4 +np.float32,0x3ef47588,0x3efeda7f,4 +np.float32,0xbe45e524,0xbe4725ea,4 +np.float32,0x3f7f9e7a,0x3fc213ff,4 +np.float32,0x3f1d3c36,0x3f294faa,4 +np.float32,0xbf3c58db,0xbf53a591,4 +np.float32,0x3f0d3d20,0x3f159c69,4 +np.float32,0x3f744be6,0x3fa23552,4 +np.float32,0x3f2e0cea,0x3f3f630e,4 +np.float32,0x3e193c10,0x3e19cff7,4 +np.float32,0xbf4150ac,0xbf5b19dd,4 +np.float32,0xbf145f72,0xbf1e4355,4 +np.float32,0xbb76cc00,0xbb76cc26,4 +np.float32,0x3f756780,0x3fa41b3e,4 +np.float32,0x3ea9b868,0x3eacfe3c,4 +np.float32,0x3d07c920,0x3d07cf7f,4 +np.float32,0xbf2263d4,0xbf2fe8ff,4 +np.float32,0x3e53b3f8,0x3e553daa,4 +np.float32,0xbf785be8,0xbfa9b5ba,4 +np.float32,0x3f324f7a,0x3f454254,4 +np.float32,0xbf2188f2,0xbf2ece5b,4 +np.float32,0xbe33781c,0xbe3466a2,4 +np.float32,0xbd3cf120,0xbd3d024c,4 +np.float32,0x3f06b18a,0x3f0dd70f,4 +np.float32,0x3f40d63e,0x3f5a5f6a,4 +np.float32,0x3f752340,0x3fa3a41e,4 +np.float32,0xbe1cf1c0,0xbe1d90bc,4 +np.float32,0xbf02d948,0xbf0957d7,4 +np.float32,0x3f73bed0,0x3fa14bf7,4 +np.float32,0x3d914920,0x3d916864,4 +np.float32,0x7fa00000,0x7fe00000,4 +np.float32,0xbe67a5d8,0xbe69aba7,4 +np.float32,0x3f689c4a,0x3f91eb9f,4 +np.float32,0xbf196e00,0xbf248601,4 +np.float32,0xbf50dacb,0xbf7444fe,4 +np.float32,0x3f628b86,0x3f8b0e1e,4 +np.float32,0x3f6ee2f2,0x3f99fe7f,4 +np.float32,0x3ee5df40,0x3eee6492,4 +np.float32,0x3f501746,0x3f72f41b,4 +np.float32,0xbf1f0f18,0xbf2ba164,4 +np.float32,0xbf1a8bfd,0xbf25ec01,4 +np.float32,0xbd4926f0,0xbd493ba9,4 +np.float32,0xbf4e364f,0xbf6fc17b,4 +np.float32,0x3e50c578,0x3e523ed4,4 +np.float32,0x3f65bf10,0x3f8e95ce,4 +np.float32,0xbe8d75a2,0xbe8f52f2,4 +np.float32,0xbf3f557e,0xbf581962,4 +np.float32,0xbeff2bfc,0xbf05903a,4 +np.float32,0x3f5e8bde,0x3f86e3d8,4 +np.float32,0xbf7a0012,0xbfad4b9b,4 +np.float32,0x3edefce0,0x3ee6b790,4 +np.float32,0xbf0003de,0xbf060f09,4 +np.float32,0x3efc4650,0x3f03e548,4 +np.float32,0x3f4582e4,0x3f6198f5,4 +np.float32,0x3f10086c,0x3f18f9d0,4 +np.float32,0x3f1cd304,0x3f28ca77,4 +np.float32,0x3f683366,0x3f916e8d,4 +np.float32,0xbed49392,0xbedb3675,4 +np.float32,0xbf6fe5f6,0xbf9b6c0e,4 +np.float32,0xbf59b416,0xbf8224f6,4 +np.float32,0x3d20c960,0x3d20d3f4,4 +np.float32,0x3f6b00d6,0x3f94dbe7,4 +np.float32,0x3f6c26ae,0x3f965352,4 +np.float32,0xbf370ea6,0xbf4bf5dd,4 +np.float32,0x3dfe7230,0x3dff1af1,4 +np.float32,0xbefc21a8,0xbf03d038,4 +np.float32,0x3f16a990,0x3f21156a,4 +np.float32,0xbef8ac0c,0xbf01d48f,4 +np.float32,0x3f170de8,0x3f21919d,4 +np.float32,0x3db9ef80,0x3dba3122,4 +np.float32,0x3d696400,0x3d698461,4 +np.float32,0x3f007aa2,0x3f069843,4 +np.float32,0x3f22827c,0x3f3010a9,4 +np.float32,0x3f3650dc,0x3f4ae6f1,4 +np.float32,0xbf1d8037,0xbf29a5e1,4 +np.float32,0xbf08fdc4,0xbf108d0e,4 +np.float32,0xbd8df350,0xbd8e1079,4 +np.float32,0xbf36bb32,0xbf4b7e98,4 +np.float32,0x3f2e3756,0x3f3f9ced,4 +np.float32,0x3d5a6f20,0x3d5a89aa,4 +np.float32,0x3f55d568,0x3f7d1889,4 +np.float32,0x3e1ed110,0x3e1f75d9,4 +np.float32,0x3e7386b8,0x3e75e1dc,4 +np.float32,0x3f48ea0e,0x3f670434,4 +np.float32,0x3e921fb0,0x3e942f14,4 +np.float32,0xbf0d4d0b,0xbf15af7f,4 +np.float32,0x3f179ed2,0x3f224549,4 +np.float32,0xbf3a328e,0xbf507e6d,4 +np.float32,0xbf74591a,0xbfa24b6e,4 +np.float32,0x3ec7d1c4,0x3ecd4657,4 +np.float32,0xbf6ecbed,0xbf99de85,4 +np.float32,0x3db0bd00,0x3db0f559,4 +np.float32,0x7f800000,0x7fc00000,4 +np.float32,0x3e0373b8,0x3e03d0d6,4 +np.float32,0xbf439784,0xbf5e9a04,4 +np.float32,0xbef97a9e,0xbf024ac6,4 +np.float32,0x3e4d71a8,0x3e4ed90a,4 +np.float32,0xbf14d868,0xbf1ed7e3,4 +np.float32,0xbf776870,0xbfa7ce37,4 +np.float32,0xbe32a500,0xbe339038,4 +np.float32,0xbf326d8a,0xbf456c3d,4 +np.float32,0xbe9b758c,0xbe9df3e7,4 +np.float32,0x3d9515a0,0x3d95376a,4 +np.float32,0x3e3f7320,0x3e40953e,4 +np.float32,0xbee57e7e,0xbeedf84f,4 +np.float32,0x3e821e94,0x3e838ffd,4 +np.float32,0x3f74beaa,0x3fa2f721,4 +np.float32,0xbe9b7672,0xbe9df4d9,4 +np.float32,0x3f4041fc,0x3f597e71,4 +np.float32,0xbe9ea7c4,0xbea14f92,4 +np.float32,0xbf800000,0xbfc90fdb,4 +np.float32,0x3e04fb90,0x3e055bfd,4 +np.float32,0xbf14d3d6,0xbf1ed245,4 +np.float32,0xbe84ebec,0xbe86763e,4 +np.float32,0x3f08e568,0x3f107039,4 +np.float32,0x3d8dc9e0,0x3d8de6ef,4 +np.float32,0x3ea4549c,0x3ea74a94,4 +np.float32,0xbebd2806,0xbec1bf51,4 +np.float32,0x3f311a26,0x3f439498,4 +np.float32,0xbf3d2222,0xbf54cf7e,4 +np.float32,0x3e00c500,0x3e011c81,4 +np.float32,0xbe35ed1c,0xbe36e5a9,4 +np.float32,0xbd4ec020,0xbd4ed6a0,4 +np.float32,0x3e1eb088,0x3e1f54eb,4 +np.float32,0x3cf94840,0x3cf9521a,4 +np.float32,0xbf010c5d,0xbf0740e0,4 +np.float32,0xbf3bd63b,0xbf52e502,4 +np.float32,0x3f233f30,0x3f310542,4 +np.float32,0x3ea24128,0x3ea519d7,4 +np.float32,0x3f478b38,0x3f64d124,4 +np.float32,0x3f1e0c6c,0x3f2a57ec,4 +np.float32,0xbf3ad294,0xbf51680a,4 +np.float32,0x3ede0554,0x3ee5a4b4,4 +np.float32,0x3e451a98,0x3e46577d,4 +np.float32,0x3f520164,0x3f764542,4 +np.float32,0x0,0x0,4 +np.float32,0xbd056cd0,0xbd0572db,4 +np.float32,0xbf58b018,0xbf812f5e,4 +np.float32,0x3e036eb0,0x3e03cbc3,4 +np.float32,0x3d1377a0,0x3d137fc9,4 +np.float32,0xbf692d3a,0xbf929a2c,4 +np.float32,0xbec60fb8,0xbecb5dea,4 +np.float32,0x3ed23340,0x3ed89a8e,4 +np.float32,0x3c87f040,0x3c87f1d9,4 +np.float32,0x3dac62f0,0x3dac9737,4 +np.float32,0xbed97c16,0xbee09f02,4 +np.float32,0xbf2d5f3c,0xbf3e769c,4 +np.float32,0xbc3b7c40,0xbc3b7d4c,4 +np.float32,0x3ed998ec,0x3ee0bedd,4 +np.float32,0x3dd86630,0x3dd8cdcb,4 +np.float32,0x3e8b4304,0x3e8d09ea,4 +np.float32,0x3f51e6b0,0x3f761697,4 +np.float32,0x3ec51f24,0x3eca5923,4 +np.float32,0xbf647430,0xbf8d2307,4 +np.float32,0x3f253d9c,0x3f339eb2,4 +np.float32,0x3dc969d0,0x3dc9bd4b,4 +np.float32,0xbc2f1300,0xbc2f13da,4 +np.float32,0xbf170007,0xbf21806d,4 +np.float32,0x3f757d10,0x3fa4412e,4 +np.float32,0xbe7864ac,0xbe7ae564,4 +np.float32,0x3f2ffe90,0x3f420cfb,4 +np.float32,0xbe576138,0xbe590012,4 +np.float32,0xbf517a21,0xbf755959,4 +np.float32,0xbf159cfe,0xbf1fc9d5,4 +np.float32,0xbf638b2a,0xbf8c22cf,4 +np.float32,0xff800000,0x7fc00000,4 +np.float32,0x3ed19ca0,0x3ed7f569,4 +np.float32,0x3f7c4460,0x3fb32d26,4 +np.float32,0x3ebfae6c,0x3ec477ab,4 +np.float32,0x3dd452d0,0x3dd4b4a8,4 +np.float32,0x3f471482,0x3f6413fb,4 +np.float32,0xbf49d704,0xbf6883fe,4 +np.float32,0xbd42c4e0,0xbd42d7af,4 +np.float32,0xbeb02994,0xbeb3d668,4 +np.float32,0x3f4d1fd8,0x3f6dedd2,4 +np.float32,0x3efb591c,0x3f035d11,4 +np.float32,0x80000000,0x80000000,4 +np.float32,0xbf50f782,0xbf7476ad,4 +np.float32,0x3d7232c0,0x3d7256f0,4 +np.float32,0x3f649460,0x3f8d46bb,4 +np.float32,0x3f5561bc,0x3f7c46a9,4 +np.float32,0x3e64f6a0,0x3e66ea5d,4 +np.float32,0x3e5b0470,0x3e5cb8f9,4 +np.float32,0xbe9b6b2c,0xbe9de904,4 +np.float32,0x3f6c33f4,0x3f966486,4 +np.float32,0x3f5cee54,0x3f854613,4 +np.float32,0x3ed3e044,0x3eda716e,4 +np.float32,0xbf3cac7f,0xbf542131,4 +np.float32,0x3c723500,0x3c723742,4 +np.float32,0x3de59900,0x3de614d3,4 +np.float32,0xbdf292f8,0xbdf32517,4 +np.float32,0x3f05c8b2,0x3f0cc59b,4 +np.float32,0xbf1ab182,0xbf261b14,4 +np.float32,0xbda396f0,0xbda3c39a,4 +np.float32,0xbf270ed0,0xbf360231,4 +np.float32,0x3f2063e6,0x3f2d557e,4 +np.float32,0x3c550280,0x3c550409,4 +np.float32,0xbe103b48,0xbe10b679,4 +np.float32,0xbebae390,0xbebf4f40,4 +np.float32,0x3f3bc868,0x3f52d0aa,4 +np.float32,0xbd62f880,0xbd631647,4 +np.float32,0xbe7a38f4,0xbe7cc833,4 +np.float32,0x3f09d796,0x3f118f39,4 +np.float32,0xbf5fa558,0xbf8802d0,4 +np.float32,0x3f111cc8,0x3f1a48b0,4 +np.float32,0x3e831958,0x3e849356,4 +np.float32,0xbf614dbd,0xbf89bc3b,4 +np.float32,0xbd521510,0xbd522cac,4 +np.float32,0x3f05af22,0x3f0ca7a0,4 +np.float32,0xbf1ac60e,0xbf2634df,4 +np.float32,0xbf6bd05e,0xbf95e3fe,4 +np.float32,0xbd1fa6e0,0xbd1fb13b,4 +np.float32,0xbeb82f7a,0xbebc68b1,4 +np.float32,0xbd92aaf8,0xbd92cb23,4 +np.float32,0xbe073a54,0xbe079fbf,4 +np.float32,0xbf198655,0xbf24a468,4 +np.float32,0x3f62f6d8,0x3f8b81ba,4 +np.float32,0x3eef4310,0x3ef8f4f9,4 +np.float32,0x3e8988e0,0x3e8b3eae,4 +np.float32,0xbf3ddba5,0xbf55e367,4 +np.float32,0x3dc6d2e0,0x3dc7232b,4 +np.float32,0xbf31040e,0xbf437601,4 +np.float32,0x3f1bb74a,0x3f276442,4 +np.float32,0xbf0075d2,0xbf0692b3,4 +np.float32,0xbf606ce0,0xbf88d0ff,4 +np.float32,0xbf083856,0xbf0fa39d,4 +np.float32,0xbdb25b20,0xbdb2950a,4 +np.float32,0xbeb86860,0xbebca5ae,4 +np.float32,0x3de83160,0x3de8b176,4 +np.float32,0xbf33a98f,0xbf472664,4 +np.float32,0x3e7795f8,0x3e7a1058,4 +np.float32,0x3e0ca6f8,0x3e0d192a,4 +np.float32,0xbf1aef60,0xbf2668c3,4 +np.float32,0xbda53b58,0xbda5695e,4 +np.float32,0xbf178096,0xbf221fc5,4 +np.float32,0xbf0a4159,0xbf120ccf,4 +np.float32,0x3f7bca36,0x3fb1d0df,4 +np.float32,0xbef94360,0xbf022b26,4 +np.float32,0xbef16f36,0xbefb6ad6,4 +np.float32,0x3f53a7e6,0x3f792e25,4 +np.float32,0xbf7c536f,0xbfb35993,4 +np.float32,0xbe84aaa0,0xbe8632a2,4 +np.float32,0x3ecb3998,0x3ed0fab9,4 +np.float32,0x3f539304,0x3f79090a,4 +np.float32,0xbf3c7816,0xbf53d3b3,4 +np.float32,0xbe7a387c,0xbe7cc7b7,4 +np.float32,0x3f7000e4,0x3f9b92b1,4 +np.float32,0x3e08fd70,0x3e0966e5,4 +np.float32,0x3db97ba0,0x3db9bcc8,4 +np.float32,0xbee99056,0xbef2886a,4 +np.float32,0xbf0668da,0xbf0d819e,4 +np.float32,0x3e58a408,0x3e5a4a51,4 +np.float32,0x3f3440b8,0x3f47faed,4 +np.float32,0xbf19a2ce,0xbf24c7ff,4 +np.float32,0xbe75e990,0xbe7856ee,4 +np.float32,0x3f3c865c,0x3f53e8cb,4 +np.float32,0x3e5e03d0,0x3e5fcac9,4 +np.float32,0x3edb8e34,0x3ee2e932,4 +np.float32,0xbf7e1f5f,0xbfb98ce4,4 +np.float32,0xbf7372ff,0xbfa0d0ae,4 +np.float32,0xbf3ee850,0xbf577548,4 +np.float32,0x3ef19658,0x3efb9737,4 +np.float32,0xbe8088de,0xbe81ecaf,4 +np.float32,0x800000,0x800000,4 +np.float32,0xbde39dd8,0xbde4167a,4 +np.float32,0xbf065d7a,0xbf0d7441,4 +np.float32,0xbde52c78,0xbde5a79b,4 +np.float32,0xbe3a28c0,0xbe3b333e,4 +np.float32,0x3f6e8b3c,0x3f998516,4 +np.float32,0x3f3485c2,0x3f485c39,4 +np.float32,0x3e6f2c68,0x3e71673e,4 +np.float32,0xbe4ec9cc,0xbe50385e,4 +np.float32,0xbf1c3bb0,0xbf280b39,4 +np.float32,0x3ec8ea18,0x3ece76f7,4 +np.float32,0x3e26b5f8,0x3e2774c9,4 +np.float32,0x3e1e4a38,0x3e1eed5c,4 +np.float32,0xbee7a106,0xbef05c6b,4 +np.float32,0xbf305928,0xbf4289d8,4 +np.float32,0x3f0c431c,0x3f147118,4 +np.float32,0xbe57ba6c,0xbe595b52,4 +np.float32,0x3eabc9cc,0x3eaf2fc7,4 +np.float32,0xbef1ed24,0xbefbf9ae,4 +np.float32,0xbf61b576,0xbf8a29cc,4 +np.float32,0x3e9c1ff4,0x3e9ea6cb,4 +np.float32,0x3f6c53b2,0x3f968dbe,4 +np.float32,0x3e2d1b80,0x3e2df156,4 +np.float32,0x3e9f2f70,0x3ea1de4a,4 +np.float32,0xbf5861ee,0xbf80e61a,4 +np.float32,0x3f429144,0x3f5d0505,4 +np.float32,0x3e235cc8,0x3e24103e,4 +np.float32,0xbf354879,0xbf496f6a,4 +np.float32,0xbf20a146,0xbf2da447,4 +np.float32,0x3e8d8968,0x3e8f6785,4 +np.float32,0x3f3fbc94,0x3f58b4c1,4 +np.float32,0x3f2c5f50,0x3f3d1b9f,4 +np.float32,0x3f7bf0f8,0x3fb23d23,4 +np.float32,0xbf218282,0xbf2ec60f,4 +np.float32,0x3f2545aa,0x3f33a93e,4 +np.float32,0xbf4b17be,0xbf6a9018,4 +np.float32,0xbb9df700,0xbb9df728,4 +np.float32,0x3f685d54,0x3f91a06c,4 +np.float32,0x3efdfe2c,0x3f04e24c,4 +np.float32,0x3ef1c5a0,0x3efbccd9,4 +np.float32,0xbf41d731,0xbf5be76e,4 +np.float32,0x3ebd1360,0x3ec1a919,4 +np.float32,0xbf706bd4,0xbf9c2d58,4 +np.float32,0x3ea525e4,0x3ea8279d,4 +np.float32,0xbe51f1b0,0xbe537186,4 +np.float32,0x3f5e8cf6,0x3f86e4f4,4 +np.float32,0xbdad2520,0xbdad5a19,4 +np.float32,0xbf5c5704,0xbf84b0e5,4 +np.float32,0x3f47b54e,0x3f65145e,4 +np.float32,0x3eb4fc78,0x3eb8fc0c,4 +np.float32,0x3dca1450,0x3dca68a1,4 +np.float32,0x3eb02a74,0x3eb3d757,4 +np.float32,0x3f74ae6a,0x3fa2db75,4 +np.float32,0x3f800000,0x3fc90fdb,4 +np.float32,0xbdb46a00,0xbdb4a5f2,4 +np.float32,0xbe9f2ba6,0xbea1da4e,4 +np.float32,0x3f0afa70,0x3f12e8f7,4 +np.float32,0xbf677b20,0xbf909547,4 +np.float32,0x3eff9188,0x3f05cacf,4 +np.float32,0x3f720562,0x3f9e911b,4 +np.float32,0xbf7180d8,0xbf9dc794,4 +np.float32,0xbee7d076,0xbef0919d,4 +np.float32,0x3f0432ce,0x3f0aea95,4 +np.float32,0x3f3bc4c8,0x3f52cb54,4 +np.float32,0xbea72f30,0xbeaa4ebe,4 +np.float32,0x3e90ed00,0x3e92ef33,4 +np.float32,0xbda63670,0xbda6654a,4 +np.float32,0xbf5a6f85,0xbf82d7e0,4 +np.float32,0x3e6e8808,0x3e70be34,4 +np.float32,0xbf4f3822,0xbf71768f,4 +np.float32,0x3e5c8a68,0x3e5e483f,4 +np.float32,0xbf0669d4,0xbf0d82c4,4 +np.float32,0xbf79f77c,0xbfad37b0,4 +np.float32,0x3f25c82c,0x3f345453,4 +np.float32,0x3f1b2948,0x3f26b188,4 +np.float32,0x3ef7e288,0x3f016159,4 +np.float32,0x3c274280,0x3c27433e,4 +np.float32,0xbf4c8fa0,0xbf6cfd5e,4 +np.float32,0x3ea4ccb4,0x3ea7c966,4 +np.float32,0xbf7b157e,0xbfafefca,4 +np.float32,0xbee4c2b0,0xbeed264d,4 +np.float32,0xbc1fd640,0xbc1fd6e6,4 +np.float32,0x3e892308,0x3e8ad4f6,4 +np.float32,0xbf3f69c7,0xbf5837ed,4 +np.float32,0x3ec879e8,0x3ecdfd05,4 +np.float32,0x3f07a8c6,0x3f0efa30,4 +np.float32,0x3f67b880,0x3f90dd4d,4 +np.float32,0x3e8a11c8,0x3e8bccd5,4 +np.float32,0x3f7df6fc,0x3fb8e935,4 +np.float32,0xbef3e498,0xbefe3599,4 +np.float32,0xbf18ad7d,0xbf2395d8,4 +np.float32,0x3f2bce74,0x3f3c57f5,4 +np.float32,0xbf38086e,0xbf4d5c2e,4 +np.float32,0x3f772d7a,0x3fa75c35,4 +np.float32,0xbf3b6e24,0xbf524c00,4 +np.float32,0xbdd39108,0xbdd3f1d4,4 +np.float32,0xbf691f6b,0xbf928974,4 +np.float32,0x3f146188,0x3f1e45e4,4 +np.float32,0xbf56045b,0xbf7d6e03,4 +np.float32,0xbf4b2ee4,0xbf6ab622,4 +np.float32,0xbf3fa3f6,0xbf588f9d,4 +np.float32,0x3f127bb0,0x3f1bf398,4 +np.float32,0x3ed858a0,0x3edf5d3e,4 +np.float32,0xbd6de3b0,0xbd6e05fa,4 +np.float32,0xbecc662c,0xbed24261,4 +np.float32,0xbd6791d0,0xbd67b170,4 +np.float32,0xbf146016,0xbf1e441e,4 +np.float32,0xbf61f04c,0xbf8a6841,4 +np.float32,0xbe7f16d0,0xbe80e6e7,4 +np.float32,0xbebf93e6,0xbec45b10,4 +np.float32,0xbe8a59fc,0xbe8c17d1,4 +np.float32,0xbebc7a0c,0xbec10426,4 +np.float32,0xbf2a682e,0xbf3a7649,4 +np.float32,0xbe18d0cc,0xbe19637b,4 +np.float32,0x3d7f5100,0x3d7f7b66,4 +np.float32,0xbf10f5fa,0xbf1a1998,4 +np.float32,0x3f25e956,0x3f347fdc,4 +np.float32,0x3e6e8658,0x3e70bc78,4 +np.float32,0x3f21a5de,0x3f2ef3a5,4 +np.float32,0xbf4e71d4,0xbf702607,4 +np.float32,0xbf49d6b6,0xbf688380,4 +np.float32,0xbdb729c0,0xbdb7687c,4 +np.float32,0xbf63e1f4,0xbf8c81c7,4 +np.float32,0x3dda6cb0,0x3ddad73e,4 +np.float32,0x3ee1bc40,0x3ee9c612,4 +np.float32,0x3ebdb5f8,0x3ec2581b,4 +np.float32,0x3f7d9576,0x3fb77646,4 +np.float32,0x3e087140,0x3e08d971,4 +np.float64,0xbfdba523cfb74a48,0xbfdc960ddd9c0506,1 +np.float64,0x3fb51773622a2ee0,0x3fb51d93f77089d5,1 +np.float64,0x3fc839f6d33073f0,0x3fc85f9a47dfe8e6,1 +np.float64,0xbfecba2d82f9745b,0xbff1d55416c6c993,1 +np.float64,0x3fd520fe47aa41fc,0x3fd58867f1179634,1 +np.float64,0x3fe1b369c56366d4,0x3fe2c1ac9dd2c45a,1 +np.float64,0xbfec25a7cd784b50,0xbff133417389b12d,1 +np.float64,0xbfd286342ea50c68,0xbfd2cb0bca22e66d,1 +np.float64,0x3fd5f6fe5eabedfc,0x3fd66bad16680d08,1 +np.float64,0xbfe863a87570c751,0xbfebbb9b637eb6dc,1 +np.float64,0x3fc97f5b4d32feb8,0x3fc9ab5066d8eaec,1 +np.float64,0xbfcb667af936ccf4,0xbfcb9d3017047a1d,1 +np.float64,0xbfd1b7b9afa36f74,0xbfd1f3c175706154,1 +np.float64,0x3fef97385b7f2e70,0x3ff6922a1a6c709f,1 +np.float64,0xbfd13e4205a27c84,0xbfd1757c993cdb74,1 +np.float64,0xbfd18d88aca31b12,0xbfd1c7dd75068f7d,1 +np.float64,0x3fe040ce0f60819c,0x3fe10c59d2a27089,1 +np.float64,0xbfddc7deddbb8fbe,0xbfdef9de5baecdda,1 +np.float64,0xbfcf6e96193edd2c,0xbfcfc1bb7396b9a3,1 +np.float64,0x3fd544f494aa89e8,0x3fd5ae850e2b37dd,1 +np.float64,0x3fe15b381fe2b670,0x3fe25841c7bfe2af,1 +np.float64,0xbfde793420bcf268,0xbfdfc2ddc7b4a341,1 +np.float64,0x3fd0d5db30a1abb8,0x3fd1092cef4aa4fb,1 +np.float64,0x3fe386a08c670d42,0x3fe50059bbf7f491,1 +np.float64,0xbfe0aae3a96155c8,0xbfe1880ef13e95ce,1 +np.float64,0xbfe80eeb03f01dd6,0xbfeb39e9f107e944,1 +np.float64,0xbfd531af3caa635e,0xbfd59a178f17552a,1 +np.float64,0x3fcced14ab39da28,0x3fcd2d9a806337ef,1 +np.float64,0xbfdb4c71bcb698e4,0xbfdc33d9d9daf708,1 +np.float64,0xbfde7375ecbce6ec,0xbfdfbc5611bc48ff,1 +np.float64,0x3fecc5707a798ae0,0x3ff1e2268d778017,1 +np.float64,0x3fe8f210a1f1e422,0x3fec9b3349a5baa2,1 +np.float64,0x3fe357f9b8e6aff4,0x3fe4c5a0b89a9228,1 +np.float64,0xbfe0f863b761f0c8,0xbfe1e3283494c3d4,1 +np.float64,0x3fd017c395a02f88,0x3fd044761f2f4a66,1 +np.float64,0x3febeb4746f7d68e,0x3ff0f6b955e7feb6,1 +np.float64,0xbfbdaaeeae3b55e0,0xbfbdbc0950109261,1 +np.float64,0xbfea013095f40261,0xbfee5b8fe8ad8593,1 +np.float64,0xbfe9f87b7973f0f7,0xbfee4ca3a8438d72,1 +np.float64,0x3fd37f77cfa6fef0,0x3fd3d018c825f057,1 +np.float64,0x3fb0799cee20f340,0x3fb07c879e7cb63f,1 +np.float64,0xbfdcfd581cb9fab0,0xbfde15e35314b52d,1 +np.float64,0xbfd49781b8a92f04,0xbfd4f6fa1516fefc,1 +np.float64,0x3fb3fcb6d627f970,0x3fb401ed44a713a8,1 +np.float64,0x3fd5737ef8aae6fc,0x3fd5dfe42d4416c7,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xbfe56ae780ead5cf,0xbfe776ea5721b900,1 +np.float64,0x3fd4567786a8acf0,0x3fd4b255421c161a,1 +np.float64,0x3fef6fb58cfedf6c,0x3ff62012dfcf0a33,1 +np.float64,0xbfd1dbcd3da3b79a,0xbfd2194fd628f74d,1 +np.float64,0x3fd9350016b26a00,0x3fd9e8b01eb023e9,1 +np.float64,0xbfe4fb3a69e9f675,0xbfe6e1d2c9eca56c,1 +np.float64,0x3fe9fe0f73f3fc1e,0x3fee5631cfd39772,1 +np.float64,0xbfd51c1bc6aa3838,0xbfd5833b3bd53543,1 +np.float64,0x3fc64158e12c82b0,0x3fc65e7352f237d7,1 +np.float64,0x3fd0d8ee1ba1b1dc,0x3fd10c5c99a16f0e,1 +np.float64,0x3fd5554e15aaaa9c,0x3fd5bfdb9ec9e873,1 +np.float64,0x3fe61ce209ec39c4,0x3fe869bc4c28437d,1 +np.float64,0xbfe4e42c8c69c859,0xbfe6c356dac7e2db,1 +np.float64,0xbfe157021062ae04,0xbfe2533ed39f4212,1 +np.float64,0x3fe844066cf0880c,0x3feb8aea0b7bd0a4,1 +np.float64,0x3fe55016586aa02c,0x3fe752e4b2a67b9f,1 +np.float64,0x3fdabce619b579cc,0x3fdb95809bc789d9,1 +np.float64,0x3fee03bae37c0776,0x3ff3778ba38ca882,1 +np.float64,0xbfeb2f5844f65eb0,0xbff03dd1b767d3c8,1 +np.float64,0x3fedcfdbaffb9fb8,0x3ff32e81d0639164,1 +np.float64,0x3fe06fc63ee0df8c,0x3fe142fc27f92eaf,1 +np.float64,0x3fe7ce90fd6f9d22,0x3fead8f832bbbf5d,1 +np.float64,0xbfbc0015ce380028,0xbfbc0e7470e06e86,1 +np.float64,0xbfe9b3de90f367bd,0xbfedd857931dfc6b,1 +np.float64,0xbfcb588f5936b120,0xbfcb8ef0124a4f21,1 +np.float64,0x3f8d376a503a6f00,0x3f8d37ab43e7988d,1 +np.float64,0xbfdb123a40b62474,0xbfdbf38b6cf5db92,1 +np.float64,0xbfee7da6be7cfb4e,0xbff433042cd9d5eb,1 +np.float64,0xbfc4c9e01b2993c0,0xbfc4e18dbafe37ef,1 +np.float64,0x3fedd42faffba860,0x3ff334790cd18a19,1 +np.float64,0x3fe9cdf772f39bee,0x3fee044f87b856ab,1 +np.float64,0x3fe0245881e048b2,0x3fe0eb5a1f739c8d,1 +np.float64,0xbfe4712bd9e8e258,0xbfe62cb3d82034aa,1 +np.float64,0x3fe9a16b46f342d6,0x3fedb972b2542551,1 +np.float64,0xbfe57ab4536af568,0xbfe78c34b03569c2,1 +np.float64,0x3fb6d6ceb22dada0,0x3fb6de976964d6dd,1 +np.float64,0x3fc3ac23a3275848,0x3fc3c02de53919b8,1 +np.float64,0xbfccb531e7396a64,0xbfccf43ec69f6281,1 +np.float64,0xbfd2f07fc8a5e100,0xbfd33a35a8c41b62,1 +np.float64,0xbfe3e5dd04e7cbba,0xbfe57940157c27ba,1 +np.float64,0x3feefe40757dfc80,0x3ff51bc72b846af6,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0x3fecb7b766796f6e,0x3ff1d28972a0fc7e,1 +np.float64,0xbfea1bf1357437e2,0xbfee89a6532bfd71,1 +np.float64,0xbfca3983b7347308,0xbfca696463b791ef,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0xbf886b45d030d680,0xbf886b6bbc04314b,1 +np.float64,0x3fd5224bb5aa4498,0x3fd589c92e82218f,1 +np.float64,0xbfec799874f8f331,0xbff18d5158b8e640,1 +np.float64,0xbf88124410302480,0xbf88126863350a16,1 +np.float64,0xbfe37feaaa66ffd6,0xbfe4f7e24382e79d,1 +np.float64,0x3fd777eca1aeefd8,0x3fd8076ead6d55dc,1 +np.float64,0x3fecaaeb3af955d6,0x3ff1c4159fa3e965,1 +np.float64,0xbfeb81e4e6f703ca,0xbff08d4e4c77fada,1 +np.float64,0xbfd7d0a0edafa142,0xbfd866e37010312e,1 +np.float64,0x3feda48c00fb4918,0x3ff2f3fd33c36307,1 +np.float64,0x3feb87ecc4770fda,0x3ff09336e490deda,1 +np.float64,0xbfefd78ad27faf16,0xbff78abbafb50ac1,1 +np.float64,0x3fe58e918c6b1d24,0x3fe7a70b38cbf016,1 +np.float64,0x3fda163b95b42c78,0x3fdade86b88ba4ee,1 +np.float64,0x3fe8fc1aaf71f836,0x3fecab3f93b59df5,1 +np.float64,0xbf8de56f903bcac0,0xbf8de5b527cec797,1 +np.float64,0xbfec112db2f8225b,0xbff11dd648de706f,1 +np.float64,0x3fc3214713264290,0x3fc333b1c862f7d0,1 +np.float64,0xbfeb5e5836f6bcb0,0xbff06ac364b49177,1 +np.float64,0x3fc23d9777247b30,0x3fc24d8ae3bcb615,1 +np.float64,0xbfdf0eed65be1dda,0xbfe036cea9b9dfb6,1 +np.float64,0xbfb2d5c85a25ab90,0xbfb2da24bb409ff3,1 +np.float64,0xbfecdda0c3f9bb42,0xbff1fdf94fc6e89e,1 +np.float64,0x3fdfe79154bfcf24,0x3fe0b338e0476a9d,1 +np.float64,0xbfd712ac6bae2558,0xbfd79abde21f287b,1 +np.float64,0x3fea3f148a747e2a,0x3feec6bed9d4fa04,1 +np.float64,0x3fd4879e4ca90f3c,0x3fd4e632fa4e2edd,1 +np.float64,0x3fe9137a9e7226f6,0x3fecd0c441088d6a,1 +np.float64,0xbfc75bf4ef2eb7e8,0xbfc77da8347d742d,1 +np.float64,0xbfd94090a0b28122,0xbfd9f5458816ed5a,1 +np.float64,0x3fde439cbcbc8738,0x3fdf85fbf496b61f,1 +np.float64,0xbfe18bacdce3175a,0xbfe29210e01237f7,1 +np.float64,0xbfd58ec413ab1d88,0xbfd5fcd838f0a934,1 +np.float64,0xbfeae5af2d75cb5e,0xbfeff1de1b4a06be,1 +np.float64,0x3fb64d1a162c9a30,0x3fb65458fb831354,1 +np.float64,0x3fc18b1e15231640,0x3fc1994c6ffd7a6a,1 +np.float64,0xbfd7b881bcaf7104,0xbfd84ce89a9ee8c7,1 +np.float64,0x3feb916a40f722d4,0x3ff09c8aa851d7c4,1 +np.float64,0x3fdab5fbb5b56bf8,0x3fdb8de43961bbde,1 +np.float64,0x3fe4f35402e9e6a8,0x3fe6d75dc5082894,1 +np.float64,0x3fe2fdb2e5e5fb66,0x3fe454e32a5d2182,1 +np.float64,0x3fe8607195f0c0e4,0x3febb6a4c3bf6a5c,1 +np.float64,0x3fd543ca9aaa8794,0x3fd5ad49203ae572,1 +np.float64,0x3fe8e05ca1f1c0ba,0x3fec7eff123dcc58,1 +np.float64,0x3fe298b6ca65316e,0x3fe3d81d2927c4dd,1 +np.float64,0x3fcfecea733fd9d8,0x3fd0220f1d0faf78,1 +np.float64,0xbfe2e739f065ce74,0xbfe439004e73772a,1 +np.float64,0xbfd1ae6b82a35cd8,0xbfd1ea129a5ee756,1 +np.float64,0xbfeb7edff576fdc0,0xbff08a5a638b8a8b,1 +np.float64,0x3fe5b645ff6b6c8c,0x3fe7dcee1faefe3f,1 +np.float64,0xbfd478427ba8f084,0xbfd4d5fc7c239e60,1 +np.float64,0xbfe39904e3e7320a,0xbfe517972b30b1e5,1 +np.float64,0xbfd3b75b6ba76eb6,0xbfd40acf20a6e074,1 +np.float64,0x3fd596267aab2c4c,0x3fd604b01faeaf75,1 +np.float64,0x3fe134463762688c,0x3fe229fc36784a72,1 +np.float64,0x3fd25dadf7a4bb5c,0x3fd2a0b9e04ea060,1 +np.float64,0xbfc05d3e0b20ba7c,0xbfc068bd2bb9966f,1 +np.float64,0x3f8cf517b039ea00,0x3f8cf556ed74b163,1 +np.float64,0x3fda87361cb50e6c,0x3fdb5a75af897e7f,1 +np.float64,0x3fe53e1926ea7c32,0x3fe73acf01b8ff31,1 +np.float64,0x3fe2e94857e5d290,0x3fe43b8cc820f9c7,1 +np.float64,0x3fd81fe6acb03fcc,0x3fd8bc623c0068cf,1 +np.float64,0xbfddf662c3bbecc6,0xbfdf2e76dc90786e,1 +np.float64,0x3fece174fbf9c2ea,0x3ff2026a1a889580,1 +np.float64,0xbfdc83c5b8b9078c,0xbfdd8dcf6ee3b7da,1 +np.float64,0x3feaf5448f75ea8a,0x3ff0075b108bcd0d,1 +np.float64,0xbfebf32f7ef7e65f,0xbff0fed42aaa826a,1 +np.float64,0x3fe389e5e8e713cc,0x3fe5047ade055ccb,1 +np.float64,0x3f635cdcc026ba00,0x3f635cddeea082ce,1 +np.float64,0x3fae580f543cb020,0x3fae5c9d5108a796,1 +np.float64,0x3fec9fafce793f60,0x3ff1b77bec654f00,1 +np.float64,0x3fb19d226e233a40,0x3fb1a0b32531f7ee,1 +np.float64,0xbfdf9a71e7bf34e4,0xbfe086cef88626c7,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0xbfef170ba2fe2e17,0xbff54ed4675f5b8a,1 +np.float64,0xbfcc6e2f8f38dc60,0xbfccab65fc34d183,1 +np.float64,0x3fee756c4bfcead8,0x3ff4258782c137e6,1 +np.float64,0xbfd461c218a8c384,0xbfd4be3e391f0ff4,1 +np.float64,0xbfe3b64686e76c8d,0xbfe53caa16d6c90f,1 +np.float64,0xbfc1c65d8d238cbc,0xbfc1d51e58f82403,1 +np.float64,0x3fe6e06c63edc0d8,0x3fe97cb832eeb6a2,1 +np.float64,0xbfc9fc20b933f840,0xbfca2ab004312d85,1 +np.float64,0xbfe29aa6df65354e,0xbfe3da7ecf3ba466,1 +np.float64,0x3fea4df7d1749bf0,0x3feee0d448bd4746,1 +np.float64,0xbfedec6161fbd8c3,0xbff3563e1d943aa2,1 +np.float64,0x3fdb6f0437b6de08,0x3fdc5a1888b1213d,1 +np.float64,0xbfe270cbd3e4e198,0xbfe3a72ac27a0b0c,1 +np.float64,0xbfdfff8068bfff00,0xbfe0c1088e3b8983,1 +np.float64,0xbfd28edbe6a51db8,0xbfd2d416c8ed363e,1 +np.float64,0xbfb4e35f9229c6c0,0xbfb4e9531d2a737f,1 +np.float64,0xbfee6727e97cce50,0xbff40e7717576e46,1 +np.float64,0xbfddb5fbddbb6bf8,0xbfdee5aad78f5361,1 +np.float64,0xbfdf9d3e9dbf3a7e,0xbfe0886b191f2957,1 +np.float64,0x3fa57e77042afce0,0x3fa5801518ea9342,1 +np.float64,0x3f95c4e4882b89c0,0x3f95c55003c8e714,1 +np.float64,0x3fd9b10f61b36220,0x3fda6fe5d635a8aa,1 +np.float64,0xbfe2973411652e68,0xbfe3d641fe9885fd,1 +np.float64,0xbfee87bd5a7d0f7b,0xbff443bea81b3fff,1 +np.float64,0x3f9ea064c83d40c0,0x3f9ea19025085b2f,1 +np.float64,0xbfe4b823dfe97048,0xbfe689623d30dc75,1 +np.float64,0xbfa06a326c20d460,0xbfa06aeacbcd3eb8,1 +np.float64,0x3fe1e5c4c1e3cb8a,0x3fe2fe44b822f20e,1 +np.float64,0x3f99dafaa833b600,0x3f99dbaec10a1a0a,1 +np.float64,0xbfed7cb3877af967,0xbff2bfe9e556aaf9,1 +np.float64,0x3fd604f2e2ac09e4,0x3fd67a89408ce6ba,1 +np.float64,0x3fec57b60f78af6c,0x3ff16881f46d60f7,1 +np.float64,0xbfea2e3a17745c74,0xbfeea95c7190fd42,1 +np.float64,0xbfd60a7c37ac14f8,0xbfd6806ed642de35,1 +np.float64,0xbfe544b9726a8973,0xbfe743ac399d81d7,1 +np.float64,0xbfd13520faa26a42,0xbfd16c02034a8fe0,1 +np.float64,0xbfea9ea59ff53d4b,0xbfef70538ee12e00,1 +np.float64,0x3fd66633f8accc68,0x3fd6e23c13ab0e9e,1 +np.float64,0xbfe4071bd3e80e38,0xbfe5a3c9ba897d81,1 +np.float64,0xbfbe1659fa3c2cb0,0xbfbe2831d4fed196,1 +np.float64,0xbfd3312777a6624e,0xbfd37df09b9baeba,1 +np.float64,0x3fd13997caa27330,0x3fd170a4900c8907,1 +np.float64,0xbfe7cbc235ef9784,0xbfead4c4d6cbf129,1 +np.float64,0xbfe1456571628acb,0xbfe23e4ec768c8e2,1 +np.float64,0xbfedf1a044fbe340,0xbff35da96773e176,1 +np.float64,0x3fce38b1553c7160,0x3fce8270709774f9,1 +np.float64,0xbfecb01761f9602f,0xbff1c9e9d382f1f8,1 +np.float64,0xbfe0a03560e1406b,0xbfe17b8d5a1ca662,1 +np.float64,0x3fe50f37cbea1e70,0x3fe6fc55e1ae7da6,1 +np.float64,0xbfe12d64a0625aca,0xbfe221d3a7834e43,1 +np.float64,0xbf6fb288403f6500,0xbf6fb28d6f389db6,1 +np.float64,0x3fda831765b50630,0x3fdb55eecae58ca9,1 +np.float64,0x3fe1a0fe4c6341fc,0x3fe2ab9564304425,1 +np.float64,0xbfef2678a77e4cf1,0xbff56ff42b2797bb,1 +np.float64,0xbfab269c1c364d40,0xbfab29df1cd48779,1 +np.float64,0x3fe8ec82a271d906,0x3fec92567d7a6675,1 +np.float64,0xbfc235115f246a24,0xbfc244ee567682ea,1 +np.float64,0x3feef5bf8d7deb80,0x3ff50ad4875ee9bd,1 +np.float64,0x3fe768b5486ed16a,0x3fea421356160e65,1 +np.float64,0xbfd4255684a84aae,0xbfd47e8baf7ec7f6,1 +np.float64,0x3fc7f67f2b2fed00,0x3fc81ae83cf92dd5,1 +np.float64,0x3fe9b1b19a736364,0x3fedd4b0e24ee741,1 +np.float64,0x3fb27eb9e624fd70,0x3fb282dacd89ce28,1 +np.float64,0xbfd490b710a9216e,0xbfd4efcdeb213458,1 +np.float64,0xbfd1347b2ca268f6,0xbfd16b55dece2d38,1 +np.float64,0x3fc6a5668d2d4ad0,0x3fc6c41452c0c087,1 +np.float64,0xbfca7b209f34f640,0xbfcaac710486f6bd,1 +np.float64,0x3fc23a1a47247438,0x3fc24a047fd4c27a,1 +np.float64,0x3fdb1413a8b62828,0x3fdbf595e2d994bc,1 +np.float64,0xbfea69b396f4d367,0xbfef11bdd2b0709a,1 +np.float64,0x3fd14c9958a29934,0x3fd1846161b10422,1 +np.float64,0xbfe205f44be40be8,0xbfe325283aa3c6a8,1 +np.float64,0x3fecd03c9ef9a07a,0x3ff1ee85aaf52a01,1 +np.float64,0x3fe34281d7e68504,0x3fe4aab63e6de816,1 +np.float64,0xbfe120e2376241c4,0xbfe213023ab03939,1 +np.float64,0xbfe951edc4f2a3dc,0xbfed3615e38576f8,1 +np.float64,0x3fe5a2286f6b4450,0x3fe7c196e0ec10ed,1 +np.float64,0xbfed7a3e1f7af47c,0xbff2bcc0793555d2,1 +np.float64,0x3fe050274960a04e,0x3fe11e2e256ea5cc,1 +np.float64,0xbfcfa71f653f4e40,0xbfcffc11483d6a06,1 +np.float64,0x3f6ead2e403d5a00,0x3f6ead32f314c052,1 +np.float64,0x3fe3a2a026674540,0x3fe523bfe085f6ec,1 +np.float64,0xbfe294a62e65294c,0xbfe3d31ebd0b4ca2,1 +np.float64,0xbfb4894d06291298,0xbfb48ef4b8e256b8,1 +np.float64,0xbfc0c042c1218084,0xbfc0cc98ac2767c4,1 +np.float64,0xbfc6a32cb52d4658,0xbfc6c1d1597ed06b,1 +np.float64,0xbfd30f7777a61eee,0xbfd35aa39fee34eb,1 +np.float64,0x3fe7fc2c2eeff858,0x3feb1d8a558b5537,1 +np.float64,0x7fefffffffffffff,0x7ff8000000000000,1 +np.float64,0xbfdadf917bb5bf22,0xbfdbbbae9a9f67a0,1 +np.float64,0xbfcf0395e13e072c,0xbfcf5366015f7362,1 +np.float64,0xbfe8644c9170c899,0xbfebbc98e74a227d,1 +np.float64,0x3fc3b2d8e52765b0,0x3fc3c6f7d44cffaa,1 +np.float64,0x3fc57407b92ae810,0x3fc58e12ccdd47a1,1 +np.float64,0x3fd56a560daad4ac,0x3fd5d62b8dfcc058,1 +np.float64,0x3fd595deefab2bbc,0x3fd6046420b2f79b,1 +np.float64,0xbfd5360f50aa6c1e,0xbfd59ebaacd815b8,1 +np.float64,0x3fdfb6aababf6d54,0x3fe0970b8aac9f61,1 +np.float64,0x3ff0000000000000,0x3ff921fb54442d18,1 +np.float64,0xbfeb3a8958f67513,0xbff04872e8278c79,1 +np.float64,0x3f9e1ea6683c3d40,0x3f9e1fc326186705,1 +np.float64,0x3fe6b6d5986d6dac,0x3fe94175bd60b19d,1 +np.float64,0xbfee4d90b77c9b21,0xbff3e60e9134edc2,1 +np.float64,0x3fd806ce0cb00d9c,0x3fd8a14c4855a8f5,1 +np.float64,0x3fd54acc75aa9598,0x3fd5b4b72fcbb5df,1 +np.float64,0xbfe59761f16b2ec4,0xbfe7b2fa5d0244ac,1 +np.float64,0xbfcd4fa3513a9f48,0xbfcd92d0814a5383,1 +np.float64,0xbfdc827523b904ea,0xbfdd8c577b53053c,1 +np.float64,0xbfd4bb7f34a976fe,0xbfd51d00d9a99360,1 +np.float64,0xbfe818bc87f03179,0xbfeb48d1ea0199c5,1 +np.float64,0xbfa8a2e15c3145c0,0xbfa8a5510ba0e45c,1 +np.float64,0xbfb6d15f422da2c0,0xbfb6d922689da015,1 +np.float64,0x3fcd04eaab3a09d8,0x3fcd46131746ef08,1 +np.float64,0x3fcfb5cfbb3f6ba0,0x3fd0059d308237f3,1 +np.float64,0x3fe8dcf609f1b9ec,0x3fec7997973010b6,1 +np.float64,0xbfdf1834d7be306a,0xbfe03c1d4e2b48f0,1 +np.float64,0x3fee82ae50fd055c,0x3ff43b545066fe1a,1 +np.float64,0xbfde039c08bc0738,0xbfdf3d6ed4d2ee5c,1 +np.float64,0x3fec07389bf80e72,0x3ff1137ed0acd161,1 +np.float64,0xbfef44c010fe8980,0xbff5b488ad22a4c5,1 +np.float64,0x3f76e722e02dce00,0x3f76e72ab2759d88,1 +np.float64,0xbfcaa9e6053553cc,0xbfcadc41125fca93,1 +np.float64,0x3fed6088147ac110,0x3ff29c06c4ef35fc,1 +np.float64,0x3fd32bd836a657b0,0x3fd3785fdb75909f,1 +np.float64,0xbfeedbb1d97db764,0xbff4d87f6c82a93c,1 +np.float64,0xbfe40f31d5e81e64,0xbfe5ae292cf258a2,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0xbfeb2b25bc76564c,0xbff039d81388550c,1 +np.float64,0x3fec5008fa78a012,0x3ff1604195801da3,1 +np.float64,0x3fce2d4f293c5aa0,0x3fce76b99c2db4da,1 +np.float64,0xbfdc435412b886a8,0xbfdd45e7b7813f1e,1 +np.float64,0x3fdf2c9d06be593c,0x3fe047cb03c141b6,1 +np.float64,0x3fddefc61ebbdf8c,0x3fdf26fb8fad9fae,1 +np.float64,0x3fab50218436a040,0x3fab537395eaf3bb,1 +np.float64,0xbfd5b95a8fab72b6,0xbfd62a191a59343a,1 +np.float64,0x3fdbf803b4b7f008,0x3fdcf211578e98c3,1 +np.float64,0xbfec8c255979184b,0xbff1a1bee108ed30,1 +np.float64,0x3fe33cdaffe679b6,0x3fe4a3a318cd994f,1 +np.float64,0x3fd8cf585cb19eb0,0x3fd97a408bf3c38c,1 +np.float64,0x3fe919dde07233bc,0x3fecdb0ea13a2455,1 +np.float64,0xbfd5ba35e4ab746c,0xbfd62b024805542d,1 +np.float64,0x3fd2f933e7a5f268,0x3fd343527565e97c,1 +np.float64,0xbfe5b9f8ddeb73f2,0xbfe7e1f772c3e438,1 +np.float64,0x3fe843cd92f0879c,0x3feb8a92d68eae3e,1 +np.float64,0xbfd096b234a12d64,0xbfd0c7beca2c6605,1 +np.float64,0xbfef3363da7e66c8,0xbff58c98dde6c27c,1 +np.float64,0x3fd51b01ddaa3604,0x3fd582109d89ead1,1 +np.float64,0x3fea0f10ff741e22,0x3fee736c2d2a2067,1 +np.float64,0x3fc276e7b724edd0,0x3fc28774520bc6d4,1 +np.float64,0xbfef9abc9f7f3579,0xbff69d49762b1889,1 +np.float64,0x3fe1539ec0e2a73e,0x3fe24f370b7687d0,1 +np.float64,0x3fad72350c3ae460,0x3fad765e7766682a,1 +np.float64,0x3fa289a47c251340,0x3fa28aae12f41646,1 +np.float64,0xbfe5c488e5eb8912,0xbfe7f05d7e7dcddb,1 +np.float64,0xbfc22ef1d7245de4,0xbfc23ebeb990a1b8,1 +np.float64,0x3fe59a0b80eb3418,0x3fe7b695fdcba1de,1 +np.float64,0xbfe9cad619f395ac,0xbfedff0514d91e2c,1 +np.float64,0x3fc8bc74eb3178e8,0x3fc8e48cb22da666,1 +np.float64,0xbfc5389a3f2a7134,0xbfc551cd6febc544,1 +np.float64,0x3fce82feb33d0600,0x3fceceecce2467ef,1 +np.float64,0x3fda346791b468d0,0x3fdaff95154a4ca6,1 +np.float64,0x3fd04501fea08a04,0x3fd073397b32607e,1 +np.float64,0xbfb6be498a2d7c90,0xbfb6c5f93aeb0e57,1 +np.float64,0x3fe1f030dd63e062,0x3fe30ad8fb97cce0,1 +np.float64,0xbfee3fb36dfc7f67,0xbff3d0a5e380b86f,1 +np.float64,0xbfa876773c30ecf0,0xbfa878d9d3df6a3f,1 +np.float64,0x3fdb58296eb6b054,0x3fdc40ceffb17f82,1 +np.float64,0xbfea16b5d8742d6c,0xbfee809b99fd6adc,1 +np.float64,0xbfdc5062b6b8a0c6,0xbfdd547623275fdb,1 +np.float64,0x3fef6db242fedb64,0x3ff61ab4cdaef467,1 +np.float64,0xbfc9f778f933eef0,0xbfca25eef1088167,1 +np.float64,0xbfd22063eba440c8,0xbfd260c8766c69cf,1 +np.float64,0x3fdd2379f2ba46f4,0x3fde40b025cb1ffa,1 +np.float64,0xbfea967af2f52cf6,0xbfef61a178774636,1 +np.float64,0x3fe4f5b49fe9eb6a,0x3fe6da8311a5520e,1 +np.float64,0x3feccde17b799bc2,0x3ff1ebd0ea228b71,1 +np.float64,0x3fe1bb76506376ec,0x3fe2cb56fca01840,1 +np.float64,0xbfef94e583ff29cb,0xbff68aeab8ba75a2,1 +np.float64,0x3fed024a55fa0494,0x3ff228ea5d456e9d,1 +np.float64,0xbfe877b2a8f0ef65,0xbfebdaa1a4712459,1 +np.float64,0x3fef687a8d7ed0f6,0x3ff60cf5fef8d448,1 +np.float64,0xbfeeb2dc8afd65b9,0xbff48dda6a906cd6,1 +np.float64,0x3fdb2e28aeb65c50,0x3fdc12620655eb7a,1 +np.float64,0x3fedc1863afb830c,0x3ff31ae823315e83,1 +np.float64,0xbfe6b1bb546d6376,0xbfe93a38163e3a59,1 +np.float64,0x3fe479c78468f390,0x3fe637e5c0fc5730,1 +np.float64,0x3fbad1fade35a3f0,0x3fbade9a43ca05cf,1 +np.float64,0xbfe2d1c563e5a38b,0xbfe41e712785900c,1 +np.float64,0xbfc08c33ed211868,0xbfc09817a752d500,1 +np.float64,0xbfecce0935f99c12,0xbff1ebfe84524037,1 +np.float64,0x3fce4ef0e73c9de0,0x3fce995638a3dc48,1 +np.float64,0xbfd2fb2343a5f646,0xbfd345592517ca18,1 +np.float64,0x3fd848f7cdb091f0,0x3fd8e8bee5f7b49a,1 +np.float64,0x3fe532b7d2ea6570,0x3fe72b9ac747926a,1 +np.float64,0x3fd616aadcac2d54,0x3fd68d692c5cad42,1 +np.float64,0x3fd7720eb3aee41c,0x3fd801206a0e1e43,1 +np.float64,0x3fee835a35fd06b4,0x3ff43c7175eb7a54,1 +np.float64,0xbfe2e8f70b65d1ee,0xbfe43b2800a947a7,1 +np.float64,0xbfed38f45d7a71e9,0xbff26acd6bde7174,1 +np.float64,0xbfc0c62661218c4c,0xbfc0d28964d66120,1 +np.float64,0x3fe97940bef2f282,0x3fed76b986a74ee3,1 +np.float64,0x3fc96f7dc532def8,0x3fc99b20044c8fcf,1 +np.float64,0xbfd60201eeac0404,0xbfd677675efaaedc,1 +np.float64,0x3fe63c0867ec7810,0x3fe894f060200140,1 +np.float64,0xbfef6144b37ec289,0xbff5fa589a515ba8,1 +np.float64,0xbfde2da0c8bc5b42,0xbfdf6d0b59e3232a,1 +np.float64,0xbfd7401612ae802c,0xbfd7cb74ddd413b9,1 +np.float64,0x3fe41c012de83802,0x3fe5be9d87da3f82,1 +np.float64,0x3fdf501609bea02c,0x3fe05c1d96a2270b,1 +np.float64,0x3fcf9fa1233f3f40,0x3fcff45598e72f07,1 +np.float64,0x3fd4e3895ea9c714,0x3fd547580d8392a2,1 +np.float64,0x3fe1e8ff5fe3d1fe,0x3fe3022a0b86a2ab,1 +np.float64,0xbfe0aa55956154ab,0xbfe18768823da589,1 +np.float64,0x3fb2a0aa26254150,0x3fb2a4e1faff1c93,1 +np.float64,0x3fd3823417a70468,0x3fd3d2f808dbb167,1 +np.float64,0xbfaed323643da640,0xbfaed7e9bef69811,1 +np.float64,0x3fe661e8c4ecc3d2,0x3fe8c9c535f43c16,1 +np.float64,0xbfa429777c2852f0,0xbfa42acd38ba02a6,1 +np.float64,0x3fb5993ea22b3280,0x3fb59fd353e47397,1 +np.float64,0x3fee62d21efcc5a4,0x3ff40788f9278ade,1 +np.float64,0xbf813fb810227f80,0xbf813fc56d8f3c53,1 +np.float64,0x3fd56205deaac40c,0x3fd5cd59671ef193,1 +np.float64,0x3fd31a4de5a6349c,0x3fd365fe401b66e8,1 +np.float64,0xbfec7cc7a478f98f,0xbff190cf69703ca4,1 +np.float64,0xbf755881a02ab100,0xbf755887f52e7794,1 +np.float64,0x3fdd1c92e6ba3924,0x3fde38efb4e8605c,1 +np.float64,0x3fdf49da80be93b4,0x3fe0588af8dd4a34,1 +np.float64,0x3fe1fcdbf2e3f9b8,0x3fe31a27b9d273f2,1 +np.float64,0x3fe2a0f18be541e4,0x3fe3e23b159ce20f,1 +np.float64,0xbfed0f1561fa1e2b,0xbff23820fc0a54ca,1 +np.float64,0x3fe34a006c669400,0x3fe4b419b9ed2b83,1 +np.float64,0xbfd51be430aa37c8,0xbfd583005a4d62e7,1 +np.float64,0x3fe5ec4e336bd89c,0x3fe826caad6b0f65,1 +np.float64,0xbfdad71b1fb5ae36,0xbfdbb25bef8b53d8,1 +np.float64,0xbfe8eac2d871d586,0xbfec8f8cac7952f9,1 +np.float64,0xbfe1d5aef663ab5e,0xbfe2eae14b7ccdfd,1 +np.float64,0x3fec11d3157823a6,0x3ff11e8279506753,1 +np.float64,0xbfe67ff1166cffe2,0xbfe8f3e61c1dfd32,1 +np.float64,0xbfd101eecda203de,0xbfd136e0e9557022,1 +np.float64,0x3fde6c9e5cbcd93c,0x3fdfb48ee7efe134,1 +np.float64,0x3fec3ede9c787dbe,0x3ff14dead1e5cc1c,1 +np.float64,0x3fe7a022086f4044,0x3fea93ce2980b161,1 +np.float64,0xbfc3b2b1b7276564,0xbfc3c6d02d60bb21,1 +np.float64,0x7ff0000000000000,0x7ff8000000000000,1 +np.float64,0x3fe60b5647ec16ac,0x3fe8517ef0544b40,1 +np.float64,0xbfd20ab654a4156c,0xbfd24a2f1b8e4932,1 +np.float64,0xbfe4aa1e2f69543c,0xbfe677005cbd2646,1 +np.float64,0xbfc831cc0b306398,0xbfc8574910d0b86d,1 +np.float64,0xbfc3143495262868,0xbfc3267961b79198,1 +np.float64,0x3fc14d64c1229ac8,0x3fc15afea90a319d,1 +np.float64,0x3fc0a5a207214b48,0x3fc0b1bd2f15c1b0,1 +np.float64,0xbfc0b8351521706c,0xbfc0c4792672d6db,1 +np.float64,0xbfdc383600b8706c,0xbfdd398429e163bd,1 +np.float64,0x3fd9e17321b3c2e8,0x3fdaa4c4d140a622,1 +np.float64,0xbfd44f079ea89e10,0xbfd4aa7d6deff4ab,1 +np.float64,0xbfc3de52a927bca4,0xbfc3f2f8f65f4c3f,1 +np.float64,0x3fe7779d566eef3a,0x3fea57f8592dbaad,1 +np.float64,0xbfe309039e661207,0xbfe462f47f9a64e5,1 +np.float64,0x3fd8e06d08b1c0dc,0x3fd98cc946e440a6,1 +np.float64,0x3fdde66c9ebbccd8,0x3fdf1c68009a8dc1,1 +np.float64,0x3fd4369c6ba86d38,0x3fd490bf460a69e4,1 +np.float64,0xbfe132252fe2644a,0xbfe22775e109cc2e,1 +np.float64,0x3fee15483c7c2a90,0x3ff39111de89036f,1 +np.float64,0xbfc1d5ee8123abdc,0xbfc1e4d66c6871a5,1 +np.float64,0x3fc851c52b30a388,0x3fc877d93fb4ae1a,1 +np.float64,0x3fdaade707b55bd0,0x3fdb85001661fffe,1 +np.float64,0xbfe79fb7f96f3f70,0xbfea9330ec27ac10,1 +np.float64,0xbfe8b0f725f161ee,0xbfec3411c0e4517a,1 +np.float64,0xbfea79f5f374f3ec,0xbfef2e9dd9270488,1 +np.float64,0x3fe0b5fe5b616bfc,0x3fe19512a36a4534,1 +np.float64,0xbfad7c622c3af8c0,0xbfad808fea96a804,1 +np.float64,0xbfe3e24dbce7c49c,0xbfe574b4c1ea9818,1 +np.float64,0xbfe80b038af01607,0xbfeb33fec279576a,1 +np.float64,0xbfef69e2ea7ed3c6,0xbff610a5593a18bc,1 +np.float64,0x3fdcc0bb39b98178,0x3fddd1f8c9a46430,1 +np.float64,0xbfba39976a347330,0xbfba4563bb5369a4,1 +np.float64,0xbfebf9768ef7f2ed,0xbff10548ab725f74,1 +np.float64,0xbfec21c066f84381,0xbff12f2803ba052f,1 +np.float64,0xbfca216a6b3442d4,0xbfca50c5e1e5748e,1 +np.float64,0x3fd5e40da4abc81c,0x3fd65783f9a22946,1 +np.float64,0x3fc235ca17246b98,0x3fc245a8f453173f,1 +np.float64,0x3fecb5b867796b70,0x3ff1d046a0bfda69,1 +np.float64,0x3fcb457fef368b00,0x3fcb7b6daa8165a7,1 +np.float64,0xbfa5ed6f7c2bdae0,0xbfa5ef27244e2e42,1 +np.float64,0x3fecf618a1f9ec32,0x3ff21a86cc104542,1 +np.float64,0x3fe9d95413f3b2a8,0x3fee178dcafa11fc,1 +np.float64,0xbfe93a5357f274a7,0xbfed0f9a565da84a,1 +np.float64,0xbfeb9e45ff773c8c,0xbff0a93cab8e258d,1 +np.float64,0x3fcbd9d0bd37b3a0,0x3fcc134e87cae241,1 +np.float64,0x3fe55d4db76aba9c,0x3fe764a0e028475a,1 +np.float64,0xbfc8a6fc71314df8,0xbfc8ceaafbfc59a7,1 +np.float64,0x3fe0615fa660c2c0,0x3fe1323611c4cbc2,1 +np.float64,0x3fb965558632cab0,0x3fb9700b84de20ab,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0x3fe76776c6eeceee,0x3fea40403e24a9f1,1 +np.float64,0x3fe3b7f672676fec,0x3fe53ece71a1a1b1,1 +np.float64,0xbfa9b82ba4337050,0xbfa9baf15394ca64,1 +np.float64,0xbfe31faf49663f5e,0xbfe47f31b1ca73dc,1 +np.float64,0xbfcc4c6beb3898d8,0xbfcc88c5f814b2c1,1 +np.float64,0x3fd481530aa902a8,0x3fd4df8df03bc155,1 +np.float64,0x3fd47593b8a8eb28,0x3fd4d327ab78a1a8,1 +np.float64,0x3fd70e6ccbae1cd8,0x3fd7962fe8b63d46,1 +np.float64,0x3fd25191f7a4a324,0x3fd2941623c88e02,1 +np.float64,0x3fd0603ef0a0c07c,0x3fd08f64e97588dc,1 +np.float64,0xbfc653bae52ca774,0xbfc6711e5e0d8ea9,1 +np.float64,0xbfd11db8fea23b72,0xbfd153b63c6e8812,1 +np.float64,0xbfea9bde25f537bc,0xbfef6b52268e139a,1 +np.float64,0x1,0x1,1 +np.float64,0xbfefd3806d7fa701,0xbff776dcef9583ca,1 +np.float64,0xbfe0fb8cfde1f71a,0xbfe1e6e2e774a8f8,1 +np.float64,0x3fea384534f4708a,0x3feebadaa389be0d,1 +np.float64,0x3feff761c97feec4,0x3ff866157b9d072d,1 +np.float64,0x3fe7131ccb6e263a,0x3fe9c58b4389f505,1 +np.float64,0x3fe9084f7872109e,0x3fecbed0355dbc8f,1 +np.float64,0x3f708e89e0211d00,0x3f708e8cd4946b9e,1 +np.float64,0xbfe39185f067230c,0xbfe50e1cd178244d,1 +np.float64,0x3fd67cc1a9acf984,0x3fd6fa514784b48c,1 +np.float64,0xbfecaef005f95de0,0xbff1c89c9c3ef94a,1 +np.float64,0xbfe12eec81e25dd9,0xbfe223a4285bba9a,1 +np.float64,0x3fbe7f9faa3cff40,0x3fbe92363525068d,1 +np.float64,0xbfe1950b2b632a16,0xbfe29d45fc1e4ce9,1 +np.float64,0x3fe45049e6e8a094,0x3fe6020de759e383,1 +np.float64,0x3fe4d10c8969a21a,0x3fe6aa1fe42cbeb9,1 +np.float64,0xbfe9d04658f3a08d,0xbfee08370a0dbf0c,1 +np.float64,0x3fe14fb314e29f66,0x3fe24a8d73663521,1 +np.float64,0xbfef4abfe4fe9580,0xbff5c2c1ff1250ca,1 +np.float64,0xbfe6162b366c2c56,0xbfe86073ac3c6243,1 +np.float64,0x3feffe781e7ffcf0,0x3ff8d2cbedd6a1b5,1 +np.float64,0xbff0000000000000,0xbff921fb54442d18,1 +np.float64,0x3fc1dc45ad23b888,0x3fc1eb3d9bddda58,1 +np.float64,0xbfe793f6fcef27ee,0xbfea81c93d65aa64,1 +np.float64,0x3fdef6d2bbbdeda4,0x3fe029079d42efb5,1 +np.float64,0xbfdf0ac479be1588,0xbfe0346dbc95963f,1 +np.float64,0xbfd33927d7a67250,0xbfd38653f90a5b73,1 +np.float64,0xbfe248b072e49161,0xbfe37631ef6572e1,1 +np.float64,0xbfc8ceb6af319d6c,0xbfc8f7288657f471,1 +np.float64,0x3fdd7277fcbae4f0,0x3fde99886e6766ef,1 +np.float64,0xbfe0d30c6561a619,0xbfe1b72f90bf53d6,1 +np.float64,0xbfcb0fe07d361fc0,0xbfcb448e2eae9542,1 +np.float64,0xbfe351f57fe6a3eb,0xbfe4be13eef250f2,1 +np.float64,0x3fe85ec02cf0bd80,0x3febb407e2e52e4c,1 +np.float64,0x3fc8bc59b53178b0,0x3fc8e470f65800ec,1 +np.float64,0xbfd278d447a4f1a8,0xbfd2bd133c9c0620,1 +np.float64,0x3feda5cfd87b4ba0,0x3ff2f5ab4324f43f,1 +np.float64,0xbfd2b32a36a56654,0xbfd2fa09c36afd34,1 +np.float64,0xbfed4a81cb7a9504,0xbff28077a4f4fff4,1 +np.float64,0x3fdf079bf9be0f38,0x3fe0329f7fb13f54,1 +np.float64,0x3fd14097f6a28130,0x3fd177e9834ec23f,1 +np.float64,0xbfaeab11843d5620,0xbfaeafc5531eb6b5,1 +np.float64,0xbfac3f8c14387f20,0xbfac433893d53360,1 +np.float64,0xbfc139d7ed2273b0,0xbfc14743adbbe660,1 +np.float64,0x3fe78cb02cef1960,0x3fea7707f76edba9,1 +np.float64,0x3fefe16b41ffc2d6,0x3ff7bff36a7aa7b8,1 +np.float64,0x3fec5260d378a4c2,0x3ff162c588b0da38,1 +np.float64,0x3fedb146f17b628e,0x3ff304f90d3a15d1,1 +np.float64,0x3fd1fd45f7a3fa8c,0x3fd23c2dc3929e20,1 +np.float64,0x3fe0898a5ee11314,0x3fe1610c63e726eb,1 +np.float64,0x3fe7719946eee332,0x3fea4f205eecb59f,1 +np.float64,0x3fe955218972aa44,0x3fed3b530c1f7651,1 +np.float64,0x3fe0ccbf4461997e,0x3fe1afc7b4587836,1 +np.float64,0xbfe9204314f24086,0xbfece5605780e346,1 +np.float64,0xbfe552017feaa403,0xbfe755773cbd74d5,1 +np.float64,0x3fd8ce4b32b19c98,0x3fd9791c8dd44eae,1 +np.float64,0x3fef89acd9ff135a,0x3ff668f78adf7ced,1 +np.float64,0x3fc9d713ad33ae28,0x3fca04da6c293bbd,1 +np.float64,0xbfe22d9c4de45b38,0xbfe3553effadcf92,1 +np.float64,0x3fa5cda38c2b9b40,0x3fa5cf53c5787482,1 +np.float64,0x3fa878ebdc30f1e0,0x3fa87b4f2bf1d4c3,1 +np.float64,0x3fe8030353700606,0x3feb27e196928789,1 +np.float64,0x3fb50607222a0c10,0x3fb50c188ce391e6,1 +np.float64,0x3fd9ba4ab4b37494,0x3fda79fa8bd40f45,1 +np.float64,0x3fb564598e2ac8b0,0x3fb56abe42d1ba13,1 +np.float64,0xbfd1177c83a22efa,0xbfd14d3d7ef30cc4,1 +np.float64,0xbfd952cec7b2a59e,0xbfda09215d17c0ac,1 +np.float64,0x3fe1d8066663b00c,0x3fe2edb35770b8dd,1 +np.float64,0xbfc89427a3312850,0xbfc8bb7a7c389497,1 +np.float64,0xbfe86ebfd3f0dd80,0xbfebccc2ba0f506c,1 +np.float64,0x3fc390578b2720b0,0x3fc3a40cb7f5f728,1 +np.float64,0xbfd122f9b8a245f4,0xbfd15929dc57a897,1 +np.float64,0x3f8d0636d03a0c80,0x3f8d06767de576df,1 +np.float64,0xbfe4b55d8b696abb,0xbfe685be537a9637,1 +np.float64,0xbfdfd51cf9bfaa3a,0xbfe0a894fcff0c76,1 +np.float64,0xbfd37c1f52a6f83e,0xbfd3cc9593c37aad,1 +np.float64,0x3fd0e8283ea1d050,0x3fd11c25c800785a,1 +np.float64,0x3fd3160784a62c10,0x3fd36183a6c2880c,1 +np.float64,0x3fd4c66e57a98cdc,0x3fd5288fe3394eff,1 +np.float64,0x3fee2f7e3afc5efc,0x3ff3b8063eb30cdc,1 +np.float64,0xbfe526773a6a4cee,0xbfe71b4364215b18,1 +np.float64,0x3fea01181e740230,0x3fee5b65eccfd130,1 +np.float64,0xbfe51c03f76a3808,0xbfe70d5919d37587,1 +np.float64,0x3fd97e1375b2fc28,0x3fda3845da40b22b,1 +np.float64,0x3fd5c14a14ab8294,0x3fd632890d07ed03,1 +np.float64,0xbfec9b474279368e,0xbff1b28f50584fe3,1 +np.float64,0x3fe0139ca860273a,0x3fe0d7fc377f001c,1 +np.float64,0x3fdb080c9db61018,0x3fdbe85056358fa0,1 +np.float64,0xbfdd72ceb1bae59e,0xbfde99ea171661eb,1 +np.float64,0xbfe64e934fec9d26,0xbfe8aec2ef24be63,1 +np.float64,0x3fd1036a93a206d4,0x3fd1386adabe01bd,1 +np.float64,0x3febc9d4a5f793aa,0x3ff0d4c069f1e67d,1 +np.float64,0xbfe547a16fea8f43,0xbfe747902fe6fb4d,1 +np.float64,0x3fc289b0f9251360,0x3fc29a709de6bdd9,1 +np.float64,0xbfe694494a6d2892,0xbfe9108f3dc133e2,1 +np.float64,0x3fd827dfe4b04fc0,0x3fd8c4fe40532b91,1 +np.float64,0xbfe8b89418f17128,0xbfec400c5a334b2e,1 +np.float64,0x3fed5605147aac0a,0x3ff28ed1f612814a,1 +np.float64,0xbfed36af31fa6d5e,0xbff26804e1f71af0,1 +np.float64,0x3fdbb01c02b76038,0x3fdca2381558bbf0,1 +np.float64,0x3fe2a951666552a2,0x3fe3ec88f780f9e6,1 +np.float64,0x3fe662defbecc5be,0x3fe8cb1dbfca98ab,1 +np.float64,0x3fd098b1b3a13164,0x3fd0c9d064e4eaf2,1 +np.float64,0x3fefa10edeff421e,0x3ff6b1c6187b18a8,1 +np.float64,0xbfec4feb7a789fd7,0xbff16021ef37a219,1 +np.float64,0x3fd8e415bbb1c82c,0x3fd990c1f8b786bd,1 +np.float64,0xbfead5a09275ab41,0xbfefd44fab5b4f6e,1 +np.float64,0xbfe8666c16f0ccd8,0xbfebbfe0c9f2a9ae,1 +np.float64,0x3fdc962132b92c44,0x3fdda2525a6f406c,1 +np.float64,0xbfe2037f03e406fe,0xbfe3222ec2a3449e,1 +np.float64,0xbfec82c27e790585,0xbff197626ea9df1e,1 +np.float64,0x3fd2b4e03ca569c0,0x3fd2fbd3c7fda23e,1 +np.float64,0xbfe9b0dee5f361be,0xbfedd34f6d3dfe8a,1 +np.float64,0x3feef45cd17de8ba,0x3ff508180687b591,1 +np.float64,0x3f82c39bf0258700,0x3f82c3ad24c3b3f1,1 +np.float64,0xbfca848cfd350918,0xbfcab612ce258546,1 +np.float64,0x3fd6442aaaac8854,0x3fd6bdea54016e48,1 +np.float64,0x3fe550799e6aa0f4,0x3fe75369c9ea5b1e,1 +np.float64,0xbfe0e9d5a361d3ac,0xbfe1d20011139d89,1 +np.float64,0x3fbfc9ff1e3f9400,0x3fbfdf0ea6885c80,1 +np.float64,0xbfa187e8b4230fd0,0xbfa188c95072092e,1 +np.float64,0x3fcd28c9533a5190,0x3fcd6ae879c21b47,1 +np.float64,0x3fc6227ec52c4500,0x3fc63f1fbb441d29,1 +np.float64,0x3fe9b7a2ed736f46,0x3feddeab49b2d176,1 +np.float64,0x3fd4aee93da95dd4,0x3fd50fb3b71e0339,1 +np.float64,0xbfe164dacf62c9b6,0xbfe263bb2f7dd5d9,1 +np.float64,0x3fec62e525f8c5ca,0x3ff17496416d9921,1 +np.float64,0x3fdd363ee0ba6c7c,0x3fde55c6a49a5f86,1 +np.float64,0x3fe65cbf75ecb97e,0x3fe8c28d31ff3ebd,1 +np.float64,0xbfe76d27ca6eda50,0xbfea4899e3661425,1 +np.float64,0xbfc305738d260ae8,0xbfc3178dcfc9d30f,1 +np.float64,0xbfd3aa2a54a75454,0xbfd3fcf1e1ce8328,1 +np.float64,0x3fd1609fc9a2c140,0x3fd1992efa539b9f,1 +np.float64,0xbfac1291bc382520,0xbfac162cc7334b4d,1 +np.float64,0xbfedb461ea7b68c4,0xbff309247850455d,1 +np.float64,0xbfe8d2adf8f1a55c,0xbfec6947be90ba92,1 +np.float64,0xbfd7128965ae2512,0xbfd79a9855bcfc5a,1 +np.float64,0x3fe8deb09471bd62,0x3fec7c56b3aee531,1 +np.float64,0xbfe5f4d329ebe9a6,0xbfe8327ea8189af8,1 +np.float64,0xbfd3b46ac9a768d6,0xbfd407b80b12ff17,1 +np.float64,0x3fec899d7cf9133a,0x3ff19ef26baca36f,1 +np.float64,0xbfec192fd5783260,0xbff126306e507fd0,1 +np.float64,0x3fe945bdaef28b7c,0x3fed222f787310bf,1 +np.float64,0xbfeff9635d7ff2c7,0xbff87d6773f318eb,1 +np.float64,0xbfd604b81cac0970,0xbfd67a4aa852559a,1 +np.float64,0x3fcd1cc9d53a3990,0x3fcd5e962e237c24,1 +np.float64,0xbfed77b0fffaef62,0xbff2b97a1c9b6483,1 +np.float64,0xbfc9c69325338d28,0xbfc9f401500402fb,1 +np.float64,0xbfdf97e246bf2fc4,0xbfe0855601ea9db3,1 +np.float64,0x3fc7e6304f2fcc60,0x3fc80a4e718504cd,1 +np.float64,0x3fec3b599e7876b4,0x3ff14a2d1b9c68e6,1 +np.float64,0xbfe98618e1f30c32,0xbfed8bfbb31c394a,1 +np.float64,0xbfe59b3c0feb3678,0xbfe7b832d6df81de,1 +np.float64,0xbfe54ce2fe6a99c6,0xbfe74e9a85be4116,1 +np.float64,0x3fc9db49cb33b690,0x3fca092737ef500a,1 +np.float64,0xbfb4a922ae295248,0xbfb4aee4e39078a9,1 +np.float64,0xbfd0e542e0a1ca86,0xbfd11925208d66af,1 +np.float64,0x3fd70543f2ae0a88,0x3fd78c5e9238a3ee,1 +np.float64,0x3fd67f7a7facfef4,0x3fd6fd3998df8545,1 +np.float64,0xbfe40b643d6816c8,0xbfe5a947e427f298,1 +np.float64,0xbfcd85f69b3b0bec,0xbfcdcaa24b75f1a3,1 +np.float64,0x3fec705fb4f8e0c0,0x3ff1833c82163ee2,1 +np.float64,0x3fb37650ea26eca0,0x3fb37b20c16fb717,1 +np.float64,0x3fe5ebfa55ebd7f4,0x3fe826578d716e70,1 +np.float64,0x3fe991dfe5f323c0,0x3fed9f8a4bf1f588,1 +np.float64,0xbfd658bd0aacb17a,0xbfd6d3dd06e54900,1 +np.float64,0xbfc24860252490c0,0xbfc258701a0b9290,1 +np.float64,0xbfefb8d763ff71af,0xbff705b6ea4a569d,1 +np.float64,0x3fb8fcb4ae31f970,0x3fb906e809e7899f,1 +np.float64,0x3fce6343cb3cc688,0x3fceae41d1629625,1 +np.float64,0xbfd43d5a11a87ab4,0xbfd497da25687e07,1 +np.float64,0xbfe9568851f2ad11,0xbfed3d9e5fe83a76,1 +np.float64,0x3fe1b66153e36cc2,0x3fe2c53c7e016271,1 +np.float64,0x3fef27452bfe4e8a,0x3ff571b3486ed416,1 +np.float64,0x3fca87c0a7350f80,0x3fcab958a7bb82d4,1 +np.float64,0xbfd8776a8fb0eed6,0xbfd91afaf2f50edf,1 +np.float64,0x3fe9522a76f2a454,0x3fed3679264e1525,1 +np.float64,0x3fea14ff2cf429fe,0x3fee7da6431cc316,1 +np.float64,0x3fe970618bf2e0c4,0x3fed68154d54dd97,1 +np.float64,0x3fd3410cfca68218,0x3fd38e9b21792240,1 +np.float64,0xbf6a8070c0350100,0xbf6a8073c7c34517,1 +np.float64,0xbfbe449de23c8938,0xbfbe56c8e5e4d98b,1 +np.float64,0x3fedbc92e27b7926,0x3ff314313216d8e6,1 +np.float64,0xbfe3be4706677c8e,0xbfe546d3ceb85aea,1 +np.float64,0x3fe30cd6d76619ae,0x3fe467b6f2664a8d,1 +np.float64,0x3fd7d69b21afad38,0x3fd86d54284d05ad,1 +np.float64,0xbfe501001fea0200,0xbfe6e978afcff4d9,1 +np.float64,0xbfe44ba3d8e89748,0xbfe5fc0a31cd1e3e,1 +np.float64,0x3fec52f7c078a5f0,0x3ff16367acb209b2,1 +np.float64,0xbfcb19efcb3633e0,0xbfcb4ed9235a7d47,1 +np.float64,0xbfab86796c370cf0,0xbfab89df7bf15710,1 +np.float64,0xbfb962feda32c600,0xbfb96db1e1679c98,1 +np.float64,0x3fe0dd14e861ba2a,0x3fe1c2fc72810567,1 +np.float64,0x3fe41bcc6de83798,0x3fe5be59b7f9003b,1 +np.float64,0x3fc82f4c4f305e98,0x3fc854bd9798939f,1 +np.float64,0xbfcd143a613a2874,0xbfcd55cbd1619d84,1 +np.float64,0xbfd52da61baa5b4c,0xbfd595d0b3543439,1 +np.float64,0xbfb71b4a8e2e3698,0xbfb7235a4ab8432f,1 +np.float64,0xbfec141a19782834,0xbff120e1e39fc856,1 +np.float64,0xbfdba9319db75264,0xbfdc9a8ca2578bb2,1 +np.float64,0xbfbce5d74639cbb0,0xbfbcf5a4878cfa51,1 +np.float64,0x3fde67f7b3bccff0,0x3fdfaf45a9f843ad,1 +np.float64,0xbfe12d87bc625b10,0xbfe221fd4476eb71,1 +np.float64,0x3fe35b8f6be6b71e,0x3fe4ca20f65179e1,1 +np.float64,0xbfdbada1d3b75b44,0xbfdc9f78b19f93d1,1 +np.float64,0xbfc60159c52c02b4,0xbfc61d79b879f598,1 +np.float64,0x3fd6b81c38ad7038,0x3fd739c27bfa16d8,1 +np.float64,0xbfd646a253ac8d44,0xbfd6c08c19612bbb,1 +np.float64,0xbfe6babef0ed757e,0xbfe94703d0bfa311,1 +np.float64,0xbfed5671f1faace4,0xbff28f5a3f3683d0,1 +np.float64,0x3fc01d1e85203a40,0x3fc02817ec0dfd38,1 +np.float64,0xbfe9188a61f23115,0xbfecd8eb5da84223,1 +np.float64,0x3fdca3bab9b94774,0x3fddb1868660c239,1 +np.float64,0xbfa255750c24aaf0,0xbfa25675f7b36343,1 +np.float64,0x3fb3602db626c060,0x3fb364ed2d5b2876,1 +np.float64,0xbfd30a14bda6142a,0xbfd354ff703b8862,1 +np.float64,0xbfe1cfe381639fc7,0xbfe2e3e720b968c8,1 +np.float64,0xbfd2af6a4fa55ed4,0xbfd2f61e190bcd1f,1 +np.float64,0xbfe93c50937278a1,0xbfed12d64bb10d73,1 +np.float64,0x3fddd8bc44bbb178,0x3fdf0ced7f9005cc,1 +np.float64,0x3fdb2bc73cb65790,0x3fdc0fc0e18e425e,1 +np.float64,0xbfd073f6aba0e7ee,0xbfd0a3cb5468a961,1 +np.float64,0x3fed4bad7b7a975a,0x3ff281ebeb75e414,1 +np.float64,0xbfdc75b50bb8eb6a,0xbfdd7e1a7631cb22,1 +np.float64,0x3fd458a90fa8b154,0x3fd4b4a5817248ce,1 +np.float64,0x3feead5db57d5abc,0x3ff484286fab55ff,1 +np.float64,0x3fb3894382271280,0x3fb38e217b4e7905,1 +np.float64,0xffefffffffffffff,0x7ff8000000000000,1 +np.float64,0xbfe428212ae85042,0xbfe5ce36f226bea8,1 +np.float64,0xbfc08b39f7211674,0xbfc0971b93ebc7ad,1 +np.float64,0xbfc2e7cf5525cfa0,0xbfc2f994eb72b623,1 +np.float64,0xbfdb0d85afb61b0c,0xbfdbee5a2de3c5db,1 +np.float64,0xfff0000000000000,0x7ff8000000000000,1 +np.float64,0xbfd0d36af7a1a6d6,0xbfd106a5f05ef6ff,1 +np.float64,0xbfc333d0912667a0,0xbfc3467162b7289a,1 +np.float64,0x3fcdababc53b5758,0x3fcdf16458c20fa8,1 +np.float64,0x3fd0821b38a10438,0x3fd0b26e3e0b9185,1 +np.float64,0x0,0x0,1 +np.float64,0x3feb7f70edf6fee2,0x3ff08ae81854bf20,1 +np.float64,0x3fe6e075716dc0ea,0x3fe97cc5254be6ff,1 +np.float64,0x3fea13b682f4276e,0x3fee7b6f18073b5b,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arcsinh.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arcsinh.csv new file mode 100644 index 0000000000000000000000000000000000000000..9eedb1a13f03dc5deade22dad00fcc797d2dd248 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arcsinh.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xbf24142a,0xbf1a85ef,2 +np.float32,0x3e71cf91,0x3e6f9e37,2 +np.float32,0xe52a7,0xe52a7,2 +np.float32,0x3ef1e074,0x3ee9add9,2 +np.float32,0x806160ac,0x806160ac,2 +np.float32,0x7e2d59a2,0x42af4798,2 +np.float32,0xbf32cac9,0xbf26bf96,2 +np.float32,0x3f081701,0x3f026142,2 +np.float32,0x3f23cc88,0x3f1a499c,2 +np.float32,0xbf090d94,0xbf033ad0,2 +np.float32,0x803af2fc,0x803af2fc,2 +np.float32,0x807eb17e,0x807eb17e,2 +np.float32,0x5c0d8e,0x5c0d8e,2 +np.float32,0x3f7b79d2,0x3f5e6b1d,2 +np.float32,0x806feeae,0x806feeae,2 +np.float32,0x3e4b423a,0x3e49f274,2 +np.float32,0x3f49e5ac,0x3f394a41,2 +np.float32,0x3f18cd4e,0x3f10ef35,2 +np.float32,0xbed75734,0xbed17322,2 +np.float32,0x7f591151,0x42b28085,2 +np.float32,0xfefe9da6,0xc2b16f51,2 +np.float32,0xfeac90fc,0xc2b0a82a,2 +np.float32,0x805c198e,0x805c198e,2 +np.float32,0x7f66d6df,0x42b2a004,2 +np.float32,0x505438,0x505438,2 +np.float32,0xbf39a209,0xbf2c5255,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0xc84cb,0xc84cb,2 +np.float32,0x7f07d6f5,0x42b19088,2 +np.float32,0x79d7e4,0x79d7e4,2 +np.float32,0xff32f6a0,0xc2b21db1,2 +np.float32,0x7c005c05,0x42a9222e,2 +np.float32,0x3ec449aa,0x3ebfc5ae,2 +np.float32,0x800ec323,0x800ec323,2 +np.float32,0xff1c904c,0xc2b1d93a,2 +np.float32,0x7f4eca52,0x42b267b0,2 +np.float32,0x3ee06540,0x3ed9c514,2 +np.float32,0x6aab4,0x6aab4,2 +np.float32,0x3e298d8c,0x3e28c99e,2 +np.float32,0xbf38d162,0xbf2ba94a,2 +np.float32,0x2d9083,0x2d9083,2 +np.float32,0x7eae5032,0x42b0ad52,2 +np.float32,0x3ead5b3c,0x3eaa3443,2 +np.float32,0x806fef66,0x806fef66,2 +np.float32,0x3f5b614e,0x3f46ca71,2 +np.float32,0xbf4c906a,0xbf3b60fc,2 +np.float32,0x8049453e,0x8049453e,2 +np.float32,0x3d305220,0x3d304432,2 +np.float32,0x2e1a89,0x2e1a89,2 +np.float32,0xbf4e74ec,0xbf3cdacf,2 +np.float32,0x807a827a,0x807a827a,2 +np.float32,0x80070745,0x80070745,2 +np.float32,0xbe1ba2fc,0xbe1b0b28,2 +np.float32,0xbe5131d0,0xbe4fc421,2 +np.float32,0x5bfd98,0x5bfd98,2 +np.float32,0xbd8e1a48,0xbd8dfd27,2 +np.float32,0x8006c160,0x8006c160,2 +np.float32,0x346490,0x346490,2 +np.float32,0xbdbdf060,0xbdbdaaf0,2 +np.float32,0x3ea9d0c4,0x3ea6d8c7,2 +np.float32,0xbf2aaa28,0xbf200916,2 +np.float32,0xbf160c26,0xbf0e9047,2 +np.float32,0x80081fd4,0x80081fd4,2 +np.float32,0x7db44283,0x42adf8b6,2 +np.float32,0xbf1983f8,0xbf118bf5,2 +np.float32,0x2c4a35,0x2c4a35,2 +np.float32,0x6165a7,0x6165a7,2 +np.float32,0xbe776b44,0xbe75129f,2 +np.float32,0xfe81841a,0xc2b0153b,2 +np.float32,0xbf7d1b2f,0xbf5f9461,2 +np.float32,0x80602d36,0x80602d36,2 +np.float32,0xfe8d5046,0xc2b041dd,2 +np.float32,0xfe5037bc,0xc2afa56d,2 +np.float32,0x4bbea6,0x4bbea6,2 +np.float32,0xfea039de,0xc2b0822d,2 +np.float32,0x7ea627a4,0x42b094c7,2 +np.float32,0x3f556198,0x3f423591,2 +np.float32,0xfedbae04,0xc2b123c1,2 +np.float32,0xbe30432c,0xbe2f6744,2 +np.float32,0x80202c77,0x80202c77,2 +np.float32,0xff335cc1,0xc2b21ed5,2 +np.float32,0x3e1e1ebe,0x3e1d7f95,2 +np.float32,0x8021c9c0,0x8021c9c0,2 +np.float32,0x7dc978,0x7dc978,2 +np.float32,0xff6cfabc,0xc2b2ad75,2 +np.float32,0x7f2bd542,0x42b208e0,2 +np.float32,0x53bf33,0x53bf33,2 +np.float32,0x804e04bb,0x804e04bb,2 +np.float32,0x3f30d2f9,0x3f2521ca,2 +np.float32,0x3dfde876,0x3dfd4316,2 +np.float32,0x46f8b1,0x46f8b1,2 +np.float32,0xbd5f9e20,0xbd5f81ba,2 +np.float32,0x807d6a22,0x807d6a22,2 +np.float32,0xff3881da,0xc2b22d50,2 +np.float32,0x1b1cb5,0x1b1cb5,2 +np.float32,0x3f75f2d0,0x3f5a7435,2 +np.float32,0xfee39c1a,0xc2b135e9,2 +np.float32,0x7f79f14a,0x42b2c8b9,2 +np.float32,0x8000e2d1,0x8000e2d1,2 +np.float32,0xab779,0xab779,2 +np.float32,0xbede6690,0xbed7f102,2 +np.float32,0x76e20d,0x76e20d,2 +np.float32,0x3ed714cb,0x3ed135e9,2 +np.float32,0xbeaa6f44,0xbea76f31,2 +np.float32,0x7f7dc8b1,0x42b2d089,2 +np.float32,0x108cb2,0x108cb2,2 +np.float32,0x7d37ba82,0x42ac9f94,2 +np.float32,0x3f31d068,0x3f25f221,2 +np.float32,0x8010a331,0x8010a331,2 +np.float32,0x3f2fdc7c,0x3f2456cd,2 +np.float32,0x7f7a9a67,0x42b2ca13,2 +np.float32,0x3f2acb31,0x3f202492,2 +np.float32,0x7f54fa94,0x42b276c9,2 +np.float32,0x3ebf8a70,0x3ebb553c,2 +np.float32,0x7f75b1a7,0x42b2bff2,2 +np.float32,0x7daebe07,0x42ade8cc,2 +np.float32,0xbd3a3ef0,0xbd3a2e86,2 +np.float32,0x8078ec9e,0x8078ec9e,2 +np.float32,0x3eda206a,0x3ed403ec,2 +np.float32,0x3f7248f2,0x3f57cd77,2 +np.float32,0x805d55ba,0x805d55ba,2 +np.float32,0xff30dc3e,0xc2b217a3,2 +np.float32,0xbe12b27c,0xbe123333,2 +np.float32,0xbf6ed9cf,0xbf554cd0,2 +np.float32,0xbed9eb5c,0xbed3d31c,2 +np.float32,0xbf1c9aea,0xbf14307b,2 +np.float32,0x3f540ac4,0x3f412de2,2 +np.float32,0x800333ac,0x800333ac,2 +np.float32,0x3f74cdb4,0x3f59a09a,2 +np.float32,0xbf41dc41,0xbf32ee6f,2 +np.float32,0xff2c7804,0xc2b20ac4,2 +np.float32,0x514493,0x514493,2 +np.float32,0xbddf1220,0xbddea1cf,2 +np.float32,0xfeaf74de,0xc2b0b0ab,2 +np.float32,0xfe5dfb30,0xc2afc633,2 +np.float32,0xbf4785c4,0xbf376bdb,2 +np.float32,0x80191cd3,0x80191cd3,2 +np.float32,0xfe44f708,0xc2af88fb,2 +np.float32,0x3d4cd8a0,0x3d4cc2ca,2 +np.float32,0x7f572eff,0x42b27c0f,2 +np.float32,0x8031bacb,0x8031bacb,2 +np.float32,0x7f2ea684,0x42b21133,2 +np.float32,0xbea1976a,0xbe9f05bb,2 +np.float32,0x3d677b41,0x3d675bc1,2 +np.float32,0x3f61bf24,0x3f4b9870,2 +np.float32,0x7ef55ddf,0x42b15c5f,2 +np.float32,0x3eabcb20,0x3ea8b91c,2 +np.float32,0xff73d9ec,0xc2b2bc18,2 +np.float32,0x77b9f5,0x77b9f5,2 +np.float32,0x4c6c6c,0x4c6c6c,2 +np.float32,0x7ed09c94,0x42b10949,2 +np.float32,0xdeeec,0xdeeec,2 +np.float32,0x7eac5858,0x42b0a782,2 +np.float32,0x7e190658,0x42af07bd,2 +np.float32,0xbe3c8980,0xbe3b7ce2,2 +np.float32,0x8059e86e,0x8059e86e,2 +np.float32,0xff201836,0xc2b1e4a5,2 +np.float32,0xbeac109c,0xbea8fafb,2 +np.float32,0x7edd1e2b,0x42b12718,2 +np.float32,0x639cd8,0x639cd8,2 +np.float32,0x3f5e4cae,0x3f490059,2 +np.float32,0x3d84c185,0x3d84a9c4,2 +np.float32,0xbe8c1130,0xbe8a605b,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0x3f1da5e4,0x3f151404,2 +np.float32,0x7f75a873,0x42b2bfdf,2 +np.float32,0xbd873540,0xbd871c28,2 +np.float32,0xbe8e5e10,0xbe8c9808,2 +np.float32,0x7f004bf2,0x42b17347,2 +np.float32,0x800000,0x800000,2 +np.float32,0xbf6d6b79,0xbf544095,2 +np.float32,0x7ed7b563,0x42b11a6a,2 +np.float32,0x80693745,0x80693745,2 +np.float32,0x3ee0f608,0x3eda49a8,2 +np.float32,0xfe1285a4,0xc2aef181,2 +np.float32,0x72d946,0x72d946,2 +np.float32,0x6a0dca,0x6a0dca,2 +np.float32,0x3f5c9df6,0x3f47ba99,2 +np.float32,0xff002af6,0xc2b172c4,2 +np.float32,0x3f4ac98f,0x3f39fd0a,2 +np.float32,0x8066acf7,0x8066acf7,2 +np.float32,0xbcaa4e60,0xbcaa4b3c,2 +np.float32,0x80162813,0x80162813,2 +np.float32,0xff34b318,0xc2b222a2,2 +np.float32,0x7f1ce33c,0x42b1da49,2 +np.float32,0x3f0e55ab,0x3f07ddb0,2 +np.float32,0x7c75d996,0x42aa6eec,2 +np.float32,0xbf221bc6,0xbf18dc89,2 +np.float32,0x3f5a1a4c,0x3f45d1d4,2 +np.float32,0x7f2451b8,0x42b1f1fb,2 +np.float32,0x3ec55ca0,0x3ec0c655,2 +np.float32,0x3f752dc2,0x3f59e600,2 +np.float32,0xbe33f638,0xbe330c4d,2 +np.float32,0x3e2a9148,0x3e29c9d8,2 +np.float32,0x3f3362a1,0x3f273c01,2 +np.float32,0x5f83b3,0x5f83b3,2 +np.float32,0x3e362488,0x3e353216,2 +np.float32,0x140bcf,0x140bcf,2 +np.float32,0x7e3e96df,0x42af7822,2 +np.float32,0xbebc7082,0xbeb86ce6,2 +np.float32,0xbe92a92e,0xbe90b9d2,2 +np.float32,0xff3d8afc,0xc2b23b19,2 +np.float32,0x804125e3,0x804125e3,2 +np.float32,0x3f3675d1,0x3f29bedb,2 +np.float32,0xff70bb09,0xc2b2b57f,2 +np.float32,0x3f29681c,0x3f1efcd2,2 +np.float32,0xbdc70380,0xbdc6b3a8,2 +np.float32,0x54e0dd,0x54e0dd,2 +np.float32,0x3d545de0,0x3d54458c,2 +np.float32,0x7f800000,0x7f800000,2 +np.float32,0x8014a4c2,0x8014a4c2,2 +np.float32,0xbe93f58a,0xbe91f938,2 +np.float32,0x17de33,0x17de33,2 +np.float32,0xfefb679a,0xc2b168d2,2 +np.float32,0xbf23423e,0xbf19d511,2 +np.float32,0x7e893fa1,0x42b032ec,2 +np.float32,0x3f44fe2d,0x3f356bda,2 +np.float32,0xbebb2e78,0xbeb73e8f,2 +np.float32,0x3f5632e0,0x3f42d633,2 +np.float32,0x3ddd8698,0x3ddd1896,2 +np.float32,0x80164ea7,0x80164ea7,2 +np.float32,0x80087b37,0x80087b37,2 +np.float32,0xbf06ab1e,0xbf011f95,2 +np.float32,0x3db95524,0x3db9149f,2 +np.float32,0x7aa1fbb3,0x42a570a1,2 +np.float32,0xbd84fc48,0xbd84e467,2 +np.float32,0x3d65c6f5,0x3d65a826,2 +np.float32,0xfe987800,0xc2b068c4,2 +np.float32,0x7ec59532,0x42b0ed7a,2 +np.float32,0x3ea0232c,0x3e9da29a,2 +np.float32,0x80292a08,0x80292a08,2 +np.float32,0x734cfe,0x734cfe,2 +np.float32,0x3f3b6d63,0x3f2dc596,2 +np.float32,0x3f27bcc1,0x3f1d97e6,2 +np.float32,0xfe1da554,0xc2af16f9,2 +np.float32,0x7c91f5,0x7c91f5,2 +np.float32,0xfe4e78cc,0xc2afa11e,2 +np.float32,0x7e4b4e08,0x42af9933,2 +np.float32,0xfe0949ec,0xc2aed02e,2 +np.float32,0x7e2f057f,0x42af4c81,2 +np.float32,0xbf200ae0,0xbf171ce1,2 +np.float32,0x3ebcc244,0x3eb8b99e,2 +np.float32,0xbf68f58d,0xbf50f7aa,2 +np.float32,0x4420b1,0x4420b1,2 +np.float32,0x3f5b61bf,0x3f46cac7,2 +np.float32,0x3fec78,0x3fec78,2 +np.float32,0x7f4183c8,0x42b245b7,2 +np.float32,0xbf10587c,0xbf099ee2,2 +np.float32,0x0,0x0,2 +np.float32,0x7ec84dc3,0x42b0f47a,2 +np.float32,0x3f5fbd7b,0x3f4a166d,2 +np.float32,0xbd884eb8,0xbd883502,2 +np.float32,0xfe3f10a4,0xc2af7969,2 +np.float32,0xff3f4920,0xc2b23fc9,2 +np.float32,0x8013900f,0x8013900f,2 +np.float32,0x8003529d,0x8003529d,2 +np.float32,0xbf032384,0xbefbfb3c,2 +np.float32,0xff418c7c,0xc2b245ce,2 +np.float32,0xbec0aad0,0xbebc633b,2 +np.float32,0xfdbff178,0xc2ae18de,2 +np.float32,0x68ab15,0x68ab15,2 +np.float32,0xbdfc4a88,0xbdfba848,2 +np.float32,0xbf5adec6,0xbf466747,2 +np.float32,0x807d5dcc,0x807d5dcc,2 +np.float32,0x61d144,0x61d144,2 +np.float32,0x807e3a03,0x807e3a03,2 +np.float32,0x1872f2,0x1872f2,2 +np.float32,0x7f2a272c,0x42b203d8,2 +np.float32,0xfe7f8314,0xc2b00e3a,2 +np.float32,0xbe42aeac,0xbe418737,2 +np.float32,0x8024b614,0x8024b614,2 +np.float32,0xbe41b6b8,0xbe40939a,2 +np.float32,0xa765c,0xa765c,2 +np.float32,0x7ea74f4b,0x42b09853,2 +np.float32,0x7f7ef631,0x42b2d2e7,2 +np.float32,0x7eaef5e6,0x42b0af38,2 +np.float32,0xff733d85,0xc2b2bacf,2 +np.float32,0x537ac0,0x537ac0,2 +np.float32,0xbeca4790,0xbec55b1d,2 +np.float32,0x80117314,0x80117314,2 +np.float32,0xfe958536,0xc2b05ec5,2 +np.float32,0x8066ecc2,0x8066ecc2,2 +np.float32,0xbf56baf3,0xbf433e82,2 +np.float32,0x1f7fd7,0x1f7fd7,2 +np.float32,0x3e942104,0x3e9222fc,2 +np.float32,0xfeaffe82,0xc2b0b23c,2 +np.float32,0xfe0e02b0,0xc2aee17e,2 +np.float32,0xbf800000,0xbf61a1b3,2 +np.float32,0x800b7e49,0x800b7e49,2 +np.float32,0x6c514f,0x6c514f,2 +np.float32,0xff800000,0xff800000,2 +np.float32,0x7f7d9a45,0x42b2d02b,2 +np.float32,0x800c9c69,0x800c9c69,2 +np.float32,0x274b14,0x274b14,2 +np.float32,0xbf4b22b0,0xbf3a42e2,2 +np.float32,0x63e5ae,0x63e5ae,2 +np.float32,0xbe18facc,0xbe186a90,2 +np.float32,0x7e137351,0x42aef4bd,2 +np.float32,0x80518ffd,0x80518ffd,2 +np.float32,0xbf0a8ffc,0xbf048f0d,2 +np.float32,0x841d,0x841d,2 +np.float32,0x7edfdc9e,0x42b12d69,2 +np.float32,0xfd1092b0,0xc2ac24de,2 +np.float32,0x7e2c9bdf,0x42af4566,2 +np.float32,0x7f7fffff,0x42b2d4fc,2 +np.float32,0x3f4954a6,0x3f38d853,2 +np.float32,0xbe83efd2,0xbe8284c3,2 +np.float32,0x800e8e02,0x800e8e02,2 +np.float32,0x78ad39,0x78ad39,2 +np.float32,0x7eb0f967,0x42b0b514,2 +np.float32,0xbe39aa94,0xbe38a9ee,2 +np.float32,0x80194e7b,0x80194e7b,2 +np.float32,0x3cf3a340,0x3cf39a0f,2 +np.float32,0x3ed3117a,0x3ecd8173,2 +np.float32,0x7f530b11,0x42b2721c,2 +np.float32,0xff756ba2,0xc2b2bf60,2 +np.float32,0x15ea25,0x15ea25,2 +np.float32,0x803cbb64,0x803cbb64,2 +np.float32,0x3f34722d,0x3f281a2c,2 +np.float32,0x3ddd88e0,0x3ddd1adb,2 +np.float32,0x3f54244c,0x3f41418b,2 +np.float32,0x3e0adb98,0x3e0a6f8b,2 +np.float32,0x80800000,0x80800000,2 +np.float32,0x58902b,0x58902b,2 +np.float32,0xfe3b50b8,0xc2af6f43,2 +np.float32,0xfe0846d0,0xc2aecc64,2 +np.float32,0xbe0299d0,0xbe023fd4,2 +np.float32,0x18dde6,0x18dde6,2 +np.float32,0x8039fe8b,0x8039fe8b,2 +np.float32,0x8015d179,0x8015d179,2 +np.float32,0x3f551322,0x3f41f947,2 +np.float32,0x2ab387,0x2ab387,2 +np.float32,0xbf7e311e,0xbf6059d0,2 +np.float32,0xbdba58a8,0xbdba1713,2 +np.float32,0xbf1d008a,0xbf148724,2 +np.float32,0xbf6b9c97,0xbf52ec98,2 +np.float32,0x802acf04,0x802acf04,2 +np.float32,0x1,0x1,2 +np.float32,0xbe9e16d6,0xbe9bade3,2 +np.float32,0xbf048a14,0xbefe78c7,2 +np.float32,0x7e432ad3,0x42af8449,2 +np.float32,0xbdcc7fe0,0xbdcc2944,2 +np.float32,0x6dfc27,0x6dfc27,2 +np.float32,0xfef6eed8,0xc2b15fa1,2 +np.float32,0xbeeff6e8,0xbee7f2e4,2 +np.float32,0x7e3a6ca8,0x42af6cd2,2 +np.float32,0xff2c82e8,0xc2b20ae4,2 +np.float32,0x3e9f8d74,0x3e9d13b0,2 +np.float32,0x7ea36191,0x42b08c29,2 +np.float32,0x7f734bed,0x42b2baed,2 +np.float32,0x7f2df96d,0x42b20f37,2 +np.float32,0x5036fd,0x5036fd,2 +np.float32,0x806eab38,0x806eab38,2 +np.float32,0xbe9db90e,0xbe9b5446,2 +np.float32,0xfeef6fac,0xc2b14fd9,2 +np.float32,0xc2bf7,0xc2bf7,2 +np.float32,0xff53ec3d,0xc2b2743d,2 +np.float32,0x7e837637,0x42b01cde,2 +np.float32,0xbefb5934,0xbef23662,2 +np.float32,0x3f6cec80,0x3f53e371,2 +np.float32,0x3e86e7de,0x3e85643f,2 +np.float32,0x3f09cb42,0x3f03e1ef,2 +np.float32,0xbec3d236,0xbebf5620,2 +np.float32,0xfedef246,0xc2b12b50,2 +np.float32,0xbf08d6a8,0xbf030a62,2 +np.float32,0x8036cbf9,0x8036cbf9,2 +np.float32,0x3f74d3e3,0x3f59a512,2 +np.float32,0x6a600c,0x6a600c,2 +np.float32,0xfd1295b0,0xc2ac2bf1,2 +np.float32,0xbeb61142,0xbeb26efa,2 +np.float32,0x80216556,0x80216556,2 +np.float32,0xbf1fa0f6,0xbf16c30a,2 +np.float32,0x3e0af8e1,0x3e0a8c90,2 +np.float32,0x80434709,0x80434709,2 +np.float32,0x49efd9,0x49efd9,2 +np.float32,0x7f7cce6c,0x42b2ce8f,2 +np.float32,0x6e5450,0x6e5450,2 +np.float32,0x7f0fc115,0x42b1ad86,2 +np.float32,0x632db0,0x632db0,2 +np.float32,0x3f6f4c2a,0x3f55a064,2 +np.float32,0x7ec4f273,0x42b0ebd3,2 +np.float32,0x61ae1e,0x61ae1e,2 +np.float32,0x5f47c4,0x5f47c4,2 +np.float32,0xbf3c8f62,0xbf2eaf54,2 +np.float32,0xfca38900,0xc2ab0113,2 +np.float32,0x3ec89d52,0x3ec3ce78,2 +np.float32,0xbe0e3f70,0xbe0dcb53,2 +np.float32,0x805d3156,0x805d3156,2 +np.float32,0x3eee33f8,0x3ee65a4e,2 +np.float32,0xbeda7e9a,0xbed45a90,2 +np.float32,0x7e2fac7b,0x42af4e69,2 +np.float32,0x7efd0e28,0x42b16c2c,2 +np.float32,0x3f0c7b17,0x3f063e46,2 +np.float32,0xbf395bec,0xbf2c198f,2 +np.float32,0xfdf1c3f8,0xc2ae8f05,2 +np.float32,0xbe11f4e4,0xbe117783,2 +np.float32,0x7eddc901,0x42b128a3,2 +np.float32,0x3f4bad09,0x3f3aaf33,2 +np.float32,0xfefb5d76,0xc2b168bd,2 +np.float32,0x3ed3a4cf,0x3ece09a3,2 +np.float32,0x7ec582e4,0x42b0ed4a,2 +np.float32,0x3dc2268a,0x3dc1dc64,2 +np.float32,0x3ef9b17c,0x3ef0b9c9,2 +np.float32,0x2748ac,0x2748ac,2 +np.float32,0xfed6a602,0xc2b117e4,2 +np.float32,0xbefc9c36,0xbef35832,2 +np.float32,0x7e0476,0x7e0476,2 +np.float32,0x804be1a0,0x804be1a0,2 +np.float32,0xbefbc1c2,0xbef2943a,2 +np.float32,0xbd4698f0,0xbd46850a,2 +np.float32,0x688627,0x688627,2 +np.float32,0x3f7f7685,0x3f61406f,2 +np.float32,0x827fb,0x827fb,2 +np.float32,0x3f503264,0x3f3e34fd,2 +np.float32,0x7f5458d1,0x42b27543,2 +np.float32,0x800ac01f,0x800ac01f,2 +np.float32,0x6188dd,0x6188dd,2 +np.float32,0x806ac0ba,0x806ac0ba,2 +np.float32,0xbe14493c,0xbe13c5cc,2 +np.float32,0x3f77542c,0x3f5b72ae,2 +np.float32,0xfeaacab6,0xc2b0a2df,2 +np.float32,0x7f2893d5,0x42b1ff15,2 +np.float32,0x66b528,0x66b528,2 +np.float32,0xbf653e24,0xbf4e3573,2 +np.float32,0x801a2853,0x801a2853,2 +np.float32,0x3f3d8c98,0x3f2f7b04,2 +np.float32,0xfdffbad8,0xc2aeabc5,2 +np.float32,0x3dd50f,0x3dd50f,2 +np.float32,0x3f325a4c,0x3f266353,2 +np.float32,0xfcc48ec0,0xc2ab5f3f,2 +np.float32,0x3e6f5b9a,0x3e6d3ae5,2 +np.float32,0x3dbcd62b,0x3dbc91ee,2 +np.float32,0xbf7458d9,0xbf594c1c,2 +np.float32,0xff5adb24,0xc2b284b9,2 +np.float32,0x807b246d,0x807b246d,2 +np.float32,0x3f800000,0x3f61a1b3,2 +np.float32,0x231a28,0x231a28,2 +np.float32,0xbdc66258,0xbdc61341,2 +np.float32,0x3c84b4b4,0x3c84b338,2 +np.float32,0xbf215894,0xbf183783,2 +np.float32,0xff4ee298,0xc2b267ec,2 +np.float32,0x801ef52e,0x801ef52e,2 +np.float32,0x1040b0,0x1040b0,2 +np.float32,0xff545582,0xc2b2753b,2 +np.float32,0x3f3b9dda,0x3f2decaf,2 +np.float32,0x730f99,0x730f99,2 +np.float32,0xff7fffff,0xc2b2d4fc,2 +np.float32,0xff24cc5e,0xc2b1f379,2 +np.float32,0xbe9b456a,0xbe98fc0b,2 +np.float32,0x188fb,0x188fb,2 +np.float32,0x3f5c7ce2,0x3f47a18a,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0x806ea4da,0x806ea4da,2 +np.float32,0xfe810570,0xc2b01345,2 +np.float32,0x8036af89,0x8036af89,2 +np.float32,0x8043cec6,0x8043cec6,2 +np.float32,0x80342bb3,0x80342bb3,2 +np.float32,0x1a2bd4,0x1a2bd4,2 +np.float32,0x3f6248c2,0x3f4bff9a,2 +np.float32,0x8024eb35,0x8024eb35,2 +np.float32,0x7ea55872,0x42b09247,2 +np.float32,0x806d6e56,0x806d6e56,2 +np.float32,0x25c21a,0x25c21a,2 +np.float32,0x3f4e95f3,0x3f3cf483,2 +np.float32,0x15ca38,0x15ca38,2 +np.float32,0x803f01b2,0x803f01b2,2 +np.float32,0xbe731634,0xbe70dc10,2 +np.float32,0x3e80cee4,0x3e7ef933,2 +np.float32,0x3ef6dda5,0x3eee2e7b,2 +np.float32,0x3f3dfdc2,0x3f2fd5ed,2 +np.float32,0xff0492a7,0xc2b18411,2 +np.float32,0xbf1d0adf,0xbf148ff3,2 +np.float32,0xfcf75460,0xc2abd4e3,2 +np.float32,0x3f46fca6,0x3f36ffa6,2 +np.float32,0xbe63b5c0,0xbe61dfb3,2 +np.float32,0xff019bec,0xc2b1787d,2 +np.float32,0x801f14a9,0x801f14a9,2 +np.float32,0x3f176cfa,0x3f0fc051,2 +np.float32,0x3f69d976,0x3f51a015,2 +np.float32,0x3f4917cb,0x3f38a87a,2 +np.float32,0x3b2a0bea,0x3b2a0bdd,2 +np.float32,0xbf41d857,0xbf32eb50,2 +np.float32,0xbf08841a,0xbf02c18f,2 +np.float32,0x7ec86f14,0x42b0f4d0,2 +np.float32,0xbf7d15d1,0xbf5f9090,2 +np.float32,0xbd080550,0xbd07feea,2 +np.float32,0xbf6f1bef,0xbf557d26,2 +np.float32,0xfebc282c,0xc2b0d473,2 +np.float32,0x3e68d2f5,0x3e66dd03,2 +np.float32,0x3f3ed8fe,0x3f3085d5,2 +np.float32,0xff2f78ae,0xc2b2139a,2 +np.float32,0xff647a70,0xc2b29ac1,2 +np.float32,0xfd0859a0,0xc2ac06e2,2 +np.float32,0x3ea578a8,0x3ea2b7e1,2 +np.float32,0x6c58c6,0x6c58c6,2 +np.float32,0xff23f26a,0xc2b1f0d2,2 +np.float32,0x800902a4,0x800902a4,2 +np.float32,0xfe8ba64e,0xc2b03bcd,2 +np.float32,0x3f091143,0x3f033e0f,2 +np.float32,0x8017c4bd,0x8017c4bd,2 +np.float32,0xbf708fd4,0xbf568c8c,2 +np.float32,0x3be1d8,0x3be1d8,2 +np.float32,0x80091f07,0x80091f07,2 +np.float32,0x68eabe,0x68eabe,2 +np.float32,0xfe9ab2c8,0xc2b07033,2 +np.float32,0x3eabe752,0x3ea8d3d7,2 +np.float32,0xbf7adcb2,0xbf5dfaf5,2 +np.float32,0x801ecc01,0x801ecc01,2 +np.float32,0xbf5570a9,0xbf424123,2 +np.float32,0x3e89eecd,0x3e88510e,2 +np.float32,0xfeb2feee,0xc2b0bae4,2 +np.float32,0xbeb25ec2,0xbeaef22b,2 +np.float32,0x201e49,0x201e49,2 +np.float32,0x800a35f6,0x800a35f6,2 +np.float32,0xbf02d449,0xbefb6e2a,2 +np.float32,0x3f062bea,0x3f00aef6,2 +np.float32,0x7f5219ff,0x42b26fd2,2 +np.float32,0xbd4561d0,0xbd454e47,2 +np.float32,0x3f6c4789,0x3f536a4b,2 +np.float32,0x7f58b06d,0x42b27fa1,2 +np.float32,0x7f132f39,0x42b1b999,2 +np.float32,0x3e05dcb4,0x3e057bd8,2 +np.float32,0x7f526045,0x42b2707d,2 +np.float32,0x3f6117d0,0x3f4b1adb,2 +np.float32,0xbf21f47d,0xbf18bb57,2 +np.float32,0x1a26d6,0x1a26d6,2 +np.float32,0x46b114,0x46b114,2 +np.float32,0x3eb24518,0x3eaed9ef,2 +np.float32,0xfe2139c8,0xc2af2278,2 +np.float32,0xbf7c36fb,0xbf5ef1f6,2 +np.float32,0x3f193834,0x3f114af7,2 +np.float32,0xff3ea650,0xc2b23e14,2 +np.float32,0xfeeb3bca,0xc2b146c7,2 +np.float32,0x7e8b8ca0,0x42b03b6f,2 +np.float32,0x3eed903d,0x3ee5c5d2,2 +np.float32,0xbdc73740,0xbdc6e72a,2 +np.float32,0x7e500307,0x42afa4ec,2 +np.float32,0xe003c,0xe003c,2 +np.float32,0x3e612bb4,0x3e5f64fd,2 +np.float32,0xfd81e248,0xc2ad50e6,2 +np.float32,0x766a4f,0x766a4f,2 +np.float32,0x3e8708c9,0x3e858414,2 +np.float32,0xbf206c58,0xbf176f7f,2 +np.float32,0x7e93aeb0,0x42b0586f,2 +np.float32,0xfd9d36b8,0xc2adb2ad,2 +np.float32,0xff1f4e0e,0xc2b1e21d,2 +np.float32,0x3f22bd5a,0x3f1964f8,2 +np.float32,0x7f6a517a,0x42b2a7ad,2 +np.float32,0xff6ca773,0xc2b2acc1,2 +np.float32,0x7f6bf453,0x42b2ab3d,2 +np.float32,0x3edfdd64,0x3ed9489f,2 +np.float32,0xbeafc5ba,0xbeac7daa,2 +np.float32,0x7d862039,0x42ad615b,2 +np.float32,0xbe9d2002,0xbe9ac1fc,2 +np.float32,0xbdcc54c0,0xbdcbfe5b,2 +np.float32,0xbf1bc0aa,0xbf13762a,2 +np.float32,0xbf4679ce,0xbf36984b,2 +np.float32,0x3ef45696,0x3eebe713,2 +np.float32,0xff6eb999,0xc2b2b137,2 +np.float32,0xbe4b2e4c,0xbe49dee8,2 +np.float32,0x3f498951,0x3f3901b7,2 +np.float32,0xbe9692f4,0xbe947be1,2 +np.float32,0xbf44ce26,0xbf3545c8,2 +np.float32,0x805787a8,0x805787a8,2 +np.float32,0xbf342650,0xbf27dc26,2 +np.float32,0x3edafbf0,0x3ed4cdd2,2 +np.float32,0x3f6fb858,0x3f55ef63,2 +np.float32,0xff227d0a,0xc2b1ec3f,2 +np.float32,0xfeb9a202,0xc2b0cd89,2 +np.float32,0x7f5b12c1,0x42b2853b,2 +np.float32,0x584578,0x584578,2 +np.float32,0x7ec0b76f,0x42b0e0b5,2 +np.float32,0x3f57f54b,0x3f442f10,2 +np.float32,0x7eef3620,0x42b14f5d,2 +np.float32,0x4525b5,0x4525b5,2 +np.float32,0x801bd407,0x801bd407,2 +np.float32,0xbed1f166,0xbecc7703,2 +np.float32,0x3f57e732,0x3f442449,2 +np.float32,0x80767cd5,0x80767cd5,2 +np.float32,0xbef1a7d2,0xbee97aa3,2 +np.float32,0x3dd5b1af,0x3dd54ee6,2 +np.float32,0x960c,0x960c,2 +np.float32,0x7c392d41,0x42a9ddd1,2 +np.float32,0x3f5c9a34,0x3f47b7c1,2 +np.float32,0x3f5cecee,0x3f47f667,2 +np.float32,0xbee482ce,0xbedd8899,2 +np.float32,0x8066ba7e,0x8066ba7e,2 +np.float32,0x7ed76127,0x42b119a2,2 +np.float32,0x805ca40b,0x805ca40b,2 +np.float32,0x7f5ed5d1,0x42b28df3,2 +np.float32,0xfe9e1b1e,0xc2b07b5b,2 +np.float32,0x3f0201a2,0x3ef9f6c4,2 +np.float32,0xbf2e6430,0xbf232039,2 +np.float32,0x80326b4d,0x80326b4d,2 +np.float32,0x3f11dc7c,0x3f0af06e,2 +np.float32,0xbe89c42e,0xbe8827e6,2 +np.float32,0x3f3c69f8,0x3f2e9133,2 +np.float32,0x806326a9,0x806326a9,2 +np.float32,0x3f1c5286,0x3f13f2b6,2 +np.float32,0xff5c0ead,0xc2b28786,2 +np.float32,0xff32b952,0xc2b21d01,2 +np.float32,0x7dd27c4e,0x42ae4815,2 +np.float32,0xbf7a6816,0xbf5da7a2,2 +np.float32,0xfeac72f8,0xc2b0a7d1,2 +np.float32,0x335ad7,0x335ad7,2 +np.float32,0xbe682da4,0xbe663bcc,2 +np.float32,0x3f2df244,0x3f22c208,2 +np.float32,0x80686e8e,0x80686e8e,2 +np.float32,0x7f50120f,0x42b26ad9,2 +np.float32,0x3dbc596a,0x3dbc15b3,2 +np.float32,0xbf4f2868,0xbf3d666d,2 +np.float32,0x80000001,0x80000001,2 +np.float32,0xff66c059,0xc2b29fd2,2 +np.float32,0xfe8bbcaa,0xc2b03c1f,2 +np.float32,0x3ece6a51,0x3ec93271,2 +np.float32,0x7f06cd26,0x42b18c9a,2 +np.float32,0x7e41e6dc,0x42af80f5,2 +np.float32,0x7d878334,0x42ad669f,2 +np.float32,0xfe8c5c4c,0xc2b03e67,2 +np.float32,0x337a05,0x337a05,2 +np.float32,0x3e63801d,0x3e61ab58,2 +np.float32,0x62c315,0x62c315,2 +np.float32,0x802aa888,0x802aa888,2 +np.float32,0x80038b43,0x80038b43,2 +np.float32,0xff5c1271,0xc2b2878f,2 +np.float32,0xff4184a5,0xc2b245b9,2 +np.float32,0x7ef58f4b,0x42b15cc6,2 +np.float32,0x7f42d8ac,0x42b2493a,2 +np.float32,0x806609f2,0x806609f2,2 +np.float32,0x801e763b,0x801e763b,2 +np.float32,0x7f2bc073,0x42b208a2,2 +np.float32,0x801d7d7f,0x801d7d7f,2 +np.float32,0x7d415dc1,0x42acb9c2,2 +np.float32,0xbf624ff9,0xbf4c0502,2 +np.float32,0xbf603afd,0xbf4a74e2,2 +np.float32,0x8007fe42,0x8007fe42,2 +np.float32,0x800456db,0x800456db,2 +np.float32,0x620871,0x620871,2 +np.float32,0x3e9c6c1e,0x3e9a15fa,2 +np.float32,0x4245d,0x4245d,2 +np.float32,0x8035bde9,0x8035bde9,2 +np.float32,0xbf597418,0xbf45533c,2 +np.float32,0x3c730f80,0x3c730d38,2 +np.float32,0x3f7cd8ed,0x3f5f6540,2 +np.float32,0x807e49c3,0x807e49c3,2 +np.float32,0x3d6584c0,0x3d65660c,2 +np.float32,0xff42a744,0xc2b248b8,2 +np.float32,0xfedc6f56,0xc2b12583,2 +np.float32,0x806263a4,0x806263a4,2 +np.float32,0x175a17,0x175a17,2 +np.float32,0x3f1e8537,0x3f15d208,2 +np.float32,0x4055b5,0x4055b5,2 +np.float32,0x438aa6,0x438aa6,2 +np.float32,0x8038507f,0x8038507f,2 +np.float32,0xbed75348,0xbed16f85,2 +np.float32,0x7f07b7d6,0x42b19012,2 +np.float32,0xfe8b9d30,0xc2b03bac,2 +np.float32,0x805c501c,0x805c501c,2 +np.float32,0x3ef22b1d,0x3ee9f159,2 +np.float32,0x802b6759,0x802b6759,2 +np.float32,0x45281a,0x45281a,2 +np.float32,0xbf7e9970,0xbf60a3cf,2 +np.float32,0xbf14d152,0xbf0d8062,2 +np.float32,0x3d9ff950,0x3d9fcfc8,2 +np.float32,0x7865d9,0x7865d9,2 +np.float32,0xbee67fa4,0xbedf58eb,2 +np.float32,0x7dc822d1,0x42ae2e44,2 +np.float32,0x3f3af0fe,0x3f2d612c,2 +np.float32,0xbefea106,0xbef5274e,2 +np.float32,0xbf758a3f,0xbf5a28c5,2 +np.float32,0xbf331bdd,0xbf270209,2 +np.float32,0x7f51c901,0x42b26f0d,2 +np.float32,0x3f67c33b,0x3f5014d8,2 +np.float32,0xbbc9d980,0xbbc9d92c,2 +np.float32,0xbc407540,0xbc40741e,2 +np.float32,0x7eed9a3c,0x42b14be9,2 +np.float32,0x1be0fe,0x1be0fe,2 +np.float32,0xbf6b4913,0xbf52af1f,2 +np.float32,0xbda8eba8,0xbda8bac6,2 +np.float32,0x8004bcea,0x8004bcea,2 +np.float32,0xff6f6afe,0xc2b2b2b3,2 +np.float32,0xbf205810,0xbf175e50,2 +np.float32,0x80651944,0x80651944,2 +np.float32,0xbec73016,0xbec27a3f,2 +np.float32,0x5701b9,0x5701b9,2 +np.float32,0xbf1062ce,0xbf09a7df,2 +np.float32,0x3e0306ae,0x3e02abd1,2 +np.float32,0x7bfc62,0x7bfc62,2 +np.float32,0xbf48dd3c,0xbf387a6b,2 +np.float32,0x8009573e,0x8009573e,2 +np.float32,0x660a2c,0x660a2c,2 +np.float32,0xff2280da,0xc2b1ec4b,2 +np.float32,0xbf7034fe,0xbf564a54,2 +np.float32,0xbeeb448e,0xbee3b045,2 +np.float32,0xff4e949c,0xc2b2672b,2 +np.float32,0xbf3c4486,0xbf2e7309,2 +np.float32,0x7eb086d8,0x42b0b3c8,2 +np.float32,0x7eac8aca,0x42b0a817,2 +np.float32,0xfd3d2d60,0xc2acae8b,2 +np.float32,0xbf363226,0xbf2987bd,2 +np.float32,0x7f02e524,0x42b17d8c,2 +np.float32,0x8049a148,0x8049a148,2 +np.float32,0x147202,0x147202,2 +np.float32,0x8031d3f6,0x8031d3f6,2 +np.float32,0xfe78bf68,0xc2b0007d,2 +np.float32,0x7ebd16d0,0x42b0d6fb,2 +np.float32,0xbdaed2e8,0xbdae9cbb,2 +np.float32,0x802833ae,0x802833ae,2 +np.float32,0x7f62adf6,0x42b296b5,2 +np.float32,0xff2841c0,0xc2b1fe1b,2 +np.float32,0xbeb2c47e,0xbeaf523b,2 +np.float32,0x7e42a36e,0x42af82e6,2 +np.float32,0x41ea29,0x41ea29,2 +np.float32,0xbcaaa800,0xbcaaa4d7,2 +np.float64,0x3fed71f27ebae3e5,0x3fea5c6095012ca6,1 +np.float64,0x224dc392449b9,0x224dc392449b9,1 +np.float64,0x3fdf897a7d3f12f5,0x3fde620339360992,1 +np.float64,0xbfe1f99a5123f334,0xbfe124a57cfaf556,1 +np.float64,0xbfd9725c3bb2e4b8,0xbfd8d1e3f75110c7,1 +np.float64,0x3fe38977546712ee,0x3fe27d9d37f4b91f,1 +np.float64,0xbfc36c29e526d854,0xbfc3594743ee45c4,1 +np.float64,0xbfe5cbec332b97d8,0xbfe4638802316849,1 +np.float64,0x2ff35efe5fe6d,0x2ff35efe5fe6d,1 +np.float64,0x7fd3f828e227f051,0x40862a7d4a40b1e0,1 +np.float64,0xffd06fc11620df82,0xc08628ee8f1bf6c8,1 +np.float64,0x3fe5321bf4aa6438,0x3fe3e3d9fa453199,1 +np.float64,0xffd07a323ca0f464,0xc08628f3a2930f8c,1 +np.float64,0x3fdf7abe7abef57c,0x3fde54cb193d49cb,1 +np.float64,0x40941f1881285,0x40941f1881285,1 +np.float64,0xffef18defc7e31bd,0xc0863393f2c9f061,1 +np.float64,0xbfe379f871e6f3f1,0xbfe270620cb68347,1 +np.float64,0xffec829848f90530,0xc08632e210edaa2b,1 +np.float64,0x80070c00574e1801,0x80070c00574e1801,1 +np.float64,0xffce7654b23ceca8,0xc086285291e89975,1 +np.float64,0x7fc9932daa33265a,0x408626ec6cc2b807,1 +np.float64,0x355ee98c6abde,0x355ee98c6abde,1 +np.float64,0x3fac54962c38a920,0x3fac50e40b6c19f2,1 +np.float64,0x800857984af0af31,0x800857984af0af31,1 +np.float64,0x7fea6a3d55f4d47a,0x40863245bf39f179,1 +np.float64,0x3fdb8fab33371f56,0x3fdac5ffc9e1c347,1 +np.float64,0x800a887a7bf510f5,0x800a887a7bf510f5,1 +np.float64,0xbfbdbda3c63b7b48,0xbfbdac9dd5a2d3e8,1 +np.float64,0xbfd4a2457b29448a,0xbfd44acb3b316d6d,1 +np.float64,0x7fd5329a502a6534,0x40862af789b528b5,1 +np.float64,0x3fd96a7bceb2d4f8,0x3fd8ca92104d6cd6,1 +np.float64,0x3fde6a0cd6bcd41a,0x3fdd5f4b85abf749,1 +np.float64,0xbfc7faaff32ff560,0xbfc7d7560b8c4a52,1 +np.float64,0x7fec381b2f787035,0x408632cd0e9c095c,1 +np.float64,0x1fc2eb543f85e,0x1fc2eb543f85e,1 +np.float64,0x7ac6000af58c1,0x7ac6000af58c1,1 +np.float64,0xffe060a87920c150,0xc0862e72c37d5a4e,1 +np.float64,0xbfb7d8c89e2fb190,0xbfb7cffd3c3f8e3a,1 +np.float64,0x3fd91033deb22068,0x3fd87695b067aa1e,1 +np.float64,0x3fec1aff01b835fe,0x3fe95d5cbd729af7,1 +np.float64,0x7fb97f69ec32fed3,0x4086215aaae5c697,1 +np.float64,0x7feaf1e4e5f5e3c9,0x4086326e6ca6a2bb,1 +np.float64,0x800537e44d0a6fc9,0x800537e44d0a6fc9,1 +np.float64,0x800b2a0d0d36541a,0x800b2a0d0d36541a,1 +np.float64,0x3fe2193846e43270,0x3fe140308550138e,1 +np.float64,0x5e2a0a32bc542,0x5e2a0a32bc542,1 +np.float64,0xffe5888b09eb1116,0xc08630a348783aa3,1 +np.float64,0xbfceb9b5033d736c,0xbfce701049c10435,1 +np.float64,0x7fe5d68589abad0a,0x408630c00ce63f23,1 +np.float64,0x8009b5457ff36a8b,0x8009b5457ff36a8b,1 +np.float64,0xbfb5518c2e2aa318,0xbfb54b42638ca718,1 +np.float64,0x3f9c58469838b080,0x3f9c575974fbcd7b,1 +np.float64,0x3fe8db4b4731b697,0x3fe6dc9231587966,1 +np.float64,0x8007d0f77f4fa1f0,0x8007d0f77f4fa1f0,1 +np.float64,0x7fe79eef542f3dde,0x40863160c673c67f,1 +np.float64,0xffbdc0b6163b8170,0xc0862296be4bf032,1 +np.float64,0x3fbb8d3312371a66,0x3fbb7fa76fb4cf8d,1 +np.float64,0xffd8a0eedbb141de,0xc0862c2ac6e512f0,1 +np.float64,0x7fee99d8d87d33b1,0x4086337301c4c8df,1 +np.float64,0xffe7479b552e8f36,0xc0863142fba0f0ec,1 +np.float64,0xffedf8ef4abbf1de,0xc08633488068fe69,1 +np.float64,0x895c4d9f12b8a,0x895c4d9f12b8a,1 +np.float64,0x29b4caf05369a,0x29b4caf05369a,1 +np.float64,0xbfefb90d657f721b,0xbfec01efa2425b35,1 +np.float64,0xde07c3bdbc0f9,0xde07c3bdbc0f9,1 +np.float64,0x7feae9fd02f5d3f9,0x4086326c1368ed5a,1 +np.float64,0x3feab792da756f26,0x3fe84f6e15338ed7,1 +np.float64,0xbfeff8ed72fff1db,0xbfec2f35da06daaf,1 +np.float64,0x8004b2c132896583,0x8004b2c132896583,1 +np.float64,0xbf9fcb00103f9600,0xbf9fc9b1751c569e,1 +np.float64,0x4182b72e83058,0x4182b72e83058,1 +np.float64,0x90820d812105,0x90820d812105,1 +np.float64,0xbfdec9a0ba3d9342,0xbfddb585df607ce1,1 +np.float64,0x7fdc0a69a03814d2,0x40862d347f201b63,1 +np.float64,0xbfef0708937e0e11,0xbfeb82d27f8ea97f,1 +np.float64,0xffda57e4ddb4afca,0xc0862cb49e2e0c4c,1 +np.float64,0xbfa30b9af4261730,0xbfa30a7b4a633060,1 +np.float64,0x7feb57fcc4b6aff9,0x4086328c83957a0b,1 +np.float64,0x7fe6759153eceb22,0x408630f980433963,1 +np.float64,0x7fdd3278c8ba64f1,0x40862d87445243e9,1 +np.float64,0xd3b8e6b9a771d,0xd3b8e6b9a771d,1 +np.float64,0x6267dc88c4cfc,0x6267dc88c4cfc,1 +np.float64,0x7fedd3cf00bba79d,0x4086333e91712ff5,1 +np.float64,0xffbe512ce03ca258,0xc08622bd39314cea,1 +np.float64,0xbfe71742ca6e2e86,0xbfe572ccbf2d010d,1 +np.float64,0x8002fb048c65f60a,0x8002fb048c65f60a,1 +np.float64,0x800d9d9ddf7b3b3c,0x800d9d9ddf7b3b3c,1 +np.float64,0xbfeaf6230df5ec46,0xbfe87f5d751ec3d5,1 +np.float64,0xbfe69973a42d32e8,0xbfe50c680f7002fe,1 +np.float64,0x3fe309cf87e613a0,0x3fe21048714ce1ac,1 +np.float64,0x800435d17a286ba4,0x800435d17a286ba4,1 +np.float64,0x7fefffffffffffff,0x408633ce8fb9f87e,1 +np.float64,0x3fe36ade1766d5bc,0x3fe26379fb285dde,1 +np.float64,0x3f98d8d94831b1c0,0x3f98d839885dc527,1 +np.float64,0xbfd08f7ae5211ef6,0xbfd0618ab5293e1e,1 +np.float64,0xbfcf630bd53ec618,0xbfcf14a0cd20704d,1 +np.float64,0xbfe58f0ca6eb1e1a,0xbfe4312225df8e28,1 +np.float64,0xffef4f6406be9ec7,0xc08633a1ed1d27e5,1 +np.float64,0x7fe10120b3e20240,0x40862ebfaf94e6e8,1 +np.float64,0xffe96c52fbb2d8a5,0xc08631f75d9a59a0,1 +np.float64,0xbfe448a333e89146,0xbfe31fee44c3ec43,1 +np.float64,0x80045ff4e788bfeb,0x80045ff4e788bfeb,1 +np.float64,0x7fefaa2f823f545e,0x408633b8fea29524,1 +np.float64,0xffea6b8bf234d717,0xc0863246248e5960,1 +np.float64,0xbfdb085d80b610bc,0xbfda498b15b43eec,1 +np.float64,0xbfd5e12da3abc25c,0xbfd57970e2b8aecc,1 +np.float64,0x3fcc84928a390925,0x3fcc497c417a89f3,1 +np.float64,0xbfdcb713bf396e28,0xbfdbd46c5e731fd9,1 +np.float64,0xffdf50c0453ea180,0xc0862e16b5562f25,1 +np.float64,0x800342c2f7268587,0x800342c2f7268587,1 +np.float64,0x7feb8b6d743716da,0x4086329b8248de2c,1 +np.float64,0x800a9b18b4953632,0x800a9b18b4953632,1 +np.float64,0xffedaf0d12fb5e19,0xc0863334af82de1a,1 +np.float64,0x800aebda4ab5d7b5,0x800aebda4ab5d7b5,1 +np.float64,0xbfa9f5848433eb10,0xbfa9f2ac7ac065d4,1 +np.float64,0x3fea375928f46eb2,0x3fe7ec9f10eeac7d,1 +np.float64,0x3fd6c213fead8428,0x3fd64dcc1eff5f1b,1 +np.float64,0xbfa0476f44208ee0,0xbfa046bb986007ac,1 +np.float64,0x6c8e18aed91c4,0x6c8e18aed91c4,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0x7fea86b5ba350d6a,0x4086324e59f13027,1 +np.float64,0x2316c3b0462d9,0x2316c3b0462d9,1 +np.float64,0x3fec4e3281389c65,0x3fe983c5c9d65940,1 +np.float64,0x3fbb87c47f772,0x3fbb87c47f772,1 +np.float64,0x8004af00fdc95e03,0x8004af00fdc95e03,1 +np.float64,0xbfd316db9ba62db8,0xbfd2d12765b9d155,1 +np.float64,0x3fec1a7a99f834f6,0x3fe95cf941889b3d,1 +np.float64,0x3feff7e1477fefc3,0x3fec2e782392d4b9,1 +np.float64,0xbfc683ea042d07d4,0xbfc66698cfa5026e,1 +np.float64,0x3fdbc8aaa9b79154,0x3fdafa50e6fc3fff,1 +np.float64,0xfb3b630ff676d,0xfb3b630ff676d,1 +np.float64,0x7fe715ef8eae2bde,0x40863131d794b41f,1 +np.float64,0x7fefa06c11bf40d7,0x408633b686c7996a,1 +np.float64,0x80002a40f5205483,0x80002a40f5205483,1 +np.float64,0x7fe95f3c74b2be78,0x408631f33e37bf76,1 +np.float64,0x3fb2977b32252ef0,0x3fb2934eaf5a4be8,1 +np.float64,0x3fc0f3dbc821e7b8,0x3fc0e745288c84c3,1 +np.float64,0x3fda98da56b531b5,0x3fd9e2b19447dacc,1 +np.float64,0x3f95b9d5202b73aa,0x3f95b96a53282949,1 +np.float64,0x3fdc1ace7738359d,0x3fdb4597d31df7ff,1 +np.float64,0xffeac5bb2e358b76,0xc0863261452ab66c,1 +np.float64,0xbfefb1b78f7f636f,0xbfebfcb9be100ced,1 +np.float64,0xf5c9e191eb93c,0xf5c9e191eb93c,1 +np.float64,0x3fe83a977630752f,0x3fe65d0df90ff6ef,1 +np.float64,0x3fc317515d262ea0,0x3fc3056072b719f0,1 +np.float64,0x7fe2dcfab225b9f4,0x40862f94257c28a2,1 +np.float64,0xca2b115794562,0xca2b115794562,1 +np.float64,0x3fd495301aa92a60,0x3fd43e57108761d5,1 +np.float64,0x800ccc4293199885,0x800ccc4293199885,1 +np.float64,0xc8d3173d91a63,0xc8d3173d91a63,1 +np.float64,0xbf2541bb7e4a8,0xbf2541bb7e4a8,1 +np.float64,0xbfe9a330df334662,0xbfe779816573f5be,1 +np.float64,0xffd5e4c8252bc990,0xc0862b39b3ca5d72,1 +np.float64,0x3fe90f3a53721e75,0x3fe70585ae09531d,1 +np.float64,0xbfe2b5ddc7a56bbc,0xbfe1c7fa91a675ed,1 +np.float64,0xbf981a0360303400,0xbf9819719345073a,1 +np.float64,0x19174b0e322ea,0x19174b0e322ea,1 +np.float64,0xbfd2f71a1725ee34,0xbfd2b2b6f7cd10b1,1 +np.float64,0x80056e83236add07,0x80056e83236add07,1 +np.float64,0x7fe4bc41d9697883,0x40863055f20ce0cb,1 +np.float64,0xffe76e06c46edc0d,0xc086315024b25559,1 +np.float64,0x3fe3c4f0f96789e2,0x3fe2b04b584609bf,1 +np.float64,0x3fe6cfc533ed9f8a,0x3fe538b4d784d5ee,1 +np.float64,0x7fd234a640a4694c,0x408629bfead4f0b2,1 +np.float64,0x3fdbc49c9ab78939,0x3fdaf698a83d08e2,1 +np.float64,0x3fe4c5336ee98a66,0x3fe388c6ddb60e0a,1 +np.float64,0xf4b9497be9729,0xf4b9497be9729,1 +np.float64,0x3fb312be12262580,0x3fb30e3c847c1d16,1 +np.float64,0x3fe9554218f2aa84,0x3fe73c8b311c7a98,1 +np.float64,0xff899816a0333040,0xc08610bfb2cd8559,1 +np.float64,0x8006008ad52c0116,0x8006008ad52c0116,1 +np.float64,0x3fd7d47be4afa8f8,0x3fd74fa71ec17fd0,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0xdf2a9943be553,0xdf2a9943be553,1 +np.float64,0xbfeb86bf1eb70d7e,0xbfe8ed797580ba5c,1 +np.float64,0x800e2c0c28bc5818,0x800e2c0c28bc5818,1 +np.float64,0xbfe2be65d4657ccc,0xbfe1cf578dec2323,1 +np.float64,0xbfedea3a5afbd475,0xbfeab490bf05e585,1 +np.float64,0xbfe04b1583a0962b,0xbfdf523dfd7be25c,1 +np.float64,0x75929bb4eb254,0x75929bb4eb254,1 +np.float64,0x3fd7b4968caf692d,0x3fd731c0938ff97c,1 +np.float64,0x60bd8fd2c17b3,0x60bd8fd2c17b3,1 +np.float64,0xbfdaf15e70b5e2bc,0xbfda345a95ce18fe,1 +np.float64,0x7fdd7c35c2baf86b,0x40862d9b5f40c6b2,1 +np.float64,0x7feeb4d2ab7d69a4,0x4086337a0c0dffaf,1 +np.float64,0xffe65b5a1decb6b4,0xc08630f024420efb,1 +np.float64,0x7feb272b30764e55,0x4086327e2e553aa2,1 +np.float64,0x3fd27513e8a4ea28,0x3fd235ea49670f6a,1 +np.float64,0x3fe6541a6aeca834,0x3fe4d3a5b69fd1b6,1 +np.float64,0xbfe0c6ca0f618d94,0xbfe017058259efdb,1 +np.float64,0x7fc1bf07b7237e0e,0x4086240000fa5a52,1 +np.float64,0x7fe96af9c0f2d5f3,0x408631f6f0f4faa2,1 +np.float64,0x3fe0728be7a0e518,0x3fdf9881a5869de9,1 +np.float64,0xffe8ea4441b1d488,0xc08631ce0685ae7e,1 +np.float64,0xffd0b973f02172e8,0xc08629121e7fdf85,1 +np.float64,0xffe37b907a26f720,0xc0862fd6529401a0,1 +np.float64,0x3fe0ee826461dd05,0x3fe03a2a424a1b40,1 +np.float64,0xbfe8073c92300e79,0xbfe6340cbd179ac1,1 +np.float64,0x800768383f8ed071,0x800768383f8ed071,1 +np.float64,0x8002e467c7c5c8d0,0x8002e467c7c5c8d0,1 +np.float64,0xbfd8d53ea5b1aa7e,0xbfd83fa7243289d7,1 +np.float64,0xffebefce2bb7df9c,0xc08632b874f4f8dc,1 +np.float64,0xffe3be9eb9277d3d,0xc0862ff1ac70ad0b,1 +np.float64,0xffe2f8a82e65f150,0xc0862f9fd9e77d86,1 +np.float64,0xbfa01d151c203a30,0xbfa01c66dc13a70a,1 +np.float64,0x800877062d30ee0d,0x800877062d30ee0d,1 +np.float64,0xaade16a755bc3,0xaade16a755bc3,1 +np.float64,0xbfeb1abc70363579,0xbfe89b52c3b003aa,1 +np.float64,0x80097d0b2ad2fa17,0x80097d0b2ad2fa17,1 +np.float64,0x8001499907429333,0x8001499907429333,1 +np.float64,0x3fe8db2aaf71b656,0x3fe6dc7873f1b235,1 +np.float64,0x5cfeadc4b9fd6,0x5cfeadc4b9fd6,1 +np.float64,0xff3f77d1fe7ef,0xff3f77d1fe7ef,1 +np.float64,0xffeecd56f9bd9aad,0xc08633806cb1163d,1 +np.float64,0xbf96f3ca582de7a0,0xbf96f34c6b8e1c85,1 +np.float64,0x7ed6b44afdad7,0x7ed6b44afdad7,1 +np.float64,0x80071808da4e3012,0x80071808da4e3012,1 +np.float64,0x3feb8aee2bf715dc,0x3fe8f0a55516615c,1 +np.float64,0x800038f62e2071ed,0x800038f62e2071ed,1 +np.float64,0x3fb13f9af2227f30,0x3fb13c456ced8e08,1 +np.float64,0xffd584d1812b09a4,0xc0862b165558ec0c,1 +np.float64,0x800b20c30fb64186,0x800b20c30fb64186,1 +np.float64,0x80024f9646e49f2d,0x80024f9646e49f2d,1 +np.float64,0xffefffffffffffff,0xc08633ce8fb9f87e,1 +np.float64,0x3fdddbcb5bbbb797,0x3fdcde981111f650,1 +np.float64,0xffed14077f3a280e,0xc086330a795ad634,1 +np.float64,0x800fec2da7ffd85b,0x800fec2da7ffd85b,1 +np.float64,0x3fe8205ffc7040c0,0x3fe6482318d217f9,1 +np.float64,0x3013e5226027d,0x3013e5226027d,1 +np.float64,0xffe4e5aad469cb55,0xc0863065dc2fb4e3,1 +np.float64,0x5cb0f7b2b9620,0x5cb0f7b2b9620,1 +np.float64,0xbfeb4537d2768a70,0xbfe8bbb2c1d3bff9,1 +np.float64,0xbfd859e297b0b3c6,0xbfd7cc807948bf9d,1 +np.float64,0x71f00b8ce3e02,0x71f00b8ce3e02,1 +np.float64,0xf5c1b875eb837,0xf5c1b875eb837,1 +np.float64,0xa0f35c8141e8,0xa0f35c8141e8,1 +np.float64,0xffe24860b42490c1,0xc0862f54222f616e,1 +np.float64,0xffcd9ae8583b35d0,0xc08628181e643a42,1 +np.float64,0x7fe9b710c7736e21,0x4086320ec033490f,1 +np.float64,0x3fd2b9ca1d257394,0x3fd277e631f0c0b3,1 +np.float64,0x23559bfc46ab4,0x23559bfc46ab4,1 +np.float64,0x8002adf75e455bef,0x8002adf75e455bef,1 +np.float64,0xbfefa4d75cbf49af,0xbfebf392e51d6a1a,1 +np.float64,0xffcfef263e3fde4c,0xc08628b336adb611,1 +np.float64,0x80061acaa8ec3596,0x80061acaa8ec3596,1 +np.float64,0x7fc1b33be0236677,0x408623faaddcc17e,1 +np.float64,0x7fe3a84083675080,0x40862fe8972e41e1,1 +np.float64,0xbfe756c1276ead82,0xbfe5a6318b061e1b,1 +np.float64,0xbfae4b71b43c96e0,0xbfae46ed0b6203a4,1 +np.float64,0x800421c6d0a8438e,0x800421c6d0a8438e,1 +np.float64,0x8009ad56fe335aae,0x8009ad56fe335aae,1 +np.float64,0xbfe71afc976e35f9,0xbfe575d21f3d7193,1 +np.float64,0x7fec0bbe4c38177c,0x408632c0710f1d8a,1 +np.float64,0x750e1daeea1c4,0x750e1daeea1c4,1 +np.float64,0x800501d4240a03a9,0x800501d4240a03a9,1 +np.float64,0x800794955cef292b,0x800794955cef292b,1 +np.float64,0x3fdf8a87f5bf1510,0x3fde62f4f00cfa19,1 +np.float64,0xbfebebdbc7f7d7b8,0xbfe939e51ba1340c,1 +np.float64,0xbfe3a16217a742c4,0xbfe292039dd08a71,1 +np.float64,0x3fed6cd04c3ad9a1,0x3fea58995973f74b,1 +np.float64,0xffcad8787335b0f0,0xc086274fbb35dd37,1 +np.float64,0x3fcb178e3d362f1c,0x3fcae4c9f3e6dddc,1 +np.float64,0xbfcadc669435b8cc,0xbfcaaae7cf075420,1 +np.float64,0x7fe0e3906321c720,0x40862eb1bacc5c43,1 +np.float64,0xff8ad5edb035abc0,0xc0861120b6404d0b,1 +np.float64,0x3fe175a21562eb44,0x3fe0b13120a46549,1 +np.float64,0xbfeb4c4a5f769895,0xbfe8c1147f1c9d8f,1 +np.float64,0x7fca22f4e63445e9,0x40862718e9b4094e,1 +np.float64,0x3fe4269d0c684d3a,0x3fe3032aa2015c53,1 +np.float64,0x3fef551c09beaa38,0x3febbabe03f49c83,1 +np.float64,0xffd843df9fb087c0,0xc0862c0c52d5e5d9,1 +np.float64,0x7fc497e2ca292fc5,0x40862530bbd9fcc7,1 +np.float64,0x3fee02919efc0523,0x3feac655588a4acd,1 +np.float64,0x7fed1e52c0fa3ca5,0x4086330d4ddd8a2c,1 +np.float64,0xba04d4ef7409b,0xba04d4ef7409b,1 +np.float64,0x3fee22d0937c45a2,0x3feaddd4ca66b447,1 +np.float64,0xffeb2558cf764ab1,0xc086327da4e84053,1 +np.float64,0xbfe103d987e207b3,0xbfe04d04818ad1ff,1 +np.float64,0x3f9fd7fed03faffe,0x3f9fd6ae9a45be84,1 +np.float64,0x800a53ec4c34a7d9,0x800a53ec4c34a7d9,1 +np.float64,0xbfe2feb17f65fd63,0xbfe206b9d33a78a2,1 +np.float64,0x989bdd613139,0x989bdd613139,1 +np.float64,0xbfdd0ad3fb3a15a8,0xbfdc20c32a530741,1 +np.float64,0xbfc4222163284444,0xbfc40d1c612784b5,1 +np.float64,0xc30cf5c78619f,0xc30cf5c78619f,1 +np.float64,0x3fe913bd6732277b,0x3fe70912f76bad71,1 +np.float64,0x98f175f531e2f,0x98f175f531e2f,1 +np.float64,0x3fed8c1f717b183f,0x3fea6f9fb3af3423,1 +np.float64,0x7fee46b085bc8d60,0x4086335d269eb7e9,1 +np.float64,0x8007480f564e901f,0x8007480f564e901f,1 +np.float64,0xc9b96e179372e,0xc9b96e179372e,1 +np.float64,0x3fe44deac4289bd6,0x3fe32463a74a69e7,1 +np.float64,0x80021d6c5c243ad9,0x80021d6c5c243ad9,1 +np.float64,0xbfebc805a6f7900b,0xbfe91edcf65a1c19,1 +np.float64,0x80044748adc88e92,0x80044748adc88e92,1 +np.float64,0x4007ee44800fe,0x4007ee44800fe,1 +np.float64,0xbfe24307a4648610,0xbfe1648ad5c47b6f,1 +np.float64,0xbfee6d3a93fcda75,0xbfeb13e1a3196e78,1 +np.float64,0x3fe49a287f293451,0x3fe364a11b9f0068,1 +np.float64,0x80052b37ceaa5670,0x80052b37ceaa5670,1 +np.float64,0xbfd42be893a857d2,0xbfd3da05dac7c286,1 +np.float64,0xffb4bbe4ac2977c8,0xc0861fb31bda6956,1 +np.float64,0xbfc732a4142e6548,0xbfc7129a4eafa399,1 +np.float64,0x7fd0696791a0d2ce,0x408628eb7756cb9c,1 +np.float64,0x3fe46c8f8d68d91f,0x3fe33e3df16187c1,1 +np.float64,0x3fe3a28f1ce7451e,0x3fe293043238d08c,1 +np.float64,0xffedc4eb723b89d6,0xc086333a92258c15,1 +np.float64,0x8000d15b4c41a2b7,0x8000d15b4c41a2b7,1 +np.float64,0xffeb73450236e689,0xc08632947b0148ab,1 +np.float64,0xffe68cf4722d19e8,0xc0863101d08d77bd,1 +np.float64,0x800c70eb4698e1d7,0x800c70eb4698e1d7,1 +np.float64,0xffa94387ff529,0xffa94387ff529,1 +np.float64,0x7fe3835d996706ba,0x40862fd985ff8e7d,1 +np.float64,0x3fe55e476feabc8e,0x3fe408a15594ec52,1 +np.float64,0xffc69672222d2ce4,0xc08625ee0c4c0f6a,1 +np.float64,0xbf9d900b883b2020,0xbf9d8efe811d36df,1 +np.float64,0xbfdb9b9755b7372e,0xbfdad0f2aa2cb110,1 +np.float64,0xffeade6073b5bcc0,0xc08632689f17a25d,1 +np.float64,0xffd1d6a6baa3ad4e,0xc086299630a93a7b,1 +np.float64,0x7fd05ba25620b744,0x408628e4be1ef845,1 +np.float64,0xbfc7d422d52fa844,0xbfc7b170a61531bf,1 +np.float64,0x3fd5196797aa32d0,0x3fd4bc0f0e7d8e1d,1 +np.float64,0x617594a4c2eb3,0x617594a4c2eb3,1 +np.float64,0x7fd779bc4caef378,0x40862bc89271b882,1 +np.float64,0xffd2fb262ba5f64c,0xc0862a15561e9524,1 +np.float64,0x72fd661ae5fad,0x72fd661ae5fad,1 +np.float64,0x3fecf441f339e884,0x3fe9ff880d584f64,1 +np.float64,0x7fc3a8968827512c,0x408624d198b05c61,1 +np.float64,0x3fe7a25c56ef44b9,0x3fe5e32509a7c32d,1 +np.float64,0x7fd117d514222fa9,0x4086293ec640d5f2,1 +np.float64,0x3fe37dfe5ee6fbfc,0x3fe273d1bcaa1ef0,1 +np.float64,0xbfed4cd19d7a99a3,0xbfea41064cba4c8b,1 +np.float64,0x8003ff12aaa7fe26,0x8003ff12aaa7fe26,1 +np.float64,0x3fcbc3d1193787a2,0x3fcb8d39e3e88264,1 +np.float64,0xe9ba1a91d3744,0xe9ba1a91d3744,1 +np.float64,0x8002ab71998556e4,0x8002ab71998556e4,1 +np.float64,0x800110057922200c,0x800110057922200c,1 +np.float64,0xbfe3b7af19a76f5e,0xbfe2a502fc0a2882,1 +np.float64,0x7fd9de9d5e33bd3a,0x40862c8f73cccabf,1 +np.float64,0xbfba0f0a86341e18,0xbfba0392f44c2771,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0x7fe5d162e96ba2c5,0x408630be2b15e01b,1 +np.float64,0x800b7f0eac76fe1e,0x800b7f0eac76fe1e,1 +np.float64,0xff98bed150317da0,0xc086160633164f5f,1 +np.float64,0x3fef91fd70ff23fb,0x3febe629709d0ae7,1 +np.float64,0x7fe5bea7f16b7d4f,0x408630b749f445e9,1 +np.float64,0xbfe3dc428467b885,0xbfe2c41ea93fab07,1 +np.float64,0xbfeba1fbfcf743f8,0xbfe9021b52851bb9,1 +np.float64,0x7fd2fb2108a5f641,0x40862a1553f45830,1 +np.float64,0x7feb8199a4370332,0x40863298a7169dad,1 +np.float64,0x800f97ff8d7f2fff,0x800f97ff8d7f2fff,1 +np.float64,0x3fd5e20b6b2bc417,0x3fd57a42bd1c0993,1 +np.float64,0x8006b4072dad680f,0x8006b4072dad680f,1 +np.float64,0x605dccf2c0bba,0x605dccf2c0bba,1 +np.float64,0x3fc705ed142e0bda,0x3fc6e69971d86f73,1 +np.float64,0xffd2ba1aad257436,0xc08629f9bc918f8b,1 +np.float64,0x8002954e23c52a9d,0x8002954e23c52a9d,1 +np.float64,0xbfecc65da7798cbb,0xbfe9dd745be18562,1 +np.float64,0x7fc66110482cc220,0x408625db0db57ef8,1 +np.float64,0x3fcd09446d3a1289,0x3fcccaf2dd0a41ea,1 +np.float64,0x3febe7095437ce13,0x3fe93642d1e73b2a,1 +np.float64,0x8004773c7da8ee7a,0x8004773c7da8ee7a,1 +np.float64,0x8001833241230665,0x8001833241230665,1 +np.float64,0x3fe6a262db6d44c6,0x3fe513b3dab5adce,1 +np.float64,0xe6282cc1cc506,0xe6282cc1cc506,1 +np.float64,0x800b9d8553973b0b,0x800b9d8553973b0b,1 +np.float64,0x3fdfbe0c7b3f7c19,0x3fde912375d867a8,1 +np.float64,0x7fd5ac11ebab5823,0x40862b24dfc6d08e,1 +np.float64,0x800e4b7cb1fc96f9,0x800e4b7cb1fc96f9,1 +np.float64,0x3fe14706da628e0e,0x3fe0883aec2a917a,1 +np.float64,0x7fc963f97532c7f2,0x408626dd9b0cafe1,1 +np.float64,0xbfe9c250b5b384a2,0xbfe791c5eabcb05d,1 +np.float64,0x3fe8d16e6c71a2dd,0x3fe6d4c7a33a0bf4,1 +np.float64,0x3fe474ae4628e95d,0x3fe34515c93f4733,1 +np.float64,0x3fbf3257ee3e64b0,0x3fbf1eb530e126ea,1 +np.float64,0x8005f089b3abe114,0x8005f089b3abe114,1 +np.float64,0x3fece07bccf9c0f8,0x3fe9f0dc228124d5,1 +np.float64,0xbfc52521632a4a44,0xbfc50ccebdf59c2c,1 +np.float64,0x7fdf53beb13ea77c,0x40862e177918195e,1 +np.float64,0x8003d9f6ad07b3ee,0x8003d9f6ad07b3ee,1 +np.float64,0xffeacf96bbb59f2d,0xc086326436b38b1a,1 +np.float64,0xdccaea29b995e,0xdccaea29b995e,1 +np.float64,0x5948d21eb291b,0x5948d21eb291b,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0x7fef6d2c543eda58,0x408633a98593cdf5,1 +np.float64,0x7feda454f47b48a9,0x40863331cb6dc9f7,1 +np.float64,0x3fdd377cecba6ef8,0x3fdc4968f74a9c83,1 +np.float64,0x800644096d4c8814,0x800644096d4c8814,1 +np.float64,0xbfe33ca15ae67942,0xbfe23be5de832bd8,1 +np.float64,0xffce9582bd3d2b04,0xc086285abdf9bf9d,1 +np.float64,0x3fe6621e86acc43d,0x3fe4df231bfa93e1,1 +np.float64,0xee7d19e9dcfa3,0xee7d19e9dcfa3,1 +np.float64,0x800be5997277cb33,0x800be5997277cb33,1 +np.float64,0x82069041040e,0x82069041040e,1 +np.float64,0x800d6efdc19addfc,0x800d6efdc19addfc,1 +np.float64,0x7fb27770ee24eee1,0x40861ec5ed91b839,1 +np.float64,0x3fd506064caa0c0d,0x3fd4a9a66353fefd,1 +np.float64,0xbfeca9b36bf95367,0xbfe9c81f03ba37b8,1 +np.float64,0xffeab1b7bab5636f,0xc086325b47f61f2b,1 +np.float64,0xffc99f5b2e333eb8,0xc08626f03b08b412,1 +np.float64,0x3fbf1a71bc3e34e3,0x3fbf06fbcaa5de58,1 +np.float64,0x3fe75015736ea02b,0x3fe5a0cd8d763d8d,1 +np.float64,0xffe6a7442fad4e88,0xc086310b20addba4,1 +np.float64,0x3fe5d62ff86bac60,0x3fe46c033195bf28,1 +np.float64,0x7fd0b1f0362163df,0x4086290e857dc1be,1 +np.float64,0xbe0353737c06b,0xbe0353737c06b,1 +np.float64,0x7fec912d8739225a,0x408632e627704635,1 +np.float64,0xded8ba2fbdb18,0xded8ba2fbdb18,1 +np.float64,0x7fec0b53fdf816a7,0x408632c052bc1bd2,1 +np.float64,0x7fe9640d12b2c819,0x408631f4c2ba54d8,1 +np.float64,0x800be714eeb7ce2a,0x800be714eeb7ce2a,1 +np.float64,0xbfcf444a793e8894,0xbfcef6c126b54853,1 +np.float64,0xffeb20cf1bf6419e,0xc086327c4e6ffe80,1 +np.float64,0xc07de22180fd,0xc07de22180fd,1 +np.float64,0xffed129d387a253a,0xc086330a15ad0adb,1 +np.float64,0x3fd9e94fedb3d2a0,0x3fd94049924706a8,1 +np.float64,0x7fe6ba488c2d7490,0x40863111d51e7861,1 +np.float64,0xbfebbdf25db77be5,0xbfe91740ad7ba521,1 +np.float64,0x7fbc6c3c4838d878,0x40862239160cb613,1 +np.float64,0xbfefa82ecebf505e,0xbfebf5f31957dffd,1 +np.float64,0x800bebeb7ad7d7d7,0x800bebeb7ad7d7d7,1 +np.float64,0x7fecccc6f8f9998d,0x408632f6c6da8aac,1 +np.float64,0xcbe4926197ca,0xcbe4926197ca,1 +np.float64,0x2c5d9fd858bb5,0x2c5d9fd858bb5,1 +np.float64,0xbfe9fb021073f604,0xbfe7bddc61f1151a,1 +np.float64,0xbfebb18572f7630b,0xbfe90ddc5002313f,1 +np.float64,0x13bb0d3227763,0x13bb0d3227763,1 +np.float64,0x3feefa5e5cbdf4bd,0x3feb79b9e8ce16bf,1 +np.float64,0x3fc97f086132fe10,0x3fc9549fc8e15ecb,1 +np.float64,0xffe70887c06e110f,0xc086312d30fd31cf,1 +np.float64,0xa00c113540182,0xa00c113540182,1 +np.float64,0x800950984772a131,0x800950984772a131,1 +np.float64,0x1,0x1,1 +np.float64,0x3fd83b4026b07680,0x3fd7afdc659d9a34,1 +np.float64,0xbfe32348fbe64692,0xbfe226292a706a1a,1 +np.float64,0x800b894dcc77129c,0x800b894dcc77129c,1 +np.float64,0xeb2ca419d6595,0xeb2ca419d6595,1 +np.float64,0xbff0000000000000,0xbfec34366179d427,1 +np.float64,0x3feb269e99f64d3d,0x3fe8a4634b927a21,1 +np.float64,0xbfe83149d7706294,0xbfe655a2b245254e,1 +np.float64,0xbfe6eef3ca6ddde8,0xbfe5521310e24d16,1 +np.float64,0x3fea89a4b7b51349,0x3fe82c1fc69edcec,1 +np.float64,0x800f2a8bf17e5518,0x800f2a8bf17e5518,1 +np.float64,0x800f71fac29ee3f6,0x800f71fac29ee3f6,1 +np.float64,0xe7cb31f1cf966,0xe7cb31f1cf966,1 +np.float64,0x3b0f8752761f2,0x3b0f8752761f2,1 +np.float64,0x3fea27dea3744fbd,0x3fe7e0a4705476b2,1 +np.float64,0xbfa97c019c32f800,0xbfa97950c1257b92,1 +np.float64,0xffeff13647ffe26c,0xc08633cadc7105ed,1 +np.float64,0x3feee162353dc2c4,0x3feb67c2da0fbce8,1 +np.float64,0x80088c0807911810,0x80088c0807911810,1 +np.float64,0x3fe936ab1db26d56,0x3fe72489bc69719d,1 +np.float64,0xa2f84bd545f0a,0xa2f84bd545f0a,1 +np.float64,0xbfed445ed27a88be,0xbfea3acac0aaf482,1 +np.float64,0x800faf3e69df5e7d,0x800faf3e69df5e7d,1 +np.float64,0x3fc145a330228b46,0x3fc13853f11b1c90,1 +np.float64,0xbfe25ec5abe4bd8c,0xbfe17c9e9b486f07,1 +np.float64,0x3fe119b160e23363,0x3fe0604b10178966,1 +np.float64,0x7fe0cbf2836197e4,0x40862ea6831e5f4a,1 +np.float64,0x3fe75dd3b4eebba8,0x3fe5abe80fd628fb,1 +np.float64,0x3f7c391000387220,0x3f7c39015d8f3a36,1 +np.float64,0x899d9cad133b4,0x899d9cad133b4,1 +np.float64,0x3fe5f0e34febe1c6,0x3fe4820cefe138fc,1 +np.float64,0x7fe060dfdba0c1bf,0x40862e72de8afcd0,1 +np.float64,0xbfae42f7103c85f0,0xbfae3e7630819c60,1 +np.float64,0x35f1f2c06be5,0x35f1f2c06be5,1 +np.float64,0xffc5194d362a329c,0xc086256266c8b7ad,1 +np.float64,0xbfda034f1b34069e,0xbfd95860a44c43ad,1 +np.float64,0x32bcebca6579e,0x32bcebca6579e,1 +np.float64,0xbfd1751ebca2ea3e,0xbfd13f79f45bf75c,1 +np.float64,0x3fee4fa1e5bc9f44,0x3feafe69e0d6c1c7,1 +np.float64,0x7f9c03cd5038079a,0x4086170459172900,1 +np.float64,0x7fc5fb6d6d2bf6da,0x408625b6651cfc73,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0xffd1a8162ca3502c,0xc0862981333931ad,1 +np.float64,0x7fc415c198282b82,0x408624fd8c155d1b,1 +np.float64,0xffda37fbe7b46ff8,0xc0862caae7865c43,1 +np.float64,0xbfef4312257e8624,0xbfebadd89f3ee31c,1 +np.float64,0xbfec45e1fd788bc4,0xbfe97d8b14db6274,1 +np.float64,0xbfe6fdcfd26dfba0,0xbfe55e25b770d00a,1 +np.float64,0x7feb66d424f6cda7,0x40863290d9ff7ea2,1 +np.float64,0x8b08a29916115,0x8b08a29916115,1 +np.float64,0xffe12ca25c625944,0xc0862ed40d769f72,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0x804925e100925,0x804925e100925,1 +np.float64,0xcebf3e019d9,0xcebf3e019d9,1 +np.float64,0xbfd5d75d4aabaeba,0xbfd57027671dedf7,1 +np.float64,0x800b829ecd37053e,0x800b829ecd37053e,1 +np.float64,0x800b1205daf6240c,0x800b1205daf6240c,1 +np.float64,0x3fdf7e9889befd31,0x3fde583fdff406c3,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0x3fdc09760d3812ec,0x3fdb35b55c8090c6,1 +np.float64,0x800c4d99e4f89b34,0x800c4d99e4f89b34,1 +np.float64,0xffbaa6772e354cf0,0xc08621b535badb2f,1 +np.float64,0xbfc91188fd322310,0xbfc8e933b5d25ea7,1 +np.float64,0xffc1b947f4237290,0xc08623fd69164251,1 +np.float64,0x3fc6ab3b252d5678,0x3fc68d50bbac106d,1 +np.float64,0xffac8eb968391d70,0xc0861cb734833355,1 +np.float64,0xffe29a35c365346b,0xc0862f77a1aed6d8,1 +np.float64,0x3fde14b9543c2973,0x3fdd122697779015,1 +np.float64,0xbf10f5400021e000,0xbf10f53fffef1383,1 +np.float64,0xffe0831aa3e10635,0xc0862e838553d0ca,1 +np.float64,0x3fccbadbcf3975b8,0x3fcc7e768d0154ec,1 +np.float64,0x3fe092ef66e125df,0x3fdfd212a7116c9b,1 +np.float64,0xbfd727f039ae4fe0,0xbfd6adad040b2334,1 +np.float64,0xbfe4223b93a84477,0xbfe2ff7587364db4,1 +np.float64,0x3f4e5c3a003cb874,0x3f4e5c39b75c70f7,1 +np.float64,0x800e76b1a87ced63,0x800e76b1a87ced63,1 +np.float64,0x3fed2b7368fa56e7,0x3fea2863b9131b8c,1 +np.float64,0xffadb76ec43b6ee0,0xc0861d08ae79f20c,1 +np.float64,0x800b6a0cd1f6d41a,0x800b6a0cd1f6d41a,1 +np.float64,0xffee6aa943fcd552,0xc0863366a24250d5,1 +np.float64,0xbfe68cbc4e6d1978,0xbfe502040591aa5b,1 +np.float64,0xff859a38002b3480,0xc0860f64726235cc,1 +np.float64,0x3474d13e68e9b,0x3474d13e68e9b,1 +np.float64,0xffc11d49f6223a94,0xc08623b5c2df9712,1 +np.float64,0x800d82d019bb05a0,0x800d82d019bb05a0,1 +np.float64,0xbfe2af0192255e03,0xbfe1c20e38106388,1 +np.float64,0x3fe97d13c032fa28,0x3fe75bba11a65f86,1 +np.float64,0x7fcd457e133a8afb,0x40862800e80f5863,1 +np.float64,0x9d7254cf3ae4b,0x9d7254cf3ae4b,1 +np.float64,0x8003047675a608ee,0x8003047675a608ee,1 +np.float64,0x3fead6cd7d75ad9a,0x3fe8676138e5ff93,1 +np.float64,0x3fea6ee3b0f4ddc7,0x3fe817838a2bcbe3,1 +np.float64,0x3feed0edea7da1dc,0x3feb5bea3cb12fe2,1 +np.float64,0x88003fe510008,0x88003fe510008,1 +np.float64,0x3fe64cadc56c995c,0x3fe4cd8ead87fc79,1 +np.float64,0xaae30c5955c62,0xaae30c5955c62,1 +np.float64,0x7fc8c97cae3192f8,0x408626ac579f4fc5,1 +np.float64,0xbfc2bc0e8b25781c,0xbfc2ab188fdab7dc,1 +np.float64,0xc8f8e5e791f1d,0xc8f8e5e791f1d,1 +np.float64,0x3fecfaa5d6f9f54c,0x3fea0444dabe5a15,1 +np.float64,0xbfeb93740ff726e8,0xbfe8f71a9ab13baf,1 +np.float64,0xffd951236c32a246,0xc0862c633a4661eb,1 +np.float64,0x3fddbc5fcd3b78c0,0x3fdcc21c1a0a9246,1 +np.float64,0xbfd242443da48488,0xbfd20512d91f7924,1 +np.float64,0x2a3689b2546d2,0x2a3689b2546d2,1 +np.float64,0xffe24c67382498ce,0xc0862f55e4ea6283,1 +np.float64,0x800cbfce22197f9c,0x800cbfce22197f9c,1 +np.float64,0x8002269428044d29,0x8002269428044d29,1 +np.float64,0x7fd44babbd289756,0x40862a9e79b51c3b,1 +np.float64,0x3feea056a27d40ad,0x3feb38dcddb682f0,1 +np.float64,0xffeca8174b39502e,0xc08632ec8f88a5b2,1 +np.float64,0x7fbe0853a03c10a6,0x408622a9e8d53a9e,1 +np.float64,0xbfa9704b2432e090,0xbfa96d9dfc8c0cc2,1 +np.float64,0x800bda28fab7b452,0x800bda28fab7b452,1 +np.float64,0xbfb0ffa2f621ff48,0xbfb0fc71f405e82a,1 +np.float64,0xbfe66c04216cd808,0xbfe4e73ea3b58cf6,1 +np.float64,0x3fe336ea5d266dd5,0x3fe236ffcf078c62,1 +np.float64,0xbfe7729ae6aee536,0xbfe5bcad4b8ac62d,1 +np.float64,0x558cfc96ab1a0,0x558cfc96ab1a0,1 +np.float64,0xbfe7d792aaefaf26,0xbfe60de1b8f0279d,1 +np.float64,0xffd19ef6bda33dee,0xc086297d0ffee3c7,1 +np.float64,0x666b3ab4ccd68,0x666b3ab4ccd68,1 +np.float64,0xffa3d89e3c27b140,0xc08619cdeb2c1e49,1 +np.float64,0xbfb1728f7f62f,0xbfb1728f7f62f,1 +np.float64,0x3fc76319f32ec634,0x3fc74247bd005e20,1 +np.float64,0xbfbf1caee23e3960,0xbfbf0934c13d70e2,1 +np.float64,0x7fe79626f32f2c4d,0x4086315dcc68a5cb,1 +np.float64,0xffee78c4603cf188,0xc086336a572c05c2,1 +np.float64,0x3fce546eda3ca8de,0x3fce0d8d737fd31d,1 +np.float64,0xa223644d4446d,0xa223644d4446d,1 +np.float64,0x3fecea878b79d510,0x3fe9f850d50973f6,1 +np.float64,0x3fc20e0ea1241c1d,0x3fc1fedda87c5e75,1 +np.float64,0xffd1c5a99ca38b54,0xc086298e8e94cd47,1 +np.float64,0x7feb2c299d765852,0x4086327fa6db2808,1 +np.float64,0xcaf9d09595f3a,0xcaf9d09595f3a,1 +np.float64,0xbfe293bf21e5277e,0xbfe1aa7f6ac274ef,1 +np.float64,0xbfbaa3c8ce354790,0xbfba97891df19c01,1 +np.float64,0x3faf5784543eaf09,0x3faf5283acc7d71d,1 +np.float64,0x7fc014f8f62029f1,0x40862336531c662d,1 +np.float64,0xbfe0d9ac2d61b358,0xbfe027bce36699ca,1 +np.float64,0x8003e112ff27c227,0x8003e112ff27c227,1 +np.float64,0xffec0d4151381a82,0xc08632c0df718dd0,1 +np.float64,0x7fa2156fb0242ade,0x4086190f7587d708,1 +np.float64,0xd698358dad307,0xd698358dad307,1 +np.float64,0xbfed8d1b0efb1a36,0xbfea70588ef9ba18,1 +np.float64,0xbfd2cae6a92595ce,0xbfd28851e2185dee,1 +np.float64,0xffe7a36764ef46ce,0xc086316249c9287a,1 +np.float64,0xbfdb8ad8e5b715b2,0xbfdac19213c14315,1 +np.float64,0x3b5dba6076bc,0x3b5dba6076bc,1 +np.float64,0x800e6e8347bcdd07,0x800e6e8347bcdd07,1 +np.float64,0x800bea9f3fb7d53f,0x800bea9f3fb7d53f,1 +np.float64,0x7fb6d0e5fc2da1cb,0x4086207714c4ab85,1 +np.float64,0x0,0x0,1 +np.float64,0xbfe2aa1e1465543c,0xbfe1bdd550ef2966,1 +np.float64,0x7fd3f6a47fa7ed48,0x40862a7caea33055,1 +np.float64,0x800094e292c129c6,0x800094e292c129c6,1 +np.float64,0x800e1500ecbc2a02,0x800e1500ecbc2a02,1 +np.float64,0xbfd8ff6f97b1fee0,0xbfd866f84346ecdc,1 +np.float64,0x681457d0d028c,0x681457d0d028c,1 +np.float64,0x3feed0b5987da16b,0x3feb5bc1ab424984,1 +np.float64,0x3fdbcb34cdb79668,0x3fdafca540f32c06,1 +np.float64,0xbfdc9eacdcb93d5a,0xbfdbbe274aa8aeb0,1 +np.float64,0xffe6e35d526dc6ba,0xc08631203df38ed2,1 +np.float64,0x3fcac1cc65358398,0x3fca90de41889613,1 +np.float64,0xbfebf07a55b7e0f5,0xbfe93d6007db0c67,1 +np.float64,0xbfd7a7b1e7af4f64,0xbfd725a9081c22cb,1 +np.float64,0x800232bd7de4657c,0x800232bd7de4657c,1 +np.float64,0x7fb1dae43c23b5c7,0x40861e80f5c0a64e,1 +np.float64,0x8013ded70027c,0x8013ded70027c,1 +np.float64,0x7fc4373a59286e74,0x4086250ad60575d0,1 +np.float64,0xbfe9980fd6733020,0xbfe770d1352d0ed3,1 +np.float64,0x8008a66b8dd14cd7,0x8008a66b8dd14cd7,1 +np.float64,0xbfaebc67f83d78d0,0xbfaeb7b015848478,1 +np.float64,0xffd0c52762218a4e,0xc0862917b564afc6,1 +np.float64,0xbfd503860aaa070c,0xbfd4a74618441561,1 +np.float64,0x5bdacabcb7b5a,0x5bdacabcb7b5a,1 +np.float64,0xf3623cffe6c48,0xf3623cffe6c48,1 +np.float64,0x7fe16c6c7ea2d8d8,0x40862ef18d90201f,1 +np.float64,0x3ff0000000000000,0x3fec34366179d427,1 +np.float64,0x7fe19cbc84233978,0x40862f079dcbc169,1 +np.float64,0x3fcfd3d6933fa7ad,0x3fcf822187907f6b,1 +np.float64,0x8007d65d672facbc,0x8007d65d672facbc,1 +np.float64,0xffca6115aa34c22c,0xc086272bd7728750,1 +np.float64,0xbfe77ab1556ef562,0xbfe5c332fb55b66e,1 +np.float64,0x8001ed797c23daf4,0x8001ed797c23daf4,1 +np.float64,0x7fdd3d16cb3a7a2d,0x40862d8a2c869281,1 +np.float64,0x75f36beaebe6e,0x75f36beaebe6e,1 +np.float64,0xffda3c2798b47850,0xc0862cac2d3435df,1 +np.float64,0xbfa37cc3c426f980,0xbfa37b8f9d3ec4b7,1 +np.float64,0x80030ea8bd061d52,0x80030ea8bd061d52,1 +np.float64,0xffe41f7617683eec,0xc08630188a3e135e,1 +np.float64,0x800e40590dfc80b2,0x800e40590dfc80b2,1 +np.float64,0x3fea950d80f52a1c,0x3fe834e74481e66f,1 +np.float64,0xffec95e39a792bc6,0xc08632e779150084,1 +np.float64,0xbfd54310ecaa8622,0xbfd4e39c4d767002,1 +np.float64,0xffd40c9971a81932,0xc0862a85764eb2f4,1 +np.float64,0xb0a2230761445,0xb0a2230761445,1 +np.float64,0x80092973661252e7,0x80092973661252e7,1 +np.float64,0x7fb13b030a227605,0x40861e380aeb5549,1 +np.float64,0x3fbd5d8db23abb1b,0x3fbd4d2a0b94af36,1 +np.float64,0xbfd6cb8567ad970a,0xbfd656b19ab8fa61,1 +np.float64,0xbfe7c0fd346f81fa,0xbfe5fbc28807c794,1 +np.float64,0xffd586579eab0cb0,0xc0862b16e65c0754,1 +np.float64,0x8000e52da461ca5c,0x8000e52da461ca5c,1 +np.float64,0x3fc69d17112d3a2e,0x3fc67f63fe1fea1c,1 +np.float64,0x3fd36ba892a6d750,0x3fd3225be1fa87af,1 +np.float64,0x7fe2850598e50a0a,0x40862f6e7fcd6c1a,1 +np.float64,0x80074a4dacce949c,0x80074a4dacce949c,1 +np.float64,0x3fe25eea4d64bdd5,0x3fe17cbe5fefbd4e,1 +np.float64,0xbfe250c08be4a181,0xbfe17074c520e5de,1 +np.float64,0x8000f5665481eacd,0x8000f5665481eacd,1 +np.float64,0x7fdb3172f83662e5,0x40862cf5a46764f1,1 +np.float64,0x7fd8ed82d631db05,0x40862c4380658afa,1 +np.float64,0xffec5163feb8a2c7,0xc08632d4366aab06,1 +np.float64,0x800ff14ac6ffe296,0x800ff14ac6ffe296,1 +np.float64,0xbfc7cc7aea2f98f4,0xbfc7a9e9cb38f023,1 +np.float64,0xbfd50cdfc32a19c0,0xbfd4b0282b452fb2,1 +np.float64,0xbfec256d75b84adb,0xbfe965328c1860b2,1 +np.float64,0xffe860c4cdb0c189,0xc08631a164b7059a,1 +np.float64,0xbfe23de164247bc3,0xbfe16011bffa4651,1 +np.float64,0xcc96b39d992d7,0xcc96b39d992d7,1 +np.float64,0xbfec43acf938875a,0xbfe97be3a13b50c3,1 +np.float64,0xc4f587bb89eb1,0xc4f587bb89eb1,1 +np.float64,0xbfcd971d9a3b2e3c,0xbfcd5537ad15dab4,1 +np.float64,0xffcaf00d8035e01c,0xc0862756bf2cdf8f,1 +np.float64,0x8008c26f93f184e0,0x8008c26f93f184e0,1 +np.float64,0xfff0000000000000,0xfff0000000000000,1 +np.float64,0xbfd13552c3a26aa6,0xbfd101e5e252eb7b,1 +np.float64,0x7fe497235e292e46,0x4086304792fb423a,1 +np.float64,0x7fd6dc0192adb802,0x40862b921a5e935d,1 +np.float64,0xf16d49a1e2da9,0xf16d49a1e2da9,1 +np.float64,0xffef6b1b71bed636,0xc08633a8feed0178,1 +np.float64,0x7fe15ec62f62bd8b,0x40862eeb46b193dc,1 +np.float64,0x3fef4369ec7e86d4,0x3febae1768be52cc,1 +np.float64,0x4f84e8e89f09e,0x4f84e8e89f09e,1 +np.float64,0xbfe19e71ade33ce4,0xbfe0d4fad05e0ebc,1 +np.float64,0xbfe7e1df1defc3be,0xbfe616233e15b3d0,1 +np.float64,0x7fe9349afdb26935,0x408631e5c1c5c6cd,1 +np.float64,0xff90c35ac82186c0,0xc08612e896a06467,1 +np.float64,0xbfe88bf8807117f1,0xbfe69dc786464422,1 +np.float64,0x3feaf9ff6475f3fe,0x3fe8825132410d18,1 +np.float64,0x9ff487a33fe91,0x9ff487a33fe91,1 +np.float64,0x7fedb30159bb6602,0x40863335c0419322,1 +np.float64,0x800bddf6ed77bbee,0x800bddf6ed77bbee,1 +np.float64,0x3fd919df133233be,0x3fd87f963b9584ce,1 +np.float64,0x7fd64da3b52c9b46,0x40862b5fa9dd3b6d,1 +np.float64,0xbfce288db43c511c,0xbfcde2d953407ae8,1 +np.float64,0x3fe88bc72771178e,0x3fe69da05e9e9b4e,1 +np.float64,0x800feafe259fd5fc,0x800feafe259fd5fc,1 +np.float64,0x3febbbff4a7777ff,0x3fe915c78f6a280f,1 +np.float64,0xbfefbde4417f7bc9,0xbfec055f4fb2cd21,1 +np.float64,0xf13ca103e2794,0xf13ca103e2794,1 +np.float64,0x3fe6423884ec8471,0x3fe4c4f97eaa876a,1 +np.float64,0x800ca01c8cb94039,0x800ca01c8cb94039,1 +np.float64,0x3fbc5073f638a0e0,0x3fbc41c163ac0001,1 +np.float64,0xbfda0d83cfb41b08,0xbfd961d4cacc82cf,1 +np.float64,0x800f37b8f17e6f72,0x800f37b8f17e6f72,1 +np.float64,0x7fe0b08cd7216119,0x40862e996becb771,1 +np.float64,0xffd4222a40a84454,0xc0862a8e0c984917,1 +np.float64,0x7feb3df98ff67bf2,0x40863284e3a86ee6,1 +np.float64,0x8001d5d291e3aba6,0x8001d5d291e3aba6,1 +np.float64,0xbfd3c21629a7842c,0xbfd3750095a5894a,1 +np.float64,0xbfd069eb48a0d3d6,0xbfd03d2b1c2ae9db,1 +np.float64,0xffeb1be2973637c4,0xc086327ada954662,1 +np.float64,0x3fc659f97e2cb3f3,0x3fc63d497a451f10,1 +np.float64,0xbfeb624bc776c498,0xbfe8d1cf7c0626ca,1 +np.float64,0xffeedf26e23dbe4d,0xc08633850baab425,1 +np.float64,0xffe70da48a6e1b48,0xc086312ef75d5036,1 +np.float64,0x2b4f4830569ea,0x2b4f4830569ea,1 +np.float64,0xffe82e7fcfb05cff,0xc0863190d4771f75,1 +np.float64,0x3fcc2c1fd5385840,0x3fcbf3211ddc5123,1 +np.float64,0x7fe22ced5a6459da,0x40862f481629ee6a,1 +np.float64,0x7fe13d2895e27a50,0x40862edbbc411899,1 +np.float64,0x3fd54c4280aa9884,0x3fd4ec55a946c5d7,1 +np.float64,0xffd75b8e01aeb71c,0xc0862bbe42d76e5e,1 +np.float64,0x7f1d5376fe3ab,0x7f1d5376fe3ab,1 +np.float64,0x3fe6ec6c902dd8d9,0x3fe55004f35192bd,1 +np.float64,0x5634504aac68b,0x5634504aac68b,1 +np.float64,0x3feedb0d83bdb61b,0x3feb633467467ce6,1 +np.float64,0x3fddb1c0dcbb6380,0x3fdcb87a02daf1fa,1 +np.float64,0xbfa832da443065b0,0xbfa8308c70257209,1 +np.float64,0x87a9836b0f531,0x87a9836b0f531,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arctan.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arctan.csv new file mode 100644 index 0000000000000000000000000000000000000000..c03e144a994afceb4b43622381bd07134dec1e9e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arctan.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0x3f338252,0x3f1c8d9c,3 +np.float32,0x7e569df2,0x3fc90fdb,3 +np.float32,0xbf347e25,0xbf1d361f,3 +np.float32,0xbf0a654e,0xbefdbfd2,3 +np.float32,0x8070968e,0x8070968e,3 +np.float32,0x803cfb27,0x803cfb27,3 +np.float32,0x8024362e,0x8024362e,3 +np.float32,0xfd55dca0,0xbfc90fdb,3 +np.float32,0x592b82,0x592b82,3 +np.float32,0x802eb8e1,0x802eb8e1,3 +np.float32,0xbc5fef40,0xbc5febae,3 +np.float32,0x3f1f6ce8,0x3f0e967c,3 +np.float32,0x20bedc,0x20bedc,3 +np.float32,0xbf058860,0xbef629c7,3 +np.float32,0x311504,0x311504,3 +np.float32,0xbd23f560,0xbd23defa,3 +np.float32,0x800ff4e8,0x800ff4e8,3 +np.float32,0x355009,0x355009,3 +np.float32,0x3f7be42e,0x3f46fdb3,3 +np.float32,0xbf225f7c,0xbf10b364,3 +np.float32,0x8074fa9e,0x8074fa9e,3 +np.float32,0xbea4b418,0xbe9f59ce,3 +np.float32,0xbe909c14,0xbe8cf045,3 +np.float32,0x80026bee,0x80026bee,3 +np.float32,0x3d789c20,0x3d784e25,3 +np.float32,0x7f56a4ba,0x3fc90fdb,3 +np.float32,0xbf70d141,0xbf413db7,3 +np.float32,0xbf2c4886,0xbf17a505,3 +np.float32,0x7e2993bf,0x3fc90fdb,3 +np.float32,0xbe2c8a30,0xbe2aef28,3 +np.float32,0x803f82d9,0x803f82d9,3 +np.float32,0x3f062fbc,0x3ef730a1,3 +np.float32,0x3f349ee0,0x3f1d4bfa,3 +np.float32,0x3eccfb69,0x3ec2f9e8,3 +np.float32,0x7e8a85dd,0x3fc90fdb,3 +np.float32,0x25331,0x25331,3 +np.float32,0x464f19,0x464f19,3 +np.float32,0x8035c818,0x8035c818,3 +np.float32,0x802e5799,0x802e5799,3 +np.float32,0x64e1c0,0x64e1c0,3 +np.float32,0x701cc2,0x701cc2,3 +np.float32,0x265c57,0x265c57,3 +np.float32,0x807a053f,0x807a053f,3 +np.float32,0x3bd2c412,0x3bd2c354,3 +np.float32,0xff28f1c8,0xbfc90fdb,3 +np.float32,0x7f08f08b,0x3fc90fdb,3 +np.float32,0x800c50e4,0x800c50e4,3 +np.float32,0x369674,0x369674,3 +np.float32,0xbf5b7db3,0xbf3571bf,3 +np.float32,0x7edcf5e2,0x3fc90fdb,3 +np.float32,0x800e5d4b,0x800e5d4b,3 +np.float32,0x80722554,0x80722554,3 +np.float32,0x693f33,0x693f33,3 +np.float32,0x800844e4,0x800844e4,3 +np.float32,0xbf111b82,0xbf0402ec,3 +np.float32,0x7df9c9ac,0x3fc90fdb,3 +np.float32,0xbf6619a6,0xbf3b6f57,3 +np.float32,0x8002fafe,0x8002fafe,3 +np.float32,0xfe1e67f8,0xbfc90fdb,3 +np.float32,0x3f7f4bf8,0x3f48b5b7,3 +np.float32,0x7f017b20,0x3fc90fdb,3 +np.float32,0x2d9b07,0x2d9b07,3 +np.float32,0x803aa174,0x803aa174,3 +np.float32,0x7d530336,0x3fc90fdb,3 +np.float32,0x80662195,0x80662195,3 +np.float32,0xfd5ebcf0,0xbfc90fdb,3 +np.float32,0xbe7b8dcc,0xbe76ab59,3 +np.float32,0x7f2bacaf,0x3fc90fdb,3 +np.float32,0x3f194fc4,0x3f0a229e,3 +np.float32,0x7ee21cdf,0x3fc90fdb,3 +np.float32,0x3f5a17fc,0x3f34a307,3 +np.float32,0x7f100c58,0x3fc90fdb,3 +np.float32,0x7e9128f5,0x3fc90fdb,3 +np.float32,0xbf2107c6,0xbf0fbdb4,3 +np.float32,0xbd29c800,0xbd29af22,3 +np.float32,0xbf5af499,0xbf3522a6,3 +np.float32,0x801bde44,0x801bde44,3 +np.float32,0xfeb4761a,0xbfc90fdb,3 +np.float32,0x3d88aa1b,0x3d887650,3 +np.float32,0x7eba5e0b,0x3fc90fdb,3 +np.float32,0x803906bd,0x803906bd,3 +np.float32,0x80101512,0x80101512,3 +np.float32,0x7e898f83,0x3fc90fdb,3 +np.float32,0x806406d3,0x806406d3,3 +np.float32,0x7ed20fc0,0x3fc90fdb,3 +np.float32,0x20827d,0x20827d,3 +np.float32,0x3f361359,0x3f1e43fe,3 +np.float32,0xfe4ef8d8,0xbfc90fdb,3 +np.float32,0x805e7d2d,0x805e7d2d,3 +np.float32,0xbe4316b0,0xbe40c745,3 +np.float32,0xbf0a1c06,0xbefd4e5a,3 +np.float32,0x3e202860,0x3e1edee1,3 +np.float32,0xbeb32a2c,0xbeac5899,3 +np.float32,0xfe528838,0xbfc90fdb,3 +np.float32,0x2f73e2,0x2f73e2,3 +np.float32,0xbe16e010,0xbe15cc27,3 +np.float32,0x3f50d6c5,0x3f2f2d75,3 +np.float32,0xbe88a6a2,0xbe8589c7,3 +np.float32,0x3ee36060,0x3ed5fb36,3 +np.float32,0x6c978b,0x6c978b,3 +np.float32,0x7f1b735f,0x3fc90fdb,3 +np.float32,0x3dad8256,0x3dad1885,3 +np.float32,0x807f5094,0x807f5094,3 +np.float32,0x65c358,0x65c358,3 +np.float32,0xff315ce4,0xbfc90fdb,3 +np.float32,0x7411a6,0x7411a6,3 +np.float32,0x80757b04,0x80757b04,3 +np.float32,0x3eec73a6,0x3edd82f4,3 +np.float32,0xfe9f69e8,0xbfc90fdb,3 +np.float32,0x801f4fa8,0x801f4fa8,3 +np.float32,0xbf6f2fae,0xbf405f79,3 +np.float32,0xfea206b6,0xbfc90fdb,3 +np.float32,0x3f257301,0x3f12e1ee,3 +np.float32,0x7ea6a506,0x3fc90fdb,3 +np.float32,0x80800000,0x80800000,3 +np.float32,0xff735c2d,0xbfc90fdb,3 +np.float32,0x80197f95,0x80197f95,3 +np.float32,0x7f4a354f,0x3fc90fdb,3 +np.float32,0xff320c00,0xbfc90fdb,3 +np.float32,0x3f2659de,0x3f138484,3 +np.float32,0xbe5451bc,0xbe515a52,3 +np.float32,0x3f6e228c,0x3f3fcf7c,3 +np.float32,0x66855a,0x66855a,3 +np.float32,0x8034b3a3,0x8034b3a3,3 +np.float32,0xbe21a2fc,0xbe20505d,3 +np.float32,0x7f79e2dc,0x3fc90fdb,3 +np.float32,0xbe19a8e0,0xbe18858c,3 +np.float32,0x10802c,0x10802c,3 +np.float32,0xfeee579e,0xbfc90fdb,3 +np.float32,0x3f3292c8,0x3f1becc0,3 +np.float32,0xbf595a71,0xbf34350a,3 +np.float32,0xbf7c3373,0xbf4725f4,3 +np.float32,0xbdd30938,0xbdd24b36,3 +np.float32,0x153a17,0x153a17,3 +np.float32,0x807282a0,0x807282a0,3 +np.float32,0xfe817322,0xbfc90fdb,3 +np.float32,0x3f1b3628,0x3f0b8771,3 +np.float32,0x41be8f,0x41be8f,3 +np.float32,0x7f4a8343,0x3fc90fdb,3 +np.float32,0x3dc4ea2b,0x3dc44fae,3 +np.float32,0x802aac25,0x802aac25,3 +np.float32,0xbf20e1d7,0xbf0fa284,3 +np.float32,0xfd91a1b0,0xbfc90fdb,3 +np.float32,0x3f0d5476,0x3f012265,3 +np.float32,0x21c916,0x21c916,3 +np.float32,0x807df399,0x807df399,3 +np.float32,0x7e207b4c,0x3fc90fdb,3 +np.float32,0x8055f8ff,0x8055f8ff,3 +np.float32,0x7edf3b01,0x3fc90fdb,3 +np.float32,0x803a8df3,0x803a8df3,3 +np.float32,0x3ce3b002,0x3ce3a101,3 +np.float32,0x3f62dd54,0x3f39a248,3 +np.float32,0xff33ae10,0xbfc90fdb,3 +np.float32,0x7e3de69d,0x3fc90fdb,3 +np.float32,0x8024581e,0x8024581e,3 +np.float32,0xbf4ac99d,0xbf2b807a,3 +np.float32,0x3f157d19,0x3f074d8c,3 +np.float32,0xfed383f4,0xbfc90fdb,3 +np.float32,0xbf5a39fa,0xbf34b6b8,3 +np.float32,0x800d757d,0x800d757d,3 +np.float32,0x807d606b,0x807d606b,3 +np.float32,0x3e828f89,0x3e7fac2d,3 +np.float32,0x7a6604,0x7a6604,3 +np.float32,0x7dc7e72b,0x3fc90fdb,3 +np.float32,0x80144146,0x80144146,3 +np.float32,0x7c2eed69,0x3fc90fdb,3 +np.float32,0x3f5b4d8c,0x3f3555fc,3 +np.float32,0xfd8b7778,0xbfc90fdb,3 +np.float32,0xfc9d9140,0xbfc90fdb,3 +np.float32,0xbea265d4,0xbe9d4232,3 +np.float32,0xbe9344d0,0xbe8f65da,3 +np.float32,0x3f71f19a,0x3f41d65b,3 +np.float32,0x804a3f59,0x804a3f59,3 +np.float32,0x3e596290,0x3e563476,3 +np.float32,0x3e994ee4,0x3e94f546,3 +np.float32,0xbc103e00,0xbc103d0c,3 +np.float32,0xbf1cd896,0xbf0cb889,3 +np.float32,0x7f52b080,0x3fc90fdb,3 +np.float32,0xff584452,0xbfc90fdb,3 +np.float32,0x58b26b,0x58b26b,3 +np.float32,0x3f23cd4c,0x3f11b799,3 +np.float32,0x707d7,0x707d7,3 +np.float32,0xff732cff,0xbfc90fdb,3 +np.float32,0x3e41c2a6,0x3e3f7f0f,3 +np.float32,0xbf7058e9,0xbf40fdcf,3 +np.float32,0x7dca9857,0x3fc90fdb,3 +np.float32,0x7f0eb44b,0x3fc90fdb,3 +np.float32,0x8000405c,0x8000405c,3 +np.float32,0x4916ab,0x4916ab,3 +np.float32,0x4811a8,0x4811a8,3 +np.float32,0x3d69bf,0x3d69bf,3 +np.float32,0xfeadcf1e,0xbfc90fdb,3 +np.float32,0x3e08dbbf,0x3e080d58,3 +np.float32,0xff031f88,0xbfc90fdb,3 +np.float32,0xbe09cab8,0xbe08f818,3 +np.float32,0x21d7cd,0x21d7cd,3 +np.float32,0x3f23230d,0x3f113ea9,3 +np.float32,0x7e8a48d4,0x3fc90fdb,3 +np.float32,0x413869,0x413869,3 +np.float32,0x7e832990,0x3fc90fdb,3 +np.float32,0x800f5c09,0x800f5c09,3 +np.float32,0x7f5893b6,0x3fc90fdb,3 +np.float32,0x7f06b5b1,0x3fc90fdb,3 +np.float32,0xbe1cbee8,0xbe1b89d6,3 +np.float32,0xbf279f14,0xbf1468a8,3 +np.float32,0xfea86060,0xbfc90fdb,3 +np.float32,0x3e828174,0x3e7f91bb,3 +np.float32,0xff682c82,0xbfc90fdb,3 +np.float32,0x4e20f3,0x4e20f3,3 +np.float32,0x7f17d7e9,0x3fc90fdb,3 +np.float32,0x80671f92,0x80671f92,3 +np.float32,0x7f6dd100,0x3fc90fdb,3 +np.float32,0x3f219a4d,0x3f102695,3 +np.float32,0x803c9808,0x803c9808,3 +np.float32,0x3c432ada,0x3c43287d,3 +np.float32,0xbd3db450,0xbd3d91a2,3 +np.float32,0x3baac135,0x3baac0d0,3 +np.float32,0xff7fffe1,0xbfc90fdb,3 +np.float32,0xfe38a6f4,0xbfc90fdb,3 +np.float32,0x3dfb0a04,0x3df9cb04,3 +np.float32,0x800b05c2,0x800b05c2,3 +np.float32,0x644163,0x644163,3 +np.float32,0xff03a025,0xbfc90fdb,3 +np.float32,0x3f7d506c,0x3f47b641,3 +np.float32,0xff0e682a,0xbfc90fdb,3 +np.float32,0x3e09b7b0,0x3e08e567,3 +np.float32,0x7f72a216,0x3fc90fdb,3 +np.float32,0x7f800000,0x3fc90fdb,3 +np.float32,0x8050a281,0x8050a281,3 +np.float32,0x7edafa2f,0x3fc90fdb,3 +np.float32,0x3f4e0df6,0x3f2d7f2f,3 +np.float32,0xbf6728e0,0xbf3c050f,3 +np.float32,0x3e904ce4,0x3e8ca6eb,3 +np.float32,0x0,0x0,3 +np.float32,0xfd215070,0xbfc90fdb,3 +np.float32,0x7e406b15,0x3fc90fdb,3 +np.float32,0xbf2803c9,0xbf14af18,3 +np.float32,0x5950c8,0x5950c8,3 +np.float32,0xbeddcec8,0xbed14faa,3 +np.float32,0xbec6457e,0xbebd2aa5,3 +np.float32,0xbf42843c,0xbf2656db,3 +np.float32,0x3ee9cba8,0x3edb5163,3 +np.float32,0xbe30c954,0xbe2f0f90,3 +np.float32,0xbeee6b44,0xbedf216f,3 +np.float32,0xbe35d818,0xbe33f7cd,3 +np.float32,0xbe47c630,0xbe454bc6,3 +np.float32,0x801b146f,0x801b146f,3 +np.float32,0x7f6788da,0x3fc90fdb,3 +np.float32,0x3eaef088,0x3ea8927d,3 +np.float32,0x3eb5983e,0x3eae81fc,3 +np.float32,0x40b51d,0x40b51d,3 +np.float32,0xfebddd04,0xbfc90fdb,3 +np.float32,0x3e591aee,0x3e55efea,3 +np.float32,0xbe2b6b48,0xbe29d81f,3 +np.float32,0xff4a8826,0xbfc90fdb,3 +np.float32,0x3e791df0,0x3e745eac,3 +np.float32,0x7c8f681f,0x3fc90fdb,3 +np.float32,0xfe7a15c4,0xbfc90fdb,3 +np.float32,0x3c8963,0x3c8963,3 +np.float32,0x3f0afa0a,0x3efea5cc,3 +np.float32,0xbf0d2680,0xbf00ff29,3 +np.float32,0x3dc306b0,0x3dc27096,3 +np.float32,0x7f4cf105,0x3fc90fdb,3 +np.float32,0xbe196060,0xbe183ea4,3 +np.float32,0x5caf1c,0x5caf1c,3 +np.float32,0x801f2852,0x801f2852,3 +np.float32,0xbe01aa0c,0xbe00fa53,3 +np.float32,0x3f0cfd32,0x3f00df7a,3 +np.float32,0x7d82038e,0x3fc90fdb,3 +np.float32,0x7f7b927f,0x3fc90fdb,3 +np.float32,0xbe93b2e4,0xbe8fcb7f,3 +np.float32,0x1ffe8c,0x1ffe8c,3 +np.float32,0x3faaf6,0x3faaf6,3 +np.float32,0x3e32b1b8,0x3e30e9ab,3 +np.float32,0x802953c0,0x802953c0,3 +np.float32,0xfe5d9844,0xbfc90fdb,3 +np.float32,0x3e1a59d0,0x3e193292,3 +np.float32,0x801c6edc,0x801c6edc,3 +np.float32,0x1ecf41,0x1ecf41,3 +np.float32,0xfe56b09c,0xbfc90fdb,3 +np.float32,0x7e878351,0x3fc90fdb,3 +np.float32,0x3f401e2c,0x3f24cfcb,3 +np.float32,0xbf204a40,0xbf0f35bb,3 +np.float32,0x3e155a98,0x3e144ee1,3 +np.float32,0xbf34f929,0xbf1d8838,3 +np.float32,0x801bbf70,0x801bbf70,3 +np.float32,0x7e7c9730,0x3fc90fdb,3 +np.float32,0x7cc23432,0x3fc90fdb,3 +np.float32,0xbf351638,0xbf1d9b97,3 +np.float32,0x80152094,0x80152094,3 +np.float32,0x3f2d731c,0x3f187219,3 +np.float32,0x804ab0b7,0x804ab0b7,3 +np.float32,0x37d6db,0x37d6db,3 +np.float32,0xbf3ccc56,0xbf22acbf,3 +np.float32,0x3e546f8c,0x3e5176e7,3 +np.float32,0xbe90e87e,0xbe8d3707,3 +np.float32,0x48256c,0x48256c,3 +np.float32,0x7e2468d0,0x3fc90fdb,3 +np.float32,0x807af47e,0x807af47e,3 +np.float32,0x3ed4b221,0x3ec996f0,3 +np.float32,0x3d3b1956,0x3d3af811,3 +np.float32,0xbe69d93c,0xbe65e7f0,3 +np.float32,0xff03ff14,0xbfc90fdb,3 +np.float32,0x801e79dc,0x801e79dc,3 +np.float32,0x3f467c53,0x3f28d63d,3 +np.float32,0x3eab6baa,0x3ea56a1c,3 +np.float32,0xbf15519c,0xbf072d1c,3 +np.float32,0x7f0bd8e8,0x3fc90fdb,3 +np.float32,0xbe1e0d1c,0xbe1cd053,3 +np.float32,0x8016edab,0x8016edab,3 +np.float32,0x7ecaa09b,0x3fc90fdb,3 +np.float32,0x3f72e6d9,0x3f4257a8,3 +np.float32,0xbefe787e,0xbeec29a4,3 +np.float32,0xbee989e8,0xbedb1af9,3 +np.float32,0xbe662db0,0xbe626a45,3 +np.float32,0x495bf7,0x495bf7,3 +np.float32,0x26c379,0x26c379,3 +np.float32,0x7f54d41a,0x3fc90fdb,3 +np.float32,0x801e7dd9,0x801e7dd9,3 +np.float32,0x80000000,0x80000000,3 +np.float32,0xfa3d3000,0xbfc90fdb,3 +np.float32,0xfa3cb800,0xbfc90fdb,3 +np.float32,0x264894,0x264894,3 +np.float32,0xff6de011,0xbfc90fdb,3 +np.float32,0x7e9045b2,0x3fc90fdb,3 +np.float32,0x3f2253a8,0x3f10aaf4,3 +np.float32,0xbd462bf0,0xbd460469,3 +np.float32,0x7f1796af,0x3fc90fdb,3 +np.float32,0x3e718858,0x3e6d3279,3 +np.float32,0xff437d7e,0xbfc90fdb,3 +np.float32,0x805ae7cb,0x805ae7cb,3 +np.float32,0x807e32e9,0x807e32e9,3 +np.float32,0x3ee0bafc,0x3ed3c453,3 +np.float32,0xbf721dee,0xbf41edc3,3 +np.float32,0xfec9f792,0xbfc90fdb,3 +np.float32,0x7f050720,0x3fc90fdb,3 +np.float32,0x182261,0x182261,3 +np.float32,0x3e39e678,0x3e37e5be,3 +np.float32,0x7e096e4b,0x3fc90fdb,3 +np.float32,0x103715,0x103715,3 +np.float32,0x3f7e7741,0x3f484ae4,3 +np.float32,0x3e29aea5,0x3e28277c,3 +np.float32,0x58c183,0x58c183,3 +np.float32,0xff72fdb2,0xbfc90fdb,3 +np.float32,0xbd9a9420,0xbd9a493c,3 +np.float32,0x7f1e07e7,0x3fc90fdb,3 +np.float32,0xff79f522,0xbfc90fdb,3 +np.float32,0x7c7d0e96,0x3fc90fdb,3 +np.float32,0xbeba9e8e,0xbeb2f504,3 +np.float32,0xfd880a80,0xbfc90fdb,3 +np.float32,0xff7f2a33,0xbfc90fdb,3 +np.float32,0x3e861ae0,0x3e83289c,3 +np.float32,0x7f0161c1,0x3fc90fdb,3 +np.float32,0xfe844ff8,0xbfc90fdb,3 +np.float32,0xbebf4b98,0xbeb7128e,3 +np.float32,0x652bee,0x652bee,3 +np.float32,0xff188a4b,0xbfc90fdb,3 +np.float32,0xbf800000,0xbf490fdb,3 +np.float32,0x80418711,0x80418711,3 +np.float32,0xbeb712d4,0xbeafd1f6,3 +np.float32,0xbf7cee28,0xbf478491,3 +np.float32,0xfe66c59c,0xbfc90fdb,3 +np.float32,0x4166a2,0x4166a2,3 +np.float32,0x3dfa1a2c,0x3df8deb5,3 +np.float32,0xbdbfbcb8,0xbdbf2e0f,3 +np.float32,0xfe60ef70,0xbfc90fdb,3 +np.float32,0xfe009444,0xbfc90fdb,3 +np.float32,0xfeb27aa0,0xbfc90fdb,3 +np.float32,0xbe99f7bc,0xbe95902b,3 +np.float32,0x8043d28d,0x8043d28d,3 +np.float32,0xfe5328c4,0xbfc90fdb,3 +np.float32,0x8017b27e,0x8017b27e,3 +np.float32,0x3ef1d2cf,0x3ee1ebd7,3 +np.float32,0x805ddd90,0x805ddd90,3 +np.float32,0xbf424263,0xbf262d17,3 +np.float32,0xfc99dde0,0xbfc90fdb,3 +np.float32,0xbf7ec13b,0xbf487015,3 +np.float32,0xbef727ea,0xbee64377,3 +np.float32,0xff15ce95,0xbfc90fdb,3 +np.float32,0x1fbba4,0x1fbba4,3 +np.float32,0x3f3b2368,0x3f2198a9,3 +np.float32,0xfefda26e,0xbfc90fdb,3 +np.float32,0x801519ad,0x801519ad,3 +np.float32,0x80473fa2,0x80473fa2,3 +np.float32,0x7e7a8bc1,0x3fc90fdb,3 +np.float32,0x3e8a9289,0x3e87548a,3 +np.float32,0x3ed68987,0x3ecb2872,3 +np.float32,0x805bca66,0x805bca66,3 +np.float32,0x8079c4e3,0x8079c4e3,3 +np.float32,0x3a2510,0x3a2510,3 +np.float32,0x7eedc598,0x3fc90fdb,3 +np.float32,0x80681956,0x80681956,3 +np.float32,0xff64c778,0xbfc90fdb,3 +np.float32,0x806bbc46,0x806bbc46,3 +np.float32,0x433643,0x433643,3 +np.float32,0x705b92,0x705b92,3 +np.float32,0xff359392,0xbfc90fdb,3 +np.float32,0xbee78672,0xbed96fa7,3 +np.float32,0x3e21717b,0x3e202010,3 +np.float32,0xfea13c34,0xbfc90fdb,3 +np.float32,0x2c8895,0x2c8895,3 +np.float32,0x3ed33290,0x3ec84f7c,3 +np.float32,0x3e63031e,0x3e5f662e,3 +np.float32,0x7e30907b,0x3fc90fdb,3 +np.float32,0xbe293708,0xbe27b310,3 +np.float32,0x3ed93738,0x3ecd6ea3,3 +np.float32,0x9db7e,0x9db7e,3 +np.float32,0x3f7cd1b8,0x3f47762c,3 +np.float32,0x3eb5143c,0x3eae0cb0,3 +np.float32,0xbe69b234,0xbe65c2d7,3 +np.float32,0x3f6e74de,0x3f3ffb97,3 +np.float32,0x5d0559,0x5d0559,3 +np.float32,0x3e1e8c30,0x3e1d4c70,3 +np.float32,0xbf2d1878,0xbf1833ef,3 +np.float32,0xff2adf82,0xbfc90fdb,3 +np.float32,0x8012e2c1,0x8012e2c1,3 +np.float32,0x7f031be3,0x3fc90fdb,3 +np.float32,0x805ff94e,0x805ff94e,3 +np.float32,0x3e9d5b27,0x3e98aa31,3 +np.float32,0x3f56d5cf,0x3f32bc9e,3 +np.float32,0x3eaa0412,0x3ea4267f,3 +np.float32,0xbe899ea4,0xbe86712f,3 +np.float32,0x800f2f48,0x800f2f48,3 +np.float32,0x3f1c2269,0x3f0c33ea,3 +np.float32,0x3f4a5f64,0x3f2b3f28,3 +np.float32,0x80739318,0x80739318,3 +np.float32,0x806e9b47,0x806e9b47,3 +np.float32,0x3c8cd300,0x3c8ccf73,3 +np.float32,0x7f39a39d,0x3fc90fdb,3 +np.float32,0x3ec95d61,0x3ebfd9dc,3 +np.float32,0xff351ff8,0xbfc90fdb,3 +np.float32,0xff3a8f58,0xbfc90fdb,3 +np.float32,0x7f313ec0,0x3fc90fdb,3 +np.float32,0x803aed13,0x803aed13,3 +np.float32,0x7f771d9b,0x3fc90fdb,3 +np.float32,0x8045a6d6,0x8045a6d6,3 +np.float32,0xbc85f280,0xbc85ef72,3 +np.float32,0x7e9c68f5,0x3fc90fdb,3 +np.float32,0xbf0f9379,0xbf02d975,3 +np.float32,0x7e97bcb1,0x3fc90fdb,3 +np.float32,0x804a07d5,0x804a07d5,3 +np.float32,0x802e6117,0x802e6117,3 +np.float32,0x7ed5e388,0x3fc90fdb,3 +np.float32,0x80750455,0x80750455,3 +np.float32,0xff4a8325,0xbfc90fdb,3 +np.float32,0xbedb6866,0xbecf497c,3 +np.float32,0x52ea3b,0x52ea3b,3 +np.float32,0xff773172,0xbfc90fdb,3 +np.float32,0xbeaa8ff0,0xbea4a46e,3 +np.float32,0x7eef2058,0x3fc90fdb,3 +np.float32,0x3f712472,0x3f4169d3,3 +np.float32,0xff6c8608,0xbfc90fdb,3 +np.float32,0xbf6eaa41,0xbf40182a,3 +np.float32,0x3eb03c24,0x3ea9bb34,3 +np.float32,0xfe118cd4,0xbfc90fdb,3 +np.float32,0x3e5b03b0,0x3e57c378,3 +np.float32,0x7f34d92d,0x3fc90fdb,3 +np.float32,0x806c3418,0x806c3418,3 +np.float32,0x7f3074e3,0x3fc90fdb,3 +np.float32,0x8002df02,0x8002df02,3 +np.float32,0x3f6df63a,0x3f3fb7b7,3 +np.float32,0xfd2b4100,0xbfc90fdb,3 +np.float32,0x80363d5c,0x80363d5c,3 +np.float32,0xbeac1f98,0xbea60bd6,3 +np.float32,0xff7fffff,0xbfc90fdb,3 +np.float32,0x80045097,0x80045097,3 +np.float32,0xfe011100,0xbfc90fdb,3 +np.float32,0x80739ef5,0x80739ef5,3 +np.float32,0xff3976ed,0xbfc90fdb,3 +np.float32,0xbe18e3a0,0xbe17c49e,3 +np.float32,0xbe289294,0xbe2712f6,3 +np.float32,0x3f1d41e7,0x3f0d050e,3 +np.float32,0x39364a,0x39364a,3 +np.float32,0x8072b77e,0x8072b77e,3 +np.float32,0x3f7cfec0,0x3f478cf6,3 +np.float32,0x2f68f6,0x2f68f6,3 +np.float32,0xbf031fb8,0xbef25c84,3 +np.float32,0xbf0b842c,0xbeff7afc,3 +np.float32,0x3f081e7e,0x3efa3676,3 +np.float32,0x7f7fffff,0x3fc90fdb,3 +np.float32,0xff15da0e,0xbfc90fdb,3 +np.float32,0x3d2001b2,0x3d1fece1,3 +np.float32,0x7f76efef,0x3fc90fdb,3 +np.float32,0x3f2405dd,0x3f11dfb7,3 +np.float32,0xa0319,0xa0319,3 +np.float32,0x3e23d2bd,0x3e227255,3 +np.float32,0xbd4d4c50,0xbd4d205e,3 +np.float32,0x382344,0x382344,3 +np.float32,0x21bbf,0x21bbf,3 +np.float32,0xbf209e82,0xbf0f7239,3 +np.float32,0xff03bf9f,0xbfc90fdb,3 +np.float32,0x7b1789,0x7b1789,3 +np.float32,0xff314944,0xbfc90fdb,3 +np.float32,0x1a63eb,0x1a63eb,3 +np.float32,0x803dc983,0x803dc983,3 +np.float32,0x3f0ff558,0x3f0323dc,3 +np.float32,0x3f544f2c,0x3f313f58,3 +np.float32,0xff032948,0xbfc90fdb,3 +np.float32,0x7f4933cc,0x3fc90fdb,3 +np.float32,0x7f14c5ed,0x3fc90fdb,3 +np.float32,0x803aeebf,0x803aeebf,3 +np.float32,0xbf0d4c0f,0xbf011bf5,3 +np.float32,0xbeaf8de2,0xbea91f57,3 +np.float32,0xff3ae030,0xbfc90fdb,3 +np.float32,0xbb362d00,0xbb362ce1,3 +np.float32,0x3d1f79e0,0x3d1f6544,3 +np.float32,0x3f56e9d9,0x3f32c860,3 +np.float32,0x3f723e5e,0x3f41fee2,3 +np.float32,0x4c0179,0x4c0179,3 +np.float32,0xfee36132,0xbfc90fdb,3 +np.float32,0x619ae6,0x619ae6,3 +np.float32,0xfde5d670,0xbfc90fdb,3 +np.float32,0xff079ac5,0xbfc90fdb,3 +np.float32,0x3e974fbd,0x3e931fae,3 +np.float32,0x8020ae6b,0x8020ae6b,3 +np.float32,0x6b5af1,0x6b5af1,3 +np.float32,0xbeb57cd6,0xbeae69a3,3 +np.float32,0x806e7eb2,0x806e7eb2,3 +np.float32,0x7e666edb,0x3fc90fdb,3 +np.float32,0xbf458c18,0xbf283ff0,3 +np.float32,0x3e50518e,0x3e4d8399,3 +np.float32,0x3e9ce224,0x3e983b98,3 +np.float32,0x3e6bc067,0x3e67b6c6,3 +np.float32,0x13783d,0x13783d,3 +np.float32,0xff3d518c,0xbfc90fdb,3 +np.float32,0xfeba5968,0xbfc90fdb,3 +np.float32,0xbf0b9f76,0xbeffa50f,3 +np.float32,0xfe174900,0xbfc90fdb,3 +np.float32,0x3f38bb0a,0x3f200527,3 +np.float32,0x7e94a77d,0x3fc90fdb,3 +np.float32,0x29d776,0x29d776,3 +np.float32,0xbf4e058d,0xbf2d7a15,3 +np.float32,0xbd94abc8,0xbd946923,3 +np.float32,0xbee62db0,0xbed85124,3 +np.float32,0x800000,0x800000,3 +np.float32,0xbef1df7e,0xbee1f636,3 +np.float32,0xbcf3cd20,0xbcf3bab5,3 +np.float32,0x80007b05,0x80007b05,3 +np.float32,0x3d9b3f2e,0x3d9af351,3 +np.float32,0xbf714a68,0xbf417dee,3 +np.float32,0xbf2a2d37,0xbf163069,3 +np.float32,0x8055104f,0x8055104f,3 +np.float32,0x7f5c40d7,0x3fc90fdb,3 +np.float32,0x1,0x1,3 +np.float32,0xff35f3a6,0xbfc90fdb,3 +np.float32,0xd9c7c,0xd9c7c,3 +np.float32,0xbf440cfc,0xbf274f22,3 +np.float32,0x8050ac43,0x8050ac43,3 +np.float32,0x63ee16,0x63ee16,3 +np.float32,0x7d90419b,0x3fc90fdb,3 +np.float32,0xfee22198,0xbfc90fdb,3 +np.float32,0xc2ead,0xc2ead,3 +np.float32,0x7f5cd6a6,0x3fc90fdb,3 +np.float32,0x3f6fab7e,0x3f40a184,3 +np.float32,0x3ecf998c,0x3ec53a73,3 +np.float32,0x7e5271f0,0x3fc90fdb,3 +np.float32,0x67c016,0x67c016,3 +np.float32,0x2189c8,0x2189c8,3 +np.float32,0x27d892,0x27d892,3 +np.float32,0x3f0d02c4,0x3f00e3c0,3 +np.float32,0xbf69ebca,0xbf3d8862,3 +np.float32,0x3e60c0d6,0x3e5d3ebb,3 +np.float32,0x3f45206c,0x3f27fc66,3 +np.float32,0xbf6b47dc,0xbf3e4592,3 +np.float32,0xfe9be2e2,0xbfc90fdb,3 +np.float32,0x7fa00000,0x7fe00000,3 +np.float32,0xff271562,0xbfc90fdb,3 +np.float32,0x3e2e5270,0x3e2caaaf,3 +np.float32,0x80222934,0x80222934,3 +np.float32,0xbd01d220,0xbd01c701,3 +np.float32,0x223aa0,0x223aa0,3 +np.float32,0x3f4b5a7e,0x3f2bd967,3 +np.float32,0x3f217d85,0x3f101200,3 +np.float32,0xbf57663a,0xbf331144,3 +np.float32,0x3f219862,0x3f102536,3 +np.float32,0x28a28c,0x28a28c,3 +np.float32,0xbf3f55f4,0xbf244f86,3 +np.float32,0xbf3de287,0xbf236092,3 +np.float32,0xbf1c1ce2,0xbf0c2fe3,3 +np.float32,0x80000001,0x80000001,3 +np.float32,0x3db695d0,0x3db61a90,3 +np.float32,0x6c39bf,0x6c39bf,3 +np.float32,0x7e33a12f,0x3fc90fdb,3 +np.float32,0x67623a,0x67623a,3 +np.float32,0x3e45dc54,0x3e4373b6,3 +np.float32,0x7f62fa68,0x3fc90fdb,3 +np.float32,0x3f0e1d01,0x3f01bbe5,3 +np.float32,0x3f13dc69,0x3f0615f5,3 +np.float32,0x246703,0x246703,3 +np.float32,0xbf1055b5,0xbf036d07,3 +np.float32,0x7f46d3d0,0x3fc90fdb,3 +np.float32,0x3d2b8086,0x3d2b66e5,3 +np.float32,0xbf03be44,0xbef35776,3 +np.float32,0x3f800000,0x3f490fdb,3 +np.float32,0xbec8d226,0xbebf613d,3 +np.float32,0x3d8faf00,0x3d8f72d4,3 +np.float32,0x170c4e,0x170c4e,3 +np.float32,0xff14c0f0,0xbfc90fdb,3 +np.float32,0xff16245d,0xbfc90fdb,3 +np.float32,0x7f44ce6d,0x3fc90fdb,3 +np.float32,0xbe8175d8,0xbe7d9aeb,3 +np.float32,0x3df7a4a1,0x3df67254,3 +np.float32,0xfe2cc46c,0xbfc90fdb,3 +np.float32,0x3f284e63,0x3f14e335,3 +np.float32,0x7e46e5d6,0x3fc90fdb,3 +np.float32,0x397be4,0x397be4,3 +np.float32,0xbf2560bc,0xbf12d50b,3 +np.float32,0x3ed9b8c1,0x3ecddc60,3 +np.float32,0xfec18c5a,0xbfc90fdb,3 +np.float32,0x64894d,0x64894d,3 +np.float32,0x36a65d,0x36a65d,3 +np.float32,0x804ffcd7,0x804ffcd7,3 +np.float32,0x800f79e4,0x800f79e4,3 +np.float32,0x5d45ac,0x5d45ac,3 +np.float32,0x6cdda0,0x6cdda0,3 +np.float32,0xbf7f2077,0xbf489fe5,3 +np.float32,0xbf152f78,0xbf0713a1,3 +np.float32,0x807bf344,0x807bf344,3 +np.float32,0x3f775023,0x3f44a4d8,3 +np.float32,0xbf3edf67,0xbf240365,3 +np.float32,0x7eed729c,0x3fc90fdb,3 +np.float32,0x14cc29,0x14cc29,3 +np.float32,0x7edd7b6b,0x3fc90fdb,3 +np.float32,0xbf3c6e2c,0xbf226fb7,3 +np.float32,0x51b9ad,0x51b9ad,3 +np.float32,0x3f617ee8,0x3f38dd7c,3 +np.float32,0xff800000,0xbfc90fdb,3 +np.float32,0x7f440ea0,0x3fc90fdb,3 +np.float32,0x3e639893,0x3e5ff49e,3 +np.float32,0xbd791bb0,0xbd78cd3c,3 +np.float32,0x8059fcbc,0x8059fcbc,3 +np.float32,0xbf7d1214,0xbf4796bd,3 +np.float32,0x3ef368fa,0x3ee33788,3 +np.float32,0xbecec0f4,0xbec48055,3 +np.float32,0xbc83d940,0xbc83d656,3 +np.float32,0xbce01220,0xbce003d4,3 +np.float32,0x803192a5,0x803192a5,3 +np.float32,0xbe40e0c0,0xbe3ea4f0,3 +np.float32,0xfb692600,0xbfc90fdb,3 +np.float32,0x3f1bec65,0x3f0c0c88,3 +np.float32,0x7f042798,0x3fc90fdb,3 +np.float32,0xbe047374,0xbe03b83b,3 +np.float32,0x7f7c6630,0x3fc90fdb,3 +np.float32,0x7f58dae3,0x3fc90fdb,3 +np.float32,0x80691c92,0x80691c92,3 +np.float32,0x7dbe76,0x7dbe76,3 +np.float32,0xbf231384,0xbf11339d,3 +np.float32,0xbef4acf8,0xbee43f8b,3 +np.float32,0x3ee9f9d0,0x3edb7793,3 +np.float32,0x3f0064f6,0x3eee04a8,3 +np.float32,0x313732,0x313732,3 +np.float32,0xfd58cf80,0xbfc90fdb,3 +np.float32,0x3f7a2bc9,0x3f461d30,3 +np.float32,0x7f7681af,0x3fc90fdb,3 +np.float32,0x7f504211,0x3fc90fdb,3 +np.float32,0xfeae0c00,0xbfc90fdb,3 +np.float32,0xbee14396,0xbed436d1,3 +np.float32,0x7fc00000,0x7fc00000,3 +np.float32,0x693406,0x693406,3 +np.float32,0x3eb4a679,0x3eadab1b,3 +np.float32,0x550505,0x550505,3 +np.float32,0xfd493d10,0xbfc90fdb,3 +np.float32,0x3f4fc907,0x3f2e8b2c,3 +np.float32,0x80799aa4,0x80799aa4,3 +np.float32,0xff1ea89b,0xbfc90fdb,3 +np.float32,0xff424510,0xbfc90fdb,3 +np.float32,0x7f68d026,0x3fc90fdb,3 +np.float32,0xbea230ca,0xbe9d1200,3 +np.float32,0x7ea585da,0x3fc90fdb,3 +np.float32,0x3f3db211,0x3f23414c,3 +np.float32,0xfea4d964,0xbfc90fdb,3 +np.float32,0xbf17fe18,0xbf092984,3 +np.float32,0x7cc8a2,0x7cc8a2,3 +np.float32,0xff0330ba,0xbfc90fdb,3 +np.float32,0x3f769835,0x3f444592,3 +np.float32,0xeb0ac,0xeb0ac,3 +np.float32,0x7f7e45de,0x3fc90fdb,3 +np.float32,0xbdb510a8,0xbdb49873,3 +np.float32,0x3ebf900b,0x3eb74e9c,3 +np.float32,0xbf21bbce,0xbf103e89,3 +np.float32,0xbf3f4682,0xbf24459d,3 +np.float32,0x7eb6e9c8,0x3fc90fdb,3 +np.float32,0xbf42532d,0xbf2637be,3 +np.float32,0xbd3b2600,0xbd3b04b4,3 +np.float32,0x3f1fa9aa,0x3f0ec23e,3 +np.float32,0x7ed6a0f1,0x3fc90fdb,3 +np.float32,0xff4759a1,0xbfc90fdb,3 +np.float32,0x6d26e3,0x6d26e3,3 +np.float32,0xfe1108e0,0xbfc90fdb,3 +np.float32,0xfdf76900,0xbfc90fdb,3 +np.float32,0xfec66f22,0xbfc90fdb,3 +np.float32,0xbf3d097f,0xbf22d458,3 +np.float32,0x3d85be25,0x3d858d99,3 +np.float32,0x7f36739f,0x3fc90fdb,3 +np.float32,0x7bc0a304,0x3fc90fdb,3 +np.float32,0xff48dd90,0xbfc90fdb,3 +np.float32,0x48cab0,0x48cab0,3 +np.float32,0x3ed3943c,0x3ec8a2ef,3 +np.float32,0xbf61488e,0xbf38bede,3 +np.float32,0x3f543df5,0x3f313525,3 +np.float32,0x5cf2ca,0x5cf2ca,3 +np.float32,0x572686,0x572686,3 +np.float32,0x80369c7c,0x80369c7c,3 +np.float32,0xbd2c1d20,0xbd2c0338,3 +np.float32,0x3e255428,0x3e23ea0b,3 +np.float32,0xbeba9ee0,0xbeb2f54c,3 +np.float32,0x8015c165,0x8015c165,3 +np.float32,0x3d31f488,0x3d31d7e6,3 +np.float32,0x3f68591c,0x3f3cac43,3 +np.float32,0xf5ed5,0xf5ed5,3 +np.float32,0xbf3b1d34,0xbf21949e,3 +np.float32,0x1f0343,0x1f0343,3 +np.float32,0x3f0e52b5,0x3f01e4ef,3 +np.float32,0x7f57c596,0x3fc90fdb,3 +np.float64,0x7fd8e333ddb1c667,0x3ff921fb54442d18,1 +np.float64,0x800bcc9cdad7993a,0x800bcc9cdad7993a,1 +np.float64,0x3fcd6f81df3adf00,0x3fcceebbafc5d55e,1 +np.float64,0x3fed7338a57ae671,0x3fe7ce3e5811fc0a,1 +np.float64,0x7fe64994fcac9329,0x3ff921fb54442d18,1 +np.float64,0xfa5a6345f4b4d,0xfa5a6345f4b4d,1 +np.float64,0xe9dcd865d3b9b,0xe9dcd865d3b9b,1 +np.float64,0x7fea6cffabf4d9fe,0x3ff921fb54442d18,1 +np.float64,0xa9e1de6153c3c,0xa9e1de6153c3c,1 +np.float64,0xab6bdc5356d7c,0xab6bdc5356d7c,1 +np.float64,0x80062864a02c50ca,0x80062864a02c50ca,1 +np.float64,0xbfdac03aa7b58076,0xbfd9569f3230128d,1 +np.float64,0xbfe61b77752c36ef,0xbfe3588f51b8be8f,1 +np.float64,0x800bc854c8d790aa,0x800bc854c8d790aa,1 +np.float64,0x3feed1a2da3da346,0x3fe887f9b8ea031f,1 +np.float64,0x3fe910d3697221a7,0x3fe54365a53d840e,1 +np.float64,0x7fe7ab4944ef5692,0x3ff921fb54442d18,1 +np.float64,0x3fa462f1a028c5e3,0x3fa460303a6a4e69,1 +np.float64,0x800794f1a3af29e4,0x800794f1a3af29e4,1 +np.float64,0x3fee6fe7fafcdfd0,0x3fe854f863816d55,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0x7f336472fe66d,0x7f336472fe66d,1 +np.float64,0xffb1623ac822c478,0xbff921fb54442d18,1 +np.float64,0x3fbacd68ce359ad2,0x3fbab480b3638846,1 +np.float64,0xffd5c02706ab804e,0xbff921fb54442d18,1 +np.float64,0xbfd4daf03d29b5e0,0xbfd42928f069c062,1 +np.float64,0x800c6e85dbd8dd0c,0x800c6e85dbd8dd0c,1 +np.float64,0x800e3599c5bc6b34,0x800e3599c5bc6b34,1 +np.float64,0x2c0d654c581ad,0x2c0d654c581ad,1 +np.float64,0xbfdd3eb13fba7d62,0xbfdb6e8143302de7,1 +np.float64,0x800b60cb8776c197,0x800b60cb8776c197,1 +np.float64,0x80089819ad113034,0x80089819ad113034,1 +np.float64,0x29fe721453fcf,0x29fe721453fcf,1 +np.float64,0x3fe8722f4df0e45f,0x3fe4e026d9eadb4d,1 +np.float64,0xffd1fbcd01a3f79a,0xbff921fb54442d18,1 +np.float64,0x7fc74e1e982e9c3c,0x3ff921fb54442d18,1 +np.float64,0x800c09d3d15813a8,0x800c09d3d15813a8,1 +np.float64,0xbfeee4578b3dc8af,0xbfe891ab3d6c3ce4,1 +np.float64,0xffdd01a6f33a034e,0xbff921fb54442d18,1 +np.float64,0x7fcc130480382608,0x3ff921fb54442d18,1 +np.float64,0xffcbb6bd1d376d7c,0xbff921fb54442d18,1 +np.float64,0xc068a53780d15,0xc068a53780d15,1 +np.float64,0xbfc974f15532e9e4,0xbfc92100b355f3e7,1 +np.float64,0x3fe6da79442db4f3,0x3fe3d87393b082e7,1 +np.float64,0xd9d9be4db3b38,0xd9d9be4db3b38,1 +np.float64,0x5ea50a20bd4a2,0x5ea50a20bd4a2,1 +np.float64,0xbfe5597f7d2ab2ff,0xbfe2d3ccc544b52b,1 +np.float64,0x80019364e4e326cb,0x80019364e4e326cb,1 +np.float64,0x3fed2902c3fa5206,0x3fe7a5e1df07e5c1,1 +np.float64,0xbfa7b72b5c2f6e50,0xbfa7b2d545b3cc1f,1 +np.float64,0xffdb60dd43b6c1ba,0xbff921fb54442d18,1 +np.float64,0x81a65d8b034cc,0x81a65d8b034cc,1 +np.float64,0x8000c30385818608,0x8000c30385818608,1 +np.float64,0x6022f5f4c045f,0x6022f5f4c045f,1 +np.float64,0x8007a2bb810f4578,0x8007a2bb810f4578,1 +np.float64,0x7fdc68893238d111,0x3ff921fb54442d18,1 +np.float64,0x7fd443454ea8868a,0x3ff921fb54442d18,1 +np.float64,0xffe6b04209ed6084,0xbff921fb54442d18,1 +np.float64,0x7fcd9733d13b2e67,0x3ff921fb54442d18,1 +np.float64,0xf5ee80a9ebdd0,0xf5ee80a9ebdd0,1 +np.float64,0x3fe3788e8de6f11e,0x3fe17dec7e6843a0,1 +np.float64,0x3fee36f62f7c6dec,0x3fe836f832515b43,1 +np.float64,0xf6cb49aded969,0xf6cb49aded969,1 +np.float64,0x3fd2b15ea4a562bc,0x3fd22fdc09920e67,1 +np.float64,0x7fccf6aef139ed5d,0x3ff921fb54442d18,1 +np.float64,0x3fd396b8ce272d72,0x3fd3026118857bd4,1 +np.float64,0x7fe53d3c80ea7a78,0x3ff921fb54442d18,1 +np.float64,0x3feae88fc4f5d120,0x3fe65fb04b18ef7a,1 +np.float64,0x3fedc643747b8c86,0x3fe7fafa6c20e25a,1 +np.float64,0xffdb2dc0df365b82,0xbff921fb54442d18,1 +np.float64,0xbfa2af3658255e70,0xbfa2ad17348f4253,1 +np.float64,0x3f8aa77b30354ef6,0x3f8aa71892336a69,1 +np.float64,0xbfdd1b1efbba363e,0xbfdb510dcd186820,1 +np.float64,0x800f50d99c5ea1b3,0x800f50d99c5ea1b3,1 +np.float64,0xff6ed602403dac00,0xbff921fb54442d18,1 +np.float64,0x800477d71aa8efaf,0x800477d71aa8efaf,1 +np.float64,0xbfe729a9e86e5354,0xbfe40ca78d9eefcf,1 +np.float64,0x3fd81ab2d4303566,0x3fd70d7e3937ea22,1 +np.float64,0xb617cbab6c2fa,0xb617cbab6c2fa,1 +np.float64,0x7fefffffffffffff,0x3ff921fb54442d18,1 +np.float64,0xffa40933ac281260,0xbff921fb54442d18,1 +np.float64,0xbfe1ede621e3dbcc,0xbfe057bb2b341ced,1 +np.float64,0xbfec700f03b8e01e,0xbfe73fb190bc722e,1 +np.float64,0x6e28af02dc517,0x6e28af02dc517,1 +np.float64,0x3fe37ad37ae6f5a7,0x3fe17f94674818a9,1 +np.float64,0x8000cbdeeae197bf,0x8000cbdeeae197bf,1 +np.float64,0x3fe8fd1f01f1fa3e,0x3fe5372bbec5d72c,1 +np.float64,0x3f8f9229103f2452,0x3f8f918531894256,1 +np.float64,0x800536858e0a6d0c,0x800536858e0a6d0c,1 +np.float64,0x7fe82bb4f9f05769,0x3ff921fb54442d18,1 +np.float64,0xffc1c2fb592385f8,0xbff921fb54442d18,1 +np.float64,0x7f924ddfc0249bbf,0x3ff921fb54442d18,1 +np.float64,0xffd5e125c52bc24c,0xbff921fb54442d18,1 +np.float64,0xbfef0d8738be1b0e,0xbfe8a6ef17b16c10,1 +np.float64,0x3fc9c8875233910f,0x3fc9715e708503cb,1 +np.float64,0xbfe2d926f4e5b24e,0xbfe108956e61cbb3,1 +np.float64,0x7fd61c496dac3892,0x3ff921fb54442d18,1 +np.float64,0x7fed545c6b7aa8b8,0x3ff921fb54442d18,1 +np.float64,0x8003746fea86e8e1,0x8003746fea86e8e1,1 +np.float64,0x3fdf515e75bea2bd,0x3fdd201a5585caa3,1 +np.float64,0xffda87c8ee350f92,0xbff921fb54442d18,1 +np.float64,0xffc675d8e22cebb0,0xbff921fb54442d18,1 +np.float64,0xffcdc173433b82e8,0xbff921fb54442d18,1 +np.float64,0xffed9df1517b3be2,0xbff921fb54442d18,1 +np.float64,0x3fd6a2eec72d45de,0x3fd5c1f1d7dcddcf,1 +np.float64,0xffec116a66f822d4,0xbff921fb54442d18,1 +np.float64,0x8007c2a2458f8545,0x8007c2a2458f8545,1 +np.float64,0x3fe4ee80d969dd02,0x3fe2895076094668,1 +np.float64,0x3fe3cae7116795ce,0x3fe1b9c07e0d03a7,1 +np.float64,0xbfd81bf8d8b037f2,0xbfd70e9bbbb4ca57,1 +np.float64,0x800c88ccd1f9119a,0x800c88ccd1f9119a,1 +np.float64,0xffdab2aee2b5655e,0xbff921fb54442d18,1 +np.float64,0x3fe743d227ee87a4,0x3fe41dcaef186d96,1 +np.float64,0x3fb060fd0220c1fa,0x3fb05b47f56ebbb4,1 +np.float64,0xbfd3f03772a7e06e,0xbfd3541522377291,1 +np.float64,0x190a5ae03216,0x190a5ae03216,1 +np.float64,0x3fe48c71916918e4,0x3fe24442f45b3183,1 +np.float64,0x800862470590c48e,0x800862470590c48e,1 +np.float64,0x7fd3ced89d279db0,0x3ff921fb54442d18,1 +np.float64,0x3feb3d9b4ab67b37,0x3fe69140cf2623f7,1 +np.float64,0xbc3f296b787e5,0xbc3f296b787e5,1 +np.float64,0xbfed6b905dfad721,0xbfe7ca1881a8c0fd,1 +np.float64,0xbfe621c2aaac4386,0xbfe35cd1969a82db,1 +np.float64,0x8009e7b17593cf63,0x8009e7b17593cf63,1 +np.float64,0x80045f580ca8beb1,0x80045f580ca8beb1,1 +np.float64,0xbfea2e177e745c2f,0xbfe5f13971633339,1 +np.float64,0x3fee655787fccab0,0x3fe84f6b98b6de26,1 +np.float64,0x3fc9cde92f339bd0,0x3fc9768a88b2c97c,1 +np.float64,0x3fc819c3b3303388,0x3fc7d25e1526e731,1 +np.float64,0x3fd3e848d2a7d090,0x3fd34cd9e6af558f,1 +np.float64,0x3fe19dacac633b5a,0x3fe01a6b4d27adc2,1 +np.float64,0x800b190da316321c,0x800b190da316321c,1 +np.float64,0xd5c69711ab8d3,0xd5c69711ab8d3,1 +np.float64,0xbfdc31bed7b8637e,0xbfda8ea3c1309d6d,1 +np.float64,0xbfd02ba007a05740,0xbfcfad86f0d756dc,1 +np.float64,0x3fe874473d70e88e,0x3fe4e1793cd82123,1 +np.float64,0xffb465585c28cab0,0xbff921fb54442d18,1 +np.float64,0xbfb5d8e13e2bb1c0,0xbfb5cb5c7807fc4d,1 +np.float64,0xffe80f933bf01f26,0xbff921fb54442d18,1 +np.float64,0x7feea783f5fd4f07,0x3ff921fb54442d18,1 +np.float64,0xbfae6665f43cccd0,0xbfae5d45b0a6f90a,1 +np.float64,0x800bd6ef5a77addf,0x800bd6ef5a77addf,1 +np.float64,0x800d145babda28b8,0x800d145babda28b8,1 +np.float64,0x39de155473bc3,0x39de155473bc3,1 +np.float64,0x3fefbd6bb1ff7ad8,0x3fe9008e73a3296e,1 +np.float64,0x3fc40bca3d281798,0x3fc3e2710e167007,1 +np.float64,0x3fcae0918335c120,0x3fca7e09e704a678,1 +np.float64,0x51287fbea2511,0x51287fbea2511,1 +np.float64,0x7fa6bc33a82d7866,0x3ff921fb54442d18,1 +np.float64,0xe72a2bebce546,0xe72a2bebce546,1 +np.float64,0x3fe1c8fd686391fa,0x3fe03b9622aeb4e3,1 +np.float64,0x3fe2a73ac3654e76,0x3fe0e36bc1ee4ac4,1 +np.float64,0x59895218b312b,0x59895218b312b,1 +np.float64,0xc6dc25c78db85,0xc6dc25c78db85,1 +np.float64,0xbfc06cfac520d9f4,0xbfc0561f85d2c907,1 +np.float64,0xbfea912dc4f5225c,0xbfe62c3b1c01c793,1 +np.float64,0x3fb78ce89a2f19d0,0x3fb77bfcb65a67d3,1 +np.float64,0xbfece5cdea39cb9c,0xbfe78103d24099e5,1 +np.float64,0x30d3054e61a61,0x30d3054e61a61,1 +np.float64,0xbfd3fe26fba7fc4e,0xbfd360c8447c4f7a,1 +np.float64,0x800956072a92ac0f,0x800956072a92ac0f,1 +np.float64,0x7fe639b3b6ec7366,0x3ff921fb54442d18,1 +np.float64,0x800ee30240bdc605,0x800ee30240bdc605,1 +np.float64,0x7fef6af0d2bed5e1,0x3ff921fb54442d18,1 +np.float64,0xffefce8725ff9d0d,0xbff921fb54442d18,1 +np.float64,0x3fe2e311da65c624,0x3fe10ff1623089dc,1 +np.float64,0xbfe7e5cbe56fcb98,0xbfe486c3daeda67c,1 +np.float64,0x80095bc14472b783,0x80095bc14472b783,1 +np.float64,0xffef0cb4553e1968,0xbff921fb54442d18,1 +np.float64,0xe3e60567c7cc1,0xe3e60567c7cc1,1 +np.float64,0xffde919f06bd233e,0xbff921fb54442d18,1 +np.float64,0x3fe3f9632e27f2c6,0x3fe1db49ebd21c4e,1 +np.float64,0x9dee9a233bdd4,0x9dee9a233bdd4,1 +np.float64,0xbfe3bb0602e7760c,0xbfe1ae41b6d4c488,1 +np.float64,0x3fc46945a128d288,0x3fc43da54c6c6a2a,1 +np.float64,0x7fdef149ac3de292,0x3ff921fb54442d18,1 +np.float64,0x800a96c76d752d8f,0x800a96c76d752d8f,1 +np.float64,0x3f971a32382e3464,0x3f9719316b9e9baf,1 +np.float64,0x7fe97bcf15b2f79d,0x3ff921fb54442d18,1 +np.float64,0x7fea894558f5128a,0x3ff921fb54442d18,1 +np.float64,0x3fc9e3be1933c780,0x3fc98b847c3923eb,1 +np.float64,0x3f7accac40359959,0x3f7acc9330741b64,1 +np.float64,0xa80c136950183,0xa80c136950183,1 +np.float64,0x3fe408732b2810e6,0x3fe1e61e7cbc8824,1 +np.float64,0xffa775bc042eeb80,0xbff921fb54442d18,1 +np.float64,0x3fbf04bd223e0980,0x3fbede37b8fc697e,1 +np.float64,0x7fd999b34c333366,0x3ff921fb54442d18,1 +np.float64,0xe72146dfce429,0xe72146dfce429,1 +np.float64,0x4f511ee49ea24,0x4f511ee49ea24,1 +np.float64,0xffb3e6e58827cdc8,0xbff921fb54442d18,1 +np.float64,0x3fd1f180cfa3e300,0x3fd17e85b2871de2,1 +np.float64,0x97c8e45b2f91d,0x97c8e45b2f91d,1 +np.float64,0xbfeeb20e88fd641d,0xbfe8778f878440bf,1 +np.float64,0xbfe1fc6dee23f8dc,0xbfe062c815a93cde,1 +np.float64,0xab4bf71f5697f,0xab4bf71f5697f,1 +np.float64,0xa9675a2952cec,0xa9675a2952cec,1 +np.float64,0xbfef3ea4a33e7d49,0xbfe8c02743ebc1b6,1 +np.float64,0x3fe22a2eafa4545d,0x3fe08577afca52a9,1 +np.float64,0x3fe8a08daaf1411c,0x3fe4fd5a34f05305,1 +np.float64,0xbfc6cda77b2d9b50,0xbfc6910bcfa0cf4f,1 +np.float64,0x3fec398394387307,0x3fe7211dd5276500,1 +np.float64,0x3fe36c95c626d92c,0x3fe1752e5aa2357b,1 +np.float64,0xffd8b9e7073173ce,0xbff921fb54442d18,1 +np.float64,0xffe19f043ae33e08,0xbff921fb54442d18,1 +np.float64,0x800e3640709c6c81,0x800e3640709c6c81,1 +np.float64,0x3fe7d6c20aafad84,0x3fe47d1a3307d9c8,1 +np.float64,0x80093fd63b727fad,0x80093fd63b727fad,1 +np.float64,0xffe1a671a4634ce3,0xbff921fb54442d18,1 +np.float64,0xbfe53a6b386a74d6,0xbfe2be41859cb10d,1 +np.float64,0xbfed149a097a2934,0xbfe79ab7e3e93c1c,1 +np.float64,0x7fc2769a5724ed34,0x3ff921fb54442d18,1 +np.float64,0xffd01e4e99a03c9e,0xbff921fb54442d18,1 +np.float64,0xa61f38434c3e7,0xa61f38434c3e7,1 +np.float64,0x800ad4ac5195a959,0x800ad4ac5195a959,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x80034a45b6c6948c,0x80034a45b6c6948c,1 +np.float64,0x6350b218c6a17,0x6350b218c6a17,1 +np.float64,0xfff0000000000000,0xbff921fb54442d18,1 +np.float64,0x3fe363e759e6c7cf,0x3fe16ed58d80f9ce,1 +np.float64,0xffe3b98e59e7731c,0xbff921fb54442d18,1 +np.float64,0x3fdbf7b40337ef68,0x3fda5df7ad3c80f9,1 +np.float64,0xbfe9cdf784739bef,0xbfe5b74f346ef93d,1 +np.float64,0xbfc321bea326437c,0xbfc2fdc0d4ff7561,1 +np.float64,0xbfe40f77d2a81ef0,0xbfe1eb28c4ae4dde,1 +np.float64,0x7fe071806960e300,0x3ff921fb54442d18,1 +np.float64,0x7fd269006ea4d200,0x3ff921fb54442d18,1 +np.float64,0x80017a56e0e2f4af,0x80017a56e0e2f4af,1 +np.float64,0x8004b4ea09a969d5,0x8004b4ea09a969d5,1 +np.float64,0xbfedbb01e63b7604,0xbfe7f4f0e84297df,1 +np.float64,0x3fe44454826888a9,0x3fe210ff6d005706,1 +np.float64,0xbfe0e77e6ea1cefd,0xbfdf1a977da33402,1 +np.float64,0xbfed6d4c8c3ada99,0xbfe7cb0932093f60,1 +np.float64,0x1d74cb9e3ae9a,0x1d74cb9e3ae9a,1 +np.float64,0x80082a785d1054f1,0x80082a785d1054f1,1 +np.float64,0x3fe58393266b0726,0x3fe2f0d8e91d4887,1 +np.float64,0xffe4028899680510,0xbff921fb54442d18,1 +np.float64,0x783a2e5af0746,0x783a2e5af0746,1 +np.float64,0x7fcdce88e73b9d11,0x3ff921fb54442d18,1 +np.float64,0x3fc58672a72b0ce5,0x3fc5535e090e56e2,1 +np.float64,0x800889c839b11391,0x800889c839b11391,1 +np.float64,0xffe5e05c466bc0b8,0xbff921fb54442d18,1 +np.float64,0xbfcbef6ebe37dedc,0xbfcb810752468f49,1 +np.float64,0xffe9408563b2810a,0xbff921fb54442d18,1 +np.float64,0xbfee4738367c8e70,0xbfe83f8e5dd7602f,1 +np.float64,0xbfe4aeb587295d6b,0xbfe25c7a0c76a454,1 +np.float64,0xffc9aea0a7335d40,0xbff921fb54442d18,1 +np.float64,0xe1e02199c3c04,0xe1e02199c3c04,1 +np.float64,0xbfbd9400783b2800,0xbfbd729345d1d14f,1 +np.float64,0x7a5418bcf4a84,0x7a5418bcf4a84,1 +np.float64,0x3fdc1c2fa5b83860,0x3fda7c935965ae72,1 +np.float64,0x80076a9f58ced53f,0x80076a9f58ced53f,1 +np.float64,0x3fedc4bf957b897f,0x3fe7fa2a83148f1c,1 +np.float64,0x800981b8a9d30372,0x800981b8a9d30372,1 +np.float64,0xffe1082311621046,0xbff921fb54442d18,1 +np.float64,0xe0091f89c0124,0xe0091f89c0124,1 +np.float64,0xbfce8d674f3d1ad0,0xbfcdfdbf2ddaa0ca,1 +np.float64,0x800516e72eaa2dcf,0x800516e72eaa2dcf,1 +np.float64,0xffe61ee64c6c3dcc,0xbff921fb54442d18,1 +np.float64,0x7fed2683cafa4d07,0x3ff921fb54442d18,1 +np.float64,0xffd4faf27729f5e4,0xbff921fb54442d18,1 +np.float64,0x7fe308fa842611f4,0x3ff921fb54442d18,1 +np.float64,0x3fc612a62b2c2550,0x3fc5db9ddbd4e159,1 +np.float64,0xbfe5b01e766b603d,0xbfe30f72a875e988,1 +np.float64,0x3fc2dd8b9a25bb17,0x3fc2bb06246b9f78,1 +np.float64,0x8170908102e12,0x8170908102e12,1 +np.float64,0x800c1c8a8a583915,0x800c1c8a8a583915,1 +np.float64,0xffe5d91e8b6bb23c,0xbff921fb54442d18,1 +np.float64,0xffd140adee22815c,0xbff921fb54442d18,1 +np.float64,0xbfe2f1f5f8e5e3ec,0xbfe11afa5d749952,1 +np.float64,0xbfed6d1d587ada3b,0xbfe7caef9ecf7651,1 +np.float64,0x3fe9b85e67f370bd,0x3fe5aa3474768982,1 +np.float64,0x7fdc8932edb91265,0x3ff921fb54442d18,1 +np.float64,0x7fd136bc54a26d78,0x3ff921fb54442d18,1 +np.float64,0x800a1ea12a343d43,0x800a1ea12a343d43,1 +np.float64,0x3fec6a5c1b78d4b8,0x3fe73c82235c3f8f,1 +np.float64,0x800fbf6a00df7ed4,0x800fbf6a00df7ed4,1 +np.float64,0xbfd0e6e0cda1cdc2,0xbfd0864bf8cad294,1 +np.float64,0x3fc716df482e2dbf,0x3fc6d7fbfd4a8470,1 +np.float64,0xbfe75990936eb321,0xbfe42bffec3fa0d7,1 +np.float64,0x3fd58e54a02b1ca9,0x3fd4cace1107a5cc,1 +np.float64,0xbfc9c04136338084,0xbfc9696ad2591d54,1 +np.float64,0xdd1f0147ba3e0,0xdd1f0147ba3e0,1 +np.float64,0x5c86a940b90e,0x5c86a940b90e,1 +np.float64,0xbfecae3b8e795c77,0xbfe7624d4988c612,1 +np.float64,0xffd0370595206e0c,0xbff921fb54442d18,1 +np.float64,0xbfdc26d443384da8,0xbfda857ecd33ba9f,1 +np.float64,0xbfd1c849d9a39094,0xbfd15849449cc378,1 +np.float64,0xffee04acdb3c0959,0xbff921fb54442d18,1 +np.float64,0xbfded1056dbda20a,0xbfdcb83b30e1528c,1 +np.float64,0x7fb7b826622f704c,0x3ff921fb54442d18,1 +np.float64,0xbfee4df8ae7c9bf1,0xbfe8431df9dfd05d,1 +np.float64,0x7fe7f3670e2fe6cd,0x3ff921fb54442d18,1 +np.float64,0x8008ac9ae0d15936,0x8008ac9ae0d15936,1 +np.float64,0x800dce9f3b3b9d3f,0x800dce9f3b3b9d3f,1 +np.float64,0x7fbb19db203633b5,0x3ff921fb54442d18,1 +np.float64,0x3fe56c7f302ad8fe,0x3fe2e0eec3ad45fd,1 +np.float64,0x7fe82c05c570580b,0x3ff921fb54442d18,1 +np.float64,0xc0552b7780aa6,0xc0552b7780aa6,1 +np.float64,0x39d40e3073a83,0x39d40e3073a83,1 +np.float64,0x3fd8db54d731b6aa,0x3fd7b589b3ee9b20,1 +np.float64,0xffcdd355233ba6ac,0xbff921fb54442d18,1 +np.float64,0x3fbe97b3a43d2f67,0x3fbe72bca9be0348,1 +np.float64,0xbff0000000000000,0xbfe921fb54442d18,1 +np.float64,0xbfb4f55e6229eac0,0xbfb4e96df18a75a7,1 +np.float64,0xbfc66399ba2cc734,0xbfc62a3298bd96fc,1 +np.float64,0x3fd00988bb201311,0x3fcf6d67a9374c38,1 +np.float64,0x7fe471867d28e30c,0x3ff921fb54442d18,1 +np.float64,0xbfe38e0e64271c1d,0xbfe18d9888b7523b,1 +np.float64,0x8009dc127573b825,0x8009dc127573b825,1 +np.float64,0x800047bde4608f7d,0x800047bde4608f7d,1 +np.float64,0xffeede42c77dbc85,0xbff921fb54442d18,1 +np.float64,0xd8cf6d13b19ee,0xd8cf6d13b19ee,1 +np.float64,0xbfd08fb302a11f66,0xbfd034b1f8235e23,1 +np.float64,0x7fdb404c0b368097,0x3ff921fb54442d18,1 +np.float64,0xbfd6ba0438ad7408,0xbfd5d673e3276ec1,1 +np.float64,0xffd9568027b2ad00,0xbff921fb54442d18,1 +np.float64,0xbfb313b73e262770,0xbfb30ab4acb4fa67,1 +np.float64,0xbfe2dc1a15e5b834,0xbfe10ac5f8f3acd3,1 +np.float64,0xbfee426bf4bc84d8,0xbfe83d061df91edd,1 +np.float64,0xd9142c2fb2286,0xd9142c2fb2286,1 +np.float64,0x7feb0d11dff61a23,0x3ff921fb54442d18,1 +np.float64,0x800fea5b509fd4b7,0x800fea5b509fd4b7,1 +np.float64,0x3fe1a8818da35103,0x3fe022ba1bdf366e,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0xbfd8fc6de6b1f8dc,0xbfd7d24726ed8dcc,1 +np.float64,0xf4b3dc2de967c,0xf4b3dc2de967c,1 +np.float64,0x8af0409b15e08,0x8af0409b15e08,1 +np.float64,0x3fb21e6934243cd2,0x3fb216b065f8709a,1 +np.float64,0x3fc53069392a60d2,0x3fc4ffa931211fb9,1 +np.float64,0xffc955812c32ab04,0xbff921fb54442d18,1 +np.float64,0xbfe3de42b1a7bc86,0xbfe1c7bd1324de75,1 +np.float64,0x1dc149a03b82a,0x1dc149a03b82a,1 +np.float64,0x8001bc5a24a378b5,0x8001bc5a24a378b5,1 +np.float64,0x3da14c407b44,0x3da14c407b44,1 +np.float64,0x80025e8da924bd1c,0x80025e8da924bd1c,1 +np.float64,0xbfcb0141c9360284,0xbfca9d572ea5e1f3,1 +np.float64,0xc90036fd92007,0xc90036fd92007,1 +np.float64,0x138312c427063,0x138312c427063,1 +np.float64,0x800dda3a963bb475,0x800dda3a963bb475,1 +np.float64,0x3fe9339934f26732,0x3fe558e723291f78,1 +np.float64,0xbfea8357027506ae,0xbfe6240826faaf48,1 +np.float64,0x7fe04735cae08e6b,0x3ff921fb54442d18,1 +np.float64,0x3fe29aca3c653594,0x3fe0da214c8bc6a4,1 +np.float64,0x3fbe1f09a03c3e13,0x3fbdfbbefef0155b,1 +np.float64,0x816ee4ad02ddd,0x816ee4ad02ddd,1 +np.float64,0xffddd1b31d3ba366,0xbff921fb54442d18,1 +np.float64,0x3fe2e01e0625c03c,0x3fe10dc0bd6677c2,1 +np.float64,0x3fec6bcf1978d79e,0x3fe73d518cddeb7c,1 +np.float64,0x7fe01aaaf8603555,0x3ff921fb54442d18,1 +np.float64,0xdf300cc5be602,0xdf300cc5be602,1 +np.float64,0xbfe71c01a36e3804,0xbfe403af80ce47b8,1 +np.float64,0xffa5be00ac2b7c00,0xbff921fb54442d18,1 +np.float64,0xbfda9ba711b5374e,0xbfd93775e3ac6bda,1 +np.float64,0xbfe56d8a27eadb14,0xbfe2e1a7185e8e6d,1 +np.float64,0x800f1bc937be3792,0x800f1bc937be3792,1 +np.float64,0x800a61d93c74c3b3,0x800a61d93c74c3b3,1 +np.float64,0x7fe71a52fcae34a5,0x3ff921fb54442d18,1 +np.float64,0x7fb4aef256295de4,0x3ff921fb54442d18,1 +np.float64,0x3fe6c1e861ed83d1,0x3fe3c828f281a7ef,1 +np.float64,0x3fba128402342508,0x3fb9fb94cf141860,1 +np.float64,0x3fee55a7ecfcab50,0x3fe8472a9af893ee,1 +np.float64,0x3fe586f31b2b0de6,0x3fe2f32bce9e91bc,1 +np.float64,0xbfbb1d1442363a28,0xbfbb034c7729d5f2,1 +np.float64,0xc78b4d3f8f16a,0xc78b4d3f8f16a,1 +np.float64,0x7fdbc277d4b784ef,0x3ff921fb54442d18,1 +np.float64,0xbfa728ca2c2e5190,0xbfa724c04e73ccbd,1 +np.float64,0x7fefc7b2143f8f63,0x3ff921fb54442d18,1 +np.float64,0x3fd153a3dda2a748,0x3fd0ebccd33a4dca,1 +np.float64,0xbfe18a6eace314de,0xbfe00ba32ec89d30,1 +np.float64,0x7feef518537dea30,0x3ff921fb54442d18,1 +np.float64,0x8005f007cd4be010,0x8005f007cd4be010,1 +np.float64,0x7fd890b840b12170,0x3ff921fb54442d18,1 +np.float64,0x7feed0582ebda0af,0x3ff921fb54442d18,1 +np.float64,0x1013f53220280,0x1013f53220280,1 +np.float64,0xbfe77273986ee4e7,0xbfe43c375a8bf6de,1 +np.float64,0x7fe3ab8918675711,0x3ff921fb54442d18,1 +np.float64,0xbfc6ad515b2d5aa4,0xbfc671b2f7f86624,1 +np.float64,0x7fcd86231d3b0c45,0x3ff921fb54442d18,1 +np.float64,0xffe2523299a4a464,0xbff921fb54442d18,1 +np.float64,0x7fcadc5a1b35b8b3,0x3ff921fb54442d18,1 +np.float64,0x3fe5e020c4ebc042,0x3fe330418eec75bd,1 +np.float64,0x7fe332a9dc266553,0x3ff921fb54442d18,1 +np.float64,0xfa11dc21f425,0xfa11dc21f425,1 +np.float64,0xbec800177d900,0xbec800177d900,1 +np.float64,0x3fcadd057835ba0b,0x3fca7aa42face8bc,1 +np.float64,0xbfe6b9a206ad7344,0xbfe3c2a9719803de,1 +np.float64,0x3fbb4250b63684a0,0x3fbb281e9cefc519,1 +np.float64,0x7fef8787517f0f0e,0x3ff921fb54442d18,1 +np.float64,0x8001315c2d6262b9,0x8001315c2d6262b9,1 +np.float64,0xbfd94e3cf2b29c7a,0xbfd819257d36f56c,1 +np.float64,0xf1f325abe3e65,0xf1f325abe3e65,1 +np.float64,0x7fd6c07079ad80e0,0x3ff921fb54442d18,1 +np.float64,0x7fe328b075a65160,0x3ff921fb54442d18,1 +np.float64,0x7fe7998f812f331e,0x3ff921fb54442d18,1 +np.float64,0xffe026bb65604d76,0xbff921fb54442d18,1 +np.float64,0xffd6c06de8ad80dc,0xbff921fb54442d18,1 +np.float64,0x3fcd5a37bf3ab46f,0x3fccda82935d98ce,1 +np.float64,0xffc3e5a45227cb48,0xbff921fb54442d18,1 +np.float64,0x3febf7dd8177efbc,0x3fe6fc0bb999883e,1 +np.float64,0x7fd7047ea92e08fc,0x3ff921fb54442d18,1 +np.float64,0x35b3fc406b680,0x35b3fc406b680,1 +np.float64,0x7fd52e97632a5d2e,0x3ff921fb54442d18,1 +np.float64,0x3fd464d401a8c9a8,0x3fd3be2967fc97c3,1 +np.float64,0x800e815b2ebd02b6,0x800e815b2ebd02b6,1 +np.float64,0x3fca8428af350850,0x3fca257b466b8970,1 +np.float64,0x8007b7526f6f6ea6,0x8007b7526f6f6ea6,1 +np.float64,0x82f60a8f05ec2,0x82f60a8f05ec2,1 +np.float64,0x3fb71a5d0a2e34c0,0x3fb70a629ef8e2a2,1 +np.float64,0x7fc8570c7d30ae18,0x3ff921fb54442d18,1 +np.float64,0x7fe5528e77eaa51c,0x3ff921fb54442d18,1 +np.float64,0xffc20dbbf1241b78,0xbff921fb54442d18,1 +np.float64,0xeb13368fd6267,0xeb13368fd6267,1 +np.float64,0x7fe7d529056faa51,0x3ff921fb54442d18,1 +np.float64,0x3fecd02eabf9a05d,0x3fe77516f0ba1ac4,1 +np.float64,0x800fcba6a09f974d,0x800fcba6a09f974d,1 +np.float64,0x7fe7e8e015afd1bf,0x3ff921fb54442d18,1 +np.float64,0xbfd271a382a4e348,0xbfd1f513a191c595,1 +np.float64,0x9f1014013e21,0x9f1014013e21,1 +np.float64,0x3fc05da47f20bb49,0x3fc04708a13a3a47,1 +np.float64,0x3fe0f427dda1e850,0x3fdf2e60ba8678b9,1 +np.float64,0xbfecb29fa539653f,0xbfe764bc791c45dd,1 +np.float64,0x45881ec68b104,0x45881ec68b104,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0x3fe9c67ee1338cfe,0x3fe5b2c7b3df6ce8,1 +np.float64,0x7fedb8fef6bb71fd,0x3ff921fb54442d18,1 +np.float64,0x3fe54f6aaaea9ed6,0x3fe2ccd1df2abaa9,1 +np.float64,0x7feff58a1bbfeb13,0x3ff921fb54442d18,1 +np.float64,0x7fe3b62827276c4f,0x3ff921fb54442d18,1 +np.float64,0x3fe5feb682ebfd6d,0x3fe345105bc6d980,1 +np.float64,0x3fe49f38d9693e72,0x3fe2518b2824757f,1 +np.float64,0x8006bfd27c6d7fa6,0x8006bfd27c6d7fa6,1 +np.float64,0x3fc13409e2226814,0x3fc119ce0c01a5a2,1 +np.float64,0x95f8c7212bf19,0x95f8c7212bf19,1 +np.float64,0x3fd9f0fa6133e1f5,0x3fd8a567515edecf,1 +np.float64,0x3fef95cbe5ff2b98,0x3fe8ec88c768ba0b,1 +np.float64,0x3fbed28bba3da510,0x3fbeacbf136e51c2,1 +np.float64,0xbfd3987aeca730f6,0xbfd303fca58e3e60,1 +np.float64,0xbfed0f90cbfa1f22,0xbfe797f59249410d,1 +np.float64,0xffe55d8cbf2abb19,0xbff921fb54442d18,1 +np.float64,0x3feb4d9fc6769b40,0x3fe69a88131a1f1f,1 +np.float64,0x80085569acd0aad4,0x80085569acd0aad4,1 +np.float64,0x20557a6e40ab0,0x20557a6e40ab0,1 +np.float64,0x3fead2fd5df5a5fb,0x3fe653091f33b27f,1 +np.float64,0x3fe7b9983eaf7330,0x3fe46a50c4b5235e,1 +np.float64,0xffdad237ffb5a470,0xbff921fb54442d18,1 +np.float64,0xbfe5cc39a4eb9874,0xbfe322ad3a903f93,1 +np.float64,0x800ad6eecb35adde,0x800ad6eecb35adde,1 +np.float64,0xffec620f6438c41e,0xbff921fb54442d18,1 +np.float64,0xbfe5ef29122bde52,0xbfe33a7dfcc255e2,1 +np.float64,0x3fd451e7d0a8a3d0,0x3fd3acfa4939af10,1 +np.float64,0x8003ea93c127d528,0x8003ea93c127d528,1 +np.float64,0x800b48d37c9691a7,0x800b48d37c9691a7,1 +np.float64,0x3fe7e202acafc405,0x3fe484558246069b,1 +np.float64,0x80070c9b686e1938,0x80070c9b686e1938,1 +np.float64,0xbfda90bbc6352178,0xbfd92e25fcd12288,1 +np.float64,0x800e1ffebb1c3ffe,0x800e1ffebb1c3ffe,1 +np.float64,0x3ff0000000000000,0x3fe921fb54442d18,1 +np.float64,0xffd8cfdd46319fba,0xbff921fb54442d18,1 +np.float64,0x7fd8cd4182319a82,0x3ff921fb54442d18,1 +np.float64,0x3fed8bb778bb176f,0x3fe7db7c77c4c694,1 +np.float64,0x3fc74a70302e94e0,0x3fc709e95d6defec,1 +np.float64,0x3fe87269d070e4d4,0x3fe4e04bcc4a2137,1 +np.float64,0x7fb48223f6290447,0x3ff921fb54442d18,1 +np.float64,0xffe8ec444b71d888,0xbff921fb54442d18,1 +np.float64,0x7fde17d280bc2fa4,0x3ff921fb54442d18,1 +np.float64,0x3fd1cbde01a397bc,0x3fd15b9bb7b3147b,1 +np.float64,0x800883a64451074d,0x800883a64451074d,1 +np.float64,0x7fe3160a3f262c13,0x3ff921fb54442d18,1 +np.float64,0xbfe051d4d9a0a3aa,0xbfde2ecf14dc75fb,1 +np.float64,0xbfd89de689b13bce,0xbfd780176d1a28a3,1 +np.float64,0x3fecde2bf779bc58,0x3fe77ccf10bdd8e2,1 +np.float64,0xffe75774dc6eaee9,0xbff921fb54442d18,1 +np.float64,0x7fe834414d706882,0x3ff921fb54442d18,1 +np.float64,0x1,0x1,1 +np.float64,0xbfea5e4e4a74bc9c,0xbfe60e0601711835,1 +np.float64,0xffec248d4cb8491a,0xbff921fb54442d18,1 +np.float64,0xffd9942c2c332858,0xbff921fb54442d18,1 +np.float64,0xa9db36a553b67,0xa9db36a553b67,1 +np.float64,0x7fec630718b8c60d,0x3ff921fb54442d18,1 +np.float64,0xbfd062188f20c432,0xbfd009ecd652be89,1 +np.float64,0x8001b84e3023709d,0x8001b84e3023709d,1 +np.float64,0xbfe9e26d7cb3c4db,0xbfe5c3b157ecf668,1 +np.float64,0xbfef66ddf33ecdbc,0xbfe8d4b1f6410a24,1 +np.float64,0x3fd8d7109431ae21,0x3fd7b1d4860719a2,1 +np.float64,0xffee0f53107c1ea5,0xbff921fb54442d18,1 +np.float64,0x80000b4fd60016a0,0x80000b4fd60016a0,1 +np.float64,0xbfd99ff6e5333fee,0xbfd85fb3cbdaa049,1 +np.float64,0xbfe9cfd268339fa5,0xbfe5b86ef021a1b1,1 +np.float64,0xe32eace1c65d6,0xe32eace1c65d6,1 +np.float64,0xffc81f6627303ecc,0xbff921fb54442d18,1 +np.float64,0x7fe98dadde331b5b,0x3ff921fb54442d18,1 +np.float64,0xbfbcebd11e39d7a0,0xbfbccc8ec47883c7,1 +np.float64,0x7fe164880f22c90f,0x3ff921fb54442d18,1 +np.float64,0x800467c0cae8cf82,0x800467c0cae8cf82,1 +np.float64,0x800071e4b140e3ca,0x800071e4b140e3ca,1 +np.float64,0xbfc87a7eae30f4fc,0xbfc82fbc55bb0f24,1 +np.float64,0xffb2e0e23225c1c8,0xbff921fb54442d18,1 +np.float64,0x20ef338041df,0x20ef338041df,1 +np.float64,0x7fe6de71ca6dbce3,0x3ff921fb54442d18,1 +np.float64,0x5d1fa026ba3f5,0x5d1fa026ba3f5,1 +np.float64,0xffd112a9ce222554,0xbff921fb54442d18,1 +np.float64,0x3fb351f66626a3ed,0x3fb3489ab578c452,1 +np.float64,0x7fef7b2bd3bef657,0x3ff921fb54442d18,1 +np.float64,0xffe144f5d4e289eb,0xbff921fb54442d18,1 +np.float64,0xffd63a6750ac74ce,0xbff921fb54442d18,1 +np.float64,0x7fd2d8bb25a5b175,0x3ff921fb54442d18,1 +np.float64,0x3fec5920a078b242,0x3fe732dcffcf6521,1 +np.float64,0x80009a8b7f813518,0x80009a8b7f813518,1 +np.float64,0x3fdea220893d4441,0x3fdc921edf6bf3d8,1 +np.float64,0x8006cee2208d9dc5,0x8006cee2208d9dc5,1 +np.float64,0xdd0b0081ba17,0xdd0b0081ba17,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xbfdac33955358672,0xbfd9592bce7daf1f,1 +np.float64,0x7fe8301d7170603a,0x3ff921fb54442d18,1 +np.float64,0xbfc1d34d8523a69c,0xbfc1b62449af9684,1 +np.float64,0x800c62239458c447,0x800c62239458c447,1 +np.float64,0xffd398c009a73180,0xbff921fb54442d18,1 +np.float64,0xbfe0c6d9ee218db4,0xbfdee777557f4401,1 +np.float64,0x3feccdd373799ba7,0x3fe773c9c2263f89,1 +np.float64,0xbfd21898bda43132,0xbfd1a2be8545fcc5,1 +np.float64,0x3fd77019b62ee033,0x3fd67793cabdf267,1 +np.float64,0x7fa609cad42c1395,0x3ff921fb54442d18,1 +np.float64,0x7fb4eaea5a29d5d4,0x3ff921fb54442d18,1 +np.float64,0x3fc570dc9a2ae1b9,0x3fc53e5f6218a799,1 +np.float64,0x800344ae8466895e,0x800344ae8466895e,1 +np.float64,0xbfc7c985252f930c,0xbfc784d60fa27bac,1 +np.float64,0xffaa2929fc345250,0xbff921fb54442d18,1 +np.float64,0xffe63e5ee9ac7cbe,0xbff921fb54442d18,1 +np.float64,0x73f0280ce7e06,0x73f0280ce7e06,1 +np.float64,0xffc525f8822a4bf0,0xbff921fb54442d18,1 +np.float64,0x7fd744d00aae899f,0x3ff921fb54442d18,1 +np.float64,0xbfe0fe590761fcb2,0xbfdf3e493e8b1f32,1 +np.float64,0xfae04ae7f5c0a,0xfae04ae7f5c0a,1 +np.float64,0xef821939df043,0xef821939df043,1 +np.float64,0x7fef6135843ec26a,0x3ff921fb54442d18,1 +np.float64,0xbfebf34dcbf7e69c,0xbfe6f97588a8f911,1 +np.float64,0xbfeec0b498fd8169,0xbfe87f2eceeead12,1 +np.float64,0x7fb67161b42ce2c2,0x3ff921fb54442d18,1 +np.float64,0x3fdcfd998639fb33,0x3fdb38934927c096,1 +np.float64,0xffda5960bc34b2c2,0xbff921fb54442d18,1 +np.float64,0xbfe11f8c71223f19,0xbfdf71fe770c96ab,1 +np.float64,0x3fe4ac1bab695838,0x3fe25aa4517b8322,1 +np.float64,0x3f730458a02608b1,0x3f73044fabb5e999,1 +np.float64,0x3fdb14ffcdb62a00,0x3fd99ea6c241a3ed,1 +np.float64,0xbfc93208cd326410,0xbfc8e09d78b6d4db,1 +np.float64,0x19e734dc33ce8,0x19e734dc33ce8,1 +np.float64,0x3fe5e98428abd308,0x3fe336a6a085eb55,1 +np.float64,0x7fec672a1378ce53,0x3ff921fb54442d18,1 +np.float64,0x800f8bd8d4ff17b2,0x800f8bd8d4ff17b2,1 +np.float64,0xbfe5a12e4e6b425c,0xbfe30533f99d5d06,1 +np.float64,0x75a34cb0eb46a,0x75a34cb0eb46a,1 +np.float64,0x7fe1d21d16a3a439,0x3ff921fb54442d18,1 +np.float64,0x7ff0000000000000,0x3ff921fb54442d18,1 +np.float64,0xffe0f50db261ea1b,0xbff921fb54442d18,1 +np.float64,0xbfd9dc22feb3b846,0xbfd8937ec965a501,1 +np.float64,0x8009d68e48d3ad1d,0x8009d68e48d3ad1d,1 +np.float64,0xbfe2eba620e5d74c,0xbfe1164d7d273c60,1 +np.float64,0x992efa09325e0,0x992efa09325e0,1 +np.float64,0x3fdab640ea356c82,0x3fd94e20cab88db2,1 +np.float64,0x69a6f04ad34df,0x69a6f04ad34df,1 +np.float64,0x3fe397df25272fbe,0x3fe194bd1a3a6192,1 +np.float64,0xebcce9fdd799d,0xebcce9fdd799d,1 +np.float64,0x3fbb49490c369292,0x3fbb2f02eccc497d,1 +np.float64,0xffd871f980b0e3f4,0xbff921fb54442d18,1 +np.float64,0x800348f6966691ee,0x800348f6966691ee,1 +np.float64,0xbfebc270a7f784e1,0xbfe6dda8d0d80f26,1 +np.float64,0xffd6d559b1adaab4,0xbff921fb54442d18,1 +np.float64,0x3fec3635c0b86c6c,0x3fe71f420256e43e,1 +np.float64,0x7fbc82ad7039055a,0x3ff921fb54442d18,1 +np.float64,0x7f873050602e60a0,0x3ff921fb54442d18,1 +np.float64,0x3fca44b8c3348970,0x3fc9e8a1a1a2d96e,1 +np.float64,0x3fe0fc308fe1f861,0x3fdf3aeb469ea225,1 +np.float64,0x7fefc27de8bf84fb,0x3ff921fb54442d18,1 +np.float64,0x8005f3f3916be7e8,0x8005f3f3916be7e8,1 +np.float64,0xbfd4278c7c284f18,0xbfd38678988873b6,1 +np.float64,0x435eafc486bd7,0x435eafc486bd7,1 +np.float64,0xbfd01f5199203ea4,0xbfcf96631f2108a3,1 +np.float64,0xffd5ee9185abdd24,0xbff921fb54442d18,1 +np.float64,0xffedb363257b66c5,0xbff921fb54442d18,1 +np.float64,0x800d68e6e11ad1ce,0x800d68e6e11ad1ce,1 +np.float64,0xbfcf687f8e3ed100,0xbfceccb771b0d39a,1 +np.float64,0x7feb3b9ef2f6773d,0x3ff921fb54442d18,1 +np.float64,0x3fe15ec5ca62bd8c,0x3fdfd3fab9d96f81,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0xd2386f81a470e,0xd2386f81a470e,1 +np.float64,0xb9feed4573fde,0xb9feed4573fde,1 +np.float64,0x3fe7ed25c9efda4c,0x3fe48b7b72db4014,1 +np.float64,0xbfe01478726028f1,0xbfddcd1f5a2efc59,1 +np.float64,0x9946d02f328da,0x9946d02f328da,1 +np.float64,0xbfe3bb67f06776d0,0xbfe1ae88aa81c5a6,1 +np.float64,0xbfd3fd8a4c27fb14,0xbfd3603982e3b78d,1 +np.float64,0xffd5c3ab912b8758,0xbff921fb54442d18,1 +np.float64,0xffd5f502b12bea06,0xbff921fb54442d18,1 +np.float64,0xbfc64981ec2c9304,0xbfc610e0382b1fa6,1 +np.float64,0xffec42e3413885c6,0xbff921fb54442d18,1 +np.float64,0x80084eb4ed109d6a,0x80084eb4ed109d6a,1 +np.float64,0xbfd17cac9fa2f95a,0xbfd112020588a4b3,1 +np.float64,0xbfd06c1359a0d826,0xbfd0134a28aa9a66,1 +np.float64,0x7fdc3d7c03b87af7,0x3ff921fb54442d18,1 +np.float64,0x7bdf5aaaf7bec,0x7bdf5aaaf7bec,1 +np.float64,0xbfee3cd966fc79b3,0xbfe83a14bc07ac3b,1 +np.float64,0x7fec910da3f9221a,0x3ff921fb54442d18,1 +np.float64,0xffb4ea667029d4d0,0xbff921fb54442d18,1 +np.float64,0x800103d7cce207b0,0x800103d7cce207b0,1 +np.float64,0x7fbb229a6c364534,0x3ff921fb54442d18,1 +np.float64,0x0,0x0,1 +np.float64,0xffd8fccd0331f99a,0xbff921fb54442d18,1 +np.float64,0xbfd0784ae1a0f096,0xbfd01ebff62e39ad,1 +np.float64,0xbfed2ec9b3ba5d93,0xbfe7a9099410bc76,1 +np.float64,0x800690b8d16d2172,0x800690b8d16d2172,1 +np.float64,0x7fc061b26520c364,0x3ff921fb54442d18,1 +np.float64,0x8007ec47054fd88f,0x8007ec47054fd88f,1 +np.float64,0x775546b6eeaa9,0x775546b6eeaa9,1 +np.float64,0x8005e00fb56bc020,0x8005e00fb56bc020,1 +np.float64,0xbfe510f8d0ea21f2,0xbfe2a16862b5a37f,1 +np.float64,0xffd87a6bf3b0f4d8,0xbff921fb54442d18,1 +np.float64,0x800906e3d0520dc8,0x800906e3d0520dc8,1 +np.float64,0x2296f000452f,0x2296f000452f,1 +np.float64,0xbfe3189fa2e63140,0xbfe1378c0e005be4,1 +np.float64,0xb4d2447f69a49,0xb4d2447f69a49,1 +np.float64,0xffd056a24a20ad44,0xbff921fb54442d18,1 +np.float64,0xbfe3b23fe4e76480,0xbfe1a7e5840fcbeb,1 +np.float64,0x80018ee270831dc6,0x80018ee270831dc6,1 +np.float64,0x800df89f245bf13e,0x800df89f245bf13e,1 +np.float64,0x3fee1409d7bc2814,0x3fe824779d133232,1 +np.float64,0xbfef8d81667f1b03,0xbfe8e85523620368,1 +np.float64,0xffd8a6519b314ca4,0xbff921fb54442d18,1 +np.float64,0x7fc7bc86f32f790d,0x3ff921fb54442d18,1 +np.float64,0xffea6159e674c2b3,0xbff921fb54442d18,1 +np.float64,0x3fe153c3fba2a788,0x3fdfc2f74769d300,1 +np.float64,0xffc4261ef3284c3c,0xbff921fb54442d18,1 +np.float64,0x7fe8a8961ff1512b,0x3ff921fb54442d18,1 +np.float64,0xbfe3fb1fd167f640,0xbfe1dc89dcb7ecdf,1 +np.float64,0x3fd88577c2b10af0,0x3fd76acc09660704,1 +np.float64,0x3fe128ec27e251d8,0x3fdf808fc7ebcd8f,1 +np.float64,0xbfed6ca7c4fad950,0xbfe7caafe9a3e213,1 +np.float64,0xbf9a3912b8347220,0xbf9a379b3349352e,1 +np.float64,0xbfd724d7bcae49b0,0xbfd6351efa2a5fc5,1 +np.float64,0xbfed59700a7ab2e0,0xbfe7c043014c694c,1 +np.float64,0x8002ad435bc55a87,0x8002ad435bc55a87,1 +np.float64,0xffe46ed345a8dda6,0xbff921fb54442d18,1 +np.float64,0x7fd2f1d1d825e3a3,0x3ff921fb54442d18,1 +np.float64,0xbfea0265e23404cc,0xbfe5d6fb3fd30464,1 +np.float64,0xbfd17e049122fc0a,0xbfd113421078bbae,1 +np.float64,0xffea03b986b40772,0xbff921fb54442d18,1 +np.float64,0x800b55331a16aa67,0x800b55331a16aa67,1 +np.float64,0xbfc6fcafbf2df960,0xbfc6be9ecd0ebc1f,1 +np.float64,0xd6a36017ad46c,0xd6a36017ad46c,1 +np.float64,0xbfe9ba86dfb3750e,0xbfe5ab840cb0ef86,1 +np.float64,0x75c4a108eb895,0x75c4a108eb895,1 +np.float64,0x8008d6bc8051ad79,0x8008d6bc8051ad79,1 +np.float64,0xbfd3dc5984a7b8b4,0xbfd341f78e0528ec,1 +np.float64,0xffe1cbb01aa39760,0xbff921fb54442d18,1 +np.float64,0x3fc7e292f52fc526,0x3fc79d0ce9365767,1 +np.float64,0xbfcbeae2bd37d5c4,0xbfcb7cb034f82467,1 +np.float64,0x8000f0c62e21e18d,0x8000f0c62e21e18d,1 +np.float64,0xbfe23d8bc6247b18,0xbfe09418ee35c3c7,1 +np.float64,0x717394bae2e73,0x717394bae2e73,1 +np.float64,0xffa2ef1cc425de40,0xbff921fb54442d18,1 +np.float64,0x3fd938c229b27184,0x3fd806900735c99d,1 +np.float64,0x800bf3ec8a77e7d9,0x800bf3ec8a77e7d9,1 +np.float64,0xffeef41dd57de83b,0xbff921fb54442d18,1 +np.float64,0x8008df97e5b1bf30,0x8008df97e5b1bf30,1 +np.float64,0xffe9ab9d0db35739,0xbff921fb54442d18,1 +np.float64,0x99ff391333fe7,0x99ff391333fe7,1 +np.float64,0x3fb864b4a630c969,0x3fb851e883ea2cf9,1 +np.float64,0x22c1230a45825,0x22c1230a45825,1 +np.float64,0xff2336fbfe467,0xff2336fbfe467,1 +np.float64,0xbfd488f4cea911ea,0xbfd3def0490f5414,1 +np.float64,0x3fa379c78426f38f,0x3fa377607370800b,1 +np.float64,0xbfb0873302210e68,0xbfb08155b78dfd53,1 +np.float64,0xbfdf9ff7c2bf3ff0,0xbfdd5f658e357ad2,1 +np.float64,0x800978719192f0e4,0x800978719192f0e4,1 +np.float64,0xbfba8759ea350eb0,0xbfba6f325013b9e5,1 +np.float64,0xbfdd3e6b06ba7cd6,0xbfdb6e472b6091b0,1 +np.float64,0x7fe0c334a7a18668,0x3ff921fb54442d18,1 +np.float64,0xbfeb971feb772e40,0xbfe6c4e0f61404d1,1 +np.float64,0x3fe2a50968e54a13,0x3fe0e1c8b8d96e85,1 +np.float64,0x800fa9c5515f538b,0x800fa9c5515f538b,1 +np.float64,0x800f8532fbbf0a66,0x800f8532fbbf0a66,1 +np.float64,0x167d6f1e2cfaf,0x167d6f1e2cfaf,1 +np.float64,0xffee88e769fd11ce,0xbff921fb54442d18,1 +np.float64,0xbfeecc8529fd990a,0xbfe885520cdad8ea,1 +np.float64,0xffefffffffffffff,0xbff921fb54442d18,1 +np.float64,0xbfef6a566afed4ad,0xbfe8d6767b4c4235,1 +np.float64,0xffec12415af82482,0xbff921fb54442d18,1 +np.float64,0x3678a20a6cf15,0x3678a20a6cf15,1 +np.float64,0xffe468d54ee8d1aa,0xbff921fb54442d18,1 +np.float64,0x800ad6006795ac01,0x800ad6006795ac01,1 +np.float64,0x8001d5b61063ab6d,0x8001d5b61063ab6d,1 +np.float64,0x800dfcd1863bf9a3,0x800dfcd1863bf9a3,1 +np.float64,0xc9fbff6f93f80,0xc9fbff6f93f80,1 +np.float64,0xffe55c20f9eab842,0xbff921fb54442d18,1 +np.float64,0xbfcb596b6536b2d8,0xbfcaf1b339c5c615,1 +np.float64,0xbfe092689ea124d1,0xbfde94fa58946e51,1 +np.float64,0x3fe9ec733af3d8e6,0x3fe5c9bf5dee2623,1 +np.float64,0x3fe30f3d83261e7b,0x3fe1309fd6620e03,1 +np.float64,0xffd31d7f84263b00,0xbff921fb54442d18,1 +np.float64,0xbfe88d2d3e711a5a,0xbfe4f12b5a136178,1 +np.float64,0xffc81e4ce1303c98,0xbff921fb54442d18,1 +np.float64,0xffe5b96ebfab72dd,0xbff921fb54442d18,1 +np.float64,0x512f0502a25e1,0x512f0502a25e1,1 +np.float64,0x7fa3a376982746ec,0x3ff921fb54442d18,1 +np.float64,0x80005b5f2f60b6bf,0x80005b5f2f60b6bf,1 +np.float64,0xc337cc69866fa,0xc337cc69866fa,1 +np.float64,0x3fe7719c4caee339,0x3fe43bab42b19e64,1 +np.float64,0x7fde7ec1d93cfd83,0x3ff921fb54442d18,1 +np.float64,0x3fd2f38f3825e71e,0x3fd26cc7b1dd0acb,1 +np.float64,0x7fce298b993c5316,0x3ff921fb54442d18,1 +np.float64,0x56ae3b2cad5c8,0x56ae3b2cad5c8,1 +np.float64,0x3fe9299f2bf2533e,0x3fe552bddd999e72,1 +np.float64,0x7feff3a4823fe748,0x3ff921fb54442d18,1 +np.float64,0xbfd05c670aa0b8ce,0xbfd00494d78e9e97,1 +np.float64,0xffe745323eae8a64,0xbff921fb54442d18,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arctanh.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arctanh.csv new file mode 100644 index 0000000000000000000000000000000000000000..68ecaab37f92c81e3edf5b8a16224a7f92429051 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-arctanh.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0x3ee82930,0x3efa60fd,2 +np.float32,0x3f0aa640,0x3f1b3e13,2 +np.float32,0x3ec1a21c,0x3ecbbf8d,2 +np.float32,0x3cdb1740,0x3cdb24a1,2 +np.float32,0xbf28b6f3,0xbf4a86ac,2 +np.float32,0xbe490dcc,0xbe4bb2eb,2 +np.float32,0x80000001,0x80000001,2 +np.float32,0xbf44f9dd,0xbf826ce1,2 +np.float32,0xbf1d66c4,0xbf37786b,2 +np.float32,0x3f0ad26a,0x3f1b7c9b,2 +np.float32,0x3f7b6c54,0x4016aab0,2 +np.float32,0xbf715bb8,0xbfe1a0bc,2 +np.float32,0xbee8a562,0xbefafd6a,2 +np.float32,0x3db94d00,0x3db9cf16,2 +np.float32,0x3ee2970c,0x3ef368b3,2 +np.float32,0x3f3f8614,0x3f77fdca,2 +np.float32,0xbf1fb5f0,0xbf3b3789,2 +np.float32,0x3f798dc0,0x400b96bb,2 +np.float32,0x3e975d64,0x3e9c0573,2 +np.float32,0xbe3f1908,0xbe415d1f,2 +np.float32,0x3f2cea38,0x3f52192e,2 +np.float32,0x3e82f1ac,0x3e85eaa1,2 +np.float32,0x3eab6b30,0x3eb24acd,2 +np.float32,0xbe9bb90c,0xbea0cf5f,2 +np.float32,0xbf43e847,0xbf81202f,2 +np.float32,0xbd232fa0,0xbd2345c0,2 +np.float32,0xbbabbc00,0xbbabbc67,2 +np.float32,0xbf0b2975,0xbf1bf808,2 +np.float32,0xbef5ab0a,0xbf05d305,2 +np.float32,0x3f2cad16,0x3f51a8e2,2 +np.float32,0xbef75940,0xbf06eb08,2 +np.float32,0xbf0c1216,0xbf1d4325,2 +np.float32,0x3e7bdc08,0x3e8090c2,2 +np.float32,0x3da14e10,0x3da1a3c5,2 +np.float32,0x3f627412,0x3fb2bf21,2 +np.float32,0xbd6d08c0,0xbd6d4ca0,2 +np.float32,0x3f3e2368,0x3f74df8b,2 +np.float32,0xbe0df104,0xbe0edc77,2 +np.float32,0x3e8a265c,0x3e8da833,2 +np.float32,0xbdccdbb0,0xbdcd8ba8,2 +np.float32,0x3eb080c4,0x3eb80a44,2 +np.float32,0x3e627800,0x3e6645fe,2 +np.float32,0xbd8be0b0,0xbd8c1886,2 +np.float32,0xbf3282ac,0xbf5cae8c,2 +np.float32,0xbe515910,0xbe545707,2 +np.float32,0xbf2e64ac,0xbf54d637,2 +np.float32,0x3e0fc230,0x3e10b6de,2 +np.float32,0x3eb13ca0,0x3eb8df94,2 +np.float32,0x3f07a3ca,0x3f170572,2 +np.float32,0x3f2c7026,0x3f513935,2 +np.float32,0x3f3c4ec8,0x3f70d67c,2 +np.float32,0xbee9cce8,0xbefc724f,2 +np.float32,0xbe53ca60,0xbe56e3f3,2 +np.float32,0x3dd9e9a0,0x3ddabd98,2 +np.float32,0x3f38b8d4,0x3f69319b,2 +np.float32,0xbe176dc4,0xbe188c1d,2 +np.float32,0xbf322f2e,0xbf5c0c51,2 +np.float32,0xbe9b8676,0xbea097a2,2 +np.float32,0xbca44280,0xbca44823,2 +np.float32,0xbe2b0248,0xbe2ca036,2 +np.float32,0x3d101e80,0x3d102dbd,2 +np.float32,0xbf4eb610,0xbf8f526d,2 +np.float32,0xbec32a50,0xbecd89d1,2 +np.float32,0x3d549100,0x3d54c1ee,2 +np.float32,0x3f78e55e,0x40087025,2 +np.float32,0x3e592798,0x3e5c802d,2 +np.float32,0x3de045d0,0x3de12cfb,2 +np.float32,0xbdad28e0,0xbdad92f7,2 +np.float32,0x3e9a69e0,0x3e9f5e59,2 +np.float32,0x3e809778,0x3e836716,2 +np.float32,0xbf3278d9,0xbf5c9b6d,2 +np.float32,0x3f39fa00,0x3f6bd4a5,2 +np.float32,0xbec8143c,0xbed34ffa,2 +np.float32,0x3ddb7f40,0x3ddc57e6,2 +np.float32,0x3f0e8342,0x3f20c634,2 +np.float32,0x3f353dda,0x3f6213a4,2 +np.float32,0xbe96b400,0xbe9b4bea,2 +np.float32,0x3e626580,0x3e66328a,2 +np.float32,0xbde091c8,0xbde179df,2 +np.float32,0x3eb47b5c,0x3ebc91ca,2 +np.float32,0xbf282182,0xbf497f2f,2 +np.float32,0x3ea9f64c,0x3eb0a748,2 +np.float32,0x3f28dd4e,0x3f4aca86,2 +np.float32,0xbf71de18,0xbfe3f587,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0xbf6696a6,0xbfbcf11a,2 +np.float32,0xbc853ae0,0xbc853de2,2 +np.float32,0xbeced246,0xbedb51b8,2 +np.float32,0x3f3472a4,0x3f607e00,2 +np.float32,0xbee90124,0xbefb7117,2 +np.float32,0x3eb45b90,0x3ebc6d7c,2 +np.float32,0xbe53ead0,0xbe5705d6,2 +np.float32,0x3f630c80,0x3fb420e2,2 +np.float32,0xbf408cd0,0xbf7a56a2,2 +np.float32,0x3dda4ed0,0x3ddb23f1,2 +np.float32,0xbf37ae88,0xbf67096b,2 +np.float32,0xbdd48c28,0xbdd550c9,2 +np.float32,0xbf5745b0,0xbf9cb4a4,2 +np.float32,0xbf44e6fc,0xbf8255c1,2 +np.float32,0x3f5c8e6a,0x3fa65020,2 +np.float32,0xbea45fe8,0xbeaa6630,2 +np.float32,0x3f08bdee,0x3f188ef5,2 +np.float32,0x3ec77e74,0x3ed29f4b,2 +np.float32,0xbf1a1d3c,0xbf324029,2 +np.float32,0x3cad7340,0x3cad79e3,2 +np.float32,0xbf4fac2e,0xbf90b72a,2 +np.float32,0x3f58516e,0x3f9e8330,2 +np.float32,0x3f442008,0x3f816391,2 +np.float32,0xbf6e0c6c,0xbfd42854,2 +np.float32,0xbf266f7a,0xbf4689b2,2 +np.float32,0x3eb7e2f0,0x3ec077ba,2 +np.float32,0xbf320fd0,0xbf5bcf83,2 +np.float32,0xbf6a76b9,0xbfc80a11,2 +np.float32,0xbf2a91b4,0xbf4dd526,2 +np.float32,0x3f176e30,0x3f2e150e,2 +np.float32,0xbdcccad0,0xbdcd7a9c,2 +np.float32,0x3f60a8a4,0x3faebbf7,2 +np.float32,0x3d9706f0,0x3d974d40,2 +np.float32,0x3ef3cd34,0x3f049d58,2 +np.float32,0xbf73c615,0xbfed79fe,2 +np.float32,0x3df1b170,0x3df2d31b,2 +np.float32,0x3f632a46,0x3fb466c7,2 +np.float32,0xbf3ea18e,0xbf75f9ce,2 +np.float32,0xbf3ea05c,0xbf75f71f,2 +np.float32,0xbdd76750,0xbdd83403,2 +np.float32,0xbca830c0,0xbca836cd,2 +np.float32,0x3f1d4162,0x3f373c59,2 +np.float32,0x3c115700,0x3c1157fa,2 +np.float32,0x3dae8ab0,0x3daef758,2 +np.float32,0xbcad5020,0xbcad56bf,2 +np.float32,0x3ee299c4,0x3ef36c15,2 +np.float32,0xbf7f566c,0xc054c3bd,2 +np.float32,0x3f0cc698,0x3f1e4557,2 +np.float32,0xbe75c648,0xbe7aaa04,2 +np.float32,0x3ea29238,0x3ea86417,2 +np.float32,0x3f09d9c0,0x3f1a1d61,2 +np.float32,0x3f67275c,0x3fbe74b3,2 +np.float32,0x3e1a4e18,0x3e1b7d3a,2 +np.float32,0xbef6e3fc,0xbf069e98,2 +np.float32,0xbf6038ac,0xbfadc9fd,2 +np.float32,0xbe46bdd4,0xbe494b7f,2 +np.float32,0xbf4df1f4,0xbf8e3a98,2 +np.float32,0x3d094dc0,0x3d095aed,2 +np.float32,0x3f44c7d2,0x3f822fa3,2 +np.float32,0xbea30816,0xbea8e737,2 +np.float32,0xbe3c27c4,0xbe3e511b,2 +np.float32,0x3f3bb47c,0x3f6f8789,2 +np.float32,0xbe423760,0xbe4498c3,2 +np.float32,0x3ece1a74,0x3eda7634,2 +np.float32,0x3f14d1f6,0x3f2a1a89,2 +np.float32,0xbf4d9e8f,0xbf8dc4c1,2 +np.float32,0xbe92968e,0xbe96cd7f,2 +np.float32,0x3e99e6c0,0x3e9ece26,2 +np.float32,0xbf397361,0xbf6ab878,2 +np.float32,0xbf4fcea4,0xbf90e99f,2 +np.float32,0x3de37640,0x3de46779,2 +np.float32,0x3eb1b604,0x3eb9698c,2 +np.float32,0xbf52d0a2,0xbf957361,2 +np.float32,0xbe20435c,0xbe21975a,2 +np.float32,0x3f437a58,0x3f809bf1,2 +np.float32,0x3f27d1cc,0x3f48f335,2 +np.float32,0x3f7d4ff2,0x4027d1e2,2 +np.float32,0xbef732e4,0xbf06d205,2 +np.float32,0x3f4a0ae6,0x3f88e18e,2 +np.float32,0x3f800000,0x7f800000,2 +np.float32,0x3e3e56a0,0x3e4093ba,2 +np.float32,0xbed2fcfa,0xbee0517d,2 +np.float32,0xbe0e0114,0xbe0eecd7,2 +np.float32,0xbe808574,0xbe8353db,2 +np.float32,0x3f572e2a,0x3f9c8c86,2 +np.float32,0x80800000,0x80800000,2 +np.float32,0x3f3f3c82,0x3f775703,2 +np.float32,0xbf6e2482,0xbfd4818b,2 +np.float32,0xbf3943b0,0xbf6a5439,2 +np.float32,0x3f6e42ac,0x3fd4f1ea,2 +np.float32,0x3eb676c4,0x3ebed619,2 +np.float32,0xbe5e56c4,0xbe61ef6c,2 +np.float32,0x3eea200c,0x3efcdb65,2 +np.float32,0x3e3d2c78,0x3e3f5ef8,2 +np.float32,0xbdfd8fb0,0xbdfede71,2 +np.float32,0xbee69c8a,0xbef86e89,2 +np.float32,0x3e9efca0,0x3ea46a1c,2 +np.float32,0x3e4c2498,0x3e4ee9ee,2 +np.float32,0xbf3cc93c,0xbf71e21d,2 +np.float32,0x3ee0d77c,0x3ef13d2b,2 +np.float32,0xbefbcd2a,0xbf09d6a3,2 +np.float32,0x3f6dbe5c,0x3fd30a3e,2 +np.float32,0x3dae63e0,0x3daed03f,2 +np.float32,0xbd5001e0,0xbd502fb9,2 +np.float32,0x3f59632a,0x3fa067c8,2 +np.float32,0x3f0d355a,0x3f1ee452,2 +np.float32,0x3f2cbe5c,0x3f51c896,2 +np.float32,0x3c5e6e80,0x3c5e7200,2 +np.float32,0xbe8ac49c,0xbe8e52f0,2 +np.float32,0x3f54e576,0x3f98c0e6,2 +np.float32,0xbeaa0762,0xbeb0ba7c,2 +np.float32,0x3ec81e88,0x3ed35c21,2 +np.float32,0x3f5a6738,0x3fa23fb6,2 +np.float32,0xbf24a682,0xbf43784a,2 +np.float32,0x1,0x1,2 +np.float32,0x3ee6bc24,0x3ef89630,2 +np.float32,0x3f19444a,0x3f30ecf5,2 +np.float32,0x3ec1fc70,0x3ecc28fc,2 +np.float32,0xbf706e14,0xbfdd92fb,2 +np.float32,0x3eccb630,0x3ed8cd98,2 +np.float32,0xbcdf7aa0,0xbcdf88d3,2 +np.float32,0xbe450da8,0xbe478a8e,2 +np.float32,0x3ec9c210,0x3ed54c0b,2 +np.float32,0xbf3b86ca,0xbf6f24d1,2 +np.float32,0x3edcc7a0,0x3eec3a5c,2 +np.float32,0x3f075d5c,0x3f16a39a,2 +np.float32,0xbf5719ce,0xbf9c69de,2 +np.float32,0x3f62cb22,0x3fb3885a,2 +np.float32,0x3f639216,0x3fb55c93,2 +np.float32,0xbf473ee7,0xbf85413a,2 +np.float32,0xbf01b66c,0xbf0eea86,2 +np.float32,0x3e872d80,0x3e8a74f8,2 +np.float32,0xbf60957e,0xbfae925c,2 +np.float32,0xbf6847b2,0xbfc1929b,2 +np.float32,0x3f78bb94,0x4007b363,2 +np.float32,0xbf47efdb,0xbf8622db,2 +np.float32,0xbe1f2308,0xbe206fd6,2 +np.float32,0xbf414926,0xbf7c0a7e,2 +np.float32,0x3eecc268,0x3f00194d,2 +np.float32,0x3eb086d0,0x3eb81120,2 +np.float32,0xbef1af80,0xbf033ff5,2 +np.float32,0xbf454e56,0xbf82d4aa,2 +np.float32,0x3e622560,0x3e65ef20,2 +np.float32,0x3f50d2b2,0x3f926a83,2 +np.float32,0x3eb2c45c,0x3eba9d2c,2 +np.float32,0x3e42d1a0,0x3e4538c9,2 +np.float32,0xbf24cc5c,0xbf43b8e3,2 +np.float32,0x3e8c6464,0x3e90141a,2 +np.float32,0xbf3abff2,0xbf6d79c5,2 +np.float32,0xbec8f2e6,0xbed456fa,2 +np.float32,0xbf787b38,0xc00698b4,2 +np.float32,0xbf58d5cd,0xbf9f6c03,2 +np.float32,0x3df4ee20,0x3df61ba8,2 +np.float32,0xbf34581e,0xbf604951,2 +np.float32,0xbeba5cf4,0xbec35119,2 +np.float32,0xbf76c22d,0xbfffc51c,2 +np.float32,0x3ef63b2c,0x3f0630b4,2 +np.float32,0x3eeadb64,0x3efdc877,2 +np.float32,0x3dfd8c70,0x3dfedb24,2 +np.float32,0x3f441600,0x3f81576d,2 +np.float32,0x3f23a0d8,0x3f41bbf6,2 +np.float32,0x3cb84d40,0x3cb85536,2 +np.float32,0xbf25cb5c,0xbf456e38,2 +np.float32,0xbc108540,0xbc108636,2 +np.float32,0xbc5b9140,0xbc5b949e,2 +np.float32,0xbf62ff40,0xbfb401dd,2 +np.float32,0x3e8e0710,0x3e91d93e,2 +np.float32,0x3f1b6ae0,0x3f344dfd,2 +np.float32,0xbf4dbbbe,0xbf8dedea,2 +np.float32,0x3f1a5fb2,0x3f32a880,2 +np.float32,0xbe56bd00,0xbe59f8cb,2 +np.float32,0xbf490a5c,0xbf87902d,2 +np.float32,0xbf513072,0xbf92f717,2 +np.float32,0x3e73ee28,0x3e78b542,2 +np.float32,0x3f0a4c7a,0x3f1abf2c,2 +np.float32,0x3e10d5c8,0x3e11d00b,2 +np.float32,0xbf771aac,0xc001207e,2 +np.float32,0x3efe2f54,0x3f0b6a46,2 +np.float32,0xbea5f3ea,0xbeac291f,2 +np.float32,0xbf1a73e8,0xbf32c845,2 +np.float32,0x3ebcc82c,0x3ec61c4f,2 +np.float32,0xbf24f492,0xbf43fd9a,2 +np.float32,0x3ecbd908,0x3ed7c691,2 +np.float32,0x3f461c5e,0x3f83d3f0,2 +np.float32,0x3eed0524,0x3f0043c1,2 +np.float32,0x3d06e840,0x3d06f4bf,2 +np.float32,0x3eb6c974,0x3ebf34d7,2 +np.float32,0xbf1c85e1,0xbf36100f,2 +np.float32,0x3ed697d0,0x3ee4ad04,2 +np.float32,0x3eab0484,0x3eb1d733,2 +np.float32,0xbf3b02f2,0xbf6e0935,2 +np.float32,0xbeeab154,0xbefd9334,2 +np.float32,0xbf695372,0xbfc49881,2 +np.float32,0x3e8aaa7c,0x3e8e36be,2 +np.float32,0xbf208754,0xbf3c8f7b,2 +np.float32,0xbe0dbf28,0xbe0ea9a1,2 +np.float32,0x3ca780c0,0x3ca786ba,2 +np.float32,0xbeb320b4,0xbebb065e,2 +np.float32,0x3f13c698,0x3f288821,2 +np.float32,0xbe8cbbec,0xbe9072c4,2 +np.float32,0x3f1ed534,0x3f39c8df,2 +np.float32,0x3e1ca450,0x3e1de190,2 +np.float32,0x3f54be1c,0x3f988134,2 +np.float32,0x3f34e4ee,0x3f6161b4,2 +np.float32,0xbf7e6913,0xc038b246,2 +np.float32,0x3d3c3f20,0x3d3c6119,2 +np.float32,0x3ca9dc80,0x3ca9e2bc,2 +np.float32,0xbf577ea2,0xbf9d161a,2 +np.float32,0xbedb22c8,0xbeea3644,2 +np.float32,0x3f22a044,0x3f400bfa,2 +np.float32,0xbe214b8c,0xbe22a637,2 +np.float32,0x3e8cd300,0x3e908bbc,2 +np.float32,0xbec4d214,0xbecf7a58,2 +np.float32,0x3e9399a4,0x3e97e7e4,2 +np.float32,0xbee6a1a2,0xbef874ed,2 +np.float32,0xbf323742,0xbf5c1bfd,2 +np.float32,0x3f48b882,0x3f8725ac,2 +np.float32,0xbf4d4dba,0xbf8d532e,2 +np.float32,0xbf59640a,0xbfa0695a,2 +np.float32,0xbf2ad562,0xbf4e4f03,2 +np.float32,0x3e317d98,0x3e334d03,2 +np.float32,0xbf6a5b71,0xbfc7b5a2,2 +np.float32,0x3e87b434,0x3e8b05cf,2 +np.float32,0xbf1c344c,0xbf358dee,2 +np.float32,0x3e449428,0x3e470c65,2 +np.float32,0xbf2c0f2f,0xbf508808,2 +np.float32,0xbec5b5ac,0xbed0859c,2 +np.float32,0xbf4aa956,0xbf89b4b1,2 +np.float32,0x3f6dd374,0x3fd35717,2 +np.float32,0x3f45f76c,0x3f83a5ef,2 +np.float32,0xbed1fba8,0xbedf1bd5,2 +np.float32,0xbd26b2d0,0xbd26ca66,2 +np.float32,0xbe9817c2,0xbe9cd1c3,2 +np.float32,0x3e725988,0x3e770875,2 +np.float32,0xbf1a8ded,0xbf32f132,2 +np.float32,0xbe695860,0xbe6d83d3,2 +np.float32,0x3d8cecd0,0x3d8d25ea,2 +np.float32,0x3f574706,0x3f9cb6ec,2 +np.float32,0xbf5c5a1f,0xbfa5eaf3,2 +np.float32,0x3e7a7c88,0x3e7fab83,2 +np.float32,0xff800000,0xffc00000,2 +np.float32,0x3f66396a,0x3fbbfbb0,2 +np.float32,0x3ed6e588,0x3ee50b53,2 +np.float32,0xbb56d500,0xbb56d532,2 +np.float32,0x3ebd23fc,0x3ec6869a,2 +np.float32,0xbf70d490,0xbfdf4af5,2 +np.float32,0x3e514f88,0x3e544d15,2 +np.float32,0x3e660f98,0x3e6a0dac,2 +np.float32,0xbf034da1,0xbf1110bb,2 +np.float32,0xbf60d9be,0xbfaf2714,2 +np.float32,0x3df67b10,0x3df7ae64,2 +np.float32,0xbeeedc0a,0xbf017010,2 +np.float32,0xbe149224,0xbe15a072,2 +np.float32,0x3f455084,0x3f82d759,2 +np.float32,0x3f210f9e,0x3f3d7093,2 +np.float32,0xbeaea3e0,0xbeb5edd3,2 +np.float32,0x3e0724b0,0x3e07efad,2 +np.float32,0x3f09a784,0x3f19d6ac,2 +np.float32,0xbf044340,0xbf125ee8,2 +np.float32,0xbf71adc9,0xbfe315fe,2 +np.float32,0x3efd3870,0x3f0ac6a8,2 +np.float32,0xbf53c7a6,0xbf96f6df,2 +np.float32,0xbf3cf784,0xbf7247af,2 +np.float32,0x3e0ce9e0,0x3e0dd035,2 +np.float32,0xbd3051a0,0xbd306d89,2 +np.float32,0x3ecab804,0x3ed66f77,2 +np.float32,0x3e984350,0x3e9d0189,2 +np.float32,0x3edd1c00,0x3eeca20b,2 +np.float32,0xbe8e22a0,0xbe91f71b,2 +np.float32,0x3ebebc18,0x3ec85fd6,2 +np.float32,0xba275c00,0xba275c01,2 +np.float32,0x3f1d8190,0x3f37a385,2 +np.float32,0x3f17343e,0x3f2dbbfe,2 +np.float32,0x3caa8000,0x3caa864e,2 +np.float32,0x3e7a7308,0x3e7fa168,2 +np.float32,0x3f7359a6,0x3feb3e1a,2 +np.float32,0xbf7ad15a,0xc012a743,2 +np.float32,0xbf122efb,0xbf262812,2 +np.float32,0xbf03ba04,0xbf11a3fa,2 +np.float32,0x3ed7a90c,0x3ee5f8d4,2 +np.float32,0xbe23e318,0xbe254eed,2 +np.float32,0xbe2866f4,0xbe29f20a,2 +np.float32,0xbeaedff2,0xbeb631d0,2 +np.float32,0x0,0x0,2 +np.float32,0x3ef2a034,0x3f03dafd,2 +np.float32,0x3f35806c,0x3f62994e,2 +np.float32,0xbf655e19,0xbfb9c718,2 +np.float32,0x3f5d54ce,0x3fa7d4f4,2 +np.float32,0x3f33e64a,0x3f5f67e3,2 +np.float32,0x3ebf4010,0x3ec8f923,2 +np.float32,0xbe050dc8,0xbe05cf70,2 +np.float32,0x3f61693e,0x3fb063b0,2 +np.float32,0xbd94ac00,0xbd94ef12,2 +np.float32,0x3e9de008,0x3ea32f61,2 +np.float32,0xbe3d042c,0xbe3f3540,2 +np.float32,0x3e8fdfc0,0x3e93d9e4,2 +np.float32,0x3f28bc48,0x3f4a9019,2 +np.float32,0x3edea928,0x3eee8b09,2 +np.float32,0xbf05f673,0xbf14b362,2 +np.float32,0xbf360730,0xbf63a914,2 +np.float32,0xbe3fb454,0xbe41fe0a,2 +np.float32,0x3f6d99a8,0x3fd28552,2 +np.float32,0xbf3ae866,0xbf6dd052,2 +np.float32,0x3f5b1164,0x3fa37aec,2 +np.float32,0xbf64a451,0xbfb7f61b,2 +np.float32,0xbdd79bd0,0xbdd86919,2 +np.float32,0x3e89fc00,0x3e8d7a85,2 +np.float32,0x3f4bf690,0x3f8b77ea,2 +np.float32,0x3cbdf280,0x3cbdfb38,2 +np.float32,0x3f138f98,0x3f2835b4,2 +np.float32,0xbe33967c,0xbe3576bc,2 +np.float32,0xbf298164,0xbf4bedda,2 +np.float32,0x3e9955cc,0x3e9e2edb,2 +np.float32,0xbf79b383,0xc00c56c0,2 +np.float32,0x3ea0834c,0x3ea61aea,2 +np.float32,0xbf511184,0xbf92c89a,2 +np.float32,0x3f4d9fba,0x3f8dc666,2 +np.float32,0x3f3387c2,0x3f5ead80,2 +np.float32,0x3e3f7360,0x3e41babb,2 +np.float32,0xbf3cc4d6,0xbf71d879,2 +np.float32,0x3f2e4402,0x3f54994e,2 +np.float32,0x3e6a7118,0x3e6eabff,2 +np.float32,0xbf05d83e,0xbf1489cc,2 +np.float32,0xbdce4fd8,0xbdcf039a,2 +np.float32,0xbf03e2f4,0xbf11dbaf,2 +np.float32,0x3f1ea0a0,0x3f397375,2 +np.float32,0x3f7aff54,0x4013cb1b,2 +np.float32,0x3f5ef158,0x3fab1801,2 +np.float32,0xbe33bcc8,0xbe359e40,2 +np.float32,0xbf04dd0e,0xbf133111,2 +np.float32,0xbf14f887,0xbf2a54d1,2 +np.float32,0x3f75c37a,0x3ff9196e,2 +np.float32,0x3f35c3c8,0x3f6320f2,2 +np.float32,0x3f53bb94,0x3f96e3c3,2 +np.float32,0x3f4d473e,0x3f8d4a19,2 +np.float32,0xbdfe19e0,0xbdff6ac9,2 +np.float32,0xbf7f0cc4,0xc049342d,2 +np.float32,0xbdbfc778,0xbdc057bb,2 +np.float32,0xbf7575b7,0xbff73067,2 +np.float32,0xbe9df488,0xbea34609,2 +np.float32,0xbefbd3c6,0xbf09daff,2 +np.float32,0x3f19962c,0x3f316cbd,2 +np.float32,0x3f7acec6,0x40129732,2 +np.float32,0xbf5db7de,0xbfa89a21,2 +np.float32,0x3f62f444,0x3fb3e830,2 +np.float32,0xbf522adb,0xbf94737f,2 +np.float32,0xbef6ceb2,0xbf0690ba,2 +np.float32,0xbf57c41e,0xbf9d8db0,2 +np.float32,0x3eb3360c,0x3ebb1eb0,2 +np.float32,0x3f29327e,0x3f4b618e,2 +np.float32,0xbf08d099,0xbf18a916,2 +np.float32,0x3ea21014,0x3ea7d369,2 +np.float32,0x3f39e516,0x3f6ba861,2 +np.float32,0x3e7c4f28,0x3e80ce08,2 +np.float32,0xbec5a7f8,0xbed07582,2 +np.float32,0xbf0b1b46,0xbf1be3e7,2 +np.float32,0xbef0e0ec,0xbf02bb2e,2 +np.float32,0x3d835a30,0x3d838869,2 +np.float32,0x3f08aa40,0x3f18736e,2 +np.float32,0x3eb0e4c8,0x3eb87bcd,2 +np.float32,0x3eb3821c,0x3ebb7564,2 +np.float32,0xbe3a7320,0xbe3c8d5a,2 +np.float32,0x3e43f8c0,0x3e466b10,2 +np.float32,0x3e914288,0x3e955b69,2 +np.float32,0x3ec7d800,0x3ed308e7,2 +np.float32,0x3e603df8,0x3e63eef2,2 +np.float32,0x3f225cac,0x3f3f9ac6,2 +np.float32,0x3e3db8f0,0x3e3ff06b,2 +np.float32,0x3f358d78,0x3f62b38c,2 +np.float32,0xbed9bd64,0xbee88158,2 +np.float32,0x800000,0x800000,2 +np.float32,0x3f1adfce,0x3f337230,2 +np.float32,0xbefdc346,0xbf0b229d,2 +np.float32,0xbf091018,0xbf190208,2 +np.float32,0xbf800000,0xff800000,2 +np.float32,0x3f27c2c4,0x3f48d8db,2 +np.float32,0x3ef59c80,0x3f05c993,2 +np.float32,0x3e18a340,0x3e19c893,2 +np.float32,0x3f209610,0x3f3ca7c5,2 +np.float32,0x3f69cc22,0x3fc60087,2 +np.float32,0xbf66cf07,0xbfbd8721,2 +np.float32,0xbf768098,0xbffdfcc4,2 +np.float32,0x3df27a40,0x3df39ec4,2 +np.float32,0x3daf5bd0,0x3dafca02,2 +np.float32,0x3f53f2be,0x3f973b41,2 +np.float32,0xbf7edcbc,0xc0436ce3,2 +np.float32,0xbdf61db8,0xbdf74fae,2 +np.float32,0x3e2c9328,0x3e2e3cb2,2 +np.float32,0x3f1a4570,0x3f327f41,2 +np.float32,0xbf766306,0xbffd32f1,2 +np.float32,0xbf468b9d,0xbf845f0f,2 +np.float32,0x3e398970,0x3e3b9bb1,2 +np.float32,0xbbefa900,0xbbefaa18,2 +np.float32,0xbf54c989,0xbf9893ad,2 +np.float32,0x3f262cf6,0x3f46169d,2 +np.float32,0x3f638a8a,0x3fb54a98,2 +np.float32,0xbeb36c78,0xbebb5cb8,2 +np.float32,0xbeac4d42,0xbeb34993,2 +np.float32,0x3f1d1942,0x3f36fbf2,2 +np.float32,0xbf5d49ba,0xbfa7bf07,2 +np.float32,0xbf182b5c,0xbf2f38d0,2 +np.float32,0x3f41a742,0x3f7ce5ef,2 +np.float32,0x3f0b9a6c,0x3f1c9898,2 +np.float32,0x3e847494,0x3e8788f3,2 +np.float32,0xbde41608,0xbde50941,2 +np.float32,0x3f693944,0x3fc44b5a,2 +np.float32,0x3f0386b2,0x3f115e37,2 +np.float32,0x3f3a08b0,0x3f6bf3c1,2 +np.float32,0xbf78ee64,0xc0089977,2 +np.float32,0xbf013a11,0xbf0e436e,2 +np.float32,0x3f00668e,0x3f0d2836,2 +np.float32,0x3e6d9850,0x3e720081,2 +np.float32,0x3eacf578,0x3eb4075d,2 +np.float32,0x3f18aef8,0x3f3004b4,2 +np.float32,0x3de342f0,0x3de43385,2 +np.float32,0x3e56cee8,0x3e5a0b85,2 +np.float32,0xbf287912,0xbf4a1966,2 +np.float32,0x3e92c948,0x3e9704c2,2 +np.float32,0x3c07d080,0x3c07d14c,2 +np.float32,0xbe90f6a0,0xbe9508e0,2 +np.float32,0x3e8b4f28,0x3e8ee884,2 +np.float32,0xbf35b56c,0xbf6303ff,2 +np.float32,0xbef512b8,0xbf057027,2 +np.float32,0x3e36c630,0x3e38c0cd,2 +np.float32,0x3f0b3ca8,0x3f1c134a,2 +np.float32,0x3e4cd610,0x3e4fa2c5,2 +np.float32,0xbf5a8372,0xbfa273a3,2 +np.float32,0xbecaad3c,0xbed662ae,2 +np.float32,0xbec372d2,0xbecddeac,2 +np.float32,0x3f6fb2b2,0x3fda8a22,2 +np.float32,0x3f365f28,0x3f645b5a,2 +np.float32,0xbecd00fa,0xbed926a4,2 +np.float32,0xbebafa32,0xbec40672,2 +np.float32,0xbf235b73,0xbf4146c4,2 +np.float32,0x3f7a4658,0x400f6e2c,2 +np.float32,0x3f35e824,0x3f636a54,2 +np.float32,0x3cb87640,0x3cb87e3c,2 +np.float32,0xbf296288,0xbf4bb6ee,2 +np.float32,0x7f800000,0xffc00000,2 +np.float32,0xbf4de86e,0xbf8e2d1a,2 +np.float32,0xbf4ace12,0xbf89e5f3,2 +np.float32,0x3d65a300,0x3d65e0b5,2 +np.float32,0xbe10c534,0xbe11bf21,2 +np.float32,0xbeba3c1c,0xbec32b3e,2 +np.float32,0x3e87eaf8,0x3e8b40b8,2 +np.float32,0x3d5c3bc0,0x3d5c722d,2 +np.float32,0x3e8c14b8,0x3e8fbdf8,2 +np.float32,0xbf06c6f0,0xbf15d327,2 +np.float32,0xbe0f1e30,0xbe100f96,2 +np.float32,0xbee244b0,0xbef30251,2 +np.float32,0x3f2a21b0,0x3f4d0c1d,2 +np.float32,0xbf5f7f81,0xbfac408e,2 +np.float32,0xbe3dba2c,0xbe3ff1b2,2 +np.float32,0x3f3ffc22,0x3f790abf,2 +np.float32,0x3edc3dac,0x3eeb90fd,2 +np.float32,0x7f7fffff,0xffc00000,2 +np.float32,0x3ecfaaac,0x3edc5485,2 +np.float32,0x3f0affbe,0x3f1bbcd9,2 +np.float32,0x3f5f2264,0x3fab7dca,2 +np.float32,0x3f37394c,0x3f66186c,2 +np.float32,0xbe6b2f6c,0xbe6f74e3,2 +np.float32,0x3f284772,0x3f49c1f1,2 +np.float32,0xbdf27bc8,0xbdf3a051,2 +np.float32,0xbc8b14e0,0xbc8b184c,2 +np.float32,0x3f6a867c,0x3fc83b07,2 +np.float32,0x3f1ec876,0x3f39b429,2 +np.float32,0x3f6fd9a8,0x3fdb28d6,2 +np.float32,0xbf473cca,0xbf853e8c,2 +np.float32,0x3e23eff8,0x3e255c23,2 +np.float32,0x3ebefdfc,0x3ec8ac5d,2 +np.float32,0x3f6c8c22,0x3fced2b1,2 +np.float32,0x3f168388,0x3f2cad44,2 +np.float32,0xbece2410,0xbeda81ac,2 +np.float32,0x3f5532f0,0x3f993eea,2 +np.float32,0x3ef1938c,0x3f032dfa,2 +np.float32,0xbef05268,0xbf025fba,2 +np.float32,0x3f552e4a,0x3f993754,2 +np.float32,0x3e9ed068,0x3ea4392d,2 +np.float32,0xbe1a0c24,0xbe1b39be,2 +np.float32,0xbf2623aa,0xbf46068c,2 +np.float32,0xbe1cc300,0xbe1e00fc,2 +np.float32,0xbe9c0576,0xbea12397,2 +np.float32,0xbd827338,0xbd82a07e,2 +np.float32,0x3f0fc31a,0x3f229786,2 +np.float32,0x3e577810,0x3e5abc7d,2 +np.float32,0x3e0e1cb8,0x3e0f0906,2 +np.float32,0x3e84d344,0x3e87ee73,2 +np.float32,0xbf39c45e,0xbf6b6337,2 +np.float32,0x3edfb25c,0x3eefd273,2 +np.float32,0x3e016398,0x3e021596,2 +np.float32,0xbefeb1be,0xbf0bc0de,2 +np.float32,0x3f37e104,0x3f677196,2 +np.float32,0x3f545316,0x3f97d500,2 +np.float32,0xbefc165a,0xbf0a06ed,2 +np.float32,0xbf0923e6,0xbf191dcd,2 +np.float32,0xbf386508,0xbf68831f,2 +np.float32,0xbf3d4630,0xbf72f4e1,2 +np.float32,0x3f3dbe82,0x3f73ff13,2 +np.float32,0xbf703de4,0xbfdcc7e2,2 +np.float32,0xbf531482,0xbf95dd1a,2 +np.float32,0xbf0af1b6,0xbf1ba8f4,2 +np.float32,0xbec8fd9c,0xbed463a4,2 +np.float32,0xbe230320,0xbe24691a,2 +np.float32,0xbf7de541,0xc02faf38,2 +np.float32,0x3efd2360,0x3f0ab8b7,2 +np.float32,0x3db7f350,0x3db87291,2 +np.float32,0x3e74c510,0x3e799924,2 +np.float32,0x3da549c0,0x3da5a5fc,2 +np.float32,0x3e8a3bc4,0x3e8dbf4a,2 +np.float32,0xbf69f086,0xbfc66e84,2 +np.float32,0x3f323f8e,0x3f5c2c17,2 +np.float32,0x3ec0ae3c,0x3ecaa334,2 +np.float32,0xbebe8966,0xbec824fc,2 +np.float32,0x3f34691e,0x3f606b13,2 +np.float32,0x3f13790e,0x3f2813f5,2 +np.float32,0xbf61c027,0xbfb12618,2 +np.float32,0x3e90c690,0x3e94d4a1,2 +np.float32,0xbefce8f0,0xbf0a920e,2 +np.float32,0xbf5c0e8a,0xbfa559a7,2 +np.float32,0x3f374f60,0x3f6645b6,2 +np.float32,0x3f25f6fa,0x3f45b967,2 +np.float32,0x3f2421aa,0x3f42963a,2 +np.float32,0x3ebfa328,0x3ec96c57,2 +np.float32,0x3e3bef28,0x3e3e1685,2 +np.float32,0x3ea3fa3c,0x3ea9f4dd,2 +np.float32,0x3f362b8e,0x3f63f2b2,2 +np.float32,0xbedcef18,0xbeec6ada,2 +np.float32,0xbdd29c88,0xbdd35bd0,2 +np.float32,0x3f261aea,0x3f45f76f,2 +np.float32,0xbe62c470,0xbe66965e,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0xbee991aa,0xbefc277b,2 +np.float32,0xbf571960,0xbf9c6923,2 +np.float32,0xbe6fb410,0xbe743b41,2 +np.float32,0x3eb1bed0,0x3eb9738d,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0x3eddcbe4,0x3eed7a69,2 +np.float32,0xbf2a81ba,0xbf4db86d,2 +np.float32,0x3f74da54,0x3ff38737,2 +np.float32,0xbeb6bff4,0xbebf29f4,2 +np.float32,0x3f445752,0x3f81a698,2 +np.float32,0x3ed081b4,0x3edd5618,2 +np.float32,0xbee73802,0xbef931b4,2 +np.float32,0xbd13f2a0,0xbd14031c,2 +np.float32,0xbb4d1200,0xbb4d122c,2 +np.float32,0xbee8777a,0xbefac393,2 +np.float32,0x3f42047c,0x3f7dc06c,2 +np.float32,0xbd089270,0xbd089f67,2 +np.float32,0xbf628c16,0xbfb2f66b,2 +np.float32,0x3e72e098,0x3e77978d,2 +np.float32,0x3ed967cc,0x3ee818e4,2 +np.float32,0x3e284c80,0x3e29d6d9,2 +np.float32,0x3f74e8ba,0x3ff3dbef,2 +np.float32,0x3f013e86,0x3f0e4969,2 +np.float32,0xbf610d4f,0xbfaf983c,2 +np.float32,0xbf3c8d36,0xbf715eba,2 +np.float32,0xbedbc756,0xbeeaffdb,2 +np.float32,0x3e143ec8,0x3e154b4c,2 +np.float32,0xbe1c9808,0xbe1dd4fc,2 +np.float32,0xbe887a1e,0xbe8bdac5,2 +np.float32,0xbe85c4bc,0xbe88f17a,2 +np.float32,0x3f35967e,0x3f62c5b4,2 +np.float32,0x3ea2c4a4,0x3ea89c2d,2 +np.float32,0xbc8703c0,0xbc8706e1,2 +np.float32,0xbf13d52c,0xbf289dff,2 +np.float32,0xbf63bb56,0xbfb5bf29,2 +np.float32,0xbf61c5ef,0xbfb13319,2 +np.float32,0xbf128410,0xbf26a675,2 +np.float32,0x3f03fcf2,0x3f11ff13,2 +np.float32,0xbe49c924,0xbe4c75cd,2 +np.float32,0xbf211a9c,0xbf3d82c5,2 +np.float32,0x3f7e9d52,0x403d1b42,2 +np.float32,0x3edfefd4,0x3ef01e71,2 +np.float32,0x3ebc5bd8,0x3ec59efb,2 +np.float32,0x3d7b02e0,0x3d7b537f,2 +np.float32,0xbf1163ba,0xbf24fb43,2 +np.float32,0x3f5072f2,0x3f91dbf1,2 +np.float32,0xbee700ce,0xbef8ec60,2 +np.float32,0x3f534168,0x3f962359,2 +np.float32,0x3e6d6c40,0x3e71d1ef,2 +np.float32,0x3def9d70,0x3df0b7a8,2 +np.float32,0x3e89cf80,0x3e8d4a8a,2 +np.float32,0xbf687ca7,0xbfc2290f,2 +np.float32,0x3f35e134,0x3f635c51,2 +np.float32,0x3e59eef8,0x3e5d50fa,2 +np.float32,0xbf65c9e1,0xbfbada61,2 +np.float32,0xbf759292,0xbff7e43d,2 +np.float32,0x3f4635a0,0x3f83f372,2 +np.float32,0x3f29baaa,0x3f4c53f1,2 +np.float32,0x3f6b15a6,0x3fc9fe04,2 +np.float32,0x3edabc88,0x3ee9b922,2 +np.float32,0x3ef382e0,0x3f046d4d,2 +np.float32,0xbe351310,0xbe36ff7f,2 +np.float32,0xbf05c935,0xbf14751c,2 +np.float32,0xbf0e7c50,0xbf20bc24,2 +np.float32,0xbf69bc94,0xbfc5d1b8,2 +np.float32,0xbed41aca,0xbee1aa23,2 +np.float32,0x3f518c08,0x3f938162,2 +np.float32,0xbf3d7974,0xbf73661a,2 +np.float32,0x3f1951a6,0x3f3101c9,2 +np.float32,0xbeb3f436,0xbebbf787,2 +np.float32,0xbf77a190,0xc0031d43,2 +np.float32,0x3eb5b3cc,0x3ebdf6e7,2 +np.float32,0xbed534b4,0xbee2fed2,2 +np.float32,0xbe53e1b8,0xbe56fc56,2 +np.float32,0x3f679e20,0x3fbfb91c,2 +np.float32,0xff7fffff,0xffc00000,2 +np.float32,0xbf7b9bcb,0xc0180073,2 +np.float32,0xbf5635e8,0xbf9aea15,2 +np.float32,0xbe5a3318,0xbe5d9856,2 +np.float32,0xbe003284,0xbe00df9a,2 +np.float32,0x3eb119a4,0x3eb8b7d6,2 +np.float32,0xbf3bccf8,0xbf6fbc84,2 +np.float32,0x3f36f600,0x3f658ea8,2 +np.float32,0x3f1ea834,0x3f397fc2,2 +np.float32,0xbe7cfb54,0xbe8129b3,2 +np.float32,0xbe9b3746,0xbea0406a,2 +np.float32,0x3edc0f90,0x3eeb586c,2 +np.float32,0x3e1842e8,0x3e19660c,2 +np.float32,0xbd8f10b0,0xbd8f4c70,2 +np.float32,0xbf064aca,0xbf1527a2,2 +np.float32,0x3e632e58,0x3e6705be,2 +np.float32,0xbef28ba4,0xbf03cdbb,2 +np.float32,0x3f27b21e,0x3f48bbaf,2 +np.float32,0xbe6f30d4,0xbe73b06e,2 +np.float32,0x3f3e6cb0,0x3f75834b,2 +np.float32,0xbf264aa5,0xbf4649f0,2 +np.float32,0xbf690775,0xbfc3b978,2 +np.float32,0xbf3e4a38,0xbf753632,2 +np.float64,0x3fe12bbe8c62577e,0x3fe32de8e5f961b0,1 +np.float64,0x3fc9b8909b337120,0x3fca1366da00efff,1 +np.float64,0x3feaee4245f5dc84,0x3ff3a011ea0432f3,1 +np.float64,0xbfe892c000f12580,0xbff03e5adaed6f0c,1 +np.float64,0xbf9be8de4837d1c0,0xbf9beaa367756bd1,1 +np.float64,0x3fe632e58fec65cc,0x3feb5ccc5114ca38,1 +np.float64,0x3fe78a0ef7ef141e,0x3fee1b4521d8eb6c,1 +np.float64,0x3feec27a65fd84f4,0x3fff643c8318e81e,1 +np.float64,0x3fbed6efce3dade0,0x3fbefd76cff00111,1 +np.float64,0xbfe3a05fab6740c0,0xbfe6db078aeeb0ca,1 +np.float64,0x3fdca11a56b94234,0x3fdece9e6eacff1b,1 +np.float64,0x3fe0fb15aae1f62c,0x3fe2e9e095ec2089,1 +np.float64,0x3fede12abf7bc256,0x3ffafd0ff4142807,1 +np.float64,0x3feb919edcf7233e,0x3ff4c9aa0bc2432f,1 +np.float64,0x3fd39633b5a72c68,0x3fd43c2e6d5f441c,1 +np.float64,0x3fd9efcbfeb3df98,0x3fdb83f03e58f91c,1 +np.float64,0x3fe2867a36650cf4,0x3fe525858c8ce72e,1 +np.float64,0x3fdacbb8f3b59770,0x3fdc8cd431b6e3ff,1 +np.float64,0x3fcc120503382408,0x3fcc88a8fa43e1c6,1 +np.float64,0xbfd99ff4eab33fea,0xbfdb24a20ae3687d,1 +np.float64,0xbfe8caf0157195e0,0xbff083b8dd0941d3,1 +np.float64,0x3fddc9bf92bb9380,0x3fe022aac0f761d5,1 +np.float64,0x3fe2dbb66e65b76c,0x3fe5a6e7caf3f1f2,1 +np.float64,0x3fe95f5c4a72beb8,0x3ff1444697e96138,1 +np.float64,0xbfc6b163d92d62c8,0xbfc6ef6e006658a1,1 +np.float64,0x3fdf1b2616be364c,0x3fe0fcbd2848c9e8,1 +np.float64,0xbfdca1ccf7b9439a,0xbfdecf7dc0eaa663,1 +np.float64,0x3fe078d6a260f1ae,0x3fe236a7c66ef6c2,1 +np.float64,0x3fdf471bb9be8e38,0x3fe11990ec74e704,1 +np.float64,0xbfe417626be82ec5,0xbfe79c9aa5ed2e2f,1 +np.float64,0xbfeb9cf5677739eb,0xbff4dfc24c012c90,1 +np.float64,0x3f8d9142b03b2280,0x3f8d91c9559d4779,1 +np.float64,0x3fb052c67220a590,0x3fb05873c90d1cd6,1 +np.float64,0x3fd742e2c7ae85c4,0x3fd860128947d15d,1 +np.float64,0x3fec2e2a2bf85c54,0x3ff60eb554bb8d71,1 +np.float64,0xbfeb2b8bc8f65718,0xbff40b734679497a,1 +np.float64,0x3fe25f8e0d64bf1c,0x3fe4eb381d077803,1 +np.float64,0x3fe56426256ac84c,0x3fe9dafbe79370f0,1 +np.float64,0x3feecc1e5d7d983c,0x3fffa49bedc7aa25,1 +np.float64,0xbfc88ce94b3119d4,0xbfc8dbba0fdee2d2,1 +np.float64,0xbfabcf51ac379ea0,0xbfabd6552aa63da3,1 +np.float64,0xbfccc8b849399170,0xbfcd48d6ff057a4d,1 +np.float64,0x3fd2f831e8a5f064,0x3fd38e67b0dda905,1 +np.float64,0x3fcafdcd6135fb98,0x3fcb670ae2ef4d36,1 +np.float64,0x3feda6042efb4c08,0x3ffa219442ac4ea5,1 +np.float64,0x3fed382b157a7056,0x3ff8bc01bc6d10bc,1 +np.float64,0x3fed858a50fb0b14,0x3ff9b1c05cb6cc0f,1 +np.float64,0x3fcc3960653872c0,0x3fccb2045373a3d1,1 +np.float64,0xbfec5177e478a2f0,0xbff65eb4557d94eb,1 +np.float64,0x3feafe0d5e75fc1a,0x3ff3bb4a260a0dcb,1 +np.float64,0x3fe08bc87ee11790,0x3fe25078aac99d31,1 +np.float64,0xffefffffffffffff,0xfff8000000000000,1 +np.float64,0x3f79985ce0333100,0x3f799872b591d1cb,1 +np.float64,0xbfd4001cf9a8003a,0xbfd4b14b9035b94f,1 +np.float64,0x3fe54a17e6ea9430,0x3fe9ac0f18682343,1 +np.float64,0xbfb4e07fea29c100,0xbfb4ec6520dd0689,1 +np.float64,0xbfed2b6659fa56cd,0xbff895ed57dc1450,1 +np.float64,0xbfe81fc8b5f03f92,0xbfef6b95e72a7a7c,1 +np.float64,0xbfe6aced16ed59da,0xbfec4ce131ee3704,1 +np.float64,0xbfe599f30ceb33e6,0xbfea3d07c1cd78e2,1 +np.float64,0xbfe0ff278b61fe4f,0xbfe2ef8b5efa89ed,1 +np.float64,0xbfe3e9406467d281,0xbfe750e43e841736,1 +np.float64,0x3fcc6b52cf38d6a8,0x3fcce688f4fb2cf1,1 +np.float64,0xbfc890e8133121d0,0xbfc8dfdfee72d258,1 +np.float64,0x3fe46e81dbe8dd04,0x3fe82e09783811a8,1 +np.float64,0x3fd94455e5b288ac,0x3fdab7cef2de0b1f,1 +np.float64,0xbfe82151fff042a4,0xbfef6f254c9696ca,1 +np.float64,0x3fcee1ac1d3dc358,0x3fcf80a6ed07070a,1 +np.float64,0x3fcce8f90939d1f0,0x3fcd6ad18d34f8b5,1 +np.float64,0x3fd6afe56fad5fcc,0x3fd7b7567526b1fb,1 +np.float64,0x3fb1a77092234ee0,0x3fb1ae9fe0d176fc,1 +np.float64,0xbfeb758b0d76eb16,0xbff493d105652edc,1 +np.float64,0xbfb857c24e30af88,0xbfb86aa4da3be53f,1 +np.float64,0x3fe89064eff120ca,0x3ff03b7c5b3339a8,1 +np.float64,0xbfc1bd2fef237a60,0xbfc1da99893473ed,1 +np.float64,0xbfe5ad6e2eeb5adc,0xbfea60ed181b5c05,1 +np.float64,0x3fd5a66358ab4cc8,0x3fd6899e640aeb1f,1 +np.float64,0xbfe198e832e331d0,0xbfe3c8c9496d0de5,1 +np.float64,0xbfdaa5c0d7b54b82,0xbfdc5ed7d3c5ce49,1 +np.float64,0x3fcceccb6939d998,0x3fcd6ed88c2dd3a5,1 +np.float64,0xbfe44413eae88828,0xbfe7e6cd32b34046,1 +np.float64,0xbfc7cbeccf2f97d8,0xbfc8139a2626edae,1 +np.float64,0x3fbf31e4fa3e63d0,0x3fbf59c6e863255e,1 +np.float64,0x3fdf03fa05be07f4,0x3fe0ed953f7989ad,1 +np.float64,0x3fe7f4eaceefe9d6,0x3fef092ca7e2ac39,1 +np.float64,0xbfc084e9d92109d4,0xbfc09ca10fd6aaea,1 +np.float64,0xbf88cfbf70319f80,0xbf88d00effa6d897,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xbfa0176e9c202ee0,0xbfa018ca0a6ceef3,1 +np.float64,0xbfd88d0815b11a10,0xbfd9dfc6c6bcbe4e,1 +np.float64,0x3fe89f7730713eee,0x3ff04de52fb536f3,1 +np.float64,0xbfedc9707bfb92e1,0xbffaa25fcf9dd6da,1 +np.float64,0x3fe936d1a6726da4,0x3ff10e40c2d94bc9,1 +np.float64,0x3fdb64aec7b6c95c,0x3fdd473177317b3f,1 +np.float64,0xbfee4f9aaefc9f35,0xbffcdd212667003c,1 +np.float64,0x3fe3730067e6e600,0x3fe692b0a0babf5f,1 +np.float64,0xbfc257e58924afcc,0xbfc27871f8c218d7,1 +np.float64,0x3fe62db12dec5b62,0x3feb52c61b97d9f6,1 +np.float64,0xbfe3ff491367fe92,0xbfe774f1b3a96fd6,1 +np.float64,0x3fea43255274864a,0x3ff28b0c4b7b8d21,1 +np.float64,0xbfea37923c746f24,0xbff27962159f2072,1 +np.float64,0x3fcd0ac3c73a1588,0x3fcd8e6f8de41755,1 +np.float64,0xbfdccafde6b995fc,0xbfdf030fea8a0630,1 +np.float64,0x3fdba35268b746a4,0x3fdd94094f6f50c1,1 +np.float64,0x3fc68ea1d92d1d40,0x3fc6cb8d07cbb0e4,1 +np.float64,0xbfb88b1f6e311640,0xbfb89e7af4e58778,1 +np.float64,0xbfedc7cadffb8f96,0xbffa9c3766227956,1 +np.float64,0x3fe7928d3eef251a,0x3fee2dcf2ac7961b,1 +np.float64,0xbfeff42ede7fe85e,0xc00cef6b0f1e8323,1 +np.float64,0xbfebf07fa477e0ff,0xbff5893f99e15236,1 +np.float64,0x3fe3002ab9660056,0x3fe5defba550c583,1 +np.float64,0x3feb8f4307f71e86,0x3ff4c517ec8d6de9,1 +np.float64,0x3fd3c16f49a782e0,0x3fd46becaacf74da,1 +np.float64,0x3fc7613df12ec278,0x3fc7a52b2a3c3368,1 +np.float64,0xbfe33af560e675eb,0xbfe63a6528ff1587,1 +np.float64,0xbfde86495abd0c92,0xbfe09bd7ba05b461,1 +np.float64,0x3fe1e7fb4ee3cff6,0x3fe43b04311c0ab6,1 +np.float64,0xbfc528b6bd2a516c,0xbfc55ae0a0c184c8,1 +np.float64,0xbfd81025beb0204c,0xbfd94dd72d804613,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0x3fc1151c47222a38,0x3fc12f5aad80a6bf,1 +np.float64,0x3feafa136775f426,0x3ff3b46854da0b3a,1 +np.float64,0x3fed2da0747a5b40,0x3ff89c85b658459e,1 +np.float64,0x3fda2a4b51b45498,0x3fdbca0d908ddbbd,1 +np.float64,0xbfd04cf518a099ea,0xbfd0aae0033b9e4c,1 +np.float64,0xbfb9065586320ca8,0xbfb91adb7e31f322,1 +np.float64,0xbfd830b428b06168,0xbfd973ca3c484d8d,1 +np.float64,0x3fc952f7ed32a5f0,0x3fc9a9994561fc1a,1 +np.float64,0xbfeb06c83c760d90,0xbff3ca77b326df20,1 +np.float64,0xbfeb1c98ac763931,0xbff3f0d0900f6149,1 +np.float64,0x3fdf061dbebe0c3c,0x3fe0eefb32b48d17,1 +np.float64,0xbf9acbaf28359760,0xbf9acd4024be9fec,1 +np.float64,0x3fec0adde2f815bc,0x3ff5c1628423794d,1 +np.float64,0xbfc4bc750d2978ec,0xbfc4eba43f590b94,1 +np.float64,0x3fdbe47878b7c8f0,0x3fdde44a2b500d73,1 +np.float64,0x3fe160d18162c1a4,0x3fe378cff08f18f0,1 +np.float64,0x3fc3b58dfd276b18,0x3fc3de01d3802de9,1 +np.float64,0x3fa860343430c060,0x3fa864ecd07ec962,1 +np.float64,0x3fcaebfb4b35d7f8,0x3fcb546512d1b4c7,1 +np.float64,0x3fe3fda558e7fb4a,0x3fe772412e5776de,1 +np.float64,0xbfe8169f2c702d3e,0xbfef5666c9a10f6d,1 +np.float64,0x3feda78e9efb4f1e,0x3ffa270712ded769,1 +np.float64,0xbfda483161b49062,0xbfdbedfbf2e850ba,1 +np.float64,0x3fd7407cf3ae80f8,0x3fd85d4f52622743,1 +np.float64,0xbfd63de4d4ac7bca,0xbfd73550a33e3c32,1 +np.float64,0xbfd9c30b90b38618,0xbfdb4e7695c856f3,1 +np.float64,0x3fcd70c00b3ae180,0x3fcdfa0969e0a119,1 +np.float64,0x3feb4f127f769e24,0x3ff44bf42514e0f4,1 +np.float64,0xbfec1db44af83b69,0xbff5ea54aed1f8e9,1 +np.float64,0x3fd68ff051ad1fe0,0x3fd792d0ed6d6122,1 +np.float64,0x3fe0a048a5614092,0x3fe26c80a826b2a2,1 +np.float64,0x3fd59f3742ab3e70,0x3fd6818563fcaf80,1 +np.float64,0x3fca26ecf9344dd8,0x3fca867ceb5d7ba8,1 +np.float64,0x3fdc1d547ab83aa8,0x3fde2a9cea866484,1 +np.float64,0xbfc78df6312f1bec,0xbfc7d3719b698a39,1 +np.float64,0x3fe754e72b6ea9ce,0x3feda89ea844a2e5,1 +np.float64,0x3fe740c1a4ee8184,0x3fed7dc56ec0c425,1 +np.float64,0x3fe77566a9eeeace,0x3fedee6f408df6de,1 +np.float64,0xbfbbf5bf8e37eb80,0xbfbc126a223781b4,1 +np.float64,0xbfe0acb297615965,0xbfe27d86681ca2b5,1 +np.float64,0xbfc20a0487241408,0xbfc228f5f7d52ce8,1 +np.float64,0xfff0000000000000,0xfff8000000000000,1 +np.float64,0x3fef98a4dbff314a,0x40043cfb60bd46fa,1 +np.float64,0x3fd059102ca0b220,0x3fd0b7d2be6d7822,1 +np.float64,0x3fe89f18a1f13e32,0x3ff04d714bbbf400,1 +np.float64,0x3fd45b6275a8b6c4,0x3fd516a44a276a4b,1 +np.float64,0xbfe04463e86088c8,0xbfe1ef9dfc9f9a53,1 +np.float64,0xbfe086e279610dc5,0xbfe249c9c1040a13,1 +np.float64,0x3f89c9b110339380,0x3f89ca0a641454b5,1 +np.float64,0xbfb5f5b4322beb68,0xbfb6038dc3fd1516,1 +np.float64,0x3fe6eae76f6dd5ce,0x3feccabae04d5c14,1 +np.float64,0x3fa9ef6c9c33dee0,0x3fa9f51c9a8c8a2f,1 +np.float64,0xbfe171b45f62e368,0xbfe390ccc4c01bf6,1 +np.float64,0x3fb2999442253330,0x3fb2a1fc006804b5,1 +np.float64,0x3fd124bf04a24980,0x3fd1927abb92472d,1 +np.float64,0xbfe6e05938edc0b2,0xbfecb519ba78114f,1 +np.float64,0x3fed466ee6fa8cde,0x3ff8e75405b50490,1 +np.float64,0xbfb999aa92333358,0xbfb9afa4f19f80a2,1 +np.float64,0xbfe98969ed7312d4,0xbff17d887b0303e7,1 +np.float64,0x3fe782843e6f0508,0x3fee0adbeebe3486,1 +np.float64,0xbfe232fcc26465fa,0xbfe4a90a68d46040,1 +np.float64,0x3fd190a90fa32154,0x3fd206f56ffcdca2,1 +np.float64,0xbfc4f8b75929f170,0xbfc5298b2d4e7740,1 +np.float64,0xbfba3a63d63474c8,0xbfba520835c2fdc2,1 +np.float64,0xbfb7708eea2ee120,0xbfb781695ec17846,1 +np.float64,0x3fed9fb7a5fb3f70,0x3ffa0b717bcd1609,1 +np.float64,0xbfc1b158cd2362b0,0xbfc1ce87345f3473,1 +np.float64,0x3f963478082c6900,0x3f96355c3000953b,1 +np.float64,0x3fc5050e532a0a20,0x3fc536397f38f616,1 +np.float64,0x3fe239f9eee473f4,0x3fe4b360da3b2faa,1 +np.float64,0xbfd66bd80eacd7b0,0xbfd769a29fd784c0,1 +np.float64,0x3fc57cdad52af9b8,0x3fc5b16b937f5f72,1 +np.float64,0xbfd3c36a0aa786d4,0xbfd46e1cd0b4eddc,1 +np.float64,0x3feff433487fe866,0x400cf0ea1def3161,1 +np.float64,0xbfed5577807aaaef,0xbff915e8f6bfdf22,1 +np.float64,0xbfca0dd3eb341ba8,0xbfca6c4d11836cb6,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0xbf974deaa82e9be0,0xbf974ef26a3130d1,1 +np.float64,0xbfe7f425e1efe84c,0xbfef076cb00d649d,1 +np.float64,0xbfe4413605e8826c,0xbfe7e20448b8a4b1,1 +np.float64,0xbfdfad202cbf5a40,0xbfe15cd9eb2be707,1 +np.float64,0xbfe43261ee6864c4,0xbfe7c952c951fe33,1 +np.float64,0xbfec141225782824,0xbff5d54d33861d98,1 +np.float64,0x3fd0f47abaa1e8f4,0x3fd15e8691a7f1c2,1 +np.float64,0x3fd378f0baa6f1e0,0x3fd41bea4a599081,1 +np.float64,0xbfb52523462a4a48,0xbfb5317fa7f436e2,1 +np.float64,0x3fcb30797d3660f0,0x3fcb9c174ea401ff,1 +np.float64,0xbfd48480dea90902,0xbfd5446e02c8b329,1 +np.float64,0xbfee4ae3ab7c95c7,0xbffcc650340ba274,1 +np.float64,0xbfeab086d075610e,0xbff3387f4e83ae26,1 +np.float64,0x3fa17cddf422f9c0,0x3fa17e9bf1b25736,1 +np.float64,0xbfe3064536e60c8a,0xbfe5e86aa5244319,1 +np.float64,0x3feb2882c5765106,0x3ff40604c7d97d44,1 +np.float64,0xbfa6923ff42d2480,0xbfa695ff57b2fc3f,1 +np.float64,0xbfa8bdbdcc317b80,0xbfa8c2ada0d94aa7,1 +np.float64,0x3fe7f16b8e6fe2d8,0x3fef013948c391a6,1 +np.float64,0x3fe4e7169f69ce2e,0x3fe8fceef835050a,1 +np.float64,0x3fed877638fb0eec,0x3ff9b83694127959,1 +np.float64,0xbfe0cc9ecf61993e,0xbfe2a978234cbde5,1 +np.float64,0xbfe977e79672efcf,0xbff16589ea494a38,1 +np.float64,0xbfe240130ae48026,0xbfe4bc69113e0d7f,1 +np.float64,0x3feb1e9b70763d36,0x3ff3f4615938a491,1 +np.float64,0xbfdf197dfcbe32fc,0xbfe0fba78a0fc816,1 +np.float64,0xbfee0f8543fc1f0a,0xbffbb9d9a4ee5387,1 +np.float64,0x3fe88d2191f11a44,0x3ff037843b5b6313,1 +np.float64,0xbfd11bb850a23770,0xbfd188c1cef40007,1 +np.float64,0xbfa1b36e9c2366e0,0xbfa1b53d1d8a8bc4,1 +np.float64,0xbfea2d70d9f45ae2,0xbff26a0629e36b3e,1 +np.float64,0xbfd9188703b2310e,0xbfda83f9ddc18348,1 +np.float64,0xbfee194894fc3291,0xbffbe3c83b61e7cb,1 +np.float64,0xbfe093b4a9e1276a,0xbfe25b4ad6f8f83d,1 +np.float64,0x3fea031489f4062a,0x3ff22accc000082e,1 +np.float64,0xbfc6c0827b2d8104,0xbfc6ff0a94326381,1 +np.float64,0x3fef5cd340feb9a6,0x4002659c5a1b34af,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0x3fd97cb533b2f96c,0x3fdafab28aaae8e3,1 +np.float64,0x3fe2123334642466,0x3fe478bd83a8ce02,1 +np.float64,0xbfd9a69637b34d2c,0xbfdb2c87c6b6fb8c,1 +np.float64,0x3fc58def7f2b1be0,0x3fc5c2ff724a9f61,1 +np.float64,0xbfedd5da1f7babb4,0xbffad15949b7fb22,1 +np.float64,0x3fe90e92a0721d26,0x3ff0d9b64323efb8,1 +np.float64,0x3fd34b9442a69728,0x3fd3e9f8fe80654e,1 +np.float64,0xbfc5f509ab2bea14,0xbfc62d2ad325c59f,1 +np.float64,0x3feb245634f648ac,0x3ff3fe91a46acbe1,1 +np.float64,0x3fd101e539a203cc,0x3fd16cf52ae6d203,1 +np.float64,0xbfc51e9ba72a3d38,0xbfc5507d00521ba3,1 +np.float64,0x3fe5fe1683ebfc2e,0x3feaf7dd8b1f92b0,1 +np.float64,0x3fc362e59126c5c8,0x3fc389601814170b,1 +np.float64,0x3fea34dbd77469b8,0x3ff27542eb721e7e,1 +np.float64,0xbfc13ed241227da4,0xbfc159d42c0a35a9,1 +np.float64,0xbfe6df118cedbe23,0xbfecb27bb5d3f784,1 +np.float64,0x3fd92895f6b2512c,0x3fda96f5f94b625e,1 +np.float64,0xbfe7ea3aa76fd476,0xbfeef0e93939086e,1 +np.float64,0xbfc855498330aa94,0xbfc8a1ff690c9533,1 +np.float64,0x3fd9f27b3ab3e4f8,0x3fdb8726979afc3b,1 +np.float64,0x3fc65d52232cbaa8,0x3fc698ac4367afba,1 +np.float64,0x3fd1271dd0a24e3c,0x3fd195087649d54e,1 +np.float64,0xbfe983445df30689,0xbff175158b773b90,1 +np.float64,0xbfe0d9b13261b362,0xbfe2bb8908fc9e6e,1 +np.float64,0x3fd7671f2aaece40,0x3fd889dccbf21629,1 +np.float64,0x3fe748aebfee915e,0x3fed8e970d94c17d,1 +np.float64,0x3fea756e4e74eadc,0x3ff2d947ef3a54f4,1 +np.float64,0x3fde22311cbc4464,0x3fe05b4ce9df1fdd,1 +np.float64,0x3fe2b55ec1e56abe,0x3fe56c6849e3985a,1 +np.float64,0x3fed7b47437af68e,0x3ff98f8e82de99a0,1 +np.float64,0x3fec8184b179030a,0x3ff6d03aaf0135ba,1 +np.float64,0x3fc9ea825533d508,0x3fca4776d7190e71,1 +np.float64,0xbfe8ddd58b71bbab,0xbff09b770ed7bc9a,1 +np.float64,0xbfed41741bfa82e8,0xbff8d81c2a9fc615,1 +np.float64,0x3fe0a73888e14e72,0x3fe27602ad9a3726,1 +np.float64,0xbfe9d0a565f3a14b,0xbff1e1897b628f66,1 +np.float64,0x3fda12b381b42568,0x3fdbadbec22fbd5a,1 +np.float64,0x3fef0081187e0102,0x4000949eff8313c2,1 +np.float64,0x3fef6942b67ed286,0x4002b7913eb1ee76,1 +np.float64,0x3fda10f882b421f0,0x3fdbababa2d6659d,1 +np.float64,0x3fe5828971eb0512,0x3fea122b5088315a,1 +np.float64,0x3fe9d4b53ff3a96a,0x3ff1e75c148bda01,1 +np.float64,0x3fe95d246bf2ba48,0x3ff1414a61a136ec,1 +np.float64,0x3f9e575eb83caec0,0x3f9e59a4f17179e3,1 +np.float64,0x3fdb0a20b5b61440,0x3fdcd8a56178a17f,1 +np.float64,0xbfdef425e3bde84c,0xbfe0e33eeacf3861,1 +np.float64,0x3fd6afcf6bad5fa0,0x3fd7b73d47288347,1 +np.float64,0x3fe89256367124ac,0x3ff03dd9f36ce40e,1 +np.float64,0x3fe7e560fcefcac2,0x3feee5ef8688b60b,1 +np.float64,0x3fedef55e1fbdeac,0x3ffb350ee1df986b,1 +np.float64,0xbfe44b926de89725,0xbfe7f3539910c41f,1 +np.float64,0x3fc58310f32b0620,0x3fc5b7cfdba15bd0,1 +np.float64,0x3f736d256026da00,0x3f736d2eebe91a90,1 +np.float64,0x3feb012d2076025a,0x3ff3c0b5d21a7259,1 +np.float64,0xbfe466a6c468cd4e,0xbfe820c9c197601f,1 +np.float64,0x3fe1aba8aa635752,0x3fe3e3b73920f64c,1 +np.float64,0x3fe5597c336ab2f8,0x3fe9c7bc4b765b15,1 +np.float64,0x3fe1004ac5e20096,0x3fe2f12116e99821,1 +np.float64,0x3fecbc67477978ce,0x3ff76377434dbdad,1 +np.float64,0x3fe0e64515e1cc8a,0x3fe2ccf5447c1579,1 +np.float64,0x3febcfa874f79f50,0x3ff54528f0822144,1 +np.float64,0x3fc36915ed26d228,0x3fc38fb5b28d3f72,1 +np.float64,0xbfe01213e5e02428,0xbfe1ac0e1e7418f1,1 +np.float64,0x3fcd97875b3b2f10,0x3fce22fe3fc98702,1 +np.float64,0xbfe30383c5e60708,0xbfe5e427e62cc957,1 +np.float64,0xbfde339bf9bc6738,0xbfe0667f337924f5,1 +np.float64,0xbfda7c1c49b4f838,0xbfdc2c8801ce654a,1 +np.float64,0x3fb6b3489e2d6690,0x3fb6c29650387b92,1 +np.float64,0xbfe1fd4d76e3fa9b,0xbfe45a1f60077678,1 +np.float64,0xbf67c5e0402f8c00,0xbf67c5e49fce115a,1 +np.float64,0xbfd4f9aa2da9f354,0xbfd5c759603d0b9b,1 +np.float64,0x3fe83c227bf07844,0x3fefada9f1bd7fa9,1 +np.float64,0xbf97f717982fee20,0xbf97f836701a8cd5,1 +np.float64,0x3fe9688a2472d114,0x3ff150aa575e7d51,1 +np.float64,0xbfc5a9779d2b52f0,0xbfc5df56509c48b1,1 +np.float64,0xbfe958d5f472b1ac,0xbff13b813f9bee20,1 +np.float64,0xbfd7b3b944af6772,0xbfd8e276c2b2920f,1 +np.float64,0x3fed10198e7a2034,0x3ff8469c817572f0,1 +np.float64,0xbfeeecc4517dd989,0xc000472b1f858be3,1 +np.float64,0xbfdbcce47eb799c8,0xbfddc734aa67812b,1 +np.float64,0xbfd013ee24a027dc,0xbfd06df3089384ca,1 +np.float64,0xbfd215f2bfa42be6,0xbfd29774ffe26a74,1 +np.float64,0x3fdfd0ae67bfa15c,0x3fe1746e3a963a9f,1 +np.float64,0xbfc84aa10b309544,0xbfc896f0d25b723a,1 +np.float64,0xbfcd0c627d3a18c4,0xbfcd9024c73747a9,1 +np.float64,0x3fd87df6dbb0fbec,0x3fd9ce1dde757f31,1 +np.float64,0xbfdad85e05b5b0bc,0xbfdc9c2addb6ce47,1 +np.float64,0xbfee4f8977fc9f13,0xbffcdccd68e514b3,1 +np.float64,0x3fa5c290542b8520,0x3fa5c5ebdf09ca70,1 +np.float64,0xbfd7e401d2afc804,0xbfd91a7e4eb5a026,1 +np.float64,0xbfe33ff73b667fee,0xbfe6423cc6eb07d7,1 +np.float64,0x3fdfb7d6c4bf6fac,0x3fe163f2e8175177,1 +np.float64,0xbfd515d69eaa2bae,0xbfd5e6eedd6a1598,1 +np.float64,0x3fb322232e264440,0x3fb32b49d91c3cbe,1 +np.float64,0xbfe20ac39e641587,0xbfe46dd4b3803f19,1 +np.float64,0x3fe282dc18e505b8,0x3fe520152120c297,1 +np.float64,0xbfc905a4cd320b48,0xbfc95929b74865fb,1 +np.float64,0x3fe0ae3b83615c78,0x3fe27fa1dafc825b,1 +np.float64,0xbfc1bfed0f237fdc,0xbfc1dd6466225cdf,1 +np.float64,0xbfeca4d47d7949a9,0xbff72761a34fb682,1 +np.float64,0xbfe8cf8c48f19f18,0xbff0897ebc003626,1 +np.float64,0xbfe1aaf0a36355e2,0xbfe3e2ae7b17a286,1 +np.float64,0x3fe2ca442e659488,0x3fe58c3a2fb4f14a,1 +np.float64,0xbfda3c2deeb4785c,0xbfdbdf89fe96a243,1 +np.float64,0xbfdc12bfecb82580,0xbfde1d81dea3c221,1 +np.float64,0xbfe2d6d877e5adb1,0xbfe59f73e22c1fc7,1 +np.float64,0x3fe5f930636bf260,0x3feaee96a462e4de,1 +np.float64,0x3fcf3c0ea53e7820,0x3fcfe0b0f92be7e9,1 +np.float64,0xbfa5bb90f42b7720,0xbfa5bee9424004cc,1 +np.float64,0xbfe2fb3a3265f674,0xbfe5d75b988bb279,1 +np.float64,0x3fcaec7aab35d8f8,0x3fcb54ea582fff6f,1 +np.float64,0xbfd8d3228db1a646,0xbfda322297747fbc,1 +np.float64,0x3fedd2e0ad7ba5c2,0x3ffac6002b65c424,1 +np.float64,0xbfd9edeca2b3dbda,0xbfdb81b2b7785e33,1 +np.float64,0xbfef5febb17ebfd7,0xc002796b15950960,1 +np.float64,0x3fde22f787bc45f0,0x3fe05bcc624b9ba2,1 +np.float64,0xbfc716a4ab2e2d48,0xbfc758073839dd44,1 +np.float64,0xbf9bed852837db00,0xbf9bef4b2a3f3bdc,1 +np.float64,0x3fef8f88507f1f10,0x4003e5e566444571,1 +np.float64,0xbfdc1bbed6b8377e,0xbfde28a64e174e60,1 +np.float64,0x3fe02d30eae05a62,0x3fe1d064ec027cd3,1 +np.float64,0x3fd9dbb500b3b76c,0x3fdb6bea40162279,1 +np.float64,0x3fe353ff1d66a7fe,0x3fe661b3358c925e,1 +np.float64,0x3fac3ebfb4387d80,0x3fac4618effff2b0,1 +np.float64,0x3fe63cf0ba6c79e2,0x3feb7030cff5f434,1 +np.float64,0x3fd0e915f8a1d22c,0x3fd152464597b510,1 +np.float64,0xbfd36987cda6d310,0xbfd40af049d7621e,1 +np.float64,0xbfdc5b4dc7b8b69c,0xbfde7790a35da2bc,1 +np.float64,0x3feee7ff4a7dcffe,0x40003545989e07c7,1 +np.float64,0xbfeb2c8308765906,0xbff40d2e6469249e,1 +np.float64,0x3fe535a894ea6b52,0x3fe98781648550d0,1 +np.float64,0xbfef168eb9fe2d1d,0xc000f274ed3cd312,1 +np.float64,0x3fc3e2d98927c5b0,0x3fc40c6991b8900c,1 +np.float64,0xbfcd8fe3e73b1fc8,0xbfce1aec7f9b7f7d,1 +np.float64,0xbfd55d8c3aaabb18,0xbfd6378132ee4892,1 +np.float64,0xbfe424a66168494d,0xbfe7b289d72c98b3,1 +np.float64,0x3fd81af13eb035e4,0x3fd95a6a9696ab45,1 +np.float64,0xbfe3016722e602ce,0xbfe5e0e46db228cd,1 +np.float64,0x3fe9a20beff34418,0x3ff19faca17fc468,1 +np.float64,0xbfe2124bc7e42498,0xbfe478e19927e723,1 +np.float64,0x3fd96f8622b2df0c,0x3fdaeb08da6b08ae,1 +np.float64,0x3fecd6796579acf2,0x3ff7a7d02159e181,1 +np.float64,0x3fe60015df6c002c,0x3feafba6f2682a61,1 +np.float64,0x3fc7181cf72e3038,0x3fc7598c2cc3c3b4,1 +np.float64,0xbfce6e2e0b3cdc5c,0xbfcf0621b3e37115,1 +np.float64,0xbfe52a829e6a5505,0xbfe973a785980af9,1 +np.float64,0x3fed4bbac37a9776,0x3ff8f7a0e68a2bbe,1 +np.float64,0x3fabdfaacc37bf60,0x3fabe6bab42bd246,1 +np.float64,0xbfcd9598cb3b2b30,0xbfce20f3c4c2c261,1 +np.float64,0x3fd717d859ae2fb0,0x3fd82e88eca09ab1,1 +np.float64,0x3fe28ccb18e51996,0x3fe52f071d2694fd,1 +np.float64,0xbfe43f064ae87e0c,0xbfe7de5eab36b5b9,1 +np.float64,0x7fefffffffffffff,0xfff8000000000000,1 +np.float64,0xbfb39b045a273608,0xbfb3a4dd3395fdd5,1 +np.float64,0xbfb3358bae266b18,0xbfb33ece5e95970a,1 +np.float64,0xbfeeafb6717d5f6d,0xbffeec3f9695b575,1 +np.float64,0xbfe7a321afef4644,0xbfee522dd80f41f4,1 +np.float64,0x3fe3a17e5be742fc,0x3fe6dcd32af51e92,1 +np.float64,0xbfc61694bd2c2d28,0xbfc64fbbd835f6e7,1 +np.float64,0xbfd795906faf2b20,0xbfd8bf89b370655c,1 +np.float64,0xbfe4b39b59e96736,0xbfe8a3c5c645b6e3,1 +np.float64,0x3fd310af3ba62160,0x3fd3a9442e825e1c,1 +np.float64,0xbfd45198a6a8a332,0xbfd50bc10311a0a3,1 +np.float64,0x3fd0017eaaa002fc,0x3fd05a472a837999,1 +np.float64,0xbfea974d98752e9b,0xbff30f67f1835183,1 +np.float64,0xbf978f60582f1ec0,0xbf979070e1c2b59d,1 +np.float64,0x3fe1c715d4e38e2c,0x3fe40b479e1241a2,1 +np.float64,0xbfccb965cd3972cc,0xbfcd38b40c4a352d,1 +np.float64,0xbfd9897048b312e0,0xbfdb09d55624c2a3,1 +np.float64,0x3fe7f5de4befebbc,0x3fef0b56be259f9c,1 +np.float64,0x3fcc6c6d4338d8d8,0x3fcce7b20ed68a78,1 +np.float64,0xbfe63884046c7108,0xbfeb67a3b945c3ee,1 +np.float64,0xbfce64e2ad3cc9c4,0xbfcefc47fae2e81f,1 +np.float64,0x3fefeb57b27fd6b0,0x400ab2eac6321cfb,1 +np.float64,0x3fe679627e6cf2c4,0x3febe6451b6ee0c4,1 +np.float64,0x3fc5f710172bee20,0x3fc62f40f85cb040,1 +np.float64,0x3fc34975e52692e8,0x3fc36f58588c7fa2,1 +np.float64,0x3fe8a3784cf146f0,0x3ff052ced9bb9406,1 +np.float64,0x3fd11a607ca234c0,0x3fd1874f876233fe,1 +np.float64,0x3fb2d653f625aca0,0x3fb2df0f4c9633f3,1 +np.float64,0x3fe555f39eeaabe8,0x3fe9c15ee962a28c,1 +np.float64,0xbfea297e3bf452fc,0xbff264107117f709,1 +np.float64,0x3fe1581cdde2b03a,0x3fe36c79acedf99c,1 +np.float64,0x3fd4567063a8ace0,0x3fd51123dbd9106f,1 +np.float64,0x3fa3883aec271080,0x3fa38aa86ec71218,1 +np.float64,0x3fe40e5d7de81cba,0x3fe78dbb9b568850,1 +np.float64,0xbfe9a2f7347345ee,0xbff1a0f4faa05041,1 +np.float64,0x3f9eef03a83dde00,0x3f9ef16caa0c1478,1 +np.float64,0xbfcb4641d1368c84,0xbfcbb2e7ff8c266d,1 +np.float64,0xbfa8403b2c308070,0xbfa844e148b735b7,1 +np.float64,0xbfe1875cd6e30eba,0xbfe3afadc08369f5,1 +np.float64,0xbfdd3c3d26ba787a,0xbfdf919b3e296766,1 +np.float64,0x3fcd6c4c853ad898,0x3fcdf55647b518b8,1 +np.float64,0xbfe360a173e6c143,0xbfe6759eb3a08cf2,1 +np.float64,0x3fe5a13147eb4262,0x3fea4a5a060f5adb,1 +np.float64,0x3feb3cdd7af679ba,0x3ff42aae0cf61234,1 +np.float64,0x3fe5205128ea40a2,0x3fe9618f3d0c54af,1 +np.float64,0x3fce35343f3c6a68,0x3fcec9c4e612b050,1 +np.float64,0xbfc345724d268ae4,0xbfc36b3ce6338e6a,1 +np.float64,0x3fedc4fc0e7b89f8,0x3ffa91c1d775c1f7,1 +np.float64,0x3fe41fbf21683f7e,0x3fe7aa6c174a0e65,1 +np.float64,0xbfc7a1a5d32f434c,0xbfc7e7d27a4c5241,1 +np.float64,0x3fd3e33eaca7c67c,0x3fd4915264441e2f,1 +np.float64,0x3feb3f02f6f67e06,0x3ff42e942249e596,1 +np.float64,0x3fdb75fcb0b6ebf8,0x3fdd5c63f98b6275,1 +np.float64,0x3fd6476603ac8ecc,0x3fd74020b164cf38,1 +np.float64,0x3fed535372faa6a6,0x3ff90f3791821841,1 +np.float64,0x3fe8648ead70c91e,0x3ff006a62befd7ed,1 +np.float64,0x3fd0f90760a1f210,0x3fd1636b39bb1525,1 +np.float64,0xbfca052443340a48,0xbfca633d6e777ae0,1 +np.float64,0xbfa6a5e3342d4bc0,0xbfa6a9ac6a488f5f,1 +np.float64,0x3fd5598038aab300,0x3fd632f35c0c3d52,1 +np.float64,0xbfdf66218fbecc44,0xbfe12df83b19f300,1 +np.float64,0x3fe78e15b56f1c2c,0x3fee240d12489cd1,1 +np.float64,0x3fe3d6a7b3e7ad50,0x3fe7329dcf7401e2,1 +np.float64,0xbfddb8e97bbb71d2,0xbfe017ed6d55a673,1 +np.float64,0xbfd57afd55aaf5fa,0xbfd658a9607c3370,1 +np.float64,0xbfdba4c9abb74994,0xbfdd95d69e5e8814,1 +np.float64,0xbfe71d8090ee3b01,0xbfed3390be6d2eef,1 +np.float64,0xbfc738ac0f2e7158,0xbfc77b3553b7c026,1 +np.float64,0x3f873656302e6c80,0x3f873697556ae011,1 +np.float64,0x3fe559491d6ab292,0x3fe9c7603b12c608,1 +np.float64,0xbfe262776864c4ef,0xbfe4ef905dda8599,1 +np.float64,0x3fe59d8917eb3b12,0x3fea439f44b7573f,1 +np.float64,0xbfd4b5afb5a96b60,0xbfd57b4e3df4dbc8,1 +np.float64,0x3fe81158447022b0,0x3fef4a3cea3eb6a9,1 +np.float64,0xbfeb023441f60468,0xbff3c27f0fc1a4dc,1 +np.float64,0x3fefb212eaff6426,0x40055fc6d949cf44,1 +np.float64,0xbfe1300ac1e26016,0xbfe333f297a1260e,1 +np.float64,0xbfeae0a2f575c146,0xbff388d58c380b8c,1 +np.float64,0xbfeddd8e55fbbb1d,0xbffaef045b2e21d9,1 +np.float64,0x3fec7c6c1d78f8d8,0x3ff6c3ebb019a8e5,1 +np.float64,0xbfe27e071f64fc0e,0xbfe518d2ff630f33,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0x3fc5872abf2b0e58,0x3fc5bc083105db76,1 +np.float64,0x3fe65114baeca22a,0x3feb9745b82ef15a,1 +np.float64,0xbfc783abe52f0758,0xbfc7c8cb23f93e79,1 +np.float64,0x3fe4b7a5dd696f4c,0x3fe8aab9d492f0ca,1 +np.float64,0xbf91a8e8a82351e0,0xbf91a95b6ae806f1,1 +np.float64,0xbfee482eb77c905d,0xbffcb952830e715a,1 +np.float64,0x3fba0eee2a341de0,0x3fba261d495e3a1b,1 +np.float64,0xbfeb8876ae7710ed,0xbff4b7f7f4343506,1 +np.float64,0xbfe4d29e46e9a53c,0xbfe8d9547a601ba7,1 +np.float64,0xbfe12413b8e24828,0xbfe3232656541d10,1 +np.float64,0x3fc0bd8f61217b20,0x3fc0d63f937f0aa4,1 +np.float64,0xbfd3debafda7bd76,0xbfd48c534e5329e4,1 +np.float64,0x3fc0f92de921f258,0x3fc112eb7d47349b,1 +np.float64,0xbfe576b95f6aed72,0xbfe9fca859239b3c,1 +np.float64,0x3fd10e520da21ca4,0x3fd17a546e4152f7,1 +np.float64,0x3fcef917eb3df230,0x3fcf998677a8fa8f,1 +np.float64,0x3fdfcf863abf9f0c,0x3fe173a98af1cb13,1 +np.float64,0x3fc28c4b4f251898,0x3fc2adf43792e917,1 +np.float64,0x3fceb837ad3d7070,0x3fcf54a63b7d8c5c,1 +np.float64,0x3fc0140a05202818,0x3fc029e4f75330cb,1 +np.float64,0xbfd76c3362aed866,0xbfd88fb9e790b4e8,1 +np.float64,0xbfe475300868ea60,0xbfe8395334623e1f,1 +np.float64,0x3fea70b9b4f4e174,0x3ff2d1dad92173ba,1 +np.float64,0xbfe2edbd4965db7a,0xbfe5c29449a9365d,1 +np.float64,0xbfddf86f66bbf0de,0xbfe0408439cada9b,1 +np.float64,0xbfb443cdfa288798,0xbfb44eae796ad3ea,1 +np.float64,0xbf96a8a0482d5140,0xbf96a992b6ef073b,1 +np.float64,0xbfd279db2fa4f3b6,0xbfd3043db6acbd9e,1 +np.float64,0x3fe5d99088ebb322,0x3feab30be14e1605,1 +np.float64,0xbfe1a917abe35230,0xbfe3e0063d0f5f63,1 +np.float64,0x3fc77272f52ee4e8,0x3fc7b6f8ab6f4591,1 +np.float64,0x3fd6b62146ad6c44,0x3fd7be77eef8390a,1 +np.float64,0xbfe39fd9bc673fb4,0xbfe6da30dc4eadde,1 +np.float64,0x3fe35545c066aa8c,0x3fe663b5873e4d4b,1 +np.float64,0xbfcbbeffb3377e00,0xbfcc317edf7f6992,1 +np.float64,0xbfe28a58366514b0,0xbfe52b5734579ffa,1 +np.float64,0xbfbf0c87023e1910,0xbfbf33d970a0dfa5,1 +np.float64,0xbfd31144cba6228a,0xbfd3a9e84f9168f9,1 +np.float64,0xbfe5c044056b8088,0xbfea83d607c1a88a,1 +np.float64,0x3fdaabdf18b557c0,0x3fdc663ee8eddc83,1 +np.float64,0xbfeb883006f71060,0xbff4b76feff615be,1 +np.float64,0xbfebaef41d775de8,0xbff5034111440754,1 +np.float64,0x3fd9b6eb3bb36dd8,0x3fdb3fff5071dacf,1 +np.float64,0x3fe4e33c45e9c678,0x3fe8f637779ddedf,1 +np.float64,0x3fe52213a06a4428,0x3fe964adeff5c14e,1 +np.float64,0x3fe799254cef324a,0x3fee3c3ecfd3cdc5,1 +np.float64,0x3fd0533f35a0a680,0x3fd0b19a003469d3,1 +np.float64,0x3fec7ef5c7f8fdec,0x3ff6ca0abe055048,1 +np.float64,0xbfd1b5da82a36bb6,0xbfd22f357acbee79,1 +np.float64,0xbfd8f9c652b1f38c,0xbfda5faacbce9cf9,1 +np.float64,0x3fc8fc818b31f900,0x3fc94fa9a6aa53c8,1 +np.float64,0x3fcf42cc613e8598,0x3fcfe7dc128f33f2,1 +np.float64,0x3fd393a995a72754,0x3fd4396127b19305,1 +np.float64,0x3fec7b7df9f8f6fc,0x3ff6c1ae51753ef2,1 +np.float64,0x3fc07f175b20fe30,0x3fc096b55c11568c,1 +np.float64,0xbf979170082f22e0,0xbf979280d9555f44,1 +np.float64,0xbfb9d110c633a220,0xbfb9e79ba19b3c4a,1 +np.float64,0x3fedcd7d417b9afa,0x3ffab19734e86d58,1 +np.float64,0xbfec116f27f822de,0xbff5cf9425cb415b,1 +np.float64,0xbfec4fa0bef89f42,0xbff65a771982c920,1 +np.float64,0x3f94d4452829a880,0x3f94d501789ad11c,1 +np.float64,0xbfefe5ede27fcbdc,0xc009c440d3c2a4ce,1 +np.float64,0xbfe7e5f7b5efcbf0,0xbfeee74449aee1db,1 +np.float64,0xbfeb71dc8976e3b9,0xbff48cd84ea54ed2,1 +np.float64,0xbfe4cdb65f699b6c,0xbfe8d0d3bce901ef,1 +np.float64,0x3fb78ef1ee2f1de0,0x3fb7a00e7d183c48,1 +np.float64,0x3fb681864a2d0310,0x3fb6906fe64b4cd7,1 +np.float64,0xbfd2ad3b31a55a76,0xbfd33c57b5985399,1 +np.float64,0x3fdcdaaa95b9b554,0x3fdf16b99628db1e,1 +np.float64,0x3fa4780b7428f020,0x3fa47ad6ce9b8081,1 +np.float64,0x3fc546b0ad2a8d60,0x3fc579b361b3b18f,1 +np.float64,0x3feaf98dd6f5f31c,0x3ff3b38189c3539c,1 +np.float64,0x3feb0b2eca76165e,0x3ff3d22797083f9a,1 +np.float64,0xbfdc02ae3ab8055c,0xbfde099ecb5dbacf,1 +np.float64,0x3fd248bf17a49180,0x3fd2ceb77b346d1d,1 +np.float64,0x3fe349d666e693ac,0x3fe651b9933a8853,1 +np.float64,0xbfca526fc534a4e0,0xbfcab3e83f0d9b93,1 +np.float64,0x3fc156421722ac88,0x3fc171b38826563b,1 +np.float64,0xbfe4244569e8488b,0xbfe7b1e93e7d4f92,1 +np.float64,0x3fe010faabe021f6,0x3fe1aa961338886d,1 +np.float64,0xbfc52dacb72a5b58,0xbfc55ffa50eba380,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0x3fea1d4865f43a90,0x3ff251b839eb4817,1 +np.float64,0xbfa0f65c8421ecc0,0xbfa0f7f37c91be01,1 +np.float64,0x3fcab29c0b356538,0x3fcb1863edbee184,1 +np.float64,0x3fe7949162ef2922,0x3fee323821958b88,1 +np.float64,0x3fdaf9288ab5f250,0x3fdcc400190a4839,1 +np.float64,0xbfe13ece6be27d9d,0xbfe348ba07553179,1 +np.float64,0x3f8a0c4fd0341880,0x3f8a0cabdf710185,1 +np.float64,0x3fdd0442a2ba0884,0x3fdf4b016c4da452,1 +np.float64,0xbfaf06d2343e0da0,0xbfaf1090b1600422,1 +np.float64,0xbfd3b65225a76ca4,0xbfd45fa49ae76cca,1 +np.float64,0x3fef5d75fefebaec,0x400269a5e7c11891,1 +np.float64,0xbfe048e35ce091c6,0xbfe1f5af45dd64f8,1 +np.float64,0xbfe27d4599e4fa8b,0xbfe517b07843d04c,1 +np.float64,0xbfe6f2a637ede54c,0xbfecdaa730462576,1 +np.float64,0x3fc63fbb752c7f78,0x3fc67a2854974109,1 +np.float64,0x3fedda6bfbfbb4d8,0x3ffae2e6131f3475,1 +np.float64,0x3fe7a6f5286f4dea,0x3fee5a9b1ef46016,1 +np.float64,0xbfd4ea8bcea9d518,0xbfd5b66ab7e5cf00,1 +np.float64,0x3fdc116568b822cc,0x3fde1bd4d0d9fd6c,1 +np.float64,0x3fdc45cb1bb88b98,0x3fde5cd1d2751032,1 +np.float64,0x3feabd932f757b26,0x3ff34e06e56a62a1,1 +np.float64,0xbfae5dbe0c3cbb80,0xbfae66e062ac0d65,1 +np.float64,0xbfdb385a00b670b4,0xbfdd10fedf3a58a7,1 +np.float64,0xbfebb14755f7628f,0xbff507e123a2b47c,1 +np.float64,0x3fe6de2fdfedbc60,0x3fecb0ae6e131da2,1 +np.float64,0xbfd86de640b0dbcc,0xbfd9bb4dbf0bf6af,1 +np.float64,0x3fe39e86d9e73d0e,0x3fe6d811c858d5d9,1 +np.float64,0x7ff0000000000000,0xfff8000000000000,1 +np.float64,0x3fa8101684302020,0x3fa814a12176e937,1 +np.float64,0x3fefdd5ad37fbab6,0x4008a08c0b76fbb5,1 +np.float64,0x3fe645c727ec8b8e,0x3feb814ebc470940,1 +np.float64,0x3fe3ba79dce774f4,0x3fe70500db564cb6,1 +np.float64,0xbfe0e5a254e1cb44,0xbfe2cc13940c6d9a,1 +np.float64,0x3fe2cac62465958c,0x3fe58d008c5e31f8,1 +np.float64,0xbfd3ffb531a7ff6a,0xbfd4b0d88cff2040,1 +np.float64,0x3fe0929104612522,0x3fe259bc42dce788,1 +np.float64,0x1,0x1,1 +np.float64,0xbfe7db77e6efb6f0,0xbfeecf93e8a61cb3,1 +np.float64,0xbfe37e9559e6fd2a,0xbfe6a514e29cb7aa,1 +np.float64,0xbfc53a843f2a7508,0xbfc56d2e9ad8b716,1 +np.float64,0xbfedb04485fb6089,0xbffa4615d4334ec3,1 +np.float64,0xbfc44349b1288694,0xbfc46f484b6f1cd6,1 +np.float64,0xbfe265188264ca31,0xbfe4f37d61cd9e17,1 +np.float64,0xbfd030351da0606a,0xbfd08c2537287ee1,1 +np.float64,0x3fd8fb131db1f628,0x3fda613363ca601e,1 +np.float64,0xbff0000000000000,0xfff0000000000000,1 +np.float64,0xbfe48d9a60691b35,0xbfe862c02d8fec1e,1 +np.float64,0x3fd185e050a30bc0,0x3fd1fb4c614ddb07,1 +np.float64,0xbfe4a5807e694b01,0xbfe88b8ff2d6caa7,1 +np.float64,0xbfc934d7ad3269b0,0xbfc98a405d25a666,1 +np.float64,0xbfea0e3c62741c79,0xbff23b4bd3a7b15d,1 +np.float64,0x3fe7244071ee4880,0x3fed41b27ba6bb22,1 +np.float64,0xbfd419f81ba833f0,0xbfd4cdf71b4533a3,1 +np.float64,0xbfe1e73a34e3ce74,0xbfe439eb15fa6baf,1 +np.float64,0x3fcdd9a63f3bb350,0x3fce68e1c401eff0,1 +np.float64,0x3fd1b5960ba36b2c,0x3fd22eeb566f1976,1 +np.float64,0x3fe9ad18e0735a32,0x3ff1af23c534260d,1 +np.float64,0xbfd537918aaa6f24,0xbfd60ccc8df0962b,1 +np.float64,0x3fcba3d3c73747a8,0x3fcc14fd5e5c49ad,1 +np.float64,0x3fd367e3c0a6cfc8,0x3fd40921b14e288e,1 +np.float64,0x3fe94303c6f28608,0x3ff11e62db2db6ac,1 +np.float64,0xbfcc5f77fd38bef0,0xbfccda110c087519,1 +np.float64,0xbfd63b74d7ac76ea,0xbfd7328af9f37402,1 +np.float64,0xbfe5321289ea6425,0xbfe9811ce96609ad,1 +np.float64,0xbfde910879bd2210,0xbfe0a2cd0ed1d368,1 +np.float64,0xbfcc9d9bad393b38,0xbfcd1b722a0b1371,1 +np.float64,0xbfe6dd39e16dba74,0xbfecaeb7c8c069f6,1 +np.float64,0xbfe98316eff3062e,0xbff174d7347d48bf,1 +np.float64,0xbfda88f8d1b511f2,0xbfdc3c0e75dad903,1 +np.float64,0x3fd400d8c2a801b0,0x3fd4b21bacff1f5d,1 +np.float64,0xbfe1ed335863da66,0xbfe4429e45e99779,1 +np.float64,0xbf3423a200284800,0xbf3423a20acb0342,1 +np.float64,0xbfe97bc59672f78b,0xbff16ad1adc44a33,1 +np.float64,0xbfeeca60d7fd94c2,0xbfff98d7f18f7728,1 +np.float64,0x3fd1eb13b2a3d628,0x3fd268e6ff4d56ce,1 +np.float64,0xbfa5594c242ab2a0,0xbfa55c77d6740a39,1 +np.float64,0x3fe72662006e4cc4,0x3fed462a9dedbfee,1 +np.float64,0x3fef4bb221fe9764,0x4001fe4f4cdfedb2,1 +np.float64,0xbfe938d417f271a8,0xbff110e78724ca2b,1 +np.float64,0xbfcc29ab2f385358,0xbfcca182140ef541,1 +np.float64,0x3fe18cd42c6319a8,0x3fe3b77e018165e7,1 +np.float64,0xbfec6c5cae78d8b9,0xbff69d8e01309b48,1 +np.float64,0xbfd5723da7aae47c,0xbfd64ecde17da471,1 +np.float64,0xbfe3096722e612ce,0xbfe5ed43634f37ff,1 +np.float64,0xbfdacaceb1b5959e,0xbfdc8bb826bbed39,1 +np.float64,0x3fc59a57cb2b34b0,0x3fc5cfc4a7c9bac8,1 +np.float64,0x3f84adce10295b80,0x3f84adfc1f1f6e97,1 +np.float64,0x3fdd5b28bbbab650,0x3fdfb8b906d77df4,1 +np.float64,0x3fdebf94c6bd7f28,0x3fe0c10188e1bc7c,1 +np.float64,0x3fdb30c612b6618c,0x3fdd07bf18597821,1 +np.float64,0x3fe7eeb3176fdd66,0x3feefb0be694b855,1 +np.float64,0x0,0x0,1 +np.float64,0xbfe10057e9e200b0,0xbfe2f13365e5b1c9,1 +np.float64,0xbfeb61a82376c350,0xbff46e665d3a60f5,1 +np.float64,0xbfe7f54aec6fea96,0xbfef0a0759f726dc,1 +np.float64,0xbfe4f6da3de9edb4,0xbfe9187d85bd1ab5,1 +np.float64,0xbfeb8be1b3f717c4,0xbff4be8efaab2e75,1 +np.float64,0x3fed40bc31fa8178,0x3ff8d5ec4a7f3e9b,1 +np.float64,0xbfe40f8711681f0e,0xbfe78fa5c62b191b,1 +np.float64,0x3fd1034d94a2069c,0x3fd16e78e9efb85b,1 +np.float64,0x3fc74db15b2e9b60,0x3fc790f26e894098,1 +np.float64,0x3fd912a88cb22550,0x3fda7d0ab3b21308,1 +np.float64,0x3fd8948a3bb12914,0x3fd9e8950c7874c8,1 +np.float64,0xbfa7ada5242f5b50,0xbfa7b1f8db50c104,1 +np.float64,0x3feeb2e1c27d65c4,0x3fff000b7d09c9b7,1 +np.float64,0x3fe9d46cbbf3a8da,0x3ff1e6f405265a6e,1 +np.float64,0xbfe2480b77e49017,0xbfe4c83b9b37bf0c,1 +np.float64,0x3fe950ea9372a1d6,0x3ff130e62468bf2c,1 +np.float64,0x3fefa7272a7f4e4e,0x4004d8c9bf31ab58,1 +np.float64,0xbfe7309209ee6124,0xbfed5b94acef917a,1 +np.float64,0x3fd05e8c64a0bd18,0x3fd0bdb11e0903c6,1 +np.float64,0x3fd9236043b246c0,0x3fda90ccbe4bab1e,1 +np.float64,0xbfdc3d6805b87ad0,0xbfde5266e17154c3,1 +np.float64,0x3fe5e6bad76bcd76,0x3feacbc306c63445,1 +np.float64,0x3ff0000000000000,0x7ff0000000000000,1 +np.float64,0xbfde3d7390bc7ae8,0xbfe06cd480bd0196,1 +np.float64,0xbfd3e2e3c0a7c5c8,0xbfd490edc0a45e26,1 +np.float64,0x3fe39871d76730e4,0x3fe6ce54d1719953,1 +np.float64,0x3fdff00ebcbfe01c,0x3fe1894b6655a6d0,1 +np.float64,0x3f91b7ad58236f40,0x3f91b8213bcb8b0b,1 +np.float64,0xbfd99f48f7b33e92,0xbfdb23d544f62591,1 +np.float64,0x3fae3512cc3c6a20,0x3fae3e10939fd7b5,1 +np.float64,0x3fcc4cf3db3899e8,0x3fccc698a15176d6,1 +np.float64,0xbfd0927e39a124fc,0xbfd0f5522e2bc030,1 +np.float64,0x3fcee859633dd0b0,0x3fcf87bdef7a1e82,1 +np.float64,0xbfe2a8b69565516d,0xbfe5593437b6659a,1 +np.float64,0x3fecf61e20f9ec3c,0x3ff7fda16b0209d4,1 +np.float64,0xbfbf37571e3e6eb0,0xbfbf5f4e1379a64c,1 +np.float64,0xbfd54e1b75aa9c36,0xbfd626223b68971a,1 +np.float64,0x3fe1035a56e206b4,0x3fe2f5651ca0f4b0,1 +np.float64,0x3fe4992989e93254,0x3fe876751afa70dc,1 +np.float64,0x3fc8c313d3318628,0x3fc913faf15d1562,1 +np.float64,0x3f99f6ba8833ed80,0x3f99f8274fb94828,1 +np.float64,0xbfd4a58af0a94b16,0xbfd56947c276e04f,1 +np.float64,0x3fc66f8c872cdf18,0x3fc6ab7a14372a73,1 +np.float64,0x3fc41eee0d283de0,0x3fc449ff1ff0e7a6,1 +np.float64,0x3fefd04d287fa09a,0x4007585010cfa9b0,1 +np.float64,0x3fce9e746f3d3ce8,0x3fcf39514bbe5070,1 +np.float64,0xbfe8056f72700adf,0xbfef2ee2c13e67ba,1 +np.float64,0x3fdd6b1ec0bad63c,0x3fdfccf2ba144fa8,1 +np.float64,0x3fd92ee432b25dc8,0x3fda9e6b96b2b142,1 +np.float64,0xbfc4d18f9529a320,0xbfc50150fb4de0cc,1 +np.float64,0xbfe09939a7613274,0xbfe262d703c317af,1 +np.float64,0xbfd130b132a26162,0xbfd19f5a00ae29c4,1 +np.float64,0x3fa06e21d420dc40,0x3fa06f93aba415fb,1 +np.float64,0x3fc5c48fbd2b8920,0x3fc5fb3bfad3bf55,1 +np.float64,0xbfdfa2bacbbf4576,0xbfe155f839825308,1 +np.float64,0x3fe3e1fa0f67c3f4,0x3fe745081dd4fd03,1 +np.float64,0x3fdae58289b5cb04,0x3fdcac1f6789130a,1 +np.float64,0xbf8ed3ba103da780,0xbf8ed452a9cc1442,1 +np.float64,0xbfec06b46f780d69,0xbff5b86f30d70908,1 +np.float64,0xbfe990c13b732182,0xbff187a90ae611f8,1 +np.float64,0xbfdd46c738ba8d8e,0xbfdf9eee0a113230,1 +np.float64,0x3fe08b83f3611708,0x3fe2501b1c77035c,1 +np.float64,0xbfd501b65baa036c,0xbfd5d05de3fceac8,1 +np.float64,0xbfcf4fa21f3e9f44,0xbfcff5829582c0b6,1 +np.float64,0xbfefbc0bfbff7818,0xc005eca1a2c56b38,1 +np.float64,0xbfe1ba6959e374d2,0xbfe3f8f88d128ce5,1 +np.float64,0xbfd4e74ee3a9ce9e,0xbfd5b2cabeb45e6c,1 +np.float64,0xbfe77c38eaeef872,0xbfedfd332d6f1c75,1 +np.float64,0x3fa9b5e4fc336bc0,0x3fa9bb6f6b80b4af,1 +np.float64,0xbfecba63917974c7,0xbff75e44df7f8e81,1 +np.float64,0x3fd6cf17b2ad9e30,0x3fd7db0b93b7f2b5,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cbrt.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cbrt.csv new file mode 100644 index 0000000000000000000000000000000000000000..ad141cb4f5a297e69f3437014087f3c2aea28147 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cbrt.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0x3ee7054c,0x3f4459ea,2 +np.float32,0x7d1e2489,0x54095925,2 +np.float32,0x7ee5edf5,0x549b992b,2 +np.float32,0x380607,0x2a425e72,2 +np.float32,0x34a8f3,0x2a3e6603,2 +np.float32,0x3eee2844,0x3f465a45,2 +np.float32,0x59e49c,0x2a638d0a,2 +np.float32,0xbf72c77a,0xbf7b83d4,2 +np.float32,0x7f2517b4,0x54af8bf0,2 +np.float32,0x80068a69,0xa9bdfe8b,2 +np.float32,0xbe8e3578,0xbf270775,2 +np.float32,0xbe4224dc,0xbf131119,2 +np.float32,0xbe0053b8,0xbf001be2,2 +np.float32,0x70e8d,0x29c2ddc5,2 +np.float32,0xff63f7b5,0xd4c37b7f,2 +np.float32,0x3f00bbed,0x3f4b9335,2 +np.float32,0x3f135f4e,0x3f54f5d4,2 +np.float32,0xbe13a488,0xbf063d13,2 +np.float32,0x3f14ec78,0x3f55b478,2 +np.float32,0x7ec35cfb,0x54935fbf,2 +np.float32,0x7d41c589,0x5412f904,2 +np.float32,0x3ef8a16e,0x3f4937f7,2 +np.float32,0x3f5d8464,0x3f73f279,2 +np.float32,0xbeec85ac,0xbf45e5cb,2 +np.float32,0x7f11f722,0x54a87cb1,2 +np.float32,0x8032c085,0xaa3c1219,2 +np.float32,0x80544bac,0xaa5eb9f2,2 +np.float32,0x3e944a10,0x3f296065,2 +np.float32,0xbf29fe50,0xbf5f5796,2 +np.float32,0x7e204d8d,0x545b03d5,2 +np.float32,0xfe1d0254,0xd4598127,2 +np.float32,0x80523129,0xaa5cdba9,2 +np.float32,0x806315fa,0xaa6b0eaf,2 +np.float32,0x3ed3d2a4,0x3f3ec117,2 +np.float32,0x7ee15007,0x549a8cc0,2 +np.float32,0x801ffb5e,0xaa213d4f,2 +np.float32,0x807f9f4a,0xaa7fbf76,2 +np.float32,0xbe45e854,0xbf1402d3,2 +np.float32,0x3d9e2e70,0x3eda0b64,2 +np.float32,0x51f404,0x2a5ca4d7,2 +np.float32,0xbe26a8b0,0xbf0bc54d,2 +np.float32,0x22c99a,0x2a25d2a7,2 +np.float32,0xbf71248b,0xbf7af2d5,2 +np.float32,0x7219fe,0x2a76608e,2 +np.float32,0x7f16fd7d,0x54aa6610,2 +np.float32,0x80716faa,0xaa75e5b9,2 +np.float32,0xbe24f9a4,0xbf0b4c65,2 +np.float32,0x800000,0x2a800000,2 +np.float32,0x80747456,0xaa780f27,2 +np.float32,0x68f9e8,0x2a6fa035,2 +np.float32,0x3f6a297e,0x3f7880d8,2 +np.float32,0x3f28b973,0x3f5ec8f6,2 +np.float32,0x7f58c577,0x54c03a70,2 +np.float32,0x804befcc,0xaa571b4f,2 +np.float32,0x3e2be027,0x3f0d36cf,2 +np.float32,0xfe7e80a4,0xd47f7ff7,2 +np.float32,0xfe9d444a,0xd489181b,2 +np.float32,0x3db3e790,0x3ee399d6,2 +np.float32,0xbf154c3e,0xbf55e23e,2 +np.float32,0x3d1096b7,0x3ea7f4aa,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0x804e2521,0xaa592c06,2 +np.float32,0xbeda2f00,0xbf40a513,2 +np.float32,0x3f191788,0x3f57ae30,2 +np.float32,0x3ed24ade,0x3f3e4b34,2 +np.float32,0x807fadb4,0xaa7fc917,2 +np.float32,0xbe0a06dc,0xbf034234,2 +np.float32,0x3f250bba,0x3f5d276d,2 +np.float32,0x7e948b00,0x548682c8,2 +np.float32,0xfe65ecdc,0xd476fed2,2 +np.float32,0x6fdbdd,0x2a74c095,2 +np.float32,0x800112de,0xa9500fa6,2 +np.float32,0xfe63225c,0xd475fdee,2 +np.float32,0x7f3d9acd,0x54b7d648,2 +np.float32,0xfc46f480,0xd3bacf87,2 +np.float32,0xfe5deaac,0xd47417ff,2 +np.float32,0x60ce53,0x2a693d93,2 +np.float32,0x6a6e2f,0x2a70ba2c,2 +np.float32,0x7f43f0f1,0x54b9dcd0,2 +np.float32,0xbf6170c9,0xbf756104,2 +np.float32,0xbe5c9f74,0xbf197852,2 +np.float32,0xff1502b0,0xd4a9a693,2 +np.float32,0x8064f6af,0xaa6c886e,2 +np.float32,0xbf380564,0xbf6552e5,2 +np.float32,0xfeb9b7dc,0xd490e85f,2 +np.float32,0x7f34f941,0x54b5010d,2 +np.float32,0xbe9d4ca0,0xbf2cbd5f,2 +np.float32,0x3f6e43d2,0x3f79f240,2 +np.float32,0xbdad0530,0xbee0a8f2,2 +np.float32,0x3da18459,0x3edb9105,2 +np.float32,0xfd968340,0xd42a3808,2 +np.float32,0x3ea03e64,0x3f2dcf96,2 +np.float32,0x801d2f5b,0xaa1c6525,2 +np.float32,0xbf47d92d,0xbf6bb7e9,2 +np.float32,0x55a6b9,0x2a5fe9fb,2 +np.float32,0x77a7c2,0x2a7a4fb8,2 +np.float32,0xfebbc16e,0xd4916f88,2 +np.float32,0x3f5d3d6e,0x3f73d86a,2 +np.float32,0xfccd2b60,0xd3edcacb,2 +np.float32,0xbd026460,0xbea244b0,2 +np.float32,0x3e55bd,0x2a4968e4,2 +np.float32,0xbe7b5708,0xbf20490d,2 +np.float32,0xfe413cf4,0xd469171f,2 +np.float32,0x7710e3,0x2a79e657,2 +np.float32,0xfc932520,0xd3d4d9ca,2 +np.float32,0xbf764a1b,0xbf7cb8aa,2 +np.float32,0x6b1923,0x2a713aca,2 +np.float32,0xfe4dcd04,0xd46e092d,2 +np.float32,0xff3085ac,0xd4b381f8,2 +np.float32,0x3f72c438,0x3f7b82b4,2 +np.float32,0xbf6f0c6e,0xbf7a3852,2 +np.float32,0x801d2b1b,0xaa1c5d8d,2 +np.float32,0x3e9db91e,0x3f2ce50d,2 +np.float32,0x3f684f9d,0x3f77d8c5,2 +np.float32,0x7dc784,0x2a7e82cc,2 +np.float32,0x7d2c88e9,0x540d64f8,2 +np.float32,0x807fb708,0xaa7fcf51,2 +np.float32,0x8003c49a,0xa99e16e0,2 +np.float32,0x3ee4f5b8,0x3f43c3ff,2 +np.float32,0xfe992c5e,0xd487e4ec,2 +np.float32,0x4b4dfa,0x2a568216,2 +np.float32,0x3d374c80,0x3eb5c6a8,2 +np.float32,0xbd3a4700,0xbeb6c15c,2 +np.float32,0xbf13cb80,0xbf5529e5,2 +np.float32,0xbe7306d4,0xbf1e7f91,2 +np.float32,0xbf800000,0xbf800000,2 +np.float32,0xbea42efe,0xbf2f394e,2 +np.float32,0x3e1981d0,0x3f07fe2c,2 +np.float32,0x3f17ea1d,0x3f572047,2 +np.float32,0x7dc1e0,0x2a7e7efe,2 +np.float32,0x80169c08,0xaa0fa320,2 +np.float32,0x3f3e1972,0x3f67d248,2 +np.float32,0xfe5d3c88,0xd473d815,2 +np.float32,0xbf677448,0xbf778aac,2 +np.float32,0x7e799b7d,0x547dd9e4,2 +np.float32,0x3f00bb2c,0x3f4b92cf,2 +np.float32,0xbeb29f9c,0xbf343798,2 +np.float32,0xbd6b7830,0xbec59a86,2 +np.float32,0x807a524a,0xaa7c282a,2 +np.float32,0xbe0a7a04,0xbf0366ab,2 +np.float32,0x80237470,0xaa26e061,2 +np.float32,0x3ccbc0f6,0x3e95744f,2 +np.float32,0x3edec6bc,0x3f41fcb6,2 +np.float32,0x3f635198,0x3f760efa,2 +np.float32,0x800eca4f,0xa9f960d8,2 +np.float32,0x3f800000,0x3f800000,2 +np.float32,0xff4eeb9e,0xd4bd456a,2 +np.float32,0x56f4e,0x29b29e70,2 +np.float32,0xff5383a0,0xd4bea95c,2 +np.float32,0x3f4c3a77,0x3f6d6d94,2 +np.float32,0x3f6c324a,0x3f79388c,2 +np.float32,0xbebdc092,0xbf37e27c,2 +np.float32,0xff258956,0xd4afb42e,2 +np.float32,0xdc78c,0x29f39012,2 +np.float32,0xbf2db06a,0xbf60f2f5,2 +np.float32,0xbe3c5808,0xbf119660,2 +np.float32,0xbf1ba866,0xbf58e0f4,2 +np.float32,0x80377640,0xaa41b79d,2 +np.float32,0x4fdc4d,0x2a5abfea,2 +np.float32,0x7f5e7560,0x54c1e516,2 +np.float32,0xfeb4d3f2,0xd48f9fde,2 +np.float32,0x3f12a622,0x3f549c7d,2 +np.float32,0x7f737ed7,0x54c7d2dc,2 +np.float32,0xa0ddc,0x29db456d,2 +np.float32,0xfe006740,0xd44b6689,2 +np.float32,0x3f17dfd4,0x3f571b6c,2 +np.float32,0x67546e,0x2a6e5dd1,2 +np.float32,0xff0d0f11,0xd4a693e2,2 +np.float32,0xbd170090,0xbeaa6738,2 +np.float32,0x5274a0,0x2a5d1806,2 +np.float32,0x3e154fe0,0x3f06be1a,2 +np.float32,0x7ddb302e,0x5440f0a7,2 +np.float32,0x3f579d10,0x3f71c2af,2 +np.float32,0xff2bc5bb,0xd4b1e20c,2 +np.float32,0xfee8fa6a,0xd49c4872,2 +np.float32,0xbea551b0,0xbf2fa07b,2 +np.float32,0xfeabc75c,0xd48d3004,2 +np.float32,0x7f50a5a8,0x54bdcbd1,2 +np.float32,0x50354b,0x2a5b110d,2 +np.float32,0x7d139f13,0x54063b6b,2 +np.float32,0xbeee1b08,0xbf465699,2 +np.float32,0xfe5e1650,0xd47427fe,2 +np.float32,0x7f7fffff,0x54cb2ff5,2 +np.float32,0xbf52ede8,0xbf6fff35,2 +np.float32,0x804bba81,0xaa56e8f1,2 +np.float32,0x6609e2,0x2a6d5e94,2 +np.float32,0x692621,0x2a6fc1d6,2 +np.float32,0xbf288bb6,0xbf5eb4d3,2 +np.float32,0x804f28c4,0xaa5a1b82,2 +np.float32,0xbdaad2a8,0xbedfb46e,2 +np.float32,0x5e04f8,0x2a66fb13,2 +np.float32,0x804c10da,0xaa573a81,2 +np.float32,0xbe412764,0xbf12d0fd,2 +np.float32,0x801c35cc,0xaa1aa250,2 +np.float32,0x6364d4,0x2a6b4cf9,2 +np.float32,0xbf6d3cea,0xbf79962f,2 +np.float32,0x7e5a9935,0x5472defb,2 +np.float32,0xbe73a38c,0xbf1ea19c,2 +np.float32,0xbd35e950,0xbeb550f2,2 +np.float32,0x46cc16,0x2a5223d6,2 +np.float32,0x3f005288,0x3f4b5b97,2 +np.float32,0x8034e8b7,0xaa3eb2be,2 +np.float32,0xbea775fc,0xbf3061cf,2 +np.float32,0xea0e9,0x29f87751,2 +np.float32,0xbf38faaf,0xbf65b89d,2 +np.float32,0xbedf3184,0xbf421bb0,2 +np.float32,0xbe04250c,0xbf015def,2 +np.float32,0x7f56dae8,0x54bfa901,2 +np.float32,0xfebe3e04,0xd492132e,2 +np.float32,0x3e4dc326,0x3f15f19e,2 +np.float32,0x803da197,0xaa48a621,2 +np.float32,0x7eeb35aa,0x549cc7c6,2 +np.float32,0xfebb3eb6,0xd4914dc0,2 +np.float32,0xfed17478,0xd496d5e2,2 +np.float32,0x80243694,0xaa280ed2,2 +np.float32,0x8017e666,0xaa1251d3,2 +np.float32,0xbf07e942,0xbf4f4a3e,2 +np.float32,0xbf578fa6,0xbf71bdab,2 +np.float32,0x7ed8d80f,0x549896b6,2 +np.float32,0x3f2277ae,0x3f5bff11,2 +np.float32,0x7e6f195b,0x547a3cd4,2 +np.float32,0xbf441559,0xbf6a3a91,2 +np.float32,0x7f1fb427,0x54ad9d8d,2 +np.float32,0x71695f,0x2a75e12d,2 +np.float32,0xbd859588,0xbece19a1,2 +np.float32,0x7f5702fc,0x54bfb4eb,2 +np.float32,0x3f040008,0x3f4d4842,2 +np.float32,0x3de00ca5,0x3ef4df89,2 +np.float32,0x3eeabb03,0x3f45658c,2 +np.float32,0x3dfe5e65,0x3eff7480,2 +np.float32,0x1,0x26a14518,2 +np.float32,0x8065e400,0xaa6d4130,2 +np.float32,0xff50e1bb,0xd4bdde07,2 +np.float32,0xbe88635a,0xbf24b7e9,2 +np.float32,0x3f46bfab,0x3f6b4908,2 +np.float32,0xbd85c3c8,0xbece3168,2 +np.float32,0xbe633f64,0xbf1afdb1,2 +np.float32,0xff2c7706,0xd4b21f2a,2 +np.float32,0xbf02816c,0xbf4c812a,2 +np.float32,0x80653aeb,0xaa6cbdab,2 +np.float32,0x3eef1d10,0x3f469e24,2 +np.float32,0x3d9944bf,0x3ed7c36a,2 +np.float32,0x1b03d4,0x2a186b2b,2 +np.float32,0x3f251b7c,0x3f5d2e76,2 +np.float32,0x3edebab0,0x3f41f937,2 +np.float32,0xfefc2148,0xd4a073ff,2 +np.float32,0x7448ee,0x2a77f051,2 +np.float32,0x3bb8a400,0x3e3637ee,2 +np.float32,0x57df36,0x2a61d527,2 +np.float32,0xfd8b9098,0xd425fccb,2 +np.float32,0x7f67627e,0x54c4744d,2 +np.float32,0x801165d7,0xaa039fba,2 +np.float32,0x53aae5,0x2a5e2bfd,2 +np.float32,0x8014012b,0xaa09e4f1,2 +np.float32,0x3f7a2d53,0x3f7e0b4b,2 +np.float32,0x3f5fb700,0x3f74c052,2 +np.float32,0x7f192a06,0x54ab366c,2 +np.float32,0x3f569611,0x3f71603b,2 +np.float32,0x25e2dc,0x2a2a9b65,2 +np.float32,0x8036465e,0xaa405342,2 +np.float32,0x804118e1,0xaa4c5785,2 +np.float32,0xbef08d3e,0xbf4703e1,2 +np.float32,0x3447e2,0x2a3df0be,2 +np.float32,0xbf2a350b,0xbf5f6f8c,2 +np.float32,0xbec87e3e,0xbf3b4a73,2 +np.float32,0xbe99a4a8,0xbf2b6412,2 +np.float32,0x2ea2ae,0x2a36d77e,2 +np.float32,0xfcb69600,0xd3e4b9e3,2 +np.float32,0x717700,0x2a75eb06,2 +np.float32,0xbf4e81ce,0xbf6e4ecc,2 +np.float32,0xbe2021ac,0xbf09ebee,2 +np.float32,0xfef94eee,0xd49fda31,2 +np.float32,0x8563e,0x29ce0015,2 +np.float32,0x7f5d0ca5,0x54c17c0f,2 +np.float32,0x3f16459a,0x3f56590f,2 +np.float32,0xbe12f7bc,0xbf0608a0,2 +np.float32,0x3f10fd3d,0x3f53ce5f,2 +np.float32,0x3ca5e1b0,0x3e8b8d96,2 +np.float32,0xbe5288e0,0xbf17181f,2 +np.float32,0xbf7360f6,0xbf7bb8c9,2 +np.float32,0x7e989d33,0x5487ba88,2 +np.float32,0x3ea7b5dc,0x3f307839,2 +np.float32,0x7e8da0c9,0x548463f0,2 +np.float32,0xfeaf7888,0xd48e3122,2 +np.float32,0x7d90402d,0x5427d321,2 +np.float32,0x72e309,0x2a76f0ee,2 +np.float32,0xbe1faa34,0xbf09c998,2 +np.float32,0xbf2b1652,0xbf5fd1f4,2 +np.float32,0x8051eb0c,0xaa5c9cca,2 +np.float32,0x7edf02bf,0x549a058e,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0x3f67f873,0x3f77b9c1,2 +np.float32,0x3f276b63,0x3f5e358c,2 +np.float32,0x7eeb4bf2,0x549cccb9,2 +np.float32,0x3bfa2c,0x2a46d675,2 +np.float32,0x3e133c50,0x3f061d75,2 +np.float32,0x3ca302c0,0x3e8abe4a,2 +np.float32,0x802e152e,0xaa361dd5,2 +np.float32,0x3f504810,0x3f6efd0a,2 +np.float32,0xbf43e0b5,0xbf6a2599,2 +np.float32,0x80800000,0xaa800000,2 +np.float32,0x3f1c0980,0x3f590e03,2 +np.float32,0xbf0084f6,0xbf4b7638,2 +np.float32,0xfee72d32,0xd49be10d,2 +np.float32,0x3f3c00ed,0x3f66f763,2 +np.float32,0x80511e81,0xaa5be492,2 +np.float32,0xfdd1b8a0,0xd43e1f0d,2 +np.float32,0x7d877474,0x54245785,2 +np.float32,0x7f110bfe,0x54a82207,2 +np.float32,0xff800000,0xff800000,2 +np.float32,0x6b6a2,0x29bfa706,2 +np.float32,0xbf5bdfd9,0xbf7357b7,2 +np.float32,0x8025bfa3,0xaa2a6676,2 +np.float32,0x3a3581,0x2a44dd3a,2 +np.float32,0x542c2a,0x2a5e9e2f,2 +np.float32,0xbe1d5650,0xbf091d57,2 +np.float32,0x3e97760d,0x3f2a935e,2 +np.float32,0x7f5dcde2,0x54c1b460,2 +np.float32,0x800bde1e,0xa9e7bbaf,2 +np.float32,0x3e6b9e61,0x3f1cdf07,2 +np.float32,0x7d46c003,0x54143884,2 +np.float32,0x80073fbb,0xa9c49e67,2 +np.float32,0x503c23,0x2a5b1748,2 +np.float32,0x7eb7b070,0x549060c8,2 +np.float32,0xe9d8f,0x29f86456,2 +np.float32,0xbeedd4f0,0xbf464320,2 +np.float32,0x3f40d5d6,0x3f68eda1,2 +np.float32,0xff201f28,0xd4adc44b,2 +np.float32,0xbdf61e98,0xbefca9c7,2 +np.float32,0x3e8a0dc9,0x3f2562e3,2 +np.float32,0xbc0c0c80,0xbe515f61,2 +np.float32,0x2b3c15,0x2a3248e3,2 +np.float32,0x42a7bb,0x2a4df592,2 +np.float32,0x7f337947,0x54b480af,2 +np.float32,0xfec21db4,0xd4930f4b,2 +np.float32,0x7f4fdbf3,0x54bd8e94,2 +np.float32,0x1e2253,0x2a1e1286,2 +np.float32,0x800c4c80,0xa9ea819e,2 +np.float32,0x7e96f5b7,0x54873c88,2 +np.float32,0x7ce4e131,0x53f69ed4,2 +np.float32,0xbead8372,0xbf327b63,2 +np.float32,0x3e15ca7e,0x3f06e2f3,2 +np.float32,0xbf63e17b,0xbf7642da,2 +np.float32,0xff5bdbdb,0xd4c122f9,2 +np.float32,0x3f44411e,0x3f6a4bfd,2 +np.float32,0xfd007da0,0xd40029d2,2 +np.float32,0xbe940168,0xbf2944b7,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0x3d28e356,0x3eb0e1b8,2 +np.float32,0x3eb9fcd8,0x3f36a918,2 +np.float32,0x4f6410,0x2a5a51eb,2 +np.float32,0xbdf18e30,0xbefb1775,2 +np.float32,0x32edbd,0x2a3c49e3,2 +np.float32,0x801f70a5,0xaa2052da,2 +np.float32,0x8045a045,0xaa50f98c,2 +np.float32,0xbdd6cb00,0xbef17412,2 +np.float32,0x3f118f2c,0x3f541557,2 +np.float32,0xbe65c378,0xbf1b8f95,2 +np.float32,0xfd9a9060,0xd42bbb8b,2 +np.float32,0x3f04244f,0x3f4d5b0f,2 +np.float32,0xff05214b,0xd4a3656f,2 +np.float32,0xfe342cd0,0xd463b706,2 +np.float32,0x3f3409a8,0x3f63a836,2 +np.float32,0x80205db2,0xaa21e1e5,2 +np.float32,0xbf37c982,0xbf653a03,2 +np.float32,0x3f36ce8f,0x3f64d17e,2 +np.float32,0x36ffda,0x2a412d61,2 +np.float32,0xff569752,0xd4bf94e6,2 +np.float32,0x802fdb0f,0xaa386c3a,2 +np.float32,0x7ec55a87,0x5493df71,2 +np.float32,0x7f2234c7,0x54ae847e,2 +np.float32,0xbf02df76,0xbf4cb23d,2 +np.float32,0x3d68731a,0x3ec4c156,2 +np.float32,0x8146,0x2921cd8e,2 +np.float32,0x80119364,0xaa041235,2 +np.float32,0xfe6c1c00,0xd47930b5,2 +np.float32,0x8070da44,0xaa757996,2 +np.float32,0xfefbf50c,0xd4a06a9d,2 +np.float32,0xbf01b6a8,0xbf4c170a,2 +np.float32,0x110702,0x2a02aedb,2 +np.float32,0xbf063cd4,0xbf4e6f87,2 +np.float32,0x3f1ff178,0x3f5ad9dd,2 +np.float32,0xbf76dcd4,0xbf7cead0,2 +np.float32,0x80527281,0xaa5d1620,2 +np.float32,0xfea96df8,0xd48c8a7f,2 +np.float32,0x68db02,0x2a6f88b0,2 +np.float32,0x62d971,0x2a6adec7,2 +np.float32,0x3e816fe0,0x3f21df04,2 +np.float32,0x3f586379,0x3f720cc0,2 +np.float32,0x804a3718,0xaa5577ff,2 +np.float32,0x2e2506,0x2a3632b2,2 +np.float32,0x3f297d,0x2a4a4bf3,2 +np.float32,0xbe37aba8,0xbf105f88,2 +np.float32,0xbf18b264,0xbf577ea7,2 +np.float32,0x7f50d02d,0x54bdd8b5,2 +np.float32,0xfee296dc,0xd49ad757,2 +np.float32,0x7ec5137e,0x5493cdb1,2 +np.float32,0x3f4811f4,0x3f6bce3a,2 +np.float32,0xfdff32a0,0xd44af991,2 +np.float32,0x3f6ef140,0x3f7a2ed6,2 +np.float32,0x250838,0x2a2950b5,2 +np.float32,0x25c28e,0x2a2a6ada,2 +np.float32,0xbe875e50,0xbf244e90,2 +np.float32,0x3e3bdff8,0x3f11776a,2 +np.float32,0x3e9fe493,0x3f2daf17,2 +np.float32,0x804d8599,0xaa5897d9,2 +np.float32,0x3f0533da,0x3f4de759,2 +np.float32,0xbe63023c,0xbf1aefc8,2 +np.float32,0x80636e5e,0xaa6b547f,2 +np.float32,0xff112958,0xd4a82d5d,2 +np.float32,0x3e924112,0x3f28991f,2 +np.float32,0xbe996ffc,0xbf2b507a,2 +np.float32,0x802a7cda,0xaa314081,2 +np.float32,0x8022b524,0xaa25b21e,2 +np.float32,0x3f0808c8,0x3f4f5a43,2 +np.float32,0xbef0ec2a,0xbf471e0b,2 +np.float32,0xff4c2345,0xd4bc6b3c,2 +np.float32,0x25ccc8,0x2a2a7a3b,2 +np.float32,0x7f4467d6,0x54ba0260,2 +np.float32,0x7f506539,0x54bdb846,2 +np.float32,0x412ab4,0x2a4c6a2a,2 +np.float32,0x80672c4a,0xaa6e3ef0,2 +np.float32,0xbddfb7f8,0xbef4c0ac,2 +np.float32,0xbf250bb9,0xbf5d276c,2 +np.float32,0x807dca65,0xaa7e84bd,2 +np.float32,0xbf63b8e0,0xbf763438,2 +np.float32,0xbeed1b0c,0xbf460f6b,2 +np.float32,0x8021594f,0xaa238136,2 +np.float32,0xbebc74c8,0xbf377710,2 +np.float32,0x3e9f8e3b,0x3f2d8fce,2 +np.float32,0x7f50ca09,0x54bdd6d8,2 +np.float32,0x805797c1,0xaa6197df,2 +np.float32,0x3de198f9,0x3ef56f98,2 +np.float32,0xf154d,0x29fb0392,2 +np.float32,0xff7fffff,0xd4cb2ff5,2 +np.float32,0xfed22fa8,0xd49702c4,2 +np.float32,0xbf733736,0xbf7baa64,2 +np.float32,0xbf206a8a,0xbf5b1108,2 +np.float32,0xbca49680,0xbe8b3078,2 +np.float32,0xfecba794,0xd4956e1a,2 +np.float32,0x80126582,0xaa061886,2 +np.float32,0xfee5cc82,0xd49b919f,2 +np.float32,0xbf7ad6ae,0xbf7e4491,2 +np.float32,0x7ea88c81,0x548c4c0c,2 +np.float32,0xbf493a0d,0xbf6c4255,2 +np.float32,0xbf06dda0,0xbf4ec1d4,2 +np.float32,0xff3f6e84,0xd4b86cf6,2 +np.float32,0x3e4fe093,0x3f1674b0,2 +np.float32,0x8048ad60,0xaa53fbde,2 +np.float32,0x7ebb7112,0x54915ac5,2 +np.float32,0x5bd191,0x2a652a0d,2 +np.float32,0xfe3121d0,0xd4626cfb,2 +np.float32,0x7e4421c6,0x546a3f83,2 +np.float32,0x19975b,0x2a15b14f,2 +np.float32,0x801c8087,0xaa1b2a64,2 +np.float32,0xfdf6e950,0xd448c0f6,2 +np.float32,0x74e711,0x2a786083,2 +np.float32,0xbf2b2f2e,0xbf5fdccb,2 +np.float32,0x7ed19ece,0x5496e00b,2 +np.float32,0x7f6f8322,0x54c6ba63,2 +np.float32,0x3e90316d,0x3f27cd69,2 +np.float32,0x7ecb42ce,0x54955571,2 +np.float32,0x3f6d49be,0x3f799aaf,2 +np.float32,0x8053d327,0xaa5e4f9a,2 +np.float32,0x7ebd7361,0x5491df3e,2 +np.float32,0xfdb6eed0,0xd435a7aa,2 +np.float32,0x7f3e79f4,0x54b81e4b,2 +np.float32,0xfe83afa6,0xd4813794,2 +np.float32,0x37c443,0x2a421246,2 +np.float32,0xff075a10,0xd4a44cd8,2 +np.float32,0x3ebc5fe0,0x3f377047,2 +np.float32,0x739694,0x2a77714e,2 +np.float32,0xfe832946,0xd4810b91,2 +np.float32,0x7f2638e6,0x54aff235,2 +np.float32,0xfe87f7a6,0xd4829a3f,2 +np.float32,0x3f50f3f8,0x3f6f3eb8,2 +np.float32,0x3eafa3d0,0x3f333548,2 +np.float32,0xbec26ee6,0xbf39626f,2 +np.float32,0x7e6f924f,0x547a66ff,2 +np.float32,0x7f0baa46,0x54a606f8,2 +np.float32,0xbf6dfc49,0xbf79d939,2 +np.float32,0x7f005709,0x54a1699d,2 +np.float32,0x7ee3d7ef,0x549b2057,2 +np.float32,0x803709a4,0xaa4138d7,2 +np.float32,0x3f7bf49a,0x3f7ea509,2 +np.float32,0x509db7,0x2a5b6ff5,2 +np.float32,0x7eb1b0d4,0x548ec9ff,2 +np.float32,0x7eb996ec,0x5490dfce,2 +np.float32,0xbf1fcbaa,0xbf5ac89e,2 +np.float32,0x3e2c9a98,0x3f0d69cc,2 +np.float32,0x3ea77994,0x3f306312,2 +np.float32,0x3f3cbfe4,0x3f67457c,2 +np.float32,0x8422a,0x29cd5a30,2 +np.float32,0xbd974558,0xbed6d264,2 +np.float32,0xfecee77a,0xd496387f,2 +np.float32,0x3f51876b,0x3f6f76f1,2 +np.float32,0x3b1a25,0x2a45ddad,2 +np.float32,0xfe9912f0,0xd487dd67,2 +np.float32,0x3f3ab13d,0x3f666d99,2 +np.float32,0xbf35565a,0xbf64341b,2 +np.float32,0x7d4e84aa,0x54162091,2 +np.float32,0x4c2570,0x2a574dea,2 +np.float32,0x7e82dca6,0x5480f26b,2 +np.float32,0x7f5503e7,0x54bf1c8d,2 +np.float32,0xbeb85034,0xbf361c59,2 +np.float32,0x80460a69,0xaa516387,2 +np.float32,0x805fbbab,0xaa68602c,2 +np.float32,0x7d4b4c1b,0x541557b8,2 +np.float32,0xbefa9a0a,0xbf49bfbc,2 +np.float32,0x3dbd233f,0x3ee76e09,2 +np.float32,0x58b6df,0x2a628d50,2 +np.float32,0xfcdcc180,0xd3f3aad9,2 +np.float32,0x423a37,0x2a4d8487,2 +np.float32,0xbed8b32a,0xbf403507,2 +np.float32,0x3f68e85d,0x3f780f0b,2 +np.float32,0x7ee13c4b,0x549a883d,2 +np.float32,0xff2ed4c5,0xd4b2eec1,2 +np.float32,0xbf54dadc,0xbf70b99a,2 +np.float32,0x3f78b0af,0x3f7d8a32,2 +np.float32,0x3f377372,0x3f651635,2 +np.float32,0xfdaa6178,0xd43166bc,2 +np.float32,0x8060c337,0xaa6934a6,2 +np.float32,0x7ec752c2,0x54945cf6,2 +np.float32,0xbd01a760,0xbea1f624,2 +np.float32,0x6f6599,0x2a746a35,2 +np.float32,0x3f6315b0,0x3f75f95b,2 +np.float32,0x7f2baf32,0x54b1da44,2 +np.float32,0x3e400353,0x3f1286d8,2 +np.float32,0x40d3bf,0x2a4c0f15,2 +np.float32,0x7f733aca,0x54c7c03d,2 +np.float32,0x7e5c5407,0x5473828b,2 +np.float32,0x80191703,0xaa14b56a,2 +np.float32,0xbf4fc144,0xbf6ec970,2 +np.float32,0xbf1137a7,0xbf53eacd,2 +np.float32,0x80575410,0xaa615db3,2 +np.float32,0xbd0911d0,0xbea4fe07,2 +np.float32,0x3e98534a,0x3f2ae643,2 +np.float32,0x3f3b089a,0x3f669185,2 +np.float32,0x4fc752,0x2a5aacc1,2 +np.float32,0xbef44ddc,0xbf480b6e,2 +np.float32,0x80464217,0xaa519af4,2 +np.float32,0x80445fae,0xaa4fb6de,2 +np.float32,0x80771cf4,0xaa79eec8,2 +np.float32,0xfd9182e8,0xd4284fed,2 +np.float32,0xff0a5d16,0xd4a58288,2 +np.float32,0x3f33e169,0x3f63973e,2 +np.float32,0x8021a247,0xaa23f820,2 +np.float32,0xbf362522,0xbf648ab8,2 +np.float32,0x3f457cd7,0x3f6ac95e,2 +np.float32,0xbcadf400,0xbe8dc7e2,2 +np.float32,0x80237210,0xaa26dca7,2 +np.float32,0xbf1293c9,0xbf54939f,2 +np.float32,0xbc5e73c0,0xbe744a37,2 +np.float32,0x3c03f980,0x3e4d44df,2 +np.float32,0x7da46f,0x2a7e6b20,2 +np.float32,0x5d4570,0x2a665dd0,2 +np.float32,0x3e93fbac,0x3f294287,2 +np.float32,0x7e6808fd,0x5477bfa4,2 +np.float32,0xff5aa9a6,0xd4c0c925,2 +np.float32,0xbf5206ba,0xbf6fa767,2 +np.float32,0xbf6e513e,0xbf79f6f1,2 +np.float32,0x3ed01c0f,0x3f3da20f,2 +np.float32,0xff47d93d,0xd4bb1704,2 +np.float32,0x7f466cfd,0x54baa514,2 +np.float32,0x665e10,0x2a6d9fc8,2 +np.float32,0x804d0629,0xaa5820e8,2 +np.float32,0x7e0beaa0,0x54514e7e,2 +np.float32,0xbf7fcb6c,0xbf7fee78,2 +np.float32,0x3f6c5b03,0x3f7946dd,2 +np.float32,0x3e941504,0x3f294c30,2 +np.float32,0xbf2749ad,0xbf5e26a1,2 +np.float32,0xfec2a00a,0xd493302d,2 +np.float32,0x3f15a358,0x3f560bce,2 +np.float32,0x3f15c4e7,0x3f561bcd,2 +np.float32,0xfedc8692,0xd499728c,2 +np.float32,0x7e8f6902,0x5484f180,2 +np.float32,0x7f663d62,0x54c42136,2 +np.float32,0x8027ea62,0xaa2d99b4,2 +np.float32,0x3f3d093d,0x3f67636d,2 +np.float32,0x7f118c33,0x54a85382,2 +np.float32,0x803e866a,0xaa499d43,2 +np.float32,0x80053632,0xa9b02407,2 +np.float32,0xbf36dd66,0xbf64d7af,2 +np.float32,0xbf560358,0xbf71292b,2 +np.float32,0x139a8,0x29596bc0,2 +np.float32,0xbe04f75c,0xbf01a26c,2 +np.float32,0xfe1c3268,0xd45920fa,2 +np.float32,0x7ec77f72,0x5494680c,2 +np.float32,0xbedde724,0xbf41bbba,2 +np.float32,0x3e81dbe0,0x3f220bfd,2 +np.float32,0x800373ac,0xa99989d4,2 +np.float32,0x3f7f859a,0x3f7fd72d,2 +np.float32,0x3eb9dc7e,0x3f369e80,2 +np.float32,0xff5f8eb7,0xd4c236b1,2 +np.float32,0xff1c03cb,0xd4ac44ac,2 +np.float32,0x18cfe1,0x2a14285b,2 +np.float32,0x7f21b075,0x54ae54fd,2 +np.float32,0xff490bd8,0xd4bb7680,2 +np.float32,0xbf15dc22,0xbf5626de,2 +np.float32,0xfe1d5a10,0xd459a9a3,2 +np.float32,0x750544,0x2a7875e4,2 +np.float32,0x8023d5df,0xaa2778b3,2 +np.float32,0x3e42aa08,0x3f1332b2,2 +np.float32,0x3ecaa751,0x3f3bf60d,2 +np.float32,0x0,0x0,2 +np.float32,0x80416da6,0xaa4cb011,2 +np.float32,0x3f4ea9ae,0x3f6e5e22,2 +np.float32,0x2113f4,0x2a230f8e,2 +np.float32,0x3f35c2e6,0x3f64619a,2 +np.float32,0xbf50db8a,0xbf6f3564,2 +np.float32,0xff4d5cea,0xd4bccb8a,2 +np.float32,0x7ee54420,0x549b72d2,2 +np.float32,0x64ee68,0x2a6c81f7,2 +np.float32,0x5330da,0x2a5dbfc2,2 +np.float32,0x80047f88,0xa9a7b467,2 +np.float32,0xbda01078,0xbedae800,2 +np.float32,0xfe96d05a,0xd487315f,2 +np.float32,0x8003cc10,0xa99e7ef4,2 +np.float32,0x8007b4ac,0xa9c8aa3d,2 +np.float32,0x5d4bcf,0x2a66630e,2 +np.float32,0xfdd0c0b0,0xd43dd403,2 +np.float32,0xbf7a1d82,0xbf7e05f0,2 +np.float32,0x74ca33,0x2a784c0f,2 +np.float32,0x804f45e5,0xaa5a3640,2 +np.float32,0x7e6d16aa,0x547988c4,2 +np.float32,0x807d5762,0xaa7e3714,2 +np.float32,0xfecf93d0,0xd4966229,2 +np.float32,0xfecbd25c,0xd4957890,2 +np.float32,0xff7db31c,0xd4ca93b0,2 +np.float32,0x3dac9e18,0x3ee07c4a,2 +np.float32,0xbf4b2d28,0xbf6d0509,2 +np.float32,0xbd4f4c50,0xbebd62e0,2 +np.float32,0xbd2eac40,0xbeb2e0ee,2 +np.float32,0x3d01b69b,0x3ea1fc7b,2 +np.float32,0x7ec63902,0x549416ed,2 +np.float32,0xfcc47700,0xd3ea616d,2 +np.float32,0xbf5ddec2,0xbf7413a1,2 +np.float32,0xff6a6110,0xd4c54c52,2 +np.float32,0xfdfae2a0,0xd449d335,2 +np.float32,0x7e54868c,0x547099cd,2 +np.float32,0x802b5b88,0xaa327413,2 +np.float32,0x80440e72,0xaa4f647a,2 +np.float32,0x3e313c94,0x3f0eaad5,2 +np.float32,0x3ebb492a,0x3f3715a2,2 +np.float32,0xbef56286,0xbf4856d5,2 +np.float32,0x3f0154ba,0x3f4be3a0,2 +np.float32,0xff2df86c,0xd4b2a376,2 +np.float32,0x3ef6a850,0x3f48af57,2 +np.float32,0x3d8d33e1,0x3ed1f22d,2 +np.float32,0x4dd9b9,0x2a58e615,2 +np.float32,0x7f1caf83,0x54ac83c9,2 +np.float32,0xbf7286b3,0xbf7b6d73,2 +np.float32,0x80064f88,0xa9bbbd9f,2 +np.float32,0xbf1f55fa,0xbf5a92db,2 +np.float32,0x546a81,0x2a5ed516,2 +np.float32,0xbe912880,0xbf282d0a,2 +np.float32,0x5df587,0x2a66ee6e,2 +np.float32,0x801f706c,0xaa205279,2 +np.float32,0x58cb6d,0x2a629ece,2 +np.float32,0xfe754f8c,0xd47c62da,2 +np.float32,0xbefb6f4c,0xbf49f8e7,2 +np.float32,0x80000001,0xa6a14518,2 +np.float32,0xbf067837,0xbf4e8df4,2 +np.float32,0x3e8e715c,0x3f271ee4,2 +np.float32,0x8009de9b,0xa9d9ebc8,2 +np.float32,0xbf371ff1,0xbf64f36e,2 +np.float32,0x7f5ce661,0x54c170e4,2 +np.float32,0x3f3c47d1,0x3f671467,2 +np.float32,0xfea5e5a6,0xd48b8eb2,2 +np.float32,0xff62b17f,0xd4c31e15,2 +np.float32,0xff315932,0xd4b3c98f,2 +np.float32,0xbf1c3ca8,0xbf5925b9,2 +np.float32,0x7f800000,0x7f800000,2 +np.float32,0xfdf20868,0xd4476c3b,2 +np.float32,0x5b790e,0x2a64e052,2 +np.float32,0x3f5ddf4e,0x3f7413d4,2 +np.float32,0x7f1a3182,0x54ab9861,2 +np.float32,0x3f4b906e,0x3f6d2b9d,2 +np.float32,0x7ebac760,0x54912edb,2 +np.float32,0x7f626d3f,0x54c30a7e,2 +np.float32,0x3e27b058,0x3f0c0edc,2 +np.float32,0x8041e69c,0xaa4d2de8,2 +np.float32,0x3f42cee0,0x3f69b84a,2 +np.float32,0x7ec5fe83,0x5494085b,2 +np.float32,0x9d3e6,0x29d99cde,2 +np.float32,0x3edc50c0,0x3f41452d,2 +np.float32,0xbf2c463a,0xbf60562c,2 +np.float32,0x800bfa33,0xa9e871e8,2 +np.float32,0x7c9f2c,0x2a7dba4d,2 +np.float32,0x7f2ef9fd,0x54b2fb73,2 +np.float32,0x80741847,0xaa77cdb9,2 +np.float32,0x7e9c462a,0x5488ce1b,2 +np.float32,0x3ea47ec1,0x3f2f55a9,2 +np.float32,0x7f311c43,0x54b3b4f5,2 +np.float32,0x3d8f4c73,0x3ed2facd,2 +np.float32,0x806d7bd2,0xaa7301ef,2 +np.float32,0xbf633d24,0xbf760799,2 +np.float32,0xff4f9a3f,0xd4bd7a99,2 +np.float32,0x3f6021ca,0x3f74e73d,2 +np.float32,0x7e447015,0x546a5eac,2 +np.float32,0x6bff3c,0x2a71e711,2 +np.float32,0xe9c9f,0x29f85f06,2 +np.float32,0x8009fe14,0xa9dad277,2 +np.float32,0x807cf79c,0xaa7df644,2 +np.float32,0xff440e1b,0xd4b9e608,2 +np.float32,0xbddf9a50,0xbef4b5db,2 +np.float32,0x7f3b1c39,0x54b706fc,2 +np.float32,0x3c7471a0,0x3e7c16a7,2 +np.float32,0x8065b02b,0xaa6d18ee,2 +np.float32,0x7f63a3b2,0x54c36379,2 +np.float32,0xbe9c9d92,0xbf2c7d33,2 +np.float32,0x3d93aad3,0x3ed51a2e,2 +np.float32,0xbf41b040,0xbf694571,2 +np.float32,0x80396b9e,0xaa43f899,2 +np.float64,0x800fa025695f404b,0xaaa4000ff64bb00c,2 +np.float64,0xbfecc00198f98003,0xbfeee0b623fbd94b,2 +np.float64,0x7f9eeb60b03dd6c0,0x55291bf8554bb303,2 +np.float64,0x3fba74485634e890,0x3fde08710bdb148d,2 +np.float64,0xbfdd9a75193b34ea,0xbfe8bf711660a2f5,2 +np.float64,0xbfcf92e17a3f25c4,0xbfe4119eda6f3773,2 +np.float64,0xbfe359e2ba66b3c6,0xbfeb0f7ae97ea142,2 +np.float64,0x20791a5640f24,0x2a9441f13d262bed,2 +np.float64,0x3fe455fbfae8abf8,0x3feb830d63e1022c,2 +np.float64,0xbd112b7b7a226,0x2aa238c097ec269a,2 +np.float64,0x93349ba126694,0x2aa0c363cd74465a,2 +np.float64,0x20300cd440602,0x2a9432b4f4081209,2 +np.float64,0x3fdcfae677b9f5cc,0x3fe892a9ee56fe8d,2 +np.float64,0xbfefaae3f7bf55c8,0xbfefe388066132c4,2 +np.float64,0x1a7d6eb634faf,0x2a92ed9851d29ab5,2 +np.float64,0x7fd5308d39aa6119,0x553be444e30326c6,2 +np.float64,0xff811c7390223900,0xd5205cb404952fa7,2 +np.float64,0x80083d24aff07a4a,0xaaa0285cf764d898,2 +np.float64,0x800633810ccc6703,0xaa9d65341419586b,2 +np.float64,0x800ff456223fe8ac,0xaaa423bbcc24dff1,2 +np.float64,0x7fde5c99aebcb932,0x553f71be7d6d9daa,2 +np.float64,0x3fed961c4b3b2c39,0x3fef2ca146270cac,2 +np.float64,0x7fe744d30c6e89a5,0x554220a4cdc78e62,2 +np.float64,0x3fd8f527c7b1ea50,0x3fe76101085be1cb,2 +np.float64,0xbfc96a14b232d428,0xbfe2ab1a8962606c,2 +np.float64,0xffe85f540cf0bea7,0xd54268dff964519a,2 +np.float64,0x800e3be0fe7c77c2,0xaaa3634efd7f020b,2 +np.float64,0x3feb90d032f721a0,0x3fee72a4579e8b12,2 +np.float64,0xffe05674aaa0ace9,0xd5401c9e3fb4abcf,2 +np.float64,0x3fefc2e32c3f85c6,0x3fefeb940924bf42,2 +np.float64,0xbfecfd89e9f9fb14,0xbfeef6addf73ee49,2 +np.float64,0xf5862717eb0c5,0x2aa3e1428780382d,2 +np.float64,0xffc3003b32260078,0xd53558f92202dcdb,2 +np.float64,0x3feb4c152c36982a,0x3fee5940f7da0825,2 +np.float64,0x3fe7147b002e28f6,0x3fecb2948f46d1e3,2 +np.float64,0x7fe00ad9b4a015b2,0x5540039d15e1da54,2 +np.float64,0x8010000000000000,0xaaa428a2f98d728b,2 +np.float64,0xbfd3a41bfea74838,0xbfe595ab45b1be91,2 +np.float64,0x7fdbfd6e5537fadc,0x553e9a6e1107b8d0,2 +np.float64,0x800151d9d9a2a3b4,0xaa918cd8fb63f40f,2 +np.float64,0x7fe6828401ad0507,0x5541eda05dcd1fcf,2 +np.float64,0x3fdae1e7a1b5c3d0,0x3fe7f711e72ecc35,2 +np.float64,0x7fdf4936133e926b,0x553fc29c8d5edea3,2 +np.float64,0x80079de12d4f3bc3,0xaa9f7b06a9286da4,2 +np.float64,0x3fe1261cade24c39,0x3fe9fe09488e417a,2 +np.float64,0xbfc20dce21241b9c,0xbfe0a842fb207a28,2 +np.float64,0x3fe3285dfa2650bc,0x3feaf85215f59ef9,2 +np.float64,0x7fe42b93aea85726,0x554148c3c3bb35e3,2 +np.float64,0xffe6c74e7f6d8e9c,0xd541ffd13fa36dbd,2 +np.float64,0x3fe73ea139ee7d42,0x3fecc402242ab7d3,2 +np.float64,0xffbd4b46be3a9690,0xd53392de917c72e4,2 +np.float64,0x800caed8df395db2,0xaaa2a811a02e6be4,2 +np.float64,0x800aacdb6c9559b7,0xaaa19d6fbc8feebf,2 +np.float64,0x839fb4eb073f7,0x2aa0264b98327c12,2 +np.float64,0xffd0157ba9a02af8,0xd5397157a11c0d05,2 +np.float64,0x7fddc8ff173b91fd,0x553f3e7663fb2ac7,2 +np.float64,0x67b365facf66d,0x2a9dd4d838b0d853,2 +np.float64,0xffe12e7fc7225cff,0xd5406272a83a8e1b,2 +np.float64,0x7fea5b19a034b632,0x5542e567658b3e36,2 +np.float64,0x124989d824932,0x2a90ba8dc7a39532,2 +np.float64,0xffe12ef098225de0,0xd54062968450a078,2 +np.float64,0x3fea2f44a3f45e8a,0x3fedee3c461f4716,2 +np.float64,0x3fe6b033e66d6068,0x3fec88c8035e06b1,2 +np.float64,0x3fe928a2ccf25146,0x3fed88d4cde7a700,2 +np.float64,0x3feead27e97d5a50,0x3fef8d7537d82e60,2 +np.float64,0x8003ab80b6875702,0xaa98adfedd7715a9,2 +np.float64,0x45a405828b481,0x2a9a1fa99a4eff1e,2 +np.float64,0x8002ddebad85bbd8,0xaa96babfda4e0031,2 +np.float64,0x3fc278c32824f186,0x3fe0c8e7c979fbd5,2 +np.float64,0x2e10fffc5c221,0x2a96c30a766d06fa,2 +np.float64,0xffd6ba8c2ead7518,0xd53c8d1d92bc2788,2 +np.float64,0xbfeb5ec3a036bd87,0xbfee602bbf0a0d01,2 +np.float64,0x3fed5bd58f7ab7ab,0x3fef181bf591a4a7,2 +np.float64,0x7feb5274a5b6a4e8,0x55431fcf81876218,2 +np.float64,0xaf8fd6cf5f1fb,0x2aa1c6edbb1e2aaf,2 +np.float64,0x7fece718f179ce31,0x55437c74efb90933,2 +np.float64,0xbfa3c42d0c278860,0xbfd5a16407c77e73,2 +np.float64,0x800b5cff0576b9fe,0xaaa1fc4ecb0dec4f,2 +np.float64,0x800be89ae557d136,0xaaa244d115fc0963,2 +np.float64,0x800d2578f5ba4af2,0xaaa2e18a3a3fc134,2 +np.float64,0x80090ff93e321ff3,0xaaa0add578e3cc3c,2 +np.float64,0x28c5a240518c,0x2a81587cccd7e202,2 +np.float64,0x7fec066929780cd1,0x55434971435d1069,2 +np.float64,0x7fc84d4d15309a99,0x55372c204515694f,2 +np.float64,0xffe070a75de0e14e,0xd54025365046dad2,2 +np.float64,0x7fe5b27cc36b64f9,0x5541b5b822f0b6ca,2 +np.float64,0x3fdea35ac8bd46b6,0x3fe9086a0fb792c2,2 +np.float64,0xbfe79996f7af332e,0xbfece9571d37a5b3,2 +np.float64,0xffdfb47f943f6900,0xd53fe6c14c3366db,2 +np.float64,0xc015cf63802ba,0x2aa2517164d075f4,2 +np.float64,0x7feba98948375312,0x5543340b5b1f1181,2 +np.float64,0x8008678e6550cf1d,0xaaa043e7cea90da5,2 +np.float64,0x3fb11b92fa223726,0x3fd9f8b53be4d90b,2 +np.float64,0x7fc9b18cf0336319,0x55379b42da882047,2 +np.float64,0xbfe5043e736a087d,0xbfebd0c67db7a8e3,2 +np.float64,0x7fde88546a3d10a8,0x553f80cfe5bcf5fe,2 +np.float64,0x8006a6c82dcd4d91,0xaa9e171d182ba049,2 +np.float64,0xbfa0f707ac21ee10,0xbfd48e5d3faa1699,2 +np.float64,0xbfe7716bffaee2d8,0xbfecd8e6abfb8964,2 +np.float64,0x9511ccab2a23a,0x2aa0d56d748f0313,2 +np.float64,0x8003ddb9b847bb74,0xaa991ca06fd9d308,2 +np.float64,0x80030710fac60e23,0xaa9725845ac95fe8,2 +np.float64,0xffece5bbaeb9cb76,0xd5437c2670f894f4,2 +np.float64,0x3fd9be5c72b37cb9,0x3fe79f2e932a5708,2 +np.float64,0x1f050cca3e0a3,0x2a93f36499fe5228,2 +np.float64,0x3fd5422becaa8458,0x3fe6295d6150df58,2 +np.float64,0xffd72c050e2e580a,0xd53cbc52d73b495f,2 +np.float64,0xbfe66d5235ecdaa4,0xbfec6ca27e60bf23,2 +np.float64,0x17ac49a42f58a,0x2a923b5b757087a0,2 +np.float64,0xffd39edc40273db8,0xd53b2f7bb99b96bf,2 +np.float64,0x7fde6cf009bcd9df,0x553f77614eb30d75,2 +np.float64,0x80042b4c3fa85699,0xaa99c05fbdd057db,2 +np.float64,0xbfde5547f8bcaa90,0xbfe8f3147d67a940,2 +np.float64,0xbfdd02f9bf3a05f4,0xbfe894f2048aa3fe,2 +np.float64,0xbfa20ec82c241d90,0xbfd4fd02ee55aac7,2 +np.float64,0x8002f670f8c5ece3,0xaa96fad7e53dd479,2 +np.float64,0x80059f24d7eb3e4a,0xaa9c7312dae0d7bc,2 +np.float64,0x7fe6ae7423ad5ce7,0x5541f9430be53062,2 +np.float64,0xe135ea79c26be,0x2aa350d8f8c526e1,2 +np.float64,0x3fec188ce4f8311a,0x3feea44d21c23f68,2 +np.float64,0x800355688286aad2,0xaa97e6ca51eb8357,2 +np.float64,0xa2d6530b45acb,0x2aa15635bbd366e8,2 +np.float64,0x600e0150c01c1,0x2a9d1456ea6c239c,2 +np.float64,0x8009c30863338611,0xaaa118f94b188bcf,2 +np.float64,0x3fe7e4c0dfefc982,0x3fed07e8480b8c07,2 +np.float64,0xbfddac6407bb58c8,0xbfe8c46f63a50225,2 +np.float64,0xbc85e977790bd,0x2aa2344636ed713d,2 +np.float64,0xfff0000000000000,0xfff0000000000000,2 +np.float64,0xffcd1570303a2ae0,0xd5389a27d5148701,2 +np.float64,0xbf937334d026e660,0xbfd113762e4e29a7,2 +np.float64,0x3fdbfdaa9b37fb55,0x3fe84a425fdff7df,2 +np.float64,0xffc10800f5221000,0xd5349535ffe12030,2 +np.float64,0xaf40f3755e81f,0x2aa1c443af16cd27,2 +np.float64,0x800f7da34f7efb47,0xaaa3f14bf25fc89f,2 +np.float64,0xffe4a60125a94c02,0xd5416b764a294128,2 +np.float64,0xbf8e25aa903c4b40,0xbfcf5ebc275b4789,2 +np.float64,0x3fca681bbb34d038,0x3fe2e882bcaee320,2 +np.float64,0xbfd0f3c9c1a1e794,0xbfe48d0df7b47572,2 +np.float64,0xffeb99b49d373368,0xd5433060dc641910,2 +np.float64,0x3fe554fb916aa9f8,0x3febf437cf30bd67,2 +np.float64,0x80079518d0af2a32,0xaa9f6ee87044745a,2 +np.float64,0x5e01a8a0bc036,0x2a9cdf0badf222c3,2 +np.float64,0xbfea9831b3f53064,0xbfee1601ee953ab3,2 +np.float64,0xbfc369d1a826d3a4,0xbfe110b675c311e0,2 +np.float64,0xa82e640d505cd,0x2aa1863d4e523b9c,2 +np.float64,0x3fe506d70a2a0dae,0x3febd1eba3aa83fa,2 +np.float64,0xcbacba7197598,0x2aa2adeb9927f1f2,2 +np.float64,0xc112d6038225b,0x2aa25978f12038b0,2 +np.float64,0xffa7f5f44c2febf0,0xd52d0ede02d4e18b,2 +np.float64,0x8006f218e34de433,0xaa9e870cf373b4eb,2 +np.float64,0xffe6d9a5d06db34b,0xd54204a4adc608c7,2 +np.float64,0x7fe717210eae2e41,0x554214bf3e2b5228,2 +np.float64,0xbfdd4b45cdba968c,0xbfe8a94c7f225f8e,2 +np.float64,0x883356571066b,0x2aa055ab0b2a8833,2 +np.float64,0x3fe307fc02a60ff8,0x3feae9175053288f,2 +np.float64,0x3fefa985f77f530c,0x3fefe31289446615,2 +np.float64,0x8005698a98aad316,0xaa9c17814ff7d630,2 +np.float64,0x3fea77333c74ee66,0x3fee098ba70e10fd,2 +np.float64,0xbfd1d00b0023a016,0xbfe4e497fd1cbea1,2 +np.float64,0x80009b0c39813619,0xaa8b130a6909cc3f,2 +np.float64,0x3fdbeb896fb7d714,0x3fe84502ba5437f8,2 +np.float64,0x3fb6e7e3562dcfc7,0x3fdca00d35c389ad,2 +np.float64,0xb2d46ebf65a8e,0x2aa1e2fe158d0838,2 +np.float64,0xbfd5453266aa8a64,0xbfe62a6a74c8ef6e,2 +np.float64,0x7fe993aa07732753,0x5542b5438bf31cb7,2 +np.float64,0xbfda5a098cb4b414,0xbfe7ce6d4d606203,2 +np.float64,0xbfe40c3ce068187a,0xbfeb61a32c57a6d0,2 +np.float64,0x3fcf17671d3e2ed0,0x3fe3f753170ab686,2 +np.float64,0xbfe4f814b6e9f02a,0xbfebcb67c60b7b08,2 +np.float64,0x800efedf59fdfdbf,0xaaa3ba4ed44ad45a,2 +np.float64,0x800420b556e8416b,0xaa99aa7fb14edeab,2 +np.float64,0xbf6e4ae6403c9600,0xbfc3cb2b29923989,2 +np.float64,0x3fda5c760a34b8ec,0x3fe7cf2821c52391,2 +np.float64,0x7f898faac0331f55,0x5522b44a01408188,2 +np.float64,0x3fd55af4b7aab5e9,0x3fe631f6d19503b3,2 +np.float64,0xbfa30a255c261450,0xbfd55caf0826361d,2 +np.float64,0x7fdfb801343f7001,0x553fe7ee50b9199a,2 +np.float64,0x7fa89ee91c313dd1,0x552d528ca2a4d659,2 +np.float64,0xffea72921d34e524,0xd542eb01af2e470d,2 +np.float64,0x3feddf0f33fbbe1e,0x3fef462b67fc0a91,2 +np.float64,0x3fe36700b566ce01,0x3feb1596caa8eff7,2 +np.float64,0x7fe6284a25ac5093,0x5541d58be3956601,2 +np.float64,0xffda16f7c8b42df0,0xd53de4f722485205,2 +np.float64,0x7f9355b94026ab72,0x552578cdeb41d2ca,2 +np.float64,0xffd3a9b022275360,0xd53b347b02dcea21,2 +np.float64,0x3fcb7f4f4a36fe9f,0x3fe32a40e9f6c1aa,2 +np.float64,0x7fdb958836372b0f,0x553e746103f92111,2 +np.float64,0x3fd37761c0a6eec4,0x3fe5853c5654027e,2 +np.float64,0x3fe449f1a2e893e4,0x3feb7d9e4eacc356,2 +np.float64,0x80077dfbef0efbf9,0xaa9f4ed788d2fadd,2 +np.float64,0x4823aa7890476,0x2a9a6eb4b653bad5,2 +np.float64,0xbfede01a373bc034,0xbfef468895fbcd29,2 +np.float64,0xbfe2bac5f125758c,0xbfeac4811c4dd66f,2 +np.float64,0x3fec10373af8206e,0x3feea14529e0f178,2 +np.float64,0x3fe305e30ca60bc6,0x3feae81a2f9d0302,2 +np.float64,0xa9668c5f52cd2,0x2aa1910e3a8f2113,2 +np.float64,0xbfd98b1717b3162e,0xbfe78f75995335d2,2 +np.float64,0x800fa649c35f4c94,0xaaa402ae79026a8f,2 +np.float64,0xbfb07dacf620fb58,0xbfd9a7d33d93a30f,2 +np.float64,0x80015812f382b027,0xaa91a843e9c85c0e,2 +np.float64,0x3fc687d96c2d0fb3,0x3fe1ef0ac16319c5,2 +np.float64,0xbfecad2ecd795a5e,0xbfeed9f786697af0,2 +np.float64,0x1608c1242c119,0x2a91cd11e9b4ccd2,2 +np.float64,0x6df775e8dbeef,0x2a9e6ba8c71130eb,2 +np.float64,0xffe96e9332b2dd26,0xd542ac342d06299b,2 +np.float64,0x7fecb6a3b8396d46,0x5543718af8162472,2 +np.float64,0x800d379f893a6f3f,0xaaa2ea36bbcb9308,2 +np.float64,0x3f924cdb202499b6,0x3fd0bb90af8d1f79,2 +np.float64,0x0,0x0,2 +np.float64,0x7feaf3b365f5e766,0x5543099a160e2427,2 +np.float64,0x3fea169ed0742d3e,0x3fede4d526e404f8,2 +np.float64,0x7feaf5f2f775ebe5,0x55430a2196c5f35a,2 +np.float64,0xbfc80d4429301a88,0xbfe2541f2ddd3334,2 +np.float64,0xffc75203b32ea408,0xd536db2837068689,2 +np.float64,0xffed2850e63a50a1,0xd5438b1217b72b8a,2 +np.float64,0x7fc16b0e7f22d61c,0x5534bcd0bfddb6f0,2 +np.float64,0x7feee8ed09fdd1d9,0x5543ed5b3ca483ab,2 +np.float64,0x7fb6c7ee662d8fdc,0x5531fffb5d46dafb,2 +np.float64,0x3fd77cebf8aef9d8,0x3fe6e9242e2bd29d,2 +np.float64,0x3f81c33f70238680,0x3fca4c7f3c9848f7,2 +np.float64,0x3fd59fea92ab3fd5,0x3fe649c1558cadd5,2 +np.float64,0xffeba82d4bf7505a,0xd54333bad387f7bd,2 +np.float64,0xffd37630e1a6ec62,0xd53b1ca62818c670,2 +np.float64,0xffec2c1e70b8583c,0xd5435213dcd27c22,2 +np.float64,0x7fec206971f840d2,0x55434f6660a8ae41,2 +np.float64,0x3fed2964adba52c9,0x3fef0642fe72e894,2 +np.float64,0xffd08e30d6211c62,0xd539b060e0ae02da,2 +np.float64,0x3e5f976c7cbf4,0x2a992e6ff991a122,2 +np.float64,0xffe6eee761adddce,0xd5420a393c67182f,2 +np.float64,0xbfe8ec9a31f1d934,0xbfed714426f58147,2 +np.float64,0x7fefffffffffffff,0x554428a2f98d728b,2 +np.float64,0x3fb3ae8b2c275d16,0x3fdb36b81b18a546,2 +np.float64,0x800f73df4dfee7bf,0xaaa3ed1a3e2cf49c,2 +np.float64,0xffd0c8873b21910e,0xd539ce6a3eab5dfd,2 +np.float64,0x3facd6c49439ad80,0x3fd8886f46335df1,2 +np.float64,0x3935859c726b2,0x2a98775f6438dbb1,2 +np.float64,0x7feed879fbfdb0f3,0x5543e9d1ac239469,2 +np.float64,0xbfe84dd990f09bb3,0xbfed323af09543b1,2 +np.float64,0xbfe767cc5a6ecf98,0xbfecd4f39aedbacb,2 +np.float64,0xffd8bd91d5b17b24,0xd53d5eb3734a2609,2 +np.float64,0xbfe13edeb2a27dbe,0xbfea0a856f0b9656,2 +np.float64,0xd933dd53b267c,0x2aa3158784e428c9,2 +np.float64,0xbfef6fef987edfdf,0xbfefcfb1c160462b,2 +np.float64,0x8009eeda4893ddb5,0xaaa13268a41045b1,2 +np.float64,0xab48c7a156919,0x2aa1a1a9c124c87d,2 +np.float64,0xa997931d532f3,0x2aa192bfe5b7bbb4,2 +np.float64,0xffe39ce8b1e739d1,0xd5411fa1c5c2cbd8,2 +np.float64,0x7e7ac2f6fcf59,0x2a9fdf6f263a9e9f,2 +np.float64,0xbfee1e35a6fc3c6b,0xbfef5c25d32b4047,2 +np.float64,0xffe5589c626ab138,0xd5419d220cc9a6da,2 +np.float64,0x7fe12509bf224a12,0x55405f7036dc5932,2 +np.float64,0xa6f15ba94de2c,0x2aa17b3367b1fc1b,2 +np.float64,0x3fca8adbfa3515b8,0x3fe2f0ca775749e5,2 +np.float64,0xbfcb03aa21360754,0xbfe30d5b90ca41f7,2 +np.float64,0x3fefafb2da7f5f66,0x3fefe5251aead4e7,2 +np.float64,0xffd90a59d23214b4,0xd53d7cf63a644f0e,2 +np.float64,0x3fba499988349333,0x3fddf84154fab7e5,2 +np.float64,0x800a76a0bc54ed42,0xaaa17f68cf67f2fa,2 +np.float64,0x3fea33d15bb467a3,0x3fedeff7f445b2ff,2 +np.float64,0x8005d9b0726bb362,0xaa9cd48624afeca9,2 +np.float64,0x7febf42e9a77e85c,0x55434541d8073376,2 +np.float64,0xbfedfc4469bbf889,0xbfef505989f7ee7d,2 +np.float64,0x8001211f1422423f,0xaa90a9889d865349,2 +np.float64,0x800e852f7fdd0a5f,0xaaa3845f11917f8e,2 +np.float64,0xffefd613c87fac27,0xd5441fd17ec669b4,2 +np.float64,0x7fed2a74543a54e8,0x55438b8c637da8b8,2 +np.float64,0xb83d50ff707aa,0x2aa210b4fc11e4b2,2 +np.float64,0x10000000000000,0x2aa428a2f98d728b,2 +np.float64,0x474ad9208e97,0x2a84e5a31530368a,2 +np.float64,0xffd0c5498ea18a94,0xd539ccc0e5cb425e,2 +np.float64,0x8001a8e9c82351d4,0xaa92f1aee6ca5b7c,2 +np.float64,0xd28db1e5a51b6,0x2aa2e328c0788f4a,2 +np.float64,0x3bf734ac77ee7,0x2a98da65c014b761,2 +np.float64,0x3fe56e17c96adc30,0x3febff2b6b829b7a,2 +np.float64,0x7783113eef063,0x2a9f46c3f09eb42c,2 +np.float64,0x3fd69d4e42ad3a9d,0x3fe69f83a21679f4,2 +np.float64,0x3fd34f4841a69e90,0x3fe5766b3c771616,2 +np.float64,0x3febb49895b76931,0x3fee7fcb603416c9,2 +np.float64,0x7fe8d6cb55f1ad96,0x554286c3b3bf4313,2 +np.float64,0xbfe67c6ba36cf8d8,0xbfec730218f2e284,2 +np.float64,0xffef9d97723f3b2e,0xd54413e38b6c29be,2 +np.float64,0x12d8cd2a25b1b,0x2a90e5ccd37b8563,2 +np.float64,0x81fe019103fc0,0x2aa01524155e73c5,2 +np.float64,0x7fe95d546f72baa8,0x5542a7fabfd425ff,2 +np.float64,0x800e742f1f9ce85e,0xaaa37cbe09e1f874,2 +np.float64,0xffd96bd3a732d7a8,0xd53da3086071264a,2 +np.float64,0x4ef2691e9de4e,0x2a9b3d316047fd6d,2 +np.float64,0x1a91684c3522e,0x2a92f25913c213de,2 +np.float64,0x3d5151b87aa2b,0x2a9909dbd9a44a84,2 +np.float64,0x800d9049435b2093,0xaaa31424e32d94a2,2 +np.float64,0xffe5b25fcc2b64bf,0xd541b5b0416b40b5,2 +np.float64,0xffe0eb784c21d6f0,0xd5404d083c3d6bc6,2 +np.float64,0x8007ceefbf0f9de0,0xaa9fbe0d739368b4,2 +np.float64,0xb78529416f0b,0x2a8ca3b29b5b3f18,2 +np.float64,0x7fba61130034c225,0x5532e6d4ca0f2918,2 +np.float64,0x3fba8d67ae351acf,0x3fde11efd6239b09,2 +np.float64,0x3fe7f24c576fe498,0x3fed0d63947a854d,2 +np.float64,0x2bb58dec576b3,0x2a965de7fca12aff,2 +np.float64,0xbfe86ceec4f0d9de,0xbfed3ea7f1d084e2,2 +np.float64,0x7fd1a7f7bca34fee,0x553a3f01b67fad2a,2 +np.float64,0x3fd9a43acfb34874,0x3fe7972dc5d8dfd6,2 +np.float64,0x7fd9861acdb30c35,0x553dad3b1bbb3b4d,2 +np.float64,0xffecc0c388398186,0xd54373d3b903deec,2 +np.float64,0x3fa6f86e9c2df0e0,0x3fd6bdbe40fcf710,2 +np.float64,0x800ddd99815bbb33,0xaaa33820d2f889bb,2 +np.float64,0x7fe087089b610e10,0x55402c868348a6d3,2 +np.float64,0x3fdf43d249be87a5,0x3fe933d29fbf7c23,2 +np.float64,0x7fe4f734c7a9ee69,0x5541822e56c40725,2 +np.float64,0x3feb39a9d3b67354,0x3fee526bf1f69f0e,2 +np.float64,0x3fe61454a0ec28a9,0x3fec46d7c36f7566,2 +np.float64,0xbfeafaa0a375f541,0xbfee3af2e49d457a,2 +np.float64,0x3fda7378e1b4e6f0,0x3fe7d613a3f92c40,2 +np.float64,0xe3e31c5fc7c64,0x2aa3645c12e26171,2 +np.float64,0xbfe97a556df2f4ab,0xbfeda8aa84cf3544,2 +np.float64,0xff612f9c80225f00,0xd514a51e5a2a8a97,2 +np.float64,0x800c51c8a0f8a391,0xaaa279fe7d40b50b,2 +np.float64,0xffd6f9d2312df3a4,0xd53ca783a5f8d110,2 +np.float64,0xbfead48bd7f5a918,0xbfee2cb2f89c5e57,2 +np.float64,0x800f5949e89eb294,0xaaa3e1a67a10cfef,2 +np.float64,0x800faf292b7f5e52,0xaaa40675e0c96cfd,2 +np.float64,0xbfedc238453b8470,0xbfef3c179d2d0209,2 +np.float64,0x3feb0443c5760888,0x3fee3e8bf29089c2,2 +np.float64,0xb26f69e164ded,0x2aa1df9f3dd7d765,2 +np.float64,0x3fcacdc053359b80,0x3fe300a67765b667,2 +np.float64,0x3fe8b274647164e8,0x3fed5a4cd4da8155,2 +np.float64,0x291e6782523ce,0x2a95ea7ac1b13a68,2 +np.float64,0xbfc4fc094e29f814,0xbfe1838671fc8513,2 +np.float64,0x3fbf1301f23e2600,0x3fdfb03a6f13e597,2 +np.float64,0xffeb36554ab66caa,0xd543193d8181e4f9,2 +np.float64,0xbfd969a52db2d34a,0xbfe78528ae61f16d,2 +np.float64,0x800cccd04d3999a1,0xaaa2b6b7a2d2d2d6,2 +np.float64,0x808eb4cb011d7,0x2aa005effecb2b4a,2 +np.float64,0x7fe839b3f9b07367,0x55425f61e344cd6d,2 +np.float64,0xbfeb25b6ed764b6e,0xbfee4b0234fee365,2 +np.float64,0xffefffffffffffff,0xd54428a2f98d728b,2 +np.float64,0xbfe01305da60260c,0xbfe9700b784af7e9,2 +np.float64,0xffcbf36b0a37e6d8,0xd538474b1d74ffe1,2 +np.float64,0xffaeebe3e83dd7c0,0xd52fa2e8dabf7209,2 +np.float64,0xbfd9913bf0b32278,0xbfe7915907aab13c,2 +np.float64,0xbfe7d125d9efa24c,0xbfecfff563177706,2 +np.float64,0xbfee98d23cbd31a4,0xbfef867ae393e446,2 +np.float64,0x3fe30efb67e61df6,0x3feaec6344633d11,2 +np.float64,0x1,0x2990000000000000,2 +np.float64,0x7fd5524fd3aaa49f,0x553bf30d18ab877e,2 +np.float64,0xc98b403f93168,0x2aa29d2fadb13c07,2 +np.float64,0xffe57080046ae100,0xd541a3b1b687360e,2 +np.float64,0x7fe20bade5e4175b,0x5540a79b94294f40,2 +np.float64,0x3fe155400a22aa80,0x3fea15c45f5b5837,2 +np.float64,0x7fe428dc8f6851b8,0x554147fd2ce93cc1,2 +np.float64,0xffefb77eb67f6efc,0xd544195dcaff4980,2 +np.float64,0x3fe49e733b293ce6,0x3feba394b833452a,2 +np.float64,0x38e01e3e71c05,0x2a986b2c955bad21,2 +np.float64,0x7fe735eb376e6bd5,0x55421cc51290d92d,2 +np.float64,0xbfd81d8644b03b0c,0xbfe71ce6d6fbd51a,2 +np.float64,0x8009a32325134647,0xaaa10645d0e6b0d7,2 +np.float64,0x56031ab8ac064,0x2a9c074be40b1f80,2 +np.float64,0xff8989aa30331340,0xd522b2d319a0ac6e,2 +np.float64,0xbfd6c183082d8306,0xbfe6ab8ffb3a8293,2 +np.float64,0x7ff8000000000000,0x7ff8000000000000,2 +np.float64,0xbfe17b68b1e2f6d2,0xbfea28dac8e0c457,2 +np.float64,0x3fbb50e42236a1c8,0x3fde5b090d51e3bd,2 +np.float64,0xffc2bb7cbf2576f8,0xd5353f1b3571c17f,2 +np.float64,0xbfe7576bca6eaed8,0xbfecce388241f47c,2 +np.float64,0x3fe7b52b04ef6a56,0x3fecf495bef99e7e,2 +np.float64,0xffe5511af82aa236,0xd5419b11524e8350,2 +np.float64,0xbfe66d5edf2cdabe,0xbfec6ca7d7b5be8c,2 +np.float64,0xc84a0ba790942,0x2aa29346f16a2cb4,2 +np.float64,0x6db5e7a0db6be,0x2a9e659c0e8244a0,2 +np.float64,0x7fef8f7b647f1ef6,0x554410e67af75d27,2 +np.float64,0xbfe2b4ada7e5695c,0xbfeac1997ec5a064,2 +np.float64,0xbfe99372e03326e6,0xbfedb2662b287543,2 +np.float64,0x3fa45d352428ba6a,0x3fd5d8a895423abb,2 +np.float64,0x3fa029695c2052d3,0x3fd439f858998886,2 +np.float64,0xffe0a9bd3261537a,0xd54037d0cd8bfcda,2 +np.float64,0xbfef83e09a7f07c1,0xbfefd66a4070ce73,2 +np.float64,0x7fee3dcc31fc7b97,0x5543c8503869407e,2 +np.float64,0xffbd16f1603a2de0,0xd533872fa5be978b,2 +np.float64,0xbfe8173141b02e62,0xbfed1c478614c6f4,2 +np.float64,0xbfef57aa277eaf54,0xbfefc77fdab27771,2 +np.float64,0x7fe883a02f31073f,0x554271ff0e3208da,2 +np.float64,0xe3adb63bc75b7,0x2aa362d833d0e41c,2 +np.float64,0x8001c430bac38862,0xaa93575026d26510,2 +np.float64,0x12fb347225f67,0x2a90f00eb9edb3fe,2 +np.float64,0x3fe53f83cbaa7f08,0x3febead40de452c2,2 +np.float64,0xbfe7f67227efece4,0xbfed0f10e32ad220,2 +np.float64,0xb8c5b45d718b7,0x2aa2152912cda86d,2 +np.float64,0x3fd23bb734a4776e,0x3fe50e5d3008c095,2 +np.float64,0x8001fd558ee3faac,0xaa941faa1f7ed450,2 +np.float64,0xffe6bbeda9ed77db,0xd541fcd185a63afa,2 +np.float64,0x4361d79086c3c,0x2a99d692237c30b7,2 +np.float64,0xbfd012f004a025e0,0xbfe43093e290fd0d,2 +np.float64,0xffe1d8850423b10a,0xd54097cf79d8d01e,2 +np.float64,0x3fccf4df7939e9bf,0x3fe37f8cf8be6436,2 +np.float64,0x8000546bc6c0a8d8,0xaa861bb3588556f2,2 +np.float64,0xbfecb4d6ba7969ae,0xbfeedcb6239135fe,2 +np.float64,0xbfaeb425cc3d6850,0xbfd90cfc103bb896,2 +np.float64,0x800ec037ec7d8070,0xaaa39eae8bde9774,2 +np.float64,0xbfeeaf863dfd5f0c,0xbfef8e4514772a8a,2 +np.float64,0xffec67c6c4b8cf8d,0xd5435fad89f900cf,2 +np.float64,0x3fda4498da348932,0x3fe7c7f6b3f84048,2 +np.float64,0xbfd05fd3dea0bfa8,0xbfe4509265a9b65f,2 +np.float64,0x3fe42cc713a8598e,0x3feb706ba9cd533c,2 +np.float64,0xec22d4d7d845b,0x2aa39f8cccb9711c,2 +np.float64,0x7fda30606c3460c0,0x553deea865065196,2 +np.float64,0xbfd58cba8bab1976,0xbfe64327ce32d611,2 +np.float64,0xadd521c75baa4,0x2aa1b7efce201a98,2 +np.float64,0x7fed43c1027a8781,0x55439131832b6429,2 +np.float64,0x800bee278fb7dc4f,0xaaa247a71e776db4,2 +np.float64,0xbfe9be5dd2737cbc,0xbfedc2f9501755b0,2 +np.float64,0x8003f4854447e90b,0xaa994d9b5372b13b,2 +np.float64,0xbfe5d0f867eba1f1,0xbfec29f8dd8b33a4,2 +np.float64,0x3fd79102d5af2206,0x3fe6efaa7a1efddb,2 +np.float64,0xbfeae783c835cf08,0xbfee33cdb4a44e81,2 +np.float64,0x3fcf1713e83e2e28,0x3fe3f7414753ddfb,2 +np.float64,0xffe5ab3cff2b567a,0xd541b3bf0213274a,2 +np.float64,0x7fe0fc65d8a1f8cb,0x554052761ac96386,2 +np.float64,0x7e81292efd026,0x2a9fdff8c01ae86f,2 +np.float64,0x80091176039222ec,0xaaa0aebf0565dfa6,2 +np.float64,0x800d2bf5ab5a57ec,0xaaa2e4a4c31e7e29,2 +np.float64,0xffd1912ea923225e,0xd53a33b2856726ab,2 +np.float64,0x800869918ed0d323,0xaaa0453408e1295d,2 +np.float64,0xffba0898fa341130,0xd532d19b202a9646,2 +np.float64,0xbfe09fac29613f58,0xbfe9b9687b5811a1,2 +np.float64,0xbfbd4ae82e3a95d0,0xbfdf1220f6f0fdfa,2 +np.float64,0xffea11d27bb423a4,0xd542d3d3e1522474,2 +np.float64,0xbfe6b05705ad60ae,0xbfec88d6bcab2683,2 +np.float64,0x3fe624a3f2ec4948,0x3fec4dcc78ddf871,2 +np.float64,0x53483018a6907,0x2a9bba8f92006b69,2 +np.float64,0xbfec0a6eeb7814de,0xbfee9f2a741248d7,2 +np.float64,0x3fe8c8ce6371919d,0x3fed63250c643482,2 +np.float64,0xbfe26b0ef964d61e,0xbfea9e511db83437,2 +np.float64,0xffa0408784208110,0xd52987f62c369ae9,2 +np.float64,0xffc153abc322a758,0xd534b384b5c5fe63,2 +np.float64,0xbfbdce88a63b9d10,0xbfdf4065ef0b01d4,2 +np.float64,0xffed4a4136fa9482,0xd54392a450f8b0af,2 +np.float64,0x8007aa18748f5432,0xaa9f8bd2226d4299,2 +np.float64,0xbfdab4d3e8b569a8,0xbfe7e9a5402540e5,2 +np.float64,0x7fe68914f92d1229,0x5541ef5e78fa35de,2 +np.float64,0x800a538bb1b4a718,0xaaa16bc487711295,2 +np.float64,0xffe02edbc8605db7,0xd5400f8f713df890,2 +np.float64,0xffe8968053712d00,0xd54276b9cc7f460a,2 +np.float64,0x800a4ce211d499c5,0xaaa1680491deb40c,2 +np.float64,0x3f988080f8310102,0x3fd2713691e99329,2 +np.float64,0xf64e42a7ec9c9,0x2aa3e6a7af780878,2 +np.float64,0xff73cc7100279900,0xd51b4478c3409618,2 +np.float64,0x71e6722ce3ccf,0x2a9ec76ddf296ce0,2 +np.float64,0x8006ca16ab0d942e,0xaa9e4bfd862af570,2 +np.float64,0x8000000000000000,0x8000000000000000,2 +np.float64,0xbfed373e02ba6e7c,0xbfef0b2b7bb767b3,2 +np.float64,0xa6cb0f694d962,0x2aa179dd16b0242b,2 +np.float64,0x7fec14626cf828c4,0x55434ca55b7c85d5,2 +np.float64,0x3fcda404513b4808,0x3fe3a68e8d977752,2 +np.float64,0xbfeb94995f772933,0xbfee74091d288b81,2 +np.float64,0x3fce2299a13c4530,0x3fe3c2603f28d23b,2 +np.float64,0xffd07f4534a0fe8a,0xd539a8a6ebc5a603,2 +np.float64,0x7fdb1c651e3638c9,0x553e478a6385c86b,2 +np.float64,0x3fec758336f8eb06,0x3feec5f3b92c8b28,2 +np.float64,0x796fc87cf2dfa,0x2a9f7184a4ad8c49,2 +np.float64,0x3fef9ba866ff3750,0x3fefde6a446fc2cd,2 +np.float64,0x964d26c72c9a5,0x2aa0e143f1820179,2 +np.float64,0xbfef6af750bed5ef,0xbfefce04870a97bd,2 +np.float64,0x3fe2f3961aa5e72c,0x3feadf769321a3ff,2 +np.float64,0xbfd6b706e9ad6e0e,0xbfe6a8141c5c3b5d,2 +np.float64,0x7fe0ecc40a21d987,0x55404d72c2b46a82,2 +np.float64,0xbfe560d19deac1a3,0xbfebf962681a42a4,2 +np.float64,0xbfea37170ab46e2e,0xbfedf136ee9df02b,2 +np.float64,0xbfebf78947b7ef12,0xbfee9847ef160257,2 +np.float64,0x800551f8312aa3f1,0xaa9bee7d3aa5491b,2 +np.float64,0xffed2513897a4a26,0xd5438a58c4ae28ec,2 +np.float64,0x7fd962d75cb2c5ae,0x553d9f8a0c2016f3,2 +np.float64,0x3fefdd8512bfbb0a,0x3feff47d8da7424d,2 +np.float64,0xbfefa5b43bff4b68,0xbfefe1ca42867af0,2 +np.float64,0xbfc8a2853531450c,0xbfe279bb7b965729,2 +np.float64,0x800c8843bc391088,0xaaa2951344e7b29b,2 +np.float64,0x7fe22587bae44b0e,0x5540af8bb58cfe86,2 +np.float64,0xbfe159fae822b3f6,0xbfea182394eafd8d,2 +np.float64,0xbfe6fdfd50edfbfa,0xbfeca93f2a3597d0,2 +np.float64,0xbfe5cd5afaeb9ab6,0xbfec286a8ce0470f,2 +np.float64,0xbfc84bb97f309774,0xbfe263ef0f8f1f6e,2 +np.float64,0x7fd9c1e548b383ca,0x553dc4556874ecb9,2 +np.float64,0x7fda43d33bb487a5,0x553df60f61532fc0,2 +np.float64,0xbfe774bd25eee97a,0xbfecda42e8578c1f,2 +np.float64,0x800df1f5ab9be3ec,0xaaa34184712e69db,2 +np.float64,0xbff0000000000000,0xbff0000000000000,2 +np.float64,0x3fe14ec21b629d84,0x3fea128244215713,2 +np.float64,0x7fc1ce7843239cf0,0x5534e3fa8285b7b8,2 +np.float64,0xbfe922b204724564,0xbfed86818687d649,2 +np.float64,0x3fc58924fb2b1248,0x3fe1aa715ff6ebbf,2 +np.float64,0x8008b637e4d16c70,0xaaa0760b53abcf46,2 +np.float64,0xffbf55bd4c3eab78,0xd53404a23091a842,2 +np.float64,0x9f6b4a753ed6a,0x2aa136ef9fef9596,2 +np.float64,0xbfd11da7f8a23b50,0xbfe49deb493710d8,2 +np.float64,0x800a2f07fcd45e10,0xaaa157237c98b4f6,2 +np.float64,0x3fdd4defa4ba9bdf,0x3fe8aa0bcf895f4f,2 +np.float64,0x7fe9b0ab05f36155,0x5542bc5335414473,2 +np.float64,0x3fe89c97de313930,0x3fed51a1189b8982,2 +np.float64,0x3fdd45c8773a8b91,0x3fe8a7c2096fbf5a,2 +np.float64,0xbfeb6f64daf6deca,0xbfee665167ef43ad,2 +np.float64,0xffdf9da1c4bf3b44,0xd53fdf141944a983,2 +np.float64,0x3fde092ed0bc125c,0x3fe8de25bfbfc2db,2 +np.float64,0xbfcb21f96b3643f4,0xbfe3147904c258cf,2 +np.float64,0x800c9c934f993927,0xaaa29f17c43f021b,2 +np.float64,0x9b91814d37230,0x2aa11329e59bf6b0,2 +np.float64,0x3fe28a7e0b6514fc,0x3feaad6d23e2eadd,2 +np.float64,0xffecf38395f9e706,0xd5437f3ee1cd61e4,2 +np.float64,0x3fcade92a935bd25,0x3fe3049f4c1da1d0,2 +np.float64,0x800ab25d95d564bc,0xaaa1a076d7c66e04,2 +np.float64,0xffc0989e1e21313c,0xd53467f3b8158298,2 +np.float64,0x3fd81523eeb02a48,0x3fe71a38d2da8a82,2 +np.float64,0x7fe5b9dd402b73ba,0x5541b7b9b8631010,2 +np.float64,0x2c160d94582c3,0x2a966e51b503a3d1,2 +np.float64,0x2c416ffa5882f,0x2a9675aaef8b29c4,2 +np.float64,0x7fefe2ff01bfc5fd,0x55442289faf22b86,2 +np.float64,0xbfd469bf5d28d37e,0xbfe5dd239ffdc7eb,2 +np.float64,0xbfdd56f3eabaade8,0xbfe8ac93244ca17b,2 +np.float64,0xbfe057b89160af71,0xbfe9941557340bb3,2 +np.float64,0x800c50e140b8a1c3,0xaaa2798ace9097ee,2 +np.float64,0xbfda5a8984b4b514,0xbfe7ce93d65a56b0,2 +np.float64,0xbfcd6458323ac8b0,0xbfe39872514127bf,2 +np.float64,0x3fefb1f5ebff63ec,0x3fefe5e761b49b89,2 +np.float64,0x3fea3abc1df47578,0x3fedf29a1c997863,2 +np.float64,0x7fcb4a528e3694a4,0x553815f169667213,2 +np.float64,0x8c77da7b18efc,0x2aa080e52bdedb54,2 +np.float64,0x800e5dde4c5cbbbd,0xaaa372b16fd8b1ad,2 +np.float64,0x3fd2976038a52ec0,0x3fe5316b4f79fdbc,2 +np.float64,0x69413a0ed2828,0x2a9dfacd9cb44286,2 +np.float64,0xbfebbac0bdb77582,0xbfee820d9288b631,2 +np.float64,0x1a12aa7c34256,0x2a92d407e073bbfe,2 +np.float64,0xbfc41a27c3283450,0xbfe143c8665b0d3c,2 +np.float64,0xffe4faa41369f548,0xd54183230e0ce613,2 +np.float64,0xbfdeae81f23d5d04,0xbfe90b734bf35b68,2 +np.float64,0x3fc984ba58330975,0x3fe2b19e9052008e,2 +np.float64,0x7fe6e51b8d2dca36,0x554207a74ae2bb39,2 +np.float64,0x80081a58a81034b2,0xaaa0117d4aff11c8,2 +np.float64,0x7fde3fddfe3c7fbb,0x553f67d0082acc67,2 +np.float64,0x3fac7c999038f933,0x3fd86ec2f5dc3aa4,2 +np.float64,0x7fa26b4c4c24d698,0x552a9e6ea8545c18,2 +np.float64,0x3fdacd06e6b59a0e,0x3fe7f0dc0e8f9c6d,2 +np.float64,0x80064b62cbec96c6,0xaa9d8ac0506fdd05,2 +np.float64,0xb858116170b1,0x2a8caea703d9ccc8,2 +np.float64,0xbfe8d94ccef1b29a,0xbfed69a8782cbf3d,2 +np.float64,0x8005607d6a6ac0fc,0xaa9c07cf8620b037,2 +np.float64,0xbfe66a52daacd4a6,0xbfec6b5e403e6864,2 +np.float64,0x7fc398c2e0273185,0x5535918245894606,2 +np.float64,0x74b2d7dce965c,0x2a9f077020defdbc,2 +np.float64,0x7fe8f7a4d9b1ef49,0x55428eeae210e8eb,2 +np.float64,0x80027deddc84fbdc,0xaa95b11ff9089745,2 +np.float64,0xffeba2a94e774552,0xd5433273f6568902,2 +np.float64,0x80002f8259405f05,0xaa8240b68d7b9dc4,2 +np.float64,0xbfdf0d84883e1b0a,0xbfe92532c69c5802,2 +np.float64,0xbfcdfa7b6b3bf4f8,0xbfe3b997a84d0914,2 +np.float64,0x800c18b04e183161,0xaaa25d46d60b15c6,2 +np.float64,0xffeaf1e37c35e3c6,0xd543092cd929ac19,2 +np.float64,0xbfc5aa07752b5410,0xbfe1b36ab5ec741f,2 +np.float64,0x3fe5c491d1eb8924,0x3fec24a1c3f6a178,2 +np.float64,0xbfeb736937f6e6d2,0xbfee67cd296e6fa9,2 +np.float64,0xffec3d5718787aad,0xd5435602e1a2cc43,2 +np.float64,0x7fe71e1da86e3c3a,0x55421691ead882cb,2 +np.float64,0x3fdd6ed0c93adda2,0x3fe8b341d066c43c,2 +np.float64,0x7fbe3d7a203c7af3,0x5533c83e53283430,2 +np.float64,0x3fdc20cb56384197,0x3fe854676360aba9,2 +np.float64,0xb7a1ac636f436,0x2aa20b9d40d66e78,2 +np.float64,0x3fb1491bb8229237,0x3fda0fabad1738ee,2 +np.float64,0xbfdf9c0ce73f381a,0xbfe94b716dbe35ee,2 +np.float64,0xbfbd4f0ad23a9e18,0xbfdf1397329a2dce,2 +np.float64,0xbfe4e0caac69c196,0xbfebc119b8a181cd,2 +np.float64,0x5753641aaea6d,0x2a9c2ba3e92b0cd2,2 +np.float64,0x72bb814ae5771,0x2a9eda92fada66de,2 +np.float64,0x57ed8f5aafdb3,0x2a9c3c2e1d42e609,2 +np.float64,0xffec33359c38666a,0xd54353b2acd0daf1,2 +np.float64,0x3fa5fe6e8c2bfce0,0x3fd66a0b3bf2720a,2 +np.float64,0xffe2dc8d7ca5b91a,0xd540e6ebc097d601,2 +np.float64,0x7fd99d260eb33a4b,0x553db626c9c75f78,2 +np.float64,0xbfe2dd73e425bae8,0xbfead4fc4b93a727,2 +np.float64,0xdcd4a583b9a95,0x2aa33094c9a17ad7,2 +np.float64,0x7fb0af6422215ec7,0x553039a606e8e64f,2 +np.float64,0x7fdfab6227bf56c3,0x553fe3b26164aeda,2 +np.float64,0x1e4d265e3c9a6,0x2a93cba8a1a8ae6d,2 +np.float64,0xbfdc7d097238fa12,0xbfe86ee2f24fd473,2 +np.float64,0x7fe5d35d29eba6b9,0x5541bea5878bce2b,2 +np.float64,0xffcb886a903710d4,0xd53828281710aab5,2 +np.float64,0xffe058c7ffe0b190,0xd5401d61e9a7cbcf,2 +np.float64,0x3ff0000000000000,0x3ff0000000000000,2 +np.float64,0xffd5b1c1132b6382,0xd53c1c839c098340,2 +np.float64,0x3fe2e7956725cf2b,0x3fead9c907b9d041,2 +np.float64,0x800a8ee293951dc6,0xaaa18ce3f079f118,2 +np.float64,0x7febcd3085b79a60,0x55433c47e1f822ad,2 +np.float64,0x3feb0e14cd761c2a,0x3fee423542102546,2 +np.float64,0x3fb45e6d0628bcda,0x3fdb86db67d0c992,2 +np.float64,0x7fa836e740306dce,0x552d2907cb8118b2,2 +np.float64,0x3fd15ba25b22b745,0x3fe4b6b018409d78,2 +np.float64,0xbfb59980ce2b3300,0xbfdc1206274cb51d,2 +np.float64,0x3fdef1b87fbde371,0x3fe91dafc62124a1,2 +np.float64,0x7fed37a4337a6f47,0x55438e7e0b50ae37,2 +np.float64,0xffe6c87633ad90ec,0xd542001f216ab448,2 +np.float64,0x8008d2548ab1a4a9,0xaaa087ad272d8e17,2 +np.float64,0xbfd1d6744da3ace8,0xbfe4e71965adda74,2 +np.float64,0xbfb27f751224fee8,0xbfdaa82132775406,2 +np.float64,0x3fe2b336ae65666d,0x3feac0e6b13ec2d2,2 +np.float64,0xffc6bac2262d7584,0xd536a951a2eecb49,2 +np.float64,0x7fdb661321b6cc25,0x553e62dfd7fcd3f3,2 +np.float64,0xffe83567d5706acf,0xd5425e4bb5027568,2 +np.float64,0xbf7f0693e03e0d00,0xbfc9235314d53f82,2 +np.float64,0x3feb32b218766564,0x3fee4fd5847f3722,2 +np.float64,0x3fec25d33df84ba6,0x3feea91fcd4aebab,2 +np.float64,0x7fe17abecb22f57d,0x55407a8ba661207c,2 +np.float64,0xbfe5674b1eeace96,0xbfebfc351708dc70,2 +np.float64,0xbfe51a2d2f6a345a,0xbfebda702c9d302a,2 +np.float64,0x3fec05584af80ab0,0x3fee9d502a7bf54d,2 +np.float64,0xffda8871dcb510e4,0xd53e10105f0365b5,2 +np.float64,0xbfc279c31824f388,0xbfe0c9354d871484,2 +np.float64,0x1cbed61e397dc,0x2a937364712cd518,2 +np.float64,0x800787d198af0fa4,0xaa9f5c847affa1d2,2 +np.float64,0x80079f6d65af3edc,0xaa9f7d2863368bbd,2 +np.float64,0xb942f1e97285e,0x2aa2193e0c513b7f,2 +np.float64,0x7fe9078263320f04,0x554292d85dee2c18,2 +np.float64,0xbfe4de0761a9bc0f,0xbfebbfe04116b829,2 +np.float64,0xbfdbe6f3fc37cde8,0xbfe843aea59a0749,2 +np.float64,0xffcb6c0de136d81c,0xd5381fd9c525b813,2 +np.float64,0x9b6bda9336d7c,0x2aa111c924c35386,2 +np.float64,0x3fe17eece422fdda,0x3fea2a9bacd78607,2 +np.float64,0xd8011c49b0024,0x2aa30c87574fc0c6,2 +np.float64,0xbfc0a08b3f214118,0xbfe034d48f0d8dc0,2 +np.float64,0x3fd60adb1eac15b8,0x3fe66e42e4e7e6b5,2 +np.float64,0x80011d68ea023ad3,0xaa909733befbb962,2 +np.float64,0xffb35ac32426b588,0xd5310c4be1c37270,2 +np.float64,0x3fee8b56c9bd16ae,0x3fef81d8d15f6939,2 +np.float64,0x3fdc10a45e382149,0x3fe84fbe4cf11e68,2 +np.float64,0xbfc85dc45e30bb88,0xbfe2687b5518abde,2 +np.float64,0x3fd53b85212a770a,0x3fe6270d6d920d0f,2 +np.float64,0x800fc158927f82b1,0xaaa40e303239586f,2 +np.float64,0x11af5e98235ed,0x2a908b04a790083f,2 +np.float64,0xbfe2a097afe54130,0xbfeab80269eece99,2 +np.float64,0xbfd74ac588ae958c,0xbfe6d8ca3828d0b8,2 +np.float64,0xffea18ab2ef43156,0xd542d579ab31df1e,2 +np.float64,0xbfecda7058f9b4e1,0xbfeeea29c33b7913,2 +np.float64,0x3fc4ac56ed2958b0,0x3fe16d3e2bd7806d,2 +np.float64,0x3feccc898cb99913,0x3feee531f217dcfa,2 +np.float64,0xffeb3a64c5b674c9,0xd5431a30a41f0905,2 +np.float64,0x3fe5a7ee212b4fdc,0x3fec1844af9076fc,2 +np.float64,0x80080fdb52301fb7,0xaaa00a8b4274db67,2 +np.float64,0x800b3e7e47d67cfd,0xaaa1ec2876959852,2 +np.float64,0x80063fb8ee2c7f73,0xaa9d7875c9f20d6f,2 +np.float64,0x7fdacf80d0b59f01,0x553e2acede4c62a8,2 +np.float64,0x401e9b24803d4,0x2a996a0a75d0e093,2 +np.float64,0x3fe6c29505ed852a,0x3fec907a6d8c10af,2 +np.float64,0x8005c04ee2cb809f,0xaa9caa9813faef46,2 +np.float64,0xbfe1360f21e26c1e,0xbfea06155d6985b6,2 +np.float64,0xffc70606682e0c0c,0xd536c239b9d4be0a,2 +np.float64,0x800e639afefcc736,0xaaa37547d0229a26,2 +np.float64,0x3fe5589290aab125,0x3febf5c925c4e6db,2 +np.float64,0x8003b59330276b27,0xaa98c47e44524335,2 +np.float64,0x800d67ec22dacfd8,0xaaa301251b6a730a,2 +np.float64,0x7fdaeb5025b5d69f,0x553e35397dfe87eb,2 +np.float64,0x3fdae32a24b5c654,0x3fe7f771bc108f6c,2 +np.float64,0xffe6c1fc93ad83f8,0xd541fe6a6a716756,2 +np.float64,0xbfd7b9c1d32f7384,0xbfe6fcdae563d638,2 +np.float64,0x800e1bea06fc37d4,0xaaa354c0bf61449c,2 +np.float64,0xbfd78f097aaf1e12,0xbfe6ef068329bdf4,2 +np.float64,0x7fea6a400874d47f,0x5542e905978ad722,2 +np.float64,0x8008b4377cb1686f,0xaaa074c87eee29f9,2 +np.float64,0x8002f3fb8d45e7f8,0xaa96f47ac539b614,2 +np.float64,0xbfcf2b3fd13e5680,0xbfe3fb91c0cc66ad,2 +np.float64,0xffecca2f5279945e,0xd54375f361075927,2 +np.float64,0x7ff0000000000000,0x7ff0000000000000,2 +np.float64,0x7f84d5a5a029ab4a,0x552178d1d4e8640e,2 +np.float64,0x3fea8a4b64351497,0x3fee10c332440eb2,2 +np.float64,0x800fe01ac1dfc036,0xaaa41b34d91a4bee,2 +np.float64,0x3fc0b3d8872167b1,0x3fe03b178d354f8d,2 +np.float64,0x5ee8b0acbdd17,0x2a9cf69f2e317729,2 +np.float64,0x8006ef0407adde09,0xaa9e82888f3dd83e,2 +np.float64,0x7fdbb08a07b76113,0x553e7e4e35b938b9,2 +np.float64,0x49663f9c92cc9,0x2a9a95e0affe5108,2 +np.float64,0x7fd9b87e79b370fc,0x553dc0b5cff3dc7d,2 +np.float64,0xbfd86ae657b0d5cc,0xbfe73584d02bdd2b,2 +np.float64,0x3fd4d4a13729a942,0x3fe6030a962aaaf8,2 +np.float64,0x7fcc246bcb3848d7,0x5538557309449bba,2 +np.float64,0xbfdc86a7d5b90d50,0xbfe871a2983c2a29,2 +np.float64,0xd2a6e995a54dd,0x2aa2e3e9c0fdd6c0,2 +np.float64,0x3f92eb447825d680,0x3fd0eb4fd2ba16d2,2 +np.float64,0x800d4001697a8003,0xaaa2ee358661b75c,2 +np.float64,0x3fd3705fd1a6e0c0,0x3fe582a6f321d7d6,2 +np.float64,0xbfcfdf51533fbea4,0xbfe421c3bdd9f2a3,2 +np.float64,0x3fe268e87964d1d1,0x3fea9d47e08aad8a,2 +np.float64,0x24b8901e49713,0x2a951adeefe7b31b,2 +np.float64,0x3fedb35d687b66bb,0x3fef36e440850bf8,2 +np.float64,0x3fb7ab5cbe2f56c0,0x3fdcf097380721c6,2 +np.float64,0x3f8c4eaa10389d54,0x3fceb7ecb605b73b,2 +np.float64,0xbfed831ed6fb063e,0xbfef25f462a336f1,2 +np.float64,0x7fd8c52112318a41,0x553d61b0ee609f58,2 +np.float64,0xbfe71c4ff76e38a0,0xbfecb5d32e789771,2 +np.float64,0xbfe35fb7b166bf70,0xbfeb12328e75ee6b,2 +np.float64,0x458e1a3a8b1c4,0x2a9a1cebadc81342,2 +np.float64,0x8003c1b3ad478368,0xaa98df5ed060b28c,2 +np.float64,0x7ff4000000000000,0x7ffc000000000000,2 +np.float64,0x7fe17098c162e131,0x5540775a9a3a104f,2 +np.float64,0xbfd95cb71732b96e,0xbfe7812acf7ea511,2 +np.float64,0x8000000000000001,0xa990000000000000,2 +np.float64,0xbfde0e7d9ebc1cfc,0xbfe8df9ca9e49a5b,2 +np.float64,0xffef4f67143e9ecd,0xd5440348a6a2f231,2 +np.float64,0x7fe37d23c826fa47,0x5541165de17caa03,2 +np.float64,0xbfcc0e5f85381cc0,0xbfe34b44b0deefe9,2 +np.float64,0x3fe858f1c470b1e4,0x3fed36ab90557d89,2 +np.float64,0x800e857278fd0ae5,0xaaa3847d13220545,2 +np.float64,0x3febd31a66f7a635,0x3fee8af90e66b043,2 +np.float64,0x7fd3fde1b127fbc2,0x553b5b186a49b968,2 +np.float64,0x3fd3dabb8b27b577,0x3fe5a99b446bed26,2 +np.float64,0xffeb4500f1768a01,0xd5431cab828e254a,2 +np.float64,0xffccca8fc6399520,0xd53884f8b505e79e,2 +np.float64,0xffeee9406b7dd280,0xd543ed6d27a1a899,2 +np.float64,0xffecdde0f0f9bbc1,0xd5437a6258b14092,2 +np.float64,0xe6b54005cd6a8,0x2aa378c25938dfda,2 +np.float64,0x7fe610f1022c21e1,0x5541cf460b972925,2 +np.float64,0xbfe5a170ec6b42e2,0xbfec1576081e3232,2 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cos.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cos.csv new file mode 100644 index 0000000000000000000000000000000000000000..258ae48ce0209f6873101426fce439c233078c89 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cos.csv @@ -0,0 +1,1375 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0x3f800000,2 +np.float32,0x007b2490,0x3f800000,2 +np.float32,0x007c99fa,0x3f800000,2 +np.float32,0x00734a0c,0x3f800000,2 +np.float32,0x0070de24,0x3f800000,2 +np.float32,0x007fffff,0x3f800000,2 +np.float32,0x00000001,0x3f800000,2 +## -ve denormals ## +np.float32,0x80495d65,0x3f800000,2 +np.float32,0x806894f6,0x3f800000,2 +np.float32,0x80555a76,0x3f800000,2 +np.float32,0x804e1fb8,0x3f800000,2 +np.float32,0x80687de9,0x3f800000,2 +np.float32,0x807fffff,0x3f800000,2 +np.float32,0x80000001,0x3f800000,2 +## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ## +np.float32,0x00000000,0x3f800000,2 +np.float32,0x80000000,0x3f800000,2 +np.float32,0x00800000,0x3f800000,2 +np.float32,0x80800000,0x3f800000,2 +## 1.00f + 0x00000001 ## +np.float32,0x3f800000,0x3f0a5140,2 +np.float32,0x3f800001,0x3f0a513f,2 +np.float32,0x3f800002,0x3f0a513d,2 +np.float32,0xc090a8b0,0xbe4332ce,2 +np.float32,0x41ce3184,0x3f4d1de1,2 +np.float32,0xc1d85848,0xbeaa8980,2 +np.float32,0x402b8820,0xbf653aa3,2 +np.float32,0x42b4e454,0xbf4a338b,2 +np.float32,0x42a67a60,0x3c58202e,2 +np.float32,0x41d92388,0xbed987c7,2 +np.float32,0x422dd66c,0x3f5dcab3,2 +np.float32,0xc28f5be6,0xbf5688d8,2 +np.float32,0x41ab2674,0xbf53aa3b,2 +np.float32,0x3f490fdb,0x3f3504f3,2 +np.float32,0xbf490fdb,0x3f3504f3,2 +np.float32,0x3fc90fdb,0xb33bbd2e,2 +np.float32,0xbfc90fdb,0xb33bbd2e,2 +np.float32,0x40490fdb,0xbf800000,2 +np.float32,0xc0490fdb,0xbf800000,2 +np.float32,0x3fc90fdb,0xb33bbd2e,2 +np.float32,0xbfc90fdb,0xb33bbd2e,2 +np.float32,0x40490fdb,0xbf800000,2 +np.float32,0xc0490fdb,0xbf800000,2 +np.float32,0x40c90fdb,0x3f800000,2 +np.float32,0xc0c90fdb,0x3f800000,2 +np.float32,0x4016cbe4,0xbf3504f3,2 +np.float32,0xc016cbe4,0xbf3504f3,2 +np.float32,0x4096cbe4,0x324cde2e,2 +np.float32,0xc096cbe4,0x324cde2e,2 +np.float32,0x4116cbe4,0xbf800000,2 +np.float32,0xc116cbe4,0xbf800000,2 +np.float32,0x40490fdb,0xbf800000,2 +np.float32,0xc0490fdb,0xbf800000,2 +np.float32,0x40c90fdb,0x3f800000,2 +np.float32,0xc0c90fdb,0x3f800000,2 +np.float32,0x41490fdb,0x3f800000,2 +np.float32,0xc1490fdb,0x3f800000,2 +np.float32,0x407b53d2,0xbf3504f1,2 +np.float32,0xc07b53d2,0xbf3504f1,2 +np.float32,0x40fb53d2,0xb4b5563d,2 +np.float32,0xc0fb53d2,0xb4b5563d,2 +np.float32,0x417b53d2,0xbf800000,2 +np.float32,0xc17b53d2,0xbf800000,2 +np.float32,0x4096cbe4,0x324cde2e,2 +np.float32,0xc096cbe4,0x324cde2e,2 +np.float32,0x4116cbe4,0xbf800000,2 +np.float32,0xc116cbe4,0xbf800000,2 +np.float32,0x4196cbe4,0x3f800000,2 +np.float32,0xc196cbe4,0x3f800000,2 +np.float32,0x40afede0,0x3f3504f7,2 +np.float32,0xc0afede0,0x3f3504f7,2 +np.float32,0x412fede0,0x353222c4,2 +np.float32,0xc12fede0,0x353222c4,2 +np.float32,0x41afede0,0xbf800000,2 +np.float32,0xc1afede0,0xbf800000,2 +np.float32,0x40c90fdb,0x3f800000,2 +np.float32,0xc0c90fdb,0x3f800000,2 +np.float32,0x41490fdb,0x3f800000,2 +np.float32,0xc1490fdb,0x3f800000,2 +np.float32,0x41c90fdb,0x3f800000,2 +np.float32,0xc1c90fdb,0x3f800000,2 +np.float32,0x40e231d6,0x3f3504f3,2 +np.float32,0xc0e231d6,0x3f3504f3,2 +np.float32,0x416231d6,0xb319a6a2,2 +np.float32,0xc16231d6,0xb319a6a2,2 +np.float32,0x41e231d6,0xbf800000,2 +np.float32,0xc1e231d6,0xbf800000,2 +np.float32,0x40fb53d2,0xb4b5563d,2 +np.float32,0xc0fb53d2,0xb4b5563d,2 +np.float32,0x417b53d2,0xbf800000,2 +np.float32,0xc17b53d2,0xbf800000,2 +np.float32,0x41fb53d2,0x3f800000,2 +np.float32,0xc1fb53d2,0x3f800000,2 +np.float32,0x410a3ae7,0xbf3504fb,2 +np.float32,0xc10a3ae7,0xbf3504fb,2 +np.float32,0x418a3ae7,0x35b08908,2 +np.float32,0xc18a3ae7,0x35b08908,2 +np.float32,0x420a3ae7,0xbf800000,2 +np.float32,0xc20a3ae7,0xbf800000,2 +np.float32,0x4116cbe4,0xbf800000,2 +np.float32,0xc116cbe4,0xbf800000,2 +np.float32,0x4196cbe4,0x3f800000,2 +np.float32,0xc196cbe4,0x3f800000,2 +np.float32,0x4216cbe4,0x3f800000,2 +np.float32,0xc216cbe4,0x3f800000,2 +np.float32,0x41235ce2,0xbf3504ef,2 +np.float32,0xc1235ce2,0xbf3504ef,2 +np.float32,0x41a35ce2,0xb53889b6,2 +np.float32,0xc1a35ce2,0xb53889b6,2 +np.float32,0x42235ce2,0xbf800000,2 +np.float32,0xc2235ce2,0xbf800000,2 +np.float32,0x412fede0,0x353222c4,2 +np.float32,0xc12fede0,0x353222c4,2 +np.float32,0x41afede0,0xbf800000,2 +np.float32,0xc1afede0,0xbf800000,2 +np.float32,0x422fede0,0x3f800000,2 +np.float32,0xc22fede0,0x3f800000,2 +np.float32,0x413c7edd,0x3f3504f4,2 +np.float32,0xc13c7edd,0x3f3504f4,2 +np.float32,0x41bc7edd,0x33800add,2 +np.float32,0xc1bc7edd,0x33800add,2 +np.float32,0x423c7edd,0xbf800000,2 +np.float32,0xc23c7edd,0xbf800000,2 +np.float32,0x41490fdb,0x3f800000,2 +np.float32,0xc1490fdb,0x3f800000,2 +np.float32,0x41c90fdb,0x3f800000,2 +np.float32,0xc1c90fdb,0x3f800000,2 +np.float32,0x42490fdb,0x3f800000,2 +np.float32,0xc2490fdb,0x3f800000,2 +np.float32,0x4155a0d9,0x3f3504eb,2 +np.float32,0xc155a0d9,0x3f3504eb,2 +np.float32,0x41d5a0d9,0xb5b3bc81,2 +np.float32,0xc1d5a0d9,0xb5b3bc81,2 +np.float32,0x4255a0d9,0xbf800000,2 +np.float32,0xc255a0d9,0xbf800000,2 +np.float32,0x416231d6,0xb319a6a2,2 +np.float32,0xc16231d6,0xb319a6a2,2 +np.float32,0x41e231d6,0xbf800000,2 +np.float32,0xc1e231d6,0xbf800000,2 +np.float32,0x426231d6,0x3f800000,2 +np.float32,0xc26231d6,0x3f800000,2 +np.float32,0x416ec2d4,0xbf3504f7,2 +np.float32,0xc16ec2d4,0xbf3504f7,2 +np.float32,0x41eec2d4,0x353ef0a7,2 +np.float32,0xc1eec2d4,0x353ef0a7,2 +np.float32,0x426ec2d4,0xbf800000,2 +np.float32,0xc26ec2d4,0xbf800000,2 +np.float32,0x417b53d2,0xbf800000,2 +np.float32,0xc17b53d2,0xbf800000,2 +np.float32,0x41fb53d2,0x3f800000,2 +np.float32,0xc1fb53d2,0x3f800000,2 +np.float32,0x427b53d2,0x3f800000,2 +np.float32,0xc27b53d2,0x3f800000,2 +np.float32,0x4183f268,0xbf3504e7,2 +np.float32,0xc183f268,0xbf3504e7,2 +np.float32,0x4203f268,0xb6059a13,2 +np.float32,0xc203f268,0xb6059a13,2 +np.float32,0x4283f268,0xbf800000,2 +np.float32,0xc283f268,0xbf800000,2 +np.float32,0x418a3ae7,0x35b08908,2 +np.float32,0xc18a3ae7,0x35b08908,2 +np.float32,0x420a3ae7,0xbf800000,2 +np.float32,0xc20a3ae7,0xbf800000,2 +np.float32,0x428a3ae7,0x3f800000,2 +np.float32,0xc28a3ae7,0x3f800000,2 +np.float32,0x41908365,0x3f3504f0,2 +np.float32,0xc1908365,0x3f3504f0,2 +np.float32,0x42108365,0xb512200d,2 +np.float32,0xc2108365,0xb512200d,2 +np.float32,0x42908365,0xbf800000,2 +np.float32,0xc2908365,0xbf800000,2 +np.float32,0x4196cbe4,0x3f800000,2 +np.float32,0xc196cbe4,0x3f800000,2 +np.float32,0x4216cbe4,0x3f800000,2 +np.float32,0xc216cbe4,0x3f800000,2 +np.float32,0x4296cbe4,0x3f800000,2 +np.float32,0xc296cbe4,0x3f800000,2 +np.float32,0x419d1463,0x3f3504ef,2 +np.float32,0xc19d1463,0x3f3504ef,2 +np.float32,0x421d1463,0xb5455799,2 +np.float32,0xc21d1463,0xb5455799,2 +np.float32,0x429d1463,0xbf800000,2 +np.float32,0xc29d1463,0xbf800000,2 +np.float32,0x41a35ce2,0xb53889b6,2 +np.float32,0xc1a35ce2,0xb53889b6,2 +np.float32,0x42235ce2,0xbf800000,2 +np.float32,0xc2235ce2,0xbf800000,2 +np.float32,0x42a35ce2,0x3f800000,2 +np.float32,0xc2a35ce2,0x3f800000,2 +np.float32,0x41a9a561,0xbf3504ff,2 +np.float32,0xc1a9a561,0xbf3504ff,2 +np.float32,0x4229a561,0x360733d0,2 +np.float32,0xc229a561,0x360733d0,2 +np.float32,0x42a9a561,0xbf800000,2 +np.float32,0xc2a9a561,0xbf800000,2 +np.float32,0x41afede0,0xbf800000,2 +np.float32,0xc1afede0,0xbf800000,2 +np.float32,0x422fede0,0x3f800000,2 +np.float32,0xc22fede0,0x3f800000,2 +np.float32,0x42afede0,0x3f800000,2 +np.float32,0xc2afede0,0x3f800000,2 +np.float32,0x41b6365e,0xbf3504f6,2 +np.float32,0xc1b6365e,0xbf3504f6,2 +np.float32,0x4236365e,0x350bb91c,2 +np.float32,0xc236365e,0x350bb91c,2 +np.float32,0x42b6365e,0xbf800000,2 +np.float32,0xc2b6365e,0xbf800000,2 +np.float32,0x41bc7edd,0x33800add,2 +np.float32,0xc1bc7edd,0x33800add,2 +np.float32,0x423c7edd,0xbf800000,2 +np.float32,0xc23c7edd,0xbf800000,2 +np.float32,0x42bc7edd,0x3f800000,2 +np.float32,0xc2bc7edd,0x3f800000,2 +np.float32,0x41c2c75c,0x3f3504f8,2 +np.float32,0xc1c2c75c,0x3f3504f8,2 +np.float32,0x4242c75c,0x354bbe8a,2 +np.float32,0xc242c75c,0x354bbe8a,2 +np.float32,0x42c2c75c,0xbf800000,2 +np.float32,0xc2c2c75c,0xbf800000,2 +np.float32,0x41c90fdb,0x3f800000,2 +np.float32,0xc1c90fdb,0x3f800000,2 +np.float32,0x42490fdb,0x3f800000,2 +np.float32,0xc2490fdb,0x3f800000,2 +np.float32,0x42c90fdb,0x3f800000,2 +np.float32,0xc2c90fdb,0x3f800000,2 +np.float32,0x41cf585a,0x3f3504e7,2 +np.float32,0xc1cf585a,0x3f3504e7,2 +np.float32,0x424f585a,0xb608cd8c,2 +np.float32,0xc24f585a,0xb608cd8c,2 +np.float32,0x42cf585a,0xbf800000,2 +np.float32,0xc2cf585a,0xbf800000,2 +np.float32,0x41d5a0d9,0xb5b3bc81,2 +np.float32,0xc1d5a0d9,0xb5b3bc81,2 +np.float32,0x4255a0d9,0xbf800000,2 +np.float32,0xc255a0d9,0xbf800000,2 +np.float32,0x42d5a0d9,0x3f800000,2 +np.float32,0xc2d5a0d9,0x3f800000,2 +np.float32,0x41dbe958,0xbf350507,2 +np.float32,0xc1dbe958,0xbf350507,2 +np.float32,0x425be958,0x365eab75,2 +np.float32,0xc25be958,0x365eab75,2 +np.float32,0x42dbe958,0xbf800000,2 +np.float32,0xc2dbe958,0xbf800000,2 +np.float32,0x41e231d6,0xbf800000,2 +np.float32,0xc1e231d6,0xbf800000,2 +np.float32,0x426231d6,0x3f800000,2 +np.float32,0xc26231d6,0x3f800000,2 +np.float32,0x42e231d6,0x3f800000,2 +np.float32,0xc2e231d6,0x3f800000,2 +np.float32,0x41e87a55,0xbf3504ef,2 +np.float32,0xc1e87a55,0xbf3504ef,2 +np.float32,0x42687a55,0xb552257b,2 +np.float32,0xc2687a55,0xb552257b,2 +np.float32,0x42e87a55,0xbf800000,2 +np.float32,0xc2e87a55,0xbf800000,2 +np.float32,0x41eec2d4,0x353ef0a7,2 +np.float32,0xc1eec2d4,0x353ef0a7,2 +np.float32,0x426ec2d4,0xbf800000,2 +np.float32,0xc26ec2d4,0xbf800000,2 +np.float32,0x42eec2d4,0x3f800000,2 +np.float32,0xc2eec2d4,0x3f800000,2 +np.float32,0x41f50b53,0x3f3504ff,2 +np.float32,0xc1f50b53,0x3f3504ff,2 +np.float32,0x42750b53,0x360a6748,2 +np.float32,0xc2750b53,0x360a6748,2 +np.float32,0x42f50b53,0xbf800000,2 +np.float32,0xc2f50b53,0xbf800000,2 +np.float32,0x41fb53d2,0x3f800000,2 +np.float32,0xc1fb53d2,0x3f800000,2 +np.float32,0x427b53d2,0x3f800000,2 +np.float32,0xc27b53d2,0x3f800000,2 +np.float32,0x42fb53d2,0x3f800000,2 +np.float32,0xc2fb53d2,0x3f800000,2 +np.float32,0x4200ce28,0x3f3504f6,2 +np.float32,0xc200ce28,0x3f3504f6,2 +np.float32,0x4280ce28,0x34fdd672,2 +np.float32,0xc280ce28,0x34fdd672,2 +np.float32,0x4300ce28,0xbf800000,2 +np.float32,0xc300ce28,0xbf800000,2 +np.float32,0x4203f268,0xb6059a13,2 +np.float32,0xc203f268,0xb6059a13,2 +np.float32,0x4283f268,0xbf800000,2 +np.float32,0xc283f268,0xbf800000,2 +np.float32,0x4303f268,0x3f800000,2 +np.float32,0xc303f268,0x3f800000,2 +np.float32,0x420716a7,0xbf3504f8,2 +np.float32,0xc20716a7,0xbf3504f8,2 +np.float32,0x428716a7,0x35588c6d,2 +np.float32,0xc28716a7,0x35588c6d,2 +np.float32,0x430716a7,0xbf800000,2 +np.float32,0xc30716a7,0xbf800000,2 +np.float32,0x420a3ae7,0xbf800000,2 +np.float32,0xc20a3ae7,0xbf800000,2 +np.float32,0x428a3ae7,0x3f800000,2 +np.float32,0xc28a3ae7,0x3f800000,2 +np.float32,0x430a3ae7,0x3f800000,2 +np.float32,0xc30a3ae7,0x3f800000,2 +np.float32,0x420d5f26,0xbf3504e7,2 +np.float32,0xc20d5f26,0xbf3504e7,2 +np.float32,0x428d5f26,0xb60c0105,2 +np.float32,0xc28d5f26,0xb60c0105,2 +np.float32,0x430d5f26,0xbf800000,2 +np.float32,0xc30d5f26,0xbf800000,2 +np.float32,0x42108365,0xb512200d,2 +np.float32,0xc2108365,0xb512200d,2 +np.float32,0x42908365,0xbf800000,2 +np.float32,0xc2908365,0xbf800000,2 +np.float32,0x43108365,0x3f800000,2 +np.float32,0xc3108365,0x3f800000,2 +np.float32,0x4213a7a5,0x3f350507,2 +np.float32,0xc213a7a5,0x3f350507,2 +np.float32,0x4293a7a5,0x3661deee,2 +np.float32,0xc293a7a5,0x3661deee,2 +np.float32,0x4313a7a5,0xbf800000,2 +np.float32,0xc313a7a5,0xbf800000,2 +np.float32,0x4216cbe4,0x3f800000,2 +np.float32,0xc216cbe4,0x3f800000,2 +np.float32,0x4296cbe4,0x3f800000,2 +np.float32,0xc296cbe4,0x3f800000,2 +np.float32,0x4316cbe4,0x3f800000,2 +np.float32,0xc316cbe4,0x3f800000,2 +np.float32,0x4219f024,0x3f3504d8,2 +np.float32,0xc219f024,0x3f3504d8,2 +np.float32,0x4299f024,0xb69bde6c,2 +np.float32,0xc299f024,0xb69bde6c,2 +np.float32,0x4319f024,0xbf800000,2 +np.float32,0xc319f024,0xbf800000,2 +np.float32,0x421d1463,0xb5455799,2 +np.float32,0xc21d1463,0xb5455799,2 +np.float32,0x429d1463,0xbf800000,2 +np.float32,0xc29d1463,0xbf800000,2 +np.float32,0x431d1463,0x3f800000,2 +np.float32,0xc31d1463,0x3f800000,2 +np.float32,0x422038a3,0xbf350516,2 +np.float32,0xc22038a3,0xbf350516,2 +np.float32,0x42a038a3,0x36c6cd61,2 +np.float32,0xc2a038a3,0x36c6cd61,2 +np.float32,0x432038a3,0xbf800000,2 +np.float32,0xc32038a3,0xbf800000,2 +np.float32,0x42235ce2,0xbf800000,2 +np.float32,0xc2235ce2,0xbf800000,2 +np.float32,0x42a35ce2,0x3f800000,2 +np.float32,0xc2a35ce2,0x3f800000,2 +np.float32,0x43235ce2,0x3f800000,2 +np.float32,0xc3235ce2,0x3f800000,2 +np.float32,0x42268121,0xbf3504f6,2 +np.float32,0xc2268121,0xbf3504f6,2 +np.float32,0x42a68121,0x34e43aac,2 +np.float32,0xc2a68121,0x34e43aac,2 +np.float32,0x43268121,0xbf800000,2 +np.float32,0xc3268121,0xbf800000,2 +np.float32,0x4229a561,0x360733d0,2 +np.float32,0xc229a561,0x360733d0,2 +np.float32,0x42a9a561,0xbf800000,2 +np.float32,0xc2a9a561,0xbf800000,2 +np.float32,0x4329a561,0x3f800000,2 +np.float32,0xc329a561,0x3f800000,2 +np.float32,0x422cc9a0,0x3f3504f8,2 +np.float32,0xc22cc9a0,0x3f3504f8,2 +np.float32,0x42acc9a0,0x35655a50,2 +np.float32,0xc2acc9a0,0x35655a50,2 +np.float32,0x432cc9a0,0xbf800000,2 +np.float32,0xc32cc9a0,0xbf800000,2 +np.float32,0x422fede0,0x3f800000,2 +np.float32,0xc22fede0,0x3f800000,2 +np.float32,0x42afede0,0x3f800000,2 +np.float32,0xc2afede0,0x3f800000,2 +np.float32,0x432fede0,0x3f800000,2 +np.float32,0xc32fede0,0x3f800000,2 +np.float32,0x4233121f,0x3f3504e7,2 +np.float32,0xc233121f,0x3f3504e7,2 +np.float32,0x42b3121f,0xb60f347d,2 +np.float32,0xc2b3121f,0xb60f347d,2 +np.float32,0x4333121f,0xbf800000,2 +np.float32,0xc333121f,0xbf800000,2 +np.float32,0x4236365e,0x350bb91c,2 +np.float32,0xc236365e,0x350bb91c,2 +np.float32,0x42b6365e,0xbf800000,2 +np.float32,0xc2b6365e,0xbf800000,2 +np.float32,0x4336365e,0x3f800000,2 +np.float32,0xc336365e,0x3f800000,2 +np.float32,0x42395a9e,0xbf350507,2 +np.float32,0xc2395a9e,0xbf350507,2 +np.float32,0x42b95a9e,0x36651267,2 +np.float32,0xc2b95a9e,0x36651267,2 +np.float32,0x43395a9e,0xbf800000,2 +np.float32,0xc3395a9e,0xbf800000,2 +np.float32,0x423c7edd,0xbf800000,2 +np.float32,0xc23c7edd,0xbf800000,2 +np.float32,0x42bc7edd,0x3f800000,2 +np.float32,0xc2bc7edd,0x3f800000,2 +np.float32,0x433c7edd,0x3f800000,2 +np.float32,0xc33c7edd,0x3f800000,2 +np.float32,0x423fa31d,0xbf3504d7,2 +np.float32,0xc23fa31d,0xbf3504d7,2 +np.float32,0x42bfa31d,0xb69d7828,2 +np.float32,0xc2bfa31d,0xb69d7828,2 +np.float32,0x433fa31d,0xbf800000,2 +np.float32,0xc33fa31d,0xbf800000,2 +np.float32,0x4242c75c,0x354bbe8a,2 +np.float32,0xc242c75c,0x354bbe8a,2 +np.float32,0x42c2c75c,0xbf800000,2 +np.float32,0xc2c2c75c,0xbf800000,2 +np.float32,0x4342c75c,0x3f800000,2 +np.float32,0xc342c75c,0x3f800000,2 +np.float32,0x4245eb9c,0x3f350517,2 +np.float32,0xc245eb9c,0x3f350517,2 +np.float32,0x42c5eb9c,0x36c8671d,2 +np.float32,0xc2c5eb9c,0x36c8671d,2 +np.float32,0x4345eb9c,0xbf800000,2 +np.float32,0xc345eb9c,0xbf800000,2 +np.float32,0x42490fdb,0x3f800000,2 +np.float32,0xc2490fdb,0x3f800000,2 +np.float32,0x42c90fdb,0x3f800000,2 +np.float32,0xc2c90fdb,0x3f800000,2 +np.float32,0x43490fdb,0x3f800000,2 +np.float32,0xc3490fdb,0x3f800000,2 +np.float32,0x424c341a,0x3f3504f5,2 +np.float32,0xc24c341a,0x3f3504f5,2 +np.float32,0x42cc341a,0x34ca9ee6,2 +np.float32,0xc2cc341a,0x34ca9ee6,2 +np.float32,0x434c341a,0xbf800000,2 +np.float32,0xc34c341a,0xbf800000,2 +np.float32,0x424f585a,0xb608cd8c,2 +np.float32,0xc24f585a,0xb608cd8c,2 +np.float32,0x42cf585a,0xbf800000,2 +np.float32,0xc2cf585a,0xbf800000,2 +np.float32,0x434f585a,0x3f800000,2 +np.float32,0xc34f585a,0x3f800000,2 +np.float32,0x42527c99,0xbf3504f9,2 +np.float32,0xc2527c99,0xbf3504f9,2 +np.float32,0x42d27c99,0x35722833,2 +np.float32,0xc2d27c99,0x35722833,2 +np.float32,0x43527c99,0xbf800000,2 +np.float32,0xc3527c99,0xbf800000,2 +np.float32,0x4255a0d9,0xbf800000,2 +np.float32,0xc255a0d9,0xbf800000,2 +np.float32,0x42d5a0d9,0x3f800000,2 +np.float32,0xc2d5a0d9,0x3f800000,2 +np.float32,0x4355a0d9,0x3f800000,2 +np.float32,0xc355a0d9,0x3f800000,2 +np.float32,0x4258c518,0xbf3504e6,2 +np.float32,0xc258c518,0xbf3504e6,2 +np.float32,0x42d8c518,0xb61267f6,2 +np.float32,0xc2d8c518,0xb61267f6,2 +np.float32,0x4358c518,0xbf800000,2 +np.float32,0xc358c518,0xbf800000,2 +np.float32,0x425be958,0x365eab75,2 +np.float32,0xc25be958,0x365eab75,2 +np.float32,0x42dbe958,0xbf800000,2 +np.float32,0xc2dbe958,0xbf800000,2 +np.float32,0x435be958,0x3f800000,2 +np.float32,0xc35be958,0x3f800000,2 +np.float32,0x425f0d97,0x3f350508,2 +np.float32,0xc25f0d97,0x3f350508,2 +np.float32,0x42df0d97,0x366845e0,2 +np.float32,0xc2df0d97,0x366845e0,2 +np.float32,0x435f0d97,0xbf800000,2 +np.float32,0xc35f0d97,0xbf800000,2 +np.float32,0x426231d6,0x3f800000,2 +np.float32,0xc26231d6,0x3f800000,2 +np.float32,0x42e231d6,0x3f800000,2 +np.float32,0xc2e231d6,0x3f800000,2 +np.float32,0x436231d6,0x3f800000,2 +np.float32,0xc36231d6,0x3f800000,2 +np.float32,0x42655616,0x3f3504d7,2 +np.float32,0xc2655616,0x3f3504d7,2 +np.float32,0x42e55616,0xb69f11e5,2 +np.float32,0xc2e55616,0xb69f11e5,2 +np.float32,0x43655616,0xbf800000,2 +np.float32,0xc3655616,0xbf800000,2 +np.float32,0x42687a55,0xb552257b,2 +np.float32,0xc2687a55,0xb552257b,2 +np.float32,0x42e87a55,0xbf800000,2 +np.float32,0xc2e87a55,0xbf800000,2 +np.float32,0x43687a55,0x3f800000,2 +np.float32,0xc3687a55,0x3f800000,2 +np.float32,0x426b9e95,0xbf350517,2 +np.float32,0xc26b9e95,0xbf350517,2 +np.float32,0x42eb9e95,0x36ca00d9,2 +np.float32,0xc2eb9e95,0x36ca00d9,2 +np.float32,0x436b9e95,0xbf800000,2 +np.float32,0xc36b9e95,0xbf800000,2 +np.float32,0x426ec2d4,0xbf800000,2 +np.float32,0xc26ec2d4,0xbf800000,2 +np.float32,0x42eec2d4,0x3f800000,2 +np.float32,0xc2eec2d4,0x3f800000,2 +np.float32,0x436ec2d4,0x3f800000,2 +np.float32,0xc36ec2d4,0x3f800000,2 +np.float32,0x4271e713,0xbf3504f5,2 +np.float32,0xc271e713,0xbf3504f5,2 +np.float32,0x42f1e713,0x34b10321,2 +np.float32,0xc2f1e713,0x34b10321,2 +np.float32,0x4371e713,0xbf800000,2 +np.float32,0xc371e713,0xbf800000,2 +np.float32,0x42750b53,0x360a6748,2 +np.float32,0xc2750b53,0x360a6748,2 +np.float32,0x42f50b53,0xbf800000,2 +np.float32,0xc2f50b53,0xbf800000,2 +np.float32,0x43750b53,0x3f800000,2 +np.float32,0xc3750b53,0x3f800000,2 +np.float32,0x42782f92,0x3f3504f9,2 +np.float32,0xc2782f92,0x3f3504f9,2 +np.float32,0x42f82f92,0x357ef616,2 +np.float32,0xc2f82f92,0x357ef616,2 +np.float32,0x43782f92,0xbf800000,2 +np.float32,0xc3782f92,0xbf800000,2 +np.float32,0x427b53d2,0x3f800000,2 +np.float32,0xc27b53d2,0x3f800000,2 +np.float32,0x42fb53d2,0x3f800000,2 +np.float32,0xc2fb53d2,0x3f800000,2 +np.float32,0x437b53d2,0x3f800000,2 +np.float32,0xc37b53d2,0x3f800000,2 +np.float32,0x427e7811,0x3f3504e6,2 +np.float32,0xc27e7811,0x3f3504e6,2 +np.float32,0x42fe7811,0xb6159b6f,2 +np.float32,0xc2fe7811,0xb6159b6f,2 +np.float32,0x437e7811,0xbf800000,2 +np.float32,0xc37e7811,0xbf800000,2 +np.float32,0x4280ce28,0x34fdd672,2 +np.float32,0xc280ce28,0x34fdd672,2 +np.float32,0x4300ce28,0xbf800000,2 +np.float32,0xc300ce28,0xbf800000,2 +np.float32,0x4380ce28,0x3f800000,2 +np.float32,0xc380ce28,0x3f800000,2 +np.float32,0x42826048,0xbf350508,2 +np.float32,0xc2826048,0xbf350508,2 +np.float32,0x43026048,0x366b7958,2 +np.float32,0xc3026048,0x366b7958,2 +np.float32,0x43826048,0xbf800000,2 +np.float32,0xc3826048,0xbf800000,2 +np.float32,0x4283f268,0xbf800000,2 +np.float32,0xc283f268,0xbf800000,2 +np.float32,0x4303f268,0x3f800000,2 +np.float32,0xc303f268,0x3f800000,2 +np.float32,0x4383f268,0x3f800000,2 +np.float32,0xc383f268,0x3f800000,2 +np.float32,0x42858487,0xbf350504,2 +np.float32,0xc2858487,0xbf350504,2 +np.float32,0x43058487,0x363ea8be,2 +np.float32,0xc3058487,0x363ea8be,2 +np.float32,0x43858487,0xbf800000,2 +np.float32,0xc3858487,0xbf800000,2 +np.float32,0x428716a7,0x35588c6d,2 +np.float32,0xc28716a7,0x35588c6d,2 +np.float32,0x430716a7,0xbf800000,2 +np.float32,0xc30716a7,0xbf800000,2 +np.float32,0x438716a7,0x3f800000,2 +np.float32,0xc38716a7,0x3f800000,2 +np.float32,0x4288a8c7,0x3f350517,2 +np.float32,0xc288a8c7,0x3f350517,2 +np.float32,0x4308a8c7,0x36cb9a96,2 +np.float32,0xc308a8c7,0x36cb9a96,2 +np.float32,0x4388a8c7,0xbf800000,2 +np.float32,0xc388a8c7,0xbf800000,2 +np.float32,0x428a3ae7,0x3f800000,2 +np.float32,0xc28a3ae7,0x3f800000,2 +np.float32,0x430a3ae7,0x3f800000,2 +np.float32,0xc30a3ae7,0x3f800000,2 +np.float32,0x438a3ae7,0x3f800000,2 +np.float32,0xc38a3ae7,0x3f800000,2 +np.float32,0x428bcd06,0x3f3504f5,2 +np.float32,0xc28bcd06,0x3f3504f5,2 +np.float32,0x430bcd06,0x3497675b,2 +np.float32,0xc30bcd06,0x3497675b,2 +np.float32,0x438bcd06,0xbf800000,2 +np.float32,0xc38bcd06,0xbf800000,2 +np.float32,0x428d5f26,0xb60c0105,2 +np.float32,0xc28d5f26,0xb60c0105,2 +np.float32,0x430d5f26,0xbf800000,2 +np.float32,0xc30d5f26,0xbf800000,2 +np.float32,0x438d5f26,0x3f800000,2 +np.float32,0xc38d5f26,0x3f800000,2 +np.float32,0x428ef146,0xbf350526,2 +np.float32,0xc28ef146,0xbf350526,2 +np.float32,0x430ef146,0x3710bc40,2 +np.float32,0xc30ef146,0x3710bc40,2 +np.float32,0x438ef146,0xbf800000,2 +np.float32,0xc38ef146,0xbf800000,2 +np.float32,0x42908365,0xbf800000,2 +np.float32,0xc2908365,0xbf800000,2 +np.float32,0x43108365,0x3f800000,2 +np.float32,0xc3108365,0x3f800000,2 +np.float32,0x43908365,0x3f800000,2 +np.float32,0xc3908365,0x3f800000,2 +np.float32,0x42921585,0xbf3504e6,2 +np.float32,0xc2921585,0xbf3504e6,2 +np.float32,0x43121585,0xb618cee8,2 +np.float32,0xc3121585,0xb618cee8,2 +np.float32,0x43921585,0xbf800000,2 +np.float32,0xc3921585,0xbf800000,2 +np.float32,0x4293a7a5,0x3661deee,2 +np.float32,0xc293a7a5,0x3661deee,2 +np.float32,0x4313a7a5,0xbf800000,2 +np.float32,0xc313a7a5,0xbf800000,2 +np.float32,0x4393a7a5,0x3f800000,2 +np.float32,0xc393a7a5,0x3f800000,2 +np.float32,0x429539c5,0x3f350536,2 +np.float32,0xc29539c5,0x3f350536,2 +np.float32,0x431539c5,0x373bab34,2 +np.float32,0xc31539c5,0x373bab34,2 +np.float32,0x439539c5,0xbf800000,2 +np.float32,0xc39539c5,0xbf800000,2 +np.float32,0x4296cbe4,0x3f800000,2 +np.float32,0xc296cbe4,0x3f800000,2 +np.float32,0x4316cbe4,0x3f800000,2 +np.float32,0xc316cbe4,0x3f800000,2 +np.float32,0x4396cbe4,0x3f800000,2 +np.float32,0xc396cbe4,0x3f800000,2 +np.float32,0x42985e04,0x3f3504d7,2 +np.float32,0xc2985e04,0x3f3504d7,2 +np.float32,0x43185e04,0xb6a2455d,2 +np.float32,0xc3185e04,0xb6a2455d,2 +np.float32,0x43985e04,0xbf800000,2 +np.float32,0xc3985e04,0xbf800000,2 +np.float32,0x4299f024,0xb69bde6c,2 +np.float32,0xc299f024,0xb69bde6c,2 +np.float32,0x4319f024,0xbf800000,2 +np.float32,0xc319f024,0xbf800000,2 +np.float32,0x4399f024,0x3f800000,2 +np.float32,0xc399f024,0x3f800000,2 +np.float32,0x429b8243,0xbf3504ea,2 +np.float32,0xc29b8243,0xbf3504ea,2 +np.float32,0x431b8243,0xb5cb2eb8,2 +np.float32,0xc31b8243,0xb5cb2eb8,2 +np.float32,0x439b8243,0xbf800000,2 +np.float32,0xc39b8243,0xbf800000,2 +np.float32,0x435b2047,0x3f3504c1,2 +np.float32,0x42a038a2,0xb5e4ca7e,2 +np.float32,0x432038a2,0xbf800000,2 +np.float32,0x4345eb9b,0xbf800000,2 +np.float32,0x42c5eb9b,0xb5de638c,2 +np.float32,0x42eb9e94,0xb5d7fc9b,2 +np.float32,0x4350ea79,0x3631dadb,2 +np.float32,0x42dbe957,0xbf800000,2 +np.float32,0x425be957,0xb505522a,2 +np.float32,0x435be957,0x3f800000,2 +np.float32,0x46027eb2,0x3e7d94c9,2 +np.float32,0x4477baed,0xbe7f1824,2 +np.float32,0x454b8024,0x3e7f5268,2 +np.float32,0x455d2c09,0x3e7f40cb,2 +np.float32,0x4768d3de,0xba14b4af,2 +np.float32,0x46c1e7cd,0x3e7fb102,2 +np.float32,0x44a52949,0xbe7dc9d5,2 +np.float32,0x4454633a,0x3e7dbc7d,2 +np.float32,0x4689810b,0x3e7eb02b,2 +np.float32,0x473473cd,0xbe7eef6f,2 +np.float32,0x44a5193f,0x3e7e1b1f,2 +np.float32,0x46004b36,0x3e7dac59,2 +np.float32,0x467f604b,0x3d7ffd3a,2 +np.float32,0x45ea1805,0x3dffd2e0,2 +np.float32,0x457b6af3,0x3dff7831,2 +np.float32,0x44996159,0xbe7d85f4,2 +np.float32,0x47883553,0xbb80584e,2 +np.float32,0x44e19f0c,0xbdffcfe6,2 +np.float32,0x472b3bf6,0xbe7f7a82,2 +np.float32,0x4600bb4e,0x3a135e33,2 +np.float32,0x449f4556,0x3e7e42e5,2 +np.float32,0x474e9420,0x3dff77b2,2 +np.float32,0x45cbdb23,0x3dff7240,2 +np.float32,0x44222747,0x3dffb039,2 +np.float32,0x4772e419,0xbdff74b8,2 +np.float64,0x1,0x3ff0000000000000,1 +np.float64,0x8000000000000001,0x3ff0000000000000,1 +np.float64,0x10000000000000,0x3ff0000000000000,1 +np.float64,0x8010000000000000,0x3ff0000000000000,1 +np.float64,0x7fefffffffffffff,0xbfefffe62ecfab75,1 +np.float64,0xffefffffffffffff,0xbfefffe62ecfab75,1 +np.float64,0x7ff0000000000000,0xfff8000000000000,1 +np.float64,0xfff0000000000000,0xfff8000000000000,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xbfc28bd9dd2517b4,0x3fefaa28ba13a702,1 +np.float64,0x3fb673c62e2ce790,0x3fefe083847a717f,1 +np.float64,0xbfe3e1dac7e7c3b6,0x3fea0500ba099f3a,1 +np.float64,0xbfbe462caa3c8c58,0x3fefc6c8b9c1c87c,1 +np.float64,0xbfb9353576326a68,0x3fefd8513e50e6b1,1 +np.float64,0xbfc05e798520bcf4,0x3fefbd1ad81cf089,1 +np.float64,0xbfe3ca3be2e79478,0x3fea12b995ea6574,1 +np.float64,0xbfde875d46bd0eba,0x3fec6d888662a824,1 +np.float64,0x3fafc4e02c3f89c0,0x3feff03c34bffd69,1 +np.float64,0xbf98855848310ac0,0x3feffda6c1588bdb,1 +np.float64,0x3fe66c51186cd8a2,0x3fe875c61c630ecb,1 +np.float64,0xbfedff1c3b7bfe38,0x3fe2f0c8c9e8fa39,1 +np.float64,0x3fd6082267ac1044,0x3fee1f6023695050,1 +np.float64,0xbfe78449b06f0894,0x3fe7bda2b223850e,1 +np.float64,0x3feedb8e63fdb71c,0x3fe23d5dfd2dd33f,1 +np.float64,0xbfc0a9de3d2153bc,0x3fefbaadf5e5285e,1 +np.float64,0x3fc04c67432098d0,0x3fefbdae07b7de8d,1 +np.float64,0xbfeeef84c4fddf0a,0x3fe22cf37f309d88,1 +np.float64,0x3fc04bb025209760,0x3fefbdb3d7d34ecf,1 +np.float64,0x3fd6b84d48ad709c,0x3fee013403da6e2a,1 +np.float64,0x3fec1ae25d7835c4,0x3fe46e62195cf274,1 +np.float64,0xbfdc6fdf9bb8dfc0,0x3fece48dc78bbb2e,1 +np.float64,0x3fb4db2c9229b660,0x3fefe4d42f79bf49,1 +np.float64,0xbfc0ed698521dad4,0x3fefb8785ea658c9,1 +np.float64,0xbfee82772b7d04ee,0x3fe2864a80efe8e9,1 +np.float64,0x3fd575b664aaeb6c,0x3fee37c669a12879,1 +np.float64,0x3fe4afb1c5e95f64,0x3fe98b177194439c,1 +np.float64,0x3fd93962f9b272c4,0x3fed8bef61876294,1 +np.float64,0x3fd97ae025b2f5c0,0x3fed7f4cfbf4d300,1 +np.float64,0xbfd9afdb1bb35fb6,0x3fed74fdc44dabb1,1 +np.float64,0x3f8ae65e3035cc80,0x3fefff4b1a0ea62b,1 +np.float64,0xbfe7e58664efcb0d,0x3fe77c02a1cbb670,1 +np.float64,0x3fe5f68b37ebed16,0x3fe8c10f849a5d4d,1 +np.float64,0x3fd9137d61b226fc,0x3fed9330eb4815a1,1 +np.float64,0x3fc146d019228da0,0x3fefb57e2d4d52f8,1 +np.float64,0xbfda6036edb4c06e,0x3fed521b2b578679,1 +np.float64,0xbfe78ddfb0ef1bc0,0x3fe7b734319a77e4,1 +np.float64,0x3fe0877823610ef0,0x3febd33a993dd786,1 +np.float64,0x3fbc61af2e38c360,0x3fefcdb4f889756d,1 +np.float64,0x3fd4dcdca4a9b9b8,0x3fee50962ffea5ae,1 +np.float64,0xbfe03cb29f607965,0x3febf7dbf640a75a,1 +np.float64,0xbfc81de407303bc8,0x3fef6f066cef64bc,1 +np.float64,0x3fd8dea42db1bd48,0x3fed9d3e00dbe0b3,1 +np.float64,0x3feac75e94f58ebe,0x3fe56f1f47f97896,1 +np.float64,0x3fb3a1ea6e2743d0,0x3fefe7ec1247cdaa,1 +np.float64,0x3fd695c0f4ad2b80,0x3fee0730bd40883d,1 +np.float64,0xbfd2c631f5a58c64,0x3feea20cbd1105d7,1 +np.float64,0xbfe978a8e1f2f152,0x3fe663014d40ad7a,1 +np.float64,0x3fd8b6b76ab16d70,0x3feda4c879aacc19,1 +np.float64,0x3feaafd30e755fa6,0x3fe5809514c28453,1 +np.float64,0x3fe1e37dc263c6fc,0x3feb20f9ad1f3f5c,1 +np.float64,0x3fd0ec7c24a1d8f8,0x3feee34048f43b75,1 +np.float64,0xbfe3881cbf67103a,0x3fea38d7886e6f53,1 +np.float64,0xbfd7023957ae0472,0x3fedf4471c765a1c,1 +np.float64,0xbfebc51c4ef78a38,0x3fe4b01c424e297b,1 +np.float64,0xbfe20a93eae41528,0x3feb0c2aa321d2e0,1 +np.float64,0x3fef39be867e737e,0x3fe1efaba9164d27,1 +np.float64,0x3fe8ea9576f1d52a,0x3fe6c7a8826ce1be,1 +np.float64,0x3fea921d91f5243c,0x3fe5968c6cf78963,1 +np.float64,0x3fd7ee5d31afdcbc,0x3fedc9f19d43fe61,1 +np.float64,0xbfe3ed581767dab0,0x3fe9fe4ee2f2b1cd,1 +np.float64,0xbfc40923d5281248,0x3fef9bd8ee9f6e68,1 +np.float64,0x3fe411a834682350,0x3fe9e9103854f057,1 +np.float64,0xbfedf6ccdf7bed9a,0x3fe2f77ad6543246,1 +np.float64,0xbfe8788a44f0f114,0x3fe7172f3aa0c742,1 +np.float64,0xbfce728f173ce520,0x3fef1954083bea04,1 +np.float64,0xbfd64dd0acac9ba2,0x3fee138c3293c246,1 +np.float64,0xbfe00669f5600cd4,0x3fec121443945350,1 +np.float64,0xbfe7152ba2ee2a58,0x3fe8079465d09846,1 +np.float64,0x3fe8654d8f70ca9c,0x3fe7247c94f09596,1 +np.float64,0x3fea68045cf4d008,0x3fe5b58cfe81a243,1 +np.float64,0xbfcd4779073a8ef4,0x3fef2a9d78153fa5,1 +np.float64,0xbfdb4456e5b688ae,0x3fed23b11614203f,1 +np.float64,0x3fcb5d59cd36bab0,0x3fef45818216a515,1 +np.float64,0xbfd914ff5ab229fe,0x3fed92e73746fea8,1 +np.float64,0x3fe4d211db69a424,0x3fe97653f433d15f,1 +np.float64,0xbfdbbb9224b77724,0x3fed0adb593dde80,1 +np.float64,0x3fd424ceafa8499c,0x3fee6d9124795d33,1 +np.float64,0x3feb5968f976b2d2,0x3fe501d116efbf54,1 +np.float64,0x3fee7d92a2fcfb26,0x3fe28a479b6a9dcf,1 +np.float64,0x3fc308e9972611d0,0x3fefa595f4df0c89,1 +np.float64,0x3fda79cd77b4f39c,0x3fed4cf8e69ba1f8,1 +np.float64,0x3fcbcf42d5379e88,0x3fef3f6a6a77c187,1 +np.float64,0x3fe13a1da662743c,0x3feb79504faea888,1 +np.float64,0xbfee4435f07c886c,0x3fe2b8ea98d2fc29,1 +np.float64,0x3fd65d68ccacbad0,0x3fee10e1ac7ada89,1 +np.float64,0x3fef2f89bb7e5f14,0x3fe1f81e882cc3f4,1 +np.float64,0xbfef0a7769fe14ef,0x3fe216bf384fc646,1 +np.float64,0x3fc065277320ca50,0x3fefbce44835c193,1 +np.float64,0x3fe9c1a74d73834e,0x3fe62e9ee0c2f2bf,1 +np.float64,0x3fd9d96e5db3b2dc,0x3fed6cd88eb51f6a,1 +np.float64,0x3fe02bf1c56057e4,0x3febfffc24b5a7ba,1 +np.float64,0xbfd6814350ad0286,0x3fee0ab9ad318b84,1 +np.float64,0x3f9fcbec583f97c0,0x3feffc0d0f1d8e75,1 +np.float64,0x3fe23524e5e46a4a,0x3feaf55372949a06,1 +np.float64,0xbfbdc95f6a3b92c0,0x3fefc89c21d44995,1 +np.float64,0x3fe961bb9cf2c378,0x3fe6735d6e1cca58,1 +np.float64,0xbfe8f1c370f1e387,0x3fe6c29d1be8bee9,1 +np.float64,0x3fd880d43ab101a8,0x3fedaee3c7ccfc96,1 +np.float64,0xbfedb37005fb66e0,0x3fe32d91ef2e3bd3,1 +np.float64,0xfdce287bfb9c5,0x3ff0000000000000,1 +np.float64,0x9aa1b9e735437,0x3ff0000000000000,1 +np.float64,0x6beac6e0d7d59,0x3ff0000000000000,1 +np.float64,0x47457aae8e8b0,0x3ff0000000000000,1 +np.float64,0x35ff13b46bfe3,0x3ff0000000000000,1 +np.float64,0xb9c0c82b73819,0x3ff0000000000000,1 +np.float64,0x1a8dc21a351b9,0x3ff0000000000000,1 +np.float64,0x7e87ef6afd0ff,0x3ff0000000000000,1 +np.float64,0x620a6588c414d,0x3ff0000000000000,1 +np.float64,0x7f366000fe6e,0x3ff0000000000000,1 +np.float64,0x787e39f4f0fc8,0x3ff0000000000000,1 +np.float64,0xf5134f1fea26a,0x3ff0000000000000,1 +np.float64,0xbce700ef79ce0,0x3ff0000000000000,1 +np.float64,0x144d7cc8289b1,0x3ff0000000000000,1 +np.float64,0xb9fbc5b973f79,0x3ff0000000000000,1 +np.float64,0xc3d6292d87ac5,0x3ff0000000000000,1 +np.float64,0xc1084e618210a,0x3ff0000000000000,1 +np.float64,0xb6b9eca56d73e,0x3ff0000000000000,1 +np.float64,0xc7ac4b858f58a,0x3ff0000000000000,1 +np.float64,0x516d75d2a2daf,0x3ff0000000000000,1 +np.float64,0x9dc089d93b811,0x3ff0000000000000,1 +np.float64,0x7b5f2840f6be6,0x3ff0000000000000,1 +np.float64,0x121d3ce8243a9,0x3ff0000000000000,1 +np.float64,0xf0be0337e17c1,0x3ff0000000000000,1 +np.float64,0xff58a5cbfeb15,0x3ff0000000000000,1 +np.float64,0xdaf1d07fb5e3a,0x3ff0000000000000,1 +np.float64,0x61d95382c3b2b,0x3ff0000000000000,1 +np.float64,0xe4df943fc9bf3,0x3ff0000000000000,1 +np.float64,0xf72ac2bdee559,0x3ff0000000000000,1 +np.float64,0x12dafbf625b60,0x3ff0000000000000,1 +np.float64,0xee11d427dc23b,0x3ff0000000000000,1 +np.float64,0xf4f8eb37e9f1e,0x3ff0000000000000,1 +np.float64,0xad7cb5df5af97,0x3ff0000000000000,1 +np.float64,0x59fc9b06b3f94,0x3ff0000000000000,1 +np.float64,0x3c3e65e4787ce,0x3ff0000000000000,1 +np.float64,0xe37bc993c6f79,0x3ff0000000000000,1 +np.float64,0x13bd6330277ad,0x3ff0000000000000,1 +np.float64,0x56cc2800ad986,0x3ff0000000000000,1 +np.float64,0x6203b8fcc4078,0x3ff0000000000000,1 +np.float64,0x75c7c8b8eb8fa,0x3ff0000000000000,1 +np.float64,0x5ebf8e00bd7f2,0x3ff0000000000000,1 +np.float64,0xda81f2f1b503f,0x3ff0000000000000,1 +np.float64,0x6adb17d6d5b64,0x3ff0000000000000,1 +np.float64,0x1ba68eee374d3,0x3ff0000000000000,1 +np.float64,0xeecf6fbbdd9ee,0x3ff0000000000000,1 +np.float64,0x24d6dd8e49add,0x3ff0000000000000,1 +np.float64,0xdf7cb81bbef97,0x3ff0000000000000,1 +np.float64,0xafd7be1b5faf8,0x3ff0000000000000,1 +np.float64,0xdb90ca35b721a,0x3ff0000000000000,1 +np.float64,0xa72903a14e521,0x3ff0000000000000,1 +np.float64,0x14533ee028a7,0x3ff0000000000000,1 +np.float64,0x7951540cf2a2b,0x3ff0000000000000,1 +np.float64,0x22882be045106,0x3ff0000000000000,1 +np.float64,0x136270d626c4f,0x3ff0000000000000,1 +np.float64,0x6a0f5744d41ec,0x3ff0000000000000,1 +np.float64,0x21e0d1aa43c1b,0x3ff0000000000000,1 +np.float64,0xee544155dca88,0x3ff0000000000000,1 +np.float64,0xcbe8aac797d16,0x3ff0000000000000,1 +np.float64,0x6c065e80d80e,0x3ff0000000000000,1 +np.float64,0xe57f0411cafe1,0x3ff0000000000000,1 +np.float64,0xdec3a6bdbd875,0x3ff0000000000000,1 +np.float64,0xf4d23a0fe9a48,0x3ff0000000000000,1 +np.float64,0xda77ef47b4efe,0x3ff0000000000000,1 +np.float64,0x8c405c9b1880c,0x3ff0000000000000,1 +np.float64,0x4eced5149d9db,0x3ff0000000000000,1 +np.float64,0x16b6552c2d6cc,0x3ff0000000000000,1 +np.float64,0x6fbc262cdf785,0x3ff0000000000000,1 +np.float64,0x628c3844c5188,0x3ff0000000000000,1 +np.float64,0x6d827d2cdb050,0x3ff0000000000000,1 +np.float64,0xd1bfdf29a37fc,0x3ff0000000000000,1 +np.float64,0xd85400fdb0a80,0x3ff0000000000000,1 +np.float64,0xcc420b2d98842,0x3ff0000000000000,1 +np.float64,0xac41d21b5883b,0x3ff0000000000000,1 +np.float64,0x432f18d4865e4,0x3ff0000000000000,1 +np.float64,0xe7e89a1bcfd14,0x3ff0000000000000,1 +np.float64,0x9b1141d536228,0x3ff0000000000000,1 +np.float64,0x6805f662d00bf,0x3ff0000000000000,1 +np.float64,0xc76552358ecab,0x3ff0000000000000,1 +np.float64,0x4ae8ffee95d21,0x3ff0000000000000,1 +np.float64,0x4396c096872d9,0x3ff0000000000000,1 +np.float64,0x6e8e55d4dd1cb,0x3ff0000000000000,1 +np.float64,0x4c2e33dc985c7,0x3ff0000000000000,1 +np.float64,0xbce814a579d03,0x3ff0000000000000,1 +np.float64,0x911681b5222d0,0x3ff0000000000000,1 +np.float64,0x5f90a4b2bf215,0x3ff0000000000000,1 +np.float64,0x26f76be84deee,0x3ff0000000000000,1 +np.float64,0xb2f7536165eeb,0x3ff0000000000000,1 +np.float64,0x4de4e6089bc9d,0x3ff0000000000000,1 +np.float64,0xf2e016afe5c03,0x3ff0000000000000,1 +np.float64,0xb9b7b949736f7,0x3ff0000000000000,1 +np.float64,0x3363ea1866c7e,0x3ff0000000000000,1 +np.float64,0xd1a3bd6ba3478,0x3ff0000000000000,1 +np.float64,0xae89f3595d13f,0x3ff0000000000000,1 +np.float64,0xddbd9601bb7c,0x3ff0000000000000,1 +np.float64,0x5de41a06bbc84,0x3ff0000000000000,1 +np.float64,0xfd58c86dfab19,0x3ff0000000000000,1 +np.float64,0x24922e8c49247,0x3ff0000000000000,1 +np.float64,0xcda040339b408,0x3ff0000000000000,1 +np.float64,0x5fe500b2bfca1,0x3ff0000000000000,1 +np.float64,0x9214abb924296,0x3ff0000000000000,1 +np.float64,0x800609fe0a2c13fd,0x3ff0000000000000,1 +np.float64,0x800c7c6fe518f8e0,0x3ff0000000000000,1 +np.float64,0x800a1a9491b4352a,0x3ff0000000000000,1 +np.float64,0x800b45e0e8968bc2,0x3ff0000000000000,1 +np.float64,0x8008497e57d092fd,0x3ff0000000000000,1 +np.float64,0x800b9c0af0173816,0x3ff0000000000000,1 +np.float64,0x800194cccb43299a,0x3ff0000000000000,1 +np.float64,0x8001c91ef183923f,0x3ff0000000000000,1 +np.float64,0x800f25b5ccde4b6c,0x3ff0000000000000,1 +np.float64,0x800ce63ccc79cc7a,0x3ff0000000000000,1 +np.float64,0x800d8fb2e83b1f66,0x3ff0000000000000,1 +np.float64,0x80083cd06f7079a1,0x3ff0000000000000,1 +np.float64,0x800823598e9046b3,0x3ff0000000000000,1 +np.float64,0x8001c1319de38264,0x3ff0000000000000,1 +np.float64,0x800f2b68543e56d1,0x3ff0000000000000,1 +np.float64,0x80022a4f4364549f,0x3ff0000000000000,1 +np.float64,0x800f51badf7ea376,0x3ff0000000000000,1 +np.float64,0x8003fbf31e27f7e7,0x3ff0000000000000,1 +np.float64,0x800d4c00e2fa9802,0x3ff0000000000000,1 +np.float64,0x800023b974804774,0x3ff0000000000000,1 +np.float64,0x800860778990c0ef,0x3ff0000000000000,1 +np.float64,0x800a15c241542b85,0x3ff0000000000000,1 +np.float64,0x8003097d9dc612fc,0x3ff0000000000000,1 +np.float64,0x800d77d8541aefb1,0x3ff0000000000000,1 +np.float64,0x80093804ab52700a,0x3ff0000000000000,1 +np.float64,0x800d2b3bfd7a5678,0x3ff0000000000000,1 +np.float64,0x800da24bcd5b4498,0x3ff0000000000000,1 +np.float64,0x8006eee1c28dddc4,0x3ff0000000000000,1 +np.float64,0x80005137fa40a271,0x3ff0000000000000,1 +np.float64,0x8007a3fbc22f47f8,0x3ff0000000000000,1 +np.float64,0x800dcd97071b9b2e,0x3ff0000000000000,1 +np.float64,0x80065b36048cb66d,0x3ff0000000000000,1 +np.float64,0x8004206ba72840d8,0x3ff0000000000000,1 +np.float64,0x8007e82b98cfd058,0x3ff0000000000000,1 +np.float64,0x8001a116ed23422f,0x3ff0000000000000,1 +np.float64,0x800c69e9ff18d3d4,0x3ff0000000000000,1 +np.float64,0x8003843688e7086e,0x3ff0000000000000,1 +np.float64,0x800335e3b8866bc8,0x3ff0000000000000,1 +np.float64,0x800e3308f0bc6612,0x3ff0000000000000,1 +np.float64,0x8002a9ec55c553d9,0x3ff0000000000000,1 +np.float64,0x80001c2084e03842,0x3ff0000000000000,1 +np.float64,0x800bc2bbd8d78578,0x3ff0000000000000,1 +np.float64,0x800ae6bcc555cd7a,0x3ff0000000000000,1 +np.float64,0x80083f7a13907ef5,0x3ff0000000000000,1 +np.float64,0x800d83ed76db07db,0x3ff0000000000000,1 +np.float64,0x800a12251974244b,0x3ff0000000000000,1 +np.float64,0x800a69c95714d393,0x3ff0000000000000,1 +np.float64,0x800cd5a85639ab51,0x3ff0000000000000,1 +np.float64,0x800e0e1837bc1c31,0x3ff0000000000000,1 +np.float64,0x8007b5ca39ef6b95,0x3ff0000000000000,1 +np.float64,0x800cf961cad9f2c4,0x3ff0000000000000,1 +np.float64,0x80066e8fc14cdd20,0x3ff0000000000000,1 +np.float64,0x8001cb8c7b43971a,0x3ff0000000000000,1 +np.float64,0x800002df68a005c0,0x3ff0000000000000,1 +np.float64,0x8003e6681567ccd1,0x3ff0000000000000,1 +np.float64,0x800b039126b60723,0x3ff0000000000000,1 +np.float64,0x800d2e1b663a5c37,0x3ff0000000000000,1 +np.float64,0x800188b3e2a31169,0x3ff0000000000000,1 +np.float64,0x8001f272e943e4e7,0x3ff0000000000000,1 +np.float64,0x800d7f53607afea7,0x3ff0000000000000,1 +np.float64,0x80092cafa4f25960,0x3ff0000000000000,1 +np.float64,0x800fc009f07f8014,0x3ff0000000000000,1 +np.float64,0x8003da896507b514,0x3ff0000000000000,1 +np.float64,0x800d4d1b4c3a9a37,0x3ff0000000000000,1 +np.float64,0x8007a835894f506c,0x3ff0000000000000,1 +np.float64,0x80057ba0522af741,0x3ff0000000000000,1 +np.float64,0x8009b7054b336e0b,0x3ff0000000000000,1 +np.float64,0x800b2c6c125658d9,0x3ff0000000000000,1 +np.float64,0x8008b1840ad16308,0x3ff0000000000000,1 +np.float64,0x8007ea0e3befd41d,0x3ff0000000000000,1 +np.float64,0x800dd658683bacb1,0x3ff0000000000000,1 +np.float64,0x8008cda48fd19b49,0x3ff0000000000000,1 +np.float64,0x8003acca14c75995,0x3ff0000000000000,1 +np.float64,0x8008bd152d717a2b,0x3ff0000000000000,1 +np.float64,0x80010d1ea3621a3e,0x3ff0000000000000,1 +np.float64,0x800130b78b826170,0x3ff0000000000000,1 +np.float64,0x8002cf3a46e59e75,0x3ff0000000000000,1 +np.float64,0x800b76e7fa76edd0,0x3ff0000000000000,1 +np.float64,0x800e065fe1dc0cc0,0x3ff0000000000000,1 +np.float64,0x8000dd527ea1baa6,0x3ff0000000000000,1 +np.float64,0x80032cb234665965,0x3ff0000000000000,1 +np.float64,0x800affc1acb5ff84,0x3ff0000000000000,1 +np.float64,0x80074be23fee97c5,0x3ff0000000000000,1 +np.float64,0x8004f83eafc9f07e,0x3ff0000000000000,1 +np.float64,0x800b02a115560543,0x3ff0000000000000,1 +np.float64,0x800b324a55766495,0x3ff0000000000000,1 +np.float64,0x800ffbcfd69ff7a0,0x3ff0000000000000,1 +np.float64,0x800830bc7b906179,0x3ff0000000000000,1 +np.float64,0x800cbafe383975fd,0x3ff0000000000000,1 +np.float64,0x8001ee42bfe3dc86,0x3ff0000000000000,1 +np.float64,0x8005b00fdc0b6020,0x3ff0000000000000,1 +np.float64,0x8005e7addd0bcf5c,0x3ff0000000000000,1 +np.float64,0x8001ae4cb0635c9a,0x3ff0000000000000,1 +np.float64,0x80098a9941131533,0x3ff0000000000000,1 +np.float64,0x800334c929466993,0x3ff0000000000000,1 +np.float64,0x8009568239d2ad05,0x3ff0000000000000,1 +np.float64,0x800f0639935e0c73,0x3ff0000000000000,1 +np.float64,0x800cebce7499d79d,0x3ff0000000000000,1 +np.float64,0x800482ee4c2905dd,0x3ff0000000000000,1 +np.float64,0x8007b7bd9e2f6f7c,0x3ff0000000000000,1 +np.float64,0x3fe654469f2ca88d,0x3fe8853f6c01ffb3,1 +np.float64,0x3feb4d7297369ae5,0x3fe50ad5bb621408,1 +np.float64,0x3feef53ba43dea77,0x3fe2283f356f8658,1 +np.float64,0x3fddf564eabbeaca,0x3fec8ec0e0dead9c,1 +np.float64,0x3fd3a69078274d21,0x3fee80e05c320000,1 +np.float64,0x3fecdafe5d39b5fd,0x3fe3d91a5d440fd9,1 +np.float64,0x3fd93286bc32650d,0x3fed8d40696cd10e,1 +np.float64,0x3fc0d34eb821a69d,0x3fefb954023d4284,1 +np.float64,0x3fc7b4b9a02f6973,0x3fef73e8739787ce,1 +np.float64,0x3fe08c839a611907,0x3febd0bc6f5641cd,1 +np.float64,0x3fb3d1758627a2eb,0x3fefe776f6183f96,1 +np.float64,0x3fef93c9ff3f2794,0x3fe1a4d2f622627d,1 +np.float64,0x3fea8d0041351a01,0x3fe59a52a1c78c9e,1 +np.float64,0x3fe3e26a30e7c4d4,0x3fea04ad3e0bbf8d,1 +np.float64,0x3fe5a34c9f6b4699,0x3fe8f57c5ccd1eab,1 +np.float64,0x3fc21ef859243df1,0x3fefae0b68a3a2e7,1 +np.float64,0x3fed7dd585fafbab,0x3fe35860041e5b0d,1 +np.float64,0x3fe5abacf22b575a,0x3fe8f03d8b6ef0f2,1 +np.float64,0x3fe426451f284c8a,0x3fe9dcf21f13205b,1 +np.float64,0x3fc01f6456203ec9,0x3fefbf19e2a8e522,1 +np.float64,0x3fe1cf2772239e4f,0x3feb2bbd645c7697,1 +np.float64,0x3fd18c4ace231896,0x3feecdfdd086c110,1 +np.float64,0x3fe8387d5b7070fb,0x3fe74358f2ec4910,1 +np.float64,0x3fdce51c2239ca38,0x3feccb2ae5459632,1 +np.float64,0x3fe5b0f2e4eb61e6,0x3fe8ecef4dbe4277,1 +np.float64,0x3fe1ceeb08a39dd6,0x3feb2bdd4dcfb3df,1 +np.float64,0x3febc5899d778b13,0x3fe4afc8dd8ad228,1 +np.float64,0x3fe7a47fbe2f48ff,0x3fe7a7fd9b352ea5,1 +np.float64,0x3fe7f74e1fafee9c,0x3fe76feb2755b247,1 +np.float64,0x3fe2bfad04e57f5a,0x3feaa9b46adddaeb,1 +np.float64,0x3fd06a090320d412,0x3feef40c334f8fba,1 +np.float64,0x3fdc97297d392e53,0x3fecdc16a3e22fcb,1 +np.float64,0x3fdc1a3f3838347e,0x3fecf6db2769d404,1 +np.float64,0x3fcca90096395201,0x3fef338156fcd218,1 +np.float64,0x3fed464733fa8c8e,0x3fe38483f0465d91,1 +np.float64,0x3fe7e067d82fc0d0,0x3fe77f7c8c9de896,1 +np.float64,0x3fc014fa0b2029f4,0x3fefbf6d84c933f8,1 +np.float64,0x3fd3bf1524277e2a,0x3fee7d2997b74dec,1 +np.float64,0x3fec153b86782a77,0x3fe472bb5497bb2a,1 +np.float64,0x3fd3e4d9d5a7c9b4,0x3fee776842691902,1 +np.float64,0x3fea6c0e2c74d81c,0x3fe5b2954cb458d9,1 +np.float64,0x3fee8f6a373d1ed4,0x3fe27bb9e348125b,1 +np.float64,0x3fd30c6dd42618dc,0x3fee97d2cab2b0bc,1 +np.float64,0x3fe4f90e6d69f21d,0x3fe95ea3dd4007f2,1 +np.float64,0x3fe271d467e4e3a9,0x3fead470d6d4008b,1 +np.float64,0x3fef2983897e5307,0x3fe1fd1a4debe33b,1 +np.float64,0x3fe980cc83b30199,0x3fe65d2fb8a0eb46,1 +np.float64,0x3fdfdf53db3fbea8,0x3fec1cf95b2a1cc7,1 +np.float64,0x3fe4d5307ba9aa61,0x3fe974701b4156cb,1 +np.float64,0x3fdb4e2345b69c47,0x3fed21aa6c146512,1 +np.float64,0x3fe3f7830327ef06,0x3fe9f85f6c88c2a8,1 +np.float64,0x3fca915fb63522bf,0x3fef502b73a52ecf,1 +np.float64,0x3fe66d3709ecda6e,0x3fe87531d7372d7a,1 +np.float64,0x3fd86000bcb0c001,0x3fedb5018dd684ca,1 +np.float64,0x3fe516e5feea2dcc,0x3fe94c68b111404e,1 +np.float64,0x3fd83c53dd3078a8,0x3fedbb9e5dd9e165,1 +np.float64,0x3fedfeeb673bfdd7,0x3fe2f0f0253c5d5d,1 +np.float64,0x3fe0dc6f9c21b8df,0x3feba8e2452410c2,1 +np.float64,0x3fbe154d643c2a9b,0x3fefc780a9357457,1 +np.float64,0x3fe5f63986abec73,0x3fe8c1434951a40a,1 +np.float64,0x3fbce0e50839c1ca,0x3fefcbeeaa27de75,1 +np.float64,0x3fd7ef5c5c2fdeb9,0x3fedc9c3022495b3,1 +np.float64,0x3fc1073914220e72,0x3fefb79de80fc0fd,1 +np.float64,0x3fe1a93c3d235278,0x3feb3fb21f86ac67,1 +np.float64,0x3fe321ee53e643dd,0x3fea72e2999f1e22,1 +np.float64,0x3fa881578c3102af,0x3feff69e6e51e0d6,1 +np.float64,0x3fd313482a262690,0x3fee96d161199495,1 +np.float64,0x3fe7272cd6ae4e5a,0x3fe7fbacbd0d8f43,1 +np.float64,0x3fd6cf4015ad9e80,0x3fedfd3513d544b8,1 +np.float64,0x3fc67b7e6d2cf6fd,0x3fef81f5c16923a4,1 +np.float64,0x3fa1999c14233338,0x3feffb2913a14184,1 +np.float64,0x3fc74eb8dd2e9d72,0x3fef78909a138e3c,1 +np.float64,0x3fc0b9274921724f,0x3fefba2ebd5f3e1c,1 +np.float64,0x3fd53fa156aa7f43,0x3fee40a18e952e88,1 +np.float64,0x3feaccbca4b59979,0x3fe56b22b33eb713,1 +np.float64,0x3fe6a01e3a2d403c,0x3fe8543fbd820ecc,1 +np.float64,0x3fd392a869a72551,0x3fee83e0ffe0e8de,1 +np.float64,0x3fe44d8928689b12,0x3fe9c5bf3c8fffdb,1 +np.float64,0x3fca3f209f347e41,0x3fef5461b6fa0924,1 +np.float64,0x3fee9e84b07d3d09,0x3fe26f638f733549,1 +np.float64,0x3faf49acb03e9359,0x3feff0b583cd8c48,1 +np.float64,0x3fea874b2af50e96,0x3fe59e882fa6febf,1 +np.float64,0x3fc50b72772a16e5,0x3fef918777dc41be,1 +np.float64,0x3fe861d1d4f0c3a4,0x3fe726e44d9d42c2,1 +np.float64,0x3fcadd2e2535ba5c,0x3fef4c3e2b56da38,1 +np.float64,0x3fea59c29cb4b385,0x3fe5c0043e586439,1 +np.float64,0x3fc1ffef0d23ffde,0x3fefaf22be452d13,1 +np.float64,0x3fc2d8dbc125b1b8,0x3fefa75b646d8e4e,1 +np.float64,0x3fd66c6471acd8c9,0x3fee0e5038b895c0,1 +np.float64,0x3fd0854adfa10a96,0x3feef0945bcc5c99,1 +np.float64,0x3feaac7076f558e1,0x3fe58316c23a82ad,1 +np.float64,0x3fdda49db3bb493b,0x3feca0e347c0ad6f,1 +np.float64,0x3fe43a539de874a7,0x3fe9d11d722d4822,1 +np.float64,0x3feeee3ebbfddc7d,0x3fe22dffd251e9af,1 +np.float64,0x3f8ee2c5b03dc58b,0x3fefff11855a7b6c,1 +np.float64,0x3fcd7107c63ae210,0x3fef2840bb55ca52,1 +np.float64,0x3f8d950d203b2a1a,0x3fefff253a08e40e,1 +np.float64,0x3fd40a5e57a814bd,0x3fee71a633c761fc,1 +np.float64,0x3fee836ec83d06de,0x3fe28580975be2fd,1 +np.float64,0x3fd7bbe87f2f77d1,0x3fedd31f661890cc,1 +np.float64,0xbfe05bf138a0b7e2,0x3febe8a000d96e47,1 +np.float64,0xbf88bddd90317bc0,0x3fefff66f6e2ff26,1 +np.float64,0xbfdc9cbb12393976,0x3fecdae2982335db,1 +np.float64,0xbfd85b4eccb0b69e,0x3fedb5e0dd87f702,1 +np.float64,0xbfe5c326cb2b864e,0x3fe8e180f525fa12,1 +np.float64,0xbfe381a0e4a70342,0x3fea3c8e5e3ab78e,1 +np.float64,0xbfe58d892c2b1b12,0x3fe9031551617aed,1 +np.float64,0xbfd7f3a52cafe74a,0x3fedc8fa97edd080,1 +np.float64,0xbfef3417bc7e682f,0x3fe1f45989f6a009,1 +np.float64,0xbfddfb8208bbf704,0x3fec8d5fa9970773,1 +np.float64,0xbfdab69bcc356d38,0x3fed40b2f6c347c6,1 +np.float64,0xbfed3f7cf17a7efa,0x3fe389e4ff4d9235,1 +np.float64,0xbfe47675d9a8ecec,0x3fe9ad6829a69e94,1 +np.float64,0xbfd030e2902061c6,0x3feefb3f811e024f,1 +np.float64,0xbfc376ac7226ed58,0x3fefa1798712b37e,1 +np.float64,0xbfdb7e54a0b6fcaa,0x3fed17a974c4bc28,1 +np.float64,0xbfdb7d5d5736faba,0x3fed17dcf31a8d84,1 +np.float64,0xbf876bd6502ed7c0,0x3fefff76dce6232c,1 +np.float64,0xbfd211e6c02423ce,0x3feebba41f0a1764,1 +np.float64,0xbfb443e3962887c8,0x3fefe658953629d4,1 +np.float64,0xbfe81b09e9b03614,0x3fe757882e4fdbae,1 +np.float64,0xbfdcb905d2b9720c,0x3fecd4c22cfe84e5,1 +np.float64,0xbfe3b62d99276c5b,0x3fea1e5520b3098d,1 +np.float64,0xbfbf05b25c3e0b68,0x3fefc3ecc04bca8e,1 +np.float64,0xbfdedc885b3db910,0x3fec59e22feb49f3,1 +np.float64,0xbfe33aa282667545,0x3fea64f2d55ec471,1 +np.float64,0xbfec84745a3908e9,0x3fe41cb3214e7044,1 +np.float64,0xbfddefdff1bbdfc0,0x3fec8fff88d4d0ec,1 +np.float64,0xbfd26ae6aca4d5ce,0x3feeaf208c7fedf6,1 +np.float64,0xbfee010591fc020b,0x3fe2ef3e57211a5e,1 +np.float64,0xbfb8cfddca319fb8,0x3fefd98d8f7918ed,1 +np.float64,0xbfe991648f3322c9,0x3fe6514e54670bae,1 +np.float64,0xbfee63fd087cc7fa,0x3fe29f1bfa3297cc,1 +np.float64,0xbfe1685942a2d0b2,0x3feb617f5f839eee,1 +np.float64,0xbfc6fc2fd62df860,0x3fef7c4698fd58cf,1 +np.float64,0xbfe42723d3a84e48,0x3fe9dc6ef7243e90,1 +np.float64,0xbfc3a7e89d274fd0,0x3fef9f99e3314e77,1 +np.float64,0xbfeb4c9521f6992a,0x3fe50b7c919bc6d8,1 +np.float64,0xbf707b34e020f680,0x3fefffef05e30264,1 +np.float64,0xbfc078478e20f090,0x3fefbc479305d5aa,1 +np.float64,0xbfd494ac4ca92958,0x3fee5c11f1cd8269,1 +np.float64,0xbfdaf888a035f112,0x3fed3346ae600469,1 +np.float64,0xbfa5d8ed502bb1e0,0x3feff88b0f262609,1 +np.float64,0xbfeec0cbfffd8198,0x3fe253543b2371cb,1 +np.float64,0xbfe594b5986b296b,0x3fe8fe9b39fb3940,1 +np.float64,0xbfc8ece7c631d9d0,0x3fef652bd0611ac7,1 +np.float64,0xbfd8ffeca0b1ffda,0x3fed96ebdf9b65cb,1 +np.float64,0xbfba9b221e353648,0x3fefd3cc21e2f15c,1 +np.float64,0xbfca63a52c34c74c,0x3fef52848eb9ed3b,1 +np.float64,0xbfe588e9b06b11d4,0x3fe905f7403e8881,1 +np.float64,0xbfc76f82db2edf04,0x3fef77138fe9bbc2,1 +np.float64,0xbfeeb3f334bd67e6,0x3fe25ddadb1096d6,1 +np.float64,0xbfbf2b64ce3e56c8,0x3fefc35a9555f6df,1 +np.float64,0xbfe9920e4ff3241c,0x3fe650d4ab8f5c42,1 +np.float64,0xbfb4a54c02294a98,0x3fefe55fc85ae5e9,1 +np.float64,0xbfe353b0c766a762,0x3fea56c02d17e4b7,1 +np.float64,0xbfd99961a4b332c4,0x3fed795fcd00dbf9,1 +np.float64,0xbfef191ddabe323c,0x3fe20aa79524f636,1 +np.float64,0xbfb25d060224ba10,0x3fefeaeee5cc8c0b,1 +np.float64,0xbfe6022428ec0448,0x3fe8b9b46e776194,1 +np.float64,0xbfed1a236cba3447,0x3fe3a76bee0d9861,1 +np.float64,0xbfc59671e72b2ce4,0x3fef8bc4daef6f14,1 +np.float64,0xbfdf2711703e4e22,0x3fec4886a8c9ceb5,1 +np.float64,0xbfeb7e207536fc41,0x3fe4e610c783f168,1 +np.float64,0xbfe6cdf5bcad9bec,0x3fe8365f8a59bc81,1 +np.float64,0xbfe55294adaaa52a,0x3fe927b0af5ccd09,1 +np.float64,0xbfdf4a88913e9512,0x3fec4036df58ba74,1 +np.float64,0xbfebb7efe4376fe0,0x3fe4ba276006992d,1 +np.float64,0xbfe09f29cfa13e54,0x3febc77f4f9c95e7,1 +np.float64,0xbfdf8c75653f18ea,0x3fec30ac924e4f46,1 +np.float64,0xbfefd601c7ffac04,0x3fe16d6f21bcb9c1,1 +np.float64,0xbfeae97ff5f5d300,0x3fe555bb5b87efe9,1 +np.float64,0xbfed427f02fa84fe,0x3fe387830db093bc,1 +np.float64,0xbfa33909cc267210,0x3feffa3a1bcb50dd,1 +np.float64,0xbfe9aa4bf5f35498,0x3fe63f6e98f6aa0f,1 +np.float64,0xbfe2d7349b25ae69,0x3fea9caa7c331e7e,1 +np.float64,0xbfcdbb2a3a3b7654,0x3fef2401c9659e4b,1 +np.float64,0xbfc8a90919315214,0x3fef686fe7fc0513,1 +np.float64,0xbfe62a98df2c5532,0x3fe89ff22a02cc6b,1 +np.float64,0xbfdc0f67b3b81ed0,0x3fecf928b637798f,1 +np.float64,0xbfebb32bf6f76658,0x3fe4bdc893c09698,1 +np.float64,0xbfec067996380cf3,0x3fe47e132741db97,1 +np.float64,0xbfd9774e1d32ee9c,0x3fed7ffe1e87c434,1 +np.float64,0xbfef989890bf3131,0x3fe1a0d025c80cf4,1 +np.float64,0xbfe59887e62b3110,0x3fe8fc382a3d4197,1 +np.float64,0xbfdea0a11e3d4142,0x3fec67b987e236ec,1 +np.float64,0xbfe2ec495825d892,0x3fea90efb231602d,1 +np.float64,0xbfb329c5c2265388,0x3fefe90f1b8209c3,1 +np.float64,0xbfdcd2dcd339a5ba,0x3feccf24c60b1478,1 +np.float64,0xbfe537ea18aa6fd4,0x3fe938237e217fe0,1 +np.float64,0xbfe8675ce170ceba,0x3fe723105925ce3a,1 +np.float64,0xbfd70723acae0e48,0x3fedf369ac070e65,1 +np.float64,0xbfea9d8692b53b0d,0x3fe58e1ee42e3fdb,1 +np.float64,0xbfcfeb96653fd72c,0x3fef029770033bdc,1 +np.float64,0xbfcc06c92d380d94,0x3fef3c69797d9b0a,1 +np.float64,0xbfe16b7c4f62d6f8,0x3feb5fdf9f0a9a07,1 +np.float64,0xbfed4d7a473a9af4,0x3fe37ecee27b1eb7,1 +np.float64,0xbfe6a6f6942d4ded,0x3fe84fccdf762b19,1 +np.float64,0xbfda46d867348db0,0x3fed572d928fa657,1 +np.float64,0xbfdbd9482db7b290,0x3fed049b5f907b52,1 +np.float64,0x7fe992ceb933259c,0xbfeb15af92aad70e,1 +np.float64,0x7fe3069204a60d23,0xbfe5eeff454240e9,1 +np.float64,0x7fe729dbf32e53b7,0xbfefe0528a330e4c,1 +np.float64,0x7fec504fb638a09e,0x3fd288e95dbedf65,1 +np.float64,0x7fe1d30167a3a602,0xbfeffc41f946fd02,1 +np.float64,0x7fed7f8ffd3aff1f,0x3fefe68ec604a19d,1 +np.float64,0x7fd2f23635a5e46b,0x3fea63032efbb447,1 +np.float64,0x7fd4c86db1a990da,0x3fdf6b9f7888db5d,1 +np.float64,0x7fe7554db6eeaa9a,0x3fe1b41476861bb0,1 +np.float64,0x7fe34e823ba69d03,0x3fefc435532e6294,1 +np.float64,0x7fec5c82fef8b905,0x3fef8f0c6473034f,1 +np.float64,0x7feba221bff74442,0xbfea95b81eb19b47,1 +np.float64,0x7fe74808a5ae9010,0xbfd3aa322917c3e5,1 +np.float64,0x7fdf41b7e0be836f,0x3fd14283c7147282,1 +np.float64,0x7fec09892f381311,0x3fe5240376ae484b,1 +np.float64,0x7faaf80bf435f017,0x3fe20227fa811423,1 +np.float64,0x7f8422d8402845b0,0x3fe911714593b8a0,1 +np.float64,0x7fd23a7fada474fe,0x3feff9f40aa37e9c,1 +np.float64,0x7fef4a4806fe948f,0x3fec6eca89cb4a62,1 +np.float64,0x7fe1e71cf763ce39,0xbfea6ac63f9ba457,1 +np.float64,0x7fe3e555be27caaa,0xbfe75b305d0dbbfd,1 +np.float64,0x7fcb8bac96371758,0xbfe8b126077f9d4c,1 +np.float64,0x7fc98e2c84331c58,0x3fef9092eb0bc85a,1 +np.float64,0x7fe947cf2b728f9d,0xbfebfff2c5b7d198,1 +np.float64,0x7feee8058c3dd00a,0xbfef21ebaae2eb17,1 +np.float64,0x7fef61d8d5bec3b1,0xbfdf1a032fb1c864,1 +np.float64,0x7fcf714b6f3ee296,0x3fe6fc89a8084098,1 +np.float64,0x7fa9a8b44c335168,0xbfeb16c149cea943,1 +np.float64,0x7fd175c482a2eb88,0xbfef64d341e73f88,1 +np.float64,0x7feab8e6a87571cc,0x3feb10069c397464,1 +np.float64,0x7fe3ade72de75bcd,0x3fd1753e333d5790,1 +np.float64,0x7fb26d87d224db0f,0xbfe753d36b18f4ca,1 +np.float64,0x7fdb7ef159b6fde2,0x3fe5c0a6044d3607,1 +np.float64,0x7fd5af86422b5f0c,0x3fe77193c95f6484,1 +np.float64,0x7fee9e00b07d3c00,0x3fe864d494596845,1 +np.float64,0x7fef927a147f24f3,0xbfe673b14715693d,1 +np.float64,0x7fd0aea63c215d4b,0xbfeff435f119fce9,1 +np.float64,0x7fd02e3796a05c6e,0x3fe4f7e3706e9a3d,1 +np.float64,0x7fd3ed61da27dac3,0xbfefef2f057f168c,1 +np.float64,0x7fefaca0d4ff5941,0x3fd3e8ad205cd4ab,1 +np.float64,0x7feb659e06f6cb3b,0x3fd64d803203e027,1 +np.float64,0x7fc94ccfaf32999e,0x3fee04922209369a,1 +np.float64,0x7feb4ec294f69d84,0xbfd102763a056c89,1 +np.float64,0x7fe2ada6ac655b4c,0x3fef4f6792aa6093,1 +np.float64,0x7fe5f40fdc2be81f,0xbfb4a6327186eee8,1 +np.float64,0x7fe7584bc3eeb097,0xbfd685b8ff94651d,1 +np.float64,0x7fe45d276be8ba4e,0x3fee53b13f7e442f,1 +np.float64,0x7fe6449b3d6c8935,0xbfe7e08bafa75251,1 +np.float64,0x7f8d62e6b03ac5cc,0x3fe73d30762f38fd,1 +np.float64,0x7fe3a76f72a74ede,0xbfeb48a28bc60968,1 +np.float64,0x7fd057706920aee0,0x3fdece8fa06f626c,1 +np.float64,0x7fe45ae158e8b5c2,0x3fe7a70f47b4d349,1 +np.float64,0x7fea8a5a983514b4,0x3fefb053d5f9ddd7,1 +np.float64,0x7fdd1e86ab3a3d0c,0x3fe3cded1b93816b,1 +np.float64,0x7fdb456108b68ac1,0xbfe37574c0b9bf8f,1 +np.float64,0x7fe972602432e4bf,0x3fef9a26e65ec01c,1 +np.float64,0x7fdbe2385637c470,0x3fed541df57969e1,1 +np.float64,0x7fe57f03602afe06,0x3fbd90f595cbbd94,1 +np.float64,0x7feb0ceb68f619d6,0xbfeae9cb8ee5261f,1 +np.float64,0x7fe6abfe6c6d57fc,0xbfef40a6edaca26f,1 +np.float64,0x7fe037ea08606fd3,0xbfda817d75858597,1 +np.float64,0x7fdd75a52dbaeb49,0x3feef2a0d91d6aa1,1 +np.float64,0x7fe8f9af66b1f35e,0xbfedfceef2a3bfc9,1 +np.float64,0x7fedf762b53beec4,0x3fd8b4f21ef69ee3,1 +np.float64,0x7fe99295b7f3252a,0x3feffc24d970383e,1 +np.float64,0x7fe797b0172f2f5f,0x3fee089aa56f7ce8,1 +np.float64,0x7fed89dcc97b13b9,0xbfcfa2bb0c3ea41f,1 +np.float64,0x7fae9e8d5c3d3d1a,0xbfe512ffe16c6b08,1 +np.float64,0x7fefaecbe27f5d97,0x3fbfc718a5e972f1,1 +np.float64,0x7fce0236d93c046d,0xbfa9b7cd790db256,1 +np.float64,0x7fa9689aac32d134,0x3feced501946628a,1 +np.float64,0x7feb1469e93628d3,0x3fef2a988e7673ed,1 +np.float64,0x7fdba78344b74f06,0xbfe092e78965b30c,1 +np.float64,0x7fece54c3fb9ca97,0x3fd3cfd184bed2e6,1 +np.float64,0x7fdb84212b370841,0xbfe25ebf2db6ee55,1 +np.float64,0x7fbe3e8bf23c7d17,0x3fe2ee72df573345,1 +np.float64,0x7fe43d9803687b2f,0xbfed2eff6a9e66a0,1 +np.float64,0x7fb0f9c00a21f37f,0x3feff70f3276fdb7,1 +np.float64,0x7fea0c6cbbb418d8,0xbfefa612494798b2,1 +np.float64,0x7fe4b3239e296646,0xbfe74dd959af8cdc,1 +np.float64,0x7fe5c6a773eb8d4e,0xbfd06944048f8d2b,1 +np.float64,0x7fb1c1278223824e,0xbfeb533a34655bde,1 +np.float64,0x7fd21c09ee243813,0xbfe921ccbc9255c3,1 +np.float64,0x7fe051020c20a203,0x3fbd519d700c1f2f,1 +np.float64,0x7fe0c76845e18ed0,0x3fefb9595191a31b,1 +np.float64,0x7fe6b0b57b6d616a,0xbf8c59a8ba5fcd9a,1 +np.float64,0x7fd386c460270d88,0x3fe8ffea5d1a5c46,1 +np.float64,0x7feeb884713d7108,0x3fee9b2247ef6c0d,1 +np.float64,0x7fd85f71b6b0bee2,0xbfefc30ec3e28f07,1 +np.float64,0x7fc341366426826c,0x3fd4234d35386d3b,1 +np.float64,0x7fe56482dd6ac905,0x3fe7189de6a50668,1 +np.float64,0x7fec67a2e3f8cf45,0xbfef86d0b940f37f,1 +np.float64,0x7fe38b202fe7163f,0x3feb90b75caa2030,1 +np.float64,0x7fdcbc64883978c8,0x3fed4f758fbf64d4,1 +np.float64,0x7fea5f0598f4be0a,0x3fdd503a417b3d4d,1 +np.float64,0x7fda3b6bcf3476d7,0x3fea6e9af3f7f9f5,1 +np.float64,0x7fc7d7896c2faf12,0x3fda2bebc36a2363,1 +np.float64,0x7fe7e8e2626fd1c4,0xbfe7d5e390c4cc3f,1 +np.float64,0x7fde0f3d7abc1e7a,0xbfede7a0ecfa3606,1 +np.float64,0x7fc692b8f52d2571,0x3feff0cd7ab6f61b,1 +np.float64,0xff92d1fce825a400,0xbfc921c36fc014fa,1 +np.float64,0xffdec3af2fbd875e,0xbfed6a77e6a0364e,1 +np.float64,0xffef46e7d9be8dcf,0xbfed7d39476f7e27,1 +np.float64,0xffe2c2ce4525859c,0x3fe1757261316bc9,1 +np.float64,0xffe27c8b5864f916,0xbfefe017c0d43457,1 +np.float64,0xffe184d7442309ae,0x3fa1fb8c49dba596,1 +np.float64,0xffddf5f98d3bebf4,0x3fee4f8eaa5f847e,1 +np.float64,0xffee3ef354fc7de6,0xbfebfd60fa51b2ba,1 +np.float64,0xffdecb3e85bd967e,0x3fbfad2667a8b468,1 +np.float64,0xffe4ee900b29dd20,0xbfdc02dc626f91cd,1 +np.float64,0xffd3179f6da62f3e,0xbfe2cfe442511776,1 +np.float64,0xffe99ef7cef33def,0x3f50994542a7f303,1 +np.float64,0xffe2b66b1ae56cd6,0xbfefe3e066eb6329,1 +np.float64,0xff8f72aff03ee540,0x3fe9c46224cf5003,1 +np.float64,0xffd29beb85a537d8,0x3fefcb0b6166be71,1 +np.float64,0xffaef02d4c3de060,0xbfef5fb71028fc72,1 +np.float64,0xffd39a2a89273456,0x3fe6d4b183205dca,1 +np.float64,0xffef8a9392ff1526,0x3fedb99fbf402468,1 +np.float64,0xffb9b3f31e3367e8,0x3fee1005270fcf80,1 +np.float64,0xffed9d5c693b3ab8,0x3fd110f4b02365d5,1 +np.float64,0xffeaba45f9f5748b,0x3fe499e0a6f4afb2,1 +np.float64,0xffdba3f70d3747ee,0xbfca0c30493ae519,1 +np.float64,0xffa35b985426b730,0xbfdb625df56bcf45,1 +np.float64,0xffccbc9728397930,0x3fc53cbc59020704,1 +np.float64,0xffef73c942bee792,0xbfdc647a7a5e08be,1 +np.float64,0xffcb5acfb236b5a0,0x3feeb4ec038c39fc,1 +np.float64,0xffea116fe2b422df,0x3fefe03b6ae0b435,1 +np.float64,0xffe97de6e7b2fbcd,0xbfd2025698fab9eb,1 +np.float64,0xffdddba314bbb746,0x3fd31f0fdb8f93be,1 +np.float64,0xffd613a24a2c2744,0xbfebbb1efae884b3,1 +np.float64,0xffe3d938aa67b271,0xbfc2099cead3d3be,1 +np.float64,0xffdf08c2e33e1186,0xbfefd236839b900d,1 +np.float64,0xffea6ba8bd34d751,0x3fe8dfc032114719,1 +np.float64,0xffe3202083e64040,0x3fed513b81432a22,1 +np.float64,0xffb2397db62472f8,0xbfee7d7fe1c3f76c,1 +np.float64,0xffd9d0682ab3a0d0,0x3fe0bcf9e531ad79,1 +np.float64,0xffc293df202527c0,0xbfe58d0bdece5e64,1 +np.float64,0xffe1422c7da28458,0xbf81bd72595f2341,1 +np.float64,0xffd64e4ed4ac9c9e,0x3fa4334cc011c703,1 +np.float64,0xffe40a970ae8152e,0x3fead3d258b55b7d,1 +np.float64,0xffc8c2f2223185e4,0xbfef685f07c8b9fd,1 +np.float64,0xffe4b2f7216965ee,0x3fe3861d3d896a83,1 +np.float64,0xffdb531db3b6a63c,0x3fe18cb8332dd59d,1 +np.float64,0xffe8e727a3b1ce4e,0xbfe57b15abb677b9,1 +np.float64,0xffe530c1e12a6184,0xbfb973ea5535e48f,1 +np.float64,0xffe6f7849cedef08,0x3fd39a37ec5af4b6,1 +np.float64,0xffead62a78b5ac54,0x3fe69b3f6c7aa24b,1 +np.float64,0xffeefdd725fdfbad,0xbfc08a456111fdd5,1 +np.float64,0xffe682182fed0430,0x3fecc7c1292761d2,1 +np.float64,0xffee0ca8dcbc1951,0x3fef6cc361ef2c19,1 +np.float64,0xffec9b338f393666,0x3fefa9ab8e0471b5,1 +np.float64,0xffe13c5e29a278bc,0xbfef8da74ad83398,1 +np.float64,0xffd7bd48c62f7a92,0x3fe3468cd4ac9d34,1 +np.float64,0xffedd0ed14bba1d9,0xbfd563a83477077b,1 +np.float64,0xffe86b83f3f0d707,0x3fe9eb3c658e4b2d,1 +np.float64,0xffd6a4db4bad49b6,0xbfc7e11276166e17,1 +np.float64,0xffc29e8404253d08,0x3fd35971961c789f,1 +np.float64,0xffe27cf3d664f9e7,0xbfeca0f73c72f810,1 +np.float64,0xffc34152352682a4,0x3fef384e564c002c,1 +np.float64,0xffe395728ba72ae4,0x3f8fe18c2de86eba,1 +np.float64,0xffed86c4fbbb0d89,0x3fef709db881c672,1 +np.float64,0xffe8a98d37f1531a,0x3fd4879c8f73c3dc,1 +np.float64,0xffb8ce9fea319d40,0xbfb853c8fe46b08d,1 +np.float64,0xffe7f26db8efe4db,0xbfec1cfd3e5c2ac1,1 +np.float64,0xffd7935b77af26b6,0x3fb7368c89b2a460,1 +np.float64,0xffc5840ed02b081c,0x3fd92220b56631f3,1 +np.float64,0xffc36a873926d510,0x3fa84d61baf61811,1 +np.float64,0xffe06ea583e0dd4a,0x3feb647e348b9e39,1 +np.float64,0xffe6a33031ed4660,0xbfe096b851dc1a0a,1 +np.float64,0xffe001c938e00392,0x3fe4eece77623e7a,1 +np.float64,0xffc1e4f23b23c9e4,0xbfdb9bb1f83f6ac4,1 +np.float64,0xffecd3ecbab9a7d9,0x3fbafb1f800f177d,1 +np.float64,0xffc2d3016825a604,0xbfef650e8b0d6afb,1 +np.float64,0xffe222cb68e44596,0x3fde3690e44de5bd,1 +np.float64,0xffe5bb145e2b7628,0x3fedbb98e23c9dc1,1 +np.float64,0xffe9e5823b73cb04,0xbfee41661016c03c,1 +np.float64,0xffd234a00ba46940,0x3fda0312cda580c2,1 +np.float64,0xffe0913ed6e1227d,0xbfed508bb529bd23,1 +np.float64,0xffe8e3596171c6b2,0xbfdc33e1c1d0310e,1 +np.float64,0xffef9c6835ff38cf,0x3fea8ce6d27dfba3,1 +np.float64,0xffdd3bcf66ba779e,0x3fe50523d2b6470e,1 +np.float64,0xffe57e8cf06afd1a,0xbfee600933347247,1 +np.float64,0xffe0d8c65fa1b18c,0x3fe75091f93d5e4c,1 +np.float64,0xffea7c8c16b4f918,0x3fee681724795198,1 +np.float64,0xffe34f7a05269ef4,0xbfe3c3e179676f13,1 +np.float64,0xffd28894a6a5112a,0xbfe5d1027aee615d,1 +np.float64,0xffc73be6f22e77cc,0x3fe469bbc08b472a,1 +np.float64,0xffe7f71b066fee36,0x3fe7ed136c8fdfaa,1 +np.float64,0xffebc13e29f7827c,0x3fefcdc6e677d314,1 +np.float64,0xffd53e9c942a7d3a,0x3fea5a02c7341749,1 +np.float64,0xffd7191b23ae3236,0x3fea419b66023443,1 +np.float64,0xffe9480325b29006,0xbfefeaff5fa38cd5,1 +np.float64,0xffba46dc0e348db8,0xbfefa54f4de28eba,1 +np.float64,0xffdd4cc31eba9986,0x3fe60bb41fe1c4da,1 +np.float64,0xffe13a70dea274e1,0xbfaa9192f7bd6c9b,1 +np.float64,0xffde25127bbc4a24,0x3f7c75f45e29be7d,1 +np.float64,0xffe4076543a80eca,0x3fea5aad50d2f687,1 +np.float64,0xffe61512acec2a25,0xbfefffeb67401649,1 +np.float64,0xffef812ec1ff025d,0xbfe919c7c073c766,1 +np.float64,0xffd5552aeaaaaa56,0x3fc89d38ab047396,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cosh.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cosh.csv new file mode 100644 index 0000000000000000000000000000000000000000..af14d8475fe69c8a973caa598a34eccc610c7e90 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-cosh.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xfe0ac238,0x7f800000,3 +np.float32,0xbf553b86,0x3faf079b,3 +np.float32,0xff4457da,0x7f800000,3 +np.float32,0xff7253f3,0x7f800000,3 +np.float32,0x5a5802,0x3f800000,3 +np.float32,0x3db03413,0x3f80795b,3 +np.float32,0x7f6795c9,0x7f800000,3 +np.float32,0x805b9142,0x3f800000,3 +np.float32,0xfeea581a,0x7f800000,3 +np.float32,0x3f7e2dba,0x3fc472f6,3 +np.float32,0x3d9c4d74,0x3f805f7a,3 +np.float32,0x7f18c665,0x7f800000,3 +np.float32,0x7f003e23,0x7f800000,3 +np.float32,0x3d936fa0,0x3f8054f3,3 +np.float32,0x3f32034f,0x3fa0368e,3 +np.float32,0xff087604,0x7f800000,3 +np.float32,0x380a5,0x3f800000,3 +np.float32,0x3f59694e,0x3fb10077,3 +np.float32,0x3e63e648,0x3f832ee4,3 +np.float32,0x80712f42,0x3f800000,3 +np.float32,0x3e169908,0x3f816302,3 +np.float32,0x3f2d766e,0x3f9e8692,3 +np.float32,0x3d6412e0,0x3f8032d0,3 +np.float32,0xbde689e8,0x3f80cfd4,3 +np.float32,0x483e2e,0x3f800000,3 +np.float32,0xff1ba2d0,0x7f800000,3 +np.float32,0x80136bff,0x3f800000,3 +np.float32,0x3f72534c,0x3fbdc1d4,3 +np.float32,0x3e9eb381,0x3f8632c6,3 +np.float32,0x3e142892,0x3f815795,3 +np.float32,0x0,0x3f800000,3 +np.float32,0x2f2528,0x3f800000,3 +np.float32,0x7f38be13,0x7f800000,3 +np.float32,0xfeee6896,0x7f800000,3 +np.float32,0x7f09095d,0x7f800000,3 +np.float32,0xbe94d,0x3f800000,3 +np.float32,0xbedcf8d4,0x3f8c1b74,3 +np.float32,0xbf694c02,0x3fb8ef07,3 +np.float32,0x3e2261f8,0x3f819cde,3 +np.float32,0xbf01d3ce,0x3f90d0e0,3 +np.float32,0xbeb7b3a2,0x3f8853de,3 +np.float32,0x8046de7b,0x3f800000,3 +np.float32,0xbcb45ea0,0x3f8007f1,3 +np.float32,0x3eef14af,0x3f8e35dd,3 +np.float32,0xbf047316,0x3f91846e,3 +np.float32,0x801cef45,0x3f800000,3 +np.float32,0x3e9ad891,0x3f85e609,3 +np.float32,0xff20e9cf,0x7f800000,3 +np.float32,0x80068434,0x3f800000,3 +np.float32,0xbe253020,0x3f81ab49,3 +np.float32,0x3f13f4b8,0x3f95fac9,3 +np.float32,0x804accd1,0x3f800000,3 +np.float32,0x3dee3e10,0x3f80ddf7,3 +np.float32,0xbe6c4690,0x3f836c29,3 +np.float32,0xff30d431,0x7f800000,3 +np.float32,0xbec82416,0x3f89e791,3 +np.float32,0x3f30bbcb,0x3f9fbbcc,3 +np.float32,0x3f5620a2,0x3faf72b8,3 +np.float32,0x807a8130,0x3f800000,3 +np.float32,0x3e3cb02d,0x3f822de0,3 +np.float32,0xff4839ac,0x7f800000,3 +np.float32,0x800a3e9c,0x3f800000,3 +np.float32,0x3dffd65b,0x3f810002,3 +np.float32,0xbf2b1492,0x3f9da987,3 +np.float32,0xbf21602c,0x3f9a48fe,3 +np.float32,0x512531,0x3f800000,3 +np.float32,0x24b99a,0x3f800000,3 +np.float32,0xbf53e345,0x3fae67b1,3 +np.float32,0xff2126ec,0x7f800000,3 +np.float32,0x7e79b49d,0x7f800000,3 +np.float32,0x3ea3cf04,0x3f869b6f,3 +np.float32,0x7f270059,0x7f800000,3 +np.float32,0x3f625b2f,0x3fb561e1,3 +np.float32,0xbf59947e,0x3fb11519,3 +np.float32,0xfe0d1c64,0x7f800000,3 +np.float32,0xbf3f3eae,0x3fa568e2,3 +np.float32,0x7c04d1,0x3f800000,3 +np.float32,0x7e66bd,0x3f800000,3 +np.float32,0x8011880d,0x3f800000,3 +np.float32,0x3f302f07,0x3f9f8759,3 +np.float32,0x4e3375,0x3f800000,3 +np.float32,0xfe67a134,0x7f800000,3 +np.float32,0xff670249,0x7f800000,3 +np.float32,0x7e19f27d,0x7f800000,3 +np.float32,0xbf36ce12,0x3fa20b81,3 +np.float32,0xbe6bcfc4,0x3f8368b5,3 +np.float32,0x76fcba,0x3f800000,3 +np.float32,0x7f30abaf,0x7f800000,3 +np.float32,0x3f4c1f6d,0x3faae43c,3 +np.float32,0x7f61f44a,0x7f800000,3 +np.float32,0xbf4bb3c9,0x3faab4af,3 +np.float32,0xbda15ee0,0x3f8065c6,3 +np.float32,0xfbb4e800,0x7f800000,3 +np.float32,0x7fa00000,0x7fe00000,3 +np.float32,0x80568501,0x3f800000,3 +np.float32,0xfeb285e4,0x7f800000,3 +np.float32,0x804423a7,0x3f800000,3 +np.float32,0x7e6c0f21,0x7f800000,3 +np.float32,0x7f136b3c,0x7f800000,3 +np.float32,0x3f2d08e6,0x3f9e5e9c,3 +np.float32,0xbf6b454e,0x3fb9f7e6,3 +np.float32,0x3e6bceb0,0x3f8368ad,3 +np.float32,0xff1ad16a,0x7f800000,3 +np.float32,0x7cce1a04,0x7f800000,3 +np.float32,0xff7bcf95,0x7f800000,3 +np.float32,0x8049788d,0x3f800000,3 +np.float32,0x7ec45918,0x7f800000,3 +np.float32,0xff7fffff,0x7f800000,3 +np.float32,0x8039a1a0,0x3f800000,3 +np.float32,0x7e90cd72,0x7f800000,3 +np.float32,0xbf7dfd53,0x3fc456cc,3 +np.float32,0x3eeeb664,0x3f8e2a76,3 +np.float32,0x8055ef9b,0x3f800000,3 +np.float32,0x7ee06ddd,0x7f800000,3 +np.float32,0xba2cc000,0x3f800002,3 +np.float32,0x806da632,0x3f800000,3 +np.float32,0x7ecfaaf5,0x7f800000,3 +np.float32,0x3ddd12e6,0x3f80bf19,3 +np.float32,0xbf754394,0x3fbf60b1,3 +np.float32,0x6f3f19,0x3f800000,3 +np.float32,0x800a9af0,0x3f800000,3 +np.float32,0xfeef13ea,0x7f800000,3 +np.float32,0x7f74841f,0x7f800000,3 +np.float32,0xbeb9a2f0,0x3f888181,3 +np.float32,0x77cbb,0x3f800000,3 +np.float32,0xbf587f84,0x3fb0911b,3 +np.float32,0x210ba5,0x3f800000,3 +np.float32,0x3ee60a28,0x3f8d2367,3 +np.float32,0xbe3731ac,0x3f820dc7,3 +np.float32,0xbee8cfee,0x3f8d765e,3 +np.float32,0x7b2ef179,0x7f800000,3 +np.float32,0xfe81377c,0x7f800000,3 +np.float32,0x6ac98c,0x3f800000,3 +np.float32,0x3f51f144,0x3fad8288,3 +np.float32,0x80785750,0x3f800000,3 +np.float32,0x3f46615a,0x3fa864ff,3 +np.float32,0xbf35ac9e,0x3fa19b8e,3 +np.float32,0x7f0982ac,0x7f800000,3 +np.float32,0x1b2610,0x3f800000,3 +np.float32,0x3ed8bb25,0x3f8ba3df,3 +np.float32,0xbeb41bac,0x3f88006d,3 +np.float32,0xff48e89d,0x7f800000,3 +np.float32,0x3ed0ab8c,0x3f8ac755,3 +np.float32,0xbe64671c,0x3f833282,3 +np.float32,0x64bce4,0x3f800000,3 +np.float32,0x284f79,0x3f800000,3 +np.float32,0x7e09faa7,0x7f800000,3 +np.float32,0x4376c1,0x3f800000,3 +np.float32,0x805ca8c0,0x3f800000,3 +np.float32,0xff0859d5,0x7f800000,3 +np.float32,0xbed2f3b2,0x3f8b04dd,3 +np.float32,0x8045bd0c,0x3f800000,3 +np.float32,0x3f0e6216,0x3f94503f,3 +np.float32,0x3f41e3ae,0x3fa68035,3 +np.float32,0x80088ccc,0x3f800000,3 +np.float32,0x3f37fc19,0x3fa2812f,3 +np.float32,0x71c87d,0x3f800000,3 +np.float32,0x8024f4b2,0x3f800000,3 +np.float32,0xff78dd88,0x7f800000,3 +np.float32,0xbda66c90,0x3f806c40,3 +np.float32,0x7f33ef0d,0x7f800000,3 +np.float32,0x46a343,0x3f800000,3 +np.float32,0xff1dce38,0x7f800000,3 +np.float32,0x1b935d,0x3f800000,3 +np.float32,0x3ebec598,0x3f88fd0e,3 +np.float32,0xff115530,0x7f800000,3 +np.float32,0x803916aa,0x3f800000,3 +np.float32,0xff60a3e2,0x7f800000,3 +np.float32,0x3b8ddd48,0x3f80004f,3 +np.float32,0x3f761b6e,0x3fbfd8ea,3 +np.float32,0xbdf55b88,0x3f80eb70,3 +np.float32,0x37374,0x3f800000,3 +np.float32,0x3de150e0,0x3f80c682,3 +np.float32,0x3f343278,0x3fa10a83,3 +np.float32,0xbe9baefa,0x3f85f68b,3 +np.float32,0x3d8d43,0x3f800000,3 +np.float32,0x3e80994b,0x3f840f0c,3 +np.float32,0xbe573c6c,0x3f82d685,3 +np.float32,0x805b83b4,0x3f800000,3 +np.float32,0x683d88,0x3f800000,3 +np.float32,0x692465,0x3f800000,3 +np.float32,0xbdc345f8,0x3f809511,3 +np.float32,0x3f7c1c5a,0x3fc3406f,3 +np.float32,0xbf40bef3,0x3fa606df,3 +np.float32,0xff1e25b9,0x7f800000,3 +np.float32,0x3e4481e0,0x3f825d37,3 +np.float32,0x75d188,0x3f800000,3 +np.float32,0x3ea53cec,0x3f86b956,3 +np.float32,0xff105a54,0x7f800000,3 +np.float32,0x7f800000,0x7f800000,3 +np.float32,0x7f11f0b0,0x7f800000,3 +np.float32,0xbf58a57d,0x3fb0a328,3 +np.float32,0xbdd11e38,0x3f80aaf8,3 +np.float32,0xbea94adc,0x3f870fa0,3 +np.float32,0x3e9dd780,0x3f862180,3 +np.float32,0xff1786b9,0x7f800000,3 +np.float32,0xfec46aa2,0x7f800000,3 +np.float32,0x7f4300c1,0x7f800000,3 +np.float32,0x29ba2b,0x3f800000,3 +np.float32,0x3f4112e2,0x3fa62993,3 +np.float32,0xbe6c9224,0x3f836e5d,3 +np.float32,0x7f0e42a3,0x7f800000,3 +np.float32,0xff6390ad,0x7f800000,3 +np.float32,0x3f54e374,0x3faede94,3 +np.float32,0x7f2642a2,0x7f800000,3 +np.float32,0x7f46b2be,0x7f800000,3 +np.float32,0xfe59095c,0x7f800000,3 +np.float32,0x7146a0,0x3f800000,3 +np.float32,0x3f07763d,0x3f925786,3 +np.float32,0x3d172780,0x3f801651,3 +np.float32,0xff66f1c5,0x7f800000,3 +np.float32,0xff025349,0x7f800000,3 +np.float32,0x6ce99d,0x3f800000,3 +np.float32,0xbf7e4f50,0x3fc48685,3 +np.float32,0xbeff8ca2,0x3f904708,3 +np.float32,0x3e6c8,0x3f800000,3 +np.float32,0x7f7153dc,0x7f800000,3 +np.float32,0xbedcf612,0x3f8c1b26,3 +np.float32,0xbbc2f180,0x3f800094,3 +np.float32,0xbf397399,0x3fa314b8,3 +np.float32,0x6c6e35,0x3f800000,3 +np.float32,0x7f50a88b,0x7f800000,3 +np.float32,0xfe84093e,0x7f800000,3 +np.float32,0x3f737b9d,0x3fbe6478,3 +np.float32,0x7f6a5340,0x7f800000,3 +np.float32,0xbde83c20,0x3f80d2e7,3 +np.float32,0xff769ce9,0x7f800000,3 +np.float32,0xfdd33c30,0x7f800000,3 +np.float32,0xbc95cb60,0x3f80057a,3 +np.float32,0x8007a40d,0x3f800000,3 +np.float32,0x3f55d90c,0x3faf5132,3 +np.float32,0x80282082,0x3f800000,3 +np.float32,0xbf43b1f2,0x3fa7418c,3 +np.float32,0x3f1dc7cb,0x3f991731,3 +np.float32,0xbd4346a0,0x3f80253f,3 +np.float32,0xbf5aa82a,0x3fb19946,3 +np.float32,0x3f4b8c22,0x3faaa333,3 +np.float32,0x3d13468c,0x3f80152f,3 +np.float32,0x7db77097,0x7f800000,3 +np.float32,0x4a00df,0x3f800000,3 +np.float32,0xbedea5e0,0x3f8c4b64,3 +np.float32,0x80482543,0x3f800000,3 +np.float32,0xbef344fe,0x3f8eb8dd,3 +np.float32,0x7ebd4044,0x7f800000,3 +np.float32,0xbf512c0e,0x3fad287e,3 +np.float32,0x3db28cce,0x3f807c9c,3 +np.float32,0xbd0f5ae0,0x3f801412,3 +np.float32,0xfe7ed9ac,0x7f800000,3 +np.float32,0x3eb1aa82,0x3f87c8b4,3 +np.float32,0xfef1679e,0x7f800000,3 +np.float32,0xff3629f2,0x7f800000,3 +np.float32,0xff3562b4,0x7f800000,3 +np.float32,0x3dcafe1d,0x3f80a118,3 +np.float32,0xfedf242a,0x7f800000,3 +np.float32,0xbf43102a,0x3fa6fda4,3 +np.float32,0x8028834e,0x3f800000,3 +np.float32,0x805c8513,0x3f800000,3 +np.float32,0x3f59306a,0x3fb0e550,3 +np.float32,0x3eda2c9c,0x3f8bcc4a,3 +np.float32,0x80023524,0x3f800000,3 +np.float32,0x7ef72879,0x7f800000,3 +np.float32,0x661c8a,0x3f800000,3 +np.float32,0xfec3ba6c,0x7f800000,3 +np.float32,0x805aaca6,0x3f800000,3 +np.float32,0xff5c1f13,0x7f800000,3 +np.float32,0x3f6ab3f4,0x3fb9ab6b,3 +np.float32,0x3f014896,0x3f90ac20,3 +np.float32,0x3f030584,0x3f91222a,3 +np.float32,0xbf74853d,0x3fbef71d,3 +np.float32,0xbf534ee0,0x3fae2323,3 +np.float32,0x2c90c3,0x3f800000,3 +np.float32,0x7f62ad25,0x7f800000,3 +np.float32,0x1c8847,0x3f800000,3 +np.float32,0x7e2a8d43,0x7f800000,3 +np.float32,0x807a09cd,0x3f800000,3 +np.float32,0x413871,0x3f800000,3 +np.float32,0x80063692,0x3f800000,3 +np.float32,0x3edaf29b,0x3f8be211,3 +np.float32,0xbf64a7ab,0x3fb68b2d,3 +np.float32,0xfe56a720,0x7f800000,3 +np.float32,0xbf54a8d4,0x3faec350,3 +np.float32,0x3ecbaef7,0x3f8a4350,3 +np.float32,0x3f413714,0x3fa63890,3 +np.float32,0x7d3aa8,0x3f800000,3 +np.float32,0xbea9a13c,0x3f8716e7,3 +np.float32,0x7ef7553e,0x7f800000,3 +np.float32,0x8056f29f,0x3f800000,3 +np.float32,0xff1f7ffe,0x7f800000,3 +np.float32,0x3f41953b,0x3fa65f9c,3 +np.float32,0x3daa2f,0x3f800000,3 +np.float32,0xff0893e4,0x7f800000,3 +np.float32,0xbefc7ec6,0x3f8fe207,3 +np.float32,0xbb026800,0x3f800011,3 +np.float32,0x341e4f,0x3f800000,3 +np.float32,0x3e7b708a,0x3f83e0d1,3 +np.float32,0xa18cb,0x3f800000,3 +np.float32,0x7e290239,0x7f800000,3 +np.float32,0xbf4254f2,0x3fa6af62,3 +np.float32,0x80000000,0x3f800000,3 +np.float32,0x3f0a6c,0x3f800000,3 +np.float32,0xbec44d28,0x3f898609,3 +np.float32,0xf841f,0x3f800000,3 +np.float32,0x7f01a693,0x7f800000,3 +np.float32,0x8053340b,0x3f800000,3 +np.float32,0xfd4e7990,0x7f800000,3 +np.float32,0xbf782f1f,0x3fc10356,3 +np.float32,0xbe962118,0x3f858acc,3 +np.float32,0xfe8cd702,0x7f800000,3 +np.float32,0x7ecd986f,0x7f800000,3 +np.float32,0x3ebe775f,0x3f88f59b,3 +np.float32,0x8065524f,0x3f800000,3 +np.float32,0x3ede7fc4,0x3f8c471e,3 +np.float32,0x7f5e15ea,0x7f800000,3 +np.float32,0xbe871ada,0x3f847b78,3 +np.float32,0x3f21958b,0x3f9a5af7,3 +np.float32,0x3f64d480,0x3fb6a1fa,3 +np.float32,0xff18b0e9,0x7f800000,3 +np.float32,0xbf0840dd,0x3f928fd9,3 +np.float32,0x80104f5d,0x3f800000,3 +np.float32,0x643b94,0x3f800000,3 +np.float32,0xbc560a80,0x3f8002cc,3 +np.float32,0x3f5c75d6,0x3fb2786e,3 +np.float32,0x7f365fc9,0x7f800000,3 +np.float32,0x54e965,0x3f800000,3 +np.float32,0x6dcd4d,0x3f800000,3 +np.float32,0x3f2057a0,0x3f99f04d,3 +np.float32,0x272fa3,0x3f800000,3 +np.float32,0xff423dc9,0x7f800000,3 +np.float32,0x80273463,0x3f800000,3 +np.float32,0xfe21cc78,0x7f800000,3 +np.float32,0x7fc00000,0x7fc00000,3 +np.float32,0x802feb65,0x3f800000,3 +np.float32,0x3dc733d0,0x3f809b21,3 +np.float32,0x65d56b,0x3f800000,3 +np.float32,0x80351d8e,0x3f800000,3 +np.float32,0xbf244247,0x3f9b43dd,3 +np.float32,0x7f328e7e,0x7f800000,3 +np.float32,0x7f4d9712,0x7f800000,3 +np.float32,0x2c505d,0x3f800000,3 +np.float32,0xbf232ebe,0x3f9ae5a0,3 +np.float32,0x804a363a,0x3f800000,3 +np.float32,0x80417102,0x3f800000,3 +np.float32,0xbf48b170,0x3fa963d4,3 +np.float32,0x7ea3e3b6,0x7f800000,3 +np.float32,0xbf41415b,0x3fa63cd2,3 +np.float32,0xfe3af7c8,0x7f800000,3 +np.float32,0x7f478010,0x7f800000,3 +np.float32,0x80143113,0x3f800000,3 +np.float32,0x3f7626a7,0x3fbfdf2e,3 +np.float32,0xfea20b0a,0x7f800000,3 +np.float32,0x80144d64,0x3f800000,3 +np.float32,0x7db9ba47,0x7f800000,3 +np.float32,0x7f7fffff,0x7f800000,3 +np.float32,0xbe410834,0x3f8247ef,3 +np.float32,0x14a7af,0x3f800000,3 +np.float32,0x7eaebf9e,0x7f800000,3 +np.float32,0xff800000,0x7f800000,3 +np.float32,0x3f0a7d8e,0x3f9330fd,3 +np.float32,0x3ef780,0x3f800000,3 +np.float32,0x3f62253e,0x3fb546d1,3 +np.float32,0x3f4cbeac,0x3fab2acc,3 +np.float32,0x25db1,0x3f800000,3 +np.float32,0x65c54a,0x3f800000,3 +np.float32,0x800f0645,0x3f800000,3 +np.float32,0x3ed28c78,0x3f8af9f0,3 +np.float32,0x8040c6ce,0x3f800000,3 +np.float32,0x5e4e9a,0x3f800000,3 +np.float32,0xbd3fd2b0,0x3f8023f1,3 +np.float32,0xbf5d2d3f,0x3fb2d1b6,3 +np.float32,0x7ead999f,0x7f800000,3 +np.float32,0xbf30dc86,0x3f9fc805,3 +np.float32,0xff2b0a62,0x7f800000,3 +np.float32,0x3d5180e9,0x3f802adf,3 +np.float32,0x3f62716f,0x3fb56d0d,3 +np.float32,0x7e82ae9c,0x7f800000,3 +np.float32,0xfe2d4bdc,0x7f800000,3 +np.float32,0x805cc7d4,0x3f800000,3 +np.float32,0xfb50f700,0x7f800000,3 +np.float32,0xff57b684,0x7f800000,3 +np.float32,0x80344f01,0x3f800000,3 +np.float32,0x7f2af372,0x7f800000,3 +np.float32,0xfeab6204,0x7f800000,3 +np.float32,0x30b251,0x3f800000,3 +np.float32,0x3eed8cc4,0x3f8e0698,3 +np.float32,0x7eeb1c6a,0x7f800000,3 +np.float32,0x3f17ece6,0x3f9735b0,3 +np.float32,0x21e985,0x3f800000,3 +np.float32,0x3f3a7df3,0x3fa37e34,3 +np.float32,0x802a14a2,0x3f800000,3 +np.float32,0x807d4d5b,0x3f800000,3 +np.float32,0x7f6093ce,0x7f800000,3 +np.float32,0x3f800000,0x3fc583ab,3 +np.float32,0x3da2c26e,0x3f806789,3 +np.float32,0xfe05f278,0x7f800000,3 +np.float32,0x800000,0x3f800000,3 +np.float32,0xbee63342,0x3f8d282e,3 +np.float32,0xbf225586,0x3f9a9bd4,3 +np.float32,0xbed60e86,0x3f8b59ba,3 +np.float32,0xbec99484,0x3f8a0ca3,3 +np.float32,0x3e967c71,0x3f859199,3 +np.float32,0x7f26ab62,0x7f800000,3 +np.float32,0xca7f4,0x3f800000,3 +np.float32,0xbf543790,0x3fae8ebc,3 +np.float32,0x3e4c1ed9,0x3f828d2d,3 +np.float32,0xbdf37f88,0x3f80e7e1,3 +np.float32,0xff0cc44e,0x7f800000,3 +np.float32,0x5dea48,0x3f800000,3 +np.float32,0x31023c,0x3f800000,3 +np.float32,0x3ea10733,0x3f866208,3 +np.float32,0x3e11e6f2,0x3f814d2e,3 +np.float32,0x80641960,0x3f800000,3 +np.float32,0x3ef779a8,0x3f8f3edb,3 +np.float32,0x3f2a5062,0x3f9d632a,3 +np.float32,0x2b7d34,0x3f800000,3 +np.float32,0x3eeb95c5,0x3f8dca67,3 +np.float32,0x805c1357,0x3f800000,3 +np.float32,0x3db3a79d,0x3f807e29,3 +np.float32,0xfded1900,0x7f800000,3 +np.float32,0x45f362,0x3f800000,3 +np.float32,0x451f38,0x3f800000,3 +np.float32,0x801d3ae5,0x3f800000,3 +np.float32,0x458d45,0x3f800000,3 +np.float32,0xfda9d298,0x7f800000,3 +np.float32,0x467439,0x3f800000,3 +np.float32,0x7f66554a,0x7f800000,3 +np.float32,0xfef2375a,0x7f800000,3 +np.float32,0xbf33fc47,0x3fa0f5d7,3 +np.float32,0x3f75ba69,0x3fbfa2d0,3 +np.float32,0xfeb625b2,0x7f800000,3 +np.float32,0x8066b371,0x3f800000,3 +np.float32,0x3f5cb4e9,0x3fb29718,3 +np.float32,0x7f3b6a58,0x7f800000,3 +np.float32,0x7f6b35ea,0x7f800000,3 +np.float32,0xbf6ee555,0x3fbbe5be,3 +np.float32,0x3d836e21,0x3f804380,3 +np.float32,0xff43cd0c,0x7f800000,3 +np.float32,0xff55c1fa,0x7f800000,3 +np.float32,0xbf0dfccc,0x3f9432a6,3 +np.float32,0x3ed92121,0x3f8baf00,3 +np.float32,0x80068cc1,0x3f800000,3 +np.float32,0xff0103f9,0x7f800000,3 +np.float32,0x7e51b175,0x7f800000,3 +np.float32,0x8012f214,0x3f800000,3 +np.float32,0x62d298,0x3f800000,3 +np.float32,0xbf3e1525,0x3fa4ef8d,3 +np.float32,0x806b4882,0x3f800000,3 +np.float32,0xbf38c146,0x3fa2ce7c,3 +np.float32,0xbed59c30,0x3f8b4d70,3 +np.float32,0x3d1910c0,0x3f8016e2,3 +np.float32,0x7f33d55b,0x7f800000,3 +np.float32,0x7f5800e3,0x7f800000,3 +np.float32,0x5b2c5d,0x3f800000,3 +np.float32,0x807be750,0x3f800000,3 +np.float32,0x7eb297c1,0x7f800000,3 +np.float32,0x7dafee62,0x7f800000,3 +np.float32,0x7d9e23f0,0x7f800000,3 +np.float32,0x3e580537,0x3f82dbd8,3 +np.float32,0xbf800000,0x3fc583ab,3 +np.float32,0x7f40f880,0x7f800000,3 +np.float32,0x775ad3,0x3f800000,3 +np.float32,0xbedacd36,0x3f8bddf3,3 +np.float32,0x2138f6,0x3f800000,3 +np.float32,0x52c3b7,0x3f800000,3 +np.float32,0x8041cfdd,0x3f800000,3 +np.float32,0x7bf16791,0x7f800000,3 +np.float32,0xbe95869c,0x3f857f55,3 +np.float32,0xbf199796,0x3f97bcaf,3 +np.float32,0x3ef8da38,0x3f8f6b45,3 +np.float32,0x803f3648,0x3f800000,3 +np.float32,0x80026fd2,0x3f800000,3 +np.float32,0x7eb3ac26,0x7f800000,3 +np.float32,0x3e49921b,0x3f827ce8,3 +np.float32,0xbf689aed,0x3fb892de,3 +np.float32,0x3f253509,0x3f9b9779,3 +np.float32,0xff17894a,0x7f800000,3 +np.float32,0x3cd12639,0x3f800aae,3 +np.float32,0x1db14b,0x3f800000,3 +np.float32,0x39a0bf,0x3f800000,3 +np.float32,0xfdfe1d08,0x7f800000,3 +np.float32,0xff416cd2,0x7f800000,3 +np.float32,0x8070d818,0x3f800000,3 +np.float32,0x3e516e12,0x3f82afb8,3 +np.float32,0x80536651,0x3f800000,3 +np.float32,0xbf2903d2,0x3f9cecb7,3 +np.float32,0x3e896ae4,0x3f84a353,3 +np.float32,0xbd6ba2c0,0x3f80363d,3 +np.float32,0x80126d3e,0x3f800000,3 +np.float32,0xfd9d43d0,0x7f800000,3 +np.float32,0x7b56b6,0x3f800000,3 +np.float32,0xff04718e,0x7f800000,3 +np.float32,0x31440f,0x3f800000,3 +np.float32,0xbf7a1313,0x3fc215c9,3 +np.float32,0x7f43d6a0,0x7f800000,3 +np.float32,0x3f566503,0x3faf92cc,3 +np.float32,0xbf39eb0e,0x3fa343f1,3 +np.float32,0xbe35fd70,0x3f8206df,3 +np.float32,0x800c36ac,0x3f800000,3 +np.float32,0x60d061,0x3f800000,3 +np.float32,0x80453e12,0x3f800000,3 +np.float32,0xfe17c36c,0x7f800000,3 +np.float32,0x3d8c72,0x3f800000,3 +np.float32,0xfe8e9134,0x7f800000,3 +np.float32,0xff5d89de,0x7f800000,3 +np.float32,0x7f45020e,0x7f800000,3 +np.float32,0x3f28225e,0x3f9c9d01,3 +np.float32,0xbf3b6900,0x3fa3dbdd,3 +np.float32,0x80349023,0x3f800000,3 +np.float32,0xbf14d780,0x3f964042,3 +np.float32,0x3f56b5d2,0x3fafb8c3,3 +np.float32,0x800c639c,0x3f800000,3 +np.float32,0x7f7a19c8,0x7f800000,3 +np.float32,0xbf7a0815,0x3fc20f86,3 +np.float32,0xbec55926,0x3f89a06e,3 +np.float32,0x4b2cd2,0x3f800000,3 +np.float32,0xbf271eb2,0x3f9c41c8,3 +np.float32,0xff26e168,0x7f800000,3 +np.float32,0x800166b2,0x3f800000,3 +np.float32,0xbde97e38,0x3f80d532,3 +np.float32,0xbf1f93ec,0x3f99af1a,3 +np.float32,0x7f2896ed,0x7f800000,3 +np.float32,0x3da7d96d,0x3f806e1d,3 +np.float32,0x802b7237,0x3f800000,3 +np.float32,0xfdca6bc0,0x7f800000,3 +np.float32,0xbed2e300,0x3f8b0318,3 +np.float32,0x8079d9e8,0x3f800000,3 +np.float32,0x3f388c81,0x3fa2b9c2,3 +np.float32,0x3ed2607c,0x3f8af54a,3 +np.float32,0xff287de6,0x7f800000,3 +np.float32,0x3f55ed89,0x3faf5ac9,3 +np.float32,0x7f5b6af7,0x7f800000,3 +np.float32,0xbeb24730,0x3f87d698,3 +np.float32,0x1,0x3f800000,3 +np.float32,0x3f3a2350,0x3fa35a3b,3 +np.float32,0x8013b422,0x3f800000,3 +np.float32,0x3e9a6560,0x3f85dd35,3 +np.float32,0x80510631,0x3f800000,3 +np.float32,0xfeae39d6,0x7f800000,3 +np.float32,0x7eb437ad,0x7f800000,3 +np.float32,0x8047545b,0x3f800000,3 +np.float32,0x806a1c71,0x3f800000,3 +np.float32,0xbe5543f0,0x3f82c93b,3 +np.float32,0x40e8d,0x3f800000,3 +np.float32,0x63d18b,0x3f800000,3 +np.float32,0x1fa1ea,0x3f800000,3 +np.float32,0x801944e0,0x3f800000,3 +np.float32,0xbf4c7ac6,0x3fab0cae,3 +np.float32,0x7f2679d4,0x7f800000,3 +np.float32,0x3f0102fc,0x3f9099d0,3 +np.float32,0x7e44bdc1,0x7f800000,3 +np.float32,0xbf2072f6,0x3f99f970,3 +np.float32,0x5c7d38,0x3f800000,3 +np.float32,0x30a2e6,0x3f800000,3 +np.float32,0x805b9ca3,0x3f800000,3 +np.float32,0x7cc24ad5,0x7f800000,3 +np.float32,0x3f4f7920,0x3fac6357,3 +np.float32,0x111d62,0x3f800000,3 +np.float32,0xbf4de40a,0x3fabad77,3 +np.float32,0x805d0354,0x3f800000,3 +np.float32,0xbb3d2b00,0x3f800023,3 +np.float32,0x3ef229e7,0x3f8e960b,3 +np.float32,0x3f15754e,0x3f9670e0,3 +np.float32,0xbf689c6b,0x3fb893a5,3 +np.float32,0xbf3796c6,0x3fa2599b,3 +np.float32,0xbe95303c,0x3f8578f2,3 +np.float32,0xfee330de,0x7f800000,3 +np.float32,0xff0d9705,0x7f800000,3 +np.float32,0xbeb0ebd0,0x3f87b7dd,3 +np.float32,0xbf4d5a13,0x3fab6fe7,3 +np.float32,0x80142f5a,0x3f800000,3 +np.float32,0x7e01a87b,0x7f800000,3 +np.float32,0xbe45e5ec,0x3f8265d7,3 +np.float32,0x7f4ac255,0x7f800000,3 +np.float32,0x3ebf6a60,0x3f890ccb,3 +np.float32,0x7f771e16,0x7f800000,3 +np.float32,0x3f41834e,0x3fa6582b,3 +np.float32,0x3f7f6f98,0x3fc52ef0,3 +np.float32,0x7e4ad775,0x7f800000,3 +np.float32,0x3eb39991,0x3f87f4c4,3 +np.float32,0x1e3f4,0x3f800000,3 +np.float32,0x7e84ba19,0x7f800000,3 +np.float32,0x80640be4,0x3f800000,3 +np.float32,0x3f459fc8,0x3fa81272,3 +np.float32,0x3f554ed0,0x3faf109b,3 +np.float32,0x3c6617,0x3f800000,3 +np.float32,0x7f441158,0x7f800000,3 +np.float32,0x7f66e6d8,0x7f800000,3 +np.float32,0x7f565152,0x7f800000,3 +np.float32,0x7f16d550,0x7f800000,3 +np.float32,0xbd4f1950,0x3f8029e5,3 +np.float32,0xcf722,0x3f800000,3 +np.float32,0x3f37d6fd,0x3fa272ad,3 +np.float32,0xff7324ea,0x7f800000,3 +np.float32,0x804bc246,0x3f800000,3 +np.float32,0x7f099ef8,0x7f800000,3 +np.float32,0x5f838b,0x3f800000,3 +np.float32,0x80523534,0x3f800000,3 +np.float32,0x3f595e84,0x3fb0fb50,3 +np.float32,0xfdef8ac8,0x7f800000,3 +np.float32,0x3d9a07,0x3f800000,3 +np.float32,0x410f61,0x3f800000,3 +np.float32,0xbf715dbb,0x3fbd3bcb,3 +np.float32,0xbedd4734,0x3f8c242f,3 +np.float32,0x7e86739a,0x7f800000,3 +np.float32,0x3e81f144,0x3f8424fe,3 +np.float32,0x7f6342d1,0x7f800000,3 +np.float32,0xff6919a3,0x7f800000,3 +np.float32,0xff051878,0x7f800000,3 +np.float32,0x800ba28f,0x3f800000,3 +np.float32,0xfefab3d8,0x7f800000,3 +np.float32,0xff612a84,0x7f800000,3 +np.float32,0x800cd5ab,0x3f800000,3 +np.float32,0x802a07ae,0x3f800000,3 +np.float32,0xfef6ee3a,0x7f800000,3 +np.float32,0x8037e896,0x3f800000,3 +np.float32,0x3ef2d86f,0x3f8eab7d,3 +np.float32,0x3eafe53d,0x3f87a0cb,3 +np.float32,0xba591c00,0x3f800003,3 +np.float32,0x3e9ed028,0x3f863508,3 +np.float32,0x4a12a8,0x3f800000,3 +np.float32,0xbee55c84,0x3f8d0f45,3 +np.float32,0x8038a8d3,0x3f800000,3 +np.float32,0xff055243,0x7f800000,3 +np.float32,0xbf659067,0x3fb701ca,3 +np.float32,0xbee36a86,0x3f8cd5e0,3 +np.float32,0x7f1d74c1,0x7f800000,3 +np.float32,0xbf7657df,0x3fbffaad,3 +np.float32,0x7e37ee34,0x7f800000,3 +np.float32,0xff04bc74,0x7f800000,3 +np.float32,0x806d194e,0x3f800000,3 +np.float32,0x7f5596c3,0x7f800000,3 +np.float32,0xbe09d268,0x3f81293e,3 +np.float32,0x79ff75,0x3f800000,3 +np.float32,0xbf55479c,0x3faf0d3e,3 +np.float32,0xbe5428ec,0x3f82c1d4,3 +np.float32,0x3f624134,0x3fb554d7,3 +np.float32,0x2ccb8a,0x3f800000,3 +np.float32,0xfc082040,0x7f800000,3 +np.float32,0xff315467,0x7f800000,3 +np.float32,0x3e6ea2d2,0x3f837dd5,3 +np.float32,0x8020fdd1,0x3f800000,3 +np.float32,0x7f0416a1,0x7f800000,3 +np.float32,0x710a1b,0x3f800000,3 +np.float32,0x3dfcd050,0x3f80f9fc,3 +np.float32,0xfe995e96,0x7f800000,3 +np.float32,0x3f020d00,0x3f90e006,3 +np.float32,0x8064263e,0x3f800000,3 +np.float32,0xfcee4160,0x7f800000,3 +np.float32,0x801b3a18,0x3f800000,3 +np.float32,0x3f62c984,0x3fb59955,3 +np.float32,0x806e8355,0x3f800000,3 +np.float32,0x7e94f65d,0x7f800000,3 +np.float32,0x1173de,0x3f800000,3 +np.float32,0x3e3ff3b7,0x3f824166,3 +np.float32,0x803b4aea,0x3f800000,3 +np.float32,0x804c5bcc,0x3f800000,3 +np.float32,0x509fe5,0x3f800000,3 +np.float32,0xbf33b5ee,0x3fa0db0b,3 +np.float32,0x3f2ac15c,0x3f9d8ba4,3 +np.float32,0x7f2c54f8,0x7f800000,3 +np.float32,0x7f33d933,0x7f800000,3 +np.float32,0xbf09b2b4,0x3f92f795,3 +np.float32,0x805db8d6,0x3f800000,3 +np.float32,0x6d6e66,0x3f800000,3 +np.float32,0x3ddfea92,0x3f80c40c,3 +np.float32,0xfda719b8,0x7f800000,3 +np.float32,0x5d657f,0x3f800000,3 +np.float32,0xbf005ba3,0x3f906df6,3 +np.float32,0xbf45e606,0x3fa8305c,3 +np.float32,0x5e9fd1,0x3f800000,3 +np.float32,0x8079dc45,0x3f800000,3 +np.float32,0x7e9c40e3,0x7f800000,3 +np.float32,0x6bd5f6,0x3f800000,3 +np.float32,0xbea14a0e,0x3f866761,3 +np.float32,0x7e7323f3,0x7f800000,3 +np.float32,0x7f0c0a79,0x7f800000,3 +np.float32,0xbf7d7aeb,0x3fc40b0f,3 +np.float32,0x437588,0x3f800000,3 +np.float32,0xbf356376,0x3fa17f63,3 +np.float32,0x7f129921,0x7f800000,3 +np.float32,0x7f47a52e,0x7f800000,3 +np.float32,0xba8cb400,0x3f800005,3 +np.float32,0x802284e0,0x3f800000,3 +np.float32,0xbe820f56,0x3f8426ec,3 +np.float32,0x7f2ef6cf,0x7f800000,3 +np.float32,0xbf70a090,0x3fbcd501,3 +np.float32,0xbf173fea,0x3f96ff6d,3 +np.float32,0x3e19c489,0x3f817224,3 +np.float32,0x7f429b30,0x7f800000,3 +np.float32,0xbdae4118,0x3f8076af,3 +np.float32,0x3e70ad30,0x3f838d41,3 +np.float32,0x335fed,0x3f800000,3 +np.float32,0xff5359cf,0x7f800000,3 +np.float32,0xbf17e42b,0x3f9732f1,3 +np.float32,0xff3a950b,0x7f800000,3 +np.float32,0xbcca70c0,0x3f800a02,3 +np.float32,0x3f2cda62,0x3f9e4dad,3 +np.float32,0x3f50c185,0x3facf805,3 +np.float32,0x80000001,0x3f800000,3 +np.float32,0x807b86d2,0x3f800000,3 +np.float32,0x8010c2cf,0x3f800000,3 +np.float32,0x3f130fb8,0x3f95b519,3 +np.float32,0x807dc546,0x3f800000,3 +np.float32,0xbee20740,0x3f8cad3f,3 +np.float32,0x80800000,0x3f800000,3 +np.float32,0x3cbd90c0,0x3f8008c6,3 +np.float32,0x3e693488,0x3f835571,3 +np.float32,0xbe70cd44,0x3f838e35,3 +np.float32,0xbe348dc8,0x3f81feb1,3 +np.float32,0x3f31ea90,0x3fa02d3f,3 +np.float32,0xfcd7e180,0x7f800000,3 +np.float32,0xbe30a75c,0x3f81e8d0,3 +np.float32,0x3e552c5a,0x3f82c89d,3 +np.float32,0xff513f74,0x7f800000,3 +np.float32,0xbdb16248,0x3f807afd,3 +np.float64,0x7fbbf954e437f2a9,0x7ff0000000000000,1 +np.float64,0x581bbf0cb0379,0x3ff0000000000000,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0xffb959a2a632b348,0x7ff0000000000000,1 +np.float64,0xbfdbd6baebb7ad76,0x3ff189a5ca25a6e1,1 +np.float64,0xbfd094ec9aa129da,0x3ff08a3f6b918065,1 +np.float64,0x3fe236753f646cea,0x3ff2a982660b8b43,1 +np.float64,0xbfe537fadfaa6ff6,0x3ff3a5f1c49c31bf,1 +np.float64,0xbfe31fa7dc663f50,0x3ff2f175374aef0e,1 +np.float64,0x3fc4b6569f296cb0,0x3ff035bde801bb53,1 +np.float64,0x800ce3c00f99c780,0x3ff0000000000000,1 +np.float64,0xbfebcde33e779bc6,0x3ff66de82cd30fc5,1 +np.float64,0x800dc09d3b7b813b,0x3ff0000000000000,1 +np.float64,0x80067d4c450cfa99,0x3ff0000000000000,1 +np.float64,0x1f6ade203ed7,0x3ff0000000000000,1 +np.float64,0xbfd4e311eca9c624,0x3ff0dc1383d6c3db,1 +np.float64,0x800649b3a54c9368,0x3ff0000000000000,1 +np.float64,0xcc14d1ab9829a,0x3ff0000000000000,1 +np.float64,0x3fc290c5bb25218b,0x3ff02b290f46dd6d,1 +np.float64,0x3fe78eb8376f1d70,0x3ff488f3bc259537,1 +np.float64,0xffc60f58e82c1eb0,0x7ff0000000000000,1 +np.float64,0x3fd35666ad26accd,0x3ff0bc6573da6bcd,1 +np.float64,0x7fc20257a62404ae,0x7ff0000000000000,1 +np.float64,0x80076d842e0edb09,0x3ff0000000000000,1 +np.float64,0x3fd8e44b08b1c898,0x3ff139b9a1f8428e,1 +np.float64,0x7fd6f6fc7a2dedf8,0x7ff0000000000000,1 +np.float64,0x3fa01b9f0820373e,0x3ff00206f8ad0f1b,1 +np.float64,0x69ed190ed3da4,0x3ff0000000000000,1 +np.float64,0xbfd997eb34b32fd6,0x3ff14be65a5db4a0,1 +np.float64,0x7feada2d0935b459,0x7ff0000000000000,1 +np.float64,0xbf80987120213100,0x3ff000226d29a9fc,1 +np.float64,0xbfef203e37fe407c,0x3ff82f51f04e8821,1 +np.float64,0xffe3dcf91fa7b9f2,0x7ff0000000000000,1 +np.float64,0x9a367283346cf,0x3ff0000000000000,1 +np.float64,0x800feb09f7bfd614,0x3ff0000000000000,1 +np.float64,0xbfe0319f9520633f,0x3ff217c5205c403f,1 +np.float64,0xbfa91eabd4323d50,0x3ff004ee4347f627,1 +np.float64,0x3fd19cbf7d23397f,0x3ff09c13e8e43571,1 +np.float64,0xffeb8945f0b7128b,0x7ff0000000000000,1 +np.float64,0x800a0eb4f2141d6a,0x3ff0000000000000,1 +np.float64,0xffe83e7312f07ce6,0x7ff0000000000000,1 +np.float64,0xffca53fee834a7fc,0x7ff0000000000000,1 +np.float64,0x800881cbf1710398,0x3ff0000000000000,1 +np.float64,0x80003e6abbe07cd6,0x3ff0000000000000,1 +np.float64,0xbfef6a998afed533,0x3ff859b7852d1b4d,1 +np.float64,0x3fd4eb7577a9d6eb,0x3ff0dcc601261aab,1 +np.float64,0xbfc9c12811338250,0x3ff05331268b05c8,1 +np.float64,0x7fddf84e5e3bf09c,0x7ff0000000000000,1 +np.float64,0xbfd4d6fbbc29adf8,0x3ff0db12db19d187,1 +np.float64,0x80077892bfaef126,0x3ff0000000000000,1 +np.float64,0xffae9d49543d3a90,0x7ff0000000000000,1 +np.float64,0xbfd8bef219317de4,0x3ff136034e5d2f1b,1 +np.float64,0xffe89c74ddb138e9,0x7ff0000000000000,1 +np.float64,0x8003b6bbb7e76d78,0x3ff0000000000000,1 +np.float64,0x315a4e8462b4b,0x3ff0000000000000,1 +np.float64,0x800ee616edddcc2e,0x3ff0000000000000,1 +np.float64,0xdfb27f97bf650,0x3ff0000000000000,1 +np.float64,0x8004723dc328e47c,0x3ff0000000000000,1 +np.float64,0xbfe529500daa52a0,0x3ff3a0b9b33fc84c,1 +np.float64,0xbfe4e46a7ce9c8d5,0x3ff3886ce0f92612,1 +np.float64,0xbf52003680240000,0x3ff00000a203d61a,1 +np.float64,0xffd3400458268008,0x7ff0000000000000,1 +np.float64,0x80076deb444edbd7,0x3ff0000000000000,1 +np.float64,0xa612f6c14c27,0x3ff0000000000000,1 +np.float64,0xbfd41c74c9a838ea,0x3ff0cbe61e16aecf,1 +np.float64,0x43f464a887e8d,0x3ff0000000000000,1 +np.float64,0x800976e748b2edcf,0x3ff0000000000000,1 +np.float64,0xffc79d6ba12f3ad8,0x7ff0000000000000,1 +np.float64,0xffd6dbcb022db796,0x7ff0000000000000,1 +np.float64,0xffd6a9672a2d52ce,0x7ff0000000000000,1 +np.float64,0x3fe95dcfa632bb9f,0x3ff54bbad2ee919e,1 +np.float64,0x3febadd2e1375ba6,0x3ff65e336c47c018,1 +np.float64,0x7fd47c37d828f86f,0x7ff0000000000000,1 +np.float64,0xbfd4ea59e0a9d4b4,0x3ff0dcae6af3e443,1 +np.float64,0x2c112afc58226,0x3ff0000000000000,1 +np.float64,0x8008122bced02458,0x3ff0000000000000,1 +np.float64,0x7fe7105ab3ee20b4,0x7ff0000000000000,1 +np.float64,0x80089634df312c6a,0x3ff0000000000000,1 +np.float64,0x68e9fbc8d1d40,0x3ff0000000000000,1 +np.float64,0xbfec1e1032f83c20,0x3ff69590b9f18ea8,1 +np.float64,0xbfedf181623be303,0x3ff787ef48935dc6,1 +np.float64,0xffe8600457f0c008,0x7ff0000000000000,1 +np.float64,0x7a841ec6f5084,0x3ff0000000000000,1 +np.float64,0x459a572e8b34c,0x3ff0000000000000,1 +np.float64,0x3fe8a232bef14465,0x3ff4fac1780f731e,1 +np.float64,0x3fcb37597d366eb3,0x3ff05cf08ab14ebd,1 +np.float64,0xbfb0261d00204c38,0x3ff00826fb86ca8a,1 +np.float64,0x3fc6e7a6dd2dcf4e,0x3ff041c1222ffa79,1 +np.float64,0xee65dd03dccbc,0x3ff0000000000000,1 +np.float64,0xffe26fdc23e4dfb8,0x7ff0000000000000,1 +np.float64,0x7fe8d6c8cab1ad91,0x7ff0000000000000,1 +np.float64,0xbfeb64bf2676c97e,0x3ff63abb8607828c,1 +np.float64,0x3fd28417b425082f,0x3ff0ac9eb22a732b,1 +np.float64,0xbfd26835b3a4d06c,0x3ff0aa94c48fb6d2,1 +np.float64,0xffec617a01b8c2f3,0x7ff0000000000000,1 +np.float64,0xe1bfff01c3800,0x3ff0000000000000,1 +np.float64,0x3fd4def913a9bdf4,0x3ff0dbbc7271046f,1 +np.float64,0x94f4c17129e98,0x3ff0000000000000,1 +np.float64,0x8009b2eaa33365d6,0x3ff0000000000000,1 +np.float64,0x3fd9633b41b2c678,0x3ff1468388bdfb65,1 +np.float64,0xffe0ae5c80e15cb8,0x7ff0000000000000,1 +np.float64,0x7fdfc35996bf86b2,0x7ff0000000000000,1 +np.float64,0x3fcfc5bdc23f8b7c,0x3ff07ed5caa4545c,1 +np.float64,0xd48b4907a9169,0x3ff0000000000000,1 +np.float64,0xbfe0a2cc52614598,0x3ff2361665895d95,1 +np.float64,0xbfe9068f90720d1f,0x3ff525b82491a1a5,1 +np.float64,0x4238b9208472,0x3ff0000000000000,1 +np.float64,0x800e6b2bf69cd658,0x3ff0000000000000,1 +np.float64,0x7fb638b6ae2c716c,0x7ff0000000000000,1 +np.float64,0x7fe267641764cec7,0x7ff0000000000000,1 +np.float64,0xffc0933d3521267c,0x7ff0000000000000,1 +np.float64,0x7fddfdfb533bfbf6,0x7ff0000000000000,1 +np.float64,0xced2a8e99da55,0x3ff0000000000000,1 +np.float64,0x2a80d5165501b,0x3ff0000000000000,1 +np.float64,0xbfeead2ab63d5a55,0x3ff7eeb5cbcfdcab,1 +np.float64,0x80097f6f92f2fee0,0x3ff0000000000000,1 +np.float64,0x3fee1f29b77c3e54,0x3ff7a0a58c13df62,1 +np.float64,0x3f9d06b8383a0d70,0x3ff001a54a2d8cf8,1 +np.float64,0xbfc8b41d3f31683c,0x3ff04c85379dd6b0,1 +np.float64,0xffd2a04c1e254098,0x7ff0000000000000,1 +np.float64,0xbfb71c01e02e3800,0x3ff010b34220e838,1 +np.float64,0xbfe69249ef6d2494,0x3ff425e48d1e938b,1 +np.float64,0xffefffffffffffff,0x7ff0000000000000,1 +np.float64,0x3feb1d52fbf63aa6,0x3ff618813ae922d7,1 +np.float64,0x7fb8d1a77e31a34e,0x7ff0000000000000,1 +np.float64,0xffc3cfc4ed279f88,0x7ff0000000000000,1 +np.float64,0x2164b9fc42c98,0x3ff0000000000000,1 +np.float64,0x3fbb868cee370d1a,0x3ff017b31b0d4d27,1 +np.float64,0x3fcd6dea583adbd5,0x3ff06cbd16bf44a0,1 +np.float64,0xbfecd041d479a084,0x3ff6efb25f61012d,1 +np.float64,0xbfb0552e6e20aa60,0x3ff00856ca83834a,1 +np.float64,0xe6293cbfcc528,0x3ff0000000000000,1 +np.float64,0x7fba58394034b072,0x7ff0000000000000,1 +np.float64,0x33bc96d467794,0x3ff0000000000000,1 +np.float64,0xffe90ea86bf21d50,0x7ff0000000000000,1 +np.float64,0xbfc626ea6d2c4dd4,0x3ff03d7e01ec3849,1 +np.float64,0x65b56fe4cb6af,0x3ff0000000000000,1 +np.float64,0x3fea409fb7f4813f,0x3ff5b171deab0ebd,1 +np.float64,0x3fe849c1df709384,0x3ff4d59063ff98c4,1 +np.float64,0x169073082d20f,0x3ff0000000000000,1 +np.float64,0xcc8b6add9916e,0x3ff0000000000000,1 +np.float64,0xbfef3d78d5fe7af2,0x3ff83fecc26abeea,1 +np.float64,0x3fe8c65a4a718cb4,0x3ff50a23bfeac7df,1 +np.float64,0x3fde9fa5c8bd3f4c,0x3ff1ddeb12b9d623,1 +np.float64,0xffe2af536da55ea6,0x7ff0000000000000,1 +np.float64,0x800186d0b0c30da2,0x3ff0000000000000,1 +np.float64,0x3fe9ba3c1d737478,0x3ff574ab2bf3a560,1 +np.float64,0xbfe1489c46a29138,0x3ff2641d36b30e21,1 +np.float64,0xbfe4b6b7c0e96d70,0x3ff37880ac8b0540,1 +np.float64,0x800e66ad82fccd5b,0x3ff0000000000000,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0x7febb0fd477761fa,0x7ff0000000000000,1 +np.float64,0xbfdc433f2eb8867e,0x3ff195ec2a6cce27,1 +np.float64,0x3fe12c5a172258b4,0x3ff25c225b8a34bb,1 +np.float64,0xbfef6f116c3ede23,0x3ff85c47eaed49a0,1 +np.float64,0x800af6f60f35edec,0x3ff0000000000000,1 +np.float64,0xffe567999a2acf32,0x7ff0000000000000,1 +np.float64,0xbfc5ac5ae72b58b4,0x3ff03adb50ec04f3,1 +np.float64,0x3fea1b57e23436b0,0x3ff5a06f98541767,1 +np.float64,0x7fcc3e36fb387c6d,0x7ff0000000000000,1 +np.float64,0x8000c8dc698191ba,0x3ff0000000000000,1 +np.float64,0x3fee5085ed7ca10c,0x3ff7bb92f61245b8,1 +np.float64,0x7fbb9f803a373eff,0x7ff0000000000000,1 +np.float64,0xbfe1e5e806e3cbd0,0x3ff2918f2d773007,1 +np.float64,0x8008f8c3f3b1f188,0x3ff0000000000000,1 +np.float64,0x7fe53df515ea7be9,0x7ff0000000000000,1 +np.float64,0x7fdbb87fb3b770fe,0x7ff0000000000000,1 +np.float64,0x3fefcc0f50ff981f,0x3ff89210a6a04e6b,1 +np.float64,0x3fe33f87d0267f10,0x3ff2fb989ea4f2bc,1 +np.float64,0x1173992022e8,0x3ff0000000000000,1 +np.float64,0x3fef534632bea68c,0x3ff84c5ca9713ff9,1 +np.float64,0x3fc5991d552b3238,0x3ff03a72bfdb6e5f,1 +np.float64,0x3fdad90dc1b5b21c,0x3ff16db868180034,1 +np.float64,0xffe20b8078e41700,0x7ff0000000000000,1 +np.float64,0x7fdf409a82be8134,0x7ff0000000000000,1 +np.float64,0x3fccb7e691396fcd,0x3ff06786b6ccdbcb,1 +np.float64,0xffe416e0b7282dc1,0x7ff0000000000000,1 +np.float64,0xffe3a8a981275152,0x7ff0000000000000,1 +np.float64,0x3fd9c8bd31b3917c,0x3ff150ee6f5f692f,1 +np.float64,0xffeab6fef6356dfd,0x7ff0000000000000,1 +np.float64,0x3fe9c5e3faf38bc8,0x3ff579e18c9bd548,1 +np.float64,0x800b173e44762e7d,0x3ff0000000000000,1 +np.float64,0xffe2719db764e33b,0x7ff0000000000000,1 +np.float64,0x3fd1fcf31223f9e6,0x3ff0a2da7ad99856,1 +np.float64,0x80082c4afcd05896,0x3ff0000000000000,1 +np.float64,0xa56e5e4b4adcc,0x3ff0000000000000,1 +np.float64,0xffbbbddab2377bb8,0x7ff0000000000000,1 +np.float64,0x3b3927c076726,0x3ff0000000000000,1 +np.float64,0x3fec03fd58f807fb,0x3ff6889b8a774728,1 +np.float64,0xbfaa891fb4351240,0x3ff00580987bd914,1 +np.float64,0x7fb4800c4a290018,0x7ff0000000000000,1 +np.float64,0xffbb5d2b6036ba58,0x7ff0000000000000,1 +np.float64,0x7fd6608076acc100,0x7ff0000000000000,1 +np.float64,0x31267e4c624d1,0x3ff0000000000000,1 +np.float64,0x33272266664e5,0x3ff0000000000000,1 +np.float64,0x47bb37f28f768,0x3ff0000000000000,1 +np.float64,0x3fe134bb4ee26977,0x3ff25e7ea647a928,1 +np.float64,0xbfe2b5f42ba56be8,0x3ff2d05cbdc7344b,1 +np.float64,0xbfe0e013fd61c028,0x3ff246dfce572914,1 +np.float64,0x7fecedcda4f9db9a,0x7ff0000000000000,1 +np.float64,0x8001816c2da302d9,0x3ff0000000000000,1 +np.float64,0xffced8b65b3db16c,0x7ff0000000000000,1 +np.float64,0xffdc1d4a0b383a94,0x7ff0000000000000,1 +np.float64,0x7fe94e7339f29ce5,0x7ff0000000000000,1 +np.float64,0x33fb846667f71,0x3ff0000000000000,1 +np.float64,0x800a1380e9542702,0x3ff0000000000000,1 +np.float64,0x800b74eaa776e9d6,0x3ff0000000000000,1 +np.float64,0x5681784aad030,0x3ff0000000000000,1 +np.float64,0xbfee0eb7917c1d6f,0x3ff797b949f7f6b4,1 +np.float64,0xffe4ec5fd2a9d8bf,0x7ff0000000000000,1 +np.float64,0xbfcd7401dd3ae804,0x3ff06cea52c792c0,1 +np.float64,0x800587563beb0ead,0x3ff0000000000000,1 +np.float64,0x3fc15c6f3322b8de,0x3ff025bbd030166d,1 +np.float64,0x7feb6b4caf76d698,0x7ff0000000000000,1 +np.float64,0x7fe136ef82a26dde,0x7ff0000000000000,1 +np.float64,0xf592dac3eb25c,0x3ff0000000000000,1 +np.float64,0x7fd300baf6a60175,0x7ff0000000000000,1 +np.float64,0x7fc880de9e3101bc,0x7ff0000000000000,1 +np.float64,0x7fe7a1aa5caf4354,0x7ff0000000000000,1 +np.float64,0x2f9b8e0e5f373,0x3ff0000000000000,1 +np.float64,0xffcc9071993920e4,0x7ff0000000000000,1 +np.float64,0x8009e151b313c2a4,0x3ff0000000000000,1 +np.float64,0xbfd46e2d18a8dc5a,0x3ff0d27a7b37c1ae,1 +np.float64,0x3fe65c7961acb8f3,0x3ff4116946062a4c,1 +np.float64,0x7fd31b371626366d,0x7ff0000000000000,1 +np.float64,0x98dc924d31b93,0x3ff0000000000000,1 +np.float64,0x268bef364d17f,0x3ff0000000000000,1 +np.float64,0x7fd883ba56310774,0x7ff0000000000000,1 +np.float64,0x3fc53f01a32a7e03,0x3ff0388dea9cd63e,1 +np.float64,0xffe1ea8c0563d518,0x7ff0000000000000,1 +np.float64,0x3fd0bf0e63a17e1d,0x3ff08d0577f5ffa6,1 +np.float64,0x7fef42418f7e8482,0x7ff0000000000000,1 +np.float64,0x8000bccd38c1799b,0x3ff0000000000000,1 +np.float64,0xbfe6c48766ed890f,0x3ff43936fa4048c8,1 +np.float64,0xbfb2a38f3a254720,0x3ff00adc7f7b2822,1 +np.float64,0x3fd5262b2eaa4c56,0x3ff0e1af492c08f5,1 +np.float64,0x80065b4691ecb68e,0x3ff0000000000000,1 +np.float64,0xfb6b9e9ff6d74,0x3ff0000000000000,1 +np.float64,0x8006c71e6ecd8e3e,0x3ff0000000000000,1 +np.float64,0x3fd0a3e43ca147c8,0x3ff08b3ad7b42485,1 +np.float64,0xbfc82d8607305b0c,0x3ff04949d6733ef6,1 +np.float64,0xde048c61bc092,0x3ff0000000000000,1 +np.float64,0xffcf73e0fa3ee7c0,0x7ff0000000000000,1 +np.float64,0xbfe8639d7830c73b,0x3ff4e05f97948376,1 +np.float64,0x8010000000000000,0x3ff0000000000000,1 +np.float64,0x67f01a2acfe04,0x3ff0000000000000,1 +np.float64,0x3fe222e803e445d0,0x3ff2a3a75e5f29d8,1 +np.float64,0xffef84c6387f098b,0x7ff0000000000000,1 +np.float64,0x3fe5969c1e6b2d38,0x3ff3c80130462bb2,1 +np.float64,0x8009f56953d3ead3,0x3ff0000000000000,1 +np.float64,0x3fe05c9b6360b937,0x3ff2232e1cba5617,1 +np.float64,0x3fd8888d63b1111b,0x3ff130a5b788d52f,1 +np.float64,0xffe3a9e6f26753ce,0x7ff0000000000000,1 +np.float64,0x800e2aaa287c5554,0x3ff0000000000000,1 +np.float64,0x3fea8d6c82351ad9,0x3ff5d4d8cde9a11d,1 +np.float64,0x7feef700723dee00,0x7ff0000000000000,1 +np.float64,0x3fa5cb77242b96e0,0x3ff003b62b3e50f1,1 +np.float64,0x7fb68f0a862d1e14,0x7ff0000000000000,1 +np.float64,0x7fb97ee83432fdcf,0x7ff0000000000000,1 +np.float64,0x7fd74a78632e94f0,0x7ff0000000000000,1 +np.float64,0x7fcfe577713fcaee,0x7ff0000000000000,1 +np.float64,0xffe192ee5ea325dc,0x7ff0000000000000,1 +np.float64,0x477d6ae48efae,0x3ff0000000000000,1 +np.float64,0xffe34d5237669aa4,0x7ff0000000000000,1 +np.float64,0x7fe3ce8395a79d06,0x7ff0000000000000,1 +np.float64,0x80019c01ffa33805,0x3ff0000000000000,1 +np.float64,0x74b5b56ce96b7,0x3ff0000000000000,1 +np.float64,0x7fe05ecdeda0bd9b,0x7ff0000000000000,1 +np.float64,0xffe9693eb232d27d,0x7ff0000000000000,1 +np.float64,0xffd2be2c7da57c58,0x7ff0000000000000,1 +np.float64,0x800dbd5cbc1b7aba,0x3ff0000000000000,1 +np.float64,0xbfa36105d426c210,0x3ff002ef2e3a87f7,1 +np.float64,0x800b2d69fb765ad4,0x3ff0000000000000,1 +np.float64,0xbfdb81c9a9370394,0x3ff1802d409cbf7a,1 +np.float64,0x7fd481d014a9039f,0x7ff0000000000000,1 +np.float64,0xffe66c3c1fecd878,0x7ff0000000000000,1 +np.float64,0x3fc55865192ab0c8,0x3ff03915b51e8839,1 +np.float64,0xd6a78987ad4f1,0x3ff0000000000000,1 +np.float64,0x800c6cc80d58d990,0x3ff0000000000000,1 +np.float64,0x979435a12f29,0x3ff0000000000000,1 +np.float64,0xbfbd971e7a3b2e40,0x3ff01b647e45f5a6,1 +np.float64,0x80067565bfeceacc,0x3ff0000000000000,1 +np.float64,0x8001ad689ce35ad2,0x3ff0000000000000,1 +np.float64,0x7fa43253dc2864a7,0x7ff0000000000000,1 +np.float64,0xbfe3dda307e7bb46,0x3ff32ef99a2efe1d,1 +np.float64,0x3fe5d7b395ebaf68,0x3ff3dfd33cdc8ef4,1 +np.float64,0xd94cc9c3b2999,0x3ff0000000000000,1 +np.float64,0x3fee5a513fbcb4a2,0x3ff7c0f17b876ce5,1 +np.float64,0xffe27761fa64eec4,0x7ff0000000000000,1 +np.float64,0x3feb788119b6f102,0x3ff64446f67f4efa,1 +np.float64,0xbfed6e10dffadc22,0x3ff741d5ef610ca0,1 +np.float64,0x7fe73cf98b2e79f2,0x7ff0000000000000,1 +np.float64,0x7847d09af08fb,0x3ff0000000000000,1 +np.float64,0x29ded2da53bdb,0x3ff0000000000000,1 +np.float64,0xbfe51c1ec1aa383e,0x3ff39c0b7cf832e2,1 +np.float64,0xbfeafd5e65f5fabd,0x3ff609548a787f57,1 +np.float64,0x3fd872a26fb0e545,0x3ff12e7fbd95505c,1 +np.float64,0x7fed6b7c1b7ad6f7,0x7ff0000000000000,1 +np.float64,0xffe7ba9ec16f753d,0x7ff0000000000000,1 +np.float64,0x7f89b322f0336645,0x7ff0000000000000,1 +np.float64,0xbfad1677383a2cf0,0x3ff0069ca67e7baa,1 +np.float64,0x3fe0906d04a120da,0x3ff2311b04b7bfef,1 +np.float64,0xffe4b3c9d4296793,0x7ff0000000000000,1 +np.float64,0xbfe476bb0ce8ed76,0x3ff36277d2921a74,1 +np.float64,0x7fc35655cf26acab,0x7ff0000000000000,1 +np.float64,0x7fe9980f0373301d,0x7ff0000000000000,1 +np.float64,0x9e6e04cb3cdc1,0x3ff0000000000000,1 +np.float64,0x800b89e0afb713c2,0x3ff0000000000000,1 +np.float64,0x800bd951a3f7b2a4,0x3ff0000000000000,1 +np.float64,0x29644a9e52c8a,0x3ff0000000000000,1 +np.float64,0x3fe1be2843637c51,0x3ff285e90d8387e4,1 +np.float64,0x7fa233cce4246799,0x7ff0000000000000,1 +np.float64,0xbfcfb7bc2d3f6f78,0x3ff07e657de3e2ed,1 +np.float64,0xffd7c953e7af92a8,0x7ff0000000000000,1 +np.float64,0xbfc5bbaf772b7760,0x3ff03b2ee4febb1e,1 +np.float64,0x8007b7315a6f6e63,0x3ff0000000000000,1 +np.float64,0xbfe906d902320db2,0x3ff525d7e16acfe0,1 +np.float64,0x3fde33d8553c67b1,0x3ff1d09faa19aa53,1 +np.float64,0x61fe76a0c3fcf,0x3ff0000000000000,1 +np.float64,0xa75e355b4ebc7,0x3ff0000000000000,1 +np.float64,0x3fc9e6d86033cdb1,0x3ff05426299c7064,1 +np.float64,0x7fd83f489eb07e90,0x7ff0000000000000,1 +np.float64,0x8000000000000001,0x3ff0000000000000,1 +np.float64,0x80014434ae62886a,0x3ff0000000000000,1 +np.float64,0xbfe21af9686435f3,0x3ff2a149338bdefe,1 +np.float64,0x9354e6cd26a9d,0x3ff0000000000000,1 +np.float64,0xb42b95f768573,0x3ff0000000000000,1 +np.float64,0xbfecb4481bb96890,0x3ff6e15d269dd651,1 +np.float64,0x3f97842ae82f0840,0x3ff0011485156f28,1 +np.float64,0xffdef63d90bdec7c,0x7ff0000000000000,1 +np.float64,0x7fe511a8d36a2351,0x7ff0000000000000,1 +np.float64,0xbf8cb638a0396c80,0x3ff000670c318fb6,1 +np.float64,0x3fe467e1f668cfc4,0x3ff35d65f93ccac6,1 +np.float64,0xbfce7d88f03cfb10,0x3ff074c22475fe5b,1 +np.float64,0x6d0a4994da14a,0x3ff0000000000000,1 +np.float64,0xbfb3072580260e48,0x3ff00b51d3913e9f,1 +np.float64,0x8008fcde36b1f9bd,0x3ff0000000000000,1 +np.float64,0x3fd984df66b309c0,0x3ff149f29125eca4,1 +np.float64,0xffee2a10fe7c5421,0x7ff0000000000000,1 +np.float64,0x80039168ace722d2,0x3ff0000000000000,1 +np.float64,0xffda604379b4c086,0x7ff0000000000000,1 +np.float64,0xffdc6a405bb8d480,0x7ff0000000000000,1 +np.float64,0x3fe62888b26c5111,0x3ff3fdda754c4372,1 +np.float64,0x8008b452cb5168a6,0x3ff0000000000000,1 +np.float64,0x6165d540c2cbb,0x3ff0000000000000,1 +np.float64,0xbfee0c04d17c180a,0x3ff796431c64bcbe,1 +np.float64,0x800609b8448c1371,0x3ff0000000000000,1 +np.float64,0x800fc3fca59f87f9,0x3ff0000000000000,1 +np.float64,0x77f64848efeca,0x3ff0000000000000,1 +np.float64,0x8007cf522d8f9ea5,0x3ff0000000000000,1 +np.float64,0xbfe9fb0b93f3f617,0x3ff591cb0052e22c,1 +np.float64,0x7fd569d5f0aad3ab,0x7ff0000000000000,1 +np.float64,0x7fe5cf489d6b9e90,0x7ff0000000000000,1 +np.float64,0x7fd6e193e92dc327,0x7ff0000000000000,1 +np.float64,0xf78988a5ef131,0x3ff0000000000000,1 +np.float64,0x3fe8f97562b1f2eb,0x3ff5201080fbc12d,1 +np.float64,0x7febfd69d7b7fad3,0x7ff0000000000000,1 +np.float64,0xffc07b5c1720f6b8,0x7ff0000000000000,1 +np.float64,0xbfd966926832cd24,0x3ff146da9adf492e,1 +np.float64,0x7fef5bd9edfeb7b3,0x7ff0000000000000,1 +np.float64,0xbfd2afbc96255f7a,0x3ff0afd601febf44,1 +np.float64,0x7fdd4ea6293a9d4b,0x7ff0000000000000,1 +np.float64,0xbfe8a1e916b143d2,0x3ff4faa23c2793e5,1 +np.float64,0x800188fcd8c311fa,0x3ff0000000000000,1 +np.float64,0xbfe30803f1661008,0x3ff2e9fc729baaee,1 +np.float64,0x7fefffffffffffff,0x7ff0000000000000,1 +np.float64,0x3fd287bec3250f7e,0x3ff0ace34d3102f6,1 +np.float64,0x1f0ee9443e1de,0x3ff0000000000000,1 +np.float64,0xbfd92f73da325ee8,0x3ff14143e4fa2c5a,1 +np.float64,0x3fed7c9bdffaf938,0x3ff74984168734d3,1 +np.float64,0x8002c4d1696589a4,0x3ff0000000000000,1 +np.float64,0xfe03011bfc060,0x3ff0000000000000,1 +np.float64,0x7f7a391e6034723c,0x7ff0000000000000,1 +np.float64,0xffd6fd46f82dfa8e,0x7ff0000000000000,1 +np.float64,0xbfd7520a742ea414,0x3ff112f1ba5d4f91,1 +np.float64,0x8009389d8812713b,0x3ff0000000000000,1 +np.float64,0x7fefb846aaff708c,0x7ff0000000000000,1 +np.float64,0x3fd98a0983331413,0x3ff14a79efb8adbf,1 +np.float64,0xbfd897158db12e2c,0x3ff132137902cf3e,1 +np.float64,0xffc4048d5928091c,0x7ff0000000000000,1 +np.float64,0x80036ae46046d5ca,0x3ff0000000000000,1 +np.float64,0x7faba7ed3c374fd9,0x7ff0000000000000,1 +np.float64,0xbfec4265e1f884cc,0x3ff6a7b8602422c9,1 +np.float64,0xaa195e0b5432c,0x3ff0000000000000,1 +np.float64,0x3feac15d317582ba,0x3ff5ed115758145f,1 +np.float64,0x6c13a5bcd8275,0x3ff0000000000000,1 +np.float64,0xbfed20b8883a4171,0x3ff7194dbd0dc988,1 +np.float64,0x800cde65c899bccc,0x3ff0000000000000,1 +np.float64,0x7c72912af8e53,0x3ff0000000000000,1 +np.float64,0x3fe49d2bb4e93a57,0x3ff36fab3aba15d4,1 +np.float64,0xbfd598fa02ab31f4,0x3ff0eb72fc472025,1 +np.float64,0x8007a191712f4324,0x3ff0000000000000,1 +np.float64,0xbfdeb14872bd6290,0x3ff1e01ca83f35fd,1 +np.float64,0xbfe1da46b3e3b48e,0x3ff28e23ad2f5615,1 +np.float64,0x800a2f348e745e69,0x3ff0000000000000,1 +np.float64,0xbfee66928afccd25,0x3ff7c7ac7dbb3273,1 +np.float64,0xffd78a0a2b2f1414,0x7ff0000000000000,1 +np.float64,0x7fc5fa80b82bf500,0x7ff0000000000000,1 +np.float64,0x800e6d7260dcdae5,0x3ff0000000000000,1 +np.float64,0xbfd6cff2aaad9fe6,0x3ff106f78ee61642,1 +np.float64,0x7fe1041d1d220839,0x7ff0000000000000,1 +np.float64,0xbfdf75586cbeeab0,0x3ff1f8dbaa7e57f0,1 +np.float64,0xffdcaae410b955c8,0x7ff0000000000000,1 +np.float64,0x800fe5e0d1ffcbc2,0x3ff0000000000000,1 +np.float64,0x800d7999527af333,0x3ff0000000000000,1 +np.float64,0xbfe62c233bac5846,0x3ff3ff34220a204c,1 +np.float64,0x7fe99bbff8f3377f,0x7ff0000000000000,1 +np.float64,0x7feeaf471d3d5e8d,0x7ff0000000000000,1 +np.float64,0xd5904ff5ab20a,0x3ff0000000000000,1 +np.float64,0x3fd07aae3320f55c,0x3ff08888c227c968,1 +np.float64,0x7fea82b8dff50571,0x7ff0000000000000,1 +np.float64,0xffef2db9057e5b71,0x7ff0000000000000,1 +np.float64,0xbfe2077fef640f00,0x3ff29b7dd0d39d36,1 +np.float64,0xbfe09a4d7c61349b,0x3ff233c7e88881f4,1 +np.float64,0x3fda50c4cbb4a188,0x3ff15f28a71deee7,1 +np.float64,0x7fe7d9ee6b2fb3dc,0x7ff0000000000000,1 +np.float64,0x3febbf6faeb77edf,0x3ff666d13682ea93,1 +np.float64,0xc401a32988035,0x3ff0000000000000,1 +np.float64,0xbfeab30aa8f56615,0x3ff5e65dcc6603f8,1 +np.float64,0x92c8cea32591a,0x3ff0000000000000,1 +np.float64,0xbff0000000000000,0x3ff8b07551d9f550,1 +np.float64,0xbfbddfb4dc3bbf68,0x3ff01bebaec38faa,1 +np.float64,0xbfd8de3e2a31bc7c,0x3ff1391f4830d20b,1 +np.float64,0xffc83a8f8a307520,0x7ff0000000000000,1 +np.float64,0x3fee026ef53c04de,0x3ff7911337085827,1 +np.float64,0x7fbaf380b235e700,0x7ff0000000000000,1 +np.float64,0xffe5b89fa62b713f,0x7ff0000000000000,1 +np.float64,0xbfdc1ff54ab83fea,0x3ff191e8c0b60bb2,1 +np.float64,0x6ae3534cd5c6b,0x3ff0000000000000,1 +np.float64,0xbfea87e558750fcb,0x3ff5d24846013794,1 +np.float64,0xffe0f467bee1e8cf,0x7ff0000000000000,1 +np.float64,0x7fee3b0dc7bc761b,0x7ff0000000000000,1 +np.float64,0x3fed87521afb0ea4,0x3ff74f2f5cd36a5c,1 +np.float64,0x7b3c9882f6794,0x3ff0000000000000,1 +np.float64,0x7fdd1a62243a34c3,0x7ff0000000000000,1 +np.float64,0x800f1dc88d3e3b91,0x3ff0000000000000,1 +np.float64,0x7fc3213cfa264279,0x7ff0000000000000,1 +np.float64,0x3fe40e0f3d681c1e,0x3ff33f135e9d5ded,1 +np.float64,0x7febf14e51f7e29c,0x7ff0000000000000,1 +np.float64,0xffe96c630c72d8c5,0x7ff0000000000000,1 +np.float64,0x7fdd82fbe7bb05f7,0x7ff0000000000000,1 +np.float64,0xbf9a6a0b1034d420,0x3ff0015ce009f7d8,1 +np.float64,0xbfceb4f8153d69f0,0x3ff0766e3ecc77df,1 +np.float64,0x3fd9de31e633bc64,0x3ff15327b794a16e,1 +np.float64,0x3faa902a30352054,0x3ff00583848d1969,1 +np.float64,0x0,0x3ff0000000000000,1 +np.float64,0x3fbe3459c43c68b4,0x3ff01c8af6710ef6,1 +np.float64,0xbfa8df010031be00,0x3ff004d5632dc9f5,1 +np.float64,0x7fbcf6cf2a39ed9d,0x7ff0000000000000,1 +np.float64,0xffe4236202a846c4,0x7ff0000000000000,1 +np.float64,0x3fd35ed52e26bdaa,0x3ff0bd0b231f11f7,1 +np.float64,0x7fe7a2df532f45be,0x7ff0000000000000,1 +np.float64,0xffe32f8315665f06,0x7ff0000000000000,1 +np.float64,0x7fe1a69f03e34d3d,0x7ff0000000000000,1 +np.float64,0x7fa5542b742aa856,0x7ff0000000000000,1 +np.float64,0x3fe84e9f8ef09d3f,0x3ff4d79816359765,1 +np.float64,0x29076fe6520ef,0x3ff0000000000000,1 +np.float64,0xffd70894f7ae112a,0x7ff0000000000000,1 +np.float64,0x800188edcbe311dc,0x3ff0000000000000,1 +np.float64,0x3fe2c7acda258f5a,0x3ff2d5dad4617703,1 +np.float64,0x3f775d41a02ebb00,0x3ff000110f212445,1 +np.float64,0x7fe8a084d1714109,0x7ff0000000000000,1 +np.float64,0x3fe31562d8a62ac6,0x3ff2ee35055741cd,1 +np.float64,0xbfd195d4d1a32baa,0x3ff09b98a50c151b,1 +np.float64,0xffaae9ff0c35d400,0x7ff0000000000000,1 +np.float64,0xff819866502330c0,0x7ff0000000000000,1 +np.float64,0x7fddc64815bb8c8f,0x7ff0000000000000,1 +np.float64,0xbfd442b428288568,0x3ff0cef70aa73ae6,1 +np.float64,0x8002e7625aa5cec5,0x3ff0000000000000,1 +np.float64,0x7fe8d4f70e71a9ed,0x7ff0000000000000,1 +np.float64,0xbfc3bd015f277a04,0x3ff030cbf16f29d9,1 +np.float64,0x3fd315d5baa62bab,0x3ff0b77a551a5335,1 +np.float64,0x7fa638b4642c7168,0x7ff0000000000000,1 +np.float64,0x3fdea8b795bd516f,0x3ff1df0bb70cdb79,1 +np.float64,0xbfd78754762f0ea8,0x3ff117ee0f29abed,1 +np.float64,0x8009f6a37633ed47,0x3ff0000000000000,1 +np.float64,0x3fea1daf75343b5f,0x3ff5a1804789bf13,1 +np.float64,0x3fd044b6c0a0896e,0x3ff0850b7297d02f,1 +np.float64,0x8003547a9c86a8f6,0x3ff0000000000000,1 +np.float64,0x3fa6c2cd782d859b,0x3ff0040c4ac8f44a,1 +np.float64,0x3fe225baaae44b76,0x3ff2a47f5e1f5e85,1 +np.float64,0x8000000000000000,0x3ff0000000000000,1 +np.float64,0x3fcb53da8736a7b8,0x3ff05db45af470ac,1 +np.float64,0x80079f8f140f3f1f,0x3ff0000000000000,1 +np.float64,0xbfcd1d7e2b3a3afc,0x3ff06a6b6845d05f,1 +np.float64,0x96df93672dbf3,0x3ff0000000000000,1 +np.float64,0xdef86e43bdf0e,0x3ff0000000000000,1 +np.float64,0xbfec05a09db80b41,0x3ff6896b768eea08,1 +np.float64,0x7fe3ff91d267ff23,0x7ff0000000000000,1 +np.float64,0xffea3eaa07347d53,0x7ff0000000000000,1 +np.float64,0xbfebde1cc1f7bc3a,0x3ff675e34ac2afc2,1 +np.float64,0x629bcde8c537a,0x3ff0000000000000,1 +np.float64,0xbfdde4fcff3bc9fa,0x3ff1c7061d21f0fe,1 +np.float64,0x3fee60fd003cc1fa,0x3ff7c49af3878a51,1 +np.float64,0x3fe5c92ac32b9256,0x3ff3da7a7929588b,1 +np.float64,0xbfe249c78f64938f,0x3ff2af52a06f1a50,1 +np.float64,0xbfc6de9dbe2dbd3c,0x3ff0418d284ee29f,1 +np.float64,0xffc8ef094631de14,0x7ff0000000000000,1 +np.float64,0x3fdef05f423de0bf,0x3ff1e800caba8ab5,1 +np.float64,0xffc1090731221210,0x7ff0000000000000,1 +np.float64,0xbfedec9b5fbbd937,0x3ff7854b6792a24a,1 +np.float64,0xbfb873507630e6a0,0x3ff012b23b3b7a67,1 +np.float64,0xbfe3cd6692679acd,0x3ff3299d6936ec4b,1 +np.float64,0xbfb107c890220f90,0x3ff0091122162472,1 +np.float64,0xbfe4e6ee48e9cddc,0x3ff3894e5a5e70a6,1 +np.float64,0xffe6fa3413edf468,0x7ff0000000000000,1 +np.float64,0x3fe2faf79b65f5ef,0x3ff2e5e11fae8b54,1 +np.float64,0xbfdfeb8df9bfd71c,0x3ff208189691b15f,1 +np.float64,0x75d2d03ceba5b,0x3ff0000000000000,1 +np.float64,0x3feb48c182b69183,0x3ff62d4462eba6cb,1 +np.float64,0xffcda9f7ff3b53f0,0x7ff0000000000000,1 +np.float64,0x7fcafbdcbd35f7b8,0x7ff0000000000000,1 +np.float64,0xbfd1895523a312aa,0x3ff09aba642a78d9,1 +np.float64,0x3fe3129c3f662538,0x3ff2ed546bbfafcf,1 +np.float64,0x3fb444dee02889be,0x3ff00cd86273b964,1 +np.float64,0xbf73b32d7ee77,0x3ff0000000000000,1 +np.float64,0x3fae19904c3c3321,0x3ff00714865c498a,1 +np.float64,0x7fefbfaef5bf7f5d,0x7ff0000000000000,1 +np.float64,0x8000dc3816e1b871,0x3ff0000000000000,1 +np.float64,0x8003f957ba47f2b0,0x3ff0000000000000,1 +np.float64,0xbfe3563c7ea6ac79,0x3ff302dcebc92856,1 +np.float64,0xbfdc80fbae3901f8,0x3ff19cfe73e58092,1 +np.float64,0x8009223b04524476,0x3ff0000000000000,1 +np.float64,0x3fd95f431c32be86,0x3ff1461c21cb03f0,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xbfe7c12ed3ef825e,0x3ff49d59c265efcd,1 +np.float64,0x10000000000000,0x3ff0000000000000,1 +np.float64,0x7fc5e2632f2bc4c5,0x7ff0000000000000,1 +np.float64,0xffd8f6b4c7b1ed6a,0x7ff0000000000000,1 +np.float64,0x80034b93d4069728,0x3ff0000000000000,1 +np.float64,0xffdf5d4c1dbeba98,0x7ff0000000000000,1 +np.float64,0x800bc63d70178c7b,0x3ff0000000000000,1 +np.float64,0xbfeba31ea0f7463d,0x3ff658fa27073d2b,1 +np.float64,0xbfeebeede97d7ddc,0x3ff7f89a8e80dec4,1 +np.float64,0x7feb0f1f91361e3e,0x7ff0000000000000,1 +np.float64,0xffec3158d0b862b1,0x7ff0000000000000,1 +np.float64,0x3fde51cbfbbca398,0x3ff1d44c2ff15b3d,1 +np.float64,0xd58fb2b3ab1f7,0x3ff0000000000000,1 +np.float64,0x80028b9e32e5173d,0x3ff0000000000000,1 +np.float64,0x7fea77a56c74ef4a,0x7ff0000000000000,1 +np.float64,0x3fdaabbd4a35577b,0x3ff168d82edf2fe0,1 +np.float64,0xbfe69c39cc2d3874,0x3ff429b2f4cdb362,1 +np.float64,0x3b78f5d876f20,0x3ff0000000000000,1 +np.float64,0x7fa47d116428fa22,0x7ff0000000000000,1 +np.float64,0xbfe4118b0ce82316,0x3ff3403d989f780f,1 +np.float64,0x800482e793c905d0,0x3ff0000000000000,1 +np.float64,0xbfe48e5728e91cae,0x3ff36a9020bf9d20,1 +np.float64,0x7fe078ba8860f174,0x7ff0000000000000,1 +np.float64,0x3fd80843e5b01088,0x3ff1242f401e67da,1 +np.float64,0x3feb1f6965f63ed3,0x3ff6197fc590e143,1 +np.float64,0xffa41946d8283290,0x7ff0000000000000,1 +np.float64,0xffe30de129661bc2,0x7ff0000000000000,1 +np.float64,0x3fec9c8e1ab9391c,0x3ff6d542ea2f49b4,1 +np.float64,0x3fdc3e4490387c89,0x3ff1955ae18cac37,1 +np.float64,0xffef49d9c77e93b3,0x7ff0000000000000,1 +np.float64,0xfff0000000000000,0x7ff0000000000000,1 +np.float64,0x3fe0442455608849,0x3ff21cab90067d5c,1 +np.float64,0xbfed86aebd3b0d5e,0x3ff74ed8d4b75f50,1 +np.float64,0xffe4600d2b28c01a,0x7ff0000000000000,1 +np.float64,0x7fc1e8ccff23d199,0x7ff0000000000000,1 +np.float64,0x8008d49b0091a936,0x3ff0000000000000,1 +np.float64,0xbfe4139df028273c,0x3ff340ef3c86227c,1 +np.float64,0xbfe9ab4542b3568a,0x3ff56dfe32061247,1 +np.float64,0xbfd76dd365aedba6,0x3ff11589bab5fe71,1 +np.float64,0x3fd42cf829a859f0,0x3ff0cd3844bb0e11,1 +np.float64,0x7fd077cf2e20ef9d,0x7ff0000000000000,1 +np.float64,0x3fd7505760aea0b0,0x3ff112c937b3f088,1 +np.float64,0x1f93341a3f267,0x3ff0000000000000,1 +np.float64,0x7fe3c3c1b0678782,0x7ff0000000000000,1 +np.float64,0x800f85cec97f0b9e,0x3ff0000000000000,1 +np.float64,0xd93ab121b2756,0x3ff0000000000000,1 +np.float64,0xbfef8066fd7f00ce,0x3ff8663ed7d15189,1 +np.float64,0xffe31dd4af663ba9,0x7ff0000000000000,1 +np.float64,0xbfd7ff05a6affe0c,0x3ff1234c09bb686d,1 +np.float64,0xbfe718c31fee3186,0x3ff45a0c2d0ef7b0,1 +np.float64,0x800484bf33e9097f,0x3ff0000000000000,1 +np.float64,0xffd409dad02813b6,0x7ff0000000000000,1 +np.float64,0x3fe59679896b2cf4,0x3ff3c7f49e4fbbd3,1 +np.float64,0xbfd830c54d30618a,0x3ff1281729861390,1 +np.float64,0x1d4fc81c3a9fa,0x3ff0000000000000,1 +np.float64,0x3fd334e4272669c8,0x3ff0b9d5d82894f0,1 +np.float64,0xffc827e65c304fcc,0x7ff0000000000000,1 +np.float64,0xffe2d1814aa5a302,0x7ff0000000000000,1 +np.float64,0xffd7b5b8d32f6b72,0x7ff0000000000000,1 +np.float64,0xbfdbc9f077b793e0,0x3ff18836b9106ad0,1 +np.float64,0x7fc724c2082e4983,0x7ff0000000000000,1 +np.float64,0x3fa39ed72c273da0,0x3ff00302051ce17e,1 +np.float64,0xbfe3c4c209678984,0x3ff326c4fd16b5cd,1 +np.float64,0x7fe91f6d00f23ed9,0x7ff0000000000000,1 +np.float64,0x8004ee93fea9dd29,0x3ff0000000000000,1 +np.float64,0xbfe7c32d0eaf865a,0x3ff49e290ed2ca0e,1 +np.float64,0x800ea996b29d532d,0x3ff0000000000000,1 +np.float64,0x2df9ec1c5bf3e,0x3ff0000000000000,1 +np.float64,0xabb175df5762f,0x3ff0000000000000,1 +np.float64,0xffe3fc9c8e27f938,0x7ff0000000000000,1 +np.float64,0x7fb358a62826b14b,0x7ff0000000000000,1 +np.float64,0x800aedcccaf5db9a,0x3ff0000000000000,1 +np.float64,0xffca530c5234a618,0x7ff0000000000000,1 +np.float64,0x40f91e9681f24,0x3ff0000000000000,1 +np.float64,0x80098f4572f31e8b,0x3ff0000000000000,1 +np.float64,0xbfdc58c21fb8b184,0x3ff1986115f8fe92,1 +np.float64,0xbfebeafd40b7d5fa,0x3ff67c3cf34036e3,1 +np.float64,0x7fd108861a22110b,0x7ff0000000000000,1 +np.float64,0xff8e499ae03c9340,0x7ff0000000000000,1 +np.float64,0xbfd2f58caa25eb1a,0x3ff0b50b1bffafdf,1 +np.float64,0x3fa040c9bc208193,0x3ff002105e95aefa,1 +np.float64,0xbfd2ebc0a5a5d782,0x3ff0b44ed5a11584,1 +np.float64,0xffe237bc93a46f78,0x7ff0000000000000,1 +np.float64,0x3fd557c5eeaaaf8c,0x3ff0e5e0a575e1ba,1 +np.float64,0x7abb419ef5769,0x3ff0000000000000,1 +np.float64,0xffefa1fe353f43fb,0x7ff0000000000000,1 +np.float64,0x3fa6f80ba02df017,0x3ff0041f51fa0d76,1 +np.float64,0xbfdce79488b9cf2a,0x3ff1a8e32877beb4,1 +np.float64,0x2285f3e4450bf,0x3ff0000000000000,1 +np.float64,0x3bf7eb7277efe,0x3ff0000000000000,1 +np.float64,0xbfd5925fd3ab24c0,0x3ff0eae1c2ac2e78,1 +np.float64,0xbfed6325227ac64a,0x3ff73c14a2ad5bfe,1 +np.float64,0x8000429c02408539,0x3ff0000000000000,1 +np.float64,0xb67c21e76cf84,0x3ff0000000000000,1 +np.float64,0x3fec3d3462f87a69,0x3ff6a51e4c027eb7,1 +np.float64,0x3feae69cbcf5cd3a,0x3ff5fe9387314afd,1 +np.float64,0x7fd0c9a0ec219341,0x7ff0000000000000,1 +np.float64,0x8004adb7f6295b71,0x3ff0000000000000,1 +np.float64,0xffd61fe8bb2c3fd2,0x7ff0000000000000,1 +np.float64,0xffe7fb3834aff670,0x7ff0000000000000,1 +np.float64,0x7fd1eef163a3dde2,0x7ff0000000000000,1 +np.float64,0x2e84547a5d08b,0x3ff0000000000000,1 +np.float64,0x8002d8875ee5b10f,0x3ff0000000000000,1 +np.float64,0x3fe1d1c5f763a38c,0x3ff28ba524fb6de8,1 +np.float64,0x8001dea0bc43bd42,0x3ff0000000000000,1 +np.float64,0xfecfad91fd9f6,0x3ff0000000000000,1 +np.float64,0xffed7965fa3af2cb,0x7ff0000000000000,1 +np.float64,0xbfe6102ccc2c205a,0x3ff3f4c082506686,1 +np.float64,0x3feff75b777feeb6,0x3ff8ab6222578e0c,1 +np.float64,0x3fb8a97bd43152f8,0x3ff013057f0a9d89,1 +np.float64,0xffe234b5e964696c,0x7ff0000000000000,1 +np.float64,0x984d9137309b2,0x3ff0000000000000,1 +np.float64,0xbfe42e9230e85d24,0x3ff349fb7d1a7560,1 +np.float64,0xbfecc8b249f99165,0x3ff6ebd0fea0ea72,1 +np.float64,0x8000840910410813,0x3ff0000000000000,1 +np.float64,0xbfd81db9e7303b74,0x3ff126402d3539ec,1 +np.float64,0x800548eb7fea91d8,0x3ff0000000000000,1 +np.float64,0xbfe4679ad0e8cf36,0x3ff35d4db89296a3,1 +np.float64,0x3fd4c55b5a298ab7,0x3ff0d99da31081f9,1 +np.float64,0xbfa8f5b38c31eb60,0x3ff004de3a23b32d,1 +np.float64,0x80005d348e80ba6a,0x3ff0000000000000,1 +np.float64,0x800c348d6118691b,0x3ff0000000000000,1 +np.float64,0xffd6b88f84ad7120,0x7ff0000000000000,1 +np.float64,0x3fc1aaaa82235555,0x3ff027136afd08e0,1 +np.float64,0x7fca7d081b34fa0f,0x7ff0000000000000,1 +np.float64,0x1,0x3ff0000000000000,1 +np.float64,0xbfdc810d1139021a,0x3ff19d007408cfe3,1 +np.float64,0xbfe5dce05f2bb9c0,0x3ff3e1bb9234617b,1 +np.float64,0xffecfe2c32b9fc58,0x7ff0000000000000,1 +np.float64,0x95b2891b2b651,0x3ff0000000000000,1 +np.float64,0x8000b60c6c616c1a,0x3ff0000000000000,1 +np.float64,0x4944f0889289f,0x3ff0000000000000,1 +np.float64,0x3fe6e508696dca10,0x3ff445d1b94863e9,1 +np.float64,0xbfe63355d0ec66ac,0x3ff401e74f16d16f,1 +np.float64,0xbfe9b9595af372b3,0x3ff57445e1b4d670,1 +np.float64,0x800e16f7313c2dee,0x3ff0000000000000,1 +np.float64,0xffe898f5f0b131eb,0x7ff0000000000000,1 +np.float64,0x3fe91ac651f2358d,0x3ff52e787c21c004,1 +np.float64,0x7fbfaac6783f558c,0x7ff0000000000000,1 +np.float64,0xd8ef3dfbb1de8,0x3ff0000000000000,1 +np.float64,0xbfc58c13a52b1828,0x3ff03a2c19d65019,1 +np.float64,0xbfbde55e8a3bcac0,0x3ff01bf648a3e0a7,1 +np.float64,0xffc3034930260694,0x7ff0000000000000,1 +np.float64,0xea77a64dd4ef5,0x3ff0000000000000,1 +np.float64,0x800cfe7e7739fcfd,0x3ff0000000000000,1 +np.float64,0x4960f31a92c1f,0x3ff0000000000000,1 +np.float64,0x3fd9552c94b2aa58,0x3ff14515a29add09,1 +np.float64,0xffe8b3244c316648,0x7ff0000000000000,1 +np.float64,0x3fe8201e6a70403d,0x3ff4c444fa679cce,1 +np.float64,0xffe9ab7c20f356f8,0x7ff0000000000000,1 +np.float64,0x3fed8bba5f7b1774,0x3ff751853c4c95c5,1 +np.float64,0x8007639cb76ec73a,0x3ff0000000000000,1 +np.float64,0xbfe396db89672db7,0x3ff317bfd1d6fa8c,1 +np.float64,0xbfeb42f888f685f1,0x3ff62a7e0eee56b1,1 +np.float64,0x3fe894827c712904,0x3ff4f4f561d9ea13,1 +np.float64,0xb66b3caf6cd68,0x3ff0000000000000,1 +np.float64,0x800f8907fdbf1210,0x3ff0000000000000,1 +np.float64,0x7fe9b0cddb73619b,0x7ff0000000000000,1 +np.float64,0xbfda70c0e634e182,0x3ff1628c6fdffc53,1 +np.float64,0x3fe0b5f534a16bea,0x3ff23b4ed4c2b48e,1 +np.float64,0xbfe8eee93671ddd2,0x3ff51b85b3c50ae4,1 +np.float64,0xbfe8c22627f1844c,0x3ff50858787a3bfe,1 +np.float64,0x37bb83c86f771,0x3ff0000000000000,1 +np.float64,0xffb7827ffe2f0500,0x7ff0000000000000,1 +np.float64,0x64317940c864,0x3ff0000000000000,1 +np.float64,0x800430ecee6861db,0x3ff0000000000000,1 +np.float64,0x3fa4291fbc285240,0x3ff0032d0204f6dd,1 +np.float64,0xffec69f76af8d3ee,0x7ff0000000000000,1 +np.float64,0x3ff0000000000000,0x3ff8b07551d9f550,1 +np.float64,0x3fc4cf3c42299e79,0x3ff0363fb1d3c254,1 +np.float64,0x7fe0223a77e04474,0x7ff0000000000000,1 +np.float64,0x800a3d4fa4347aa0,0x3ff0000000000000,1 +np.float64,0x3fdd273f94ba4e7f,0x3ff1b05b686e6879,1 +np.float64,0x3feca79052f94f20,0x3ff6dadedfa283aa,1 +np.float64,0x5e7f6f80bcfef,0x3ff0000000000000,1 +np.float64,0xbfef035892fe06b1,0x3ff81efb39cbeba2,1 +np.float64,0x3fee6c08e07cd812,0x3ff7caad952860a1,1 +np.float64,0xffeda715877b4e2a,0x7ff0000000000000,1 +np.float64,0x800580286b0b0052,0x3ff0000000000000,1 +np.float64,0x800703a73fee074f,0x3ff0000000000000,1 +np.float64,0xbfccf96a6639f2d4,0x3ff0696330a60832,1 +np.float64,0x7feb408442368108,0x7ff0000000000000,1 +np.float64,0x3fedc87a46fb90f5,0x3ff771e3635649a9,1 +np.float64,0x3fd8297b773052f7,0x3ff12762bc0cea76,1 +np.float64,0x3fee41bb03fc8376,0x3ff7b37b2da48ab4,1 +np.float64,0xbfe2b05a226560b4,0x3ff2cea17ae7c528,1 +np.float64,0xbfd2e92cf2a5d25a,0x3ff0b41d605ced61,1 +np.float64,0x4817f03a902ff,0x3ff0000000000000,1 +np.float64,0x8c9d4f0d193aa,0x3ff0000000000000,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-exp.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-exp.csv new file mode 100644 index 0000000000000000000000000000000000000000..7c5ef3b334fbd8a63bb1a0e6ad72577f767dbaf6 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-exp.csv @@ -0,0 +1,412 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0x3f800000,3 +np.float32,0x007b2490,0x3f800000,3 +np.float32,0x007c99fa,0x3f800000,3 +np.float32,0x00734a0c,0x3f800000,3 +np.float32,0x0070de24,0x3f800000,3 +np.float32,0x00495d65,0x3f800000,3 +np.float32,0x006894f6,0x3f800000,3 +np.float32,0x00555a76,0x3f800000,3 +np.float32,0x004e1fb8,0x3f800000,3 +np.float32,0x00687de9,0x3f800000,3 +## -ve denormals ## +np.float32,0x805b59af,0x3f800000,3 +np.float32,0x807ed8ed,0x3f800000,3 +np.float32,0x807142ad,0x3f800000,3 +np.float32,0x80772002,0x3f800000,3 +np.float32,0x8062abcb,0x3f800000,3 +np.float32,0x8045e31c,0x3f800000,3 +np.float32,0x805f01c2,0x3f800000,3 +np.float32,0x80506432,0x3f800000,3 +np.float32,0x8060089d,0x3f800000,3 +np.float32,0x8071292f,0x3f800000,3 +## floats that output a denormal ## +np.float32,0xc2cf3fc1,0x00000001,3 +np.float32,0xc2c79726,0x00000021,3 +np.float32,0xc2cb295d,0x00000005,3 +np.float32,0xc2b49e6b,0x00068c4c,3 +np.float32,0xc2ca8116,0x00000008,3 +np.float32,0xc2c23f82,0x000001d7,3 +np.float32,0xc2cb69c0,0x00000005,3 +np.float32,0xc2cc1f4d,0x00000003,3 +np.float32,0xc2ae094e,0x00affc4c,3 +np.float32,0xc2c86c44,0x00000015,3 +## random floats between -87.0f and 88.0f ## +np.float32,0x4030d7e0,0x417d9a05,3 +np.float32,0x426f60e8,0x6aa1be2c,3 +np.float32,0x41a1b220,0x4e0efc11,3 +np.float32,0xc20cc722,0x26159da7,3 +np.float32,0x41c492bc,0x512ec79d,3 +np.float32,0x40980210,0x42e73a0e,3 +np.float32,0xbf1f7b80,0x3f094de3,3 +np.float32,0x42a678a4,0x7b87a383,3 +np.float32,0xc20f3cfd,0x25a1c304,3 +np.float32,0x423ff34c,0x6216467f,3 +np.float32,0x00000000,0x3f800000,3 +## floats that cause an overflow ## +np.float32,0x7f06d8c1,0x7f800000,3 +np.float32,0x7f451912,0x7f800000,3 +np.float32,0x7ecceac3,0x7f800000,3 +np.float32,0x7f643b45,0x7f800000,3 +np.float32,0x7e910ea0,0x7f800000,3 +np.float32,0x7eb4756b,0x7f800000,3 +np.float32,0x7f4ec708,0x7f800000,3 +np.float32,0x7f6b4551,0x7f800000,3 +np.float32,0x7d8edbda,0x7f800000,3 +np.float32,0x7f730718,0x7f800000,3 +np.float32,0x42b17217,0x7f7fff84,3 +np.float32,0x42b17218,0x7f800000,3 +np.float32,0x42b17219,0x7f800000,3 +np.float32,0xfef2b0bc,0x00000000,3 +np.float32,0xff69f83e,0x00000000,3 +np.float32,0xff4ecb12,0x00000000,3 +np.float32,0xfeac6d86,0x00000000,3 +np.float32,0xfde0cdb8,0x00000000,3 +np.float32,0xff26aef4,0x00000000,3 +np.float32,0xff6f9277,0x00000000,3 +np.float32,0xff7adfc4,0x00000000,3 +np.float32,0xff0ad40e,0x00000000,3 +np.float32,0xff6fd8f3,0x00000000,3 +np.float32,0xc2cff1b4,0x00000001,3 +np.float32,0xc2cff1b5,0x00000000,3 +np.float32,0xc2cff1b6,0x00000000,3 +np.float32,0x7f800000,0x7f800000,3 +np.float32,0xff800000,0x00000000,3 +np.float32,0x4292f27c,0x7480000a,3 +np.float32,0x42a920be,0x7c7fff94,3 +np.float32,0x41c214c9,0x50ffffd9,3 +np.float32,0x41abe686,0x4effffd9,3 +np.float32,0x4287db5a,0x707fffd3,3 +np.float32,0x41902cbb,0x4c800078,3 +np.float32,0x42609466,0x67ffffeb,3 +np.float32,0x41a65af5,0x4e7fffd1,3 +np.float32,0x417f13ff,0x4affffc9,3 +np.float32,0x426d0e6c,0x6a3504f2,3 +np.float32,0x41bc8934,0x507fff51,3 +np.float32,0x42a7bdde,0x7c0000d6,3 +np.float32,0x4120cf66,0x46b504f6,3 +np.float32,0x4244da8f,0x62ffff1a,3 +np.float32,0x41a0cf69,0x4e000034,3 +np.float32,0x41cd2bec,0x52000005,3 +np.float32,0x42893e41,0x7100009e,3 +np.float32,0x41b437e1,0x4fb50502,3 +np.float32,0x41d8430f,0x5300001d,3 +np.float32,0x4244da92,0x62ffffda,3 +np.float32,0x41a0cf63,0x4dffffa9,3 +np.float32,0x3eb17218,0x3fb504f3,3 +np.float32,0x428729e8,0x703504dc,3 +np.float32,0x41a0cf67,0x4e000014,3 +np.float32,0x4252b77d,0x65800011,3 +np.float32,0x41902cb9,0x4c800058,3 +np.float32,0x42a0cf67,0x79800052,3 +np.float32,0x4152b77b,0x48ffffe9,3 +np.float32,0x41265af3,0x46ffffc8,3 +np.float32,0x42187e0b,0x5affff9a,3 +np.float32,0xc0d2b77c,0x3ab504f6,3 +np.float32,0xc283b2ac,0x10000072,3 +np.float32,0xc1cff1b4,0x2cb504f5,3 +np.float32,0xc05dce9e,0x3d000000,3 +np.float32,0xc28ec9d2,0x0bfffea5,3 +np.float32,0xc23c893a,0x1d7fffde,3 +np.float32,0xc2a920c0,0x027fff6c,3 +np.float32,0xc1f9886f,0x2900002b,3 +np.float32,0xc2c42920,0x000000b5,3 +np.float32,0xc2893e41,0x0dfffec5,3 +np.float32,0xc2c4da93,0x00000080,3 +np.float32,0xc17f1401,0x3400000c,3 +np.float32,0xc1902cb6,0x327fffaf,3 +np.float32,0xc27c4e3b,0x11ffffc5,3 +np.float32,0xc268e5c5,0x157ffe9d,3 +np.float32,0xc2b4e953,0x0005a826,3 +np.float32,0xc287db5a,0x0e800016,3 +np.float32,0xc207db5a,0x2700000b,3 +np.float32,0xc2b2d4fe,0x000ffff1,3 +np.float32,0xc268e5c0,0x157fffdd,3 +np.float32,0xc22920bd,0x2100003b,3 +np.float32,0xc2902caf,0x0b80011e,3 +np.float32,0xc1902cba,0x327fff2f,3 +np.float32,0xc2ca6625,0x00000008,3 +np.float32,0xc280ece8,0x10fffeb5,3 +np.float32,0xc2918f94,0x0b0000ea,3 +np.float32,0xc29b43d5,0x077ffffc,3 +np.float32,0xc1e61ff7,0x2ab504f5,3 +np.float32,0xc2867878,0x0effff15,3 +np.float32,0xc2a2324a,0x04fffff4,3 +#float64 +## near zero ## +np.float64,0x8000000000000000,0x3ff0000000000000,1 +np.float64,0x8010000000000000,0x3ff0000000000000,1 +np.float64,0x8000000000000001,0x3ff0000000000000,1 +np.float64,0x8360000000000000,0x3ff0000000000000,1 +np.float64,0x9a70000000000000,0x3ff0000000000000,1 +np.float64,0xb9b0000000000000,0x3ff0000000000000,1 +np.float64,0xb810000000000000,0x3ff0000000000000,1 +np.float64,0xbc30000000000000,0x3ff0000000000000,1 +np.float64,0xb6a0000000000000,0x3ff0000000000000,1 +np.float64,0x0000000000000000,0x3ff0000000000000,1 +np.float64,0x0010000000000000,0x3ff0000000000000,1 +np.float64,0x0000000000000001,0x3ff0000000000000,1 +np.float64,0x0360000000000000,0x3ff0000000000000,1 +np.float64,0x1a70000000000000,0x3ff0000000000000,1 +np.float64,0x3c30000000000000,0x3ff0000000000000,1 +np.float64,0x36a0000000000000,0x3ff0000000000000,1 +np.float64,0x39b0000000000000,0x3ff0000000000000,1 +np.float64,0x3810000000000000,0x3ff0000000000000,1 +## underflow ## +np.float64,0xc0c6276800000000,0x0000000000000000,1 +np.float64,0xc0c62d918ce2421d,0x0000000000000000,1 +np.float64,0xc0c62d918ce2421e,0x0000000000000000,1 +np.float64,0xc0c62d91a0000000,0x0000000000000000,1 +np.float64,0xc0c62d9180000000,0x0000000000000000,1 +np.float64,0xc0c62dea45ee3e06,0x0000000000000000,1 +np.float64,0xc0c62dea45ee3e07,0x0000000000000000,1 +np.float64,0xc0c62dea40000000,0x0000000000000000,1 +np.float64,0xc0c62dea60000000,0x0000000000000000,1 +np.float64,0xc0875f1120000000,0x0000000000000000,1 +np.float64,0xc0875f113c30b1c8,0x0000000000000000,1 +np.float64,0xc0875f1140000000,0x0000000000000000,1 +np.float64,0xc093480000000000,0x0000000000000000,1 +np.float64,0xffefffffffffffff,0x0000000000000000,1 +np.float64,0xc7efffffe0000000,0x0000000000000000,1 +## overflow ## +np.float64,0x40862e52fefa39ef,0x7ff0000000000000,1 +np.float64,0x40872e42fefa39ef,0x7ff0000000000000,1 +## +/- INF, +/- NAN ## +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0xfff0000000000000,0x0000000000000000,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0xfff8000000000000,0xfff8000000000000,1 +## output denormal ## +np.float64,0xc087438520000000,0x0000000000000001,1 +np.float64,0xc08743853f2f4461,0x0000000000000001,1 +np.float64,0xc08743853f2f4460,0x0000000000000001,1 +np.float64,0xc087438540000000,0x0000000000000001,1 +## between -745.13321910 and 709.78271289 ## +np.float64,0xbff760cd14774bd9,0x3fcdb14ced00ceb6,1 +np.float64,0xbff760cd20000000,0x3fcdb14cd7993879,1 +np.float64,0xbff760cd00000000,0x3fcdb14d12fbd264,1 +np.float64,0xc07f1cf360000000,0x130c1b369af14fda,1 +np.float64,0xbeb0000000000000,0x3feffffe00001000,1 +np.float64,0xbd70000000000000,0x3fefffffffffe000,1 +np.float64,0xc084fd46e5c84952,0x0360000000000139,1 +np.float64,0xc084fd46e5c84953,0x035ffffffffffe71,1 +np.float64,0xc084fd46e0000000,0x0360000b9096d32c,1 +np.float64,0xc084fd4700000000,0x035fff9721d12104,1 +np.float64,0xc086232bc0000000,0x0010003af5e64635,1 +np.float64,0xc086232bdd7abcd2,0x001000000000007c,1 +np.float64,0xc086232bdd7abcd3,0x000ffffffffffe7c,1 +np.float64,0xc086232be0000000,0x000ffffaf57a6fc9,1 +np.float64,0xc086233920000000,0x000fe590e3b45eb0,1 +np.float64,0xc086233938000000,0x000fe56133493c57,1 +np.float64,0xc086233940000000,0x000fe5514deffbbc,1 +np.float64,0xc086234c98000000,0x000fbf1024c32ccb,1 +np.float64,0xc086234ca0000000,0x000fbf0065bae78d,1 +np.float64,0xc086234c80000000,0x000fbf3f623a7724,1 +np.float64,0xc086234ec0000000,0x000fbad237c846f9,1 +np.float64,0xc086234ec8000000,0x000fbac27cfdec97,1 +np.float64,0xc086234ee0000000,0x000fba934cfd3dc2,1 +np.float64,0xc086234ef0000000,0x000fba73d7f618d9,1 +np.float64,0xc086234f00000000,0x000fba54632dddc0,1 +np.float64,0xc0862356e0000000,0x000faae0945b761a,1 +np.float64,0xc0862356f0000000,0x000faac13eb9a310,1 +np.float64,0xc086235700000000,0x000faaa1e9567b0a,1 +np.float64,0xc086236020000000,0x000f98cd75c11ed7,1 +np.float64,0xc086236ca0000000,0x000f8081b4d93f89,1 +np.float64,0xc086236cb0000000,0x000f8062b3f4d6c5,1 +np.float64,0xc086236cc0000000,0x000f8043b34e6f8c,1 +np.float64,0xc086238d98000000,0x000f41220d9b0d2c,1 +np.float64,0xc086238da0000000,0x000f4112cc80a01f,1 +np.float64,0xc086238d80000000,0x000f414fd145db5b,1 +np.float64,0xc08624fd00000000,0x000cbfce8ea1e6c4,1 +np.float64,0xc086256080000000,0x000c250747fcd46e,1 +np.float64,0xc08626c480000000,0x000a34f4bd975193,1 +np.float64,0xbf50000000000000,0x3feff800ffeaac00,1 +np.float64,0xbe10000000000000,0x3fefffffff800000,1 +np.float64,0xbcd0000000000000,0x3feffffffffffff8,1 +np.float64,0xc055d589e0000000,0x38100004bf94f63e,1 +np.float64,0xc055d58a00000000,0x380ffff97f292ce8,1 +np.float64,0xbfd962d900000000,0x3fe585a4b00110e1,1 +np.float64,0x3ff4bed280000000,0x400d411e7a58a303,1 +np.float64,0x3fff0b3620000000,0x401bd7737ffffcf3,1 +np.float64,0x3ff0000000000000,0x4005bf0a8b145769,1 +np.float64,0x3eb0000000000000,0x3ff0000100000800,1 +np.float64,0x3d70000000000000,0x3ff0000000001000,1 +np.float64,0x40862e42e0000000,0x7fefff841808287f,1 +np.float64,0x40862e42fefa39ef,0x7fefffffffffff2a,1 +np.float64,0x40862e0000000000,0x7feef85a11e73f2d,1 +np.float64,0x4000000000000000,0x401d8e64b8d4ddae,1 +np.float64,0x4009242920000000,0x40372a52c383a488,1 +np.float64,0x4049000000000000,0x44719103e4080b45,1 +np.float64,0x4008000000000000,0x403415e5bf6fb106,1 +np.float64,0x3f50000000000000,0x3ff00400800aab55,1 +np.float64,0x3e10000000000000,0x3ff0000000400000,1 +np.float64,0x3cd0000000000000,0x3ff0000000000004,1 +np.float64,0x40562e40a0000000,0x47effed088821c3f,1 +np.float64,0x40562e42e0000000,0x47effff082e6c7ff,1 +np.float64,0x40562e4300000000,0x47f00000417184b8,1 +np.float64,0x3fe8000000000000,0x4000ef9db467dcf8,1 +np.float64,0x402b12e8d4f33589,0x412718f68c71a6fe,1 +np.float64,0x402b12e8d4f3358a,0x412718f68c71a70a,1 +np.float64,0x402b12e8c0000000,0x412718f59a7f472e,1 +np.float64,0x402b12e8e0000000,0x412718f70c0eac62,1 +##use 1th entry +np.float64,0x40631659AE147CB4,0x4db3a95025a4890f,1 +np.float64,0xC061B87D2E85A4E2,0x332640c8e2de2c51,1 +np.float64,0x405A4A50BE243AF4,0x496a45e4b7f0339a,1 +np.float64,0xC0839898B98EC5C6,0x0764027828830df4,1 +#use 2th entry +np.float64,0xC072428C44B6537C,0x2596ade838b96f3e,1 +np.float64,0xC053057C5E1AE9BF,0x3912c8fad18fdadf,1 +np.float64,0x407E89C78328BAA3,0x6bfe35d5b9a1a194,1 +np.float64,0x4083501B6DD87112,0x77a855503a38924e,1 +#use 3th entry +np.float64,0x40832C6195F24540,0x7741e73c80e5eb2f,1 +np.float64,0xC083D4CD557C2EC9,0x06b61727c2d2508e,1 +np.float64,0x400C48F5F67C99BD,0x404128820f02b92e,1 +np.float64,0x4056E36D9B2DF26A,0x4830f52ff34a8242,1 +#use 4th entry +np.float64,0x4080FF700D8CBD06,0x70fa70df9bc30f20,1 +np.float64,0x406C276D39E53328,0x543eb8e20a8f4741,1 +np.float64,0xC070D6159BBD8716,0x27a4a0548c904a75,1 +np.float64,0xC052EBCF8ED61F83,0x391c0e92368d15e4,1 +#use 5th entry +np.float64,0xC061F892A8AC5FBE,0x32f807a89efd3869,1 +np.float64,0x4021D885D2DBA085,0x40bd4dc86d3e3270,1 +np.float64,0x40767AEEEE7D4FCF,0x605e22851ee2afb7,1 +np.float64,0xC0757C5D75D08C80,0x20f0751599b992a2,1 +#use 6th entry +np.float64,0x405ACF7A284C4CE3,0x499a4e0b7a27027c,1 +np.float64,0xC085A6C9E80D7AF5,0x0175914009d62ec2,1 +np.float64,0xC07E4C02F86F1DAE,0x1439269b29a9231e,1 +np.float64,0x4080D80F9691CC87,0x7088a6cdafb041de,1 +#use 7th entry +np.float64,0x407FDFD84FBA0AC1,0x6deb1ae6f9bc4767,1 +np.float64,0x40630C06A1A2213D,0x4dac7a9d51a838b7,1 +np.float64,0x40685FDB30BB8B4F,0x5183f5cc2cac9e79,1 +np.float64,0x408045A2208F77F4,0x6ee299e08e2aa2f0,1 +#use 8th entry +np.float64,0xC08104E391F5078B,0x0ed397b7cbfbd230,1 +np.float64,0xC031501CAEFAE395,0x3e6040fd1ea35085,1 +np.float64,0xC079229124F6247C,0x1babf4f923306b1e,1 +np.float64,0x407FB65F44600435,0x6db03beaf2512b8a,1 +#use 9th entry +np.float64,0xC07EDEE8E8E8A5AC,0x136536cec9cbef48,1 +np.float64,0x4072BB4086099A14,0x5af4d3c3008b56cc,1 +np.float64,0x4050442A2EC42CB4,0x45cd393bd8fad357,1 +np.float64,0xC06AC28FB3D419B4,0x2ca1b9d3437df85f,1 +#use 10th entry +np.float64,0x40567FC6F0A68076,0x480c977fd5f3122e,1 +np.float64,0x40620A2F7EDA59BB,0x4cf278e96f4ce4d7,1 +np.float64,0xC085044707CD557C,0x034aad6c968a045a,1 +np.float64,0xC07374EA5AC516AA,0x23dd6afdc03e83d5,1 +#use 11th entry +np.float64,0x4073CC95332619C1,0x5c804b1498bbaa54,1 +np.float64,0xC0799FEBBE257F31,0x1af6a954c43b87d2,1 +np.float64,0x408159F19EA424F6,0x7200858efcbfc84d,1 +np.float64,0x404A81F6F24C0792,0x44b664a07ce5bbfa,1 +#use 12th entry +np.float64,0x40295FF1EFB9A741,0x4113c0e74c52d7b0,1 +np.float64,0x4073975F4CC411DA,0x5c32be40b4fec2c1,1 +np.float64,0x406E9DE52E82A77E,0x56049c9a3f1ae089,1 +np.float64,0x40748C2F52560ED9,0x5d93bc14fd4cd23b,1 +#use 13th entry +np.float64,0x4062A553CDC4D04C,0x4d6266bfde301318,1 +np.float64,0xC079EC1D63598AB7,0x1a88cb184dab224c,1 +np.float64,0xC0725C1CB3167427,0x25725b46f8a081f6,1 +np.float64,0x407888771D9B45F9,0x6353b1ec6bd7ce80,1 +#use 14th entry +np.float64,0xC082CBA03AA89807,0x09b383723831ce56,1 +np.float64,0xC083A8961BB67DD7,0x0735b118d5275552,1 +np.float64,0xC076BC6ECA12E7E3,0x1f2222679eaef615,1 +np.float64,0xC072752503AA1A5B,0x254eb832242c77e1,1 +#use 15th entry +np.float64,0xC058800792125DEC,0x371882372a0b48d4,1 +np.float64,0x4082909FD863E81C,0x7580d5f386920142,1 +np.float64,0xC071616F8FB534F9,0x26dbe20ef64a412b,1 +np.float64,0x406D1AB571CAA747,0x54ee0d55cb38ac20,1 +#use 16th entry +np.float64,0x406956428B7DAD09,0x52358682c271237f,1 +np.float64,0xC07EFC2D9D17B621,0x133b3e77c27a4d45,1 +np.float64,0xC08469BAC5BA3CCA,0x050863e5f42cc52f,1 +np.float64,0x407189D9626386A5,0x593cb1c0b3b5c1d3,1 +#use 17th entry +np.float64,0x4077E652E3DEB8C6,0x6269a10dcbd3c752,1 +np.float64,0x407674C97DB06878,0x605485dcc2426ec2,1 +np.float64,0xC07CE9969CF4268D,0x16386cf8996669f2,1 +np.float64,0x40780EE32D5847C4,0x62a436bd1abe108d,1 +#use 18th entry +np.float64,0x4076C3AA5E1E8DA1,0x60c62f56a5e72e24,1 +np.float64,0xC0730AFC7239B9BE,0x24758ead095cec1e,1 +np.float64,0xC085CC2B9C420DDB,0x0109cdaa2e5694c1,1 +np.float64,0x406D0765CB6D7AA4,0x54e06f8dd91bd945,1 +#use 19th entry +np.float64,0xC082D011F3B495E7,0x09a6647661d279c2,1 +np.float64,0xC072826AF8F6AFBC,0x253acd3cd224507e,1 +np.float64,0x404EB9C4810CEA09,0x457933dbf07e8133,1 +np.float64,0x408284FBC97C58CE,0x755f6eb234aa4b98,1 +#use 20th entry +np.float64,0x40856008CF6EDC63,0x7d9c0b3c03f4f73c,1 +np.float64,0xC077CB2E9F013B17,0x1d9b3d3a166a55db,1 +np.float64,0xC0479CA3C20AD057,0x3bad40e081555b99,1 +np.float64,0x40844CD31107332A,0x7a821d70aea478e2,1 +#use 21th entry +np.float64,0xC07C8FCC0BFCC844,0x16ba1cc8c539d19b,1 +np.float64,0xC085C4E9A3ABA488,0x011ff675ba1a2217,1 +np.float64,0x4074D538B32966E5,0x5dfd9d78043c6ad9,1 +np.float64,0xC0630CA16902AD46,0x3231a446074cede6,1 +#use 22th entry +np.float64,0xC06C826733D7D0B7,0x2b5f1078314d41e1,1 +np.float64,0xC0520DF55B2B907F,0x396c13a6ce8e833e,1 +np.float64,0xC080712072B0F437,0x107eae02d11d98ea,1 +np.float64,0x40528A6150E19EFB,0x469fdabda02228c5,1 +#use 23th entry +np.float64,0xC07B1D74B6586451,0x18d1253883ae3b48,1 +np.float64,0x4045AFD7867DAEC0,0x43d7d634fc4c5d98,1 +np.float64,0xC07A08B91F9ED3E2,0x1a60973e6397fc37,1 +np.float64,0x407B3ECF0AE21C8C,0x673e03e9d98d7235,1 +#use 24th entry +np.float64,0xC078AEB6F30CEABF,0x1c530b93ab54a1b3,1 +np.float64,0x4084495006A41672,0x7a775b6dc7e63064,1 +np.float64,0x40830B1C0EBF95DD,0x76e1e6eed77cfb89,1 +np.float64,0x407D93E8F33D8470,0x6a9adbc9e1e4f1e5,1 +#use 25th entry +np.float64,0x4066B11A09EFD9E8,0x504dd528065c28a7,1 +np.float64,0x408545823723AEEB,0x7d504a9b1844f594,1 +np.float64,0xC068C711F2CA3362,0x2e104f3496ea118e,1 +np.float64,0x407F317FCC3CA873,0x6cf0732c9948ebf4,1 +#use 26th entry +np.float64,0x407AFB3EBA2ED50F,0x66dc28a129c868d5,1 +np.float64,0xC075377037708ADE,0x21531a329f3d793e,1 +np.float64,0xC07C30066A1F3246,0x174448baa16ded2b,1 +np.float64,0xC06689A75DE2ABD3,0x2fad70662fae230b,1 +#use 27th entry +np.float64,0x4081514E9FCCF1E0,0x71e673b9efd15f44,1 +np.float64,0xC0762C710AF68460,0x1ff1ed7d8947fe43,1 +np.float64,0xC0468102FF70D9C4,0x3be0c3a8ff3419a3,1 +np.float64,0xC07EA4CEEF02A83E,0x13b908f085102c61,1 +#use 28th entry +np.float64,0xC06290B04AE823C4,0x328a83da3c2e3351,1 +np.float64,0xC0770EB1D1C395FB,0x1eab281c1f1db5fe,1 +np.float64,0xC06F5D4D838A5BAE,0x29500ea32fb474ea,1 +np.float64,0x40723B3133B54C5D,0x5a3c82c7c3a2b848,1 +#use 29th entry +np.float64,0x4085E6454CE3B4AA,0x7f20319b9638d06a,1 +np.float64,0x408389F2A0585D4B,0x7850667c58aab3d0,1 +np.float64,0xC0382798F9C8AE69,0x3dc1c79fe8739d6d,1 +np.float64,0xC08299D827608418,0x0a4335f76cdbaeb5,1 +#use 30th entry +np.float64,0xC06F3DED43301BF1,0x2965670ae46750a8,1 +np.float64,0xC070CAF6BDD577D9,0x27b4aa4ffdd29981,1 +np.float64,0x4078529AD4B2D9F2,0x6305c12755d5e0a6,1 +np.float64,0xC055B14E75A31B96,0x381c2eda6d111e5d,1 +#use 31th entry +np.float64,0x407B13EE414FA931,0x6700772c7544564d,1 +np.float64,0x407EAFDE9DE3EC54,0x6c346a0e49724a3c,1 +np.float64,0xC08362F398B9530D,0x07ffeddbadf980cb,1 +np.float64,0x407E865CDD9EEB86,0x6bf866cac5e0d126,1 +#use 32th entry +np.float64,0x407FB62DBC794C86,0x6db009f708ac62cb,1 +np.float64,0xC063D0BAA68CDDDE,0x31a3b2a51ce50430,1 +np.float64,0xC05E7706A2231394,0x34f24bead6fab5c9,1 +np.float64,0x4083E3A06FDE444E,0x79527b7a386d1937,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-exp2.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-exp2.csv new file mode 100644 index 0000000000000000000000000000000000000000..4e0a63e8e2c5061d6a158f9347a6085e5e8c4ffa --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-exp2.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xbdfe94b0,0x3f6adda6,2 +np.float32,0x3f20f8f8,0x3fc5ec69,2 +np.float32,0x7040b5,0x3f800000,2 +np.float32,0x30ec5,0x3f800000,2 +np.float32,0x3eb63070,0x3fa3ce29,2 +np.float32,0xff4dda3d,0x0,2 +np.float32,0x805b832f,0x3f800000,2 +np.float32,0x3e883fb7,0x3f99ed8c,2 +np.float32,0x3f14d71f,0x3fbf8708,2 +np.float32,0xff7b1e55,0x0,2 +np.float32,0xbf691ac6,0x3f082fa2,2 +np.float32,0x7ee3e6ab,0x7f800000,2 +np.float32,0xbec6e2b4,0x3f439248,2 +np.float32,0xbf5f5ec2,0x3f0bd2c0,2 +np.float32,0x8025cc2c,0x3f800000,2 +np.float32,0x7e0d7672,0x7f800000,2 +np.float32,0xff4bbc5c,0x0,2 +np.float32,0xbd94fb30,0x3f73696b,2 +np.float32,0x6cc079,0x3f800000,2 +np.float32,0x803cf080,0x3f800000,2 +np.float32,0x71d418,0x3f800000,2 +np.float32,0xbf24a442,0x3f23ec1e,2 +np.float32,0xbe6c9510,0x3f5a1e1d,2 +np.float32,0xbe8fb284,0x3f52be38,2 +np.float32,0x7ea64754,0x7f800000,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0x80620cfd,0x3f800000,2 +np.float32,0x3f3e20e8,0x3fd62e72,2 +np.float32,0x3f384600,0x3fd2d00e,2 +np.float32,0xff362150,0x0,2 +np.float32,0xbf349fa8,0x3f1cfaef,2 +np.float32,0xbf776cf2,0x3f0301a6,2 +np.float32,0x8021fc60,0x3f800000,2 +np.float32,0xbdb75280,0x3f70995c,2 +np.float32,0x7e9363a6,0x7f800000,2 +np.float32,0x7e728422,0x7f800000,2 +np.float32,0xfe91edc2,0x0,2 +np.float32,0x3f5f438c,0x3fea491d,2 +np.float32,0x3f2afae9,0x3fcb5c1f,2 +np.float32,0xbef8e766,0x3f36c448,2 +np.float32,0xba522c00,0x3f7fdb97,2 +np.float32,0xff18ee8c,0x0,2 +np.float32,0xbee8c5f4,0x3f3acd44,2 +np.float32,0x3e790448,0x3f97802c,2 +np.float32,0x3e8c9541,0x3f9ad571,2 +np.float32,0xbf03fa9f,0x3f331460,2 +np.float32,0x801ee053,0x3f800000,2 +np.float32,0xbf773230,0x3f03167f,2 +np.float32,0x356fd9,0x3f800000,2 +np.float32,0x8009cd88,0x3f800000,2 +np.float32,0x7f2bac51,0x7f800000,2 +np.float32,0x4d9eeb,0x3f800000,2 +np.float32,0x3133,0x3f800000,2 +np.float32,0x7f4290e0,0x7f800000,2 +np.float32,0xbf5e6523,0x3f0c3161,2 +np.float32,0x3f19182e,0x3fc1bf10,2 +np.float32,0x7e1248bb,0x7f800000,2 +np.float32,0xff5f7aae,0x0,2 +np.float32,0x7e8557b5,0x7f800000,2 +np.float32,0x26fc7f,0x3f800000,2 +np.float32,0x80397d61,0x3f800000,2 +np.float32,0x3cb1825d,0x3f81efe0,2 +np.float32,0x3ed808d0,0x3fab7c45,2 +np.float32,0xbf6f668a,0x3f05e259,2 +np.float32,0x3e3c7802,0x3f916abd,2 +np.float32,0xbd5ac5a0,0x3f76b21b,2 +np.float32,0x805aa6c9,0x3f800000,2 +np.float32,0xbe4d6f68,0x3f5ec3e1,2 +np.float32,0x3f3108b2,0x3fceb87f,2 +np.float32,0x3ec385cc,0x3fa6c9fb,2 +np.float32,0xbe9fc1ce,0x3f4e35e8,2 +np.float32,0x43b68,0x3f800000,2 +np.float32,0x3ef0cdcc,0x3fb15557,2 +np.float32,0x3e3f729b,0x3f91b5e1,2 +np.float32,0x7f52a4df,0x7f800000,2 +np.float32,0xbf56da96,0x3f0f15b9,2 +np.float32,0xbf161d2b,0x3f2a7faf,2 +np.float32,0x3e8df763,0x3f9b1fbe,2 +np.float32,0xff4f0780,0x0,2 +np.float32,0x8048f594,0x3f800000,2 +np.float32,0x3e62bb1d,0x3f953b7e,2 +np.float32,0xfe58e764,0x0,2 +np.float32,0x3dd2c922,0x3f897718,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0xff07b4b2,0x0,2 +np.float32,0x7f6231a0,0x7f800000,2 +np.float32,0xb8d1d,0x3f800000,2 +np.float32,0x3ee01d24,0x3fad5f16,2 +np.float32,0xbf43f59f,0x3f169869,2 +np.float32,0x801f5257,0x3f800000,2 +np.float32,0x803c15d8,0x3f800000,2 +np.float32,0x3f171a08,0x3fc0b42a,2 +np.float32,0x127aef,0x3f800000,2 +np.float32,0xfd1c6,0x3f800000,2 +np.float32,0x3f1ed13e,0x3fc4c59a,2 +np.float32,0x57fd4f,0x3f800000,2 +np.float32,0x6e8c61,0x3f800000,2 +np.float32,0x804019ab,0x3f800000,2 +np.float32,0x3ef4e5c6,0x3fb251a1,2 +np.float32,0x5044c3,0x3f800000,2 +np.float32,0x3f04460f,0x3fb7204b,2 +np.float32,0x7e326b47,0x7f800000,2 +np.float32,0x800a7e4c,0x3f800000,2 +np.float32,0xbf47ec82,0x3f14fccc,2 +np.float32,0xbedb1b3e,0x3f3e4a4d,2 +np.float32,0x3f741d86,0x3ff7e4b0,2 +np.float32,0xbe249d20,0x3f6501a6,2 +np.float32,0xbf2ea152,0x3f1f8c68,2 +np.float32,0x3ec6dbcc,0x3fa78b3f,2 +np.float32,0x7ebd9bb4,0x7f800000,2 +np.float32,0x3f61b574,0x3febd77a,2 +np.float32,0x3f3dfb2b,0x3fd61891,2 +np.float32,0x3c7d95,0x3f800000,2 +np.float32,0x8071e840,0x3f800000,2 +np.float32,0x15c6fe,0x3f800000,2 +np.float32,0xbf096601,0x3f307893,2 +np.float32,0x7f5c2ef9,0x7f800000,2 +np.float32,0xbe79f750,0x3f582689,2 +np.float32,0x1eb692,0x3f800000,2 +np.float32,0xbd8024f0,0x3f75226d,2 +np.float32,0xbf5a8be8,0x3f0da950,2 +np.float32,0xbf4d28f3,0x3f12e3e1,2 +np.float32,0x7f800000,0x7f800000,2 +np.float32,0xfea8a758,0x0,2 +np.float32,0x8075d2cf,0x3f800000,2 +np.float32,0xfd99af58,0x0,2 +np.float32,0x9e6a,0x3f800000,2 +np.float32,0x2fa19f,0x3f800000,2 +np.float32,0x3e9f4206,0x3f9ecc56,2 +np.float32,0xbee0b666,0x3f3cd9fc,2 +np.float32,0xbec558c4,0x3f43fab1,2 +np.float32,0x7e9a77df,0x7f800000,2 +np.float32,0xff3a9694,0x0,2 +np.float32,0x3f3b3708,0x3fd47f9a,2 +np.float32,0x807cd6d4,0x3f800000,2 +np.float32,0x804aa422,0x3f800000,2 +np.float32,0xfead7a70,0x0,2 +np.float32,0x3f08c610,0x3fb95efe,2 +np.float32,0xff390126,0x0,2 +np.float32,0x5d2d47,0x3f800000,2 +np.float32,0x8006849c,0x3f800000,2 +np.float32,0x654f6e,0x3f800000,2 +np.float32,0xff478a16,0x0,2 +np.float32,0x3f480b0c,0x3fdc024c,2 +np.float32,0xbc3b96c0,0x3f7df9f4,2 +np.float32,0xbcc96460,0x3f7bacb5,2 +np.float32,0x7f349f30,0x7f800000,2 +np.float32,0xbe08fa98,0x3f6954a1,2 +np.float32,0x4f3a13,0x3f800000,2 +np.float32,0x7f6a5ab4,0x7f800000,2 +np.float32,0x7eb85247,0x7f800000,2 +np.float32,0xbf287246,0x3f223e08,2 +np.float32,0x801584d0,0x3f800000,2 +np.float32,0x7ec25371,0x7f800000,2 +np.float32,0x3f002165,0x3fb51552,2 +np.float32,0x3e1108a8,0x3f8d3429,2 +np.float32,0x4f0f88,0x3f800000,2 +np.float32,0x7f67c1ce,0x7f800000,2 +np.float32,0xbf4348f8,0x3f16dedf,2 +np.float32,0xbe292b64,0x3f644d24,2 +np.float32,0xbf2bfa36,0x3f20b2d6,2 +np.float32,0xbf2a6e58,0x3f215f71,2 +np.float32,0x3e97d5d3,0x3f9d35df,2 +np.float32,0x31f597,0x3f800000,2 +np.float32,0x100544,0x3f800000,2 +np.float32,0x10a197,0x3f800000,2 +np.float32,0x3f44df50,0x3fda20d2,2 +np.float32,0x59916d,0x3f800000,2 +np.float32,0x707472,0x3f800000,2 +np.float32,0x8054194e,0x3f800000,2 +np.float32,0x80627b01,0x3f800000,2 +np.float32,0x7f4d5a5b,0x7f800000,2 +np.float32,0xbcecad00,0x3f7aeca5,2 +np.float32,0xff69c541,0x0,2 +np.float32,0xbe164e20,0x3f673c3a,2 +np.float32,0x3dd321de,0x3f897b39,2 +np.float32,0x3c9c4900,0x3f81b431,2 +np.float32,0x7f0efae3,0x7f800000,2 +np.float32,0xbf1b3ee6,0x3f282567,2 +np.float32,0x3ee858ac,0x3faf5083,2 +np.float32,0x3f0e6a39,0x3fbc3965,2 +np.float32,0x7f0c06d8,0x7f800000,2 +np.float32,0x801dd236,0x3f800000,2 +np.float32,0x564245,0x3f800000,2 +np.float32,0x7e99d3ad,0x7f800000,2 +np.float32,0xff3b0164,0x0,2 +np.float32,0x3f386f18,0x3fd2e785,2 +np.float32,0x7f603c39,0x7f800000,2 +np.float32,0x3cbd9b00,0x3f8211f0,2 +np.float32,0x2178e2,0x3f800000,2 +np.float32,0x5db226,0x3f800000,2 +np.float32,0xfec78d62,0x0,2 +np.float32,0x7f40bc1e,0x7f800000,2 +np.float32,0x80325064,0x3f800000,2 +np.float32,0x3f6068dc,0x3feb0377,2 +np.float32,0xfe8b95c6,0x0,2 +np.float32,0xbe496894,0x3f5f5f87,2 +np.float32,0xbf18722a,0x3f296cf4,2 +np.float32,0x332d0e,0x3f800000,2 +np.float32,0x3f6329dc,0x3fecc5c0,2 +np.float32,0x807d1802,0x3f800000,2 +np.float32,0x3e8afcee,0x3f9a7ff1,2 +np.float32,0x26a0a7,0x3f800000,2 +np.float32,0x7f13085d,0x7f800000,2 +np.float32,0x68d547,0x3f800000,2 +np.float32,0x7e9b04ae,0x7f800000,2 +np.float32,0x3f3ecdfe,0x3fd692ea,2 +np.float32,0x805256f4,0x3f800000,2 +np.float32,0x3f312dc8,0x3fcecd42,2 +np.float32,0x23ca15,0x3f800000,2 +np.float32,0x3f53c455,0x3fe31ad6,2 +np.float32,0xbf21186c,0x3f2580fd,2 +np.float32,0x803b9bb1,0x3f800000,2 +np.float32,0xff6ae1fc,0x0,2 +np.float32,0x2103cf,0x3f800000,2 +np.float32,0xbedcec6c,0x3f3dd29d,2 +np.float32,0x7f520afa,0x7f800000,2 +np.float32,0x7e8b44f2,0x7f800000,2 +np.float32,0xfef7f6ce,0x0,2 +np.float32,0xbd5e7c30,0x3f768a6f,2 +np.float32,0xfeb36848,0x0,2 +np.float32,0xff49effb,0x0,2 +np.float32,0xbec207c0,0x3f44dc74,2 +np.float32,0x3e91147f,0x3f9bc77f,2 +np.float32,0xfe784cd4,0x0,2 +np.float32,0xfd1a7250,0x0,2 +np.float32,0xff3b3f48,0x0,2 +np.float32,0x3f685db5,0x3ff0219f,2 +np.float32,0x3f370976,0x3fd21bae,2 +np.float32,0xfed4cc20,0x0,2 +np.float32,0xbf41e337,0x3f17714a,2 +np.float32,0xbf4e8638,0x3f12593a,2 +np.float32,0x3edaf0f1,0x3fac295e,2 +np.float32,0x803cbb4f,0x3f800000,2 +np.float32,0x7f492043,0x7f800000,2 +np.float32,0x2cabcf,0x3f800000,2 +np.float32,0x17f8ac,0x3f800000,2 +np.float32,0x3e846478,0x3f99205a,2 +np.float32,0x76948f,0x3f800000,2 +np.float32,0x1,0x3f800000,2 +np.float32,0x7ea6419e,0x7f800000,2 +np.float32,0xa5315,0x3f800000,2 +np.float32,0xff3a8e32,0x0,2 +np.float32,0xbe5714e8,0x3f5d50b7,2 +np.float32,0xfeadf960,0x0,2 +np.float32,0x3ebbd1a8,0x3fa50efc,2 +np.float32,0x7f31dce7,0x7f800000,2 +np.float32,0x80314999,0x3f800000,2 +np.float32,0x8017f41b,0x3f800000,2 +np.float32,0x7ed6d051,0x7f800000,2 +np.float32,0x7f525688,0x7f800000,2 +np.float32,0x7f7fffff,0x7f800000,2 +np.float32,0x3e8b0461,0x3f9a8180,2 +np.float32,0x3d9fe46e,0x3f871e1f,2 +np.float32,0x5e6d8f,0x3f800000,2 +np.float32,0xbf09ae55,0x3f305608,2 +np.float32,0xfe7028c4,0x0,2 +np.float32,0x7f3ade56,0x7f800000,2 +np.float32,0xff4c9ef9,0x0,2 +np.float32,0x7e3199cf,0x7f800000,2 +np.float32,0x8048652f,0x3f800000,2 +np.float32,0x805e1237,0x3f800000,2 +np.float32,0x189ed8,0x3f800000,2 +np.float32,0xbea7c094,0x3f4bfd98,2 +np.float32,0xbf2f109c,0x3f1f5c5c,2 +np.float32,0xbf0e7f4c,0x3f2e0d2c,2 +np.float32,0x8005981f,0x3f800000,2 +np.float32,0xbf762005,0x3f0377f3,2 +np.float32,0xbf0f60ab,0x3f2da317,2 +np.float32,0xbf4aa3e7,0x3f13e54e,2 +np.float32,0xbf348fd2,0x3f1d01aa,2 +np.float32,0x3e530b50,0x3f93a7fb,2 +np.float32,0xbf0b05a4,0x3f2fb26a,2 +np.float32,0x3eea416c,0x3fafc4aa,2 +np.float32,0x805ad04d,0x3f800000,2 +np.float32,0xbf6328d8,0x3f0a655e,2 +np.float32,0x3f7347b9,0x3ff75558,2 +np.float32,0xfda3ca68,0x0,2 +np.float32,0x80497d21,0x3f800000,2 +np.float32,0x3e740452,0x3f96fd22,2 +np.float32,0x3e528e57,0x3f939b7e,2 +np.float32,0x3e9e19fa,0x3f9e8cbd,2 +np.float32,0x8078060b,0x3f800000,2 +np.float32,0x3f3fea7a,0x3fd73872,2 +np.float32,0xfcfa30a0,0x0,2 +np.float32,0x7f4eb4bf,0x7f800000,2 +np.float32,0x3f712618,0x3ff5e900,2 +np.float32,0xbf668f0e,0x3f0920c6,2 +np.float32,0x3f3001e9,0x3fce259d,2 +np.float32,0xbe9b6fac,0x3f4f6b9c,2 +np.float32,0xbf61fcf3,0x3f0ad5ec,2 +np.float32,0xff08a55c,0x0,2 +np.float32,0x3e805014,0x3f984872,2 +np.float32,0x6ce04c,0x3f800000,2 +np.float32,0x7f7cbc07,0x7f800000,2 +np.float32,0x3c87dc,0x3f800000,2 +np.float32,0x3f2ee498,0x3fcd869a,2 +np.float32,0x4b1116,0x3f800000,2 +np.float32,0x3d382d06,0x3f840d5f,2 +np.float32,0xff7de21e,0x0,2 +np.float32,0x3f2f1d6d,0x3fcda63c,2 +np.float32,0xbf1c1618,0x3f27c38a,2 +np.float32,0xff4264b1,0x0,2 +np.float32,0x8026e5e7,0x3f800000,2 +np.float32,0xbe6fa180,0x3f59ab02,2 +np.float32,0xbe923c02,0x3f52053b,2 +np.float32,0xff3aa453,0x0,2 +np.float32,0x3f77a7ac,0x3ffa47d0,2 +np.float32,0xbed15f36,0x3f40d08a,2 +np.float32,0xa62d,0x3f800000,2 +np.float32,0xbf342038,0x3f1d3123,2 +np.float32,0x7f2f7f80,0x7f800000,2 +np.float32,0x7f2b6fc1,0x7f800000,2 +np.float32,0xff323540,0x0,2 +np.float32,0x3f1a2b6e,0x3fc24faa,2 +np.float32,0x800cc1d2,0x3f800000,2 +np.float32,0xff38fa01,0x0,2 +np.float32,0x80800000,0x3f800000,2 +np.float32,0xbf3d22e0,0x3f196745,2 +np.float32,0x7f40fd62,0x7f800000,2 +np.float32,0x7e1785c7,0x7f800000,2 +np.float32,0x807408c4,0x3f800000,2 +np.float32,0xbf300192,0x3f1ef485,2 +np.float32,0x351e3d,0x3f800000,2 +np.float32,0x7f5ab736,0x7f800000,2 +np.float32,0x2f1696,0x3f800000,2 +np.float32,0x806ac5d7,0x3f800000,2 +np.float32,0x42ec59,0x3f800000,2 +np.float32,0x7f79f52d,0x7f800000,2 +np.float32,0x44ad28,0x3f800000,2 +np.float32,0xbf49dc9c,0x3f143532,2 +np.float32,0x3f6c1f1f,0x3ff295e7,2 +np.float32,0x1589b3,0x3f800000,2 +np.float32,0x3f49b44e,0x3fdd0031,2 +np.float32,0x7f5942c9,0x7f800000,2 +np.float32,0x3f2dab28,0x3fccd877,2 +np.float32,0xff7fffff,0x0,2 +np.float32,0x80578eb2,0x3f800000,2 +np.float32,0x3f39ba67,0x3fd3a50b,2 +np.float32,0x8020340d,0x3f800000,2 +np.float32,0xbf6025b2,0x3f0b8783,2 +np.float32,0x8015ccfe,0x3f800000,2 +np.float32,0x3f6b9762,0x3ff23cd0,2 +np.float32,0xfeeb0c86,0x0,2 +np.float32,0x802779bc,0x3f800000,2 +np.float32,0xbf32bf64,0x3f1dc796,2 +np.float32,0xbf577eb6,0x3f0ed631,2 +np.float32,0x0,0x3f800000,2 +np.float32,0xfe99de6c,0x0,2 +np.float32,0x7a4e53,0x3f800000,2 +np.float32,0x1a15d3,0x3f800000,2 +np.float32,0x8035fe16,0x3f800000,2 +np.float32,0x3e845784,0x3f991dab,2 +np.float32,0x43d688,0x3f800000,2 +np.float32,0xbd447cc0,0x3f77a0b7,2 +np.float32,0x3f83fa,0x3f800000,2 +np.float32,0x3f141df2,0x3fbf2719,2 +np.float32,0x805c586a,0x3f800000,2 +np.float32,0x14c47e,0x3f800000,2 +np.float32,0x3d3bed00,0x3f8422d4,2 +np.float32,0x7f6f4ecd,0x7f800000,2 +np.float32,0x3f0a5e5a,0x3fba2c5c,2 +np.float32,0x523ecf,0x3f800000,2 +np.float32,0xbef4a6e8,0x3f37d262,2 +np.float32,0xff54eb58,0x0,2 +np.float32,0xff3fc875,0x0,2 +np.float32,0x8067c392,0x3f800000,2 +np.float32,0xfedae910,0x0,2 +np.float32,0x80595979,0x3f800000,2 +np.float32,0x3ee87d1d,0x3faf5929,2 +np.float32,0x7f5bad33,0x7f800000,2 +np.float32,0xbf45b868,0x3f15e109,2 +np.float32,0x3ef2277d,0x3fb1a868,2 +np.float32,0x3ca5a950,0x3f81ce8c,2 +np.float32,0x3e70f4e6,0x3f96ad25,2 +np.float32,0xfe3515bc,0x0,2 +np.float32,0xfe4af088,0x0,2 +np.float32,0xff3c78b2,0x0,2 +np.float32,0x7f50f51a,0x7f800000,2 +np.float32,0x3e3a232a,0x3f913009,2 +np.float32,0x7dfec6ff,0x7f800000,2 +np.float32,0x3e1bbaec,0x3f8e3ad6,2 +np.float32,0xbd658fa0,0x3f763ee7,2 +np.float32,0xfe958684,0x0,2 +np.float32,0x503670,0x3f800000,2 +np.float32,0x3f800000,0x40000000,2 +np.float32,0x1bbec6,0x3f800000,2 +np.float32,0xbea7bb7c,0x3f4bff00,2 +np.float32,0xff3a24a2,0x0,2 +np.float32,0xbf416240,0x3f17a635,2 +np.float32,0xbf800000,0x3f000000,2 +np.float32,0xff0c965c,0x0,2 +np.float32,0x80000000,0x3f800000,2 +np.float32,0xbec2c69a,0x3f44a99e,2 +np.float32,0x5b68d4,0x3f800000,2 +np.float32,0xb9a93000,0x3f7ff158,2 +np.float32,0x3d5a0dd8,0x3f84cfbc,2 +np.float32,0xbeaf7a28,0x3f49de4e,2 +np.float32,0x3ee83555,0x3faf4820,2 +np.float32,0xfd320330,0x0,2 +np.float32,0xe1af2,0x3f800000,2 +np.float32,0x7cf28caf,0x7f800000,2 +np.float32,0x80781009,0x3f800000,2 +np.float32,0xbf1e0baf,0x3f26e04d,2 +np.float32,0x7edb05b1,0x7f800000,2 +np.float32,0x3de004,0x3f800000,2 +np.float32,0xff436af6,0x0,2 +np.float32,0x802a9408,0x3f800000,2 +np.float32,0x7ed82205,0x7f800000,2 +np.float32,0x3e3f8212,0x3f91b767,2 +np.float32,0x16a2b2,0x3f800000,2 +np.float32,0xff1e5af3,0x0,2 +np.float32,0xbf1c860c,0x3f2790b7,2 +np.float32,0x3f3bc5da,0x3fd4d1d6,2 +np.float32,0x7f5f7085,0x7f800000,2 +np.float32,0x7f68e409,0x7f800000,2 +np.float32,0x7f4b3388,0x7f800000,2 +np.float32,0x7ecaf440,0x7f800000,2 +np.float32,0x80078785,0x3f800000,2 +np.float32,0x3ebd800d,0x3fa56f45,2 +np.float32,0xbe39a140,0x3f61c58e,2 +np.float32,0x803b587e,0x3f800000,2 +np.float32,0xbeaaa418,0x3f4b31c4,2 +np.float32,0xff7e2b9f,0x0,2 +np.float32,0xff5180a3,0x0,2 +np.float32,0xbf291394,0x3f21f73c,2 +np.float32,0x7f7b9698,0x7f800000,2 +np.float32,0x4218da,0x3f800000,2 +np.float32,0x7f135262,0x7f800000,2 +np.float32,0x804c10e8,0x3f800000,2 +np.float32,0xbf1c2a54,0x3f27ba5a,2 +np.float32,0x7f41fd32,0x7f800000,2 +np.float32,0x3e5cc464,0x3f94a195,2 +np.float32,0xff7a2fa7,0x0,2 +np.float32,0x3e05dc30,0x3f8c23c9,2 +np.float32,0x7f206d99,0x7f800000,2 +np.float32,0xbe9ae520,0x3f4f9287,2 +np.float32,0xfe4f4d58,0x0,2 +np.float32,0xbf44db42,0x3f163ae3,2 +np.float32,0x3f65ac48,0x3fee6300,2 +np.float32,0x3ebfaf36,0x3fa5ecb0,2 +np.float32,0x3f466719,0x3fdb08b0,2 +np.float32,0x80000001,0x3f800000,2 +np.float32,0xff4b3c7b,0x0,2 +np.float32,0x3df44374,0x3f8b0819,2 +np.float32,0xfea4b540,0x0,2 +np.float32,0x7f358e3d,0x7f800000,2 +np.float32,0x801f5e63,0x3f800000,2 +np.float32,0x804ae77e,0x3f800000,2 +np.float32,0xdbb5,0x3f800000,2 +np.float32,0x7f0a7e3b,0x7f800000,2 +np.float32,0xbe4152e4,0x3f609953,2 +np.float32,0x4b9579,0x3f800000,2 +np.float32,0x3ece0bd4,0x3fa92ea5,2 +np.float32,0x7e499d9a,0x7f800000,2 +np.float32,0x80637d8a,0x3f800000,2 +np.float32,0x3e50a425,0x3f936a8b,2 +np.float32,0xbf0e8cb0,0x3f2e06dd,2 +np.float32,0x802763e2,0x3f800000,2 +np.float32,0xff73041b,0x0,2 +np.float32,0xfea466da,0x0,2 +np.float32,0x80064c73,0x3f800000,2 +np.float32,0xbef29222,0x3f385728,2 +np.float32,0x8029c215,0x3f800000,2 +np.float32,0xbd3994e0,0x3f7815d1,2 +np.float32,0xbe6ac9e4,0x3f5a61f3,2 +np.float32,0x804b58b0,0x3f800000,2 +np.float32,0xbdb83be0,0x3f70865c,2 +np.float32,0x7ee18da2,0x7f800000,2 +np.float32,0xfd4ca010,0x0,2 +np.float32,0x807c668b,0x3f800000,2 +np.float32,0xbd40ed90,0x3f77c6e9,2 +np.float32,0x7efc6881,0x7f800000,2 +np.float32,0xfe633bfc,0x0,2 +np.float32,0x803ce363,0x3f800000,2 +np.float32,0x7ecba81e,0x7f800000,2 +np.float32,0xfdcb2378,0x0,2 +np.float32,0xbebc5524,0x3f4662b2,2 +np.float32,0xfaa30000,0x0,2 +np.float32,0x805d451b,0x3f800000,2 +np.float32,0xbee85600,0x3f3ae996,2 +np.float32,0xfefb0a54,0x0,2 +np.float32,0xbdfc6690,0x3f6b0a08,2 +np.float32,0x58a57,0x3f800000,2 +np.float32,0x3b41b7,0x3f800000,2 +np.float32,0x7c99812d,0x7f800000,2 +np.float32,0xbd3ae740,0x3f78079d,2 +np.float32,0xbf4a48a7,0x3f1409dd,2 +np.float32,0xfdeaad58,0x0,2 +np.float32,0xbe9aa65a,0x3f4fa42c,2 +np.float32,0x3f79d78c,0x3ffbc458,2 +np.float32,0x805e7389,0x3f800000,2 +np.float32,0x7ebb3612,0x7f800000,2 +np.float32,0x2e27dc,0x3f800000,2 +np.float32,0x80726dec,0x3f800000,2 +np.float32,0xfe8fb738,0x0,2 +np.float32,0xff1ff3bd,0x0,2 +np.float32,0x7f5264a2,0x7f800000,2 +np.float32,0x3f5a6893,0x3fe739ca,2 +np.float32,0xbec4029c,0x3f44558d,2 +np.float32,0xbef65cfa,0x3f37657e,2 +np.float32,0x63aba1,0x3f800000,2 +np.float32,0xfbb6e200,0x0,2 +np.float32,0xbf3466fc,0x3f1d1307,2 +np.float32,0x3f258844,0x3fc861d7,2 +np.float32,0xbf5f29a7,0x3f0be6dc,2 +np.float32,0x802b51cd,0x3f800000,2 +np.float32,0xbe9094dc,0x3f527dae,2 +np.float32,0xfec2e68c,0x0,2 +np.float32,0x807b38bd,0x3f800000,2 +np.float32,0xbf594662,0x3f0e2663,2 +np.float32,0x7cbcf747,0x7f800000,2 +np.float32,0xbe4b88f0,0x3f5f0d47,2 +np.float32,0x3c53c4,0x3f800000,2 +np.float32,0xbe883562,0x3f54e3f7,2 +np.float32,0xbf1efaf0,0x3f267456,2 +np.float32,0x3e22cd3e,0x3f8ee98b,2 +np.float32,0x80434875,0x3f800000,2 +np.float32,0xbf000b44,0x3f34ff6e,2 +np.float32,0x7f311c3a,0x7f800000,2 +np.float32,0x802f7f3f,0x3f800000,2 +np.float32,0x805155fe,0x3f800000,2 +np.float32,0x7f5d7485,0x7f800000,2 +np.float32,0x80119197,0x3f800000,2 +np.float32,0x3f445b8b,0x3fd9d30d,2 +np.float32,0xbf638eb3,0x3f0a3f38,2 +np.float32,0x402410,0x3f800000,2 +np.float32,0xbc578a40,0x3f7dad1d,2 +np.float32,0xbeecbf8a,0x3f39cc9e,2 +np.float32,0x7f2935a4,0x7f800000,2 +np.float32,0x3f570fea,0x3fe523e2,2 +np.float32,0xbf06bffa,0x3f31bdb6,2 +np.float32,0xbf2afdfd,0x3f2120ba,2 +np.float32,0x7f76f7ab,0x7f800000,2 +np.float32,0xfee2d1e8,0x0,2 +np.float32,0x800b026d,0x3f800000,2 +np.float32,0xff0eda75,0x0,2 +np.float32,0x3d4c,0x3f800000,2 +np.float32,0xbed538a2,0x3f3fcffb,2 +np.float32,0x3f73f4f9,0x3ff7c979,2 +np.float32,0x2aa9fc,0x3f800000,2 +np.float32,0x806a45b3,0x3f800000,2 +np.float32,0xff770d35,0x0,2 +np.float32,0x7e999be3,0x7f800000,2 +np.float32,0x80741128,0x3f800000,2 +np.float32,0xff6aac34,0x0,2 +np.float32,0x470f74,0x3f800000,2 +np.float32,0xff423b7b,0x0,2 +np.float32,0x17dfdd,0x3f800000,2 +np.float32,0x7f029e12,0x7f800000,2 +np.float32,0x803fcb9d,0x3f800000,2 +np.float32,0x3f3dc3,0x3f800000,2 +np.float32,0x7f3a27bc,0x7f800000,2 +np.float32,0x3e473108,0x3f9279ec,2 +np.float32,0x7f4add5d,0x7f800000,2 +np.float32,0xfd9736e0,0x0,2 +np.float32,0x805f1df2,0x3f800000,2 +np.float32,0x6c49c1,0x3f800000,2 +np.float32,0x7ec733c7,0x7f800000,2 +np.float32,0x804c1abf,0x3f800000,2 +np.float32,0x3de2e887,0x3f8a37a5,2 +np.float32,0x3f51630a,0x3fe1a561,2 +np.float32,0x3de686a8,0x3f8a62ff,2 +np.float32,0xbedb3538,0x3f3e439c,2 +np.float32,0xbf3aa892,0x3f1a6f9e,2 +np.float32,0x7ee5fb32,0x7f800000,2 +np.float32,0x7e916c9b,0x7f800000,2 +np.float32,0x3f033f1c,0x3fb69e19,2 +np.float32,0x25324b,0x3f800000,2 +np.float32,0x3f348d1d,0x3fd0b2e2,2 +np.float32,0x3f5797e8,0x3fe57851,2 +np.float32,0xbf69c316,0x3f07f1a0,2 +np.float32,0xbe8b7fb0,0x3f53f1bf,2 +np.float32,0xbdbbc190,0x3f703d00,2 +np.float32,0xff6c4fc0,0x0,2 +np.float32,0x7f29fcbe,0x7f800000,2 +np.float32,0x3f678d19,0x3fef9a23,2 +np.float32,0x73d140,0x3f800000,2 +np.float32,0x3e25bdd2,0x3f8f326b,2 +np.float32,0xbeb775ec,0x3f47b2c6,2 +np.float32,0xff451c4d,0x0,2 +np.float32,0x8072c466,0x3f800000,2 +np.float32,0x3f65e836,0x3fee89b2,2 +np.float32,0x52ca7a,0x3f800000,2 +np.float32,0x62cfed,0x3f800000,2 +np.float32,0xbf583dd0,0x3f0e8c5c,2 +np.float32,0xbf683842,0x3f088342,2 +np.float32,0x3f1a7828,0x3fc2780c,2 +np.float32,0x800ea979,0x3f800000,2 +np.float32,0xbeb9133c,0x3f474328,2 +np.float32,0x3ef09fc7,0x3fb14a4b,2 +np.float32,0x7ebbcb75,0x7f800000,2 +np.float32,0xff316c0e,0x0,2 +np.float32,0x805b84e3,0x3f800000,2 +np.float32,0x3d6a55e0,0x3f852d8a,2 +np.float32,0x3e755788,0x3f971fd1,2 +np.float32,0x3ee7aacb,0x3faf2743,2 +np.float32,0x7f714039,0x7f800000,2 +np.float32,0xff70bad8,0x0,2 +np.float32,0xbe0b74c8,0x3f68f08c,2 +np.float32,0xbf6cb170,0x3f06de86,2 +np.float32,0x7ec1fbff,0x7f800000,2 +np.float32,0x8014b1f6,0x3f800000,2 +np.float32,0xfe8b45fe,0x0,2 +np.float32,0x6e2220,0x3f800000,2 +np.float32,0x3ed1777d,0x3fa9f7ab,2 +np.float32,0xff48e467,0x0,2 +np.float32,0xff76c5aa,0x0,2 +np.float32,0x3e9bd330,0x3f9e0fd7,2 +np.float32,0x3f17de4f,0x3fc11aae,2 +np.float32,0x7eeaa2fd,0x7f800000,2 +np.float32,0xbf572746,0x3f0ef806,2 +np.float32,0x7e235554,0x7f800000,2 +np.float32,0xfe24fc1c,0x0,2 +np.float32,0x7daf71ad,0x7f800000,2 +np.float32,0x800d4a6b,0x3f800000,2 +np.float32,0xbf6fc31d,0x3f05c0ce,2 +np.float32,0x1c4d93,0x3f800000,2 +np.float32,0x7ee9200c,0x7f800000,2 +np.float32,0x3f54b4da,0x3fe3aeec,2 +np.float32,0x2b37b1,0x3f800000,2 +np.float32,0x3f7468bd,0x3ff81731,2 +np.float32,0x3f2850ea,0x3fc9e5f4,2 +np.float32,0xbe0d47ac,0x3f68a6f9,2 +np.float32,0x314877,0x3f800000,2 +np.float32,0x802700c3,0x3f800000,2 +np.float32,0x7e2c915f,0x7f800000,2 +np.float32,0x800d0059,0x3f800000,2 +np.float32,0x3f7f3c25,0x3fff7862,2 +np.float32,0xff735d31,0x0,2 +np.float32,0xff7e339e,0x0,2 +np.float32,0xbef96cf0,0x3f36a340,2 +np.float32,0x3db6ea21,0x3f882cb2,2 +np.float32,0x67cb3d,0x3f800000,2 +np.float32,0x801f349d,0x3f800000,2 +np.float32,0x3f1390ec,0x3fbede29,2 +np.float32,0x7f13644a,0x7f800000,2 +np.float32,0x804a369b,0x3f800000,2 +np.float32,0x80262666,0x3f800000,2 +np.float32,0x7e850fbc,0x7f800000,2 +np.float32,0x18b002,0x3f800000,2 +np.float32,0x8051f1ed,0x3f800000,2 +np.float32,0x3eba48f6,0x3fa4b753,2 +np.float32,0xbf3f4130,0x3f1886a9,2 +np.float32,0xbedac006,0x3f3e61cf,2 +np.float32,0xbf097c70,0x3f306ddc,2 +np.float32,0x4aba6d,0x3f800000,2 +np.float32,0x580078,0x3f800000,2 +np.float32,0x3f64d82e,0x3fedda40,2 +np.float32,0x7f781fd6,0x7f800000,2 +np.float32,0x6aff3d,0x3f800000,2 +np.float32,0xff25e074,0x0,2 +np.float32,0x7ea9ec89,0x7f800000,2 +np.float32,0xbf63b816,0x3f0a2fbb,2 +np.float32,0x133f07,0x3f800000,2 +np.float32,0xff800000,0x0,2 +np.float32,0x8013dde7,0x3f800000,2 +np.float32,0xff770b95,0x0,2 +np.float32,0x806154e8,0x3f800000,2 +np.float32,0x3f1e7bce,0x3fc4981a,2 +np.float32,0xff262c78,0x0,2 +np.float32,0x3f59a652,0x3fe6c04c,2 +np.float32,0x7f220166,0x7f800000,2 +np.float32,0x7eb24939,0x7f800000,2 +np.float32,0xbed58bb0,0x3f3fba6a,2 +np.float32,0x3c2ad000,0x3f80eda7,2 +np.float32,0x2adb2e,0x3f800000,2 +np.float32,0xfe8b213e,0x0,2 +np.float32,0xbf2e0c1e,0x3f1fccea,2 +np.float32,0x7e1716be,0x7f800000,2 +np.float32,0x80184e73,0x3f800000,2 +np.float32,0xbf254743,0x3f23a3d5,2 +np.float32,0x8063a722,0x3f800000,2 +np.float32,0xbe50adf0,0x3f5e46c7,2 +np.float32,0x3f614158,0x3feb8d60,2 +np.float32,0x8014bbc8,0x3f800000,2 +np.float32,0x283bc7,0x3f800000,2 +np.float32,0x3ffb5c,0x3f800000,2 +np.float32,0xfe8de6bc,0x0,2 +np.float32,0xbea6e086,0x3f4c3b82,2 +np.float32,0xfee64b92,0x0,2 +np.float32,0x506c1a,0x3f800000,2 +np.float32,0xff342af8,0x0,2 +np.float32,0x6b6f4c,0x3f800000,2 +np.float32,0xfeb42b1e,0x0,2 +np.float32,0x3e49384a,0x3f92ad71,2 +np.float32,0x152d08,0x3f800000,2 +np.float32,0x804c8f09,0x3f800000,2 +np.float32,0xff5e927d,0x0,2 +np.float32,0x6374da,0x3f800000,2 +np.float32,0x3f48f011,0x3fdc8ae4,2 +np.float32,0xbf446a30,0x3f1668e8,2 +np.float32,0x3ee77073,0x3faf196e,2 +np.float32,0xff4caa40,0x0,2 +np.float32,0x7efc9363,0x7f800000,2 +np.float32,0xbf706dcc,0x3f05830d,2 +np.float32,0xfe29c7e8,0x0,2 +np.float32,0x803cfe58,0x3f800000,2 +np.float32,0x3ec34c7c,0x3fa6bd0a,2 +np.float32,0x3eb85b62,0x3fa44968,2 +np.float32,0xfda1b9d8,0x0,2 +np.float32,0x802932cd,0x3f800000,2 +np.float32,0xbf5cde78,0x3f0cc5fa,2 +np.float32,0x3f31bf44,0x3fcf1ec8,2 +np.float32,0x803a0882,0x3f800000,2 +np.float32,0x800000,0x3f800000,2 +np.float32,0x3f54110e,0x3fe34a08,2 +np.float32,0x80645ea9,0x3f800000,2 +np.float32,0xbd8c1070,0x3f7425c3,2 +np.float32,0x801a006a,0x3f800000,2 +np.float32,0x7f5d161e,0x7f800000,2 +np.float32,0x805b5df3,0x3f800000,2 +np.float32,0xbf71a7c0,0x3f0511be,2 +np.float32,0xbe9a55c0,0x3f4fbad6,2 +np.float64,0xde7e2fd9bcfc6,0x3ff0000000000000,1 +np.float64,0xbfd8cd88eb319b12,0x3fe876349efbfa2b,1 +np.float64,0x3fe4fa13ace9f428,0x3ff933fbb117d196,1 +np.float64,0x475b3d048eb68,0x3ff0000000000000,1 +np.float64,0x7fef39ed07be73d9,0x7ff0000000000000,1 +np.float64,0x80026b84d904d70a,0x3ff0000000000000,1 +np.float64,0xebd60627d7ac1,0x3ff0000000000000,1 +np.float64,0xbfd7cbefdbaf97e0,0x3fe8bad30f6cf8e1,1 +np.float64,0x7fc17c605a22f8c0,0x7ff0000000000000,1 +np.float64,0x8cdac05119b58,0x3ff0000000000000,1 +np.float64,0x3fc45cd60a28b9ac,0x3ff1dd8028ec3f41,1 +np.float64,0x7fef4fce137e9f9b,0x7ff0000000000000,1 +np.float64,0xe5a2b819cb457,0x3ff0000000000000,1 +np.float64,0xe3bcfd4dc77a0,0x3ff0000000000000,1 +np.float64,0x68f0b670d1e17,0x3ff0000000000000,1 +np.float64,0xae69a6455cd35,0x3ff0000000000000,1 +np.float64,0xffe7007a0c6e00f4,0x0,1 +np.float64,0x59fc57a8b3f8c,0x3ff0000000000000,1 +np.float64,0xbfeee429c0bdc854,0x3fe0638fa62bed9f,1 +np.float64,0x80030bb6e206176f,0x3ff0000000000000,1 +np.float64,0x8006967a36ad2cf5,0x3ff0000000000000,1 +np.float64,0x3fe128176a22502f,0x3ff73393301e5dc8,1 +np.float64,0x218de20c431bd,0x3ff0000000000000,1 +np.float64,0x3fe7dbc48aafb789,0x3ffad38989b5955c,1 +np.float64,0xffda1ef411343de8,0x0,1 +np.float64,0xc6b392838d673,0x3ff0000000000000,1 +np.float64,0x7fe6d080c1ada101,0x7ff0000000000000,1 +np.float64,0xbfed36dd67fa6dbb,0x3fe0fec342c4ee89,1 +np.float64,0x3fee2bb6a3fc576e,0x3ffec1c149f1f092,1 +np.float64,0xbfd1f785eb23ef0c,0x3fea576eb01233cb,1 +np.float64,0x7fdad29a1f35a533,0x7ff0000000000000,1 +np.float64,0xffe8928c4fb12518,0x0,1 +np.float64,0x7fb123160022462b,0x7ff0000000000000,1 +np.float64,0x8007ab56cfaf56ae,0x3ff0000000000000,1 +np.float64,0x7fda342d6634685a,0x7ff0000000000000,1 +np.float64,0xbfe3b7e42c676fc8,0x3fe4e05cf8685b8a,1 +np.float64,0xffa708be7c2e1180,0x0,1 +np.float64,0xbfe8ffbece31ff7e,0x3fe29eb84077a34a,1 +np.float64,0xbf91002008220040,0x3fefa245058f05cb,1 +np.float64,0x8000281f0ee0503f,0x3ff0000000000000,1 +np.float64,0x8005617adc2ac2f6,0x3ff0000000000000,1 +np.float64,0x7fa84fec60309fd8,0x7ff0000000000000,1 +np.float64,0x8d00c0231a018,0x3ff0000000000000,1 +np.float64,0xbfdfe52ca63fca5a,0x3fe6a7324cc00d57,1 +np.float64,0x7fcc81073d39020d,0x7ff0000000000000,1 +np.float64,0x800134ff5a6269ff,0x3ff0000000000000,1 +np.float64,0xffc7fff98d2ffff4,0x0,1 +np.float64,0x8000925ce50124bb,0x3ff0000000000000,1 +np.float64,0xffe2530c66a4a618,0x0,1 +np.float64,0x7fc99070673320e0,0x7ff0000000000000,1 +np.float64,0xbfddd5c1f13bab84,0x3fe72a0c80f8df39,1 +np.float64,0x3fe1c220fee38442,0x3ff7817ec66aa55b,1 +np.float64,0x3fb9a1e1043343c2,0x3ff1265e575e6404,1 +np.float64,0xffef72e0833ee5c0,0x0,1 +np.float64,0x3fe710c0416e2181,0x3ffa5e93588aaa69,1 +np.float64,0xbfd8d23cbab1a47a,0x3fe874f5b9d99885,1 +np.float64,0x7fe9628ebd72c51c,0x7ff0000000000000,1 +np.float64,0xdd5fa611babf5,0x3ff0000000000000,1 +np.float64,0x8002bafac86575f6,0x3ff0000000000000,1 +np.float64,0x68acea44d159e,0x3ff0000000000000,1 +np.float64,0xffd776695eaeecd2,0x0,1 +np.float64,0x80059b59bb4b36b4,0x3ff0000000000000,1 +np.float64,0xbdcdd2af7b9bb,0x3ff0000000000000,1 +np.float64,0x8002b432ee856867,0x3ff0000000000000,1 +np.float64,0xcbc72f09978e6,0x3ff0000000000000,1 +np.float64,0xbfee8f4bf6fd1e98,0x3fe081cc0318b170,1 +np.float64,0xffc6e2892d2dc514,0x0,1 +np.float64,0x7feb682e4db6d05c,0x7ff0000000000000,1 +np.float64,0x8004b70a04296e15,0x3ff0000000000000,1 +np.float64,0x42408a4284812,0x3ff0000000000000,1 +np.float64,0xbfe9b8b197f37163,0x3fe254b4c003ce0a,1 +np.float64,0x3fcaadf5f5355bec,0x3ff27ca7876a8d20,1 +np.float64,0xfff0000000000000,0x0,1 +np.float64,0x7fea8376d33506ed,0x7ff0000000000000,1 +np.float64,0xffef73c2d63ee785,0x0,1 +np.float64,0xffe68b2bae2d1657,0x0,1 +np.float64,0x3fd8339cb2306739,0x3ff4cb774d616f90,1 +np.float64,0xbfc6d1db4d2da3b8,0x3fec47bb873a309c,1 +np.float64,0x7fe858016230b002,0x7ff0000000000000,1 +np.float64,0x7fe74cb99d2e9972,0x7ff0000000000000,1 +np.float64,0xffec2e96dc385d2d,0x0,1 +np.float64,0xb762a9876ec55,0x3ff0000000000000,1 +np.float64,0x3feca230c5794462,0x3ffdbfe62a572f52,1 +np.float64,0xbfb5ebad3a2bd758,0x3fee27eed86dcc39,1 +np.float64,0x471c705a8e38f,0x3ff0000000000000,1 +np.float64,0x7fc79bb5cf2f376b,0x7ff0000000000000,1 +np.float64,0xbfe53d6164ea7ac3,0x3fe4331b3beb73bd,1 +np.float64,0xbfe375a3f766eb48,0x3fe4fe67edb516e6,1 +np.float64,0x3fe1c7686ca38ed1,0x3ff7842f04770ba9,1 +np.float64,0x242e74dc485cf,0x3ff0000000000000,1 +np.float64,0x8009c06ab71380d6,0x3ff0000000000000,1 +np.float64,0x3fd08505efa10a0c,0x3ff3227b735b956d,1 +np.float64,0xffe3dfcecda7bf9d,0x0,1 +np.float64,0x8001f079bbc3e0f4,0x3ff0000000000000,1 +np.float64,0x3fddc706b6bb8e0c,0x3ff616d927987363,1 +np.float64,0xbfd151373ea2a26e,0x3fea870ba53ec126,1 +np.float64,0x7fe89533bfb12a66,0x7ff0000000000000,1 +np.float64,0xffed302cbc3a6059,0x0,1 +np.float64,0x3fd871cc28b0e398,0x3ff4d97d58c16ae2,1 +np.float64,0x7fbe9239683d2472,0x7ff0000000000000,1 +np.float64,0x848a445909149,0x3ff0000000000000,1 +np.float64,0x8007b104ce2f620a,0x3ff0000000000000,1 +np.float64,0x7fc2cd6259259ac4,0x7ff0000000000000,1 +np.float64,0xbfeadb640df5b6c8,0x3fe1e2b068de10af,1 +np.float64,0x800033b2f1a06767,0x3ff0000000000000,1 +np.float64,0x7fe54e5b7caa9cb6,0x7ff0000000000000,1 +np.float64,0x4f928f209f26,0x3ff0000000000000,1 +np.float64,0x8003c3dc6f2787ba,0x3ff0000000000000,1 +np.float64,0xbfd55a59daaab4b4,0x3fe9649d57b32b5d,1 +np.float64,0xffe3e2968d67c52c,0x0,1 +np.float64,0x80087434d550e86a,0x3ff0000000000000,1 +np.float64,0xffdde800083bd000,0x0,1 +np.float64,0xffe291f0542523e0,0x0,1 +np.float64,0xbfe1419bc3e28338,0x3fe6051d4f95a34a,1 +np.float64,0x3fd9d00ee1b3a01e,0x3ff5292bb8d5f753,1 +np.float64,0x3fdb720b60b6e417,0x3ff589d133625374,1 +np.float64,0xbfe3e21f0967c43e,0x3fe4cd4d02e3ef9a,1 +np.float64,0x7fd7e27f3dafc4fd,0x7ff0000000000000,1 +np.float64,0x3fd1cc2620a3984c,0x3ff366befbc38e3e,1 +np.float64,0x3fe78d05436f1a0b,0x3ffaa5ee4ea54b79,1 +np.float64,0x7e2acc84fc55a,0x3ff0000000000000,1 +np.float64,0x800ffb861c5ff70c,0x3ff0000000000000,1 +np.float64,0xffb2b0db1a2561b8,0x0,1 +np.float64,0xbfe80c2363701847,0x3fe301fdfe789576,1 +np.float64,0x7fe383c1c3e70783,0x7ff0000000000000,1 +np.float64,0xbfeefc02e6fdf806,0x3fe05b1a8528bf6c,1 +np.float64,0xbfe42c9268285925,0x3fe4abdc14793cb8,1 +np.float64,0x1,0x3ff0000000000000,1 +np.float64,0xa71c7ce94e390,0x3ff0000000000000,1 +np.float64,0x800ed4e6777da9cd,0x3ff0000000000000,1 +np.float64,0x3fde11b35d3c2367,0x3ff628bdc6dd1b78,1 +np.float64,0x3fef3964dbfe72ca,0x3fff777cae357608,1 +np.float64,0x3fefe369b7ffc6d4,0x3fffec357be508a3,1 +np.float64,0xbfdef1855f3de30a,0x3fe6e348c58e3fed,1 +np.float64,0x3fee0e2bc13c1c58,0x3ffeae1909c1b973,1 +np.float64,0xbfd31554ffa62aaa,0x3fea06628b2f048a,1 +np.float64,0x800dc56bcc7b8ad8,0x3ff0000000000000,1 +np.float64,0x7fbba01b8e374036,0x7ff0000000000000,1 +np.float64,0x7fd9737a92b2e6f4,0x7ff0000000000000,1 +np.float64,0x3feeae0fac3d5c1f,0x3fff1913705f1f07,1 +np.float64,0x3fdcc64fcdb98ca0,0x3ff5d9c3e5862972,1 +np.float64,0x3fdad9f83db5b3f0,0x3ff56674e81c1bd1,1 +np.float64,0x32b8797065710,0x3ff0000000000000,1 +np.float64,0x3fd20deae6241bd6,0x3ff37495bc057394,1 +np.float64,0x7fc899f0763133e0,0x7ff0000000000000,1 +np.float64,0x80045805fc08b00d,0x3ff0000000000000,1 +np.float64,0xbfcd8304cb3b0608,0x3feb4611f1eaa30c,1 +np.float64,0x3fd632a2fcac6544,0x3ff4592e1ea14fb0,1 +np.float64,0xffeeb066007d60cb,0x0,1 +np.float64,0x800bb12a42b76255,0x3ff0000000000000,1 +np.float64,0xbfe060fe1760c1fc,0x3fe6714640ab2574,1 +np.float64,0x80067ed737acfdaf,0x3ff0000000000000,1 +np.float64,0x3fd5ec3211abd864,0x3ff449adea82e73e,1 +np.float64,0x7fc4b2fdc22965fb,0x7ff0000000000000,1 +np.float64,0xff656afd002ad600,0x0,1 +np.float64,0xffeadefcdcb5bdf9,0x0,1 +np.float64,0x80052f18610a5e32,0x3ff0000000000000,1 +np.float64,0xbfd5b75c78ab6eb8,0x3fe94b15e0f39194,1 +np.float64,0xa4d3de2b49a7c,0x3ff0000000000000,1 +np.float64,0xbfe321c93de64392,0x3fe524ac7bbee401,1 +np.float64,0x3feb32f5def665ec,0x3ffcd6e4e5f9c271,1 +np.float64,0x7fe6b07e4ced60fc,0x7ff0000000000000,1 +np.float64,0x3fe013bb2de02776,0x3ff6aa4c32ab5ba4,1 +np.float64,0xbfeadd81d375bb04,0x3fe1e1de89b4aebf,1 +np.float64,0xffece7678079cece,0x0,1 +np.float64,0x3fe3d87b8467b0f8,0x3ff897cf22505e4d,1 +np.float64,0xffc4e3a05129c740,0x0,1 +np.float64,0xbfddee6b03bbdcd6,0x3fe723dd83ab49bd,1 +np.float64,0x3fcc4e2672389c4d,0x3ff2a680db769116,1 +np.float64,0x3fd8ed221ab1da44,0x3ff4f569aec8b850,1 +np.float64,0x80000a3538a0146b,0x3ff0000000000000,1 +np.float64,0x8004832eb109065e,0x3ff0000000000000,1 +np.float64,0xffdca83c60395078,0x0,1 +np.float64,0xffef551cda3eaa39,0x0,1 +np.float64,0x800fd95dd65fb2bc,0x3ff0000000000000,1 +np.float64,0x3ff0000000000000,0x4000000000000000,1 +np.float64,0xbfc06f5c4f20deb8,0x3fed466c17305ad8,1 +np.float64,0xbfeb01b5f476036c,0x3fe1d3de0f4211f4,1 +np.float64,0xbfdb2b9284365726,0x3fe7d7b02f790b05,1 +np.float64,0xff76ba83202d7500,0x0,1 +np.float64,0x3fd3f1c59ea7e38c,0x3ff3db96b3a0aaad,1 +np.float64,0x8b99ff6d17340,0x3ff0000000000000,1 +np.float64,0xbfeb383aa0f67075,0x3fe1bedcf2531c08,1 +np.float64,0x3fe321e35fa643c7,0x3ff83749a5d686ee,1 +np.float64,0xbfd863eb2130c7d6,0x3fe8923fcc39bac7,1 +np.float64,0x9e71dd333ce3c,0x3ff0000000000000,1 +np.float64,0x9542962b2a853,0x3ff0000000000000,1 +np.float64,0xba2c963b74593,0x3ff0000000000000,1 +np.float64,0x80019f4d0ca33e9b,0x3ff0000000000000,1 +np.float64,0xffde3e39a73c7c74,0x0,1 +np.float64,0x800258ae02c4b15d,0x3ff0000000000000,1 +np.float64,0xbfd99a535a3334a6,0x3fe8402f3a0662a5,1 +np.float64,0xe6c62143cd8c4,0x3ff0000000000000,1 +np.float64,0x7fbcc828f0399051,0x7ff0000000000000,1 +np.float64,0xbfe42e3596285c6b,0x3fe4ab2066d66071,1 +np.float64,0xffe2ee42d365dc85,0x0,1 +np.float64,0x3fe1f98abea3f315,0x3ff79dc68002a80b,1 +np.float64,0x7fd7225891ae44b0,0x7ff0000000000000,1 +np.float64,0x477177408ee30,0x3ff0000000000000,1 +np.float64,0xbfe16a7e2162d4fc,0x3fe5f1a5c745385d,1 +np.float64,0xbf98aaee283155e0,0x3fef785952e9c089,1 +np.float64,0x7fd7c14a8daf8294,0x7ff0000000000000,1 +np.float64,0xf7e7713defcee,0x3ff0000000000000,1 +np.float64,0x800769aa11aed355,0x3ff0000000000000,1 +np.float64,0xbfed30385e3a6071,0x3fe10135a3bd9ae6,1 +np.float64,0x3fe6dd7205edbae4,0x3ffa4155899efd70,1 +np.float64,0x800d705d26bae0ba,0x3ff0000000000000,1 +np.float64,0xa443ac1f48876,0x3ff0000000000000,1 +np.float64,0xbfec8cfec43919fe,0x3fe13dbf966e6633,1 +np.float64,0x7fd246efaa248dde,0x7ff0000000000000,1 +np.float64,0x800f2ad14afe55a3,0x3ff0000000000000,1 +np.float64,0x800487a894c90f52,0x3ff0000000000000,1 +np.float64,0x80014c4f19e2989f,0x3ff0000000000000,1 +np.float64,0x3fc11f265f223e4d,0x3ff18def05c971e5,1 +np.float64,0xffeb6d565776daac,0x0,1 +np.float64,0x7fd5ca5df8ab94bb,0x7ff0000000000000,1 +np.float64,0xbfe33de4fde67bca,0x3fe517d0e212cd1c,1 +np.float64,0xbfd1c738e5a38e72,0x3fea6539e9491693,1 +np.float64,0xbfec1d8c33b83b18,0x3fe16790fbca0c65,1 +np.float64,0xbfeecb464b7d968d,0x3fe06c67e2aefa55,1 +np.float64,0xbfd621dbf1ac43b8,0x3fe92dfa32d93846,1 +np.float64,0x80069a02860d3406,0x3ff0000000000000,1 +np.float64,0xbfe84f650e309eca,0x3fe2e661300f1975,1 +np.float64,0x7fc1d2cec523a59d,0x7ff0000000000000,1 +np.float64,0x3fd7706d79aee0db,0x3ff49fb033353dfe,1 +np.float64,0xffd94ba458329748,0x0,1 +np.float64,0x7fea98ba1a753173,0x7ff0000000000000,1 +np.float64,0xbfe756ba092ead74,0x3fe34d428d1857bc,1 +np.float64,0xffecfbd836b9f7b0,0x0,1 +np.float64,0x3fd211fbe5a423f8,0x3ff375711a3641e0,1 +np.float64,0x7fee24f7793c49ee,0x7ff0000000000000,1 +np.float64,0x7fe6a098886d4130,0x7ff0000000000000,1 +np.float64,0xbfd4ade909a95bd2,0x3fe99436524db1f4,1 +np.float64,0xbfeb704e6476e09d,0x3fe1a95be4a21bc6,1 +np.float64,0xffefc0f6627f81ec,0x0,1 +np.float64,0x7feff3f896ffe7f0,0x7ff0000000000000,1 +np.float64,0xa3f74edb47eea,0x3ff0000000000000,1 +np.float64,0xbfe0a551cf214aa4,0x3fe65027a7ff42e3,1 +np.float64,0x3fe164b23622c964,0x3ff7521c6225f51d,1 +np.float64,0x7fc258752324b0e9,0x7ff0000000000000,1 +np.float64,0x4739b3348e737,0x3ff0000000000000,1 +np.float64,0xb0392b1d60726,0x3ff0000000000000,1 +np.float64,0x7fe26f42e5e4de85,0x7ff0000000000000,1 +np.float64,0x8004601f87e8c040,0x3ff0000000000000,1 +np.float64,0xffe92ce37b3259c6,0x0,1 +np.float64,0x3fe620da3a6c41b4,0x3ff9d6ee3d005466,1 +np.float64,0x3fd850cfa2b0a1a0,0x3ff4d20bd249d411,1 +np.float64,0xffdcdfdfb5b9bfc0,0x0,1 +np.float64,0x800390297d672054,0x3ff0000000000000,1 +np.float64,0x3fde5864f6bcb0ca,0x3ff639bb9321f5ef,1 +np.float64,0x3fee484cec7c909a,0x3ffed4d2c6274219,1 +np.float64,0x7fe9b9a064b37340,0x7ff0000000000000,1 +np.float64,0xffe50028b8aa0051,0x0,1 +np.float64,0x3fe37774ade6eee9,0x3ff864558498a9a8,1 +np.float64,0x7fef83c724bf078d,0x7ff0000000000000,1 +np.float64,0xbfeb58450fb6b08a,0x3fe1b290556be73d,1 +np.float64,0x7fd7161475ae2c28,0x7ff0000000000000,1 +np.float64,0x3fece09621f9c12c,0x3ffde836a583bbdd,1 +np.float64,0x3fd045790ea08af2,0x3ff31554778fd4e2,1 +np.float64,0xbfe7c7dd6cef8fbb,0x3fe31e2eeda857fc,1 +np.float64,0xffe9632f5372c65e,0x0,1 +np.float64,0x800d4f3a703a9e75,0x3ff0000000000000,1 +np.float64,0xffea880e4df5101c,0x0,1 +np.float64,0xbfeb7edc4ff6fdb8,0x3fe1a3cb5dc33594,1 +np.float64,0xbfcaae4bab355c98,0x3febb1ee65e16b58,1 +np.float64,0xbfde598a19bcb314,0x3fe709145eafaaf8,1 +np.float64,0x3feefb6d78fdf6db,0x3fff4d5c8c68e39a,1 +np.float64,0x13efc75427dfa,0x3ff0000000000000,1 +np.float64,0xffe26f65c064decb,0x0,1 +np.float64,0xbfed5c1addfab836,0x3fe0f1133bd2189a,1 +np.float64,0x7fe7a7cf756f4f9e,0x7ff0000000000000,1 +np.float64,0xffc681702e2d02e0,0x0,1 +np.float64,0x8003d6ab5067ad57,0x3ff0000000000000,1 +np.float64,0xffa695f1342d2be0,0x0,1 +np.float64,0xbfcf8857db3f10b0,0x3feafa14da8c29a4,1 +np.float64,0xbfe8ca06be71940e,0x3fe2b46f6d2c64b4,1 +np.float64,0x3451c74468a3a,0x3ff0000000000000,1 +np.float64,0x3fde47d5f6bc8fac,0x3ff635bf8e024716,1 +np.float64,0xffda159d5db42b3a,0x0,1 +np.float64,0x7fef9fecaa3f3fd8,0x7ff0000000000000,1 +np.float64,0x3fd4e745e3a9ce8c,0x3ff410a9cb6fd8bf,1 +np.float64,0xffef57019b3eae02,0x0,1 +np.float64,0xbfe6604f4f6cc09e,0x3fe3b55de43c626d,1 +np.float64,0xffe066a424a0cd48,0x0,1 +np.float64,0x3fd547de85aa8fbc,0x3ff425b2a7a16675,1 +np.float64,0xffb3c69280278d28,0x0,1 +np.float64,0xffebe0b759f7c16e,0x0,1 +np.float64,0x3fefc84106ff9082,0x3fffd973687337d8,1 +np.float64,0x501c42a4a0389,0x3ff0000000000000,1 +np.float64,0x7feb45d13eb68ba1,0x7ff0000000000000,1 +np.float64,0xbfb16a8c2e22d518,0x3fee86a9c0f9291a,1 +np.float64,0x3be327b877c66,0x3ff0000000000000,1 +np.float64,0x7fe4a58220694b03,0x7ff0000000000000,1 +np.float64,0x3fe0286220a050c4,0x3ff6b472157ab8f2,1 +np.float64,0x3fc9381825327030,0x3ff2575fbea2bf5d,1 +np.float64,0xbfd1af7ee8a35efe,0x3fea6c032cf7e669,1 +np.float64,0xbfea9b0f39b5361e,0x3fe1fbae14b40b4d,1 +np.float64,0x39efe4aa73dfd,0x3ff0000000000000,1 +np.float64,0xffeb06fdc8360dfb,0x0,1 +np.float64,0xbfda481e72b4903c,0x3fe812b4b08d4884,1 +np.float64,0xbfd414ba5ba82974,0x3fe9bec9474bdfe6,1 +np.float64,0x7fe707177b6e0e2e,0x7ff0000000000000,1 +np.float64,0x8000000000000001,0x3ff0000000000000,1 +np.float64,0xbfede6a75bbbcd4f,0x3fe0be874cccd399,1 +np.float64,0x8006cdb577cd9b6c,0x3ff0000000000000,1 +np.float64,0x800051374f20a26f,0x3ff0000000000000,1 +np.float64,0x3fe5cba8c96b9752,0x3ff9a76b3adcc122,1 +np.float64,0xbfee3933487c7267,0x3fe0a0b190f9609a,1 +np.float64,0x3fd574b8d8aae970,0x3ff42f7e83de1af9,1 +np.float64,0xba5db72b74bb7,0x3ff0000000000000,1 +np.float64,0x3fa9bf512c337ea0,0x3ff0914a7f743a94,1 +np.float64,0xffe8cb736c3196e6,0x0,1 +np.float64,0x3761b2f06ec37,0x3ff0000000000000,1 +np.float64,0x8b4d4433169a9,0x3ff0000000000000,1 +np.float64,0x800f0245503e048b,0x3ff0000000000000,1 +np.float64,0x7fb20d54ac241aa8,0x7ff0000000000000,1 +np.float64,0x3fdf26666b3e4ccd,0x3ff66b8995142017,1 +np.float64,0xbfcbf2a83737e550,0x3feb8173a7b9d6b5,1 +np.float64,0x3fd31572a0a62ae5,0x3ff3ac6c94313dcd,1 +np.float64,0x7fb6c2807a2d8500,0x7ff0000000000000,1 +np.float64,0x800799758f2f32ec,0x3ff0000000000000,1 +np.float64,0xe72f1f6bce5e4,0x3ff0000000000000,1 +np.float64,0x3fe0e0f223a1c1e4,0x3ff70fed5b761673,1 +np.float64,0x3fe6d4f133eda9e2,0x3ffa3c8000c169eb,1 +np.float64,0xbfe1ccc3d8639988,0x3fe5c32148bedbda,1 +np.float64,0x3fea71c53574e38a,0x3ffc5f31201fe9be,1 +np.float64,0x9e0323eb3c065,0x3ff0000000000000,1 +np.float64,0x8005cc79a5cb98f4,0x3ff0000000000000,1 +np.float64,0x1dace1f83b59d,0x3ff0000000000000,1 +np.float64,0x10000000000000,0x3ff0000000000000,1 +np.float64,0xbfdef50830bdea10,0x3fe6e269fc17ebef,1 +np.float64,0x8010000000000000,0x3ff0000000000000,1 +np.float64,0xbfdfa82192bf5044,0x3fe6b6313ee0a095,1 +np.float64,0x3fd9398fe2b27320,0x3ff506ca2093c060,1 +np.float64,0x8002721fe664e441,0x3ff0000000000000,1 +np.float64,0x800c04166ad8082d,0x3ff0000000000000,1 +np.float64,0xffec3918b3387230,0x0,1 +np.float64,0x3fec62d5dfb8c5ac,0x3ffd972ea4a54b32,1 +np.float64,0x3fe7e42a0b6fc854,0x3ffad86b0443181d,1 +np.float64,0x3fc0aff5f3215fec,0x3ff1836058d4d210,1 +np.float64,0xbf82ff68a025fec0,0x3fefcb7f06862dce,1 +np.float64,0xae2e35195c5c7,0x3ff0000000000000,1 +np.float64,0x3fece3bddf79c77c,0x3ffdea41fb1ba8fa,1 +np.float64,0xbfa97b947832f730,0x3feeea34ebedbbd2,1 +np.float64,0xbfdfb1b1ce3f6364,0x3fe6b3d72871335c,1 +np.float64,0xbfe61a4f24ac349e,0x3fe3d356bf991b06,1 +np.float64,0x7fe23117a5e4622e,0x7ff0000000000000,1 +np.float64,0x800552a8cccaa552,0x3ff0000000000000,1 +np.float64,0x625b4d0ac4b6a,0x3ff0000000000000,1 +np.float64,0x3f86cf15702d9e00,0x3ff01fbe0381676d,1 +np.float64,0x800d7d1b685afa37,0x3ff0000000000000,1 +np.float64,0x3fe2cb6e40a596dd,0x3ff80a1a562f7fc9,1 +np.float64,0x3fe756eb8e2eadd7,0x3ffa86c638aad07d,1 +np.float64,0x800dc9a5513b934b,0x3ff0000000000000,1 +np.float64,0xbfbbdd118a37ba20,0x3fedacb4624f3cee,1 +np.float64,0x800de01f8efbc03f,0x3ff0000000000000,1 +np.float64,0x800da1a3fe9b4348,0x3ff0000000000000,1 +np.float64,0xbf87d8c7602fb180,0x3fefbe2614998ab6,1 +np.float64,0xbfdfff6141bffec2,0x3fe6a0c54d9f1bc8,1 +np.float64,0xee8fbba5dd1f8,0x3ff0000000000000,1 +np.float64,0x3fe79dc93e6f3b92,0x3ffaaf9d7d955b2c,1 +np.float64,0xffedd4b3d07ba967,0x0,1 +np.float64,0x800905dfc1720bc0,0x3ff0000000000000,1 +np.float64,0x3fd9e483b8b3c907,0x3ff52ddc6c950e7f,1 +np.float64,0xe34ffefdc6a00,0x3ff0000000000000,1 +np.float64,0x2168e62242d1e,0x3ff0000000000000,1 +np.float64,0x800349950e26932b,0x3ff0000000000000,1 +np.float64,0x7fc50da8532a1b50,0x7ff0000000000000,1 +np.float64,0xae1a4d115c34a,0x3ff0000000000000,1 +np.float64,0xa020f0b74041e,0x3ff0000000000000,1 +np.float64,0x3fd2aa2f77a5545f,0x3ff3959f09519a25,1 +np.float64,0x3fbfefc3223fdf86,0x3ff171f3df2d408b,1 +np.float64,0xbfea9fc340b53f86,0x3fe1f9d92b712654,1 +np.float64,0xffe9b920a5337240,0x0,1 +np.float64,0xbfe2eb0265e5d605,0x3fe53dd195782de3,1 +np.float64,0x7fb932c70e32658d,0x7ff0000000000000,1 +np.float64,0x3fda816bfcb502d8,0x3ff551f8d5c84c82,1 +np.float64,0x3fed68cbe9fad198,0x3ffe40f6692d5693,1 +np.float64,0x32df077665be2,0x3ff0000000000000,1 +np.float64,0x7fdc9c2f3539385d,0x7ff0000000000000,1 +np.float64,0x7fe71091a2ee2122,0x7ff0000000000000,1 +np.float64,0xbfe68106c46d020e,0x3fe3a76b56024c2c,1 +np.float64,0xffcf0572823e0ae4,0x0,1 +np.float64,0xbfeeab341fbd5668,0x3fe077d496941cda,1 +np.float64,0x7fe7ada0d2af5b41,0x7ff0000000000000,1 +np.float64,0xffacdef2a439bde0,0x0,1 +np.float64,0x3fe4200f3128401e,0x3ff8be0ddf30fd1e,1 +np.float64,0xffd9022a69320454,0x0,1 +np.float64,0xbfe8e06914f1c0d2,0x3fe2ab5fe7fffb5a,1 +np.float64,0x3fc4b976602972ed,0x3ff1e6786fa7a890,1 +np.float64,0xbfd784c105af0982,0x3fe8cdeb1cdbd57e,1 +np.float64,0x7feb20a20eb64143,0x7ff0000000000000,1 +np.float64,0xbfc87dd83630fbb0,0x3fec067c1e7e6983,1 +np.float64,0x7fe5400cbe6a8018,0x7ff0000000000000,1 +np.float64,0xbfb4a1f5e22943e8,0x3fee42e6c81559a9,1 +np.float64,0x3fe967c575f2cf8a,0x3ffbbd8bc0d5c50d,1 +np.float64,0xbfeb059cf4760b3a,0x3fe1d25c592c4dab,1 +np.float64,0xbfeef536d5bdea6e,0x3fe05d832c15c64a,1 +np.float64,0x3fa90b3f6432167f,0x3ff08d410dd732cc,1 +np.float64,0xbfeaff265e75fe4d,0x3fe1d4db3fb3208d,1 +np.float64,0x6d93d688db27b,0x3ff0000000000000,1 +np.float64,0x800ab9b4ea55736a,0x3ff0000000000000,1 +np.float64,0x3fd444b39d288967,0x3ff3ed749d48d444,1 +np.float64,0xbfd5f2c0d0abe582,0x3fe93ad6124d88e7,1 +np.float64,0x3fea8fd915f51fb2,0x3ffc71b32cb92d60,1 +np.float64,0xbfd23d6491a47aca,0x3fea43875709b0f0,1 +np.float64,0xffe76f75ce6edeeb,0x0,1 +np.float64,0x1f5670da3eacf,0x3ff0000000000000,1 +np.float64,0x8000d89c9621b13a,0x3ff0000000000000,1 +np.float64,0x3fedb51c52bb6a39,0x3ffe732279c228ff,1 +np.float64,0x7f99215ac83242b5,0x7ff0000000000000,1 +np.float64,0x742a6864e854e,0x3ff0000000000000,1 +np.float64,0xbfe02fb340205f66,0x3fe689495f9164e3,1 +np.float64,0x7fef4c12b0fe9824,0x7ff0000000000000,1 +np.float64,0x3fd40e17c2a81c30,0x3ff3e1aee8ed972f,1 +np.float64,0x7fdcd264e939a4c9,0x7ff0000000000000,1 +np.float64,0x3fdb675838b6ceb0,0x3ff587526241c550,1 +np.float64,0x3fdf1a4081be3480,0x3ff66896a18c2385,1 +np.float64,0xbfea5082b874a106,0x3fe218cf8f11be13,1 +np.float64,0xffe1a0ebf7e341d8,0x0,1 +np.float64,0x3fed0a2222ba1444,0x3ffe032ce928ae7d,1 +np.float64,0xffeae036da75c06d,0x0,1 +np.float64,0x5b05fc8ab60c0,0x3ff0000000000000,1 +np.float64,0x7fd8aae5f03155cb,0x7ff0000000000000,1 +np.float64,0xbfd0b4d9fda169b4,0x3feab41e58b6ccb7,1 +np.float64,0xffdcaffa57395ff4,0x0,1 +np.float64,0xbfcbf1455437e28c,0x3feb81a884182c5d,1 +np.float64,0x3f9d6700b83ace01,0x3ff0525657db35d4,1 +np.float64,0x4fd5b0b29fab7,0x3ff0000000000000,1 +np.float64,0x3fe9af2df5b35e5c,0x3ffbe895684df916,1 +np.float64,0x800dfd41f9dbfa84,0x3ff0000000000000,1 +np.float64,0xbf2a30457e546,0x3ff0000000000000,1 +np.float64,0x7fc6be37182d7c6d,0x7ff0000000000000,1 +np.float64,0x800e0f9788dc1f2f,0x3ff0000000000000,1 +np.float64,0x8006890c704d121a,0x3ff0000000000000,1 +np.float64,0xffecb1a7cbb9634f,0x0,1 +np.float64,0xffb35c330426b868,0x0,1 +np.float64,0x7fe8f2ba8a71e574,0x7ff0000000000000,1 +np.float64,0xf3ccff8fe79a0,0x3ff0000000000000,1 +np.float64,0x3fdf19a84e3e3351,0x3ff66871b17474c1,1 +np.float64,0x80049a662d0934cd,0x3ff0000000000000,1 +np.float64,0xdf5bb4bbbeb77,0x3ff0000000000000,1 +np.float64,0x8005eca030cbd941,0x3ff0000000000000,1 +np.float64,0xffe5f239586be472,0x0,1 +np.float64,0xbfc4526a0728a4d4,0x3fecaa52fbf5345e,1 +np.float64,0xbfe8f1ecda31e3da,0x3fe2a44c080848b3,1 +np.float64,0x3feebd32f4bd7a66,0x3fff234788938c3e,1 +np.float64,0xffd6ca04e9ad940a,0x0,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0xbfd4c560a9a98ac2,0x3fe98db6d97442fc,1 +np.float64,0x8005723471cae46a,0x3ff0000000000000,1 +np.float64,0xbfeb278299764f05,0x3fe1c54b48f8ba4b,1 +np.float64,0x8007907b376f20f7,0x3ff0000000000000,1 +np.float64,0x7fe9c2fd01b385f9,0x7ff0000000000000,1 +np.float64,0x7fdaa37368b546e6,0x7ff0000000000000,1 +np.float64,0xbfe6d0f3786da1e7,0x3fe38582271cada7,1 +np.float64,0xbfea9b77823536ef,0x3fe1fb8575cd1b7d,1 +np.float64,0xbfe90ac38bf21587,0x3fe29a471b47a2e8,1 +np.float64,0xbfe9c51844738a30,0x3fe24fc8de03ea84,1 +np.float64,0x3fe45a9013a8b520,0x3ff8dd7c80f1cf75,1 +np.float64,0xbfe5780551eaf00a,0x3fe419832a6a4c56,1 +np.float64,0xffefffffffffffff,0x0,1 +np.float64,0x7fe3778c84a6ef18,0x7ff0000000000000,1 +np.float64,0xbfdc8a60413914c0,0x3fe77dc55b85028f,1 +np.float64,0xef47ae2fde8f6,0x3ff0000000000000,1 +np.float64,0x8001269fa4c24d40,0x3ff0000000000000,1 +np.float64,0x3fe9d2d39e73a5a7,0x3ffbfe2a66c4148e,1 +np.float64,0xffee61f528fcc3e9,0x0,1 +np.float64,0x3fe8a259ab7144b3,0x3ffb47e797a34bd2,1 +np.float64,0x3f906d610820dac0,0x3ff02dccda8e1a75,1 +np.float64,0x3fe70739f32e0e74,0x3ffa59232f4fcd07,1 +np.float64,0x3fe6b7f5e6ad6fec,0x3ffa2c0cc54f2c16,1 +np.float64,0x95a91a792b524,0x3ff0000000000000,1 +np.float64,0xbfedf6fcf57bedfa,0x3fe0b89bb40081cc,1 +np.float64,0xbfa4d2de9c29a5c0,0x3fef1c485678d657,1 +np.float64,0x3fe130470d22608e,0x3ff737b0be409a38,1 +np.float64,0x3fcf8035423f006b,0x3ff2f9d7c3c6a302,1 +np.float64,0xffe5995a3eab32b4,0x0,1 +np.float64,0xffca68c63034d18c,0x0,1 +np.float64,0xff9d53af903aa760,0x0,1 +np.float64,0x800563f1de6ac7e4,0x3ff0000000000000,1 +np.float64,0x7fce284fa63c509e,0x7ff0000000000000,1 +np.float64,0x7fb2a3959a25472a,0x7ff0000000000000,1 +np.float64,0x7fdbe2652f37c4c9,0x7ff0000000000000,1 +np.float64,0x800d705bbc1ae0b8,0x3ff0000000000000,1 +np.float64,0x7fd9bd2347b37a46,0x7ff0000000000000,1 +np.float64,0x3fcac3c0fb358782,0x3ff27ed62d6c8221,1 +np.float64,0x800110691ec220d3,0x3ff0000000000000,1 +np.float64,0x3fef79a8157ef350,0x3fffa368513eb909,1 +np.float64,0x7fe8bd2f0e317a5d,0x7ff0000000000000,1 +np.float64,0x7fd3040e60a6081c,0x7ff0000000000000,1 +np.float64,0xffea50723234a0e4,0x0,1 +np.float64,0xbfe6220054ac4400,0x3fe3d00961238a93,1 +np.float64,0x3f9eddd8c83dbbc0,0x3ff0567b0c73005a,1 +np.float64,0xbfa4a062c42940c0,0x3fef1e68badde324,1 +np.float64,0xbfd077ad4720ef5a,0x3feac5d577581d07,1 +np.float64,0x7fdfd4b025bfa95f,0x7ff0000000000000,1 +np.float64,0xd00d3cf3a01a8,0x3ff0000000000000,1 +np.float64,0x7fe3010427260207,0x7ff0000000000000,1 +np.float64,0x22ea196645d44,0x3ff0000000000000,1 +np.float64,0x7fd747e8cd2e8fd1,0x7ff0000000000000,1 +np.float64,0xd50665e7aa0cd,0x3ff0000000000000,1 +np.float64,0x7fe1da580ae3b4af,0x7ff0000000000000,1 +np.float64,0xffeb218ecfb6431d,0x0,1 +np.float64,0xbf887d0dd030fa00,0x3fefbc6252c8b354,1 +np.float64,0x3fcaa31067354621,0x3ff27b904c07e07f,1 +np.float64,0x7fe698cc4ded3198,0x7ff0000000000000,1 +np.float64,0x1c40191a38804,0x3ff0000000000000,1 +np.float64,0x80086fd20e30dfa4,0x3ff0000000000000,1 +np.float64,0x7fed34d5eaba69ab,0x7ff0000000000000,1 +np.float64,0xffd00b52622016a4,0x0,1 +np.float64,0x3f80abcdb021579b,0x3ff0172d27945851,1 +np.float64,0x3fe614cfd66c29a0,0x3ff9d031e1839191,1 +np.float64,0x80021d71c8843ae4,0x3ff0000000000000,1 +np.float64,0x800bc2adc657855c,0x3ff0000000000000,1 +np.float64,0x6b9fec1cd73fe,0x3ff0000000000000,1 +np.float64,0xffd9093b5f321276,0x0,1 +np.float64,0x800d3c6c77fa78d9,0x3ff0000000000000,1 +np.float64,0xffe80fc1cbf01f83,0x0,1 +np.float64,0xffbffbaf2a3ff760,0x0,1 +np.float64,0x3fea1ed29eb43da5,0x3ffc2c64ec0e17a3,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0x3fd944a052328941,0x3ff5094f4c43ecca,1 +np.float64,0x800b1f9416163f29,0x3ff0000000000000,1 +np.float64,0x800f06bf33de0d7e,0x3ff0000000000000,1 +np.float64,0xbfdbf0d226b7e1a4,0x3fe7a4f73793d95b,1 +np.float64,0xffe7306c30ae60d8,0x0,1 +np.float64,0x7fe991accfb32359,0x7ff0000000000000,1 +np.float64,0x3fcc0040d2380082,0x3ff29ea47e4f07d4,1 +np.float64,0x7fefffffffffffff,0x7ff0000000000000,1 +np.float64,0x0,0x3ff0000000000000,1 +np.float64,0x3fe1423f7be2847e,0x3ff740bc1d3b20f8,1 +np.float64,0xbfeae3a3cab5c748,0x3fe1df7e936f8504,1 +np.float64,0x800b2da7d6165b50,0x3ff0000000000000,1 +np.float64,0x800b2404fcd6480a,0x3ff0000000000000,1 +np.float64,0x6fcbcf88df97b,0x3ff0000000000000,1 +np.float64,0xa248c0e14492,0x3ff0000000000000,1 +np.float64,0xffd255776824aaee,0x0,1 +np.float64,0x80057b3effeaf67f,0x3ff0000000000000,1 +np.float64,0x3feb0b07d7761610,0x3ffcbdfe1be5a594,1 +np.float64,0x924e1019249c2,0x3ff0000000000000,1 +np.float64,0x80074307e80e8611,0x3ff0000000000000,1 +np.float64,0xffb207fa46240ff8,0x0,1 +np.float64,0x95ac388d2b587,0x3ff0000000000000,1 +np.float64,0xbff0000000000000,0x3fe0000000000000,1 +np.float64,0x3fd38b6a492716d5,0x3ff3c59f62b5add5,1 +np.float64,0x7fe49362c3e926c5,0x7ff0000000000000,1 +np.float64,0x7fe842889db08510,0x7ff0000000000000,1 +np.float64,0xbfba6003e834c008,0x3fedcb620a2d9856,1 +np.float64,0xffe7e782bd6fcf05,0x0,1 +np.float64,0x7fd9b93d9433727a,0x7ff0000000000000,1 +np.float64,0x7fc8fcb61d31f96b,0x7ff0000000000000,1 +np.float64,0xbfef9be8db3f37d2,0x3fe022d603b81dc2,1 +np.float64,0x6f4fc766de9fa,0x3ff0000000000000,1 +np.float64,0xbfe93016f132602e,0x3fe28b42d782d949,1 +np.float64,0x3fe10e52b8e21ca5,0x3ff726a38b0bb895,1 +np.float64,0x3fbbba0ae6377416,0x3ff13f56084a9da3,1 +np.float64,0x3fe09e42ece13c86,0x3ff6eeb57e775e24,1 +np.float64,0x800942e39fb285c8,0x3ff0000000000000,1 +np.float64,0xffe5964370eb2c86,0x0,1 +np.float64,0x3fde479f32bc8f3e,0x3ff635b2619ba53a,1 +np.float64,0x3fe826e187f04dc3,0x3ffaff52b79c3a08,1 +np.float64,0x3febcbf1eab797e4,0x3ffd37152e5e2598,1 +np.float64,0x3fa0816a202102d4,0x3ff05c8e6a8b00d5,1 +np.float64,0xbd005ccb7a00c,0x3ff0000000000000,1 +np.float64,0x44c12fdc89827,0x3ff0000000000000,1 +np.float64,0xffc8fdffa431fc00,0x0,1 +np.float64,0xffeb4f5a87b69eb4,0x0,1 +np.float64,0xbfb07e7f8420fd00,0x3fee9a32924fe6a0,1 +np.float64,0xbfbd9d1bb63b3a38,0x3fed88ca81e5771c,1 +np.float64,0x8008682a74f0d055,0x3ff0000000000000,1 +np.float64,0x3fdeedbc7b3ddb79,0x3ff65dcb7c55f4dc,1 +np.float64,0x8009e889c613d114,0x3ff0000000000000,1 +np.float64,0x3faea831f43d5064,0x3ff0ad935e890e49,1 +np.float64,0xf0af1703e15e3,0x3ff0000000000000,1 +np.float64,0xffec06c4a5f80d88,0x0,1 +np.float64,0x53a1cc0ca743a,0x3ff0000000000000,1 +np.float64,0x7fd10c9eea22193d,0x7ff0000000000000,1 +np.float64,0xbfd48a6bf0a914d8,0x3fe99e0d109f2bac,1 +np.float64,0x3fd6dfe931adbfd4,0x3ff47f81c2dfc5d3,1 +np.float64,0x3fed20e86b7a41d0,0x3ffe11fecc7bc686,1 +np.float64,0xbfea586818b4b0d0,0x3fe215b7747d5cb8,1 +np.float64,0xbfd4ad3e20295a7c,0x3fe99465ab8c3275,1 +np.float64,0x3fd6619ee4acc33e,0x3ff4638b7b80c08a,1 +np.float64,0x3fdf6fcb63bedf97,0x3ff67d62fd3d560c,1 +np.float64,0x800a9191e7152324,0x3ff0000000000000,1 +np.float64,0x3fd2ff3c0da5fe78,0x3ff3a7b17e892a28,1 +np.float64,0x8003dbf1f327b7e5,0x3ff0000000000000,1 +np.float64,0xffea6b89a934d712,0x0,1 +np.float64,0x7fcfb879043f70f1,0x7ff0000000000000,1 +np.float64,0xea6a84dbd4d51,0x3ff0000000000000,1 +np.float64,0x800ec97a815d92f5,0x3ff0000000000000,1 +np.float64,0xffe304c3a8660987,0x0,1 +np.float64,0xbfefe24dd3ffc49c,0x3fe00a4e065be96d,1 +np.float64,0xffd3cc8c00a79918,0x0,1 +np.float64,0x95be8b7b2b7d2,0x3ff0000000000000,1 +np.float64,0x7fe20570cba40ae1,0x7ff0000000000000,1 +np.float64,0x7f97a06da02f40da,0x7ff0000000000000,1 +np.float64,0xffe702b9522e0572,0x0,1 +np.float64,0x3fada2d8543b45b1,0x3ff0a7adc4201e08,1 +np.float64,0x235e6acc46bce,0x3ff0000000000000,1 +np.float64,0x3fea6bc28ef4d786,0x3ffc5b7fc68fddac,1 +np.float64,0xffdbc9f505b793ea,0x0,1 +np.float64,0xffe98b137ff31626,0x0,1 +np.float64,0x800e26c6721c4d8d,0x3ff0000000000000,1 +np.float64,0x80080de445301bc9,0x3ff0000000000000,1 +np.float64,0x37e504a86fca1,0x3ff0000000000000,1 +np.float64,0x8002f5f60325ebed,0x3ff0000000000000,1 +np.float64,0x5c8772feb90ef,0x3ff0000000000000,1 +np.float64,0xbfe021abb4604358,0x3fe69023a51d22b8,1 +np.float64,0x3fde744f8fbce8a0,0x3ff64074dc84edd7,1 +np.float64,0xbfdd92899f3b2514,0x3fe73aefd9701858,1 +np.float64,0x7fc1ad5c51235ab8,0x7ff0000000000000,1 +np.float64,0xaae2f98955c5f,0x3ff0000000000000,1 +np.float64,0x7f9123d5782247aa,0x7ff0000000000000,1 +np.float64,0xbfe3f8e94b67f1d2,0x3fe4c30ab28e9cb7,1 +np.float64,0x7fdaba8b4cb57516,0x7ff0000000000000,1 +np.float64,0x7fefc85cfeff90b9,0x7ff0000000000000,1 +np.float64,0xffb83b4f523076a0,0x0,1 +np.float64,0xbfe888a68c71114d,0x3fe2ceff17c203d1,1 +np.float64,0x800de1dac4bbc3b6,0x3ff0000000000000,1 +np.float64,0xbfe4f27f09e9e4fe,0x3fe453f9af407eac,1 +np.float64,0xffe3d2713467a4e2,0x0,1 +np.float64,0xbfebaab840375570,0x3fe1931131b98842,1 +np.float64,0x93892a1b27126,0x3ff0000000000000,1 +np.float64,0x1e8e7f983d1d1,0x3ff0000000000000,1 +np.float64,0x3fecc950627992a0,0x3ffdd926f036add0,1 +np.float64,0xbfd41dfb1aa83bf6,0x3fe9bc34ece35b94,1 +np.float64,0x800aebfc6555d7f9,0x3ff0000000000000,1 +np.float64,0x7fe33ba52ca67749,0x7ff0000000000000,1 +np.float64,0xffe57c9b3feaf936,0x0,1 +np.float64,0x3fdd12464fba248c,0x3ff5ebc5598e6bd0,1 +np.float64,0xffe06d7f0fe0dafe,0x0,1 +np.float64,0x800e55b7fe9cab70,0x3ff0000000000000,1 +np.float64,0x3fd33803c8267008,0x3ff3b3cb78b2d642,1 +np.float64,0xe9cab8a1d3957,0x3ff0000000000000,1 +np.float64,0x3fb38ac166271580,0x3ff0de906947c0f0,1 +np.float64,0xbfd67aa552acf54a,0x3fe915cf64a389fd,1 +np.float64,0x1db96daa3b72f,0x3ff0000000000000,1 +np.float64,0xbfee9f08f4fd3e12,0x3fe07c2c615add3c,1 +np.float64,0xf14f6d65e29ee,0x3ff0000000000000,1 +np.float64,0x800bce089e179c12,0x3ff0000000000000,1 +np.float64,0xffc42dcc37285b98,0x0,1 +np.float64,0x7fd5f37063abe6e0,0x7ff0000000000000,1 +np.float64,0xbfd943c2cbb28786,0x3fe856f6452ec753,1 +np.float64,0x8ddfbc091bbf8,0x3ff0000000000000,1 +np.float64,0xbfe153491e22a692,0x3fe5fcb075dbbd5d,1 +np.float64,0xffe7933999ef2672,0x0,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x8000000000000000,0x3ff0000000000000,1 +np.float64,0xbfe9154580b22a8b,0x3fe2960bac3a8220,1 +np.float64,0x800dc6dda21b8dbb,0x3ff0000000000000,1 +np.float64,0xbfb26225a824c448,0x3fee7239a457df81,1 +np.float64,0xbfd7b68c83af6d1a,0x3fe8c08e351ab468,1 +np.float64,0xffde01f7213c03ee,0x0,1 +np.float64,0x3fe54cbe0faa997c,0x3ff9614527191d72,1 +np.float64,0xbfd6bec3732d7d86,0x3fe90354909493de,1 +np.float64,0xbfef3c85bd7e790b,0x3fe0444f8c489ca6,1 +np.float64,0x899501b7132a0,0x3ff0000000000000,1 +np.float64,0xbfe17a456462f48b,0x3fe5ea2719a9a84b,1 +np.float64,0xffe34003b8668007,0x0,1 +np.float64,0x7feff6a3633fed46,0x7ff0000000000000,1 +np.float64,0x3fba597ecc34b2fe,0x3ff12ee72e4de474,1 +np.float64,0x4084c7b68109a,0x3ff0000000000000,1 +np.float64,0x3fad23bf4c3a4780,0x3ff0a4d06193ff6d,1 +np.float64,0xffd0fe2707a1fc4e,0x0,1 +np.float64,0xb96cb43f72d97,0x3ff0000000000000,1 +np.float64,0x7fc4d684d829ad09,0x7ff0000000000000,1 +np.float64,0x7fdc349226b86923,0x7ff0000000000000,1 +np.float64,0x7fd82851cd3050a3,0x7ff0000000000000,1 +np.float64,0x800cde0041b9bc01,0x3ff0000000000000,1 +np.float64,0x4e8caa1e9d196,0x3ff0000000000000,1 +np.float64,0xbfed06a6d2fa0d4e,0x3fe1108c3682b05a,1 +np.float64,0xffe8908122312102,0x0,1 +np.float64,0xffe56ed6d9aaddad,0x0,1 +np.float64,0x3fedd6db00fbadb6,0x3ffe896c68c4b26e,1 +np.float64,0x3fde31f9b4bc63f4,0x3ff6307e08f8b6ba,1 +np.float64,0x6bb963c2d772d,0x3ff0000000000000,1 +np.float64,0x787b7142f0f6f,0x3ff0000000000000,1 +np.float64,0x3fe6e4147c6dc829,0x3ffa451bbdece240,1 +np.float64,0x8003857401470ae9,0x3ff0000000000000,1 +np.float64,0xbfeae82c3c75d058,0x3fe1ddbd66e65aab,1 +np.float64,0x7fe174707c62e8e0,0x7ff0000000000000,1 +np.float64,0x80008d2545e11a4b,0x3ff0000000000000,1 +np.float64,0xbfecc2dce17985ba,0x3fe129ad4325985a,1 +np.float64,0xbfe1fa1daf63f43c,0x3fe5adcb0731a44b,1 +np.float64,0x7fcf2530203e4a5f,0x7ff0000000000000,1 +np.float64,0xbfea5cefe874b9e0,0x3fe213f134b61f4a,1 +np.float64,0x800103729f2206e6,0x3ff0000000000000,1 +np.float64,0xbfe8442ff7708860,0x3fe2eaf850faa169,1 +np.float64,0x8006c78e19ed8f1d,0x3ff0000000000000,1 +np.float64,0x3fc259589c24b2b1,0x3ff1abe6a4d28816,1 +np.float64,0xffed02b7b5ba056e,0x0,1 +np.float64,0xbfce0aa4fe3c1548,0x3feb32115d92103e,1 +np.float64,0x7fec06e78bf80dce,0x7ff0000000000000,1 +np.float64,0xbfe0960bbc612c18,0x3fe6578ab29b70d4,1 +np.float64,0x3fee45841cbc8b08,0x3ffed2f6ca808ad3,1 +np.float64,0xbfeb0f8ebef61f1e,0x3fe1ce86003044cd,1 +np.float64,0x8002c357358586af,0x3ff0000000000000,1 +np.float64,0x3fe9aa10cc735422,0x3ffbe57e294ce68b,1 +np.float64,0x800256c0a544ad82,0x3ff0000000000000,1 +np.float64,0x4de6e1449bcdd,0x3ff0000000000000,1 +np.float64,0x65e9bc9ccbd38,0x3ff0000000000000,1 +np.float64,0xbfe53b0fa9aa7620,0x3fe4341f0aa29bbc,1 +np.float64,0xbfcdd94cd13bb298,0x3feb3956acd2e2dd,1 +np.float64,0x8004a49b65a94938,0x3ff0000000000000,1 +np.float64,0x800d3d05deba7a0c,0x3ff0000000000000,1 +np.float64,0x3fe4e05bce69c0b8,0x3ff925f55602a7e0,1 +np.float64,0xffe391e3256723c6,0x0,1 +np.float64,0xbfe92f0f37b25e1e,0x3fe28bacc76ae753,1 +np.float64,0x3f990238d8320472,0x3ff045edd36e2d62,1 +np.float64,0xffed8d15307b1a2a,0x0,1 +np.float64,0x3fee82e01afd05c0,0x3ffefc09e8b9c2b7,1 +np.float64,0xffb2d94b2225b298,0x0,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-expm1.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-expm1.csv new file mode 100644 index 0000000000000000000000000000000000000000..dcbc7cd912d6819906b4d274bde10cd22784c536 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-expm1.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0x80606724,0x80606724,3 +np.float32,0xbf16790f,0xbee38e14,3 +np.float32,0xbf1778a1,0xbee4a97f,3 +np.float32,0x7d4fc610,0x7f800000,3 +np.float32,0xbec30a20,0xbea230d5,3 +np.float32,0x3eae8a36,0x3ecffac5,3 +np.float32,0xbf1f08f1,0xbeece93c,3 +np.float32,0x80374376,0x80374376,3 +np.float32,0x3f2e04ca,0x3f793115,3 +np.float32,0x7e2c7e36,0x7f800000,3 +np.float32,0xbf686cae,0xbf18bcf0,3 +np.float32,0xbf5518cd,0xbf10a3da,3 +np.float32,0x807e233c,0x807e233c,3 +np.float32,0x7f4edd54,0x7f800000,3 +np.float32,0x7ed70088,0x7f800000,3 +np.float32,0x801675da,0x801675da,3 +np.float32,0x806735d5,0x806735d5,3 +np.float32,0xfe635fec,0xbf800000,3 +np.float32,0xfed88a0a,0xbf800000,3 +np.float32,0xff52c052,0xbf800000,3 +np.float32,0x7fc00000,0x7fc00000,3 +np.float32,0xff4f65f9,0xbf800000,3 +np.float32,0xfe0f6c20,0xbf800000,3 +np.float32,0x80322b30,0x80322b30,3 +np.float32,0xfb757000,0xbf800000,3 +np.float32,0x3c81e0,0x3c81e0,3 +np.float32,0x79d56a,0x79d56a,3 +np.float32,0x8029d7af,0x8029d7af,3 +np.float32,0x8058a593,0x8058a593,3 +np.float32,0x3f3a13c7,0x3f88c75c,3 +np.float32,0x2a6b05,0x2a6b05,3 +np.float32,0xbd64c960,0xbd5e83ae,3 +np.float32,0x80471052,0x80471052,3 +np.float32,0xbe5dd950,0xbe47766c,3 +np.float32,0xfd8f88f0,0xbf800000,3 +np.float32,0x75a4b7,0x75a4b7,3 +np.float32,0x3f726f2e,0x3fc9fb7d,3 +np.float32,0x3ed6795c,0x3f053115,3 +np.float32,0x17d7f5,0x17d7f5,3 +np.float32,0xbf4cf19b,0xbf0d094f,3 +np.float32,0x3e0ec532,0x3e1933c6,3 +np.float32,0xff084016,0xbf800000,3 +np.float32,0x800829aa,0x800829aa,3 +np.float32,0x806d7302,0x806d7302,3 +np.float32,0x7f59d9da,0x7f800000,3 +np.float32,0x15f8b9,0x15f8b9,3 +np.float32,0x803befb3,0x803befb3,3 +np.float32,0x525043,0x525043,3 +np.float32,0x51a647,0x51a647,3 +np.float32,0xbf1cfce4,0xbeeab3d9,3 +np.float32,0x3f1f27a4,0x3f5cb1d2,3 +np.float32,0xbebc3a04,0xbe9d8142,3 +np.float32,0xbeea548c,0xbebc07e5,3 +np.float32,0x3f47401c,0x3f96c2a3,3 +np.float32,0x806b1ea3,0x806b1ea3,3 +np.float32,0x3ea56bb8,0x3ec3450c,3 +np.float32,0x3f7b4963,0x3fd597b5,3 +np.float32,0x7f051fa0,0x7f800000,3 +np.float32,0x1d411c,0x1d411c,3 +np.float32,0xff0b6a35,0xbf800000,3 +np.float32,0xbead63c0,0xbe9314f7,3 +np.float32,0x3738be,0x3738be,3 +np.float32,0x3f138cc8,0x3f479155,3 +np.float32,0x800a539f,0x800a539f,3 +np.float32,0x801b0ebd,0x801b0ebd,3 +np.float32,0x318fcd,0x318fcd,3 +np.float32,0x3ed67556,0x3f052e06,3 +np.float32,0x702886,0x702886,3 +np.float32,0x80000001,0x80000001,3 +np.float32,0x70a174,0x70a174,3 +np.float32,0x4f9c66,0x4f9c66,3 +np.float32,0x3e3e1927,0x3e50e351,3 +np.float32,0x7eac9a4d,0x7f800000,3 +np.float32,0x4b7407,0x4b7407,3 +np.float32,0x7f5bd2fd,0x7f800000,3 +np.float32,0x3eaafc58,0x3ecaffbd,3 +np.float32,0xbc989360,0xbc9729e2,3 +np.float32,0x3f470e5c,0x3f968c7b,3 +np.float32,0x4c5672,0x4c5672,3 +np.float32,0xff2b2ee2,0xbf800000,3 +np.float32,0xbf28a104,0xbef7079b,3 +np.float32,0x2c6175,0x2c6175,3 +np.float32,0x3d7e4fb0,0x3d832f9f,3 +np.float32,0x763276,0x763276,3 +np.float32,0x3cf364,0x3cf364,3 +np.float32,0xbf7ace75,0xbf1fe48c,3 +np.float32,0xff19e858,0xbf800000,3 +np.float32,0x80504c70,0x80504c70,3 +np.float32,0xff390210,0xbf800000,3 +np.float32,0x8046a743,0x8046a743,3 +np.float32,0x80000000,0x80000000,3 +np.float32,0x806c51da,0x806c51da,3 +np.float32,0x806ab38f,0x806ab38f,3 +np.float32,0x3f3de863,0x3f8cc538,3 +np.float32,0x7f6d45bb,0x7f800000,3 +np.float32,0xfd16ec60,0xbf800000,3 +np.float32,0x80513cba,0x80513cba,3 +np.float32,0xbf68996b,0xbf18cefa,3 +np.float32,0xfe039f2c,0xbf800000,3 +np.float32,0x3f013207,0x3f280c55,3 +np.float32,0x7ef4bc07,0x7f800000,3 +np.float32,0xbe8b65ac,0xbe741069,3 +np.float32,0xbf7a8186,0xbf1fc7a6,3 +np.float32,0x802532e5,0x802532e5,3 +np.float32,0x32c7df,0x32c7df,3 +np.float32,0x3ce4dceb,0x3ce81701,3 +np.float32,0xfe801118,0xbf800000,3 +np.float32,0x3d905f20,0x3d9594fb,3 +np.float32,0xbe11ed28,0xbe080168,3 +np.float32,0x59e773,0x59e773,3 +np.float32,0x3e9a2547,0x3eb3dd57,3 +np.float32,0x7ecb7c67,0x7f800000,3 +np.float32,0x7f69a67e,0x7f800000,3 +np.float32,0xff121e11,0xbf800000,3 +np.float32,0x3f7917cb,0x3fd2ad8c,3 +np.float32,0xbf1a7da8,0xbee7fc0c,3 +np.float32,0x3f077e66,0x3f329c40,3 +np.float32,0x3ce8e040,0x3cec37b3,3 +np.float32,0xbf3f0b8e,0xbf069f4d,3 +np.float32,0x3f52f194,0x3fa3c9d6,3 +np.float32,0xbf0e7422,0xbeda80f2,3 +np.float32,0xfd67e230,0xbf800000,3 +np.float32,0xff14d9a9,0xbf800000,3 +np.float32,0x3f3546e3,0x3f83dc2b,3 +np.float32,0x3e152e3a,0x3e20983d,3 +np.float32,0x4a89a3,0x4a89a3,3 +np.float32,0x63217,0x63217,3 +np.float32,0xbeb9e2a8,0xbe9be153,3 +np.float32,0x7e9fa049,0x7f800000,3 +np.float32,0x7f58110c,0x7f800000,3 +np.float32,0x3e88290c,0x3e9bfba9,3 +np.float32,0xbf2cb206,0xbefb3494,3 +np.float32,0xff5880c4,0xbf800000,3 +np.float32,0x7ecff3ac,0x7f800000,3 +np.float32,0x3f4b3de6,0x3f9b23fd,3 +np.float32,0xbebd2048,0xbe9e208c,3 +np.float32,0xff08f7a2,0xbf800000,3 +np.float32,0xff473330,0xbf800000,3 +np.float32,0x1,0x1,3 +np.float32,0xbf5dc239,0xbf14584b,3 +np.float32,0x458e3f,0x458e3f,3 +np.float32,0xbdb8a650,0xbdb091f8,3 +np.float32,0xff336ffc,0xbf800000,3 +np.float32,0x3c60bd00,0x3c624966,3 +np.float32,0xbe16a4f8,0xbe0c1664,3 +np.float32,0x3f214246,0x3f60a0f0,3 +np.float32,0x7fa00000,0x7fe00000,3 +np.float32,0x7e08737e,0x7f800000,3 +np.float32,0x3f70574c,0x3fc74b8e,3 +np.float32,0xbed5745c,0xbeae8c77,3 +np.float32,0x361752,0x361752,3 +np.float32,0x3eb276d6,0x3ed584ea,3 +np.float32,0x3f03fc1e,0x3f2cb1a5,3 +np.float32,0x3fafd1,0x3fafd1,3 +np.float32,0x7e50d74c,0x7f800000,3 +np.float32,0x3eeca5,0x3eeca5,3 +np.float32,0x5dc963,0x5dc963,3 +np.float32,0x7f0e63ae,0x7f800000,3 +np.float32,0x8021745f,0x8021745f,3 +np.float32,0xbf5881a9,0xbf121d07,3 +np.float32,0x7dadc7fd,0x7f800000,3 +np.float32,0xbf2c0798,0xbefa86bb,3 +np.float32,0x3e635f50,0x3e7e97a9,3 +np.float32,0xbf2053fa,0xbeee4c0e,3 +np.float32,0x3e8eee2b,0x3ea4dfcc,3 +np.float32,0xfc8a03c0,0xbf800000,3 +np.float32,0xfd9e4948,0xbf800000,3 +np.float32,0x801e817e,0x801e817e,3 +np.float32,0xbf603a27,0xbf1560c3,3 +np.float32,0x7f729809,0x7f800000,3 +np.float32,0x3f5a1864,0x3fac0e04,3 +np.float32,0x3e7648b8,0x3e8b3677,3 +np.float32,0x3edade24,0x3f088bc1,3 +np.float32,0x65e16e,0x65e16e,3 +np.float32,0x3f24aa50,0x3f671117,3 +np.float32,0x803cb1d0,0x803cb1d0,3 +np.float32,0xbe7b1858,0xbe5eadcc,3 +np.float32,0xbf19bb27,0xbee726fb,3 +np.float32,0xfd1f6e60,0xbf800000,3 +np.float32,0xfeb0de60,0xbf800000,3 +np.float32,0xff511a52,0xbf800000,3 +np.float32,0xff7757f7,0xbf800000,3 +np.float32,0x463ff5,0x463ff5,3 +np.float32,0x3f770d12,0x3fcffcc2,3 +np.float32,0xbf208562,0xbeee80dc,3 +np.float32,0x6df204,0x6df204,3 +np.float32,0xbf62d24f,0xbf1673fb,3 +np.float32,0x3dfcf210,0x3e069d5f,3 +np.float32,0xbef26002,0xbec114d7,3 +np.float32,0x7f800000,0x7f800000,3 +np.float32,0x7f30fb85,0x7f800000,3 +np.float32,0x7ee5dfef,0x7f800000,3 +np.float32,0x3f317829,0x3f800611,3 +np.float32,0x3f4b0bbd,0x3f9aec88,3 +np.float32,0x7edf708c,0x7f800000,3 +np.float32,0xff071260,0xbf800000,3 +np.float32,0x3e7b8c30,0x3e8e9198,3 +np.float32,0x3f33778b,0x3f82077f,3 +np.float32,0x3e8cd11d,0x3ea215fd,3 +np.float32,0x8004483d,0x8004483d,3 +np.float32,0x801633e3,0x801633e3,3 +np.float32,0x7e76eb15,0x7f800000,3 +np.float32,0x3c1571,0x3c1571,3 +np.float32,0x7de3de52,0x7f800000,3 +np.float32,0x804ae906,0x804ae906,3 +np.float32,0x7f3a2616,0x7f800000,3 +np.float32,0xff7fffff,0xbf800000,3 +np.float32,0xff5d17e4,0xbf800000,3 +np.float32,0xbeaa6704,0xbe90f252,3 +np.float32,0x7e6a43af,0x7f800000,3 +np.float32,0x2a0f35,0x2a0f35,3 +np.float32,0xfd8fece0,0xbf800000,3 +np.float32,0xfeef2e2a,0xbf800000,3 +np.float32,0xff800000,0xbf800000,3 +np.float32,0xbeefcc52,0xbebf78e4,3 +np.float32,0x3db6c490,0x3dbf2bd5,3 +np.float32,0x8290f,0x8290f,3 +np.float32,0xbeace648,0xbe92bb7f,3 +np.float32,0x801fea79,0x801fea79,3 +np.float32,0x3ea6c230,0x3ec51ebf,3 +np.float32,0x3e5f2ca3,0x3e795c8a,3 +np.float32,0x3eb6f634,0x3edbeb9f,3 +np.float32,0xff790b45,0xbf800000,3 +np.float32,0x3d82e240,0x3d872816,3 +np.float32,0x3f0d6a57,0x3f3cc7db,3 +np.float32,0x7f08531a,0x7f800000,3 +np.float32,0x702b6d,0x702b6d,3 +np.float32,0x7d3a3c38,0x7f800000,3 +np.float32,0x3d0a7fb3,0x3d0cddf3,3 +np.float32,0xff28084c,0xbf800000,3 +np.float32,0xfeee8804,0xbf800000,3 +np.float32,0x804094eb,0x804094eb,3 +np.float32,0x7acb39,0x7acb39,3 +np.float32,0x3f01c07a,0x3f28f88c,3 +np.float32,0x3e05c500,0x3e0ee674,3 +np.float32,0xbe6f7c38,0xbe558ac1,3 +np.float32,0x803b1f4b,0x803b1f4b,3 +np.float32,0xbf76561f,0xbf1e332b,3 +np.float32,0xff30d368,0xbf800000,3 +np.float32,0x7e2e1f38,0x7f800000,3 +np.float32,0x3ee085b8,0x3f0ce7c0,3 +np.float32,0x8064c4a7,0x8064c4a7,3 +np.float32,0xa7c1d,0xa7c1d,3 +np.float32,0x3f27498a,0x3f6c14bc,3 +np.float32,0x137ca,0x137ca,3 +np.float32,0x3d0a5c60,0x3d0cb969,3 +np.float32,0x80765f1f,0x80765f1f,3 +np.float32,0x80230a71,0x80230a71,3 +np.float32,0x3f321ed2,0x3f80acf4,3 +np.float32,0x7d61e7f4,0x7f800000,3 +np.float32,0xbf39f7f2,0xbf0430f7,3 +np.float32,0xbe2503f8,0xbe1867e8,3 +np.float32,0x29333d,0x29333d,3 +np.float32,0x7edc5a0e,0x7f800000,3 +np.float32,0xbe81a8a2,0xbe651663,3 +np.float32,0x7f76ab6d,0x7f800000,3 +np.float32,0x7f46111f,0x7f800000,3 +np.float32,0xff0fc888,0xbf800000,3 +np.float32,0x805ece89,0x805ece89,3 +np.float32,0xc390b,0xc390b,3 +np.float32,0xff64bdee,0xbf800000,3 +np.float32,0x3dd07e4e,0x3ddb79bd,3 +np.float32,0xfecc1f10,0xbf800000,3 +np.float32,0x803f5177,0x803f5177,3 +np.float32,0x802a24d2,0x802a24d2,3 +np.float32,0x7f27d0cc,0x7f800000,3 +np.float32,0x3ef57c98,0x3f1d7e88,3 +np.float32,0x7b848d,0x7b848d,3 +np.float32,0x7f7fffff,0x7f800000,3 +np.float32,0xfe889c46,0xbf800000,3 +np.float32,0xff2d6dc5,0xbf800000,3 +np.float32,0x3f53a186,0x3fa492a6,3 +np.float32,0xbf239c94,0xbef1c90c,3 +np.float32,0xff7c0f4e,0xbf800000,3 +np.float32,0x3e7c69a9,0x3e8f1f3a,3 +np.float32,0xbf47c9e9,0xbf0ab2a9,3 +np.float32,0xbc1eaf00,0xbc1deae9,3 +np.float32,0x3f4a6d39,0x3f9a3d8e,3 +np.float32,0x3f677930,0x3fbc26eb,3 +np.float32,0x3f45eea1,0x3f955418,3 +np.float32,0x7f61a1f8,0x7f800000,3 +np.float32,0xff58c7c6,0xbf800000,3 +np.float32,0x80239801,0x80239801,3 +np.float32,0xff56e616,0xbf800000,3 +np.float32,0xff62052c,0xbf800000,3 +np.float32,0x8009b615,0x8009b615,3 +np.float32,0x293d6b,0x293d6b,3 +np.float32,0xfe9e585c,0xbf800000,3 +np.float32,0x7f58ff4b,0x7f800000,3 +np.float32,0x10937c,0x10937c,3 +np.float32,0x7f5cc13f,0x7f800000,3 +np.float32,0x110c5d,0x110c5d,3 +np.float32,0x805e51fc,0x805e51fc,3 +np.float32,0xbedcf70a,0xbeb3766c,3 +np.float32,0x3f4d5e42,0x3f9d8091,3 +np.float32,0xff5925a0,0xbf800000,3 +np.float32,0x7e87cafa,0x7f800000,3 +np.float32,0xbf6474b2,0xbf171fee,3 +np.float32,0x4b39b2,0x4b39b2,3 +np.float32,0x8020cc28,0x8020cc28,3 +np.float32,0xff004ed8,0xbf800000,3 +np.float32,0xbf204cf5,0xbeee448d,3 +np.float32,0x3e30cf10,0x3e40fdb1,3 +np.float32,0x80202bee,0x80202bee,3 +np.float32,0xbf55a985,0xbf10e2bc,3 +np.float32,0xbe297dd8,0xbe1c351c,3 +np.float32,0x5780d9,0x5780d9,3 +np.float32,0x7ef729fa,0x7f800000,3 +np.float32,0x8039a3b5,0x8039a3b5,3 +np.float32,0x7cdd3f,0x7cdd3f,3 +np.float32,0x7ef0145a,0x7f800000,3 +np.float32,0x807ad7ae,0x807ad7ae,3 +np.float32,0x7f6c2643,0x7f800000,3 +np.float32,0xbec56124,0xbea3c929,3 +np.float32,0x512c3b,0x512c3b,3 +np.float32,0xbed3effe,0xbead8c1e,3 +np.float32,0x7f5e0a4d,0x7f800000,3 +np.float32,0x3f315316,0x3f7fc200,3 +np.float32,0x7eca5727,0x7f800000,3 +np.float32,0x7f4834f3,0x7f800000,3 +np.float32,0x8004af6d,0x8004af6d,3 +np.float32,0x3f223ca4,0x3f6277e3,3 +np.float32,0x7eea4fdd,0x7f800000,3 +np.float32,0x3e7143e8,0x3e880763,3 +np.float32,0xbf737008,0xbf1d160e,3 +np.float32,0xfc408b00,0xbf800000,3 +np.float32,0x803912ca,0x803912ca,3 +np.float32,0x7db31f4e,0x7f800000,3 +np.float32,0xff578b54,0xbf800000,3 +np.float32,0x3f068ec4,0x3f31062b,3 +np.float32,0x35f64f,0x35f64f,3 +np.float32,0x80437df4,0x80437df4,3 +np.float32,0x568059,0x568059,3 +np.float32,0x8005f8ba,0x8005f8ba,3 +np.float32,0x6824ad,0x6824ad,3 +np.float32,0xff3fdf30,0xbf800000,3 +np.float32,0xbf6f7682,0xbf1b89d6,3 +np.float32,0x3dcea8a0,0x3dd971f5,3 +np.float32,0x3ee32a62,0x3f0ef5a9,3 +np.float32,0xbf735bcd,0xbf1d0e3d,3 +np.float32,0x7e8c7c28,0x7f800000,3 +np.float32,0x3ed552bc,0x3f045161,3 +np.float32,0xfed90a8a,0xbf800000,3 +np.float32,0xbe454368,0xbe336d2a,3 +np.float32,0xbf171d26,0xbee4442d,3 +np.float32,0x80652bf9,0x80652bf9,3 +np.float32,0xbdbaaa20,0xbdb26914,3 +np.float32,0x3f56063d,0x3fa7522e,3 +np.float32,0x3d3d4fd3,0x3d41c13f,3 +np.float32,0x80456040,0x80456040,3 +np.float32,0x3dc15586,0x3dcac0ef,3 +np.float32,0x7f753060,0x7f800000,3 +np.float32,0x7f7d8039,0x7f800000,3 +np.float32,0xfdebf280,0xbf800000,3 +np.float32,0xbf1892c3,0xbee5e116,3 +np.float32,0xbf0f1468,0xbedb3878,3 +np.float32,0x40d85c,0x40d85c,3 +np.float32,0x3f93dd,0x3f93dd,3 +np.float32,0xbf5730fd,0xbf118c24,3 +np.float32,0xfe17aa44,0xbf800000,3 +np.float32,0x3dc0baf4,0x3dca1716,3 +np.float32,0xbf3433d8,0xbf015efb,3 +np.float32,0x1c59f5,0x1c59f5,3 +np.float32,0x802b1540,0x802b1540,3 +np.float32,0xbe47df6c,0xbe35936e,3 +np.float32,0xbe8e7070,0xbe78af32,3 +np.float32,0xfe7057f4,0xbf800000,3 +np.float32,0x80668b69,0x80668b69,3 +np.float32,0xbe677810,0xbe4f2c2d,3 +np.float32,0xbe7a2f1c,0xbe5df733,3 +np.float32,0xfeb79e3c,0xbf800000,3 +np.float32,0xbeb6e320,0xbe99c9e8,3 +np.float32,0xfea188f2,0xbf800000,3 +np.float32,0x7dcaeb15,0x7f800000,3 +np.float32,0x1be567,0x1be567,3 +np.float32,0xbf4041cc,0xbf07320d,3 +np.float32,0x3f721aa7,0x3fc98e9a,3 +np.float32,0x7f5aa835,0x7f800000,3 +np.float32,0x15180e,0x15180e,3 +np.float32,0x3f73d739,0x3fcbccdb,3 +np.float32,0xbeecd380,0xbebd9b36,3 +np.float32,0x3f2caec7,0x3f768fea,3 +np.float32,0xbeaf65f2,0xbe9482bb,3 +np.float32,0xfe6aa384,0xbf800000,3 +np.float32,0xbf4f2c0a,0xbf0e085e,3 +np.float32,0xbf2b5907,0xbef9d431,3 +np.float32,0x3e855e0d,0x3e985960,3 +np.float32,0x8056cc64,0x8056cc64,3 +np.float32,0xff746bb5,0xbf800000,3 +np.float32,0x3e0332f6,0x3e0bf986,3 +np.float32,0xff637720,0xbf800000,3 +np.float32,0xbf330676,0xbf00c990,3 +np.float32,0x3ec449a1,0x3eef3862,3 +np.float32,0x766541,0x766541,3 +np.float32,0xfe2edf6c,0xbf800000,3 +np.float32,0xbebb28ca,0xbe9cc3e2,3 +np.float32,0x3f16c930,0x3f4d5ce4,3 +np.float32,0x7f1a9a4a,0x7f800000,3 +np.float32,0x3e9ba1,0x3e9ba1,3 +np.float32,0xbf73d5f6,0xbf1d3d69,3 +np.float32,0xfdc8a8b0,0xbf800000,3 +np.float32,0x50f051,0x50f051,3 +np.float32,0xff0add02,0xbf800000,3 +np.float32,0x1e50bf,0x1e50bf,3 +np.float32,0x3f04d287,0x3f2e1948,3 +np.float32,0x7f1e50,0x7f1e50,3 +np.float32,0x2affb3,0x2affb3,3 +np.float32,0x80039f07,0x80039f07,3 +np.float32,0x804ba79e,0x804ba79e,3 +np.float32,0x7b5a8eed,0x7f800000,3 +np.float32,0x3e1a8b28,0x3e26d0a7,3 +np.float32,0x3ea95f29,0x3ec8bfa4,3 +np.float32,0x7e09fa55,0x7f800000,3 +np.float32,0x7eacb1b3,0x7f800000,3 +np.float32,0x3e8ad7c0,0x3e9f7dec,3 +np.float32,0x7e0e997c,0x7f800000,3 +np.float32,0x3f4422b4,0x3f936398,3 +np.float32,0x806bd222,0x806bd222,3 +np.float32,0x677ae6,0x677ae6,3 +np.float32,0x62cf68,0x62cf68,3 +np.float32,0x7e4e594e,0x7f800000,3 +np.float32,0x80445fd1,0x80445fd1,3 +np.float32,0xff3a0d04,0xbf800000,3 +np.float32,0x8052b256,0x8052b256,3 +np.float32,0x3cb34440,0x3cb53e11,3 +np.float32,0xbf0e3865,0xbeda3c6d,3 +np.float32,0x3f49f5df,0x3f99ba17,3 +np.float32,0xbed75a22,0xbeafcc09,3 +np.float32,0xbf7aec64,0xbf1fefc8,3 +np.float32,0x7f35a62d,0x7f800000,3 +np.float32,0xbf787b03,0xbf1f03fc,3 +np.float32,0x8006a62a,0x8006a62a,3 +np.float32,0x3f6419e7,0x3fb803c7,3 +np.float32,0x3ecea2e5,0x3efe8f01,3 +np.float32,0x80603577,0x80603577,3 +np.float32,0xff73198c,0xbf800000,3 +np.float32,0x7def110a,0x7f800000,3 +np.float32,0x544efd,0x544efd,3 +np.float32,0x3f052340,0x3f2ea0fc,3 +np.float32,0xff306666,0xbf800000,3 +np.float32,0xbf800000,0xbf21d2a7,3 +np.float32,0xbed3e150,0xbead826a,3 +np.float32,0x3f430c99,0x3f92390f,3 +np.float32,0xbf4bffa4,0xbf0c9c73,3 +np.float32,0xfd97a710,0xbf800000,3 +np.float32,0x3cadf0fe,0x3cafcd1a,3 +np.float32,0x807af7b4,0x807af7b4,3 +np.float32,0xbc508600,0xbc4f33bc,3 +np.float32,0x7f3e0ec7,0x7f800000,3 +np.float32,0xbe51334c,0xbe3d36f7,3 +np.float32,0xfe7b7fb4,0xbf800000,3 +np.float32,0xfed9c45e,0xbf800000,3 +np.float32,0x3da024eb,0x3da6926a,3 +np.float32,0x7eed9e76,0x7f800000,3 +np.float32,0xbf2b8f1f,0xbefa0b91,3 +np.float32,0x3f2b9286,0x3f746318,3 +np.float32,0xfe8af49c,0xbf800000,3 +np.float32,0x9c4f7,0x9c4f7,3 +np.float32,0x801d7543,0x801d7543,3 +np.float32,0xbf66474a,0xbf17de66,3 +np.float32,0xbf562155,0xbf1116b1,3 +np.float32,0x46a8de,0x46a8de,3 +np.float32,0x8053fe6b,0x8053fe6b,3 +np.float32,0xbf6ee842,0xbf1b51f3,3 +np.float32,0xbf6ad78e,0xbf19b565,3 +np.float32,0xbf012574,0xbecad7ff,3 +np.float32,0x748364,0x748364,3 +np.float32,0x8073f59b,0x8073f59b,3 +np.float32,0xff526825,0xbf800000,3 +np.float32,0xfeb02dc4,0xbf800000,3 +np.float32,0x8033eb1c,0x8033eb1c,3 +np.float32,0x3f3685ea,0x3f8520cc,3 +np.float32,0x7f657902,0x7f800000,3 +np.float32,0xbf75eac4,0xbf1e0a1f,3 +np.float32,0xfe67f384,0xbf800000,3 +np.float32,0x3f56d3cc,0x3fa83faf,3 +np.float32,0x44a4ce,0x44a4ce,3 +np.float32,0x1dc4b3,0x1dc4b3,3 +np.float32,0x4fb3b2,0x4fb3b2,3 +np.float32,0xbea904a4,0xbe8ff3ed,3 +np.float32,0x7e668f16,0x7f800000,3 +np.float32,0x7f538378,0x7f800000,3 +np.float32,0x80541709,0x80541709,3 +np.float32,0x80228040,0x80228040,3 +np.float32,0x7ef9694e,0x7f800000,3 +np.float32,0x3f5fca9b,0x3fb2ce54,3 +np.float32,0xbe9c43c2,0xbe86ab84,3 +np.float32,0xfecee000,0xbf800000,3 +np.float32,0x5a65c2,0x5a65c2,3 +np.float32,0x3f736572,0x3fcb3985,3 +np.float32,0xbf2a03f7,0xbef87600,3 +np.float32,0xfe96b488,0xbf800000,3 +np.float32,0xfedd8800,0xbf800000,3 +np.float32,0x80411804,0x80411804,3 +np.float32,0x7edcb0a6,0x7f800000,3 +np.float32,0x2bb882,0x2bb882,3 +np.float32,0x3f800000,0x3fdbf0a9,3 +np.float32,0x764b27,0x764b27,3 +np.float32,0x7e92035d,0x7f800000,3 +np.float32,0x3e80facb,0x3e92ae1d,3 +np.float32,0x8040b81a,0x8040b81a,3 +np.float32,0x7f487fe4,0x7f800000,3 +np.float32,0xbc641780,0xbc6282ed,3 +np.float32,0x804b0bb9,0x804b0bb9,3 +np.float32,0x7d0b7c39,0x7f800000,3 +np.float32,0xff072080,0xbf800000,3 +np.float32,0xbed7aff8,0xbeb00462,3 +np.float32,0x35e247,0x35e247,3 +np.float32,0xbf7edd19,0xbf216766,3 +np.float32,0x8004a539,0x8004a539,3 +np.float32,0xfdfc1790,0xbf800000,3 +np.float32,0x8037a841,0x8037a841,3 +np.float32,0xfed0a8a8,0xbf800000,3 +np.float32,0x7f1f1697,0x7f800000,3 +np.float32,0x3f2ccc6e,0x3f76ca23,3 +np.float32,0x35eada,0x35eada,3 +np.float32,0xff111f42,0xbf800000,3 +np.float32,0x3ee1ab7f,0x3f0dcbbe,3 +np.float32,0xbf6e89ee,0xbf1b2cd4,3 +np.float32,0x3f58611c,0x3faa0cdc,3 +np.float32,0x1ac6a6,0x1ac6a6,3 +np.float32,0xbf1286fa,0xbedf2312,3 +np.float32,0x7e451137,0x7f800000,3 +np.float32,0xbe92c326,0xbe7f3405,3 +np.float32,0x3f2fdd16,0x3f7cd87b,3 +np.float32,0xbe5c0ea0,0xbe4604c2,3 +np.float32,0xbdb29968,0xbdab0883,3 +np.float32,0x3964,0x3964,3 +np.float32,0x3f0dc236,0x3f3d60a0,3 +np.float32,0x7c3faf06,0x7f800000,3 +np.float32,0xbef41f7a,0xbec22b16,3 +np.float32,0x3f4c0289,0x3f9bfdcc,3 +np.float32,0x806084e9,0x806084e9,3 +np.float32,0x3ed1d8dd,0x3f01b0c1,3 +np.float32,0x806d8d8b,0x806d8d8b,3 +np.float32,0x3f052180,0x3f2e9e0a,3 +np.float32,0x803d85d5,0x803d85d5,3 +np.float32,0x3e0afd70,0x3e14dd48,3 +np.float32,0x2fbc63,0x2fbc63,3 +np.float32,0x2e436f,0x2e436f,3 +np.float32,0xbf7b19e6,0xbf2000da,3 +np.float32,0x3f34022e,0x3f829362,3 +np.float32,0x3d2b40e0,0x3d2ee246,3 +np.float32,0x3f5298b4,0x3fa3649b,3 +np.float32,0xbdb01328,0xbda8b7de,3 +np.float32,0x7f693c81,0x7f800000,3 +np.float32,0xbeb1abc0,0xbe961edc,3 +np.float32,0x801d9b5d,0x801d9b5d,3 +np.float32,0x80628668,0x80628668,3 +np.float32,0x800f57dd,0x800f57dd,3 +np.float32,0x8017c94f,0x8017c94f,3 +np.float32,0xbf16f5f4,0xbee418b8,3 +np.float32,0x3e686476,0x3e827022,3 +np.float32,0xbf256796,0xbef3abd9,3 +np.float32,0x7f1b4485,0x7f800000,3 +np.float32,0xbea0b3cc,0xbe89ed21,3 +np.float32,0xfee08b2e,0xbf800000,3 +np.float32,0x523cb4,0x523cb4,3 +np.float32,0x3daf2cb2,0x3db6e273,3 +np.float32,0xbd531c40,0xbd4dc323,3 +np.float32,0x80078fe5,0x80078fe5,3 +np.float32,0x80800000,0x80800000,3 +np.float32,0x3f232438,0x3f642d1a,3 +np.float32,0x3ec29446,0x3eecb7c0,3 +np.float32,0x3dbcd2a4,0x3dc5cd1d,3 +np.float32,0x7f045b0d,0x7f800000,3 +np.float32,0x7f22e6d1,0x7f800000,3 +np.float32,0xbf5d3430,0xbf141c80,3 +np.float32,0xbe03ec70,0xbdf78ee6,3 +np.float32,0x3e93ec9a,0x3eab822f,3 +np.float32,0x7f3b9262,0x7f800000,3 +np.float32,0x65ac6a,0x65ac6a,3 +np.float32,0x3db9a8,0x3db9a8,3 +np.float32,0xbf37ab59,0xbf031306,3 +np.float32,0x33c40e,0x33c40e,3 +np.float32,0x7f7a478f,0x7f800000,3 +np.float32,0xbe8532d0,0xbe6a906f,3 +np.float32,0x801c081d,0x801c081d,3 +np.float32,0xbe4212a0,0xbe30ca73,3 +np.float32,0xff0b603e,0xbf800000,3 +np.float32,0x4554dc,0x4554dc,3 +np.float32,0x3dd324be,0x3dde695e,3 +np.float32,0x3f224c44,0x3f629557,3 +np.float32,0x8003cd79,0x8003cd79,3 +np.float32,0xbf31351c,0xbeffc2fd,3 +np.float32,0x8034603a,0x8034603a,3 +np.float32,0xbf6fcb70,0xbf1bab24,3 +np.float32,0x804eb67e,0x804eb67e,3 +np.float32,0xff05c00e,0xbf800000,3 +np.float32,0x3eb5b36f,0x3eda1ec7,3 +np.float32,0x3f1ed7f9,0x3f5c1d90,3 +np.float32,0x3f052d8a,0x3f2eb24b,3 +np.float32,0x5ddf51,0x5ddf51,3 +np.float32,0x7e50c11c,0x7f800000,3 +np.float32,0xff74f55a,0xbf800000,3 +np.float32,0x4322d,0x4322d,3 +np.float32,0x3f16f8a9,0x3f4db27a,3 +np.float32,0x3f4f23d6,0x3f9f7c2c,3 +np.float32,0xbf706c1e,0xbf1bea0a,3 +np.float32,0x3f2cbd52,0x3f76ac77,3 +np.float32,0xf3043,0xf3043,3 +np.float32,0xfee79de0,0xbf800000,3 +np.float32,0x7e942f69,0x7f800000,3 +np.float32,0x180139,0x180139,3 +np.float32,0xff69c678,0xbf800000,3 +np.float32,0x3f46773f,0x3f95e840,3 +np.float32,0x804aae1c,0x804aae1c,3 +np.float32,0x3eb383b4,0x3ed7024c,3 +np.float32,0x8032624e,0x8032624e,3 +np.float32,0xbd0a0f80,0xbd07c27d,3 +np.float32,0xbf1c9b98,0xbeea4a61,3 +np.float32,0x7f370999,0x7f800000,3 +np.float32,0x801931f9,0x801931f9,3 +np.float32,0x3f6f45ce,0x3fc5eea0,3 +np.float32,0xff0ab4cc,0xbf800000,3 +np.float32,0x4c043d,0x4c043d,3 +np.float32,0x8002a599,0x8002a599,3 +np.float32,0xbc4a6080,0xbc4921d7,3 +np.float32,0x3f008d14,0x3f26fb72,3 +np.float32,0x7f48b3d9,0x7f800000,3 +np.float32,0x7cb2ec7e,0x7f800000,3 +np.float32,0xbf1338bd,0xbedfeb61,3 +np.float32,0x0,0x0,3 +np.float32,0xbf2f5b64,0xbefde71c,3 +np.float32,0xbe422974,0xbe30dd56,3 +np.float32,0x3f776be8,0x3fd07950,3 +np.float32,0xbf3e97a1,0xbf06684a,3 +np.float32,0x7d28cb26,0x7f800000,3 +np.float32,0x801618d2,0x801618d2,3 +np.float32,0x807e4f83,0x807e4f83,3 +np.float32,0x8006b07d,0x8006b07d,3 +np.float32,0xfea1c042,0xbf800000,3 +np.float32,0xff24ef74,0xbf800000,3 +np.float32,0xfef7ab16,0xbf800000,3 +np.float32,0x70b771,0x70b771,3 +np.float32,0x7daeb64e,0x7f800000,3 +np.float32,0xbe66e378,0xbe4eb59c,3 +np.float32,0xbead1534,0xbe92dcf7,3 +np.float32,0x7e6769b8,0x7f800000,3 +np.float32,0x7ecd0890,0x7f800000,3 +np.float32,0xbe7380d8,0xbe58b747,3 +np.float32,0x3efa6f2f,0x3f218265,3 +np.float32,0x3f59dada,0x3fabc5eb,3 +np.float32,0xff0f2d20,0xbf800000,3 +np.float32,0x8060210e,0x8060210e,3 +np.float32,0x3ef681e8,0x3f1e51c8,3 +np.float32,0x77a6dd,0x77a6dd,3 +np.float32,0xbebfdd0e,0xbea00399,3 +np.float32,0xfe889b72,0xbf800000,3 +np.float32,0x8049ed2c,0x8049ed2c,3 +np.float32,0x3b089dc4,0x3b08c23e,3 +np.float32,0xbf13c7c4,0xbee08c28,3 +np.float32,0x3efa13b9,0x3f2137d7,3 +np.float32,0x3e9385dc,0x3eaaf914,3 +np.float32,0x7e0e6a43,0x7f800000,3 +np.float32,0x7df6d63f,0x7f800000,3 +np.float32,0x3f3efead,0x3f8dea03,3 +np.float32,0xff52548c,0xbf800000,3 +np.float32,0x803ff9d8,0x803ff9d8,3 +np.float32,0x3c825823,0x3c836303,3 +np.float32,0xfc9e97a0,0xbf800000,3 +np.float32,0xfe644f48,0xbf800000,3 +np.float32,0x802f5017,0x802f5017,3 +np.float32,0x3d5753b9,0x3d5d1661,3 +np.float32,0x7f2a55d2,0x7f800000,3 +np.float32,0x7f4dabfe,0x7f800000,3 +np.float32,0x3f49492a,0x3f98fc47,3 +np.float32,0x3f4d1589,0x3f9d2f82,3 +np.float32,0xff016208,0xbf800000,3 +np.float32,0xbf571cb7,0xbf118365,3 +np.float32,0xbf1ef297,0xbeecd136,3 +np.float32,0x36266b,0x36266b,3 +np.float32,0xbed07b0e,0xbeab4129,3 +np.float32,0x7f553365,0x7f800000,3 +np.float32,0xfe9bb8c6,0xbf800000,3 +np.float32,0xbeb497d6,0xbe982e19,3 +np.float32,0xbf27af6c,0xbef60d16,3 +np.float32,0x55cf51,0x55cf51,3 +np.float32,0x3eab1db0,0x3ecb2e4f,3 +np.float32,0x3e777603,0x3e8bf62f,3 +np.float32,0x7f10e374,0x7f800000,3 +np.float32,0xbf1f6480,0xbeed4b8d,3 +np.float32,0x40479d,0x40479d,3 +np.float32,0x156259,0x156259,3 +np.float32,0x3d852e30,0x3d899b2d,3 +np.float32,0x80014ff3,0x80014ff3,3 +np.float32,0xbd812fa8,0xbd7a645c,3 +np.float32,0x800ab780,0x800ab780,3 +np.float32,0x3ea02ff4,0x3ebc13bd,3 +np.float32,0x7e858b8e,0x7f800000,3 +np.float32,0x75d63b,0x75d63b,3 +np.float32,0xbeb15c94,0xbe95e6e3,3 +np.float32,0x3da0cee0,0x3da74a39,3 +np.float32,0xff21c01c,0xbf800000,3 +np.float32,0x8049b5eb,0x8049b5eb,3 +np.float32,0x80177ab0,0x80177ab0,3 +np.float32,0xff137a50,0xbf800000,3 +np.float32,0x3f7febba,0x3fdbd51c,3 +np.float32,0x8041e4dd,0x8041e4dd,3 +np.float32,0x99b8c,0x99b8c,3 +np.float32,0x5621ba,0x5621ba,3 +np.float32,0x14b534,0x14b534,3 +np.float32,0xbe2eb3a8,0xbe209c95,3 +np.float32,0x7e510c28,0x7f800000,3 +np.float32,0x804ec2f2,0x804ec2f2,3 +np.float32,0x3f662406,0x3fba82b0,3 +np.float32,0x800000,0x800000,3 +np.float32,0x3f3120d6,0x3f7f5d96,3 +np.float32,0x7f179b8e,0x7f800000,3 +np.float32,0x7f65278e,0x7f800000,3 +np.float32,0xfeb50f52,0xbf800000,3 +np.float32,0x7f051bd1,0x7f800000,3 +np.float32,0x7ea0558d,0x7f800000,3 +np.float32,0xbd0a96c0,0xbd08453f,3 +np.float64,0xee82da5ddd05c,0xee82da5ddd05c,1 +np.float64,0x800c3a22d7f87446,0x800c3a22d7f87446,1 +np.float64,0xbfd34b20eaa69642,0xbfd0a825e7688d3e,1 +np.float64,0x3fd6a0f2492d41e5,0x3fdb253b906057b3,1 +np.float64,0xbfda13d8783427b0,0xbfd56b1d76684332,1 +np.float64,0xbfe50b5a99ea16b5,0xbfded7dd82c6f746,1 +np.float64,0x3f82468fc0248d20,0x3f825b7fa9378ee9,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0x856e50290adca,0x856e50290adca,1 +np.float64,0x7fde55a5fa3cab4b,0x7ff0000000000000,1 +np.float64,0x7fcf2c8dd93e591b,0x7ff0000000000000,1 +np.float64,0x8001b3a0e3236743,0x8001b3a0e3236743,1 +np.float64,0x8000fdb14821fb63,0x8000fdb14821fb63,1 +np.float64,0xbfe3645e08e6c8bc,0xbfdd161362a5e9ef,1 +np.float64,0x7feb34d28b3669a4,0x7ff0000000000000,1 +np.float64,0x80099dd810933bb1,0x80099dd810933bb1,1 +np.float64,0xbfedbcc1097b7982,0xbfe35d86414d53dc,1 +np.float64,0x7fdc406fbdb880de,0x7ff0000000000000,1 +np.float64,0x800c4bf85ab897f1,0x800c4bf85ab897f1,1 +np.float64,0x3fd8f7b0e0b1ef60,0x3fde89b497ae20d8,1 +np.float64,0xffe4fced5c69f9da,0xbff0000000000000,1 +np.float64,0xbfe54d421fea9a84,0xbfdf1be0cbfbfcba,1 +np.float64,0x800af72f3535ee5f,0x800af72f3535ee5f,1 +np.float64,0x3fe24e6570e49ccb,0x3fe8b3a86d970411,1 +np.float64,0xbfdd7b22d0baf646,0xbfd79fac2e4f7558,1 +np.float64,0xbfe6a7654c6d4eca,0xbfe03c1f13f3b409,1 +np.float64,0x3fe2c3eb662587d7,0x3fe98566e625d4f5,1 +np.float64,0x3b1ef71e763e0,0x3b1ef71e763e0,1 +np.float64,0xffed03c6baba078d,0xbff0000000000000,1 +np.float64,0x3febac19d0b75834,0x3ff5fdacc9d51bcd,1 +np.float64,0x800635d6794c6bae,0x800635d6794c6bae,1 +np.float64,0xbfe8cafc827195f9,0xbfe1411438608ae1,1 +np.float64,0x7feeb616a83d6c2c,0x7ff0000000000000,1 +np.float64,0x3fd52d62a2aa5ac5,0x3fd91a07a7f18f44,1 +np.float64,0x80036996b8a6d32e,0x80036996b8a6d32e,1 +np.float64,0x2b1945965632a,0x2b1945965632a,1 +np.float64,0xbfecb5e8c9796bd2,0xbfe2f40fca276aa2,1 +np.float64,0x3fe8669ed4f0cd3e,0x3ff24c89fc9cdbff,1 +np.float64,0x71e9f65ee3d3f,0x71e9f65ee3d3f,1 +np.float64,0xbfd5ab262bab564c,0xbfd261ae108ef79e,1 +np.float64,0xbfe7091342ee1226,0xbfe06bf5622d75f6,1 +np.float64,0x49e888d093d12,0x49e888d093d12,1 +np.float64,0x2272f3dc44e5f,0x2272f3dc44e5f,1 +np.float64,0x7fe98736e0b30e6d,0x7ff0000000000000,1 +np.float64,0x30fa9cde61f54,0x30fa9cde61f54,1 +np.float64,0x7fdc163fc0382c7f,0x7ff0000000000000,1 +np.float64,0xffb40d04ee281a08,0xbff0000000000000,1 +np.float64,0xffe624617f2c48c2,0xbff0000000000000,1 +np.float64,0x3febb582bd376b05,0x3ff608da584d1716,1 +np.float64,0xfc30a5a5f8615,0xfc30a5a5f8615,1 +np.float64,0x3fef202efd7e405e,0x3ffa52009319b069,1 +np.float64,0x8004d0259829a04c,0x8004d0259829a04c,1 +np.float64,0x800622dc71ec45ba,0x800622dc71ec45ba,1 +np.float64,0xffefffffffffffff,0xbff0000000000000,1 +np.float64,0x800e89113c9d1223,0x800e89113c9d1223,1 +np.float64,0x7fba7fde3034ffbb,0x7ff0000000000000,1 +np.float64,0xbfeea31e807d463d,0xbfe3b7369b725915,1 +np.float64,0x3feb7c9589f6f92c,0x3ff5c56cf71b0dff,1 +np.float64,0x3fd52d3b59aa5a77,0x3fd919d0f683fd07,1 +np.float64,0x800de90a43fbd215,0x800de90a43fbd215,1 +np.float64,0x3fe7eb35a9efd66b,0x3ff1c940dbfc6ef9,1 +np.float64,0xbda0adcb7b416,0xbda0adcb7b416,1 +np.float64,0x7fc5753e3a2aea7b,0x7ff0000000000000,1 +np.float64,0xffdd101d103a203a,0xbff0000000000000,1 +np.float64,0x7fcb54f56836a9ea,0x7ff0000000000000,1 +np.float64,0xbfd61c8d6eac391a,0xbfd2b23bc0a2cef4,1 +np.float64,0x3feef55de37deabc,0x3ffa198639a0161d,1 +np.float64,0x7fe4ffbfaea9ff7e,0x7ff0000000000000,1 +np.float64,0x9d1071873a20e,0x9d1071873a20e,1 +np.float64,0x3fef1ecb863e3d97,0x3ffa502a81e09cfc,1 +np.float64,0xad2da12b5a5b4,0xad2da12b5a5b4,1 +np.float64,0xffe614b74c6c296e,0xbff0000000000000,1 +np.float64,0xffe60d3f286c1a7e,0xbff0000000000000,1 +np.float64,0x7fda7d91f4b4fb23,0x7ff0000000000000,1 +np.float64,0x800023f266a047e6,0x800023f266a047e6,1 +np.float64,0x7fdf5f9ad23ebf35,0x7ff0000000000000,1 +np.float64,0x3fa7459f002e8b3e,0x3fa7cf178dcf0af6,1 +np.float64,0x3fe9938d61f3271b,0x3ff39516a13caec3,1 +np.float64,0xbfd59314c3ab262a,0xbfd250830f73efd2,1 +np.float64,0xbfc7e193f72fc328,0xbfc5c924339dd7a8,1 +np.float64,0x7fec1965f17832cb,0x7ff0000000000000,1 +np.float64,0xbfd932908eb26522,0xbfd4d4312d272580,1 +np.float64,0xbfdf2d08e2be5a12,0xbfd8add1413b0b1b,1 +np.float64,0x7fdcf7cc74b9ef98,0x7ff0000000000000,1 +np.float64,0x7fc79300912f2600,0x7ff0000000000000,1 +np.float64,0xffd4bd8f23297b1e,0xbff0000000000000,1 +np.float64,0x41869ce0830e,0x41869ce0830e,1 +np.float64,0x3fe5dcec91ebb9da,0x3fef5e213598cbd4,1 +np.float64,0x800815d9c2902bb4,0x800815d9c2902bb4,1 +np.float64,0x800ba1a4b877434a,0x800ba1a4b877434a,1 +np.float64,0x80069d7bdc4d3af8,0x80069d7bdc4d3af8,1 +np.float64,0xcf00d4339e01b,0xcf00d4339e01b,1 +np.float64,0x80072b71bd4e56e4,0x80072b71bd4e56e4,1 +np.float64,0x80059ca6fbab394f,0x80059ca6fbab394f,1 +np.float64,0x3fe522fc092a45f8,0x3fedf212682bf894,1 +np.float64,0x7fe17f384ea2fe70,0x7ff0000000000000,1 +np.float64,0x0,0x0,1 +np.float64,0x3f72bb4c20257698,0x3f72c64766b52069,1 +np.float64,0x7fbc97c940392f92,0x7ff0000000000000,1 +np.float64,0xffc5904ebd2b209c,0xbff0000000000000,1 +np.float64,0xbfe34fb55b669f6a,0xbfdcff81dd30a49d,1 +np.float64,0x8007ccda006f99b5,0x8007ccda006f99b5,1 +np.float64,0x3fee50e4c8fca1ca,0x3ff9434c7750ad0f,1 +np.float64,0x7fee7b07c67cf60f,0x7ff0000000000000,1 +np.float64,0x3fdcce4a5a399c95,0x3fe230c83f28218a,1 +np.float64,0x7fee5187b37ca30e,0x7ff0000000000000,1 +np.float64,0x3fc48f6a97291ed8,0x3fc64db6200a9833,1 +np.float64,0xc7fec3498ffd9,0xc7fec3498ffd9,1 +np.float64,0x800769c59d2ed38c,0x800769c59d2ed38c,1 +np.float64,0xffe69ede782d3dbc,0xbff0000000000000,1 +np.float64,0x3fecd9770979b2ee,0x3ff76a1f2f0f08f2,1 +np.float64,0x5aa358a8b546c,0x5aa358a8b546c,1 +np.float64,0xbfe795a0506f2b40,0xbfe0afcc52c0166b,1 +np.float64,0xffd4ada1e8a95b44,0xbff0000000000000,1 +np.float64,0xffcac1dc213583b8,0xbff0000000000000,1 +np.float64,0xffe393c15fa72782,0xbff0000000000000,1 +np.float64,0xbfcd6a3c113ad478,0xbfca47a2157b9cdd,1 +np.float64,0xffedde20647bbc40,0xbff0000000000000,1 +np.float64,0x3fd0d011b1a1a024,0x3fd33a57945559f4,1 +np.float64,0x3fef27e29f7e4fc6,0x3ffa5c314e0e3d69,1 +np.float64,0xffe96ff71f72dfee,0xbff0000000000000,1 +np.float64,0xffe762414f2ec482,0xbff0000000000000,1 +np.float64,0x3fc2dcfd3d25b9fa,0x3fc452f41682a12e,1 +np.float64,0xbfbdb125b63b6248,0xbfbc08e6553296d4,1 +np.float64,0x7b915740f724,0x7b915740f724,1 +np.float64,0x60b502b2c16a1,0x60b502b2c16a1,1 +np.float64,0xbfeb38b0be367162,0xbfe254f6782cfc47,1 +np.float64,0x800dc39a3edb8735,0x800dc39a3edb8735,1 +np.float64,0x3fea4fb433349f68,0x3ff468b97cf699f5,1 +np.float64,0xbfd49967962932d0,0xbfd19ceb41ff4cd0,1 +np.float64,0xbfebf75cd377eeba,0xbfe2a576bdbccccc,1 +np.float64,0xbfb653d65c2ca7b0,0xbfb561ab8fcb3f26,1 +np.float64,0xffe3f34b8727e696,0xbff0000000000000,1 +np.float64,0x3fdd798064baf301,0x3fe2b7c130a6fc63,1 +np.float64,0x3febe027e6b7c050,0x3ff63bac1b22e12d,1 +np.float64,0x7fcaa371af3546e2,0x7ff0000000000000,1 +np.float64,0xbfe6ee980a2ddd30,0xbfe05f0bc5dc80d2,1 +np.float64,0xc559c33f8ab39,0xc559c33f8ab39,1 +np.float64,0x84542c2b08a86,0x84542c2b08a86,1 +np.float64,0xbfe5645e046ac8bc,0xbfdf3398dc3cc1bd,1 +np.float64,0x3fee8c48ae7d1892,0x3ff9902899480526,1 +np.float64,0x3fb706471c2e0c8e,0x3fb817787aace8db,1 +np.float64,0x7fefe78f91ffcf1e,0x7ff0000000000000,1 +np.float64,0xbfcf6d560b3edaac,0xbfcbddc72a2130df,1 +np.float64,0x7fd282bfd925057f,0x7ff0000000000000,1 +np.float64,0x3fb973dbee32e7b8,0x3fbac2c87cbd0215,1 +np.float64,0x3fd1ce38ff239c72,0x3fd4876de5164420,1 +np.float64,0x8008ac2e3c31585d,0x8008ac2e3c31585d,1 +np.float64,0x3fa05e06dc20bc00,0x3fa0a1b7de904dce,1 +np.float64,0x7fd925f215324be3,0x7ff0000000000000,1 +np.float64,0x3f949d95d0293b2c,0x3f94d31197d51874,1 +np.float64,0xffdded9e67bbdb3c,0xbff0000000000000,1 +np.float64,0x3fed390dcfba721c,0x3ff7e08c7a709240,1 +np.float64,0x7fe6e62300adcc45,0x7ff0000000000000,1 +np.float64,0xbfd779bc312ef378,0xbfd3a6cb64bb0181,1 +np.float64,0x3fe43e9877287d31,0x3fec3e100ef935fd,1 +np.float64,0x210b68e44216e,0x210b68e44216e,1 +np.float64,0x3fcdffc1e73bff84,0x3fd0e729d02ec539,1 +np.float64,0xcea10c0f9d422,0xcea10c0f9d422,1 +np.float64,0x7feb97a82d772f4f,0x7ff0000000000000,1 +np.float64,0x9b4b4d953696a,0x9b4b4d953696a,1 +np.float64,0x3fd1bd8e95237b1d,0x3fd4716dd34cf828,1 +np.float64,0x800fc273841f84e7,0x800fc273841f84e7,1 +np.float64,0xbfd2aef167255de2,0xbfd0340f30d82f18,1 +np.float64,0x800d021a551a0435,0x800d021a551a0435,1 +np.float64,0xffebf934a8b7f268,0xbff0000000000000,1 +np.float64,0x3fd819849fb03308,0x3fdd43bca0aac749,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x27c34b064f86a,0x27c34b064f86a,1 +np.float64,0x7fef4f5a373e9eb3,0x7ff0000000000000,1 +np.float64,0x7fd92fccce325f99,0x7ff0000000000000,1 +np.float64,0x800520869d6a410e,0x800520869d6a410e,1 +np.float64,0x3fccbcaddf397958,0x3fd01bf6b0c4d97f,1 +np.float64,0x80039ebfc4273d80,0x80039ebfc4273d80,1 +np.float64,0xbfed1f0b3c7a3e16,0xbfe31ea6e4c69141,1 +np.float64,0x7fee1bb7c4bc376f,0x7ff0000000000000,1 +np.float64,0xbfa8bee1d8317dc0,0xbfa8283b7dbf95a9,1 +np.float64,0x3fe797db606f2fb6,0x3ff171b1c2bc8fe5,1 +np.float64,0xbfee2ecfdbbc5da0,0xbfe38a3f0a43d14e,1 +np.float64,0x3fe815c7f1302b90,0x3ff1f65165c45d71,1 +np.float64,0xbfbb265c94364cb8,0xbfb9c27ec61a9a1d,1 +np.float64,0x3fcf1cab5d3e3957,0x3fd19c07444642f9,1 +np.float64,0xbfe6ae753f6d5cea,0xbfe03f99666dbe17,1 +np.float64,0xbfd18a2a73a31454,0xbfceaee204aca016,1 +np.float64,0x3fb8a1dffc3143c0,0x3fb9db38341ab1a3,1 +np.float64,0x7fd2a0376025406e,0x7ff0000000000000,1 +np.float64,0x7fe718c0e3ae3181,0x7ff0000000000000,1 +np.float64,0x3fb264d42424c9a8,0x3fb3121f071d4db4,1 +np.float64,0xd27190a7a4e32,0xd27190a7a4e32,1 +np.float64,0xbfe467668c68cecd,0xbfde2c4616738d5e,1 +np.float64,0x800ab9a2b9357346,0x800ab9a2b9357346,1 +np.float64,0x7fcbd108d537a211,0x7ff0000000000000,1 +np.float64,0x3fb79bba6e2f3770,0x3fb8bb2c140d3445,1 +np.float64,0xffefa7165e3f4e2c,0xbff0000000000000,1 +np.float64,0x7fb40185a428030a,0x7ff0000000000000,1 +np.float64,0xbfe9e3d58e73c7ab,0xbfe1c04d51c83d69,1 +np.float64,0x7fef5b97b17eb72e,0x7ff0000000000000,1 +np.float64,0x800a2957683452af,0x800a2957683452af,1 +np.float64,0x800f54f1925ea9e3,0x800f54f1925ea9e3,1 +np.float64,0xeffa4e77dff4a,0xeffa4e77dff4a,1 +np.float64,0xffbe501aa03ca038,0xbff0000000000000,1 +np.float64,0x8006c651bced8ca4,0x8006c651bced8ca4,1 +np.float64,0x3fe159faff22b3f6,0x3fe708f78efbdbed,1 +np.float64,0x800e7d59a31cfab3,0x800e7d59a31cfab3,1 +np.float64,0x3fe6ac2f272d585e,0x3ff07ee5305385c3,1 +np.float64,0x7fd014c054202980,0x7ff0000000000000,1 +np.float64,0xbfe4800b11e90016,0xbfde4648c6f29ce5,1 +np.float64,0xbfe6738470ece709,0xbfe0227b5b42b713,1 +np.float64,0x3fed052add3a0a56,0x3ff7a01819e65c6e,1 +np.float64,0xffe03106f120620e,0xbff0000000000000,1 +np.float64,0x7fe11df4d4e23be9,0x7ff0000000000000,1 +np.float64,0xbfcea25d7b3d44bc,0xbfcb3e808e7ce852,1 +np.float64,0xd0807b03a1010,0xd0807b03a1010,1 +np.float64,0x8004eda4fec9db4b,0x8004eda4fec9db4b,1 +np.float64,0x3fceb5c98d3d6b90,0x3fd15a894b15dd9f,1 +np.float64,0xbfee27228afc4e45,0xbfe38741702f3c0b,1 +np.float64,0xbfe606278c6c0c4f,0xbfdfd7cb6093652d,1 +np.float64,0xbfd66f59bc2cdeb4,0xbfd2ecb2297f6afc,1 +np.float64,0x4aee390095dc8,0x4aee390095dc8,1 +np.float64,0xbfe391355d67226a,0xbfdd46ddc0997014,1 +np.float64,0xffd27765e7a4eecc,0xbff0000000000000,1 +np.float64,0xbfe795e20a2f2bc4,0xbfe0afebc66c4dbd,1 +np.float64,0x7fc9a62e81334c5c,0x7ff0000000000000,1 +np.float64,0xffe4e57e52a9cafc,0xbff0000000000000,1 +np.float64,0x7fac326c8c3864d8,0x7ff0000000000000,1 +np.float64,0x3fe8675f6370cebf,0x3ff24d5863029c15,1 +np.float64,0x7fcf4745e73e8e8b,0x7ff0000000000000,1 +np.float64,0x7fcc9aec9f3935d8,0x7ff0000000000000,1 +np.float64,0x3fec2e8fcab85d20,0x3ff699ccd0b2fed6,1 +np.float64,0x3fd110a968222153,0x3fd38e81a88c2d13,1 +np.float64,0xffb3a68532274d08,0xbff0000000000000,1 +np.float64,0xf0e562bbe1cad,0xf0e562bbe1cad,1 +np.float64,0xbfe815b9e5f02b74,0xbfe0ec9f5023aebc,1 +np.float64,0xbf5151d88022a400,0xbf514f80c465feea,1 +np.float64,0x2547e3144a8fd,0x2547e3144a8fd,1 +np.float64,0x3fedcc0c28fb9818,0x3ff899612fbeb4c5,1 +np.float64,0x3fdc3d1c0f387a38,0x3fe1bf6e2d39bd75,1 +np.float64,0x7fe544dbe62a89b7,0x7ff0000000000000,1 +np.float64,0x8001500e48e2a01d,0x8001500e48e2a01d,1 +np.float64,0xbfed3b2b09fa7656,0xbfe329f3e7bada64,1 +np.float64,0xbfe76a943aeed528,0xbfe09b24e3aa3f79,1 +np.float64,0x3fe944330e328866,0x3ff33d472dee70c5,1 +np.float64,0x8004bbbd6cc9777c,0x8004bbbd6cc9777c,1 +np.float64,0xbfe28133fb650268,0xbfdc1ac230ac4ef5,1 +np.float64,0xc1370af7826e2,0xc1370af7826e2,1 +np.float64,0x7fcfa47f5f3f48fe,0x7ff0000000000000,1 +np.float64,0xbfa3002a04260050,0xbfa2a703a538b54e,1 +np.float64,0xffef44f3903e89e6,0xbff0000000000000,1 +np.float64,0xc32cce298659a,0xc32cce298659a,1 +np.float64,0x7b477cc2f68f0,0x7b477cc2f68f0,1 +np.float64,0x40a7f4ec814ff,0x40a7f4ec814ff,1 +np.float64,0xffee38edf67c71db,0xbff0000000000000,1 +np.float64,0x3fe23f6f1ce47ede,0x3fe8992b8bb03499,1 +np.float64,0x7fc8edfe7f31dbfc,0x7ff0000000000000,1 +np.float64,0x800bb8e6fb3771ce,0x800bb8e6fb3771ce,1 +np.float64,0xbfe11d364ee23a6c,0xbfda82a0c2ef9e46,1 +np.float64,0xbfeb993cb4b7327a,0xbfe27df565da85dc,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0x3fc1f997d723f330,0x3fc34c5cff060af1,1 +np.float64,0x6e326fa0dc64f,0x6e326fa0dc64f,1 +np.float64,0x800fa30c2c5f4618,0x800fa30c2c5f4618,1 +np.float64,0x7fed16ad603a2d5a,0x7ff0000000000000,1 +np.float64,0x9411cf172823a,0x9411cf172823a,1 +np.float64,0xffece51d4cb9ca3a,0xbff0000000000000,1 +np.float64,0x3fdda3d1453b47a3,0x3fe2d954f7849890,1 +np.float64,0xffd58330172b0660,0xbff0000000000000,1 +np.float64,0xbfc6962ae52d2c54,0xbfc4b4bdf0069f17,1 +np.float64,0xbfb4010a8e280218,0xbfb33e1236f7efa0,1 +np.float64,0x7fd0444909208891,0x7ff0000000000000,1 +np.float64,0xbfe027a24de04f44,0xbfd95e9064101e7c,1 +np.float64,0xa6f3f3214de9,0xa6f3f3214de9,1 +np.float64,0xbfe112eb0fe225d6,0xbfda768f7cbdf346,1 +np.float64,0xbfe99e90d4b33d22,0xbfe1a153e45a382a,1 +np.float64,0xffecb34f8e79669e,0xbff0000000000000,1 +np.float64,0xbfdf32c9653e6592,0xbfd8b159caf5633d,1 +np.float64,0x3fe9519829b2a330,0x3ff34c0a8152e20f,1 +np.float64,0xffd08ec8a7a11d92,0xbff0000000000000,1 +np.float64,0xffd19b71b6a336e4,0xbff0000000000000,1 +np.float64,0x7feda6b9377b4d71,0x7ff0000000000000,1 +np.float64,0x800fda2956bfb453,0x800fda2956bfb453,1 +np.float64,0x3fe54f601bea9ec0,0x3fee483cb03cbde4,1 +np.float64,0xbfe2a8ad5ee5515a,0xbfdc46ee7a10bf0d,1 +np.float64,0xbfd336c8bd266d92,0xbfd09916d432274a,1 +np.float64,0xfff0000000000000,0xbff0000000000000,1 +np.float64,0x3fd9a811a9b35024,0x3fdf8fa68cc048e3,1 +np.float64,0x3fe078c68520f18d,0x3fe58aecc1f9649b,1 +np.float64,0xbfc6d5aa3a2dab54,0xbfc4e9ea84f3d73c,1 +np.float64,0xf9682007f2d04,0xf9682007f2d04,1 +np.float64,0x3fee54523dbca8a4,0x3ff947b826de81f4,1 +np.float64,0x80461e5d008c4,0x80461e5d008c4,1 +np.float64,0x3fdd6d12d5bada26,0x3fe2ade8dee2fa02,1 +np.float64,0x3fcd5f0dfd3abe18,0x3fd081d6cd25731d,1 +np.float64,0x7fa36475c826c8eb,0x7ff0000000000000,1 +np.float64,0xbfdf3ce052be79c0,0xbfd8b78baccfb908,1 +np.float64,0x7fcd890dd13b121b,0x7ff0000000000000,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0x800ec0f4281d81e8,0x800ec0f4281d81e8,1 +np.float64,0xbfba960116352c00,0xbfb94085424496d9,1 +np.float64,0x3fdddedc9bbbbdb8,0x3fe30853fe4ef5ce,1 +np.float64,0x238092a847013,0x238092a847013,1 +np.float64,0xbfe38d4803271a90,0xbfdd429a955c46af,1 +np.float64,0xbfd4c9067329920c,0xbfd1bf6255ed91a4,1 +np.float64,0xbfbee213923dc428,0xbfbd17ce1bda6088,1 +np.float64,0xffd5a2d337ab45a6,0xbff0000000000000,1 +np.float64,0x7fe21bfcf82437f9,0x7ff0000000000000,1 +np.float64,0x3fe2a2714da544e3,0x3fe949594a74ea25,1 +np.float64,0x800e05cf8ebc0b9f,0x800e05cf8ebc0b9f,1 +np.float64,0x559a1526ab343,0x559a1526ab343,1 +np.float64,0xffe6a1b7906d436e,0xbff0000000000000,1 +np.float64,0xffef27d6253e4fab,0xbff0000000000000,1 +np.float64,0xbfe0f90ab0a1f216,0xbfda5828a1edde48,1 +np.float64,0x9675d2ab2cebb,0x9675d2ab2cebb,1 +np.float64,0xffee0f7eecfc1efd,0xbff0000000000000,1 +np.float64,0x2ec005625d801,0x2ec005625d801,1 +np.float64,0x7fde35ff14bc6bfd,0x7ff0000000000000,1 +np.float64,0xffe03f36d9e07e6d,0xbff0000000000000,1 +np.float64,0x7fe09ff7c4213fef,0x7ff0000000000000,1 +np.float64,0xffeac29dd1b5853b,0xbff0000000000000,1 +np.float64,0x3fb63120aa2c6241,0x3fb72ea3de98a853,1 +np.float64,0xffd079eb84a0f3d8,0xbff0000000000000,1 +np.float64,0xbfd3c2cc75a78598,0xbfd1005996880b3f,1 +np.float64,0x7fb80507ee300a0f,0x7ff0000000000000,1 +np.float64,0xffe8006105f000c1,0xbff0000000000000,1 +np.float64,0x8009138b0ab22716,0x8009138b0ab22716,1 +np.float64,0xbfd6dfb40b2dbf68,0xbfd33b8e4008e3b0,1 +np.float64,0xbfe7c2cf9bef859f,0xbfe0c55c807460df,1 +np.float64,0xbfe75fe4da6ebfca,0xbfe09600256d3b81,1 +np.float64,0xffd662fc73acc5f8,0xbff0000000000000,1 +np.float64,0x20b99dbc41735,0x20b99dbc41735,1 +np.float64,0x3fe10b38ade21671,0x3fe68229a9bbeefc,1 +np.float64,0x3743b99c6e878,0x3743b99c6e878,1 +np.float64,0xff9eb5ed903d6be0,0xbff0000000000000,1 +np.float64,0x3ff0000000000000,0x3ffb7e151628aed3,1 +np.float64,0xffb9e0569e33c0b0,0xbff0000000000000,1 +np.float64,0x7fd39c804fa73900,0x7ff0000000000000,1 +np.float64,0x3fe881ef67f103df,0x3ff269dd704b7129,1 +np.float64,0x1b6eb40236dd7,0x1b6eb40236dd7,1 +np.float64,0xbfe734ea432e69d4,0xbfe0813e6355d02f,1 +np.float64,0xffcf48f3743e91e8,0xbff0000000000000,1 +np.float64,0xffed10bcf6fa2179,0xbff0000000000000,1 +np.float64,0x3fef07723b7e0ee4,0x3ffa3156123f3c15,1 +np.float64,0xffe45c704aa8b8e0,0xbff0000000000000,1 +np.float64,0xb7b818d96f703,0xb7b818d96f703,1 +np.float64,0x42fcc04085f99,0x42fcc04085f99,1 +np.float64,0xbfda7ced01b4f9da,0xbfd5b0ce1e5524ae,1 +np.float64,0xbfe1e5963d63cb2c,0xbfdb6a87b6c09185,1 +np.float64,0x7fdfa18003bf42ff,0x7ff0000000000000,1 +np.float64,0xbfe3790a43e6f214,0xbfdd2c9a38b4f089,1 +np.float64,0xffe0ff5b9ae1feb6,0xbff0000000000000,1 +np.float64,0x80085a7d3110b4fb,0x80085a7d3110b4fb,1 +np.float64,0xffd6bfa6622d7f4c,0xbff0000000000000,1 +np.float64,0xbfef5ddc7cfebbb9,0xbfe3fe170521593e,1 +np.float64,0x3fc21773fa242ee8,0x3fc36ebda1f91a72,1 +np.float64,0x7fc04d98da209b31,0x7ff0000000000000,1 +np.float64,0xbfeba3b535b7476a,0xbfe282602e3c322e,1 +np.float64,0xffd41fb5c1a83f6c,0xbff0000000000000,1 +np.float64,0xf87d206df0fa4,0xf87d206df0fa4,1 +np.float64,0x800060946fc0c12a,0x800060946fc0c12a,1 +np.float64,0x3fe69d5f166d3abe,0x3ff06fdddcf4ca93,1 +np.float64,0x7fe9b5793b336af1,0x7ff0000000000000,1 +np.float64,0x7fe0dd4143e1ba82,0x7ff0000000000000,1 +np.float64,0xbfa8eaea3c31d5d0,0xbfa8522e397da3bd,1 +np.float64,0x119f0078233e1,0x119f0078233e1,1 +np.float64,0xbfd78a207aaf1440,0xbfd3b225bbf2ab4f,1 +np.float64,0xc66a6d4d8cd4e,0xc66a6d4d8cd4e,1 +np.float64,0xe7fc4b57cff8a,0xe7fc4b57cff8a,1 +np.float64,0x800883e8091107d0,0x800883e8091107d0,1 +np.float64,0x3fa6520c842ca419,0x3fa6d06e1041743a,1 +np.float64,0x3fa563182c2ac630,0x3fa5d70e27a84c97,1 +np.float64,0xe6a30b61cd462,0xe6a30b61cd462,1 +np.float64,0x3fee85dac37d0bb6,0x3ff987cfa41a9778,1 +np.float64,0x3fe8f621db71ec44,0x3ff2e7b768a2e9d0,1 +np.float64,0x800f231d861e463b,0x800f231d861e463b,1 +np.float64,0xbfe22eb07c645d61,0xbfdbbdbb853ab4c6,1 +np.float64,0x7fd2dda2dea5bb45,0x7ff0000000000000,1 +np.float64,0xbfd09b79a0a136f4,0xbfcd4147606ffd27,1 +np.float64,0xca039cc394074,0xca039cc394074,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0xcb34575d9668b,0xcb34575d9668b,1 +np.float64,0x3fea62c1f3f4c584,0x3ff47e6dc67ec89f,1 +np.float64,0x7fe544c8606a8990,0x7ff0000000000000,1 +np.float64,0xffe0a980c4615301,0xbff0000000000000,1 +np.float64,0x3fdd67d5f8bacfac,0x3fe2a9c3421830f1,1 +np.float64,0xffe41d3dda283a7b,0xbff0000000000000,1 +np.float64,0xffeed59e5ffdab3c,0xbff0000000000000,1 +np.float64,0xffeeae8326fd5d05,0xbff0000000000000,1 +np.float64,0x800d70b4fa7ae16a,0x800d70b4fa7ae16a,1 +np.float64,0xffec932e6839265c,0xbff0000000000000,1 +np.float64,0xee30b185dc616,0xee30b185dc616,1 +np.float64,0x7fc3cf4397279e86,0x7ff0000000000000,1 +np.float64,0xbfeab34f1875669e,0xbfe21b868229de7d,1 +np.float64,0xf45f5f7de8bec,0xf45f5f7de8bec,1 +np.float64,0x3fad2c4b203a5896,0x3fae0528b568f3cf,1 +np.float64,0xbfe2479543e48f2a,0xbfdbd9e57cf64028,1 +np.float64,0x3fd41a1473283429,0x3fd79df2bc60debb,1 +np.float64,0x3febb5155ef76a2a,0x3ff608585afd698b,1 +np.float64,0xffe21f5303e43ea6,0xbff0000000000000,1 +np.float64,0x7fe9ef390833de71,0x7ff0000000000000,1 +np.float64,0xffe8ee873d71dd0e,0xbff0000000000000,1 +np.float64,0x7fd7cbc55e2f978a,0x7ff0000000000000,1 +np.float64,0x80081f9080d03f21,0x80081f9080d03f21,1 +np.float64,0x7fecbafc8b3975f8,0x7ff0000000000000,1 +np.float64,0x800b6c4b0b16d896,0x800b6c4b0b16d896,1 +np.float64,0xbfaa0fc2d4341f80,0xbfa968cdf32b98ad,1 +np.float64,0x3fec79fe4078f3fc,0x3ff6f5361a4a5d93,1 +np.float64,0xbfb14b79de2296f0,0xbfb0b93b75ecec11,1 +np.float64,0x800009d084c013a2,0x800009d084c013a2,1 +np.float64,0x4a4cdfe29499d,0x4a4cdfe29499d,1 +np.float64,0xbfe721c2d56e4386,0xbfe077f541987d76,1 +np.float64,0x3e5f539e7cbeb,0x3e5f539e7cbeb,1 +np.float64,0x3fd23f044c247e09,0x3fd51ceafcdd64aa,1 +np.float64,0x3fc70785b02e0f0b,0x3fc93b2a37eb342a,1 +np.float64,0xbfe7ab4ec7af569e,0xbfe0ba28eecbf6b0,1 +np.float64,0x800c1d4134583a83,0x800c1d4134583a83,1 +np.float64,0xffd9a73070334e60,0xbff0000000000000,1 +np.float64,0x68a4bf24d1499,0x68a4bf24d1499,1 +np.float64,0x7feba9d9507753b2,0x7ff0000000000000,1 +np.float64,0xbfe9d747db73ae90,0xbfe1bab53d932010,1 +np.float64,0x800a9a4aed953496,0x800a9a4aed953496,1 +np.float64,0xffcb89b0ad371360,0xbff0000000000000,1 +np.float64,0xbfc62388b82c4710,0xbfc4547be442a38c,1 +np.float64,0x800a006d187400db,0x800a006d187400db,1 +np.float64,0x3fcef2fbd33de5f8,0x3fd18177b2150148,1 +np.float64,0x8000b74e3da16e9d,0x8000b74e3da16e9d,1 +np.float64,0x25be536e4b7cb,0x25be536e4b7cb,1 +np.float64,0x3fa86e189430dc31,0x3fa905b4684c9f01,1 +np.float64,0xa7584b114eb0a,0xa7584b114eb0a,1 +np.float64,0x800331133c866227,0x800331133c866227,1 +np.float64,0x3fb52b48142a5690,0x3fb611a6f6e7c664,1 +np.float64,0x3fe825797cf04af2,0x3ff206fd60e98116,1 +np.float64,0x3fd0bec4e5217d8a,0x3fd323db3ffd59b2,1 +np.float64,0x907b43a120f7,0x907b43a120f7,1 +np.float64,0x3fed31eb1d3a63d6,0x3ff7d7a91c6930a4,1 +np.float64,0x7f97a13d782f427a,0x7ff0000000000000,1 +np.float64,0xffc7121a702e2434,0xbff0000000000000,1 +np.float64,0xbfe8bb4cbbf1769a,0xbfe139d7f46f1fb1,1 +np.float64,0xbfe3593cc5a6b27a,0xbfdd09ec91d6cd48,1 +np.float64,0x7fcff218ff9ff,0x7fcff218ff9ff,1 +np.float64,0x3fe73651d4ae6ca4,0x3ff10c5c1d21d127,1 +np.float64,0x80054e396eaa9c74,0x80054e396eaa9c74,1 +np.float64,0x3fe527d5f9aa4fac,0x3fedfb7743db9b53,1 +np.float64,0x7fec6f28c5f8de51,0x7ff0000000000000,1 +np.float64,0x3fcd2bbff53a5780,0x3fd061987416b49b,1 +np.float64,0xffd1f0046423e008,0xbff0000000000000,1 +np.float64,0x80034d97fac69b31,0x80034d97fac69b31,1 +np.float64,0x3faa803f14350080,0x3fab32e3f8073be4,1 +np.float64,0x3fcf8da0163f1b40,0x3fd1e42ba2354c8e,1 +np.float64,0x3fd573c2632ae785,0x3fd97c37609d18d7,1 +np.float64,0x7f922960482452c0,0x7ff0000000000000,1 +np.float64,0x800ebd0c5d3d7a19,0x800ebd0c5d3d7a19,1 +np.float64,0xbfee63b7807cc76f,0xbfe39ec7981035db,1 +np.float64,0xffdc023f8e380480,0xbff0000000000000,1 +np.float64,0x3fe3ffa02c67ff40,0x3febc7f8b900ceba,1 +np.float64,0x36c508b86d8a2,0x36c508b86d8a2,1 +np.float64,0x3fc9fbb0f133f760,0x3fcccee9f6ba801c,1 +np.float64,0x3fd75c1d5faeb83b,0x3fdc3150f9eff99e,1 +np.float64,0x3fe9a8d907b351b2,0x3ff3accc78a31df8,1 +np.float64,0x3fdd8fdcafbb1fb8,0x3fe2c97c97757994,1 +np.float64,0x3fb10c34ca22186a,0x3fb1a0cc42c76b86,1 +np.float64,0xbff0000000000000,0xbfe43a54e4e98864,1 +np.float64,0xffd046aefda08d5e,0xbff0000000000000,1 +np.float64,0x80067989758cf314,0x80067989758cf314,1 +np.float64,0x3fee9d77763d3aef,0x3ff9a67ff0841ba5,1 +np.float64,0xffe4d3cbf8e9a798,0xbff0000000000000,1 +np.float64,0x800f9cab273f3956,0x800f9cab273f3956,1 +np.float64,0x800a5c84f9f4b90a,0x800a5c84f9f4b90a,1 +np.float64,0x4fd377009fa8,0x4fd377009fa8,1 +np.float64,0xbfe7ba26af6f744e,0xbfe0c13ce45d6f95,1 +np.float64,0x609c8a86c1392,0x609c8a86c1392,1 +np.float64,0x7fe4d0296ea9a052,0x7ff0000000000000,1 +np.float64,0x59847bccb3090,0x59847bccb3090,1 +np.float64,0xbfdf944157bf2882,0xbfd8ed092bacad43,1 +np.float64,0xbfe7560a632eac15,0xbfe091405ec34973,1 +np.float64,0x3fea0699f4340d34,0x3ff415eb72089230,1 +np.float64,0x800a5533f374aa68,0x800a5533f374aa68,1 +np.float64,0xbf8e8cdb103d19c0,0xbf8e52cffcb83774,1 +np.float64,0x3fe87d9e52f0fb3d,0x3ff2653952344b81,1 +np.float64,0x7fca3950f73472a1,0x7ff0000000000000,1 +np.float64,0xffd5d1068aaba20e,0xbff0000000000000,1 +np.float64,0x3fd1a5f169a34be4,0x3fd4524b6ef17f91,1 +np.float64,0x3fdc4b95a8b8972c,0x3fe1caafd8652bf7,1 +np.float64,0x3fe333f65a6667ed,0x3fea502fb1f8a578,1 +np.float64,0xbfc117aaac222f54,0xbfc00018a4b84b6e,1 +np.float64,0x7fecf2efdf39e5df,0x7ff0000000000000,1 +np.float64,0x4e99d83e9d33c,0x4e99d83e9d33c,1 +np.float64,0x800d18937bda3127,0x800d18937bda3127,1 +np.float64,0x3fd6c67778ad8cef,0x3fdb5aba70a3ea9e,1 +np.float64,0x3fdbb71770b76e2f,0x3fe157ae8da20bc5,1 +np.float64,0xbfe9faf6ebf3f5ee,0xbfe1ca963d83f17f,1 +np.float64,0x80038850ac0710a2,0x80038850ac0710a2,1 +np.float64,0x8006beb72f8d7d6f,0x8006beb72f8d7d6f,1 +np.float64,0x3feead67bffd5acf,0x3ff9bb43e8b15e2f,1 +np.float64,0xbfd1174b89222e98,0xbfcdff9972799907,1 +np.float64,0x7fee2c077cfc580e,0x7ff0000000000000,1 +np.float64,0xbfbdbd904e3b7b20,0xbfbc13f4916ed466,1 +np.float64,0xffee47b8fe3c8f71,0xbff0000000000000,1 +np.float64,0xffd161884222c310,0xbff0000000000000,1 +np.float64,0xbfd42f27c4a85e50,0xbfd14fa8d67ba5ee,1 +np.float64,0x7fefffffffffffff,0x7ff0000000000000,1 +np.float64,0x8008151791b02a30,0x8008151791b02a30,1 +np.float64,0xbfba79029234f208,0xbfb926616cf41755,1 +np.float64,0x8004c486be29890e,0x8004c486be29890e,1 +np.float64,0x7fe5325a252a64b3,0x7ff0000000000000,1 +np.float64,0x5a880f04b5103,0x5a880f04b5103,1 +np.float64,0xbfe6f4b7702de96f,0xbfe06209002dd72c,1 +np.float64,0xbfdf8b3739bf166e,0xbfd8e783efe3c30f,1 +np.float64,0xbfe32571c8e64ae4,0xbfdcd128b9aa49a1,1 +np.float64,0xbfe97c98c172f932,0xbfe1920ac0fc040f,1 +np.float64,0x3fd0b513a2a16a28,0x3fd31744e3a1bf0a,1 +np.float64,0xffe3ab70832756e0,0xbff0000000000000,1 +np.float64,0x80030f055ce61e0b,0x80030f055ce61e0b,1 +np.float64,0xffd5f3b21b2be764,0xbff0000000000000,1 +np.float64,0x800c1f2d6c783e5b,0x800c1f2d6c783e5b,1 +np.float64,0x80075f4f148ebe9f,0x80075f4f148ebe9f,1 +np.float64,0xbfa5a046f42b4090,0xbfa52cfbf8992256,1 +np.float64,0xffd6702583ace04c,0xbff0000000000000,1 +np.float64,0x800dc0a5cf1b814c,0x800dc0a5cf1b814c,1 +np.float64,0x14f2203a29e45,0x14f2203a29e45,1 +np.float64,0x800421a40ee84349,0x800421a40ee84349,1 +np.float64,0xbfea7c279df4f84f,0xbfe2037fff3ed877,1 +np.float64,0xbfe9b41ddcf3683c,0xbfe1aafe18a44bf8,1 +np.float64,0xffe7b037022f606e,0xbff0000000000000,1 +np.float64,0x800bafb648775f6d,0x800bafb648775f6d,1 +np.float64,0x800b81681d5702d1,0x800b81681d5702d1,1 +np.float64,0x3fe29f8dc8653f1c,0x3fe9442da1c32c6b,1 +np.float64,0xffef9a05dc7f340b,0xbff0000000000000,1 +np.float64,0x800c8c65a65918cb,0x800c8c65a65918cb,1 +np.float64,0xffe99df0d5f33be1,0xbff0000000000000,1 +np.float64,0x9afeb22535fd7,0x9afeb22535fd7,1 +np.float64,0x7fc620dd822c41ba,0x7ff0000000000000,1 +np.float64,0x29c2cdf25385b,0x29c2cdf25385b,1 +np.float64,0x2d92284e5b246,0x2d92284e5b246,1 +np.float64,0xffc794aa942f2954,0xbff0000000000000,1 +np.float64,0xbfe7ed907eafdb21,0xbfe0d9a7b1442497,1 +np.float64,0xbfd4e0d4aea9c1aa,0xbfd1d09366dba2a7,1 +np.float64,0xa70412c34e083,0xa70412c34e083,1 +np.float64,0x41dc0ee083b9,0x41dc0ee083b9,1 +np.float64,0x8000ece20da1d9c5,0x8000ece20da1d9c5,1 +np.float64,0x3fdf3dae103e7b5c,0x3fe42314bf826bc5,1 +np.float64,0x3fe972533c72e4a6,0x3ff3703761e70f04,1 +np.float64,0xffba1d2b82343a58,0xbff0000000000000,1 +np.float64,0xe0086c83c010e,0xe0086c83c010e,1 +np.float64,0x3fe6fb0dde6df61c,0x3ff0cf5fae01aa08,1 +np.float64,0x3fcfaf057e3f5e0b,0x3fd1f98c1fd20139,1 +np.float64,0xbfdca19d9239433c,0xbfd7158745192ca9,1 +np.float64,0xffb17f394e22fe70,0xbff0000000000000,1 +np.float64,0x7fe40f05c7681e0b,0x7ff0000000000000,1 +np.float64,0x800b3c575d5678af,0x800b3c575d5678af,1 +np.float64,0x7fa4ab20ac295640,0x7ff0000000000000,1 +np.float64,0xbfd2fff4f6a5ffea,0xbfd07069bb50e1a6,1 +np.float64,0xbfef81b9147f0372,0xbfe40b845a749787,1 +np.float64,0x7fd7400e54ae801c,0x7ff0000000000000,1 +np.float64,0x3fd4401a17a88034,0x3fd7d20fb76a4f3d,1 +np.float64,0xbfd3e907fd27d210,0xbfd11c64b7577fc5,1 +np.float64,0x7fe34bed9ae697da,0x7ff0000000000000,1 +np.float64,0x80039119c0472234,0x80039119c0472234,1 +np.float64,0xbfe2e36ac565c6d6,0xbfdc88454ee997b3,1 +np.float64,0xbfec57204478ae40,0xbfe2cd3183de1d2d,1 +np.float64,0x7fed7e2a12fafc53,0x7ff0000000000000,1 +np.float64,0x7fd5c5fa7d2b8bf4,0x7ff0000000000000,1 +np.float64,0x3fdcf368d6b9e6d0,0x3fe24decce1ebd35,1 +np.float64,0xbfe0ebfcf2e1d7fa,0xbfda48c9247ae8cf,1 +np.float64,0xbfe10dbea2e21b7e,0xbfda707d68b59674,1 +np.float64,0xbfdf201b6ebe4036,0xbfd8a5df27742fdf,1 +np.float64,0xffe16555be62caab,0xbff0000000000000,1 +np.float64,0xffc23a5db22474bc,0xbff0000000000000,1 +np.float64,0xffe1cbb3f8a39768,0xbff0000000000000,1 +np.float64,0x8007b823be0f7048,0x8007b823be0f7048,1 +np.float64,0xbfa5d1f3042ba3e0,0xbfa55c97cd77bf6e,1 +np.float64,0xbfe316a074662d41,0xbfdcc0da4e7334d0,1 +np.float64,0xbfdfab2bf2bf5658,0xbfd8fb046b88b51f,1 +np.float64,0xfacc9dabf5994,0xfacc9dabf5994,1 +np.float64,0xffe7e420a4efc841,0xbff0000000000000,1 +np.float64,0x800bb986cd57730e,0x800bb986cd57730e,1 +np.float64,0xbfe314fa38e629f4,0xbfdcbf09302c3bf5,1 +np.float64,0x7fc56b17772ad62e,0x7ff0000000000000,1 +np.float64,0x8006a87d54ad50fb,0x8006a87d54ad50fb,1 +np.float64,0xbfe6633e4a6cc67c,0xbfe01a67c3b3ff32,1 +np.float64,0x3fe0ff56eb21feae,0x3fe66df01defb0fb,1 +np.float64,0xffc369cfc126d3a0,0xbff0000000000000,1 +np.float64,0x7fe8775d9a30eeba,0x7ff0000000000000,1 +np.float64,0x3fb53db13e2a7b60,0x3fb625a7279cdac3,1 +np.float64,0xffee76e7e6fcedcf,0xbff0000000000000,1 +np.float64,0xb45595b568ab3,0xb45595b568ab3,1 +np.float64,0xffa09a1d50213440,0xbff0000000000000,1 +np.float64,0x7d11dc16fa23c,0x7d11dc16fa23c,1 +np.float64,0x7fd4cc2928299851,0x7ff0000000000000,1 +np.float64,0x6a30e0ead461d,0x6a30e0ead461d,1 +np.float64,0x7fd3ee735a27dce6,0x7ff0000000000000,1 +np.float64,0x8008d7084b31ae11,0x8008d7084b31ae11,1 +np.float64,0x3fe469353fe8d26a,0x3fec8e7e2df38590,1 +np.float64,0x3fcecef2743d9de5,0x3fd16a888b715dfd,1 +np.float64,0x460130d68c027,0x460130d68c027,1 +np.float64,0xbfd76510c62eca22,0xbfd398766b741d6e,1 +np.float64,0x800ec88c2a5d9118,0x800ec88c2a5d9118,1 +np.float64,0x3fac969c6c392d40,0x3fad66ca6a1e583c,1 +np.float64,0x3fe5c616bf6b8c2e,0x3fef30f931e8dde5,1 +np.float64,0xb4cb6cd56996e,0xb4cb6cd56996e,1 +np.float64,0xffc3eacf8827d5a0,0xbff0000000000000,1 +np.float64,0x3fe1ceaf60e39d5f,0x3fe7d31e0a627cf9,1 +np.float64,0xffea69b42ff4d368,0xbff0000000000000,1 +np.float64,0x800ff8aef99ff15e,0x800ff8aef99ff15e,1 +np.float64,0x6c3953f0d872b,0x6c3953f0d872b,1 +np.float64,0x8007ca5a0d0f94b5,0x8007ca5a0d0f94b5,1 +np.float64,0x800993ce3ad3279d,0x800993ce3ad3279d,1 +np.float64,0x3fe5a4d1516b49a2,0x3feeef67b22ac65b,1 +np.float64,0x8003d7512a67aea3,0x8003d7512a67aea3,1 +np.float64,0x33864430670c9,0x33864430670c9,1 +np.float64,0xbfdbf477e3b7e8f0,0xbfd6a63f1b36f424,1 +np.float64,0x3fb5da92582bb525,0x3fb6d04ef1a1d31a,1 +np.float64,0xe38aae71c7156,0xe38aae71c7156,1 +np.float64,0x3fcaf5590a35eab2,0x3fce01ed6eb6188e,1 +np.float64,0x800deba9b05bd754,0x800deba9b05bd754,1 +np.float64,0x7fee0cde287c19bb,0x7ff0000000000000,1 +np.float64,0xbfe0c2ae70e1855d,0xbfda17fa64d84fcf,1 +np.float64,0x518618faa30c4,0x518618faa30c4,1 +np.float64,0xbfeb4c49b8769894,0xbfe25d52cd7e529f,1 +np.float64,0xbfeb3aa21b367544,0xbfe255cae1df4cfd,1 +np.float64,0xffd23f1c5d247e38,0xbff0000000000000,1 +np.float64,0xff9a75132034ea20,0xbff0000000000000,1 +np.float64,0xbfef9d96307f3b2c,0xbfe415e8b6ce0e50,1 +np.float64,0x8004046f2f0808df,0x8004046f2f0808df,1 +np.float64,0x3fe15871aea2b0e3,0x3fe706532ea5c770,1 +np.float64,0x7fd86b1576b0d62a,0x7ff0000000000000,1 +np.float64,0xbfc240a5c724814c,0xbfc102c7971ca455,1 +np.float64,0xffd8ea670bb1d4ce,0xbff0000000000000,1 +np.float64,0xbfeb1ddd1ff63bba,0xbfe2497c4e27bb8e,1 +np.float64,0x3fcd47e0a33a8fc1,0x3fd0734444150d83,1 +np.float64,0xe00b6a65c016e,0xe00b6a65c016e,1 +np.float64,0xbfc7d582142fab04,0xbfc5bf1fbe755a4c,1 +np.float64,0x8cc91ca11993,0x8cc91ca11993,1 +np.float64,0x7fdbc530e3b78a61,0x7ff0000000000000,1 +np.float64,0x7fee437522bc86e9,0x7ff0000000000000,1 +np.float64,0xffe9e09ae2b3c135,0xbff0000000000000,1 +np.float64,0x8002841cada5083a,0x8002841cada5083a,1 +np.float64,0x3fd6b485f8ad690c,0x3fdb412135932699,1 +np.float64,0x80070e8d0b0e1d1b,0x80070e8d0b0e1d1b,1 +np.float64,0x7fed5df165babbe2,0x7ff0000000000000,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0x7fe99d08cd333a11,0x7ff0000000000000,1 +np.float64,0xdfff4201bfff,0xdfff4201bfff,1 +np.float64,0x800ccf7aaf999ef6,0x800ccf7aaf999ef6,1 +np.float64,0x3fddb05aad3b60b5,0x3fe2e34bdd1dd9d5,1 +np.float64,0xbfe5e1c60e6bc38c,0xbfdfb3275cc1675f,1 +np.float64,0x8004fe674269fccf,0x8004fe674269fccf,1 +np.float64,0x7fe9280363325006,0x7ff0000000000000,1 +np.float64,0xf605b9f1ec0b7,0xf605b9f1ec0b7,1 +np.float64,0x800c7c214018f843,0x800c7c214018f843,1 +np.float64,0x7fd97eb6b9b2fd6c,0x7ff0000000000000,1 +np.float64,0x7fd03f8fb6207f1e,0x7ff0000000000000,1 +np.float64,0x7fc526b64d2a4d6c,0x7ff0000000000000,1 +np.float64,0xbfef1a7c42fe34f9,0xbfe3e4b4399e0fcf,1 +np.float64,0xffdde10a2fbbc214,0xbff0000000000000,1 +np.float64,0xbfdd274f72ba4e9e,0xbfd76aa73788863c,1 +np.float64,0xbfecf7f77af9efef,0xbfe30ee2ae03fed1,1 +np.float64,0xffde709322bce126,0xbff0000000000000,1 +np.float64,0x268b5dac4d16d,0x268b5dac4d16d,1 +np.float64,0x8005c099606b8134,0x8005c099606b8134,1 +np.float64,0xffcf54c1593ea984,0xbff0000000000000,1 +np.float64,0xbfee9b8ebabd371d,0xbfe3b44f2663139d,1 +np.float64,0x3faf0330643e0661,0x3faff88fab74b447,1 +np.float64,0x7fe1c6011be38c01,0x7ff0000000000000,1 +np.float64,0xbfe9d58053b3ab01,0xbfe1b9ea12242485,1 +np.float64,0xbfe15a80fee2b502,0xbfdaca2aa7d1231a,1 +np.float64,0x7fe0d766d8a1aecd,0x7ff0000000000000,1 +np.float64,0x800f65e6a21ecbcd,0x800f65e6a21ecbcd,1 +np.float64,0x7fc85e45a530bc8a,0x7ff0000000000000,1 +np.float64,0x3fcc240e5438481d,0x3fcf7954fc080ac3,1 +np.float64,0xffddd49da2bba93c,0xbff0000000000000,1 +np.float64,0x1376f36c26edf,0x1376f36c26edf,1 +np.float64,0x3feffb7af17ff6f6,0x3ffb77f0ead2f881,1 +np.float64,0x3fd9354ea9b26a9d,0x3fdee4e4c8db8239,1 +np.float64,0xffdf7beed4bef7de,0xbff0000000000000,1 +np.float64,0xbfdef256ecbde4ae,0xbfd889b0e213a019,1 +np.float64,0x800d78bd1e7af17a,0x800d78bd1e7af17a,1 +np.float64,0xb66d66276cdad,0xb66d66276cdad,1 +np.float64,0x7fd8f51138b1ea21,0x7ff0000000000000,1 +np.float64,0xffe8c9c302b19385,0xbff0000000000000,1 +np.float64,0x8000be4cf5417c9b,0x8000be4cf5417c9b,1 +np.float64,0xbfe2293a25645274,0xbfdbb78a8c547c68,1 +np.float64,0xce8392c19d08,0xce8392c19d08,1 +np.float64,0xbfe075736b60eae7,0xbfd9bc0f6e34a283,1 +np.float64,0xbfe8d6fe6a71adfd,0xbfe1469ba80b4915,1 +np.float64,0xffe0c7993fa18f32,0xbff0000000000000,1 +np.float64,0x3fce5210fd3ca422,0x3fd11b40a1270a95,1 +np.float64,0x6c0534a8d80a7,0x6c0534a8d80a7,1 +np.float64,0x23c1823647831,0x23c1823647831,1 +np.float64,0x3fc901253732024a,0x3fcb9d264accb07c,1 +np.float64,0x3fe42b8997685714,0x3fec1a39e207b6e4,1 +np.float64,0x3fec4fd00fb89fa0,0x3ff6c1fdd0c262c8,1 +np.float64,0x8007b333caaf6668,0x8007b333caaf6668,1 +np.float64,0x800f9275141f24ea,0x800f9275141f24ea,1 +np.float64,0xffbba361a23746c0,0xbff0000000000000,1 +np.float64,0xbfee4effa9fc9dff,0xbfe396c11d0cd524,1 +np.float64,0x3e47e84c7c8fe,0x3e47e84c7c8fe,1 +np.float64,0x3fe80eb7b1301d6f,0x3ff1eed318a00153,1 +np.float64,0x7fd3f4c5b4a7e98a,0x7ff0000000000000,1 +np.float64,0x158abab02b158,0x158abab02b158,1 +np.float64,0x1,0x1,1 +np.float64,0x1f1797883e2f4,0x1f1797883e2f4,1 +np.float64,0x3feec055d03d80ac,0x3ff9d3fb0394de33,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0xbfd070860ea0e10c,0xbfccfeec2828efef,1 +np.float64,0x80015c8b3e82b917,0x80015c8b3e82b917,1 +np.float64,0xffef9956d9ff32ad,0xbff0000000000000,1 +np.float64,0x7fe7f087dd2fe10f,0x7ff0000000000000,1 +np.float64,0x8002e7718665cee4,0x8002e7718665cee4,1 +np.float64,0x3fdfb9adb2bf735c,0x3fe4887a86214c1e,1 +np.float64,0xffc7747dfb2ee8fc,0xbff0000000000000,1 +np.float64,0x3fec309bb5386137,0x3ff69c44e1738547,1 +np.float64,0xffdbe2bf9ab7c580,0xbff0000000000000,1 +np.float64,0xbfe6a274daed44ea,0xbfe039aff2be9d48,1 +np.float64,0x7fd5a4e4efab49c9,0x7ff0000000000000,1 +np.float64,0xffbe6aaeb03cd560,0xbff0000000000000,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log.csv new file mode 100644 index 0000000000000000000000000000000000000000..b8f6b08757d5bddbec06328ac2c3f6b694d85fd3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log.csv @@ -0,0 +1,271 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0xc2afbc1b,4 +np.float32,0x007b2490,0xc2aec01e,4 +np.float32,0x007c99fa,0xc2aeba17,4 +np.float32,0x00734a0c,0xc2aee1dc,4 +np.float32,0x0070de24,0xc2aeecba,4 +np.float32,0x007fffff,0xc2aeac50,4 +np.float32,0x00000001,0xc2ce8ed0,4 +## -ve denormals ## +np.float32,0x80495d65,0xffc00000,4 +np.float32,0x806894f6,0xffc00000,4 +np.float32,0x80555a76,0xffc00000,4 +np.float32,0x804e1fb8,0xffc00000,4 +np.float32,0x80687de9,0xffc00000,4 +np.float32,0x807fffff,0xffc00000,4 +np.float32,0x80000001,0xffc00000,4 +## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ## +np.float32,0x00000000,0xff800000,4 +np.float32,0x80000000,0xff800000,4 +np.float32,0x7f7fffff,0x42b17218,4 +np.float32,0x80800000,0xffc00000,4 +np.float32,0xff7fffff,0xffc00000,4 +## 1.00f + 0x00000001 ## +np.float32,0x3f800000,0x00000000,4 +np.float32,0x3f800001,0x33ffffff,4 +np.float32,0x3f800002,0x347ffffe,4 +np.float32,0x3f7fffff,0xb3800000,4 +np.float32,0x3f7ffffe,0xb4000000,4 +np.float32,0x3f7ffffd,0xb4400001,4 +np.float32,0x402df853,0x3f7ffffe,4 +np.float32,0x402df854,0x3f7fffff,4 +np.float32,0x402df855,0x3f800000,4 +np.float32,0x402df856,0x3f800001,4 +np.float32,0x3ebc5ab0,0xbf800001,4 +np.float32,0x3ebc5ab1,0xbf800000,4 +np.float32,0x3ebc5ab2,0xbf800000,4 +np.float32,0x3ebc5ab3,0xbf7ffffe,4 +np.float32,0x423ef575,0x407768ab,4 +np.float32,0x427b8c61,0x408485dd,4 +np.float32,0x4211e9ee,0x406630b0,4 +np.float32,0x424d5c41,0x407c0fed,4 +np.float32,0x42be722a,0x4091cc91,4 +np.float32,0x42b73d30,0x4090908b,4 +np.float32,0x427e48e2,0x4084de7f,4 +np.float32,0x428f759b,0x4088bba3,4 +np.float32,0x41629069,0x4029a0cc,4 +np.float32,0x4272c99d,0x40836379,4 +np.float32,0x4d1b7458,0x4197463d,4 +np.float32,0x4f10c594,0x41ace2b2,4 +np.float32,0x4ea397c2,0x41a85171,4 +np.float32,0x4fefa9d1,0x41b6769c,4 +np.float32,0x4ebac6ab,0x41a960dc,4 +np.float32,0x4f6efb42,0x41b0e535,4 +np.float32,0x4e9ab8e7,0x41a7df44,4 +np.float32,0x4e81b5d1,0x41a67625,4 +np.float32,0x5014d9f2,0x41b832bd,4 +np.float32,0x4f02175c,0x41ac07b8,4 +np.float32,0x7f034f89,0x42b01c47,4 +np.float32,0x7f56d00e,0x42b11849,4 +np.float32,0x7f1cd5f6,0x42b0773a,4 +np.float32,0x7e979174,0x42af02d7,4 +np.float32,0x7f23369f,0x42b08ba2,4 +np.float32,0x7f0637ae,0x42b0277d,4 +np.float32,0x7efcb6e8,0x42b00897,4 +np.float32,0x7f7907c8,0x42b163f6,4 +np.float32,0x7e95c4c2,0x42aefcba,4 +np.float32,0x7f4577b2,0x42b0ed2d,4 +np.float32,0x3f49c92e,0xbe73ae84,4 +np.float32,0x3f4a23d1,0xbe71e2f8,4 +np.float32,0x3f4abb67,0xbe6ee430,4 +np.float32,0x3f48169a,0xbe7c5532,4 +np.float32,0x3f47f5fa,0xbe7cfc37,4 +np.float32,0x3f488309,0xbe7a2ad8,4 +np.float32,0x3f479df4,0xbe7ebf5f,4 +np.float32,0x3f47cfff,0xbe7dbec9,4 +np.float32,0x3f496704,0xbe75a125,4 +np.float32,0x3f478ee8,0xbe7f0c92,4 +np.float32,0x3f4a763b,0xbe7041ce,4 +np.float32,0x3f47a108,0xbe7eaf94,4 +np.float32,0x3f48136c,0xbe7c6578,4 +np.float32,0x3f481c17,0xbe7c391c,4 +np.float32,0x3f47cd28,0xbe7dcd56,4 +np.float32,0x3f478be8,0xbe7f1bf7,4 +np.float32,0x3f4c1f8e,0xbe67e367,4 +np.float32,0x3f489b0c,0xbe79b03f,4 +np.float32,0x3f4934cf,0xbe76a08a,4 +np.float32,0x3f4954df,0xbe75fd6a,4 +np.float32,0x3f47a3f5,0xbe7ea093,4 +np.float32,0x3f4ba4fc,0xbe6a4b02,4 +np.float32,0x3f47a0e1,0xbe7eb05c,4 +np.float32,0x3f48c30a,0xbe78e42f,4 +np.float32,0x3f48cab8,0xbe78bd05,4 +np.float32,0x3f4b0569,0xbe6d6ea4,4 +np.float32,0x3f47de32,0xbe7d7607,4 +np.float32,0x3f477328,0xbe7f9b00,4 +np.float32,0x3f496dab,0xbe757f52,4 +np.float32,0x3f47662c,0xbe7fddac,4 +np.float32,0x3f48ddd8,0xbe785b80,4 +np.float32,0x3f481866,0xbe7c4bff,4 +np.float32,0x3f48b119,0xbe793fb6,4 +np.float32,0x3f48c7e8,0xbe78cb5c,4 +np.float32,0x3f4985f6,0xbe7503da,4 +np.float32,0x3f483fdf,0xbe7b8212,4 +np.float32,0x3f4b1c76,0xbe6cfa67,4 +np.float32,0x3f480b2e,0xbe7c8fa8,4 +np.float32,0x3f48745f,0xbe7a75bf,4 +np.float32,0x3f485bda,0xbe7af308,4 +np.float32,0x3f47a660,0xbe7e942c,4 +np.float32,0x3f47d4d5,0xbe7da600,4 +np.float32,0x3f4b0a26,0xbe6d56be,4 +np.float32,0x3f4a4883,0xbe712924,4 +np.float32,0x3f4769e7,0xbe7fca84,4 +np.float32,0x3f499702,0xbe74ad3f,4 +np.float32,0x3f494ab1,0xbe763131,4 +np.float32,0x3f476b69,0xbe7fc2c6,4 +np.float32,0x3f4884e8,0xbe7a214a,4 +np.float32,0x3f486945,0xbe7aae76,4 +#float64 +## +ve denormal ## +np.float64,0x0000000000000001,0xc0874385446d71c3,1 +np.float64,0x0001000000000000,0xc086395a2079b70c,1 +np.float64,0x000fffffffffffff,0xc086232bdd7abcd2,1 +np.float64,0x0007ad63e2168cb6,0xc086290bc0b2980f,1 +## -ve denormal ## +np.float64,0x8000000000000001,0xfff8000000000001,1 +np.float64,0x8001000000000000,0xfff8000000000001,1 +np.float64,0x800fffffffffffff,0xfff8000000000001,1 +np.float64,0x8007ad63e2168cb6,0xfff8000000000001,1 +## +/-0.0f, MAX, MIN## +np.float64,0x0000000000000000,0xfff0000000000000,1 +np.float64,0x8000000000000000,0xfff0000000000000,1 +np.float64,0x7fefffffffffffff,0x40862e42fefa39ef,1 +np.float64,0xffefffffffffffff,0xfff8000000000001,1 +## near 1.0f ## +np.float64,0x3ff0000000000000,0x0000000000000000,1 +np.float64,0x3fe8000000000000,0xbfd269621134db92,1 +np.float64,0x3ff0000000000001,0x3cafffffffffffff,1 +np.float64,0x3ff0000020000000,0x3e7fffffe000002b,1 +np.float64,0x3ff0000000000001,0x3cafffffffffffff,1 +np.float64,0x3fefffffe0000000,0xbe70000008000005,1 +np.float64,0x3fefffffffffffff,0xbca0000000000000,1 +## random numbers ## +np.float64,0x02500186f3d9da56,0xc0855b8abf135773,1 +np.float64,0x09200815a3951173,0xc082ff1ad7131bdc,1 +np.float64,0x0da029623b0243d4,0xc0816fc994695bb5,1 +np.float64,0x48703b8ac483a382,0x40579213a313490b,1 +np.float64,0x09207b74c87c9860,0xc082fee20ff349ef,1 +np.float64,0x62c077698e8df947,0x407821c996d110f0,1 +np.float64,0x2350b45e87c3cfb0,0xc073d6b16b51d072,1 +np.float64,0x3990a23f9ff2b623,0xc051aa60eadd8c61,1 +np.float64,0x0d011386a116c348,0xc081a6cc7ea3b8fb,1 +np.float64,0x1fe0f0303ebe273a,0xc0763870b78a81ca,1 +np.float64,0x0cd1260121d387da,0xc081b7668d61a9d1,1 +np.float64,0x1e6135a8f581d422,0xc077425ac10f08c2,1 +np.float64,0x622168db5fe52d30,0x4077b3c669b9fadb,1 +np.float64,0x69f188e1ec6d1718,0x407d1e2f18c63889,1 +np.float64,0x3aa1bf1d9c4dd1a3,0xc04d682e24bde479,1 +np.float64,0x6c81c4011ce4f683,0x407ee5190e8a8e6a,1 +np.float64,0x2191fa55aa5a5095,0xc0750c0c318b5e2d,1 +np.float64,0x32a1f602a32bf360,0xc06270caa493fc17,1 +np.float64,0x16023c90ba93249b,0xc07d0f88e0801638,1 +np.float64,0x1c525fe6d71fa9ff,0xc078af49c66a5d63,1 +np.float64,0x1a927675815d65b7,0xc079e5bdd7fe376e,1 +np.float64,0x41227b8fe70da028,0x402aa0c9f9a84c71,1 +np.float64,0x4962bb6e853fe87d,0x405a34aa04c83747,1 +np.float64,0x23d2cda00b26b5a4,0xc0737c13a06d00ea,1 +np.float64,0x2d13083fd62987fa,0xc06a25055aeb474e,1 +np.float64,0x10e31e4c9b4579a1,0xc0804e181929418e,1 +np.float64,0x26d3247d556a86a9,0xc0716774171da7e8,1 +np.float64,0x6603379398d0d4ac,0x407a64f51f8a887b,1 +np.float64,0x02d38af17d9442ba,0xc0852d955ac9dd68,1 +np.float64,0x6a2382b4818dd967,0x407d4129d688e5d4,1 +np.float64,0x2ee3c403c79b3934,0xc067a091fefaf8b6,1 +np.float64,0x6493a699acdbf1a4,0x4079663c8602bfc5,1 +np.float64,0x1c8413c4f0de3100,0xc0788c99697059b6,1 +np.float64,0x4573f1ed350d9622,0x404e9bd1e4c08920,1 +np.float64,0x2f34265c9200b69c,0xc067310cfea4e986,1 +np.float64,0x19b43e65fa22029b,0xc07a7f8877de22d6,1 +np.float64,0x0af48ab7925ed6bc,0xc0825c4fbc0e5ade,1 +np.float64,0x4fa49699cad82542,0x4065c76d2a318235,1 +np.float64,0x7204a15e56ade492,0x40815bb87484dffb,1 +np.float64,0x4734aa08a230982d,0x40542a4bf7a361a9,1 +np.float64,0x1ae4ed296c2fd749,0xc079ac4921f20abb,1 +np.float64,0x472514ea4370289c,0x4053ff372bd8f18f,1 +np.float64,0x53a54b3f73820430,0x406b5411fc5f2e33,1 +np.float64,0x64754de5a15684fa,0x407951592e99a5ab,1 +np.float64,0x69358e279868a7c3,0x407c9c671a882c31,1 +np.float64,0x284579ec61215945,0xc0706688e55f0927,1 +np.float64,0x68b5c58806447adc,0x407c43d6f4eff760,1 +np.float64,0x1945a83f98b0e65d,0xc07acc15eeb032cc,1 +np.float64,0x0fc5eb98a16578bf,0xc080b0d02eddca0e,1 +np.float64,0x6a75e208f5784250,0x407d7a7383bf8f05,1 +np.float64,0x0fe63a029c47645d,0xc080a59ca1e98866,1 +np.float64,0x37963ac53f065510,0xc057236281f7bdb6,1 +np.float64,0x135661bb07067ff7,0xc07ee924930c21e4,1 +np.float64,0x4b4699469d458422,0x405f73843756e887,1 +np.float64,0x1a66d73e4bf4881b,0xc07a039ba1c63adf,1 +np.float64,0x12a6b9b119a7da59,0xc07f62e49c6431f3,1 +np.float64,0x24c719aa8fd1bdb5,0xc072d26da4bf84d3,1 +np.float64,0x0fa6ff524ffef314,0xc080bb8514662e77,1 +np.float64,0x1db751d66fdd4a9a,0xc077b77cb50d7c92,1 +np.float64,0x4947374c516da82c,0x4059e9acfc7105bf,1 +np.float64,0x1b1771ab98f3afc8,0xc07989326b8e1f66,1 +np.float64,0x25e78805baac8070,0xc0720a818e6ef080,1 +np.float64,0x4bd7a148225d3687,0x406082d004ea3ee7,1 +np.float64,0x53d7d6b2bbbda00a,0x406b9a398967cbd5,1 +np.float64,0x6997fb9f4e1c685f,0x407ce0a703413eba,1 +np.float64,0x069802c2ff71b951,0xc083df39bf7acddc,1 +np.float64,0x4d683ac9890f66d8,0x4062ae21d8c2acf0,1 +np.float64,0x5a2825863ec14f4c,0x40722d718d549552,1 +np.float64,0x0398799a88f4db80,0xc084e93dab8e2158,1 +np.float64,0x5ed87a8b77e135a5,0x40756d7051777b33,1 +np.float64,0x5828cd6d79b9bede,0x4070cafb22fc6ca1,1 +np.float64,0x7b18ba2a5ec6f068,0x408481386b3ed6fe,1 +np.float64,0x4938fd60922198fe,0x4059c206b762ea7e,1 +np.float64,0x31b8f44fcdd1a46e,0xc063b2faa8b6434e,1 +np.float64,0x5729341c0d918464,0x407019cac0c4a7d7,1 +np.float64,0x13595e9228ee878e,0xc07ee7235a7d8088,1 +np.float64,0x17698b0dc9dd4135,0xc07c1627e3a5ad5f,1 +np.float64,0x63b977c283abb0cc,0x4078cf1ec6ed65be,1 +np.float64,0x7349cc0d4dc16943,0x4081cc697ce4cb53,1 +np.float64,0x4e49a80b732fb28d,0x4063e67e3c5cbe90,1 +np.float64,0x07ba14b848a8ae02,0xc0837ac032a094e0,1 +np.float64,0x3da9f17b691bfddc,0xc03929c25366acda,1 +np.float64,0x02ea39aa6c3ac007,0xc08525af6f21e1c4,1 +np.float64,0x3a6a42f04ed9563d,0xc04e98e825dca46b,1 +np.float64,0x1afa877cd7900be7,0xc0799d6648cb34a9,1 +np.float64,0x58ea986649e052c6,0x4071512e939ad790,1 +np.float64,0x691abbc04647f536,0x407c89aaae0fcb83,1 +np.float64,0x43aabc5063e6f284,0x4044b45d18106fd2,1 +np.float64,0x488b003c893e0bea,0x4057df012a2dafbe,1 +np.float64,0x77eb076ed67caee5,0x40836720de94769e,1 +np.float64,0x5c1b46974aba46f4,0x40738731ba256007,1 +np.float64,0x1a5b29ecb5d3c261,0xc07a0becc77040d6,1 +np.float64,0x5d8b6ccf868c6032,0x4074865c1865e2db,1 +np.float64,0x4cfb6690b4aaf5af,0x406216cd8c7e8ddb,1 +np.float64,0x76cbd8eb5c5fc39e,0x4083038dc66d682b,1 +np.float64,0x28bbd1fec5012814,0xc07014c2dd1b9711,1 +np.float64,0x33dc1b3a4fd6bf7a,0xc060bd0756e07d8a,1 +np.float64,0x52bbe89b37de99f3,0x406a10041aa7d343,1 +np.float64,0x07bc479d15eb2dd3,0xc0837a1a6e3a3b61,1 +np.float64,0x18fc5275711a901d,0xc07aff3e9d62bc93,1 +np.float64,0x114c9758e247dc71,0xc080299a7cf15b05,1 +np.float64,0x25ac8f6d60755148,0xc07233c4c0c511d4,1 +np.float64,0x260cae2bb9e9fd7e,0xc071f128c7e82eac,1 +np.float64,0x572ccdfe0241de82,0x40701bedc84bb504,1 +np.float64,0x0ddcef6c8d41f5ee,0xc0815a7e16d07084,1 +np.float64,0x6dad1d59c988af68,0x407fb4a0bc0142b1,1 +np.float64,0x025d200580d8b6d1,0xc08556c0bc32b1b2,1 +np.float64,0x7aad344b6aa74c18,0x40845bbc453f22be,1 +np.float64,0x5b5d9d6ad9d14429,0x4073036d2d21f382,1 +np.float64,0x49cd8d8dcdf19954,0x405b5c034f5c7353,1 +np.float64,0x63edb9483335c1e6,0x4078f2dd21378786,1 +np.float64,0x7b1dd64c9d2c26bd,0x408482b922017bc9,1 +np.float64,0x782e13e0b574be5f,0x40837e2a0090a5ad,1 +np.float64,0x592dfe18b9d6db2f,0x40717f777fbcb1ec,1 +np.float64,0x654e3232ac60d72c,0x4079e71a95a70446,1 +np.float64,0x7b8e42ad22091456,0x4084a9a6f1e61722,1 +np.float64,0x570e88dfd5860ae6,0x407006ae6c0d137a,1 +np.float64,0x294e98346cb98ef1,0xc06f5edaac12bd44,1 +np.float64,0x1adeaa4ab792e642,0xc079b1431d5e2633,1 +np.float64,0x7b6ead3377529ac8,0x40849eabc8c7683c,1 +np.float64,0x2b8eedae8a9b2928,0xc06c400054deef11,1 +np.float64,0x65defb45b2dcf660,0x407a4b53f181c05a,1 +np.float64,0x1baf582d475e7701,0xc07920bcad4a502c,1 +np.float64,0x461f39cf05a0f15a,0x405126368f984fa1,1 +np.float64,0x7e5f6f5dcfff005b,0x4085a37d610439b4,1 +np.float64,0x136f66e4d09bd662,0xc07ed8a2719f2511,1 +np.float64,0x65afd8983fb6ca1f,0x407a2a7f48bf7fc1,1 +np.float64,0x572fa7f95ed22319,0x40701d706cf82e6f,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log10.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log10.csv new file mode 100644 index 0000000000000000000000000000000000000000..c7657773e00f4599180ed9fe9dca413ee7b98ea9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log10.csv @@ -0,0 +1,1629 @@ +dtype,input,output,ulperrortol +np.float32,0x3f6fd5c8,0xbce80e8e,4 +np.float32,0x3ea4ab17,0xbefc3deb,4 +np.float32,0x3e87a133,0xbf13b0b7,4 +np.float32,0x3f0d9069,0xbe83bb19,4 +np.float32,0x3f7b9269,0xbbf84f47,4 +np.float32,0x3f7a9ffa,0xbc16fd97,4 +np.float32,0x7f535d34,0x4219cb66,4 +np.float32,0x3e79ad7c,0xbf1ce857,4 +np.float32,0x7e8bfd3b,0x4217dfe9,4 +np.float32,0x3f2d2ee9,0xbe2dcec6,4 +np.float32,0x572e04,0xc21862e4,4 +np.float32,0x7f36f8,0xc217bad5,4 +np.float32,0x3f7982fb,0xbc36aaed,4 +np.float32,0x45b019,0xc218c67c,4 +np.float32,0x3f521c46,0xbdafb3e3,4 +np.float32,0x80000001,0x7fc00000,4 +np.float32,0x3f336c81,0xbe1e107f,4 +np.float32,0x3eac92d7,0xbef1d0bb,4 +np.float32,0x47bdfc,0xc218b990,4 +np.float32,0x7f2d94c8,0x421973d1,4 +np.float32,0x7d53ff8d,0x4214fbb6,4 +np.float32,0x3f581e4e,0xbd96a079,4 +np.float32,0x7ddaf20d,0x42163e4e,4 +np.float32,0x3f341d3c,0xbe1c5b4c,4 +np.float32,0x7ef04ba9,0x4218d032,4 +np.float32,0x620ed2,0xc2182e99,4 +np.float32,0x507850,0xc2188682,4 +np.float32,0x7d08f9,0xc217c284,4 +np.float32,0x7f0cf2aa,0x42191734,4 +np.float32,0x3f109a17,0xbe7e04fe,4 +np.float32,0x7f426152,0x4219a625,4 +np.float32,0x7f32d5a3,0x42198113,4 +np.float32,0x2e14b2,0xc2197e6f,4 +np.float32,0x3a5acd,0xc219156a,4 +np.float32,0x50a565,0xc2188589,4 +np.float32,0x5b751c,0xc2184d97,4 +np.float32,0x7e4149f6,0x42173b22,4 +np.float32,0x3dc34bf9,0xbf82a42a,4 +np.float32,0x3d12bc28,0xbfb910d6,4 +np.float32,0x7ebd2584,0x421865c1,4 +np.float32,0x7f6b3375,0x4219faeb,4 +np.float32,0x7fa00000,0x7fe00000,4 +np.float32,0x3f35fe7d,0xbe17bd33,4 +np.float32,0x7db45c87,0x4215e818,4 +np.float32,0x3efff366,0xbe9a2b8d,4 +np.float32,0x3eb331d0,0xbee971a3,4 +np.float32,0x3f259d5f,0xbe41ae2e,4 +np.float32,0x3eab85ec,0xbef32c4a,4 +np.float32,0x7f194b8a,0x42193c8c,4 +np.float32,0x3f11a614,0xbe7acfc7,4 +np.float32,0x5b17,0xc221f16b,4 +np.float32,0x3f33dadc,0xbe1cff4d,4 +np.float32,0x3cda1506,0xbfc9920f,4 +np.float32,0x3f6856f1,0xbd2c8290,4 +np.float32,0x7f3357fb,0x42198257,4 +np.float32,0x7f56f329,0x4219d2e1,4 +np.float32,0x3ef84108,0xbea0f595,4 +np.float32,0x3f72340f,0xbcc51916,4 +np.float32,0x3daf28,0xc218fcbd,4 +np.float32,0x131035,0xc21b06f4,4 +np.float32,0x3f275c3b,0xbe3d0487,4 +np.float32,0x3ef06130,0xbea82069,4 +np.float32,0x3f57f3b0,0xbd974fef,4 +np.float32,0x7f6c4a78,0x4219fcfa,4 +np.float32,0x7e8421d0,0x4217c639,4 +np.float32,0x3f17a479,0xbe68e08e,4 +np.float32,0x7f03774e,0x4218f83b,4 +np.float32,0x441a33,0xc218d0b8,4 +np.float32,0x539158,0xc21875b6,4 +np.float32,0x3e8fcc75,0xbf0d3018,4 +np.float32,0x7ef74130,0x4218dce4,4 +np.float32,0x3ea6f4fa,0xbef92c38,4 +np.float32,0x7f3948ab,0x421990d5,4 +np.float32,0x7db6f8f5,0x4215ee7c,4 +np.float32,0x3ee44a2f,0xbeb399e5,4 +np.float32,0x156c59,0xc21ad30d,4 +np.float32,0x3f21ee53,0xbe4baf16,4 +np.float32,0x3f2c08f4,0xbe30c424,4 +np.float32,0x3f49885c,0xbdd4c6a9,4 +np.float32,0x3eae0b9c,0xbeefed54,4 +np.float32,0x1b5c1f,0xc21a6646,4 +np.float32,0x3e7330e2,0xbf1fd592,4 +np.float32,0x3ebbeb4c,0xbededf82,4 +np.float32,0x427154,0xc218dbb1,4 +np.float32,0x3f6b8b4b,0xbd142498,4 +np.float32,0x8e769,0xc21c5981,4 +np.float32,0x3e9db557,0xbf02ec1c,4 +np.float32,0x3f001bef,0xbe99f019,4 +np.float32,0x3e58b48c,0xbf2ca77a,4 +np.float32,0x3d46c16b,0xbfa8327c,4 +np.float32,0x7eeeb305,0x4218cd3b,4 +np.float32,0x3e3f163d,0xbf3aa446,4 +np.float32,0x3f66c872,0xbd3877d9,4 +np.float32,0x7f7162f8,0x421a0677,4 +np.float32,0x3edca3bc,0xbebb2e28,4 +np.float32,0x3dc1055b,0xbf834afa,4 +np.float32,0x12b16f,0xc21b0fad,4 +np.float32,0x3f733898,0xbcb62e16,4 +np.float32,0x3e617af8,0xbf283db0,4 +np.float32,0x7e86577a,0x4217cd99,4 +np.float32,0x3f0ba3c7,0xbe86c633,4 +np.float32,0x3f4cad25,0xbdc70247,4 +np.float32,0xb6cdf,0xc21bea9f,4 +np.float32,0x3f42971a,0xbdf3f49e,4 +np.float32,0x3e6ccad2,0xbf22cc78,4 +np.float32,0x7f2121b2,0x421952b8,4 +np.float32,0x3f6d3f55,0xbd075366,4 +np.float32,0x3f524f,0xc218f117,4 +np.float32,0x3e95b5d9,0xbf08b56a,4 +np.float32,0x7f6ae47d,0x4219fa56,4 +np.float32,0x267539,0xc219ceda,4 +np.float32,0x3ef72f6d,0xbea1eb2e,4 +np.float32,0x2100b2,0xc21a12e2,4 +np.float32,0x3d9777d1,0xbf90c4e7,4 +np.float32,0x44c6f5,0xc218cc56,4 +np.float32,0x7f2a613d,0x42196b8a,4 +np.float32,0x390a25,0xc2191f8d,4 +np.float32,0x3f1de5ad,0xbe56e703,4 +np.float32,0x2f59ce,0xc2197258,4 +np.float32,0x7f3b12a1,0x4219951b,4 +np.float32,0x3ecb66d4,0xbecd44ca,4 +np.float32,0x7e74ff,0xc217bd7d,4 +np.float32,0x7ed83f78,0x4218a14d,4 +np.float32,0x685994,0xc21812f1,4 +np.float32,0xbf800000,0x7fc00000,4 +np.float32,0x736f47,0xc217e60b,4 +np.float32,0x7f09c371,0x42190d0a,4 +np.float32,0x3f7ca51d,0xbbbbbce0,4 +np.float32,0x7f4b4d3b,0x4219ba1a,4 +np.float32,0x3f6c4471,0xbd0eb076,4 +np.float32,0xd944e,0xc21b9dcf,4 +np.float32,0x7cb06ffc,0x421375cd,4 +np.float32,0x586187,0xc2185cce,4 +np.float32,0x3f3cbf5b,0xbe078911,4 +np.float32,0x3f30b504,0xbe24d983,4 +np.float32,0x3f0a16ba,0xbe8941fd,4 +np.float32,0x5c43b0,0xc21849af,4 +np.float32,0x3dad74f6,0xbf893bd5,4 +np.float32,0x3c586958,0xbff087a6,4 +np.float32,0x3e8307a8,0xbf1786ba,4 +np.float32,0x7dcd1776,0x4216213d,4 +np.float32,0x3f44d107,0xbde9d662,4 +np.float32,0x3e2e6823,0xbf44cbec,4 +np.float32,0x3d87ea27,0xbf96caca,4 +np.float32,0x3e0c715b,0xbf5ce07e,4 +np.float32,0x7ec9cd5a,0x4218828e,4 +np.float32,0x3e26c0b4,0xbf49c93e,4 +np.float32,0x75b94e,0xc217dd50,4 +np.float32,0x3df7b9f5,0xbf6ad7f4,4 +np.float32,0x0,0xff800000,4 +np.float32,0x3f284795,0xbe3a94da,4 +np.float32,0x7ee49092,0x4218b9f0,4 +np.float32,0x7f4c20e0,0x4219bbe8,4 +np.float32,0x3efbbce8,0xbe9ddc4b,4 +np.float32,0x12274a,0xc21b1cb4,4 +np.float32,0x5fa1b1,0xc21839be,4 +np.float32,0x7f0b210e,0x4219116d,4 +np.float32,0x3f67092a,0xbd368545,4 +np.float32,0x3d572721,0xbfa3ca5b,4 +np.float32,0x3f7913ce,0xbc431028,4 +np.float32,0x3b0613,0xc2191059,4 +np.float32,0x3e1d16c0,0xbf506c6f,4 +np.float32,0xab130,0xc21c081d,4 +np.float32,0x3e23ac97,0xbf4bdb9d,4 +np.float32,0x7ef52368,0x4218d911,4 +np.float32,0x7f38e686,0x42198fe9,4 +np.float32,0x3f106a21,0xbe7e9897,4 +np.float32,0x3ecef8d5,0xbec96644,4 +np.float32,0x3ec37e02,0xbed61683,4 +np.float32,0x3efbd063,0xbe9dcb17,4 +np.float32,0x3f318fe3,0xbe22b402,4 +np.float32,0x7e5e5228,0x4217795d,4 +np.float32,0x72a046,0xc217e92c,4 +np.float32,0x7f6f970b,0x421a0324,4 +np.float32,0x3ed871b4,0xbebf72fb,4 +np.float32,0x7a2eaa,0xc217ccc8,4 +np.float32,0x3e819655,0xbf18c1d7,4 +np.float32,0x80800000,0x7fc00000,4 +np.float32,0x7eab0719,0x421838f9,4 +np.float32,0x7f0763cb,0x4219054f,4 +np.float32,0x3f191672,0xbe64a8af,4 +np.float32,0x7d4327,0xc217c1b6,4 +np.float32,0x3f724ba6,0xbcc3bea3,4 +np.float32,0x60fe06,0xc2183375,4 +np.float32,0x48cd59,0xc218b30b,4 +np.float32,0x3f7fec2b,0xb909d3f3,4 +np.float32,0x1c7bb9,0xc21a5460,4 +np.float32,0x24d8a8,0xc219e1e4,4 +np.float32,0x3e727c52,0xbf20283c,4 +np.float32,0x4bc460,0xc218a14a,4 +np.float32,0x63e313,0xc2182661,4 +np.float32,0x7f625581,0x4219e9d4,4 +np.float32,0x3eeb3e77,0xbeacedc0,4 +np.float32,0x7ef27a47,0x4218d437,4 +np.float32,0x27105a,0xc219c7e6,4 +np.float32,0x22a10b,0xc219fd7d,4 +np.float32,0x3f41e907,0xbdf711ab,4 +np.float32,0x7c1fbf95,0x4212155b,4 +np.float32,0x7e5acceb,0x42177244,4 +np.float32,0x3e0892fa,0xbf5ffb83,4 +np.float32,0x3ea0e51d,0xbf00b2c0,4 +np.float32,0x3e56fc29,0xbf2d8a51,4 +np.float32,0x7ee724ed,0x4218beed,4 +np.float32,0x7ebf142b,0x42186a46,4 +np.float32,0x7f6cf35c,0x4219fe37,4 +np.float32,0x3f11abf7,0xbe7abdcd,4 +np.float32,0x588d7a,0xc2185bf1,4 +np.float32,0x3f6e81d2,0xbcfbcf97,4 +np.float32,0x3f1b6be8,0xbe5dee2b,4 +np.float32,0x7f3815e0,0x42198df2,4 +np.float32,0x3f5bfc88,0xbd86d93d,4 +np.float32,0x3f3775d0,0xbe142bbc,4 +np.float32,0x78a958,0xc217d25a,4 +np.float32,0x2ff7c3,0xc2196c96,4 +np.float32,0x4b9c0,0xc21d733c,4 +np.float32,0x3ec025af,0xbed9ecf3,4 +np.float32,0x6443f0,0xc21824b3,4 +np.float32,0x3f754e28,0xbc97d299,4 +np.float32,0x3eaa91d3,0xbef4699d,4 +np.float32,0x3e5f2837,0xbf296478,4 +np.float32,0xe5676,0xc21b85a4,4 +np.float32,0x3f6859f2,0xbd2c6b90,4 +np.float32,0x3f68686b,0xbd2bfcc6,4 +np.float32,0x4b39b8,0xc218a47b,4 +np.float32,0x630ac4,0xc2182a28,4 +np.float32,0x160980,0xc21ac67d,4 +np.float32,0x3ed91c4d,0xbebec3fd,4 +np.float32,0x7ec27b0d,0x4218721f,4 +np.float32,0x3f3c0a5f,0xbe09344b,4 +np.float32,0x3dbff9c1,0xbf839841,4 +np.float32,0x7f0e8ea7,0x42191c40,4 +np.float32,0x3f36b162,0xbe1608e4,4 +np.float32,0x228bb3,0xc219fe90,4 +np.float32,0x2fdd30,0xc2196d8c,4 +np.float32,0x3e8fce8e,0xbf0d2e79,4 +np.float32,0x3f36acc7,0xbe16141a,4 +np.float32,0x7f44b51c,0x4219ab70,4 +np.float32,0x3ec3371c,0xbed66736,4 +np.float32,0x4388a2,0xc218d473,4 +np.float32,0x3f5aa6c3,0xbd8c4344,4 +np.float32,0x7f09fce4,0x42190dc3,4 +np.float32,0x7ed7854a,0x42189fce,4 +np.float32,0x7f4da83a,0x4219bf3a,4 +np.float32,0x3db8da28,0xbf85b25a,4 +np.float32,0x7f449686,0x4219ab2b,4 +np.float32,0x2eb25,0xc21e498c,4 +np.float32,0x3f2bcc08,0xbe3161bd,4 +np.float32,0x36c923,0xc219317b,4 +np.float32,0x3d52a866,0xbfa4f6d2,4 +np.float32,0x3f7d6688,0xbb913e4e,4 +np.float32,0x3f5a6ba4,0xbd8d33e3,4 +np.float32,0x719740,0xc217ed35,4 +np.float32,0x78a472,0xc217d26c,4 +np.float32,0x7ee33d0c,0x4218b759,4 +np.float32,0x7f668c1d,0x4219f208,4 +np.float32,0x3e29c600,0xbf47ca46,4 +np.float32,0x3f3cefc3,0xbe071712,4 +np.float32,0x3e224ebd,0xbf4cca41,4 +np.float32,0x7f1417be,0x42192d31,4 +np.float32,0x7f29d7d5,0x42196a23,4 +np.float32,0x3338ce,0xc2194f65,4 +np.float32,0x2a7897,0xc219a2b6,4 +np.float32,0x3d6bc3d8,0xbf9eb468,4 +np.float32,0x3f6bd7bf,0xbd11e392,4 +np.float32,0x7f6d26bf,0x4219fe98,4 +np.float32,0x3f52d378,0xbdacadb5,4 +np.float32,0x3efac453,0xbe9eb84a,4 +np.float32,0x3f692eb7,0xbd261184,4 +np.float32,0x3f6a0bb5,0xbd1f7ec1,4 +np.float32,0x3f037a49,0xbe942aa8,4 +np.float32,0x3f465bd4,0xbde2e530,4 +np.float32,0x7ef0f47b,0x4218d16a,4 +np.float32,0x637127,0xc218285e,4 +np.float32,0x3f41e511,0xbdf723d7,4 +np.float32,0x7f800000,0x7f800000,4 +np.float32,0x3f3342d5,0xbe1e77d5,4 +np.float32,0x7f57cfe6,0x4219d4a9,4 +np.float32,0x3e4358ed,0xbf3830a7,4 +np.float32,0x3ce25f15,0xbfc77f2b,4 +np.float32,0x7ed057e7,0x421890be,4 +np.float32,0x7ce154d9,0x4213e295,4 +np.float32,0x3ee91984,0xbeaef703,4 +np.float32,0x7e4e919c,0x421758af,4 +np.float32,0x6830e7,0xc218139e,4 +np.float32,0x3f12f08e,0xbe76e328,4 +np.float32,0x7f0a7a32,0x42190f56,4 +np.float32,0x7f38e,0xc21c8bd3,4 +np.float32,0x3e01def9,0xbf6593e3,4 +np.float32,0x3f5c8c6d,0xbd849432,4 +np.float32,0x3eed8747,0xbeaac7a3,4 +np.float32,0x3cadaa0e,0xbfd63b21,4 +np.float32,0x3f7532a9,0xbc996178,4 +np.float32,0x31f3ac,0xc2195a8f,4 +np.float32,0x3f0e0f97,0xbe82f3af,4 +np.float32,0x3f2a1f35,0xbe35bd3f,4 +np.float32,0x3f4547b2,0xbde7bebd,4 +np.float32,0x3f7988a6,0xbc36094c,4 +np.float32,0x74464c,0xc217e2d2,4 +np.float32,0x7f7518be,0x421a0d3f,4 +np.float32,0x7e97fa0a,0x42180473,4 +np.float32,0x584e3a,0xc2185d2f,4 +np.float32,0x3e7291f3,0xbf201e52,4 +np.float32,0xc0a05,0xc21bd359,4 +np.float32,0x3a3177,0xc21916a6,4 +np.float32,0x4f417f,0xc2188d45,4 +np.float32,0x263fce,0xc219d145,4 +np.float32,0x7e1d58,0xc217beb1,4 +np.float32,0x7f056af3,0x4218fec9,4 +np.float32,0x3f21c181,0xbe4c2a3f,4 +np.float32,0x7eca4956,0x4218839f,4 +np.float32,0x3e58afa8,0xbf2ca9fd,4 +np.float32,0x3f40d583,0xbdfc04ef,4 +np.float32,0x7f432fbb,0x4219a7fc,4 +np.float32,0x43aaa4,0xc218d393,4 +np.float32,0x7f2c9b62,0x42197150,4 +np.float32,0x5c3876,0xc21849e5,4 +np.float32,0x7f2034e8,0x42195029,4 +np.float32,0x7e5be772,0x42177481,4 +np.float32,0x80000000,0xff800000,4 +np.float32,0x3f5be03b,0xbd874bb0,4 +np.float32,0x3e32494f,0xbf4259be,4 +np.float32,0x3e1f4671,0xbf4ee30b,4 +np.float32,0x4606cc,0xc218c454,4 +np.float32,0x425cbc,0xc218dc3b,4 +np.float32,0x7dd9b8bf,0x42163bd0,4 +np.float32,0x3f0465d0,0xbe929db7,4 +np.float32,0x3f735077,0xbcb4d0fa,4 +np.float32,0x4d6a43,0xc21897b8,4 +np.float32,0x3e27d600,0xbf4910f5,4 +np.float32,0x3f06e0cc,0xbe8e7d24,4 +np.float32,0x3f3fd064,0xbe005e45,4 +np.float32,0x176f1,0xc21f7c2d,4 +np.float32,0x3eb64e6f,0xbee59d9c,4 +np.float32,0x7f0f075d,0x42191db8,4 +np.float32,0x3f718cbe,0xbcceb621,4 +np.float32,0x3ead7bda,0xbef0a54a,4 +np.float32,0x7f77c1a8,0x421a120c,4 +np.float32,0x3f6a79c5,0xbd1c3afd,4 +np.float32,0x3e992d1f,0xbf062a02,4 +np.float32,0x3e6f6335,0xbf219639,4 +np.float32,0x7f6d9a3e,0x4219ff70,4 +np.float32,0x557ed1,0xc2186b91,4 +np.float32,0x3f13a456,0xbe74c457,4 +np.float32,0x15c2dc,0xc21acc17,4 +np.float32,0x71f36f,0xc217ebcc,4 +np.float32,0x748dea,0xc217e1c1,4 +np.float32,0x7f0f32e0,0x42191e3f,4 +np.float32,0x5b1da8,0xc2184f41,4 +np.float32,0x3d865d3a,0xbf976e11,4 +np.float32,0x3f800000,0x0,4 +np.float32,0x7f67b56d,0x4219f444,4 +np.float32,0x6266a1,0xc2182d0c,4 +np.float32,0x3ec9c5e4,0xbecf0e6b,4 +np.float32,0x6a6a0e,0xc2180a3b,4 +np.float32,0x7e9db6fd,0x421814ef,4 +np.float32,0x3e7458f7,0xbf1f4e88,4 +np.float32,0x3ead8016,0xbef09fdc,4 +np.float32,0x3e263d1c,0xbf4a211e,4 +np.float32,0x7f6b3329,0x4219faeb,4 +np.float32,0x800000,0xc217b818,4 +np.float32,0x3f0654c7,0xbe8f6471,4 +np.float32,0x3f281b71,0xbe3b0990,4 +np.float32,0x7c4c8e,0xc217c524,4 +np.float32,0x7d113a87,0x4214537d,4 +np.float32,0x734b5f,0xc217e696,4 +np.float32,0x7f079d05,0x4219060b,4 +np.float32,0x3ee830b1,0xbeafd58b,4 +np.float32,0x3f1c3b8b,0xbe5b9d96,4 +np.float32,0x3f2bf0c6,0xbe3102aa,4 +np.float32,0x7ddffe22,0x42164871,4 +np.float32,0x3f1e58b4,0xbe55a37f,4 +np.float32,0x5f3edf,0xc2183b8a,4 +np.float32,0x7f1fb6ec,0x42194eca,4 +np.float32,0x3f78718e,0xbc55311e,4 +np.float32,0x3e574b7d,0xbf2d6152,4 +np.float32,0x7eab27c6,0x4218394e,4 +np.float32,0x7f34603c,0x421984e5,4 +np.float32,0x3f3a8b57,0xbe0cc1ca,4 +np.float32,0x3f744181,0xbca7134e,4 +np.float32,0x3f7e3bc4,0xbb45156b,4 +np.float32,0x93ab4,0xc21c498b,4 +np.float32,0x7ed5541e,0x42189b42,4 +np.float32,0x6bf8ec,0xc21803c4,4 +np.float32,0x757395,0xc217de58,4 +np.float32,0x7f177214,0x42193726,4 +np.float32,0x59935f,0xc21856d6,4 +np.float32,0x2cd9ba,0xc2198a78,4 +np.float32,0x3ef6fd5c,0xbea2183c,4 +np.float32,0x3ebb6c63,0xbedf75e0,4 +np.float32,0x7f43272c,0x4219a7e9,4 +np.float32,0x7f42e67d,0x4219a755,4 +np.float32,0x3f3f744f,0xbe0133f6,4 +np.float32,0x7f5fddaa,0x4219e4f4,4 +np.float32,0x3dc9874f,0xbf80e529,4 +np.float32,0x3f2efe64,0xbe292ec8,4 +np.float32,0x3e0406a6,0xbf63bf7c,4 +np.float32,0x3cdbb0aa,0xbfc92984,4 +np.float32,0x3e6597e7,0xbf263b30,4 +np.float32,0x3f0c1153,0xbe861807,4 +np.float32,0x7fce16,0xc217b8c6,4 +np.float32,0x3f5f4e5f,0xbd730dc6,4 +np.float32,0x3ed41ffa,0xbec3ee69,4 +np.float32,0x3f216c78,0xbe4d1446,4 +np.float32,0x3f123ed7,0xbe78fe4b,4 +np.float32,0x7f7e0ca9,0x421a1d34,4 +np.float32,0x7e318af4,0x42171558,4 +np.float32,0x7f1e1659,0x42194a3d,4 +np.float32,0x34d12a,0xc21941c2,4 +np.float32,0x3d9566ad,0xbf918870,4 +np.float32,0x3e799a47,0xbf1cf0e5,4 +np.float32,0x3e89dd6f,0xbf11df76,4 +np.float32,0x32f0d3,0xc21951d8,4 +np.float32,0x7e89d17e,0x4217d8f6,4 +np.float32,0x1f3b38,0xc21a2b6b,4 +np.float32,0x7ee9e060,0x4218c427,4 +np.float32,0x31a673,0xc2195d41,4 +np.float32,0x5180f1,0xc21880d5,4 +np.float32,0x3cd36f,0xc21902f8,4 +np.float32,0x3bb63004,0xc01050cb,4 +np.float32,0x3e8ee9d1,0xbf0ddfde,4 +np.float32,0x3d2a7da3,0xbfb0b970,4 +np.float32,0x3ea58107,0xbefb1dc3,4 +np.float32,0x7f6760b0,0x4219f3a2,4 +np.float32,0x7f7f9e08,0x421a1ff0,4 +np.float32,0x37e7f1,0xc219287b,4 +np.float32,0x3ef7eb53,0xbea14267,4 +np.float32,0x3e2eb581,0xbf449aa5,4 +np.float32,0x3da7671c,0xbf8b3568,4 +np.float32,0x7af36f7b,0x420f33ee,4 +np.float32,0x3eb3602c,0xbee93823,4 +np.float32,0x3f68bcff,0xbd2975de,4 +np.float32,0x3ea7cefb,0xbef80a9d,4 +np.float32,0x3f329689,0xbe202414,4 +np.float32,0x7f0c7c80,0x421915be,4 +np.float32,0x7f4739b8,0x4219b118,4 +np.float32,0x73af58,0xc217e515,4 +np.float32,0x7f13eb2a,0x42192cab,4 +np.float32,0x30f2d9,0xc2196395,4 +np.float32,0x7ea7066c,0x42182e71,4 +np.float32,0x669fec,0xc2181a5b,4 +np.float32,0x3f7d6876,0xbb90d1ef,4 +np.float32,0x3f08a4ef,0xbe8b9897,4 +np.float32,0x7f2a906c,0x42196c05,4 +np.float32,0x3ed3ca42,0xbec44856,4 +np.float32,0x9d27,0xc220fee2,4 +np.float32,0x3e4508a1,0xbf373c03,4 +np.float32,0x3e41f8de,0xbf38f9bb,4 +np.float32,0x3e912714,0xbf0c255b,4 +np.float32,0xff800000,0x7fc00000,4 +np.float32,0x7eefd13d,0x4218cf4f,4 +np.float32,0x3f491674,0xbdd6bded,4 +np.float32,0x3ef49512,0xbea445c9,4 +np.float32,0x3f045b79,0xbe92af15,4 +np.float32,0x3ef6c412,0xbea24bd5,4 +np.float32,0x3e6f3c28,0xbf21a85d,4 +np.float32,0x3ef71839,0xbea2000e,4 +np.float32,0x1,0xc23369f4,4 +np.float32,0x3e3fcfe4,0xbf3a3876,4 +np.float32,0x3e9d7a65,0xbf0315b2,4 +np.float32,0x20b7c4,0xc21a16bd,4 +np.float32,0x7f707b10,0x421a04cb,4 +np.float32,0x7fc00000,0x7fc00000,4 +np.float32,0x3f285ebd,0xbe3a57ac,4 +np.float32,0x74c9ea,0xc217e0dc,4 +np.float32,0x3f6501f2,0xbd4634ab,4 +np.float32,0x3f248959,0xbe4495cc,4 +np.float32,0x7e915ff0,0x4217f0b3,4 +np.float32,0x7edbb910,0x4218a864,4 +np.float32,0x3f7042dd,0xbce1bddb,4 +np.float32,0x6f08c9,0xc217f754,4 +np.float32,0x7f423993,0x4219a5ca,4 +np.float32,0x3f125704,0xbe78b4cd,4 +np.float32,0x7ef7f5ae,0x4218de28,4 +np.float32,0x3f2dd940,0xbe2c1a33,4 +np.float32,0x3f1ca78e,0xbe5a6a8b,4 +np.float32,0x244863,0xc219e8be,4 +np.float32,0x3f2614fe,0xbe406d6b,4 +np.float32,0x3e75e7a3,0xbf1e99b5,4 +np.float32,0x2bdd6e,0xc2199459,4 +np.float32,0x7e49e279,0x42174e7b,4 +np.float32,0x3e3bb09a,0xbf3ca2cd,4 +np.float32,0x649f06,0xc2182320,4 +np.float32,0x7f4a44e1,0x4219b7d6,4 +np.float32,0x400473,0xc218ec3a,4 +np.float32,0x3edb19ad,0xbebcbcad,4 +np.float32,0x3d8ee956,0xbf94006c,4 +np.float32,0x7e91c603,0x4217f1eb,4 +np.float32,0x221384,0xc21a04a6,4 +np.float32,0x7f7dd660,0x421a1cd5,4 +np.float32,0x7ef34609,0x4218d5ac,4 +np.float32,0x7f5ed529,0x4219e2e5,4 +np.float32,0x7f1bf685,0x42194438,4 +np.float32,0x3cdd094a,0xbfc8d294,4 +np.float32,0x7e87fc8e,0x4217d303,4 +np.float32,0x7f53d971,0x4219cc6b,4 +np.float32,0xabc8b,0xc21c0646,4 +np.float32,0x7f5011e6,0x4219c46a,4 +np.float32,0x7e460638,0x421745e5,4 +np.float32,0xa8126,0xc21c0ffd,4 +np.float32,0x3eec2a66,0xbeac0f2d,4 +np.float32,0x3f3a1213,0xbe0de340,4 +np.float32,0x7f5908db,0x4219d72c,4 +np.float32,0x7e0ad3c5,0x4216a7f3,4 +np.float32,0x3f2de40e,0xbe2bfe90,4 +np.float32,0x3d0463c5,0xbfbec8e4,4 +np.float32,0x7c7cde0b,0x4212e19a,4 +np.float32,0x74c24f,0xc217e0f9,4 +np.float32,0x3f14b4cb,0xbe71929b,4 +np.float32,0x3e94e192,0xbf09537f,4 +np.float32,0x3eebde71,0xbeac56bd,4 +np.float32,0x3f65e413,0xbd3f5b8a,4 +np.float32,0x7e109199,0x4216b9f9,4 +np.float32,0x3f22f5d0,0xbe48ddc0,4 +np.float32,0x3e22d3bc,0xbf4c6f4d,4 +np.float32,0x3f7a812f,0xbc1a680b,4 +np.float32,0x3f67f361,0xbd2f7d7c,4 +np.float32,0x3f1caa63,0xbe5a6281,4 +np.float32,0x3f306fde,0xbe2587ab,4 +np.float32,0x3e8df9d3,0xbf0e9b2f,4 +np.float32,0x3eaaccc4,0xbef41cd4,4 +np.float32,0x7f3f65ec,0x42199f45,4 +np.float32,0x3dc706e0,0xbf8196ec,4 +np.float32,0x3e14eaba,0xbf565cf6,4 +np.float32,0xcc60,0xc2208a09,4 +np.float32,0x358447,0xc2193be7,4 +np.float32,0x3dcecade,0xbf7eec70,4 +np.float32,0x3f20b4f8,0xbe4f0ef0,4 +np.float32,0x7e7c979f,0x4217b222,4 +np.float32,0x7f2387b9,0x4219594a,4 +np.float32,0x3f6f6e5c,0xbcee0e05,4 +np.float32,0x7f19ad81,0x42193da8,4 +np.float32,0x5635e1,0xc21867dd,4 +np.float32,0x4c5e97,0xc2189dc4,4 +np.float32,0x7f35f97f,0x421988d1,4 +np.float32,0x7f685224,0x4219f571,4 +np.float32,0x3eca0616,0xbecec7b8,4 +np.float32,0x3f436d0d,0xbdf024ca,4 +np.float32,0x12a97d,0xc21b106a,4 +np.float32,0x7f0fdc93,0x4219204d,4 +np.float32,0x3debfb42,0xbf703e65,4 +np.float32,0x3c6c54d2,0xbfeba291,4 +np.float32,0x7e5d7491,0x421777a1,4 +np.float32,0x3f4bd2f0,0xbdcab87d,4 +np.float32,0x3f7517f4,0xbc9ae510,4 +np.float32,0x3f71a59a,0xbccd480d,4 +np.float32,0x3f514653,0xbdb33f61,4 +np.float32,0x3f4e6ea4,0xbdbf694b,4 +np.float32,0x3eadadec,0xbef06526,4 +np.float32,0x3f3b41c1,0xbe0b0fbf,4 +np.float32,0xc35a,0xc2209e1e,4 +np.float32,0x384982,0xc2192575,4 +np.float32,0x3464c3,0xc2194556,4 +np.float32,0x7f5e20d9,0x4219e17d,4 +np.float32,0x3ea18b62,0xbf004016,4 +np.float32,0x63a02b,0xc218278c,4 +np.float32,0x7ef547ba,0x4218d953,4 +np.float32,0x3f2496fb,0xbe4470f4,4 +np.float32,0x7ea0c8c6,0x42181d81,4 +np.float32,0x3f42ba60,0xbdf35372,4 +np.float32,0x7e40d9,0xc217be34,4 +np.float32,0x3e95883b,0xbf08d750,4 +np.float32,0x3e0cddf3,0xbf5c8aa8,4 +np.float32,0x3f2305d5,0xbe48b20a,4 +np.float32,0x7f0d0941,0x4219177b,4 +np.float32,0x3f7b98d3,0xbbf6e477,4 +np.float32,0x3f687cdc,0xbd2b6057,4 +np.float32,0x3f42ce91,0xbdf2f73d,4 +np.float32,0x3ee00fc0,0xbeb7c217,4 +np.float32,0x7f3d483a,0x42199a53,4 +np.float32,0x3e1e08eb,0xbf4fc18d,4 +np.float32,0x7e202ff5,0x4216e798,4 +np.float32,0x582898,0xc2185ded,4 +np.float32,0x3e3552b1,0xbf40790c,4 +np.float32,0x3d3f7c87,0xbfaa44b6,4 +np.float32,0x669d8e,0xc2181a65,4 +np.float32,0x3f0e21b4,0xbe82d757,4 +np.float32,0x686f95,0xc2181293,4 +np.float32,0x3f48367f,0xbdda9ead,4 +np.float32,0x3dc27802,0xbf82e0a0,4 +np.float32,0x3f6ac40c,0xbd1a07d4,4 +np.float32,0x3bba6d,0xc2190b12,4 +np.float32,0x3ec7b6b0,0xbed15665,4 +np.float32,0x3f1f9ca4,0xbe521955,4 +np.float32,0x3ef2f147,0xbea5c4b8,4 +np.float32,0x7c65f769,0x4212b762,4 +np.float32,0x7e98e162,0x42180716,4 +np.float32,0x3f0f0c09,0xbe8169ea,4 +np.float32,0x3d67f03b,0xbf9f9d48,4 +np.float32,0x7f3751e4,0x42198c18,4 +np.float32,0x7f1fac61,0x42194ead,4 +np.float32,0x3e9b698b,0xbf048d89,4 +np.float32,0x7e66507b,0x42178913,4 +np.float32,0x7f5cb680,0x4219dea5,4 +np.float32,0x234700,0xc219f53e,4 +np.float32,0x3d9984ad,0xbf900591,4 +np.float32,0x3f33a3f2,0xbe1d872a,4 +np.float32,0x3eaf52b6,0xbeee4cf4,4 +np.float32,0x7f078930,0x421905ca,4 +np.float32,0x3f083b39,0xbe8c44df,4 +np.float32,0x3e3823f8,0xbf3ec231,4 +np.float32,0x3eef6f5d,0xbea9008c,4 +np.float32,0x6145e1,0xc218322c,4 +np.float32,0x16d9ae,0xc21ab65f,4 +np.float32,0x7e543376,0x421764a5,4 +np.float32,0x3ef77ccb,0xbea1a5a0,4 +np.float32,0x3f4a443f,0xbdd18af5,4 +np.float32,0x8f209,0xc21c5770,4 +np.float32,0x3ecac126,0xbecdfa33,4 +np.float32,0x3e8662f9,0xbf14b6c7,4 +np.float32,0x23759a,0xc219f2f4,4 +np.float32,0xf256d,0xc21b6d3f,4 +np.float32,0x3f579f93,0xbd98aaa2,4 +np.float32,0x3ed4cc8e,0xbec339cb,4 +np.float32,0x3ed25400,0xbec5d2a1,4 +np.float32,0x3ed6f8ba,0xbec0f795,4 +np.float32,0x7f36efd9,0x42198b2a,4 +np.float32,0x7f5169dd,0x4219c746,4 +np.float32,0x7de18a20,0x42164b80,4 +np.float32,0x3e8de526,0xbf0eab61,4 +np.float32,0x3de0cbcd,0xbf75a47e,4 +np.float32,0xe265f,0xc21b8b82,4 +np.float32,0x3df3cdbd,0xbf6c9e40,4 +np.float32,0x3f38a25a,0xbe115589,4 +np.float32,0x7f01f2c0,0x4218f311,4 +np.float32,0x3da7d5f4,0xbf8b10a5,4 +np.float32,0x4d4fe8,0xc2189850,4 +np.float32,0x3cc96d9d,0xbfcdfc8d,4 +np.float32,0x259a88,0xc219d8d7,4 +np.float32,0x7f1d5102,0x42194810,4 +np.float32,0x7e17ca91,0x4216cfa7,4 +np.float32,0x3f73d110,0xbcad7a8f,4 +np.float32,0x3f009383,0xbe9920ed,4 +np.float32,0x7e22af,0xc217be9f,4 +np.float32,0x3f7de2ce,0xbb6c0394,4 +np.float32,0x3edd0cd2,0xbebac45a,4 +np.float32,0x3ec9b5c1,0xbecf2035,4 +np.float32,0x3168c5,0xc2195f6b,4 +np.float32,0x3e935522,0xbf0a7d18,4 +np.float32,0x3e494077,0xbf34e120,4 +np.float32,0x3f52ed06,0xbdac41ec,4 +np.float32,0x3f73d51e,0xbcad3f65,4 +np.float32,0x3f03d453,0xbe939295,4 +np.float32,0x7ef4ee68,0x4218d8b1,4 +np.float32,0x3ed0e2,0xc218f4a7,4 +np.float32,0x4efab8,0xc2188ed3,4 +np.float32,0x3dbd5632,0xbf845d3b,4 +np.float32,0x7eecad4f,0x4218c972,4 +np.float32,0x9d636,0xc21c2d32,4 +np.float32,0x3e5f3b6b,0xbf295ae7,4 +np.float32,0x7f4932df,0x4219b57a,4 +np.float32,0x4b59b5,0xc218a3be,4 +np.float32,0x3e5de97f,0xbf2a03b4,4 +np.float32,0x3f1c479d,0xbe5b7b3c,4 +np.float32,0x3f42e7e4,0xbdf283a5,4 +np.float32,0x2445,0xc2238af2,4 +np.float32,0x7aa71b43,0x420e8c9e,4 +np.float32,0x3ede6e4e,0xbeb961e1,4 +np.float32,0x7f05dd3b,0x42190045,4 +np.float32,0x3ef5b55c,0xbea3404b,4 +np.float32,0x7f738624,0x421a0a62,4 +np.float32,0x3e7d50a1,0xbf1b4cb4,4 +np.float32,0x3f44cc4a,0xbde9ebcc,4 +np.float32,0x7e1a7b0b,0x4216d777,4 +np.float32,0x3f1d9868,0xbe57c0da,4 +np.float32,0x1ebee2,0xc21a3263,4 +np.float32,0x31685f,0xc2195f6e,4 +np.float32,0x368a8e,0xc2193379,4 +np.float32,0xa9847,0xc21c0c2e,4 +np.float32,0x3bd3b3,0xc2190a56,4 +np.float32,0x3961e4,0xc2191ce3,4 +np.float32,0x7e13a243,0x4216c34e,4 +np.float32,0x7f7b1790,0x421a17ff,4 +np.float32,0x3e55f020,0xbf2e1545,4 +np.float32,0x3f513861,0xbdb37aa8,4 +np.float32,0x3dd9e754,0xbf791ad2,4 +np.float32,0x5e8d86,0xc2183ec9,4 +np.float32,0x26b796,0xc219cbdd,4 +np.float32,0x429daa,0xc218da89,4 +np.float32,0x3f477caa,0xbdddd9ba,4 +np.float32,0x3f0e5114,0xbe828d45,4 +np.float32,0x3f54f362,0xbda3c286,4 +np.float32,0x6eac1c,0xc217f8c8,4 +np.float32,0x3f04c479,0xbe91fef5,4 +np.float32,0x3e993765,0xbf06228e,4 +np.float32,0x3eafd99f,0xbeeda21b,4 +np.float32,0x3f2a759e,0xbe34db96,4 +np.float32,0x3f05adfb,0xbe907937,4 +np.float32,0x3f6e2dfc,0xbd005980,4 +np.float32,0x3f2f2daa,0xbe28b6b5,4 +np.float32,0x15e746,0xc21ac931,4 +np.float32,0x7d34ca26,0x4214b4e5,4 +np.float32,0x7ebd175c,0x4218659f,4 +np.float32,0x7f1ed26b,0x42194c4c,4 +np.float32,0x2588b,0xc21eaab0,4 +np.float32,0x3f0065e3,0xbe996fe2,4 +np.float32,0x3f610376,0xbd658122,4 +np.float32,0x451995,0xc218ca41,4 +np.float32,0x70e083,0xc217f002,4 +np.float32,0x7e19821a,0x4216d4a8,4 +np.float32,0x3e7cd9a0,0xbf1b80fb,4 +np.float32,0x7f1a8f18,0x42194033,4 +np.float32,0x3f008fee,0xbe99271f,4 +np.float32,0xff7fffff,0x7fc00000,4 +np.float32,0x7f31d826,0x42197e9b,4 +np.float32,0x3f18cf12,0xbe657838,4 +np.float32,0x3e5c1bc7,0xbf2aebf9,4 +np.float32,0x3e3d3993,0xbf3bbaf8,4 +np.float32,0x68457a,0xc2181347,4 +np.float32,0x7ddf7561,0x42164761,4 +np.float32,0x7f47341b,0x4219b10c,4 +np.float32,0x4d3ecd,0xc21898b2,4 +np.float32,0x7f43dee8,0x4219a98b,4 +np.float32,0x3f0def7c,0xbe8325f5,4 +np.float32,0x3d5a551f,0xbfa2f994,4 +np.float32,0x7ed26602,0x4218951b,4 +np.float32,0x3ee7fa5b,0xbeb0099a,4 +np.float32,0x7ef74ea8,0x4218dcfc,4 +np.float32,0x6a3bb2,0xc2180afd,4 +np.float32,0x7f4c1e6e,0x4219bbe3,4 +np.float32,0x3e26f625,0xbf49a5a2,4 +np.float32,0xb8482,0xc21be70b,4 +np.float32,0x3f32f077,0xbe1f445b,4 +np.float32,0x7dd694b6,0x4216355a,4 +np.float32,0x7f3d62fd,0x42199a92,4 +np.float32,0x3f48e41a,0xbdd79cbf,4 +np.float32,0x338fc3,0xc2194c75,4 +np.float32,0x3e8355f0,0xbf174462,4 +np.float32,0x7f487e83,0x4219b3eb,4 +np.float32,0x2227f7,0xc21a039b,4 +np.float32,0x7e4383dd,0x4217403a,4 +np.float32,0x52d28b,0xc21879b2,4 +np.float32,0x12472c,0xc21b19a9,4 +np.float32,0x353530,0xc2193e7b,4 +np.float32,0x3f4e4728,0xbdc0137a,4 +np.float32,0x3bf169,0xc2190979,4 +np.float32,0x3eb3ee2e,0xbee8885f,4 +np.float32,0x3f03e3c0,0xbe937892,4 +np.float32,0x3c9f8408,0xbfdaf47f,4 +np.float32,0x40e792,0xc218e61b,4 +np.float32,0x5a6b29,0xc21852ab,4 +np.float32,0x7f268b83,0x4219616a,4 +np.float32,0x3ee25997,0xbeb57fa7,4 +np.float32,0x3f175324,0xbe69cf53,4 +np.float32,0x3f781d91,0xbc5e9827,4 +np.float32,0x7dba5210,0x4215f68c,4 +np.float32,0x7f1e66,0xc217bb2b,4 +np.float32,0x7f7fffff,0x421a209b,4 +np.float32,0x3f646202,0xbd4b10b8,4 +np.float32,0x575248,0xc218622b,4 +np.float32,0x7c67faa1,0x4212bb42,4 +np.float32,0x7f1683f2,0x42193469,4 +np.float32,0x1a3864,0xc21a7931,4 +np.float32,0x7f30ad75,0x42197bae,4 +np.float32,0x7f1c9d05,0x42194612,4 +np.float32,0x3e791795,0xbf1d2b2c,4 +np.float32,0x7e9ebc19,0x421817cd,4 +np.float32,0x4999b7,0xc218ae31,4 +np.float32,0x3d130e2c,0xbfb8f1cc,4 +np.float32,0x3f7e436f,0xbb41bb07,4 +np.float32,0x3ee00241,0xbeb7cf7d,4 +np.float32,0x7e496181,0x42174d5f,4 +np.float32,0x7efe58be,0x4218e978,4 +np.float32,0x3f5e5b0c,0xbd7aa43f,4 +np.float32,0x7ee4c6ab,0x4218ba59,4 +np.float32,0x3f6da8c6,0xbd043d7e,4 +np.float32,0x3e3e6e0f,0xbf3b064b,4 +np.float32,0x3f0143b3,0xbe97f10a,4 +np.float32,0x79170f,0xc217d0c6,4 +np.float32,0x517645,0xc218810f,4 +np.float32,0x3f1f9960,0xbe52226e,4 +np.float32,0x2a8df9,0xc219a1d6,4 +np.float32,0x2300a6,0xc219f8b8,4 +np.float32,0x3ee31355,0xbeb4c97a,4 +np.float32,0x3f20b05f,0xbe4f1ba9,4 +np.float32,0x3ee64249,0xbeb1b0ff,4 +np.float32,0x3a94b7,0xc21913b2,4 +np.float32,0x7ef7ef43,0x4218de1d,4 +np.float32,0x3f1abb5d,0xbe5fe872,4 +np.float32,0x7f65360b,0x4219ef72,4 +np.float32,0x3d315d,0xc219004c,4 +np.float32,0x3f26bbc4,0xbe3eafb9,4 +np.float32,0x3ee8c6e9,0xbeaf45de,4 +np.float32,0x7e5f1452,0x42177ae1,4 +np.float32,0x3f32e777,0xbe1f5aba,4 +np.float32,0x4d39a1,0xc21898d0,4 +np.float32,0x3e59ad15,0xbf2c2841,4 +np.float32,0x3f4be746,0xbdca5fc4,4 +np.float32,0x72e4fd,0xc217e821,4 +np.float32,0x1af0b8,0xc21a6d25,4 +np.float32,0x3f311147,0xbe23f18d,4 +np.float32,0x3f1ecebb,0xbe545880,4 +np.float32,0x7e90d293,0x4217ef02,4 +np.float32,0x3e3b366a,0xbf3ceb46,4 +np.float32,0x3f133239,0xbe761c96,4 +np.float32,0x7541ab,0xc217df15,4 +np.float32,0x3d8c8275,0xbf94f1a1,4 +np.float32,0x483b92,0xc218b689,4 +np.float32,0x3eb0dbed,0xbeec5c6b,4 +np.float32,0x3f00c676,0xbe98c8e2,4 +np.float32,0x3f445ac2,0xbdebed7c,4 +np.float32,0x3d2af4,0xc219007a,4 +np.float32,0x7f196ee1,0x42193cf2,4 +np.float32,0x290c94,0xc219b1db,4 +np.float32,0x3f5dbdc9,0xbd7f9019,4 +np.float32,0x3e80c62e,0xbf1974fc,4 +np.float32,0x3ec9ed2c,0xbecee326,4 +np.float32,0x7f469d60,0x4219afbb,4 +np.float32,0x3f698413,0xbd2386ce,4 +np.float32,0x42163f,0xc218de14,4 +np.float32,0x67a554,0xc21815f4,4 +np.float32,0x3f4bff74,0xbdc9f651,4 +np.float32,0x16a743,0xc21aba39,4 +np.float32,0x2eb8b0,0xc219784b,4 +np.float32,0x3eed9be1,0xbeaab45b,4 +np.float64,0x7fe0d76873e1aed0,0x40733f9d783bad7a,1 +np.float64,0x3fe22626bb244c4d,0xbfcf86a59864eea2,1 +np.float64,0x7f874113d02e8227,0x407324f54c4015b8,1 +np.float64,0x3fe40a46a9e8148d,0xbfca0411f533fcb9,1 +np.float64,0x3fd03932eea07266,0xbfe312bc9cf5649e,1 +np.float64,0x7fee5d2a1b3cba53,0x407343b5f56367a0,1 +np.float64,0x3feb7bda4a76f7b5,0xbfb0ea2c6edc784a,1 +np.float64,0x3fd6cd831a2d9b06,0xbfdcaf2e1a5faf51,1 +np.float64,0x98324e273064a,0xc0733e0e4c6d11c6,1 +np.float64,0x7fe1dd63b363bac6,0x4073400667c405c3,1 +np.float64,0x3fec5971f178b2e4,0xbfaaef32a7d94563,1 +np.float64,0x17abc07e2f579,0xc0734afca4da721e,1 +np.float64,0x3feec6ab5cfd8d57,0xbf9157f3545a8235,1 +np.float64,0x3fe3ae9622a75d2c,0xbfcb04b5ad254581,1 +np.float64,0x7fea73d854b4e7b0,0x407342c0a548f4c5,1 +np.float64,0x7fe29babf4653757,0x4073404eeb5fe714,1 +np.float64,0x7fd3a55d85a74aba,0x40733bde72e86c27,1 +np.float64,0x3fe83ce305f079c6,0xbfbee3511e85e0f1,1 +np.float64,0x3fd72087ea2e4110,0xbfdc4ab30802d7c2,1 +np.float64,0x7feb54ddab76a9ba,0x407342facb6f3ede,1 +np.float64,0xc57e34a18afd,0xc0734f82ec815baa,1 +np.float64,0x7a8cb97ef5198,0xc0733f8fb3777a67,1 +np.float64,0x7fe801032c300205,0x40734213dbe4eda9,1 +np.float64,0x3aefb1f475df7,0xc07344a5f08a0584,1 +np.float64,0x7fee85f1dd3d0be3,0x407343bf4441c2a7,1 +np.float64,0x3fdc7f1055b8fe21,0xbfd67d300630e893,1 +np.float64,0xe8ecddb3d1d9c,0xc0733b194f18f466,1 +np.float64,0x3fdf2b23c73e5648,0xbfd3ff6872c1f887,1 +np.float64,0x3fdba4aef2b7495e,0xbfd7557205e18b7b,1 +np.float64,0x3fe2ac34c6e5586a,0xbfcdf1dac69bfa08,1 +np.float64,0x3fc9852628330a4c,0xbfe66914f0fb9b0a,1 +np.float64,0x7fda211acf344235,0x40733dd9c2177aeb,1 +np.float64,0x3fe9420eb432841d,0xbfba4dd969a32575,1 +np.float64,0xb2f9d1ed65f3a,0xc0733cedfb6527ff,1 +np.float64,0x3fe9768a68f2ed15,0xbfb967c39c35c435,1 +np.float64,0x7fe8268462b04d08,0x4073421eaed32734,1 +np.float64,0x3fcf331f063e663e,0xbfe39e2f4b427ca9,1 +np.float64,0x7fd4eb9e2b29d73b,0x40733c4e4141418d,1 +np.float64,0x7fd2bba658a5774c,0x40733b89cd53d5b1,1 +np.float64,0x3fdfdf04913fbe09,0xbfd360c7fd9d251b,1 +np.float64,0x3fca5bfd0534b7fa,0xbfe5f5f844b2b20c,1 +np.float64,0x3feacd5032f59aa0,0xbfb3b5234ba8bf7b,1 +np.float64,0x7fe9241cec724839,0x4073426631362cec,1 +np.float64,0x3fe57aca20eaf594,0xbfc628e3ac2c6387,1 +np.float64,0x3fec6553ca38caa8,0xbfaa921368d3b222,1 +np.float64,0x3fe1e9676563d2cf,0xbfd020f866ba9b24,1 +np.float64,0x3fd5590667aab20d,0xbfde8458af5a4fd6,1 +np.float64,0x3fdf7528f43eea52,0xbfd3bdb438d6ba5e,1 +np.float64,0xb8dddc5571bbc,0xc0733cb4601e5bb2,1 +np.float64,0xe6d4e1fbcda9c,0xc0733b295ef4a4ba,1 +np.float64,0x3fe7019d962e033b,0xbfc257c0a6e8de16,1 +np.float64,0x3f94ef585029deb1,0xbffb07e5dfb0e936,1 +np.float64,0x7fc863b08030c760,0x4073388e28d7b354,1 +np.float64,0xf684443bed089,0xc0733ab46cfbff9a,1 +np.float64,0x7fe00e901d201d1f,0x40733f489c05a0f0,1 +np.float64,0x9e5c0a273cb82,0xc0733dc7af797e19,1 +np.float64,0x7fe49734f0692e69,0x4073410303680df0,1 +np.float64,0x7fb7b584442f6b08,0x4073338acff72502,1 +np.float64,0x3f99984c30333098,0xbff9a2642a6ed8cc,1 +np.float64,0x7fea2fcda8745f9a,0x407342aeae7f5e64,1 +np.float64,0xe580caadcb01a,0xc0733b33a3639217,1 +np.float64,0x1899ab3831336,0xc0734ab823729417,1 +np.float64,0x39bd4c76737aa,0xc07344ca6fac6d21,1 +np.float64,0xd755b2dbaeab7,0xc0733ba4fe19f2cc,1 +np.float64,0x3f952bebf82a57d8,0xbffaf3e7749c2512,1 +np.float64,0x3fe62ee5d72c5dcc,0xbfc45e3cb5baad08,1 +np.float64,0xb1264a7d624ca,0xc0733d003a1d0a66,1 +np.float64,0x3fc4bd1bcd297a38,0xbfe94b3058345c46,1 +np.float64,0x7fc5758bb32aeb16,0x407337aa7805497f,1 +np.float64,0x3fb0edcaf421db96,0xbff2dfb09c405294,1 +np.float64,0x3fd240fceaa481fa,0xbfe16f356bb36134,1 +np.float64,0x38c0c62a7181a,0xc07344e916d1e9b7,1 +np.float64,0x3fe98f2b3bf31e56,0xbfb8fc6eb622a820,1 +np.float64,0x3fe2bdf99c257bf3,0xbfcdbd0dbbae4d0b,1 +np.float64,0xce4b390d9c967,0xc0733bf14ada3134,1 +np.float64,0x3fd2ad607ba55ac1,0xbfe11da15167b37b,1 +np.float64,0x3fd8154f11b02a9e,0xbfdb2a6fabb9a026,1 +np.float64,0xf37849fde6f09,0xc0733aca8c64344c,1 +np.float64,0x3fcbae43b2375c87,0xbfe547f267c8e570,1 +np.float64,0x3fcd46fd7d3a8dfb,0xbfe48070f7232929,1 +np.float64,0x7fcdd245273ba489,0x407339f3d907b101,1 +np.float64,0x3fac75cd0838eb9a,0xbff4149d177b057b,1 +np.float64,0x7fe8ff3fd7f1fe7f,0x4073425bf968ba6f,1 +np.float64,0x7febadaa4df75b54,0x407343113a91f0e9,1 +np.float64,0x7fd5e4649c2bc8c8,0x40733c9f0620b065,1 +np.float64,0x903429812069,0xc07351b255e27887,1 +np.float64,0x3fe1d8c51c63b18a,0xbfd03ad448c1f1ee,1 +np.float64,0x3fe573ea646ae7d5,0xbfc63ab0bfd0e601,1 +np.float64,0x3f83b3f3c02767e8,0xc00022677e310649,1 +np.float64,0x7fd15d1582a2ba2a,0x40733b02c469c1d6,1 +np.float64,0x3fe63d3dabec7a7b,0xbfc43a56ee97b27e,1 +np.float64,0x7fe3a452fb2748a5,0x407340af1973c228,1 +np.float64,0x3fafac6b303f58d6,0xbff35651703ae9f2,1 +np.float64,0x513ddd24a27bc,0xc073426af96aaebb,1 +np.float64,0x3fef152246be2a45,0xbf89df79d7719282,1 +np.float64,0x3fe8c923e9f19248,0xbfbc67228e8db5f6,1 +np.float64,0x3fd6e2325fadc465,0xbfdc9602fb0b950f,1 +np.float64,0x3fe9616815f2c2d0,0xbfb9c4311a3b415b,1 +np.float64,0x2fe4e4005fc9d,0xc0734616fe294395,1 +np.float64,0x3fbceb02dc39d606,0xbfee4e68f1c7886f,1 +np.float64,0x7fe35e843d66bd07,0x407340963b066ad6,1 +np.float64,0x7fecd6c648f9ad8c,0x4073435a4c176e94,1 +np.float64,0x7fcbd72bf437ae57,0x4073397994b85665,1 +np.float64,0x3feff6443b3fec88,0xbf40eb380d5318ae,1 +np.float64,0x7fb9373cf6326e79,0x407333f869edef08,1 +np.float64,0x63790d9cc6f22,0xc0734102d4793cda,1 +np.float64,0x3f9de6efe83bcde0,0xbff88db6f0a6b56e,1 +np.float64,0xe00f2dc1c01f,0xc0734ea26ab84ff2,1 +np.float64,0xd7a9aa8baf536,0xc0733ba248fa33ab,1 +np.float64,0x3fee0089ea7c0114,0xbf9cab936ac31c4b,1 +np.float64,0x3fdec0d51cbd81aa,0xbfd45ed8878c5860,1 +np.float64,0x7fe91bf5e9f237eb,0x40734263f005081d,1 +np.float64,0x34ea7d1e69d50,0xc07345659dde7444,1 +np.float64,0x7fe67321a3ace642,0x4073419cc8130d95,1 +np.float64,0x9d1aeb2f3a35e,0xc0733dd5d506425c,1 +np.float64,0x7fbb01df003603bd,0x4073347282f1391d,1 +np.float64,0x42b945b285729,0xc07343c92d1bbef9,1 +np.float64,0x7fc92799b8324f32,0x407338c51e3f0733,1 +np.float64,0x3fe119c19b223383,0xbfd16ab707f65686,1 +np.float64,0x3fc9f9ac5333f359,0xbfe62a2f91ec0dff,1 +np.float64,0x3fd820d5a8b041ab,0xbfdb1d2586fe7b18,1 +np.float64,0x10000000000000,0xc0733a7146f72a42,1 +np.float64,0x3fe7e1543eafc2a8,0xbfc045362889592d,1 +np.float64,0xcbc0e1819783,0xc0734f4b68e05b1c,1 +np.float64,0xeb57e411d6afd,0xc0733b06efec001a,1 +np.float64,0xa9b74b47536ea,0xc0733d4c7bd06ddc,1 +np.float64,0x3fe56d4022eada80,0xbfc64bf8c7e3dd59,1 +np.float64,0x3fd445ca27288b94,0xbfdff40aecd0f882,1 +np.float64,0x3fe5af1cf5ab5e3a,0xbfc5a21d83699a04,1 +np.float64,0x7fed3431eb7a6863,0x40734370aa6131e1,1 +np.float64,0x3fd878dea1b0f1bd,0xbfdab8730dc00517,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x3feba9fcc1f753fa,0xbfb03027dcecbf65,1 +np.float64,0x7fca4feed6349fdd,0x4073391526327eb0,1 +np.float64,0x3fe7748ddbaee91c,0xbfc144b438218065,1 +np.float64,0x3fb5fbd94c2bf7b3,0xbff10ee6342c21a0,1 +np.float64,0x3feb603b97f6c077,0xbfb15a1f99d6d25e,1 +np.float64,0x3fe2e6fc8ce5cdf9,0xbfcd43edd7f3b4e6,1 +np.float64,0x7feb2b31f7765663,0x407342f02b306688,1 +np.float64,0x3fe290e2282521c4,0xbfce436deb8dbcf3,1 +np.float64,0x3fe3d5adf9e7ab5c,0xbfca96b8aa55d942,1 +np.float64,0x691899f2d2314,0xc07340a1026897c8,1 +np.float64,0x7fe468b008e8d15f,0x407340f33eadc628,1 +np.float64,0x3fb3a4c416274988,0xbff1d71da539a56e,1 +np.float64,0x3fe2442b29e48856,0xbfcf2b0037322661,1 +np.float64,0x3f376fbc7e6ef,0xc073442939a84643,1 +np.float64,0x3fe7c78d65ef8f1b,0xbfc08157cff411de,1 +np.float64,0xd4f27acba9e50,0xc0733bb8d38daa50,1 +np.float64,0x5198919ea3313,0xc07342633ba7cbea,1 +np.float64,0x7fd09f66f0a13ecd,0x40733ab5310b4385,1 +np.float64,0x3fdfe5531dbfcaa6,0xbfd35b487c7e739f,1 +np.float64,0x3fc4b0fecc2961fe,0xbfe95350c38c1640,1 +np.float64,0x7fd5ae21962b5c42,0x40733c8db78b7250,1 +np.float64,0x3fa4a8fcd42951fa,0xbff64e62fe602b72,1 +np.float64,0x7fc8e0e25831c1c4,0x407338b179b91223,1 +np.float64,0x7fdde1df6f3bc3be,0x40733ec87f9f027e,1 +np.float64,0x3fd8b9ad86b1735b,0xbfda6f385532c41b,1 +np.float64,0x3fd9f20ee933e41e,0xbfd91872fd858597,1 +np.float64,0x7feb35332df66a65,0x407342f2b9c715f0,1 +np.float64,0x7fe783dc7eaf07b8,0x407341ef41873706,1 +np.float64,0x7fceee929f3ddd24,0x40733a34e3c660fd,1 +np.float64,0x985b58d730b6b,0xc0733e0c6cfbb6f8,1 +np.float64,0x3fef4bb55cfe976b,0xbf83cb246c6f2a78,1 +np.float64,0x3fe218014f243003,0xbfcfb20ac683e1f6,1 +np.float64,0x7fe43b9fbea8773e,0x407340e3d5d5d29e,1 +np.float64,0x7fe148c74c62918e,0x40733fcba4367b8b,1 +np.float64,0x3feea4ad083d495a,0xbf93443917f3c991,1 +np.float64,0x8bcf6311179ed,0xc0733ea54d59dd31,1 +np.float64,0xf4b7a2dbe96f5,0xc0733ac175182401,1 +np.float64,0x543338baa8668,0xc073422b59165fe4,1 +np.float64,0x3fdb467317368ce6,0xbfd7b4d515929635,1 +np.float64,0x7fe3bbbc89e77778,0x407340b75cdf3de7,1 +np.float64,0x7fe693377aad266e,0x407341a6af60a0f1,1 +np.float64,0x3fc66210502cc421,0xbfe83bb940610a24,1 +np.float64,0x7fa75638982eac70,0x40732e9da476b816,1 +np.float64,0x3fe0d72a4761ae55,0xbfd1d7c82c479fab,1 +np.float64,0x97dec0dd2fbd8,0xc0733e121e072804,1 +np.float64,0x3fef33ec8c7e67d9,0xbf86701be6be8df1,1 +np.float64,0x7fcfca9b423f9536,0x40733a65a51efb94,1 +np.float64,0x9f2215633e443,0xc0733dbf043de9ed,1 +np.float64,0x2469373e48d28,0xc07347fe9e904b77,1 +np.float64,0x7fecc2e18cb985c2,0x407343557f58dfa2,1 +np.float64,0x3fde4acbfdbc9598,0xbfd4ca559e575e74,1 +np.float64,0x3fd6b11cf1ad623a,0xbfdcd1e17ef36114,1 +np.float64,0x3fc19ec494233d89,0xbfeb8ef228e8826a,1 +np.float64,0x4c89ee389913e,0xc07342d50c904f61,1 +np.float64,0x88c2046f11841,0xc0733ecc91369431,1 +np.float64,0x7fc88c13fd311827,0x40733899a125b392,1 +np.float64,0x3fcebd893a3d7b12,0xbfe3d2f35ab93765,1 +np.float64,0x3feb582a1476b054,0xbfb17ae8ec6a0465,1 +np.float64,0x7fd4369e5da86d3c,0x40733c1118b8cd67,1 +np.float64,0x3fda013fc1340280,0xbfd90831b85e98b2,1 +np.float64,0x7fed33d73fba67ad,0x4073437094ce1bd9,1 +np.float64,0x3fed3191053a6322,0xbfa468cc26a8f685,1 +np.float64,0x3fc04ed51c209daa,0xbfeca24a6f093bca,1 +np.float64,0x3fee4ac8763c9591,0xbf986458abbb90b5,1 +np.float64,0xa2d39dd145a74,0xc0733d9633651fbc,1 +np.float64,0x3fe7d9f86f2fb3f1,0xbfc0565a0b059f1c,1 +np.float64,0x3fe3250144e64a03,0xbfcc8eb2b9ae494b,1 +np.float64,0x7fe2b29507a56529,0x4073405774492075,1 +np.float64,0x7fdcdfcbe2b9bf97,0x40733e8b736b1bd8,1 +np.float64,0x3fc832730f3064e6,0xbfe7267ac9b2e7c3,1 +np.float64,0x3fc7e912e52fd226,0xbfe750dfc0aeae57,1 +np.float64,0x7fc960472f32c08d,0x407338d4b4cb3957,1 +np.float64,0x3fbdf182ea3be306,0xbfedd27150283ffb,1 +np.float64,0x3fd1e9359823d26b,0xbfe1b2ac7fd25f8d,1 +np.float64,0x7fbcf75f6039eebe,0x407334ef13eb16f8,1 +np.float64,0x3fe5a3c910eb4792,0xbfc5bf2f57c5d643,1 +np.float64,0x3fcf4f2a6e3e9e55,0xbfe391b6f065c4b8,1 +np.float64,0x3fee067873fc0cf1,0xbf9c53af0373fc0e,1 +np.float64,0xd3f08b85a7e12,0xc0733bc14357e686,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0x3fc8635f6430c6bf,0xbfe70a7dc77749a7,1 +np.float64,0x3fe3ff5c52a7feb9,0xbfca22617c6636d5,1 +np.float64,0x3fbbae91fa375d24,0xbfeee9d4c300543f,1 +np.float64,0xe3f71b59c7ee4,0xc0733b3f99187375,1 +np.float64,0x7fca93d3be3527a6,0x40733926fd48ecd6,1 +np.float64,0x3fcd29f7223a53ee,0xbfe48e3edf32fe57,1 +np.float64,0x7fdc4ef6f8389ded,0x40733e68401cf2a6,1 +np.float64,0xe009bc81c014,0xc0734ea295ee3e5b,1 +np.float64,0x61f56c78c3eae,0xc073411e1dbd7c54,1 +np.float64,0x3fde131928bc2632,0xbfd4fda024f6927c,1 +np.float64,0x3fb21ee530243dca,0xbff266aaf0358129,1 +np.float64,0x7feaac82a4f55904,0x407342cf7809d9f9,1 +np.float64,0x3fe66ab177ecd563,0xbfc3c92d4d522819,1 +np.float64,0xfe9f9c2bfd3f4,0xc0733a7ade3a88a7,1 +np.float64,0x7fd0c5217c218a42,0x40733ac4e4c6dfa5,1 +np.float64,0x430f4ae6861ea,0xc07343c03d8a9442,1 +np.float64,0x494bff2a92981,0xc073432209d2fd16,1 +np.float64,0x3f8860e9d030c1d4,0xbffeca059ebf5e89,1 +np.float64,0x3fe43732dc286e66,0xbfc98800388bad2e,1 +np.float64,0x6443b60ec8877,0xc07340f4bab11827,1 +np.float64,0x3feda9be6d7b537d,0xbfa0dcb9a6914069,1 +np.float64,0x3fc5ceb6772b9d6d,0xbfe89868c881db70,1 +np.float64,0x3fbdf153023be2a6,0xbfedd2878c3b4949,1 +np.float64,0x7fe8f6b8e8f1ed71,0x407342599a30b273,1 +np.float64,0x3fea6fbdb8b4df7b,0xbfb53bf66f71ee96,1 +np.float64,0xc7ac3dbb8f588,0xc0733c2b525b7963,1 +np.float64,0x3fef3a91f77e7524,0xbf85b2bd3adbbe31,1 +np.float64,0x3f887cb97030f973,0xbffec21ccbb5d22a,1 +np.float64,0x8b2f1c9f165e4,0xc0733ead49300951,1 +np.float64,0x2c1cb32058397,0xc07346a951bd8d2b,1 +np.float64,0x3fe057edd620afdc,0xbfd2acf1881b7e99,1 +np.float64,0x7f82e9530025d2a5,0x4073238591dd52ce,1 +np.float64,0x3fe4e03dff69c07c,0xbfc7be96c5c006fc,1 +np.float64,0x52727b4aa4e50,0xc0734250c58ebbc1,1 +np.float64,0x3f99a62160334c43,0xbff99ea3ca09d8f9,1 +np.float64,0x3fd5314b4faa6297,0xbfdeb843daf01e03,1 +np.float64,0x3fefde89e13fbd14,0xbf5d1facb7a1e9de,1 +np.float64,0x7fb460f1a228c1e2,0x4073327d8cbc5f86,1 +np.float64,0xeb93efb3d727e,0xc0733b052a4990e4,1 +np.float64,0x3fe884baecf10976,0xbfbd9ba9cfe23713,1 +np.float64,0x7fefffffffffffff,0x40734413509f79ff,1 +np.float64,0x149dc7c6293ba,0xc0734bf26b1df025,1 +np.float64,0x64188f88c8313,0xc07340f7b8e6f4b5,1 +np.float64,0x3fdfac314abf5863,0xbfd38d3e9dba1b0e,1 +np.float64,0x3fd72052a42e40a5,0xbfdc4af30ee0b245,1 +np.float64,0x7fdd951f743b2a3e,0x40733eb68fafa838,1 +np.float64,0x65a2dd5acb45c,0xc07340dc8ed625e1,1 +np.float64,0x7fe89a79997134f2,0x4073423fbceb1cbe,1 +np.float64,0x3fe70a000d6e1400,0xbfc24381e09d02f7,1 +np.float64,0x3fe2cec160259d83,0xbfcd8b5e92354129,1 +np.float64,0x3feb9ef77a773def,0xbfb05c7b2ee6f388,1 +np.float64,0xe0d66689c1acd,0xc0733b582c779620,1 +np.float64,0x3fee86bd0ffd0d7a,0xbf94f7870502c325,1 +np.float64,0x186afc6230d60,0xc0734ac55fb66d5d,1 +np.float64,0xc0631f4b80c64,0xc0733c6d7149d373,1 +np.float64,0x3fdad1b87735a371,0xbfd82cca73ec663b,1 +np.float64,0x7fe7f6d313efeda5,0x40734210e84576ab,1 +np.float64,0x7fd7b7fce6af6ff9,0x40733d2d92ffdaaf,1 +np.float64,0x3fe6f35a28ade6b4,0xbfc27a4239b540c3,1 +np.float64,0x7fdb0b834eb61706,0x40733e17073a61f3,1 +np.float64,0x82f4661105e8d,0xc0733f19b34adeed,1 +np.float64,0x3fc77230112ee460,0xbfe796a7603c0d16,1 +np.float64,0x8000000000000000,0xfff0000000000000,1 +np.float64,0x7fb8317bc63062f7,0x407333aec761a739,1 +np.float64,0x7fd165609a22cac0,0x40733b061541ff15,1 +np.float64,0x3fed394768fa728f,0xbfa42e1596e1faf6,1 +np.float64,0x7febab693d7756d1,0x40734310a9ac828e,1 +np.float64,0x7fe809a69230134c,0x407342165b9acb69,1 +np.float64,0x3fc091d38f2123a7,0xbfec69a70fc23548,1 +np.float64,0x3fb2a8f5dc2551ec,0xbff2327f2641dd0d,1 +np.float64,0x7fc60b6fe02c16df,0x407337da5adc342c,1 +np.float64,0x3fefa53c3bbf4a78,0xbf73d1be15b73b00,1 +np.float64,0x7fee09c1717c1382,0x407343a2c479e1cb,1 +np.float64,0x8000000000000001,0x7ff8000000000000,1 +np.float64,0x3fede0b2733bc165,0xbf9e848ac2ecf604,1 +np.float64,0x3fee2ac331bc5586,0xbf9a3b699b721c9a,1 +np.float64,0x3fd4db12d829b626,0xbfdf2a413d1e453a,1 +np.float64,0x7fe605230dec0a45,0x4073417a67db06be,1 +np.float64,0x3fe378b2bf26f165,0xbfcb9dbb2b6d6832,1 +np.float64,0xc1d4c1ab83a98,0xc0733c60244cadbf,1 +np.float64,0x3feb15500e762aa0,0xbfb28c071d5efc22,1 +np.float64,0x3fe36225a626c44b,0xbfcbde4259e9047e,1 +np.float64,0x3fe7c586a72f8b0d,0xbfc08614b13ed4b2,1 +np.float64,0x7fb0f2d8cc21e5b1,0x40733135b2c7dd99,1 +np.float64,0x5957f3feb2aff,0xc07341c1df75638c,1 +np.float64,0x3fca4851bd3490a3,0xbfe6005ae5279485,1 +np.float64,0x824217d904843,0xc0733f232fd58f0f,1 +np.float64,0x4f9332269f267,0xc073428fd8e9cb32,1 +np.float64,0x3fea6f087374de11,0xbfb53ef0d03918b2,1 +np.float64,0x3fd9409ab4328135,0xbfd9d9231381e2b8,1 +np.float64,0x3fdba03b00374076,0xbfd759ec94a7ab5b,1 +np.float64,0x3fe0ce3766619c6f,0xbfd1e6912582ccf0,1 +np.float64,0x3fabd45ddc37a8bc,0xbff43c78d3188423,1 +np.float64,0x3fc3cadd592795bb,0xbfe9f1576c9b2c79,1 +np.float64,0x3fe10df049621be1,0xbfd17df2f2c28022,1 +np.float64,0x945b5d1328b6c,0xc0733e3bc06f1e75,1 +np.float64,0x7fc1c3742b2386e7,0x4073365a403d1051,1 +np.float64,0x7fdc957138b92ae1,0x40733e7977717586,1 +np.float64,0x7f943fa1a0287f42,0x407328d01de143f5,1 +np.float64,0x3fec9631c4392c64,0xbfa914b176d8f9d2,1 +np.float64,0x3fd8e7c008b1cf80,0xbfda3b9d9b6da8f4,1 +np.float64,0x7222f9fee4460,0xc073400e371516cc,1 +np.float64,0x3fe890e43eb121c8,0xbfbd64921462e823,1 +np.float64,0x3fcfd7fe2a3faffc,0xbfe3557e2f207800,1 +np.float64,0x3fed5dd1c1babba4,0xbfa318bb20db64e6,1 +np.float64,0x3fe6aa34c66d546a,0xbfc32c8a8991c11e,1 +np.float64,0x8ca79801196,0xc0736522bd5adf6a,1 +np.float64,0x3feb274079364e81,0xbfb2427b24b0ca20,1 +np.float64,0x7fe04927e4a0924f,0x40733f61c96f7f89,1 +np.float64,0x7c05f656f80bf,0xc0733f7a70555b4e,1 +np.float64,0x7fe97819eff2f033,0x4073427d4169b0f8,1 +np.float64,0x9def86e33bdf1,0xc0733dcc740b7175,1 +np.float64,0x7fedd1ef3f3ba3dd,0x40734395ceab8238,1 +np.float64,0x77bed86cef7dc,0xc0733fb8e0e9bf73,1 +np.float64,0x9274b41b24e97,0xc0733e52b16dff71,1 +np.float64,0x8010000000000000,0x7ff8000000000000,1 +np.float64,0x9c977855392ef,0xc0733ddba7d421d9,1 +np.float64,0xfb4560a3f68ac,0xc0733a9271e6a118,1 +np.float64,0xa67d9f394cfb4,0xc0733d6e9d58cc94,1 +np.float64,0x3fbfa766b03f4ecd,0xbfed0cccfecfc900,1 +np.float64,0x3fe177417522ee83,0xbfd0d45803bff01a,1 +np.float64,0x7fe85e077bb0bc0e,0x4073422e957a4aa3,1 +np.float64,0x7feeb0a6883d614c,0x407343c8f6568f7c,1 +np.float64,0xbab82edb75706,0xc0733ca2a2b20094,1 +np.float64,0xfadb44bdf5b69,0xc0733a9561b7ec04,1 +np.float64,0x3fefb9b82b3f7370,0xbf6ea776b2dcc3a9,1 +np.float64,0x7fe080ba8a610174,0x40733f795779b220,1 +np.float64,0x3f87faa1c02ff544,0xbffee76acafc92b7,1 +np.float64,0x7fed474108fa8e81,0x4073437531d4313e,1 +np.float64,0x3fdb7b229336f645,0xbfd77f583a4a067f,1 +np.float64,0x256dbf0c4adb9,0xc07347cd94e6fa81,1 +np.float64,0x3fd034ae25a0695c,0xbfe3169c15decdac,1 +np.float64,0x3a72177274e44,0xc07344b4cf7d68cd,1 +np.float64,0x7fa2522d5c24a45a,0x40732cef2f793470,1 +np.float64,0x3fb052bdde20a57c,0xbff3207fd413c848,1 +np.float64,0x3fdccfecbbb99fd9,0xbfd62ec04a1a687a,1 +np.float64,0x3fd403ac53280759,0xbfe027a31df2c8cc,1 +np.float64,0x3fab708e4036e11d,0xbff45591df4f2e8b,1 +np.float64,0x7fcfc001993f8002,0x40733a63539acf9d,1 +np.float64,0x3fd2b295dfa5652c,0xbfe119c1b476c536,1 +np.float64,0x7fe8061262b00c24,0x4073421552ae4538,1 +np.float64,0xffefffffffffffff,0x7ff8000000000000,1 +np.float64,0x7fed52093ffaa411,0x40734377c072a7e8,1 +np.float64,0xf3df902fe7bf2,0xc0733ac79a75ff7a,1 +np.float64,0x7fe13d382e227a6f,0x40733fc6fd0486bd,1 +np.float64,0x3621d5086c43b,0xc073453d31effbcd,1 +np.float64,0x3ff0000000000000,0x0,1 +np.float64,0x3fdaffea27b5ffd4,0xbfd7fd139dc1c2c5,1 +np.float64,0x7fea6536dc34ca6d,0x407342bccc564fdd,1 +np.float64,0x7fd478f00c28f1df,0x40733c27c0072fde,1 +np.float64,0x7fa72ef0502e5de0,0x40732e91e83db75c,1 +np.float64,0x7fd302970626052d,0x40733ba3ec6775f6,1 +np.float64,0x7fbb57ab0036af55,0x407334887348e613,1 +np.float64,0x3fda0ff722b41fee,0xbfd8f87b77930330,1 +np.float64,0x1e983ce23d309,0xc073493438f57e61,1 +np.float64,0x7fc90de97c321bd2,0x407338be01ffd4bd,1 +np.float64,0x7fe074b09c20e960,0x40733f7443f0dbe1,1 +np.float64,0x3fed5dec9fbabbd9,0xbfa317efb1fe8a95,1 +np.float64,0x7fdb877632b70eeb,0x40733e3697c88ba8,1 +np.float64,0x7fe4fb0067e9f600,0x40734124604b99e8,1 +np.float64,0x7fd447dc96288fb8,0x40733c1703ab2cce,1 +np.float64,0x3feb2d1e64f65a3d,0xbfb22a781df61c05,1 +np.float64,0xb6c8e6676d91d,0xc0733cc8859a0b91,1 +np.float64,0x3fdc3c2418387848,0xbfd6bec3a3c3cdb5,1 +np.float64,0x3fdecb9ccdbd973a,0xbfd4551c05721a8e,1 +np.float64,0x3feb1100e7762202,0xbfb29db911fe6768,1 +np.float64,0x3fe0444bc2a08898,0xbfd2ce69582e78c1,1 +np.float64,0x7fda403218b48063,0x40733de201d8340c,1 +np.float64,0x3fdc70421238e084,0xbfd68ba4bd48322b,1 +np.float64,0x3fe06e747c60dce9,0xbfd286bcac34a981,1 +np.float64,0x7fc1931d9623263a,0x407336473da54de4,1 +np.float64,0x229914da45323,0xc073485979ff141c,1 +np.float64,0x3fe142f92da285f2,0xbfd1280909992cb6,1 +np.float64,0xf1d02fa9e3a06,0xc0733ad6b19d71a0,1 +np.float64,0x3fb1fe9b0023fd36,0xbff27317d8252c16,1 +np.float64,0x3fa544b9242a8972,0xbff61ac38569bcfc,1 +np.float64,0x3feeb129d4fd6254,0xbf928f23ad20c1ee,1 +np.float64,0xa2510b7f44a22,0xc0733d9bc81ea0a1,1 +np.float64,0x3fca75694d34ead3,0xbfe5e8975b3646c2,1 +np.float64,0x7fece10621b9c20b,0x4073435cc3dd9a1b,1 +np.float64,0x7fe98a57d3b314af,0x4073428239b6a135,1 +np.float64,0x3fe259c62a64b38c,0xbfcee96682a0f355,1 +np.float64,0x3feaaa9b9d755537,0xbfb445779f3359af,1 +np.float64,0xdaadecfdb55be,0xc0733b899338432a,1 +np.float64,0x3fed00eae4fa01d6,0xbfa5dc8d77be5991,1 +np.float64,0x7fcc96c773392d8e,0x407339a8c5cd786e,1 +np.float64,0x3fef7b8b203ef716,0xbf7cff655ecb6424,1 +np.float64,0x7fd4008113a80101,0x40733bfe6552acb7,1 +np.float64,0x7fe99ff035b33fdf,0x407342881753ee2e,1 +np.float64,0x3ee031e87dc07,0xc0734432d736e492,1 +np.float64,0x3fddfe390f3bfc72,0xbfd510f1d9ec3e36,1 +np.float64,0x3fd9ddce74b3bb9d,0xbfd92e2d75a061bb,1 +np.float64,0x7fe5f742edebee85,0x40734176058e3a77,1 +np.float64,0x3fdb04185b360831,0xbfd7f8c63aa5e1c4,1 +np.float64,0xea2b0f43d4562,0xc0733b0fd77c8118,1 +np.float64,0x7fc3f4973527e92d,0x407337293bbb22c4,1 +np.float64,0x3fb9adfb38335bf6,0xbfeff4f3ea85821a,1 +np.float64,0x87fb98750ff73,0xc0733ed6ad83c269,1 +np.float64,0x3fe005721a200ae4,0xbfd33a9f1ebfb0ac,1 +np.float64,0xd9e04fe7b3c0a,0xc0733b901ee257f3,1 +np.float64,0x2c39102658723,0xc07346a4db63bf55,1 +np.float64,0x3f7dc28e003b851c,0xc0011c1d1233d948,1 +np.float64,0x3430fd3868620,0xc073457e24e0b70d,1 +np.float64,0xbff0000000000000,0x7ff8000000000000,1 +np.float64,0x3fd23e45e0247c8c,0xbfe17146bcf87b57,1 +np.float64,0x6599df3ecb33d,0xc07340dd2c41644c,1 +np.float64,0x3fdf074f31be0e9e,0xbfd41f6e9dbb68a5,1 +np.float64,0x7fdd6233f3bac467,0x40733eaa8f674b72,1 +np.float64,0x7fe03e8481607d08,0x40733f5d3df3b087,1 +np.float64,0x3fcc3b79f13876f4,0xbfe501bf3b379b77,1 +np.float64,0xe5d97ae3cbb30,0xc0733b30f47cbd12,1 +np.float64,0x8acbc4a115979,0xc0733eb240a4d2c6,1 +np.float64,0x3fedbdbc48bb7b79,0xbfa0470fd70c4359,1 +np.float64,0x3fde1611103c2c22,0xbfd4fae1fa8e7e5e,1 +np.float64,0x3fe09478bd2128f1,0xbfd246b7e85711dc,1 +np.float64,0x3fd6dfe8f3adbfd2,0xbfdc98ca2f32c1ad,1 +np.float64,0x72ccf274e599f,0xc0734003e5b0da63,1 +np.float64,0xe27c7265c4f8f,0xc0733b4b2d808566,1 +np.float64,0x7fee3161703c62c2,0x407343abe90f5649,1 +np.float64,0xf54fb5c1eaa0,0xc0734e01384fcf78,1 +np.float64,0xcde5924d9bcb3,0xc0733bf4b83c66c2,1 +np.float64,0x3fc46fdbe528dfb8,0xbfe97f55ef5e9683,1 +np.float64,0x7fe513528a2a26a4,0x4073412c69baceca,1 +np.float64,0x3fd29eca4aa53d95,0xbfe128801cd33ed0,1 +np.float64,0x7febb21718b7642d,0x4073431256def857,1 +np.float64,0x3fcab536c0356a6e,0xbfe5c73c59f41578,1 +np.float64,0x7fc7e9f0d82fd3e1,0x4073386b213e5dfe,1 +np.float64,0xb5b121276b624,0xc0733cd33083941c,1 +np.float64,0x7e0dd9bcfc1bc,0xc0733f5d8bf35050,1 +np.float64,0x3fd1c75106238ea2,0xbfe1cd11cccda0f4,1 +np.float64,0x9f060e673e0c2,0xc0733dc03da71909,1 +np.float64,0x7fd915a2f3322b45,0x40733d912af07189,1 +np.float64,0x3fd8cbae4431975d,0xbfda5b02ca661139,1 +np.float64,0x3fde8b411f3d1682,0xbfd48f6f710a53b6,1 +np.float64,0x3fc17a780622f4f0,0xbfebabb10c55255f,1 +np.float64,0x3fde5cbe5f3cb97d,0xbfd4b9e2e0101fb1,1 +np.float64,0x7fd859036530b206,0x40733d5c2252ff81,1 +np.float64,0xb0f5040f61ea1,0xc0733d02292f527b,1 +np.float64,0x3fde5c49ae3cb893,0xbfd4ba4db3ce2cf3,1 +np.float64,0x3fecc4518df988a3,0xbfa7af0bfc98bc65,1 +np.float64,0x3feffee03cbffdc0,0xbf0f3ede6ca7d695,1 +np.float64,0xbc5eac9b78bd6,0xc0733c92fb51c8ae,1 +np.float64,0x3fe2bb4ef765769e,0xbfcdc4f70a65dadc,1 +np.float64,0x5089443ca1129,0xc073427a7d0cde4a,1 +np.float64,0x3fd0d6e29121adc5,0xbfe28e28ece1db86,1 +np.float64,0xbe171e397c2e4,0xc0733c82cede5d02,1 +np.float64,0x4ede27be9dbc6,0xc073429fba1a4af1,1 +np.float64,0x3fe2aff3af655fe7,0xbfcde6b52a8ed3c1,1 +np.float64,0x7fd85ca295b0b944,0x40733d5d2adcccf1,1 +np.float64,0x24919bba49234,0xc07347f6ed704a6f,1 +np.float64,0x7fd74bc1eeae9783,0x40733d0d94a89011,1 +np.float64,0x3fc1cd12cb239a26,0xbfeb6a9c25c2a11d,1 +np.float64,0x3fdafbc0ac35f781,0xbfd8015ccf1f1b51,1 +np.float64,0x3fee01327c3c0265,0xbf9ca1d0d762dc18,1 +np.float64,0x3fe65bd7702cb7af,0xbfc3ee0de5c36b8d,1 +np.float64,0x7349c82ee693a,0xc0733ffc5b6eccf2,1 +np.float64,0x3fdc5906f738b20e,0xbfd6a26288eb5933,1 +np.float64,0x1,0xc07434e6420f4374,1 +np.float64,0x3fb966128a32cc25,0xbff00e0aa7273838,1 +np.float64,0x3fd501ff9a2a03ff,0xbfdef69133482121,1 +np.float64,0x194d4f3c329ab,0xc0734a861b44cfbe,1 +np.float64,0x3fec5d34f8f8ba6a,0xbfaad1b31510e70b,1 +np.float64,0x1635e4c22c6be,0xc0734b6dec650943,1 +np.float64,0x3fead2f8edb5a5f2,0xbfb39dac30a962cf,1 +np.float64,0x3f7dfa4ce03bf49a,0xc00115a112141aa7,1 +np.float64,0x3fef6827223ed04e,0xbf80a42c9edebfe9,1 +np.float64,0xe771f303cee3f,0xc0733b24a6269fe4,1 +np.float64,0x1160ccc622c1b,0xc0734d22604eacb9,1 +np.float64,0x3fc485cd08290b9a,0xbfe970723008c8c9,1 +np.float64,0x7fef99c518bf3389,0x407343fcf9ed202f,1 +np.float64,0x7fd8c1447a318288,0x40733d79a440b44d,1 +np.float64,0xaf219f955e434,0xc0733d149c13f440,1 +np.float64,0xcf45f6239e8bf,0xc0733be8ddda045d,1 +np.float64,0x7599394aeb328,0xc0733fd90fdbb0ea,1 +np.float64,0xc7f6390f8fec7,0xc0733c28bfbc66a3,1 +np.float64,0x3fd39ae96c2735d3,0xbfe0712274a8742b,1 +np.float64,0xa4d6c18f49ad8,0xc0733d805a0528f7,1 +np.float64,0x7fd9ea78d7b3d4f1,0x40733dcb2b74802a,1 +np.float64,0x3fecd251cb39a4a4,0xbfa742ed41d4ae57,1 +np.float64,0x7fed7a07cd7af40f,0x407343813476027e,1 +np.float64,0x3fd328ae7f26515d,0xbfe0c30b56a83c64,1 +np.float64,0x7fc937ff7a326ffe,0x407338c9a45b9140,1 +np.float64,0x3fcf1d31143e3a62,0xbfe3a7f760fbd6a8,1 +np.float64,0x7fb911dcbc3223b8,0x407333ee158cccc7,1 +np.float64,0x3fd352fc83a6a5f9,0xbfe0a47d2f74d283,1 +np.float64,0x7fd310753fa620e9,0x40733ba8fc4300dd,1 +np.float64,0x3febd64b4577ac97,0xbfaefd4a79f95c4b,1 +np.float64,0x6a6961a4d4d2d,0xc073408ae1687943,1 +np.float64,0x3fe4ba73d16974e8,0xbfc8239341b9e457,1 +np.float64,0x3fed8e7cac3b1cf9,0xbfa1a96a0cc5fcdc,1 +np.float64,0x7fd505ec04aa0bd7,0x40733c56f86e3531,1 +np.float64,0x3fdf166e9abe2cdd,0xbfd411e5f8569d70,1 +np.float64,0x7fe1bc6434e378c7,0x40733ff9861bdabb,1 +np.float64,0x3fd3b0b175a76163,0xbfe061ba5703f3c8,1 +np.float64,0x7fed75d7ffbaebaf,0x4073438037ba6f19,1 +np.float64,0x5a9e109cb53c3,0xc07341a8b04819c8,1 +np.float64,0x3fe14786b4e28f0d,0xbfd120b541bb880e,1 +np.float64,0x3fed4948573a9291,0xbfa3b471ff91614b,1 +np.float64,0x66aac5d8cd559,0xc07340ca9b18af46,1 +np.float64,0x3fdb48efd23691e0,0xbfd7b24c5694838b,1 +np.float64,0x7fe6da7d1eadb4f9,0x407341bc7d1fae43,1 +np.float64,0x7feb702cf336e059,0x40734301b96cc3c0,1 +np.float64,0x3fd1e60987a3cc13,0xbfe1b522cfcc3d0e,1 +np.float64,0x3feca57f50794aff,0xbfa89dc90625d39c,1 +np.float64,0x7fdc46dc56b88db8,0x40733e664294a0f9,1 +np.float64,0x8dc8fd811b920,0xc0733e8c5955df06,1 +np.float64,0xf01634abe02c7,0xc0733ae370a76d0c,1 +np.float64,0x3fc6f8d8ab2df1b1,0xbfe7df5093829464,1 +np.float64,0xda3d7597b47af,0xc0733b8d2702727a,1 +np.float64,0x7feefd53227dfaa5,0x407343da3d04db28,1 +np.float64,0x3fe2fbca3525f794,0xbfcd06e134417c08,1 +np.float64,0x7fd36d3ce226da79,0x40733bca7c322df1,1 +np.float64,0x7fec37e00b786fbf,0x4073433397b48a5b,1 +np.float64,0x3fbf133f163e267e,0xbfed4e72f1362a77,1 +np.float64,0x3fc11efbb9223df7,0xbfebf53002a561fe,1 +np.float64,0x3fc89c0e5431381d,0xbfe6ea562364bf81,1 +np.float64,0x3f9cd45da839a8bb,0xbff8ceb14669ee4b,1 +np.float64,0x23dc8fa647b93,0xc0734819aaa9b0ee,1 +np.float64,0x3fe829110d305222,0xbfbf3e60c45e2399,1 +np.float64,0x7fed8144e57b0289,0x40734382e917a02a,1 +np.float64,0x7fe033fbf7a067f7,0x40733f58bb00b20f,1 +np.float64,0xe3807f45c7010,0xc0733b43379415d1,1 +np.float64,0x3fd708fb342e11f6,0xbfdc670ef9793782,1 +np.float64,0x3fe88c924b311925,0xbfbd78210d9e7164,1 +np.float64,0x3fe0a2a7c7614550,0xbfd22efaf0472c4a,1 +np.float64,0x7fe3a37501a746e9,0x407340aecaeade41,1 +np.float64,0x3fd05077ec20a0f0,0xbfe2fedbf07a5302,1 +np.float64,0x7fd33bf61da677eb,0x40733bb8c58912aa,1 +np.float64,0x3feb29bdae76537b,0xbfb2384a8f61b5f9,1 +np.float64,0x3fec0fc14ff81f83,0xbfad3423e7ade174,1 +np.float64,0x3fd0f8b1a1a1f163,0xbfe2725dd4ccea8b,1 +np.float64,0x3fe382d26a6705a5,0xbfcb80dba4218bdf,1 +np.float64,0x3fa873f2cc30e7e6,0xbff522911cb34279,1 +np.float64,0x7fed7fd7377affad,0x4073438292f6829b,1 +np.float64,0x3feeacd8067d59b0,0xbf92cdbeda94b35e,1 +np.float64,0x7fe464d62228c9ab,0x407340f1eee19aa9,1 +np.float64,0xe997648bd32ed,0xc0733b143aa0fad3,1 +np.float64,0x7fea4869f13490d3,0x407342b5333b54f7,1 +np.float64,0x935b871926b71,0xc0733e47c6683319,1 +np.float64,0x28a9d0c05155,0xc0735a7e3532af83,1 +np.float64,0x79026548f204d,0xc0733fa6339ffa2f,1 +np.float64,0x3fdb1daaabb63b55,0xbfd7de839c240ace,1 +np.float64,0x3fc0db73b421b6e7,0xbfec2c6e36c4f416,1 +np.float64,0xb8b50ac1716b,0xc0734ff9fc60ebce,1 +np.float64,0x7fdf13e0c6be27c1,0x40733f0e44f69437,1 +np.float64,0x3fcd0cb97b3a1973,0xbfe49c34ff531273,1 +np.float64,0x3fcbac034b375807,0xbfe54913d73f180d,1 +np.float64,0x3fe091d2a2e123a5,0xbfd24b290a9218de,1 +np.float64,0xede43627dbc87,0xc0733af3c7c7f716,1 +np.float64,0x7fc037e7ed206fcf,0x407335b85fb0fedb,1 +np.float64,0x3fce7ae4c63cf5ca,0xbfe3f1350fe03f28,1 +np.float64,0x7fcdd862263bb0c3,0x407339f5458bb20e,1 +np.float64,0x4d7adf709af5d,0xc07342bf4edfadb2,1 +np.float64,0xdc6c03f3b8d81,0xc0733b7b74d6a635,1 +np.float64,0x3fe72ae0a4ee55c1,0xbfc1f4665608b21f,1 +np.float64,0xcd62f19d9ac5e,0xc0733bf92235e4d8,1 +np.float64,0xe3a7b8fdc74f7,0xc0733b4204f8e166,1 +np.float64,0x3fdafd35adb5fa6b,0xbfd7ffdca0753b36,1 +np.float64,0x3fa023e8702047d1,0xbff8059150ea1464,1 +np.float64,0x99ff336933fe7,0xc0733df961197517,1 +np.float64,0x7feeb365b9bd66ca,0x407343c995864091,1 +np.float64,0x7fe449b49f689368,0x407340e8aa3369e3,1 +np.float64,0x7faf5843043eb085,0x407330aa700136ca,1 +np.float64,0x3fd47b2922a8f652,0xbfdfab3de86f09ee,1 +np.float64,0x7fd9fc3248b3f864,0x40733dcfea6f9b3e,1 +np.float64,0xe20b0d8dc4162,0xc0733b4ea8fe7b3f,1 +np.float64,0x7feff8e0e23ff1c1,0x40734411c490ed70,1 +np.float64,0x7fa58382d02b0705,0x40732e0cf28e14fe,1 +np.float64,0xb8ad9a1b715b4,0xc0733cb630b8f2d4,1 +np.float64,0xe90abcf1d2158,0xc0733b186b04eeee,1 +np.float64,0x7fd6aa6f32ad54dd,0x40733cdccc636604,1 +np.float64,0x3fd8f84eedb1f09e,0xbfda292909a5298a,1 +np.float64,0x7fecd6b1d9f9ad63,0x4073435a472b05b5,1 +np.float64,0x3fd9f47604b3e8ec,0xbfd915e028cbf4a6,1 +np.float64,0x3fd20d9398241b27,0xbfe19691363dd508,1 +np.float64,0x3fe5ed09bbabda13,0xbfc5043dfc9c8081,1 +np.float64,0x7fbe5265363ca4c9,0x407335406f8e4fac,1 +np.float64,0xac2878af5850f,0xc0733d3311be9786,1 +np.float64,0xac2074555840f,0xc0733d3364970018,1 +np.float64,0x3fcd49b96b3a9373,0xbfe47f24c8181d9c,1 +np.float64,0x3fd10caca6a21959,0xbfe2620ae5594f9a,1 +np.float64,0xec5b87e9d8b71,0xc0733aff499e72ca,1 +np.float64,0x9d5e9fad3abd4,0xc0733dd2d70eeb4a,1 +np.float64,0x7fe3d3a24227a744,0x407340bfc2072fdb,1 +np.float64,0x3fc5f7a77c2bef4f,0xbfe87e69d502d784,1 +np.float64,0x33161a66662c4,0xc07345a436308244,1 +np.float64,0xa27acdc744f5a,0xc0733d99feb3d8ea,1 +np.float64,0x3fe2d9301565b260,0xbfcd6c914e204437,1 +np.float64,0x7fd5d111e12ba223,0x40733c98e14a6fd0,1 +np.float64,0x6c3387bed8672,0xc073406d3648171a,1 +np.float64,0x24d89fe849b15,0xc07347e97bec008c,1 +np.float64,0x3fefd763677faec7,0xbf61ae69caa9cad9,1 +np.float64,0x7fe0a4684ba148d0,0x40733f884d32c464,1 +np.float64,0x3fd5c3c939ab8792,0xbfddfaaefc1c7fca,1 +np.float64,0x3fec9b87a6b9370f,0xbfa8eb34efcc6b9b,1 +np.float64,0x3feb062431f60c48,0xbfb2ca6036698877,1 +np.float64,0x3fef97f6633f2fed,0xbf76bc742860a340,1 +np.float64,0x74477490e88ef,0xc0733fed220986bc,1 +np.float64,0x3fe4bea67ce97d4d,0xbfc818525292b0f6,1 +np.float64,0x3fc6add3a92d5ba7,0xbfe80cfdc9a90bda,1 +np.float64,0x847c9ce308f94,0xc0733f05026f5965,1 +np.float64,0x7fea53fd2eb4a7f9,0x407342b841fc4723,1 +np.float64,0x3fc55a16fc2ab42e,0xbfe8e3849130da34,1 +np.float64,0x3fbdf7d07c3befa1,0xbfedcf84b9c6c161,1 +np.float64,0x3fe5fb25aa6bf64b,0xbfc4e083ff96b116,1 +np.float64,0x61c776a8c38ef,0xc0734121611d84d7,1 +np.float64,0x3fec413164f88263,0xbfabadbd05131546,1 +np.float64,0x9bf06fe137e0e,0xc0733de315469ee0,1 +np.float64,0x2075eefc40ebf,0xc07348cae84de924,1 +np.float64,0x3fdd42e0143a85c0,0xbfd5c0b6f60b3cea,1 +np.float64,0xdbb1ab45b7636,0xc0733b8157329daf,1 +np.float64,0x3feac6d56bf58dab,0xbfb3d00771b28621,1 +np.float64,0x7fb2dc825025b904,0x407331f3e950751a,1 +np.float64,0x3fecea6efd79d4de,0xbfa689309cc0e3fe,1 +np.float64,0x3fd83abec7b0757e,0xbfdaff5c674a9c59,1 +np.float64,0x3fd396f7c0272df0,0xbfe073ee75c414ba,1 +np.float64,0x3fe10036c162006e,0xbfd1945a38342ae1,1 +np.float64,0x3fd5bbded52b77be,0xbfde04cca40d4156,1 +np.float64,0x3fe870945ab0e129,0xbfbdf72f0e6206fa,1 +np.float64,0x3fef72fddcbee5fc,0xbf7ee2dba88b1bad,1 +np.float64,0x4e111aa09c224,0xc07342b1e2b29643,1 +np.float64,0x3fd926d8b5b24db1,0xbfd9f58b78d6b061,1 +np.float64,0x3fc55679172aacf2,0xbfe8e5df687842e2,1 +np.float64,0x7f5f1749803e2e92,0x40731886e16cfc4d,1 +np.float64,0x7fea082b53b41056,0x407342a42227700e,1 +np.float64,0x3fece1d1d039c3a4,0xbfa6cb780988a469,1 +np.float64,0x3b2721d8764e5,0xc073449f6a5a4832,1 +np.float64,0x365cb7006cba,0xc0735879ba5f0b6e,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0x7fe606ce92ac0d9c,0x4073417aeebe97e8,1 +np.float64,0x3fe237b544a46f6b,0xbfcf50f8f76d7df9,1 +np.float64,0x3fe7265e5eee4cbd,0xbfc1ff39089ec8d0,1 +np.float64,0x7fe2bb3c5ea57678,0x4073405aaad81cf2,1 +np.float64,0x3fd811df84b023bf,0xbfdb2e670ea8d8de,1 +np.float64,0x3f6a0efd00341dfa,0xc003fac1ae831241,1 +np.float64,0x3fd0d214afa1a429,0xbfe2922080a91c72,1 +np.float64,0x3feca6a350b94d47,0xbfa894eea3a96809,1 +np.float64,0x7fe23e5c76247cb8,0x4073402bbaaf71c7,1 +np.float64,0x3fe739a1fdae7344,0xbfc1d109f66efb5d,1 +np.float64,0x3fdf4b8e283e971c,0xbfd3e28f46169cc5,1 +np.float64,0x38f2535271e4b,0xc07344e3085219fa,1 +np.float64,0x7fd263a0f9a4c741,0x40733b68d945dae0,1 +np.float64,0x7fdd941863bb2830,0x40733eb651e3dca9,1 +np.float64,0xace7279159ce5,0xc0733d2b63b5947e,1 +np.float64,0x7fe34670b2268ce0,0x4073408d92770cb5,1 +np.float64,0x7fd11fa6dfa23f4d,0x40733aea02e76ea3,1 +np.float64,0x3fe6d9cbca6db398,0xbfc2b84b5c8c7eab,1 +np.float64,0x3fd69a0274ad3405,0xbfdcee3c7e52c463,1 +np.float64,0x3feb5af671f6b5ed,0xbfb16f88d739477f,1 +np.float64,0x3feea400163d4800,0xbf934e071c64fd0b,1 +np.float64,0x3fefd6bcf17fad7a,0xbf61f711c392b119,1 +np.float64,0x3fe148d43da291a8,0xbfd11e9cd3f91cd3,1 +np.float64,0x7fedf1308b7be260,0x4073439d135656da,1 +np.float64,0x3fe614c99c6c2993,0xbfc49fd1984dfd6d,1 +np.float64,0xd6e8d4e5add1b,0xc0733ba88256026e,1 +np.float64,0xfff0000000000000,0x7ff8000000000000,1 +np.float64,0x3fb530b5562a616b,0xbff1504bcc5c8f73,1 +np.float64,0xb7da68396fb4d,0xc0733cbe2790f52e,1 +np.float64,0x7fad78e26c3af1c4,0x4073303cdbfb0a15,1 +np.float64,0x7fee5698447cad30,0x407343b474573a8b,1 +np.float64,0x3fd488325c291065,0xbfdf999296d901e7,1 +np.float64,0x2669283a4cd26,0xc073479f823109a4,1 +np.float64,0x7fef3b090afe7611,0x407343e805a3b264,1 +np.float64,0x7fe8b96ae0f172d5,0x4073424874a342ab,1 +np.float64,0x7fef409f56fe813e,0x407343e943c3cd44,1 +np.float64,0x3fed28073dfa500e,0xbfa4b17e4cd31a3a,1 +np.float64,0x7f87ecc4802fd988,0x40732527e027b24b,1 +np.float64,0x3fdda24da0bb449b,0xbfd566a43ac035af,1 +np.float64,0x179fc9e62f3fa,0xc0734b0028c80fc1,1 +np.float64,0x3fef85b0927f0b61,0xbf7ac27565d5ab4f,1 +np.float64,0x5631501aac62b,0xc0734201be12c5d4,1 +np.float64,0x3fd782e424af05c8,0xbfdbd57544f8a7c3,1 +np.float64,0x3fe603a9a6ac0753,0xbfc4caff04dc3caf,1 +np.float64,0x7fbd5225163aa449,0x40733504b88f0a56,1 +np.float64,0x3fecd27506b9a4ea,0xbfa741dd70e6b08c,1 +np.float64,0x9c99603b3932c,0xc0733ddb922dc5db,1 +np.float64,0x3fbeb57f1a3d6afe,0xbfed789ff217aa08,1 +np.float64,0x3fef9c0f85bf381f,0xbf75d5c3d6cb281a,1 +np.float64,0x3fde4afb613c95f7,0xbfd4ca2a231c9005,1 +np.float64,0x396233d472c47,0xc07344d56ee70631,1 +np.float64,0x3fb31ea1c6263d44,0xbff207356152138d,1 +np.float64,0x3fe50bdf78aa17bf,0xbfc74ae0cbffb735,1 +np.float64,0xef74c701dee99,0xc0733ae81e4bb443,1 +np.float64,0x9a3e13a1347c3,0xc0733df68b60afc7,1 +np.float64,0x33ba4f886774b,0xc073458e03f0c13e,1 +np.float64,0x3fe8ba0e9931741d,0xbfbcaadf974e8f64,1 +np.float64,0x3fe090a4cd61214a,0xbfd24d236cf365d6,1 +np.float64,0x7fd87d992930fb31,0x40733d668b73b820,1 +np.float64,0x3fe6422b296c8456,0xbfc42e070b695d01,1 +np.float64,0x3febe9334677d267,0xbfae667864606cfe,1 +np.float64,0x771a3ce4ee348,0xc0733fc274d12c97,1 +np.float64,0x3fe0413542e0826b,0xbfd2d3b08fb5b8a6,1 +np.float64,0x3fd00870ea2010e2,0xbfe33cc04cbd42e0,1 +np.float64,0x3fe74fb817ae9f70,0xbfc19c45dbf919e1,1 +np.float64,0x40382fa08071,0xc07357514ced5577,1 +np.float64,0xa14968474292d,0xc0733da71a990f3a,1 +np.float64,0x5487c740a90fa,0xc0734224622d5801,1 +np.float64,0x3fed7d8d14fafb1a,0xbfa228f7ecc2ac03,1 +np.float64,0x3fe39bb485e73769,0xbfcb3a235a722960,1 +np.float64,0x3fd01090b2202121,0xbfe335b752589a22,1 +np.float64,0x3fd21a3e7da4347d,0xbfe18cd435a7c582,1 +np.float64,0x3fe7fa855a2ff50b,0xbfc00ab0665709fe,1 +np.float64,0x3fedc0d4577b81a9,0xbfa02fef3ff553fc,1 +np.float64,0x3fe99d4906333a92,0xbfb8bf18220e5e8e,1 +np.float64,0x3fd944ee3c3289dc,0xbfd9d46071675e73,1 +np.float64,0x3fe3ed8d52e7db1b,0xbfca53f8d4aef484,1 +np.float64,0x7fe748623a6e90c3,0x407341dd97c9dd79,1 +np.float64,0x3fea1b4b98343697,0xbfb6a1560a56927f,1 +np.float64,0xe1215715c242b,0xc0733b55dbf1f0a8,1 +np.float64,0x3fd0d5bccca1ab7a,0xbfe28f1b66d7a470,1 +np.float64,0x881a962710353,0xc0733ed51848a30d,1 +np.float64,0x3fcf022afe3e0456,0xbfe3b40eabf24501,1 +np.float64,0x3fdf1ac6bbbe358d,0xbfd40e03e888288d,1 +np.float64,0x3fa51a5eac2a34bd,0xbff628a7c34d51b3,1 +np.float64,0x3fdbaf408d375e81,0xbfd74ad39d97c92a,1 +np.float64,0x3fcd2418ea3a4832,0xbfe4910b009d8b11,1 +np.float64,0x3fc7b3062a2f660c,0xbfe7706dc47993e1,1 +np.float64,0x7fb8232218304643,0x407333aaa7041a9f,1 +np.float64,0x7fd5f186362be30b,0x40733ca32fdf9cc6,1 +np.float64,0x3fe57ef1d6aafde4,0xbfc61e23d00210c7,1 +np.float64,0x7c6830baf8d07,0xc0733f74f19e9dad,1 +np.float64,0xcacbfd5595980,0xc0733c0fb49edca7,1 +np.float64,0x3fdfdeac873fbd59,0xbfd36114c56bed03,1 +np.float64,0x3fd31f0889263e11,0xbfe0ca0cc1250169,1 +np.float64,0x3fe839fbe47073f8,0xbfbef0a2abc3d63f,1 +np.float64,0x3fc36af57e26d5eb,0xbfea3553f38770b7,1 +np.float64,0x3fe73dbc44ee7b79,0xbfc1c738f8fa6b3d,1 +np.float64,0x3fd3760e4da6ec1d,0xbfe08b5b609d11e5,1 +np.float64,0x3fee1cfa297c39f4,0xbf9b06d081bc9d5b,1 +np.float64,0xdfb01561bf61,0xc0734ea55e559888,1 +np.float64,0x687bd01cd0f7b,0xc07340ab67fe1816,1 +np.float64,0x3fefc88f4cbf911f,0xbf6828c359cf19dc,1 +np.float64,0x8ad34adb15a6a,0xc0733eb1e03811e5,1 +np.float64,0x3fe2b49c12e56938,0xbfcdd8dbdbc0ce59,1 +np.float64,0x6e05037adc0a1,0xc073404f91261635,1 +np.float64,0x3fe2fd737fe5fae7,0xbfcd020407ef4d78,1 +np.float64,0x3fd0f3c0dc21e782,0xbfe2766a1ab02eae,1 +np.float64,0x28564d9850acb,0xc073474875f87c5e,1 +np.float64,0x3fe4758015a8eb00,0xbfc8ddb45134a1bd,1 +np.float64,0x7fe7f19306efe325,0x4073420f626141a7,1 +np.float64,0x7fd27f34c0a4fe69,0x40733b733d2a5b50,1 +np.float64,0x92c2366325847,0xc0733e4f04f8195a,1 +np.float64,0x3fc21f8441243f09,0xbfeb2ad23bc1ab0b,1 +np.float64,0x3fc721d3e42e43a8,0xbfe7c69bb47b40c2,1 +np.float64,0x3fe2f11a1625e234,0xbfcd26363b9c36c3,1 +np.float64,0x3fdcb585acb96b0b,0xbfd648446237cb55,1 +np.float64,0x3fd4060bf2280c18,0xbfe025fd4c8a658b,1 +np.float64,0x7fb8ae2750315c4e,0x407333d23b025d08,1 +np.float64,0x3fe3a03119a74062,0xbfcb2d6c91b38552,1 +np.float64,0x7fdd2af92bba55f1,0x40733e9d737e16e6,1 +np.float64,0x3fe50b05862a160b,0xbfc74d20815fe36b,1 +np.float64,0x164409f82c882,0xc0734b6980e19c03,1 +np.float64,0x3fe4093712a8126e,0xbfca070367fda5e3,1 +np.float64,0xae3049935c609,0xc0733d1e3608797b,1 +np.float64,0x3fd71df4b4ae3be9,0xbfdc4dcb7637600d,1 +np.float64,0x7fca01e8023403cf,0x407339006c521c49,1 +np.float64,0x3fb0c5c43e218b88,0xbff2f03211c63f25,1 +np.float64,0x3fee757af83ceaf6,0xbf95f33a6e56b454,1 +np.float64,0x3f865f1f402cbe3f,0xbfff62d9c9072bd7,1 +np.float64,0x89864e95130ca,0xc0733ec29f1e32c6,1 +np.float64,0x3fe51482bcea2905,0xbfc73414ddc8f1b7,1 +np.float64,0x7fd802f8fa3005f1,0x40733d43684e460a,1 +np.float64,0x3fbeb86ca63d70d9,0xbfed774ccca9b8f5,1 +np.float64,0x3fb355dcc826abba,0xbff1f33f9339e7a3,1 +np.float64,0x3fe506c61eaa0d8c,0xbfc7585a3f7565a6,1 +np.float64,0x7fe393f25ba727e4,0x407340a94bcea73b,1 +np.float64,0xf66f532decdeb,0xc0733ab5041feb0f,1 +np.float64,0x3fe26e872be4dd0e,0xbfceaaab466f32e0,1 +np.float64,0x3fefd9e290bfb3c5,0xbf60977d24496295,1 +np.float64,0x7fe19c5f692338be,0x40733fecef53ad95,1 +np.float64,0x3fe80365ab3006cb,0xbfbfec4090ef76ec,1 +np.float64,0x3fe88ab39eb11567,0xbfbd8099388d054d,1 +np.float64,0x3fe68fb09fad1f61,0xbfc36db9de38c2c0,1 +np.float64,0x3fe9051883b20a31,0xbfbb5b75b8cb8f24,1 +np.float64,0x3fd4708683a8e10d,0xbfdfb9b085dd8a83,1 +np.float64,0x3fe00ac11a601582,0xbfd3316af3e43500,1 +np.float64,0xd16af30ba2d5f,0xc0733bd68e8252f9,1 +np.float64,0x3fb97d654632facb,0xbff007ac1257f575,1 +np.float64,0x7fd637c10fac6f81,0x40733cb949d76546,1 +np.float64,0x7fed2cab6dba5956,0x4073436edfc3764e,1 +np.float64,0x3fed04afbbba095f,0xbfa5bfaa5074b7f4,1 +np.float64,0x0,0xfff0000000000000,1 +np.float64,0x389a1dc671345,0xc07344edd4206338,1 +np.float64,0x3fbc9ba25a393745,0xbfee74c34f49b921,1 +np.float64,0x3feee749947dce93,0xbf8f032d9cf6b5ae,1 +np.float64,0xedc4cf89db89a,0xc0733af4b2a57920,1 +np.float64,0x3fe41629eba82c54,0xbfc9e321faf79e1c,1 +np.float64,0x3feb0bcbf7b61798,0xbfb2b31e5d952869,1 +np.float64,0xad60654b5ac0d,0xc0733d26860df676,1 +np.float64,0x3fe154e1ff22a9c4,0xbfd10b416e58c867,1 +np.float64,0x7fb20e9c8a241d38,0x407331a66453b8bc,1 +np.float64,0x7fcbbaaf7d37755e,0x4073397274f28008,1 +np.float64,0x187d0fbc30fa3,0xc0734ac03cc98cc9,1 +np.float64,0x7fd153afeaa2a75f,0x40733aff00b4311d,1 +np.float64,0x3fe05310a5e0a621,0xbfd2b5386aeecaac,1 +np.float64,0x7fea863b2b750c75,0x407342c57807f700,1 +np.float64,0x3fed5f0c633abe19,0xbfa30f6cfbc4bf94,1 +np.float64,0xf227c8b3e44f9,0xc0733ad42daaec9f,1 +np.float64,0x3fe956524772aca5,0xbfb9f4cabed7081d,1 +np.float64,0xefd11af7dfa24,0xc0733ae570ed2552,1 +np.float64,0x1690fff02d221,0xc0734b51a56c2980,1 +np.float64,0x7fd2e547a825ca8e,0x40733b992d6d9635,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log1p.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log1p.csv new file mode 100644 index 0000000000000000000000000000000000000000..094e052a5070637a264cbb2f4a722f9fbf2e4906 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log1p.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0x3e10aca8,0x3e075347,2 +np.float32,0x3f776e66,0x3f2d2003,2 +np.float32,0xbf34e8ce,0xbf9cfd5c,2 +np.float32,0xbf0260ee,0xbf363f69,2 +np.float32,0x3ed285e8,0x3eb05870,2 +np.float32,0x262b88,0x262b88,2 +np.float32,0x3eeffd6c,0x3ec4cfdb,2 +np.float32,0x3ee86808,0x3ebf9f54,2 +np.float32,0x3f36eba8,0x3f0a0524,2 +np.float32,0xbf1c047a,0xbf70afc7,2 +np.float32,0x3ead2916,0x3e952902,2 +np.float32,0x61c9c9,0x61c9c9,2 +np.float32,0xff7fffff,0xffc00000,2 +np.float32,0x7f64ee52,0x42b138e0,2 +np.float32,0x7ed00b1e,0x42afa4ff,2 +np.float32,0x3db53340,0x3dada0b2,2 +np.float32,0x3e6b0a4a,0x3e5397a4,2 +np.float32,0x7ed5d64f,0x42afb310,2 +np.float32,0xbf12bc5f,0xbf59f5ee,2 +np.float32,0xbda12710,0xbda7d8b5,2 +np.float32,0xbe2e89d8,0xbe3f5a9f,2 +np.float32,0x3f5bee75,0x3f1ebea4,2 +np.float32,0x9317a,0x9317a,2 +np.float32,0x7ee00130,0x42afcad8,2 +np.float32,0x7ef0d16d,0x42afefe7,2 +np.float32,0xbec7463a,0xbefc6a44,2 +np.float32,0xbf760ecc,0xc04fe59c,2 +np.float32,0xbecacb3c,0xbf011ae3,2 +np.float32,0x3ead92be,0x3e9577f0,2 +np.float32,0xbf41510d,0xbfb41b3a,2 +np.float32,0x7f71d489,0x42b154f1,2 +np.float32,0x8023bcd5,0x8023bcd5,2 +np.float32,0x801d33d8,0x801d33d8,2 +np.float32,0x3f3f545d,0x3f0ee0d4,2 +np.float32,0xbf700682,0xc0318c25,2 +np.float32,0xbe54e990,0xbe6eb0a3,2 +np.float32,0x7f0289bf,0x42b01941,2 +np.float32,0xbd61ac90,0xbd682113,2 +np.float32,0xbf2ff310,0xbf94cd6f,2 +np.float32,0x7f10064a,0x42b04b98,2 +np.float32,0x804d0d6d,0x804d0d6d,2 +np.float32,0x80317b0a,0x80317b0a,2 +np.float32,0xbddfef18,0xbded2640,2 +np.float32,0x3f00c9ab,0x3ed0a5bd,2 +np.float32,0x7f04b905,0x42b021c1,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0x6524c4,0x6524c4,2 +np.float32,0x3da08ae0,0x3d9a8f88,2 +np.float32,0x293ea9,0x293ea9,2 +np.float32,0x71499e,0x71499e,2 +np.float32,0xbf14f54d,0xbf5f38a5,2 +np.float32,0x806e60f5,0x806e60f5,2 +np.float32,0x3f5f34bb,0x3f207fff,2 +np.float32,0x80513427,0x80513427,2 +np.float32,0x7f379670,0x42b0c7dc,2 +np.float32,0x3efba888,0x3eccb20b,2 +np.float32,0x3eeadd1b,0x3ec14f4b,2 +np.float32,0x7ec5a27f,0x42af8ab8,2 +np.float32,0x3f2afe4e,0x3f02f7a2,2 +np.float32,0x5591c8,0x5591c8,2 +np.float32,0x3dbb7240,0x3db35bab,2 +np.float32,0x805b911b,0x805b911b,2 +np.float32,0x800000,0x800000,2 +np.float32,0x7e784c04,0x42ae9cab,2 +np.float32,0x7ebaae14,0x42af6d86,2 +np.float32,0xbec84f7a,0xbefe1d42,2 +np.float32,0x7cea8281,0x42aa56bf,2 +np.float32,0xbf542cf6,0xbfe1eb1b,2 +np.float32,0xbf6bfb13,0xc0231a5b,2 +np.float32,0x7d6eeaef,0x42abc32c,2 +np.float32,0xbf062f6b,0xbf3e2000,2 +np.float32,0x8073d8e9,0x8073d8e9,2 +np.float32,0xbea4db14,0xbec6f485,2 +np.float32,0x7d7e8d62,0x42abe3a0,2 +np.float32,0x7e8fc34e,0x42aee7c6,2 +np.float32,0x7dcbb0c3,0x42acd464,2 +np.float32,0x7e123c,0x7e123c,2 +np.float32,0x3d77af62,0x3d707c34,2 +np.float32,0x498cc8,0x498cc8,2 +np.float32,0x7f4e2206,0x42b1032a,2 +np.float32,0x3f734e0a,0x3f2b04a1,2 +np.float32,0x8053a9d0,0x8053a9d0,2 +np.float32,0xbe8a67e0,0xbea15be9,2 +np.float32,0xbf78e0ea,0xc065409e,2 +np.float32,0x352bdd,0x352bdd,2 +np.float32,0x3ee42be7,0x3ebcb38a,2 +np.float32,0x7f482d10,0x42b0f427,2 +np.float32,0xbf23155e,0xbf81b993,2 +np.float32,0x594920,0x594920,2 +np.float32,0x63f53f,0x63f53f,2 +np.float32,0x363592,0x363592,2 +np.float32,0x7dafbb78,0x42ac88cc,2 +np.float32,0x7f69516c,0x42b14298,2 +np.float32,0x3e1d5be2,0x3e126131,2 +np.float32,0x410c23,0x410c23,2 +np.float32,0x7ec9563c,0x42af9439,2 +np.float32,0xbedd3a0e,0xbf10d705,2 +np.float32,0x7f7c4f1f,0x42b16aa8,2 +np.float32,0xbe99b34e,0xbeb6c2d3,2 +np.float32,0x6cdc84,0x6cdc84,2 +np.float32,0x5b3bbe,0x5b3bbe,2 +np.float32,0x252178,0x252178,2 +np.float32,0x7d531865,0x42ab83c8,2 +np.float32,0xbf565b44,0xbfe873bf,2 +np.float32,0x5977ce,0x5977ce,2 +np.float32,0x588a58,0x588a58,2 +np.float32,0x3eae7054,0x3e961d51,2 +np.float32,0x725049,0x725049,2 +np.float32,0x7f2b9386,0x42b0a538,2 +np.float32,0xbe674714,0xbe831245,2 +np.float32,0x8044f0d8,0x8044f0d8,2 +np.float32,0x800a3c21,0x800a3c21,2 +np.float32,0x807b275b,0x807b275b,2 +np.float32,0xbf2463b6,0xbf83896e,2 +np.float32,0x801cca42,0x801cca42,2 +np.float32,0xbf28f2d0,0xbf8a121a,2 +np.float32,0x3f4168c2,0x3f1010ce,2 +np.float32,0x6f91a1,0x6f91a1,2 +np.float32,0xbf2b9eeb,0xbf8e0fc5,2 +np.float32,0xbea4c858,0xbec6d8e4,2 +np.float32,0xbf7abba0,0xc0788e88,2 +np.float32,0x802f18f7,0x802f18f7,2 +np.float32,0xbf7f6c75,0xc0c3145c,2 +np.float32,0xbe988210,0xbeb50f5e,2 +np.float32,0xbf219b7e,0xbf7f6a3b,2 +np.float32,0x7f800000,0x7f800000,2 +np.float32,0x7f7fffff,0x42b17218,2 +np.float32,0xbdca8d90,0xbdd5487e,2 +np.float32,0xbef683b0,0xbf2821b0,2 +np.float32,0x8043e648,0x8043e648,2 +np.float32,0xbf4319a4,0xbfb7cd1b,2 +np.float32,0x62c2b2,0x62c2b2,2 +np.float32,0xbf479ccd,0xbfc1a7b1,2 +np.float32,0x806c8a32,0x806c8a32,2 +np.float32,0x7f004447,0x42b01045,2 +np.float32,0x3f737d36,0x3f2b1ccf,2 +np.float32,0x3ee71f24,0x3ebebced,2 +np.float32,0x3ea0b6b4,0x3e8bc606,2 +np.float32,0x358fd7,0x358fd7,2 +np.float32,0xbe69780c,0xbe847d17,2 +np.float32,0x7f6bed18,0x42b14849,2 +np.float32,0xbf6a5113,0xc01dfe1d,2 +np.float32,0xbf255693,0xbf84de88,2 +np.float32,0x7f34acac,0x42b0bfac,2 +np.float32,0xbe8a3b6a,0xbea11efe,2 +np.float32,0x3f470d84,0x3f1342ab,2 +np.float32,0xbf2cbde3,0xbf8fc602,2 +np.float32,0x47c103,0x47c103,2 +np.float32,0xe3c94,0xe3c94,2 +np.float32,0xbec07afa,0xbef1693a,2 +np.float32,0x6a9cfe,0x6a9cfe,2 +np.float32,0xbe4339e0,0xbe5899da,2 +np.float32,0x7ea9bf1e,0x42af3cd6,2 +np.float32,0x3f6378b4,0x3f22c4c4,2 +np.float32,0xbd989ff0,0xbd9e9c77,2 +np.float32,0xbe6f2f50,0xbe88343d,2 +np.float32,0x3f7f2ac5,0x3f310764,2 +np.float32,0x3f256704,0x3eff2fb2,2 +np.float32,0x80786aca,0x80786aca,2 +np.float32,0x65d02f,0x65d02f,2 +np.float32,0x50d1c3,0x50d1c3,2 +np.float32,0x3f4a9d76,0x3f1541b4,2 +np.float32,0x802cf491,0x802cf491,2 +np.float32,0x3e935cec,0x3e81829b,2 +np.float32,0x3e2ad478,0x3e1dfd81,2 +np.float32,0xbf107cbd,0xbf54bef2,2 +np.float32,0xbf58c02e,0xbff007fe,2 +np.float32,0x80090808,0x80090808,2 +np.float32,0x805d1f66,0x805d1f66,2 +np.float32,0x6aec95,0x6aec95,2 +np.float32,0xbee3fc6e,0xbf16dc73,2 +np.float32,0x7f63314b,0x42b134f9,2 +np.float32,0x550443,0x550443,2 +np.float32,0xbefa8174,0xbf2c026e,2 +np.float32,0x3f7fb380,0x3f314bd5,2 +np.float32,0x80171f2c,0x80171f2c,2 +np.float32,0x3f2f56ae,0x3f058f2d,2 +np.float32,0x3eacaecb,0x3e94cd97,2 +np.float32,0xbe0c4f0c,0xbe16e69d,2 +np.float32,0x3f48e4cb,0x3f144b42,2 +np.float32,0x7f03efe2,0x42b01eb7,2 +np.float32,0xbf1019ac,0xbf53dbe9,2 +np.float32,0x3e958524,0x3e832eb5,2 +np.float32,0xbf1b23c6,0xbf6e72f2,2 +np.float32,0x12c554,0x12c554,2 +np.float32,0x7dee588c,0x42ad24d6,2 +np.float32,0xbe8c216c,0xbea3ba70,2 +np.float32,0x804553cb,0x804553cb,2 +np.float32,0xbe446324,0xbe5a0966,2 +np.float32,0xbef7150a,0xbf28adff,2 +np.float32,0xbf087282,0xbf42ec6e,2 +np.float32,0x3eeef15c,0x3ec41937,2 +np.float32,0x61bbd2,0x61bbd2,2 +np.float32,0x3e51b28d,0x3e3ec538,2 +np.float32,0x57e869,0x57e869,2 +np.float32,0x7e5e7711,0x42ae646c,2 +np.float32,0x8050b173,0x8050b173,2 +np.float32,0xbf63c90c,0xc00d2438,2 +np.float32,0xbeba774c,0xbee7dcf8,2 +np.float32,0x8016faac,0x8016faac,2 +np.float32,0xbe8b448c,0xbea28aaf,2 +np.float32,0x3e8cd448,0x3e78d29e,2 +np.float32,0x80484e02,0x80484e02,2 +np.float32,0x3f63ba68,0x3f22e78c,2 +np.float32,0x2e87bb,0x2e87bb,2 +np.float32,0x230496,0x230496,2 +np.float32,0x1327b2,0x1327b2,2 +np.float32,0xbf046c56,0xbf3a72d2,2 +np.float32,0x3ecefe60,0x3eadd69a,2 +np.float32,0x49c56e,0x49c56e,2 +np.float32,0x3df22d60,0x3de4e550,2 +np.float32,0x3f67c19d,0x3f250707,2 +np.float32,0x3f20eb9c,0x3ef9b624,2 +np.float32,0x3f05ca75,0x3ed742fa,2 +np.float32,0xbe8514f8,0xbe9a1d45,2 +np.float32,0x8070a003,0x8070a003,2 +np.float32,0x7e49650e,0x42ae317a,2 +np.float32,0x3de16ce9,0x3dd5dc3e,2 +np.float32,0xbf4ae952,0xbfc95f1f,2 +np.float32,0xbe44dd84,0xbe5aa0db,2 +np.float32,0x803c3bc0,0x803c3bc0,2 +np.float32,0x3eebb9e8,0x3ec1e692,2 +np.float32,0x80588275,0x80588275,2 +np.float32,0xbea1e69a,0xbec29d86,2 +np.float32,0x3f7b4bf8,0x3f2f154c,2 +np.float32,0x7eb47ecc,0x42af5c46,2 +np.float32,0x3d441e00,0x3d3f911a,2 +np.float32,0x7f54d40e,0x42b11388,2 +np.float32,0xbf47f17e,0xbfc26882,2 +np.float32,0x3ea7da57,0x3e912db4,2 +np.float32,0x3f59cc7b,0x3f1d984e,2 +np.float32,0x570e08,0x570e08,2 +np.float32,0x3e99560c,0x3e8620a2,2 +np.float32,0x3ecfbd14,0x3eae5e55,2 +np.float32,0x7e86be08,0x42aec698,2 +np.float32,0x3f10f28a,0x3ee5b5d3,2 +np.float32,0x7f228722,0x42b0897a,2 +np.float32,0x3f4b979b,0x3f15cd30,2 +np.float32,0xbf134283,0xbf5b30f9,2 +np.float32,0x3f2ae16a,0x3f02e64f,2 +np.float32,0x3e98e158,0x3e85c6cc,2 +np.float32,0x7ec39f27,0x42af857a,2 +np.float32,0x3effedb0,0x3ecf8cea,2 +np.float32,0xbd545620,0xbd5a09c1,2 +np.float32,0x503a28,0x503a28,2 +np.float32,0x3f712744,0x3f29e9a1,2 +np.float32,0x3edc6194,0x3eb748b1,2 +np.float32,0xbf4ec1e5,0xbfd2ff5f,2 +np.float32,0x3f46669e,0x3f12e4b5,2 +np.float32,0xabad3,0xabad3,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0x803f2e6d,0x803f2e6d,2 +np.float32,0xbf431542,0xbfb7c3e6,2 +np.float32,0x3f6f2d53,0x3f28e496,2 +np.float32,0x546bd8,0x546bd8,2 +np.float32,0x25c80a,0x25c80a,2 +np.float32,0x3e50883c,0x3e3dcd7e,2 +np.float32,0xbf5fa2ba,0xc0045c14,2 +np.float32,0x80271c07,0x80271c07,2 +np.float32,0x8043755d,0x8043755d,2 +np.float32,0xbf3c5cea,0xbfaa5ee9,2 +np.float32,0x3f2fea38,0x3f05e6af,2 +np.float32,0x6da3dc,0x6da3dc,2 +np.float32,0xbf095945,0xbf44dc70,2 +np.float32,0xbe33d584,0xbe45c1f5,2 +np.float32,0x7eb41b2e,0x42af5b2b,2 +np.float32,0xbf0feb74,0xbf537242,2 +np.float32,0xbe96225a,0xbeb1b0b1,2 +np.float32,0x3f63b95f,0x3f22e700,2 +np.float32,0x0,0x0,2 +np.float32,0x3e20b0cc,0x3e154374,2 +np.float32,0xbf79880c,0xc06b6801,2 +np.float32,0xbea690b6,0xbec97b93,2 +np.float32,0xbf3e11ca,0xbfada449,2 +np.float32,0x7e7e6292,0x42aea912,2 +np.float32,0x3e793350,0x3e5f0b7b,2 +np.float32,0x802e7183,0x802e7183,2 +np.float32,0x3f1b3695,0x3ef2a788,2 +np.float32,0x801efa20,0x801efa20,2 +np.float32,0x3f1ec43a,0x3ef70f42,2 +np.float32,0xbf12c5ed,0xbf5a0c52,2 +np.float32,0x8005e99c,0x8005e99c,2 +np.float32,0xbf79f5e7,0xc06fcca5,2 +np.float32,0x3ecbaf50,0x3eab7a03,2 +np.float32,0x46b0fd,0x46b0fd,2 +np.float32,0x3edb9023,0x3eb6b631,2 +np.float32,0x7f24bc41,0x42b09063,2 +np.float32,0xbd8d9328,0xbd92b4c6,2 +np.float32,0x3f2c5d7f,0x3f03c9d9,2 +np.float32,0x807bebc9,0x807bebc9,2 +np.float32,0x7f797a99,0x42b164e2,2 +np.float32,0x756e3c,0x756e3c,2 +np.float32,0x80416f8a,0x80416f8a,2 +np.float32,0x3e0d512a,0x3e04611a,2 +np.float32,0x3f7be3e6,0x3f2f61ec,2 +np.float32,0x80075c41,0x80075c41,2 +np.float32,0xbe850294,0xbe9a046c,2 +np.float32,0x684679,0x684679,2 +np.float32,0x3eb393c4,0x3e99eed2,2 +np.float32,0x3f4177c6,0x3f10195b,2 +np.float32,0x3dd1f402,0x3dc7dfe5,2 +np.float32,0x3ef484d4,0x3ec7e2e1,2 +np.float32,0x53eb8f,0x53eb8f,2 +np.float32,0x7f072cb6,0x42b02b20,2 +np.float32,0xbf1b6b55,0xbf6f28d4,2 +np.float32,0xbd8a98d8,0xbd8f827d,2 +np.float32,0x3eafb418,0x3e970e96,2 +np.float32,0x6555af,0x6555af,2 +np.float32,0x7dd5118e,0x42aceb6f,2 +np.float32,0x800a13f7,0x800a13f7,2 +np.float32,0x331a9d,0x331a9d,2 +np.float32,0x8063773f,0x8063773f,2 +np.float32,0x3e95e068,0x3e837553,2 +np.float32,0x80654b32,0x80654b32,2 +np.float32,0x3dabe0e0,0x3da50bb3,2 +np.float32,0xbf6283c3,0xc00a5280,2 +np.float32,0x80751cc5,0x80751cc5,2 +np.float32,0x3f668eb6,0x3f2465c0,2 +np.float32,0x3e13c058,0x3e0a048c,2 +np.float32,0x77780c,0x77780c,2 +np.float32,0x3f7d6e48,0x3f302868,2 +np.float32,0x7e31f9e3,0x42adf22f,2 +np.float32,0x246c7b,0x246c7b,2 +np.float32,0xbe915bf0,0xbeaafa6c,2 +np.float32,0xbf800000,0xff800000,2 +np.float32,0x3f698f42,0x3f25f8e0,2 +np.float32,0x7e698885,0x42ae7d48,2 +np.float32,0x3f5bbd42,0x3f1ea42c,2 +np.float32,0x5b8444,0x5b8444,2 +np.float32,0xbf6065f6,0xc005e2c6,2 +np.float32,0xbeb95036,0xbee60dad,2 +np.float32,0xbf44f846,0xbfbbcade,2 +np.float32,0xc96e5,0xc96e5,2 +np.float32,0xbf213e90,0xbf7e6eae,2 +np.float32,0xbeb309cc,0xbedc4fe6,2 +np.float32,0xbe781cf4,0xbe8e0fe6,2 +np.float32,0x7f0cf0db,0x42b04083,2 +np.float32,0xbf7b6143,0xc08078f9,2 +np.float32,0x80526fc6,0x80526fc6,2 +np.float32,0x3f092bf3,0x3edbaeec,2 +np.float32,0x3ecdf154,0x3ead16df,2 +np.float32,0x2fe85b,0x2fe85b,2 +np.float32,0xbf5100a0,0xbfd8f871,2 +np.float32,0xbec09d40,0xbef1a028,2 +np.float32,0x5e6a85,0x5e6a85,2 +np.float32,0xbec0e2a0,0xbef20f6b,2 +np.float32,0x3f72e788,0x3f2ad00d,2 +np.float32,0x880a6,0x880a6,2 +np.float32,0x3d9e90bf,0x3d98b9fc,2 +np.float32,0x15cf25,0x15cf25,2 +np.float32,0x10171b,0x10171b,2 +np.float32,0x805cf1aa,0x805cf1aa,2 +np.float32,0x3f19bd36,0x3ef0d0d2,2 +np.float32,0x3ebe2bda,0x3ea1b774,2 +np.float32,0xbecd8192,0xbf035c49,2 +np.float32,0x3e2ce508,0x3e1fc21b,2 +np.float32,0x290f,0x290f,2 +np.float32,0x803b679f,0x803b679f,2 +np.float32,0x1,0x1,2 +np.float32,0x807a9c76,0x807a9c76,2 +np.float32,0xbf65fced,0xc01257f8,2 +np.float32,0x3f783414,0x3f2d8475,2 +np.float32,0x3f2d9d92,0x3f0488da,2 +np.float32,0xbddb5798,0xbde80018,2 +np.float32,0x3e91afb8,0x3e8034e7,2 +np.float32,0xbf1b775a,0xbf6f476d,2 +np.float32,0xbf73a32c,0xc041f3ba,2 +np.float32,0xbea39364,0xbec5121b,2 +np.float32,0x80375b94,0x80375b94,2 +np.float32,0x3f331252,0x3f07c3e9,2 +np.float32,0xbf285774,0xbf892e74,2 +np.float32,0x3e699bb8,0x3e526d55,2 +np.float32,0x3f08208a,0x3eda523a,2 +np.float32,0xbf42fb4a,0xbfb78d60,2 +np.float32,0x8029c894,0x8029c894,2 +np.float32,0x3e926c0c,0x3e80c76e,2 +np.float32,0x801e4715,0x801e4715,2 +np.float32,0x3e4b36d8,0x3e395ffd,2 +np.float32,0x8041556b,0x8041556b,2 +np.float32,0xbf2d99ba,0xbf9119bd,2 +np.float32,0x3ed83ea8,0x3eb46250,2 +np.float32,0xbe94a280,0xbeaf92b4,2 +np.float32,0x7f4c7a64,0x42b0ff0a,2 +np.float32,0x806d4022,0x806d4022,2 +np.float32,0xbed382f8,0xbf086d26,2 +np.float32,0x1846fe,0x1846fe,2 +np.float32,0xbe702558,0xbe88d4d8,2 +np.float32,0xbe650ee0,0xbe81a3cc,2 +np.float32,0x3ee9d088,0x3ec0970c,2 +np.float32,0x7f6d4498,0x42b14b30,2 +np.float32,0xbef9f9e6,0xbf2b7ddb,2 +np.float32,0xbf70c384,0xc0349370,2 +np.float32,0xbeff9e9e,0xbf3110c8,2 +np.float32,0xbef06372,0xbf224aa9,2 +np.float32,0xbf15a692,0xbf60e1fa,2 +np.float32,0x8058c117,0x8058c117,2 +np.float32,0xbd9f74b8,0xbda6017b,2 +np.float32,0x801bf130,0x801bf130,2 +np.float32,0x805da84c,0x805da84c,2 +np.float32,0xff800000,0xffc00000,2 +np.float32,0xbeb01de2,0xbed7d6d6,2 +np.float32,0x8077de08,0x8077de08,2 +np.float32,0x3e327668,0x3e2482c1,2 +np.float32,0xbe7add88,0xbe8fe1ab,2 +np.float32,0x805a3c2e,0x805a3c2e,2 +np.float32,0x80326a73,0x80326a73,2 +np.float32,0x800b8a34,0x800b8a34,2 +np.float32,0x8048c83a,0x8048c83a,2 +np.float32,0xbf3799d6,0xbfa1a975,2 +np.float32,0x807649c7,0x807649c7,2 +np.float32,0x3dfdbf90,0x3def3798,2 +np.float32,0xbf1b538a,0xbf6eec4c,2 +np.float32,0xbf1e5989,0xbf76baa0,2 +np.float32,0xc7a80,0xc7a80,2 +np.float32,0x8001be54,0x8001be54,2 +np.float32,0x3f435bbc,0x3f112c6d,2 +np.float32,0xbeabcff8,0xbed151d1,2 +np.float32,0x7de20c78,0x42ad09b7,2 +np.float32,0x3f0e6d2e,0x3ee27b1e,2 +np.float32,0xbf0cb352,0xbf4c3267,2 +np.float32,0x7f6ec06f,0x42b14e61,2 +np.float32,0x7f6fa8ef,0x42b15053,2 +np.float32,0xbf3d2a6a,0xbfabe623,2 +np.float32,0x7f077a4c,0x42b02c46,2 +np.float32,0xbf2a68dc,0xbf8c3cc4,2 +np.float32,0x802a5dbe,0x802a5dbe,2 +np.float32,0x807f631c,0x807f631c,2 +np.float32,0x3dc9b8,0x3dc9b8,2 +np.float32,0x3ebdc1b7,0x3ea16a0a,2 +np.float32,0x7ef29dab,0x42aff3b5,2 +np.float32,0x3e8ab1cc,0x3e757806,2 +np.float32,0x3f27e88e,0x3f011c6d,2 +np.float32,0x3cfd1455,0x3cf93fb5,2 +np.float32,0x7f7eebf5,0x42b16fef,2 +np.float32,0x3c9b2140,0x3c99ade9,2 +np.float32,0x7e928601,0x42aef183,2 +np.float32,0xbd7d2db0,0xbd82abae,2 +np.float32,0x3e6f0df3,0x3e56da20,2 +np.float32,0x7d36a2fc,0x42ab39a3,2 +np.float32,0xbf49d3a2,0xbfc6c859,2 +np.float32,0x7ee541d3,0x42afd6b6,2 +np.float32,0x80753dc0,0x80753dc0,2 +np.float32,0x3f4ce486,0x3f16865d,2 +np.float32,0x39e701,0x39e701,2 +np.float32,0x3f3d9ede,0x3f0de5fa,2 +np.float32,0x7fafb2,0x7fafb2,2 +np.float32,0x3e013fdc,0x3df37090,2 +np.float32,0x807b6a2c,0x807b6a2c,2 +np.float32,0xbe86800a,0xbe9c08c7,2 +np.float32,0x7f40f080,0x42b0e14d,2 +np.float32,0x7eef5afe,0x42afecc8,2 +np.float32,0x7ec30052,0x42af83da,2 +np.float32,0x3eacf768,0x3e9503e1,2 +np.float32,0x7f13ef0e,0x42b0594e,2 +np.float32,0x80419f4a,0x80419f4a,2 +np.float32,0xbf485932,0xbfc3562a,2 +np.float32,0xbe8a24d6,0xbea10011,2 +np.float32,0xbda791c0,0xbdaed2bc,2 +np.float32,0x3e9b5169,0x3e87a67d,2 +np.float32,0x807dd882,0x807dd882,2 +np.float32,0x7f40170e,0x42b0df0a,2 +np.float32,0x7f02f7f9,0x42b01af1,2 +np.float32,0x3ea38bf9,0x3e8decde,2 +np.float32,0x3e2e7ce8,0x3e211ed4,2 +np.float32,0x70a7a6,0x70a7a6,2 +np.float32,0x7d978592,0x42ac3ce7,2 +np.float32,0x804d12d0,0x804d12d0,2 +np.float32,0x80165dc8,0x80165dc8,2 +np.float32,0x80000001,0x80000001,2 +np.float32,0x3e325da0,0x3e246da6,2 +np.float32,0xbe063bb8,0xbe0fe281,2 +np.float32,0x160b8,0x160b8,2 +np.float32,0xbe5687a4,0xbe70bbef,2 +np.float32,0x7f11ab34,0x42b05168,2 +np.float32,0xc955c,0xc955c,2 +np.float32,0xbea0003a,0xbebfd826,2 +np.float32,0x3f7fbdd9,0x3f315102,2 +np.float32,0xbe61aefc,0xbe7ef121,2 +np.float32,0xbf1b9873,0xbf6f9bc3,2 +np.float32,0x3a6d14,0x3a6d14,2 +np.float32,0xbf1ad3b4,0xbf6da808,2 +np.float32,0x3ed2dd24,0x3eb0963d,2 +np.float32,0xbe81a4ca,0xbe957d52,2 +np.float32,0x7f1be3e9,0x42b07421,2 +np.float32,0x7f5ce943,0x42b1269e,2 +np.float32,0x7eebcbdf,0x42afe51d,2 +np.float32,0x807181b5,0x807181b5,2 +np.float32,0xbecb03ba,0xbf0149ad,2 +np.float32,0x42edb8,0x42edb8,2 +np.float32,0xbf3aeec8,0xbfa7b13f,2 +np.float32,0xbd0c4f00,0xbd0ec4a0,2 +np.float32,0x3e48d260,0x3e376070,2 +np.float32,0x1a9731,0x1a9731,2 +np.float32,0x7f323be4,0x42b0b8b5,2 +np.float32,0x1a327f,0x1a327f,2 +np.float32,0x17f1fc,0x17f1fc,2 +np.float32,0xbf2f4f9b,0xbf93c91a,2 +np.float32,0x3ede8934,0x3eb8c9c3,2 +np.float32,0xbf56aaac,0xbfe968bb,2 +np.float32,0x3e22cb5a,0x3e17148c,2 +np.float32,0x7d9def,0x7d9def,2 +np.float32,0x8045b963,0x8045b963,2 +np.float32,0x77404f,0x77404f,2 +np.float32,0x7e2c9efb,0x42ade28b,2 +np.float32,0x8058ad89,0x8058ad89,2 +np.float32,0x7f4139,0x7f4139,2 +np.float32,0x8020e12a,0x8020e12a,2 +np.float32,0x800c9daa,0x800c9daa,2 +np.float32,0x7f2c5ac5,0x42b0a789,2 +np.float32,0x3f04a47b,0x3ed5c043,2 +np.float32,0x804692d5,0x804692d5,2 +np.float32,0xbf6e7fa4,0xc02bb493,2 +np.float32,0x80330756,0x80330756,2 +np.float32,0x7f3e29ad,0x42b0d9e1,2 +np.float32,0xbebf689a,0xbeefb24d,2 +np.float32,0x3f29a86c,0x3f022a56,2 +np.float32,0x3e3bd1c0,0x3e2c72b3,2 +np.float32,0x3f78f2e8,0x3f2de546,2 +np.float32,0x3f3709be,0x3f0a16af,2 +np.float32,0x3e11f150,0x3e086f97,2 +np.float32,0xbf5867ad,0xbfeee8a0,2 +np.float32,0xbebfb328,0xbef0296c,2 +np.float32,0x2f7f15,0x2f7f15,2 +np.float32,0x805cfe84,0x805cfe84,2 +np.float32,0xbf504e01,0xbfd71589,2 +np.float32,0x3ee0903c,0x3eba330c,2 +np.float32,0xbd838990,0xbd87f399,2 +np.float32,0x3f14444e,0x3ee9ee7d,2 +np.float32,0x7e352583,0x42adfb3a,2 +np.float32,0x7e76f824,0x42ae99ec,2 +np.float32,0x3f772d00,0x3f2cfebf,2 +np.float32,0x801f7763,0x801f7763,2 +np.float32,0x3f760bf5,0x3f2c6b87,2 +np.float32,0xbf0bb696,0xbf4a03a5,2 +np.float32,0x3f175d2c,0x3eedd6d2,2 +np.float32,0xbf5723f8,0xbfeae288,2 +np.float32,0x24de0a,0x24de0a,2 +np.float32,0x3cd73f80,0x3cd47801,2 +np.float32,0x7f013305,0x42b013fa,2 +np.float32,0x3e3ad425,0x3e2b9c50,2 +np.float32,0x7d3d16,0x7d3d16,2 +np.float32,0x3ef49738,0x3ec7ef54,2 +np.float32,0x3f5b8612,0x3f1e8678,2 +np.float32,0x7f0eeb5c,0x42b047a7,2 +np.float32,0x7e9d7cb0,0x42af1675,2 +np.float32,0xbdd1cfb0,0xbddd5aa0,2 +np.float32,0xbf645dba,0xc00e78fe,2 +np.float32,0x3f511174,0x3f18d56c,2 +np.float32,0x3d91ad00,0x3d8cba62,2 +np.float32,0x805298da,0x805298da,2 +np.float32,0xbedb6af4,0xbf0f4090,2 +np.float32,0x3d23b1ba,0x3d208205,2 +np.float32,0xbea5783e,0xbec7dc87,2 +np.float32,0x79d191,0x79d191,2 +np.float32,0x3e894413,0x3e7337da,2 +np.float32,0x80800000,0x80800000,2 +np.float32,0xbf34a8d3,0xbf9c907b,2 +np.float32,0x3bae779a,0x3bae011f,2 +np.float32,0x8049284d,0x8049284d,2 +np.float32,0x3eb42cc4,0x3e9a600b,2 +np.float32,0x3da1e2d0,0x3d9bce5f,2 +np.float32,0x3f364b8a,0x3f09a7af,2 +np.float32,0x3d930b10,0x3d8e0118,2 +np.float32,0x8061f8d7,0x8061f8d7,2 +np.float32,0x3f473213,0x3f13573b,2 +np.float32,0x3f1e2a38,0x3ef65102,2 +np.float32,0x8068f7d9,0x8068f7d9,2 +np.float32,0x3f181ef8,0x3eeeca2c,2 +np.float32,0x3eeb6168,0x3ec1a9f5,2 +np.float32,0xc2db6,0xc2db6,2 +np.float32,0x3ef7b578,0x3eca0a69,2 +np.float32,0xbf5b5a84,0xbff8d075,2 +np.float32,0x7f479d5f,0x42b0f2b7,2 +np.float32,0x3e6f3c24,0x3e56ff92,2 +np.float32,0x3f45543a,0x3f1249f0,2 +np.float32,0xbea7c1fa,0xbecb40d2,2 +np.float32,0x7de082,0x7de082,2 +np.float32,0x383729,0x383729,2 +np.float32,0xbd91cb90,0xbd973eb3,2 +np.float32,0x7f320218,0x42b0b80f,2 +np.float32,0x5547f2,0x5547f2,2 +np.float32,0x291fe4,0x291fe4,2 +np.float32,0xbe078ba0,0xbe11655f,2 +np.float32,0x7e0c0658,0x42ad7764,2 +np.float32,0x7e129a2b,0x42ad8ee5,2 +np.float32,0x3f7c96d4,0x3f2fbc0c,2 +np.float32,0x3f800000,0x3f317218,2 +np.float32,0x7f131754,0x42b05662,2 +np.float32,0x15f833,0x15f833,2 +np.float32,0x80392ced,0x80392ced,2 +np.float32,0x3f7c141a,0x3f2f7a36,2 +np.float32,0xbf71c03f,0xc038dcfd,2 +np.float32,0xbe14fb2c,0xbe20fff3,2 +np.float32,0xbee0bac6,0xbf13f14c,2 +np.float32,0x801a32dd,0x801a32dd,2 +np.float32,0x8e12d,0x8e12d,2 +np.float32,0x3f48c606,0x3f143a04,2 +np.float32,0x7f418af5,0x42b0e2e6,2 +np.float32,0x3f1f2918,0x3ef78bb7,2 +np.float32,0x11141b,0x11141b,2 +np.float32,0x3e9fc9e8,0x3e8b11ad,2 +np.float32,0xbea5447a,0xbec79010,2 +np.float32,0xbe31d904,0xbe4359db,2 +np.float32,0x80184667,0x80184667,2 +np.float32,0xbf00503c,0xbf3212c2,2 +np.float32,0x3e0328cf,0x3df6d425,2 +np.float32,0x7ee8e1b7,0x42afdebe,2 +np.float32,0xbef95e24,0xbf2ae5db,2 +np.float32,0x7f3e4eed,0x42b0da45,2 +np.float32,0x3f43ee85,0x3f117fa0,2 +np.float32,0xbcfa2ac0,0xbcfe10fe,2 +np.float32,0x80162774,0x80162774,2 +np.float32,0x372e8b,0x372e8b,2 +np.float32,0x3f263802,0x3f0016b0,2 +np.float32,0x8008725f,0x8008725f,2 +np.float32,0x800beb40,0x800beb40,2 +np.float32,0xbe93308e,0xbead8a77,2 +np.float32,0x3d8a4240,0x3d85cab8,2 +np.float32,0x80179de0,0x80179de0,2 +np.float32,0x7f4a98f2,0x42b0fa4f,2 +np.float32,0x3f0d214e,0x3ee0cff1,2 +np.float32,0x80536c2c,0x80536c2c,2 +np.float32,0x7e7038ed,0x42ae8bbe,2 +np.float32,0x7f345af9,0x42b0bec4,2 +np.float32,0xbf243219,0xbf83442f,2 +np.float32,0x7e0d5555,0x42ad7c27,2 +np.float32,0x762e95,0x762e95,2 +np.float32,0x7ebf4548,0x42af79f6,2 +np.float32,0x8079639e,0x8079639e,2 +np.float32,0x3ef925c0,0x3ecb0260,2 +np.float32,0x3f708695,0x3f2996d6,2 +np.float32,0xfca9f,0xfca9f,2 +np.float32,0x8060dbf4,0x8060dbf4,2 +np.float32,0x4c8840,0x4c8840,2 +np.float32,0xbea922ee,0xbecd4ed5,2 +np.float32,0xbf4f28a9,0xbfd40b98,2 +np.float32,0xbe25ad48,0xbe34ba1b,2 +np.float32,0x3f2fb254,0x3f05c58c,2 +np.float32,0x3f73bcc2,0x3f2b3d5f,2 +np.float32,0xbf479a07,0xbfc1a165,2 +np.float32,0xbeb9a808,0xbee69763,2 +np.float32,0x7eb16a65,0x42af5376,2 +np.float32,0xbeb3e442,0xbedda042,2 +np.float32,0x3d8f439c,0x3d8a79ac,2 +np.float32,0x80347516,0x80347516,2 +np.float32,0x3e8a0c5d,0x3e74738c,2 +np.float32,0xbf0383a4,0xbf389289,2 +np.float32,0x806be8f5,0x806be8f5,2 +np.float32,0x8023f0c5,0x8023f0c5,2 +np.float32,0x2060e9,0x2060e9,2 +np.float32,0xbf759eba,0xc04d239f,2 +np.float32,0x3d84cc5a,0x3d80ab96,2 +np.float32,0xbf57746b,0xbfebdf87,2 +np.float32,0x3e418417,0x3e31401f,2 +np.float32,0xaecce,0xaecce,2 +np.float32,0x3cd1766f,0x3cced45c,2 +np.float32,0x53724a,0x53724a,2 +np.float32,0x3f773710,0x3f2d03de,2 +np.float32,0x8013d040,0x8013d040,2 +np.float32,0x4d0eb2,0x4d0eb2,2 +np.float32,0x8014364a,0x8014364a,2 +np.float32,0x7f3c56c9,0x42b0d4f2,2 +np.float32,0x3eee1e1c,0x3ec3891a,2 +np.float32,0xbdda3eb8,0xbde6c5a0,2 +np.float32,0x26ef4a,0x26ef4a,2 +np.float32,0x7ed3370c,0x42afacbf,2 +np.float32,0xbf06e31b,0xbf3f9ab7,2 +np.float32,0xbe3185f0,0xbe42f556,2 +np.float32,0x3dcf9abe,0x3dc5be41,2 +np.float32,0xbf3696d9,0xbf9fe2bd,2 +np.float32,0x3e68ee50,0x3e51e01a,2 +np.float32,0x3f3d4cc2,0x3f0db6ca,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0xbf03070c,0xbf3792d0,2 +np.float32,0x3ea79e6c,0x3e910092,2 +np.float32,0xbf1a393a,0xbf6c2251,2 +np.float32,0x3f41eb0e,0x3f105afc,2 +np.float32,0x3ceadb2f,0x3ce78d79,2 +np.float32,0xbf5dc105,0xc000be2c,2 +np.float32,0x7ebb5a0e,0x42af6f5c,2 +np.float32,0xbf7c44eb,0xc0875058,2 +np.float32,0x6aaaf4,0x6aaaf4,2 +np.float32,0x807d8f23,0x807d8f23,2 +np.float32,0xbee6b142,0xbf194fef,2 +np.float32,0xbe83f256,0xbe989526,2 +np.float32,0x7d588e,0x7d588e,2 +np.float32,0x7cc80131,0x42aa0542,2 +np.float32,0x3e0ab198,0x3e02124f,2 +np.float32,0xbf6e64db,0xc02b52eb,2 +np.float32,0x3d238b56,0x3d205d1b,2 +np.float32,0xbeb408e2,0xbeddd8bc,2 +np.float32,0x3f78340d,0x3f2d8471,2 +np.float32,0x806162a3,0x806162a3,2 +np.float32,0x804e484f,0x804e484f,2 +np.float32,0xbeb8c576,0xbee53466,2 +np.float32,0x807aab15,0x807aab15,2 +np.float32,0x3f523e20,0x3f197ab8,2 +np.float32,0xbf009190,0xbf3295de,2 +np.float32,0x3df43da5,0x3de6bd82,2 +np.float32,0x7f639aea,0x42b135e6,2 +np.float32,0x3f1e638a,0x3ef697da,2 +np.float32,0xbf4884de,0xbfc3bac3,2 +np.float32,0xbe9336b6,0xbead931b,2 +np.float32,0x6daf7f,0x6daf7f,2 +np.float32,0xbf1fc152,0xbf7a70b1,2 +np.float32,0x3f103720,0x3ee4c649,2 +np.float32,0x3eeaa227,0x3ec126df,2 +np.float32,0x7f7ea945,0x42b16f69,2 +np.float32,0x3d3cd800,0x3d389ead,2 +np.float32,0x3f3d7268,0x3f0dcc6e,2 +np.float32,0xbf3c1b41,0xbfa9e2e3,2 +np.float32,0x3ecf3818,0x3eadffb2,2 +np.float32,0x3f1af312,0x3ef25372,2 +np.float32,0x48fae4,0x48fae4,2 +np.float64,0x7fedaa1ee4fb543d,0x40862da7ca7c308e,1 +np.float64,0x8007d2d810efa5b1,0x8007d2d810efa5b1,1 +np.float64,0x3fc385e069270bc0,0x3fc22b8884cf2c3b,1 +np.float64,0x68ed4130d1da9,0x68ed4130d1da9,1 +np.float64,0x8008e93e58d1d27d,0x8008e93e58d1d27d,1 +np.float64,0xbfd3d62852a7ac50,0xbfd7be3a7ad1af02,1 +np.float64,0xbfc1fa0ba923f418,0xbfc35f0f19447df7,1 +np.float64,0xbfe01b8cec20371a,0xbfe6658c7e6c8e50,1 +np.float64,0xbfeda81a147b5034,0xc004e9c94f2b91c1,1 +np.float64,0xbfe1c36a97e386d5,0xbfe9ead4d6beaa92,1 +np.float64,0x3fe50be51f2a17ca,0x3fe02c8067d9e5c5,1 +np.float64,0x3febed4d3337da9a,0x3fe413956466134f,1 +np.float64,0x80068ea59ced1d4c,0x80068ea59ced1d4c,1 +np.float64,0x3febe77d5877cefb,0x3fe4107ac088bc71,1 +np.float64,0x800ae77617d5ceed,0x800ae77617d5ceed,1 +np.float64,0x3fd0546b60a0a8d7,0x3fcd16c2e995ab23,1 +np.float64,0xbfe33e1476667c29,0xbfed6d7faec4db2f,1 +np.float64,0x3fe9d2fd51b3a5fb,0x3fe2eef834310219,1 +np.float64,0x8004249878284932,0x8004249878284932,1 +np.float64,0xbfd5b485c72b690c,0xbfda828ccc6a7a5c,1 +np.float64,0x7fcd6e6b6b3adcd6,0x408622807f04768e,1 +np.float64,0x3fd7f9c32caff386,0x3fd45d024514b8da,1 +np.float64,0x7f87eb9d702fd73a,0x40860aa99fcff27f,1 +np.float64,0xbfc5d1f6fb2ba3ec,0xbfc7ec367cb3fecc,1 +np.float64,0x8008316a44d062d5,0x8008316a44d062d5,1 +np.float64,0xbfd54e4358aa9c86,0xbfd9e889d2998a4a,1 +np.float64,0xda65facdb4cc0,0xda65facdb4cc0,1 +np.float64,0x3fc5b4f6f32b69f0,0x3fc40d13aa8e248b,1 +np.float64,0x3fd825a5d5b04b4c,0x3fd47ce73e04d3ff,1 +np.float64,0x7ac9d56ef593b,0x7ac9d56ef593b,1 +np.float64,0xbfd0a51977214a32,0xbfd34702071428be,1 +np.float64,0x3fd21f620b243ec4,0x3fcfea0c02193640,1 +np.float64,0x3fe6fb3f1b2df67e,0x3fe151ffb18c983b,1 +np.float64,0x700de022e01bd,0x700de022e01bd,1 +np.float64,0xbfbb76b81236ed70,0xbfbd0d31deea1ec7,1 +np.float64,0x3fecfc3856f9f870,0x3fe4a2fcadf221e0,1 +np.float64,0x3fede286517bc50c,0x3fe51af2fbd6ef63,1 +np.float64,0x7fdc8da96c391b52,0x408627ce09cfef2b,1 +np.float64,0x8000edfcfb81dbfb,0x8000edfcfb81dbfb,1 +np.float64,0x8009ebc42af3d789,0x8009ebc42af3d789,1 +np.float64,0x7fd658aaf8acb155,0x408625d80cd1ccc9,1 +np.float64,0x3feea584a37d4b09,0x3fe57f29a73729cd,1 +np.float64,0x4cfe494699fca,0x4cfe494699fca,1 +np.float64,0xbfe9d96460b3b2c9,0xbffa62ecfa026c77,1 +np.float64,0x7fdb3852c3b670a5,0x4086276c191dc9b1,1 +np.float64,0xbfe4d1fc9ee9a3f9,0xbff0d37ce37cf479,1 +np.float64,0xffefffffffffffff,0xfff8000000000000,1 +np.float64,0xbfd1c43d7fa3887a,0xbfd4cfbefb5f2c43,1 +np.float64,0x3fec4a8e0d78951c,0x3fe4453a82ca2570,1 +np.float64,0x7fafed74583fdae8,0x4086181017b8dac9,1 +np.float64,0x80076c4ebcced89e,0x80076c4ebcced89e,1 +np.float64,0x8001a9aa7b235356,0x8001a9aa7b235356,1 +np.float64,0x121260fe2424d,0x121260fe2424d,1 +np.float64,0x3fddd028e3bba052,0x3fd87998c4c43c5b,1 +np.float64,0x800ed1cf4a9da39f,0x800ed1cf4a9da39f,1 +np.float64,0xbfef2e63d7fe5cc8,0xc00d53480b16971b,1 +np.float64,0xbfedde3309fbbc66,0xc005ab55b7a7c127,1 +np.float64,0x3fda3e1e85b47c3d,0x3fd5fddafd8d6729,1 +np.float64,0x8007c6443c6f8c89,0x8007c6443c6f8c89,1 +np.float64,0xbfe101705f2202e0,0xbfe8420817665121,1 +np.float64,0x7fe0bff3c1e17fe7,0x4086291539c56d80,1 +np.float64,0x7fe6001dab6c003a,0x40862b43aa7cb060,1 +np.float64,0x7fbdecf7de3bd9ef,0x40861d170b1c51a5,1 +np.float64,0xbfc0fd508c21faa0,0xbfc23a5876e99fa3,1 +np.float64,0xbfcf6eb14f3edd64,0xbfd208cbf742c8ea,1 +np.float64,0x3f6d40ea403a81d5,0x3f6d33934ab8e799,1 +np.float64,0x7fc32600b6264c00,0x40861f10302357e0,1 +np.float64,0x3fd05870baa0b0e0,0x3fcd1d2af420fac7,1 +np.float64,0x80051d5120aa3aa3,0x80051d5120aa3aa3,1 +np.float64,0x3fdb783fcfb6f080,0x3fd6db229658c083,1 +np.float64,0x3fe0b61199e16c24,0x3fdae41e277be2eb,1 +np.float64,0x3daf62167b5ed,0x3daf62167b5ed,1 +np.float64,0xbfec3c53b6f878a7,0xc0011f0ce7a78a2a,1 +np.float64,0x800fc905161f920a,0x800fc905161f920a,1 +np.float64,0x3fdc7b9cc138f73a,0x3fd78f9c2360e661,1 +np.float64,0x7fe4079e97a80f3c,0x40862a83795f2443,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0x7fe6da5345adb4a6,0x40862b9183c1e4b0,1 +np.float64,0xbfd0a76667214ecc,0xbfd34a1e0c1f6186,1 +np.float64,0x37fb0b906ff62,0x37fb0b906ff62,1 +np.float64,0x7fe170e59fa2e1ca,0x408629680a55e5c5,1 +np.float64,0x3fea900c77752019,0x3fe356eec75aa345,1 +np.float64,0x3fc575c63a2aeb8c,0x3fc3d701167d76b5,1 +np.float64,0x3fe8b45da87168bc,0x3fe24ecbb778fd44,1 +np.float64,0xbfcb990ab5373214,0xbfcf1596c076813c,1 +np.float64,0xf146fdfbe28e0,0xf146fdfbe28e0,1 +np.float64,0x8001fcd474c3f9aa,0x8001fcd474c3f9aa,1 +np.float64,0xbfe9b555eeb36aac,0xbffa0630c3bb485b,1 +np.float64,0x800f950be83f2a18,0x800f950be83f2a18,1 +np.float64,0x7feb0e03ab761c06,0x40862ceb30e36887,1 +np.float64,0x7fca51bd4a34a37a,0x4086219b9dfd35c9,1 +np.float64,0xbfdc27c34cb84f86,0xbfe28ccde8d6bc08,1 +np.float64,0x80009ce1714139c4,0x80009ce1714139c4,1 +np.float64,0x8005290fb1ea5220,0x8005290fb1ea5220,1 +np.float64,0xbfee81e6473d03cd,0xc00885972ca1699b,1 +np.float64,0x7fcfb11a373f6233,0x408623180b8f75d9,1 +np.float64,0xbfcb9c4bfd373898,0xbfcf19bd25881928,1 +np.float64,0x7feaec5885f5d8b0,0x40862ce136050e6c,1 +np.float64,0x8009e17a4a53c2f5,0x8009e17a4a53c2f5,1 +np.float64,0xbfe1cceb9e6399d7,0xbfea0038bd3def20,1 +np.float64,0x8009170bd7122e18,0x8009170bd7122e18,1 +np.float64,0xb2b6f7f1656df,0xb2b6f7f1656df,1 +np.float64,0x3fc75bfd1f2eb7f8,0x3fc574c858332265,1 +np.float64,0x3fa24c06ec249800,0x3fa1fa462ffcb8ec,1 +np.float64,0xaa9a4d2d5534a,0xaa9a4d2d5534a,1 +np.float64,0xbfd7b76208af6ec4,0xbfdda0c3200dcc9f,1 +np.float64,0x7f8cbab73039756d,0x40860c20cba57a94,1 +np.float64,0x3fdbcf9f48b79f3f,0x3fd71827a60e8b6d,1 +np.float64,0xbfdd60f71a3ac1ee,0xbfe3a94bc8cf134d,1 +np.float64,0xb9253589724a7,0xb9253589724a7,1 +np.float64,0xbfcf28e37e3e51c8,0xbfd1da9977b741e3,1 +np.float64,0x80011457f7e228b1,0x80011457f7e228b1,1 +np.float64,0x7fec33df737867be,0x40862d404a897122,1 +np.float64,0xae55f8f95cabf,0xae55f8f95cabf,1 +np.float64,0xbfc1ab9397235728,0xbfc303e5533d4a5f,1 +np.float64,0x7fef0f84b3be1f08,0x40862e05f9ba7118,1 +np.float64,0x7fdc94f328b929e5,0x408627d01449d825,1 +np.float64,0x3fee1b598c7c36b3,0x3fe53847be166834,1 +np.float64,0x3fee8326f37d064e,0x3fe56d96f3fbcf43,1 +np.float64,0x3fe7b18a83ef6316,0x3fe1bb6a6d48c675,1 +np.float64,0x3fe5db969c6bb72e,0x3fe0a8d7d151996c,1 +np.float64,0x3e3391d27c673,0x3e3391d27c673,1 +np.float64,0x3fe79a46d76f348e,0x3fe1ae09a96ea628,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0x7fe57d6505aafac9,0x40862b13925547f1,1 +np.float64,0x3fc433371d28666e,0x3fc2c196a764c47b,1 +np.float64,0x8008dbf69cd1b7ee,0x8008dbf69cd1b7ee,1 +np.float64,0xbfe744f459ee89e8,0xbff4c847ad3ee152,1 +np.float64,0x80098aa245331545,0x80098aa245331545,1 +np.float64,0x6747112ece8e3,0x6747112ece8e3,1 +np.float64,0x5d342a40ba69,0x5d342a40ba69,1 +np.float64,0xf7a17739ef42f,0xf7a17739ef42f,1 +np.float64,0x3fe1b34a9d236695,0x3fdc2d7c4e2c347a,1 +np.float64,0x7fb53bf5ec2a77eb,0x40861a585ec8f7ff,1 +np.float64,0xbfe6256f1cec4ade,0xbff2d89a36be65ae,1 +np.float64,0xb783bc9b6f078,0xb783bc9b6f078,1 +np.float64,0xbfedf74a3bfbee94,0xc0060bb6f2bc11ef,1 +np.float64,0x3fda2a5eccb454be,0x3fd5efd7f18b8e81,1 +np.float64,0xbfb3838ab2270718,0xbfb44c337fbca3c3,1 +np.float64,0x3fb4ac6dc22958e0,0x3fb3e194ca01a502,1 +np.float64,0x76c11aaaed824,0x76c11aaaed824,1 +np.float64,0x80025bb1af04b764,0x80025bb1af04b764,1 +np.float64,0x3fdc02740ab804e8,0x3fd73b8cd6f95f19,1 +np.float64,0x3fe71856f5ee30ae,0x3fe162e9fafb4428,1 +np.float64,0x800236f332646de7,0x800236f332646de7,1 +np.float64,0x7fe13fd9d2e27fb3,0x408629516b42a317,1 +np.float64,0x7fdf6bbd34bed779,0x40862892069d805c,1 +np.float64,0x3fd4727beba8e4f8,0x3fd1be5b48d9e282,1 +np.float64,0x800e0fac9e5c1f59,0x800e0fac9e5c1f59,1 +np.float64,0xfb54423ff6a89,0xfb54423ff6a89,1 +np.float64,0x800fbf7ed47f7efe,0x800fbf7ed47f7efe,1 +np.float64,0x3fe9d41fa2f3a840,0x3fe2ef98dc1fd463,1 +np.float64,0x800d733e805ae67d,0x800d733e805ae67d,1 +np.float64,0x3feebe4c46fd7c98,0x3fe58bcf7f47264e,1 +np.float64,0x7fe1ab77b5e356ee,0x40862982bb3dce34,1 +np.float64,0xbfdddac05abbb580,0xbfe41aa45f72d5a2,1 +np.float64,0x3fe14219dee28434,0x3fdb9b137d1f1220,1 +np.float64,0x3fe25d3d5a24ba7b,0x3fdd06e1cf32d35a,1 +np.float64,0x8000fa4fbe81f4a0,0x8000fa4fbe81f4a0,1 +np.float64,0x3fe303e23e6607c4,0x3fddd94982efa9f1,1 +np.float64,0x3fe89cf5d83139ec,0x3fe24193a2e12f75,1 +np.float64,0x3fe9b36ef87366de,0x3fe2dd7cdc25a4a5,1 +np.float64,0xbfdb8b38f8371672,0xbfe2023ba7e002bb,1 +np.float64,0xafc354955f86b,0xafc354955f86b,1 +np.float64,0xbfe2f3d49e65e7a9,0xbfecb557a94123d3,1 +np.float64,0x800496617c092cc4,0x800496617c092cc4,1 +np.float64,0x32db0cfa65b62,0x32db0cfa65b62,1 +np.float64,0xbfd893bfa2b12780,0xbfdf02a8c1e545aa,1 +np.float64,0x7fd5ac927d2b5924,0x408625997e7c1f9b,1 +np.float64,0x3fde9defb8bd3be0,0x3fd9056190986349,1 +np.float64,0x80030cfeb54619fe,0x80030cfeb54619fe,1 +np.float64,0x3fcba85b273750b8,0x3fc90a5ca976594f,1 +np.float64,0x3fe98f6f5cf31edf,0x3fe2c97fcb4eca25,1 +np.float64,0x3fe33dbf90667b80,0x3fde21b83321b993,1 +np.float64,0x3fe4686636e8d0cc,0x3fdf928cdca751b3,1 +np.float64,0x80018ade6ce315be,0x80018ade6ce315be,1 +np.float64,0x7fa9af70c8335ee1,0x408616528cd5a906,1 +np.float64,0x3fbeb460aa3d68c0,0x3fbcff96b00a2193,1 +np.float64,0x7fa82c869830590c,0x408615d6598d9368,1 +np.float64,0xd08c0e6fa1182,0xd08c0e6fa1182,1 +np.float64,0x3fef4eb750fe9d6f,0x3fe5d522fd4e7f64,1 +np.float64,0xbfc586f5492b0dec,0xbfc791eaae92aad1,1 +np.float64,0x7fede64ac7bbcc95,0x40862db7f444fa7b,1 +np.float64,0x3fe540003d6a8000,0x3fe04bdfc2916a0b,1 +np.float64,0x8009417fe6f28300,0x8009417fe6f28300,1 +np.float64,0x3fe6959cf16d2b3a,0x3fe116a1ce01887b,1 +np.float64,0x3fb0a40036214800,0x3fb01f447778219a,1 +np.float64,0x3feff26e91ffe4dd,0x3fe627798fc859a7,1 +np.float64,0x7fed8e46cd7b1c8d,0x40862da044a1d102,1 +np.float64,0x7fec4eb774f89d6e,0x40862d47e43edb53,1 +np.float64,0x3fe800e5e07001cc,0x3fe1e8e2b9105fc2,1 +np.float64,0x800f4eb2f9be9d66,0x800f4eb2f9be9d66,1 +np.float64,0x800611659bcc22cc,0x800611659bcc22cc,1 +np.float64,0x3fd66e65d2acdccc,0x3fd33ad63a5e1000,1 +np.float64,0x800a9085b7f5210c,0x800a9085b7f5210c,1 +np.float64,0x7fdf933a3fbf2673,0x4086289c0e292f2b,1 +np.float64,0x1cd1ba7a39a38,0x1cd1ba7a39a38,1 +np.float64,0xbfefd0b10fffa162,0xc0149ded900ed851,1 +np.float64,0xbfe8c63485b18c69,0xbff7cf3078b1574f,1 +np.float64,0x3fecde56ca79bcae,0x3fe4934afbd7dda9,1 +np.float64,0x8006cd6888cd9ad2,0x8006cd6888cd9ad2,1 +np.float64,0x3fd7a391c2af4724,0x3fd41e2f74df2329,1 +np.float64,0x3fe6a8ad58ed515a,0x3fe121ccfb28e6f5,1 +np.float64,0x7fe18a80dd631501,0x40862973c09086b9,1 +np.float64,0xbf74fd6d8029fb00,0xbf750b3e368ebe6b,1 +np.float64,0x3fdd35e93dba6bd4,0x3fd810071faaffad,1 +np.float64,0x3feb0d8f57361b1f,0x3fe39b3abdef8b7a,1 +np.float64,0xbfd5ec7288abd8e6,0xbfdad764df0d2ca1,1 +np.float64,0x7fdc848272b90904,0x408627cb78f3fb9e,1 +np.float64,0x800ed3eda91da7db,0x800ed3eda91da7db,1 +np.float64,0x3fefac64857f58c9,0x3fe60459dbaad1ba,1 +np.float64,0x3fd1df7a5ba3bef4,0x3fcf864a39b926ff,1 +np.float64,0xfe26ca4bfc4da,0xfe26ca4bfc4da,1 +np.float64,0xbfd1099f8da21340,0xbfd3cf6e6efe934b,1 +np.float64,0xbfe15de9a7a2bbd4,0xbfe909cc895f8795,1 +np.float64,0x3fe89714ed712e2a,0x3fe23e40d31242a4,1 +np.float64,0x800387113e470e23,0x800387113e470e23,1 +np.float64,0x3fe4f80730e9f00e,0x3fe0208219314cf1,1 +np.float64,0x2f95a97c5f2b6,0x2f95a97c5f2b6,1 +np.float64,0x800ea7cdd87d4f9c,0x800ea7cdd87d4f9c,1 +np.float64,0xbf64b967c0297300,0xbf64c020a145b7a5,1 +np.float64,0xbfc5a91a342b5234,0xbfc7bafd77a61d81,1 +np.float64,0xbfe2226fe76444e0,0xbfeac33eb1d1b398,1 +np.float64,0x3fc6aaa8d42d5552,0x3fc4de79f5c68cd4,1 +np.float64,0x3fe54fd4c1ea9faa,0x3fe05561a9a5922b,1 +np.float64,0x80029c1f75653840,0x80029c1f75653840,1 +np.float64,0xbfcb4a84a2369508,0xbfceb1a23bac3995,1 +np.float64,0x80010abeff02157f,0x80010abeff02157f,1 +np.float64,0x7f92d12cf825a259,0x40860e49bde3a5b6,1 +np.float64,0x800933e7027267ce,0x800933e7027267ce,1 +np.float64,0x3fc022b12e204562,0x3fbe64acc53ed887,1 +np.float64,0xbfe35f938de6bf27,0xbfedc1f3e443c016,1 +np.float64,0x1f8d9bae3f1b4,0x1f8d9bae3f1b4,1 +np.float64,0x3fe552f22ceaa5e4,0x3fe057404072350f,1 +np.float64,0xbfa73753442e6ea0,0xbfa7c24a100190f1,1 +np.float64,0x7fb3e2982827c52f,0x408619d1efa676b6,1 +np.float64,0xbfd80cb7a5301970,0xbfde28e65f344f33,1 +np.float64,0xbfcde835973bd06c,0xbfd10806fba46c8f,1 +np.float64,0xbfd4e3c749a9c78e,0xbfd949aff65de39c,1 +np.float64,0x3fcb4b9d6f36973b,0x3fc8be02ad6dc0d3,1 +np.float64,0x1a63000034c7,0x1a63000034c7,1 +np.float64,0x7fdc9c751e3938e9,0x408627d22df71959,1 +np.float64,0x3fd74f3f712e9e7f,0x3fd3e07df0c37ec1,1 +np.float64,0xbfceab74d33d56e8,0xbfd187e99bf82903,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0xbfb2cca466259948,0xbfb3868208e8de30,1 +np.float64,0x800204688b8408d2,0x800204688b8408d2,1 +np.float64,0x3e4547407c8aa,0x3e4547407c8aa,1 +np.float64,0xbfe4668846e8cd10,0xbff03c85189f3818,1 +np.float64,0x800dd350245ba6a0,0x800dd350245ba6a0,1 +np.float64,0xbfbc13c160382780,0xbfbdbd56ce996d16,1 +np.float64,0x7fe25a628a24b4c4,0x408629d06eb2d64d,1 +np.float64,0x3fd19dabbc233b57,0x3fcf1f3ed1d34c8c,1 +np.float64,0x547e20faa8fc5,0x547e20faa8fc5,1 +np.float64,0xbfe19392c6232726,0xbfe97ffe4f303335,1 +np.float64,0x3f87f9f6702ff400,0x3f87d64fb471bb04,1 +np.float64,0x9dfc52db3bf8b,0x9dfc52db3bf8b,1 +np.float64,0x800e1f5a9adc3eb5,0x800e1f5a9adc3eb5,1 +np.float64,0xbfddbd09c8bb7a14,0xbfe3fed7d7cffc70,1 +np.float64,0xbfeda71af87b4e36,0xc004e6631c514544,1 +np.float64,0xbfdbfcfe1bb7f9fc,0xbfe266b5d4a56265,1 +np.float64,0x3fe4ee78cd69dcf2,0x3fe01abba4e81fc9,1 +np.float64,0x800f13b820de2770,0x800f13b820de2770,1 +np.float64,0x3f861e09702c3c00,0x3f85ffae83b02c4f,1 +np.float64,0xbfc0972479212e48,0xbfc1c4bf70b30cbc,1 +np.float64,0x7fef057ef57e0afd,0x40862e036479f6a9,1 +np.float64,0x8bdbabe517b76,0x8bdbabe517b76,1 +np.float64,0xbfec495417f892a8,0xc0013ade88746d18,1 +np.float64,0x3fec680ab3f8d015,0x3fe454dd304b560d,1 +np.float64,0xbfae7ce60c3cf9d0,0xbfaf6eef15bbe56b,1 +np.float64,0x3fec314124786282,0x3fe437ca06294f5a,1 +np.float64,0x7fd5ed05b82bda0a,0x408625b125518e58,1 +np.float64,0x3feac9f02f3593e0,0x3fe3768104dd5cb7,1 +np.float64,0x0,0x0,1 +np.float64,0xbfddd2abd5bba558,0xbfe41312b8ea20de,1 +np.float64,0xbfedf9558c7bf2ab,0xc00613c53e0bb33a,1 +np.float64,0x3fef245ffefe48c0,0x3fe5bfb4dfe3b7a5,1 +np.float64,0x7fe178604922f0c0,0x4086296b77d5eaef,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0x7fed026766ba04ce,0x40862d7a0dc45643,1 +np.float64,0xbfde27d8c3bc4fb2,0xbfe46336b6447697,1 +np.float64,0x3fe9485d9cb290bb,0x3fe2a1e4b6419423,1 +np.float64,0xbfe27b8a7464f715,0xbfeb9382f5b16f65,1 +np.float64,0x5c34d274b869b,0x5c34d274b869b,1 +np.float64,0xbfeee0b7453dc16f,0xc00acdb46459b6e6,1 +np.float64,0x7fe3dfb4d4e7bf69,0x40862a73785fdf12,1 +np.float64,0xb4635eef68c6c,0xb4635eef68c6c,1 +np.float64,0xbfe522a2c82a4546,0xbff148912a59a1d6,1 +np.float64,0x8009ba38a9737472,0x8009ba38a9737472,1 +np.float64,0xbfc056ff3820ae00,0xbfc17b2205fa180d,1 +np.float64,0x7fe1c8b8a0239170,0x4086298feeee6133,1 +np.float64,0x3fe2d2c6b9e5a58e,0x3fdd9b907471031b,1 +np.float64,0x3fa0a161bc2142c0,0x3fa05db36f6a073b,1 +np.float64,0x3fdef4268ebde84c,0x3fd93f980794d1e7,1 +np.float64,0x800ecd9fe2fd9b40,0x800ecd9fe2fd9b40,1 +np.float64,0xbfc9fbd45e33f7a8,0xbfcd0afc47c340f6,1 +np.float64,0x3fe8c3035b718606,0x3fe2570eb65551a1,1 +np.float64,0xbfe78c4ad2ef1896,0xbff54d25b3328742,1 +np.float64,0x8006f5dcf8adebbb,0x8006f5dcf8adebbb,1 +np.float64,0x800301dca2a603ba,0x800301dca2a603ba,1 +np.float64,0xad4289e55a851,0xad4289e55a851,1 +np.float64,0x80037764f9e6eecb,0x80037764f9e6eecb,1 +np.float64,0xbfe73575b26e6aec,0xbff4abfb5e985c62,1 +np.float64,0xbfc6cb91652d9724,0xbfc91a8001b33ec2,1 +np.float64,0xbfe3a918ffe75232,0xbfee7e6e4fd34c53,1 +np.float64,0x9bc84e2b3790a,0x9bc84e2b3790a,1 +np.float64,0x7fdeec303cbdd85f,0x408628714a49d996,1 +np.float64,0x3fe1d1dcb763a3ba,0x3fdc54ce060dc7f4,1 +np.float64,0x8008ae6432b15cc9,0x8008ae6432b15cc9,1 +np.float64,0x3fd8022fa2b00460,0x3fd46322bf02a609,1 +np.float64,0xbfc55b64472ab6c8,0xbfc75d9568f462e0,1 +np.float64,0xbfe8b165437162ca,0xbff7a15e2ead645f,1 +np.float64,0x7f759330feeb3,0x7f759330feeb3,1 +np.float64,0xbfd504f68eaa09ee,0xbfd97b06c01d7473,1 +np.float64,0x54702d5aa8e06,0x54702d5aa8e06,1 +np.float64,0xbfed1779337a2ef2,0xc0032f7109ef5a51,1 +np.float64,0xe248bd4dc4918,0xe248bd4dc4918,1 +np.float64,0xbfd8c59150318b22,0xbfdf53bca6ca8b1e,1 +np.float64,0xbfe3b9d942e773b2,0xbfeea9fcad277ba7,1 +np.float64,0x800934ec127269d9,0x800934ec127269d9,1 +np.float64,0xbfbb7f535a36fea8,0xbfbd16d61b6c52b8,1 +np.float64,0xccb185a199631,0xccb185a199631,1 +np.float64,0x3fe3dda76fe7bb4e,0x3fdee83bc6094301,1 +np.float64,0xbfe0c902f5e19206,0xbfe7ca7c0e888006,1 +np.float64,0xbfefeed08cbfdda1,0xc018aadc483c8724,1 +np.float64,0x7fd0c05c52a180b8,0x40862389daf64aac,1 +np.float64,0xbfd28e3323a51c66,0xbfd5e9ba278fb685,1 +np.float64,0xbef4103b7de82,0xbef4103b7de82,1 +np.float64,0x3fe7661fd12ecc40,0x3fe18ff7dfb696e2,1 +np.float64,0x3fddd5f2f0bbabe4,0x3fd87d8bb6719c3b,1 +np.float64,0x800b3914cfd6722a,0x800b3914cfd6722a,1 +np.float64,0xf3f09a97e7e14,0xf3f09a97e7e14,1 +np.float64,0x7f97092b502e1256,0x40860fe8054cf54e,1 +np.float64,0xbfdbec7917b7d8f2,0xbfe2580b4b792c79,1 +np.float64,0x7fe7ff215aaffe42,0x40862bf5887fa062,1 +np.float64,0x80080186e570030e,0x80080186e570030e,1 +np.float64,0xbfc27f05e624fe0c,0xbfc3fa214be4adc4,1 +np.float64,0x3fe4481be1689038,0x3fdf6b11e9c4ca72,1 +np.float64,0x3fd642cc9cac8598,0x3fd31a857fe70227,1 +np.float64,0xbef8782d7df0f,0xbef8782d7df0f,1 +np.float64,0x8003077dc2e60efc,0x8003077dc2e60efc,1 +np.float64,0x80083eb5a2507d6c,0x80083eb5a2507d6c,1 +np.float64,0x800e8d1eb77d1a3e,0x800e8d1eb77d1a3e,1 +np.float64,0xbfc7737cd22ee6f8,0xbfc9e7716f03f1fc,1 +np.float64,0xbfe9a2b4ddf3456a,0xbff9d71664a8fc78,1 +np.float64,0x7fe67c7d322cf8f9,0x40862b7066465194,1 +np.float64,0x3fec080ce2b8101a,0x3fe421dac225be46,1 +np.float64,0xbfe6d27beb6da4f8,0xbff3fbb1add521f7,1 +np.float64,0x3fdd4f96ceba9f2e,0x3fd821a638986dbe,1 +np.float64,0x3fbd89f1303b13e2,0x3fbbf49223a9d002,1 +np.float64,0xbfe94e2b9d329c57,0xbff907e549c534f5,1 +np.float64,0x3fe2f2cc51e5e599,0x3fddc3d6b4a834a1,1 +np.float64,0xfdcb5b49fb96c,0xfdcb5b49fb96c,1 +np.float64,0xbfea7108fa74e212,0xbffc01b392f4897b,1 +np.float64,0x3fd38baef7a7175c,0x3fd10e7fd3b958dd,1 +np.float64,0x3fa75bf9cc2eb800,0x3fa6d792ecdedb8e,1 +np.float64,0x7fd19fd20aa33fa3,0x408623f1e2cd04c3,1 +np.float64,0x3fd62c708dac58e0,0x3fd309ec7818d16e,1 +np.float64,0x3fdf489047be9120,0x3fd978640617c758,1 +np.float64,0x1,0x1,1 +np.float64,0xbfe21e7c3ea43cf8,0xbfeaba21320697d3,1 +np.float64,0xbfd3649047a6c920,0xbfd71a6f14223744,1 +np.float64,0xbfd68ca68c2d194e,0xbfdbcce6784e5d44,1 +np.float64,0x3fdb26b0ea364d62,0x3fd6a1f86f64ff74,1 +np.float64,0xbfd843821cb08704,0xbfde80e90805ab3f,1 +np.float64,0x3fd508a27aaa1144,0x3fd22fc203a7b9d8,1 +np.float64,0xbfdb951c7eb72a38,0xbfe20aeaec13699b,1 +np.float64,0x3fef556ba57eaad7,0x3fe5d8865cce0a6d,1 +np.float64,0x3fd0d224b3a1a448,0x3fcdde7be5d7e21e,1 +np.float64,0x8007ff272baffe4f,0x8007ff272baffe4f,1 +np.float64,0x3fe1c7bddf638f7c,0x3fdc47cc6cf2f5cd,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x2016d560402f,0x2016d560402f,1 +np.float64,0xbfcca10be9394218,0xbfd033f36b94fc54,1 +np.float64,0xbfdb833628b7066c,0xbfe1fb344b840c70,1 +np.float64,0x3fd8529cb3b0a539,0x3fd49d847fe77218,1 +np.float64,0xbfc0b0ebab2161d8,0xbfc1e260c60ffd1b,1 +np.float64,0xbfea8b9a79f51735,0xbffc4ee6be8a0fa2,1 +np.float64,0x7feca8fab7f951f4,0x40862d613e454646,1 +np.float64,0x7fd8c52d82318a5a,0x408626aaf37423a3,1 +np.float64,0xbfe364ad4526c95a,0xbfedcee39bc93ff5,1 +np.float64,0x800b78161256f02d,0x800b78161256f02d,1 +np.float64,0xbfd55f0153aabe02,0xbfda01a78f72d494,1 +np.float64,0x800315a5f0662b4d,0x800315a5f0662b4d,1 +np.float64,0x7fe4c0dca02981b8,0x40862acc27e4819f,1 +np.float64,0x8009825c703304b9,0x8009825c703304b9,1 +np.float64,0x3fe6e94e1cadd29c,0x3fe1478ccc634f49,1 +np.float64,0x7fe622d8586c45b0,0x40862b504177827e,1 +np.float64,0x3fe4458600688b0c,0x3fdf67e79a84b953,1 +np.float64,0xbfdd75d8a1baebb2,0xbfe3bc9e6ca1bbb5,1 +np.float64,0x3fde789c6bbcf138,0x3fd8ec1d435531b3,1 +np.float64,0x3fe7052b94ee0a58,0x3fe157c5c4418dc1,1 +np.float64,0x7fef31652abe62c9,0x40862e0eaeabcfc0,1 +np.float64,0x3fe279691ee4f2d2,0x3fdd2aa41eb43cd4,1 +np.float64,0xbfd533fa95aa67f6,0xbfd9c12f516d29d7,1 +np.float64,0x3fe6d057f96da0b0,0x3fe138fd96693a6a,1 +np.float64,0x800bad984f775b31,0x800bad984f775b31,1 +np.float64,0x7fdd6fdba4badfb6,0x4086280c73d8ef97,1 +np.float64,0x7fe9b5c0eef36b81,0x40862c82c6f57a53,1 +np.float64,0x8000bc02ece17807,0x8000bc02ece17807,1 +np.float64,0xbff0000000000000,0xfff0000000000000,1 +np.float64,0xbfed430be3fa8618,0xc003aaf338c75b3c,1 +np.float64,0x3fee17b759fc2f6f,0x3fe53668696bf48b,1 +np.float64,0x3f8d4cf9d03a9a00,0x3f8d17d2f532afdc,1 +np.float64,0x8005d6257b8bac4c,0x8005d6257b8bac4c,1 +np.float64,0xbfd17a6df9a2f4dc,0xbfd469e3848adc6e,1 +np.float64,0xb28a293965145,0xb28a293965145,1 +np.float64,0xbfe7d011e42fa024,0xbff5cf818998c8ec,1 +np.float64,0xbfe74f0f136e9e1e,0xbff4dad6ebb0443c,1 +np.float64,0x800f249fc9be4940,0x800f249fc9be4940,1 +np.float64,0x2542f8fe4a860,0x2542f8fe4a860,1 +np.float64,0xc48d40cd891a8,0xc48d40cd891a8,1 +np.float64,0x3fe4e64bc8e9cc98,0x3fe015c9eb3caa53,1 +np.float64,0x3fd33881eca67104,0x3fd0cea886be2457,1 +np.float64,0xbfd01748fba02e92,0xbfd28875959e6901,1 +np.float64,0x7fb7ab01f22f5603,0x40861b369927bf53,1 +np.float64,0xbfe340274ce6804e,0xbfed72b39f0ebb24,1 +np.float64,0x7fc16c0c3422d817,0x40861e4eaf1a286c,1 +np.float64,0x3fc26944a324d288,0x3fc133a77b356ac4,1 +np.float64,0xa149d7134293b,0xa149d7134293b,1 +np.float64,0x800837382d106e71,0x800837382d106e71,1 +np.float64,0x797d1740f2fa4,0x797d1740f2fa4,1 +np.float64,0xc3f15b7787e2c,0xc3f15b7787e2c,1 +np.float64,0x80cad1b90195a,0x80cad1b90195a,1 +np.float64,0x3fdd8f1142bb1e23,0x3fd84d21490d1ce6,1 +np.float64,0xbfbde6c9123bcd90,0xbfbfcc030a86836a,1 +np.float64,0x8007f77e032feefd,0x8007f77e032feefd,1 +np.float64,0x3fe74fed1c6e9fda,0x3fe18322cf19cb61,1 +np.float64,0xbfd8a40bbcb14818,0xbfdf1d23520ba74b,1 +np.float64,0xbfeb7a0e6076f41d,0xbfff4ddfb926efa5,1 +np.float64,0xbfcb8c5f663718c0,0xbfcf0570f702bda9,1 +np.float64,0xf668cd97ecd1a,0xf668cd97ecd1a,1 +np.float64,0xbfe92accf572559a,0xbff8b4393878ffdb,1 +np.float64,0xbfeaa955567552ab,0xbffca70c7d73eee5,1 +np.float64,0xbfe083a14f610742,0xbfe739d84bc35077,1 +np.float64,0x78290568f0521,0x78290568f0521,1 +np.float64,0x3fe94bae2372975c,0x3fe2a3beac5c9858,1 +np.float64,0x3fca4fbab9349f78,0x3fc7edbca2492acb,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0x7fb9eb505433d6a0,0x40861bf0adedb74d,1 +np.float64,0x7fdc66f72a38cded,0x408627c32aeecf0f,1 +np.float64,0x2e8e6f445d1cf,0x2e8e6f445d1cf,1 +np.float64,0xbfec43195af88633,0xc0012d7e3f91b7e8,1 +np.float64,0x7fcdb971e93b72e3,0x40862294c9e3a7bc,1 +np.float64,0x800cabc461195789,0x800cabc461195789,1 +np.float64,0x2c79709c58f2f,0x2c79709c58f2f,1 +np.float64,0x8005d772d3cbaee6,0x8005d772d3cbaee6,1 +np.float64,0x3fe84d8c03709b18,0x3fe21490ce3673dd,1 +np.float64,0x7fe5578adc2aaf15,0x40862b056e8437d4,1 +np.float64,0xbf91298c58225320,0xbf914ec86c32d11f,1 +np.float64,0xc7ed2b6d8fda6,0xc7ed2b6d8fda6,1 +np.float64,0x2761404c4ec29,0x2761404c4ec29,1 +np.float64,0x3fbad3c48835a789,0x3fb9833c02385305,1 +np.float64,0x3fa46fee5428dfe0,0x3fa40a357fb24c23,1 +np.float64,0xbfe3900c6fe72019,0xbfee3dba29dd9d43,1 +np.float64,0x3fe7a9e41a6f53c8,0x3fe1b704dfb9884b,1 +np.float64,0xbfe74a7a1eee94f4,0xbff4d269cacb1f29,1 +np.float64,0xbfee609c72fcc139,0xc007da8499d34123,1 +np.float64,0x3fef2d5fc23e5ac0,0x3fe5c44414e59cb4,1 +np.float64,0xbfd7bdc0402f7b80,0xbfddaae1e7bb78fb,1 +np.float64,0xd71ee01dae3dc,0xd71ee01dae3dc,1 +np.float64,0x3fe98cbcdef3197a,0x3fe2c7ffe33c4541,1 +np.float64,0x8000f8dbb3a1f1b8,0x8000f8dbb3a1f1b8,1 +np.float64,0x3fe3e98ad567d316,0x3fdef6e58058313f,1 +np.float64,0x41ad0bfc835a2,0x41ad0bfc835a2,1 +np.float64,0x7fdcc2dc0d3985b7,0x408627dce39f77af,1 +np.float64,0xbfe47b980de8f730,0xbff059acdccd6e2b,1 +np.float64,0xbfef49b6577e936d,0xc00e714f46b2ccc1,1 +np.float64,0x3fac31816c386300,0x3fab71cb92b0db8f,1 +np.float64,0x3fe59097e76b2130,0x3fe07c299fd1127c,1 +np.float64,0xbfecf0df5cf9e1bf,0xc002c7ebdd65039c,1 +np.float64,0x3fd2b7d0b6a56fa1,0x3fd06b638990ae02,1 +np.float64,0xbfeb68deecf6d1be,0xbfff1187e042d3e4,1 +np.float64,0x3fd44a9771a8952f,0x3fd1a01867c5e302,1 +np.float64,0xf79a9dedef354,0xf79a9dedef354,1 +np.float64,0x800c25a170d84b43,0x800c25a170d84b43,1 +np.float64,0x3ff0000000000000,0x3fe62e42fefa39ef,1 +np.float64,0x3fbff4f7623fe9f0,0x3fbe1d3878f4c417,1 +np.float64,0xd284c845a5099,0xd284c845a5099,1 +np.float64,0xbfe3c7815f678f02,0xbfeecdab5ca2e651,1 +np.float64,0x3fc19c934e233927,0x3fc08036104b1f23,1 +np.float64,0x800b6096de16c12e,0x800b6096de16c12e,1 +np.float64,0xbfe962a67e32c54d,0xbff9392313a112a1,1 +np.float64,0x2b9d0116573a1,0x2b9d0116573a1,1 +np.float64,0x3fcab269ed3564d4,0x3fc83f7e1c3095b7,1 +np.float64,0x3fc8c78d86318f1b,0x3fc6a6cde5696f99,1 +np.float64,0xd5b1e9b5ab63d,0xd5b1e9b5ab63d,1 +np.float64,0xbfed802a47fb0054,0xc00465cad3b5b0ef,1 +np.float64,0xbfd73aaf08ae755e,0xbfdcdbd62b8af271,1 +np.float64,0xbfd4f13c0229e278,0xbfd95dacff79e570,1 +np.float64,0xbfe9622808f2c450,0xbff937f13c397e8d,1 +np.float64,0xbfeddfa62efbbf4c,0xc005b0c835eed829,1 +np.float64,0x3fd65663d4acacc8,0x3fd3290cd0e675dc,1 +np.float64,0x8005e890f1abd123,0x8005e890f1abd123,1 +np.float64,0xbfe924919fb24923,0xbff8a5a827a28756,1 +np.float64,0x3fe8cdf490719be9,0x3fe25d39535e8366,1 +np.float64,0x7fc229e6ff2453cd,0x40861ea40ef87a5a,1 +np.float64,0x3fe5cf53ceeb9ea8,0x3fe0a18e0b65f27e,1 +np.float64,0xa79cf6fb4f39f,0xa79cf6fb4f39f,1 +np.float64,0x7fddbb3c0f3b7677,0x40862820d5edf310,1 +np.float64,0x3e1011de7c203,0x3e1011de7c203,1 +np.float64,0x3fc0b59a83216b38,0x3fbf6916510ff411,1 +np.float64,0x8647f98d0c8ff,0x8647f98d0c8ff,1 +np.float64,0x8005dad33ecbb5a7,0x8005dad33ecbb5a7,1 +np.float64,0x8a80d0631501a,0x8a80d0631501a,1 +np.float64,0xbfe18f7d6ee31efb,0xbfe976f06713afc1,1 +np.float64,0xbfe06eaed560dd5e,0xbfe70eac696933e6,1 +np.float64,0xbfed8ef93c7b1df2,0xc00495bfa3195b53,1 +np.float64,0x3febe9c24677d385,0x3fe411b10db16c42,1 +np.float64,0x7fd5d80c1fabb017,0x408625a97a7787ba,1 +np.float64,0x3fca79b59334f368,0x3fc8108a521341dc,1 +np.float64,0xbfccf8db4339f1b8,0xbfd06c9a5424aadb,1 +np.float64,0xbfea5ac5a574b58b,0xbffbc21d1405d840,1 +np.float64,0x800ce2bf4b19c57f,0x800ce2bf4b19c57f,1 +np.float64,0xbfe8df896d31bf13,0xbff807ab38ac41ab,1 +np.float64,0x3feab83da9f5707c,0x3fe36cdd827c0eff,1 +np.float64,0x3fee717683bce2ed,0x3fe564879171719b,1 +np.float64,0x80025e5577c4bcac,0x80025e5577c4bcac,1 +np.float64,0x3fe3e5378e67ca70,0x3fdef1902c5d1efd,1 +np.float64,0x3fa014bb7c202980,0x3f9faacf9238d499,1 +np.float64,0x3fddbf5e16bb7ebc,0x3fd86e2311cb0f6d,1 +np.float64,0x3fd24e50e6a49ca0,0x3fd0198f04f82186,1 +np.float64,0x656b5214cad6b,0x656b5214cad6b,1 +np.float64,0x8b0a4bfd1614a,0x8b0a4bfd1614a,1 +np.float64,0xbfeeb6bd9e7d6d7b,0xc009b669285e319e,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0xbfe719feceee33fe,0xbff47a4c8cbf0cca,1 +np.float64,0xbfd14fa8c8a29f52,0xbfd42f27b1aced39,1 +np.float64,0x7fec9dcb80f93b96,0x40862d5e1e70bbb9,1 +np.float64,0x7fecacb826f9596f,0x40862d6249746915,1 +np.float64,0x973459f52e68b,0x973459f52e68b,1 +np.float64,0x7f40a59e00214b3b,0x4085f194f45f82b1,1 +np.float64,0x7fc5dbaec32bb75d,0x4086201f3e7065d9,1 +np.float64,0x82d0801305a10,0x82d0801305a10,1 +np.float64,0x7fec81c0f4790381,0x40862d5643c0fc85,1 +np.float64,0xbfe2d81e9ee5b03d,0xbfec71a8e864ea40,1 +np.float64,0x6c545c9ad8a8c,0x6c545c9ad8a8c,1 +np.float64,0x3f9be95a5037d2b5,0x3f9b89b48ac8f5d8,1 +np.float64,0x8000cae9702195d4,0x8000cae9702195d4,1 +np.float64,0xbfd375f45126ebe8,0xbfd733677e54a80d,1 +np.float64,0x3fd29a5b81a534b7,0x3fd05494bf200278,1 +np.float64,0xfff0000000000000,0xfff8000000000000,1 +np.float64,0x7fca8fc195351f82,0x408621ae61aa6c13,1 +np.float64,0x1b28e2ae3651d,0x1b28e2ae3651d,1 +np.float64,0x3fe7fdbd14effb7a,0x3fe1e714884b46a8,1 +np.float64,0x3fdf1ce068be39c0,0x3fd95b054e0fad3d,1 +np.float64,0x3fe79f9a636f3f34,0x3fe1b11a40c00b3e,1 +np.float64,0x3fe60eb7036c1d6e,0x3fe0c72a02176874,1 +np.float64,0x229da17e453b5,0x229da17e453b5,1 +np.float64,0x3fc1a921b5235240,0x3fc08b3f35e47fb1,1 +np.float64,0xbb92d2af7725b,0xbb92d2af7725b,1 +np.float64,0x3fe4110cb1e8221a,0x3fdf2787de6c73f7,1 +np.float64,0xbfbc87771a390ef0,0xbfbe3f6e95622363,1 +np.float64,0xbfe74025dfee804c,0xbff4bf7b1895e697,1 +np.float64,0x964eb6592c9d7,0x964eb6592c9d7,1 +np.float64,0x3f951689b82a2d00,0x3f94dfb38d746fdf,1 +np.float64,0x800356271be6ac4f,0x800356271be6ac4f,1 +np.float64,0x7fefffffffffffff,0x40862e42fefa39ef,1 +np.float64,0xbfed5ce250fab9c5,0xc003f7ddfeb94345,1 +np.float64,0x3fec3d5dc1387abc,0x3fe43e39c02d86f4,1 +np.float64,0x3999897e73332,0x3999897e73332,1 +np.float64,0xbfdcb57744b96aee,0xbfe30c4b98f3d088,1 +np.float64,0x7f961fb0b82c3f60,0x40860f9549c3a380,1 +np.float64,0x67d6efcacfadf,0x67d6efcacfadf,1 +np.float64,0x8002c9498f859294,0x8002c9498f859294,1 +np.float64,0xbfa3033800260670,0xbfa35fe3bf43e188,1 +np.float64,0xbfeab2fc157565f8,0xbffcc413c486b4eb,1 +np.float64,0x3fe25e62f364bcc6,0x3fdd0856e19e3430,1 +np.float64,0x7fb2f42dda25e85b,0x4086196fb34a65fd,1 +np.float64,0x3fe0f1a5af61e34c,0x3fdb3235a1786efb,1 +np.float64,0x800a340ca1f4681a,0x800a340ca1f4681a,1 +np.float64,0x7c20b9def8418,0x7c20b9def8418,1 +np.float64,0xdf0842a1be109,0xdf0842a1be109,1 +np.float64,0x3fe9f22cc2f3e45a,0x3fe300359b842bf0,1 +np.float64,0x3fe389ed73e713da,0x3fde809780fe4432,1 +np.float64,0x9500fb932a020,0x9500fb932a020,1 +np.float64,0x3fd8a21ffdb14440,0x3fd4d70862345d86,1 +np.float64,0x800d99c15cbb3383,0x800d99c15cbb3383,1 +np.float64,0x3fd96c98c932d932,0x3fd568959c9b028f,1 +np.float64,0x7fc228483a24508f,0x40861ea358420976,1 +np.float64,0x7fc6737bef2ce6f7,0x408620560ffc6a98,1 +np.float64,0xbfb2c27cee2584f8,0xbfb37b8cc7774b5f,1 +np.float64,0xbfd18409f9230814,0xbfd4771d1a9a24fb,1 +np.float64,0x3fb53cb3f42a7968,0x3fb466f06f88044b,1 +np.float64,0x3fef61d0187ec3a0,0x3fe5dec8a9d13dd9,1 +np.float64,0x3fe59a6ffd2b34e0,0x3fe0820a99c6143d,1 +np.float64,0x3fce18aff43c3160,0x3fcb07c7b523f0d1,1 +np.float64,0xbfb1319a62226338,0xbfb1cc62f31b2b40,1 +np.float64,0xa00cce6d4019a,0xa00cce6d4019a,1 +np.float64,0x80068ae8e0ed15d3,0x80068ae8e0ed15d3,1 +np.float64,0x3fecef353239de6a,0x3fe49c280adc607b,1 +np.float64,0x3fdf1a7fb0be34ff,0x3fd9596bafe2d766,1 +np.float64,0x3feb5e12eeb6bc26,0x3fe3c6be3ede8d07,1 +np.float64,0x3fdeff5cd43dfeba,0x3fd947262ec96b05,1 +np.float64,0x3f995e75e832bd00,0x3f990f511f4c7f1c,1 +np.float64,0xbfeb5b3ed0b6b67e,0xbffee24fc0fc2881,1 +np.float64,0x7fb82aad0a305559,0x40861b614d901182,1 +np.float64,0xbfe5c3a4926b8749,0xbff23cd0ad144fe6,1 +np.float64,0x3fef47da373e8fb4,0x3fe5d1aaa4031993,1 +np.float64,0x7fc6a8c3872d5186,0x40862068f5ca84be,1 +np.float64,0x7fc0c2276221844e,0x40861dff2566d001,1 +np.float64,0x7fc9ce7d28339cf9,0x40862173541f84d1,1 +np.float64,0x3fce2c34933c5869,0x3fcb179428ad241d,1 +np.float64,0xbfcf864c293f0c98,0xbfd21872c4821cfc,1 +np.float64,0x3fc51fd1f82a3fa4,0x3fc38d4f1685c166,1 +np.float64,0xbfe2707b70a4e0f7,0xbfeb795fbd5bb444,1 +np.float64,0x46629b568cc54,0x46629b568cc54,1 +np.float64,0x7fe5f821f32bf043,0x40862b40c2cdea3f,1 +np.float64,0x3fedd2c9457ba592,0x3fe512ce92394526,1 +np.float64,0x7fe6dcb8ceadb971,0x40862b925a7dc05d,1 +np.float64,0x3fd1b983b4a37307,0x3fcf4ae2545cf64e,1 +np.float64,0xbfe1c93104639262,0xbfe9f7d28e4c0c82,1 +np.float64,0x995ebc2932bd8,0x995ebc2932bd8,1 +np.float64,0x800a4c3ee614987e,0x800a4c3ee614987e,1 +np.float64,0x3fbb58766e36b0f0,0x3fb9fb3b9810ec16,1 +np.float64,0xbfe36d636666dac7,0xbfede5080f69053c,1 +np.float64,0x3f4feee1003fddc2,0x3f4feae5f05443d1,1 +np.float64,0x3fed0b772ffa16ee,0x3fe4aafb924903c6,1 +np.float64,0x800bb3faef3767f6,0x800bb3faef3767f6,1 +np.float64,0x3fe285cda5e50b9c,0x3fdd3a58df06c427,1 +np.float64,0x7feb9d560bb73aab,0x40862d152362bb94,1 +np.float64,0x3fecd1f447f9a3e9,0x3fe48cc78288cb3f,1 +np.float64,0x3fca927b0c3524f6,0x3fc8250f49ba28df,1 +np.float64,0x7fcc19944e383328,0x40862221b02fcf43,1 +np.float64,0xbfd8ddf41db1bbe8,0xbfdf7b92073ff2fd,1 +np.float64,0x80006fe736e0dfcf,0x80006fe736e0dfcf,1 +np.float64,0x800bbeb66d577d6d,0x800bbeb66d577d6d,1 +np.float64,0xbfe4329353e86526,0xbfefeaf19ab92b42,1 +np.float64,0x2fad72805f5af,0x2fad72805f5af,1 +np.float64,0x3fe1b827aa637050,0x3fdc33bf46012c0d,1 +np.float64,0x3fc3f3f8e227e7f2,0x3fc28aeb86d65278,1 +np.float64,0x3fec018933780312,0x3fe41e619aa4285c,1 +np.float64,0xbfd92428e0b24852,0xbfdfeecb08d154df,1 +np.float64,0x2d7046845ae0a,0x2d7046845ae0a,1 +np.float64,0x7fde7fd2233cffa3,0x408628550f8a948f,1 +np.float64,0x8000a32cd241465a,0x8000a32cd241465a,1 +np.float64,0x8004267a45084cf5,0x8004267a45084cf5,1 +np.float64,0xbfe6b422556d6844,0xbff3c71f67661e6e,1 +np.float64,0x3fe3a37d922746fb,0x3fdea04e04d6195c,1 +np.float64,0xbfddcc54b53b98aa,0xbfe40d2389cdb848,1 +np.float64,0x3fe18b4b92a31697,0x3fdbf9e68cbf5794,1 +np.float64,0x7fc9c5b2ee338b65,0x408621709a17a47a,1 +np.float64,0x1ebd1ce03d7b,0x1ebd1ce03d7b,1 +np.float64,0x8008a6fc39d14df9,0x8008a6fc39d14df9,1 +np.float64,0x3fec11384c782270,0x3fe426bdaedd2965,1 +np.float64,0x3fefc28344ff8507,0x3fe60f75d34fc3d2,1 +np.float64,0xc35f379786be7,0xc35f379786be7,1 +np.float64,0x3feef51f4a7dea3e,0x3fe5a7b95d7786b5,1 +np.float64,0x3fec9b9f0379373e,0x3fe4702477abbb63,1 +np.float64,0x3fde94f8cdbd29f0,0x3fd8ff50f7df0a6f,1 +np.float64,0xbfed32d1cdfa65a4,0xc0037c1470f6f979,1 +np.float64,0x800d3ba44f5a7749,0x800d3ba44f5a7749,1 +np.float64,0x3fe3c56c8fe78ad9,0x3fdeca4eb9bb8918,1 +np.float64,0xbfe7c97242ef92e4,0xbff5c2950dfd6f69,1 +np.float64,0xbd9440057b288,0xbd9440057b288,1 +np.float64,0x7feb2fc111f65f81,0x40862cf524bd2001,1 +np.float64,0x800a431e2df4863d,0x800a431e2df4863d,1 +np.float64,0x80038a3b79e71478,0x80038a3b79e71478,1 +np.float64,0x80000c93d4601928,0x80000c93d4601928,1 +np.float64,0x7fe9fec022f3fd7f,0x40862c995db8ada0,1 +np.float64,0x3fead0129c35a025,0x3fe379d7a92c8f79,1 +np.float64,0x3fdd8cbaf7bb1974,0x3fd84b87ff0c26c7,1 +np.float64,0x3fe8fb7c60b1f6f9,0x3fe276d5339e7135,1 +np.float64,0x85a255e10b44b,0x85a255e10b44b,1 +np.float64,0xbfe507c23fea0f84,0xbff1212d2260022a,1 +np.float64,0x3fc5487c7b2a90f9,0x3fc3b03222d3d148,1 +np.float64,0x7fec0bdcb8f817b8,0x40862d34e8fd11e7,1 +np.float64,0xbfc5f34b4f2be698,0xbfc8146a899c7a0c,1 +np.float64,0xbfa2a49c14254940,0xbfa2fdab2eae3826,1 +np.float64,0x800ec52f15dd8a5e,0x800ec52f15dd8a5e,1 +np.float64,0xbfe3ba4b12a77496,0xbfeeab256b3e9422,1 +np.float64,0x80034d6c7ba69ada,0x80034d6c7ba69ada,1 +np.float64,0x7fd394d4202729a7,0x408624c98a216742,1 +np.float64,0xbfd4493a38289274,0xbfd865d67af2de91,1 +np.float64,0xe47d6203c8fad,0xe47d6203c8fad,1 +np.float64,0x98eb4e4b31d6a,0x98eb4e4b31d6a,1 +np.float64,0x4507fb128a100,0x4507fb128a100,1 +np.float64,0xbfc77032e42ee064,0xbfc9e36ab747a14d,1 +np.float64,0xa1f8a03b43f14,0xa1f8a03b43f14,1 +np.float64,0xbfc3d4da8527a9b4,0xbfc58c27af2476b0,1 +np.float64,0x3fc0eb7d6921d6fb,0x3fbfc858a077ed61,1 +np.float64,0x7fddb2e9403b65d2,0x4086281e98443709,1 +np.float64,0xbfa7ea62942fd4c0,0xbfa87dfd06b05d2a,1 +np.float64,0xbfe7d5c5426fab8a,0xbff5daa969c6d9e5,1 +np.float64,0x3fbf7cba0c3ef974,0x3fbdb23cd8fe875b,1 +np.float64,0x7fe92021eb324043,0x40862c53aee8b154,1 +np.float64,0x7fefbaa1827f7542,0x40862e3194737072,1 +np.float64,0x3fc6f82c402df059,0x3fc520432cbc533f,1 +np.float64,0x7fb37679a826ecf2,0x408619a5f857e27f,1 +np.float64,0x79ec1528f3d83,0x79ec1528f3d83,1 +np.float64,0x3fbefe1d0c3dfc3a,0x3fbd41650ba2c893,1 +np.float64,0x3fc3e5e11827cbc2,0x3fc27eb9b47c9c42,1 +np.float64,0x16aed1922d5db,0x16aed1922d5db,1 +np.float64,0x800124f7e58249f1,0x800124f7e58249f1,1 +np.float64,0x8004f7d12489efa3,0x8004f7d12489efa3,1 +np.float64,0x3fef80b8e27f0172,0x3fe5ee5fd43322c6,1 +np.float64,0xbfe7740c88eee819,0xbff51f823c8da14d,1 +np.float64,0xbfe6e1f1f6edc3e4,0xbff416bcb1302e7c,1 +np.float64,0x8001a2c4a7e3458a,0x8001a2c4a7e3458a,1 +np.float64,0x3fe861e155f0c3c2,0x3fe2201d3000c329,1 +np.float64,0x3fd00a101a201420,0x3fcca01087dbd728,1 +np.float64,0x7fdf0eb1133e1d61,0x4086287a327839b8,1 +np.float64,0x95e3ffdb2bc80,0x95e3ffdb2bc80,1 +np.float64,0x3fd87a1e8230f43d,0x3fd4ba1eb9be1270,1 +np.float64,0x3fedc4792afb88f2,0x3fe50b6529080f73,1 +np.float64,0x7fc9e81fa833d03e,0x4086217b428cc6ff,1 +np.float64,0xbfd21f1ba5a43e38,0xbfd54e048b988e09,1 +np.float64,0xbfbf52af5a3ea560,0xbfc0b4ab3b81fafc,1 +np.float64,0x7fe475f8e268ebf1,0x40862aaf14fee029,1 +np.float64,0x3fcf56899f3ead10,0x3fcc081de28ae9cf,1 +np.float64,0x917d407122fa8,0x917d407122fa8,1 +np.float64,0x22e23e3245c49,0x22e23e3245c49,1 +np.float64,0xbfeec2814f3d8503,0xc00a00ecca27b426,1 +np.float64,0xbfd97fee1c32ffdc,0xbfe04351dfe306ec,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log2.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log2.csv new file mode 100644 index 0000000000000000000000000000000000000000..26921ef1df12ca02f7a4c68e899685c38f0b54d0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-log2.csv @@ -0,0 +1,1629 @@ +dtype,input,output,ulperrortol +np.float32,0x80000000,0xff800000,3 +np.float32,0x7f12870a,0x42fe63db,3 +np.float32,0x3ef29cf5,0xbf89eb12,3 +np.float32,0x3d6ba8fb,0xc083d26c,3 +np.float32,0x3d9907e8,0xc06f8230,3 +np.float32,0x4ee592,0xc2fd656e,3 +np.float32,0x58d8b1,0xc2fd0db3,3 +np.float32,0x7ba103,0xc2fc19aa,3 +np.float32,0x7f52e90e,0x42ff70e4,3 +np.float32,0x7fcb15,0xc2fc0132,3 +np.float32,0x7cb7129f,0x42f50855,3 +np.float32,0x9faba,0xc301ae59,3 +np.float32,0x7f300a,0xc2fc04b4,3 +np.float32,0x3f0bf047,0xbf5f10cb,3 +np.float32,0x2fb1fb,0xc2fed934,3 +np.float32,0x3eedb0d1,0xbf8db417,3 +np.float32,0x3d7a0b40,0xc0811638,3 +np.float32,0x2e0bac,0xc2fef334,3 +np.float32,0x6278c1,0xc2fcc1b9,3 +np.float32,0x7f61ab2e,0x42ffa2d9,3 +np.float32,0x8fe7c,0xc301d4be,3 +np.float32,0x3f25e6ee,0xbf203536,3 +np.float32,0x7efc78f0,0x42fdf5c0,3 +np.float32,0x6d7304,0xc2fc73a7,3 +np.float32,0x7f1a472a,0x42fe89ed,3 +np.float32,0x7dd029a6,0x42f96734,3 +np.float32,0x3e9b9327,0xbfdbf8f7,3 +np.float32,0x3f4eefc1,0xbe9d2942,3 +np.float32,0x7f5b9b64,0x42ff8ebc,3 +np.float32,0x3e458ee1,0xc017ed6e,3 +np.float32,0x3f7b766b,0xbcd35acf,3 +np.float32,0x3e616070,0xc00bc378,3 +np.float32,0x7f20e633,0x42fea8f8,3 +np.float32,0x3ee3b461,0xbf95a126,3 +np.float32,0x7e7722ba,0x42fbe5f8,3 +np.float32,0x3f0873d7,0xbf6861fa,3 +np.float32,0x7b4cb2,0xc2fc1ba3,3 +np.float32,0x3f0b6b02,0xbf60712e,3 +np.float32,0x9bff4,0xc301b6f2,3 +np.float32,0x3f07be25,0xbf6a4f0c,3 +np.float32,0x3ef10e57,0xbf8b1b75,3 +np.float32,0x46ad75,0xc2fdb6b1,3 +np.float32,0x3f7bc542,0xbcc4e3a9,3 +np.float32,0x3f6673d4,0xbe1b509c,3 +np.float32,0x7f19fe59,0x42fe8890,3 +np.float32,0x7f800000,0x7f800000,3 +np.float32,0x7f2fe696,0x42feead0,3 +np.float32,0x3dc9432d,0xc0563655,3 +np.float32,0x3ee47623,0xbf950446,3 +np.float32,0x3f1f8817,0xbf2eab51,3 +np.float32,0x7f220ec5,0x42feae44,3 +np.float32,0x2325e3,0xc2ffbab1,3 +np.float32,0x29dfc8,0xc2ff395a,3 +np.float32,0x7f524950,0x42ff6eb3,3 +np.float32,0x3e2234e0,0xc02a21c8,3 +np.float32,0x7f1c6f5a,0x42fe942f,3 +np.float32,0x3b6a61,0xc2fe36e7,3 +np.float32,0x3f1df90e,0xbf324ba9,3 +np.float32,0xb57f0,0xc3017f07,3 +np.float32,0x7d0eba,0xc2fc112e,3 +np.float32,0x403aa9,0xc2fdfd5c,3 +np.float32,0x3e74ecc7,0xc004155f,3 +np.float32,0x17509c,0xc30074f2,3 +np.float32,0x7f62196b,0x42ffa442,3 +np.float32,0x3ecef9a9,0xbfa7417a,3 +np.float32,0x7f14b158,0x42fe6eb1,3 +np.float32,0x3ede12be,0xbf9a40fe,3 +np.float32,0x42cfaa,0xc2fde03f,3 +np.float32,0x3f407b0f,0xbed2a6f5,3 +np.float32,0x7f7fffff,0x43000000,3 +np.float32,0x5467c6,0xc2fd3394,3 +np.float32,0x7ea6b80f,0x42fcc336,3 +np.float32,0x3f21e7b2,0xbf293704,3 +np.float32,0x3dc7e9eb,0xc056d542,3 +np.float32,0x7f3e6e67,0x42ff2571,3 +np.float32,0x3e3e809d,0xc01b4911,3 +np.float32,0x3f800000,0x0,3 +np.float32,0x3d8fd238,0xc0753d52,3 +np.float32,0x3f74aa65,0xbd85cd0e,3 +np.float32,0x7ec30305,0x42fd36ff,3 +np.float32,0x3e97bb93,0xbfe0971d,3 +np.float32,0x3e109d9c,0xc034bb1b,3 +np.float32,0x3f4a0b67,0xbeaed537,3 +np.float32,0x3f25a7aa,0xbf20c228,3 +np.float32,0x3ebc05eb,0xbfb8fd6b,3 +np.float32,0x3eebe749,0xbf8f18e5,3 +np.float32,0x3e9dc479,0xbfd96356,3 +np.float32,0x7f245200,0x42feb882,3 +np.float32,0x1573a8,0xc30093b5,3 +np.float32,0x3e66c4b9,0xc00994a6,3 +np.float32,0x3e73bffc,0xc0048709,3 +np.float32,0x3dfef8e5,0xc0405f16,3 +np.float32,0x403750,0xc2fdfd83,3 +np.float32,0x3ebedf17,0xbfb636a4,3 +np.float32,0x15cae6,0xc3008de2,3 +np.float32,0x3edf4d4e,0xbf993c24,3 +np.float32,0x3f7cc41e,0xbc963fb3,3 +np.float32,0x3e9e12a4,0xbfd907ee,3 +np.float32,0x7ded7b59,0x42f9c889,3 +np.float32,0x7f034878,0x42fe12b5,3 +np.float32,0x7ddce43f,0x42f9930b,3 +np.float32,0x3d82b257,0xc07e1333,3 +np.float32,0x3dae89c1,0xc0635dd4,3 +np.float32,0x6b1d00,0xc2fc8396,3 +np.float32,0x449a5a,0xc2fdccb3,3 +np.float32,0x4e89d2,0xc2fd68cb,3 +np.float32,0x7e1ae83f,0x42fa8cef,3 +np.float32,0x7e4bb22c,0x42fb572e,3 +np.float32,0x3de308ea,0xc04b1634,3 +np.float32,0x7f238c7a,0x42feb508,3 +np.float32,0x3f6c62a3,0xbdeb86f3,3 +np.float32,0x3e58cba6,0xc00f5908,3 +np.float32,0x7f7dd91f,0x42fff9c4,3 +np.float32,0x3d989376,0xc06fc88d,3 +np.float32,0x3dd013c5,0xc0532339,3 +np.float32,0x4b17e6,0xc2fd89ed,3 +np.float32,0x7f67f287,0x42ffb71e,3 +np.float32,0x3f69365e,0xbe09ba3c,3 +np.float32,0x3e4b8b21,0xc0152bf1,3 +np.float32,0x3a75b,0xc3032171,3 +np.float32,0x7f303676,0x42feec1f,3 +np.float32,0x7f6570e5,0x42ffaf18,3 +np.float32,0x3f5ed61e,0xbe4cf676,3 +np.float32,0x3e9b22f9,0xbfdc7e4f,3 +np.float32,0x2c095e,0xc2ff1428,3 +np.float32,0x3f1b17c1,0xbf391754,3 +np.float32,0x422dc6,0xc2fde746,3 +np.float32,0x3f677c8d,0xbe14b365,3 +np.float32,0x3ef85d0c,0xbf8597a9,3 +np.float32,0x3ecaaa6b,0xbfab2430,3 +np.float32,0x3f0607d1,0xbf6eff3d,3 +np.float32,0x3f011fdb,0xbf7cc50d,3 +np.float32,0x6ed7c1,0xc2fc6a4e,3 +np.float32,0x7ec2d1a2,0x42fd3644,3 +np.float32,0x3f75b7fe,0xbd7238a2,3 +np.float32,0x3ef2d146,0xbf89c344,3 +np.float32,0x7ec2cd27,0x42fd3633,3 +np.float32,0x7ee1e55a,0x42fda397,3 +np.float32,0x7f464d6a,0x42ff435c,3 +np.float32,0x7f469a93,0x42ff447b,3 +np.float32,0x7ece752f,0x42fd6121,3 +np.float32,0x2ed878,0xc2fee67b,3 +np.float32,0x75b23,0xc3021eff,3 +np.float32,0x3e0f4be4,0xc03593b8,3 +np.float32,0x2778e1,0xc2ff64fc,3 +np.float32,0x5fe2b7,0xc2fcd561,3 +np.float32,0x19b8a9,0xc30050ab,3 +np.float32,0x7df303e5,0x42f9d98d,3 +np.float32,0x608b8d,0xc2fcd051,3 +np.float32,0x588f46,0xc2fd1017,3 +np.float32,0x3eec6a11,0xbf8eb2a1,3 +np.float32,0x3f714121,0xbdaf4906,3 +np.float32,0x7f4f7b9e,0x42ff64c9,3 +np.float32,0x3c271606,0xc0d3b29c,3 +np.float32,0x3f002fe0,0xbf7f75f6,3 +np.float32,0x7efa4798,0x42fdef4f,3 +np.float32,0x3f61a865,0xbe3a601a,3 +np.float32,0x7e8087aa,0x42fc030d,3 +np.float32,0x3f70f0c7,0xbdb321ba,3 +np.float32,0x5db898,0xc2fce63f,3 +np.float32,0x7a965f,0xc2fc1fea,3 +np.float32,0x7f68b112,0x42ffb97c,3 +np.float32,0x7ef0ed3d,0x42fdd32d,3 +np.float32,0x7f3156a1,0x42fef0d3,3 +np.float32,0x3f1d405f,0xbf33fc6e,3 +np.float32,0x3e3494cf,0xc0203945,3 +np.float32,0x6018de,0xc2fcd3c1,3 +np.float32,0x623e49,0xc2fcc370,3 +np.float32,0x3ea29f0f,0xbfd3cad4,3 +np.float32,0xa514,0xc305a20c,3 +np.float32,0x3e1b2ab1,0xc02e3a8f,3 +np.float32,0x3f450b6f,0xbec1578f,3 +np.float32,0x7eb12908,0x42fcf015,3 +np.float32,0x3f10b720,0xbf52ab48,3 +np.float32,0x3e0a93,0xc2fe16f6,3 +np.float32,0x93845,0xc301cb96,3 +np.float32,0x7f4e9ce3,0x42ff61af,3 +np.float32,0x3f6d4296,0xbde09ceb,3 +np.float32,0x6ddede,0xc2fc70d0,3 +np.float32,0x3f4fb6fd,0xbe9a636d,3 +np.float32,0x3f6d08de,0xbde36c0b,3 +np.float32,0x3f56f057,0xbe8122ad,3 +np.float32,0x334e95,0xc2fea349,3 +np.float32,0x7efadbcd,0x42fdf104,3 +np.float32,0x3db02e88,0xc0628046,3 +np.float32,0x3f3309d1,0xbf041066,3 +np.float32,0x2d8722,0xc2fefb8f,3 +np.float32,0x7e926cac,0x42fc6356,3 +np.float32,0x3e3674ab,0xc01f452e,3 +np.float32,0x1b46ce,0xc3003afc,3 +np.float32,0x3f06a338,0xbf6d53fc,3 +np.float32,0x1b1ba7,0xc3003d46,3 +np.float32,0x319dfb,0xc2febc06,3 +np.float32,0x3e2f126a,0xc02315a5,3 +np.float32,0x3f40fe65,0xbed0af9e,3 +np.float32,0x3f1d842f,0xbf335d4b,3 +np.float32,0x3d044e4f,0xc09e78f8,3 +np.float32,0x7f272674,0x42fec51f,3 +np.float32,0x3cda6d8f,0xc0a753db,3 +np.float32,0x3eb92f12,0xbfbbccbb,3 +np.float32,0x7e4318f4,0x42fb3752,3 +np.float32,0x3c5890,0xc2fe2b6d,3 +np.float32,0x3d1993c9,0xc09796f8,3 +np.float32,0x7f18ef24,0x42fe8377,3 +np.float32,0x3e30c3a0,0xc0223244,3 +np.float32,0x3f27cd27,0xbf1c00ef,3 +np.float32,0x3f150957,0xbf47cd6c,3 +np.float32,0x7e7178a3,0x42fbd4d8,3 +np.float32,0x3f298db8,0xbf182ac3,3 +np.float32,0x7cb3be,0xc2fc1348,3 +np.float32,0x3ef64266,0xbf8729de,3 +np.float32,0x3eeb06ce,0xbf8fc8f2,3 +np.float32,0x3f406e36,0xbed2d845,3 +np.float32,0x7f1e1bd3,0x42fe9c0b,3 +np.float32,0x478dcc,0xc2fdad97,3 +np.float32,0x7f7937b5,0x42ffec2b,3 +np.float32,0x3f20f350,0xbf2b6624,3 +np.float32,0x7f13661a,0x42fe683c,3 +np.float32,0x208177,0xc2fff46b,3 +np.float32,0x263cfb,0xc2ff7c72,3 +np.float32,0x7f0bd28c,0x42fe4141,3 +np.float32,0x7230d8,0xc2fc5453,3 +np.float32,0x3f261bbf,0xbf1fbfb4,3 +np.float32,0x737b56,0xc2fc4c05,3 +np.float32,0x3ef88f33,0xbf857263,3 +np.float32,0x7e036464,0x42fa1352,3 +np.float32,0x4b5c4f,0xc2fd874d,3 +np.float32,0x3f77984d,0xbd454596,3 +np.float32,0x3f674202,0xbe162932,3 +np.float32,0x3e7157d9,0xc0057197,3 +np.float32,0x3f3f21da,0xbed7d861,3 +np.float32,0x7f1fb40f,0x42fea375,3 +np.float32,0x7ef0157f,0x42fdd096,3 +np.float32,0x3f71e88d,0xbda74962,3 +np.float32,0x3f174855,0xbf424728,3 +np.float32,0x3f3fdd2c,0xbed505d5,3 +np.float32,0x7b95d1,0xc2fc19ed,3 +np.float32,0x7f23f4e5,0x42feb6df,3 +np.float32,0x7d741925,0x42f7dcd6,3 +np.float32,0x60f81d,0xc2fccd14,3 +np.float32,0x3f17d267,0xbf40f6ae,3 +np.float32,0x3f036fc8,0xbf7636f8,3 +np.float32,0x167653,0xc30082b5,3 +np.float32,0x256d05,0xc2ff8c4f,3 +np.float32,0x3eccc63d,0xbfa93adb,3 +np.float32,0x7f6c91ea,0x42ffc5b2,3 +np.float32,0x2ee52a,0xc2fee5b3,3 +np.float32,0x3dc3579e,0xc058f80d,3 +np.float32,0x4c7170,0xc2fd7cc4,3 +np.float32,0x7f737f20,0x42ffdb03,3 +np.float32,0x3f2f9dbf,0xbf0b3119,3 +np.float32,0x3f4d0c54,0xbea3eec5,3 +np.float32,0x7e380862,0x42fb0c32,3 +np.float32,0x5d637f,0xc2fce8df,3 +np.float32,0x3f0aa623,0xbf627c27,3 +np.float32,0x3e4d5896,0xc0145b88,3 +np.float32,0x3f6cacdc,0xbde7e7ca,3 +np.float32,0x63a2c3,0xc2fcb90a,3 +np.float32,0x6c138c,0xc2fc7cfa,3 +np.float32,0x2063c,0xc303fb88,3 +np.float32,0x7e9e5a3e,0x42fc9d2f,3 +np.float32,0x56ec64,0xc2fd1ddd,3 +np.float32,0x7f1d6a35,0x42fe98cc,3 +np.float32,0x73dc96,0xc2fc4998,3 +np.float32,0x3e5d74e5,0xc00d6238,3 +np.float32,0x7f033cbb,0x42fe1273,3 +np.float32,0x3f5143fc,0xbe94e4e7,3 +np.float32,0x1d56d9,0xc3002010,3 +np.float32,0x2bf3e4,0xc2ff1591,3 +np.float32,0x3f2a6ef1,0xbf164170,3 +np.float32,0x3f33238b,0xbf03db58,3 +np.float32,0x22780e,0xc2ffc91a,3 +np.float32,0x7f00b873,0x42fe0425,3 +np.float32,0x3f7f6145,0xbb654706,3 +np.float32,0x7fc00000,0x7fc00000,3 +np.float32,0x63895a,0xc2fcb9c7,3 +np.float32,0x18a1b2,0xc30060a8,3 +np.float32,0x7e43c6a6,0x42fb39e3,3 +np.float32,0x78676e,0xc2fc2d30,3 +np.float32,0x3f16d839,0xbf435940,3 +np.float32,0x7eff78ba,0x42fdfe79,3 +np.float32,0x3f2e152c,0xbf0e6e54,3 +np.float32,0x3db20ced,0xc06186e1,3 +np.float32,0x3f0cd1d8,0xbf5cbf57,3 +np.float32,0x3fd7a8,0xc2fe01d2,3 +np.float32,0x3ebb075e,0xbfb9f816,3 +np.float32,0x7f94ef,0xc2fc026b,3 +np.float32,0x3d80ba0e,0xc07f7a2b,3 +np.float32,0x7f227e15,0x42feb03f,3 +np.float32,0x792264bf,0x42e6afcc,3 +np.float32,0x7f501576,0x42ff66ec,3 +np.float32,0x223629,0xc2ffcea3,3 +np.float32,0x40a79e,0xc2fdf87b,3 +np.float32,0x449483,0xc2fdccf2,3 +np.float32,0x3f4fa978,0xbe9a9382,3 +np.float32,0x7f148c53,0x42fe6df9,3 +np.float32,0x3ec98b3c,0xbfac2a98,3 +np.float32,0x3e4da320,0xc0143a0a,3 +np.float32,0x3d1d94bb,0xc09666d0,3 +np.float32,0x3c8e624e,0xc0bb155b,3 +np.float32,0x66a9af,0xc2fca2ef,3 +np.float32,0x3ec76ed7,0xbfae1c57,3 +np.float32,0x3f4b52f3,0xbeaa2b81,3 +np.float32,0x7e99bbb5,0x42fc8750,3 +np.float32,0x3f69a46b,0xbe0701be,3 +np.float32,0x3f775400,0xbd4ba495,3 +np.float32,0x131e56,0xc300be3c,3 +np.float32,0x3f30abb4,0xbf08fb10,3 +np.float32,0x7f7e528c,0x42fffb25,3 +np.float32,0x3eb89515,0xbfbc668a,3 +np.float32,0x7e9191b6,0x42fc5f02,3 +np.float32,0x7e80c7e9,0x42fc047e,3 +np.float32,0x3f77ef58,0xbd3d2995,3 +np.float32,0x7ddb1f8a,0x42f98d1b,3 +np.float32,0x7ebc6c4f,0x42fd1d9c,3 +np.float32,0x3f6638e0,0xbe1ccab8,3 +np.float32,0x7f4c45,0xc2fc0410,3 +np.float32,0x3e7d8aad,0xc000e414,3 +np.float32,0x3f4d148b,0xbea3d12e,3 +np.float32,0x3e98c45c,0xbfdf55f4,3 +np.float32,0x3d754c78,0xc081f8a9,3 +np.float32,0x17e4cf,0xc3006be3,3 +np.float32,0x7eb65814,0x42fd0563,3 +np.float32,0x3f65e0d8,0xbe1f0008,3 +np.float32,0x3e99541f,0xbfdea87e,3 +np.float32,0x3f3cb80e,0xbee13b27,3 +np.float32,0x3e99f0c0,0xbfddec3b,3 +np.float32,0x3f43903e,0xbec6ea66,3 +np.float32,0x7e211cd4,0x42faa9f2,3 +np.float32,0x824af,0xc301f971,3 +np.float32,0x3e16a56e,0xc030f56c,3 +np.float32,0x542b3b,0xc2fd35a6,3 +np.float32,0x3eeea2d1,0xbf8cf873,3 +np.float32,0x232e93,0xc2ffb9fa,3 +np.float32,0x3e8c52b9,0xbfef06aa,3 +np.float32,0x7f69c7e3,0x42ffbcef,3 +np.float32,0x3f573e43,0xbe801714,3 +np.float32,0x43b009,0xc2fdd69f,3 +np.float32,0x3ee571ab,0xbf943966,3 +np.float32,0x3ee3d5d8,0xbf958604,3 +np.float32,0x338b12,0xc2fe9fe4,3 +np.float32,0x29cb1f,0xc2ff3ac6,3 +np.float32,0x3f0892b4,0xbf680e7a,3 +np.float32,0x3e8c4f7f,0xbfef0ae9,3 +np.float32,0x7c9d3963,0x42f497e6,3 +np.float32,0x3f26ba84,0xbf1e5f59,3 +np.float32,0x3dd0acc0,0xc052df6f,3 +np.float32,0x3e43fbda,0xc018aa8c,3 +np.float32,0x3ec4fd0f,0xbfb0635d,3 +np.float32,0x3f52c8c6,0xbe8f8d85,3 +np.float32,0x3f5fdc5d,0xbe462fdb,3 +np.float32,0x3f461920,0xbebd6743,3 +np.float32,0x6161ff,0xc2fcc9ef,3 +np.float32,0x7f7ed306,0x42fffc9a,3 +np.float32,0x3d212263,0xc0955f46,3 +np.float32,0x3eca5826,0xbfab6f36,3 +np.float32,0x7d6317ac,0x42f7a77e,3 +np.float32,0x3eb02063,0xbfc50f60,3 +np.float32,0x7f71a6f8,0x42ffd565,3 +np.float32,0x1a3efe,0xc3004935,3 +np.float32,0x3dc599c9,0xc057e856,3 +np.float32,0x3f3e1301,0xbedbf205,3 +np.float32,0xf17d4,0xc301158d,3 +np.float32,0x3f615f84,0xbe3c3d85,3 +np.float32,0x3de63be1,0xc049cb77,3 +np.float32,0x3e8d2f51,0xbfede541,3 +np.float32,0x3a5cdd,0xc2fe441c,3 +np.float32,0x3f443ec0,0xbec4586a,3 +np.float32,0x3eacbd00,0xbfc8a5ad,3 +np.float32,0x3f600f6a,0xbe44df1b,3 +np.float32,0x5f77a6,0xc2fcd89c,3 +np.float32,0x476706,0xc2fdaf28,3 +np.float32,0x2f469,0xc3036fde,3 +np.float32,0x7dc4ba24,0x42f93d77,3 +np.float32,0x3e2d6080,0xc023fb9b,3 +np.float32,0x7e8d7135,0x42fc49c3,3 +np.float32,0x3f589065,0xbe77247b,3 +np.float32,0x3f59e210,0xbe6e2c05,3 +np.float32,0x7f51d388,0x42ff6d15,3 +np.float32,0x7d9a5fda,0x42f88a63,3 +np.float32,0x3e67d5bc,0xc00927ab,3 +np.float32,0x61d72c,0xc2fcc679,3 +np.float32,0x3ef3351d,0xbf897766,3 +np.float32,0x1,0xc3150000,3 +np.float32,0x7f653429,0x42ffae54,3 +np.float32,0x7e1ad3e5,0x42fa8c8e,3 +np.float32,0x3f4ca01d,0xbea57500,3 +np.float32,0x3f7606db,0xbd6ad13e,3 +np.float32,0x7ec4a27d,0x42fd3d1f,3 +np.float32,0x3efe4fd5,0xbf8138c7,3 +np.float32,0x77c2f1,0xc2fc3124,3 +np.float32,0x7e4d3251,0x42fb5c9a,3 +np.float32,0x3f543ac7,0xbe8a8154,3 +np.float32,0x7c3dbe29,0x42f322c4,3 +np.float32,0x408e01,0xc2fdf9a0,3 +np.float32,0x45069b,0xc2fdc829,3 +np.float32,0x3d7ecab7,0xc08037e8,3 +np.float32,0xf8c22,0xc3010a99,3 +np.float32,0x7f69af63,0x42ffbca2,3 +np.float32,0x7ec7d228,0x42fd48fe,3 +np.float32,0xff800000,0xffc00000,3 +np.float32,0xdd7c5,0xc301357c,3 +np.float32,0x143f38,0xc300a90e,3 +np.float32,0x7e65c176,0x42fbb01b,3 +np.float32,0x2c1a9e,0xc2ff1307,3 +np.float32,0x7f6e9224,0x42ffcbeb,3 +np.float32,0x3d32ab39,0xc0909a77,3 +np.float32,0x3e150b42,0xc031f22b,3 +np.float32,0x1f84b4,0xc300059a,3 +np.float32,0x3f71ce21,0xbda88c2a,3 +np.float32,0x2625c4,0xc2ff7e33,3 +np.float32,0x3dd0b293,0xc052dcdc,3 +np.float32,0x625c11,0xc2fcc290,3 +np.float32,0x3f610297,0xbe3e9f24,3 +np.float32,0x7ebdd5e5,0x42fd2320,3 +np.float32,0x3e883458,0xbff486ff,3 +np.float32,0x782313,0xc2fc2ed4,3 +np.float32,0x7f39c843,0x42ff132f,3 +np.float32,0x7f326aa7,0x42fef54d,3 +np.float32,0x4d2c71,0xc2fd75be,3 +np.float32,0x3f55747c,0xbe86409e,3 +np.float32,0x7f7f0867,0x42fffd34,3 +np.float32,0x321316,0xc2feb53f,3 +np.float32,0x3e1b37ed,0xc02e32b0,3 +np.float32,0x80edf,0xc301fd54,3 +np.float32,0x3f0b08ad,0xbf617607,3 +np.float32,0x7f3f4174,0x42ff28a2,3 +np.float32,0x3d79306d,0xc0813eb0,3 +np.float32,0x3f5f657a,0xbe49413d,3 +np.float32,0x3f56c63a,0xbe81b376,3 +np.float32,0x7f667123,0x42ffb24f,3 +np.float32,0x3f71021b,0xbdb24d43,3 +np.float32,0x7f434ab1,0x42ff380f,3 +np.float32,0x3dcae496,0xc055779c,3 +np.float32,0x3f5a7d88,0xbe6a0f5b,3 +np.float32,0x3cdf5c32,0xc0a64bf5,3 +np.float32,0x3e56222c,0xc0107d11,3 +np.float32,0x561a3a,0xc2fd24df,3 +np.float32,0x7ddd953c,0x42f9955a,3 +np.float32,0x7e35d839,0x42fb035c,3 +np.float32,0x3ec1816c,0xbfb3aeb2,3 +np.float32,0x7c87cfcd,0x42f42bc2,3 +np.float32,0xd9cd,0xc3053baf,3 +np.float32,0x3f388234,0xbef1e5b7,3 +np.float32,0x3edfcaca,0xbf98d47b,3 +np.float32,0x3ef28852,0xbf89fac8,3 +np.float32,0x7f7525df,0x42ffe001,3 +np.float32,0x7f6c33ef,0x42ffc48c,3 +np.float32,0x3ea4a881,0xbfd17e61,3 +np.float32,0x3f3e379f,0xbedb63c6,3 +np.float32,0x3f0524c1,0xbf717301,3 +np.float32,0x3db3e7f0,0xc06091d3,3 +np.float32,0x800000,0xc2fc0000,3 +np.float32,0x3f2f2897,0xbf0c27ce,3 +np.float32,0x7eb1776d,0x42fcf15c,3 +np.float32,0x3f039018,0xbf75dc37,3 +np.float32,0x3c4055,0xc2fe2c96,3 +np.float32,0x3f603653,0xbe43dea5,3 +np.float32,0x7f700d24,0x42ffd07c,3 +np.float32,0x3f4741a3,0xbeb918dc,3 +np.float32,0x3f5fe959,0xbe45da2d,3 +np.float32,0x3f3e4401,0xbedb33b1,3 +np.float32,0x7f0705ff,0x42fe2775,3 +np.float32,0x3ea85662,0xbfcd69b0,3 +np.float32,0x3f15f49f,0xbf458829,3 +np.float32,0x3f17c50e,0xbf411728,3 +np.float32,0x3e483f60,0xc016add2,3 +np.float32,0x3f1ab9e5,0xbf39f71b,3 +np.float32,0x3de0b6fb,0xc04c08fe,3 +np.float32,0x7e671225,0x42fbb452,3 +np.float32,0x80800000,0xffc00000,3 +np.float32,0xe2df3,0xc3012c9d,3 +np.float32,0x3ede1e3c,0xbf9a3770,3 +np.float32,0x3df2ffde,0xc044cfec,3 +np.float32,0x3eed8da5,0xbf8dcf6c,3 +np.float32,0x3ead15c3,0xbfc846e1,3 +np.float32,0x7ef3750a,0x42fddae4,3 +np.float32,0x7e6ab7c0,0x42fbbfe4,3 +np.float32,0x7ea4bbe5,0x42fcba5d,3 +np.float32,0x3f227706,0xbf27f0a1,3 +np.float32,0x3ef39bfd,0xbf89295a,3 +np.float32,0x3f289a20,0xbf1a3edd,3 +np.float32,0x7f225f82,0x42feafb4,3 +np.float32,0x768963,0xc2fc38bc,3 +np.float32,0x3f493c00,0xbeb1ccfc,3 +np.float32,0x3f4e7249,0xbe9ee9a7,3 +np.float32,0x1d0c3a,0xc30023c0,3 +np.float32,0x7f3c5f78,0x42ff1d6a,3 +np.float32,0xff7fffff,0xffc00000,3 +np.float32,0x3ee7896a,0xbf928c2a,3 +np.float32,0x3e788479,0xc002bd2e,3 +np.float32,0x3ee4df17,0xbf94af84,3 +np.float32,0x5e06d7,0xc2fce3d7,3 +np.float32,0x3d7b2776,0xc080e1dc,3 +np.float32,0x3e3d39d3,0xc01be7fd,3 +np.float32,0x7c81dece,0x42f40ab7,3 +np.float32,0x3f7d2085,0xbc856255,3 +np.float32,0x7f7f6627,0x42fffe44,3 +np.float32,0x7f5f2e94,0x42ff9aaa,3 +np.float32,0x7f5835f2,0x42ff8339,3 +np.float32,0x3f6a0e32,0xbe046580,3 +np.float32,0x7e16f586,0x42fa79dd,3 +np.float32,0x3f04a2f2,0xbf72dbc5,3 +np.float32,0x3f35e334,0xbefc7740,3 +np.float32,0x3f0d056e,0xbf5c3824,3 +np.float32,0x7ebeb95e,0x42fd2693,3 +np.float32,0x3c6192,0xc2fe2aff,3 +np.float32,0x3e892b4f,0xbff33958,3 +np.float32,0x3f61d694,0xbe3931df,3 +np.float32,0x29d183,0xc2ff3a56,3 +np.float32,0x7f0b0598,0x42fe3d04,3 +np.float32,0x7f743b28,0x42ffdd3d,3 +np.float32,0x3a2ed6,0xc2fe4663,3 +np.float32,0x3e27403a,0xc0274de8,3 +np.float32,0x3f58ee78,0xbe74a349,3 +np.float32,0x3eaa4b,0xc2fe0f92,3 +np.float32,0x3ecb613b,0xbfaa7de8,3 +np.float32,0x7f637d81,0x42ffa8c9,3 +np.float32,0x3f026e96,0xbf790c73,3 +np.float32,0x386cdf,0xc2fe5d0c,3 +np.float32,0x35abd1,0xc2fe8202,3 +np.float32,0x3eac3cd1,0xbfc92ee8,3 +np.float32,0x3f567869,0xbe82bf47,3 +np.float32,0x3f65c643,0xbe1faae6,3 +np.float32,0x7f5422b9,0x42ff752b,3 +np.float32,0x7c26e9,0xc2fc168c,3 +np.float32,0x7eff5cfd,0x42fdfe29,3 +np.float32,0x3f728e7f,0xbd9f6142,3 +np.float32,0x3f10fd43,0xbf51f874,3 +np.float32,0x7e7ada08,0x42fbf0fe,3 +np.float32,0x3e82a611,0xbffc37be,3 +np.float32,0xbf800000,0xffc00000,3 +np.float32,0x3dbe2e12,0xc05b711c,3 +np.float32,0x7e768fa9,0x42fbe440,3 +np.float32,0x5e44e8,0xc2fce1f0,3 +np.float32,0x7f25071a,0x42febbae,3 +np.float32,0x3f54db5e,0xbe885339,3 +np.float32,0x3f0f2c26,0xbf56a0b8,3 +np.float32,0x22f9a7,0xc2ffbe55,3 +np.float32,0x7ed63dcb,0x42fd7c77,3 +np.float32,0x7ea4fae2,0x42fcbb78,3 +np.float32,0x3f1d7766,0xbf337b47,3 +np.float32,0x7f16d59f,0x42fe7941,3 +np.float32,0x3f3a1bb6,0xbeeb855c,3 +np.float32,0x3ef57128,0xbf87c709,3 +np.float32,0xb24ff,0xc3018591,3 +np.float32,0x3ef99e27,0xbf84a983,3 +np.float32,0x3eac2ccf,0xbfc94013,3 +np.float32,0x3e9d3e1e,0xbfda00dc,3 +np.float32,0x718213,0xc2fc58c1,3 +np.float32,0x7edbf509,0x42fd8fea,3 +np.float32,0x70c7f1,0xc2fc5d80,3 +np.float32,0x3f7012f5,0xbdbdc6cd,3 +np.float32,0x12cba,0xc304c487,3 +np.float32,0x7f5d445d,0x42ff944c,3 +np.float32,0x7f3e30bd,0x42ff2481,3 +np.float32,0x63b110,0xc2fcb8a0,3 +np.float32,0x3f39f728,0xbeec1680,3 +np.float32,0x3f5bea58,0xbe6074b1,3 +np.float32,0x3f350749,0xbefff679,3 +np.float32,0x3e91ab2c,0xbfe81f3e,3 +np.float32,0x7ec53fe0,0x42fd3f6d,3 +np.float32,0x3f6cbbdc,0xbde72c8e,3 +np.float32,0x3f4df49f,0xbea0abcf,3 +np.float32,0x3e9c9638,0xbfdac674,3 +np.float32,0x7f3b82ec,0x42ff1a07,3 +np.float32,0x7f612a09,0x42ffa132,3 +np.float32,0x7ea26650,0x42fcafd3,3 +np.float32,0x3a615138,0xc122f26d,3 +np.float32,0x3f1108bd,0xbf51db39,3 +np.float32,0x6f80f6,0xc2fc65ea,3 +np.float32,0x3f7cb578,0xbc98ecb1,3 +np.float32,0x7f54d31a,0x42ff7790,3 +np.float32,0x196868,0xc3005532,3 +np.float32,0x3f01ee0a,0xbf7a7925,3 +np.float32,0x3e184013,0xc02ffb11,3 +np.float32,0xadde3,0xc3018ee3,3 +np.float32,0x252a91,0xc2ff9173,3 +np.float32,0x3f0382c2,0xbf7601a9,3 +np.float32,0x6d818c,0xc2fc7345,3 +np.float32,0x3bfbfd,0xc2fe2fdd,3 +np.float32,0x7f3cad19,0x42ff1e9a,3 +np.float32,0x4169a7,0xc2fdefdf,3 +np.float32,0x3f615d96,0xbe3c4a2b,3 +np.float32,0x3f036480,0xbf7656ac,3 +np.float32,0x7f5fbda3,0x42ff9c83,3 +np.float32,0x3d202d,0xc2fe21f1,3 +np.float32,0x3d0f5e5d,0xc09ac3e9,3 +np.float32,0x3f0fff6e,0xbf548142,3 +np.float32,0x7f11ed32,0x42fe60d2,3 +np.float32,0x3e6f856b,0xc00624b6,3 +np.float32,0x7f7c4dd7,0x42fff542,3 +np.float32,0x3e76fb86,0xc0034fa0,3 +np.float32,0x3e8a0d6e,0xbff209e7,3 +np.float32,0x3eacad19,0xbfc8b6ad,3 +np.float32,0xa7776,0xc3019cbe,3 +np.float32,0x3dc84d74,0xc056a754,3 +np.float32,0x3efb8052,0xbf834626,3 +np.float32,0x3f0e55fc,0xbf58cacc,3 +np.float32,0x7e0e71e3,0x42fa4efb,3 +np.float32,0x3ed5a800,0xbfa1639c,3 +np.float32,0x3f33335b,0xbf03babf,3 +np.float32,0x38cad7,0xc2fe5842,3 +np.float32,0x3bc21256,0xc0ecc927,3 +np.float32,0x3f09522d,0xbf660a19,3 +np.float32,0xcbd5d,0xc3015428,3 +np.float32,0x492752,0xc2fd9d42,3 +np.float32,0x3f2b9b32,0xbf13b904,3 +np.float32,0x6544ac,0xc2fcad09,3 +np.float32,0x52eb12,0xc2fd40b5,3 +np.float32,0x3f66a7c0,0xbe1a03e8,3 +np.float32,0x7ab289,0xc2fc1f41,3 +np.float32,0x62af5e,0xc2fcc020,3 +np.float32,0x7f73e9cf,0x42ffdc46,3 +np.float32,0x3e5eca,0xc2fe130e,3 +np.float32,0x3e3a10f4,0xc01d7602,3 +np.float32,0x3f04db46,0xbf723f0d,3 +np.float32,0x18fc4a,0xc3005b63,3 +np.float32,0x525bcb,0xc2fd45b6,3 +np.float32,0x3f6b9108,0xbdf5c769,3 +np.float32,0x3e992e8c,0xbfded5c5,3 +np.float32,0x7efea647,0x42fdfc18,3 +np.float32,0x7e8371db,0x42fc139e,3 +np.float32,0x3f397cfb,0xbeedfc69,3 +np.float32,0x7e46d233,0x42fb454a,3 +np.float32,0x7d5281ad,0x42f76f79,3 +np.float32,0x7f4c1878,0x42ff58a1,3 +np.float32,0x3e96ca5e,0xbfe1bd97,3 +np.float32,0x6a2743,0xc2fc8a3d,3 +np.float32,0x7f688781,0x42ffb8f8,3 +np.float32,0x7814b7,0xc2fc2f2d,3 +np.float32,0x3f2ffdc9,0xbf0a6756,3 +np.float32,0x3f766fa8,0xbd60fe24,3 +np.float32,0x4dc64e,0xc2fd7003,3 +np.float32,0x3a296f,0xc2fe46a8,3 +np.float32,0x3f2af942,0xbf15162e,3 +np.float32,0x7f702c32,0x42ffd0dc,3 +np.float32,0x7e61e318,0x42fba390,3 +np.float32,0x7f7d3bdb,0x42fff7fa,3 +np.float32,0x3ee87f3f,0xbf91c881,3 +np.float32,0x2bbc28,0xc2ff193c,3 +np.float32,0x3e01f918,0xc03e966e,3 +np.float32,0x7f0b39f4,0x42fe3e1a,3 +np.float32,0x3eaa4d64,0xbfcb4516,3 +np.float32,0x3e53901e,0xc0119a88,3 +np.float32,0x603cb,0xc3026957,3 +np.float32,0x7e81f926,0x42fc0b4d,3 +np.float32,0x5dab7c,0xc2fce6a6,3 +np.float32,0x3f46fefd,0xbeba1018,3 +np.float32,0x648448,0xc2fcb28a,3 +np.float32,0x3ec49470,0xbfb0c58b,3 +np.float32,0x3e8a5393,0xbff1ac2b,3 +np.float32,0x3f27ccfc,0xbf1c014e,3 +np.float32,0x3ed886e6,0xbf9eeca8,3 +np.float32,0x7cfbe06e,0x42f5f401,3 +np.float32,0x3f5aa7ba,0xbe68f229,3 +np.float32,0x9500d,0xc301c7e3,3 +np.float32,0x3f4861,0xc2fe0853,3 +np.float32,0x3e5ae104,0xc00e76f5,3 +np.float32,0x71253a,0xc2fc5b1e,3 +np.float32,0xcf7b8,0xc3014d9c,3 +np.float32,0x7f7edd2d,0x42fffcb7,3 +np.float32,0x3e9039ee,0xbfe9f5ab,3 +np.float32,0x2fd54e,0xc2fed712,3 +np.float32,0x3f600752,0xbe45147a,3 +np.float32,0x3f4da8f6,0xbea1bb5c,3 +np.float32,0x3f2d34a9,0xbf104bd9,3 +np.float32,0x3e1e66dd,0xc02c52d2,3 +np.float32,0x798276,0xc2fc2670,3 +np.float32,0xd55e2,0xc3014347,3 +np.float32,0x80000001,0xffc00000,3 +np.float32,0x3e7a5ead,0xc0020da6,3 +np.float32,0x7ec4c744,0x42fd3da9,3 +np.float32,0x597e00,0xc2fd085a,3 +np.float32,0x3dff6bf4,0xc0403575,3 +np.float32,0x5d6f1a,0xc2fce883,3 +np.float32,0x7e21faff,0x42faadea,3 +np.float32,0x3e570fea,0xc01016c6,3 +np.float32,0x28e6b6,0xc2ff4ab7,3 +np.float32,0x7e77062d,0x42fbe5a3,3 +np.float32,0x74cac4,0xc2fc43b0,3 +np.float32,0x3f707273,0xbdb93078,3 +np.float32,0x228e96,0xc2ffc737,3 +np.float32,0x686ac1,0xc2fc966b,3 +np.float32,0x3d76400d,0xc081cae8,3 +np.float32,0x3e9f502f,0xbfd7966b,3 +np.float32,0x3f6bc656,0xbdf32b1f,3 +np.float32,0x3edb828b,0xbf9c65d4,3 +np.float32,0x6c6e56,0xc2fc7a8e,3 +np.float32,0x3f04552e,0xbf73b48f,3 +np.float32,0x3f39cb69,0xbeecc457,3 +np.float32,0x7f681c44,0x42ffb7a3,3 +np.float32,0x7f5b44ee,0x42ff8d99,3 +np.float32,0x3e71430a,0xc005798d,3 +np.float32,0x3edcfde3,0xbf9b27c6,3 +np.float32,0x3f616a5a,0xbe3bf67f,3 +np.float32,0x3f523936,0xbe918548,3 +np.float32,0x3f39ce3a,0xbeecb925,3 +np.float32,0x3eac589a,0xbfc91120,3 +np.float32,0x7efc8d3d,0x42fdf5fc,3 +np.float32,0x5704b0,0xc2fd1d0f,3 +np.float32,0x7e7972e9,0x42fbecda,3 +np.float32,0x3eb0811c,0xbfc4aa13,3 +np.float32,0x7f1efcbb,0x42fea023,3 +np.float32,0x3e0b9e32,0xc037fa6b,3 +np.float32,0x7eef6a48,0x42fdce87,3 +np.float32,0x3cc0a373,0xc0ad20c0,3 +np.float32,0x3f2a75bb,0xbf1632ba,3 +np.float32,0x0,0xff800000,3 +np.float32,0x7ecdb6f4,0x42fd5e77,3 +np.float32,0x7f2e2dfd,0x42fee38d,3 +np.float32,0x3ee17f6e,0xbf976d8c,3 +np.float32,0x3f51e7ee,0xbe92a319,3 +np.float32,0x3f06942f,0xbf6d7d3c,3 +np.float32,0x3f7ba528,0xbccac6f1,3 +np.float32,0x3f413787,0xbecfd513,3 +np.float32,0x3e085e48,0xc03a2716,3 +np.float32,0x7e4c5e0e,0x42fb599c,3 +np.float32,0x306f76,0xc2fecdd4,3 +np.float32,0x7f5c2203,0x42ff9081,3 +np.float32,0x3d5355b4,0xc088da05,3 +np.float32,0x9a2a,0xc305bb4f,3 +np.float32,0x3db93a1f,0xc05de0db,3 +np.float32,0x4e50c6,0xc2fd6ae4,3 +np.float32,0x7ec4afed,0x42fd3d51,3 +np.float32,0x3a8f27,0xc2fe41a0,3 +np.float32,0x7f213caf,0x42feaa84,3 +np.float32,0x7e7b5f00,0x42fbf286,3 +np.float32,0x7e367194,0x42fb05ca,3 +np.float32,0x7f56e6de,0x42ff7ebd,3 +np.float32,0x3ed7383e,0xbfa00aef,3 +np.float32,0x7e844752,0x42fc184a,3 +np.float32,0x15157,0xc3049a19,3 +np.float32,0x3f78cd92,0xbd28824a,3 +np.float32,0x7ecddb16,0x42fd5ef9,3 +np.float32,0x3e479f16,0xc016f7d8,3 +np.float32,0x3f5cb418,0xbe5b2bd3,3 +np.float32,0x7c0934cb,0x42f2334e,3 +np.float32,0x3ebe5505,0xbfb6bc69,3 +np.float32,0x3eb1335a,0xbfc3eff5,3 +np.float32,0x3f2488a3,0xbf234444,3 +np.float32,0x642906,0xc2fcb52a,3 +np.float32,0x3da635fa,0xc067e15a,3 +np.float32,0x7e0d80db,0x42fa4a15,3 +np.float32,0x4f0b9d,0xc2fd640a,3 +np.float32,0x7e083806,0x42fa2df8,3 +np.float32,0x7f77f8c6,0x42ffe877,3 +np.float32,0x3e7bb46a,0xc0018ff5,3 +np.float32,0x3f06eb2e,0xbf6c8eca,3 +np.float32,0x7eae8f7c,0x42fce52a,3 +np.float32,0x3de481a0,0xc04a7d7f,3 +np.float32,0x3eed4311,0xbf8e096f,3 +np.float32,0x3f7b0300,0xbce8903d,3 +np.float32,0x3811b,0xc30330dd,3 +np.float32,0x3eb6f8e1,0xbfbe04bc,3 +np.float32,0x3ec35210,0xbfb1f55a,3 +np.float32,0x3d386916,0xc08f24a5,3 +np.float32,0x3f1fa197,0xbf2e704d,3 +np.float32,0x7f2020a5,0x42fea56a,3 +np.float32,0x7e1ea53f,0x42fa9e8c,3 +np.float32,0x3f148903,0xbf490bf9,3 +np.float32,0x3f2f56a0,0xbf0bc6c9,3 +np.float32,0x7da9fc,0xc2fc0d9b,3 +np.float32,0x3d802134,0xc07fe810,3 +np.float32,0x3f6cb927,0xbde74e57,3 +np.float32,0x7e05b125,0x42fa2023,3 +np.float32,0x3f3307f9,0xbf041433,3 +np.float32,0x5666bf,0xc2fd2250,3 +np.float32,0x3f51c93b,0xbe930f28,3 +np.float32,0x3eb5dcfe,0xbfbf241e,3 +np.float32,0xb2773,0xc301853f,3 +np.float32,0x7f4dee96,0x42ff5f3f,3 +np.float32,0x3e3f5c33,0xc01adee1,3 +np.float32,0x3f2ed29a,0xbf0cdd4a,3 +np.float32,0x3e3c01ef,0xc01c80ab,3 +np.float32,0x3ec2236e,0xbfb31458,3 +np.float32,0x7e841dc4,0x42fc1761,3 +np.float32,0x3df2cd8e,0xc044e30c,3 +np.float32,0x3f010901,0xbf7d0670,3 +np.float32,0x3c05ceaa,0xc0ddf39b,3 +np.float32,0x3f517226,0xbe944206,3 +np.float32,0x3f23c83d,0xbf24f522,3 +np.float32,0x7fc9da,0xc2fc0139,3 +np.float32,0x7f1bde53,0x42fe9181,3 +np.float32,0x3ea3786c,0xbfd2d4a5,3 +np.float32,0x3e83a71b,0xbffacdd2,3 +np.float32,0x3f6f0d4f,0xbdca61d5,3 +np.float32,0x7f5ab613,0x42ff8bb7,3 +np.float32,0x3ab1ec,0xc2fe3fea,3 +np.float32,0x4fbf58,0xc2fd5d82,3 +np.float32,0x3dea141b,0xc0484403,3 +np.float32,0x7d86ad3b,0x42f8258f,3 +np.float32,0x7f345315,0x42fefd29,3 +np.float32,0x3f3752fe,0xbef6a780,3 +np.float32,0x64830d,0xc2fcb293,3 +np.float32,0x3d9dc1eb,0xc06cb32a,3 +np.float32,0x3f2f935a,0xbf0b46f6,3 +np.float32,0xb90a4,0xc30177e3,3 +np.float32,0x4111dd,0xc2fdf3c1,3 +np.float32,0x3d4cd078,0xc08a4c68,3 +np.float32,0x3e95c3f1,0xbfe30011,3 +np.float32,0x3ec9f356,0xbfabcb4e,3 +np.float32,0x1b90d5,0xc3003717,3 +np.float32,0xee70f,0xc3011a3e,3 +np.float32,0x7fa00000,0x7fe00000,3 +np.float32,0x3f74cdb6,0xbd8422af,3 +np.float32,0x3d9b56fe,0xc06e2037,3 +np.float32,0x3f1853df,0xbf3fbc40,3 +np.float32,0x7d86a011,0x42f82547,3 +np.float32,0x3dff9629,0xc0402634,3 +np.float32,0x46f8c9,0xc2fdb39f,3 +np.float32,0x3e9b410b,0xbfdc5a87,3 +np.float32,0x3f5aed42,0xbe671cac,3 +np.float32,0x3b739886,0xc101257f,3 +np.float64,0x3fe2f58d6565eb1b,0xbfe82a641138e19a,1 +np.float64,0x3fee7f0642fcfe0d,0xbfb1c702f6974932,1 +np.float64,0x25b71f244b6e5,0xc090030d3b3c5d2b,1 +np.float64,0x8c9cc8e1193b,0xc0900b752a678fa8,1 +np.float64,0x3fd329b5d326536c,0xbffbd607f6db945c,1 +np.float64,0x3fb5109b3a2a2136,0xc00cd36bd15dfb18,1 +np.float64,0x3fd5393ae12a7276,0xbff97a7e4a157154,1 +np.float64,0x3fd374d1b926e9a3,0xbffb7c3e1a3a7ed3,1 +np.float64,0x3fe2c7f4e2658fea,0xbfe899f15ca78fcb,1 +np.float64,0x7fe3d6b81ee7ad6f,0x408ffa7b63d407ee,1 +np.float64,0x3fe086d097e10da1,0xbfee81456ce8dd03,1 +np.float64,0x7fd374a64ca6e94c,0x408ff241c7306d39,1 +np.float64,0x3fc0709a5b20e135,0xc007afdede31b29c,1 +np.float64,0x3fd4218f4b28431f,0xbffab2c696966e2d,1 +np.float64,0x143134c828628,0xc09006a8372c4d8a,1 +np.float64,0x3f8bd0aa0037a154,0xc018cf0e8b9c3107,1 +np.float64,0x7fe0ce905ee19d20,0x408ff8915e71bd67,1 +np.float64,0x3fda0f5f32b41ebe,0xbff4bd5e0869e820,1 +np.float64,0x7fe9ae63d0b35cc7,0x408ffd760ca4f292,1 +np.float64,0x3fe75abd9eeeb57b,0xbfdd1476fc8b3089,1 +np.float64,0x786c3110f0d87,0xc08ff8b44cedbeea,1 +np.float64,0x22c5fe80458d,0xc09013853591c2f2,1 +np.float64,0x3fdc250797384a0f,0xbff2f6a02c961f0b,1 +np.float64,0x3fa2b367b02566cf,0xc013199238485054,1 +np.float64,0x3fd26a910ca4d522,0xbffcc0e2089b1c0c,1 +np.float64,0x8068d3b300d1b,0xc08ff7f690210aac,1 +np.float64,0x3fe663bfa9ecc77f,0xbfe07cd95a43a5ce,1 +np.float64,0x3fd0ddb07321bb61,0xbffec886665e895e,1 +np.float64,0x3f91c730b0238e61,0xc0176452badc8d22,1 +np.float64,0x4dd10d309ba22,0xc08ffdbe738b1d8d,1 +np.float64,0x7fe322afa4a6455e,0x408ffa10c038f9de,1 +np.float64,0x7fdf7f7c42befef8,0x408ff7d147ddaad5,1 +np.float64,0x7fd673f386ace7e6,0x408ff3e920d00eef,1 +np.float64,0x3feaebfcadb5d7f9,0xbfcfe8ec27083478,1 +np.float64,0x3fdc6dc23738db84,0xbff2bb46794f07b8,1 +np.float64,0xcd8819599b103,0xc08ff288c5b2cf0f,1 +np.float64,0xfda00e77fb402,0xc08ff01b895d2236,1 +np.float64,0x840b02ff08161,0xc08ff7a41e41114c,1 +np.float64,0x3fbdce3a383b9c74,0xc008d1e61903a289,1 +np.float64,0x3fd24ed3c4a49da8,0xbffce3c12136b6d3,1 +np.float64,0x3fe8d0834131a107,0xbfd77b194e7051d4,1 +np.float64,0x3fdd0cb11aba1962,0xbff23b9dbd554455,1 +np.float64,0x1a32d97e3465c,0xc090052781a37271,1 +np.float64,0x3fdb09d2b1b613a5,0xbff3e396b862bd83,1 +np.float64,0x3fe04c848aa09909,0xbfef2540dd90103a,1 +np.float64,0x3fce0c48613c1891,0xc000b9f76877d744,1 +np.float64,0x3fc37109a226e213,0xc005c05d8b2b9a2f,1 +np.float64,0x81cf3837039e7,0xc08ff7d686517dff,1 +np.float64,0xd9342c29b2686,0xc08ff1e591c9a895,1 +np.float64,0x7fec731b0638e635,0x408ffea4884550a9,1 +np.float64,0x3fba0fc138341f82,0xc00a5e839b085f64,1 +np.float64,0x7fdda893b03b5126,0x408ff71f7c5a2797,1 +np.float64,0xd2a4bb03a5498,0xc08ff2402f7a907c,1 +np.float64,0x3fea61fb0d34c3f6,0xbfd1d293fbe76183,1 +np.float64,0x3fed5cf486fab9e9,0xbfbfc2e01a7ffff1,1 +np.float64,0x3fcbabc2bf375785,0xc001ad7750c9dbdf,1 +np.float64,0x3fdb5fff53b6bfff,0xbff39a7973a0c6a5,1 +np.float64,0x7feef05a00bde0b3,0x408fff9c5cbc8651,1 +np.float64,0xb1cf24f1639e5,0xc08ff434de10fffb,1 +np.float64,0x3fa583989c2b0731,0xc0124a8a3bbf18ce,1 +np.float64,0x7feae90bf9f5d217,0x408ffe002e7bbbea,1 +np.float64,0x3fe9ef41c4b3de84,0xbfd367878ae4528e,1 +np.float64,0x9be24ce337c4a,0xc08ff5b9b1c31cf9,1 +np.float64,0x3fe916894cb22d13,0xbfd677f915d58503,1 +np.float64,0x3fec1bab20f83756,0xbfc7f2777aabe8ee,1 +np.float64,0x3feaabf2873557e5,0xbfd0d11f28341233,1 +np.float64,0x3fd4d3c3b529a787,0xbff9e9e47acc8ca9,1 +np.float64,0x3fe4cfe96c699fd3,0xbfe3dc53fa739169,1 +np.float64,0xccfdb97399fb7,0xc08ff2908d893400,1 +np.float64,0x3fec7598be78eb31,0xbfc5a750f8f3441a,1 +np.float64,0x355be5fc6ab7e,0xc090010ca315b50b,1 +np.float64,0x3fba9f9074353f21,0xc00a1f80eaf5e581,1 +np.float64,0x7fdcaff189395fe2,0x408ff6bd1c5b90d9,1 +np.float64,0x3fd94d3b64b29a77,0xbff56be1b43d25f3,1 +np.float64,0x4e5f29949cbe6,0xc08ffda972da1d73,1 +np.float64,0x3fe654e2d9aca9c6,0xbfe09b88dcd8f15d,1 +np.float64,0x7fdc130190b82602,0x408ff67d496c1a27,1 +np.float64,0x3fbcd4701e39a8e0,0xc009343e36627e80,1 +np.float64,0x7fdaa4d38f3549a6,0x408ff5e2c6d8678f,1 +np.float64,0x3febe95e5237d2bd,0xbfc93e16d453fe3a,1 +np.float64,0x9ef5ca553deba,0xc08ff57ff4f7883d,1 +np.float64,0x7fe878e91170f1d1,0x408ffce795868fc8,1 +np.float64,0x3fe63dff466c7bff,0xbfe0caf2b79c9e5f,1 +np.float64,0x6561446ccac29,0xc08ffab0e383834c,1 +np.float64,0x30c6c2ae618d9,0xc09001914b30381b,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0x3fe5c9daf1ab93b6,0xbfe1be81baf4dbdb,1 +np.float64,0x3fe0a03e24a1407c,0xbfee3a73c4c0e8f8,1 +np.float64,0xff2a2cf3fe546,0xc08ff009a7e6e782,1 +np.float64,0x7fcf0332213e0663,0x408fefa36235e210,1 +np.float64,0x3fb612affc2c2560,0xc00c494be9c8c33b,1 +np.float64,0x3fd2b259702564b3,0xbffc67967f077e75,1 +np.float64,0x7fcb63685d36c6d0,0x408fee343343f913,1 +np.float64,0x3fe369f1d5a6d3e4,0xbfe71251139939ad,1 +np.float64,0x3fdd17c618ba2f8c,0xbff232d11c986251,1 +np.float64,0x3f92cc8040259901,0xc01711d8e06b52ee,1 +np.float64,0x69a81dc2d3504,0xc08ffa36cdaf1141,1 +np.float64,0x3fea0fad99b41f5b,0xbfd2f4625a652645,1 +np.float64,0xd1cd5799a39ab,0xc08ff24c02b90d26,1 +np.float64,0x324e59ce649cc,0xc0900163ad091c76,1 +np.float64,0x3fc3d460a227a8c1,0xc00585f903dc7a7f,1 +np.float64,0xa7185ec74e30c,0xc08ff4ec7d65ccd9,1 +np.float64,0x3fa254eaac24a9d5,0xc01337053963321a,1 +np.float64,0x3feaeb112435d622,0xbfcfef3be17f81f6,1 +np.float64,0x60144c3ac028a,0xc08ffb4f8eb94595,1 +np.float64,0x7fa4d2ec6829a5d8,0x408fdb0a9670ab83,1 +np.float64,0x3fed1372f97a26e6,0xbfc1b1fe50d48a55,1 +np.float64,0x3fd5ade5972b5bcb,0xbff8fcf28f525031,1 +np.float64,0x7fe72e335bee5c66,0x408ffc4759236437,1 +np.float64,0x7fdfafab143f5f55,0x408ff7e2e22a8129,1 +np.float64,0x3fe90d0db9321a1b,0xbfd69ae5fe10eb9e,1 +np.float64,0x7fe20a59072414b1,0x408ff962a2492484,1 +np.float64,0x3fed853690bb0a6d,0xbfbdc9dc5f199d2b,1 +np.float64,0x3fd709d469ae13a9,0xbff795a218deb700,1 +np.float64,0x3fe21c35f5e4386c,0xbfea47d71789329b,1 +np.float64,0x9ea5ec053d4be,0xc08ff585c2f6b7a3,1 +np.float64,0x3fc0580f9e20b01f,0xc007c1268f49d037,1 +np.float64,0xd99127abb3225,0xc08ff1e0a1ff339d,1 +np.float64,0x3fdc8c9bbfb91937,0xbff2a2478354effb,1 +np.float64,0x3fe15fc6b162bf8d,0xbfec323ac358e008,1 +np.float64,0xffefffffffffffff,0x7ff8000000000000,1 +np.float64,0x3fee341afb3c6836,0xbfb556b6faee9a84,1 +np.float64,0x3fe4b64c56296c99,0xbfe4154835ad2afe,1 +np.float64,0x85de22810bbc5,0xc08ff77b914fe5b5,1 +np.float64,0x3fd22c72e3a458e6,0xbffd0f4269d20bb9,1 +np.float64,0xc090e5218123,0xc09009a4a65a8a8f,1 +np.float64,0x7fd9641692b2c82c,0x408ff5547782bdfc,1 +np.float64,0x3fd9b9cb28b37396,0xbff509a8fb59a9f1,1 +np.float64,0x3fcd2726f93a4e4e,0xc001135059a22117,1 +np.float64,0x3fa4b493d4296928,0xc0128323c7a55f4a,1 +np.float64,0x47455e788e8ac,0xc08ffec2101c1e82,1 +np.float64,0x3fe0d7e2e261afc6,0xbfeda0f1e2d0f4bd,1 +np.float64,0x3fe860fc5b70c1f9,0xbfd91dc42eaf72c2,1 +np.float64,0xa5d7805b4baf0,0xc08ff502bc819ff6,1 +np.float64,0xd83395b1b0673,0xc08ff1f33c3f94c2,1 +np.float64,0x3f865972e02cb2e6,0xc01a1243651565c8,1 +np.float64,0x52fc6952a5f8e,0xc08ffd006b158179,1 +np.float64,0x7fecac6c793958d8,0x408ffebbb1c09a70,1 +np.float64,0x7fe621ff606c43fe,0x408ffbbeb2b1473a,1 +np.float64,0x3fdb9f3f9db73e7f,0xbff365610c52bda7,1 +np.float64,0x7feab92992757252,0x408ffdeb92a04813,1 +np.float64,0xcc46c79f988d9,0xc08ff29adf03fb7c,1 +np.float64,0x3fe3156a03262ad4,0xbfe7dd0f598781c7,1 +np.float64,0x3fc00e3a61201c75,0xc007f5c121a87302,1 +np.float64,0x3fdce8e9f739d1d4,0xbff2581d41ef50ef,1 +np.float64,0x0,0xfff0000000000000,1 +np.float64,0x7d373ac4fa6e8,0xc08ff840fa8beaec,1 +np.float64,0x3fee41e0653c83c1,0xbfb4ae786f2a0d54,1 +np.float64,0x3ff0000000000000,0x0,1 +np.float64,0x7feca6fff9794dff,0x408ffeb982a70556,1 +np.float64,0x7fc532716d2a64e2,0x408feb3f0f6c095b,1 +np.float64,0x3fe4ec2954a9d853,0xbfe39dd44aa5a040,1 +np.float64,0x7fd3321d52a6643a,0x408ff21a0ab9cd85,1 +np.float64,0x7fd8f1b2dfb1e365,0x408ff52001fa7922,1 +np.float64,0x3fee5e58cabcbcb2,0xbfb3539734a24d8b,1 +np.float64,0x3feebf6e7dfd7edd,0xbfad7c648f025102,1 +np.float64,0x6008026ec0101,0xc08ffb5108b54a93,1 +np.float64,0x3fea06f5e2340dec,0xbfd3134a48283360,1 +np.float64,0x41cad13c8395b,0xc08fffae654b2426,1 +np.float64,0x7fedb5c9353b6b91,0x408fff249f1f32b6,1 +np.float64,0xe00c5af9c018c,0xc08ff189e68c655f,1 +np.float64,0x7feac398ddf58731,0x408ffdf01374de9f,1 +np.float64,0x3fed21127c7a4225,0xbfc15b8cf55628fa,1 +np.float64,0x3fd3446711a688ce,0xbffbb5f7252a9fa3,1 +np.float64,0x7fe75fa07a6ebf40,0x408ffc5fdb096018,1 +np.float64,0x3feeb1618cbd62c3,0xbfaece3bd0863070,1 +np.float64,0x7f5226e180244dc2,0x408fb174d506e52f,1 +np.float64,0x3fcd67deca3acfbe,0xc000f9cd7a490749,1 +np.float64,0xdc6f30efb8de6,0xc08ff1b9f2a22d2e,1 +np.float64,0x9c14931338293,0xc08ff5b5f975ec5d,1 +np.float64,0x7fe93e802df27cff,0x408ffd4354eba0e0,1 +np.float64,0x3feb92ae5077255d,0xbfcb7f2084e44dbb,1 +np.float64,0xd78dbfddaf1b8,0xc08ff1fc19fa5a13,1 +np.float64,0x7fe14c301fa2985f,0x408ff8e666cb6592,1 +np.float64,0xbda3d8b77b47b,0xc08ff37689f4b2e5,1 +np.float64,0x8a42953b14853,0xc08ff71c2db3b8cf,1 +np.float64,0x7fe4ca7e186994fb,0x408ffb05e94254a7,1 +np.float64,0x7fe92ffc5e325ff8,0x408ffd3cb0265b12,1 +np.float64,0x91b262912364d,0xc08ff681619be214,1 +np.float64,0x33fe2b0667fc6,0xc0900132f3fab55e,1 +np.float64,0x3fde10e9183c21d2,0xbff17060fb4416c7,1 +np.float64,0xb6b811cb6d702,0xc08ff3e46303b541,1 +np.float64,0x3fe4a7bda0a94f7b,0xbfe435c6481cd0e3,1 +np.float64,0x7fd9fe6057b3fcc0,0x408ff599c79a822c,1 +np.float64,0x3fef44bf917e897f,0xbfa11484e351a6e9,1 +np.float64,0x3fe57d701daafae0,0xbfe2618ab40fc01b,1 +np.float64,0x7fe52d2adbaa5a55,0x408ffb3c2fb1c99d,1 +np.float64,0xb432f66d6865f,0xc08ff40d6b4084fe,1 +np.float64,0xbff0000000000000,0x7ff8000000000000,1 +np.float64,0x7fecd2292bf9a451,0x408ffecad860de6f,1 +np.float64,0x3fddd2ae153ba55c,0xbff1a059adaca33e,1 +np.float64,0x3fee55d6e5bcabae,0xbfb3bb1c6179d820,1 +np.float64,0x7fc1d0085623a010,0x408fe93d16ada7a7,1 +np.float64,0x829b000105360,0xc08ff7c47629a68f,1 +np.float64,0x7fe1e0257523c04a,0x408ff94782cf0717,1 +np.float64,0x7fd652f9ad2ca5f2,0x408ff3d820ec892e,1 +np.float64,0x3fef2246203e448c,0xbfa444ab6209d8cd,1 +np.float64,0x3fec6c0ae178d816,0xbfc5e559ebd4e790,1 +np.float64,0x3fe6ddfee92dbbfe,0xbfdf06dd7d3fa7a8,1 +np.float64,0x3fb7fbcbea2ff798,0xc00b5404d859d148,1 +np.float64,0x7feb9a154d37342a,0x408ffe4b26c29e55,1 +np.float64,0x3fe4db717aa9b6e3,0xbfe3c2c6b3ef13bc,1 +np.float64,0x3fbae17dda35c2fc,0xc00a030f7f4b37e7,1 +np.float64,0x7fd632b9082c6571,0x408ff3c76826ef19,1 +np.float64,0x7fc4184a15283093,0x408feaa14adf00be,1 +np.float64,0x3fe052d19920a5a3,0xbfef136b5df81a3e,1 +np.float64,0x7fe38b872b67170d,0x408ffa4f51aafc86,1 +np.float64,0x3fef9842d03f3086,0xbf92d3d2a21d4be2,1 +np.float64,0x9cea662139d4d,0xc08ff5a634810daa,1 +np.float64,0x3fe35f0855e6be11,0xbfe72c4b564e62aa,1 +np.float64,0x3fecee3d3779dc7a,0xbfc29ee942f8729e,1 +np.float64,0x3fe7903fd72f2080,0xbfdc41db9b5f4048,1 +np.float64,0xb958889572b11,0xc08ff3ba366cf84b,1 +np.float64,0x3fcb3a67c53674d0,0xc001dd21081ad1ea,1 +np.float64,0xe3b1b53fc7637,0xc08ff15a3505e1ce,1 +np.float64,0xe5954ae9cb2aa,0xc08ff141cbbf0ae4,1 +np.float64,0x3fe394af74e7295f,0xbfe6ad1d13f206e8,1 +np.float64,0x7fe21dd704643bad,0x408ff96f13f80c1a,1 +np.float64,0x3fd23a7cf02474fa,0xbffcfd7454117a05,1 +np.float64,0x7fe257515e24aea2,0x408ff99378764d52,1 +np.float64,0x7fe4c5d0a6e98ba0,0x408ffb03503cf939,1 +np.float64,0x3fadc2c1603b8583,0xc0106b2c17550e3a,1 +np.float64,0x3fc0f7f02421efe0,0xc007525ac446864c,1 +np.float64,0x3feaf0b27275e165,0xbfcfc8a03eaa32ad,1 +np.float64,0x5ce7503cb9ceb,0xc08ffbb2de365fa8,1 +np.float64,0x2a0014f654003,0xc090026e41761a0d,1 +np.float64,0x7fe2c848a8e59090,0x408ff9d9b723ee89,1 +np.float64,0x7f66f54bc02dea97,0x408fbc2ae0ec5623,1 +np.float64,0xa35a890146b6,0xc0900a97b358ddbd,1 +np.float64,0x7fee267ded7c4cfb,0x408fff501560c9f5,1 +np.float64,0x3fe07c328520f865,0xbfee9ef7c3435b58,1 +np.float64,0x3fe67122cf6ce246,0xbfe06147001932ba,1 +np.float64,0x3fdacc8925359912,0xbff41824cece219e,1 +np.float64,0xffa3047fff461,0xc08ff00431ec9be3,1 +np.float64,0x3e1af43e7c35f,0xc090002c6573d29b,1 +np.float64,0x86fa94590df53,0xc08ff7632525ed92,1 +np.float64,0x7fec4c76227898eb,0x408ffe94d032c657,1 +np.float64,0x7fe2274ce1e44e99,0x408ff975194cfdff,1 +np.float64,0x7fe670e1b4ace1c2,0x408ffbe78cc451de,1 +np.float64,0x7fe853871db0a70d,0x408ffcd5e6a6ff47,1 +np.float64,0x3fcbf265db37e4cc,0xc0019026336e1176,1 +np.float64,0x3fef033cef3e067a,0xbfa726712eaae7f0,1 +np.float64,0x5d74973abae94,0xc08ffba15e6bb992,1 +np.float64,0x7fdd9c99b6bb3932,0x408ff71ad24a7ae0,1 +np.float64,0xbdc8e09b7b91c,0xc08ff3744939e9a3,1 +np.float64,0xdbfcff71b7fa0,0xc08ff1bfeecc9dfb,1 +np.float64,0xf9b38cf5f3672,0xc08ff0499af34a43,1 +np.float64,0x3fea820aa6b50415,0xbfd162a38e1927b1,1 +np.float64,0x3fe67f59a12cfeb3,0xbfe04412adca49dc,1 +np.float64,0x3feb301d9c76603b,0xbfce17e6edeb92d5,1 +np.float64,0x828ce00b0519c,0xc08ff7c5b5c57cde,1 +np.float64,0x4f935e229f26c,0xc08ffd7c67c1c54f,1 +np.float64,0x7fcd139e023a273b,0x408feee4f12ff11e,1 +np.float64,0x666a9944ccd54,0xc08ffa92d5e5cd64,1 +np.float64,0x3fe792f0fa6f25e2,0xbfdc374fda28f470,1 +np.float64,0xe996029bd32c1,0xc08ff10eb9b47a11,1 +np.float64,0x3fe7b0dd1eef61ba,0xbfdbc2676dc77db0,1 +np.float64,0x7fd3ec0127a7d801,0x408ff287bf47e27d,1 +np.float64,0x3fe793a8ea6f2752,0xbfdc347f7717e48d,1 +np.float64,0x7fdb89d15e3713a2,0x408ff64457a13ea2,1 +np.float64,0x3fe35b3cbbe6b679,0xbfe73557c8321b70,1 +np.float64,0x66573c94ccae8,0xc08ffa9504af7eb5,1 +np.float64,0x3fc620a2302c4144,0xc00442036b944a67,1 +np.float64,0x49b2fe0693660,0xc08ffe5f131c3c7e,1 +np.float64,0x7fda936cdfb526d9,0x408ff5db3ab3f701,1 +np.float64,0xc774ceef8ee9a,0xc08ff2e16d082fa1,1 +np.float64,0x4da9f8a09b55,0xc0900ee2206d0c88,1 +np.float64,0x3fe2ca5d5ae594bb,0xbfe89406611a5f1a,1 +np.float64,0x7fe0832497e10648,0x408ff85d1de6056e,1 +np.float64,0x3fe6a9e3222d53c6,0xbfdfda35a9bc2de1,1 +np.float64,0x3fed3d92c8ba7b26,0xbfc0a73620db8b98,1 +np.float64,0x3fdd2ec093ba5d81,0xbff2209cf78ce3f1,1 +np.float64,0x62fcb968c5f98,0xc08ffaf775a593c7,1 +np.float64,0xfcfb019ff9f60,0xc08ff0230e95bd16,1 +np.float64,0x3fd7a63e8f2f4c7d,0xbff6faf4fff7dbe0,1 +np.float64,0x3fef23b0ec3e4762,0xbfa4230cb176f917,1 +np.float64,0x340d1e6a681a5,0xc09001314b68a0a2,1 +np.float64,0x7fc0b85ba02170b6,0x408fe8821487b802,1 +np.float64,0x7fe9976e84f32edc,0x408ffd6bb6aaf467,1 +np.float64,0x329a0e9e65343,0xc090015b044e3270,1 +np.float64,0x3fea4928d3f49252,0xbfd2299b05546eab,1 +np.float64,0x3f188c70003118e0,0xc02ac3ce23bc5d5a,1 +np.float64,0x3fecce5020b99ca0,0xbfc36b23153d5f50,1 +np.float64,0x3fe203873e24070e,0xbfea86edb3690830,1 +np.float64,0x3fe02d9eaa205b3d,0xbfef7d18c54a76d2,1 +np.float64,0xef7537ebdeea7,0xc08ff0c55e9d89e7,1 +np.float64,0x3fedf7572efbeeae,0xbfb840af357cf07c,1 +np.float64,0xd1a97a61a354,0xc0900926fdfb96cc,1 +np.float64,0x7fe6a0daeced41b5,0x408ffc001edf1407,1 +np.float64,0x3fe5063625aa0c6c,0xbfe3647cfb949d62,1 +np.float64,0x7fe9b28d31736519,0x408ffd77eb4a922b,1 +np.float64,0x7feea90d033d5219,0x408fff81a4bbff62,1 +np.float64,0x3fe9494d17f2929a,0xbfd5bde02eb5287a,1 +np.float64,0x7feee17a8cbdc2f4,0x408fff96cf0dc16a,1 +np.float64,0xb2ad18ef655a3,0xc08ff4267eda8af8,1 +np.float64,0x3fad3b52683a76a5,0xc01085ab75b797ce,1 +np.float64,0x2300a65846016,0xc090037b81ce9500,1 +np.float64,0x3feb1041f9b62084,0xbfcef0c87d8b3249,1 +np.float64,0x3fdd887d3e3b10fa,0xbff1da0e1ede6db2,1 +np.float64,0x3fd3e410eb27c822,0xbffaf9b5fc9cc8cc,1 +np.float64,0x3fe0aa53e3e154a8,0xbfee1e7b5c486578,1 +np.float64,0x7fe33e389aa67c70,0x408ffa214fe50961,1 +np.float64,0x3fd27e3a43a4fc75,0xbffca84a79e8adeb,1 +np.float64,0x3fb309e0082613c0,0xc00dfe407b77a508,1 +np.float64,0x7feaf2ed8cf5e5da,0x408ffe046a9d1ba9,1 +np.float64,0x1e76167a3cec4,0xc0900448cd35ec67,1 +np.float64,0x3fe0a18e1721431c,0xbfee36cf1165a0d4,1 +np.float64,0x3fa73b78c02e76f2,0xc011d9069823b172,1 +np.float64,0x3fef6d48287eda90,0xbf9ab2d08722c101,1 +np.float64,0x8fdf0da31fbe2,0xc08ff6a6a2accaa1,1 +np.float64,0x3fc3638db826c71b,0xc005c86191688826,1 +np.float64,0xaa9c09c555381,0xc08ff4aefe1d9473,1 +np.float64,0x7fccb0f4523961e8,0x408feebd84773f23,1 +np.float64,0xede75dcfdbcec,0xc08ff0d89ba887d1,1 +np.float64,0x7f8a051520340a29,0x408fcd9cc17f0d95,1 +np.float64,0x3fef5ca2babeb945,0xbf9dc221f3618e6a,1 +np.float64,0x7fea0ff4bcf41fe8,0x408ffda193359f22,1 +np.float64,0x7fe05c53fd20b8a7,0x408ff841dc7123e8,1 +np.float64,0x3fc625664b2c4acd,0xc0043f8749b9a1d8,1 +np.float64,0x7fed58f98f7ab1f2,0x408fff00585f48c2,1 +np.float64,0x3fb3e5e51427cbca,0xc00d7bcb6528cafe,1 +np.float64,0x3fe728bd3d6e517a,0xbfdddafa72bd0f60,1 +np.float64,0x3fe3f005dd27e00c,0xbfe5d7b3ec93bca0,1 +np.float64,0x3fd74fbd1a2e9f7a,0xbff750001b63ce81,1 +np.float64,0x3fd3af6d85a75edb,0xbffb371d678d11b4,1 +np.float64,0x7fa690ad8c2d215a,0x408fdbf7db9c7640,1 +np.float64,0x3fbdfd38e23bfa72,0xc008bfc1c5c9b89e,1 +np.float64,0x3fe2374684a46e8d,0xbfea030c4595dfba,1 +np.float64,0x7fc0806c372100d7,0x408fe85b36fee334,1 +np.float64,0x3fef3ac47b7e7589,0xbfa2007195c5213f,1 +np.float64,0x3fb55473922aa8e7,0xc00cae7af8230e0c,1 +np.float64,0x7fe018dc152031b7,0x408ff811e0d712fa,1 +np.float64,0x3fe3b3fca56767f9,0xbfe6638ae2c99c62,1 +np.float64,0x7fac79818c38f302,0x408fdea720b39c3c,1 +np.float64,0x7fefffffffffffff,0x4090000000000000,1 +np.float64,0xd2b290cba5652,0xc08ff23f6d7152a6,1 +np.float64,0x7fc5848eb52b091c,0x408feb6b6f8b77d0,1 +np.float64,0xf399f62de733f,0xc08ff092ae319ad8,1 +np.float64,0x7fdec56c12bd8ad7,0x408ff78c4ddbc667,1 +np.float64,0x3fca640f1e34c81e,0xc0023969c5cbfa4c,1 +np.float64,0x3fd55225db2aa44c,0xbff95f7442a2189e,1 +np.float64,0x7fefa009a97f4012,0x408fffdd2f42ef9f,1 +np.float64,0x4a3b70609478,0xc0900f24e449bc3d,1 +np.float64,0x7fe3738b1ba6e715,0x408ffa411f2cb5e7,1 +np.float64,0x7fe5e53f0b6bca7d,0x408ffb9ed8d95cea,1 +np.float64,0x3fe274dd24a4e9ba,0xbfe967fb114b2a83,1 +np.float64,0x3fcbc58b8c378b17,0xc001a2bb1e158bcc,1 +np.float64,0x3fefc2c0043f8580,0xbf862c9b464dcf38,1 +np.float64,0xc2c4fafd858a0,0xc08ff327aecc409b,1 +np.float64,0x3fd8bc39a9b17873,0xbff5f1ad46e5a51c,1 +np.float64,0x3fdf341656be682d,0xbff094f41e7cb4c4,1 +np.float64,0x3fef8495c13f092c,0xbf966cf6313bae4c,1 +np.float64,0x3fe14e0f05229c1e,0xbfec6166f26b7161,1 +np.float64,0x3fed42d3b2ba85a7,0xbfc0860b773d35d8,1 +np.float64,0x7fd92bbac5b25775,0x408ff53abcb3fe0c,1 +np.float64,0xb1635b6f62c6c,0xc08ff43bdf47accf,1 +np.float64,0x4a3a2dbc94746,0xc08ffe49fabddb36,1 +np.float64,0x87d831290fb06,0xc08ff750419dc6fb,1 +np.float64,0x3fec4713f7f88e28,0xbfc6d6217c9f5cf9,1 +np.float64,0x7fed43ba2d3a8773,0x408ffef7fa2fc303,1 +np.float64,0x7fd1ec5b56a3d8b6,0x408ff14f62615f1e,1 +np.float64,0x3fee534b6c7ca697,0xbfb3da1951aa3e68,1 +np.float64,0x3febb564c2b76aca,0xbfca9737062e55e7,1 +np.float64,0x943e6b0f287ce,0xc08ff64e2d09335c,1 +np.float64,0xf177d957e2efb,0xc08ff0acab2999fa,1 +np.float64,0x7fb5b881a82b7102,0x408fe3872b4fde5e,1 +np.float64,0x3fdb2b4a97b65695,0xbff3c715c91359bc,1 +np.float64,0x3fac0a17e4381430,0xc010c330967309fb,1 +np.float64,0x7fd8057990b00af2,0x408ff4b0a287a348,1 +np.float64,0x1f9026a23f206,0xc09004144f3a19dd,1 +np.float64,0x3fdb2977243652ee,0xbff3c8a2fd05803d,1 +np.float64,0x3fe0f6e74b21edcf,0xbfed4c3bb956bae0,1 +np.float64,0xde9cc3bbbd399,0xc08ff19ce5c1e762,1 +np.float64,0x3fe72ce106ae59c2,0xbfddca7ab14ceba2,1 +np.float64,0x3fa8ee14e031dc2a,0xc01170d54ca88e86,1 +np.float64,0x3fe0b09bbb216137,0xbfee0d189a95b877,1 +np.float64,0x7fdfdcb157bfb962,0x408ff7f33cf2afea,1 +np.float64,0x3fef84d5f53f09ac,0xbf966134e2a154f4,1 +np.float64,0x3fea0e0b1bb41c16,0xbfd2fa2d36637d19,1 +np.float64,0x1ab76fd6356ef,0xc090050a9616ffbd,1 +np.float64,0x7fd0ccf79a2199ee,0x408ff09045af2dee,1 +np.float64,0x7fea929345f52526,0x408ffddadc322b07,1 +np.float64,0x3fe9ef629cf3dec5,0xbfd367129c166838,1 +np.float64,0x3feedf0ea2fdbe1d,0xbfaa862afca44c00,1 +np.float64,0x7fce725f723ce4be,0x408fef6cfd2769a8,1 +np.float64,0x7fe4313b3ca86275,0x408ffaaf9557ef8c,1 +np.float64,0xe2d46463c5a8d,0xc08ff165725c6b08,1 +np.float64,0x7fbacb4ace359695,0x408fe5f3647bd0d5,1 +np.float64,0x3fbafd009635fa01,0xc009f745a7a5c5d5,1 +np.float64,0x3fe3cea66ce79d4d,0xbfe6253b895e2838,1 +np.float64,0x7feaa71484354e28,0x408ffde3c0bad2a6,1 +np.float64,0x3fd755b8b42eab71,0xbff74a1444c6e654,1 +np.float64,0x3fc313e2172627c4,0xc005f830e77940c3,1 +np.float64,0x12d699a225ad4,0xc090070ec00f2338,1 +np.float64,0x3fa975fe8432ebfd,0xc01151b3da48b3f9,1 +np.float64,0x7fdce3103b39c61f,0x408ff6d19b3326fa,1 +np.float64,0x7fd341cbba268396,0x408ff2237490fdca,1 +np.float64,0x3fd8405885b080b1,0xbff6666d8802a7d5,1 +np.float64,0x3fe0f0cca3a1e199,0xbfed5cdb3e600791,1 +np.float64,0x7fbd56680c3aaccf,0x408fe6ff55bf378d,1 +np.float64,0x3f939c4f3027389e,0xc016d364dd6313fb,1 +np.float64,0x3fe9e87fac73d0ff,0xbfd37f9a2be4fe38,1 +np.float64,0x7fc93c6a883278d4,0x408fed4260e614f1,1 +np.float64,0x7fa88c0ff031181f,0x408fdcf09a46bd3a,1 +np.float64,0xd5487f99aa910,0xc08ff21b6390ab3b,1 +np.float64,0x3fe34acc96e69599,0xbfe75c9d290428fb,1 +np.float64,0x3fd17f5964a2feb3,0xbffdef50b524137b,1 +np.float64,0xe23dec0dc47be,0xc08ff16d1ce61dcb,1 +np.float64,0x3fec8bd64fb917ad,0xbfc5173941614b8f,1 +np.float64,0x3fc81d97d7303b30,0xc00343ccb791401d,1 +np.float64,0x7fe79ad18e2f35a2,0x408ffc7cf0ab0f2a,1 +np.float64,0x3f96306b402c60d7,0xc0161ce54754cac1,1 +np.float64,0xfb09fc97f6140,0xc08ff039d1d30123,1 +np.float64,0x3fec9c4afa793896,0xbfc4ace43ee46079,1 +np.float64,0x3f9262dac824c5b6,0xc01732a3a7eeb598,1 +np.float64,0x3fa5cd33f42b9a68,0xc01236ed4d315a3a,1 +np.float64,0x3fe7bb336caf7667,0xbfdb9a268a82e267,1 +np.float64,0xc6c338f98d867,0xc08ff2ebb8475bbc,1 +np.float64,0x3fd50714482a0e29,0xbff9b14a9f84f2c2,1 +np.float64,0xfff0000000000000,0x7ff8000000000000,1 +np.float64,0x3fde2cd0f93c59a2,0xbff15afe35a43a37,1 +np.float64,0xf1719cb9e2e34,0xc08ff0acf77b06d3,1 +np.float64,0xfd3caaf9fa796,0xc08ff020101771bd,1 +np.float64,0x7f750d63a02a1ac6,0x408fc32ad0caa362,1 +np.float64,0x7fcc50f4e238a1e9,0x408fee96a5622f1a,1 +np.float64,0x421d1da0843a4,0xc08fff9ffe62d869,1 +np.float64,0x3fd9e17023b3c2e0,0xbff4e631d687ee8e,1 +np.float64,0x3fe4999a09693334,0xbfe4556b3734c215,1 +np.float64,0xd619ef03ac33e,0xc08ff21013c85529,1 +np.float64,0x3fc4da522229b4a4,0xc004f150b2c573aa,1 +np.float64,0x3feb04b053b60961,0xbfcf3fc9e00ebc40,1 +np.float64,0x3fbedec5ea3dbd8c,0xc0086a33dc22fab5,1 +np.float64,0x7fec3b217ab87642,0x408ffe8dbc8ca041,1 +np.float64,0xdb257d33b64b0,0xc08ff1cb42d3c182,1 +np.float64,0x7fa2d92ec025b25d,0x408fd9e414d11cb0,1 +np.float64,0x3fa425c550284b8b,0xc012ab7cbf83be12,1 +np.float64,0x10b4869021692,0xc09007c0487d648a,1 +np.float64,0x7f97918c902f2318,0x408fd47867806574,1 +np.float64,0x3fe4f91238e9f224,0xbfe38160b4e99919,1 +np.float64,0x3fc2b1af6125635f,0xc00634343bc58461,1 +np.float64,0x3fc2a98071255301,0xc0063942bc8301be,1 +np.float64,0x3fe4cfc585299f8b,0xbfe3dca39f114f34,1 +np.float64,0x3fd1ea75b3a3d4eb,0xbffd63acd02c5406,1 +np.float64,0x3fd6bf48492d7e91,0xbff7e0cd249f80f9,1 +np.float64,0x76643d36ecc88,0xc08ff8e68f13b38c,1 +np.float64,0x7feeabab3e7d5755,0x408fff82a0fd4501,1 +np.float64,0x46c0d4a68d81b,0xc08ffed79abaddc9,1 +np.float64,0x3fd088d57ca111ab,0xbfff3dd0ed7128ea,1 +np.float64,0x3fed25887cba4b11,0xbfc13f47639bd645,1 +np.float64,0x7fd90984b4b21308,0x408ff52b022c7fb4,1 +np.float64,0x3fe6ef31daadde64,0xbfdec185760cbf21,1 +np.float64,0x3fe48dbe83291b7d,0xbfe47005b99920bd,1 +np.float64,0x3fdce8422f39d084,0xbff258a33a96cc8e,1 +np.float64,0xb8ecdef771d9c,0xc08ff3c0eca61b10,1 +np.float64,0x3fe9bbf9a03377f3,0xbfd41ecfdcc336b9,1 +np.float64,0x7fe2565339a4aca5,0x408ff992d8851eaf,1 +np.float64,0x3fe1693e3822d27c,0xbfec1919da2ca697,1 +np.float64,0x3fd3680488a6d009,0xbffb8b7330275947,1 +np.float64,0x7fbe4f3d2c3c9e79,0x408fe75fa3f4e600,1 +np.float64,0x7fd4cfef3ca99fdd,0x408ff308ee3ab50f,1 +np.float64,0x3fd9c9a51cb3934a,0xbff4fb7440055ce6,1 +np.float64,0x3fe08a9640a1152d,0xbfee76bd1bfbf5c2,1 +np.float64,0x3fef012c41fe0259,0xbfa757a2da7f9707,1 +np.float64,0x3fee653fe2fcca80,0xbfb2ffae0c95025c,1 +np.float64,0x7fd0776933a0eed1,0x408ff054e7b43d41,1 +np.float64,0x4c94e5c09929d,0xc08ffdedb7f49e5e,1 +np.float64,0xca3e3d17947c8,0xc08ff2b86dce2f7a,1 +np.float64,0x3fb528e1342a51c2,0xc00cc626c8e2d9ba,1 +np.float64,0xd774df81aee9c,0xc08ff1fd6f0a7548,1 +np.float64,0x3fc47a9b6128f537,0xc00526c577b80849,1 +np.float64,0x3fe29a6f6a6534df,0xbfe90a5f83644911,1 +np.float64,0x3fecda4f59f9b49f,0xbfc31e4a80c4cbb6,1 +np.float64,0x7fe51d44f5aa3a89,0x408ffb3382437426,1 +np.float64,0x3fd677fc412ceff9,0xbff82999086977e7,1 +np.float64,0x3fe2a3c7e7254790,0xbfe8f33415cdba9d,1 +np.float64,0x3fe6d8d1dc6db1a4,0xbfdf1bc61bc24dff,1 +np.float64,0x7febb32d8ef7665a,0x408ffe55a043ded1,1 +np.float64,0x60677860c0d0,0xc0900da2caa7d571,1 +np.float64,0x7390c2e0e7219,0xc08ff92df18bb5d2,1 +np.float64,0x3fca53711b34a6e2,0xc00240b07a9b529b,1 +np.float64,0x7fe7ce6dd8ef9cdb,0x408ffc961164ead9,1 +np.float64,0x7fc0c9de0d2193bb,0x408fe88e245767f6,1 +np.float64,0xc0ee217981dc4,0xc08ff343b77ea770,1 +np.float64,0x72bd4668e57a9,0xc08ff94323fd74fc,1 +np.float64,0x7fd6970e252d2e1b,0x408ff3fb1e2fead2,1 +np.float64,0x7fdcb61040396c20,0x408ff6bf926bc98f,1 +np.float64,0xda4faa25b49f6,0xc08ff1d68b3877f0,1 +np.float64,0x3feb344749f6688f,0xbfcdfba2d66c72c5,1 +np.float64,0x3fe2aa4284e55485,0xbfe8e32ae0683f57,1 +np.float64,0x3f8e8fcfd03d1fa0,0xc01843efb2129908,1 +np.float64,0x8000000000000000,0xfff0000000000000,1 +np.float64,0x3fd8e01155b1c023,0xbff5d0529dae9515,1 +np.float64,0x3fe8033f3370067e,0xbfda837c80b87e7c,1 +np.float64,0x7fc5bf831e2b7f05,0x408feb8ae3b039a0,1 +np.float64,0x3fd8dcdf5331b9bf,0xbff5d349e1ed422a,1 +np.float64,0x3fe58b4e302b169c,0xbfe243c9cbccde44,1 +np.float64,0x3fea8a2e47b5145d,0xbfd1464e37221894,1 +np.float64,0x75cd1e88eb9a4,0xc08ff8f553ef0475,1 +np.float64,0x7fcfc876e23f90ed,0x408fefebe6cc95e6,1 +np.float64,0x7f51aceb002359d5,0x408fb1263f9003fb,1 +np.float64,0x7fc2a1b877254370,0x408fe9c1ec52f8b9,1 +np.float64,0x7fd495810e292b01,0x408ff2e859414d31,1 +np.float64,0x7fd72048632e4090,0x408ff440690cebdb,1 +np.float64,0x7fd7aafaffaf6,0xc08ff803a390779f,1 +np.float64,0x7fe18067d4a300cf,0x408ff9090a02693f,1 +np.float64,0x3fdc1080f8b82102,0xbff3077bf44a89bd,1 +np.float64,0x3fc34a462f26948c,0xc005d777b3cdf139,1 +np.float64,0x3fe21e4a1fe43c94,0xbfea428acfbc6ea9,1 +np.float64,0x1f0d79083e1b0,0xc090042c65a7abf2,1 +np.float64,0x3fe8d0d15931a1a3,0xbfd779f6bbd4db78,1 +np.float64,0x3fe74578022e8af0,0xbfdd68b6c15e9f5e,1 +np.float64,0x50995dd0a132c,0xc08ffd56a5c8accf,1 +np.float64,0x3f9a6342b034c685,0xc0151ce1973c62bd,1 +np.float64,0x3f30856a00210ad4,0xc027e852f4d1fcbc,1 +np.float64,0x3febcf7646b79eed,0xbfc9e9cc9d12425c,1 +np.float64,0x8010000000000000,0x7ff8000000000000,1 +np.float64,0x3fdf520c02bea418,0xbff07ed5013f3062,1 +np.float64,0x3fe5433ecbea867e,0xbfe2df38968b6d14,1 +np.float64,0x3fb933a84e326751,0xc00ac1a144ad26c5,1 +np.float64,0x7b6d72c2f6daf,0xc08ff86b7a67f962,1 +np.float64,0xaef5dae75debc,0xc08ff46496bb2932,1 +np.float64,0x522d869aa45b1,0xc08ffd1d55281e98,1 +np.float64,0xa2462b05448c6,0xc08ff542fe0ac5fd,1 +np.float64,0x3fe2b71dd6e56e3c,0xbfe8c3690cf15415,1 +np.float64,0x3fe5778231aaef04,0xbfe26e495d09b783,1 +np.float64,0x3fe9b8d564f371ab,0xbfd42a161132970d,1 +np.float64,0x3f89ebc34033d787,0xc019373f90bfc7f1,1 +np.float64,0x3fe438ddc6e871bc,0xbfe53039341b0a93,1 +np.float64,0x873c75250e78f,0xc08ff75d8478dccd,1 +np.float64,0x807134cb00e27,0xc08ff7f5cf59c57a,1 +np.float64,0x3fac459878388b31,0xc010b6fe803bcdc2,1 +np.float64,0xca9dc7eb953b9,0xc08ff2b2fb480784,1 +np.float64,0x7feb38587bb670b0,0x408ffe21ff6d521e,1 +np.float64,0x7fd70e9b782e1d36,0x408ff437936b393a,1 +np.float64,0x3fa4037bbc2806f7,0xc012b55744c65ab2,1 +np.float64,0x3fd3d4637427a8c7,0xbffb0beebf4311ef,1 +np.float64,0x7fdabbda5db577b4,0x408ff5ecbc0d4428,1 +np.float64,0x7fda9be0a2b537c0,0x408ff5dee5d03d5a,1 +np.float64,0x7fe9c74396338e86,0x408ffd813506a18a,1 +np.float64,0x3fd058243e20b048,0xbfff822ffd8a7f21,1 +np.float64,0x3fe6aa6ca9ed54d9,0xbfdfd805629ff49e,1 +np.float64,0x3fd91431d5322864,0xbff5a025eea8c78b,1 +np.float64,0x7fe4d7f02329afdf,0x408ffb0d5d9b7878,1 +np.float64,0x3fe2954a12252a94,0xbfe917266e3e22d5,1 +np.float64,0x3fb25f7c8224bef9,0xc00e6764c81b3718,1 +np.float64,0x3fda4bddeeb497bc,0xbff4880638908c81,1 +np.float64,0x55dfd12eabbfb,0xc08ffc9b54ff4002,1 +np.float64,0x3fe8f399e031e734,0xbfd6f8e5c4dcd93f,1 +np.float64,0x3fd954a24832a945,0xbff56521f4707a06,1 +np.float64,0x3fdea911f2bd5224,0xbff0fcb2d0c2b2e2,1 +np.float64,0x3fe6b4ff8a2d69ff,0xbfdfacfc85cafeab,1 +np.float64,0x3fc7fa02042ff404,0xc00354e13b0767ad,1 +np.float64,0x3fe955088c72aa11,0xbfd593130f29949e,1 +np.float64,0xd7e74ec1afcea,0xc08ff1f74f61721c,1 +np.float64,0x3fe9d69c1ab3ad38,0xbfd3bf710a337e06,1 +np.float64,0x3fd85669a2b0acd3,0xbff65176143ccc1e,1 +np.float64,0x3fea99b285353365,0xbfd11062744783f2,1 +np.float64,0x3fe2c79f80a58f3f,0xbfe89ac33f990289,1 +np.float64,0x3f8332ba30266574,0xc01af2cb7b635783,1 +np.float64,0x30d0150061a1,0xc090119030f74c5d,1 +np.float64,0x3fdbf4cb06b7e996,0xbff31e5207aaa754,1 +np.float64,0x3fe6b56c216d6ad8,0xbfdfab42fb2941c5,1 +np.float64,0x7fc4dc239829b846,0x408feb0fb0e13fbe,1 +np.float64,0x3fd0ab85ef21570c,0xbfff0d95d6c7a35c,1 +np.float64,0x7fe13d75e5e27aeb,0x408ff8dc8efa476b,1 +np.float64,0x3fece3b832f9c770,0xbfc2e21b165d583f,1 +np.float64,0x3fe3a279c4e744f4,0xbfe68ca4fbb55dbf,1 +np.float64,0x3feb64659ef6c8cb,0xbfccb6204b6bf724,1 +np.float64,0x2279a6bc44f36,0xc0900391eeeb3e7c,1 +np.float64,0xb88046d571009,0xc08ff3c7b5b45300,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0x3fe49af059a935e1,0xbfe4526c294f248f,1 +np.float64,0xa3e5508147cc,0xc0900a92ce5924b1,1 +np.float64,0x7fc56def3d2adbdd,0x408feb5f46c360e8,1 +np.float64,0x7fd99f3574333e6a,0x408ff56f3807987c,1 +np.float64,0x3fdc38d56fb871ab,0xbff2e667cad8f36a,1 +np.float64,0xd0b03507a1607,0xc08ff25bbcf8aa9d,1 +np.float64,0xc493f9078927f,0xc08ff30c5fa4e759,1 +np.float64,0x3fc86ddbcb30dbb8,0xc0031da1fcb56d75,1 +np.float64,0x7fe75dc395aebb86,0x408ffc5eef841491,1 +np.float64,0x1647618a2c8ed,0xc0900616ef9479c1,1 +np.float64,0xdf144763be289,0xc08ff196b527f3c9,1 +np.float64,0x3fe0b29da6a1653b,0xbfee078b5f4d7744,1 +np.float64,0x3feb055852b60ab1,0xbfcf3b4db5779a7a,1 +np.float64,0x3fe8bc1625f1782c,0xbfd7c739ade904bc,1 +np.float64,0x7fd19bfb8ea337f6,0x408ff11b2b55699c,1 +np.float64,0x3fed1d80d1ba3b02,0xbfc1722e8d3ce094,1 +np.float64,0x2d9c65925b38e,0xc09001f46bcd3bc5,1 +np.float64,0x7fed6f4d857ade9a,0x408fff091cf6a3b4,1 +np.float64,0x3fd070cd6ba0e19b,0xbfff5f7609ca29e8,1 +np.float64,0x7fea3508b8f46a10,0x408ffdb1f30bd6be,1 +np.float64,0x508b897ca1172,0xc08ffd58a0eb3583,1 +np.float64,0x7feba367b07746ce,0x408ffe4f0bf4bd4e,1 +np.float64,0x3fefebd5c4bfd7ac,0xbf6d20b4fcf21b69,1 +np.float64,0x3fd8ef07b8b1de0f,0xbff5c2745c0795a5,1 +np.float64,0x3fd38ed518271daa,0xbffb5d75f00f6900,1 +np.float64,0x6de0fecedbc20,0xc08ff9c307bbc647,1 +np.float64,0xafc0ffc35f820,0xc08ff45737e5d6b4,1 +np.float64,0x7fd282097ca50412,0x408ff1ae3b27bf3b,1 +np.float64,0x3fe2f2d50b65e5aa,0xbfe831042e6a1e99,1 +np.float64,0x3faa437bac3486f7,0xc01123d8d962205a,1 +np.float64,0x3feea54434fd4a88,0xbfaff202cc456647,1 +np.float64,0x3fc9e65b8633ccb7,0xc00270e77ffd19da,1 +np.float64,0x7fee15af61fc2b5e,0x408fff49a49154a3,1 +np.float64,0x7fefe670a73fcce0,0x408ffff6c44c1005,1 +np.float64,0x3fc0832d0f21065a,0xc007a2dc2f25384a,1 +np.float64,0x3fecfc96bcb9f92d,0xbfc24367c3912620,1 +np.float64,0x3feb705682b6e0ad,0xbfcc65b1bb16f9c5,1 +np.float64,0x3fe185c4f9630b8a,0xbfebcdb401af67a4,1 +np.float64,0x3fb0a5a9f6214b54,0xc00f8ada2566a047,1 +np.float64,0x7fe2908cdda52119,0x408ff9b744861fb1,1 +np.float64,0x7fee776e183ceedb,0x408fff6ee7c2f86e,1 +np.float64,0x3fce1d608f3c3ac1,0xc000b3685d006474,1 +np.float64,0x7fecf92aa339f254,0x408ffeda6c998267,1 +np.float64,0xce13cb519c27a,0xc08ff280f02882a9,1 +np.float64,0x1,0xc090c80000000000,1 +np.float64,0x3fe485a8afa90b51,0xbfe4823265d5a50a,1 +np.float64,0x3feea60908bd4c12,0xbfafdf7ad7fe203f,1 +np.float64,0x3fd2253033a44a60,0xbffd187d0ec8d5b9,1 +np.float64,0x435338fc86a68,0xc08fff6a591059dd,1 +np.float64,0x7fce8763a73d0ec6,0x408fef74f1e715ff,1 +np.float64,0x3fbe5ddb783cbbb7,0xc0089acc5afa794b,1 +np.float64,0x7fe4cf19ada99e32,0x408ffb0877ca302b,1 +np.float64,0x3fe94c9ea1b2993d,0xbfd5b1c2e867b911,1 +np.float64,0x3fe75541c72eaa84,0xbfdd2a27aa117699,1 +np.float64,0x8000000000000001,0x7ff8000000000000,1 +np.float64,0x7fdbec7f2c37d8fd,0x408ff66d69a7f818,1 +np.float64,0x8ef10d091de22,0xc08ff6b9ca5094f8,1 +np.float64,0x3fea69025b74d205,0xbfd1b9fe2c252c70,1 +np.float64,0x562376d0ac46f,0xc08ffc924111cd31,1 +np.float64,0x8e8097ab1d013,0xc08ff6c2e2706f67,1 +np.float64,0x3fca6803ed34d008,0xc00237aef808825b,1 +np.float64,0x7fe8fe9067b1fd20,0x408ffd25f459a7d1,1 +np.float64,0x3f918e8c7f233,0xc0900009fe011d54,1 +np.float64,0x3fdfe773833fcee7,0xbff011bc1af87bb9,1 +np.float64,0xefffef6fdfffe,0xc08ff0beb0f09eb0,1 +np.float64,0x7fe64610282c8c1f,0x408ffbd17209db18,1 +np.float64,0xe66be8c1ccd7d,0xc08ff13706c056e1,1 +np.float64,0x2837e570506fd,0xc09002ae4dae0c1a,1 +np.float64,0x3febe3a081f7c741,0xbfc964171f2a5a47,1 +np.float64,0x3fe21ed09a243da1,0xbfea41342d29c3ff,1 +np.float64,0x3fe1596c8162b2d9,0xbfec431eee30823a,1 +np.float64,0x8f2b9a131e574,0xc08ff6b51104ed4e,1 +np.float64,0x3fe88ed179711da3,0xbfd870d08a4a4b0c,1 +np.float64,0x34159bc2682b4,0xc09001305a885f94,1 +np.float64,0x1ed31e543da65,0xc0900437481577f8,1 +np.float64,0x3feafbe9de75f7d4,0xbfcf7bcdbacf1c61,1 +np.float64,0xfb16fb27f62e0,0xc08ff03938e682a2,1 +np.float64,0x3fe5cd5ba7eb9ab7,0xbfe1b7165771af3c,1 +np.float64,0x7fe72905e76e520b,0x408ffc44c4e7e80c,1 +np.float64,0x7fb7136e2e2e26db,0x408fe439fd383fb7,1 +np.float64,0x8fa585e11f4c,0xc0900b55a08a486b,1 +np.float64,0x7fed985ce47b30b9,0x408fff192b596821,1 +np.float64,0x3feaaf0869755e11,0xbfd0c671571b3764,1 +np.float64,0x3fa40fd4ec281faa,0xc012b1c8dc0b9e5f,1 +np.float64,0x7fda2a70993454e0,0x408ff5ad47b0c68a,1 +np.float64,0x3fe5f7e931abefd2,0xbfe15d52b3605abf,1 +np.float64,0x3fe9fc6d3533f8da,0xbfd338b06a790994,1 +np.float64,0x3fe060649420c0c9,0xbfeeed1756111891,1 +np.float64,0x3fce8435e33d086c,0xc0008c41cea9ed40,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x617820aec2f05,0xc08ffb251e9af0f0,1 +np.float64,0x7fcc4ab6ee38956d,0x408fee9419c8f77d,1 +np.float64,0x7fdefda2fc3dfb45,0x408ff7a15063bc05,1 +np.float64,0x7fe5138ccaaa2719,0x408ffb2e30f3a46e,1 +np.float64,0x3fe3817a836702f5,0xbfe6da7c2b25e35a,1 +np.float64,0x3fb8a7dafa314fb6,0xc00b025bc0784ebe,1 +np.float64,0x349dc420693d,0xc09011215825d2c8,1 +np.float64,0x6b0e504ad61cb,0xc08ffa0fee9c5cd6,1 +np.float64,0x273987644e732,0xc09002d34294ed79,1 +np.float64,0x3fc0bd8a6e217b15,0xc0077a5828b4d2f5,1 +np.float64,0x758b48c4eb16a,0xc08ff8fbc8fbe46a,1 +np.float64,0x3fc8a9a52631534a,0xc00301854ec0ef81,1 +np.float64,0x7fe79d29a76f3a52,0x408ffc7e1607a4c1,1 +np.float64,0x3fd7d3ebce2fa7d8,0xbff6ce8a94aebcda,1 +np.float64,0x7fd1cb68a52396d0,0x408ff13a17533b2b,1 +np.float64,0x7fda514a5d34a294,0x408ff5be5e081578,1 +np.float64,0x3fc40b4382281687,0xc0056632c8067228,1 +np.float64,0x7feff1208c3fe240,0x408ffffaa180fa0d,1 +np.float64,0x8f58739f1eb0f,0xc08ff6b17402689d,1 +np.float64,0x1fdbe9a23fb7e,0xc090040685b2d24f,1 +np.float64,0xcb1d0e87963a2,0xc08ff2abbd903b82,1 +np.float64,0x3fc45a6a1a28b4d4,0xc00538f86c4aeaee,1 +np.float64,0x3fe61885b1ac310b,0xbfe118fd2251d2ec,1 +np.float64,0x3fedf584c8fbeb0a,0xbfb8572433ff67a9,1 +np.float64,0x7fb0bddd1a217bb9,0x408fe085e0d621db,1 +np.float64,0x72d8d3e0e5b3,0xc0900ca02f68c7a1,1 +np.float64,0x5cca6ff6b994f,0xc08ffbb6751fda01,1 +np.float64,0x7fe3197839a632ef,0x408ffa0b2fccfb68,1 +np.float64,0x3fcce4d9c139c9b4,0xc0012dae05baa91b,1 +np.float64,0x3fe76d00f62eda02,0xbfdccc5f12799be1,1 +np.float64,0x3fc53c22f72a7846,0xc004bbaa9cbc7958,1 +np.float64,0x7fdda02f1ebb405d,0x408ff71c37c71659,1 +np.float64,0x3fe0844eaba1089d,0xbfee884722762583,1 +np.float64,0x3febb438dc776872,0xbfca9f05e1c691f1,1 +np.float64,0x3fdf4170cdbe82e2,0xbff08b1561c8d848,1 +np.float64,0x3fce1b8d6f3c371b,0xc000b41b69507671,1 +np.float64,0x8370e60706e1d,0xc08ff7b19ea0b4ca,1 +np.float64,0x7fa5bf92382b7f23,0x408fdb8aebb3df87,1 +np.float64,0x7fe4a59979a94b32,0x408ffaf15c1358cd,1 +np.float64,0x3faa66086034cc11,0xc0111c466b7835d6,1 +np.float64,0x7fb7a958262f52af,0x408fe48408b1e093,1 +np.float64,0x3fdaacc5f635598c,0xbff43390d06b5614,1 +np.float64,0x3fd2825b9e2504b7,0xbffca3234264f109,1 +np.float64,0x3fcede160a3dbc2c,0xc0006a759e29060c,1 +np.float64,0x7fd3b19603a7632b,0x408ff265b528371c,1 +np.float64,0x7fcf8a86ea3f150d,0x408fefd552e7f3b2,1 +np.float64,0xedbcc0f7db798,0xc08ff0daad12096b,1 +np.float64,0xf1e1683de3c2d,0xc08ff0a7a0a37e00,1 +np.float64,0xb6ebd9bf6dd7b,0xc08ff3e11e28378d,1 +np.float64,0x3fec8090d6f90122,0xbfc56031b72194cc,1 +np.float64,0x3fd3e10e37a7c21c,0xbffafd34a3ebc933,1 +np.float64,0x7fbb1c96aa36392c,0x408fe616347b3342,1 +np.float64,0x3fe2f3996f25e733,0xbfe82f25bc5d1bbd,1 +np.float64,0x7fe8709da870e13a,0x408ffce3ab6ce59a,1 +np.float64,0x7fea3233d1b46467,0x408ffdb0b3bbc6de,1 +np.float64,0x65fa4112cbf49,0xc08ffa9f85eb72b9,1 +np.float64,0x3fca2cae9f34595d,0xc00251bb275afb87,1 +np.float64,0x8135fd9f026c0,0xc08ff7e42e14dce7,1 +np.float64,0x7fe0a6f057e14de0,0x408ff876081a4bfe,1 +np.float64,0x10000000000000,0xc08ff00000000000,1 +np.float64,0x3fe1fd506263faa1,0xbfea96dd8c543b72,1 +np.float64,0xa5532c554aa66,0xc08ff50bf5bfc66d,1 +np.float64,0xc239d00b8473a,0xc08ff32ff0ea3f92,1 +np.float64,0x7fdb5314e336a629,0x408ff62d4ff60d82,1 +np.float64,0x3fe5f506e2abea0e,0xbfe16362a4682120,1 +np.float64,0x3fa20c60202418c0,0xc0134e08d82608b6,1 +np.float64,0x7fe03864b22070c8,0x408ff82866d65e9a,1 +np.float64,0x3fe72cf5656e59eb,0xbfddca298969effa,1 +np.float64,0x5c295386b852b,0xc08ffbca90b136c9,1 +np.float64,0x7fd71e5020ae3c9f,0x408ff43f6d58eb7c,1 +np.float64,0x3fd1905a842320b5,0xbffdd8ecd288159c,1 +np.float64,0x3fe6bddb256d7bb6,0xbfdf88fee1a820bb,1 +np.float64,0xe061b967c0c37,0xc08ff18581951561,1 +np.float64,0x3fe534f65cea69ed,0xbfe2fe45fe7d3040,1 +np.float64,0xdc7dae07b8fb6,0xc08ff1b93074ea76,1 +np.float64,0x3fd0425082a084a1,0xbfffa11838b21633,1 +np.float64,0xba723fc974e48,0xc08ff3a8b8d01c58,1 +np.float64,0x3fce42ffc73c8600,0xc000a5062678406e,1 +np.float64,0x3f2e6d3c7e5ce,0xc090001304cfd1c7,1 +np.float64,0x3fd4b2e5f7a965cc,0xbffa0e6e6bae0a68,1 +np.float64,0x3fe6db1d18edb63a,0xbfdf128158ee92d9,1 +np.float64,0x7fe4e5792f29caf1,0x408ffb14d9dbf133,1 +np.float64,0x3fc11cdf992239bf,0xc00739569619cd77,1 +np.float64,0x3fc05ea11220bd42,0xc007bc841b48a890,1 +np.float64,0x4bd592d497ab3,0xc08ffe0ab1c962e2,1 +np.float64,0x280068fc5000e,0xc09002b64955e865,1 +np.float64,0x7fe2f2637065e4c6,0x408ff9f379c1253a,1 +np.float64,0x3fefc38467ff8709,0xbf85e53e64b9a424,1 +np.float64,0x2d78ec5a5af1e,0xc09001f8ea8601e0,1 +np.float64,0x7feeef2b957dde56,0x408fff9bebe995f7,1 +np.float64,0x2639baf44c738,0xc09002f9618d623b,1 +np.float64,0x3fc562964d2ac52d,0xc004a6d76959ef78,1 +np.float64,0x3fe21b071fe4360e,0xbfea4adb2cd96ade,1 +np.float64,0x7fe56aa6802ad54c,0x408ffb5d81d1a898,1 +np.float64,0x4296b452852d7,0xc08fff8ad7fbcbe1,1 +np.float64,0x7fe3fac4ff27f589,0x408ffa9049eec479,1 +np.float64,0x7fe7a83e6caf507c,0x408ffc837f436604,1 +np.float64,0x3fc4ac5b872958b7,0xc0050add72381ac3,1 +np.float64,0x3fd6d697c02dad30,0xbff7c931a3eefb01,1 +np.float64,0x3f61e391c023c724,0xc021ad91e754f94b,1 +np.float64,0x10817f9c21031,0xc09007d20434d7bc,1 +np.float64,0x3fdb9c4c4cb73899,0xbff367d8615c5ece,1 +np.float64,0x3fe26ead6b64dd5b,0xbfe977771def5989,1 +np.float64,0x3fc43ea5c3287d4c,0xc00548c2163ae631,1 +np.float64,0x3fe05bd8bba0b7b1,0xbfeef9ea0db91abc,1 +np.float64,0x3feac78369358f07,0xbfd071e2b0aeab39,1 +np.float64,0x7fe254922ca4a923,0x408ff991bdd4e5d3,1 +np.float64,0x3fe5a2f5842b45eb,0xbfe21135c9a71666,1 +np.float64,0x3fd5daf98c2bb5f3,0xbff8cd24f7c07003,1 +np.float64,0x3fcb2a1384365427,0xc001e40f0d04299a,1 +np.float64,0x3fe073974360e72f,0xbfeeb7183a9930b7,1 +np.float64,0xcf3440819e688,0xc08ff270d3a71001,1 +np.float64,0x3fd35656cda6acae,0xbffba083fba4939d,1 +np.float64,0x7fe6c59b4ded8b36,0x408ffc12ce725425,1 +np.float64,0x3fba896f943512df,0xc00a291cb6947701,1 +np.float64,0x7fe54917e86a922f,0x408ffb4b5e0fb848,1 +np.float64,0x7fed2a3f51ba547e,0x408ffeede945a948,1 +np.float64,0x3fdc72bd5038e57b,0xbff2b73b7e93e209,1 +np.float64,0x7fefdb3f9f3fb67e,0x408ffff2b702a768,1 +np.float64,0x3fb0184430203088,0xc00fee8c1351763c,1 +np.float64,0x7d6c3668fad87,0xc08ff83c195f2cca,1 +np.float64,0x3fd5aa254aab544b,0xbff900f16365991b,1 +np.float64,0x3f963daab02c7b55,0xc0161974495b1b71,1 +np.float64,0x3fa7a9c5982f538b,0xc011bde0f6052a89,1 +np.float64,0xb3a5a74b674b5,0xc08ff4167bc97c81,1 +np.float64,0x7fad0c14503a1828,0x408fdee1f2d56cd7,1 +np.float64,0x43e0e9d887c1e,0xc08fff522837b13b,1 +np.float64,0x3fe513b20aea2764,0xbfe346ea994100e6,1 +np.float64,0x7fe4e10393e9c206,0x408ffb12630f6a06,1 +np.float64,0x68b286e2d1651,0xc08ffa51c0d795d4,1 +np.float64,0x7fe8de453331bc89,0x408ffd17012b75ac,1 +np.float64,0x1b3d77d4367b0,0xc09004edea60aa36,1 +np.float64,0x3fd351cbc326a398,0xbffba5f0f4d5fdba,1 +np.float64,0x3fd264951b24c92a,0xbffcc8636788b9bf,1 +np.float64,0xd2465761a48cb,0xc08ff2455c9c53e5,1 +np.float64,0x7fe46a0ef028d41d,0x408ffacfe32c6f5d,1 +np.float64,0x3fafd8ac4c3fb159,0xc010071bf33195d0,1 +np.float64,0x902aec5d2055e,0xc08ff6a08e28aabc,1 +np.float64,0x3fcea61bb03d4c37,0xc0007f76e509b657,1 +np.float64,0x7fe8d90f9571b21e,0x408ffd1495f952e7,1 +np.float64,0x7fa650c9442ca192,0x408fdbd6ff22fdd8,1 +np.float64,0x3fe8ecfdf171d9fc,0xbfd7115df40e8580,1 +np.float64,0x7fd4e6fe7f29cdfc,0x408ff315b0dae183,1 +np.float64,0x77df4c52efbea,0xc08ff8c1d5c1df33,1 +np.float64,0xe200b0cfc4016,0xc08ff1703cfb8e79,1 +np.float64,0x3fe230ea7e2461d5,0xbfea132d2385160e,1 +np.float64,0x7fd1f7ced723ef9d,0x408ff156bfbf92a4,1 +np.float64,0x3fea762818f4ec50,0xbfd18c12a88e5f79,1 +np.float64,0x7feea4ba7c7d4974,0x408fff8004164054,1 +np.float64,0x833ec605067d9,0xc08ff7b606383841,1 +np.float64,0x7fd0c2d7fea185af,0x408ff0894f3a0cf4,1 +np.float64,0x3fe1d7d61d23afac,0xbfeaf76fee875d3e,1 +np.float64,0x65adecb0cb5be,0xc08ffaa82cb09d68,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-sin.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-sin.csv new file mode 100644 index 0000000000000000000000000000000000000000..03e76ffc2c222772e872908e147d4347effc1626 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-sin.csv @@ -0,0 +1,1370 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0x004b4716,2 +np.float32,0x007b2490,0x007b2490,2 +np.float32,0x007c99fa,0x007c99fa,2 +np.float32,0x00734a0c,0x00734a0c,2 +np.float32,0x0070de24,0x0070de24,2 +np.float32,0x007fffff,0x007fffff,2 +np.float32,0x00000001,0x00000001,2 +## -ve denormals ## +np.float32,0x80495d65,0x80495d65,2 +np.float32,0x806894f6,0x806894f6,2 +np.float32,0x80555a76,0x80555a76,2 +np.float32,0x804e1fb8,0x804e1fb8,2 +np.float32,0x80687de9,0x80687de9,2 +np.float32,0x807fffff,0x807fffff,2 +np.float32,0x80000001,0x80000001,2 +## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ## +np.float32,0x00000000,0x00000000,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0x00800000,0x00800000,2 +np.float32,0x80800000,0x80800000,2 +## 1.00f ## +np.float32,0x3f800000,0x3f576aa4,2 +np.float32,0x3f800001,0x3f576aa6,2 +np.float32,0x3f800002,0x3f576aa7,2 +np.float32,0xc090a8b0,0x3f7b4e48,2 +np.float32,0x41ce3184,0x3f192d43,2 +np.float32,0xc1d85848,0xbf7161cb,2 +np.float32,0x402b8820,0x3ee3f29f,2 +np.float32,0x42b4e454,0x3f1d0151,2 +np.float32,0x42a67a60,0x3f7ffa4c,2 +np.float32,0x41d92388,0x3f67beef,2 +np.float32,0x422dd66c,0xbeffb0c1,2 +np.float32,0xc28f5be6,0xbf0bae79,2 +np.float32,0x41ab2674,0x3f0ffe2b,2 +np.float32,0x3f490fdb,0x3f3504f3,2 +np.float32,0xbf490fdb,0xbf3504f3,2 +np.float32,0x3fc90fdb,0x3f800000,2 +np.float32,0xbfc90fdb,0xbf800000,2 +np.float32,0x40490fdb,0xb3bbbd2e,2 +np.float32,0xc0490fdb,0x33bbbd2e,2 +np.float32,0x3fc90fdb,0x3f800000,2 +np.float32,0xbfc90fdb,0xbf800000,2 +np.float32,0x40490fdb,0xb3bbbd2e,2 +np.float32,0xc0490fdb,0x33bbbd2e,2 +np.float32,0x40c90fdb,0x343bbd2e,2 +np.float32,0xc0c90fdb,0xb43bbd2e,2 +np.float32,0x4016cbe4,0x3f3504f3,2 +np.float32,0xc016cbe4,0xbf3504f3,2 +np.float32,0x4096cbe4,0xbf800000,2 +np.float32,0xc096cbe4,0x3f800000,2 +np.float32,0x4116cbe4,0xb2ccde2e,2 +np.float32,0xc116cbe4,0x32ccde2e,2 +np.float32,0x40490fdb,0xb3bbbd2e,2 +np.float32,0xc0490fdb,0x33bbbd2e,2 +np.float32,0x40c90fdb,0x343bbd2e,2 +np.float32,0xc0c90fdb,0xb43bbd2e,2 +np.float32,0x41490fdb,0x34bbbd2e,2 +np.float32,0xc1490fdb,0xb4bbbd2e,2 +np.float32,0x407b53d2,0xbf3504f5,2 +np.float32,0xc07b53d2,0x3f3504f5,2 +np.float32,0x40fb53d2,0x3f800000,2 +np.float32,0xc0fb53d2,0xbf800000,2 +np.float32,0x417b53d2,0xb535563d,2 +np.float32,0xc17b53d2,0x3535563d,2 +np.float32,0x4096cbe4,0xbf800000,2 +np.float32,0xc096cbe4,0x3f800000,2 +np.float32,0x4116cbe4,0xb2ccde2e,2 +np.float32,0xc116cbe4,0x32ccde2e,2 +np.float32,0x4196cbe4,0x334cde2e,2 +np.float32,0xc196cbe4,0xb34cde2e,2 +np.float32,0x40afede0,0xbf3504ef,2 +np.float32,0xc0afede0,0x3f3504ef,2 +np.float32,0x412fede0,0xbf800000,2 +np.float32,0xc12fede0,0x3f800000,2 +np.float32,0x41afede0,0xb5b222c4,2 +np.float32,0xc1afede0,0x35b222c4,2 +np.float32,0x40c90fdb,0x343bbd2e,2 +np.float32,0xc0c90fdb,0xb43bbd2e,2 +np.float32,0x41490fdb,0x34bbbd2e,2 +np.float32,0xc1490fdb,0xb4bbbd2e,2 +np.float32,0x41c90fdb,0x353bbd2e,2 +np.float32,0xc1c90fdb,0xb53bbd2e,2 +np.float32,0x40e231d6,0x3f3504f3,2 +np.float32,0xc0e231d6,0xbf3504f3,2 +np.float32,0x416231d6,0x3f800000,2 +np.float32,0xc16231d6,0xbf800000,2 +np.float32,0x41e231d6,0xb399a6a2,2 +np.float32,0xc1e231d6,0x3399a6a2,2 +np.float32,0x40fb53d2,0x3f800000,2 +np.float32,0xc0fb53d2,0xbf800000,2 +np.float32,0x417b53d2,0xb535563d,2 +np.float32,0xc17b53d2,0x3535563d,2 +np.float32,0x41fb53d2,0x35b5563d,2 +np.float32,0xc1fb53d2,0xb5b5563d,2 +np.float32,0x410a3ae7,0x3f3504eb,2 +np.float32,0xc10a3ae7,0xbf3504eb,2 +np.float32,0x418a3ae7,0xbf800000,2 +np.float32,0xc18a3ae7,0x3f800000,2 +np.float32,0x420a3ae7,0xb6308908,2 +np.float32,0xc20a3ae7,0x36308908,2 +np.float32,0x4116cbe4,0xb2ccde2e,2 +np.float32,0xc116cbe4,0x32ccde2e,2 +np.float32,0x4196cbe4,0x334cde2e,2 +np.float32,0xc196cbe4,0xb34cde2e,2 +np.float32,0x4216cbe4,0x33ccde2e,2 +np.float32,0xc216cbe4,0xb3ccde2e,2 +np.float32,0x41235ce2,0xbf3504f7,2 +np.float32,0xc1235ce2,0x3f3504f7,2 +np.float32,0x41a35ce2,0x3f800000,2 +np.float32,0xc1a35ce2,0xbf800000,2 +np.float32,0x42235ce2,0xb5b889b6,2 +np.float32,0xc2235ce2,0x35b889b6,2 +np.float32,0x412fede0,0xbf800000,2 +np.float32,0xc12fede0,0x3f800000,2 +np.float32,0x41afede0,0xb5b222c4,2 +np.float32,0xc1afede0,0x35b222c4,2 +np.float32,0x422fede0,0x363222c4,2 +np.float32,0xc22fede0,0xb63222c4,2 +np.float32,0x413c7edd,0xbf3504f3,2 +np.float32,0xc13c7edd,0x3f3504f3,2 +np.float32,0x41bc7edd,0xbf800000,2 +np.float32,0xc1bc7edd,0x3f800000,2 +np.float32,0x423c7edd,0xb4000add,2 +np.float32,0xc23c7edd,0x34000add,2 +np.float32,0x41490fdb,0x34bbbd2e,2 +np.float32,0xc1490fdb,0xb4bbbd2e,2 +np.float32,0x41c90fdb,0x353bbd2e,2 +np.float32,0xc1c90fdb,0xb53bbd2e,2 +np.float32,0x42490fdb,0x35bbbd2e,2 +np.float32,0xc2490fdb,0xb5bbbd2e,2 +np.float32,0x4155a0d9,0x3f3504fb,2 +np.float32,0xc155a0d9,0xbf3504fb,2 +np.float32,0x41d5a0d9,0x3f800000,2 +np.float32,0xc1d5a0d9,0xbf800000,2 +np.float32,0x4255a0d9,0xb633bc81,2 +np.float32,0xc255a0d9,0x3633bc81,2 +np.float32,0x416231d6,0x3f800000,2 +np.float32,0xc16231d6,0xbf800000,2 +np.float32,0x41e231d6,0xb399a6a2,2 +np.float32,0xc1e231d6,0x3399a6a2,2 +np.float32,0x426231d6,0x3419a6a2,2 +np.float32,0xc26231d6,0xb419a6a2,2 +np.float32,0x416ec2d4,0x3f3504ef,2 +np.float32,0xc16ec2d4,0xbf3504ef,2 +np.float32,0x41eec2d4,0xbf800000,2 +np.float32,0xc1eec2d4,0x3f800000,2 +np.float32,0x426ec2d4,0xb5bef0a7,2 +np.float32,0xc26ec2d4,0x35bef0a7,2 +np.float32,0x417b53d2,0xb535563d,2 +np.float32,0xc17b53d2,0x3535563d,2 +np.float32,0x41fb53d2,0x35b5563d,2 +np.float32,0xc1fb53d2,0xb5b5563d,2 +np.float32,0x427b53d2,0x3635563d,2 +np.float32,0xc27b53d2,0xb635563d,2 +np.float32,0x4183f268,0xbf3504ff,2 +np.float32,0xc183f268,0x3f3504ff,2 +np.float32,0x4203f268,0x3f800000,2 +np.float32,0xc203f268,0xbf800000,2 +np.float32,0x4283f268,0xb6859a13,2 +np.float32,0xc283f268,0x36859a13,2 +np.float32,0x418a3ae7,0xbf800000,2 +np.float32,0xc18a3ae7,0x3f800000,2 +np.float32,0x420a3ae7,0xb6308908,2 +np.float32,0xc20a3ae7,0x36308908,2 +np.float32,0x428a3ae7,0x36b08908,2 +np.float32,0xc28a3ae7,0xb6b08908,2 +np.float32,0x41908365,0xbf3504f6,2 +np.float32,0xc1908365,0x3f3504f6,2 +np.float32,0x42108365,0xbf800000,2 +np.float32,0xc2108365,0x3f800000,2 +np.float32,0x42908365,0x3592200d,2 +np.float32,0xc2908365,0xb592200d,2 +np.float32,0x4196cbe4,0x334cde2e,2 +np.float32,0xc196cbe4,0xb34cde2e,2 +np.float32,0x4216cbe4,0x33ccde2e,2 +np.float32,0xc216cbe4,0xb3ccde2e,2 +np.float32,0x4296cbe4,0x344cde2e,2 +np.float32,0xc296cbe4,0xb44cde2e,2 +np.float32,0x419d1463,0x3f3504f8,2 +np.float32,0xc19d1463,0xbf3504f8,2 +np.float32,0x421d1463,0x3f800000,2 +np.float32,0xc21d1463,0xbf800000,2 +np.float32,0x429d1463,0xb5c55799,2 +np.float32,0xc29d1463,0x35c55799,2 +np.float32,0x41a35ce2,0x3f800000,2 +np.float32,0xc1a35ce2,0xbf800000,2 +np.float32,0x42235ce2,0xb5b889b6,2 +np.float32,0xc2235ce2,0x35b889b6,2 +np.float32,0x42a35ce2,0x363889b6,2 +np.float32,0xc2a35ce2,0xb63889b6,2 +np.float32,0x41a9a561,0x3f3504e7,2 +np.float32,0xc1a9a561,0xbf3504e7,2 +np.float32,0x4229a561,0xbf800000,2 +np.float32,0xc229a561,0x3f800000,2 +np.float32,0x42a9a561,0xb68733d0,2 +np.float32,0xc2a9a561,0x368733d0,2 +np.float32,0x41afede0,0xb5b222c4,2 +np.float32,0xc1afede0,0x35b222c4,2 +np.float32,0x422fede0,0x363222c4,2 +np.float32,0xc22fede0,0xb63222c4,2 +np.float32,0x42afede0,0x36b222c4,2 +np.float32,0xc2afede0,0xb6b222c4,2 +np.float32,0x41b6365e,0xbf3504f0,2 +np.float32,0xc1b6365e,0x3f3504f0,2 +np.float32,0x4236365e,0x3f800000,2 +np.float32,0xc236365e,0xbf800000,2 +np.float32,0x42b6365e,0x358bb91c,2 +np.float32,0xc2b6365e,0xb58bb91c,2 +np.float32,0x41bc7edd,0xbf800000,2 +np.float32,0xc1bc7edd,0x3f800000,2 +np.float32,0x423c7edd,0xb4000add,2 +np.float32,0xc23c7edd,0x34000add,2 +np.float32,0x42bc7edd,0x34800add,2 +np.float32,0xc2bc7edd,0xb4800add,2 +np.float32,0x41c2c75c,0xbf3504ef,2 +np.float32,0xc1c2c75c,0x3f3504ef,2 +np.float32,0x4242c75c,0xbf800000,2 +np.float32,0xc242c75c,0x3f800000,2 +np.float32,0x42c2c75c,0xb5cbbe8a,2 +np.float32,0xc2c2c75c,0x35cbbe8a,2 +np.float32,0x41c90fdb,0x353bbd2e,2 +np.float32,0xc1c90fdb,0xb53bbd2e,2 +np.float32,0x42490fdb,0x35bbbd2e,2 +np.float32,0xc2490fdb,0xb5bbbd2e,2 +np.float32,0x42c90fdb,0x363bbd2e,2 +np.float32,0xc2c90fdb,0xb63bbd2e,2 +np.float32,0x41cf585a,0x3f3504ff,2 +np.float32,0xc1cf585a,0xbf3504ff,2 +np.float32,0x424f585a,0x3f800000,2 +np.float32,0xc24f585a,0xbf800000,2 +np.float32,0x42cf585a,0xb688cd8c,2 +np.float32,0xc2cf585a,0x3688cd8c,2 +np.float32,0x41d5a0d9,0x3f800000,2 +np.float32,0xc1d5a0d9,0xbf800000,2 +np.float32,0x4255a0d9,0xb633bc81,2 +np.float32,0xc255a0d9,0x3633bc81,2 +np.float32,0x42d5a0d9,0x36b3bc81,2 +np.float32,0xc2d5a0d9,0xb6b3bc81,2 +np.float32,0x41dbe958,0x3f3504e0,2 +np.float32,0xc1dbe958,0xbf3504e0,2 +np.float32,0x425be958,0xbf800000,2 +np.float32,0xc25be958,0x3f800000,2 +np.float32,0x42dbe958,0xb6deab75,2 +np.float32,0xc2dbe958,0x36deab75,2 +np.float32,0x41e231d6,0xb399a6a2,2 +np.float32,0xc1e231d6,0x3399a6a2,2 +np.float32,0x426231d6,0x3419a6a2,2 +np.float32,0xc26231d6,0xb419a6a2,2 +np.float32,0x42e231d6,0x3499a6a2,2 +np.float32,0xc2e231d6,0xb499a6a2,2 +np.float32,0x41e87a55,0xbf3504f8,2 +np.float32,0xc1e87a55,0x3f3504f8,2 +np.float32,0x42687a55,0x3f800000,2 +np.float32,0xc2687a55,0xbf800000,2 +np.float32,0x42e87a55,0xb5d2257b,2 +np.float32,0xc2e87a55,0x35d2257b,2 +np.float32,0x41eec2d4,0xbf800000,2 +np.float32,0xc1eec2d4,0x3f800000,2 +np.float32,0x426ec2d4,0xb5bef0a7,2 +np.float32,0xc26ec2d4,0x35bef0a7,2 +np.float32,0x42eec2d4,0x363ef0a7,2 +np.float32,0xc2eec2d4,0xb63ef0a7,2 +np.float32,0x41f50b53,0xbf3504e7,2 +np.float32,0xc1f50b53,0x3f3504e7,2 +np.float32,0x42750b53,0xbf800000,2 +np.float32,0xc2750b53,0x3f800000,2 +np.float32,0x42f50b53,0xb68a6748,2 +np.float32,0xc2f50b53,0x368a6748,2 +np.float32,0x41fb53d2,0x35b5563d,2 +np.float32,0xc1fb53d2,0xb5b5563d,2 +np.float32,0x427b53d2,0x3635563d,2 +np.float32,0xc27b53d2,0xb635563d,2 +np.float32,0x42fb53d2,0x36b5563d,2 +np.float32,0xc2fb53d2,0xb6b5563d,2 +np.float32,0x4200ce28,0x3f3504f0,2 +np.float32,0xc200ce28,0xbf3504f0,2 +np.float32,0x4280ce28,0x3f800000,2 +np.float32,0xc280ce28,0xbf800000,2 +np.float32,0x4300ce28,0x357dd672,2 +np.float32,0xc300ce28,0xb57dd672,2 +np.float32,0x4203f268,0x3f800000,2 +np.float32,0xc203f268,0xbf800000,2 +np.float32,0x4283f268,0xb6859a13,2 +np.float32,0xc283f268,0x36859a13,2 +np.float32,0x4303f268,0x37059a13,2 +np.float32,0xc303f268,0xb7059a13,2 +np.float32,0x420716a7,0x3f3504ee,2 +np.float32,0xc20716a7,0xbf3504ee,2 +np.float32,0x428716a7,0xbf800000,2 +np.float32,0xc28716a7,0x3f800000,2 +np.float32,0x430716a7,0xb5d88c6d,2 +np.float32,0xc30716a7,0x35d88c6d,2 +np.float32,0x420a3ae7,0xb6308908,2 +np.float32,0xc20a3ae7,0x36308908,2 +np.float32,0x428a3ae7,0x36b08908,2 +np.float32,0xc28a3ae7,0xb6b08908,2 +np.float32,0x430a3ae7,0x37308908,2 +np.float32,0xc30a3ae7,0xb7308908,2 +np.float32,0x420d5f26,0xbf350500,2 +np.float32,0xc20d5f26,0x3f350500,2 +np.float32,0x428d5f26,0x3f800000,2 +np.float32,0xc28d5f26,0xbf800000,2 +np.float32,0x430d5f26,0xb68c0105,2 +np.float32,0xc30d5f26,0x368c0105,2 +np.float32,0x42108365,0xbf800000,2 +np.float32,0xc2108365,0x3f800000,2 +np.float32,0x42908365,0x3592200d,2 +np.float32,0xc2908365,0xb592200d,2 +np.float32,0x43108365,0xb612200d,2 +np.float32,0xc3108365,0x3612200d,2 +np.float32,0x4213a7a5,0xbf3504df,2 +np.float32,0xc213a7a5,0x3f3504df,2 +np.float32,0x4293a7a5,0xbf800000,2 +np.float32,0xc293a7a5,0x3f800000,2 +np.float32,0x4313a7a5,0xb6e1deee,2 +np.float32,0xc313a7a5,0x36e1deee,2 +np.float32,0x4216cbe4,0x33ccde2e,2 +np.float32,0xc216cbe4,0xb3ccde2e,2 +np.float32,0x4296cbe4,0x344cde2e,2 +np.float32,0xc296cbe4,0xb44cde2e,2 +np.float32,0x4316cbe4,0x34ccde2e,2 +np.float32,0xc316cbe4,0xb4ccde2e,2 +np.float32,0x4219f024,0x3f35050f,2 +np.float32,0xc219f024,0xbf35050f,2 +np.float32,0x4299f024,0x3f800000,2 +np.float32,0xc299f024,0xbf800000,2 +np.float32,0x4319f024,0xb71bde6c,2 +np.float32,0xc319f024,0x371bde6c,2 +np.float32,0x421d1463,0x3f800000,2 +np.float32,0xc21d1463,0xbf800000,2 +np.float32,0x429d1463,0xb5c55799,2 +np.float32,0xc29d1463,0x35c55799,2 +np.float32,0x431d1463,0x36455799,2 +np.float32,0xc31d1463,0xb6455799,2 +np.float32,0x422038a3,0x3f3504d0,2 +np.float32,0xc22038a3,0xbf3504d0,2 +np.float32,0x42a038a3,0xbf800000,2 +np.float32,0xc2a038a3,0x3f800000,2 +np.float32,0x432038a3,0xb746cd61,2 +np.float32,0xc32038a3,0x3746cd61,2 +np.float32,0x42235ce2,0xb5b889b6,2 +np.float32,0xc2235ce2,0x35b889b6,2 +np.float32,0x42a35ce2,0x363889b6,2 +np.float32,0xc2a35ce2,0xb63889b6,2 +np.float32,0x43235ce2,0x36b889b6,2 +np.float32,0xc3235ce2,0xb6b889b6,2 +np.float32,0x42268121,0xbf3504f1,2 +np.float32,0xc2268121,0x3f3504f1,2 +np.float32,0x42a68121,0x3f800000,2 +np.float32,0xc2a68121,0xbf800000,2 +np.float32,0x43268121,0x35643aac,2 +np.float32,0xc3268121,0xb5643aac,2 +np.float32,0x4229a561,0xbf800000,2 +np.float32,0xc229a561,0x3f800000,2 +np.float32,0x42a9a561,0xb68733d0,2 +np.float32,0xc2a9a561,0x368733d0,2 +np.float32,0x4329a561,0x370733d0,2 +np.float32,0xc329a561,0xb70733d0,2 +np.float32,0x422cc9a0,0xbf3504ee,2 +np.float32,0xc22cc9a0,0x3f3504ee,2 +np.float32,0x42acc9a0,0xbf800000,2 +np.float32,0xc2acc9a0,0x3f800000,2 +np.float32,0x432cc9a0,0xb5e55a50,2 +np.float32,0xc32cc9a0,0x35e55a50,2 +np.float32,0x422fede0,0x363222c4,2 +np.float32,0xc22fede0,0xb63222c4,2 +np.float32,0x42afede0,0x36b222c4,2 +np.float32,0xc2afede0,0xb6b222c4,2 +np.float32,0x432fede0,0x373222c4,2 +np.float32,0xc32fede0,0xb73222c4,2 +np.float32,0x4233121f,0x3f350500,2 +np.float32,0xc233121f,0xbf350500,2 +np.float32,0x42b3121f,0x3f800000,2 +np.float32,0xc2b3121f,0xbf800000,2 +np.float32,0x4333121f,0xb68f347d,2 +np.float32,0xc333121f,0x368f347d,2 +np.float32,0x4236365e,0x3f800000,2 +np.float32,0xc236365e,0xbf800000,2 +np.float32,0x42b6365e,0x358bb91c,2 +np.float32,0xc2b6365e,0xb58bb91c,2 +np.float32,0x4336365e,0xb60bb91c,2 +np.float32,0xc336365e,0x360bb91c,2 +np.float32,0x42395a9e,0x3f3504df,2 +np.float32,0xc2395a9e,0xbf3504df,2 +np.float32,0x42b95a9e,0xbf800000,2 +np.float32,0xc2b95a9e,0x3f800000,2 +np.float32,0x43395a9e,0xb6e51267,2 +np.float32,0xc3395a9e,0x36e51267,2 +np.float32,0x423c7edd,0xb4000add,2 +np.float32,0xc23c7edd,0x34000add,2 +np.float32,0x42bc7edd,0x34800add,2 +np.float32,0xc2bc7edd,0xb4800add,2 +np.float32,0x433c7edd,0x35000add,2 +np.float32,0xc33c7edd,0xb5000add,2 +np.float32,0x423fa31d,0xbf35050f,2 +np.float32,0xc23fa31d,0x3f35050f,2 +np.float32,0x42bfa31d,0x3f800000,2 +np.float32,0xc2bfa31d,0xbf800000,2 +np.float32,0x433fa31d,0xb71d7828,2 +np.float32,0xc33fa31d,0x371d7828,2 +np.float32,0x4242c75c,0xbf800000,2 +np.float32,0xc242c75c,0x3f800000,2 +np.float32,0x42c2c75c,0xb5cbbe8a,2 +np.float32,0xc2c2c75c,0x35cbbe8a,2 +np.float32,0x4342c75c,0x364bbe8a,2 +np.float32,0xc342c75c,0xb64bbe8a,2 +np.float32,0x4245eb9c,0xbf3504d0,2 +np.float32,0xc245eb9c,0x3f3504d0,2 +np.float32,0x42c5eb9c,0xbf800000,2 +np.float32,0xc2c5eb9c,0x3f800000,2 +np.float32,0x4345eb9c,0xb748671d,2 +np.float32,0xc345eb9c,0x3748671d,2 +np.float32,0x42490fdb,0x35bbbd2e,2 +np.float32,0xc2490fdb,0xb5bbbd2e,2 +np.float32,0x42c90fdb,0x363bbd2e,2 +np.float32,0xc2c90fdb,0xb63bbd2e,2 +np.float32,0x43490fdb,0x36bbbd2e,2 +np.float32,0xc3490fdb,0xb6bbbd2e,2 +np.float32,0x424c341a,0x3f3504f1,2 +np.float32,0xc24c341a,0xbf3504f1,2 +np.float32,0x42cc341a,0x3f800000,2 +np.float32,0xc2cc341a,0xbf800000,2 +np.float32,0x434c341a,0x354a9ee6,2 +np.float32,0xc34c341a,0xb54a9ee6,2 +np.float32,0x424f585a,0x3f800000,2 +np.float32,0xc24f585a,0xbf800000,2 +np.float32,0x42cf585a,0xb688cd8c,2 +np.float32,0xc2cf585a,0x3688cd8c,2 +np.float32,0x434f585a,0x3708cd8c,2 +np.float32,0xc34f585a,0xb708cd8c,2 +np.float32,0x42527c99,0x3f3504ee,2 +np.float32,0xc2527c99,0xbf3504ee,2 +np.float32,0x42d27c99,0xbf800000,2 +np.float32,0xc2d27c99,0x3f800000,2 +np.float32,0x43527c99,0xb5f22833,2 +np.float32,0xc3527c99,0x35f22833,2 +np.float32,0x4255a0d9,0xb633bc81,2 +np.float32,0xc255a0d9,0x3633bc81,2 +np.float32,0x42d5a0d9,0x36b3bc81,2 +np.float32,0xc2d5a0d9,0xb6b3bc81,2 +np.float32,0x4355a0d9,0x3733bc81,2 +np.float32,0xc355a0d9,0xb733bc81,2 +np.float32,0x4258c518,0xbf350500,2 +np.float32,0xc258c518,0x3f350500,2 +np.float32,0x42d8c518,0x3f800000,2 +np.float32,0xc2d8c518,0xbf800000,2 +np.float32,0x4358c518,0xb69267f6,2 +np.float32,0xc358c518,0x369267f6,2 +np.float32,0x425be958,0xbf800000,2 +np.float32,0xc25be958,0x3f800000,2 +np.float32,0x42dbe958,0xb6deab75,2 +np.float32,0xc2dbe958,0x36deab75,2 +np.float32,0x435be958,0x375eab75,2 +np.float32,0xc35be958,0xb75eab75,2 +np.float32,0x425f0d97,0xbf3504df,2 +np.float32,0xc25f0d97,0x3f3504df,2 +np.float32,0x42df0d97,0xbf800000,2 +np.float32,0xc2df0d97,0x3f800000,2 +np.float32,0x435f0d97,0xb6e845e0,2 +np.float32,0xc35f0d97,0x36e845e0,2 +np.float32,0x426231d6,0x3419a6a2,2 +np.float32,0xc26231d6,0xb419a6a2,2 +np.float32,0x42e231d6,0x3499a6a2,2 +np.float32,0xc2e231d6,0xb499a6a2,2 +np.float32,0x436231d6,0x3519a6a2,2 +np.float32,0xc36231d6,0xb519a6a2,2 +np.float32,0x42655616,0x3f35050f,2 +np.float32,0xc2655616,0xbf35050f,2 +np.float32,0x42e55616,0x3f800000,2 +np.float32,0xc2e55616,0xbf800000,2 +np.float32,0x43655616,0xb71f11e5,2 +np.float32,0xc3655616,0x371f11e5,2 +np.float32,0x42687a55,0x3f800000,2 +np.float32,0xc2687a55,0xbf800000,2 +np.float32,0x42e87a55,0xb5d2257b,2 +np.float32,0xc2e87a55,0x35d2257b,2 +np.float32,0x43687a55,0x3652257b,2 +np.float32,0xc3687a55,0xb652257b,2 +np.float32,0x426b9e95,0x3f3504cf,2 +np.float32,0xc26b9e95,0xbf3504cf,2 +np.float32,0x42eb9e95,0xbf800000,2 +np.float32,0xc2eb9e95,0x3f800000,2 +np.float32,0x436b9e95,0xb74a00d9,2 +np.float32,0xc36b9e95,0x374a00d9,2 +np.float32,0x426ec2d4,0xb5bef0a7,2 +np.float32,0xc26ec2d4,0x35bef0a7,2 +np.float32,0x42eec2d4,0x363ef0a7,2 +np.float32,0xc2eec2d4,0xb63ef0a7,2 +np.float32,0x436ec2d4,0x36bef0a7,2 +np.float32,0xc36ec2d4,0xb6bef0a7,2 +np.float32,0x4271e713,0xbf3504f1,2 +np.float32,0xc271e713,0x3f3504f1,2 +np.float32,0x42f1e713,0x3f800000,2 +np.float32,0xc2f1e713,0xbf800000,2 +np.float32,0x4371e713,0x35310321,2 +np.float32,0xc371e713,0xb5310321,2 +np.float32,0x42750b53,0xbf800000,2 +np.float32,0xc2750b53,0x3f800000,2 +np.float32,0x42f50b53,0xb68a6748,2 +np.float32,0xc2f50b53,0x368a6748,2 +np.float32,0x43750b53,0x370a6748,2 +np.float32,0xc3750b53,0xb70a6748,2 +np.float32,0x42782f92,0xbf3504ee,2 +np.float32,0xc2782f92,0x3f3504ee,2 +np.float32,0x42f82f92,0xbf800000,2 +np.float32,0xc2f82f92,0x3f800000,2 +np.float32,0x43782f92,0xb5fef616,2 +np.float32,0xc3782f92,0x35fef616,2 +np.float32,0x427b53d2,0x3635563d,2 +np.float32,0xc27b53d2,0xb635563d,2 +np.float32,0x42fb53d2,0x36b5563d,2 +np.float32,0xc2fb53d2,0xb6b5563d,2 +np.float32,0x437b53d2,0x3735563d,2 +np.float32,0xc37b53d2,0xb735563d,2 +np.float32,0x427e7811,0x3f350500,2 +np.float32,0xc27e7811,0xbf350500,2 +np.float32,0x42fe7811,0x3f800000,2 +np.float32,0xc2fe7811,0xbf800000,2 +np.float32,0x437e7811,0xb6959b6f,2 +np.float32,0xc37e7811,0x36959b6f,2 +np.float32,0x4280ce28,0x3f800000,2 +np.float32,0xc280ce28,0xbf800000,2 +np.float32,0x4300ce28,0x357dd672,2 +np.float32,0xc300ce28,0xb57dd672,2 +np.float32,0x4380ce28,0xb5fdd672,2 +np.float32,0xc380ce28,0x35fdd672,2 +np.float32,0x42826048,0x3f3504de,2 +np.float32,0xc2826048,0xbf3504de,2 +np.float32,0x43026048,0xbf800000,2 +np.float32,0xc3026048,0x3f800000,2 +np.float32,0x43826048,0xb6eb7958,2 +np.float32,0xc3826048,0x36eb7958,2 +np.float32,0x4283f268,0xb6859a13,2 +np.float32,0xc283f268,0x36859a13,2 +np.float32,0x4303f268,0x37059a13,2 +np.float32,0xc303f268,0xb7059a13,2 +np.float32,0x4383f268,0x37859a13,2 +np.float32,0xc383f268,0xb7859a13,2 +np.float32,0x42858487,0xbf3504e2,2 +np.float32,0xc2858487,0x3f3504e2,2 +np.float32,0x43058487,0x3f800000,2 +np.float32,0xc3058487,0xbf800000,2 +np.float32,0x43858487,0x36bea8be,2 +np.float32,0xc3858487,0xb6bea8be,2 +np.float32,0x428716a7,0xbf800000,2 +np.float32,0xc28716a7,0x3f800000,2 +np.float32,0x430716a7,0xb5d88c6d,2 +np.float32,0xc30716a7,0x35d88c6d,2 +np.float32,0x438716a7,0x36588c6d,2 +np.float32,0xc38716a7,0xb6588c6d,2 +np.float32,0x4288a8c7,0xbf3504cf,2 +np.float32,0xc288a8c7,0x3f3504cf,2 +np.float32,0x4308a8c7,0xbf800000,2 +np.float32,0xc308a8c7,0x3f800000,2 +np.float32,0x4388a8c7,0xb74b9a96,2 +np.float32,0xc388a8c7,0x374b9a96,2 +np.float32,0x428a3ae7,0x36b08908,2 +np.float32,0xc28a3ae7,0xb6b08908,2 +np.float32,0x430a3ae7,0x37308908,2 +np.float32,0xc30a3ae7,0xb7308908,2 +np.float32,0x438a3ae7,0x37b08908,2 +np.float32,0xc38a3ae7,0xb7b08908,2 +np.float32,0x428bcd06,0x3f3504f2,2 +np.float32,0xc28bcd06,0xbf3504f2,2 +np.float32,0x430bcd06,0x3f800000,2 +np.float32,0xc30bcd06,0xbf800000,2 +np.float32,0x438bcd06,0x3517675b,2 +np.float32,0xc38bcd06,0xb517675b,2 +np.float32,0x428d5f26,0x3f800000,2 +np.float32,0xc28d5f26,0xbf800000,2 +np.float32,0x430d5f26,0xb68c0105,2 +np.float32,0xc30d5f26,0x368c0105,2 +np.float32,0x438d5f26,0x370c0105,2 +np.float32,0xc38d5f26,0xb70c0105,2 +np.float32,0x428ef146,0x3f3504c0,2 +np.float32,0xc28ef146,0xbf3504c0,2 +np.float32,0x430ef146,0xbf800000,2 +np.float32,0xc30ef146,0x3f800000,2 +np.float32,0x438ef146,0xb790bc40,2 +np.float32,0xc38ef146,0x3790bc40,2 +np.float32,0x42908365,0x3592200d,2 +np.float32,0xc2908365,0xb592200d,2 +np.float32,0x43108365,0xb612200d,2 +np.float32,0xc3108365,0x3612200d,2 +np.float32,0x43908365,0xb692200d,2 +np.float32,0xc3908365,0x3692200d,2 +np.float32,0x42921585,0xbf350501,2 +np.float32,0xc2921585,0x3f350501,2 +np.float32,0x43121585,0x3f800000,2 +np.float32,0xc3121585,0xbf800000,2 +np.float32,0x43921585,0xb698cee8,2 +np.float32,0xc3921585,0x3698cee8,2 +np.float32,0x4293a7a5,0xbf800000,2 +np.float32,0xc293a7a5,0x3f800000,2 +np.float32,0x4313a7a5,0xb6e1deee,2 +np.float32,0xc313a7a5,0x36e1deee,2 +np.float32,0x4393a7a5,0x3761deee,2 +np.float32,0xc393a7a5,0xb761deee,2 +np.float32,0x429539c5,0xbf3504b1,2 +np.float32,0xc29539c5,0x3f3504b1,2 +np.float32,0x431539c5,0xbf800000,2 +np.float32,0xc31539c5,0x3f800000,2 +np.float32,0x439539c5,0xb7bbab34,2 +np.float32,0xc39539c5,0x37bbab34,2 +np.float32,0x4296cbe4,0x344cde2e,2 +np.float32,0xc296cbe4,0xb44cde2e,2 +np.float32,0x4316cbe4,0x34ccde2e,2 +np.float32,0xc316cbe4,0xb4ccde2e,2 +np.float32,0x4396cbe4,0x354cde2e,2 +np.float32,0xc396cbe4,0xb54cde2e,2 +np.float32,0x42985e04,0x3f350510,2 +np.float32,0xc2985e04,0xbf350510,2 +np.float32,0x43185e04,0x3f800000,2 +np.float32,0xc3185e04,0xbf800000,2 +np.float32,0x43985e04,0xb722455d,2 +np.float32,0xc3985e04,0x3722455d,2 +np.float32,0x4299f024,0x3f800000,2 +np.float32,0xc299f024,0xbf800000,2 +np.float32,0x4319f024,0xb71bde6c,2 +np.float32,0xc319f024,0x371bde6c,2 +np.float32,0x4399f024,0x379bde6c,2 +np.float32,0xc399f024,0xb79bde6c,2 +np.float32,0x429b8243,0x3f3504fc,2 +np.float32,0xc29b8243,0xbf3504fc,2 +np.float32,0x431b8243,0xbf800000,2 +np.float32,0xc31b8243,0x3f800000,2 +np.float32,0x439b8243,0x364b2eb8,2 +np.float32,0xc39b8243,0xb64b2eb8,2 +np.float32,0x435b2047,0xbf350525,2 +np.float32,0x42a038a2,0xbf800000,2 +np.float32,0x432038a2,0x3664ca7e,2 +np.float32,0x4345eb9b,0x365e638c,2 +np.float32,0x42c5eb9b,0xbf800000,2 +np.float32,0x42eb9e94,0xbf800000,2 +np.float32,0x4350ea79,0x3f800000,2 +np.float32,0x42dbe957,0x3585522a,2 +np.float32,0x425be957,0xbf800000,2 +np.float32,0x435be957,0xb605522a,2 +np.float32,0x476362a2,0xbd7ff911,2 +np.float32,0x464c99a4,0x3e7f4d41,2 +np.float32,0x4471f73d,0x3e7fe1b0,2 +np.float32,0x445a6752,0x3e7ef367,2 +np.float32,0x474fa400,0x3e7f9fcd,2 +np.float32,0x45c1e72f,0xbe7fc7af,2 +np.float32,0x4558c91d,0x3e7e9f31,2 +np.float32,0x43784f94,0xbdff6654,2 +np.float32,0x466e8500,0xbe7ea0a3,2 +np.float32,0x468e1c25,0x3e7e22fb,2 +np.float32,0x44ea6cfc,0x3dff70c3,2 +np.float32,0x4605126c,0x3e7f89ef,2 +np.float32,0x4788b3c6,0xbb87d853,2 +np.float32,0x4531b042,0x3dffd163,2 +np.float32,0x43f1f71d,0x3dfff387,2 +np.float32,0x462c3fa5,0xbd7fe13d,2 +np.float32,0x441c5354,0xbdff76b4,2 +np.float32,0x44908b69,0x3e7dcf0d,2 +np.float32,0x478813ad,0xbe7e9d80,2 +np.float32,0x441c4351,0x3dff937b,2 +np.float64,0x1,0x1,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0x7fefffffffffffff,0x3f7452fc98b34e97,1 +np.float64,0xffefffffffffffff,0xbf7452fc98b34e97,1 +np.float64,0x7ff0000000000000,0xfff8000000000000,1 +np.float64,0xfff0000000000000,0xfff8000000000000,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xbfda51b226b4a364,0xbfd9956328ff876c,1 +np.float64,0xbfb4a65aee294cb8,0xbfb4a09fd744f8a5,1 +np.float64,0xbfd73b914fae7722,0xbfd6b9cce55af379,1 +np.float64,0xbfd90c12b4b21826,0xbfd869a3867b51c2,1 +np.float64,0x3fe649bb3d6c9376,0x3fe48778d9b48a21,1 +np.float64,0xbfd5944532ab288a,0xbfd52c30e1951b42,1 +np.float64,0x3fb150c45222a190,0x3fb14d633eb8275d,1 +np.float64,0x3fe4a6ffa9e94e00,0x3fe33f8a95c33299,1 +np.float64,0x3fe8d2157171a42a,0x3fe667d904ac95a6,1 +np.float64,0xbfa889f52c3113f0,0xbfa8878d90a23fa5,1 +np.float64,0x3feb3234bef6646a,0x3fe809d541d9017a,1 +np.float64,0x3fc6de266f2dbc50,0x3fc6bf0ee80a0d86,1 +np.float64,0x3fe8455368f08aa6,0x3fe6028254338ed5,1 +np.float64,0xbfe5576079eaaec1,0xbfe3cb4a8f6bc3f5,1 +np.float64,0xbfe9f822ff73f046,0xbfe7360d7d5cb887,1 +np.float64,0xbfb1960e7e232c20,0xbfb1928438258602,1 +np.float64,0xbfca75938d34eb28,0xbfca4570979bf2fa,1 +np.float64,0x3fd767dd15aecfbc,0x3fd6e33039018bab,1 +np.float64,0xbfe987750ef30eea,0xbfe6e7ed30ce77f0,1 +np.float64,0xbfe87f95a1f0ff2b,0xbfe62ca7e928bb2a,1 +np.float64,0xbfd2465301a48ca6,0xbfd2070245775d76,1 +np.float64,0xbfb1306ed22260e0,0xbfb12d2088eaa4f9,1 +np.float64,0xbfd8089010b01120,0xbfd778f9db77f2f3,1 +np.float64,0x3fbf9cf4ee3f39f0,0x3fbf88674fde1ca2,1 +np.float64,0x3fe6d8468a6db08e,0x3fe4f403f38b7bec,1 +np.float64,0xbfd9e5deefb3cbbe,0xbfd932692c722351,1 +np.float64,0x3fd1584d55a2b09c,0x3fd122253eeecc2e,1 +np.float64,0x3fe857979cf0af30,0x3fe60fc12b5ba8db,1 +np.float64,0x3fe3644149e6c882,0x3fe239f47013cfe6,1 +np.float64,0xbfe22ea62be45d4c,0xbfe13834c17d56fe,1 +np.float64,0xbfe8d93e1df1b27c,0xbfe66cf4ee467fd2,1 +np.float64,0xbfe9c497c9f38930,0xbfe7127417da4204,1 +np.float64,0x3fd6791cecacf238,0x3fd6039ccb5a7fde,1 +np.float64,0xbfc1dc1b1523b838,0xbfc1cd48edd9ae19,1 +np.float64,0xbfc92a8491325508,0xbfc901176e0158a5,1 +np.float64,0x3fa8649b3430c940,0x3fa8623e82d9504f,1 +np.float64,0x3fe0bed6a1617dae,0x3fdffbb307fb1abe,1 +np.float64,0x3febdf7765f7beee,0x3fe87ad01a89b74a,1 +np.float64,0xbfd3a56d46a74ada,0xbfd356cf41bf83cd,1 +np.float64,0x3fd321d824a643b0,0x3fd2d93846a224b3,1 +np.float64,0xbfc6a49fb52d4940,0xbfc686704906e7d3,1 +np.float64,0xbfdd4103c9ba8208,0xbfdc3ef0c03615b4,1 +np.float64,0xbfe0b78a51e16f14,0xbfdfef0d9ffc38b5,1 +np.float64,0xbfdac7a908b58f52,0xbfda0158956ceecf,1 +np.float64,0xbfbfbf12f23f7e28,0xbfbfaa428989258c,1 +np.float64,0xbfd55f5aa2aabeb6,0xbfd4fa39de65f33a,1 +np.float64,0x3fe06969abe0d2d4,0x3fdf6744fafdd9cf,1 +np.float64,0x3fe56ab8be6ad572,0x3fe3da7a1986d543,1 +np.float64,0xbfeefbbec67df77e,0xbfea5d426132f4aa,1 +np.float64,0x3fe6e1f49cedc3ea,0x3fe4fb53f3d8e3d5,1 +np.float64,0x3feceb231c79d646,0x3fe923d3efa55414,1 +np.float64,0xbfd03dd08ea07ba2,0xbfd011549aa1998a,1 +np.float64,0xbfd688327aad1064,0xbfd611c61b56adbe,1 +np.float64,0xbfde3249d8bc6494,0xbfdd16a7237a39d5,1 +np.float64,0x3febd4b65677a96c,0x3fe873e1a401ef03,1 +np.float64,0xbfe46bd2b368d7a6,0xbfe31023c2467749,1 +np.float64,0x3fbf9f5cde3f3ec0,0x3fbf8aca8ec53c45,1 +np.float64,0x3fc20374032406e8,0x3fc1f43f1f2f4d5e,1 +np.float64,0xbfec143b16f82876,0xbfe89caa42582381,1 +np.float64,0xbfd14fa635a29f4c,0xbfd119ced11da669,1 +np.float64,0x3fe25236d4e4a46e,0x3fe156242d644b7a,1 +np.float64,0xbfe4ed793469daf2,0xbfe377a88928fd77,1 +np.float64,0xbfb363572626c6b0,0xbfb35e98d8fe87ae,1 +np.float64,0xbfb389d5aa2713a8,0xbfb384fae55565a7,1 +np.float64,0x3fca6e001934dc00,0x3fca3e0661eaca84,1 +np.float64,0x3fe748f3f76e91e8,0x3fe548ab2168aea6,1 +np.float64,0x3fef150efdfe2a1e,0x3fea6b92d74f60d3,1 +np.float64,0xbfd14b52b1a296a6,0xbfd115a387c0fa93,1 +np.float64,0x3fe3286b5ce650d6,0x3fe208a6469a7527,1 +np.float64,0xbfd57b4f4baaf69e,0xbfd514a12a9f7ab0,1 +np.float64,0xbfef14bd467e297b,0xbfea6b64bbfd42ce,1 +np.float64,0xbfe280bc90650179,0xbfe17d2c49955dba,1 +np.float64,0x3fca8759d7350eb0,0x3fca56d5c17bbc14,1 +np.float64,0xbfdf988f30bf311e,0xbfde53f96f69b05f,1 +np.float64,0x3f6b6eeb4036de00,0x3f6b6ee7e3f86f9a,1 +np.float64,0xbfed560be8faac18,0xbfe9656c5cf973d8,1 +np.float64,0x3fc6102c592c2058,0x3fc5f43efad5396d,1 +np.float64,0xbfdef64ed2bdec9e,0xbfddc4b7fbd45aea,1 +np.float64,0x3fe814acd570295a,0x3fe5df183d543bfe,1 +np.float64,0x3fca21313f344260,0x3fc9f2d47f64fbe2,1 +np.float64,0xbfe89932cc713266,0xbfe63f186a2f60ce,1 +np.float64,0x3fe4ffcff169ffa0,0x3fe386336115ee21,1 +np.float64,0x3fee6964087cd2c8,0x3fea093d31e2c2c5,1 +np.float64,0xbfbeea604e3dd4c0,0xbfbed72734852669,1 +np.float64,0xbfea1954fb7432aa,0xbfe74cdad8720032,1 +np.float64,0x3fea3e1a5ef47c34,0x3fe765ffba65a11d,1 +np.float64,0x3fcedb850b3db708,0x3fce8f39d92f00ba,1 +np.float64,0x3fd3b52d41a76a5c,0x3fd365d22b0003f9,1 +np.float64,0xbfa4108a0c282110,0xbfa40f397fcd844f,1 +np.float64,0x3fd7454c57ae8a98,0x3fd6c2e5542c6c83,1 +np.float64,0xbfeecd3c7a7d9a79,0xbfea42ca943a1695,1 +np.float64,0xbfdddda397bbbb48,0xbfdccb27283d4c4c,1 +np.float64,0x3fe6b52cf76d6a5a,0x3fe4d96ff32925ff,1 +np.float64,0xbfa39a75ec2734f0,0xbfa3993c0da84f87,1 +np.float64,0x3fdd3fe6fdba7fcc,0x3fdc3df12fe9e525,1 +np.float64,0xbfb57a98162af530,0xbfb5742525d5fbe2,1 +np.float64,0xbfd3e166cfa7c2ce,0xbfd38ff2891be9b0,1 +np.float64,0x3fdb6a04f9b6d408,0x3fda955e5018e9dc,1 +np.float64,0x3fe4ab03a4e95608,0x3fe342bfa76e1aa8,1 +np.float64,0xbfe6c8480b6d9090,0xbfe4e7eaa935b3f5,1 +np.float64,0xbdd6b5a17bae,0xbdd6b5a17bae,1 +np.float64,0xd6591979acb23,0xd6591979acb23,1 +np.float64,0x5adbed90b5b7e,0x5adbed90b5b7e,1 +np.float64,0xa664c5314cc99,0xa664c5314cc99,1 +np.float64,0x1727fb162e500,0x1727fb162e500,1 +np.float64,0xdb49a93db6935,0xdb49a93db6935,1 +np.float64,0xb10c958d62193,0xb10c958d62193,1 +np.float64,0xad38276f5a705,0xad38276f5a705,1 +np.float64,0x1d5d0b983aba2,0x1d5d0b983aba2,1 +np.float64,0x915f48e122be9,0x915f48e122be9,1 +np.float64,0x475958ae8eb2c,0x475958ae8eb2c,1 +np.float64,0x3af8406675f09,0x3af8406675f09,1 +np.float64,0x655e88a4cabd2,0x655e88a4cabd2,1 +np.float64,0x40fee8ce81fde,0x40fee8ce81fde,1 +np.float64,0xab83103f57062,0xab83103f57062,1 +np.float64,0x7cf934b8f9f27,0x7cf934b8f9f27,1 +np.float64,0x29f7524853eeb,0x29f7524853eeb,1 +np.float64,0x4a5e954894bd3,0x4a5e954894bd3,1 +np.float64,0x24638f3a48c73,0x24638f3a48c73,1 +np.float64,0xa4f32fc749e66,0xa4f32fc749e66,1 +np.float64,0xf8e92df7f1d26,0xf8e92df7f1d26,1 +np.float64,0x292e9d50525d4,0x292e9d50525d4,1 +np.float64,0xe937e897d26fd,0xe937e897d26fd,1 +np.float64,0xd3bde1d5a77bc,0xd3bde1d5a77bc,1 +np.float64,0xa447ffd548900,0xa447ffd548900,1 +np.float64,0xa3b7b691476f7,0xa3b7b691476f7,1 +np.float64,0x490095c892013,0x490095c892013,1 +np.float64,0xfc853235f90a7,0xfc853235f90a7,1 +np.float64,0x5a8bc082b5179,0x5a8bc082b5179,1 +np.float64,0x1baca45a37595,0x1baca45a37595,1 +np.float64,0x2164120842c83,0x2164120842c83,1 +np.float64,0x66692bdeccd26,0x66692bdeccd26,1 +np.float64,0xf205bdd3e40b8,0xf205bdd3e40b8,1 +np.float64,0x7c3fff98f8801,0x7c3fff98f8801,1 +np.float64,0xccdf10e199bf,0xccdf10e199bf,1 +np.float64,0x92db8e8125b8,0x92db8e8125b8,1 +np.float64,0x5789a8d6af136,0x5789a8d6af136,1 +np.float64,0xbdda869d7bb51,0xbdda869d7bb51,1 +np.float64,0xb665e0596ccbc,0xb665e0596ccbc,1 +np.float64,0x74e6b46ee9cd7,0x74e6b46ee9cd7,1 +np.float64,0x4f39cf7c9e73b,0x4f39cf7c9e73b,1 +np.float64,0xfdbf3907fb7e7,0xfdbf3907fb7e7,1 +np.float64,0xafdef4d55fbdf,0xafdef4d55fbdf,1 +np.float64,0xb49858236930b,0xb49858236930b,1 +np.float64,0x3ebe21d47d7c5,0x3ebe21d47d7c5,1 +np.float64,0x5b620512b6c41,0x5b620512b6c41,1 +np.float64,0x31918cda63232,0x31918cda63232,1 +np.float64,0x68b5741ed16af,0x68b5741ed16af,1 +np.float64,0xa5c09a5b4b814,0xa5c09a5b4b814,1 +np.float64,0x55f51c14abea4,0x55f51c14abea4,1 +np.float64,0xda8a3e41b515,0xda8a3e41b515,1 +np.float64,0x9ea9c8513d539,0x9ea9c8513d539,1 +np.float64,0x7f23b964fe478,0x7f23b964fe478,1 +np.float64,0xf6e08c7bedc12,0xf6e08c7bedc12,1 +np.float64,0x7267aa24e4cf6,0x7267aa24e4cf6,1 +np.float64,0x236bb93a46d78,0x236bb93a46d78,1 +np.float64,0x9a98430b35309,0x9a98430b35309,1 +np.float64,0xbb683fef76d08,0xbb683fef76d08,1 +np.float64,0x1ff0eb6e3fe1e,0x1ff0eb6e3fe1e,1 +np.float64,0xf524038fea481,0xf524038fea481,1 +np.float64,0xd714e449ae29d,0xd714e449ae29d,1 +np.float64,0x4154fd7682aa0,0x4154fd7682aa0,1 +np.float64,0x5b8d2f6cb71a7,0x5b8d2f6cb71a7,1 +np.float64,0xc91aa21d92355,0xc91aa21d92355,1 +np.float64,0xbd94fd117b2a0,0xbd94fd117b2a0,1 +np.float64,0x685b207ad0b65,0x685b207ad0b65,1 +np.float64,0xd2485b05a490c,0xd2485b05a490c,1 +np.float64,0x151ea5e62a3d6,0x151ea5e62a3d6,1 +np.float64,0x2635a7164c6b6,0x2635a7164c6b6,1 +np.float64,0x88ae3b5d115c8,0x88ae3b5d115c8,1 +np.float64,0x8a055a55140ac,0x8a055a55140ac,1 +np.float64,0x756f7694eadef,0x756f7694eadef,1 +np.float64,0x866d74630cdaf,0x866d74630cdaf,1 +np.float64,0x39e44f2873c8b,0x39e44f2873c8b,1 +np.float64,0x2a07ceb6540fb,0x2a07ceb6540fb,1 +np.float64,0xc52b96398a573,0xc52b96398a573,1 +np.float64,0x9546543b2a8cb,0x9546543b2a8cb,1 +np.float64,0x5b995b90b732c,0x5b995b90b732c,1 +np.float64,0x2de10a565bc22,0x2de10a565bc22,1 +np.float64,0x3b06ee94760df,0x3b06ee94760df,1 +np.float64,0xb18e77a5631cf,0xb18e77a5631cf,1 +np.float64,0x3b89ae3a77137,0x3b89ae3a77137,1 +np.float64,0xd9b0b6e5b3617,0xd9b0b6e5b3617,1 +np.float64,0x30b2310861647,0x30b2310861647,1 +np.float64,0x326a3ab464d48,0x326a3ab464d48,1 +np.float64,0x4c18610a9830d,0x4c18610a9830d,1 +np.float64,0x541dea42a83be,0x541dea42a83be,1 +np.float64,0xcd027dbf9a050,0xcd027dbf9a050,1 +np.float64,0x780a0f80f015,0x780a0f80f015,1 +np.float64,0x740ed5b2e81db,0x740ed5b2e81db,1 +np.float64,0xc226814d844d0,0xc226814d844d0,1 +np.float64,0xde958541bd2b1,0xde958541bd2b1,1 +np.float64,0xb563d3296ac7b,0xb563d3296ac7b,1 +np.float64,0x1db3b0b83b677,0x1db3b0b83b677,1 +np.float64,0xa7b0275d4f605,0xa7b0275d4f605,1 +np.float64,0x72f8d038e5f1b,0x72f8d038e5f1b,1 +np.float64,0x860ed1350c1da,0x860ed1350c1da,1 +np.float64,0x79f88262f3f11,0x79f88262f3f11,1 +np.float64,0x8817761f102ef,0x8817761f102ef,1 +np.float64,0xac44784b5888f,0xac44784b5888f,1 +np.float64,0x800fd594241fab28,0x800fd594241fab28,1 +np.float64,0x800ede32f8ddbc66,0x800ede32f8ddbc66,1 +np.float64,0x800de4c1121bc982,0x800de4c1121bc982,1 +np.float64,0x80076ebcddcedd7a,0x80076ebcddcedd7a,1 +np.float64,0x800b3fee06567fdc,0x800b3fee06567fdc,1 +np.float64,0x800b444426b68889,0x800b444426b68889,1 +np.float64,0x800b1c037a563807,0x800b1c037a563807,1 +np.float64,0x8001eb88c2a3d712,0x8001eb88c2a3d712,1 +np.float64,0x80058aae6dab155e,0x80058aae6dab155e,1 +np.float64,0x80083df2d4f07be6,0x80083df2d4f07be6,1 +np.float64,0x800e3b19d97c7634,0x800e3b19d97c7634,1 +np.float64,0x800a71c6f374e38e,0x800a71c6f374e38e,1 +np.float64,0x80048557f1490ab1,0x80048557f1490ab1,1 +np.float64,0x8000a00e6b01401e,0x8000a00e6b01401e,1 +np.float64,0x800766a3e2cecd49,0x800766a3e2cecd49,1 +np.float64,0x80015eb44602bd69,0x80015eb44602bd69,1 +np.float64,0x800bde885a77bd11,0x800bde885a77bd11,1 +np.float64,0x800224c53ea4498b,0x800224c53ea4498b,1 +np.float64,0x80048e8c6a291d1a,0x80048e8c6a291d1a,1 +np.float64,0x800b667e4af6ccfd,0x800b667e4af6ccfd,1 +np.float64,0x800ae3d7e395c7b0,0x800ae3d7e395c7b0,1 +np.float64,0x80086c245550d849,0x80086c245550d849,1 +np.float64,0x800d7d25f6fafa4c,0x800d7d25f6fafa4c,1 +np.float64,0x800f8d9ab0ff1b35,0x800f8d9ab0ff1b35,1 +np.float64,0x800690e949cd21d3,0x800690e949cd21d3,1 +np.float64,0x8003022381060448,0x8003022381060448,1 +np.float64,0x80085e0dad70bc1c,0x80085e0dad70bc1c,1 +np.float64,0x800e2ffc369c5ff9,0x800e2ffc369c5ff9,1 +np.float64,0x800b629b5af6c537,0x800b629b5af6c537,1 +np.float64,0x800fdc964b7fb92d,0x800fdc964b7fb92d,1 +np.float64,0x80036bb4b1c6d76a,0x80036bb4b1c6d76a,1 +np.float64,0x800b382f7f16705f,0x800b382f7f16705f,1 +np.float64,0x800ebac9445d7593,0x800ebac9445d7593,1 +np.float64,0x80015075c3e2a0ec,0x80015075c3e2a0ec,1 +np.float64,0x8002a6ec5ce54dd9,0x8002a6ec5ce54dd9,1 +np.float64,0x8009fab74a93f56f,0x8009fab74a93f56f,1 +np.float64,0x800c94b9ea992974,0x800c94b9ea992974,1 +np.float64,0x800dc2efd75b85e0,0x800dc2efd75b85e0,1 +np.float64,0x800be6400d57cc80,0x800be6400d57cc80,1 +np.float64,0x80021f6858443ed1,0x80021f6858443ed1,1 +np.float64,0x800600e2ac4c01c6,0x800600e2ac4c01c6,1 +np.float64,0x800a2159e6b442b4,0x800a2159e6b442b4,1 +np.float64,0x800c912f4bb9225f,0x800c912f4bb9225f,1 +np.float64,0x800a863a9db50c76,0x800a863a9db50c76,1 +np.float64,0x800ac16851d582d1,0x800ac16851d582d1,1 +np.float64,0x8003f7d32e87efa7,0x8003f7d32e87efa7,1 +np.float64,0x800be4eee3d7c9de,0x800be4eee3d7c9de,1 +np.float64,0x80069ff0ac4d3fe2,0x80069ff0ac4d3fe2,1 +np.float64,0x80061c986d4c3932,0x80061c986d4c3932,1 +np.float64,0x8000737b4de0e6f7,0x8000737b4de0e6f7,1 +np.float64,0x8002066ef7440cdf,0x8002066ef7440cdf,1 +np.float64,0x8001007050c200e1,0x8001007050c200e1,1 +np.float64,0x8008df9fa351bf40,0x8008df9fa351bf40,1 +np.float64,0x800f8394ee5f072a,0x800f8394ee5f072a,1 +np.float64,0x80008e0b01c11c17,0x80008e0b01c11c17,1 +np.float64,0x800f7088ed3ee112,0x800f7088ed3ee112,1 +np.float64,0x800285b86f650b72,0x800285b86f650b72,1 +np.float64,0x8008ec18af51d832,0x8008ec18af51d832,1 +np.float64,0x800da08523bb410a,0x800da08523bb410a,1 +np.float64,0x800de853ca7bd0a8,0x800de853ca7bd0a8,1 +np.float64,0x8008c8aefad1915e,0x8008c8aefad1915e,1 +np.float64,0x80010c39d5821874,0x80010c39d5821874,1 +np.float64,0x8009208349724107,0x8009208349724107,1 +np.float64,0x800783783f0f06f1,0x800783783f0f06f1,1 +np.float64,0x80025caf9984b960,0x80025caf9984b960,1 +np.float64,0x800bc76fa6778ee0,0x800bc76fa6778ee0,1 +np.float64,0x80017e2f89a2fc60,0x80017e2f89a2fc60,1 +np.float64,0x800ef169843de2d3,0x800ef169843de2d3,1 +np.float64,0x80098a5f7db314bf,0x80098a5f7db314bf,1 +np.float64,0x800d646f971ac8df,0x800d646f971ac8df,1 +np.float64,0x800110d1dc6221a4,0x800110d1dc6221a4,1 +np.float64,0x800f8b422a1f1684,0x800f8b422a1f1684,1 +np.float64,0x800785c97dcf0b94,0x800785c97dcf0b94,1 +np.float64,0x800da201283b4403,0x800da201283b4403,1 +np.float64,0x800a117cc7b422fa,0x800a117cc7b422fa,1 +np.float64,0x80024731cfa48e64,0x80024731cfa48e64,1 +np.float64,0x800199d456c333a9,0x800199d456c333a9,1 +np.float64,0x8005f66bab8becd8,0x8005f66bab8becd8,1 +np.float64,0x8008e7227c11ce45,0x8008e7227c11ce45,1 +np.float64,0x8007b66cc42f6cda,0x8007b66cc42f6cda,1 +np.float64,0x800669e6f98cd3cf,0x800669e6f98cd3cf,1 +np.float64,0x800aed917375db23,0x800aed917375db23,1 +np.float64,0x8008b6dd15116dbb,0x8008b6dd15116dbb,1 +np.float64,0x800f49869cfe930d,0x800f49869cfe930d,1 +np.float64,0x800a712661b4e24d,0x800a712661b4e24d,1 +np.float64,0x800944e816f289d1,0x800944e816f289d1,1 +np.float64,0x800eba0f8a1d741f,0x800eba0f8a1d741f,1 +np.float64,0x800cf6ded139edbe,0x800cf6ded139edbe,1 +np.float64,0x80023100c6246202,0x80023100c6246202,1 +np.float64,0x800c5a94add8b52a,0x800c5a94add8b52a,1 +np.float64,0x800adf329b95be66,0x800adf329b95be66,1 +np.float64,0x800af9afc115f360,0x800af9afc115f360,1 +np.float64,0x800d66ce837acd9d,0x800d66ce837acd9d,1 +np.float64,0x8003ffb5e507ff6d,0x8003ffb5e507ff6d,1 +np.float64,0x80027d280024fa51,0x80027d280024fa51,1 +np.float64,0x800fc37e1d1f86fc,0x800fc37e1d1f86fc,1 +np.float64,0x800fc7258b9f8e4b,0x800fc7258b9f8e4b,1 +np.float64,0x8003fb5789e7f6b0,0x8003fb5789e7f6b0,1 +np.float64,0x800eb4e7a13d69cf,0x800eb4e7a13d69cf,1 +np.float64,0x800951850952a30a,0x800951850952a30a,1 +np.float64,0x3fed4071be3a80e3,0x3fe95842074431df,1 +np.float64,0x3f8d2341203a4682,0x3f8d2300b453bd9f,1 +np.float64,0x3fdc8ce332b919c6,0x3fdb9cdf1440c28f,1 +np.float64,0x3fdc69bd84b8d37b,0x3fdb7d25c8166b7b,1 +np.float64,0x3fc4c22ad0298456,0x3fc4aae73e231b4f,1 +np.float64,0x3fea237809f446f0,0x3fe753cc6ca96193,1 +np.float64,0x3fd34cf6462699ed,0x3fd30268909bb47e,1 +np.float64,0x3fafce20643f9c41,0x3fafc8e41a240e35,1 +np.float64,0x3fdc6d416538da83,0x3fdb805262292863,1 +np.float64,0x3fe7d8362aefb06c,0x3fe5b2ce659db7fd,1 +np.float64,0x3fe290087de52011,0x3fe189f9a3eb123d,1 +np.float64,0x3fa62d2bf82c5a58,0x3fa62b65958ca2b8,1 +np.float64,0x3fafd134403fa269,0x3fafcbf670f8a6f3,1 +np.float64,0x3fa224e53c2449ca,0x3fa223ec5de1631b,1 +np.float64,0x3fb67e2c2c2cfc58,0x3fb676c445fb70a0,1 +np.float64,0x3fda358d01346b1a,0x3fd97b9441666eb2,1 +np.float64,0x3fdd30fc4bba61f9,0x3fdc308da423778d,1 +np.float64,0x3fc56e99c52add34,0x3fc5550004492621,1 +np.float64,0x3fe32d08de265a12,0x3fe20c761a73cec2,1 +np.float64,0x3fd46cf932a8d9f2,0x3fd414a7f3db03df,1 +np.float64,0x3fd94cfa2b3299f4,0x3fd8a5961b3e4bdd,1 +np.float64,0x3fed6ea3a6fadd47,0x3fe9745b2f6c9204,1 +np.float64,0x3fe4431d1768863a,0x3fe2ef61d0481de0,1 +np.float64,0x3fe1d8e00ea3b1c0,0x3fe0efab5050ee78,1 +np.float64,0x3fe56f37dcaade70,0x3fe3de00b0f392e0,1 +np.float64,0x3fde919a2dbd2334,0x3fdd6b6d2dcf2396,1 +np.float64,0x3fe251e3d4a4a3c8,0x3fe155de69605d60,1 +np.float64,0x3fe5e0ecc5abc1da,0x3fe436a5de5516cf,1 +np.float64,0x3fcd48780c3a90f0,0x3fcd073fa907ba9b,1 +np.float64,0x3fe4e8149229d029,0x3fe37360801d5b66,1 +np.float64,0x3fb9ef159633de2b,0x3fb9e3bc05a15d1d,1 +np.float64,0x3fc24a3f0424947e,0x3fc23a5432ca0e7c,1 +np.float64,0x3fe55ca196aab943,0x3fe3cf6b3143435a,1 +np.float64,0x3fe184544c2308a9,0x3fe0a7b49fa80aec,1 +np.float64,0x3fe2c76e83658edd,0x3fe1b8355c1ea771,1 +np.float64,0x3fea8d2c4ab51a59,0x3fe79ba85aabc099,1 +np.float64,0x3fd74f98abae9f31,0x3fd6cc85005d0593,1 +np.float64,0x3fec6de9a678dbd3,0x3fe8d59a1d23cdd1,1 +np.float64,0x3fec8a0e50f9141d,0x3fe8e7500f6f6a00,1 +np.float64,0x3fe9de6d08b3bcda,0x3fe7245319508767,1 +np.float64,0x3fe4461fd1688c40,0x3fe2f1cf0b93aba6,1 +np.float64,0x3fde342d9d3c685b,0x3fdd185609d5719d,1 +np.float64,0x3feb413fc8368280,0x3fe813c091d2519a,1 +np.float64,0x3fe64333156c8666,0x3fe48275b9a6a358,1 +np.float64,0x3fe03c65226078ca,0x3fdf18b26786be35,1 +np.float64,0x3fee11054dbc220b,0x3fe9d579a1cfa7ad,1 +np.float64,0x3fbaefccae35df99,0x3fbae314fef7c7ea,1 +np.float64,0x3feed4e3487da9c7,0x3fea4729241c8811,1 +np.float64,0x3fbb655df836cabc,0x3fbb57fcf9a097be,1 +np.float64,0x3fe68b0273ed1605,0x3fe4b96109afdf76,1 +np.float64,0x3fd216bfc3242d80,0x3fd1d957363f6a43,1 +np.float64,0x3fe01328d4a02652,0x3fded083bbf94aba,1 +np.float64,0x3fe3f9a61ae7f34c,0x3fe2b3f701b79028,1 +np.float64,0x3fed4e7cf8fa9cfa,0x3fe960d27084fb40,1 +np.float64,0x3faec08e343d811c,0x3faebbd2aa07ac1f,1 +np.float64,0x3fd2d1bbeea5a378,0x3fd28c9aefcf48ad,1 +np.float64,0x3fd92e941fb25d28,0x3fd889857f88410d,1 +np.float64,0x3fe43decb7e87bd9,0x3fe2eb32b4ee4667,1 +np.float64,0x3fef49cabcfe9395,0x3fea892f9a233f76,1 +np.float64,0x3fe3e96812e7d2d0,0x3fe2a6c6b45dd6ee,1 +np.float64,0x3fd24c0293a49805,0x3fd20c76d54473cb,1 +np.float64,0x3fb43d6b7e287ad7,0x3fb438060772795a,1 +np.float64,0x3fe87bf7d3f0f7f0,0x3fe62a0c47411c62,1 +np.float64,0x3fee82a2e07d0546,0x3fea17e27e752b7b,1 +np.float64,0x3fe40c01bbe81803,0x3fe2c2d9483f44d8,1 +np.float64,0x3fd686ccae2d0d99,0x3fd610763fb61097,1 +np.float64,0x3fe90fcf2af21f9e,0x3fe693c12df59ba9,1 +np.float64,0x3fefb3ce11ff679c,0x3feac3dd4787529d,1 +np.float64,0x3fcec53ff63d8a80,0x3fce79992af00c58,1 +np.float64,0x3fe599dd7bab33bb,0x3fe3ff5da7575d85,1 +np.float64,0x3fe9923b1a732476,0x3fe6ef71d13db456,1 +np.float64,0x3febf76fcef7eee0,0x3fe88a3952e11373,1 +np.float64,0x3fc2cfd128259fa2,0x3fc2be7fd47fd811,1 +np.float64,0x3fe4d37ae269a6f6,0x3fe36300d45e3745,1 +np.float64,0x3fe23aa2e4247546,0x3fe1424e172f756f,1 +np.float64,0x3fe4f0596ca9e0b3,0x3fe379f0c49de7ef,1 +np.float64,0x3fe2e4802fe5c900,0x3fe1d062a8812601,1 +np.float64,0x3fe5989c79eb3139,0x3fe3fe6308552dec,1 +np.float64,0x3fe3c53cb4e78a79,0x3fe28956e573aca4,1 +np.float64,0x3fe6512beeeca258,0x3fe48d2d5ece979f,1 +np.float64,0x3fd8473ddb308e7c,0x3fd7b33e38adc6ad,1 +np.float64,0x3fecd09c9679a139,0x3fe91361fa0c5bcb,1 +np.float64,0x3fc991530e3322a6,0x3fc965e2c514a9e9,1 +np.float64,0x3f6d4508403a8a11,0x3f6d45042b68acc5,1 +np.float64,0x3fea1f198f743e33,0x3fe750ce918d9330,1 +np.float64,0x3fd0a0bb4da14177,0x3fd07100f9c71e1c,1 +np.float64,0x3fd30c45ffa6188c,0x3fd2c499f9961f66,1 +np.float64,0x3fcad98e7c35b31d,0x3fcaa74293cbc52e,1 +np.float64,0x3fec8e4a5eb91c95,0x3fe8e9f898d118db,1 +np.float64,0x3fd19fdb79233fb7,0x3fd1670c00febd24,1 +np.float64,0x3fea9fcbb1f53f97,0x3fe7a836b29c4075,1 +np.float64,0x3fc6d12ea12da25d,0x3fc6b24bd2f89f59,1 +np.float64,0x3fd6af3658ad5e6d,0x3fd636613e08df3f,1 +np.float64,0x3fe31bc385a63787,0x3fe1fe3081621213,1 +np.float64,0x3fc0dbba2221b774,0x3fc0cf42c9313dba,1 +np.float64,0x3fef639ce87ec73a,0x3fea9795454f1036,1 +np.float64,0x3fee5f29dcbcbe54,0x3fea0349b288f355,1 +np.float64,0x3fed46bdb37a8d7b,0x3fe95c199f5aa569,1 +np.float64,0x3fef176afa3e2ed6,0x3fea6ce78b2aa3aa,1 +np.float64,0x3fc841e7683083cf,0x3fc81cccb84848cc,1 +np.float64,0xbfda3ec9a2347d94,0xbfd9840d180e9de3,1 +np.float64,0xbfcd5967ae3ab2d0,0xbfcd17be13142bb9,1 +np.float64,0xbfedf816573bf02d,0xbfe9c6bb06476c60,1 +np.float64,0xbfd0d6e10e21adc2,0xbfd0a54f99d2f3dc,1 +np.float64,0xbfe282df096505be,0xbfe17ef5e2e80760,1 +np.float64,0xbfd77ae6e62ef5ce,0xbfd6f4f6b603ad8a,1 +np.float64,0xbfe37b171aa6f62e,0xbfe24cb4b2d0ade4,1 +np.float64,0xbfef9e5ed9bf3cbe,0xbfeab817b41000bd,1 +np.float64,0xbfe624d6f96c49ae,0xbfe46b1e9c9aff86,1 +np.float64,0xbfefb5da65ff6bb5,0xbfeac4fc9c982772,1 +np.float64,0xbfd29a65d52534cc,0xbfd2579df8ff87b9,1 +np.float64,0xbfd40270172804e0,0xbfd3af6471104aef,1 +np.float64,0xbfb729ee7a2e53e0,0xbfb721d7dbd2705e,1 +np.float64,0xbfb746f1382e8de0,0xbfb73ebc1207f8e3,1 +np.float64,0xbfd3c7e606a78fcc,0xbfd377a8aa1b0dd9,1 +np.float64,0xbfd18c4880231892,0xbfd1543506584ad5,1 +np.float64,0xbfea988080753101,0xbfe7a34cba0d0fa1,1 +np.float64,0xbf877400e02ee800,0xbf8773df47fa7e35,1 +np.float64,0xbfb07e050820fc08,0xbfb07b198d4a52c9,1 +np.float64,0xbfee0a3621fc146c,0xbfe9d1745a05ba77,1 +np.float64,0xbfe78de246ef1bc4,0xbfe57bf2baab91c8,1 +np.float64,0xbfcdbfd3bd3b7fa8,0xbfcd7b728a955a06,1 +np.float64,0xbfe855ea79b0abd5,0xbfe60e8a4a17b921,1 +np.float64,0xbfd86c8e3530d91c,0xbfd7d5e36c918dc1,1 +np.float64,0xbfe4543169e8a863,0xbfe2fd23d42f552e,1 +np.float64,0xbfe41efbf1283df8,0xbfe2d235a2faed1a,1 +np.float64,0xbfd9a55464b34aa8,0xbfd8f7083f7281e5,1 +np.float64,0xbfe5f5078d6bea0f,0xbfe44637d910c270,1 +np.float64,0xbfe6d83e3dedb07c,0xbfe4f3fdadd10552,1 +np.float64,0xbfdb767e70b6ecfc,0xbfdaa0b6c17f3fb1,1 +np.float64,0xbfdfc91b663f9236,0xbfde7eb0dfbeaa26,1 +np.float64,0xbfbfbd18783f7a30,0xbfbfa84bf2fa1c8d,1 +np.float64,0xbfe51199242a2332,0xbfe39447dbe066ae,1 +np.float64,0xbfdbb94814b77290,0xbfdadd63bd796972,1 +np.float64,0xbfd8c6272cb18c4e,0xbfd828f2d9e8607e,1 +np.float64,0xbfce51e0b63ca3c0,0xbfce097ee908083a,1 +np.float64,0xbfe99a177d73342f,0xbfe6f4ec776a57ae,1 +np.float64,0xbfefde2ab0ffbc55,0xbfeadafdcbf54733,1 +np.float64,0xbfcccb5c1c3996b8,0xbfcc8d586a73d126,1 +np.float64,0xbfdf7ddcedbefbba,0xbfde3c749a906de7,1 +np.float64,0xbfef940516ff280a,0xbfeab26429e89f4b,1 +np.float64,0xbfe08009f1e10014,0xbfdf8eab352997eb,1 +np.float64,0xbfe9c02682b3804d,0xbfe70f5fd05f79ee,1 +np.float64,0xbfb3ca1732279430,0xbfb3c50bec5b453a,1 +np.float64,0xbfe368e81926d1d0,0xbfe23dc704d0887c,1 +np.float64,0xbfbd20cc2e3a4198,0xbfbd10b7e6d81c6c,1 +np.float64,0xbfd67ece4d2cfd9c,0xbfd608f527dcc5e7,1 +np.float64,0xbfdc02d1333805a2,0xbfdb20104454b79f,1 +np.float64,0xbfc007a626200f4c,0xbfbff9dc9dc70193,1 +np.float64,0xbfda9e4f8fb53ca0,0xbfd9db8af35dc630,1 +np.float64,0xbfd8173d77302e7a,0xbfd786a0cf3e2914,1 +np.float64,0xbfeb8fcbd0b71f98,0xbfe84734debc10fb,1 +np.float64,0xbfe4bf1cb7697e3a,0xbfe352c891113f29,1 +np.float64,0xbfc18624d5230c48,0xbfc178248e863b64,1 +np.float64,0xbfcf184bac3e3098,0xbfceca3b19be1ebe,1 +np.float64,0xbfd2269c42a44d38,0xbfd1e8920d72b694,1 +np.float64,0xbfe8808526b1010a,0xbfe62d5497292495,1 +np.float64,0xbfe498bd1da9317a,0xbfe334245eadea93,1 +np.float64,0xbfef0855aebe10ab,0xbfea6462f29aeaf9,1 +np.float64,0xbfdeb186c93d630e,0xbfdd87c37943c602,1 +np.float64,0xbfb29fe2ae253fc8,0xbfb29bae3c87efe4,1 +np.float64,0xbfddd9c6c3bbb38e,0xbfdcc7b400bf384b,1 +np.float64,0xbfe3506673e6a0cd,0xbfe2299f26295553,1 +np.float64,0xbfe765957a2ecb2b,0xbfe55e03cf22edab,1 +np.float64,0xbfecc9876c79930f,0xbfe90efaf15b6207,1 +np.float64,0xbfefb37a0a7f66f4,0xbfeac3af3898e7c2,1 +np.float64,0xbfeefa0da7bdf41b,0xbfea5c4cde53c1c3,1 +np.float64,0xbfe6639ee9ecc73e,0xbfe49b4e28a72482,1 +np.float64,0xbfef91a4bb7f2349,0xbfeab114ac9e25dd,1 +np.float64,0xbfc8b392bb316724,0xbfc88c657f4441a3,1 +np.float64,0xbfc88a358231146c,0xbfc863cb900970fe,1 +np.float64,0xbfef25a9d23e4b54,0xbfea74eda432aabe,1 +np.float64,0xbfe6aceea0ed59de,0xbfe4d32e54a3fd01,1 +np.float64,0xbfefe2b3e37fc568,0xbfeadd74f4605835,1 +np.float64,0xbfa9eecb8833dd90,0xbfa9ebf4f4cb2591,1 +np.float64,0xbfd42bad7428575a,0xbfd3d69de8e52d0a,1 +np.float64,0xbfbc366b4a386cd8,0xbfbc27ceee8f3019,1 +np.float64,0xbfd9bca7be337950,0xbfd90c80e6204e57,1 +np.float64,0xbfe8173f53f02e7f,0xbfe5e0f8d8ed329c,1 +np.float64,0xbfce22dbcb3c45b8,0xbfcddbc8159b63af,1 +np.float64,0xbfea2d7ba7345af7,0xbfe75aa62ad5b80a,1 +np.float64,0xbfc08b783e2116f0,0xbfc07faf8d501558,1 +np.float64,0xbfb8c4161c318830,0xbfb8ba33950748ec,1 +np.float64,0xbfddd930bcbbb262,0xbfdcc72dffdf51bb,1 +np.float64,0xbfd108ce8a22119e,0xbfd0d5801e7698bd,1 +np.float64,0xbfd5bd2b5dab7a56,0xbfd552c52c468c76,1 +np.float64,0xbfe7ffe67fefffcd,0xbfe5cfe96e35e6e5,1 +np.float64,0xbfa04ec6bc209d90,0xbfa04e120a2c25cc,1 +np.float64,0xbfef7752cc7eeea6,0xbfeaa28715addc4f,1 +np.float64,0xbfe7083c2eae1078,0xbfe5182bf8ddfc8e,1 +np.float64,0xbfe05dafd0a0bb60,0xbfdf52d397cfe5f6,1 +np.float64,0xbfacb4f2243969e0,0xbfacb118991ea235,1 +np.float64,0xbfc7d47e422fa8fc,0xbfc7b1504714a4fd,1 +np.float64,0xbfbd70b2243ae168,0xbfbd60182efb61de,1 +np.float64,0xbfe930e49cb261c9,0xbfe6ab272b3f9cfc,1 +np.float64,0xbfb5f537e62bea70,0xbfb5ee540dcdc635,1 +np.float64,0xbfbb0c8278361908,0xbfbaffa1f7642a87,1 +np.float64,0xbfe82af2447055e4,0xbfe5ef54ca8db9e8,1 +np.float64,0xbfe92245e6f2448c,0xbfe6a0d32168040b,1 +np.float64,0xbfb799a8522f3350,0xbfb7911a7ada3640,1 +np.float64,0x7faa8290c8350521,0x3fe5916f67209cd6,1 +np.float64,0x7f976597082ecb2d,0x3fcf94dce396bd37,1 +np.float64,0x7fede721237bce41,0x3fe3e7b1575b005f,1 +np.float64,0x7fd5f674d72bece9,0x3fe3210628eba199,1 +np.float64,0x7f9b0f1aa0361e34,0x3feffd34d15d1da7,1 +np.float64,0x7fec48346ab89068,0x3fe93dd84253d9a2,1 +np.float64,0x7f9cac76283958eb,0xbfec4cd999653868,1 +np.float64,0x7fed51ab6bbaa356,0x3fecc27fb5f37bca,1 +np.float64,0x7fded3c116bda781,0xbfda473efee47cf1,1 +np.float64,0x7fd19c48baa33890,0xbfe25700cbfc0326,1 +np.float64,0x7fe5c8f478ab91e8,0xbfee4ab6d84806be,1 +np.float64,0x7fe53c64e46a78c9,0x3fee19c3f227f4e1,1 +np.float64,0x7fc2ad1936255a31,0xbfe56db9b877f807,1 +np.float64,0x7fe2b071b52560e2,0xbfce3990a8d390a9,1 +np.float64,0x7fc93f3217327e63,0xbfd1f6d7ef838d2b,1 +np.float64,0x7fec26df08784dbd,0x3fd5397be41c93d9,1 +np.float64,0x7fcf4770183e8edf,0x3fe6354f5a785016,1 +np.float64,0x7fdc9fcc0bb93f97,0xbfeeeae952e8267d,1 +np.float64,0x7feb21f29c7643e4,0x3fec20122e33f1bf,1 +np.float64,0x7fd0b51273216a24,0x3fefb09f8daba00b,1 +np.float64,0x7fe747a9d76e8f53,0x3feb46a3232842a4,1 +np.float64,0x7fd58885972b110a,0xbfce5ea57c186221,1 +np.float64,0x7fca3ce85c3479d0,0x3fef93a24548e8ca,1 +np.float64,0x7fe1528a46a2a514,0xbfb54bb578d9da91,1 +np.float64,0x7fcc58b21b38b163,0x3feffb5b741ffc2d,1 +np.float64,0x7fdabcaaf5357955,0x3fecbf855db524d1,1 +np.float64,0x7fdd27c6933a4f8c,0xbfef2f41bb80144b,1 +np.float64,0x7fbda4e1be3b49c2,0x3fdb9b33f84f5381,1 +np.float64,0x7fe53363362a66c5,0x3fe4daff3a6a4ed0,1 +np.float64,0x7fe5719d62eae33a,0xbfef761d98f625d5,1 +np.float64,0x7f982ce5a83059ca,0x3fd0b27c3365f0a8,1 +np.float64,0x7fe6db8c42edb718,0x3fe786f4b1fe11a6,1 +np.float64,0x7fe62cca1b2c5993,0x3fd425b6c4c9714a,1 +np.float64,0x7feea88850bd5110,0xbfd7bbb432017175,1 +np.float64,0x7fad6c6ae43ad8d5,0x3fe82e49098bc6de,1 +np.float64,0x7fe70542f02e0a85,0x3fec3017960b4822,1 +np.float64,0x7feaf0bcbb35e178,0xbfc3aac74dd322d5,1 +np.float64,0x7fb5e152fe2bc2a5,0x3fd4b27a4720614c,1 +np.float64,0x7fe456ee5be8addc,0xbfe9e15ab5cff229,1 +np.float64,0x7fd4b53a8d296a74,0xbfefff450f503326,1 +np.float64,0x7fd7149d7a2e293a,0x3fef4ef0a9009096,1 +np.float64,0x7fd43fc5a8a87f8a,0x3fe0c929fee9dce7,1 +np.float64,0x7fef97022aff2e03,0x3fd4ea52a813da20,1 +np.float64,0x7fe035950ae06b29,0x3fef4e125394fb05,1 +np.float64,0x7fecd0548979a0a8,0x3fe89d226244037b,1 +np.float64,0x7fc79b3ac22f3675,0xbfee9c9cf78c8270,1 +np.float64,0x7fd8b8e8263171cf,0x3fe8e24437961db0,1 +np.float64,0x7fc288c23e251183,0xbfbaf8eca50986ca,1 +np.float64,0x7fe436b4b6686d68,0xbfecd661741931c4,1 +np.float64,0x7fcdf99abe3bf334,0x3feaa75c90830b92,1 +np.float64,0x7fd9f9739233f2e6,0xbfebbfcb301b0da5,1 +np.float64,0x7fd6fcbd1b2df979,0xbfccf2c77cb65f56,1 +np.float64,0x7fe242a97b248552,0xbfe5b0f13bcbabc8,1 +np.float64,0x7fe38bf3e06717e7,0x3fbc8fa9004d2668,1 +np.float64,0x7fecd0e8d479a1d1,0xbfe886a6b4f73a4a,1 +np.float64,0x7fe958d60232b1ab,0xbfeb7c4cf0cee2dd,1 +np.float64,0x7f9d492b583a9256,0xbfebe975d00221cb,1 +np.float64,0x7fd6c9983bad932f,0xbfefe817621a31f6,1 +np.float64,0x7fed0d7239fa1ae3,0x3feac7e1b6455b4b,1 +np.float64,0x7fe61dac90ec3b58,0x3fef845b9efe8421,1 +np.float64,0x7f9acd3010359a5f,0xbfe460d376200130,1 +np.float64,0x7fedced9673b9db2,0xbfeeaf23445e1944,1 +np.float64,0x7fd9f271a733e4e2,0xbfd41544535ecb78,1 +np.float64,0x7fe703339bee0666,0x3fef93334626b56c,1 +np.float64,0x7fec7761b7b8eec2,0xbfe6da9179e8e714,1 +np.float64,0x7fdd9fff043b3ffd,0xbfc0761dfb8d94f9,1 +np.float64,0x7fdc10ed17b821d9,0x3fe1481e2a26c77f,1 +np.float64,0x7fe7681e72aed03c,0x3fefff94a6d47c84,1 +np.float64,0x7fe18c29e1e31853,0x3fe86ebd2fd89456,1 +np.float64,0x7fb2fb273c25f64d,0xbfefc136f57e06de,1 +np.float64,0x7fac2bbb90385776,0x3fe25d8e3cdae7e3,1 +np.float64,0x7fed16789efa2cf0,0x3fe94555091fdfd9,1 +np.float64,0x7fd8fe8f7831fd1e,0xbfed58d520361902,1 +np.float64,0x7fa59bde3c2b37bb,0x3fef585391c077ff,1 +np.float64,0x7fda981b53353036,0x3fde02ca08737b5f,1 +np.float64,0x7fd29f388aa53e70,0xbfe04f5499246df2,1 +np.float64,0x7fcd0232513a0464,0xbfd9737f2f565829,1 +np.float64,0x7fe9a881bcf35102,0xbfe079cf285b35dd,1 +np.float64,0x7fdbe399a9b7c732,0x3fe965bc4220f340,1 +np.float64,0x7feb77414af6ee82,0xbfb7df2fcd491f55,1 +np.float64,0x7fa26e86c424dd0d,0xbfea474c3d65b9be,1 +np.float64,0x7feaee869e35dd0c,0xbfd7b333a888cd14,1 +np.float64,0x7fcbd67f6137acfe,0xbfe15a7a15dfcee6,1 +np.float64,0x7fe36991e766d323,0xbfeb288077c4ed9f,1 +np.float64,0x7fdcf4f4fcb9e9e9,0xbfea331ef7a75e7b,1 +np.float64,0x7fbe3445643c688a,0x3fedf21b94ae8e37,1 +np.float64,0x7fd984cfd2b3099f,0x3fc0d3ade71c395e,1 +np.float64,0x7fdec987b23d930e,0x3fe4af5e48f6c26e,1 +np.float64,0x7fde56a9953cad52,0x3fc8e7762cefb8b0,1 +np.float64,0x7fd39fb446273f68,0xbfe6c3443208f44d,1 +np.float64,0x7fc609c1a72c1382,0x3fe884e639571baa,1 +np.float64,0x7fe001be4b20037c,0xbfed0d90cbcb6010,1 +np.float64,0x7fce7ace283cf59b,0xbfd0303792e51f49,1 +np.float64,0x7fe27ba93da4f751,0x3fe548b5ce740d71,1 +np.float64,0x7fcc13c79b38278e,0xbfe2e14f5b64a1e9,1 +np.float64,0x7fc058550620b0a9,0x3fe44bb55ebd0590,1 +np.float64,0x7fa4ba8bf8297517,0x3fee59b39f9d08c4,1 +np.float64,0x7fe50d6872ea1ad0,0xbfea1eaa2d059e13,1 +np.float64,0x7feb7e33b476fc66,0xbfeff28a4424dd3e,1 +np.float64,0x7fe2d7d2a165afa4,0xbfdbaff0ba1ea460,1 +np.float64,0xffd126654b224cca,0xbfef0cd3031fb97c,1 +np.float64,0xffb5f884942bf108,0x3fe0de589bea2e4c,1 +np.float64,0xffe011b4bfe02369,0xbfe805a0edf1e1f2,1 +np.float64,0xffec13eae9b827d5,0x3fb5f30347d78447,1 +np.float64,0xffa6552ae82caa50,0x3fb1ecee60135f2f,1 +np.float64,0xffb62d38b02c5a70,0x3fbd35903148fd12,1 +np.float64,0xffe2c44ea425889d,0xbfd7616547f99a7d,1 +np.float64,0xffea24c61a74498c,0x3fef4a1b15ae9005,1 +np.float64,0xffd23a4ab2a47496,0x3fe933bfaa569ae9,1 +np.float64,0xffc34a073d269410,0xbfeec0f510bb7474,1 +np.float64,0xffeead84cfbd5b09,0x3feb2d635e5a78bd,1 +np.float64,0xffcfd8f3b43fb1e8,0xbfdd59625801771b,1 +np.float64,0xffd3c7f662a78fec,0x3f9cf3209edfbc4e,1 +np.float64,0xffe7b7e4f72f6fca,0xbfefdcff4925632c,1 +np.float64,0xffe48cab05e91956,0x3fe6b41217948423,1 +np.float64,0xffeb6980b336d301,0xbfca5de148f69324,1 +np.float64,0xffe3f15c4aa7e2b8,0xbfeb18efae892081,1 +np.float64,0xffcf290c713e5218,0x3fefe6f1a513ed26,1 +np.float64,0xffd80979b43012f4,0xbfde6c8df91af976,1 +np.float64,0xffc3181e0026303c,0x3fe7448f681def38,1 +np.float64,0xffedfa68f97bf4d1,0xbfeca6efb802d109,1 +np.float64,0xffca0931c0341264,0x3fe31b9f073b08cd,1 +np.float64,0xffe4c44934e98892,0x3feda393a2e8a0f7,1 +np.float64,0xffe65bb56f2cb76a,0xbfeffaf638a4b73e,1 +np.float64,0xffe406a332a80d46,0x3fe8151dadb853c1,1 +np.float64,0xffdb7eae9c36fd5e,0xbfeff89abf5ab16e,1 +np.float64,0xffe245a02da48b40,0x3fef1fb43e85f4b8,1 +np.float64,0xffe2bafa732575f4,0x3fcbab115c6fd86e,1 +np.float64,0xffe8b1eedb7163dd,0x3feff263df6f6b12,1 +np.float64,0xffe6c76c796d8ed8,0xbfe61a8668511293,1 +np.float64,0xffefe327d1ffc64f,0xbfd9b92887a84827,1 +np.float64,0xffa452180c28a430,0xbfa9b9e578a4e52f,1 +np.float64,0xffe9867d0bf30cf9,0xbfca577867588408,1 +np.float64,0xffdfe9b923bfd372,0x3fdab5c15f085c2d,1 +np.float64,0xffed590c6abab218,0xbfd7e7b6c5a120e6,1 +np.float64,0xffeaebcfbab5d79f,0x3fed58be8a9e2c3b,1 +np.float64,0xffe2ba83a8257507,0x3fe6c42a4ac1d4d9,1 +np.float64,0xffe01d5b0ee03ab6,0xbfe5dad6c9247db7,1 +np.float64,0xffe51095d52a212b,0x3fef822cebc32d8e,1 +np.float64,0xffebd7a901b7af51,0xbfe5e63f3e3b1185,1 +np.float64,0xffe4efdcde29dfb9,0xbfe811294dfa758f,1 +np.float64,0xffe3be1aa4a77c35,0x3fdd8dcfcd409bb1,1 +np.float64,0xffbe6f2f763cde60,0x3fd13766e43bd622,1 +np.float64,0xffeed3d80fbda7af,0x3fec10a23c1b7a4a,1 +np.float64,0xffd6ebff37add7fe,0xbfe6177411607c86,1 +np.float64,0xffe85a90f4b0b521,0x3fc09fdd66c8fde9,1 +np.float64,0xffea3d58c2b47ab1,0x3feb5bd4a04b3562,1 +np.float64,0xffef675be6beceb7,0x3fecd840683d1044,1 +np.float64,0xff726a088024d400,0x3feff2b4f47b5214,1 +np.float64,0xffc90856733210ac,0xbfe3c6ffbf6840a5,1 +np.float64,0xffc0b58d9a216b1c,0xbfe10314267d0611,1 +np.float64,0xffee1f3d0abc3e79,0xbfd12ea7efea9067,1 +np.float64,0xffd988c41a331188,0x3febe83802d8a32e,1 +np.float64,0xffe8f1ac9bb1e358,0xbfdbf5fa7e84f2f2,1 +np.float64,0xffe47af279e8f5e4,0x3fef11e339e5fa78,1 +np.float64,0xff9960a7f832c140,0xbfa150363f8ec5b2,1 +np.float64,0xffcac40fa7358820,0xbfec3d5847a3df1d,1 +np.float64,0xffcb024a9d360494,0xbfd060fa31fd6b6a,1 +np.float64,0xffe385ffb3270bff,0xbfee6859e8dcd9e8,1 +np.float64,0xffef62f2c53ec5e5,0x3fe0a71ffddfc718,1 +np.float64,0xffed87ff20fb0ffd,0xbfe661db7c4098e3,1 +np.float64,0xffe369278526d24e,0x3fd64d89a41822fc,1 +np.float64,0xff950288c02a0520,0x3fe1df91d1ad7d5c,1 +np.float64,0xffe70e7c2cee1cf8,0x3fc9fece08df2fd8,1 +np.float64,0xffbaf020b635e040,0xbfc68c43ff9911a7,1 +np.float64,0xffee0120b0fc0240,0x3f9f792e17b490b0,1 +np.float64,0xffe1fa4be7a3f498,0xbfef4b18ab4b319e,1 +np.float64,0xffe61887bf2c310f,0x3fe846714826cb32,1 +np.float64,0xffdc3cf77f3879ee,0x3fe033b948a36125,1 +np.float64,0xffcc2b86f238570c,0xbfefdcceac3f220f,1 +np.float64,0xffe1f030c0a3e061,0x3fef502a808c359a,1 +np.float64,0xffb872c4ee30e588,0x3fef66ed8d3e6175,1 +np.float64,0xffeac8fc617591f8,0xbfe5d8448602aac9,1 +np.float64,0xffe5be16afab7c2d,0x3fee75ccde3cd14d,1 +np.float64,0xffae230ad83c4610,0xbfe49bbe6074d459,1 +np.float64,0xffc8fbeff531f7e0,0x3f77201e0c927f97,1 +np.float64,0xffdc314f48b8629e,0x3fef810dfc5db118,1 +np.float64,0xffec1f8970783f12,0x3fe15567102e042a,1 +np.float64,0xffc6995f902d32c0,0xbfecd5d2eedf342c,1 +np.float64,0xffdc7af76b38f5ee,0xbfd6e754476ab320,1 +np.float64,0xffb30cf8682619f0,0x3fd5ac3dfc4048d0,1 +np.float64,0xffd3a77695a74eee,0xbfefb5d6889e36e9,1 +np.float64,0xffd8b971803172e4,0xbfeb7f62f0b6c70b,1 +np.float64,0xffde4c0234bc9804,0xbfed50ba9e16d5e0,1 +np.float64,0xffb62b3f342c5680,0xbfeabc0de4069b84,1 +np.float64,0xff9af5674035eac0,0xbfed6c198b6b1bd8,1 +np.float64,0xffdfe20cb43fc41a,0x3fb11f8238f66306,1 +np.float64,0xffd2ecd7a0a5d9b0,0xbfec17ef1a62b1e3,1 +np.float64,0xffce60f7863cc1f0,0x3fe6dbcad3e3a006,1 +np.float64,0xffbbb8306a377060,0xbfbfd0fbef485c4c,1 +np.float64,0xffd1b2bd2b23657a,0xbfda3e046d987b99,1 +np.float64,0xffc480f4092901e8,0xbfeeff0427f6897b,1 +np.float64,0xffe6e02d926dc05a,0xbfcd59552778890b,1 +np.float64,0xffd302e5b7a605cc,0xbfee7c08641366b0,1 +np.float64,0xffec2eb92f785d72,0xbfef5c9c7f771050,1 +np.float64,0xffea3e31a9747c62,0xbfc49cd54755faf0,1 +np.float64,0xffce0a4e333c149c,0x3feeb9a6d0db4aee,1 +np.float64,0xffdc520a2db8a414,0x3fefc7b72613dcd0,1 +np.float64,0xffe056b968a0ad72,0xbfe47a9fe1f827fb,1 +np.float64,0xffe5a10f4cab421e,0x3fec2b1f74b73dec,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-sinh.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-sinh.csv new file mode 100644 index 0000000000000000000000000000000000000000..1ef7b6e76bfb49b093d8bf6c468bae208ec988e4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-sinh.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xfee27582,0xff800000,2 +np.float32,0xff19f092,0xff800000,2 +np.float32,0xbf393576,0xbf49cb31,2 +np.float32,0x8020fdea,0x8020fdea,2 +np.float32,0x455f4e,0x455f4e,2 +np.float32,0xff718c35,0xff800000,2 +np.float32,0x3f3215e3,0x3f40cce5,2 +np.float32,0x19e833,0x19e833,2 +np.float32,0xff2dcd49,0xff800000,2 +np.float32,0x7e8f6c95,0x7f800000,2 +np.float32,0xbf159dac,0xbf1e47a5,2 +np.float32,0x100d3d,0x100d3d,2 +np.float32,0xff673441,0xff800000,2 +np.float32,0x80275355,0x80275355,2 +np.float32,0x4812d0,0x4812d0,2 +np.float32,0x8072b956,0x8072b956,2 +np.float32,0xff3bb918,0xff800000,2 +np.float32,0x0,0x0,2 +np.float32,0xfe327798,0xff800000,2 +np.float32,0x41d4e2,0x41d4e2,2 +np.float32,0xfe34b1b8,0xff800000,2 +np.float32,0x80199f72,0x80199f72,2 +np.float32,0x807242ce,0x807242ce,2 +np.float32,0x3ef4202d,0x3efd7b48,2 +np.float32,0x763529,0x763529,2 +np.float32,0x4f6662,0x4f6662,2 +np.float32,0x3f18efe9,0x3f2232b5,2 +np.float32,0x80701846,0x80701846,2 +np.float32,0x3f599948,0x3f74c393,2 +np.float32,0x5a3d69,0x5a3d69,2 +np.float32,0xbf4a7e65,0xbf6047a3,2 +np.float32,0xff0d4c82,0xff800000,2 +np.float32,0x7a74db,0x7a74db,2 +np.float32,0x803388e6,0x803388e6,2 +np.float32,0x7f4430bb,0x7f800000,2 +np.float32,0x14c5b1,0x14c5b1,2 +np.float32,0xfa113400,0xff800000,2 +np.float32,0x7f4b3209,0x7f800000,2 +np.float32,0x8038d88c,0x8038d88c,2 +np.float32,0xbef2f9de,0xbefc330b,2 +np.float32,0xbe147b38,0xbe15008f,2 +np.float32,0x2b61e6,0x2b61e6,2 +np.float32,0x80000001,0x80000001,2 +np.float32,0x8060456c,0x8060456c,2 +np.float32,0x3f30fa82,0x3f3f6a99,2 +np.float32,0xfd1f0220,0xff800000,2 +np.float32,0xbf2b7555,0xbf389151,2 +np.float32,0xff100b7a,0xff800000,2 +np.float32,0x70d3cd,0x70d3cd,2 +np.float32,0x2a8d4a,0x2a8d4a,2 +np.float32,0xbf7b733f,0xbf92f05f,2 +np.float32,0x3f7106dc,0x3f8b1fc6,2 +np.float32,0x3f39da7a,0x3f4a9d79,2 +np.float32,0x3f5dd73f,0x3f7aaab5,2 +np.float32,0xbe8c8754,0xbe8e4cba,2 +np.float32,0xbf6c74c9,0xbf87c556,2 +np.float32,0x800efbbb,0x800efbbb,2 +np.float32,0xff054ab5,0xff800000,2 +np.float32,0x800b4b46,0x800b4b46,2 +np.float32,0xff77fd74,0xff800000,2 +np.float32,0x257d0,0x257d0,2 +np.float32,0x7caa0c,0x7caa0c,2 +np.float32,0x8025d24d,0x8025d24d,2 +np.float32,0x3d9f1b60,0x3d9f445c,2 +np.float32,0xbe3bf6e8,0xbe3d0595,2 +np.float32,0x54bb93,0x54bb93,2 +np.float32,0xbf3e6a45,0xbf507716,2 +np.float32,0x3f4bb26e,0x3f61e1cd,2 +np.float32,0x3f698edc,0x3f85aac5,2 +np.float32,0xff7bd0ef,0xff800000,2 +np.float32,0xbed07b68,0xbed64a8e,2 +np.float32,0xbf237c72,0xbf2ed3d2,2 +np.float32,0x27b0fa,0x27b0fa,2 +np.float32,0x3f7606d1,0x3f8ed7d6,2 +np.float32,0x790dc0,0x790dc0,2 +np.float32,0x7f68f3ac,0x7f800000,2 +np.float32,0xbed39288,0xbed9a52f,2 +np.float32,0x3f6f8266,0x3f8a0187,2 +np.float32,0x3fbdca,0x3fbdca,2 +np.float32,0xbf7c3e5d,0xbf938b2c,2 +np.float32,0x802321a8,0x802321a8,2 +np.float32,0x3eecab66,0x3ef53031,2 +np.float32,0x62b324,0x62b324,2 +np.float32,0x3f13afac,0x3f1c03fe,2 +np.float32,0xff315ad7,0xff800000,2 +np.float32,0xbf1fac0d,0xbf2a3a63,2 +np.float32,0xbf543984,0xbf6d61d6,2 +np.float32,0x71a212,0x71a212,2 +np.float32,0x114fbe,0x114fbe,2 +np.float32,0x3f5b6ff2,0x3f77505f,2 +np.float32,0xff6ff89e,0xff800000,2 +np.float32,0xff4527a1,0xff800000,2 +np.float32,0x22cb3,0x22cb3,2 +np.float32,0x7f53bb6b,0x7f800000,2 +np.float32,0xff3d2dea,0xff800000,2 +np.float32,0xfd21dac0,0xff800000,2 +np.float32,0xfc486140,0xff800000,2 +np.float32,0x7e2b693a,0x7f800000,2 +np.float32,0x8022a9fb,0x8022a9fb,2 +np.float32,0x80765de0,0x80765de0,2 +np.float32,0x13d299,0x13d299,2 +np.float32,0x7ee53713,0x7f800000,2 +np.float32,0xbde1c770,0xbde23c96,2 +np.float32,0xbd473fc0,0xbd4753de,2 +np.float32,0x3f1cb455,0x3f26acf3,2 +np.float32,0x683e49,0x683e49,2 +np.float32,0x3ed5a9fc,0x3edbeb79,2 +np.float32,0x3f4fe3f6,0x3f67814f,2 +np.float32,0x802a2bce,0x802a2bce,2 +np.float32,0x7e951b4c,0x7f800000,2 +np.float32,0xbe6eb260,0xbe70dd44,2 +np.float32,0xbe3daca8,0xbe3ec2cb,2 +np.float32,0xbe9c38b2,0xbe9ea822,2 +np.float32,0xff2e29dc,0xff800000,2 +np.float32,0x7f62c7cc,0x7f800000,2 +np.float32,0xbf6799a4,0xbf84416c,2 +np.float32,0xbe30a7f0,0xbe318898,2 +np.float32,0xc83d9,0xc83d9,2 +np.float32,0x3f05abf4,0x3f0bd447,2 +np.float32,0x7e9b018a,0x7f800000,2 +np.float32,0xbf0ed72e,0xbf165e5b,2 +np.float32,0x8011ac8c,0x8011ac8c,2 +np.float32,0xbeb7c706,0xbebbbfcb,2 +np.float32,0x803637f9,0x803637f9,2 +np.float32,0xfe787cc8,0xff800000,2 +np.float32,0x3f533d4b,0x3f6c0a50,2 +np.float32,0x3f5c0f1c,0x3f782dde,2 +np.float32,0x3f301f36,0x3f3e590d,2 +np.float32,0x2dc929,0x2dc929,2 +np.float32,0xff15018a,0xff800000,2 +np.float32,0x3f4d0c56,0x3f63afeb,2 +np.float32,0xbf7a2ae3,0xbf91f6e4,2 +np.float32,0xbe771b84,0xbe798346,2 +np.float32,0x80800000,0x80800000,2 +np.float32,0x7f5689ba,0x7f800000,2 +np.float32,0x3f1c3177,0x3f2610df,2 +np.float32,0x3f1b9664,0x3f255825,2 +np.float32,0x3f7e5066,0x3f9520d4,2 +np.float32,0xbf1935f8,0xbf2285ab,2 +np.float32,0x3f096cc7,0x3f101ef9,2 +np.float32,0x8030c180,0x8030c180,2 +np.float32,0x6627ed,0x6627ed,2 +np.float32,0x454595,0x454595,2 +np.float32,0x7de66a33,0x7f800000,2 +np.float32,0xbf800000,0xbf966cfe,2 +np.float32,0xbf35c0a8,0xbf456939,2 +np.float32,0x3f6a6266,0x3f8643e0,2 +np.float32,0x3f0cbcee,0x3f13ef6a,2 +np.float32,0x7efd1e58,0x7f800000,2 +np.float32,0xfe9a74c6,0xff800000,2 +np.float32,0x807ebe6c,0x807ebe6c,2 +np.float32,0x80656736,0x80656736,2 +np.float32,0x800e0608,0x800e0608,2 +np.float32,0xbf30e39a,0xbf3f4e00,2 +np.float32,0x802015fd,0x802015fd,2 +np.float32,0x3e3ce26d,0x3e3df519,2 +np.float32,0x7ec142ac,0x7f800000,2 +np.float32,0xbf68c9ce,0xbf851c78,2 +np.float32,0xfede8356,0xff800000,2 +np.float32,0xbf1507ce,0xbf1d978d,2 +np.float32,0x3e53914c,0x3e551374,2 +np.float32,0x7f3e1c14,0x7f800000,2 +np.float32,0x8070d2ba,0x8070d2ba,2 +np.float32,0xbf4eb793,0xbf65ecee,2 +np.float32,0x7365a6,0x7365a6,2 +np.float32,0x8045cba2,0x8045cba2,2 +np.float32,0x7e4af521,0x7f800000,2 +np.float32,0xbf228625,0xbf2da9e1,2 +np.float32,0x7ee0536c,0x7f800000,2 +np.float32,0x3e126607,0x3e12e5d5,2 +np.float32,0x80311d92,0x80311d92,2 +np.float32,0xbf386b8b,0xbf48ca54,2 +np.float32,0x7f800000,0x7f800000,2 +np.float32,0x8049ec7a,0x8049ec7a,2 +np.float32,0xbf1dfde4,0xbf2836be,2 +np.float32,0x7e719a8c,0x7f800000,2 +np.float32,0x3eb9c856,0x3ebde2e6,2 +np.float32,0xfe3efda8,0xff800000,2 +np.float32,0xbe89d60c,0xbe8b81d1,2 +np.float32,0x3eaad338,0x3eae0317,2 +np.float32,0x7f4e5217,0x7f800000,2 +np.float32,0x3e9d0f40,0x3e9f88ce,2 +np.float32,0xbe026708,0xbe02c155,2 +np.float32,0x5fc22f,0x5fc22f,2 +np.float32,0x1c4572,0x1c4572,2 +np.float32,0xbed89d96,0xbedf22c5,2 +np.float32,0xbf3debee,0xbf4fd441,2 +np.float32,0xbf465520,0xbf5ac6e5,2 +np.float32,0x3f797081,0x3f9169b3,2 +np.float32,0xbf250734,0xbf30b2aa,2 +np.float32,0x7f5068e9,0x7f800000,2 +np.float32,0x3f1b814e,0x3f253f0c,2 +np.float32,0xbf27c5d3,0xbf340b05,2 +np.float32,0x3f1b78ae,0x3f2534c8,2 +np.float32,0x8059b51a,0x8059b51a,2 +np.float32,0x8059f182,0x8059f182,2 +np.float32,0xbf1bb36e,0xbf257ab8,2 +np.float32,0x41ac35,0x41ac35,2 +np.float32,0x68f41f,0x68f41f,2 +np.float32,0xbea504dc,0xbea7e40f,2 +np.float32,0x1,0x1,2 +np.float32,0x3e96b5b0,0x3e98e542,2 +np.float32,0x7f7fffff,0x7f800000,2 +np.float32,0x3c557a80,0x3c557c0c,2 +np.float32,0x800ca3ec,0x800ca3ec,2 +np.float32,0x8077d4aa,0x8077d4aa,2 +np.float32,0x3f000af0,0x3f0572d6,2 +np.float32,0x3e0434dd,0x3e0492f8,2 +np.float32,0x7d1a710a,0x7f800000,2 +np.float32,0x3f70f996,0x3f8b15f8,2 +np.float32,0x8033391d,0x8033391d,2 +np.float32,0x11927c,0x11927c,2 +np.float32,0x7f7784be,0x7f800000,2 +np.float32,0x7acb22af,0x7f800000,2 +np.float32,0x7e8b153c,0x7f800000,2 +np.float32,0x66d402,0x66d402,2 +np.float32,0xfed6e7b0,0xff800000,2 +np.float32,0x7f6872d3,0x7f800000,2 +np.float32,0x1bd49c,0x1bd49c,2 +np.float32,0xfdc4f1b8,0xff800000,2 +np.float32,0xbed8a466,0xbedf2a33,2 +np.float32,0x7ee789,0x7ee789,2 +np.float32,0xbece94b4,0xbed43b52,2 +np.float32,0x3cf3f734,0x3cf4006f,2 +np.float32,0x7e44aa00,0x7f800000,2 +np.float32,0x7f19e99c,0x7f800000,2 +np.float32,0x806ff1bc,0x806ff1bc,2 +np.float32,0x80296934,0x80296934,2 +np.float32,0x7f463363,0x7f800000,2 +np.float32,0xbf212ac3,0xbf2c06bb,2 +np.float32,0x3dc63778,0x3dc686ba,2 +np.float32,0x7f1b4328,0x7f800000,2 +np.float32,0x6311f6,0x6311f6,2 +np.float32,0xbf6b6fb6,0xbf870751,2 +np.float32,0xbf2c44cf,0xbf399155,2 +np.float32,0x3e7a67bc,0x3e7ce887,2 +np.float32,0x7f57c5f7,0x7f800000,2 +np.float32,0x7f2bb4ff,0x7f800000,2 +np.float32,0xbe9d448e,0xbe9fc0a4,2 +np.float32,0xbf4840f0,0xbf5d4f6b,2 +np.float32,0x7f1e1176,0x7f800000,2 +np.float32,0xff76638e,0xff800000,2 +np.float32,0xff055555,0xff800000,2 +np.float32,0x3f32b82b,0x3f419834,2 +np.float32,0xff363aa8,0xff800000,2 +np.float32,0x7f737fd0,0x7f800000,2 +np.float32,0x3da5d798,0x3da60602,2 +np.float32,0x3f1cc126,0x3f26bc3e,2 +np.float32,0x7eb07541,0x7f800000,2 +np.float32,0x3f7b2ff2,0x3f92bd2a,2 +np.float32,0x474f7,0x474f7,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0xff2b0a4e,0xff800000,2 +np.float32,0xfeb24f16,0xff800000,2 +np.float32,0x2cb9fc,0x2cb9fc,2 +np.float32,0x67189d,0x67189d,2 +np.float32,0x8033d854,0x8033d854,2 +np.float32,0xbe85e94c,0xbe87717a,2 +np.float32,0x80767c6c,0x80767c6c,2 +np.float32,0x7ea84d65,0x7f800000,2 +np.float32,0x3f024bc7,0x3f07fead,2 +np.float32,0xbdcb0100,0xbdcb5625,2 +np.float32,0x3f160a9e,0x3f1ec7c9,2 +np.float32,0xff1734c8,0xff800000,2 +np.float32,0x7f424d5e,0x7f800000,2 +np.float32,0xbf75b215,0xbf8e9862,2 +np.float32,0x3f262a42,0x3f3214c4,2 +np.float32,0xbf4cfb53,0xbf639927,2 +np.float32,0x3f4ac8b8,0x3f60aa7c,2 +np.float32,0x3e90e593,0x3e92d6b3,2 +np.float32,0xbf66bccf,0xbf83a2d8,2 +np.float32,0x7d3d851a,0x7f800000,2 +np.float32,0x7bac783c,0x7f800000,2 +np.float32,0x8001c626,0x8001c626,2 +np.float32,0xbdffd480,0xbe003f7b,2 +np.float32,0x7f6680bf,0x7f800000,2 +np.float32,0xbecf448e,0xbed4f9bb,2 +np.float32,0x584c7,0x584c7,2 +np.float32,0x3f3e8ea0,0x3f50a5fb,2 +np.float32,0xbf5a5f04,0xbf75d56e,2 +np.float32,0x8065ae47,0x8065ae47,2 +np.float32,0xbf48dce3,0xbf5e1dba,2 +np.float32,0xbe8dae2e,0xbe8f7ed8,2 +np.float32,0x3f7ca6ab,0x3f93dace,2 +np.float32,0x4c3e81,0x4c3e81,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0x3ee1f7d9,0x3ee96033,2 +np.float32,0x80588c6f,0x80588c6f,2 +np.float32,0x5ba34e,0x5ba34e,2 +np.float32,0x80095d28,0x80095d28,2 +np.float32,0xbe7ba198,0xbe7e2bdd,2 +np.float32,0xbe0bdcb4,0xbe0c4c22,2 +np.float32,0x1776f7,0x1776f7,2 +np.float32,0x80328b2a,0x80328b2a,2 +np.float32,0x3e978d37,0x3e99c63e,2 +np.float32,0x7ed50906,0x7f800000,2 +np.float32,0x3f776a54,0x3f8fe2bd,2 +np.float32,0xbed624c4,0xbedc7120,2 +np.float32,0x7f0b6a31,0x7f800000,2 +np.float32,0x7eb13913,0x7f800000,2 +np.float32,0xbe733684,0xbe758190,2 +np.float32,0x80016474,0x80016474,2 +np.float32,0x7a51ee,0x7a51ee,2 +np.float32,0x3f6cb91e,0x3f87f729,2 +np.float32,0xbd99b050,0xbd99d540,2 +np.float32,0x7c6e3cba,0x7f800000,2 +np.float32,0xbf00179a,0xbf05811e,2 +np.float32,0x3e609b29,0x3e626954,2 +np.float32,0xff3fd71a,0xff800000,2 +np.float32,0x5d8c2,0x5d8c2,2 +np.float32,0x7ee93662,0x7f800000,2 +np.float32,0x4b0b31,0x4b0b31,2 +np.float32,0x3ec243b7,0x3ec6f594,2 +np.float32,0x804d60f1,0x804d60f1,2 +np.float32,0xbf0cb784,0xbf13e929,2 +np.float32,0x3f13b74d,0x3f1c0cee,2 +np.float32,0xfe37cb64,0xff800000,2 +np.float32,0x1a88,0x1a88,2 +np.float32,0x3e22a472,0x3e2353ba,2 +np.float32,0x7f07d6a0,0x7f800000,2 +np.float32,0x3f78f435,0x3f910bb5,2 +np.float32,0x555a4a,0x555a4a,2 +np.float32,0x3e306c1f,0x3e314be3,2 +np.float32,0x8005877c,0x8005877c,2 +np.float32,0x4df389,0x4df389,2 +np.float32,0x8069ffc7,0x8069ffc7,2 +np.float32,0x3f328f24,0x3f4164c6,2 +np.float32,0x53a31b,0x53a31b,2 +np.float32,0xbe4d6768,0xbe4ec8be,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0x3f484c1b,0x3f5d5e2f,2 +np.float32,0x8038be05,0x8038be05,2 +np.float32,0x58ac0f,0x58ac0f,2 +np.float32,0x7ed7fb72,0x7f800000,2 +np.float32,0x5a22e1,0x5a22e1,2 +np.float32,0xbebb7394,0xbebfaad6,2 +np.float32,0xbda98160,0xbda9b2ef,2 +np.float32,0x7f3e5c42,0x7f800000,2 +np.float32,0xfed204ae,0xff800000,2 +np.float32,0xbf5ef782,0xbf7c3ec5,2 +np.float32,0xbef7a0a8,0xbf00b292,2 +np.float32,0xfee6e176,0xff800000,2 +np.float32,0xfe121140,0xff800000,2 +np.float32,0xfe9e13be,0xff800000,2 +np.float32,0xbf3c98b1,0xbf4e2003,2 +np.float32,0x77520d,0x77520d,2 +np.float32,0xf17b2,0xf17b2,2 +np.float32,0x724d2f,0x724d2f,2 +np.float32,0x7eb326f5,0x7f800000,2 +np.float32,0x3edd6bf2,0x3ee4636e,2 +np.float32,0x350f57,0x350f57,2 +np.float32,0xff7d4435,0xff800000,2 +np.float32,0x802b2b9d,0x802b2b9d,2 +np.float32,0xbf7fbeee,0xbf963acf,2 +np.float32,0x804f3100,0x804f3100,2 +np.float32,0x7c594a71,0x7f800000,2 +np.float32,0x3ef49340,0x3efdfbb6,2 +np.float32,0x2e0659,0x2e0659,2 +np.float32,0x8006d5fe,0x8006d5fe,2 +np.float32,0xfd2a00b0,0xff800000,2 +np.float32,0xbee1c016,0xbee922ed,2 +np.float32,0x3e3b7de8,0x3e3c8a8b,2 +np.float32,0x805e6bba,0x805e6bba,2 +np.float32,0x1a7da2,0x1a7da2,2 +np.float32,0x6caba4,0x6caba4,2 +np.float32,0x802f7eab,0x802f7eab,2 +np.float32,0xff68b16b,0xff800000,2 +np.float32,0x8064f5e5,0x8064f5e5,2 +np.float32,0x2e39b4,0x2e39b4,2 +np.float32,0x800000,0x800000,2 +np.float32,0xfd0334c0,0xff800000,2 +np.float32,0x3e952fc4,0x3e974e7e,2 +np.float32,0x80057d33,0x80057d33,2 +np.float32,0x3ed3ddc4,0x3ed9f6f1,2 +np.float32,0x3f74ce18,0x3f8dedf4,2 +np.float32,0xff6bb7c0,0xff800000,2 +np.float32,0xff43bc21,0xff800000,2 +np.float32,0x80207570,0x80207570,2 +np.float32,0x7e1dda75,0x7f800000,2 +np.float32,0x3efe335c,0x3f0462ff,2 +np.float32,0xbf252c0c,0xbf30df70,2 +np.float32,0x3ef4b8e3,0x3efe25ba,2 +np.float32,0x7c33938d,0x7f800000,2 +np.float32,0x3eb1593c,0x3eb4ea95,2 +np.float32,0xfe1d0068,0xff800000,2 +np.float32,0xbf10da9b,0xbf18b551,2 +np.float32,0xfeb65748,0xff800000,2 +np.float32,0xfe8c6014,0xff800000,2 +np.float32,0x3f0503e2,0x3f0b14e3,2 +np.float32,0xfe5e5248,0xff800000,2 +np.float32,0xbd10afa0,0xbd10b754,2 +np.float32,0xff64b609,0xff800000,2 +np.float32,0xbf674a96,0xbf84089c,2 +np.float32,0x7f5d200d,0x7f800000,2 +np.float32,0x3cf44900,0x3cf45245,2 +np.float32,0x8044445a,0x8044445a,2 +np.float32,0xff35b676,0xff800000,2 +np.float32,0x806452cd,0x806452cd,2 +np.float32,0xbf2930fb,0xbf35c7b4,2 +np.float32,0x7e500617,0x7f800000,2 +np.float32,0x543719,0x543719,2 +np.float32,0x3ed11068,0x3ed6ec1d,2 +np.float32,0xbd8db068,0xbd8dcd59,2 +np.float32,0x3ede62c8,0x3ee571d0,2 +np.float32,0xbf00a410,0xbf061f9c,2 +np.float32,0xbf44fa39,0xbf58ff5b,2 +np.float32,0x3f1c3114,0x3f261069,2 +np.float32,0xbdea6210,0xbdeae521,2 +np.float32,0x80059f6d,0x80059f6d,2 +np.float32,0xbdba15f8,0xbdba578c,2 +np.float32,0x6d8a61,0x6d8a61,2 +np.float32,0x6f5428,0x6f5428,2 +np.float32,0x18d0e,0x18d0e,2 +np.float32,0x50e131,0x50e131,2 +np.float32,0x3f2f52be,0x3f3d5a7e,2 +np.float32,0x7399d8,0x7399d8,2 +np.float32,0x106524,0x106524,2 +np.float32,0x7ebf1c53,0x7f800000,2 +np.float32,0x80276458,0x80276458,2 +np.float32,0x3ebbde67,0x3ec01ceb,2 +np.float32,0x80144d9d,0x80144d9d,2 +np.float32,0x8017ea6b,0x8017ea6b,2 +np.float32,0xff38f201,0xff800000,2 +np.float32,0x7f2daa82,0x7f800000,2 +np.float32,0x3f3cb7c7,0x3f4e47ed,2 +np.float32,0x7f08c779,0x7f800000,2 +np.float32,0xbecc907a,0xbed20cec,2 +np.float32,0x7d440002,0x7f800000,2 +np.float32,0xbd410d80,0xbd411fcd,2 +np.float32,0x3d63ae07,0x3d63cc0c,2 +np.float32,0x805a9c13,0x805a9c13,2 +np.float32,0x803bdcdc,0x803bdcdc,2 +np.float32,0xbe88b354,0xbe8a5497,2 +np.float32,0x3f4eaf43,0x3f65e1c2,2 +np.float32,0x3f15e5b8,0x3f1e9c60,2 +np.float32,0x3e8a870c,0x3e8c394e,2 +np.float32,0x7e113de9,0x7f800000,2 +np.float32,0x7ee5ba41,0x7f800000,2 +np.float32,0xbe73d178,0xbe7620eb,2 +np.float32,0xfe972e6a,0xff800000,2 +np.float32,0xbf65567d,0xbf82a25a,2 +np.float32,0x3f38247e,0x3f487010,2 +np.float32,0xbece1c62,0xbed3b918,2 +np.float32,0x442c8d,0x442c8d,2 +np.float32,0x2dc52,0x2dc52,2 +np.float32,0x802ed923,0x802ed923,2 +np.float32,0x788cf8,0x788cf8,2 +np.float32,0x8024888e,0x8024888e,2 +np.float32,0x3f789bde,0x3f90c8fc,2 +np.float32,0x3f5de620,0x3f7abf88,2 +np.float32,0x3f0ffc45,0x3f17b2a7,2 +np.float32,0xbf709678,0xbf8accd4,2 +np.float32,0x12181f,0x12181f,2 +np.float32,0xfe54bbe4,0xff800000,2 +np.float32,0x7f1daba0,0x7f800000,2 +np.float32,0xbf6226df,0xbf805e3c,2 +np.float32,0xbd120610,0xbd120dfb,2 +np.float32,0x7f75e951,0x7f800000,2 +np.float32,0x80068048,0x80068048,2 +np.float32,0x45f04a,0x45f04a,2 +np.float32,0xff4c4f58,0xff800000,2 +np.float32,0x311604,0x311604,2 +np.float32,0x805e809c,0x805e809c,2 +np.float32,0x3d1d62c0,0x3d1d6caa,2 +np.float32,0x7f14ccf9,0x7f800000,2 +np.float32,0xff10017c,0xff800000,2 +np.float32,0xbf43ec48,0xbf579df4,2 +np.float32,0xff64da57,0xff800000,2 +np.float32,0x7f0622c5,0x7f800000,2 +np.float32,0x7f5460cd,0x7f800000,2 +np.float32,0xff0ef1c6,0xff800000,2 +np.float32,0xbece1146,0xbed3ad13,2 +np.float32,0x3f4d457f,0x3f63fc70,2 +np.float32,0xbdc1da28,0xbdc2244b,2 +np.float32,0xbe46d3f4,0xbe481463,2 +np.float32,0xff36b3d6,0xff800000,2 +np.float32,0xbec2e76c,0xbec7a540,2 +np.float32,0x8078fb81,0x8078fb81,2 +np.float32,0x7ec819cb,0x7f800000,2 +np.float32,0x39c4d,0x39c4d,2 +np.float32,0xbe8cddc2,0xbe8ea670,2 +np.float32,0xbf36dffb,0xbf46d48b,2 +np.float32,0xbf2302a3,0xbf2e4065,2 +np.float32,0x3e7b34a2,0x3e7dbb9a,2 +np.float32,0x3e3d87e1,0x3e3e9d62,2 +np.float32,0x7f3c94b1,0x7f800000,2 +np.float32,0x80455a85,0x80455a85,2 +np.float32,0xfd875568,0xff800000,2 +np.float32,0xbf618103,0xbf7fd1c8,2 +np.float32,0xbe332e3c,0xbe3418ac,2 +np.float32,0x80736b79,0x80736b79,2 +np.float32,0x3f705d9a,0x3f8aa2e6,2 +np.float32,0xbf3a36d2,0xbf4b134b,2 +np.float32,0xfddc55c0,0xff800000,2 +np.float32,0x805606fd,0x805606fd,2 +np.float32,0x3f4f0bc4,0x3f665e25,2 +np.float32,0xfebe7494,0xff800000,2 +np.float32,0xff0c541b,0xff800000,2 +np.float32,0xff0b8e7f,0xff800000,2 +np.float32,0xbcc51640,0xbcc51b1e,2 +np.float32,0x7ec1c4d0,0x7f800000,2 +np.float32,0xfc5c8e00,0xff800000,2 +np.float32,0x7f48d682,0x7f800000,2 +np.float32,0x7d5c7d8d,0x7f800000,2 +np.float32,0x8052ed03,0x8052ed03,2 +np.float32,0x7d4db058,0x7f800000,2 +np.float32,0xff3a65ee,0xff800000,2 +np.float32,0x806eeb93,0x806eeb93,2 +np.float32,0x803f9733,0x803f9733,2 +np.float32,0xbf2d1388,0xbf3a90e3,2 +np.float32,0x68e260,0x68e260,2 +np.float32,0x3e47a69f,0x3e48eb0e,2 +np.float32,0x3f0c4623,0x3f136646,2 +np.float32,0x3f37a831,0x3f47d249,2 +np.float32,0xff153a0c,0xff800000,2 +np.float32,0x2e8086,0x2e8086,2 +np.float32,0xc3f5e,0xc3f5e,2 +np.float32,0x7f31dc14,0x7f800000,2 +np.float32,0xfee37d68,0xff800000,2 +np.float32,0x711d4,0x711d4,2 +np.float32,0x7ede2ce4,0x7f800000,2 +np.float32,0xbf5d76d0,0xbf7a23d0,2 +np.float32,0xbe2b9eb4,0xbe2c6cac,2 +np.float32,0x2b14d7,0x2b14d7,2 +np.float32,0x3ea1db72,0x3ea4910e,2 +np.float32,0x7f3f03f7,0x7f800000,2 +np.float32,0x92de5,0x92de5,2 +np.float32,0x80322e1b,0x80322e1b,2 +np.float32,0xbf5eb214,0xbf7bdd55,2 +np.float32,0xbf21bf87,0xbf2cba14,2 +np.float32,0xbf5d4b78,0xbf79e73a,2 +np.float32,0xbc302840,0xbc30291e,2 +np.float32,0xfee567c6,0xff800000,2 +np.float32,0x7f70ee14,0x7f800000,2 +np.float32,0x7e5c4b33,0x7f800000,2 +np.float32,0x3f1e7b64,0x3f28ccfd,2 +np.float32,0xbf6309f7,0xbf80ff3e,2 +np.float32,0x1c2fe3,0x1c2fe3,2 +np.float32,0x8e78d,0x8e78d,2 +np.float32,0x7f2fce73,0x7f800000,2 +np.float32,0x7f25f690,0x7f800000,2 +np.float32,0x8074cba5,0x8074cba5,2 +np.float32,0x16975f,0x16975f,2 +np.float32,0x8012cf5c,0x8012cf5c,2 +np.float32,0x7da72138,0x7f800000,2 +np.float32,0xbf563f35,0xbf7025be,2 +np.float32,0x3f69d3f5,0x3f85dcbe,2 +np.float32,0xbf15c148,0xbf1e7184,2 +np.float32,0xbe7a077c,0xbe7c8564,2 +np.float32,0x3ebb6ef1,0x3ebfa5e3,2 +np.float32,0xbe41fde4,0xbe43277b,2 +np.float32,0x7f10b479,0x7f800000,2 +np.float32,0x3e021ace,0x3e02747d,2 +np.float32,0x3e93d984,0x3e95e9be,2 +np.float32,0xfe17e924,0xff800000,2 +np.float32,0xfe21a7cc,0xff800000,2 +np.float32,0x8019b660,0x8019b660,2 +np.float32,0x7e954631,0x7f800000,2 +np.float32,0x7e7330d1,0x7f800000,2 +np.float32,0xbe007d98,0xbe00d3fb,2 +np.float32,0x3ef3870e,0x3efcd077,2 +np.float32,0x7f5bbde8,0x7f800000,2 +np.float32,0x14a5b3,0x14a5b3,2 +np.float32,0x3e84d23f,0x3e8650e8,2 +np.float32,0x80763017,0x80763017,2 +np.float32,0xfe871f36,0xff800000,2 +np.float32,0x7ed43150,0x7f800000,2 +np.float32,0x3cc44547,0x3cc44a16,2 +np.float32,0x3ef0c0fa,0x3ef9b97d,2 +np.float32,0xbede9944,0xbee5ad86,2 +np.float32,0xbf10f0b2,0xbf18cf0a,2 +np.float32,0x3ecdaa78,0x3ed33dd9,2 +np.float32,0x3f7cc058,0x3f93ee6b,2 +np.float32,0x2d952f,0x2d952f,2 +np.float32,0x3f2cf2de,0x3f3a687a,2 +np.float32,0x8029b33c,0x8029b33c,2 +np.float32,0xbf22c737,0xbf2df888,2 +np.float32,0xff53c84a,0xff800000,2 +np.float32,0x40a509,0x40a509,2 +np.float32,0x56abce,0x56abce,2 +np.float32,0xff7fffff,0xff800000,2 +np.float32,0xbf3e67f6,0xbf50741c,2 +np.float32,0xfde67580,0xff800000,2 +np.float32,0x3f103e9b,0x3f17ffc7,2 +np.float32,0x3f3f7232,0x3f51cbe2,2 +np.float32,0x803e6d78,0x803e6d78,2 +np.float32,0x3a61da,0x3a61da,2 +np.float32,0xbc04de80,0xbc04dedf,2 +np.float32,0x7f1e7c52,0x7f800000,2 +np.float32,0x8058ee88,0x8058ee88,2 +np.float32,0x806dd660,0x806dd660,2 +np.float32,0x7e4af9,0x7e4af9,2 +np.float32,0x80702d27,0x80702d27,2 +np.float32,0x802cdad1,0x802cdad1,2 +np.float32,0x3e9b5c23,0x3e9dc149,2 +np.float32,0x7f076e89,0x7f800000,2 +np.float32,0x7f129d68,0x7f800000,2 +np.float32,0x7f6f0b0a,0x7f800000,2 +np.float32,0x7eafafb5,0x7f800000,2 +np.float32,0xbf2ef2ca,0xbf3ce332,2 +np.float32,0xff34c000,0xff800000,2 +np.float32,0x7f559274,0x7f800000,2 +np.float32,0xfed08556,0xff800000,2 +np.float32,0xbf014621,0xbf06d6ad,2 +np.float32,0xff23086a,0xff800000,2 +np.float32,0x6cb33f,0x6cb33f,2 +np.float32,0xfe6e3ffc,0xff800000,2 +np.float32,0x3e6bbec0,0x3e6dd546,2 +np.float32,0x8036afa6,0x8036afa6,2 +np.float32,0xff800000,0xff800000,2 +np.float32,0x3e0ed05c,0x3e0f46ff,2 +np.float32,0x3ec9215c,0x3ece57e6,2 +np.float32,0xbf449fa4,0xbf5888aa,2 +np.float32,0xff2c6640,0xff800000,2 +np.float32,0x7f08f4a7,0x7f800000,2 +np.float32,0xbf4f63e5,0xbf66d4c1,2 +np.float32,0x3f800000,0x3f966cfe,2 +np.float32,0xfe86c7d2,0xff800000,2 +np.float32,0x3f63f969,0x3f81a970,2 +np.float32,0xbd7022d0,0xbd704609,2 +np.float32,0xbead906c,0xbeb0e853,2 +np.float32,0x7ef149ee,0x7f800000,2 +np.float32,0xff0b9ff7,0xff800000,2 +np.float32,0x3f38380d,0x3f4888e7,2 +np.float32,0x3ef3a3e2,0x3efcf09e,2 +np.float32,0xff616477,0xff800000,2 +np.float32,0x3f3f83e4,0x3f51e2c3,2 +np.float32,0xbf79963c,0xbf918642,2 +np.float32,0x801416f4,0x801416f4,2 +np.float32,0xff75ce6d,0xff800000,2 +np.float32,0xbdbf3588,0xbdbf7cad,2 +np.float32,0xbe6ea938,0xbe70d3dc,2 +np.float32,0x8066f977,0x8066f977,2 +np.float32,0x3f5b5362,0x3f7728aa,2 +np.float32,0xbf72052c,0xbf8bdbd8,2 +np.float32,0xbe21ed74,0xbe229a6f,2 +np.float32,0x8062d19c,0x8062d19c,2 +np.float32,0x3ed8d01f,0x3edf59e6,2 +np.float32,0x803ed42b,0x803ed42b,2 +np.float32,0xbe099a64,0xbe0a0481,2 +np.float32,0xbe173eb4,0xbe17cba2,2 +np.float32,0xbebdcf02,0xbec22faf,2 +np.float32,0x7e3ff29e,0x7f800000,2 +np.float32,0x367c92,0x367c92,2 +np.float32,0xbf5c9db8,0xbf78f4a4,2 +np.float32,0xff0b49ea,0xff800000,2 +np.float32,0x3f4f9bc4,0x3f672001,2 +np.float32,0x85d4a,0x85d4a,2 +np.float32,0x80643e33,0x80643e33,2 +np.float32,0x8013aabd,0x8013aabd,2 +np.float32,0xff6997c3,0xff800000,2 +np.float32,0x3f4dd43c,0x3f64bbb6,2 +np.float32,0xff13bbb9,0xff800000,2 +np.float32,0x3f34efa2,0x3f446187,2 +np.float32,0x3e4b2f10,0x3e4c850d,2 +np.float32,0xfef695c6,0xff800000,2 +np.float32,0x7f7e0057,0x7f800000,2 +np.float32,0x3f6e1b9c,0x3f88fa40,2 +np.float32,0x806e46cf,0x806e46cf,2 +np.float32,0x3f15a88a,0x3f1e546c,2 +np.float32,0xbd2de7d0,0xbd2df530,2 +np.float32,0xbf63cae0,0xbf818854,2 +np.float32,0xbdc3e1a0,0xbdc42e1e,2 +np.float32,0xbf11a038,0xbf199b98,2 +np.float32,0xbec13706,0xbec5d56b,2 +np.float32,0x3f1c5f54,0x3f26478d,2 +np.float32,0x3e9ea97e,0x3ea136b4,2 +np.float32,0xfeb5a508,0xff800000,2 +np.float32,0x7f4698f4,0x7f800000,2 +np.float32,0xff51ee2c,0xff800000,2 +np.float32,0xff5994df,0xff800000,2 +np.float32,0x4b9fb9,0x4b9fb9,2 +np.float32,0xfda10d98,0xff800000,2 +np.float32,0x525555,0x525555,2 +np.float32,0x7ed571ef,0x7f800000,2 +np.float32,0xbf600d18,0xbf7dc50c,2 +np.float32,0x3ec674ca,0x3ecb768b,2 +np.float32,0x3cb69115,0x3cb694f3,2 +np.float32,0x7eac75f2,0x7f800000,2 +np.float32,0x804d4d75,0x804d4d75,2 +np.float32,0xfed5292e,0xff800000,2 +np.float32,0x800ed06a,0x800ed06a,2 +np.float32,0xfec37584,0xff800000,2 +np.float32,0x3ef96ac7,0x3f01b326,2 +np.float32,0x42f743,0x42f743,2 +np.float32,0x3f56f442,0x3f711e39,2 +np.float32,0xbf7ea726,0xbf956375,2 +np.float32,0x806c7202,0x806c7202,2 +np.float32,0xbd8ee980,0xbd8f0733,2 +np.float32,0xbdf2e930,0xbdf37b18,2 +np.float32,0x3f103910,0x3f17f955,2 +np.float32,0xff123e8f,0xff800000,2 +np.float32,0x806e4b5d,0x806e4b5d,2 +np.float32,0xbf4f3bfc,0xbf669f07,2 +np.float32,0xbf070c16,0xbf0d6609,2 +np.float32,0xff00e0ba,0xff800000,2 +np.float32,0xff49d828,0xff800000,2 +np.float32,0x7e47f04a,0x7f800000,2 +np.float32,0x7e984dac,0x7f800000,2 +np.float32,0x3f77473c,0x3f8fc858,2 +np.float32,0x3f017439,0x3f070ac8,2 +np.float32,0x118417,0x118417,2 +np.float32,0xbcf7a2c0,0xbcf7ac68,2 +np.float32,0xfee46fee,0xff800000,2 +np.float32,0x3e42a648,0x3e43d2e9,2 +np.float32,0x80131916,0x80131916,2 +np.float32,0x806209d3,0x806209d3,2 +np.float32,0x807c1f12,0x807c1f12,2 +np.float32,0x2f3696,0x2f3696,2 +np.float32,0xff28722b,0xff800000,2 +np.float32,0x7f1416a1,0x7f800000,2 +np.float32,0x8054e7a1,0x8054e7a1,2 +np.float32,0xbddc39a0,0xbddca656,2 +np.float32,0x7dc60175,0x7f800000,2 +np.float64,0x7fd0ae584da15cb0,0x7ff0000000000000,1 +np.float64,0x7fd41d68e5283ad1,0x7ff0000000000000,1 +np.float64,0x7fe93073bb7260e6,0x7ff0000000000000,1 +np.float64,0x3fb4fd19d229fa34,0x3fb5031f57dbac0f,1 +np.float64,0x85609ce10ac2,0x85609ce10ac2,1 +np.float64,0xbfd7aa12ccaf5426,0xbfd8351003a320e2,1 +np.float64,0x8004487c9b4890fa,0x8004487c9b4890fa,1 +np.float64,0x7fe7584cfd2eb099,0x7ff0000000000000,1 +np.float64,0x800ea8edc6dd51dc,0x800ea8edc6dd51dc,1 +np.float64,0x3fe0924aa5a12495,0x3fe15276e271c6dc,1 +np.float64,0x3feb1abf6d36357f,0x3fee76b4d3d06964,1 +np.float64,0x3fa8c14534318280,0x3fa8c3bd5ce5923c,1 +np.float64,0x800b9f5915d73eb3,0x800b9f5915d73eb3,1 +np.float64,0xffc05aaa7820b554,0xfff0000000000000,1 +np.float64,0x800157eda8c2afdc,0x800157eda8c2afdc,1 +np.float64,0xffe8d90042b1b200,0xfff0000000000000,1 +np.float64,0x3feda02ea93b405d,0x3ff1057e61d08d59,1 +np.float64,0xffd03b7361a076e6,0xfff0000000000000,1 +np.float64,0x3fe1a8ecd7e351da,0x3fe291eda9080847,1 +np.float64,0xffc5bfdff82b7fc0,0xfff0000000000000,1 +np.float64,0xbfe6fb3d386df67a,0xbfe9022c05df0565,1 +np.float64,0x7fefffffffffffff,0x7ff0000000000000,1 +np.float64,0x7fa10c340c221867,0x7ff0000000000000,1 +np.float64,0x3fe55cbf1daab97e,0x3fe6fc1648258b75,1 +np.float64,0xbfddeb5f60bbd6be,0xbfdf056d4fb5825f,1 +np.float64,0xffddb1a8213b6350,0xfff0000000000000,1 +np.float64,0xbfb20545e4240a88,0xbfb2091579375176,1 +np.float64,0x3f735ded2026bbda,0x3f735df1dad4ee3a,1 +np.float64,0xbfd1eb91efa3d724,0xbfd227c044dead61,1 +np.float64,0xffd737c588ae6f8c,0xfff0000000000000,1 +np.float64,0x3fc46818ec28d032,0x3fc47e416c4237a6,1 +np.float64,0x0,0x0,1 +np.float64,0xffb632097a2c6410,0xfff0000000000000,1 +np.float64,0xbfcb5ae84b36b5d0,0xbfcb905613af55b8,1 +np.float64,0xbfe7b926402f724c,0xbfe9f4f0be6aacc3,1 +np.float64,0x80081840b3f03082,0x80081840b3f03082,1 +np.float64,0x3fe767a656eecf4d,0x3fe98c53b4779de7,1 +np.float64,0x8005834c088b0699,0x8005834c088b0699,1 +np.float64,0x80074e92658e9d26,0x80074e92658e9d26,1 +np.float64,0x80045d60c268bac2,0x80045d60c268bac2,1 +np.float64,0xffb9aecfe8335da0,0xfff0000000000000,1 +np.float64,0x7fcad3e1cd35a7c3,0x7ff0000000000000,1 +np.float64,0xbf881853d03030c0,0xbf8818783e28fc87,1 +np.float64,0xe18c6d23c318e,0xe18c6d23c318e,1 +np.float64,0x7fcb367b8f366cf6,0x7ff0000000000000,1 +np.float64,0x5c13436cb8269,0x5c13436cb8269,1 +np.float64,0xffe5399938aa7332,0xfff0000000000000,1 +np.float64,0xbfdc45dbc3b88bb8,0xbfdd33958222c27e,1 +np.float64,0xbfd714691bae28d2,0xbfd7954edbef810b,1 +np.float64,0xbfdf18b02b3e3160,0xbfe02ad13634c651,1 +np.float64,0x8003e6f276e7cde6,0x8003e6f276e7cde6,1 +np.float64,0x3febb6b412776d68,0x3fef4f753def31f9,1 +np.float64,0x7fe016a3b4a02d46,0x7ff0000000000000,1 +np.float64,0x3fdc899ac7b91336,0x3fdd7e1cee1cdfc8,1 +np.float64,0x800219271e24324f,0x800219271e24324f,1 +np.float64,0x1529d93e2a53c,0x1529d93e2a53c,1 +np.float64,0x800d5bc827fab790,0x800d5bc827fab790,1 +np.float64,0x3e1495107c293,0x3e1495107c293,1 +np.float64,0x3fe89da0f2b13b42,0x3feb1dc1f3015ad7,1 +np.float64,0x800ba8c17b975183,0x800ba8c17b975183,1 +np.float64,0x8002dacf0265b59f,0x8002dacf0265b59f,1 +np.float64,0xffe6d0a4cc2da149,0xfff0000000000000,1 +np.float64,0x3fdf23fe82be47fc,0x3fe03126d8e2b309,1 +np.float64,0xffe41b1f1c28363e,0xfff0000000000000,1 +np.float64,0xbfd635c634ac6b8c,0xbfd6a8966da6adaa,1 +np.float64,0x800755bc08eeab79,0x800755bc08eeab79,1 +np.float64,0x800ba4c47c374989,0x800ba4c47c374989,1 +np.float64,0x7fec9f7649793eec,0x7ff0000000000000,1 +np.float64,0x7fdbf45738b7e8ad,0x7ff0000000000000,1 +np.float64,0x3f5597f07eab4,0x3f5597f07eab4,1 +np.float64,0xbfbf4599183e8b30,0xbfbf5985d8c65097,1 +np.float64,0xbf5b200580364000,0xbf5b2006501b21ae,1 +np.float64,0x7f91868370230d06,0x7ff0000000000000,1 +np.float64,0x3838e2a67071d,0x3838e2a67071d,1 +np.float64,0xffefe3ff5d3fc7fe,0xfff0000000000000,1 +np.float64,0xffe66b26d06cd64d,0xfff0000000000000,1 +np.float64,0xbfd830a571b0614a,0xbfd8c526927c742c,1 +np.float64,0x7fe8442122f08841,0x7ff0000000000000,1 +np.float64,0x800efa8c637df519,0x800efa8c637df519,1 +np.float64,0xf0026835e004d,0xf0026835e004d,1 +np.float64,0xffb11beefe2237e0,0xfff0000000000000,1 +np.float64,0x3fef9bbb327f3776,0x3ff2809f10641c32,1 +np.float64,0x350595306a0b3,0x350595306a0b3,1 +np.float64,0xf7f6538befecb,0xf7f6538befecb,1 +np.float64,0xffe36379c4a6c6f3,0xfff0000000000000,1 +np.float64,0x28b1d82e5163c,0x28b1d82e5163c,1 +np.float64,0x70a3d804e147c,0x70a3d804e147c,1 +np.float64,0xffd96c1bc9b2d838,0xfff0000000000000,1 +np.float64,0xffce8e00893d1c00,0xfff0000000000000,1 +np.float64,0x800f2bdcb25e57b9,0x800f2bdcb25e57b9,1 +np.float64,0xbfe0d9c63361b38c,0xbfe1a3eb02192b76,1 +np.float64,0xbfdc7b8711b8f70e,0xbfdd6e9db3a01e51,1 +np.float64,0x99e22ec133c46,0x99e22ec133c46,1 +np.float64,0xffeaef6ddab5dedb,0xfff0000000000000,1 +np.float64,0x7fe89c22c0f13845,0x7ff0000000000000,1 +np.float64,0x8002d5207de5aa42,0x8002d5207de5aa42,1 +np.float64,0x3fd1b13353236267,0x3fd1eb1b9345dfca,1 +np.float64,0x800ccae0a41995c1,0x800ccae0a41995c1,1 +np.float64,0x3fdbdaba38b7b574,0x3fdcbdfcbca37ce6,1 +np.float64,0x5b06d12cb60db,0x5b06d12cb60db,1 +np.float64,0xffd52262752a44c4,0xfff0000000000000,1 +np.float64,0x5a17f050b42ff,0x5a17f050b42ff,1 +np.float64,0x3d24205e7a485,0x3d24205e7a485,1 +np.float64,0x7fbed4dec63da9bd,0x7ff0000000000000,1 +np.float64,0xbfe56e9776aadd2f,0xbfe71212863c284f,1 +np.float64,0x7fea0bc952341792,0x7ff0000000000000,1 +np.float64,0x800f692d139ed25a,0x800f692d139ed25a,1 +np.float64,0xffdb63feab36c7fe,0xfff0000000000000,1 +np.float64,0x3fe1c2297fe38452,0x3fe2af21293c9571,1 +np.float64,0x7fede384747bc708,0x7ff0000000000000,1 +np.float64,0x800440169288802e,0x800440169288802e,1 +np.float64,0xffe3241eeb26483e,0xfff0000000000000,1 +np.float64,0xffe28f3879651e70,0xfff0000000000000,1 +np.float64,0xa435cbc1486d,0xa435cbc1486d,1 +np.float64,0x7fe55e08db6abc11,0x7ff0000000000000,1 +np.float64,0x1405e624280be,0x1405e624280be,1 +np.float64,0x3fd861bdf0b0c37c,0x3fd8f9d2e33e45e5,1 +np.float64,0x3feeb67cdc3d6cfa,0x3ff1d337d81d1c14,1 +np.float64,0x3fd159a10e22b342,0x3fd1903be7c2ea0c,1 +np.float64,0x3fd84626bc308c4d,0x3fd8dc373645e65b,1 +np.float64,0xffd3da81d9a7b504,0xfff0000000000000,1 +np.float64,0xbfd4a768b8294ed2,0xbfd503aa7c240051,1 +np.float64,0x3fe3059f2a660b3e,0x3fe42983e0c6bb2e,1 +np.float64,0x3fe3b8353827706a,0x3fe4fdd635c7269b,1 +np.float64,0xbfe4af0399695e07,0xbfe6277d9002b46c,1 +np.float64,0xbfd7e18a92afc316,0xbfd87066b54c4fe6,1 +np.float64,0x800432bcab48657a,0x800432bcab48657a,1 +np.float64,0x80033d609d267ac2,0x80033d609d267ac2,1 +np.float64,0x7fef5f758e7ebeea,0x7ff0000000000000,1 +np.float64,0xbfed7833dbfaf068,0xbff0e85bf45a5ebc,1 +np.float64,0x3fe2283985a45073,0x3fe325b0a9099c74,1 +np.float64,0xe820b4b3d0417,0xe820b4b3d0417,1 +np.float64,0x8003ecb72aa7d96f,0x8003ecb72aa7d96f,1 +np.float64,0xbfeab2c755b5658f,0xbfede7c83e92a625,1 +np.float64,0xbfc7b287f72f6510,0xbfc7d53ef2ffe9dc,1 +np.float64,0xffd9a41d0f33483a,0xfff0000000000000,1 +np.float64,0x3fd3a5b6e3a74b6c,0x3fd3f516f39a4725,1 +np.float64,0x800bc72091578e42,0x800bc72091578e42,1 +np.float64,0x800ff405ce9fe80c,0x800ff405ce9fe80c,1 +np.float64,0x57918600af24,0x57918600af24,1 +np.float64,0x2a5be7fa54b7e,0x2a5be7fa54b7e,1 +np.float64,0xbfdca7886bb94f10,0xbfdd9f142b5b43e4,1 +np.float64,0xbfe216993ee42d32,0xbfe3112936590995,1 +np.float64,0xbfe06bd9cf20d7b4,0xbfe126cd353ab42f,1 +np.float64,0x8003e6c31827cd87,0x8003e6c31827cd87,1 +np.float64,0x8005f37d810be6fc,0x8005f37d810be6fc,1 +np.float64,0x800715b081ae2b62,0x800715b081ae2b62,1 +np.float64,0x3fef94c35bff2986,0x3ff27b4bed2f4051,1 +np.float64,0x6f5798e0deb0,0x6f5798e0deb0,1 +np.float64,0x3fcef1f05c3de3e1,0x3fcf3f557550598f,1 +np.float64,0xbf9a91c400352380,0xbf9a92876273b85c,1 +np.float64,0x3fc9143f7f322880,0x3fc93d678c05d26b,1 +np.float64,0x78ad847af15b1,0x78ad847af15b1,1 +np.float64,0x8000fdc088c1fb82,0x8000fdc088c1fb82,1 +np.float64,0x800200fd304401fb,0x800200fd304401fb,1 +np.float64,0x7fb8ab09dc315613,0x7ff0000000000000,1 +np.float64,0x3fe949771b7292ee,0x3fec00891c3fc5a2,1 +np.float64,0xbfc54cae0e2a995c,0xbfc565e0f3d0e3af,1 +np.float64,0xffd546161e2a8c2c,0xfff0000000000000,1 +np.float64,0x800fe1d1279fc3a2,0x800fe1d1279fc3a2,1 +np.float64,0x3fd9c45301b388a8,0x3fda77fa1f4c79bf,1 +np.float64,0x7fe10ff238221fe3,0x7ff0000000000000,1 +np.float64,0xbfbc2181ae384300,0xbfbc3002229155c4,1 +np.float64,0xbfe7bbfae4ef77f6,0xbfe9f895e91f468d,1 +np.float64,0x800d3d994f7a7b33,0x800d3d994f7a7b33,1 +np.float64,0xffe6e15a896dc2b4,0xfff0000000000000,1 +np.float64,0x800e6b6c8abcd6d9,0x800e6b6c8abcd6d9,1 +np.float64,0xbfd862c938b0c592,0xbfd8faf1cdcb09db,1 +np.float64,0xffe2411f8464823e,0xfff0000000000000,1 +np.float64,0xffd0b32efaa1665e,0xfff0000000000000,1 +np.float64,0x3ac4ace475896,0x3ac4ace475896,1 +np.float64,0xf9c3a7ebf3875,0xf9c3a7ebf3875,1 +np.float64,0xdb998ba5b7332,0xdb998ba5b7332,1 +np.float64,0xbfe438a14fe87142,0xbfe5981751e4c5cd,1 +np.float64,0xbfbcf48cbc39e918,0xbfbd045d60e65d3a,1 +np.float64,0x7fde499615bc932b,0x7ff0000000000000,1 +np.float64,0x800bba269057744e,0x800bba269057744e,1 +np.float64,0x3fc9bb1ba3337638,0x3fc9e78fdb6799c1,1 +np.float64,0xffd9f974fbb3f2ea,0xfff0000000000000,1 +np.float64,0x7fcf1ad1693e35a2,0x7ff0000000000000,1 +np.float64,0x7fe5dcedd32bb9db,0x7ff0000000000000,1 +np.float64,0xeb06500bd60ca,0xeb06500bd60ca,1 +np.float64,0x7fd73e7b592e7cf6,0x7ff0000000000000,1 +np.float64,0xbfe9d91ae873b236,0xbfecc08482849bcd,1 +np.float64,0xffc85338b730a670,0xfff0000000000000,1 +np.float64,0x7fbba41eee37483d,0x7ff0000000000000,1 +np.float64,0x3fed5624fb7aac4a,0x3ff0cf9f0de1fd54,1 +np.float64,0xffe566d80d6acdb0,0xfff0000000000000,1 +np.float64,0x3fd4477884a88ef1,0x3fd49ec7acdd25a0,1 +np.float64,0x3fcb98c5fd37318c,0x3fcbcfa20e2c2712,1 +np.float64,0xffdeba71d5bd74e4,0xfff0000000000000,1 +np.float64,0x8001edc59dc3db8c,0x8001edc59dc3db8c,1 +np.float64,0x3fe6b09e896d613e,0x3fe8a3bb541ec0e3,1 +np.float64,0x3fe8694b4970d296,0x3fead94d271d05cf,1 +np.float64,0xb52c27bf6a585,0xb52c27bf6a585,1 +np.float64,0x7fcb0a21d9361443,0x7ff0000000000000,1 +np.float64,0xbfd9efc68cb3df8e,0xbfdaa7058c0ccbd1,1 +np.float64,0x8007cd170fef9a2f,0x8007cd170fef9a2f,1 +np.float64,0x3fe83325e770664c,0x3fea92c55c9d567e,1 +np.float64,0x800bd0085537a011,0x800bd0085537a011,1 +np.float64,0xffe05b9e7820b73c,0xfff0000000000000,1 +np.float64,0x3fea4ce4347499c8,0x3fed5cea9fdc541b,1 +np.float64,0x7fe08aae1921155b,0x7ff0000000000000,1 +np.float64,0x3fe7a5e7deef4bd0,0x3fe9dc2e20cfb61c,1 +np.float64,0xbfe0ccc8e6e19992,0xbfe195175f32ee3f,1 +np.float64,0xbfe8649717f0c92e,0xbfead3298974dcf0,1 +np.float64,0x7fed6c5308bad8a5,0x7ff0000000000000,1 +np.float64,0xffdbd8c7af37b190,0xfff0000000000000,1 +np.float64,0xbfb2bc4d06257898,0xbfb2c09569912839,1 +np.float64,0x3fc62eca512c5d95,0x3fc64b4251bce8f9,1 +np.float64,0xbfcae2ddbd35c5bc,0xbfcb15971fc61312,1 +np.float64,0x18d26ce831a4f,0x18d26ce831a4f,1 +np.float64,0x7fe38b279267164e,0x7ff0000000000000,1 +np.float64,0x97e1d9ab2fc3b,0x97e1d9ab2fc3b,1 +np.float64,0xbfee8e4785fd1c8f,0xbff1b52d16807627,1 +np.float64,0xbfb189b4a6231368,0xbfb18d37e83860ee,1 +np.float64,0xffd435761ea86aec,0xfff0000000000000,1 +np.float64,0x3fe6c48ebced891e,0x3fe8bcea189c3867,1 +np.float64,0x7fdadd3678b5ba6c,0x7ff0000000000000,1 +np.float64,0x7fea8f15b7b51e2a,0x7ff0000000000000,1 +np.float64,0xbff0000000000000,0xbff2cd9fc44eb982,1 +np.float64,0x80004c071120980f,0x80004c071120980f,1 +np.float64,0x8005367adfea6cf6,0x8005367adfea6cf6,1 +np.float64,0x3fbdc9139a3b9220,0x3fbdda4aba667ce5,1 +np.float64,0x7fed5ee3ad7abdc6,0x7ff0000000000000,1 +np.float64,0x51563fb2a2ac9,0x51563fb2a2ac9,1 +np.float64,0xbfba7d26ce34fa50,0xbfba894229c50ea1,1 +np.float64,0x6c10db36d821c,0x6c10db36d821c,1 +np.float64,0xbfbdaec0d03b5d80,0xbfbdbfca6ede64f4,1 +np.float64,0x800a1cbe7414397d,0x800a1cbe7414397d,1 +np.float64,0x800ae6e7f2d5cdd0,0x800ae6e7f2d5cdd0,1 +np.float64,0x3fea63d3fef4c7a8,0x3fed7c1356688ddc,1 +np.float64,0xbfde1e3a88bc3c76,0xbfdf3dfb09cc2260,1 +np.float64,0xbfd082d75a2105ae,0xbfd0b1e28c84877b,1 +np.float64,0x7fea1e5e85f43cbc,0x7ff0000000000000,1 +np.float64,0xffe2237a1a6446f4,0xfff0000000000000,1 +np.float64,0x3fd1e2be8523c57d,0x3fd21e93dfd1bbc4,1 +np.float64,0x3fd1acd428a359a8,0x3fd1e6916a42bc3a,1 +np.float64,0x61a152f0c342b,0x61a152f0c342b,1 +np.float64,0xbfc61a6b902c34d8,0xbfc6369557690ba0,1 +np.float64,0x7fd1a84b1f235095,0x7ff0000000000000,1 +np.float64,0x1c5cc7e638b9a,0x1c5cc7e638b9a,1 +np.float64,0x8008039755f0072f,0x8008039755f0072f,1 +np.float64,0x80097532d6f2ea66,0x80097532d6f2ea66,1 +np.float64,0xbfc6d979a12db2f4,0xbfc6f89777c53f8f,1 +np.float64,0x8004293ab1085276,0x8004293ab1085276,1 +np.float64,0x3fc2af5c21255eb8,0x3fc2c05dc0652554,1 +np.float64,0xbfd9a5ab87b34b58,0xbfda56d1076abc98,1 +np.float64,0xbfebd360ba77a6c2,0xbfef779fd6595f9b,1 +np.float64,0xffd5313c43aa6278,0xfff0000000000000,1 +np.float64,0xbfe994a262b32945,0xbfec64b969852ed5,1 +np.float64,0x3fce01a52e3c034a,0x3fce48324eb29c31,1 +np.float64,0x56bd74b2ad7af,0x56bd74b2ad7af,1 +np.float64,0xb84093ff70813,0xb84093ff70813,1 +np.float64,0x7fe776df946eedbe,0x7ff0000000000000,1 +np.float64,0xbfe294ac2e652958,0xbfe3a480938afa26,1 +np.float64,0x7fe741b4d0ee8369,0x7ff0000000000000,1 +np.float64,0x800b7e8a1056fd15,0x800b7e8a1056fd15,1 +np.float64,0x7fd28f1269251e24,0x7ff0000000000000,1 +np.float64,0x8009d4492e73a893,0x8009d4492e73a893,1 +np.float64,0x3fe3f27fca67e500,0x3fe543aff825e244,1 +np.float64,0x3fd12447e5a24890,0x3fd158efe43c0452,1 +np.float64,0xbfd58df0f2ab1be2,0xbfd5f6d908e3ebce,1 +np.float64,0xffc0a8e4642151c8,0xfff0000000000000,1 +np.float64,0xbfedb197787b632f,0xbff112367ec9d3e7,1 +np.float64,0xffdde07a7f3bc0f4,0xfff0000000000000,1 +np.float64,0x3fe91f3e5b723e7d,0x3febc886a1d48364,1 +np.float64,0x3fe50415236a082a,0x3fe68f43a5468d8c,1 +np.float64,0xd9a0c875b3419,0xd9a0c875b3419,1 +np.float64,0xbfee04ccf4bc099a,0xbff14f4740a114cf,1 +np.float64,0xbfd2bcc6a125798e,0xbfd30198b1e7d7ed,1 +np.float64,0xbfeb3c16f8f6782e,0xbfeea4ce47d09f58,1 +np.float64,0xffd3ba19e4a77434,0xfff0000000000000,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0x3fdef0a642bde14d,0x3fe0146677b3a488,1 +np.float64,0x3fdc3dd0a2b87ba0,0x3fdd2abe65651487,1 +np.float64,0x3fdbb1fd47b763fb,0x3fdc915a2fd19f4b,1 +np.float64,0x7fbaa375e63546eb,0x7ff0000000000000,1 +np.float64,0x433ef8ee867e0,0x433ef8ee867e0,1 +np.float64,0xf5345475ea68b,0xf5345475ea68b,1 +np.float64,0xa126419b424c8,0xa126419b424c8,1 +np.float64,0x3fe0057248200ae5,0x3fe0b2f488339709,1 +np.float64,0xffc5e3b82f2bc770,0xfff0000000000000,1 +np.float64,0xffb215c910242b90,0xfff0000000000000,1 +np.float64,0xbfeba4ae0837495c,0xbfef3642e4b54aac,1 +np.float64,0xffbb187ebe363100,0xfff0000000000000,1 +np.float64,0x3fe4c6a496a98d49,0x3fe64440cdf06aab,1 +np.float64,0x800767a28f6ecf46,0x800767a28f6ecf46,1 +np.float64,0x3fdbed63b1b7dac8,0x3fdcd27318c0b683,1 +np.float64,0x80006d8339e0db07,0x80006d8339e0db07,1 +np.float64,0x8000b504f0416a0b,0x8000b504f0416a0b,1 +np.float64,0xbfe88055bfb100ac,0xbfeaf767bd2767b9,1 +np.float64,0x3fefe503317fca06,0x3ff2b8d4057240c8,1 +np.float64,0x7fe307538b660ea6,0x7ff0000000000000,1 +np.float64,0x944963c12892d,0x944963c12892d,1 +np.float64,0xbfd2c20b38a58416,0xbfd30717900f8233,1 +np.float64,0x7feed04e3e3da09b,0x7ff0000000000000,1 +np.float64,0x3fe639619cac72c3,0x3fe80de7b8560a8d,1 +np.float64,0x3fde066c66bc0cd9,0x3fdf237fb759a652,1 +np.float64,0xbfc56b22b52ad644,0xbfc584c267a47ebd,1 +np.float64,0x3fc710d5b12e21ab,0x3fc730d817ba0d0c,1 +np.float64,0x3fee1dfc347c3bf8,0x3ff161d9c3e15f68,1 +np.float64,0x3fde400954bc8013,0x3fdf639e5cc9e7a9,1 +np.float64,0x56e701f8adce1,0x56e701f8adce1,1 +np.float64,0xbfe33bbc89e67779,0xbfe46996b39381fe,1 +np.float64,0x7fec89e2f87913c5,0x7ff0000000000000,1 +np.float64,0xbfdad58b40b5ab16,0xbfdba098cc0ad5d3,1 +np.float64,0x3fe99c76a13338ed,0x3fec6f31bae613e7,1 +np.float64,0x3fe4242a29a84854,0x3fe57f6b45e5c0ef,1 +np.float64,0xbfe79d3199ef3a63,0xbfe9d0fb96c846ba,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0xbfeb35a6cf766b4e,0xbfee9be4e7e943f7,1 +np.float64,0x3e047f267c091,0x3e047f267c091,1 +np.float64,0x4bf1376a97e28,0x4bf1376a97e28,1 +np.float64,0x800ef419685de833,0x800ef419685de833,1 +np.float64,0x3fe0efa61a21df4c,0x3fe1bce98baf2f0f,1 +np.float64,0x3fcc13c4d738278a,0x3fcc4d8c778bcaf7,1 +np.float64,0x800f1d291afe3a52,0x800f1d291afe3a52,1 +np.float64,0x3fd3f10e6da7e21d,0x3fd444106761ea1d,1 +np.float64,0x800706d6d76e0dae,0x800706d6d76e0dae,1 +np.float64,0xffa1ffbc9023ff80,0xfff0000000000000,1 +np.float64,0xbfe098f26d6131e5,0xbfe15a08a5f3eac0,1 +np.float64,0x3fe984f9cc7309f4,0x3fec4fcdbdb1cb9b,1 +np.float64,0x7fd7c2f1eaaf85e3,0x7ff0000000000000,1 +np.float64,0x800a8adb64f515b7,0x800a8adb64f515b7,1 +np.float64,0x80060d3ffc8c1a81,0x80060d3ffc8c1a81,1 +np.float64,0xbfec37e4aef86fc9,0xbff0029a6a1d61e2,1 +np.float64,0x800b21bcfcf6437a,0x800b21bcfcf6437a,1 +np.float64,0xbfc08facc1211f58,0xbfc09b8380ea8032,1 +np.float64,0xffebb4b52577696a,0xfff0000000000000,1 +np.float64,0x800b08096df61013,0x800b08096df61013,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0xffd2f0c9c8a5e194,0xfff0000000000000,1 +np.float64,0xffe78b2299af1644,0xfff0000000000000,1 +np.float64,0x7fd0444794a0888e,0x7ff0000000000000,1 +np.float64,0x307c47b460f8a,0x307c47b460f8a,1 +np.float64,0xffe6b4c851ad6990,0xfff0000000000000,1 +np.float64,0xffe1877224a30ee4,0xfff0000000000000,1 +np.float64,0x48d7b5c091af7,0x48d7b5c091af7,1 +np.float64,0xbfa1dc6b1c23b8d0,0xbfa1dd5889e1b7da,1 +np.float64,0x3fe5004737ea008e,0x3fe68a9c310b08c1,1 +np.float64,0x7fec5f0742b8be0e,0x7ff0000000000000,1 +np.float64,0x3fd0a86285a150c5,0x3fd0d8b238d557fa,1 +np.float64,0x7fed60380efac06f,0x7ff0000000000000,1 +np.float64,0xeeca74dfdd94f,0xeeca74dfdd94f,1 +np.float64,0x3fda05aaa8b40b54,0x3fdabebdbf405e84,1 +np.float64,0x800e530ceb1ca61a,0x800e530ceb1ca61a,1 +np.float64,0x800b3866379670cd,0x800b3866379670cd,1 +np.float64,0xffedb3e7fa3b67cf,0xfff0000000000000,1 +np.float64,0xffdfa4c0713f4980,0xfff0000000000000,1 +np.float64,0x7fe4679e0728cf3b,0x7ff0000000000000,1 +np.float64,0xffe978611ef2f0c2,0xfff0000000000000,1 +np.float64,0x7fc9f4601f33e8bf,0x7ff0000000000000,1 +np.float64,0x3fd4942de6a9285c,0x3fd4ef6e089357dd,1 +np.float64,0x3faafe064435fc00,0x3fab0139cd6564dc,1 +np.float64,0x800d145a519a28b5,0x800d145a519a28b5,1 +np.float64,0xbfd82636f2304c6e,0xbfd8b9f75ddd2f02,1 +np.float64,0xbfdf2e975e3e5d2e,0xbfe037174280788c,1 +np.float64,0x7fd7051d7c2e0a3a,0x7ff0000000000000,1 +np.float64,0x8007933d452f267b,0x8007933d452f267b,1 +np.float64,0xb2043beb64088,0xb2043beb64088,1 +np.float64,0x3febfd9708f7fb2e,0x3fefb2ef090f18d2,1 +np.float64,0xffd9bc6bc83378d8,0xfff0000000000000,1 +np.float64,0xc10f9fd3821f4,0xc10f9fd3821f4,1 +np.float64,0x3fe3c83413a79068,0x3fe510fa1dd8edf7,1 +np.float64,0x3fbe26ccda3c4da0,0x3fbe38a892279975,1 +np.float64,0x3fcc1873103830e6,0x3fcc5257a6ae168d,1 +np.float64,0xe7e000e9cfc00,0xe7e000e9cfc00,1 +np.float64,0xffda73852bb4e70a,0xfff0000000000000,1 +np.float64,0xbfe831be19f0637c,0xbfea90f1b34da3e5,1 +np.float64,0xbfeb568f3076ad1e,0xbfeec97eebfde862,1 +np.float64,0x510a6ad0a214e,0x510a6ad0a214e,1 +np.float64,0x3fe6ba7e35ed74fc,0x3fe8b032a9a28c6a,1 +np.float64,0xffeb5cdcff76b9b9,0xfff0000000000000,1 +np.float64,0x4f0a23e89e145,0x4f0a23e89e145,1 +np.float64,0x446ec20288dd9,0x446ec20288dd9,1 +np.float64,0x7fe2521b02e4a435,0x7ff0000000000000,1 +np.float64,0x8001cd2969e39a54,0x8001cd2969e39a54,1 +np.float64,0x3fdfe90600bfd20c,0x3fe09fdcca10001c,1 +np.float64,0x7fd660c5762cc18a,0x7ff0000000000000,1 +np.float64,0xbfb11b23aa223648,0xbfb11e661949b377,1 +np.float64,0x800e025285fc04a5,0x800e025285fc04a5,1 +np.float64,0xffb180bb18230178,0xfff0000000000000,1 +np.float64,0xaaf590df55eb2,0xaaf590df55eb2,1 +np.float64,0xbfe8637d9df0c6fb,0xbfead1ba429462ec,1 +np.float64,0x7fd2577866a4aef0,0x7ff0000000000000,1 +np.float64,0xbfcfb2ab5a3f6558,0xbfd002ee87f272b9,1 +np.float64,0x7fdd64ae2f3ac95b,0x7ff0000000000000,1 +np.float64,0xffd1a502c9234a06,0xfff0000000000000,1 +np.float64,0x7fc4be4b60297c96,0x7ff0000000000000,1 +np.float64,0xbfb46b712a28d6e0,0xbfb470fca9919172,1 +np.float64,0xffdef913033df226,0xfff0000000000000,1 +np.float64,0x3fd94a3545b2946b,0x3fd9f40431ce9f9c,1 +np.float64,0x7fef88a0b6ff1140,0x7ff0000000000000,1 +np.float64,0xbfbcc81876399030,0xbfbcd7a0ab6cb388,1 +np.float64,0x800a4acfdd9495a0,0x800a4acfdd9495a0,1 +np.float64,0xffe270b3d5e4e167,0xfff0000000000000,1 +np.float64,0xbfd23f601e247ec0,0xbfd27eeca50a49eb,1 +np.float64,0x7fec6e796a78dcf2,0x7ff0000000000000,1 +np.float64,0x3fb85e0c9630bc19,0x3fb867791ccd6c72,1 +np.float64,0x7fe49fc424a93f87,0x7ff0000000000000,1 +np.float64,0xbfe75a99fbaeb534,0xbfe97ba37663de4c,1 +np.float64,0xffe85011b630a023,0xfff0000000000000,1 +np.float64,0xffe5962e492b2c5c,0xfff0000000000000,1 +np.float64,0x6f36ed4cde6de,0x6f36ed4cde6de,1 +np.float64,0x3feb72170af6e42e,0x3feeefbe6f1a2084,1 +np.float64,0x80014d8d60629b1c,0x80014d8d60629b1c,1 +np.float64,0xbfe0eb40d321d682,0xbfe1b7e31f252bf1,1 +np.float64,0x31fe305663fc7,0x31fe305663fc7,1 +np.float64,0x3fd2cd6381a59ac7,0x3fd312edc9868a4d,1 +np.float64,0xffcf0720793e0e40,0xfff0000000000000,1 +np.float64,0xbfeef1ef133de3de,0xbff1ffd5e1a3b648,1 +np.float64,0xbfd01c787aa038f0,0xbfd0482be3158a01,1 +np.float64,0x3fda3607c5b46c10,0x3fdaf3301e217301,1 +np.float64,0xffda9a9911b53532,0xfff0000000000000,1 +np.float64,0x3fc0b37c392166f8,0x3fc0bfa076f3c43e,1 +np.float64,0xbfe06591c760cb24,0xbfe11fad179ea12c,1 +np.float64,0x8006e369c20dc6d4,0x8006e369c20dc6d4,1 +np.float64,0x3fdf2912a8be5224,0x3fe033ff74b92f4d,1 +np.float64,0xffc0feb07821fd60,0xfff0000000000000,1 +np.float64,0xa4b938c949727,0xa4b938c949727,1 +np.float64,0x8008fe676571fccf,0x8008fe676571fccf,1 +np.float64,0xbfdda68459bb4d08,0xbfdeb8faab34fcbc,1 +np.float64,0xbfda18b419343168,0xbfdad360ca52ec7c,1 +np.float64,0x3febcbae35b7975c,0x3fef6cd51c9ebc15,1 +np.float64,0x3fbec615f63d8c30,0x3fbed912ba729926,1 +np.float64,0x7f99a831c8335063,0x7ff0000000000000,1 +np.float64,0x3fe663e8826cc7d1,0x3fe84330bd9aada8,1 +np.float64,0x70a9f9e6e1540,0x70a9f9e6e1540,1 +np.float64,0x8a13a5db14275,0x8a13a5db14275,1 +np.float64,0x7fc4330a3b286613,0x7ff0000000000000,1 +np.float64,0xbfe580c6136b018c,0xbfe728806cc7a99a,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0xffec079d5df80f3a,0xfff0000000000000,1 +np.float64,0x8e1173c31c22f,0x8e1173c31c22f,1 +np.float64,0x3fe088456d21108b,0x3fe14712ca414103,1 +np.float64,0x3fe1b76f73636edf,0x3fe2a2b658557112,1 +np.float64,0xbfd4a1dd162943ba,0xbfd4fdd45cae8fb8,1 +np.float64,0x7fd60b46c8ac168d,0x7ff0000000000000,1 +np.float64,0xffe36cc3b166d987,0xfff0000000000000,1 +np.float64,0x3fdc2ae0cfb855c0,0x3fdd15f026773151,1 +np.float64,0xbfc41aa203283544,0xbfc42fd1b145fdd5,1 +np.float64,0xffed90c55fbb218a,0xfff0000000000000,1 +np.float64,0x3fe67e3a9aecfc75,0x3fe86440db65b4f6,1 +np.float64,0x7fd12dbeaba25b7c,0x7ff0000000000000,1 +np.float64,0xbfe1267c0de24cf8,0xbfe1fbb611bdf1e9,1 +np.float64,0x22e5619645cad,0x22e5619645cad,1 +np.float64,0x7fe327c72ea64f8d,0x7ff0000000000000,1 +np.float64,0x7fd2c3f545a587ea,0x7ff0000000000000,1 +np.float64,0x7fc7b689372f6d11,0x7ff0000000000000,1 +np.float64,0xc5e140bd8bc28,0xc5e140bd8bc28,1 +np.float64,0x3fccb3627a3966c5,0x3fccf11b44fa4102,1 +np.float64,0xbfd2cf725c259ee4,0xbfd315138d0e5dca,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0xbfd3dfa8b627bf52,0xbfd431d17b235477,1 +np.float64,0xbfb82124e6304248,0xbfb82a4b6d9c2663,1 +np.float64,0x3fdcd590d9b9ab22,0x3fddd1d548806347,1 +np.float64,0x7fdee0cd1b3dc199,0x7ff0000000000000,1 +np.float64,0x8004ebfc60a9d7fa,0x8004ebfc60a9d7fa,1 +np.float64,0x3fe8eb818b71d704,0x3feb842679806108,1 +np.float64,0xffdd5e8fe63abd20,0xfff0000000000000,1 +np.float64,0xbfe3efcbd9e7df98,0xbfe54071436645ee,1 +np.float64,0x3fd5102557aa204b,0x3fd57203d31a05b8,1 +np.float64,0x3fe6318af7ec6316,0x3fe8041a177cbf96,1 +np.float64,0x3fdf3cecdabe79da,0x3fe03f2084ffbc78,1 +np.float64,0x7fe0ab6673a156cc,0x7ff0000000000000,1 +np.float64,0x800037d5c6c06fac,0x800037d5c6c06fac,1 +np.float64,0xffce58b86a3cb170,0xfff0000000000000,1 +np.float64,0xbfe3455d6ce68abb,0xbfe475034cecb2b8,1 +np.float64,0x991b663d3236d,0x991b663d3236d,1 +np.float64,0x3fda82d37c3505a7,0x3fdb46973da05c12,1 +np.float64,0x3f9b736fa036e6df,0x3f9b74471c234411,1 +np.float64,0x8001c96525e392cb,0x8001c96525e392cb,1 +np.float64,0x7ff0000000000000,0x7ff0000000000000,1 +np.float64,0xbfaf59122c3eb220,0xbfaf5e15f8b272b0,1 +np.float64,0xbf9aa7d288354fa0,0xbf9aa897d2a40cb5,1 +np.float64,0x8004a43428694869,0x8004a43428694869,1 +np.float64,0x7feead476dbd5a8e,0x7ff0000000000000,1 +np.float64,0xffca150f81342a20,0xfff0000000000000,1 +np.float64,0x80047ec3bc88fd88,0x80047ec3bc88fd88,1 +np.float64,0xbfee3e5b123c7cb6,0xbff179c8b8334278,1 +np.float64,0x3fd172359f22e46b,0x3fd1a9ba6b1420a1,1 +np.float64,0x3fe8e5e242f1cbc5,0x3feb7cbcaefc4d5c,1 +np.float64,0x8007fb059a6ff60c,0x8007fb059a6ff60c,1 +np.float64,0xe3899e71c7134,0xe3899e71c7134,1 +np.float64,0x7fe3b98326a77305,0x7ff0000000000000,1 +np.float64,0x7fec4e206cb89c40,0x7ff0000000000000,1 +np.float64,0xbfa3b012c4276020,0xbfa3b150c13b3cc5,1 +np.float64,0xffefffffffffffff,0xfff0000000000000,1 +np.float64,0xffe28a5b9aa514b6,0xfff0000000000000,1 +np.float64,0xbfd76a6cc2aed4da,0xbfd7f10f4d04e7f6,1 +np.float64,0xbc2b1c0178564,0xbc2b1c0178564,1 +np.float64,0x6d9d444adb3a9,0x6d9d444adb3a9,1 +np.float64,0xbfdcadd368395ba6,0xbfdda6037b5c429c,1 +np.float64,0x3fe11891fde23124,0x3fe1ebc1c204b14b,1 +np.float64,0x3fdd66c3eebacd88,0x3fde72526b5304c4,1 +np.float64,0xbfe79d85612f3b0b,0xbfe9d1673bd1f6d6,1 +np.float64,0x3fed60abdabac158,0x3ff0d7426b3800a2,1 +np.float64,0xbfb0ffa54021ff48,0xbfb102d81073a9f0,1 +np.float64,0xd2452af5a48a6,0xd2452af5a48a6,1 +np.float64,0xf4b835c1e971,0xf4b835c1e971,1 +np.float64,0x7e269cdafc4d4,0x7e269cdafc4d4,1 +np.float64,0x800097a21d812f45,0x800097a21d812f45,1 +np.float64,0x3fdfcc85e8bf990c,0x3fe08fcf770fd456,1 +np.float64,0xd8d53155b1aa6,0xd8d53155b1aa6,1 +np.float64,0x7fb8ed658831daca,0x7ff0000000000000,1 +np.float64,0xbfec865415b90ca8,0xbff03a4584d719f9,1 +np.float64,0xffd8cda62a319b4c,0xfff0000000000000,1 +np.float64,0x273598d84e6b4,0x273598d84e6b4,1 +np.float64,0x7fd566b5c32acd6b,0x7ff0000000000000,1 +np.float64,0xff61d9d48023b400,0xfff0000000000000,1 +np.float64,0xbfec5c3bf4f8b878,0xbff01c594243337c,1 +np.float64,0x7fd1be0561a37c0a,0x7ff0000000000000,1 +np.float64,0xffeaee3271b5dc64,0xfff0000000000000,1 +np.float64,0x800c0e1931b81c33,0x800c0e1931b81c33,1 +np.float64,0xbfad1171583a22e0,0xbfad1570e5c466d2,1 +np.float64,0x7fd783b0fe2f0761,0x7ff0000000000000,1 +np.float64,0x7fc39903e6273207,0x7ff0000000000000,1 +np.float64,0xffe00003c5600007,0xfff0000000000000,1 +np.float64,0x35a7b9c06b50,0x35a7b9c06b50,1 +np.float64,0x7fee441a22bc8833,0x7ff0000000000000,1 +np.float64,0xff6e47fbc03c9000,0xfff0000000000000,1 +np.float64,0xbfd3c3c9c8a78794,0xbfd41499b1912534,1 +np.float64,0x82c9c87f05939,0x82c9c87f05939,1 +np.float64,0xbfedeb0fe4fbd620,0xbff13c573ce9d3d0,1 +np.float64,0x2b79298656f26,0x2b79298656f26,1 +np.float64,0xbf5ee44f003dc800,0xbf5ee4503353c0ba,1 +np.float64,0xbfe1dd264e63ba4c,0xbfe2ce68116c7bf6,1 +np.float64,0x3fece10b7579c217,0x3ff07b21b11799c6,1 +np.float64,0x3fba47143a348e28,0x3fba52e601adf24c,1 +np.float64,0xffe9816e7a7302dc,0xfff0000000000000,1 +np.float64,0x8009a8047fd35009,0x8009a8047fd35009,1 +np.float64,0x800ac28e4e95851d,0x800ac28e4e95851d,1 +np.float64,0x80093facf4f27f5a,0x80093facf4f27f5a,1 +np.float64,0x3ff0000000000000,0x3ff2cd9fc44eb982,1 +np.float64,0x3fe76a9857eed530,0x3fe99018a5895a4f,1 +np.float64,0xbfd13c59a3a278b4,0xbfd171e133df0b16,1 +np.float64,0x7feb43bc83368778,0x7ff0000000000000,1 +np.float64,0xbfe2970c5fa52e18,0xbfe3a74a434c6efe,1 +np.float64,0xffd091c380212388,0xfff0000000000000,1 +np.float64,0x3febb3b9d2f76774,0x3fef4b4af2bd8580,1 +np.float64,0x7fec66787ef8ccf0,0x7ff0000000000000,1 +np.float64,0xbf935e185826bc40,0xbf935e640557a354,1 +np.float64,0x979df1552f3be,0x979df1552f3be,1 +np.float64,0x7fc096ee73212ddc,0x7ff0000000000000,1 +np.float64,0xbfe9de88faf3bd12,0xbfecc7d1ae691d1b,1 +np.float64,0x7fdc733f06b8e67d,0x7ff0000000000000,1 +np.float64,0xffd71be1a0ae37c4,0xfff0000000000000,1 +np.float64,0xb50dabd36a1b6,0xb50dabd36a1b6,1 +np.float64,0x7fce3d94d63c7b29,0x7ff0000000000000,1 +np.float64,0x7fbaf95e4435f2bc,0x7ff0000000000000,1 +np.float64,0x81a32a6f03466,0x81a32a6f03466,1 +np.float64,0xa99b5b4d5336c,0xa99b5b4d5336c,1 +np.float64,0x7f97c1eeb82f83dc,0x7ff0000000000000,1 +np.float64,0x3fe761636d6ec2c6,0x3fe98451160d2ffb,1 +np.float64,0xbfe3224ef5e6449e,0xbfe44b73eeadac52,1 +np.float64,0x7fde6feb0dbcdfd5,0x7ff0000000000000,1 +np.float64,0xbfee87f9ca7d0ff4,0xbff1b079e9d7f706,1 +np.float64,0x3fe46f4c9828de99,0x3fe5da2ab9609ea5,1 +np.float64,0xffb92fe882325fd0,0xfff0000000000000,1 +np.float64,0x80054bc63cea978d,0x80054bc63cea978d,1 +np.float64,0x3d988bea7b312,0x3d988bea7b312,1 +np.float64,0x3fe6468e1d6c8d1c,0x3fe81e64d37d39a8,1 +np.float64,0x3fd68eefc22d1de0,0x3fd7074264faeead,1 +np.float64,0xffb218a074243140,0xfff0000000000000,1 +np.float64,0x3fdbcb3b6cb79678,0x3fdcad011de40b7d,1 +np.float64,0x7fe3c161772782c2,0x7ff0000000000000,1 +np.float64,0x25575c904aaec,0x25575c904aaec,1 +np.float64,0x800fa43a8f5f4875,0x800fa43a8f5f4875,1 +np.float64,0x3fe41fc9e1e83f94,0x3fe57a25dd1a37f1,1 +np.float64,0x3fd895f4a7b12be9,0x3fd931e7b721a08a,1 +np.float64,0xce31469f9c629,0xce31469f9c629,1 +np.float64,0xffea0f55ca341eab,0xfff0000000000000,1 +np.float64,0xffe831c9ba306393,0xfff0000000000000,1 +np.float64,0x7fe2056f03a40add,0x7ff0000000000000,1 +np.float64,0x7fd6b075e02d60eb,0x7ff0000000000000,1 +np.float64,0x3fdfbef4273f7de8,0x3fe0882c1f59efc0,1 +np.float64,0x8005b9e094ab73c2,0x8005b9e094ab73c2,1 +np.float64,0x3fea881ac6351036,0x3fedad7a319b887c,1 +np.float64,0xbfe2c61c7ee58c39,0xbfe3de9a99d8a9c6,1 +np.float64,0x30b0d3786161b,0x30b0d3786161b,1 +np.float64,0x3fa51d56a02a3aad,0x3fa51edee2d2ecef,1 +np.float64,0x79745732f2e8c,0x79745732f2e8c,1 +np.float64,0x800d55b4907aab69,0x800d55b4907aab69,1 +np.float64,0xbfbe8fcf0a3d1fa0,0xbfbea267fbb5bfdf,1 +np.float64,0xbfd04e2756a09c4e,0xbfd07b74d079f9a2,1 +np.float64,0x3fc65170552ca2e1,0x3fc66e6eb00c82ed,1 +np.float64,0xbfb0674b8020ce98,0xbfb06a2b4771b64c,1 +np.float64,0x2059975840b34,0x2059975840b34,1 +np.float64,0x33d1385467a28,0x33d1385467a28,1 +np.float64,0x3fea41b74ff4836f,0x3fed4dc1a09e53cc,1 +np.float64,0xbfe8e08c9d71c119,0xbfeb75b4c59a6bec,1 +np.float64,0x7fdbbf14d6377e29,0x7ff0000000000000,1 +np.float64,0x3fcd8b71513b16e0,0x3fcdcec80174f9ad,1 +np.float64,0x5c50bc94b8a18,0x5c50bc94b8a18,1 +np.float64,0x969a18f52d343,0x969a18f52d343,1 +np.float64,0x3fd7ae44462f5c89,0x3fd8398bc34e395c,1 +np.float64,0xffdd0f8617ba1f0c,0xfff0000000000000,1 +np.float64,0xfff0000000000000,0xfff0000000000000,1 +np.float64,0xbfe2f9badb65f376,0xbfe41b771320ece8,1 +np.float64,0x3fd140bc7fa29,0x3fd140bc7fa29,1 +np.float64,0xbfe14523b5628a48,0xbfe21ee850972043,1 +np.float64,0x3feedd0336bdba06,0x3ff1f01afc1f3a06,1 +np.float64,0x800de423ad7bc848,0x800de423ad7bc848,1 +np.float64,0x4cef857c99df1,0x4cef857c99df1,1 +np.float64,0xbfea55e0e374abc2,0xbfed691e41d648dd,1 +np.float64,0x3fe70d7a18ae1af4,0x3fe91955a34d8094,1 +np.float64,0xbfc62fc3032c5f88,0xbfc64c3ec25decb8,1 +np.float64,0x3fc915abb5322b58,0x3fc93edac5cc73fe,1 +np.float64,0x69aaff66d3561,0x69aaff66d3561,1 +np.float64,0x5c6a90f2b8d53,0x5c6a90f2b8d53,1 +np.float64,0x3fefe30dc1bfc61c,0x3ff2b752257bdacd,1 +np.float64,0x3fef15db15fe2bb6,0x3ff21aea05601396,1 +np.float64,0xbfe353e5ac66a7cc,0xbfe48644e6553d1a,1 +np.float64,0x3fe6d30cffada61a,0x3fe8cf3e4c61ddac,1 +np.float64,0x7fb7857eb62f0afc,0x7ff0000000000000,1 +np.float64,0xbfdd9b53d23b36a8,0xbfdeac91a7af1340,1 +np.float64,0x3fd1456357228ac7,0x3fd17b3f7d39b27a,1 +np.float64,0x3fb57d10ae2afa21,0x3fb5838702b806f4,1 +np.float64,0x800c59c96c98b393,0x800c59c96c98b393,1 +np.float64,0x7fc1f2413823e481,0x7ff0000000000000,1 +np.float64,0xbfa3983624273070,0xbfa3996fa26c419a,1 +np.float64,0x7fb28874ae2510e8,0x7ff0000000000000,1 +np.float64,0x3fe826d02a304da0,0x3fea82bec50bc0b6,1 +np.float64,0x8008d6f0d3d1ade2,0x8008d6f0d3d1ade2,1 +np.float64,0xffe7c970ca2f92e1,0xfff0000000000000,1 +np.float64,0x7fcf42bcaa3e8578,0x7ff0000000000000,1 +np.float64,0x7fda1ab517343569,0x7ff0000000000000,1 +np.float64,0xbfe7926a65ef24d5,0xbfe9c323dd890d5b,1 +np.float64,0xbfcaf6282d35ec50,0xbfcb294f36a0a33d,1 +np.float64,0x800ca49df8d9493c,0x800ca49df8d9493c,1 +np.float64,0xffea18d26af431a4,0xfff0000000000000,1 +np.float64,0x3fb72f276e2e5e50,0x3fb7374539fd1221,1 +np.float64,0xffa6b613842d6c20,0xfff0000000000000,1 +np.float64,0xbfeb3c7263f678e5,0xbfeea54cdb60b54c,1 +np.float64,0x3fc976d2ba32eda5,0x3fc9a1e83a058de4,1 +np.float64,0xbfe4acd4b0e959aa,0xbfe624d5d4f9b9a6,1 +np.float64,0x7fca410a0f348213,0x7ff0000000000000,1 +np.float64,0xbfde368f77bc6d1e,0xbfdf5910c8c8bcb0,1 +np.float64,0xbfed7412937ae825,0xbff0e55afc428453,1 +np.float64,0xffef6b7b607ed6f6,0xfff0000000000000,1 +np.float64,0xbfb936f17e326de0,0xbfb941629a53c694,1 +np.float64,0x800dbb0c469b7619,0x800dbb0c469b7619,1 +np.float64,0x800f68b0581ed161,0x800f68b0581ed161,1 +np.float64,0x3fe25b2aad64b656,0x3fe361266fa9c5eb,1 +np.float64,0xbfb87e445a30fc88,0xbfb887d676910c3f,1 +np.float64,0x6e6ba9b6dcd76,0x6e6ba9b6dcd76,1 +np.float64,0x3fad27ce583a4f9d,0x3fad2bd72782ffdb,1 +np.float64,0xbfec0bc5d638178c,0xbfefc6e8c8f9095f,1 +np.float64,0x7fcba4a296374944,0x7ff0000000000000,1 +np.float64,0x8004ca237cc99448,0x8004ca237cc99448,1 +np.float64,0xffe85b8c3270b718,0xfff0000000000000,1 +np.float64,0x7fe7ee3eddafdc7d,0x7ff0000000000000,1 +np.float64,0xffd275967ca4eb2c,0xfff0000000000000,1 +np.float64,0xbfa95bc3a032b780,0xbfa95e6b288ecf43,1 +np.float64,0x3fc9e3214b33c643,0x3fca10667e7e7ff4,1 +np.float64,0x8001b89c5d837139,0x8001b89c5d837139,1 +np.float64,0xbf8807dfc0300fc0,0xbf880803e3badfbd,1 +np.float64,0x800aca94b895952a,0x800aca94b895952a,1 +np.float64,0x7fd79534a02f2a68,0x7ff0000000000000,1 +np.float64,0x3fe1b81179e37023,0x3fe2a371d8cc26f0,1 +np.float64,0x800699539d6d32a8,0x800699539d6d32a8,1 +np.float64,0xffe51dfbb3aa3bf7,0xfff0000000000000,1 +np.float64,0xbfdfb775abbf6eec,0xbfe083f48be2f98f,1 +np.float64,0x3fe87979d7b0f2f4,0x3feaee701d959079,1 +np.float64,0x3fd8e4e6a731c9cd,0x3fd986d29f25f982,1 +np.float64,0x3fe3dadaaf67b5b6,0x3fe527520fb02920,1 +np.float64,0x8003c2262bc7844d,0x8003c2262bc7844d,1 +np.float64,0x800c930add392616,0x800c930add392616,1 +np.float64,0xffb7a152a22f42a8,0xfff0000000000000,1 +np.float64,0x80028fe03dc51fc1,0x80028fe03dc51fc1,1 +np.float64,0xffe32ae60c6655cc,0xfff0000000000000,1 +np.float64,0x3fea3527e4746a50,0x3fed3cbbf47f18eb,1 +np.float64,0x800a53059e14a60c,0x800a53059e14a60c,1 +np.float64,0xbfd79e3b202f3c76,0xbfd828672381207b,1 +np.float64,0xffeed7e2eb7dafc5,0xfff0000000000000,1 +np.float64,0x3fec51ed6778a3db,0x3ff01509e34df61d,1 +np.float64,0xbfd84bc577b0978a,0xbfd8e23ec55e42e8,1 +np.float64,0x2483aff849077,0x2483aff849077,1 +np.float64,0x6f57883adeaf2,0x6f57883adeaf2,1 +np.float64,0xffd3fd74d927faea,0xfff0000000000000,1 +np.float64,0x7fca49ec773493d8,0x7ff0000000000000,1 +np.float64,0x7fd08fe2e8211fc5,0x7ff0000000000000,1 +np.float64,0x800852086db0a411,0x800852086db0a411,1 +np.float64,0x3fe5b1f2c9eb63e6,0x3fe7654f511bafc6,1 +np.float64,0xbfe01e2a58e03c54,0xbfe0cedb68f021e6,1 +np.float64,0x800988421d331085,0x800988421d331085,1 +np.float64,0xffd5038b18aa0716,0xfff0000000000000,1 +np.float64,0x8002c9264c85924d,0x8002c9264c85924d,1 +np.float64,0x3fd21ca302243946,0x3fd25ac653a71aab,1 +np.float64,0xbfea60d6e6f4c1ae,0xbfed78031d9dfa2b,1 +np.float64,0xffef97b6263f2f6b,0xfff0000000000000,1 +np.float64,0xbfd524732faa48e6,0xbfd5876ecc415dcc,1 +np.float64,0x660387e8cc072,0x660387e8cc072,1 +np.float64,0x7fcfc108a33f8210,0x7ff0000000000000,1 +np.float64,0x7febe5b0f877cb61,0x7ff0000000000000,1 +np.float64,0xbfa55fdfac2abfc0,0xbfa56176991851a8,1 +np.float64,0x25250f4c4a4a3,0x25250f4c4a4a3,1 +np.float64,0xffe2f6a2f2a5ed46,0xfff0000000000000,1 +np.float64,0x7fa754fcc02ea9f9,0x7ff0000000000000,1 +np.float64,0x3febd19dea37a33c,0x3fef75279f75d3b8,1 +np.float64,0xc5ed55218bdab,0xc5ed55218bdab,1 +np.float64,0x3fe72ff6b3ee5fed,0x3fe945388b979882,1 +np.float64,0xbfe16b854e22d70a,0xbfe24b10fc0dff14,1 +np.float64,0xffb22cbe10245980,0xfff0000000000000,1 +np.float64,0xa54246b54a849,0xa54246b54a849,1 +np.float64,0x3fe7f4cda76fe99c,0x3fea41edc74888b6,1 +np.float64,0x1,0x1,1 +np.float64,0x800d84acce9b095a,0x800d84acce9b095a,1 +np.float64,0xb0eef04761dde,0xb0eef04761dde,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xffecaf1dbb795e3b,0xfff0000000000000,1 +np.float64,0x90dbab8d21b76,0x90dbab8d21b76,1 +np.float64,0x3fe79584a9ef2b09,0x3fe9c71fa9e40eb5,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-tan.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-tan.csv new file mode 100644 index 0000000000000000000000000000000000000000..ac97624ec5652bca842e28c3f7d726b073315f0f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-tan.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xfd97ece0,0xc11186e9,4 +np.float32,0x8013bb34,0x8013bb34,4 +np.float32,0x316389,0x316389,4 +np.float32,0x7f7fffff,0xbf1c9eca,4 +np.float32,0x3f7674bb,0x3fb7e450,4 +np.float32,0x80800000,0x80800000,4 +np.float32,0x7f5995e8,0xbf94106c,4 +np.float32,0x74527,0x74527,4 +np.float32,0x7f08caea,0xbeceddb6,4 +np.float32,0x2d49b2,0x2d49b2,4 +np.float32,0x3f74e5e4,0x3fb58695,4 +np.float32,0x3f3fcd51,0x3f6e1e81,4 +np.float32,0xbf4f3608,0xbf864d3d,4 +np.float32,0xbed974a0,0xbee78c70,4 +np.float32,0xff5f483c,0x3ecf3cb2,4 +np.float32,0x7f4532f4,0xc0b96f7b,4 +np.float32,0x3f0a4f7c,0x3f198cc0,4 +np.float32,0x210193,0x210193,4 +np.float32,0xfeebad7a,0xbf92eba8,4 +np.float32,0xfed29f74,0xc134cab6,4 +np.float32,0x803433a0,0x803433a0,4 +np.float32,0x64eb46,0x64eb46,4 +np.float32,0xbf54ef22,0xbf8c757b,4 +np.float32,0x3f3d5fdd,0x3f69a17b,4 +np.float32,0x80000001,0x80000001,4 +np.float32,0x800a837a,0x800a837a,4 +np.float32,0x6ff0be,0x6ff0be,4 +np.float32,0xfe8f1186,0x3f518820,4 +np.float32,0x804963e5,0x804963e5,4 +np.float32,0xfebaa59a,0x3fa1dbb0,4 +np.float32,0x637970,0x637970,4 +np.float32,0x3e722a6b,0x3e76c89a,4 +np.float32,0xff2b0478,0xbddccb5f,4 +np.float32,0xbf7bd85b,0xbfc06821,4 +np.float32,0x3ec33600,0x3ecd4126,4 +np.float32,0x3e0a43b9,0x3e0b1c69,4 +np.float32,0x7f7511b6,0xbe427083,4 +np.float32,0x3f28c114,0x3f465a73,4 +np.float32,0x3f179e1c,0x3f2c3e7c,4 +np.float32,0x7b2963,0x7b2963,4 +np.float32,0x3f423d06,0x3f72b442,4 +np.float32,0x3f5a24c6,0x3f925508,4 +np.float32,0xff18c834,0xbf79b5c8,4 +np.float32,0x3f401ece,0x3f6eb6ac,4 +np.float32,0x7b8a3013,0xbffab968,4 +np.float32,0x80091ff0,0x80091ff0,4 +np.float32,0x3f389c51,0x3f610b47,4 +np.float32,0x5ea174,0x5ea174,4 +np.float32,0x807a9eb2,0x807a9eb2,4 +np.float32,0x806ce61e,0x806ce61e,4 +np.float32,0xbe956acc,0xbe99cefc,4 +np.float32,0x7e60e247,0xbf5e64a5,4 +np.float32,0x7f398e24,0x404d12ed,4 +np.float32,0x3d9049f8,0x3d908735,4 +np.float32,0x7db17ffc,0xbf5b3d87,4 +np.float32,0xff453f78,0xc0239c9f,4 +np.float32,0x3f024aac,0x3f0ed802,4 +np.float32,0xbe781c30,0xbe7d1508,4 +np.float32,0x3f77962a,0x3fb9a28e,4 +np.float32,0xff7fffff,0x3f1c9eca,4 +np.float32,0x3f7152e3,0x3fb03f9d,4 +np.float32,0xff7cb167,0x3f9ce831,4 +np.float32,0x3e763e30,0x3e7b1a10,4 +np.float32,0xbf126527,0xbf24c253,4 +np.float32,0x803f6660,0x803f6660,4 +np.float32,0xbf79de38,0xbfbd38b1,4 +np.float32,0x8046c2f0,0x8046c2f0,4 +np.float32,0x6dc74e,0x6dc74e,4 +np.float32,0xbec9c45e,0xbed4e768,4 +np.float32,0x3f0eedb6,0x3f1fe610,4 +np.float32,0x7e031999,0xbcc13026,4 +np.float32,0x7efc2fd7,0x41e4b284,4 +np.float32,0xbeab7454,0xbeb22a1b,4 +np.float32,0x805ee67b,0x805ee67b,4 +np.float32,0x7f76e58e,0xc2436659,4 +np.float32,0xbe62b024,0xbe667718,4 +np.float32,0x3eea0808,0x3efbd182,4 +np.float32,0xbf7fd00c,0xbfc70719,4 +np.float32,0x7f27b640,0xbf0d97e0,4 +np.float32,0x3f1b58a4,0x3f31b6f4,4 +np.float32,0x252a9f,0x252a9f,4 +np.float32,0x7f65f95a,0xbead5de3,4 +np.float32,0xfc6ea780,0x42d15801,4 +np.float32,0x7eac4c52,0xc0682424,4 +np.float32,0xbe8a3f5a,0xbe8db54d,4 +np.float32,0xbf1644e2,0xbf2a4abd,4 +np.float32,0x3fc96a,0x3fc96a,4 +np.float32,0x7f38c0e4,0x3cc04af8,4 +np.float32,0x3f623d75,0x3f9c065d,4 +np.float32,0x3ee6a51a,0x3ef7a058,4 +np.float32,0x3dd11020,0x3dd1cacf,4 +np.float32,0xb6918,0xb6918,4 +np.float32,0xfdd7a540,0x3f22f081,4 +np.float32,0x80798563,0x80798563,4 +np.float32,0x3e9a8b7a,0x3e9f6a7e,4 +np.float32,0xbea515d4,0xbeab0df5,4 +np.float32,0xbea9b9f4,0xbeb03abe,4 +np.float32,0xbf11a5fa,0xbf23b478,4 +np.float32,0xfd6cadf0,0xbfa2a878,4 +np.float32,0xbf6edd07,0xbfacbb78,4 +np.float32,0xff5c5328,0x3e2d1552,4 +np.float32,0xbea2f788,0xbea8b3f5,4 +np.float32,0x802efaeb,0x802efaeb,4 +np.float32,0xff1c85e5,0x41f8560e,4 +np.float32,0x3f53b123,0x3f8b18e1,4 +np.float32,0xff798c4a,0x4092e66f,4 +np.float32,0x7f2e6fe7,0xbdcbd58f,4 +np.float32,0xfe8a8196,0x3fd7fc56,4 +np.float32,0x5e7ad4,0x5e7ad4,4 +np.float32,0xbf23a02d,0xbf3e4533,4 +np.float32,0x3f31c55c,0x3f5531bf,4 +np.float32,0x80331be3,0x80331be3,4 +np.float32,0x8056960a,0x8056960a,4 +np.float32,0xff1c06ae,0xbfd26992,4 +np.float32,0xbe0cc4b0,0xbe0da96c,4 +np.float32,0x7e925ad5,0xbf8dba54,4 +np.float32,0x2c8cec,0x2c8cec,4 +np.float32,0x8011951e,0x8011951e,4 +np.float32,0x3f2caf84,0x3f4cb89f,4 +np.float32,0xbd32c220,0xbd32df33,4 +np.float32,0xbec358d6,0xbecd6996,4 +np.float32,0x3f6e4930,0x3fabeb92,4 +np.float32,0xbf6a3afd,0xbfa65a3a,4 +np.float32,0x80067764,0x80067764,4 +np.float32,0x3d8df1,0x3d8df1,4 +np.float32,0x7ee51cf2,0x409e4061,4 +np.float32,0x435f5d,0x435f5d,4 +np.float32,0xbf5b17f7,0xbf936ebe,4 +np.float32,0x3ecaacb5,0x3ed5f81f,4 +np.float32,0x807b0aa5,0x807b0aa5,4 +np.float32,0x52b40b,0x52b40b,4 +np.float32,0x146a97,0x146a97,4 +np.float32,0x7f42b952,0xbfdcb413,4 +np.float32,0xbf1a1af2,0xbf2fe1bb,4 +np.float32,0x3f312034,0x3f541aa2,4 +np.float32,0x3f281d60,0x3f4554f9,4 +np.float32,0x50e451,0x50e451,4 +np.float32,0xbe45838c,0xbe480016,4 +np.float32,0xff7d0aeb,0x3eb0746e,4 +np.float32,0x7f32a489,0xbf96af6d,4 +np.float32,0xbf1b4e27,0xbf31a769,4 +np.float32,0x3f242936,0x3f3f1a44,4 +np.float32,0xbf7482ff,0xbfb4f201,4 +np.float32,0x4bda38,0x4bda38,4 +np.float32,0xbf022208,0xbf0ea2bb,4 +np.float32,0x7d08ca95,0xbe904602,4 +np.float32,0x7ed2f356,0xc02b55ad,4 +np.float32,0xbf131204,0xbf25b734,4 +np.float32,0xff3464b4,0x3fb23706,4 +np.float32,0x5a97cf,0x5a97cf,4 +np.float32,0xbe52db70,0xbe55e388,4 +np.float32,0x3f52934f,0x3f89e2aa,4 +np.float32,0xfeea866a,0x40a2b33f,4 +np.float32,0x80333925,0x80333925,4 +np.float32,0xfef5d13e,0xc00139ec,4 +np.float32,0x3f4750ab,0x3f7c87ad,4 +np.float32,0x3e41bfdd,0x3e44185a,4 +np.float32,0xbf5b0572,0xbf935935,4 +np.float32,0xbe93c9da,0xbe9808d8,4 +np.float32,0x7f501f33,0xc0f9973c,4 +np.float32,0x800af035,0x800af035,4 +np.float32,0x3f29faf8,0x3f4852a8,4 +np.float32,0xbe1e4c20,0xbe1f920c,4 +np.float32,0xbf7e8616,0xbfc4d79d,4 +np.float32,0x43ffbf,0x43ffbf,4 +np.float32,0x7f28e8a9,0xbfa1ac24,4 +np.float32,0xbf1f9f92,0xbf3820bc,4 +np.float32,0x3f07e004,0x3f1641c4,4 +np.float32,0x3ef7ea7f,0x3f06a64a,4 +np.float32,0x7e013101,0x3f6080e6,4 +np.float32,0x7f122a4f,0xbf0a796f,4 +np.float32,0xfe096960,0x3ed7273a,4 +np.float32,0x3f06abf1,0x3f14a4b2,4 +np.float32,0x3e50ded3,0x3e53d0f1,4 +np.float32,0x7f50b346,0x3eabb536,4 +np.float32,0xff5adb0f,0xbd441972,4 +np.float32,0xbecefe46,0xbedb0f66,4 +np.float32,0x7da70bd4,0xbec66273,4 +np.float32,0x169811,0x169811,4 +np.float32,0xbee4dfee,0xbef5721a,4 +np.float32,0x3efbeae3,0x3f0936e6,4 +np.float32,0x8031bd61,0x8031bd61,4 +np.float32,0x8048e443,0x8048e443,4 +np.float32,0xff209aa6,0xbeb364cb,4 +np.float32,0xff477499,0x3c1b0041,4 +np.float32,0x803fe929,0x803fe929,4 +np.float32,0x3f70158b,0x3fae7725,4 +np.float32,0x7f795723,0x3e8e850a,4 +np.float32,0x3cba99,0x3cba99,4 +np.float32,0x80588d2a,0x80588d2a,4 +np.float32,0x805d1f05,0x805d1f05,4 +np.float32,0xff4ac09a,0xbefe614d,4 +np.float32,0x804af084,0x804af084,4 +np.float32,0x7c64ae63,0xc1a8b563,4 +np.float32,0x8078d793,0x8078d793,4 +np.float32,0x7f3e2436,0xbf8bf9d3,4 +np.float32,0x7ccec1,0x7ccec1,4 +np.float32,0xbf6462c7,0xbf9eb830,4 +np.float32,0x3f1002ca,0x3f216843,4 +np.float32,0xfe878ca6,0x409e73a5,4 +np.float32,0x3bd841d9,0x3bd842a7,4 +np.float32,0x7d406f41,0xbd9dcfa3,4 +np.float32,0x7c6d6,0x7c6d6,4 +np.float32,0x3f4ef360,0x3f86074b,4 +np.float32,0x805f534a,0x805f534a,4 +np.float32,0x1,0x1,4 +np.float32,0x3f739ee2,0x3fb39db2,4 +np.float32,0x3d0c2352,0x3d0c3153,4 +np.float32,0xfe8a4f2c,0x3edd8add,4 +np.float32,0x3e52eaa0,0x3e55f362,4 +np.float32,0x7bde9758,0xbf5ba5cf,4 +np.float32,0xff422654,0xbf41e487,4 +np.float32,0x385e5b,0x385e5b,4 +np.float32,0x5751dd,0x5751dd,4 +np.float32,0xff6c671c,0xc03e2d6d,4 +np.float32,0x1458be,0x1458be,4 +np.float32,0x80153d4d,0x80153d4d,4 +np.float32,0x7efd2adb,0x3e25458f,4 +np.float32,0xbe161880,0xbe172e12,4 +np.float32,0x7ecea1aa,0x40a66d79,4 +np.float32,0xbf5b02a2,0xbf9355f0,4 +np.float32,0x15d9ab,0x15d9ab,4 +np.float32,0x2dc7c7,0x2dc7c7,4 +np.float32,0xfebbf81a,0x4193f6e6,4 +np.float32,0xfe8e3594,0xc00a6695,4 +np.float32,0x185aa8,0x185aa8,4 +np.float32,0x3daea156,0x3daf0e00,4 +np.float32,0x3e071688,0x3e07e08e,4 +np.float32,0x802db9e6,0x802db9e6,4 +np.float32,0x7f7be2c4,0x3f1363dd,4 +np.float32,0x7eba3f5e,0xc13eb497,4 +np.float32,0x3de04a00,0x3de130a9,4 +np.float32,0xbf1022bc,0xbf2194eb,4 +np.float32,0xbf5b547e,0xbf93b53b,4 +np.float32,0x3e867bd6,0x3e89aa10,4 +np.float32,0xbea5eb5c,0xbeabfb73,4 +np.float32,0x7f1efae9,0x3ffca038,4 +np.float32,0xff5d0344,0xbe55dbbb,4 +np.float32,0x805167e7,0x805167e7,4 +np.float32,0xbdb3a020,0xbdb41667,4 +np.float32,0xbedea6b4,0xbeedd5fd,4 +np.float32,0x8053b45c,0x8053b45c,4 +np.float32,0x7ed370e9,0x3d90eba5,4 +np.float32,0xbefcd7da,0xbf09cf91,4 +np.float32,0x78b9ac,0x78b9ac,4 +np.float32,0xbf2f6dc0,0xbf5141ef,4 +np.float32,0x802d3a7b,0x802d3a7b,4 +np.float32,0xfd45d120,0x3fec31cc,4 +np.float32,0xbf7e7020,0xbfc4b2af,4 +np.float32,0xf04da,0xf04da,4 +np.float32,0xbe9819d4,0xbe9cbd35,4 +np.float32,0x8075ab35,0x8075ab35,4 +np.float32,0xbf052fdc,0xbf12aa2c,4 +np.float32,0x3f1530d0,0x3f28bd9f,4 +np.float32,0x80791881,0x80791881,4 +np.float32,0x67f309,0x67f309,4 +np.float32,0x3f12f16a,0x3f2588f5,4 +np.float32,0x3ecdac47,0x3ed97ff8,4 +np.float32,0xbf297fb7,0xbf478c39,4 +np.float32,0x8069fa80,0x8069fa80,4 +np.float32,0x807f940e,0x807f940e,4 +np.float32,0xbf648dc8,0xbf9eeecb,4 +np.float32,0x3de873b0,0x3de9748d,4 +np.float32,0x3f1aa645,0x3f30af1f,4 +np.float32,0xff227a62,0x3d8283cc,4 +np.float32,0xbf37187d,0xbf5e5f4c,4 +np.float32,0x803b1b1f,0x803b1b1f,4 +np.float32,0x3f58142a,0x3f8ff8da,4 +np.float32,0x8004339e,0x8004339e,4 +np.float32,0xbf0f5654,0xbf2077a4,4 +np.float32,0x3f17e509,0x3f2ca598,4 +np.float32,0x3f800000,0x3fc75923,4 +np.float32,0xfdf79980,0x42f13047,4 +np.float32,0x7f111381,0x3f13c4c9,4 +np.float32,0xbea40c70,0xbea9e724,4 +np.float32,0x110520,0x110520,4 +np.float32,0x60490d,0x60490d,4 +np.float32,0x3f6703ec,0x3fa21951,4 +np.float32,0xbf098256,0xbf187652,4 +np.float32,0x658951,0x658951,4 +np.float32,0x3f53bf16,0x3f8b2818,4 +np.float32,0xff451811,0xc0026068,4 +np.float32,0x80777ee0,0x80777ee0,4 +np.float32,0x3e4fcc19,0x3e52b286,4 +np.float32,0x7f387ee0,0x3ce93eb6,4 +np.float32,0xff51181f,0xbfca3ee4,4 +np.float32,0xbf5655ae,0xbf8e0304,4 +np.float32,0xff2f1dcd,0x40025471,4 +np.float32,0x7f6e58e5,0xbe9930d5,4 +np.float32,0x7adf11,0x7adf11,4 +np.float32,0xbe9a2bc2,0xbe9f0185,4 +np.float32,0x8065d3a0,0x8065d3a0,4 +np.float32,0x3ed6e826,0x3ee47c45,4 +np.float32,0x80598ea0,0x80598ea0,4 +np.float32,0x7f10b90a,0x40437bd0,4 +np.float32,0x27b447,0x27b447,4 +np.float32,0x7ecd861c,0x3fce250f,4 +np.float32,0x0,0x0,4 +np.float32,0xbeba82d6,0xbec3394c,4 +np.float32,0xbf4958b0,0xbf8048ea,4 +np.float32,0x7c643e,0x7c643e,4 +np.float32,0x580770,0x580770,4 +np.float32,0x805bf54a,0x805bf54a,4 +np.float32,0x7f1f3cee,0xbe1a54d6,4 +np.float32,0xfefefdea,0x3fa84576,4 +np.float32,0x7f007b7a,0x3e8a6d25,4 +np.float32,0xbf177959,0xbf2c0919,4 +np.float32,0xbf30fda0,0xbf53e058,4 +np.float32,0x3f0576be,0x3f130861,4 +np.float32,0x3f49380e,0x3f80283a,4 +np.float32,0xebc56,0xebc56,4 +np.float32,0x654e3b,0x654e3b,4 +np.float32,0x14a4d8,0x14a4d8,4 +np.float32,0xff69b3cb,0xbf822a88,4 +np.float32,0xbe9b6c1c,0xbea06109,4 +np.float32,0xbefddd7e,0xbf0a787b,4 +np.float32,0x4c4ebb,0x4c4ebb,4 +np.float32,0x7d0a74,0x7d0a74,4 +np.float32,0xbebb5f80,0xbec43635,4 +np.float32,0x7ee79723,0xc1c7f3f3,4 +np.float32,0x7f2be4c7,0xbfa6c693,4 +np.float32,0x805bc7d5,0x805bc7d5,4 +np.float32,0x8042f12c,0x8042f12c,4 +np.float32,0x3ef91be8,0x3f07697b,4 +np.float32,0x3cf37ac0,0x3cf38d1c,4 +np.float32,0x800000,0x800000,4 +np.float32,0xbe1ebf4c,0xbe200806,4 +np.float32,0x7f380862,0xbeb512e8,4 +np.float32,0xbe320064,0xbe33d0fc,4 +np.float32,0xff300b0c,0xbfadb805,4 +np.float32,0x308a06,0x308a06,4 +np.float32,0xbf084f6e,0xbf16d7b6,4 +np.float32,0xff47cab6,0x3f892b65,4 +np.float32,0xbed99f4a,0xbee7bfd5,4 +np.float32,0xff7d74c0,0x3ee88c9a,4 +np.float32,0x3c3d23,0x3c3d23,4 +np.float32,0x8074bde8,0x8074bde8,4 +np.float32,0x80042164,0x80042164,4 +np.float32,0x3e97c92a,0x3e9c6500,4 +np.float32,0x3b80e0,0x3b80e0,4 +np.float32,0xbf16646a,0xbf2a783d,4 +np.float32,0x7f3b4cb1,0xc01339be,4 +np.float32,0xbf31f36e,0xbf557fd0,4 +np.float32,0x7f540618,0xbe5f6fc1,4 +np.float32,0x7eee47d0,0x40a27e94,4 +np.float32,0x7f12f389,0xbebed654,4 +np.float32,0x56cff5,0x56cff5,4 +np.float32,0x8056032b,0x8056032b,4 +np.float32,0x3ed34e40,0x3ee02e38,4 +np.float32,0x7d51a908,0xbf19a90e,4 +np.float32,0x80000000,0x80000000,4 +np.float32,0xfdf73fd0,0xbf0f8cad,4 +np.float32,0x7ee4fe6d,0xbf1ea7e4,4 +np.float32,0x1f15ba,0x1f15ba,4 +np.float32,0xd18c3,0xd18c3,4 +np.float32,0x80797705,0x80797705,4 +np.float32,0x7ef07091,0x3f2f3b9a,4 +np.float32,0x7f552f41,0x3faf608c,4 +np.float32,0x3f779977,0x3fb9a7ad,4 +np.float32,0xfe1a7a50,0xbdadc4d1,4 +np.float32,0xbf449cf0,0xbf7740db,4 +np.float32,0xbe44e620,0xbe475cad,4 +np.float32,0x3f63a098,0x3f9dc2b5,4 +np.float32,0xfed40a12,0x4164533a,4 +np.float32,0x7a2bbb,0x7a2bbb,4 +np.float32,0xff7f7b9e,0xbeee8740,4 +np.float32,0x7ee27f8b,0x4233f53b,4 +np.float32,0xbf044c06,0xbf117c28,4 +np.float32,0xbeffde54,0xbf0bc49f,4 +np.float32,0xfeaef2e8,0x3ff258fe,4 +np.float32,0x527451,0x527451,4 +np.float32,0xbcef8d00,0xbcef9e7c,4 +np.float32,0xbf0e20c0,0xbf1ec9b2,4 +np.float32,0x8024afda,0x8024afda,4 +np.float32,0x7ef6cb3e,0x422cad0b,4 +np.float32,0x3c120,0x3c120,4 +np.float32,0xbf125c8f,0xbf24b62c,4 +np.float32,0x7e770a93,0x402c9d86,4 +np.float32,0xbd30a4e0,0xbd30c0ee,4 +np.float32,0xbf4d3388,0xbf843530,4 +np.float32,0x3f529072,0x3f89df92,4 +np.float32,0xff0270b1,0xbf81be9a,4 +np.float32,0x5e07e7,0x5e07e7,4 +np.float32,0x7bec32,0x7bec32,4 +np.float32,0x7fc00000,0x7fc00000,4 +np.float32,0x3e3ba5e0,0x3e3dc6e9,4 +np.float32,0x3ecb62d4,0x3ed6ce2c,4 +np.float32,0x3eb3dde8,0x3ebba68f,4 +np.float32,0x8063f952,0x8063f952,4 +np.float32,0x7f204aeb,0x3e88614e,4 +np.float32,0xbeae1ddc,0xbeb5278e,4 +np.float32,0x6829e9,0x6829e9,4 +np.float32,0xbf361a99,0xbf5ca354,4 +np.float32,0xbf24fbe6,0xbf406326,4 +np.float32,0x3f329d41,0x3f56a061,4 +np.float32,0xfed6d666,0x3e8f71a5,4 +np.float32,0x337f92,0x337f92,4 +np.float32,0xbe1c4970,0xbe1d8305,4 +np.float32,0xbe6b7e18,0xbe6fbbde,4 +np.float32,0x3f2267b9,0x3f3c61da,4 +np.float32,0xbee1ee94,0xbef1d628,4 +np.float32,0x7ecffc1a,0x3f02987e,4 +np.float32,0xbe9b1306,0xbe9fff3b,4 +np.float32,0xbeffacae,0xbf0ba468,4 +np.float32,0x7f800000,0xffc00000,4 +np.float32,0xfefc9aa8,0xc19de2a3,4 +np.float32,0x7d7185bb,0xbf9090ec,4 +np.float32,0x7edfbafd,0x3fe9352f,4 +np.float32,0x4ef2ec,0x4ef2ec,4 +np.float32,0x7f4cab2e,0xbff4e5dd,4 +np.float32,0xff3b1788,0x3e3c22e9,4 +np.float32,0x4e15ee,0x4e15ee,4 +np.float32,0xbf5451e6,0xbf8bc8a7,4 +np.float32,0x3f7f6d2e,0x3fc65e8b,4 +np.float32,0xbf1d9184,0xbf35071b,4 +np.float32,0xbf3a81cf,0xbf646d9b,4 +np.float32,0xbe71acc4,0xbe7643ab,4 +np.float32,0x528b7d,0x528b7d,4 +np.float32,0x2cb1d0,0x2cb1d0,4 +np.float32,0x3f324bf8,0x3f56161a,4 +np.float32,0x80709a21,0x80709a21,4 +np.float32,0x4bc448,0x4bc448,4 +np.float32,0x3e8bd600,0x3e8f6b7a,4 +np.float32,0xbeb97d30,0xbec20dd6,4 +np.float32,0x2a5669,0x2a5669,4 +np.float32,0x805f2689,0x805f2689,4 +np.float32,0xfe569f50,0x3fc51952,4 +np.float32,0x1de44c,0x1de44c,4 +np.float32,0x3ec7036c,0x3ed1ae67,4 +np.float32,0x8052b8e5,0x8052b8e5,4 +np.float32,0xff740a6b,0x3f4981a8,4 +np.float32,0xfee9bb70,0xc05e23be,4 +np.float32,0xff4e12c9,0x4002b4ad,4 +np.float32,0x803de0c2,0x803de0c2,4 +np.float32,0xbf433a07,0xbf74966f,4 +np.float32,0x803e60ca,0x803e60ca,4 +np.float32,0xbf19ee98,0xbf2fa07a,4 +np.float32,0x92929,0x92929,4 +np.float32,0x7f709c27,0x4257ba2d,4 +np.float32,0x803167c6,0x803167c6,4 +np.float32,0xbf095ead,0xbf184607,4 +np.float32,0x617060,0x617060,4 +np.float32,0x2d85b3,0x2d85b3,4 +np.float32,0x53d20b,0x53d20b,4 +np.float32,0x3e046838,0x3e052666,4 +np.float32,0xbe7c5fdc,0xbe80ce4b,4 +np.float32,0x3d18d060,0x3d18e289,4 +np.float32,0x804dc031,0x804dc031,4 +np.float32,0x3f224166,0x3f3c26cd,4 +np.float32,0x7d683e3c,0xbea24f25,4 +np.float32,0xbf3a92aa,0xbf648be4,4 +np.float32,0x8072670b,0x8072670b,4 +np.float32,0xbe281aec,0xbe29a1bc,4 +np.float32,0x7f09d918,0xc0942490,4 +np.float32,0x7ca9fd07,0x4018b990,4 +np.float32,0x7d36ac5d,0x3cf57184,4 +np.float32,0x8039b62f,0x8039b62f,4 +np.float32,0x6cad7b,0x6cad7b,4 +np.float32,0x3c0fd9ab,0x3c0fda9d,4 +np.float32,0x80299883,0x80299883,4 +np.float32,0x3c2d0e3e,0x3c2d0fe4,4 +np.float32,0x8002cf62,0x8002cf62,4 +np.float32,0x801dde97,0x801dde97,4 +np.float32,0x80411856,0x80411856,4 +np.float32,0x6ebce8,0x6ebce8,4 +np.float32,0x7b7d1a,0x7b7d1a,4 +np.float32,0x8031d3de,0x8031d3de,4 +np.float32,0x8005c4ab,0x8005c4ab,4 +np.float32,0xbf7dd803,0xbfc3b3ef,4 +np.float32,0x8017ae60,0x8017ae60,4 +np.float32,0xfe9316ce,0xbfe0544a,4 +np.float32,0x3f136bfe,0x3f2636ff,4 +np.float32,0x3df87b80,0x3df9b57d,4 +np.float32,0xff44c356,0xbf11c7ad,4 +np.float32,0x4914ae,0x4914ae,4 +np.float32,0x80524c21,0x80524c21,4 +np.float32,0x805c7dc8,0x805c7dc8,4 +np.float32,0xfed3c0aa,0xbff0c0ab,4 +np.float32,0x7eb2bfbb,0xbf4600bc,4 +np.float32,0xfec8df84,0x3f5bd350,4 +np.float32,0x3e5431a4,0x3e5748c3,4 +np.float32,0xbee6a3a0,0xbef79e86,4 +np.float32,0xbf6cc9b2,0xbfa9d61a,4 +np.float32,0x3f132bd5,0x3f25dbd9,4 +np.float32,0x7e6d2e48,0x3f9d025b,4 +np.float32,0x3edf430c,0x3eee942d,4 +np.float32,0x3f0d1b8a,0x3f1d60e1,4 +np.float32,0xbdf2f688,0xbdf41bfb,4 +np.float32,0xbe47a284,0xbe4a33ff,4 +np.float32,0x3eaa9fbc,0x3eb13be7,4 +np.float32,0xfe98d45e,0x3eb84517,4 +np.float32,0x7efc23b3,0x3dcc1c99,4 +np.float32,0x3ca36242,0x3ca367ce,4 +np.float32,0x3f76a944,0x3fb834e3,4 +np.float32,0xbf45207c,0xbf783f9b,4 +np.float32,0x3e7c1220,0x3e80a4f8,4 +np.float32,0x3f018200,0x3f0dd14e,4 +np.float32,0x3f53cdde,0x3f8b3839,4 +np.float32,0xbdbacb58,0xbdbb5063,4 +np.float32,0x804af68d,0x804af68d,4 +np.float32,0x3e2c12fc,0x3e2db65b,4 +np.float32,0x3f039433,0x3f10895a,4 +np.float32,0x7ef5193d,0x3f4115f7,4 +np.float32,0x8030afbe,0x8030afbe,4 +np.float32,0x3f06fa2a,0x3f150d5d,4 +np.float32,0x3f124442,0x3f2493d2,4 +np.float32,0xbeb5b792,0xbebdc090,4 +np.float32,0xbedc90a4,0xbeeb4de9,4 +np.float32,0x3f3ff8,0x3f3ff8,4 +np.float32,0x3ee75bc5,0x3ef881e4,4 +np.float32,0xfe80e3de,0xbf5cd535,4 +np.float32,0xf52eb,0xf52eb,4 +np.float32,0x80660ee8,0x80660ee8,4 +np.float32,0x3e173a58,0x3e185648,4 +np.float32,0xfe49520c,0xbf728d7c,4 +np.float32,0xbecbb8ec,0xbed73373,4 +np.float32,0xbf027ae0,0xbf0f173e,4 +np.float32,0xbcab6740,0xbcab6da8,4 +np.float32,0xbf2a15e2,0xbf487e11,4 +np.float32,0x3b781b,0x3b781b,4 +np.float32,0x44f559,0x44f559,4 +np.float32,0xff6a0ca6,0xc174d7c3,4 +np.float32,0x6460ef,0x6460ef,4 +np.float32,0xfe58009c,0x3ee2bb30,4 +np.float32,0xfec3c038,0x3e30d617,4 +np.float32,0x7f0687c0,0xbf62c820,4 +np.float32,0xbf44655e,0xbf76d589,4 +np.float32,0xbf42968c,0xbf735e78,4 +np.float32,0x80385503,0x80385503,4 +np.float32,0xbea7e3a2,0xbeae2d59,4 +np.float32,0x3dd0b770,0x3dd17131,4 +np.float32,0xbf4bc185,0xbf82b907,4 +np.float32,0xfefd7d64,0xbee05650,4 +np.float32,0xfaac3c00,0xbff23bc9,4 +np.float32,0xbf562f0d,0xbf8dd7f4,4 +np.float32,0x7fa00000,0x7fe00000,4 +np.float32,0x3e01bdb8,0x3e027098,4 +np.float32,0x3e2868ab,0x3e29f19e,4 +np.float32,0xfec55f2e,0x3f39f304,4 +np.float32,0xed4e,0xed4e,4 +np.float32,0x3e2b7330,0x3e2d11fa,4 +np.float32,0x7f738542,0x40cbbe16,4 +np.float32,0x3f123521,0x3f247e71,4 +np.float32,0x73572c,0x73572c,4 +np.float32,0x804936c8,0x804936c8,4 +np.float32,0x803b80d8,0x803b80d8,4 +np.float32,0x7f566c57,0xbee2855a,4 +np.float32,0xff0e3bd8,0xbff0543f,4 +np.float32,0x7d2b2fe7,0xbf94ba4c,4 +np.float32,0xbf0da470,0xbf1e1dc2,4 +np.float32,0xbd276500,0xbd277ce0,4 +np.float32,0xfcd15dc0,0x403ccc2a,4 +np.float32,0x80071e59,0x80071e59,4 +np.float32,0xbe9b0c34,0xbe9ff7be,4 +np.float32,0x3f4f9069,0x3f86ac50,4 +np.float32,0x80042a95,0x80042a95,4 +np.float32,0x7de28e39,0x3bc9b7f4,4 +np.float32,0xbf641935,0xbf9e5af8,4 +np.float32,0x8034f068,0x8034f068,4 +np.float32,0xff33a3d2,0xbf408e75,4 +np.float32,0xbcc51540,0xbcc51efc,4 +np.float32,0xff6d1ddf,0x3ef58f0e,4 +np.float32,0xbf64dfc4,0xbf9f5725,4 +np.float32,0xff068a06,0x3eea8987,4 +np.float32,0xff01c0af,0x3f24cdfe,4 +np.float32,0x3f4def7e,0x3f84f802,4 +np.float32,0xbf1b4ae7,0xbf31a299,4 +np.float32,0x8077df2d,0x8077df2d,4 +np.float32,0x3f0155c5,0x3f0d9785,4 +np.float32,0x5a54b2,0x5a54b2,4 +np.float32,0x7f271f9e,0x3efb2ef3,4 +np.float32,0xbf0ff2ec,0xbf215217,4 +np.float32,0x7f500130,0xbf8a7fdd,4 +np.float32,0xfed9891c,0xbf65c872,4 +np.float32,0xfecbfaae,0x403bdbc2,4 +np.float32,0x3f3a5aba,0x3f642772,4 +np.float32,0x7ebc681e,0xbd8df059,4 +np.float32,0xfe05e400,0xbfe35d74,4 +np.float32,0xbf295ace,0xbf4750ea,4 +np.float32,0x7ea055b2,0x3f62d6be,4 +np.float32,0xbd00b520,0xbd00bff9,4 +np.float32,0xbf7677aa,0xbfb7e8cf,4 +np.float32,0x3e83f788,0x3e86f816,4 +np.float32,0x801f6710,0x801f6710,4 +np.float32,0x801133cc,0x801133cc,4 +np.float32,0x41da2a,0x41da2a,4 +np.float32,0xff1622fd,0x3f023650,4 +np.float32,0x806c7a72,0x806c7a72,4 +np.float32,0x3f10779c,0x3f220bb4,4 +np.float32,0xbf08cf94,0xbf17848d,4 +np.float32,0xbecb55b4,0xbed6bebd,4 +np.float32,0xbf0a1528,0xbf193d7b,4 +np.float32,0x806a16bd,0x806a16bd,4 +np.float32,0xc222a,0xc222a,4 +np.float32,0x3930de,0x3930de,4 +np.float32,0x3f5c3588,0x3f94bca2,4 +np.float32,0x1215ad,0x1215ad,4 +np.float32,0x3ed15030,0x3eddcf67,4 +np.float32,0x7da83b2e,0x3fce0d39,4 +np.float32,0x32b0a8,0x32b0a8,4 +np.float32,0x805aed6b,0x805aed6b,4 +np.float32,0x3ef8e02f,0x3f074346,4 +np.float32,0xbdeb6780,0xbdec7250,4 +np.float32,0x3f6e3cec,0x3fabda61,4 +np.float32,0xfefd467a,0x3ef7821a,4 +np.float32,0xfef090fe,0x3bb752a2,4 +np.float32,0x8019c538,0x8019c538,4 +np.float32,0x3e8cf284,0x3e909e81,4 +np.float32,0xbe6c6618,0xbe70b0a2,4 +np.float32,0x7f50a539,0x3f367be1,4 +np.float32,0x8019fe2f,0x8019fe2f,4 +np.float32,0x800c3f48,0x800c3f48,4 +np.float32,0xfd054cc0,0xc0f52802,4 +np.float32,0x3d0cca20,0x3d0cd853,4 +np.float32,0xbf4a7c44,0xbf816e74,4 +np.float32,0x3f46fc40,0x3f7be153,4 +np.float32,0x807c5849,0x807c5849,4 +np.float32,0xd7e41,0xd7e41,4 +np.float32,0x70589b,0x70589b,4 +np.float32,0x80357b95,0x80357b95,4 +np.float32,0x3de239f0,0x3de326a5,4 +np.float32,0x800b08e3,0x800b08e3,4 +np.float32,0x807ec946,0x807ec946,4 +np.float32,0x3e2e4b83,0x3e2fff76,4 +np.float32,0x3f198e0f,0x3f2f12a6,4 +np.float32,0xbecb1aca,0xbed67979,4 +np.float32,0x80134082,0x80134082,4 +np.float32,0x3f3a269f,0x3f63ca05,4 +np.float32,0x3f1381e4,0x3f265622,4 +np.float32,0xff293080,0xbf10be6f,4 +np.float32,0xff800000,0xffc00000,4 +np.float32,0x37d196,0x37d196,4 +np.float32,0x7e57eea7,0x3e7d8138,4 +np.float32,0x804b1dae,0x804b1dae,4 +np.float32,0x7d9508f9,0xc1075b35,4 +np.float32,0x3f7bf468,0x3fc095e0,4 +np.float32,0x55472c,0x55472c,4 +np.float32,0x3ecdcd86,0x3ed9a738,4 +np.float32,0x3ed9be0f,0x3ee7e4e9,4 +np.float32,0x3e7e0ddb,0x3e81b2fe,4 +np.float32,0x7ee6c1d3,0x3f850634,4 +np.float32,0x800f6fad,0x800f6fad,4 +np.float32,0xfefb3bd6,0xbff68ecc,4 +np.float32,0x8013d6e2,0x8013d6e2,4 +np.float32,0x3f3a2cb6,0x3f63d4ee,4 +np.float32,0xff383c84,0x3e7854bb,4 +np.float32,0x3f21946e,0x3f3b1cea,4 +np.float32,0xff322ea2,0x3fb22f31,4 +np.float32,0x8065a024,0x8065a024,4 +np.float32,0x7f395e30,0xbefe0de1,4 +np.float32,0x5b52db,0x5b52db,4 +np.float32,0x7f7caea7,0x3dac8ded,4 +np.float32,0xbf0431f8,0xbf1159b2,4 +np.float32,0x7f15b25b,0xc02a3833,4 +np.float32,0x80131abc,0x80131abc,4 +np.float32,0x7e829d81,0xbeb2e93d,4 +np.float32,0x3f2c64d7,0x3f4c3e4d,4 +np.float32,0x7f228d48,0xc1518c74,4 +np.float32,0xfc3c6f40,0xbf00d585,4 +np.float32,0x7f754f0f,0x3e2152f5,4 +np.float32,0xff65d32b,0xbe8bd56c,4 +np.float32,0xfea6b8c0,0x41608655,4 +np.float32,0x3f7d4b05,0x3fc2c96a,4 +np.float32,0x3f463230,0x3f7a54da,4 +np.float32,0x805117bb,0x805117bb,4 +np.float32,0xbf2ad4f7,0xbf49b30e,4 +np.float32,0x3eaa01ff,0x3eb08b56,4 +np.float32,0xff7a02bb,0x3f095f73,4 +np.float32,0x759176,0x759176,4 +np.float32,0x803c18d5,0x803c18d5,4 +np.float32,0xbe0722d8,0xbe07ed16,4 +np.float32,0x3f4b4a99,0x3f823fc6,4 +np.float32,0x3f7d0451,0x3fc25463,4 +np.float32,0xfee31e40,0xbfb41091,4 +np.float32,0xbf733d2c,0xbfb30cf1,4 +np.float32,0x7ed81015,0x417c380c,4 +np.float32,0x7daafc3e,0xbe2a37ed,4 +np.float32,0x3e44f82b,0x3e476f67,4 +np.float32,0x7c8d99,0x7c8d99,4 +np.float32,0x3f7aec5a,0x3fbee991,4 +np.float32,0xff09fd55,0x3e0709d3,4 +np.float32,0xff4ba4df,0x4173c01f,4 +np.float32,0x3f43d944,0x3f75c7bd,4 +np.float32,0xff6a9106,0x40a10eff,4 +np.float32,0x3bc8341c,0x3bc834bf,4 +np.float32,0x3eea82,0x3eea82,4 +np.float32,0xfea36a3c,0x435729b2,4 +np.float32,0x7dcc1fb0,0x3e330053,4 +np.float32,0x3f616ae6,0x3f9b01ae,4 +np.float32,0x8030963f,0x8030963f,4 +np.float32,0x10d1e2,0x10d1e2,4 +np.float32,0xfeb9a8a6,0x40e6daac,4 +np.float32,0xbe1aba00,0xbe1bea3a,4 +np.float32,0x3cb6b4ea,0x3cb6bcac,4 +np.float32,0x3d8b0b64,0x3d8b422f,4 +np.float32,0x7b6894,0x7b6894,4 +np.float32,0x3e89dcde,0x3e8d4b4b,4 +np.float32,0x3f12b952,0x3f253974,4 +np.float32,0x1c316c,0x1c316c,4 +np.float32,0x7e2da535,0x3f95fe6b,4 +np.float32,0x3ae9a494,0x3ae9a4a4,4 +np.float32,0xbc5f5500,0xbc5f588b,4 +np.float32,0x3e7850fc,0x3e7d4d0e,4 +np.float32,0xbf800000,0xbfc75923,4 +np.float32,0x3e652d69,0x3e691502,4 +np.float32,0xbf6bdd26,0xbfa89129,4 +np.float32,0x3f441cfc,0x3f764a02,4 +np.float32,0x7f5445ff,0xc0906191,4 +np.float32,0x807b2ee3,0x807b2ee3,4 +np.float32,0xbeb6cab8,0xbebef9c0,4 +np.float32,0xff737277,0xbf327011,4 +np.float32,0xfc832aa0,0x402fd52e,4 +np.float32,0xbf0c7538,0xbf1c7c0f,4 +np.float32,0x7e1301c7,0xbf0ee63e,4 +np.float64,0xbfe0ef7df7a1defc,0xbfe2b76a8d8aeb35,1 +np.float64,0x7fdd9c2eae3b385c,0xbfc00d6885485039,1 +np.float64,0xbfb484c710290990,0xbfb4900e0a527555,1 +np.float64,0x7fe73e5d6cee7cba,0x3fefbf70a56b60d3,1 +np.float64,0x800a110aa8d42216,0x800a110aa8d42216,1 +np.float64,0xffedd4f3f3bba9e7,0xbff076f8c4124919,1 +np.float64,0x800093407f812682,0x800093407f812682,1 +np.float64,0x800a23150e54462a,0x800a23150e54462a,1 +np.float64,0xbfb1076864220ed0,0xbfb10dd95a74b733,1 +np.float64,0x3fed1f8b37fa3f16,0x3ff496100985211f,1 +np.float64,0x3fdf762f84beec5f,0x3fe1223eb04a17e0,1 +np.float64,0x53fd4e0aa7faa,0x53fd4e0aa7faa,1 +np.float64,0x3fdbd283bdb7a507,0x3fddb7ec9856a546,1 +np.float64,0xbfe43f449d687e89,0xbfe77724a0d3072b,1 +np.float64,0x618b73bcc316f,0x618b73bcc316f,1 +np.float64,0x67759424ceeb3,0x67759424ceeb3,1 +np.float64,0xbfe4b6f7d9a96df0,0xbfe831371f3bd7a8,1 +np.float64,0x800a531b8b74a637,0x800a531b8b74a637,1 +np.float64,0xffeeffd5c37dffab,0x3fea140cbc2c3726,1 +np.float64,0x3fe648e2002c91c4,0x3feac1b8816f972a,1 +np.float64,0x800f16242a1e2c48,0x800f16242a1e2c48,1 +np.float64,0xffeeff8e1dbdff1b,0xc000b555f117dce7,1 +np.float64,0x3fdf1cf73fbe39f0,0x3fe0e9032401135b,1 +np.float64,0x7fe19c388b633870,0x3fd5271b69317d5b,1 +np.float64,0x918f226d231e5,0x918f226d231e5,1 +np.float64,0x4cc19ab499834,0x4cc19ab499834,1 +np.float64,0xbd3121d57a624,0xbd3121d57a624,1 +np.float64,0xbfd145d334a28ba6,0xbfd1b468866124d6,1 +np.float64,0x8bdbf41517b7f,0x8bdbf41517b7f,1 +np.float64,0x3fd1b8cb3ea37198,0x3fd2306b13396cae,1 +np.float64,0xbfd632a959ac6552,0xbfd7220fcfb5ef78,1 +np.float64,0x1cdaafc639b57,0x1cdaafc639b57,1 +np.float64,0x3febdcce1577b99c,0x3ff2fe076195a2bc,1 +np.float64,0x7fca6e945934dd28,0x3ff43040df7024e8,1 +np.float64,0x3fbe08e78e3c11cf,0x3fbe2c60e6b48f75,1 +np.float64,0x7fc1ed0d0523da19,0x3ff55f8dcad9440f,1 +np.float64,0xbfdc729b8cb8e538,0xbfde7b6e15dd60c4,1 +np.float64,0x3fd219404f243281,0x3fd298d7b3546531,1 +np.float64,0x3fe715c3f56e2b88,0x3fec255b5a59456e,1 +np.float64,0x7fe8b88e74b1711c,0x3ff60efd2c81d13d,1 +np.float64,0xa1d2b9fd43a57,0xa1d2b9fd43a57,1 +np.float64,0xffc1818223230304,0xbfb85c6c1e8018e7,1 +np.float64,0x3fde38ac8b3c7159,0x3fe0580c7e228576,1 +np.float64,0x8008faf7b491f5f0,0x8008faf7b491f5f0,1 +np.float64,0xffe7a1d751af43ae,0xbf7114cd7bbcd981,1 +np.float64,0xffec2db1b4b85b62,0xbff5cae759667f83,1 +np.float64,0x7fefce1ae27f9c35,0x3ff4b8b88f4876cf,1 +np.float64,0x7fd1ff56a523feac,0xbff342ce192f14dd,1 +np.float64,0x80026b3e3f84d67d,0x80026b3e3f84d67d,1 +np.float64,0xffedee5879bbdcb0,0xc02fae11508b2be0,1 +np.float64,0x8003c0dc822781ba,0x8003c0dc822781ba,1 +np.float64,0xffe38a79eca714f4,0xc008aa23b7a63980,1 +np.float64,0xbfda70411eb4e082,0xbfdc0d7e29c89010,1 +np.float64,0x800a5e34f574bc6a,0x800a5e34f574bc6a,1 +np.float64,0x3fc19fac6e233f59,0x3fc1bc66ac0d73d4,1 +np.float64,0x3a8a61ea7514d,0x3a8a61ea7514d,1 +np.float64,0x3fb57b536e2af6a0,0x3fb588451f72f44c,1 +np.float64,0x7fd68c6d082d18d9,0xc032ac926b665c9a,1 +np.float64,0xd5b87cfdab710,0xd5b87cfdab710,1 +np.float64,0xfe80b20bfd017,0xfe80b20bfd017,1 +np.float64,0x3fef8781e37f0f04,0x3ff8215fe2c1315a,1 +np.float64,0xffedddbb9c3bbb76,0x3fd959b82258a32a,1 +np.float64,0x3fc7d41f382fa83e,0x3fc81b94c3a091ba,1 +np.float64,0xffc3275dcf264ebc,0x3fb2b3d4985c6078,1 +np.float64,0x7fe34d2b7ba69a56,0x40001f3618e3c7c9,1 +np.float64,0x3fd64ae35fac95c7,0x3fd73d77e0b730f8,1 +np.float64,0x800e53bf6b3ca77f,0x800e53bf6b3ca77f,1 +np.float64,0xbfddf7c9083bef92,0xbfe02f392744d2d1,1 +np.float64,0x1c237cc038471,0x1c237cc038471,1 +np.float64,0x3fe4172beea82e58,0x3fe739b4bf16bc7e,1 +np.float64,0xfa950523f52a1,0xfa950523f52a1,1 +np.float64,0xffc839a2c5307344,0xbff70ff8a3c9247f,1 +np.float64,0x264f828c4c9f1,0x264f828c4c9f1,1 +np.float64,0x148a650a2914e,0x148a650a2914e,1 +np.float64,0x3fe8d255c0b1a4ac,0x3fef623c3ea8d6e3,1 +np.float64,0x800f4fbb28be9f76,0x800f4fbb28be9f76,1 +np.float64,0x7fdca57bcfb94af7,0x3ff51207563fb6cb,1 +np.float64,0x3fe4944107692882,0x3fe7fad593235364,1 +np.float64,0x800119b4f1a2336b,0x800119b4f1a2336b,1 +np.float64,0xbfe734075e6e680e,0xbfec5b35381069f2,1 +np.float64,0xffeb3c00db767801,0xbfbbd7d22df7b4b3,1 +np.float64,0xbfe95c658cb2b8cb,0xbff03ad5e0bc888a,1 +np.float64,0xffeefeb58fbdfd6a,0xbfd5c9264deb0e11,1 +np.float64,0x7fccc80fde39901f,0xc012c60f914f3ca2,1 +np.float64,0x3fe5da289c2bb451,0x3fea07ad00a0ca63,1 +np.float64,0x800e364b0a5c6c96,0x800e364b0a5c6c96,1 +np.float64,0x3fcf9ea7d23f3d50,0x3fd023b72e8c9dcf,1 +np.float64,0x800a475cfc948eba,0x800a475cfc948eba,1 +np.float64,0xffd4e0d757a9c1ae,0xbfa89d573352e011,1 +np.float64,0xbfd4dbec8229b7da,0xbfd5a165f12c7c40,1 +np.float64,0xffe307ab51260f56,0x3fe6b1639da58c3f,1 +np.float64,0xbfe6955a546d2ab4,0xbfeb44ae2183fee9,1 +np.float64,0xbfca1f18f5343e30,0xbfca7d804ccccdf4,1 +np.float64,0xe9f4dfebd3e9c,0xe9f4dfebd3e9c,1 +np.float64,0xfff0000000000000,0xfff8000000000000,1 +np.float64,0x8008e69c0fb1cd38,0x8008e69c0fb1cd38,1 +np.float64,0xbfead1ccf975a39a,0xbff1c84b3db8ca93,1 +np.float64,0x25a982424b531,0x25a982424b531,1 +np.float64,0x8010000000000000,0x8010000000000000,1 +np.float64,0x80056204ea0ac40b,0x80056204ea0ac40b,1 +np.float64,0x800d1442d07a2886,0x800d1442d07a2886,1 +np.float64,0xbfaef3dadc3de7b0,0xbfaefd85ae6205f0,1 +np.float64,0x7fe969ce4b32d39c,0xbff3c4364fc6778f,1 +np.float64,0x7fe418bac0a83175,0x402167d16b1efe0b,1 +np.float64,0x3fd7c82a25af9054,0x3fd8f0c701315672,1 +np.float64,0x80013782a7826f06,0x80013782a7826f06,1 +np.float64,0x7fc031c7ee20638f,0x400747ab705e6904,1 +np.float64,0x3fe8cf327ff19e65,0x3fef5c14f8aafa89,1 +np.float64,0xbfe331a416a66348,0xbfe5e2290a098dd4,1 +np.float64,0x800607b2116c0f65,0x800607b2116c0f65,1 +np.float64,0x7fb40448f0280891,0xbfd43d4f0ffa1d64,1 +np.float64,0x7fefffffffffffff,0xbf74530cfe729484,1 +np.float64,0x3fe39b5444a736a9,0x3fe67eaa0b6acf27,1 +np.float64,0x3fee4733c4fc8e68,0x3ff631eabeef9696,1 +np.float64,0xbfec840f3b79081e,0xbff3cc8563ab2e74,1 +np.float64,0xbfc8f6854c31ed0c,0xbfc948caacb3bba0,1 +np.float64,0xffbcf754a639eea8,0xbfc88d17cad3992b,1 +np.float64,0x8000bd3163417a64,0x8000bd3163417a64,1 +np.float64,0x3fe766d0eaeecda2,0x3fecb660882f7024,1 +np.float64,0xb6cc30156d986,0xb6cc30156d986,1 +np.float64,0xffc0161f9f202c40,0x3fe19bdefe5cf8b1,1 +np.float64,0xffe1e462caa3c8c5,0x3fe392c47feea17b,1 +np.float64,0x30a36a566146e,0x30a36a566146e,1 +np.float64,0x3fa996f580332deb,0x3fa99c6b4f2abebe,1 +np.float64,0x3fba71716e34e2e0,0x3fba899f35edba1d,1 +np.float64,0xbfe8f7e5e971efcc,0xbfefac431a0e3d55,1 +np.float64,0xf48f1803e91e3,0xf48f1803e91e3,1 +np.float64,0x7fe3edc0a127db80,0xc03d1a579a5d74a8,1 +np.float64,0xffeba82056375040,0x3fdfd701308700db,1 +np.float64,0xbfeb5a924cf6b524,0xbff2640de7cd107f,1 +np.float64,0xfa4cd1a9f499a,0xfa4cd1a9f499a,1 +np.float64,0x800de1be7b9bc37d,0x800de1be7b9bc37d,1 +np.float64,0xffd44e56ad289cae,0x3fdf4b8085db9b67,1 +np.float64,0xbfe4fb3aea69f676,0xbfe89d2cc46fcc50,1 +np.float64,0xbfe596495d6b2c92,0xbfe997a589a1f632,1 +np.float64,0x6f55a2b8deab5,0x6f55a2b8deab5,1 +np.float64,0x7fe72dc4712e5b88,0x4039c4586b28c2bc,1 +np.float64,0x89348bd712692,0x89348bd712692,1 +np.float64,0xffe062156120c42a,0x4005f0580973bc77,1 +np.float64,0xbfeabc714d7578e2,0xbff1b07e2fa57dc0,1 +np.float64,0x8003a56b3e874ad7,0x8003a56b3e874ad7,1 +np.float64,0x800eeadfb85dd5c0,0x800eeadfb85dd5c0,1 +np.float64,0x46d77a4c8daf0,0x46d77a4c8daf0,1 +np.float64,0x8000c06e7dc180de,0x8000c06e7dc180de,1 +np.float64,0x3fe428d211e851a4,0x3fe754b1c00a89bc,1 +np.float64,0xc5be11818b7c2,0xc5be11818b7c2,1 +np.float64,0x7fefc244893f8488,0x401133dc54f52de5,1 +np.float64,0x3fde30eee93c61de,0x3fe0532b827543a6,1 +np.float64,0xbfd447f48b288fea,0xbfd4fd0654f90718,1 +np.float64,0xbfde98dc7b3d31b8,0xbfe094df12f84a06,1 +np.float64,0x3fed2c1a1dfa5834,0x3ff4a6c4f3470a65,1 +np.float64,0xbfe992165073242d,0xbff071ab039c9177,1 +np.float64,0x3fd0145d1b2028ba,0x3fd06d3867b703dc,1 +np.float64,0x3fe179457362f28b,0x3fe3722f1d045fda,1 +np.float64,0x800e28964fbc512d,0x800e28964fbc512d,1 +np.float64,0x8004a5d785294bb0,0x8004a5d785294bb0,1 +np.float64,0xbfd652f2272ca5e4,0xbfd7469713125120,1 +np.float64,0x7fe61f49036c3e91,0xbf9b6ccdf2d87e70,1 +np.float64,0xffb7d47dd02fa8f8,0xc004449a82320b13,1 +np.float64,0x3feb82f996b705f3,0x3ff29336c738a4c5,1 +np.float64,0x3fbb7fceea36ffa0,0x3fbb9b02c8ad7f93,1 +np.float64,0x80004519fb208a35,0x80004519fb208a35,1 +np.float64,0xbfe0539114e0a722,0xbfe1e86dc5aa039c,1 +np.float64,0x0,0x0,1 +np.float64,0xbfe99d1125f33a22,0xbff07cf8ec04300f,1 +np.float64,0xffd4fbeecc29f7de,0x3ffab76775a8455f,1 +np.float64,0xbfbf1c618e3e38c0,0xbfbf43d2764a8333,1 +np.float64,0x800cae02a9d95c06,0x800cae02a9d95c06,1 +np.float64,0x3febc47d3bf788fa,0x3ff2e0d7cf8ef509,1 +np.float64,0x3fef838f767f071f,0x3ff81aeac309bca0,1 +np.float64,0xbfd5e70716abce0e,0xbfd6ccb033ef7a35,1 +np.float64,0x3f9116fa60222df5,0x3f9117625f008e0b,1 +np.float64,0xffe02b1e5f20563c,0xbfe6b2ec293520b7,1 +np.float64,0xbf9b5aec3036b5e0,0xbf9b5c96c4c7f951,1 +np.float64,0xfdb0169bfb603,0xfdb0169bfb603,1 +np.float64,0x7fcdd1d51c3ba3a9,0x401f0e12fa0b7570,1 +np.float64,0xbfd088103fa11020,0xbfd0e8c4a333ffb2,1 +np.float64,0x3fe22df82ee45bf0,0x3fe46d03a7c14de2,1 +np.float64,0xbfd57b0c28aaf618,0xbfd65349a6191de5,1 +np.float64,0x3fe0a42f50a1485f,0x3fe252e26775d9a4,1 +np.float64,0x800fab4e363f569c,0x800fab4e363f569c,1 +np.float64,0xffe9f0ed63f3e1da,0xbfe278c341b171d5,1 +np.float64,0x7fe26c244664d848,0xbfb325269dad1996,1 +np.float64,0xffe830410bf06081,0xc00181a39f606e96,1 +np.float64,0x800c548a0c78a914,0x800c548a0c78a914,1 +np.float64,0x800f94761ebf28ec,0x800f94761ebf28ec,1 +np.float64,0x3fe5984845eb3091,0x3fe99aeb653c666d,1 +np.float64,0x7fe93e5bf8f27cb7,0xc010d159fa27396a,1 +np.float64,0xffefffffffffffff,0x3f74530cfe729484,1 +np.float64,0x4c83f1269907f,0x4c83f1269907f,1 +np.float64,0x3fde0065a8bc00cc,0x3fe034a1cdf026d4,1 +np.float64,0x800743810d6e8703,0x800743810d6e8703,1 +np.float64,0x80040662d5280cc6,0x80040662d5280cc6,1 +np.float64,0x3fed20b2c5ba4166,0x3ff497988519d7aa,1 +np.float64,0xffe8fa15e5f1f42b,0x3fff82ca76d797b4,1 +np.float64,0xbb72e22f76e5d,0xbb72e22f76e5d,1 +np.float64,0x7fc18ffa7c231ff4,0xbff4b8b4c3315026,1 +np.float64,0xbfe8d1ac44f1a358,0xbfef60efc4f821e3,1 +np.float64,0x3fd38c1fe8271840,0x3fd42dc37ff7262b,1 +np.float64,0xe577bee5caef8,0xe577bee5caef8,1 +np.float64,0xbff0000000000000,0xbff8eb245cbee3a6,1 +np.float64,0xffcb3a9dd436753c,0x3fcd1a3aff1c3fc7,1 +np.float64,0x7fe44bf2172897e3,0x3ff60bfe82a379f4,1 +np.float64,0x8009203823924071,0x8009203823924071,1 +np.float64,0x7fef8e0abc7f1c14,0x3fe90e4962d47ce5,1 +np.float64,0xffda50004434a000,0x3fb50dee03e1418b,1 +np.float64,0x7fe2ff276ea5fe4e,0xc0355b7d2a0a8d9d,1 +np.float64,0x3fd0711ba5a0e238,0x3fd0d03823d2d259,1 +np.float64,0xe7625b03cec4c,0xe7625b03cec4c,1 +np.float64,0xbfd492c8d7a92592,0xbfd55006cde8d300,1 +np.float64,0x8001fee99f23fdd4,0x8001fee99f23fdd4,1 +np.float64,0x7ff4000000000000,0x7ffc000000000000,1 +np.float64,0xfa15df97f42bc,0xfa15df97f42bc,1 +np.float64,0xbfec3fdca9787fb9,0xbff377164b13c7a9,1 +np.float64,0xbcec10e579d82,0xbcec10e579d82,1 +np.float64,0xbfc3b4e2132769c4,0xbfc3dd1fcc7150a6,1 +np.float64,0x80045b149ee8b62a,0x80045b149ee8b62a,1 +np.float64,0xffe044554c2088aa,0xbff741436d558785,1 +np.float64,0xffcc65f09f38cbe0,0xc0172b4adc2d317d,1 +np.float64,0xf68b2d3bed166,0xf68b2d3bed166,1 +np.float64,0x7fc7f44c572fe898,0x3fec69f3b1eca790,1 +np.float64,0x3fac51f61438a3ec,0x3fac595d34156002,1 +np.float64,0xbfeaa9f256f553e5,0xbff19bfdf5984326,1 +np.float64,0x800e4742149c8e84,0x800e4742149c8e84,1 +np.float64,0xbfc493df132927c0,0xbfc4c1ba4268ead9,1 +np.float64,0xbfbf0c56383e18b0,0xbfbf3389fcf50c72,1 +np.float64,0xbf978a0e082f1420,0xbf978b1dd1da3d3c,1 +np.float64,0xbfe04375356086ea,0xbfe1d34c57314dd1,1 +np.float64,0x3feaeeb29b75dd65,0x3ff1e8b772374979,1 +np.float64,0xbfe15e42c3a2bc86,0xbfe34d45d56c5c15,1 +np.float64,0x3fe507429a6a0e85,0x3fe8b058176b3225,1 +np.float64,0x3feee2b26c3dc565,0x3ff71b73203de921,1 +np.float64,0xbfd496577aa92cae,0xbfd553fa7fe15a5f,1 +np.float64,0x7fe2c10953e58212,0x3fc8ead6a0d14bbf,1 +np.float64,0x800035b77aa06b70,0x800035b77aa06b70,1 +np.float64,0x2329201e46525,0x2329201e46525,1 +np.float64,0xbfe6225c9a6c44b9,0xbfea80861590fa02,1 +np.float64,0xbfd6925030ad24a0,0xbfd78e70b1c2215d,1 +np.float64,0xbfd82225c4b0444c,0xbfd958a60f845b39,1 +np.float64,0xbb03d8a17609,0xbb03d8a17609,1 +np.float64,0x7fc33967b12672ce,0x40001e00c9af4002,1 +np.float64,0xff9373c6d026e780,0xbff308654a459d3d,1 +np.float64,0x3feab1f9c5f563f4,0x3ff1a4e0fd2f093d,1 +np.float64,0xbf993ef768327de0,0xbf994046b64e308b,1 +np.float64,0xffb87382fc30e708,0xbfde0accb83c891b,1 +np.float64,0x800bb3a118176743,0x800bb3a118176743,1 +np.float64,0x800c810250d90205,0x800c810250d90205,1 +np.float64,0xbfd2c4eb9ba589d8,0xbfd3539508b4a4a8,1 +np.float64,0xbee1f5437dc3f,0xbee1f5437dc3f,1 +np.float64,0x3fc07aeab520f5d8,0x3fc0926272f9d8e2,1 +np.float64,0xbfe23747a3246e90,0xbfe47a20a6e98687,1 +np.float64,0x3fde1296debc252c,0x3fe0401143ff6b5c,1 +np.float64,0xbfcec8c2f73d9184,0xbfcf644e25ed3b74,1 +np.float64,0xff9314f2c82629e0,0x40559a0f9099dfd1,1 +np.float64,0xbfe27487afa4e910,0xbfe4d0e01200bde6,1 +np.float64,0xffb3d6637627acc8,0x3fe326d4b1e1834f,1 +np.float64,0xffe6f84d642df09a,0x3fc73fa9f57c3acb,1 +np.float64,0xffe67cf76fecf9ee,0xc01cf48c97937ef9,1 +np.float64,0x7fdc73fc12b8e7f7,0xbfcfcecde9331104,1 +np.float64,0xffdcf8789239f0f2,0x3fe345e3b8e28776,1 +np.float64,0x800a70af5314e15f,0x800a70af5314e15f,1 +np.float64,0xffc862300730c460,0x3fc4e9ea813beca7,1 +np.float64,0xbfcc6961bd38d2c4,0xbfcce33bfa6c6bd1,1 +np.float64,0xbfc9b76bbf336ed8,0xbfca117456ac37e5,1 +np.float64,0x7fb86e829430dd04,0x400a5bd7a18e302d,1 +np.float64,0x7fb9813ef833027d,0xbfe5a6494f143625,1 +np.float64,0x8005085e2c2a10bd,0x8005085e2c2a10bd,1 +np.float64,0xffe5af099d6b5e12,0x40369bbe31e03e06,1 +np.float64,0xffde03b1fd3c0764,0x3ff061120aa1f52a,1 +np.float64,0x7fa4eb6cdc29d6d9,0x3fe9defbe9010322,1 +np.float64,0x800803f4b11007ea,0x800803f4b11007ea,1 +np.float64,0x7febd50f6df7aa1e,0xbffcf540ccf220dd,1 +np.float64,0x7fed454f08fa8a9d,0xbffc2a8b81079403,1 +np.float64,0xbfed7e8c69bafd19,0xbff5161e51ba6634,1 +np.float64,0xffef92e78eff25ce,0xbffefeecddae0ad3,1 +np.float64,0x7fe5b9b413ab7367,0xbfc681ba29704176,1 +np.float64,0x29284e805252,0x29284e805252,1 +np.float64,0xffed3955bcfa72ab,0xbfc695acb5f468de,1 +np.float64,0x3fe464ee1ca8c9dc,0x3fe7b140ce50fdca,1 +np.float64,0xffe522ae4bea455c,0x3feb957c146e66ef,1 +np.float64,0x8000000000000000,0x8000000000000000,1 +np.float64,0x3fd0c353a2a186a8,0x3fd1283aaa43a411,1 +np.float64,0x3fdb30a749b6614f,0x3fdcf40df006ed10,1 +np.float64,0x800109213cc21243,0x800109213cc21243,1 +np.float64,0xbfe72aa0c5ee5542,0xbfec4a713f513bc5,1 +np.float64,0x800865344ad0ca69,0x800865344ad0ca69,1 +np.float64,0x7feb7df60eb6fbeb,0x3fb1df06a67aa22f,1 +np.float64,0x3fe83a5dd93074bc,0x3fee3d63cda72636,1 +np.float64,0xbfde70e548bce1ca,0xbfe07b8e19c9dac6,1 +np.float64,0xbfeea38d537d471b,0xbff6bb18c230c0be,1 +np.float64,0x3fefeebbc47fdd78,0x3ff8cdaa53b7c7b4,1 +np.float64,0x7fe6512e20eca25b,0xbff623cee44a22b5,1 +np.float64,0xf8fa5ca3f1f4c,0xf8fa5ca3f1f4c,1 +np.float64,0x7fd12d00ed225a01,0xbfe90d518ea61faf,1 +np.float64,0x80027db43504fb69,0x80027db43504fb69,1 +np.float64,0xffc10a01aa221404,0x3fcc2065b3d0157b,1 +np.float64,0xbfef8286e87f050e,0xbff8193a54449b59,1 +np.float64,0xbfc73178092e62f0,0xbfc7735072ba4593,1 +np.float64,0x3fc859d70630b3ae,0x3fc8a626522af1c0,1 +np.float64,0x3fe4654c4268ca99,0x3fe7b1d2913eda1a,1 +np.float64,0xbfce93cd843d279c,0xbfcf2c2ef16a0957,1 +np.float64,0xffbcaa16d4395430,0xbfd511ced032d784,1 +np.float64,0xbfe91f980e723f30,0xbfeffb39cf8c7746,1 +np.float64,0x800556fb6f0aadf8,0x800556fb6f0aadf8,1 +np.float64,0xffd009cde520139c,0x3fe4fa83b1e93d28,1 +np.float64,0x7febc0675e3780ce,0x3feb53930c004dae,1 +np.float64,0xbfe7f975bdeff2ec,0xbfedc36e6729b010,1 +np.float64,0x45aff57c8b5ff,0x45aff57c8b5ff,1 +np.float64,0xbfec7ebd0138fd7a,0xbff3c5cab680aae0,1 +np.float64,0x8009448003b28900,0x8009448003b28900,1 +np.float64,0x3fca4b992d349732,0x3fcaabebcc86aa9c,1 +np.float64,0x3fca069161340d20,0x3fca63ecc742ff3a,1 +np.float64,0x80063bc80bec7791,0x80063bc80bec7791,1 +np.float64,0xbfe1764bffe2ec98,0xbfe36e1cb30cec94,1 +np.float64,0xffd0dba72f21b74e,0x3fb1834964d57ef6,1 +np.float64,0xbfe31848fc263092,0xbfe5bd066445cbc3,1 +np.float64,0xbfd1fb227323f644,0xbfd278334e27f02d,1 +np.float64,0xffdc59069fb8b20e,0xbfdfc363f559ea2c,1 +np.float64,0x3fdea52a52bd4a55,0x3fe09cada4e5344c,1 +np.float64,0x3f715e55a022bd00,0x3f715e5c72a2809e,1 +np.float64,0x1d1ac6023a35a,0x1d1ac6023a35a,1 +np.float64,0x7feacc71627598e2,0x400486b82121da19,1 +np.float64,0xa0287fa340510,0xa0287fa340510,1 +np.float64,0xffe352c5abe6a58b,0xc002623346060543,1 +np.float64,0x7fed577a23baaef3,0x3fda19bc8fa3b21f,1 +np.float64,0x3fde8dd5263d1baa,0x3fe08de0fedf7029,1 +np.float64,0x3feddd3be2bbba78,0x3ff599b2f3e018cc,1 +np.float64,0xc7a009f58f401,0xc7a009f58f401,1 +np.float64,0xbfef03d5a4fe07ab,0xbff74ee08681f47b,1 +np.float64,0x7fe2cf60eea59ec1,0x3fe905fb44f8cc60,1 +np.float64,0xbfe498fcab6931fa,0xbfe8023a6ff8becf,1 +np.float64,0xbfef7142acfee285,0xbff7fd196133a595,1 +np.float64,0xd214ffdba42a0,0xd214ffdba42a0,1 +np.float64,0x8006de7d78cdbcfc,0x8006de7d78cdbcfc,1 +np.float64,0xb247d34f648fb,0xb247d34f648fb,1 +np.float64,0xbfdd5bece6bab7da,0xbfdf9ba63ca2c5b2,1 +np.float64,0x7fe874650af0e8c9,0x3fe74204e122c10f,1 +np.float64,0x800768c49baed18a,0x800768c49baed18a,1 +np.float64,0x3fb4c0a192298140,0x3fb4cc4c8aa43300,1 +np.float64,0xbfa740531c2e80a0,0xbfa7446b7c74ae8e,1 +np.float64,0x7fe10d6edf221add,0x3fedbcd2eae26657,1 +np.float64,0xbfe9175d0f722eba,0xbfefeaca7f32c6e3,1 +np.float64,0x953e11d32a7c2,0x953e11d32a7c2,1 +np.float64,0x80032df90c465bf3,0x80032df90c465bf3,1 +np.float64,0xffec5b799638b6f2,0xbfe95cd2c69be12c,1 +np.float64,0xffe0c3cfa9a1879f,0x3fe20b99b0c108ce,1 +np.float64,0x3fb610d8e22c21b2,0x3fb61ee0d6c16df8,1 +np.float64,0xffe16bb39962d766,0xc016d370381b6b42,1 +np.float64,0xbfdc72edb238e5dc,0xbfde7bd2de10717a,1 +np.float64,0xffed52dee3baa5bd,0xc01994c08899129a,1 +np.float64,0xffa92aab08325550,0xbff2b881ce363cbd,1 +np.float64,0x7fe028282de0504f,0xc0157ff96c69a9c7,1 +np.float64,0xbfdb2151bf3642a4,0xbfdce196fcc35857,1 +np.float64,0x3fcffbd13c3ff7a2,0x3fd0554b5f0371ac,1 +np.float64,0x800d206bff1a40d8,0x800d206bff1a40d8,1 +np.float64,0x458f818c8b1f1,0x458f818c8b1f1,1 +np.float64,0x800a7b56a234f6ae,0x800a7b56a234f6ae,1 +np.float64,0xffe3d86161e7b0c2,0xbff58d0dbde9f188,1 +np.float64,0xe8ed82e3d1db1,0xe8ed82e3d1db1,1 +np.float64,0x3fe234e0176469c0,0x3fe476bd36b96a75,1 +np.float64,0xbfc7cb9c132f9738,0xbfc812c46e185e0b,1 +np.float64,0xbfeba116c1f7422e,0xbff2b6b7563ad854,1 +np.float64,0x7fe7041de62e083b,0x3f5d2b42aca47274,1 +np.float64,0xbfcf60f4ff3ec1e8,0xbfd002eb83406436,1 +np.float64,0xbfc06067a520c0d0,0xbfc0776e5839ecda,1 +np.float64,0x4384965a87093,0x4384965a87093,1 +np.float64,0xd2ed9d01a5db4,0xd2ed9d01a5db4,1 +np.float64,0x3fbea88cb63d5119,0x3fbece49cc34a379,1 +np.float64,0x3fe7e982ebefd306,0x3feda5bd4c435d43,1 +np.float64,0xffdb60a3e036c148,0xbfcb7ed21e7a8f49,1 +np.float64,0x7fdba9231eb75245,0xbfd750cab1536398,1 +np.float64,0x800d593534dab26b,0x800d593534dab26b,1 +np.float64,0xffdf15fb683e2bf6,0x3fb3aaea23357f06,1 +np.float64,0xbfd6f8a2e5adf146,0xbfd802e509d67c67,1 +np.float64,0x3feeaa31513d5463,0x3ff6c52147dc053c,1 +np.float64,0xf2f6dfd3e5edc,0xf2f6dfd3e5edc,1 +np.float64,0x7fd58d8279ab1b04,0x403243f23d02af2a,1 +np.float64,0x8000000000000001,0x8000000000000001,1 +np.float64,0x3fdffb8e0ebff71c,0x3fe1786cb0a6b0f3,1 +np.float64,0xc999826b93331,0xc999826b93331,1 +np.float64,0xffc4966f19292ce0,0x3ff0836c75c56cc7,1 +np.float64,0x7fef95a4b2ff2b48,0xbfbbe2c27c78154f,1 +np.float64,0xb8f1307f71e26,0xb8f1307f71e26,1 +np.float64,0x3fe807bc7eb00f79,0x3fedde19f2d3c42d,1 +np.float64,0x5e4b6580bc98,0x5e4b6580bc98,1 +np.float64,0xffe19353576326a6,0xc0278c51fee07d36,1 +np.float64,0xbfb0ca6f3e2194e0,0xbfb0d09be673fa72,1 +np.float64,0x3fea724211b4e484,0x3ff15ee06f0a0a13,1 +np.float64,0xbfda21e1c4b443c4,0xbfdbb041f3c86832,1 +np.float64,0x8008082b24901057,0x8008082b24901057,1 +np.float64,0xbfd031aa4ea06354,0xbfd08c77729634bb,1 +np.float64,0xbfc407e153280fc4,0xbfc432275711df5f,1 +np.float64,0xbb4fa4b5769f5,0xbb4fa4b5769f5,1 +np.float64,0x7fed6d1daffada3a,0xc037a14bc7b41fab,1 +np.float64,0xffeee589943dcb12,0x3ff2abfe47037778,1 +np.float64,0x301379d260270,0x301379d260270,1 +np.float64,0xbfec2fefc2b85fe0,0xbff36362c0363e06,1 +np.float64,0xbfe0b1c82e216390,0xbfe264f503f7c22c,1 +np.float64,0xbfea2bce78f4579d,0xbff112d6f07935ea,1 +np.float64,0x18508ef230a13,0x18508ef230a13,1 +np.float64,0x800667a74d6ccf4f,0x800667a74d6ccf4f,1 +np.float64,0x79ce5c8cf39cc,0x79ce5c8cf39cc,1 +np.float64,0x3feda61c8efb4c39,0x3ff54c9ade076f54,1 +np.float64,0x3fe27e06b0e4fc0d,0x3fe4de665c1dc3ca,1 +np.float64,0xbfd15fea2722bfd4,0xbfd1d081c55813b0,1 +np.float64,0xbfe5222c4cea4458,0xbfe8db62deb7d2ad,1 +np.float64,0xbfe8a16c33b142d8,0xbfef02d5831592a8,1 +np.float64,0x3fdb60e7c4b6c1d0,0x3fdd2e4265c4c3b6,1 +np.float64,0x800076d62b60edad,0x800076d62b60edad,1 +np.float64,0xbfec8f1527791e2a,0xbff3da7ed3641e8d,1 +np.float64,0x2af03bfe55e08,0x2af03bfe55e08,1 +np.float64,0xa862ee0950c5e,0xa862ee0950c5e,1 +np.float64,0x7fea5a7c1eb4b4f7,0xbffa6f07d28ef211,1 +np.float64,0x90e118fb21c23,0x90e118fb21c23,1 +np.float64,0xbfead0721bf5a0e4,0xbff1c6c7a771a128,1 +np.float64,0x3f63f4a4c027e94a,0x3f63f4a75665da67,1 +np.float64,0x3fece0efa579c1e0,0x3ff443bec52f021e,1 +np.float64,0xbfdbe743b737ce88,0xbfddd129bff89c15,1 +np.float64,0x3fd48c9b8fa91938,0x3fd5492a630a8cb5,1 +np.float64,0x3ff0000000000000,0x3ff8eb245cbee3a6,1 +np.float64,0xbfd51ea33baa3d46,0xbfd5ebd5dc710204,1 +np.float64,0x3fcfbab0183f7560,0x3fd032a054580b00,1 +np.float64,0x8007abce13cf579d,0x8007abce13cf579d,1 +np.float64,0xbfef0f4723be1e8e,0xbff760c7008e8913,1 +np.float64,0x8006340f524c681f,0x8006340f524c681f,1 +np.float64,0x87b7d7010f71,0x87b7d7010f71,1 +np.float64,0x3fe9422da9b2845b,0x3ff02052e6148c45,1 +np.float64,0x7fddd259b93ba4b2,0xc000731aa33d84b6,1 +np.float64,0x3fe0156d12202ada,0x3fe1972ba309cb29,1 +np.float64,0x8004f1264b89e24d,0x8004f1264b89e24d,1 +np.float64,0x3fececdcacb9d9b9,0x3ff4534d5861f731,1 +np.float64,0x3fd1790ab822f215,0x3fd1eb97b1bb6fb4,1 +np.float64,0xffce5d11863cba24,0xbfcb4f38c17210da,1 +np.float64,0x800a30c32a546187,0x800a30c32a546187,1 +np.float64,0x3fa58cc61c2b198c,0x3fa59008add7233e,1 +np.float64,0xbfe0ac77d62158f0,0xbfe25de3dba0bc4a,1 +np.float64,0xeb8c5753d718b,0xeb8c5753d718b,1 +np.float64,0x3fee5438dafca872,0x3ff644fef7e7adb5,1 +np.float64,0x3faad1eb2c35a3e0,0x3faad83499f94057,1 +np.float64,0x3fe39152c46722a6,0x3fe66fba0b96ab6e,1 +np.float64,0xffd6fd17712dfa2e,0xc010d697d1ab8731,1 +np.float64,0x5214a888a4296,0x5214a888a4296,1 +np.float64,0x8000127a5da024f5,0x8000127a5da024f5,1 +np.float64,0x7feb3a366cb6746c,0x3fbe49bd8d5f213a,1 +np.float64,0xca479501948f3,0xca479501948f3,1 +np.float64,0x7fe7c799ce6f8f33,0xbfd796cd98dc620c,1 +np.float64,0xffe20bcf30a4179e,0xbff8ca5453fa088f,1 +np.float64,0x3fe624638a6c48c7,0x3fea83f123832c3c,1 +np.float64,0xbfe5f1377c6be26f,0xbfea2e143a2d522c,1 +np.float64,0x7fd193f9f8a327f3,0xbfb04ee2602574d4,1 +np.float64,0xbfe7419d2fee833a,0xbfec737f140d363d,1 +np.float64,0x1,0x1,1 +np.float64,0x7fe2ac246c655848,0x3fd14fee3237727a,1 +np.float64,0xa459b42948b37,0xa459b42948b37,1 +np.float64,0x3fb26155ae24c2ab,0x3fb2696fc446d4c6,1 +np.float64,0xbfdd7b332e3af666,0xbfdfc296c21f1aa8,1 +np.float64,0xbfe00dbda4a01b7c,0xbfe18d2b060f0506,1 +np.float64,0x8003bb22d3e77646,0x8003bb22d3e77646,1 +np.float64,0x3fee21b0a57c4361,0x3ff5fb6a21dc911c,1 +np.float64,0x80ca69270194d,0x80ca69270194d,1 +np.float64,0xbfd6d80350adb006,0xbfd7ddb501edbde0,1 +np.float64,0xd2f8b801a5f2,0xd2f8b801a5f2,1 +np.float64,0xbfe856b3f170ad68,0xbfee7334fdc49296,1 +np.float64,0x3fed5c1b20bab836,0x3ff4e73ee5d5c7f3,1 +np.float64,0xbfd58085a5ab010c,0xbfd6596ddc381ffa,1 +np.float64,0x3fe4f0134b29e027,0x3fe88b70602fbd21,1 +np.float64,0xffc9098fdc321320,0x4011c334a74a92cf,1 +np.float64,0x794749bef28ea,0x794749bef28ea,1 +np.float64,0xbfc86b547f30d6a8,0xbfc8b84a4fafe0af,1 +np.float64,0x7fe1356b9da26ad6,0x3fd270bca208d899,1 +np.float64,0x7fca0ef1aa341de2,0xbff851044c0734fa,1 +np.float64,0x80064cb8b62c9972,0x80064cb8b62c9972,1 +np.float64,0xffd3a09a83a74136,0x3ffb66dae0accdf5,1 +np.float64,0x800e301aa15c6035,0x800e301aa15c6035,1 +np.float64,0x800e51f323bca3e6,0x800e51f323bca3e6,1 +np.float64,0x7ff0000000000000,0xfff8000000000000,1 +np.float64,0x800c4278c87884f2,0x800c4278c87884f2,1 +np.float64,0xbfe8481649f0902c,0xbfee576772695096,1 +np.float64,0xffe2344e3fa4689c,0x3fb10442ec0888de,1 +np.float64,0xbfeada313d75b462,0xbff1d1aee3fab3a9,1 +np.float64,0x8009ddfb1333bbf7,0x8009ddfb1333bbf7,1 +np.float64,0x7fed3314c93a6629,0x3ff7a9b12dc1cd37,1 +np.float64,0x3fd55c26da2ab84e,0x3fd630a7b8aac78a,1 +np.float64,0x800cdb5203f9b6a4,0x800cdb5203f9b6a4,1 +np.float64,0xffd04a875da0950e,0x4009a13810ab121d,1 +np.float64,0x800f1acb527e3597,0x800f1acb527e3597,1 +np.float64,0xbf9519bf282a3380,0xbf951a82e9b955ff,1 +np.float64,0x3fcd7a42fa3af486,0x3fce028f3c51072d,1 +np.float64,0xbfdd3e21b73a7c44,0xbfdf769f2ff2480b,1 +np.float64,0xffd4361e2aa86c3c,0xbfc211ce8e9f792c,1 +np.float64,0x7fccf97f6939f2fe,0xbff8464bad830f06,1 +np.float64,0x800ce47fb939c900,0x800ce47fb939c900,1 +np.float64,0xffe9e51df173ca3b,0xbfceaf990d652c4e,1 +np.float64,0x3fe05bba5b20b775,0x3fe1f326e4455442,1 +np.float64,0x800a29b4b134536a,0x800a29b4b134536a,1 +np.float64,0xe6f794b7cdef3,0xe6f794b7cdef3,1 +np.float64,0xffb5b688ce2b6d10,0x3ff924bb97ae2f6d,1 +np.float64,0x7fa74105d82e820b,0x3fd49643aaa9eee4,1 +np.float64,0x80020d15f7a41a2d,0x80020d15f7a41a2d,1 +np.float64,0x3fd6a983d5ad5308,0x3fd7a8cc8835b5b8,1 +np.float64,0x7fcd9798f03b2f31,0x3fc534c2f7bf4721,1 +np.float64,0xffdd31873a3a630e,0xbfe3171fcdffb3f7,1 +np.float64,0x80075183234ea307,0x80075183234ea307,1 +np.float64,0x82f3132505e63,0x82f3132505e63,1 +np.float64,0x3febfd9cb837fb39,0x3ff325bbf812515d,1 +np.float64,0xbfb4630fda28c620,0xbfb46e1f802ec278,1 +np.float64,0x3feeed7c89fddafa,0x3ff72c20ce5a9ee4,1 +np.float64,0x7fd3dcb3c127b967,0x40123d27ec9ec31d,1 +np.float64,0xbfe923450c72468a,0xbff00149c5742725,1 +np.float64,0x7fdef7f91abdeff1,0xbfe02ceb21f7923d,1 +np.float64,0x7fdd70d28fbae1a4,0xbfefcc5c9d10cdfd,1 +np.float64,0x800ca445a8d9488c,0x800ca445a8d9488c,1 +np.float64,0x7fec2754e1f84ea9,0x40173f6c1c97f825,1 +np.float64,0x7fcbca31f7379463,0x401e26bd2667075b,1 +np.float64,0x8003fa1d0847f43b,0x8003fa1d0847f43b,1 +np.float64,0xffe95cf85932b9f0,0xc01308e60278aa11,1 +np.float64,0x8009c53948f38a73,0x8009c53948f38a73,1 +np.float64,0x3fdcca9226b99524,0x3fdee7a008f75d41,1 +np.float64,0xbfe9ee241f33dc48,0xbff0d16bfff6c8e9,1 +np.float64,0xbfb3365058266ca0,0xbfb33f9176ebb51d,1 +np.float64,0x7fa98e10f4331c21,0x3fdee04ffd31314e,1 +np.float64,0xbfe1a11aea634236,0xbfe3a8e3d84fda38,1 +np.float64,0xbfd8df051131be0a,0xbfda342805d1948b,1 +np.float64,0x3d49a2407a935,0x3d49a2407a935,1 +np.float64,0xfc51eefff8a3e,0xfc51eefff8a3e,1 +np.float64,0xda63950bb4c73,0xda63950bb4c73,1 +np.float64,0x80050f3d4fea1e7b,0x80050f3d4fea1e7b,1 +np.float64,0x3fcdbd6e453b7ae0,0x3fce497478c28e77,1 +np.float64,0x7ebd4932fd7aa,0x7ebd4932fd7aa,1 +np.float64,0x7fa3904eac27209c,0xc0015f3125efc151,1 +np.float64,0x7fc59f956b2b3f2a,0xc00c012e7a2c281f,1 +np.float64,0xbfd436d716a86dae,0xbfd4ea13533a942b,1 +np.float64,0x9347ae3d268f6,0x9347ae3d268f6,1 +np.float64,0xffd001764d2002ec,0xbffab3462e515623,1 +np.float64,0x3fe6f406662de80d,0x3febe9bac3954999,1 +np.float64,0x3f943ecaf8287d96,0x3f943f77dee5e77f,1 +np.float64,0x3fd6250efcac4a1c,0x3fd712afa947d56f,1 +np.float64,0xbfe849ff777093ff,0xbfee5b089d03391f,1 +np.float64,0xffd3b8ef8f2771e0,0x4000463ff7f29214,1 +np.float64,0xbfc3bae9252775d4,0xbfc3e34c133f1933,1 +np.float64,0xbfea93943df52728,0xbff18355e4fc341d,1 +np.float64,0x3fc4d922ad29b245,0x3fc508d66869ef29,1 +np.float64,0x4329694a8652e,0x4329694a8652e,1 +np.float64,0x8834f1a71069e,0x8834f1a71069e,1 +np.float64,0xe0e5be8dc1cb8,0xe0e5be8dc1cb8,1 +np.float64,0x7fef4d103afe9a1f,0xc0047b88b94554fe,1 +np.float64,0x3fe9b57af4f36af6,0x3ff0963831d51c3f,1 +np.float64,0x3fe081e2fa6103c6,0x3fe22572e41be655,1 +np.float64,0x3fd78cf7b42f19ef,0x3fd8acafa1ad776a,1 +np.float64,0x7fbffd58d43ffab1,0x3fb16092c7de6036,1 +np.float64,0xbfe1e8bfae23d180,0xbfe40c1c6277dd52,1 +np.float64,0x800a9f59fb153eb4,0x800a9f59fb153eb4,1 +np.float64,0xffebe14e33b7c29c,0x3fe0ec532f4deedd,1 +np.float64,0xffc36ca00426d940,0xc000806a712d6e83,1 +np.float64,0xbfcc2be82d3857d0,0xbfcca2a7d372ec64,1 +np.float64,0x800c03b908780772,0x800c03b908780772,1 +np.float64,0xf315a64be62b5,0xf315a64be62b5,1 +np.float64,0xbfe644043cec8808,0xbfeab974d3dc6d80,1 +np.float64,0x3fedb7de3cbb6fbc,0x3ff56549a5acd324,1 +np.float64,0xbfb1a875522350e8,0xbfb1afa41dee338d,1 +np.float64,0xffee8d4a407d1a94,0x3fead1749a636ff6,1 +np.float64,0x8004061c13080c39,0x8004061c13080c39,1 +np.float64,0x3fe650ae7feca15c,0x3feacefb8bc25f64,1 +np.float64,0x3fda8340e6b50682,0x3fdc24275cab1df8,1 +np.float64,0x8009084344321087,0x8009084344321087,1 +np.float64,0x7fdd19cb823a3396,0xbfd1d8fb35d89e3f,1 +np.float64,0xbfe893172571262e,0xbfeee716b592b93c,1 +np.float64,0x8ff5acc11fec,0x8ff5acc11fec,1 +np.float64,0xbfdca0c57cb9418a,0xbfdeb42465a1b59e,1 +np.float64,0xffd77bd2a3aef7a6,0x4012cd69e85b82d8,1 +np.float64,0xbfe6ea78982dd4f1,0xbfebd8ec61fb9e1f,1 +np.float64,0x7fe14b1d80a2963a,0xc02241642102cf71,1 +np.float64,0x3fe712bf286e257e,0x3fec20012329a7fb,1 +np.float64,0x7fcb6fa4d636df49,0x400b899d14a886b3,1 +np.float64,0x3fb82cb39a305960,0x3fb83f29c5f0822e,1 +np.float64,0x7fed694c8b3ad298,0xbfe2724373c69808,1 +np.float64,0xbfcd21229f3a4244,0xbfcda497fc3e1245,1 +np.float64,0x564d3770ac9a8,0x564d3770ac9a8,1 +np.float64,0xf4409e13e8814,0xf4409e13e8814,1 +np.float64,0x80068dca9a8d1b96,0x80068dca9a8d1b96,1 +np.float64,0xbfe13f82afe27f06,0xbfe3236ddded353f,1 +np.float64,0x80023f8114647f03,0x80023f8114647f03,1 +np.float64,0xeafba7dfd5f75,0xeafba7dfd5f75,1 +np.float64,0x3feca74ddeb94e9c,0x3ff3f95dcce5a227,1 +np.float64,0x10000000000000,0x10000000000000,1 +np.float64,0xbfebdb4141f7b682,0xbff2fc29823ac64a,1 +np.float64,0xbfcd75ee2f3aebdc,0xbfcdfdfd87cc6a29,1 +np.float64,0x7fc010cda420219a,0x3fae4ca2cf1f2657,1 +np.float64,0x1a90209e35205,0x1a90209e35205,1 +np.float64,0x8008057d01900afa,0x8008057d01900afa,1 +np.float64,0x3f9cb5f280396be5,0x3f9cb7dfb4e4be4e,1 +np.float64,0xffe1bbb60b63776c,0xc00011b1ffcb2561,1 +np.float64,0xffda883f6fb5107e,0x4044238ef4e2a198,1 +np.float64,0x3fc07c0b4a20f817,0x3fc09387de9eebcf,1 +np.float64,0x8003a9ebc0c753d8,0x8003a9ebc0c753d8,1 +np.float64,0x1d7fd5923affc,0x1d7fd5923affc,1 +np.float64,0xbfe9cd8cf9b39b1a,0xbff0af43e567ba4a,1 +np.float64,0x11285cb42250c,0x11285cb42250c,1 +np.float64,0xffe81ae1ccb035c3,0xbfe038be7eb563a6,1 +np.float64,0xbfe56473b1eac8e8,0xbfe94654d8ab9e75,1 +np.float64,0x3fee904619fd208c,0x3ff69e198152fe17,1 +np.float64,0xbfeeb9a2cbfd7346,0xbff6dc8d96da78cd,1 +np.float64,0x8006cdfa59ed9bf5,0x8006cdfa59ed9bf5,1 +np.float64,0x8008f2366d31e46d,0x8008f2366d31e46d,1 +np.float64,0x8008d5f91e31abf3,0x8008d5f91e31abf3,1 +np.float64,0x3fe85886f8b0b10e,0x3fee76af16f5a126,1 +np.float64,0x3fefb9b2b73f7365,0x3ff8745128fa3e3b,1 +np.float64,0x7fdf3e721f3e7ce3,0xbfb19381541ca2a8,1 +np.float64,0x3fd2768c41a4ed18,0x3fd2fe2f85a3f3a6,1 +np.float64,0xbfcabe3c6a357c78,0xbfcb239fb88bc260,1 +np.float64,0xffdffb6a3dbff6d4,0xbff7af4759fd557c,1 +np.float64,0x800817f75f302fef,0x800817f75f302fef,1 +np.float64,0xbfe6a1d1762d43a3,0xbfeb5a399a095ef3,1 +np.float64,0x7fd6f32f912de65e,0x40016dedc51aabd0,1 +np.float64,0x3fc6cb26652d964d,0x3fc7099f047d924a,1 +np.float64,0x3fe8b975d67172ec,0x3fef31946123c0e7,1 +np.float64,0xffe44a09d1e89413,0x3fdee9e5eac6e540,1 +np.float64,0xbfece76d4cb9cedb,0xbff44c34849d07ba,1 +np.float64,0x7feb76027036ec04,0x3fe08595a5e263ac,1 +np.float64,0xffe194f591a329ea,0x3fbe5bd626400a70,1 +np.float64,0xbfc170698122e0d4,0xbfc18c3de8b63565,1 +np.float64,0x3fc82b2c0f305658,0x3fc875c3b5fbcd08,1 +np.float64,0x3fd5015634aa02ac,0x3fd5cb1df07213c3,1 +np.float64,0x7fe640884b6c8110,0xbff66255a420abb5,1 +np.float64,0x5a245206b448b,0x5a245206b448b,1 +np.float64,0xffe9d9fa2f73b3f4,0xc0272b0dd34ab9bf,1 +np.float64,0x3fd990e8aab321d0,0x3fdb04cd3a29bcc3,1 +np.float64,0xde9dda8bbd3bc,0xde9dda8bbd3bc,1 +np.float64,0xbfe81b32b4703666,0xbfee029937fa9f5a,1 +np.float64,0xbfe68116886d022d,0xbfeb21c62081cb73,1 +np.float64,0x3fb8da191231b432,0x3fb8ee28c71507d3,1 +np.float64,0x3fb111395a222273,0x3fb117b57de3dea4,1 +np.float64,0xffbafadc6a35f5b8,0x3ffcc6d2370297b9,1 +np.float64,0x8002ca475b05948f,0x8002ca475b05948f,1 +np.float64,0xbfeafef57875fdeb,0xbff1fb1315676f24,1 +np.float64,0x7fcda427d73b484f,0xbff9f70212694d17,1 +np.float64,0xffe2517b3ba4a2f6,0xc029ca6707305bf4,1 +np.float64,0x7fc5ee156b2bdc2a,0xbff8384b59e9056e,1 +np.float64,0xbfec22af3278455e,0xbff3530fe25816b4,1 +np.float64,0x6b5a8c2cd6b52,0x6b5a8c2cd6b52,1 +np.float64,0xffdaf6c4b935ed8a,0x4002f00ce58affcf,1 +np.float64,0x800a41813c748303,0x800a41813c748303,1 +np.float64,0xbfd09a1269213424,0xbfd0fc0a0c5de8eb,1 +np.float64,0x7fa2cb74d42596e9,0x3fc3d40e000fa69d,1 +np.float64,0x7ff8000000000000,0x7ff8000000000000,1 +np.float64,0x3fbfbf8ed63f7f1e,0x3fbfe97bcad9f53a,1 +np.float64,0x7fe0ebba65a1d774,0x401b0f17b28618df,1 +np.float64,0x3fd02c3a25a05874,0x3fd086aa55b19c9c,1 +np.float64,0xec628f95d8c52,0xec628f95d8c52,1 +np.float64,0x3fd319329fa63264,0x3fd3afb04e0dec63,1 +np.float64,0x180e0ade301c2,0x180e0ade301c2,1 +np.float64,0xbfe8d78324f1af06,0xbfef6c66153064ee,1 +np.float64,0xffb89fa200313f48,0xbfeb96ff2d9358dc,1 +np.float64,0x7fe6abcf86ed579e,0xc0269f4de86365ec,1 +np.float64,0x7fdff8cd65bff19a,0xbfd0f7c6b9052c9a,1 +np.float64,0xbfd2e3a53d25c74a,0xbfd37520cda5f6b2,1 +np.float64,0x7fe844b096708960,0x3ff696a6182e5a7a,1 +np.float64,0x7fdce0c7a3b9c18e,0x3fd42875d69ed379,1 +np.float64,0xffba5a91cc34b520,0x4001b571e8991951,1 +np.float64,0xffe78fe4a6ef1fc9,0x3ff4507b31f5b3bc,1 +np.float64,0xbfd7047493ae08ea,0xbfd810618a53fffb,1 +np.float64,0xc6559def8cab4,0xc6559def8cab4,1 +np.float64,0x3fe75d67a76ebacf,0x3feca56817de65e4,1 +np.float64,0xffd24adbd6a495b8,0xc012c491addf2df5,1 +np.float64,0x7fed35e28dba6bc4,0x403a0fa555ff7ec6,1 +np.float64,0x80078c4afa0f1897,0x80078c4afa0f1897,1 +np.float64,0xa6ec39114dd87,0xa6ec39114dd87,1 +np.float64,0x7fb1bd33ba237a66,0x4010092bb6810fd4,1 +np.float64,0x800ecf215edd9e43,0x800ecf215edd9e43,1 +np.float64,0x3fb7c169242f82d2,0x3fb7d2ed30c462e6,1 +np.float64,0xbf71b46d60236900,0xbf71b4749a10c112,1 +np.float64,0x800d7851787af0a3,0x800d7851787af0a3,1 +np.float64,0x3fcb4a45e7369488,0x3fcbb61701a1bcec,1 +np.float64,0x3fd4e3682429c6d0,0x3fd5a9bcb916eb94,1 +np.float64,0x800497564c292ead,0x800497564c292ead,1 +np.float64,0xbfca3737a1346e70,0xbfca96a86ae5d687,1 +np.float64,0x19aa87e03356,0x19aa87e03356,1 +np.float64,0xffb2593fe624b280,0xc05fedb99b467ced,1 +np.float64,0xbfdd8748fbbb0e92,0xbfdfd1a7df17252c,1 +np.float64,0x8004c7afc7098f60,0x8004c7afc7098f60,1 +np.float64,0x7fde48b2bf3c9164,0xbfe36ef1158ed420,1 +np.float64,0xbfec8e0eb0f91c1d,0xbff3d9319705a602,1 +np.float64,0xffea1be204f437c3,0xc0144f67298c3e6f,1 +np.float64,0x7fdb906b593720d6,0xbfce99233396eda7,1 +np.float64,0x3fef0f114ffe1e22,0x3ff76072a258a51b,1 +np.float64,0x3fe3e284c8e7c50a,0x3fe6e9b05e17c999,1 +np.float64,0xbfbda9eef23b53e0,0xbfbdcc1abb443597,1 +np.float64,0x3feb6454d4f6c8aa,0x3ff26f65a85baba4,1 +np.float64,0x3fea317439f462e8,0x3ff118e2187ef33f,1 +np.float64,0x376ad0646ed5b,0x376ad0646ed5b,1 +np.float64,0x7fdd461a1c3a8c33,0x3f7ba20fb79e785f,1 +np.float64,0xebc520a3d78a4,0xebc520a3d78a4,1 +np.float64,0x3fca90fe53352200,0x3fcaf45c7fae234d,1 +np.float64,0xbfe80dd1de701ba4,0xbfede97e12cde9de,1 +np.float64,0x3fd242b00ea48560,0x3fd2c5cf9bf69a31,1 +np.float64,0x7fe46c057828d80a,0xbfe2f76837488f94,1 +np.float64,0x3fc162bea322c580,0x3fc17e517c958867,1 +np.float64,0xffebf0452ff7e08a,0x3ffc3fd95c257b54,1 +np.float64,0xffd88043c6310088,0x4008b05598d0d95f,1 +np.float64,0x800d8c49da5b1894,0x800d8c49da5b1894,1 +np.float64,0xbfed33b487ba6769,0xbff4b0ea941f8a6a,1 +np.float64,0x16b881e22d711,0x16b881e22d711,1 +np.float64,0x288bae0051177,0x288bae0051177,1 +np.float64,0xffc83a0fe8307420,0x4006eff03da17f86,1 +np.float64,0x3fc7868b252f0d18,0x3fc7cb4954290324,1 +np.float64,0xbfe195514b232aa2,0xbfe398aae6c8ed76,1 +np.float64,0x800c001ae7f80036,0x800c001ae7f80036,1 +np.float64,0x7feb82abe7370557,0xbff1e13fe6fad23c,1 +np.float64,0xffecf609cdf9ec13,0xc0112aa1805ae59e,1 +np.float64,0xffddd654f63bacaa,0x3fe46cce899f710d,1 +np.float64,0x3fe2163138642c62,0x3fe44b9c760acd4c,1 +np.float64,0x4e570dc09cae2,0x4e570dc09cae2,1 +np.float64,0x7fe9e8d091f3d1a0,0xc000fe20f8e9a4b5,1 +np.float64,0x7fe60042952c0084,0x3fd0aa740f394c2a,1 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-tanh.csv b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-tanh.csv new file mode 100644 index 0000000000000000000000000000000000000000..9e3ddc60ffa683f01139870d31de5cb61c2cbc2e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/data/umath-validation-set-tanh.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xbe26ebb0,0xbe25752f,2 +np.float32,0xbe22ecc0,0xbe219054,2 +np.float32,0x8010a6b3,0x8010a6b3,2 +np.float32,0x3135da,0x3135da,2 +np.float32,0xbe982afc,0xbe93d727,2 +np.float32,0x16a51f,0x16a51f,2 +np.float32,0x491e56,0x491e56,2 +np.float32,0x4bf7ca,0x4bf7ca,2 +np.float32,0x3eebc21c,0x3edc65b2,2 +np.float32,0x80155c94,0x80155c94,2 +np.float32,0x3e14f626,0x3e13eb6a,2 +np.float32,0x801a238f,0x801a238f,2 +np.float32,0xbde33a80,0xbde24cf9,2 +np.float32,0xbef8439c,0xbee67a51,2 +np.float32,0x7f60d0a5,0x3f800000,2 +np.float32,0x190ee3,0x190ee3,2 +np.float32,0x80759113,0x80759113,2 +np.float32,0x800afa9f,0x800afa9f,2 +np.float32,0x7110cf,0x7110cf,2 +np.float32,0x3cf709f0,0x3cf6f6c6,2 +np.float32,0x3ef58da4,0x3ee44fa7,2 +np.float32,0xbf220ff2,0xbf0f662c,2 +np.float32,0xfd888078,0xbf800000,2 +np.float32,0xbe324734,0xbe307f9b,2 +np.float32,0x3eb5cb4f,0x3eae8560,2 +np.float32,0xbf7e7d02,0xbf425493,2 +np.float32,0x3ddcdcf0,0x3ddc02c2,2 +np.float32,0x8026d27a,0x8026d27a,2 +np.float32,0x3d4c0fb1,0x3d4be484,2 +np.float32,0xbf27d2c9,0xbf134d7c,2 +np.float32,0x8029ff80,0x8029ff80,2 +np.float32,0x7f046d2c,0x3f800000,2 +np.float32,0x13f94b,0x13f94b,2 +np.float32,0x7f4ff922,0x3f800000,2 +np.float32,0x3f4ea2ed,0x3f2b03e4,2 +np.float32,0x3e7211f0,0x3e6da8cf,2 +np.float32,0x7f39d0cf,0x3f800000,2 +np.float32,0xfee57fc6,0xbf800000,2 +np.float32,0xff6fb326,0xbf800000,2 +np.float32,0xff800000,0xbf800000,2 +np.float32,0x3f0437a4,0x3ef32fcd,2 +np.float32,0xff546d1e,0xbf800000,2 +np.float32,0x3eb5645b,0x3eae2a5c,2 +np.float32,0x3f08a6e5,0x3ef9ff8f,2 +np.float32,0x80800000,0x80800000,2 +np.float32,0x7f3413da,0x3f800000,2 +np.float32,0xfd760140,0xbf800000,2 +np.float32,0x7f3ad24a,0x3f800000,2 +np.float32,0xbf56e812,0xbf2f7f14,2 +np.float32,0xbece0338,0xbec3920a,2 +np.float32,0xbeede54a,0xbede22ae,2 +np.float32,0x7eaeb215,0x3f800000,2 +np.float32,0x3c213c00,0x3c213aab,2 +np.float32,0x7eaac217,0x3f800000,2 +np.float32,0xbf2f740e,0xbf1851a6,2 +np.float32,0x7f6ca5b8,0x3f800000,2 +np.float32,0xff42ce95,0xbf800000,2 +np.float32,0x802e4189,0x802e4189,2 +np.float32,0x80000001,0x80000001,2 +np.float32,0xbf31f298,0xbf19ebbe,2 +np.float32,0x3dcb0e6c,0x3dca64c1,2 +np.float32,0xbf29599c,0xbf145204,2 +np.float32,0x2e33f2,0x2e33f2,2 +np.float32,0x1c11e7,0x1c11e7,2 +np.float32,0x3f3b188d,0x3f1fa302,2 +np.float32,0x113300,0x113300,2 +np.float32,0x8054589e,0x8054589e,2 +np.float32,0x2a9e69,0x2a9e69,2 +np.float32,0xff513af7,0xbf800000,2 +np.float32,0x7f2e987a,0x3f800000,2 +np.float32,0x807cd426,0x807cd426,2 +np.float32,0x7f0dc4e4,0x3f800000,2 +np.float32,0x7e7c0d56,0x3f800000,2 +np.float32,0x5cb076,0x5cb076,2 +np.float32,0x80576426,0x80576426,2 +np.float32,0xff616222,0xbf800000,2 +np.float32,0xbf7accb5,0xbf40c005,2 +np.float32,0xfe4118c8,0xbf800000,2 +np.float32,0x804b9327,0x804b9327,2 +np.float32,0x3ed2b428,0x3ec79026,2 +np.float32,0x3f4a048f,0x3f286d41,2 +np.float32,0x800000,0x800000,2 +np.float32,0x7efceb9f,0x3f800000,2 +np.float32,0xbf5fe2d3,0xbf34246f,2 +np.float32,0x807e086a,0x807e086a,2 +np.float32,0x7ef5e856,0x3f800000,2 +np.float32,0xfc546f00,0xbf800000,2 +np.float32,0x3a65b890,0x3a65b88c,2 +np.float32,0x800cfa70,0x800cfa70,2 +np.float32,0x80672ea7,0x80672ea7,2 +np.float32,0x3f2bf3f2,0x3f160a12,2 +np.float32,0xbf0ab67e,0xbefd2004,2 +np.float32,0x3f2a0bb4,0x3f14c824,2 +np.float32,0xbeff5374,0xbeec12d7,2 +np.float32,0xbf221b58,0xbf0f6dff,2 +np.float32,0x7cc1f3,0x7cc1f3,2 +np.float32,0x7f234e3c,0x3f800000,2 +np.float32,0x3f60ff10,0x3f34b37d,2 +np.float32,0xbdd957f0,0xbdd887fe,2 +np.float32,0x801ce048,0x801ce048,2 +np.float32,0x7f3a8f76,0x3f800000,2 +np.float32,0xfdd13d08,0xbf800000,2 +np.float32,0x3e9af4a4,0x3e966445,2 +np.float32,0x1e55f3,0x1e55f3,2 +np.float32,0x327905,0x327905,2 +np.float32,0xbf03cf0b,0xbef28dad,2 +np.float32,0x3f0223d3,0x3eeff4f4,2 +np.float32,0xfdd96ff8,0xbf800000,2 +np.float32,0x428db8,0x428db8,2 +np.float32,0xbd74a200,0xbd7457a5,2 +np.float32,0x2a63a3,0x2a63a3,2 +np.float32,0x7e8aa9d7,0x3f800000,2 +np.float32,0x7f50b810,0x3f800000,2 +np.float32,0xbce5ec80,0xbce5dd0d,2 +np.float32,0x54711,0x54711,2 +np.float32,0x8074212a,0x8074212a,2 +np.float32,0xbf13d0ec,0xbf0551b5,2 +np.float32,0x80217f89,0x80217f89,2 +np.float32,0x3f300824,0x3f18b12f,2 +np.float32,0x7d252462,0x3f800000,2 +np.float32,0x807a154c,0x807a154c,2 +np.float32,0x8064d4b9,0x8064d4b9,2 +np.float32,0x804543b4,0x804543b4,2 +np.float32,0x4c269e,0x4c269e,2 +np.float32,0xff39823b,0xbf800000,2 +np.float32,0x3f5040b1,0x3f2be80b,2 +np.float32,0xbf7028c1,0xbf3bfee5,2 +np.float32,0x3e94eb78,0x3e90db93,2 +np.float32,0x3ccc1b40,0x3ccc1071,2 +np.float32,0xbe8796f0,0xbe8481a1,2 +np.float32,0xfc767bc0,0xbf800000,2 +np.float32,0xbdd81ed0,0xbdd75259,2 +np.float32,0xbed31bfc,0xbec7e82d,2 +np.float32,0xbf350a9e,0xbf1be1c6,2 +np.float32,0x33d41f,0x33d41f,2 +np.float32,0x3f73e076,0x3f3db0b5,2 +np.float32,0x3f800000,0x3f42f7d6,2 +np.float32,0xfee27c14,0xbf800000,2 +np.float32,0x7f6e4388,0x3f800000,2 +np.float32,0x4ea19b,0x4ea19b,2 +np.float32,0xff2d75f2,0xbf800000,2 +np.float32,0x7ee225ca,0x3f800000,2 +np.float32,0x3f31cb4b,0x3f19d2a4,2 +np.float32,0x80554a9d,0x80554a9d,2 +np.float32,0x3f4d57fa,0x3f2a4c03,2 +np.float32,0x3eac6a88,0x3ea62e72,2 +np.float32,0x773520,0x773520,2 +np.float32,0x8079c20a,0x8079c20a,2 +np.float32,0xfeb1eb94,0xbf800000,2 +np.float32,0xfe8d81c0,0xbf800000,2 +np.float32,0xfeed6902,0xbf800000,2 +np.float32,0x8066bb65,0x8066bb65,2 +np.float32,0x7f800000,0x3f800000,2 +np.float32,0x1,0x1,2 +np.float32,0x3f2c66a4,0x3f16554a,2 +np.float32,0x3cd231,0x3cd231,2 +np.float32,0x3e932a64,0x3e8f3e0c,2 +np.float32,0xbf3ab1c3,0xbf1f6420,2 +np.float32,0xbc902b20,0xbc902751,2 +np.float32,0x7dac0a5b,0x3f800000,2 +np.float32,0x3f2b7e06,0x3f15bc93,2 +np.float32,0x75de0,0x75de0,2 +np.float32,0x8020b7bc,0x8020b7bc,2 +np.float32,0x3f257cda,0x3f11bb6b,2 +np.float32,0x807480e5,0x807480e5,2 +np.float32,0xfe00d758,0xbf800000,2 +np.float32,0xbd9b54e0,0xbd9b08cd,2 +np.float32,0x4dfbe3,0x4dfbe3,2 +np.float32,0xff645788,0xbf800000,2 +np.float32,0xbe92c80a,0xbe8ee360,2 +np.float32,0x3eb9b400,0x3eb1f77c,2 +np.float32,0xff20b69c,0xbf800000,2 +np.float32,0x623c28,0x623c28,2 +np.float32,0xff235748,0xbf800000,2 +np.float32,0xbf3bbc56,0xbf2006f3,2 +np.float32,0x7e6f78b1,0x3f800000,2 +np.float32,0x7e1584e9,0x3f800000,2 +np.float32,0xff463423,0xbf800000,2 +np.float32,0x8002861e,0x8002861e,2 +np.float32,0xbf0491d8,0xbef3bb6a,2 +np.float32,0x7ea3bc17,0x3f800000,2 +np.float32,0xbedde7ea,0xbed0fb49,2 +np.float32,0xbf4bac48,0xbf295c8b,2 +np.float32,0xff28e276,0xbf800000,2 +np.float32,0x7e8f3bf5,0x3f800000,2 +np.float32,0xbf0a4a73,0xbefc7c9d,2 +np.float32,0x7ec5bd96,0x3f800000,2 +np.float32,0xbf4c22e8,0xbf299f2c,2 +np.float32,0x3e3970a0,0x3e377064,2 +np.float32,0x3ecb1118,0x3ec10c88,2 +np.float32,0xff548a7a,0xbf800000,2 +np.float32,0xfe8ec550,0xbf800000,2 +np.float32,0x3e158985,0x3e147bb2,2 +np.float32,0x7eb79ad7,0x3f800000,2 +np.float32,0xbe811384,0xbe7cd1ab,2 +np.float32,0xbdc4b9e8,0xbdc41f94,2 +np.float32,0xe0fd5,0xe0fd5,2 +np.float32,0x3f2485f2,0x3f11142b,2 +np.float32,0xfdd3c3d8,0xbf800000,2 +np.float32,0xfe8458e6,0xbf800000,2 +np.float32,0x3f06e398,0x3ef74dd8,2 +np.float32,0xff4752cf,0xbf800000,2 +np.float32,0x6998e3,0x6998e3,2 +np.float32,0x626751,0x626751,2 +np.float32,0x806631d6,0x806631d6,2 +np.float32,0xbf0c3cf4,0xbeff6c54,2 +np.float32,0x802860f8,0x802860f8,2 +np.float32,0xff2952cb,0xbf800000,2 +np.float32,0xff31d40b,0xbf800000,2 +np.float32,0x7c389473,0x3f800000,2 +np.float32,0x3dcd2f1b,0x3dcc8010,2 +np.float32,0x3d70c29f,0x3d707bbc,2 +np.float32,0x3f6bd386,0x3f39f979,2 +np.float32,0x1efec9,0x1efec9,2 +np.float32,0x3f675518,0x3f37d338,2 +np.float32,0x5fdbe3,0x5fdbe3,2 +np.float32,0x5d684e,0x5d684e,2 +np.float32,0xbedfe748,0xbed2a4c7,2 +np.float32,0x3f0cb07a,0x3f000cdc,2 +np.float32,0xbf77151e,0xbf3f1f5d,2 +np.float32,0x7f038ea0,0x3f800000,2 +np.float32,0x3ea91be9,0x3ea3376f,2 +np.float32,0xbdf20738,0xbdf0e861,2 +np.float32,0x807ea380,0x807ea380,2 +np.float32,0x2760ca,0x2760ca,2 +np.float32,0x7f20a544,0x3f800000,2 +np.float32,0x76ed83,0x76ed83,2 +np.float32,0x15a441,0x15a441,2 +np.float32,0x74c76d,0x74c76d,2 +np.float32,0xff3d5c2a,0xbf800000,2 +np.float32,0x7f6a76a6,0x3f800000,2 +np.float32,0x3eb87067,0x3eb0dabe,2 +np.float32,0xbf515cfa,0xbf2c83af,2 +np.float32,0xbdececc0,0xbdebdf9d,2 +np.float32,0x7f51b7c2,0x3f800000,2 +np.float32,0x3eb867ac,0x3eb0d30d,2 +np.float32,0xff50fd84,0xbf800000,2 +np.float32,0x806945e9,0x806945e9,2 +np.float32,0x298eed,0x298eed,2 +np.float32,0x441f53,0x441f53,2 +np.float32,0x8066d4b0,0x8066d4b0,2 +np.float32,0x3f6a479c,0x3f393dae,2 +np.float32,0xbf6ce2a7,0xbf3a7921,2 +np.float32,0x8064c3cf,0x8064c3cf,2 +np.float32,0xbf2d8146,0xbf170dfd,2 +np.float32,0x3b0e82,0x3b0e82,2 +np.float32,0xbea97574,0xbea387dc,2 +np.float32,0x67ad15,0x67ad15,2 +np.float32,0xbf68478f,0xbf38485a,2 +np.float32,0xff6f593b,0xbf800000,2 +np.float32,0xbeda26f2,0xbecdd806,2 +np.float32,0xbd216d50,0xbd2157ee,2 +np.float32,0x7a8544db,0x3f800000,2 +np.float32,0x801df20b,0x801df20b,2 +np.float32,0xbe14ba24,0xbe13b0a8,2 +np.float32,0xfdc6d8a8,0xbf800000,2 +np.float32,0x1d6b49,0x1d6b49,2 +np.float32,0x7f5ff1b8,0x3f800000,2 +np.float32,0x3f75e032,0x3f3e9625,2 +np.float32,0x7f2c5687,0x3f800000,2 +np.float32,0x3d95fb6c,0x3d95b6ee,2 +np.float32,0xbea515e4,0xbe9f97c8,2 +np.float32,0x7f2b2cd7,0x3f800000,2 +np.float32,0x3f076f7a,0x3ef8241e,2 +np.float32,0x5178ca,0x5178ca,2 +np.float32,0xbeb5976a,0xbeae5781,2 +np.float32,0x3e3c3563,0x3e3a1e13,2 +np.float32,0xbd208530,0xbd20702a,2 +np.float32,0x3eb03b04,0x3ea995ef,2 +np.float32,0x17fb9c,0x17fb9c,2 +np.float32,0xfca68e40,0xbf800000,2 +np.float32,0xbf5e7433,0xbf336a9f,2 +np.float32,0xff5b8d3d,0xbf800000,2 +np.float32,0x8003121d,0x8003121d,2 +np.float32,0xbe6dd344,0xbe69a3b0,2 +np.float32,0x67cc4,0x67cc4,2 +np.float32,0x9b01d,0x9b01d,2 +np.float32,0x127c13,0x127c13,2 +np.float32,0xfea5e3d6,0xbf800000,2 +np.float32,0xbdf5c610,0xbdf499c1,2 +np.float32,0x3aff4c00,0x3aff4beb,2 +np.float32,0x3b00afd0,0x3b00afc5,2 +np.float32,0x479618,0x479618,2 +np.float32,0x801cbd05,0x801cbd05,2 +np.float32,0x3ec9249f,0x3ebf6579,2 +np.float32,0x3535c4,0x3535c4,2 +np.float32,0xbeb4f662,0xbeadc915,2 +np.float32,0x8006fda6,0x8006fda6,2 +np.float32,0xbf4f3097,0xbf2b5239,2 +np.float32,0xbf3cb9a8,0xbf20a0e9,2 +np.float32,0x32ced0,0x32ced0,2 +np.float32,0x7ea34e76,0x3f800000,2 +np.float32,0x80063046,0x80063046,2 +np.float32,0x80727e8b,0x80727e8b,2 +np.float32,0xfd6b5780,0xbf800000,2 +np.float32,0x80109815,0x80109815,2 +np.float32,0xfdcc8a78,0xbf800000,2 +np.float32,0x81562,0x81562,2 +np.float32,0x803dfacc,0x803dfacc,2 +np.float32,0xbe204318,0xbe1ef75f,2 +np.float32,0xbf745d34,0xbf3de8e2,2 +np.float32,0xff13fdcc,0xbf800000,2 +np.float32,0x7f75ba8c,0x3f800000,2 +np.float32,0x806c04b4,0x806c04b4,2 +np.float32,0x3ec61ca6,0x3ebcc877,2 +np.float32,0xbeaea984,0xbea8301f,2 +np.float32,0xbf4dcd0e,0xbf2a8d34,2 +np.float32,0x802a01d3,0x802a01d3,2 +np.float32,0xbf747be5,0xbf3df6ad,2 +np.float32,0xbf75cbd2,0xbf3e8d0f,2 +np.float32,0x7db86576,0x3f800000,2 +np.float32,0xff49a2c3,0xbf800000,2 +np.float32,0xbedc5314,0xbecfa978,2 +np.float32,0x8078877b,0x8078877b,2 +np.float32,0xbead4824,0xbea6f499,2 +np.float32,0xbf3926e3,0xbf1e716c,2 +np.float32,0x807f4a1c,0x807f4a1c,2 +np.float32,0x7f2cd8fd,0x3f800000,2 +np.float32,0x806cfcca,0x806cfcca,2 +np.float32,0xff1aa048,0xbf800000,2 +np.float32,0x7eb9ea08,0x3f800000,2 +np.float32,0xbf1034bc,0xbf02ab3a,2 +np.float32,0xbd087830,0xbd086b44,2 +np.float32,0x7e071034,0x3f800000,2 +np.float32,0xbefcc9de,0xbeea122f,2 +np.float32,0x80796d7a,0x80796d7a,2 +np.float32,0x33ce46,0x33ce46,2 +np.float32,0x8074a783,0x8074a783,2 +np.float32,0xbe95a56a,0xbe918691,2 +np.float32,0xbf2ff3f4,0xbf18a42d,2 +np.float32,0x1633e9,0x1633e9,2 +np.float32,0x7f0f104b,0x3f800000,2 +np.float32,0xbf800000,0xbf42f7d6,2 +np.float32,0x3d2cd6,0x3d2cd6,2 +np.float32,0xfed43e16,0xbf800000,2 +np.float32,0x3ee6faec,0x3ed87d2c,2 +np.float32,0x3f2c32d0,0x3f163352,2 +np.float32,0xff4290c0,0xbf800000,2 +np.float32,0xbf66500e,0xbf37546a,2 +np.float32,0x7dfb8fe3,0x3f800000,2 +np.float32,0x3f20ba5d,0x3f0e7b16,2 +np.float32,0xff30c7ae,0xbf800000,2 +np.float32,0x1728a4,0x1728a4,2 +np.float32,0x340d82,0x340d82,2 +np.float32,0xff7870b7,0xbf800000,2 +np.float32,0xbeac6ac4,0xbea62ea7,2 +np.float32,0xbef936fc,0xbee73c36,2 +np.float32,0x3ec7e12c,0x3ebe4ef8,2 +np.float32,0x80673488,0x80673488,2 +np.float32,0xfdf14c90,0xbf800000,2 +np.float32,0x3f182568,0x3f08726e,2 +np.float32,0x7ed7dcd0,0x3f800000,2 +np.float32,0x3de4da34,0x3de3e790,2 +np.float32,0xff7fffff,0xbf800000,2 +np.float32,0x4ff90c,0x4ff90c,2 +np.float32,0x3efb0d1c,0x3ee8b1d6,2 +np.float32,0xbf66e952,0xbf379ef4,2 +np.float32,0xba9dc,0xba9dc,2 +np.float32,0xff67c766,0xbf800000,2 +np.float32,0x7f1ffc29,0x3f800000,2 +np.float32,0x3f51c906,0x3f2cbe99,2 +np.float32,0x3f2e5792,0x3f179968,2 +np.float32,0x3ecb9750,0x3ec17fa0,2 +np.float32,0x7f3fcefc,0x3f800000,2 +np.float32,0xbe4e30fc,0xbe4b72f9,2 +np.float32,0x7e9bc4ce,0x3f800000,2 +np.float32,0x7e70aa1f,0x3f800000,2 +np.float32,0x14c6e9,0x14c6e9,2 +np.float32,0xbcf327c0,0xbcf3157a,2 +np.float32,0xff1fd204,0xbf800000,2 +np.float32,0x7d934a03,0x3f800000,2 +np.float32,0x8028bf1e,0x8028bf1e,2 +np.float32,0x7f0800b7,0x3f800000,2 +np.float32,0xfe04825c,0xbf800000,2 +np.float32,0x807210ac,0x807210ac,2 +np.float32,0x3f7faf7c,0x3f42d5fd,2 +np.float32,0x3e04a543,0x3e03e899,2 +np.float32,0x3e98ea15,0x3e94863e,2 +np.float32,0x3d2a2e48,0x3d2a153b,2 +np.float32,0x7fa00000,0x7fe00000,2 +np.float32,0x20a488,0x20a488,2 +np.float32,0x3f6ba86a,0x3f39e51a,2 +np.float32,0x0,0x0,2 +np.float32,0x3e892ddd,0x3e85fcfe,2 +np.float32,0x3e2da627,0x3e2c00e0,2 +np.float32,0xff000a50,0xbf800000,2 +np.float32,0x3eb749f4,0x3eafd739,2 +np.float32,0x8024c0ae,0x8024c0ae,2 +np.float32,0xfc8f3b40,0xbf800000,2 +np.float32,0xbf685fc7,0xbf385405,2 +np.float32,0x3f1510e6,0x3f063a4f,2 +np.float32,0x3f68e8ad,0x3f3895d8,2 +np.float32,0x3dba8608,0x3dba0271,2 +np.float32,0xbf16ea10,0xbf079017,2 +np.float32,0xb3928,0xb3928,2 +np.float32,0xfe447c00,0xbf800000,2 +np.float32,0x3db9cd57,0x3db94b45,2 +np.float32,0x803b66b0,0x803b66b0,2 +np.float32,0x805b5e02,0x805b5e02,2 +np.float32,0x7ec93f61,0x3f800000,2 +np.float32,0x8005a126,0x8005a126,2 +np.float32,0x6d8888,0x6d8888,2 +np.float32,0x3e21b7de,0x3e206314,2 +np.float32,0xbec9c31e,0xbebfedc2,2 +np.float32,0xbea88aa8,0xbea2b4e5,2 +np.float32,0x3d8fc310,0x3d8f86bb,2 +np.float32,0xbf3cc68a,0xbf20a8b8,2 +np.float32,0x432690,0x432690,2 +np.float32,0xbe51d514,0xbe4ef1a3,2 +np.float32,0xbcda6d20,0xbcda5fe1,2 +np.float32,0xfe24e458,0xbf800000,2 +np.float32,0xfedc8c14,0xbf800000,2 +np.float32,0x7f7e9bd4,0x3f800000,2 +np.float32,0x3ebcc880,0x3eb4ab44,2 +np.float32,0xbe0aa490,0xbe09cd44,2 +np.float32,0x3dc9158c,0x3dc870c3,2 +np.float32,0x3e5c319e,0x3e58dc90,2 +np.float32,0x1d4527,0x1d4527,2 +np.float32,0x2dbf5,0x2dbf5,2 +np.float32,0xbf1f121f,0xbf0d5534,2 +np.float32,0x7e3e9ab5,0x3f800000,2 +np.float32,0x7f74b5c1,0x3f800000,2 +np.float32,0xbf6321ba,0xbf35c42b,2 +np.float32,0xbe5c7488,0xbe591c79,2 +np.float32,0x7e7b02cd,0x3f800000,2 +np.float32,0xfe7cbfa4,0xbf800000,2 +np.float32,0xbeace360,0xbea69a86,2 +np.float32,0x7e149b00,0x3f800000,2 +np.float32,0xbf61a700,0xbf35079a,2 +np.float32,0x7eb592a7,0x3f800000,2 +np.float32,0x3f2105e6,0x3f0eaf30,2 +np.float32,0xfd997a88,0xbf800000,2 +np.float32,0xff5d093b,0xbf800000,2 +np.float32,0x63aede,0x63aede,2 +np.float32,0x6907ee,0x6907ee,2 +np.float32,0xbf7578ee,0xbf3e680f,2 +np.float32,0xfea971e8,0xbf800000,2 +np.float32,0x3f21d0f5,0x3f0f3aed,2 +np.float32,0x3a50e2,0x3a50e2,2 +np.float32,0x7f0f5b1e,0x3f800000,2 +np.float32,0x805b9765,0x805b9765,2 +np.float32,0xbe764ab8,0xbe71a664,2 +np.float32,0x3eafac7f,0x3ea91701,2 +np.float32,0x807f4130,0x807f4130,2 +np.float32,0x7c5f31,0x7c5f31,2 +np.float32,0xbdbe0e30,0xbdbd8300,2 +np.float32,0x7ecfe4e0,0x3f800000,2 +np.float32,0xff7cb628,0xbf800000,2 +np.float32,0xff1842bc,0xbf800000,2 +np.float32,0xfd4163c0,0xbf800000,2 +np.float32,0x800e11f7,0x800e11f7,2 +np.float32,0x7f3adec8,0x3f800000,2 +np.float32,0x7f597514,0x3f800000,2 +np.float32,0xbe986e14,0xbe9414a4,2 +np.float32,0x800fa9d7,0x800fa9d7,2 +np.float32,0xff5b79c4,0xbf800000,2 +np.float32,0x80070565,0x80070565,2 +np.float32,0xbee5628e,0xbed72d60,2 +np.float32,0x3f438ef2,0x3f24b3ca,2 +np.float32,0xcda91,0xcda91,2 +np.float32,0x7e64151a,0x3f800000,2 +np.float32,0xbe95d584,0xbe91b2c7,2 +np.float32,0x8022c2a1,0x8022c2a1,2 +np.float32,0x7e7097bf,0x3f800000,2 +np.float32,0x80139035,0x80139035,2 +np.float32,0x804de2cb,0x804de2cb,2 +np.float32,0xfde5d178,0xbf800000,2 +np.float32,0x6d238,0x6d238,2 +np.float32,0x807abedc,0x807abedc,2 +np.float32,0x3f450a12,0x3f259129,2 +np.float32,0x3ef1c120,0x3ee141f2,2 +np.float32,0xfeb64dae,0xbf800000,2 +np.float32,0x8001732c,0x8001732c,2 +np.float32,0x3f76062e,0x3f3ea711,2 +np.float32,0x3eddd550,0x3ed0ebc8,2 +np.float32,0xff5ca1d4,0xbf800000,2 +np.float32,0xbf49dc5e,0xbf285673,2 +np.float32,0x7e9e5438,0x3f800000,2 +np.float32,0x7e83625e,0x3f800000,2 +np.float32,0x3f5dc41c,0x3f3310da,2 +np.float32,0x3f583efa,0x3f30342f,2 +np.float32,0xbe26bf88,0xbe254a2d,2 +np.float32,0xff1e0beb,0xbf800000,2 +np.float32,0xbe2244c8,0xbe20ec86,2 +np.float32,0xff0b1630,0xbf800000,2 +np.float32,0xff338dd6,0xbf800000,2 +np.float32,0x3eafc22c,0x3ea92a51,2 +np.float32,0x800ea07f,0x800ea07f,2 +np.float32,0x3f46f006,0x3f26aa7e,2 +np.float32,0x3e5f57cd,0x3e5bde16,2 +np.float32,0xbf1b2d8e,0xbf0a9a93,2 +np.float32,0xfeacdbe0,0xbf800000,2 +np.float32,0x7e5ea4bc,0x3f800000,2 +np.float32,0xbf51cbe2,0xbf2cc027,2 +np.float32,0x8073644c,0x8073644c,2 +np.float32,0xff2d6bfe,0xbf800000,2 +np.float32,0x3f65f0f6,0x3f37260a,2 +np.float32,0xff4b37a6,0xbf800000,2 +np.float32,0x712df7,0x712df7,2 +np.float32,0x7f71ef17,0x3f800000,2 +np.float32,0x8042245c,0x8042245c,2 +np.float32,0x3e5dde7b,0x3e5a760d,2 +np.float32,0x8069317d,0x8069317d,2 +np.float32,0x807932dd,0x807932dd,2 +np.float32,0x802f847e,0x802f847e,2 +np.float32,0x7e9300,0x7e9300,2 +np.float32,0x8040b4ab,0x8040b4ab,2 +np.float32,0xff76ef8e,0xbf800000,2 +np.float32,0x4aae3a,0x4aae3a,2 +np.float32,0x8058de73,0x8058de73,2 +np.float32,0x7e4d58c0,0x3f800000,2 +np.float32,0x3d811b30,0x3d80ef79,2 +np.float32,0x7ec952cc,0x3f800000,2 +np.float32,0xfe162b1c,0xbf800000,2 +np.float32,0x3f0f1187,0x3f01d367,2 +np.float32,0xbf2f3458,0xbf182878,2 +np.float32,0x5ceb14,0x5ceb14,2 +np.float32,0xbec29476,0xbeb9b939,2 +np.float32,0x3e71f943,0x3e6d9176,2 +np.float32,0x3ededefc,0x3ed1c909,2 +np.float32,0x805df6ac,0x805df6ac,2 +np.float32,0x3e5ae2c8,0x3e579ca8,2 +np.float32,0x3f6ad2c3,0x3f397fdf,2 +np.float32,0x7d5f94d3,0x3f800000,2 +np.float32,0xbeec7fe4,0xbedd0037,2 +np.float32,0x3f645304,0x3f365b0d,2 +np.float32,0xbf69a087,0xbf38edef,2 +np.float32,0x8025102e,0x8025102e,2 +np.float32,0x800db486,0x800db486,2 +np.float32,0x4df6c7,0x4df6c7,2 +np.float32,0x806d8cdd,0x806d8cdd,2 +np.float32,0x7f0c78cc,0x3f800000,2 +np.float32,0x7e1cf70b,0x3f800000,2 +np.float32,0x3e0ae570,0x3e0a0cf7,2 +np.float32,0x80176ef8,0x80176ef8,2 +np.float32,0x3f38b60c,0x3f1e2bbb,2 +np.float32,0x3d3071e0,0x3d3055f5,2 +np.float32,0x3ebfcfdd,0x3eb750a9,2 +np.float32,0xfe2cdec0,0xbf800000,2 +np.float32,0x7eeb2eed,0x3f800000,2 +np.float32,0x8026c904,0x8026c904,2 +np.float32,0xbec79bde,0xbebe133a,2 +np.float32,0xbf7dfab6,0xbf421d47,2 +np.float32,0x805b3cfd,0x805b3cfd,2 +np.float32,0xfdfcfb68,0xbf800000,2 +np.float32,0xbd537ec0,0xbd534eaf,2 +np.float32,0x52ce73,0x52ce73,2 +np.float32,0xfeac6ea6,0xbf800000,2 +np.float32,0x3f2c2990,0x3f162d41,2 +np.float32,0x3e3354e0,0x3e318539,2 +np.float32,0x802db22b,0x802db22b,2 +np.float32,0x7f0faa83,0x3f800000,2 +np.float32,0x7f10e161,0x3f800000,2 +np.float32,0x7f165c60,0x3f800000,2 +np.float32,0xbf5a756f,0xbf315c82,2 +np.float32,0x7f5a4b68,0x3f800000,2 +np.float32,0xbd77fbf0,0xbd77ae7c,2 +np.float32,0x65d83c,0x65d83c,2 +np.float32,0x3e5f28,0x3e5f28,2 +np.float32,0x8040ec92,0x8040ec92,2 +np.float32,0xbf2b41a6,0xbf1594d5,2 +np.float32,0x7f2f88f1,0x3f800000,2 +np.float32,0xfdb64ab8,0xbf800000,2 +np.float32,0xbf7a3ff1,0xbf4082f5,2 +np.float32,0x1948fc,0x1948fc,2 +np.float32,0x802c1039,0x802c1039,2 +np.float32,0x80119274,0x80119274,2 +np.float32,0x7e885d7b,0x3f800000,2 +np.float32,0xfaf6a,0xfaf6a,2 +np.float32,0x3eba28c4,0x3eb25e1d,2 +np.float32,0x3e4df370,0x3e4b37da,2 +np.float32,0xbf19eff6,0xbf09b97d,2 +np.float32,0xbeddd3c6,0xbed0ea7f,2 +np.float32,0xff6fc971,0xbf800000,2 +np.float32,0x7e93de29,0x3f800000,2 +np.float32,0x3eb12332,0x3eaa6485,2 +np.float32,0x3eb7c6e4,0x3eb04563,2 +np.float32,0x4a67ee,0x4a67ee,2 +np.float32,0xff1cafde,0xbf800000,2 +np.float32,0x3f5e2812,0x3f3343da,2 +np.float32,0x3f060e04,0x3ef605d4,2 +np.float32,0x3e9027d8,0x3e8c76a6,2 +np.float32,0xe2d33,0xe2d33,2 +np.float32,0xff4c94fc,0xbf800000,2 +np.float32,0xbf574908,0xbf2fb26b,2 +np.float32,0xbf786c08,0xbf3fb68e,2 +np.float32,0x8011ecab,0x8011ecab,2 +np.float32,0xbf061c6a,0xbef61bfa,2 +np.float32,0x7eea5f9d,0x3f800000,2 +np.float32,0x3ea2e19c,0x3e9d99a5,2 +np.float32,0x8071550c,0x8071550c,2 +np.float32,0x41c70b,0x41c70b,2 +np.float32,0x80291fc8,0x80291fc8,2 +np.float32,0x43b1ec,0x43b1ec,2 +np.float32,0x32f5a,0x32f5a,2 +np.float32,0xbe9310ec,0xbe8f2692,2 +np.float32,0x7f75f6bf,0x3f800000,2 +np.float32,0x3e6642a6,0x3e6274d2,2 +np.float32,0x3ecb88e0,0x3ec1733f,2 +np.float32,0x804011b6,0x804011b6,2 +np.float32,0x80629cca,0x80629cca,2 +np.float32,0x8016b914,0x8016b914,2 +np.float32,0xbdd05fc0,0xbdcfa870,2 +np.float32,0x807b824d,0x807b824d,2 +np.float32,0xfeec2576,0xbf800000,2 +np.float32,0xbf54bf22,0xbf2e584c,2 +np.float32,0xbf185eb0,0xbf089b6b,2 +np.float32,0xfbc09480,0xbf800000,2 +np.float32,0x3f413054,0x3f234e25,2 +np.float32,0x7e9e32b8,0x3f800000,2 +np.float32,0x266296,0x266296,2 +np.float32,0x460284,0x460284,2 +np.float32,0x3eb0b056,0x3ea9fe5a,2 +np.float32,0x1a7be5,0x1a7be5,2 +np.float32,0x7f099895,0x3f800000,2 +np.float32,0x3f3614f0,0x3f1c88ef,2 +np.float32,0x7e757dc2,0x3f800000,2 +np.float32,0x801fc91e,0x801fc91e,2 +np.float32,0x3f5ce37d,0x3f329ddb,2 +np.float32,0x3e664d70,0x3e627f15,2 +np.float32,0xbf38ed78,0xbf1e4dfa,2 +np.float32,0xbf5c563d,0xbf325543,2 +np.float32,0xbe91cc54,0xbe8dfb24,2 +np.float32,0x3d767fbe,0x3d7633ac,2 +np.float32,0xbf6aeb40,0xbf398b7f,2 +np.float32,0x7f40508b,0x3f800000,2 +np.float32,0x2650df,0x2650df,2 +np.float32,0xbe8cea3c,0xbe897628,2 +np.float32,0x80515af8,0x80515af8,2 +np.float32,0x7f423986,0x3f800000,2 +np.float32,0xbdf250e8,0xbdf1310c,2 +np.float32,0xfe89288a,0xbf800000,2 +np.float32,0x397b3b,0x397b3b,2 +np.float32,0x7e5e91b0,0x3f800000,2 +np.float32,0x6866e2,0x6866e2,2 +np.float32,0x7f4d8877,0x3f800000,2 +np.float32,0x3e6c4a21,0x3e682ee3,2 +np.float32,0xfc3d5980,0xbf800000,2 +np.float32,0x7eae2cd0,0x3f800000,2 +np.float32,0xbf241222,0xbf10c579,2 +np.float32,0xfebc02de,0xbf800000,2 +np.float32,0xff6e0645,0xbf800000,2 +np.float32,0x802030b6,0x802030b6,2 +np.float32,0x7ef9a441,0x3f800000,2 +np.float32,0x3fcf9f,0x3fcf9f,2 +np.float32,0xbf0ccf13,0xbf0023cc,2 +np.float32,0xfefee688,0xbf800000,2 +np.float32,0xbf6c8e0c,0xbf3a5160,2 +np.float32,0xfe749c28,0xbf800000,2 +np.float32,0x7f7fffff,0x3f800000,2 +np.float32,0x58c1a0,0x58c1a0,2 +np.float32,0x3f2de0a1,0x3f174c17,2 +np.float32,0xbf5f7138,0xbf33eb03,2 +np.float32,0x3da15270,0x3da0fd3c,2 +np.float32,0x3da66560,0x3da607e4,2 +np.float32,0xbf306f9a,0xbf18f3c6,2 +np.float32,0x3e81a4de,0x3e7de293,2 +np.float32,0xbebb5fb8,0xbeb36f1a,2 +np.float32,0x14bf64,0x14bf64,2 +np.float32,0xbeac46c6,0xbea60e73,2 +np.float32,0xbdcdf210,0xbdcd4111,2 +np.float32,0x3f7e3cd9,0x3f42395e,2 +np.float32,0xbc4be640,0xbc4be38e,2 +np.float32,0xff5f53b4,0xbf800000,2 +np.float32,0xbf1315ae,0xbf04c90b,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0xbf6a4149,0xbf393aaa,2 +np.float32,0x3f66b8ee,0x3f378772,2 +np.float32,0xff29293e,0xbf800000,2 +np.float32,0xbcc989c0,0xbcc97f58,2 +np.float32,0xbd9a1b70,0xbd99d125,2 +np.float32,0xfef353cc,0xbf800000,2 +np.float32,0xbdc30cf0,0xbdc27683,2 +np.float32,0xfdfd6768,0xbf800000,2 +np.float32,0x7ebac44c,0x3f800000,2 +np.float32,0xff453cd6,0xbf800000,2 +np.float32,0x3ef07720,0x3ee03787,2 +np.float32,0x80219c14,0x80219c14,2 +np.float32,0x805553a8,0x805553a8,2 +np.float32,0x80703928,0x80703928,2 +np.float32,0xff16d3a7,0xbf800000,2 +np.float32,0x3f1472bc,0x3f05c77b,2 +np.float32,0x3eeea37a,0x3edebcf9,2 +np.float32,0x3db801e6,0x3db7838d,2 +np.float32,0x800870d2,0x800870d2,2 +np.float32,0xbea1172c,0xbe9bfa32,2 +np.float32,0x3f1f5e7c,0x3f0d8a42,2 +np.float32,0x123cdb,0x123cdb,2 +np.float32,0x7f6e6b06,0x3f800000,2 +np.float32,0x3ed80573,0x3ecc0def,2 +np.float32,0xfea31b82,0xbf800000,2 +np.float32,0x6744e0,0x6744e0,2 +np.float32,0x695e8b,0x695e8b,2 +np.float32,0xbee3888a,0xbed5a67d,2 +np.float32,0x7f64bc2a,0x3f800000,2 +np.float32,0x7f204244,0x3f800000,2 +np.float32,0x7f647102,0x3f800000,2 +np.float32,0x3dd8ebc0,0x3dd81d03,2 +np.float32,0x801e7ab1,0x801e7ab1,2 +np.float32,0x7d034b56,0x3f800000,2 +np.float32,0x7fc00000,0x7fc00000,2 +np.float32,0x80194193,0x80194193,2 +np.float32,0xfe31c8d4,0xbf800000,2 +np.float32,0x7fc0c4,0x7fc0c4,2 +np.float32,0xd95bf,0xd95bf,2 +np.float32,0x7e4f991d,0x3f800000,2 +np.float32,0x7fc563,0x7fc563,2 +np.float32,0xbe3fcccc,0xbe3d968a,2 +np.float32,0xfdaaa1c8,0xbf800000,2 +np.float32,0xbf48e449,0xbf27c949,2 +np.float32,0x3eb6c584,0x3eaf625e,2 +np.float32,0xbea35a74,0xbe9e0702,2 +np.float32,0x3eeab47a,0x3edb89d5,2 +np.float32,0xbed99556,0xbecd5de5,2 +np.float64,0xbfb94a81e0329500,0xbfb935867ba761fe,2 +np.float64,0xbfec132f1678265e,0xbfe6900eb097abc3,2 +np.float64,0x5685ea72ad0be,0x5685ea72ad0be,2 +np.float64,0xbfd74d3169ae9a62,0xbfd652e09b9daf32,2 +np.float64,0xbfe28df53d651bea,0xbfe0b8a7f50ab433,2 +np.float64,0x0,0x0,2 +np.float64,0xbfed912738bb224e,0xbfe749e3732831ae,2 +np.float64,0x7fcc6faed838df5d,0x3ff0000000000000,2 +np.float64,0xbfe95fe9a432bfd3,0xbfe51f6349919910,2 +np.float64,0xbfc4d5900b29ab20,0xbfc4a6f496179b8b,2 +np.float64,0xbfcd6025033ac04c,0xbfccded7b34b49b0,2 +np.float64,0xbfdfa655b43f4cac,0xbfdd4ca1e5bb9db8,2 +np.float64,0xe7ea5c7fcfd4c,0xe7ea5c7fcfd4c,2 +np.float64,0xffa5449ca42a8940,0xbff0000000000000,2 +np.float64,0xffe63294c1ac6529,0xbff0000000000000,2 +np.float64,0x7feb9cbae7f73975,0x3ff0000000000000,2 +np.float64,0x800eb07c3e3d60f9,0x800eb07c3e3d60f9,2 +np.float64,0x3fc95777e932aef0,0x3fc9040391e20c00,2 +np.float64,0x800736052dee6c0b,0x800736052dee6c0b,2 +np.float64,0x3fe9ae4afd335c96,0x3fe54b569bab45c7,2 +np.float64,0x7fee4c94217c9927,0x3ff0000000000000,2 +np.float64,0x80094b594bd296b3,0x80094b594bd296b3,2 +np.float64,0xffe5adbcee6b5b7a,0xbff0000000000000,2 +np.float64,0x3fecb8eab47971d5,0x3fe6e236be6f27e9,2 +np.float64,0x44956914892ae,0x44956914892ae,2 +np.float64,0xbfe3bd18ef677a32,0xbfe190bf1e07200c,2 +np.float64,0x800104e5b46209cc,0x800104e5b46209cc,2 +np.float64,0x8008fbcecf71f79e,0x8008fbcecf71f79e,2 +np.float64,0x800f0a46a0be148d,0x800f0a46a0be148d,2 +np.float64,0x7fe657a0702caf40,0x3ff0000000000000,2 +np.float64,0xffd3ff1a9027fe36,0xbff0000000000000,2 +np.float64,0x3fe78bc87bef1790,0x3fe40d2e63aaf029,2 +np.float64,0x7feeabdc4c7d57b8,0x3ff0000000000000,2 +np.float64,0xbfabd28d8437a520,0xbfabcb8ce03a0e56,2 +np.float64,0xbfddc3a133bb8742,0xbfdbc9fdb2594451,2 +np.float64,0x7fec911565b9222a,0x3ff0000000000000,2 +np.float64,0x71302604e2605,0x71302604e2605,2 +np.float64,0xee919d2bdd234,0xee919d2bdd234,2 +np.float64,0xbfc04fcff3209fa0,0xbfc0395a739a2ce4,2 +np.float64,0xffe4668a36e8cd14,0xbff0000000000000,2 +np.float64,0xbfeeafeebefd5fde,0xbfe7cd5f3d61a3ec,2 +np.float64,0x7fddb34219bb6683,0x3ff0000000000000,2 +np.float64,0xbfd2cac6cba5958e,0xbfd24520abb2ff36,2 +np.float64,0xbfb857e49630afc8,0xbfb8452d5064dec2,2 +np.float64,0x3fd2dbf90b25b7f2,0x3fd254eaf48484c2,2 +np.float64,0x800af65c94f5ecba,0x800af65c94f5ecba,2 +np.float64,0xa0eef4bf41ddf,0xa0eef4bf41ddf,2 +np.float64,0xffd8e0a4adb1c14a,0xbff0000000000000,2 +np.float64,0xffe858f6e870b1ed,0xbff0000000000000,2 +np.float64,0x3f94c2c308298580,0x3f94c208a4bb006d,2 +np.float64,0xffb45f0d7428be18,0xbff0000000000000,2 +np.float64,0x800ed4f43dbda9e9,0x800ed4f43dbda9e9,2 +np.float64,0x8002dd697e85bad4,0x8002dd697e85bad4,2 +np.float64,0x787ceab2f0f9e,0x787ceab2f0f9e,2 +np.float64,0xbfdff5fcc2bfebfa,0xbfdd8b736b128589,2 +np.float64,0x7fdb2b4294365684,0x3ff0000000000000,2 +np.float64,0xffe711e5e92e23cc,0xbff0000000000000,2 +np.float64,0x800b1c93f1163928,0x800b1c93f1163928,2 +np.float64,0x7fc524d2f22a49a5,0x3ff0000000000000,2 +np.float64,0x7fc88013b5310026,0x3ff0000000000000,2 +np.float64,0x3fe1a910c5e35222,0x3fe00fd779ebaa2a,2 +np.float64,0xbfb57ec9ca2afd90,0xbfb571e47ecb9335,2 +np.float64,0x7fd7594b20aeb295,0x3ff0000000000000,2 +np.float64,0x7fba4641ca348c83,0x3ff0000000000000,2 +np.float64,0xffe61393706c2726,0xbff0000000000000,2 +np.float64,0x7fd54f3c7baa9e78,0x3ff0000000000000,2 +np.float64,0xffe65ffb12ecbff6,0xbff0000000000000,2 +np.float64,0xbfba3b0376347608,0xbfba239cbbbd1b11,2 +np.float64,0x800200886d640112,0x800200886d640112,2 +np.float64,0xbfecf0ba4679e174,0xbfe6fd59de44a3ec,2 +np.float64,0xffe5c57e122b8afc,0xbff0000000000000,2 +np.float64,0x7fdaad0143355a02,0x3ff0000000000000,2 +np.float64,0x46ab32c08d567,0x46ab32c08d567,2 +np.float64,0x7ff8000000000000,0x7ff8000000000000,2 +np.float64,0xbfda7980fdb4f302,0xbfd90fa9c8066109,2 +np.float64,0x3fe237703c646ee0,0x3fe07969f8d8805a,2 +np.float64,0x8000e9fcfc21d3fb,0x8000e9fcfc21d3fb,2 +np.float64,0xbfdfe6e958bfcdd2,0xbfdd7f952fe87770,2 +np.float64,0xbd7baf217af8,0xbd7baf217af8,2 +np.float64,0xbfceba9e4b3d753c,0xbfce26e54359869a,2 +np.float64,0xb95a2caf72b46,0xb95a2caf72b46,2 +np.float64,0x3fb407e25a280fc5,0x3fb3fd71e457b628,2 +np.float64,0xa1da09d943b41,0xa1da09d943b41,2 +np.float64,0xbfe9c7271cf38e4e,0xbfe559296b471738,2 +np.float64,0x3fefae6170ff5cc3,0x3fe83c70ba82f0e1,2 +np.float64,0x7fe7375348ae6ea6,0x3ff0000000000000,2 +np.float64,0xffe18c9cc6e31939,0xbff0000000000000,2 +np.float64,0x800483d13a6907a3,0x800483d13a6907a3,2 +np.float64,0x7fe772a18caee542,0x3ff0000000000000,2 +np.float64,0xffefff64e7bffec9,0xbff0000000000000,2 +np.float64,0x7fcffc31113ff861,0x3ff0000000000000,2 +np.float64,0x3fd91e067e323c0d,0x3fd7e70bf365a7b3,2 +np.float64,0xb0a6673d614cd,0xb0a6673d614cd,2 +np.float64,0xffef9a297e3f3452,0xbff0000000000000,2 +np.float64,0xffe87cc15e70f982,0xbff0000000000000,2 +np.float64,0xffefd6ad8e7fad5a,0xbff0000000000000,2 +np.float64,0x7fe3aaa3a8a75546,0x3ff0000000000000,2 +np.float64,0xddab0341bb561,0xddab0341bb561,2 +np.float64,0x3fe996d6d7332dae,0x3fe53e3ed5be2922,2 +np.float64,0x3fdbe66a18b7ccd4,0x3fda41e6053c1512,2 +np.float64,0x8914775d1228f,0x8914775d1228f,2 +np.float64,0x3fe44621d4688c44,0x3fe1ef9c7225f8bd,2 +np.float64,0xffab29a2a4365340,0xbff0000000000000,2 +np.float64,0xffc8d4a0c431a940,0xbff0000000000000,2 +np.float64,0xbfd426e085284dc2,0xbfd382e2a9617b87,2 +np.float64,0xbfd3b0a525a7614a,0xbfd3176856faccf1,2 +np.float64,0x80036dedcb06dbdc,0x80036dedcb06dbdc,2 +np.float64,0x3feb13823b762704,0x3fe60ca3facdb696,2 +np.float64,0x3fd7246b7bae48d8,0x3fd62f08afded155,2 +np.float64,0x1,0x1,2 +np.float64,0x3fe8ade4b9715bc9,0x3fe4b97cc1387d27,2 +np.float64,0x3fdf2dbec53e5b7e,0x3fdcecfeee33de95,2 +np.float64,0x3fe4292bf9685258,0x3fe1dbb5a6704090,2 +np.float64,0xbfd21acbb8243598,0xbfd1a2ff42174cae,2 +np.float64,0xdd0d2d01ba1a6,0xdd0d2d01ba1a6,2 +np.float64,0x3fa3f3d2f427e7a0,0x3fa3f13d6f101555,2 +np.float64,0x7fdabf4aceb57e95,0x3ff0000000000000,2 +np.float64,0xd4d9e39ba9b3d,0xd4d9e39ba9b3d,2 +np.float64,0xffec773396f8ee66,0xbff0000000000000,2 +np.float64,0x3fa88cc79031198f,0x3fa887f7ade722ba,2 +np.float64,0xffe63a92066c7524,0xbff0000000000000,2 +np.float64,0xbfcf514e2e3ea29c,0xbfceb510e99aaa19,2 +np.float64,0x9d78c19d3af18,0x9d78c19d3af18,2 +np.float64,0x7fdd748bfbbae917,0x3ff0000000000000,2 +np.float64,0xffb3594c4626b298,0xbff0000000000000,2 +np.float64,0x80068ce5b32d19cc,0x80068ce5b32d19cc,2 +np.float64,0x3fec63d60e78c7ac,0x3fe6b85536e44217,2 +np.float64,0x80080bad4dd0175b,0x80080bad4dd0175b,2 +np.float64,0xbfec6807baf8d010,0xbfe6ba69740f9687,2 +np.float64,0x7fedbae0bbfb75c0,0x3ff0000000000000,2 +np.float64,0x8001cb7aa3c396f6,0x8001cb7aa3c396f6,2 +np.float64,0x7fe1f1f03563e3df,0x3ff0000000000000,2 +np.float64,0x7fd83d3978307a72,0x3ff0000000000000,2 +np.float64,0xbfc05ffe9d20bffc,0xbfc049464e3f0af2,2 +np.float64,0xfe6e053ffcdc1,0xfe6e053ffcdc1,2 +np.float64,0xbfd3bdf39d277be8,0xbfd32386edf12726,2 +np.float64,0x800f41b27bde8365,0x800f41b27bde8365,2 +np.float64,0xbfe2c98390e59307,0xbfe0e3c9260fe798,2 +np.float64,0xffdd6206bcbac40e,0xbff0000000000000,2 +np.float64,0x67f35ef4cfe6c,0x67f35ef4cfe6c,2 +np.float64,0x800337e02ae66fc1,0x800337e02ae66fc1,2 +np.float64,0x3fe0ff70afe1fee1,0x3fdf1f46434330df,2 +np.float64,0x3fd7e0a1df2fc144,0x3fd6d3f82c8031e4,2 +np.float64,0x8008da5cd1b1b4ba,0x8008da5cd1b1b4ba,2 +np.float64,0x80065ec9e4ccbd95,0x80065ec9e4ccbd95,2 +np.float64,0x3fe1d1e559a3a3cb,0x3fe02e4f146aa1ab,2 +np.float64,0x7feb7d2f0836fa5d,0x3ff0000000000000,2 +np.float64,0xbfcb33ce9736679c,0xbfcaccd431b205bb,2 +np.float64,0x800e6d0adf5cda16,0x800e6d0adf5cda16,2 +np.float64,0x7fe46f272ca8de4d,0x3ff0000000000000,2 +np.float64,0x4fdfc73e9fbfa,0x4fdfc73e9fbfa,2 +np.float64,0x800958a13112b143,0x800958a13112b143,2 +np.float64,0xbfea01f877f403f1,0xbfe579a541594247,2 +np.float64,0xeefaf599ddf5f,0xeefaf599ddf5f,2 +np.float64,0x80038766c5e70ece,0x80038766c5e70ece,2 +np.float64,0x7fd31bc28ba63784,0x3ff0000000000000,2 +np.float64,0xbfe4df77eee9bef0,0xbfe257abe7083b77,2 +np.float64,0x7fe6790c78acf218,0x3ff0000000000000,2 +np.float64,0xffe7c66884af8cd0,0xbff0000000000000,2 +np.float64,0x800115e36f422bc8,0x800115e36f422bc8,2 +np.float64,0x3fc601945d2c0329,0x3fc5cab917bb20bc,2 +np.float64,0x3fd6ac9546ad592b,0x3fd5c55437ec3508,2 +np.float64,0xa7bd59294f7ab,0xa7bd59294f7ab,2 +np.float64,0x8005c26c8b8b84da,0x8005c26c8b8b84da,2 +np.float64,0x8257501704aea,0x8257501704aea,2 +np.float64,0x5b12aae0b6256,0x5b12aae0b6256,2 +np.float64,0x800232fe02c465fd,0x800232fe02c465fd,2 +np.float64,0x800dae28f85b5c52,0x800dae28f85b5c52,2 +np.float64,0x3fdade1ac135bc36,0x3fd964a2000ace25,2 +np.float64,0x3fed72ca04fae594,0x3fe73b9170d809f9,2 +np.float64,0x7fc6397e2b2c72fb,0x3ff0000000000000,2 +np.float64,0x3fe1f5296d23ea53,0x3fe048802d17621e,2 +np.float64,0xffe05544b920aa89,0xbff0000000000000,2 +np.float64,0xbfdb2e1588365c2c,0xbfd9a7e4113c713e,2 +np.float64,0xbfed6a06fa3ad40e,0xbfe7376be60535f8,2 +np.float64,0xbfe31dcaf5e63b96,0xbfe120417c46cac1,2 +np.float64,0xbfb7ed67ae2fdad0,0xbfb7dba14af33b00,2 +np.float64,0xffd32bb7eb265770,0xbff0000000000000,2 +np.float64,0x80039877b04730f0,0x80039877b04730f0,2 +np.float64,0x3f832e5630265cac,0x3f832e316f47f218,2 +np.float64,0xffe7fa7f732ff4fe,0xbff0000000000000,2 +np.float64,0x9649b87f2c937,0x9649b87f2c937,2 +np.float64,0xffaee447183dc890,0xbff0000000000000,2 +np.float64,0x7fe4e02dd869c05b,0x3ff0000000000000,2 +np.float64,0x3fe1d35e7463a6bd,0x3fe02f67bd21e86e,2 +np.float64,0xffe57f40fe2afe82,0xbff0000000000000,2 +np.float64,0xbfea1362b93426c6,0xbfe5833421dba8fc,2 +np.float64,0xffe9c689fe338d13,0xbff0000000000000,2 +np.float64,0xffc592dd102b25bc,0xbff0000000000000,2 +np.float64,0x3fd283c7aba5078f,0x3fd203d61d1398c3,2 +np.float64,0x8001d6820243ad05,0x8001d6820243ad05,2 +np.float64,0x3fe0ad5991e15ab4,0x3fdea14ef0d47fbd,2 +np.float64,0x3fe3916f2ee722de,0x3fe1722684a9ffb1,2 +np.float64,0xffef9e54e03f3ca9,0xbff0000000000000,2 +np.float64,0x7fe864faebb0c9f5,0x3ff0000000000000,2 +np.float64,0xbfed3587c3fa6b10,0xbfe71e7112df8a68,2 +np.float64,0xbfdd9efc643b3df8,0xbfdbac3a16caf208,2 +np.float64,0xbfd5ac08feab5812,0xbfd4e14575a6e41b,2 +np.float64,0xffda90fae6b521f6,0xbff0000000000000,2 +np.float64,0x8001380ecf22701e,0x8001380ecf22701e,2 +np.float64,0x7fed266fa5fa4cde,0x3ff0000000000000,2 +np.float64,0xffec6c0ac3b8d815,0xbff0000000000000,2 +np.float64,0x3fe7de43c32fbc88,0x3fe43ef62821a5a6,2 +np.float64,0x800bf4ffc357ea00,0x800bf4ffc357ea00,2 +np.float64,0x3fe125c975624b93,0x3fdf59b2de3eff5d,2 +np.float64,0x8004714c1028e299,0x8004714c1028e299,2 +np.float64,0x3fef1bfbf5fe37f8,0x3fe7fd2ba1b63c8a,2 +np.float64,0x800cae15c3195c2c,0x800cae15c3195c2c,2 +np.float64,0x7fde708e083ce11b,0x3ff0000000000000,2 +np.float64,0x7fbcee5df639dcbb,0x3ff0000000000000,2 +np.float64,0x800b1467141628cf,0x800b1467141628cf,2 +np.float64,0x3fe525e0d36a4bc2,0x3fe286b6e59e30f5,2 +np.float64,0xffe987f8b8330ff1,0xbff0000000000000,2 +np.float64,0x7e0a8284fc151,0x7e0a8284fc151,2 +np.float64,0x8006f982442df305,0x8006f982442df305,2 +np.float64,0xbfd75a3cb62eb47a,0xbfd65e54cee981c9,2 +np.float64,0x258e91104b1d3,0x258e91104b1d3,2 +np.float64,0xbfecd0056779a00b,0xbfe6ed7ae97fff1b,2 +np.float64,0x7fc3a4f9122749f1,0x3ff0000000000000,2 +np.float64,0x6e2b1024dc563,0x6e2b1024dc563,2 +np.float64,0x800d575ad4daaeb6,0x800d575ad4daaeb6,2 +np.float64,0xbfceafb1073d5f64,0xbfce1c93023d8414,2 +np.float64,0xffe895cb5f312b96,0xbff0000000000000,2 +np.float64,0x7fe7811ed4ef023d,0x3ff0000000000000,2 +np.float64,0xbfd93f952f327f2a,0xbfd803e6b5576b99,2 +np.float64,0xffdd883a3fbb1074,0xbff0000000000000,2 +np.float64,0x7fee5624eefcac49,0x3ff0000000000000,2 +np.float64,0xbfe264bb2624c976,0xbfe09a9b7cc896e7,2 +np.float64,0xffef14b417be2967,0xbff0000000000000,2 +np.float64,0xbfecbd0d94397a1b,0xbfe6e43bef852d9f,2 +np.float64,0xbfe20d9e4ba41b3c,0xbfe05a98e05846d9,2 +np.float64,0x10000000000000,0x10000000000000,2 +np.float64,0x7fefde93f7bfbd27,0x3ff0000000000000,2 +np.float64,0x80076b9e232ed73d,0x80076b9e232ed73d,2 +np.float64,0xbfe80df52c701bea,0xbfe45b754b433792,2 +np.float64,0x7fe3b5a637676b4b,0x3ff0000000000000,2 +np.float64,0x2c81d14c5903b,0x2c81d14c5903b,2 +np.float64,0x80038945c767128c,0x80038945c767128c,2 +np.float64,0xffeebaf544bd75ea,0xbff0000000000000,2 +np.float64,0xffdb1867d2b630d0,0xbff0000000000000,2 +np.float64,0x3fe3376eaee66ede,0x3fe13285579763d8,2 +np.float64,0xffddf65ca43becba,0xbff0000000000000,2 +np.float64,0xffec8e3e04791c7b,0xbff0000000000000,2 +np.float64,0x80064f4bde2c9e98,0x80064f4bde2c9e98,2 +np.float64,0x7fe534a085ea6940,0x3ff0000000000000,2 +np.float64,0xbfcbabe31d3757c8,0xbfcb3f8e70adf7e7,2 +np.float64,0xbfe45ca11e28b942,0xbfe1ff04515ef809,2 +np.float64,0x65f4df02cbe9d,0x65f4df02cbe9d,2 +np.float64,0xb08b0cbb61162,0xb08b0cbb61162,2 +np.float64,0x3feae2e8b975c5d1,0x3fe5f302b5e8eda2,2 +np.float64,0x7fcf277ff93e4eff,0x3ff0000000000000,2 +np.float64,0x80010999c4821334,0x80010999c4821334,2 +np.float64,0xbfd7f65911afecb2,0xbfd6e6e9cd098f8b,2 +np.float64,0x800e0560ec3c0ac2,0x800e0560ec3c0ac2,2 +np.float64,0x7fec4152ba3882a4,0x3ff0000000000000,2 +np.float64,0xbfb5c77cd42b8ef8,0xbfb5ba1336084908,2 +np.float64,0x457ff1b68afff,0x457ff1b68afff,2 +np.float64,0x5323ec56a647e,0x5323ec56a647e,2 +np.float64,0xbfeed16cf8bda2da,0xbfe7dc49fc9ae549,2 +np.float64,0xffe8446106b088c1,0xbff0000000000000,2 +np.float64,0xffb93cd13c3279a0,0xbff0000000000000,2 +np.float64,0x7fe515c2aeea2b84,0x3ff0000000000000,2 +np.float64,0x80099df83f933bf1,0x80099df83f933bf1,2 +np.float64,0x7fb3a375562746ea,0x3ff0000000000000,2 +np.float64,0x7fcd7efa243afdf3,0x3ff0000000000000,2 +np.float64,0xffe40cddb12819bb,0xbff0000000000000,2 +np.float64,0x8008b68eecd16d1e,0x8008b68eecd16d1e,2 +np.float64,0x2aec688055d8e,0x2aec688055d8e,2 +np.float64,0xffe23750bc646ea1,0xbff0000000000000,2 +np.float64,0x5adacf60b5b7,0x5adacf60b5b7,2 +np.float64,0x7fefb29b1cbf6535,0x3ff0000000000000,2 +np.float64,0xbfeadbf90175b7f2,0xbfe5ef55e2194794,2 +np.float64,0xeaad2885d55a5,0xeaad2885d55a5,2 +np.float64,0xffd7939fba2f2740,0xbff0000000000000,2 +np.float64,0x3fd187ea3aa30fd4,0x3fd11af023472386,2 +np.float64,0xbf6eb579c03d6b00,0xbf6eb57052f47019,2 +np.float64,0x3fefb67b3bff6cf6,0x3fe83fe4499969ac,2 +np.float64,0xbfe5183aacea3076,0xbfe27da1aa0b61a0,2 +np.float64,0xbfb83e47a2307c90,0xbfb82bcb0e12db42,2 +np.float64,0x80088849b1b11094,0x80088849b1b11094,2 +np.float64,0x800ceeed7399dddb,0x800ceeed7399dddb,2 +np.float64,0x80097cd90892f9b2,0x80097cd90892f9b2,2 +np.float64,0x7ec73feefd8e9,0x7ec73feefd8e9,2 +np.float64,0x7fe3291de5a6523b,0x3ff0000000000000,2 +np.float64,0xbfd537086daa6e10,0xbfd4787af5f60653,2 +np.float64,0x800e8ed4455d1da9,0x800e8ed4455d1da9,2 +np.float64,0x800ef8d19cbdf1a3,0x800ef8d19cbdf1a3,2 +np.float64,0x800dc4fa3a5b89f5,0x800dc4fa3a5b89f5,2 +np.float64,0xaa8b85cd55171,0xaa8b85cd55171,2 +np.float64,0xffd67a5f40acf4be,0xbff0000000000000,2 +np.float64,0xbfb7496db22e92d8,0xbfb7390a48130861,2 +np.float64,0x3fd86a8e7ab0d51d,0x3fd74bfba0f72616,2 +np.float64,0xffb7f5b7fc2feb70,0xbff0000000000000,2 +np.float64,0xbfea0960a7f412c1,0xbfe57db6d0ff4191,2 +np.float64,0x375f4fc26ebeb,0x375f4fc26ebeb,2 +np.float64,0x800c537e70b8a6fd,0x800c537e70b8a6fd,2 +np.float64,0x800b3f4506d67e8a,0x800b3f4506d67e8a,2 +np.float64,0x7fe61f2d592c3e5a,0x3ff0000000000000,2 +np.float64,0xffefffffffffffff,0xbff0000000000000,2 +np.float64,0x8005d0bb84eba178,0x8005d0bb84eba178,2 +np.float64,0x800c78b0ec18f162,0x800c78b0ec18f162,2 +np.float64,0xbfc42cccfb285998,0xbfc4027392f66b0d,2 +np.float64,0x3fd8fdc73fb1fb8e,0x3fd7cb46f928153f,2 +np.float64,0x800c71754298e2eb,0x800c71754298e2eb,2 +np.float64,0x3fe4aa7a96a954f5,0x3fe233f5d3bc1352,2 +np.float64,0x7fd53841f6aa7083,0x3ff0000000000000,2 +np.float64,0x3fd0a887b8a15110,0x3fd04ac3b9c0d1ca,2 +np.float64,0x8007b8e164cf71c4,0x8007b8e164cf71c4,2 +np.float64,0xbfddc35c66bb86b8,0xbfdbc9c5dddfb014,2 +np.float64,0x6a3756fed46eb,0x6a3756fed46eb,2 +np.float64,0xffd3dcd05527b9a0,0xbff0000000000000,2 +np.float64,0xbfd7dc75632fb8ea,0xbfd6d0538b340a98,2 +np.float64,0x17501f822ea05,0x17501f822ea05,2 +np.float64,0xbfe1f98b99a3f317,0xbfe04bbf8f8b6cb3,2 +np.float64,0x66ea65d2cdd4d,0x66ea65d2cdd4d,2 +np.float64,0xbfd12241e2224484,0xbfd0bc62f46ea5e1,2 +np.float64,0x3fed6e6fb3fadcdf,0x3fe7398249097285,2 +np.float64,0x3fe0b5ebeba16bd8,0x3fdeae84b3000a47,2 +np.float64,0x66d1bce8cda38,0x66d1bce8cda38,2 +np.float64,0x3fdd728db3bae51b,0x3fdb880f28c52713,2 +np.float64,0xffb45dbe5228bb80,0xbff0000000000000,2 +np.float64,0x1ff8990c3ff14,0x1ff8990c3ff14,2 +np.float64,0x800a68e8f294d1d2,0x800a68e8f294d1d2,2 +np.float64,0xbfe4d08b84a9a117,0xbfe24da40bff6be7,2 +np.float64,0x3fe0177f0ee02efe,0x3fddb83c5971df51,2 +np.float64,0xffc56893692ad128,0xbff0000000000000,2 +np.float64,0x51b44f6aa368b,0x51b44f6aa368b,2 +np.float64,0x2258ff4e44b21,0x2258ff4e44b21,2 +np.float64,0x3fe913649e7226c9,0x3fe4f3f119530f53,2 +np.float64,0xffe3767df766ecfc,0xbff0000000000000,2 +np.float64,0xbfe62ae12fec55c2,0xbfe33108f1f22a94,2 +np.float64,0x7fb6a6308e2d4c60,0x3ff0000000000000,2 +np.float64,0xbfe00f2085e01e41,0xbfddab19b6fc77d1,2 +np.float64,0x3fb66447dc2cc890,0x3fb655b4f46844f0,2 +np.float64,0x3fd80238f6b00470,0x3fd6f143be1617d6,2 +np.float64,0xbfd05bfeb3a0b7fe,0xbfd0031ab3455e15,2 +np.float64,0xffc3a50351274a08,0xbff0000000000000,2 +np.float64,0xffd8f4241cb1e848,0xbff0000000000000,2 +np.float64,0xbfca72a88c34e550,0xbfca13ebe85f2aca,2 +np.float64,0x3fd47d683ba8fad0,0x3fd3d13f1176ed8c,2 +np.float64,0x3fb6418e642c831d,0x3fb6333ebe479ff2,2 +np.float64,0x800fde8e023fbd1c,0x800fde8e023fbd1c,2 +np.float64,0x8001fb01e323f605,0x8001fb01e323f605,2 +np.float64,0x3febb21ff9f76440,0x3fe65ed788d52fee,2 +np.float64,0x3fe47553ffe8eaa8,0x3fe20fe01f853603,2 +np.float64,0x7fca20b3f9344167,0x3ff0000000000000,2 +np.float64,0x3fe704f4ec6e09ea,0x3fe3ba7277201805,2 +np.float64,0xf864359df0c87,0xf864359df0c87,2 +np.float64,0x4d96b01c9b2d7,0x4d96b01c9b2d7,2 +np.float64,0x3fe8a09fe9f14140,0x3fe4b1c6a2d2e095,2 +np.float64,0xffc46c61b228d8c4,0xbff0000000000000,2 +np.float64,0x3fe680a837ed0150,0x3fe3679d6eeb6485,2 +np.float64,0xbfecedc20f39db84,0xbfe6fbe9ee978bf6,2 +np.float64,0x3fb2314eae24629d,0x3fb2297ba6d55d2d,2 +np.float64,0x3fe9f0b8e7b3e172,0x3fe57026eae36db3,2 +np.float64,0x80097a132ed2f427,0x80097a132ed2f427,2 +np.float64,0x800ae5a41955cb49,0x800ae5a41955cb49,2 +np.float64,0xbfd7527279aea4e4,0xbfd6577de356e1bd,2 +np.float64,0x3fe27d3e01e4fa7c,0x3fe0ac7dd96f9179,2 +np.float64,0x7fedd8cb01bbb195,0x3ff0000000000000,2 +np.float64,0x78f8695af1f0e,0x78f8695af1f0e,2 +np.float64,0x800d2d0e927a5a1d,0x800d2d0e927a5a1d,2 +np.float64,0xffe74b46fb2e968e,0xbff0000000000000,2 +np.float64,0xbfdd12d4c8ba25aa,0xbfdb39dae49e1c10,2 +np.float64,0xbfd6c14710ad828e,0xbfd5d79ef5a8d921,2 +np.float64,0x921f4e55243ea,0x921f4e55243ea,2 +np.float64,0x800b4e4c80969c99,0x800b4e4c80969c99,2 +np.float64,0x7fe08c6ab7e118d4,0x3ff0000000000000,2 +np.float64,0xbfed290014fa5200,0xbfe71871f7e859ed,2 +np.float64,0x8008c1d5c59183ac,0x8008c1d5c59183ac,2 +np.float64,0x3fd339e68c2673cd,0x3fd2aaff3f165a9d,2 +np.float64,0xbfdd20d8113a41b0,0xbfdb4553ea2cb2fb,2 +np.float64,0x3fe52a25deea544c,0x3fe2898d5bf4442c,2 +np.float64,0x498602d4930c1,0x498602d4930c1,2 +np.float64,0x3fd8c450113188a0,0x3fd799b0b2a6c43c,2 +np.float64,0xbfd72bc2f2ae5786,0xbfd6357e15ba7f70,2 +np.float64,0xbfd076188ea0ec32,0xbfd01b8fce44d1af,2 +np.float64,0x9aace1713559c,0x9aace1713559c,2 +np.float64,0x8008a730e8914e62,0x8008a730e8914e62,2 +np.float64,0x7fe9e9a3d833d347,0x3ff0000000000000,2 +np.float64,0x800d3a0d69da741b,0x800d3a0d69da741b,2 +np.float64,0xbfe3e28a29e7c514,0xbfe1aad7643a2d19,2 +np.float64,0x7fe9894c71331298,0x3ff0000000000000,2 +np.float64,0xbfe7c6acb5ef8d5a,0xbfe430c9e258ce62,2 +np.float64,0xffb5a520a62b4a40,0xbff0000000000000,2 +np.float64,0x7fc02109ae204212,0x3ff0000000000000,2 +np.float64,0xb5c58f196b8b2,0xb5c58f196b8b2,2 +np.float64,0x3feb4ee82e769dd0,0x3fe62bae9a39d8b1,2 +np.float64,0x3fec5c3cf278b87a,0x3fe6b49000f12441,2 +np.float64,0x81f64b8103eca,0x81f64b8103eca,2 +np.float64,0xbfeab00d73f5601b,0xbfe5d7f755ab73d9,2 +np.float64,0x3fd016bf28a02d7e,0x3fcf843ea23bcd3c,2 +np.float64,0xbfa1db617423b6c0,0xbfa1d9872ddeb5a8,2 +np.float64,0x3fe83c879d70790f,0x3fe4771502d8f012,2 +np.float64,0x6b267586d64cf,0x6b267586d64cf,2 +np.float64,0x3fc91b6d3f3236d8,0x3fc8ca3eb4da25a9,2 +np.float64,0x7fd4e3f8f3a9c7f1,0x3ff0000000000000,2 +np.float64,0x800a75899214eb14,0x800a75899214eb14,2 +np.float64,0x7fdb1f2e07b63e5b,0x3ff0000000000000,2 +np.float64,0xffe7805a11ef00b4,0xbff0000000000000,2 +np.float64,0x3fc8e1b88a31c371,0x3fc892af45330818,2 +np.float64,0xbfe809fe447013fc,0xbfe45918f07da4d9,2 +np.float64,0xbfeb9d7f2ab73afe,0xbfe65446bfddc792,2 +np.float64,0x3fb47f0a5c28fe15,0x3fb473db9113e880,2 +np.float64,0x800a17ae3cb42f5d,0x800a17ae3cb42f5d,2 +np.float64,0xf5540945eaa81,0xf5540945eaa81,2 +np.float64,0xbfe577fc26aaeff8,0xbfe2bcfbf2cf69ff,2 +np.float64,0xbfb99b3e06333680,0xbfb98577b88e0515,2 +np.float64,0x7fd9290391b25206,0x3ff0000000000000,2 +np.float64,0x7fe1aa62ffa354c5,0x3ff0000000000000,2 +np.float64,0x7b0189a0f604,0x7b0189a0f604,2 +np.float64,0x3f9000ed602001db,0x3f900097fe168105,2 +np.float64,0x3fd576128d2aec25,0x3fd4b1002c92286f,2 +np.float64,0xffecc98ece79931d,0xbff0000000000000,2 +np.float64,0x800a1736c7f42e6e,0x800a1736c7f42e6e,2 +np.float64,0xbfed947548bb28eb,0xbfe74b71479ae739,2 +np.float64,0xa45c032148b9,0xa45c032148b9,2 +np.float64,0xbfc13d011c227a04,0xbfc1228447de5e9f,2 +np.float64,0xffed8baa6ebb1754,0xbff0000000000000,2 +np.float64,0x800ea2de243d45bc,0x800ea2de243d45bc,2 +np.float64,0x8001396be52272d9,0x8001396be52272d9,2 +np.float64,0xd018d1cda031a,0xd018d1cda031a,2 +np.float64,0x7fe1fece1fe3fd9b,0x3ff0000000000000,2 +np.float64,0x8009ac484c135891,0x8009ac484c135891,2 +np.float64,0x3fc560ad132ac15a,0x3fc52e5a9479f08e,2 +np.float64,0x3fd6f80ebe2df01d,0x3fd607f70ce8e3f4,2 +np.float64,0xbfd3e69e82a7cd3e,0xbfd34887c2a40699,2 +np.float64,0x3fe232d9baa465b3,0x3fe0760a822ada0c,2 +np.float64,0x3fe769bbc6eed378,0x3fe3f872680f6631,2 +np.float64,0xffe63dbd952c7b7a,0xbff0000000000000,2 +np.float64,0x4e0c00da9c181,0x4e0c00da9c181,2 +np.float64,0xffeae4d89735c9b0,0xbff0000000000000,2 +np.float64,0x3fe030bcbb606179,0x3fdddfc66660bfce,2 +np.float64,0x7fe35ca40d66b947,0x3ff0000000000000,2 +np.float64,0xbfd45bd66628b7ac,0xbfd3b2e04bfe7866,2 +np.float64,0x3fd1f0be2323e17c,0x3fd17c1c340d7a48,2 +np.float64,0x3fd7123b6cae2478,0x3fd61f0675aa9ae1,2 +np.float64,0xbfe918a377723147,0xbfe4f6efe66f5714,2 +np.float64,0x7fc400356f28006a,0x3ff0000000000000,2 +np.float64,0x7fd2dead70a5bd5a,0x3ff0000000000000,2 +np.float64,0xffe9c28f81f3851e,0xbff0000000000000,2 +np.float64,0x3fd09b1ec7a1363e,0x3fd03e3894320140,2 +np.float64,0x7fe6e80c646dd018,0x3ff0000000000000,2 +np.float64,0x7fec3760a4786ec0,0x3ff0000000000000,2 +np.float64,0x309eb6ee613d8,0x309eb6ee613d8,2 +np.float64,0x800731cb0ece6397,0x800731cb0ece6397,2 +np.float64,0xbfdb0c553db618aa,0xbfd98b8a4680ee60,2 +np.float64,0x3fd603a52eac074c,0x3fd52f6b53de7455,2 +np.float64,0x9ecb821b3d971,0x9ecb821b3d971,2 +np.float64,0x3feb7d64dc36faca,0x3fe643c2754bb7f4,2 +np.float64,0xffeb94825ef72904,0xbff0000000000000,2 +np.float64,0x24267418484cf,0x24267418484cf,2 +np.float64,0xbfa6b2fbac2d65f0,0xbfa6af2dca5bfa6f,2 +np.float64,0x8010000000000000,0x8010000000000000,2 +np.float64,0xffe6873978ed0e72,0xbff0000000000000,2 +np.float64,0x800447934ba88f27,0x800447934ba88f27,2 +np.float64,0x3fef305f09fe60be,0x3fe806156b8ca47c,2 +np.float64,0xffd441c697a8838e,0xbff0000000000000,2 +np.float64,0xbfa7684f6c2ed0a0,0xbfa764238d34830c,2 +np.float64,0xffb2c976142592f0,0xbff0000000000000,2 +np.float64,0xbfcc9d1585393a2c,0xbfcc25756bcbca1f,2 +np.float64,0xbfd477bb1ba8ef76,0xbfd3cc1d2114e77e,2 +np.float64,0xbfed1559983a2ab3,0xbfe70f03afd994ee,2 +np.float64,0xbfeb51139036a227,0xbfe62ccf56bc7fff,2 +np.float64,0x7d802890fb006,0x7d802890fb006,2 +np.float64,0x800e00af777c015f,0x800e00af777c015f,2 +np.float64,0x800647ce128c8f9d,0x800647ce128c8f9d,2 +np.float64,0x800a26da91d44db6,0x800a26da91d44db6,2 +np.float64,0x3fdc727eddb8e4fe,0x3fdab5fd9db630b3,2 +np.float64,0x7fd06def2ba0dbdd,0x3ff0000000000000,2 +np.float64,0xffe23678c4a46cf1,0xbff0000000000000,2 +np.float64,0xbfe7198e42ee331c,0xbfe3c7326c9c7553,2 +np.float64,0xffae465f3c3c8cc0,0xbff0000000000000,2 +np.float64,0xff9aea7c5035d500,0xbff0000000000000,2 +np.float64,0xbfeae49c0f35c938,0xbfe5f3e9326cb08b,2 +np.float64,0x3f9a16f300342de6,0x3f9a1581212be50f,2 +np.float64,0x8d99e2c31b33d,0x8d99e2c31b33d,2 +np.float64,0xffd58af253ab15e4,0xbff0000000000000,2 +np.float64,0xbfd205cd25a40b9a,0xbfd18f97155f8b25,2 +np.float64,0xbfebe839bbf7d074,0xbfe67a6024e8fefe,2 +np.float64,0xbfe4fb3595a9f66b,0xbfe26a42f99819ea,2 +np.float64,0x800e867c739d0cf9,0x800e867c739d0cf9,2 +np.float64,0x8bc4274f17885,0x8bc4274f17885,2 +np.float64,0xaec8914b5d912,0xaec8914b5d912,2 +np.float64,0x7fd1d64473a3ac88,0x3ff0000000000000,2 +np.float64,0xbfe6d6f69cedaded,0xbfe39dd61bc7e23e,2 +np.float64,0x7fed05039d7a0a06,0x3ff0000000000000,2 +np.float64,0xbfc40eab0f281d58,0xbfc3e50d14b79265,2 +np.float64,0x45179aec8a2f4,0x45179aec8a2f4,2 +np.float64,0xbfe717e362ee2fc7,0xbfe3c62a95b07d13,2 +np.float64,0xbfe5b8df0d6b71be,0xbfe2e76c7ec5013d,2 +np.float64,0x5c67ba6eb8cf8,0x5c67ba6eb8cf8,2 +np.float64,0xbfda72ce4cb4e59c,0xbfd909fdc7ecfe20,2 +np.float64,0x7fdf59a1e2beb343,0x3ff0000000000000,2 +np.float64,0xc4f7897f89ef1,0xc4f7897f89ef1,2 +np.float64,0x8fcd0a351f9a2,0x8fcd0a351f9a2,2 +np.float64,0x3fb161761022c2ec,0x3fb15aa31c464de2,2 +np.float64,0x8008a985be71530c,0x8008a985be71530c,2 +np.float64,0x3fca4ddb5e349bb7,0x3fc9f0a3b60e49c6,2 +np.float64,0x7fcc10a2d9382145,0x3ff0000000000000,2 +np.float64,0x78902b3af1206,0x78902b3af1206,2 +np.float64,0x7fe1e2765f23c4ec,0x3ff0000000000000,2 +np.float64,0xc1d288cf83a51,0xc1d288cf83a51,2 +np.float64,0x7fe8af692bb15ed1,0x3ff0000000000000,2 +np.float64,0x80057d90fb8afb23,0x80057d90fb8afb23,2 +np.float64,0x3fdc136b8fb826d8,0x3fda6749582b2115,2 +np.float64,0x800ec8ea477d91d5,0x800ec8ea477d91d5,2 +np.float64,0x4c0f4796981ea,0x4c0f4796981ea,2 +np.float64,0xec34c4a5d8699,0xec34c4a5d8699,2 +np.float64,0x7fce343dfb3c687b,0x3ff0000000000000,2 +np.float64,0xbfc95a98a332b530,0xbfc90705b2cc2fec,2 +np.float64,0x800d118e1dba231c,0x800d118e1dba231c,2 +np.float64,0x3fd354f310a6a9e8,0x3fd2c3bb90054154,2 +np.float64,0xbfdac0d4fab581aa,0xbfd94bf37424928e,2 +np.float64,0x3fe7f5391fefea72,0x3fe44cb49d51985b,2 +np.float64,0xd4c3c329a9879,0xd4c3c329a9879,2 +np.float64,0x3fc53977692a72f0,0x3fc50835d85c9ed1,2 +np.float64,0xbfd6989538ad312a,0xbfd5b3a2c08511fe,2 +np.float64,0xbfe329f2906653e5,0xbfe128ec1525a1c0,2 +np.float64,0x7ff0000000000000,0x3ff0000000000000,2 +np.float64,0xbfea57c90974af92,0xbfe5a87b04aa3116,2 +np.float64,0x7fdfba94043f7527,0x3ff0000000000000,2 +np.float64,0x3feedabddafdb57c,0x3fe7e06c0661978d,2 +np.float64,0x4bd9f3b697b3f,0x4bd9f3b697b3f,2 +np.float64,0x3fdd15bbfc3a2b78,0x3fdb3c3b8d070f7e,2 +np.float64,0x3fbd89ccd23b13a0,0x3fbd686b825cff80,2 +np.float64,0x7ff4000000000000,0x7ffc000000000000,2 +np.float64,0x3f9baa8928375512,0x3f9ba8d01ddd5300,2 +np.float64,0x4a3ebdf2947d8,0x4a3ebdf2947d8,2 +np.float64,0x3fe698d5c06d31ac,0x3fe376dff48312c8,2 +np.float64,0xffd5323df12a647c,0xbff0000000000000,2 +np.float64,0xffea7f111174fe22,0xbff0000000000000,2 +np.float64,0x3feb4656a9b68cad,0x3fe627392eb2156f,2 +np.float64,0x7fc1260e9c224c1c,0x3ff0000000000000,2 +np.float64,0x80056e45e5eadc8d,0x80056e45e5eadc8d,2 +np.float64,0x7fd0958ef6a12b1d,0x3ff0000000000000,2 +np.float64,0x8001f85664e3f0ae,0x8001f85664e3f0ae,2 +np.float64,0x3fe553853beaa70a,0x3fe2a4f5e7c83558,2 +np.float64,0xbfeb33ce6276679d,0xbfe61d8ec9e5ff8c,2 +np.float64,0xbfd1b24e21a3649c,0xbfd14245df6065e9,2 +np.float64,0x3fe286fc40650df9,0x3fe0b395c8059429,2 +np.float64,0xffed378058fa6f00,0xbff0000000000000,2 +np.float64,0xbfd0c4a2d7a18946,0xbfd06509a434d6a0,2 +np.float64,0xbfea31d581f463ab,0xbfe593d976139f94,2 +np.float64,0xbfe0705c85e0e0b9,0xbfde42efa978eb0c,2 +np.float64,0xe4c4c339c9899,0xe4c4c339c9899,2 +np.float64,0x3fd68befa9ad17df,0x3fd5a870b3f1f83e,2 +np.float64,0x8000000000000001,0x8000000000000001,2 +np.float64,0x3fe294256965284b,0x3fe0bd271e22d86b,2 +np.float64,0x8005327a862a64f6,0x8005327a862a64f6,2 +np.float64,0xbfdb8155ce3702ac,0xbfd9ed9ef97920f8,2 +np.float64,0xbff0000000000000,0xbfe85efab514f394,2 +np.float64,0xffe66988f1ecd312,0xbff0000000000000,2 +np.float64,0x3fb178a85e22f150,0x3fb171b9fbf95f1d,2 +np.float64,0x7f829b900025371f,0x3ff0000000000000,2 +np.float64,0x8000000000000000,0x8000000000000000,2 +np.float64,0x8006cb77f60d96f1,0x8006cb77f60d96f1,2 +np.float64,0x3fe0c5d53aa18baa,0x3fdec7012ab92b42,2 +np.float64,0x77266426ee4cd,0x77266426ee4cd,2 +np.float64,0xbfec95f468392be9,0xbfe6d11428f60136,2 +np.float64,0x3fedbf532dfb7ea6,0x3fe75f8436dd1d58,2 +np.float64,0x8002fadd3f85f5bb,0x8002fadd3f85f5bb,2 +np.float64,0xbfefebaa8d3fd755,0xbfe8566c6aa90fba,2 +np.float64,0xffc7dd2b712fba58,0xbff0000000000000,2 +np.float64,0x7fe5d3a6e8aba74d,0x3ff0000000000000,2 +np.float64,0x2da061525b40d,0x2da061525b40d,2 +np.float64,0x7fcb9b9953373732,0x3ff0000000000000,2 +np.float64,0x2ca2f6fc59460,0x2ca2f6fc59460,2 +np.float64,0xffeb84b05af70960,0xbff0000000000000,2 +np.float64,0xffe551e86c6aa3d0,0xbff0000000000000,2 +np.float64,0xbfdb311311366226,0xbfd9aa6688faafb9,2 +np.float64,0xbfd4f3875629e70e,0xbfd43bcd73534c66,2 +np.float64,0x7fe95666f932accd,0x3ff0000000000000,2 +np.float64,0x3fc73dfb482e7bf7,0x3fc6fd70c20ebf60,2 +np.float64,0x800cd9e40939b3c8,0x800cd9e40939b3c8,2 +np.float64,0x3fb0c9fa422193f0,0x3fb0c3d38879a2ac,2 +np.float64,0xffd59a38372b3470,0xbff0000000000000,2 +np.float64,0x3fa8320ef4306420,0x3fa82d739e937d35,2 +np.float64,0x3fd517f16caa2fe4,0x3fd45c8de1e93b37,2 +np.float64,0xaed921655db24,0xaed921655db24,2 +np.float64,0x93478fb9268f2,0x93478fb9268f2,2 +np.float64,0x1615e28a2c2bd,0x1615e28a2c2bd,2 +np.float64,0xbfead23010f5a460,0xbfe5ea24d5d8f820,2 +np.float64,0x774a6070ee94d,0x774a6070ee94d,2 +np.float64,0x3fdf5874bd3eb0e9,0x3fdd0ef121dd915c,2 +np.float64,0x8004b25f53a964bf,0x8004b25f53a964bf,2 +np.float64,0xbfddacdd2ebb59ba,0xbfdbb78198fab36b,2 +np.float64,0x8008a3acf271475a,0x8008a3acf271475a,2 +np.float64,0xbfdb537c8736a6fa,0xbfd9c741038bb8f0,2 +np.float64,0xbfe56a133f6ad426,0xbfe2b3d5b8d259a1,2 +np.float64,0xffda1db531343b6a,0xbff0000000000000,2 +np.float64,0x3fcbe05f3a37c0be,0x3fcb71a54a64ddfb,2 +np.float64,0x7fe1ccaa7da39954,0x3ff0000000000000,2 +np.float64,0x3faeadd8343d5bb0,0x3faea475608860e6,2 +np.float64,0x3fe662ba1c2cc574,0x3fe354a6176e90df,2 +np.float64,0xffe4d49f4e69a93e,0xbff0000000000000,2 +np.float64,0xbfeadbc424f5b788,0xbfe5ef39dbe66343,2 +np.float64,0x99cf66f1339ed,0x99cf66f1339ed,2 +np.float64,0x33af77a2675f0,0x33af77a2675f0,2 +np.float64,0x7fec7b32ecf8f665,0x3ff0000000000000,2 +np.float64,0xffef3e44993e7c88,0xbff0000000000000,2 +np.float64,0xffe8f8ceac31f19c,0xbff0000000000000,2 +np.float64,0x7fe0d15b6da1a2b6,0x3ff0000000000000,2 +np.float64,0x4ba795c2974f3,0x4ba795c2974f3,2 +np.float64,0x3fe361aa37a6c354,0x3fe15079021d6b15,2 +np.float64,0xffe709714f6e12e2,0xbff0000000000000,2 +np.float64,0xffe7ea6a872fd4d4,0xbff0000000000000,2 +np.float64,0xffdb9441c8b72884,0xbff0000000000000,2 +np.float64,0xffd5e11ae9abc236,0xbff0000000000000,2 +np.float64,0xffe092a08b612540,0xbff0000000000000,2 +np.float64,0x3fe1f27e1ca3e4fc,0x3fe04685b5131207,2 +np.float64,0xbfe71ce1bdee39c4,0xbfe3c940809a7081,2 +np.float64,0xffe8c3aa68318754,0xbff0000000000000,2 +np.float64,0x800d4e2919da9c52,0x800d4e2919da9c52,2 +np.float64,0x7fe6c8bca76d9178,0x3ff0000000000000,2 +np.float64,0x7fced8751e3db0e9,0x3ff0000000000000,2 +np.float64,0xd61d0c8bac3a2,0xd61d0c8bac3a2,2 +np.float64,0x3fec57732938aee6,0x3fe6b22f15f38352,2 +np.float64,0xff9251cc7024a3a0,0xbff0000000000000,2 +np.float64,0xf4a68cb9e94d2,0xf4a68cb9e94d2,2 +np.float64,0x3feed76703bdaece,0x3fe7def0fc9a080c,2 +np.float64,0xbfe8971ff7712e40,0xbfe4ac3eb8ebff07,2 +np.float64,0x3fe4825f682904bf,0x3fe218c1952fe67d,2 +np.float64,0xbfd60f7698ac1eee,0xbfd539f0979b4b0c,2 +np.float64,0x3fcf0845993e1088,0x3fce7032f7180144,2 +np.float64,0x7fc83443f3306887,0x3ff0000000000000,2 +np.float64,0x3fe93123ae726247,0x3fe504e4fc437e89,2 +np.float64,0x3fbf9eb8363f3d70,0x3fbf75cdfa6828d5,2 +np.float64,0xbf8b45e5d0368bc0,0xbf8b457c29dfe1a9,2 +np.float64,0x8006c2853d0d850b,0x8006c2853d0d850b,2 +np.float64,0xffef26e25ffe4dc4,0xbff0000000000000,2 +np.float64,0x7fefffffffffffff,0x3ff0000000000000,2 +np.float64,0xbfde98f2c2bd31e6,0xbfdc761bfab1c4cb,2 +np.float64,0xffb725e6222e4bd0,0xbff0000000000000,2 +np.float64,0x800c63ead5d8c7d6,0x800c63ead5d8c7d6,2 +np.float64,0x3fea087e95f410fd,0x3fe57d3ab440706c,2 +np.float64,0xbfdf9f8a603f3f14,0xbfdd4742d77dfa57,2 +np.float64,0xfff0000000000000,0xbff0000000000000,2 +np.float64,0xbfcdc0841d3b8108,0xbfcd3a401debba9a,2 +np.float64,0x800f0c8f4f7e191f,0x800f0c8f4f7e191f,2 +np.float64,0x800ba6e75fd74dcf,0x800ba6e75fd74dcf,2 +np.float64,0x7fee4927e8bc924f,0x3ff0000000000000,2 +np.float64,0x3fadf141903be283,0x3fade8878d9d3551,2 +np.float64,0x3efb1a267df64,0x3efb1a267df64,2 +np.float64,0xffebf55f22b7eabe,0xbff0000000000000,2 +np.float64,0x7fbe8045663d008a,0x3ff0000000000000,2 +np.float64,0x3fefc0129f7f8026,0x3fe843f8b7d6cf38,2 +np.float64,0xbfe846b420f08d68,0xbfe47d1709e43937,2 +np.float64,0x7fe8e87043f1d0e0,0x3ff0000000000000,2 +np.float64,0x3fcfb718453f6e31,0x3fcf14ecee7b32b4,2 +np.float64,0x7fe4306b71a860d6,0x3ff0000000000000,2 +np.float64,0x7fee08459f7c108a,0x3ff0000000000000,2 +np.float64,0x3fed705165fae0a3,0x3fe73a66369c5700,2 +np.float64,0x7fd0e63f4da1cc7e,0x3ff0000000000000,2 +np.float64,0xffd1a40c2ea34818,0xbff0000000000000,2 +np.float64,0xbfa369795c26d2f0,0xbfa36718218d46b3,2 +np.float64,0xef70b9f5dee17,0xef70b9f5dee17,2 +np.float64,0x3fb50a0a6e2a1410,0x3fb4fdf27724560a,2 +np.float64,0x7fe30a0f6166141e,0x3ff0000000000000,2 +np.float64,0xbfd7b3ca7daf6794,0xbfd6accb81032b2d,2 +np.float64,0x3fc21dceb3243b9d,0x3fc1ff15d5d277a3,2 +np.float64,0x3fe483e445a907c9,0x3fe219ca0e269552,2 +np.float64,0x3fb2b1e2a22563c0,0x3fb2a96554900eaf,2 +np.float64,0x4b1ff6409641,0x4b1ff6409641,2 +np.float64,0xbfd92eabc9b25d58,0xbfd7f55d7776d64e,2 +np.float64,0x8003b8604c8770c1,0x8003b8604c8770c1,2 +np.float64,0x800d20a9df1a4154,0x800d20a9df1a4154,2 +np.float64,0xecf8a535d9f15,0xecf8a535d9f15,2 +np.float64,0x3fe92d15bab25a2b,0x3fe50296aa15ae85,2 +np.float64,0x800239c205a47385,0x800239c205a47385,2 +np.float64,0x3fc48664a9290cc8,0x3fc459d126320ef6,2 +np.float64,0x3fe7620625eec40c,0x3fe3f3bcbee3e8c6,2 +np.float64,0x3fd242ff4ca48600,0x3fd1c81ed7a971c8,2 +np.float64,0xbfe39bafcfa73760,0xbfe17959c7a279db,2 +np.float64,0x7fdcd2567239a4ac,0x3ff0000000000000,2 +np.float64,0x3fe5f2f292ebe5e6,0x3fe30d12f05e2752,2 +np.float64,0x7fda3819d1347033,0x3ff0000000000000,2 +np.float64,0xffca5b4d4334b69c,0xbff0000000000000,2 +np.float64,0xb8a2b7cd71457,0xb8a2b7cd71457,2 +np.float64,0x3fee689603fcd12c,0x3fe7ad4ace26d6dd,2 +np.float64,0x7fe26541a564ca82,0x3ff0000000000000,2 +np.float64,0x3fe6912ee66d225e,0x3fe3720d242c4d82,2 +np.float64,0xffe6580c75ecb018,0xbff0000000000000,2 +np.float64,0x7fe01a3370603466,0x3ff0000000000000,2 +np.float64,0xffe84e3f84b09c7e,0xbff0000000000000,2 +np.float64,0x3ff0000000000000,0x3fe85efab514f394,2 +np.float64,0x3fe214d4266429a8,0x3fe05fec03a3c247,2 +np.float64,0x3fd00aec5da015d8,0x3fcf6e070ad4ad62,2 +np.float64,0x800aac8631f5590d,0x800aac8631f5590d,2 +np.float64,0xbfe7c4f5f76f89ec,0xbfe42fc1c57b4a13,2 +np.float64,0xaf146c7d5e28e,0xaf146c7d5e28e,2 +np.float64,0xbfe57188b66ae312,0xbfe2b8be4615ef75,2 +np.float64,0xffef8cb8e1ff1971,0xbff0000000000000,2 +np.float64,0x8001daf8aa63b5f2,0x8001daf8aa63b5f2,2 +np.float64,0x3fdddcc339bbb986,0x3fdbde5f3783538b,2 +np.float64,0xdd8c92c3bb193,0xdd8c92c3bb193,2 +np.float64,0xbfe861a148f0c342,0xbfe48cf1d228a336,2 +np.float64,0xffe260a32e24c146,0xbff0000000000000,2 +np.float64,0x1f7474b43ee8f,0x1f7474b43ee8f,2 +np.float64,0x3fe81dbd89703b7c,0x3fe464d78df92b7b,2 +np.float64,0x7fed0101177a0201,0x3ff0000000000000,2 +np.float64,0x7fd8b419a8316832,0x3ff0000000000000,2 +np.float64,0x3fe93debccf27bd8,0x3fe50c27727917f0,2 +np.float64,0xe5ead05bcbd5a,0xe5ead05bcbd5a,2 +np.float64,0xbfebbbc4cff7778a,0xbfe663c4ca003bbf,2 +np.float64,0xbfea343eb474687e,0xbfe59529f73ea151,2 +np.float64,0x3fbe74a5963ce94b,0x3fbe50123ed05d8d,2 +np.float64,0x3fd31d3a5d263a75,0x3fd290c026cb38a5,2 +np.float64,0xbfd79908acaf3212,0xbfd695620e31c3c6,2 +np.float64,0xbfc26a350324d46c,0xbfc249f335f3e465,2 +np.float64,0xbfac38d5583871b0,0xbfac31866d12a45e,2 +np.float64,0x3fe40cea672819d5,0x3fe1c83754e72c92,2 +np.float64,0xbfa74770642e8ee0,0xbfa74355fcf67332,2 +np.float64,0x7fc60942d32c1285,0x3ff0000000000000,2 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/checks.pyx b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/checks.pyx new file mode 100644 index 0000000000000000000000000000000000000000..028dc6a6c9e45dfa83b3afacf53f6b922ad7049b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/checks.pyx @@ -0,0 +1,283 @@ +#cython: language_level=3 + +""" +Functions in this module give python-space wrappers for cython functions +exposed in numpy/__init__.pxd, so they can be tested in test_cython.py +""" +cimport numpy as cnp +cnp.import_array() + + +def is_td64(obj): + return cnp.is_timedelta64_object(obj) + + +def is_dt64(obj): + return cnp.is_datetime64_object(obj) + + +def get_dt64_value(obj): + return cnp.get_datetime64_value(obj) + + +def get_td64_value(obj): + return cnp.get_timedelta64_value(obj) + + +def get_dt64_unit(obj): + return cnp.get_datetime64_unit(obj) + + +def is_integer(obj): + return isinstance(obj, (cnp.integer, int)) + + +def get_datetime_iso_8601_strlen(): + return cnp.get_datetime_iso_8601_strlen(0, cnp.NPY_FR_ns) + + +def convert_datetime64_to_datetimestruct(): + cdef: + cnp.npy_datetimestruct dts + cnp.PyArray_DatetimeMetaData meta + cnp.int64_t value = 1647374515260292 + # i.e. (time.time() * 10**6) at 2022-03-15 20:01:55.260292 UTC + + meta.base = cnp.NPY_FR_us + meta.num = 1 + cnp.convert_datetime64_to_datetimestruct(&meta, value, &dts) + return dts + + +def make_iso_8601_datetime(dt: "datetime"): + cdef: + cnp.npy_datetimestruct dts + char result[36] # 36 corresponds to NPY_FR_s passed below + int local = 0 + int utc = 0 + int tzoffset = 0 + + dts.year = dt.year + dts.month = dt.month + dts.day = dt.day + dts.hour = dt.hour + dts.min = dt.minute + dts.sec = dt.second + dts.us = dt.microsecond + dts.ps = dts.as = 0 + + cnp.make_iso_8601_datetime( + &dts, + result, + sizeof(result), + local, + utc, + cnp.NPY_FR_s, + tzoffset, + cnp.NPY_NO_CASTING, + ) + return result + + +cdef cnp.broadcast multiiter_from_broadcast_obj(object bcast): + cdef dict iter_map = { + 1: cnp.PyArray_MultiIterNew1, + 2: cnp.PyArray_MultiIterNew2, + 3: cnp.PyArray_MultiIterNew3, + 4: cnp.PyArray_MultiIterNew4, + 5: cnp.PyArray_MultiIterNew5, + } + arrays = [x.base for x in bcast.iters] + cdef cnp.broadcast result = iter_map[len(arrays)](*arrays) + return result + + +def get_multiiter_size(bcast: "broadcast"): + cdef cnp.broadcast multi = multiiter_from_broadcast_obj(bcast) + return multi.size + + +def get_multiiter_number_of_dims(bcast: "broadcast"): + cdef cnp.broadcast multi = multiiter_from_broadcast_obj(bcast) + return multi.nd + + +def get_multiiter_current_index(bcast: "broadcast"): + cdef cnp.broadcast multi = multiiter_from_broadcast_obj(bcast) + return multi.index + + +def get_multiiter_num_of_iterators(bcast: "broadcast"): + cdef cnp.broadcast multi = multiiter_from_broadcast_obj(bcast) + return multi.numiter + + +def get_multiiter_shape(bcast: "broadcast"): + cdef cnp.broadcast multi = multiiter_from_broadcast_obj(bcast) + return tuple([multi.dimensions[i] for i in range(bcast.nd)]) + + +def get_multiiter_iters(bcast: "broadcast"): + cdef cnp.broadcast multi = multiiter_from_broadcast_obj(bcast) + return tuple([multi.iters[i] for i in range(bcast.numiter)]) + + +def get_default_integer(): + if cnp.NPY_DEFAULT_INT == cnp.NPY_LONG: + return cnp.dtype("long") + if cnp.NPY_DEFAULT_INT == cnp.NPY_INTP: + return cnp.dtype("intp") + return None + +def get_ravel_axis(): + return cnp.NPY_RAVEL_AXIS + + +def conv_intp(cnp.intp_t val): + return val + + +def get_dtype_flags(cnp.dtype dtype): + return dtype.flags + + +cdef cnp.NpyIter* npyiter_from_nditer_obj(object it): + """A function to create a NpyIter struct from a nditer object. + + This function is only meant for testing purposes and only extracts the + necessary info from nditer to test the functionality of NpyIter methods + """ + cdef: + cnp.NpyIter* cit + cnp.PyArray_Descr* op_dtypes[3] + cnp.npy_uint32 op_flags[3] + cnp.PyArrayObject* ops[3] + cnp.npy_uint32 flags = 0 + + if it.has_index: + flags |= cnp.NPY_ITER_C_INDEX + if it.has_delayed_bufalloc: + flags |= cnp.NPY_ITER_BUFFERED | cnp.NPY_ITER_DELAY_BUFALLOC + if it.has_multi_index: + flags |= cnp.NPY_ITER_MULTI_INDEX + + # one of READWRITE, READONLY and WRTIEONLY at the minimum must be specified for op_flags + for i in range(it.nop): + op_flags[i] = cnp.NPY_ITER_READONLY + + for i in range(it.nop): + op_dtypes[i] = cnp.PyArray_DESCR(it.operands[i]) + ops[i] = it.operands[i] + + cit = cnp.NpyIter_MultiNew(it.nop, &ops[0], flags, cnp.NPY_KEEPORDER, + cnp.NPY_NO_CASTING, &op_flags[0], + NULL) + return cit + + +def get_npyiter_size(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + result = cnp.NpyIter_GetIterSize(cit) + cnp.NpyIter_Deallocate(cit) + return result + + +def get_npyiter_ndim(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + result = cnp.NpyIter_GetNDim(cit) + cnp.NpyIter_Deallocate(cit) + return result + + +def get_npyiter_nop(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + result = cnp.NpyIter_GetNOp(cit) + cnp.NpyIter_Deallocate(cit) + return result + + +def get_npyiter_operands(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + try: + arr = cnp.NpyIter_GetOperandArray(cit) + return tuple([arr[i] for i in range(it.nop)]) + finally: + cnp.NpyIter_Deallocate(cit) + + +def get_npyiter_itviews(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + result = tuple([cnp.NpyIter_GetIterView(cit, i) for i in range(it.nop)]) + cnp.NpyIter_Deallocate(cit) + return result + + +def get_npyiter_dtypes(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + try: + arr = cnp.NpyIter_GetDescrArray(cit) + return tuple([arr[i] for i in range(it.nop)]) + finally: + cnp.NpyIter_Deallocate(cit) + + +def npyiter_has_delayed_bufalloc(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + result = cnp.NpyIter_HasDelayedBufAlloc(cit) + cnp.NpyIter_Deallocate(cit) + return result + + +def npyiter_has_index(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + result = cnp.NpyIter_HasIndex(cit) + cnp.NpyIter_Deallocate(cit) + return result + + +def npyiter_has_multi_index(it: "nditer"): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + result = cnp.NpyIter_HasMultiIndex(cit) + cnp.NpyIter_Deallocate(cit) + return result + + +def test_get_multi_index_iter_next(it: "nditer", cnp.ndarray[cnp.float64_t, ndim=2] arr): + cdef cnp.NpyIter* cit = npyiter_from_nditer_obj(it) + cdef cnp.NpyIter_GetMultiIndexFunc get_multi_index = \ + cnp.NpyIter_GetGetMultiIndex(cit, NULL) + cdef cnp.NpyIter_IterNextFunc iternext = \ + cnp.NpyIter_GetIterNext(cit, NULL) + return 1 + + +def npyiter_has_finished(it: "nditer"): + cdef cnp.NpyIter* cit + try: + cit = npyiter_from_nditer_obj(it) + cnp.NpyIter_GotoIterIndex(cit, it.index) + return not (cnp.NpyIter_GetIterIndex(cit) < cnp.NpyIter_GetIterSize(cit)) + finally: + cnp.NpyIter_Deallocate(cit) + +def compile_fillwithbyte(): + # Regression test for gh-25878, mostly checks it compiles. + cdef cnp.npy_intp dims[2] + dims = (1, 2) + pos = cnp.PyArray_ZEROS(2, dims, cnp.NPY_UINT8, 0) + cnp.PyArray_FILLWBYTE(pos, 1) + return pos + +def inc2_cfloat_struct(cnp.ndarray[cnp.cfloat_t] arr): + # This works since we compile in C mode, it will fail in cpp mode + arr[1].real += 1 + arr[1].imag += 1 + # This works in both modes + arr[1].real = arr[1].real + 1 + arr[1].imag = arr[1].imag + 1 + + +def check_npy_uintp_type_enum(): + # Regression test for gh-27890: cnp.NPY_UINTP was not defined. + # Cython would fail to compile this before gh-27890 was fixed. + return cnp.NPY_UINTP > 0 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/meson.build b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/meson.build new file mode 100644 index 0000000000000000000000000000000000000000..8362c339ae7372ece36b97d57e2e03509f4e4c0b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/meson.build @@ -0,0 +1,43 @@ +project('checks', 'c', 'cython') + +py = import('python').find_installation(pure: false) + +cc = meson.get_compiler('c') +cy = meson.get_compiler('cython') + +# Keep synced with pyproject.toml +if not cy.version().version_compare('>=3.0.6') + error('tests requires Cython >= 3.0.6') +endif + +cython_args = [] +if cy.version().version_compare('>=3.1.0') + cython_args += ['-Xfreethreading_compatible=True'] +endif + +npy_include_path = run_command(py, [ + '-c', + 'import os; os.chdir(".."); import numpy; print(os.path.abspath(numpy.get_include()))' + ], check: true).stdout().strip() + +npy_path = run_command(py, [ + '-c', + 'import os; os.chdir(".."); import numpy; print(os.path.dirname(numpy.__file__).removesuffix("numpy"))' + ], check: true).stdout().strip() + +# TODO: This is a hack due to gh-25135, where cython may not find the right +# __init__.pyd file. +add_project_arguments('-I', npy_path, language : 'cython') + +py.extension_module( + 'checks', + 'checks.pyx', + install: false, + c_args: [ + '-DNPY_NO_DEPRECATED_API=0', # Cython still uses old NumPy C API + # Require 1.25+ to test datetime additions + '-DNPY_TARGET_VERSION=NPY_2_0_API_VERSION', + ], + include_directories: [npy_include_path], + cython_args: cython_args, +) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/setup.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..1bf027700748ffd7d7521dbc781a64541d20e94f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/cython/setup.py @@ -0,0 +1,37 @@ +""" +Provide python-space access to the functions exposed in numpy/__init__.pxd +for testing. +""" + +import Cython +import numpy as np +from numpy._utils import _pep440 +from distutils.core import setup +from Cython.Build import cythonize +from setuptools.extension import Extension +import os + +macros = [ + ("NPY_NO_DEPRECATED_API", 0), + # Require 1.25+ to test datetime additions + ("NPY_TARGET_VERSION", "NPY_2_0_API_VERSION"), +] + +checks = Extension( + "checks", + sources=[os.path.join('.', "checks.pyx")], + include_dirs=[np.get_include()], + define_macros=macros, +) + +extensions = [checks] + +compiler_directives = {} +if _pep440.parse(Cython.__version__) >= _pep440.parse("3.1.0a0"): + compiler_directives['freethreading_compatible'] = True + +setup( + ext_modules=cythonize( + extensions, + compiler_directives=compiler_directives) +) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api1.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api1.c new file mode 100644 index 0000000000000000000000000000000000000000..3dbf5698f1d4cfaf7ee859cce266e401f0d83ddd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api1.c @@ -0,0 +1,17 @@ +#define Py_LIMITED_API 0x03060000 + +#include +#include +#include + +static PyModuleDef moduledef = { + .m_base = PyModuleDef_HEAD_INIT, + .m_name = "limited_api1" +}; + +PyMODINIT_FUNC PyInit_limited_api1(void) +{ + import_array(); + import_umath(); + return PyModule_Create(&moduledef); +} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api2.pyx b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api2.pyx new file mode 100644 index 0000000000000000000000000000000000000000..327d5b038c6c8b7b00ab5272ec75fde74572ce0e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api2.pyx @@ -0,0 +1,11 @@ +#cython: language_level=3 + +""" +Make sure cython can compile in limited API mode (see meson.build) +""" + +cdef extern from "numpy/arrayobject.h": + pass +cdef extern from "numpy/arrayscalars.h": + pass + diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api_latest.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api_latest.c new file mode 100644 index 0000000000000000000000000000000000000000..13668f2f0ebf78fbac1cbf98c9b474325f864e4d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/limited_api_latest.c @@ -0,0 +1,19 @@ +#if Py_LIMITED_API != PY_VERSION_HEX & 0xffff0000 + # error "Py_LIMITED_API not defined to Python major+minor version" +#endif + +#include +#include +#include + +static PyModuleDef moduledef = { + .m_base = PyModuleDef_HEAD_INIT, + .m_name = "limited_api_latest" +}; + +PyMODINIT_FUNC PyInit_limited_api_latest(void) +{ + import_array(); + import_umath(); + return PyModule_Create(&moduledef); +} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/meson.build b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/meson.build new file mode 100644 index 0000000000000000000000000000000000000000..65287d8654f50f93c8e2695b91d36f27c1bfe204 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/meson.build @@ -0,0 +1,59 @@ +project('checks', 'c', 'cython') + +py = import('python').find_installation(pure: false) + +cc = meson.get_compiler('c') +cy = meson.get_compiler('cython') + +# Keep synced with pyproject.toml +if not cy.version().version_compare('>=3.0.6') + error('tests requires Cython >= 3.0.6') +endif + +npy_include_path = run_command(py, [ + '-c', + 'import os; os.chdir(".."); import numpy; print(os.path.abspath(numpy.get_include()))' + ], check: true).stdout().strip() + +npy_path = run_command(py, [ + '-c', + 'import os; os.chdir(".."); import numpy; print(os.path.dirname(numpy.__file__).removesuffix("numpy"))' + ], check: true).stdout().strip() + +# TODO: This is a hack due to https://github.com/cython/cython/issues/5820, +# where cython may not find the right __init__.pyd file. +add_project_arguments('-I', npy_path, language : 'cython') + +py.extension_module( + 'limited_api1', + 'limited_api1.c', + c_args: [ + '-DNPY_NO_DEPRECATED_API=NPY_1_21_API_VERSION', + ], + include_directories: [npy_include_path], + limited_api: '3.6', +) + +py.extension_module( + 'limited_api_latest', + 'limited_api_latest.c', + c_args: [ + '-DNPY_NO_DEPRECATED_API=NPY_1_21_API_VERSION', + ], + include_directories: [npy_include_path], + limited_api: py.language_version(), +) + +py.extension_module( + 'limited_api2', + 'limited_api2.pyx', + install: false, + c_args: [ + '-DNPY_NO_DEPRECATED_API=0', + # Require 1.25+ to test datetime additions + '-DNPY_TARGET_VERSION=NPY_2_0_API_VERSION', + '-DCYTHON_LIMITED_API=1', + ], + include_directories: [npy_include_path], + limited_api: '3.7', +) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/setup.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..18747dc80896c087f37a878674e7c3c34bbd1e3f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/examples/limited_api/setup.py @@ -0,0 +1,22 @@ +""" +Build an example package using the limited Python C API. +""" + +import numpy as np +from setuptools import setup, Extension +import os + +macros = [("NPY_NO_DEPRECATED_API", 0), ("Py_LIMITED_API", "0x03060000")] + +limited_api = Extension( + "limited_api", + sources=[os.path.join('.', "limited_api.c")], + include_dirs=[np.get_include()], + define_macros=macros, +) + +extensions = [limited_api] + +setup( + ext_modules=extensions +) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test__exceptions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test__exceptions.py new file mode 100644 index 0000000000000000000000000000000000000000..fe792c8e37da46310b26322f19f9d45caf7b1765 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test__exceptions.py @@ -0,0 +1,89 @@ +""" +Tests of the ._exceptions module. Primarily for exercising the __str__ methods. +""" + +import pickle + +import pytest +import numpy as np +from numpy.exceptions import AxisError + +_ArrayMemoryError = np._core._exceptions._ArrayMemoryError +_UFuncNoLoopError = np._core._exceptions._UFuncNoLoopError + +class TestArrayMemoryError: + def test_pickling(self): + """ Test that _ArrayMemoryError can be pickled """ + error = _ArrayMemoryError((1023,), np.dtype(np.uint8)) + res = pickle.loads(pickle.dumps(error)) + assert res._total_size == error._total_size + + def test_str(self): + e = _ArrayMemoryError((1023,), np.dtype(np.uint8)) + str(e) # not crashing is enough + + # testing these properties is easier than testing the full string repr + def test__size_to_string(self): + """ Test e._size_to_string """ + f = _ArrayMemoryError._size_to_string + Ki = 1024 + assert f(0) == '0 bytes' + assert f(1) == '1 bytes' + assert f(1023) == '1023 bytes' + assert f(Ki) == '1.00 KiB' + assert f(Ki+1) == '1.00 KiB' + assert f(10*Ki) == '10.0 KiB' + assert f(int(999.4*Ki)) == '999. KiB' + assert f(int(1023.4*Ki)) == '1023. KiB' + assert f(int(1023.5*Ki)) == '1.00 MiB' + assert f(Ki*Ki) == '1.00 MiB' + + # 1023.9999 Mib should round to 1 GiB + assert f(int(Ki*Ki*Ki*0.9999)) == '1.00 GiB' + assert f(Ki*Ki*Ki*Ki*Ki*Ki) == '1.00 EiB' + # larger than sys.maxsize, adding larger prefixes isn't going to help + # anyway. + assert f(Ki*Ki*Ki*Ki*Ki*Ki*123456) == '123456. EiB' + + def test__total_size(self): + """ Test e._total_size """ + e = _ArrayMemoryError((1,), np.dtype(np.uint8)) + assert e._total_size == 1 + + e = _ArrayMemoryError((2, 4), np.dtype((np.uint64, 16))) + assert e._total_size == 1024 + + +class TestUFuncNoLoopError: + def test_pickling(self): + """ Test that _UFuncNoLoopError can be pickled """ + assert isinstance(pickle.dumps(_UFuncNoLoopError), bytes) + + +@pytest.mark.parametrize("args", [ + (2, 1, None), + (2, 1, "test_prefix"), + ("test message",), +]) +class TestAxisError: + def test_attr(self, args): + """Validate attribute types.""" + exc = AxisError(*args) + if len(args) == 1: + assert exc.axis is None + assert exc.ndim is None + else: + axis, ndim, *_ = args + assert exc.axis == axis + assert exc.ndim == ndim + + def test_pickling(self, args): + """Test that `AxisError` can be pickled.""" + exc = AxisError(*args) + exc2 = pickle.loads(pickle.dumps(exc)) + + assert type(exc) is type(exc2) + for name in ("axis", "ndim", "args"): + attr1 = getattr(exc, name) + attr2 = getattr(exc2, name) + assert attr1 == attr2, name diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_abc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_abc.py new file mode 100644 index 0000000000000000000000000000000000000000..f7ab6b6358812a42992967c11f61cefa6418cee7 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_abc.py @@ -0,0 +1,54 @@ +from numpy.testing import assert_ + +import numbers + +import numpy as np +from numpy._core.numerictypes import sctypes + +class TestABC: + def test_abstract(self): + assert_(issubclass(np.number, numbers.Number)) + + assert_(issubclass(np.inexact, numbers.Complex)) + assert_(issubclass(np.complexfloating, numbers.Complex)) + assert_(issubclass(np.floating, numbers.Real)) + + assert_(issubclass(np.integer, numbers.Integral)) + assert_(issubclass(np.signedinteger, numbers.Integral)) + assert_(issubclass(np.unsignedinteger, numbers.Integral)) + + def test_floats(self): + for t in sctypes['float']: + assert_(isinstance(t(), numbers.Real), + f"{t.__name__} is not instance of Real") + assert_(issubclass(t, numbers.Real), + f"{t.__name__} is not subclass of Real") + assert_(not isinstance(t(), numbers.Rational), + f"{t.__name__} is instance of Rational") + assert_(not issubclass(t, numbers.Rational), + f"{t.__name__} is subclass of Rational") + + def test_complex(self): + for t in sctypes['complex']: + assert_(isinstance(t(), numbers.Complex), + f"{t.__name__} is not instance of Complex") + assert_(issubclass(t, numbers.Complex), + f"{t.__name__} is not subclass of Complex") + assert_(not isinstance(t(), numbers.Real), + f"{t.__name__} is instance of Real") + assert_(not issubclass(t, numbers.Real), + f"{t.__name__} is subclass of Real") + + def test_int(self): + for t in sctypes['int']: + assert_(isinstance(t(), numbers.Integral), + f"{t.__name__} is not instance of Integral") + assert_(issubclass(t, numbers.Integral), + f"{t.__name__} is not subclass of Integral") + + def test_uint(self): + for t in sctypes['uint']: + assert_(isinstance(t(), numbers.Integral), + f"{t.__name__} is not instance of Integral") + assert_(issubclass(t, numbers.Integral), + f"{t.__name__} is not subclass of Integral") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_api.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_api.py new file mode 100644 index 0000000000000000000000000000000000000000..0a3edcce2bc4a01ee7f69e4db7dc44b5a0f38aa4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_api.py @@ -0,0 +1,616 @@ +import sys + +import numpy as np +import numpy._core.umath as ncu +from numpy._core._rational_tests import rational +import pytest +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_raises, assert_warns, + HAS_REFCOUNT + ) + + +def test_array_array(): + tobj = type(object) + ones11 = np.ones((1, 1), np.float64) + tndarray = type(ones11) + # Test is_ndarray + assert_equal(np.array(ones11, dtype=np.float64), ones11) + if HAS_REFCOUNT: + old_refcount = sys.getrefcount(tndarray) + np.array(ones11) + assert_equal(old_refcount, sys.getrefcount(tndarray)) + + # test None + assert_equal(np.array(None, dtype=np.float64), + np.array(np.nan, dtype=np.float64)) + if HAS_REFCOUNT: + old_refcount = sys.getrefcount(tobj) + np.array(None, dtype=np.float64) + assert_equal(old_refcount, sys.getrefcount(tobj)) + + # test scalar + assert_equal(np.array(1.0, dtype=np.float64), + np.ones((), dtype=np.float64)) + if HAS_REFCOUNT: + old_refcount = sys.getrefcount(np.float64) + np.array(np.array(1.0, dtype=np.float64), dtype=np.float64) + assert_equal(old_refcount, sys.getrefcount(np.float64)) + + # test string + S2 = np.dtype((bytes, 2)) + S3 = np.dtype((bytes, 3)) + S5 = np.dtype((bytes, 5)) + assert_equal(np.array(b"1.0", dtype=np.float64), + np.ones((), dtype=np.float64)) + assert_equal(np.array(b"1.0").dtype, S3) + assert_equal(np.array(b"1.0", dtype=bytes).dtype, S3) + assert_equal(np.array(b"1.0", dtype=S2), np.array(b"1.")) + assert_equal(np.array(b"1", dtype=S5), np.ones((), dtype=S5)) + + # test string + U2 = np.dtype((str, 2)) + U3 = np.dtype((str, 3)) + U5 = np.dtype((str, 5)) + assert_equal(np.array("1.0", dtype=np.float64), + np.ones((), dtype=np.float64)) + assert_equal(np.array("1.0").dtype, U3) + assert_equal(np.array("1.0", dtype=str).dtype, U3) + assert_equal(np.array("1.0", dtype=U2), np.array(str("1."))) + assert_equal(np.array("1", dtype=U5), np.ones((), dtype=U5)) + + builtins = getattr(__builtins__, '__dict__', __builtins__) + assert_(hasattr(builtins, 'get')) + + # test memoryview + dat = np.array(memoryview(b'1.0'), dtype=np.float64) + assert_equal(dat, [49.0, 46.0, 48.0]) + assert_(dat.dtype.type is np.float64) + + dat = np.array(memoryview(b'1.0')) + assert_equal(dat, [49, 46, 48]) + assert_(dat.dtype.type is np.uint8) + + # test array interface + a = np.array(100.0, dtype=np.float64) + o = type("o", (object,), + dict(__array_interface__=a.__array_interface__)) + assert_equal(np.array(o, dtype=np.float64), a) + + # test array_struct interface + a = np.array([(1, 4.0, 'Hello'), (2, 6.0, 'World')], + dtype=[('f0', int), ('f1', float), ('f2', str)]) + o = type("o", (object,), + dict(__array_struct__=a.__array_struct__)) + ## wasn't what I expected... is np.array(o) supposed to equal a ? + ## instead we get a array([...], dtype=">V18") + assert_equal(bytes(np.array(o).data), bytes(a.data)) + + # test array + def custom__array__(self, dtype=None, copy=None): + return np.array(100.0, dtype=dtype, copy=copy) + + o = type("o", (object,), dict(__array__=custom__array__))() + assert_equal(np.array(o, dtype=np.float64), np.array(100.0, np.float64)) + + # test recursion + nested = 1.5 + for i in range(ncu.MAXDIMS): + nested = [nested] + + # no error + np.array(nested) + + # Exceeds recursion limit + assert_raises(ValueError, np.array, [nested], dtype=np.float64) + + # Try with lists... + # float32 + assert_equal(np.array([None] * 10, dtype=np.float32), + np.full((10,), np.nan, dtype=np.float32)) + assert_equal(np.array([[None]] * 10, dtype=np.float32), + np.full((10, 1), np.nan, dtype=np.float32)) + assert_equal(np.array([[None] * 10], dtype=np.float32), + np.full((1, 10), np.nan, dtype=np.float32)) + assert_equal(np.array([[None] * 10] * 10, dtype=np.float32), + np.full((10, 10), np.nan, dtype=np.float32)) + # float64 + assert_equal(np.array([None] * 10, dtype=np.float64), + np.full((10,), np.nan, dtype=np.float64)) + assert_equal(np.array([[None]] * 10, dtype=np.float64), + np.full((10, 1), np.nan, dtype=np.float64)) + assert_equal(np.array([[None] * 10], dtype=np.float64), + np.full((1, 10), np.nan, dtype=np.float64)) + assert_equal(np.array([[None] * 10] * 10, dtype=np.float64), + np.full((10, 10), np.nan, dtype=np.float64)) + + assert_equal(np.array([1.0] * 10, dtype=np.float64), + np.ones((10,), dtype=np.float64)) + assert_equal(np.array([[1.0]] * 10, dtype=np.float64), + np.ones((10, 1), dtype=np.float64)) + assert_equal(np.array([[1.0] * 10], dtype=np.float64), + np.ones((1, 10), dtype=np.float64)) + assert_equal(np.array([[1.0] * 10] * 10, dtype=np.float64), + np.ones((10, 10), dtype=np.float64)) + + # Try with tuples + assert_equal(np.array((None,) * 10, dtype=np.float64), + np.full((10,), np.nan, dtype=np.float64)) + assert_equal(np.array([(None,)] * 10, dtype=np.float64), + np.full((10, 1), np.nan, dtype=np.float64)) + assert_equal(np.array([(None,) * 10], dtype=np.float64), + np.full((1, 10), np.nan, dtype=np.float64)) + assert_equal(np.array([(None,) * 10] * 10, dtype=np.float64), + np.full((10, 10), np.nan, dtype=np.float64)) + + assert_equal(np.array((1.0,) * 10, dtype=np.float64), + np.ones((10,), dtype=np.float64)) + assert_equal(np.array([(1.0,)] * 10, dtype=np.float64), + np.ones((10, 1), dtype=np.float64)) + assert_equal(np.array([(1.0,) * 10], dtype=np.float64), + np.ones((1, 10), dtype=np.float64)) + assert_equal(np.array([(1.0,) * 10] * 10, dtype=np.float64), + np.ones((10, 10), dtype=np.float64)) + +@pytest.mark.parametrize("array", [True, False]) +def test_array_impossible_casts(array): + # All builtin types can be forcibly cast, at least theoretically, + # but user dtypes cannot necessarily. + rt = rational(1, 2) + if array: + rt = np.array(rt) + with assert_raises(TypeError): + np.array(rt, dtype="M8") + + +def test_array_astype(): + a = np.arange(6, dtype='f4').reshape(2, 3) + # Default behavior: allows unsafe casts, keeps memory layout, + # always copies. + b = a.astype('i4') + assert_equal(a, b) + assert_equal(b.dtype, np.dtype('i4')) + assert_equal(a.strides, b.strides) + b = a.T.astype('i4') + assert_equal(a.T, b) + assert_equal(b.dtype, np.dtype('i4')) + assert_equal(a.T.strides, b.strides) + b = a.astype('f4') + assert_equal(a, b) + assert_(not (a is b)) + + # copy=False parameter skips a copy + b = a.astype('f4', copy=False) + assert_(a is b) + + # order parameter allows overriding of the memory layout, + # forcing a copy if the layout is wrong + b = a.astype('f4', order='F', copy=False) + assert_equal(a, b) + assert_(not (a is b)) + assert_(b.flags.f_contiguous) + + b = a.astype('f4', order='C', copy=False) + assert_equal(a, b) + assert_(a is b) + assert_(b.flags.c_contiguous) + + # casting parameter allows catching bad casts + b = a.astype('c8', casting='safe') + assert_equal(a, b) + assert_equal(b.dtype, np.dtype('c8')) + + assert_raises(TypeError, a.astype, 'i4', casting='safe') + + # subok=False passes through a non-subclassed array + b = a.astype('f4', subok=0, copy=False) + assert_(a is b) + + class MyNDArray(np.ndarray): + pass + + a = np.array([[0, 1, 2], [3, 4, 5]], dtype='f4').view(MyNDArray) + + # subok=True passes through a subclass + b = a.astype('f4', subok=True, copy=False) + assert_(a is b) + + # subok=True is default, and creates a subtype on a cast + b = a.astype('i4', copy=False) + assert_equal(a, b) + assert_equal(type(b), MyNDArray) + + # subok=False never returns a subclass + b = a.astype('f4', subok=False, copy=False) + assert_equal(a, b) + assert_(not (a is b)) + assert_(type(b) is not MyNDArray) + + # Make sure converting from string object to fixed length string + # does not truncate. + a = np.array([b'a'*100], dtype='O') + b = a.astype('S') + assert_equal(a, b) + assert_equal(b.dtype, np.dtype('S100')) + a = np.array(['a'*100], dtype='O') + b = a.astype('U') + assert_equal(a, b) + assert_equal(b.dtype, np.dtype('U100')) + + # Same test as above but for strings shorter than 64 characters + a = np.array([b'a'*10], dtype='O') + b = a.astype('S') + assert_equal(a, b) + assert_equal(b.dtype, np.dtype('S10')) + a = np.array(['a'*10], dtype='O') + b = a.astype('U') + assert_equal(a, b) + assert_equal(b.dtype, np.dtype('U10')) + + a = np.array(123456789012345678901234567890, dtype='O').astype('S') + assert_array_equal(a, np.array(b'1234567890' * 3, dtype='S30')) + a = np.array(123456789012345678901234567890, dtype='O').astype('U') + assert_array_equal(a, np.array('1234567890' * 3, dtype='U30')) + + a = np.array([123456789012345678901234567890], dtype='O').astype('S') + assert_array_equal(a, np.array(b'1234567890' * 3, dtype='S30')) + a = np.array([123456789012345678901234567890], dtype='O').astype('U') + assert_array_equal(a, np.array('1234567890' * 3, dtype='U30')) + + a = np.array(123456789012345678901234567890, dtype='S') + assert_array_equal(a, np.array(b'1234567890' * 3, dtype='S30')) + a = np.array(123456789012345678901234567890, dtype='U') + assert_array_equal(a, np.array('1234567890' * 3, dtype='U30')) + + a = np.array('a\u0140', dtype='U') + b = np.ndarray(buffer=a, dtype='uint32', shape=2) + assert_(b.size == 2) + + a = np.array([1000], dtype='i4') + assert_raises(TypeError, a.astype, 'S1', casting='safe') + + a = np.array(1000, dtype='i4') + assert_raises(TypeError, a.astype, 'U1', casting='safe') + + # gh-24023 + assert_raises(TypeError, a.astype) + +@pytest.mark.parametrize("dt", ["S", "U"]) +def test_array_astype_to_string_discovery_empty(dt): + # See also gh-19085 + arr = np.array([""], dtype=object) + # Note, the itemsize is the `0 -> 1` logic, which should change. + # The important part the test is rather that it does not error. + assert arr.astype(dt).dtype.itemsize == np.dtype(f"{dt}1").itemsize + + # check the same thing for `np.can_cast` (since it accepts arrays) + assert np.can_cast(arr, dt, casting="unsafe") + assert not np.can_cast(arr, dt, casting="same_kind") + # as well as for the object as a descriptor: + assert np.can_cast("O", dt, casting="unsafe") + +@pytest.mark.parametrize("dt", ["d", "f", "S13", "U32"]) +def test_array_astype_to_void(dt): + dt = np.dtype(dt) + arr = np.array([], dtype=dt) + assert arr.astype("V").dtype.itemsize == dt.itemsize + +def test_object_array_astype_to_void(): + # This is different to `test_array_astype_to_void` as object arrays + # are inspected. The default void is "V8" (8 is the length of double) + arr = np.array([], dtype="O").astype("V") + assert arr.dtype == "V8" + +@pytest.mark.parametrize("t", + np._core.sctypes['uint'] + + np._core.sctypes['int'] + + np._core.sctypes['float'] +) +def test_array_astype_warning(t): + # test ComplexWarning when casting from complex to float or int + a = np.array(10, dtype=np.complex128) + assert_warns(np.exceptions.ComplexWarning, a.astype, t) + +@pytest.mark.parametrize(["dtype", "out_dtype"], + [(np.bytes_, np.bool), + (np.str_, np.bool), + (np.dtype("S10,S9"), np.dtype("?,?")), + # The following also checks unaligned unicode access: + (np.dtype("S7,U9"), np.dtype("?,?"))]) +def test_string_to_boolean_cast(dtype, out_dtype): + # Only the last two (empty) strings are falsy (the `\0` is stripped): + arr = np.array( + ["10", "10\0\0\0", "0\0\0", "0", "False", " ", "", "\0"], + dtype=dtype) + expected = np.array( + [True, True, True, True, True, True, False, False], + dtype=out_dtype) + assert_array_equal(arr.astype(out_dtype), expected) + # As it's similar, check that nonzero behaves the same (structs are + # nonzero if all entries are) + assert_array_equal(np.nonzero(arr), np.nonzero(expected)) + +@pytest.mark.parametrize("str_type", [str, bytes, np.str_]) +@pytest.mark.parametrize("scalar_type", + [np.complex64, np.complex128, np.clongdouble]) +def test_string_to_complex_cast(str_type, scalar_type): + value = scalar_type(b"1+3j") + assert scalar_type(value) == 1+3j + assert np.array([value], dtype=object).astype(scalar_type)[()] == 1+3j + assert np.array(value).astype(scalar_type)[()] == 1+3j + arr = np.zeros(1, dtype=scalar_type) + arr[0] = value + assert arr[0] == 1+3j + +@pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) +def test_none_to_nan_cast(dtype): + # Note that at the time of writing this test, the scalar constructors + # reject None + arr = np.zeros(1, dtype=dtype) + arr[0] = None + assert np.isnan(arr)[0] + assert np.isnan(np.array(None, dtype=dtype))[()] + assert np.isnan(np.array([None], dtype=dtype))[0] + assert np.isnan(np.array(None).astype(dtype))[()] + +def test_copyto_fromscalar(): + a = np.arange(6, dtype='f4').reshape(2, 3) + + # Simple copy + np.copyto(a, 1.5) + assert_equal(a, 1.5) + np.copyto(a.T, 2.5) + assert_equal(a, 2.5) + + # Where-masked copy + mask = np.array([[0, 1, 0], [0, 0, 1]], dtype='?') + np.copyto(a, 3.5, where=mask) + assert_equal(a, [[2.5, 3.5, 2.5], [2.5, 2.5, 3.5]]) + mask = np.array([[0, 1], [1, 1], [1, 0]], dtype='?') + np.copyto(a.T, 4.5, where=mask) + assert_equal(a, [[2.5, 4.5, 4.5], [4.5, 4.5, 3.5]]) + +def test_copyto(): + a = np.arange(6, dtype='i4').reshape(2, 3) + + # Simple copy + np.copyto(a, [[3, 1, 5], [6, 2, 1]]) + assert_equal(a, [[3, 1, 5], [6, 2, 1]]) + + # Overlapping copy should work + np.copyto(a[:, :2], a[::-1, 1::-1]) + assert_equal(a, [[2, 6, 5], [1, 3, 1]]) + + # Defaults to 'same_kind' casting + assert_raises(TypeError, np.copyto, a, 1.5) + + # Force a copy with 'unsafe' casting, truncating 1.5 to 1 + np.copyto(a, 1.5, casting='unsafe') + assert_equal(a, 1) + + # Copying with a mask + np.copyto(a, 3, where=[True, False, True]) + assert_equal(a, [[3, 1, 3], [3, 1, 3]]) + + # Casting rule still applies with a mask + assert_raises(TypeError, np.copyto, a, 3.5, where=[True, False, True]) + + # Lists of integer 0's and 1's is ok too + np.copyto(a, 4.0, casting='unsafe', where=[[0, 1, 1], [1, 0, 0]]) + assert_equal(a, [[3, 4, 4], [4, 1, 3]]) + + # Overlapping copy with mask should work + np.copyto(a[:, :2], a[::-1, 1::-1], where=[[0, 1], [1, 1]]) + assert_equal(a, [[3, 4, 4], [4, 3, 3]]) + + # 'dst' must be an array + assert_raises(TypeError, np.copyto, [1, 2, 3], [2, 3, 4]) + + +def test_copyto_cast_safety(): + with pytest.raises(TypeError): + np.copyto(np.arange(3), 3., casting="safe") + + # Can put integer and float scalars safely (and equiv): + np.copyto(np.arange(3), 3, casting="equiv") + np.copyto(np.arange(3.), 3., casting="equiv") + # And also with less precision safely: + np.copyto(np.arange(3, dtype="uint8"), 3, casting="safe") + np.copyto(np.arange(3., dtype="float32"), 3., casting="safe") + + # But not equiv: + with pytest.raises(TypeError): + np.copyto(np.arange(3, dtype="uint8"), 3, casting="equiv") + + with pytest.raises(TypeError): + np.copyto(np.arange(3., dtype="float32"), 3., casting="equiv") + + # As a special thing, object is equiv currently: + np.copyto(np.arange(3, dtype=object), 3, casting="equiv") + + # The following raises an overflow error/gives a warning but not + # type error (due to casting), though: + with pytest.raises(OverflowError): + np.copyto(np.arange(3), 2**80, casting="safe") + + with pytest.warns(RuntimeWarning): + np.copyto(np.arange(3, dtype=np.float32), 2e300, casting="safe") + + +def test_copyto_permut(): + # test explicit overflow case + pad = 500 + l = [True] * pad + [True, True, True, True] + r = np.zeros(len(l)-pad) + d = np.ones(len(l)-pad) + mask = np.array(l)[pad:] + np.copyto(r, d, where=mask[::-1]) + + # test all permutation of possible masks, 9 should be sufficient for + # current 4 byte unrolled code + power = 9 + d = np.ones(power) + for i in range(2**power): + r = np.zeros(power) + l = [(i & x) != 0 for x in range(power)] + mask = np.array(l) + np.copyto(r, d, where=mask) + assert_array_equal(r == 1, l) + assert_equal(r.sum(), sum(l)) + + r = np.zeros(power) + np.copyto(r, d, where=mask[::-1]) + assert_array_equal(r == 1, l[::-1]) + assert_equal(r.sum(), sum(l)) + + r = np.zeros(power) + np.copyto(r[::2], d[::2], where=mask[::2]) + assert_array_equal(r[::2] == 1, l[::2]) + assert_equal(r[::2].sum(), sum(l[::2])) + + r = np.zeros(power) + np.copyto(r[::2], d[::2], where=mask[::-2]) + assert_array_equal(r[::2] == 1, l[::-2]) + assert_equal(r[::2].sum(), sum(l[::-2])) + + for c in [0xFF, 0x7F, 0x02, 0x10]: + r = np.zeros(power) + mask = np.array(l) + imask = np.array(l).view(np.uint8) + imask[mask != 0] = c + np.copyto(r, d, where=mask) + assert_array_equal(r == 1, l) + assert_equal(r.sum(), sum(l)) + + r = np.zeros(power) + np.copyto(r, d, where=True) + assert_equal(r.sum(), r.size) + r = np.ones(power) + d = np.zeros(power) + np.copyto(r, d, where=False) + assert_equal(r.sum(), r.size) + +def test_copy_order(): + a = np.arange(24).reshape(2, 1, 3, 4) + b = a.copy(order='F') + c = np.arange(24).reshape(2, 1, 4, 3).swapaxes(2, 3) + + def check_copy_result(x, y, ccontig, fcontig, strides=False): + assert_(not (x is y)) + assert_equal(x, y) + assert_equal(res.flags.c_contiguous, ccontig) + assert_equal(res.flags.f_contiguous, fcontig) + + # Validate the initial state of a, b, and c + assert_(a.flags.c_contiguous) + assert_(not a.flags.f_contiguous) + assert_(not b.flags.c_contiguous) + assert_(b.flags.f_contiguous) + assert_(not c.flags.c_contiguous) + assert_(not c.flags.f_contiguous) + + # Copy with order='C' + res = a.copy(order='C') + check_copy_result(res, a, ccontig=True, fcontig=False, strides=True) + res = b.copy(order='C') + check_copy_result(res, b, ccontig=True, fcontig=False, strides=False) + res = c.copy(order='C') + check_copy_result(res, c, ccontig=True, fcontig=False, strides=False) + res = np.copy(a, order='C') + check_copy_result(res, a, ccontig=True, fcontig=False, strides=True) + res = np.copy(b, order='C') + check_copy_result(res, b, ccontig=True, fcontig=False, strides=False) + res = np.copy(c, order='C') + check_copy_result(res, c, ccontig=True, fcontig=False, strides=False) + + # Copy with order='F' + res = a.copy(order='F') + check_copy_result(res, a, ccontig=False, fcontig=True, strides=False) + res = b.copy(order='F') + check_copy_result(res, b, ccontig=False, fcontig=True, strides=True) + res = c.copy(order='F') + check_copy_result(res, c, ccontig=False, fcontig=True, strides=False) + res = np.copy(a, order='F') + check_copy_result(res, a, ccontig=False, fcontig=True, strides=False) + res = np.copy(b, order='F') + check_copy_result(res, b, ccontig=False, fcontig=True, strides=True) + res = np.copy(c, order='F') + check_copy_result(res, c, ccontig=False, fcontig=True, strides=False) + + # Copy with order='K' + res = a.copy(order='K') + check_copy_result(res, a, ccontig=True, fcontig=False, strides=True) + res = b.copy(order='K') + check_copy_result(res, b, ccontig=False, fcontig=True, strides=True) + res = c.copy(order='K') + check_copy_result(res, c, ccontig=False, fcontig=False, strides=True) + res = np.copy(a, order='K') + check_copy_result(res, a, ccontig=True, fcontig=False, strides=True) + res = np.copy(b, order='K') + check_copy_result(res, b, ccontig=False, fcontig=True, strides=True) + res = np.copy(c, order='K') + check_copy_result(res, c, ccontig=False, fcontig=False, strides=True) + +def test_contiguous_flags(): + a = np.ones((4, 4, 1))[::2,:,:] + a.strides = a.strides[:2] + (-123,) + b = np.ones((2, 2, 1, 2, 2)).swapaxes(3, 4) + + def check_contig(a, ccontig, fcontig): + assert_(a.flags.c_contiguous == ccontig) + assert_(a.flags.f_contiguous == fcontig) + + # Check if new arrays are correct: + check_contig(a, False, False) + check_contig(b, False, False) + check_contig(np.empty((2, 2, 0, 2, 2)), True, True) + check_contig(np.array([[[1], [2]]], order='F'), True, True) + check_contig(np.empty((2, 2)), True, False) + check_contig(np.empty((2, 2), order='F'), False, True) + + # Check that np.array creates correct contiguous flags: + check_contig(np.array(a, copy=None), False, False) + check_contig(np.array(a, copy=None, order='C'), True, False) + check_contig(np.array(a, ndmin=4, copy=None, order='F'), False, True) + + # Check slicing update of flags and : + check_contig(a[0], True, True) + check_contig(a[None, ::4, ..., None], True, True) + check_contig(b[0, 0, ...], False, True) + check_contig(b[:, :, 0:0, :, :], True, True) + + # Test ravel and squeeze. + check_contig(a.ravel(), True, True) + check_contig(np.ones((1, 3, 1)).squeeze(), True, True) + +def test_broadcast_arrays(): + # Test user defined dtypes + a = np.array([(1, 2, 3)], dtype='u4,u4,u4') + b = np.array([(1, 2, 3), (4, 5, 6), (7, 8, 9)], dtype='u4,u4,u4') + result = np.broadcast_arrays(a, b) + assert_equal(result[0], np.array([(1, 2, 3), (1, 2, 3), (1, 2, 3)], dtype='u4,u4,u4')) + assert_equal(result[1], np.array([(1, 2, 3), (4, 5, 6), (7, 8, 9)], dtype='u4,u4,u4')) + +@pytest.mark.parametrize(["shape", "fill_value", "expected_output"], + [((2, 2), [5.0, 6.0], np.array([[5.0, 6.0], [5.0, 6.0]])), + ((3, 2), [1.0, 2.0], np.array([[1.0, 2.0], [1.0, 2.0], [1.0, 2.0]]))]) +def test_full_from_list(shape, fill_value, expected_output): + output = np.full(shape, fill_value) + assert_equal(output, expected_output) + +def test_astype_copyflag(): + # test the various copyflag options + arr = np.arange(10, dtype=np.intp) + + res_true = arr.astype(np.intp, copy=True) + assert not np.shares_memory(arr, res_true) + + res_false = arr.astype(np.intp, copy=False) + assert np.shares_memory(arr, res_false) + + res_false_float = arr.astype(np.float64, copy=False) + assert not np.shares_memory(arr, res_false_float) + + # _CopyMode enum isn't allowed + assert_raises(ValueError, arr.astype, np.float64, + copy=np._CopyMode.NEVER) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_argparse.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_argparse.py new file mode 100644 index 0000000000000000000000000000000000000000..ededced3b9fee9f8615ae49c6a8b8d38626154ae --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_argparse.py @@ -0,0 +1,90 @@ +""" +Tests for the private NumPy argument parsing functionality. +They mainly exists to ensure good test coverage without having to try the +weirder cases on actual numpy functions but test them in one place. + +The test function is defined in C to be equivalent to (errors may not always +match exactly, and could be adjusted): + + def func(arg1, /, arg2, *, arg3): + i = integer(arg1) # reproducing the 'i' parsing in Python. + return None +""" + +import threading + +import pytest + +import numpy as np +from numpy._core._multiarray_tests import ( + argparse_example_function as func, + threaded_argparse_example_function as thread_func, +) +from numpy.testing import IS_WASM + + +@pytest.mark.skipif(IS_WASM, reason="wasm doesn't have support for threads") +def test_thread_safe_argparse_cache(): + b = threading.Barrier(8) + + def call_thread_func(): + b.wait() + thread_func(arg1=3, arg2=None) + + tasks = [threading.Thread(target=call_thread_func) for _ in range(8)] + [t.start() for t in tasks] + [t.join() for t in tasks] + + +def test_invalid_integers(): + with pytest.raises(TypeError, + match="integer argument expected, got float"): + func(1.) + with pytest.raises(OverflowError): + func(2**100) + + +def test_missing_arguments(): + with pytest.raises(TypeError, + match="missing required positional argument 0"): + func() + with pytest.raises(TypeError, + match="missing required positional argument 0"): + func(arg2=1, arg3=4) + with pytest.raises(TypeError, + match=r"missing required argument \'arg2\' \(pos 1\)"): + func(1, arg3=5) + + +def test_too_many_positional(): + # the second argument is positional but can be passed as keyword. + with pytest.raises(TypeError, + match="takes from 2 to 3 positional arguments but 4 were given"): + func(1, 2, 3, 4) + + +def test_multiple_values(): + with pytest.raises(TypeError, + match=r"given by name \('arg2'\) and position \(position 1\)"): + func(1, 2, arg2=3) + + +def test_string_fallbacks(): + # We can (currently?) use numpy strings to test the "slow" fallbacks + # that should normally not be taken due to string interning. + arg2 = np.str_("arg2") + missing_arg = np.str_("missing_arg") + func(1, **{arg2: 3}) + with pytest.raises(TypeError, + match="got an unexpected keyword argument 'missing_arg'"): + func(2, **{missing_arg: 3}) + + +def test_too_many_arguments_method_forwarding(): + # Not directly related to the standard argument parsing, but we sometimes + # forward methods to Python: arr.mean() calls np._core._methods._mean() + # This adds code coverage for this `npy_forward_method`. + arr = np.arange(3) + args = range(1000) + with pytest.raises(TypeError): + arr.mean(*args) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_api_info.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_api_info.py new file mode 100644 index 0000000000000000000000000000000000000000..cccf5d346c8b441de4c6c780ad01a6f5e93d8f3f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_api_info.py @@ -0,0 +1,112 @@ +import numpy as np +import pytest + +info = np.__array_namespace_info__() + + +def test_capabilities(): + caps = info.capabilities() + assert caps["boolean indexing"] is True + assert caps["data-dependent shapes"] is True + + # This will be added in the 2024.12 release of the array API standard. + + # assert caps["max rank"] == 64 + # np.zeros((1,)*64) + # with pytest.raises(ValueError): + # np.zeros((1,)*65) + + +def test_default_device(): + assert info.default_device() == "cpu" == np.asarray(0).device + + +def test_default_dtypes(): + dtypes = info.default_dtypes() + assert dtypes["real floating"] == np.float64 == np.asarray(0.0).dtype + assert dtypes["complex floating"] == np.complex128 == \ + np.asarray(0.0j).dtype + assert dtypes["integral"] == np.intp == np.asarray(0).dtype + assert dtypes["indexing"] == np.intp == np.argmax(np.zeros(10)).dtype + + with pytest.raises(ValueError, match="Device not understood"): + info.default_dtypes(device="gpu") + + +def test_dtypes_all(): + dtypes = info.dtypes() + assert dtypes == { + "bool": np.bool_, + "int8": np.int8, + "int16": np.int16, + "int32": np.int32, + "int64": np.int64, + "uint8": np.uint8, + "uint16": np.uint16, + "uint32": np.uint32, + "uint64": np.uint64, + "float32": np.float32, + "float64": np.float64, + "complex64": np.complex64, + "complex128": np.complex128, + } + + +dtype_categories = { + "bool": {"bool": np.bool_}, + "signed integer": { + "int8": np.int8, + "int16": np.int16, + "int32": np.int32, + "int64": np.int64, + }, + "unsigned integer": { + "uint8": np.uint8, + "uint16": np.uint16, + "uint32": np.uint32, + "uint64": np.uint64, + }, + "integral": ("signed integer", "unsigned integer"), + "real floating": {"float32": np.float32, "float64": np.float64}, + "complex floating": {"complex64": np.complex64, "complex128": + np.complex128}, + "numeric": ("integral", "real floating", "complex floating"), +} + + +@pytest.mark.parametrize("kind", dtype_categories) +def test_dtypes_kind(kind): + expected = dtype_categories[kind] + if isinstance(expected, tuple): + assert info.dtypes(kind=kind) == info.dtypes(kind=expected) + else: + assert info.dtypes(kind=kind) == expected + + +def test_dtypes_tuple(): + dtypes = info.dtypes(kind=("bool", "integral")) + assert dtypes == { + "bool": np.bool_, + "int8": np.int8, + "int16": np.int16, + "int32": np.int32, + "int64": np.int64, + "uint8": np.uint8, + "uint16": np.uint16, + "uint32": np.uint32, + "uint64": np.uint64, + } + + +def test_dtypes_invalid_kind(): + with pytest.raises(ValueError, match="unsupported kind"): + info.dtypes(kind="invalid") + + +def test_dtypes_invalid_device(): + with pytest.raises(ValueError, match="Device not understood"): + info.dtypes(device="gpu") + + +def test_devices(): + assert info.devices() == ["cpu"] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_coercion.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_coercion.py new file mode 100644 index 0000000000000000000000000000000000000000..55c5005149c1de10188e6f1b0017c0b52672a657 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_coercion.py @@ -0,0 +1,911 @@ +""" +Tests for array coercion, mainly through testing `np.array` results directly. +Note that other such tests exist, e.g., in `test_api.py` and many corner-cases +are tested (sometimes indirectly) elsewhere. +""" + +from itertools import permutations, product + +import pytest +from pytest import param + +import numpy as np +import numpy._core._multiarray_umath as ncu +from numpy._core._rational_tests import rational + +from numpy.testing import ( + assert_array_equal, assert_warns, IS_PYPY, IS_64BIT +) + + +def arraylikes(): + """ + Generator for functions converting an array into various array-likes. + If full is True (default) it includes array-likes not capable of handling + all dtypes. + """ + # base array: + def ndarray(a): + return a + + yield param(ndarray, id="ndarray") + + # subclass: + class MyArr(np.ndarray): + pass + + def subclass(a): + return a.view(MyArr) + + yield subclass + + class _SequenceLike: + # Older NumPy versions, sometimes cared whether a protocol array was + # also _SequenceLike. This shouldn't matter, but keep it for now + # for __array__ and not the others. + def __len__(self): + raise TypeError + + def __getitem__(self): + raise TypeError + + # Array-interface + class ArrayDunder(_SequenceLike): + def __init__(self, a): + self.a = a + + def __array__(self, dtype=None, copy=None): + if dtype is None: + return self.a + return self.a.astype(dtype) + + yield param(ArrayDunder, id="__array__") + + # memory-view + yield param(memoryview, id="memoryview") + + # Array-interface + class ArrayInterface: + def __init__(self, a): + self.a = a # need to hold on to keep interface valid + self.__array_interface__ = a.__array_interface__ + + yield param(ArrayInterface, id="__array_interface__") + + # Array-Struct + class ArrayStruct: + def __init__(self, a): + self.a = a # need to hold on to keep struct valid + self.__array_struct__ = a.__array_struct__ + + yield param(ArrayStruct, id="__array_struct__") + + +def scalar_instances(times=True, extended_precision=True, user_dtype=True): + # Hard-coded list of scalar instances. + # Floats: + yield param(np.sqrt(np.float16(5)), id="float16") + yield param(np.sqrt(np.float32(5)), id="float32") + yield param(np.sqrt(np.float64(5)), id="float64") + if extended_precision: + yield param(np.sqrt(np.longdouble(5)), id="longdouble") + + # Complex: + yield param(np.sqrt(np.complex64(2+3j)), id="complex64") + yield param(np.sqrt(np.complex128(2+3j)), id="complex128") + if extended_precision: + yield param(np.sqrt(np.clongdouble(2+3j)), id="clongdouble") + + # Bool: + # XFAIL: Bool should be added, but has some bad properties when it + # comes to strings, see also gh-9875 + # yield param(np.bool(0), id="bool") + + # Integers: + yield param(np.int8(2), id="int8") + yield param(np.int16(2), id="int16") + yield param(np.int32(2), id="int32") + yield param(np.int64(2), id="int64") + + yield param(np.uint8(2), id="uint8") + yield param(np.uint16(2), id="uint16") + yield param(np.uint32(2), id="uint32") + yield param(np.uint64(2), id="uint64") + + # Rational: + if user_dtype: + yield param(rational(1, 2), id="rational") + + # Cannot create a structured void scalar directly: + structured = np.array([(1, 3)], "i,i")[0] + assert isinstance(structured, np.void) + assert structured.dtype == np.dtype("i,i") + yield param(structured, id="structured") + + if times: + # Datetimes and timedelta + yield param(np.timedelta64(2), id="timedelta64[generic]") + yield param(np.timedelta64(23, "s"), id="timedelta64[s]") + yield param(np.timedelta64("NaT", "s"), id="timedelta64[s](NaT)") + + yield param(np.datetime64("NaT"), id="datetime64[generic](NaT)") + yield param(np.datetime64("2020-06-07 12:43", "ms"), id="datetime64[ms]") + + # Strings and unstructured void: + yield param(np.bytes_(b"1234"), id="bytes") + yield param(np.str_("2345"), id="unicode") + yield param(np.void(b"4321"), id="unstructured_void") + + +def is_parametric_dtype(dtype): + """Returns True if the dtype is a parametric legacy dtype (itemsize + is 0, or a datetime without units) + """ + if dtype.itemsize == 0: + return True + if issubclass(dtype.type, (np.datetime64, np.timedelta64)): + if dtype.name.endswith("64"): + # Generic time units + return True + return False + + +class TestStringDiscovery: + @pytest.mark.parametrize("obj", + [object(), 1.2, 10**43, None, "string"], + ids=["object", "1.2", "10**43", "None", "string"]) + def test_basic_stringlength(self, obj): + length = len(str(obj)) + expected = np.dtype(f"S{length}") + + assert np.array(obj, dtype="S").dtype == expected + assert np.array([obj], dtype="S").dtype == expected + + # A nested array is also discovered correctly + arr = np.array(obj, dtype="O") + assert np.array(arr, dtype="S").dtype == expected + # Also if we use the dtype class + assert np.array(arr, dtype=type(expected)).dtype == expected + # Check that .astype() behaves identical + assert arr.astype("S").dtype == expected + # The DType class is accepted by `.astype()` + assert arr.astype(type(np.dtype("S"))).dtype == expected + + @pytest.mark.parametrize("obj", + [object(), 1.2, 10**43, None, "string"], + ids=["object", "1.2", "10**43", "None", "string"]) + def test_nested_arrays_stringlength(self, obj): + length = len(str(obj)) + expected = np.dtype(f"S{length}") + arr = np.array(obj, dtype="O") + assert np.array([arr, arr], dtype="S").dtype == expected + + @pytest.mark.parametrize("arraylike", arraylikes()) + def test_unpack_first_level(self, arraylike): + # We unpack exactly one level of array likes + obj = np.array([None]) + obj[0] = np.array(1.2) + # the length of the included item, not of the float dtype + length = len(str(obj[0])) + expected = np.dtype(f"S{length}") + + obj = arraylike(obj) + # casting to string usually calls str(obj) + arr = np.array([obj], dtype="S") + assert arr.shape == (1, 1) + assert arr.dtype == expected + + +class TestScalarDiscovery: + def test_void_special_case(self): + # Void dtypes with structures discover tuples as elements + arr = np.array((1, 2, 3), dtype="i,i,i") + assert arr.shape == () + arr = np.array([(1, 2, 3)], dtype="i,i,i") + assert arr.shape == (1,) + + def test_char_special_case(self): + arr = np.array("string", dtype="c") + assert arr.shape == (6,) + assert arr.dtype.char == "c" + arr = np.array(["string"], dtype="c") + assert arr.shape == (1, 6) + assert arr.dtype.char == "c" + + def test_char_special_case_deep(self): + # Check that the character special case errors correctly if the + # array is too deep: + nested = ["string"] # 2 dimensions (due to string being sequence) + for i in range(ncu.MAXDIMS - 2): + nested = [nested] + + arr = np.array(nested, dtype='c') + assert arr.shape == (1,) * (ncu.MAXDIMS - 1) + (6,) + with pytest.raises(ValueError): + np.array([nested], dtype="c") + + def test_unknown_object(self): + arr = np.array(object()) + assert arr.shape == () + assert arr.dtype == np.dtype("O") + + @pytest.mark.parametrize("scalar", scalar_instances()) + def test_scalar(self, scalar): + arr = np.array(scalar) + assert arr.shape == () + assert arr.dtype == scalar.dtype + + arr = np.array([[scalar, scalar]]) + assert arr.shape == (1, 2) + assert arr.dtype == scalar.dtype + + # Additionally to string this test also runs into a corner case + # with datetime promotion (the difference is the promotion order). + @pytest.mark.filterwarnings("ignore:Promotion of numbers:FutureWarning") + def test_scalar_promotion(self): + for sc1, sc2 in product(scalar_instances(), scalar_instances()): + sc1, sc2 = sc1.values[0], sc2.values[0] + # test all combinations: + try: + arr = np.array([sc1, sc2]) + except (TypeError, ValueError): + # The promotion between two times can fail + # XFAIL (ValueError): Some object casts are currently undefined + continue + assert arr.shape == (2,) + try: + dt1, dt2 = sc1.dtype, sc2.dtype + expected_dtype = np.promote_types(dt1, dt2) + assert arr.dtype == expected_dtype + except TypeError as e: + # Will currently always go to object dtype + assert arr.dtype == np.dtype("O") + + @pytest.mark.parametrize("scalar", scalar_instances()) + def test_scalar_coercion(self, scalar): + # This tests various scalar coercion paths, mainly for the numerical + # types. It includes some paths not directly related to `np.array`. + if isinstance(scalar, np.inexact): + # Ensure we have a full-precision number if available + scalar = type(scalar)((scalar * 2)**0.5) + + if type(scalar) is rational: + # Rational generally fails due to a missing cast. In the future + # object casts should automatically be defined based on `setitem`. + pytest.xfail("Rational to object cast is undefined currently.") + + # Use casting from object: + arr = np.array(scalar, dtype=object).astype(scalar.dtype) + + # Test various ways to create an array containing this scalar: + arr1 = np.array(scalar).reshape(1) + arr2 = np.array([scalar]) + arr3 = np.empty(1, dtype=scalar.dtype) + arr3[0] = scalar + arr4 = np.empty(1, dtype=scalar.dtype) + arr4[:] = [scalar] + # All of these methods should yield the same results + assert_array_equal(arr, arr1) + assert_array_equal(arr, arr2) + assert_array_equal(arr, arr3) + assert_array_equal(arr, arr4) + + @pytest.mark.xfail(IS_PYPY, reason="`int(np.complex128(3))` fails on PyPy") + @pytest.mark.filterwarnings("ignore::numpy.exceptions.ComplexWarning") + @pytest.mark.parametrize("cast_to", scalar_instances()) + def test_scalar_coercion_same_as_cast_and_assignment(self, cast_to): + """ + Test that in most cases: + * `np.array(scalar, dtype=dtype)` + * `np.empty((), dtype=dtype)[()] = scalar` + * `np.array(scalar).astype(dtype)` + should behave the same. The only exceptions are parametric dtypes + (mainly datetime/timedelta without unit) and void without fields. + """ + dtype = cast_to.dtype # use to parametrize only the target dtype + + for scalar in scalar_instances(times=False): + scalar = scalar.values[0] + + if dtype.type == np.void: + if scalar.dtype.fields is not None and dtype.fields is None: + # Here, coercion to "V6" works, but the cast fails. + # Since the types are identical, SETITEM takes care of + # this, but has different rules than the cast. + with pytest.raises(TypeError): + np.array(scalar).astype(dtype) + np.array(scalar, dtype=dtype) + np.array([scalar], dtype=dtype) + continue + + # The main test, we first try to use casting and if it succeeds + # continue below testing that things are the same, otherwise + # test that the alternative paths at least also fail. + try: + cast = np.array(scalar).astype(dtype) + except (TypeError, ValueError, RuntimeError): + # coercion should also raise (error type may change) + with pytest.raises(Exception): + np.array(scalar, dtype=dtype) + + if (isinstance(scalar, rational) and + np.issubdtype(dtype, np.signedinteger)): + return + + with pytest.raises(Exception): + np.array([scalar], dtype=dtype) + # assignment should also raise + res = np.zeros((), dtype=dtype) + with pytest.raises(Exception): + res[()] = scalar + + return + + # Non error path: + arr = np.array(scalar, dtype=dtype) + assert_array_equal(arr, cast) + # assignment behaves the same + ass = np.zeros((), dtype=dtype) + ass[()] = scalar + assert_array_equal(ass, cast) + + @pytest.mark.parametrize("pyscalar", [10, 10.32, 10.14j, 10**100]) + def test_pyscalar_subclasses(self, pyscalar): + """NumPy arrays are read/write which means that anything but invariant + behaviour is on thin ice. However, we currently are happy to discover + subclasses of Python float, int, complex the same as the base classes. + This should potentially be deprecated. + """ + class MyScalar(type(pyscalar)): + pass + + res = np.array(MyScalar(pyscalar)) + expected = np.array(pyscalar) + assert_array_equal(res, expected) + + @pytest.mark.parametrize("dtype_char", np.typecodes["All"]) + def test_default_dtype_instance(self, dtype_char): + if dtype_char in "SU": + dtype = np.dtype(dtype_char + "1") + elif dtype_char == "V": + # Legacy behaviour was to use V8. The reason was float64 being the + # default dtype and that having 8 bytes. + dtype = np.dtype("V8") + else: + dtype = np.dtype(dtype_char) + + discovered_dtype, _ = ncu._discover_array_parameters([], type(dtype)) + + assert discovered_dtype == dtype + assert discovered_dtype.itemsize == dtype.itemsize + + @pytest.mark.parametrize("dtype", np.typecodes["Integer"]) + @pytest.mark.parametrize(["scalar", "error"], + [(np.float64(np.nan), ValueError), + (np.array(-1).astype(np.ulonglong)[()], OverflowError)]) + def test_scalar_to_int_coerce_does_not_cast(self, dtype, scalar, error): + """ + Signed integers are currently different in that they do not cast other + NumPy scalar, but instead use scalar.__int__(). The hardcoded + exception to this rule is `np.array(scalar, dtype=integer)`. + """ + dtype = np.dtype(dtype) + + # This is a special case using casting logic. It warns for the NaN + # but allows the cast (giving undefined behaviour). + with np.errstate(invalid="ignore"): + coerced = np.array(scalar, dtype=dtype) + cast = np.array(scalar).astype(dtype) + assert_array_equal(coerced, cast) + + # However these fail: + with pytest.raises(error): + np.array([scalar], dtype=dtype) + with pytest.raises(error): + cast[()] = scalar + + +class TestTimeScalars: + @pytest.mark.parametrize("dtype", [np.int64, np.float32]) + @pytest.mark.parametrize("scalar", + [param(np.timedelta64("NaT", "s"), id="timedelta64[s](NaT)"), + param(np.timedelta64(123, "s"), id="timedelta64[s]"), + param(np.datetime64("NaT", "generic"), id="datetime64[generic](NaT)"), + param(np.datetime64(1, "D"), id="datetime64[D]")],) + def test_coercion_basic(self, dtype, scalar): + # Note the `[scalar]` is there because np.array(scalar) uses stricter + # `scalar.__int__()` rules for backward compatibility right now. + arr = np.array(scalar, dtype=dtype) + cast = np.array(scalar).astype(dtype) + assert_array_equal(arr, cast) + + ass = np.ones((), dtype=dtype) + if issubclass(dtype, np.integer): + with pytest.raises(TypeError): + # raises, as would np.array([scalar], dtype=dtype), this is + # conversion from times, but behaviour of integers. + ass[()] = scalar + else: + ass[()] = scalar + assert_array_equal(ass, cast) + + @pytest.mark.parametrize("dtype", [np.int64, np.float32]) + @pytest.mark.parametrize("scalar", + [param(np.timedelta64(123, "ns"), id="timedelta64[ns]"), + param(np.timedelta64(12, "generic"), id="timedelta64[generic]")]) + def test_coercion_timedelta_convert_to_number(self, dtype, scalar): + # Only "ns" and "generic" timedeltas can be converted to numbers + # so these are slightly special. + arr = np.array(scalar, dtype=dtype) + cast = np.array(scalar).astype(dtype) + ass = np.ones((), dtype=dtype) + ass[()] = scalar # raises, as would np.array([scalar], dtype=dtype) + + assert_array_equal(arr, cast) + assert_array_equal(cast, cast) + + @pytest.mark.parametrize("dtype", ["S6", "U6"]) + @pytest.mark.parametrize(["val", "unit"], + [param(123, "s", id="[s]"), param(123, "D", id="[D]")]) + def test_coercion_assignment_datetime(self, val, unit, dtype): + # String from datetime64 assignment is currently special cased to + # never use casting. This is because casting will error in this + # case, and traditionally in most cases the behaviour is maintained + # like this. (`np.array(scalar, dtype="U6")` would have failed before) + # TODO: This discrepancy _should_ be resolved, either by relaxing the + # cast, or by deprecating the first part. + scalar = np.datetime64(val, unit) + dtype = np.dtype(dtype) + cut_string = dtype.type(str(scalar)[:6]) + + arr = np.array(scalar, dtype=dtype) + assert arr[()] == cut_string + ass = np.ones((), dtype=dtype) + ass[()] = scalar + assert ass[()] == cut_string + + with pytest.raises(RuntimeError): + # However, unlike the above assignment using `str(scalar)[:6]` + # due to being handled by the string DType and not be casting + # the explicit cast fails: + np.array(scalar).astype(dtype) + + + @pytest.mark.parametrize(["val", "unit"], + [param(123, "s", id="[s]"), param(123, "D", id="[D]")]) + def test_coercion_assignment_timedelta(self, val, unit): + scalar = np.timedelta64(val, unit) + + # Unlike datetime64, timedelta allows the unsafe cast: + np.array(scalar, dtype="S6") + cast = np.array(scalar).astype("S6") + ass = np.ones((), dtype="S6") + ass[()] = scalar + expected = scalar.astype("S")[:6] + assert cast[()] == expected + assert ass[()] == expected + +class TestNested: + def test_nested_simple(self): + initial = [1.2] + nested = initial + for i in range(ncu.MAXDIMS - 1): + nested = [nested] + + arr = np.array(nested, dtype="float64") + assert arr.shape == (1,) * ncu.MAXDIMS + with pytest.raises(ValueError): + np.array([nested], dtype="float64") + + with pytest.raises(ValueError, match=".*would exceed the maximum"): + np.array([nested]) # user must ask for `object` explicitly + + arr = np.array([nested], dtype=object) + assert arr.dtype == np.dtype("O") + assert arr.shape == (1,) * ncu.MAXDIMS + assert arr.item() is initial + + def test_pathological_self_containing(self): + # Test that this also works for two nested sequences + l = [] + l.append(l) + arr = np.array([l, l, l], dtype=object) + assert arr.shape == (3,) + (1,) * (ncu.MAXDIMS - 1) + + # Also check a ragged case: + arr = np.array([l, [None], l], dtype=object) + assert arr.shape == (3, 1) + + @pytest.mark.parametrize("arraylike", arraylikes()) + def test_nested_arraylikes(self, arraylike): + # We try storing an array like into an array, but the array-like + # will have too many dimensions. This means the shape discovery + # decides that the array-like must be treated as an object (a special + # case of ragged discovery). The result will be an array with one + # dimension less than the maximum dimensions, and the array being + # assigned to it (which does work for object or if `float(arraylike)` + # works). + initial = arraylike(np.ones((1, 1))) + + nested = initial + for i in range(ncu.MAXDIMS - 1): + nested = [nested] + + with pytest.raises(ValueError, match=".*would exceed the maximum"): + # It will refuse to assign the array into + np.array(nested, dtype="float64") + + # If this is object, we end up assigning a (1, 1) array into (1,) + # (due to running out of dimensions), this is currently supported but + # a special case which is not ideal. + arr = np.array(nested, dtype=object) + assert arr.shape == (1,) * ncu.MAXDIMS + assert arr.item() == np.array(initial).item() + + @pytest.mark.parametrize("arraylike", arraylikes()) + def test_uneven_depth_ragged(self, arraylike): + arr = np.arange(4).reshape((2, 2)) + arr = arraylike(arr) + + # Array is ragged in the second dimension already: + out = np.array([arr, [arr]], dtype=object) + assert out.shape == (2,) + assert out[0] is arr + assert type(out[1]) is list + + # Array is ragged in the third dimension: + with pytest.raises(ValueError): + # This is a broadcast error during assignment, because + # the array shape would be (2, 2, 2) but `arr[0, 0] = arr` fails. + np.array([arr, [arr, arr]], dtype=object) + + def test_empty_sequence(self): + arr = np.array([[], [1], [[1]]], dtype=object) + assert arr.shape == (3,) + + # The empty sequence stops further dimension discovery, so the + # result shape will be (0,) which leads to an error during: + with pytest.raises(ValueError): + np.array([[], np.empty((0, 1))], dtype=object) + + def test_array_of_different_depths(self): + # When multiple arrays (or array-likes) are included in a + # sequences and have different depth, we currently discover + # as many dimensions as they share. (see also gh-17224) + arr = np.zeros((3, 2)) + mismatch_first_dim = np.zeros((1, 2)) + mismatch_second_dim = np.zeros((3, 3)) + + dtype, shape = ncu._discover_array_parameters( + [arr, mismatch_second_dim], dtype=np.dtype("O")) + assert shape == (2, 3) + + dtype, shape = ncu._discover_array_parameters( + [arr, mismatch_first_dim], dtype=np.dtype("O")) + assert shape == (2,) + # The second case is currently supported because the arrays + # can be stored as objects: + res = np.asarray([arr, mismatch_first_dim], dtype=np.dtype("O")) + assert res[0] is arr + assert res[1] is mismatch_first_dim + + +class TestBadSequences: + # These are tests for bad objects passed into `np.array`, in general + # these have undefined behaviour. In the old code they partially worked + # when now they will fail. We could (and maybe should) create a copy + # of all sequences to be safe against bad-actors. + + def test_growing_list(self): + # List to coerce, `mylist` will append to it during coercion + obj = [] + class mylist(list): + def __len__(self): + obj.append([1, 2]) + return super().__len__() + + obj.append(mylist([1, 2])) + + with pytest.raises(RuntimeError): + np.array(obj) + + # Note: We do not test a shrinking list. These do very evil things + # and the only way to fix them would be to copy all sequences. + # (which may be a real option in the future). + + def test_mutated_list(self): + # List to coerce, `mylist` will mutate the first element + obj = [] + class mylist(list): + def __len__(self): + obj[0] = [2, 3] # replace with a different list. + return super().__len__() + + obj.append([2, 3]) + obj.append(mylist([1, 2])) + # Does not crash: + np.array(obj) + + def test_replace_0d_array(self): + # List to coerce, `mylist` will mutate the first element + obj = [] + class baditem: + def __len__(self): + obj[0][0] = 2 # replace with a different list. + raise ValueError("not actually a sequence!") + + def __getitem__(self): + pass + + # Runs into a corner case in the new code, the `array(2)` is cached + # so replacing it invalidates the cache. + obj.append([np.array(2), baditem()]) + with pytest.raises(RuntimeError): + np.array(obj) + + +class TestArrayLikes: + @pytest.mark.parametrize("arraylike", arraylikes()) + def test_0d_object_special_case(self, arraylike): + arr = np.array(0.) + obj = arraylike(arr) + # A single array-like is always converted: + res = np.array(obj, dtype=object) + assert_array_equal(arr, res) + + # But a single 0-D nested array-like never: + res = np.array([obj], dtype=object) + assert res[0] is obj + + @pytest.mark.parametrize("arraylike", arraylikes()) + @pytest.mark.parametrize("arr", [np.array(0.), np.arange(4)]) + def test_object_assignment_special_case(self, arraylike, arr): + obj = arraylike(arr) + empty = np.arange(1, dtype=object) + empty[:] = [obj] + assert empty[0] is obj + + def test_0d_generic_special_case(self): + class ArraySubclass(np.ndarray): + def __float__(self): + raise TypeError("e.g. quantities raise on this") + + arr = np.array(0.) + obj = arr.view(ArraySubclass) + res = np.array(obj) + # The subclass is simply cast: + assert_array_equal(arr, res) + + # If the 0-D array-like is included, __float__ is currently + # guaranteed to be used. We may want to change that, quantities + # and masked arrays half make use of this. + with pytest.raises(TypeError): + np.array([obj]) + + # The same holds for memoryview: + obj = memoryview(arr) + res = np.array(obj) + assert_array_equal(arr, res) + with pytest.raises(ValueError): + # The error type does not matter much here. + np.array([obj]) + + def test_arraylike_classes(self): + # The classes of array-likes should generally be acceptable to be + # stored inside a numpy (object) array. This tests all of the + # special attributes (since all are checked during coercion). + arr = np.array(np.int64) + assert arr[()] is np.int64 + arr = np.array([np.int64]) + assert arr[0] is np.int64 + + # This also works for properties/unbound methods: + class ArrayLike: + @property + def __array_interface__(self): + pass + + @property + def __array_struct__(self): + pass + + def __array__(self, dtype=None, copy=None): + pass + + arr = np.array(ArrayLike) + assert arr[()] is ArrayLike + arr = np.array([ArrayLike]) + assert arr[0] is ArrayLike + + @pytest.mark.skipif(not IS_64BIT, reason="Needs 64bit platform") + def test_too_large_array_error_paths(self): + """Test the error paths, including for memory leaks""" + arr = np.array(0, dtype="uint8") + # Guarantees that a contiguous copy won't work: + arr = np.broadcast_to(arr, 2**62) + + for i in range(5): + # repeat, to ensure caching cannot have an effect: + with pytest.raises(MemoryError): + np.array(arr) + with pytest.raises(MemoryError): + np.array([arr]) + + @pytest.mark.parametrize("attribute", + ["__array_interface__", "__array__", "__array_struct__"]) + @pytest.mark.parametrize("error", [RecursionError, MemoryError]) + def test_bad_array_like_attributes(self, attribute, error): + # RecursionError and MemoryError are considered fatal. All errors + # (except AttributeError) should probably be raised in the future, + # but shapely made use of it, so it will require a deprecation. + + class BadInterface: + def __getattr__(self, attr): + if attr == attribute: + raise error + super().__getattr__(attr) + + with pytest.raises(error): + np.array(BadInterface()) + + @pytest.mark.parametrize("error", [RecursionError, MemoryError]) + def test_bad_array_like_bad_length(self, error): + # RecursionError and MemoryError are considered "critical" in + # sequences. We could expand this more generally though. (NumPy 1.20) + class BadSequence: + def __len__(self): + raise error + def __getitem__(self): + # must have getitem to be a Sequence + return 1 + + with pytest.raises(error): + np.array(BadSequence()) + + def test_array_interface_descr_optional(self): + # The descr should be optional regression test for gh-27249 + arr = np.ones(10, dtype="V10") + iface = arr.__array_interface__ + iface.pop("descr") + + class MyClass: + __array_interface__ = iface + + assert_array_equal(np.asarray(MyClass), arr) + + +class TestAsArray: + """Test expected behaviors of ``asarray``.""" + + def test_dtype_identity(self): + """Confirm the intended behavior for *dtype* kwarg. + + The result of ``asarray()`` should have the dtype provided through the + keyword argument, when used. This forces unique array handles to be + produced for unique np.dtype objects, but (for equivalent dtypes), the + underlying data (the base object) is shared with the original array + object. + + Ref https://github.com/numpy/numpy/issues/1468 + """ + int_array = np.array([1, 2, 3], dtype='i') + assert np.asarray(int_array) is int_array + + # The character code resolves to the singleton dtype object provided + # by the numpy package. + assert np.asarray(int_array, dtype='i') is int_array + + # Derive a dtype from n.dtype('i'), but add a metadata object to force + # the dtype to be distinct. + unequal_type = np.dtype('i', metadata={'spam': True}) + annotated_int_array = np.asarray(int_array, dtype=unequal_type) + assert annotated_int_array is not int_array + assert annotated_int_array.base is int_array + # Create an equivalent descriptor with a new and distinct dtype + # instance. + equivalent_requirement = np.dtype('i', metadata={'spam': True}) + annotated_int_array_alt = np.asarray(annotated_int_array, + dtype=equivalent_requirement) + assert unequal_type == equivalent_requirement + assert unequal_type is not equivalent_requirement + assert annotated_int_array_alt is not annotated_int_array + assert annotated_int_array_alt.dtype is equivalent_requirement + + # Check the same logic for a pair of C types whose equivalence may vary + # between computing environments. + # Find an equivalent pair. + integer_type_codes = ('i', 'l', 'q') + integer_dtypes = [np.dtype(code) for code in integer_type_codes] + typeA = None + typeB = None + for typeA, typeB in permutations(integer_dtypes, r=2): + if typeA == typeB: + assert typeA is not typeB + break + assert isinstance(typeA, np.dtype) and isinstance(typeB, np.dtype) + + # These ``asarray()`` calls may produce a new view or a copy, + # but never the same object. + long_int_array = np.asarray(int_array, dtype='l') + long_long_int_array = np.asarray(int_array, dtype='q') + assert long_int_array is not int_array + assert long_long_int_array is not int_array + assert np.asarray(long_int_array, dtype='q') is not long_int_array + array_a = np.asarray(int_array, dtype=typeA) + assert typeA == typeB + assert typeA is not typeB + assert array_a.dtype is typeA + assert array_a is not np.asarray(array_a, dtype=typeB) + assert np.asarray(array_a, dtype=typeB).dtype is typeB + assert array_a is np.asarray(array_a, dtype=typeB).base + + +class TestSpecialAttributeLookupFailure: + # An exception was raised while fetching the attribute + + class WeirdArrayLike: + @property + def __array__(self, dtype=None, copy=None): + raise RuntimeError("oops!") + + class WeirdArrayInterface: + @property + def __array_interface__(self): + raise RuntimeError("oops!") + + def test_deprecated(self): + with pytest.raises(RuntimeError): + np.array(self.WeirdArrayLike()) + with pytest.raises(RuntimeError): + np.array(self.WeirdArrayInterface()) + + +def test_subarray_from_array_construction(): + # Arrays are more complex, since they "broadcast" on success: + arr = np.array([1, 2]) + + res = arr.astype("2i") + assert_array_equal(res, [[1, 1], [2, 2]]) + + res = np.array(arr, dtype="(2,)i") + + assert_array_equal(res, [[1, 1], [2, 2]]) + + res = np.array([[(1,), (2,)], arr], dtype="2i") + assert_array_equal(res, [[[1, 1], [2, 2]], [[1, 1], [2, 2]]]) + + # Also try a multi-dimensional example: + arr = np.arange(5 * 2).reshape(5, 2) + expected = np.broadcast_to(arr[:, :, np.newaxis, np.newaxis], (5, 2, 2, 2)) + + res = arr.astype("(2,2)f") + assert_array_equal(res, expected) + + res = np.array(arr, dtype="(2,2)f") + assert_array_equal(res, expected) + + +def test_empty_string(): + # Empty strings are unfortunately often converted to S1 and we need to + # make sure we are filling the S1 and not the (possibly) detected S0 + # result. This should likely just return S0 and if not maybe the decision + # to return S1 should be moved. + res = np.array([""] * 10, dtype="S") + assert_array_equal(res, np.array("\0", "S1")) + assert res.dtype == "S1" + + arr = np.array([""] * 10, dtype=object) + + res = arr.astype("S") + assert_array_equal(res, b"") + assert res.dtype == "S1" + + res = np.array(arr, dtype="S") + assert_array_equal(res, b"") + # TODO: This is arguably weird/wrong, but seems old: + assert res.dtype == f"S{np.dtype('O').itemsize}" + + res = np.array([[""] * 10, arr], dtype="S") + assert_array_equal(res, b"") + assert res.shape == (2, 10) + assert res.dtype == "S1" diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_interface.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_interface.py new file mode 100644 index 0000000000000000000000000000000000000000..ae719568a4b2057457aa9b2c1fced2c3b18c9d89 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_array_interface.py @@ -0,0 +1,219 @@ +import sys +import pytest +import numpy as np +from numpy.testing import extbuild, IS_WASM, IS_EDITABLE + + +@pytest.fixture +def get_module(tmp_path): + """ Some codes to generate data and manage temporary buffers use when + sharing with numpy via the array interface protocol. + """ + if sys.platform.startswith('cygwin'): + pytest.skip('link fails on cygwin') + if IS_WASM: + pytest.skip("Can't build module inside Wasm") + if IS_EDITABLE: + pytest.skip("Can't build module for editable install") + + prologue = ''' + #include + #define NPY_NO_DEPRECATED_API NPY_1_7_API_VERSION + #include + #include + #include + + NPY_NO_EXPORT + void delete_array_struct(PyObject *cap) { + + /* get the array interface structure */ + PyArrayInterface *inter = (PyArrayInterface*) + PyCapsule_GetPointer(cap, NULL); + + /* get the buffer by which data was shared */ + double *ptr = (double*)PyCapsule_GetContext(cap); + + /* for the purposes of the regression test set the elements + to nan */ + for (npy_intp i = 0; i < inter->shape[0]; ++i) + ptr[i] = nan(""); + + /* free the shared buffer */ + free(ptr); + + /* free the array interface structure */ + free(inter->shape); + free(inter); + + fprintf(stderr, "delete_array_struct\\ncap = %ld inter = %ld" + " ptr = %ld\\n", (long)cap, (long)inter, (long)ptr); + } + ''' + + functions = [ + ("new_array_struct", "METH_VARARGS", """ + + long long n_elem = 0; + double value = 0.0; + + if (!PyArg_ParseTuple(args, "Ld", &n_elem, &value)) { + Py_RETURN_NONE; + } + + /* allocate and initialize the data to share with numpy */ + long long n_bytes = n_elem*sizeof(double); + double *data = (double*)malloc(n_bytes); + + if (!data) { + PyErr_Format(PyExc_MemoryError, + "Failed to malloc %lld bytes", n_bytes); + + Py_RETURN_NONE; + } + + for (long long i = 0; i < n_elem; ++i) { + data[i] = value; + } + + /* calculate the shape and stride */ + int nd = 1; + + npy_intp *ss = (npy_intp*)malloc(2*nd*sizeof(npy_intp)); + npy_intp *shape = ss; + npy_intp *stride = ss + nd; + + shape[0] = n_elem; + stride[0] = sizeof(double); + + /* construct the array interface */ + PyArrayInterface *inter = (PyArrayInterface*) + malloc(sizeof(PyArrayInterface)); + + memset(inter, 0, sizeof(PyArrayInterface)); + + inter->two = 2; + inter->nd = nd; + inter->typekind = 'f'; + inter->itemsize = sizeof(double); + inter->shape = shape; + inter->strides = stride; + inter->data = data; + inter->flags = NPY_ARRAY_WRITEABLE | NPY_ARRAY_NOTSWAPPED | + NPY_ARRAY_ALIGNED | NPY_ARRAY_C_CONTIGUOUS; + + /* package into a capsule */ + PyObject *cap = PyCapsule_New(inter, NULL, delete_array_struct); + + /* save the pointer to the data */ + PyCapsule_SetContext(cap, data); + + fprintf(stderr, "new_array_struct\\ncap = %ld inter = %ld" + " ptr = %ld\\n", (long)cap, (long)inter, (long)data); + + return cap; + """) + ] + + more_init = "import_array();" + + try: + import array_interface_testing + return array_interface_testing + except ImportError: + pass + + # if it does not exist, build and load it + return extbuild.build_and_import_extension('array_interface_testing', + functions, + prologue=prologue, + include_dirs=[np.get_include()], + build_dir=tmp_path, + more_init=more_init) + + +@pytest.mark.slow +def test_cstruct(get_module): + + class data_source: + """ + This class is for testing the timing of the PyCapsule destructor + invoked when numpy release its reference to the shared data as part of + the numpy array interface protocol. If the PyCapsule destructor is + called early the shared data is freed and invalid memory accesses will + occur. + """ + + def __init__(self, size, value): + self.size = size + self.value = value + + @property + def __array_struct__(self): + return get_module.new_array_struct(self.size, self.value) + + # write to the same stream as the C code + stderr = sys.__stderr__ + + # used to validate the shared data. + expected_value = -3.1415 + multiplier = -10000.0 + + # create some data to share with numpy via the array interface + # assign the data an expected value. + stderr.write(' ---- create an object to share data ---- \n') + buf = data_source(256, expected_value) + stderr.write(' ---- OK!\n\n') + + # share the data + stderr.write(' ---- share data via the array interface protocol ---- \n') + arr = np.array(buf, copy=False) + stderr.write('arr.__array_interface___ = %s\n' % ( + str(arr.__array_interface__))) + stderr.write('arr.base = %s\n' % (str(arr.base))) + stderr.write(' ---- OK!\n\n') + + # release the source of the shared data. this will not release the data + # that was shared with numpy, that is done in the PyCapsule destructor. + stderr.write(' ---- destroy the object that shared data ---- \n') + buf = None + stderr.write(' ---- OK!\n\n') + + # check that we got the expected data. If the PyCapsule destructor we + # defined was prematurely called then this test will fail because our + # destructor sets the elements of the array to NaN before free'ing the + # buffer. Reading the values here may also cause a SEGV + assert np.allclose(arr, expected_value) + + # read the data. If the PyCapsule destructor we defined was prematurely + # called then reading the values here may cause a SEGV and will be reported + # as invalid reads by valgrind + stderr.write(' ---- read shared data ---- \n') + stderr.write('arr = %s\n' % (str(arr))) + stderr.write(' ---- OK!\n\n') + + # write to the shared buffer. If the shared data was prematurely deleted + # this will may cause a SEGV and valgrind will report invalid writes + stderr.write(' ---- modify shared data ---- \n') + arr *= multiplier + expected_value *= multiplier + stderr.write('arr.__array_interface___ = %s\n' % ( + str(arr.__array_interface__))) + stderr.write('arr.base = %s\n' % (str(arr.base))) + stderr.write(' ---- OK!\n\n') + + # read the data. If the shared data was prematurely deleted this + # will may cause a SEGV and valgrind will report invalid reads + stderr.write(' ---- read modified shared data ---- \n') + stderr.write('arr = %s\n' % (str(arr))) + stderr.write(' ---- OK!\n\n') + + # check that we got the expected data. If the PyCapsule destructor we + # defined was prematurely called then this test will fail because our + # destructor sets the elements of the array to NaN before free'ing the + # buffer. Reading the values here may also cause a SEGV + assert np.allclose(arr, expected_value) + + # free the shared data, the PyCapsule destructor should run here + stderr.write(' ---- free shared data ---- \n') + arr = None + stderr.write(' ---- OK!\n\n') diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arraymethod.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arraymethod.py new file mode 100644 index 0000000000000000000000000000000000000000..6083381af858d6fce4347a4b043ffc6883ec82ec --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arraymethod.py @@ -0,0 +1,86 @@ +""" +This file tests the generic aspects of ArrayMethod. At the time of writing +this is private API, but when added, public API may be added here. +""" + +from __future__ import annotations + +import types +from typing import Any + +import pytest + +import numpy as np +from numpy._core._multiarray_umath import _get_castingimpl as get_castingimpl + + +class TestResolveDescriptors: + # Test mainly error paths of the resolve_descriptors function, + # note that the `casting_unittests` tests exercise this non-error paths. + + # Casting implementations are the main/only current user: + method = get_castingimpl(type(np.dtype("d")), type(np.dtype("f"))) + + @pytest.mark.parametrize("args", [ + (True,), # Not a tuple. + ((None,)), # Too few elements + ((None, None, None),), # Too many + ((None, None),), # Input dtype is None, which is invalid. + ((np.dtype("d"), True),), # Output dtype is not a dtype + ((np.dtype("f"), None),), # Input dtype does not match method + ]) + def test_invalid_arguments(self, args): + with pytest.raises(TypeError): + self.method._resolve_descriptors(*args) + + +class TestSimpleStridedCall: + # Test mainly error paths of the resolve_descriptors function, + # note that the `casting_unittests` tests exercise this non-error paths. + + # Casting implementations are the main/only current user: + method = get_castingimpl(type(np.dtype("d")), type(np.dtype("f"))) + + @pytest.mark.parametrize(["args", "error"], [ + ((True,), TypeError), # Not a tuple + (((None,),), TypeError), # Too few elements + ((None, None), TypeError), # Inputs are not arrays. + (((None, None, None),), TypeError), # Too many + (((np.arange(3), np.arange(3)),), TypeError), # Incorrect dtypes + (((np.ones(3, dtype=">d"), np.ones(3, dtype=" None: + """Test `ndarray.__class_getitem__`.""" + alias = cls[Any, Any] + assert isinstance(alias, types.GenericAlias) + assert alias.__origin__ is cls + + @pytest.mark.parametrize("arg_len", range(4)) + def test_subscript_tup(self, cls: type[np.ndarray], arg_len: int) -> None: + arg_tup = (Any,) * arg_len + if arg_len in (1, 2): + assert cls[arg_tup] + else: + match = f"Too {'few' if arg_len == 0 else 'many'} arguments" + with pytest.raises(TypeError, match=match): + cls[arg_tup] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arrayobject.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arrayobject.py new file mode 100644 index 0000000000000000000000000000000000000000..ffa1ba001776a7fde500f82b5ef2521e1c935c60 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arrayobject.py @@ -0,0 +1,75 @@ +import pytest + +import numpy as np +from numpy.testing import assert_array_equal + + +def test_matrix_transpose_raises_error_for_1d(): + msg = "matrix transpose with ndim < 2 is undefined" + arr = np.arange(48) + with pytest.raises(ValueError, match=msg): + arr.mT + + +def test_matrix_transpose_equals_transpose_2d(): + arr = np.arange(48).reshape((6, 8)) + assert_array_equal(arr.T, arr.mT) + + +ARRAY_SHAPES_TO_TEST = ( + (5, 2), + (5, 2, 3), + (5, 2, 3, 4), +) + + +@pytest.mark.parametrize("shape", ARRAY_SHAPES_TO_TEST) +def test_matrix_transpose_equals_swapaxes(shape): + num_of_axes = len(shape) + vec = np.arange(shape[-1]) + arr = np.broadcast_to(vec, shape) + tgt = np.swapaxes(arr, num_of_axes - 2, num_of_axes - 1) + mT = arr.mT + assert_array_equal(tgt, mT) + + +class MyArr(np.ndarray): + def __array_wrap__(self, arr, context=None, return_scalar=None): + return super().__array_wrap__(arr, context, return_scalar) + + +class MyArrNoWrap(np.ndarray): + pass + + +@pytest.mark.parametrize("subclass_self", [np.ndarray, MyArr, MyArrNoWrap]) +@pytest.mark.parametrize("subclass_arr", [np.ndarray, MyArr, MyArrNoWrap]) +def test_array_wrap(subclass_self, subclass_arr): + # NumPy should allow `__array_wrap__` to be called on arrays, it's logic + # is designed in a way that: + # + # * Subclasses never return scalars by default (to preserve their + # information). They can choose to if they wish. + # * NumPy returns scalars, if `return_scalar` is passed as True to allow + # manual calls to `arr.__array_wrap__` to do the right thing. + # * The type of the input should be ignored (it should be a base-class + # array, but I am not sure this is guaranteed). + + arr = np.arange(3).view(subclass_self) + + arr0d = np.array(3, dtype=np.int8).view(subclass_arr) + # With third argument True, ndarray allows "decay" to scalar. + # (I don't think NumPy would pass `None`, but it seems clear to support) + if subclass_self is np.ndarray: + assert type(arr.__array_wrap__(arr0d, None, True)) is np.int8 + else: + assert type(arr.__array_wrap__(arr0d, None, True)) is type(arr) + + # Otherwise, result should be viewed as the subclass + assert type(arr.__array_wrap__(arr0d)) is type(arr) + assert type(arr.__array_wrap__(arr0d, None, None)) is type(arr) + assert type(arr.__array_wrap__(arr0d, None, False)) is type(arr) + + # Non 0-D array can't be converted to scalar, so we ignore that + arr1d = np.array([3], dtype=np.int8).view(subclass_arr) + assert type(arr.__array_wrap__(arr1d, None, True)) is type(arr) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arrayprint.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arrayprint.py new file mode 100644 index 0000000000000000000000000000000000000000..aebfd6d087ab49f9c1bf7494ab473e1448537319 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_arrayprint.py @@ -0,0 +1,1281 @@ +import sys +import gc +from hypothesis import given +from hypothesis.extra import numpy as hynp +import pytest + +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_warns, HAS_REFCOUNT, + assert_raises_regex, IS_WASM + ) +from numpy.testing._private.utils import run_threaded +from numpy._core.arrayprint import _typelessdata +import textwrap + +class TestArrayRepr: + def test_nan_inf(self): + x = np.array([np.nan, np.inf]) + assert_equal(repr(x), 'array([nan, inf])') + + def test_subclass(self): + class sub(np.ndarray): + pass + + # one dimensional + x1d = np.array([1, 2]).view(sub) + assert_equal(repr(x1d), 'sub([1, 2])') + + # two dimensional + x2d = np.array([[1, 2], [3, 4]]).view(sub) + assert_equal(repr(x2d), + 'sub([[1, 2],\n' + ' [3, 4]])') + + # two dimensional with flexible dtype + xstruct = np.ones((2,2), dtype=[('a', ' 1) + y = sub(None) + x[()] = y + y[()] = x + assert_equal(repr(x), + 'sub(sub(sub(..., dtype=object), dtype=object), dtype=object)') + assert_equal(str(x), '...') + x[()] = 0 # resolve circular references for garbage collector + + # nested 0d-subclass-object + x = sub(None) + x[()] = sub(None) + assert_equal(repr(x), 'sub(sub(None, dtype=object), dtype=object)') + assert_equal(str(x), 'None') + + # gh-10663 + class DuckCounter(np.ndarray): + def __getitem__(self, item): + result = super().__getitem__(item) + if not isinstance(result, DuckCounter): + result = result[...].view(DuckCounter) + return result + + def to_string(self): + return {0: 'zero', 1: 'one', 2: 'two'}.get(self.item(), 'many') + + def __str__(self): + if self.shape == (): + return self.to_string() + else: + fmt = {'all': lambda x: x.to_string()} + return np.array2string(self, formatter=fmt) + + dc = np.arange(5).view(DuckCounter) + assert_equal(str(dc), "[zero one two many many]") + assert_equal(str(dc[0]), "zero") + + def test_self_containing(self): + arr0d = np.array(None) + arr0d[()] = arr0d + assert_equal(repr(arr0d), + 'array(array(..., dtype=object), dtype=object)') + arr0d[()] = 0 # resolve recursion for garbage collector + + arr1d = np.array([None, None]) + arr1d[1] = arr1d + assert_equal(repr(arr1d), + 'array([None, array(..., dtype=object)], dtype=object)') + arr1d[1] = 0 # resolve recursion for garbage collector + + first = np.array(None) + second = np.array(None) + first[()] = second + second[()] = first + assert_equal(repr(first), + 'array(array(array(..., dtype=object), dtype=object), dtype=object)') + first[()] = 0 # resolve circular references for garbage collector + + def test_containing_list(self): + # printing square brackets directly would be ambiguous + arr1d = np.array([None, None]) + arr1d[0] = [1, 2] + arr1d[1] = [3] + assert_equal(repr(arr1d), + 'array([list([1, 2]), list([3])], dtype=object)') + + def test_void_scalar_recursion(self): + # gh-9345 + repr(np.void(b'test')) # RecursionError ? + + def test_fieldless_structured(self): + # gh-10366 + no_fields = np.dtype([]) + arr_no_fields = np.empty(4, dtype=no_fields) + assert_equal(repr(arr_no_fields), 'array([(), (), (), ()], dtype=[])') + + +class TestComplexArray: + def test_str(self): + rvals = [0, 1, -1, np.inf, -np.inf, np.nan] + cvals = [complex(rp, ip) for rp in rvals for ip in rvals] + dtypes = [np.complex64, np.cdouble, np.clongdouble] + actual = [str(np.array([c], dt)) for c in cvals for dt in dtypes] + wanted = [ + '[0.+0.j]', '[0.+0.j]', '[0.+0.j]', + '[0.+1.j]', '[0.+1.j]', '[0.+1.j]', + '[0.-1.j]', '[0.-1.j]', '[0.-1.j]', + '[0.+infj]', '[0.+infj]', '[0.+infj]', + '[0.-infj]', '[0.-infj]', '[0.-infj]', + '[0.+nanj]', '[0.+nanj]', '[0.+nanj]', + '[1.+0.j]', '[1.+0.j]', '[1.+0.j]', + '[1.+1.j]', '[1.+1.j]', '[1.+1.j]', + '[1.-1.j]', '[1.-1.j]', '[1.-1.j]', + '[1.+infj]', '[1.+infj]', '[1.+infj]', + '[1.-infj]', '[1.-infj]', '[1.-infj]', + '[1.+nanj]', '[1.+nanj]', '[1.+nanj]', + '[-1.+0.j]', '[-1.+0.j]', '[-1.+0.j]', + '[-1.+1.j]', '[-1.+1.j]', '[-1.+1.j]', + '[-1.-1.j]', '[-1.-1.j]', '[-1.-1.j]', + '[-1.+infj]', '[-1.+infj]', '[-1.+infj]', + '[-1.-infj]', '[-1.-infj]', '[-1.-infj]', + '[-1.+nanj]', '[-1.+nanj]', '[-1.+nanj]', + '[inf+0.j]', '[inf+0.j]', '[inf+0.j]', + '[inf+1.j]', '[inf+1.j]', '[inf+1.j]', + '[inf-1.j]', '[inf-1.j]', '[inf-1.j]', + '[inf+infj]', '[inf+infj]', '[inf+infj]', + '[inf-infj]', '[inf-infj]', '[inf-infj]', + '[inf+nanj]', '[inf+nanj]', '[inf+nanj]', + '[-inf+0.j]', '[-inf+0.j]', '[-inf+0.j]', + '[-inf+1.j]', '[-inf+1.j]', '[-inf+1.j]', + '[-inf-1.j]', '[-inf-1.j]', '[-inf-1.j]', + '[-inf+infj]', '[-inf+infj]', '[-inf+infj]', + '[-inf-infj]', '[-inf-infj]', '[-inf-infj]', + '[-inf+nanj]', '[-inf+nanj]', '[-inf+nanj]', + '[nan+0.j]', '[nan+0.j]', '[nan+0.j]', + '[nan+1.j]', '[nan+1.j]', '[nan+1.j]', + '[nan-1.j]', '[nan-1.j]', '[nan-1.j]', + '[nan+infj]', '[nan+infj]', '[nan+infj]', + '[nan-infj]', '[nan-infj]', '[nan-infj]', + '[nan+nanj]', '[nan+nanj]', '[nan+nanj]'] + + for res, val in zip(actual, wanted): + assert_equal(res, val) + +class TestArray2String: + def test_basic(self): + """Basic test of array2string.""" + a = np.arange(3) + assert_(np.array2string(a) == '[0 1 2]') + assert_(np.array2string(a, max_line_width=4, legacy='1.13') == '[0 1\n 2]') + assert_(np.array2string(a, max_line_width=4) == '[0\n 1\n 2]') + + def test_unexpected_kwarg(self): + # ensure than an appropriate TypeError + # is raised when array2string receives + # an unexpected kwarg + + with assert_raises_regex(TypeError, 'nonsense'): + np.array2string(np.array([1, 2, 3]), + nonsense=None) + + def test_format_function(self): + """Test custom format function for each element in array.""" + def _format_function(x): + if np.abs(x) < 1: + return '.' + elif np.abs(x) < 2: + return 'o' + else: + return 'O' + + x = np.arange(3) + x_hex = "[0x0 0x1 0x2]" + x_oct = "[0o0 0o1 0o2]" + assert_(np.array2string(x, formatter={'all':_format_function}) == + "[. o O]") + assert_(np.array2string(x, formatter={'int_kind':_format_function}) == + "[. o O]") + assert_(np.array2string(x, formatter={'all':lambda x: "%.4f" % x}) == + "[0.0000 1.0000 2.0000]") + assert_equal(np.array2string(x, formatter={'int':lambda x: hex(x)}), + x_hex) + assert_equal(np.array2string(x, formatter={'int':lambda x: oct(x)}), + x_oct) + + x = np.arange(3.) + assert_(np.array2string(x, formatter={'float_kind':lambda x: "%.2f" % x}) == + "[0.00 1.00 2.00]") + assert_(np.array2string(x, formatter={'float':lambda x: "%.2f" % x}) == + "[0.00 1.00 2.00]") + + s = np.array(['abc', 'def']) + assert_(np.array2string(s, formatter={'numpystr':lambda s: s*2}) == + '[abcabc defdef]') + + def test_structure_format_mixed(self): + dt = np.dtype([('name', np.str_, 16), ('grades', np.float64, (2,))]) + x = np.array([('Sarah', (8.0, 7.0)), ('John', (6.0, 7.0))], dtype=dt) + assert_equal(np.array2string(x), + "[('Sarah', [8., 7.]) ('John', [6., 7.])]") + + np.set_printoptions(legacy='1.13') + try: + # for issue #5692 + A = np.zeros(shape=10, dtype=[("A", "M8[s]")]) + A[5:].fill(np.datetime64('NaT')) + assert_equal( + np.array2string(A), + textwrap.dedent("""\ + [('1970-01-01T00:00:00',) ('1970-01-01T00:00:00',) ('1970-01-01T00:00:00',) + ('1970-01-01T00:00:00',) ('1970-01-01T00:00:00',) ('NaT',) ('NaT',) + ('NaT',) ('NaT',) ('NaT',)]""") + ) + finally: + np.set_printoptions(legacy=False) + + # same again, but with non-legacy behavior + assert_equal( + np.array2string(A), + textwrap.dedent("""\ + [('1970-01-01T00:00:00',) ('1970-01-01T00:00:00',) + ('1970-01-01T00:00:00',) ('1970-01-01T00:00:00',) + ('1970-01-01T00:00:00',) ( 'NaT',) + ( 'NaT',) ( 'NaT',) + ( 'NaT',) ( 'NaT',)]""") + ) + + # and again, with timedeltas + A = np.full(10, 123456, dtype=[("A", "m8[s]")]) + A[5:].fill(np.datetime64('NaT')) + assert_equal( + np.array2string(A), + textwrap.dedent("""\ + [(123456,) (123456,) (123456,) (123456,) (123456,) ( 'NaT',) ( 'NaT',) + ( 'NaT',) ( 'NaT',) ( 'NaT',)]""") + ) + + def test_structure_format_int(self): + # See #8160 + struct_int = np.array([([1, -1],), ([123, 1],)], + dtype=[('B', 'i4', 2)]) + assert_equal(np.array2string(struct_int), + "[([ 1, -1],) ([123, 1],)]") + struct_2dint = np.array([([[0, 1], [2, 3]],), ([[12, 0], [0, 0]],)], + dtype=[('B', 'i4', (2, 2))]) + assert_equal(np.array2string(struct_2dint), + "[([[ 0, 1], [ 2, 3]],) ([[12, 0], [ 0, 0]],)]") + + def test_structure_format_float(self): + # See #8172 + array_scalar = np.array( + (1., 2.1234567890123456789, 3.), dtype=('f8,f8,f8')) + assert_equal(np.array2string(array_scalar), "(1., 2.12345679, 3.)") + + def test_unstructured_void_repr(self): + a = np.array([27, 91, 50, 75, 7, 65, 10, 8, + 27, 91, 51, 49,109, 82,101,100], dtype='u1').view('V8') + assert_equal(repr(a[0]), + r"np.void(b'\x1B\x5B\x32\x4B\x07\x41\x0A\x08')") + assert_equal(str(a[0]), r"b'\x1B\x5B\x32\x4B\x07\x41\x0A\x08'") + assert_equal(repr(a), + r"array([b'\x1B\x5B\x32\x4B\x07\x41\x0A\x08'," "\n" + r" b'\x1B\x5B\x33\x31\x6D\x52\x65\x64'], dtype='|V8')") + + assert_equal(eval(repr(a), vars(np)), a) + assert_equal(eval(repr(a[0]), dict(np=np)), a[0]) + + def test_edgeitems_kwarg(self): + # previously the global print options would be taken over the kwarg + arr = np.zeros(3, int) + assert_equal( + np.array2string(arr, edgeitems=1, threshold=0), + "[0 ... 0]" + ) + + def test_summarize_1d(self): + A = np.arange(1001) + strA = '[ 0 1 2 ... 998 999 1000]' + assert_equal(str(A), strA) + + reprA = 'array([ 0, 1, 2, ..., 998, 999, 1000])' + try: + np.set_printoptions(legacy='2.1') + assert_equal(repr(A), reprA) + finally: + np.set_printoptions(legacy=False) + + assert_equal(repr(A), reprA.replace(')', ', shape=(1001,))')) + + def test_summarize_2d(self): + A = np.arange(1002).reshape(2, 501) + strA = '[[ 0 1 2 ... 498 499 500]\n' \ + ' [ 501 502 503 ... 999 1000 1001]]' + assert_equal(str(A), strA) + + reprA = 'array([[ 0, 1, 2, ..., 498, 499, 500],\n' \ + ' [ 501, 502, 503, ..., 999, 1000, 1001]])' + try: + np.set_printoptions(legacy='2.1') + assert_equal(repr(A), reprA) + finally: + np.set_printoptions(legacy=False) + + assert_equal(repr(A), reprA.replace(')', ', shape=(2, 501))')) + + def test_summarize_2d_dtype(self): + A = np.arange(1002, dtype='i2').reshape(2, 501) + strA = '[[ 0 1 2 ... 498 499 500]\n' \ + ' [ 501 502 503 ... 999 1000 1001]]' + assert_equal(str(A), strA) + + reprA = ('array([[ 0, 1, 2, ..., 498, 499, 500],\n' + ' [ 501, 502, 503, ..., 999, 1000, 1001]],\n' + ' shape=(2, 501), dtype=int16)') + assert_equal(repr(A), reprA) + + def test_summarize_structure(self): + A = (np.arange(2002, dtype="i8", (2, 1001))]) + strB = "[([[1, 1, 1, ..., 1, 1, 1], [1, 1, 1, ..., 1, 1, 1]],)]" + assert_equal(str(B), strB) + + reprB = ( + "array([([[1, 1, 1, ..., 1, 1, 1], [1, 1, 1, ..., 1, 1, 1]],)],\n" + " dtype=[('i', '>i8', (2, 1001))])" + ) + assert_equal(repr(B), reprB) + + C = (np.arange(22, dtype=" 1: + # if the type is >1 byte, the non-native endian version + # must show endianness. + assert non_native_repr != native_repr + assert f"dtype='{non_native_dtype.byteorder}" in non_native_repr + + def test_linewidth_repr(self): + a = np.full(7, fill_value=2) + np.set_printoptions(linewidth=17) + assert_equal( + repr(a), + textwrap.dedent("""\ + array([2, 2, 2, + 2, 2, 2, + 2])""") + ) + np.set_printoptions(linewidth=17, legacy='1.13') + assert_equal( + repr(a), + textwrap.dedent("""\ + array([2, 2, 2, + 2, 2, 2, 2])""") + ) + + a = np.full(8, fill_value=2) + + np.set_printoptions(linewidth=18, legacy=False) + assert_equal( + repr(a), + textwrap.dedent("""\ + array([2, 2, 2, + 2, 2, 2, + 2, 2])""") + ) + + np.set_printoptions(linewidth=18, legacy='1.13') + assert_equal( + repr(a), + textwrap.dedent("""\ + array([2, 2, 2, 2, + 2, 2, 2, 2])""") + ) + + def test_linewidth_str(self): + a = np.full(18, fill_value=2) + np.set_printoptions(linewidth=18) + assert_equal( + str(a), + textwrap.dedent("""\ + [2 2 2 2 2 2 2 2 + 2 2 2 2 2 2 2 2 + 2 2]""") + ) + np.set_printoptions(linewidth=18, legacy='1.13') + assert_equal( + str(a), + textwrap.dedent("""\ + [2 2 2 2 2 2 2 2 2 + 2 2 2 2 2 2 2 2 2]""") + ) + + def test_edgeitems(self): + np.set_printoptions(edgeitems=1, threshold=1) + a = np.arange(27).reshape((3, 3, 3)) + assert_equal( + repr(a), + textwrap.dedent("""\ + array([[[ 0, ..., 2], + ..., + [ 6, ..., 8]], + + ..., + + [[18, ..., 20], + ..., + [24, ..., 26]]], shape=(3, 3, 3))""") + ) + + b = np.zeros((3, 3, 1, 1)) + assert_equal( + repr(b), + textwrap.dedent("""\ + array([[[[0.]], + + ..., + + [[0.]]], + + + ..., + + + [[[0.]], + + ..., + + [[0.]]]], shape=(3, 3, 1, 1))""") + ) + + # 1.13 had extra trailing spaces, and was missing newlines + try: + np.set_printoptions(legacy='1.13') + assert_equal(repr(a), ( + "array([[[ 0, ..., 2],\n" + " ..., \n" + " [ 6, ..., 8]],\n" + "\n" + " ..., \n" + " [[18, ..., 20],\n" + " ..., \n" + " [24, ..., 26]]])") + ) + assert_equal(repr(b), ( + "array([[[[ 0.]],\n" + "\n" + " ..., \n" + " [[ 0.]]],\n" + "\n" + "\n" + " ..., \n" + " [[[ 0.]],\n" + "\n" + " ..., \n" + " [[ 0.]]]])") + ) + finally: + np.set_printoptions(legacy=False) + + def test_edgeitems_structured(self): + np.set_printoptions(edgeitems=1, threshold=1) + A = np.arange(5*2*3, dtype="f4')])"), + (np.void(b'a'), r"void(b'\x61')", r"np.void(b'\x61')"), + ]) +def test_scalar_repr_special(scalar, legacy_repr, representation): + # Test NEP 51 scalar repr (and legacy option) for numeric types + assert repr(scalar) == representation + + with np.printoptions(legacy="1.25"): + assert repr(scalar) == legacy_repr + +def test_scalar_void_float_str(): + # Note that based on this currently we do not print the same as a tuple + # would, since the tuple would include the repr() inside for floats, but + # we do not do that. + scalar = np.void((1.0, 2.0), dtype=[('f0', 'f4')]) + assert str(scalar) == "(1.0, 2.0)" + +@pytest.mark.skipif(IS_WASM, reason="wasm doesn't support asyncio") +@pytest.mark.skipif(sys.version_info < (3, 11), + reason="asyncio.barrier was added in Python 3.11") +def test_printoptions_asyncio_safe(): + asyncio = pytest.importorskip("asyncio") + + b = asyncio.Barrier(2) + + async def legacy_113(): + np.set_printoptions(legacy='1.13', precision=12) + await b.wait() + po = np.get_printoptions() + assert po['legacy'] == '1.13' + assert po['precision'] == 12 + orig_linewidth = po['linewidth'] + with np.printoptions(linewidth=34, legacy='1.21'): + po = np.get_printoptions() + assert po['legacy'] == '1.21' + assert po['precision'] == 12 + assert po['linewidth'] == 34 + po = np.get_printoptions() + assert po['linewidth'] == orig_linewidth + assert po['legacy'] == '1.13' + assert po['precision'] == 12 + + async def legacy_125(): + np.set_printoptions(legacy='1.25', precision=7) + await b.wait() + po = np.get_printoptions() + assert po['legacy'] == '1.25' + assert po['precision'] == 7 + orig_linewidth = po['linewidth'] + with np.printoptions(linewidth=6, legacy='1.13'): + po = np.get_printoptions() + assert po['legacy'] == '1.13' + assert po['precision'] == 7 + assert po['linewidth'] == 6 + po = np.get_printoptions() + assert po['linewidth'] == orig_linewidth + assert po['legacy'] == '1.25' + assert po['precision'] == 7 + + async def main(): + await asyncio.gather(legacy_125(), legacy_125()) + + loop = asyncio.new_event_loop() + asyncio.run(main()) + loop.close() + +@pytest.mark.skipif(IS_WASM, reason="wasm doesn't support threads") +def test_multithreaded_array_printing(): + # the dragon4 implementation uses a static scratch space for performance + # reasons this test makes sure it is set up in a thread-safe manner + + run_threaded(TestPrintOptions().test_floatmode, 500) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_casting_floatingpoint_errors.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_casting_floatingpoint_errors.py new file mode 100644 index 0000000000000000000000000000000000000000..d448b94d979812aaf2220b770d9e8c246b9d4c16 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_casting_floatingpoint_errors.py @@ -0,0 +1,154 @@ +import pytest +from pytest import param +from numpy.testing import IS_WASM +import numpy as np + + +def values_and_dtypes(): + """ + Generate value+dtype pairs that generate floating point errors during + casts. The invalid casts to integers will generate "invalid" value + warnings, the float casts all generate "overflow". + + (The Python int/float paths don't need to get tested in all the same + situations, but it does not hurt.) + """ + # Casting to float16: + yield param(70000, "float16", id="int-to-f2") + yield param("70000", "float16", id="str-to-f2") + yield param(70000.0, "float16", id="float-to-f2") + yield param(np.longdouble(70000.), "float16", id="longdouble-to-f2") + yield param(np.float64(70000.), "float16", id="double-to-f2") + yield param(np.float32(70000.), "float16", id="float-to-f2") + # Casting to float32: + yield param(10**100, "float32", id="int-to-f4") + yield param(1e100, "float32", id="float-to-f2") + yield param(np.longdouble(1e300), "float32", id="longdouble-to-f2") + yield param(np.float64(1e300), "float32", id="double-to-f2") + # Casting to float64: + # If longdouble is double-double, its max can be rounded down to the double + # max. So we correct the double spacing (a bit weird, admittedly): + max_ld = np.finfo(np.longdouble).max + spacing = np.spacing(np.nextafter(np.finfo("f8").max, 0)) + if max_ld - spacing > np.finfo("f8").max: + yield param(np.finfo(np.longdouble).max, "float64", + id="longdouble-to-f8") + + # Cast to complex32: + yield param(2e300, "complex64", id="float-to-c8") + yield param(2e300+0j, "complex64", id="complex-to-c8") + yield param(2e300j, "complex64", id="complex-to-c8") + yield param(np.longdouble(2e300), "complex64", id="longdouble-to-c8") + + # Invalid float to integer casts: + with np.errstate(over="ignore"): + for to_dt in np.typecodes["AllInteger"]: + for value in [np.inf, np.nan]: + for from_dt in np.typecodes["AllFloat"]: + from_dt = np.dtype(from_dt) + from_val = from_dt.type(value) + + yield param(from_val, to_dt, id=f"{from_val}-to-{to_dt}") + + +def check_operations(dtype, value): + """ + There are many dedicated paths in NumPy which cast and should check for + floating point errors which occurred during those casts. + """ + if dtype.kind != 'i': + # These assignments use the stricter setitem logic: + def assignment(): + arr = np.empty(3, dtype=dtype) + arr[0] = value + + yield assignment + + def fill(): + arr = np.empty(3, dtype=dtype) + arr.fill(value) + + yield fill + + def copyto_scalar(): + arr = np.empty(3, dtype=dtype) + np.copyto(arr, value, casting="unsafe") + + yield copyto_scalar + + def copyto(): + arr = np.empty(3, dtype=dtype) + np.copyto(arr, np.array([value, value, value]), casting="unsafe") + + yield copyto + + def copyto_scalar_masked(): + arr = np.empty(3, dtype=dtype) + np.copyto(arr, value, casting="unsafe", + where=[True, False, True]) + + yield copyto_scalar_masked + + def copyto_masked(): + arr = np.empty(3, dtype=dtype) + np.copyto(arr, np.array([value, value, value]), casting="unsafe", + where=[True, False, True]) + + yield copyto_masked + + def direct_cast(): + np.array([value, value, value]).astype(dtype) + + yield direct_cast + + def direct_cast_nd_strided(): + arr = np.full((5, 5, 5), fill_value=value)[:, ::2, :] + arr.astype(dtype) + + yield direct_cast_nd_strided + + def boolean_array_assignment(): + arr = np.empty(3, dtype=dtype) + arr[[True, False, True]] = np.array([value, value]) + + yield boolean_array_assignment + + def integer_array_assignment(): + arr = np.empty(3, dtype=dtype) + values = np.array([value, value]) + + arr[[0, 1]] = values + + yield integer_array_assignment + + def integer_array_assignment_with_subspace(): + arr = np.empty((5, 3), dtype=dtype) + values = np.array([value, value, value]) + + arr[[0, 2]] = values + + yield integer_array_assignment_with_subspace + + def flat_assignment(): + arr = np.empty((3,), dtype=dtype) + values = np.array([value, value, value]) + arr.flat[:] = values + + yield flat_assignment + +@pytest.mark.skipif(IS_WASM, reason="no wasm fp exception support") +@pytest.mark.parametrize(["value", "dtype"], values_and_dtypes()) +@pytest.mark.filterwarnings("ignore::numpy.exceptions.ComplexWarning") +def test_floatingpoint_errors_casting(dtype, value): + dtype = np.dtype(dtype) + for operation in check_operations(dtype, value): + dtype = np.dtype(dtype) + + match = "invalid" if dtype.kind in 'iu' else "overflow" + with pytest.warns(RuntimeWarning, match=match): + operation() + + with np.errstate(all="raise"): + with pytest.raises(FloatingPointError, match=match): + operation() + diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_casting_unittests.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_casting_unittests.py new file mode 100644 index 0000000000000000000000000000000000000000..50b4f45b1f5ab960481fb449a47804553477d7da --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_casting_unittests.py @@ -0,0 +1,818 @@ +""" +The tests exercise the casting machinery in a more low-level manner. +The reason is mostly to test a new implementation of the casting machinery. + +Unlike most tests in NumPy, these are closer to unit-tests rather +than integration tests. +""" + +import pytest +import textwrap +import enum +import random +import ctypes + +import numpy as np +from numpy.lib.stride_tricks import as_strided + +from numpy.testing import assert_array_equal +from numpy._core._multiarray_umath import _get_castingimpl as get_castingimpl + + +# Simple skips object, parametric and long double (unsupported by struct) +simple_dtypes = "?bhilqBHILQefdFD" +if np.dtype("l").itemsize != np.dtype("q").itemsize: + # Remove l and L, the table was generated with 64bit linux in mind. + simple_dtypes = simple_dtypes.replace("l", "").replace("L", "") +simple_dtypes = [type(np.dtype(c)) for c in simple_dtypes] + + +def simple_dtype_instances(): + for dtype_class in simple_dtypes: + dt = dtype_class() + yield pytest.param(dt, id=str(dt)) + if dt.byteorder != "|": + dt = dt.newbyteorder() + yield pytest.param(dt, id=str(dt)) + + +def get_expected_stringlength(dtype): + """Returns the string length when casting the basic dtypes to strings. + """ + if dtype == np.bool: + return 5 + if dtype.kind in "iu": + if dtype.itemsize == 1: + length = 3 + elif dtype.itemsize == 2: + length = 5 + elif dtype.itemsize == 4: + length = 10 + elif dtype.itemsize == 8: + length = 20 + else: + raise AssertionError(f"did not find expected length for {dtype}") + + if dtype.kind == "i": + length += 1 # adds one character for the sign + + return length + + # Note: Can't do dtype comparison for longdouble on windows + if dtype.char == "g": + return 48 + elif dtype.char == "G": + return 48 * 2 + elif dtype.kind == "f": + return 32 # also for half apparently. + elif dtype.kind == "c": + return 32 * 2 + + raise AssertionError(f"did not find expected length for {dtype}") + + +class Casting(enum.IntEnum): + no = 0 + equiv = 1 + safe = 2 + same_kind = 3 + unsafe = 4 + + +def _get_cancast_table(): + table = textwrap.dedent(""" + X ? b h i l q B H I L Q e f d g F D G S U V O M m + ? # = = = = = = = = = = = = = = = = = = = = = . = + b . # = = = = . . . . . = = = = = = = = = = = . = + h . ~ # = = = . . . . . ~ = = = = = = = = = = . = + i . ~ ~ # = = . . . . . ~ ~ = = ~ = = = = = = . = + l . ~ ~ ~ # # . . . . . ~ ~ = = ~ = = = = = = . = + q . ~ ~ ~ # # . . . . . ~ ~ = = ~ = = = = = = . = + B . ~ = = = = # = = = = = = = = = = = = = = = . = + H . ~ ~ = = = ~ # = = = ~ = = = = = = = = = = . = + I . ~ ~ ~ = = ~ ~ # = = ~ ~ = = ~ = = = = = = . = + L . ~ ~ ~ ~ ~ ~ ~ ~ # # ~ ~ = = ~ = = = = = = . ~ + Q . ~ ~ ~ ~ ~ ~ ~ ~ # # ~ ~ = = ~ = = = = = = . ~ + e . . . . . . . . . . . # = = = = = = = = = = . . + f . . . . . . . . . . . ~ # = = = = = = = = = . . + d . . . . . . . . . . . ~ ~ # = ~ = = = = = = . . + g . . . . . . . . . . . ~ ~ ~ # ~ ~ = = = = = . . + F . . . . . . . . . . . . . . . # = = = = = = . . + D . . . . . . . . . . . . . . . ~ # = = = = = . . + G . . . . . . . . . . . . . . . ~ ~ # = = = = . . + S . . . . . . . . . . . . . . . . . . # = = = . . + U . . . . . . . . . . . . . . . . . . . # = = . . + V . . . . . . . . . . . . . . . . . . . . # = . . + O . . . . . . . . . . . . . . . . . . . . = # . . + M . . . . . . . . . . . . . . . . . . . . = = # . + m . . . . . . . . . . . . . . . . . . . . = = . # + """).strip().split("\n") + dtypes = [type(np.dtype(c)) for c in table[0][2::2]] + + convert_cast = {".": Casting.unsafe, "~": Casting.same_kind, + "=": Casting.safe, "#": Casting.equiv, + " ": -1} + + cancast = {} + for from_dt, row in zip(dtypes, table[1:]): + cancast[from_dt] = {} + for to_dt, c in zip(dtypes, row[2::2]): + cancast[from_dt][to_dt] = convert_cast[c] + + return cancast + +CAST_TABLE = _get_cancast_table() + + +class TestChanges: + """ + These test cases exercise some behaviour changes + """ + @pytest.mark.parametrize("string", ["S", "U"]) + @pytest.mark.parametrize("floating", ["e", "f", "d", "g"]) + def test_float_to_string(self, floating, string): + assert np.can_cast(floating, string) + # 100 is long enough to hold any formatted floating + assert np.can_cast(floating, f"{string}100") + + def test_to_void(self): + # But in general, we do consider these safe: + assert np.can_cast("d", "V") + assert np.can_cast("S20", "V") + + # Do not consider it a safe cast if the void is too smaller: + assert not np.can_cast("d", "V1") + assert not np.can_cast("S20", "V1") + assert not np.can_cast("U1", "V1") + # Structured to unstructured is just like any other: + assert np.can_cast("d,i", "V", casting="same_kind") + # Unstructured void to unstructured is actually no cast at all: + assert np.can_cast("V3", "V", casting="no") + assert np.can_cast("V0", "V", casting="no") + + +class TestCasting: + size = 1500 # Best larger than NPY_LOWLEVEL_BUFFER_BLOCKSIZE * itemsize + + def get_data(self, dtype1, dtype2): + if dtype2 is None or dtype1.itemsize >= dtype2.itemsize: + length = self.size // dtype1.itemsize + else: + length = self.size // dtype2.itemsize + + # Assume that the base array is well enough aligned for all inputs. + arr1 = np.empty(length, dtype=dtype1) + assert arr1.flags.c_contiguous + assert arr1.flags.aligned + + values = [random.randrange(-128, 128) for _ in range(length)] + + for i, value in enumerate(values): + # Use item assignment to ensure this is not using casting: + if value < 0 and dtype1.kind == "u": + # Manually rollover unsigned integers (-1 -> int.max) + value = value + np.iinfo(dtype1).max + 1 + arr1[i] = value + + if dtype2 is None: + if dtype1.char == "?": + values = [bool(v) for v in values] + return arr1, values + + if dtype2.char == "?": + values = [bool(v) for v in values] + + arr2 = np.empty(length, dtype=dtype2) + assert arr2.flags.c_contiguous + assert arr2.flags.aligned + + for i, value in enumerate(values): + # Use item assignment to ensure this is not using casting: + if value < 0 and dtype2.kind == "u": + # Manually rollover unsigned integers (-1 -> int.max) + value = value + np.iinfo(dtype2).max + 1 + arr2[i] = value + + return arr1, arr2, values + + def get_data_variation(self, arr1, arr2, aligned=True, contig=True): + """ + Returns a copy of arr1 that may be non-contiguous or unaligned, and a + matching array for arr2 (although not a copy). + """ + if contig: + stride1 = arr1.dtype.itemsize + stride2 = arr2.dtype.itemsize + elif aligned: + stride1 = 2 * arr1.dtype.itemsize + stride2 = 2 * arr2.dtype.itemsize + else: + stride1 = arr1.dtype.itemsize + 1 + stride2 = arr2.dtype.itemsize + 1 + + max_size1 = len(arr1) * 3 * arr1.dtype.itemsize + 1 + max_size2 = len(arr2) * 3 * arr2.dtype.itemsize + 1 + from_bytes = np.zeros(max_size1, dtype=np.uint8) + to_bytes = np.zeros(max_size2, dtype=np.uint8) + + # Sanity check that the above is large enough: + assert stride1 * len(arr1) <= from_bytes.nbytes + assert stride2 * len(arr2) <= to_bytes.nbytes + + if aligned: + new1 = as_strided(from_bytes[:-1].view(arr1.dtype), + arr1.shape, (stride1,)) + new2 = as_strided(to_bytes[:-1].view(arr2.dtype), + arr2.shape, (stride2,)) + else: + new1 = as_strided(from_bytes[1:].view(arr1.dtype), + arr1.shape, (stride1,)) + new2 = as_strided(to_bytes[1:].view(arr2.dtype), + arr2.shape, (stride2,)) + + new1[...] = arr1 + + if not contig: + # Ensure we did not overwrite bytes that should not be written: + offset = arr1.dtype.itemsize if aligned else 0 + buf = from_bytes[offset::stride1].tobytes() + assert buf.count(b"\0") == len(buf) + + if contig: + assert new1.flags.c_contiguous + assert new2.flags.c_contiguous + else: + assert not new1.flags.c_contiguous + assert not new2.flags.c_contiguous + + if aligned: + assert new1.flags.aligned + assert new2.flags.aligned + else: + assert not new1.flags.aligned or new1.dtype.alignment == 1 + assert not new2.flags.aligned or new2.dtype.alignment == 1 + + return new1, new2 + + @pytest.mark.parametrize("from_Dt", simple_dtypes) + def test_simple_cancast(self, from_Dt): + for to_Dt in simple_dtypes: + cast = get_castingimpl(from_Dt, to_Dt) + + for from_dt in [from_Dt(), from_Dt().newbyteorder()]: + default = cast._resolve_descriptors((from_dt, None))[1][1] + assert default == to_Dt() + del default + + for to_dt in [to_Dt(), to_Dt().newbyteorder()]: + casting, (from_res, to_res), view_off = ( + cast._resolve_descriptors((from_dt, to_dt))) + assert(type(from_res) == from_Dt) + assert(type(to_res) == to_Dt) + if view_off is not None: + # If a view is acceptable, this is "no" casting + # and byte order must be matching. + assert casting == Casting.no + # The above table lists this as "equivalent" + assert Casting.equiv == CAST_TABLE[from_Dt][to_Dt] + # Note that to_res may not be the same as from_dt + assert from_res.isnative == to_res.isnative + else: + if from_Dt == to_Dt: + # Note that to_res may not be the same as from_dt + assert from_res.isnative != to_res.isnative + assert casting == CAST_TABLE[from_Dt][to_Dt] + + if from_Dt is to_Dt: + assert(from_dt is from_res) + assert(to_dt is to_res) + + @pytest.mark.filterwarnings("ignore::numpy.exceptions.ComplexWarning") + @pytest.mark.parametrize("from_dt", simple_dtype_instances()) + def test_simple_direct_casts(self, from_dt): + """ + This test checks numeric direct casts for dtypes supported also by the + struct module (plus complex). It tries to be test a wide range of + inputs, but skips over possibly undefined behaviour (e.g. int rollover). + Longdouble and CLongdouble are tested, but only using double precision. + + If this test creates issues, it should possibly just be simplified + or even removed (checking whether unaligned/non-contiguous casts give + the same results is useful, though). + """ + for to_dt in simple_dtype_instances(): + to_dt = to_dt.values[0] + cast = get_castingimpl(type(from_dt), type(to_dt)) + + casting, (from_res, to_res), view_off = cast._resolve_descriptors( + (from_dt, to_dt)) + + if from_res is not from_dt or to_res is not to_dt: + # Do not test this case, it is handled in multiple steps, + # each of which should is tested individually. + return + + safe = casting <= Casting.safe + del from_res, to_res, casting + + arr1, arr2, values = self.get_data(from_dt, to_dt) + + cast._simple_strided_call((arr1, arr2)) + + # Check via python list + assert arr2.tolist() == values + + # Check that the same results are achieved for strided loops + arr1_o, arr2_o = self.get_data_variation(arr1, arr2, True, False) + cast._simple_strided_call((arr1_o, arr2_o)) + + assert_array_equal(arr2_o, arr2) + assert arr2_o.tobytes() == arr2.tobytes() + + # Check if alignment makes a difference, but only if supported + # and only if the alignment can be wrong + if ((from_dt.alignment == 1 and to_dt.alignment == 1) or + not cast._supports_unaligned): + return + + arr1_o, arr2_o = self.get_data_variation(arr1, arr2, False, True) + cast._simple_strided_call((arr1_o, arr2_o)) + + assert_array_equal(arr2_o, arr2) + assert arr2_o.tobytes() == arr2.tobytes() + + arr1_o, arr2_o = self.get_data_variation(arr1, arr2, False, False) + cast._simple_strided_call((arr1_o, arr2_o)) + + assert_array_equal(arr2_o, arr2) + assert arr2_o.tobytes() == arr2.tobytes() + + del arr1_o, arr2_o, cast + + @pytest.mark.parametrize("from_Dt", simple_dtypes) + def test_numeric_to_times(self, from_Dt): + # We currently only implement contiguous loops, so only need to + # test those. + from_dt = from_Dt() + + time_dtypes = [np.dtype("M8"), np.dtype("M8[ms]"), np.dtype("M8[4D]"), + np.dtype("m8"), np.dtype("m8[ms]"), np.dtype("m8[4D]")] + for time_dt in time_dtypes: + cast = get_castingimpl(type(from_dt), type(time_dt)) + + casting, (from_res, to_res), view_off = cast._resolve_descriptors( + (from_dt, time_dt)) + + assert from_res is from_dt + assert to_res is time_dt + del from_res, to_res + + assert casting & CAST_TABLE[from_Dt][type(time_dt)] + assert view_off is None + + int64_dt = np.dtype(np.int64) + arr1, arr2, values = self.get_data(from_dt, int64_dt) + arr2 = arr2.view(time_dt) + arr2[...] = np.datetime64("NaT") + + if time_dt == np.dtype("M8"): + # This is a bit of a strange path, and could probably be removed + arr1[-1] = 0 # ensure at least one value is not NaT + + # The cast currently succeeds, but the values are invalid: + cast._simple_strided_call((arr1, arr2)) + with pytest.raises(ValueError): + str(arr2[-1]) # e.g. conversion to string fails + return + + cast._simple_strided_call((arr1, arr2)) + + assert [int(v) for v in arr2.tolist()] == values + + # Check that the same results are achieved for strided loops + arr1_o, arr2_o = self.get_data_variation(arr1, arr2, True, False) + cast._simple_strided_call((arr1_o, arr2_o)) + + assert_array_equal(arr2_o, arr2) + assert arr2_o.tobytes() == arr2.tobytes() + + @pytest.mark.parametrize( + ["from_dt", "to_dt", "expected_casting", "expected_view_off", + "nom", "denom"], + [("M8[ns]", None, Casting.no, 0, 1, 1), + (str(np.dtype("M8[ns]").newbyteorder()), None, + Casting.equiv, None, 1, 1), + ("M8", "M8[ms]", Casting.safe, 0, 1, 1), + # should be invalid cast: + ("M8[ms]", "M8", Casting.unsafe, None, 1, 1), + ("M8[5ms]", "M8[5ms]", Casting.no, 0, 1, 1), + ("M8[ns]", "M8[ms]", Casting.same_kind, None, 1, 10**6), + ("M8[ms]", "M8[ns]", Casting.safe, None, 10**6, 1), + ("M8[ms]", "M8[7ms]", Casting.same_kind, None, 1, 7), + ("M8[4D]", "M8[1M]", Casting.same_kind, None, None, + # give full values based on NumPy 1.19.x + [-2**63, 0, -1, 1314, -1315, 564442610]), + ("m8[ns]", None, Casting.no, 0, 1, 1), + (str(np.dtype("m8[ns]").newbyteorder()), None, + Casting.equiv, None, 1, 1), + ("m8", "m8[ms]", Casting.safe, 0, 1, 1), + # should be invalid cast: + ("m8[ms]", "m8", Casting.unsafe, None, 1, 1), + ("m8[5ms]", "m8[5ms]", Casting.no, 0, 1, 1), + ("m8[ns]", "m8[ms]", Casting.same_kind, None, 1, 10**6), + ("m8[ms]", "m8[ns]", Casting.safe, None, 10**6, 1), + ("m8[ms]", "m8[7ms]", Casting.same_kind, None, 1, 7), + ("m8[4D]", "m8[1M]", Casting.unsafe, None, None, + # give full values based on NumPy 1.19.x + [-2**63, 0, 0, 1314, -1315, 564442610])]) + def test_time_to_time(self, from_dt, to_dt, + expected_casting, expected_view_off, + nom, denom): + from_dt = np.dtype(from_dt) + if to_dt is not None: + to_dt = np.dtype(to_dt) + + # Test a few values for casting (results generated with NumPy 1.19) + values = np.array([-2**63, 1, 2**63-1, 10000, -10000, 2**32]) + values = values.astype(np.dtype("int64").newbyteorder(from_dt.byteorder)) + assert values.dtype.byteorder == from_dt.byteorder + assert np.isnat(values.view(from_dt)[0]) + + DType = type(from_dt) + cast = get_castingimpl(DType, DType) + casting, (from_res, to_res), view_off = cast._resolve_descriptors( + (from_dt, to_dt)) + assert from_res is from_dt + assert to_res is to_dt or to_dt is None + assert casting == expected_casting + assert view_off == expected_view_off + + if nom is not None: + expected_out = (values * nom // denom).view(to_res) + expected_out[0] = "NaT" + else: + expected_out = np.empty_like(values) + expected_out[...] = denom + expected_out = expected_out.view(to_dt) + + orig_arr = values.view(from_dt) + orig_out = np.empty_like(expected_out) + + if casting == Casting.unsafe and (to_dt == "m8" or to_dt == "M8"): + # Casting from non-generic to generic units is an error and should + # probably be reported as an invalid cast earlier. + with pytest.raises(ValueError): + cast._simple_strided_call((orig_arr, orig_out)) + return + + for aligned in [True, True]: + for contig in [True, True]: + arr, out = self.get_data_variation( + orig_arr, orig_out, aligned, contig) + out[...] = 0 + cast._simple_strided_call((arr, out)) + assert_array_equal(out.view("int64"), expected_out.view("int64")) + + def string_with_modified_length(self, dtype, change_length): + fact = 1 if dtype.char == "S" else 4 + length = dtype.itemsize // fact + change_length + return np.dtype(f"{dtype.byteorder}{dtype.char}{length}") + + @pytest.mark.parametrize("other_DT", simple_dtypes) + @pytest.mark.parametrize("string_char", ["S", "U"]) + def test_string_cancast(self, other_DT, string_char): + fact = 1 if string_char == "S" else 4 + + string_DT = type(np.dtype(string_char)) + cast = get_castingimpl(other_DT, string_DT) + + other_dt = other_DT() + expected_length = get_expected_stringlength(other_dt) + string_dt = np.dtype(f"{string_char}{expected_length}") + + safety, (res_other_dt, res_dt), view_off = cast._resolve_descriptors( + (other_dt, None)) + assert res_dt.itemsize == expected_length * fact + assert safety == Casting.safe # we consider to string casts "safe" + assert view_off is None + assert isinstance(res_dt, string_DT) + + # These casts currently implement changing the string length, so + # check the cast-safety for too long/fixed string lengths: + for change_length in [-1, 0, 1]: + if change_length >= 0: + expected_safety = Casting.safe + else: + expected_safety = Casting.same_kind + + to_dt = self.string_with_modified_length(string_dt, change_length) + safety, (_, res_dt), view_off = cast._resolve_descriptors( + (other_dt, to_dt)) + assert res_dt is to_dt + assert safety == expected_safety + assert view_off is None + + # The opposite direction is always considered unsafe: + cast = get_castingimpl(string_DT, other_DT) + + safety, _, view_off = cast._resolve_descriptors((string_dt, other_dt)) + assert safety == Casting.unsafe + assert view_off is None + + cast = get_castingimpl(string_DT, other_DT) + safety, (_, res_dt), view_off = cast._resolve_descriptors( + (string_dt, None)) + assert safety == Casting.unsafe + assert view_off is None + assert other_dt is res_dt # returns the singleton for simple dtypes + + @pytest.mark.parametrize("string_char", ["S", "U"]) + @pytest.mark.parametrize("other_dt", simple_dtype_instances()) + def test_simple_string_casts_roundtrip(self, other_dt, string_char): + """ + Tests casts from and to string by checking the roundtripping property. + + The test also covers some string to string casts (but not all). + + If this test creates issues, it should possibly just be simplified + or even removed (checking whether unaligned/non-contiguous casts give + the same results is useful, though). + """ + string_DT = type(np.dtype(string_char)) + + cast = get_castingimpl(type(other_dt), string_DT) + cast_back = get_castingimpl(string_DT, type(other_dt)) + _, (res_other_dt, string_dt), _ = cast._resolve_descriptors( + (other_dt, None)) + + if res_other_dt is not other_dt: + # do not support non-native byteorder, skip test in that case + assert other_dt.byteorder != res_other_dt.byteorder + return + + orig_arr, values = self.get_data(other_dt, None) + str_arr = np.zeros(len(orig_arr), dtype=string_dt) + string_dt_short = self.string_with_modified_length(string_dt, -1) + str_arr_short = np.zeros(len(orig_arr), dtype=string_dt_short) + string_dt_long = self.string_with_modified_length(string_dt, 1) + str_arr_long = np.zeros(len(orig_arr), dtype=string_dt_long) + + assert not cast._supports_unaligned # if support is added, should test + assert not cast_back._supports_unaligned + + for contig in [True, False]: + other_arr, str_arr = self.get_data_variation( + orig_arr, str_arr, True, contig) + _, str_arr_short = self.get_data_variation( + orig_arr, str_arr_short.copy(), True, contig) + _, str_arr_long = self.get_data_variation( + orig_arr, str_arr_long, True, contig) + + cast._simple_strided_call((other_arr, str_arr)) + + cast._simple_strided_call((other_arr, str_arr_short)) + assert_array_equal(str_arr.astype(string_dt_short), str_arr_short) + + cast._simple_strided_call((other_arr, str_arr_long)) + assert_array_equal(str_arr, str_arr_long) + + if other_dt.kind == "b": + # Booleans do not roundtrip + continue + + other_arr[...] = 0 + cast_back._simple_strided_call((str_arr, other_arr)) + assert_array_equal(orig_arr, other_arr) + + other_arr[...] = 0 + cast_back._simple_strided_call((str_arr_long, other_arr)) + assert_array_equal(orig_arr, other_arr) + + @pytest.mark.parametrize("other_dt", ["S8", "U8"]) + @pytest.mark.parametrize("string_char", ["S", "U"]) + def test_string_to_string_cancast(self, other_dt, string_char): + other_dt = np.dtype(other_dt) + + fact = 1 if string_char == "S" else 4 + div = 1 if other_dt.char == "S" else 4 + + string_DT = type(np.dtype(string_char)) + cast = get_castingimpl(type(other_dt), string_DT) + + expected_length = other_dt.itemsize // div + string_dt = np.dtype(f"{string_char}{expected_length}") + + safety, (res_other_dt, res_dt), view_off = cast._resolve_descriptors( + (other_dt, None)) + assert res_dt.itemsize == expected_length * fact + assert isinstance(res_dt, string_DT) + + expected_view_off = None + if other_dt.char == string_char: + if other_dt.isnative: + expected_safety = Casting.no + expected_view_off = 0 + else: + expected_safety = Casting.equiv + elif string_char == "U": + expected_safety = Casting.safe + else: + expected_safety = Casting.unsafe + + assert view_off == expected_view_off + assert expected_safety == safety + + for change_length in [-1, 0, 1]: + to_dt = self.string_with_modified_length(string_dt, change_length) + safety, (_, res_dt), view_off = cast._resolve_descriptors( + (other_dt, to_dt)) + + assert res_dt is to_dt + if change_length <= 0: + assert view_off == expected_view_off + else: + assert view_off is None + if expected_safety == Casting.unsafe: + assert safety == expected_safety + elif change_length < 0: + assert safety == Casting.same_kind + elif change_length == 0: + assert safety == expected_safety + elif change_length > 0: + assert safety == Casting.safe + + @pytest.mark.parametrize("order1", [">", "<"]) + @pytest.mark.parametrize("order2", [">", "<"]) + def test_unicode_byteswapped_cast(self, order1, order2): + # Very specific tests (not using the castingimpl directly) + # that tests unicode bytedwaps including for unaligned array data. + dtype1 = np.dtype(f"{order1}U30") + dtype2 = np.dtype(f"{order2}U30") + data1 = np.empty(30 * 4 + 1, dtype=np.uint8)[1:].view(dtype1) + data2 = np.empty(30 * 4 + 1, dtype=np.uint8)[1:].view(dtype2) + if dtype1.alignment != 1: + # alignment should always be >1, but skip the check if not + assert not data1.flags.aligned + assert not data2.flags.aligned + + element = "this is a ünicode string‽" + data1[()] = element + # Test both `data1` and `data1.copy()` (which should be aligned) + for data in [data1, data1.copy()]: + data2[...] = data1 + assert data2[()] == element + assert data2.copy()[()] == element + + def test_void_to_string_special_case(self): + # Cover a small special case in void to string casting that could + # probably just as well be turned into an error (compare + # `test_object_to_parametric_internal_error` below). + assert np.array([], dtype="V5").astype("S").dtype.itemsize == 5 + assert np.array([], dtype="V5").astype("U").dtype.itemsize == 4 * 5 + + def test_object_to_parametric_internal_error(self): + # We reject casting from object to a parametric type, without + # figuring out the correct instance first. + object_dtype = type(np.dtype(object)) + other_dtype = type(np.dtype(str)) + cast = get_castingimpl(object_dtype, other_dtype) + with pytest.raises(TypeError, + match="casting from object to the parametric DType"): + cast._resolve_descriptors((np.dtype("O"), None)) + + @pytest.mark.parametrize("dtype", simple_dtype_instances()) + def test_object_and_simple_resolution(self, dtype): + # Simple test to exercise the cast when no instance is specified + object_dtype = type(np.dtype(object)) + cast = get_castingimpl(object_dtype, type(dtype)) + + safety, (_, res_dt), view_off = cast._resolve_descriptors( + (np.dtype("O"), dtype)) + assert safety == Casting.unsafe + assert view_off is None + assert res_dt is dtype + + safety, (_, res_dt), view_off = cast._resolve_descriptors( + (np.dtype("O"), None)) + assert safety == Casting.unsafe + assert view_off is None + assert res_dt == dtype.newbyteorder("=") + + @pytest.mark.parametrize("dtype", simple_dtype_instances()) + def test_simple_to_object_resolution(self, dtype): + # Simple test to exercise the cast when no instance is specified + object_dtype = type(np.dtype(object)) + cast = get_castingimpl(type(dtype), object_dtype) + + safety, (_, res_dt), view_off = cast._resolve_descriptors( + (dtype, None)) + assert safety == Casting.safe + assert view_off is None + assert res_dt is np.dtype("O") + + @pytest.mark.parametrize("casting", ["no", "unsafe"]) + def test_void_and_structured_with_subarray(self, casting): + # test case corresponding to gh-19325 + dtype = np.dtype([("foo", " casts may succeed or fail, but a NULL'ed array must + # behave the same as one filled with None's. + arr_normal = np.array([None] * 5) + arr_NULLs = np.empty_like(arr_normal) + ctypes.memset(arr_NULLs.ctypes.data, 0, arr_NULLs.nbytes) + # If the check fails (maybe it should) the test would lose its purpose: + assert arr_NULLs.tobytes() == b"\x00" * arr_NULLs.nbytes + + try: + expected = arr_normal.astype(dtype) + except TypeError: + with pytest.raises(TypeError): + arr_NULLs.astype(dtype), + else: + assert_array_equal(expected, arr_NULLs.astype(dtype)) + + @pytest.mark.parametrize("dtype", + np.typecodes["AllInteger"] + np.typecodes["AllFloat"]) + def test_nonstandard_bool_to_other(self, dtype): + # simple test for casting bool_ to numeric types, which should not + # expose the detail that NumPy bools can sometimes take values other + # than 0 and 1. See also gh-19514. + nonstandard_bools = np.array([0, 3, -7], dtype=np.int8).view(bool) + res = nonstandard_bools.astype(dtype) + expected = [0, 1, 1] + assert_array_equal(res, expected) + diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_conversion_utils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_conversion_utils.py new file mode 100644 index 0000000000000000000000000000000000000000..51676320fa0dafcbcf095d7cc02f20e91ac21e16 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_conversion_utils.py @@ -0,0 +1,209 @@ +""" +Tests for numpy/_core/src/multiarray/conversion_utils.c +""" +import re +import sys + +import pytest + +import numpy as np +import numpy._core._multiarray_tests as mt +from numpy._core.multiarray import CLIP, WRAP, RAISE +from numpy.testing import assert_warns, IS_PYPY + + +class StringConverterTestCase: + allow_bytes = True + case_insensitive = True + exact_match = False + warn = True + + def _check_value_error(self, val): + pattern = r'\(got {}\)'.format(re.escape(repr(val))) + with pytest.raises(ValueError, match=pattern) as exc: + self.conv(val) + + def _check_conv_assert_warn(self, val, expected): + if self.warn: + with assert_warns(DeprecationWarning) as exc: + assert self.conv(val) == expected + else: + assert self.conv(val) == expected + + def _check(self, val, expected): + """Takes valid non-deprecated inputs for converters, + runs converters on inputs, checks correctness of outputs, + warnings and errors""" + assert self.conv(val) == expected + + if self.allow_bytes: + assert self.conv(val.encode('ascii')) == expected + else: + with pytest.raises(TypeError): + self.conv(val.encode('ascii')) + + if len(val) != 1: + if self.exact_match: + self._check_value_error(val[:1]) + self._check_value_error(val + '\0') + else: + self._check_conv_assert_warn(val[:1], expected) + + if self.case_insensitive: + if val != val.lower(): + self._check_conv_assert_warn(val.lower(), expected) + if val != val.upper(): + self._check_conv_assert_warn(val.upper(), expected) + else: + if val != val.lower(): + self._check_value_error(val.lower()) + if val != val.upper(): + self._check_value_error(val.upper()) + + def test_wrong_type(self): + # common cases which apply to all the below + with pytest.raises(TypeError): + self.conv({}) + with pytest.raises(TypeError): + self.conv([]) + + def test_wrong_value(self): + # nonsense strings + self._check_value_error('') + self._check_value_error('\N{greek small letter pi}') + + if self.allow_bytes: + self._check_value_error(b'') + # bytes which can't be converted to strings via utf8 + self._check_value_error(b"\xFF") + if self.exact_match: + self._check_value_error("there's no way this is supported") + + +class TestByteorderConverter(StringConverterTestCase): + """ Tests of PyArray_ByteorderConverter """ + conv = mt.run_byteorder_converter + warn = False + + def test_valid(self): + for s in ['big', '>']: + self._check(s, 'NPY_BIG') + for s in ['little', '<']: + self._check(s, 'NPY_LITTLE') + for s in ['native', '=']: + self._check(s, 'NPY_NATIVE') + for s in ['ignore', '|']: + self._check(s, 'NPY_IGNORE') + for s in ['swap']: + self._check(s, 'NPY_SWAP') + + +class TestSortkindConverter(StringConverterTestCase): + """ Tests of PyArray_SortkindConverter """ + conv = mt.run_sortkind_converter + warn = False + + def test_valid(self): + self._check('quicksort', 'NPY_QUICKSORT') + self._check('heapsort', 'NPY_HEAPSORT') + self._check('mergesort', 'NPY_STABLESORT') # alias + self._check('stable', 'NPY_STABLESORT') + + +class TestSelectkindConverter(StringConverterTestCase): + """ Tests of PyArray_SelectkindConverter """ + conv = mt.run_selectkind_converter + case_insensitive = False + exact_match = True + + def test_valid(self): + self._check('introselect', 'NPY_INTROSELECT') + + +class TestSearchsideConverter(StringConverterTestCase): + """ Tests of PyArray_SearchsideConverter """ + conv = mt.run_searchside_converter + def test_valid(self): + self._check('left', 'NPY_SEARCHLEFT') + self._check('right', 'NPY_SEARCHRIGHT') + + +class TestOrderConverter(StringConverterTestCase): + """ Tests of PyArray_OrderConverter """ + conv = mt.run_order_converter + warn = False + + def test_valid(self): + self._check('c', 'NPY_CORDER') + self._check('f', 'NPY_FORTRANORDER') + self._check('a', 'NPY_ANYORDER') + self._check('k', 'NPY_KEEPORDER') + + def test_flatten_invalid_order(self): + # invalid after gh-14596 + with pytest.raises(ValueError): + self.conv('Z') + for order in [False, True, 0, 8]: + with pytest.raises(TypeError): + self.conv(order) + + +class TestClipmodeConverter(StringConverterTestCase): + """ Tests of PyArray_ClipmodeConverter """ + conv = mt.run_clipmode_converter + def test_valid(self): + self._check('clip', 'NPY_CLIP') + self._check('wrap', 'NPY_WRAP') + self._check('raise', 'NPY_RAISE') + + # integer values allowed here + assert self.conv(CLIP) == 'NPY_CLIP' + assert self.conv(WRAP) == 'NPY_WRAP' + assert self.conv(RAISE) == 'NPY_RAISE' + + +class TestCastingConverter(StringConverterTestCase): + """ Tests of PyArray_CastingConverter """ + conv = mt.run_casting_converter + case_insensitive = False + exact_match = True + + def test_valid(self): + self._check("no", "NPY_NO_CASTING") + self._check("equiv", "NPY_EQUIV_CASTING") + self._check("safe", "NPY_SAFE_CASTING") + self._check("same_kind", "NPY_SAME_KIND_CASTING") + self._check("unsafe", "NPY_UNSAFE_CASTING") + + +class TestIntpConverter: + """ Tests of PyArray_IntpConverter """ + conv = mt.run_intp_converter + + def test_basic(self): + assert self.conv(1) == (1,) + assert self.conv((1, 2)) == (1, 2) + assert self.conv([1, 2]) == (1, 2) + assert self.conv(()) == () + + def test_none(self): + # once the warning expires, this will raise TypeError + with pytest.warns(DeprecationWarning): + assert self.conv(None) == () + + @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") + def test_float(self): + with pytest.raises(TypeError): + self.conv(1.0) + with pytest.raises(TypeError): + self.conv([1, 1.0]) + + def test_too_large(self): + with pytest.raises(ValueError): + self.conv(2**64) + + def test_too_many_dims(self): + assert self.conv([1]*64) == (1,)*64 + with pytest.raises(ValueError): + self.conv([1]*65) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cpu_dispatcher.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cpu_dispatcher.py new file mode 100644 index 0000000000000000000000000000000000000000..959725ea7bc865de7532f9fc4378c73d222b2039 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cpu_dispatcher.py @@ -0,0 +1,45 @@ +from numpy._core._multiarray_umath import ( + __cpu_features__, __cpu_baseline__, __cpu_dispatch__ +) +from numpy._core import _umath_tests +from numpy.testing import assert_equal + +def test_dispatcher(): + """ + Testing the utilities of the CPU dispatcher + """ + targets = ( + "SSE2", "SSE41", "AVX2", + "VSX", "VSX2", "VSX3", + "NEON", "ASIMD", "ASIMDHP", + "VX", "VXE" + ) + highest_sfx = "" # no suffix for the baseline + all_sfx = [] + for feature in reversed(targets): + # skip baseline features, by the default `CCompilerOpt` do not generate separated objects + # for the baseline, just one object combined all of them via 'baseline' option + # within the configuration statements. + if feature in __cpu_baseline__: + continue + # check compiler and running machine support + if feature not in __cpu_dispatch__ or not __cpu_features__[feature]: + continue + + if not highest_sfx: + highest_sfx = "_" + feature + all_sfx.append("func" + "_" + feature) + + test = _umath_tests.test_dispatch() + assert_equal(test["func"], "func" + highest_sfx) + assert_equal(test["var"], "var" + highest_sfx) + + if highest_sfx: + assert_equal(test["func_xb"], "func" + highest_sfx) + assert_equal(test["var_xb"], "var" + highest_sfx) + else: + assert_equal(test["func_xb"], "nobase") + assert_equal(test["var_xb"], "nobase") + + all_sfx.append("func") # add the baseline + assert_equal(test["all"], all_sfx) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cpu_features.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cpu_features.py new file mode 100644 index 0000000000000000000000000000000000000000..570a2b893b06630a88a4cd4cfe9de1a3e700923b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cpu_features.py @@ -0,0 +1,419 @@ +import os +import re +import sys +import pathlib +import platform +import subprocess +import pytest +from numpy._core._multiarray_umath import ( + __cpu_features__, + __cpu_baseline__, + __cpu_dispatch__, +) +import numpy as np + +def assert_features_equal(actual, desired, fname): + __tracebackhide__ = True # Hide traceback for py.test + actual, desired = str(actual), str(desired) + if actual == desired: + return + detected = str(__cpu_features__).replace("'", "") + try: + with open("/proc/cpuinfo") as fd: + cpuinfo = fd.read(2048) + except Exception as err: + cpuinfo = str(err) + + try: + import subprocess + auxv = subprocess.check_output(['/bin/true'], env=dict(LD_SHOW_AUXV="1")) + auxv = auxv.decode() + except Exception as err: + auxv = str(err) + + import textwrap + error_report = textwrap.indent( +""" +########################################### +### Extra debugging information +########################################### +------------------------------------------- +--- NumPy Detections +------------------------------------------- +%s +------------------------------------------- +--- SYS / CPUINFO +------------------------------------------- +%s.... +------------------------------------------- +--- SYS / AUXV +------------------------------------------- +%s +""" % (detected, cpuinfo, auxv), prefix='\r') + + raise AssertionError(( + "Failure Detection\n" + " NAME: '%s'\n" + " ACTUAL: %s\n" + " DESIRED: %s\n" + "%s" + ) % (fname, actual, desired, error_report)) + +def _text_to_list(txt): + out = txt.strip("][\n").replace("'", "").split(', ') + return None if out[0] == "" else out + +class AbstractTest: + features = [] + features_groups = {} + features_map = {} + features_flags = set() + + def load_flags(self): + # a hook + pass + def test_features(self): + self.load_flags() + for gname, features in self.features_groups.items(): + test_features = [self.cpu_have(f) for f in features] + assert_features_equal(__cpu_features__.get(gname), all(test_features), gname) + + for feature_name in self.features: + cpu_have = self.cpu_have(feature_name) + npy_have = __cpu_features__.get(feature_name) + assert_features_equal(npy_have, cpu_have, feature_name) + + def cpu_have(self, feature_name): + map_names = self.features_map.get(feature_name, feature_name) + if isinstance(map_names, str): + return map_names in self.features_flags + return any(f in self.features_flags for f in map_names) + + def load_flags_cpuinfo(self, magic_key): + self.features_flags = self.get_cpuinfo_item(magic_key) + + def get_cpuinfo_item(self, magic_key): + values = set() + with open('/proc/cpuinfo') as fd: + for line in fd: + if not line.startswith(magic_key): + continue + flags_value = [s.strip() for s in line.split(':', 1)] + if len(flags_value) == 2: + values = values.union(flags_value[1].upper().split()) + return values + + def load_flags_auxv(self): + auxv = subprocess.check_output(['/bin/true'], env=dict(LD_SHOW_AUXV="1")) + for at in auxv.split(b'\n'): + if not at.startswith(b"AT_HWCAP"): + continue + hwcap_value = [s.strip() for s in at.split(b':', 1)] + if len(hwcap_value) == 2: + self.features_flags = self.features_flags.union( + hwcap_value[1].upper().decode().split() + ) + +@pytest.mark.skipif( + sys.platform == 'emscripten', + reason= ( + "The subprocess module is not available on WASM platforms and" + " therefore this test class cannot be properly executed." + ), +) +class TestEnvPrivation: + cwd = pathlib.Path(__file__).parent.resolve() + env = os.environ.copy() + _enable = os.environ.pop('NPY_ENABLE_CPU_FEATURES', None) + _disable = os.environ.pop('NPY_DISABLE_CPU_FEATURES', None) + SUBPROCESS_ARGS = dict(cwd=cwd, capture_output=True, text=True, check=True) + unavailable_feats = [ + feat for feat in __cpu_dispatch__ if not __cpu_features__[feat] + ] + UNAVAILABLE_FEAT = ( + None if len(unavailable_feats) == 0 + else unavailable_feats[0] + ) + BASELINE_FEAT = None if len(__cpu_baseline__) == 0 else __cpu_baseline__[0] + SCRIPT = """ +def main(): + from numpy._core._multiarray_umath import ( + __cpu_features__, + __cpu_dispatch__ + ) + + detected = [feat for feat in __cpu_dispatch__ if __cpu_features__[feat]] + print(detected) + +if __name__ == "__main__": + main() + """ + + @pytest.fixture(autouse=True) + def setup_class(self, tmp_path_factory): + file = tmp_path_factory.mktemp("runtime_test_script") + file /= "_runtime_detect.py" + file.write_text(self.SCRIPT) + self.file = file + return + + def _run(self): + return subprocess.run( + [sys.executable, self.file], + env=self.env, + **self.SUBPROCESS_ARGS, + ) + + # Helper function mimicking pytest.raises for subprocess call + def _expect_error( + self, + msg, + err_type, + no_error_msg="Failed to generate error" + ): + try: + self._run() + except subprocess.CalledProcessError as e: + assertion_message = f"Expected: {msg}\nGot: {e.stderr}" + assert re.search(msg, e.stderr), assertion_message + + assertion_message = ( + f"Expected error of type: {err_type}; see full " + f"error:\n{e.stderr}" + ) + assert re.search(err_type, e.stderr), assertion_message + else: + assert False, no_error_msg + + def setup_method(self): + """Ensure that the environment is reset""" + self.env = os.environ.copy() + return + + def test_runtime_feature_selection(self): + """ + Ensure that when selecting `NPY_ENABLE_CPU_FEATURES`, only the + features exactly specified are dispatched. + """ + + # Capture runtime-enabled features + out = self._run() + non_baseline_features = _text_to_list(out.stdout) + + if non_baseline_features is None: + pytest.skip( + "No dispatchable features outside of baseline detected." + ) + feature = non_baseline_features[0] + + # Capture runtime-enabled features when `NPY_ENABLE_CPU_FEATURES` is + # specified + self.env['NPY_ENABLE_CPU_FEATURES'] = feature + out = self._run() + enabled_features = _text_to_list(out.stdout) + + # Ensure that only one feature is enabled, and it is exactly the one + # specified by `NPY_ENABLE_CPU_FEATURES` + assert set(enabled_features) == {feature} + + if len(non_baseline_features) < 2: + pytest.skip("Only one non-baseline feature detected.") + # Capture runtime-enabled features when `NPY_ENABLE_CPU_FEATURES` is + # specified + self.env['NPY_ENABLE_CPU_FEATURES'] = ",".join(non_baseline_features) + out = self._run() + enabled_features = _text_to_list(out.stdout) + + # Ensure that both features are enabled, and they are exactly the ones + # specified by `NPY_ENABLE_CPU_FEATURES` + assert set(enabled_features) == set(non_baseline_features) + return + + @pytest.mark.parametrize("enabled, disabled", + [ + ("feature", "feature"), + ("feature", "same"), + ]) + def test_both_enable_disable_set(self, enabled, disabled): + """ + Ensure that when both environment variables are set then an + ImportError is thrown + """ + self.env['NPY_ENABLE_CPU_FEATURES'] = enabled + self.env['NPY_DISABLE_CPU_FEATURES'] = disabled + msg = "Both NPY_DISABLE_CPU_FEATURES and NPY_ENABLE_CPU_FEATURES" + err_type = "ImportError" + self._expect_error(msg, err_type) + + @pytest.mark.skipif( + not __cpu_dispatch__, + reason=( + "NPY_*_CPU_FEATURES only parsed if " + "`__cpu_dispatch__` is non-empty" + ) + ) + @pytest.mark.parametrize("action", ["ENABLE", "DISABLE"]) + def test_variable_too_long(self, action): + """ + Test that an error is thrown if the environment variables are too long + to be processed. Current limit is 1024, but this may change later. + """ + MAX_VAR_LENGTH = 1024 + # Actual length is MAX_VAR_LENGTH + 1 due to null-termination + self.env[f'NPY_{action}_CPU_FEATURES'] = "t" * MAX_VAR_LENGTH + msg = ( + f"Length of environment variable 'NPY_{action}_CPU_FEATURES' is " + f"{MAX_VAR_LENGTH + 1}, only {MAX_VAR_LENGTH} accepted" + ) + err_type = "RuntimeError" + self._expect_error(msg, err_type) + + @pytest.mark.skipif( + not __cpu_dispatch__, + reason=( + "NPY_*_CPU_FEATURES only parsed if " + "`__cpu_dispatch__` is non-empty" + ) + ) + def test_impossible_feature_disable(self): + """ + Test that a RuntimeError is thrown if an impossible feature-disabling + request is made. This includes disabling a baseline feature. + """ + + if self.BASELINE_FEAT is None: + pytest.skip("There are no unavailable features to test with") + bad_feature = self.BASELINE_FEAT + self.env['NPY_DISABLE_CPU_FEATURES'] = bad_feature + msg = ( + f"You cannot disable CPU feature '{bad_feature}', since it is " + "part of the baseline optimizations" + ) + err_type = "RuntimeError" + self._expect_error(msg, err_type) + + def test_impossible_feature_enable(self): + """ + Test that a RuntimeError is thrown if an impossible feature-enabling + request is made. This includes enabling a feature not supported by the + machine, or disabling a baseline optimization. + """ + + if self.UNAVAILABLE_FEAT is None: + pytest.skip("There are no unavailable features to test with") + bad_feature = self.UNAVAILABLE_FEAT + self.env['NPY_ENABLE_CPU_FEATURES'] = bad_feature + msg = ( + f"You cannot enable CPU features \\({bad_feature}\\), since " + "they are not supported by your machine." + ) + err_type = "RuntimeError" + self._expect_error(msg, err_type) + + # Ensure that it fails even when providing garbage in addition + feats = f"{bad_feature}, Foobar" + self.env['NPY_ENABLE_CPU_FEATURES'] = feats + msg = ( + f"You cannot enable CPU features \\({bad_feature}\\), since they " + "are not supported by your machine." + ) + self._expect_error(msg, err_type) + + if self.BASELINE_FEAT is not None: + # Ensure that only the bad feature gets reported + feats = f"{bad_feature}, {self.BASELINE_FEAT}" + self.env['NPY_ENABLE_CPU_FEATURES'] = feats + msg = ( + f"You cannot enable CPU features \\({bad_feature}\\), since " + "they are not supported by your machine." + ) + self._expect_error(msg, err_type) + +is_linux = sys.platform.startswith('linux') +is_cygwin = sys.platform.startswith('cygwin') +machine = platform.machine() +is_x86 = re.match("^(amd64|x86|i386|i686)", machine, re.IGNORECASE) +@pytest.mark.skipif( + not (is_linux or is_cygwin) or not is_x86, reason="Only for Linux and x86" +) +class Test_X86_Features(AbstractTest): + features = [ + "MMX", "SSE", "SSE2", "SSE3", "SSSE3", "SSE41", "POPCNT", "SSE42", + "AVX", "F16C", "XOP", "FMA4", "FMA3", "AVX2", "AVX512F", "AVX512CD", + "AVX512ER", "AVX512PF", "AVX5124FMAPS", "AVX5124VNNIW", "AVX512VPOPCNTDQ", + "AVX512VL", "AVX512BW", "AVX512DQ", "AVX512VNNI", "AVX512IFMA", + "AVX512VBMI", "AVX512VBMI2", "AVX512BITALG", "AVX512FP16", + ] + features_groups = dict( + AVX512_KNL = ["AVX512F", "AVX512CD", "AVX512ER", "AVX512PF"], + AVX512_KNM = ["AVX512F", "AVX512CD", "AVX512ER", "AVX512PF", "AVX5124FMAPS", + "AVX5124VNNIW", "AVX512VPOPCNTDQ"], + AVX512_SKX = ["AVX512F", "AVX512CD", "AVX512BW", "AVX512DQ", "AVX512VL"], + AVX512_CLX = ["AVX512F", "AVX512CD", "AVX512BW", "AVX512DQ", "AVX512VL", "AVX512VNNI"], + AVX512_CNL = ["AVX512F", "AVX512CD", "AVX512BW", "AVX512DQ", "AVX512VL", "AVX512IFMA", + "AVX512VBMI"], + AVX512_ICL = ["AVX512F", "AVX512CD", "AVX512BW", "AVX512DQ", "AVX512VL", "AVX512IFMA", + "AVX512VBMI", "AVX512VNNI", "AVX512VBMI2", "AVX512BITALG", "AVX512VPOPCNTDQ"], + AVX512_SPR = ["AVX512F", "AVX512CD", "AVX512BW", "AVX512DQ", + "AVX512VL", "AVX512IFMA", "AVX512VBMI", "AVX512VNNI", + "AVX512VBMI2", "AVX512BITALG", "AVX512VPOPCNTDQ", + "AVX512FP16"], + ) + features_map = dict( + SSE3="PNI", SSE41="SSE4_1", SSE42="SSE4_2", FMA3="FMA", + AVX512VNNI="AVX512_VNNI", AVX512BITALG="AVX512_BITALG", AVX512VBMI2="AVX512_VBMI2", + AVX5124FMAPS="AVX512_4FMAPS", AVX5124VNNIW="AVX512_4VNNIW", AVX512VPOPCNTDQ="AVX512_VPOPCNTDQ", + AVX512FP16="AVX512_FP16", + ) + def load_flags(self): + self.load_flags_cpuinfo("flags") + +is_power = re.match("^(powerpc|ppc)64", machine, re.IGNORECASE) +@pytest.mark.skipif(not is_linux or not is_power, reason="Only for Linux and Power") +class Test_POWER_Features(AbstractTest): + features = ["VSX", "VSX2", "VSX3", "VSX4"] + features_map = dict(VSX2="ARCH_2_07", VSX3="ARCH_3_00", VSX4="ARCH_3_1") + + def load_flags(self): + self.load_flags_auxv() + + +is_zarch = re.match("^(s390x)", machine, re.IGNORECASE) +@pytest.mark.skipif(not is_linux or not is_zarch, + reason="Only for Linux and IBM Z") +class Test_ZARCH_Features(AbstractTest): + features = ["VX", "VXE", "VXE2"] + + def load_flags(self): + self.load_flags_auxv() + + +is_arm = re.match("^(arm|aarch64)", machine, re.IGNORECASE) +@pytest.mark.skipif(not is_linux or not is_arm, reason="Only for Linux and ARM") +class Test_ARM_Features(AbstractTest): + features = [ + "SVE", "NEON", "ASIMD", "FPHP", "ASIMDHP", "ASIMDDP", "ASIMDFHM" + ] + features_groups = dict( + NEON_FP16 = ["NEON", "HALF"], + NEON_VFPV4 = ["NEON", "VFPV4"], + ) + def load_flags(self): + self.load_flags_cpuinfo("Features") + arch = self.get_cpuinfo_item("CPU architecture") + # in case of mounting virtual filesystem of aarch64 kernel without linux32 + is_rootfs_v8 = ( + not re.match("^armv[0-9]+l$", machine) and + (int('0' + next(iter(arch))) > 7 if arch else 0) + ) + if re.match("^(aarch64|AARCH64)", machine) or is_rootfs_v8: + self.features_map = { + "NEON": "ASIMD", "HALF": "ASIMD", "VFPV4": "ASIMD" + } + else: + self.features_map = dict( + # ELF auxiliary vector and /proc/cpuinfo on Linux kernel(armv8 aarch32) + # doesn't provide information about ASIMD, so we assume that ASIMD is supported + # if the kernel reports any one of the following ARM8 features. + ASIMD=("AES", "SHA1", "SHA2", "PMULL", "CRC32") + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_custom_dtypes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_custom_dtypes.py new file mode 100644 index 0000000000000000000000000000000000000000..6120bb36b32056fe264d47b10e8e022b692b5d68 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_custom_dtypes.py @@ -0,0 +1,311 @@ +from tempfile import NamedTemporaryFile + +import pytest + +import numpy as np +from numpy.testing import assert_array_equal +from numpy._core._multiarray_umath import ( + _discover_array_parameters as discover_array_params, _get_sfloat_dtype) + + +SF = _get_sfloat_dtype() + + +class TestSFloat: + def _get_array(self, scaling, aligned=True): + if not aligned: + a = np.empty(3*8 + 1, dtype=np.uint8)[1:] + a = a.view(np.float64) + a[:] = [1., 2., 3.] + else: + a = np.array([1., 2., 3.]) + + a *= 1./scaling # the casting code also uses the reciprocal. + return a.view(SF(scaling)) + + def test_sfloat_rescaled(self): + sf = SF(1.) + sf2 = sf.scaled_by(2.) + assert sf2.get_scaling() == 2. + sf6 = sf2.scaled_by(3.) + assert sf6.get_scaling() == 6. + + def test_class_discovery(self): + # This does not test much, since we always discover the scaling as 1. + # But most of NumPy (when writing) does not understand DType classes + dt, _ = discover_array_params([1., 2., 3.], dtype=SF) + assert dt == SF(1.) + + @pytest.mark.parametrize("scaling", [1., -1., 2.]) + def test_scaled_float_from_floats(self, scaling): + a = np.array([1., 2., 3.], dtype=SF(scaling)) + + assert a.dtype.get_scaling() == scaling + assert_array_equal(scaling * a.view(np.float64), [1., 2., 3.]) + + def test_repr(self): + # Check the repr, mainly to cover the code paths: + assert repr(SF(scaling=1.)) == "_ScaledFloatTestDType(scaling=1.0)" + + def test_dtype_name(self): + assert SF(1.).name == "_ScaledFloatTestDType64" + + def test_sfloat_structured_dtype_printing(self): + dt = np.dtype([("id", int), ("value", SF(0.5))]) + # repr of structured dtypes need special handling because the + # implementation bypasses the object repr + assert "('value', '_ScaledFloatTestDType64')" in repr(dt) + + @pytest.mark.parametrize("scaling", [1., -1., 2.]) + def test_sfloat_from_float(self, scaling): + a = np.array([1., 2., 3.]).astype(dtype=SF(scaling)) + + assert a.dtype.get_scaling() == scaling + assert_array_equal(scaling * a.view(np.float64), [1., 2., 3.]) + + @pytest.mark.parametrize("aligned", [True, False]) + @pytest.mark.parametrize("scaling", [1., -1., 2.]) + def test_sfloat_getitem(self, aligned, scaling): + a = self._get_array(1., aligned) + assert a.tolist() == [1., 2., 3.] + + @pytest.mark.parametrize("aligned", [True, False]) + def test_sfloat_casts(self, aligned): + a = self._get_array(1., aligned) + + assert np.can_cast(a, SF(-1.), casting="equiv") + assert not np.can_cast(a, SF(-1.), casting="no") + na = a.astype(SF(-1.)) + assert_array_equal(-1 * na.view(np.float64), a.view(np.float64)) + + assert np.can_cast(a, SF(2.), casting="same_kind") + assert not np.can_cast(a, SF(2.), casting="safe") + a2 = a.astype(SF(2.)) + assert_array_equal(2 * a2.view(np.float64), a.view(np.float64)) + + @pytest.mark.parametrize("aligned", [True, False]) + def test_sfloat_cast_internal_errors(self, aligned): + a = self._get_array(2e300, aligned) + + with pytest.raises(TypeError, + match="error raised inside the core-loop: non-finite factor!"): + a.astype(SF(2e-300)) + + def test_sfloat_promotion(self): + assert np.result_type(SF(2.), SF(3.)) == SF(3.) + assert np.result_type(SF(3.), SF(2.)) == SF(3.) + # Float64 -> SF(1.) and then promotes normally, so both of this work: + assert np.result_type(SF(3.), np.float64) == SF(3.) + assert np.result_type(np.float64, SF(0.5)) == SF(1.) + + # Test an undefined promotion: + with pytest.raises(TypeError): + np.result_type(SF(1.), np.int64) + + def test_basic_multiply(self): + a = self._get_array(2.) + b = self._get_array(4.) + + res = a * b + # multiplies dtype scaling and content separately: + assert res.dtype.get_scaling() == 8. + expected_view = a.view(np.float64) * b.view(np.float64) + assert_array_equal(res.view(np.float64), expected_view) + + def test_possible_and_impossible_reduce(self): + # For reductions to work, the first and last operand must have the + # same dtype. For this parametric DType that is not necessarily true. + a = self._get_array(2.) + # Addition reduction works (as of writing requires to pass initial + # because setting a scaled-float from the default `0` fails). + res = np.add.reduce(a, initial=0.) + assert res == a.astype(np.float64).sum() + + # But each multiplication changes the factor, so a reduction is not + # possible (the relaxed version of the old refusal to handle any + # flexible dtype). + with pytest.raises(TypeError, + match="the resolved dtypes are not compatible"): + np.multiply.reduce(a) + + def test_basic_ufunc_at(self): + float_a = np.array([1., 2., 3.]) + b = self._get_array(2.) + + float_b = b.view(np.float64).copy() + np.multiply.at(float_b, [1, 1, 1], float_a) + np.multiply.at(b, [1, 1, 1], float_a) + + assert_array_equal(b.view(np.float64), float_b) + + def test_basic_multiply_promotion(self): + float_a = np.array([1., 2., 3.]) + b = self._get_array(2.) + + res1 = float_a * b + res2 = b * float_a + + # one factor is one, so we get the factor of b: + assert res1.dtype == res2.dtype == b.dtype + expected_view = float_a * b.view(np.float64) + assert_array_equal(res1.view(np.float64), expected_view) + assert_array_equal(res2.view(np.float64), expected_view) + + # Check that promotion works when `out` is used: + np.multiply(b, float_a, out=res2) + with pytest.raises(TypeError): + # The promoter accepts this (maybe it should not), but the SFloat + # result cannot be cast to integer: + np.multiply(b, float_a, out=np.arange(3)) + + def test_basic_addition(self): + a = self._get_array(2.) + b = self._get_array(4.) + + res = a + b + # addition uses the type promotion rules for the result: + assert res.dtype == np.result_type(a.dtype, b.dtype) + expected_view = (a.astype(res.dtype).view(np.float64) + + b.astype(res.dtype).view(np.float64)) + assert_array_equal(res.view(np.float64), expected_view) + + def test_addition_cast_safety(self): + """The addition method is special for the scaled float, because it + includes the "cast" between different factors, thus cast-safety + is influenced by the implementation. + """ + a = self._get_array(2.) + b = self._get_array(-2.) + c = self._get_array(3.) + + # sign change is "equiv": + np.add(a, b, casting="equiv") + with pytest.raises(TypeError): + np.add(a, b, casting="no") + + # Different factor is "same_kind" (default) so check that "safe" fails + with pytest.raises(TypeError): + np.add(a, c, casting="safe") + + # Check that casting the output fails also (done by the ufunc here) + with pytest.raises(TypeError): + np.add(a, a, out=c, casting="safe") + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + def test_logical_ufuncs_casts_to_bool(self, ufunc): + a = self._get_array(2.) + a[0] = 0. # make sure first element is considered False. + + float_equiv = a.astype(float) + expected = ufunc(float_equiv, float_equiv) + res = ufunc(a, a) + assert_array_equal(res, expected) + + # also check that the same works for reductions: + expected = ufunc.reduce(float_equiv) + res = ufunc.reduce(a) + assert_array_equal(res, expected) + + # The output casting does not match the bool, bool -> bool loop: + with pytest.raises(TypeError): + ufunc(a, a, out=np.empty(a.shape, dtype=int), casting="equiv") + + def test_wrapped_and_wrapped_reductions(self): + a = self._get_array(2.) + float_equiv = a.astype(float) + + expected = np.hypot(float_equiv, float_equiv) + res = np.hypot(a, a) + assert res.dtype == a.dtype + res_float = res.view(np.float64) * 2 + assert_array_equal(res_float, expected) + + # Also check reduction (keepdims, due to incorrect getitem) + res = np.hypot.reduce(a, keepdims=True) + assert res.dtype == a.dtype + expected = np.hypot.reduce(float_equiv, keepdims=True) + assert res.view(np.float64) * 2 == expected + + def test_astype_class(self): + # Very simple test that we accept `.astype()` also on the class. + # ScaledFloat always returns the default descriptor, but it does + # check the relevant code paths. + arr = np.array([1., 2., 3.], dtype=object) + + res = arr.astype(SF) # passing the class class + expected = arr.astype(SF(1.)) # above will have discovered 1. scaling + assert_array_equal(res.view(np.float64), expected.view(np.float64)) + + def test_creation_class(self): + # passing in a dtype class should return + # the default descriptor + arr1 = np.array([1., 2., 3.], dtype=SF) + assert arr1.dtype == SF(1.) + arr2 = np.array([1., 2., 3.], dtype=SF(1.)) + assert_array_equal(arr1.view(np.float64), arr2.view(np.float64)) + assert arr1.dtype == arr2.dtype + + assert np.empty(3, dtype=SF).dtype == SF(1.) + assert np.empty_like(arr1, dtype=SF).dtype == SF(1.) + assert np.zeros(3, dtype=SF).dtype == SF(1.) + assert np.zeros_like(arr1, dtype=SF).dtype == SF(1.) + + def test_np_save_load(self): + # this monkeypatch is needed because pickle + # uses the repr of a type to reconstruct it + np._ScaledFloatTestDType = SF + + arr = np.array([1.0, 2.0, 3.0], dtype=SF(1.0)) + + # adapted from RoundtripTest.roundtrip in np.save tests + with NamedTemporaryFile("wb", delete=False, suffix=".npz") as f: + with pytest.warns(UserWarning) as record: + np.savez(f.name, arr) + + assert len(record) == 1 + + with np.load(f.name, allow_pickle=True) as data: + larr = data["arr_0"] + assert_array_equal(arr.view(np.float64), larr.view(np.float64)) + assert larr.dtype == arr.dtype == SF(1.0) + + del np._ScaledFloatTestDType + + def test_flatiter(self): + arr = np.array([1.0, 2.0, 3.0], dtype=SF(1.0)) + + for i, val in enumerate(arr.flat): + assert arr[i] == val + + @pytest.mark.parametrize( + "index", [ + [1, 2], ..., slice(None, 2, None), + np.array([True, True, False]), np.array([0, 1]) + ], ids=["int_list", "ellipsis", "slice", "bool_array", "int_array"]) + def test_flatiter_index(self, index): + arr = np.array([1.0, 2.0, 3.0], dtype=SF(1.0)) + np.testing.assert_array_equal( + arr[index].view(np.float64), arr.flat[index].view(np.float64)) + + arr2 = arr.copy() + arr[index] = 5.0 + arr2.flat[index] = 5.0 + np.testing.assert_array_equal( + arr.view(np.float64), arr2.view(np.float64)) + +def test_type_pickle(): + # can't actually unpickle, but we can pickle (if in namespace) + import pickle + + np._ScaledFloatTestDType = SF + + s = pickle.dumps(SF) + res = pickle.loads(s) + assert res is SF + + del np._ScaledFloatTestDType + + +def test_is_numeric(): + assert SF._is_numeric diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cython.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cython.py new file mode 100644 index 0000000000000000000000000000000000000000..ac29a2f7407b8a56276b6232288b1623ee187baa --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_cython.py @@ -0,0 +1,304 @@ +from datetime import datetime +import os +import subprocess +import sys +import pytest + +import numpy as np +from numpy.testing import assert_array_equal, IS_WASM, IS_EDITABLE + +# This import is copied from random.tests.test_extending +try: + import cython + from Cython.Compiler.Version import version as cython_version +except ImportError: + cython = None +else: + from numpy._utils import _pep440 + + # Note: keep in sync with the one in pyproject.toml + required_version = "3.0.6" + if _pep440.parse(cython_version) < _pep440.Version(required_version): + # too old or wrong cython, skip the test + cython = None + +pytestmark = pytest.mark.skipif(cython is None, reason="requires cython") + + +if IS_EDITABLE: + pytest.skip( + "Editable install doesn't support tests with a compile step", + allow_module_level=True + ) + + +@pytest.fixture(scope='module') +def install_temp(tmpdir_factory): + # Based in part on test_cython from random.tests.test_extending + if IS_WASM: + pytest.skip("No subprocess") + + srcdir = os.path.join(os.path.dirname(__file__), 'examples', 'cython') + build_dir = tmpdir_factory.mktemp("cython_test") / "build" + os.makedirs(build_dir, exist_ok=True) + # Ensure we use the correct Python interpreter even when `meson` is + # installed in a different Python environment (see gh-24956) + native_file = str(build_dir / 'interpreter-native-file.ini') + with open(native_file, 'w') as f: + f.write("[binaries]\n") + f.write(f"python = '{sys.executable}'\n") + f.write(f"python3 = '{sys.executable}'") + + try: + subprocess.check_call(["meson", "--version"]) + except FileNotFoundError: + pytest.skip("No usable 'meson' found") + if sys.platform == "win32": + subprocess.check_call(["meson", "setup", + "--buildtype=release", + "--vsenv", "--native-file", native_file, + str(srcdir)], + cwd=build_dir, + ) + else: + subprocess.check_call(["meson", "setup", + "--native-file", native_file, str(srcdir)], + cwd=build_dir + ) + try: + subprocess.check_call(["meson", "compile", "-vv"], cwd=build_dir) + except subprocess.CalledProcessError: + print("----------------") + print("meson build failed when doing") + print(f"'meson setup --native-file {native_file} {srcdir}'") + print("'meson compile -vv'") + print(f"in {build_dir}") + print("----------------") + raise + + sys.path.append(str(build_dir)) + + +def test_is_timedelta64_object(install_temp): + import checks + + assert checks.is_td64(np.timedelta64(1234)) + assert checks.is_td64(np.timedelta64(1234, "ns")) + assert checks.is_td64(np.timedelta64("NaT", "ns")) + + assert not checks.is_td64(1) + assert not checks.is_td64(None) + assert not checks.is_td64("foo") + assert not checks.is_td64(np.datetime64("now", "s")) + + +def test_is_datetime64_object(install_temp): + import checks + + assert checks.is_dt64(np.datetime64(1234, "ns")) + assert checks.is_dt64(np.datetime64("NaT", "ns")) + + assert not checks.is_dt64(1) + assert not checks.is_dt64(None) + assert not checks.is_dt64("foo") + assert not checks.is_dt64(np.timedelta64(1234)) + + +def test_get_datetime64_value(install_temp): + import checks + + dt64 = np.datetime64("2016-01-01", "ns") + + result = checks.get_dt64_value(dt64) + expected = dt64.view("i8") + + assert result == expected + + +def test_get_timedelta64_value(install_temp): + import checks + + td64 = np.timedelta64(12345, "h") + + result = checks.get_td64_value(td64) + expected = td64.view("i8") + + assert result == expected + + +def test_get_datetime64_unit(install_temp): + import checks + + dt64 = np.datetime64("2016-01-01", "ns") + result = checks.get_dt64_unit(dt64) + expected = 10 + assert result == expected + + td64 = np.timedelta64(12345, "h") + result = checks.get_dt64_unit(td64) + expected = 5 + assert result == expected + + +def test_abstract_scalars(install_temp): + import checks + + assert checks.is_integer(1) + assert checks.is_integer(np.int8(1)) + assert checks.is_integer(np.uint64(1)) + +def test_default_int(install_temp): + import checks + + assert checks.get_default_integer() is np.dtype(int) + + +def test_ravel_axis(install_temp): + import checks + + assert checks.get_ravel_axis() == np.iinfo("intc").min + + +def test_convert_datetime64_to_datetimestruct(install_temp): + # GH#21199 + import checks + + res = checks.convert_datetime64_to_datetimestruct() + + exp = { + "year": 2022, + "month": 3, + "day": 15, + "hour": 20, + "min": 1, + "sec": 55, + "us": 260292, + "ps": 0, + "as": 0, + } + + assert res == exp + + +class TestDatetimeStrings: + def test_make_iso_8601_datetime(self, install_temp): + # GH#21199 + import checks + dt = datetime(2016, 6, 2, 10, 45, 19) + # uses NPY_FR_s + result = checks.make_iso_8601_datetime(dt) + assert result == b"2016-06-02T10:45:19" + + def test_get_datetime_iso_8601_strlen(self, install_temp): + # GH#21199 + import checks + # uses NPY_FR_ns + res = checks.get_datetime_iso_8601_strlen() + assert res == 48 + + +@pytest.mark.parametrize( + "arrays", + [ + [np.random.rand(2)], + [np.random.rand(2), np.random.rand(3, 1)], + [np.random.rand(2), np.random.rand(2, 3, 2), np.random.rand(1, 3, 2)], + [np.random.rand(2, 1)] * 4 + [np.random.rand(1, 1, 1)], + ] +) +def test_multiiter_fields(install_temp, arrays): + import checks + bcast = np.broadcast(*arrays) + + assert bcast.ndim == checks.get_multiiter_number_of_dims(bcast) + assert bcast.size == checks.get_multiiter_size(bcast) + assert bcast.numiter == checks.get_multiiter_num_of_iterators(bcast) + assert bcast.shape == checks.get_multiiter_shape(bcast) + assert bcast.index == checks.get_multiiter_current_index(bcast) + assert all( + x.base is y.base + for x, y in zip(bcast.iters, checks.get_multiiter_iters(bcast)) + ) + + +def test_dtype_flags(install_temp): + import checks + dtype = np.dtype("i,O") # dtype with somewhat interesting flags + assert dtype.flags == checks.get_dtype_flags(dtype) + + +def test_conv_intp(install_temp): + import checks + + class myint: + def __int__(self): + return 3 + + # These conversion passes via `__int__`, not `__index__`: + assert checks.conv_intp(3.) == 3 + assert checks.conv_intp(myint()) == 3 + + +def test_npyiter_api(install_temp): + import checks + arr = np.random.rand(3, 2) + + it = np.nditer(arr) + assert checks.get_npyiter_size(it) == it.itersize == np.prod(arr.shape) + assert checks.get_npyiter_ndim(it) == it.ndim == 1 + assert checks.npyiter_has_index(it) == it.has_index == False + + it = np.nditer(arr, flags=["c_index"]) + assert checks.npyiter_has_index(it) == it.has_index == True + assert ( + checks.npyiter_has_delayed_bufalloc(it) + == it.has_delayed_bufalloc + == False + ) + + it = np.nditer(arr, flags=["buffered", "delay_bufalloc"]) + assert ( + checks.npyiter_has_delayed_bufalloc(it) + == it.has_delayed_bufalloc + == True + ) + + it = np.nditer(arr, flags=["multi_index"]) + assert checks.get_npyiter_size(it) == it.itersize == np.prod(arr.shape) + assert checks.npyiter_has_multi_index(it) == it.has_multi_index == True + assert checks.get_npyiter_ndim(it) == it.ndim == 2 + assert checks.test_get_multi_index_iter_next(it, arr) + + arr2 = np.random.rand(2, 1, 2) + it = np.nditer([arr, arr2]) + assert checks.get_npyiter_nop(it) == it.nop == 2 + assert checks.get_npyiter_size(it) == it.itersize == 12 + assert checks.get_npyiter_ndim(it) == it.ndim == 3 + assert all( + x is y for x, y in zip(checks.get_npyiter_operands(it), it.operands) + ) + assert all( + np.allclose(x, y) + for x, y in zip(checks.get_npyiter_itviews(it), it.itviews) + ) + + +def test_fillwithbytes(install_temp): + import checks + + arr = checks.compile_fillwithbyte() + assert_array_equal(arr, np.ones((1, 2))) + + +def test_complex(install_temp): + from checks import inc2_cfloat_struct + + arr = np.array([0, 10+10j], dtype="F") + inc2_cfloat_struct(arr) + assert arr[1] == (12 + 12j) + + +def test_npy_uintp_type_enum(): + import checks + assert checks.check_npy_uintp_type_enum() + diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_datetime.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_datetime.py new file mode 100644 index 0000000000000000000000000000000000000000..17b25a75716ebaac5da7702a791295ff37297bd8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_datetime.py @@ -0,0 +1,2705 @@ +import datetime +import pickle + +import pytest + +import numpy +import numpy as np +from numpy.testing import ( + IS_WASM, + assert_, assert_equal, assert_raises, assert_warns, suppress_warnings, + assert_raises_regex, assert_array_equal, + ) + +# Use pytz to test out various time zones if available +try: + from pytz import timezone as tz + _has_pytz = True +except ImportError: + _has_pytz = False + +try: + RecursionError +except NameError: + RecursionError = RuntimeError # python < 3.5 + + +def _assert_equal_hash(v1, v2): + assert v1 == v2 + assert hash(v1) == hash(v2) + assert v2 in {v1} + + +class TestDateTime: + + def test_string(self): + msg = "no explicit representation of timezones available for " \ + "np.datetime64" + with pytest.warns(UserWarning, match=msg): + np.datetime64('2000-01-01T00+01') + + def test_datetime(self): + msg = "no explicit representation of timezones available for " \ + "np.datetime64" + with pytest.warns(UserWarning, match=msg): + t0 = np.datetime64('2023-06-09T12:18:40Z', 'ns') + + t0 = np.datetime64('2023-06-09T12:18:40', 'ns') + + def test_datetime_dtype_creation(self): + for unit in ['Y', 'M', 'W', 'D', + 'h', 'm', 's', 'ms', 'us', + 'μs', # alias for us + 'ns', 'ps', 'fs', 'as']: + dt1 = np.dtype('M8[750%s]' % unit) + assert_(dt1 == np.dtype('datetime64[750%s]' % unit)) + dt2 = np.dtype('m8[%s]' % unit) + assert_(dt2 == np.dtype('timedelta64[%s]' % unit)) + + # Generic units shouldn't add [] to the end + assert_equal(str(np.dtype("M8")), "datetime64") + + # Should be possible to specify the endianness + assert_equal(np.dtype("=M8"), np.dtype("M8")) + assert_equal(np.dtype("=M8[s]"), np.dtype("M8[s]")) + assert_(np.dtype(">M8") == np.dtype("M8") or + np.dtype("M8[D]") == np.dtype("M8[D]") or + np.dtype("M8") != np.dtype("m8") == np.dtype("m8") or + np.dtype("m8[D]") == np.dtype("m8[D]") or + np.dtype("m8") != np.dtype(" Scalars + assert_equal(np.datetime64(b, '[s]'), np.datetime64('NaT', '[s]')) + assert_equal(np.datetime64(b, '[ms]'), np.datetime64('NaT', '[ms]')) + assert_equal(np.datetime64(b, '[M]'), np.datetime64('NaT', '[M]')) + assert_equal(np.datetime64(b, '[Y]'), np.datetime64('NaT', '[Y]')) + assert_equal(np.datetime64(b, '[W]'), np.datetime64('NaT', '[W]')) + + # Arrays -> Scalars + assert_equal(np.datetime64(a, '[s]'), np.datetime64('NaT', '[s]')) + assert_equal(np.datetime64(a, '[ms]'), np.datetime64('NaT', '[ms]')) + assert_equal(np.datetime64(a, '[M]'), np.datetime64('NaT', '[M]')) + assert_equal(np.datetime64(a, '[Y]'), np.datetime64('NaT', '[Y]')) + assert_equal(np.datetime64(a, '[W]'), np.datetime64('NaT', '[W]')) + + # NaN -> NaT + nan = np.array([np.nan] * 8 + [0]) + fnan = nan.astype('f') + lnan = nan.astype('g') + cnan = nan.astype('D') + cfnan = nan.astype('F') + clnan = nan.astype('G') + hnan = nan.astype(np.half) + + nat = np.array([np.datetime64('NaT')] * 8 + [np.datetime64(0, 'D')]) + assert_equal(nan.astype('M8[ns]'), nat) + assert_equal(fnan.astype('M8[ns]'), nat) + assert_equal(lnan.astype('M8[ns]'), nat) + assert_equal(cnan.astype('M8[ns]'), nat) + assert_equal(cfnan.astype('M8[ns]'), nat) + assert_equal(clnan.astype('M8[ns]'), nat) + assert_equal(hnan.astype('M8[ns]'), nat) + + nat = np.array([np.timedelta64('NaT')] * 8 + [np.timedelta64(0)]) + assert_equal(nan.astype('timedelta64[ns]'), nat) + assert_equal(fnan.astype('timedelta64[ns]'), nat) + assert_equal(lnan.astype('timedelta64[ns]'), nat) + assert_equal(cnan.astype('timedelta64[ns]'), nat) + assert_equal(cfnan.astype('timedelta64[ns]'), nat) + assert_equal(clnan.astype('timedelta64[ns]'), nat) + assert_equal(hnan.astype('timedelta64[ns]'), nat) + + def test_days_creation(self): + assert_equal(np.array('1599', dtype='M8[D]').astype('i8'), + (1600-1970)*365 - (1972-1600)/4 + 3 - 365) + assert_equal(np.array('1600', dtype='M8[D]').astype('i8'), + (1600-1970)*365 - (1972-1600)/4 + 3) + assert_equal(np.array('1601', dtype='M8[D]').astype('i8'), + (1600-1970)*365 - (1972-1600)/4 + 3 + 366) + assert_equal(np.array('1900', dtype='M8[D]').astype('i8'), + (1900-1970)*365 - (1970-1900)//4) + assert_equal(np.array('1901', dtype='M8[D]').astype('i8'), + (1900-1970)*365 - (1970-1900)//4 + 365) + assert_equal(np.array('1967', dtype='M8[D]').astype('i8'), -3*365 - 1) + assert_equal(np.array('1968', dtype='M8[D]').astype('i8'), -2*365 - 1) + assert_equal(np.array('1969', dtype='M8[D]').astype('i8'), -1*365) + assert_equal(np.array('1970', dtype='M8[D]').astype('i8'), 0*365) + assert_equal(np.array('1971', dtype='M8[D]').astype('i8'), 1*365) + assert_equal(np.array('1972', dtype='M8[D]').astype('i8'), 2*365) + assert_equal(np.array('1973', dtype='M8[D]').astype('i8'), 3*365 + 1) + assert_equal(np.array('1974', dtype='M8[D]').astype('i8'), 4*365 + 1) + assert_equal(np.array('2000', dtype='M8[D]').astype('i8'), + (2000 - 1970)*365 + (2000 - 1972)//4) + assert_equal(np.array('2001', dtype='M8[D]').astype('i8'), + (2000 - 1970)*365 + (2000 - 1972)//4 + 366) + assert_equal(np.array('2400', dtype='M8[D]').astype('i8'), + (2400 - 1970)*365 + (2400 - 1972)//4 - 3) + assert_equal(np.array('2401', dtype='M8[D]').astype('i8'), + (2400 - 1970)*365 + (2400 - 1972)//4 - 3 + 366) + + assert_equal(np.array('1600-02-29', dtype='M8[D]').astype('i8'), + (1600-1970)*365 - (1972-1600)//4 + 3 + 31 + 28) + assert_equal(np.array('1600-03-01', dtype='M8[D]').astype('i8'), + (1600-1970)*365 - (1972-1600)//4 + 3 + 31 + 29) + assert_equal(np.array('2000-02-29', dtype='M8[D]').astype('i8'), + (2000 - 1970)*365 + (2000 - 1972)//4 + 31 + 28) + assert_equal(np.array('2000-03-01', dtype='M8[D]').astype('i8'), + (2000 - 1970)*365 + (2000 - 1972)//4 + 31 + 29) + assert_equal(np.array('2001-03-22', dtype='M8[D]').astype('i8'), + (2000 - 1970)*365 + (2000 - 1972)//4 + 366 + 31 + 28 + 21) + + def test_days_to_pydate(self): + assert_equal(np.array('1599', dtype='M8[D]').astype('O'), + datetime.date(1599, 1, 1)) + assert_equal(np.array('1600', dtype='M8[D]').astype('O'), + datetime.date(1600, 1, 1)) + assert_equal(np.array('1601', dtype='M8[D]').astype('O'), + datetime.date(1601, 1, 1)) + assert_equal(np.array('1900', dtype='M8[D]').astype('O'), + datetime.date(1900, 1, 1)) + assert_equal(np.array('1901', dtype='M8[D]').astype('O'), + datetime.date(1901, 1, 1)) + assert_equal(np.array('2000', dtype='M8[D]').astype('O'), + datetime.date(2000, 1, 1)) + assert_equal(np.array('2001', dtype='M8[D]').astype('O'), + datetime.date(2001, 1, 1)) + assert_equal(np.array('1600-02-29', dtype='M8[D]').astype('O'), + datetime.date(1600, 2, 29)) + assert_equal(np.array('1600-03-01', dtype='M8[D]').astype('O'), + datetime.date(1600, 3, 1)) + assert_equal(np.array('2001-03-22', dtype='M8[D]').astype('O'), + datetime.date(2001, 3, 22)) + + def test_dtype_comparison(self): + assert_(not (np.dtype('M8[us]') == np.dtype('M8[ms]'))) + assert_(np.dtype('M8[us]') != np.dtype('M8[ms]')) + assert_(np.dtype('M8[2D]') != np.dtype('M8[D]')) + assert_(np.dtype('M8[D]') != np.dtype('M8[2D]')) + + def test_pydatetime_creation(self): + a = np.array(['1960-03-12', datetime.date(1960, 3, 12)], dtype='M8[D]') + assert_equal(a[0], a[1]) + a = np.array(['1999-12-31', datetime.date(1999, 12, 31)], dtype='M8[D]') + assert_equal(a[0], a[1]) + a = np.array(['2000-01-01', datetime.date(2000, 1, 1)], dtype='M8[D]') + assert_equal(a[0], a[1]) + # Will fail if the date changes during the exact right moment + a = np.array(['today', datetime.date.today()], dtype='M8[D]') + assert_equal(a[0], a[1]) + # datetime.datetime.now() returns local time, not UTC + #a = np.array(['now', datetime.datetime.now()], dtype='M8[s]') + #assert_equal(a[0], a[1]) + + # we can give a datetime.date time units + assert_equal(np.array(datetime.date(1960, 3, 12), dtype='M8[s]'), + np.array(np.datetime64('1960-03-12T00:00:00'))) + + def test_datetime_string_conversion(self): + a = ['2011-03-16', '1920-01-01', '2013-05-19'] + str_a = np.array(a, dtype='S') + uni_a = np.array(a, dtype='U') + dt_a = np.array(a, dtype='M') + + # String to datetime + assert_equal(dt_a, str_a.astype('M')) + assert_equal(dt_a.dtype, str_a.astype('M').dtype) + dt_b = np.empty_like(dt_a) + dt_b[...] = str_a + assert_equal(dt_a, dt_b) + + # Datetime to string + assert_equal(str_a, dt_a.astype('S0')) + str_b = np.empty_like(str_a) + str_b[...] = dt_a + assert_equal(str_a, str_b) + + # Unicode to datetime + assert_equal(dt_a, uni_a.astype('M')) + assert_equal(dt_a.dtype, uni_a.astype('M').dtype) + dt_b = np.empty_like(dt_a) + dt_b[...] = uni_a + assert_equal(dt_a, dt_b) + + # Datetime to unicode + assert_equal(uni_a, dt_a.astype('U')) + uni_b = np.empty_like(uni_a) + uni_b[...] = dt_a + assert_equal(uni_a, uni_b) + + # Datetime to long string - gh-9712 + assert_equal(str_a, dt_a.astype((np.bytes_, 128))) + str_b = np.empty(str_a.shape, dtype=(np.bytes_, 128)) + str_b[...] = dt_a + assert_equal(str_a, str_b) + + @pytest.mark.parametrize("time_dtype", ["m8[D]", "M8[Y]"]) + def test_time_byteswapping(self, time_dtype): + times = np.array(["2017", "NaT"], dtype=time_dtype) + times_swapped = times.astype(times.dtype.newbyteorder()) + assert_array_equal(times, times_swapped) + + unswapped = times_swapped.view(np.dtype("int64").newbyteorder()) + assert_array_equal(unswapped, times.view(np.int64)) + + @pytest.mark.parametrize(["time1", "time2"], + [("M8[s]", "M8[D]"), ("m8[s]", "m8[ns]")]) + def test_time_byteswapped_cast(self, time1, time2): + dtype1 = np.dtype(time1) + dtype2 = np.dtype(time2) + times = np.array(["2017", "NaT"], dtype=dtype1) + expected = times.astype(dtype2) + + # Test that every byte-swapping combination also returns the same + # results (previous tests check that this comparison works fine). + res = times.astype(dtype1.newbyteorder()).astype(dtype2) + assert_array_equal(res, expected) + res = times.astype(dtype2.newbyteorder()) + assert_array_equal(res, expected) + res = times.astype(dtype1.newbyteorder()).astype(dtype2.newbyteorder()) + assert_array_equal(res, expected) + + @pytest.mark.parametrize("time_dtype", ["m8[D]", "M8[Y]"]) + @pytest.mark.parametrize("str_dtype", ["U", "S"]) + def test_datetime_conversions_byteorders(self, str_dtype, time_dtype): + times = np.array(["2017", "NaT"], dtype=time_dtype) + # Unfortunately, timedelta does not roundtrip: + from_strings = np.array(["2017", "NaT"], dtype=str_dtype) + to_strings = times.astype(str_dtype) # assume this is correct + + # Check that conversion from times to string works if src is swapped: + times_swapped = times.astype(times.dtype.newbyteorder()) + res = times_swapped.astype(str_dtype) + assert_array_equal(res, to_strings) + # And also if both are swapped: + res = times_swapped.astype(to_strings.dtype.newbyteorder()) + assert_array_equal(res, to_strings) + # only destination is swapped: + res = times.astype(to_strings.dtype.newbyteorder()) + assert_array_equal(res, to_strings) + + # Check that conversion from string to times works if src is swapped: + from_strings_swapped = from_strings.astype( + from_strings.dtype.newbyteorder()) + res = from_strings_swapped.astype(time_dtype) + assert_array_equal(res, times) + # And if both are swapped: + res = from_strings_swapped.astype(times.dtype.newbyteorder()) + assert_array_equal(res, times) + # Only destination is swapped: + res = from_strings.astype(times.dtype.newbyteorder()) + assert_array_equal(res, times) + + def test_datetime_array_str(self): + a = np.array(['2011-03-16', '1920-01-01', '2013-05-19'], dtype='M') + assert_equal(str(a), "['2011-03-16' '1920-01-01' '2013-05-19']") + + a = np.array(['2011-03-16T13:55', '1920-01-01T03:12'], dtype='M') + assert_equal(np.array2string(a, separator=', ', + formatter={'datetime': lambda x: + "'%s'" % np.datetime_as_string(x, timezone='UTC')}), + "['2011-03-16T13:55Z', '1920-01-01T03:12Z']") + + # Check that one NaT doesn't corrupt subsequent entries + a = np.array(['2010', 'NaT', '2030']).astype('M') + assert_equal(str(a), "['2010' 'NaT' '2030']") + + def test_timedelta_array_str(self): + a = np.array([-1, 0, 100], dtype='m') + assert_equal(str(a), "[ -1 0 100]") + a = np.array(['NaT', 'NaT'], dtype='m') + assert_equal(str(a), "['NaT' 'NaT']") + # Check right-alignment with NaTs + a = np.array([-1, 'NaT', 0], dtype='m') + assert_equal(str(a), "[ -1 'NaT' 0]") + a = np.array([-1, 'NaT', 1234567], dtype='m') + assert_equal(str(a), "[ -1 'NaT' 1234567]") + + # Test with other byteorder: + a = np.array([-1, 'NaT', 1234567], dtype='>m') + assert_equal(str(a), "[ -1 'NaT' 1234567]") + a = np.array([-1, 'NaT', 1234567], dtype=''\np4\nNNNI-1\nI-1\nI0\n((dp5\n(S'us'\np6\n" + \ + b"I1\nI1\nI1\ntp7\ntp8\ntp9\nb." + assert_equal(pickle.loads(pkl), np.dtype('>M8[us]')) + + def test_setstate(self): + "Verify that datetime dtype __setstate__ can handle bad arguments" + dt = np.dtype('>M8[us]') + assert_raises(ValueError, dt.__setstate__, (4, '>', None, None, None, -1, -1, 0, 1)) + assert_(dt.__reduce__()[2] == np.dtype('>M8[us]').__reduce__()[2]) + assert_raises(TypeError, dt.__setstate__, (4, '>', None, None, None, -1, -1, 0, ({}, 'xxx'))) + assert_(dt.__reduce__()[2] == np.dtype('>M8[us]').__reduce__()[2]) + + def test_dtype_promotion(self): + # datetime datetime computes the metadata gcd + # timedelta timedelta computes the metadata gcd + for mM in ['m', 'M']: + assert_equal( + np.promote_types(np.dtype(mM+'8[2Y]'), np.dtype(mM+'8[2Y]')), + np.dtype(mM+'8[2Y]')) + assert_equal( + np.promote_types(np.dtype(mM+'8[12Y]'), np.dtype(mM+'8[15Y]')), + np.dtype(mM+'8[3Y]')) + assert_equal( + np.promote_types(np.dtype(mM+'8[62M]'), np.dtype(mM+'8[24M]')), + np.dtype(mM+'8[2M]')) + assert_equal( + np.promote_types(np.dtype(mM+'8[1W]'), np.dtype(mM+'8[2D]')), + np.dtype(mM+'8[1D]')) + assert_equal( + np.promote_types(np.dtype(mM+'8[W]'), np.dtype(mM+'8[13s]')), + np.dtype(mM+'8[s]')) + assert_equal( + np.promote_types(np.dtype(mM+'8[13W]'), np.dtype(mM+'8[49s]')), + np.dtype(mM+'8[7s]')) + # timedelta timedelta raises when there is no reasonable gcd + assert_raises(TypeError, np.promote_types, + np.dtype('m8[Y]'), np.dtype('m8[D]')) + assert_raises(TypeError, np.promote_types, + np.dtype('m8[M]'), np.dtype('m8[W]')) + # timedelta and float cannot be safely cast with each other + assert_raises(TypeError, np.promote_types, "float32", "m8") + assert_raises(TypeError, np.promote_types, "m8", "float32") + assert_raises(TypeError, np.promote_types, "uint64", "m8") + assert_raises(TypeError, np.promote_types, "m8", "uint64") + + # timedelta timedelta may overflow with big unit ranges + assert_raises(OverflowError, np.promote_types, + np.dtype('m8[W]'), np.dtype('m8[fs]')) + assert_raises(OverflowError, np.promote_types, + np.dtype('m8[s]'), np.dtype('m8[as]')) + + def test_cast_overflow(self): + # gh-4486 + def cast(): + numpy.datetime64("1971-01-01 00:00:00.000000000000000").astype("datetime64[%s]', + 'timedelta64[%s]']) + def test_isfinite_isinf_isnan_units(self, unit, dstr): + '''check isfinite, isinf, isnan for all units of M, m dtypes + ''' + arr_val = [123, -321, "NaT"] + arr = np.array(arr_val, dtype= dstr % unit) + pos = np.array([True, True, False]) + neg = np.array([False, False, True]) + false = np.array([False, False, False]) + assert_equal(np.isfinite(arr), pos) + assert_equal(np.isinf(arr), false) + assert_equal(np.isnan(arr), neg) + + def test_assert_equal(self): + assert_raises(AssertionError, assert_equal, + np.datetime64('nat'), np.timedelta64('nat')) + + def test_corecursive_input(self): + # construct a co-recursive list + a, b = [], [] + a.append(b) + b.append(a) + obj_arr = np.array([None]) + obj_arr[0] = a + + # At some point this caused a stack overflow (gh-11154). Now raises + # ValueError since the nested list cannot be converted to a datetime. + assert_raises(ValueError, obj_arr.astype, 'M8') + assert_raises(ValueError, obj_arr.astype, 'm8') + + @pytest.mark.parametrize("shape", [(), (1,)]) + def test_discovery_from_object_array(self, shape): + arr = np.array("2020-10-10", dtype=object).reshape(shape) + res = np.array("2020-10-10", dtype="M8").reshape(shape) + assert res.dtype == np.dtype("M8[D]") + assert_equal(arr.astype("M8"), res) + arr[...] = np.bytes_("2020-10-10") # try a numpy string type + assert_equal(arr.astype("M8"), res) + arr = arr.astype("S") + assert_equal(arr.astype("S").astype("M8"), res) + + @pytest.mark.parametrize("time_unit", [ + "Y", "M", "W", "D", "h", "m", "s", "ms", "us", "ns", "ps", "fs", "as", + # compound units + "10D", "2M", + ]) + def test_limit_symmetry(self, time_unit): + """ + Dates should have symmetric limits around the unix epoch at +/-np.int64 + """ + epoch = np.datetime64(0, time_unit) + latest = np.datetime64(np.iinfo(np.int64).max, time_unit) + earliest = np.datetime64(-np.iinfo(np.int64).max, time_unit) + + # above should not have overflowed + assert earliest < epoch < latest + + @pytest.mark.parametrize("time_unit", [ + "Y", "M", + pytest.param("W", marks=pytest.mark.xfail(reason="gh-13197")), + "D", "h", "m", + "s", "ms", "us", "ns", "ps", "fs", "as", + pytest.param("10D", marks=pytest.mark.xfail(reason="similar to gh-13197")), + ]) + @pytest.mark.parametrize("sign", [-1, 1]) + def test_limit_str_roundtrip(self, time_unit, sign): + """ + Limits should roundtrip when converted to strings. + + This tests the conversion to and from npy_datetimestruct. + """ + # TODO: add absolute (gold standard) time span limit strings + limit = np.datetime64(np.iinfo(np.int64).max * sign, time_unit) + + # Convert to string and back. Explicit unit needed since the day and + # week reprs are not distinguishable. + limit_via_str = np.datetime64(str(limit), time_unit) + assert limit_via_str == limit + + def test_datetime_hash_nat(self): + nat1 = np.datetime64() + nat2 = np.datetime64() + assert nat1 is not nat2 + assert nat1 != nat2 + assert hash(nat1) != hash(nat2) + + @pytest.mark.parametrize('unit', ('Y', 'M', 'W', 'D', 'h', 'm', 's', 'ms', 'us')) + def test_datetime_hash_weeks(self, unit): + dt = np.datetime64(2348, 'W') # 2015-01-01 + dt2 = np.datetime64(dt, unit) + _assert_equal_hash(dt, dt2) + + dt3 = np.datetime64(int(dt2.astype(int)) + 1, unit) + assert hash(dt) != hash(dt3) # doesn't collide + + @pytest.mark.parametrize('unit', ('h', 'm', 's', 'ms', 'us')) + def test_datetime_hash_weeks_vs_pydatetime(self, unit): + dt = np.datetime64(2348, 'W') # 2015-01-01 + dt2 = np.datetime64(dt, unit) + pydt = dt2.astype(datetime.datetime) + assert isinstance(pydt, datetime.datetime) + _assert_equal_hash(pydt, dt2) + + @pytest.mark.parametrize('unit', ('Y', 'M', 'W', 'D', 'h', 'm', 's', 'ms', 'us')) + def test_datetime_hash_big_negative(self, unit): + dt = np.datetime64(-102894, 'W') # -002-01-01 + dt2 = np.datetime64(dt, unit) + _assert_equal_hash(dt, dt2) + + # can only go down to "fs" before integer overflow + @pytest.mark.parametrize('unit', ('m', 's', 'ms', 'us', 'ns', 'ps', 'fs')) + def test_datetime_hash_minutes(self, unit): + dt = np.datetime64(3, 'm') + dt2 = np.datetime64(dt, unit) + _assert_equal_hash(dt, dt2) + + @pytest.mark.parametrize('unit', ('ns', 'ps', 'fs', 'as')) + def test_datetime_hash_ns(self, unit): + dt = np.datetime64(3, 'ns') + dt2 = np.datetime64(dt, unit) + _assert_equal_hash(dt, dt2) + + dt3 = np.datetime64(int(dt2.astype(int)) + 1, unit) + assert hash(dt) != hash(dt3) # doesn't collide + + @pytest.mark.parametrize('wk', range(500000, 500010)) # 11552-09-04 + @pytest.mark.parametrize('unit', ('W', 'D', 'h', 'm', 's', 'ms', 'us')) + def test_datetime_hash_big_positive(self, wk, unit): + dt = np.datetime64(wk, 'W') + dt2 = np.datetime64(dt, unit) + _assert_equal_hash(dt, dt2) + + def test_timedelta_hash_generic(self): + assert_raises(ValueError, hash, np.timedelta64(123)) # generic + + @pytest.mark.parametrize('unit', ('Y', 'M')) + def test_timedelta_hash_year_month(self, unit): + td = np.timedelta64(45, 'Y') + td2 = np.timedelta64(td, unit) + _assert_equal_hash(td, td2) + + @pytest.mark.parametrize('unit', ('W', 'D', 'h', 'm', 's', 'ms', 'us')) + def test_timedelta_hash_weeks(self, unit): + td = np.timedelta64(10, 'W') + td2 = np.timedelta64(td, unit) + _assert_equal_hash(td, td2) + + td3 = np.timedelta64(int(td2.astype(int)) + 1, unit) + assert hash(td) != hash(td3) # doesn't collide + + @pytest.mark.parametrize('unit', ('W', 'D', 'h', 'm', 's', 'ms', 'us')) + def test_timedelta_hash_weeks_vs_pydelta(self, unit): + td = np.timedelta64(10, 'W') + td2 = np.timedelta64(td, unit) + pytd = td2.astype(datetime.timedelta) + assert isinstance(pytd, datetime.timedelta) + _assert_equal_hash(pytd, td2) + + @pytest.mark.parametrize('unit', ('ms', 'us', 'ns', 'ps', 'fs', 'as')) + def test_timedelta_hash_ms(self, unit): + td = np.timedelta64(3, 'ms') + td2 = np.timedelta64(td, unit) + _assert_equal_hash(td, td2) + + td3 = np.timedelta64(int(td2.astype(int)) + 1, unit) + assert hash(td) != hash(td3) # doesn't collide + + @pytest.mark.parametrize('wk', range(500000, 500010)) + @pytest.mark.parametrize('unit', ('W', 'D', 'h', 'm', 's', 'ms', 'us')) + def test_timedelta_hash_big_positive(self, wk, unit): + td = np.timedelta64(wk, 'W') + td2 = np.timedelta64(td, unit) + _assert_equal_hash(td, td2) + + +class TestDateTimeData: + + def test_basic(self): + a = np.array(['1980-03-23'], dtype=np.datetime64) + assert_equal(np.datetime_data(a.dtype), ('D', 1)) + + def test_bytes(self): + # byte units are converted to unicode + dt = np.datetime64('2000', (b'ms', 5)) + assert np.datetime_data(dt.dtype) == ('ms', 5) + + dt = np.datetime64('2000', b'5ms') + assert np.datetime_data(dt.dtype) == ('ms', 5) + + def test_non_ascii(self): + # μs is normalized to μ + dt = np.datetime64('2000', ('μs', 5)) + assert np.datetime_data(dt.dtype) == ('us', 5) + + dt = np.datetime64('2000', '5μs') + assert np.datetime_data(dt.dtype) == ('us', 5) + + +def test_comparisons_return_not_implemented(): + # GH#17017 + + class custom: + __array_priority__ = 10000 + + obj = custom() + + dt = np.datetime64('2000', 'ns') + td = dt - dt + + for item in [dt, td]: + assert item.__eq__(obj) is NotImplemented + assert item.__ne__(obj) is NotImplemented + assert item.__le__(obj) is NotImplemented + assert item.__lt__(obj) is NotImplemented + assert item.__ge__(obj) is NotImplemented + assert item.__gt__(obj) is NotImplemented diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_defchararray.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_defchararray.py new file mode 100644 index 0000000000000000000000000000000000000000..6b688ab443a4014772a4fc90b0497ec520b78629 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_defchararray.py @@ -0,0 +1,822 @@ +import pytest + +import numpy as np +from numpy._core.multiarray import _vec_string +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_raises, + assert_raises_regex + ) + +kw_unicode_true = {'unicode': True} # make 2to3 work properly +kw_unicode_false = {'unicode': False} + +class TestBasic: + def test_from_object_array(self): + A = np.array([['abc', 2], + ['long ', '0123456789']], dtype='O') + B = np.char.array(A) + assert_equal(B.dtype.itemsize, 10) + assert_array_equal(B, [[b'abc', b'2'], + [b'long', b'0123456789']]) + + def test_from_object_array_unicode(self): + A = np.array([['abc', 'Sigma \u03a3'], + ['long ', '0123456789']], dtype='O') + assert_raises(ValueError, np.char.array, (A,)) + B = np.char.array(A, **kw_unicode_true) + assert_equal(B.dtype.itemsize, 10 * np.array('a', 'U').dtype.itemsize) + assert_array_equal(B, [['abc', 'Sigma \u03a3'], + ['long', '0123456789']]) + + def test_from_string_array(self): + A = np.array([[b'abc', b'foo'], + [b'long ', b'0123456789']]) + assert_equal(A.dtype.type, np.bytes_) + B = np.char.array(A) + assert_array_equal(B, A) + assert_equal(B.dtype, A.dtype) + assert_equal(B.shape, A.shape) + B[0, 0] = 'changed' + assert_(B[0, 0] != A[0, 0]) + C = np.char.asarray(A) + assert_array_equal(C, A) + assert_equal(C.dtype, A.dtype) + C[0, 0] = 'changed again' + assert_(C[0, 0] != B[0, 0]) + assert_(C[0, 0] == A[0, 0]) + + def test_from_unicode_array(self): + A = np.array([['abc', 'Sigma \u03a3'], + ['long ', '0123456789']]) + assert_equal(A.dtype.type, np.str_) + B = np.char.array(A) + assert_array_equal(B, A) + assert_equal(B.dtype, A.dtype) + assert_equal(B.shape, A.shape) + B = np.char.array(A, **kw_unicode_true) + assert_array_equal(B, A) + assert_equal(B.dtype, A.dtype) + assert_equal(B.shape, A.shape) + + def fail(): + np.char.array(A, **kw_unicode_false) + + assert_raises(UnicodeEncodeError, fail) + + def test_unicode_upconvert(self): + A = np.char.array(['abc']) + B = np.char.array(['\u03a3']) + assert_(issubclass((A + B).dtype.type, np.str_)) + + def test_from_string(self): + A = np.char.array(b'abc') + assert_equal(len(A), 1) + assert_equal(len(A[0]), 3) + assert_(issubclass(A.dtype.type, np.bytes_)) + + def test_from_unicode(self): + A = np.char.array('\u03a3') + assert_equal(len(A), 1) + assert_equal(len(A[0]), 1) + assert_equal(A.itemsize, 4) + assert_(issubclass(A.dtype.type, np.str_)) + +class TestVecString: + def test_non_existent_method(self): + + def fail(): + _vec_string('a', np.bytes_, 'bogus') + + assert_raises(AttributeError, fail) + + def test_non_string_array(self): + + def fail(): + _vec_string(1, np.bytes_, 'strip') + + assert_raises(TypeError, fail) + + def test_invalid_args_tuple(self): + + def fail(): + _vec_string(['a'], np.bytes_, 'strip', 1) + + assert_raises(TypeError, fail) + + def test_invalid_type_descr(self): + + def fail(): + _vec_string(['a'], 'BOGUS', 'strip') + + assert_raises(TypeError, fail) + + def test_invalid_function_args(self): + + def fail(): + _vec_string(['a'], np.bytes_, 'strip', (1,)) + + assert_raises(TypeError, fail) + + def test_invalid_result_type(self): + + def fail(): + _vec_string(['a'], np.int_, 'strip') + + assert_raises(TypeError, fail) + + def test_broadcast_error(self): + + def fail(): + _vec_string([['abc', 'def']], np.int_, 'find', (['a', 'd', 'j'],)) + + assert_raises(ValueError, fail) + + +class TestWhitespace: + def setup_method(self): + self.A = np.array([['abc ', '123 '], + ['789 ', 'xyz ']]).view(np.char.chararray) + self.B = np.array([['abc', '123'], + ['789', 'xyz']]).view(np.char.chararray) + + def test1(self): + assert_(np.all(self.A == self.B)) + assert_(np.all(self.A >= self.B)) + assert_(np.all(self.A <= self.B)) + assert_(not np.any(self.A > self.B)) + assert_(not np.any(self.A < self.B)) + assert_(not np.any(self.A != self.B)) + +class TestChar: + def setup_method(self): + self.A = np.array('abc1', dtype='c').view(np.char.chararray) + + def test_it(self): + assert_equal(self.A.shape, (4,)) + assert_equal(self.A.upper()[:2].tobytes(), b'AB') + +class TestComparisons: + def setup_method(self): + self.A = np.array([['abc', 'abcc', '123'], + ['789', 'abc', 'xyz']]).view(np.char.chararray) + self.B = np.array([['efg', 'efg', '123 '], + ['051', 'efgg', 'tuv']]).view(np.char.chararray) + + def test_not_equal(self): + assert_array_equal((self.A != self.B), + [[True, True, False], [True, True, True]]) + + def test_equal(self): + assert_array_equal((self.A == self.B), + [[False, False, True], [False, False, False]]) + + def test_greater_equal(self): + assert_array_equal((self.A >= self.B), + [[False, False, True], [True, False, True]]) + + def test_less_equal(self): + assert_array_equal((self.A <= self.B), + [[True, True, True], [False, True, False]]) + + def test_greater(self): + assert_array_equal((self.A > self.B), + [[False, False, False], [True, False, True]]) + + def test_less(self): + assert_array_equal((self.A < self.B), + [[True, True, False], [False, True, False]]) + + def test_type(self): + out1 = np.char.equal(self.A, self.B) + out2 = np.char.equal('a', 'a') + assert_(isinstance(out1, np.ndarray)) + assert_(isinstance(out2, np.ndarray)) + +class TestComparisonsMixed1(TestComparisons): + """Ticket #1276""" + + def setup_method(self): + TestComparisons.setup_method(self) + self.B = np.array( + [['efg', 'efg', '123 '], + ['051', 'efgg', 'tuv']], np.str_).view(np.char.chararray) + +class TestComparisonsMixed2(TestComparisons): + """Ticket #1276""" + + def setup_method(self): + TestComparisons.setup_method(self) + self.A = np.array( + [['abc', 'abcc', '123'], + ['789', 'abc', 'xyz']], np.str_).view(np.char.chararray) + +class TestInformation: + def setup_method(self): + self.A = np.array([[' abc ', ''], + ['12345', 'MixedCase'], + ['123 \t 345 \0 ', 'UPPER']]) \ + .view(np.char.chararray) + self.B = np.array([[' \u03a3 ', ''], + ['12345', 'MixedCase'], + ['123 \t 345 \0 ', 'UPPER']]) \ + .view(np.char.chararray) + # Array with longer strings, > MEMCHR_CUT_OFF in code. + self.C = (np.array(['ABCDEFGHIJKLMNOPQRSTUVWXYZ', + '01234567890123456789012345']) + .view(np.char.chararray)) + + def test_len(self): + assert_(issubclass(np.char.str_len(self.A).dtype.type, np.integer)) + assert_array_equal(np.char.str_len(self.A), [[5, 0], [5, 9], [12, 5]]) + assert_array_equal(np.char.str_len(self.B), [[3, 0], [5, 9], [12, 5]]) + + def test_count(self): + assert_(issubclass(self.A.count('').dtype.type, np.integer)) + assert_array_equal(self.A.count('a'), [[1, 0], [0, 1], [0, 0]]) + assert_array_equal(self.A.count('123'), [[0, 0], [1, 0], [1, 0]]) + # Python doesn't seem to like counting NULL characters + # assert_array_equal(self.A.count('\0'), [[0, 0], [0, 0], [1, 0]]) + assert_array_equal(self.A.count('a', 0, 2), [[1, 0], [0, 0], [0, 0]]) + assert_array_equal(self.B.count('a'), [[0, 0], [0, 1], [0, 0]]) + assert_array_equal(self.B.count('123'), [[0, 0], [1, 0], [1, 0]]) + # assert_array_equal(self.B.count('\0'), [[0, 0], [0, 0], [1, 0]]) + + def test_endswith(self): + assert_(issubclass(self.A.endswith('').dtype.type, np.bool)) + assert_array_equal(self.A.endswith(' '), [[1, 0], [0, 0], [1, 0]]) + assert_array_equal(self.A.endswith('3', 0, 3), [[0, 0], [1, 0], [1, 0]]) + + def fail(): + self.A.endswith('3', 'fdjk') + + assert_raises(TypeError, fail) + + @pytest.mark.parametrize( + "dtype, encode", + [("U", str), + ("S", lambda x: x.encode('ascii')), + ]) + def test_find(self, dtype, encode): + A = self.A.astype(dtype) + assert_(issubclass(A.find(encode('a')).dtype.type, np.integer)) + assert_array_equal(A.find(encode('a')), + [[1, -1], [-1, 6], [-1, -1]]) + assert_array_equal(A.find(encode('3')), + [[-1, -1], [2, -1], [2, -1]]) + assert_array_equal(A.find(encode('a'), 0, 2), + [[1, -1], [-1, -1], [-1, -1]]) + assert_array_equal(A.find([encode('1'), encode('P')]), + [[-1, -1], [0, -1], [0, 1]]) + C = self.C.astype(dtype) + assert_array_equal(C.find(encode('M')), [12, -1]) + + def test_index(self): + + def fail(): + self.A.index('a') + + assert_raises(ValueError, fail) + assert_(np.char.index('abcba', 'b') == 1) + assert_(issubclass(np.char.index('abcba', 'b').dtype.type, np.integer)) + + def test_isalnum(self): + assert_(issubclass(self.A.isalnum().dtype.type, np.bool)) + assert_array_equal(self.A.isalnum(), [[False, False], [True, True], [False, True]]) + + def test_isalpha(self): + assert_(issubclass(self.A.isalpha().dtype.type, np.bool)) + assert_array_equal(self.A.isalpha(), [[False, False], [False, True], [False, True]]) + + def test_isdigit(self): + assert_(issubclass(self.A.isdigit().dtype.type, np.bool)) + assert_array_equal(self.A.isdigit(), [[False, False], [True, False], [False, False]]) + + def test_islower(self): + assert_(issubclass(self.A.islower().dtype.type, np.bool)) + assert_array_equal(self.A.islower(), [[True, False], [False, False], [False, False]]) + + def test_isspace(self): + assert_(issubclass(self.A.isspace().dtype.type, np.bool)) + assert_array_equal(self.A.isspace(), [[False, False], [False, False], [False, False]]) + + def test_istitle(self): + assert_(issubclass(self.A.istitle().dtype.type, np.bool)) + assert_array_equal(self.A.istitle(), [[False, False], [False, False], [False, False]]) + + def test_isupper(self): + assert_(issubclass(self.A.isupper().dtype.type, np.bool)) + assert_array_equal(self.A.isupper(), [[False, False], [False, False], [False, True]]) + + def test_rfind(self): + assert_(issubclass(self.A.rfind('a').dtype.type, np.integer)) + assert_array_equal(self.A.rfind('a'), [[1, -1], [-1, 6], [-1, -1]]) + assert_array_equal(self.A.rfind('3'), [[-1, -1], [2, -1], [6, -1]]) + assert_array_equal(self.A.rfind('a', 0, 2), [[1, -1], [-1, -1], [-1, -1]]) + assert_array_equal(self.A.rfind(['1', 'P']), [[-1, -1], [0, -1], [0, 2]]) + + def test_rindex(self): + + def fail(): + self.A.rindex('a') + + assert_raises(ValueError, fail) + assert_(np.char.rindex('abcba', 'b') == 3) + assert_(issubclass(np.char.rindex('abcba', 'b').dtype.type, np.integer)) + + def test_startswith(self): + assert_(issubclass(self.A.startswith('').dtype.type, np.bool)) + assert_array_equal(self.A.startswith(' '), [[1, 0], [0, 0], [0, 0]]) + assert_array_equal(self.A.startswith('1', 0, 3), [[0, 0], [1, 0], [1, 0]]) + + def fail(): + self.A.startswith('3', 'fdjk') + + assert_raises(TypeError, fail) + + +class TestMethods: + def setup_method(self): + self.A = np.array([[' abc ', ''], + ['12345', 'MixedCase'], + ['123 \t 345 \0 ', 'UPPER']], + dtype='S').view(np.char.chararray) + self.B = np.array([[' \u03a3 ', ''], + ['12345', 'MixedCase'], + ['123 \t 345 \0 ', 'UPPER']]).view( + np.char.chararray) + + def test_capitalize(self): + tgt = [[b' abc ', b''], + [b'12345', b'Mixedcase'], + [b'123 \t 345 \0 ', b'Upper']] + assert_(issubclass(self.A.capitalize().dtype.type, np.bytes_)) + assert_array_equal(self.A.capitalize(), tgt) + + tgt = [[' \u03c3 ', ''], + ['12345', 'Mixedcase'], + ['123 \t 345 \0 ', 'Upper']] + assert_(issubclass(self.B.capitalize().dtype.type, np.str_)) + assert_array_equal(self.B.capitalize(), tgt) + + def test_center(self): + assert_(issubclass(self.A.center(10).dtype.type, np.bytes_)) + C = self.A.center([10, 20]) + assert_array_equal(np.char.str_len(C), [[10, 20], [10, 20], [12, 20]]) + + C = self.A.center(20, b'#') + assert_(np.all(C.startswith(b'#'))) + assert_(np.all(C.endswith(b'#'))) + + C = np.char.center(b'FOO', [[10, 20], [15, 8]]) + tgt = [[b' FOO ', b' FOO '], + [b' FOO ', b' FOO ']] + assert_(issubclass(C.dtype.type, np.bytes_)) + assert_array_equal(C, tgt) + + def test_decode(self): + A = np.char.array([b'\\u03a3']) + assert_(A.decode('unicode-escape')[0] == '\u03a3') + + def test_encode(self): + B = self.B.encode('unicode_escape') + assert_(B[0][0] == str(' \\u03a3 ').encode('latin1')) + + def test_expandtabs(self): + T = self.A.expandtabs() + assert_(T[2, 0] == b'123 345 \0') + + def test_join(self): + # NOTE: list(b'123') == [49, 50, 51] + # so that b','.join(b'123') results to an error on Py3 + A0 = self.A.decode('ascii') + + A = np.char.join([',', '#'], A0) + assert_(issubclass(A.dtype.type, np.str_)) + tgt = np.array([[' ,a,b,c, ', ''], + ['1,2,3,4,5', 'M#i#x#e#d#C#a#s#e'], + ['1,2,3, ,\t, ,3,4,5, ,\x00, ', 'U#P#P#E#R']]) + assert_array_equal(np.char.join([',', '#'], A0), tgt) + + def test_ljust(self): + assert_(issubclass(self.A.ljust(10).dtype.type, np.bytes_)) + + C = self.A.ljust([10, 20]) + assert_array_equal(np.char.str_len(C), [[10, 20], [10, 20], [12, 20]]) + + C = self.A.ljust(20, b'#') + assert_array_equal(C.startswith(b'#'), [ + [False, True], [False, False], [False, False]]) + assert_(np.all(C.endswith(b'#'))) + + C = np.char.ljust(b'FOO', [[10, 20], [15, 8]]) + tgt = [[b'FOO ', b'FOO '], + [b'FOO ', b'FOO ']] + assert_(issubclass(C.dtype.type, np.bytes_)) + assert_array_equal(C, tgt) + + def test_lower(self): + tgt = [[b' abc ', b''], + [b'12345', b'mixedcase'], + [b'123 \t 345 \0 ', b'upper']] + assert_(issubclass(self.A.lower().dtype.type, np.bytes_)) + assert_array_equal(self.A.lower(), tgt) + + tgt = [[' \u03c3 ', ''], + ['12345', 'mixedcase'], + ['123 \t 345 \0 ', 'upper']] + assert_(issubclass(self.B.lower().dtype.type, np.str_)) + assert_array_equal(self.B.lower(), tgt) + + def test_lstrip(self): + tgt = [[b'abc ', b''], + [b'12345', b'MixedCase'], + [b'123 \t 345 \0 ', b'UPPER']] + assert_(issubclass(self.A.lstrip().dtype.type, np.bytes_)) + assert_array_equal(self.A.lstrip(), tgt) + + tgt = [[b' abc', b''], + [b'2345', b'ixedCase'], + [b'23 \t 345 \x00', b'UPPER']] + assert_array_equal(self.A.lstrip([b'1', b'M']), tgt) + + tgt = [['\u03a3 ', ''], + ['12345', 'MixedCase'], + ['123 \t 345 \0 ', 'UPPER']] + assert_(issubclass(self.B.lstrip().dtype.type, np.str_)) + assert_array_equal(self.B.lstrip(), tgt) + + def test_partition(self): + P = self.A.partition([b'3', b'M']) + tgt = [[(b' abc ', b'', b''), (b'', b'', b'')], + [(b'12', b'3', b'45'), (b'', b'M', b'ixedCase')], + [(b'12', b'3', b' \t 345 \0 '), (b'UPPER', b'', b'')]] + assert_(issubclass(P.dtype.type, np.bytes_)) + assert_array_equal(P, tgt) + + def test_replace(self): + R = self.A.replace([b'3', b'a'], + [b'##########', b'@']) + tgt = [[b' abc ', b''], + [b'12##########45', b'MixedC@se'], + [b'12########## \t ##########45 \x00 ', b'UPPER']] + assert_(issubclass(R.dtype.type, np.bytes_)) + assert_array_equal(R, tgt) + # Test special cases that should just return the input array, + # since replacements are not possible or do nothing. + S1 = self.A.replace(b'A very long byte string, longer than A', b'') + assert_array_equal(S1, self.A) + S2 = self.A.replace(b'', b'') + assert_array_equal(S2, self.A) + S3 = self.A.replace(b'3', b'3') + assert_array_equal(S3, self.A) + S4 = self.A.replace(b'3', b'', count=0) + assert_array_equal(S4, self.A) + + def test_replace_count_and_size(self): + a = np.array(['0123456789' * i for i in range(4)] + ).view(np.char.chararray) + r1 = a.replace('5', 'ABCDE') + assert r1.dtype.itemsize == (3*10 + 3*4) * 4 + assert_array_equal(r1, np.array(['01234ABCDE6789' * i + for i in range(4)])) + r2 = a.replace('5', 'ABCDE', count=1) + assert r2.dtype.itemsize == (3*10 + 4) * 4 + r3 = a.replace('5', 'ABCDE', count=0) + assert r3.dtype.itemsize == a.dtype.itemsize + assert_array_equal(r3, a) + # Negative values mean to replace all. + r4 = a.replace('5', 'ABCDE', count=-1) + assert r4.dtype.itemsize == (3*10 + 3*4) * 4 + assert_array_equal(r4, r1) + # We can do count on an element-by-element basis. + r5 = a.replace('5', 'ABCDE', count=[-1, -1, -1, 1]) + assert r5.dtype.itemsize == (3*10 + 4) * 4 + assert_array_equal(r5, np.array( + ['01234ABCDE6789' * i for i in range(3)] + + ['01234ABCDE6789' + '0123456789' * 2])) + + def test_replace_broadcasting(self): + a = np.array('0,0,0').view(np.char.chararray) + r1 = a.replace('0', '1', count=np.arange(3)) + assert r1.dtype == a.dtype + assert_array_equal(r1, np.array(['0,0,0', '1,0,0', '1,1,0'])) + r2 = a.replace('0', [['1'], ['2']], count=np.arange(1, 4)) + assert_array_equal(r2, np.array([['1,0,0', '1,1,0', '1,1,1'], + ['2,0,0', '2,2,0', '2,2,2']])) + r3 = a.replace(['0', '0,0', '0,0,0'], 'X') + assert_array_equal(r3, np.array(['X,X,X', 'X,0', 'X'])) + + def test_rjust(self): + assert_(issubclass(self.A.rjust(10).dtype.type, np.bytes_)) + + C = self.A.rjust([10, 20]) + assert_array_equal(np.char.str_len(C), [[10, 20], [10, 20], [12, 20]]) + + C = self.A.rjust(20, b'#') + assert_(np.all(C.startswith(b'#'))) + assert_array_equal(C.endswith(b'#'), + [[False, True], [False, False], [False, False]]) + + C = np.char.rjust(b'FOO', [[10, 20], [15, 8]]) + tgt = [[b' FOO', b' FOO'], + [b' FOO', b' FOO']] + assert_(issubclass(C.dtype.type, np.bytes_)) + assert_array_equal(C, tgt) + + def test_rpartition(self): + P = self.A.rpartition([b'3', b'M']) + tgt = [[(b'', b'', b' abc '), (b'', b'', b'')], + [(b'12', b'3', b'45'), (b'', b'M', b'ixedCase')], + [(b'123 \t ', b'3', b'45 \0 '), (b'', b'', b'UPPER')]] + assert_(issubclass(P.dtype.type, np.bytes_)) + assert_array_equal(P, tgt) + + def test_rsplit(self): + A = self.A.rsplit(b'3') + tgt = [[[b' abc '], [b'']], + [[b'12', b'45'], [b'MixedCase']], + [[b'12', b' \t ', b'45 \x00 '], [b'UPPER']]] + assert_(issubclass(A.dtype.type, np.object_)) + assert_equal(A.tolist(), tgt) + + def test_rstrip(self): + assert_(issubclass(self.A.rstrip().dtype.type, np.bytes_)) + + tgt = [[b' abc', b''], + [b'12345', b'MixedCase'], + [b'123 \t 345', b'UPPER']] + assert_array_equal(self.A.rstrip(), tgt) + + tgt = [[b' abc ', b''], + [b'1234', b'MixedCase'], + [b'123 \t 345 \x00', b'UPP'] + ] + assert_array_equal(self.A.rstrip([b'5', b'ER']), tgt) + + tgt = [[' \u03a3', ''], + ['12345', 'MixedCase'], + ['123 \t 345', 'UPPER']] + assert_(issubclass(self.B.rstrip().dtype.type, np.str_)) + assert_array_equal(self.B.rstrip(), tgt) + + def test_strip(self): + tgt = [[b'abc', b''], + [b'12345', b'MixedCase'], + [b'123 \t 345', b'UPPER']] + assert_(issubclass(self.A.strip().dtype.type, np.bytes_)) + assert_array_equal(self.A.strip(), tgt) + + tgt = [[b' abc ', b''], + [b'234', b'ixedCas'], + [b'23 \t 345 \x00', b'UPP']] + assert_array_equal(self.A.strip([b'15', b'EReM']), tgt) + + tgt = [['\u03a3', ''], + ['12345', 'MixedCase'], + ['123 \t 345', 'UPPER']] + assert_(issubclass(self.B.strip().dtype.type, np.str_)) + assert_array_equal(self.B.strip(), tgt) + + def test_split(self): + A = self.A.split(b'3') + tgt = [ + [[b' abc '], [b'']], + [[b'12', b'45'], [b'MixedCase']], + [[b'12', b' \t ', b'45 \x00 '], [b'UPPER']]] + assert_(issubclass(A.dtype.type, np.object_)) + assert_equal(A.tolist(), tgt) + + def test_splitlines(self): + A = np.char.array(['abc\nfds\nwer']).splitlines() + assert_(issubclass(A.dtype.type, np.object_)) + assert_(A.shape == (1,)) + assert_(len(A[0]) == 3) + + def test_swapcase(self): + tgt = [[b' ABC ', b''], + [b'12345', b'mIXEDcASE'], + [b'123 \t 345 \0 ', b'upper']] + assert_(issubclass(self.A.swapcase().dtype.type, np.bytes_)) + assert_array_equal(self.A.swapcase(), tgt) + + tgt = [[' \u03c3 ', ''], + ['12345', 'mIXEDcASE'], + ['123 \t 345 \0 ', 'upper']] + assert_(issubclass(self.B.swapcase().dtype.type, np.str_)) + assert_array_equal(self.B.swapcase(), tgt) + + def test_title(self): + tgt = [[b' Abc ', b''], + [b'12345', b'Mixedcase'], + [b'123 \t 345 \0 ', b'Upper']] + assert_(issubclass(self.A.title().dtype.type, np.bytes_)) + assert_array_equal(self.A.title(), tgt) + + tgt = [[' \u03a3 ', ''], + ['12345', 'Mixedcase'], + ['123 \t 345 \0 ', 'Upper']] + assert_(issubclass(self.B.title().dtype.type, np.str_)) + assert_array_equal(self.B.title(), tgt) + + def test_upper(self): + tgt = [[b' ABC ', b''], + [b'12345', b'MIXEDCASE'], + [b'123 \t 345 \0 ', b'UPPER']] + assert_(issubclass(self.A.upper().dtype.type, np.bytes_)) + assert_array_equal(self.A.upper(), tgt) + + tgt = [[' \u03a3 ', ''], + ['12345', 'MIXEDCASE'], + ['123 \t 345 \0 ', 'UPPER']] + assert_(issubclass(self.B.upper().dtype.type, np.str_)) + assert_array_equal(self.B.upper(), tgt) + + def test_isnumeric(self): + + def fail(): + self.A.isnumeric() + + assert_raises(TypeError, fail) + assert_(issubclass(self.B.isnumeric().dtype.type, np.bool)) + assert_array_equal(self.B.isnumeric(), [ + [False, False], [True, False], [False, False]]) + + def test_isdecimal(self): + + def fail(): + self.A.isdecimal() + + assert_raises(TypeError, fail) + assert_(issubclass(self.B.isdecimal().dtype.type, np.bool)) + assert_array_equal(self.B.isdecimal(), [ + [False, False], [True, False], [False, False]]) + + +class TestOperations: + def setup_method(self): + self.A = np.array([['abc', '123'], + ['789', 'xyz']]).view(np.char.chararray) + self.B = np.array([['efg', '456'], + ['051', 'tuv']]).view(np.char.chararray) + + def test_add(self): + AB = np.array([['abcefg', '123456'], + ['789051', 'xyztuv']]).view(np.char.chararray) + assert_array_equal(AB, (self.A + self.B)) + assert_(len((self.A + self.B)[0][0]) == 6) + + def test_radd(self): + QA = np.array([['qabc', 'q123'], + ['q789', 'qxyz']]).view(np.char.chararray) + assert_array_equal(QA, ('q' + self.A)) + + def test_mul(self): + A = self.A + for r in (2, 3, 5, 7, 197): + Ar = np.array([[A[0, 0]*r, A[0, 1]*r], + [A[1, 0]*r, A[1, 1]*r]]).view(np.char.chararray) + + assert_array_equal(Ar, (self.A * r)) + + for ob in [object(), 'qrs']: + with assert_raises_regex(ValueError, + 'Can only multiply by integers'): + A*ob + + def test_rmul(self): + A = self.A + for r in (2, 3, 5, 7, 197): + Ar = np.array([[A[0, 0]*r, A[0, 1]*r], + [A[1, 0]*r, A[1, 1]*r]]).view(np.char.chararray) + assert_array_equal(Ar, (r * self.A)) + + for ob in [object(), 'qrs']: + with assert_raises_regex(ValueError, + 'Can only multiply by integers'): + ob * A + + def test_mod(self): + """Ticket #856""" + F = np.array([['%d', '%f'], ['%s', '%r']]).view(np.char.chararray) + C = np.array([[3, 7], [19, 1]], dtype=np.int64) + FC = np.array([['3', '7.000000'], + ['19', 'np.int64(1)']]).view(np.char.chararray) + assert_array_equal(FC, F % C) + + A = np.array([['%.3f', '%d'], ['%s', '%r']]).view(np.char.chararray) + A1 = np.array([['1.000', '1'], + ['1', repr(np.array(1)[()])]]).view(np.char.chararray) + assert_array_equal(A1, (A % 1)) + + A2 = np.array([['1.000', '2'], + ['3', repr(np.array(4)[()])]]).view(np.char.chararray) + assert_array_equal(A2, (A % [[1, 2], [3, 4]])) + + def test_rmod(self): + assert_(("%s" % self.A) == str(self.A)) + assert_(("%r" % self.A) == repr(self.A)) + + for ob in [42, object()]: + with assert_raises_regex( + TypeError, "unsupported operand type.* and 'chararray'"): + ob % self.A + + def test_slice(self): + """Regression test for https://github.com/numpy/numpy/issues/5982""" + + arr = np.array([['abc ', 'def '], ['geh ', 'ijk ']], + dtype='S4').view(np.char.chararray) + sl1 = arr[:] + assert_array_equal(sl1, arr) + assert_(sl1.base is arr) + assert_(sl1.base.base is arr.base) + + sl2 = arr[:, :] + assert_array_equal(sl2, arr) + assert_(sl2.base is arr) + assert_(sl2.base.base is arr.base) + + assert_(arr[0, 0] == b'abc') + + @pytest.mark.parametrize('data', [['plate', ' ', 'shrimp'], + [b'retro', b' ', b'encabulator']]) + def test_getitem_length_zero_item(self, data): + # Regression test for gh-26375. + a = np.char.array(data) + # a.dtype.type() will be an empty string or bytes instance. + # The equality test will fail if a[1] has the wrong type + # or does not have length 0. + assert_equal(a[1], a.dtype.type()) + + +class TestMethodsEmptyArray: + def setup_method(self): + self.U = np.array([], dtype='U') + self.S = np.array([], dtype='S') + + def test_encode(self): + res = np.char.encode(self.U) + assert_array_equal(res, []) + assert_(res.dtype.char == 'S') + + def test_decode(self): + res = np.char.decode(self.S) + assert_array_equal(res, []) + assert_(res.dtype.char == 'U') + + def test_decode_with_reshape(self): + res = np.char.decode(self.S.reshape((1, 0, 1))) + assert_(res.shape == (1, 0, 1)) + + +class TestMethodsScalarValues: + def test_mod(self): + A = np.array([[' abc ', ''], + ['12345', 'MixedCase'], + ['123 \t 345 \0 ', 'UPPER']], dtype='S') + tgt = [[b'123 abc ', b'123'], + [b'12312345', b'123MixedCase'], + [b'123123 \t 345 \0 ', b'123UPPER']] + assert_array_equal(np.char.mod(b"123%s", A), tgt) + + def test_decode(self): + bytestring = b'\x81\xc1\x81\xc1\x81\xc1' + assert_equal(np.char.decode(bytestring, encoding='cp037'), + 'aAaAaA') + + def test_encode(self): + unicode = 'aAaAaA' + assert_equal(np.char.encode(unicode, encoding='cp037'), + b'\x81\xc1\x81\xc1\x81\xc1') + + def test_expandtabs(self): + s = "\tone level of indentation\n\t\ttwo levels of indentation" + assert_equal( + np.char.expandtabs(s, tabsize=2), + " one level of indentation\n two levels of indentation" + ) + + def test_join(self): + seps = np.array(['-', '_']) + assert_array_equal(np.char.join(seps, 'hello'), + ['h-e-l-l-o', 'h_e_l_l_o']) + + def test_partition(self): + assert_equal(np.char.partition('This string', ' '), + ['This', ' ', 'string']) + + def test_rpartition(self): + assert_equal(np.char.rpartition('This string here', ' '), + ['This string', ' ', 'here']) + + def test_replace(self): + assert_equal(np.char.replace('Python is good', 'good', 'great'), + 'Python is great') + + +def test_empty_indexing(): + """Regression test for ticket 1948.""" + # Check that indexing a chararray with an empty list/array returns an + # empty chararray instead of a chararray with a single empty string in it. + s = np.char.chararray((4,)) + assert_(s[[]].size == 0) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_deprecations.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_deprecations.py new file mode 100644 index 0000000000000000000000000000000000000000..f0ac55fc5c6f95447b80984f68defb01b9199940 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_deprecations.py @@ -0,0 +1,745 @@ +""" +Tests related to deprecation warnings. Also a convenient place +to document how deprecations should eventually be turned into errors. + +""" +import warnings +import pytest +import tempfile +import re + +import numpy as np +from numpy.testing import ( + assert_raises, assert_warns, assert_, assert_array_equal, SkipTest, + KnownFailureException, break_cycles, temppath + ) + +from numpy._core._multiarray_tests import fromstring_null_term_c_api +import numpy._core._struct_ufunc_tests as struct_ufunc + +try: + import pytz + _has_pytz = True +except ImportError: + _has_pytz = False + + +class _DeprecationTestCase: + # Just as warning: warnings uses re.match, so the start of this message + # must match. + message = '' + warning_cls = DeprecationWarning + + def setup_method(self): + self.warn_ctx = warnings.catch_warnings(record=True) + self.log = self.warn_ctx.__enter__() + + # Do *not* ignore other DeprecationWarnings. Ignoring warnings + # can give very confusing results because of + # https://bugs.python.org/issue4180 and it is probably simplest to + # try to keep the tests cleanly giving only the right warning type. + # (While checking them set to "error" those are ignored anyway) + # We still have them show up, because otherwise they would be raised + warnings.filterwarnings("always", category=self.warning_cls) + warnings.filterwarnings("always", message=self.message, + category=self.warning_cls) + + def teardown_method(self): + self.warn_ctx.__exit__() + + def assert_deprecated(self, function, num=1, ignore_others=False, + function_fails=False, + exceptions=np._NoValue, + args=(), kwargs={}): + """Test if DeprecationWarnings are given and raised. + + This first checks if the function when called gives `num` + DeprecationWarnings, after that it tries to raise these + DeprecationWarnings and compares them with `exceptions`. + The exceptions can be different for cases where this code path + is simply not anticipated and the exception is replaced. + + Parameters + ---------- + function : callable + The function to test + num : int + Number of DeprecationWarnings to expect. This should normally be 1. + ignore_others : bool + Whether warnings of the wrong type should be ignored (note that + the message is not checked) + function_fails : bool + If the function would normally fail, setting this will check for + warnings inside a try/except block. + exceptions : Exception or tuple of Exceptions + Exception to expect when turning the warnings into an error. + The default checks for DeprecationWarnings. If exceptions is + empty the function is expected to run successfully. + args : tuple + Arguments for `function` + kwargs : dict + Keyword arguments for `function` + """ + __tracebackhide__ = True # Hide traceback for py.test + + # reset the log + self.log[:] = [] + + if exceptions is np._NoValue: + exceptions = (self.warning_cls,) + + try: + function(*args, **kwargs) + except (Exception if function_fails else tuple()): + pass + + # just in case, clear the registry + num_found = 0 + for warning in self.log: + if warning.category is self.warning_cls: + num_found += 1 + elif not ignore_others: + raise AssertionError( + "expected %s but got: %s" % + (self.warning_cls.__name__, warning.category)) + if num is not None and num_found != num: + msg = "%i warnings found but %i expected." % (len(self.log), num) + lst = [str(w) for w in self.log] + raise AssertionError("\n".join([msg] + lst)) + + with warnings.catch_warnings(): + warnings.filterwarnings("error", message=self.message, + category=self.warning_cls) + try: + function(*args, **kwargs) + if exceptions != tuple(): + raise AssertionError( + "No error raised during function call") + except exceptions: + if exceptions == tuple(): + raise AssertionError( + "Error raised during function call") + + def assert_not_deprecated(self, function, args=(), kwargs={}): + """Test that warnings are not raised. + + This is just a shorthand for: + + self.assert_deprecated(function, num=0, ignore_others=True, + exceptions=tuple(), args=args, kwargs=kwargs) + """ + self.assert_deprecated(function, num=0, ignore_others=True, + exceptions=tuple(), args=args, kwargs=kwargs) + + +class _VisibleDeprecationTestCase(_DeprecationTestCase): + warning_cls = np.exceptions.VisibleDeprecationWarning + + +class TestDTypeAttributeIsDTypeDeprecation(_DeprecationTestCase): + # Deprecated 2021-01-05, NumPy 1.21 + message = r".*`.dtype` attribute" + + def test_deprecation_dtype_attribute_is_dtype(self): + class dt: + dtype = "f8" + + class vdt(np.void): + dtype = "f,f" + + self.assert_deprecated(lambda: np.dtype(dt)) + self.assert_deprecated(lambda: np.dtype(dt())) + self.assert_deprecated(lambda: np.dtype(vdt)) + self.assert_deprecated(lambda: np.dtype(vdt(1))) + + +class TestTestDeprecated: + def test_assert_deprecated(self): + test_case_instance = _DeprecationTestCase() + test_case_instance.setup_method() + assert_raises(AssertionError, + test_case_instance.assert_deprecated, + lambda: None) + + def foo(): + warnings.warn("foo", category=DeprecationWarning, stacklevel=2) + + test_case_instance.assert_deprecated(foo) + test_case_instance.teardown_method() + + +class TestNonNumericConjugate(_DeprecationTestCase): + """ + Deprecate no-op behavior of ndarray.conjugate on non-numeric dtypes, + which conflicts with the error behavior of np.conjugate. + """ + def test_conjugate(self): + for a in np.array(5), np.array(5j): + self.assert_not_deprecated(a.conjugate) + for a in (np.array('s'), np.array('2016', 'M'), + np.array((1, 2), [('a', int), ('b', int)])): + self.assert_deprecated(a.conjugate) + + +class TestDatetimeEvent(_DeprecationTestCase): + # 2017-08-11, 1.14.0 + def test_3_tuple(self): + for cls in (np.datetime64, np.timedelta64): + # two valid uses - (unit, num) and (unit, num, den, None) + self.assert_not_deprecated(cls, args=(1, ('ms', 2))) + self.assert_not_deprecated(cls, args=(1, ('ms', 2, 1, None))) + + # trying to use the event argument, removed in 1.7.0, is deprecated + # it used to be a uint8 + self.assert_deprecated(cls, args=(1, ('ms', 2, 'event'))) + self.assert_deprecated(cls, args=(1, ('ms', 2, 63))) + self.assert_deprecated(cls, args=(1, ('ms', 2, 1, 'event'))) + self.assert_deprecated(cls, args=(1, ('ms', 2, 1, 63))) + + +class TestBincount(_DeprecationTestCase): + # 2017-06-01, 1.14.0 + def test_bincount_minlength(self): + self.assert_deprecated(lambda: np.bincount([1, 2, 3], minlength=None)) + + # 2024-07-29, 2.1.0 + @pytest.mark.parametrize('badlist', [[0.5, 1.2, 1.5], + ['0', '1', '1']]) + def test_bincount_bad_list(self, badlist): + self.assert_deprecated(lambda: np.bincount(badlist)) + + +class TestGeneratorSum(_DeprecationTestCase): + # 2018-02-25, 1.15.0 + def test_generator_sum(self): + self.assert_deprecated(np.sum, args=((i for i in range(5)),)) + + +class TestFromstring(_DeprecationTestCase): + # 2017-10-19, 1.14 + def test_fromstring(self): + self.assert_deprecated(np.fromstring, args=('\x00'*80,)) + + +class TestFromStringAndFileInvalidData(_DeprecationTestCase): + # 2019-06-08, 1.17.0 + # Tests should be moved to real tests when deprecation is done. + message = "string or file could not be read to its end" + + @pytest.mark.parametrize("invalid_str", [",invalid_data", "invalid_sep"]) + def test_deprecate_unparsable_data_file(self, invalid_str): + x = np.array([1.51, 2, 3.51, 4], dtype=float) + + with tempfile.TemporaryFile(mode="w") as f: + x.tofile(f, sep=',', format='%.2f') + f.write(invalid_str) + + f.seek(0) + self.assert_deprecated(lambda: np.fromfile(f, sep=",")) + f.seek(0) + self.assert_deprecated(lambda: np.fromfile(f, sep=",", count=5)) + # Should not raise: + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + f.seek(0) + res = np.fromfile(f, sep=",", count=4) + assert_array_equal(res, x) + + @pytest.mark.parametrize("invalid_str", [",invalid_data", "invalid_sep"]) + def test_deprecate_unparsable_string(self, invalid_str): + x = np.array([1.51, 2, 3.51, 4], dtype=float) + x_str = "1.51,2,3.51,4{}".format(invalid_str) + + self.assert_deprecated(lambda: np.fromstring(x_str, sep=",")) + self.assert_deprecated(lambda: np.fromstring(x_str, sep=",", count=5)) + + # The C-level API can use not fixed size, but 0 terminated strings, + # so test that as well: + bytestr = x_str.encode("ascii") + self.assert_deprecated(lambda: fromstring_null_term_c_api(bytestr)) + + with assert_warns(DeprecationWarning): + # this is slightly strange, in that fromstring leaves data + # potentially uninitialized (would be good to error when all is + # read, but count is larger then actual data maybe). + res = np.fromstring(x_str, sep=",", count=5) + assert_array_equal(res[:-1], x) + + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + + # Should not raise: + res = np.fromstring(x_str, sep=",", count=4) + assert_array_equal(res, x) + + +class TestToString(_DeprecationTestCase): + # 2020-03-06 1.19.0 + message = re.escape("tostring() is deprecated. Use tobytes() instead.") + + def test_tostring(self): + arr = np.array(list(b"test\xFF"), dtype=np.uint8) + self.assert_deprecated(arr.tostring) + + def test_tostring_matches_tobytes(self): + arr = np.array(list(b"test\xFF"), dtype=np.uint8) + b = arr.tobytes() + with assert_warns(DeprecationWarning): + s = arr.tostring() + assert s == b + + +class TestDTypeCoercion(_DeprecationTestCase): + # 2020-02-06 1.19.0 + message = "Converting .* to a dtype .*is deprecated" + deprecated_types = [ + # The builtin scalar super types: + np.generic, np.flexible, np.number, + np.inexact, np.floating, np.complexfloating, + np.integer, np.unsignedinteger, np.signedinteger, + # character is a deprecated S1 special case: + np.character, + ] + + def test_dtype_coercion(self): + for scalar_type in self.deprecated_types: + self.assert_deprecated(np.dtype, args=(scalar_type,)) + + def test_array_construction(self): + for scalar_type in self.deprecated_types: + self.assert_deprecated(np.array, args=([], scalar_type,)) + + def test_not_deprecated(self): + # All specific types are not deprecated: + for group in np._core.sctypes.values(): + for scalar_type in group: + self.assert_not_deprecated(np.dtype, args=(scalar_type,)) + + for scalar_type in [type, dict, list, tuple]: + # Typical python types are coerced to object currently: + self.assert_not_deprecated(np.dtype, args=(scalar_type,)) + + +class BuiltInRoundComplexDType(_DeprecationTestCase): + # 2020-03-31 1.19.0 + deprecated_types = [np.csingle, np.cdouble, np.clongdouble] + not_deprecated_types = [ + np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64, + np.float16, np.float32, np.float64, + ] + + def test_deprecated(self): + for scalar_type in self.deprecated_types: + scalar = scalar_type(0) + self.assert_deprecated(round, args=(scalar,)) + self.assert_deprecated(round, args=(scalar, 0)) + self.assert_deprecated(round, args=(scalar,), kwargs={'ndigits': 0}) + + def test_not_deprecated(self): + for scalar_type in self.not_deprecated_types: + scalar = scalar_type(0) + self.assert_not_deprecated(round, args=(scalar,)) + self.assert_not_deprecated(round, args=(scalar, 0)) + self.assert_not_deprecated(round, args=(scalar,), kwargs={'ndigits': 0}) + + +class TestIncorrectAdvancedIndexWithEmptyResult(_DeprecationTestCase): + # 2020-05-27, NumPy 1.20.0 + message = "Out of bound index found. This was previously ignored.*" + + @pytest.mark.parametrize("index", [([3, 0],), ([0, 0], [3, 0])]) + def test_empty_subspace(self, index): + # Test for both a single and two/multiple advanced indices. These + # This will raise an IndexError in the future. + arr = np.ones((2, 2, 0)) + self.assert_deprecated(arr.__getitem__, args=(index,)) + self.assert_deprecated(arr.__setitem__, args=(index, 0.)) + + # for this array, the subspace is only empty after applying the slice + arr2 = np.ones((2, 2, 1)) + index2 = (slice(0, 0),) + index + self.assert_deprecated(arr2.__getitem__, args=(index2,)) + self.assert_deprecated(arr2.__setitem__, args=(index2, 0.)) + + def test_empty_index_broadcast_not_deprecated(self): + arr = np.ones((2, 2, 2)) + + index = ([[3], [2]], []) # broadcast to an empty result. + self.assert_not_deprecated(arr.__getitem__, args=(index,)) + self.assert_not_deprecated(arr.__setitem__, + args=(index, np.empty((2, 0, 2)))) + + +class TestNonExactMatchDeprecation(_DeprecationTestCase): + # 2020-04-22 + def test_non_exact_match(self): + arr = np.array([[3, 6, 6], [4, 5, 1]]) + # misspelt mode check + self.assert_deprecated(lambda: np.ravel_multi_index(arr, (7, 6), mode='Cilp')) + # using completely different word with first character as R + self.assert_deprecated(lambda: np.searchsorted(arr[0], 4, side='Random')) + + +class TestMatrixInOuter(_DeprecationTestCase): + # 2020-05-13 NumPy 1.20.0 + message = (r"add.outer\(\) was passed a numpy matrix as " + r"(first|second) argument.") + + def test_deprecated(self): + arr = np.array([1, 2, 3]) + m = np.array([1, 2, 3]).view(np.matrix) + self.assert_deprecated(np.add.outer, args=(m, m), num=2) + self.assert_deprecated(np.add.outer, args=(arr, m)) + self.assert_deprecated(np.add.outer, args=(m, arr)) + self.assert_not_deprecated(np.add.outer, args=(arr, arr)) + + +class FlatteningConcatenateUnsafeCast(_DeprecationTestCase): + # NumPy 1.20, 2020-09-03 + message = "concatenate with `axis=None` will use same-kind casting" + + def test_deprecated(self): + self.assert_deprecated(np.concatenate, + args=(([0.], [1.]),), + kwargs=dict(axis=None, out=np.empty(2, dtype=np.int64))) + + def test_not_deprecated(self): + self.assert_not_deprecated(np.concatenate, + args=(([0.], [1.]),), + kwargs={'axis': None, 'out': np.empty(2, dtype=np.int64), + 'casting': "unsafe"}) + + with assert_raises(TypeError): + # Tests should notice if the deprecation warning is given first... + np.concatenate(([0.], [1.]), out=np.empty(2, dtype=np.int64), + casting="same_kind") + + +class TestDeprecatedUnpickleObjectScalar(_DeprecationTestCase): + # Deprecated 2020-11-24, NumPy 1.20 + """ + Technically, it should be impossible to create numpy object scalars, + but there was an unpickle path that would in theory allow it. That + path is invalid and must lead to the warning. + """ + message = "Unpickling a scalar with object dtype is deprecated." + + def test_deprecated(self): + ctor = np._core.multiarray.scalar + self.assert_deprecated(lambda: ctor(np.dtype("O"), 1)) + + +class TestSingleElementSignature(_DeprecationTestCase): + # Deprecated 2021-04-01, NumPy 1.21 + message = r"The use of a length 1" + + def test_deprecated(self): + self.assert_deprecated(lambda: np.add(1, 2, signature="d")) + self.assert_deprecated(lambda: np.add(1, 2, sig=(np.dtype("l"),))) + + +class TestCtypesGetter(_DeprecationTestCase): + # Deprecated 2021-05-18, Numpy 1.21.0 + warning_cls = DeprecationWarning + ctypes = np.array([1]).ctypes + + @pytest.mark.parametrize( + "name", ["get_data", "get_shape", "get_strides", "get_as_parameter"] + ) + def test_deprecated(self, name: str) -> None: + func = getattr(self.ctypes, name) + self.assert_deprecated(lambda: func()) + + @pytest.mark.parametrize( + "name", ["data", "shape", "strides", "_as_parameter_"] + ) + def test_not_deprecated(self, name: str) -> None: + self.assert_not_deprecated(lambda: getattr(self.ctypes, name)) + + +PARTITION_DICT = { + "partition method": np.arange(10).partition, + "argpartition method": np.arange(10).argpartition, + "partition function": lambda kth: np.partition(np.arange(10), kth), + "argpartition function": lambda kth: np.argpartition(np.arange(10), kth), +} + + +@pytest.mark.parametrize("func", PARTITION_DICT.values(), ids=PARTITION_DICT) +class TestPartitionBoolIndex(_DeprecationTestCase): + # Deprecated 2021-09-29, NumPy 1.22 + warning_cls = DeprecationWarning + message = "Passing booleans as partition index is deprecated" + + def test_deprecated(self, func): + self.assert_deprecated(lambda: func(True)) + self.assert_deprecated(lambda: func([False, True])) + + def test_not_deprecated(self, func): + self.assert_not_deprecated(lambda: func(1)) + self.assert_not_deprecated(lambda: func([0, 1])) + + +class TestMachAr(_DeprecationTestCase): + # Deprecated 2022-11-22, NumPy 1.25 + warning_cls = DeprecationWarning + + def test_deprecated_module(self): + self.assert_deprecated(lambda: np._core.MachAr) + + +class TestQuantileInterpolationDeprecation(_DeprecationTestCase): + # Deprecated 2021-11-08, NumPy 1.22 + @pytest.mark.parametrize("func", + [np.percentile, np.quantile, np.nanpercentile, np.nanquantile]) + def test_deprecated(self, func): + self.assert_deprecated( + lambda: func([0., 1.], 0., interpolation="linear")) + self.assert_deprecated( + lambda: func([0., 1.], 0., interpolation="nearest")) + + @pytest.mark.parametrize("func", + [np.percentile, np.quantile, np.nanpercentile, np.nanquantile]) + def test_both_passed(self, func): + with warnings.catch_warnings(): + # catch the DeprecationWarning so that it does not raise: + warnings.simplefilter("always", DeprecationWarning) + with pytest.raises(TypeError): + func([0., 1.], 0., interpolation="nearest", method="nearest") + + +class TestArrayFinalizeNone(_DeprecationTestCase): + message = "Setting __array_finalize__ = None" + + def test_use_none_is_deprecated(self): + # Deprecated way that ndarray itself showed nothing needs finalizing. + class NoFinalize(np.ndarray): + __array_finalize__ = None + + self.assert_deprecated(lambda: np.array(1).view(NoFinalize)) + + +class TestLoadtxtParseIntsViaFloat(_DeprecationTestCase): + # Deprecated 2022-07-03, NumPy 1.23 + # This test can be removed without replacement after the deprecation. + # The tests: + # * numpy/lib/tests/test_loadtxt.py::test_integer_signs + # * lib/tests/test_loadtxt.py::test_implicit_cast_float_to_int_fails + # Have a warning filter that needs to be removed. + message = r"loadtxt\(\): Parsing an integer via a float is deprecated.*" + + @pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) + def test_deprecated_warning(self, dtype): + with pytest.warns(DeprecationWarning, match=self.message): + np.loadtxt(["10.5"], dtype=dtype) + + @pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) + def test_deprecated_raised(self, dtype): + # The DeprecationWarning is chained when raised, so test manually: + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + try: + np.loadtxt(["10.5"], dtype=dtype) + except ValueError as e: + assert isinstance(e.__cause__, DeprecationWarning) + + +class TestScalarConversion(_DeprecationTestCase): + # 2023-01-02, 1.25.0 + def test_float_conversion(self): + self.assert_deprecated(float, args=(np.array([3.14]),)) + + def test_behaviour(self): + b = np.array([[3.14]]) + c = np.zeros(5) + with pytest.warns(DeprecationWarning): + c[0] = b + + +class TestPyIntConversion(_DeprecationTestCase): + message = r".*stop allowing conversion of out-of-bound.*" + + @pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) + def test_deprecated_scalar(self, dtype): + dtype = np.dtype(dtype) + info = np.iinfo(dtype) + + # Cover the most common creation paths (all end up in the + # same place): + def scalar(value, dtype): + dtype.type(value) + + def assign(value, dtype): + arr = np.array([0, 0, 0], dtype=dtype) + arr[2] = value + + def create(value, dtype): + np.array([value], dtype=dtype) + + for creation_func in [scalar, assign, create]: + try: + self.assert_deprecated( + lambda: creation_func(info.min - 1, dtype)) + except OverflowError: + pass # OverflowErrors always happened also before and are OK. + + try: + self.assert_deprecated( + lambda: creation_func(info.max + 1, dtype)) + except OverflowError: + pass # OverflowErrors always happened also before and are OK. + + +@pytest.mark.parametrize("name", ["str", "bytes", "object"]) +def test_future_scalar_attributes(name): + # FutureWarning added 2022-11-17, NumPy 1.24, + assert name not in dir(np) # we may want to not add them + with pytest.warns(FutureWarning, + match=f"In the future .*{name}"): + assert not hasattr(np, name) + + # Unfortunately, they are currently still valid via `np.dtype()` + np.dtype(name) + name in np._core.sctypeDict + + +# Ignore the above future attribute warning for this test. +@pytest.mark.filterwarnings("ignore:In the future:FutureWarning") +class TestRemovedGlobals: + # Removed 2023-01-12, NumPy 1.24.0 + # Not a deprecation, but the large error was added to aid those who missed + # the previous deprecation, and should be removed similarly to one + # (or faster). + @pytest.mark.parametrize("name", + ["object", "float", "complex", "str", "int"]) + def test_attributeerror_includes_info(self, name): + msg = f".*\n`np.{name}` was a deprecated alias for the builtin" + with pytest.raises(AttributeError, match=msg): + getattr(np, name) + + +class TestDeprecatedFinfo(_DeprecationTestCase): + # Deprecated in NumPy 1.25, 2023-01-16 + def test_deprecated_none(self): + self.assert_deprecated(np.finfo, args=(None,)) + + +class TestMathAlias(_DeprecationTestCase): + def test_deprecated_np_lib_math(self): + self.assert_deprecated(lambda: np.lib.math) + + +class TestLibImports(_DeprecationTestCase): + # Deprecated in Numpy 1.26.0, 2023-09 + def test_lib_functions_deprecation_call(self): + from numpy.lib._utils_impl import safe_eval + from numpy.lib._npyio_impl import recfromcsv, recfromtxt + from numpy.lib._function_base_impl import disp + from numpy.lib._shape_base_impl import get_array_wrap + from numpy._core.numerictypes import maximum_sctype + from numpy.lib.tests.test_io import TextIO + from numpy import in1d, row_stack, trapz + + self.assert_deprecated(lambda: safe_eval("None")) + + data_gen = lambda: TextIO('A,B\n0,1\n2,3') + kwargs = dict(delimiter=",", missing_values="N/A", names=True) + self.assert_deprecated(lambda: recfromcsv(data_gen())) + self.assert_deprecated(lambda: recfromtxt(data_gen(), **kwargs)) + + self.assert_deprecated(lambda: disp("test")) + self.assert_deprecated(lambda: get_array_wrap()) + self.assert_deprecated(lambda: maximum_sctype(int)) + + self.assert_deprecated(lambda: in1d([1], [1])) + self.assert_deprecated(lambda: row_stack([[]])) + self.assert_deprecated(lambda: trapz([1], [1])) + self.assert_deprecated(lambda: np.chararray) + + +class TestDeprecatedDTypeAliases(_DeprecationTestCase): + + def _check_for_warning(self, func): + with warnings.catch_warnings(record=True) as caught_warnings: + func() + assert len(caught_warnings) == 1 + w = caught_warnings[0] + assert w.category is DeprecationWarning + assert "alias 'a' was deprecated in NumPy 2.0" in str(w.message) + + def test_a_dtype_alias(self): + for dtype in ["a", "a10"]: + f = lambda: np.dtype(dtype) + self._check_for_warning(f) + self.assert_deprecated(f) + f = lambda: np.array(["hello", "world"]).astype("a10") + self._check_for_warning(f) + self.assert_deprecated(f) + + +class TestDeprecatedArrayWrap(_DeprecationTestCase): + message = "__array_wrap__.*" + + def test_deprecated(self): + class Test1: + def __array__(self, dtype=None, copy=None): + return np.arange(4) + + def __array_wrap__(self, arr, context=None): + self.called = True + return 'pass context' + + class Test2(Test1): + def __array_wrap__(self, arr): + self.called = True + return 'pass' + + test1 = Test1() + test2 = Test2() + self.assert_deprecated(lambda: np.negative(test1)) + assert test1.called + self.assert_deprecated(lambda: np.negative(test2)) + assert test2.called + + + +class TestDeprecatedDTypeParenthesizedRepeatCount(_DeprecationTestCase): + message = "Passing in a parenthesized single number" + + @pytest.mark.parametrize("string", ["(2)i,", "(3)3S,", "f,(2)f"]) + def test_parenthesized_repeat_count(self, string): + self.assert_deprecated(np.dtype, args=(string,)) + + +class TestDeprecatedSaveFixImports(_DeprecationTestCase): + # Deprecated in Numpy 2.1, 2024-05 + message = "The 'fix_imports' flag is deprecated and has no effect." + + def test_deprecated(self): + with temppath(suffix='.npy') as path: + sample_args = (path, np.array(np.zeros((1024, 10)))) + self.assert_not_deprecated(np.save, args=sample_args) + self.assert_deprecated(np.save, args=sample_args, + kwargs={'fix_imports': True}) + self.assert_deprecated(np.save, args=sample_args, + kwargs={'fix_imports': False}) + for allow_pickle in [True, False]: + self.assert_not_deprecated(np.save, args=sample_args, + kwargs={'allow_pickle': allow_pickle}) + self.assert_deprecated(np.save, args=sample_args, + kwargs={'allow_pickle': allow_pickle, + 'fix_imports': True}) + self.assert_deprecated(np.save, args=sample_args, + kwargs={'allow_pickle': allow_pickle, + 'fix_imports': False}) + + +class TestAddNewdocUFunc(_DeprecationTestCase): + # Deprecated in Numpy 2.2, 2024-11 + def test_deprecated(self): + self.assert_deprecated( + lambda: np._core.umath._add_newdoc_ufunc( + struct_ufunc.add_triplet, "new docs" + ) + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_dlpack.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_dlpack.py new file mode 100644 index 0000000000000000000000000000000000000000..41dd7242958062a178507e41cd38859c182396db --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_dlpack.py @@ -0,0 +1,189 @@ +import sys +import pytest + +import numpy as np +from numpy.testing import assert_array_equal, IS_PYPY + + +def new_and_old_dlpack(): + yield np.arange(5) + + class OldDLPack(np.ndarray): + # Support only the "old" version + def __dlpack__(self, stream=None): + return super().__dlpack__(stream=None) + + yield np.arange(5).view(OldDLPack) + + +class TestDLPack: + @pytest.mark.skipif(IS_PYPY, reason="PyPy can't get refcounts.") + @pytest.mark.parametrize("max_version", [(0, 0), None, (1, 0), (100, 3)]) + def test_dunder_dlpack_refcount(self, max_version): + x = np.arange(5) + y = x.__dlpack__(max_version=max_version) + assert sys.getrefcount(x) == 3 + del y + assert sys.getrefcount(x) == 2 + + def test_dunder_dlpack_stream(self): + x = np.arange(5) + x.__dlpack__(stream=None) + + with pytest.raises(RuntimeError): + x.__dlpack__(stream=1) + + def test_dunder_dlpack_copy(self): + # Checks the argument parsing of __dlpack__ explicitly. + # Honoring the flag is tested in the from_dlpack round-tripping test. + x = np.arange(5) + x.__dlpack__(copy=True) + x.__dlpack__(copy=None) + x.__dlpack__(copy=False) + + with pytest.raises(ValueError): + # NOTE: The copy converter should be stricter, but not just here. + x.__dlpack__(copy=np.array([1, 2, 3])) + + def test_strides_not_multiple_of_itemsize(self): + dt = np.dtype([('int', np.int32), ('char', np.int8)]) + y = np.zeros((5,), dtype=dt) + z = y['int'] + + with pytest.raises(BufferError): + np.from_dlpack(z) + + @pytest.mark.skipif(IS_PYPY, reason="PyPy can't get refcounts.") + @pytest.mark.parametrize("arr", new_and_old_dlpack()) + def test_from_dlpack_refcount(self, arr): + arr = arr.copy() + y = np.from_dlpack(arr) + assert sys.getrefcount(arr) == 3 + del y + assert sys.getrefcount(arr) == 2 + + @pytest.mark.parametrize("dtype", [ + np.bool, + np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64, + np.float16, np.float32, np.float64, + np.complex64, np.complex128 + ]) + @pytest.mark.parametrize("arr", new_and_old_dlpack()) + def test_dtype_passthrough(self, arr, dtype): + x = arr.astype(dtype) + y = np.from_dlpack(x) + + assert y.dtype == x.dtype + assert_array_equal(x, y) + + def test_invalid_dtype(self): + x = np.asarray(np.datetime64('2021-05-27')) + + with pytest.raises(BufferError): + np.from_dlpack(x) + + def test_invalid_byte_swapping(self): + dt = np.dtype('=i8').newbyteorder() + x = np.arange(5, dtype=dt) + + with pytest.raises(BufferError): + np.from_dlpack(x) + + def test_non_contiguous(self): + x = np.arange(25).reshape((5, 5)) + + y1 = x[0] + assert_array_equal(y1, np.from_dlpack(y1)) + + y2 = x[:, 0] + assert_array_equal(y2, np.from_dlpack(y2)) + + y3 = x[1, :] + assert_array_equal(y3, np.from_dlpack(y3)) + + y4 = x[1] + assert_array_equal(y4, np.from_dlpack(y4)) + + y5 = np.diagonal(x).copy() + assert_array_equal(y5, np.from_dlpack(y5)) + + @pytest.mark.parametrize("ndim", range(33)) + def test_higher_dims(self, ndim): + shape = (1,) * ndim + x = np.zeros(shape, dtype=np.float64) + + assert shape == np.from_dlpack(x).shape + + def test_dlpack_device(self): + x = np.arange(5) + assert x.__dlpack_device__() == (1, 0) + y = np.from_dlpack(x) + assert y.__dlpack_device__() == (1, 0) + z = y[::2] + assert z.__dlpack_device__() == (1, 0) + + def dlpack_deleter_exception(self, max_version): + x = np.arange(5) + _ = x.__dlpack__(max_version=max_version) + raise RuntimeError + + @pytest.mark.parametrize("max_version", [None, (1, 0)]) + def test_dlpack_destructor_exception(self, max_version): + with pytest.raises(RuntimeError): + self.dlpack_deleter_exception(max_version=max_version) + + def test_readonly(self): + x = np.arange(5) + x.flags.writeable = False + # Raises without max_version + with pytest.raises(BufferError): + x.__dlpack__() + + # But works fine if we try with version + y = np.from_dlpack(x) + assert not y.flags.writeable + + def test_writeable(self): + x_new, x_old = new_and_old_dlpack() + + # new dlpacks respect writeability + y = np.from_dlpack(x_new) + assert y.flags.writeable + + # old dlpacks are not writeable for backwards compatibility + y = np.from_dlpack(x_old) + assert not y.flags.writeable + + def test_ndim0(self): + x = np.array(1.0) + y = np.from_dlpack(x) + assert_array_equal(x, y) + + def test_size1dims_arrays(self): + x = np.ndarray(dtype='f8', shape=(10, 5, 1), strides=(8, 80, 4), + buffer=np.ones(1000, dtype=np.uint8), order='F') + y = np.from_dlpack(x) + assert_array_equal(x, y) + + def test_copy(self): + x = np.arange(5) + + y = np.from_dlpack(x) + assert np.may_share_memory(x, y) + y = np.from_dlpack(x, copy=False) + assert np.may_share_memory(x, y) + y = np.from_dlpack(x, copy=True) + assert not np.may_share_memory(x, y) + + def test_device(self): + x = np.arange(5) + # requesting (1, 0), i.e. CPU device works in both calls: + x.__dlpack__(dl_device=(1, 0)) + np.from_dlpack(x, device="cpu") + np.from_dlpack(x, device=None) + + with pytest.raises(ValueError): + x.__dlpack__(dl_device=(10, 0)) + with pytest.raises(ValueError): + np.from_dlpack(x, device="gpu") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_dtype.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_dtype.py new file mode 100644 index 0000000000000000000000000000000000000000..deeca5171c2db67d5e2da57db1462dcdc801e2a2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_dtype.py @@ -0,0 +1,1963 @@ +import sys +import operator +import pytest +import ctypes +import gc +import types +from typing import Any +import pickle + +import numpy as np +import numpy.dtypes +from numpy._core._rational_tests import rational +from numpy._core._multiarray_tests import create_custom_field_dtype +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_raises, HAS_REFCOUNT, + IS_PYSTON) +from itertools import permutations +import random + +import hypothesis +from hypothesis.extra import numpy as hynp + + + +def assert_dtype_equal(a, b): + assert_equal(a, b) + assert_equal(hash(a), hash(b), + "two equivalent types do not hash to the same value !") + +def assert_dtype_not_equal(a, b): + assert_(a != b) + assert_(hash(a) != hash(b), + "two different types hash to the same value !") + +class TestBuiltin: + @pytest.mark.parametrize('t', [int, float, complex, np.int32, str, object]) + def test_run(self, t): + """Only test hash runs at all.""" + dt = np.dtype(t) + hash(dt) + + @pytest.mark.parametrize('t', [int, float]) + def test_dtype(self, t): + # Make sure equivalent byte order char hash the same (e.g. < and = on + # little endian) + dt = np.dtype(t) + dt2 = dt.newbyteorder("<") + dt3 = dt.newbyteorder(">") + if dt == dt2: + assert_(dt.byteorder != dt2.byteorder, "bogus test") + assert_dtype_equal(dt, dt2) + else: + assert_(dt.byteorder != dt3.byteorder, "bogus test") + assert_dtype_equal(dt, dt3) + + def test_equivalent_dtype_hashing(self): + # Make sure equivalent dtypes with different type num hash equal + uintp = np.dtype(np.uintp) + if uintp.itemsize == 4: + left = uintp + right = np.dtype(np.uint32) + else: + left = uintp + right = np.dtype(np.ulonglong) + assert_(left == right) + assert_(hash(left) == hash(right)) + + def test_invalid_types(self): + # Make sure invalid type strings raise an error + + assert_raises(TypeError, np.dtype, 'O3') + assert_raises(TypeError, np.dtype, 'O5') + assert_raises(TypeError, np.dtype, 'O7') + assert_raises(TypeError, np.dtype, 'b3') + assert_raises(TypeError, np.dtype, 'h4') + assert_raises(TypeError, np.dtype, 'I5') + assert_raises(TypeError, np.dtype, 'e3') + assert_raises(TypeError, np.dtype, 'f5') + + if np.dtype('g').itemsize == 8 or np.dtype('g').itemsize == 16: + assert_raises(TypeError, np.dtype, 'g12') + elif np.dtype('g').itemsize == 12: + assert_raises(TypeError, np.dtype, 'g16') + + if np.dtype('l').itemsize == 8: + assert_raises(TypeError, np.dtype, 'l4') + assert_raises(TypeError, np.dtype, 'L4') + else: + assert_raises(TypeError, np.dtype, 'l8') + assert_raises(TypeError, np.dtype, 'L8') + + if np.dtype('q').itemsize == 8: + assert_raises(TypeError, np.dtype, 'q4') + assert_raises(TypeError, np.dtype, 'Q4') + else: + assert_raises(TypeError, np.dtype, 'q8') + assert_raises(TypeError, np.dtype, 'Q8') + + # Make sure negative-sized dtype raises an error + assert_raises(TypeError, np.dtype, 'S-1') + assert_raises(TypeError, np.dtype, 'U-1') + assert_raises(TypeError, np.dtype, 'V-1') + + def test_richcompare_invalid_dtype_equality(self): + # Make sure objects that cannot be converted to valid + # dtypes results in False/True when compared to valid dtypes. + # Here 7 cannot be converted to dtype. No exceptions should be raised + + assert not np.dtype(np.int32) == 7, "dtype richcompare failed for ==" + assert np.dtype(np.int32) != 7, "dtype richcompare failed for !=" + + @pytest.mark.parametrize( + 'operation', + [operator.le, operator.lt, operator.ge, operator.gt]) + def test_richcompare_invalid_dtype_comparison(self, operation): + # Make sure TypeError is raised for comparison operators + # for invalid dtypes. Here 7 is an invalid dtype. + + with pytest.raises(TypeError): + operation(np.dtype(np.int32), 7) + + @pytest.mark.parametrize("dtype", + ['Bool', 'Bytes0', 'Complex32', 'Complex64', + 'Datetime64', 'Float16', 'Float32', 'Float64', + 'Int8', 'Int16', 'Int32', 'Int64', + 'Object0', 'Str0', 'Timedelta64', + 'UInt8', 'UInt16', 'Uint32', 'UInt32', + 'Uint64', 'UInt64', 'Void0', + "Float128", "Complex128"]) + def test_numeric_style_types_are_invalid(self, dtype): + with assert_raises(TypeError): + np.dtype(dtype) + + def test_expired_dtypes_with_bad_bytesize(self): + match: str = r".*removed in NumPy 2.0.*" + with pytest.raises(TypeError, match=match): + np.dtype("int0") + with pytest.raises(TypeError, match=match): + np.dtype("uint0") + with pytest.raises(TypeError, match=match): + np.dtype("bool8") + with pytest.raises(TypeError, match=match): + np.dtype("bytes0") + with pytest.raises(TypeError, match=match): + np.dtype("str0") + with pytest.raises(TypeError, match=match): + np.dtype("object0") + with pytest.raises(TypeError, match=match): + np.dtype("void0") + + @pytest.mark.parametrize( + 'value', + ['m8', 'M8', 'datetime64', 'timedelta64', + 'i4, (2,3)f8, f4', 'S3, 3u8, (3,4)S10', + '>f', '= (3, 12), + reason="Python 3.12 has immortal refcounts, this test will no longer " + "work. See gh-23986" +) +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +class TestStructuredObjectRefcounting: + """These tests cover various uses of complicated structured types which + include objects and thus require reference counting. + """ + @pytest.mark.parametrize(['dt', 'pat', 'count', 'singleton'], + iter_struct_object_dtypes()) + @pytest.mark.parametrize(["creation_func", "creation_obj"], [ + pytest.param(np.empty, None, + # None is probably used for too many things + marks=pytest.mark.skip("unreliable due to python's behaviour")), + (np.ones, 1), + (np.zeros, 0)]) + def test_structured_object_create_delete(self, dt, pat, count, singleton, + creation_func, creation_obj): + """Structured object reference counting in creation and deletion""" + # The test assumes that 0, 1, and None are singletons. + gc.collect() + before = sys.getrefcount(creation_obj) + arr = creation_func(3, dt) + + now = sys.getrefcount(creation_obj) + assert now - before == count * 3 + del arr + now = sys.getrefcount(creation_obj) + assert now == before + + @pytest.mark.parametrize(['dt', 'pat', 'count', 'singleton'], + iter_struct_object_dtypes()) + def test_structured_object_item_setting(self, dt, pat, count, singleton): + """Structured object reference counting for simple item setting""" + one = 1 + + gc.collect() + before = sys.getrefcount(singleton) + arr = np.array([pat] * 3, dt) + assert sys.getrefcount(singleton) - before == count * 3 + # Fill with `1` and check that it was replaced correctly: + before2 = sys.getrefcount(one) + arr[...] = one + after2 = sys.getrefcount(one) + assert after2 - before2 == count * 3 + del arr + gc.collect() + assert sys.getrefcount(one) == before2 + assert sys.getrefcount(singleton) == before + + @pytest.mark.parametrize(['dt', 'pat', 'count', 'singleton'], + iter_struct_object_dtypes()) + @pytest.mark.parametrize( + ['shape', 'index', 'items_changed'], + [((3,), ([0, 2],), 2), + ((3, 2), ([0, 2], slice(None)), 4), + ((3, 2), ([0, 2], [1]), 2), + ((3,), ([True, False, True]), 2)]) + def test_structured_object_indexing(self, shape, index, items_changed, + dt, pat, count, singleton): + """Structured object reference counting for advanced indexing.""" + # Use two small negative values (should be singletons, but less likely + # to run into race-conditions). This failed in some threaded envs + # When using 0 and 1. If it fails again, should remove all explicit + # checks, and rely on `pytest-leaks` reference count checker only. + val0 = -4 + val1 = -5 + + arr = np.full(shape, val0, dt) + + gc.collect() + before_val0 = sys.getrefcount(val0) + before_val1 = sys.getrefcount(val1) + # Test item getting: + part = arr[index] + after_val0 = sys.getrefcount(val0) + assert after_val0 - before_val0 == count * items_changed + del part + # Test item setting: + arr[index] = val1 + gc.collect() + after_val0 = sys.getrefcount(val0) + after_val1 = sys.getrefcount(val1) + assert before_val0 - after_val0 == count * items_changed + assert after_val1 - before_val1 == count * items_changed + + @pytest.mark.parametrize(['dt', 'pat', 'count', 'singleton'], + iter_struct_object_dtypes()) + def test_structured_object_take_and_repeat(self, dt, pat, count, singleton): + """Structured object reference counting for specialized functions. + The older functions such as take and repeat use different code paths + then item setting (when writing this). + """ + indices = [0, 1] + + arr = np.array([pat] * 3, dt) + gc.collect() + before = sys.getrefcount(singleton) + res = arr.take(indices) + after = sys.getrefcount(singleton) + assert after - before == count * 2 + new = res.repeat(10) + gc.collect() + after_repeat = sys.getrefcount(singleton) + assert after_repeat - after == count * 2 * 10 + + +class TestStructuredDtypeSparseFields: + """Tests subarray fields which contain sparse dtypes so that + not all memory is used by the dtype work. Such dtype's should + leave the underlying memory unchanged. + """ + dtype = np.dtype([('a', {'names':['aa', 'ab'], 'formats':['f', 'f'], + 'offsets':[0, 4]}, (2, 3))]) + sparse_dtype = np.dtype([('a', {'names':['ab'], 'formats':['f'], + 'offsets':[4]}, (2, 3))]) + + def test_sparse_field_assignment(self): + arr = np.zeros(3, self.dtype) + sparse_arr = arr.view(self.sparse_dtype) + + sparse_arr[...] = np.finfo(np.float32).max + # dtype is reduced when accessing the field, so shape is (3, 2, 3): + assert_array_equal(arr["a"]["aa"], np.zeros((3, 2, 3))) + + def test_sparse_field_assignment_fancy(self): + # Fancy assignment goes to the copyswap function for complex types: + arr = np.zeros(3, self.dtype) + sparse_arr = arr.view(self.sparse_dtype) + + sparse_arr[[0, 1, 2]] = np.finfo(np.float32).max + # dtype is reduced when accessing the field, so shape is (3, 2, 3): + assert_array_equal(arr["a"]["aa"], np.zeros((3, 2, 3))) + + +class TestMonsterType: + """Test deeply nested subtypes.""" + + def test1(self): + simple1 = np.dtype({'names': ['r', 'b'], 'formats': ['u1', 'u1'], + 'titles': ['Red pixel', 'Blue pixel']}) + a = np.dtype([('yo', int), ('ye', simple1), + ('yi', np.dtype((int, (3, 2))))]) + b = np.dtype([('yo', int), ('ye', simple1), + ('yi', np.dtype((int, (3, 2))))]) + assert_dtype_equal(a, b) + + c = np.dtype([('yo', int), ('ye', simple1), + ('yi', np.dtype((a, (3, 2))))]) + d = np.dtype([('yo', int), ('ye', simple1), + ('yi', np.dtype((a, (3, 2))))]) + assert_dtype_equal(c, d) + + @pytest.mark.skipif(IS_PYSTON, reason="Pyston disables recursion checking") + def test_list_recursion(self): + l = list() + l.append(('f', l)) + with pytest.raises(RecursionError): + np.dtype(l) + + @pytest.mark.skipif(IS_PYSTON, reason="Pyston disables recursion checking") + def test_tuple_recursion(self): + d = np.int32 + for i in range(100000): + d = (d, (1,)) + with pytest.raises(RecursionError): + np.dtype(d) + + @pytest.mark.skipif(IS_PYSTON, reason="Pyston disables recursion checking") + def test_dict_recursion(self): + d = dict(names=['self'], formats=[None], offsets=[0]) + d['formats'][0] = d + with pytest.raises(RecursionError): + np.dtype(d) + + +class TestMetadata: + def test_no_metadata(self): + d = np.dtype(int) + assert_(d.metadata is None) + + def test_metadata_takes_dict(self): + d = np.dtype(int, metadata={'datum': 1}) + assert_(d.metadata == {'datum': 1}) + + def test_metadata_rejects_nondict(self): + assert_raises(TypeError, np.dtype, int, metadata='datum') + assert_raises(TypeError, np.dtype, int, metadata=1) + assert_raises(TypeError, np.dtype, int, metadata=None) + + def test_nested_metadata(self): + d = np.dtype([('a', np.dtype(int, metadata={'datum': 1}))]) + assert_(d['a'].metadata == {'datum': 1}) + + def test_base_metadata_copied(self): + d = np.dtype((np.void, np.dtype('i4,i4', metadata={'datum': 1}))) + assert_(d.metadata == {'datum': 1}) + +class TestString: + def test_complex_dtype_str(self): + dt = np.dtype([('top', [('tiles', ('>f4', (64, 64)), (1,)), + ('rtile', '>f4', (64, 36))], (3,)), + ('bottom', [('bleft', ('>f4', (8, 64)), (1,)), + ('bright', '>f4', (8, 36))])]) + assert_equal(str(dt), + "[('top', [('tiles', ('>f4', (64, 64)), (1,)), " + "('rtile', '>f4', (64, 36))], (3,)), " + "('bottom', [('bleft', ('>f4', (8, 64)), (1,)), " + "('bright', '>f4', (8, 36))])]") + + # If the sticky aligned flag is set to True, it makes the + # str() function use a dict representation with an 'aligned' flag + dt = np.dtype([('top', [('tiles', ('>f4', (64, 64)), (1,)), + ('rtile', '>f4', (64, 36))], + (3,)), + ('bottom', [('bleft', ('>f4', (8, 64)), (1,)), + ('bright', '>f4', (8, 36))])], + align=True) + assert_equal(str(dt), + "{'names': ['top', 'bottom']," + " 'formats': [([('tiles', ('>f4', (64, 64)), (1,)), " + "('rtile', '>f4', (64, 36))], (3,)), " + "[('bleft', ('>f4', (8, 64)), (1,)), " + "('bright', '>f4', (8, 36))]]," + " 'offsets': [0, 76800]," + " 'itemsize': 80000," + " 'aligned': True}") + with np.printoptions(legacy='1.21'): + assert_equal(str(dt), + "{'names':['top','bottom'], " + "'formats':[([('tiles', ('>f4', (64, 64)), (1,)), " + "('rtile', '>f4', (64, 36))], (3,))," + "[('bleft', ('>f4', (8, 64)), (1,)), " + "('bright', '>f4', (8, 36))]], " + "'offsets':[0,76800], " + "'itemsize':80000, " + "'aligned':True}") + assert_equal(np.dtype(eval(str(dt))), dt) + + dt = np.dtype({'names': ['r', 'g', 'b'], 'formats': ['u1', 'u1', 'u1'], + 'offsets': [0, 1, 2], + 'titles': ['Red pixel', 'Green pixel', 'Blue pixel']}) + assert_equal(str(dt), + "[(('Red pixel', 'r'), 'u1'), " + "(('Green pixel', 'g'), 'u1'), " + "(('Blue pixel', 'b'), 'u1')]") + + dt = np.dtype({'names': ['rgba', 'r', 'g', 'b'], + 'formats': ['f4', (64, 64)), (1,)), + ('rtile', '>f4', (64, 36))], (3,)), + ('bottom', [('bleft', ('>f4', (8, 64)), (1,)), + ('bright', '>f4', (8, 36))])]) + assert_equal(repr(dt), + "dtype([('top', [('tiles', ('>f4', (64, 64)), (1,)), " + "('rtile', '>f4', (64, 36))], (3,)), " + "('bottom', [('bleft', ('>f4', (8, 64)), (1,)), " + "('bright', '>f4', (8, 36))])])") + + dt = np.dtype({'names': ['r', 'g', 'b'], 'formats': ['u1', 'u1', 'u1'], + 'offsets': [0, 1, 2], + 'titles': ['Red pixel', 'Green pixel', 'Blue pixel']}, + align=True) + assert_equal(repr(dt), + "dtype([(('Red pixel', 'r'), 'u1'), " + "(('Green pixel', 'g'), 'u1'), " + "(('Blue pixel', 'b'), 'u1')], align=True)") + + def test_repr_structured_not_packed(self): + dt = np.dtype({'names': ['rgba', 'r', 'g', 'b'], + 'formats': ['i4") + assert np.result_type(dt).isnative + assert np.result_type(dt).num == dt.num + + # dtype with empty space: + struct_dt = np.dtype(">i4,i1,f4', (2, 1)), ('b', 'u4')]) + self.check(BigEndStruct, expected) + + def test_little_endian_structure_packed(self): + class LittleEndStruct(ctypes.LittleEndianStructure): + _fields_ = [ + ('one', ctypes.c_uint8), + ('two', ctypes.c_uint32) + ] + _pack_ = 1 + expected = np.dtype([('one', 'u1'), ('two', 'B'), + ('b', '>H') + ], align=True) + self.check(PaddedStruct, expected) + + def test_simple_endian_types(self): + self.check(ctypes.c_uint16.__ctype_le__, np.dtype('u2')) + self.check(ctypes.c_uint8.__ctype_le__, np.dtype('u1')) + self.check(ctypes.c_uint8.__ctype_be__, np.dtype('u1')) + + all_types = set(np.typecodes['All']) + all_pairs = permutations(all_types, 2) + + @pytest.mark.parametrize("pair", all_pairs) + def test_pairs(self, pair): + """ + Check that np.dtype('x,y') matches [np.dtype('x'), np.dtype('y')] + Example: np.dtype('d,I') -> dtype([('f0', ' None: + alias = np.dtype[Any] + assert isinstance(alias, types.GenericAlias) + assert alias.__origin__ is np.dtype + + @pytest.mark.parametrize("code", np.typecodes["All"]) + def test_dtype_subclass(self, code: str) -> None: + cls = type(np.dtype(code)) + alias = cls[Any] + assert isinstance(alias, types.GenericAlias) + assert alias.__origin__ is cls + + @pytest.mark.parametrize("arg_len", range(4)) + def test_subscript_tuple(self, arg_len: int) -> None: + arg_tup = (Any,) * arg_len + if arg_len == 1: + assert np.dtype[arg_tup] + else: + with pytest.raises(TypeError): + np.dtype[arg_tup] + + def test_subscript_scalar(self) -> None: + assert np.dtype[Any] + + +def test_result_type_integers_and_unitless_timedelta64(): + # Regression test for gh-20077. The following call of `result_type` + # would cause a seg. fault. + td = np.timedelta64(4) + result = np.result_type(0, td) + assert_dtype_equal(result, td.dtype) + + +def test_creating_dtype_with_dtype_class_errors(): + # Regression test for #25031, calling `np.dtype` with itself segfaulted. + with pytest.raises(TypeError, match="Cannot convert np.dtype into a"): + np.array(np.ones(10), dtype=np.dtype) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_einsum.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_einsum.py new file mode 100644 index 0000000000000000000000000000000000000000..636c97f03e87995fa07df6819ceb5c924a32954f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_einsum.py @@ -0,0 +1,1229 @@ +import itertools + +import pytest + +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_almost_equal, + assert_raises, suppress_warnings, assert_raises_regex, assert_allclose + ) + +# Setup for optimize einsum +chars = 'abcdefghij' +sizes = np.array([2, 3, 4, 5, 4, 3, 2, 6, 5, 4, 3]) +global_size_dict = dict(zip(chars, sizes)) + + +class TestEinsum: + @pytest.mark.parametrize("do_opt", [True, False]) + @pytest.mark.parametrize("einsum_fn", [np.einsum, np.einsum_path]) + def test_einsum_errors(self, do_opt, einsum_fn): + # Need enough arguments + assert_raises(ValueError, einsum_fn, optimize=do_opt) + assert_raises(ValueError, einsum_fn, "", optimize=do_opt) + + # subscripts must be a string + assert_raises(TypeError, einsum_fn, 0, 0, optimize=do_opt) + + # issue 4528 revealed a segfault with this call + assert_raises(TypeError, einsum_fn, *(None,)*63, optimize=do_opt) + + # number of operands must match count in subscripts string + assert_raises(ValueError, einsum_fn, "", 0, 0, optimize=do_opt) + assert_raises(ValueError, einsum_fn, ",", 0, [0], [0], + optimize=do_opt) + assert_raises(ValueError, einsum_fn, ",", [0], optimize=do_opt) + + # can't have more subscripts than dimensions in the operand + assert_raises(ValueError, einsum_fn, "i", 0, optimize=do_opt) + assert_raises(ValueError, einsum_fn, "ij", [0, 0], optimize=do_opt) + assert_raises(ValueError, einsum_fn, "...i", 0, optimize=do_opt) + assert_raises(ValueError, einsum_fn, "i...j", [0, 0], optimize=do_opt) + assert_raises(ValueError, einsum_fn, "i...", 0, optimize=do_opt) + assert_raises(ValueError, einsum_fn, "ij...", [0, 0], optimize=do_opt) + + # invalid ellipsis + assert_raises(ValueError, einsum_fn, "i..", [0, 0], optimize=do_opt) + assert_raises(ValueError, einsum_fn, ".i...", [0, 0], optimize=do_opt) + assert_raises(ValueError, einsum_fn, "j->..j", [0, 0], optimize=do_opt) + assert_raises(ValueError, einsum_fn, "j->.j...", [0, 0], + optimize=do_opt) + + # invalid subscript character + assert_raises(ValueError, einsum_fn, "i%...", [0, 0], optimize=do_opt) + assert_raises(ValueError, einsum_fn, "...j$", [0, 0], optimize=do_opt) + assert_raises(ValueError, einsum_fn, "i->&", [0, 0], optimize=do_opt) + + # output subscripts must appear in input + assert_raises(ValueError, einsum_fn, "i->ij", [0, 0], optimize=do_opt) + + # output subscripts may only be specified once + assert_raises(ValueError, einsum_fn, "ij->jij", [[0, 0], [0, 0]], + optimize=do_opt) + + # dimensions must match when being collapsed + assert_raises(ValueError, einsum_fn, "ii", + np.arange(6).reshape(2, 3), optimize=do_opt) + assert_raises(ValueError, einsum_fn, "ii->i", + np.arange(6).reshape(2, 3), optimize=do_opt) + + with assert_raises_regex(ValueError, "'b'"): + # gh-11221 - 'c' erroneously appeared in the error message + a = np.ones((3, 3, 4, 5, 6)) + b = np.ones((3, 4, 5)) + einsum_fn('aabcb,abc', a, b) + + @pytest.mark.parametrize("do_opt", [True, False]) + def test_einsum_specific_errors(self, do_opt): + # out parameter must be an array + assert_raises(TypeError, np.einsum, "", 0, out='test', + optimize=do_opt) + + # order parameter must be a valid order + assert_raises(ValueError, np.einsum, "", 0, order='W', + optimize=do_opt) + + # casting parameter must be a valid casting + assert_raises(ValueError, np.einsum, "", 0, casting='blah', + optimize=do_opt) + + # dtype parameter must be a valid dtype + assert_raises(TypeError, np.einsum, "", 0, dtype='bad_data_type', + optimize=do_opt) + + # other keyword arguments are rejected + assert_raises(TypeError, np.einsum, "", 0, bad_arg=0, optimize=do_opt) + + # broadcasting to new dimensions must be enabled explicitly + assert_raises(ValueError, np.einsum, "i", np.arange(6).reshape(2, 3), + optimize=do_opt) + assert_raises(ValueError, np.einsum, "i->i", [[0, 1], [0, 1]], + out=np.arange(4).reshape(2, 2), optimize=do_opt) + + # Check order kwarg, asanyarray allows 1d to pass through + assert_raises(ValueError, np.einsum, "i->i", + np.arange(6).reshape(-1, 1), optimize=do_opt, order='d') + + def test_einsum_object_errors(self): + # Exceptions created by object arithmetic should + # successfully propagate + + class CustomException(Exception): + pass + + class DestructoBox: + + def __init__(self, value, destruct): + self._val = value + self._destruct = destruct + + def __add__(self, other): + tmp = self._val + other._val + if tmp >= self._destruct: + raise CustomException + else: + self._val = tmp + return self + + def __radd__(self, other): + if other == 0: + return self + else: + return self.__add__(other) + + def __mul__(self, other): + tmp = self._val * other._val + if tmp >= self._destruct: + raise CustomException + else: + self._val = tmp + return self + + def __rmul__(self, other): + if other == 0: + return self + else: + return self.__mul__(other) + + a = np.array([DestructoBox(i, 5) for i in range(1, 10)], + dtype='object').reshape(3, 3) + + # raised from unbuffered_loop_nop1_ndim2 + assert_raises(CustomException, np.einsum, "ij->i", a) + + # raised from unbuffered_loop_nop1_ndim3 + b = np.array([DestructoBox(i, 100) for i in range(0, 27)], + dtype='object').reshape(3, 3, 3) + assert_raises(CustomException, np.einsum, "i...k->...", b) + + # raised from unbuffered_loop_nop2_ndim2 + b = np.array([DestructoBox(i, 55) for i in range(1, 4)], + dtype='object') + assert_raises(CustomException, np.einsum, "ij, j", a, b) + + # raised from unbuffered_loop_nop2_ndim3 + assert_raises(CustomException, np.einsum, "ij, jh", a, a) + + # raised from PyArray_EinsteinSum + assert_raises(CustomException, np.einsum, "ij->", a) + + def test_einsum_views(self): + # pass-through + for do_opt in [True, False]: + a = np.arange(6) + a.shape = (2, 3) + + b = np.einsum("...", a, optimize=do_opt) + assert_(b.base is a) + + b = np.einsum(a, [Ellipsis], optimize=do_opt) + assert_(b.base is a) + + b = np.einsum("ij", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, a) + + b = np.einsum(a, [0, 1], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, a) + + # output is writeable whenever input is writeable + b = np.einsum("...", a, optimize=do_opt) + assert_(b.flags['WRITEABLE']) + a.flags['WRITEABLE'] = False + b = np.einsum("...", a, optimize=do_opt) + assert_(not b.flags['WRITEABLE']) + + # transpose + a = np.arange(6) + a.shape = (2, 3) + + b = np.einsum("ji", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, a.T) + + b = np.einsum(a, [1, 0], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, a.T) + + # diagonal + a = np.arange(9) + a.shape = (3, 3) + + b = np.einsum("ii->i", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[i, i] for i in range(3)]) + + b = np.einsum(a, [0, 0], [0], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[i, i] for i in range(3)]) + + # diagonal with various ways of broadcasting an additional dimension + a = np.arange(27) + a.shape = (3, 3, 3) + + b = np.einsum("...ii->...i", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [[x[i, i] for i in range(3)] for x in a]) + + b = np.einsum(a, [Ellipsis, 0, 0], [Ellipsis, 0], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [[x[i, i] for i in range(3)] for x in a]) + + b = np.einsum("ii...->...i", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [[x[i, i] for i in range(3)] + for x in a.transpose(2, 0, 1)]) + + b = np.einsum(a, [0, 0, Ellipsis], [Ellipsis, 0], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [[x[i, i] for i in range(3)] + for x in a.transpose(2, 0, 1)]) + + b = np.einsum("...ii->i...", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[:, i, i] for i in range(3)]) + + b = np.einsum(a, [Ellipsis, 0, 0], [0, Ellipsis], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[:, i, i] for i in range(3)]) + + b = np.einsum("jii->ij", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[:, i, i] for i in range(3)]) + + b = np.einsum(a, [1, 0, 0], [0, 1], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[:, i, i] for i in range(3)]) + + b = np.einsum("ii...->i...", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a.transpose(2, 0, 1)[:, i, i] for i in range(3)]) + + b = np.einsum(a, [0, 0, Ellipsis], [0, Ellipsis], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a.transpose(2, 0, 1)[:, i, i] for i in range(3)]) + + b = np.einsum("i...i->i...", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a.transpose(1, 0, 2)[:, i, i] for i in range(3)]) + + b = np.einsum(a, [0, Ellipsis, 0], [0, Ellipsis], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a.transpose(1, 0, 2)[:, i, i] for i in range(3)]) + + b = np.einsum("i...i->...i", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [[x[i, i] for i in range(3)] + for x in a.transpose(1, 0, 2)]) + + b = np.einsum(a, [0, Ellipsis, 0], [Ellipsis, 0], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [[x[i, i] for i in range(3)] + for x in a.transpose(1, 0, 2)]) + + # triple diagonal + a = np.arange(27) + a.shape = (3, 3, 3) + + b = np.einsum("iii->i", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[i, i, i] for i in range(3)]) + + b = np.einsum(a, [0, 0, 0], [0], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, [a[i, i, i] for i in range(3)]) + + # swap axes + a = np.arange(24) + a.shape = (2, 3, 4) + + b = np.einsum("ijk->jik", a, optimize=do_opt) + assert_(b.base is a) + assert_equal(b, a.swapaxes(0, 1)) + + b = np.einsum(a, [0, 1, 2], [1, 0, 2], optimize=do_opt) + assert_(b.base is a) + assert_equal(b, a.swapaxes(0, 1)) + + def check_einsum_sums(self, dtype, do_opt=False): + dtype = np.dtype(dtype) + # Check various sums. Does many sizes to exercise unrolled loops. + + # sum(a, axis=-1) + for n in range(1, 17): + a = np.arange(n, dtype=dtype) + b = np.sum(a, axis=-1) + if hasattr(b, 'astype'): + b = b.astype(dtype) + assert_equal(np.einsum("i->", a, optimize=do_opt), b) + assert_equal(np.einsum(a, [0], [], optimize=do_opt), b) + + for n in range(1, 17): + a = np.arange(2*3*n, dtype=dtype).reshape(2, 3, n) + b = np.sum(a, axis=-1) + if hasattr(b, 'astype'): + b = b.astype(dtype) + assert_equal(np.einsum("...i->...", a, optimize=do_opt), b) + assert_equal(np.einsum(a, [Ellipsis, 0], [Ellipsis], optimize=do_opt), b) + + # sum(a, axis=0) + for n in range(1, 17): + a = np.arange(2*n, dtype=dtype).reshape(2, n) + b = np.sum(a, axis=0) + if hasattr(b, 'astype'): + b = b.astype(dtype) + assert_equal(np.einsum("i...->...", a, optimize=do_opt), b) + assert_equal(np.einsum(a, [0, Ellipsis], [Ellipsis], optimize=do_opt), b) + + for n in range(1, 17): + a = np.arange(2*3*n, dtype=dtype).reshape(2, 3, n) + b = np.sum(a, axis=0) + if hasattr(b, 'astype'): + b = b.astype(dtype) + assert_equal(np.einsum("i...->...", a, optimize=do_opt), b) + assert_equal(np.einsum(a, [0, Ellipsis], [Ellipsis], optimize=do_opt), b) + + # trace(a) + for n in range(1, 17): + a = np.arange(n*n, dtype=dtype).reshape(n, n) + b = np.trace(a) + if hasattr(b, 'astype'): + b = b.astype(dtype) + assert_equal(np.einsum("ii", a, optimize=do_opt), b) + assert_equal(np.einsum(a, [0, 0], optimize=do_opt), b) + + # gh-15961: should accept numpy int64 type in subscript list + np_array = np.asarray([0, 0]) + assert_equal(np.einsum(a, np_array, optimize=do_opt), b) + assert_equal(np.einsum(a, list(np_array), optimize=do_opt), b) + + # multiply(a, b) + assert_equal(np.einsum("..., ...", 3, 4), 12) # scalar case + for n in range(1, 17): + a = np.arange(3 * n, dtype=dtype).reshape(3, n) + b = np.arange(2 * 3 * n, dtype=dtype).reshape(2, 3, n) + assert_equal(np.einsum("..., ...", a, b, optimize=do_opt), + np.multiply(a, b)) + assert_equal(np.einsum(a, [Ellipsis], b, [Ellipsis], optimize=do_opt), + np.multiply(a, b)) + + # inner(a,b) + for n in range(1, 17): + a = np.arange(2 * 3 * n, dtype=dtype).reshape(2, 3, n) + b = np.arange(n, dtype=dtype) + assert_equal(np.einsum("...i, ...i", a, b, optimize=do_opt), np.inner(a, b)) + assert_equal(np.einsum(a, [Ellipsis, 0], b, [Ellipsis, 0], optimize=do_opt), + np.inner(a, b)) + + for n in range(1, 11): + a = np.arange(n * 3 * 2, dtype=dtype).reshape(n, 3, 2) + b = np.arange(n, dtype=dtype) + assert_equal(np.einsum("i..., i...", a, b, optimize=do_opt), + np.inner(a.T, b.T).T) + assert_equal(np.einsum(a, [0, Ellipsis], b, [0, Ellipsis], optimize=do_opt), + np.inner(a.T, b.T).T) + + # outer(a,b) + for n in range(1, 17): + a = np.arange(3, dtype=dtype)+1 + b = np.arange(n, dtype=dtype)+1 + assert_equal(np.einsum("i,j", a, b, optimize=do_opt), + np.outer(a, b)) + assert_equal(np.einsum(a, [0], b, [1], optimize=do_opt), + np.outer(a, b)) + + # Suppress the complex warnings for the 'as f8' tests + with suppress_warnings() as sup: + sup.filter(np.exceptions.ComplexWarning) + + # matvec(a,b) / a.dot(b) where a is matrix, b is vector + for n in range(1, 17): + a = np.arange(4*n, dtype=dtype).reshape(4, n) + b = np.arange(n, dtype=dtype) + assert_equal(np.einsum("ij, j", a, b, optimize=do_opt), + np.dot(a, b)) + assert_equal(np.einsum(a, [0, 1], b, [1], optimize=do_opt), + np.dot(a, b)) + + c = np.arange(4, dtype=dtype) + np.einsum("ij,j", a, b, out=c, + dtype='f8', casting='unsafe', optimize=do_opt) + assert_equal(c, + np.dot(a.astype('f8'), + b.astype('f8')).astype(dtype)) + c[...] = 0 + np.einsum(a, [0, 1], b, [1], out=c, + dtype='f8', casting='unsafe', optimize=do_opt) + assert_equal(c, + np.dot(a.astype('f8'), + b.astype('f8')).astype(dtype)) + + for n in range(1, 17): + a = np.arange(4*n, dtype=dtype).reshape(4, n) + b = np.arange(n, dtype=dtype) + assert_equal(np.einsum("ji,j", a.T, b.T, optimize=do_opt), + np.dot(b.T, a.T)) + assert_equal(np.einsum(a.T, [1, 0], b.T, [1], optimize=do_opt), + np.dot(b.T, a.T)) + + c = np.arange(4, dtype=dtype) + np.einsum("ji,j", a.T, b.T, out=c, + dtype='f8', casting='unsafe', optimize=do_opt) + assert_equal(c, + np.dot(b.T.astype('f8'), + a.T.astype('f8')).astype(dtype)) + c[...] = 0 + np.einsum(a.T, [1, 0], b.T, [1], out=c, + dtype='f8', casting='unsafe', optimize=do_opt) + assert_equal(c, + np.dot(b.T.astype('f8'), + a.T.astype('f8')).astype(dtype)) + + # matmat(a,b) / a.dot(b) where a is matrix, b is matrix + for n in range(1, 17): + if n < 8 or dtype != 'f2': + a = np.arange(4*n, dtype=dtype).reshape(4, n) + b = np.arange(n*6, dtype=dtype).reshape(n, 6) + assert_equal(np.einsum("ij,jk", a, b, optimize=do_opt), + np.dot(a, b)) + assert_equal(np.einsum(a, [0, 1], b, [1, 2], optimize=do_opt), + np.dot(a, b)) + + for n in range(1, 17): + a = np.arange(4*n, dtype=dtype).reshape(4, n) + b = np.arange(n*6, dtype=dtype).reshape(n, 6) + c = np.arange(24, dtype=dtype).reshape(4, 6) + np.einsum("ij,jk", a, b, out=c, dtype='f8', casting='unsafe', + optimize=do_opt) + assert_equal(c, + np.dot(a.astype('f8'), + b.astype('f8')).astype(dtype)) + c[...] = 0 + np.einsum(a, [0, 1], b, [1, 2], out=c, + dtype='f8', casting='unsafe', optimize=do_opt) + assert_equal(c, + np.dot(a.astype('f8'), + b.astype('f8')).astype(dtype)) + + # matrix triple product (note this is not currently an efficient + # way to multiply 3 matrices) + a = np.arange(12, dtype=dtype).reshape(3, 4) + b = np.arange(20, dtype=dtype).reshape(4, 5) + c = np.arange(30, dtype=dtype).reshape(5, 6) + if dtype != 'f2': + assert_equal(np.einsum("ij,jk,kl", a, b, c, optimize=do_opt), + a.dot(b).dot(c)) + assert_equal(np.einsum(a, [0, 1], b, [1, 2], c, [2, 3], + optimize=do_opt), a.dot(b).dot(c)) + + d = np.arange(18, dtype=dtype).reshape(3, 6) + np.einsum("ij,jk,kl", a, b, c, out=d, + dtype='f8', casting='unsafe', optimize=do_opt) + tgt = a.astype('f8').dot(b.astype('f8')) + tgt = tgt.dot(c.astype('f8')).astype(dtype) + assert_equal(d, tgt) + + d[...] = 0 + np.einsum(a, [0, 1], b, [1, 2], c, [2, 3], out=d, + dtype='f8', casting='unsafe', optimize=do_opt) + tgt = a.astype('f8').dot(b.astype('f8')) + tgt = tgt.dot(c.astype('f8')).astype(dtype) + assert_equal(d, tgt) + + # tensordot(a, b) + if np.dtype(dtype) != np.dtype('f2'): + a = np.arange(60, dtype=dtype).reshape(3, 4, 5) + b = np.arange(24, dtype=dtype).reshape(4, 3, 2) + assert_equal(np.einsum("ijk, jil -> kl", a, b), + np.tensordot(a, b, axes=([1, 0], [0, 1]))) + assert_equal(np.einsum(a, [0, 1, 2], b, [1, 0, 3], [2, 3]), + np.tensordot(a, b, axes=([1, 0], [0, 1]))) + + c = np.arange(10, dtype=dtype).reshape(5, 2) + np.einsum("ijk,jil->kl", a, b, out=c, + dtype='f8', casting='unsafe', optimize=do_opt) + assert_equal(c, np.tensordot(a.astype('f8'), b.astype('f8'), + axes=([1, 0], [0, 1])).astype(dtype)) + c[...] = 0 + np.einsum(a, [0, 1, 2], b, [1, 0, 3], [2, 3], out=c, + dtype='f8', casting='unsafe', optimize=do_opt) + assert_equal(c, np.tensordot(a.astype('f8'), b.astype('f8'), + axes=([1, 0], [0, 1])).astype(dtype)) + + # logical_and(logical_and(a!=0, b!=0), c!=0) + neg_val = -2 if dtype.kind != "u" else np.iinfo(dtype).max - 1 + a = np.array([1, 3, neg_val, 0, 12, 13, 0, 1], dtype=dtype) + b = np.array([0, 3.5, 0., neg_val, 0, 1, 3, 12], dtype=dtype) + c = np.array([True, True, False, True, True, False, True, True]) + + assert_equal(np.einsum("i,i,i->i", a, b, c, + dtype='?', casting='unsafe', optimize=do_opt), + np.logical_and(np.logical_and(a != 0, b != 0), c != 0)) + assert_equal(np.einsum(a, [0], b, [0], c, [0], [0], + dtype='?', casting='unsafe'), + np.logical_and(np.logical_and(a != 0, b != 0), c != 0)) + + a = np.arange(9, dtype=dtype) + assert_equal(np.einsum(",i->", 3, a), 3*np.sum(a)) + assert_equal(np.einsum(3, [], a, [0], []), 3*np.sum(a)) + assert_equal(np.einsum("i,->", a, 3), 3*np.sum(a)) + assert_equal(np.einsum(a, [0], 3, [], []), 3*np.sum(a)) + + # Various stride0, contiguous, and SSE aligned variants + for n in range(1, 25): + a = np.arange(n, dtype=dtype) + if np.dtype(dtype).itemsize > 1: + assert_equal(np.einsum("...,...", a, a, optimize=do_opt), + np.multiply(a, a)) + assert_equal(np.einsum("i,i", a, a, optimize=do_opt), np.dot(a, a)) + assert_equal(np.einsum("i,->i", a, 2, optimize=do_opt), 2*a) + assert_equal(np.einsum(",i->i", 2, a, optimize=do_opt), 2*a) + assert_equal(np.einsum("i,->", a, 2, optimize=do_opt), 2*np.sum(a)) + assert_equal(np.einsum(",i->", 2, a, optimize=do_opt), 2*np.sum(a)) + + assert_equal(np.einsum("...,...", a[1:], a[:-1], optimize=do_opt), + np.multiply(a[1:], a[:-1])) + assert_equal(np.einsum("i,i", a[1:], a[:-1], optimize=do_opt), + np.dot(a[1:], a[:-1])) + assert_equal(np.einsum("i,->i", a[1:], 2, optimize=do_opt), 2*a[1:]) + assert_equal(np.einsum(",i->i", 2, a[1:], optimize=do_opt), 2*a[1:]) + assert_equal(np.einsum("i,->", a[1:], 2, optimize=do_opt), + 2*np.sum(a[1:])) + assert_equal(np.einsum(",i->", 2, a[1:], optimize=do_opt), + 2*np.sum(a[1:])) + + # An object array, summed as the data type + a = np.arange(9, dtype=object) + + b = np.einsum("i->", a, dtype=dtype, casting='unsafe') + assert_equal(b, np.sum(a)) + if hasattr(b, "dtype"): + # Can be a python object when dtype is object + assert_equal(b.dtype, np.dtype(dtype)) + + b = np.einsum(a, [0], [], dtype=dtype, casting='unsafe') + assert_equal(b, np.sum(a)) + if hasattr(b, "dtype"): + # Can be a python object when dtype is object + assert_equal(b.dtype, np.dtype(dtype)) + + # A case which was failing (ticket #1885) + p = np.arange(2) + 1 + q = np.arange(4).reshape(2, 2) + 3 + r = np.arange(4).reshape(2, 2) + 7 + assert_equal(np.einsum('z,mz,zm->', p, q, r), 253) + + # singleton dimensions broadcast (gh-10343) + p = np.ones((10,2)) + q = np.ones((1,2)) + assert_array_equal(np.einsum('ij,ij->j', p, q, optimize=True), + np.einsum('ij,ij->j', p, q, optimize=False)) + assert_array_equal(np.einsum('ij,ij->j', p, q, optimize=True), + [10.] * 2) + + # a blas-compatible contraction broadcasting case which was failing + # for optimize=True (ticket #10930) + x = np.array([2., 3.]) + y = np.array([4.]) + assert_array_equal(np.einsum("i, i", x, y, optimize=False), 20.) + assert_array_equal(np.einsum("i, i", x, y, optimize=True), 20.) + + # all-ones array was bypassing bug (ticket #10930) + p = np.ones((1, 5)) / 2 + q = np.ones((5, 5)) / 2 + for optimize in (True, False): + assert_array_equal(np.einsum("...ij,...jk->...ik", p, p, + optimize=optimize), + np.einsum("...ij,...jk->...ik", p, q, + optimize=optimize)) + assert_array_equal(np.einsum("...ij,...jk->...ik", p, q, + optimize=optimize), + np.full((1, 5), 1.25)) + + # Cases which were failing (gh-10899) + x = np.eye(2, dtype=dtype) + y = np.ones(2, dtype=dtype) + assert_array_equal(np.einsum("ji,i->", x, y, optimize=optimize), + [2.]) # contig_contig_outstride0_two + assert_array_equal(np.einsum("i,ij->", y, x, optimize=optimize), + [2.]) # stride0_contig_outstride0_two + assert_array_equal(np.einsum("ij,i->", x, y, optimize=optimize), + [2.]) # contig_stride0_outstride0_two + + def test_einsum_sums_int8(self): + self.check_einsum_sums('i1') + + def test_einsum_sums_uint8(self): + self.check_einsum_sums('u1') + + def test_einsum_sums_int16(self): + self.check_einsum_sums('i2') + + def test_einsum_sums_uint16(self): + self.check_einsum_sums('u2') + + def test_einsum_sums_int32(self): + self.check_einsum_sums('i4') + self.check_einsum_sums('i4', True) + + def test_einsum_sums_uint32(self): + self.check_einsum_sums('u4') + self.check_einsum_sums('u4', True) + + def test_einsum_sums_int64(self): + self.check_einsum_sums('i8') + + def test_einsum_sums_uint64(self): + self.check_einsum_sums('u8') + + def test_einsum_sums_float16(self): + self.check_einsum_sums('f2') + + def test_einsum_sums_float32(self): + self.check_einsum_sums('f4') + + def test_einsum_sums_float64(self): + self.check_einsum_sums('f8') + self.check_einsum_sums('f8', True) + + def test_einsum_sums_longdouble(self): + self.check_einsum_sums(np.longdouble) + + def test_einsum_sums_cfloat64(self): + self.check_einsum_sums('c8') + self.check_einsum_sums('c8', True) + + def test_einsum_sums_cfloat128(self): + self.check_einsum_sums('c16') + + def test_einsum_sums_clongdouble(self): + self.check_einsum_sums(np.clongdouble) + + def test_einsum_sums_object(self): + self.check_einsum_sums('object') + self.check_einsum_sums('object', True) + + def test_einsum_misc(self): + # This call used to crash because of a bug in + # PyArray_AssignZero + a = np.ones((1, 2)) + b = np.ones((2, 2, 1)) + assert_equal(np.einsum('ij...,j...->i...', a, b), [[[2], [2]]]) + assert_equal(np.einsum('ij...,j...->i...', a, b, optimize=True), [[[2], [2]]]) + + # Regression test for issue #10369 (test unicode inputs with Python 2) + assert_equal(np.einsum('ij...,j...->i...', a, b), [[[2], [2]]]) + assert_equal(np.einsum('...i,...i', [1, 2, 3], [2, 3, 4]), 20) + assert_equal(np.einsum('...i,...i', [1, 2, 3], [2, 3, 4], + optimize='greedy'), 20) + + # The iterator had an issue with buffering this reduction + a = np.ones((5, 12, 4, 2, 3), np.int64) + b = np.ones((5, 12, 11), np.int64) + assert_equal(np.einsum('ijklm,ijn,ijn->', a, b, b), + np.einsum('ijklm,ijn->', a, b)) + assert_equal(np.einsum('ijklm,ijn,ijn->', a, b, b, optimize=True), + np.einsum('ijklm,ijn->', a, b, optimize=True)) + + # Issue #2027, was a problem in the contiguous 3-argument + # inner loop implementation + a = np.arange(1, 3) + b = np.arange(1, 5).reshape(2, 2) + c = np.arange(1, 9).reshape(4, 2) + assert_equal(np.einsum('x,yx,zx->xzy', a, b, c), + [[[1, 3], [3, 9], [5, 15], [7, 21]], + [[8, 16], [16, 32], [24, 48], [32, 64]]]) + assert_equal(np.einsum('x,yx,zx->xzy', a, b, c, optimize=True), + [[[1, 3], [3, 9], [5, 15], [7, 21]], + [[8, 16], [16, 32], [24, 48], [32, 64]]]) + + # Ensure explicitly setting out=None does not cause an error + # see issue gh-15776 and issue gh-15256 + assert_equal(np.einsum('i,j', [1], [2], out=None), [[2]]) + + def test_object_loop(self): + + class Mult: + def __mul__(self, other): + return 42 + + objMult = np.array([Mult()]) + objNULL = np.ndarray(buffer = b'\0' * np.intp(0).itemsize, shape=1, dtype=object) + + with pytest.raises(TypeError): + np.einsum("i,j", [1], objNULL) + with pytest.raises(TypeError): + np.einsum("i,j", objNULL, [1]) + assert np.einsum("i,j", objMult, objMult) == 42 + + def test_subscript_range(self): + # Issue #7741, make sure that all letters of Latin alphabet (both uppercase & lowercase) can be used + # when creating a subscript from arrays + a = np.ones((2, 3)) + b = np.ones((3, 4)) + np.einsum(a, [0, 20], b, [20, 2], [0, 2], optimize=False) + np.einsum(a, [0, 27], b, [27, 2], [0, 2], optimize=False) + np.einsum(a, [0, 51], b, [51, 2], [0, 2], optimize=False) + assert_raises(ValueError, lambda: np.einsum(a, [0, 52], b, [52, 2], [0, 2], optimize=False)) + assert_raises(ValueError, lambda: np.einsum(a, [-1, 5], b, [5, 2], [-1, 2], optimize=False)) + + def test_einsum_broadcast(self): + # Issue #2455 change in handling ellipsis + # remove the 'middle broadcast' error + # only use the 'RIGHT' iteration in prepare_op_axes + # adds auto broadcast on left where it belongs + # broadcast on right has to be explicit + # We need to test the optimized parsing as well + + A = np.arange(2 * 3 * 4).reshape(2, 3, 4) + B = np.arange(3) + ref = np.einsum('ijk,j->ijk', A, B, optimize=False) + for opt in [True, False]: + assert_equal(np.einsum('ij...,j...->ij...', A, B, optimize=opt), ref) + assert_equal(np.einsum('ij...,...j->ij...', A, B, optimize=opt), ref) + assert_equal(np.einsum('ij...,j->ij...', A, B, optimize=opt), ref) # used to raise error + + A = np.arange(12).reshape((4, 3)) + B = np.arange(6).reshape((3, 2)) + ref = np.einsum('ik,kj->ij', A, B, optimize=False) + for opt in [True, False]: + assert_equal(np.einsum('ik...,k...->i...', A, B, optimize=opt), ref) + assert_equal(np.einsum('ik...,...kj->i...j', A, B, optimize=opt), ref) + assert_equal(np.einsum('...k,kj', A, B, optimize=opt), ref) # used to raise error + assert_equal(np.einsum('ik,k...->i...', A, B, optimize=opt), ref) # used to raise error + + dims = [2, 3, 4, 5] + a = np.arange(np.prod(dims)).reshape(dims) + v = np.arange(dims[2]) + ref = np.einsum('ijkl,k->ijl', a, v, optimize=False) + for opt in [True, False]: + assert_equal(np.einsum('ijkl,k', a, v, optimize=opt), ref) + assert_equal(np.einsum('...kl,k', a, v, optimize=opt), ref) # used to raise error + assert_equal(np.einsum('...kl,k...', a, v, optimize=opt), ref) + + J, K, M = 160, 160, 120 + A = np.arange(J * K * M).reshape(1, 1, 1, J, K, M) + B = np.arange(J * K * M * 3).reshape(J, K, M, 3) + ref = np.einsum('...lmn,...lmno->...o', A, B, optimize=False) + for opt in [True, False]: + assert_equal(np.einsum('...lmn,lmno->...o', A, B, + optimize=opt), ref) # used to raise error + + def test_einsum_fixedstridebug(self): + # Issue #4485 obscure einsum bug + # This case revealed a bug in nditer where it reported a stride + # as 'fixed' (0) when it was in fact not fixed during processing + # (0 or 4). The reason for the bug was that the check for a fixed + # stride was using the information from the 2D inner loop reuse + # to restrict the iteration dimensions it had to validate to be + # the same, but that 2D inner loop reuse logic is only triggered + # during the buffer copying step, and hence it was invalid to + # rely on those values. The fix is to check all the dimensions + # of the stride in question, which in the test case reveals that + # the stride is not fixed. + # + # NOTE: This test is triggered by the fact that the default buffersize, + # used by einsum, is 8192, and 3*2731 = 8193, is larger than that + # and results in a mismatch between the buffering and the + # striding for operand A. + A = np.arange(2 * 3).reshape(2, 3).astype(np.float32) + B = np.arange(2 * 3 * 2731).reshape(2, 3, 2731).astype(np.int16) + es = np.einsum('cl, cpx->lpx', A, B) + tp = np.tensordot(A, B, axes=(0, 0)) + assert_equal(es, tp) + # The following is the original test case from the bug report, + # made repeatable by changing random arrays to aranges. + A = np.arange(3 * 3).reshape(3, 3).astype(np.float64) + B = np.arange(3 * 3 * 64 * 64).reshape(3, 3, 64, 64).astype(np.float32) + es = np.einsum('cl, cpxy->lpxy', A, B) + tp = np.tensordot(A, B, axes=(0, 0)) + assert_equal(es, tp) + + def test_einsum_fixed_collapsingbug(self): + # Issue #5147. + # The bug only occurred when output argument of einssum was used. + x = np.random.normal(0, 1, (5, 5, 5, 5)) + y1 = np.zeros((5, 5)) + np.einsum('aabb->ab', x, out=y1) + idx = np.arange(5) + y2 = x[idx[:, None], idx[:, None], idx, idx] + assert_equal(y1, y2) + + def test_einsum_failed_on_p9_and_s390x(self): + # Issues gh-14692 and gh-12689 + # Bug with signed vs unsigned char errored on power9 and s390x Linux + tensor = np.random.random_sample((10, 10, 10, 10)) + x = np.einsum('ijij->', tensor) + y = tensor.trace(axis1=0, axis2=2).trace() + assert_allclose(x, y) + + def test_einsum_all_contig_non_contig_output(self): + # Issue gh-5907, tests that the all contiguous special case + # actually checks the contiguity of the output + x = np.ones((5, 5)) + out = np.ones(10)[::2] + correct_base = np.ones(10) + correct_base[::2] = 5 + # Always worked (inner iteration is done with 0-stride): + np.einsum('mi,mi,mi->m', x, x, x, out=out) + assert_array_equal(out.base, correct_base) + # Example 1: + out = np.ones(10)[::2] + np.einsum('im,im,im->m', x, x, x, out=out) + assert_array_equal(out.base, correct_base) + # Example 2, buffering causes x to be contiguous but + # special cases do not catch the operation before: + out = np.ones((2, 2, 2))[..., 0] + correct_base = np.ones((2, 2, 2)) + correct_base[..., 0] = 2 + x = np.ones((2, 2), np.float32) + np.einsum('ij,jk->ik', x, x, out=out) + assert_array_equal(out.base, correct_base) + + @pytest.mark.parametrize("dtype", + np.typecodes["AllFloat"] + np.typecodes["AllInteger"]) + def test_different_paths(self, dtype): + # Test originally added to cover broken float16 path: gh-20305 + # Likely most are covered elsewhere, at least partially. + dtype = np.dtype(dtype) + # Simple test, designed to exercise most specialized code paths, + # note the +0.5 for floats. This makes sure we use a float value + # where the results must be exact. + arr = (np.arange(7) + 0.5).astype(dtype) + scalar = np.array(2, dtype=dtype) + + # contig -> scalar: + res = np.einsum('i->', arr) + assert res == arr.sum() + # contig, contig -> contig: + res = np.einsum('i,i->i', arr, arr) + assert_array_equal(res, arr * arr) + # noncontig, noncontig -> contig: + res = np.einsum('i,i->i', arr.repeat(2)[::2], arr.repeat(2)[::2]) + assert_array_equal(res, arr * arr) + # contig + contig -> scalar + assert np.einsum('i,i->', arr, arr) == (arr * arr).sum() + # contig + scalar -> contig (with out) + out = np.ones(7, dtype=dtype) + res = np.einsum('i,->i', arr, dtype.type(2), out=out) + assert_array_equal(res, arr * dtype.type(2)) + # scalar + contig -> contig (with out) + res = np.einsum(',i->i', scalar, arr) + assert_array_equal(res, arr * dtype.type(2)) + # scalar + contig -> scalar + res = np.einsum(',i->', scalar, arr) + # Use einsum to compare to not have difference due to sum round-offs: + assert res == np.einsum('i->', scalar * arr) + # contig + scalar -> scalar + res = np.einsum('i,->', arr, scalar) + # Use einsum to compare to not have difference due to sum round-offs: + assert res == np.einsum('i->', scalar * arr) + # contig + contig + contig -> scalar + arr = np.array([0.5, 0.5, 0.25, 4.5, 3.], dtype=dtype) + res = np.einsum('i,i,i->', arr, arr, arr) + assert_array_equal(res, (arr * arr * arr).sum()) + # four arrays: + res = np.einsum('i,i,i,i->', arr, arr, arr, arr) + assert_array_equal(res, (arr * arr * arr * arr).sum()) + + def test_small_boolean_arrays(self): + # See gh-5946. + # Use array of True embedded in False. + a = np.zeros((16, 1, 1), dtype=np.bool)[:2] + a[...] = True + out = np.zeros((16, 1, 1), dtype=np.bool)[:2] + tgt = np.ones((2, 1, 1), dtype=np.bool) + res = np.einsum('...ij,...jk->...ik', a, a, out=out) + assert_equal(res, tgt) + + def test_out_is_res(self): + a = np.arange(9).reshape(3, 3) + res = np.einsum('...ij,...jk->...ik', a, a, out=a) + assert res is a + + def optimize_compare(self, subscripts, operands=None): + # Tests all paths of the optimization function against + # conventional einsum + if operands is None: + args = [subscripts] + terms = subscripts.split('->')[0].split(',') + for term in terms: + dims = [global_size_dict[x] for x in term] + args.append(np.random.rand(*dims)) + else: + args = [subscripts] + operands + + noopt = np.einsum(*args, optimize=False) + opt = np.einsum(*args, optimize='greedy') + assert_almost_equal(opt, noopt) + opt = np.einsum(*args, optimize='optimal') + assert_almost_equal(opt, noopt) + + def test_hadamard_like_products(self): + # Hadamard outer products + self.optimize_compare('a,ab,abc->abc') + self.optimize_compare('a,b,ab->ab') + + def test_index_transformations(self): + # Simple index transformation cases + self.optimize_compare('ea,fb,gc,hd,abcd->efgh') + self.optimize_compare('ea,fb,abcd,gc,hd->efgh') + self.optimize_compare('abcd,ea,fb,gc,hd->efgh') + + def test_complex(self): + # Long test cases + self.optimize_compare('acdf,jbje,gihb,hfac,gfac,gifabc,hfac') + self.optimize_compare('acdf,jbje,gihb,hfac,gfac,gifabc,hfac') + self.optimize_compare('cd,bdhe,aidb,hgca,gc,hgibcd,hgac') + self.optimize_compare('abhe,hidj,jgba,hiab,gab') + self.optimize_compare('bde,cdh,agdb,hica,ibd,hgicd,hiac') + self.optimize_compare('chd,bde,agbc,hiad,hgc,hgi,hiad') + self.optimize_compare('chd,bde,agbc,hiad,bdi,cgh,agdb') + self.optimize_compare('bdhe,acad,hiab,agac,hibd') + + def test_collapse(self): + # Inner products + self.optimize_compare('ab,ab,c->') + self.optimize_compare('ab,ab,c->c') + self.optimize_compare('ab,ab,cd,cd->') + self.optimize_compare('ab,ab,cd,cd->ac') + self.optimize_compare('ab,ab,cd,cd->cd') + self.optimize_compare('ab,ab,cd,cd,ef,ef->') + + def test_expand(self): + # Outer products + self.optimize_compare('ab,cd,ef->abcdef') + self.optimize_compare('ab,cd,ef->acdf') + self.optimize_compare('ab,cd,de->abcde') + self.optimize_compare('ab,cd,de->be') + self.optimize_compare('ab,bcd,cd->abcd') + self.optimize_compare('ab,bcd,cd->abd') + + def test_edge_cases(self): + # Difficult edge cases for optimization + self.optimize_compare('eb,cb,fb->cef') + self.optimize_compare('dd,fb,be,cdb->cef') + self.optimize_compare('bca,cdb,dbf,afc->') + self.optimize_compare('dcc,fce,ea,dbf->ab') + self.optimize_compare('fdf,cdd,ccd,afe->ae') + self.optimize_compare('abcd,ad') + self.optimize_compare('ed,fcd,ff,bcf->be') + self.optimize_compare('baa,dcf,af,cde->be') + self.optimize_compare('bd,db,eac->ace') + self.optimize_compare('fff,fae,bef,def->abd') + self.optimize_compare('efc,dbc,acf,fd->abe') + self.optimize_compare('ba,ac,da->bcd') + + def test_inner_product(self): + # Inner products + self.optimize_compare('ab,ab') + self.optimize_compare('ab,ba') + self.optimize_compare('abc,abc') + self.optimize_compare('abc,bac') + self.optimize_compare('abc,cba') + + def test_random_cases(self): + # Randomly built test cases + self.optimize_compare('aab,fa,df,ecc->bde') + self.optimize_compare('ecb,fef,bad,ed->ac') + self.optimize_compare('bcf,bbb,fbf,fc->') + self.optimize_compare('bb,ff,be->e') + self.optimize_compare('bcb,bb,fc,fff->') + self.optimize_compare('fbb,dfd,fc,fc->') + self.optimize_compare('afd,ba,cc,dc->bf') + self.optimize_compare('adb,bc,fa,cfc->d') + self.optimize_compare('bbd,bda,fc,db->acf') + self.optimize_compare('dba,ead,cad->bce') + self.optimize_compare('aef,fbc,dca->bde') + + def test_combined_views_mapping(self): + # gh-10792 + a = np.arange(9).reshape(1, 1, 3, 1, 3) + b = np.einsum('bbcdc->d', a) + assert_equal(b, [12]) + + def test_broadcasting_dot_cases(self): + # Ensures broadcasting cases are not mistaken for GEMM + + a = np.random.rand(1, 5, 4) + b = np.random.rand(4, 6) + c = np.random.rand(5, 6) + d = np.random.rand(10) + + self.optimize_compare('ijk,kl,jl', operands=[a, b, c]) + self.optimize_compare('ijk,kl,jl,i->i', operands=[a, b, c, d]) + + e = np.random.rand(1, 1, 5, 4) + f = np.random.rand(7, 7) + self.optimize_compare('abjk,kl,jl', operands=[e, b, c]) + self.optimize_compare('abjk,kl,jl,ab->ab', operands=[e, b, c, f]) + + # Edge case found in gh-11308 + g = np.arange(64).reshape(2, 4, 8) + self.optimize_compare('obk,ijk->ioj', operands=[g, g]) + + def test_output_order(self): + # Ensure output order is respected for optimize cases, the below + # contraction should yield a reshaped tensor view + # gh-16415 + + a = np.ones((2, 3, 5), order='F') + b = np.ones((4, 3), order='F') + + for opt in [True, False]: + tmp = np.einsum('...ft,mf->...mt', a, b, order='a', optimize=opt) + assert_(tmp.flags.f_contiguous) + + tmp = np.einsum('...ft,mf->...mt', a, b, order='f', optimize=opt) + assert_(tmp.flags.f_contiguous) + + tmp = np.einsum('...ft,mf->...mt', a, b, order='c', optimize=opt) + assert_(tmp.flags.c_contiguous) + + tmp = np.einsum('...ft,mf->...mt', a, b, order='k', optimize=opt) + assert_(tmp.flags.c_contiguous is False) + assert_(tmp.flags.f_contiguous is False) + + tmp = np.einsum('...ft,mf->...mt', a, b, optimize=opt) + assert_(tmp.flags.c_contiguous is False) + assert_(tmp.flags.f_contiguous is False) + + c = np.ones((4, 3), order='C') + for opt in [True, False]: + tmp = np.einsum('...ft,mf->...mt', a, c, order='a', optimize=opt) + assert_(tmp.flags.c_contiguous) + + d = np.ones((2, 3, 5), order='C') + for opt in [True, False]: + tmp = np.einsum('...ft,mf->...mt', d, c, order='a', optimize=opt) + assert_(tmp.flags.c_contiguous) + +class TestEinsumPath: + def build_operands(self, string, size_dict=global_size_dict): + + # Builds views based off initial operands + operands = [string] + terms = string.split('->')[0].split(',') + for term in terms: + dims = [size_dict[x] for x in term] + operands.append(np.random.rand(*dims)) + + return operands + + def assert_path_equal(self, comp, benchmark): + # Checks if list of tuples are equivalent + ret = (len(comp) == len(benchmark)) + assert_(ret) + for pos in range(len(comp) - 1): + ret &= isinstance(comp[pos + 1], tuple) + ret &= (comp[pos + 1] == benchmark[pos + 1]) + assert_(ret) + + def test_memory_contraints(self): + # Ensure memory constraints are satisfied + + outer_test = self.build_operands('a,b,c->abc') + + path, path_str = np.einsum_path(*outer_test, optimize=('greedy', 0)) + self.assert_path_equal(path, ['einsum_path', (0, 1, 2)]) + + path, path_str = np.einsum_path(*outer_test, optimize=('optimal', 0)) + self.assert_path_equal(path, ['einsum_path', (0, 1, 2)]) + + long_test = self.build_operands('acdf,jbje,gihb,hfac') + path, path_str = np.einsum_path(*long_test, optimize=('greedy', 0)) + self.assert_path_equal(path, ['einsum_path', (0, 1, 2, 3)]) + + path, path_str = np.einsum_path(*long_test, optimize=('optimal', 0)) + self.assert_path_equal(path, ['einsum_path', (0, 1, 2, 3)]) + + def test_long_paths(self): + # Long complex cases + + # Long test 1 + long_test1 = self.build_operands('acdf,jbje,gihb,hfac,gfac,gifabc,hfac') + path, path_str = np.einsum_path(*long_test1, optimize='greedy') + self.assert_path_equal(path, ['einsum_path', + (3, 6), (3, 4), (2, 4), (2, 3), (0, 2), (0, 1)]) + + path, path_str = np.einsum_path(*long_test1, optimize='optimal') + self.assert_path_equal(path, ['einsum_path', + (3, 6), (3, 4), (2, 4), (2, 3), (0, 2), (0, 1)]) + + # Long test 2 + long_test2 = self.build_operands('chd,bde,agbc,hiad,bdi,cgh,agdb') + path, path_str = np.einsum_path(*long_test2, optimize='greedy') + self.assert_path_equal(path, ['einsum_path', + (3, 4), (0, 3), (3, 4), (1, 3), (1, 2), (0, 1)]) + + path, path_str = np.einsum_path(*long_test2, optimize='optimal') + self.assert_path_equal(path, ['einsum_path', + (0, 5), (1, 4), (3, 4), (1, 3), (1, 2), (0, 1)]) + + def test_edge_paths(self): + # Difficult edge cases + + # Edge test1 + edge_test1 = self.build_operands('eb,cb,fb->cef') + path, path_str = np.einsum_path(*edge_test1, optimize='greedy') + self.assert_path_equal(path, ['einsum_path', (0, 2), (0, 1)]) + + path, path_str = np.einsum_path(*edge_test1, optimize='optimal') + self.assert_path_equal(path, ['einsum_path', (0, 2), (0, 1)]) + + # Edge test2 + edge_test2 = self.build_operands('dd,fb,be,cdb->cef') + path, path_str = np.einsum_path(*edge_test2, optimize='greedy') + self.assert_path_equal(path, ['einsum_path', (0, 3), (0, 1), (0, 1)]) + + path, path_str = np.einsum_path(*edge_test2, optimize='optimal') + self.assert_path_equal(path, ['einsum_path', (0, 3), (0, 1), (0, 1)]) + + # Edge test3 + edge_test3 = self.build_operands('bca,cdb,dbf,afc->') + path, path_str = np.einsum_path(*edge_test3, optimize='greedy') + self.assert_path_equal(path, ['einsum_path', (1, 2), (0, 2), (0, 1)]) + + path, path_str = np.einsum_path(*edge_test3, optimize='optimal') + self.assert_path_equal(path, ['einsum_path', (1, 2), (0, 2), (0, 1)]) + + # Edge test4 + edge_test4 = self.build_operands('dcc,fce,ea,dbf->ab') + path, path_str = np.einsum_path(*edge_test4, optimize='greedy') + self.assert_path_equal(path, ['einsum_path', (1, 2), (0, 1), (0, 1)]) + + path, path_str = np.einsum_path(*edge_test4, optimize='optimal') + self.assert_path_equal(path, ['einsum_path', (1, 2), (0, 2), (0, 1)]) + + # Edge test5 + edge_test4 = self.build_operands('a,ac,ab,ad,cd,bd,bc->', + size_dict={"a": 20, "b": 20, "c": 20, "d": 20}) + path, path_str = np.einsum_path(*edge_test4, optimize='greedy') + self.assert_path_equal(path, ['einsum_path', (0, 1), (0, 1, 2, 3, 4, 5)]) + + path, path_str = np.einsum_path(*edge_test4, optimize='optimal') + self.assert_path_equal(path, ['einsum_path', (0, 1), (0, 1, 2, 3, 4, 5)]) + + def test_path_type_input(self): + # Test explicit path handling + path_test = self.build_operands('dcc,fce,ea,dbf->ab') + + path, path_str = np.einsum_path(*path_test, optimize=False) + self.assert_path_equal(path, ['einsum_path', (0, 1, 2, 3)]) + + path, path_str = np.einsum_path(*path_test, optimize=True) + self.assert_path_equal(path, ['einsum_path', (1, 2), (0, 1), (0, 1)]) + + exp_path = ['einsum_path', (0, 2), (0, 2), (0, 1)] + path, path_str = np.einsum_path(*path_test, optimize=exp_path) + self.assert_path_equal(path, exp_path) + + # Double check einsum works on the input path + noopt = np.einsum(*path_test, optimize=False) + opt = np.einsum(*path_test, optimize=exp_path) + assert_almost_equal(noopt, opt) + + def test_path_type_input_internal_trace(self): + #gh-20962 + path_test = self.build_operands('cab,cdd->ab') + exp_path = ['einsum_path', (1,), (0, 1)] + + path, path_str = np.einsum_path(*path_test, optimize=exp_path) + self.assert_path_equal(path, exp_path) + + # Double check einsum works on the input path + noopt = np.einsum(*path_test, optimize=False) + opt = np.einsum(*path_test, optimize=exp_path) + assert_almost_equal(noopt, opt) + + def test_path_type_input_invalid(self): + path_test = self.build_operands('ab,bc,cd,de->ae') + exp_path = ['einsum_path', (2, 3), (0, 1)] + assert_raises(RuntimeError, np.einsum, *path_test, optimize=exp_path) + assert_raises( + RuntimeError, np.einsum_path, *path_test, optimize=exp_path) + + path_test = self.build_operands('a,a,a->a') + exp_path = ['einsum_path', (1,), (0, 1)] + assert_raises(RuntimeError, np.einsum, *path_test, optimize=exp_path) + assert_raises( + RuntimeError, np.einsum_path, *path_test, optimize=exp_path) + + def test_spaces(self): + #gh-10794 + arr = np.array([[1]]) + for sp in itertools.product(['', ' '], repeat=4): + # no error for any spacing + np.einsum('{}...a{}->{}...a{}'.format(*sp), arr) + +def test_overlap(): + a = np.arange(9, dtype=int).reshape(3, 3) + b = np.arange(9, dtype=int).reshape(3, 3) + d = np.dot(a, b) + # sanity check + c = np.einsum('ij,jk->ik', a, b) + assert_equal(c, d) + #gh-10080, out overlaps one of the operands + c = np.einsum('ij,jk->ik', a, b, out=b) + assert_equal(c, d) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_errstate.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_errstate.py new file mode 100644 index 0000000000000000000000000000000000000000..628c9ddca4113a3e9f11813dc3cbd6e6b2d0c44f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_errstate.py @@ -0,0 +1,129 @@ +import pytest +import sysconfig + +import numpy as np +from numpy.testing import assert_, assert_raises, IS_WASM + +# The floating point emulation on ARM EABI systems lacking a hardware FPU is +# known to be buggy. This is an attempt to identify these hosts. It may not +# catch all possible cases, but it catches the known cases of gh-413 and +# gh-15562. +hosttype = sysconfig.get_config_var('HOST_GNU_TYPE') +arm_softfloat = False if hosttype is None else hosttype.endswith('gnueabi') + +class TestErrstate: + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.skipif(arm_softfloat, + reason='platform/cpu issue with FPU (gh-413,-15562)') + def test_invalid(self): + with np.errstate(all='raise', under='ignore'): + a = -np.arange(3) + # This should work + with np.errstate(invalid='ignore'): + np.sqrt(a) + # While this should fail! + with assert_raises(FloatingPointError): + np.sqrt(a) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.skipif(arm_softfloat, + reason='platform/cpu issue with FPU (gh-15562)') + def test_divide(self): + with np.errstate(all='raise', under='ignore'): + a = -np.arange(3) + # This should work + with np.errstate(divide='ignore'): + a // 0 + # While this should fail! + with assert_raises(FloatingPointError): + a // 0 + # As should this, see gh-15562 + with assert_raises(FloatingPointError): + a // a + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.skipif(arm_softfloat, + reason='platform/cpu issue with FPU (gh-15562)') + def test_errcall(self): + count = 0 + def foo(*args): + nonlocal count + count += 1 + + olderrcall = np.geterrcall() + with np.errstate(call=foo): + assert np.geterrcall() is foo + with np.errstate(call=None): + assert np.geterrcall() is None + assert np.geterrcall() is olderrcall + assert count == 0 + + with np.errstate(call=foo, invalid="call"): + np.array(np.inf) - np.array(np.inf) + + assert count == 1 + + def test_errstate_decorator(self): + @np.errstate(all='ignore') + def foo(): + a = -np.arange(3) + a // 0 + + foo() + + def test_errstate_enter_once(self): + errstate = np.errstate(invalid="warn") + with errstate: + pass + + # The errstate context cannot be entered twice as that would not be + # thread-safe + with pytest.raises(TypeError, + match="Cannot enter `np.errstate` twice"): + with errstate: + pass + + @pytest.mark.skipif(IS_WASM, reason="wasm doesn't support asyncio") + def test_asyncio_safe(self): + # asyncio may not always work, lets assume its fine if missing + # Pyodide/wasm doesn't support it. If this test makes problems, + # it should just be skipped liberally (or run differently). + asyncio = pytest.importorskip("asyncio") + + @np.errstate(invalid="ignore") + def decorated(): + # Decorated non-async function (it is not safe to decorate an + # async one) + assert np.geterr()["invalid"] == "ignore" + + async def func1(): + decorated() + await asyncio.sleep(0.1) + decorated() + + async def func2(): + with np.errstate(invalid="raise"): + assert np.geterr()["invalid"] == "raise" + await asyncio.sleep(0.125) + assert np.geterr()["invalid"] == "raise" + + # for good sport, a third one with yet another state: + async def func3(): + with np.errstate(invalid="print"): + assert np.geterr()["invalid"] == "print" + await asyncio.sleep(0.11) + assert np.geterr()["invalid"] == "print" + + async def main(): + # simply run all three function multiple times: + await asyncio.gather( + func1(), func2(), func3(), func1(), func2(), func3(), + func1(), func2(), func3(), func1(), func2(), func3()) + + loop = asyncio.new_event_loop() + with np.errstate(invalid="warn"): + asyncio.run(main()) + assert np.geterr()["invalid"] == "warn" + + assert np.geterr()["invalid"] == "warn" # the default + loop.close() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_extint128.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_extint128.py new file mode 100644 index 0000000000000000000000000000000000000000..bd97cc20c016ff912a80f6b2f0f79037061d9dcb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_extint128.py @@ -0,0 +1,219 @@ +import itertools +import contextlib +import operator +import pytest + +import numpy as np +import numpy._core._multiarray_tests as mt + +from numpy.testing import assert_raises, assert_equal + + +INT64_MAX = np.iinfo(np.int64).max +INT64_MIN = np.iinfo(np.int64).min +INT64_MID = 2**32 + +# int128 is not two's complement, the sign bit is separate +INT128_MAX = 2**128 - 1 +INT128_MIN = -INT128_MAX +INT128_MID = 2**64 + +INT64_VALUES = ( + [INT64_MIN + j for j in range(20)] + + [INT64_MAX - j for j in range(20)] + + [INT64_MID + j for j in range(-20, 20)] + + [2*INT64_MID + j for j in range(-20, 20)] + + [INT64_MID//2 + j for j in range(-20, 20)] + + list(range(-70, 70)) +) + +INT128_VALUES = ( + [INT128_MIN + j for j in range(20)] + + [INT128_MAX - j for j in range(20)] + + [INT128_MID + j for j in range(-20, 20)] + + [2*INT128_MID + j for j in range(-20, 20)] + + [INT128_MID//2 + j for j in range(-20, 20)] + + list(range(-70, 70)) + + [False] # negative zero +) + +INT64_POS_VALUES = [x for x in INT64_VALUES if x > 0] + + +@contextlib.contextmanager +def exc_iter(*args): + """ + Iterate over Cartesian product of *args, and if an exception is raised, + add information of the current iterate. + """ + + value = [None] + + def iterate(): + for v in itertools.product(*args): + value[0] = v + yield v + + try: + yield iterate() + except Exception: + import traceback + msg = "At: %r\n%s" % (repr(value[0]), + traceback.format_exc()) + raise AssertionError(msg) + + +def test_safe_binop(): + # Test checked arithmetic routines + + ops = [ + (operator.add, 1), + (operator.sub, 2), + (operator.mul, 3) + ] + + with exc_iter(ops, INT64_VALUES, INT64_VALUES) as it: + for xop, a, b in it: + pyop, op = xop + c = pyop(a, b) + + if not (INT64_MIN <= c <= INT64_MAX): + assert_raises(OverflowError, mt.extint_safe_binop, a, b, op) + else: + d = mt.extint_safe_binop(a, b, op) + if c != d: + # assert_equal is slow + assert_equal(d, c) + + +def test_to_128(): + with exc_iter(INT64_VALUES) as it: + for a, in it: + b = mt.extint_to_128(a) + if a != b: + assert_equal(b, a) + + +def test_to_64(): + with exc_iter(INT128_VALUES) as it: + for a, in it: + if not (INT64_MIN <= a <= INT64_MAX): + assert_raises(OverflowError, mt.extint_to_64, a) + else: + b = mt.extint_to_64(a) + if a != b: + assert_equal(b, a) + + +def test_mul_64_64(): + with exc_iter(INT64_VALUES, INT64_VALUES) as it: + for a, b in it: + c = a * b + d = mt.extint_mul_64_64(a, b) + if c != d: + assert_equal(d, c) + + +def test_add_128(): + with exc_iter(INT128_VALUES, INT128_VALUES) as it: + for a, b in it: + c = a + b + if not (INT128_MIN <= c <= INT128_MAX): + assert_raises(OverflowError, mt.extint_add_128, a, b) + else: + d = mt.extint_add_128(a, b) + if c != d: + assert_equal(d, c) + + +def test_sub_128(): + with exc_iter(INT128_VALUES, INT128_VALUES) as it: + for a, b in it: + c = a - b + if not (INT128_MIN <= c <= INT128_MAX): + assert_raises(OverflowError, mt.extint_sub_128, a, b) + else: + d = mt.extint_sub_128(a, b) + if c != d: + assert_equal(d, c) + + +def test_neg_128(): + with exc_iter(INT128_VALUES) as it: + for a, in it: + b = -a + c = mt.extint_neg_128(a) + if b != c: + assert_equal(c, b) + + +def test_shl_128(): + with exc_iter(INT128_VALUES) as it: + for a, in it: + if a < 0: + b = -(((-a) << 1) & (2**128-1)) + else: + b = (a << 1) & (2**128-1) + c = mt.extint_shl_128(a) + if b != c: + assert_equal(c, b) + + +def test_shr_128(): + with exc_iter(INT128_VALUES) as it: + for a, in it: + if a < 0: + b = -((-a) >> 1) + else: + b = a >> 1 + c = mt.extint_shr_128(a) + if b != c: + assert_equal(c, b) + + +def test_gt_128(): + with exc_iter(INT128_VALUES, INT128_VALUES) as it: + for a, b in it: + c = a > b + d = mt.extint_gt_128(a, b) + if c != d: + assert_equal(d, c) + + +@pytest.mark.slow +def test_divmod_128_64(): + with exc_iter(INT128_VALUES, INT64_POS_VALUES) as it: + for a, b in it: + if a >= 0: + c, cr = divmod(a, b) + else: + c, cr = divmod(-a, b) + c = -c + cr = -cr + + d, dr = mt.extint_divmod_128_64(a, b) + + if c != d or d != dr or b*d + dr != a: + assert_equal(d, c) + assert_equal(dr, cr) + assert_equal(b*d + dr, a) + + +def test_floordiv_128_64(): + with exc_iter(INT128_VALUES, INT64_POS_VALUES) as it: + for a, b in it: + c = a // b + d = mt.extint_floordiv_128_64(a, b) + + if c != d: + assert_equal(d, c) + + +def test_ceildiv_128_64(): + with exc_iter(INT128_VALUES, INT64_POS_VALUES) as it: + for a, b in it: + c = (a + b - 1) // b + d = mt.extint_ceildiv_128_64(a, b) + + if c != d: + assert_equal(d, c) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_function_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_function_base.py new file mode 100644 index 0000000000000000000000000000000000000000..b879f12ae8ea0e7e96cc20586be611fa6f4b4d84 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_function_base.py @@ -0,0 +1,488 @@ +import sys +import platform +import pytest + +import numpy as np +from numpy import ( + logspace, linspace, geomspace, dtype, array, arange, isnan, + ndarray, sqrt, nextafter, stack, errstate + ) +from numpy._core import sctypes +from numpy._core.function_base import add_newdoc +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_array_equal, assert_allclose, + IS_PYPY + ) + +def _is_armhf(): + # Check if the current platform is ARMHF (32-bit ARM architecture) + return platform.machine().startswith('arm') and platform.architecture()[0] == '32bit' + +class PhysicalQuantity(float): + def __new__(cls, value): + return float.__new__(cls, value) + + def __add__(self, x): + assert_(isinstance(x, PhysicalQuantity)) + return PhysicalQuantity(float(x) + float(self)) + __radd__ = __add__ + + def __sub__(self, x): + assert_(isinstance(x, PhysicalQuantity)) + return PhysicalQuantity(float(self) - float(x)) + + def __rsub__(self, x): + assert_(isinstance(x, PhysicalQuantity)) + return PhysicalQuantity(float(x) - float(self)) + + def __mul__(self, x): + return PhysicalQuantity(float(x) * float(self)) + __rmul__ = __mul__ + + def __div__(self, x): + return PhysicalQuantity(float(self) / float(x)) + + def __rdiv__(self, x): + return PhysicalQuantity(float(x) / float(self)) + + +class PhysicalQuantity2(ndarray): + __array_priority__ = 10 + + +class TestLogspace: + + def test_basic(self): + y = logspace(0, 6) + assert_(len(y) == 50) + y = logspace(0, 6, num=100) + assert_(y[-1] == 10 ** 6) + y = logspace(0, 6, endpoint=False) + assert_(y[-1] < 10 ** 6) + y = logspace(0, 6, num=7) + assert_array_equal(y, [1, 10, 100, 1e3, 1e4, 1e5, 1e6]) + + def test_start_stop_array(self): + start = array([0., 1.]) + stop = array([6., 7.]) + t1 = logspace(start, stop, 6) + t2 = stack([logspace(_start, _stop, 6) + for _start, _stop in zip(start, stop)], axis=1) + assert_equal(t1, t2) + t3 = logspace(start, stop[0], 6) + t4 = stack([logspace(_start, stop[0], 6) + for _start in start], axis=1) + assert_equal(t3, t4) + t5 = logspace(start, stop, 6, axis=-1) + assert_equal(t5, t2.T) + + @pytest.mark.parametrize("axis", [0, 1, -1]) + def test_base_array(self, axis: int): + start = 1 + stop = 2 + num = 6 + base = array([1, 2]) + t1 = logspace(start, stop, num=num, base=base, axis=axis) + t2 = stack( + [logspace(start, stop, num=num, base=_base) for _base in base], + axis=(axis + 1) % t1.ndim, + ) + assert_equal(t1, t2) + + @pytest.mark.parametrize("axis", [0, 1, -1]) + def test_stop_base_array(self, axis: int): + start = 1 + stop = array([2, 3]) + num = 6 + base = array([1, 2]) + t1 = logspace(start, stop, num=num, base=base, axis=axis) + t2 = stack( + [logspace(start, _stop, num=num, base=_base) + for _stop, _base in zip(stop, base)], + axis=(axis + 1) % t1.ndim, + ) + assert_equal(t1, t2) + + def test_dtype(self): + y = logspace(0, 6, dtype='float32') + assert_equal(y.dtype, dtype('float32')) + y = logspace(0, 6, dtype='float64') + assert_equal(y.dtype, dtype('float64')) + y = logspace(0, 6, dtype='int32') + assert_equal(y.dtype, dtype('int32')) + + def test_physical_quantities(self): + a = PhysicalQuantity(1.0) + b = PhysicalQuantity(5.0) + assert_equal(logspace(a, b), logspace(1.0, 5.0)) + + def test_subclass(self): + a = array(1).view(PhysicalQuantity2) + b = array(7).view(PhysicalQuantity2) + ls = logspace(a, b) + assert type(ls) is PhysicalQuantity2 + assert_equal(ls, logspace(1.0, 7.0)) + ls = logspace(a, b, 1) + assert type(ls) is PhysicalQuantity2 + assert_equal(ls, logspace(1.0, 7.0, 1)) + + +class TestGeomspace: + + def test_basic(self): + y = geomspace(1, 1e6) + assert_(len(y) == 50) + y = geomspace(1, 1e6, num=100) + assert_(y[-1] == 10 ** 6) + y = geomspace(1, 1e6, endpoint=False) + assert_(y[-1] < 10 ** 6) + y = geomspace(1, 1e6, num=7) + assert_array_equal(y, [1, 10, 100, 1e3, 1e4, 1e5, 1e6]) + + y = geomspace(8, 2, num=3) + assert_allclose(y, [8, 4, 2]) + assert_array_equal(y.imag, 0) + + y = geomspace(-1, -100, num=3) + assert_array_equal(y, [-1, -10, -100]) + assert_array_equal(y.imag, 0) + + y = geomspace(-100, -1, num=3) + assert_array_equal(y, [-100, -10, -1]) + assert_array_equal(y.imag, 0) + + def test_boundaries_match_start_and_stop_exactly(self): + # make sure that the boundaries of the returned array exactly + # equal 'start' and 'stop' - this isn't obvious because + # np.exp(np.log(x)) isn't necessarily exactly equal to x + start = 0.3 + stop = 20.3 + + y = geomspace(start, stop, num=1) + assert_equal(y[0], start) + + y = geomspace(start, stop, num=1, endpoint=False) + assert_equal(y[0], start) + + y = geomspace(start, stop, num=3) + assert_equal(y[0], start) + assert_equal(y[-1], stop) + + y = geomspace(start, stop, num=3, endpoint=False) + assert_equal(y[0], start) + + def test_nan_interior(self): + with errstate(invalid='ignore'): + y = geomspace(-3, 3, num=4) + + assert_equal(y[0], -3.0) + assert_(isnan(y[1:-1]).all()) + assert_equal(y[3], 3.0) + + with errstate(invalid='ignore'): + y = geomspace(-3, 3, num=4, endpoint=False) + + assert_equal(y[0], -3.0) + assert_(isnan(y[1:]).all()) + + def test_complex(self): + # Purely imaginary + y = geomspace(1j, 16j, num=5) + assert_allclose(y, [1j, 2j, 4j, 8j, 16j]) + assert_array_equal(y.real, 0) + + y = geomspace(-4j, -324j, num=5) + assert_allclose(y, [-4j, -12j, -36j, -108j, -324j]) + assert_array_equal(y.real, 0) + + y = geomspace(1+1j, 1000+1000j, num=4) + assert_allclose(y, [1+1j, 10+10j, 100+100j, 1000+1000j]) + + y = geomspace(-1+1j, -1000+1000j, num=4) + assert_allclose(y, [-1+1j, -10+10j, -100+100j, -1000+1000j]) + + # Logarithmic spirals + y = geomspace(-1, 1, num=3, dtype=complex) + assert_allclose(y, [-1, 1j, +1]) + + y = geomspace(0+3j, -3+0j, 3) + assert_allclose(y, [0+3j, -3/sqrt(2)+3j/sqrt(2), -3+0j]) + y = geomspace(0+3j, 3+0j, 3) + assert_allclose(y, [0+3j, 3/sqrt(2)+3j/sqrt(2), 3+0j]) + y = geomspace(-3+0j, 0-3j, 3) + assert_allclose(y, [-3+0j, -3/sqrt(2)-3j/sqrt(2), 0-3j]) + y = geomspace(0+3j, -3+0j, 3) + assert_allclose(y, [0+3j, -3/sqrt(2)+3j/sqrt(2), -3+0j]) + y = geomspace(-2-3j, 5+7j, 7) + assert_allclose(y, [-2-3j, -0.29058977-4.15771027j, + 2.08885354-4.34146838j, 4.58345529-3.16355218j, + 6.41401745-0.55233457j, 6.75707386+3.11795092j, + 5+7j]) + + # Type promotion should prevent the -5 from becoming a NaN + y = geomspace(3j, -5, 2) + assert_allclose(y, [3j, -5]) + y = geomspace(-5, 3j, 2) + assert_allclose(y, [-5, 3j]) + + def test_complex_shortest_path(self): + # test the shortest logarithmic spiral is used, see gh-25644 + x = 1.2 + 3.4j + y = np.exp(1j*(np.pi-.1)) * x + z = np.geomspace(x, y, 5) + expected = np.array([1.2 + 3.4j, -1.47384 + 3.2905616j, + -3.33577588 + 1.36842949j, -3.36011056 - 1.30753855j, + -1.53343861 - 3.26321406j]) + np.testing.assert_array_almost_equal(z, expected) + + + def test_dtype(self): + y = geomspace(1, 1e6, dtype='float32') + assert_equal(y.dtype, dtype('float32')) + y = geomspace(1, 1e6, dtype='float64') + assert_equal(y.dtype, dtype('float64')) + y = geomspace(1, 1e6, dtype='int32') + assert_equal(y.dtype, dtype('int32')) + + # Native types + y = geomspace(1, 1e6, dtype=float) + assert_equal(y.dtype, dtype('float64')) + y = geomspace(1, 1e6, dtype=complex) + assert_equal(y.dtype, dtype('complex128')) + + def test_start_stop_array_scalar(self): + lim1 = array([120, 100], dtype="int8") + lim2 = array([-120, -100], dtype="int8") + lim3 = array([1200, 1000], dtype="uint16") + t1 = geomspace(lim1[0], lim1[1], 5) + t2 = geomspace(lim2[0], lim2[1], 5) + t3 = geomspace(lim3[0], lim3[1], 5) + t4 = geomspace(120.0, 100.0, 5) + t5 = geomspace(-120.0, -100.0, 5) + t6 = geomspace(1200.0, 1000.0, 5) + + # t3 uses float32, t6 uses float64 + assert_allclose(t1, t4, rtol=1e-2) + assert_allclose(t2, t5, rtol=1e-2) + assert_allclose(t3, t6, rtol=1e-5) + + def test_start_stop_array(self): + # Try to use all special cases. + start = array([1.e0, 32., 1j, -4j, 1+1j, -1]) + stop = array([1.e4, 2., 16j, -324j, 10000+10000j, 1]) + t1 = geomspace(start, stop, 5) + t2 = stack([geomspace(_start, _stop, 5) + for _start, _stop in zip(start, stop)], axis=1) + assert_equal(t1, t2) + t3 = geomspace(start, stop[0], 5) + t4 = stack([geomspace(_start, stop[0], 5) + for _start in start], axis=1) + assert_equal(t3, t4) + t5 = geomspace(start, stop, 5, axis=-1) + assert_equal(t5, t2.T) + + def test_physical_quantities(self): + a = PhysicalQuantity(1.0) + b = PhysicalQuantity(5.0) + assert_equal(geomspace(a, b), geomspace(1.0, 5.0)) + + def test_subclass(self): + a = array(1).view(PhysicalQuantity2) + b = array(7).view(PhysicalQuantity2) + gs = geomspace(a, b) + assert type(gs) is PhysicalQuantity2 + assert_equal(gs, geomspace(1.0, 7.0)) + gs = geomspace(a, b, 1) + assert type(gs) is PhysicalQuantity2 + assert_equal(gs, geomspace(1.0, 7.0, 1)) + + def test_bounds(self): + assert_raises(ValueError, geomspace, 0, 10) + assert_raises(ValueError, geomspace, 10, 0) + assert_raises(ValueError, geomspace, 0, 0) + + +class TestLinspace: + + def test_basic(self): + y = linspace(0, 10) + assert_(len(y) == 50) + y = linspace(2, 10, num=100) + assert_(y[-1] == 10) + y = linspace(2, 10, endpoint=False) + assert_(y[-1] < 10) + assert_raises(ValueError, linspace, 0, 10, num=-1) + + def test_corner(self): + y = list(linspace(0, 1, 1)) + assert_(y == [0.0], y) + assert_raises(TypeError, linspace, 0, 1, num=2.5) + + def test_type(self): + t1 = linspace(0, 1, 0).dtype + t2 = linspace(0, 1, 1).dtype + t3 = linspace(0, 1, 2).dtype + assert_equal(t1, t2) + assert_equal(t2, t3) + + def test_dtype(self): + y = linspace(0, 6, dtype='float32') + assert_equal(y.dtype, dtype('float32')) + y = linspace(0, 6, dtype='float64') + assert_equal(y.dtype, dtype('float64')) + y = linspace(0, 6, dtype='int32') + assert_equal(y.dtype, dtype('int32')) + + def test_start_stop_array_scalar(self): + lim1 = array([-120, 100], dtype="int8") + lim2 = array([120, -100], dtype="int8") + lim3 = array([1200, 1000], dtype="uint16") + t1 = linspace(lim1[0], lim1[1], 5) + t2 = linspace(lim2[0], lim2[1], 5) + t3 = linspace(lim3[0], lim3[1], 5) + t4 = linspace(-120.0, 100.0, 5) + t5 = linspace(120.0, -100.0, 5) + t6 = linspace(1200.0, 1000.0, 5) + assert_equal(t1, t4) + assert_equal(t2, t5) + assert_equal(t3, t6) + + def test_start_stop_array(self): + start = array([-120, 120], dtype="int8") + stop = array([100, -100], dtype="int8") + t1 = linspace(start, stop, 5) + t2 = stack([linspace(_start, _stop, 5) + for _start, _stop in zip(start, stop)], axis=1) + assert_equal(t1, t2) + t3 = linspace(start, stop[0], 5) + t4 = stack([linspace(_start, stop[0], 5) + for _start in start], axis=1) + assert_equal(t3, t4) + t5 = linspace(start, stop, 5, axis=-1) + assert_equal(t5, t2.T) + + def test_complex(self): + lim1 = linspace(1 + 2j, 3 + 4j, 5) + t1 = array([1.0+2.j, 1.5+2.5j, 2.0+3j, 2.5+3.5j, 3.0+4j]) + lim2 = linspace(1j, 10, 5) + t2 = array([0.0+1.j, 2.5+0.75j, 5.0+0.5j, 7.5+0.25j, 10.0+0j]) + assert_equal(lim1, t1) + assert_equal(lim2, t2) + + def test_physical_quantities(self): + a = PhysicalQuantity(0.0) + b = PhysicalQuantity(1.0) + assert_equal(linspace(a, b), linspace(0.0, 1.0)) + + def test_subclass(self): + a = array(0).view(PhysicalQuantity2) + b = array(1).view(PhysicalQuantity2) + ls = linspace(a, b) + assert type(ls) is PhysicalQuantity2 + assert_equal(ls, linspace(0.0, 1.0)) + ls = linspace(a, b, 1) + assert type(ls) is PhysicalQuantity2 + assert_equal(ls, linspace(0.0, 1.0, 1)) + + def test_array_interface(self): + # Regression test for https://github.com/numpy/numpy/pull/6659 + # Ensure that start/stop can be objects that implement + # __array_interface__ and are convertible to numeric scalars + + class Arrayish: + """ + A generic object that supports the __array_interface__ and hence + can in principle be converted to a numeric scalar, but is not + otherwise recognized as numeric, but also happens to support + multiplication by floats. + + Data should be an object that implements the buffer interface, + and contains at least 4 bytes. + """ + + def __init__(self, data): + self._data = data + + @property + def __array_interface__(self): + return {'shape': (), 'typestr': ' 300) + assert_(len(np.lib._index_tricks_impl.mgrid.__doc__) > 300) + + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + def test_errors_are_ignored(self): + prev_doc = np._core.flatiter.index.__doc__ + # nothing changed, but error ignored, this should probably + # give a warning (or even error) in the future. + add_newdoc("numpy._core", "flatiter", ("index", "bad docstring")) + assert prev_doc == np._core.flatiter.index.__doc__ diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_getlimits.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_getlimits.py new file mode 100644 index 0000000000000000000000000000000000000000..3fe67a1f403735a3b5983e9d42ef588356632dce --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_getlimits.py @@ -0,0 +1,203 @@ +""" Test functions for limits module. + +""" +import types +import warnings +import numpy as np +import pytest +from numpy._core import finfo, iinfo +from numpy import half, single, double, longdouble +from numpy.testing import assert_equal, assert_, assert_raises +from numpy._core.getlimits import _discovered_machar, _float_ma + +################################################## + +class TestPythonFloat: + def test_singleton(self): + ftype = finfo(float) + ftype2 = finfo(float) + assert_equal(id(ftype), id(ftype2)) + +class TestHalf: + def test_singleton(self): + ftype = finfo(half) + ftype2 = finfo(half) + assert_equal(id(ftype), id(ftype2)) + +class TestSingle: + def test_singleton(self): + ftype = finfo(single) + ftype2 = finfo(single) + assert_equal(id(ftype), id(ftype2)) + +class TestDouble: + def test_singleton(self): + ftype = finfo(double) + ftype2 = finfo(double) + assert_equal(id(ftype), id(ftype2)) + +class TestLongdouble: + def test_singleton(self): + ftype = finfo(longdouble) + ftype2 = finfo(longdouble) + assert_equal(id(ftype), id(ftype2)) + +def assert_finfo_equal(f1, f2): + # assert two finfo instances have the same attributes + for attr in ('bits', 'eps', 'epsneg', 'iexp', 'machep', + 'max', 'maxexp', 'min', 'minexp', 'negep', 'nexp', + 'nmant', 'precision', 'resolution', 'tiny', + 'smallest_normal', 'smallest_subnormal'): + assert_equal(getattr(f1, attr), getattr(f2, attr), + f'finfo instances {f1} and {f2} differ on {attr}') + +def assert_iinfo_equal(i1, i2): + # assert two iinfo instances have the same attributes + for attr in ('bits', 'min', 'max'): + assert_equal(getattr(i1, attr), getattr(i2, attr), + f'iinfo instances {i1} and {i2} differ on {attr}') + +class TestFinfo: + def test_basic(self): + dts = list(zip(['f2', 'f4', 'f8', 'c8', 'c16'], + [np.float16, np.float32, np.float64, np.complex64, + np.complex128])) + for dt1, dt2 in dts: + assert_finfo_equal(finfo(dt1), finfo(dt2)) + + assert_raises(ValueError, finfo, 'i4') + + def test_regression_gh23108(self): + # np.float32(1.0) and np.float64(1.0) have the same hash and are + # equal under the == operator + f1 = np.finfo(np.float32(1.0)) + f2 = np.finfo(np.float64(1.0)) + assert f1 != f2 + + def test_regression_gh23867(self): + class NonHashableWithDtype: + __hash__ = None + dtype = np.dtype('float32') + + x = NonHashableWithDtype() + assert np.finfo(x) == np.finfo(x.dtype) + + +class TestIinfo: + def test_basic(self): + dts = list(zip(['i1', 'i2', 'i4', 'i8', + 'u1', 'u2', 'u4', 'u8'], + [np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64])) + for dt1, dt2 in dts: + assert_iinfo_equal(iinfo(dt1), iinfo(dt2)) + + assert_raises(ValueError, iinfo, 'f4') + + def test_unsigned_max(self): + types = np._core.sctypes['uint'] + for T in types: + with np.errstate(over="ignore"): + max_calculated = T(0) - T(1) + assert_equal(iinfo(T).max, max_calculated) + +class TestRepr: + def test_iinfo_repr(self): + expected = "iinfo(min=-32768, max=32767, dtype=int16)" + assert_equal(repr(np.iinfo(np.int16)), expected) + + def test_finfo_repr(self): + expected = "finfo(resolution=1e-06, min=-3.4028235e+38," + \ + " max=3.4028235e+38, dtype=float32)" + assert_equal(repr(np.finfo(np.float32)), expected) + + +def test_instances(): + # Test the finfo and iinfo results on numeric instances agree with + # the results on the corresponding types + + for c in [int, np.int16, np.int32, np.int64]: + class_iinfo = iinfo(c) + instance_iinfo = iinfo(c(12)) + + assert_iinfo_equal(class_iinfo, instance_iinfo) + + for c in [float, np.float16, np.float32, np.float64]: + class_finfo = finfo(c) + instance_finfo = finfo(c(1.2)) + assert_finfo_equal(class_finfo, instance_finfo) + + with pytest.raises(ValueError): + iinfo(10.) + + with pytest.raises(ValueError): + iinfo('hi') + + with pytest.raises(ValueError): + finfo(np.int64(1)) + + +def assert_ma_equal(discovered, ma_like): + # Check MachAr-like objects same as calculated MachAr instances + for key, value in discovered.__dict__.items(): + assert_equal(value, getattr(ma_like, key)) + if hasattr(value, 'shape'): + assert_equal(value.shape, getattr(ma_like, key).shape) + assert_equal(value.dtype, getattr(ma_like, key).dtype) + + +def test_known_types(): + # Test we are correctly compiling parameters for known types + for ftype, ma_like in ((np.float16, _float_ma[16]), + (np.float32, _float_ma[32]), + (np.float64, _float_ma[64])): + assert_ma_equal(_discovered_machar(ftype), ma_like) + # Suppress warning for broken discovery of double double on PPC + with np.errstate(all='ignore'): + ld_ma = _discovered_machar(np.longdouble) + bytes = np.dtype(np.longdouble).itemsize + if (ld_ma.it, ld_ma.maxexp) == (63, 16384) and bytes in (12, 16): + # 80-bit extended precision + assert_ma_equal(ld_ma, _float_ma[80]) + elif (ld_ma.it, ld_ma.maxexp) == (112, 16384) and bytes == 16: + # IEE 754 128-bit + assert_ma_equal(ld_ma, _float_ma[128]) + + +def test_subnormal_warning(): + """Test that the subnormal is zero warning is not being raised.""" + with np.errstate(all='ignore'): + ld_ma = _discovered_machar(np.longdouble) + bytes = np.dtype(np.longdouble).itemsize + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + if (ld_ma.it, ld_ma.maxexp) == (63, 16384) and bytes in (12, 16): + # 80-bit extended precision + ld_ma.smallest_subnormal + assert len(w) == 0 + elif (ld_ma.it, ld_ma.maxexp) == (112, 16384) and bytes == 16: + # IEE 754 128-bit + ld_ma.smallest_subnormal + assert len(w) == 0 + else: + # Double double + ld_ma.smallest_subnormal + # This test may fail on some platforms + assert len(w) == 0 + + +def test_plausible_finfo(): + # Assert that finfo returns reasonable results for all types + for ftype in np._core.sctypes['float'] + np._core.sctypes['complex']: + info = np.finfo(ftype) + assert_(info.nmant > 1) + assert_(info.minexp < -1) + assert_(info.maxexp > 1) + + +class TestRuntimeSubscriptable: + def test_finfo_generic(self): + assert isinstance(np.finfo[np.float64], types.GenericAlias) + + def test_iinfo_generic(self): + assert isinstance(np.iinfo[np.int_], types.GenericAlias) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_half.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_half.py new file mode 100644 index 0000000000000000000000000000000000000000..0eced33b28f8e49cee52eaca18429c1dc9d5309c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_half.py @@ -0,0 +1,567 @@ +import platform +import pytest + +import numpy as np +from numpy import uint16, float16, float32, float64 +from numpy.testing import assert_, assert_equal, IS_WASM + + +def assert_raises_fpe(strmatch, callable, *args, **kwargs): + try: + callable(*args, **kwargs) + except FloatingPointError as exc: + assert_(str(exc).find(strmatch) >= 0, + "Did not raise floating point %s error" % strmatch) + else: + assert_(False, + "Did not raise floating point %s error" % strmatch) + +class TestHalf: + def setup_method(self): + # An array of all possible float16 values + self.all_f16 = np.arange(0x10000, dtype=uint16) + self.all_f16.dtype = float16 + + # NaN value can cause an invalid FP exception if HW is being used + with np.errstate(invalid='ignore'): + self.all_f32 = np.array(self.all_f16, dtype=float32) + self.all_f64 = np.array(self.all_f16, dtype=float64) + + # An array of all non-NaN float16 values, in sorted order + self.nonan_f16 = np.concatenate( + (np.arange(0xfc00, 0x7fff, -1, dtype=uint16), + np.arange(0x0000, 0x7c01, 1, dtype=uint16))) + self.nonan_f16.dtype = float16 + self.nonan_f32 = np.array(self.nonan_f16, dtype=float32) + self.nonan_f64 = np.array(self.nonan_f16, dtype=float64) + + # An array of all finite float16 values, in sorted order + self.finite_f16 = self.nonan_f16[1:-1] + self.finite_f32 = self.nonan_f32[1:-1] + self.finite_f64 = self.nonan_f64[1:-1] + + def test_half_conversions(self): + """Checks that all 16-bit values survive conversion + to/from 32-bit and 64-bit float""" + # Because the underlying routines preserve the NaN bits, every + # value is preserved when converting to/from other floats. + + # Convert from float32 back to float16 + with np.errstate(invalid='ignore'): + b = np.array(self.all_f32, dtype=float16) + # avoid testing NaNs due to differing bit patterns in Q/S NaNs + b_nn = b == b + assert_equal(self.all_f16[b_nn].view(dtype=uint16), + b[b_nn].view(dtype=uint16)) + + # Convert from float64 back to float16 + with np.errstate(invalid='ignore'): + b = np.array(self.all_f64, dtype=float16) + b_nn = b == b + assert_equal(self.all_f16[b_nn].view(dtype=uint16), + b[b_nn].view(dtype=uint16)) + + # Convert float16 to longdouble and back + # This doesn't necessarily preserve the extra NaN bits, + # so exclude NaNs. + a_ld = np.array(self.nonan_f16, dtype=np.longdouble) + b = np.array(a_ld, dtype=float16) + assert_equal(self.nonan_f16.view(dtype=uint16), + b.view(dtype=uint16)) + + # Check the range for which all integers can be represented + i_int = np.arange(-2048, 2049) + i_f16 = np.array(i_int, dtype=float16) + j = np.array(i_f16, dtype=int) + assert_equal(i_int, j) + + @pytest.mark.parametrize("string_dt", ["S", "U"]) + def test_half_conversion_to_string(self, string_dt): + # Currently uses S/U32 (which is sufficient for float32) + expected_dt = np.dtype(f"{string_dt}32") + assert np.promote_types(np.float16, string_dt) == expected_dt + assert np.promote_types(string_dt, np.float16) == expected_dt + + arr = np.ones(3, dtype=np.float16).astype(string_dt) + assert arr.dtype == expected_dt + + @pytest.mark.parametrize("string_dt", ["S", "U"]) + def test_half_conversion_from_string(self, string_dt): + string = np.array("3.1416", dtype=string_dt) + assert string.astype(np.float16) == np.array(3.1416, dtype=np.float16) + + @pytest.mark.parametrize("offset", [None, "up", "down"]) + @pytest.mark.parametrize("shift", [None, "up", "down"]) + @pytest.mark.parametrize("float_t", [np.float32, np.float64]) + def test_half_conversion_rounding(self, float_t, shift, offset): + # Assumes that round to even is used during casting. + max_pattern = np.float16(np.finfo(np.float16).max).view(np.uint16) + + # Test all (positive) finite numbers, denormals are most interesting + # however: + f16s_patterns = np.arange(0, max_pattern+1, dtype=np.uint16) + f16s_float = f16s_patterns.view(np.float16).astype(float_t) + + # Shift the values by half a bit up or a down (or do not shift), + if shift == "up": + f16s_float = 0.5 * (f16s_float[:-1] + f16s_float[1:])[1:] + elif shift == "down": + f16s_float = 0.5 * (f16s_float[:-1] + f16s_float[1:])[:-1] + else: + f16s_float = f16s_float[1:-1] + + # Increase the float by a minimal value: + if offset == "up": + f16s_float = np.nextafter(f16s_float, float_t(np.inf)) + elif offset == "down": + f16s_float = np.nextafter(f16s_float, float_t(-np.inf)) + + # Convert back to float16 and its bit pattern: + res_patterns = f16s_float.astype(np.float16).view(np.uint16) + + # The above calculation tries the original values, or the exact + # midpoints between the float16 values. It then further offsets them + # by as little as possible. If no offset occurs, "round to even" + # logic will be necessary, an arbitrarily small offset should cause + # normal up/down rounding always. + + # Calculate the expected pattern: + cmp_patterns = f16s_patterns[1:-1].copy() + + if shift == "down" and offset != "up": + shift_pattern = -1 + elif shift == "up" and offset != "down": + shift_pattern = 1 + else: + # There cannot be a shift, either shift is None, so all rounding + # will go back to original, or shift is reduced by offset too much. + shift_pattern = 0 + + # If rounding occurs, is it normal rounding or round to even? + if offset is None: + # Round to even occurs, modify only non-even, cast to allow + (-1) + cmp_patterns[0::2].view(np.int16)[...] += shift_pattern + else: + cmp_patterns.view(np.int16)[...] += shift_pattern + + assert_equal(res_patterns, cmp_patterns) + + @pytest.mark.parametrize(["float_t", "uint_t", "bits"], + [(np.float32, np.uint32, 23), + (np.float64, np.uint64, 52)]) + def test_half_conversion_denormal_round_even(self, float_t, uint_t, bits): + # Test specifically that all bits are considered when deciding + # whether round to even should occur (i.e. no bits are lost at the + # end. Compare also gh-12721. The most bits can get lost for the + # smallest denormal: + smallest_value = np.uint16(1).view(np.float16).astype(float_t) + assert smallest_value == 2**-24 + + # Will be rounded to zero based on round to even rule: + rounded_to_zero = smallest_value / float_t(2) + assert rounded_to_zero.astype(np.float16) == 0 + + # The significand will be all 0 for the float_t, test that we do not + # lose the lower ones of these: + for i in range(bits): + # slightly increasing the value should make it round up: + larger_pattern = rounded_to_zero.view(uint_t) | uint_t(1 << i) + larger_value = larger_pattern.view(float_t) + assert larger_value.astype(np.float16) == smallest_value + + def test_nans_infs(self): + with np.errstate(all='ignore'): + # Check some of the ufuncs + assert_equal(np.isnan(self.all_f16), np.isnan(self.all_f32)) + assert_equal(np.isinf(self.all_f16), np.isinf(self.all_f32)) + assert_equal(np.isfinite(self.all_f16), np.isfinite(self.all_f32)) + assert_equal(np.signbit(self.all_f16), np.signbit(self.all_f32)) + assert_equal(np.spacing(float16(65504)), np.inf) + + # Check comparisons of all values with NaN + nan = float16(np.nan) + + assert_(not (self.all_f16 == nan).any()) + assert_(not (nan == self.all_f16).any()) + + assert_((self.all_f16 != nan).all()) + assert_((nan != self.all_f16).all()) + + assert_(not (self.all_f16 < nan).any()) + assert_(not (nan < self.all_f16).any()) + + assert_(not (self.all_f16 <= nan).any()) + assert_(not (nan <= self.all_f16).any()) + + assert_(not (self.all_f16 > nan).any()) + assert_(not (nan > self.all_f16).any()) + + assert_(not (self.all_f16 >= nan).any()) + assert_(not (nan >= self.all_f16).any()) + + def test_half_values(self): + """Confirms a small number of known half values""" + a = np.array([1.0, -1.0, + 2.0, -2.0, + 0.0999755859375, 0.333251953125, # 1/10, 1/3 + 65504, -65504, # Maximum magnitude + 2.0**(-14), -2.0**(-14), # Minimum normal + 2.0**(-24), -2.0**(-24), # Minimum subnormal + 0, -1/1e1000, # Signed zeros + np.inf, -np.inf]) + b = np.array([0x3c00, 0xbc00, + 0x4000, 0xc000, + 0x2e66, 0x3555, + 0x7bff, 0xfbff, + 0x0400, 0x8400, + 0x0001, 0x8001, + 0x0000, 0x8000, + 0x7c00, 0xfc00], dtype=uint16) + b.dtype = float16 + assert_equal(a, b) + + def test_half_rounding(self): + """Checks that rounding when converting to half is correct""" + a = np.array([2.0**-25 + 2.0**-35, # Rounds to minimum subnormal + 2.0**-25, # Underflows to zero (nearest even mode) + 2.0**-26, # Underflows to zero + 1.0+2.0**-11 + 2.0**-16, # rounds to 1.0+2**(-10) + 1.0+2.0**-11, # rounds to 1.0 (nearest even mode) + 1.0+2.0**-12, # rounds to 1.0 + 65519, # rounds to 65504 + 65520], # rounds to inf + dtype=float64) + rounded = [2.0**-24, + 0.0, + 0.0, + 1.0+2.0**(-10), + 1.0, + 1.0, + 65504, + np.inf] + + # Check float64->float16 rounding + with np.errstate(over="ignore"): + b = np.array(a, dtype=float16) + assert_equal(b, rounded) + + # Check float32->float16 rounding + a = np.array(a, dtype=float32) + with np.errstate(over="ignore"): + b = np.array(a, dtype=float16) + assert_equal(b, rounded) + + def test_half_correctness(self): + """Take every finite float16, and check the casting functions with + a manual conversion.""" + + # Create an array of all finite float16s + a_bits = self.finite_f16.view(dtype=uint16) + + # Convert to 64-bit float manually + a_sgn = (-1.0)**((a_bits & 0x8000) >> 15) + a_exp = np.array((a_bits & 0x7c00) >> 10, dtype=np.int32) - 15 + a_man = (a_bits & 0x03ff) * 2.0**(-10) + # Implicit bit of normalized floats + a_man[a_exp != -15] += 1 + # Denormalized exponent is -14 + a_exp[a_exp == -15] = -14 + + a_manual = a_sgn * a_man * 2.0**a_exp + + a32_fail = np.nonzero(self.finite_f32 != a_manual)[0] + if len(a32_fail) != 0: + bad_index = a32_fail[0] + assert_equal(self.finite_f32, a_manual, + "First non-equal is half value 0x%x -> %g != %g" % + (a_bits[bad_index], + self.finite_f32[bad_index], + a_manual[bad_index])) + + a64_fail = np.nonzero(self.finite_f64 != a_manual)[0] + if len(a64_fail) != 0: + bad_index = a64_fail[0] + assert_equal(self.finite_f64, a_manual, + "First non-equal is half value 0x%x -> %g != %g" % + (a_bits[bad_index], + self.finite_f64[bad_index], + a_manual[bad_index])) + + def test_half_ordering(self): + """Make sure comparisons are working right""" + + # All non-NaN float16 values in reverse order + a = self.nonan_f16[::-1].copy() + + # 32-bit float copy + b = np.array(a, dtype=float32) + + # Should sort the same + a.sort() + b.sort() + assert_equal(a, b) + + # Comparisons should work + assert_((a[:-1] <= a[1:]).all()) + assert_(not (a[:-1] > a[1:]).any()) + assert_((a[1:] >= a[:-1]).all()) + assert_(not (a[1:] < a[:-1]).any()) + # All != except for +/-0 + assert_equal(np.nonzero(a[:-1] < a[1:])[0].size, a.size-2) + assert_equal(np.nonzero(a[1:] > a[:-1])[0].size, a.size-2) + + def test_half_funcs(self): + """Test the various ArrFuncs""" + + # fill + assert_equal(np.arange(10, dtype=float16), + np.arange(10, dtype=float32)) + + # fillwithscalar + a = np.zeros((5,), dtype=float16) + a.fill(1) + assert_equal(a, np.ones((5,), dtype=float16)) + + # nonzero and copyswap + a = np.array([0, 0, -1, -1/1e20, 0, 2.0**-24, 7.629e-6], dtype=float16) + assert_equal(a.nonzero()[0], + [2, 5, 6]) + a = a.byteswap() + a = a.view(a.dtype.newbyteorder()) + assert_equal(a.nonzero()[0], + [2, 5, 6]) + + # dot + a = np.arange(0, 10, 0.5, dtype=float16) + b = np.ones((20,), dtype=float16) + assert_equal(np.dot(a, b), + 95) + + # argmax + a = np.array([0, -np.inf, -2, 0.5, 12.55, 7.3, 2.1, 12.4], dtype=float16) + assert_equal(a.argmax(), + 4) + a = np.array([0, -np.inf, -2, np.inf, 12.55, np.nan, 2.1, 12.4], dtype=float16) + assert_equal(a.argmax(), + 5) + + # getitem + a = np.arange(10, dtype=float16) + for i in range(10): + assert_equal(a.item(i), i) + + def test_spacing_nextafter(self): + """Test np.spacing and np.nextafter""" + # All non-negative finite #'s + a = np.arange(0x7c00, dtype=uint16) + hinf = np.array((np.inf,), dtype=float16) + hnan = np.array((np.nan,), dtype=float16) + a_f16 = a.view(dtype=float16) + + assert_equal(np.spacing(a_f16[:-1]), a_f16[1:]-a_f16[:-1]) + + assert_equal(np.nextafter(a_f16[:-1], hinf), a_f16[1:]) + assert_equal(np.nextafter(a_f16[0], -hinf), -a_f16[1]) + assert_equal(np.nextafter(a_f16[1:], -hinf), a_f16[:-1]) + + assert_equal(np.nextafter(hinf, a_f16), a_f16[-1]) + assert_equal(np.nextafter(-hinf, a_f16), -a_f16[-1]) + + assert_equal(np.nextafter(hinf, hinf), hinf) + assert_equal(np.nextafter(hinf, -hinf), a_f16[-1]) + assert_equal(np.nextafter(-hinf, hinf), -a_f16[-1]) + assert_equal(np.nextafter(-hinf, -hinf), -hinf) + + assert_equal(np.nextafter(a_f16, hnan), hnan[0]) + assert_equal(np.nextafter(hnan, a_f16), hnan[0]) + + assert_equal(np.nextafter(hnan, hnan), hnan) + assert_equal(np.nextafter(hinf, hnan), hnan) + assert_equal(np.nextafter(hnan, hinf), hnan) + + # switch to negatives + a |= 0x8000 + + assert_equal(np.spacing(a_f16[0]), np.spacing(a_f16[1])) + assert_equal(np.spacing(a_f16[1:]), a_f16[:-1]-a_f16[1:]) + + assert_equal(np.nextafter(a_f16[0], hinf), -a_f16[1]) + assert_equal(np.nextafter(a_f16[1:], hinf), a_f16[:-1]) + assert_equal(np.nextafter(a_f16[:-1], -hinf), a_f16[1:]) + + assert_equal(np.nextafter(hinf, a_f16), -a_f16[-1]) + assert_equal(np.nextafter(-hinf, a_f16), a_f16[-1]) + + assert_equal(np.nextafter(a_f16, hnan), hnan[0]) + assert_equal(np.nextafter(hnan, a_f16), hnan[0]) + + def test_half_ufuncs(self): + """Test the various ufuncs""" + + a = np.array([0, 1, 2, 4, 2], dtype=float16) + b = np.array([-2, 5, 1, 4, 3], dtype=float16) + c = np.array([0, -1, -np.inf, np.nan, 6], dtype=float16) + + assert_equal(np.add(a, b), [-2, 6, 3, 8, 5]) + assert_equal(np.subtract(a, b), [2, -4, 1, 0, -1]) + assert_equal(np.multiply(a, b), [0, 5, 2, 16, 6]) + assert_equal(np.divide(a, b), [0, 0.199951171875, 2, 1, 0.66650390625]) + + assert_equal(np.equal(a, b), [False, False, False, True, False]) + assert_equal(np.not_equal(a, b), [True, True, True, False, True]) + assert_equal(np.less(a, b), [False, True, False, False, True]) + assert_equal(np.less_equal(a, b), [False, True, False, True, True]) + assert_equal(np.greater(a, b), [True, False, True, False, False]) + assert_equal(np.greater_equal(a, b), [True, False, True, True, False]) + assert_equal(np.logical_and(a, b), [False, True, True, True, True]) + assert_equal(np.logical_or(a, b), [True, True, True, True, True]) + assert_equal(np.logical_xor(a, b), [True, False, False, False, False]) + assert_equal(np.logical_not(a), [True, False, False, False, False]) + + assert_equal(np.isnan(c), [False, False, False, True, False]) + assert_equal(np.isinf(c), [False, False, True, False, False]) + assert_equal(np.isfinite(c), [True, True, False, False, True]) + assert_equal(np.signbit(b), [True, False, False, False, False]) + + assert_equal(np.copysign(b, a), [2, 5, 1, 4, 3]) + + assert_equal(np.maximum(a, b), [0, 5, 2, 4, 3]) + + x = np.maximum(b, c) + assert_(np.isnan(x[3])) + x[3] = 0 + assert_equal(x, [0, 5, 1, 0, 6]) + + assert_equal(np.minimum(a, b), [-2, 1, 1, 4, 2]) + + x = np.minimum(b, c) + assert_(np.isnan(x[3])) + x[3] = 0 + assert_equal(x, [-2, -1, -np.inf, 0, 3]) + + assert_equal(np.fmax(a, b), [0, 5, 2, 4, 3]) + assert_equal(np.fmax(b, c), [0, 5, 1, 4, 6]) + assert_equal(np.fmin(a, b), [-2, 1, 1, 4, 2]) + assert_equal(np.fmin(b, c), [-2, -1, -np.inf, 4, 3]) + + assert_equal(np.floor_divide(a, b), [0, 0, 2, 1, 0]) + assert_equal(np.remainder(a, b), [0, 1, 0, 0, 2]) + assert_equal(np.divmod(a, b), ([0, 0, 2, 1, 0], [0, 1, 0, 0, 2])) + assert_equal(np.square(b), [4, 25, 1, 16, 9]) + assert_equal(np.reciprocal(b), [-0.5, 0.199951171875, 1, 0.25, 0.333251953125]) + assert_equal(np.ones_like(b), [1, 1, 1, 1, 1]) + assert_equal(np.conjugate(b), b) + assert_equal(np.absolute(b), [2, 5, 1, 4, 3]) + assert_equal(np.negative(b), [2, -5, -1, -4, -3]) + assert_equal(np.positive(b), b) + assert_equal(np.sign(b), [-1, 1, 1, 1, 1]) + assert_equal(np.modf(b), ([0, 0, 0, 0, 0], b)) + assert_equal(np.frexp(b), ([-0.5, 0.625, 0.5, 0.5, 0.75], [2, 3, 1, 3, 2])) + assert_equal(np.ldexp(b, [0, 1, 2, 4, 2]), [-2, 10, 4, 64, 12]) + + def test_half_coercion(self): + """Test that half gets coerced properly with the other types""" + a16 = np.array((1,), dtype=float16) + a32 = np.array((1,), dtype=float32) + b16 = float16(1) + b32 = float32(1) + + assert np.power(a16, 2).dtype == float16 + assert np.power(a16, 2.0).dtype == float16 + assert np.power(a16, b16).dtype == float16 + assert np.power(a16, b32).dtype == float32 + assert np.power(a16, a16).dtype == float16 + assert np.power(a16, a32).dtype == float32 + + assert np.power(b16, 2).dtype == float16 + assert np.power(b16, 2.0).dtype == float16 + assert np.power(b16, b16).dtype, float16 + assert np.power(b16, b32).dtype, float32 + assert np.power(b16, a16).dtype, float16 + assert np.power(b16, a32).dtype, float32 + + assert np.power(a32, a16).dtype == float32 + assert np.power(a32, b16).dtype == float32 + assert np.power(b32, a16).dtype == float32 + assert np.power(b32, b16).dtype == float32 + + @pytest.mark.skipif(platform.machine() == "armv5tel", + reason="See gh-413.") + @pytest.mark.skipif(IS_WASM, + reason="fp exceptions don't work in wasm.") + def test_half_fpe(self): + with np.errstate(all='raise'): + sx16 = np.array((1e-4,), dtype=float16) + bx16 = np.array((1e4,), dtype=float16) + sy16 = float16(1e-4) + by16 = float16(1e4) + + # Underflow errors + assert_raises_fpe('underflow', lambda a, b:a*b, sx16, sx16) + assert_raises_fpe('underflow', lambda a, b:a*b, sx16, sy16) + assert_raises_fpe('underflow', lambda a, b:a*b, sy16, sx16) + assert_raises_fpe('underflow', lambda a, b:a*b, sy16, sy16) + assert_raises_fpe('underflow', lambda a, b:a/b, sx16, bx16) + assert_raises_fpe('underflow', lambda a, b:a/b, sx16, by16) + assert_raises_fpe('underflow', lambda a, b:a/b, sy16, bx16) + assert_raises_fpe('underflow', lambda a, b:a/b, sy16, by16) + assert_raises_fpe('underflow', lambda a, b:a/b, + float16(2.**-14), float16(2**11)) + assert_raises_fpe('underflow', lambda a, b:a/b, + float16(-2.**-14), float16(2**11)) + assert_raises_fpe('underflow', lambda a, b:a/b, + float16(2.**-14+2**-24), float16(2)) + assert_raises_fpe('underflow', lambda a, b:a/b, + float16(-2.**-14-2**-24), float16(2)) + assert_raises_fpe('underflow', lambda a, b:a/b, + float16(2.**-14+2**-23), float16(4)) + + # Overflow errors + assert_raises_fpe('overflow', lambda a, b:a*b, bx16, bx16) + assert_raises_fpe('overflow', lambda a, b:a*b, bx16, by16) + assert_raises_fpe('overflow', lambda a, b:a*b, by16, bx16) + assert_raises_fpe('overflow', lambda a, b:a*b, by16, by16) + assert_raises_fpe('overflow', lambda a, b:a/b, bx16, sx16) + assert_raises_fpe('overflow', lambda a, b:a/b, bx16, sy16) + assert_raises_fpe('overflow', lambda a, b:a/b, by16, sx16) + assert_raises_fpe('overflow', lambda a, b:a/b, by16, sy16) + assert_raises_fpe('overflow', lambda a, b:a+b, + float16(65504), float16(17)) + assert_raises_fpe('overflow', lambda a, b:a-b, + float16(-65504), float16(17)) + assert_raises_fpe('overflow', np.nextafter, float16(65504), float16(np.inf)) + assert_raises_fpe('overflow', np.nextafter, float16(-65504), float16(-np.inf)) + assert_raises_fpe('overflow', np.spacing, float16(65504)) + + # Invalid value errors + assert_raises_fpe('invalid', np.divide, float16(np.inf), float16(np.inf)) + assert_raises_fpe('invalid', np.spacing, float16(np.inf)) + assert_raises_fpe('invalid', np.spacing, float16(np.nan)) + + # These should not raise + float16(65472)+float16(32) + float16(2**-13)/float16(2) + float16(2**-14)/float16(2**10) + np.spacing(float16(-65504)) + np.nextafter(float16(65504), float16(-np.inf)) + np.nextafter(float16(-65504), float16(np.inf)) + np.nextafter(float16(np.inf), float16(0)) + np.nextafter(float16(-np.inf), float16(0)) + np.nextafter(float16(0), float16(np.nan)) + np.nextafter(float16(np.nan), float16(0)) + float16(2**-14)/float16(2**10) + float16(-2**-14)/float16(2**10) + float16(2**-14+2**-23)/float16(2) + float16(-2**-14-2**-23)/float16(2) + + def test_half_array_interface(self): + """Test that half is compatible with __array_interface__""" + class Dummy: + pass + + a = np.ones((1,), dtype=float16) + b = Dummy() + b.__array_interface__ = a.__array_interface__ + c = np.array(b) + assert_(c.dtype == float16) + assert_equal(a, c) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_hashtable.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_hashtable.py new file mode 100644 index 0000000000000000000000000000000000000000..41da06be3f2b5010dceebcebd77fdaf458be3e08 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_hashtable.py @@ -0,0 +1,35 @@ +import pytest + +import random +from numpy._core._multiarray_tests import identityhash_tester + + +@pytest.mark.parametrize("key_length", [1, 3, 6]) +@pytest.mark.parametrize("length", [1, 16, 2000]) +def test_identity_hashtable(key_length, length): + # use a 30 object pool for everything (duplicates will happen) + pool = [object() for i in range(20)] + keys_vals = [] + for i in range(length): + keys = tuple(random.choices(pool, k=key_length)) + keys_vals.append((keys, random.choice(pool))) + + dictionary = dict(keys_vals) + + # add a random item at the end: + keys_vals.append(random.choice(keys_vals)) + # the expected one could be different with duplicates: + expected = dictionary[keys_vals[-1][0]] + + res = identityhash_tester(key_length, keys_vals, replace=True) + assert res is expected + + if length == 1: + return + + # add a new item with a key that is already used and a new value, this + # should error if replace is False, see gh-26690 + new_key = (keys_vals[1][0], object()) + keys_vals[0] = new_key + with pytest.raises(RuntimeError): + identityhash_tester(key_length, keys_vals) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_indexerrors.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_indexerrors.py new file mode 100644 index 0000000000000000000000000000000000000000..c1faa9555813a649662e8809df7c9c552c28ee48 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_indexerrors.py @@ -0,0 +1,124 @@ +import numpy as np +from numpy.testing import ( + assert_raises, assert_raises_regex, + ) + + +class TestIndexErrors: + '''Tests to exercise indexerrors not covered by other tests.''' + + def test_arraytypes_fasttake(self): + 'take from a 0-length dimension' + x = np.empty((2, 3, 0, 4)) + assert_raises(IndexError, x.take, [0], axis=2) + assert_raises(IndexError, x.take, [1], axis=2) + assert_raises(IndexError, x.take, [0], axis=2, mode='wrap') + assert_raises(IndexError, x.take, [0], axis=2, mode='clip') + + def test_take_from_object(self): + # Check exception taking from object array + d = np.zeros(5, dtype=object) + assert_raises(IndexError, d.take, [6]) + + # Check exception taking from 0-d array + d = np.zeros((5, 0), dtype=object) + assert_raises(IndexError, d.take, [1], axis=1) + assert_raises(IndexError, d.take, [0], axis=1) + assert_raises(IndexError, d.take, [0]) + assert_raises(IndexError, d.take, [0], mode='wrap') + assert_raises(IndexError, d.take, [0], mode='clip') + + def test_multiindex_exceptions(self): + a = np.empty(5, dtype=object) + assert_raises(IndexError, a.item, 20) + a = np.empty((5, 0), dtype=object) + assert_raises(IndexError, a.item, (0, 0)) + + def test_put_exceptions(self): + a = np.zeros((5, 5)) + assert_raises(IndexError, a.put, 100, 0) + a = np.zeros((5, 5), dtype=object) + assert_raises(IndexError, a.put, 100, 0) + a = np.zeros((5, 5, 0)) + assert_raises(IndexError, a.put, 100, 0) + a = np.zeros((5, 5, 0), dtype=object) + assert_raises(IndexError, a.put, 100, 0) + + def test_iterators_exceptions(self): + "cases in iterators.c" + def assign(obj, ind, val): + obj[ind] = val + + a = np.zeros([1, 2, 3]) + assert_raises(IndexError, lambda: a[0, 5, None, 2]) + assert_raises(IndexError, lambda: a[0, 5, 0, 2]) + assert_raises(IndexError, lambda: assign(a, (0, 5, None, 2), 1)) + assert_raises(IndexError, lambda: assign(a, (0, 5, 0, 2), 1)) + + a = np.zeros([1, 0, 3]) + assert_raises(IndexError, lambda: a[0, 0, None, 2]) + assert_raises(IndexError, lambda: assign(a, (0, 0, None, 2), 1)) + + a = np.zeros([1, 2, 3]) + assert_raises(IndexError, lambda: a.flat[10]) + assert_raises(IndexError, lambda: assign(a.flat, 10, 5)) + a = np.zeros([1, 0, 3]) + assert_raises(IndexError, lambda: a.flat[10]) + assert_raises(IndexError, lambda: assign(a.flat, 10, 5)) + + a = np.zeros([1, 2, 3]) + assert_raises(IndexError, lambda: a.flat[np.array(10)]) + assert_raises(IndexError, lambda: assign(a.flat, np.array(10), 5)) + a = np.zeros([1, 0, 3]) + assert_raises(IndexError, lambda: a.flat[np.array(10)]) + assert_raises(IndexError, lambda: assign(a.flat, np.array(10), 5)) + + a = np.zeros([1, 2, 3]) + assert_raises(IndexError, lambda: a.flat[np.array([10])]) + assert_raises(IndexError, lambda: assign(a.flat, np.array([10]), 5)) + a = np.zeros([1, 0, 3]) + assert_raises(IndexError, lambda: a.flat[np.array([10])]) + assert_raises(IndexError, lambda: assign(a.flat, np.array([10]), 5)) + + def test_mapping(self): + "cases from mapping.c" + + def assign(obj, ind, val): + obj[ind] = val + + a = np.zeros((0, 10)) + assert_raises(IndexError, lambda: a[12]) + + a = np.zeros((3, 5)) + assert_raises(IndexError, lambda: a[(10, 20)]) + assert_raises(IndexError, lambda: assign(a, (10, 20), 1)) + a = np.zeros((3, 0)) + assert_raises(IndexError, lambda: a[(1, 0)]) + assert_raises(IndexError, lambda: assign(a, (1, 0), 1)) + + a = np.zeros((10,)) + assert_raises(IndexError, lambda: assign(a, 10, 1)) + a = np.zeros((0,)) + assert_raises(IndexError, lambda: assign(a, 10, 1)) + + a = np.zeros((3, 5)) + assert_raises(IndexError, lambda: a[(1, [1, 20])]) + assert_raises(IndexError, lambda: assign(a, (1, [1, 20]), 1)) + a = np.zeros((3, 0)) + assert_raises(IndexError, lambda: a[(1, [0, 1])]) + assert_raises(IndexError, lambda: assign(a, (1, [0, 1]), 1)) + + def test_mapping_error_message(self): + a = np.zeros((3, 5)) + index = (1, 2, 3, 4, 5) + assert_raises_regex( + IndexError, + "too many indices for array: " + "array is 2-dimensional, but 5 were indexed", + lambda: a[index]) + + def test_methods(self): + "cases from methods.c" + + a = np.zeros((3, 3)) + assert_raises(IndexError, lambda: a.item(100)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_indexing.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_indexing.py new file mode 100644 index 0000000000000000000000000000000000000000..f393c401cd9b4929cfa04c377891bc5c692fc2e5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_indexing.py @@ -0,0 +1,1444 @@ +import sys +import warnings +import functools +import operator + +import pytest + +import numpy as np +from numpy._core._multiarray_tests import array_indexing +from itertools import product +from numpy.exceptions import ComplexWarning, VisibleDeprecationWarning +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_raises_regex, + assert_array_equal, assert_warns, HAS_REFCOUNT, IS_WASM + ) + + +class TestIndexing: + def test_index_no_floats(self): + a = np.array([[[5]]]) + + assert_raises(IndexError, lambda: a[0.0]) + assert_raises(IndexError, lambda: a[0, 0.0]) + assert_raises(IndexError, lambda: a[0.0, 0]) + assert_raises(IndexError, lambda: a[0.0,:]) + assert_raises(IndexError, lambda: a[:, 0.0]) + assert_raises(IndexError, lambda: a[:, 0.0,:]) + assert_raises(IndexError, lambda: a[0.0,:,:]) + assert_raises(IndexError, lambda: a[0, 0, 0.0]) + assert_raises(IndexError, lambda: a[0.0, 0, 0]) + assert_raises(IndexError, lambda: a[0, 0.0, 0]) + assert_raises(IndexError, lambda: a[-1.4]) + assert_raises(IndexError, lambda: a[0, -1.4]) + assert_raises(IndexError, lambda: a[-1.4, 0]) + assert_raises(IndexError, lambda: a[-1.4,:]) + assert_raises(IndexError, lambda: a[:, -1.4]) + assert_raises(IndexError, lambda: a[:, -1.4,:]) + assert_raises(IndexError, lambda: a[-1.4,:,:]) + assert_raises(IndexError, lambda: a[0, 0, -1.4]) + assert_raises(IndexError, lambda: a[-1.4, 0, 0]) + assert_raises(IndexError, lambda: a[0, -1.4, 0]) + assert_raises(IndexError, lambda: a[0.0:, 0.0]) + assert_raises(IndexError, lambda: a[0.0:, 0.0,:]) + + def test_slicing_no_floats(self): + a = np.array([[5]]) + + # start as float. + assert_raises(TypeError, lambda: a[0.0:]) + assert_raises(TypeError, lambda: a[0:, 0.0:2]) + assert_raises(TypeError, lambda: a[0.0::2, :0]) + assert_raises(TypeError, lambda: a[0.0:1:2,:]) + assert_raises(TypeError, lambda: a[:, 0.0:]) + # stop as float. + assert_raises(TypeError, lambda: a[:0.0]) + assert_raises(TypeError, lambda: a[:0, 1:2.0]) + assert_raises(TypeError, lambda: a[:0.0:2, :0]) + assert_raises(TypeError, lambda: a[:0.0,:]) + assert_raises(TypeError, lambda: a[:, 0:4.0:2]) + # step as float. + assert_raises(TypeError, lambda: a[::1.0]) + assert_raises(TypeError, lambda: a[0:, :2:2.0]) + assert_raises(TypeError, lambda: a[1::4.0, :0]) + assert_raises(TypeError, lambda: a[::5.0,:]) + assert_raises(TypeError, lambda: a[:, 0:4:2.0]) + # mixed. + assert_raises(TypeError, lambda: a[1.0:2:2.0]) + assert_raises(TypeError, lambda: a[1.0::2.0]) + assert_raises(TypeError, lambda: a[0:, :2.0:2.0]) + assert_raises(TypeError, lambda: a[1.0:1:4.0, :0]) + assert_raises(TypeError, lambda: a[1.0:5.0:5.0,:]) + assert_raises(TypeError, lambda: a[:, 0.4:4.0:2.0]) + # should still get the DeprecationWarning if step = 0. + assert_raises(TypeError, lambda: a[::0.0]) + + def test_index_no_array_to_index(self): + # No non-scalar arrays. + a = np.array([[[1]]]) + + assert_raises(TypeError, lambda: a[a:a:a]) + + def test_none_index(self): + # `None` index adds newaxis + a = np.array([1, 2, 3]) + assert_equal(a[None], a[np.newaxis]) + assert_equal(a[None].ndim, a.ndim + 1) + + def test_empty_tuple_index(self): + # Empty tuple index creates a view + a = np.array([1, 2, 3]) + assert_equal(a[()], a) + assert_(a[()].base is a) + a = np.array(0) + assert_(isinstance(a[()], np.int_)) + + def test_void_scalar_empty_tuple(self): + s = np.zeros((), dtype='V4') + assert_equal(s[()].dtype, s.dtype) + assert_equal(s[()], s) + assert_equal(type(s[...]), np.ndarray) + + def test_same_kind_index_casting(self): + # Indexes should be cast with same-kind and not safe, even if that + # is somewhat unsafe. So test various different code paths. + index = np.arange(5) + u_index = index.astype(np.uintp) + arr = np.arange(10) + + assert_array_equal(arr[index], arr[u_index]) + arr[u_index] = np.arange(5) + assert_array_equal(arr, np.arange(10)) + + arr = np.arange(10).reshape(5, 2) + assert_array_equal(arr[index], arr[u_index]) + + arr[u_index] = np.arange(5)[:,None] + assert_array_equal(arr, np.arange(5)[:,None].repeat(2, axis=1)) + + arr = np.arange(25).reshape(5, 5) + assert_array_equal(arr[u_index, u_index], arr[index, index]) + + def test_empty_fancy_index(self): + # Empty list index creates an empty array + # with the same dtype (but with weird shape) + a = np.array([1, 2, 3]) + assert_equal(a[[]], []) + assert_equal(a[[]].dtype, a.dtype) + + b = np.array([], dtype=np.intp) + assert_equal(a[[]], []) + assert_equal(a[[]].dtype, a.dtype) + + b = np.array([]) + assert_raises(IndexError, a.__getitem__, b) + + def test_gh_26542(self): + a = np.array([0, 1, 2]) + idx = np.array([2, 1, 0]) + a[idx] = a + expected = np.array([2, 1, 0]) + assert_equal(a, expected) + + def test_gh_26542_2d(self): + a = np.array([[0, 1, 2]]) + idx_row = np.zeros(3, dtype=int) + idx_col = np.array([2, 1, 0]) + a[idx_row, idx_col] = a + expected = np.array([[2, 1, 0]]) + assert_equal(a, expected) + + def test_gh_26542_index_overlap(self): + arr = np.arange(100) + expected_vals = np.copy(arr[:-10]) + arr[10:] = arr[:-10] + actual_vals = arr[10:] + assert_equal(actual_vals, expected_vals) + + def test_ellipsis_index(self): + a = np.array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]) + assert_(a[...] is not a) + assert_equal(a[...], a) + # `a[...]` was `a` in numpy <1.9. + assert_(a[...].base is a) + + # Slicing with ellipsis can skip an + # arbitrary number of dimensions + assert_equal(a[0, ...], a[0]) + assert_equal(a[0, ...], a[0,:]) + assert_equal(a[..., 0], a[:, 0]) + + # Slicing with ellipsis always results + # in an array, not a scalar + assert_equal(a[0, ..., 1], np.array(2)) + + # Assignment with `(Ellipsis,)` on 0-d arrays + b = np.array(1) + b[(Ellipsis,)] = 2 + assert_equal(b, 2) + + def test_single_int_index(self): + # Single integer index selects one row + a = np.array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]) + + assert_equal(a[0], [1, 2, 3]) + assert_equal(a[-1], [7, 8, 9]) + + # Index out of bounds produces IndexError + assert_raises(IndexError, a.__getitem__, 1 << 30) + # Index overflow produces IndexError + assert_raises(IndexError, a.__getitem__, 1 << 64) + + def test_single_bool_index(self): + # Single boolean index + a = np.array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]) + + assert_equal(a[np.array(True)], a[None]) + assert_equal(a[np.array(False)], a[None][0:0]) + + def test_boolean_shape_mismatch(self): + arr = np.ones((5, 4, 3)) + + index = np.array([True]) + assert_raises(IndexError, arr.__getitem__, index) + + index = np.array([False] * 6) + assert_raises(IndexError, arr.__getitem__, index) + + index = np.zeros((4, 4), dtype=bool) + assert_raises(IndexError, arr.__getitem__, index) + + assert_raises(IndexError, arr.__getitem__, (slice(None), index)) + + def test_boolean_indexing_onedim(self): + # Indexing a 2-dimensional array with + # boolean array of length one + a = np.array([[ 0., 0., 0.]]) + b = np.array([ True], dtype=bool) + assert_equal(a[b], a) + # boolean assignment + a[b] = 1. + assert_equal(a, [[1., 1., 1.]]) + + def test_boolean_assignment_value_mismatch(self): + # A boolean assignment should fail when the shape of the values + # cannot be broadcast to the subscription. (see also gh-3458) + a = np.arange(4) + + def f(a, v): + a[a > -1] = v + + assert_raises(ValueError, f, a, []) + assert_raises(ValueError, f, a, [1, 2, 3]) + assert_raises(ValueError, f, a[:1], [1, 2, 3]) + + def test_boolean_assignment_needs_api(self): + # See also gh-7666 + # This caused a segfault on Python 2 due to the GIL not being + # held when the iterator does not need it, but the transfer function + # does + arr = np.zeros(1000) + indx = np.zeros(1000, dtype=bool) + indx[:100] = True + arr[indx] = np.ones(100, dtype=object) + + expected = np.zeros(1000) + expected[:100] = 1 + assert_array_equal(arr, expected) + + def test_boolean_indexing_twodim(self): + # Indexing a 2-dimensional array with + # 2-dimensional boolean array + a = np.array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]) + b = np.array([[ True, False, True], + [False, True, False], + [ True, False, True]]) + assert_equal(a[b], [1, 3, 5, 7, 9]) + assert_equal(a[b[1]], [[4, 5, 6]]) + assert_equal(a[b[0]], a[b[2]]) + + # boolean assignment + a[b] = 0 + assert_equal(a, [[0, 2, 0], + [4, 0, 6], + [0, 8, 0]]) + + def test_boolean_indexing_list(self): + # Regression test for #13715. It's a use-after-free bug which the + # test won't directly catch, but it will show up in valgrind. + a = np.array([1, 2, 3]) + b = [True, False, True] + # Two variants of the test because the first takes a fast path + assert_equal(a[b], [1, 3]) + assert_equal(a[None, b], [[1, 3]]) + + def test_reverse_strides_and_subspace_bufferinit(self): + # This tests that the strides are not reversed for simple and + # subspace fancy indexing. + a = np.ones(5) + b = np.zeros(5, dtype=np.intp)[::-1] + c = np.arange(5)[::-1] + + a[b] = c + # If the strides are not reversed, the 0 in the arange comes last. + assert_equal(a[0], 0) + + # This also tests that the subspace buffer is initialized: + a = np.ones((5, 2)) + c = np.arange(10).reshape(5, 2)[::-1] + a[b, :] = c + assert_equal(a[0], [0, 1]) + + def test_reversed_strides_result_allocation(self): + # Test a bug when calculating the output strides for a result array + # when the subspace size was 1 (and test other cases as well) + a = np.arange(10)[:, None] + i = np.arange(10)[::-1] + assert_array_equal(a[i], a[i.copy('C')]) + + a = np.arange(20).reshape(-1, 2) + + def test_uncontiguous_subspace_assignment(self): + # During development there was a bug activating a skip logic + # based on ndim instead of size. + a = np.full((3, 4, 2), -1) + b = np.full((3, 4, 2), -1) + + a[[0, 1]] = np.arange(2 * 4 * 2).reshape(2, 4, 2).T + b[[0, 1]] = np.arange(2 * 4 * 2).reshape(2, 4, 2).T.copy() + + assert_equal(a, b) + + def test_too_many_fancy_indices_special_case(self): + # Just documents behaviour, this is a small limitation. + a = np.ones((1,) * 64) # 64 is NPY_MAXDIMS + assert_raises(IndexError, a.__getitem__, (np.array([0]),) * 64) + + def test_scalar_array_bool(self): + # NumPy bools can be used as boolean index (python ones as of yet not) + a = np.array(1) + assert_equal(a[np.bool(True)], a[np.array(True)]) + assert_equal(a[np.bool(False)], a[np.array(False)]) + + # After deprecating bools as integers: + #a = np.array([0,1,2]) + #assert_equal(a[True, :], a[None, :]) + #assert_equal(a[:, True], a[:, None]) + # + #assert_(not np.may_share_memory(a, a[True, :])) + + def test_everything_returns_views(self): + # Before `...` would return a itself. + a = np.arange(5) + + assert_(a is not a[()]) + assert_(a is not a[...]) + assert_(a is not a[:]) + + def test_broaderrors_indexing(self): + a = np.zeros((5, 5)) + assert_raises(IndexError, a.__getitem__, ([0, 1], [0, 1, 2])) + assert_raises(IndexError, a.__setitem__, ([0, 1], [0, 1, 2]), 0) + + def test_trivial_fancy_out_of_bounds(self): + a = np.zeros(5) + ind = np.ones(20, dtype=np.intp) + ind[-1] = 10 + assert_raises(IndexError, a.__getitem__, ind) + assert_raises(IndexError, a.__setitem__, ind, 0) + ind = np.ones(20, dtype=np.intp) + ind[0] = 11 + assert_raises(IndexError, a.__getitem__, ind) + assert_raises(IndexError, a.__setitem__, ind, 0) + + def test_trivial_fancy_not_possible(self): + # Test that the fast path for trivial assignment is not incorrectly + # used when the index is not contiguous or 1D, see also gh-11467. + a = np.arange(6) + idx = np.arange(6, dtype=np.intp).reshape(2, 1, 3)[:, :, 0] + assert_array_equal(a[idx], idx) + + # this case must not go into the fast path, note that idx is + # a non-contiguous none 1D array here. + a[idx] = -1 + res = np.arange(6) + res[0] = -1 + res[3] = -1 + assert_array_equal(a, res) + + def test_nonbaseclass_values(self): + class SubClass(np.ndarray): + def __array_finalize__(self, old): + # Have array finalize do funny things + self.fill(99) + + a = np.zeros((5, 5)) + s = a.copy().view(type=SubClass) + s.fill(1) + + a[[0, 1, 2, 3, 4], :] = s + assert_((a == 1).all()) + + # Subspace is last, so transposing might want to finalize + a[:, [0, 1, 2, 3, 4]] = s + assert_((a == 1).all()) + + a.fill(0) + a[...] = s + assert_((a == 1).all()) + + def test_array_like_values(self): + # Similar to the above test, but use a memoryview instead + a = np.zeros((5, 5)) + s = np.arange(25, dtype=np.float64).reshape(5, 5) + + a[[0, 1, 2, 3, 4], :] = memoryview(s) + assert_array_equal(a, s) + + a[:, [0, 1, 2, 3, 4]] = memoryview(s) + assert_array_equal(a, s) + + a[...] = memoryview(s) + assert_array_equal(a, s) + + @pytest.mark.parametrize("writeable", [True, False]) + def test_subclass_writeable(self, writeable): + d = np.rec.array([('NGC1001', 11), ('NGC1002', 1.), ('NGC1003', 1.)], + dtype=[('target', 'S20'), ('V_mag', '>f4')]) + d.flags.writeable = writeable + # Advanced indexing results are always writeable: + ind = np.array([False, True, True], dtype=bool) + assert d[ind].flags.writeable + ind = np.array([0, 1]) + assert d[ind].flags.writeable + # Views should be writeable if the original array is: + assert d[...].flags.writeable == writeable + assert d[0].flags.writeable == writeable + + def test_memory_order(self): + # This is not necessary to preserve. Memory layouts for + # more complex indices are not as simple. + a = np.arange(10) + b = np.arange(10).reshape(5,2).T + assert_(a[b].flags.f_contiguous) + + # Takes a different implementation branch: + a = a.reshape(-1, 1) + assert_(a[b, 0].flags.f_contiguous) + + def test_scalar_return_type(self): + # Full scalar indices should return scalars and object + # arrays should not call PyArray_Return on their items + class Zero: + # The most basic valid indexing + def __index__(self): + return 0 + + z = Zero() + + class ArrayLike: + # Simple array, should behave like the array + def __array__(self, dtype=None, copy=None): + return np.array(0) + + a = np.zeros(()) + assert_(isinstance(a[()], np.float64)) + a = np.zeros(1) + assert_(isinstance(a[z], np.float64)) + a = np.zeros((1, 1)) + assert_(isinstance(a[z, np.array(0)], np.float64)) + assert_(isinstance(a[z, ArrayLike()], np.float64)) + + # And object arrays do not call it too often: + b = np.array(0) + a = np.array(0, dtype=object) + a[()] = b + assert_(isinstance(a[()], np.ndarray)) + a = np.array([b, None]) + assert_(isinstance(a[z], np.ndarray)) + a = np.array([[b, None]]) + assert_(isinstance(a[z, np.array(0)], np.ndarray)) + assert_(isinstance(a[z, ArrayLike()], np.ndarray)) + + def test_small_regressions(self): + # Reference count of intp for index checks + a = np.array([0]) + if HAS_REFCOUNT: + refcount = sys.getrefcount(np.dtype(np.intp)) + # item setting always checks indices in separate function: + a[np.array([0], dtype=np.intp)] = 1 + a[np.array([0], dtype=np.uint8)] = 1 + assert_raises(IndexError, a.__setitem__, + np.array([1], dtype=np.intp), 1) + assert_raises(IndexError, a.__setitem__, + np.array([1], dtype=np.uint8), 1) + + if HAS_REFCOUNT: + assert_equal(sys.getrefcount(np.dtype(np.intp)), refcount) + + def test_unaligned(self): + v = (np.zeros(64, dtype=np.int8) + ord('a'))[1:-7] + d = v.view(np.dtype("S8")) + # unaligned source + x = (np.zeros(16, dtype=np.int8) + ord('a'))[1:-7] + x = x.view(np.dtype("S8")) + x[...] = np.array("b" * 8, dtype="S") + b = np.arange(d.size) + #trivial + assert_equal(d[b], d) + d[b] = x + # nontrivial + # unaligned index array + b = np.zeros(d.size + 1).view(np.int8)[1:-(np.intp(0).itemsize - 1)] + b = b.view(np.intp)[:d.size] + b[...] = np.arange(d.size) + assert_equal(d[b.astype(np.int16)], d) + d[b.astype(np.int16)] = x + # boolean + d[b % 2 == 0] + d[b % 2 == 0] = x[::2] + + def test_tuple_subclass(self): + arr = np.ones((5, 5)) + + # A tuple subclass should also be an nd-index + class TupleSubclass(tuple): + pass + index = ([1], [1]) + index = TupleSubclass(index) + assert_(arr[index].shape == (1,)) + # Unlike the non nd-index: + assert_(arr[index,].shape != (1,)) + + def test_broken_sequence_not_nd_index(self): + # See gh-5063: + # If we have an object which claims to be a sequence, but fails + # on item getting, this should not be converted to an nd-index (tuple) + # If this object happens to be a valid index otherwise, it should work + # This object here is very dubious and probably bad though: + class SequenceLike: + def __index__(self): + return 0 + + def __len__(self): + return 1 + + def __getitem__(self, item): + raise IndexError('Not possible') + + arr = np.arange(10) + assert_array_equal(arr[SequenceLike()], arr[SequenceLike(),]) + + # also test that field indexing does not segfault + # for a similar reason, by indexing a structured array + arr = np.zeros((1,), dtype=[('f1', 'i8'), ('f2', 'i8')]) + assert_array_equal(arr[SequenceLike()], arr[SequenceLike(),]) + + def test_indexing_array_weird_strides(self): + # See also gh-6221 + # the shapes used here come from the issue and create the correct + # size for the iterator buffering size. + x = np.ones(10) + x2 = np.ones((10, 2)) + ind = np.arange(10)[:, None, None, None] + ind = np.broadcast_to(ind, (10, 55, 4, 4)) + + # single advanced index case + assert_array_equal(x[ind], x[ind.copy()]) + # higher dimensional advanced index + zind = np.zeros(4, dtype=np.intp) + assert_array_equal(x2[ind, zind], x2[ind.copy(), zind]) + + def test_indexing_array_negative_strides(self): + # From gh-8264, + # core dumps if negative strides are used in iteration + arro = np.zeros((4, 4)) + arr = arro[::-1, ::-1] + + slices = (slice(None), [0, 1, 2, 3]) + arr[slices] = 10 + assert_array_equal(arr, 10.) + + def test_character_assignment(self): + # This is an example a function going through CopyObject which + # used to have an untested special path for scalars + # (the character special dtype case, should be deprecated probably) + arr = np.zeros((1, 5), dtype="c") + arr[0] = np.str_("asdfg") # must assign as a sequence + assert_array_equal(arr[0], np.array("asdfg", dtype="c")) + assert arr[0, 1] == b"s" # make sure not all were set to "a" for both + + @pytest.mark.parametrize("index", + [True, False, np.array([0])]) + @pytest.mark.parametrize("num", [64, 80]) + @pytest.mark.parametrize("original_ndim", [1, 64]) + def test_too_many_advanced_indices(self, index, num, original_ndim): + # These are limitations based on the number of arguments we can process. + # For `num=32` (and all boolean cases), the result is actually define; + # but the use of NpyIter (NPY_MAXARGS) limits it for technical reasons. + arr = np.ones((1,) * original_ndim) + with pytest.raises(IndexError): + arr[(index,) * num] + with pytest.raises(IndexError): + arr[(index,) * num] = 1. + + @pytest.mark.skipif(IS_WASM, reason="no threading") + def test_structured_advanced_indexing(self): + # Test that copyswap(n) used by integer array indexing is threadsafe + # for structured datatypes, see gh-15387. This test can behave randomly. + from concurrent.futures import ThreadPoolExecutor + + # Create a deeply nested dtype to make a failure more likely: + dt = np.dtype([("", "f8")]) + dt = np.dtype([("", dt)] * 2) + dt = np.dtype([("", dt)] * 2) + # The array should be large enough to likely run into threading issues + arr = np.random.uniform(size=(6000, 8)).view(dt)[:, 0] + + rng = np.random.default_rng() + def func(arr): + indx = rng.integers(0, len(arr), size=6000, dtype=np.intp) + arr[indx] + + tpe = ThreadPoolExecutor(max_workers=8) + futures = [tpe.submit(func, arr) for _ in range(10)] + for f in futures: + f.result() + + assert arr.dtype is dt + + def test_nontuple_ndindex(self): + a = np.arange(25).reshape((5, 5)) + assert_equal(a[[0, 1]], np.array([a[0], a[1]])) + assert_equal(a[[0, 1], [0, 1]], np.array([0, 6])) + assert_raises(IndexError, a.__getitem__, [slice(None)]) + + +class TestFieldIndexing: + def test_scalar_return_type(self): + # Field access on an array should return an array, even if it + # is 0-d. + a = np.zeros((), [('a','f8')]) + assert_(isinstance(a['a'], np.ndarray)) + assert_(isinstance(a[['a']], np.ndarray)) + + +class TestBroadcastedAssignments: + def assign(self, a, ind, val): + a[ind] = val + return a + + def test_prepending_ones(self): + a = np.zeros((3, 2)) + + a[...] = np.ones((1, 3, 2)) + # Fancy with subspace with and without transpose + a[[0, 1, 2], :] = np.ones((1, 3, 2)) + a[:, [0, 1]] = np.ones((1, 3, 2)) + # Fancy without subspace (with broadcasting) + a[[[0], [1], [2]], [0, 1]] = np.ones((1, 3, 2)) + + def test_prepend_not_one(self): + assign = self.assign + s_ = np.s_ + a = np.zeros(5) + + # Too large and not only ones. + assert_raises(ValueError, assign, a, s_[...], np.ones((2, 1))) + assert_raises(ValueError, assign, a, s_[[1, 2, 3],], np.ones((2, 1))) + assert_raises(ValueError, assign, a, s_[[[1], [2]],], np.ones((2,2,1))) + + def test_simple_broadcasting_errors(self): + assign = self.assign + s_ = np.s_ + a = np.zeros((5, 1)) + + assert_raises(ValueError, assign, a, s_[...], np.zeros((5, 2))) + assert_raises(ValueError, assign, a, s_[...], np.zeros((5, 0))) + assert_raises(ValueError, assign, a, s_[:, [0]], np.zeros((5, 2))) + assert_raises(ValueError, assign, a, s_[:, [0]], np.zeros((5, 0))) + assert_raises(ValueError, assign, a, s_[[0], :], np.zeros((2, 1))) + + @pytest.mark.parametrize("index", [ + (..., [1, 2], slice(None)), + ([0, 1], ..., 0), + (..., [1, 2], [1, 2])]) + def test_broadcast_error_reports_correct_shape(self, index): + values = np.zeros((100, 100)) # will never broadcast below + + arr = np.zeros((3, 4, 5, 6, 7)) + # We currently report without any spaces (could be changed) + shape_str = str(arr[index].shape).replace(" ", "") + + with pytest.raises(ValueError) as e: + arr[index] = values + + assert str(e.value).endswith(shape_str) + + def test_index_is_larger(self): + # Simple case of fancy index broadcasting of the index. + a = np.zeros((5, 5)) + a[[[0], [1], [2]], [0, 1, 2]] = [2, 3, 4] + + assert_((a[:3, :3] == [2, 3, 4]).all()) + + def test_broadcast_subspace(self): + a = np.zeros((100, 100)) + v = np.arange(100)[:,None] + b = np.arange(100)[::-1] + a[b] = v + assert_((a[::-1] == v).all()) + + +class TestSubclasses: + def test_basic(self): + # Test that indexing in various ways produces SubClass instances, + # and that the base is set up correctly: the original subclass + # instance for views, and a new ndarray for advanced/boolean indexing + # where a copy was made (latter a regression test for gh-11983). + class SubClass(np.ndarray): + pass + + a = np.arange(5) + s = a.view(SubClass) + s_slice = s[:3] + assert_(type(s_slice) is SubClass) + assert_(s_slice.base is s) + assert_array_equal(s_slice, a[:3]) + + s_fancy = s[[0, 1, 2]] + assert_(type(s_fancy) is SubClass) + assert_(s_fancy.base is not s) + assert_(type(s_fancy.base) is np.ndarray) + assert_array_equal(s_fancy, a[[0, 1, 2]]) + assert_array_equal(s_fancy.base, a[[0, 1, 2]]) + + s_bool = s[s > 0] + assert_(type(s_bool) is SubClass) + assert_(s_bool.base is not s) + assert_(type(s_bool.base) is np.ndarray) + assert_array_equal(s_bool, a[a > 0]) + assert_array_equal(s_bool.base, a[a > 0]) + + def test_fancy_on_read_only(self): + # Test that fancy indexing on read-only SubClass does not make a + # read-only copy (gh-14132) + class SubClass(np.ndarray): + pass + + a = np.arange(5) + s = a.view(SubClass) + s.flags.writeable = False + s_fancy = s[[0, 1, 2]] + assert_(s_fancy.flags.writeable) + + + def test_finalize_gets_full_info(self): + # Array finalize should be called on the filled array. + class SubClass(np.ndarray): + def __array_finalize__(self, old): + self.finalize_status = np.array(self) + self.old = old + + s = np.arange(10).view(SubClass) + new_s = s[:3] + assert_array_equal(new_s.finalize_status, new_s) + assert_array_equal(new_s.old, s) + + new_s = s[[0,1,2,3]] + assert_array_equal(new_s.finalize_status, new_s) + assert_array_equal(new_s.old, s) + + new_s = s[s > 0] + assert_array_equal(new_s.finalize_status, new_s) + assert_array_equal(new_s.old, s) + + +class TestFancyIndexingCast: + def test_boolean_index_cast_assign(self): + # Setup the boolean index and float arrays. + shape = (8, 63) + bool_index = np.zeros(shape).astype(bool) + bool_index[0, 1] = True + zero_array = np.zeros(shape) + + # Assigning float is fine. + zero_array[bool_index] = np.array([1]) + assert_equal(zero_array[0, 1], 1) + + # Fancy indexing works, although we get a cast warning. + assert_warns(ComplexWarning, + zero_array.__setitem__, ([0], [1]), np.array([2 + 1j])) + assert_equal(zero_array[0, 1], 2) # No complex part + + # Cast complex to float, throwing away the imaginary portion. + assert_warns(ComplexWarning, + zero_array.__setitem__, bool_index, np.array([1j])) + assert_equal(zero_array[0, 1], 0) + +class TestFancyIndexingEquivalence: + def test_object_assign(self): + # Check that the field and object special case using copyto is active. + # The right hand side cannot be converted to an array here. + a = np.arange(5, dtype=object) + b = a.copy() + a[:3] = [1, (1,2), 3] + b[[0, 1, 2]] = [1, (1,2), 3] + assert_array_equal(a, b) + + # test same for subspace fancy indexing + b = np.arange(5, dtype=object)[None, :] + b[[0], :3] = [[1, (1,2), 3]] + assert_array_equal(a, b[0]) + + # Check that swapping of axes works. + # There was a bug that made the later assignment throw a ValueError + # do to an incorrectly transposed temporary right hand side (gh-5714) + b = b.T + b[:3, [0]] = [[1], [(1,2)], [3]] + assert_array_equal(a, b[:, 0]) + + # Another test for the memory order of the subspace + arr = np.ones((3, 4, 5), dtype=object) + # Equivalent slicing assignment for comparison + cmp_arr = arr.copy() + cmp_arr[:1, ...] = [[[1], [2], [3], [4]]] + arr[[0], ...] = [[[1], [2], [3], [4]]] + assert_array_equal(arr, cmp_arr) + arr = arr.copy('F') + arr[[0], ...] = [[[1], [2], [3], [4]]] + assert_array_equal(arr, cmp_arr) + + def test_cast_equivalence(self): + # Yes, normal slicing uses unsafe casting. + a = np.arange(5) + b = a.copy() + + a[:3] = np.array(['2', '-3', '-1']) + b[[0, 2, 1]] = np.array(['2', '-1', '-3']) + assert_array_equal(a, b) + + # test the same for subspace fancy indexing + b = np.arange(5)[None, :] + b[[0], :3] = np.array([['2', '-3', '-1']]) + assert_array_equal(a, b[0]) + + +class TestMultiIndexingAutomated: + """ + These tests use code to mimic the C-Code indexing for selection. + + NOTE: + + * This still lacks tests for complex item setting. + * If you change behavior of indexing, you might want to modify + these tests to try more combinations. + * Behavior was written to match numpy version 1.8. (though a + first version matched 1.7.) + * Only tuple indices are supported by the mimicking code. + (and tested as of writing this) + * Error types should match most of the time as long as there + is only one error. For multiple errors, what gets raised + will usually not be the same one. They are *not* tested. + + Update 2016-11-30: It is probably not worth maintaining this test + indefinitely and it can be dropped if maintenance becomes a burden. + + """ + + def setup_method(self): + self.a = np.arange(np.prod([3, 1, 5, 6])).reshape(3, 1, 5, 6) + self.b = np.empty((3, 0, 5, 6)) + self.complex_indices = ['skip', Ellipsis, + 0, + # Boolean indices, up to 3-d for some special cases of eating up + # dimensions, also need to test all False + np.array([True, False, False]), + np.array([[True, False], [False, True]]), + np.array([[[False, False], [False, False]]]), + # Some slices: + slice(-5, 5, 2), + slice(1, 1, 100), + slice(4, -1, -2), + slice(None, None, -3), + # Some Fancy indexes: + np.empty((0, 1, 1), dtype=np.intp), # empty and can be broadcast + np.array([0, 1, -2]), + np.array([[2], [0], [1]]), + np.array([[0, -1], [0, 1]], dtype=np.dtype('intp').newbyteorder()), + np.array([2, -1], dtype=np.int8), + np.zeros([1]*31, dtype=int), # trigger too large array. + np.array([0., 1.])] # invalid datatype + # Some simpler indices that still cover a bit more + self.simple_indices = [Ellipsis, None, -1, [1], np.array([True]), + 'skip'] + # Very simple ones to fill the rest: + self.fill_indices = [slice(None, None), 0] + + def _get_multi_index(self, arr, indices): + """Mimic multi dimensional indexing. + + Parameters + ---------- + arr : ndarray + Array to be indexed. + indices : tuple of index objects + + Returns + ------- + out : ndarray + An array equivalent to the indexing operation (but always a copy). + `arr[indices]` should be identical. + no_copy : bool + Whether the indexing operation requires a copy. If this is `True`, + `np.may_share_memory(arr, arr[indices])` should be `True` (with + some exceptions for scalars and possibly 0-d arrays). + + Notes + ----- + While the function may mostly match the errors of normal indexing this + is generally not the case. + """ + in_indices = list(indices) + indices = [] + # if False, this is a fancy or boolean index + no_copy = True + # number of fancy/scalar indexes that are not consecutive + num_fancy = 0 + # number of dimensions indexed by a "fancy" index + fancy_dim = 0 + # NOTE: This is a funny twist (and probably OK to change). + # The boolean array has illegal indexes, but this is + # allowed if the broadcast fancy-indices are 0-sized. + # This variable is to catch that case. + error_unless_broadcast_to_empty = False + + # We need to handle Ellipsis and make arrays from indices, also + # check if this is fancy indexing (set no_copy). + ndim = 0 + ellipsis_pos = None # define here mostly to replace all but first. + for i, indx in enumerate(in_indices): + if indx is None: + continue + if isinstance(indx, np.ndarray) and indx.dtype == bool: + no_copy = False + if indx.ndim == 0: + raise IndexError + # boolean indices can have higher dimensions + ndim += indx.ndim + fancy_dim += indx.ndim + continue + if indx is Ellipsis: + if ellipsis_pos is None: + ellipsis_pos = i + continue # do not increment ndim counter + raise IndexError + if isinstance(indx, slice): + ndim += 1 + continue + if not isinstance(indx, np.ndarray): + # This could be open for changes in numpy. + # numpy should maybe raise an error if casting to intp + # is not safe. It rejects np.array([1., 2.]) but not + # [1., 2.] as index (same for ie. np.take). + # (Note the importance of empty lists if changing this here) + try: + indx = np.array(indx, dtype=np.intp) + except ValueError: + raise IndexError + in_indices[i] = indx + elif indx.dtype.kind != 'b' and indx.dtype.kind != 'i': + raise IndexError('arrays used as indices must be of ' + 'integer (or boolean) type') + if indx.ndim != 0: + no_copy = False + ndim += 1 + fancy_dim += 1 + + if arr.ndim - ndim < 0: + # we can't take more dimensions then we have, not even for 0-d + # arrays. since a[()] makes sense, but not a[(),]. We will + # raise an error later on, unless a broadcasting error occurs + # first. + raise IndexError + + if ndim == 0 and None not in in_indices: + # Well we have no indexes or one Ellipsis. This is legal. + return arr.copy(), no_copy + + if ellipsis_pos is not None: + in_indices[ellipsis_pos:ellipsis_pos+1] = ([slice(None, None)] * + (arr.ndim - ndim)) + + for ax, indx in enumerate(in_indices): + if isinstance(indx, slice): + # convert to an index array + indx = np.arange(*indx.indices(arr.shape[ax])) + indices.append(['s', indx]) + continue + elif indx is None: + # this is like taking a slice with one element from a new axis: + indices.append(['n', np.array([0], dtype=np.intp)]) + arr = arr.reshape(arr.shape[:ax] + (1,) + arr.shape[ax:]) + continue + if isinstance(indx, np.ndarray) and indx.dtype == bool: + if indx.shape != arr.shape[ax:ax+indx.ndim]: + raise IndexError + + try: + flat_indx = np.ravel_multi_index(np.nonzero(indx), + arr.shape[ax:ax+indx.ndim], mode='raise') + except Exception: + error_unless_broadcast_to_empty = True + # fill with 0s instead, and raise error later + flat_indx = np.array([0]*indx.sum(), dtype=np.intp) + # concatenate axis into a single one: + if indx.ndim != 0: + arr = arr.reshape(arr.shape[:ax] + + (np.prod(arr.shape[ax:ax+indx.ndim]),) + + arr.shape[ax+indx.ndim:]) + indx = flat_indx + else: + # This could be changed, a 0-d boolean index can + # make sense (even outside the 0-d indexed array case) + # Note that originally this is could be interpreted as + # integer in the full integer special case. + raise IndexError + else: + # If the index is a singleton, the bounds check is done + # before the broadcasting. This used to be different in <1.9 + if indx.ndim == 0: + if indx >= arr.shape[ax] or indx < -arr.shape[ax]: + raise IndexError + if indx.ndim == 0: + # The index is a scalar. This used to be two fold, but if + # fancy indexing was active, the check was done later, + # possibly after broadcasting it away (1.7. or earlier). + # Now it is always done. + if indx >= arr.shape[ax] or indx < - arr.shape[ax]: + raise IndexError + if (len(indices) > 0 and + indices[-1][0] == 'f' and + ax != ellipsis_pos): + # NOTE: There could still have been a 0-sized Ellipsis + # between them. Checked that with ellipsis_pos. + indices[-1].append(indx) + else: + # We have a fancy index that is not after an existing one. + # NOTE: A 0-d array triggers this as well, while one may + # expect it to not trigger it, since a scalar would not be + # considered fancy indexing. + num_fancy += 1 + indices.append(['f', indx]) + + if num_fancy > 1 and not no_copy: + # We have to flush the fancy indexes left + new_indices = indices[:] + axes = list(range(arr.ndim)) + fancy_axes = [] + new_indices.insert(0, ['f']) + ni = 0 + ai = 0 + for indx in indices: + ni += 1 + if indx[0] == 'f': + new_indices[0].extend(indx[1:]) + del new_indices[ni] + ni -= 1 + for ax in range(ai, ai + len(indx[1:])): + fancy_axes.append(ax) + axes.remove(ax) + ai += len(indx) - 1 # axis we are at + indices = new_indices + # and now we need to transpose arr: + arr = arr.transpose(*(fancy_axes + axes)) + + # We only have one 'f' index now and arr is transposed accordingly. + # Now handle newaxis by reshaping... + ax = 0 + for indx in indices: + if indx[0] == 'f': + if len(indx) == 1: + continue + # First of all, reshape arr to combine fancy axes into one: + orig_shape = arr.shape + orig_slice = orig_shape[ax:ax + len(indx[1:])] + arr = arr.reshape(arr.shape[:ax] + + (np.prod(orig_slice).astype(int),) + + arr.shape[ax + len(indx[1:]):]) + + # Check if broadcasting works + res = np.broadcast(*indx[1:]) + # unfortunately the indices might be out of bounds. So check + # that first, and use mode='wrap' then. However only if + # there are any indices... + if res.size != 0: + if error_unless_broadcast_to_empty: + raise IndexError + for _indx, _size in zip(indx[1:], orig_slice): + if _indx.size == 0: + continue + if np.any(_indx >= _size) or np.any(_indx < -_size): + raise IndexError + if len(indx[1:]) == len(orig_slice): + if np.prod(orig_slice) == 0: + # Work around for a crash or IndexError with 'wrap' + # in some 0-sized cases. + try: + mi = np.ravel_multi_index(indx[1:], orig_slice, + mode='raise') + except Exception: + # This happens with 0-sized orig_slice (sometimes?) + # here it is a ValueError, but indexing gives a: + raise IndexError('invalid index into 0-sized') + else: + mi = np.ravel_multi_index(indx[1:], orig_slice, + mode='wrap') + else: + # Maybe never happens... + raise ValueError + arr = arr.take(mi.ravel(), axis=ax) + try: + arr = arr.reshape(arr.shape[:ax] + + mi.shape + + arr.shape[ax+1:]) + except ValueError: + # too many dimensions, probably + raise IndexError + ax += mi.ndim + continue + + # If we are here, we have a 1D array for take: + arr = arr.take(indx[1], axis=ax) + ax += 1 + + return arr, no_copy + + def _check_multi_index(self, arr, index): + """Check a multi index item getting and simple setting. + + Parameters + ---------- + arr : ndarray + Array to be indexed, must be a reshaped arange. + index : tuple of indexing objects + Index being tested. + """ + # Test item getting + try: + mimic_get, no_copy = self._get_multi_index(arr, index) + except Exception as e: + if HAS_REFCOUNT: + prev_refcount = sys.getrefcount(arr) + assert_raises(type(e), arr.__getitem__, index) + assert_raises(type(e), arr.__setitem__, index, 0) + if HAS_REFCOUNT: + assert_equal(prev_refcount, sys.getrefcount(arr)) + return + + self._compare_index_result(arr, index, mimic_get, no_copy) + + def _check_single_index(self, arr, index): + """Check a single index item getting and simple setting. + + Parameters + ---------- + arr : ndarray + Array to be indexed, must be an arange. + index : indexing object + Index being tested. Must be a single index and not a tuple + of indexing objects (see also `_check_multi_index`). + """ + try: + mimic_get, no_copy = self._get_multi_index(arr, (index,)) + except Exception as e: + if HAS_REFCOUNT: + prev_refcount = sys.getrefcount(arr) + assert_raises(type(e), arr.__getitem__, index) + assert_raises(type(e), arr.__setitem__, index, 0) + if HAS_REFCOUNT: + assert_equal(prev_refcount, sys.getrefcount(arr)) + return + + self._compare_index_result(arr, index, mimic_get, no_copy) + + def _compare_index_result(self, arr, index, mimic_get, no_copy): + """Compare mimicked result to indexing result. + """ + arr = arr.copy() + indexed_arr = arr[index] + assert_array_equal(indexed_arr, mimic_get) + # Check if we got a view, unless its a 0-sized or 0-d array. + # (then its not a view, and that does not matter) + if indexed_arr.size != 0 and indexed_arr.ndim != 0: + assert_(np.may_share_memory(indexed_arr, arr) == no_copy) + # Check reference count of the original array + if HAS_REFCOUNT: + if no_copy: + # refcount increases by one: + assert_equal(sys.getrefcount(arr), 3) + else: + assert_equal(sys.getrefcount(arr), 2) + + # Test non-broadcast setitem: + b = arr.copy() + b[index] = mimic_get + 1000 + if b.size == 0: + return # nothing to compare here... + if no_copy and indexed_arr.ndim != 0: + # change indexed_arr in-place to manipulate original: + indexed_arr += 1000 + assert_array_equal(arr, b) + return + # Use the fact that the array is originally an arange: + arr.flat[indexed_arr.ravel()] += 1000 + assert_array_equal(arr, b) + + def test_boolean(self): + a = np.array(5) + assert_equal(a[np.array(True)], 5) + a[np.array(True)] = 1 + assert_equal(a, 1) + # NOTE: This is different from normal broadcasting, as + # arr[boolean_array] works like in a multi index. Which means + # it is aligned to the left. This is probably correct for + # consistency with arr[boolean_array,] also no broadcasting + # is done at all + self._check_multi_index( + self.a, (np.zeros_like(self.a, dtype=bool),)) + self._check_multi_index( + self.a, (np.zeros_like(self.a, dtype=bool)[..., 0],)) + self._check_multi_index( + self.a, (np.zeros_like(self.a, dtype=bool)[None, ...],)) + + def test_multidim(self): + # Automatically test combinations with complex indexes on 2nd (or 1st) + # spot and the simple ones in one other spot. + with warnings.catch_warnings(): + # This is so that np.array(True) is not accepted in a full integer + # index, when running the file separately. + warnings.filterwarnings('error', '', DeprecationWarning) + warnings.filterwarnings('error', '', VisibleDeprecationWarning) + + def isskip(idx): + return isinstance(idx, str) and idx == "skip" + + for simple_pos in [0, 2, 3]: + tocheck = [self.fill_indices, self.complex_indices, + self.fill_indices, self.fill_indices] + tocheck[simple_pos] = self.simple_indices + for index in product(*tocheck): + index = tuple(i for i in index if not isskip(i)) + self._check_multi_index(self.a, index) + self._check_multi_index(self.b, index) + + # Check very simple item getting: + self._check_multi_index(self.a, (0, 0, 0, 0)) + self._check_multi_index(self.b, (0, 0, 0, 0)) + # Also check (simple cases of) too many indices: + assert_raises(IndexError, self.a.__getitem__, (0, 0, 0, 0, 0)) + assert_raises(IndexError, self.a.__setitem__, (0, 0, 0, 0, 0), 0) + assert_raises(IndexError, self.a.__getitem__, (0, 0, [1], 0, 0)) + assert_raises(IndexError, self.a.__setitem__, (0, 0, [1], 0, 0), 0) + + def test_1d(self): + a = np.arange(10) + for index in self.complex_indices: + self._check_single_index(a, index) + +class TestFloatNonIntegerArgument: + """ + These test that ``TypeError`` is raised when you try to use + non-integers as arguments to for indexing and slicing e.g. ``a[0.0:5]`` + and ``a[0.5]``, or other functions like ``array.reshape(1., -1)``. + + """ + def test_valid_indexing(self): + # These should raise no errors. + a = np.array([[[5]]]) + + a[np.array([0])] + a[[0, 0]] + a[:, [0, 0]] + a[:, 0,:] + a[:,:,:] + + def test_valid_slicing(self): + # These should raise no errors. + a = np.array([[[5]]]) + + a[::] + a[0:] + a[:2] + a[0:2] + a[::2] + a[1::2] + a[:2:2] + a[1:2:2] + + def test_non_integer_argument_errors(self): + a = np.array([[5]]) + + assert_raises(TypeError, np.reshape, a, (1., 1., -1)) + assert_raises(TypeError, np.reshape, a, (np.array(1.), -1)) + assert_raises(TypeError, np.take, a, [0], 1.) + assert_raises(TypeError, np.take, a, [0], np.float64(1.)) + + def test_non_integer_sequence_multiplication(self): + # NumPy scalar sequence multiply should not work with non-integers + def mult(a, b): + return a * b + + assert_raises(TypeError, mult, [1], np.float64(3)) + # following should be OK + mult([1], np.int_(3)) + + def test_reduce_axis_float_index(self): + d = np.zeros((3,3,3)) + assert_raises(TypeError, np.min, d, 0.5) + assert_raises(TypeError, np.min, d, (0.5, 1)) + assert_raises(TypeError, np.min, d, (1, 2.2)) + assert_raises(TypeError, np.min, d, (.2, 1.2)) + + +class TestBooleanIndexing: + # Using a boolean as integer argument/indexing is an error. + def test_bool_as_int_argument_errors(self): + a = np.array([[[1]]]) + + assert_raises(TypeError, np.reshape, a, (True, -1)) + assert_raises(TypeError, np.reshape, a, (np.bool(True), -1)) + # Note that operator.index(np.array(True)) does not work, a boolean + # array is thus also deprecated, but not with the same message: + assert_raises(TypeError, operator.index, np.array(True)) + assert_warns(DeprecationWarning, operator.index, np.True_) + assert_raises(TypeError, np.take, args=(a, [0], False)) + + def test_boolean_indexing_weirdness(self): + # Weird boolean indexing things + a = np.ones((2, 3, 4)) + assert a[False, True, ...].shape == (0, 2, 3, 4) + assert a[True, [0, 1], True, True, [1], [[2]]].shape == (1, 2) + assert_raises(IndexError, lambda: a[False, [0, 1], ...]) + + def test_boolean_indexing_fast_path(self): + # These used to either give the wrong error, or incorrectly give no + # error. + a = np.ones((3, 3)) + + # This used to incorrectly work (and give an array of shape (0,)) + idx1 = np.array([[False]*9]) + assert_raises_regex(IndexError, + "boolean index did not match indexed array along axis 0; " + "size of axis is 3 but size of corresponding boolean axis is 1", + lambda: a[idx1]) + + # This used to incorrectly give a ValueError: operands could not be broadcast together + idx2 = np.array([[False]*8 + [True]]) + assert_raises_regex(IndexError, + "boolean index did not match indexed array along axis 0; " + "size of axis is 3 but size of corresponding boolean axis is 1", + lambda: a[idx2]) + + # This is the same as it used to be. The above two should work like this. + idx3 = np.array([[False]*10]) + assert_raises_regex(IndexError, + "boolean index did not match indexed array along axis 0; " + "size of axis is 3 but size of corresponding boolean axis is 1", + lambda: a[idx3]) + + # This used to give ValueError: non-broadcastable operand + a = np.ones((1, 1, 2)) + idx = np.array([[[True], [False]]]) + assert_raises_regex(IndexError, + "boolean index did not match indexed array along axis 1; " + "size of axis is 1 but size of corresponding boolean axis is 2", + lambda: a[idx]) + + +class TestArrayToIndexDeprecation: + """Creating an index from array not 0-D is an error. + + """ + def test_array_to_index_error(self): + # so no exception is expected. The raising is effectively tested above. + a = np.array([[[1]]]) + + assert_raises(TypeError, operator.index, np.array([1])) + assert_raises(TypeError, np.reshape, a, (a, -1)) + assert_raises(TypeError, np.take, a, [0], a) + + +class TestNonIntegerArrayLike: + """Tests that array_likes only valid if can safely cast to integer. + + For instance, lists give IndexError when they cannot be safely cast to + an integer. + + """ + def test_basic(self): + a = np.arange(10) + + assert_raises(IndexError, a.__getitem__, [0.5, 1.5]) + assert_raises(IndexError, a.__getitem__, (['1', '2'],)) + + # The following is valid + a.__getitem__([]) + + +class TestMultipleEllipsisError: + """An index can only have a single ellipsis. + + """ + def test_basic(self): + a = np.arange(10) + assert_raises(IndexError, lambda: a[..., ...]) + assert_raises(IndexError, a.__getitem__, ((Ellipsis,) * 2,)) + assert_raises(IndexError, a.__getitem__, ((Ellipsis,) * 3,)) + + +class TestCApiAccess: + def test_getitem(self): + subscript = functools.partial(array_indexing, 0) + + # 0-d arrays don't work: + assert_raises(IndexError, subscript, np.ones(()), 0) + # Out of bound values: + assert_raises(IndexError, subscript, np.ones(10), 11) + assert_raises(IndexError, subscript, np.ones(10), -11) + assert_raises(IndexError, subscript, np.ones((10, 10)), 11) + assert_raises(IndexError, subscript, np.ones((10, 10)), -11) + + a = np.arange(10) + assert_array_equal(a[4], subscript(a, 4)) + a = a.reshape(5, 2) + assert_array_equal(a[-4], subscript(a, -4)) + + def test_setitem(self): + assign = functools.partial(array_indexing, 1) + + # Deletion is impossible: + assert_raises(ValueError, assign, np.ones(10), 0) + # 0-d arrays don't work: + assert_raises(IndexError, assign, np.ones(()), 0, 0) + # Out of bound values: + assert_raises(IndexError, assign, np.ones(10), 11, 0) + assert_raises(IndexError, assign, np.ones(10), -11, 0) + assert_raises(IndexError, assign, np.ones((10, 10)), 11, 0) + assert_raises(IndexError, assign, np.ones((10, 10)), -11, 0) + + a = np.arange(10) + assign(a, 4, 10) + assert_(a[4] == 10) + + a = a.reshape(5, 2) + assign(a, 4, 10) + assert_array_equal(a[-1], [10, 10]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_item_selection.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_item_selection.py new file mode 100644 index 0000000000000000000000000000000000000000..5660ef583edb52824494efb4d444d10ad2be5b6a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_item_selection.py @@ -0,0 +1,165 @@ +import sys + +import pytest + +import numpy as np +from numpy.testing import ( + assert_, assert_raises, assert_array_equal, HAS_REFCOUNT + ) + + +class TestTake: + def test_simple(self): + a = [[1, 2], [3, 4]] + a_str = [[b'1', b'2'], [b'3', b'4']] + modes = ['raise', 'wrap', 'clip'] + indices = [-1, 4] + index_arrays = [np.empty(0, dtype=np.intp), + np.empty(tuple(), dtype=np.intp), + np.empty((1, 1), dtype=np.intp)] + real_indices = {'raise': {-1: 1, 4: IndexError}, + 'wrap': {-1: 1, 4: 0}, + 'clip': {-1: 0, 4: 1}} + # Currently all types but object, use the same function generation. + # So it should not be necessary to test all. However test also a non + # refcounted struct on top of object, which has a size that hits the + # default (non-specialized) path. + types = int, object, np.dtype([('', 'i2', 3)]) + for t in types: + # ta works, even if the array may be odd if buffer interface is used + ta = np.array(a if np.issubdtype(t, np.number) else a_str, dtype=t) + tresult = list(ta.T.copy()) + for index_array in index_arrays: + if index_array.size != 0: + tresult[0].shape = (2,) + index_array.shape + tresult[1].shape = (2,) + index_array.shape + for mode in modes: + for index in indices: + real_index = real_indices[mode][index] + if real_index is IndexError and index_array.size != 0: + index_array.put(0, index) + assert_raises(IndexError, ta.take, index_array, + mode=mode, axis=1) + elif index_array.size != 0: + index_array.put(0, index) + res = ta.take(index_array, mode=mode, axis=1) + assert_array_equal(res, tresult[real_index]) + else: + res = ta.take(index_array, mode=mode, axis=1) + assert_(res.shape == (2,) + index_array.shape) + + def test_refcounting(self): + objects = [object() for i in range(10)] + for mode in ('raise', 'clip', 'wrap'): + a = np.array(objects) + b = np.array([2, 2, 4, 5, 3, 5]) + a.take(b, out=a[:6], mode=mode) + del a + if HAS_REFCOUNT: + assert_(all(sys.getrefcount(o) == 3 for o in objects)) + # not contiguous, example: + a = np.array(objects * 2)[::2] + a.take(b, out=a[:6], mode=mode) + del a + if HAS_REFCOUNT: + assert_(all(sys.getrefcount(o) == 3 for o in objects)) + + def test_unicode_mode(self): + d = np.arange(10) + k = b'\xc3\xa4'.decode("UTF8") + assert_raises(ValueError, d.take, 5, mode=k) + + def test_empty_partition(self): + # In reference to github issue #6530 + a_original = np.array([0, 2, 4, 6, 8, 10]) + a = a_original.copy() + + # An empty partition should be a successful no-op + a.partition(np.array([], dtype=np.int16)) + + assert_array_equal(a, a_original) + + def test_empty_argpartition(self): + # In reference to github issue #6530 + a = np.array([0, 2, 4, 6, 8, 10]) + a = a.argpartition(np.array([], dtype=np.int16)) + + b = np.array([0, 1, 2, 3, 4, 5]) + assert_array_equal(a, b) + + +class TestPutMask: + @pytest.mark.parametrize("dtype", list(np.typecodes["All"]) + ["i,O"]) + def test_simple(self, dtype): + if dtype.lower() == "m": + dtype += "8[ns]" + + # putmask is weird and doesn't care about value length (even shorter) + vals = np.arange(1001).astype(dtype=dtype) + + mask = np.random.randint(2, size=1000).astype(bool) + # Use vals.dtype in case of flexible dtype (i.e. string) + arr = np.zeros(1000, dtype=vals.dtype) + zeros = arr.copy() + + np.putmask(arr, mask, vals) + assert_array_equal(arr[mask], vals[:len(mask)][mask]) + assert_array_equal(arr[~mask], zeros[~mask]) + + @pytest.mark.parametrize("dtype", list(np.typecodes["All"])[1:] + ["i,O"]) + @pytest.mark.parametrize("mode", ["raise", "wrap", "clip"]) + def test_empty(self, dtype, mode): + arr = np.zeros(1000, dtype=dtype) + arr_copy = arr.copy() + mask = np.random.randint(2, size=1000).astype(bool) + + # Allowing empty values like this is weird... + np.put(arr, mask, []) + assert_array_equal(arr, arr_copy) + + +class TestPut: + @pytest.mark.parametrize("dtype", list(np.typecodes["All"])[1:] + ["i,O"]) + @pytest.mark.parametrize("mode", ["raise", "wrap", "clip"]) + def test_simple(self, dtype, mode): + if dtype.lower() == "m": + dtype += "8[ns]" + + # put is weird and doesn't care about value length (even shorter) + vals = np.arange(1001).astype(dtype=dtype) + + # Use vals.dtype in case of flexible dtype (i.e. string) + arr = np.zeros(1000, dtype=vals.dtype) + zeros = arr.copy() + + if mode == "clip": + # Special because 0 and -1 value are "reserved" for clip test + indx = np.random.permutation(len(arr) - 2)[:-500] + 1 + + indx[-1] = 0 + indx[-2] = len(arr) - 1 + indx_put = indx.copy() + indx_put[-1] = -1389 + indx_put[-2] = 1321 + else: + # Avoid duplicates (for simplicity) and fill half only + indx = np.random.permutation(len(arr) - 3)[:-500] + indx_put = indx + if mode == "wrap": + indx_put = indx_put + len(arr) + + np.put(arr, indx_put, vals, mode=mode) + assert_array_equal(arr[indx], vals[:len(indx)]) + untouched = np.ones(len(arr), dtype=bool) + untouched[indx] = False + assert_array_equal(arr[untouched], zeros[:untouched.sum()]) + + @pytest.mark.parametrize("dtype", list(np.typecodes["All"])[1:] + ["i,O"]) + @pytest.mark.parametrize("mode", ["raise", "wrap", "clip"]) + def test_empty(self, dtype, mode): + arr = np.zeros(1000, dtype=dtype) + arr_copy = arr.copy() + + # Allowing empty values like this is weird... + np.put(arr, [1, 2, 3], []) + assert_array_equal(arr, arr_copy) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_limited_api.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_limited_api.py new file mode 100644 index 0000000000000000000000000000000000000000..d476456fb6e1c4b73f923d0144245a2c1f838ec0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_limited_api.py @@ -0,0 +1,100 @@ +import os +import subprocess +import sys +import sysconfig +import pytest + +from numpy.testing import IS_WASM, IS_PYPY, NOGIL_BUILD, IS_EDITABLE + +# This import is copied from random.tests.test_extending +try: + import cython + from Cython.Compiler.Version import version as cython_version +except ImportError: + cython = None +else: + from numpy._utils import _pep440 + + # Note: keep in sync with the one in pyproject.toml + required_version = "3.0.6" + if _pep440.parse(cython_version) < _pep440.Version(required_version): + # too old or wrong cython, skip the test + cython = None + +pytestmark = pytest.mark.skipif(cython is None, reason="requires cython") + + +if IS_EDITABLE: + pytest.skip( + "Editable install doesn't support tests with a compile step", + allow_module_level=True + ) + + +@pytest.fixture(scope='module') +def install_temp(tmpdir_factory): + # Based in part on test_cython from random.tests.test_extending + if IS_WASM: + pytest.skip("No subprocess") + + srcdir = os.path.join(os.path.dirname(__file__), 'examples', 'limited_api') + build_dir = tmpdir_factory.mktemp("limited_api") / "build" + os.makedirs(build_dir, exist_ok=True) + # Ensure we use the correct Python interpreter even when `meson` is + # installed in a different Python environment (see gh-24956) + native_file = str(build_dir / 'interpreter-native-file.ini') + with open(native_file, 'w') as f: + f.write("[binaries]\n") + f.write(f"python = '{sys.executable}'\n") + f.write(f"python3 = '{sys.executable}'") + + try: + subprocess.check_call(["meson", "--version"]) + except FileNotFoundError: + pytest.skip("No usable 'meson' found") + if sys.platform == "win32": + subprocess.check_call(["meson", "setup", + "--werror", + "--buildtype=release", + "--vsenv", "--native-file", native_file, + str(srcdir)], + cwd=build_dir, + ) + else: + subprocess.check_call(["meson", "setup", "--werror", + "--native-file", native_file, str(srcdir)], + cwd=build_dir + ) + try: + subprocess.check_call( + ["meson", "compile", "-vv"], cwd=build_dir) + except subprocess.CalledProcessError as p: + print(f"{p.stdout=}") + print(f"{p.stderr=}") + raise + + sys.path.append(str(build_dir)) + + + +@pytest.mark.skipif(IS_WASM, reason="Can't start subprocess") +@pytest.mark.xfail( + sysconfig.get_config_var("Py_DEBUG"), + reason=( + "Py_LIMITED_API is incompatible with Py_DEBUG, Py_TRACE_REFS, " + "and Py_REF_DEBUG" + ), +) +@pytest.mark.xfail( + NOGIL_BUILD, + reason="Py_GIL_DISABLED builds do not currently support the limited API", +) +@pytest.mark.skipif(IS_PYPY, reason="no support for limited API in PyPy") +def test_limited_api(install_temp): + """Test building a third-party C extension with the limited API + and building a cython extension with the limited API + """ + + import limited_api1 # Earliest (3.6) + import limited_api_latest # Latest version (current Python) + import limited_api2 # cython diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_longdouble.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_longdouble.py new file mode 100644 index 0000000000000000000000000000000000000000..a7ad5c9e57916976c395a083171236f70ce9d338 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_longdouble.py @@ -0,0 +1,395 @@ +import warnings +import platform +import pytest + +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_warns, assert_array_equal, + temppath, IS_MUSL + ) +from numpy._core.tests._locales import CommaDecimalPointLocale + + +LD_INFO = np.finfo(np.longdouble) +longdouble_longer_than_double = (LD_INFO.eps < np.finfo(np.double).eps) + + +_o = 1 + LD_INFO.eps +string_to_longdouble_inaccurate = (_o != np.longdouble(str(_o))) +del _o + + +def test_scalar_extraction(): + """Confirm that extracting a value doesn't convert to python float""" + o = 1 + LD_INFO.eps + a = np.array([o, o, o]) + assert_equal(a[1], o) + + +# Conversions string -> long double + +# 0.1 not exactly representable in base 2 floating point. +repr_precision = len(repr(np.longdouble(0.1))) +# +2 from macro block starting around line 842 in scalartypes.c.src. + + +@pytest.mark.skipif(IS_MUSL, + reason="test flaky on musllinux") +@pytest.mark.skipif(LD_INFO.precision + 2 >= repr_precision, + reason="repr precision not enough to show eps") +def test_str_roundtrip(): + # We will only see eps in repr if within printing precision. + o = 1 + LD_INFO.eps + assert_equal(np.longdouble(str(o)), o, "str was %s" % str(o)) + + +@pytest.mark.skipif(string_to_longdouble_inaccurate, reason="Need strtold_l") +def test_str_roundtrip_bytes(): + o = 1 + LD_INFO.eps + assert_equal(np.longdouble(str(o).encode("ascii")), o) + + +@pytest.mark.skipif(string_to_longdouble_inaccurate, reason="Need strtold_l") +@pytest.mark.parametrize("strtype", (np.str_, np.bytes_, str, bytes)) +def test_array_and_stringlike_roundtrip(strtype): + """ + Test that string representations of long-double roundtrip both + for array casting and scalar coercion, see also gh-15608. + """ + o = 1 + LD_INFO.eps + + if strtype in (np.bytes_, bytes): + o_str = strtype(str(o).encode("ascii")) + else: + o_str = strtype(str(o)) + + # Test that `o` is correctly coerced from the string-like + assert o == np.longdouble(o_str) + + # Test that arrays also roundtrip correctly: + o_strarr = np.asarray([o] * 3, dtype=strtype) + assert (o == o_strarr.astype(np.longdouble)).all() + + # And array coercion and casting to string give the same as scalar repr: + assert (o_strarr == o_str).all() + assert (np.asarray([o] * 3).astype(strtype) == o_str).all() + + +def test_bogus_string(): + assert_raises(ValueError, np.longdouble, "spam") + assert_raises(ValueError, np.longdouble, "1.0 flub") + + +@pytest.mark.skipif(string_to_longdouble_inaccurate, reason="Need strtold_l") +def test_fromstring(): + o = 1 + LD_INFO.eps + s = (" " + str(o))*5 + a = np.array([o]*5) + assert_equal(np.fromstring(s, sep=" ", dtype=np.longdouble), a, + err_msg="reading '%s'" % s) + + +def test_fromstring_complex(): + for ctype in ["complex", "cdouble"]: + # Check spacing between separator + assert_equal(np.fromstring("1, 2 , 3 ,4", sep=",", dtype=ctype), + np.array([1., 2., 3., 4.])) + # Real component not specified + assert_equal(np.fromstring("1j, -2j, 3j, 4e1j", sep=",", dtype=ctype), + np.array([1.j, -2.j, 3.j, 40.j])) + # Both components specified + assert_equal(np.fromstring("1+1j,2-2j, -3+3j, -4e1+4j", sep=",", dtype=ctype), + np.array([1. + 1.j, 2. - 2.j, - 3. + 3.j, - 40. + 4j])) + # Spaces at wrong places + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1+2 j,3", dtype=ctype, sep=","), + np.array([1.])) + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1+ 2j,3", dtype=ctype, sep=","), + np.array([1.])) + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1 +2j,3", dtype=ctype, sep=","), + np.array([1.])) + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1+j", dtype=ctype, sep=","), + np.array([1.])) + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1+", dtype=ctype, sep=","), + np.array([1.])) + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1j+1", dtype=ctype, sep=","), + np.array([1j])) + + +def test_fromstring_bogus(): + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1. 2. 3. flop 4.", dtype=float, sep=" "), + np.array([1., 2., 3.])) + + +def test_fromstring_empty(): + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("xxxxx", sep="x"), + np.array([])) + + +def test_fromstring_missing(): + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1xx3x4x5x6", sep="x"), + np.array([1])) + + +class TestFileBased: + + ldbl = 1 + LD_INFO.eps + tgt = np.array([ldbl]*5) + out = ''.join([str(t) + '\n' for t in tgt]) + + def test_fromfile_bogus(self): + with temppath() as path: + with open(path, 'w') as f: + f.write("1. 2. 3. flop 4.\n") + + with assert_warns(DeprecationWarning): + res = np.fromfile(path, dtype=float, sep=" ") + assert_equal(res, np.array([1., 2., 3.])) + + def test_fromfile_complex(self): + for ctype in ["complex", "cdouble"]: + # Check spacing between separator and only real component specified + with temppath() as path: + with open(path, 'w') as f: + f.write("1, 2 , 3 ,4\n") + + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1., 2., 3., 4.])) + + # Real component not specified + with temppath() as path: + with open(path, 'w') as f: + f.write("1j, -2j, 3j, 4e1j\n") + + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1.j, -2.j, 3.j, 40.j])) + + # Both components specified + with temppath() as path: + with open(path, 'w') as f: + f.write("1+1j,2-2j, -3+3j, -4e1+4j\n") + + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1. + 1.j, 2. - 2.j, - 3. + 3.j, - 40. + 4j])) + + # Spaces at wrong places + with temppath() as path: + with open(path, 'w') as f: + f.write("1+2 j,3\n") + + with assert_warns(DeprecationWarning): + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1.])) + + # Spaces at wrong places + with temppath() as path: + with open(path, 'w') as f: + f.write("1+ 2j,3\n") + + with assert_warns(DeprecationWarning): + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1.])) + + # Spaces at wrong places + with temppath() as path: + with open(path, 'w') as f: + f.write("1 +2j,3\n") + + with assert_warns(DeprecationWarning): + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1.])) + + # Spaces at wrong places + with temppath() as path: + with open(path, 'w') as f: + f.write("1+j\n") + + with assert_warns(DeprecationWarning): + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1.])) + + # Spaces at wrong places + with temppath() as path: + with open(path, 'w') as f: + f.write("1+\n") + + with assert_warns(DeprecationWarning): + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1.])) + + # Spaces at wrong places + with temppath() as path: + with open(path, 'w') as f: + f.write("1j+1\n") + + with assert_warns(DeprecationWarning): + res = np.fromfile(path, dtype=ctype, sep=",") + assert_equal(res, np.array([1.j])) + + + + @pytest.mark.skipif(string_to_longdouble_inaccurate, + reason="Need strtold_l") + def test_fromfile(self): + with temppath() as path: + with open(path, 'w') as f: + f.write(self.out) + res = np.fromfile(path, dtype=np.longdouble, sep="\n") + assert_equal(res, self.tgt) + + @pytest.mark.skipif(string_to_longdouble_inaccurate, + reason="Need strtold_l") + def test_genfromtxt(self): + with temppath() as path: + with open(path, 'w') as f: + f.write(self.out) + res = np.genfromtxt(path, dtype=np.longdouble) + assert_equal(res, self.tgt) + + @pytest.mark.skipif(string_to_longdouble_inaccurate, + reason="Need strtold_l") + def test_loadtxt(self): + with temppath() as path: + with open(path, 'w') as f: + f.write(self.out) + res = np.loadtxt(path, dtype=np.longdouble) + assert_equal(res, self.tgt) + + @pytest.mark.skipif(string_to_longdouble_inaccurate, + reason="Need strtold_l") + def test_tofile_roundtrip(self): + with temppath() as path: + self.tgt.tofile(path, sep=" ") + res = np.fromfile(path, dtype=np.longdouble, sep=" ") + assert_equal(res, self.tgt) + + +# Conversions long double -> string + + +def test_str_exact(): + o = 1 + LD_INFO.eps + assert_(str(o) != '1') + + +@pytest.mark.skipif(longdouble_longer_than_double, reason="BUG #2376") +@pytest.mark.skipif(string_to_longdouble_inaccurate, + reason="Need strtold_l") +def test_format(): + o = 1 + LD_INFO.eps + assert_("{0:.40g}".format(o) != '1') + + +@pytest.mark.skipif(longdouble_longer_than_double, reason="BUG #2376") +@pytest.mark.skipif(string_to_longdouble_inaccurate, + reason="Need strtold_l") +def test_percent(): + o = 1 + LD_INFO.eps + assert_("%.40g" % o != '1') + + +@pytest.mark.skipif(longdouble_longer_than_double, + reason="array repr problem") +@pytest.mark.skipif(string_to_longdouble_inaccurate, + reason="Need strtold_l") +def test_array_repr(): + o = 1 + LD_INFO.eps + a = np.array([o]) + b = np.array([1], dtype=np.longdouble) + if not np.all(a != b): + raise ValueError("precision loss creating arrays") + assert_(repr(a) != repr(b)) + +# +# Locale tests: scalar types formatting should be independent of the locale +# + +class TestCommaDecimalPointLocale(CommaDecimalPointLocale): + + def test_str_roundtrip_foreign(self): + o = 1.5 + assert_equal(o, np.longdouble(str(o))) + + def test_fromstring_foreign_repr(self): + f = 1.234 + a = np.fromstring(repr(f), dtype=float, sep=" ") + assert_equal(a[0], f) + + def test_fromstring_best_effort_float(self): + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1,234", dtype=float, sep=" "), + np.array([1.])) + + def test_fromstring_best_effort(self): + with assert_warns(DeprecationWarning): + assert_equal(np.fromstring("1,234", dtype=np.longdouble, sep=" "), + np.array([1.])) + + def test_fromstring_foreign(self): + s = "1.234" + a = np.fromstring(s, dtype=np.longdouble, sep=" ") + assert_equal(a[0], np.longdouble(s)) + + def test_fromstring_foreign_sep(self): + a = np.array([1, 2, 3, 4]) + b = np.fromstring("1,2,3,4,", dtype=np.longdouble, sep=",") + assert_array_equal(a, b) + + def test_fromstring_foreign_value(self): + with assert_warns(DeprecationWarning): + b = np.fromstring("1,234", dtype=np.longdouble, sep=" ") + assert_array_equal(b[0], 1) + + +@pytest.mark.parametrize("int_val", [ + # cases discussed in gh-10723 + # and gh-9968 + 2 ** 1024, 0]) +def test_longdouble_from_int(int_val): + # for issue gh-9968 + str_val = str(int_val) + # we'll expect a RuntimeWarning on platforms + # with np.longdouble equivalent to np.double + # for large integer input + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + # can be inf==inf on some platforms + assert np.longdouble(int_val) == np.longdouble(str_val) + # we can't directly compare the int and + # max longdouble value on all platforms + if np.allclose(np.finfo(np.longdouble).max, + np.finfo(np.double).max) and w: + assert w[0].category is RuntimeWarning + +@pytest.mark.parametrize("bool_val", [ + True, False]) +def test_longdouble_from_bool(bool_val): + assert np.longdouble(bool_val) == np.longdouble(int(bool_val)) + + +@pytest.mark.skipif( + not (IS_MUSL and platform.machine() == "x86_64"), + reason="only need to run on musllinux_x86_64" +) +def test_musllinux_x86_64_signature(): + # this test may fail if you're emulating musllinux_x86_64 on a different + # architecture, but should pass natively. + known_sigs = [b'\xcd\xcc\xcc\xcc\xcc\xcc\xcc\xcc\xfb\xbf'] + sig = (np.longdouble(-1.0) / np.longdouble(10.0)) + sig = sig.view(sig.dtype.newbyteorder('<')).tobytes()[:10] + assert sig in known_sigs + + +def test_eps_positive(): + # np.finfo('g').eps should be positive on all platforms. If this isn't true + # then something may have gone wrong with the MachArLike, e.g. if + # np._core.getlimits._discovered_machar didn't work properly + assert np.finfo(np.longdouble).eps > 0. diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_machar.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_machar.py new file mode 100644 index 0000000000000000000000000000000000000000..c7f677075dcac04cd1d2202bbcac5076ceabb703 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_machar.py @@ -0,0 +1,30 @@ +""" +Test machar. Given recent changes to hardcode type data, we might want to get +rid of both MachAr and this test at some point. + +""" +from numpy._core._machar import MachAr +import numpy._core.numerictypes as ntypes +from numpy import errstate, array + + +class TestMachAr: + def _run_machar_highprec(self): + # Instantiate MachAr instance with high enough precision to cause + # underflow + try: + hiprec = ntypes.float96 + MachAr(lambda v: array(v, hiprec)) + except AttributeError: + # Fixme, this needs to raise a 'skip' exception. + "Skipping test: no ntypes.float96 available on this platform." + + def test_underlow(self): + # Regression test for #759: + # instantiating MachAr for dtype = np.float96 raises spurious warning. + with errstate(all='raise'): + try: + self._run_machar_highprec() + except FloatingPointError as e: + msg = "Caught %s exception, should not have been raised." % e + raise AssertionError(msg) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_mem_overlap.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_mem_overlap.py new file mode 100644 index 0000000000000000000000000000000000000000..49a6b90da118e1d0c172383e9e74dc86ef3d43e0 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_mem_overlap.py @@ -0,0 +1,933 @@ +import itertools +import pytest + +import numpy as np +from numpy._core._multiarray_tests import solve_diophantine, internal_overlap +from numpy._core import _umath_tests +from numpy.lib.stride_tricks import as_strided +from numpy.testing import ( + assert_, assert_raises, assert_equal, assert_array_equal + ) + + +ndims = 2 +size = 10 +shape = tuple([size] * ndims) + +MAY_SHARE_BOUNDS = 0 +MAY_SHARE_EXACT = -1 + + +def _indices_for_nelems(nelems): + """Returns slices of length nelems, from start onwards, in direction sign.""" + + if nelems == 0: + return [size // 2] # int index + + res = [] + for step in (1, 2): + for sign in (-1, 1): + start = size // 2 - nelems * step * sign // 2 + stop = start + nelems * step * sign + res.append(slice(start, stop, step * sign)) + + return res + + +def _indices_for_axis(): + """Returns (src, dst) pairs of indices.""" + + res = [] + for nelems in (0, 2, 3): + ind = _indices_for_nelems(nelems) + res.extend(itertools.product(ind, ind)) # all assignments of size "nelems" + + return res + + +def _indices(ndims): + """Returns ((axis0_src, axis0_dst), (axis1_src, axis1_dst), ... ) index pairs.""" + + ind = _indices_for_axis() + return itertools.product(ind, repeat=ndims) + + +def _check_assignment(srcidx, dstidx): + """Check assignment arr[dstidx] = arr[srcidx] works.""" + + arr = np.arange(np.prod(shape)).reshape(shape) + + cpy = arr.copy() + + cpy[dstidx] = arr[srcidx] + arr[dstidx] = arr[srcidx] + + assert_(np.all(arr == cpy), + 'assigning arr[%s] = arr[%s]' % (dstidx, srcidx)) + + +def test_overlapping_assignments(): + # Test automatically generated assignments which overlap in memory. + + inds = _indices(ndims) + + for ind in inds: + srcidx = tuple([a[0] for a in ind]) + dstidx = tuple([a[1] for a in ind]) + + _check_assignment(srcidx, dstidx) + + +@pytest.mark.slow +def test_diophantine_fuzz(): + # Fuzz test the diophantine solver + rng = np.random.RandomState(1234) + + max_int = np.iinfo(np.intp).max + + for ndim in range(10): + feasible_count = 0 + infeasible_count = 0 + + min_count = 500//(ndim + 1) + + while min(feasible_count, infeasible_count) < min_count: + # Ensure big and small integer problems + A_max = 1 + rng.randint(0, 11, dtype=np.intp)**6 + U_max = rng.randint(0, 11, dtype=np.intp)**6 + + A_max = min(max_int, A_max) + U_max = min(max_int-1, U_max) + + A = tuple(int(rng.randint(1, A_max+1, dtype=np.intp)) + for j in range(ndim)) + U = tuple(int(rng.randint(0, U_max+2, dtype=np.intp)) + for j in range(ndim)) + + b_ub = min(max_int-2, sum(a*ub for a, ub in zip(A, U))) + b = int(rng.randint(-1, b_ub+2, dtype=np.intp)) + + if ndim == 0 and feasible_count < min_count: + b = 0 + + X = solve_diophantine(A, U, b) + + if X is None: + # Check the simplified decision problem agrees + X_simplified = solve_diophantine(A, U, b, simplify=1) + assert_(X_simplified is None, (A, U, b, X_simplified)) + + # Check no solution exists (provided the problem is + # small enough so that brute force checking doesn't + # take too long) + ranges = tuple(range(0, a*ub+1, a) for a, ub in zip(A, U)) + + size = 1 + for r in ranges: + size *= len(r) + if size < 100000: + assert_(not any(sum(w) == b for w in itertools.product(*ranges))) + infeasible_count += 1 + else: + # Check the simplified decision problem agrees + X_simplified = solve_diophantine(A, U, b, simplify=1) + assert_(X_simplified is not None, (A, U, b, X_simplified)) + + # Check validity + assert_(sum(a*x for a, x in zip(A, X)) == b) + assert_(all(0 <= x <= ub for x, ub in zip(X, U))) + feasible_count += 1 + + +def test_diophantine_overflow(): + # Smoke test integer overflow detection + max_intp = np.iinfo(np.intp).max + max_int64 = np.iinfo(np.int64).max + + if max_int64 <= max_intp: + # Check that the algorithm works internally in 128-bit; + # solving this problem requires large intermediate numbers + A = (max_int64//2, max_int64//2 - 10) + U = (max_int64//2, max_int64//2 - 10) + b = 2*(max_int64//2) - 10 + + assert_equal(solve_diophantine(A, U, b), (1, 1)) + + +def check_may_share_memory_exact(a, b): + got = np.may_share_memory(a, b, max_work=MAY_SHARE_EXACT) + + assert_equal(np.may_share_memory(a, b), + np.may_share_memory(a, b, max_work=MAY_SHARE_BOUNDS)) + + a.fill(0) + b.fill(0) + a.fill(1) + exact = b.any() + + err_msg = "" + if got != exact: + err_msg = " " + "\n ".join([ + "base_a - base_b = %r" % (a.__array_interface__['data'][0] - b.__array_interface__['data'][0],), + "shape_a = %r" % (a.shape,), + "shape_b = %r" % (b.shape,), + "strides_a = %r" % (a.strides,), + "strides_b = %r" % (b.strides,), + "size_a = %r" % (a.size,), + "size_b = %r" % (b.size,) + ]) + + assert_equal(got, exact, err_msg=err_msg) + + +def test_may_share_memory_manual(): + # Manual test cases for may_share_memory + + # Base arrays + xs0 = [ + np.zeros([13, 21, 23, 22], dtype=np.int8), + np.zeros([13, 21, 23*2, 22], dtype=np.int8)[:,:,::2,:] + ] + + # Generate all negative stride combinations + xs = [] + for x in xs0: + for ss in itertools.product(*(([slice(None), slice(None, None, -1)],)*4)): + xp = x[ss] + xs.append(xp) + + for x in xs: + # The default is a simple extent check + assert_(np.may_share_memory(x[:,0,:], x[:,1,:])) + assert_(np.may_share_memory(x[:,0,:], x[:,1,:], max_work=None)) + + # Exact checks + check_may_share_memory_exact(x[:,0,:], x[:,1,:]) + check_may_share_memory_exact(x[:,::7], x[:,3::3]) + + try: + xp = x.ravel() + if xp.flags.owndata: + continue + xp = xp.view(np.int16) + except ValueError: + continue + + # 0-size arrays cannot overlap + check_may_share_memory_exact(x.ravel()[6:6], + xp.reshape(13, 21, 23, 11)[:,::7]) + + # Test itemsize is dealt with + check_may_share_memory_exact(x[:,::7], + xp.reshape(13, 21, 23, 11)) + check_may_share_memory_exact(x[:,::7], + xp.reshape(13, 21, 23, 11)[:,3::3]) + check_may_share_memory_exact(x.ravel()[6:7], + xp.reshape(13, 21, 23, 11)[:,::7]) + + # Check unit size + x = np.zeros([1], dtype=np.int8) + check_may_share_memory_exact(x, x) + check_may_share_memory_exact(x, x.copy()) + + +def iter_random_view_pairs(x, same_steps=True, equal_size=False): + rng = np.random.RandomState(1234) + + if equal_size and same_steps: + raise ValueError + + def random_slice(n, step): + start = rng.randint(0, n+1, dtype=np.intp) + stop = rng.randint(start, n+1, dtype=np.intp) + if rng.randint(0, 2, dtype=np.intp) == 0: + stop, start = start, stop + step *= -1 + return slice(start, stop, step) + + def random_slice_fixed_size(n, step, size): + start = rng.randint(0, n+1 - size*step) + stop = start + (size-1)*step + 1 + if rng.randint(0, 2) == 0: + stop, start = start-1, stop-1 + if stop < 0: + stop = None + step *= -1 + return slice(start, stop, step) + + # First a few regular views + yield x, x + for j in range(1, 7, 3): + yield x[j:], x[:-j] + yield x[...,j:], x[...,:-j] + + # An array with zero stride internal overlap + strides = list(x.strides) + strides[0] = 0 + xp = as_strided(x, shape=x.shape, strides=strides) + yield x, xp + yield xp, xp + + # An array with non-zero stride internal overlap + strides = list(x.strides) + if strides[0] > 1: + strides[0] = 1 + xp = as_strided(x, shape=x.shape, strides=strides) + yield x, xp + yield xp, xp + + # Then discontiguous views + while True: + steps = tuple(rng.randint(1, 11, dtype=np.intp) + if rng.randint(0, 5, dtype=np.intp) == 0 else 1 + for j in range(x.ndim)) + s1 = tuple(random_slice(p, s) for p, s in zip(x.shape, steps)) + + t1 = np.arange(x.ndim) + rng.shuffle(t1) + + if equal_size: + t2 = t1 + else: + t2 = np.arange(x.ndim) + rng.shuffle(t2) + + a = x[s1] + + if equal_size: + if a.size == 0: + continue + + steps2 = tuple(rng.randint(1, max(2, p//(1+pa))) + if rng.randint(0, 5) == 0 else 1 + for p, s, pa in zip(x.shape, s1, a.shape)) + s2 = tuple(random_slice_fixed_size(p, s, pa) + for p, s, pa in zip(x.shape, steps2, a.shape)) + elif same_steps: + steps2 = steps + else: + steps2 = tuple(rng.randint(1, 11, dtype=np.intp) + if rng.randint(0, 5, dtype=np.intp) == 0 else 1 + for j in range(x.ndim)) + + if not equal_size: + s2 = tuple(random_slice(p, s) for p, s in zip(x.shape, steps2)) + + a = a.transpose(t1) + b = x[s2].transpose(t2) + + yield a, b + + +def check_may_share_memory_easy_fuzz(get_max_work, same_steps, min_count): + # Check that overlap problems with common strides are solved with + # little work. + x = np.zeros([17,34,71,97], dtype=np.int16) + + feasible = 0 + infeasible = 0 + + pair_iter = iter_random_view_pairs(x, same_steps) + + while min(feasible, infeasible) < min_count: + a, b = next(pair_iter) + + bounds_overlap = np.may_share_memory(a, b) + may_share_answer = np.may_share_memory(a, b) + easy_answer = np.may_share_memory(a, b, max_work=get_max_work(a, b)) + exact_answer = np.may_share_memory(a, b, max_work=MAY_SHARE_EXACT) + + if easy_answer != exact_answer: + # assert_equal is slow... + assert_equal(easy_answer, exact_answer) + + if may_share_answer != bounds_overlap: + assert_equal(may_share_answer, bounds_overlap) + + if bounds_overlap: + if exact_answer: + feasible += 1 + else: + infeasible += 1 + + +@pytest.mark.slow +def test_may_share_memory_easy_fuzz(): + # Check that overlap problems with common strides are always + # solved with little work. + + check_may_share_memory_easy_fuzz(get_max_work=lambda a, b: 1, + same_steps=True, + min_count=2000) + + +@pytest.mark.slow +def test_may_share_memory_harder_fuzz(): + # Overlap problems with not necessarily common strides take more + # work. + # + # The work bound below can't be reduced much. Harder problems can + # also exist but not be detected here, as the set of problems + # comes from RNG. + + check_may_share_memory_easy_fuzz(get_max_work=lambda a, b: max(a.size, b.size)//2, + same_steps=False, + min_count=2000) + + +def test_shares_memory_api(): + x = np.zeros([4, 5, 6], dtype=np.int8) + + assert_equal(np.shares_memory(x, x), True) + assert_equal(np.shares_memory(x, x.copy()), False) + + a = x[:,::2,::3] + b = x[:,::3,::2] + assert_equal(np.shares_memory(a, b), True) + assert_equal(np.shares_memory(a, b, max_work=None), True) + assert_raises( + np.exceptions.TooHardError, np.shares_memory, a, b, max_work=1 + ) + + +def test_may_share_memory_bad_max_work(): + x = np.zeros([1]) + assert_raises(OverflowError, np.may_share_memory, x, x, max_work=10**100) + assert_raises(OverflowError, np.shares_memory, x, x, max_work=10**100) + + +def test_internal_overlap_diophantine(): + def check(A, U, exists=None): + X = solve_diophantine(A, U, 0, require_ub_nontrivial=1) + + if exists is None: + exists = (X is not None) + + if X is not None: + assert_(sum(a*x for a, x in zip(A, X)) == sum(a*u//2 for a, u in zip(A, U))) + assert_(all(0 <= x <= u for x, u in zip(X, U))) + assert_(any(x != u//2 for x, u in zip(X, U))) + + if exists: + assert_(X is not None, repr(X)) + else: + assert_(X is None, repr(X)) + + # Smoke tests + check((3, 2), (2*2, 3*2), exists=True) + check((3*2, 2), (15*2, (3-1)*2), exists=False) + + +def test_internal_overlap_slices(): + # Slicing an array never generates internal overlap + + x = np.zeros([17,34,71,97], dtype=np.int16) + + rng = np.random.RandomState(1234) + + def random_slice(n, step): + start = rng.randint(0, n+1, dtype=np.intp) + stop = rng.randint(start, n+1, dtype=np.intp) + if rng.randint(0, 2, dtype=np.intp) == 0: + stop, start = start, stop + step *= -1 + return slice(start, stop, step) + + cases = 0 + min_count = 5000 + + while cases < min_count: + steps = tuple(rng.randint(1, 11, dtype=np.intp) + if rng.randint(0, 5, dtype=np.intp) == 0 else 1 + for j in range(x.ndim)) + t1 = np.arange(x.ndim) + rng.shuffle(t1) + s1 = tuple(random_slice(p, s) for p, s in zip(x.shape, steps)) + a = x[s1].transpose(t1) + + assert_(not internal_overlap(a)) + cases += 1 + + +def check_internal_overlap(a, manual_expected=None): + got = internal_overlap(a) + + # Brute-force check + m = set() + ranges = tuple(range(n) for n in a.shape) + for v in itertools.product(*ranges): + offset = sum(s*w for s, w in zip(a.strides, v)) + if offset in m: + expected = True + break + else: + m.add(offset) + else: + expected = False + + # Compare + if got != expected: + assert_equal(got, expected, err_msg=repr((a.strides, a.shape))) + if manual_expected is not None and expected != manual_expected: + assert_equal(expected, manual_expected) + return got + + +def test_internal_overlap_manual(): + # Stride tricks can construct arrays with internal overlap + + # We don't care about memory bounds, the array is not + # read/write accessed + x = np.arange(1).astype(np.int8) + + # Check low-dimensional special cases + + check_internal_overlap(x, False) # 1-dim + check_internal_overlap(x.reshape([]), False) # 0-dim + + a = as_strided(x, strides=(3, 4), shape=(4, 4)) + check_internal_overlap(a, False) + + a = as_strided(x, strides=(3, 4), shape=(5, 4)) + check_internal_overlap(a, True) + + a = as_strided(x, strides=(0,), shape=(0,)) + check_internal_overlap(a, False) + + a = as_strided(x, strides=(0,), shape=(1,)) + check_internal_overlap(a, False) + + a = as_strided(x, strides=(0,), shape=(2,)) + check_internal_overlap(a, True) + + a = as_strided(x, strides=(0, -9993), shape=(87, 22)) + check_internal_overlap(a, True) + + a = as_strided(x, strides=(0, -9993), shape=(1, 22)) + check_internal_overlap(a, False) + + a = as_strided(x, strides=(0, -9993), shape=(0, 22)) + check_internal_overlap(a, False) + + +def test_internal_overlap_fuzz(): + # Fuzz check; the brute-force check is fairly slow + + x = np.arange(1).astype(np.int8) + + overlap = 0 + no_overlap = 0 + min_count = 100 + + rng = np.random.RandomState(1234) + + while min(overlap, no_overlap) < min_count: + ndim = rng.randint(1, 4, dtype=np.intp) + + strides = tuple(rng.randint(-1000, 1000, dtype=np.intp) + for j in range(ndim)) + shape = tuple(rng.randint(1, 30, dtype=np.intp) + for j in range(ndim)) + + a = as_strided(x, strides=strides, shape=shape) + result = check_internal_overlap(a) + + if result: + overlap += 1 + else: + no_overlap += 1 + + +def test_non_ndarray_inputs(): + # Regression check for gh-5604 + + class MyArray: + def __init__(self, data): + self.data = data + + @property + def __array_interface__(self): + return self.data.__array_interface__ + + class MyArray2: + def __init__(self, data): + self.data = data + + def __array__(self, dtype=None, copy=None): + return self.data + + for cls in [MyArray, MyArray2]: + x = np.arange(5) + + assert_(np.may_share_memory(cls(x[::2]), x[1::2])) + assert_(not np.shares_memory(cls(x[::2]), x[1::2])) + + assert_(np.shares_memory(cls(x[1::3]), x[::2])) + assert_(np.may_share_memory(cls(x[1::3]), x[::2])) + + +def view_element_first_byte(x): + """Construct an array viewing the first byte of each element of `x`""" + from numpy.lib._stride_tricks_impl import DummyArray + interface = dict(x.__array_interface__) + interface['typestr'] = '|b1' + interface['descr'] = [('', '|b1')] + return np.asarray(DummyArray(interface, x)) + + +def assert_copy_equivalent(operation, args, out, **kwargs): + """ + Check that operation(*args, out=out) produces results + equivalent to out[...] = operation(*args, out=out.copy()) + """ + + kwargs['out'] = out + kwargs2 = dict(kwargs) + kwargs2['out'] = out.copy() + + out_orig = out.copy() + out[...] = operation(*args, **kwargs2) + expected = out.copy() + out[...] = out_orig + + got = operation(*args, **kwargs).copy() + + if (got != expected).any(): + assert_equal(got, expected) + + +class TestUFunc: + """ + Test ufunc call memory overlap handling + """ + + def check_unary_fuzz(self, operation, get_out_axis_size, dtype=np.int16, + count=5000): + shapes = [7, 13, 8, 21, 29, 32] + + rng = np.random.RandomState(1234) + + for ndim in range(1, 6): + x = rng.randint(0, 2**16, size=shapes[:ndim]).astype(dtype) + + it = iter_random_view_pairs(x, same_steps=False, equal_size=True) + + min_count = count // (ndim + 1)**2 + + overlapping = 0 + while overlapping < min_count: + a, b = next(it) + + a_orig = a.copy() + b_orig = b.copy() + + if get_out_axis_size is None: + assert_copy_equivalent(operation, [a], out=b) + + if np.shares_memory(a, b): + overlapping += 1 + else: + for axis in itertools.chain(range(ndim), [None]): + a[...] = a_orig + b[...] = b_orig + + # Determine size for reduction axis (None if scalar) + outsize, scalarize = get_out_axis_size(a, b, axis) + if outsize == 'skip': + continue + + # Slice b to get an output array of the correct size + sl = [slice(None)] * ndim + if axis is None: + if outsize is None: + sl = [slice(0, 1)] + [0]*(ndim - 1) + else: + sl = [slice(0, outsize)] + [0]*(ndim - 1) + else: + if outsize is None: + k = b.shape[axis]//2 + if ndim == 1: + sl[axis] = slice(k, k + 1) + else: + sl[axis] = k + else: + assert b.shape[axis] >= outsize + sl[axis] = slice(0, outsize) + b_out = b[tuple(sl)] + + if scalarize: + b_out = b_out.reshape([]) + + if np.shares_memory(a, b_out): + overlapping += 1 + + # Check result + assert_copy_equivalent(operation, [a], out=b_out, axis=axis) + + @pytest.mark.slow + def test_unary_ufunc_call_fuzz(self): + self.check_unary_fuzz(np.invert, None, np.int16) + + @pytest.mark.slow + def test_unary_ufunc_call_complex_fuzz(self): + # Complex typically has a smaller alignment than itemsize + self.check_unary_fuzz(np.negative, None, np.complex128, count=500) + + def test_binary_ufunc_accumulate_fuzz(self): + def get_out_axis_size(a, b, axis): + if axis is None: + if a.ndim == 1: + return a.size, False + else: + return 'skip', False # accumulate doesn't support this + else: + return a.shape[axis], False + + self.check_unary_fuzz(np.add.accumulate, get_out_axis_size, + dtype=np.int16, count=500) + + def test_binary_ufunc_reduce_fuzz(self): + def get_out_axis_size(a, b, axis): + return None, (axis is None or a.ndim == 1) + + self.check_unary_fuzz(np.add.reduce, get_out_axis_size, + dtype=np.int16, count=500) + + def test_binary_ufunc_reduceat_fuzz(self): + def get_out_axis_size(a, b, axis): + if axis is None: + if a.ndim == 1: + return a.size, False + else: + return 'skip', False # reduceat doesn't support this + else: + return a.shape[axis], False + + def do_reduceat(a, out, axis): + if axis is None: + size = len(a) + step = size//len(out) + else: + size = a.shape[axis] + step = a.shape[axis] // out.shape[axis] + idx = np.arange(0, size, step) + return np.add.reduceat(a, idx, out=out, axis=axis) + + self.check_unary_fuzz(do_reduceat, get_out_axis_size, + dtype=np.int16, count=500) + + def test_binary_ufunc_reduceat_manual(self): + def check(ufunc, a, ind, out): + c1 = ufunc.reduceat(a.copy(), ind.copy(), out=out.copy()) + c2 = ufunc.reduceat(a, ind, out=out) + assert_array_equal(c1, c2) + + # Exactly same input/output arrays + a = np.arange(10000, dtype=np.int16) + check(np.add, a, a[::-1].copy(), a) + + # Overlap with index + a = np.arange(10000, dtype=np.int16) + check(np.add, a, a[::-1], a) + + @pytest.mark.slow + def test_unary_gufunc_fuzz(self): + shapes = [7, 13, 8, 21, 29, 32] + gufunc = _umath_tests.euclidean_pdist + + rng = np.random.RandomState(1234) + + for ndim in range(2, 6): + x = rng.rand(*shapes[:ndim]) + + it = iter_random_view_pairs(x, same_steps=False, equal_size=True) + + min_count = 500 // (ndim + 1)**2 + + overlapping = 0 + while overlapping < min_count: + a, b = next(it) + + if min(a.shape[-2:]) < 2 or min(b.shape[-2:]) < 2 or a.shape[-1] < 2: + continue + + # Ensure the shapes are so that euclidean_pdist is happy + if b.shape[-1] > b.shape[-2]: + b = b[...,0,:] + else: + b = b[...,:,0] + + n = a.shape[-2] + p = n * (n - 1) // 2 + if p <= b.shape[-1] and p > 0: + b = b[...,:p] + else: + n = max(2, int(np.sqrt(b.shape[-1]))//2) + p = n * (n - 1) // 2 + a = a[...,:n,:] + b = b[...,:p] + + # Call + if np.shares_memory(a, b): + overlapping += 1 + + with np.errstate(over='ignore', invalid='ignore'): + assert_copy_equivalent(gufunc, [a], out=b) + + def test_ufunc_at_manual(self): + def check(ufunc, a, ind, b=None): + a0 = a.copy() + if b is None: + ufunc.at(a0, ind.copy()) + c1 = a0.copy() + ufunc.at(a, ind) + c2 = a.copy() + else: + ufunc.at(a0, ind.copy(), b.copy()) + c1 = a0.copy() + ufunc.at(a, ind, b) + c2 = a.copy() + assert_array_equal(c1, c2) + + # Overlap with index + a = np.arange(10000, dtype=np.int16) + check(np.invert, a[::-1], a) + + # Overlap with second data array + a = np.arange(100, dtype=np.int16) + ind = np.arange(0, 100, 2, dtype=np.int16) + check(np.add, a, ind, a[25:75]) + + def test_unary_ufunc_1d_manual(self): + # Exercise ufunc fast-paths (that avoid creation of an `np.nditer`) + + def check(a, b): + a_orig = a.copy() + b_orig = b.copy() + + b0 = b.copy() + c1 = ufunc(a, out=b0) + c2 = ufunc(a, out=b) + assert_array_equal(c1, c2) + + # Trigger "fancy ufunc loop" code path + mask = view_element_first_byte(b).view(np.bool) + + a[...] = a_orig + b[...] = b_orig + c1 = ufunc(a, out=b.copy(), where=mask.copy()).copy() + + a[...] = a_orig + b[...] = b_orig + c2 = ufunc(a, out=b, where=mask.copy()).copy() + + # Also, mask overlapping with output + a[...] = a_orig + b[...] = b_orig + c3 = ufunc(a, out=b, where=mask).copy() + + assert_array_equal(c1, c2) + assert_array_equal(c1, c3) + + dtypes = [np.int8, np.int16, np.int32, np.int64, np.float32, + np.float64, np.complex64, np.complex128] + dtypes = [np.dtype(x) for x in dtypes] + + for dtype in dtypes: + if np.issubdtype(dtype, np.integer): + ufunc = np.invert + else: + ufunc = np.reciprocal + + n = 1000 + k = 10 + indices = [ + np.index_exp[:n], + np.index_exp[k:k+n], + np.index_exp[n-1::-1], + np.index_exp[k+n-1:k-1:-1], + np.index_exp[:2*n:2], + np.index_exp[k:k+2*n:2], + np.index_exp[2*n-1::-2], + np.index_exp[k+2*n-1:k-1:-2], + ] + + for xi, yi in itertools.product(indices, indices): + v = np.arange(1, 1 + n*2 + k, dtype=dtype) + x = v[xi] + y = v[yi] + + with np.errstate(all='ignore'): + check(x, y) + + # Scalar cases + check(x[:1], y) + check(x[-1:], y) + check(x[:1].reshape([]), y) + check(x[-1:].reshape([]), y) + + def test_unary_ufunc_where_same(self): + # Check behavior at wheremask overlap + ufunc = np.invert + + def check(a, out, mask): + c1 = ufunc(a, out=out.copy(), where=mask.copy()) + c2 = ufunc(a, out=out, where=mask) + assert_array_equal(c1, c2) + + # Check behavior with same input and output arrays + x = np.arange(100).astype(np.bool) + check(x, x, x) + check(x, x.copy(), x) + check(x, x, x.copy()) + + @pytest.mark.slow + def test_binary_ufunc_1d_manual(self): + ufunc = np.add + + def check(a, b, c): + c0 = c.copy() + c1 = ufunc(a, b, out=c0) + c2 = ufunc(a, b, out=c) + assert_array_equal(c1, c2) + + for dtype in [np.int8, np.int16, np.int32, np.int64, + np.float32, np.float64, np.complex64, np.complex128]: + # Check different data dependency orders + + n = 1000 + k = 10 + + indices = [] + for p in [1, 2]: + indices.extend([ + np.index_exp[:p*n:p], + np.index_exp[k:k+p*n:p], + np.index_exp[p*n-1::-p], + np.index_exp[k+p*n-1:k-1:-p], + ]) + + for x, y, z in itertools.product(indices, indices, indices): + v = np.arange(6*n).astype(dtype) + x = v[x] + y = v[y] + z = v[z] + + check(x, y, z) + + # Scalar cases + check(x[:1], y, z) + check(x[-1:], y, z) + check(x[:1].reshape([]), y, z) + check(x[-1:].reshape([]), y, z) + check(x, y[:1], z) + check(x, y[-1:], z) + check(x, y[:1].reshape([]), z) + check(x, y[-1:].reshape([]), z) + + def test_inplace_op_simple_manual(self): + rng = np.random.RandomState(1234) + x = rng.rand(200, 200) # bigger than bufsize + + x += x.T + assert_array_equal(x - x.T, 0) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_mem_policy.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_mem_policy.py new file mode 100644 index 0000000000000000000000000000000000000000..9846f89c404cafe4168e8f4b2659f8b6a39ebabd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_mem_policy.py @@ -0,0 +1,449 @@ +import asyncio +import gc +import os +import sys +import threading + +import pytest + +import numpy as np +from numpy.testing import extbuild, assert_warns, IS_WASM, IS_EDITABLE +from numpy._core.multiarray import get_handler_name + + +@pytest.fixture +def get_module(tmp_path): + """ Add a memory policy that returns a false pointer 64 bytes into the + actual allocation, and fill the prefix with some text. Then check at each + memory manipulation that the prefix exists, to make sure all alloc/realloc/ + free/calloc go via the functions here. + """ + if sys.platform.startswith('cygwin'): + pytest.skip('link fails on cygwin') + if IS_WASM: + pytest.skip("Can't build module inside Wasm") + if IS_EDITABLE: + pytest.skip("Can't build module for editable install") + + functions = [ + ("get_default_policy", "METH_NOARGS", """ + Py_INCREF(PyDataMem_DefaultHandler); + return PyDataMem_DefaultHandler; + """), + ("set_secret_data_policy", "METH_NOARGS", """ + PyObject *secret_data = + PyCapsule_New(&secret_data_handler, "mem_handler", NULL); + if (secret_data == NULL) { + return NULL; + } + PyObject *old = PyDataMem_SetHandler(secret_data); + Py_DECREF(secret_data); + return old; + """), + ("set_wrong_capsule_name_data_policy", "METH_NOARGS", """ + PyObject *wrong_name_capsule = + PyCapsule_New(&secret_data_handler, "not_mem_handler", NULL); + if (wrong_name_capsule == NULL) { + return NULL; + } + PyObject *old = PyDataMem_SetHandler(wrong_name_capsule); + Py_DECREF(wrong_name_capsule); + return old; + """), + ("set_old_policy", "METH_O", """ + PyObject *old; + if (args != NULL && PyCapsule_CheckExact(args)) { + old = PyDataMem_SetHandler(args); + } + else { + old = PyDataMem_SetHandler(NULL); + } + return old; + """), + ("get_array", "METH_NOARGS", """ + char *buf = (char *)malloc(20); + npy_intp dims[1]; + dims[0] = 20; + PyArray_Descr *descr = PyArray_DescrNewFromType(NPY_UINT8); + return PyArray_NewFromDescr(&PyArray_Type, descr, 1, dims, NULL, + buf, NPY_ARRAY_WRITEABLE, NULL); + """), + ("set_own", "METH_O", """ + if (!PyArray_Check(args)) { + PyErr_SetString(PyExc_ValueError, + "need an ndarray"); + return NULL; + } + PyArray_ENABLEFLAGS((PyArrayObject*)args, NPY_ARRAY_OWNDATA); + // Maybe try this too? + // PyArray_BASE(PyArrayObject *)args) = NULL; + Py_RETURN_NONE; + """), + ("get_array_with_base", "METH_NOARGS", """ + char *buf = (char *)malloc(20); + npy_intp dims[1]; + dims[0] = 20; + PyArray_Descr *descr = PyArray_DescrNewFromType(NPY_UINT8); + PyObject *arr = PyArray_NewFromDescr(&PyArray_Type, descr, 1, dims, + NULL, buf, + NPY_ARRAY_WRITEABLE, NULL); + if (arr == NULL) return NULL; + PyObject *obj = PyCapsule_New(buf, "buf capsule", + (PyCapsule_Destructor)&warn_on_free); + if (obj == NULL) { + Py_DECREF(arr); + return NULL; + } + if (PyArray_SetBaseObject((PyArrayObject *)arr, obj) < 0) { + Py_DECREF(arr); + Py_DECREF(obj); + return NULL; + } + return arr; + + """), + ] + prologue = ''' + #define NPY_TARGET_VERSION NPY_1_22_API_VERSION + #define NPY_NO_DEPRECATED_API NPY_1_7_API_VERSION + #include + /* + * This struct allows the dynamic configuration of the allocator funcs + * of the `secret_data_allocator`. It is provided here for + * demonstration purposes, as a valid `ctx` use-case scenario. + */ + typedef struct { + void *(*malloc)(size_t); + void *(*calloc)(size_t, size_t); + void *(*realloc)(void *, size_t); + void (*free)(void *); + } SecretDataAllocatorFuncs; + + NPY_NO_EXPORT void * + shift_alloc(void *ctx, size_t sz) { + SecretDataAllocatorFuncs *funcs = (SecretDataAllocatorFuncs *)ctx; + char *real = (char *)funcs->malloc(sz + 64); + if (real == NULL) { + return NULL; + } + snprintf(real, 64, "originally allocated %ld", (unsigned long)sz); + return (void *)(real + 64); + } + NPY_NO_EXPORT void * + shift_zero(void *ctx, size_t sz, size_t cnt) { + SecretDataAllocatorFuncs *funcs = (SecretDataAllocatorFuncs *)ctx; + char *real = (char *)funcs->calloc(sz + 64, cnt); + if (real == NULL) { + return NULL; + } + snprintf(real, 64, "originally allocated %ld via zero", + (unsigned long)sz); + return (void *)(real + 64); + } + NPY_NO_EXPORT void + shift_free(void *ctx, void * p, npy_uintp sz) { + SecretDataAllocatorFuncs *funcs = (SecretDataAllocatorFuncs *)ctx; + if (p == NULL) { + return ; + } + char *real = (char *)p - 64; + if (strncmp(real, "originally allocated", 20) != 0) { + fprintf(stdout, "uh-oh, unmatched shift_free, " + "no appropriate prefix\\n"); + /* Make C runtime crash by calling free on the wrong address */ + funcs->free((char *)p + 10); + /* funcs->free(real); */ + } + else { + npy_uintp i = (npy_uintp)atoi(real +20); + if (i != sz) { + fprintf(stderr, "uh-oh, unmatched shift_free" + "(ptr, %ld) but allocated %ld\\n", sz, i); + /* This happens in some places, only print */ + funcs->free(real); + } + else { + funcs->free(real); + } + } + } + NPY_NO_EXPORT void * + shift_realloc(void *ctx, void * p, npy_uintp sz) { + SecretDataAllocatorFuncs *funcs = (SecretDataAllocatorFuncs *)ctx; + if (p != NULL) { + char *real = (char *)p - 64; + if (strncmp(real, "originally allocated", 20) != 0) { + fprintf(stdout, "uh-oh, unmatched shift_realloc\\n"); + return realloc(p, sz); + } + return (void *)((char *)funcs->realloc(real, sz + 64) + 64); + } + else { + char *real = (char *)funcs->realloc(p, sz + 64); + if (real == NULL) { + return NULL; + } + snprintf(real, 64, "originally allocated " + "%ld via realloc", (unsigned long)sz); + return (void *)(real + 64); + } + } + /* As an example, we use the standard {m|c|re}alloc/free funcs. */ + static SecretDataAllocatorFuncs secret_data_handler_ctx = { + malloc, + calloc, + realloc, + free + }; + static PyDataMem_Handler secret_data_handler = { + "secret_data_allocator", + 1, + { + &secret_data_handler_ctx, /* ctx */ + shift_alloc, /* malloc */ + shift_zero, /* calloc */ + shift_realloc, /* realloc */ + shift_free /* free */ + } + }; + void warn_on_free(void *capsule) { + PyErr_WarnEx(PyExc_UserWarning, "in warn_on_free", 1); + void * obj = PyCapsule_GetPointer(capsule, + PyCapsule_GetName(capsule)); + free(obj); + }; + ''' + more_init = "import_array();" + try: + import mem_policy + return mem_policy + except ImportError: + pass + # if it does not exist, build and load it + return extbuild.build_and_import_extension('mem_policy', + functions, + prologue=prologue, + include_dirs=[np.get_include()], + build_dir=tmp_path, + more_init=more_init) + + +def test_set_policy(get_module): + + get_handler_name = np._core.multiarray.get_handler_name + get_handler_version = np._core.multiarray.get_handler_version + orig_policy_name = get_handler_name() + + a = np.arange(10).reshape((2, 5)) # a doesn't own its own data + assert get_handler_name(a) is None + assert get_handler_version(a) is None + assert get_handler_name(a.base) == orig_policy_name + assert get_handler_version(a.base) == 1 + + orig_policy = get_module.set_secret_data_policy() + + b = np.arange(10).reshape((2, 5)) # b doesn't own its own data + assert get_handler_name(b) is None + assert get_handler_version(b) is None + assert get_handler_name(b.base) == 'secret_data_allocator' + assert get_handler_version(b.base) == 1 + + if orig_policy_name == 'default_allocator': + get_module.set_old_policy(None) # tests PyDataMem_SetHandler(NULL) + assert get_handler_name() == 'default_allocator' + else: + get_module.set_old_policy(orig_policy) + assert get_handler_name() == orig_policy_name + + with pytest.raises(ValueError, + match="Capsule must be named 'mem_handler'"): + get_module.set_wrong_capsule_name_data_policy() + + +def test_default_policy_singleton(get_module): + get_handler_name = np._core.multiarray.get_handler_name + + # set the policy to default + orig_policy = get_module.set_old_policy(None) + + assert get_handler_name() == 'default_allocator' + + # re-set the policy to default + def_policy_1 = get_module.set_old_policy(None) + + assert get_handler_name() == 'default_allocator' + + # set the policy to original + def_policy_2 = get_module.set_old_policy(orig_policy) + + # since default policy is a singleton, + # these should be the same object + assert def_policy_1 is def_policy_2 is get_module.get_default_policy() + + +def test_policy_propagation(get_module): + # The memory policy goes hand-in-hand with flags.owndata + + class MyArr(np.ndarray): + pass + + get_handler_name = np._core.multiarray.get_handler_name + orig_policy_name = get_handler_name() + a = np.arange(10).view(MyArr).reshape((2, 5)) + assert get_handler_name(a) is None + assert a.flags.owndata is False + + assert get_handler_name(a.base) is None + assert a.base.flags.owndata is False + + assert get_handler_name(a.base.base) == orig_policy_name + assert a.base.base.flags.owndata is True + + +async def concurrent_context1(get_module, orig_policy_name, event): + if orig_policy_name == 'default_allocator': + get_module.set_secret_data_policy() + assert get_handler_name() == 'secret_data_allocator' + else: + get_module.set_old_policy(None) + assert get_handler_name() == 'default_allocator' + event.set() + + +async def concurrent_context2(get_module, orig_policy_name, event): + await event.wait() + # the policy is not affected by changes in parallel contexts + assert get_handler_name() == orig_policy_name + # change policy in the child context + if orig_policy_name == 'default_allocator': + get_module.set_secret_data_policy() + assert get_handler_name() == 'secret_data_allocator' + else: + get_module.set_old_policy(None) + assert get_handler_name() == 'default_allocator' + + +async def async_test_context_locality(get_module): + orig_policy_name = np._core.multiarray.get_handler_name() + + event = asyncio.Event() + # the child contexts inherit the parent policy + concurrent_task1 = asyncio.create_task( + concurrent_context1(get_module, orig_policy_name, event)) + concurrent_task2 = asyncio.create_task( + concurrent_context2(get_module, orig_policy_name, event)) + await concurrent_task1 + await concurrent_task2 + + # the parent context is not affected by child policy changes + assert np._core.multiarray.get_handler_name() == orig_policy_name + + +def test_context_locality(get_module): + if (sys.implementation.name == 'pypy' + and sys.pypy_version_info[:3] < (7, 3, 6)): + pytest.skip('no context-locality support in PyPy < 7.3.6') + asyncio.run(async_test_context_locality(get_module)) + + +def concurrent_thread1(get_module, event): + get_module.set_secret_data_policy() + assert np._core.multiarray.get_handler_name() == 'secret_data_allocator' + event.set() + + +def concurrent_thread2(get_module, event): + event.wait() + # the policy is not affected by changes in parallel threads + assert np._core.multiarray.get_handler_name() == 'default_allocator' + # change policy in the child thread + get_module.set_secret_data_policy() + + +def test_thread_locality(get_module): + orig_policy_name = np._core.multiarray.get_handler_name() + + event = threading.Event() + # the child threads do not inherit the parent policy + concurrent_task1 = threading.Thread(target=concurrent_thread1, + args=(get_module, event)) + concurrent_task2 = threading.Thread(target=concurrent_thread2, + args=(get_module, event)) + concurrent_task1.start() + concurrent_task2.start() + concurrent_task1.join() + concurrent_task2.join() + + # the parent thread is not affected by child policy changes + assert np._core.multiarray.get_handler_name() == orig_policy_name + + +@pytest.mark.skip(reason="too slow, see gh-23975") +def test_new_policy(get_module): + a = np.arange(10) + orig_policy_name = np._core.multiarray.get_handler_name(a) + + orig_policy = get_module.set_secret_data_policy() + + b = np.arange(10) + assert np._core.multiarray.get_handler_name(b) == 'secret_data_allocator' + + # test array manipulation. This is slow + if orig_policy_name == 'default_allocator': + # when the np._core.test tests recurse into this test, the + # policy will be set so this "if" will be false, preventing + # infinite recursion + # + # if needed, debug this by + # - running tests with -- -s (to not capture stdout/stderr + # - setting verbose=2 + # - setting extra_argv=['-vv'] here + assert np._core.test('full', verbose=1, extra_argv=[]) + # also try the ma tests, the pickling test is quite tricky + assert np.ma.test('full', verbose=1, extra_argv=[]) + + get_module.set_old_policy(orig_policy) + + c = np.arange(10) + assert np._core.multiarray.get_handler_name(c) == orig_policy_name + + +@pytest.mark.xfail(sys.implementation.name == "pypy", + reason=("bad interaction between getenv and " + "os.environ inside pytest")) +@pytest.mark.parametrize("policy", ["0", "1", None]) +def test_switch_owner(get_module, policy): + a = get_module.get_array() + assert np._core.multiarray.get_handler_name(a) is None + get_module.set_own(a) + + if policy is None: + # See what we expect to be set based on the env variable + policy = os.getenv("NUMPY_WARN_IF_NO_MEM_POLICY", "0") == "1" + oldval = None + else: + policy = policy == "1" + oldval = np._core._multiarray_umath._set_numpy_warn_if_no_mem_policy( + policy) + try: + # The policy should be NULL, so we have to assume we can call + # "free". A warning is given if the policy == "1" + if policy: + with assert_warns(RuntimeWarning) as w: + del a + gc.collect() + else: + del a + gc.collect() + + finally: + if oldval is not None: + np._core._multiarray_umath._set_numpy_warn_if_no_mem_policy(oldval) + + +def test_owner_is_base(get_module): + a = get_module.get_array_with_base() + with pytest.warns(UserWarning, match='warn_on_free'): + del a + gc.collect() + gc.collect() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_memmap.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_memmap.py new file mode 100644 index 0000000000000000000000000000000000000000..4ee8444432adff543569d17923a0201e740676be --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_memmap.py @@ -0,0 +1,230 @@ +import sys +import os +import mmap +import pytest +from pathlib import Path +from tempfile import NamedTemporaryFile, TemporaryFile + +from numpy import ( + memmap, sum, average, prod, ndarray, isscalar, add, subtract, multiply) + +from numpy import arange, allclose, asarray +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, suppress_warnings, IS_PYPY, + break_cycles + ) + +class TestMemmap: + def setup_method(self): + self.tmpfp = NamedTemporaryFile(prefix='mmap') + self.shape = (3, 4) + self.dtype = 'float32' + self.data = arange(12, dtype=self.dtype) + self.data.resize(self.shape) + + def teardown_method(self): + self.tmpfp.close() + self.data = None + if IS_PYPY: + break_cycles() + break_cycles() + + def test_roundtrip(self): + # Write data to file + fp = memmap(self.tmpfp, dtype=self.dtype, mode='w+', + shape=self.shape) + fp[:] = self.data[:] + del fp # Test __del__ machinery, which handles cleanup + + # Read data back from file + newfp = memmap(self.tmpfp, dtype=self.dtype, mode='r', + shape=self.shape) + assert_(allclose(self.data, newfp)) + assert_array_equal(self.data, newfp) + assert_equal(newfp.flags.writeable, False) + + def test_open_with_filename(self, tmp_path): + tmpname = tmp_path / 'mmap' + fp = memmap(tmpname, dtype=self.dtype, mode='w+', + shape=self.shape) + fp[:] = self.data[:] + del fp + + def test_unnamed_file(self): + with TemporaryFile() as f: + fp = memmap(f, dtype=self.dtype, shape=self.shape) + del fp + + def test_attributes(self): + offset = 1 + mode = "w+" + fp = memmap(self.tmpfp, dtype=self.dtype, mode=mode, + shape=self.shape, offset=offset) + assert_equal(offset, fp.offset) + assert_equal(mode, fp.mode) + del fp + + def test_filename(self, tmp_path): + tmpname = tmp_path / "mmap" + fp = memmap(tmpname, dtype=self.dtype, mode='w+', + shape=self.shape) + abspath = Path(os.path.abspath(tmpname)) + fp[:] = self.data[:] + assert_equal(abspath, fp.filename) + b = fp[:1] + assert_equal(abspath, b.filename) + del b + del fp + + def test_path(self, tmp_path): + tmpname = tmp_path / "mmap" + fp = memmap(Path(tmpname), dtype=self.dtype, mode='w+', + shape=self.shape) + # os.path.realpath does not resolve symlinks on Windows + # see: https://bugs.python.org/issue9949 + # use Path.resolve, just as memmap class does internally + abspath = str(Path(tmpname).resolve()) + fp[:] = self.data[:] + assert_equal(abspath, str(fp.filename.resolve())) + b = fp[:1] + assert_equal(abspath, str(b.filename.resolve())) + del b + del fp + + def test_filename_fileobj(self): + fp = memmap(self.tmpfp, dtype=self.dtype, mode="w+", + shape=self.shape) + assert_equal(fp.filename, self.tmpfp.name) + + @pytest.mark.skipif(sys.platform == 'gnu0', + reason="Known to fail on hurd") + def test_flush(self): + fp = memmap(self.tmpfp, dtype=self.dtype, mode='w+', + shape=self.shape) + fp[:] = self.data[:] + assert_equal(fp[0], self.data[0]) + fp.flush() + + def test_del(self): + # Make sure a view does not delete the underlying mmap + fp_base = memmap(self.tmpfp, dtype=self.dtype, mode='w+', + shape=self.shape) + fp_base[0] = 5 + fp_view = fp_base[0:1] + assert_equal(fp_view[0], 5) + del fp_view + # Should still be able to access and assign values after + # deleting the view + assert_equal(fp_base[0], 5) + fp_base[0] = 6 + assert_equal(fp_base[0], 6) + + def test_arithmetic_drops_references(self): + fp = memmap(self.tmpfp, dtype=self.dtype, mode='w+', + shape=self.shape) + tmp = (fp + 10) + if isinstance(tmp, memmap): + assert_(tmp._mmap is not fp._mmap) + + def test_indexing_drops_references(self): + fp = memmap(self.tmpfp, dtype=self.dtype, mode='w+', + shape=self.shape) + tmp = fp[(1, 2), (2, 3)] + if isinstance(tmp, memmap): + assert_(tmp._mmap is not fp._mmap) + + def test_slicing_keeps_references(self): + fp = memmap(self.tmpfp, dtype=self.dtype, mode='w+', + shape=self.shape) + assert_(fp[:2, :2]._mmap is fp._mmap) + + def test_view(self): + fp = memmap(self.tmpfp, dtype=self.dtype, shape=self.shape) + new1 = fp.view() + new2 = new1.view() + assert_(new1.base is fp) + assert_(new2.base is fp) + new_array = asarray(fp) + assert_(new_array.base is fp) + + def test_ufunc_return_ndarray(self): + fp = memmap(self.tmpfp, dtype=self.dtype, shape=self.shape) + fp[:] = self.data + + with suppress_warnings() as sup: + sup.filter(FutureWarning, "np.average currently does not preserve") + for unary_op in [sum, average, prod]: + result = unary_op(fp) + assert_(isscalar(result)) + assert_(result.__class__ is self.data[0, 0].__class__) + + assert_(unary_op(fp, axis=0).__class__ is ndarray) + assert_(unary_op(fp, axis=1).__class__ is ndarray) + + for binary_op in [add, subtract, multiply]: + assert_(binary_op(fp, self.data).__class__ is ndarray) + assert_(binary_op(self.data, fp).__class__ is ndarray) + assert_(binary_op(fp, fp).__class__ is ndarray) + + fp += 1 + assert(fp.__class__ is memmap) + add(fp, 1, out=fp) + assert(fp.__class__ is memmap) + + def test_getitem(self): + fp = memmap(self.tmpfp, dtype=self.dtype, shape=self.shape) + fp[:] = self.data + + assert_(fp[1:, :-1].__class__ is memmap) + # Fancy indexing returns a copy that is not memmapped + assert_(fp[[0, 1]].__class__ is ndarray) + + def test_memmap_subclass(self): + class MemmapSubClass(memmap): + pass + + fp = MemmapSubClass(self.tmpfp, dtype=self.dtype, shape=self.shape) + fp[:] = self.data + + # We keep previous behavior for subclasses of memmap, i.e. the + # ufunc and __getitem__ output is never turned into a ndarray + assert_(sum(fp, axis=0).__class__ is MemmapSubClass) + assert_(sum(fp).__class__ is MemmapSubClass) + assert_(fp[1:, :-1].__class__ is MemmapSubClass) + assert(fp[[0, 1]].__class__ is MemmapSubClass) + + def test_mmap_offset_greater_than_allocation_granularity(self): + size = 5 * mmap.ALLOCATIONGRANULARITY + offset = mmap.ALLOCATIONGRANULARITY + 1 + fp = memmap(self.tmpfp, shape=size, mode='w+', offset=offset) + assert_(fp.offset == offset) + + def test_empty_array_with_offset_multiple_of_allocation_granularity(self): + self.tmpfp.write(b'a'*mmap.ALLOCATIONGRANULARITY) + size = 0 + offset = mmap.ALLOCATIONGRANULARITY + fp = memmap(self.tmpfp, shape=size, mode='w+', offset=offset) + assert_equal(fp.offset, offset) + + def test_no_shape(self): + self.tmpfp.write(b'a'*16) + mm = memmap(self.tmpfp, dtype='float64') + assert_equal(mm.shape, (2,)) + + def test_empty_array(self): + # gh-12653 + with pytest.raises(ValueError, match='empty file'): + memmap(self.tmpfp, shape=(0, 4), mode='r') + + # gh-27723 + # empty memmap works with mode in ('w+','r+') + memmap(self.tmpfp, shape=(0, 4), mode='w+') + + # ok now the file is not empty + memmap(self.tmpfp, shape=(0, 4), mode='w+') + + def test_shape_type(self): + memmap(self.tmpfp, shape=3, mode='w+') + memmap(self.tmpfp, shape=self.shape, mode='w+') + memmap(self.tmpfp, shape=list(self.shape), mode='w+') + memmap(self.tmpfp, shape=asarray(self.shape), mode='w+') diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_multiarray.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_multiarray.py new file mode 100644 index 0000000000000000000000000000000000000000..87508732d85c4e63efbb798d76aba88bb63dc689 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_multiarray.py @@ -0,0 +1,10381 @@ +from __future__ import annotations + +import collections.abc +import tempfile +import sys +import warnings +import operator +import io +import itertools +import functools +import ctypes +import os +import gc +import re +import weakref +import pytest +from contextlib import contextmanager +import pickle +import pathlib +import builtins +from decimal import Decimal +import mmap + +import numpy as np +import numpy._core._multiarray_tests as _multiarray_tests +from numpy._core._rational_tests import rational +from numpy.exceptions import AxisError, ComplexWarning +from numpy.testing import ( + assert_, assert_raises, assert_warns, assert_equal, assert_almost_equal, + assert_array_equal, assert_raises_regex, assert_array_almost_equal, + assert_allclose, IS_PYPY, IS_WASM, IS_PYSTON, HAS_REFCOUNT, + assert_array_less, runstring, temppath, suppress_warnings, break_cycles, + check_support_sve, assert_array_compare, IS_64BIT + ) +from numpy.testing._private.utils import requires_memory, _no_tracing +from numpy._core.tests._locales import CommaDecimalPointLocale +from numpy.lib.recfunctions import repack_fields +from numpy._core.multiarray import _get_ndarray_c_version, dot + +# Need to test an object that does not fully implement math interface +from datetime import timedelta, datetime + + +def assert_arg_sorted(arr, arg): + # resulting array should be sorted and arg values should be unique + assert_equal(arr[arg], np.sort(arr)) + assert_equal(np.sort(arg), np.arange(len(arg))) + + +def assert_arr_partitioned(kth, k, arr_part): + assert_equal(arr_part[k], kth) + assert_array_compare(operator.__le__, arr_part[:k], kth) + assert_array_compare(operator.__ge__, arr_part[k:], kth) + + +def _aligned_zeros(shape, dtype=float, order="C", align=None): + """ + Allocate a new ndarray with aligned memory. + + The ndarray is guaranteed *not* aligned to twice the requested alignment. + Eg, if align=4, guarantees it is not aligned to 8. If align=None uses + dtype.alignment.""" + dtype = np.dtype(dtype) + if dtype == np.dtype(object): + # Can't do this, fall back to standard allocation (which + # should always be sufficiently aligned) + if align is not None: + raise ValueError("object array alignment not supported") + return np.zeros(shape, dtype=dtype, order=order) + if align is None: + align = dtype.alignment + if not hasattr(shape, '__len__'): + shape = (shape,) + size = functools.reduce(operator.mul, shape) * dtype.itemsize + buf = np.empty(size + 2*align + 1, np.uint8) + + ptr = buf.__array_interface__['data'][0] + offset = ptr % align + if offset != 0: + offset = align - offset + if (ptr % (2*align)) == 0: + offset += align + + # Note: slices producing 0-size arrays do not necessarily change + # data pointer --- so we use and allocate size+1 + buf = buf[offset:offset+size+1][:-1] + buf.fill(0) + data = np.ndarray(shape, dtype, buf, order=order) + return data + + +class TestFlags: + def setup_method(self): + self.a = np.arange(10) + + def test_writeable(self): + mydict = locals() + self.a.flags.writeable = False + assert_raises(ValueError, runstring, 'self.a[0] = 3', mydict) + self.a.flags.writeable = True + self.a[0] = 5 + self.a[0] = 0 + + def test_writeable_any_base(self): + # Ensure that any base being writeable is sufficient to change flag; + # this is especially interesting for arrays from an array interface. + arr = np.arange(10) + + class subclass(np.ndarray): + pass + + # Create subclass so base will not be collapsed, this is OK to change + view1 = arr.view(subclass) + view2 = view1[...] + arr.flags.writeable = False + view2.flags.writeable = False + view2.flags.writeable = True # Can be set to True again. + + arr = np.arange(10) + + class frominterface: + def __init__(self, arr): + self.arr = arr + self.__array_interface__ = arr.__array_interface__ + + view1 = np.asarray(frominterface) + view2 = view1[...] + view2.flags.writeable = False + view2.flags.writeable = True + + view1.flags.writeable = False + view2.flags.writeable = False + with assert_raises(ValueError): + # Must assume not writeable, since only base is not: + view2.flags.writeable = True + + def test_writeable_from_readonly(self): + # gh-9440 - make sure fromstring, from buffer on readonly buffers + # set writeable False + data = b'\x00' * 100 + vals = np.frombuffer(data, 'B') + assert_raises(ValueError, vals.setflags, write=True) + types = np.dtype( [('vals', 'u1'), ('res3', 'S4')] ) + values = np._core.records.fromstring(data, types) + vals = values['vals'] + assert_raises(ValueError, vals.setflags, write=True) + + def test_writeable_from_buffer(self): + data = bytearray(b'\x00' * 100) + vals = np.frombuffer(data, 'B') + assert_(vals.flags.writeable) + vals.setflags(write=False) + assert_(vals.flags.writeable is False) + vals.setflags(write=True) + assert_(vals.flags.writeable) + types = np.dtype( [('vals', 'u1'), ('res3', 'S4')] ) + values = np._core.records.fromstring(data, types) + vals = values['vals'] + assert_(vals.flags.writeable) + vals.setflags(write=False) + assert_(vals.flags.writeable is False) + vals.setflags(write=True) + assert_(vals.flags.writeable) + + @pytest.mark.skipif(IS_PYPY, reason="PyPy always copies") + def test_writeable_pickle(self): + import pickle + # Small arrays will be copied without setting base. + # See condition for using PyArray_SetBaseObject in + # array_setstate. + a = np.arange(1000) + for v in range(pickle.HIGHEST_PROTOCOL): + vals = pickle.loads(pickle.dumps(a, v)) + assert_(vals.flags.writeable) + assert_(isinstance(vals.base, bytes)) + + def test_writeable_from_c_data(self): + # Test that the writeable flag can be changed for an array wrapping + # low level C-data, but not owning its data. + # Also see that this is deprecated to change from python. + from numpy._core._multiarray_tests import get_c_wrapping_array + + arr_writeable = get_c_wrapping_array(True) + assert not arr_writeable.flags.owndata + assert arr_writeable.flags.writeable + view = arr_writeable[...] + + # Toggling the writeable flag works on the view: + view.flags.writeable = False + assert not view.flags.writeable + view.flags.writeable = True + assert view.flags.writeable + # Flag can be unset on the arr_writeable: + arr_writeable.flags.writeable = False + + arr_readonly = get_c_wrapping_array(False) + assert not arr_readonly.flags.owndata + assert not arr_readonly.flags.writeable + + for arr in [arr_writeable, arr_readonly]: + view = arr[...] + view.flags.writeable = False # make sure it is readonly + arr.flags.writeable = False + assert not arr.flags.writeable + + with assert_raises(ValueError): + view.flags.writeable = True + + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + with assert_raises(DeprecationWarning): + arr.flags.writeable = True + + with assert_warns(DeprecationWarning): + arr.flags.writeable = True + + def test_warnonwrite(self): + a = np.arange(10) + a.flags._warn_on_write = True + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always') + a[1] = 10 + a[2] = 10 + # only warn once + assert_(len(w) == 1) + + @pytest.mark.parametrize(["flag", "flag_value", "writeable"], + [("writeable", True, True), + # Delete _warn_on_write after deprecation and simplify + # the parameterization: + ("_warn_on_write", True, False), + ("writeable", False, False)]) + def test_readonly_flag_protocols(self, flag, flag_value, writeable): + a = np.arange(10) + setattr(a.flags, flag, flag_value) + + class MyArr: + __array_struct__ = a.__array_struct__ + + assert memoryview(a).readonly is not writeable + assert a.__array_interface__['data'][1] is not writeable + assert np.asarray(MyArr()).flags.writeable is writeable + + def test_otherflags(self): + assert_equal(self.a.flags.carray, True) + assert_equal(self.a.flags['C'], True) + assert_equal(self.a.flags.farray, False) + assert_equal(self.a.flags.behaved, True) + assert_equal(self.a.flags.fnc, False) + assert_equal(self.a.flags.forc, True) + assert_equal(self.a.flags.owndata, True) + assert_equal(self.a.flags.writeable, True) + assert_equal(self.a.flags.aligned, True) + assert_equal(self.a.flags.writebackifcopy, False) + assert_equal(self.a.flags['X'], False) + assert_equal(self.a.flags['WRITEBACKIFCOPY'], False) + + def test_string_align(self): + a = np.zeros(4, dtype=np.dtype('|S4')) + assert_(a.flags.aligned) + # not power of two are accessed byte-wise and thus considered aligned + a = np.zeros(5, dtype=np.dtype('|S4')) + assert_(a.flags.aligned) + + def test_void_align(self): + a = np.zeros(4, dtype=np.dtype([("a", "i4"), ("b", "i4")])) + assert_(a.flags.aligned) + + @pytest.mark.parametrize("row_size", [5, 1 << 16]) + @pytest.mark.parametrize("row_count", [1, 5]) + @pytest.mark.parametrize("ndmin", [0, 1, 2]) + def test_xcontiguous_load_txt(self, row_size, row_count, ndmin): + s = io.StringIO('\n'.join(['1.0 ' * row_size] * row_count)) + a = np.loadtxt(s, ndmin=ndmin) + + assert a.flags.c_contiguous + x = [i for i in a.shape if i != 1] + assert a.flags.f_contiguous == (len(x) <= 1) + + +class TestHash: + # see #3793 + def test_int(self): + for st, ut, s in [(np.int8, np.uint8, 8), + (np.int16, np.uint16, 16), + (np.int32, np.uint32, 32), + (np.int64, np.uint64, 64)]: + for i in range(1, s): + assert_equal(hash(st(-2**i)), hash(-2**i), + err_msg="%r: -2**%d" % (st, i)) + assert_equal(hash(st(2**(i - 1))), hash(2**(i - 1)), + err_msg="%r: 2**%d" % (st, i - 1)) + assert_equal(hash(st(2**i - 1)), hash(2**i - 1), + err_msg="%r: 2**%d - 1" % (st, i)) + + i = max(i - 1, 1) + assert_equal(hash(ut(2**(i - 1))), hash(2**(i - 1)), + err_msg="%r: 2**%d" % (ut, i - 1)) + assert_equal(hash(ut(2**i - 1)), hash(2**i - 1), + err_msg="%r: 2**%d - 1" % (ut, i)) + + +class TestAttributes: + def setup_method(self): + self.one = np.arange(10) + self.two = np.arange(20).reshape(4, 5) + self.three = np.arange(60, dtype=np.float64).reshape(2, 5, 6) + + def test_attributes(self): + assert_equal(self.one.shape, (10,)) + assert_equal(self.two.shape, (4, 5)) + assert_equal(self.three.shape, (2, 5, 6)) + self.three.shape = (10, 3, 2) + assert_equal(self.three.shape, (10, 3, 2)) + self.three.shape = (2, 5, 6) + assert_equal(self.one.strides, (self.one.itemsize,)) + num = self.two.itemsize + assert_equal(self.two.strides, (5*num, num)) + num = self.three.itemsize + assert_equal(self.three.strides, (30*num, 6*num, num)) + assert_equal(self.one.ndim, 1) + assert_equal(self.two.ndim, 2) + assert_equal(self.three.ndim, 3) + num = self.two.itemsize + assert_equal(self.two.size, 20) + assert_equal(self.two.nbytes, 20*num) + assert_equal(self.two.itemsize, self.two.dtype.itemsize) + assert_equal(self.two.base, np.arange(20)) + + def test_dtypeattr(self): + assert_equal(self.one.dtype, np.dtype(np.int_)) + assert_equal(self.three.dtype, np.dtype(np.float64)) + assert_equal(self.one.dtype.char, np.dtype(int).char) + assert self.one.dtype.char in "lq" + assert_equal(self.three.dtype.char, 'd') + assert_(self.three.dtype.str[0] in '<>') + assert_equal(self.one.dtype.str[1], 'i') + assert_equal(self.three.dtype.str[1], 'f') + + def test_int_subclassing(self): + # Regression test for https://github.com/numpy/numpy/pull/3526 + + numpy_int = np.int_(0) + + # int_ doesn't inherit from Python int, because it's not fixed-width + assert_(not isinstance(numpy_int, int)) + + def test_stridesattr(self): + x = self.one + + def make_array(size, offset, strides): + return np.ndarray(size, buffer=x, dtype=int, + offset=offset*x.itemsize, + strides=strides*x.itemsize) + + assert_equal(make_array(4, 4, -1), np.array([4, 3, 2, 1])) + assert_raises(ValueError, make_array, 4, 4, -2) + assert_raises(ValueError, make_array, 4, 2, -1) + assert_raises(ValueError, make_array, 8, 3, 1) + assert_equal(make_array(8, 3, 0), np.array([3]*8)) + # Check behavior reported in gh-2503: + assert_raises(ValueError, make_array, (2, 3), 5, np.array([-2, -3])) + make_array(0, 0, 10) + + def test_set_stridesattr(self): + x = self.one + + def make_array(size, offset, strides): + try: + r = np.ndarray([size], dtype=int, buffer=x, + offset=offset*x.itemsize) + except Exception as e: + raise RuntimeError(e) + r.strides = strides = strides*x.itemsize + return r + + assert_equal(make_array(4, 4, -1), np.array([4, 3, 2, 1])) + assert_equal(make_array(7, 3, 1), np.array([3, 4, 5, 6, 7, 8, 9])) + assert_raises(ValueError, make_array, 4, 4, -2) + assert_raises(ValueError, make_array, 4, 2, -1) + assert_raises(RuntimeError, make_array, 8, 3, 1) + # Check that the true extent of the array is used. + # Test relies on as_strided base not exposing a buffer. + x = np.lib.stride_tricks.as_strided(np.arange(1), (10, 10), (0, 0)) + + def set_strides(arr, strides): + arr.strides = strides + + assert_raises(ValueError, set_strides, x, (10*x.itemsize, x.itemsize)) + + # Test for offset calculations: + x = np.lib.stride_tricks.as_strided(np.arange(10, dtype=np.int8)[-1], + shape=(10,), strides=(-1,)) + assert_raises(ValueError, set_strides, x[::-1], -1) + a = x[::-1] + a.strides = 1 + a[::2].strides = 2 + + # test 0d + arr_0d = np.array(0) + arr_0d.strides = () + assert_raises(TypeError, set_strides, arr_0d, None) + + def test_fill(self): + for t in "?bhilqpBHILQPfdgFDGO": + x = np.empty((3, 2, 1), t) + y = np.empty((3, 2, 1), t) + x.fill(1) + y[...] = 1 + assert_equal(x, y) + + def test_fill_max_uint64(self): + x = np.empty((3, 2, 1), dtype=np.uint64) + y = np.empty((3, 2, 1), dtype=np.uint64) + value = 2**64 - 1 + y[...] = value + x.fill(value) + assert_array_equal(x, y) + + def test_fill_struct_array(self): + # Filling from a scalar + x = np.array([(0, 0.0), (1, 1.0)], dtype='i4,f8') + x.fill(x[0]) + assert_equal(x['f1'][1], x['f1'][0]) + # Filling from a tuple that can be converted + # to a scalar + x = np.zeros(2, dtype=[('a', 'f8'), ('b', 'i4')]) + x.fill((3.5, -2)) + assert_array_equal(x['a'], [3.5, 3.5]) + assert_array_equal(x['b'], [-2, -2]) + + def test_fill_readonly(self): + # gh-22922 + a = np.zeros(11) + a.setflags(write=False) + with pytest.raises(ValueError, match=".*read-only"): + a.fill(0) + + def test_fill_subarrays(self): + # NOTE: + # This is also a regression test for a crash with PYTHONMALLOC=debug + + dtype = np.dtype("2i4')) + assert_(np.dtype([('a', 'i4')])) + + def test_structured_non_void(self): + fields = [('a', 'i8'), ('b', 'f8')]) + assert_equal(a == b, [False, True]) + assert_equal(a != b, [True, False]) + + a = np.array([(5, 42), (10, 1)], dtype=[('a', '>f8'), ('b', 'i8')]) + assert_equal(a == b, [False, True]) + assert_equal(a != b, [True, False]) + + # Including with embedded subarray dtype (although subarray comparison + # itself may still be a bit weird and compare the raw data) + a = np.array([(5, 42), (10, 1)], dtype=[('a', '10>f8'), ('b', '5i8')]) + assert_equal(a == b, [False, True]) + assert_equal(a != b, [True, False]) + + @pytest.mark.parametrize("op", [ + operator.eq, lambda x, y: operator.eq(y, x), + operator.ne, lambda x, y: operator.ne(y, x)]) + def test_void_comparison_failures(self, op): + # In principle, one could decide to return an array of False for some + # if comparisons are impossible. But right now we return TypeError + # when "void" dtype are involved. + x = np.zeros(3, dtype=[('a', 'i1')]) + y = np.zeros(3) + # Cannot compare non-structured to structured: + with pytest.raises(TypeError): + op(x, y) + + # Added title prevents promotion, but casts are OK: + y = np.zeros(3, dtype=[(('title', 'a'), 'i1')]) + assert np.can_cast(y.dtype, x.dtype) + with pytest.raises(TypeError): + op(x, y) + + x = np.zeros(3, dtype="V7") + y = np.zeros(3, dtype="V8") + with pytest.raises(TypeError): + op(x, y) + + def test_casting(self): + # Check that casting a structured array to change its byte order + # works + a = np.array([(1,)], dtype=[('a', 'i4')], casting='unsafe')) + b = a.astype([('a', '>i4')]) + a_tmp = a.byteswap() + a_tmp = a_tmp.view(a_tmp.dtype.newbyteorder()) + assert_equal(b, a_tmp) + assert_equal(a['a'][0], b['a'][0]) + + # Check that equality comparison works on structured arrays if + # they are 'equiv'-castable + a = np.array([(5, 42), (10, 1)], dtype=[('a', '>i4'), ('b', 'f8')]) + assert_(np.can_cast(a.dtype, b.dtype, casting='equiv')) + assert_equal(a == b, [True, True]) + + # Check that 'equiv' casting can change byte order + assert_(np.can_cast(a.dtype, b.dtype, casting='equiv')) + c = a.astype(b.dtype, casting='equiv') + assert_equal(a == c, [True, True]) + + # Check that 'safe' casting can change byte order and up-cast + # fields + t = [('a', 'f8')] + assert_(np.can_cast(a.dtype, t, casting='safe')) + c = a.astype(t, casting='safe') + assert_equal((c == np.array([(5, 42), (10, 1)], dtype=t)), + [True, True]) + + # Check that 'same_kind' casting can change byte order and + # change field widths within a "kind" + t = [('a', 'f4')] + assert_(np.can_cast(a.dtype, t, casting='same_kind')) + c = a.astype(t, casting='same_kind') + assert_equal((c == np.array([(5, 42), (10, 1)], dtype=t)), + [True, True]) + + # Check that casting fails if the casting rule should fail on + # any of the fields + t = [('a', '>i8'), ('b', 'i2'), ('b', 'i8'), ('b', 'i4')] + assert_(not np.can_cast(a.dtype, t, casting=casting)) + t = [('a', '>i4'), ('b', 'i8") + ab = np.array([(1, 2)], dtype=[A, B]) + ba = np.array([(1, 2)], dtype=[B, A]) + assert_raises(TypeError, np.concatenate, ab, ba) + assert_raises(TypeError, np.result_type, ab.dtype, ba.dtype) + assert_raises(TypeError, np.promote_types, ab.dtype, ba.dtype) + + # dtypes with same field names/order but different memory offsets + # and byte-order are promotable to packed nbo. + assert_equal(np.promote_types(ab.dtype, ba[['a', 'b']].dtype), + repack_fields(ab.dtype.newbyteorder('N'))) + + # gh-13667 + # dtypes with different fieldnames but castable field types are castable + assert_equal(np.can_cast(ab.dtype, ba.dtype), True) + assert_equal(ab.astype(ba.dtype).dtype, ba.dtype) + assert_equal(np.can_cast('f8,i8', [('f0', 'f8'), ('f1', 'i8')]), True) + assert_equal(np.can_cast('f8,i8', [('f1', 'f8'), ('f0', 'i8')]), True) + assert_equal(np.can_cast('f8,i8', [('f1', 'i8'), ('f0', 'f8')]), False) + assert_equal(np.can_cast('f8,i8', [('f1', 'i8'), ('f0', 'f8')], + casting='unsafe'), True) + + ab[:] = ba # make sure assignment still works + + # tests of type-promotion of corresponding fields + dt1 = np.dtype([("", "i4")]) + dt2 = np.dtype([("", "i8")]) + assert_equal(np.promote_types(dt1, dt2), np.dtype([('f0', 'i8')])) + assert_equal(np.promote_types(dt2, dt1), np.dtype([('f0', 'i8')])) + assert_raises(TypeError, np.promote_types, dt1, np.dtype([("", "V3")])) + assert_equal(np.promote_types('i4,f8', 'i8,f4'), + np.dtype([('f0', 'i8'), ('f1', 'f8')])) + # test nested case + dt1nest = np.dtype([("", dt1)]) + dt2nest = np.dtype([("", dt2)]) + assert_equal(np.promote_types(dt1nest, dt2nest), + np.dtype([('f0', np.dtype([('f0', 'i8')]))])) + + # note that offsets are lost when promoting: + dt = np.dtype({'names': ['x'], 'formats': ['i4'], 'offsets': [8]}) + a = np.ones(3, dtype=dt) + assert_equal(np.concatenate([a, a]).dtype, np.dtype([('x', 'i4')])) + + @pytest.mark.parametrize("dtype_dict", [ + dict(names=["a", "b"], formats=["i4", "f"], itemsize=100), + dict(names=["a", "b"], formats=["i4", "f"], + offsets=[0, 12])]) + @pytest.mark.parametrize("align", [True, False]) + def test_structured_promotion_packs(self, dtype_dict, align): + # Structured dtypes are packed when promoted (we consider the packed + # form to be "canonical"), so tere is no extra padding. + dtype = np.dtype(dtype_dict, align=align) + # Remove non "canonical" dtype options: + dtype_dict.pop("itemsize", None) + dtype_dict.pop("offsets", None) + expected = np.dtype(dtype_dict, align=align) + + res = np.promote_types(dtype, dtype) + assert res.itemsize == expected.itemsize + assert res.fields == expected.fields + + # But the "expected" one, should just be returned unchanged: + res = np.promote_types(expected, expected) + assert res is expected + + def test_structured_asarray_is_view(self): + # A scalar viewing an array preserves its view even when creating a + # new array. This test documents behaviour, it may not be the best + # desired behaviour. + arr = np.array([1], dtype="i,i") + scalar = arr[0] + assert not scalar.flags.owndata # view into the array + assert np.asarray(scalar).base is scalar + # But never when a dtype is passed in: + assert np.asarray(scalar, dtype=scalar.dtype).base is None + # A scalar which owns its data does not have this property. + # It is not easy to create one, one method is to use pickle: + scalar = pickle.loads(pickle.dumps(scalar)) + assert scalar.flags.owndata + assert np.asarray(scalar).base is None + +class TestBool: + def test_test_interning(self): + a0 = np.bool(0) + b0 = np.bool(False) + assert_(a0 is b0) + a1 = np.bool(1) + b1 = np.bool(True) + assert_(a1 is b1) + assert_(np.array([True])[0] is a1) + assert_(np.array(True)[()] is a1) + + def test_sum(self): + d = np.ones(101, dtype=bool) + assert_equal(d.sum(), d.size) + assert_equal(d[::2].sum(), d[::2].size) + assert_equal(d[::-2].sum(), d[::-2].size) + + d = np.frombuffer(b'\xff\xff' * 100, dtype=bool) + assert_equal(d.sum(), d.size) + assert_equal(d[::2].sum(), d[::2].size) + assert_equal(d[::-2].sum(), d[::-2].size) + + def check_count_nonzero(self, power, length): + powers = [2 ** i for i in range(length)] + for i in range(2**power): + l = [(i & x) != 0 for x in powers] + a = np.array(l, dtype=bool) + c = builtins.sum(l) + assert_equal(np.count_nonzero(a), c) + av = a.view(np.uint8) + av *= 3 + assert_equal(np.count_nonzero(a), c) + av *= 4 + assert_equal(np.count_nonzero(a), c) + av[av != 0] = 0xFF + assert_equal(np.count_nonzero(a), c) + + def test_count_nonzero(self): + # check all 12 bit combinations in a length 17 array + # covers most cases of the 16 byte unrolled code + self.check_count_nonzero(12, 17) + + @pytest.mark.slow + def test_count_nonzero_all(self): + # check all combinations in a length 17 array + # covers all cases of the 16 byte unrolled code + self.check_count_nonzero(17, 17) + + def test_count_nonzero_unaligned(self): + # prevent mistakes as e.g. gh-4060 + for o in range(7): + a = np.zeros((18,), dtype=bool)[o+1:] + a[:o] = True + assert_equal(np.count_nonzero(a), builtins.sum(a.tolist())) + a = np.ones((18,), dtype=bool)[o+1:] + a[:o] = False + assert_equal(np.count_nonzero(a), builtins.sum(a.tolist())) + + def _test_cast_from_flexible(self, dtype): + # empty string -> false + for n in range(3): + v = np.array(b'', (dtype, n)) + assert_equal(bool(v), False) + assert_equal(bool(v[()]), False) + assert_equal(v.astype(bool), False) + assert_(isinstance(v.astype(bool), np.ndarray)) + assert_(v[()].astype(bool) is np.False_) + + # anything else -> true + for n in range(1, 4): + for val in [b'a', b'0', b' ']: + v = np.array(val, (dtype, n)) + assert_equal(bool(v), True) + assert_equal(bool(v[()]), True) + assert_equal(v.astype(bool), True) + assert_(isinstance(v.astype(bool), np.ndarray)) + assert_(v[()].astype(bool) is np.True_) + + def test_cast_from_void(self): + self._test_cast_from_flexible(np.void) + + @pytest.mark.xfail(reason="See gh-9847") + def test_cast_from_unicode(self): + self._test_cast_from_flexible(np.str_) + + @pytest.mark.xfail(reason="See gh-9847") + def test_cast_from_bytes(self): + self._test_cast_from_flexible(np.bytes_) + + +class TestZeroSizeFlexible: + @staticmethod + def _zeros(shape, dtype=str): + dtype = np.dtype(dtype) + if dtype == np.void: + return np.zeros(shape, dtype=(dtype, 0)) + + # not constructable directly + dtype = np.dtype([('x', dtype, 0)]) + return np.zeros(shape, dtype=dtype)['x'] + + def test_create(self): + zs = self._zeros(10, bytes) + assert_equal(zs.itemsize, 0) + zs = self._zeros(10, np.void) + assert_equal(zs.itemsize, 0) + zs = self._zeros(10, str) + assert_equal(zs.itemsize, 0) + + def _test_sort_partition(self, name, kinds, **kwargs): + # Previously, these would all hang + for dt in [bytes, np.void, str]: + zs = self._zeros(10, dt) + sort_method = getattr(zs, name) + sort_func = getattr(np, name) + for kind in kinds: + sort_method(kind=kind, **kwargs) + sort_func(zs, kind=kind, **kwargs) + + def test_sort(self): + self._test_sort_partition('sort', kinds='qhs') + + def test_argsort(self): + self._test_sort_partition('argsort', kinds='qhs') + + def test_partition(self): + self._test_sort_partition('partition', kinds=['introselect'], kth=2) + + def test_argpartition(self): + self._test_sort_partition('argpartition', kinds=['introselect'], kth=2) + + def test_resize(self): + # previously an error + for dt in [bytes, np.void, str]: + zs = self._zeros(10, dt) + zs.resize(25) + zs.resize((10, 10)) + + def test_view(self): + for dt in [bytes, np.void, str]: + zs = self._zeros(10, dt) + + # viewing as itself should be allowed + assert_equal(zs.view(dt).dtype, np.dtype(dt)) + + # viewing as any non-empty type gives an empty result + assert_equal(zs.view((dt, 1)).shape, (0,)) + + def test_dumps(self): + zs = self._zeros(10, int) + assert_equal(zs, pickle.loads(zs.dumps())) + + def test_pickle(self): + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + for dt in [bytes, np.void, str]: + zs = self._zeros(10, dt) + p = pickle.dumps(zs, protocol=proto) + zs2 = pickle.loads(p) + + assert_equal(zs.dtype, zs2.dtype) + + def test_pickle_empty(self): + """Checking if an empty array pickled and un-pickled will not cause a + segmentation fault""" + arr = np.array([]).reshape(999999, 0) + pk_dmp = pickle.dumps(arr) + pk_load = pickle.loads(pk_dmp) + + assert pk_load.size == 0 + + @pytest.mark.skipif(pickle.HIGHEST_PROTOCOL < 5, + reason="requires pickle protocol 5") + def test_pickle_with_buffercallback(self): + array = np.arange(10) + buffers = [] + bytes_string = pickle.dumps(array, buffer_callback=buffers.append, + protocol=5) + array_from_buffer = pickle.loads(bytes_string, buffers=buffers) + # when using pickle protocol 5 with buffer callbacks, + # array_from_buffer is reconstructed from a buffer holding a view + # to the initial array's data, so modifying an element in array + # should modify it in array_from_buffer too. + array[0] = -1 + assert array_from_buffer[0] == -1, array_from_buffer[0] + + +class TestMethods: + + sort_kinds = ['quicksort', 'heapsort', 'stable'] + + def test_all_where(self): + a = np.array([[True, False, True], + [False, False, False], + [True, True, True]]) + wh_full = np.array([[True, False, True], + [False, False, False], + [True, False, True]]) + wh_lower = np.array([[False], + [False], + [True]]) + for _ax in [0, None]: + assert_equal(a.all(axis=_ax, where=wh_lower), + np.all(a[wh_lower[:,0],:], axis=_ax)) + assert_equal(np.all(a, axis=_ax, where=wh_lower), + a[wh_lower[:,0],:].all(axis=_ax)) + + assert_equal(a.all(where=wh_full), True) + assert_equal(np.all(a, where=wh_full), True) + assert_equal(a.all(where=False), True) + assert_equal(np.all(a, where=False), True) + + def test_any_where(self): + a = np.array([[True, False, True], + [False, False, False], + [True, True, True]]) + wh_full = np.array([[False, True, False], + [True, True, True], + [False, False, False]]) + wh_middle = np.array([[False], + [True], + [False]]) + for _ax in [0, None]: + assert_equal(a.any(axis=_ax, where=wh_middle), + np.any(a[wh_middle[:,0],:], axis=_ax)) + assert_equal(np.any(a, axis=_ax, where=wh_middle), + a[wh_middle[:,0],:].any(axis=_ax)) + assert_equal(a.any(where=wh_full), False) + assert_equal(np.any(a, where=wh_full), False) + assert_equal(a.any(where=False), False) + assert_equal(np.any(a, where=False), False) + + @pytest.mark.parametrize("dtype", + ["i8", "U10", "object", "datetime64[ms]"]) + def test_any_and_all_result_dtype(self, dtype): + arr = np.ones(3, dtype=dtype) + assert arr.any().dtype == np.bool + assert arr.all().dtype == np.bool + + def test_any_and_all_object_dtype(self): + # (seberg) Not sure we should even allow dtype here, but it is. + arr = np.ones(3, dtype=object) + # keepdims to prevent getting a scalar. + assert arr.any(dtype=object, keepdims=True).dtype == object + assert arr.all(dtype=object, keepdims=True).dtype == object + + def test_compress(self): + tgt = [[5, 6, 7, 8, 9]] + arr = np.arange(10).reshape(2, 5) + out = arr.compress([0, 1], axis=0) + assert_equal(out, tgt) + + tgt = [[1, 3], [6, 8]] + out = arr.compress([0, 1, 0, 1, 0], axis=1) + assert_equal(out, tgt) + + tgt = [[1], [6]] + arr = np.arange(10).reshape(2, 5) + out = arr.compress([0, 1], axis=1) + assert_equal(out, tgt) + + arr = np.arange(10).reshape(2, 5) + out = arr.compress([0, 1]) + assert_equal(out, 1) + + def test_choose(self): + x = 2*np.ones((3,), dtype=int) + y = 3*np.ones((3,), dtype=int) + x2 = 2*np.ones((2, 3), dtype=int) + y2 = 3*np.ones((2, 3), dtype=int) + ind = np.array([0, 0, 1]) + + A = ind.choose((x, y)) + assert_equal(A, [2, 2, 3]) + + A = ind.choose((x2, y2)) + assert_equal(A, [[2, 2, 3], [2, 2, 3]]) + + A = ind.choose((x, y2)) + assert_equal(A, [[2, 2, 3], [2, 2, 3]]) + + oned = np.ones(1) + # gh-12031, caused SEGFAULT + assert_raises(TypeError, oned.choose,np.void(0), [oned]) + + out = np.array(0) + ret = np.choose(np.array(1), [10, 20, 30], out=out) + assert out is ret + assert_equal(out[()], 20) + + # gh-6272 check overlap on out + x = np.arange(5) + y = np.choose([0,0,0], [x[:3], x[:3], x[:3]], out=x[1:4], mode='wrap') + assert_equal(y, np.array([0, 1, 2])) + + def test_prod(self): + ba = [1, 2, 10, 11, 6, 5, 4] + ba2 = [[1, 2, 3, 4], [5, 6, 7, 9], [10, 3, 4, 5]] + + for ctype in [np.int16, np.uint16, np.int32, np.uint32, + np.float32, np.float64, np.complex64, np.complex128]: + a = np.array(ba, ctype) + a2 = np.array(ba2, ctype) + if ctype in ['1', 'b']: + assert_raises(ArithmeticError, a.prod) + assert_raises(ArithmeticError, a2.prod, axis=1) + else: + assert_equal(a.prod(axis=0), 26400) + assert_array_equal(a2.prod(axis=0), + np.array([50, 36, 84, 180], ctype)) + assert_array_equal(a2.prod(axis=-1), + np.array([24, 1890, 600], ctype)) + + @pytest.mark.parametrize('dtype', [None, object]) + def test_repeat(self, dtype): + m = np.array([1, 2, 3, 4, 5, 6], dtype=dtype) + m_rect = m.reshape((2, 3)) + + A = m.repeat([1, 3, 2, 1, 1, 2]) + assert_equal(A, [1, 2, 2, 2, 3, + 3, 4, 5, 6, 6]) + + A = m.repeat(2) + assert_equal(A, [1, 1, 2, 2, 3, 3, + 4, 4, 5, 5, 6, 6]) + + A = m_rect.repeat([2, 1], axis=0) + assert_equal(A, [[1, 2, 3], + [1, 2, 3], + [4, 5, 6]]) + + A = m_rect.repeat([1, 3, 2], axis=1) + assert_equal(A, [[1, 2, 2, 2, 3, 3], + [4, 5, 5, 5, 6, 6]]) + + A = m_rect.repeat(2, axis=0) + assert_equal(A, [[1, 2, 3], + [1, 2, 3], + [4, 5, 6], + [4, 5, 6]]) + + A = m_rect.repeat(2, axis=1) + assert_equal(A, [[1, 1, 2, 2, 3, 3], + [4, 4, 5, 5, 6, 6]]) + + def test_reshape(self): + arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]) + + tgt = [[1, 2, 3, 4, 5, 6], [7, 8, 9, 10, 11, 12]] + assert_equal(arr.reshape(2, 6), tgt) + + tgt = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]] + assert_equal(arr.reshape(3, 4), tgt) + + tgt = [[1, 10, 8, 6], [4, 2, 11, 9], [7, 5, 3, 12]] + assert_equal(arr.reshape((3, 4), order='F'), tgt) + + tgt = [[1, 4, 7, 10], [2, 5, 8, 11], [3, 6, 9, 12]] + assert_equal(arr.T.reshape((3, 4), order='C'), tgt) + + def test_round(self): + def check_round(arr, expected, *round_args): + assert_equal(arr.round(*round_args), expected) + # With output array + out = np.zeros_like(arr) + res = arr.round(*round_args, out=out) + assert_equal(out, expected) + assert out is res + + check_round(np.array([1.2, 1.5]), [1, 2]) + check_round(np.array(1.5), 2) + check_round(np.array([12.2, 15.5]), [10, 20], -1) + check_round(np.array([12.15, 15.51]), [12.2, 15.5], 1) + # Complex rounding + check_round(np.array([4.5 + 1.5j]), [4 + 2j]) + check_round(np.array([12.5 + 15.5j]), [10 + 20j], -1) + + def test_squeeze(self): + a = np.array([[[1], [2], [3]]]) + assert_equal(a.squeeze(), [1, 2, 3]) + assert_equal(a.squeeze(axis=(0,)), [[1], [2], [3]]) + assert_raises(ValueError, a.squeeze, axis=(1,)) + assert_equal(a.squeeze(axis=(2,)), [[1, 2, 3]]) + + def test_transpose(self): + a = np.array([[1, 2], [3, 4]]) + assert_equal(a.transpose(), [[1, 3], [2, 4]]) + assert_raises(ValueError, lambda: a.transpose(0)) + assert_raises(ValueError, lambda: a.transpose(0, 0)) + assert_raises(ValueError, lambda: a.transpose(0, 1, 2)) + + def test_sort(self): + # test ordering for floats and complex containing nans. It is only + # necessary to check the less-than comparison, so sorts that + # only follow the insertion sort path are sufficient. We only + # test doubles and complex doubles as the logic is the same. + + # check doubles + msg = "Test real sort order with nans" + a = np.array([np.nan, 1, 0]) + b = np.sort(a) + assert_equal(b, a[::-1], msg) + # check complex + msg = "Test complex sort order with nans" + a = np.zeros(9, dtype=np.complex128) + a.real += [np.nan, np.nan, np.nan, 1, 0, 1, 1, 0, 0] + a.imag += [np.nan, 1, 0, np.nan, np.nan, 1, 0, 1, 0] + b = np.sort(a) + assert_equal(b, a[::-1], msg) + + with assert_raises_regex( + ValueError, + "kind` and `stable` parameters can't be provided at the same time" + ): + np.sort(a, kind="stable", stable=True) + + # all c scalar sorts use the same code with different types + # so it suffices to run a quick check with one type. The number + # of sorted items must be greater than ~50 to check the actual + # algorithm because quick and merge sort fall over to insertion + # sort for small arrays. + + @pytest.mark.parametrize('dtype', [np.uint8, np.uint16, np.uint32, np.uint64, + np.float16, np.float32, np.float64, + np.longdouble]) + def test_sort_unsigned(self, dtype): + a = np.arange(101, dtype=dtype) + b = a[::-1].copy() + for kind in self.sort_kinds: + msg = "scalar sort, kind=%s" % kind + c = a.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + c = b.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + + @pytest.mark.parametrize('dtype', + [np.int8, np.int16, np.int32, np.int64, np.float16, + np.float32, np.float64, np.longdouble]) + def test_sort_signed(self, dtype): + a = np.arange(-50, 51, dtype=dtype) + b = a[::-1].copy() + for kind in self.sort_kinds: + msg = "scalar sort, kind=%s" % (kind) + c = a.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + c = b.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + + @pytest.mark.parametrize('dtype', [np.float32, np.float64, np.longdouble]) + @pytest.mark.parametrize('part', ['real', 'imag']) + def test_sort_complex(self, part, dtype): + # test complex sorts. These use the same code as the scalars + # but the compare function differs. + cdtype = { + np.single: np.csingle, + np.double: np.cdouble, + np.longdouble: np.clongdouble, + }[dtype] + a = np.arange(-50, 51, dtype=dtype) + b = a[::-1].copy() + ai = (a * (1+1j)).astype(cdtype) + bi = (b * (1+1j)).astype(cdtype) + setattr(ai, part, 1) + setattr(bi, part, 1) + for kind in self.sort_kinds: + msg = "complex sort, %s part == 1, kind=%s" % (part, kind) + c = ai.copy() + c.sort(kind=kind) + assert_equal(c, ai, msg) + c = bi.copy() + c.sort(kind=kind) + assert_equal(c, ai, msg) + + def test_sort_complex_byte_swapping(self): + # test sorting of complex arrays requiring byte-swapping, gh-5441 + for endianness in '<>': + for dt in np.typecodes['Complex']: + arr = np.array([1+3.j, 2+2.j, 3+1.j], dtype=endianness + dt) + c = arr.copy() + c.sort() + msg = 'byte-swapped complex sort, dtype={0}'.format(dt) + assert_equal(c, arr, msg) + + @pytest.mark.parametrize('dtype', [np.bytes_, np.str_]) + def test_sort_string(self, dtype): + # np.array will perform the encoding to bytes for us in the bytes test + a = np.array(['aaaaaaaa' + chr(i) for i in range(101)], dtype=dtype) + b = a[::-1].copy() + for kind in self.sort_kinds: + msg = "kind=%s" % kind + c = a.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + c = b.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + + def test_sort_object(self): + # test object array sorts. + a = np.empty((101,), dtype=object) + a[:] = list(range(101)) + b = a[::-1] + for kind in ['q', 'h', 'm']: + msg = "kind=%s" % kind + c = a.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + c = b.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + + @pytest.mark.parametrize("dt", [ + np.dtype([('f', float), ('i', int)]), + np.dtype([('f', float), ('i', object)])]) + @pytest.mark.parametrize("step", [1, 2]) + def test_sort_structured(self, dt, step): + # test record array sorts. + a = np.array([(i, i) for i in range(101*step)], dtype=dt) + b = a[::-1] + for kind in ['q', 'h', 'm']: + msg = "kind=%s" % kind + c = a.copy()[::step] + indx = c.argsort(kind=kind) + c.sort(kind=kind) + assert_equal(c, a[::step], msg) + assert_equal(a[::step][indx], a[::step], msg) + c = b.copy()[::step] + indx = c.argsort(kind=kind) + c.sort(kind=kind) + assert_equal(c, a[step-1::step], msg) + assert_equal(b[::step][indx], a[step-1::step], msg) + + @pytest.mark.parametrize('dtype', ['datetime64[D]', 'timedelta64[D]']) + def test_sort_time(self, dtype): + # test datetime64 and timedelta64 sorts. + a = np.arange(0, 101, dtype=dtype) + b = a[::-1] + for kind in ['q', 'h', 'm']: + msg = "kind=%s" % kind + c = a.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + c = b.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + + def test_sort_axis(self): + # check axis handling. This should be the same for all type + # specific sorts, so we only check it for one type and one kind + a = np.array([[3, 2], [1, 0]]) + b = np.array([[1, 0], [3, 2]]) + c = np.array([[2, 3], [0, 1]]) + d = a.copy() + d.sort(axis=0) + assert_equal(d, b, "test sort with axis=0") + d = a.copy() + d.sort(axis=1) + assert_equal(d, c, "test sort with axis=1") + d = a.copy() + d.sort() + assert_equal(d, c, "test sort with default axis") + + def test_sort_size_0(self): + # check axis handling for multidimensional empty arrays + a = np.array([]) + a.shape = (3, 2, 1, 0) + for axis in range(-a.ndim, a.ndim): + msg = 'test empty array sort with axis={0}'.format(axis) + assert_equal(np.sort(a, axis=axis), a, msg) + msg = 'test empty array sort with axis=None' + assert_equal(np.sort(a, axis=None), a.ravel(), msg) + + def test_sort_bad_ordering(self): + # test generic class with bogus ordering, + # should not segfault. + class Boom: + def __lt__(self, other): + return True + + a = np.array([Boom()] * 100, dtype=object) + for kind in self.sort_kinds: + msg = "kind=%s" % kind + c = a.copy() + c.sort(kind=kind) + assert_equal(c, a, msg) + + def test_void_sort(self): + # gh-8210 - previously segfaulted + for i in range(4): + rand = np.random.randint(256, size=4000, dtype=np.uint8) + arr = rand.view('V4') + arr[::-1].sort() + + dt = np.dtype([('val', 'i4', (1,))]) + for i in range(4): + rand = np.random.randint(256, size=4000, dtype=np.uint8) + arr = rand.view(dt) + arr[::-1].sort() + + def test_sort_raises(self): + #gh-9404 + arr = np.array([0, datetime.now(), 1], dtype=object) + for kind in self.sort_kinds: + assert_raises(TypeError, arr.sort, kind=kind) + #gh-3879 + class Raiser: + def raises_anything(*args, **kwargs): + raise TypeError("SOMETHING ERRORED") + __eq__ = __ne__ = __lt__ = __gt__ = __ge__ = __le__ = raises_anything + arr = np.array([[Raiser(), n] for n in range(10)]).reshape(-1) + np.random.shuffle(arr) + for kind in self.sort_kinds: + assert_raises(TypeError, arr.sort, kind=kind) + + def test_sort_degraded(self): + # test degraded dataset would take minutes to run with normal qsort + d = np.arange(1000000) + do = d.copy() + x = d + # create a median of 3 killer where each median is the sorted second + # last element of the quicksort partition + while x.size > 3: + mid = x.size // 2 + x[mid], x[-2] = x[-2], x[mid] + x = x[:-2] + + assert_equal(np.sort(d), do) + assert_equal(d[np.argsort(d)], do) + + def test_copy(self): + def assert_fortran(arr): + assert_(arr.flags.fortran) + assert_(arr.flags.f_contiguous) + assert_(not arr.flags.c_contiguous) + + def assert_c(arr): + assert_(not arr.flags.fortran) + assert_(not arr.flags.f_contiguous) + assert_(arr.flags.c_contiguous) + + a = np.empty((2, 2), order='F') + # Test copying a Fortran array + assert_c(a.copy()) + assert_c(a.copy('C')) + assert_fortran(a.copy('F')) + assert_fortran(a.copy('A')) + + # Now test starting with a C array. + a = np.empty((2, 2), order='C') + assert_c(a.copy()) + assert_c(a.copy('C')) + assert_fortran(a.copy('F')) + assert_c(a.copy('A')) + + @pytest.mark.parametrize("dtype", ['O', np.int32, 'i,O']) + def test__deepcopy__(self, dtype): + # Force the entry of NULLs into array + a = np.empty(4, dtype=dtype) + ctypes.memset(a.ctypes.data, 0, a.nbytes) + + # Ensure no error is raised, see gh-21833 + b = a.__deepcopy__({}) + + a[0] = 42 + with pytest.raises(AssertionError): + assert_array_equal(a, b) + + def test__deepcopy__catches_failure(self): + class MyObj: + def __deepcopy__(self, *args, **kwargs): + raise RuntimeError + + arr = np.array([1, MyObj(), 3], dtype='O') + with pytest.raises(RuntimeError): + arr.__deepcopy__({}) + + def test_sort_order(self): + # Test sorting an array with fields + x1 = np.array([21, 32, 14]) + x2 = np.array(['my', 'first', 'name']) + x3 = np.array([3.1, 4.5, 6.2]) + r = np.rec.fromarrays([x1, x2, x3], names='id,word,number') + + r.sort(order=['id']) + assert_equal(r.id, np.array([14, 21, 32])) + assert_equal(r.word, np.array(['name', 'my', 'first'])) + assert_equal(r.number, np.array([6.2, 3.1, 4.5])) + + r.sort(order=['word']) + assert_equal(r.id, np.array([32, 21, 14])) + assert_equal(r.word, np.array(['first', 'my', 'name'])) + assert_equal(r.number, np.array([4.5, 3.1, 6.2])) + + r.sort(order=['number']) + assert_equal(r.id, np.array([21, 32, 14])) + assert_equal(r.word, np.array(['my', 'first', 'name'])) + assert_equal(r.number, np.array([3.1, 4.5, 6.2])) + + assert_raises_regex(ValueError, 'duplicate', + lambda: r.sort(order=['id', 'id'])) + + if sys.byteorder == 'little': + strtype = '>i2' + else: + strtype = '': + for dt in np.typecodes['Complex']: + arr = np.array([1+3.j, 2+2.j, 3+1.j], dtype=endianness + dt) + msg = 'byte-swapped complex argsort, dtype={0}'.format(dt) + assert_equal(arr.argsort(), + np.arange(len(arr), dtype=np.intp), msg) + + # test string argsorts. + s = 'aaaaaaaa' + a = np.array([s + chr(i) for i in range(101)]) + b = a[::-1].copy() + r = np.arange(101) + rr = r[::-1] + for kind in self.sort_kinds: + msg = "string argsort, kind=%s" % kind + assert_equal(a.copy().argsort(kind=kind), r, msg) + assert_equal(b.copy().argsort(kind=kind), rr, msg) + + # test unicode argsorts. + s = 'aaaaaaaa' + a = np.array([s + chr(i) for i in range(101)], dtype=np.str_) + b = a[::-1] + r = np.arange(101) + rr = r[::-1] + for kind in self.sort_kinds: + msg = "unicode argsort, kind=%s" % kind + assert_equal(a.copy().argsort(kind=kind), r, msg) + assert_equal(b.copy().argsort(kind=kind), rr, msg) + + # test object array argsorts. + a = np.empty((101,), dtype=object) + a[:] = list(range(101)) + b = a[::-1] + r = np.arange(101) + rr = r[::-1] + for kind in self.sort_kinds: + msg = "object argsort, kind=%s" % kind + assert_equal(a.copy().argsort(kind=kind), r, msg) + assert_equal(b.copy().argsort(kind=kind), rr, msg) + + # test structured array argsorts. + dt = np.dtype([('f', float), ('i', int)]) + a = np.array([(i, i) for i in range(101)], dtype=dt) + b = a[::-1] + r = np.arange(101) + rr = r[::-1] + for kind in self.sort_kinds: + msg = "structured array argsort, kind=%s" % kind + assert_equal(a.copy().argsort(kind=kind), r, msg) + assert_equal(b.copy().argsort(kind=kind), rr, msg) + + # test datetime64 argsorts. + a = np.arange(0, 101, dtype='datetime64[D]') + b = a[::-1] + r = np.arange(101) + rr = r[::-1] + for kind in ['q', 'h', 'm']: + msg = "datetime64 argsort, kind=%s" % kind + assert_equal(a.copy().argsort(kind=kind), r, msg) + assert_equal(b.copy().argsort(kind=kind), rr, msg) + + # test timedelta64 argsorts. + a = np.arange(0, 101, dtype='timedelta64[D]') + b = a[::-1] + r = np.arange(101) + rr = r[::-1] + for kind in ['q', 'h', 'm']: + msg = "timedelta64 argsort, kind=%s" % kind + assert_equal(a.copy().argsort(kind=kind), r, msg) + assert_equal(b.copy().argsort(kind=kind), rr, msg) + + # check axis handling. This should be the same for all type + # specific argsorts, so we only check it for one type and one kind + a = np.array([[3, 2], [1, 0]]) + b = np.array([[1, 1], [0, 0]]) + c = np.array([[1, 0], [1, 0]]) + assert_equal(a.copy().argsort(axis=0), b) + assert_equal(a.copy().argsort(axis=1), c) + assert_equal(a.copy().argsort(), c) + + # check axis handling for multidimensional empty arrays + a = np.array([]) + a.shape = (3, 2, 1, 0) + for axis in range(-a.ndim, a.ndim): + msg = 'test empty array argsort with axis={0}'.format(axis) + assert_equal(np.argsort(a, axis=axis), + np.zeros_like(a, dtype=np.intp), msg) + msg = 'test empty array argsort with axis=None' + assert_equal(np.argsort(a, axis=None), + np.zeros_like(a.ravel(), dtype=np.intp), msg) + + # check that stable argsorts are stable + r = np.arange(100) + # scalars + a = np.zeros(100) + assert_equal(a.argsort(kind='m'), r) + # complex + a = np.zeros(100, dtype=complex) + assert_equal(a.argsort(kind='m'), r) + # string + a = np.array(['aaaaaaaaa' for i in range(100)]) + assert_equal(a.argsort(kind='m'), r) + # unicode + a = np.array(['aaaaaaaaa' for i in range(100)], dtype=np.str_) + assert_equal(a.argsort(kind='m'), r) + + with assert_raises_regex( + ValueError, + "kind` and `stable` parameters can't be provided at the same time" + ): + np.argsort(a, kind="stable", stable=True) + + def test_sort_unicode_kind(self): + d = np.arange(10) + k = b'\xc3\xa4'.decode("UTF8") + assert_raises(ValueError, d.sort, kind=k) + assert_raises(ValueError, d.argsort, kind=k) + + @pytest.mark.parametrize('a', [ + np.array([0, 1, np.nan], dtype=np.float16), + np.array([0, 1, np.nan], dtype=np.float32), + np.array([0, 1, np.nan]), + ]) + def test_searchsorted_floats(self, a): + # test for floats arrays containing nans. Explicitly test + # half, single, and double precision floats to verify that + # the NaN-handling is correct. + msg = "Test real (%s) searchsorted with nans, side='l'" % a.dtype + b = a.searchsorted(a, side='left') + assert_equal(b, np.arange(3), msg) + msg = "Test real (%s) searchsorted with nans, side='r'" % a.dtype + b = a.searchsorted(a, side='right') + assert_equal(b, np.arange(1, 4), msg) + # check keyword arguments + a.searchsorted(v=1) + x = np.array([0, 1, np.nan], dtype='float32') + y = np.searchsorted(x, x[-1]) + assert_equal(y, 2) + + def test_searchsorted_complex(self): + # test for complex arrays containing nans. + # The search sorted routines use the compare functions for the + # array type, so this checks if that is consistent with the sort + # order. + # check double complex + a = np.zeros(9, dtype=np.complex128) + a.real += [0, 0, 1, 1, 0, 1, np.nan, np.nan, np.nan] + a.imag += [0, 1, 0, 1, np.nan, np.nan, 0, 1, np.nan] + msg = "Test complex searchsorted with nans, side='l'" + b = a.searchsorted(a, side='left') + assert_equal(b, np.arange(9), msg) + msg = "Test complex searchsorted with nans, side='r'" + b = a.searchsorted(a, side='right') + assert_equal(b, np.arange(1, 10), msg) + msg = "Test searchsorted with little endian, side='l'" + a = np.array([0, 128], dtype=' p[:, i]).all(), + msg="%d: %r < %r" % (i, p[:, i], p[:, i + 1:].T)) + for row in range(p.shape[0]): + self.assert_partitioned(p[row], [i]) + self.assert_partitioned(parg[row], [i]) + + p = np.partition(d0, i, axis=0, kind=k) + parg = d0[np.argpartition(d0, i, axis=0, kind=k), + np.arange(d0.shape[1])[None, :]] + aae(p[i, :], np.array([i] * d1.shape[0], dtype=dt)) + # array_less does not seem to work right + at((p[:i, :] <= p[i, :]).all(), + msg="%d: %r <= %r" % (i, p[i, :], p[:i, :])) + at((p[i + 1:, :] > p[i, :]).all(), + msg="%d: %r < %r" % (i, p[i, :], p[:, i + 1:])) + for col in range(p.shape[1]): + self.assert_partitioned(p[:, col], [i]) + self.assert_partitioned(parg[:, col], [i]) + + # check inplace + dc = d.copy() + dc.partition(i, kind=k) + assert_equal(dc, np.partition(d, i, kind=k)) + dc = d0.copy() + dc.partition(i, axis=0, kind=k) + assert_equal(dc, np.partition(d0, i, axis=0, kind=k)) + dc = d1.copy() + dc.partition(i, axis=1, kind=k) + assert_equal(dc, np.partition(d1, i, axis=1, kind=k)) + + def assert_partitioned(self, d, kth): + prev = 0 + for k in np.sort(kth): + assert_array_compare(operator.__le__, d[prev:k], d[k], + err_msg='kth %d' % k) + assert_((d[k:] >= d[k]).all(), + msg="kth %d, %r not greater equal %r" % (k, d[k:], d[k])) + prev = k + 1 + + def test_partition_iterative(self): + d = np.arange(17) + kth = (0, 1, 2, 429, 231) + assert_raises(ValueError, d.partition, kth) + assert_raises(ValueError, d.argpartition, kth) + d = np.arange(10).reshape((2, 5)) + assert_raises(ValueError, d.partition, kth, axis=0) + assert_raises(ValueError, d.partition, kth, axis=1) + assert_raises(ValueError, np.partition, d, kth, axis=1) + assert_raises(ValueError, np.partition, d, kth, axis=None) + + d = np.array([3, 4, 2, 1]) + p = np.partition(d, (0, 3)) + self.assert_partitioned(p, (0, 3)) + self.assert_partitioned(d[np.argpartition(d, (0, 3))], (0, 3)) + + assert_array_equal(p, np.partition(d, (-3, -1))) + assert_array_equal(p, d[np.argpartition(d, (-3, -1))]) + + d = np.arange(17) + np.random.shuffle(d) + d.partition(range(d.size)) + assert_array_equal(np.arange(17), d) + np.random.shuffle(d) + assert_array_equal(np.arange(17), d[d.argpartition(range(d.size))]) + + # test unsorted kth + d = np.arange(17) + np.random.shuffle(d) + keys = np.array([1, 3, 8, -2]) + np.random.shuffle(d) + p = np.partition(d, keys) + self.assert_partitioned(p, keys) + p = d[np.argpartition(d, keys)] + self.assert_partitioned(p, keys) + np.random.shuffle(keys) + assert_array_equal(np.partition(d, keys), p) + assert_array_equal(d[np.argpartition(d, keys)], p) + + # equal kth + d = np.arange(20)[::-1] + self.assert_partitioned(np.partition(d, [5]*4), [5]) + self.assert_partitioned(np.partition(d, [5]*4 + [6, 13]), + [5]*4 + [6, 13]) + self.assert_partitioned(d[np.argpartition(d, [5]*4)], [5]) + self.assert_partitioned(d[np.argpartition(d, [5]*4 + [6, 13])], + [5]*4 + [6, 13]) + + d = np.arange(12) + np.random.shuffle(d) + d1 = np.tile(np.arange(12), (4, 1)) + map(np.random.shuffle, d1) + d0 = np.transpose(d1) + + kth = (1, 6, 7, -1) + p = np.partition(d1, kth, axis=1) + pa = d1[np.arange(d1.shape[0])[:, None], + d1.argpartition(kth, axis=1)] + assert_array_equal(p, pa) + for i in range(d1.shape[0]): + self.assert_partitioned(p[i,:], kth) + p = np.partition(d0, kth, axis=0) + pa = d0[np.argpartition(d0, kth, axis=0), + np.arange(d0.shape[1])[None,:]] + assert_array_equal(p, pa) + for i in range(d0.shape[1]): + self.assert_partitioned(p[:, i], kth) + + def test_partition_cdtype(self): + d = np.array([('Galahad', 1.7, 38), ('Arthur', 1.8, 41), + ('Lancelot', 1.9, 38)], + dtype=[('name', '|S10'), ('height', ' (numpy ufunc, has_in_place_version, preferred_dtype) + ops = { + 'add': (np.add, True, float), + 'sub': (np.subtract, True, float), + 'mul': (np.multiply, True, float), + 'truediv': (np.true_divide, True, float), + 'floordiv': (np.floor_divide, True, float), + 'mod': (np.remainder, True, float), + 'divmod': (np.divmod, False, float), + 'pow': (np.power, True, int), + 'lshift': (np.left_shift, True, int), + 'rshift': (np.right_shift, True, int), + 'and': (np.bitwise_and, True, int), + 'xor': (np.bitwise_xor, True, int), + 'or': (np.bitwise_or, True, int), + 'matmul': (np.matmul, True, float), + # 'ge': (np.less_equal, False), + # 'gt': (np.less, False), + # 'le': (np.greater_equal, False), + # 'lt': (np.greater, False), + # 'eq': (np.equal, False), + # 'ne': (np.not_equal, False), + } + + class Coerced(Exception): + pass + + def array_impl(self): + raise Coerced + + def op_impl(self, other): + return "forward" + + def rop_impl(self, other): + return "reverse" + + def iop_impl(self, other): + return "in-place" + + def array_ufunc_impl(self, ufunc, method, *args, **kwargs): + return ("__array_ufunc__", ufunc, method, args, kwargs) + + # Create an object with the given base, in the given module, with a + # bunch of placeholder __op__ methods, and optionally a + # __array_ufunc__ and __array_priority__. + def make_obj(base, array_priority=False, array_ufunc=False, + alleged_module="__main__"): + class_namespace = {"__array__": array_impl} + if array_priority is not False: + class_namespace["__array_priority__"] = array_priority + for op in ops: + class_namespace["__{0}__".format(op)] = op_impl + class_namespace["__r{0}__".format(op)] = rop_impl + class_namespace["__i{0}__".format(op)] = iop_impl + if array_ufunc is not False: + class_namespace["__array_ufunc__"] = array_ufunc + eval_namespace = {"base": base, + "class_namespace": class_namespace, + "__name__": alleged_module, + } + MyType = eval("type('MyType', (base,), class_namespace)", + eval_namespace) + if issubclass(MyType, np.ndarray): + # Use this range to avoid special case weirdnesses around + # divide-by-0, pow(x, 2), overflow due to pow(big, big), etc. + return np.arange(3, 7).reshape(2, 2).view(MyType) + else: + return MyType() + + def check(obj, binop_override_expected, ufunc_override_expected, + inplace_override_expected, check_scalar=True): + for op, (ufunc, has_inplace, dtype) in ops.items(): + err_msg = ('op: %s, ufunc: %s, has_inplace: %s, dtype: %s' + % (op, ufunc, has_inplace, dtype)) + check_objs = [np.arange(3, 7, dtype=dtype).reshape(2, 2)] + if check_scalar: + check_objs.append(check_objs[0][0]) + for arr in check_objs: + arr_method = getattr(arr, "__{0}__".format(op)) + + def first_out_arg(result): + if op == "divmod": + assert_(isinstance(result, tuple)) + return result[0] + else: + return result + + # arr __op__ obj + if binop_override_expected: + assert_equal(arr_method(obj), NotImplemented, err_msg) + elif ufunc_override_expected: + assert_equal(arr_method(obj)[0], "__array_ufunc__", + err_msg) + else: + if (isinstance(obj, np.ndarray) and + (type(obj).__array_ufunc__ is + np.ndarray.__array_ufunc__)): + # __array__ gets ignored + res = first_out_arg(arr_method(obj)) + assert_(res.__class__ is obj.__class__, err_msg) + else: + assert_raises((TypeError, Coerced), + arr_method, obj, err_msg=err_msg) + # obj __op__ arr + arr_rmethod = getattr(arr, "__r{0}__".format(op)) + if ufunc_override_expected: + res = arr_rmethod(obj) + assert_equal(res[0], "__array_ufunc__", + err_msg=err_msg) + assert_equal(res[1], ufunc, err_msg=err_msg) + else: + if (isinstance(obj, np.ndarray) and + (type(obj).__array_ufunc__ is + np.ndarray.__array_ufunc__)): + # __array__ gets ignored + res = first_out_arg(arr_rmethod(obj)) + assert_(res.__class__ is obj.__class__, err_msg) + else: + # __array_ufunc__ = "asdf" creates a TypeError + assert_raises((TypeError, Coerced), + arr_rmethod, obj, err_msg=err_msg) + + # arr __iop__ obj + # array scalars don't have in-place operators + if has_inplace and isinstance(arr, np.ndarray): + arr_imethod = getattr(arr, "__i{0}__".format(op)) + if inplace_override_expected: + assert_equal(arr_method(obj), NotImplemented, + err_msg=err_msg) + elif ufunc_override_expected: + res = arr_imethod(obj) + assert_equal(res[0], "__array_ufunc__", err_msg) + assert_equal(res[1], ufunc, err_msg) + assert_(type(res[-1]["out"]) is tuple, err_msg) + assert_(res[-1]["out"][0] is arr, err_msg) + else: + if (isinstance(obj, np.ndarray) and + (type(obj).__array_ufunc__ is + np.ndarray.__array_ufunc__)): + # __array__ gets ignored + assert_(arr_imethod(obj) is arr, err_msg) + else: + assert_raises((TypeError, Coerced), + arr_imethod, obj, + err_msg=err_msg) + + op_fn = getattr(operator, op, None) + if op_fn is None: + op_fn = getattr(operator, op + "_", None) + if op_fn is None: + op_fn = getattr(builtins, op) + assert_equal(op_fn(obj, arr), "forward", err_msg) + if not isinstance(obj, np.ndarray): + if binop_override_expected: + assert_equal(op_fn(arr, obj), "reverse", err_msg) + elif ufunc_override_expected: + assert_equal(op_fn(arr, obj)[0], "__array_ufunc__", + err_msg) + if ufunc_override_expected: + assert_equal(ufunc(obj, arr)[0], "__array_ufunc__", + err_msg) + + # No array priority, no array_ufunc -> nothing called + check(make_obj(object), False, False, False) + # Negative array priority, no array_ufunc -> nothing called + # (has to be very negative, because scalar priority is -1000000.0) + check(make_obj(object, array_priority=-2**30), False, False, False) + # Positive array priority, no array_ufunc -> binops and iops only + check(make_obj(object, array_priority=1), True, False, True) + # ndarray ignores array_priority for ndarray subclasses + check(make_obj(np.ndarray, array_priority=1), False, False, False, + check_scalar=False) + # Positive array_priority and array_ufunc -> array_ufunc only + check(make_obj(object, array_priority=1, + array_ufunc=array_ufunc_impl), False, True, False) + check(make_obj(np.ndarray, array_priority=1, + array_ufunc=array_ufunc_impl), False, True, False) + # array_ufunc set to None -> defer binops only + check(make_obj(object, array_ufunc=None), True, False, False) + check(make_obj(np.ndarray, array_ufunc=None), True, False, False, + check_scalar=False) + + @pytest.mark.parametrize("priority", [None, "runtime error"]) + def test_ufunc_binop_bad_array_priority(self, priority): + # Mainly checks that this does not crash. The second array has a lower + # priority than -1 ("error value"). If the __radd__ actually exists, + # bad things can happen (I think via the scalar paths). + # In principle both of these can probably just be errors in the future. + class BadPriority: + @property + def __array_priority__(self): + if priority == "runtime error": + raise RuntimeError("RuntimeError in __array_priority__!") + return priority + + def __radd__(self, other): + return "result" + + class LowPriority(np.ndarray): + __array_priority__ = -1000 + + # Priority failure uses the same as scalars (smaller -1000). So the + # LowPriority wins with 'result' for each element (inner operation). + res = np.arange(3).view(LowPriority) + BadPriority() + assert res.shape == (3,) + assert res[0] == 'result' + + @pytest.mark.parametrize("scalar", [ + np.longdouble(1), np.timedelta64(120, 'm')]) + @pytest.mark.parametrize("op", [operator.add, operator.xor]) + def test_scalar_binop_guarantees_ufunc(self, scalar, op): + # Test that __array_ufunc__ will always cause ufunc use even when + # we have to protect some other calls from recursing (see gh-26904). + class SomeClass: + def __array_ufunc__(self, ufunc, method, *inputs, **kw): + return "result" + + assert SomeClass() + scalar == "result" + assert scalar + SomeClass() == "result" + + def test_ufunc_override_normalize_signature(self): + # gh-5674 + class SomeClass: + def __array_ufunc__(self, ufunc, method, *inputs, **kw): + return kw + + a = SomeClass() + kw = np.add(a, [1]) + assert_('sig' not in kw and 'signature' not in kw) + kw = np.add(a, [1], sig='ii->i') + assert_('sig' not in kw and 'signature' in kw) + assert_equal(kw['signature'], 'ii->i') + kw = np.add(a, [1], signature='ii->i') + assert_('sig' not in kw and 'signature' in kw) + assert_equal(kw['signature'], 'ii->i') + + def test_array_ufunc_index(self): + # Check that index is set appropriately, also if only an output + # is passed on (latter is another regression tests for github bug 4753) + # This also checks implicitly that 'out' is always a tuple. + class CheckIndex: + def __array_ufunc__(self, ufunc, method, *inputs, **kw): + for i, a in enumerate(inputs): + if a is self: + return i + # calls below mean we must be in an output. + for j, a in enumerate(kw['out']): + if a is self: + return (j,) + + a = CheckIndex() + dummy = np.arange(2.) + # 1 input, 1 output + assert_equal(np.sin(a), 0) + assert_equal(np.sin(dummy, a), (0,)) + assert_equal(np.sin(dummy, out=a), (0,)) + assert_equal(np.sin(dummy, out=(a,)), (0,)) + assert_equal(np.sin(a, a), 0) + assert_equal(np.sin(a, out=a), 0) + assert_equal(np.sin(a, out=(a,)), 0) + # 1 input, 2 outputs + assert_equal(np.modf(dummy, a), (0,)) + assert_equal(np.modf(dummy, None, a), (1,)) + assert_equal(np.modf(dummy, dummy, a), (1,)) + assert_equal(np.modf(dummy, out=(a, None)), (0,)) + assert_equal(np.modf(dummy, out=(a, dummy)), (0,)) + assert_equal(np.modf(dummy, out=(None, a)), (1,)) + assert_equal(np.modf(dummy, out=(dummy, a)), (1,)) + assert_equal(np.modf(a, out=(dummy, a)), 0) + with assert_raises(TypeError): + # Out argument must be tuple, since there are multiple outputs + np.modf(dummy, out=a) + + assert_raises(ValueError, np.modf, dummy, out=(a,)) + + # 2 inputs, 1 output + assert_equal(np.add(a, dummy), 0) + assert_equal(np.add(dummy, a), 1) + assert_equal(np.add(dummy, dummy, a), (0,)) + assert_equal(np.add(dummy, a, a), 1) + assert_equal(np.add(dummy, dummy, out=a), (0,)) + assert_equal(np.add(dummy, dummy, out=(a,)), (0,)) + assert_equal(np.add(a, dummy, out=a), 0) + + def test_out_override(self): + # regression test for github bug 4753 + class OutClass(np.ndarray): + def __array_ufunc__(self, ufunc, method, *inputs, **kw): + if 'out' in kw: + tmp_kw = kw.copy() + tmp_kw.pop('out') + func = getattr(ufunc, method) + kw['out'][0][...] = func(*inputs, **tmp_kw) + + A = np.array([0]).view(OutClass) + B = np.array([5]) + C = np.array([6]) + np.multiply(C, B, A) + assert_equal(A[0], 30) + assert_(isinstance(A, OutClass)) + A[0] = 0 + np.multiply(C, B, out=A) + assert_equal(A[0], 30) + assert_(isinstance(A, OutClass)) + + def test_pow_override_with_errors(self): + # regression test for gh-9112 + class PowerOnly(np.ndarray): + def __array_ufunc__(self, ufunc, method, *inputs, **kw): + if ufunc is not np.power: + raise NotImplementedError + return "POWER!" + # explicit cast to float, to ensure the fast power path is taken. + a = np.array(5., dtype=np.float64).view(PowerOnly) + assert_equal(a ** 2.5, "POWER!") + with assert_raises(NotImplementedError): + a ** 0.5 + with assert_raises(NotImplementedError): + a ** 0 + with assert_raises(NotImplementedError): + a ** 1 + with assert_raises(NotImplementedError): + a ** -1 + with assert_raises(NotImplementedError): + a ** 2 + + def test_pow_array_object_dtype(self): + # test pow on arrays of object dtype + class SomeClass: + def __init__(self, num=None): + self.num = num + + # want to ensure a fast pow path is not taken + def __mul__(self, other): + raise AssertionError('__mul__ should not be called') + + def __div__(self, other): + raise AssertionError('__div__ should not be called') + + def __pow__(self, exp): + return SomeClass(num=self.num ** exp) + + def __eq__(self, other): + if isinstance(other, SomeClass): + return self.num == other.num + + __rpow__ = __pow__ + + def pow_for(exp, arr): + return np.array([x ** exp for x in arr]) + + obj_arr = np.array([SomeClass(1), SomeClass(2), SomeClass(3)]) + + assert_equal(obj_arr ** 0.5, pow_for(0.5, obj_arr)) + assert_equal(obj_arr ** 0, pow_for(0, obj_arr)) + assert_equal(obj_arr ** 1, pow_for(1, obj_arr)) + assert_equal(obj_arr ** -1, pow_for(-1, obj_arr)) + assert_equal(obj_arr ** 2, pow_for(2, obj_arr)) + + def test_pos_array_ufunc_override(self): + class A(np.ndarray): + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + return getattr(ufunc, method)(*[i.view(np.ndarray) for + i in inputs], **kwargs) + tst = np.array('foo').view(A) + with assert_raises(TypeError): + +tst + + +class TestTemporaryElide: + # elision is only triggered on relatively large arrays + + def test_extension_incref_elide(self): + # test extension (e.g. cython) calling PyNumber_* slots without + # increasing the reference counts + # + # def incref_elide(a): + # d = input.copy() # refcount 1 + # return d, d + d # PyNumber_Add without increasing refcount + from numpy._core._multiarray_tests import incref_elide + d = np.ones(100000) + orig, res = incref_elide(d) + d + d + # the return original should not be changed to an inplace operation + assert_array_equal(orig, d) + assert_array_equal(res, d + d) + + def test_extension_incref_elide_stack(self): + # scanning if the refcount == 1 object is on the python stack to check + # that we are called directly from python is flawed as object may still + # be above the stack pointer and we have no access to the top of it + # + # def incref_elide_l(d): + # return l[4] + l[4] # PyNumber_Add without increasing refcount + from numpy._core._multiarray_tests import incref_elide_l + # padding with 1 makes sure the object on the stack is not overwritten + l = [1, 1, 1, 1, np.ones(100000)] + res = incref_elide_l(l) + # the return original should not be changed to an inplace operation + assert_array_equal(l[4], np.ones(100000)) + assert_array_equal(res, l[4] + l[4]) + + def test_temporary_with_cast(self): + # check that we don't elide into a temporary which would need casting + d = np.ones(200000, dtype=np.int64) + r = ((d + d) + np.array(2**222, dtype='O')) + assert_equal(r.dtype, np.dtype('O')) + + r = ((d + d) / 2) + assert_equal(r.dtype, np.dtype('f8')) + + r = np.true_divide((d + d), 2) + assert_equal(r.dtype, np.dtype('f8')) + + r = ((d + d) / 2.) + assert_equal(r.dtype, np.dtype('f8')) + + r = ((d + d) // 2) + assert_equal(r.dtype, np.dtype(np.int64)) + + # commutative elision into the astype result + f = np.ones(100000, dtype=np.float32) + assert_equal(((f + f) + f.astype(np.float64)).dtype, np.dtype('f8')) + + # no elision into lower type + d = f.astype(np.float64) + assert_equal(((f + f) + d).dtype, d.dtype) + l = np.ones(100000, dtype=np.longdouble) + assert_equal(((d + d) + l).dtype, l.dtype) + + # test unary abs with different output dtype + for dt in (np.complex64, np.complex128, np.clongdouble): + c = np.ones(100000, dtype=dt) + r = abs(c * 2.0) + assert_equal(r.dtype, np.dtype('f%d' % (c.itemsize // 2))) + + def test_elide_broadcast(self): + # test no elision on broadcast to higher dimension + # only triggers elision code path in debug mode as triggering it in + # normal mode needs 256kb large matching dimension, so a lot of memory + d = np.ones((2000, 1), dtype=int) + b = np.ones((2000), dtype=bool) + r = (1 - d) + b + assert_equal(r, 1) + assert_equal(r.shape, (2000, 2000)) + + def test_elide_scalar(self): + # check inplace op does not create ndarray from scalars + a = np.bool() + assert_(type(~(a & a)) is np.bool) + + def test_elide_scalar_readonly(self): + # The imaginary part of a real array is readonly. This needs to go + # through fast_scalar_power which is only called for powers of + # +1, -1, 0, 0.5, and 2, so use 2. Also need valid refcount for + # elision which can be gotten for the imaginary part of a real + # array. Should not error. + a = np.empty(100000, dtype=np.float64) + a.imag ** 2 + + def test_elide_readonly(self): + # don't try to elide readonly temporaries + r = np.asarray(np.broadcast_to(np.zeros(1), 100000).flat) * 0.0 + assert_equal(r, 0) + + def test_elide_updateifcopy(self): + a = np.ones(2**20)[::2] + b = a.flat.__array__() + 1 + del b + assert_equal(a, 1) + + +class TestCAPI: + def test_IsPythonScalar(self): + from numpy._core._multiarray_tests import IsPythonScalar + assert_(IsPythonScalar(b'foobar')) + assert_(IsPythonScalar(1)) + assert_(IsPythonScalar(2**80)) + assert_(IsPythonScalar(2.)) + assert_(IsPythonScalar("a")) + + @pytest.mark.parametrize("converter", + [_multiarray_tests.run_scalar_intp_converter, + _multiarray_tests.run_scalar_intp_from_sequence]) + def test_intp_sequence_converters(self, converter): + # Test simple values (-1 is special for error return paths) + assert converter(10) == (10,) + assert converter(-1) == (-1,) + # A 0-D array looks a bit like a sequence but must take the integer + # path: + assert converter(np.array(123)) == (123,) + # Test simple sequences (intp_from_sequence only supports length 1): + assert converter((10,)) == (10,) + assert converter(np.array([11])) == (11,) + + @pytest.mark.parametrize("converter", + [_multiarray_tests.run_scalar_intp_converter, + _multiarray_tests.run_scalar_intp_from_sequence]) + @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") + def test_intp_sequence_converters_errors(self, converter): + with pytest.raises(TypeError, + match="expected a sequence of integers or a single integer, "): + converter(object()) + with pytest.raises(TypeError, + match="expected a sequence of integers or a single integer, " + "got '32.0'"): + converter(32.) + with pytest.raises(TypeError, + match="'float' object cannot be interpreted as an integer"): + converter([32.]) + with pytest.raises(ValueError, + match="Maximum allowed dimension"): + # These converters currently convert overflows to a ValueError + converter(2**64) + + +class TestSubscripting: + def test_test_zero_rank(self): + x = np.array([1, 2, 3]) + assert_(isinstance(x[0], np.int_)) + assert_(type(x[0, ...]) is np.ndarray) + + +class TestPickling: + @pytest.mark.skipif(pickle.HIGHEST_PROTOCOL >= 5, + reason=('this tests the error messages when trying to' + 'protocol 5 although it is not available')) + def test_correct_protocol5_error_message(self): + array = np.arange(10) + + def test_record_array_with_object_dtype(self): + my_object = object() + + arr_with_object = np.array( + [(my_object, 1, 2.0)], + dtype=[('a', object), ('b', int), ('c', float)]) + arr_without_object = np.array( + [('xxx', 1, 2.0)], + dtype=[('a', str), ('b', int), ('c', float)]) + + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + depickled_arr_with_object = pickle.loads( + pickle.dumps(arr_with_object, protocol=proto)) + depickled_arr_without_object = pickle.loads( + pickle.dumps(arr_without_object, protocol=proto)) + + assert_equal(arr_with_object.dtype, + depickled_arr_with_object.dtype) + assert_equal(arr_without_object.dtype, + depickled_arr_without_object.dtype) + + @pytest.mark.skipif(pickle.HIGHEST_PROTOCOL < 5, + reason="requires pickle protocol 5") + def test_f_contiguous_array(self): + f_contiguous_array = np.array([[1, 2, 3], [4, 5, 6]], order='F') + buffers = [] + + # When using pickle protocol 5, Fortran-contiguous arrays can be + # serialized using out-of-band buffers + bytes_string = pickle.dumps(f_contiguous_array, protocol=5, + buffer_callback=buffers.append) + + assert len(buffers) > 0 + + depickled_f_contiguous_array = pickle.loads(bytes_string, + buffers=buffers) + + assert_equal(f_contiguous_array, depickled_f_contiguous_array) + + def test_non_contiguous_array(self): + non_contiguous_array = np.arange(12).reshape(3, 4)[:, :2] + assert not non_contiguous_array.flags.c_contiguous + assert not non_contiguous_array.flags.f_contiguous + + # make sure non-contiguous arrays can be pickled-depickled + # using any protocol + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + depickled_non_contiguous_array = pickle.loads( + pickle.dumps(non_contiguous_array, protocol=proto)) + + assert_equal(non_contiguous_array, depickled_non_contiguous_array) + + def test_roundtrip(self): + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + carray = np.array([[2, 9], [7, 0], [3, 8]]) + DATA = [ + carray, + np.transpose(carray), + np.array([('xxx', 1, 2.0)], dtype=[('a', (str, 3)), ('b', int), + ('c', float)]) + ] + + refs = [weakref.ref(a) for a in DATA] + for a in DATA: + assert_equal( + a, pickle.loads(pickle.dumps(a, protocol=proto)), + err_msg="%r" % a) + del a, DATA, carray + break_cycles() + # check for reference leaks (gh-12793) + for ref in refs: + assert ref() is None + + def _loads(self, obj): + return pickle.loads(obj, encoding='latin1') + + # version 0 pickles, using protocol=2 to pickle + # version 0 doesn't have a version field + def test_version0_int8(self): + s = b"\x80\x02cnumpy.core._internal\n_reconstruct\nq\x01cnumpy\nndarray\nq\x02K\x00\x85U\x01b\x87Rq\x03(K\x04\x85cnumpy\ndtype\nq\x04U\x02i1K\x00K\x01\x87Rq\x05(U\x01|NNJ\xff\xff\xff\xffJ\xff\xff\xff\xfftb\x89U\x04\x01\x02\x03\x04tb." # noqa + a = np.array([1, 2, 3, 4], dtype=np.int8) + p = self._loads(s) + assert_equal(a, p) + + def test_version0_float32(self): + s = b"\x80\x02cnumpy.core._internal\n_reconstruct\nq\x01cnumpy\nndarray\nq\x02K\x00\x85U\x01b\x87Rq\x03(K\x04\x85cnumpy\ndtype\nq\x04U\x02f4K\x00K\x01\x87Rq\x05(U\x01= g2, [g1[i] >= g2[i] for i in [0, 1, 2]]) + assert_array_equal(g1 < g2, [g1[i] < g2[i] for i in [0, 1, 2]]) + assert_array_equal(g1 > g2, [g1[i] > g2[i] for i in [0, 1, 2]]) + + def test_mixed(self): + g1 = np.array(["spam", "spa", "spammer", "and eggs"]) + g2 = "spam" + assert_array_equal(g1 == g2, [x == g2 for x in g1]) + assert_array_equal(g1 != g2, [x != g2 for x in g1]) + assert_array_equal(g1 < g2, [x < g2 for x in g1]) + assert_array_equal(g1 > g2, [x > g2 for x in g1]) + assert_array_equal(g1 <= g2, [x <= g2 for x in g1]) + assert_array_equal(g1 >= g2, [x >= g2 for x in g1]) + + def test_unicode(self): + g1 = np.array(["This", "is", "example"]) + g2 = np.array(["This", "was", "example"]) + assert_array_equal(g1 == g2, [g1[i] == g2[i] for i in [0, 1, 2]]) + assert_array_equal(g1 != g2, [g1[i] != g2[i] for i in [0, 1, 2]]) + assert_array_equal(g1 <= g2, [g1[i] <= g2[i] for i in [0, 1, 2]]) + assert_array_equal(g1 >= g2, [g1[i] >= g2[i] for i in [0, 1, 2]]) + assert_array_equal(g1 < g2, [g1[i] < g2[i] for i in [0, 1, 2]]) + assert_array_equal(g1 > g2, [g1[i] > g2[i] for i in [0, 1, 2]]) + +class TestArgmaxArgminCommon: + + sizes = [(), (3,), (3, 2), (2, 3), + (3, 3), (2, 3, 4), (4, 3, 2), + (1, 2, 3, 4), (2, 3, 4, 1), + (3, 4, 1, 2), (4, 1, 2, 3), + (64,), (128,), (256,)] + + @pytest.mark.parametrize("size, axis", itertools.chain(*[[(size, axis) + for axis in list(range(-len(size), len(size))) + [None]] + for size in sizes])) + @pytest.mark.parametrize('method', [np.argmax, np.argmin]) + def test_np_argmin_argmax_keepdims(self, size, axis, method): + + arr = np.random.normal(size=size) + + # contiguous arrays + if axis is None: + new_shape = [1 for _ in range(len(size))] + else: + new_shape = list(size) + new_shape[axis] = 1 + new_shape = tuple(new_shape) + + _res_orig = method(arr, axis=axis) + res_orig = _res_orig.reshape(new_shape) + res = method(arr, axis=axis, keepdims=True) + assert_equal(res, res_orig) + assert_(res.shape == new_shape) + outarray = np.empty(res.shape, dtype=res.dtype) + res1 = method(arr, axis=axis, out=outarray, + keepdims=True) + assert_(res1 is outarray) + assert_equal(res, outarray) + + if len(size) > 0: + wrong_shape = list(new_shape) + if axis is not None: + wrong_shape[axis] = 2 + else: + wrong_shape[0] = 2 + wrong_outarray = np.empty(wrong_shape, dtype=res.dtype) + with pytest.raises(ValueError): + method(arr.T, axis=axis, + out=wrong_outarray, keepdims=True) + + # non-contiguous arrays + if axis is None: + new_shape = [1 for _ in range(len(size))] + else: + new_shape = list(size)[::-1] + new_shape[axis] = 1 + new_shape = tuple(new_shape) + + _res_orig = method(arr.T, axis=axis) + res_orig = _res_orig.reshape(new_shape) + res = method(arr.T, axis=axis, keepdims=True) + assert_equal(res, res_orig) + assert_(res.shape == new_shape) + outarray = np.empty(new_shape[::-1], dtype=res.dtype) + outarray = outarray.T + res1 = method(arr.T, axis=axis, out=outarray, + keepdims=True) + assert_(res1 is outarray) + assert_equal(res, outarray) + + if len(size) > 0: + # one dimension lesser for non-zero sized + # array should raise an error + with pytest.raises(ValueError): + method(arr[0], axis=axis, + out=outarray, keepdims=True) + + if len(size) > 0: + wrong_shape = list(new_shape) + if axis is not None: + wrong_shape[axis] = 2 + else: + wrong_shape[0] = 2 + wrong_outarray = np.empty(wrong_shape, dtype=res.dtype) + with pytest.raises(ValueError): + method(arr.T, axis=axis, + out=wrong_outarray, keepdims=True) + + @pytest.mark.parametrize('method', ['max', 'min']) + def test_all(self, method): + a = np.random.normal(0, 1, (4, 5, 6, 7, 8)) + arg_method = getattr(a, 'arg' + method) + val_method = getattr(a, method) + for i in range(a.ndim): + a_maxmin = val_method(i) + aarg_maxmin = arg_method(i) + axes = list(range(a.ndim)) + axes.remove(i) + assert_(np.all(a_maxmin == aarg_maxmin.choose( + *a.transpose(i, *axes)))) + + @pytest.mark.parametrize('method', ['argmax', 'argmin']) + def test_output_shape(self, method): + # see also gh-616 + a = np.ones((10, 5)) + arg_method = getattr(a, method) + # Check some simple shape mismatches + out = np.ones(11, dtype=np.int_) + assert_raises(ValueError, arg_method, -1, out) + + out = np.ones((2, 5), dtype=np.int_) + assert_raises(ValueError, arg_method, -1, out) + + # these could be relaxed possibly (used to allow even the previous) + out = np.ones((1, 10), dtype=np.int_) + assert_raises(ValueError, arg_method, -1, out) + + out = np.ones(10, dtype=np.int_) + arg_method(-1, out=out) + assert_equal(out, arg_method(-1)) + + @pytest.mark.parametrize('ndim', [0, 1]) + @pytest.mark.parametrize('method', ['argmax', 'argmin']) + def test_ret_is_out(self, ndim, method): + a = np.ones((4,) + (256,)*ndim) + arg_method = getattr(a, method) + out = np.empty((256,)*ndim, dtype=np.intp) + ret = arg_method(axis=0, out=out) + assert ret is out + + @pytest.mark.parametrize('np_array, method, idx, val', + [(np.zeros, 'argmax', 5942, "as"), + (np.ones, 'argmin', 6001, "0")]) + def test_unicode(self, np_array, method, idx, val): + d = np_array(6031, dtype='= cmin)) + assert_(np.all(x <= cmax)) + + def _clip_type(self, type_group, array_max, + clip_min, clip_max, inplace=False, + expected_min=None, expected_max=None): + if expected_min is None: + expected_min = clip_min + if expected_max is None: + expected_max = clip_max + + for T in np._core.sctypes[type_group]: + if sys.byteorder == 'little': + byte_orders = ['=', '>'] + else: + byte_orders = ['<', '='] + + for byteorder in byte_orders: + dtype = np.dtype(T).newbyteorder(byteorder) + + x = (np.random.random(1000) * array_max).astype(dtype) + if inplace: + # The tests that call us pass clip_min and clip_max that + # might not fit in the destination dtype. They were written + # assuming the previous unsafe casting, which now must be + # passed explicitly to avoid a warning. + x.clip(clip_min, clip_max, x, casting='unsafe') + else: + x = x.clip(clip_min, clip_max) + byteorder = '=' + + if x.dtype.byteorder == '|': + byteorder = '|' + assert_equal(x.dtype.byteorder, byteorder) + self._check_range(x, expected_min, expected_max) + return x + + def test_basic(self): + for inplace in [False, True]: + self._clip_type( + 'float', 1024, -12.8, 100.2, inplace=inplace) + self._clip_type( + 'float', 1024, 0, 0, inplace=inplace) + + self._clip_type( + 'int', 1024, -120, 100, inplace=inplace) + self._clip_type( + 'int', 1024, 0, 0, inplace=inplace) + + self._clip_type( + 'uint', 1024, 0, 0, inplace=inplace) + self._clip_type( + 'uint', 1024, 10, 100, inplace=inplace) + + @pytest.mark.parametrize("inplace", [False, True]) + def test_int_out_of_range(self, inplace): + # Simple check for out-of-bound integers, also testing the in-place + # path. + x = (np.random.random(1000) * 255).astype("uint8") + out = np.empty_like(x) + res = x.clip(-1, 300, out=out if inplace else None) + assert res is out or not inplace + assert (res == x).all() + + res = x.clip(-1, 50, out=out if inplace else None) + assert res is out or not inplace + assert (res <= 50).all() + assert (res[x <= 50] == x[x <= 50]).all() + + res = x.clip(100, 1000, out=out if inplace else None) + assert res is out or not inplace + assert (res >= 100).all() + assert (res[x >= 100] == x[x >= 100]).all() + + def test_record_array(self): + rec = np.array([(-5, 2.0, 3.0), (5.0, 4.0, 3.0)], + dtype=[('x', '= 3)) + x = val.clip(min=3) + assert_(np.all(x >= 3)) + x = val.clip(max=4) + assert_(np.all(x <= 4)) + + def test_nan(self): + input_arr = np.array([-2., np.nan, 0.5, 3., 0.25, np.nan]) + result = input_arr.clip(-1, 1) + expected = np.array([-1., np.nan, 0.5, 1., 0.25, np.nan]) + assert_array_equal(result, expected) + + +class TestCompress: + def test_axis(self): + tgt = [[5, 6, 7, 8, 9]] + arr = np.arange(10).reshape(2, 5) + out = np.compress([0, 1], arr, axis=0) + assert_equal(out, tgt) + + tgt = [[1, 3], [6, 8]] + out = np.compress([0, 1, 0, 1, 0], arr, axis=1) + assert_equal(out, tgt) + + def test_truncate(self): + tgt = [[1], [6]] + arr = np.arange(10).reshape(2, 5) + out = np.compress([0, 1], arr, axis=1) + assert_equal(out, tgt) + + def test_flatten(self): + arr = np.arange(10).reshape(2, 5) + out = np.compress([0, 1], arr) + assert_equal(out, 1) + + +class TestPutmask: + def tst_basic(self, x, T, mask, val): + np.putmask(x, mask, val) + assert_equal(x[mask], np.array(val, T)) + + def test_ip_types(self): + unchecked_types = [bytes, str, np.void] + + x = np.random.random(1000)*100 + mask = x < 40 + + for val in [-100, 0, 15]: + for types in np._core.sctypes.values(): + for T in types: + if T not in unchecked_types: + if val < 0 and np.dtype(T).kind == "u": + val = np.iinfo(T).max - 99 + self.tst_basic(x.copy().astype(T), T, mask, val) + + # Also test string of a length which uses an untypical length + dt = np.dtype("S3") + self.tst_basic(x.astype(dt), dt.type, mask, dt.type(val)[:3]) + + def test_mask_size(self): + assert_raises(ValueError, np.putmask, np.array([1, 2, 3]), [True], 5) + + @pytest.mark.parametrize('dtype', ('>i4', 'f8'), ('z', '= 2, 3) + + def test_kwargs(self): + x = np.array([0, 0]) + np.putmask(x, [0, 1], [-1, -2]) + assert_array_equal(x, [0, -2]) + + x = np.array([0, 0]) + np.putmask(x, mask=[0, 1], values=[-1, -2]) + assert_array_equal(x, [0, -2]) + + x = np.array([0, 0]) + np.putmask(x, values=[-1, -2], mask=[0, 1]) + assert_array_equal(x, [0, -2]) + + with pytest.raises(TypeError): + np.putmask(a=x, values=[-1, -2], mask=[0, 1]) + + +class TestTake: + def tst_basic(self, x): + ind = list(range(x.shape[0])) + assert_array_equal(x.take(ind, axis=0), x) + + def test_ip_types(self): + unchecked_types = [bytes, str, np.void] + + x = np.random.random(24)*100 + x.shape = 2, 3, 4 + for types in np._core.sctypes.values(): + for T in types: + if T not in unchecked_types: + self.tst_basic(x.copy().astype(T)) + + # Also test string of a length which uses an untypical length + self.tst_basic(x.astype("S3")) + + def test_raise(self): + x = np.random.random(24)*100 + x.shape = 2, 3, 4 + assert_raises(IndexError, x.take, [0, 1, 2], axis=0) + assert_raises(IndexError, x.take, [-3], axis=0) + assert_array_equal(x.take([-1], axis=0)[0], x[1]) + + def test_clip(self): + x = np.random.random(24)*100 + x.shape = 2, 3, 4 + assert_array_equal(x.take([-1], axis=0, mode='clip')[0], x[0]) + assert_array_equal(x.take([2], axis=0, mode='clip')[0], x[1]) + + def test_wrap(self): + x = np.random.random(24)*100 + x.shape = 2, 3, 4 + assert_array_equal(x.take([-1], axis=0, mode='wrap')[0], x[1]) + assert_array_equal(x.take([2], axis=0, mode='wrap')[0], x[0]) + assert_array_equal(x.take([3], axis=0, mode='wrap')[0], x[1]) + + @pytest.mark.parametrize('dtype', ('>i4', 'f8'), ('z', ' 16MB + d = np.zeros(4 * 1024 ** 2) + d.tofile(tmp_filename) + assert_equal(os.path.getsize(tmp_filename), d.nbytes) + assert_array_equal(d, np.fromfile(tmp_filename)) + # check offset + with open(tmp_filename, "r+b") as f: + f.seek(d.nbytes) + d.tofile(f) + assert_equal(os.path.getsize(tmp_filename), d.nbytes * 2) + # check append mode (gh-8329) + open(tmp_filename, "w").close() # delete file contents + with open(tmp_filename, "ab") as f: + d.tofile(f) + assert_array_equal(d, np.fromfile(tmp_filename)) + with open(tmp_filename, "ab") as f: + d.tofile(f) + assert_equal(os.path.getsize(tmp_filename), d.nbytes * 2) + + def test_io_open_buffered_fromfile(self, x, tmp_filename): + # gh-6632 + x.tofile(tmp_filename) + with open(tmp_filename, 'rb', buffering=-1) as f: + y = np.fromfile(f, dtype=x.dtype) + assert_array_equal(y, x.flat) + + def test_file_position_after_fromfile(self, tmp_filename): + # gh-4118 + sizes = [io.DEFAULT_BUFFER_SIZE//8, + io.DEFAULT_BUFFER_SIZE, + io.DEFAULT_BUFFER_SIZE*8] + + for size in sizes: + with open(tmp_filename, 'wb') as f: + f.seek(size-1) + f.write(b'\0') + + for mode in ['rb', 'r+b']: + err_msg = "%d %s" % (size, mode) + + with open(tmp_filename, mode) as f: + f.read(2) + np.fromfile(f, dtype=np.float64, count=1) + pos = f.tell() + assert_equal(pos, 10, err_msg=err_msg) + + def test_file_position_after_tofile(self, tmp_filename): + # gh-4118 + sizes = [io.DEFAULT_BUFFER_SIZE//8, + io.DEFAULT_BUFFER_SIZE, + io.DEFAULT_BUFFER_SIZE*8] + + for size in sizes: + err_msg = "%d" % (size,) + + with open(tmp_filename, 'wb') as f: + f.seek(size-1) + f.write(b'\0') + f.seek(10) + f.write(b'12') + np.array([0], dtype=np.float64).tofile(f) + pos = f.tell() + assert_equal(pos, 10 + 2 + 8, err_msg=err_msg) + + with open(tmp_filename, 'r+b') as f: + f.read(2) + f.seek(0, 1) # seek between read&write required by ANSI C + np.array([0], dtype=np.float64).tofile(f) + pos = f.tell() + assert_equal(pos, 10, err_msg=err_msg) + + def test_load_object_array_fromfile(self, tmp_filename): + # gh-12300 + with open(tmp_filename, 'w') as f: + # Ensure we have a file with consistent contents + pass + + with open(tmp_filename, 'rb') as f: + assert_raises_regex(ValueError, "Cannot read into object array", + np.fromfile, f, dtype=object) + + assert_raises_regex(ValueError, "Cannot read into object array", + np.fromfile, tmp_filename, dtype=object) + + def test_fromfile_offset(self, x, tmp_filename): + with open(tmp_filename, 'wb') as f: + x.tofile(f) + + with open(tmp_filename, 'rb') as f: + y = np.fromfile(f, dtype=x.dtype, offset=0) + assert_array_equal(y, x.flat) + + with open(tmp_filename, 'rb') as f: + count_items = len(x.flat) // 8 + offset_items = len(x.flat) // 4 + offset_bytes = x.dtype.itemsize * offset_items + y = np.fromfile( + f, dtype=x.dtype, count=count_items, offset=offset_bytes + ) + assert_array_equal( + y, x.flat[offset_items:offset_items+count_items] + ) + + # subsequent seeks should stack + offset_bytes = x.dtype.itemsize + z = np.fromfile(f, dtype=x.dtype, offset=offset_bytes) + assert_array_equal(z, x.flat[offset_items+count_items+1:]) + + with open(tmp_filename, 'wb') as f: + x.tofile(f, sep=",") + + with open(tmp_filename, 'rb') as f: + assert_raises_regex( + TypeError, + "'offset' argument only permitted for binary files", + np.fromfile, tmp_filename, dtype=x.dtype, + sep=",", offset=1) + + @pytest.mark.skipif(IS_PYPY, reason="bug in PyPy's PyNumber_AsSsize_t") + def test_fromfile_bad_dup(self, x, tmp_filename): + def dup_str(fd): + return 'abc' + + def dup_bigint(fd): + return 2**68 + + old_dup = os.dup + try: + with open(tmp_filename, 'wb') as f: + x.tofile(f) + for dup, exc in ((dup_str, TypeError), (dup_bigint, OSError)): + os.dup = dup + assert_raises(exc, np.fromfile, f) + finally: + os.dup = old_dup + + def _check_from(self, s, value, filename, **kw): + if 'sep' not in kw: + y = np.frombuffer(s, **kw) + else: + y = np.fromstring(s, **kw) + assert_array_equal(y, value) + + with open(filename, 'wb') as f: + f.write(s) + y = np.fromfile(filename, **kw) + assert_array_equal(y, value) + + @pytest.fixture(params=["period", "comma"]) + def decimal_sep_localization(self, request): + """ + Including this fixture in a test will automatically + execute it with both types of decimal separator. + + So:: + + def test_decimal(decimal_sep_localization): + pass + + is equivalent to the following two tests:: + + def test_decimal_period_separator(): + pass + + def test_decimal_comma_separator(): + with CommaDecimalPointLocale(): + pass + """ + if request.param == "period": + yield + elif request.param == "comma": + with CommaDecimalPointLocale(): + yield + else: + assert False, request.param + + def test_nan(self, tmp_filename, decimal_sep_localization): + self._check_from( + b"nan +nan -nan NaN nan(foo) +NaN(BAR) -NAN(q_u_u_x_)", + [np.nan, np.nan, np.nan, np.nan, np.nan, np.nan, np.nan], + tmp_filename, + sep=' ') + + def test_inf(self, tmp_filename, decimal_sep_localization): + self._check_from( + b"inf +inf -inf infinity -Infinity iNfInItY -inF", + [np.inf, np.inf, -np.inf, np.inf, -np.inf, np.inf, -np.inf], + tmp_filename, + sep=' ') + + def test_numbers(self, tmp_filename, decimal_sep_localization): + self._check_from( + b"1.234 -1.234 .3 .3e55 -123133.1231e+133", + [1.234, -1.234, .3, .3e55, -123133.1231e+133], + tmp_filename, + sep=' ') + + def test_binary(self, tmp_filename): + self._check_from( + b'\x00\x00\x80?\x00\x00\x00@\x00\x00@@\x00\x00\x80@', + np.array([1, 2, 3, 4]), + tmp_filename, + dtype='']) + @pytest.mark.parametrize('dtype', [float, int, complex]) + def test_basic(self, byteorder, dtype): + dt = np.dtype(dtype).newbyteorder(byteorder) + x = (np.random.random((4, 7)) * 5).astype(dt) + buf = x.tobytes() + assert_array_equal(np.frombuffer(buf, dtype=dt), x.flat) + + @pytest.mark.parametrize("obj", [np.arange(10), b"12345678"]) + def test_array_base(self, obj): + # Objects (including NumPy arrays), which do not use the + # `release_buffer` slot should be directly used as a base object. + # See also gh-21612 + new = np.frombuffer(obj) + assert new.base is obj + + def test_empty(self): + assert_array_equal(np.frombuffer(b''), np.array([])) + + @pytest.mark.skipif(IS_PYPY, + reason="PyPy's memoryview currently does not track exports. See: " + "https://foss.heptapod.net/pypy/pypy/-/issues/3724") + def test_mmap_close(self): + # The old buffer protocol was not safe for some things that the new + # one is. But `frombuffer` always used the old one for a long time. + # Checks that it is safe with the new one (using memoryviews) + with tempfile.TemporaryFile(mode='wb') as tmp: + tmp.write(b"asdf") + tmp.flush() + mm = mmap.mmap(tmp.fileno(), 0) + arr = np.frombuffer(mm, dtype=np.uint8) + with pytest.raises(BufferError): + mm.close() # cannot close while array uses the buffer + del arr + mm.close() + +class TestFlat: + def setup_method(self): + a0 = np.arange(20.0) + a = a0.reshape(4, 5) + a0.shape = (4, 5) + a.flags.writeable = False + self.a = a + self.b = a[::2, ::2] + self.a0 = a0 + self.b0 = a0[::2, ::2] + + def test_contiguous(self): + testpassed = False + try: + self.a.flat[12] = 100.0 + except ValueError: + testpassed = True + assert_(testpassed) + assert_(self.a.flat[12] == 12.0) + + def test_discontiguous(self): + testpassed = False + try: + self.b.flat[4] = 100.0 + except ValueError: + testpassed = True + assert_(testpassed) + assert_(self.b.flat[4] == 12.0) + + def test___array__(self): + c = self.a.flat.__array__() + d = self.b.flat.__array__() + e = self.a0.flat.__array__() + f = self.b0.flat.__array__() + + assert_(c.flags.writeable is False) + assert_(d.flags.writeable is False) + assert_(e.flags.writeable is True) + assert_(f.flags.writeable is False) + assert_(c.flags.writebackifcopy is False) + assert_(d.flags.writebackifcopy is False) + assert_(e.flags.writebackifcopy is False) + assert_(f.flags.writebackifcopy is False) + + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + def test_refcount(self): + # includes regression test for reference count error gh-13165 + inds = [np.intp(0), np.array([True]*self.a.size), np.array([0]), None] + indtype = np.dtype(np.intp) + rc_indtype = sys.getrefcount(indtype) + for ind in inds: + rc_ind = sys.getrefcount(ind) + for _ in range(100): + try: + self.a.flat[ind] + except IndexError: + pass + assert_(abs(sys.getrefcount(ind) - rc_ind) < 50) + assert_(abs(sys.getrefcount(indtype) - rc_indtype) < 50) + + def test_index_getset(self): + it = np.arange(10).reshape(2, 1, 5).flat + with pytest.raises(AttributeError): + it.index = 10 + + for _ in it: + pass + # Check the value of `.index` is updated correctly (see also gh-19153) + # If the type was incorrect, this would show up on big-endian machines + assert it.index == it.base.size + + def test_maxdims(self): + # The flat iterator and thus attribute is currently unfortunately + # limited to only 32 dimensions (after bumping it to 64 for 2.0) + a = np.ones((1,) * 64) + + with pytest.raises(RuntimeError, + match=".*32 dimensions but the array has 64"): + a.flat + + +class TestResize: + + @_no_tracing + def test_basic(self): + x = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]]) + if IS_PYPY: + x.resize((5, 5), refcheck=False) + else: + x.resize((5, 5)) + assert_array_equal(x.flat[:9], + np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]]).flat) + assert_array_equal(x[9:].flat, 0) + + def test_check_reference(self): + x = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]]) + y = x + assert_raises(ValueError, x.resize, (5, 1)) + del y # avoid pyflakes unused variable warning. + + @_no_tracing + def test_int_shape(self): + x = np.eye(3) + if IS_PYPY: + x.resize(3, refcheck=False) + else: + x.resize(3) + assert_array_equal(x, np.eye(3)[0,:]) + + def test_none_shape(self): + x = np.eye(3) + x.resize(None) + assert_array_equal(x, np.eye(3)) + x.resize() + assert_array_equal(x, np.eye(3)) + + def test_0d_shape(self): + # to it multiple times to test it does not break alloc cache gh-9216 + for i in range(10): + x = np.empty((1,)) + x.resize(()) + assert_equal(x.shape, ()) + assert_equal(x.size, 1) + x = np.empty(()) + x.resize((1,)) + assert_equal(x.shape, (1,)) + assert_equal(x.size, 1) + + def test_invalid_arguments(self): + assert_raises(TypeError, np.eye(3).resize, 'hi') + assert_raises(ValueError, np.eye(3).resize, -1) + assert_raises(TypeError, np.eye(3).resize, order=1) + assert_raises(TypeError, np.eye(3).resize, refcheck='hi') + + @_no_tracing + def test_freeform_shape(self): + x = np.eye(3) + if IS_PYPY: + x.resize(3, 2, 1, refcheck=False) + else: + x.resize(3, 2, 1) + assert_(x.shape == (3, 2, 1)) + + @_no_tracing + def test_zeros_appended(self): + x = np.eye(3) + if IS_PYPY: + x.resize(2, 3, 3, refcheck=False) + else: + x.resize(2, 3, 3) + assert_array_equal(x[0], np.eye(3)) + assert_array_equal(x[1], np.zeros((3, 3))) + + @_no_tracing + def test_obj_obj(self): + # check memory is initialized on resize, gh-4857 + a = np.ones(10, dtype=[('k', object, 2)]) + if IS_PYPY: + a.resize(15, refcheck=False) + else: + a.resize(15,) + assert_equal(a.shape, (15,)) + assert_array_equal(a['k'][-5:], 0) + assert_array_equal(a['k'][:-5], 1) + + def test_empty_view(self): + # check that sizes containing a zero don't trigger a reallocate for + # already empty arrays + x = np.zeros((10, 0), int) + x_view = x[...] + x_view.resize((0, 10)) + x_view.resize((0, 100)) + + def test_check_weakref(self): + x = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]]) + xref = weakref.ref(x) + assert_raises(ValueError, x.resize, (5, 1)) + del xref # avoid pyflakes unused variable warning. + + +class TestRecord: + def test_field_rename(self): + dt = np.dtype([('f', float), ('i', int)]) + dt.names = ['p', 'q'] + assert_equal(dt.names, ['p', 'q']) + + def test_multiple_field_name_occurrence(self): + def test_dtype_init(): + np.dtype([("A", "f8"), ("B", "f8"), ("A", "f8")]) + + # Error raised when multiple fields have the same name + assert_raises(ValueError, test_dtype_init) + + def test_bytes_fields(self): + # Bytes are not allowed in field names and not recognized in titles + # on Py3 + assert_raises(TypeError, np.dtype, [(b'a', int)]) + assert_raises(TypeError, np.dtype, [(('b', b'a'), int)]) + + dt = np.dtype([((b'a', 'b'), int)]) + assert_raises(TypeError, dt.__getitem__, b'a') + + x = np.array([(1,), (2,), (3,)], dtype=dt) + assert_raises(IndexError, x.__getitem__, b'a') + + y = x[0] + assert_raises(IndexError, y.__getitem__, b'a') + + def test_multiple_field_name_unicode(self): + def test_dtype_unicode(): + np.dtype([("\u20B9", "f8"), ("B", "f8"), ("\u20B9", "f8")]) + + # Error raised when multiple fields have the same name(unicode included) + assert_raises(ValueError, test_dtype_unicode) + + def test_fromarrays_unicode(self): + # A single name string provided to fromarrays() is allowed to be unicode + # on both Python 2 and 3: + x = np._core.records.fromarrays( + [[0], [1]], names='a,b', formats='i4,i4') + assert_equal(x['a'][0], 0) + assert_equal(x['b'][0], 1) + + def test_unicode_order(self): + # Test that we can sort with order as a unicode field name in both Python 2 and + # 3: + name = 'b' + x = np.array([1, 3, 2], dtype=[(name, int)]) + x.sort(order=name) + assert_equal(x['b'], np.array([1, 2, 3])) + + def test_field_names(self): + # Test unicode and 8-bit / byte strings can be used + a = np.zeros((1,), dtype=[('f1', 'i4'), + ('f2', 'i4'), + ('f3', [('sf1', 'i4')])]) + # byte string indexing fails gracefully + assert_raises(IndexError, a.__setitem__, b'f1', 1) + assert_raises(IndexError, a.__getitem__, b'f1') + assert_raises(IndexError, a['f1'].__setitem__, b'sf1', 1) + assert_raises(IndexError, a['f1'].__getitem__, b'sf1') + b = a.copy() + fn1 = str('f1') + b[fn1] = 1 + assert_equal(b[fn1], 1) + fnn = str('not at all') + assert_raises(ValueError, b.__setitem__, fnn, 1) + assert_raises(ValueError, b.__getitem__, fnn) + b[0][fn1] = 2 + assert_equal(b[fn1], 2) + # Subfield + assert_raises(ValueError, b[0].__setitem__, fnn, 1) + assert_raises(ValueError, b[0].__getitem__, fnn) + # Subfield + fn3 = str('f3') + sfn1 = str('sf1') + b[fn3][sfn1] = 1 + assert_equal(b[fn3][sfn1], 1) + assert_raises(ValueError, b[fn3].__setitem__, fnn, 1) + assert_raises(ValueError, b[fn3].__getitem__, fnn) + # multiple subfields + fn2 = str('f2') + b[fn2] = 3 + + assert_equal(b[['f1', 'f2']][0].tolist(), (2, 3)) + assert_equal(b[['f2', 'f1']][0].tolist(), (3, 2)) + assert_equal(b[['f1', 'f3']][0].tolist(), (2, (1,))) + + # non-ascii unicode field indexing is well behaved + assert_raises(ValueError, a.__setitem__, '\u03e0', 1) + assert_raises(ValueError, a.__getitem__, '\u03e0') + + def test_record_hash(self): + a = np.array([(1, 2), (1, 2)], dtype='i1,i2') + a.flags.writeable = False + b = np.array([(1, 2), (3, 4)], dtype=[('num1', 'i1'), ('num2', 'i2')]) + b.flags.writeable = False + c = np.array([(1, 2), (3, 4)], dtype='i1,i2') + c.flags.writeable = False + assert_(hash(a[0]) == hash(a[1])) + assert_(hash(a[0]) == hash(b[0])) + assert_(hash(a[0]) != hash(b[1])) + assert_(hash(c[0]) == hash(a[0]) and c[0] == a[0]) + + def test_record_no_hash(self): + a = np.array([(1, 2), (1, 2)], dtype='i1,i2') + assert_raises(TypeError, hash, a[0]) + + def test_empty_structure_creation(self): + # make sure these do not raise errors (gh-5631) + np.array([()], dtype={'names': [], 'formats': [], + 'offsets': [], 'itemsize': 12}) + np.array([(), (), (), (), ()], dtype={'names': [], 'formats': [], + 'offsets': [], 'itemsize': 12}) + + def test_multifield_indexing_view(self): + a = np.ones(3, dtype=[('a', 'i4'), ('b', 'f4'), ('c', 'u4')]) + v = a[['a', 'c']] + assert_(v.base is a) + assert_(v.dtype == np.dtype({'names': ['a', 'c'], + 'formats': ['i4', 'u4'], + 'offsets': [0, 8]})) + v[:] = (4,5) + assert_equal(a[0].item(), (4, 1, 5)) + +class TestView: + def test_basic(self): + x = np.array([(1, 2, 3, 4), (5, 6, 7, 8)], + dtype=[('r', np.int8), ('g', np.int8), + ('b', np.int8), ('a', np.int8)]) + # We must be specific about the endianness here: + y = x.view(dtype=' 0) + assert_(issubclass(w[0].category, RuntimeWarning)) + + def test_empty(self): + A = np.zeros((0, 3)) + for f in self.funcs: + for axis in [0, None]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_(np.isnan(f(A, axis=axis)).all()) + assert_(len(w) > 0) + assert_(issubclass(w[0].category, RuntimeWarning)) + for axis in [1]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_equal(f(A, axis=axis), np.zeros([])) + + def test_mean_values(self): + for mat in [self.rmat, self.cmat, self.omat]: + for axis in [0, 1]: + tgt = mat.sum(axis=axis) + res = _mean(mat, axis=axis) * mat.shape[axis] + assert_almost_equal(res, tgt) + for axis in [None]: + tgt = mat.sum(axis=axis) + res = _mean(mat, axis=axis) * np.prod(mat.shape) + assert_almost_equal(res, tgt) + + def test_mean_float16(self): + # This fail if the sum inside mean is done in float16 instead + # of float32. + assert_(_mean(np.ones(100000, dtype='float16')) == 1) + + def test_mean_axis_error(self): + # Ensure that AxisError is raised instead of IndexError when axis is + # out of bounds, see gh-15817. + with assert_raises(np.exceptions.AxisError): + np.arange(10).mean(axis=2) + + def test_mean_where(self): + a = np.arange(16).reshape((4, 4)) + wh_full = np.array([[False, True, False, True], + [True, False, True, False], + [True, True, False, False], + [False, False, True, True]]) + wh_partial = np.array([[False], + [True], + [True], + [False]]) + _cases = [(1, True, [1.5, 5.5, 9.5, 13.5]), + (0, wh_full, [6., 5., 10., 9.]), + (1, wh_full, [2., 5., 8.5, 14.5]), + (0, wh_partial, [6., 7., 8., 9.])] + for _ax, _wh, _res in _cases: + assert_allclose(a.mean(axis=_ax, where=_wh), + np.array(_res)) + assert_allclose(np.mean(a, axis=_ax, where=_wh), + np.array(_res)) + + a3d = np.arange(16).reshape((2, 2, 4)) + _wh_partial = np.array([False, True, True, False]) + _res = [[1.5, 5.5], [9.5, 13.5]] + assert_allclose(a3d.mean(axis=2, where=_wh_partial), + np.array(_res)) + assert_allclose(np.mean(a3d, axis=2, where=_wh_partial), + np.array(_res)) + + with pytest.warns(RuntimeWarning) as w: + assert_allclose(a.mean(axis=1, where=wh_partial), + np.array([np.nan, 5.5, 9.5, np.nan])) + with pytest.warns(RuntimeWarning) as w: + assert_equal(a.mean(where=False), np.nan) + with pytest.warns(RuntimeWarning) as w: + assert_equal(np.mean(a, where=False), np.nan) + + def test_var_values(self): + for mat in [self.rmat, self.cmat, self.omat]: + for axis in [0, 1, None]: + msqr = _mean(mat * mat.conj(), axis=axis) + mean = _mean(mat, axis=axis) + tgt = msqr - mean * mean.conjugate() + res = _var(mat, axis=axis) + assert_almost_equal(res, tgt) + + @pytest.mark.parametrize(('complex_dtype', 'ndec'), ( + ('complex64', 6), + ('complex128', 7), + ('clongdouble', 7), + )) + def test_var_complex_values(self, complex_dtype, ndec): + # Test fast-paths for every builtin complex type + for axis in [0, 1, None]: + mat = self.cmat.copy().astype(complex_dtype) + msqr = _mean(mat * mat.conj(), axis=axis) + mean = _mean(mat, axis=axis) + tgt = msqr - mean * mean.conjugate() + res = _var(mat, axis=axis) + assert_almost_equal(res, tgt, decimal=ndec) + + def test_var_dimensions(self): + # _var paths for complex number introduce additions on views that + # increase dimensions. Ensure this generalizes to higher dims + mat = np.stack([self.cmat]*3) + for axis in [0, 1, 2, -1, None]: + msqr = _mean(mat * mat.conj(), axis=axis) + mean = _mean(mat, axis=axis) + tgt = msqr - mean * mean.conjugate() + res = _var(mat, axis=axis) + assert_almost_equal(res, tgt) + + def test_var_complex_byteorder(self): + # Test that var fast-path does not cause failures for complex arrays + # with non-native byteorder + cmat = self.cmat.copy().astype('complex128') + cmat_swapped = cmat.astype(cmat.dtype.newbyteorder()) + assert_almost_equal(cmat.var(), cmat_swapped.var()) + + def test_var_axis_error(self): + # Ensure that AxisError is raised instead of IndexError when axis is + # out of bounds, see gh-15817. + with assert_raises(np.exceptions.AxisError): + np.arange(10).var(axis=2) + + def test_var_where(self): + a = np.arange(25).reshape((5, 5)) + wh_full = np.array([[False, True, False, True, True], + [True, False, True, True, False], + [True, True, False, False, True], + [False, True, True, False, True], + [True, False, True, True, False]]) + wh_partial = np.array([[False], + [True], + [True], + [False], + [True]]) + _cases = [(0, True, [50., 50., 50., 50., 50.]), + (1, True, [2., 2., 2., 2., 2.])] + for _ax, _wh, _res in _cases: + assert_allclose(a.var(axis=_ax, where=_wh), + np.array(_res)) + assert_allclose(np.var(a, axis=_ax, where=_wh), + np.array(_res)) + + a3d = np.arange(16).reshape((2, 2, 4)) + _wh_partial = np.array([False, True, True, False]) + _res = [[0.25, 0.25], [0.25, 0.25]] + assert_allclose(a3d.var(axis=2, where=_wh_partial), + np.array(_res)) + assert_allclose(np.var(a3d, axis=2, where=_wh_partial), + np.array(_res)) + + assert_allclose(np.var(a, axis=1, where=wh_full), + np.var(a[wh_full].reshape((5, 3)), axis=1)) + assert_allclose(np.var(a, axis=0, where=wh_partial), + np.var(a[wh_partial[:,0]], axis=0)) + with pytest.warns(RuntimeWarning) as w: + assert_equal(a.var(where=False), np.nan) + with pytest.warns(RuntimeWarning) as w: + assert_equal(np.var(a, where=False), np.nan) + + def test_std_values(self): + for mat in [self.rmat, self.cmat, self.omat]: + for axis in [0, 1, None]: + tgt = np.sqrt(_var(mat, axis=axis)) + res = _std(mat, axis=axis) + assert_almost_equal(res, tgt) + + def test_std_where(self): + a = np.arange(25).reshape((5,5))[::-1] + whf = np.array([[False, True, False, True, True], + [True, False, True, False, True], + [True, True, False, True, False], + [True, False, True, True, False], + [False, True, False, True, True]]) + whp = np.array([[False], + [False], + [True], + [True], + [False]]) + _cases = [ + (0, True, 7.07106781*np.ones(5)), + (1, True, 1.41421356*np.ones(5)), + (0, whf, + np.array([4.0824829 , 8.16496581, 5., 7.39509973, 8.49836586])), + (0, whp, 2.5*np.ones(5)) + ] + for _ax, _wh, _res in _cases: + assert_allclose(a.std(axis=_ax, where=_wh), _res) + assert_allclose(np.std(a, axis=_ax, where=_wh), _res) + + a3d = np.arange(16).reshape((2, 2, 4)) + _wh_partial = np.array([False, True, True, False]) + _res = [[0.5, 0.5], [0.5, 0.5]] + assert_allclose(a3d.std(axis=2, where=_wh_partial), + np.array(_res)) + assert_allclose(np.std(a3d, axis=2, where=_wh_partial), + np.array(_res)) + + assert_allclose(a.std(axis=1, where=whf), + np.std(a[whf].reshape((5,3)), axis=1)) + assert_allclose(np.std(a, axis=1, where=whf), + (a[whf].reshape((5,3))).std(axis=1)) + assert_allclose(a.std(axis=0, where=whp), + np.std(a[whp[:,0]], axis=0)) + assert_allclose(np.std(a, axis=0, where=whp), + (a[whp[:,0]]).std(axis=0)) + with pytest.warns(RuntimeWarning) as w: + assert_equal(a.std(where=False), np.nan) + with pytest.warns(RuntimeWarning) as w: + assert_equal(np.std(a, where=False), np.nan) + + def test_subclass(self): + class TestArray(np.ndarray): + def __new__(cls, data, info): + result = np.array(data) + result = result.view(cls) + result.info = info + return result + + def __array_finalize__(self, obj): + self.info = getattr(obj, "info", '') + + dat = TestArray([[1, 2, 3, 4], [5, 6, 7, 8]], 'jubba') + res = dat.mean(1) + assert_(res.info == dat.info) + res = dat.std(1) + assert_(res.info == dat.info) + res = dat.var(1) + assert_(res.info == dat.info) + + +class TestVdot: + def test_basic(self): + dt_numeric = np.typecodes['AllFloat'] + np.typecodes['AllInteger'] + dt_complex = np.typecodes['Complex'] + + # test real + a = np.eye(3) + for dt in dt_numeric + 'O': + b = a.astype(dt) + res = np.vdot(b, b) + assert_(np.isscalar(res)) + assert_equal(np.vdot(b, b), 3) + + # test complex + a = np.eye(3) * 1j + for dt in dt_complex + 'O': + b = a.astype(dt) + res = np.vdot(b, b) + assert_(np.isscalar(res)) + assert_equal(np.vdot(b, b), 3) + + # test boolean + b = np.eye(3, dtype=bool) + res = np.vdot(b, b) + assert_(np.isscalar(res)) + assert_equal(np.vdot(b, b), True) + + def test_vdot_array_order(self): + a = np.array([[1, 2], [3, 4]], order='C') + b = np.array([[1, 2], [3, 4]], order='F') + res = np.vdot(a, a) + + # integer arrays are exact + assert_equal(np.vdot(a, b), res) + assert_equal(np.vdot(b, a), res) + assert_equal(np.vdot(b, b), res) + + def test_vdot_uncontiguous(self): + for size in [2, 1000]: + # Different sizes match different branches in vdot. + a = np.zeros((size, 2, 2)) + b = np.zeros((size, 2, 2)) + a[:, 0, 0] = np.arange(size) + b[:, 0, 0] = np.arange(size) + 1 + # Make a and b uncontiguous: + a = a[..., 0] + b = b[..., 0] + + assert_equal(np.vdot(a, b), + np.vdot(a.flatten(), b.flatten())) + assert_equal(np.vdot(a, b.copy()), + np.vdot(a.flatten(), b.flatten())) + assert_equal(np.vdot(a.copy(), b), + np.vdot(a.flatten(), b.flatten())) + assert_equal(np.vdot(a.copy('F'), b), + np.vdot(a.flatten(), b.flatten())) + assert_equal(np.vdot(a, b.copy('F')), + np.vdot(a.flatten(), b.flatten())) + + +class TestDot: + def setup_method(self): + np.random.seed(128) + self.A = np.random.rand(4, 2) + self.b1 = np.random.rand(2, 1) + self.b2 = np.random.rand(2) + self.b3 = np.random.rand(1, 2) + self.b4 = np.random.rand(4) + self.N = 7 + + def test_dotmatmat(self): + A = self.A + res = np.dot(A.transpose(), A) + tgt = np.array([[1.45046013, 0.86323640], + [0.86323640, 0.84934569]]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotmatvec(self): + A, b1 = self.A, self.b1 + res = np.dot(A, b1) + tgt = np.array([[0.32114320], [0.04889721], + [0.15696029], [0.33612621]]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotmatvec2(self): + A, b2 = self.A, self.b2 + res = np.dot(A, b2) + tgt = np.array([0.29677940, 0.04518649, 0.14468333, 0.31039293]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotvecmat(self): + A, b4 = self.A, self.b4 + res = np.dot(b4, A) + tgt = np.array([1.23495091, 1.12222648]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotvecmat2(self): + b3, A = self.b3, self.A + res = np.dot(b3, A.transpose()) + tgt = np.array([[0.58793804, 0.08957460, 0.30605758, 0.62716383]]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotvecmat3(self): + A, b4 = self.A, self.b4 + res = np.dot(A.transpose(), b4) + tgt = np.array([1.23495091, 1.12222648]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotvecvecouter(self): + b1, b3 = self.b1, self.b3 + res = np.dot(b1, b3) + tgt = np.array([[0.20128610, 0.08400440], [0.07190947, 0.03001058]]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotvecvecinner(self): + b1, b3 = self.b1, self.b3 + res = np.dot(b3, b1) + tgt = np.array([[ 0.23129668]]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotcolumnvect1(self): + b1 = np.ones((3, 1)) + b2 = [5.3] + res = np.dot(b1, b2) + tgt = np.array([5.3, 5.3, 5.3]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotcolumnvect2(self): + b1 = np.ones((3, 1)).transpose() + b2 = [6.2] + res = np.dot(b2, b1) + tgt = np.array([6.2, 6.2, 6.2]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotvecscalar(self): + np.random.seed(100) + b1 = np.random.rand(1, 1) + b2 = np.random.rand(1, 4) + res = np.dot(b1, b2) + tgt = np.array([[0.15126730, 0.23068496, 0.45905553, 0.00256425]]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_dotvecscalar2(self): + np.random.seed(100) + b1 = np.random.rand(4, 1) + b2 = np.random.rand(1, 1) + res = np.dot(b1, b2) + tgt = np.array([[0.00256425],[0.00131359],[0.00200324],[ 0.00398638]]) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_all(self): + dims = [(), (1,), (1, 1)] + dout = [(), (1,), (1, 1), (1,), (), (1,), (1, 1), (1,), (1, 1)] + for dim, (dim1, dim2) in zip(dout, itertools.product(dims, dims)): + b1 = np.zeros(dim1) + b2 = np.zeros(dim2) + res = np.dot(b1, b2) + tgt = np.zeros(dim) + assert_(res.shape == tgt.shape) + assert_almost_equal(res, tgt, decimal=self.N) + + def test_vecobject(self): + class Vec: + def __init__(self, sequence=None): + if sequence is None: + sequence = [] + self.array = np.array(sequence) + + def __add__(self, other): + out = Vec() + out.array = self.array + other.array + return out + + def __sub__(self, other): + out = Vec() + out.array = self.array - other.array + return out + + def __mul__(self, other): # with scalar + out = Vec(self.array.copy()) + out.array *= other + return out + + def __rmul__(self, other): + return self*other + + U_non_cont = np.transpose([[1., 1.], [1., 2.]]) + U_cont = np.ascontiguousarray(U_non_cont) + x = np.array([Vec([1., 0.]), Vec([0., 1.])]) + zeros = np.array([Vec([0., 0.]), Vec([0., 0.])]) + zeros_test = np.dot(U_cont, x) - np.dot(U_non_cont, x) + assert_equal(zeros[0].array, zeros_test[0].array) + assert_equal(zeros[1].array, zeros_test[1].array) + + def test_dot_2args(self): + + a = np.array([[1, 2], [3, 4]], dtype=float) + b = np.array([[1, 0], [1, 1]], dtype=float) + c = np.array([[3, 2], [7, 4]], dtype=float) + + d = dot(a, b) + assert_allclose(c, d) + + def test_dot_3args(self): + + np.random.seed(22) + f = np.random.random_sample((1024, 16)) + v = np.random.random_sample((16, 32)) + + r = np.empty((1024, 32)) + for i in range(12): + dot(f, v, r) + if HAS_REFCOUNT: + assert_equal(sys.getrefcount(r), 2) + r2 = dot(f, v, out=None) + assert_array_equal(r2, r) + assert_(r is dot(f, v, out=r)) + + v = v[:, 0].copy() # v.shape == (16,) + r = r[:, 0].copy() # r.shape == (1024,) + r2 = dot(f, v) + assert_(r is dot(f, v, r)) + assert_array_equal(r2, r) + + def test_dot_3args_errors(self): + + np.random.seed(22) + f = np.random.random_sample((1024, 16)) + v = np.random.random_sample((16, 32)) + + r = np.empty((1024, 31)) + assert_raises(ValueError, dot, f, v, r) + + r = np.empty((1024,)) + assert_raises(ValueError, dot, f, v, r) + + r = np.empty((32,)) + assert_raises(ValueError, dot, f, v, r) + + r = np.empty((32, 1024)) + assert_raises(ValueError, dot, f, v, r) + assert_raises(ValueError, dot, f, v, r.T) + + r = np.empty((1024, 64)) + assert_raises(ValueError, dot, f, v, r[:, ::2]) + assert_raises(ValueError, dot, f, v, r[:, :32]) + + r = np.empty((1024, 32), dtype=np.float32) + assert_raises(ValueError, dot, f, v, r) + + r = np.empty((1024, 32), dtype=int) + assert_raises(ValueError, dot, f, v, r) + + def test_dot_out_result(self): + x = np.ones((), dtype=np.float16) + y = np.ones((5,), dtype=np.float16) + z = np.zeros((5,), dtype=np.float16) + res = x.dot(y, out=z) + assert np.array_equal(res, y) + assert np.array_equal(z, y) + + def test_dot_out_aliasing(self): + x = np.ones((), dtype=np.float16) + y = np.ones((5,), dtype=np.float16) + z = np.zeros((5,), dtype=np.float16) + res = x.dot(y, out=z) + z[0] = 2 + assert np.array_equal(res, z) + + def test_dot_array_order(self): + a = np.array([[1, 2], [3, 4]], order='C') + b = np.array([[1, 2], [3, 4]], order='F') + res = np.dot(a, a) + + # integer arrays are exact + assert_equal(np.dot(a, b), res) + assert_equal(np.dot(b, a), res) + assert_equal(np.dot(b, b), res) + + def test_accelerate_framework_sgemv_fix(self): + + def aligned_array(shape, align, dtype, order='C'): + d = dtype(0) + N = np.prod(shape) + tmp = np.zeros(N * d.nbytes + align, dtype=np.uint8) + address = tmp.__array_interface__["data"][0] + for offset in range(align): + if (address + offset) % align == 0: + break + tmp = tmp[offset:offset+N*d.nbytes].view(dtype=dtype) + return tmp.reshape(shape, order=order) + + def as_aligned(arr, align, dtype, order='C'): + aligned = aligned_array(arr.shape, align, dtype, order) + aligned[:] = arr[:] + return aligned + + def assert_dot_close(A, X, desired): + assert_allclose(np.dot(A, X), desired, rtol=1e-5, atol=1e-7) + + m = aligned_array(100, 15, np.float32) + s = aligned_array((100, 100), 15, np.float32) + np.dot(s, m) # this will always segfault if the bug is present + + testdata = itertools.product((15, 32), (10000,), (200, 89), ('C', 'F')) + for align, m, n, a_order in testdata: + # Calculation in double precision + A_d = np.random.rand(m, n) + X_d = np.random.rand(n) + desired = np.dot(A_d, X_d) + # Calculation with aligned single precision + A_f = as_aligned(A_d, align, np.float32, order=a_order) + X_f = as_aligned(X_d, align, np.float32) + assert_dot_close(A_f, X_f, desired) + # Strided A rows + A_d_2 = A_d[::2] + desired = np.dot(A_d_2, X_d) + A_f_2 = A_f[::2] + assert_dot_close(A_f_2, X_f, desired) + # Strided A columns, strided X vector + A_d_22 = A_d_2[:, ::2] + X_d_2 = X_d[::2] + desired = np.dot(A_d_22, X_d_2) + A_f_22 = A_f_2[:, ::2] + X_f_2 = X_f[::2] + assert_dot_close(A_f_22, X_f_2, desired) + # Check the strides are as expected + if a_order == 'F': + assert_equal(A_f_22.strides, (8, 8 * m)) + else: + assert_equal(A_f_22.strides, (8 * n, 8)) + assert_equal(X_f_2.strides, (8,)) + # Strides in A rows + cols only + X_f_2c = as_aligned(X_f_2, align, np.float32) + assert_dot_close(A_f_22, X_f_2c, desired) + # Strides just in A cols + A_d_12 = A_d[:, ::2] + desired = np.dot(A_d_12, X_d_2) + A_f_12 = A_f[:, ::2] + assert_dot_close(A_f_12, X_f_2c, desired) + # Strides in A cols and X + assert_dot_close(A_f_12, X_f_2, desired) + + @pytest.mark.slow + @pytest.mark.parametrize("dtype", [np.float64, np.complex128]) + @requires_memory(free_bytes=18e9) # complex case needs 18GiB+ + def test_huge_vectordot(self, dtype): + # Large vector multiplications are chunked with 32bit BLAS + # Test that the chunking does the right thing, see also gh-22262 + data = np.ones(2**30+100, dtype=dtype) + res = np.dot(data, data) + assert res == 2**30+100 + + def test_dtype_discovery_fails(self): + # See gh-14247, error checking was missing for failed dtype discovery + class BadObject: + def __array__(self, dtype=None, copy=None): + raise TypeError("just this tiny mint leaf") + + with pytest.raises(TypeError): + np.dot(BadObject(), BadObject()) + + with pytest.raises(TypeError): + np.dot(3.0, BadObject()) + + +class MatmulCommon: + """Common tests for '@' operator and numpy.matmul. + + """ + # Should work with these types. Will want to add + # "O" at some point + types = "?bhilqBHILQefdgFDGO" + + def test_exceptions(self): + dims = [ + ((1,), (2,)), # mismatched vector vector + ((2, 1,), (2,)), # mismatched matrix vector + ((2,), (1, 2)), # mismatched vector matrix + ((1, 2), (3, 1)), # mismatched matrix matrix + ((1,), ()), # vector scalar + ((), (1)), # scalar vector + ((1, 1), ()), # matrix scalar + ((), (1, 1)), # scalar matrix + ((2, 2, 1), (3, 1, 2)), # cannot broadcast + ] + + for dt, (dm1, dm2) in itertools.product(self.types, dims): + a = np.ones(dm1, dtype=dt) + b = np.ones(dm2, dtype=dt) + assert_raises(ValueError, self.matmul, a, b) + + def test_shapes(self): + dims = [ + ((1, 1), (2, 1, 1)), # broadcast first argument + ((2, 1, 1), (1, 1)), # broadcast second argument + ((2, 1, 1), (2, 1, 1)), # matrix stack sizes match + ] + + for dt, (dm1, dm2) in itertools.product(self.types, dims): + a = np.ones(dm1, dtype=dt) + b = np.ones(dm2, dtype=dt) + res = self.matmul(a, b) + assert_(res.shape == (2, 1, 1)) + + # vector vector returns scalars. + for dt in self.types: + a = np.ones((2,), dtype=dt) + b = np.ones((2,), dtype=dt) + c = self.matmul(a, b) + assert_(np.array(c).shape == ()) + + def test_result_types(self): + mat = np.ones((1,1)) + vec = np.ones((1,)) + for dt in self.types: + m = mat.astype(dt) + v = vec.astype(dt) + for arg in [(m, v), (v, m), (m, m)]: + res = self.matmul(*arg) + assert_(res.dtype == dt) + + # vector vector returns scalars + if dt != "O": + res = self.matmul(v, v) + assert_(type(res) is np.dtype(dt).type) + + def test_scalar_output(self): + vec1 = np.array([2]) + vec2 = np.array([3, 4]).reshape(1, -1) + tgt = np.array([6, 8]) + for dt in self.types[1:]: + v1 = vec1.astype(dt) + v2 = vec2.astype(dt) + res = self.matmul(v1, v2) + assert_equal(res, tgt) + res = self.matmul(v2.T, v1) + assert_equal(res, tgt) + + # boolean type + vec = np.array([True, True], dtype='?').reshape(1, -1) + res = self.matmul(vec[:, 0], vec) + assert_equal(res, True) + + def test_vector_vector_values(self): + vec1 = np.array([1, 2]) + vec2 = np.array([3, 4]).reshape(-1, 1) + tgt1 = np.array([11]) + tgt2 = np.array([[3, 6], [4, 8]]) + for dt in self.types[1:]: + v1 = vec1.astype(dt) + v2 = vec2.astype(dt) + res = self.matmul(v1, v2) + assert_equal(res, tgt1) + # no broadcast, we must make v1 into a 2d ndarray + res = self.matmul(v2, v1.reshape(1, -1)) + assert_equal(res, tgt2) + + # boolean type + vec = np.array([True, True], dtype='?') + res = self.matmul(vec, vec) + assert_equal(res, True) + + def test_vector_matrix_values(self): + vec = np.array([1, 2]) + mat1 = np.array([[1, 2], [3, 4]]) + mat2 = np.stack([mat1]*2, axis=0) + tgt1 = np.array([7, 10]) + tgt2 = np.stack([tgt1]*2, axis=0) + for dt in self.types[1:]: + v = vec.astype(dt) + m1 = mat1.astype(dt) + m2 = mat2.astype(dt) + res = self.matmul(v, m1) + assert_equal(res, tgt1) + res = self.matmul(v, m2) + assert_equal(res, tgt2) + + # boolean type + vec = np.array([True, False]) + mat1 = np.array([[True, False], [False, True]]) + mat2 = np.stack([mat1]*2, axis=0) + tgt1 = np.array([True, False]) + tgt2 = np.stack([tgt1]*2, axis=0) + + res = self.matmul(vec, mat1) + assert_equal(res, tgt1) + res = self.matmul(vec, mat2) + assert_equal(res, tgt2) + + def test_matrix_vector_values(self): + vec = np.array([1, 2]) + mat1 = np.array([[1, 2], [3, 4]]) + mat2 = np.stack([mat1]*2, axis=0) + tgt1 = np.array([5, 11]) + tgt2 = np.stack([tgt1]*2, axis=0) + for dt in self.types[1:]: + v = vec.astype(dt) + m1 = mat1.astype(dt) + m2 = mat2.astype(dt) + res = self.matmul(m1, v) + assert_equal(res, tgt1) + res = self.matmul(m2, v) + assert_equal(res, tgt2) + + # boolean type + vec = np.array([True, False]) + mat1 = np.array([[True, False], [False, True]]) + mat2 = np.stack([mat1]*2, axis=0) + tgt1 = np.array([True, False]) + tgt2 = np.stack([tgt1]*2, axis=0) + + res = self.matmul(vec, mat1) + assert_equal(res, tgt1) + res = self.matmul(vec, mat2) + assert_equal(res, tgt2) + + def test_matrix_matrix_values(self): + mat1 = np.array([[1, 2], [3, 4]]) + mat2 = np.array([[1, 0], [1, 1]]) + mat12 = np.stack([mat1, mat2], axis=0) + mat21 = np.stack([mat2, mat1], axis=0) + tgt11 = np.array([[7, 10], [15, 22]]) + tgt12 = np.array([[3, 2], [7, 4]]) + tgt21 = np.array([[1, 2], [4, 6]]) + tgt12_21 = np.stack([tgt12, tgt21], axis=0) + tgt11_12 = np.stack((tgt11, tgt12), axis=0) + tgt11_21 = np.stack((tgt11, tgt21), axis=0) + for dt in self.types[1:]: + m1 = mat1.astype(dt) + m2 = mat2.astype(dt) + m12 = mat12.astype(dt) + m21 = mat21.astype(dt) + + # matrix @ matrix + res = self.matmul(m1, m2) + assert_equal(res, tgt12) + res = self.matmul(m2, m1) + assert_equal(res, tgt21) + + # stacked @ matrix + res = self.matmul(m12, m1) + assert_equal(res, tgt11_21) + + # matrix @ stacked + res = self.matmul(m1, m12) + assert_equal(res, tgt11_12) + + # stacked @ stacked + res = self.matmul(m12, m21) + assert_equal(res, tgt12_21) + + # boolean type + m1 = np.array([[1, 1], [0, 0]], dtype=np.bool) + m2 = np.array([[1, 0], [1, 1]], dtype=np.bool) + m12 = np.stack([m1, m2], axis=0) + m21 = np.stack([m2, m1], axis=0) + tgt11 = m1 + tgt12 = m1 + tgt21 = np.array([[1, 1], [1, 1]], dtype=np.bool) + tgt12_21 = np.stack([tgt12, tgt21], axis=0) + tgt11_12 = np.stack((tgt11, tgt12), axis=0) + tgt11_21 = np.stack((tgt11, tgt21), axis=0) + + # matrix @ matrix + res = self.matmul(m1, m2) + assert_equal(res, tgt12) + res = self.matmul(m2, m1) + assert_equal(res, tgt21) + + # stacked @ matrix + res = self.matmul(m12, m1) + assert_equal(res, tgt11_21) + + # matrix @ stacked + res = self.matmul(m1, m12) + assert_equal(res, tgt11_12) + + # stacked @ stacked + res = self.matmul(m12, m21) + assert_equal(res, tgt12_21) + + +class TestMatmul(MatmulCommon): + matmul = np.matmul + + def test_out_arg(self): + a = np.ones((5, 2), dtype=float) + b = np.array([[1, 3], [5, 7]], dtype=float) + tgt = np.dot(a, b) + + # test as positional argument + msg = "out positional argument" + out = np.zeros((5, 2), dtype=float) + self.matmul(a, b, out) + assert_array_equal(out, tgt, err_msg=msg) + + # test as keyword argument + msg = "out keyword argument" + out = np.zeros((5, 2), dtype=float) + self.matmul(a, b, out=out) + assert_array_equal(out, tgt, err_msg=msg) + + # test out with not allowed type cast (safe casting) + msg = "Cannot cast ufunc .* output" + out = np.zeros((5, 2), dtype=np.int32) + assert_raises_regex(TypeError, msg, self.matmul, a, b, out=out) + + # test out with type upcast to complex + out = np.zeros((5, 2), dtype=np.complex128) + c = self.matmul(a, b, out=out) + assert_(c is out) + with suppress_warnings() as sup: + sup.filter(ComplexWarning, '') + c = c.astype(tgt.dtype) + assert_array_equal(c, tgt) + + def test_empty_out(self): + # Check that the output cannot be broadcast, so that it cannot be + # size zero when the outer dimensions (iterator size) has size zero. + arr = np.ones((0, 1, 1)) + out = np.ones((1, 1, 1)) + assert self.matmul(arr, arr).shape == (0, 1, 1) + + with pytest.raises(ValueError, match=r"non-broadcastable"): + self.matmul(arr, arr, out=out) + + def test_out_contiguous(self): + a = np.ones((5, 2), dtype=float) + b = np.array([[1, 3], [5, 7]], dtype=float) + v = np.array([1, 3], dtype=float) + tgt = np.dot(a, b) + tgt_mv = np.dot(a, v) + + # test out non-contiguous + out = np.ones((5, 2, 2), dtype=float) + c = self.matmul(a, b, out=out[..., 0]) + assert c.base is out + assert_array_equal(c, tgt) + c = self.matmul(a, v, out=out[:, 0, 0]) + assert_array_equal(c, tgt_mv) + c = self.matmul(v, a.T, out=out[:, 0, 0]) + assert_array_equal(c, tgt_mv) + + # test out contiguous in only last dim + out = np.ones((10, 2), dtype=float) + c = self.matmul(a, b, out=out[::2, :]) + assert_array_equal(c, tgt) + + # test transposes of out, args + out = np.ones((5, 2), dtype=float) + c = self.matmul(b.T, a.T, out=out.T) + assert_array_equal(out, tgt) + + m1 = np.arange(15.).reshape(5, 3) + m2 = np.arange(21.).reshape(3, 7) + m3 = np.arange(30.).reshape(5, 6)[:, ::2] # non-contiguous + vc = np.arange(10.) + vr = np.arange(6.) + m0 = np.zeros((3, 0)) + @pytest.mark.parametrize('args', ( + # matrix-matrix + (m1, m2), (m2.T, m1.T), (m2.T.copy(), m1.T), (m2.T, m1.T.copy()), + # matrix-matrix-transpose, contiguous and non + (m1, m1.T), (m1.T, m1), (m1, m3.T), (m3, m1.T), + (m3, m3.T), (m3.T, m3), + # matrix-matrix non-contiguous + (m3, m2), (m2.T, m3.T), (m2.T.copy(), m3.T), + # vector-matrix, matrix-vector, contiguous + (m1, vr[:3]), (vc[:5], m1), (m1.T, vc[:5]), (vr[:3], m1.T), + # vector-matrix, matrix-vector, vector non-contiguous + (m1, vr[::2]), (vc[::2], m1), (m1.T, vc[::2]), (vr[::2], m1.T), + # vector-matrix, matrix-vector, matrix non-contiguous + (m3, vr[:3]), (vc[:5], m3), (m3.T, vc[:5]), (vr[:3], m3.T), + # vector-matrix, matrix-vector, both non-contiguous + (m3, vr[::2]), (vc[::2], m3), (m3.T, vc[::2]), (vr[::2], m3.T), + # size == 0 + (m0, m0.T), (m0.T, m0), (m1, m0), (m0.T, m1.T), + )) + def test_dot_equivalent(self, args): + r1 = np.matmul(*args) + r2 = np.dot(*args) + assert_equal(r1, r2) + + r3 = np.matmul(args[0].copy(), args[1].copy()) + assert_equal(r1, r3) + + def test_matmul_object(self): + import fractions + + f = np.vectorize(fractions.Fraction) + def random_ints(): + return np.random.randint(1, 1000, size=(10, 3, 3)) + M1 = f(random_ints(), random_ints()) + M2 = f(random_ints(), random_ints()) + + M3 = self.matmul(M1, M2) + + [N1, N2, N3] = [a.astype(float) for a in [M1, M2, M3]] + + assert_allclose(N3, self.matmul(N1, N2)) + + def test_matmul_object_type_scalar(self): + from fractions import Fraction as F + v = np.array([F(2,3), F(5,7)]) + res = self.matmul(v, v) + assert_(type(res) is F) + + def test_matmul_empty(self): + a = np.empty((3, 0), dtype=object) + b = np.empty((0, 3), dtype=object) + c = np.zeros((3, 3)) + assert_array_equal(np.matmul(a, b), c) + + def test_matmul_exception_multiply(self): + # test that matmul fails if `__mul__` is missing + class add_not_multiply: + def __add__(self, other): + return self + a = np.full((3,3), add_not_multiply()) + with assert_raises(TypeError): + b = np.matmul(a, a) + + def test_matmul_exception_add(self): + # test that matmul fails if `__add__` is missing + class multiply_not_add: + def __mul__(self, other): + return self + a = np.full((3,3), multiply_not_add()) + with assert_raises(TypeError): + b = np.matmul(a, a) + + def test_matmul_bool(self): + # gh-14439 + a = np.array([[1, 0],[1, 1]], dtype=bool) + assert np.max(a.view(np.uint8)) == 1 + b = np.matmul(a, a) + # matmul with boolean output should always be 0, 1 + assert np.max(b.view(np.uint8)) == 1 + + rg = np.random.default_rng(np.random.PCG64(43)) + d = rg.integers(2, size=4*5, dtype=np.int8) + d = d.reshape(4, 5) > 0 + out1 = np.matmul(d, d.reshape(5, 4)) + out2 = np.dot(d, d.reshape(5, 4)) + assert_equal(out1, out2) + + c = np.matmul(np.zeros((2, 0), dtype=bool), np.zeros(0, dtype=bool)) + assert not np.any(c) + + +class TestMatmulOperator(MatmulCommon): + import operator + matmul = operator.matmul + + def test_array_priority_override(self): + + class A: + __array_priority__ = 1000 + + def __matmul__(self, other): + return "A" + + def __rmatmul__(self, other): + return "A" + + a = A() + b = np.ones(2) + assert_equal(self.matmul(a, b), "A") + assert_equal(self.matmul(b, a), "A") + + def test_matmul_raises(self): + assert_raises(TypeError, self.matmul, np.int8(5), np.int8(5)) + assert_raises(TypeError, self.matmul, np.void(b'abc'), np.void(b'abc')) + assert_raises(TypeError, self.matmul, np.arange(10), np.void(b'abc')) + + +class TestMatmulInplace: + DTYPES = {} + for i in MatmulCommon.types: + for j in MatmulCommon.types: + if np.can_cast(j, i): + DTYPES[f"{i}-{j}"] = (np.dtype(i), np.dtype(j)) + + @pytest.mark.parametrize("dtype1,dtype2", DTYPES.values(), ids=DTYPES) + def test_basic(self, dtype1: np.dtype, dtype2: np.dtype) -> None: + a = np.arange(10).reshape(5, 2).astype(dtype1) + a_id = id(a) + b = np.ones((2, 2), dtype=dtype2) + + ref = a @ b + a @= b + + assert id(a) == a_id + assert a.dtype == dtype1 + assert a.shape == (5, 2) + if dtype1.kind in "fc": + np.testing.assert_allclose(a, ref) + else: + np.testing.assert_array_equal(a, ref) + + SHAPES = { + "2d_large": ((10**5, 10), (10, 10)), + "3d_large": ((10**4, 10, 10), (1, 10, 10)), + "1d": ((3,), (3,)), + "2d_1d": ((3, 3), (3,)), + "1d_2d": ((3,), (3, 3)), + "2d_broadcast": ((3, 3), (3, 1)), + "2d_broadcast_reverse": ((1, 3), (3, 3)), + "3d_broadcast1": ((3, 3, 3), (1, 3, 1)), + "3d_broadcast2": ((3, 3, 3), (1, 3, 3)), + "3d_broadcast3": ((3, 3, 3), (3, 3, 1)), + "3d_broadcast_reverse1": ((1, 3, 3), (3, 3, 3)), + "3d_broadcast_reverse2": ((3, 1, 3), (3, 3, 3)), + "3d_broadcast_reverse3": ((1, 1, 3), (3, 3, 3)), + } + + @pytest.mark.parametrize("a_shape,b_shape", SHAPES.values(), ids=SHAPES) + def test_shapes(self, a_shape: tuple[int, ...], b_shape: tuple[int, ...]): + a_size = np.prod(a_shape) + a = np.arange(a_size).reshape(a_shape).astype(np.float64) + a_id = id(a) + + b_size = np.prod(b_shape) + b = np.arange(b_size).reshape(b_shape) + + ref = a @ b + if ref.shape != a_shape: + with pytest.raises(ValueError): + a @= b + return + else: + a @= b + + assert id(a) == a_id + assert a.dtype.type == np.float64 + assert a.shape == a_shape + np.testing.assert_allclose(a, ref) + + +def test_matmul_axes(): + a = np.arange(3*4*5).reshape(3, 4, 5) + c = np.matmul(a, a, axes=[(-2, -1), (-1, -2), (1, 2)]) + assert c.shape == (3, 4, 4) + d = np.matmul(a, a, axes=[(-2, -1), (-1, -2), (0, 1)]) + assert d.shape == (4, 4, 3) + e = np.swapaxes(d, 0, 2) + assert_array_equal(e, c) + f = np.matmul(a, np.arange(3), axes=[(1, 0), (0), (0)]) + assert f.shape == (4, 5) + + +class TestInner: + + def test_inner_type_mismatch(self): + c = 1. + A = np.array((1,1), dtype='i,i') + + assert_raises(TypeError, np.inner, c, A) + assert_raises(TypeError, np.inner, A, c) + + def test_inner_scalar_and_vector(self): + for dt in np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + '?': + sca = np.array(3, dtype=dt)[()] + vec = np.array([1, 2], dtype=dt) + desired = np.array([3, 6], dtype=dt) + assert_equal(np.inner(vec, sca), desired) + assert_equal(np.inner(sca, vec), desired) + + def test_vecself(self): + # Ticket 844. + # Inner product of a vector with itself segfaults or give + # meaningless result + a = np.zeros(shape=(1, 80), dtype=np.float64) + p = np.inner(a, a) + assert_almost_equal(p, 0, decimal=14) + + def test_inner_product_with_various_contiguities(self): + # github issue 6532 + for dt in np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + '?': + # check an inner product involving a matrix transpose + A = np.array([[1, 2], [3, 4]], dtype=dt) + B = np.array([[1, 3], [2, 4]], dtype=dt) + C = np.array([1, 1], dtype=dt) + desired = np.array([4, 6], dtype=dt) + assert_equal(np.inner(A.T, C), desired) + assert_equal(np.inner(C, A.T), desired) + assert_equal(np.inner(B, C), desired) + assert_equal(np.inner(C, B), desired) + # check a matrix product + desired = np.array([[7, 10], [15, 22]], dtype=dt) + assert_equal(np.inner(A, B), desired) + # check the syrk vs. gemm paths + desired = np.array([[5, 11], [11, 25]], dtype=dt) + assert_equal(np.inner(A, A), desired) + assert_equal(np.inner(A, A.copy()), desired) + # check an inner product involving an aliased and reversed view + a = np.arange(5).astype(dt) + b = a[::-1] + desired = np.array(10, dtype=dt).item() + assert_equal(np.inner(b, a), desired) + + def test_3d_tensor(self): + for dt in np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + '?': + a = np.arange(24).reshape(2,3,4).astype(dt) + b = np.arange(24, 48).reshape(2,3,4).astype(dt) + desired = np.array( + [[[[ 158, 182, 206], + [ 230, 254, 278]], + + [[ 566, 654, 742], + [ 830, 918, 1006]], + + [[ 974, 1126, 1278], + [1430, 1582, 1734]]], + + [[[1382, 1598, 1814], + [2030, 2246, 2462]], + + [[1790, 2070, 2350], + [2630, 2910, 3190]], + + [[2198, 2542, 2886], + [3230, 3574, 3918]]]] + ).astype(dt) + assert_equal(np.inner(a, b), desired) + assert_equal(np.inner(b, a).transpose(2,3,0,1), desired) + + +class TestChoose: + def setup_method(self): + self.x = 2*np.ones((3,), dtype=int) + self.y = 3*np.ones((3,), dtype=int) + self.x2 = 2*np.ones((2, 3), dtype=int) + self.y2 = 3*np.ones((2, 3), dtype=int) + self.ind = [0, 0, 1] + + def test_basic(self): + A = np.choose(self.ind, (self.x, self.y)) + assert_equal(A, [2, 2, 3]) + + def test_broadcast1(self): + A = np.choose(self.ind, (self.x2, self.y2)) + assert_equal(A, [[2, 2, 3], [2, 2, 3]]) + + def test_broadcast2(self): + A = np.choose(self.ind, (self.x, self.y2)) + assert_equal(A, [[2, 2, 3], [2, 2, 3]]) + + @pytest.mark.parametrize("ops", + [(1000, np.array([1], dtype=np.uint8)), + (-1, np.array([1], dtype=np.uint8)), + (1., np.float32(3)), + (1., np.array([3], dtype=np.float32))],) + def test_output_dtype(self, ops): + expected_dt = np.result_type(*ops) + assert(np.choose([0], ops).dtype == expected_dt) + + def test_dimension_and_args_limit(self): + # Maxdims for the legacy iterator is 32, but the maximum number + # of arguments is actually larger (a itself also counts here) + a = np.ones((1,) * 32, dtype=np.intp) + res = a.choose([0, a] + [2] * 61) + with pytest.raises(ValueError, + match="Need at least 0 and at most 64 array objects"): + a.choose([0, a] + [2] * 62) + + assert_array_equal(res, a) + # Choose is unfortunately limited to 32 dims as of NumPy 2.0 + a = np.ones((1,) * 60, dtype=np.intp) + with pytest.raises(RuntimeError, + match=".*32 dimensions but the array has 60"): + a.choose([a, a]) + + +class TestRepeat: + def setup_method(self): + self.m = np.array([1, 2, 3, 4, 5, 6]) + self.m_rect = self.m.reshape((2, 3)) + + def test_basic(self): + A = np.repeat(self.m, [1, 3, 2, 1, 1, 2]) + assert_equal(A, [1, 2, 2, 2, 3, + 3, 4, 5, 6, 6]) + + def test_broadcast1(self): + A = np.repeat(self.m, 2) + assert_equal(A, [1, 1, 2, 2, 3, 3, + 4, 4, 5, 5, 6, 6]) + + def test_axis_spec(self): + A = np.repeat(self.m_rect, [2, 1], axis=0) + assert_equal(A, [[1, 2, 3], + [1, 2, 3], + [4, 5, 6]]) + + A = np.repeat(self.m_rect, [1, 3, 2], axis=1) + assert_equal(A, [[1, 2, 2, 2, 3, 3], + [4, 5, 5, 5, 6, 6]]) + + def test_broadcast2(self): + A = np.repeat(self.m_rect, 2, axis=0) + assert_equal(A, [[1, 2, 3], + [1, 2, 3], + [4, 5, 6], + [4, 5, 6]]) + + A = np.repeat(self.m_rect, 2, axis=1) + assert_equal(A, [[1, 1, 2, 2, 3, 3], + [4, 4, 5, 5, 6, 6]]) + + +# TODO: test for multidimensional +NEIGH_MODE = {'zero': 0, 'one': 1, 'constant': 2, 'circular': 3, 'mirror': 4} + + +@pytest.mark.parametrize('dt', [float, Decimal], ids=['float', 'object']) +class TestNeighborhoodIter: + # Simple, 2d tests + def test_simple2d(self, dt): + # Test zero and one padding for simple data type + x = np.array([[0, 1], [2, 3]], dtype=dt) + r = [np.array([[0, 0, 0], [0, 0, 1]], dtype=dt), + np.array([[0, 0, 0], [0, 1, 0]], dtype=dt), + np.array([[0, 0, 1], [0, 2, 3]], dtype=dt), + np.array([[0, 1, 0], [2, 3, 0]], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 0, -1, 1], x[0], NEIGH_MODE['zero']) + assert_array_equal(l, r) + + r = [np.array([[1, 1, 1], [1, 0, 1]], dtype=dt), + np.array([[1, 1, 1], [0, 1, 1]], dtype=dt), + np.array([[1, 0, 1], [1, 2, 3]], dtype=dt), + np.array([[0, 1, 1], [2, 3, 1]], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 0, -1, 1], x[0], NEIGH_MODE['one']) + assert_array_equal(l, r) + + r = [np.array([[4, 4, 4], [4, 0, 1]], dtype=dt), + np.array([[4, 4, 4], [0, 1, 4]], dtype=dt), + np.array([[4, 0, 1], [4, 2, 3]], dtype=dt), + np.array([[0, 1, 4], [2, 3, 4]], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 0, -1, 1], 4, NEIGH_MODE['constant']) + assert_array_equal(l, r) + + # Test with start in the middle + r = [np.array([[4, 0, 1], [4, 2, 3]], dtype=dt), + np.array([[0, 1, 4], [2, 3, 4]], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 0, -1, 1], 4, NEIGH_MODE['constant'], 2) + assert_array_equal(l, r) + + def test_mirror2d(self, dt): + x = np.array([[0, 1], [2, 3]], dtype=dt) + r = [np.array([[0, 0, 1], [0, 0, 1]], dtype=dt), + np.array([[0, 1, 1], [0, 1, 1]], dtype=dt), + np.array([[0, 0, 1], [2, 2, 3]], dtype=dt), + np.array([[0, 1, 1], [2, 3, 3]], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 0, -1, 1], x[0], NEIGH_MODE['mirror']) + assert_array_equal(l, r) + + # Simple, 1d tests + def test_simple(self, dt): + # Test padding with constant values + x = np.linspace(1, 5, 5).astype(dt) + r = [[0, 1, 2], [1, 2, 3], [2, 3, 4], [3, 4, 5], [4, 5, 0]] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 1], x[0], NEIGH_MODE['zero']) + assert_array_equal(l, r) + + r = [[1, 1, 2], [1, 2, 3], [2, 3, 4], [3, 4, 5], [4, 5, 1]] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 1], x[0], NEIGH_MODE['one']) + assert_array_equal(l, r) + + r = [[x[4], 1, 2], [1, 2, 3], [2, 3, 4], [3, 4, 5], [4, 5, x[4]]] + l = _multiarray_tests.test_neighborhood_iterator( + x, [-1, 1], x[4], NEIGH_MODE['constant']) + assert_array_equal(l, r) + + # Test mirror modes + def test_mirror(self, dt): + x = np.linspace(1, 5, 5).astype(dt) + r = np.array([[2, 1, 1, 2, 3], [1, 1, 2, 3, 4], [1, 2, 3, 4, 5], + [2, 3, 4, 5, 5], [3, 4, 5, 5, 4]], dtype=dt) + l = _multiarray_tests.test_neighborhood_iterator( + x, [-2, 2], x[1], NEIGH_MODE['mirror']) + assert_([i.dtype == dt for i in l]) + assert_array_equal(l, r) + + # Circular mode + def test_circular(self, dt): + x = np.linspace(1, 5, 5).astype(dt) + r = np.array([[4, 5, 1, 2, 3], [5, 1, 2, 3, 4], [1, 2, 3, 4, 5], + [2, 3, 4, 5, 1], [3, 4, 5, 1, 2]], dtype=dt) + l = _multiarray_tests.test_neighborhood_iterator( + x, [-2, 2], x[0], NEIGH_MODE['circular']) + assert_array_equal(l, r) + + +# Test stacking neighborhood iterators +class TestStackedNeighborhoodIter: + # Simple, 1d test: stacking 2 constant-padded neigh iterators + def test_simple_const(self): + dt = np.float64 + # Test zero and one padding for simple data type + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([0], dtype=dt), + np.array([0], dtype=dt), + np.array([1], dtype=dt), + np.array([2], dtype=dt), + np.array([3], dtype=dt), + np.array([0], dtype=dt), + np.array([0], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-2, 4], NEIGH_MODE['zero'], [0, 0], NEIGH_MODE['zero']) + assert_array_equal(l, r) + + r = [np.array([1, 0, 1], dtype=dt), + np.array([0, 1, 2], dtype=dt), + np.array([1, 2, 3], dtype=dt), + np.array([2, 3, 0], dtype=dt), + np.array([3, 0, 1], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['zero'], [-1, 1], NEIGH_MODE['one']) + assert_array_equal(l, r) + + # 2nd simple, 1d test: stacking 2 neigh iterators, mixing const padding and + # mirror padding + def test_simple_mirror(self): + dt = np.float64 + # Stacking zero on top of mirror + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([0, 1, 1], dtype=dt), + np.array([1, 1, 2], dtype=dt), + np.array([1, 2, 3], dtype=dt), + np.array([2, 3, 3], dtype=dt), + np.array([3, 3, 0], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['mirror'], [-1, 1], NEIGH_MODE['zero']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([1, 0, 0], dtype=dt), + np.array([0, 0, 1], dtype=dt), + np.array([0, 1, 2], dtype=dt), + np.array([1, 2, 3], dtype=dt), + np.array([2, 3, 0], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['zero'], [-2, 0], NEIGH_MODE['mirror']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero: 2nd + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([0, 1, 2], dtype=dt), + np.array([1, 2, 3], dtype=dt), + np.array([2, 3, 0], dtype=dt), + np.array([3, 0, 0], dtype=dt), + np.array([0, 0, 3], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['zero'], [0, 2], NEIGH_MODE['mirror']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero: 3rd + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([1, 0, 0, 1, 2], dtype=dt), + np.array([0, 0, 1, 2, 3], dtype=dt), + np.array([0, 1, 2, 3, 0], dtype=dt), + np.array([1, 2, 3, 0, 0], dtype=dt), + np.array([2, 3, 0, 0, 3], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['zero'], [-2, 2], NEIGH_MODE['mirror']) + assert_array_equal(l, r) + + # 3rd simple, 1d test: stacking 2 neigh iterators, mixing const padding and + # circular padding + def test_simple_circular(self): + dt = np.float64 + # Stacking zero on top of mirror + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([0, 3, 1], dtype=dt), + np.array([3, 1, 2], dtype=dt), + np.array([1, 2, 3], dtype=dt), + np.array([2, 3, 1], dtype=dt), + np.array([3, 1, 0], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['circular'], [-1, 1], NEIGH_MODE['zero']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([3, 0, 0], dtype=dt), + np.array([0, 0, 1], dtype=dt), + np.array([0, 1, 2], dtype=dt), + np.array([1, 2, 3], dtype=dt), + np.array([2, 3, 0], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['zero'], [-2, 0], NEIGH_MODE['circular']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero: 2nd + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([0, 1, 2], dtype=dt), + np.array([1, 2, 3], dtype=dt), + np.array([2, 3, 0], dtype=dt), + np.array([3, 0, 0], dtype=dt), + np.array([0, 0, 1], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['zero'], [0, 2], NEIGH_MODE['circular']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero: 3rd + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([3, 0, 0, 1, 2], dtype=dt), + np.array([0, 0, 1, 2, 3], dtype=dt), + np.array([0, 1, 2, 3, 0], dtype=dt), + np.array([1, 2, 3, 0, 0], dtype=dt), + np.array([2, 3, 0, 0, 1], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [-1, 3], NEIGH_MODE['zero'], [-2, 2], NEIGH_MODE['circular']) + assert_array_equal(l, r) + + # 4th simple, 1d test: stacking 2 neigh iterators, but with lower iterator + # being strictly within the array + def test_simple_strict_within(self): + dt = np.float64 + # Stacking zero on top of zero, first neighborhood strictly inside the + # array + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([1, 2, 3, 0], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [1, 1], NEIGH_MODE['zero'], [-1, 2], NEIGH_MODE['zero']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero, first neighborhood strictly inside the + # array + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([1, 2, 3, 3], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [1, 1], NEIGH_MODE['zero'], [-1, 2], NEIGH_MODE['mirror']) + assert_array_equal(l, r) + + # Stacking mirror on top of zero, first neighborhood strictly inside the + # array + x = np.array([1, 2, 3], dtype=dt) + r = [np.array([1, 2, 3, 1], dtype=dt)] + l = _multiarray_tests.test_neighborhood_iterator_oob( + x, [1, 1], NEIGH_MODE['zero'], [-1, 2], NEIGH_MODE['circular']) + assert_array_equal(l, r) + +class TestWarnings: + + def test_complex_warning(self): + x = np.array([1, 2]) + y = np.array([1-2j, 1+2j]) + + with warnings.catch_warnings(): + warnings.simplefilter("error", ComplexWarning) + assert_raises(ComplexWarning, x.__setitem__, slice(None), y) + assert_equal(x, [1, 2]) + + +class TestMinScalarType: + + def test_usigned_shortshort(self): + dt = np.min_scalar_type(2**8-1) + wanted = np.dtype('uint8') + assert_equal(wanted, dt) + + def test_usigned_short(self): + dt = np.min_scalar_type(2**16-1) + wanted = np.dtype('uint16') + assert_equal(wanted, dt) + + def test_usigned_int(self): + dt = np.min_scalar_type(2**32-1) + wanted = np.dtype('uint32') + assert_equal(wanted, dt) + + def test_usigned_longlong(self): + dt = np.min_scalar_type(2**63-1) + wanted = np.dtype('uint64') + assert_equal(wanted, dt) + + def test_object(self): + dt = np.min_scalar_type(2**64) + wanted = np.dtype('O') + assert_equal(wanted, dt) + + +from numpy._core._internal import _dtype_from_pep3118 + + +class TestPEP3118Dtype: + def _check(self, spec, wanted): + dt = np.dtype(wanted) + actual = _dtype_from_pep3118(spec) + assert_equal(actual, dt, + err_msg="spec %r != dtype %r" % (spec, wanted)) + + def test_native_padding(self): + align = np.dtype('i').alignment + for j in range(8): + if j == 0: + s = 'bi' + else: + s = 'b%dxi' % j + self._check('@'+s, {'f0': ('i1', 0), + 'f1': ('i', align*(1 + j//align))}) + self._check('='+s, {'f0': ('i1', 0), + 'f1': ('i', 1+j)}) + + def test_native_padding_2(self): + # Native padding should work also for structs and sub-arrays + self._check('x3T{xi}', {'f0': (({'f0': ('i', 4)}, (3,)), 4)}) + self._check('^x3T{xi}', {'f0': (({'f0': ('i', 1)}, (3,)), 1)}) + + def test_trailing_padding(self): + # Trailing padding should be included, *and*, the item size + # should match the alignment if in aligned mode + align = np.dtype('i').alignment + size = np.dtype('i').itemsize + + def aligned(n): + return align*(1 + (n-1)//align) + + base = dict(formats=['i'], names=['f0']) + + self._check('ix', dict(itemsize=aligned(size + 1), **base)) + self._check('ixx', dict(itemsize=aligned(size + 2), **base)) + self._check('ixxx', dict(itemsize=aligned(size + 3), **base)) + self._check('ixxxx', dict(itemsize=aligned(size + 4), **base)) + self._check('i7x', dict(itemsize=aligned(size + 7), **base)) + + self._check('^ix', dict(itemsize=size + 1, **base)) + self._check('^ixx', dict(itemsize=size + 2, **base)) + self._check('^ixxx', dict(itemsize=size + 3, **base)) + self._check('^ixxxx', dict(itemsize=size + 4, **base)) + self._check('^i7x', dict(itemsize=size + 7, **base)) + + def test_native_padding_3(self): + dt = np.dtype( + [('a', 'b'), ('b', 'i'), + ('sub', np.dtype('b,i')), ('c', 'i')], + align=True) + self._check("T{b:a:xxxi:b:T{b:f0:=i:f1:}:sub:xxxi:c:}", dt) + + dt = np.dtype( + [('a', 'b'), ('b', 'i'), ('c', 'b'), ('d', 'b'), + ('e', 'b'), ('sub', np.dtype('b,i', align=True))]) + self._check("T{b:a:=i:b:b:c:b:d:b:e:T{b:f0:xxxi:f1:}:sub:}", dt) + + def test_padding_with_array_inside_struct(self): + dt = np.dtype( + [('a', 'b'), ('b', 'i'), ('c', 'b', (3,)), + ('d', 'i')], + align=True) + self._check("T{b:a:xxxi:b:3b:c:xi:d:}", dt) + + def test_byteorder_inside_struct(self): + # The byte order after @T{=i} should be '=', not '@'. + # Check this by noting the absence of native alignment. + self._check('@T{^i}xi', {'f0': ({'f0': ('i', 0)}, 0), + 'f1': ('i', 5)}) + + def test_intra_padding(self): + # Natively aligned sub-arrays may require some internal padding + align = np.dtype('i').alignment + size = np.dtype('i').itemsize + + def aligned(n): + return (align*(1 + (n-1)//align)) + + self._check('(3)T{ix}', (dict( + names=['f0'], + formats=['i'], + offsets=[0], + itemsize=aligned(size + 1) + ), (3,))) + + def test_char_vs_string(self): + dt = np.dtype('c') + self._check('c', dt) + + dt = np.dtype([('f0', 'S1', (4,)), ('f1', 'S4')]) + self._check('4c4s', dt) + + def test_field_order(self): + # gh-9053 - previously, we relied on dictionary key order + self._check("(0)I:a:f:b:", [('a', 'I', (0,)), ('b', 'f')]) + self._check("(0)I:b:f:a:", [('b', 'I', (0,)), ('a', 'f')]) + + def test_unnamed_fields(self): + self._check('ii', [('f0', 'i'), ('f1', 'i')]) + self._check('ii:f0:', [('f1', 'i'), ('f0', 'i')]) + + self._check('i', 'i') + self._check('i:f0:', [('f0', 'i')]) + + +class TestNewBufferProtocol: + """ Test PEP3118 buffers """ + + def _check_roundtrip(self, obj): + obj = np.asarray(obj) + x = memoryview(obj) + y = np.asarray(x) + y2 = np.array(x) + assert_(not y.flags.owndata) + assert_(y2.flags.owndata) + + assert_equal(y.dtype, obj.dtype) + assert_equal(y.shape, obj.shape) + assert_array_equal(obj, y) + + assert_equal(y2.dtype, obj.dtype) + assert_equal(y2.shape, obj.shape) + assert_array_equal(obj, y2) + + def test_roundtrip(self): + x = np.array([1, 2, 3, 4, 5], dtype='i4') + self._check_roundtrip(x) + + x = np.array([[1, 2], [3, 4]], dtype=np.float64) + self._check_roundtrip(x) + + x = np.zeros((3, 3, 3), dtype=np.float32)[:, 0,:] + self._check_roundtrip(x) + + dt = [('a', 'b'), + ('b', 'h'), + ('c', 'i'), + ('d', 'l'), + ('dx', 'q'), + ('e', 'B'), + ('f', 'H'), + ('g', 'I'), + ('h', 'L'), + ('hx', 'Q'), + ('i', np.single), + ('j', np.double), + ('k', np.longdouble), + ('ix', np.csingle), + ('jx', np.cdouble), + ('kx', np.clongdouble), + ('l', 'S4'), + ('m', 'U4'), + ('n', 'V3'), + ('o', '?'), + ('p', np.half), + ] + x = np.array( + [(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + b'aaaa', 'bbbb', b'xxx', True, 1.0)], + dtype=dt) + self._check_roundtrip(x) + + x = np.array(([[1, 2], [3, 4]],), dtype=[('a', (int, (2, 2)))]) + self._check_roundtrip(x) + + x = np.array([1, 2, 3], dtype='>i2') + self._check_roundtrip(x) + + x = np.array([1, 2, 3], dtype='') + x = np.zeros(4, dtype=dt) + self._check_roundtrip(x) + + def test_roundtrip_scalar(self): + # Issue #4015. + self._check_roundtrip(0) + + def test_invalid_buffer_format(self): + # datetime64 cannot be used fully in a buffer yet + # Should be fixed in the next Numpy major release + dt = np.dtype([('a', 'uint16'), ('b', 'M8[s]')]) + a = np.empty(3, dt) + assert_raises((ValueError, BufferError), memoryview, a) + assert_raises((ValueError, BufferError), memoryview, np.array((3), 'M8[D]')) + + def test_export_simple_1d(self): + x = np.array([1, 2, 3, 4, 5], dtype='i') + y = memoryview(x) + assert_equal(y.format, 'i') + assert_equal(y.shape, (5,)) + assert_equal(y.ndim, 1) + assert_equal(y.strides, (4,)) + assert_equal(y.suboffsets, ()) + assert_equal(y.itemsize, 4) + + def test_export_simple_nd(self): + x = np.array([[1, 2], [3, 4]], dtype=np.float64) + y = memoryview(x) + assert_equal(y.format, 'd') + assert_equal(y.shape, (2, 2)) + assert_equal(y.ndim, 2) + assert_equal(y.strides, (16, 8)) + assert_equal(y.suboffsets, ()) + assert_equal(y.itemsize, 8) + + def test_export_discontiguous(self): + x = np.zeros((3, 3, 3), dtype=np.float32)[:, 0,:] + y = memoryview(x) + assert_equal(y.format, 'f') + assert_equal(y.shape, (3, 3)) + assert_equal(y.ndim, 2) + assert_equal(y.strides, (36, 4)) + assert_equal(y.suboffsets, ()) + assert_equal(y.itemsize, 4) + + def test_export_record(self): + dt = [('a', 'b'), + ('b', 'h'), + ('c', 'i'), + ('d', 'l'), + ('dx', 'q'), + ('e', 'B'), + ('f', 'H'), + ('g', 'I'), + ('h', 'L'), + ('hx', 'Q'), + ('i', np.single), + ('j', np.double), + ('k', np.longdouble), + ('ix', np.csingle), + ('jx', np.cdouble), + ('kx', np.clongdouble), + ('l', 'S4'), + ('m', 'U4'), + ('n', 'V3'), + ('o', '?'), + ('p', np.half), + ] + x = np.array( + [(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + b'aaaa', 'bbbb', b' ', True, 1.0)], + dtype=dt) + y = memoryview(x) + assert_equal(y.shape, (1,)) + assert_equal(y.ndim, 1) + assert_equal(y.suboffsets, ()) + + sz = sum([np.dtype(b).itemsize for a, b in dt]) + if np.dtype('l').itemsize == 4: + assert_equal(y.format, 'T{b:a:=h:b:i:c:l:d:q:dx:B:e:@H:f:=I:g:L:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}') + else: + assert_equal(y.format, 'T{b:a:=h:b:i:c:q:d:q:dx:B:e:@H:f:=I:g:Q:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}') + assert_equal(y.strides, (sz,)) + assert_equal(y.itemsize, sz) + + def test_export_subarray(self): + x = np.array(([[1, 2], [3, 4]],), dtype=[('a', ('i', (2, 2)))]) + y = memoryview(x) + assert_equal(y.format, 'T{(2,2)i:a:}') + assert_equal(y.shape, ()) + assert_equal(y.ndim, 0) + assert_equal(y.strides, ()) + assert_equal(y.suboffsets, ()) + assert_equal(y.itemsize, 16) + + def test_export_endian(self): + x = np.array([1, 2, 3], dtype='>i') + y = memoryview(x) + if sys.byteorder == 'little': + assert_equal(y.format, '>i') + else: + assert_equal(y.format, 'i') + + x = np.array([1, 2, 3], dtype=' np.array(0, dtype=dt1), "type %s failed" % (dt1,)) + assert_(not 1 < np.array(0, dtype=dt1), "type %s failed" % (dt1,)) + + for dt2 in np.typecodes['AllInteger']: + assert_(np.array(1, dtype=dt1) > np.array(0, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + assert_(not np.array(1, dtype=dt1) < np.array(0, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + + # Unsigned integers + for dt1 in 'BHILQP': + assert_(-1 < np.array(1, dtype=dt1), "type %s failed" % (dt1,)) + assert_(not -1 > np.array(1, dtype=dt1), "type %s failed" % (dt1,)) + assert_(-1 != np.array(1, dtype=dt1), "type %s failed" % (dt1,)) + + # Unsigned vs signed + for dt2 in 'bhilqp': + assert_(np.array(1, dtype=dt1) > np.array(-1, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + assert_(not np.array(1, dtype=dt1) < np.array(-1, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + assert_(np.array(1, dtype=dt1) != np.array(-1, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + + # Signed integers and floats + for dt1 in 'bhlqp' + np.typecodes['Float']: + assert_(1 > np.array(-1, dtype=dt1), "type %s failed" % (dt1,)) + assert_(not 1 < np.array(-1, dtype=dt1), "type %s failed" % (dt1,)) + assert_(-1 == np.array(-1, dtype=dt1), "type %s failed" % (dt1,)) + + for dt2 in 'bhlqp' + np.typecodes['Float']: + assert_(np.array(1, dtype=dt1) > np.array(-1, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + assert_(not np.array(1, dtype=dt1) < np.array(-1, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + assert_(np.array(-1, dtype=dt1) == np.array(-1, dtype=dt2), + "type %s and %s failed" % (dt1, dt2)) + + def test_to_bool_scalar(self): + assert_equal(bool(np.array([False])), False) + assert_equal(bool(np.array([True])), True) + assert_equal(bool(np.array([[42]])), True) + + def test_to_bool_scalar_not_convertible(self): + + class NotConvertible: + def __bool__(self): + raise NotImplementedError + + assert_raises(NotImplementedError, bool, np.array(NotConvertible())) + assert_raises(NotImplementedError, bool, np.array([NotConvertible()])) + if IS_PYSTON: + pytest.skip("Pyston disables recursion checking") + + self_containing = np.array([None]) + self_containing[0] = self_containing + + Error = RecursionError + + assert_raises(Error, bool, self_containing) # previously stack overflow + self_containing[0] = None # resolve circular reference + + def test_to_bool_scalar_size_errors(self): + with pytest.raises(ValueError, match=".*one element is ambiguous"): + bool(np.array([1, 2])) + + with pytest.raises(ValueError, match=".*empty array is ambiguous"): + bool(np.empty((3, 0))) + + with pytest.raises(ValueError, match=".*empty array is ambiguous"): + bool(np.empty((0,))) + + def test_to_int_scalar(self): + # gh-9972 means that these aren't always the same + int_funcs = (int, lambda x: x.__int__()) + for int_func in int_funcs: + assert_equal(int_func(np.array(0)), 0) + with assert_warns(DeprecationWarning): + assert_equal(int_func(np.array([1])), 1) + with assert_warns(DeprecationWarning): + assert_equal(int_func(np.array([[42]])), 42) + assert_raises(TypeError, int_func, np.array([1, 2])) + + # gh-9972 + assert_equal(4, int_func(np.array('4'))) + assert_equal(5, int_func(np.bytes_(b'5'))) + assert_equal(6, int_func(np.str_('6'))) + + # The delegation of int() to __trunc__ was deprecated in + # Python 3.11. + if sys.version_info < (3, 11): + class HasTrunc: + def __trunc__(self): + return 3 + assert_equal(3, int_func(np.array(HasTrunc()))) + with assert_warns(DeprecationWarning): + assert_equal(3, int_func(np.array([HasTrunc()]))) + else: + pass + + class NotConvertible: + def __int__(self): + raise NotImplementedError + assert_raises(NotImplementedError, + int_func, np.array(NotConvertible())) + with assert_warns(DeprecationWarning): + assert_raises(NotImplementedError, + int_func, np.array([NotConvertible()])) + + +class TestWhere: + def test_basic(self): + dts = [bool, np.int16, np.int32, np.int64, np.double, np.complex128, + np.longdouble, np.clongdouble] + for dt in dts: + c = np.ones(53, dtype=bool) + assert_equal(np.where( c, dt(0), dt(1)), dt(0)) + assert_equal(np.where(~c, dt(0), dt(1)), dt(1)) + assert_equal(np.where(True, dt(0), dt(1)), dt(0)) + assert_equal(np.where(False, dt(0), dt(1)), dt(1)) + d = np.ones_like(c).astype(dt) + e = np.zeros_like(d) + r = d.astype(dt) + c[7] = False + r[7] = e[7] + assert_equal(np.where(c, e, e), e) + assert_equal(np.where(c, d, e), r) + assert_equal(np.where(c, d, e[0]), r) + assert_equal(np.where(c, d[0], e), r) + assert_equal(np.where(c[::2], d[::2], e[::2]), r[::2]) + assert_equal(np.where(c[1::2], d[1::2], e[1::2]), r[1::2]) + assert_equal(np.where(c[::3], d[::3], e[::3]), r[::3]) + assert_equal(np.where(c[1::3], d[1::3], e[1::3]), r[1::3]) + assert_equal(np.where(c[::-2], d[::-2], e[::-2]), r[::-2]) + assert_equal(np.where(c[::-3], d[::-3], e[::-3]), r[::-3]) + assert_equal(np.where(c[1::-3], d[1::-3], e[1::-3]), r[1::-3]) + + @pytest.mark.skipif(IS_WASM, reason="no wasm fp exception support") + def test_exotic(self): + # object + assert_array_equal(np.where(True, None, None), np.array(None)) + # zero sized + m = np.array([], dtype=bool).reshape(0, 3) + b = np.array([], dtype=np.float64).reshape(0, 3) + assert_array_equal(np.where(m, 0, b), np.array([]).reshape(0, 3)) + + # object cast + d = np.array([-1.34, -0.16, -0.54, -0.31, -0.08, -0.95, 0.000, 0.313, + 0.547, -0.18, 0.876, 0.236, 1.969, 0.310, 0.699, 1.013, + 1.267, 0.229, -1.39, 0.487]) + nan = float('NaN') + e = np.array(['5z', '0l', nan, 'Wz', nan, nan, 'Xq', 'cs', nan, nan, + 'QN', nan, nan, 'Fd', nan, nan, 'kp', nan, '36', 'i1'], + dtype=object) + m = np.array([0, 0, 1, 0, 1, 1, 0, 0, 1, 1, + 0, 1, 1, 0, 1, 1, 0, 1, 0, 0], dtype=bool) + + r = e[:] + r[np.where(m)] = d[np.where(m)] + assert_array_equal(np.where(m, d, e), r) + + r = e[:] + r[np.where(~m)] = d[np.where(~m)] + assert_array_equal(np.where(m, e, d), r) + + assert_array_equal(np.where(m, e, e), e) + + # minimal dtype result with NaN scalar (e.g required by pandas) + d = np.array([1., 2.], dtype=np.float32) + e = float('NaN') + assert_equal(np.where(True, d, e).dtype, np.float32) + e = float('Infinity') + assert_equal(np.where(True, d, e).dtype, np.float32) + e = float('-Infinity') + assert_equal(np.where(True, d, e).dtype, np.float32) + # With NEP 50 adopted, the float will overflow here: + e = float(1e150) + with pytest.warns(RuntimeWarning, match="overflow"): + res = np.where(True, d, e) + assert res.dtype == np.float32 + + def test_ndim(self): + c = [True, False] + a = np.zeros((2, 25)) + b = np.ones((2, 25)) + r = np.where(np.array(c)[:,np.newaxis], a, b) + assert_array_equal(r[0], a[0]) + assert_array_equal(r[1], b[0]) + + a = a.T + b = b.T + r = np.where(c, a, b) + assert_array_equal(r[:,0], a[:,0]) + assert_array_equal(r[:,1], b[:,0]) + + def test_dtype_mix(self): + c = np.array([False, True, False, False, False, False, True, False, + False, False, True, False]) + a = np.uint32(1) + b = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.], + dtype=np.float64) + r = np.array([5., 1., 3., 2., -1., -4., 1., -10., 10., 1., 1., 3.], + dtype=np.float64) + assert_equal(np.where(c, a, b), r) + + a = a.astype(np.float32) + b = b.astype(np.int64) + assert_equal(np.where(c, a, b), r) + + # non bool mask + c = c.astype(int) + c[c != 0] = 34242324 + assert_equal(np.where(c, a, b), r) + # invert + tmpmask = c != 0 + c[c == 0] = 41247212 + c[tmpmask] = 0 + assert_equal(np.where(c, b, a), r) + + def test_foreign(self): + c = np.array([False, True, False, False, False, False, True, False, + False, False, True, False]) + r = np.array([5., 1., 3., 2., -1., -4., 1., -10., 10., 1., 1., 3.], + dtype=np.float64) + a = np.ones(1, dtype='>i4') + b = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.], + dtype=np.float64) + assert_equal(np.where(c, a, b), r) + + b = b.astype('>f8') + assert_equal(np.where(c, a, b), r) + + a = a.astype('i4') + assert_equal(np.where(c, a, b), r) + + def test_error(self): + c = [True, True] + a = np.ones((4, 5)) + b = np.ones((5, 5)) + assert_raises(ValueError, np.where, c, a, a) + assert_raises(ValueError, np.where, c[0], a, b) + + def test_string(self): + # gh-4778 check strings are properly filled with nulls + a = np.array("abc") + b = np.array("x" * 753) + assert_equal(np.where(True, a, b), "abc") + assert_equal(np.where(False, b, a), "abc") + + # check native datatype sized strings + a = np.array("abcd") + b = np.array("x" * 8) + assert_equal(np.where(True, a, b), "abcd") + assert_equal(np.where(False, b, a), "abcd") + + def test_empty_result(self): + # pass empty where result through an assignment which reads the data of + # empty arrays, error detectable with valgrind, see gh-8922 + x = np.zeros((1, 1)) + ibad = np.vstack(np.where(x == 99.)) + assert_array_equal(ibad, + np.atleast_2d(np.array([[],[]], dtype=np.intp))) + + def test_largedim(self): + # invalid read regression gh-9304 + shape = [10, 2, 3, 4, 5, 6] + np.random.seed(2) + array = np.random.rand(*shape) + + for i in range(10): + benchmark = array.nonzero() + result = array.nonzero() + assert_array_equal(benchmark, result) + + def test_kwargs(self): + a = np.zeros(1) + with assert_raises(TypeError): + np.where(a, x=a, y=a) + + +if not IS_PYPY: + # sys.getsizeof() is not valid on PyPy + class TestSizeOf: + + def test_empty_array(self): + x = np.array([]) + assert_(sys.getsizeof(x) > 0) + + def check_array(self, dtype): + elem_size = dtype(0).itemsize + + for length in [10, 50, 100, 500]: + x = np.arange(length, dtype=dtype) + assert_(sys.getsizeof(x) > length * elem_size) + + def test_array_int32(self): + self.check_array(np.int32) + + def test_array_int64(self): + self.check_array(np.int64) + + def test_array_float32(self): + self.check_array(np.float32) + + def test_array_float64(self): + self.check_array(np.float64) + + def test_view(self): + d = np.ones(100) + assert_(sys.getsizeof(d[...]) < sys.getsizeof(d)) + + def test_reshape(self): + d = np.ones(100) + assert_(sys.getsizeof(d) < sys.getsizeof(d.reshape(100, 1, 1).copy())) + + @_no_tracing + def test_resize(self): + d = np.ones(100) + old = sys.getsizeof(d) + d.resize(50) + assert_(old > sys.getsizeof(d)) + d.resize(150) + assert_(old < sys.getsizeof(d)) + + @pytest.mark.parametrize("dtype", ["u4,f4", "u4,O"]) + def test_resize_structured(self, dtype): + a = np.array([(0, 0.0) for i in range(5)], dtype=dtype) + a.resize(1000) + assert_array_equal(a, np.zeros(1000, dtype=dtype)) + + def test_error(self): + d = np.ones(100) + assert_raises(TypeError, d.__sizeof__, "a") + + +class TestHashing: + + def test_arrays_not_hashable(self): + x = np.ones(3) + assert_raises(TypeError, hash, x) + + def test_collections_hashable(self): + x = np.array([]) + assert_(not isinstance(x, collections.abc.Hashable)) + + +class TestArrayPriority: + # This will go away when __array_priority__ is settled, meanwhile + # it serves to check unintended changes. + op = operator + binary_ops = [ + op.pow, op.add, op.sub, op.mul, op.floordiv, op.truediv, op.mod, + op.and_, op.or_, op.xor, op.lshift, op.rshift, op.mod, op.gt, + op.ge, op.lt, op.le, op.ne, op.eq + ] + + class Foo(np.ndarray): + __array_priority__ = 100. + + def __new__(cls, *args, **kwargs): + return np.array(*args, **kwargs).view(cls) + + class Bar(np.ndarray): + __array_priority__ = 101. + + def __new__(cls, *args, **kwargs): + return np.array(*args, **kwargs).view(cls) + + class Other: + __array_priority__ = 1000. + + def _all(self, other): + return self.__class__() + + __add__ = __radd__ = _all + __sub__ = __rsub__ = _all + __mul__ = __rmul__ = _all + __pow__ = __rpow__ = _all + __div__ = __rdiv__ = _all + __mod__ = __rmod__ = _all + __truediv__ = __rtruediv__ = _all + __floordiv__ = __rfloordiv__ = _all + __and__ = __rand__ = _all + __xor__ = __rxor__ = _all + __or__ = __ror__ = _all + __lshift__ = __rlshift__ = _all + __rshift__ = __rrshift__ = _all + __eq__ = _all + __ne__ = _all + __gt__ = _all + __ge__ = _all + __lt__ = _all + __le__ = _all + + def test_ndarray_subclass(self): + a = np.array([1, 2]) + b = self.Bar([1, 2]) + for f in self.binary_ops: + msg = repr(f) + assert_(isinstance(f(a, b), self.Bar), msg) + assert_(isinstance(f(b, a), self.Bar), msg) + + def test_ndarray_other(self): + a = np.array([1, 2]) + b = self.Other() + for f in self.binary_ops: + msg = repr(f) + assert_(isinstance(f(a, b), self.Other), msg) + assert_(isinstance(f(b, a), self.Other), msg) + + def test_subclass_subclass(self): + a = self.Foo([1, 2]) + b = self.Bar([1, 2]) + for f in self.binary_ops: + msg = repr(f) + assert_(isinstance(f(a, b), self.Bar), msg) + assert_(isinstance(f(b, a), self.Bar), msg) + + def test_subclass_other(self): + a = self.Foo([1, 2]) + b = self.Other() + for f in self.binary_ops: + msg = repr(f) + assert_(isinstance(f(a, b), self.Other), msg) + assert_(isinstance(f(b, a), self.Other), msg) + + +class TestBytestringArrayNonzero: + + def test_empty_bstring_array_is_falsey(self): + assert_(not np.array([''], dtype=str)) + + def test_whitespace_bstring_array_is_truthy(self): + a = np.array(['spam'], dtype=str) + a[0] = ' \0\0' + assert_(a) + + def test_all_null_bstring_array_is_falsey(self): + a = np.array(['spam'], dtype=str) + a[0] = '\0\0\0\0' + assert_(not a) + + def test_null_inside_bstring_array_is_truthy(self): + a = np.array(['spam'], dtype=str) + a[0] = ' \0 \0' + assert_(a) + + +class TestUnicodeEncoding: + """ + Tests for encoding related bugs, such as UCS2 vs UCS4, round-tripping + issues, etc + """ + def test_round_trip(self): + """ Tests that GETITEM, SETITEM, and PyArray_Scalar roundtrip """ + # gh-15363 + arr = np.zeros(shape=(), dtype="U1") + for i in range(1, sys.maxunicode + 1): + expected = chr(i) + arr[()] = expected + assert arr[()] == expected + assert arr.item() == expected + + def test_assign_scalar(self): + # gh-3258 + l = np.array(['aa', 'bb']) + l[:] = np.str_('cc') + assert_equal(l, ['cc', 'cc']) + + def test_fill_scalar(self): + # gh-7227 + l = np.array(['aa', 'bb']) + l.fill(np.str_('cc')) + assert_equal(l, ['cc', 'cc']) + + +class TestUnicodeArrayNonzero: + + def test_empty_ustring_array_is_falsey(self): + assert_(not np.array([''], dtype=np.str_)) + + def test_whitespace_ustring_array_is_truthy(self): + a = np.array(['eggs'], dtype=np.str_) + a[0] = ' \0\0' + assert_(a) + + def test_all_null_ustring_array_is_falsey(self): + a = np.array(['eggs'], dtype=np.str_) + a[0] = '\0\0\0\0' + assert_(not a) + + def test_null_inside_ustring_array_is_truthy(self): + a = np.array(['eggs'], dtype=np.str_) + a[0] = ' \0 \0' + assert_(a) + + +class TestFormat: + + def test_0d(self): + a = np.array(np.pi) + assert_equal('{:0.3g}'.format(a), '3.14') + assert_equal('{:0.3g}'.format(a[()]), '3.14') + + def test_1d_no_format(self): + a = np.array([np.pi]) + assert_equal('{}'.format(a), str(a)) + + def test_1d_format(self): + # until gh-5543, ensure that the behaviour matches what it used to be + a = np.array([np.pi]) + assert_raises(TypeError, '{:30}'.format, a) + + +from numpy.testing import IS_PYPY + + +class TestCTypes: + + def test_ctypes_is_available(self): + test_arr = np.array([[1, 2, 3], [4, 5, 6]]) + + assert_equal(ctypes, test_arr.ctypes._ctypes) + assert_equal(tuple(test_arr.ctypes.shape), (2, 3)) + + def test_ctypes_is_not_available(self): + from numpy._core import _internal + _internal.ctypes = None + try: + test_arr = np.array([[1, 2, 3], [4, 5, 6]]) + + assert_(isinstance(test_arr.ctypes._ctypes, + _internal._missing_ctypes)) + assert_equal(tuple(test_arr.ctypes.shape), (2, 3)) + finally: + _internal.ctypes = ctypes + + def _make_readonly(x): + x.flags.writeable = False + return x + + @pytest.mark.parametrize('arr', [ + np.array([1, 2, 3]), + np.array([['one', 'two'], ['three', 'four']]), + np.array((1, 2), dtype='i4,i4'), + np.zeros((2,), dtype= + np.dtype(dict( + formats=['2, [44, 55]) + assert_equal(a, np.array([[0, 44], [1, 55], [2, 44]])) + # hit one of the failing paths + assert_raises(ValueError, np.place, a, a>20, []) + + def test_put_noncontiguous(self): + a = np.arange(6).reshape(2, 3).T # force non-c-contiguous + np.put(a, [0, 2], [44, 55]) + assert_equal(a, np.array([[44, 3], [55, 4], [2, 5]])) + + def test_putmask_noncontiguous(self): + a = np.arange(6).reshape(2, 3).T # force non-c-contiguous + # uses arr_putmask + np.putmask(a, a>2, a**2) + assert_equal(a, np.array([[0, 9], [1, 16], [2, 25]])) + + def test_take_mode_raise(self): + a = np.arange(6, dtype='int') + out = np.empty(2, dtype='int') + np.take(a, [0, 2], out=out, mode='raise') + assert_equal(out, np.array([0, 2])) + + def test_choose_mod_raise(self): + a = np.array([[1, 0, 1], [0, 1, 0], [1, 0, 1]]) + out = np.empty((3,3), dtype='int') + choices = [-10, 10] + np.choose(a, choices, out=out, mode='raise') + assert_equal(out, np.array([[ 10, -10, 10], + [-10, 10, -10], + [ 10, -10, 10]])) + + def test_flatiter__array__(self): + a = np.arange(9).reshape(3, 3) + b = a.T.flat + c = b.__array__() + # triggers the WRITEBACKIFCOPY resolution, assuming refcount semantics + del c + + def test_dot_out(self): + # if HAVE_CBLAS, will use WRITEBACKIFCOPY + a = np.arange(9, dtype=float).reshape(3, 3) + b = np.dot(a, a, out=a) + assert_equal(b, np.array([[15, 18, 21], [42, 54, 66], [69, 90, 111]])) + + def test_view_assign(self): + from numpy._core._multiarray_tests import ( + npy_create_writebackifcopy, npy_resolve + ) + + arr = np.arange(9).reshape(3, 3).T + arr_wb = npy_create_writebackifcopy(arr) + assert_(arr_wb.flags.writebackifcopy) + assert_(arr_wb.base is arr) + arr_wb[...] = -100 + npy_resolve(arr_wb) + # arr changes after resolve, even though we assigned to arr_wb + assert_equal(arr, -100) + # after resolve, the two arrays no longer reference each other + assert_(arr_wb.ctypes.data != 0) + assert_equal(arr_wb.base, None) + # assigning to arr_wb does not get transferred to arr + arr_wb[...] = 100 + assert_equal(arr, -100) + + @pytest.mark.leaks_references( + reason="increments self in dealloc; ignore since deprecated path.") + def test_dealloc_warning(self): + with suppress_warnings() as sup: + sup.record(RuntimeWarning) + arr = np.arange(9).reshape(3, 3) + v = arr.T + _multiarray_tests.npy_abuse_writebackifcopy(v) + assert len(sup.log) == 1 + + def test_view_discard_refcount(self): + from numpy._core._multiarray_tests import ( + npy_create_writebackifcopy, npy_discard + ) + + arr = np.arange(9).reshape(3, 3).T + orig = arr.copy() + if HAS_REFCOUNT: + arr_cnt = sys.getrefcount(arr) + arr_wb = npy_create_writebackifcopy(arr) + assert_(arr_wb.flags.writebackifcopy) + assert_(arr_wb.base is arr) + arr_wb[...] = -100 + npy_discard(arr_wb) + # arr remains unchanged after discard + assert_equal(arr, orig) + # after discard, the two arrays no longer reference each other + assert_(arr_wb.ctypes.data != 0) + assert_equal(arr_wb.base, None) + if HAS_REFCOUNT: + assert_equal(arr_cnt, sys.getrefcount(arr)) + # assigning to arr_wb does not get transferred to arr + arr_wb[...] = 100 + assert_equal(arr, orig) + + +class TestArange: + def test_infinite(self): + assert_raises_regex( + ValueError, "size exceeded", + np.arange, 0, np.inf + ) + + def test_nan_step(self): + assert_raises_regex( + ValueError, "cannot compute length", + np.arange, 0, 1, np.nan + ) + + def test_zero_step(self): + assert_raises(ZeroDivisionError, np.arange, 0, 10, 0) + assert_raises(ZeroDivisionError, np.arange, 0.0, 10.0, 0.0) + + # empty range + assert_raises(ZeroDivisionError, np.arange, 0, 0, 0) + assert_raises(ZeroDivisionError, np.arange, 0.0, 0.0, 0.0) + + def test_require_range(self): + assert_raises(TypeError, np.arange) + assert_raises(TypeError, np.arange, step=3) + assert_raises(TypeError, np.arange, dtype='int64') + assert_raises(TypeError, np.arange, start=4) + + def test_start_stop_kwarg(self): + keyword_stop = np.arange(stop=3) + keyword_zerotostop = np.arange(0, stop=3) + keyword_start_stop = np.arange(start=3, stop=9) + + assert len(keyword_stop) == 3 + assert len(keyword_zerotostop) == 3 + assert len(keyword_start_stop) == 6 + assert_array_equal(keyword_stop, keyword_zerotostop) + + def test_arange_booleans(self): + # Arange makes some sense for booleans and works up to length 2. + # But it is weird since `arange(2, 4, dtype=bool)` works. + # Arguably, much or all of this could be deprecated/removed. + res = np.arange(False, dtype=bool) + assert_array_equal(res, np.array([], dtype="bool")) + + res = np.arange(True, dtype="bool") + assert_array_equal(res, [False]) + + res = np.arange(2, dtype="bool") + assert_array_equal(res, [False, True]) + + # This case is especially weird, but drops out without special case: + res = np.arange(6, 8, dtype="bool") + assert_array_equal(res, [True, True]) + + with pytest.raises(TypeError): + np.arange(3, dtype="bool") + + @pytest.mark.parametrize("dtype", ["S3", "U", "5i"]) + def test_rejects_bad_dtypes(self, dtype): + dtype = np.dtype(dtype) + DType_name = re.escape(str(type(dtype))) + with pytest.raises(TypeError, + match=rf"arange\(\) not supported for inputs .* {DType_name}"): + np.arange(2, dtype=dtype) + + def test_rejects_strings(self): + # Explicitly test error for strings which may call "b" - "a": + DType_name = re.escape(str(type(np.array("a").dtype))) + with pytest.raises(TypeError, + match=rf"arange\(\) not supported for inputs .* {DType_name}"): + np.arange("a", "b") + + def test_byteswapped(self): + res_be = np.arange(1, 1000, dtype=">i4") + res_le = np.arange(1, 1000, dtype="i4" + assert res_le.dtype == " arr2 + + +@pytest.mark.parametrize("op", [ + operator.eq, operator.ne, operator.le, operator.lt, operator.ge, + operator.gt]) +def test_comparisons_forwards_error(op): + class NotArray: + def __array__(self, dtype=None, copy=None): + raise TypeError("run you fools") + + with pytest.raises(TypeError, match="run you fools"): + op(np.arange(2), NotArray()) + + with pytest.raises(TypeError, match="run you fools"): + op(NotArray(), np.arange(2)) + + +def test_richcompare_scalar_boolean_singleton_return(): + # These are currently guaranteed to be the boolean singletons, but maybe + # returning NumPy booleans would also be OK: + assert (np.array(0) == "a") is False + assert (np.array(0) != "a") is True + assert (np.int16(0) == "a") is False + assert (np.int16(0) != "a") is True + + +@pytest.mark.parametrize("op", [ + operator.eq, operator.ne, operator.le, operator.lt, operator.ge, + operator.gt]) +def test_ragged_comparison_fails(op): + # This needs to convert the internal array to True/False, which fails: + a = np.array([1, np.array([1, 2, 3])], dtype=object) + b = np.array([1, np.array([1, 2, 3])], dtype=object) + + with pytest.raises(ValueError, match="The truth value.*ambiguous"): + op(a, b) + + +@pytest.mark.parametrize( + ["fun", "npfun"], + [ + (_multiarray_tests.npy_cabs, np.absolute), + (_multiarray_tests.npy_carg, np.angle) + ] +) +@pytest.mark.parametrize("x", [1, np.inf, -np.inf, np.nan]) +@pytest.mark.parametrize("y", [1, np.inf, -np.inf, np.nan]) +@pytest.mark.parametrize("test_dtype", np.complexfloating.__subclasses__()) +def test_npymath_complex(fun, npfun, x, y, test_dtype): + # Smoketest npymath functions + z = test_dtype(complex(x, y)) + with np.errstate(invalid='ignore'): + # Fallback implementations may emit a warning for +-inf (see gh-24876): + # RuntimeWarning: invalid value encountered in absolute + got = fun(z) + expected = npfun(z) + assert_allclose(got, expected) + + +def test_npymath_real(): + # Smoketest npymath functions + from numpy._core._multiarray_tests import ( + npy_log10, npy_cosh, npy_sinh, npy_tan, npy_tanh) + + funcs = {npy_log10: np.log10, + npy_cosh: np.cosh, + npy_sinh: np.sinh, + npy_tan: np.tan, + npy_tanh: np.tanh} + vals = (1, np.inf, -np.inf, np.nan) + types = (np.float32, np.float64, np.longdouble) + + with np.errstate(all='ignore'): + for fun, npfun in funcs.items(): + for x, t in itertools.product(vals, types): + z = t(x) + got = fun(z) + expected = npfun(z) + assert_allclose(got, expected) + +def test_uintalignment_and_alignment(): + # alignment code needs to satisfy these requirements: + # 1. numpy structs match C struct layout + # 2. ufuncs/casting is safe wrt to aligned access + # 3. copy code is safe wrt to "uint alidned" access + # + # Complex types are the main problem, whose alignment may not be the same + # as their "uint alignment". + # + # This test might only fail on certain platforms, where uint64 alignment is + # not equal to complex64 alignment. The second 2 tests will only fail + # for DEBUG=1. + + d1 = np.dtype('u1,c8', align=True) + d2 = np.dtype('u4,c8', align=True) + d3 = np.dtype({'names': ['a', 'b'], 'formats': ['u1', d1]}, align=True) + + assert_equal(np.zeros(1, dtype=d1)['f1'].flags['ALIGNED'], True) + assert_equal(np.zeros(1, dtype=d2)['f1'].flags['ALIGNED'], True) + assert_equal(np.zeros(1, dtype='u1,c8')['f1'].flags['ALIGNED'], False) + + # check that C struct matches numpy struct size + s = _multiarray_tests.get_struct_alignments() + for d, (alignment, size) in zip([d1,d2,d3], s): + assert_equal(d.alignment, alignment) + assert_equal(d.itemsize, size) + + # check that ufuncs don't complain in debug mode + # (this is probably OK if the aligned flag is true above) + src = np.zeros((2,2), dtype=d1)['f1'] # 4-byte aligned, often + np.exp(src) # assert fails? + + # check that copy code doesn't complain in debug mode + dst = np.zeros((2,2), dtype='c8') + dst[:,1] = src[:,1] # assert in lowlevel_strided_loops fails? + +class TestAlignment: + # adapted from scipy._lib.tests.test__util.test__aligned_zeros + # Checks that unusual memory alignments don't trip up numpy. + + def check(self, shape, dtype, order, align): + err_msg = repr((shape, dtype, order, align)) + x = _aligned_zeros(shape, dtype, order, align=align) + if align is None: + align = np.dtype(dtype).alignment + assert_equal(x.__array_interface__['data'][0] % align, 0) + if hasattr(shape, '__len__'): + assert_equal(x.shape, shape, err_msg) + else: + assert_equal(x.shape, (shape,), err_msg) + assert_equal(x.dtype, dtype) + if order == "C": + assert_(x.flags.c_contiguous, err_msg) + elif order == "F": + if x.size > 0: + assert_(x.flags.f_contiguous, err_msg) + elif order is None: + assert_(x.flags.c_contiguous, err_msg) + else: + raise ValueError + + def test_various_alignments(self): + for align in [1, 2, 3, 4, 8, 12, 16, 32, 64, None]: + for n in [0, 1, 3, 11]: + for order in ["C", "F", None]: + for dtype in list(np.typecodes["All"]) + ['i4,i4,i4']: + if dtype == 'O': + # object dtype can't be misaligned + continue + for shape in [n, (1, 2, 3, n)]: + self.check(shape, np.dtype(dtype), order, align) + + def test_strided_loop_alignments(self): + # particularly test that complex64 and float128 use right alignment + # code-paths, since these are particularly problematic. It is useful to + # turn on USE_DEBUG for this test, so lowlevel-loop asserts are run. + for align in [1, 2, 4, 8, 12, 16, None]: + xf64 = _aligned_zeros(3, np.float64) + + xc64 = _aligned_zeros(3, np.complex64, align=align) + xf128 = _aligned_zeros(3, np.longdouble, align=align) + + # test casting, both to and from misaligned + with suppress_warnings() as sup: + sup.filter(ComplexWarning, "Casting complex values") + xc64.astype('f8') + xf64.astype(np.complex64) + test = xc64 + xf64 + + xf128.astype('f8') + xf64.astype(np.longdouble) + test = xf128 + xf64 + + test = xf128 + xc64 + + # test copy, both to and from misaligned + # contig copy + xf64[:] = xf64.copy() + xc64[:] = xc64.copy() + xf128[:] = xf128.copy() + # strided copy + xf64[::2] = xf64[::2].copy() + xc64[::2] = xc64[::2].copy() + xf128[::2] = xf128[::2].copy() + +def test_getfield(): + a = np.arange(32, dtype='uint16') + if sys.byteorder == 'little': + i = 0 + j = 1 + else: + i = 1 + j = 0 + b = a.getfield('int8', i) + assert_equal(b, a) + b = a.getfield('int8', j) + assert_equal(b, 0) + pytest.raises(ValueError, a.getfield, 'uint8', -1) + pytest.raises(ValueError, a.getfield, 'uint8', 16) + pytest.raises(ValueError, a.getfield, 'uint64', 0) + + +class TestViewDtype: + """ + Verify that making a view of a non-contiguous array works as expected. + """ + def test_smaller_dtype_multiple(self): + # x is non-contiguous + x = np.arange(10, dtype=' rc_a) + assert_(sys.getrefcount(dt) > rc_dt) + # del 'it' + it = None + assert_equal(sys.getrefcount(a), rc_a) + assert_equal(sys.getrefcount(dt), rc_dt) + + # With a copy + a = arange(6, dtype='f4') + dt = np.dtype('f4') + rc_a = sys.getrefcount(a) + rc_dt = sys.getrefcount(dt) + it = nditer(a, [], + [['readwrite']], + op_dtypes=[dt]) + rc2_a = sys.getrefcount(a) + rc2_dt = sys.getrefcount(dt) + it2 = it.copy() + assert_(sys.getrefcount(a) > rc2_a) + if sys.version_info < (3, 13): + # np.dtype('f4') is immortal after Python 3.13 + assert_(sys.getrefcount(dt) > rc2_dt) + it = None + assert_equal(sys.getrefcount(a), rc2_a) + assert_equal(sys.getrefcount(dt), rc2_dt) + it2 = None + assert_equal(sys.getrefcount(a), rc_a) + assert_equal(sys.getrefcount(dt), rc_dt) + + del it2 # avoid pyflakes unused variable warning + +def test_iter_best_order(): + # The iterator should always find the iteration order + # with increasing memory addresses + + # Test the ordering for 1-D to 5-D shapes + for shape in [(5,), (3, 4), (2, 3, 4), (2, 3, 4, 3), (2, 3, 2, 2, 3)]: + a = arange(np.prod(shape)) + # Test each combination of positive and negative strides + for dirs in range(2**len(shape)): + dirs_index = [slice(None)]*len(shape) + for bit in range(len(shape)): + if ((2**bit) & dirs): + dirs_index[bit] = slice(None, None, -1) + dirs_index = tuple(dirs_index) + + aview = a.reshape(shape)[dirs_index] + # C-order + i = nditer(aview, [], [['readonly']]) + assert_equal(list(i), a) + # Fortran-order + i = nditer(aview.T, [], [['readonly']]) + assert_equal(list(i), a) + # Other order + if len(shape) > 2: + i = nditer(aview.swapaxes(0, 1), [], [['readonly']]) + assert_equal(list(i), a) + +def test_iter_c_order(): + # Test forcing C order + + # Test the ordering for 1-D to 5-D shapes + for shape in [(5,), (3, 4), (2, 3, 4), (2, 3, 4, 3), (2, 3, 2, 2, 3)]: + a = arange(np.prod(shape)) + # Test each combination of positive and negative strides + for dirs in range(2**len(shape)): + dirs_index = [slice(None)]*len(shape) + for bit in range(len(shape)): + if ((2**bit) & dirs): + dirs_index[bit] = slice(None, None, -1) + dirs_index = tuple(dirs_index) + + aview = a.reshape(shape)[dirs_index] + # C-order + i = nditer(aview, order='C') + assert_equal(list(i), aview.ravel(order='C')) + # Fortran-order + i = nditer(aview.T, order='C') + assert_equal(list(i), aview.T.ravel(order='C')) + # Other order + if len(shape) > 2: + i = nditer(aview.swapaxes(0, 1), order='C') + assert_equal(list(i), + aview.swapaxes(0, 1).ravel(order='C')) + +def test_iter_f_order(): + # Test forcing F order + + # Test the ordering for 1-D to 5-D shapes + for shape in [(5,), (3, 4), (2, 3, 4), (2, 3, 4, 3), (2, 3, 2, 2, 3)]: + a = arange(np.prod(shape)) + # Test each combination of positive and negative strides + for dirs in range(2**len(shape)): + dirs_index = [slice(None)]*len(shape) + for bit in range(len(shape)): + if ((2**bit) & dirs): + dirs_index[bit] = slice(None, None, -1) + dirs_index = tuple(dirs_index) + + aview = a.reshape(shape)[dirs_index] + # C-order + i = nditer(aview, order='F') + assert_equal(list(i), aview.ravel(order='F')) + # Fortran-order + i = nditer(aview.T, order='F') + assert_equal(list(i), aview.T.ravel(order='F')) + # Other order + if len(shape) > 2: + i = nditer(aview.swapaxes(0, 1), order='F') + assert_equal(list(i), + aview.swapaxes(0, 1).ravel(order='F')) + +def test_iter_c_or_f_order(): + # Test forcing any contiguous (C or F) order + + # Test the ordering for 1-D to 5-D shapes + for shape in [(5,), (3, 4), (2, 3, 4), (2, 3, 4, 3), (2, 3, 2, 2, 3)]: + a = arange(np.prod(shape)) + # Test each combination of positive and negative strides + for dirs in range(2**len(shape)): + dirs_index = [slice(None)]*len(shape) + for bit in range(len(shape)): + if ((2**bit) & dirs): + dirs_index[bit] = slice(None, None, -1) + dirs_index = tuple(dirs_index) + + aview = a.reshape(shape)[dirs_index] + # C-order + i = nditer(aview, order='A') + assert_equal(list(i), aview.ravel(order='A')) + # Fortran-order + i = nditer(aview.T, order='A') + assert_equal(list(i), aview.T.ravel(order='A')) + # Other order + if len(shape) > 2: + i = nditer(aview.swapaxes(0, 1), order='A') + assert_equal(list(i), + aview.swapaxes(0, 1).ravel(order='A')) + +def test_nditer_multi_index_set(): + # Test the multi_index set + a = np.arange(6).reshape(2, 3) + it = np.nditer(a, flags=['multi_index']) + + # Removes the iteration on two first elements of a[0] + it.multi_index = (0, 2,) + + assert_equal(list(it), [2, 3, 4, 5]) + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +def test_nditer_multi_index_set_refcount(): + # Test if the reference count on index variable is decreased + + index = 0 + i = np.nditer(np.array([111, 222, 333, 444]), flags=['multi_index']) + + start_count = sys.getrefcount(index) + i.multi_index = (index,) + end_count = sys.getrefcount(index) + + assert_equal(start_count, end_count) + +def test_iter_best_order_multi_index_1d(): + # The multi-indices should be correct with any reordering + + a = arange(4) + # 1D order + i = nditer(a, ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(0,), (1,), (2,), (3,)]) + # 1D reversed order + i = nditer(a[::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(3,), (2,), (1,), (0,)]) + +def test_iter_best_order_multi_index_2d(): + # The multi-indices should be correct with any reordering + + a = arange(6) + # 2D C-order + i = nditer(a.reshape(2, 3), ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2)]) + # 2D Fortran-order + i = nditer(a.reshape(2, 3).copy(order='F'), ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(0, 0), (1, 0), (0, 1), (1, 1), (0, 2), (1, 2)]) + # 2D reversed C-order + i = nditer(a.reshape(2, 3)[::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(1, 0), (1, 1), (1, 2), (0, 0), (0, 1), (0, 2)]) + i = nditer(a.reshape(2, 3)[:, ::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(0, 2), (0, 1), (0, 0), (1, 2), (1, 1), (1, 0)]) + i = nditer(a.reshape(2, 3)[::-1, ::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(1, 2), (1, 1), (1, 0), (0, 2), (0, 1), (0, 0)]) + # 2D reversed Fortran-order + i = nditer(a.reshape(2, 3).copy(order='F')[::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(1, 0), (0, 0), (1, 1), (0, 1), (1, 2), (0, 2)]) + i = nditer(a.reshape(2, 3).copy(order='F')[:, ::-1], + ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(0, 2), (1, 2), (0, 1), (1, 1), (0, 0), (1, 0)]) + i = nditer(a.reshape(2, 3).copy(order='F')[::-1, ::-1], + ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), [(1, 2), (0, 2), (1, 1), (0, 1), (1, 0), (0, 0)]) + +def test_iter_best_order_multi_index_3d(): + # The multi-indices should be correct with any reordering + + a = arange(12) + # 3D C-order + i = nditer(a.reshape(2, 3, 2), ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 1), (0, 2, 0), (0, 2, 1), + (1, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1), (1, 2, 0), (1, 2, 1)]) + # 3D Fortran-order + i = nditer(a.reshape(2, 3, 2).copy(order='F'), ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(0, 0, 0), (1, 0, 0), (0, 1, 0), (1, 1, 0), (0, 2, 0), (1, 2, 0), + (0, 0, 1), (1, 0, 1), (0, 1, 1), (1, 1, 1), (0, 2, 1), (1, 2, 1)]) + # 3D reversed C-order + i = nditer(a.reshape(2, 3, 2)[::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(1, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1), (1, 2, 0), (1, 2, 1), + (0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 1), (0, 2, 0), (0, 2, 1)]) + i = nditer(a.reshape(2, 3, 2)[:, ::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(0, 2, 0), (0, 2, 1), (0, 1, 0), (0, 1, 1), (0, 0, 0), (0, 0, 1), + (1, 2, 0), (1, 2, 1), (1, 1, 0), (1, 1, 1), (1, 0, 0), (1, 0, 1)]) + i = nditer(a.reshape(2, 3, 2)[:, :, ::-1], ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(0, 0, 1), (0, 0, 0), (0, 1, 1), (0, 1, 0), (0, 2, 1), (0, 2, 0), + (1, 0, 1), (1, 0, 0), (1, 1, 1), (1, 1, 0), (1, 2, 1), (1, 2, 0)]) + # 3D reversed Fortran-order + i = nditer(a.reshape(2, 3, 2).copy(order='F')[::-1], + ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(1, 0, 0), (0, 0, 0), (1, 1, 0), (0, 1, 0), (1, 2, 0), (0, 2, 0), + (1, 0, 1), (0, 0, 1), (1, 1, 1), (0, 1, 1), (1, 2, 1), (0, 2, 1)]) + i = nditer(a.reshape(2, 3, 2).copy(order='F')[:, ::-1], + ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(0, 2, 0), (1, 2, 0), (0, 1, 0), (1, 1, 0), (0, 0, 0), (1, 0, 0), + (0, 2, 1), (1, 2, 1), (0, 1, 1), (1, 1, 1), (0, 0, 1), (1, 0, 1)]) + i = nditer(a.reshape(2, 3, 2).copy(order='F')[:, :, ::-1], + ['multi_index'], [['readonly']]) + assert_equal(iter_multi_index(i), + [(0, 0, 1), (1, 0, 1), (0, 1, 1), (1, 1, 1), (0, 2, 1), (1, 2, 1), + (0, 0, 0), (1, 0, 0), (0, 1, 0), (1, 1, 0), (0, 2, 0), (1, 2, 0)]) + +def test_iter_best_order_c_index_1d(): + # The C index should be correct with any reordering + + a = arange(4) + # 1D order + i = nditer(a, ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [0, 1, 2, 3]) + # 1D reversed order + i = nditer(a[::-1], ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [3, 2, 1, 0]) + +def test_iter_best_order_c_index_2d(): + # The C index should be correct with any reordering + + a = arange(6) + # 2D C-order + i = nditer(a.reshape(2, 3), ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [0, 1, 2, 3, 4, 5]) + # 2D Fortran-order + i = nditer(a.reshape(2, 3).copy(order='F'), + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [0, 3, 1, 4, 2, 5]) + # 2D reversed C-order + i = nditer(a.reshape(2, 3)[::-1], ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [3, 4, 5, 0, 1, 2]) + i = nditer(a.reshape(2, 3)[:, ::-1], ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [2, 1, 0, 5, 4, 3]) + i = nditer(a.reshape(2, 3)[::-1, ::-1], ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [5, 4, 3, 2, 1, 0]) + # 2D reversed Fortran-order + i = nditer(a.reshape(2, 3).copy(order='F')[::-1], + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [3, 0, 4, 1, 5, 2]) + i = nditer(a.reshape(2, 3).copy(order='F')[:, ::-1], + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [2, 5, 1, 4, 0, 3]) + i = nditer(a.reshape(2, 3).copy(order='F')[::-1, ::-1], + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), [5, 2, 4, 1, 3, 0]) + +def test_iter_best_order_c_index_3d(): + # The C index should be correct with any reordering + + a = arange(12) + # 3D C-order + i = nditer(a.reshape(2, 3, 2), ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]) + # 3D Fortran-order + i = nditer(a.reshape(2, 3, 2).copy(order='F'), + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [0, 6, 2, 8, 4, 10, 1, 7, 3, 9, 5, 11]) + # 3D reversed C-order + i = nditer(a.reshape(2, 3, 2)[::-1], ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5]) + i = nditer(a.reshape(2, 3, 2)[:, ::-1], ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [4, 5, 2, 3, 0, 1, 10, 11, 8, 9, 6, 7]) + i = nditer(a.reshape(2, 3, 2)[:, :, ::-1], ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [1, 0, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10]) + # 3D reversed Fortran-order + i = nditer(a.reshape(2, 3, 2).copy(order='F')[::-1], + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [6, 0, 8, 2, 10, 4, 7, 1, 9, 3, 11, 5]) + i = nditer(a.reshape(2, 3, 2).copy(order='F')[:, ::-1], + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [4, 10, 2, 8, 0, 6, 5, 11, 3, 9, 1, 7]) + i = nditer(a.reshape(2, 3, 2).copy(order='F')[:, :, ::-1], + ['c_index'], [['readonly']]) + assert_equal(iter_indices(i), + [1, 7, 3, 9, 5, 11, 0, 6, 2, 8, 4, 10]) + +def test_iter_best_order_f_index_1d(): + # The Fortran index should be correct with any reordering + + a = arange(4) + # 1D order + i = nditer(a, ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [0, 1, 2, 3]) + # 1D reversed order + i = nditer(a[::-1], ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [3, 2, 1, 0]) + +def test_iter_best_order_f_index_2d(): + # The Fortran index should be correct with any reordering + + a = arange(6) + # 2D C-order + i = nditer(a.reshape(2, 3), ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [0, 2, 4, 1, 3, 5]) + # 2D Fortran-order + i = nditer(a.reshape(2, 3).copy(order='F'), + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [0, 1, 2, 3, 4, 5]) + # 2D reversed C-order + i = nditer(a.reshape(2, 3)[::-1], ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [1, 3, 5, 0, 2, 4]) + i = nditer(a.reshape(2, 3)[:, ::-1], ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [4, 2, 0, 5, 3, 1]) + i = nditer(a.reshape(2, 3)[::-1, ::-1], ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [5, 3, 1, 4, 2, 0]) + # 2D reversed Fortran-order + i = nditer(a.reshape(2, 3).copy(order='F')[::-1], + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [1, 0, 3, 2, 5, 4]) + i = nditer(a.reshape(2, 3).copy(order='F')[:, ::-1], + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [4, 5, 2, 3, 0, 1]) + i = nditer(a.reshape(2, 3).copy(order='F')[::-1, ::-1], + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), [5, 4, 3, 2, 1, 0]) + +def test_iter_best_order_f_index_3d(): + # The Fortran index should be correct with any reordering + + a = arange(12) + # 3D C-order + i = nditer(a.reshape(2, 3, 2), ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [0, 6, 2, 8, 4, 10, 1, 7, 3, 9, 5, 11]) + # 3D Fortran-order + i = nditer(a.reshape(2, 3, 2).copy(order='F'), + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]) + # 3D reversed C-order + i = nditer(a.reshape(2, 3, 2)[::-1], ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [1, 7, 3, 9, 5, 11, 0, 6, 2, 8, 4, 10]) + i = nditer(a.reshape(2, 3, 2)[:, ::-1], ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [4, 10, 2, 8, 0, 6, 5, 11, 3, 9, 1, 7]) + i = nditer(a.reshape(2, 3, 2)[:, :, ::-1], ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [6, 0, 8, 2, 10, 4, 7, 1, 9, 3, 11, 5]) + # 3D reversed Fortran-order + i = nditer(a.reshape(2, 3, 2).copy(order='F')[::-1], + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [1, 0, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10]) + i = nditer(a.reshape(2, 3, 2).copy(order='F')[:, ::-1], + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [4, 5, 2, 3, 0, 1, 10, 11, 8, 9, 6, 7]) + i = nditer(a.reshape(2, 3, 2).copy(order='F')[:, :, ::-1], + ['f_index'], [['readonly']]) + assert_equal(iter_indices(i), + [6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5]) + +def test_iter_no_inner_full_coalesce(): + # Check no_inner iterators which coalesce into a single inner loop + + for shape in [(5,), (3, 4), (2, 3, 4), (2, 3, 4, 3), (2, 3, 2, 2, 3)]: + size = np.prod(shape) + a = arange(size) + # Test each combination of forward and backwards indexing + for dirs in range(2**len(shape)): + dirs_index = [slice(None)]*len(shape) + for bit in range(len(shape)): + if ((2**bit) & dirs): + dirs_index[bit] = slice(None, None, -1) + dirs_index = tuple(dirs_index) + + aview = a.reshape(shape)[dirs_index] + # C-order + i = nditer(aview, ['external_loop'], [['readonly']]) + assert_equal(i.ndim, 1) + assert_equal(i[0].shape, (size,)) + # Fortran-order + i = nditer(aview.T, ['external_loop'], [['readonly']]) + assert_equal(i.ndim, 1) + assert_equal(i[0].shape, (size,)) + # Other order + if len(shape) > 2: + i = nditer(aview.swapaxes(0, 1), + ['external_loop'], [['readonly']]) + assert_equal(i.ndim, 1) + assert_equal(i[0].shape, (size,)) + +def test_iter_no_inner_dim_coalescing(): + # Check no_inner iterators whose dimensions may not coalesce completely + + # Skipping the last element in a dimension prevents coalescing + # with the next-bigger dimension + a = arange(24).reshape(2, 3, 4)[:, :, :-1] + i = nditer(a, ['external_loop'], [['readonly']]) + assert_equal(i.ndim, 2) + assert_equal(i[0].shape, (3,)) + a = arange(24).reshape(2, 3, 4)[:, :-1, :] + i = nditer(a, ['external_loop'], [['readonly']]) + assert_equal(i.ndim, 2) + assert_equal(i[0].shape, (8,)) + a = arange(24).reshape(2, 3, 4)[:-1, :, :] + i = nditer(a, ['external_loop'], [['readonly']]) + assert_equal(i.ndim, 1) + assert_equal(i[0].shape, (12,)) + + # Even with lots of 1-sized dimensions, should still coalesce + a = arange(24).reshape(1, 1, 2, 1, 1, 3, 1, 1, 4, 1, 1) + i = nditer(a, ['external_loop'], [['readonly']]) + assert_equal(i.ndim, 1) + assert_equal(i[0].shape, (24,)) + +def test_iter_dim_coalescing(): + # Check that the correct number of dimensions are coalesced + + # Tracking a multi-index disables coalescing + a = arange(24).reshape(2, 3, 4) + i = nditer(a, ['multi_index'], [['readonly']]) + assert_equal(i.ndim, 3) + + # A tracked index can allow coalescing if it's compatible with the array + a3d = arange(24).reshape(2, 3, 4) + i = nditer(a3d, ['c_index'], [['readonly']]) + assert_equal(i.ndim, 1) + i = nditer(a3d.swapaxes(0, 1), ['c_index'], [['readonly']]) + assert_equal(i.ndim, 3) + i = nditer(a3d.T, ['c_index'], [['readonly']]) + assert_equal(i.ndim, 3) + i = nditer(a3d.T, ['f_index'], [['readonly']]) + assert_equal(i.ndim, 1) + i = nditer(a3d.T.swapaxes(0, 1), ['f_index'], [['readonly']]) + assert_equal(i.ndim, 3) + + # When C or F order is forced, coalescing may still occur + a3d = arange(24).reshape(2, 3, 4) + i = nditer(a3d, order='C') + assert_equal(i.ndim, 1) + i = nditer(a3d.T, order='C') + assert_equal(i.ndim, 3) + i = nditer(a3d, order='F') + assert_equal(i.ndim, 3) + i = nditer(a3d.T, order='F') + assert_equal(i.ndim, 1) + i = nditer(a3d, order='A') + assert_equal(i.ndim, 1) + i = nditer(a3d.T, order='A') + assert_equal(i.ndim, 1) + +def test_iter_broadcasting(): + # Standard NumPy broadcasting rules + + # 1D with scalar + i = nditer([arange(6), np.int32(2)], ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 6) + assert_equal(i.shape, (6,)) + + # 2D with scalar + i = nditer([arange(6).reshape(2, 3), np.int32(2)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 6) + assert_equal(i.shape, (2, 3)) + # 2D with 1D + i = nditer([arange(6).reshape(2, 3), arange(3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 6) + assert_equal(i.shape, (2, 3)) + i = nditer([arange(2).reshape(2, 1), arange(3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 6) + assert_equal(i.shape, (2, 3)) + # 2D with 2D + i = nditer([arange(2).reshape(2, 1), arange(3).reshape(1, 3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 6) + assert_equal(i.shape, (2, 3)) + + # 3D with scalar + i = nditer([np.int32(2), arange(24).reshape(4, 2, 3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + # 3D with 1D + i = nditer([arange(3), arange(24).reshape(4, 2, 3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + i = nditer([arange(3), arange(8).reshape(4, 2, 1)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + # 3D with 2D + i = nditer([arange(6).reshape(2, 3), arange(24).reshape(4, 2, 3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + i = nditer([arange(2).reshape(2, 1), arange(24).reshape(4, 2, 3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + i = nditer([arange(3).reshape(1, 3), arange(8).reshape(4, 2, 1)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + # 3D with 3D + i = nditer([arange(2).reshape(1, 2, 1), arange(3).reshape(1, 1, 3), + arange(4).reshape(4, 1, 1)], + ['multi_index'], [['readonly']]*3) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + i = nditer([arange(6).reshape(1, 2, 3), arange(4).reshape(4, 1, 1)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + i = nditer([arange(24).reshape(4, 2, 3), arange(12).reshape(4, 1, 3)], + ['multi_index'], [['readonly']]*2) + assert_equal(i.itersize, 24) + assert_equal(i.shape, (4, 2, 3)) + +def test_iter_itershape(): + # Check that allocated outputs work with a specified shape + a = np.arange(6, dtype='i2').reshape(2, 3) + i = nditer([a, None], [], [['readonly'], ['writeonly', 'allocate']], + op_axes=[[0, 1, None], None], + itershape=(-1, -1, 4)) + assert_equal(i.operands[1].shape, (2, 3, 4)) + assert_equal(i.operands[1].strides, (24, 8, 2)) + + i = nditer([a.T, None], [], [['readonly'], ['writeonly', 'allocate']], + op_axes=[[0, 1, None], None], + itershape=(-1, -1, 4)) + assert_equal(i.operands[1].shape, (3, 2, 4)) + assert_equal(i.operands[1].strides, (8, 24, 2)) + + i = nditer([a.T, None], [], [['readonly'], ['writeonly', 'allocate']], + order='F', + op_axes=[[0, 1, None], None], + itershape=(-1, -1, 4)) + assert_equal(i.operands[1].shape, (3, 2, 4)) + assert_equal(i.operands[1].strides, (2, 6, 12)) + + # If we specify 1 in the itershape, it shouldn't allow broadcasting + # of that dimension to a bigger value + assert_raises(ValueError, nditer, [a, None], [], + [['readonly'], ['writeonly', 'allocate']], + op_axes=[[0, 1, None], None], + itershape=(-1, 1, 4)) + # Test bug that for no op_axes but itershape, they are NULLed correctly + i = np.nditer([np.ones(2), None, None], itershape=(2,)) + +def test_iter_broadcasting_errors(): + # Check that errors are thrown for bad broadcasting shapes + + # 1D with 1D + assert_raises(ValueError, nditer, [arange(2), arange(3)], + [], [['readonly']]*2) + # 2D with 1D + assert_raises(ValueError, nditer, + [arange(6).reshape(2, 3), arange(2)], + [], [['readonly']]*2) + # 2D with 2D + assert_raises(ValueError, nditer, + [arange(6).reshape(2, 3), arange(9).reshape(3, 3)], + [], [['readonly']]*2) + assert_raises(ValueError, nditer, + [arange(6).reshape(2, 3), arange(4).reshape(2, 2)], + [], [['readonly']]*2) + # 3D with 3D + assert_raises(ValueError, nditer, + [arange(36).reshape(3, 3, 4), arange(24).reshape(2, 3, 4)], + [], [['readonly']]*2) + assert_raises(ValueError, nditer, + [arange(8).reshape(2, 4, 1), arange(24).reshape(2, 3, 4)], + [], [['readonly']]*2) + + # Verify that the error message mentions the right shapes + try: + nditer([arange(2).reshape(1, 2, 1), + arange(3).reshape(1, 3), + arange(6).reshape(2, 3)], + [], + [['readonly'], ['readonly'], ['writeonly', 'no_broadcast']]) + raise AssertionError('Should have raised a broadcast error') + except ValueError as e: + msg = str(e) + # The message should contain the shape of the 3rd operand + assert_(msg.find('(2,3)') >= 0, + 'Message "%s" doesn\'t contain operand shape (2,3)' % msg) + # The message should contain the broadcast shape + assert_(msg.find('(1,2,3)') >= 0, + 'Message "%s" doesn\'t contain broadcast shape (1,2,3)' % msg) + + try: + nditer([arange(6).reshape(2, 3), arange(2)], + [], + [['readonly'], ['readonly']], + op_axes=[[0, 1], [0, np.newaxis]], + itershape=(4, 3)) + raise AssertionError('Should have raised a broadcast error') + except ValueError as e: + msg = str(e) + # The message should contain "shape->remappedshape" for each operand + assert_(msg.find('(2,3)->(2,3)') >= 0, + 'Message "%s" doesn\'t contain operand shape (2,3)->(2,3)' % msg) + assert_(msg.find('(2,)->(2,newaxis)') >= 0, + ('Message "%s" doesn\'t contain remapped operand shape' + + '(2,)->(2,newaxis)') % msg) + # The message should contain the itershape parameter + assert_(msg.find('(4,3)') >= 0, + 'Message "%s" doesn\'t contain itershape parameter (4,3)' % msg) + + try: + nditer([np.zeros((2, 1, 1)), np.zeros((2,))], + [], + [['writeonly', 'no_broadcast'], ['readonly']]) + raise AssertionError('Should have raised a broadcast error') + except ValueError as e: + msg = str(e) + # The message should contain the shape of the bad operand + assert_(msg.find('(2,1,1)') >= 0, + 'Message "%s" doesn\'t contain operand shape (2,1,1)' % msg) + # The message should contain the broadcast shape + assert_(msg.find('(2,1,2)') >= 0, + 'Message "%s" doesn\'t contain the broadcast shape (2,1,2)' % msg) + +def test_iter_flags_errors(): + # Check that bad combinations of flags produce errors + + a = arange(6) + + # Not enough operands + assert_raises(ValueError, nditer, [], [], []) + # Too many operands + assert_raises(ValueError, nditer, [a]*100, [], [['readonly']]*100) + # Bad global flag + assert_raises(ValueError, nditer, [a], ['bad flag'], [['readonly']]) + # Bad op flag + assert_raises(ValueError, nditer, [a], [], [['readonly', 'bad flag']]) + # Bad order parameter + assert_raises(ValueError, nditer, [a], [], [['readonly']], order='G') + # Bad casting parameter + assert_raises(ValueError, nditer, [a], [], [['readonly']], casting='noon') + # op_flags must match ops + assert_raises(ValueError, nditer, [a]*3, [], [['readonly']]*2) + # Cannot track both a C and an F index + assert_raises(ValueError, nditer, a, + ['c_index', 'f_index'], [['readonly']]) + # Inner iteration and multi-indices/indices are incompatible + assert_raises(ValueError, nditer, a, + ['external_loop', 'multi_index'], [['readonly']]) + assert_raises(ValueError, nditer, a, + ['external_loop', 'c_index'], [['readonly']]) + assert_raises(ValueError, nditer, a, + ['external_loop', 'f_index'], [['readonly']]) + # Must specify exactly one of readwrite/readonly/writeonly per operand + assert_raises(ValueError, nditer, a, [], [[]]) + assert_raises(ValueError, nditer, a, [], [['readonly', 'writeonly']]) + assert_raises(ValueError, nditer, a, [], [['readonly', 'readwrite']]) + assert_raises(ValueError, nditer, a, [], [['writeonly', 'readwrite']]) + assert_raises(ValueError, nditer, a, + [], [['readonly', 'writeonly', 'readwrite']]) + # Python scalars are always readonly + assert_raises(TypeError, nditer, 1.5, [], [['writeonly']]) + assert_raises(TypeError, nditer, 1.5, [], [['readwrite']]) + # Array scalars are always readonly + assert_raises(TypeError, nditer, np.int32(1), [], [['writeonly']]) + assert_raises(TypeError, nditer, np.int32(1), [], [['readwrite']]) + # Check readonly array + a.flags.writeable = False + assert_raises(ValueError, nditer, a, [], [['writeonly']]) + assert_raises(ValueError, nditer, a, [], [['readwrite']]) + a.flags.writeable = True + # Multi-indices available only with the multi_index flag + i = nditer(arange(6), [], [['readonly']]) + assert_raises(ValueError, lambda i: i.multi_index, i) + # Index available only with an index flag + assert_raises(ValueError, lambda i: i.index, i) + # GotoCoords and GotoIndex incompatible with buffering or no_inner + + def assign_multi_index(i): + i.multi_index = (0,) + + def assign_index(i): + i.index = 0 + + def assign_iterindex(i): + i.iterindex = 0 + + def assign_iterrange(i): + i.iterrange = (0, 1) + i = nditer(arange(6), ['external_loop']) + assert_raises(ValueError, assign_multi_index, i) + assert_raises(ValueError, assign_index, i) + assert_raises(ValueError, assign_iterindex, i) + assert_raises(ValueError, assign_iterrange, i) + i = nditer(arange(6), ['buffered']) + assert_raises(ValueError, assign_multi_index, i) + assert_raises(ValueError, assign_index, i) + assert_raises(ValueError, assign_iterrange, i) + # Can't iterate if size is zero + assert_raises(ValueError, nditer, np.array([])) + +def test_iter_slice(): + a, b, c = np.arange(3), np.arange(3), np.arange(3.) + i = nditer([a, b, c], [], ['readwrite']) + with i: + i[0:2] = (3, 3) + assert_equal(a, [3, 1, 2]) + assert_equal(b, [3, 1, 2]) + assert_equal(c, [0, 1, 2]) + i[1] = 12 + assert_equal(i[0:2], [3, 12]) + +def test_iter_assign_mapping(): + a = np.arange(24, dtype='f8').reshape(2, 3, 4).T + it = np.nditer(a, [], [['readwrite', 'updateifcopy']], + casting='same_kind', op_dtypes=[np.dtype('f4')]) + with it: + it.operands[0][...] = 3 + it.operands[0][...] = 14 + assert_equal(a, 14) + it = np.nditer(a, [], [['readwrite', 'updateifcopy']], + casting='same_kind', op_dtypes=[np.dtype('f4')]) + with it: + x = it.operands[0][-1:1] + x[...] = 14 + it.operands[0][...] = -1234 + assert_equal(a, -1234) + # check for no warnings on dealloc + x = None + it = None + +def test_iter_nbo_align_contig(): + # Check that byte order, alignment, and contig changes work + + # Byte order change by requesting a specific dtype + a = np.arange(6, dtype='f4') + au = a.byteswap() + au = au.view(au.dtype.newbyteorder()) + assert_(a.dtype.byteorder != au.dtype.byteorder) + i = nditer(au, [], [['readwrite', 'updateifcopy']], + casting='equiv', + op_dtypes=[np.dtype('f4')]) + with i: + # context manager triggers WRITEBACKIFCOPY on i at exit + assert_equal(i.dtypes[0].byteorder, a.dtype.byteorder) + assert_equal(i.operands[0].dtype.byteorder, a.dtype.byteorder) + assert_equal(i.operands[0], a) + i.operands[0][:] = 2 + assert_equal(au, [2]*6) + del i # should not raise a warning + # Byte order change by requesting NBO + a = np.arange(6, dtype='f4') + au = a.byteswap() + au = au.view(au.dtype.newbyteorder()) + assert_(a.dtype.byteorder != au.dtype.byteorder) + with nditer(au, [], [['readwrite', 'updateifcopy', 'nbo']], + casting='equiv') as i: + # context manager triggers UPDATEIFCOPY on i at exit + assert_equal(i.dtypes[0].byteorder, a.dtype.byteorder) + assert_equal(i.operands[0].dtype.byteorder, a.dtype.byteorder) + assert_equal(i.operands[0], a) + i.operands[0][:] = 12345 + i.operands[0][:] = 2 + assert_equal(au, [2]*6) + + # Unaligned input + a = np.zeros((6*4+1,), dtype='i1')[1:] + a.dtype = 'f4' + a[:] = np.arange(6, dtype='f4') + assert_(not a.flags.aligned) + # Without 'aligned', shouldn't copy + i = nditer(a, [], [['readonly']]) + assert_(not i.operands[0].flags.aligned) + assert_equal(i.operands[0], a) + # With 'aligned', should make a copy + with nditer(a, [], [['readwrite', 'updateifcopy', 'aligned']]) as i: + assert_(i.operands[0].flags.aligned) + # context manager triggers UPDATEIFCOPY on i at exit + assert_equal(i.operands[0], a) + i.operands[0][:] = 3 + assert_equal(a, [3]*6) + + # Discontiguous input + a = arange(12) + # If it is contiguous, shouldn't copy + i = nditer(a[:6], [], [['readonly']]) + assert_(i.operands[0].flags.contiguous) + assert_equal(i.operands[0], a[:6]) + # If it isn't contiguous, should buffer + i = nditer(a[::2], ['buffered', 'external_loop'], + [['readonly', 'contig']], + buffersize=10) + assert_(i[0].flags.contiguous) + assert_equal(i[0], a[::2]) + +def test_iter_array_cast(): + # Check that arrays are cast as requested + + # No cast 'f4' -> 'f4' + a = np.arange(6, dtype='f4').reshape(2, 3) + i = nditer(a, [], [['readwrite']], op_dtypes=[np.dtype('f4')]) + with i: + assert_equal(i.operands[0], a) + assert_equal(i.operands[0].dtype, np.dtype('f4')) + + # Byte-order cast ' '>f4' + a = np.arange(6, dtype='f4')]) as i: + assert_equal(i.operands[0], a) + assert_equal(i.operands[0].dtype, np.dtype('>f4')) + + # Safe case 'f4' -> 'f8' + a = np.arange(24, dtype='f4').reshape(2, 3, 4).swapaxes(1, 2) + i = nditer(a, [], [['readonly', 'copy']], + casting='safe', + op_dtypes=[np.dtype('f8')]) + assert_equal(i.operands[0], a) + assert_equal(i.operands[0].dtype, np.dtype('f8')) + # The memory layout of the temporary should match a (a is (48,4,16)) + # except negative strides get flipped to positive strides. + assert_equal(i.operands[0].strides, (96, 8, 32)) + a = a[::-1, :, ::-1] + i = nditer(a, [], [['readonly', 'copy']], + casting='safe', + op_dtypes=[np.dtype('f8')]) + assert_equal(i.operands[0], a) + assert_equal(i.operands[0].dtype, np.dtype('f8')) + assert_equal(i.operands[0].strides, (96, 8, 32)) + + # Same-kind cast 'f8' -> 'f4' -> 'f8' + a = np.arange(24, dtype='f8').reshape(2, 3, 4).T + with nditer(a, [], + [['readwrite', 'updateifcopy']], + casting='same_kind', + op_dtypes=[np.dtype('f4')]) as i: + assert_equal(i.operands[0], a) + assert_equal(i.operands[0].dtype, np.dtype('f4')) + assert_equal(i.operands[0].strides, (4, 16, 48)) + # Check that WRITEBACKIFCOPY is activated at exit + i.operands[0][2, 1, 1] = -12.5 + assert_(a[2, 1, 1] != -12.5) + assert_equal(a[2, 1, 1], -12.5) + + a = np.arange(6, dtype='i4')[::-2] + with nditer(a, [], + [['writeonly', 'updateifcopy']], + casting='unsafe', + op_dtypes=[np.dtype('f4')]) as i: + assert_equal(i.operands[0].dtype, np.dtype('f4')) + # Even though the stride was negative in 'a', it + # becomes positive in the temporary + assert_equal(i.operands[0].strides, (4,)) + i.operands[0][:] = [1, 2, 3] + assert_equal(a, [1, 2, 3]) + +def test_iter_array_cast_errors(): + # Check that invalid casts are caught + + # Need to enable copying for casts to occur + assert_raises(TypeError, nditer, arange(2, dtype='f4'), [], + [['readonly']], op_dtypes=[np.dtype('f8')]) + # Also need to allow casting for casts to occur + assert_raises(TypeError, nditer, arange(2, dtype='f4'), [], + [['readonly', 'copy']], casting='no', + op_dtypes=[np.dtype('f8')]) + assert_raises(TypeError, nditer, arange(2, dtype='f4'), [], + [['readonly', 'copy']], casting='equiv', + op_dtypes=[np.dtype('f8')]) + assert_raises(TypeError, nditer, arange(2, dtype='f8'), [], + [['writeonly', 'updateifcopy']], + casting='no', + op_dtypes=[np.dtype('f4')]) + assert_raises(TypeError, nditer, arange(2, dtype='f8'), [], + [['writeonly', 'updateifcopy']], + casting='equiv', + op_dtypes=[np.dtype('f4')]) + # ' '>f4' should not work with casting='no' + assert_raises(TypeError, nditer, arange(2, dtype='f4')]) + # 'f4' -> 'f8' is a safe cast, but 'f8' -> 'f4' isn't + assert_raises(TypeError, nditer, arange(2, dtype='f4'), [], + [['readwrite', 'updateifcopy']], + casting='safe', + op_dtypes=[np.dtype('f8')]) + assert_raises(TypeError, nditer, arange(2, dtype='f8'), [], + [['readwrite', 'updateifcopy']], + casting='safe', + op_dtypes=[np.dtype('f4')]) + # 'f4' -> 'i4' is neither a safe nor a same-kind cast + assert_raises(TypeError, nditer, arange(2, dtype='f4'), [], + [['readonly', 'copy']], + casting='same_kind', + op_dtypes=[np.dtype('i4')]) + assert_raises(TypeError, nditer, arange(2, dtype='i4'), [], + [['writeonly', 'updateifcopy']], + casting='same_kind', + op_dtypes=[np.dtype('f4')]) + +def test_iter_scalar_cast(): + # Check that scalars are cast as requested + + # No cast 'f4' -> 'f4' + i = nditer(np.float32(2.5), [], [['readonly']], + op_dtypes=[np.dtype('f4')]) + assert_equal(i.dtypes[0], np.dtype('f4')) + assert_equal(i.value.dtype, np.dtype('f4')) + assert_equal(i.value, 2.5) + # Safe cast 'f4' -> 'f8' + i = nditer(np.float32(2.5), [], + [['readonly', 'copy']], + casting='safe', + op_dtypes=[np.dtype('f8')]) + assert_equal(i.dtypes[0], np.dtype('f8')) + assert_equal(i.value.dtype, np.dtype('f8')) + assert_equal(i.value, 2.5) + # Same-kind cast 'f8' -> 'f4' + i = nditer(np.float64(2.5), [], + [['readonly', 'copy']], + casting='same_kind', + op_dtypes=[np.dtype('f4')]) + assert_equal(i.dtypes[0], np.dtype('f4')) + assert_equal(i.value.dtype, np.dtype('f4')) + assert_equal(i.value, 2.5) + # Unsafe cast 'f8' -> 'i4' + i = nditer(np.float64(3.0), [], + [['readonly', 'copy']], + casting='unsafe', + op_dtypes=[np.dtype('i4')]) + assert_equal(i.dtypes[0], np.dtype('i4')) + assert_equal(i.value.dtype, np.dtype('i4')) + assert_equal(i.value, 3) + # Readonly scalars may be cast even without setting COPY or BUFFERED + i = nditer(3, [], [['readonly']], op_dtypes=[np.dtype('f8')]) + assert_equal(i[0].dtype, np.dtype('f8')) + assert_equal(i[0], 3.) + +def test_iter_scalar_cast_errors(): + # Check that invalid casts are caught + + # Need to allow copying/buffering for write casts of scalars to occur + assert_raises(TypeError, nditer, np.float32(2), [], + [['readwrite']], op_dtypes=[np.dtype('f8')]) + assert_raises(TypeError, nditer, 2.5, [], + [['readwrite']], op_dtypes=[np.dtype('f4')]) + # 'f8' -> 'f4' isn't a safe cast if the value would overflow + assert_raises(TypeError, nditer, np.float64(1e60), [], + [['readonly']], + casting='safe', + op_dtypes=[np.dtype('f4')]) + # 'f4' -> 'i4' is neither a safe nor a same-kind cast + assert_raises(TypeError, nditer, np.float32(2), [], + [['readonly']], + casting='same_kind', + op_dtypes=[np.dtype('i4')]) + +def test_iter_object_arrays_basic(): + # Check that object arrays work + + obj = {'a': 3, 'b': 'd'} + a = np.array([[1, 2, 3], None, obj, None], dtype='O') + if HAS_REFCOUNT: + rc = sys.getrefcount(obj) + + # Need to allow references for object arrays + assert_raises(TypeError, nditer, a) + if HAS_REFCOUNT: + assert_equal(sys.getrefcount(obj), rc) + + i = nditer(a, ['refs_ok'], ['readonly']) + vals = [x_[()] for x_ in i] + assert_equal(np.array(vals, dtype='O'), a) + vals, i, x = [None]*3 + if HAS_REFCOUNT: + assert_equal(sys.getrefcount(obj), rc) + + i = nditer(a.reshape(2, 2).T, ['refs_ok', 'buffered'], + ['readonly'], order='C') + assert_(i.iterationneedsapi) + vals = [x_[()] for x_ in i] + assert_equal(np.array(vals, dtype='O'), a.reshape(2, 2).ravel(order='F')) + vals, i, x = [None]*3 + if HAS_REFCOUNT: + assert_equal(sys.getrefcount(obj), rc) + + i = nditer(a.reshape(2, 2).T, ['refs_ok', 'buffered'], + ['readwrite'], order='C') + with i: + for x in i: + x[...] = None + vals, i, x = [None]*3 + if HAS_REFCOUNT: + assert_(sys.getrefcount(obj) == rc-1) + assert_equal(a, np.array([None]*4, dtype='O')) + +def test_iter_object_arrays_conversions(): + # Conversions to/from objects + a = np.arange(6, dtype='O') + i = nditer(a, ['refs_ok', 'buffered'], ['readwrite'], + casting='unsafe', op_dtypes='i4') + with i: + for x in i: + x[...] += 1 + assert_equal(a, np.arange(6)+1) + + a = np.arange(6, dtype='i4') + i = nditer(a, ['refs_ok', 'buffered'], ['readwrite'], + casting='unsafe', op_dtypes='O') + with i: + for x in i: + x[...] += 1 + assert_equal(a, np.arange(6)+1) + + # Non-contiguous object array + a = np.zeros((6,), dtype=[('p', 'i1'), ('a', 'O')]) + a = a['a'] + a[:] = np.arange(6) + i = nditer(a, ['refs_ok', 'buffered'], ['readwrite'], + casting='unsafe', op_dtypes='i4') + with i: + for x in i: + x[...] += 1 + assert_equal(a, np.arange(6)+1) + + #Non-contiguous value array + a = np.zeros((6,), dtype=[('p', 'i1'), ('a', 'i4')]) + a = a['a'] + a[:] = np.arange(6) + 98172488 + i = nditer(a, ['refs_ok', 'buffered'], ['readwrite'], + casting='unsafe', op_dtypes='O') + with i: + ob = i[0][()] + if HAS_REFCOUNT: + rc = sys.getrefcount(ob) + for x in i: + x[...] += 1 + if HAS_REFCOUNT: + assert_(sys.getrefcount(ob) == rc-1) + assert_equal(a, np.arange(6)+98172489) + +def test_iter_common_dtype(): + # Check that the iterator finds a common data type correctly + # (some checks are somewhat duplicate after adopting NEP 50) + + i = nditer([array([3], dtype='f4'), array([0], dtype='f8')], + ['common_dtype'], + [['readonly', 'copy']]*2, + casting='safe') + assert_equal(i.dtypes[0], np.dtype('f8')) + assert_equal(i.dtypes[1], np.dtype('f8')) + i = nditer([array([3], dtype='i4'), array([0], dtype='f4')], + ['common_dtype'], + [['readonly', 'copy']]*2, + casting='safe') + assert_equal(i.dtypes[0], np.dtype('f8')) + assert_equal(i.dtypes[1], np.dtype('f8')) + i = nditer([array([3], dtype='f4'), array(0, dtype='f8')], + ['common_dtype'], + [['readonly', 'copy']]*2, + casting='same_kind') + assert_equal(i.dtypes[0], np.dtype('f8')) + assert_equal(i.dtypes[1], np.dtype('f8')) + i = nditer([array([3], dtype='u4'), array(0, dtype='i4')], + ['common_dtype'], + [['readonly', 'copy']]*2, + casting='safe') + assert_equal(i.dtypes[0], np.dtype('i8')) + assert_equal(i.dtypes[1], np.dtype('i8')) + i = nditer([array([3], dtype='u4'), array(-12, dtype='i4')], + ['common_dtype'], + [['readonly', 'copy']]*2, + casting='safe') + assert_equal(i.dtypes[0], np.dtype('i8')) + assert_equal(i.dtypes[1], np.dtype('i8')) + i = nditer([array([3], dtype='u4'), array(-12, dtype='i4'), + array([2j], dtype='c8'), array([9], dtype='f8')], + ['common_dtype'], + [['readonly', 'copy']]*4, + casting='safe') + assert_equal(i.dtypes[0], np.dtype('c16')) + assert_equal(i.dtypes[1], np.dtype('c16')) + assert_equal(i.dtypes[2], np.dtype('c16')) + assert_equal(i.dtypes[3], np.dtype('c16')) + assert_equal(i.value, (3, -12, 2j, 9)) + + # When allocating outputs, other outputs aren't factored in + i = nditer([array([3], dtype='i4'), None, array([2j], dtype='c16')], [], + [['readonly', 'copy'], + ['writeonly', 'allocate'], + ['writeonly']], + casting='safe') + assert_equal(i.dtypes[0], np.dtype('i4')) + assert_equal(i.dtypes[1], np.dtype('i4')) + assert_equal(i.dtypes[2], np.dtype('c16')) + # But, if common data types are requested, they are + i = nditer([array([3], dtype='i4'), None, array([2j], dtype='c16')], + ['common_dtype'], + [['readonly', 'copy'], + ['writeonly', 'allocate'], + ['writeonly']], + casting='safe') + assert_equal(i.dtypes[0], np.dtype('c16')) + assert_equal(i.dtypes[1], np.dtype('c16')) + assert_equal(i.dtypes[2], np.dtype('c16')) + +def test_iter_copy_if_overlap(): + # Ensure the iterator makes copies on read/write overlap, if requested + + # Copy not needed, 1 op + for flag in ['readonly', 'writeonly', 'readwrite']: + a = arange(10) + i = nditer([a], ['copy_if_overlap'], [[flag]]) + with i: + assert_(i.operands[0] is a) + + # Copy needed, 2 ops, read-write overlap + x = arange(10) + a = x[1:] + b = x[:-1] + with nditer([a, b], ['copy_if_overlap'], [['readonly'], ['readwrite']]) as i: + assert_(not np.shares_memory(*i.operands)) + + # Copy not needed with elementwise, 2 ops, exactly same arrays + x = arange(10) + a = x + b = x + i = nditer([a, b], ['copy_if_overlap'], [['readonly', 'overlap_assume_elementwise'], + ['readwrite', 'overlap_assume_elementwise']]) + with i: + assert_(i.operands[0] is a and i.operands[1] is b) + with nditer([a, b], ['copy_if_overlap'], [['readonly'], ['readwrite']]) as i: + assert_(i.operands[0] is a and not np.shares_memory(i.operands[1], b)) + + # Copy not needed, 2 ops, no overlap + x = arange(10) + a = x[::2] + b = x[1::2] + i = nditer([a, b], ['copy_if_overlap'], [['readonly'], ['writeonly']]) + assert_(i.operands[0] is a and i.operands[1] is b) + + # Copy needed, 2 ops, read-write overlap + x = arange(4, dtype=np.int8) + a = x[3:] + b = x.view(np.int32)[:1] + with nditer([a, b], ['copy_if_overlap'], [['readonly'], ['writeonly']]) as i: + assert_(not np.shares_memory(*i.operands)) + + # Copy needed, 3 ops, read-write overlap + for flag in ['writeonly', 'readwrite']: + x = np.ones([10, 10]) + a = x + b = x.T + c = x + with nditer([a, b, c], ['copy_if_overlap'], + [['readonly'], ['readonly'], [flag]]) as i: + a2, b2, c2 = i.operands + assert_(not np.shares_memory(a2, c2)) + assert_(not np.shares_memory(b2, c2)) + + # Copy not needed, 3 ops, read-only overlap + x = np.ones([10, 10]) + a = x + b = x.T + c = x + i = nditer([a, b, c], ['copy_if_overlap'], + [['readonly'], ['readonly'], ['readonly']]) + a2, b2, c2 = i.operands + assert_(a is a2) + assert_(b is b2) + assert_(c is c2) + + # Copy not needed, 3 ops, read-only overlap + x = np.ones([10, 10]) + a = x + b = np.ones([10, 10]) + c = x.T + i = nditer([a, b, c], ['copy_if_overlap'], + [['readonly'], ['writeonly'], ['readonly']]) + a2, b2, c2 = i.operands + assert_(a is a2) + assert_(b is b2) + assert_(c is c2) + + # Copy not needed, 3 ops, write-only overlap + x = np.arange(7) + a = x[:3] + b = x[3:6] + c = x[4:7] + i = nditer([a, b, c], ['copy_if_overlap'], + [['readonly'], ['writeonly'], ['writeonly']]) + a2, b2, c2 = i.operands + assert_(a is a2) + assert_(b is b2) + assert_(c is c2) + +def test_iter_op_axes(): + # Check that custom axes work + + # Reverse the axes + a = arange(6).reshape(2, 3) + i = nditer([a, a.T], [], [['readonly']]*2, op_axes=[[0, 1], [1, 0]]) + assert_(all([x == y for (x, y) in i])) + a = arange(24).reshape(2, 3, 4) + i = nditer([a.T, a], [], [['readonly']]*2, op_axes=[[2, 1, 0], None]) + assert_(all([x == y for (x, y) in i])) + + # Broadcast 1D to any dimension + a = arange(1, 31).reshape(2, 3, 5) + b = arange(1, 3) + i = nditer([a, b], [], [['readonly']]*2, op_axes=[None, [0, -1, -1]]) + assert_equal([x*y for (x, y) in i], (a*b.reshape(2, 1, 1)).ravel()) + b = arange(1, 4) + i = nditer([a, b], [], [['readonly']]*2, op_axes=[None, [-1, 0, -1]]) + assert_equal([x*y for (x, y) in i], (a*b.reshape(1, 3, 1)).ravel()) + b = arange(1, 6) + i = nditer([a, b], [], [['readonly']]*2, + op_axes=[None, [np.newaxis, np.newaxis, 0]]) + assert_equal([x*y for (x, y) in i], (a*b.reshape(1, 1, 5)).ravel()) + + # Inner product-style broadcasting + a = arange(24).reshape(2, 3, 4) + b = arange(40).reshape(5, 2, 4) + i = nditer([a, b], ['multi_index'], [['readonly']]*2, + op_axes=[[0, 1, -1, -1], [-1, -1, 0, 1]]) + assert_equal(i.shape, (2, 3, 5, 2)) + + # Matrix product-style broadcasting + a = arange(12).reshape(3, 4) + b = arange(20).reshape(4, 5) + i = nditer([a, b], ['multi_index'], [['readonly']]*2, + op_axes=[[0, -1], [-1, 1]]) + assert_equal(i.shape, (3, 5)) + +def test_iter_op_axes_errors(): + # Check that custom axes throws errors for bad inputs + + # Wrong number of items in op_axes + a = arange(6).reshape(2, 3) + assert_raises(ValueError, nditer, [a, a], [], [['readonly']]*2, + op_axes=[[0], [1], [0]]) + # Out of bounds items in op_axes + assert_raises(ValueError, nditer, [a, a], [], [['readonly']]*2, + op_axes=[[2, 1], [0, 1]]) + assert_raises(ValueError, nditer, [a, a], [], [['readonly']]*2, + op_axes=[[0, 1], [2, -1]]) + # Duplicate items in op_axes + assert_raises(ValueError, nditer, [a, a], [], [['readonly']]*2, + op_axes=[[0, 0], [0, 1]]) + assert_raises(ValueError, nditer, [a, a], [], [['readonly']]*2, + op_axes=[[0, 1], [1, 1]]) + + # Different sized arrays in op_axes + assert_raises(ValueError, nditer, [a, a], [], [['readonly']]*2, + op_axes=[[0, 1], [0, 1, 0]]) + + # Non-broadcastable dimensions in the result + assert_raises(ValueError, nditer, [a, a], [], [['readonly']]*2, + op_axes=[[0, 1], [1, 0]]) + +def test_iter_copy(): + # Check that copying the iterator works correctly + a = arange(24).reshape(2, 3, 4) + + # Simple iterator + i = nditer(a) + j = i.copy() + assert_equal([x[()] for x in i], [x[()] for x in j]) + + i.iterindex = 3 + j = i.copy() + assert_equal([x[()] for x in i], [x[()] for x in j]) + + # Buffered iterator + i = nditer(a, ['buffered', 'ranged'], order='F', buffersize=3) + j = i.copy() + assert_equal([x[()] for x in i], [x[()] for x in j]) + + i.iterindex = 3 + j = i.copy() + assert_equal([x[()] for x in i], [x[()] for x in j]) + + i.iterrange = (3, 9) + j = i.copy() + assert_equal([x[()] for x in i], [x[()] for x in j]) + + i.iterrange = (2, 18) + next(i) + next(i) + j = i.copy() + assert_equal([x[()] for x in i], [x[()] for x in j]) + + # Casting iterator + with nditer(a, ['buffered'], order='F', casting='unsafe', + op_dtypes='f8', buffersize=5) as i: + j = i.copy() + assert_equal([x[()] for x in j], a.ravel(order='F')) + + a = arange(24, dtype=' unstructured (any to object), and many other + # casts, which cause this to require all steps in the casting machinery + # one level down as well as the iterator copy (which uses NpyAuxData clone) + in_dtype = np.dtype([("a", np.dtype("i,")), + ("b", np.dtype(">i,d,S17,>d,3f,O,i1"))]) + out_dtype = np.dtype([("a", np.dtype("O")), + ("b", np.dtype(">i,>i,S17,>d,>U3,3d,i1,O"))]) + arr = np.ones(1000, dtype=in_dtype) + + it = np.nditer((arr,), ["buffered", "external_loop", "refs_ok"], + op_dtypes=[out_dtype], casting="unsafe") + it_copy = it.copy() + + res1 = next(it) + del it + res2 = next(it_copy) + del it_copy + + expected = arr["a"].astype(out_dtype["a"]) + assert_array_equal(res1["a"], expected) + assert_array_equal(res2["a"], expected) + + for field in in_dtype["b"].names: + # Note that the .base avoids the subarray field + expected = arr["b"][field].astype(out_dtype["b"][field].base) + assert_array_equal(res1["b"][field], expected) + assert_array_equal(res2["b"][field], expected) + + +def test_iter_copy_casts_structured2(): + # Similar to the above, this is a fairly arcane test to cover internals + in_dtype = np.dtype([("a", np.dtype("O,O")), + ("b", np.dtype("5O,3O,(1,)O,(1,)i,(1,)O"))]) + out_dtype = np.dtype([("a", np.dtype("O")), + ("b", np.dtype("O,3i,4O,4O,4i"))]) + + arr = np.ones(1, dtype=in_dtype) + it = np.nditer((arr,), ["buffered", "external_loop", "refs_ok"], + op_dtypes=[out_dtype], casting="unsafe") + it_copy = it.copy() + + res1 = next(it) + del it + res2 = next(it_copy) + del it_copy + + # Array of two structured scalars: + for res in res1, res2: + # Cast to tuple by getitem, which may be weird and changeable?: + assert type(res["a"][0]) == tuple + assert res["a"][0] == (1, 1) + + for res in res1, res2: + assert_array_equal(res["b"]["f0"][0], np.ones(5, dtype=object)) + assert_array_equal(res["b"]["f1"], np.ones((1, 3), dtype="i")) + assert res["b"]["f2"].shape == (1, 4) + assert_array_equal(res["b"]["f2"][0], np.ones(4, dtype=object)) + assert_array_equal(res["b"]["f3"][0], np.ones(4, dtype=object)) + assert_array_equal(res["b"]["f3"][0], np.ones(4, dtype="i")) + + +def test_iter_allocate_output_simple(): + # Check that the iterator will properly allocate outputs + + # Simple case + a = arange(6) + i = nditer([a, None], [], [['readonly'], ['writeonly', 'allocate']], + op_dtypes=[None, np.dtype('f4')]) + assert_equal(i.operands[1].shape, a.shape) + assert_equal(i.operands[1].dtype, np.dtype('f4')) + +def test_iter_allocate_output_buffered_readwrite(): + # Allocated output with buffering + delay_bufalloc + + a = arange(6) + i = nditer([a, None], ['buffered', 'delay_bufalloc'], + [['readonly'], ['allocate', 'readwrite']]) + with i: + i.operands[1][:] = 1 + i.reset() + for x in i: + x[1][...] += x[0][...] + assert_equal(i.operands[1], a+1) + +def test_iter_allocate_output_itorder(): + # The allocated output should match the iteration order + + # C-order input, best iteration order + a = arange(6, dtype='i4').reshape(2, 3) + i = nditer([a, None], [], [['readonly'], ['writeonly', 'allocate']], + op_dtypes=[None, np.dtype('f4')]) + assert_equal(i.operands[1].shape, a.shape) + assert_equal(i.operands[1].strides, a.strides) + assert_equal(i.operands[1].dtype, np.dtype('f4')) + # F-order input, best iteration order + a = arange(24, dtype='i4').reshape(2, 3, 4).T + i = nditer([a, None], [], [['readonly'], ['writeonly', 'allocate']], + op_dtypes=[None, np.dtype('f4')]) + assert_equal(i.operands[1].shape, a.shape) + assert_equal(i.operands[1].strides, a.strides) + assert_equal(i.operands[1].dtype, np.dtype('f4')) + # Non-contiguous input, C iteration order + a = arange(24, dtype='i4').reshape(2, 3, 4).swapaxes(0, 1) + i = nditer([a, None], [], + [['readonly'], ['writeonly', 'allocate']], + order='C', + op_dtypes=[None, np.dtype('f4')]) + assert_equal(i.operands[1].shape, a.shape) + assert_equal(i.operands[1].strides, (32, 16, 4)) + assert_equal(i.operands[1].dtype, np.dtype('f4')) + +def test_iter_allocate_output_opaxes(): + # Specifying op_axes should work + + a = arange(24, dtype='i4').reshape(2, 3, 4) + i = nditer([None, a], [], [['writeonly', 'allocate'], ['readonly']], + op_dtypes=[np.dtype('u4'), None], + op_axes=[[1, 2, 0], None]) + assert_equal(i.operands[0].shape, (4, 2, 3)) + assert_equal(i.operands[0].strides, (4, 48, 16)) + assert_equal(i.operands[0].dtype, np.dtype('u4')) + +def test_iter_allocate_output_types_promotion(): + # Check type promotion of automatic outputs (this was more interesting + # before NEP 50...) + + i = nditer([array([3], dtype='f4'), array([0], dtype='f8'), None], [], + [['readonly']]*2+[['writeonly', 'allocate']]) + assert_equal(i.dtypes[2], np.dtype('f8')) + i = nditer([array([3], dtype='i4'), array([0], dtype='f4'), None], [], + [['readonly']]*2+[['writeonly', 'allocate']]) + assert_equal(i.dtypes[2], np.dtype('f8')) + i = nditer([array([3], dtype='f4'), array(0, dtype='f8'), None], [], + [['readonly']]*2+[['writeonly', 'allocate']]) + assert_equal(i.dtypes[2], np.dtype('f8')) + i = nditer([array([3], dtype='u4'), array(0, dtype='i4'), None], [], + [['readonly']]*2+[['writeonly', 'allocate']]) + assert_equal(i.dtypes[2], np.dtype('i8')) + i = nditer([array([3], dtype='u4'), array(-12, dtype='i4'), None], [], + [['readonly']]*2+[['writeonly', 'allocate']]) + assert_equal(i.dtypes[2], np.dtype('i8')) + +def test_iter_allocate_output_types_byte_order(): + # Verify the rules for byte order changes + + # When there's just one input, the output type exactly matches + a = array([3], dtype='u4') + a = a.view(a.dtype.newbyteorder()) + i = nditer([a, None], [], + [['readonly'], ['writeonly', 'allocate']]) + assert_equal(i.dtypes[0], i.dtypes[1]) + # With two or more inputs, the output type is in native byte order + i = nditer([a, a, None], [], + [['readonly'], ['readonly'], ['writeonly', 'allocate']]) + assert_(i.dtypes[0] != i.dtypes[2]) + assert_equal(i.dtypes[0].newbyteorder('='), i.dtypes[2]) + +def test_iter_allocate_output_types_scalar(): + # If the inputs are all scalars, the output should be a scalar + + i = nditer([None, 1, 2.3, np.float32(12), np.complex128(3)], [], + [['writeonly', 'allocate']] + [['readonly']]*4) + assert_equal(i.operands[0].dtype, np.dtype('complex128')) + assert_equal(i.operands[0].ndim, 0) + +def test_iter_allocate_output_subtype(): + # Make sure that the subtype with priority wins + class MyNDArray(np.ndarray): + __array_priority__ = 15 + + # subclass vs ndarray + a = np.array([[1, 2], [3, 4]]).view(MyNDArray) + b = np.arange(4).reshape(2, 2).T + i = nditer([a, b, None], [], + [['readonly'], ['readonly'], ['writeonly', 'allocate']]) + assert_equal(type(a), type(i.operands[2])) + assert_(type(b) is not type(i.operands[2])) + assert_equal(i.operands[2].shape, (2, 2)) + + # If subtypes are disabled, we should get back an ndarray. + i = nditer([a, b, None], [], + [['readonly'], ['readonly'], + ['writeonly', 'allocate', 'no_subtype']]) + assert_equal(type(b), type(i.operands[2])) + assert_(type(a) is not type(i.operands[2])) + assert_equal(i.operands[2].shape, (2, 2)) + +def test_iter_allocate_output_errors(): + # Check that the iterator will throw errors for bad output allocations + + # Need an input if no output data type is specified + a = arange(6) + assert_raises(TypeError, nditer, [a, None], [], + [['writeonly'], ['writeonly', 'allocate']]) + # Allocated output should be flagged for writing + assert_raises(ValueError, nditer, [a, None], [], + [['readonly'], ['allocate', 'readonly']]) + # Allocated output can't have buffering without delayed bufalloc + assert_raises(ValueError, nditer, [a, None], ['buffered'], + ['allocate', 'readwrite']) + # Must specify dtype if there are no inputs (cannot promote existing ones; + # maybe this should use the 'f4' here, but it does not historically.) + assert_raises(TypeError, nditer, [None, None], [], + [['writeonly', 'allocate'], + ['writeonly', 'allocate']], + op_dtypes=[None, np.dtype('f4')]) + # If using op_axes, must specify all the axes + a = arange(24, dtype='i4').reshape(2, 3, 4) + assert_raises(ValueError, nditer, [a, None], [], + [['readonly'], ['writeonly', 'allocate']], + op_dtypes=[None, np.dtype('f4')], + op_axes=[None, [0, np.newaxis, 1]]) + # If using op_axes, the axes must be within bounds + assert_raises(ValueError, nditer, [a, None], [], + [['readonly'], ['writeonly', 'allocate']], + op_dtypes=[None, np.dtype('f4')], + op_axes=[None, [0, 3, 1]]) + # If using op_axes, there can't be duplicates + assert_raises(ValueError, nditer, [a, None], [], + [['readonly'], ['writeonly', 'allocate']], + op_dtypes=[None, np.dtype('f4')], + op_axes=[None, [0, 2, 1, 0]]) + # Not all axes may be specified if a reduction. If there is a hole + # in op_axes, this is an error. + a = arange(24, dtype='i4').reshape(2, 3, 4) + assert_raises(ValueError, nditer, [a, None], ["reduce_ok"], + [['readonly'], ['readwrite', 'allocate']], + op_dtypes=[None, np.dtype('f4')], + op_axes=[None, [0, np.newaxis, 2]]) + +def test_all_allocated(): + # When no output and no shape is given, `()` is used as shape. + i = np.nditer([None], op_dtypes=["int64"]) + assert i.operands[0].shape == () + assert i.dtypes == (np.dtype("int64"),) + + i = np.nditer([None], op_dtypes=["int64"], itershape=(2, 3, 4)) + assert i.operands[0].shape == (2, 3, 4) + +def test_iter_remove_axis(): + a = arange(24).reshape(2, 3, 4) + + i = nditer(a, ['multi_index']) + i.remove_axis(1) + assert_equal(list(i), a[:, 0, :].ravel()) + + a = a[::-1, :, :] + i = nditer(a, ['multi_index']) + i.remove_axis(0) + assert_equal(list(i), a[0, :, :].ravel()) + +def test_iter_remove_multi_index_inner_loop(): + # Check that removing multi-index support works + + a = arange(24).reshape(2, 3, 4) + + i = nditer(a, ['multi_index']) + assert_equal(i.ndim, 3) + assert_equal(i.shape, (2, 3, 4)) + assert_equal(i.itviews[0].shape, (2, 3, 4)) + + # Removing the multi-index tracking causes all dimensions to coalesce + before = list(i) + i.remove_multi_index() + after = list(i) + + assert_equal(before, after) + assert_equal(i.ndim, 1) + assert_raises(ValueError, lambda i: i.shape, i) + assert_equal(i.itviews[0].shape, (24,)) + + # Removing the inner loop means there's just one iteration + i.reset() + assert_equal(i.itersize, 24) + assert_equal(i[0].shape, tuple()) + i.enable_external_loop() + assert_equal(i.itersize, 24) + assert_equal(i[0].shape, (24,)) + assert_equal(i.value, arange(24)) + +def test_iter_iterindex(): + # Make sure iterindex works + + buffersize = 5 + a = arange(24).reshape(4, 3, 2) + for flags in ([], ['buffered']): + i = nditer(a, flags, buffersize=buffersize) + assert_equal(iter_iterindices(i), list(range(24))) + i.iterindex = 2 + assert_equal(iter_iterindices(i), list(range(2, 24))) + + i = nditer(a, flags, order='F', buffersize=buffersize) + assert_equal(iter_iterindices(i), list(range(24))) + i.iterindex = 5 + assert_equal(iter_iterindices(i), list(range(5, 24))) + + i = nditer(a[::-1], flags, order='F', buffersize=buffersize) + assert_equal(iter_iterindices(i), list(range(24))) + i.iterindex = 9 + assert_equal(iter_iterindices(i), list(range(9, 24))) + + i = nditer(a[::-1, ::-1], flags, order='C', buffersize=buffersize) + assert_equal(iter_iterindices(i), list(range(24))) + i.iterindex = 13 + assert_equal(iter_iterindices(i), list(range(13, 24))) + + i = nditer(a[::1, ::-1], flags, buffersize=buffersize) + assert_equal(iter_iterindices(i), list(range(24))) + i.iterindex = 23 + assert_equal(iter_iterindices(i), list(range(23, 24))) + i.reset() + i.iterindex = 2 + assert_equal(iter_iterindices(i), list(range(2, 24))) + +def test_iter_iterrange(): + # Make sure getting and resetting the iterrange works + + buffersize = 5 + a = arange(24, dtype='i4').reshape(4, 3, 2) + a_fort = a.ravel(order='F') + + i = nditer(a, ['ranged'], ['readonly'], order='F', + buffersize=buffersize) + assert_equal(i.iterrange, (0, 24)) + assert_equal([x[()] for x in i], a_fort) + for r in [(0, 24), (1, 2), (3, 24), (5, 5), (0, 20), (23, 24)]: + i.iterrange = r + assert_equal(i.iterrange, r) + assert_equal([x[()] for x in i], a_fort[r[0]:r[1]]) + + i = nditer(a, ['ranged', 'buffered'], ['readonly'], order='F', + op_dtypes='f8', buffersize=buffersize) + assert_equal(i.iterrange, (0, 24)) + assert_equal([x[()] for x in i], a_fort) + for r in [(0, 24), (1, 2), (3, 24), (5, 5), (0, 20), (23, 24)]: + i.iterrange = r + assert_equal(i.iterrange, r) + assert_equal([x[()] for x in i], a_fort[r[0]:r[1]]) + + def get_array(i): + val = np.array([], dtype='f8') + for x in i: + val = np.concatenate((val, x)) + return val + + i = nditer(a, ['ranged', 'buffered', 'external_loop'], + ['readonly'], order='F', + op_dtypes='f8', buffersize=buffersize) + assert_equal(i.iterrange, (0, 24)) + assert_equal(get_array(i), a_fort) + for r in [(0, 24), (1, 2), (3, 24), (5, 5), (0, 20), (23, 24)]: + i.iterrange = r + assert_equal(i.iterrange, r) + assert_equal(get_array(i), a_fort[r[0]:r[1]]) + +def test_iter_buffering(): + # Test buffering with several buffer sizes and types + arrays = [] + # F-order swapped array + _tmp = np.arange(24, dtype='c16').reshape(2, 3, 4).T + _tmp = _tmp.view(_tmp.dtype.newbyteorder()).byteswap() + arrays.append(_tmp) + # Contiguous 1-dimensional array + arrays.append(np.arange(10, dtype='f4')) + # Unaligned array + a = np.zeros((4*16+1,), dtype='i1')[1:] + a.dtype = 'i4' + a[:] = np.arange(16, dtype='i4') + arrays.append(a) + # 4-D F-order array + arrays.append(np.arange(120, dtype='i4').reshape(5, 3, 2, 4).T) + for a in arrays: + for buffersize in (1, 2, 3, 5, 8, 11, 16, 1024): + vals = [] + i = nditer(a, ['buffered', 'external_loop'], + [['readonly', 'nbo', 'aligned']], + order='C', + casting='equiv', + buffersize=buffersize) + while not i.finished: + assert_(i[0].size <= buffersize) + vals.append(i[0].copy()) + i.iternext() + assert_equal(np.concatenate(vals), a.ravel(order='C')) + +def test_iter_write_buffering(): + # Test that buffering of writes is working + + # F-order swapped array + a = np.arange(24).reshape(2, 3, 4).T + a = a.view(a.dtype.newbyteorder()).byteswap() + i = nditer(a, ['buffered'], + [['readwrite', 'nbo', 'aligned']], + casting='equiv', + order='C', + buffersize=16) + x = 0 + with i: + while not i.finished: + i[0] = x + x += 1 + i.iternext() + assert_equal(a.ravel(order='C'), np.arange(24)) + +def test_iter_buffering_delayed_alloc(): + # Test that delaying buffer allocation works + + a = np.arange(6) + b = np.arange(1, dtype='f4') + i = nditer([a, b], ['buffered', 'delay_bufalloc', 'multi_index', 'reduce_ok'], + ['readwrite'], + casting='unsafe', + op_dtypes='f4') + assert_(i.has_delayed_bufalloc) + assert_raises(ValueError, lambda i: i.multi_index, i) + assert_raises(ValueError, lambda i: i[0], i) + assert_raises(ValueError, lambda i: i[0:2], i) + + def assign_iter(i): + i[0] = 0 + assert_raises(ValueError, assign_iter, i) + + i.reset() + assert_(not i.has_delayed_bufalloc) + assert_equal(i.multi_index, (0,)) + with i: + assert_equal(i[0], 0) + i[1] = 1 + assert_equal(i[0:2], [0, 1]) + assert_equal([[x[0][()], x[1][()]] for x in i], list(zip(range(6), [1]*6))) + +def test_iter_buffered_cast_simple(): + # Test that buffering can handle a simple cast + + a = np.arange(10, dtype='f4') + i = nditer(a, ['buffered', 'external_loop'], + [['readwrite', 'nbo', 'aligned']], + casting='same_kind', + op_dtypes=[np.dtype('f8')], + buffersize=3) + with i: + for v in i: + v[...] *= 2 + + assert_equal(a, 2*np.arange(10, dtype='f4')) + +def test_iter_buffered_cast_byteswapped(): + # Test that buffering can handle a cast which requires swap->cast->swap + + a = np.arange(10, dtype='f4') + a = a.view(a.dtype.newbyteorder()).byteswap() + i = nditer(a, ['buffered', 'external_loop'], + [['readwrite', 'nbo', 'aligned']], + casting='same_kind', + op_dtypes=[np.dtype('f8').newbyteorder()], + buffersize=3) + with i: + for v in i: + v[...] *= 2 + + assert_equal(a, 2*np.arange(10, dtype='f4')) + + with suppress_warnings() as sup: + sup.filter(np.exceptions.ComplexWarning) + + a = np.arange(10, dtype='f8') + a = a.view(a.dtype.newbyteorder()).byteswap() + i = nditer(a, ['buffered', 'external_loop'], + [['readwrite', 'nbo', 'aligned']], + casting='unsafe', + op_dtypes=[np.dtype('c8').newbyteorder()], + buffersize=3) + with i: + for v in i: + v[...] *= 2 + + assert_equal(a, 2*np.arange(10, dtype='f8')) + +def test_iter_buffered_cast_byteswapped_complex(): + # Test that buffering can handle a cast which requires swap->cast->copy + + a = np.arange(10, dtype='c8') + a = a.view(a.dtype.newbyteorder()).byteswap() + a += 2j + i = nditer(a, ['buffered', 'external_loop'], + [['readwrite', 'nbo', 'aligned']], + casting='same_kind', + op_dtypes=[np.dtype('c16')], + buffersize=3) + with i: + for v in i: + v[...] *= 2 + assert_equal(a, 2*np.arange(10, dtype='c8') + 4j) + + a = np.arange(10, dtype='c8') + a += 2j + i = nditer(a, ['buffered', 'external_loop'], + [['readwrite', 'nbo', 'aligned']], + casting='same_kind', + op_dtypes=[np.dtype('c16').newbyteorder()], + buffersize=3) + with i: + for v in i: + v[...] *= 2 + assert_equal(a, 2*np.arange(10, dtype='c8') + 4j) + + a = np.arange(10, dtype=np.clongdouble) + a = a.view(a.dtype.newbyteorder()).byteswap() + a += 2j + i = nditer(a, ['buffered', 'external_loop'], + [['readwrite', 'nbo', 'aligned']], + casting='same_kind', + op_dtypes=[np.dtype('c16')], + buffersize=3) + with i: + for v in i: + v[...] *= 2 + assert_equal(a, 2*np.arange(10, dtype=np.clongdouble) + 4j) + + a = np.arange(10, dtype=np.longdouble) + a = a.view(a.dtype.newbyteorder()).byteswap() + i = nditer(a, ['buffered', 'external_loop'], + [['readwrite', 'nbo', 'aligned']], + casting='same_kind', + op_dtypes=[np.dtype('f4')], + buffersize=7) + with i: + for v in i: + v[...] *= 2 + assert_equal(a, 2*np.arange(10, dtype=np.longdouble)) + +def test_iter_buffered_cast_structured_type(): + # Tests buffering of structured types + + # simple -> struct type (duplicates the value) + sdt = [('a', 'f4'), ('b', 'i8'), ('c', 'c8', (2, 3)), ('d', 'O')] + a = np.arange(3, dtype='f4') + 0.5 + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt) + vals = [np.array(x) for x in i] + assert_equal(vals[0]['a'], 0.5) + assert_equal(vals[0]['b'], 0) + assert_equal(vals[0]['c'], [[(0.5)]*3]*2) + assert_equal(vals[0]['d'], 0.5) + assert_equal(vals[1]['a'], 1.5) + assert_equal(vals[1]['b'], 1) + assert_equal(vals[1]['c'], [[(1.5)]*3]*2) + assert_equal(vals[1]['d'], 1.5) + assert_equal(vals[0].dtype, np.dtype(sdt)) + + # object -> struct type + sdt = [('a', 'f4'), ('b', 'i8'), ('c', 'c8', (2, 3)), ('d', 'O')] + a = np.zeros((3,), dtype='O') + a[0] = (0.5, 0.5, [[0.5, 0.5, 0.5], [0.5, 0.5, 0.5]], 0.5) + a[1] = (1.5, 1.5, [[1.5, 1.5, 1.5], [1.5, 1.5, 1.5]], 1.5) + a[2] = (2.5, 2.5, [[2.5, 2.5, 2.5], [2.5, 2.5, 2.5]], 2.5) + if HAS_REFCOUNT: + rc = sys.getrefcount(a[0]) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt) + vals = [x.copy() for x in i] + assert_equal(vals[0]['a'], 0.5) + assert_equal(vals[0]['b'], 0) + assert_equal(vals[0]['c'], [[(0.5)]*3]*2) + assert_equal(vals[0]['d'], 0.5) + assert_equal(vals[1]['a'], 1.5) + assert_equal(vals[1]['b'], 1) + assert_equal(vals[1]['c'], [[(1.5)]*3]*2) + assert_equal(vals[1]['d'], 1.5) + assert_equal(vals[0].dtype, np.dtype(sdt)) + vals, i, x = [None]*3 + if HAS_REFCOUNT: + assert_equal(sys.getrefcount(a[0]), rc) + + # single-field struct type -> simple + sdt = [('a', 'f4')] + a = np.array([(5.5,), (8,)], dtype=sdt) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes='i4') + assert_equal([x_[()] for x_ in i], [5, 8]) + + # make sure multi-field struct type -> simple doesn't work + sdt = [('a', 'f4'), ('b', 'i8'), ('d', 'O')] + a = np.array([(5.5, 7, 'test'), (8, 10, 11)], dtype=sdt) + assert_raises(TypeError, lambda: ( + nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes='i4'))) + + # struct type -> struct type (field-wise copy) + sdt1 = [('a', 'f4'), ('b', 'i8'), ('d', 'O')] + sdt2 = [('d', 'u2'), ('a', 'O'), ('b', 'f8')] + a = np.array([(1, 2, 3), (4, 5, 6)], dtype=sdt1) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + assert_equal([np.array(x_) for x_ in i], + [np.array((1, 2, 3), dtype=sdt2), + np.array((4, 5, 6), dtype=sdt2)]) + + +def test_iter_buffered_cast_structured_type_failure_with_cleanup(): + # make sure struct type -> struct type with different + # number of fields fails + sdt1 = [('a', 'f4'), ('b', 'i8'), ('d', 'O')] + sdt2 = [('b', 'O'), ('a', 'f8')] + a = np.array([(1, 2, 3), (4, 5, 6)], dtype=sdt1) + + for intent in ["readwrite", "readonly", "writeonly"]: + # This test was initially designed to test an error at a different + # place, but will now raise earlier to to the cast not being possible: + # `assert np.can_cast(a.dtype, sdt2, casting="unsafe")` fails. + # Without a faulty DType, there is probably no reliable + # way to get the initial tested behaviour. + simple_arr = np.array([1, 2], dtype="i,i") # requires clean up + with pytest.raises(TypeError): + nditer((simple_arr, a), ['buffered', 'refs_ok'], [intent, intent], + casting='unsafe', op_dtypes=["f,f", sdt2]) + + +def test_buffered_cast_error_paths(): + with pytest.raises(ValueError): + # The input is cast into an `S3` buffer + np.nditer((np.array("a", dtype="S1"),), op_dtypes=["i"], + casting="unsafe", flags=["buffered"]) + + # The `M8[ns]` is cast into the `S3` output + it = np.nditer((np.array(1, dtype="i"),), op_dtypes=["S1"], + op_flags=["writeonly"], casting="unsafe", flags=["buffered"]) + with pytest.raises(ValueError): + with it: + buf = next(it) + buf[...] = "a" # cannot be converted to int. + +@pytest.mark.skipif(IS_WASM, reason="Cannot start subprocess") +@pytest.mark.skipif(not HAS_REFCOUNT, reason="PyPy seems to not hit this.") +def test_buffered_cast_error_paths_unraisable(): + # The following gives an unraisable error. Pytest sometimes captures that + # (depending python and/or pytest version). So with Python>=3.8 this can + # probably be cleaned out in the future to check for + # pytest.PytestUnraisableExceptionWarning: + code = textwrap.dedent(""" + import numpy as np + + it = np.nditer((np.array(1, dtype="i"),), op_dtypes=["S1"], + op_flags=["writeonly"], casting="unsafe", flags=["buffered"]) + buf = next(it) + buf[...] = "a" + del buf, it # Flushing only happens during deallocate right now. + """) + res = subprocess.check_output([sys.executable, "-c", code], + stderr=subprocess.STDOUT, text=True) + assert "ValueError" in res + + +def test_iter_buffered_cast_subarray(): + # Tests buffering of subarrays + + # one element -> many (copies it to all) + sdt1 = [('a', 'f4')] + sdt2 = [('a', 'f8', (3, 2, 2))] + a = np.zeros((6,), dtype=sdt1) + a['a'] = np.arange(6) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + for x, count in zip(i, list(range(6))): + assert_(np.all(x['a'] == count)) + + # one element -> many -> back (copies it to all) + sdt1 = [('a', 'O', (1, 1))] + sdt2 = [('a', 'O', (3, 2, 2))] + a = np.zeros((6,), dtype=sdt1) + a['a'][:, 0, 0] = np.arange(6) + i = nditer(a, ['buffered', 'refs_ok'], ['readwrite'], + casting='unsafe', + op_dtypes=sdt2) + with i: + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_(np.all(x['a'] == count)) + x['a'][0] += 2 + count += 1 + assert_equal(a['a'], np.arange(6).reshape(6, 1, 1)+2) + + # many -> one element -> back (copies just element 0) + sdt1 = [('a', 'O', (3, 2, 2))] + sdt2 = [('a', 'O', (1,))] + a = np.zeros((6,), dtype=sdt1) + a['a'][:, 0, 0, 0] = np.arange(6) + i = nditer(a, ['buffered', 'refs_ok'], ['readwrite'], + casting='unsafe', + op_dtypes=sdt2) + with i: + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'], count) + x['a'] += 2 + count += 1 + assert_equal(a['a'], np.arange(6).reshape(6, 1, 1, 1)*np.ones((1, 3, 2, 2))+2) + + # many -> one element -> back (copies just element 0) + sdt1 = [('a', 'f8', (3, 2, 2))] + sdt2 = [('a', 'O', (1,))] + a = np.zeros((6,), dtype=sdt1) + a['a'][:, 0, 0, 0] = np.arange(6) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'], count) + count += 1 + + # many -> one element (copies just element 0) + sdt1 = [('a', 'O', (3, 2, 2))] + sdt2 = [('a', 'f4', (1,))] + a = np.zeros((6,), dtype=sdt1) + a['a'][:, 0, 0, 0] = np.arange(6) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'], count) + count += 1 + + # many -> matching shape (straightforward copy) + sdt1 = [('a', 'O', (3, 2, 2))] + sdt2 = [('a', 'f4', (3, 2, 2))] + a = np.zeros((6,), dtype=sdt1) + a['a'] = np.arange(6*3*2*2).reshape(6, 3, 2, 2) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'], a[count]['a']) + count += 1 + + # vector -> smaller vector (truncates) + sdt1 = [('a', 'f8', (6,))] + sdt2 = [('a', 'f4', (2,))] + a = np.zeros((6,), dtype=sdt1) + a['a'] = np.arange(6*6).reshape(6, 6) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'], a[count]['a'][:2]) + count += 1 + + # vector -> bigger vector (pads with zeros) + sdt1 = [('a', 'f8', (2,))] + sdt2 = [('a', 'f4', (6,))] + a = np.zeros((6,), dtype=sdt1) + a['a'] = np.arange(6*2).reshape(6, 2) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'][:2], a[count]['a']) + assert_equal(x['a'][2:], [0, 0, 0, 0]) + count += 1 + + # vector -> matrix (broadcasts) + sdt1 = [('a', 'f8', (2,))] + sdt2 = [('a', 'f4', (2, 2))] + a = np.zeros((6,), dtype=sdt1) + a['a'] = np.arange(6*2).reshape(6, 2) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'][0], a[count]['a']) + assert_equal(x['a'][1], a[count]['a']) + count += 1 + + # vector -> matrix (broadcasts and zero-pads) + sdt1 = [('a', 'f8', (2, 1))] + sdt2 = [('a', 'f4', (3, 2))] + a = np.zeros((6,), dtype=sdt1) + a['a'] = np.arange(6*2).reshape(6, 2, 1) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'][:2, 0], a[count]['a'][:, 0]) + assert_equal(x['a'][:2, 1], a[count]['a'][:, 0]) + assert_equal(x['a'][2, :], [0, 0]) + count += 1 + + # matrix -> matrix (truncates and zero-pads) + sdt1 = [('a', 'f8', (2, 3))] + sdt2 = [('a', 'f4', (3, 2))] + a = np.zeros((6,), dtype=sdt1) + a['a'] = np.arange(6*2*3).reshape(6, 2, 3) + i = nditer(a, ['buffered', 'refs_ok'], ['readonly'], + casting='unsafe', + op_dtypes=sdt2) + assert_equal(i[0].dtype, np.dtype(sdt2)) + count = 0 + for x in i: + assert_equal(x['a'][:2, 0], a[count]['a'][:, 0]) + assert_equal(x['a'][:2, 1], a[count]['a'][:, 1]) + assert_equal(x['a'][2, :], [0, 0]) + count += 1 + +def test_iter_buffering_badwriteback(): + # Writing back from a buffer cannot combine elements + + # a needs write buffering, but had a broadcast dimension + a = np.arange(6).reshape(2, 3, 1) + b = np.arange(12).reshape(2, 3, 2) + assert_raises(ValueError, nditer, [a, b], + ['buffered', 'external_loop'], + [['readwrite'], ['writeonly']], + order='C') + + # But if a is readonly, it's fine + nditer([a, b], ['buffered', 'external_loop'], + [['readonly'], ['writeonly']], + order='C') + + # If a has just one element, it's fine too (constant 0 stride, a reduction) + a = np.arange(1).reshape(1, 1, 1) + nditer([a, b], ['buffered', 'external_loop', 'reduce_ok'], + [['readwrite'], ['writeonly']], + order='C') + + # check that it fails on other dimensions too + a = np.arange(6).reshape(1, 3, 2) + assert_raises(ValueError, nditer, [a, b], + ['buffered', 'external_loop'], + [['readwrite'], ['writeonly']], + order='C') + a = np.arange(4).reshape(2, 1, 2) + assert_raises(ValueError, nditer, [a, b], + ['buffered', 'external_loop'], + [['readwrite'], ['writeonly']], + order='C') + +def test_iter_buffering_string(): + # Safe casting disallows shrinking strings + a = np.array(['abc', 'a', 'abcd'], dtype=np.bytes_) + assert_equal(a.dtype, np.dtype('S4')) + assert_raises(TypeError, nditer, a, ['buffered'], ['readonly'], + op_dtypes='S2') + i = nditer(a, ['buffered'], ['readonly'], op_dtypes='S6') + assert_equal(i[0], b'abc') + assert_equal(i[0].dtype, np.dtype('S6')) + + a = np.array(['abc', 'a', 'abcd'], dtype=np.str_) + assert_equal(a.dtype, np.dtype('U4')) + assert_raises(TypeError, nditer, a, ['buffered'], ['readonly'], + op_dtypes='U2') + i = nditer(a, ['buffered'], ['readonly'], op_dtypes='U6') + assert_equal(i[0], 'abc') + assert_equal(i[0].dtype, np.dtype('U6')) + +def test_iter_buffering_growinner(): + # Test that the inner loop grows when no buffering is needed + a = np.arange(30) + i = nditer(a, ['buffered', 'growinner', 'external_loop'], + buffersize=5) + # Should end up with just one inner loop here + assert_equal(i[0].size, a.size) + + +@pytest.mark.slow +def test_iter_buffered_reduce_reuse(): + # large enough array for all views, including negative strides. + a = np.arange(2*3**5)[3**5:3**5+1] + flags = ['buffered', 'delay_bufalloc', 'multi_index', 'reduce_ok', 'refs_ok'] + op_flags = [('readonly',), ('readwrite', 'allocate')] + op_axes_list = [[(0, 1, 2), (0, 1, -1)], [(0, 1, 2), (0, -1, -1)]] + # wrong dtype to force buffering + op_dtypes = [float, a.dtype] + + def get_params(): + for xs in range(-3**2, 3**2 + 1): + for ys in range(xs, 3**2 + 1): + for op_axes in op_axes_list: + # last stride is reduced and because of that not + # important for this test, as it is the inner stride. + strides = (xs * a.itemsize, ys * a.itemsize, a.itemsize) + arr = np.lib.stride_tricks.as_strided(a, (3, 3, 3), strides) + + for skip in [0, 1]: + yield arr, op_axes, skip + + for arr, op_axes, skip in get_params(): + nditer2 = np.nditer([arr.copy(), None], + op_axes=op_axes, flags=flags, op_flags=op_flags, + op_dtypes=op_dtypes) + with nditer2: + nditer2.operands[-1][...] = 0 + nditer2.reset() + nditer2.iterindex = skip + + for (a2_in, b2_in) in nditer2: + b2_in += a2_in.astype(np.int_) + + comp_res = nditer2.operands[-1] + + for bufsize in range(0, 3**3): + nditer1 = np.nditer([arr, None], + op_axes=op_axes, flags=flags, op_flags=op_flags, + buffersize=bufsize, op_dtypes=op_dtypes) + with nditer1: + nditer1.operands[-1][...] = 0 + nditer1.reset() + nditer1.iterindex = skip + + for (a1_in, b1_in) in nditer1: + b1_in += a1_in.astype(np.int_) + + res = nditer1.operands[-1] + assert_array_equal(res, comp_res) + + +def test_iter_no_broadcast(): + # Test that the no_broadcast flag works + a = np.arange(24).reshape(2, 3, 4) + b = np.arange(6).reshape(2, 3, 1) + c = np.arange(12).reshape(3, 4) + + nditer([a, b, c], [], + [['readonly', 'no_broadcast'], + ['readonly'], ['readonly']]) + assert_raises(ValueError, nditer, [a, b, c], [], + [['readonly'], ['readonly', 'no_broadcast'], ['readonly']]) + assert_raises(ValueError, nditer, [a, b, c], [], + [['readonly'], ['readonly'], ['readonly', 'no_broadcast']]) + + +class TestIterNested: + + def test_basic(self): + # Test nested iteration basic usage + a = arange(12).reshape(2, 3, 2) + + i, j = np.nested_iters(a, [[0], [1, 2]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1, 2, 3, 4, 5], [6, 7, 8, 9, 10, 11]]) + + i, j = np.nested_iters(a, [[0, 1], [2]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1], [2, 3], [4, 5], [6, 7], [8, 9], [10, 11]]) + + i, j = np.nested_iters(a, [[0, 2], [1]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 2, 4], [1, 3, 5], [6, 8, 10], [7, 9, 11]]) + + def test_reorder(self): + # Test nested iteration basic usage + a = arange(12).reshape(2, 3, 2) + + # In 'K' order (default), it gets reordered + i, j = np.nested_iters(a, [[0], [2, 1]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1, 2, 3, 4, 5], [6, 7, 8, 9, 10, 11]]) + + i, j = np.nested_iters(a, [[1, 0], [2]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1], [2, 3], [4, 5], [6, 7], [8, 9], [10, 11]]) + + i, j = np.nested_iters(a, [[2, 0], [1]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 2, 4], [1, 3, 5], [6, 8, 10], [7, 9, 11]]) + + # In 'C' order, it doesn't + i, j = np.nested_iters(a, [[0], [2, 1]], order='C') + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 2, 4, 1, 3, 5], [6, 8, 10, 7, 9, 11]]) + + i, j = np.nested_iters(a, [[1, 0], [2]], order='C') + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1], [6, 7], [2, 3], [8, 9], [4, 5], [10, 11]]) + + i, j = np.nested_iters(a, [[2, 0], [1]], order='C') + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 2, 4], [6, 8, 10], [1, 3, 5], [7, 9, 11]]) + + def test_flip_axes(self): + # Test nested iteration with negative axes + a = arange(12).reshape(2, 3, 2)[::-1, ::-1, ::-1] + + # In 'K' order (default), the axes all get flipped + i, j = np.nested_iters(a, [[0], [1, 2]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1, 2, 3, 4, 5], [6, 7, 8, 9, 10, 11]]) + + i, j = np.nested_iters(a, [[0, 1], [2]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1], [2, 3], [4, 5], [6, 7], [8, 9], [10, 11]]) + + i, j = np.nested_iters(a, [[0, 2], [1]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 2, 4], [1, 3, 5], [6, 8, 10], [7, 9, 11]]) + + # In 'C' order, flipping axes is disabled + i, j = np.nested_iters(a, [[0], [1, 2]], order='C') + vals = [list(j) for _ in i] + assert_equal(vals, [[11, 10, 9, 8, 7, 6], [5, 4, 3, 2, 1, 0]]) + + i, j = np.nested_iters(a, [[0, 1], [2]], order='C') + vals = [list(j) for _ in i] + assert_equal(vals, [[11, 10], [9, 8], [7, 6], [5, 4], [3, 2], [1, 0]]) + + i, j = np.nested_iters(a, [[0, 2], [1]], order='C') + vals = [list(j) for _ in i] + assert_equal(vals, [[11, 9, 7], [10, 8, 6], [5, 3, 1], [4, 2, 0]]) + + def test_broadcast(self): + # Test nested iteration with broadcasting + a = arange(2).reshape(2, 1) + b = arange(3).reshape(1, 3) + + i, j = np.nested_iters([a, b], [[0], [1]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[[0, 0], [0, 1], [0, 2]], [[1, 0], [1, 1], [1, 2]]]) + + i, j = np.nested_iters([a, b], [[1], [0]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[[0, 0], [1, 0]], [[0, 1], [1, 1]], [[0, 2], [1, 2]]]) + + def test_dtype_copy(self): + # Test nested iteration with a copy to change dtype + + # copy + a = arange(6, dtype='i4').reshape(2, 3) + i, j = np.nested_iters(a, [[0], [1]], + op_flags=['readonly', 'copy'], + op_dtypes='f8') + assert_equal(j[0].dtype, np.dtype('f8')) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1, 2], [3, 4, 5]]) + vals = None + + # writebackifcopy - using context manager + a = arange(6, dtype='f4').reshape(2, 3) + i, j = np.nested_iters(a, [[0], [1]], + op_flags=['readwrite', 'updateifcopy'], + casting='same_kind', + op_dtypes='f8') + with i, j: + assert_equal(j[0].dtype, np.dtype('f8')) + for x in i: + for y in j: + y[...] += 1 + assert_equal(a, [[0, 1, 2], [3, 4, 5]]) + assert_equal(a, [[1, 2, 3], [4, 5, 6]]) + + # writebackifcopy - using close() + a = arange(6, dtype='f4').reshape(2, 3) + i, j = np.nested_iters(a, [[0], [1]], + op_flags=['readwrite', 'updateifcopy'], + casting='same_kind', + op_dtypes='f8') + assert_equal(j[0].dtype, np.dtype('f8')) + for x in i: + for y in j: + y[...] += 1 + assert_equal(a, [[0, 1, 2], [3, 4, 5]]) + i.close() + j.close() + assert_equal(a, [[1, 2, 3], [4, 5, 6]]) + + def test_dtype_buffered(self): + # Test nested iteration with buffering to change dtype + + a = arange(6, dtype='f4').reshape(2, 3) + i, j = np.nested_iters(a, [[0], [1]], + flags=['buffered'], + op_flags=['readwrite'], + casting='same_kind', + op_dtypes='f8') + assert_equal(j[0].dtype, np.dtype('f8')) + for x in i: + for y in j: + y[...] += 1 + assert_equal(a, [[1, 2, 3], [4, 5, 6]]) + + def test_0d(self): + a = np.arange(12).reshape(2, 3, 2) + i, j = np.nested_iters(a, [[], [1, 0, 2]]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]]) + + i, j = np.nested_iters(a, [[1, 0, 2], []]) + vals = [list(j) for _ in i] + assert_equal(vals, [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11]]) + + i, j, k = np.nested_iters(a, [[2, 0], [], [1]]) + vals = [] + for x in i: + for y in j: + vals.append(list(k)) + assert_equal(vals, [[0, 2, 4], [1, 3, 5], [6, 8, 10], [7, 9, 11]]) + + def test_iter_nested_iters_dtype_buffered(self): + # Test nested iteration with buffering to change dtype + + a = arange(6, dtype='f4').reshape(2, 3) + i, j = np.nested_iters(a, [[0], [1]], + flags=['buffered'], + op_flags=['readwrite'], + casting='same_kind', + op_dtypes='f8') + with i, j: + assert_equal(j[0].dtype, np.dtype('f8')) + for x in i: + for y in j: + y[...] += 1 + assert_equal(a, [[1, 2, 3], [4, 5, 6]]) + +def test_iter_reduction_error(): + + a = np.arange(6) + assert_raises(ValueError, nditer, [a, None], [], + [['readonly'], ['readwrite', 'allocate']], + op_axes=[[0], [-1]]) + + a = np.arange(6).reshape(2, 3) + assert_raises(ValueError, nditer, [a, None], ['external_loop'], + [['readonly'], ['readwrite', 'allocate']], + op_axes=[[0, 1], [-1, -1]]) + +def test_iter_reduction(): + # Test doing reductions with the iterator + + a = np.arange(6) + i = nditer([a, None], ['reduce_ok'], + [['readonly'], ['readwrite', 'allocate']], + op_axes=[[0], [-1]]) + # Need to initialize the output operand to the addition unit + with i: + i.operands[1][...] = 0 + # Do the reduction + for x, y in i: + y[...] += x + # Since no axes were specified, should have allocated a scalar + assert_equal(i.operands[1].ndim, 0) + assert_equal(i.operands[1], np.sum(a)) + + a = np.arange(6).reshape(2, 3) + i = nditer([a, None], ['reduce_ok', 'external_loop'], + [['readonly'], ['readwrite', 'allocate']], + op_axes=[[0, 1], [-1, -1]]) + # Need to initialize the output operand to the addition unit + with i: + i.operands[1][...] = 0 + # Reduction shape/strides for the output + assert_equal(i[1].shape, (6,)) + assert_equal(i[1].strides, (0,)) + # Do the reduction + for x, y in i: + # Use a for loop instead of ``y[...] += x`` + # (equivalent to ``y[...] = y[...].copy() + x``), + # because y has zero strides we use for the reduction + for j in range(len(y)): + y[j] += x[j] + # Since no axes were specified, should have allocated a scalar + assert_equal(i.operands[1].ndim, 0) + assert_equal(i.operands[1], np.sum(a)) + + # This is a tricky reduction case for the buffering double loop + # to handle + a = np.ones((2, 3, 5)) + it1 = nditer([a, None], ['reduce_ok', 'external_loop'], + [['readonly'], ['readwrite', 'allocate']], + op_axes=[None, [0, -1, 1]]) + it2 = nditer([a, None], ['reduce_ok', 'external_loop', + 'buffered', 'delay_bufalloc'], + [['readonly'], ['readwrite', 'allocate']], + op_axes=[None, [0, -1, 1]], buffersize=10) + with it1, it2: + it1.operands[1].fill(0) + it2.operands[1].fill(0) + it2.reset() + for x in it1: + x[1][...] += x[0] + for x in it2: + x[1][...] += x[0] + assert_equal(it1.operands[1], it2.operands[1]) + assert_equal(it2.operands[1].sum(), a.size) + +def test_iter_buffering_reduction(): + # Test doing buffered reductions with the iterator + + a = np.arange(6) + b = np.array(0., dtype='f8').byteswap() + b = b.view(b.dtype.newbyteorder()) + i = nditer([a, b], ['reduce_ok', 'buffered'], + [['readonly'], ['readwrite', 'nbo']], + op_axes=[[0], [-1]]) + with i: + assert_equal(i[1].dtype, np.dtype('f8')) + assert_(i[1].dtype != b.dtype) + # Do the reduction + for x, y in i: + y[...] += x + # Since no axes were specified, should have allocated a scalar + assert_equal(b, np.sum(a)) + + a = np.arange(6).reshape(2, 3) + b = np.array([0, 0], dtype='f8').byteswap() + b = b.view(b.dtype.newbyteorder()) + i = nditer([a, b], ['reduce_ok', 'external_loop', 'buffered'], + [['readonly'], ['readwrite', 'nbo']], + op_axes=[[0, 1], [0, -1]]) + # Reduction shape/strides for the output + with i: + assert_equal(i[1].shape, (3,)) + assert_equal(i[1].strides, (0,)) + # Do the reduction + for x, y in i: + # Use a for loop instead of ``y[...] += x`` + # (equivalent to ``y[...] = y[...].copy() + x``), + # because y has zero strides we use for the reduction + for j in range(len(y)): + y[j] += x[j] + assert_equal(b, np.sum(a, axis=1)) + + # Iterator inner double loop was wrong on this one + p = np.arange(2) + 1 + it = np.nditer([p, None], + ['delay_bufalloc', 'reduce_ok', 'buffered', 'external_loop'], + [['readonly'], ['readwrite', 'allocate']], + op_axes=[[-1, 0], [-1, -1]], + itershape=(2, 2)) + with it: + it.operands[1].fill(0) + it.reset() + assert_equal(it[0], [1, 2, 1, 2]) + + # Iterator inner loop should take argument contiguity into account + x = np.ones((7, 13, 8), np.int8)[4:6, 1:11:6, 1:5].transpose(1, 2, 0) + x[...] = np.arange(x.size).reshape(x.shape) + y_base = np.arange(4*4, dtype=np.int8).reshape(4, 4) + y_base_copy = y_base.copy() + y = y_base[::2, :, None] + + it = np.nditer([y, x], + ['buffered', 'external_loop', 'reduce_ok'], + [['readwrite'], ['readonly']]) + with it: + for a, b in it: + a.fill(2) + + assert_equal(y_base[1::2], y_base_copy[1::2]) + assert_equal(y_base[::2], 2) + +def test_iter_buffering_reduction_reuse_reduce_loops(): + # There was a bug triggering reuse of the reduce loop inappropriately, + # which caused processing to happen in unnecessarily small chunks + # and overran the buffer. + + a = np.zeros((2, 7)) + b = np.zeros((1, 7)) + it = np.nditer([a, b], flags=['reduce_ok', 'external_loop', 'buffered'], + op_flags=[['readonly'], ['readwrite']], + buffersize=5) + + with it: + bufsizes = [x.shape[0] for x, y in it] + assert_equal(bufsizes, [5, 2, 5, 2]) + assert_equal(sum(bufsizes), a.size) + +def test_iter_writemasked_badinput(): + a = np.zeros((2, 3)) + b = np.zeros((3,)) + m = np.array([[True, True, False], [False, True, False]]) + m2 = np.array([True, True, False]) + m3 = np.array([0, 1, 1], dtype='u1') + mbad1 = np.array([0, 1, 1], dtype='i1') + mbad2 = np.array([0, 1, 1], dtype='f4') + + # Need an 'arraymask' if any operand is 'writemasked' + assert_raises(ValueError, nditer, [a, m], [], + [['readwrite', 'writemasked'], ['readonly']]) + + # A 'writemasked' operand must not be readonly + assert_raises(ValueError, nditer, [a, m], [], + [['readonly', 'writemasked'], ['readonly', 'arraymask']]) + + # 'writemasked' and 'arraymask' may not be used together + assert_raises(ValueError, nditer, [a, m], [], + [['readonly'], ['readwrite', 'arraymask', 'writemasked']]) + + # 'arraymask' may only be specified once + assert_raises(ValueError, nditer, [a, m, m2], [], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask'], + ['readonly', 'arraymask']]) + + # An 'arraymask' with nothing 'writemasked' also doesn't make sense + assert_raises(ValueError, nditer, [a, m], [], + [['readwrite'], ['readonly', 'arraymask']]) + + # A writemasked reduction requires a similarly smaller mask + assert_raises(ValueError, nditer, [a, b, m], ['reduce_ok'], + [['readonly'], + ['readwrite', 'writemasked'], + ['readonly', 'arraymask']]) + # But this should work with a smaller/equal mask to the reduction operand + np.nditer([a, b, m2], ['reduce_ok'], + [['readonly'], + ['readwrite', 'writemasked'], + ['readonly', 'arraymask']]) + # The arraymask itself cannot be a reduction + assert_raises(ValueError, nditer, [a, b, m2], ['reduce_ok'], + [['readonly'], + ['readwrite', 'writemasked'], + ['readwrite', 'arraymask']]) + + # A uint8 mask is ok too + np.nditer([a, m3], ['buffered'], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask']], + op_dtypes=['f4', None], + casting='same_kind') + # An int8 mask isn't ok + assert_raises(TypeError, np.nditer, [a, mbad1], ['buffered'], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask']], + op_dtypes=['f4', None], + casting='same_kind') + # A float32 mask isn't ok + assert_raises(TypeError, np.nditer, [a, mbad2], ['buffered'], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask']], + op_dtypes=['f4', None], + casting='same_kind') + + +def _is_buffered(iterator): + try: + iterator.itviews + except ValueError: + return True + return False + +@pytest.mark.parametrize("a", + [np.zeros((3,), dtype='f8'), + np.zeros((9876, 3*5), dtype='f8')[::2, :], + np.zeros((4, 312, 124, 3), dtype='f8')[::2, :, ::2, :], + # Also test with the last dimension strided (so it does not fit if + # there is repeated access) + np.zeros((9,), dtype='f8')[::3], + np.zeros((9876, 3*10), dtype='f8')[::2, ::5], + np.zeros((4, 312, 124, 3), dtype='f8')[::2, :, ::2, ::-1]]) +def test_iter_writemasked(a): + # Note, the slicing above is to ensure that nditer cannot combine multiple + # axes into one. The repetition is just to make things a bit more + # interesting. + shape = a.shape + reps = shape[-1] // 3 + msk = np.empty(shape, dtype=bool) + msk[...] = [True, True, False] * reps + + # When buffering is unused, 'writemasked' effectively does nothing. + # It's up to the user of the iterator to obey the requested semantics. + it = np.nditer([a, msk], [], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask']]) + with it: + for x, m in it: + x[...] = 1 + # Because we violated the semantics, all the values became 1 + assert_equal(a, np.broadcast_to([1, 1, 1] * reps, shape)) + + # Even if buffering is enabled, we still may be accessing the array + # directly. + it = np.nditer([a, msk], ['buffered'], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask']]) + # @seberg: I honestly don't currently understand why a "buffered" iterator + # would end up not using a buffer for the small array here at least when + # "writemasked" is used, that seems confusing... Check by testing for + # actual memory overlap! + is_buffered = True + with it: + for x, m in it: + x[...] = 2.5 + if np.may_share_memory(x, a): + is_buffered = False + + if not is_buffered: + # Because we violated the semantics, all the values became 2.5 + assert_equal(a, np.broadcast_to([2.5, 2.5, 2.5] * reps, shape)) + else: + # For large sizes, the iterator may be buffered: + assert_equal(a, np.broadcast_to([2.5, 2.5, 1] * reps, shape)) + a[...] = 2.5 + + # If buffering will definitely happening, for instance because of + # a cast, only the items selected by the mask will be copied back from + # the buffer. + it = np.nditer([a, msk], ['buffered'], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask']], + op_dtypes=['i8', None], + casting='unsafe') + with it: + for x, m in it: + x[...] = 3 + # Even though we violated the semantics, only the selected values + # were copied back + assert_equal(a, np.broadcast_to([3, 3, 2.5] * reps, shape)) + + +@pytest.mark.parametrize(["mask", "mask_axes"], [ + # Allocated operand (only broadcasts with -1) + (None, [-1, 0]), + # Reduction along the first dimension (with and without op_axes) + (np.zeros((1, 4), dtype="bool"), [0, 1]), + (np.zeros((1, 4), dtype="bool"), None), + # Test 0-D and -1 op_axes + (np.zeros(4, dtype="bool"), [-1, 0]), + (np.zeros((), dtype="bool"), [-1, -1]), + (np.zeros((), dtype="bool"), None)]) +def test_iter_writemasked_broadcast_error(mask, mask_axes): + # This assumes that a readwrite mask makes sense. This is likely not the + # case and should simply be deprecated. + arr = np.zeros((3, 4)) + itflags = ["reduce_ok"] + mask_flags = ["arraymask", "readwrite", "allocate"] + a_flags = ["writeonly", "writemasked"] + if mask_axes is None: + op_axes = None + else: + op_axes = [mask_axes, [0, 1]] + + with assert_raises(ValueError): + np.nditer((mask, arr), flags=itflags, op_flags=[mask_flags, a_flags], + op_axes=op_axes) + + +def test_iter_writemasked_decref(): + # force casting (to make it interesting) by using a structured dtype. + arr = np.arange(10000).astype(">i,O") + original = arr.copy() + mask = np.random.randint(0, 2, size=10000).astype(bool) + + it = np.nditer([arr, mask], ['buffered', "refs_ok"], + [['readwrite', 'writemasked'], + ['readonly', 'arraymask']], + op_dtypes=[" string -> longdouble` for the + # conversion. But Python may refuse `str(int)` for huge ints. + # In that case, RuntimeWarning would be correct, but conversion + # fails earlier (seems to happen on 32bit linux, possibly only debug). + if dtype in "gG": + try: + str(too_big_int) + except ValueError: + pytest.skip("`huge_int -> string -> longdouble` failed") + + # Otherwise, we overflow to infinity: + with pytest.warns(RuntimeWarning): + res = scalar_type(1) + too_big_int + assert res.dtype == dtype + assert res == np.inf + + with pytest.warns(RuntimeWarning): + # We force the dtype here, since windows may otherwise pick the + # double instead of the longdouble loop. That leads to slightly + # different results (conversion of the int fails as above). + res = np.add(np.array(1, dtype=dtype), too_big_int, dtype=dtype) + assert res.dtype == dtype + assert res == np.inf + + +@pytest.mark.parametrize("op", [operator.add, operator.pow]) +def test_weak_promotion_scalar_path(op): + # Some additional paths exercising the weak scalars. + + # Integer path: + res = op(np.uint8(3), 5) + assert res == op(3, 5) + assert res.dtype == np.uint8 or res.dtype == bool + + with pytest.raises(OverflowError): + op(np.uint8(3), 1000) + + # Float path: + res = op(np.float32(3), 5.) + assert res == op(3., 5.) + assert res.dtype == np.float32 or res.dtype == bool + + +def test_nep50_complex_promotion(): + with pytest.warns(RuntimeWarning, match=".*overflow"): + res = np.complex64(3) + complex(2**300) + + assert type(res) == np.complex64 + + +def test_nep50_integer_conversion_errors(): + # Implementation for error paths is mostly missing (as of writing) + with pytest.raises(OverflowError, match=".*uint8"): + np.array([1], np.uint8) + 300 + + with pytest.raises(OverflowError, match=".*uint8"): + np.uint8(1) + 300 + + # Error message depends on platform (maybe unsigned int or unsigned long) + with pytest.raises(OverflowError, + match="Python integer -1 out of bounds for uint8"): + np.uint8(1) + -1 + + +def test_nep50_with_axisconcatenator(): + # Concatenate/r_ does not promote, so this has to error: + with pytest.raises(OverflowError): + np.r_[np.arange(5, dtype=np.int8), 255] + + +@pytest.mark.parametrize("ufunc", [np.add, np.power]) +def test_nep50_huge_integers(ufunc): + # Very large integers are complicated, because they go to uint64 or + # object dtype. This tests covers a few possible paths. + with pytest.raises(OverflowError): + ufunc(np.int64(0), 2**63) # 2**63 too large for int64 + + with pytest.raises(OverflowError): + ufunc(np.uint64(0), 2**64) # 2**64 cannot be represented by uint64 + + # However, 2**63 can be represented by the uint64 (and that is used): + res = ufunc(np.uint64(1), 2**63) + + assert res.dtype == np.uint64 + assert res == ufunc(1, 2**63, dtype=object) + + # The following paths fail to warn correctly about the change: + with pytest.raises(OverflowError): + ufunc(np.int64(1), 2**63) # np.array(2**63) would go to uint + + with pytest.raises(OverflowError): + ufunc(np.int64(1), 2**100) # np.array(2**100) would go to object + + # This would go to object and thus a Python float, not a NumPy one: + res = ufunc(1.0, 2**100) + assert isinstance(res, np.float64) + + +def test_nep50_in_concat_and_choose(): + res = np.concatenate([np.float32(1), 1.], axis=None) + assert res.dtype == "float32" + + res = np.choose(1, [np.float32(1), 1.]) + assert res.dtype == "float32" + + +@pytest.mark.parametrize("expected,dtypes,optional_dtypes", [ + (np.float32, [np.float32], + [np.float16, 0.0, np.uint16, np.int16, np.int8, 0]), + (np.complex64, [np.float32, 0j], + [np.float16, 0.0, np.uint16, np.int16, np.int8, 0]), + (np.float32, [np.int16, np.uint16, np.float16], + [np.int8, np.uint8, np.float32, 0., 0]), + (np.int32, [np.int16, np.uint16], + [np.int8, np.uint8, 0, np.bool]), + ]) +@hypothesis.given(data=strategies.data()) +def test_expected_promotion(expected, dtypes, optional_dtypes, data): + # Sample randomly while ensuring "dtypes" is always present: + optional = data.draw(strategies.lists( + strategies.sampled_from(dtypes + optional_dtypes))) + all_dtypes = dtypes + optional + dtypes_sample = data.draw(strategies.permutations(all_dtypes)) + + res = np.result_type(*dtypes_sample) + assert res == expected + + +@pytest.mark.parametrize("sctype", + [np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64]) +@pytest.mark.parametrize("other_val", + [-2*100, -1, 0, 9, 10, 11, 2**63, 2*100]) +@pytest.mark.parametrize("comp", + [operator.eq, operator.ne, operator.le, operator.lt, + operator.ge, operator.gt]) +def test_integer_comparison(sctype, other_val, comp): + # Test that comparisons with integers (especially out-of-bound) ones + # works correctly. + val_obj = 10 + val = sctype(val_obj) + # Check that the scalar behaves the same as the python int: + assert comp(10, other_val) == comp(val, other_val) + assert comp(val, other_val) == comp(10, other_val) + # Except for the result type: + assert type(comp(val, other_val)) is np.bool + + # Check that the integer array and object array behave the same: + val_obj = np.array([10, 10], dtype=object) + val = val_obj.astype(sctype) + assert_array_equal(comp(val_obj, other_val), comp(val, other_val)) + assert_array_equal(comp(other_val, val_obj), comp(other_val, val)) + + +@pytest.mark.parametrize("arr", [ + np.ones((100, 100), dtype=np.uint8)[::2], # not trivially iterable + np.ones(20000, dtype=">u4"), # cast and >buffersize + np.ones(100, dtype=">u4"), # fast path compatible with cast +]) +def test_integer_comparison_with_cast(arr): + # Similar to above, but mainly test a few cases that cover the slow path + # the test is limited to unsigned ints and -1 for simplicity. + res = arr >= -1 + assert_array_equal(res, np.ones_like(arr, dtype=bool)) + res = arr < -1 + assert_array_equal(res, np.zeros_like(arr, dtype=bool)) + + +@pytest.mark.parametrize("comp", + [np.equal, np.not_equal, np.less_equal, np.less, + np.greater_equal, np.greater]) +def test_integer_integer_comparison(comp): + # Test that the NumPy comparison ufuncs work with large Python integers + assert comp(2**200, -2**200) == comp(2**200, -2**200, dtype=object) + + +def create_with_scalar(sctype, value): + return sctype(value) + + +def create_with_array(sctype, value): + return np.array([value], dtype=sctype) + + +@pytest.mark.parametrize("sctype", + [np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64]) +@pytest.mark.parametrize("create", [create_with_scalar, create_with_array]) +def test_oob_creation(sctype, create): + iinfo = np.iinfo(sctype) + + with pytest.raises(OverflowError): + create(sctype, iinfo.min - 1) + + with pytest.raises(OverflowError): + create(sctype, iinfo.max + 1) + + with pytest.raises(OverflowError): + create(sctype, str(iinfo.min - 1)) + + with pytest.raises(OverflowError): + create(sctype, str(iinfo.max + 1)) + + assert create(sctype, iinfo.min) == iinfo.min + assert create(sctype, iinfo.max) == iinfo.max diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_numeric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_numeric.py new file mode 100644 index 0000000000000000000000000000000000000000..8e63536cbd5501ce2f2854fa2190035b825b5f96 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_numeric.py @@ -0,0 +1,4210 @@ +import sys +import warnings +import itertools +import platform +import pytest +import math +from decimal import Decimal + +import numpy as np +from numpy._core import umath, sctypes +from numpy._core.numerictypes import obj2sctype +from numpy.exceptions import AxisError +from numpy.random import rand, randint, randn +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_raises_regex, + assert_array_equal, assert_almost_equal, assert_array_almost_equal, + assert_warns, assert_array_max_ulp, HAS_REFCOUNT, IS_WASM + ) +from numpy._core._rational_tests import rational +from numpy import ma + +from hypothesis import given, strategies as st +from hypothesis.extra import numpy as hynp + + +class TestResize: + def test_copies(self): + A = np.array([[1, 2], [3, 4]]) + Ar1 = np.array([[1, 2, 3, 4], [1, 2, 3, 4]]) + assert_equal(np.resize(A, (2, 4)), Ar1) + + Ar2 = np.array([[1, 2], [3, 4], [1, 2], [3, 4]]) + assert_equal(np.resize(A, (4, 2)), Ar2) + + Ar3 = np.array([[1, 2, 3], [4, 1, 2], [3, 4, 1], [2, 3, 4]]) + assert_equal(np.resize(A, (4, 3)), Ar3) + + def test_repeats(self): + A = np.array([1, 2, 3]) + Ar1 = np.array([[1, 2, 3, 1], [2, 3, 1, 2]]) + assert_equal(np.resize(A, (2, 4)), Ar1) + + Ar2 = np.array([[1, 2], [3, 1], [2, 3], [1, 2]]) + assert_equal(np.resize(A, (4, 2)), Ar2) + + Ar3 = np.array([[1, 2, 3], [1, 2, 3], [1, 2, 3], [1, 2, 3]]) + assert_equal(np.resize(A, (4, 3)), Ar3) + + def test_zeroresize(self): + A = np.array([[1, 2], [3, 4]]) + Ar = np.resize(A, (0,)) + assert_array_equal(Ar, np.array([])) + assert_equal(A.dtype, Ar.dtype) + + Ar = np.resize(A, (0, 2)) + assert_equal(Ar.shape, (0, 2)) + + Ar = np.resize(A, (2, 0)) + assert_equal(Ar.shape, (2, 0)) + + def test_reshape_from_zero(self): + # See also gh-6740 + A = np.zeros(0, dtype=[('a', np.float32)]) + Ar = np.resize(A, (2, 1)) + assert_array_equal(Ar, np.zeros((2, 1), Ar.dtype)) + assert_equal(A.dtype, Ar.dtype) + + def test_negative_resize(self): + A = np.arange(0, 10, dtype=np.float32) + new_shape = (-10, -1) + with pytest.raises(ValueError, match=r"negative"): + np.resize(A, new_shape=new_shape) + + def test_subclass(self): + class MyArray(np.ndarray): + __array_priority__ = 1. + + my_arr = np.array([1]).view(MyArray) + assert type(np.resize(my_arr, 5)) is MyArray + assert type(np.resize(my_arr, 0)) is MyArray + + my_arr = np.array([]).view(MyArray) + assert type(np.resize(my_arr, 5)) is MyArray + + +class TestNonarrayArgs: + # check that non-array arguments to functions wrap them in arrays + def test_choose(self): + choices = [[0, 1, 2], + [3, 4, 5], + [5, 6, 7]] + tgt = [5, 1, 5] + a = [2, 0, 1] + + out = np.choose(a, choices) + assert_equal(out, tgt) + + def test_clip(self): + arr = [-1, 5, 2, 3, 10, -4, -9] + out = np.clip(arr, 2, 7) + tgt = [2, 5, 2, 3, 7, 2, 2] + assert_equal(out, tgt) + + def test_compress(self): + arr = [[0, 1, 2, 3, 4], + [5, 6, 7, 8, 9]] + tgt = [[5, 6, 7, 8, 9]] + out = np.compress([0, 1], arr, axis=0) + assert_equal(out, tgt) + + def test_count_nonzero(self): + arr = [[0, 1, 7, 0, 0], + [3, 0, 0, 2, 19]] + tgt = np.array([2, 3]) + out = np.count_nonzero(arr, axis=1) + assert_equal(out, tgt) + + def test_diagonal(self): + a = [[0, 1, 2, 3], + [4, 5, 6, 7], + [8, 9, 10, 11]] + out = np.diagonal(a) + tgt = [0, 5, 10] + + assert_equal(out, tgt) + + def test_mean(self): + A = [[1, 2, 3], [4, 5, 6]] + assert_(np.mean(A) == 3.5) + assert_(np.all(np.mean(A, 0) == np.array([2.5, 3.5, 4.5]))) + assert_(np.all(np.mean(A, 1) == np.array([2., 5.]))) + + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_(np.isnan(np.mean([]))) + assert_(w[0].category is RuntimeWarning) + + def test_ptp(self): + a = [3, 4, 5, 10, -3, -5, 6.0] + assert_equal(np.ptp(a, axis=0), 15.0) + + def test_prod(self): + arr = [[1, 2, 3, 4], + [5, 6, 7, 9], + [10, 3, 4, 5]] + tgt = [24, 1890, 600] + + assert_equal(np.prod(arr, axis=-1), tgt) + + def test_ravel(self): + a = [[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]] + tgt = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] + assert_equal(np.ravel(a), tgt) + + def test_repeat(self): + a = [1, 2, 3] + tgt = [1, 1, 2, 2, 3, 3] + + out = np.repeat(a, 2) + assert_equal(out, tgt) + + def test_reshape(self): + arr = [[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]] + tgt = [[1, 2, 3, 4, 5, 6], [7, 8, 9, 10, 11, 12]] + assert_equal(np.reshape(arr, (2, 6)), tgt) + + def test_reshape_shape_arg(self): + arr = np.arange(12) + shape = (3, 4) + expected = arr.reshape(shape) + + with pytest.raises( + TypeError, + match="You cannot specify 'newshape' and 'shape' " + "arguments at the same time." + ): + np.reshape(arr, shape=shape, newshape=shape) + with pytest.raises( + TypeError, + match=r"reshape\(\) missing 1 required positional " + "argument: 'shape'" + ): + np.reshape(arr) + + assert_equal(np.reshape(arr, shape), expected) + assert_equal(np.reshape(arr, shape, order="C"), expected) + assert_equal(np.reshape(arr, shape, "C"), expected) + assert_equal(np.reshape(arr, shape=shape), expected) + assert_equal(np.reshape(arr, shape=shape, order="C"), expected) + with pytest.warns(DeprecationWarning): + actual = np.reshape(arr, newshape=shape) + assert_equal(actual, expected) + + def test_reshape_copy_arg(self): + arr = np.arange(24).reshape(2, 3, 4) + arr_f_ord = np.array(arr, order="F") + shape = (12, 2) + + assert np.shares_memory(np.reshape(arr, shape), arr) + assert np.shares_memory(np.reshape(arr, shape, order="C"), arr) + assert np.shares_memory( + np.reshape(arr_f_ord, shape, order="F"), arr_f_ord) + assert np.shares_memory(np.reshape(arr, shape, copy=None), arr) + assert np.shares_memory(np.reshape(arr, shape, copy=False), arr) + assert np.shares_memory(arr.reshape(shape, copy=False), arr) + assert not np.shares_memory(np.reshape(arr, shape, copy=True), arr) + assert not np.shares_memory( + np.reshape(arr, shape, order="C", copy=True), arr) + assert not np.shares_memory( + np.reshape(arr, shape, order="F", copy=True), arr) + assert not np.shares_memory( + np.reshape(arr, shape, order="F", copy=None), arr) + + err_msg = "Unable to avoid creating a copy while reshaping." + with pytest.raises(ValueError, match=err_msg): + np.reshape(arr, shape, order="F", copy=False) + with pytest.raises(ValueError, match=err_msg): + np.reshape(arr_f_ord, shape, order="C", copy=False) + + def test_round(self): + arr = [1.56, 72.54, 6.35, 3.25] + tgt = [1.6, 72.5, 6.4, 3.2] + assert_equal(np.around(arr, decimals=1), tgt) + s = np.float64(1.) + assert_(isinstance(s.round(), np.float64)) + assert_equal(s.round(), 1.) + + @pytest.mark.parametrize('dtype', [ + np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64, + np.float16, np.float32, np.float64, + ]) + def test_dunder_round(self, dtype): + s = dtype(1) + assert_(isinstance(round(s), int)) + assert_(isinstance(round(s, None), int)) + assert_(isinstance(round(s, ndigits=None), int)) + assert_equal(round(s), 1) + assert_equal(round(s, None), 1) + assert_equal(round(s, ndigits=None), 1) + + @pytest.mark.parametrize('val, ndigits', [ + pytest.param(2**31 - 1, -1, + marks=pytest.mark.skip(reason="Out of range of int32") + ), + (2**31 - 1, 1-math.ceil(math.log10(2**31 - 1))), + (2**31 - 1, -math.ceil(math.log10(2**31 - 1))) + ]) + def test_dunder_round_edgecases(self, val, ndigits): + assert_equal(round(val, ndigits), round(np.int32(val), ndigits)) + + def test_dunder_round_accuracy(self): + f = np.float64(5.1 * 10**73) + assert_(isinstance(round(f, -73), np.float64)) + assert_array_max_ulp(round(f, -73), 5.0 * 10**73) + assert_(isinstance(round(f, ndigits=-73), np.float64)) + assert_array_max_ulp(round(f, ndigits=-73), 5.0 * 10**73) + + i = np.int64(501) + assert_(isinstance(round(i, -2), np.int64)) + assert_array_max_ulp(round(i, -2), 500) + assert_(isinstance(round(i, ndigits=-2), np.int64)) + assert_array_max_ulp(round(i, ndigits=-2), 500) + + @pytest.mark.xfail(raises=AssertionError, reason="gh-15896") + def test_round_py_consistency(self): + f = 5.1 * 10**73 + assert_equal(round(np.float64(f), -73), round(f, -73)) + + def test_searchsorted(self): + arr = [-8, -5, -1, 3, 6, 10] + out = np.searchsorted(arr, 0) + assert_equal(out, 3) + + def test_size(self): + A = [[1, 2, 3], [4, 5, 6]] + assert_(np.size(A) == 6) + assert_(np.size(A, 0) == 2) + assert_(np.size(A, 1) == 3) + + def test_squeeze(self): + A = [[[1, 1, 1], [2, 2, 2], [3, 3, 3]]] + assert_equal(np.squeeze(A).shape, (3, 3)) + assert_equal(np.squeeze(np.zeros((1, 3, 1))).shape, (3,)) + assert_equal(np.squeeze(np.zeros((1, 3, 1)), axis=0).shape, (3, 1)) + assert_equal(np.squeeze(np.zeros((1, 3, 1)), axis=-1).shape, (1, 3)) + assert_equal(np.squeeze(np.zeros((1, 3, 1)), axis=2).shape, (1, 3)) + assert_equal(np.squeeze([np.zeros((3, 1))]).shape, (3,)) + assert_equal(np.squeeze([np.zeros((3, 1))], axis=0).shape, (3, 1)) + assert_equal(np.squeeze([np.zeros((3, 1))], axis=2).shape, (1, 3)) + assert_equal(np.squeeze([np.zeros((3, 1))], axis=-1).shape, (1, 3)) + + def test_std(self): + A = [[1, 2, 3], [4, 5, 6]] + assert_almost_equal(np.std(A), 1.707825127659933) + assert_almost_equal(np.std(A, 0), np.array([1.5, 1.5, 1.5])) + assert_almost_equal(np.std(A, 1), np.array([0.81649658, 0.81649658])) + + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_(np.isnan(np.std([]))) + assert_(w[0].category is RuntimeWarning) + + def test_swapaxes(self): + tgt = [[[0, 4], [2, 6]], [[1, 5], [3, 7]]] + a = [[[0, 1], [2, 3]], [[4, 5], [6, 7]]] + out = np.swapaxes(a, 0, 2) + assert_equal(out, tgt) + + def test_sum(self): + m = [[1, 2, 3], + [4, 5, 6], + [7, 8, 9]] + tgt = [[6], [15], [24]] + out = np.sum(m, axis=1, keepdims=True) + + assert_equal(tgt, out) + + def test_take(self): + tgt = [2, 3, 5] + indices = [1, 2, 4] + a = [1, 2, 3, 4, 5] + + out = np.take(a, indices) + assert_equal(out, tgt) + + pairs = [ + (np.int32, np.int32), (np.int32, np.int64), + (np.int64, np.int32), (np.int64, np.int64) + ] + for array_type, indices_type in pairs: + x = np.array([1, 2, 3, 4, 5], dtype=array_type) + ind = np.array([0, 2, 2, 3], dtype=indices_type) + tgt = np.array([1, 3, 3, 4], dtype=array_type) + out = np.take(x, ind) + assert_equal(out, tgt) + assert_equal(out.dtype, tgt.dtype) + + def test_trace(self): + c = [[1, 2], [3, 4], [5, 6]] + assert_equal(np.trace(c), 5) + + def test_transpose(self): + arr = [[1, 2], [3, 4], [5, 6]] + tgt = [[1, 3, 5], [2, 4, 6]] + assert_equal(np.transpose(arr, (1, 0)), tgt) + assert_equal(np.transpose(arr, (-1, -2)), tgt) + assert_equal(np.matrix_transpose(arr), tgt) + + def test_var(self): + A = [[1, 2, 3], [4, 5, 6]] + assert_almost_equal(np.var(A), 2.9166666666666665) + assert_almost_equal(np.var(A, 0), np.array([2.25, 2.25, 2.25])) + assert_almost_equal(np.var(A, 1), np.array([0.66666667, 0.66666667])) + + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_(np.isnan(np.var([]))) + assert_(w[0].category is RuntimeWarning) + + B = np.array([None, 0]) + B[0] = 1j + assert_almost_equal(np.var(B), 0.25) + + def test_std_with_mean_keyword(self): + # Setting the seed to make the test reproducible + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + mean_out = np.zeros((10, 1, 5)) + std_out = np.zeros((10, 1, 5)) + + mean = np.mean(A, + out=mean_out, + axis=1, + keepdims=True) + + # The returned object should be the object specified during calling + assert mean_out is mean + + std = np.std(A, + out=std_out, + axis=1, + keepdims=True, + mean=mean) + + # The returned object should be the object specified during calling + assert std_out is std + + # Shape of returned mean and std should be same + assert std.shape == mean.shape + assert std.shape == (10, 1, 5) + + # Output should be the same as from the individual algorithms + std_old = np.std(A, axis=1, keepdims=True) + + assert std_old.shape == mean.shape + assert_almost_equal(std, std_old) + + def test_var_with_mean_keyword(self): + # Setting the seed to make the test reproducible + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + mean_out = np.zeros((10, 1, 5)) + var_out = np.zeros((10, 1, 5)) + + mean = np.mean(A, + out=mean_out, + axis=1, + keepdims=True) + + # The returned object should be the object specified during calling + assert mean_out is mean + + var = np.var(A, + out=var_out, + axis=1, + keepdims=True, + mean=mean) + + # The returned object should be the object specified during calling + assert var_out is var + + # Shape of returned mean and var should be same + assert var.shape == mean.shape + assert var.shape == (10, 1, 5) + + # Output should be the same as from the individual algorithms + var_old = np.var(A, axis=1, keepdims=True) + + assert var_old.shape == mean.shape + assert_almost_equal(var, var_old) + + def test_std_with_mean_keyword_keepdims_false(self): + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + mean = np.mean(A, + axis=1, + keepdims=True) + + std = np.std(A, + axis=1, + keepdims=False, + mean=mean) + + # Shape of returned mean and std should be same + assert std.shape == (10, 5) + + # Output should be the same as from the individual algorithms + std_old = np.std(A, axis=1, keepdims=False) + mean_old = np.mean(A, axis=1, keepdims=False) + + assert std_old.shape == mean_old.shape + assert_equal(std, std_old) + + def test_var_with_mean_keyword_keepdims_false(self): + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + mean = np.mean(A, + axis=1, + keepdims=True) + + var = np.var(A, + axis=1, + keepdims=False, + mean=mean) + + # Shape of returned mean and var should be same + assert var.shape == (10, 5) + + # Output should be the same as from the individual algorithms + var_old = np.var(A, axis=1, keepdims=False) + mean_old = np.mean(A, axis=1, keepdims=False) + + assert var_old.shape == mean_old.shape + assert_equal(var, var_old) + + def test_std_with_mean_keyword_where_nontrivial(self): + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + where = A > 0.5 + + mean = np.mean(A, + axis=1, + keepdims=True, + where=where) + + std = np.std(A, + axis=1, + keepdims=False, + mean=mean, + where=where) + + # Shape of returned mean and std should be same + assert std.shape == (10, 5) + + # Output should be the same as from the individual algorithms + std_old = np.std(A, axis=1, where=where) + mean_old = np.mean(A, axis=1, where=where) + + assert std_old.shape == mean_old.shape + assert_equal(std, std_old) + + def test_var_with_mean_keyword_where_nontrivial(self): + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + where = A > 0.5 + + mean = np.mean(A, + axis=1, + keepdims=True, + where=where) + + var = np.var(A, + axis=1, + keepdims=False, + mean=mean, + where=where) + + # Shape of returned mean and var should be same + assert var.shape == (10, 5) + + # Output should be the same as from the individual algorithms + var_old = np.var(A, axis=1, where=where) + mean_old = np.mean(A, axis=1, where=where) + + assert var_old.shape == mean_old.shape + assert_equal(var, var_old) + + def test_std_with_mean_keyword_multiple_axis(self): + # Setting the seed to make the test reproducible + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + axis = (0, 2) + + mean = np.mean(A, + out=None, + axis=axis, + keepdims=True) + + std = np.std(A, + out=None, + axis=axis, + keepdims=False, + mean=mean) + + # Shape of returned mean and std should be same + assert std.shape == (20,) + + # Output should be the same as from the individual algorithms + std_old = np.std(A, axis=axis, keepdims=False) + + assert_almost_equal(std, std_old) + + def test_std_with_mean_keyword_axis_None(self): + # Setting the seed to make the test reproducible + rng = np.random.RandomState(1234) + A = rng.randn(10, 20, 5) + 0.5 + + axis = None + + mean = np.mean(A, + out=None, + axis=axis, + keepdims=True) + + std = np.std(A, + out=None, + axis=axis, + keepdims=False, + mean=mean) + + # Shape of returned mean and std should be same + assert std.shape == () + + # Output should be the same as from the individual algorithms + std_old = np.std(A, axis=axis, keepdims=False) + + assert_almost_equal(std, std_old) + + def test_std_with_mean_keyword_keepdims_true_masked(self): + + A = ma.array([[2., 3., 4., 5.], + [1., 2., 3., 4.]], + mask=[[True, False, True, False], + [True, False, True, False]]) + + B = ma.array([[100., 3., 104., 5.], + [101., 2., 103., 4.]], + mask=[[True, False, True, False], + [True, False, True, False]]) + + mean_out = ma.array([[0., 0., 0., 0.]], + mask=[[False, False, False, False]]) + std_out = ma.array([[0., 0., 0., 0.]], + mask=[[False, False, False, False]]) + + axis = 0 + + mean = np.mean(A, out=mean_out, + axis=axis, keepdims=True) + + std = np.std(A, out=std_out, + axis=axis, keepdims=True, + mean=mean) + + # Shape of returned mean and std should be same + assert std.shape == mean.shape + assert std.shape == (1, 4) + + # Output should be the same as from the individual algorithms + std_old = np.std(A, axis=axis, keepdims=True) + mean_old = np.mean(A, axis=axis, keepdims=True) + + assert std_old.shape == mean_old.shape + assert_almost_equal(std, std_old) + assert_almost_equal(mean, mean_old) + + assert mean_out is mean + assert std_out is std + + # masked elements should be ignored + mean_b = np.mean(B, axis=axis, keepdims=True) + std_b = np.std(B, axis=axis, keepdims=True, mean=mean_b) + assert_almost_equal(std, std_b) + assert_almost_equal(mean, mean_b) + + def test_var_with_mean_keyword_keepdims_true_masked(self): + + A = ma.array([[2., 3., 4., 5.], + [1., 2., 3., 4.]], + mask=[[True, False, True, False], + [True, False, True, False]]) + + B = ma.array([[100., 3., 104., 5.], + [101., 2., 103., 4.]], + mask=[[True, False, True, False], + [True, False, True, False]]) + + mean_out = ma.array([[0., 0., 0., 0.]], + mask=[[False, False, False, False]]) + var_out = ma.array([[0., 0., 0., 0.]], + mask=[[False, False, False, False]]) + + axis = 0 + + mean = np.mean(A, out=mean_out, + axis=axis, keepdims=True) + + var = np.var(A, out=var_out, + axis=axis, keepdims=True, + mean=mean) + + # Shape of returned mean and var should be same + assert var.shape == mean.shape + assert var.shape == (1, 4) + + # Output should be the same as from the individual algorithms + var_old = np.var(A, axis=axis, keepdims=True) + mean_old = np.mean(A, axis=axis, keepdims=True) + + assert var_old.shape == mean_old.shape + assert_almost_equal(var, var_old) + assert_almost_equal(mean, mean_old) + + assert mean_out is mean + assert var_out is var + + # masked elements should be ignored + mean_b = np.mean(B, axis=axis, keepdims=True) + var_b = np.var(B, axis=axis, keepdims=True, mean=mean_b) + assert_almost_equal(var, var_b) + assert_almost_equal(mean, mean_b) + + +class TestIsscalar: + def test_isscalar(self): + assert_(np.isscalar(3.1)) + assert_(np.isscalar(np.int16(12345))) + assert_(np.isscalar(False)) + assert_(np.isscalar('numpy')) + assert_(not np.isscalar([3.1])) + assert_(not np.isscalar(None)) + + # PEP 3141 + from fractions import Fraction + assert_(np.isscalar(Fraction(5, 17))) + from numbers import Number + assert_(np.isscalar(Number())) + + +class TestBoolScalar: + def test_logical(self): + f = np.False_ + t = np.True_ + s = "xyz" + assert_((t and s) is s) + assert_((f and s) is f) + + def test_bitwise_or(self): + f = np.False_ + t = np.True_ + assert_((t | t) is t) + assert_((f | t) is t) + assert_((t | f) is t) + assert_((f | f) is f) + + def test_bitwise_and(self): + f = np.False_ + t = np.True_ + assert_((t & t) is t) + assert_((f & t) is f) + assert_((t & f) is f) + assert_((f & f) is f) + + def test_bitwise_xor(self): + f = np.False_ + t = np.True_ + assert_((t ^ t) is f) + assert_((f ^ t) is t) + assert_((t ^ f) is t) + assert_((f ^ f) is f) + + +class TestBoolArray: + def setup_method(self): + # offset for simd tests + self.t = np.array([True] * 41, dtype=bool)[1::] + self.f = np.array([False] * 41, dtype=bool)[1::] + self.o = np.array([False] * 42, dtype=bool)[2::] + self.nm = self.f.copy() + self.im = self.t.copy() + self.nm[3] = True + self.nm[-2] = True + self.im[3] = False + self.im[-2] = False + + def test_all_any(self): + assert_(self.t.all()) + assert_(self.t.any()) + assert_(not self.f.all()) + assert_(not self.f.any()) + assert_(self.nm.any()) + assert_(self.im.any()) + assert_(not self.nm.all()) + assert_(not self.im.all()) + # check bad element in all positions + for i in range(256 - 7): + d = np.array([False] * 256, dtype=bool)[7::] + d[i] = True + assert_(np.any(d)) + e = np.array([True] * 256, dtype=bool)[7::] + e[i] = False + assert_(not np.all(e)) + assert_array_equal(e, ~d) + # big array test for blocked libc loops + for i in list(range(9, 6000, 507)) + [7764, 90021, -10]: + d = np.array([False] * 100043, dtype=bool) + d[i] = True + assert_(np.any(d), msg="%r" % i) + e = np.array([True] * 100043, dtype=bool) + e[i] = False + assert_(not np.all(e), msg="%r" % i) + + def test_logical_not_abs(self): + assert_array_equal(~self.t, self.f) + assert_array_equal(np.abs(~self.t), self.f) + assert_array_equal(np.abs(~self.f), self.t) + assert_array_equal(np.abs(self.f), self.f) + assert_array_equal(~np.abs(self.f), self.t) + assert_array_equal(~np.abs(self.t), self.f) + assert_array_equal(np.abs(~self.nm), self.im) + np.logical_not(self.t, out=self.o) + assert_array_equal(self.o, self.f) + np.abs(self.t, out=self.o) + assert_array_equal(self.o, self.t) + + def test_logical_and_or_xor(self): + assert_array_equal(self.t | self.t, self.t) + assert_array_equal(self.f | self.f, self.f) + assert_array_equal(self.t | self.f, self.t) + assert_array_equal(self.f | self.t, self.t) + np.logical_or(self.t, self.t, out=self.o) + assert_array_equal(self.o, self.t) + assert_array_equal(self.t & self.t, self.t) + assert_array_equal(self.f & self.f, self.f) + assert_array_equal(self.t & self.f, self.f) + assert_array_equal(self.f & self.t, self.f) + np.logical_and(self.t, self.t, out=self.o) + assert_array_equal(self.o, self.t) + assert_array_equal(self.t ^ self.t, self.f) + assert_array_equal(self.f ^ self.f, self.f) + assert_array_equal(self.t ^ self.f, self.t) + assert_array_equal(self.f ^ self.t, self.t) + np.logical_xor(self.t, self.t, out=self.o) + assert_array_equal(self.o, self.f) + + assert_array_equal(self.nm & self.t, self.nm) + assert_array_equal(self.im & self.f, False) + assert_array_equal(self.nm & True, self.nm) + assert_array_equal(self.im & False, self.f) + assert_array_equal(self.nm | self.t, self.t) + assert_array_equal(self.im | self.f, self.im) + assert_array_equal(self.nm | True, self.t) + assert_array_equal(self.im | False, self.im) + assert_array_equal(self.nm ^ self.t, self.im) + assert_array_equal(self.im ^ self.f, self.im) + assert_array_equal(self.nm ^ True, self.im) + assert_array_equal(self.im ^ False, self.im) + + +class TestBoolCmp: + def setup_method(self): + self.f = np.ones(256, dtype=np.float32) + self.ef = np.ones(self.f.size, dtype=bool) + self.d = np.ones(128, dtype=np.float64) + self.ed = np.ones(self.d.size, dtype=bool) + # generate values for all permutation of 256bit simd vectors + s = 0 + for i in range(32): + self.f[s:s+8] = [i & 2**x for x in range(8)] + self.ef[s:s+8] = [(i & 2**x) != 0 for x in range(8)] + s += 8 + s = 0 + for i in range(16): + self.d[s:s+4] = [i & 2**x for x in range(4)] + self.ed[s:s+4] = [(i & 2**x) != 0 for x in range(4)] + s += 4 + + self.nf = self.f.copy() + self.nd = self.d.copy() + self.nf[self.ef] = np.nan + self.nd[self.ed] = np.nan + + self.inff = self.f.copy() + self.infd = self.d.copy() + self.inff[::3][self.ef[::3]] = np.inf + self.infd[::3][self.ed[::3]] = np.inf + self.inff[1::3][self.ef[1::3]] = -np.inf + self.infd[1::3][self.ed[1::3]] = -np.inf + self.inff[2::3][self.ef[2::3]] = np.nan + self.infd[2::3][self.ed[2::3]] = np.nan + self.efnonan = self.ef.copy() + self.efnonan[2::3] = False + self.ednonan = self.ed.copy() + self.ednonan[2::3] = False + + self.signf = self.f.copy() + self.signd = self.d.copy() + self.signf[self.ef] *= -1. + self.signd[self.ed] *= -1. + self.signf[1::6][self.ef[1::6]] = -np.inf + self.signd[1::6][self.ed[1::6]] = -np.inf + # On RISC-V, many operations that produce NaNs, such as converting + # a -NaN from f64 to f32, return a canonical NaN. The canonical + # NaNs are always positive. See section 11.3 NaN Generation and + # Propagation of the RISC-V Unprivileged ISA for more details. + # We disable the float32 sign test on riscv64 for -np.nan as the sign + # of the NaN will be lost when it's converted to a float32. + if platform.machine() != 'riscv64': + self.signf[3::6][self.ef[3::6]] = -np.nan + self.signd[3::6][self.ed[3::6]] = -np.nan + self.signf[4::6][self.ef[4::6]] = -0. + self.signd[4::6][self.ed[4::6]] = -0. + + def test_float(self): + # offset for alignment test + for i in range(4): + assert_array_equal(self.f[i:] > 0, self.ef[i:]) + assert_array_equal(self.f[i:] - 1 >= 0, self.ef[i:]) + assert_array_equal(self.f[i:] == 0, ~self.ef[i:]) + assert_array_equal(-self.f[i:] < 0, self.ef[i:]) + assert_array_equal(-self.f[i:] + 1 <= 0, self.ef[i:]) + r = self.f[i:] != 0 + assert_array_equal(r, self.ef[i:]) + r2 = self.f[i:] != np.zeros_like(self.f[i:]) + r3 = 0 != self.f[i:] + assert_array_equal(r, r2) + assert_array_equal(r, r3) + # check bool == 0x1 + assert_array_equal(r.view(np.int8), r.astype(np.int8)) + assert_array_equal(r2.view(np.int8), r2.astype(np.int8)) + assert_array_equal(r3.view(np.int8), r3.astype(np.int8)) + + # isnan on amd64 takes the same code path + assert_array_equal(np.isnan(self.nf[i:]), self.ef[i:]) + assert_array_equal(np.isfinite(self.nf[i:]), ~self.ef[i:]) + assert_array_equal(np.isfinite(self.inff[i:]), ~self.ef[i:]) + assert_array_equal(np.isinf(self.inff[i:]), self.efnonan[i:]) + assert_array_equal(np.signbit(self.signf[i:]), self.ef[i:]) + + def test_double(self): + # offset for alignment test + for i in range(2): + assert_array_equal(self.d[i:] > 0, self.ed[i:]) + assert_array_equal(self.d[i:] - 1 >= 0, self.ed[i:]) + assert_array_equal(self.d[i:] == 0, ~self.ed[i:]) + assert_array_equal(-self.d[i:] < 0, self.ed[i:]) + assert_array_equal(-self.d[i:] + 1 <= 0, self.ed[i:]) + r = self.d[i:] != 0 + assert_array_equal(r, self.ed[i:]) + r2 = self.d[i:] != np.zeros_like(self.d[i:]) + r3 = 0 != self.d[i:] + assert_array_equal(r, r2) + assert_array_equal(r, r3) + # check bool == 0x1 + assert_array_equal(r.view(np.int8), r.astype(np.int8)) + assert_array_equal(r2.view(np.int8), r2.astype(np.int8)) + assert_array_equal(r3.view(np.int8), r3.astype(np.int8)) + + # isnan on amd64 takes the same code path + assert_array_equal(np.isnan(self.nd[i:]), self.ed[i:]) + assert_array_equal(np.isfinite(self.nd[i:]), ~self.ed[i:]) + assert_array_equal(np.isfinite(self.infd[i:]), ~self.ed[i:]) + assert_array_equal(np.isinf(self.infd[i:]), self.ednonan[i:]) + assert_array_equal(np.signbit(self.signd[i:]), self.ed[i:]) + + +class TestSeterr: + def test_default(self): + err = np.geterr() + assert_equal(err, + dict(divide='warn', + invalid='warn', + over='warn', + under='ignore') + ) + + def test_set(self): + with np.errstate(): + err = np.seterr() + old = np.seterr(divide='print') + assert_(err == old) + new = np.seterr() + assert_(new['divide'] == 'print') + np.seterr(over='raise') + assert_(np.geterr()['over'] == 'raise') + assert_(new['divide'] == 'print') + np.seterr(**old) + assert_(np.geterr() == old) + + @pytest.mark.skipif(IS_WASM, reason="no wasm fp exception support") + @pytest.mark.skipif(platform.machine() == "armv5tel", reason="See gh-413.") + def test_divide_err(self): + with np.errstate(divide='raise'): + with assert_raises(FloatingPointError): + np.array([1.]) / np.array([0.]) + + np.seterr(divide='ignore') + np.array([1.]) / np.array([0.]) + + +class TestFloatExceptions: + def assert_raises_fpe(self, fpeerr, flop, x, y): + ftype = type(x) + try: + flop(x, y) + assert_(False, + "Type %s did not raise fpe error '%s'." % (ftype, fpeerr)) + except FloatingPointError as exc: + assert_(str(exc).find(fpeerr) >= 0, + "Type %s raised wrong fpe error '%s'." % (ftype, exc)) + + def assert_op_raises_fpe(self, fpeerr, flop, sc1, sc2): + # Check that fpe exception is raised. + # + # Given a floating operation `flop` and two scalar values, check that + # the operation raises the floating point exception specified by + # `fpeerr`. Tests all variants with 0-d array scalars as well. + + self.assert_raises_fpe(fpeerr, flop, sc1, sc2) + self.assert_raises_fpe(fpeerr, flop, sc1[()], sc2) + self.assert_raises_fpe(fpeerr, flop, sc1, sc2[()]) + self.assert_raises_fpe(fpeerr, flop, sc1[()], sc2[()]) + + # Test for all real and complex float types + @pytest.mark.skipif(IS_WASM, reason="no wasm fp exception support") + @pytest.mark.parametrize("typecode", np.typecodes["AllFloat"]) + def test_floating_exceptions(self, typecode): + if 'bsd' in sys.platform and typecode in 'gG': + pytest.skip(reason="Fallback impl for (c)longdouble may not raise " + "FPE errors as expected on BSD OSes, " + "see gh-24876, gh-23379") + + # Test basic arithmetic function errors + with np.errstate(all='raise'): + ftype = obj2sctype(typecode) + if np.dtype(ftype).kind == 'f': + # Get some extreme values for the type + fi = np.finfo(ftype) + ft_tiny = fi._machar.tiny + ft_max = fi.max + ft_eps = fi.eps + underflow = 'underflow' + divbyzero = 'divide by zero' + else: + # 'c', complex, corresponding real dtype + rtype = type(ftype(0).real) + fi = np.finfo(rtype) + ft_tiny = ftype(fi._machar.tiny) + ft_max = ftype(fi.max) + ft_eps = ftype(fi.eps) + # The complex types raise different exceptions + underflow = '' + divbyzero = '' + overflow = 'overflow' + invalid = 'invalid' + + # The value of tiny for double double is NaN, so we need to + # pass the assert + if not np.isnan(ft_tiny): + self.assert_raises_fpe(underflow, + lambda a, b: a/b, ft_tiny, ft_max) + self.assert_raises_fpe(underflow, + lambda a, b: a*b, ft_tiny, ft_tiny) + self.assert_raises_fpe(overflow, + lambda a, b: a*b, ft_max, ftype(2)) + self.assert_raises_fpe(overflow, + lambda a, b: a/b, ft_max, ftype(0.5)) + self.assert_raises_fpe(overflow, + lambda a, b: a+b, ft_max, ft_max*ft_eps) + self.assert_raises_fpe(overflow, + lambda a, b: a-b, -ft_max, ft_max*ft_eps) + self.assert_raises_fpe(overflow, + np.power, ftype(2), ftype(2**fi.nexp)) + self.assert_raises_fpe(divbyzero, + lambda a, b: a/b, ftype(1), ftype(0)) + self.assert_raises_fpe( + invalid, lambda a, b: a/b, ftype(np.inf), ftype(np.inf) + ) + self.assert_raises_fpe(invalid, + lambda a, b: a/b, ftype(0), ftype(0)) + self.assert_raises_fpe( + invalid, lambda a, b: a-b, ftype(np.inf), ftype(np.inf) + ) + self.assert_raises_fpe( + invalid, lambda a, b: a+b, ftype(np.inf), ftype(-np.inf) + ) + self.assert_raises_fpe(invalid, + lambda a, b: a*b, ftype(0), ftype(np.inf)) + + @pytest.mark.skipif(IS_WASM, reason="no wasm fp exception support") + def test_warnings(self): + # test warning code path + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter("always") + with np.errstate(all="warn"): + np.divide(1, 0.) + assert_equal(len(w), 1) + assert_("divide by zero" in str(w[0].message)) + np.array(1e300) * np.array(1e300) + assert_equal(len(w), 2) + assert_("overflow" in str(w[-1].message)) + np.array(np.inf) - np.array(np.inf) + assert_equal(len(w), 3) + assert_("invalid value" in str(w[-1].message)) + np.array(1e-300) * np.array(1e-300) + assert_equal(len(w), 4) + assert_("underflow" in str(w[-1].message)) + + +class TestTypes: + def check_promotion_cases(self, promote_func): + # tests that the scalars get coerced correctly. + b = np.bool(0) + i8, i16, i32, i64 = np.int8(0), np.int16(0), np.int32(0), np.int64(0) + u8, u16, u32, u64 = np.uint8(0), np.uint16(0), np.uint32(0), np.uint64(0) + f32, f64, fld = np.float32(0), np.float64(0), np.longdouble(0) + c64, c128, cld = np.complex64(0), np.complex128(0), np.clongdouble(0) + + # coercion within the same kind + assert_equal(promote_func(i8, i16), np.dtype(np.int16)) + assert_equal(promote_func(i32, i8), np.dtype(np.int32)) + assert_equal(promote_func(i16, i64), np.dtype(np.int64)) + assert_equal(promote_func(u8, u32), np.dtype(np.uint32)) + assert_equal(promote_func(f32, f64), np.dtype(np.float64)) + assert_equal(promote_func(fld, f32), np.dtype(np.longdouble)) + assert_equal(promote_func(f64, fld), np.dtype(np.longdouble)) + assert_equal(promote_func(c128, c64), np.dtype(np.complex128)) + assert_equal(promote_func(cld, c128), np.dtype(np.clongdouble)) + assert_equal(promote_func(c64, fld), np.dtype(np.clongdouble)) + + # coercion between kinds + assert_equal(promote_func(b, i32), np.dtype(np.int32)) + assert_equal(promote_func(b, u8), np.dtype(np.uint8)) + assert_equal(promote_func(i8, u8), np.dtype(np.int16)) + assert_equal(promote_func(u8, i32), np.dtype(np.int32)) + assert_equal(promote_func(i64, u32), np.dtype(np.int64)) + assert_equal(promote_func(u64, i32), np.dtype(np.float64)) + assert_equal(promote_func(i32, f32), np.dtype(np.float64)) + assert_equal(promote_func(i64, f32), np.dtype(np.float64)) + assert_equal(promote_func(f32, i16), np.dtype(np.float32)) + assert_equal(promote_func(f32, u32), np.dtype(np.float64)) + assert_equal(promote_func(f32, c64), np.dtype(np.complex64)) + assert_equal(promote_func(c128, f32), np.dtype(np.complex128)) + assert_equal(promote_func(cld, f64), np.dtype(np.clongdouble)) + + # coercion between scalars and 1-D arrays + assert_equal(promote_func(np.array([b]), i8), np.dtype(np.int8)) + assert_equal(promote_func(np.array([b]), u8), np.dtype(np.uint8)) + assert_equal(promote_func(np.array([b]), i32), np.dtype(np.int32)) + assert_equal(promote_func(np.array([b]), u32), np.dtype(np.uint32)) + assert_equal(promote_func(np.array([i8]), i64), np.dtype(np.int64)) + # unsigned and signed unfortunately tend to promote to float64: + assert_equal(promote_func(u64, np.array([i32])), np.dtype(np.float64)) + assert_equal(promote_func(i64, np.array([u32])), np.dtype(np.int64)) + assert_equal(promote_func(np.array([u16]), i32), np.dtype(np.int32)) + assert_equal(promote_func(np.int32(-1), np.array([u64])), + np.dtype(np.float64)) + assert_equal(promote_func(f64, np.array([f32])), np.dtype(np.float64)) + assert_equal(promote_func(fld, np.array([f32])), + np.dtype(np.longdouble)) + assert_equal(promote_func(np.array([f64]), fld), + np.dtype(np.longdouble)) + assert_equal(promote_func(fld, np.array([c64])), + np.dtype(np.clongdouble)) + assert_equal(promote_func(c64, np.array([f64])), + np.dtype(np.complex128)) + assert_equal(promote_func(np.complex64(3j), np.array([f64])), + np.dtype(np.complex128)) + assert_equal(promote_func(np.array([f32]), c128), + np.dtype(np.complex128)) + + # coercion between scalars and 1-D arrays, where + # the scalar has greater kind than the array + assert_equal(promote_func(np.array([b]), f64), np.dtype(np.float64)) + assert_equal(promote_func(np.array([b]), i64), np.dtype(np.int64)) + assert_equal(promote_func(np.array([b]), u64), np.dtype(np.uint64)) + assert_equal(promote_func(np.array([i8]), f64), np.dtype(np.float64)) + assert_equal(promote_func(np.array([u16]), f64), np.dtype(np.float64)) + + + def test_coercion(self): + def res_type(a, b): + return np.add(a, b).dtype + + self.check_promotion_cases(res_type) + + # Use-case: float/complex scalar * bool/int8 array + # shouldn't narrow the float/complex type + for a in [np.array([True, False]), np.array([-3, 12], dtype=np.int8)]: + b = 1.234 * a + assert_equal(b.dtype, np.dtype('f8'), "array type %s" % a.dtype) + b = np.longdouble(1.234) * a + assert_equal(b.dtype, np.dtype(np.longdouble), + "array type %s" % a.dtype) + b = np.float64(1.234) * a + assert_equal(b.dtype, np.dtype('f8'), "array type %s" % a.dtype) + b = np.float32(1.234) * a + assert_equal(b.dtype, np.dtype('f4'), "array type %s" % a.dtype) + b = np.float16(1.234) * a + assert_equal(b.dtype, np.dtype('f2'), "array type %s" % a.dtype) + + b = 1.234j * a + assert_equal(b.dtype, np.dtype('c16'), "array type %s" % a.dtype) + b = np.clongdouble(1.234j) * a + assert_equal(b.dtype, np.dtype(np.clongdouble), + "array type %s" % a.dtype) + b = np.complex128(1.234j) * a + assert_equal(b.dtype, np.dtype('c16'), "array type %s" % a.dtype) + b = np.complex64(1.234j) * a + assert_equal(b.dtype, np.dtype('c8'), "array type %s" % a.dtype) + + # The following use-case is problematic, and to resolve its + # tricky side-effects requires more changes. + # + # Use-case: (1-t)*a, where 't' is a boolean array and 'a' is + # a float32, shouldn't promote to float64 + # + # a = np.array([1.0, 1.5], dtype=np.float32) + # t = np.array([True, False]) + # b = t*a + # assert_equal(b, [1.0, 0.0]) + # assert_equal(b.dtype, np.dtype('f4')) + # b = (1-t)*a + # assert_equal(b, [0.0, 1.5]) + # assert_equal(b.dtype, np.dtype('f4')) + # + # Probably ~t (bitwise negation) is more proper to use here, + # but this is arguably less intuitive to understand at a glance, and + # would fail if 't' is actually an integer array instead of boolean: + # + # b = (~t)*a + # assert_equal(b, [0.0, 1.5]) + # assert_equal(b.dtype, np.dtype('f4')) + + def test_result_type(self): + self.check_promotion_cases(np.result_type) + assert_(np.result_type(None) == np.dtype(None)) + + def test_promote_types_endian(self): + # promote_types should always return native-endian types + assert_equal(np.promote_types('i8', '>i8'), np.dtype('i8')) + + assert_equal(np.promote_types('>i8', '>U16'), np.dtype('U21')) + assert_equal(np.promote_types('U16', '>i8'), np.dtype('U21')) + assert_equal(np.promote_types('S5', '>U8'), np.dtype('U8')) + assert_equal(np.promote_types('U8', '>S5'), np.dtype('U8')) + assert_equal(np.promote_types('U8', '>U5'), np.dtype('U8')) + + assert_equal(np.promote_types('M8', '>M8'), np.dtype('M8')) + assert_equal(np.promote_types('m8', '>m8'), np.dtype('m8')) + + def test_can_cast_and_promote_usertypes(self): + # The rational type defines safe casting for signed integers, + # boolean. Rational itself *does* cast safely to double. + # (rational does not actually cast to all signed integers, e.g. + # int64 can be both long and longlong and it registers only the first) + valid_types = ["int8", "int16", "int32", "int64", "bool"] + invalid_types = "BHILQP" + "FDG" + "mM" + "f" + "V" + + rational_dt = np.dtype(rational) + for numpy_dtype in valid_types: + numpy_dtype = np.dtype(numpy_dtype) + assert np.can_cast(numpy_dtype, rational_dt) + assert np.promote_types(numpy_dtype, rational_dt) is rational_dt + + for numpy_dtype in invalid_types: + numpy_dtype = np.dtype(numpy_dtype) + assert not np.can_cast(numpy_dtype, rational_dt) + with pytest.raises(TypeError): + np.promote_types(numpy_dtype, rational_dt) + + double_dt = np.dtype("double") + assert np.can_cast(rational_dt, double_dt) + assert np.promote_types(double_dt, rational_dt) is double_dt + + @pytest.mark.parametrize("swap", ["", "swap"]) + @pytest.mark.parametrize("string_dtype", ["U", "S"]) + def test_promote_types_strings(self, swap, string_dtype): + if swap == "swap": + promote_types = lambda a, b: np.promote_types(b, a) + else: + promote_types = np.promote_types + + S = string_dtype + + # Promote numeric with unsized string: + assert_equal(promote_types('bool', S), np.dtype(S+'5')) + assert_equal(promote_types('b', S), np.dtype(S+'4')) + assert_equal(promote_types('u1', S), np.dtype(S+'3')) + assert_equal(promote_types('u2', S), np.dtype(S+'5')) + assert_equal(promote_types('u4', S), np.dtype(S+'10')) + assert_equal(promote_types('u8', S), np.dtype(S+'20')) + assert_equal(promote_types('i1', S), np.dtype(S+'4')) + assert_equal(promote_types('i2', S), np.dtype(S+'6')) + assert_equal(promote_types('i4', S), np.dtype(S+'11')) + assert_equal(promote_types('i8', S), np.dtype(S+'21')) + # Promote numeric with sized string: + assert_equal(promote_types('bool', S+'1'), np.dtype(S+'5')) + assert_equal(promote_types('bool', S+'30'), np.dtype(S+'30')) + assert_equal(promote_types('b', S+'1'), np.dtype(S+'4')) + assert_equal(promote_types('b', S+'30'), np.dtype(S+'30')) + assert_equal(promote_types('u1', S+'1'), np.dtype(S+'3')) + assert_equal(promote_types('u1', S+'30'), np.dtype(S+'30')) + assert_equal(promote_types('u2', S+'1'), np.dtype(S+'5')) + assert_equal(promote_types('u2', S+'30'), np.dtype(S+'30')) + assert_equal(promote_types('u4', S+'1'), np.dtype(S+'10')) + assert_equal(promote_types('u4', S+'30'), np.dtype(S+'30')) + assert_equal(promote_types('u8', S+'1'), np.dtype(S+'20')) + assert_equal(promote_types('u8', S+'30'), np.dtype(S+'30')) + # Promote with object: + assert_equal(promote_types('O', S+'30'), np.dtype('O')) + + @pytest.mark.parametrize(["dtype1", "dtype2"], + [[np.dtype("V6"), np.dtype("V10")], # mismatch shape + # Mismatching names: + [np.dtype([("name1", "i8")]), np.dtype([("name2", "i8")])], + ]) + def test_invalid_void_promotion(self, dtype1, dtype2): + with pytest.raises(TypeError): + np.promote_types(dtype1, dtype2) + + @pytest.mark.parametrize(["dtype1", "dtype2"], + [[np.dtype("V10"), np.dtype("V10")], + [np.dtype([("name1", "i8")]), + np.dtype([("name1", np.dtype("i8").newbyteorder())])], + [np.dtype("i8,i8"), np.dtype("i8,>i8")], + [np.dtype("i8,i8"), np.dtype("i4,i4")], + ]) + def test_valid_void_promotion(self, dtype1, dtype2): + assert np.promote_types(dtype1, dtype2) == dtype1 + + @pytest.mark.parametrize("dtype", + list(np.typecodes["All"]) + + ["i,i", "10i", "S3", "S100", "U3", "U100", rational]) + def test_promote_identical_types_metadata(self, dtype): + # The same type passed in twice to promote types always + # preserves metadata + metadata = {1: 1} + dtype = np.dtype(dtype, metadata=metadata) + + res = np.promote_types(dtype, dtype) + assert res.metadata == dtype.metadata + + # byte-swapping preserves and makes the dtype native: + dtype = dtype.newbyteorder() + if dtype.isnative: + # The type does not have byte swapping + return + + res = np.promote_types(dtype, dtype) + + # Metadata is (currently) generally lost on byte-swapping (except for + # unicode. + if dtype.char != "U": + assert res.metadata is None + else: + assert res.metadata == metadata + assert res.isnative + + @pytest.mark.slow + @pytest.mark.filterwarnings('ignore:Promotion of numbers:FutureWarning') + @pytest.mark.parametrize(["dtype1", "dtype2"], + itertools.product( + list(np.typecodes["All"]) + + ["i,i", "S3", "S100", "U3", "U100", rational], + repeat=2)) + def test_promote_types_metadata(self, dtype1, dtype2): + """Metadata handling in promotion does not appear formalized + right now in NumPy. This test should thus be considered to + document behaviour, rather than test the correct definition of it. + + This test is very ugly, it was useful for rewriting part of the + promotion, but probably should eventually be replaced/deleted + (i.e. when metadata handling in promotion is better defined). + """ + metadata1 = {1: 1} + metadata2 = {2: 2} + dtype1 = np.dtype(dtype1, metadata=metadata1) + dtype2 = np.dtype(dtype2, metadata=metadata2) + + try: + res = np.promote_types(dtype1, dtype2) + except TypeError: + # Promotion failed, this test only checks metadata + return + + if res.char not in "USV" or res.names is not None or res.shape != (): + # All except string dtypes (and unstructured void) lose metadata + # on promotion (unless both dtypes are identical). + # At some point structured ones did not, but were restrictive. + assert res.metadata is None + elif res == dtype1: + # If one result is the result, it is usually returned unchanged: + assert res is dtype1 + elif res == dtype2: + # dtype1 may have been cast to the same type/kind as dtype2. + # If the resulting dtype is identical we currently pick the cast + # version of dtype1, which lost the metadata: + if np.promote_types(dtype1, dtype2.kind) == dtype2: + res.metadata is None + else: + res.metadata == metadata2 + else: + assert res.metadata is None + + # Try again for byteswapped version + dtype1 = dtype1.newbyteorder() + assert dtype1.metadata == metadata1 + res_bs = np.promote_types(dtype1, dtype2) + assert res_bs == res + assert res_bs.metadata == res.metadata + + def test_can_cast(self): + assert_(np.can_cast(np.int32, np.int64)) + assert_(np.can_cast(np.float64, complex)) + assert_(not np.can_cast(complex, float)) + + assert_(np.can_cast('i8', 'f8')) + assert_(not np.can_cast('i8', 'f4')) + assert_(np.can_cast('i4', 'S11')) + + assert_(np.can_cast('i8', 'i8', 'no')) + assert_(not np.can_cast('i8', 'no')) + + assert_(np.can_cast('i8', 'equiv')) + assert_(not np.can_cast('i8', 'equiv')) + + assert_(np.can_cast('i8', 'safe')) + assert_(not np.can_cast('i4', 'safe')) + + assert_(np.can_cast('i4', 'same_kind')) + assert_(not np.can_cast('u4', 'same_kind')) + + assert_(np.can_cast('u4', 'unsafe')) + + assert_(np.can_cast('bool', 'S5')) + assert_(not np.can_cast('bool', 'S4')) + + assert_(np.can_cast('b', 'S4')) + assert_(not np.can_cast('b', 'S3')) + + assert_(np.can_cast('u1', 'S3')) + assert_(not np.can_cast('u1', 'S2')) + assert_(np.can_cast('u2', 'S5')) + assert_(not np.can_cast('u2', 'S4')) + assert_(np.can_cast('u4', 'S10')) + assert_(not np.can_cast('u4', 'S9')) + assert_(np.can_cast('u8', 'S20')) + assert_(not np.can_cast('u8', 'S19')) + + assert_(np.can_cast('i1', 'S4')) + assert_(not np.can_cast('i1', 'S3')) + assert_(np.can_cast('i2', 'S6')) + assert_(not np.can_cast('i2', 'S5')) + assert_(np.can_cast('i4', 'S11')) + assert_(not np.can_cast('i4', 'S10')) + assert_(np.can_cast('i8', 'S21')) + assert_(not np.can_cast('i8', 'S20')) + + assert_(np.can_cast('bool', 'S5')) + assert_(not np.can_cast('bool', 'S4')) + + assert_(np.can_cast('b', 'U4')) + assert_(not np.can_cast('b', 'U3')) + + assert_(np.can_cast('u1', 'U3')) + assert_(not np.can_cast('u1', 'U2')) + assert_(np.can_cast('u2', 'U5')) + assert_(not np.can_cast('u2', 'U4')) + assert_(np.can_cast('u4', 'U10')) + assert_(not np.can_cast('u4', 'U9')) + assert_(np.can_cast('u8', 'U20')) + assert_(not np.can_cast('u8', 'U19')) + + assert_(np.can_cast('i1', 'U4')) + assert_(not np.can_cast('i1', 'U3')) + assert_(np.can_cast('i2', 'U6')) + assert_(not np.can_cast('i2', 'U5')) + assert_(np.can_cast('i4', 'U11')) + assert_(not np.can_cast('i4', 'U10')) + assert_(np.can_cast('i8', 'U21')) + assert_(not np.can_cast('i8', 'U20')) + + assert_raises(TypeError, np.can_cast, 'i4', None) + assert_raises(TypeError, np.can_cast, None, 'i4') + + # Also test keyword arguments + assert_(np.can_cast(from_=np.int32, to=np.int64)) + + def test_can_cast_simple_to_structured(self): + # Non-structured can only be cast to structured in 'unsafe' mode. + assert_(not np.can_cast('i4', 'i4,i4')) + assert_(not np.can_cast('i4', 'i4,i2')) + assert_(np.can_cast('i4', 'i4,i4', casting='unsafe')) + assert_(np.can_cast('i4', 'i4,i2', casting='unsafe')) + # Even if there is just a single field which is OK. + assert_(not np.can_cast('i2', [('f1', 'i4')])) + assert_(not np.can_cast('i2', [('f1', 'i4')], casting='same_kind')) + assert_(np.can_cast('i2', [('f1', 'i4')], casting='unsafe')) + # It should be the same for recursive structured or subarrays. + assert_(not np.can_cast('i2', [('f1', 'i4,i4')])) + assert_(np.can_cast('i2', [('f1', 'i4,i4')], casting='unsafe')) + assert_(not np.can_cast('i2', [('f1', '(2,3)i4')])) + assert_(np.can_cast('i2', [('f1', '(2,3)i4')], casting='unsafe')) + + def test_can_cast_structured_to_simple(self): + # Need unsafe casting for structured to simple. + assert_(not np.can_cast([('f1', 'i4')], 'i4')) + assert_(np.can_cast([('f1', 'i4')], 'i4', casting='unsafe')) + assert_(np.can_cast([('f1', 'i4')], 'i2', casting='unsafe')) + # Since it is unclear what is being cast, multiple fields to + # single should not work even for unsafe casting. + assert_(not np.can_cast('i4,i4', 'i4', casting='unsafe')) + # But a single field inside a single field is OK. + assert_(not np.can_cast([('f1', [('x', 'i4')])], 'i4')) + assert_(np.can_cast([('f1', [('x', 'i4')])], 'i4', casting='unsafe')) + # And a subarray is fine too - it will just take the first element + # (arguably not very consistently; might also take the first field). + assert_(not np.can_cast([('f0', '(3,)i4')], 'i4')) + assert_(np.can_cast([('f0', '(3,)i4')], 'i4', casting='unsafe')) + # But a structured subarray with multiple fields should fail. + assert_(not np.can_cast([('f0', ('i4,i4'), (2,))], 'i4', + casting='unsafe')) + + def test_can_cast_values(self): + # With NumPy 2 and NEP 50, can_cast errors on Python scalars. We could + # define this as (usually safe) at some point, and already do so + # in `copyto` and ufuncs (but there an error is raised if the integer + # is out of bounds and a warning for out-of-bound floats). + # Raises even for unsafe, previously checked within range (for floats + # that was approximately whether it would overflow to inf). + with pytest.raises(TypeError): + np.can_cast(4, "int8", casting="unsafe") + + with pytest.raises(TypeError): + np.can_cast(4.0, "float64", casting="unsafe") + + with pytest.raises(TypeError): + np.can_cast(4j, "complex128", casting="unsafe") + + + @pytest.mark.parametrize("dtype", + list("?bhilqBHILQefdgFDG") + [rational]) + def test_can_cast_scalars(self, dtype): + # Basic test to ensure that scalars are supported in can-cast + # (does not check behavior exhaustively). + dtype = np.dtype(dtype) + scalar = dtype.type(0) + + assert np.can_cast(scalar, "int64") == np.can_cast(dtype, "int64") + assert np.can_cast(scalar, "float32", casting="unsafe") + + +# Custom exception class to test exception propagation in fromiter +class NIterError(Exception): + pass + + +class TestFromiter: + def makegen(self): + return (x**2 for x in range(24)) + + def test_types(self): + ai32 = np.fromiter(self.makegen(), np.int32) + ai64 = np.fromiter(self.makegen(), np.int64) + af = np.fromiter(self.makegen(), float) + assert_(ai32.dtype == np.dtype(np.int32)) + assert_(ai64.dtype == np.dtype(np.int64)) + assert_(af.dtype == np.dtype(float)) + + def test_lengths(self): + expected = np.array(list(self.makegen())) + a = np.fromiter(self.makegen(), int) + a20 = np.fromiter(self.makegen(), int, 20) + assert_(len(a) == len(expected)) + assert_(len(a20) == 20) + assert_raises(ValueError, np.fromiter, + self.makegen(), int, len(expected) + 10) + + def test_values(self): + expected = np.array(list(self.makegen())) + a = np.fromiter(self.makegen(), int) + a20 = np.fromiter(self.makegen(), int, 20) + assert_(np.all(a == expected, axis=0)) + assert_(np.all(a20 == expected[:20], axis=0)) + + def load_data(self, n, eindex): + # Utility method for the issue 2592 tests. + # Raise an exception at the desired index in the iterator. + for e in range(n): + if e == eindex: + raise NIterError('error at index %s' % eindex) + yield e + + @pytest.mark.parametrize("dtype", [int, object]) + @pytest.mark.parametrize(["count", "error_index"], [(10, 5), (10, 9)]) + def test_2592(self, count, error_index, dtype): + # Test iteration exceptions are correctly raised. The data/generator + # has `count` elements but errors at `error_index` + iterable = self.load_data(count, error_index) + with pytest.raises(NIterError): + np.fromiter(iterable, dtype=dtype, count=count) + + @pytest.mark.parametrize("dtype", ["S", "S0", "V0", "U0"]) + def test_empty_not_structured(self, dtype): + # Note, "S0" could be allowed at some point, so long "S" (without + # any length) is rejected. + with pytest.raises(ValueError, match="Must specify length"): + np.fromiter([], dtype=dtype) + + @pytest.mark.parametrize(["dtype", "data"], + [("d", [1, 2, 3, 4, 5, 6, 7, 8, 9]), + ("O", [1, 2, 3, 4, 5, 6, 7, 8, 9]), + ("i,O", [(1, 2), (5, 4), (2, 3), (9, 8), (6, 7)]), + # subarray dtypes (important because their dimensions end up + # in the result arrays dimension: + ("2i", [(1, 2), (5, 4), (2, 3), (9, 8), (6, 7)]), + (np.dtype(("O", (2, 3))), + [((1, 2, 3), (3, 4, 5)), ((3, 2, 1), (5, 4, 3))])]) + @pytest.mark.parametrize("length_hint", [0, 1]) + def test_growth_and_complicated_dtypes(self, dtype, data, length_hint): + dtype = np.dtype(dtype) + + data = data * 100 # make sure we realloc a bit + + class MyIter: + # Class/example from gh-15789 + def __length_hint__(self): + # only required to be an estimate, this is legal + return length_hint # 0 or 1 + + def __iter__(self): + return iter(data) + + res = np.fromiter(MyIter(), dtype=dtype) + expected = np.array(data, dtype=dtype) + + assert_array_equal(res, expected) + + def test_empty_result(self): + class MyIter: + def __length_hint__(self): + return 10 + + def __iter__(self): + return iter([]) # actual iterator is empty. + + res = np.fromiter(MyIter(), dtype="d") + assert res.shape == (0,) + assert res.dtype == "d" + + def test_too_few_items(self): + msg = "iterator too short: Expected 10 but iterator had only 3 items." + with pytest.raises(ValueError, match=msg): + np.fromiter([1, 2, 3], count=10, dtype=int) + + def test_failed_itemsetting(self): + with pytest.raises(TypeError): + np.fromiter([1, None, 3], dtype=int) + + # The following manages to hit somewhat trickier code paths: + iterable = ((2, 3, 4) for i in range(5)) + with pytest.raises(ValueError): + np.fromiter(iterable, dtype=np.dtype((int, 2))) + +class TestNonzero: + def test_nonzero_trivial(self): + assert_equal(np.count_nonzero(np.array([])), 0) + assert_equal(np.count_nonzero(np.array([], dtype='?')), 0) + assert_equal(np.nonzero(np.array([])), ([],)) + + assert_equal(np.count_nonzero(np.array([0])), 0) + assert_equal(np.count_nonzero(np.array([0], dtype='?')), 0) + assert_equal(np.nonzero(np.array([0])), ([],)) + + assert_equal(np.count_nonzero(np.array([1])), 1) + assert_equal(np.count_nonzero(np.array([1], dtype='?')), 1) + assert_equal(np.nonzero(np.array([1])), ([0],)) + + def test_nonzero_zerodim(self): + err_msg = "Calling nonzero on 0d arrays is not allowed" + with assert_raises_regex(ValueError, err_msg): + np.nonzero(np.array(0)) + with assert_raises_regex(ValueError, err_msg): + np.array(1).nonzero() + + def test_nonzero_onedim(self): + x = np.array([1, 0, 2, -1, 0, 0, 8]) + assert_equal(np.count_nonzero(x), 4) + assert_equal(np.count_nonzero(x), 4) + assert_equal(np.nonzero(x), ([0, 2, 3, 6],)) + + # x = np.array([(1, 2), (0, 0), (1, 1), (-1, 3), (0, 7)], + # dtype=[('a', 'i4'), ('b', 'i2')]) + x = np.array([(1, 2, -5, -3), (0, 0, 2, 7), (1, 1, 0, 1), (-1, 3, 1, 0), (0, 7, 0, 4)], + dtype=[('a', 'i4'), ('b', 'i2'), ('c', 'i1'), ('d', 'i8')]) + assert_equal(np.count_nonzero(x['a']), 3) + assert_equal(np.count_nonzero(x['b']), 4) + assert_equal(np.count_nonzero(x['c']), 3) + assert_equal(np.count_nonzero(x['d']), 4) + assert_equal(np.nonzero(x['a']), ([0, 2, 3],)) + assert_equal(np.nonzero(x['b']), ([0, 2, 3, 4],)) + + def test_nonzero_twodim(self): + x = np.array([[0, 1, 0], [2, 0, 3]]) + assert_equal(np.count_nonzero(x.astype('i1')), 3) + assert_equal(np.count_nonzero(x.astype('i2')), 3) + assert_equal(np.count_nonzero(x.astype('i4')), 3) + assert_equal(np.count_nonzero(x.astype('i8')), 3) + assert_equal(np.nonzero(x), ([0, 1, 1], [1, 0, 2])) + + x = np.eye(3) + assert_equal(np.count_nonzero(x.astype('i1')), 3) + assert_equal(np.count_nonzero(x.astype('i2')), 3) + assert_equal(np.count_nonzero(x.astype('i4')), 3) + assert_equal(np.count_nonzero(x.astype('i8')), 3) + assert_equal(np.nonzero(x), ([0, 1, 2], [0, 1, 2])) + + x = np.array([[(0, 1), (0, 0), (1, 11)], + [(1, 1), (1, 0), (0, 0)], + [(0, 0), (1, 5), (0, 1)]], dtype=[('a', 'f4'), ('b', 'u1')]) + assert_equal(np.count_nonzero(x['a']), 4) + assert_equal(np.count_nonzero(x['b']), 5) + assert_equal(np.nonzero(x['a']), ([0, 1, 1, 2], [2, 0, 1, 1])) + assert_equal(np.nonzero(x['b']), ([0, 0, 1, 2, 2], [0, 2, 0, 1, 2])) + + assert_(not x['a'].T.flags.aligned) + assert_equal(np.count_nonzero(x['a'].T), 4) + assert_equal(np.count_nonzero(x['b'].T), 5) + assert_equal(np.nonzero(x['a'].T), ([0, 1, 1, 2], [1, 1, 2, 0])) + assert_equal(np.nonzero(x['b'].T), ([0, 0, 1, 2, 2], [0, 1, 2, 0, 2])) + + def test_sparse(self): + # test special sparse condition boolean code path + for i in range(20): + c = np.zeros(200, dtype=bool) + c[i::20] = True + assert_equal(np.nonzero(c)[0], np.arange(i, 200 + i, 20)) + + c = np.zeros(400, dtype=bool) + c[10 + i:20 + i] = True + c[20 + i*2] = True + assert_equal(np.nonzero(c)[0], + np.concatenate((np.arange(10 + i, 20 + i), [20 + i*2]))) + + @pytest.mark.parametrize('dtype', [np.float32, np.float64]) + def test_nonzero_float_dtypes(self, dtype): + rng = np.random.default_rng(seed=10) + x = ((2**33)*rng.normal(size=100)).astype(dtype) + x[rng.choice(50, size=100)] = 0 + idxs = np.nonzero(x)[0] + assert_equal(np.array_equal(np.where(x != 0)[0], idxs), True) + + @pytest.mark.parametrize('dtype', [bool, np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64]) + def test_nonzero_integer_dtypes(self, dtype): + rng = np.random.default_rng(seed=10) + x = rng.integers(0, 255, size=100).astype(dtype) + x[rng.choice(50, size=100)] = 0 + idxs = np.nonzero(x)[0] + assert_equal(np.array_equal(np.where(x != 0)[0], idxs), True) + + def test_return_type(self): + class C(np.ndarray): + pass + + for view in (C, np.ndarray): + for nd in range(1, 4): + shape = tuple(range(2, 2+nd)) + x = np.arange(np.prod(shape)).reshape(shape).view(view) + for nzx in (np.nonzero(x), x.nonzero()): + for nzx_i in nzx: + assert_(type(nzx_i) is np.ndarray) + assert_(nzx_i.flags.writeable) + + def test_count_nonzero_axis(self): + # Basic check of functionality + m = np.array([[0, 1, 7, 0, 0], [3, 0, 0, 2, 19]]) + + expected = np.array([1, 1, 1, 1, 1]) + assert_equal(np.count_nonzero(m, axis=0), expected) + + expected = np.array([2, 3]) + assert_equal(np.count_nonzero(m, axis=1), expected) + + assert_raises(ValueError, np.count_nonzero, m, axis=(1, 1)) + assert_raises(TypeError, np.count_nonzero, m, axis='foo') + assert_raises(AxisError, np.count_nonzero, m, axis=3) + assert_raises(TypeError, np.count_nonzero, + m, axis=np.array([[1], [2]])) + + def test_count_nonzero_axis_all_dtypes(self): + # More thorough test that the axis argument is respected + # for all dtypes and responds correctly when presented with + # either integer or tuple arguments for axis + msg = "Mismatch for dtype: %s" + + def assert_equal_w_dt(a, b, err_msg): + assert_equal(a.dtype, b.dtype, err_msg=err_msg) + assert_equal(a, b, err_msg=err_msg) + + for dt in np.typecodes['All']: + err_msg = msg % (np.dtype(dt).name,) + + if dt != 'V': + if dt != 'M': + m = np.zeros((3, 3), dtype=dt) + n = np.ones(1, dtype=dt) + + m[0, 0] = n[0] + m[1, 0] = n[0] + + else: # np.zeros doesn't work for np.datetime64 + m = np.array(['1970-01-01'] * 9) + m = m.reshape((3, 3)) + + m[0, 0] = '1970-01-12' + m[1, 0] = '1970-01-12' + m = m.astype(dt) + + expected = np.array([2, 0, 0], dtype=np.intp) + assert_equal_w_dt(np.count_nonzero(m, axis=0), + expected, err_msg=err_msg) + + expected = np.array([1, 1, 0], dtype=np.intp) + assert_equal_w_dt(np.count_nonzero(m, axis=1), + expected, err_msg=err_msg) + + expected = np.array(2) + assert_equal(np.count_nonzero(m, axis=(0, 1)), + expected, err_msg=err_msg) + assert_equal(np.count_nonzero(m, axis=None), + expected, err_msg=err_msg) + assert_equal(np.count_nonzero(m), + expected, err_msg=err_msg) + + if dt == 'V': + # There are no 'nonzero' objects for np.void, so the testing + # setup is slightly different for this dtype + m = np.array([np.void(1)] * 6).reshape((2, 3)) + + expected = np.array([0, 0, 0], dtype=np.intp) + assert_equal_w_dt(np.count_nonzero(m, axis=0), + expected, err_msg=err_msg) + + expected = np.array([0, 0], dtype=np.intp) + assert_equal_w_dt(np.count_nonzero(m, axis=1), + expected, err_msg=err_msg) + + expected = np.array(0) + assert_equal(np.count_nonzero(m, axis=(0, 1)), + expected, err_msg=err_msg) + assert_equal(np.count_nonzero(m, axis=None), + expected, err_msg=err_msg) + assert_equal(np.count_nonzero(m), + expected, err_msg=err_msg) + + def test_count_nonzero_axis_consistent(self): + # Check that the axis behaviour for valid axes in + # non-special cases is consistent (and therefore + # correct) by checking it against an integer array + # that is then casted to the generic object dtype + from itertools import combinations, permutations + + axis = (0, 1, 2, 3) + size = (5, 5, 5, 5) + msg = "Mismatch for axis: %s" + + rng = np.random.RandomState(1234) + m = rng.randint(-100, 100, size=size) + n = m.astype(object) + + for length in range(len(axis)): + for combo in combinations(axis, length): + for perm in permutations(combo): + assert_equal( + np.count_nonzero(m, axis=perm), + np.count_nonzero(n, axis=perm), + err_msg=msg % (perm,)) + + def test_countnonzero_axis_empty(self): + a = np.array([[0, 0, 1], [1, 0, 1]]) + assert_equal(np.count_nonzero(a, axis=()), a.astype(bool)) + + def test_countnonzero_keepdims(self): + a = np.array([[0, 0, 1, 0], + [0, 3, 5, 0], + [7, 9, 2, 0]]) + assert_equal(np.count_nonzero(a, axis=0, keepdims=True), + [[1, 2, 3, 0]]) + assert_equal(np.count_nonzero(a, axis=1, keepdims=True), + [[1], [2], [3]]) + assert_equal(np.count_nonzero(a, keepdims=True), + [[6]]) + + def test_array_method(self): + # Tests that the array method + # call to nonzero works + m = np.array([[1, 0, 0], [4, 0, 6]]) + tgt = [[0, 1, 1], [0, 0, 2]] + + assert_equal(m.nonzero(), tgt) + + def test_nonzero_invalid_object(self): + # gh-9295 + a = np.array([np.array([1, 2]), 3], dtype=object) + assert_raises(ValueError, np.nonzero, a) + + class BoolErrors: + def __bool__(self): + raise ValueError("Not allowed") + + assert_raises(ValueError, np.nonzero, np.array([BoolErrors()])) + + def test_nonzero_sideeffect_safety(self): + # gh-13631 + class FalseThenTrue: + _val = False + def __bool__(self): + try: + return self._val + finally: + self._val = True + + class TrueThenFalse: + _val = True + def __bool__(self): + try: + return self._val + finally: + self._val = False + + # result grows on the second pass + a = np.array([True, FalseThenTrue()]) + assert_raises(RuntimeError, np.nonzero, a) + + a = np.array([[True], [FalseThenTrue()]]) + assert_raises(RuntimeError, np.nonzero, a) + + # result shrinks on the second pass + a = np.array([False, TrueThenFalse()]) + assert_raises(RuntimeError, np.nonzero, a) + + a = np.array([[False], [TrueThenFalse()]]) + assert_raises(RuntimeError, np.nonzero, a) + + def test_nonzero_sideffects_structured_void(self): + # Checks that structured void does not mutate alignment flag of + # original array. + arr = np.zeros(5, dtype="i1,i8,i8") # `ones` may short-circuit + assert arr.flags.aligned # structs are considered "aligned" + assert not arr["f2"].flags.aligned + # make sure that nonzero/count_nonzero do not flip the flag: + np.nonzero(arr) + assert arr.flags.aligned + np.count_nonzero(arr) + assert arr.flags.aligned + + def test_nonzero_exception_safe(self): + # gh-13930 + + class ThrowsAfter: + def __init__(self, iters): + self.iters_left = iters + + def __bool__(self): + if self.iters_left == 0: + raise ValueError("called `iters` times") + + self.iters_left -= 1 + return True + + """ + Test that a ValueError is raised instead of a SystemError + + If the __bool__ function is called after the error state is set, + Python (cpython) will raise a SystemError. + """ + + # assert that an exception in first pass is handled correctly + a = np.array([ThrowsAfter(5)]*10) + assert_raises(ValueError, np.nonzero, a) + + # raise exception in second pass for 1-dimensional loop + a = np.array([ThrowsAfter(15)]*10) + assert_raises(ValueError, np.nonzero, a) + + # raise exception in second pass for n-dimensional loop + a = np.array([[ThrowsAfter(15)]]*10) + assert_raises(ValueError, np.nonzero, a) + + @pytest.mark.skipif(IS_WASM, reason="wasm doesn't have threads") + def test_structured_threadsafety(self): + # Nonzero (and some other functions) should be threadsafe for + # structured datatypes, see gh-15387. This test can behave randomly. + from concurrent.futures import ThreadPoolExecutor + + # Create a deeply nested dtype to make a failure more likely: + dt = np.dtype([("", "f8")]) + dt = np.dtype([("", dt)]) + dt = np.dtype([("", dt)] * 2) + # The array should be large enough to likely run into threading issues + arr = np.random.uniform(size=(5000, 4)).view(dt)[:, 0] + def func(arr): + arr.nonzero() + + tpe = ThreadPoolExecutor(max_workers=8) + futures = [tpe.submit(func, arr) for _ in range(10)] + for f in futures: + f.result() + + assert arr.dtype is dt + + +class TestIndex: + def test_boolean(self): + a = rand(3, 5, 8) + V = rand(5, 8) + g1 = randint(0, 5, size=15) + g2 = randint(0, 8, size=15) + V[g1, g2] = -V[g1, g2] + assert_((np.array([a[0][V > 0], a[1][V > 0], a[2][V > 0]]) == a[:, V > 0]).all()) + + def test_boolean_edgecase(self): + a = np.array([], dtype='int32') + b = np.array([], dtype='bool') + c = a[b] + assert_equal(c, []) + assert_equal(c.dtype, np.dtype('int32')) + + +class TestBinaryRepr: + def test_zero(self): + assert_equal(np.binary_repr(0), '0') + + def test_positive(self): + assert_equal(np.binary_repr(10), '1010') + assert_equal(np.binary_repr(12522), + '11000011101010') + assert_equal(np.binary_repr(10736848), + '101000111101010011010000') + + def test_negative(self): + assert_equal(np.binary_repr(-1), '-1') + assert_equal(np.binary_repr(-10), '-1010') + assert_equal(np.binary_repr(-12522), + '-11000011101010') + assert_equal(np.binary_repr(-10736848), + '-101000111101010011010000') + + def test_sufficient_width(self): + assert_equal(np.binary_repr(0, width=5), '00000') + assert_equal(np.binary_repr(10, width=7), '0001010') + assert_equal(np.binary_repr(-5, width=7), '1111011') + + def test_neg_width_boundaries(self): + # see gh-8670 + + # Ensure that the example in the issue does not + # break before proceeding to a more thorough test. + assert_equal(np.binary_repr(-128, width=8), '10000000') + + for width in range(1, 11): + num = -2**(width - 1) + exp = '1' + (width - 1) * '0' + assert_equal(np.binary_repr(num, width=width), exp) + + def test_large_neg_int64(self): + # See gh-14289. + assert_equal(np.binary_repr(np.int64(-2**62), width=64), + '11' + '0'*62) + + +class TestBaseRepr: + def test_base3(self): + assert_equal(np.base_repr(3**5, 3), '100000') + + def test_positive(self): + assert_equal(np.base_repr(12, 10), '12') + assert_equal(np.base_repr(12, 10, 4), '000012') + assert_equal(np.base_repr(12, 4), '30') + assert_equal(np.base_repr(3731624803700888, 36), '10QR0ROFCEW') + + def test_negative(self): + assert_equal(np.base_repr(-12, 10), '-12') + assert_equal(np.base_repr(-12, 10, 4), '-000012') + assert_equal(np.base_repr(-12, 4), '-30') + + def test_base_range(self): + with assert_raises(ValueError): + np.base_repr(1, 1) + with assert_raises(ValueError): + np.base_repr(1, 37) + + def test_minimal_signed_int(self): + assert_equal(np.base_repr(np.int8(-128)), '-10000000') + + +def _test_array_equal_parametrizations(): + """ + we pre-create arrays as we sometime want to pass the same instance + and sometime not. Passing the same instances may not mean the array are + equal, especially when containing None + """ + # those are 0-d arrays, it used to be a special case + # where (e0 == e0).all() would raise + e0 = np.array(0, dtype="int") + e1 = np.array(1, dtype="float") + # x,y, nan_equal, expected_result + yield (e0, e0.copy(), None, True) + yield (e0, e0.copy(), False, True) + yield (e0, e0.copy(), True, True) + + # + yield (e1, e1.copy(), None, True) + yield (e1, e1.copy(), False, True) + yield (e1, e1.copy(), True, True) + + # Non-nanable – those cannot hold nans + a12 = np.array([1, 2]) + a12b = a12.copy() + a123 = np.array([1, 2, 3]) + a13 = np.array([1, 3]) + a34 = np.array([3, 4]) + + aS1 = np.array(["a"], dtype="S1") + aS1b = aS1.copy() + aS1u4 = np.array([("a", 1)], dtype="S1,u4") + aS1u4b = aS1u4.copy() + + yield (a12, a12b, None, True) + yield (a12, a12, None, True) + yield (a12, a123, None, False) + yield (a12, a34, None, False) + yield (a12, a13, None, False) + yield (aS1, aS1b, None, True) + yield (aS1, aS1, None, True) + + # Non-float dtype - equal_nan should have no effect, + yield (a123, a123, None, True) + yield (a123, a123, False, True) + yield (a123, a123, True, True) + yield (a123, a123.copy(), None, True) + yield (a123, a123.copy(), False, True) + yield (a123, a123.copy(), True, True) + yield (a123.astype("float"), a123.astype("float"), None, True) + yield (a123.astype("float"), a123.astype("float"), False, True) + yield (a123.astype("float"), a123.astype("float"), True, True) + + # these can hold None + b1 = np.array([1, 2, np.nan]) + b2 = np.array([1, np.nan, 2]) + b3 = np.array([1, 2, np.inf]) + b4 = np.array(np.nan) + + # instances are the same + yield (b1, b1, None, False) + yield (b1, b1, False, False) + yield (b1, b1, True, True) + + # equal but not same instance + yield (b1, b1.copy(), None, False) + yield (b1, b1.copy(), False, False) + yield (b1, b1.copy(), True, True) + + # same once stripped of Nan + yield (b1, b2, None, False) + yield (b1, b2, False, False) + yield (b1, b2, True, False) + + # nan's not conflated with inf's + yield (b1, b3, None, False) + yield (b1, b3, False, False) + yield (b1, b3, True, False) + + # all Nan + yield (b4, b4, None, False) + yield (b4, b4, False, False) + yield (b4, b4, True, True) + yield (b4, b4.copy(), None, False) + yield (b4, b4.copy(), False, False) + yield (b4, b4.copy(), True, True) + + t1 = b1.astype("timedelta64") + t2 = b2.astype("timedelta64") + + # Timedeltas are particular + yield (t1, t1, None, False) + yield (t1, t1, False, False) + yield (t1, t1, True, True) + + yield (t1, t1.copy(), None, False) + yield (t1, t1.copy(), False, False) + yield (t1, t1.copy(), True, True) + + yield (t1, t2, None, False) + yield (t1, t2, False, False) + yield (t1, t2, True, False) + + # Multi-dimensional array + md1 = np.array([[0, 1], [np.nan, 1]]) + + yield (md1, md1, None, False) + yield (md1, md1, False, False) + yield (md1, md1, True, True) + yield (md1, md1.copy(), None, False) + yield (md1, md1.copy(), False, False) + yield (md1, md1.copy(), True, True) + # both complexes are nan+nan.j but the same instance + cplx1, cplx2 = [np.array([np.nan + np.nan * 1j])] * 2 + + # only real or img are nan. + cplx3, cplx4 = np.complex64(1, np.nan), np.complex64(np.nan, 1) + + # Complex values + yield (cplx1, cplx2, None, False) + yield (cplx1, cplx2, False, False) + yield (cplx1, cplx2, True, True) + + # Complex values, 1+nan, nan+1j + yield (cplx3, cplx4, None, False) + yield (cplx3, cplx4, False, False) + yield (cplx3, cplx4, True, True) + + +class TestArrayComparisons: + @pytest.mark.parametrize( + "bx,by,equal_nan,expected", _test_array_equal_parametrizations() + ) + def test_array_equal_equal_nan(self, bx, by, equal_nan, expected): + """ + This test array_equal for a few combinations: + + - are the two inputs the same object or not (same object may not + be equal if contains NaNs) + - Whether we should consider or not, NaNs, being equal. + + """ + if equal_nan is None: + res = np.array_equal(bx, by) + else: + res = np.array_equal(bx, by, equal_nan=equal_nan) + assert_(res is expected) + assert_(type(res) is bool) + + def test_array_equal_different_scalar_types(self): + # https://github.com/numpy/numpy/issues/27271 + a = np.array("foo") + b = np.array(1) + assert not np.array_equal(a, b) + assert not np.array_equiv(a, b) + + def test_none_compares_elementwise(self): + a = np.array([None, 1, None], dtype=object) + assert_equal(a == None, [True, False, True]) # noqa: E711 + assert_equal(a != None, [False, True, False]) # noqa: E711 + + a = np.ones(3) + assert_equal(a == None, [False, False, False]) # noqa: E711 + assert_equal(a != None, [True, True, True]) # noqa: E711 + + def test_array_equiv(self): + res = np.array_equiv(np.array([1, 2]), np.array([1, 2])) + assert_(res) + assert_(type(res) is bool) + res = np.array_equiv(np.array([1, 2]), np.array([1, 2, 3])) + assert_(not res) + assert_(type(res) is bool) + res = np.array_equiv(np.array([1, 2]), np.array([3, 4])) + assert_(not res) + assert_(type(res) is bool) + res = np.array_equiv(np.array([1, 2]), np.array([1, 3])) + assert_(not res) + assert_(type(res) is bool) + + res = np.array_equiv(np.array([1, 1]), np.array([1])) + assert_(res) + assert_(type(res) is bool) + res = np.array_equiv(np.array([1, 1]), np.array([[1], [1]])) + assert_(res) + assert_(type(res) is bool) + res = np.array_equiv(np.array([1, 2]), np.array([2])) + assert_(not res) + assert_(type(res) is bool) + res = np.array_equiv(np.array([1, 2]), np.array([[1], [2]])) + assert_(not res) + assert_(type(res) is bool) + res = np.array_equiv(np.array([1, 2]), np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])) + assert_(not res) + assert_(type(res) is bool) + + @pytest.mark.parametrize("dtype", ["V0", "V3", "V10"]) + def test_compare_unstructured_voids(self, dtype): + zeros = np.zeros(3, dtype=dtype) + + assert_array_equal(zeros, zeros) + assert not (zeros != zeros).any() + + if dtype == "V0": + # Can't test != of actually different data + return + + nonzeros = np.array([b"1", b"2", b"3"], dtype=dtype) + + assert not (zeros == nonzeros).any() + assert (zeros != nonzeros).all() + + +def assert_array_strict_equal(x, y): + assert_array_equal(x, y) + # Check flags, 32 bit arches typically don't provide 16 byte alignment + if ((x.dtype.alignment <= 8 or + np.intp().dtype.itemsize != 4) and + sys.platform != 'win32'): + assert_(x.flags == y.flags) + else: + assert_(x.flags.owndata == y.flags.owndata) + assert_(x.flags.writeable == y.flags.writeable) + assert_(x.flags.c_contiguous == y.flags.c_contiguous) + assert_(x.flags.f_contiguous == y.flags.f_contiguous) + assert_(x.flags.writebackifcopy == y.flags.writebackifcopy) + # check endianness + assert_(x.dtype.isnative == y.dtype.isnative) + + +class TestClip: + def setup_method(self): + self.nr = 5 + self.nc = 3 + + def fastclip(self, a, m, M, out=None, **kwargs): + return a.clip(m, M, out=out, **kwargs) + + def clip(self, a, m, M, out=None): + # use a.choose to verify fastclip result + selector = np.less(a, m) + 2*np.greater(a, M) + return selector.choose((a, m, M), out=out) + + # Handy functions + def _generate_data(self, n, m): + return randn(n, m) + + def _generate_data_complex(self, n, m): + return randn(n, m) + 1.j * rand(n, m) + + def _generate_flt_data(self, n, m): + return (randn(n, m)).astype(np.float32) + + def _neg_byteorder(self, a): + a = np.asarray(a) + if sys.byteorder == 'little': + a = a.astype(a.dtype.newbyteorder('>')) + else: + a = a.astype(a.dtype.newbyteorder('<')) + return a + + def _generate_non_native_data(self, n, m): + data = randn(n, m) + data = self._neg_byteorder(data) + assert_(not data.dtype.isnative) + return data + + def _generate_int_data(self, n, m): + return (10 * rand(n, m)).astype(np.int64) + + def _generate_int32_data(self, n, m): + return (10 * rand(n, m)).astype(np.int32) + + # Now the real test cases + + @pytest.mark.parametrize("dtype", '?bhilqpBHILQPefdgFDGO') + def test_ones_pathological(self, dtype): + # for preservation of behavior described in + # gh-12519; amin > amax behavior may still change + # in the future + arr = np.ones(10, dtype=dtype) + expected = np.zeros(10, dtype=dtype) + actual = np.clip(arr, 1, 0) + if dtype == 'O': + assert actual.tolist() == expected.tolist() + else: + assert_equal(actual, expected) + + def test_simple_double(self): + # Test native double input with scalar min/max. + a = self._generate_data(self.nr, self.nc) + m = 0.1 + M = 0.6 + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + def test_simple_int(self): + # Test native int input with scalar min/max. + a = self._generate_int_data(self.nr, self.nc) + a = a.astype(int) + m = -2 + M = 4 + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + def test_array_double(self): + # Test native double input with array min/max. + a = self._generate_data(self.nr, self.nc) + m = np.zeros(a.shape) + M = m + 0.5 + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + def test_simple_nonnative(self): + # Test non native double input with scalar min/max. + # Test native double input with non native double scalar min/max. + a = self._generate_non_native_data(self.nr, self.nc) + m = -0.5 + M = 0.6 + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_equal(ac, act) + + # Test native double input with non native double scalar min/max. + a = self._generate_data(self.nr, self.nc) + m = -0.5 + M = self._neg_byteorder(0.6) + assert_(not M.dtype.isnative) + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_equal(ac, act) + + def test_simple_complex(self): + # Test native complex input with native double scalar min/max. + # Test native input with complex double scalar min/max. + a = 3 * self._generate_data_complex(self.nr, self.nc) + m = -0.5 + M = 1. + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + # Test native input with complex double scalar min/max. + a = 3 * self._generate_data(self.nr, self.nc) + m = -0.5 + 1.j + M = 1. + 2.j + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + def test_clip_complex(self): + # Address Issue gh-5354 for clipping complex arrays + # Test native complex input without explicit min/max + # ie, either min=None or max=None + a = np.ones(10, dtype=complex) + m = a.min() + M = a.max() + am = self.fastclip(a, m, None) + aM = self.fastclip(a, None, M) + assert_array_strict_equal(am, a) + assert_array_strict_equal(aM, a) + + def test_clip_non_contig(self): + # Test clip for non contiguous native input and native scalar min/max. + a = self._generate_data(self.nr * 2, self.nc * 3) + a = a[::2, ::3] + assert_(not a.flags['F_CONTIGUOUS']) + assert_(not a.flags['C_CONTIGUOUS']) + ac = self.fastclip(a, -1.6, 1.7) + act = self.clip(a, -1.6, 1.7) + assert_array_strict_equal(ac, act) + + def test_simple_out(self): + # Test native double input with scalar min/max. + a = self._generate_data(self.nr, self.nc) + m = -0.5 + M = 0.6 + ac = np.zeros(a.shape) + act = np.zeros(a.shape) + self.fastclip(a, m, M, ac) + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + @pytest.mark.parametrize("casting", [None, "unsafe"]) + def test_simple_int32_inout(self, casting): + # Test native int32 input with double min/max and int32 out. + a = self._generate_int32_data(self.nr, self.nc) + m = np.float64(0) + M = np.float64(2) + ac = np.zeros(a.shape, dtype=np.int32) + act = ac.copy() + if casting is None: + with pytest.raises(TypeError): + self.fastclip(a, m, M, ac, casting=casting) + else: + # explicitly passing "unsafe" will silence warning + self.fastclip(a, m, M, ac, casting=casting) + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_simple_int64_out(self): + # Test native int32 input with int32 scalar min/max and int64 out. + a = self._generate_int32_data(self.nr, self.nc) + m = np.int32(-1) + M = np.int32(1) + ac = np.zeros(a.shape, dtype=np.int64) + act = ac.copy() + self.fastclip(a, m, M, ac) + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_simple_int64_inout(self): + # Test native int32 input with double array min/max and int32 out. + a = self._generate_int32_data(self.nr, self.nc) + m = np.zeros(a.shape, np.float64) + M = np.float64(1) + ac = np.zeros(a.shape, dtype=np.int32) + act = ac.copy() + self.fastclip(a, m, M, out=ac, casting="unsafe") + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_simple_int32_out(self): + # Test native double input with scalar min/max and int out. + a = self._generate_data(self.nr, self.nc) + m = -1.0 + M = 2.0 + ac = np.zeros(a.shape, dtype=np.int32) + act = ac.copy() + self.fastclip(a, m, M, out=ac, casting="unsafe") + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_simple_inplace_01(self): + # Test native double input with array min/max in-place. + a = self._generate_data(self.nr, self.nc) + ac = a.copy() + m = np.zeros(a.shape) + M = 1.0 + self.fastclip(a, m, M, a) + self.clip(a, m, M, ac) + assert_array_strict_equal(a, ac) + + def test_simple_inplace_02(self): + # Test native double input with scalar min/max in-place. + a = self._generate_data(self.nr, self.nc) + ac = a.copy() + m = -0.5 + M = 0.6 + self.fastclip(a, m, M, a) + self.clip(ac, m, M, ac) + assert_array_strict_equal(a, ac) + + def test_noncontig_inplace(self): + # Test non contiguous double input with double scalar min/max in-place. + a = self._generate_data(self.nr * 2, self.nc * 3) + a = a[::2, ::3] + assert_(not a.flags['F_CONTIGUOUS']) + assert_(not a.flags['C_CONTIGUOUS']) + ac = a.copy() + m = -0.5 + M = 0.6 + self.fastclip(a, m, M, a) + self.clip(ac, m, M, ac) + assert_array_equal(a, ac) + + def test_type_cast_01(self): + # Test native double input with scalar min/max. + a = self._generate_data(self.nr, self.nc) + m = -0.5 + M = 0.6 + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + def test_type_cast_02(self): + # Test native int32 input with int32 scalar min/max. + a = self._generate_int_data(self.nr, self.nc) + a = a.astype(np.int32) + m = -2 + M = 4 + ac = self.fastclip(a, m, M) + act = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + def test_type_cast_03(self): + # Test native int32 input with float64 scalar min/max. + a = self._generate_int32_data(self.nr, self.nc) + m = -2 + M = 4 + ac = self.fastclip(a, np.float64(m), np.float64(M)) + act = self.clip(a, np.float64(m), np.float64(M)) + assert_array_strict_equal(ac, act) + + def test_type_cast_04(self): + # Test native int32 input with float32 scalar min/max. + a = self._generate_int32_data(self.nr, self.nc) + m = np.float32(-2) + M = np.float32(4) + act = self.fastclip(a, m, M) + ac = self.clip(a, m, M) + assert_array_strict_equal(ac, act) + + def test_type_cast_05(self): + # Test native int32 with double arrays min/max. + a = self._generate_int_data(self.nr, self.nc) + m = -0.5 + M = 1. + ac = self.fastclip(a, m * np.zeros(a.shape), M) + act = self.clip(a, m * np.zeros(a.shape), M) + assert_array_strict_equal(ac, act) + + def test_type_cast_06(self): + # Test native with NON native scalar min/max. + a = self._generate_data(self.nr, self.nc) + m = 0.5 + m_s = self._neg_byteorder(m) + M = 1. + act = self.clip(a, m_s, M) + ac = self.fastclip(a, m_s, M) + assert_array_strict_equal(ac, act) + + def test_type_cast_07(self): + # Test NON native with native array min/max. + a = self._generate_data(self.nr, self.nc) + m = -0.5 * np.ones(a.shape) + M = 1. + a_s = self._neg_byteorder(a) + assert_(not a_s.dtype.isnative) + act = a_s.clip(m, M) + ac = self.fastclip(a_s, m, M) + assert_array_strict_equal(ac, act) + + def test_type_cast_08(self): + # Test NON native with native scalar min/max. + a = self._generate_data(self.nr, self.nc) + m = -0.5 + M = 1. + a_s = self._neg_byteorder(a) + assert_(not a_s.dtype.isnative) + ac = self.fastclip(a_s, m, M) + act = a_s.clip(m, M) + assert_array_strict_equal(ac, act) + + def test_type_cast_09(self): + # Test native with NON native array min/max. + a = self._generate_data(self.nr, self.nc) + m = -0.5 * np.ones(a.shape) + M = 1. + m_s = self._neg_byteorder(m) + assert_(not m_s.dtype.isnative) + ac = self.fastclip(a, m_s, M) + act = self.clip(a, m_s, M) + assert_array_strict_equal(ac, act) + + def test_type_cast_10(self): + # Test native int32 with float min/max and float out for output argument. + a = self._generate_int_data(self.nr, self.nc) + b = np.zeros(a.shape, dtype=np.float32) + m = np.float32(-0.5) + M = np.float32(1) + act = self.clip(a, m, M, out=b) + ac = self.fastclip(a, m, M, out=b) + assert_array_strict_equal(ac, act) + + def test_type_cast_11(self): + # Test non native with native scalar, min/max, out non native + a = self._generate_non_native_data(self.nr, self.nc) + b = a.copy() + b = b.astype(b.dtype.newbyteorder('>')) + bt = b.copy() + m = -0.5 + M = 1. + self.fastclip(a, m, M, out=b) + self.clip(a, m, M, out=bt) + assert_array_strict_equal(b, bt) + + def test_type_cast_12(self): + # Test native int32 input and min/max and float out + a = self._generate_int_data(self.nr, self.nc) + b = np.zeros(a.shape, dtype=np.float32) + m = np.int32(0) + M = np.int32(1) + act = self.clip(a, m, M, out=b) + ac = self.fastclip(a, m, M, out=b) + assert_array_strict_equal(ac, act) + + def test_clip_with_out_simple(self): + # Test native double input with scalar min/max + a = self._generate_data(self.nr, self.nc) + m = -0.5 + M = 0.6 + ac = np.zeros(a.shape) + act = np.zeros(a.shape) + self.fastclip(a, m, M, ac) + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_clip_with_out_simple2(self): + # Test native int32 input with double min/max and int32 out + a = self._generate_int32_data(self.nr, self.nc) + m = np.float64(0) + M = np.float64(2) + ac = np.zeros(a.shape, dtype=np.int32) + act = ac.copy() + self.fastclip(a, m, M, out=ac, casting="unsafe") + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_clip_with_out_simple_int32(self): + # Test native int32 input with int32 scalar min/max and int64 out + a = self._generate_int32_data(self.nr, self.nc) + m = np.int32(-1) + M = np.int32(1) + ac = np.zeros(a.shape, dtype=np.int64) + act = ac.copy() + self.fastclip(a, m, M, ac) + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_clip_with_out_array_int32(self): + # Test native int32 input with double array min/max and int32 out + a = self._generate_int32_data(self.nr, self.nc) + m = np.zeros(a.shape, np.float64) + M = np.float64(1) + ac = np.zeros(a.shape, dtype=np.int32) + act = ac.copy() + self.fastclip(a, m, M, out=ac, casting="unsafe") + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_clip_with_out_array_outint32(self): + # Test native double input with scalar min/max and int out + a = self._generate_data(self.nr, self.nc) + m = -1.0 + M = 2.0 + ac = np.zeros(a.shape, dtype=np.int32) + act = ac.copy() + self.fastclip(a, m, M, out=ac, casting="unsafe") + self.clip(a, m, M, act) + assert_array_strict_equal(ac, act) + + def test_clip_with_out_transposed(self): + # Test that the out argument works when transposed + a = np.arange(16).reshape(4, 4) + out = np.empty_like(a).T + a.clip(4, 10, out=out) + expected = self.clip(a, 4, 10) + assert_array_equal(out, expected) + + def test_clip_with_out_memory_overlap(self): + # Test that the out argument works when it has memory overlap + a = np.arange(16).reshape(4, 4) + ac = a.copy() + a[:-1].clip(4, 10, out=a[1:]) + expected = self.clip(ac[:-1], 4, 10) + assert_array_equal(a[1:], expected) + + def test_clip_inplace_array(self): + # Test native double input with array min/max + a = self._generate_data(self.nr, self.nc) + ac = a.copy() + m = np.zeros(a.shape) + M = 1.0 + self.fastclip(a, m, M, a) + self.clip(a, m, M, ac) + assert_array_strict_equal(a, ac) + + def test_clip_inplace_simple(self): + # Test native double input with scalar min/max + a = self._generate_data(self.nr, self.nc) + ac = a.copy() + m = -0.5 + M = 0.6 + self.fastclip(a, m, M, a) + self.clip(a, m, M, ac) + assert_array_strict_equal(a, ac) + + def test_clip_func_takes_out(self): + # Ensure that the clip() function takes an out=argument. + a = self._generate_data(self.nr, self.nc) + ac = a.copy() + m = -0.5 + M = 0.6 + a2 = np.clip(a, m, M, out=a) + self.clip(a, m, M, ac) + assert_array_strict_equal(a2, ac) + assert_(a2 is a) + + def test_clip_nan(self): + d = np.arange(7.) + assert_equal(d.clip(min=np.nan), np.nan) + assert_equal(d.clip(max=np.nan), np.nan) + assert_equal(d.clip(min=np.nan, max=np.nan), np.nan) + assert_equal(d.clip(min=-2, max=np.nan), np.nan) + assert_equal(d.clip(min=np.nan, max=10), np.nan) + + def test_object_clip(self): + a = np.arange(10, dtype=object) + actual = np.clip(a, 1, 5) + expected = np.array([1, 1, 2, 3, 4, 5, 5, 5, 5, 5]) + assert actual.tolist() == expected.tolist() + + def test_clip_all_none(self): + arr = np.arange(10, dtype=object) + assert_equal(np.clip(arr, None, None), arr) + assert_equal(np.clip(arr), arr) + + def test_clip_invalid_casting(self): + a = np.arange(10, dtype=object) + with assert_raises_regex(ValueError, + 'casting must be one of'): + self.fastclip(a, 1, 8, casting="garbage") + + @pytest.mark.parametrize("amin, amax", [ + # two scalars + (1, 0), + # mix scalar and array + (1, np.zeros(10)), + # two arrays + (np.ones(10), np.zeros(10)), + ]) + def test_clip_value_min_max_flip(self, amin, amax): + a = np.arange(10, dtype=np.int64) + # requirement from ufunc_docstrings.py + expected = np.minimum(np.maximum(a, amin), amax) + actual = np.clip(a, amin, amax) + assert_equal(actual, expected) + + @pytest.mark.parametrize("arr, amin, amax, exp", [ + # for a bug in npy_ObjectClip, based on a + # case produced by hypothesis + (np.zeros(10, dtype=object), + 0, + -2**64+1, + np.full(10, -2**64+1, dtype=object)), + # for bugs in NPY_TIMEDELTA_MAX, based on a case + # produced by hypothesis + (np.zeros(10, dtype='m8') - 1, + 0, + 0, + np.zeros(10, dtype='m8')), + ]) + def test_clip_problem_cases(self, arr, amin, amax, exp): + actual = np.clip(arr, amin, amax) + assert_equal(actual, exp) + + @pytest.mark.parametrize("arr, amin, amax", [ + # problematic scalar nan case from hypothesis + (np.zeros(10, dtype=np.int64), + np.array(np.nan), + np.zeros(10, dtype=np.int32)), + ]) + def test_clip_scalar_nan_propagation(self, arr, amin, amax): + # enforcement of scalar nan propagation for comparisons + # called through clip() + expected = np.minimum(np.maximum(arr, amin), amax) + actual = np.clip(arr, amin, amax) + assert_equal(actual, expected) + + @pytest.mark.xfail(reason="propagation doesn't match spec") + @pytest.mark.parametrize("arr, amin, amax", [ + (np.array([1] * 10, dtype='m8'), + np.timedelta64('NaT'), + np.zeros(10, dtype=np.int32)), + ]) + @pytest.mark.filterwarnings("ignore::DeprecationWarning") + def test_NaT_propagation(self, arr, amin, amax): + # NOTE: the expected function spec doesn't + # propagate NaT, but clip() now does + expected = np.minimum(np.maximum(arr, amin), amax) + actual = np.clip(arr, amin, amax) + assert_equal(actual, expected) + + @given( + data=st.data(), + arr=hynp.arrays( + dtype=hynp.integer_dtypes() | hynp.floating_dtypes(), + shape=hynp.array_shapes() + ) + ) + def test_clip_property(self, data, arr): + """A property-based test using Hypothesis. + + This aims for maximum generality: it could in principle generate *any* + valid inputs to np.clip, and in practice generates much more varied + inputs than human testers come up with. + + Because many of the inputs have tricky dependencies - compatible dtypes + and mutually-broadcastable shapes - we use `st.data()` strategy draw + values *inside* the test function, from strategies we construct based + on previous values. An alternative would be to define a custom strategy + with `@st.composite`, but until we have duplicated code inline is fine. + + That accounts for most of the function; the actual test is just three + lines to calculate and compare actual vs expected results! + """ + numeric_dtypes = hynp.integer_dtypes() | hynp.floating_dtypes() + # Generate shapes for the bounds which can be broadcast with each other + # and with the base shape. Below, we might decide to use scalar bounds, + # but it's clearer to generate these shapes unconditionally in advance. + in_shapes, result_shape = data.draw( + hynp.mutually_broadcastable_shapes( + num_shapes=2, base_shape=arr.shape + ) + ) + # Scalar `nan` is deprecated due to the differing behaviour it shows. + s = numeric_dtypes.flatmap( + lambda x: hynp.from_dtype(x, allow_nan=False)) + amin = data.draw(s | hynp.arrays(dtype=numeric_dtypes, + shape=in_shapes[0], elements={"allow_nan": False})) + amax = data.draw(s | hynp.arrays(dtype=numeric_dtypes, + shape=in_shapes[1], elements={"allow_nan": False})) + + # Then calculate our result and expected result and check that they're + # equal! See gh-12519 and gh-19457 for discussion deciding on this + # property and the result_type argument. + result = np.clip(arr, amin, amax) + t = np.result_type(arr, amin, amax) + expected = np.minimum(amax, np.maximum(arr, amin, dtype=t), dtype=t) + assert result.dtype == t + assert_array_equal(result, expected) + + def test_clip_min_max_args(self): + arr = np.arange(5) + + assert_array_equal(np.clip(arr), arr) + assert_array_equal(np.clip(arr, min=2, max=3), np.clip(arr, 2, 3)) + assert_array_equal(np.clip(arr, min=None, max=2), + np.clip(arr, None, 2)) + + with assert_raises_regex(TypeError, "missing 1 required positional " + "argument: 'a_max'"): + np.clip(arr, 2) + with assert_raises_regex(TypeError, "missing 1 required positional " + "argument: 'a_min'"): + np.clip(arr, a_max=2) + msg = ("Passing `min` or `max` keyword argument when `a_min` and " + "`a_max` are provided is forbidden.") + with assert_raises_regex(ValueError, msg): + np.clip(arr, 2, 3, max=3) + with assert_raises_regex(ValueError, msg): + np.clip(arr, 2, 3, min=2) + + @pytest.mark.parametrize("dtype,min,max", [ + ("int32", -2**32-1, 2**32), + ("int32", -2**320, None), + ("int32", None, 2**300), + ("int32", -1000, 2**32), + ("int32", -2**32-1, 1000), + ("uint8", -1, 129), + ]) + def test_out_of_bound_pyints(self, dtype, min, max): + a = np.arange(10000).astype(dtype) + # Check min only + c = np.clip(a, min=min, max=max) + assert not np.may_share_memory(a, c) + assert c.dtype == a.dtype + if min is not None: + assert (c >= min).all() + if max is not None: + assert (c <= max).all() + +class TestAllclose: + rtol = 1e-5 + atol = 1e-8 + + def setup_method(self): + self.olderr = np.seterr(invalid='ignore') + + def teardown_method(self): + np.seterr(**self.olderr) + + def tst_allclose(self, x, y): + assert_(np.allclose(x, y), "%s and %s not close" % (x, y)) + + def tst_not_allclose(self, x, y): + assert_(not np.allclose(x, y), "%s and %s shouldn't be close" % (x, y)) + + def test_ip_allclose(self): + # Parametric test factory. + arr = np.array([100, 1000]) + aran = np.arange(125).reshape((5, 5, 5)) + + atol = self.atol + rtol = self.rtol + + data = [([1, 0], [1, 0]), + ([atol], [0]), + ([1], [1+rtol+atol]), + (arr, arr + arr*rtol), + (arr, arr + arr*rtol + atol*2), + (aran, aran + aran*rtol), + (np.inf, np.inf), + (np.inf, [np.inf])] + + for (x, y) in data: + self.tst_allclose(x, y) + + def test_ip_not_allclose(self): + # Parametric test factory. + aran = np.arange(125).reshape((5, 5, 5)) + + atol = self.atol + rtol = self.rtol + + data = [([np.inf, 0], [1, np.inf]), + ([np.inf, 0], [1, 0]), + ([np.inf, np.inf], [1, np.inf]), + ([np.inf, np.inf], [1, 0]), + ([-np.inf, 0], [np.inf, 0]), + ([np.nan, 0], [np.nan, 0]), + ([atol*2], [0]), + ([1], [1+rtol+atol*2]), + (aran, aran + aran*atol + atol*2), + (np.array([np.inf, 1]), np.array([0, np.inf]))] + + for (x, y) in data: + self.tst_not_allclose(x, y) + + def test_no_parameter_modification(self): + x = np.array([np.inf, 1]) + y = np.array([0, np.inf]) + np.allclose(x, y) + assert_array_equal(x, np.array([np.inf, 1])) + assert_array_equal(y, np.array([0, np.inf])) + + def test_min_int(self): + # Could make problems because of abs(min_int) == min_int + min_int = np.iinfo(np.int_).min + a = np.array([min_int], dtype=np.int_) + assert_(np.allclose(a, a)) + + def test_equalnan(self): + x = np.array([1.0, np.nan]) + assert_(np.allclose(x, x, equal_nan=True)) + + def test_return_class_is_ndarray(self): + # Issue gh-6475 + # Check that allclose does not preserve subtypes + class Foo(np.ndarray): + def __new__(cls, *args, **kwargs): + return np.array(*args, **kwargs).view(cls) + + a = Foo([1]) + assert_(type(np.allclose(a, a)) is bool) + + +class TestIsclose: + rtol = 1e-5 + atol = 1e-8 + + def _setup(self): + atol = self.atol + rtol = self.rtol + arr = np.array([100, 1000]) + aran = np.arange(125).reshape((5, 5, 5)) + + self.all_close_tests = [ + ([1, 0], [1, 0]), + ([atol], [0]), + ([1], [1 + rtol + atol]), + (arr, arr + arr*rtol), + (arr, arr + arr*rtol + atol), + (aran, aran + aran*rtol), + (np.inf, np.inf), + (np.inf, [np.inf]), + ([np.inf, -np.inf], [np.inf, -np.inf]), + ] + self.none_close_tests = [ + ([np.inf, 0], [1, np.inf]), + ([np.inf, -np.inf], [1, 0]), + ([np.inf, np.inf], [1, -np.inf]), + ([np.inf, np.inf], [1, 0]), + ([np.nan, 0], [np.nan, -np.inf]), + ([atol*2], [0]), + ([1], [1 + rtol + atol*2]), + (aran, aran + rtol*1.1*aran + atol*1.1), + (np.array([np.inf, 1]), np.array([0, np.inf])), + ] + self.some_close_tests = [ + ([np.inf, 0], [np.inf, atol*2]), + ([atol, 1, 1e6*(1 + 2*rtol) + atol], [0, np.nan, 1e6]), + (np.arange(3), [0, 1, 2.1]), + (np.nan, [np.nan, np.nan, np.nan]), + ([0], [atol, np.inf, -np.inf, np.nan]), + (0, [atol, np.inf, -np.inf, np.nan]), + ] + self.some_close_results = [ + [True, False], + [True, False, False], + [True, True, False], + [False, False, False], + [True, False, False, False], + [True, False, False, False], + ] + + def test_ip_isclose(self): + self._setup() + tests = self.some_close_tests + results = self.some_close_results + for (x, y), result in zip(tests, results): + assert_array_equal(np.isclose(x, y), result) + + x = np.array([2.1, 2.1, 2.1, 2.1, 5, np.nan]) + y = np.array([2, 2, 2, 2, np.nan, 5]) + atol = [0.11, 0.09, 1e-8, 1e-8, 1, 1] + rtol = [1e-8, 1e-8, 0.06, 0.04, 1, 1] + expected = np.array([True, False, True, False, False, False]) + assert_array_equal(np.isclose(x, y, rtol=rtol, atol=atol), expected) + + message = "operands could not be broadcast together..." + atol = np.array([1e-8, 1e-8]) + with assert_raises(ValueError, msg=message): + np.isclose(x, y, atol=atol) + + rtol = np.array([1e-5, 1e-5]) + with assert_raises(ValueError, msg=message): + np.isclose(x, y, rtol=rtol) + + def test_nep50_isclose(self): + below_one = float(1.-np.finfo('f8').eps) + f32 = np.array(below_one, 'f4') # This is just 1 at float32 precision + assert f32 > np.array(below_one) + # NEP 50 broadcasting of python scalars + assert f32 == below_one + # Test that it works for isclose arguments too (and that those fail if + # one uses a numpy float64). + assert np.isclose(f32, below_one, atol=0, rtol=0) + assert np.isclose(f32, np.float32(0), atol=below_one) + assert np.isclose(f32, 2, atol=0, rtol=below_one/2) + assert not np.isclose(f32, np.float64(below_one), atol=0, rtol=0) + assert not np.isclose(f32, np.float32(0), atol=np.float64(below_one)) + assert not np.isclose(f32, 2, atol=0, rtol=np.float64(below_one/2)) + + def tst_all_isclose(self, x, y): + assert_(np.all(np.isclose(x, y)), "%s and %s not close" % (x, y)) + + def tst_none_isclose(self, x, y): + msg = "%s and %s shouldn't be close" + assert_(not np.any(np.isclose(x, y)), msg % (x, y)) + + def tst_isclose_allclose(self, x, y): + msg = "isclose.all() and allclose aren't same for %s and %s" + msg2 = "isclose and allclose aren't same for %s and %s" + if np.isscalar(x) and np.isscalar(y): + assert_(np.isclose(x, y) == np.allclose(x, y), msg=msg2 % (x, y)) + else: + assert_array_equal(np.isclose(x, y).all(), np.allclose(x, y), msg % (x, y)) + + def test_ip_all_isclose(self): + self._setup() + for (x, y) in self.all_close_tests: + self.tst_all_isclose(x, y) + + x = np.array([2.3, 3.6, 4.4, np.nan]) + y = np.array([2, 3, 4, np.nan]) + atol = [0.31, 0, 0, 1] + rtol = [0, 0.21, 0.11, 1] + assert np.allclose(x, y, atol=atol, rtol=rtol, equal_nan=True) + assert not np.allclose(x, y, atol=0.1, rtol=0.1, equal_nan=True) + + # Show that gh-14330 is resolved + assert np.allclose([1, 2, float('nan')], [1, 2, float('nan')], + atol=[1, 1, 1], equal_nan=True) + + def test_ip_none_isclose(self): + self._setup() + for (x, y) in self.none_close_tests: + self.tst_none_isclose(x, y) + + def test_ip_isclose_allclose(self): + self._setup() + tests = (self.all_close_tests + self.none_close_tests + + self.some_close_tests) + for (x, y) in tests: + self.tst_isclose_allclose(x, y) + + def test_equal_nan(self): + assert_array_equal(np.isclose(np.nan, np.nan, equal_nan=True), [True]) + arr = np.array([1.0, np.nan]) + assert_array_equal(np.isclose(arr, arr, equal_nan=True), [True, True]) + + def test_masked_arrays(self): + # Make sure to test the output type when arguments are interchanged. + + x = np.ma.masked_where([True, True, False], np.arange(3)) + assert_(type(x) is type(np.isclose(2, x))) + assert_(type(x) is type(np.isclose(x, 2))) + + x = np.ma.masked_where([True, True, False], [np.nan, np.inf, np.nan]) + assert_(type(x) is type(np.isclose(np.inf, x))) + assert_(type(x) is type(np.isclose(x, np.inf))) + + x = np.ma.masked_where([True, True, False], [np.nan, np.nan, np.nan]) + y = np.isclose(np.nan, x, equal_nan=True) + assert_(type(x) is type(y)) + # Ensure that the mask isn't modified... + assert_array_equal([True, True, False], y.mask) + y = np.isclose(x, np.nan, equal_nan=True) + assert_(type(x) is type(y)) + # Ensure that the mask isn't modified... + assert_array_equal([True, True, False], y.mask) + + x = np.ma.masked_where([True, True, False], [np.nan, np.nan, np.nan]) + y = np.isclose(x, x, equal_nan=True) + assert_(type(x) is type(y)) + # Ensure that the mask isn't modified... + assert_array_equal([True, True, False], y.mask) + + def test_scalar_return(self): + assert_(np.isscalar(np.isclose(1, 1))) + + def test_no_parameter_modification(self): + x = np.array([np.inf, 1]) + y = np.array([0, np.inf]) + np.isclose(x, y) + assert_array_equal(x, np.array([np.inf, 1])) + assert_array_equal(y, np.array([0, np.inf])) + + def test_non_finite_scalar(self): + # GH7014, when two scalars are compared the output should also be a + # scalar + assert_(np.isclose(np.inf, -np.inf) is np.False_) + assert_(np.isclose(0, np.inf) is np.False_) + assert_(type(np.isclose(0, np.inf)) is np.bool) + + def test_timedelta(self): + # Allclose currently works for timedelta64 as long as `atol` is + # an integer or also a timedelta64 + a = np.array([[1, 2, 3, "NaT"]], dtype="m8[ns]") + assert np.isclose(a, a, atol=0, equal_nan=True).all() + assert np.isclose(a, a, atol=np.timedelta64(1, "ns"), equal_nan=True).all() + assert np.allclose(a, a, atol=0, equal_nan=True) + assert np.allclose(a, a, atol=np.timedelta64(1, "ns"), equal_nan=True) + + +class TestStdVar: + def setup_method(self): + self.A = np.array([1, -1, 1, -1]) + self.real_var = 1 + + def test_basic(self): + assert_almost_equal(np.var(self.A), self.real_var) + assert_almost_equal(np.std(self.A)**2, self.real_var) + + def test_scalars(self): + assert_equal(np.var(1), 0) + assert_equal(np.std(1), 0) + + def test_ddof1(self): + assert_almost_equal(np.var(self.A, ddof=1), + self.real_var * len(self.A) / (len(self.A) - 1)) + assert_almost_equal(np.std(self.A, ddof=1)**2, + self.real_var*len(self.A) / (len(self.A) - 1)) + + def test_ddof2(self): + assert_almost_equal(np.var(self.A, ddof=2), + self.real_var * len(self.A) / (len(self.A) - 2)) + assert_almost_equal(np.std(self.A, ddof=2)**2, + self.real_var * len(self.A) / (len(self.A) - 2)) + + def test_correction(self): + assert_almost_equal( + np.var(self.A, correction=1), np.var(self.A, ddof=1) + ) + assert_almost_equal( + np.std(self.A, correction=1), np.std(self.A, ddof=1) + ) + + err_msg = "ddof and correction can't be provided simultaneously." + + with assert_raises_regex(ValueError, err_msg): + np.var(self.A, ddof=1, correction=0) + + with assert_raises_regex(ValueError, err_msg): + np.std(self.A, ddof=1, correction=1) + + def test_out_scalar(self): + d = np.arange(10) + out = np.array(0.) + r = np.std(d, out=out) + assert_(r is out) + assert_array_equal(r, out) + r = np.var(d, out=out) + assert_(r is out) + assert_array_equal(r, out) + r = np.mean(d, out=out) + assert_(r is out) + assert_array_equal(r, out) + + +class TestStdVarComplex: + def test_basic(self): + A = np.array([1, 1.j, -1, -1.j]) + real_var = 1 + assert_almost_equal(np.var(A), real_var) + assert_almost_equal(np.std(A)**2, real_var) + + def test_scalars(self): + assert_equal(np.var(1j), 0) + assert_equal(np.std(1j), 0) + + +class TestCreationFuncs: + # Test ones, zeros, empty and full. + + def setup_method(self): + dtypes = {np.dtype(tp) for tp in itertools.chain(*sctypes.values())} + # void, bytes, str + variable_sized = {tp for tp in dtypes if tp.str.endswith('0')} + keyfunc = lambda dtype: dtype.str + self.dtypes = sorted(dtypes - variable_sized | + {np.dtype(tp.str.replace("0", str(i))) + for tp in variable_sized for i in range(1, 10)}, + key=keyfunc) + self.dtypes += [type(dt) for dt in sorted(dtypes, key=keyfunc)] + self.orders = {'C': 'c_contiguous', 'F': 'f_contiguous'} + self.ndims = 10 + + def check_function(self, func, fill_value=None): + par = ((0, 1, 2), + range(self.ndims), + self.orders, + self.dtypes) + fill_kwarg = {} + if fill_value is not None: + fill_kwarg = {'fill_value': fill_value} + + for size, ndims, order, dtype in itertools.product(*par): + shape = ndims * [size] + + is_void = dtype is np.dtypes.VoidDType or ( + isinstance(dtype, np.dtype) and dtype.str.startswith('|V')) + + # do not fill void type + if fill_kwarg and is_void: + continue + + arr = func(shape, order=order, dtype=dtype, + **fill_kwarg) + + if isinstance(dtype, np.dtype): + assert_equal(arr.dtype, dtype) + elif isinstance(dtype, type(np.dtype)): + if dtype in (np.dtypes.StrDType, np.dtypes.BytesDType): + dtype_str = np.dtype(dtype.type).str.replace('0', '1') + assert_equal(arr.dtype, np.dtype(dtype_str)) + else: + assert_equal(arr.dtype, np.dtype(dtype.type)) + assert_(getattr(arr.flags, self.orders[order])) + + if fill_value is not None: + if arr.dtype.str.startswith('|S'): + val = str(fill_value) + else: + val = fill_value + assert_equal(arr, dtype.type(val)) + + def test_zeros(self): + self.check_function(np.zeros) + + def test_ones(self): + self.check_function(np.ones) + + def test_empty(self): + self.check_function(np.empty) + + def test_full(self): + self.check_function(np.full, 0) + self.check_function(np.full, 1) + + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + def test_for_reference_leak(self): + # Make sure we have an object for reference + dim = 1 + beg = sys.getrefcount(dim) + np.zeros([dim]*10) + assert_(sys.getrefcount(dim) == beg) + np.ones([dim]*10) + assert_(sys.getrefcount(dim) == beg) + np.empty([dim]*10) + assert_(sys.getrefcount(dim) == beg) + np.full([dim]*10, 0) + assert_(sys.getrefcount(dim) == beg) + + +class TestLikeFuncs: + '''Test ones_like, zeros_like, empty_like and full_like''' + + def setup_method(self): + self.data = [ + # Array scalars + (np.array(3.), None), + (np.array(3), 'f8'), + # 1D arrays + (np.arange(6, dtype='f4'), None), + (np.arange(6), 'c16'), + # 2D C-layout arrays + (np.arange(6).reshape(2, 3), None), + (np.arange(6).reshape(3, 2), 'i1'), + # 2D F-layout arrays + (np.arange(6).reshape((2, 3), order='F'), None), + (np.arange(6).reshape((3, 2), order='F'), 'i1'), + # 3D C-layout arrays + (np.arange(24).reshape(2, 3, 4), None), + (np.arange(24).reshape(4, 3, 2), 'f4'), + # 3D F-layout arrays + (np.arange(24).reshape((2, 3, 4), order='F'), None), + (np.arange(24).reshape((4, 3, 2), order='F'), 'f4'), + # 3D non-C/F-layout arrays + (np.arange(24).reshape(2, 3, 4).swapaxes(0, 1), None), + (np.arange(24).reshape(4, 3, 2).swapaxes(0, 1), '?'), + ] + self.shapes = [(), (5,), (5,6,), (5,6,7,)] + + def compare_array_value(self, dz, value, fill_value): + if value is not None: + if fill_value: + # Conversion is close to what np.full_like uses + # but we may want to convert directly in the future + # which may result in errors (where this does not). + z = np.array(value).astype(dz.dtype) + assert_(np.all(dz == z)) + else: + assert_(np.all(dz == value)) + + def check_like_function(self, like_function, value, fill_value=False): + if fill_value: + fill_kwarg = {'fill_value': value} + else: + fill_kwarg = {} + for d, dtype in self.data: + # default (K) order, dtype + dz = like_function(d, dtype=dtype, **fill_kwarg) + assert_equal(dz.shape, d.shape) + assert_equal(np.array(dz.strides)*d.dtype.itemsize, + np.array(d.strides)*dz.dtype.itemsize) + assert_equal(d.flags.c_contiguous, dz.flags.c_contiguous) + assert_equal(d.flags.f_contiguous, dz.flags.f_contiguous) + if dtype is None: + assert_equal(dz.dtype, d.dtype) + else: + assert_equal(dz.dtype, np.dtype(dtype)) + self.compare_array_value(dz, value, fill_value) + + # C order, default dtype + dz = like_function(d, order='C', dtype=dtype, **fill_kwarg) + assert_equal(dz.shape, d.shape) + assert_(dz.flags.c_contiguous) + if dtype is None: + assert_equal(dz.dtype, d.dtype) + else: + assert_equal(dz.dtype, np.dtype(dtype)) + self.compare_array_value(dz, value, fill_value) + + # F order, default dtype + dz = like_function(d, order='F', dtype=dtype, **fill_kwarg) + assert_equal(dz.shape, d.shape) + assert_(dz.flags.f_contiguous) + if dtype is None: + assert_equal(dz.dtype, d.dtype) + else: + assert_equal(dz.dtype, np.dtype(dtype)) + self.compare_array_value(dz, value, fill_value) + + # A order + dz = like_function(d, order='A', dtype=dtype, **fill_kwarg) + assert_equal(dz.shape, d.shape) + if d.flags.f_contiguous: + assert_(dz.flags.f_contiguous) + else: + assert_(dz.flags.c_contiguous) + if dtype is None: + assert_equal(dz.dtype, d.dtype) + else: + assert_equal(dz.dtype, np.dtype(dtype)) + self.compare_array_value(dz, value, fill_value) + + # Test the 'shape' parameter + for s in self.shapes: + for o in 'CFA': + sz = like_function(d, dtype=dtype, shape=s, order=o, + **fill_kwarg) + assert_equal(sz.shape, s) + if dtype is None: + assert_equal(sz.dtype, d.dtype) + else: + assert_equal(sz.dtype, np.dtype(dtype)) + if o == 'C' or (o == 'A' and d.flags.c_contiguous): + assert_(sz.flags.c_contiguous) + elif o == 'F' or (o == 'A' and d.flags.f_contiguous): + assert_(sz.flags.f_contiguous) + self.compare_array_value(sz, value, fill_value) + + if (d.ndim != len(s)): + assert_equal(np.argsort(like_function(d, dtype=dtype, + shape=s, order='K', + **fill_kwarg).strides), + np.argsort(np.empty(s, dtype=dtype, + order='C').strides)) + else: + assert_equal(np.argsort(like_function(d, dtype=dtype, + shape=s, order='K', + **fill_kwarg).strides), + np.argsort(d.strides)) + + # Test the 'subok' parameter + class MyNDArray(np.ndarray): + pass + + a = np.array([[1, 2], [3, 4]]).view(MyNDArray) + + b = like_function(a, **fill_kwarg) + assert_(type(b) is MyNDArray) + + b = like_function(a, subok=False, **fill_kwarg) + assert_(type(b) is not MyNDArray) + + # Test invalid dtype + with assert_raises(TypeError): + a = np.array(b"abc") + like_function(a, dtype="S-1", **fill_kwarg) + + def test_ones_like(self): + self.check_like_function(np.ones_like, 1) + + def test_zeros_like(self): + self.check_like_function(np.zeros_like, 0) + + def test_empty_like(self): + self.check_like_function(np.empty_like, None) + + def test_filled_like(self): + self.check_like_function(np.full_like, 0, True) + self.check_like_function(np.full_like, 1, True) + # Large integers may overflow, but using int64 is OK (casts) + # see also gh-27075 + with pytest.raises(OverflowError): + np.full_like(np.ones(3, dtype=np.int8), 1000) + self.check_like_function(np.full_like, np.int64(1000), True) + self.check_like_function(np.full_like, 123.456, True) + # Inf to integer casts cause invalid-value errors: ignore them. + with np.errstate(invalid="ignore"): + self.check_like_function(np.full_like, np.inf, True) + + @pytest.mark.parametrize('likefunc', [np.empty_like, np.full_like, + np.zeros_like, np.ones_like]) + @pytest.mark.parametrize('dtype', [str, bytes]) + def test_dtype_str_bytes(self, likefunc, dtype): + # Regression test for gh-19860 + a = np.arange(16).reshape(2, 8) + b = a[:, ::2] # Ensure b is not contiguous. + kwargs = {'fill_value': ''} if likefunc == np.full_like else {} + result = likefunc(b, dtype=dtype, **kwargs) + if dtype == str: + assert result.strides == (16, 4) + else: + # dtype is bytes + assert result.strides == (4, 1) + + +class TestCorrelate: + def _setup(self, dt): + self.x = np.array([1, 2, 3, 4, 5], dtype=dt) + self.xs = np.arange(1, 20)[::3] + self.y = np.array([-1, -2, -3], dtype=dt) + self.z1 = np.array([-3., -8., -14., -20., -26., -14., -5.], dtype=dt) + self.z1_4 = np.array([-2., -5., -8., -11., -14., -5.], dtype=dt) + self.z1r = np.array([-15., -22., -22., -16., -10., -4., -1.], dtype=dt) + self.z2 = np.array([-5., -14., -26., -20., -14., -8., -3.], dtype=dt) + self.z2r = np.array([-1., -4., -10., -16., -22., -22., -15.], dtype=dt) + self.zs = np.array([-3., -14., -30., -48., -66., -84., + -102., -54., -19.], dtype=dt) + + def test_float(self): + self._setup(float) + z = np.correlate(self.x, self.y, 'full') + assert_array_almost_equal(z, self.z1) + z = np.correlate(self.x, self.y[:-1], 'full') + assert_array_almost_equal(z, self.z1_4) + z = np.correlate(self.y, self.x, 'full') + assert_array_almost_equal(z, self.z2) + z = np.correlate(self.x[::-1], self.y, 'full') + assert_array_almost_equal(z, self.z1r) + z = np.correlate(self.y, self.x[::-1], 'full') + assert_array_almost_equal(z, self.z2r) + z = np.correlate(self.xs, self.y, 'full') + assert_array_almost_equal(z, self.zs) + + def test_object(self): + self._setup(Decimal) + z = np.correlate(self.x, self.y, 'full') + assert_array_almost_equal(z, self.z1) + z = np.correlate(self.y, self.x, 'full') + assert_array_almost_equal(z, self.z2) + + def test_no_overwrite(self): + d = np.ones(100) + k = np.ones(3) + np.correlate(d, k) + assert_array_equal(d, np.ones(100)) + assert_array_equal(k, np.ones(3)) + + def test_complex(self): + x = np.array([1, 2, 3, 4+1j], dtype=complex) + y = np.array([-1, -2j, 3+1j], dtype=complex) + r_z = np.array([3-1j, 6, 8+1j, 11+5j, -5+8j, -4-1j], dtype=complex) + r_z = r_z[::-1].conjugate() + z = np.correlate(y, x, mode='full') + assert_array_almost_equal(z, r_z) + + def test_zero_size(self): + with pytest.raises(ValueError): + np.correlate(np.array([]), np.ones(1000), mode='full') + with pytest.raises(ValueError): + np.correlate(np.ones(1000), np.array([]), mode='full') + + def test_mode(self): + d = np.ones(100) + k = np.ones(3) + default_mode = np.correlate(d, k, mode='valid') + with assert_warns(DeprecationWarning): + valid_mode = np.correlate(d, k, mode='v') + assert_array_equal(valid_mode, default_mode) + # integer mode + with assert_raises(ValueError): + np.correlate(d, k, mode=-1) + assert_array_equal(np.correlate(d, k, mode=0), valid_mode) + # illegal arguments + with assert_raises(TypeError): + np.correlate(d, k, mode=None) + + +class TestConvolve: + def test_object(self): + d = [1.] * 100 + k = [1.] * 3 + assert_array_almost_equal(np.convolve(d, k)[2:-2], np.full(98, 3)) + + def test_no_overwrite(self): + d = np.ones(100) + k = np.ones(3) + np.convolve(d, k) + assert_array_equal(d, np.ones(100)) + assert_array_equal(k, np.ones(3)) + + def test_mode(self): + d = np.ones(100) + k = np.ones(3) + default_mode = np.convolve(d, k, mode='full') + with assert_warns(DeprecationWarning): + full_mode = np.convolve(d, k, mode='f') + assert_array_equal(full_mode, default_mode) + # integer mode + with assert_raises(ValueError): + np.convolve(d, k, mode=-1) + assert_array_equal(np.convolve(d, k, mode=2), full_mode) + # illegal arguments + with assert_raises(TypeError): + np.convolve(d, k, mode=None) + + +class TestArgwhere: + + @pytest.mark.parametrize('nd', [0, 1, 2]) + def test_nd(self, nd): + # get an nd array with multiple elements in every dimension + x = np.empty((2,)*nd, bool) + + # none + x[...] = False + assert_equal(np.argwhere(x).shape, (0, nd)) + + # only one + x[...] = False + x.flat[0] = True + assert_equal(np.argwhere(x).shape, (1, nd)) + + # all but one + x[...] = True + x.flat[0] = False + assert_equal(np.argwhere(x).shape, (x.size - 1, nd)) + + # all + x[...] = True + assert_equal(np.argwhere(x).shape, (x.size, nd)) + + def test_2D(self): + x = np.arange(6).reshape((2, 3)) + assert_array_equal(np.argwhere(x > 1), + [[0, 2], + [1, 0], + [1, 1], + [1, 2]]) + + def test_list(self): + assert_equal(np.argwhere([4, 0, 2, 1, 3]), [[0], [2], [3], [4]]) + + +class TestRoll: + def test_roll1d(self): + x = np.arange(10) + xr = np.roll(x, 2) + assert_equal(xr, np.array([8, 9, 0, 1, 2, 3, 4, 5, 6, 7])) + + def test_roll2d(self): + x2 = np.reshape(np.arange(10), (2, 5)) + x2r = np.roll(x2, 1) + assert_equal(x2r, np.array([[9, 0, 1, 2, 3], [4, 5, 6, 7, 8]])) + + x2r = np.roll(x2, 1, axis=0) + assert_equal(x2r, np.array([[5, 6, 7, 8, 9], [0, 1, 2, 3, 4]])) + + x2r = np.roll(x2, 1, axis=1) + assert_equal(x2r, np.array([[4, 0, 1, 2, 3], [9, 5, 6, 7, 8]])) + + # Roll multiple axes at once. + x2r = np.roll(x2, 1, axis=(0, 1)) + assert_equal(x2r, np.array([[9, 5, 6, 7, 8], [4, 0, 1, 2, 3]])) + + x2r = np.roll(x2, (1, 0), axis=(0, 1)) + assert_equal(x2r, np.array([[5, 6, 7, 8, 9], [0, 1, 2, 3, 4]])) + + x2r = np.roll(x2, (-1, 0), axis=(0, 1)) + assert_equal(x2r, np.array([[5, 6, 7, 8, 9], [0, 1, 2, 3, 4]])) + + x2r = np.roll(x2, (0, 1), axis=(0, 1)) + assert_equal(x2r, np.array([[4, 0, 1, 2, 3], [9, 5, 6, 7, 8]])) + + x2r = np.roll(x2, (0, -1), axis=(0, 1)) + assert_equal(x2r, np.array([[1, 2, 3, 4, 0], [6, 7, 8, 9, 5]])) + + x2r = np.roll(x2, (1, 1), axis=(0, 1)) + assert_equal(x2r, np.array([[9, 5, 6, 7, 8], [4, 0, 1, 2, 3]])) + + x2r = np.roll(x2, (-1, -1), axis=(0, 1)) + assert_equal(x2r, np.array([[6, 7, 8, 9, 5], [1, 2, 3, 4, 0]])) + + # Roll the same axis multiple times. + x2r = np.roll(x2, 1, axis=(0, 0)) + assert_equal(x2r, np.array([[0, 1, 2, 3, 4], [5, 6, 7, 8, 9]])) + + x2r = np.roll(x2, 1, axis=(1, 1)) + assert_equal(x2r, np.array([[3, 4, 0, 1, 2], [8, 9, 5, 6, 7]])) + + # Roll more than one turn in either direction. + x2r = np.roll(x2, 6, axis=1) + assert_equal(x2r, np.array([[4, 0, 1, 2, 3], [9, 5, 6, 7, 8]])) + + x2r = np.roll(x2, -4, axis=1) + assert_equal(x2r, np.array([[4, 0, 1, 2, 3], [9, 5, 6, 7, 8]])) + + def test_roll_empty(self): + x = np.array([]) + assert_equal(np.roll(x, 1), np.array([])) + + def test_roll_unsigned_shift(self): + x = np.arange(4) + shift = np.uint16(2) + assert_equal(np.roll(x, shift), np.roll(x, 2)) + + shift = np.uint64(2**63+2) + assert_equal(np.roll(x, shift), np.roll(x, 2)) + + def test_roll_big_int(self): + x = np.arange(4) + assert_equal(np.roll(x, 2**100), x) + + +class TestRollaxis: + + # expected shape indexed by (axis, start) for array of + # shape (1, 2, 3, 4) + tgtshape = {(0, 0): (1, 2, 3, 4), (0, 1): (1, 2, 3, 4), + (0, 2): (2, 1, 3, 4), (0, 3): (2, 3, 1, 4), + (0, 4): (2, 3, 4, 1), + (1, 0): (2, 1, 3, 4), (1, 1): (1, 2, 3, 4), + (1, 2): (1, 2, 3, 4), (1, 3): (1, 3, 2, 4), + (1, 4): (1, 3, 4, 2), + (2, 0): (3, 1, 2, 4), (2, 1): (1, 3, 2, 4), + (2, 2): (1, 2, 3, 4), (2, 3): (1, 2, 3, 4), + (2, 4): (1, 2, 4, 3), + (3, 0): (4, 1, 2, 3), (3, 1): (1, 4, 2, 3), + (3, 2): (1, 2, 4, 3), (3, 3): (1, 2, 3, 4), + (3, 4): (1, 2, 3, 4)} + + def test_exceptions(self): + a = np.arange(1*2*3*4).reshape(1, 2, 3, 4) + assert_raises(AxisError, np.rollaxis, a, -5, 0) + assert_raises(AxisError, np.rollaxis, a, 0, -5) + assert_raises(AxisError, np.rollaxis, a, 4, 0) + assert_raises(AxisError, np.rollaxis, a, 0, 5) + + def test_results(self): + a = np.arange(1*2*3*4).reshape(1, 2, 3, 4).copy() + aind = np.indices(a.shape) + assert_(a.flags['OWNDATA']) + for (i, j) in self.tgtshape: + # positive axis, positive start + res = np.rollaxis(a, axis=i, start=j) + i0, i1, i2, i3 = aind[np.array(res.shape) - 1] + assert_(np.all(res[i0, i1, i2, i3] == a)) + assert_(res.shape == self.tgtshape[(i, j)], str((i,j))) + assert_(not res.flags['OWNDATA']) + + # negative axis, positive start + ip = i + 1 + res = np.rollaxis(a, axis=-ip, start=j) + i0, i1, i2, i3 = aind[np.array(res.shape) - 1] + assert_(np.all(res[i0, i1, i2, i3] == a)) + assert_(res.shape == self.tgtshape[(4 - ip, j)]) + assert_(not res.flags['OWNDATA']) + + # positive axis, negative start + jp = j + 1 if j < 4 else j + res = np.rollaxis(a, axis=i, start=-jp) + i0, i1, i2, i3 = aind[np.array(res.shape) - 1] + assert_(np.all(res[i0, i1, i2, i3] == a)) + assert_(res.shape == self.tgtshape[(i, 4 - jp)]) + assert_(not res.flags['OWNDATA']) + + # negative axis, negative start + ip = i + 1 + jp = j + 1 if j < 4 else j + res = np.rollaxis(a, axis=-ip, start=-jp) + i0, i1, i2, i3 = aind[np.array(res.shape) - 1] + assert_(np.all(res[i0, i1, i2, i3] == a)) + assert_(res.shape == self.tgtshape[(4 - ip, 4 - jp)]) + assert_(not res.flags['OWNDATA']) + + +class TestMoveaxis: + def test_move_to_end(self): + x = np.random.randn(5, 6, 7) + for source, expected in [(0, (6, 7, 5)), + (1, (5, 7, 6)), + (2, (5, 6, 7)), + (-1, (5, 6, 7))]: + actual = np.moveaxis(x, source, -1).shape + assert_(actual, expected) + + def test_move_new_position(self): + x = np.random.randn(1, 2, 3, 4) + for source, destination, expected in [ + (0, 1, (2, 1, 3, 4)), + (1, 2, (1, 3, 2, 4)), + (1, -1, (1, 3, 4, 2)), + ]: + actual = np.moveaxis(x, source, destination).shape + assert_(actual, expected) + + def test_preserve_order(self): + x = np.zeros((1, 2, 3, 4)) + for source, destination in [ + (0, 0), + (3, -1), + (-1, 3), + ([0, -1], [0, -1]), + ([2, 0], [2, 0]), + (range(4), range(4)), + ]: + actual = np.moveaxis(x, source, destination).shape + assert_(actual, (1, 2, 3, 4)) + + def test_move_multiples(self): + x = np.zeros((0, 1, 2, 3)) + for source, destination, expected in [ + ([0, 1], [2, 3], (2, 3, 0, 1)), + ([2, 3], [0, 1], (2, 3, 0, 1)), + ([0, 1, 2], [2, 3, 0], (2, 3, 0, 1)), + ([3, 0], [1, 0], (0, 3, 1, 2)), + ([0, 3], [0, 1], (0, 3, 1, 2)), + ]: + actual = np.moveaxis(x, source, destination).shape + assert_(actual, expected) + + def test_errors(self): + x = np.random.randn(1, 2, 3) + assert_raises_regex(AxisError, 'source.*out of bounds', + np.moveaxis, x, 3, 0) + assert_raises_regex(AxisError, 'source.*out of bounds', + np.moveaxis, x, -4, 0) + assert_raises_regex(AxisError, 'destination.*out of bounds', + np.moveaxis, x, 0, 5) + assert_raises_regex(ValueError, 'repeated axis in `source`', + np.moveaxis, x, [0, 0], [0, 1]) + assert_raises_regex(ValueError, 'repeated axis in `destination`', + np.moveaxis, x, [0, 1], [1, 1]) + assert_raises_regex(ValueError, 'must have the same number', + np.moveaxis, x, 0, [0, 1]) + assert_raises_regex(ValueError, 'must have the same number', + np.moveaxis, x, [0, 1], [0]) + + def test_array_likes(self): + x = np.ma.zeros((1, 2, 3)) + result = np.moveaxis(x, 0, 0) + assert_(x.shape, result.shape) + assert_(isinstance(result, np.ma.MaskedArray)) + + x = [1, 2, 3] + result = np.moveaxis(x, 0, 0) + assert_(x, list(result)) + assert_(isinstance(result, np.ndarray)) + + +class TestCross: + @pytest.mark.filterwarnings( + "ignore:.*2-dimensional vectors.*:DeprecationWarning" + ) + def test_2x2(self): + u = [1, 2] + v = [3, 4] + z = -2 + cp = np.cross(u, v) + assert_equal(cp, z) + cp = np.cross(v, u) + assert_equal(cp, -z) + + @pytest.mark.filterwarnings( + "ignore:.*2-dimensional vectors.*:DeprecationWarning" + ) + def test_2x3(self): + u = [1, 2] + v = [3, 4, 5] + z = np.array([10, -5, -2]) + cp = np.cross(u, v) + assert_equal(cp, z) + cp = np.cross(v, u) + assert_equal(cp, -z) + + def test_3x3(self): + u = [1, 2, 3] + v = [4, 5, 6] + z = np.array([-3, 6, -3]) + cp = np.cross(u, v) + assert_equal(cp, z) + cp = np.cross(v, u) + assert_equal(cp, -z) + + @pytest.mark.filterwarnings( + "ignore:.*2-dimensional vectors.*:DeprecationWarning" + ) + def test_broadcasting(self): + # Ticket #2624 (Trac #2032) + u = np.tile([1, 2], (11, 1)) + v = np.tile([3, 4], (11, 1)) + z = -2 + assert_equal(np.cross(u, v), z) + assert_equal(np.cross(v, u), -z) + assert_equal(np.cross(u, u), 0) + + u = np.tile([1, 2], (11, 1)).T + v = np.tile([3, 4, 5], (11, 1)) + z = np.tile([10, -5, -2], (11, 1)) + assert_equal(np.cross(u, v, axisa=0), z) + assert_equal(np.cross(v, u.T), -z) + assert_equal(np.cross(v, v), 0) + + u = np.tile([1, 2, 3], (11, 1)).T + v = np.tile([3, 4], (11, 1)).T + z = np.tile([-12, 9, -2], (11, 1)) + assert_equal(np.cross(u, v, axisa=0, axisb=0), z) + assert_equal(np.cross(v.T, u.T), -z) + assert_equal(np.cross(u.T, u.T), 0) + + u = np.tile([1, 2, 3], (5, 1)) + v = np.tile([4, 5, 6], (5, 1)).T + z = np.tile([-3, 6, -3], (5, 1)) + assert_equal(np.cross(u, v, axisb=0), z) + assert_equal(np.cross(v.T, u), -z) + assert_equal(np.cross(u, u), 0) + + @pytest.mark.filterwarnings( + "ignore:.*2-dimensional vectors.*:DeprecationWarning" + ) + def test_broadcasting_shapes(self): + u = np.ones((2, 1, 3)) + v = np.ones((5, 3)) + assert_equal(np.cross(u, v).shape, (2, 5, 3)) + u = np.ones((10, 3, 5)) + v = np.ones((2, 5)) + assert_equal(np.cross(u, v, axisa=1, axisb=0).shape, (10, 5, 3)) + assert_raises(AxisError, np.cross, u, v, axisa=1, axisb=2) + assert_raises(AxisError, np.cross, u, v, axisa=3, axisb=0) + u = np.ones((10, 3, 5, 7)) + v = np.ones((5, 7, 2)) + assert_equal(np.cross(u, v, axisa=1, axisc=2).shape, (10, 5, 3, 7)) + assert_raises(AxisError, np.cross, u, v, axisa=-5, axisb=2) + assert_raises(AxisError, np.cross, u, v, axisa=1, axisb=-4) + # gh-5885 + u = np.ones((3, 4, 2)) + for axisc in range(-2, 2): + assert_equal(np.cross(u, u, axisc=axisc).shape, (3, 4)) + + def test_uint8_int32_mixed_dtypes(self): + # regression test for gh-19138 + u = np.array([[195, 8, 9]], np.uint8) + v = np.array([250, 166, 68], np.int32) + z = np.array([[950, 11010, -30370]], dtype=np.int32) + assert_equal(np.cross(v, u), z) + assert_equal(np.cross(u, v), -z) + + @pytest.mark.parametrize("a, b", [(0, [1, 2]), ([1, 2], 3)]) + def test_zero_dimension(self, a, b): + with pytest.raises(ValueError) as exc: + np.cross(a, b) + assert "At least one array has zero dimension" in str(exc.value) + + +def test_outer_out_param(): + arr1 = np.ones((5,)) + arr2 = np.ones((2,)) + arr3 = np.linspace(-2, 2, 5) + out1 = np.ndarray(shape=(5,5)) + out2 = np.ndarray(shape=(2, 5)) + res1 = np.outer(arr1, arr3, out1) + assert_equal(res1, out1) + assert_equal(np.outer(arr2, arr3, out2), out2) + + +class TestIndices: + + def test_simple(self): + [x, y] = np.indices((4, 3)) + assert_array_equal(x, np.array([[0, 0, 0], + [1, 1, 1], + [2, 2, 2], + [3, 3, 3]])) + assert_array_equal(y, np.array([[0, 1, 2], + [0, 1, 2], + [0, 1, 2], + [0, 1, 2]])) + + def test_single_input(self): + [x] = np.indices((4,)) + assert_array_equal(x, np.array([0, 1, 2, 3])) + + [x] = np.indices((4,), sparse=True) + assert_array_equal(x, np.array([0, 1, 2, 3])) + + def test_scalar_input(self): + assert_array_equal([], np.indices(())) + assert_array_equal([], np.indices((), sparse=True)) + assert_array_equal([[]], np.indices((0,))) + assert_array_equal([[]], np.indices((0,), sparse=True)) + + def test_sparse(self): + [x, y] = np.indices((4,3), sparse=True) + assert_array_equal(x, np.array([[0], [1], [2], [3]])) + assert_array_equal(y, np.array([[0, 1, 2]])) + + @pytest.mark.parametrize("dtype", [np.int32, np.int64, np.float32, np.float64]) + @pytest.mark.parametrize("dims", [(), (0,), (4, 3)]) + def test_return_type(self, dtype, dims): + inds = np.indices(dims, dtype=dtype) + assert_(inds.dtype == dtype) + + for arr in np.indices(dims, dtype=dtype, sparse=True): + assert_(arr.dtype == dtype) + + +class TestRequire: + flag_names = ['C', 'C_CONTIGUOUS', 'CONTIGUOUS', + 'F', 'F_CONTIGUOUS', 'FORTRAN', + 'A', 'ALIGNED', + 'W', 'WRITEABLE', + 'O', 'OWNDATA'] + + def generate_all_false(self, dtype): + arr = np.zeros((2, 2), [('junk', 'i1'), ('a', dtype)]) + arr.setflags(write=False) + a = arr['a'] + assert_(not a.flags['C']) + assert_(not a.flags['F']) + assert_(not a.flags['O']) + assert_(not a.flags['W']) + assert_(not a.flags['A']) + return a + + def set_and_check_flag(self, flag, dtype, arr): + if dtype is None: + dtype = arr.dtype + b = np.require(arr, dtype, [flag]) + assert_(b.flags[flag]) + assert_(b.dtype == dtype) + + # a further call to np.require ought to return the same array + # unless OWNDATA is specified. + c = np.require(b, None, [flag]) + if flag[0] != 'O': + assert_(c is b) + else: + assert_(c.flags[flag]) + + def test_require_each(self): + + id = ['f8', 'i4'] + fd = [None, 'f8', 'c16'] + for idtype, fdtype, flag in itertools.product(id, fd, self.flag_names): + a = self.generate_all_false(idtype) + self.set_and_check_flag(flag, fdtype, a) + + def test_unknown_requirement(self): + a = self.generate_all_false('f8') + assert_raises(KeyError, np.require, a, None, 'Q') + + def test_non_array_input(self): + a = np.require([1, 2, 3, 4], 'i4', ['C', 'A', 'O']) + assert_(a.flags['O']) + assert_(a.flags['C']) + assert_(a.flags['A']) + assert_(a.dtype == 'i4') + assert_equal(a, [1, 2, 3, 4]) + + def test_C_and_F_simul(self): + a = self.generate_all_false('f8') + assert_raises(ValueError, np.require, a, None, ['C', 'F']) + + def test_ensure_array(self): + class ArraySubclass(np.ndarray): + pass + + a = ArraySubclass((2, 2)) + b = np.require(a, None, ['E']) + assert_(type(b) is np.ndarray) + + def test_preserve_subtype(self): + class ArraySubclass(np.ndarray): + pass + + for flag in self.flag_names: + a = ArraySubclass((2, 2)) + self.set_and_check_flag(flag, None, a) + + +class TestBroadcast: + def test_broadcast_in_args(self): + # gh-5881 + arrs = [np.empty((6, 7)), np.empty((5, 6, 1)), np.empty((7,)), + np.empty((5, 1, 7))] + mits = [np.broadcast(*arrs), + np.broadcast(np.broadcast(*arrs[:0]), np.broadcast(*arrs[0:])), + np.broadcast(np.broadcast(*arrs[:1]), np.broadcast(*arrs[1:])), + np.broadcast(np.broadcast(*arrs[:2]), np.broadcast(*arrs[2:])), + np.broadcast(arrs[0], np.broadcast(*arrs[1:-1]), arrs[-1])] + for mit in mits: + assert_equal(mit.shape, (5, 6, 7)) + assert_equal(mit.ndim, 3) + assert_equal(mit.nd, 3) + assert_equal(mit.numiter, 4) + for a, ia in zip(arrs, mit.iters): + assert_(a is ia.base) + + def test_broadcast_single_arg(self): + # gh-6899 + arrs = [np.empty((5, 6, 7))] + mit = np.broadcast(*arrs) + assert_equal(mit.shape, (5, 6, 7)) + assert_equal(mit.ndim, 3) + assert_equal(mit.nd, 3) + assert_equal(mit.numiter, 1) + assert_(arrs[0] is mit.iters[0].base) + + def test_number_of_arguments(self): + arr = np.empty((5,)) + for j in range(70): + arrs = [arr] * j + if j > 64: + assert_raises(ValueError, np.broadcast, *arrs) + else: + mit = np.broadcast(*arrs) + assert_equal(mit.numiter, j) + + def test_broadcast_error_kwargs(self): + #gh-13455 + arrs = [np.empty((5, 6, 7))] + mit = np.broadcast(*arrs) + mit2 = np.broadcast(*arrs, **{}) + assert_equal(mit.shape, mit2.shape) + assert_equal(mit.ndim, mit2.ndim) + assert_equal(mit.nd, mit2.nd) + assert_equal(mit.numiter, mit2.numiter) + assert_(mit.iters[0].base is mit2.iters[0].base) + + assert_raises(ValueError, np.broadcast, 1, **{'x': 1}) + + def test_shape_mismatch_error_message(self): + with pytest.raises(ValueError, match=r"arg 0 with shape \(1, 3\) and " + r"arg 2 with shape \(2,\)"): + np.broadcast([[1, 2, 3]], [[4], [5]], [6, 7]) + + +class TestKeepdims: + + class sub_array(np.ndarray): + def sum(self, axis=None, dtype=None, out=None): + return np.ndarray.sum(self, axis, dtype, out, keepdims=True) + + def test_raise(self): + sub_class = self.sub_array + x = np.arange(30).view(sub_class) + assert_raises(TypeError, np.sum, x, keepdims=True) + + +class TestTensordot: + + def test_zero_dimension(self): + # Test resolution to issue #5663 + a = np.ndarray((3,0)) + b = np.ndarray((0,4)) + td = np.tensordot(a, b, (1, 0)) + assert_array_equal(td, np.dot(a, b)) + assert_array_equal(td, np.einsum('ij,jk', a, b)) + + def test_zero_dimensional(self): + # gh-12130 + arr_0d = np.array(1) + ret = np.tensordot(arr_0d, arr_0d, ([], [])) # contracting no axes is well defined + assert_array_equal(ret, arr_0d) + + +class TestAsType: + + def test_astype(self): + data = [[1, 2], [3, 4]] + actual = np.astype( + np.array(data, dtype=np.int64), np.uint32 + ) + expected = np.array(data, dtype=np.uint32) + + assert_array_equal(actual, expected) + assert_equal(actual.dtype, expected.dtype) + + assert np.shares_memory( + actual, np.astype(actual, actual.dtype, copy=False) + ) + + actual = np.astype(np.int64(10), np.float64) + expected = np.float64(10) + assert_equal(actual, expected) + assert_equal(actual.dtype, expected.dtype) + + with pytest.raises(TypeError, match="Input should be a NumPy array"): + np.astype(data, np.float64) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_numerictypes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_numerictypes.py new file mode 100644 index 0000000000000000000000000000000000000000..db4509b9c28faadcc96444ceebc44ca65e4f3ebd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_numerictypes.py @@ -0,0 +1,620 @@ +import sys +import itertools + +import pytest +import numpy as np +import numpy._core.numerictypes as nt +from numpy._core.numerictypes import ( + issctype, sctype2char, maximum_sctype, sctypes +) +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_raises_regex, IS_PYPY +) + +# This is the structure of the table used for plain objects: +# +# +-+-+-+ +# |x|y|z| +# +-+-+-+ + +# Structure of a plain array description: +Pdescr = [ + ('x', 'i4', (2,)), + ('y', 'f8', (2, 2)), + ('z', 'u1')] + +# A plain list of tuples with values for testing: +PbufferT = [ + # x y z + ([3, 2], [[6., 4.], [6., 4.]], 8), + ([4, 3], [[7., 5.], [7., 5.]], 9), + ] + + +# This is the structure of the table used for nested objects (DON'T PANIC!): +# +# +-+---------------------------------+-----+----------+-+-+ +# |x|Info |color|info |y|z| +# | +-----+--+----------------+----+--+ +----+-----+ | | +# | |value|y2|Info2 |name|z2| |Name|Value| | | +# | | | +----+-----+--+--+ | | | | | | | +# | | | |name|value|y3|z3| | | | | | | | +# +-+-----+--+----+-----+--+--+----+--+-----+----+-----+-+-+ +# + +# The corresponding nested array description: +Ndescr = [ + ('x', 'i4', (2,)), + ('Info', [ + ('value', 'c16'), + ('y2', 'f8'), + ('Info2', [ + ('name', 'S2'), + ('value', 'c16', (2,)), + ('y3', 'f8', (2,)), + ('z3', 'u4', (2,))]), + ('name', 'S2'), + ('z2', 'b1')]), + ('color', 'S2'), + ('info', [ + ('Name', 'U8'), + ('Value', 'c16')]), + ('y', 'f8', (2, 2)), + ('z', 'u1')] + +NbufferT = [ + # x Info color info y z + # value y2 Info2 name z2 Name Value + # name value y3 z3 + ([3, 2], (6j, 6., (b'nn', [6j, 4j], [6., 4.], [1, 2]), b'NN', True), + b'cc', ('NN', 6j), [[6., 4.], [6., 4.]], 8), + ([4, 3], (7j, 7., (b'oo', [7j, 5j], [7., 5.], [2, 1]), b'OO', False), + b'dd', ('OO', 7j), [[7., 5.], [7., 5.]], 9), + ] + + +byteorder = {'little':'<', 'big':'>'}[sys.byteorder] + +def normalize_descr(descr): + "Normalize a description adding the platform byteorder." + + out = [] + for item in descr: + dtype = item[1] + if isinstance(dtype, str): + if dtype[0] not in ['|', '<', '>']: + onebyte = dtype[1:] == "1" + if onebyte or dtype[0] in ['S', 'V', 'b']: + dtype = "|" + dtype + else: + dtype = byteorder + dtype + if len(item) > 2 and np.prod(item[2]) > 1: + nitem = (item[0], dtype, item[2]) + else: + nitem = (item[0], dtype) + out.append(nitem) + elif isinstance(dtype, list): + l = normalize_descr(dtype) + out.append((item[0], l)) + else: + raise ValueError("Expected a str or list and got %s" % + (type(item))) + return out + + +############################################################ +# Creation tests +############################################################ + +class CreateZeros: + """Check the creation of heterogeneous arrays zero-valued""" + + def test_zeros0D(self): + """Check creation of 0-dimensional objects""" + h = np.zeros((), dtype=self._descr) + assert_(normalize_descr(self._descr) == h.dtype.descr) + assert_(h.dtype.fields['x'][0].name[:4] == 'void') + assert_(h.dtype.fields['x'][0].char == 'V') + assert_(h.dtype.fields['x'][0].type == np.void) + # A small check that data is ok + assert_equal(h['z'], np.zeros((), dtype='u1')) + + def test_zerosSD(self): + """Check creation of single-dimensional objects""" + h = np.zeros((2,), dtype=self._descr) + assert_(normalize_descr(self._descr) == h.dtype.descr) + assert_(h.dtype['y'].name[:4] == 'void') + assert_(h.dtype['y'].char == 'V') + assert_(h.dtype['y'].type == np.void) + # A small check that data is ok + assert_equal(h['z'], np.zeros((2,), dtype='u1')) + + def test_zerosMD(self): + """Check creation of multi-dimensional objects""" + h = np.zeros((2, 3), dtype=self._descr) + assert_(normalize_descr(self._descr) == h.dtype.descr) + assert_(h.dtype['z'].name == 'uint8') + assert_(h.dtype['z'].char == 'B') + assert_(h.dtype['z'].type == np.uint8) + # A small check that data is ok + assert_equal(h['z'], np.zeros((2, 3), dtype='u1')) + + +class TestCreateZerosPlain(CreateZeros): + """Check the creation of heterogeneous arrays zero-valued (plain)""" + _descr = Pdescr + +class TestCreateZerosNested(CreateZeros): + """Check the creation of heterogeneous arrays zero-valued (nested)""" + _descr = Ndescr + + +class CreateValues: + """Check the creation of heterogeneous arrays with values""" + + def test_tuple(self): + """Check creation from tuples""" + h = np.array(self._buffer, dtype=self._descr) + assert_(normalize_descr(self._descr) == h.dtype.descr) + if self.multiple_rows: + assert_(h.shape == (2,)) + else: + assert_(h.shape == ()) + + def test_list_of_tuple(self): + """Check creation from list of tuples""" + h = np.array([self._buffer], dtype=self._descr) + assert_(normalize_descr(self._descr) == h.dtype.descr) + if self.multiple_rows: + assert_(h.shape == (1, 2)) + else: + assert_(h.shape == (1,)) + + def test_list_of_list_of_tuple(self): + """Check creation from list of list of tuples""" + h = np.array([[self._buffer]], dtype=self._descr) + assert_(normalize_descr(self._descr) == h.dtype.descr) + if self.multiple_rows: + assert_(h.shape == (1, 1, 2)) + else: + assert_(h.shape == (1, 1)) + + +class TestCreateValuesPlainSingle(CreateValues): + """Check the creation of heterogeneous arrays (plain, single row)""" + _descr = Pdescr + multiple_rows = 0 + _buffer = PbufferT[0] + +class TestCreateValuesPlainMultiple(CreateValues): + """Check the creation of heterogeneous arrays (plain, multiple rows)""" + _descr = Pdescr + multiple_rows = 1 + _buffer = PbufferT + +class TestCreateValuesNestedSingle(CreateValues): + """Check the creation of heterogeneous arrays (nested, single row)""" + _descr = Ndescr + multiple_rows = 0 + _buffer = NbufferT[0] + +class TestCreateValuesNestedMultiple(CreateValues): + """Check the creation of heterogeneous arrays (nested, multiple rows)""" + _descr = Ndescr + multiple_rows = 1 + _buffer = NbufferT + + +############################################################ +# Reading tests +############################################################ + +class ReadValuesPlain: + """Check the reading of values in heterogeneous arrays (plain)""" + + def test_access_fields(self): + h = np.array(self._buffer, dtype=self._descr) + if not self.multiple_rows: + assert_(h.shape == ()) + assert_equal(h['x'], np.array(self._buffer[0], dtype='i4')) + assert_equal(h['y'], np.array(self._buffer[1], dtype='f8')) + assert_equal(h['z'], np.array(self._buffer[2], dtype='u1')) + else: + assert_(len(h) == 2) + assert_equal(h['x'], np.array([self._buffer[0][0], + self._buffer[1][0]], dtype='i4')) + assert_equal(h['y'], np.array([self._buffer[0][1], + self._buffer[1][1]], dtype='f8')) + assert_equal(h['z'], np.array([self._buffer[0][2], + self._buffer[1][2]], dtype='u1')) + + +class TestReadValuesPlainSingle(ReadValuesPlain): + """Check the creation of heterogeneous arrays (plain, single row)""" + _descr = Pdescr + multiple_rows = 0 + _buffer = PbufferT[0] + +class TestReadValuesPlainMultiple(ReadValuesPlain): + """Check the values of heterogeneous arrays (plain, multiple rows)""" + _descr = Pdescr + multiple_rows = 1 + _buffer = PbufferT + +class ReadValuesNested: + """Check the reading of values in heterogeneous arrays (nested)""" + + def test_access_top_fields(self): + """Check reading the top fields of a nested array""" + h = np.array(self._buffer, dtype=self._descr) + if not self.multiple_rows: + assert_(h.shape == ()) + assert_equal(h['x'], np.array(self._buffer[0], dtype='i4')) + assert_equal(h['y'], np.array(self._buffer[4], dtype='f8')) + assert_equal(h['z'], np.array(self._buffer[5], dtype='u1')) + else: + assert_(len(h) == 2) + assert_equal(h['x'], np.array([self._buffer[0][0], + self._buffer[1][0]], dtype='i4')) + assert_equal(h['y'], np.array([self._buffer[0][4], + self._buffer[1][4]], dtype='f8')) + assert_equal(h['z'], np.array([self._buffer[0][5], + self._buffer[1][5]], dtype='u1')) + + def test_nested1_acessors(self): + """Check reading the nested fields of a nested array (1st level)""" + h = np.array(self._buffer, dtype=self._descr) + if not self.multiple_rows: + assert_equal(h['Info']['value'], + np.array(self._buffer[1][0], dtype='c16')) + assert_equal(h['Info']['y2'], + np.array(self._buffer[1][1], dtype='f8')) + assert_equal(h['info']['Name'], + np.array(self._buffer[3][0], dtype='U2')) + assert_equal(h['info']['Value'], + np.array(self._buffer[3][1], dtype='c16')) + else: + assert_equal(h['Info']['value'], + np.array([self._buffer[0][1][0], + self._buffer[1][1][0]], + dtype='c16')) + assert_equal(h['Info']['y2'], + np.array([self._buffer[0][1][1], + self._buffer[1][1][1]], + dtype='f8')) + assert_equal(h['info']['Name'], + np.array([self._buffer[0][3][0], + self._buffer[1][3][0]], + dtype='U2')) + assert_equal(h['info']['Value'], + np.array([self._buffer[0][3][1], + self._buffer[1][3][1]], + dtype='c16')) + + def test_nested2_acessors(self): + """Check reading the nested fields of a nested array (2nd level)""" + h = np.array(self._buffer, dtype=self._descr) + if not self.multiple_rows: + assert_equal(h['Info']['Info2']['value'], + np.array(self._buffer[1][2][1], dtype='c16')) + assert_equal(h['Info']['Info2']['z3'], + np.array(self._buffer[1][2][3], dtype='u4')) + else: + assert_equal(h['Info']['Info2']['value'], + np.array([self._buffer[0][1][2][1], + self._buffer[1][1][2][1]], + dtype='c16')) + assert_equal(h['Info']['Info2']['z3'], + np.array([self._buffer[0][1][2][3], + self._buffer[1][1][2][3]], + dtype='u4')) + + def test_nested1_descriptor(self): + """Check access nested descriptors of a nested array (1st level)""" + h = np.array(self._buffer, dtype=self._descr) + assert_(h.dtype['Info']['value'].name == 'complex128') + assert_(h.dtype['Info']['y2'].name == 'float64') + assert_(h.dtype['info']['Name'].name == 'str256') + assert_(h.dtype['info']['Value'].name == 'complex128') + + def test_nested2_descriptor(self): + """Check access nested descriptors of a nested array (2nd level)""" + h = np.array(self._buffer, dtype=self._descr) + assert_(h.dtype['Info']['Info2']['value'].name == 'void256') + assert_(h.dtype['Info']['Info2']['z3'].name == 'void64') + + +class TestReadValuesNestedSingle(ReadValuesNested): + """Check the values of heterogeneous arrays (nested, single row)""" + _descr = Ndescr + multiple_rows = False + _buffer = NbufferT[0] + +class TestReadValuesNestedMultiple(ReadValuesNested): + """Check the values of heterogeneous arrays (nested, multiple rows)""" + _descr = Ndescr + multiple_rows = True + _buffer = NbufferT + +class TestEmptyField: + def test_assign(self): + a = np.arange(10, dtype=np.float32) + a.dtype = [("int", "<0i4"), ("float", "<2f4")] + assert_(a['int'].shape == (5, 0)) + assert_(a['float'].shape == (5, 2)) + + +class TestMultipleFields: + def setup_method(self): + self.ary = np.array([(1, 2, 3, 4), (5, 6, 7, 8)], dtype='i4,f4,i2,c8') + + def _bad_call(self): + return self.ary['f0', 'f1'] + + def test_no_tuple(self): + assert_raises(IndexError, self._bad_call) + + def test_return(self): + res = self.ary[['f0', 'f2']].tolist() + assert_(res == [(1, 3), (5, 7)]) + + +class TestIsSubDType: + # scalar types can be promoted into dtypes + wrappers = [np.dtype, lambda x: x] + + def test_both_abstract(self): + assert_(np.issubdtype(np.floating, np.inexact)) + assert_(not np.issubdtype(np.inexact, np.floating)) + + def test_same(self): + for cls in (np.float32, np.int32): + for w1, w2 in itertools.product(self.wrappers, repeat=2): + assert_(np.issubdtype(w1(cls), w2(cls))) + + def test_subclass(self): + # note we cannot promote floating to a dtype, as it would turn into a + # concrete type + for w in self.wrappers: + assert_(np.issubdtype(w(np.float32), np.floating)) + assert_(np.issubdtype(w(np.float64), np.floating)) + + def test_subclass_backwards(self): + for w in self.wrappers: + assert_(not np.issubdtype(np.floating, w(np.float32))) + assert_(not np.issubdtype(np.floating, w(np.float64))) + + def test_sibling_class(self): + for w1, w2 in itertools.product(self.wrappers, repeat=2): + assert_(not np.issubdtype(w1(np.float32), w2(np.float64))) + assert_(not np.issubdtype(w1(np.float64), w2(np.float32))) + + def test_nondtype_nonscalartype(self): + # See gh-14619 and gh-9505 which introduced the deprecation to fix + # this. These tests are directly taken from gh-9505 + assert not np.issubdtype(np.float32, 'float64') + assert not np.issubdtype(np.float32, 'f8') + assert not np.issubdtype(np.int32, str) + assert not np.issubdtype(np.int32, 'int64') + assert not np.issubdtype(np.str_, 'void') + # for the following the correct spellings are + # np.integer, np.floating, or np.complexfloating respectively: + assert not np.issubdtype(np.int8, int) # np.int8 is never np.int_ + assert not np.issubdtype(np.float32, float) + assert not np.issubdtype(np.complex64, complex) + assert not np.issubdtype(np.float32, "float") + assert not np.issubdtype(np.float64, "f") + + # Test the same for the correct first datatype and abstract one + # in the case of int, float, complex: + assert np.issubdtype(np.float64, 'float64') + assert np.issubdtype(np.float64, 'f8') + assert np.issubdtype(np.str_, str) + assert np.issubdtype(np.int64, 'int64') + assert np.issubdtype(np.void, 'void') + assert np.issubdtype(np.int8, np.integer) + assert np.issubdtype(np.float32, np.floating) + assert np.issubdtype(np.complex64, np.complexfloating) + assert np.issubdtype(np.float64, "float") + assert np.issubdtype(np.float32, "f") + + +class TestIsDType: + """ + Check correctness of `np.isdtype`. The test considers different argument + configurations: `np.isdtype(dtype, k1)` and `np.isdtype(dtype, (k1, k2))` + with concrete dtypes and dtype groups. + """ + dtype_group_dict = { + "signed integer": sctypes["int"], + "unsigned integer": sctypes["uint"], + "integral": sctypes["int"] + sctypes["uint"], + "real floating": sctypes["float"], + "complex floating": sctypes["complex"], + "numeric": ( + sctypes["int"] + sctypes["uint"] + sctypes["float"] + + sctypes["complex"] + ) + } + + @pytest.mark.parametrize( + "dtype,close_dtype", + [ + (np.int64, np.int32), (np.uint64, np.uint32), + (np.float64, np.float32), (np.complex128, np.complex64) + ] + ) + @pytest.mark.parametrize( + "dtype_group", + [ + None, "signed integer", "unsigned integer", "integral", + "real floating", "complex floating", "numeric" + ] + ) + def test_isdtype(self, dtype, close_dtype, dtype_group): + # First check if same dtypes return `true` and different ones + # give `false` (even if they're close in the dtype hierarchy!) + if dtype_group is None: + assert np.isdtype(dtype, dtype) + assert not np.isdtype(dtype, close_dtype) + assert np.isdtype(dtype, (dtype, close_dtype)) + + # Check that dtype and a dtype group that it belongs to + # return `true`, and `false` otherwise. + elif dtype in self.dtype_group_dict[dtype_group]: + assert np.isdtype(dtype, dtype_group) + assert np.isdtype(dtype, (close_dtype, dtype_group)) + else: + assert not np.isdtype(dtype, dtype_group) + + def test_isdtype_invalid_args(self): + with assert_raises_regex(TypeError, r".*must be a NumPy dtype.*"): + np.isdtype("int64", np.int64) + with assert_raises_regex(TypeError, r".*kind argument must.*"): + np.isdtype(np.int64, 1) + with assert_raises_regex(ValueError, r".*not a known kind name.*"): + np.isdtype(np.int64, "int64") + + def test_sctypes_complete(self): + # issue 26439: int32/intc were masking each other on 32-bit builds + assert np.int32 in sctypes['int'] + assert np.intc in sctypes['int'] + assert np.int64 in sctypes['int'] + assert np.uint32 in sctypes['uint'] + assert np.uintc in sctypes['uint'] + assert np.uint64 in sctypes['uint'] + +class TestSctypeDict: + def test_longdouble(self): + assert_(np._core.sctypeDict['float64'] is not np.longdouble) + assert_(np._core.sctypeDict['complex128'] is not np.clongdouble) + + def test_ulong(self): + assert np._core.sctypeDict['ulong'] is np.ulong + assert np.dtype(np.ulong) is np.dtype("ulong") + assert np.dtype(np.ulong).itemsize == np.dtype(np.long).itemsize + + +@pytest.mark.filterwarnings("ignore:.*maximum_sctype.*:DeprecationWarning") +class TestMaximumSctype: + + # note that parametrizing with sctype['int'] and similar would skip types + # with the same size (gh-11923) + + @pytest.mark.parametrize( + 't', [np.byte, np.short, np.intc, np.long, np.longlong] + ) + def test_int(self, t): + assert_equal(maximum_sctype(t), np._core.sctypes['int'][-1]) + + @pytest.mark.parametrize( + 't', [np.ubyte, np.ushort, np.uintc, np.ulong, np.ulonglong] + ) + def test_uint(self, t): + assert_equal(maximum_sctype(t), np._core.sctypes['uint'][-1]) + + @pytest.mark.parametrize('t', [np.half, np.single, np.double, np.longdouble]) + def test_float(self, t): + assert_equal(maximum_sctype(t), np._core.sctypes['float'][-1]) + + @pytest.mark.parametrize('t', [np.csingle, np.cdouble, np.clongdouble]) + def test_complex(self, t): + assert_equal(maximum_sctype(t), np._core.sctypes['complex'][-1]) + + @pytest.mark.parametrize('t', [np.bool, np.object_, np.str_, np.bytes_, + np.void]) + def test_other(self, t): + assert_equal(maximum_sctype(t), t) + + +class Test_sctype2char: + # This function is old enough that we're really just documenting the quirks + # at this point. + + def test_scalar_type(self): + assert_equal(sctype2char(np.double), 'd') + assert_equal(sctype2char(np.long), 'l') + assert_equal(sctype2char(np.int_), np.array(0).dtype.char) + assert_equal(sctype2char(np.str_), 'U') + assert_equal(sctype2char(np.bytes_), 'S') + + def test_other_type(self): + assert_equal(sctype2char(float), 'd') + assert_equal(sctype2char(list), 'O') + assert_equal(sctype2char(np.ndarray), 'O') + + def test_third_party_scalar_type(self): + from numpy._core._rational_tests import rational + assert_raises(KeyError, sctype2char, rational) + assert_raises(KeyError, sctype2char, rational(1)) + + def test_array_instance(self): + assert_equal(sctype2char(np.array([1.0, 2.0])), 'd') + + def test_abstract_type(self): + assert_raises(KeyError, sctype2char, np.floating) + + def test_non_type(self): + assert_raises(ValueError, sctype2char, 1) + +@pytest.mark.parametrize("rep, expected", [ + (np.int32, True), + (list, False), + (1.1, False), + (str, True), + (np.dtype(np.float64), True), + (np.dtype((np.int16, (3, 4))), True), + (np.dtype([('a', np.int8)]), True), + ]) +def test_issctype(rep, expected): + # ensure proper identification of scalar + # data-types by issctype() + actual = issctype(rep) + assert type(actual) is bool + assert_equal(actual, expected) + + +@pytest.mark.skipif(sys.flags.optimize > 1, + reason="no docstrings present to inspect when PYTHONOPTIMIZE/Py_OptimizeFlag > 1") +@pytest.mark.xfail(IS_PYPY, + reason="PyPy cannot modify tp_doc after PyType_Ready") +class TestDocStrings: + def test_platform_dependent_aliases(self): + if np.int64 is np.int_: + assert_('int64' in np.int_.__doc__) + elif np.int64 is np.longlong: + assert_('int64' in np.longlong.__doc__) + + +class TestScalarTypeNames: + # gh-9799 + + numeric_types = [ + np.byte, np.short, np.intc, np.long, np.longlong, + np.ubyte, np.ushort, np.uintc, np.ulong, np.ulonglong, + np.half, np.single, np.double, np.longdouble, + np.csingle, np.cdouble, np.clongdouble, + ] + + def test_names_are_unique(self): + # none of the above may be aliases for each other + assert len(set(self.numeric_types)) == len(self.numeric_types) + + # names must be unique + names = [t.__name__ for t in self.numeric_types] + assert len(set(names)) == len(names) + + @pytest.mark.parametrize('t', numeric_types) + def test_names_reflect_attributes(self, t): + """ Test that names correspond to where the type is under ``np.`` """ + assert getattr(np, t.__name__) is t + + @pytest.mark.parametrize('t', numeric_types) + def test_names_are_undersood_by_dtype(self, t): + """ Test the dtype constructor maps names back to the type """ + assert np.dtype(t.__name__).type is t + + +class TestBoolDefinition: + def test_bool_definition(self): + assert nt.bool is np.bool diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_overrides.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_overrides.py new file mode 100644 index 0000000000000000000000000000000000000000..cd20ceb5ac7f7633bad90272424821ac25258677 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_overrides.py @@ -0,0 +1,797 @@ +import inspect +import sys +import os +import tempfile +from io import StringIO +from unittest import mock +import pickle + +import pytest + +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_raises_regex) +from numpy.testing.overrides import get_overridable_numpy_array_functions +from numpy._core.overrides import ( + _get_implementing_args, array_function_dispatch, + verify_matching_signatures) + +def _return_not_implemented(self, *args, **kwargs): + return NotImplemented + + +# need to define this at the top level to test pickling +@array_function_dispatch(lambda array: (array,)) +def dispatched_one_arg(array): + """Docstring.""" + return 'original' + + +@array_function_dispatch(lambda array1, array2: (array1, array2)) +def dispatched_two_arg(array1, array2): + """Docstring.""" + return 'original' + + +class TestGetImplementingArgs: + + def test_ndarray(self): + array = np.array(1) + + args = _get_implementing_args([array]) + assert_equal(list(args), [array]) + + args = _get_implementing_args([array, array]) + assert_equal(list(args), [array]) + + args = _get_implementing_args([array, 1]) + assert_equal(list(args), [array]) + + args = _get_implementing_args([1, array]) + assert_equal(list(args), [array]) + + def test_ndarray_subclasses(self): + + class OverrideSub(np.ndarray): + __array_function__ = _return_not_implemented + + class NoOverrideSub(np.ndarray): + pass + + array = np.array(1).view(np.ndarray) + override_sub = np.array(1).view(OverrideSub) + no_override_sub = np.array(1).view(NoOverrideSub) + + args = _get_implementing_args([array, override_sub]) + assert_equal(list(args), [override_sub, array]) + + args = _get_implementing_args([array, no_override_sub]) + assert_equal(list(args), [no_override_sub, array]) + + args = _get_implementing_args( + [override_sub, no_override_sub]) + assert_equal(list(args), [override_sub, no_override_sub]) + + def test_ndarray_and_duck_array(self): + + class Other: + __array_function__ = _return_not_implemented + + array = np.array(1) + other = Other() + + args = _get_implementing_args([other, array]) + assert_equal(list(args), [other, array]) + + args = _get_implementing_args([array, other]) + assert_equal(list(args), [array, other]) + + def test_ndarray_subclass_and_duck_array(self): + + class OverrideSub(np.ndarray): + __array_function__ = _return_not_implemented + + class Other: + __array_function__ = _return_not_implemented + + array = np.array(1) + subarray = np.array(1).view(OverrideSub) + other = Other() + + assert_equal(_get_implementing_args([array, subarray, other]), + [subarray, array, other]) + assert_equal(_get_implementing_args([array, other, subarray]), + [subarray, array, other]) + + def test_many_duck_arrays(self): + + class A: + __array_function__ = _return_not_implemented + + class B(A): + __array_function__ = _return_not_implemented + + class C(A): + __array_function__ = _return_not_implemented + + class D: + __array_function__ = _return_not_implemented + + a = A() + b = B() + c = C() + d = D() + + assert_equal(_get_implementing_args([1]), []) + assert_equal(_get_implementing_args([a]), [a]) + assert_equal(_get_implementing_args([a, 1]), [a]) + assert_equal(_get_implementing_args([a, a, a]), [a]) + assert_equal(_get_implementing_args([a, d, a]), [a, d]) + assert_equal(_get_implementing_args([a, b]), [b, a]) + assert_equal(_get_implementing_args([b, a]), [b, a]) + assert_equal(_get_implementing_args([a, b, c]), [b, c, a]) + assert_equal(_get_implementing_args([a, c, b]), [c, b, a]) + + def test_too_many_duck_arrays(self): + namespace = dict(__array_function__=_return_not_implemented) + types = [type('A' + str(i), (object,), namespace) for i in range(65)] + relevant_args = [t() for t in types] + + actual = _get_implementing_args(relevant_args[:64]) + assert_equal(actual, relevant_args[:64]) + + with assert_raises_regex(TypeError, 'distinct argument types'): + _get_implementing_args(relevant_args) + + +class TestNDArrayArrayFunction: + + def test_method(self): + + class Other: + __array_function__ = _return_not_implemented + + class NoOverrideSub(np.ndarray): + pass + + class OverrideSub(np.ndarray): + __array_function__ = _return_not_implemented + + array = np.array([1]) + other = Other() + no_override_sub = array.view(NoOverrideSub) + override_sub = array.view(OverrideSub) + + result = array.__array_function__(func=dispatched_two_arg, + types=(np.ndarray,), + args=(array, 1.), kwargs={}) + assert_equal(result, 'original') + + result = array.__array_function__(func=dispatched_two_arg, + types=(np.ndarray, Other), + args=(array, other), kwargs={}) + assert_(result is NotImplemented) + + result = array.__array_function__(func=dispatched_two_arg, + types=(np.ndarray, NoOverrideSub), + args=(array, no_override_sub), + kwargs={}) + assert_equal(result, 'original') + + result = array.__array_function__(func=dispatched_two_arg, + types=(np.ndarray, OverrideSub), + args=(array, override_sub), + kwargs={}) + assert_equal(result, 'original') + + with assert_raises_regex(TypeError, 'no implementation found'): + np.concatenate((array, other)) + + expected = np.concatenate((array, array)) + result = np.concatenate((array, no_override_sub)) + assert_equal(result, expected.view(NoOverrideSub)) + result = np.concatenate((array, override_sub)) + assert_equal(result, expected.view(OverrideSub)) + + def test_no_wrapper(self): + # Regular numpy functions have wrappers, but do not presume + # all functions do (array creation ones do not): check that + # we just call the function in that case. + array = np.array(1) + func = lambda x: x * 2 + result = array.__array_function__(func=func, types=(np.ndarray,), + args=(array,), kwargs={}) + assert_equal(result, array * 2) + + def test_wrong_arguments(self): + # Check our implementation guards against wrong arguments. + a = np.array([1, 2]) + with pytest.raises(TypeError, match="args must be a tuple"): + a.__array_function__(np.reshape, (np.ndarray,), a, (2, 1)) + with pytest.raises(TypeError, match="kwargs must be a dict"): + a.__array_function__(np.reshape, (np.ndarray,), (a,), (2, 1)) + + def test_wrong_arguments(self): + # Check our implementation guards against wrong arguments. + a = np.array([1, 2]) + with pytest.raises(TypeError, match="args must be a tuple"): + a.__array_function__(np.reshape, (np.ndarray,), a, (2, 1)) + with pytest.raises(TypeError, match="kwargs must be a dict"): + a.__array_function__(np.reshape, (np.ndarray,), (a,), (2, 1)) + + +class TestArrayFunctionDispatch: + + def test_pickle(self): + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + roundtripped = pickle.loads( + pickle.dumps(dispatched_one_arg, protocol=proto)) + assert_(roundtripped is dispatched_one_arg) + + def test_name_and_docstring(self): + assert_equal(dispatched_one_arg.__name__, 'dispatched_one_arg') + if sys.flags.optimize < 2: + assert_equal(dispatched_one_arg.__doc__, 'Docstring.') + + def test_interface(self): + + class MyArray: + def __array_function__(self, func, types, args, kwargs): + return (self, func, types, args, kwargs) + + original = MyArray() + (obj, func, types, args, kwargs) = dispatched_one_arg(original) + assert_(obj is original) + assert_(func is dispatched_one_arg) + assert_equal(set(types), {MyArray}) + # assert_equal uses the overloaded np.iscomplexobj() internally + assert_(args == (original,)) + assert_equal(kwargs, {}) + + def test_not_implemented(self): + + class MyArray: + def __array_function__(self, func, types, args, kwargs): + return NotImplemented + + array = MyArray() + with assert_raises_regex(TypeError, 'no implementation found'): + dispatched_one_arg(array) + + def test_where_dispatch(self): + + class DuckArray: + def __array_function__(self, ufunc, method, *inputs, **kwargs): + return "overridden" + + array = np.array(1) + duck_array = DuckArray() + + result = np.std(array, where=duck_array) + + assert_equal(result, "overridden") + + +class TestVerifyMatchingSignatures: + + def test_verify_matching_signatures(self): + + verify_matching_signatures(lambda x: 0, lambda x: 0) + verify_matching_signatures(lambda x=None: 0, lambda x=None: 0) + verify_matching_signatures(lambda x=1: 0, lambda x=None: 0) + + with assert_raises(RuntimeError): + verify_matching_signatures(lambda a: 0, lambda b: 0) + with assert_raises(RuntimeError): + verify_matching_signatures(lambda x: 0, lambda x=None: 0) + with assert_raises(RuntimeError): + verify_matching_signatures(lambda x=None: 0, lambda y=None: 0) + with assert_raises(RuntimeError): + verify_matching_signatures(lambda x=1: 0, lambda y=1: 0) + + def test_array_function_dispatch(self): + + with assert_raises(RuntimeError): + @array_function_dispatch(lambda x: (x,)) + def f(y): + pass + + # should not raise + @array_function_dispatch(lambda x: (x,), verify=False) + def f(y): + pass + + +def _new_duck_type_and_implements(): + """Create a duck array type and implements functions.""" + HANDLED_FUNCTIONS = {} + + class MyArray: + def __array_function__(self, func, types, args, kwargs): + if func not in HANDLED_FUNCTIONS: + return NotImplemented + if not all(issubclass(t, MyArray) for t in types): + return NotImplemented + return HANDLED_FUNCTIONS[func](*args, **kwargs) + + def implements(numpy_function): + """Register an __array_function__ implementations.""" + def decorator(func): + HANDLED_FUNCTIONS[numpy_function] = func + return func + return decorator + + return (MyArray, implements) + + +class TestArrayFunctionImplementation: + + def test_one_arg(self): + MyArray, implements = _new_duck_type_and_implements() + + @implements(dispatched_one_arg) + def _(array): + return 'myarray' + + assert_equal(dispatched_one_arg(1), 'original') + assert_equal(dispatched_one_arg(MyArray()), 'myarray') + + def test_optional_args(self): + MyArray, implements = _new_duck_type_and_implements() + + @array_function_dispatch(lambda array, option=None: (array,)) + def func_with_option(array, option='default'): + return option + + @implements(func_with_option) + def my_array_func_with_option(array, new_option='myarray'): + return new_option + + # we don't need to implement every option on __array_function__ + # implementations + assert_equal(func_with_option(1), 'default') + assert_equal(func_with_option(1, option='extra'), 'extra') + assert_equal(func_with_option(MyArray()), 'myarray') + with assert_raises(TypeError): + func_with_option(MyArray(), option='extra') + + # but new options on implementations can't be used + result = my_array_func_with_option(MyArray(), new_option='yes') + assert_equal(result, 'yes') + with assert_raises(TypeError): + func_with_option(MyArray(), new_option='no') + + def test_not_implemented(self): + MyArray, implements = _new_duck_type_and_implements() + + @array_function_dispatch(lambda array: (array,), module='my') + def func(array): + return array + + array = np.array(1) + assert_(func(array) is array) + assert_equal(func.__module__, 'my') + + with assert_raises_regex( + TypeError, "no implementation found for 'my.func'"): + func(MyArray()) + + @pytest.mark.parametrize("name", ["concatenate", "mean", "asarray"]) + def test_signature_error_message_simple(self, name): + func = getattr(np, name) + try: + # all of these functions need an argument: + func() + except TypeError as e: + exc = e + + assert exc.args[0].startswith(f"{name}()") + + def test_signature_error_message(self): + # The lambda function will be named "", but the TypeError + # should show the name as "func" + def _dispatcher(): + return () + + @array_function_dispatch(_dispatcher) + def func(): + pass + + try: + func._implementation(bad_arg=3) + except TypeError as e: + expected_exception = e + + try: + func(bad_arg=3) + raise AssertionError("must fail") + except TypeError as exc: + if exc.args[0].startswith("_dispatcher"): + # We replace the qualname currently, but it used `__name__` + # (relevant functions have the same name and qualname anyway) + pytest.skip("Python version is not using __qualname__ for " + "TypeError formatting.") + + assert exc.args == expected_exception.args + + @pytest.mark.parametrize("value", [234, "this func is not replaced"]) + def test_dispatcher_error(self, value): + # If the dispatcher raises an error, we must not attempt to mutate it + error = TypeError(value) + + def dispatcher(): + raise error + + @array_function_dispatch(dispatcher) + def func(): + return 3 + + try: + func() + raise AssertionError("must fail") + except TypeError as exc: + assert exc is error # unmodified exception + + def test_properties(self): + # Check that str and repr are sensible + func = dispatched_two_arg + assert str(func) == str(func._implementation) + repr_no_id = repr(func).split("at ")[0] + repr_no_id_impl = repr(func._implementation).split("at ")[0] + assert repr_no_id == repr_no_id_impl + + @pytest.mark.parametrize("func", [ + lambda x, y: 0, # no like argument + lambda like=None: 0, # not keyword only + lambda *, like=None, a=3: 0, # not last (not that it matters) + ]) + def test_bad_like_sig(self, func): + # We sanity check the signature, and these should fail. + with pytest.raises(RuntimeError): + array_function_dispatch()(func) + + def test_bad_like_passing(self): + # Cover internal sanity check for passing like as first positional arg + def func(*, like=None): + pass + + func_with_like = array_function_dispatch()(func) + with pytest.raises(TypeError): + func_with_like() + with pytest.raises(TypeError): + func_with_like(like=234) + + def test_too_many_args(self): + # Mainly a unit-test to increase coverage + objs = [] + for i in range(80): + class MyArr: + def __array_function__(self, *args, **kwargs): + return NotImplemented + + objs.append(MyArr()) + + def _dispatch(*args): + return args + + @array_function_dispatch(_dispatch) + def func(*args): + pass + + with pytest.raises(TypeError, match="maximum number"): + func(*objs) + + + +class TestNDArrayMethods: + + def test_repr(self): + # gh-12162: should still be defined even if __array_function__ doesn't + # implement np.array_repr() + + class MyArray(np.ndarray): + def __array_function__(*args, **kwargs): + return NotImplemented + + array = np.array(1).view(MyArray) + assert_equal(repr(array), 'MyArray(1)') + assert_equal(str(array), '1') + + +class TestNumPyFunctions: + + def test_set_module(self): + assert_equal(np.sum.__module__, 'numpy') + assert_equal(np.char.equal.__module__, 'numpy.char') + assert_equal(np.fft.fft.__module__, 'numpy.fft') + assert_equal(np.linalg.solve.__module__, 'numpy.linalg') + + def test_inspect_sum(self): + signature = inspect.signature(np.sum) + assert_('axis' in signature.parameters) + + def test_override_sum(self): + MyArray, implements = _new_duck_type_and_implements() + + @implements(np.sum) + def _(array): + return 'yes' + + assert_equal(np.sum(MyArray()), 'yes') + + def test_sum_on_mock_array(self): + + # We need a proxy for mocks because __array_function__ is only looked + # up in the class dict + class ArrayProxy: + def __init__(self, value): + self.value = value + def __array_function__(self, *args, **kwargs): + return self.value.__array_function__(*args, **kwargs) + def __array__(self, *args, **kwargs): + return self.value.__array__(*args, **kwargs) + + proxy = ArrayProxy(mock.Mock(spec=ArrayProxy)) + proxy.value.__array_function__.return_value = 1 + result = np.sum(proxy) + assert_equal(result, 1) + proxy.value.__array_function__.assert_called_once_with( + np.sum, (ArrayProxy,), (proxy,), {}) + proxy.value.__array__.assert_not_called() + + def test_sum_forwarding_implementation(self): + + class MyArray(np.ndarray): + + def sum(self, axis, out): + return 'summed' + + def __array_function__(self, func, types, args, kwargs): + return super().__array_function__(func, types, args, kwargs) + + # note: the internal implementation of np.sum() calls the .sum() method + array = np.array(1).view(MyArray) + assert_equal(np.sum(array), 'summed') + + +class TestArrayLike: + def setup_method(self): + class MyArray: + def __init__(self, function=None): + self.function = function + + def __array_function__(self, func, types, args, kwargs): + assert func is getattr(np, func.__name__) + try: + my_func = getattr(self, func.__name__) + except AttributeError: + return NotImplemented + return my_func(*args, **kwargs) + + self.MyArray = MyArray + + class MyNoArrayFunctionArray: + def __init__(self, function=None): + self.function = function + + self.MyNoArrayFunctionArray = MyNoArrayFunctionArray + + class MySubclass(np.ndarray): + def __array_function__(self, func, types, args, kwargs): + result = super().__array_function__(func, types, args, kwargs) + return result.view(self.__class__) + + self.MySubclass = MySubclass + + def add_method(self, name, arr_class, enable_value_error=False): + def _definition(*args, **kwargs): + # Check that `like=` isn't propagated downstream + assert 'like' not in kwargs + + if enable_value_error and 'value_error' in kwargs: + raise ValueError + + return arr_class(getattr(arr_class, name)) + setattr(arr_class, name, _definition) + + def func_args(*args, **kwargs): + return args, kwargs + + def test_array_like_not_implemented(self): + self.add_method('array', self.MyArray) + + ref = self.MyArray.array() + + with assert_raises_regex(TypeError, 'no implementation found'): + array_like = np.asarray(1, like=ref) + + _array_tests = [ + ('array', *func_args((1,))), + ('asarray', *func_args((1,))), + ('asanyarray', *func_args((1,))), + ('ascontiguousarray', *func_args((2, 3))), + ('asfortranarray', *func_args((2, 3))), + ('require', *func_args((np.arange(6).reshape(2, 3),), + requirements=['A', 'F'])), + ('empty', *func_args((1,))), + ('full', *func_args((1,), 2)), + ('ones', *func_args((1,))), + ('zeros', *func_args((1,))), + ('arange', *func_args(3)), + ('frombuffer', *func_args(b'\x00' * 8, dtype=int)), + ('fromiter', *func_args(range(3), dtype=int)), + ('fromstring', *func_args('1,2', dtype=int, sep=',')), + ('loadtxt', *func_args(lambda: StringIO('0 1\n2 3'))), + ('genfromtxt', *func_args(lambda: StringIO('1,2.1'), + dtype=[('int', 'i8'), ('float', 'f8')], + delimiter=',')), + ] + + + def test_nep35_functions_as_array_functions(self,): + all_array_functions = get_overridable_numpy_array_functions() + like_array_functions_subset = { + getattr(np, func_name) for func_name, *_ in self.__class__._array_tests + } + assert like_array_functions_subset.issubset(all_array_functions) + + nep35_python_functions = { + np.eye, np.fromfunction, np.full, np.genfromtxt, + np.identity, np.loadtxt, np.ones, np.require, np.tri, + } + assert nep35_python_functions.issubset(all_array_functions) + + nep35_C_functions = { + np.arange, np.array, np.asanyarray, np.asarray, + np.ascontiguousarray, np.asfortranarray, np.empty, + np.frombuffer, np.fromfile, np.fromiter, np.fromstring, + np.zeros, + } + assert nep35_C_functions.issubset(all_array_functions) + + @pytest.mark.parametrize('function, args, kwargs', _array_tests) + @pytest.mark.parametrize('numpy_ref', [True, False]) + def test_array_like(self, function, args, kwargs, numpy_ref): + self.add_method('array', self.MyArray) + self.add_method(function, self.MyArray) + np_func = getattr(np, function) + my_func = getattr(self.MyArray, function) + + if numpy_ref is True: + ref = np.array(1) + else: + ref = self.MyArray.array() + + like_args = tuple(a() if callable(a) else a for a in args) + array_like = np_func(*like_args, **kwargs, like=ref) + + if numpy_ref is True: + assert type(array_like) is np.ndarray + + np_args = tuple(a() if callable(a) else a for a in args) + np_arr = np_func(*np_args, **kwargs) + + # Special-case np.empty to ensure values match + if function == "empty": + np_arr.fill(1) + array_like.fill(1) + + assert_equal(array_like, np_arr) + else: + assert type(array_like) is self.MyArray + assert array_like.function is my_func + + @pytest.mark.parametrize('function, args, kwargs', _array_tests) + @pytest.mark.parametrize('ref', [1, [1], "MyNoArrayFunctionArray"]) + def test_no_array_function_like(self, function, args, kwargs, ref): + self.add_method('array', self.MyNoArrayFunctionArray) + self.add_method(function, self.MyNoArrayFunctionArray) + np_func = getattr(np, function) + + # Instantiate ref if it's the MyNoArrayFunctionArray class + if ref == "MyNoArrayFunctionArray": + ref = self.MyNoArrayFunctionArray.array() + + like_args = tuple(a() if callable(a) else a for a in args) + + with assert_raises_regex(TypeError, + 'The `like` argument must be an array-like that implements'): + np_func(*like_args, **kwargs, like=ref) + + @pytest.mark.parametrize('function, args, kwargs', _array_tests) + def test_subclass(self, function, args, kwargs): + ref = np.array(1).view(self.MySubclass) + np_func = getattr(np, function) + like_args = tuple(a() if callable(a) else a for a in args) + array_like = np_func(*like_args, **kwargs, like=ref) + assert type(array_like) is self.MySubclass + if np_func is np.empty: + return + np_args = tuple(a() if callable(a) else a for a in args) + np_arr = np_func(*np_args, **kwargs) + assert_equal(array_like.view(np.ndarray), np_arr) + + @pytest.mark.parametrize('numpy_ref', [True, False]) + def test_array_like_fromfile(self, numpy_ref): + self.add_method('array', self.MyArray) + self.add_method("fromfile", self.MyArray) + + if numpy_ref is True: + ref = np.array(1) + else: + ref = self.MyArray.array() + + data = np.random.random(5) + + with tempfile.TemporaryDirectory() as tmpdir: + fname = os.path.join(tmpdir, "testfile") + data.tofile(fname) + + array_like = np.fromfile(fname, like=ref) + if numpy_ref is True: + assert type(array_like) is np.ndarray + np_res = np.fromfile(fname, like=ref) + assert_equal(np_res, data) + assert_equal(array_like, np_res) + else: + assert type(array_like) is self.MyArray + assert array_like.function is self.MyArray.fromfile + + def test_exception_handling(self): + self.add_method('array', self.MyArray, enable_value_error=True) + + ref = self.MyArray.array() + + with assert_raises(TypeError): + # Raises the error about `value_error` being invalid first + np.array(1, value_error=True, like=ref) + + @pytest.mark.parametrize('function, args, kwargs', _array_tests) + def test_like_as_none(self, function, args, kwargs): + self.add_method('array', self.MyArray) + self.add_method(function, self.MyArray) + np_func = getattr(np, function) + + like_args = tuple(a() if callable(a) else a for a in args) + # required for loadtxt and genfromtxt to init w/o error. + like_args_exp = tuple(a() if callable(a) else a for a in args) + + array_like = np_func(*like_args, **kwargs, like=None) + expected = np_func(*like_args_exp, **kwargs) + # Special-case np.empty to ensure values match + if function == "empty": + array_like.fill(1) + expected.fill(1) + assert_equal(array_like, expected) + + +def test_function_like(): + # We provide a `__get__` implementation, make sure it works + assert type(np.mean) is np._core._multiarray_umath._ArrayFunctionDispatcher + + class MyClass: + def __array__(self, dtype=None, copy=None): + # valid argument to mean: + return np.arange(3) + + func1 = staticmethod(np.mean) + func2 = np.mean + func3 = classmethod(np.mean) + + m = MyClass() + assert m.func1([10]) == 10 + assert m.func2() == 1 # mean of the arange + with pytest.raises(TypeError, match="unsupported operand type"): + # Tries to operate on the class + m.func3() + + # Manual binding also works (the above may shortcut): + bound = np.mean.__get__(m, MyClass) + assert bound() == 1 + + bound = np.mean.__get__(None, MyClass) # unbound actually + assert bound([10]) == 10 + + bound = np.mean.__get__(MyClass) # classmethod + with pytest.raises(TypeError, match="unsupported operand type"): + bound() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_print.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_print.py new file mode 100644 index 0000000000000000000000000000000000000000..7f16449704a130a7df376f545fecfaf386cb4875 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_print.py @@ -0,0 +1,202 @@ +import sys + +import pytest + +import numpy as np +from numpy.testing import assert_, assert_equal, IS_MUSL +from numpy._core.tests._locales import CommaDecimalPointLocale + + +from io import StringIO + +_REF = {np.inf: 'inf', -np.inf: '-inf', np.nan: 'nan'} + + +@pytest.mark.parametrize('tp', [np.float32, np.double, np.longdouble]) +def test_float_types(tp): + """ Check formatting. + + This is only for the str function, and only for simple types. + The precision of np.float32 and np.longdouble aren't the same as the + python float precision. + + """ + for x in [0, 1, -1, 1e20]: + assert_equal(str(tp(x)), str(float(x)), + err_msg='Failed str formatting for type %s' % tp) + + if tp(1e16).itemsize > 4: + assert_equal(str(tp(1e16)), str(float('1e16')), + err_msg='Failed str formatting for type %s' % tp) + else: + ref = '1e+16' + assert_equal(str(tp(1e16)), ref, + err_msg='Failed str formatting for type %s' % tp) + + +@pytest.mark.parametrize('tp', [np.float32, np.double, np.longdouble]) +def test_nan_inf_float(tp): + """ Check formatting of nan & inf. + + This is only for the str function, and only for simple types. + The precision of np.float32 and np.longdouble aren't the same as the + python float precision. + + """ + for x in [np.inf, -np.inf, np.nan]: + assert_equal(str(tp(x)), _REF[x], + err_msg='Failed str formatting for type %s' % tp) + + +@pytest.mark.parametrize('tp', [np.complex64, np.cdouble, np.clongdouble]) +def test_complex_types(tp): + """Check formatting of complex types. + + This is only for the str function, and only for simple types. + The precision of np.float32 and np.longdouble aren't the same as the + python float precision. + + """ + for x in [0, 1, -1, 1e20]: + assert_equal(str(tp(x)), str(complex(x)), + err_msg='Failed str formatting for type %s' % tp) + assert_equal(str(tp(x*1j)), str(complex(x*1j)), + err_msg='Failed str formatting for type %s' % tp) + assert_equal(str(tp(x + x*1j)), str(complex(x + x*1j)), + err_msg='Failed str formatting for type %s' % tp) + + if tp(1e16).itemsize > 8: + assert_equal(str(tp(1e16)), str(complex(1e16)), + err_msg='Failed str formatting for type %s' % tp) + else: + ref = '(1e+16+0j)' + assert_equal(str(tp(1e16)), ref, + err_msg='Failed str formatting for type %s' % tp) + + +@pytest.mark.parametrize('dtype', [np.complex64, np.cdouble, np.clongdouble]) +def test_complex_inf_nan(dtype): + """Check inf/nan formatting of complex types.""" + TESTS = { + complex(np.inf, 0): "(inf+0j)", + complex(0, np.inf): "infj", + complex(-np.inf, 0): "(-inf+0j)", + complex(0, -np.inf): "-infj", + complex(np.inf, 1): "(inf+1j)", + complex(1, np.inf): "(1+infj)", + complex(-np.inf, 1): "(-inf+1j)", + complex(1, -np.inf): "(1-infj)", + complex(np.nan, 0): "(nan+0j)", + complex(0, np.nan): "nanj", + complex(-np.nan, 0): "(nan+0j)", + complex(0, -np.nan): "nanj", + complex(np.nan, 1): "(nan+1j)", + complex(1, np.nan): "(1+nanj)", + complex(-np.nan, 1): "(nan+1j)", + complex(1, -np.nan): "(1+nanj)", + } + for c, s in TESTS.items(): + assert_equal(str(dtype(c)), s) + + +# print tests +def _test_redirected_print(x, tp, ref=None): + file = StringIO() + file_tp = StringIO() + stdout = sys.stdout + try: + sys.stdout = file_tp + print(tp(x)) + sys.stdout = file + if ref: + print(ref) + else: + print(x) + finally: + sys.stdout = stdout + + assert_equal(file.getvalue(), file_tp.getvalue(), + err_msg='print failed for type%s' % tp) + + +@pytest.mark.parametrize('tp', [np.float32, np.double, np.longdouble]) +def test_float_type_print(tp): + """Check formatting when using print """ + for x in [0, 1, -1, 1e20]: + _test_redirected_print(float(x), tp) + + for x in [np.inf, -np.inf, np.nan]: + _test_redirected_print(float(x), tp, _REF[x]) + + if tp(1e16).itemsize > 4: + _test_redirected_print(float(1e16), tp) + else: + ref = '1e+16' + _test_redirected_print(float(1e16), tp, ref) + + +@pytest.mark.parametrize('tp', [np.complex64, np.cdouble, np.clongdouble]) +def test_complex_type_print(tp): + """Check formatting when using print """ + # We do not create complex with inf/nan directly because the feature is + # missing in python < 2.6 + for x in [0, 1, -1, 1e20]: + _test_redirected_print(complex(x), tp) + + if tp(1e16).itemsize > 8: + _test_redirected_print(complex(1e16), tp) + else: + ref = '(1e+16+0j)' + _test_redirected_print(complex(1e16), tp, ref) + + _test_redirected_print(complex(np.inf, 1), tp, '(inf+1j)') + _test_redirected_print(complex(-np.inf, 1), tp, '(-inf+1j)') + _test_redirected_print(complex(-np.nan, 1), tp, '(nan+1j)') + + +def test_scalar_format(): + """Test the str.format method with NumPy scalar types""" + tests = [('{0}', True, np.bool), + ('{0}', False, np.bool), + ('{0:d}', 130, np.uint8), + ('{0:d}', 50000, np.uint16), + ('{0:d}', 3000000000, np.uint32), + ('{0:d}', 15000000000000000000, np.uint64), + ('{0:d}', -120, np.int8), + ('{0:d}', -30000, np.int16), + ('{0:d}', -2000000000, np.int32), + ('{0:d}', -7000000000000000000, np.int64), + ('{0:g}', 1.5, np.float16), + ('{0:g}', 1.5, np.float32), + ('{0:g}', 1.5, np.float64), + ('{0:g}', 1.5, np.longdouble), + ('{0:g}', 1.5+0.5j, np.complex64), + ('{0:g}', 1.5+0.5j, np.complex128), + ('{0:g}', 1.5+0.5j, np.clongdouble)] + + for (fmat, val, valtype) in tests: + try: + assert_equal(fmat.format(val), fmat.format(valtype(val)), + "failed with val %s, type %s" % (val, valtype)) + except ValueError as e: + assert_(False, + "format raised exception (fmt='%s', val=%s, type=%s, exc='%s')" % + (fmat, repr(val), repr(valtype), str(e))) + + +# +# Locale tests: scalar types formatting should be independent of the locale +# + +class TestCommaDecimalPointLocale(CommaDecimalPointLocale): + + def test_locale_single(self): + assert_equal(str(np.float32(1.2)), str(float(1.2))) + + def test_locale_double(self): + assert_equal(str(np.double(1.2)), str(float(1.2))) + + @pytest.mark.skipif(IS_MUSL, + reason="test flaky on musllinux") + def test_locale_longdouble(self): + assert_equal(str(np.longdouble('1.2')), str(float(1.2))) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_protocols.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_protocols.py new file mode 100644 index 0000000000000000000000000000000000000000..1709629fa89b3ccc482bad501fd45917b18cbddd --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_protocols.py @@ -0,0 +1,45 @@ +import pytest +import warnings +import numpy as np + + +@pytest.mark.filterwarnings("error") +def test_getattr_warning(): + # issue gh-14735: make sure we clear only getattr errors, and let warnings + # through + class Wrapper: + def __init__(self, array): + self.array = array + + def __len__(self): + return len(self.array) + + def __getitem__(self, item): + return type(self)(self.array[item]) + + def __getattr__(self, name): + if name.startswith("__array_"): + warnings.warn("object got converted", UserWarning, stacklevel=1) + + return getattr(self.array, name) + + def __repr__(self): + return "".format(self=self) + + array = Wrapper(np.arange(10)) + with pytest.raises(UserWarning, match="object got converted"): + np.asarray(array) + + +def test_array_called(): + class Wrapper: + val = '0' * 100 + + def __array__(self, dtype=None, copy=None): + return np.array([self.val], dtype=dtype, copy=copy) + + + wrapped = Wrapper() + arr = np.array(wrapped, dtype=str) + assert arr.dtype == 'U100' + assert arr[0] == Wrapper.val diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_records.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_records.py new file mode 100644 index 0000000000000000000000000000000000000000..97946cdb0fa34d372b2d7b8f37ccdd0c84827a8b --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_records.py @@ -0,0 +1,540 @@ +import collections.abc +import textwrap +from io import BytesIO +from os import path +from pathlib import Path +import pickle + +import pytest + +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_array_almost_equal, + assert_raises, temppath, + ) + + +class TestFromrecords: + def test_fromrecords(self): + r = np.rec.fromrecords([[456, 'dbe', 1.2], [2, 'de', 1.3]], + names='col1,col2,col3') + assert_equal(r[0].item(), (456, 'dbe', 1.2)) + assert_equal(r['col1'].dtype.kind, 'i') + assert_equal(r['col2'].dtype.kind, 'U') + assert_equal(r['col2'].dtype.itemsize, 12) + assert_equal(r['col3'].dtype.kind, 'f') + + def test_fromrecords_0len(self): + """ Verify fromrecords works with a 0-length input """ + dtype = [('a', float), ('b', float)] + r = np.rec.fromrecords([], dtype=dtype) + assert_equal(r.shape, (0,)) + + def test_fromrecords_2d(self): + data = [ + [(1, 2), (3, 4), (5, 6)], + [(6, 5), (4, 3), (2, 1)] + ] + expected_a = [[1, 3, 5], [6, 4, 2]] + expected_b = [[2, 4, 6], [5, 3, 1]] + + # try with dtype + r1 = np.rec.fromrecords(data, dtype=[('a', int), ('b', int)]) + assert_equal(r1['a'], expected_a) + assert_equal(r1['b'], expected_b) + + # try with names + r2 = np.rec.fromrecords(data, names=['a', 'b']) + assert_equal(r2['a'], expected_a) + assert_equal(r2['b'], expected_b) + + assert_equal(r1, r2) + + def test_method_array(self): + r = np.rec.array( + b'abcdefg' * 100, formats='i2,S3,i4', shape=3, byteorder='big' + ) + assert_equal(r[1].item(), (25444, b'efg', 1633837924)) + + def test_method_array2(self): + r = np.rec.array( + [ + (1, 11, 'a'), (2, 22, 'b'), (3, 33, 'c'), (4, 44, 'd'), + (5, 55, 'ex'), (6, 66, 'f'), (7, 77, 'g') + ], + formats='u1,f4,S1' + ) + assert_equal(r[1].item(), (2, 22.0, b'b')) + + def test_recarray_slices(self): + r = np.rec.array( + [ + (1, 11, 'a'), (2, 22, 'b'), (3, 33, 'c'), (4, 44, 'd'), + (5, 55, 'ex'), (6, 66, 'f'), (7, 77, 'g') + ], + formats='u1,f4,S1' + ) + assert_equal(r[1::2][1].item(), (4, 44.0, b'd')) + + def test_recarray_fromarrays(self): + x1 = np.array([1, 2, 3, 4]) + x2 = np.array(['a', 'dd', 'xyz', '12']) + x3 = np.array([1.1, 2, 3, 4]) + r = np.rec.fromarrays([x1, x2, x3], names='a,b,c') + assert_equal(r[1].item(), (2, 'dd', 2.0)) + x1[1] = 34 + assert_equal(r.a, np.array([1, 2, 3, 4])) + + def test_recarray_fromfile(self): + data_dir = path.join(path.dirname(__file__), 'data') + filename = path.join(data_dir, 'recarray_from_file.fits') + fd = open(filename, 'rb') + fd.seek(2880 * 2) + r1 = np.rec.fromfile(fd, formats='f8,i4,S5', shape=3, byteorder='big') + fd.seek(2880 * 2) + r2 = np.rec.array(fd, formats='f8,i4,S5', shape=3, byteorder='big') + fd.seek(2880 * 2) + bytes_array = BytesIO() + bytes_array.write(fd.read()) + bytes_array.seek(0) + r3 = np.rec.fromfile( + bytes_array, formats='f8,i4,S5', shape=3, byteorder='big' + ) + fd.close() + assert_equal(r1, r2) + assert_equal(r2, r3) + + def test_recarray_from_obj(self): + count = 10 + a = np.zeros(count, dtype='O') + b = np.zeros(count, dtype='f8') + c = np.zeros(count, dtype='f8') + for i in range(len(a)): + a[i] = list(range(1, 10)) + + mine = np.rec.fromarrays([a, b, c], names='date,data1,data2') + for i in range(len(a)): + assert_(mine.date[i] == list(range(1, 10))) + assert_(mine.data1[i] == 0.0) + assert_(mine.data2[i] == 0.0) + + def test_recarray_repr(self): + a = np.array([(1, 0.1), (2, 0.2)], + dtype=[('foo', ' 2) & (a < 6)) + xb = np.where((b > 2) & (b < 6)) + ya = ((a > 2) & (a < 6)) + yb = ((b > 2) & (b < 6)) + assert_array_almost_equal(xa, ya.nonzero()) + assert_array_almost_equal(xb, yb.nonzero()) + assert_(np.all(a[ya] > 0.5)) + assert_(np.all(b[yb] > 0.5)) + + def test_endian_where(self): + # GitHub issue #369 + net = np.zeros(3, dtype='>f4') + net[1] = 0.00458849 + net[2] = 0.605202 + max_net = net.max() + test = np.where(net <= 0., max_net, net) + correct = np.array([ 0.60520202, 0.00458849, 0.60520202]) + assert_array_almost_equal(test, correct) + + def test_endian_recarray(self): + # Ticket #2185 + dt = np.dtype([ + ('head', '>u4'), + ('data', '>u4', 2), + ]) + buf = np.recarray(1, dtype=dt) + buf[0]['head'] = 1 + buf[0]['data'][:] = [1, 1] + + h = buf[0]['head'] + d = buf[0]['data'][0] + buf[0]['head'] = h + buf[0]['data'][0] = d + assert_(buf[0]['head'] == 1) + + def test_mem_dot(self): + # Ticket #106 + x = np.random.randn(0, 1) + y = np.random.randn(10, 1) + # Dummy array to detect bad memory access: + _z = np.ones(10) + _dummy = np.empty((0, 10)) + z = np.lib.stride_tricks.as_strided(_z, _dummy.shape, _dummy.strides) + np.dot(x, np.transpose(y), out=z) + assert_equal(_z, np.ones(10)) + # Do the same for the built-in dot: + np._core.multiarray.dot(x, np.transpose(y), out=z) + assert_equal(_z, np.ones(10)) + + def test_arange_endian(self): + # Ticket #111 + ref = np.arange(10) + x = np.arange(10, dtype=' 1 and x['two'] > 2) + + def test_method_args(self): + # Make sure methods and functions have same default axis + # keyword and arguments + funcs1 = ['argmax', 'argmin', 'sum', 'any', 'all', 'cumsum', + 'cumprod', 'prod', 'std', 'var', 'mean', + 'round', 'min', 'max', 'argsort', 'sort'] + funcs2 = ['compress', 'take', 'repeat'] + + for func in funcs1: + arr = np.random.rand(8, 7) + arr2 = arr.copy() + res1 = getattr(arr, func)() + res2 = getattr(np, func)(arr2) + if res1 is None: + res1 = arr + + if res1.dtype.kind in 'uib': + assert_((res1 == res2).all(), func) + else: + assert_(abs(res1-res2).max() < 1e-8, func) + + for func in funcs2: + arr1 = np.random.rand(8, 7) + arr2 = np.random.rand(8, 7) + res1 = None + if func == 'compress': + arr1 = arr1.ravel() + res1 = getattr(arr2, func)(arr1) + else: + arr2 = (15*arr2).astype(int).ravel() + if res1 is None: + res1 = getattr(arr1, func)(arr2) + res2 = getattr(np, func)(arr1, arr2) + assert_(abs(res1-res2).max() < 1e-8, func) + + def test_mem_lexsort_strings(self): + # Ticket #298 + lst = ['abc', 'cde', 'fgh'] + np.lexsort((lst,)) + + def test_fancy_index(self): + # Ticket #302 + x = np.array([1, 2])[np.array([0])] + assert_equal(x.shape, (1,)) + + def test_recarray_copy(self): + # Ticket #312 + dt = [('x', np.int16), ('y', np.float64)] + ra = np.array([(1, 2.3)], dtype=dt) + rb = np.rec.array(ra, dtype=dt) + rb['x'] = 2. + assert_(ra['x'] != rb['x']) + + def test_rec_fromarray(self): + # Ticket #322 + x1 = np.array([[1, 2], [3, 4], [5, 6]]) + x2 = np.array(['a', 'dd', 'xyz']) + x3 = np.array([1.1, 2, 3]) + np.rec.fromarrays([x1, x2, x3], formats="(2,)i4,S3,f8") + + def test_object_array_assign(self): + x = np.empty((2, 2), object) + x.flat[2] = (1, 2, 3) + assert_equal(x.flat[2], (1, 2, 3)) + + def test_ndmin_float64(self): + # Ticket #324 + x = np.array([1, 2, 3], dtype=np.float64) + assert_equal(np.array(x, dtype=np.float32, ndmin=2).ndim, 2) + assert_equal(np.array(x, dtype=np.float64, ndmin=2).ndim, 2) + + def test_ndmin_order(self): + # Issue #465 and related checks + assert_(np.array([1, 2], order='C', ndmin=3).flags.c_contiguous) + assert_(np.array([1, 2], order='F', ndmin=3).flags.f_contiguous) + assert_(np.array(np.ones((2, 2), order='F'), ndmin=3).flags.f_contiguous) + assert_(np.array(np.ones((2, 2), order='C'), ndmin=3).flags.c_contiguous) + + def test_mem_axis_minimization(self): + # Ticket #327 + data = np.arange(5) + data = np.add.outer(data, data) + + def test_mem_float_imag(self): + # Ticket #330 + np.float64(1.0).imag + + def test_dtype_tuple(self): + # Ticket #334 + assert_(np.dtype('i4') == np.dtype(('i4', ()))) + + def test_dtype_posttuple(self): + # Ticket #335 + np.dtype([('col1', '()i4')]) + + def test_numeric_carray_compare(self): + # Ticket #341 + assert_equal(np.array(['X'], 'c'), b'X') + + def test_string_array_size(self): + # Ticket #342 + assert_raises(ValueError, + np.array, [['X'], ['X', 'X', 'X']], '|S1') + + def test_dtype_repr(self): + # Ticket #344 + dt1 = np.dtype(('uint32', 2)) + dt2 = np.dtype(('uint32', (2,))) + assert_equal(dt1.__repr__(), dt2.__repr__()) + + def test_reshape_order(self): + # Make sure reshape order works. + a = np.arange(6).reshape(2, 3, order='F') + assert_equal(a, [[0, 2, 4], [1, 3, 5]]) + a = np.array([[1, 2], [3, 4], [5, 6], [7, 8]]) + b = a[:, 1] + assert_equal(b.reshape(2, 2, order='F'), [[2, 6], [4, 8]]) + + def test_reshape_zero_strides(self): + # Issue #380, test reshaping of zero strided arrays + a = np.ones(1) + a = np.lib.stride_tricks.as_strided(a, shape=(5,), strides=(0,)) + assert_(a.reshape(5, 1).strides[0] == 0) + + def test_reshape_zero_size(self): + # GitHub Issue #2700, setting shape failed for 0-sized arrays + a = np.ones((0, 2)) + a.shape = (-1, 2) + + def test_reshape_trailing_ones_strides(self): + # GitHub issue gh-2949, bad strides for trailing ones of new shape + a = np.zeros(12, dtype=np.int32)[::2] # not contiguous + strides_c = (16, 8, 8, 8) + strides_f = (8, 24, 48, 48) + assert_equal(a.reshape(3, 2, 1, 1).strides, strides_c) + assert_equal(a.reshape(3, 2, 1, 1, order='F').strides, strides_f) + assert_equal(np.array(0, dtype=np.int32).reshape(1, 1).strides, (4, 4)) + + def test_repeat_discont(self): + # Ticket #352 + a = np.arange(12).reshape(4, 3)[:, 2] + assert_equal(a.repeat(3), [2, 2, 2, 5, 5, 5, 8, 8, 8, 11, 11, 11]) + + def test_array_index(self): + # Make sure optimization is not called in this case. + a = np.array([1, 2, 3]) + a2 = np.array([[1, 2, 3]]) + assert_equal(a[np.where(a == 3)], a2[np.where(a2 == 3)]) + + def test_object_argmax(self): + a = np.array([1, 2, 3], dtype=object) + assert_(a.argmax() == 2) + + def test_recarray_fields(self): + # Ticket #372 + dt0 = np.dtype([('f0', 'i4'), ('f1', 'i4')]) + dt1 = np.dtype([('f0', 'i8'), ('f1', 'i8')]) + for a in [np.array([(1, 2), (3, 4)], "i4,i4"), + np.rec.array([(1, 2), (3, 4)], "i4,i4"), + np.rec.array([(1, 2), (3, 4)]), + np.rec.fromarrays([(1, 2), (3, 4)], "i4,i4"), + np.rec.fromarrays([(1, 2), (3, 4)])]: + assert_(a.dtype in [dt0, dt1]) + + def test_random_shuffle(self): + # Ticket #374 + a = np.arange(5).reshape((5, 1)) + b = a.copy() + np.random.shuffle(b) + assert_equal(np.sort(b, axis=0), a) + + def test_refcount_vdot(self): + # Changeset #3443 + _assert_valid_refcount(np.vdot) + + def test_startswith(self): + ca = np.char.array(['Hi', 'There']) + assert_equal(ca.startswith('H'), [True, False]) + + def test_noncommutative_reduce_accumulate(self): + # Ticket #413 + tosubtract = np.arange(5) + todivide = np.array([2.0, 0.5, 0.25]) + assert_equal(np.subtract.reduce(tosubtract), -10) + assert_equal(np.divide.reduce(todivide), 16.0) + assert_array_equal(np.subtract.accumulate(tosubtract), + np.array([0, -1, -3, -6, -10])) + assert_array_equal(np.divide.accumulate(todivide), + np.array([2., 4., 16.])) + + def test_convolve_empty(self): + # Convolve should raise an error for empty input array. + assert_raises(ValueError, np.convolve, [], [1]) + assert_raises(ValueError, np.convolve, [1], []) + + def test_multidim_byteswap(self): + # Ticket #449 + r = np.array([(1, (0, 1, 2))], dtype="i2,3i2") + assert_array_equal(r.byteswap(), + np.array([(256, (0, 256, 512))], r.dtype)) + + def test_string_NULL(self): + # Changeset 3557 + assert_equal(np.array("a\x00\x0b\x0c\x00").item(), + 'a\x00\x0b\x0c') + + def test_junk_in_string_fields_of_recarray(self): + # Ticket #483 + r = np.array([[b'abc']], dtype=[('var1', '|S20')]) + assert_(asbytes(r['var1'][0][0]) == b'abc') + + def test_take_output(self): + # Ensure that 'take' honours output parameter. + x = np.arange(12).reshape((3, 4)) + a = np.take(x, [0, 2], axis=1) + b = np.zeros_like(a) + np.take(x, [0, 2], axis=1, out=b) + assert_array_equal(a, b) + + def test_take_object_fail(self): + # Issue gh-3001 + d = 123. + a = np.array([d, 1], dtype=object) + if HAS_REFCOUNT: + ref_d = sys.getrefcount(d) + try: + a.take([0, 100]) + except IndexError: + pass + if HAS_REFCOUNT: + assert_(ref_d == sys.getrefcount(d)) + + def test_array_str_64bit(self): + # Ticket #501 + s = np.array([1, np.nan], dtype=np.float64) + with np.errstate(all='raise'): + np.array_str(s) # Should succeed + + def test_frompyfunc_endian(self): + # Ticket #503 + from math import radians + uradians = np.frompyfunc(radians, 1, 1) + big_endian = np.array([83.4, 83.5], dtype='>f8') + little_endian = np.array([83.4, 83.5], dtype=' object + # casting succeeds + def rs(): + x = np.ones([484, 286]) + y = np.zeros([484, 286]) + x |= y + + assert_raises(TypeError, rs) + + def test_unicode_scalar(self): + # Ticket #600 + x = np.array(["DROND", "DROND1"], dtype="U6") + el = x[1] + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + new = pickle.loads(pickle.dumps(el, protocol=proto)) + assert_equal(new, el) + + def test_arange_non_native_dtype(self): + # Ticket #616 + for T in ('>f4', ' 0)] = v + + assert_raises(IndexError, ia, x, s, np.zeros(9, dtype=float)) + assert_raises(IndexError, ia, x, s, np.zeros(11, dtype=float)) + + # Old special case (different code path): + assert_raises(ValueError, ia, x.flat, s, np.zeros(9, dtype=float)) + assert_raises(ValueError, ia, x.flat, s, np.zeros(11, dtype=float)) + + def test_mem_scalar_indexing(self): + # Ticket #603 + x = np.array([0], dtype=float) + index = np.array(0, dtype=np.int32) + x[index] + + def test_binary_repr_0_width(self): + assert_equal(np.binary_repr(0, width=3), '000') + + def test_fromstring(self): + assert_equal(np.fromstring("12:09:09", dtype=int, sep=":"), + [12, 9, 9]) + + def test_searchsorted_variable_length(self): + x = np.array(['a', 'aa', 'b']) + y = np.array(['d', 'e']) + assert_equal(x.searchsorted(y), [3, 3]) + + def test_string_argsort_with_zeros(self): + # Check argsort for strings containing zeros. + x = np.frombuffer(b"\x00\x02\x00\x01", dtype="|S2") + assert_array_equal(x.argsort(kind='m'), np.array([1, 0])) + assert_array_equal(x.argsort(kind='q'), np.array([1, 0])) + + def test_string_sort_with_zeros(self): + # Check sort for strings containing zeros. + x = np.frombuffer(b"\x00\x02\x00\x01", dtype="|S2") + y = np.frombuffer(b"\x00\x01\x00\x02", dtype="|S2") + assert_array_equal(np.sort(x, kind="q"), y) + + def test_copy_detection_zero_dim(self): + # Ticket #658 + np.indices((0, 3, 4)).T.reshape(-1, 3) + + def test_flat_byteorder(self): + # Ticket #657 + x = np.arange(10) + assert_array_equal(x.astype('>i4'), x.astype('i4').flat[:], x.astype('i4')): + x = np.array([-1, 0, 1], dtype=dt) + assert_equal(x.flat[0].dtype, x[0].dtype) + + def test_copy_detection_corner_case(self): + # Ticket #658 + np.indices((0, 3, 4)).T.reshape(-1, 3) + + def test_object_array_refcounting(self): + # Ticket #633 + if not hasattr(sys, 'getrefcount'): + return + + # NB. this is probably CPython-specific + + cnt = sys.getrefcount + + a = object() + b = object() + c = object() + + cnt0_a = cnt(a) + cnt0_b = cnt(b) + cnt0_c = cnt(c) + + # -- 0d -> 1-d broadcast slice assignment + + arr = np.zeros(5, dtype=np.object_) + + arr[:] = a + assert_equal(cnt(a), cnt0_a + 5) + + arr[:] = b + assert_equal(cnt(a), cnt0_a) + assert_equal(cnt(b), cnt0_b + 5) + + arr[:2] = c + assert_equal(cnt(b), cnt0_b + 3) + assert_equal(cnt(c), cnt0_c + 2) + + del arr + + # -- 1-d -> 2-d broadcast slice assignment + + arr = np.zeros((5, 2), dtype=np.object_) + arr0 = np.zeros(2, dtype=np.object_) + + arr0[0] = a + assert_(cnt(a) == cnt0_a + 1) + arr0[1] = b + assert_(cnt(b) == cnt0_b + 1) + + arr[:, :] = arr0 + assert_(cnt(a) == cnt0_a + 6) + assert_(cnt(b) == cnt0_b + 6) + + arr[:, 0] = None + assert_(cnt(a) == cnt0_a + 1) + + del arr, arr0 + + # -- 2-d copying + flattening + + arr = np.zeros((5, 2), dtype=np.object_) + + arr[:, 0] = a + arr[:, 1] = b + assert_(cnt(a) == cnt0_a + 5) + assert_(cnt(b) == cnt0_b + 5) + + arr2 = arr.copy() + assert_(cnt(a) == cnt0_a + 10) + assert_(cnt(b) == cnt0_b + 10) + + arr2 = arr[:, 0].copy() + assert_(cnt(a) == cnt0_a + 10) + assert_(cnt(b) == cnt0_b + 5) + + arr2 = arr.flatten() + assert_(cnt(a) == cnt0_a + 10) + assert_(cnt(b) == cnt0_b + 10) + + del arr, arr2 + + # -- concatenate, repeat, take, choose + + arr1 = np.zeros((5, 1), dtype=np.object_) + arr2 = np.zeros((5, 1), dtype=np.object_) + + arr1[...] = a + arr2[...] = b + assert_(cnt(a) == cnt0_a + 5) + assert_(cnt(b) == cnt0_b + 5) + + tmp = np.concatenate((arr1, arr2)) + assert_(cnt(a) == cnt0_a + 5 + 5) + assert_(cnt(b) == cnt0_b + 5 + 5) + + tmp = arr1.repeat(3, axis=0) + assert_(cnt(a) == cnt0_a + 5 + 3*5) + + tmp = arr1.take([1, 2, 3], axis=0) + assert_(cnt(a) == cnt0_a + 5 + 3) + + x = np.array([[0], [1], [0], [1], [1]], int) + tmp = x.choose(arr1, arr2) + assert_(cnt(a) == cnt0_a + 5 + 2) + assert_(cnt(b) == cnt0_b + 5 + 3) + + del tmp # Avoid pyflakes unused variable warning + + def test_mem_custom_float_to_array(self): + # Ticket 702 + class MyFloat: + def __float__(self): + return 1.0 + + tmp = np.atleast_1d([MyFloat()]) + tmp.astype(float) # Should succeed + + def test_object_array_refcount_self_assign(self): + # Ticket #711 + class VictimObject: + deleted = False + + def __del__(self): + self.deleted = True + + d = VictimObject() + arr = np.zeros(5, dtype=np.object_) + arr[:] = d + del d + arr[:] = arr # refcount of 'd' might hit zero here + assert_(not arr[0].deleted) + arr[:] = arr # trying to induce a segfault by doing it again... + assert_(not arr[0].deleted) + + def test_mem_fromiter_invalid_dtype_string(self): + x = [1, 2, 3] + assert_raises(ValueError, + np.fromiter, list(x), dtype='S') + + def test_reduce_big_object_array(self): + # Ticket #713 + oldsize = np.setbufsize(10*16) + a = np.array([None]*161, object) + assert_(not np.any(a)) + np.setbufsize(oldsize) + + def test_mem_0d_array_index(self): + # Ticket #714 + np.zeros(10)[np.array(0)] + + def test_nonnative_endian_fill(self): + # Non-native endian arrays were incorrectly filled with scalars + # before r5034. + if sys.byteorder == 'little': + dtype = np.dtype('>i4') + else: + dtype = np.dtype('data contains non-zero floats + x = np.array([123456789e199], dtype=np.float64) + if IS_PYPY: + x.resize((m, 0), refcheck=False) + else: + x.resize((m, 0)) + y = np.array([123456789e199], dtype=np.float64) + if IS_PYPY: + y.resize((0, n), refcheck=False) + else: + y.resize((0, n)) + + # `dot` should just return zero (m, n) matrix + z = np.dot(x, y) + assert_(np.all(z == 0)) + assert_(z.shape == (m, n)) + + def test_zeros(self): + # Regression test for #1061. + # Set a size which cannot fit into a 64 bits signed integer + sz = 2 ** 64 + with assert_raises_regex(ValueError, + 'Maximum allowed dimension exceeded'): + np.empty(sz) + + def test_huge_arange(self): + # Regression test for #1062. + # Set a size which cannot fit into a 64 bits signed integer + sz = 2 ** 64 + with assert_raises_regex(ValueError, + 'Maximum allowed size exceeded'): + np.arange(sz) + assert_(np.size == sz) + + def test_fromiter_bytes(self): + # Ticket #1058 + a = np.fromiter(list(range(10)), dtype='b') + b = np.fromiter(list(range(10)), dtype='B') + assert_(np.all(a == np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]))) + assert_(np.all(b == np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]))) + + def test_array_from_sequence_scalar_array(self): + # Ticket #1078: segfaults when creating an array with a sequence of + # 0d arrays. + a = np.array((np.ones(2), np.array(2)), dtype=object) + assert_equal(a.shape, (2,)) + assert_equal(a.dtype, np.dtype(object)) + assert_equal(a[0], np.ones(2)) + assert_equal(a[1], np.array(2)) + + a = np.array(((1,), np.array(1)), dtype=object) + assert_equal(a.shape, (2,)) + assert_equal(a.dtype, np.dtype(object)) + assert_equal(a[0], (1,)) + assert_equal(a[1], np.array(1)) + + def test_array_from_sequence_scalar_array2(self): + # Ticket #1081: weird array with strange input... + t = np.array([np.array([]), np.array(0, object)], dtype=object) + assert_equal(t.shape, (2,)) + assert_equal(t.dtype, np.dtype(object)) + + def test_array_too_big(self): + # Ticket #1080. + assert_raises(ValueError, np.zeros, [975]*7, np.int8) + assert_raises(ValueError, np.zeros, [26244]*5, np.int8) + + def test_dtype_keyerrors_(self): + # Ticket #1106. + dt = np.dtype([('f1', np.uint)]) + assert_raises(KeyError, dt.__getitem__, "f2") + assert_raises(IndexError, dt.__getitem__, 1) + assert_raises(TypeError, dt.__getitem__, 0.0) + + def test_lexsort_buffer_length(self): + # Ticket #1217, don't segfault. + a = np.ones(100, dtype=np.int8) + b = np.ones(100, dtype=np.int32) + i = np.lexsort((a[::-1], b)) + assert_equal(i, np.arange(100, dtype=int)) + + def test_object_array_to_fixed_string(self): + # Ticket #1235. + a = np.array(['abcdefgh', 'ijklmnop'], dtype=np.object_) + b = np.array(a, dtype=(np.str_, 8)) + assert_equal(a, b) + c = np.array(a, dtype=(np.str_, 5)) + assert_equal(c, np.array(['abcde', 'ijklm'])) + d = np.array(a, dtype=(np.str_, 12)) + assert_equal(a, d) + e = np.empty((2, ), dtype=(np.str_, 8)) + e[:] = a[:] + assert_equal(a, e) + + def test_unicode_to_string_cast(self): + # Ticket #1240. + a = np.array([['abc', '\u03a3'], + ['asdf', 'erw']], + dtype='U') + assert_raises(UnicodeEncodeError, np.array, a, 'S4') + + def test_unicode_to_string_cast_error(self): + # gh-15790 + a = np.array(['\x80'] * 129, dtype='U3') + assert_raises(UnicodeEncodeError, np.array, a, 'S') + b = a.reshape(3, 43)[:-1, :-1] + assert_raises(UnicodeEncodeError, np.array, b, 'S') + + def test_mixed_string_byte_array_creation(self): + a = np.array(['1234', b'123']) + assert_(a.itemsize == 16) + a = np.array([b'123', '1234']) + assert_(a.itemsize == 16) + a = np.array(['1234', b'123', '12345']) + assert_(a.itemsize == 20) + a = np.array([b'123', '1234', b'12345']) + assert_(a.itemsize == 20) + a = np.array([b'123', '1234', b'1234']) + assert_(a.itemsize == 16) + + def test_misaligned_objects_segfault(self): + # Ticket #1198 and #1267 + a1 = np.zeros((10,), dtype='O,c') + a2 = np.array(['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'], 'S10') + a1['f0'] = a2 + repr(a1) + np.argmax(a1['f0']) + a1['f0'][1] = "FOO" + a1['f0'] = "FOO" + np.array(a1['f0'], dtype='S') + np.nonzero(a1['f0']) + a1.sort() + copy.deepcopy(a1) + + def test_misaligned_scalars_segfault(self): + # Ticket #1267 + s1 = np.array(('a', 'Foo'), dtype='c,O') + s2 = np.array(('b', 'Bar'), dtype='c,O') + s1['f1'] = s2['f1'] + s1['f1'] = 'Baz' + + def test_misaligned_dot_product_objects(self): + # Ticket #1267 + # This didn't require a fix, but it's worth testing anyway, because + # it may fail if .dot stops enforcing the arrays to be BEHAVED + a = np.array([[(1, 'a'), (0, 'a')], [(0, 'a'), (1, 'a')]], dtype='O,c') + b = np.array([[(4, 'a'), (1, 'a')], [(2, 'a'), (2, 'a')]], dtype='O,c') + np.dot(a['f0'], b['f0']) + + def test_byteswap_complex_scalar(self): + # Ticket #1259 and gh-441 + for dtype in [np.dtype('<'+t) for t in np.typecodes['Complex']]: + z = np.array([2.2-1.1j], dtype) + x = z[0] # always native-endian + y = x.byteswap() + if x.dtype.byteorder == z.dtype.byteorder: + # little-endian machine + assert_equal(x, np.frombuffer(y.tobytes(), dtype=dtype.newbyteorder())) + else: + # big-endian machine + assert_equal(x, np.frombuffer(y.tobytes(), dtype=dtype)) + # double check real and imaginary parts: + assert_equal(x.real, y.real.byteswap()) + assert_equal(x.imag, y.imag.byteswap()) + + def test_structured_arrays_with_objects1(self): + # Ticket #1299 + stra = 'aaaa' + strb = 'bbbb' + x = np.array([[(0, stra), (1, strb)]], 'i8,O') + x[x.nonzero()] = x.ravel()[:1] + assert_(x[0, 1] == x[0, 0]) + + @pytest.mark.skipif( + sys.version_info >= (3, 12), + reason="Python 3.12 has immortal refcounts, this test no longer works." + ) + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + def test_structured_arrays_with_objects2(self): + # Ticket #1299 second test + stra = 'aaaa' + strb = 'bbbb' + numb = sys.getrefcount(strb) + numa = sys.getrefcount(stra) + x = np.array([[(0, stra), (1, strb)]], 'i8,O') + x[x.nonzero()] = x.ravel()[:1] + assert_(sys.getrefcount(strb) == numb) + assert_(sys.getrefcount(stra) == numa + 2) + + def test_duplicate_title_and_name(self): + # Ticket #1254 + dtspec = [(('a', 'a'), 'i'), ('b', 'i')] + assert_raises(ValueError, np.dtype, dtspec) + + def test_signed_integer_division_overflow(self): + # Ticket #1317. + def test_type(t): + min = np.array([np.iinfo(t).min]) + min //= -1 + + with np.errstate(over="ignore"): + for t in (np.int8, np.int16, np.int32, np.int64, int): + test_type(t) + + def test_buffer_hashlib(self): + from hashlib import sha256 + + x = np.array([1, 2, 3], dtype=np.dtype('c') + + def test_log1p_compiler_shenanigans(self): + # Check if log1p is behaving on 32 bit intel systems. + assert_(np.isfinite(np.log1p(np.exp2(-53)))) + + def test_fromiter_comparison(self): + a = np.fromiter(list(range(10)), dtype='b') + b = np.fromiter(list(range(10)), dtype='B') + assert_(np.all(a == np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]))) + assert_(np.all(b == np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]))) + + def test_fromstring_crash(self): + # Ticket #1345: the following should not cause a crash + with assert_warns(DeprecationWarning): + np.fromstring(b'aa, aa, 1.0', sep=',') + + def test_ticket_1539(self): + dtypes = [x for x in np._core.sctypeDict.values() + if (issubclass(x, np.number) + and not issubclass(x, np.timedelta64))] + a = np.array([], np.bool) # not x[0] because it is unordered + failures = [] + + for x in dtypes: + b = a.astype(x) + for y in dtypes: + c = a.astype(y) + try: + d = np.dot(b, c) + except TypeError: + failures.append((x, y)) + else: + if d != 0: + failures.append((x, y)) + if failures: + raise AssertionError("Failures: %r" % failures) + + def test_ticket_1538(self): + x = np.finfo(np.float32) + for name in 'eps epsneg max min resolution tiny'.split(): + assert_equal(type(getattr(x, name)), np.float32, + err_msg=name) + + def test_ticket_1434(self): + # Check that the out= argument in var and std has an effect + data = np.array(((1, 2, 3), (4, 5, 6), (7, 8, 9))) + out = np.zeros((3,)) + + ret = data.var(axis=1, out=out) + assert_(ret is out) + assert_array_equal(ret, data.var(axis=1)) + + ret = data.std(axis=1, out=out) + assert_(ret is out) + assert_array_equal(ret, data.std(axis=1)) + + def test_complex_nan_maximum(self): + cnan = complex(0, np.nan) + assert_equal(np.maximum(1, cnan), cnan) + + def test_subclass_int_tuple_assignment(self): + # ticket #1563 + class Subclass(np.ndarray): + def __new__(cls, i): + return np.ones((i,)).view(cls) + + x = Subclass(5) + x[(0,)] = 2 # shouldn't raise an exception + assert_equal(x[0], 2) + + def test_ufunc_no_unnecessary_views(self): + # ticket #1548 + class Subclass(np.ndarray): + pass + x = np.array([1, 2, 3]).view(Subclass) + y = np.add(x, x, x) + assert_equal(id(x), id(y)) + + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + def test_take_refcount(self): + # ticket #939 + a = np.arange(16, dtype=float) + a.shape = (4, 4) + lut = np.ones((5 + 3, 4), float) + rgba = np.empty(shape=a.shape + (4,), dtype=lut.dtype) + c1 = sys.getrefcount(rgba) + try: + lut.take(a, axis=0, mode='clip', out=rgba) + except TypeError: + pass + c2 = sys.getrefcount(rgba) + assert_equal(c1, c2) + + def test_fromfile_tofile_seeks(self): + # On Python 3, tofile/fromfile used to get (#1610) the Python + # file handle out of sync + f0 = tempfile.NamedTemporaryFile() + f = f0.file + f.write(np.arange(255, dtype='u1').tobytes()) + + f.seek(20) + ret = np.fromfile(f, count=4, dtype='u1') + assert_equal(ret, np.array([20, 21, 22, 23], dtype='u1')) + assert_equal(f.tell(), 24) + + f.seek(40) + np.array([1, 2, 3], dtype='u1').tofile(f) + assert_equal(f.tell(), 43) + + f.seek(40) + data = f.read(3) + assert_equal(data, b"\x01\x02\x03") + + f.seek(80) + f.read(4) + data = np.fromfile(f, dtype='u1', count=4) + assert_equal(data, np.array([84, 85, 86, 87], dtype='u1')) + + f.close() + + def test_complex_scalar_warning(self): + for tp in [np.csingle, np.cdouble, np.clongdouble]: + x = tp(1+2j) + assert_warns(ComplexWarning, float, x) + with suppress_warnings() as sup: + sup.filter(ComplexWarning) + assert_equal(float(x), float(x.real)) + + def test_complex_scalar_complex_cast(self): + for tp in [np.csingle, np.cdouble, np.clongdouble]: + x = tp(1+2j) + assert_equal(complex(x), 1+2j) + + def test_complex_boolean_cast(self): + # Ticket #2218 + for tp in [np.csingle, np.cdouble, np.clongdouble]: + x = np.array([0, 0+0.5j, 0.5+0j], dtype=tp) + assert_equal(x.astype(bool), np.array([0, 1, 1], dtype=bool)) + assert_(np.any(x)) + assert_(np.all(x[1:])) + + def test_uint_int_conversion(self): + x = 2**64 - 1 + assert_equal(int(np.uint64(x)), x) + + def test_duplicate_field_names_assign(self): + ra = np.fromiter(((i*3, i*2) for i in range(10)), dtype='i8,f8') + ra.dtype.names = ('f1', 'f2') + repr(ra) # should not cause a segmentation fault + assert_raises(ValueError, setattr, ra.dtype, 'names', ('f1', 'f1')) + + def test_eq_string_and_object_array(self): + # From e-mail thread "__eq__ with str and object" (Keith Goodman) + a1 = np.array(['a', 'b'], dtype=object) + a2 = np.array(['a', 'c']) + assert_array_equal(a1 == a2, [True, False]) + assert_array_equal(a2 == a1, [True, False]) + + def test_nonzero_byteswap(self): + a = np.array([0x80000000, 0x00000080, 0], dtype=np.uint32) + a.dtype = np.float32 + assert_equal(a.nonzero()[0], [1]) + a = a.byteswap() + a = a.view(a.dtype.newbyteorder()) + assert_equal(a.nonzero()[0], [1]) # [0] if nonzero() ignores swap + + def test_empty_mul(self): + a = np.array([1.]) + a[1:1] *= 2 + assert_equal(a, [1.]) + + def test_array_side_effect(self): + # The second use of itemsize was throwing an exception because in + # ctors.c, discover_itemsize was calling PyObject_Length without + # checking the return code. This failed to get the length of the + # number 2, and the exception hung around until something checked + # PyErr_Occurred() and returned an error. + assert_equal(np.dtype('S10').itemsize, 10) + np.array([['abc', 2], ['long ', '0123456789']], dtype=np.bytes_) + assert_equal(np.dtype('S10').itemsize, 10) + + def test_any_float(self): + # all and any for floats + a = np.array([0.1, 0.9]) + assert_(np.any(a)) + assert_(np.all(a)) + + def test_large_float_sum(self): + a = np.arange(10000, dtype='f') + assert_equal(a.sum(dtype='d'), a.astype('d').sum()) + + def test_ufunc_casting_out(self): + a = np.array(1.0, dtype=np.float32) + b = np.array(1.0, dtype=np.float64) + c = np.array(1.0, dtype=np.float32) + np.add(a, b, out=c) + assert_equal(c, 2.0) + + def test_array_scalar_contiguous(self): + # Array scalars are both C and Fortran contiguous + assert_(np.array(1.0).flags.c_contiguous) + assert_(np.array(1.0).flags.f_contiguous) + assert_(np.array(np.float32(1.0)).flags.c_contiguous) + assert_(np.array(np.float32(1.0)).flags.f_contiguous) + + def test_squeeze_contiguous(self): + # Similar to GitHub issue #387 + a = np.zeros((1, 2)).squeeze() + b = np.zeros((2, 2, 2), order='F')[:, :, ::2].squeeze() + assert_(a.flags.c_contiguous) + assert_(a.flags.f_contiguous) + assert_(b.flags.f_contiguous) + + def test_squeeze_axis_handling(self): + # Issue #10779 + # Ensure proper handling of objects + # that don't support axis specification + # when squeezing + + class OldSqueeze(np.ndarray): + + def __new__(cls, + input_array): + obj = np.asarray(input_array).view(cls) + return obj + + # it is perfectly reasonable that prior + # to numpy version 1.7.0 a subclass of ndarray + # might have been created that did not expect + # squeeze to have an axis argument + # NOTE: this example is somewhat artificial; + # it is designed to simulate an old API + # expectation to guard against regression + def squeeze(self): + return super().squeeze() + + oldsqueeze = OldSqueeze(np.array([[1],[2],[3]])) + + # if no axis argument is specified the old API + # expectation should give the correct result + assert_equal(np.squeeze(oldsqueeze), + np.array([1,2,3])) + + # likewise, axis=None should work perfectly well + # with the old API expectation + assert_equal(np.squeeze(oldsqueeze, axis=None), + np.array([1,2,3])) + + # however, specification of any particular axis + # should raise a TypeError in the context of the + # old API specification, even when using a valid + # axis specification like 1 for this array + with assert_raises(TypeError): + # this would silently succeed for array + # subclasses / objects that did not support + # squeeze axis argument handling before fixing + # Issue #10779 + np.squeeze(oldsqueeze, axis=1) + + # check for the same behavior when using an invalid + # axis specification -- in this case axis=0 does not + # have size 1, but the priority should be to raise + # a TypeError for the axis argument and NOT a + # ValueError for squeezing a non-empty dimension + with assert_raises(TypeError): + np.squeeze(oldsqueeze, axis=0) + + # the new API knows how to handle the axis + # argument and will return a ValueError if + # attempting to squeeze an axis that is not + # of length 1 + with assert_raises(ValueError): + np.squeeze(np.array([[1],[2],[3]]), axis=0) + + def test_reduce_contiguous(self): + # GitHub issue #387 + a = np.add.reduce(np.zeros((2, 1, 2)), (0, 1)) + b = np.add.reduce(np.zeros((2, 1, 2)), 1) + assert_(a.flags.c_contiguous) + assert_(a.flags.f_contiguous) + assert_(b.flags.c_contiguous) + + @pytest.mark.skipif(IS_PYSTON, reason="Pyston disables recursion checking") + def test_object_array_self_reference(self): + # Object arrays with references to themselves can cause problems + a = np.array(0, dtype=object) + a[()] = a + assert_raises(RecursionError, int, a) + assert_raises(RecursionError, float, a) + a[()] = None + + @pytest.mark.skipif(IS_PYSTON, reason="Pyston disables recursion checking") + def test_object_array_circular_reference(self): + # Test the same for a circular reference. + a = np.array(0, dtype=object) + b = np.array(0, dtype=object) + a[()] = b + b[()] = a + assert_raises(RecursionError, int, a) + # NumPy has no tp_traverse currently, so circular references + # cannot be detected. So resolve it: + a[()] = None + + # This was causing a to become like the above + a = np.array(0, dtype=object) + a[...] += 1 + assert_equal(a, 1) + + def test_object_array_nested(self): + # but is fine with a reference to a different array + a = np.array(0, dtype=object) + b = np.array(0, dtype=object) + a[()] = b + assert_equal(int(a), int(0)) + assert_equal(float(a), float(0)) + + def test_object_array_self_copy(self): + # An object array being copied into itself DECREF'ed before INCREF'ing + # causing segmentation faults (gh-3787) + a = np.array(object(), dtype=object) + np.copyto(a, a) + if HAS_REFCOUNT: + assert_(sys.getrefcount(a[()]) == 2) + a[()].__class__ # will segfault if object was deleted + + def test_zerosize_accumulate(self): + "Ticket #1733" + x = np.array([[42, 0]], dtype=np.uint32) + assert_equal(np.add.accumulate(x[:-1, 0]), []) + + def test_objectarray_setfield(self): + # Setfield should not overwrite Object fields with non-Object data + x = np.array([1, 2, 3], dtype=object) + assert_raises(TypeError, x.setfield, 4, np.int32, 0) + + def test_setting_rank0_string(self): + "Ticket #1736" + s1 = b"hello1" + s2 = b"hello2" + a = np.zeros((), dtype="S10") + a[()] = s1 + assert_equal(a, np.array(s1)) + a[()] = np.array(s2) + assert_equal(a, np.array(s2)) + + a = np.zeros((), dtype='f4') + a[()] = 3 + assert_equal(a, np.array(3)) + a[()] = np.array(4) + assert_equal(a, np.array(4)) + + def test_string_astype(self): + "Ticket #1748" + s1 = b'black' + s2 = b'white' + s3 = b'other' + a = np.array([[s1], [s2], [s3]]) + assert_equal(a.dtype, np.dtype('S5')) + b = a.astype(np.dtype('S0')) + assert_equal(b.dtype, np.dtype('S5')) + + def test_ticket_1756(self): + # Ticket #1756 + s = b'0123456789abcdef' + a = np.array([s]*5) + for i in range(1, 17): + a1 = np.array(a, "|S%d" % i) + a2 = np.array([s[:i]]*5) + assert_equal(a1, a2) + + def test_fields_strides(self): + "gh-2355" + r = np.frombuffer(b'abcdefghijklmnop'*4*3, dtype='i4,(2,3)u2') + assert_equal(r[0:3:2]['f1'], r['f1'][0:3:2]) + assert_equal(r[0:3:2]['f1'][0], r[0:3:2][0]['f1']) + assert_equal(r[0:3:2]['f1'][0][()], r[0:3:2][0]['f1'][()]) + assert_equal(r[0:3:2]['f1'][0].strides, r[0:3:2][0]['f1'].strides) + + def test_alignment_update(self): + # Check that alignment flag is updated on stride setting + a = np.arange(10) + assert_(a.flags.aligned) + a.strides = 3 + assert_(not a.flags.aligned) + + def test_ticket_1770(self): + "Should not segfault on python 3k" + import numpy as np + try: + a = np.zeros((1,), dtype=[('f1', 'f')]) + a['f1'] = 1 + a['f2'] = 1 + except ValueError: + pass + except Exception: + raise AssertionError + + def test_ticket_1608(self): + "x.flat shouldn't modify data" + x = np.array([[1, 2], [3, 4]]).T + np.array(x.flat) + assert_equal(x, [[1, 3], [2, 4]]) + + def test_pickle_string_overwrite(self): + import re + + data = np.array([1], dtype='b') + blob = pickle.dumps(data, protocol=1) + data = pickle.loads(blob) + + # Check that loads does not clobber interned strings + s = re.sub("a(.)", "\x01\\1", "a_") + assert_equal(s[0], "\x01") + data[0] = 0x6a + s = re.sub("a(.)", "\x01\\1", "a_") + assert_equal(s[0], "\x01") + + def test_pickle_bytes_overwrite(self): + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + data = np.array([1], dtype='b') + data = pickle.loads(pickle.dumps(data, protocol=proto)) + data[0] = 0x7d + bytestring = "\x01 ".encode('ascii') + assert_equal(bytestring[0:1], '\x01'.encode('ascii')) + + def test_pickle_py2_array_latin1_hack(self): + # Check that unpickling hacks in Py3 that support + # encoding='latin1' work correctly. + + # Python2 output for pickle.dumps(numpy.array([129], dtype='b')) + data = b"cnumpy.core.multiarray\n_reconstruct\np0\n(cnumpy\nndarray\np1\n(I0\ntp2\nS'b'\np3\ntp4\nRp5\n(I1\n(I1\ntp6\ncnumpy\ndtype\np7\n(S'i1'\np8\nI0\nI1\ntp9\nRp10\n(I3\nS'|'\np11\nNNNI-1\nI-1\nI0\ntp12\nbI00\nS'\\x81'\np13\ntp14\nb." # noqa + # This should work: + result = pickle.loads(data, encoding='latin1') + assert_array_equal(result, np.array([129]).astype('b')) + # Should not segfault: + assert_raises(Exception, pickle.loads, data, encoding='koi8-r') + + def test_pickle_py2_scalar_latin1_hack(self): + # Check that scalar unpickling hack in Py3 that supports + # encoding='latin1' work correctly. + + # Python2 output for pickle.dumps(...) + datas = [ + # (original, python2_pickle, koi8r_validity) + (np.str_('\u6bd2'), + b"cnumpy.core.multiarray\nscalar\np0\n(cnumpy\ndtype\np1\n(S'U1'\np2\nI0\nI1\ntp3\nRp4\n(I3\nS'<'\np5\nNNNI4\nI4\nI0\ntp6\nbS'\\xd2k\\x00\\x00'\np7\ntp8\nRp9\n.", # noqa + 'invalid'), + + (np.float64(9e123), + b"cnumpy.core.multiarray\nscalar\np0\n(cnumpy\ndtype\np1\n(S'f8'\np2\nI0\nI1\ntp3\nRp4\n(I3\nS'<'\np5\nNNNI-1\nI-1\nI0\ntp6\nbS'O\\x81\\xb7Z\\xaa:\\xabY'\np7\ntp8\nRp9\n.", # noqa + 'invalid'), + + # different 8-bit code point in KOI8-R vs latin1 + (np.bytes_(b'\x9c'), + b"cnumpy.core.multiarray\nscalar\np0\n(cnumpy\ndtype\np1\n(S'S1'\np2\nI0\nI1\ntp3\nRp4\n(I3\nS'|'\np5\nNNNI1\nI1\nI0\ntp6\nbS'\\x9c'\np7\ntp8\nRp9\n.", # noqa + 'different'), + ] + for original, data, koi8r_validity in datas: + result = pickle.loads(data, encoding='latin1') + assert_equal(result, original) + + # Decoding under non-latin1 encoding (e.g.) KOI8-R can + # produce bad results, but should not segfault. + if koi8r_validity == 'different': + # Unicode code points happen to lie within latin1, + # but are different in koi8-r, resulting to silent + # bogus results + result = pickle.loads(data, encoding='koi8-r') + assert_(result != original) + elif koi8r_validity == 'invalid': + # Unicode code points outside latin1, so results + # to an encoding exception + assert_raises( + ValueError, pickle.loads, data, encoding='koi8-r' + ) + else: + raise ValueError(koi8r_validity) + + def test_structured_type_to_object(self): + a_rec = np.array([(0, 1), (3, 2)], dtype='i4,i8') + a_obj = np.empty((2,), dtype=object) + a_obj[0] = (0, 1) + a_obj[1] = (3, 2) + # astype records -> object + assert_equal(a_rec.astype(object), a_obj) + # '=' records -> object + b = np.empty_like(a_obj) + b[...] = a_rec + assert_equal(b, a_obj) + # '=' object -> records + b = np.empty_like(a_rec) + b[...] = a_obj + assert_equal(b, a_rec) + + def test_assign_obj_listoflists(self): + # Ticket # 1870 + # The inner list should get assigned to the object elements + a = np.zeros(4, dtype=object) + b = a.copy() + a[0] = [1] + a[1] = [2] + a[2] = [3] + a[3] = [4] + b[...] = [[1], [2], [3], [4]] + assert_equal(a, b) + # The first dimension should get broadcast + a = np.zeros((2, 2), dtype=object) + a[...] = [[1, 2]] + assert_equal(a, [[1, 2], [1, 2]]) + + @pytest.mark.slow_pypy + def test_memoryleak(self): + # Ticket #1917 - ensure that array data doesn't leak + for i in range(1000): + # 100MB times 1000 would give 100GB of memory usage if it leaks + a = np.empty((100000000,), dtype='i1') + del a + + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + def test_ufunc_reduce_memoryleak(self): + a = np.arange(6) + acnt = sys.getrefcount(a) + np.add.reduce(a) + assert_equal(sys.getrefcount(a), acnt) + + def test_search_sorted_invalid_arguments(self): + # Ticket #2021, should not segfault. + x = np.arange(0, 4, dtype='datetime64[D]') + assert_raises(TypeError, x.searchsorted, 1) + + def test_string_truncation(self): + # Ticket #1990 - Data can be truncated in creation of an array from a + # mixed sequence of numeric values and strings (gh-2583) + for val in [True, 1234, 123.4, complex(1, 234)]: + for tostr, dtype in [(asunicode, "U"), (asbytes, "S")]: + b = np.array([val, tostr('xx')], dtype=dtype) + assert_equal(tostr(b[0]), tostr(val)) + b = np.array([tostr('xx'), val], dtype=dtype) + assert_equal(tostr(b[1]), tostr(val)) + + # test also with longer strings + b = np.array([val, tostr('xxxxxxxxxx')], dtype=dtype) + assert_equal(tostr(b[0]), tostr(val)) + b = np.array([tostr('xxxxxxxxxx'), val], dtype=dtype) + assert_equal(tostr(b[1]), tostr(val)) + + def test_string_truncation_ucs2(self): + # Ticket #2081. Python compiled with two byte unicode + # can lead to truncation if itemsize is not properly + # adjusted for NumPy's four byte unicode. + a = np.array(['abcd']) + assert_equal(a.dtype.itemsize, 16) + + def test_unique_stable(self): + # Ticket #2063 must always choose stable sort for argsort to + # get consistent results + v = np.array(([0]*5 + [1]*6 + [2]*6)*4) + res = np.unique(v, return_index=True) + tgt = (np.array([0, 1, 2]), np.array([ 0, 5, 11])) + assert_equal(res, tgt) + + def test_unicode_alloc_dealloc_match(self): + # Ticket #1578, the mismatch only showed up when running + # python-debug for python versions >= 2.7, and then as + # a core dump and error message. + a = np.array(['abc'], dtype=np.str_)[0] + del a + + def test_refcount_error_in_clip(self): + # Ticket #1588 + a = np.zeros((2,), dtype='>i2').clip(min=0) + x = a + a + # This used to segfault: + y = str(x) + # Check the final string: + assert_(y == "[0 0]") + + def test_searchsorted_wrong_dtype(self): + # Ticket #2189, it used to segfault, so we check that it raises the + # proper exception. + a = np.array([('a', 1)], dtype='S1, int') + assert_raises(TypeError, np.searchsorted, a, 1.2) + # Ticket #2066, similar problem: + dtype = np.rec.format_parser(['i4', 'i4'], [], []) + a = np.recarray((2,), dtype) + a[...] = [(1, 2), (3, 4)] + assert_raises(TypeError, np.searchsorted, a, 1) + + def test_complex64_alignment(self): + # Issue gh-2668 (trac 2076), segfault on sparc due to misalignment + dtt = np.complex64 + arr = np.arange(10, dtype=dtt) + # 2D array + arr2 = np.reshape(arr, (2, 5)) + # Fortran write followed by (C or F) read caused bus error + data_str = arr2.tobytes('F') + data_back = np.ndarray(arr2.shape, + arr2.dtype, + buffer=data_str, + order='F') + assert_array_equal(arr2, data_back) + + def test_structured_count_nonzero(self): + arr = np.array([0, 1]).astype('i4, 2i4')[:1] + count = np.count_nonzero(arr) + assert_equal(count, 0) + + def test_copymodule_preserves_f_contiguity(self): + a = np.empty((2, 2), order='F') + b = copy.copy(a) + c = copy.deepcopy(a) + assert_(b.flags.fortran) + assert_(b.flags.f_contiguous) + assert_(c.flags.fortran) + assert_(c.flags.f_contiguous) + + def test_fortran_order_buffer(self): + import numpy as np + a = np.array([['Hello', 'Foob']], dtype='U5', order='F') + arr = np.ndarray(shape=[1, 2, 5], dtype='U1', buffer=a) + arr2 = np.array([[['H', 'e', 'l', 'l', 'o'], + ['F', 'o', 'o', 'b', '']]]) + assert_array_equal(arr, arr2) + + def test_assign_from_sequence_error(self): + # Ticket #4024. + arr = np.array([1, 2, 3]) + assert_raises(ValueError, arr.__setitem__, slice(None), [9, 9]) + arr.__setitem__(slice(None), [9]) + assert_equal(arr, [9, 9, 9]) + + def test_format_on_flex_array_element(self): + # Ticket #4369. + dt = np.dtype([('date', ' 0: + # unpickling ndarray goes through _frombuffer for protocol 5 + assert b'numpy._core.numeric' in s + else: + assert b'numpy._core.multiarray' in s + + def test_object_casting_errors(self): + # gh-11993 update to ValueError (see gh-16909), since strings can in + # principle be converted to complex, but this string cannot. + arr = np.array(['AAAAA', 18465886.0, 18465886.0], dtype=object) + assert_raises(ValueError, arr.astype, 'c8') + + def test_eff1d_casting(self): + # gh-12711 + x = np.array([1, 2, 4, 7, 0], dtype=np.int16) + res = np.ediff1d(x, to_begin=-99, to_end=np.array([88, 99])) + assert_equal(res, [-99, 1, 2, 3, -7, 88, 99]) + + # The use of safe casting means, that 1<<20 is cast unsafely, an + # error may be better, but currently there is no mechanism for it. + res = np.ediff1d(x, to_begin=(1<<20), to_end=(1<<20)) + assert_equal(res, [0, 1, 2, 3, -7, 0]) + + def test_pickle_datetime64_array(self): + # gh-12745 (would fail with pickle5 installed) + d = np.datetime64('2015-07-04 12:59:59.50', 'ns') + arr = np.array([d]) + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + dumped = pickle.dumps(arr, protocol=proto) + assert_equal(pickle.loads(dumped), arr) + + def test_bad_array_interface(self): + class T: + __array_interface__ = {} + + with assert_raises(ValueError): + np.array([T()]) + + def test_2d__array__shape(self): + class T: + def __array__(self, dtype=None, copy=None): + return np.ndarray(shape=(0,0)) + + # Make sure __array__ is used instead of Sequence methods. + def __iter__(self): + return iter([]) + + def __getitem__(self, idx): + raise AssertionError("__getitem__ was called") + + def __len__(self): + return 0 + + + t = T() + # gh-13659, would raise in broadcasting [x=t for x in result] + arr = np.array([t]) + assert arr.shape == (1, 0, 0) + + @pytest.mark.skipif(sys.maxsize < 2 ** 31 + 1, reason='overflows 32-bit python') + def test_to_ctypes(self): + #gh-14214 + arr = np.zeros((2 ** 31 + 1,), 'b') + assert arr.size * arr.itemsize > 2 ** 31 + c_arr = np.ctypeslib.as_ctypes(arr) + assert_equal(c_arr._length_, arr.size) + + def test_complex_conversion_error(self): + # gh-17068 + with pytest.raises(TypeError, match=r"Unable to convert dtype.*"): + complex(np.array("now", np.datetime64)) + + def test__array_interface__descr(self): + # gh-17068 + dt = np.dtype(dict(names=['a', 'b'], + offsets=[0, 0], + formats=[np.int64, np.int64])) + descr = np.array((1, 1), dtype=dt).__array_interface__['descr'] + assert descr == [('', '|V8')] # instead of [(b'', '|V8')] + + @pytest.mark.skipif(sys.maxsize < 2 ** 31 + 1, reason='overflows 32-bit python') + @requires_memory(free_bytes=9e9) + def test_dot_big_stride(self): + # gh-17111 + # blas stride = stride//itemsize > int32 max + int32_max = np.iinfo(np.int32).max + n = int32_max + 3 + a = np.empty([n], dtype=np.float32) + b = a[::n-1] + b[...] = 1 + assert b.strides[0] > int32_max * b.dtype.itemsize + assert np.dot(b, b) == 2.0 + + def test_frompyfunc_name(self): + # name conversion was failing for python 3 strings + # resulting in the default '?' name. Also test utf-8 + # encoding using non-ascii name. + def cassé(x): + return x + + f = np.frompyfunc(cassé, 1, 1) + assert str(f) == "" + + @pytest.mark.parametrize("operation", [ + 'add', 'subtract', 'multiply', 'floor_divide', + 'conjugate', 'fmod', 'square', 'reciprocal', + 'power', 'absolute', 'negative', 'positive', + 'greater', 'greater_equal', 'less', + 'less_equal', 'equal', 'not_equal', 'logical_and', + 'logical_not', 'logical_or', 'bitwise_and', 'bitwise_or', + 'bitwise_xor', 'invert', 'left_shift', 'right_shift', + 'gcd', 'lcm' + ] + ) + @pytest.mark.parametrize("order", [ + ('b->', 'B->'), + ('h->', 'H->'), + ('i->', 'I->'), + ('l->', 'L->'), + ('q->', 'Q->'), + ] + ) + def test_ufunc_order(self, operation, order): + # gh-18075 + # Ensure signed types before unsigned + def get_idx(string, str_lst): + for i, s in enumerate(str_lst): + if string in s: + return i + raise ValueError(f"{string} not in list") + types = getattr(np, operation).types + assert get_idx(order[0], types) < get_idx(order[1], types), ( + f"Unexpected types order of ufunc in {operation}" + f"for {order}. Possible fix: Use signed before unsigned" + "in generate_umath.py") + + def test_nonbool_logical(self): + # gh-22845 + # create two arrays with bit patterns that do not overlap. + # needs to be large enough to test both SIMD and scalar paths + size = 100 + a = np.frombuffer(b'\x01' * size, dtype=np.bool) + b = np.frombuffer(b'\x80' * size, dtype=np.bool) + expected = np.ones(size, dtype=np.bool) + assert_array_equal(np.logical_and(a, b), expected) + + @pytest.mark.skipif(IS_PYPY, reason="PyPy issue 2742") + def test_gh_23737(self): + with pytest.raises(TypeError, match="not an acceptable base type"): + class Y(np.flexible): + pass + + with pytest.raises(TypeError, match="not an acceptable base type"): + class X(np.flexible, np.ma.core.MaskedArray): + pass + + def test_load_ufunc_pickle(self): + # ufuncs are pickled with a semi-private path in + # numpy.core._multiarray_umath and must be loadable without warning + # despite np.core being deprecated. + test_data = b'\x80\x04\x95(\x00\x00\x00\x00\x00\x00\x00\x8c\x1cnumpy.core._multiarray_umath\x94\x8c\x03add\x94\x93\x94.' # noqa + result = pickle.loads(test_data, encoding='bytes') + assert result is np.add + + def test__array_namespace__(self): + arr = np.arange(2) + + xp = arr.__array_namespace__() + assert xp is np + xp = arr.__array_namespace__(api_version="2021.12") + assert xp is np + xp = arr.__array_namespace__(api_version="2022.12") + assert xp is np + xp = arr.__array_namespace__(api_version="2023.12") + assert xp is np + xp = arr.__array_namespace__(api_version=None) + assert xp is np + + with pytest.raises( + ValueError, + match="Version \"2024.12\" of the Array API Standard " + "is not supported." + ): + arr.__array_namespace__(api_version="2024.12") + + with pytest.raises( + ValueError, + match="Only None and strings are allowed as the Array API version" + ): + arr.__array_namespace__(api_version=2023) + + def test_isin_refcnt_bug(self): + # gh-25295 + for _ in range(1000): + np.isclose(np.int64(2), np.int64(2), atol=1e-15, rtol=1e-300) + + def test_replace_regression(self): + # gh-25513 segfault + carr = np.char.chararray((2,), itemsize=25) + test_strings = [b' 4.52173913043478315E+00', + b' 4.95652173913043548E+00'] + carr[:] = test_strings + out = carr.replace(b"E", b"D") + expected = np.char.chararray((2,), itemsize=25) + expected[:] = [s.replace(b"E", b"D") for s in test_strings] + assert_array_equal(out, expected) + + def test_logspace_base_does_not_determine_dtype(self): + # gh-24957 and cupy/cupy/issues/7946 + start = np.array([0, 2], dtype=np.float16) + stop = np.array([2, 0], dtype=np.float16) + out = np.logspace(start, stop, num=5, axis=1, dtype=np.float32) + expected = np.array([[1., 3.1621094, 10., 31.625, 100.], + [100., 31.625, 10., 3.1621094, 1.]], + dtype=np.float32) + assert_almost_equal(out, expected) + # Check test fails if the calculation is done in float64, as happened + # before when a python float base incorrectly influenced the dtype. + out2 = np.logspace(start, stop, num=5, axis=1, dtype=np.float32, + base=np.array([10.0])) + with pytest.raises(AssertionError, match="not almost equal"): + assert_almost_equal(out2, expected) + + def test_vectorize_fixed_width_string(self): + arr = np.array(["SOme wOrd DŽ ß ᾛ ΣΣ ffi⁵Å Ç Ⅰ"]).astype(np.str_) + f = str.casefold + res = np.vectorize(f, otypes=[arr.dtype])(arr) + assert res.dtype == "U30" + + def test_repeated_square_consistency(self): + # gh-26940 + buf = np.array([-5.171866611150749e-07 + 2.5618634555957426e-07j, + 0, 0, 0, 0, 0]) + # Test buffer with regular and reverse strides + for in_vec in [buf[:3], buf[:3][::-1]]: + expected_res = np.square(in_vec) + # Output vector immediately follows input vector + # to reproduce off-by-one in nomemoverlap check. + for res in [buf[3:], buf[3:][::-1]]: + res = buf[3:] + np.square(in_vec, out=res) + assert_equal(res, expected_res) + + def test_sort_unique_crash(self): + # gh-27037 + for _ in range(4): + vals = np.linspace(0, 1, num=128) + data = np.broadcast_to(vals, (128, 128, 128)) + data = data.transpose(0, 2, 1).copy() + np.unique(data) + + def test_sort_overlap(self): + # gh-27273 + size = 100 + inp = np.linspace(0, size, num=size, dtype=np.intc) + out = np.sort(inp) + assert_equal(inp, out) + + def test_searchsorted_structured(self): + # gh-28190 + x = np.array([(0, 1.)], dtype=[('time', ' None: + cls = np.dtype(code).type + value = cls(str_value) + assert not value.is_integer() + + @pytest.mark.parametrize( + "code", np.typecodes["Float"] + np.typecodes["AllInteger"] + ) + def test_true(self, code: str) -> None: + float_array = np.arange(-5, 5).astype(code) + for value in float_array: + assert value.is_integer() + + @pytest.mark.parametrize("code", np.typecodes["Float"]) + def test_false(self, code: str) -> None: + float_array = np.arange(-5, 5).astype(code) + float_array *= 1.1 + for value in float_array: + if value == 0: + continue + assert not value.is_integer() + + +class TestClassGetItem: + @pytest.mark.parametrize("cls", [ + np.number, + np.integer, + np.inexact, + np.unsignedinteger, + np.signedinteger, + np.floating, + ]) + def test_abc(self, cls: Type[np.number]) -> None: + alias = cls[Any] + assert isinstance(alias, types.GenericAlias) + assert alias.__origin__ is cls + + def test_abc_complexfloating(self) -> None: + alias = np.complexfloating[Any, Any] + assert isinstance(alias, types.GenericAlias) + assert alias.__origin__ is np.complexfloating + + @pytest.mark.parametrize("arg_len", range(4)) + def test_abc_complexfloating_subscript_tuple(self, arg_len: int) -> None: + arg_tup = (Any,) * arg_len + if arg_len in (1, 2): + assert np.complexfloating[arg_tup] + else: + match = f"Too {'few' if arg_len == 0 else 'many'} arguments" + with pytest.raises(TypeError, match=match): + np.complexfloating[arg_tup] + + @pytest.mark.parametrize("cls", [np.generic, np.flexible, np.character]) + def test_abc_non_numeric(self, cls: Type[np.generic]) -> None: + with pytest.raises(TypeError): + cls[Any] + + @pytest.mark.parametrize("code", np.typecodes["All"]) + def test_concrete(self, code: str) -> None: + cls = np.dtype(code).type + with pytest.raises(TypeError): + cls[Any] + + @pytest.mark.parametrize("arg_len", range(4)) + def test_subscript_tuple(self, arg_len: int) -> None: + arg_tup = (Any,) * arg_len + if arg_len == 1: + assert np.number[arg_tup] + else: + with pytest.raises(TypeError): + np.number[arg_tup] + + def test_subscript_scalar(self) -> None: + assert np.number[Any] + + +class TestBitCount: + # derived in part from the cpython test "test_bit_count" + + @pytest.mark.parametrize("itype", sctypes['int']+sctypes['uint']) + def test_small(self, itype): + for a in range(max(np.iinfo(itype).min, 0), 128): + msg = f"Smoke test for {itype}({a}).bit_count()" + assert itype(a).bit_count() == bin(a).count("1"), msg + + def test_bit_count(self): + for exp in [10, 17, 63]: + a = 2**exp + assert np.uint64(a).bit_count() == 1 + assert np.uint64(a - 1).bit_count() == exp + assert np.uint64(a ^ 63).bit_count() == 7 + assert np.uint64((a - 1) ^ 510).bit_count() == exp - 8 + + +class TestDevice: + """ + Test scalar.device attribute and scalar.to_device() method. + """ + scalars = [np.bool(True), np.int64(1), np.uint64(1), np.float64(1.0), + np.complex128(1+1j)] + + @pytest.mark.parametrize("scalar", scalars) + def test_device(self, scalar): + assert scalar.device == "cpu" + + @pytest.mark.parametrize("scalar", scalars) + def test_to_device(self, scalar): + assert scalar.to_device("cpu") is scalar + + @pytest.mark.parametrize("scalar", scalars) + def test___array_namespace__(self, scalar): + assert scalar.__array_namespace__() is np + + +@pytest.mark.parametrize("scalar", [np.bool(True), np.int8(1), np.float64(1)]) +def test_array_wrap(scalar): + # Test scalars array wrap as long as it exists. NumPy itself should + # probably not use it, so it may not be necessary to keep it around. + + arr0d = np.array(3, dtype=np.int8) + # Third argument not passed, None, or True "decays" to scalar. + # (I don't think NumPy would pass `None`, but it seems clear to support) + assert type(scalar.__array_wrap__(arr0d)) is np.int8 + assert type(scalar.__array_wrap__(arr0d, None, None)) is np.int8 + assert type(scalar.__array_wrap__(arr0d, None, True)) is np.int8 + + # Otherwise, result should be the input + assert scalar.__array_wrap__(arr0d, None, False) is arr0d + + # An old bug. A non 0-d array cannot be converted to scalar: + arr1d = np.array([3], dtype=np.int8) + assert scalar.__array_wrap__(arr1d) is arr1d + assert scalar.__array_wrap__(arr1d, None, True) is arr1d diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarbuffer.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarbuffer.py new file mode 100644 index 0000000000000000000000000000000000000000..26cf39530f65e25d87937516280c690cb65fa818 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarbuffer.py @@ -0,0 +1,153 @@ +""" +Test scalar buffer interface adheres to PEP 3118 +""" +import numpy as np +from numpy._core._rational_tests import rational +from numpy._core._multiarray_tests import get_buffer_info +import pytest + +from numpy.testing import assert_, assert_equal, assert_raises + +# PEP3118 format strings for native (standard alignment and byteorder) types +scalars_and_codes = [ + (np.bool, '?'), + (np.byte, 'b'), + (np.short, 'h'), + (np.intc, 'i'), + (np.long, 'l'), + (np.longlong, 'q'), + (np.ubyte, 'B'), + (np.ushort, 'H'), + (np.uintc, 'I'), + (np.ulong, 'L'), + (np.ulonglong, 'Q'), + (np.half, 'e'), + (np.single, 'f'), + (np.double, 'd'), + (np.longdouble, 'g'), + (np.csingle, 'Zf'), + (np.cdouble, 'Zd'), + (np.clongdouble, 'Zg'), +] +scalars_only, codes_only = zip(*scalars_and_codes) + + +class TestScalarPEP3118: + + @pytest.mark.parametrize('scalar', scalars_only, ids=codes_only) + def test_scalar_match_array(self, scalar): + x = scalar() + a = np.array([], dtype=np.dtype(scalar)) + mv_x = memoryview(x) + mv_a = memoryview(a) + assert_equal(mv_x.format, mv_a.format) + + @pytest.mark.parametrize('scalar', scalars_only, ids=codes_only) + def test_scalar_dim(self, scalar): + x = scalar() + mv_x = memoryview(x) + assert_equal(mv_x.itemsize, np.dtype(scalar).itemsize) + assert_equal(mv_x.ndim, 0) + assert_equal(mv_x.shape, ()) + assert_equal(mv_x.strides, ()) + assert_equal(mv_x.suboffsets, ()) + + @pytest.mark.parametrize('scalar, code', scalars_and_codes, ids=codes_only) + def test_scalar_code_and_properties(self, scalar, code): + x = scalar() + expected = dict(strides=(), itemsize=x.dtype.itemsize, ndim=0, + shape=(), format=code, readonly=True) + + mv_x = memoryview(x) + assert self._as_dict(mv_x) == expected + + @pytest.mark.parametrize('scalar', scalars_only, ids=codes_only) + def test_scalar_buffers_readonly(self, scalar): + x = scalar() + with pytest.raises(BufferError, match="scalar buffer is readonly"): + get_buffer_info(x, ["WRITABLE"]) + + def test_void_scalar_structured_data(self): + dt = np.dtype([('name', np.str_, 16), ('grades', np.float64, (2,))]) + x = np.array(('ndarray_scalar', (1.2, 3.0)), dtype=dt)[()] + assert_(isinstance(x, np.void)) + mv_x = memoryview(x) + expected_size = 16 * np.dtype((np.str_, 1)).itemsize + expected_size += 2 * np.dtype(np.float64).itemsize + assert_equal(mv_x.itemsize, expected_size) + assert_equal(mv_x.ndim, 0) + assert_equal(mv_x.shape, ()) + assert_equal(mv_x.strides, ()) + assert_equal(mv_x.suboffsets, ()) + + # check scalar format string against ndarray format string + a = np.array([('Sarah', (8.0, 7.0)), ('John', (6.0, 7.0))], dtype=dt) + assert_(isinstance(a, np.ndarray)) + mv_a = memoryview(a) + assert_equal(mv_x.itemsize, mv_a.itemsize) + assert_equal(mv_x.format, mv_a.format) + + # Check that we do not allow writeable buffer export (technically + # we could allow it sometimes here...) + with pytest.raises(BufferError, match="scalar buffer is readonly"): + get_buffer_info(x, ["WRITABLE"]) + + def _as_dict(self, m): + return dict(strides=m.strides, shape=m.shape, itemsize=m.itemsize, + ndim=m.ndim, format=m.format, readonly=m.readonly) + + def test_datetime_memoryview(self): + # gh-11656 + # Values verified with v1.13.3, shape is not () as in test_scalar_dim + + dt1 = np.datetime64('2016-01-01') + dt2 = np.datetime64('2017-01-01') + expected = dict(strides=(1,), itemsize=1, ndim=1, shape=(8,), + format='B', readonly=True) + v = memoryview(dt1) + assert self._as_dict(v) == expected + + v = memoryview(dt2 - dt1) + assert self._as_dict(v) == expected + + dt = np.dtype([('a', 'uint16'), ('b', 'M8[s]')]) + a = np.empty(1, dt) + # Fails to create a PEP 3118 valid buffer + assert_raises((ValueError, BufferError), memoryview, a[0]) + + # Check that we do not allow writeable buffer export + with pytest.raises(BufferError, match="scalar buffer is readonly"): + get_buffer_info(dt1, ["WRITABLE"]) + + @pytest.mark.parametrize('s', [ + pytest.param("\x32\x32", id="ascii"), + pytest.param("\uFE0F\uFE0F", id="basic multilingual"), + pytest.param("\U0001f4bb\U0001f4bb", id="non-BMP"), + ]) + def test_str_ucs4(self, s): + s = np.str_(s) # only our subclass implements the buffer protocol + + # all the same, characters always encode as ucs4 + expected = dict(strides=(), itemsize=8, ndim=0, shape=(), format='2w', + readonly=True) + + v = memoryview(s) + assert self._as_dict(v) == expected + + # integers of the paltform-appropriate endianness + code_points = np.frombuffer(v, dtype='i4') + + assert_equal(code_points, [ord(c) for c in s]) + + # Check that we do not allow writeable buffer export + with pytest.raises(BufferError, match="scalar buffer is readonly"): + get_buffer_info(s, ["WRITABLE"]) + + def test_user_scalar_fails_buffer(self): + r = rational(1) + with assert_raises(TypeError): + memoryview(r) + + # Check that we do not allow writeable buffer export + with pytest.raises(BufferError, match="scalar buffer is readonly"): + get_buffer_info(r, ["WRITABLE"]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarinherit.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarinherit.py new file mode 100644 index 0000000000000000000000000000000000000000..6693389ac826f568b2d2a3f566576c95758c1bf1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarinherit.py @@ -0,0 +1,105 @@ +""" Test printing of scalar types. + +""" +import pytest + +import numpy as np +from numpy.testing import assert_, assert_raises + + +class A: + pass +class B(A, np.float64): + pass + +class C(B): + pass +class D(C, B): + pass + +class B0(np.float64, A): + pass +class C0(B0): + pass + +class HasNew: + def __new__(cls, *args, **kwargs): + return cls, args, kwargs + +class B1(np.float64, HasNew): + pass + + +class TestInherit: + def test_init(self): + x = B(1.0) + assert_(str(x) == '1.0') + y = C(2.0) + assert_(str(y) == '2.0') + z = D(3.0) + assert_(str(z) == '3.0') + + def test_init2(self): + x = B0(1.0) + assert_(str(x) == '1.0') + y = C0(2.0) + assert_(str(y) == '2.0') + + def test_gh_15395(self): + # HasNew is the second base, so `np.float64` should have priority + x = B1(1.0) + assert_(str(x) == '1.0') + + # previously caused RecursionError!? + with pytest.raises(TypeError): + B1(1.0, 2.0) + + def test_int_repr(self): + # Test that integer repr works correctly for subclasses (gh-27106) + class my_int16(np.int16): + pass + + s = repr(my_int16(3)) + assert s == "my_int16(3)" + +class TestCharacter: + def test_char_radd(self): + # GH issue 9620, reached gentype_add and raise TypeError + np_s = np.bytes_('abc') + np_u = np.str_('abc') + s = b'def' + u = 'def' + assert_(np_s.__radd__(np_s) is NotImplemented) + assert_(np_s.__radd__(np_u) is NotImplemented) + assert_(np_s.__radd__(s) is NotImplemented) + assert_(np_s.__radd__(u) is NotImplemented) + assert_(np_u.__radd__(np_s) is NotImplemented) + assert_(np_u.__radd__(np_u) is NotImplemented) + assert_(np_u.__radd__(s) is NotImplemented) + assert_(np_u.__radd__(u) is NotImplemented) + assert_(s + np_s == b'defabc') + assert_(u + np_u == 'defabc') + + class MyStr(str, np.generic): + # would segfault + pass + + with assert_raises(TypeError): + # Previously worked, but gave completely wrong result + ret = s + MyStr('abc') + + class MyBytes(bytes, np.generic): + # would segfault + pass + + ret = s + MyBytes(b'abc') + assert(type(ret) is type(s)) + assert ret == b"defabc" + + def test_char_repeat(self): + np_s = np.bytes_('abc') + np_u = np.str_('abc') + res_s = b'abc' * 5 + res_u = 'abc' * 5 + assert_(np_s * 5 == res_s) + assert_(np_u * 5 == res_u) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarmath.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarmath.py new file mode 100644 index 0000000000000000000000000000000000000000..63950bb90a92d85f350dd8149adaf6745eab220f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarmath.py @@ -0,0 +1,1165 @@ +import contextlib +import sys +import warnings +import itertools +import operator +import platform +from numpy._utils import _pep440 +import pytest +from hypothesis import given, settings +from hypothesis.strategies import sampled_from +from hypothesis.extra import numpy as hynp + +import numpy as np +from numpy.exceptions import ComplexWarning +from numpy._core._rational_tests import rational +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_almost_equal, + assert_array_equal, IS_PYPY, suppress_warnings, _gen_alignment_data, + assert_warns, check_support_sve, + ) + +types = [np.bool, np.byte, np.ubyte, np.short, np.ushort, np.intc, np.uintc, + np.int_, np.uint, np.longlong, np.ulonglong, + np.single, np.double, np.longdouble, np.csingle, + np.cdouble, np.clongdouble] + +floating_types = np.floating.__subclasses__() +complex_floating_types = np.complexfloating.__subclasses__() + +objecty_things = [object(), None, np.array(None, dtype=object)] + +binary_operators_for_scalars = [ + operator.lt, operator.le, operator.eq, operator.ne, operator.ge, + operator.gt, operator.add, operator.floordiv, operator.mod, + operator.mul, operator.pow, operator.sub, operator.truediv +] +binary_operators_for_scalar_ints = binary_operators_for_scalars + [ + operator.xor, operator.or_, operator.and_ +] + + +# This compares scalarmath against ufuncs. + +class TestTypes: + def test_types(self): + for atype in types: + a = atype(1) + assert_(a == 1, "error with %r: got %r" % (atype, a)) + + def test_type_add(self): + # list of types + for k, atype in enumerate(types): + a_scalar = atype(3) + a_array = np.array([3], dtype=atype) + for l, btype in enumerate(types): + b_scalar = btype(1) + b_array = np.array([1], dtype=btype) + c_scalar = a_scalar + b_scalar + c_array = a_array + b_array + # It was comparing the type numbers, but the new ufunc + # function-finding mechanism finds the lowest function + # to which both inputs can be cast - which produces 'l' + # when you do 'q' + 'b'. The old function finding mechanism + # skipped ahead based on the first argument, but that + # does not produce properly symmetric results... + assert_equal(c_scalar.dtype, c_array.dtype, + "error with types (%d/'%c' + %d/'%c')" % + (k, np.dtype(atype).char, l, np.dtype(btype).char)) + + def test_type_create(self): + for k, atype in enumerate(types): + a = np.array([1, 2, 3], atype) + b = atype([1, 2, 3]) + assert_equal(a, b) + + def test_leak(self): + # test leak of scalar objects + # a leak would show up in valgrind as still-reachable of ~2.6MB + for i in range(200000): + np.add(1, 1) + + +def check_ufunc_scalar_equivalence(op, arr1, arr2): + scalar1 = arr1[()] + scalar2 = arr2[()] + assert isinstance(scalar1, np.generic) + assert isinstance(scalar2, np.generic) + + if arr1.dtype.kind == "c" or arr2.dtype.kind == "c": + comp_ops = {operator.ge, operator.gt, operator.le, operator.lt} + if op in comp_ops and (np.isnan(scalar1) or np.isnan(scalar2)): + pytest.xfail("complex comp ufuncs use sort-order, scalars do not.") + if op == operator.pow and arr2.item() in [-1, 0, 0.5, 1, 2]: + # array**scalar special case can have different result dtype + # (Other powers may have issues also, but are not hit here.) + # TODO: It would be nice to resolve this issue. + pytest.skip("array**2 can have incorrect/weird result dtype") + + # ignore fpe's since they may just mismatch for integers anyway. + with warnings.catch_warnings(), np.errstate(all="ignore"): + # Comparisons DeprecationWarnings replacing errors (2022-03): + warnings.simplefilter("error", DeprecationWarning) + try: + res = op(arr1, arr2) + except Exception as e: + with pytest.raises(type(e)): + op(scalar1, scalar2) + else: + scalar_res = op(scalar1, scalar2) + assert_array_equal(scalar_res, res, strict=True) + + +@pytest.mark.slow +@settings(max_examples=10000, deadline=2000) +@given(sampled_from(binary_operators_for_scalars), + hynp.arrays(dtype=hynp.scalar_dtypes(), shape=()), + hynp.arrays(dtype=hynp.scalar_dtypes(), shape=())) +def test_array_scalar_ufunc_equivalence(op, arr1, arr2): + """ + This is a thorough test attempting to cover important promotion paths + and ensuring that arrays and scalars stay as aligned as possible. + However, if it creates troubles, it should maybe just be removed. + """ + check_ufunc_scalar_equivalence(op, arr1, arr2) + + +@pytest.mark.slow +@given(sampled_from(binary_operators_for_scalars), + hynp.scalar_dtypes(), hynp.scalar_dtypes()) +def test_array_scalar_ufunc_dtypes(op, dt1, dt2): + # Same as above, but don't worry about sampling weird values so that we + # do not have to sample as much + arr1 = np.array(2, dtype=dt1) + arr2 = np.array(3, dtype=dt2) # some power do weird things. + + check_ufunc_scalar_equivalence(op, arr1, arr2) + + +@pytest.mark.parametrize("fscalar", [np.float16, np.float32]) +def test_int_float_promotion_truediv(fscalar): + # Promotion for mixed int and float32/float16 must not go to float64 + i = np.int8(1) + f = fscalar(1) + expected = np.result_type(i, f) + assert (i / f).dtype == expected + assert (f / i).dtype == expected + # But normal int / int true division goes to float64: + assert (i / i).dtype == np.dtype("float64") + # For int16, result has to be ast least float32 (takes ufunc path): + assert (np.int16(1) / f).dtype == np.dtype("float32") + + +class TestBaseMath: + @pytest.mark.xfail(check_support_sve(), reason="gh-22982") + def test_blocked(self): + # test alignments offsets for simd instructions + # alignments for vz + 2 * (vs - 1) + 1 + for dt, sz in [(np.float32, 11), (np.float64, 7), (np.int32, 11)]: + for out, inp1, inp2, msg in _gen_alignment_data(dtype=dt, + type='binary', + max_size=sz): + exp1 = np.ones_like(inp1) + inp1[...] = np.ones_like(inp1) + inp2[...] = np.zeros_like(inp2) + assert_almost_equal(np.add(inp1, inp2), exp1, err_msg=msg) + assert_almost_equal(np.add(inp1, 2), exp1 + 2, err_msg=msg) + assert_almost_equal(np.add(1, inp2), exp1, err_msg=msg) + + np.add(inp1, inp2, out=out) + assert_almost_equal(out, exp1, err_msg=msg) + + inp2[...] += np.arange(inp2.size, dtype=dt) + 1 + assert_almost_equal(np.square(inp2), + np.multiply(inp2, inp2), err_msg=msg) + # skip true divide for ints + if dt != np.int32: + assert_almost_equal(np.reciprocal(inp2), + np.divide(1, inp2), err_msg=msg) + + inp1[...] = np.ones_like(inp1) + np.add(inp1, 2, out=out) + assert_almost_equal(out, exp1 + 2, err_msg=msg) + inp2[...] = np.ones_like(inp2) + np.add(2, inp2, out=out) + assert_almost_equal(out, exp1 + 2, err_msg=msg) + + def test_lower_align(self): + # check data that is not aligned to element size + # i.e doubles are aligned to 4 bytes on i386 + d = np.zeros(23 * 8, dtype=np.int8)[4:-4].view(np.float64) + o = np.zeros(23 * 8, dtype=np.int8)[4:-4].view(np.float64) + assert_almost_equal(d + d, d * 2) + np.add(d, d, out=o) + np.add(np.ones_like(d), d, out=o) + np.add(d, np.ones_like(d), out=o) + np.add(np.ones_like(d), d) + np.add(d, np.ones_like(d)) + + +class TestPower: + def test_small_types(self): + for t in [np.int8, np.int16, np.float16]: + a = t(3) + b = a ** 4 + assert_(b == 81, "error with %r: got %r" % (t, b)) + + def test_large_types(self): + for t in [np.int32, np.int64, np.float32, np.float64, np.longdouble]: + a = t(51) + b = a ** 4 + msg = "error with %r: got %r" % (t, b) + if np.issubdtype(t, np.integer): + assert_(b == 6765201, msg) + else: + assert_almost_equal(b, 6765201, err_msg=msg) + + def test_integers_to_negative_integer_power(self): + # Note that the combination of uint64 with a signed integer + # has common type np.float64. The other combinations should all + # raise a ValueError for integer ** negative integer. + exp = [np.array(-1, dt)[()] for dt in 'bhilq'] + + # 1 ** -1 possible special case + base = [np.array(1, dt)[()] for dt in 'bhilqBHILQ'] + for i1, i2 in itertools.product(base, exp): + if i1.dtype != np.uint64: + assert_raises(ValueError, operator.pow, i1, i2) + else: + res = operator.pow(i1, i2) + assert_(res.dtype.type is np.float64) + assert_almost_equal(res, 1.) + + # -1 ** -1 possible special case + base = [np.array(-1, dt)[()] for dt in 'bhilq'] + for i1, i2 in itertools.product(base, exp): + if i1.dtype != np.uint64: + assert_raises(ValueError, operator.pow, i1, i2) + else: + res = operator.pow(i1, i2) + assert_(res.dtype.type is np.float64) + assert_almost_equal(res, -1.) + + # 2 ** -1 perhaps generic + base = [np.array(2, dt)[()] for dt in 'bhilqBHILQ'] + for i1, i2 in itertools.product(base, exp): + if i1.dtype != np.uint64: + assert_raises(ValueError, operator.pow, i1, i2) + else: + res = operator.pow(i1, i2) + assert_(res.dtype.type is np.float64) + assert_almost_equal(res, .5) + + def test_mixed_types(self): + typelist = [np.int8, np.int16, np.float16, + np.float32, np.float64, np.int8, + np.int16, np.int32, np.int64] + for t1 in typelist: + for t2 in typelist: + a = t1(3) + b = t2(2) + result = a**b + msg = ("error with %r and %r:" + "got %r, expected %r") % (t1, t2, result, 9) + if np.issubdtype(np.dtype(result), np.integer): + assert_(result == 9, msg) + else: + assert_almost_equal(result, 9, err_msg=msg) + + def test_modular_power(self): + # modular power is not implemented, so ensure it errors + a = 5 + b = 4 + c = 10 + expected = pow(a, b, c) # noqa: F841 + for t in (np.int32, np.float32, np.complex64): + # note that 3-operand power only dispatches on the first argument + assert_raises(TypeError, operator.pow, t(a), b, c) + assert_raises(TypeError, operator.pow, np.array(t(a)), b, c) + + +def floordiv_and_mod(x, y): + return (x // y, x % y) + + +def _signs(dt): + if dt in np.typecodes['UnsignedInteger']: + return (+1,) + else: + return (+1, -1) + + +class TestModulus: + + def test_modulus_basic(self): + dt = np.typecodes['AllInteger'] + np.typecodes['Float'] + for op in [floordiv_and_mod, divmod]: + for dt1, dt2 in itertools.product(dt, dt): + for sg1, sg2 in itertools.product(_signs(dt1), _signs(dt2)): + fmt = 'op: %s, dt1: %s, dt2: %s, sg1: %s, sg2: %s' + msg = fmt % (op.__name__, dt1, dt2, sg1, sg2) + a = np.array(sg1*71, dtype=dt1)[()] + b = np.array(sg2*19, dtype=dt2)[()] + div, rem = op(a, b) + assert_equal(div*b + rem, a, err_msg=msg) + if sg2 == -1: + assert_(b < rem <= 0, msg) + else: + assert_(b > rem >= 0, msg) + + def test_float_modulus_exact(self): + # test that float results are exact for small integers. This also + # holds for the same integers scaled by powers of two. + nlst = list(range(-127, 0)) + plst = list(range(1, 128)) + dividend = nlst + [0] + plst + divisor = nlst + plst + arg = list(itertools.product(dividend, divisor)) + tgt = list(divmod(*t) for t in arg) + + a, b = np.array(arg, dtype=int).T + # convert exact integer results from Python to float so that + # signed zero can be used, it is checked. + tgtdiv, tgtrem = np.array(tgt, dtype=float).T + tgtdiv = np.where((tgtdiv == 0.0) & ((b < 0) ^ (a < 0)), -0.0, tgtdiv) + tgtrem = np.where((tgtrem == 0.0) & (b < 0), -0.0, tgtrem) + + for op in [floordiv_and_mod, divmod]: + for dt in np.typecodes['Float']: + msg = 'op: %s, dtype: %s' % (op.__name__, dt) + fa = a.astype(dt) + fb = b.astype(dt) + # use list comprehension so a_ and b_ are scalars + div, rem = zip(*[op(a_, b_) for a_, b_ in zip(fa, fb)]) + assert_equal(div, tgtdiv, err_msg=msg) + assert_equal(rem, tgtrem, err_msg=msg) + + def test_float_modulus_roundoff(self): + # gh-6127 + dt = np.typecodes['Float'] + for op in [floordiv_and_mod, divmod]: + for dt1, dt2 in itertools.product(dt, dt): + for sg1, sg2 in itertools.product((+1, -1), (+1, -1)): + fmt = 'op: %s, dt1: %s, dt2: %s, sg1: %s, sg2: %s' + msg = fmt % (op.__name__, dt1, dt2, sg1, sg2) + a = np.array(sg1*78*6e-8, dtype=dt1)[()] + b = np.array(sg2*6e-8, dtype=dt2)[()] + div, rem = op(a, b) + # Equal assertion should hold when fmod is used + assert_equal(div*b + rem, a, err_msg=msg) + if sg2 == -1: + assert_(b < rem <= 0, msg) + else: + assert_(b > rem >= 0, msg) + + def test_float_modulus_corner_cases(self): + # Check remainder magnitude. + for dt in np.typecodes['Float']: + b = np.array(1.0, dtype=dt) + a = np.nextafter(np.array(0.0, dtype=dt), -b) + rem = operator.mod(a, b) + assert_(rem <= b, 'dt: %s' % dt) + rem = operator.mod(-a, -b) + assert_(rem >= -b, 'dt: %s' % dt) + + # Check nans, inf + with suppress_warnings() as sup: + sup.filter(RuntimeWarning, "invalid value encountered in remainder") + sup.filter(RuntimeWarning, "divide by zero encountered in remainder") + sup.filter(RuntimeWarning, "divide by zero encountered in floor_divide") + sup.filter(RuntimeWarning, "divide by zero encountered in divmod") + sup.filter(RuntimeWarning, "invalid value encountered in divmod") + for dt in np.typecodes['Float']: + fone = np.array(1.0, dtype=dt) + fzer = np.array(0.0, dtype=dt) + finf = np.array(np.inf, dtype=dt) + fnan = np.array(np.nan, dtype=dt) + rem = operator.mod(fone, fzer) + assert_(np.isnan(rem), 'dt: %s' % dt) + # MSVC 2008 returns NaN here, so disable the check. + #rem = operator.mod(fone, finf) + #assert_(rem == fone, 'dt: %s' % dt) + rem = operator.mod(fone, fnan) + assert_(np.isnan(rem), 'dt: %s' % dt) + rem = operator.mod(finf, fone) + assert_(np.isnan(rem), 'dt: %s' % dt) + for op in [floordiv_and_mod, divmod]: + div, mod = op(fone, fzer) + assert_(np.isinf(div)) and assert_(np.isnan(mod)) + + def test_inplace_floordiv_handling(self): + # issue gh-12927 + # this only applies to in-place floordiv //=, because the output type + # promotes to float which does not fit + a = np.array([1, 2], np.int64) + b = np.array([1, 2], np.uint64) + with pytest.raises(TypeError, + match=r"Cannot cast ufunc 'floor_divide' output from"): + a //= b + + +class TestComplexDivision: + def test_zero_division(self): + with np.errstate(all="ignore"): + for t in [np.complex64, np.complex128]: + a = t(0.0) + b = t(1.0) + assert_(np.isinf(b/a)) + b = t(complex(np.inf, np.inf)) + assert_(np.isinf(b/a)) + b = t(complex(np.inf, np.nan)) + assert_(np.isinf(b/a)) + b = t(complex(np.nan, np.inf)) + assert_(np.isinf(b/a)) + b = t(complex(np.nan, np.nan)) + assert_(np.isnan(b/a)) + b = t(0.) + assert_(np.isnan(b/a)) + + def test_signed_zeros(self): + with np.errstate(all="ignore"): + for t in [np.complex64, np.complex128]: + # tupled (numerator, denominator, expected) + # for testing as expected == numerator/denominator + data = ( + (( 0.0,-1.0), ( 0.0, 1.0), (-1.0,-0.0)), + (( 0.0,-1.0), ( 0.0,-1.0), ( 1.0,-0.0)), + (( 0.0,-1.0), (-0.0,-1.0), ( 1.0, 0.0)), + (( 0.0,-1.0), (-0.0, 1.0), (-1.0, 0.0)), + (( 0.0, 1.0), ( 0.0,-1.0), (-1.0, 0.0)), + (( 0.0,-1.0), ( 0.0,-1.0), ( 1.0,-0.0)), + ((-0.0,-1.0), ( 0.0,-1.0), ( 1.0,-0.0)), + ((-0.0, 1.0), ( 0.0,-1.0), (-1.0,-0.0)) + ) + for cases in data: + n = cases[0] + d = cases[1] + ex = cases[2] + result = t(complex(n[0], n[1])) / t(complex(d[0], d[1])) + # check real and imag parts separately to avoid comparison + # in array context, which does not account for signed zeros + assert_equal(result.real, ex[0]) + assert_equal(result.imag, ex[1]) + + def test_branches(self): + with np.errstate(all="ignore"): + for t in [np.complex64, np.complex128]: + # tupled (numerator, denominator, expected) + # for testing as expected == numerator/denominator + data = list() + + # trigger branch: real(fabs(denom)) > imag(fabs(denom)) + # followed by else condition as neither are == 0 + data.append((( 2.0, 1.0), ( 2.0, 1.0), (1.0, 0.0))) + + # trigger branch: real(fabs(denom)) > imag(fabs(denom)) + # followed by if condition as both are == 0 + # is performed in test_zero_division(), so this is skipped + + # trigger else if branch: real(fabs(denom)) < imag(fabs(denom)) + data.append((( 1.0, 2.0), ( 1.0, 2.0), (1.0, 0.0))) + + for cases in data: + n = cases[0] + d = cases[1] + ex = cases[2] + result = t(complex(n[0], n[1])) / t(complex(d[0], d[1])) + # check real and imag parts separately to avoid comparison + # in array context, which does not account for signed zeros + assert_equal(result.real, ex[0]) + assert_equal(result.imag, ex[1]) + + +class TestConversion: + def test_int_from_long(self): + l = [1e6, 1e12, 1e18, -1e6, -1e12, -1e18] + li = [10**6, 10**12, 10**18, -10**6, -10**12, -10**18] + for T in [None, np.float64, np.int64]: + a = np.array(l, dtype=T) + assert_equal([int(_m) for _m in a], li) + + a = np.array(l[:3], dtype=np.uint64) + assert_equal([int(_m) for _m in a], li[:3]) + + def test_iinfo_long_values(self): + for code in 'bBhH': + with pytest.raises(OverflowError): + np.array(np.iinfo(code).max + 1, dtype=code) + + for code in np.typecodes['AllInteger']: + res = np.array(np.iinfo(code).max, dtype=code) + tgt = np.iinfo(code).max + assert_(res == tgt) + + for code in np.typecodes['AllInteger']: + res = np.dtype(code).type(np.iinfo(code).max) + tgt = np.iinfo(code).max + assert_(res == tgt) + + def test_int_raise_behaviour(self): + def overflow_error_func(dtype): + dtype(np.iinfo(dtype).max + 1) + + for code in [np.int_, np.uint, np.longlong, np.ulonglong]: + assert_raises(OverflowError, overflow_error_func, code) + + def test_int_from_infinite_longdouble(self): + # gh-627 + x = np.longdouble(np.inf) + assert_raises(OverflowError, int, x) + with suppress_warnings() as sup: + sup.record(ComplexWarning) + x = np.clongdouble(np.inf) + assert_raises(OverflowError, int, x) + assert_equal(len(sup.log), 1) + + @pytest.mark.skipif(not IS_PYPY, reason="Test is PyPy only (gh-9972)") + def test_int_from_infinite_longdouble___int__(self): + x = np.longdouble(np.inf) + assert_raises(OverflowError, x.__int__) + with suppress_warnings() as sup: + sup.record(ComplexWarning) + x = np.clongdouble(np.inf) + assert_raises(OverflowError, x.__int__) + assert_equal(len(sup.log), 1) + + @pytest.mark.skipif(np.finfo(np.double) == np.finfo(np.longdouble), + reason="long double is same as double") + @pytest.mark.skipif(platform.machine().startswith("ppc"), + reason="IBM double double") + def test_int_from_huge_longdouble(self): + # Produce a longdouble that would overflow a double, + # use exponent that avoids bug in Darwin pow function. + exp = np.finfo(np.double).maxexp - 1 + huge_ld = 2 * 1234 * np.longdouble(2) ** exp + huge_i = 2 * 1234 * 2 ** exp + assert_(huge_ld != np.inf) + assert_equal(int(huge_ld), huge_i) + + def test_int_from_longdouble(self): + x = np.longdouble(1.5) + assert_equal(int(x), 1) + x = np.longdouble(-10.5) + assert_equal(int(x), -10) + + def test_numpy_scalar_relational_operators(self): + # All integer + for dt1 in np.typecodes['AllInteger']: + assert_(1 > np.array(0, dtype=dt1)[()], "type %s failed" % (dt1,)) + assert_(not 1 < np.array(0, dtype=dt1)[()], "type %s failed" % (dt1,)) + + for dt2 in np.typecodes['AllInteger']: + assert_(np.array(1, dtype=dt1)[()] > np.array(0, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + assert_(not np.array(1, dtype=dt1)[()] < np.array(0, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + + #Unsigned integers + for dt1 in 'BHILQP': + assert_(-1 < np.array(1, dtype=dt1)[()], "type %s failed" % (dt1,)) + assert_(not -1 > np.array(1, dtype=dt1)[()], "type %s failed" % (dt1,)) + assert_(-1 != np.array(1, dtype=dt1)[()], "type %s failed" % (dt1,)) + + #unsigned vs signed + for dt2 in 'bhilqp': + assert_(np.array(1, dtype=dt1)[()] > np.array(-1, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + assert_(not np.array(1, dtype=dt1)[()] < np.array(-1, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + assert_(np.array(1, dtype=dt1)[()] != np.array(-1, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + + #Signed integers and floats + for dt1 in 'bhlqp' + np.typecodes['Float']: + assert_(1 > np.array(-1, dtype=dt1)[()], "type %s failed" % (dt1,)) + assert_(not 1 < np.array(-1, dtype=dt1)[()], "type %s failed" % (dt1,)) + assert_(-1 == np.array(-1, dtype=dt1)[()], "type %s failed" % (dt1,)) + + for dt2 in 'bhlqp' + np.typecodes['Float']: + assert_(np.array(1, dtype=dt1)[()] > np.array(-1, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + assert_(not np.array(1, dtype=dt1)[()] < np.array(-1, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + assert_(np.array(-1, dtype=dt1)[()] == np.array(-1, dtype=dt2)[()], + "type %s and %s failed" % (dt1, dt2)) + + def test_scalar_comparison_to_none(self): + # Scalars should just return False and not give a warnings. + # The comparisons are flagged by pep8, ignore that. + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', FutureWarning) + assert_(not np.float32(1) == None) # noqa: E711 + assert_(not np.str_('test') == None) # noqa: E711 + # This is dubious (see below): + assert_(not np.datetime64('NaT') == None) # noqa: E711 + + assert_(np.float32(1) != None) # noqa: E711 + assert_(np.str_('test') != None) # noqa: E711 + # This is dubious (see below): + assert_(np.datetime64('NaT') != None) # noqa: E711 + assert_(len(w) == 0) + + # For documentation purposes, this is why the datetime is dubious. + # At the time of deprecation this was no behaviour change, but + # it has to be considered when the deprecations are done. + assert_(np.equal(np.datetime64('NaT'), None)) + + +#class TestRepr: +# def test_repr(self): +# for t in types: +# val = t(1197346475.0137341) +# val_repr = repr(val) +# val2 = eval(val_repr) +# assert_equal( val, val2 ) + + +class TestRepr: + def _test_type_repr(self, t): + finfo = np.finfo(t) + last_fraction_bit_idx = finfo.nexp + finfo.nmant + last_exponent_bit_idx = finfo.nexp + storage_bytes = np.dtype(t).itemsize*8 + # could add some more types to the list below + for which in ['small denorm', 'small norm']: + # Values from https://en.wikipedia.org/wiki/IEEE_754 + constr = np.array([0x00]*storage_bytes, dtype=np.uint8) + if which == 'small denorm': + byte = last_fraction_bit_idx // 8 + bytebit = 7-(last_fraction_bit_idx % 8) + constr[byte] = 1 << bytebit + elif which == 'small norm': + byte = last_exponent_bit_idx // 8 + bytebit = 7-(last_exponent_bit_idx % 8) + constr[byte] = 1 << bytebit + else: + raise ValueError('hmm') + val = constr.view(t)[0] + val_repr = repr(val) + val2 = t(eval(val_repr)) + if not (val2 == 0 and val < 1e-100): + assert_equal(val, val2) + + def test_float_repr(self): + # long double test cannot work, because eval goes through a python + # float + for t in [np.float32, np.float64]: + self._test_type_repr(t) + + +if not IS_PYPY: + # sys.getsizeof() is not valid on PyPy + class TestSizeOf: + + def test_equal_nbytes(self): + for type in types: + x = type(0) + assert_(sys.getsizeof(x) > x.nbytes) + + def test_error(self): + d = np.float32() + assert_raises(TypeError, d.__sizeof__, "a") + + +class TestMultiply: + def test_seq_repeat(self): + # Test that basic sequences get repeated when multiplied with + # numpy integers. And errors are raised when multiplied with others. + # Some of this behaviour may be controversial and could be open for + # change. + accepted_types = set(np.typecodes["AllInteger"]) + deprecated_types = {'?'} + forbidden_types = ( + set(np.typecodes["All"]) - accepted_types - deprecated_types) + forbidden_types -= {'V'} # can't default-construct void scalars + + for seq_type in (list, tuple): + seq = seq_type([1, 2, 3]) + for numpy_type in accepted_types: + i = np.dtype(numpy_type).type(2) + assert_equal(seq * i, seq * int(i)) + assert_equal(i * seq, int(i) * seq) + + for numpy_type in deprecated_types: + i = np.dtype(numpy_type).type() + assert_equal( + assert_warns(DeprecationWarning, operator.mul, seq, i), + seq * int(i)) + assert_equal( + assert_warns(DeprecationWarning, operator.mul, i, seq), + int(i) * seq) + + for numpy_type in forbidden_types: + i = np.dtype(numpy_type).type() + assert_raises(TypeError, operator.mul, seq, i) + assert_raises(TypeError, operator.mul, i, seq) + + def test_no_seq_repeat_basic_array_like(self): + # Test that an array-like which does not know how to be multiplied + # does not attempt sequence repeat (raise TypeError). + # See also gh-7428. + class ArrayLike: + def __init__(self, arr): + self.arr = arr + + def __array__(self, dtype=None, copy=None): + return self.arr + + # Test for simple ArrayLike above and memoryviews (original report) + for arr_like in (ArrayLike(np.ones(3)), memoryview(np.ones(3))): + assert_array_equal(arr_like * np.float32(3.), np.full(3, 3.)) + assert_array_equal(np.float32(3.) * arr_like, np.full(3, 3.)) + assert_array_equal(arr_like * np.int_(3), np.full(3, 3)) + assert_array_equal(np.int_(3) * arr_like, np.full(3, 3)) + + +class TestNegative: + def test_exceptions(self): + a = np.ones((), dtype=np.bool)[()] + assert_raises(TypeError, operator.neg, a) + + def test_result(self): + types = np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + with suppress_warnings() as sup: + sup.filter(RuntimeWarning) + for dt in types: + a = np.ones((), dtype=dt)[()] + if dt in np.typecodes['UnsignedInteger']: + st = np.dtype(dt).type + max = st(np.iinfo(dt).max) + assert_equal(operator.neg(a), max) + else: + assert_equal(operator.neg(a) + a, 0) + +class TestSubtract: + def test_exceptions(self): + a = np.ones((), dtype=np.bool)[()] + assert_raises(TypeError, operator.sub, a, a) + + def test_result(self): + types = np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + with suppress_warnings() as sup: + sup.filter(RuntimeWarning) + for dt in types: + a = np.ones((), dtype=dt)[()] + assert_equal(operator.sub(a, a), 0) + + +class TestAbs: + def _test_abs_func(self, absfunc, test_dtype): + x = test_dtype(-1.5) + assert_equal(absfunc(x), 1.5) + x = test_dtype(0.0) + res = absfunc(x) + # assert_equal() checks zero signedness + assert_equal(res, 0.0) + x = test_dtype(-0.0) + res = absfunc(x) + assert_equal(res, 0.0) + + x = test_dtype(np.finfo(test_dtype).max) + assert_equal(absfunc(x), x.real) + + with suppress_warnings() as sup: + sup.filter(UserWarning) + x = test_dtype(np.finfo(test_dtype).tiny) + assert_equal(absfunc(x), x.real) + + x = test_dtype(np.finfo(test_dtype).min) + assert_equal(absfunc(x), -x.real) + + @pytest.mark.parametrize("dtype", floating_types + complex_floating_types) + def test_builtin_abs(self, dtype): + if ( + sys.platform == "cygwin" and dtype == np.clongdouble and + ( + _pep440.parse(platform.release().split("-")[0]) + < _pep440.Version("3.3.0") + ) + ): + pytest.xfail( + reason="absl is computed in double precision on cygwin < 3.3" + ) + self._test_abs_func(abs, dtype) + + @pytest.mark.parametrize("dtype", floating_types + complex_floating_types) + def test_numpy_abs(self, dtype): + if ( + sys.platform == "cygwin" and dtype == np.clongdouble and + ( + _pep440.parse(platform.release().split("-")[0]) + < _pep440.Version("3.3.0") + ) + ): + pytest.xfail( + reason="absl is computed in double precision on cygwin < 3.3" + ) + self._test_abs_func(np.abs, dtype) + +class TestBitShifts: + + @pytest.mark.parametrize('type_code', np.typecodes['AllInteger']) + @pytest.mark.parametrize('op', + [operator.rshift, operator.lshift], ids=['>>', '<<']) + def test_shift_all_bits(self, type_code, op): + """Shifts where the shift amount is the width of the type or wider """ + # gh-2449 + dt = np.dtype(type_code) + nbits = dt.itemsize * 8 + for val in [5, -5]: + for shift in [nbits, nbits + 4]: + val_scl = np.array(val).astype(dt)[()] + shift_scl = dt.type(shift) + res_scl = op(val_scl, shift_scl) + if val_scl < 0 and op is operator.rshift: + # sign bit is preserved + assert_equal(res_scl, -1) + else: + assert_equal(res_scl, 0) + + # Result on scalars should be the same as on arrays + val_arr = np.array([val_scl]*32, dtype=dt) + shift_arr = np.array([shift]*32, dtype=dt) + res_arr = op(val_arr, shift_arr) + assert_equal(res_arr, res_scl) + + +class TestHash: + @pytest.mark.parametrize("type_code", np.typecodes['AllInteger']) + def test_integer_hashes(self, type_code): + scalar = np.dtype(type_code).type + for i in range(128): + assert hash(i) == hash(scalar(i)) + + @pytest.mark.parametrize("type_code", np.typecodes['AllFloat']) + def test_float_and_complex_hashes(self, type_code): + scalar = np.dtype(type_code).type + for val in [np.pi, np.inf, 3, 6.]: + numpy_val = scalar(val) + # Cast back to Python, in case the NumPy scalar has less precision + if numpy_val.dtype.kind == 'c': + val = complex(numpy_val) + else: + val = float(numpy_val) + assert val == numpy_val + assert hash(val) == hash(numpy_val) + + if hash(float(np.nan)) != hash(float(np.nan)): + # If Python distinguishes different NaNs we do so too (gh-18833) + assert hash(scalar(np.nan)) != hash(scalar(np.nan)) + + @pytest.mark.parametrize("type_code", np.typecodes['Complex']) + def test_complex_hashes(self, type_code): + # Test some complex valued hashes specifically: + scalar = np.dtype(type_code).type + for val in [np.pi+1j, np.inf-3j, 3j, 6.+1j]: + numpy_val = scalar(val) + assert hash(complex(numpy_val)) == hash(numpy_val) + + +@contextlib.contextmanager +def recursionlimit(n): + o = sys.getrecursionlimit() + try: + sys.setrecursionlimit(n) + yield + finally: + sys.setrecursionlimit(o) + + +@given(sampled_from(objecty_things), + sampled_from(binary_operators_for_scalar_ints), + sampled_from(types + [rational])) +def test_operator_object_left(o, op, type_): + try: + with recursionlimit(200): + op(o, type_(1)) + except TypeError: + pass + + +@given(sampled_from(objecty_things), + sampled_from(binary_operators_for_scalar_ints), + sampled_from(types + [rational])) +def test_operator_object_right(o, op, type_): + try: + with recursionlimit(200): + op(type_(1), o) + except TypeError: + pass + + +@given(sampled_from(binary_operators_for_scalars), + sampled_from(types), + sampled_from(types)) +def test_operator_scalars(op, type1, type2): + try: + op(type1(1), type2(1)) + except TypeError: + pass + + +@pytest.mark.parametrize("op", binary_operators_for_scalars) +@pytest.mark.parametrize("sctype", [np.longdouble, np.clongdouble]) +def test_longdouble_operators_with_obj(sctype, op): + # This is/used to be tricky, because NumPy generally falls back to + # using the ufunc via `np.asarray()`, this effectively might do: + # longdouble + None + # -> asarray(longdouble) + np.array(None, dtype=object) + # -> asarray(longdouble).astype(object) + np.array(None, dtype=object) + # And after getting the scalars in the inner loop: + # -> longdouble + None + # + # That would recurse infinitely. Other scalars return the python object + # on cast, so this type of things works OK. + # + # As of NumPy 2.1, this has been consolidated into the np.generic binops + # and now checks `.item()`. That also allows the below path to work now. + try: + op(sctype(3), None) + except TypeError: + pass + try: + op(None, sctype(3)) + except TypeError: + pass + + +@pytest.mark.parametrize("op", [operator.add, operator.pow, operator.sub]) +@pytest.mark.parametrize("sctype", [np.longdouble, np.clongdouble]) +def test_longdouble_with_arrlike(sctype, op): + # As of NumPy 2.1, longdouble behaves like other types and can coerce + # e.g. lists. (Not necessarily better, but consistent.) + assert_array_equal(op(sctype(3), [1, 2]), op(3, np.array([1, 2]))) + assert_array_equal(op([1, 2], sctype(3)), op(np.array([1, 2]), 3)) + + +@pytest.mark.parametrize("op", binary_operators_for_scalars) +@pytest.mark.parametrize("sctype", [np.longdouble, np.clongdouble]) +@np.errstate(all="ignore") +def test_longdouble_operators_with_large_int(sctype, op): + # (See `test_longdouble_operators_with_obj` for why longdouble is special) + # NEP 50 means that the result is clearly a (c)longdouble here: + if sctype == np.clongdouble and op in [operator.mod, operator.floordiv]: + # The above operators are not support for complex though... + with pytest.raises(TypeError): + op(sctype(3), 2**64) + with pytest.raises(TypeError): + op(sctype(3), 2**64) + else: + assert op(sctype(3), -2**64) == op(sctype(3), sctype(-2**64)) + assert op(2**64, sctype(3)) == op(sctype(2**64), sctype(3)) + + +@pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) +@pytest.mark.parametrize("operation", [ + lambda min, max: max + max, + lambda min, max: min - max, + lambda min, max: max * max], ids=["+", "-", "*"]) +def test_scalar_integer_operation_overflow(dtype, operation): + st = np.dtype(dtype).type + min = st(np.iinfo(dtype).min) + max = st(np.iinfo(dtype).max) + + with pytest.warns(RuntimeWarning, match="overflow encountered"): + operation(min, max) + + +@pytest.mark.parametrize("dtype", np.typecodes["Integer"]) +@pytest.mark.parametrize("operation", [ + lambda min, neg_1: -min, + lambda min, neg_1: abs(min), + lambda min, neg_1: min * neg_1, + pytest.param(lambda min, neg_1: min // neg_1, + marks=pytest.mark.skip(reason="broken on some platforms"))], + ids=["neg", "abs", "*", "//"]) +def test_scalar_signed_integer_overflow(dtype, operation): + # The minimum signed integer can "overflow" for some additional operations + st = np.dtype(dtype).type + min = st(np.iinfo(dtype).min) + neg_1 = st(-1) + + with pytest.warns(RuntimeWarning, match="overflow encountered"): + operation(min, neg_1) + + +@pytest.mark.parametrize("dtype", np.typecodes["UnsignedInteger"]) +def test_scalar_unsigned_integer_overflow(dtype): + val = np.dtype(dtype).type(8) + with pytest.warns(RuntimeWarning, match="overflow encountered"): + -val + + zero = np.dtype(dtype).type(0) + -zero # does not warn + +@pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) +@pytest.mark.parametrize("operation", [ + lambda val, zero: val // zero, + lambda val, zero: val % zero, ], ids=["//", "%"]) +def test_scalar_integer_operation_divbyzero(dtype, operation): + st = np.dtype(dtype).type + val = st(100) + zero = st(0) + + with pytest.warns(RuntimeWarning, match="divide by zero"): + operation(val, zero) + + +ops_with_names = [ + ("__lt__", "__gt__", operator.lt, True), + ("__le__", "__ge__", operator.le, True), + ("__eq__", "__eq__", operator.eq, True), + # Note __op__ and __rop__ may be identical here: + ("__ne__", "__ne__", operator.ne, True), + ("__gt__", "__lt__", operator.gt, True), + ("__ge__", "__le__", operator.ge, True), + ("__floordiv__", "__rfloordiv__", operator.floordiv, False), + ("__truediv__", "__rtruediv__", operator.truediv, False), + ("__add__", "__radd__", operator.add, False), + ("__mod__", "__rmod__", operator.mod, False), + ("__mul__", "__rmul__", operator.mul, False), + ("__pow__", "__rpow__", operator.pow, False), + ("__sub__", "__rsub__", operator.sub, False), +] + + +@pytest.mark.parametrize(["__op__", "__rop__", "op", "cmp"], ops_with_names) +@pytest.mark.parametrize("sctype", [np.float32, np.float64, np.longdouble]) +def test_subclass_deferral(sctype, __op__, __rop__, op, cmp): + """ + This test covers scalar subclass deferral. Note that this is exceedingly + complicated, especially since it tends to fall back to the array paths and + these additionally add the "array priority" mechanism. + + The behaviour was modified subtly in 1.22 (to make it closer to how Python + scalars work). Due to its complexity and the fact that subclassing NumPy + scalars is probably a bad idea to begin with. There is probably room + for adjustments here. + """ + class myf_simple1(sctype): + pass + + class myf_simple2(sctype): + pass + + def op_func(self, other): + return __op__ + + def rop_func(self, other): + return __rop__ + + myf_op = type("myf_op", (sctype,), {__op__: op_func, __rop__: rop_func}) + + # inheritance has to override, or this is correctly lost: + res = op(myf_simple1(1), myf_simple2(2)) + assert type(res) == sctype or type(res) == np.bool + assert op(myf_simple1(1), myf_simple2(2)) == op(1, 2) # inherited + + # Two independent subclasses do not really define an order. This could + # be attempted, but we do not since Python's `int` does neither: + assert op(myf_op(1), myf_simple1(2)) == __op__ + assert op(myf_simple1(1), myf_op(2)) == op(1, 2) # inherited + + +def test_longdouble_complex(): + # Simple test to check longdouble and complex combinations, since these + # need to go through promotion, which longdouble needs to be careful about. + x = np.longdouble(1) + assert x + 1j == 1+1j + assert 1j + x == 1+1j + + +@pytest.mark.parametrize(["__op__", "__rop__", "op", "cmp"], ops_with_names) +@pytest.mark.parametrize("subtype", [float, int, complex, np.float16]) +def test_pyscalar_subclasses(subtype, __op__, __rop__, op, cmp): + # This tests that python scalar subclasses behave like a float64 (if they + # don't override it). + # In an earlier version of NEP 50, they behaved like the Python buildins. + def op_func(self, other): + return __op__ + + def rop_func(self, other): + return __rop__ + + # Check that deferring is indicated using `__array_ufunc__`: + myt = type("myt", (subtype,), + {__op__: op_func, __rop__: rop_func, "__array_ufunc__": None}) + + # Just like normally, we should never presume we can modify the float. + assert op(myt(1), np.float64(2)) == __op__ + assert op(np.float64(1), myt(2)) == __rop__ + + if op in {operator.mod, operator.floordiv} and subtype == complex: + return # module is not support for complex. Do not test. + + if __rop__ == __op__: + return + + # When no deferring is indicated, subclasses are handled normally. + myt = type("myt", (subtype,), {__rop__: rop_func}) + behaves_like = lambda x: np.array(subtype(x))[()] + + # Check for float32, as a float subclass float64 may behave differently + res = op(myt(1), np.float16(2)) + expected = op(behaves_like(1), np.float16(2)) + assert res == expected + assert type(res) == type(expected) + res = op(np.float32(2), myt(1)) + expected = op(np.float32(2), behaves_like(1)) + assert res == expected + assert type(res) == type(expected) + + # Same check for longdouble (compare via dtype to accept float64 when + # longdouble has the identical size), which is currently not perfectly + # consistent. + res = op(myt(1), np.longdouble(2)) + expected = op(behaves_like(1), np.longdouble(2)) + assert res == expected + assert np.dtype(type(res)) == np.dtype(type(expected)) + res = op(np.float32(2), myt(1)) + expected = op(np.float32(2), behaves_like(1)) + assert res == expected + assert np.dtype(type(res)) == np.dtype(type(expected)) + + +def test_truediv_int(): + # This should work, as the result is float: + assert np.uint8(3) / 123454 == np.float64(3) / 123454 + + +@pytest.mark.slow +@pytest.mark.parametrize("op", + # TODO: Power is a bit special, but here mostly bools seem to behave oddly + [op for op in binary_operators_for_scalars if op is not operator.pow]) +@pytest.mark.parametrize("sctype", types) +@pytest.mark.parametrize("other_type", [float, int, complex]) +@pytest.mark.parametrize("rop", [True, False]) +def test_scalar_matches_array_op_with_pyscalar(op, sctype, other_type, rop): + # Check that the ufunc path matches by coercing to an array explicitly + val1 = sctype(2) + val2 = other_type(2) + + if rop: + _op = op + op = lambda x, y: _op(y, x) + + try: + res = op(val1, val2) + except TypeError: + try: + expected = op(np.asarray(val1), val2) + raise AssertionError("ufunc didn't raise.") + except TypeError: + return + else: + expected = op(np.asarray(val1), val2) + + # Note that we only check dtype equivalency, as ufuncs may pick the lower + # dtype if they are equivalent. + assert res == expected + if isinstance(val1, float) and other_type is complex and rop: + # Python complex accepts float subclasses, so we don't get a chance + # and the result may be a Python complex (thus, the `np.array()``) + assert np.array(res).dtype == expected.dtype + else: + assert res.dtype == expected.dtype diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarprint.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarprint.py new file mode 100644 index 0000000000000000000000000000000000000000..b6872c2b482be32bc5b7528258e4a917a3e311c8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_scalarprint.py @@ -0,0 +1,423 @@ +""" Test printing of scalar types. + +""" +import code +import platform +import pytest +import sys + +from tempfile import TemporaryFile +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_raises_regex, IS_MUSL) + +class TestRealScalars: + def test_str(self): + svals = [0.0, -0.0, 1, -1, np.inf, -np.inf, np.nan] + styps = [np.float16, np.float32, np.float64, np.longdouble] + wanted = [ + ['0.0', '0.0', '0.0', '0.0' ], + ['-0.0', '-0.0', '-0.0', '-0.0'], + ['1.0', '1.0', '1.0', '1.0' ], + ['-1.0', '-1.0', '-1.0', '-1.0'], + ['inf', 'inf', 'inf', 'inf' ], + ['-inf', '-inf', '-inf', '-inf'], + ['nan', 'nan', 'nan', 'nan']] + + for wants, val in zip(wanted, svals): + for want, styp in zip(wants, styps): + msg = 'for str({}({}))'.format(np.dtype(styp).name, repr(val)) + assert_equal(str(styp(val)), want, err_msg=msg) + + def test_scalar_cutoffs(self): + # test that both the str and repr of np.float64 behaves + # like python floats in python3. + def check(v): + assert_equal(str(np.float64(v)), str(v)) + assert_equal(str(np.float64(v)), repr(v)) + assert_equal(repr(np.float64(v)), f"np.float64({v!r})") + assert_equal(repr(np.float64(v)), f"np.float64({v})") + + # check we use the same number of significant digits + check(1.12345678901234567890) + check(0.0112345678901234567890) + + # check switch from scientific output to positional and back + check(1e-5) + check(1e-4) + check(1e15) + check(1e16) + + def test_py2_float_print(self): + # gh-10753 + # In python2, the python float type implements an obsolete method + # tp_print, which overrides tp_repr and tp_str when using "print" to + # output to a "real file" (ie, not a StringIO). Make sure we don't + # inherit it. + x = np.double(0.1999999999999) + with TemporaryFile('r+t') as f: + print(x, file=f) + f.seek(0) + output = f.read() + assert_equal(output, str(x) + '\n') + # In python2 the value float('0.1999999999999') prints with reduced + # precision as '0.2', but we want numpy's np.double('0.1999999999999') + # to print the unique value, '0.1999999999999'. + + # gh-11031 + # Only in the python2 interactive shell and when stdout is a "real" + # file, the output of the last command is printed to stdout without + # Py_PRINT_RAW (unlike the print statement) so `>>> x` and `>>> print + # x` are potentially different. Make sure they are the same. The only + # way I found to get prompt-like output is using an actual prompt from + # the 'code' module. Again, must use tempfile to get a "real" file. + + # dummy user-input which enters one line and then ctrl-Ds. + def userinput(): + yield 'np.sqrt(2)' + raise EOFError + gen = userinput() + input_func = lambda prompt="": next(gen) + + with TemporaryFile('r+t') as fo, TemporaryFile('r+t') as fe: + orig_stdout, orig_stderr = sys.stdout, sys.stderr + sys.stdout, sys.stderr = fo, fe + + code.interact(local={'np': np}, readfunc=input_func, banner='') + + sys.stdout, sys.stderr = orig_stdout, orig_stderr + + fo.seek(0) + capture = fo.read().strip() + + assert_equal(capture, repr(np.sqrt(2))) + + def test_dragon4(self): + # these tests are adapted from Ryan Juckett's dragon4 implementation, + # see dragon4.c for details. + + fpos32 = lambda x, **k: np.format_float_positional(np.float32(x), **k) + fsci32 = lambda x, **k: np.format_float_scientific(np.float32(x), **k) + fpos64 = lambda x, **k: np.format_float_positional(np.float64(x), **k) + fsci64 = lambda x, **k: np.format_float_scientific(np.float64(x), **k) + + preckwd = lambda prec: {'unique': False, 'precision': prec} + + assert_equal(fpos32('1.0'), "1.") + assert_equal(fsci32('1.0'), "1.e+00") + assert_equal(fpos32('10.234'), "10.234") + assert_equal(fpos32('-10.234'), "-10.234") + assert_equal(fsci32('10.234'), "1.0234e+01") + assert_equal(fsci32('-10.234'), "-1.0234e+01") + assert_equal(fpos32('1000.0'), "1000.") + assert_equal(fpos32('1.0', precision=0), "1.") + assert_equal(fsci32('1.0', precision=0), "1.e+00") + assert_equal(fpos32('10.234', precision=0), "10.") + assert_equal(fpos32('-10.234', precision=0), "-10.") + assert_equal(fsci32('10.234', precision=0), "1.e+01") + assert_equal(fsci32('-10.234', precision=0), "-1.e+01") + assert_equal(fpos32('10.234', precision=2), "10.23") + assert_equal(fsci32('-10.234', precision=2), "-1.02e+01") + assert_equal(fsci64('9.9999999999999995e-08', **preckwd(16)), + '9.9999999999999995e-08') + assert_equal(fsci64('9.8813129168249309e-324', **preckwd(16)), + '9.8813129168249309e-324') + assert_equal(fsci64('9.9999999999999694e-311', **preckwd(16)), + '9.9999999999999694e-311') + + + # test rounding + # 3.1415927410 is closest float32 to np.pi + assert_equal(fpos32('3.14159265358979323846', **preckwd(10)), + "3.1415927410") + assert_equal(fsci32('3.14159265358979323846', **preckwd(10)), + "3.1415927410e+00") + assert_equal(fpos64('3.14159265358979323846', **preckwd(10)), + "3.1415926536") + assert_equal(fsci64('3.14159265358979323846', **preckwd(10)), + "3.1415926536e+00") + # 299792448 is closest float32 to 299792458 + assert_equal(fpos32('299792458.0', **preckwd(5)), "299792448.00000") + assert_equal(fsci32('299792458.0', **preckwd(5)), "2.99792e+08") + assert_equal(fpos64('299792458.0', **preckwd(5)), "299792458.00000") + assert_equal(fsci64('299792458.0', **preckwd(5)), "2.99792e+08") + + assert_equal(fpos32('3.14159265358979323846', **preckwd(25)), + "3.1415927410125732421875000") + assert_equal(fpos64('3.14159265358979323846', **preckwd(50)), + "3.14159265358979311599796346854418516159057617187500") + assert_equal(fpos64('3.14159265358979323846'), "3.141592653589793") + + + # smallest numbers + assert_equal(fpos32(0.5**(126 + 23), unique=False, precision=149), + "0.00000000000000000000000000000000000000000000140129846432" + "4817070923729583289916131280261941876515771757068283889791" + "08268586060148663818836212158203125") + + assert_equal(fpos64(5e-324, unique=False, precision=1074), + "0.00000000000000000000000000000000000000000000000000000000" + "0000000000000000000000000000000000000000000000000000000000" + "0000000000000000000000000000000000000000000000000000000000" + "0000000000000000000000000000000000000000000000000000000000" + "0000000000000000000000000000000000000000000000000000000000" + "0000000000000000000000000000000000049406564584124654417656" + "8792868221372365059802614324764425585682500675507270208751" + "8652998363616359923797965646954457177309266567103559397963" + "9877479601078187812630071319031140452784581716784898210368" + "8718636056998730723050006387409153564984387312473397273169" + "6151400317153853980741262385655911710266585566867681870395" + "6031062493194527159149245532930545654440112748012970999954" + "1931989409080416563324524757147869014726780159355238611550" + "1348035264934720193790268107107491703332226844753335720832" + "4319360923828934583680601060115061698097530783422773183292" + "4790498252473077637592724787465608477820373446969953364701" + "7972677717585125660551199131504891101451037862738167250955" + "8373897335989936648099411642057026370902792427675445652290" + "87538682506419718265533447265625") + + # largest numbers + f32x = np.finfo(np.float32).max + assert_equal(fpos32(f32x, **preckwd(0)), + "340282346638528859811704183484516925440.") + assert_equal(fpos64(np.finfo(np.float64).max, **preckwd(0)), + "1797693134862315708145274237317043567980705675258449965989" + "1747680315726078002853876058955863276687817154045895351438" + "2464234321326889464182768467546703537516986049910576551282" + "0762454900903893289440758685084551339423045832369032229481" + "6580855933212334827479782620414472316873817718091929988125" + "0404026184124858368.") + # Warning: In unique mode only the integer digits necessary for + # uniqueness are computed, the rest are 0. + assert_equal(fpos32(f32x), + "340282350000000000000000000000000000000.") + + # Further tests of zero-padding vs rounding in different combinations + # of unique, fractional, precision, min_digits + # precision can only reduce digits, not add them. + # min_digits can only extend digits, not reduce them. + assert_equal(fpos32(f32x, unique=True, fractional=True, precision=0), + "340282350000000000000000000000000000000.") + assert_equal(fpos32(f32x, unique=True, fractional=True, precision=4), + "340282350000000000000000000000000000000.") + assert_equal(fpos32(f32x, unique=True, fractional=True, min_digits=0), + "340282346638528859811704183484516925440.") + assert_equal(fpos32(f32x, unique=True, fractional=True, min_digits=4), + "340282346638528859811704183484516925440.0000") + assert_equal(fpos32(f32x, unique=True, fractional=True, + min_digits=4, precision=4), + "340282346638528859811704183484516925440.0000") + assert_raises(ValueError, fpos32, f32x, unique=True, fractional=False, + precision=0) + assert_equal(fpos32(f32x, unique=True, fractional=False, precision=4), + "340300000000000000000000000000000000000.") + assert_equal(fpos32(f32x, unique=True, fractional=False, precision=20), + "340282350000000000000000000000000000000.") + assert_equal(fpos32(f32x, unique=True, fractional=False, min_digits=4), + "340282350000000000000000000000000000000.") + assert_equal(fpos32(f32x, unique=True, fractional=False, + min_digits=20), + "340282346638528859810000000000000000000.") + assert_equal(fpos32(f32x, unique=True, fractional=False, + min_digits=15), + "340282346638529000000000000000000000000.") + assert_equal(fpos32(f32x, unique=False, fractional=False, precision=4), + "340300000000000000000000000000000000000.") + # test that unique rounding is preserved when precision is supplied + # but no extra digits need to be printed (gh-18609) + a = np.float64.fromhex('-1p-97') + assert_equal(fsci64(a, unique=True), '-6.310887241768095e-30') + assert_equal(fsci64(a, unique=False, precision=15), + '-6.310887241768094e-30') + assert_equal(fsci64(a, unique=True, precision=15), + '-6.310887241768095e-30') + assert_equal(fsci64(a, unique=True, min_digits=15), + '-6.310887241768095e-30') + assert_equal(fsci64(a, unique=True, precision=15, min_digits=15), + '-6.310887241768095e-30') + # adds/remove digits in unique mode with unbiased rnding + assert_equal(fsci64(a, unique=True, precision=14), + '-6.31088724176809e-30') + assert_equal(fsci64(a, unique=True, min_digits=16), + '-6.3108872417680944e-30') + assert_equal(fsci64(a, unique=True, precision=16), + '-6.310887241768095e-30') + assert_equal(fsci64(a, unique=True, min_digits=14), + '-6.310887241768095e-30') + # test min_digits in unique mode with different rounding cases + assert_equal(fsci64('1e120', min_digits=3), '1.000e+120') + assert_equal(fsci64('1e100', min_digits=3), '1.000e+100') + + # test trailing zeros + assert_equal(fpos32('1.0', unique=False, precision=3), "1.000") + assert_equal(fpos64('1.0', unique=False, precision=3), "1.000") + assert_equal(fsci32('1.0', unique=False, precision=3), "1.000e+00") + assert_equal(fsci64('1.0', unique=False, precision=3), "1.000e+00") + assert_equal(fpos32('1.5', unique=False, precision=3), "1.500") + assert_equal(fpos64('1.5', unique=False, precision=3), "1.500") + assert_equal(fsci32('1.5', unique=False, precision=3), "1.500e+00") + assert_equal(fsci64('1.5', unique=False, precision=3), "1.500e+00") + # gh-10713 + assert_equal(fpos64('324', unique=False, precision=5, + fractional=False), "324.00") + + available_float_dtypes = [np.float16, np.float32, np.float64, np.float128]\ + if hasattr(np, 'float128') else [np.float16, np.float32, np.float64] + + @pytest.mark.parametrize("tp", available_float_dtypes) + def test_dragon4_positional_interface(self, tp): + # test is flaky for musllinux on np.float128 + if IS_MUSL and tp == np.float128: + pytest.skip("Skipping flaky test of float128 on musllinux") + + fpos = np.format_float_positional + + # test padding + assert_equal(fpos(tp('1.0'), pad_left=4, pad_right=4), " 1. ") + assert_equal(fpos(tp('-1.0'), pad_left=4, pad_right=4), " -1. ") + assert_equal(fpos(tp('-10.2'), + pad_left=4, pad_right=4), " -10.2 ") + + # test fixed (non-unique) mode + assert_equal(fpos(tp('1.0'), unique=False, precision=4), "1.0000") + + @pytest.mark.parametrize("tp", available_float_dtypes) + def test_dragon4_positional_interface_trim(self, tp): + # test is flaky for musllinux on np.float128 + if IS_MUSL and tp == np.float128: + pytest.skip("Skipping flaky test of float128 on musllinux") + + fpos = np.format_float_positional + # test trimming + # trim of 'k' or '.' only affects non-unique mode, since unique + # mode will not output trailing 0s. + assert_equal(fpos(tp('1.'), unique=False, precision=4, trim='k'), + "1.0000") + + assert_equal(fpos(tp('1.'), unique=False, precision=4, trim='.'), + "1.") + assert_equal(fpos(tp('1.2'), unique=False, precision=4, trim='.'), + "1.2" if tp != np.float16 else "1.2002") + + assert_equal(fpos(tp('1.'), unique=False, precision=4, trim='0'), + "1.0") + assert_equal(fpos(tp('1.2'), unique=False, precision=4, trim='0'), + "1.2" if tp != np.float16 else "1.2002") + assert_equal(fpos(tp('1.'), trim='0'), "1.0") + + assert_equal(fpos(tp('1.'), unique=False, precision=4, trim='-'), + "1") + assert_equal(fpos(tp('1.2'), unique=False, precision=4, trim='-'), + "1.2" if tp != np.float16 else "1.2002") + assert_equal(fpos(tp('1.'), trim='-'), "1") + assert_equal(fpos(tp('1.001'), precision=1, trim='-'), "1") + + @pytest.mark.parametrize("tp", available_float_dtypes) + @pytest.mark.parametrize("pad_val", [10**5, np.iinfo("int32").max]) + def test_dragon4_positional_interface_overflow(self, tp, pad_val): + # test is flaky for musllinux on np.float128 + if IS_MUSL and tp == np.float128: + pytest.skip("Skipping flaky test of float128 on musllinux") + + fpos = np.format_float_positional + + #gh-28068 + with pytest.raises(RuntimeError, + match="Float formating result too large"): + fpos(tp('1.047'), unique=False, precision=pad_val) + + with pytest.raises(RuntimeError, + match="Float formating result too large"): + fpos(tp('1.047'), precision=2, pad_left=pad_val) + + with pytest.raises(RuntimeError, + match="Float formating result too large"): + fpos(tp('1.047'), precision=2, pad_right=pad_val) + + @pytest.mark.parametrize("tp", available_float_dtypes) + def test_dragon4_scientific_interface(self, tp): + # test is flaky for musllinux on np.float128 + if IS_MUSL and tp == np.float128: + pytest.skip("Skipping flaky test of float128 on musllinux") + + fsci = np.format_float_scientific + + # test exp_digits + assert_equal(fsci(tp('1.23e1'), exp_digits=5), "1.23e+00001") + + # test fixed (non-unique) mode + assert_equal(fsci(tp('1.0'), unique=False, precision=4), + "1.0000e+00") + + @pytest.mark.skipif(not platform.machine().startswith("ppc64"), + reason="only applies to ppc float128 values") + def test_ppc64_ibm_double_double128(self): + # check that the precision decreases once we get into the subnormal + # range. Unlike float64, this starts around 1e-292 instead of 1e-308, + # which happens when the first double is normal and the second is + # subnormal. + x = np.float128('2.123123123123123123123123123123123e-286') + got = [str(x/np.float128('2e' + str(i))) for i in range(0,40)] + expected = [ + "1.06156156156156156156156156156157e-286", + "1.06156156156156156156156156156158e-287", + "1.06156156156156156156156156156159e-288", + "1.0615615615615615615615615615616e-289", + "1.06156156156156156156156156156157e-290", + "1.06156156156156156156156156156156e-291", + "1.0615615615615615615615615615616e-292", + "1.0615615615615615615615615615615e-293", + "1.061561561561561561561561561562e-294", + "1.06156156156156156156156156155e-295", + "1.0615615615615615615615615616e-296", + "1.06156156156156156156156156e-297", + "1.06156156156156156156156157e-298", + "1.0615615615615615615615616e-299", + "1.06156156156156156156156e-300", + "1.06156156156156156156155e-301", + "1.0615615615615615615616e-302", + "1.061561561561561561562e-303", + "1.06156156156156156156e-304", + "1.0615615615615615618e-305", + "1.06156156156156156e-306", + "1.06156156156156157e-307", + "1.0615615615615616e-308", + "1.06156156156156e-309", + "1.06156156156157e-310", + "1.0615615615616e-311", + "1.06156156156e-312", + "1.06156156154e-313", + "1.0615615616e-314", + "1.06156156e-315", + "1.06156155e-316", + "1.061562e-317", + "1.06156e-318", + "1.06155e-319", + "1.0617e-320", + "1.06e-321", + "1.04e-322", + "1e-323", + "0.0", + "0.0"] + assert_equal(got, expected) + + # Note: we follow glibc behavior, but it (or gcc) might not be right. + # In particular we can get two values that print the same but are not + # equal: + a = np.float128('2')/np.float128('3') + b = np.float128(str(a)) + assert_equal(str(a), str(b)) + assert_(a != b) + + def float32_roundtrip(self): + # gh-9360 + x = np.float32(1024 - 2**-14) + y = np.float32(1024 - 2**-13) + assert_(repr(x) != repr(y)) + assert_equal(np.float32(repr(x)), x) + assert_equal(np.float32(repr(y)), y) + + def float64_vs_python(self): + # gh-2643, gh-6136, gh-6908 + assert_equal(repr(np.float64(0.1)), repr(0.1)) + assert_(repr(np.float64(0.20000000000000004)) != repr(0.2)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_shape_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_shape_base.py new file mode 100644 index 0000000000000000000000000000000000000000..8ae0125e5b175f684d71579976b9e40dbc7cf523 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_shape_base.py @@ -0,0 +1,860 @@ +import pytest +import numpy as np +from numpy._core import ( + array, arange, atleast_1d, atleast_2d, atleast_3d, block, vstack, hstack, + newaxis, concatenate, stack + ) +from numpy.exceptions import AxisError +from numpy._core.shape_base import (_block_dispatcher, _block_setup, + _block_concatenate, _block_slicing) +from numpy.testing import ( + assert_, assert_raises, assert_array_equal, assert_equal, + assert_raises_regex, assert_warns, IS_PYPY + ) + + +class TestAtleast1d: + def test_0D_array(self): + a = array(1) + b = array(2) + res = [atleast_1d(a), atleast_1d(b)] + desired = [array([1]), array([2])] + assert_array_equal(res, desired) + + def test_1D_array(self): + a = array([1, 2]) + b = array([2, 3]) + res = [atleast_1d(a), atleast_1d(b)] + desired = [array([1, 2]), array([2, 3])] + assert_array_equal(res, desired) + + def test_2D_array(self): + a = array([[1, 2], [1, 2]]) + b = array([[2, 3], [2, 3]]) + res = [atleast_1d(a), atleast_1d(b)] + desired = [a, b] + assert_array_equal(res, desired) + + def test_3D_array(self): + a = array([[1, 2], [1, 2]]) + b = array([[2, 3], [2, 3]]) + a = array([a, a]) + b = array([b, b]) + res = [atleast_1d(a), atleast_1d(b)] + desired = [a, b] + assert_array_equal(res, desired) + + def test_r1array(self): + """ Test to make sure equivalent Travis O's r1array function + """ + assert_(atleast_1d(3).shape == (1,)) + assert_(atleast_1d(3j).shape == (1,)) + assert_(atleast_1d(3.0).shape == (1,)) + assert_(atleast_1d([[2, 3], [4, 5]]).shape == (2, 2)) + + +class TestAtleast2d: + def test_0D_array(self): + a = array(1) + b = array(2) + res = [atleast_2d(a), atleast_2d(b)] + desired = [array([[1]]), array([[2]])] + assert_array_equal(res, desired) + + def test_1D_array(self): + a = array([1, 2]) + b = array([2, 3]) + res = [atleast_2d(a), atleast_2d(b)] + desired = [array([[1, 2]]), array([[2, 3]])] + assert_array_equal(res, desired) + + def test_2D_array(self): + a = array([[1, 2], [1, 2]]) + b = array([[2, 3], [2, 3]]) + res = [atleast_2d(a), atleast_2d(b)] + desired = [a, b] + assert_array_equal(res, desired) + + def test_3D_array(self): + a = array([[1, 2], [1, 2]]) + b = array([[2, 3], [2, 3]]) + a = array([a, a]) + b = array([b, b]) + res = [atleast_2d(a), atleast_2d(b)] + desired = [a, b] + assert_array_equal(res, desired) + + def test_r2array(self): + """ Test to make sure equivalent Travis O's r2array function + """ + assert_(atleast_2d(3).shape == (1, 1)) + assert_(atleast_2d([3j, 1]).shape == (1, 2)) + assert_(atleast_2d([[[3, 1], [4, 5]], [[3, 5], [1, 2]]]).shape == (2, 2, 2)) + + +class TestAtleast3d: + def test_0D_array(self): + a = array(1) + b = array(2) + res = [atleast_3d(a), atleast_3d(b)] + desired = [array([[[1]]]), array([[[2]]])] + assert_array_equal(res, desired) + + def test_1D_array(self): + a = array([1, 2]) + b = array([2, 3]) + res = [atleast_3d(a), atleast_3d(b)] + desired = [array([[[1], [2]]]), array([[[2], [3]]])] + assert_array_equal(res, desired) + + def test_2D_array(self): + a = array([[1, 2], [1, 2]]) + b = array([[2, 3], [2, 3]]) + res = [atleast_3d(a), atleast_3d(b)] + desired = [a[:,:, newaxis], b[:,:, newaxis]] + assert_array_equal(res, desired) + + def test_3D_array(self): + a = array([[1, 2], [1, 2]]) + b = array([[2, 3], [2, 3]]) + a = array([a, a]) + b = array([b, b]) + res = [atleast_3d(a), atleast_3d(b)] + desired = [a, b] + assert_array_equal(res, desired) + + +class TestHstack: + def test_non_iterable(self): + assert_raises(TypeError, hstack, 1) + + def test_empty_input(self): + assert_raises(ValueError, hstack, ()) + + def test_0D_array(self): + a = array(1) + b = array(2) + res = hstack([a, b]) + desired = array([1, 2]) + assert_array_equal(res, desired) + + def test_1D_array(self): + a = array([1]) + b = array([2]) + res = hstack([a, b]) + desired = array([1, 2]) + assert_array_equal(res, desired) + + def test_2D_array(self): + a = array([[1], [2]]) + b = array([[1], [2]]) + res = hstack([a, b]) + desired = array([[1, 1], [2, 2]]) + assert_array_equal(res, desired) + + def test_generator(self): + with pytest.raises(TypeError, match="arrays to stack must be"): + hstack(np.arange(3) for _ in range(2)) + with pytest.raises(TypeError, match="arrays to stack must be"): + hstack((x for x in np.ones((3, 2)))) + + def test_casting_and_dtype(self): + a = np.array([1, 2, 3]) + b = np.array([2.5, 3.5, 4.5]) + res = np.hstack((a, b), casting="unsafe", dtype=np.int64) + expected_res = np.array([1, 2, 3, 2, 3, 4]) + assert_array_equal(res, expected_res) + + def test_casting_and_dtype_type_error(self): + a = np.array([1, 2, 3]) + b = np.array([2.5, 3.5, 4.5]) + with pytest.raises(TypeError): + hstack((a, b), casting="safe", dtype=np.int64) + + +class TestVstack: + def test_non_iterable(self): + assert_raises(TypeError, vstack, 1) + + def test_empty_input(self): + assert_raises(ValueError, vstack, ()) + + def test_0D_array(self): + a = array(1) + b = array(2) + res = vstack([a, b]) + desired = array([[1], [2]]) + assert_array_equal(res, desired) + + def test_1D_array(self): + a = array([1]) + b = array([2]) + res = vstack([a, b]) + desired = array([[1], [2]]) + assert_array_equal(res, desired) + + def test_2D_array(self): + a = array([[1], [2]]) + b = array([[1], [2]]) + res = vstack([a, b]) + desired = array([[1], [2], [1], [2]]) + assert_array_equal(res, desired) + + def test_2D_array2(self): + a = array([1, 2]) + b = array([1, 2]) + res = vstack([a, b]) + desired = array([[1, 2], [1, 2]]) + assert_array_equal(res, desired) + + def test_generator(self): + with pytest.raises(TypeError, match="arrays to stack must be"): + vstack(np.arange(3) for _ in range(2)) + + def test_casting_and_dtype(self): + a = np.array([1, 2, 3]) + b = np.array([2.5, 3.5, 4.5]) + res = np.vstack((a, b), casting="unsafe", dtype=np.int64) + expected_res = np.array([[1, 2, 3], [2, 3, 4]]) + assert_array_equal(res, expected_res) + + def test_casting_and_dtype_type_error(self): + a = np.array([1, 2, 3]) + b = np.array([2.5, 3.5, 4.5]) + with pytest.raises(TypeError): + vstack((a, b), casting="safe", dtype=np.int64) + + + +class TestConcatenate: + def test_returns_copy(self): + a = np.eye(3) + b = np.concatenate([a]) + b[0, 0] = 2 + assert b[0, 0] != a[0, 0] + + def test_exceptions(self): + # test axis must be in bounds + for ndim in [1, 2, 3]: + a = np.ones((1,)*ndim) + np.concatenate((a, a), axis=0) # OK + assert_raises(AxisError, np.concatenate, (a, a), axis=ndim) + assert_raises(AxisError, np.concatenate, (a, a), axis=-(ndim + 1)) + + # Scalars cannot be concatenated + assert_raises(ValueError, concatenate, (0,)) + assert_raises(ValueError, concatenate, (np.array(0),)) + + # dimensionality must match + assert_raises_regex( + ValueError, + r"all the input arrays must have same number of dimensions, but " + r"the array at index 0 has 1 dimension\(s\) and the array at " + r"index 1 has 2 dimension\(s\)", + np.concatenate, (np.zeros(1), np.zeros((1, 1)))) + + # test shapes must match except for concatenation axis + a = np.ones((1, 2, 3)) + b = np.ones((2, 2, 3)) + axis = list(range(3)) + for i in range(3): + np.concatenate((a, b), axis=axis[0]) # OK + assert_raises_regex( + ValueError, + "all the input array dimensions except for the concatenation axis " + "must match exactly, but along dimension {}, the array at " + "index 0 has size 1 and the array at index 1 has size 2" + .format(i), + np.concatenate, (a, b), axis=axis[1]) + assert_raises(ValueError, np.concatenate, (a, b), axis=axis[2]) + a = np.moveaxis(a, -1, 0) + b = np.moveaxis(b, -1, 0) + axis.append(axis.pop(0)) + + # No arrays to concatenate raises ValueError + assert_raises(ValueError, concatenate, ()) + + def test_concatenate_axis_None(self): + a = np.arange(4, dtype=np.float64).reshape((2, 2)) + b = list(range(3)) + c = ['x'] + r = np.concatenate((a, a), axis=None) + assert_equal(r.dtype, a.dtype) + assert_equal(r.ndim, 1) + r = np.concatenate((a, b), axis=None) + assert_equal(r.size, a.size + len(b)) + assert_equal(r.dtype, a.dtype) + r = np.concatenate((a, b, c), axis=None, dtype="U") + d = array(['0.0', '1.0', '2.0', '3.0', + '0', '1', '2', 'x']) + assert_array_equal(r, d) + + out = np.zeros(a.size + len(b)) + r = np.concatenate((a, b), axis=None) + rout = np.concatenate((a, b), axis=None, out=out) + assert_(out is rout) + assert_equal(r, rout) + + def test_large_concatenate_axis_None(self): + # When no axis is given, concatenate uses flattened versions. + # This also had a bug with many arrays (see gh-5979). + x = np.arange(1, 100) + r = np.concatenate(x, None) + assert_array_equal(x, r) + + # Once upon a time, this was the same as `axis=None` now it fails + # (with an unspecified error, as multiple things are wrong here) + with pytest.raises(ValueError): + np.concatenate(x, 100) + + def test_concatenate(self): + # Test concatenate function + # One sequence returns unmodified (but as array) + r4 = list(range(4)) + assert_array_equal(concatenate((r4,)), r4) + # Any sequence + assert_array_equal(concatenate((tuple(r4),)), r4) + assert_array_equal(concatenate((array(r4),)), r4) + # 1D default concatenation + r3 = list(range(3)) + assert_array_equal(concatenate((r4, r3)), r4 + r3) + # Mixed sequence types + assert_array_equal(concatenate((tuple(r4), r3)), r4 + r3) + assert_array_equal(concatenate((array(r4), r3)), r4 + r3) + # Explicit axis specification + assert_array_equal(concatenate((r4, r3), 0), r4 + r3) + # Including negative + assert_array_equal(concatenate((r4, r3), -1), r4 + r3) + # 2D + a23 = array([[10, 11, 12], [13, 14, 15]]) + a13 = array([[0, 1, 2]]) + res = array([[10, 11, 12], [13, 14, 15], [0, 1, 2]]) + assert_array_equal(concatenate((a23, a13)), res) + assert_array_equal(concatenate((a23, a13), 0), res) + assert_array_equal(concatenate((a23.T, a13.T), 1), res.T) + assert_array_equal(concatenate((a23.T, a13.T), -1), res.T) + # Arrays much match shape + assert_raises(ValueError, concatenate, (a23.T, a13.T), 0) + # 3D + res = arange(2 * 3 * 7).reshape((2, 3, 7)) + a0 = res[..., :4] + a1 = res[..., 4:6] + a2 = res[..., 6:] + assert_array_equal(concatenate((a0, a1, a2), 2), res) + assert_array_equal(concatenate((a0, a1, a2), -1), res) + assert_array_equal(concatenate((a0.T, a1.T, a2.T), 0), res.T) + + out = res.copy() + rout = concatenate((a0, a1, a2), 2, out=out) + assert_(out is rout) + assert_equal(res, rout) + + @pytest.mark.skipif(IS_PYPY, reason="PYPY handles sq_concat, nb_add differently than cpython") + def test_operator_concat(self): + import operator + a = array([1, 2]) + b = array([3, 4]) + n = [1,2] + res = array([1, 2, 3, 4]) + assert_raises(TypeError, operator.concat, a, b) + assert_raises(TypeError, operator.concat, a, n) + assert_raises(TypeError, operator.concat, n, a) + assert_raises(TypeError, operator.concat, a, 1) + assert_raises(TypeError, operator.concat, 1, a) + + def test_bad_out_shape(self): + a = array([1, 2]) + b = array([3, 4]) + + assert_raises(ValueError, concatenate, (a, b), out=np.empty(5)) + assert_raises(ValueError, concatenate, (a, b), out=np.empty((4,1))) + assert_raises(ValueError, concatenate, (a, b), out=np.empty((1,4))) + concatenate((a, b), out=np.empty(4)) + + @pytest.mark.parametrize("axis", [None, 0]) + @pytest.mark.parametrize("out_dtype", ["c8", "f4", "f8", ">f8", "i8", "S4"]) + @pytest.mark.parametrize("casting", + ['no', 'equiv', 'safe', 'same_kind', 'unsafe']) + def test_out_and_dtype(self, axis, out_dtype, casting): + # Compare usage of `out=out` with `dtype=out.dtype` + out = np.empty(4, dtype=out_dtype) + to_concat = (array([1.1, 2.2]), array([3.3, 4.4])) + + if not np.can_cast(to_concat[0], out_dtype, casting=casting): + with assert_raises(TypeError): + concatenate(to_concat, out=out, axis=axis, casting=casting) + with assert_raises(TypeError): + concatenate(to_concat, dtype=out.dtype, + axis=axis, casting=casting) + else: + res_out = concatenate(to_concat, out=out, + axis=axis, casting=casting) + res_dtype = concatenate(to_concat, dtype=out.dtype, + axis=axis, casting=casting) + assert res_out is out + assert_array_equal(out, res_dtype) + assert res_dtype.dtype == out_dtype + + with assert_raises(TypeError): + concatenate(to_concat, out=out, dtype=out_dtype, axis=axis) + + @pytest.mark.parametrize("axis", [None, 0]) + @pytest.mark.parametrize("string_dt", ["S", "U", "S0", "U0"]) + @pytest.mark.parametrize("arrs", + [([0.],), ([0.], [1]), ([0], ["string"], [1.])]) + def test_dtype_with_promotion(self, arrs, string_dt, axis): + # Note that U0 and S0 should be deprecated eventually and changed to + # actually give the empty string result (together with `np.array`) + res = np.concatenate(arrs, axis=axis, dtype=string_dt, casting="unsafe") + # The actual dtype should be identical to a cast (of a double array): + assert res.dtype == np.array(1.).astype(string_dt).dtype + + @pytest.mark.parametrize("axis", [None, 0]) + def test_string_dtype_does_not_inspect(self, axis): + with pytest.raises(TypeError): + np.concatenate(([None], [1]), dtype="S", axis=axis) + with pytest.raises(TypeError): + np.concatenate(([None], [1]), dtype="U", axis=axis) + + @pytest.mark.parametrize("axis", [None, 0]) + def test_subarray_error(self, axis): + with pytest.raises(TypeError, match=".*subarray dtype"): + np.concatenate(([1], [1]), dtype="(2,)i", axis=axis) + + +def test_stack(): + # non-iterable input + assert_raises(TypeError, stack, 1) + + # 0d input + for input_ in [(1, 2, 3), + [np.int32(1), np.int32(2), np.int32(3)], + [np.array(1), np.array(2), np.array(3)]]: + assert_array_equal(stack(input_), [1, 2, 3]) + # 1d input examples + a = np.array([1, 2, 3]) + b = np.array([4, 5, 6]) + r1 = array([[1, 2, 3], [4, 5, 6]]) + assert_array_equal(np.stack((a, b)), r1) + assert_array_equal(np.stack((a, b), axis=1), r1.T) + # all input types + assert_array_equal(np.stack([a, b]), r1) + assert_array_equal(np.stack(array([a, b])), r1) + # all shapes for 1d input + arrays = [np.random.randn(3) for _ in range(10)] + axes = [0, 1, -1, -2] + expected_shapes = [(10, 3), (3, 10), (3, 10), (10, 3)] + for axis, expected_shape in zip(axes, expected_shapes): + assert_equal(np.stack(arrays, axis).shape, expected_shape) + assert_raises_regex(AxisError, 'out of bounds', stack, arrays, axis=2) + assert_raises_regex(AxisError, 'out of bounds', stack, arrays, axis=-3) + # all shapes for 2d input + arrays = [np.random.randn(3, 4) for _ in range(10)] + axes = [0, 1, 2, -1, -2, -3] + expected_shapes = [(10, 3, 4), (3, 10, 4), (3, 4, 10), + (3, 4, 10), (3, 10, 4), (10, 3, 4)] + for axis, expected_shape in zip(axes, expected_shapes): + assert_equal(np.stack(arrays, axis).shape, expected_shape) + # empty arrays + assert_(stack([[], [], []]).shape == (3, 0)) + assert_(stack([[], [], []], axis=1).shape == (0, 3)) + # out + out = np.zeros_like(r1) + np.stack((a, b), out=out) + assert_array_equal(out, r1) + # edge cases + assert_raises_regex(ValueError, 'need at least one array', stack, []) + assert_raises_regex(ValueError, 'must have the same shape', + stack, [1, np.arange(3)]) + assert_raises_regex(ValueError, 'must have the same shape', + stack, [np.arange(3), 1]) + assert_raises_regex(ValueError, 'must have the same shape', + stack, [np.arange(3), 1], axis=1) + assert_raises_regex(ValueError, 'must have the same shape', + stack, [np.zeros((3, 3)), np.zeros(3)], axis=1) + assert_raises_regex(ValueError, 'must have the same shape', + stack, [np.arange(2), np.arange(3)]) + + # do not accept generators + with pytest.raises(TypeError, match="arrays to stack must be"): + stack(x for x in range(3)) + + #casting and dtype test + a = np.array([1, 2, 3]) + b = np.array([2.5, 3.5, 4.5]) + res = np.stack((a, b), axis=1, casting="unsafe", dtype=np.int64) + expected_res = np.array([[1, 2], [2, 3], [3, 4]]) + assert_array_equal(res, expected_res) + #casting and dtype with TypeError + with assert_raises(TypeError): + stack((a, b), dtype=np.int64, axis=1, casting="safe") + + +def test_unstack(): + a = np.arange(24).reshape((2, 3, 4)) + + for stacks in [np.unstack(a), + np.unstack(a, axis=0), + np.unstack(a, axis=-3)]: + assert isinstance(stacks, tuple) + assert len(stacks) == 2 + assert_array_equal(stacks[0], a[0]) + assert_array_equal(stacks[1], a[1]) + + for stacks in [np.unstack(a, axis=1), + np.unstack(a, axis=-2)]: + assert isinstance(stacks, tuple) + assert len(stacks) == 3 + assert_array_equal(stacks[0], a[:, 0]) + assert_array_equal(stacks[1], a[:, 1]) + assert_array_equal(stacks[2], a[:, 2]) + + for stacks in [np.unstack(a, axis=2), + np.unstack(a, axis=-1)]: + assert isinstance(stacks, tuple) + assert len(stacks) == 4 + assert_array_equal(stacks[0], a[:, :, 0]) + assert_array_equal(stacks[1], a[:, :, 1]) + assert_array_equal(stacks[2], a[:, :, 2]) + assert_array_equal(stacks[3], a[:, :, 3]) + + assert_raises(ValueError, np.unstack, a, axis=3) + assert_raises(ValueError, np.unstack, a, axis=-4) + assert_raises(ValueError, np.unstack, np.array(0), axis=0) + + +@pytest.mark.parametrize("axis", [0]) +@pytest.mark.parametrize("out_dtype", ["c8", "f4", "f8", ">f8", "i8"]) +@pytest.mark.parametrize("casting", + ['no', 'equiv', 'safe', 'same_kind', 'unsafe']) +def test_stack_out_and_dtype(axis, out_dtype, casting): + to_concat = (array([1, 2]), array([3, 4])) + res = array([[1, 2], [3, 4]]) + out = np.zeros_like(res) + + if not np.can_cast(to_concat[0], out_dtype, casting=casting): + with assert_raises(TypeError): + stack(to_concat, dtype=out_dtype, + axis=axis, casting=casting) + else: + res_out = stack(to_concat, out=out, + axis=axis, casting=casting) + res_dtype = stack(to_concat, dtype=out_dtype, + axis=axis, casting=casting) + assert res_out is out + assert_array_equal(out, res_dtype) + assert res_dtype.dtype == out_dtype + + with assert_raises(TypeError): + stack(to_concat, out=out, dtype=out_dtype, axis=axis) + + +class TestBlock: + @pytest.fixture(params=['block', 'force_concatenate', 'force_slicing']) + def block(self, request): + # blocking small arrays and large arrays go through different paths. + # the algorithm is triggered depending on the number of element + # copies required. + # We define a test fixture that forces most tests to go through + # both code paths. + # Ultimately, this should be removed if a single algorithm is found + # to be faster for both small and large arrays. + def _block_force_concatenate(arrays): + arrays, list_ndim, result_ndim, _ = _block_setup(arrays) + return _block_concatenate(arrays, list_ndim, result_ndim) + + def _block_force_slicing(arrays): + arrays, list_ndim, result_ndim, _ = _block_setup(arrays) + return _block_slicing(arrays, list_ndim, result_ndim) + + if request.param == 'force_concatenate': + return _block_force_concatenate + elif request.param == 'force_slicing': + return _block_force_slicing + elif request.param == 'block': + return block + else: + raise ValueError('Unknown blocking request. There is a typo in the tests.') + + def test_returns_copy(self, block): + a = np.eye(3) + b = block(a) + b[0, 0] = 2 + assert b[0, 0] != a[0, 0] + + def test_block_total_size_estimate(self, block): + _, _, _, total_size = _block_setup([1]) + assert total_size == 1 + + _, _, _, total_size = _block_setup([[1]]) + assert total_size == 1 + + _, _, _, total_size = _block_setup([[1, 1]]) + assert total_size == 2 + + _, _, _, total_size = _block_setup([[1], [1]]) + assert total_size == 2 + + _, _, _, total_size = _block_setup([[1, 2], [3, 4]]) + assert total_size == 4 + + def test_block_simple_row_wise(self, block): + a_2d = np.ones((2, 2)) + b_2d = 2 * a_2d + desired = np.array([[1, 1, 2, 2], + [1, 1, 2, 2]]) + result = block([a_2d, b_2d]) + assert_equal(desired, result) + + def test_block_simple_column_wise(self, block): + a_2d = np.ones((2, 2)) + b_2d = 2 * a_2d + expected = np.array([[1, 1], + [1, 1], + [2, 2], + [2, 2]]) + result = block([[a_2d], [b_2d]]) + assert_equal(expected, result) + + def test_block_with_1d_arrays_row_wise(self, block): + # # # 1-D vectors are treated as row arrays + a = np.array([1, 2, 3]) + b = np.array([2, 3, 4]) + expected = np.array([1, 2, 3, 2, 3, 4]) + result = block([a, b]) + assert_equal(expected, result) + + def test_block_with_1d_arrays_multiple_rows(self, block): + a = np.array([1, 2, 3]) + b = np.array([2, 3, 4]) + expected = np.array([[1, 2, 3, 2, 3, 4], + [1, 2, 3, 2, 3, 4]]) + result = block([[a, b], [a, b]]) + assert_equal(expected, result) + + def test_block_with_1d_arrays_column_wise(self, block): + # # # 1-D vectors are treated as row arrays + a_1d = np.array([1, 2, 3]) + b_1d = np.array([2, 3, 4]) + expected = np.array([[1, 2, 3], + [2, 3, 4]]) + result = block([[a_1d], [b_1d]]) + assert_equal(expected, result) + + def test_block_mixed_1d_and_2d(self, block): + a_2d = np.ones((2, 2)) + b_1d = np.array([2, 2]) + result = block([[a_2d], [b_1d]]) + expected = np.array([[1, 1], + [1, 1], + [2, 2]]) + assert_equal(expected, result) + + def test_block_complicated(self, block): + # a bit more complicated + one_2d = np.array([[1, 1, 1]]) + two_2d = np.array([[2, 2, 2]]) + three_2d = np.array([[3, 3, 3, 3, 3, 3]]) + four_1d = np.array([4, 4, 4, 4, 4, 4]) + five_0d = np.array(5) + six_1d = np.array([6, 6, 6, 6, 6]) + zero_2d = np.zeros((2, 6)) + + expected = np.array([[1, 1, 1, 2, 2, 2], + [3, 3, 3, 3, 3, 3], + [4, 4, 4, 4, 4, 4], + [5, 6, 6, 6, 6, 6], + [0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0]]) + + result = block([[one_2d, two_2d], + [three_2d], + [four_1d], + [five_0d, six_1d], + [zero_2d]]) + assert_equal(result, expected) + + def test_nested(self, block): + one = np.array([1, 1, 1]) + two = np.array([[2, 2, 2], [2, 2, 2], [2, 2, 2]]) + three = np.array([3, 3, 3]) + four = np.array([4, 4, 4]) + five = np.array(5) + six = np.array([6, 6, 6, 6, 6]) + zero = np.zeros((2, 6)) + + result = block([ + [ + block([ + [one], + [three], + [four] + ]), + two + ], + [five, six], + [zero] + ]) + expected = np.array([[1, 1, 1, 2, 2, 2], + [3, 3, 3, 2, 2, 2], + [4, 4, 4, 2, 2, 2], + [5, 6, 6, 6, 6, 6], + [0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0]]) + + assert_equal(result, expected) + + def test_3d(self, block): + a000 = np.ones((2, 2, 2), int) * 1 + + a100 = np.ones((3, 2, 2), int) * 2 + a010 = np.ones((2, 3, 2), int) * 3 + a001 = np.ones((2, 2, 3), int) * 4 + + a011 = np.ones((2, 3, 3), int) * 5 + a101 = np.ones((3, 2, 3), int) * 6 + a110 = np.ones((3, 3, 2), int) * 7 + + a111 = np.ones((3, 3, 3), int) * 8 + + result = block([ + [ + [a000, a001], + [a010, a011], + ], + [ + [a100, a101], + [a110, a111], + ] + ]) + expected = array([[[1, 1, 4, 4, 4], + [1, 1, 4, 4, 4], + [3, 3, 5, 5, 5], + [3, 3, 5, 5, 5], + [3, 3, 5, 5, 5]], + + [[1, 1, 4, 4, 4], + [1, 1, 4, 4, 4], + [3, 3, 5, 5, 5], + [3, 3, 5, 5, 5], + [3, 3, 5, 5, 5]], + + [[2, 2, 6, 6, 6], + [2, 2, 6, 6, 6], + [7, 7, 8, 8, 8], + [7, 7, 8, 8, 8], + [7, 7, 8, 8, 8]], + + [[2, 2, 6, 6, 6], + [2, 2, 6, 6, 6], + [7, 7, 8, 8, 8], + [7, 7, 8, 8, 8], + [7, 7, 8, 8, 8]], + + [[2, 2, 6, 6, 6], + [2, 2, 6, 6, 6], + [7, 7, 8, 8, 8], + [7, 7, 8, 8, 8], + [7, 7, 8, 8, 8]]]) + + assert_array_equal(result, expected) + + def test_block_with_mismatched_shape(self, block): + a = np.array([0, 0]) + b = np.eye(2) + assert_raises(ValueError, block, [a, b]) + assert_raises(ValueError, block, [b, a]) + + to_block = [[np.ones((2,3)), np.ones((2,2))], + [np.ones((2,2)), np.ones((2,2))]] + assert_raises(ValueError, block, to_block) + def test_no_lists(self, block): + assert_equal(block(1), np.array(1)) + assert_equal(block(np.eye(3)), np.eye(3)) + + def test_invalid_nesting(self, block): + msg = 'depths are mismatched' + assert_raises_regex(ValueError, msg, block, [1, [2]]) + assert_raises_regex(ValueError, msg, block, [1, []]) + assert_raises_regex(ValueError, msg, block, [[1], 2]) + assert_raises_regex(ValueError, msg, block, [[], 2]) + assert_raises_regex(ValueError, msg, block, [ + [[1], [2]], + [[3, 4]], + [5] # missing brackets + ]) + + def test_empty_lists(self, block): + assert_raises_regex(ValueError, 'empty', block, []) + assert_raises_regex(ValueError, 'empty', block, [[]]) + assert_raises_regex(ValueError, 'empty', block, [[1], []]) + + def test_tuple(self, block): + assert_raises_regex(TypeError, 'tuple', block, ([1, 2], [3, 4])) + assert_raises_regex(TypeError, 'tuple', block, [(1, 2), (3, 4)]) + + def test_different_ndims(self, block): + a = 1. + b = 2 * np.ones((1, 2)) + c = 3 * np.ones((1, 1, 3)) + + result = block([a, b, c]) + expected = np.array([[[1., 2., 2., 3., 3., 3.]]]) + + assert_equal(result, expected) + + def test_different_ndims_depths(self, block): + a = 1. + b = 2 * np.ones((1, 2)) + c = 3 * np.ones((1, 2, 3)) + + result = block([[a, b], [c]]) + expected = np.array([[[1., 2., 2.], + [3., 3., 3.], + [3., 3., 3.]]]) + + assert_equal(result, expected) + + def test_block_memory_order(self, block): + # 3D + arr_c = np.zeros((3,)*3, order='C') + arr_f = np.zeros((3,)*3, order='F') + + b_c = [[[arr_c, arr_c], + [arr_c, arr_c]], + [[arr_c, arr_c], + [arr_c, arr_c]]] + + b_f = [[[arr_f, arr_f], + [arr_f, arr_f]], + [[arr_f, arr_f], + [arr_f, arr_f]]] + + assert block(b_c).flags['C_CONTIGUOUS'] + assert block(b_f).flags['F_CONTIGUOUS'] + + arr_c = np.zeros((3, 3), order='C') + arr_f = np.zeros((3, 3), order='F') + # 2D + b_c = [[arr_c, arr_c], + [arr_c, arr_c]] + + b_f = [[arr_f, arr_f], + [arr_f, arr_f]] + + assert block(b_c).flags['C_CONTIGUOUS'] + assert block(b_f).flags['F_CONTIGUOUS'] + + +def test_block_dispatcher(): + class ArrayLike: + pass + a = ArrayLike() + b = ArrayLike() + c = ArrayLike() + assert_equal(list(_block_dispatcher(a)), [a]) + assert_equal(list(_block_dispatcher([a])), [a]) + assert_equal(list(_block_dispatcher([a, b])), [a, b]) + assert_equal(list(_block_dispatcher([[a], [b, [c]]])), [a, b, c]) + # don't recurse into non-lists + assert_equal(list(_block_dispatcher((a, b))), [(a, b)]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_simd.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_simd.py new file mode 100644 index 0000000000000000000000000000000000000000..a3127ec9d3c15816c71ea132fd9b07607152b24f --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_simd.py @@ -0,0 +1,1335 @@ +# NOTE: Please avoid the use of numpy.testing since NPYV intrinsics +# may be involved in their functionality. +import itertools +import math +import operator +import re +import pytest +from numpy._core._simd import targets, clear_floatstatus, get_floatstatus +from numpy._core._multiarray_umath import __cpu_baseline__ + +def check_floatstatus(divbyzero=False, overflow=False, + underflow=False, invalid=False, + all=False): + #define NPY_FPE_DIVIDEBYZERO 1 + #define NPY_FPE_OVERFLOW 2 + #define NPY_FPE_UNDERFLOW 4 + #define NPY_FPE_INVALID 8 + err = get_floatstatus() + ret = (all or divbyzero) and (err & 1) != 0 + ret |= (all or overflow) and (err & 2) != 0 + ret |= (all or underflow) and (err & 4) != 0 + ret |= (all or invalid) and (err & 8) != 0 + return ret + +class _Test_Utility: + # submodule of the desired SIMD extension, e.g. targets["AVX512F"] + npyv = None + # the current data type suffix e.g. 's8' + sfx = None + # target name can be 'baseline' or one or more of CPU features + target_name = None + + def __getattr__(self, attr): + """ + To call NPV intrinsics without the attribute 'npyv' and + auto suffixing intrinsics according to class attribute 'sfx' + """ + return getattr(self.npyv, attr + "_" + self.sfx) + + def _x2(self, intrin_name): + return getattr(self.npyv, f"{intrin_name}_{self.sfx}x2") + + def _data(self, start=None, count=None, reverse=False): + """ + Create list of consecutive numbers according to number of vector's lanes. + """ + if start is None: + start = 1 + if count is None: + count = self.nlanes + rng = range(start, start + count) + if reverse: + rng = reversed(rng) + if self._is_fp(): + return [x / 1.0 for x in rng] + return list(rng) + + def _is_unsigned(self): + return self.sfx[0] == 'u' + + def _is_signed(self): + return self.sfx[0] == 's' + + def _is_fp(self): + return self.sfx[0] == 'f' + + def _scalar_size(self): + return int(self.sfx[1:]) + + def _int_clip(self, seq): + if self._is_fp(): + return seq + max_int = self._int_max() + min_int = self._int_min() + return [min(max(v, min_int), max_int) for v in seq] + + def _int_max(self): + if self._is_fp(): + return None + max_u = self._to_unsigned(self.setall(-1))[0] + if self._is_signed(): + return max_u // 2 + return max_u + + def _int_min(self): + if self._is_fp(): + return None + if self._is_unsigned(): + return 0 + return -(self._int_max() + 1) + + def _true_mask(self): + max_unsig = getattr(self.npyv, "setall_u" + self.sfx[1:])(-1) + return max_unsig[0] + + def _to_unsigned(self, vector): + if isinstance(vector, (list, tuple)): + return getattr(self.npyv, "load_u" + self.sfx[1:])(vector) + else: + sfx = vector.__name__.replace("npyv_", "") + if sfx[0] == "b": + cvt_intrin = "cvt_u{0}_b{0}" + else: + cvt_intrin = "reinterpret_u{0}_{1}" + return getattr(self.npyv, cvt_intrin.format(sfx[1:], sfx))(vector) + + def _pinfinity(self): + return float("inf") + + def _ninfinity(self): + return -float("inf") + + def _nan(self): + return float("nan") + + def _cpu_features(self): + target = self.target_name + if target == "baseline": + target = __cpu_baseline__ + else: + target = target.split('__') # multi-target separator + return ' '.join(target) + +class _SIMD_BOOL(_Test_Utility): + """ + To test all boolean vector types at once + """ + def _nlanes(self): + return getattr(self.npyv, "nlanes_u" + self.sfx[1:]) + + def _data(self, start=None, count=None, reverse=False): + true_mask = self._true_mask() + rng = range(self._nlanes()) + if reverse: + rng = reversed(rng) + return [true_mask if x % 2 else 0 for x in rng] + + def _load_b(self, data): + len_str = self.sfx[1:] + load = getattr(self.npyv, "load_u" + len_str) + cvt = getattr(self.npyv, f"cvt_b{len_str}_u{len_str}") + return cvt(load(data)) + + def test_operators_logical(self): + """ + Logical operations for boolean types. + Test intrinsics: + npyv_xor_##SFX, npyv_and_##SFX, npyv_or_##SFX, npyv_not_##SFX, + npyv_andc_b8, npvy_orc_b8, nvpy_xnor_b8 + """ + data_a = self._data() + data_b = self._data(reverse=True) + vdata_a = self._load_b(data_a) + vdata_b = self._load_b(data_b) + + data_and = [a & b for a, b in zip(data_a, data_b)] + vand = getattr(self, "and")(vdata_a, vdata_b) + assert vand == data_and + + data_or = [a | b for a, b in zip(data_a, data_b)] + vor = getattr(self, "or")(vdata_a, vdata_b) + assert vor == data_or + + data_xor = [a ^ b for a, b in zip(data_a, data_b)] + vxor = self.xor(vdata_a, vdata_b) + assert vxor == data_xor + + vnot = getattr(self, "not")(vdata_a) + assert vnot == data_b + + # among the boolean types, andc, orc and xnor only support b8 + if self.sfx not in ("b8"): + return + + data_andc = [(a & ~b) & 0xFF for a, b in zip(data_a, data_b)] + vandc = self.andc(vdata_a, vdata_b) + assert data_andc == vandc + + data_orc = [(a | ~b) & 0xFF for a, b in zip(data_a, data_b)] + vorc = self.orc(vdata_a, vdata_b) + assert data_orc == vorc + + data_xnor = [~(a ^ b) & 0xFF for a, b in zip(data_a, data_b)] + vxnor = self.xnor(vdata_a, vdata_b) + assert data_xnor == vxnor + + def test_tobits(self): + data2bits = lambda data: sum([int(x != 0) << i for i, x in enumerate(data, 0)]) + for data in (self._data(), self._data(reverse=True)): + vdata = self._load_b(data) + data_bits = data2bits(data) + tobits = self.tobits(vdata) + bin_tobits = bin(tobits) + assert bin_tobits == bin(data_bits) + + def test_pack(self): + """ + Pack multiple vectors into one + Test intrinsics: + npyv_pack_b8_b16 + npyv_pack_b8_b32 + npyv_pack_b8_b64 + """ + if self.sfx not in ("b16", "b32", "b64"): + return + # create the vectors + data = self._data() + rdata = self._data(reverse=True) + vdata = self._load_b(data) + vrdata = self._load_b(rdata) + pack_simd = getattr(self.npyv, f"pack_b8_{self.sfx}") + # for scalar execution, concatenate the elements of the multiple lists + # into a single list (spack) and then iterate over the elements of + # the created list applying a mask to capture the first byte of them. + if self.sfx == "b16": + spack = [(i & 0xFF) for i in (list(rdata) + list(data))] + vpack = pack_simd(vrdata, vdata) + elif self.sfx == "b32": + spack = [(i & 0xFF) for i in (2*list(rdata) + 2*list(data))] + vpack = pack_simd(vrdata, vrdata, vdata, vdata) + elif self.sfx == "b64": + spack = [(i & 0xFF) for i in (4*list(rdata) + 4*list(data))] + vpack = pack_simd(vrdata, vrdata, vrdata, vrdata, + vdata, vdata, vdata, vdata) + assert vpack == spack + + @pytest.mark.parametrize("intrin", ["any", "all"]) + @pytest.mark.parametrize("data", ( + [-1, 0], + [0, -1], + [-1], + [0] + )) + def test_operators_crosstest(self, intrin, data): + """ + Test intrinsics: + npyv_any_##SFX + npyv_all_##SFX + """ + data_a = self._load_b(data * self._nlanes()) + func = eval(intrin) + intrin = getattr(self, intrin) + desired = func(data_a) + simd = intrin(data_a) + assert not not simd == desired + +class _SIMD_INT(_Test_Utility): + """ + To test all integer vector types at once + """ + def test_operators_shift(self): + if self.sfx in ("u8", "s8"): + return + + data_a = self._data(self._int_max() - self.nlanes) + data_b = self._data(self._int_min(), reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + for count in range(self._scalar_size()): + # load to cast + data_shl_a = self.load([a << count for a in data_a]) + # left shift + shl = self.shl(vdata_a, count) + assert shl == data_shl_a + # load to cast + data_shr_a = self.load([a >> count for a in data_a]) + # right shift + shr = self.shr(vdata_a, count) + assert shr == data_shr_a + + # shift by zero or max or out-range immediate constant is not applicable and illogical + for count in range(1, self._scalar_size()): + # load to cast + data_shl_a = self.load([a << count for a in data_a]) + # left shift by an immediate constant + shli = self.shli(vdata_a, count) + assert shli == data_shl_a + # load to cast + data_shr_a = self.load([a >> count for a in data_a]) + # right shift by an immediate constant + shri = self.shri(vdata_a, count) + assert shri == data_shr_a + + def test_arithmetic_subadd_saturated(self): + if self.sfx in ("u32", "s32", "u64", "s64"): + return + + data_a = self._data(self._int_max() - self.nlanes) + data_b = self._data(self._int_min(), reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + data_adds = self._int_clip([a + b for a, b in zip(data_a, data_b)]) + adds = self.adds(vdata_a, vdata_b) + assert adds == data_adds + + data_subs = self._int_clip([a - b for a, b in zip(data_a, data_b)]) + subs = self.subs(vdata_a, vdata_b) + assert subs == data_subs + + def test_math_max_min(self): + data_a = self._data() + data_b = self._data(self.nlanes) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + data_max = [max(a, b) for a, b in zip(data_a, data_b)] + simd_max = self.max(vdata_a, vdata_b) + assert simd_max == data_max + + data_min = [min(a, b) for a, b in zip(data_a, data_b)] + simd_min = self.min(vdata_a, vdata_b) + assert simd_min == data_min + + @pytest.mark.parametrize("start", [-100, -10000, 0, 100, 10000]) + def test_reduce_max_min(self, start): + """ + Test intrinsics: + npyv_reduce_max_##sfx + npyv_reduce_min_##sfx + """ + vdata_a = self.load(self._data(start)) + assert self.reduce_max(vdata_a) == max(vdata_a) + assert self.reduce_min(vdata_a) == min(vdata_a) + + +class _SIMD_FP32(_Test_Utility): + """ + To only test single precision + """ + def test_conversions(self): + """ + Round to nearest even integer, assume CPU control register is set to rounding. + Test intrinsics: + npyv_round_s32_##SFX + """ + features = self._cpu_features() + if not self.npyv.simd_f64 and re.match(r".*(NEON|ASIMD)", features): + # very costly to emulate nearest even on Armv7 + # instead we round halves to up. e.g. 0.5 -> 1, -0.5 -> -1 + _round = lambda v: int(v + (0.5 if v >= 0 else -0.5)) + else: + _round = round + vdata_a = self.load(self._data()) + vdata_a = self.sub(vdata_a, self.setall(0.5)) + data_round = [_round(x) for x in vdata_a] + vround = self.round_s32(vdata_a) + assert vround == data_round + +class _SIMD_FP64(_Test_Utility): + """ + To only test double precision + """ + def test_conversions(self): + """ + Round to nearest even integer, assume CPU control register is set to rounding. + Test intrinsics: + npyv_round_s32_##SFX + """ + vdata_a = self.load(self._data()) + vdata_a = self.sub(vdata_a, self.setall(0.5)) + vdata_b = self.mul(vdata_a, self.setall(-1.5)) + data_round = [round(x) for x in list(vdata_a) + list(vdata_b)] + vround = self.round_s32(vdata_a, vdata_b) + assert vround == data_round + +class _SIMD_FP(_Test_Utility): + """ + To test all float vector types at once + """ + def test_arithmetic_fused(self): + vdata_a, vdata_b, vdata_c = [self.load(self._data())]*3 + vdata_cx2 = self.add(vdata_c, vdata_c) + # multiply and add, a*b + c + data_fma = self.load([a * b + c for a, b, c in zip(vdata_a, vdata_b, vdata_c)]) + fma = self.muladd(vdata_a, vdata_b, vdata_c) + assert fma == data_fma + # multiply and subtract, a*b - c + fms = self.mulsub(vdata_a, vdata_b, vdata_c) + data_fms = self.sub(data_fma, vdata_cx2) + assert fms == data_fms + # negate multiply and add, -(a*b) + c + nfma = self.nmuladd(vdata_a, vdata_b, vdata_c) + data_nfma = self.sub(vdata_cx2, data_fma) + assert nfma == data_nfma + # negate multiply and subtract, -(a*b) - c + nfms = self.nmulsub(vdata_a, vdata_b, vdata_c) + data_nfms = self.mul(data_fma, self.setall(-1)) + assert nfms == data_nfms + # multiply, add for odd elements and subtract even elements. + # (a * b) -+ c + fmas = list(self.muladdsub(vdata_a, vdata_b, vdata_c)) + assert fmas[0::2] == list(data_fms)[0::2] + assert fmas[1::2] == list(data_fma)[1::2] + + def test_abs(self): + pinf, ninf, nan = self._pinfinity(), self._ninfinity(), self._nan() + data = self._data() + vdata = self.load(self._data()) + + abs_cases = ((-0, 0), (ninf, pinf), (pinf, pinf), (nan, nan)) + for case, desired in abs_cases: + data_abs = [desired]*self.nlanes + vabs = self.abs(self.setall(case)) + assert vabs == pytest.approx(data_abs, nan_ok=True) + + vabs = self.abs(self.mul(vdata, self.setall(-1))) + assert vabs == data + + def test_sqrt(self): + pinf, ninf, nan = self._pinfinity(), self._ninfinity(), self._nan() + data = self._data() + vdata = self.load(self._data()) + + sqrt_cases = ((-0.0, -0.0), (0.0, 0.0), (-1.0, nan), (ninf, nan), (pinf, pinf)) + for case, desired in sqrt_cases: + data_sqrt = [desired]*self.nlanes + sqrt = self.sqrt(self.setall(case)) + assert sqrt == pytest.approx(data_sqrt, nan_ok=True) + + data_sqrt = self.load([math.sqrt(x) for x in data]) # load to truncate precision + sqrt = self.sqrt(vdata) + assert sqrt == data_sqrt + + def test_square(self): + pinf, ninf, nan = self._pinfinity(), self._ninfinity(), self._nan() + data = self._data() + vdata = self.load(self._data()) + # square + square_cases = ((nan, nan), (pinf, pinf), (ninf, pinf)) + for case, desired in square_cases: + data_square = [desired]*self.nlanes + square = self.square(self.setall(case)) + assert square == pytest.approx(data_square, nan_ok=True) + + data_square = [x*x for x in data] + square = self.square(vdata) + assert square == data_square + + @pytest.mark.parametrize("intrin, func", [("ceil", math.ceil), + ("trunc", math.trunc), ("floor", math.floor), ("rint", round)]) + def test_rounding(self, intrin, func): + """ + Test intrinsics: + npyv_rint_##SFX + npyv_ceil_##SFX + npyv_trunc_##SFX + npyv_floor##SFX + """ + intrin_name = intrin + intrin = getattr(self, intrin) + pinf, ninf, nan = self._pinfinity(), self._ninfinity(), self._nan() + # special cases + round_cases = ((nan, nan), (pinf, pinf), (ninf, ninf)) + for case, desired in round_cases: + data_round = [desired]*self.nlanes + _round = intrin(self.setall(case)) + assert _round == pytest.approx(data_round, nan_ok=True) + + for x in range(0, 2**20, 256**2): + for w in (-1.05, -1.10, -1.15, 1.05, 1.10, 1.15): + data = self.load([(x+a)*w for a in range(self.nlanes)]) + data_round = [func(x) for x in data] + _round = intrin(data) + assert _round == data_round + + # test large numbers + for i in ( + 1.1529215045988576e+18, 4.6116860183954304e+18, + 5.902958103546122e+20, 2.3611832414184488e+21 + ): + x = self.setall(i) + y = intrin(x) + data_round = [func(n) for n in x] + assert y == data_round + + # signed zero + if intrin_name == "floor": + data_szero = (-0.0,) + else: + data_szero = (-0.0, -0.25, -0.30, -0.45, -0.5) + + for w in data_szero: + _round = self._to_unsigned(intrin(self.setall(w))) + data_round = self._to_unsigned(self.setall(-0.0)) + assert _round == data_round + + @pytest.mark.parametrize("intrin", [ + "max", "maxp", "maxn", "min", "minp", "minn" + ]) + def test_max_min(self, intrin): + """ + Test intrinsics: + npyv_max_##sfx + npyv_maxp_##sfx + npyv_maxn_##sfx + npyv_min_##sfx + npyv_minp_##sfx + npyv_minn_##sfx + npyv_reduce_max_##sfx + npyv_reduce_maxp_##sfx + npyv_reduce_maxn_##sfx + npyv_reduce_min_##sfx + npyv_reduce_minp_##sfx + npyv_reduce_minn_##sfx + """ + pinf, ninf, nan = self._pinfinity(), self._ninfinity(), self._nan() + chk_nan = {"xp": 1, "np": 1, "nn": 2, "xn": 2}.get(intrin[-2:], 0) + func = eval(intrin[:3]) + reduce_intrin = getattr(self, "reduce_" + intrin) + intrin = getattr(self, intrin) + hf_nlanes = self.nlanes//2 + + cases = ( + ([0.0, -0.0], [-0.0, 0.0]), + ([10, -10], [10, -10]), + ([pinf, 10], [10, ninf]), + ([10, pinf], [ninf, 10]), + ([10, -10], [10, -10]), + ([-10, 10], [-10, 10]) + ) + for op1, op2 in cases: + vdata_a = self.load(op1*hf_nlanes) + vdata_b = self.load(op2*hf_nlanes) + data = func(vdata_a, vdata_b) + simd = intrin(vdata_a, vdata_b) + assert simd == data + data = func(vdata_a) + simd = reduce_intrin(vdata_a) + assert simd == data + + if not chk_nan: + return + if chk_nan == 1: + test_nan = lambda a, b: ( + b if math.isnan(a) else a if math.isnan(b) else b + ) + else: + test_nan = lambda a, b: ( + nan if math.isnan(a) or math.isnan(b) else b + ) + cases = ( + (nan, 10), + (10, nan), + (nan, pinf), + (pinf, nan), + (nan, nan) + ) + for op1, op2 in cases: + vdata_ab = self.load([op1, op2]*hf_nlanes) + data = test_nan(op1, op2) + simd = reduce_intrin(vdata_ab) + assert simd == pytest.approx(data, nan_ok=True) + vdata_a = self.setall(op1) + vdata_b = self.setall(op2) + data = [data] * self.nlanes + simd = intrin(vdata_a, vdata_b) + assert simd == pytest.approx(data, nan_ok=True) + + def test_reciprocal(self): + pinf, ninf, nan = self._pinfinity(), self._ninfinity(), self._nan() + data = self._data() + vdata = self.load(self._data()) + + recip_cases = ((nan, nan), (pinf, 0.0), (ninf, -0.0), (0.0, pinf), (-0.0, ninf)) + for case, desired in recip_cases: + data_recip = [desired]*self.nlanes + recip = self.recip(self.setall(case)) + assert recip == pytest.approx(data_recip, nan_ok=True) + + data_recip = self.load([1/x for x in data]) # load to truncate precision + recip = self.recip(vdata) + assert recip == data_recip + + def test_special_cases(self): + """ + Compare Not NaN. Test intrinsics: + npyv_notnan_##SFX + """ + nnan = self.notnan(self.setall(self._nan())) + assert nnan == [0]*self.nlanes + + @pytest.mark.parametrize("intrin_name", [ + "rint", "trunc", "ceil", "floor" + ]) + def test_unary_invalid_fpexception(self, intrin_name): + intrin = getattr(self, intrin_name) + for d in [float("nan"), float("inf"), -float("inf")]: + v = self.setall(d) + clear_floatstatus() + intrin(v) + assert check_floatstatus(invalid=True) is False + + @pytest.mark.parametrize('py_comp,np_comp', [ + (operator.lt, "cmplt"), + (operator.le, "cmple"), + (operator.gt, "cmpgt"), + (operator.ge, "cmpge"), + (operator.eq, "cmpeq"), + (operator.ne, "cmpneq") + ]) + def test_comparison_with_nan(self, py_comp, np_comp): + pinf, ninf, nan = self._pinfinity(), self._ninfinity(), self._nan() + mask_true = self._true_mask() + + def to_bool(vector): + return [lane == mask_true for lane in vector] + + intrin = getattr(self, np_comp) + cmp_cases = ((0, nan), (nan, 0), (nan, nan), (pinf, nan), + (ninf, nan), (-0.0, +0.0)) + for case_operand1, case_operand2 in cmp_cases: + data_a = [case_operand1]*self.nlanes + data_b = [case_operand2]*self.nlanes + vdata_a = self.setall(case_operand1) + vdata_b = self.setall(case_operand2) + vcmp = to_bool(intrin(vdata_a, vdata_b)) + data_cmp = [py_comp(a, b) for a, b in zip(data_a, data_b)] + assert vcmp == data_cmp + + @pytest.mark.parametrize("intrin", ["any", "all"]) + @pytest.mark.parametrize("data", ( + [float("nan"), 0], + [0, float("nan")], + [float("nan"), 1], + [1, float("nan")], + [float("nan"), float("nan")], + [0.0, -0.0], + [-0.0, 0.0], + [1.0, -0.0] + )) + def test_operators_crosstest(self, intrin, data): + """ + Test intrinsics: + npyv_any_##SFX + npyv_all_##SFX + """ + data_a = self.load(data * self.nlanes) + func = eval(intrin) + intrin = getattr(self, intrin) + desired = func(data_a) + simd = intrin(data_a) + assert not not simd == desired + +class _SIMD_ALL(_Test_Utility): + """ + To test all vector types at once + """ + def test_memory_load(self): + data = self._data() + # unaligned load + load_data = self.load(data) + assert load_data == data + # aligned load + loada_data = self.loada(data) + assert loada_data == data + # stream load + loads_data = self.loads(data) + assert loads_data == data + # load lower part + loadl = self.loadl(data) + loadl_half = list(loadl)[:self.nlanes//2] + data_half = data[:self.nlanes//2] + assert loadl_half == data_half + assert loadl != data # detect overflow + + def test_memory_store(self): + data = self._data() + vdata = self.load(data) + # unaligned store + store = [0] * self.nlanes + self.store(store, vdata) + assert store == data + # aligned store + store_a = [0] * self.nlanes + self.storea(store_a, vdata) + assert store_a == data + # stream store + store_s = [0] * self.nlanes + self.stores(store_s, vdata) + assert store_s == data + # store lower part + store_l = [0] * self.nlanes + self.storel(store_l, vdata) + assert store_l[:self.nlanes//2] == data[:self.nlanes//2] + assert store_l != vdata # detect overflow + # store higher part + store_h = [0] * self.nlanes + self.storeh(store_h, vdata) + assert store_h[:self.nlanes//2] == data[self.nlanes//2:] + assert store_h != vdata # detect overflow + + @pytest.mark.parametrize("intrin, elsizes, scale, fill", [ + ("self.load_tillz, self.load_till", (32, 64), 1, [0xffff]), + ("self.load2_tillz, self.load2_till", (32, 64), 2, [0xffff, 0x7fff]), + ]) + def test_memory_partial_load(self, intrin, elsizes, scale, fill): + if self._scalar_size() not in elsizes: + return + npyv_load_tillz, npyv_load_till = eval(intrin) + data = self._data() + lanes = list(range(1, self.nlanes + 1)) + lanes += [self.nlanes**2, self.nlanes**4] # test out of range + for n in lanes: + load_till = npyv_load_till(data, n, *fill) + load_tillz = npyv_load_tillz(data, n) + n *= scale + data_till = data[:n] + fill * ((self.nlanes-n) // scale) + assert load_till == data_till + data_tillz = data[:n] + [0] * (self.nlanes-n) + assert load_tillz == data_tillz + + @pytest.mark.parametrize("intrin, elsizes, scale", [ + ("self.store_till", (32, 64), 1), + ("self.store2_till", (32, 64), 2), + ]) + def test_memory_partial_store(self, intrin, elsizes, scale): + if self._scalar_size() not in elsizes: + return + npyv_store_till = eval(intrin) + data = self._data() + data_rev = self._data(reverse=True) + vdata = self.load(data) + lanes = list(range(1, self.nlanes + 1)) + lanes += [self.nlanes**2, self.nlanes**4] + for n in lanes: + data_till = data_rev.copy() + data_till[:n*scale] = data[:n*scale] + store_till = self._data(reverse=True) + npyv_store_till(store_till, n, vdata) + assert store_till == data_till + + @pytest.mark.parametrize("intrin, elsizes, scale", [ + ("self.loadn", (32, 64), 1), + ("self.loadn2", (32, 64), 2), + ]) + def test_memory_noncont_load(self, intrin, elsizes, scale): + if self._scalar_size() not in elsizes: + return + npyv_loadn = eval(intrin) + for stride in range(-64, 64): + if stride < 0: + data = self._data(stride, -stride*self.nlanes) + data_stride = list(itertools.chain( + *zip(*[data[-i::stride] for i in range(scale, 0, -1)]) + )) + elif stride == 0: + data = self._data() + data_stride = data[0:scale] * (self.nlanes//scale) + else: + data = self._data(count=stride*self.nlanes) + data_stride = list(itertools.chain( + *zip(*[data[i::stride] for i in range(scale)])) + ) + data_stride = self.load(data_stride) # cast unsigned + loadn = npyv_loadn(data, stride) + assert loadn == data_stride + + @pytest.mark.parametrize("intrin, elsizes, scale, fill", [ + ("self.loadn_tillz, self.loadn_till", (32, 64), 1, [0xffff]), + ("self.loadn2_tillz, self.loadn2_till", (32, 64), 2, [0xffff, 0x7fff]), + ]) + def test_memory_noncont_partial_load(self, intrin, elsizes, scale, fill): + if self._scalar_size() not in elsizes: + return + npyv_loadn_tillz, npyv_loadn_till = eval(intrin) + lanes = list(range(1, self.nlanes + 1)) + lanes += [self.nlanes**2, self.nlanes**4] + for stride in range(-64, 64): + if stride < 0: + data = self._data(stride, -stride*self.nlanes) + data_stride = list(itertools.chain( + *zip(*[data[-i::stride] for i in range(scale, 0, -1)]) + )) + elif stride == 0: + data = self._data() + data_stride = data[0:scale] * (self.nlanes//scale) + else: + data = self._data(count=stride*self.nlanes) + data_stride = list(itertools.chain( + *zip(*[data[i::stride] for i in range(scale)]) + )) + data_stride = list(self.load(data_stride)) # cast unsigned + for n in lanes: + nscale = n * scale + llanes = self.nlanes - nscale + data_stride_till = ( + data_stride[:nscale] + fill * (llanes//scale) + ) + loadn_till = npyv_loadn_till(data, stride, n, *fill) + assert loadn_till == data_stride_till + data_stride_tillz = data_stride[:nscale] + [0] * llanes + loadn_tillz = npyv_loadn_tillz(data, stride, n) + assert loadn_tillz == data_stride_tillz + + @pytest.mark.parametrize("intrin, elsizes, scale", [ + ("self.storen", (32, 64), 1), + ("self.storen2", (32, 64), 2), + ]) + def test_memory_noncont_store(self, intrin, elsizes, scale): + if self._scalar_size() not in elsizes: + return + npyv_storen = eval(intrin) + data = self._data() + vdata = self.load(data) + hlanes = self.nlanes // scale + for stride in range(1, 64): + data_storen = [0xff] * stride * self.nlanes + for s in range(0, hlanes*stride, stride): + i = (s//stride)*scale + data_storen[s:s+scale] = data[i:i+scale] + storen = [0xff] * stride * self.nlanes + storen += [0x7f]*64 + npyv_storen(storen, stride, vdata) + assert storen[:-64] == data_storen + assert storen[-64:] == [0x7f]*64 # detect overflow + + for stride in range(-64, 0): + data_storen = [0xff] * -stride * self.nlanes + for s in range(0, hlanes*stride, stride): + i = (s//stride)*scale + data_storen[s-scale:s or None] = data[i:i+scale] + storen = [0x7f]*64 + storen += [0xff] * -stride * self.nlanes + npyv_storen(storen, stride, vdata) + assert storen[64:] == data_storen + assert storen[:64] == [0x7f]*64 # detect overflow + # stride 0 + data_storen = [0x7f] * self.nlanes + storen = data_storen.copy() + data_storen[0:scale] = data[-scale:] + npyv_storen(storen, 0, vdata) + assert storen == data_storen + + @pytest.mark.parametrize("intrin, elsizes, scale", [ + ("self.storen_till", (32, 64), 1), + ("self.storen2_till", (32, 64), 2), + ]) + def test_memory_noncont_partial_store(self, intrin, elsizes, scale): + if self._scalar_size() not in elsizes: + return + npyv_storen_till = eval(intrin) + data = self._data() + vdata = self.load(data) + lanes = list(range(1, self.nlanes + 1)) + lanes += [self.nlanes**2, self.nlanes**4] + hlanes = self.nlanes // scale + for stride in range(1, 64): + for n in lanes: + data_till = [0xff] * stride * self.nlanes + tdata = data[:n*scale] + [0xff] * (self.nlanes-n*scale) + for s in range(0, hlanes*stride, stride)[:n]: + i = (s//stride)*scale + data_till[s:s+scale] = tdata[i:i+scale] + storen_till = [0xff] * stride * self.nlanes + storen_till += [0x7f]*64 + npyv_storen_till(storen_till, stride, n, vdata) + assert storen_till[:-64] == data_till + assert storen_till[-64:] == [0x7f]*64 # detect overflow + + for stride in range(-64, 0): + for n in lanes: + data_till = [0xff] * -stride * self.nlanes + tdata = data[:n*scale] + [0xff] * (self.nlanes-n*scale) + for s in range(0, hlanes*stride, stride)[:n]: + i = (s//stride)*scale + data_till[s-scale:s or None] = tdata[i:i+scale] + storen_till = [0x7f]*64 + storen_till += [0xff] * -stride * self.nlanes + npyv_storen_till(storen_till, stride, n, vdata) + assert storen_till[64:] == data_till + assert storen_till[:64] == [0x7f]*64 # detect overflow + + # stride 0 + for n in lanes: + data_till = [0x7f] * self.nlanes + storen_till = data_till.copy() + data_till[0:scale] = data[:n*scale][-scale:] + npyv_storen_till(storen_till, 0, n, vdata) + assert storen_till == data_till + + @pytest.mark.parametrize("intrin, table_size, elsize", [ + ("self.lut32", 32, 32), + ("self.lut16", 16, 64) + ]) + def test_lut(self, intrin, table_size, elsize): + """ + Test lookup table intrinsics: + npyv_lut32_##sfx + npyv_lut16_##sfx + """ + if elsize != self._scalar_size(): + return + intrin = eval(intrin) + idx_itrin = getattr(self.npyv, f"setall_u{elsize}") + table = range(0, table_size) + for i in table: + broadi = self.setall(i) + idx = idx_itrin(i) + lut = intrin(table, idx) + assert lut == broadi + + def test_misc(self): + broadcast_zero = self.zero() + assert broadcast_zero == [0] * self.nlanes + for i in range(1, 10): + broadcasti = self.setall(i) + assert broadcasti == [i] * self.nlanes + + data_a, data_b = self._data(), self._data(reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + # py level of npyv_set_* don't support ignoring the extra specified lanes or + # fill non-specified lanes with zero. + vset = self.set(*data_a) + assert vset == data_a + # py level of npyv_setf_* don't support ignoring the extra specified lanes or + # fill non-specified lanes with the specified scalar. + vsetf = self.setf(10, *data_a) + assert vsetf == data_a + + # We're testing the sanity of _simd's type-vector, + # reinterpret* intrinsics itself are tested via compiler + # during the build of _simd module + sfxes = ["u8", "s8", "u16", "s16", "u32", "s32", "u64", "s64"] + if self.npyv.simd_f64: + sfxes.append("f64") + if self.npyv.simd_f32: + sfxes.append("f32") + for sfx in sfxes: + vec_name = getattr(self, "reinterpret_" + sfx)(vdata_a).__name__ + assert vec_name == "npyv_" + sfx + + # select & mask operations + select_a = self.select(self.cmpeq(self.zero(), self.zero()), vdata_a, vdata_b) + assert select_a == data_a + select_b = self.select(self.cmpneq(self.zero(), self.zero()), vdata_a, vdata_b) + assert select_b == data_b + + # test extract elements + assert self.extract0(vdata_b) == vdata_b[0] + + # cleanup intrinsic is only used with AVX for + # zeroing registers to avoid the AVX-SSE transition penalty, + # so nothing to test here + self.npyv.cleanup() + + def test_reorder(self): + data_a, data_b = self._data(), self._data(reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + # lower half part + data_a_lo = data_a[:self.nlanes//2] + data_b_lo = data_b[:self.nlanes//2] + # higher half part + data_a_hi = data_a[self.nlanes//2:] + data_b_hi = data_b[self.nlanes//2:] + # combine two lower parts + combinel = self.combinel(vdata_a, vdata_b) + assert combinel == data_a_lo + data_b_lo + # combine two higher parts + combineh = self.combineh(vdata_a, vdata_b) + assert combineh == data_a_hi + data_b_hi + # combine x2 + combine = self.combine(vdata_a, vdata_b) + assert combine == (data_a_lo + data_b_lo, data_a_hi + data_b_hi) + + # zip(interleave) + data_zipl = self.load([ + v for p in zip(data_a_lo, data_b_lo) for v in p + ]) + data_ziph = self.load([ + v for p in zip(data_a_hi, data_b_hi) for v in p + ]) + vzip = self.zip(vdata_a, vdata_b) + assert vzip == (data_zipl, data_ziph) + vzip = [0]*self.nlanes*2 + self._x2("store")(vzip, (vdata_a, vdata_b)) + assert vzip == list(data_zipl) + list(data_ziph) + + # unzip(deinterleave) + unzip = self.unzip(data_zipl, data_ziph) + assert unzip == (data_a, data_b) + unzip = self._x2("load")(list(data_zipl) + list(data_ziph)) + assert unzip == (data_a, data_b) + + def test_reorder_rev64(self): + # Reverse elements of each 64-bit lane + ssize = self._scalar_size() + if ssize == 64: + return + data_rev64 = [ + y for x in range(0, self.nlanes, 64//ssize) + for y in reversed(range(x, x + 64//ssize)) + ] + rev64 = self.rev64(self.load(range(self.nlanes))) + assert rev64 == data_rev64 + + def test_reorder_permi128(self): + """ + Test permuting elements for each 128-bit lane. + npyv_permi128_##sfx + """ + ssize = self._scalar_size() + if ssize < 32: + return + data = self.load(self._data()) + permn = 128//ssize + permd = permn-1 + nlane128 = self.nlanes//permn + shfl = [0, 1] if ssize == 64 else [0, 2, 4, 6] + for i in range(permn): + indices = [(i >> shf) & permd for shf in shfl] + vperm = self.permi128(data, *indices) + data_vperm = [ + data[j + (e & -permn)] + for e, j in enumerate(indices*nlane128) + ] + assert vperm == data_vperm + + @pytest.mark.parametrize('func, intrin', [ + (operator.lt, "cmplt"), + (operator.le, "cmple"), + (operator.gt, "cmpgt"), + (operator.ge, "cmpge"), + (operator.eq, "cmpeq") + ]) + def test_operators_comparison(self, func, intrin): + if self._is_fp(): + data_a = self._data() + else: + data_a = self._data(self._int_max() - self.nlanes) + data_b = self._data(self._int_min(), reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + intrin = getattr(self, intrin) + + mask_true = self._true_mask() + def to_bool(vector): + return [lane == mask_true for lane in vector] + + data_cmp = [func(a, b) for a, b in zip(data_a, data_b)] + cmp = to_bool(intrin(vdata_a, vdata_b)) + assert cmp == data_cmp + + def test_operators_logical(self): + if self._is_fp(): + data_a = self._data() + else: + data_a = self._data(self._int_max() - self.nlanes) + data_b = self._data(self._int_min(), reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + if self._is_fp(): + data_cast_a = self._to_unsigned(vdata_a) + data_cast_b = self._to_unsigned(vdata_b) + cast, cast_data = self._to_unsigned, self._to_unsigned + else: + data_cast_a, data_cast_b = data_a, data_b + cast, cast_data = lambda a: a, self.load + + data_xor = cast_data([a ^ b for a, b in zip(data_cast_a, data_cast_b)]) + vxor = cast(self.xor(vdata_a, vdata_b)) + assert vxor == data_xor + + data_or = cast_data([a | b for a, b in zip(data_cast_a, data_cast_b)]) + vor = cast(getattr(self, "or")(vdata_a, vdata_b)) + assert vor == data_or + + data_and = cast_data([a & b for a, b in zip(data_cast_a, data_cast_b)]) + vand = cast(getattr(self, "and")(vdata_a, vdata_b)) + assert vand == data_and + + data_not = cast_data([~a for a in data_cast_a]) + vnot = cast(getattr(self, "not")(vdata_a)) + assert vnot == data_not + + if self.sfx not in ("u8"): + return + data_andc = [a & ~b for a, b in zip(data_cast_a, data_cast_b)] + vandc = cast(self.andc(vdata_a, vdata_b)) + assert vandc == data_andc + + @pytest.mark.parametrize("intrin", ["any", "all"]) + @pytest.mark.parametrize("data", ( + [1, 2, 3, 4], + [-1, -2, -3, -4], + [0, 1, 2, 3, 4], + [0x7f, 0x7fff, 0x7fffffff, 0x7fffffffffffffff], + [0, -1, -2, -3, 4], + [0], + [1], + [-1] + )) + def test_operators_crosstest(self, intrin, data): + """ + Test intrinsics: + npyv_any_##SFX + npyv_all_##SFX + """ + data_a = self.load(data * self.nlanes) + func = eval(intrin) + intrin = getattr(self, intrin) + desired = func(data_a) + simd = intrin(data_a) + assert not not simd == desired + + def test_conversion_boolean(self): + bsfx = "b" + self.sfx[1:] + to_boolean = getattr(self.npyv, "cvt_%s_%s" % (bsfx, self.sfx)) + from_boolean = getattr(self.npyv, "cvt_%s_%s" % (self.sfx, bsfx)) + + false_vb = to_boolean(self.setall(0)) + true_vb = self.cmpeq(self.setall(0), self.setall(0)) + assert false_vb != true_vb + + false_vsfx = from_boolean(false_vb) + true_vsfx = from_boolean(true_vb) + assert false_vsfx != true_vsfx + + def test_conversion_expand(self): + """ + Test expand intrinsics: + npyv_expand_u16_u8 + npyv_expand_u32_u16 + """ + if self.sfx not in ("u8", "u16"): + return + totype = self.sfx[0]+str(int(self.sfx[1:])*2) + expand = getattr(self.npyv, f"expand_{totype}_{self.sfx}") + # close enough from the edge to detect any deviation + data = self._data(self._int_max() - self.nlanes) + vdata = self.load(data) + edata = expand(vdata) + # lower half part + data_lo = data[:self.nlanes//2] + # higher half part + data_hi = data[self.nlanes//2:] + assert edata == (data_lo, data_hi) + + def test_arithmetic_subadd(self): + if self._is_fp(): + data_a = self._data() + else: + data_a = self._data(self._int_max() - self.nlanes) + data_b = self._data(self._int_min(), reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + # non-saturated + data_add = self.load([a + b for a, b in zip(data_a, data_b)]) # load to cast + add = self.add(vdata_a, vdata_b) + assert add == data_add + data_sub = self.load([a - b for a, b in zip(data_a, data_b)]) + sub = self.sub(vdata_a, vdata_b) + assert sub == data_sub + + def test_arithmetic_mul(self): + if self.sfx in ("u64", "s64"): + return + + if self._is_fp(): + data_a = self._data() + else: + data_a = self._data(self._int_max() - self.nlanes) + data_b = self._data(self._int_min(), reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + data_mul = self.load([a * b for a, b in zip(data_a, data_b)]) + mul = self.mul(vdata_a, vdata_b) + assert mul == data_mul + + def test_arithmetic_div(self): + if not self._is_fp(): + return + + data_a, data_b = self._data(), self._data(reverse=True) + vdata_a, vdata_b = self.load(data_a), self.load(data_b) + + # load to truncate f64 to precision of f32 + data_div = self.load([a / b for a, b in zip(data_a, data_b)]) + div = self.div(vdata_a, vdata_b) + assert div == data_div + + def test_arithmetic_intdiv(self): + """ + Test integer division intrinsics: + npyv_divisor_##sfx + npyv_divc_##sfx + """ + if self._is_fp(): + return + + int_min = self._int_min() + def trunc_div(a, d): + """ + Divide towards zero works with large integers > 2^53, + and wrap around overflow similar to what C does. + """ + if d == -1 and a == int_min: + return a + sign_a, sign_d = a < 0, d < 0 + if a == 0 or sign_a == sign_d: + return a // d + return (a + sign_d - sign_a) // d + 1 + + data = [1, -int_min] # to test overflow + data += range(0, 2**8, 2**5) + data += range(0, 2**8, 2**5-1) + bsize = self._scalar_size() + if bsize > 8: + data += range(2**8, 2**16, 2**13) + data += range(2**8, 2**16, 2**13-1) + if bsize > 16: + data += range(2**16, 2**32, 2**29) + data += range(2**16, 2**32, 2**29-1) + if bsize > 32: + data += range(2**32, 2**64, 2**61) + data += range(2**32, 2**64, 2**61-1) + # negate + data += [-x for x in data] + for dividend, divisor in itertools.product(data, data): + divisor = self.setall(divisor)[0] # cast + if divisor == 0: + continue + dividend = self.load(self._data(dividend)) + data_divc = [trunc_div(a, divisor) for a in dividend] + divisor_parms = self.divisor(divisor) + divc = self.divc(dividend, divisor_parms) + assert divc == data_divc + + def test_arithmetic_reduce_sum(self): + """ + Test reduce sum intrinsics: + npyv_sum_##sfx + """ + if self.sfx not in ("u32", "u64", "f32", "f64"): + return + # reduce sum + data = self._data() + vdata = self.load(data) + + data_sum = sum(data) + vsum = self.sum(vdata) + assert vsum == data_sum + + def test_arithmetic_reduce_sumup(self): + """ + Test extend reduce sum intrinsics: + npyv_sumup_##sfx + """ + if self.sfx not in ("u8", "u16"): + return + rdata = (0, self.nlanes, self._int_min(), self._int_max()-self.nlanes) + for r in rdata: + data = self._data(r) + vdata = self.load(data) + data_sum = sum(data) + vsum = self.sumup(vdata) + assert vsum == data_sum + + def test_mask_conditional(self): + """ + Conditional addition and subtraction for all supported data types. + Test intrinsics: + npyv_ifadd_##SFX, npyv_ifsub_##SFX + """ + vdata_a = self.load(self._data()) + vdata_b = self.load(self._data(reverse=True)) + true_mask = self.cmpeq(self.zero(), self.zero()) + false_mask = self.cmpneq(self.zero(), self.zero()) + + data_sub = self.sub(vdata_b, vdata_a) + ifsub = self.ifsub(true_mask, vdata_b, vdata_a, vdata_b) + assert ifsub == data_sub + ifsub = self.ifsub(false_mask, vdata_a, vdata_b, vdata_b) + assert ifsub == vdata_b + + data_add = self.add(vdata_b, vdata_a) + ifadd = self.ifadd(true_mask, vdata_b, vdata_a, vdata_b) + assert ifadd == data_add + ifadd = self.ifadd(false_mask, vdata_a, vdata_b, vdata_b) + assert ifadd == vdata_b + + if not self._is_fp(): + return + data_div = self.div(vdata_b, vdata_a) + ifdiv = self.ifdiv(true_mask, vdata_b, vdata_a, vdata_b) + assert ifdiv == data_div + ifdivz = self.ifdivz(true_mask, vdata_b, vdata_a) + assert ifdivz == data_div + ifdiv = self.ifdiv(false_mask, vdata_a, vdata_b, vdata_b) + assert ifdiv == vdata_b + ifdivz = self.ifdivz(false_mask, vdata_a, vdata_b) + assert ifdivz == self.zero() + +bool_sfx = ("b8", "b16", "b32", "b64") +int_sfx = ("u8", "s8", "u16", "s16", "u32", "s32", "u64", "s64") +fp_sfx = ("f32", "f64") +all_sfx = int_sfx + fp_sfx +tests_registry = { + bool_sfx: _SIMD_BOOL, + int_sfx : _SIMD_INT, + fp_sfx : _SIMD_FP, + ("f32",): _SIMD_FP32, + ("f64",): _SIMD_FP64, + all_sfx : _SIMD_ALL +} +for target_name, npyv in targets.items(): + simd_width = npyv.simd if npyv else '' + pretty_name = target_name.split('__') # multi-target separator + if len(pretty_name) > 1: + # multi-target + pretty_name = f"({' '.join(pretty_name)})" + else: + pretty_name = pretty_name[0] + + skip = "" + skip_sfx = dict() + if not npyv: + skip = f"target '{pretty_name}' isn't supported by current machine" + elif not npyv.simd: + skip = f"target '{pretty_name}' isn't supported by NPYV" + else: + if not npyv.simd_f32: + skip_sfx["f32"] = f"target '{pretty_name}' "\ + "doesn't support single-precision" + if not npyv.simd_f64: + skip_sfx["f64"] = f"target '{pretty_name}' doesn't"\ + "support double-precision" + + for sfxes, cls in tests_registry.items(): + for sfx in sfxes: + skip_m = skip_sfx.get(sfx, skip) + inhr = (cls,) + attr = dict(npyv=targets[target_name], sfx=sfx, target_name=target_name) + tcls = type(f"Test{cls.__name__}_{simd_width}_{target_name}_{sfx}", inhr, attr) + if skip_m: + pytest.mark.skip(reason=skip_m)(tcls) + globals()[tcls.__name__] = tcls diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_simd_module.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_simd_module.py new file mode 100644 index 0000000000000000000000000000000000000000..6bd68c22e1931e885081530913ea685325e94f96 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_simd_module.py @@ -0,0 +1,101 @@ +import pytest +from numpy._core._simd import targets +""" +This testing unit only for checking the sanity of common functionality, +therefore all we need is just to take one submodule that represents any +of enabled SIMD extensions to run the test on it and the second submodule +required to run only one check related to the possibility of mixing +the data types among each submodule. +""" +npyvs = [npyv_mod for npyv_mod in targets.values() if npyv_mod and npyv_mod.simd] +npyv, npyv2 = (npyvs + [None, None])[:2] + +unsigned_sfx = ["u8", "u16", "u32", "u64"] +signed_sfx = ["s8", "s16", "s32", "s64"] +fp_sfx = [] +if npyv and npyv.simd_f32: + fp_sfx.append("f32") +if npyv and npyv.simd_f64: + fp_sfx.append("f64") + +int_sfx = unsigned_sfx + signed_sfx +all_sfx = unsigned_sfx + int_sfx + +@pytest.mark.skipif(not npyv, reason="could not find any SIMD extension with NPYV support") +class Test_SIMD_MODULE: + + @pytest.mark.parametrize('sfx', all_sfx) + def test_num_lanes(self, sfx): + nlanes = getattr(npyv, "nlanes_" + sfx) + vector = getattr(npyv, "setall_" + sfx)(1) + assert len(vector) == nlanes + + @pytest.mark.parametrize('sfx', all_sfx) + def test_type_name(self, sfx): + vector = getattr(npyv, "setall_" + sfx)(1) + assert vector.__name__ == "npyv_" + sfx + + def test_raises(self): + a, b = [npyv.setall_u32(1)]*2 + for sfx in all_sfx: + vcb = lambda intrin: getattr(npyv, f"{intrin}_{sfx}") + pytest.raises(TypeError, vcb("add"), a) + pytest.raises(TypeError, vcb("add"), a, b, a) + pytest.raises(TypeError, vcb("setall")) + pytest.raises(TypeError, vcb("setall"), [1]) + pytest.raises(TypeError, vcb("load"), 1) + pytest.raises(ValueError, vcb("load"), [1]) + pytest.raises(ValueError, vcb("store"), [1], getattr(npyv, f"reinterpret_{sfx}_u32")(a)) + + @pytest.mark.skipif(not npyv2, reason=( + "could not find a second SIMD extension with NPYV support" + )) + def test_nomix(self): + # mix among submodules isn't allowed + a = npyv.setall_u32(1) + a2 = npyv2.setall_u32(1) + pytest.raises(TypeError, npyv.add_u32, a2, a2) + pytest.raises(TypeError, npyv2.add_u32, a, a) + + @pytest.mark.parametrize('sfx', unsigned_sfx) + def test_unsigned_overflow(self, sfx): + nlanes = getattr(npyv, "nlanes_" + sfx) + maxu = (1 << int(sfx[1:])) - 1 + maxu_72 = (1 << 72) - 1 + lane = getattr(npyv, "setall_" + sfx)(maxu_72)[0] + assert lane == maxu + lanes = getattr(npyv, "load_" + sfx)([maxu_72] * nlanes) + assert lanes == [maxu] * nlanes + lane = getattr(npyv, "setall_" + sfx)(-1)[0] + assert lane == maxu + lanes = getattr(npyv, "load_" + sfx)([-1] * nlanes) + assert lanes == [maxu] * nlanes + + @pytest.mark.parametrize('sfx', signed_sfx) + def test_signed_overflow(self, sfx): + nlanes = getattr(npyv, "nlanes_" + sfx) + maxs_72 = (1 << 71) - 1 + lane = getattr(npyv, "setall_" + sfx)(maxs_72)[0] + assert lane == -1 + lanes = getattr(npyv, "load_" + sfx)([maxs_72] * nlanes) + assert lanes == [-1] * nlanes + mins_72 = -1 << 71 + lane = getattr(npyv, "setall_" + sfx)(mins_72)[0] + assert lane == 0 + lanes = getattr(npyv, "load_" + sfx)([mins_72] * nlanes) + assert lanes == [0] * nlanes + + def test_truncate_f32(self): + if not npyv.simd_f32: + pytest.skip("F32 isn't support by the SIMD extension") + f32 = npyv.setall_f32(0.1)[0] + assert f32 != 0.1 + assert round(f32, 1) == 0.1 + + def test_compare(self): + data_range = range(0, npyv.nlanes_u32) + vdata = npyv.load_u32(data_range) + assert vdata == list(data_range) + assert vdata == tuple(data_range) + for i in data_range: + assert vdata[i] == data_range[i] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_stringdtype.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_stringdtype.py new file mode 100644 index 0000000000000000000000000000000000000000..45d8088156c92a3fb873064d9a922e32541d05b6 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_stringdtype.py @@ -0,0 +1,1833 @@ +import concurrent.futures +import copy +import itertools +import os +import string +import pickle +import sys +import tempfile + +import numpy as np +import pytest + +from numpy.dtypes import StringDType +from numpy._core.tests._natype import pd_NA +from numpy.testing import assert_array_equal, IS_WASM, IS_PYPY + + +@pytest.fixture +def string_list(): + return ["abc", "def", "ghi" * 10, "A¢☃€ 😊" * 100, "Abc" * 1000, "DEF"] + + +@pytest.fixture +def random_string_list(): + chars = list(string.ascii_letters + string.digits) + chars = np.array(chars, dtype="U1") + ret = np.random.choice(chars, size=100 * 10, replace=True) + return ret.view("U100") + + +@pytest.fixture(params=[True, False]) +def coerce(request): + return request.param + + +@pytest.fixture( + params=["unset", None, pd_NA, np.nan, float("nan"), "__nan__"], + ids=["unset", "None", "pandas.NA", "np.nan", "float('nan')", "string nan"], +) +def na_object(request): + return request.param + + +def get_dtype(na_object, coerce=True): + # explicit is check for pd_NA because != with pd_NA returns pd_NA + if na_object is pd_NA or na_object != "unset": + return StringDType(na_object=na_object, coerce=coerce) + else: + return StringDType(coerce=coerce) + + +@pytest.fixture() +def dtype(na_object, coerce): + return get_dtype(na_object, coerce) + + +# second copy for cast tests to do a cartesian product over dtypes +@pytest.fixture(params=[True, False]) +def coerce2(request): + return request.param + + +@pytest.fixture( + params=["unset", None, pd_NA, np.nan, float("nan"), "__nan__"], + ids=["unset", "None", "pandas.NA", "np.nan", "float('nan')", "string nan"], +) +def na_object2(request): + return request.param + + +@pytest.fixture() +def dtype2(na_object2, coerce2): + # explicit is check for pd_NA because != with pd_NA returns pd_NA + if na_object2 is pd_NA or na_object2 != "unset": + return StringDType(na_object=na_object2, coerce=coerce2) + else: + return StringDType(coerce=coerce2) + + +def test_dtype_creation(): + hashes = set() + dt = StringDType() + assert not hasattr(dt, "na_object") and dt.coerce is True + hashes.add(hash(dt)) + + dt = StringDType(na_object=None) + assert dt.na_object is None and dt.coerce is True + hashes.add(hash(dt)) + + dt = StringDType(coerce=False) + assert not hasattr(dt, "na_object") and dt.coerce is False + hashes.add(hash(dt)) + + dt = StringDType(na_object=None, coerce=False) + assert dt.na_object is None and dt.coerce is False + hashes.add(hash(dt)) + + assert len(hashes) == 4 + + dt = np.dtype("T") + assert dt == StringDType() + assert dt.kind == "T" + assert dt.char == "T" + + hashes.add(hash(dt)) + assert len(hashes) == 4 + + +def test_dtype_equality(dtype): + assert dtype == dtype + for ch in "SU": + assert dtype != np.dtype(ch) + assert dtype != np.dtype(f"{ch}8") + + +def test_dtype_repr(dtype): + if not hasattr(dtype, "na_object") and dtype.coerce: + assert repr(dtype) == "StringDType()" + elif dtype.coerce: + assert repr(dtype) == f"StringDType(na_object={dtype.na_object!r})" + elif not hasattr(dtype, "na_object"): + assert repr(dtype) == "StringDType(coerce=False)" + else: + assert ( + repr(dtype) + == f"StringDType(na_object={dtype.na_object!r}, coerce=False)" + ) + + +def test_create_with_na(dtype): + if not hasattr(dtype, "na_object"): + pytest.skip("does not have an na object") + na_val = dtype.na_object + string_list = ["hello", na_val, "world"] + arr = np.array(string_list, dtype=dtype) + assert str(arr) == "[" + " ".join([repr(s) for s in string_list]) + "]" + assert arr[1] is dtype.na_object + + +@pytest.mark.parametrize("i", list(range(5))) +def test_set_replace_na(i): + # Test strings of various lengths can be set to NaN and then replaced. + s_empty = "" + s_short = "0123456789" + s_medium = "abcdefghijklmnopqrstuvwxyz" + s_long = "-=+" * 100 + strings = [s_medium, s_empty, s_short, s_medium, s_long] + a = np.array(strings, StringDType(na_object=np.nan)) + for s in [a[i], s_medium+s_short, s_short, s_empty, s_long]: + a[i] = np.nan + assert np.isnan(a[i]) + a[i] = s + assert a[i] == s + assert_array_equal(a, strings[:i] + [s] + strings[i+1:]) + + +def test_null_roundtripping(): + data = ["hello\0world", "ABC\0DEF\0\0"] + arr = np.array(data, dtype="T") + assert data[0] == arr[0] + assert data[1] == arr[1] + + +def test_string_too_large_error(): + arr = np.array(["a", "b", "c"], dtype=StringDType()) + with pytest.raises(MemoryError): + arr * (2**63 - 2) + + +@pytest.mark.parametrize( + "data", + [ + ["abc", "def", "ghi"], + ["🤣", "📵", "😰"], + ["🚜", "🙃", "😾"], + ["😹", "🚠", "🚌"], + ], +) +def test_array_creation_utf8(dtype, data): + arr = np.array(data, dtype=dtype) + assert str(arr) == "[" + " ".join(["'" + str(d) + "'" for d in data]) + "]" + assert arr.dtype == dtype + + +@pytest.mark.parametrize( + "data", + [ + [1, 2, 3], + [b"abc", b"def", b"ghi"], + [object, object, object], + ], +) +def test_scalars_string_conversion(data, dtype): + try: + str_vals = [str(d.decode('utf-8')) for d in data] + except AttributeError: + str_vals = [str(d) for d in data] + if dtype.coerce: + assert_array_equal( + np.array(data, dtype=dtype), + np.array(str_vals, dtype=dtype), + ) + else: + with pytest.raises(ValueError): + np.array(data, dtype=dtype) + + +@pytest.mark.parametrize( + ("strings"), + [ + ["this", "is", "an", "array"], + ["€", "", "😊"], + ["A¢☃€ 😊", " A☃€¢😊", "☃€😊 A¢", "😊☃A¢ €"], + ], +) +def test_self_casts(dtype, dtype2, strings): + if hasattr(dtype, "na_object"): + strings = strings + [dtype.na_object] + elif hasattr(dtype2, "na_object"): + strings = strings + [""] + arr = np.array(strings, dtype=dtype) + newarr = arr.astype(dtype2) + + if hasattr(dtype, "na_object") and not hasattr(dtype2, "na_object"): + assert newarr[-1] == str(dtype.na_object) + with pytest.raises(TypeError): + arr.astype(dtype2, casting="safe") + elif hasattr(dtype, "na_object") and hasattr(dtype2, "na_object"): + assert newarr[-1] is dtype2.na_object + arr.astype(dtype2, casting="safe") + elif hasattr(dtype2, "na_object"): + assert newarr[-1] == "" + arr.astype(dtype2, casting="safe") + else: + arr.astype(dtype2, casting="safe") + + if hasattr(dtype, "na_object") and hasattr(dtype2, "na_object"): + na1 = dtype.na_object + na2 = dtype2.na_object + if (na1 is not na2 and + # check for pd_NA first because bool(pd_NA) is an error + ((na1 is pd_NA or na2 is pd_NA) or + # the second check is a NaN check, spelled this way + # to avoid errors from math.isnan and np.isnan + (na1 != na2 and not (na1 != na1 and na2 != na2)))): + with pytest.raises(TypeError): + arr[:-1] == newarr[:-1] + return + assert_array_equal(arr[:-1], newarr[:-1]) + + +@pytest.mark.parametrize( + ("strings"), + [ + ["this", "is", "an", "array"], + ["€", "", "😊"], + ["A¢☃€ 😊", " A☃€¢😊", "☃€😊 A¢", "😊☃A¢ €"], + ], +) +class TestStringLikeCasts: + def test_unicode_casts(self, dtype, strings): + arr = np.array(strings, dtype=np.str_).astype(dtype) + expected = np.array(strings, dtype=dtype) + assert_array_equal(arr, expected) + + arr_as_U8 = expected.astype("U8") + assert_array_equal(arr_as_U8, np.array(strings, dtype="U8")) + assert_array_equal(arr_as_U8.astype(dtype), arr) + arr_as_U3 = expected.astype("U3") + assert_array_equal(arr_as_U3, np.array(strings, dtype="U3")) + assert_array_equal( + arr_as_U3.astype(dtype), + np.array([s[:3] for s in strings], dtype=dtype), + ) + + def test_void_casts(self, dtype, strings): + sarr = np.array(strings, dtype=dtype) + utf8_bytes = [s.encode("utf-8") for s in strings] + void_dtype = f"V{max([len(s) for s in utf8_bytes])}" + varr = np.array(utf8_bytes, dtype=void_dtype) + assert_array_equal(varr, sarr.astype(void_dtype)) + assert_array_equal(varr.astype(dtype), sarr) + + def test_bytes_casts(self, dtype, strings): + sarr = np.array(strings, dtype=dtype) + try: + utf8_bytes = [s.encode("ascii") for s in strings] + bytes_dtype = f"S{max([len(s) for s in utf8_bytes])}" + barr = np.array(utf8_bytes, dtype=bytes_dtype) + assert_array_equal(barr, sarr.astype(bytes_dtype)) + assert_array_equal(barr.astype(dtype), sarr) + if dtype.coerce: + barr = np.array(utf8_bytes, dtype=dtype) + assert_array_equal(barr, sarr) + barr = np.array(utf8_bytes, dtype="O") + assert_array_equal(barr.astype(dtype), sarr) + else: + with pytest.raises(ValueError): + np.array(utf8_bytes, dtype=dtype) + except UnicodeEncodeError: + with pytest.raises(UnicodeEncodeError): + sarr.astype("S20") + + +def test_additional_unicode_cast(random_string_list, dtype): + arr = np.array(random_string_list, dtype=dtype) + # test that this short-circuits correctly + assert_array_equal(arr, arr.astype(arr.dtype)) + # tests the casts via the comparison promoter + assert_array_equal(arr, arr.astype(random_string_list.dtype)) + + +def test_insert_scalar(dtype, string_list): + """Test that inserting a scalar works.""" + arr = np.array(string_list, dtype=dtype) + scalar_instance = "what" + arr[1] = scalar_instance + assert_array_equal( + arr, + np.array(string_list[:1] + ["what"] + string_list[2:], dtype=dtype), + ) + + +comparison_operators = [ + np.equal, + np.not_equal, + np.greater, + np.greater_equal, + np.less, + np.less_equal, +] + + +@pytest.mark.parametrize("op", comparison_operators) +@pytest.mark.parametrize("o_dtype", [np.str_, object, StringDType()]) +def test_comparisons(string_list, dtype, op, o_dtype): + sarr = np.array(string_list, dtype=dtype) + oarr = np.array(string_list, dtype=o_dtype) + + # test that comparison operators work + res = op(sarr, sarr) + ores = op(oarr, oarr) + # test that promotion works as well + orres = op(sarr, oarr) + olres = op(oarr, sarr) + + assert_array_equal(res, ores) + assert_array_equal(res, orres) + assert_array_equal(res, olres) + + # test we get the correct answer for unequal length strings + sarr2 = np.array([s + "2" for s in string_list], dtype=dtype) + oarr2 = np.array([s + "2" for s in string_list], dtype=o_dtype) + + res = op(sarr, sarr2) + ores = op(oarr, oarr2) + olres = op(oarr, sarr2) + orres = op(sarr, oarr2) + + assert_array_equal(res, ores) + assert_array_equal(res, olres) + assert_array_equal(res, orres) + + res = op(sarr2, sarr) + ores = op(oarr2, oarr) + olres = op(oarr2, sarr) + orres = op(sarr2, oarr) + + assert_array_equal(res, ores) + assert_array_equal(res, olres) + assert_array_equal(res, orres) + + +def test_isnan(dtype, string_list): + if not hasattr(dtype, "na_object"): + pytest.skip("no na support") + sarr = np.array(string_list + [dtype.na_object], dtype=dtype) + is_nan = isinstance(dtype.na_object, float) and np.isnan(dtype.na_object) + bool_errors = 0 + try: + bool(dtype.na_object) + except TypeError: + bool_errors = 1 + if is_nan or bool_errors: + # isnan is only true when na_object is a NaN + assert_array_equal( + np.isnan(sarr), + np.array([0] * len(string_list) + [1], dtype=np.bool), + ) + else: + assert not np.any(np.isnan(sarr)) + + +def test_pickle(dtype, string_list): + arr = np.array(string_list, dtype=dtype) + + with tempfile.NamedTemporaryFile("wb", delete=False) as f: + pickle.dump([arr, dtype], f) + + with open(f.name, "rb") as f: + res = pickle.load(f) + + assert_array_equal(res[0], arr) + assert res[1] == dtype + + os.remove(f.name) + + +def test_stdlib_copy(dtype, string_list): + arr = np.array(string_list, dtype=dtype) + + assert_array_equal(copy.copy(arr), arr) + assert_array_equal(copy.deepcopy(arr), arr) + + +@pytest.mark.parametrize( + "strings", + [ + ["left", "right", "leftovers", "righty", "up", "down"], + [ + "left" * 10, + "right" * 10, + "leftovers" * 10, + "righty" * 10, + "up" * 10, + ], + ["🤣🤣", "🤣", "📵", "😰"], + ["🚜", "🙃", "😾"], + ["😹", "🚠", "🚌"], + ["A¢☃€ 😊", " A☃€¢😊", "☃€😊 A¢", "😊☃A¢ €"], + ], +) +def test_sort(dtype, strings): + """Test that sorting matches python's internal sorting.""" + + def test_sort(strings, arr_sorted): + arr = np.array(strings, dtype=dtype) + na_object = getattr(arr.dtype, "na_object", "") + if na_object is None and None in strings: + with pytest.raises( + ValueError, + match="Cannot compare null that is not a nan-like value", + ): + np.argsort(arr) + argsorted = None + elif na_object is pd_NA or na_object != '': + argsorted = None + else: + argsorted = np.argsort(arr) + np.random.default_rng().shuffle(arr) + if na_object is None and None in strings: + with pytest.raises( + ValueError, + match="Cannot compare null that is not a nan-like value", + ): + arr.sort() + else: + arr.sort() + assert np.array_equal(arr, arr_sorted, equal_nan=True) + if argsorted is not None: + assert np.array_equal(argsorted, np.argsort(strings)) + + + # make a copy so we don't mutate the lists in the fixture + strings = strings.copy() + arr_sorted = np.array(sorted(strings), dtype=dtype) + test_sort(strings, arr_sorted) + + if not hasattr(dtype, "na_object"): + return + + # make sure NAs get sorted to the end of the array and string NAs get + # sorted like normal strings + strings.insert(0, dtype.na_object) + strings.insert(2, dtype.na_object) + # can't use append because doing that with NA converts + # the result to object dtype + if not isinstance(dtype.na_object, str): + arr_sorted = np.array( + arr_sorted.tolist() + [dtype.na_object, dtype.na_object], + dtype=dtype, + ) + else: + arr_sorted = np.array(sorted(strings), dtype=dtype) + + test_sort(strings, arr_sorted) + + +@pytest.mark.parametrize( + "strings", + [ + ["A¢☃€ 😊", " A☃€¢😊", "☃€😊 A¢", "😊☃A¢ €"], + ["A¢☃€ 😊", "", " ", " "], + ["", "a", "😸", "ááðfáíóåéë"], + ], +) +def test_nonzero(strings, na_object): + dtype = get_dtype(na_object) + arr = np.array(strings, dtype=dtype) + is_nonzero = np.array( + [i for i, item in enumerate(strings) if len(item) != 0]) + assert_array_equal(arr.nonzero()[0], is_nonzero) + + if na_object is not pd_NA and na_object == 'unset': + return + + strings_with_na = np.array(strings + [na_object], dtype=dtype) + is_nan = np.isnan(np.array([dtype.na_object], dtype=dtype))[0] + + if is_nan: + assert strings_with_na.nonzero()[0][-1] == 4 + else: + assert strings_with_na.nonzero()[0][-1] == 3 + + # check that the casting to bool and nonzero give consistent results + assert_array_equal(strings_with_na[strings_with_na.nonzero()], + strings_with_na[strings_with_na.astype(bool)]) + + +def test_where(string_list, na_object): + dtype = get_dtype(na_object) + a = np.array(string_list, dtype=dtype) + b = a[::-1] + res = np.where([True, False, True, False, True, False], a, b) + assert_array_equal(res, [a[0], b[1], a[2], b[3], a[4], b[5]]) + + +def test_fancy_indexing(string_list): + sarr = np.array(string_list, dtype="T") + assert_array_equal(sarr, sarr[np.arange(sarr.shape[0])]) + + inds = [ + [True, True], + [0, 1], + ..., + np.array([0, 1], dtype='uint8'), + ] + + lops = [ + ['a'*25, 'b'*25], + ['', ''], + ['hello', 'world'], + ['hello', 'world'*25], + ] + + # see gh-27003 and gh-27053 + for ind in inds: + for lop in lops: + a = np.array(lop, dtype="T") + assert_array_equal(a[ind], a) + rop = ['d'*25, 'e'*25] + for b in [rop, np.array(rop, dtype="T")]: + a[ind] = b + assert_array_equal(a, b) + assert a[0] == 'd'*25 + + +def test_creation_functions(): + assert_array_equal(np.zeros(3, dtype="T"), ["", "", ""]) + assert_array_equal(np.empty(3, dtype="T"), ["", "", ""]) + + assert np.zeros(3, dtype="T")[0] == "" + assert np.empty(3, dtype="T")[0] == "" + + +def test_concatenate(string_list): + sarr = np.array(string_list, dtype="T") + sarr_cat = np.array(string_list + string_list, dtype="T") + + assert_array_equal(np.concatenate([sarr], axis=0), sarr) + + +def test_resize_method(string_list): + sarr = np.array(string_list, dtype="T") + if IS_PYPY: + sarr.resize(len(string_list)+3, refcheck=False) + else: + sarr.resize(len(string_list)+3) + assert_array_equal(sarr, np.array(string_list + ['']*3, dtype="T")) + + +def test_create_with_copy_none(string_list): + arr = np.array(string_list, dtype=StringDType()) + # create another stringdtype array with an arena that has a different + # in-memory layout than the first array + arr_rev = np.array(string_list[::-1], dtype=StringDType()) + + # this should create a copy and the resulting array + # shouldn't share an allocator or arena with arr_rev, despite + # explicitly passing arr_rev.dtype + arr_copy = np.array(arr, copy=None, dtype=arr_rev.dtype) + np.testing.assert_array_equal(arr, arr_copy) + assert arr_copy.base is None + + with pytest.raises(ValueError, match="Unable to avoid copy"): + np.array(arr, copy=False, dtype=arr_rev.dtype) + + # because we're using arr's dtype instance, the view is safe + arr_view = np.array(arr, copy=None, dtype=arr.dtype) + np.testing.assert_array_equal(arr, arr) + np.testing.assert_array_equal(arr_view[::-1], arr_rev) + assert arr_view is arr + + +def test_astype_copy_false(): + orig_dt = StringDType() + arr = np.array(["hello", "world"], dtype=StringDType()) + assert not arr.astype(StringDType(coerce=False), copy=False).dtype.coerce + + assert arr.astype(orig_dt, copy=False).dtype is orig_dt + +@pytest.mark.parametrize( + "strings", + [ + ["left", "right", "leftovers", "righty", "up", "down"], + ["🤣🤣", "🤣", "📵", "😰"], + ["🚜", "🙃", "😾"], + ["😹", "🚠", "🚌"], + ["A¢☃€ 😊", " A☃€¢😊", "☃€😊 A¢", "😊☃A¢ €"], + ], +) +def test_argmax(strings): + """Test that argmax/argmin matches what python calculates.""" + arr = np.array(strings, dtype="T") + assert np.argmax(arr) == strings.index(max(strings)) + assert np.argmin(arr) == strings.index(min(strings)) + + +@pytest.mark.parametrize( + "arrfunc,expected", + [ + [np.sort, None], + [np.nonzero, (np.array([], dtype=np.int_),)], + [np.argmax, 0], + [np.argmin, 0], + ], +) +def test_arrfuncs_zeros(arrfunc, expected): + arr = np.zeros(10, dtype="T") + result = arrfunc(arr) + if expected is None: + expected = arr + assert_array_equal(result, expected, strict=True) + + +@pytest.mark.parametrize( + ("strings", "cast_answer", "any_answer", "all_answer"), + [ + [["hello", "world"], [True, True], True, True], + [["", ""], [False, False], False, False], + [["hello", ""], [True, False], True, False], + [["", "world"], [False, True], True, False], + ], +) +def test_cast_to_bool(strings, cast_answer, any_answer, all_answer): + sarr = np.array(strings, dtype="T") + assert_array_equal(sarr.astype("bool"), cast_answer) + + assert np.any(sarr) == any_answer + assert np.all(sarr) == all_answer + + +@pytest.mark.parametrize( + ("strings", "cast_answer"), + [ + [[True, True], ["True", "True"]], + [[False, False], ["False", "False"]], + [[True, False], ["True", "False"]], + [[False, True], ["False", "True"]], + ], +) +def test_cast_from_bool(strings, cast_answer): + barr = np.array(strings, dtype=bool) + assert_array_equal(barr.astype("T"), np.array(cast_answer, dtype="T")) + + +@pytest.mark.parametrize("bitsize", [8, 16, 32, 64]) +@pytest.mark.parametrize("signed", [True, False]) +def test_sized_integer_casts(bitsize, signed): + idtype = f"int{bitsize}" + if signed: + inp = [-(2**p - 1) for p in reversed(range(bitsize - 1))] + inp += [2**p - 1 for p in range(1, bitsize - 1)] + else: + idtype = "u" + idtype + inp = [2**p - 1 for p in range(bitsize)] + ainp = np.array(inp, dtype=idtype) + assert_array_equal(ainp, ainp.astype("T").astype(idtype)) + + # safe casting works + ainp.astype("T", casting="safe") + + with pytest.raises(TypeError): + ainp.astype("T").astype(idtype, casting="safe") + + oob = [str(2**bitsize), str(-(2**bitsize))] + with pytest.raises(OverflowError): + np.array(oob, dtype="T").astype(idtype) + + with pytest.raises(ValueError): + np.array(["1", np.nan, "3"], + dtype=StringDType(na_object=np.nan)).astype(idtype) + + +@pytest.mark.parametrize("typename", ["byte", "short", "int", "longlong"]) +@pytest.mark.parametrize("signed", ["", "u"]) +def test_unsized_integer_casts(typename, signed): + idtype = f"{signed}{typename}" + + inp = [1, 2, 3, 4] + ainp = np.array(inp, dtype=idtype) + assert_array_equal(ainp, ainp.astype("T").astype(idtype)) + + +@pytest.mark.parametrize( + "typename", + [ + pytest.param( + "longdouble", + marks=pytest.mark.xfail( + np.dtypes.LongDoubleDType() != np.dtypes.Float64DType(), + reason="numpy lacks an ld2a implementation", + strict=True, + ), + ), + "float64", + "float32", + "float16", + ], +) +def test_float_casts(typename): + inp = [1.1, 2.8, -3.2, 2.7e4] + ainp = np.array(inp, dtype=typename) + assert_array_equal(ainp, ainp.astype("T").astype(typename)) + + inp = [0.1] + sres = np.array(inp, dtype=typename).astype("T") + res = sres.astype(typename) + assert_array_equal(np.array(inp, dtype=typename), res) + assert sres[0] == "0.1" + + if typename == "longdouble": + # let's not worry about platform-dependent rounding of longdouble + return + + fi = np.finfo(typename) + + inp = [1e-324, fi.smallest_subnormal, -1e-324, -fi.smallest_subnormal] + eres = [0, fi.smallest_subnormal, -0, -fi.smallest_subnormal] + res = np.array(inp, dtype=typename).astype("T").astype(typename) + assert_array_equal(eres, res) + + inp = [2e308, fi.max, -2e308, fi.min] + eres = [np.inf, fi.max, -np.inf, fi.min] + res = np.array(inp, dtype=typename).astype("T").astype(typename) + assert_array_equal(eres, res) + + +@pytest.mark.parametrize( + "typename", + [ + "csingle", + "cdouble", + pytest.param( + "clongdouble", + marks=pytest.mark.xfail( + np.dtypes.CLongDoubleDType() != np.dtypes.Complex128DType(), + reason="numpy lacks an ld2a implementation", + strict=True, + ), + ), + ], +) +def test_cfloat_casts(typename): + inp = [1.1 + 1.1j, 2.8 + 2.8j, -3.2 - 3.2j, 2.7e4 + 2.7e4j] + ainp = np.array(inp, dtype=typename) + assert_array_equal(ainp, ainp.astype("T").astype(typename)) + + inp = [0.1 + 0.1j] + sres = np.array(inp, dtype=typename).astype("T") + res = sres.astype(typename) + assert_array_equal(np.array(inp, dtype=typename), res) + assert sres[0] == "(0.1+0.1j)" + + +def test_take(string_list): + sarr = np.array(string_list, dtype="T") + res = sarr.take(np.arange(len(string_list))) + assert_array_equal(sarr, res) + + # make sure it also works for out + out = np.empty(len(string_list), dtype="T") + out[0] = "hello" + res = sarr.take(np.arange(len(string_list)), out=out) + assert res is out + assert_array_equal(sarr, res) + + +@pytest.mark.parametrize("use_out", [True, False]) +@pytest.mark.parametrize( + "ufunc_name,func", + [ + ("min", min), + ("max", max), + ], +) +def test_ufuncs_minmax(string_list, ufunc_name, func, use_out): + """Test that the min/max ufuncs match Python builtin min/max behavior.""" + arr = np.array(string_list, dtype="T") + uarr = np.array(string_list, dtype=str) + res = np.array(func(string_list), dtype="T") + assert_array_equal(getattr(arr, ufunc_name)(), res) + + ufunc = getattr(np, ufunc_name + "imum") + + if use_out: + res = ufunc(arr, arr, out=arr) + else: + res = ufunc(arr, arr) + + assert_array_equal(uarr, res) + assert_array_equal(getattr(arr, ufunc_name)(), func(string_list)) + + +def test_max_regression(): + arr = np.array(['y', 'y', 'z'], dtype="T") + assert arr.max() == 'z' + + +@pytest.mark.parametrize("use_out", [True, False]) +@pytest.mark.parametrize( + "other_strings", + [ + ["abc", "def" * 500, "ghi" * 16, "🤣" * 100, "📵", "😰"], + ["🚜", "🙃", "😾", "😹", "🚠", "🚌"], + ["🥦", "¨", "⨯", "∰ ", "⨌ ", "⎶ "], + ], +) +def test_ufunc_add(dtype, string_list, other_strings, use_out): + arr1 = np.array(string_list, dtype=dtype) + arr2 = np.array(other_strings, dtype=dtype) + result = np.array([a + b for a, b in zip(arr1, arr2)], dtype=dtype) + + if use_out: + res = np.add(arr1, arr2, out=arr1) + else: + res = np.add(arr1, arr2) + + assert_array_equal(res, result) + + if not hasattr(dtype, "na_object"): + return + + is_nan = isinstance(dtype.na_object, float) and np.isnan(dtype.na_object) + is_str = isinstance(dtype.na_object, str) + bool_errors = 0 + try: + bool(dtype.na_object) + except TypeError: + bool_errors = 1 + + arr1 = np.array([dtype.na_object] + string_list, dtype=dtype) + arr2 = np.array(other_strings + [dtype.na_object], dtype=dtype) + + if is_nan or bool_errors or is_str: + res = np.add(arr1, arr2) + assert_array_equal(res[1:-1], arr1[1:-1] + arr2[1:-1]) + if not is_str: + assert res[0] is dtype.na_object and res[-1] is dtype.na_object + else: + assert res[0] == dtype.na_object + arr2[0] + assert res[-1] == arr1[-1] + dtype.na_object + else: + with pytest.raises(ValueError): + np.add(arr1, arr2) + + +def test_ufunc_add_reduce(dtype): + values = ["a", "this is a long string", "c"] + arr = np.array(values, dtype=dtype) + out = np.empty((), dtype=dtype) + + expected = np.array("".join(values), dtype=dtype) + assert_array_equal(np.add.reduce(arr), expected) + + np.add.reduce(arr, out=out) + assert_array_equal(out, expected) + + +def test_add_promoter(string_list): + arr = np.array(string_list, dtype=StringDType()) + lresult = np.array(["hello" + s for s in string_list], dtype=StringDType()) + rresult = np.array([s + "hello" for s in string_list], dtype=StringDType()) + + for op in ["hello", np.str_("hello"), np.array(["hello"])]: + assert_array_equal(op + arr, lresult) + assert_array_equal(arr + op, rresult) + + # The promoter should be able to handle things if users pass `dtype=` + res = np.add("hello", string_list, dtype=StringDType) + assert res.dtype == StringDType() + + # The promoter should not kick in if users override the input, + # which means arr is cast, this fails because of the unknown length. + with pytest.raises(TypeError, match="cannot cast dtype"): + np.add(arr, "add", signature=("U", "U", None), casting="unsafe") + + # But it must simply reject the following: + with pytest.raises(TypeError, match=".*did not contain a loop"): + np.add(arr, "add", signature=(None, "U", None)) + + with pytest.raises(TypeError, match=".*did not contain a loop"): + np.add("a", "b", signature=("U", "U", StringDType)) + + +def test_add_no_legacy_promote_with_signature(): + # Possibly misplaced, but useful to test with string DType. We check that + # if there is clearly no loop found, a stray `dtype=` doesn't break things + # Regression test for the bad error in gh-26735 + # (If legacy promotion is gone, this can be deleted...) + with pytest.raises(TypeError, match=".*did not contain a loop"): + np.add("3", 6, dtype=StringDType) + + +def test_add_promoter_reduce(): + # Exact TypeError could change, but ensure StringDtype doesn't match + with pytest.raises(TypeError, match="the resolved dtypes are not"): + np.add.reduce(np.array(["a", "b"], dtype="U")) + + # On the other hand, using `dtype=T` in the *ufunc* should work. + np.add.reduce(np.array(["a", "b"], dtype="U"), dtype=np.dtypes.StringDType) + + +def test_multiply_reduce(): + # At the time of writing (NumPy 2.0) this is very limited (and rather + # ridiculous anyway). But it works and actually makes some sense... + # (NumPy does not allow non-scalar initial values) + repeats = np.array([2, 3, 4]) + val = "school-🚌" + res = np.multiply.reduce(repeats, initial=val, dtype=np.dtypes.StringDType) + assert res == val * np.prod(repeats) + + +def test_multiply_two_string_raises(): + arr = np.array(["hello", "world"], dtype="T") + with pytest.raises(np._core._exceptions._UFuncNoLoopError): + np.multiply(arr, arr) + + +@pytest.mark.parametrize("use_out", [True, False]) +@pytest.mark.parametrize("other", [2, [2, 1, 3, 4, 1, 3]]) +@pytest.mark.parametrize( + "other_dtype", + [ + None, + "int8", + "int16", + "int32", + "int64", + "uint8", + "uint16", + "uint32", + "uint64", + "short", + "int", + "intp", + "long", + "longlong", + "ushort", + "uint", + "uintp", + "ulong", + "ulonglong", + ], +) +def test_ufunc_multiply(dtype, string_list, other, other_dtype, use_out): + """Test the two-argument ufuncs match python builtin behavior.""" + arr = np.array(string_list, dtype=dtype) + if other_dtype is not None: + other_dtype = np.dtype(other_dtype) + try: + len(other) + result = [s * o for s, o in zip(string_list, other)] + other = np.array(other) + if other_dtype is not None: + other = other.astype(other_dtype) + except TypeError: + if other_dtype is not None: + other = other_dtype.type(other) + result = [s * other for s in string_list] + + if use_out: + arr_cache = arr.copy() + lres = np.multiply(arr, other, out=arr) + assert_array_equal(lres, result) + arr[:] = arr_cache + assert lres is arr + arr *= other + assert_array_equal(arr, result) + arr[:] = arr_cache + rres = np.multiply(other, arr, out=arr) + assert rres is arr + assert_array_equal(rres, result) + else: + lres = arr * other + assert_array_equal(lres, result) + rres = other * arr + assert_array_equal(rres, result) + + if not hasattr(dtype, "na_object"): + return + + is_nan = np.isnan(np.array([dtype.na_object], dtype=dtype))[0] + is_str = isinstance(dtype.na_object, str) + bool_errors = 0 + try: + bool(dtype.na_object) + except TypeError: + bool_errors = 1 + + arr = np.array(string_list + [dtype.na_object], dtype=dtype) + + try: + len(other) + other = np.append(other, 3) + if other_dtype is not None: + other = other.astype(other_dtype) + except TypeError: + pass + + if is_nan or bool_errors or is_str: + for res in [arr * other, other * arr]: + assert_array_equal(res[:-1], result) + if not is_str: + assert res[-1] is dtype.na_object + else: + try: + assert res[-1] == dtype.na_object * other[-1] + except (IndexError, TypeError): + assert res[-1] == dtype.na_object * other + else: + with pytest.raises(TypeError): + arr * other + with pytest.raises(TypeError): + other * arr + + +def test_findlike_promoters(): + r = "Wally" + l = "Where's Wally?" + s = np.int32(3) + e = np.int8(13) + for dtypes in [("T", "U"), ("U", "T")]: + for function, answer in [ + (np.strings.index, 8), + (np.strings.endswith, True), + ]: + assert answer == function( + np.array(l, dtype=dtypes[0]), np.array(r, dtype=dtypes[1]), s, e + ) + + +def test_strip_promoter(): + arg = ["Hello!!!!", "Hello??!!"] + strip_char = "!" + answer = ["Hello", "Hello??"] + for dtypes in [("T", "U"), ("U", "T")]: + result = np.strings.strip( + np.array(arg, dtype=dtypes[0]), + np.array(strip_char, dtype=dtypes[1]) + ) + assert_array_equal(result, answer) + assert result.dtype.char == "T" + + +def test_replace_promoter(): + arg = ["Hello, planet!", "planet, Hello!"] + old = "planet" + new = "world" + answer = ["Hello, world!", "world, Hello!"] + for dtypes in itertools.product("TU", repeat=3): + if dtypes == ("U", "U", "U"): + continue + answer_arr = np.strings.replace( + np.array(arg, dtype=dtypes[0]), + np.array(old, dtype=dtypes[1]), + np.array(new, dtype=dtypes[2]), + ) + assert_array_equal(answer_arr, answer) + assert answer_arr.dtype.char == "T" + + +def test_center_promoter(): + arg = ["Hello", "planet!"] + fillchar = "/" + for dtypes in [("T", "U"), ("U", "T")]: + answer = np.strings.center( + np.array(arg, dtype=dtypes[0]), 9, np.array(fillchar, dtype=dtypes[1]) + ) + assert_array_equal(answer, ["//Hello//", "/planet!/"]) + assert answer.dtype.char == "T" + + +DATETIME_INPUT = [ + np.datetime64("1923-04-14T12:43:12"), + np.datetime64("1994-06-21T14:43:15"), + np.datetime64("2001-10-15T04:10:32"), + np.datetime64("NaT"), + np.datetime64("1995-11-25T16:02:16"), + np.datetime64("2005-01-04T03:14:12"), + np.datetime64("2041-12-03T14:05:03"), +] + + +TIMEDELTA_INPUT = [ + np.timedelta64(12358, "s"), + np.timedelta64(23, "s"), + np.timedelta64(74, "s"), + np.timedelta64("NaT"), + np.timedelta64(23, "s"), + np.timedelta64(73, "s"), + np.timedelta64(7, "s"), +] + + +@pytest.mark.parametrize( + "input_data, input_dtype", + [ + (DATETIME_INPUT, "M8[s]"), + (TIMEDELTA_INPUT, "m8[s]") + ] +) +def test_datetime_timedelta_cast(dtype, input_data, input_dtype): + + a = np.array(input_data, dtype=input_dtype) + + has_na = hasattr(dtype, "na_object") + is_str = isinstance(getattr(dtype, "na_object", None), str) + + if not has_na or is_str: + a = np.delete(a, 3) + + sa = a.astype(dtype) + ra = sa.astype(a.dtype) + + if has_na and not is_str: + assert sa[3] is dtype.na_object + assert np.isnat(ra[3]) + + assert_array_equal(a, ra) + + if has_na and not is_str: + # don't worry about comparing how NaT is converted + sa = np.delete(sa, 3) + a = np.delete(a, 3) + + if input_dtype.startswith("M"): + assert_array_equal(sa, a.astype("U")) + else: + # The timedelta to unicode cast produces strings + # that aren't round-trippable and we don't want to + # reproduce that behavior in stringdtype + assert_array_equal(sa, a.astype("int64").astype("U")) + + +def test_nat_casts(): + s = 'nat' + all_nats = itertools.product(*zip(s.upper(), s.lower())) + all_nats = list(map(''.join, all_nats)) + NaT_dt = np.datetime64('NaT') + NaT_td = np.timedelta64('NaT') + for na_object in [np._NoValue, None, np.nan, 'nat', '']: + # numpy treats empty string and all case combinations of 'nat' as NaT + dtype = StringDType(na_object=na_object) + arr = np.array([''] + all_nats, dtype=dtype) + dt_array = arr.astype('M8[s]') + td_array = arr.astype('m8[s]') + assert_array_equal(dt_array, NaT_dt) + assert_array_equal(td_array, NaT_td) + + if na_object is np._NoValue: + output_object = 'NaT' + else: + output_object = na_object + + for arr in [dt_array, td_array]: + assert_array_equal( + arr.astype(dtype), + np.array([output_object]*arr.size, dtype=dtype)) + + +def test_nat_conversion(): + for nat in [np.datetime64("NaT", "s"), np.timedelta64("NaT", "s")]: + with pytest.raises(ValueError, match="string coercion is disabled"): + np.array(["a", nat], dtype=StringDType(coerce=False)) + + +def test_growing_strings(dtype): + # growing a string leads to a heap allocation, this tests to make sure + # we do that bookkeeping correctly for all possible starting cases + data = [ + "hello", # a short string + "abcdefghijklmnopqestuvwxyz", # a medium heap-allocated string + "hello" * 200, # a long heap-allocated string + ] + + arr = np.array(data, dtype=dtype) + uarr = np.array(data, dtype=str) + + for _ in range(5): + arr = arr + arr + uarr = uarr + uarr + + assert_array_equal(arr, uarr) + + +@pytest.mark.skipif(IS_WASM, reason="no threading support in wasm") +def test_threaded_access_and_mutation(dtype, random_string_list): + # this test uses an RNG and may crash or cause deadlocks if there is a + # threading bug + rng = np.random.default_rng(0x4D3D3D3) + + def func(arr): + rnd = rng.random() + # either write to random locations in the array, compute a ufunc, or + # re-initialize the array + if rnd < 0.25: + num = np.random.randint(0, arr.size) + arr[num] = arr[num] + "hello" + elif rnd < 0.5: + if rnd < 0.375: + np.add(arr, arr) + else: + np.add(arr, arr, out=arr) + elif rnd < 0.75: + if rnd < 0.875: + np.multiply(arr, np.int64(2)) + else: + np.multiply(arr, np.int64(2), out=arr) + else: + arr[:] = random_string_list + + with concurrent.futures.ThreadPoolExecutor(max_workers=8) as tpe: + arr = np.array(random_string_list, dtype=dtype) + futures = [tpe.submit(func, arr) for _ in range(500)] + + for f in futures: + f.result() + + +UFUNC_TEST_DATA = [ + "hello" * 10, + "Ae¢☃€ 😊" * 20, + "entry\nwith\nnewlines", + "entry\twith\ttabs", +] + + +@pytest.fixture +def string_array(dtype): + return np.array(UFUNC_TEST_DATA, dtype=dtype) + + +@pytest.fixture +def unicode_array(): + return np.array(UFUNC_TEST_DATA, dtype=np.str_) + + +NAN_PRESERVING_FUNCTIONS = [ + "capitalize", + "expandtabs", + "lower", + "lstrip", + "rstrip", + "splitlines", + "strip", + "swapcase", + "title", + "upper", +] + +BOOL_OUTPUT_FUNCTIONS = [ + "isalnum", + "isalpha", + "isdigit", + "islower", + "isspace", + "istitle", + "isupper", + "isnumeric", + "isdecimal", +] + +UNARY_FUNCTIONS = [ + "str_len", + "capitalize", + "expandtabs", + "isalnum", + "isalpha", + "isdigit", + "islower", + "isspace", + "istitle", + "isupper", + "lower", + "lstrip", + "rstrip", + "splitlines", + "strip", + "swapcase", + "title", + "upper", + "isnumeric", + "isdecimal", + "isalnum", + "islower", + "istitle", + "isupper", +] + +UNIMPLEMENTED_VEC_STRING_FUNCTIONS = [ + "capitalize", + "expandtabs", + "lower", + "splitlines", + "swapcase", + "title", + "upper", +] + +ONLY_IN_NP_CHAR = [ + "join", + "split", + "rsplit", + "splitlines" +] + + +@pytest.mark.parametrize("function_name", UNARY_FUNCTIONS) +def test_unary(string_array, unicode_array, function_name): + if function_name in ONLY_IN_NP_CHAR: + func = getattr(np.char, function_name) + else: + func = getattr(np.strings, function_name) + dtype = string_array.dtype + sres = func(string_array) + ures = func(unicode_array) + if sres.dtype == StringDType(): + ures = ures.astype(StringDType()) + assert_array_equal(sres, ures) + + if not hasattr(dtype, "na_object"): + return + + is_nan = np.isnan(np.array([dtype.na_object], dtype=dtype))[0] + is_str = isinstance(dtype.na_object, str) + na_arr = np.insert(string_array, 0, dtype.na_object) + + if function_name in UNIMPLEMENTED_VEC_STRING_FUNCTIONS: + if not is_str: + # to avoid these errors we'd need to add NA support to _vec_string + with pytest.raises((ValueError, TypeError)): + func(na_arr) + else: + if function_name == "splitlines": + assert func(na_arr)[0] == func(dtype.na_object)[()] + else: + assert func(na_arr)[0] == func(dtype.na_object) + return + if function_name == "str_len" and not is_str: + # str_len always errors for any non-string null, even NA ones because + # it has an integer result + with pytest.raises(ValueError): + func(na_arr) + return + if function_name in BOOL_OUTPUT_FUNCTIONS: + if is_nan: + assert func(na_arr)[0] is np.False_ + elif is_str: + assert func(na_arr)[0] == func(dtype.na_object) + else: + with pytest.raises(ValueError): + func(na_arr) + return + if not (is_nan or is_str): + with pytest.raises(ValueError): + func(na_arr) + return + res = func(na_arr) + if is_nan and function_name in NAN_PRESERVING_FUNCTIONS: + assert res[0] is dtype.na_object + elif is_str: + assert res[0] == func(dtype.na_object) + + +unicode_bug_fail = pytest.mark.xfail( + reason="unicode output width is buggy", strict=True +) + +# None means that the argument is a string array +BINARY_FUNCTIONS = [ + ("add", (None, None)), + ("multiply", (None, 2)), + ("mod", ("format: %s", None)), + ("center", (None, 25)), + ("count", (None, "A")), + ("encode", (None, "UTF-8")), + ("endswith", (None, "lo")), + ("find", (None, "A")), + ("index", (None, "e")), + ("join", ("-", None)), + ("ljust", (None, 12)), + ("lstrip", (None, "A")), + ("partition", (None, "A")), + ("replace", (None, "A", "B")), + ("rfind", (None, "A")), + ("rindex", (None, "e")), + ("rjust", (None, 12)), + ("rsplit", (None, "A")), + ("rstrip", (None, "A")), + ("rpartition", (None, "A")), + ("split", (None, "A")), + ("strip", (None, "A")), + ("startswith", (None, "A")), + ("zfill", (None, 12)), +] + +PASSES_THROUGH_NAN_NULLS = [ + "add", + "center", + "ljust", + "multiply", + "replace", + "rjust", + "strip", + "lstrip", + "rstrip", + "replace" + "zfill", +] + +NULLS_ARE_FALSEY = [ + "startswith", + "endswith", +] + +NULLS_ALWAYS_ERROR = [ + "count", + "find", + "rfind", +] + +SUPPORTS_NULLS = ( + PASSES_THROUGH_NAN_NULLS + + NULLS_ARE_FALSEY + + NULLS_ALWAYS_ERROR +) + + +def call_func(func, args, array, sanitize=True): + if args == (None, None): + return func(array, array) + if args[0] is None: + if sanitize: + san_args = tuple( + np.array(arg, dtype=array.dtype) if isinstance(arg, str) else + arg for arg in args[1:] + ) + else: + san_args = args[1:] + return func(array, *san_args) + if args[1] is None: + return func(args[0], array) + # shouldn't ever happen + assert 0 + + +@pytest.mark.parametrize("function_name, args", BINARY_FUNCTIONS) +def test_binary(string_array, unicode_array, function_name, args): + if function_name in ONLY_IN_NP_CHAR: + func = getattr(np.char, function_name) + else: + func = getattr(np.strings, function_name) + sres = call_func(func, args, string_array) + ures = call_func(func, args, unicode_array, sanitize=False) + if not isinstance(sres, tuple) and sres.dtype == StringDType(): + ures = ures.astype(StringDType()) + assert_array_equal(sres, ures) + + dtype = string_array.dtype + if function_name not in SUPPORTS_NULLS or not hasattr(dtype, "na_object"): + return + + na_arr = np.insert(string_array, 0, dtype.na_object) + is_nan = np.isnan(np.array([dtype.na_object], dtype=dtype))[0] + is_str = isinstance(dtype.na_object, str) + should_error = not (is_nan or is_str) + + if ( + (function_name in NULLS_ALWAYS_ERROR and not is_str) + or (function_name in PASSES_THROUGH_NAN_NULLS and should_error) + or (function_name in NULLS_ARE_FALSEY and should_error) + ): + with pytest.raises((ValueError, TypeError)): + call_func(func, args, na_arr) + return + + res = call_func(func, args, na_arr) + + if is_str: + assert res[0] == call_func(func, args, na_arr[:1]) + elif function_name in NULLS_ARE_FALSEY: + assert res[0] is np.False_ + elif function_name in PASSES_THROUGH_NAN_NULLS: + assert res[0] is dtype.na_object + else: + # shouldn't ever get here + assert 0 + + +@pytest.mark.parametrize("function, expected", [ + (np.strings.find, [[2, -1], [1, -1]]), + (np.strings.startswith, [[False, False], [True, False]])]) +@pytest.mark.parametrize("start, stop", [ + (1, 4), + (np.int8(1), np.int8(4)), + (np.array([1, 1], dtype='u2'), np.array([4, 4], dtype='u2'))]) +def test_non_default_start_stop(function, start, stop, expected): + a = np.array([["--🐍--", "--🦜--"], + ["-🐍---", "-🦜---"]], "T") + indx = function(a, "🐍", start, stop) + assert_array_equal(indx, expected) + + +@pytest.mark.parametrize("count", [2, np.int8(2), np.array([2, 2], 'u2')]) +def test_replace_non_default_repeat(count): + a = np.array(["🐍--", "🦜-🦜-"], "T") + result = np.strings.replace(a, "🦜-", "🦜†", count) + assert_array_equal(result, np.array(["🐍--", "🦜†🦜†"], "T")) + + +def test_strip_ljust_rjust_consistency(string_array, unicode_array): + rjs = np.char.rjust(string_array, 1000) + rju = np.char.rjust(unicode_array, 1000) + + ljs = np.char.ljust(string_array, 1000) + lju = np.char.ljust(unicode_array, 1000) + + assert_array_equal( + np.char.lstrip(rjs), + np.char.lstrip(rju).astype(StringDType()), + ) + + assert_array_equal( + np.char.rstrip(ljs), + np.char.rstrip(lju).astype(StringDType()), + ) + + assert_array_equal( + np.char.strip(ljs), + np.char.strip(lju).astype(StringDType()), + ) + + assert_array_equal( + np.char.strip(rjs), + np.char.strip(rju).astype(StringDType()), + ) + + +def test_unset_na_coercion(): + # a dtype instance with an unset na object is compatible + # with a dtype that has one set + + # this test uses the "add" and "equal" ufunc but all ufuncs that + # accept more than one string argument and produce a string should + # behave this way + # TODO: generalize to more ufuncs + inp = ["hello", "world"] + arr = np.array(inp, dtype=StringDType(na_object=None)) + for op_dtype in [None, StringDType(), StringDType(coerce=False), + StringDType(na_object=None)]: + if op_dtype is None: + op = "2" + else: + op = np.array("2", dtype=op_dtype) + res = arr + op + assert_array_equal(res, ["hello2", "world2"]) + + # dtype instances with distinct explicitly set NA objects are incompatible + for op_dtype in [StringDType(na_object=pd_NA), StringDType(na_object="")]: + op = np.array("2", dtype=op_dtype) + with pytest.raises(TypeError): + arr + op + + # comparisons only consider the na_object + for op_dtype in [None, StringDType(), StringDType(coerce=True), + StringDType(na_object=None)]: + if op_dtype is None: + op = inp + else: + op = np.array(inp, dtype=op_dtype) + assert_array_equal(arr, op) + + for op_dtype in [StringDType(na_object=pd_NA), + StringDType(na_object=np.nan)]: + op = np.array(inp, dtype=op_dtype) + with pytest.raises(TypeError): + arr == op + + +def test_repeat(string_array): + res = string_array.repeat(1000) + # Create an empty array with expanded dimension, and fill it. Then, + # reshape it to the expected result. + expected = np.empty_like(string_array, shape=string_array.shape + (1000,)) + expected[...] = string_array[:, np.newaxis] + expected = expected.reshape(-1) + + assert_array_equal(res, expected, strict=True) + + +@pytest.mark.parametrize("tile", [1, 6, (2, 5)]) +def test_accumulation(string_array, tile): + """Accumulation is odd for StringDType but tests dtypes with references. + """ + # Fill with mostly empty strings to not create absurdly big strings + arr = np.zeros_like(string_array, shape=(100,)) + arr[:len(string_array)] = string_array + arr[-len(string_array):] = string_array + + # Bloat size a bit (get above thresholds and test >1 ndim). + arr = np.tile(string_array, tile) + + res = np.add.accumulate(arr, axis=0) + res_obj = np.add.accumulate(arr.astype(object), axis=0) + assert_array_equal(res, res_obj.astype(arr.dtype), strict=True) + + if arr.ndim > 1: + res = np.add.accumulate(arr, axis=-1) + res_obj = np.add.accumulate(arr.astype(object), axis=-1) + + assert_array_equal(res, res_obj.astype(arr.dtype), strict=True) + + +class TestImplementation: + """Check that strings are stored in the arena when possible. + + This tests implementation details, so should be adjusted if + the implementation changes. + """ + + @classmethod + def setup_class(self): + self.MISSING = 0x80 + self.INITIALIZED = 0x40 + self.OUTSIDE_ARENA = 0x20 + self.LONG = 0x10 + self.dtype = StringDType(na_object=np.nan) + self.sizeofstr = self.dtype.itemsize + sp = self.dtype.itemsize // 2 # pointer size = sizeof(size_t) + # Below, size is not strictly correct, since it really uses + # 7 (or 3) bytes, but good enough for the tests here. + self.view_dtype = np.dtype([ + ('offset', f'u{sp}'), + ('size', f'u{sp // 2}'), + ('xsiz', f'V{sp // 2 - 1}'), + ('size_and_flags', 'u1'), + ] if sys.byteorder == 'little' else [ + ('size_and_flags', 'u1'), + ('xsiz', f'V{sp // 2 - 1}'), + ('size', f'u{sp // 2}'), + ('offset', f'u{sp}'), + ]) + self.s_empty = "" + self.s_short = "01234" + self.s_medium = "abcdefghijklmnopqrstuvwxyz" + self.s_long = "-=+" * 100 + self.a = np.array( + [self.s_empty, self.s_short, self.s_medium, self.s_long], + self.dtype) + + def get_view(self, a): + # Cannot view a StringDType as anything else directly, since + # it has references. So, we use a stride trick hack. + from numpy.lib._stride_tricks_impl import DummyArray + interface = dict(a.__array_interface__) + interface['descr'] = self.view_dtype.descr + interface['typestr'] = self.view_dtype.str + return np.asarray(DummyArray(interface, base=a)) + + def get_flags(self, a): + return self.get_view(a)['size_and_flags'] & 0xf0 + + def is_short(self, a): + return self.get_flags(a) == self.INITIALIZED | self.OUTSIDE_ARENA + + def is_on_heap(self, a): + return self.get_flags(a) == (self.INITIALIZED + | self.OUTSIDE_ARENA + | self.LONG) + + def is_missing(self, a): + return self.get_flags(a) & self.MISSING == self.MISSING + + def in_arena(self, a): + return (self.get_flags(a) & (self.INITIALIZED | self.OUTSIDE_ARENA) + == self.INITIALIZED) + + def test_setup(self): + is_short = self.is_short(self.a) + length = np.strings.str_len(self.a) + assert_array_equal(is_short, (length > 0) & (length <= 15)) + assert_array_equal(self.in_arena(self.a), [False, False, True, True]) + assert_array_equal(self.is_on_heap(self.a), False) + assert_array_equal(self.is_missing(self.a), False) + view = self.get_view(self.a) + sizes = np.where(is_short, view['size_and_flags'] & 0xf, + view['size']) + assert_array_equal(sizes, np.strings.str_len(self.a)) + assert_array_equal(view['xsiz'][2:], + np.void(b'\x00' * (self.sizeofstr // 4 - 1))) + # Check that the medium string uses only 1 byte for its length + # in the arena, while the long string takes 8 (or 4). + offsets = view['offset'] + assert offsets[2] == 1 + assert offsets[3] == 1 + len(self.s_medium) + self.sizeofstr // 2 + + def test_empty(self): + e = np.empty((3,), self.dtype) + assert_array_equal(self.get_flags(e), 0) + assert_array_equal(e, "") + + def test_zeros(self): + z = np.zeros((2,), self.dtype) + assert_array_equal(self.get_flags(z), 0) + assert_array_equal(z, "") + + def test_copy(self): + for c in [self.a.copy(), copy.copy(self.a), copy.deepcopy(self.a)]: + assert_array_equal(self.get_flags(c), self.get_flags(self.a)) + assert_array_equal(c, self.a) + offsets = self.get_view(c)['offset'] + assert offsets[2] == 1 + assert offsets[3] == 1 + len(self.s_medium) + self.sizeofstr // 2 + + def test_arena_use_with_setting(self): + c = np.zeros_like(self.a) + assert_array_equal(self.get_flags(c), 0) + c[:] = self.a + assert_array_equal(self.get_flags(c), self.get_flags(self.a)) + assert_array_equal(c, self.a) + + def test_arena_reuse_with_setting(self): + c = self.a.copy() + c[:] = self.a + assert_array_equal(self.get_flags(c), self.get_flags(self.a)) + assert_array_equal(c, self.a) + + def test_arena_reuse_after_missing(self): + c = self.a.copy() + c[:] = np.nan + assert np.all(self.is_missing(c)) + # Replacing with the original strings, the arena should be reused. + c[:] = self.a + assert_array_equal(self.get_flags(c), self.get_flags(self.a)) + assert_array_equal(c, self.a) + + def test_arena_reuse_after_empty(self): + c = self.a.copy() + c[:] = "" + assert_array_equal(c, "") + # Replacing with the original strings, the arena should be reused. + c[:] = self.a + assert_array_equal(self.get_flags(c), self.get_flags(self.a)) + assert_array_equal(c, self.a) + + def test_arena_reuse_for_shorter(self): + c = self.a.copy() + # A string slightly shorter than the shortest in the arena + # should be used for all strings in the arena. + c[:] = self.s_medium[:-1] + assert_array_equal(c, self.s_medium[:-1]) + # first empty string in original was never initialized, so + # filling it in now leaves it initialized inside the arena. + # second string started as a short string so it can never live + # in the arena. + in_arena = np.array([True, False, True, True]) + assert_array_equal(self.in_arena(c), in_arena) + # But when a short string is replaced, it will go on the heap. + assert_array_equal(self.is_short(c), False) + assert_array_equal(self.is_on_heap(c), ~in_arena) + # We can put the originals back, and they'll still fit, + # and short strings are back as short strings + c[:] = self.a + assert_array_equal(c, self.a) + assert_array_equal(self.in_arena(c), in_arena) + assert_array_equal(self.is_short(c), self.is_short(self.a)) + assert_array_equal(self.is_on_heap(c), False) + + def test_arena_reuse_if_possible(self): + c = self.a.copy() + # A slightly longer string will not fit in the arena for + # the medium string, but will fit for the longer one. + c[:] = self.s_medium + "±" + assert_array_equal(c, self.s_medium + "±") + in_arena_exp = np.strings.str_len(self.a) >= len(self.s_medium) + 1 + # first entry started uninitialized and empty, so filling it leaves + # it in the arena + in_arena_exp[0] = True + assert not np.all(in_arena_exp == self.in_arena(self.a)) + assert_array_equal(self.in_arena(c), in_arena_exp) + assert_array_equal(self.is_short(c), False) + assert_array_equal(self.is_on_heap(c), ~in_arena_exp) + # And once outside arena, it stays outside, since offset is lost. + # But short strings are used again. + c[:] = self.a + is_short_exp = self.is_short(self.a) + assert_array_equal(c, self.a) + assert_array_equal(self.in_arena(c), in_arena_exp) + assert_array_equal(self.is_short(c), is_short_exp) + assert_array_equal(self.is_on_heap(c), ~in_arena_exp & ~is_short_exp) + + def test_arena_no_reuse_after_short(self): + c = self.a.copy() + # If we replace a string with a short string, it cannot + # go into the arena after because the offset is lost. + c[:] = self.s_short + assert_array_equal(c, self.s_short) + assert_array_equal(self.in_arena(c), False) + c[:] = self.a + assert_array_equal(c, self.a) + assert_array_equal(self.in_arena(c), False) + assert_array_equal(self.is_on_heap(c), self.in_arena(self.a)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_strings.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_strings.py new file mode 100644 index 0000000000000000000000000000000000000000..1aca4102d188554c776c80eeca651c7ab0b4b722 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_strings.py @@ -0,0 +1,1289 @@ +import sys +import pytest + +import operator +import numpy as np + +from numpy.testing import assert_array_equal, assert_raises, IS_PYPY +from numpy.testing._private.utils import requires_memory + +COMPARISONS = [ + (operator.eq, np.equal, "=="), + (operator.ne, np.not_equal, "!="), + (operator.lt, np.less, "<"), + (operator.le, np.less_equal, "<="), + (operator.gt, np.greater, ">"), + (operator.ge, np.greater_equal, ">="), +] + +MAX = np.iinfo(np.int64).max + +IS_PYPY_LT_7_3_16 = IS_PYPY and sys.implementation.version < (7, 3, 16) + +@pytest.mark.parametrize(["op", "ufunc", "sym"], COMPARISONS) +def test_mixed_string_comparison_ufuncs_fail(op, ufunc, sym): + arr_string = np.array(["a", "b"], dtype="S") + arr_unicode = np.array(["a", "c"], dtype="U") + + with pytest.raises(TypeError, match="did not contain a loop"): + ufunc(arr_string, arr_unicode) + + with pytest.raises(TypeError, match="did not contain a loop"): + ufunc(arr_unicode, arr_string) + +@pytest.mark.parametrize(["op", "ufunc", "sym"], COMPARISONS) +def test_mixed_string_comparisons_ufuncs_with_cast(op, ufunc, sym): + arr_string = np.array(["a", "b"], dtype="S") + arr_unicode = np.array(["a", "c"], dtype="U") + + # While there is no loop, manual casting is acceptable: + res1 = ufunc(arr_string, arr_unicode, signature="UU->?", casting="unsafe") + res2 = ufunc(arr_string, arr_unicode, signature="SS->?", casting="unsafe") + + expected = op(arr_string.astype("U"), arr_unicode) + assert_array_equal(res1, expected) + assert_array_equal(res2, expected) + + +@pytest.mark.parametrize(["op", "ufunc", "sym"], COMPARISONS) +@pytest.mark.parametrize("dtypes", [ + ("S2", "S2"), ("S2", "S10"), + ("U1"), (">U1", ">U1"), + ("U10")]) +@pytest.mark.parametrize("aligned", [True, False]) +def test_string_comparisons(op, ufunc, sym, dtypes, aligned): + # ensure native byte-order for the first view to stay within unicode range + native_dt = np.dtype(dtypes[0]).newbyteorder("=") + arr = np.arange(2**15).view(native_dt).astype(dtypes[0]) + if not aligned: + # Make `arr` unaligned: + new = np.zeros(arr.nbytes + 1, dtype=np.uint8)[1:].view(dtypes[0]) + new[...] = arr + arr = new + + arr2 = arr.astype(dtypes[1], copy=True) + np.random.shuffle(arr2) + arr[0] = arr2[0] # make sure one matches + + expected = [op(d1, d2) for d1, d2 in zip(arr.tolist(), arr2.tolist())] + assert_array_equal(op(arr, arr2), expected) + assert_array_equal(ufunc(arr, arr2), expected) + assert_array_equal( + np.char.compare_chararrays(arr, arr2, sym, False), expected + ) + + expected = [op(d2, d1) for d1, d2 in zip(arr.tolist(), arr2.tolist())] + assert_array_equal(op(arr2, arr), expected) + assert_array_equal(ufunc(arr2, arr), expected) + assert_array_equal( + np.char.compare_chararrays(arr2, arr, sym, False), expected + ) + + +@pytest.mark.parametrize(["op", "ufunc", "sym"], COMPARISONS) +@pytest.mark.parametrize("dtypes", [ + ("S2", "S2"), ("S2", "S10"), ("U10")]) +def test_string_comparisons_empty(op, ufunc, sym, dtypes): + arr = np.empty((1, 0, 1, 5), dtype=dtypes[0]) + arr2 = np.empty((100, 1, 0, 1), dtype=dtypes[1]) + + expected = np.empty(np.broadcast_shapes(arr.shape, arr2.shape), dtype=bool) + assert_array_equal(op(arr, arr2), expected) + assert_array_equal(ufunc(arr, arr2), expected) + assert_array_equal( + np.char.compare_chararrays(arr, arr2, sym, False), expected + ) + + +@pytest.mark.parametrize("str_dt", ["S", "U"]) +@pytest.mark.parametrize("float_dt", np.typecodes["AllFloat"]) +def test_float_to_string_cast(str_dt, float_dt): + float_dt = np.dtype(float_dt) + fi = np.finfo(float_dt) + arr = np.array([np.nan, np.inf, -np.inf, fi.max, fi.min], dtype=float_dt) + expected = ["nan", "inf", "-inf", str(fi.max), str(fi.min)] + if float_dt.kind == "c": + expected = [f"({r}+0j)" for r in expected] + + res = arr.astype(str_dt) + assert_array_equal(res, np.array(expected, dtype=str_dt)) + + +@pytest.mark.parametrize("str_dt", "US") +@pytest.mark.parametrize("size", [-1, np.iinfo(np.intc).max]) +def test_string_size_dtype_errors(str_dt, size): + if size > 0: + size = size // np.dtype(f"{str_dt}1").itemsize + 1 + + with pytest.raises(ValueError): + np.dtype((str_dt, size)) + with pytest.raises(TypeError): + np.dtype(f"{str_dt}{size}") + + +@pytest.mark.parametrize("str_dt", "US") +def test_string_size_dtype_large_repr(str_dt): + size = np.iinfo(np.intc).max // np.dtype(f"{str_dt}1").itemsize + size_str = str(size) + + dtype = np.dtype((str_dt, size)) + assert size_str in dtype.str + assert size_str in str(dtype) + assert size_str in repr(dtype) + + +@pytest.mark.slow +@requires_memory(2 * np.iinfo(np.intc).max) +@pytest.mark.parametrize("str_dt", "US") +def test_large_string_coercion_error(str_dt): + very_large = np.iinfo(np.intc).max // np.dtype(f"{str_dt}1").itemsize + try: + large_string = "A" * (very_large + 1) + except Exception: + # We may not be able to create this Python string on 32bit. + pytest.skip("python failed to create huge string") + + class MyStr: + def __str__(self): + return large_string + + try: + # TypeError from NumPy, or OverflowError from 32bit Python. + with pytest.raises((TypeError, OverflowError)): + np.array([large_string], dtype=str_dt) + + # Same as above, but input has to be converted to a string. + with pytest.raises((TypeError, OverflowError)): + np.array([MyStr()], dtype=str_dt) + except MemoryError: + # Catch memory errors, because `requires_memory` would do so. + raise AssertionError("Ops should raise before any large allocation.") + +@pytest.mark.slow +@requires_memory(2 * np.iinfo(np.intc).max) +@pytest.mark.parametrize("str_dt", "US") +def test_large_string_addition_error(str_dt): + very_large = np.iinfo(np.intc).max // np.dtype(f"{str_dt}1").itemsize + + a = np.array(["A" * very_large], dtype=str_dt) + b = np.array("B", dtype=str_dt) + try: + with pytest.raises(TypeError): + np.add(a, b) + with pytest.raises(TypeError): + np.add(a, a) + except MemoryError: + # Catch memory errors, because `requires_memory` would do so. + raise AssertionError("Ops should raise before any large allocation.") + + +def test_large_string_cast(): + very_large = np.iinfo(np.intc).max // 4 + # Could be nice to test very large path, but it makes too many huge + # allocations right now (need non-legacy cast loops for this). + # a = np.array([], dtype=np.dtype(("S", very_large))) + # assert a.astype("U").dtype.itemsize == very_large * 4 + + a = np.array([], dtype=np.dtype(("S", very_large + 1))) + # It is not perfect but OK if this raises a MemoryError during setup + # (this happens due clunky code and/or buffer setup.) + with pytest.raises((TypeError, MemoryError)): + a.astype("U") + + +@pytest.mark.parametrize("dt", ["S", "U", "T"]) +class TestMethods: + + @pytest.mark.parametrize("in1,in2,out", [ + ("", "", ""), + ("abc", "abc", "abcabc"), + ("12345", "12345", "1234512345"), + ("MixedCase", "MixedCase", "MixedCaseMixedCase"), + ("12345 \0 ", "12345 \0 ", "12345 \0 12345 \0 "), + ("UPPER", "UPPER", "UPPERUPPER"), + (["abc", "def"], ["hello", "world"], ["abchello", "defworld"]), + ]) + def test_add(self, in1, in2, out, dt): + in1 = np.array(in1, dtype=dt) + in2 = np.array(in2, dtype=dt) + out = np.array(out, dtype=dt) + assert_array_equal(np.strings.add(in1, in2), out) + + @pytest.mark.parametrize("in1,in2,out", [ + ("abc", 3, "abcabcabc"), + ("abc", 0, ""), + ("abc", -1, ""), + (["abc", "def"], [1, 4], ["abc", "defdefdefdef"]), + ]) + def test_multiply(self, in1, in2, out, dt): + in1 = np.array(in1, dtype=dt) + out = np.array(out, dtype=dt) + assert_array_equal(np.strings.multiply(in1, in2), out) + + def test_multiply_raises(self, dt): + with pytest.raises(TypeError, match="unsupported type"): + np.strings.multiply(np.array("abc", dtype=dt), 3.14) + + with pytest.raises(MemoryError): + np.strings.multiply(np.array("abc", dtype=dt), sys.maxsize) + + @pytest.mark.parametrize("i_dt", [np.int8, np.int16, np.int32, + np.int64, np.int_]) + def test_multiply_integer_dtypes(self, i_dt, dt): + a = np.array("abc", dtype=dt) + i = np.array(3, dtype=i_dt) + res = np.array("abcabcabc", dtype=dt) + assert_array_equal(np.strings.multiply(a, i), res) + + @pytest.mark.parametrize("in_,out", [ + ("", False), + ("a", True), + ("A", True), + ("\n", False), + ("abc", True), + ("aBc123", False), + ("abc\n", False), + (["abc", "aBc123"], [True, False]), + ]) + def test_isalpha(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isalpha(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ('', False), + ('a', True), + ('A', True), + ('\n', False), + ('123abc456', True), + ('a1b3c', True), + ('aBc000 ', False), + ('abc\n', False), + ]) + def test_isalnum(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isalnum(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ("", False), + ("a", False), + ("0", True), + ("012345", True), + ("012345a", False), + (["a", "012345"], [False, True]), + ]) + def test_isdigit(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isdigit(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ("", False), + ("a", False), + ("1", False), + (" ", True), + ("\t", True), + ("\r", True), + ("\n", True), + (" \t\r \n", True), + (" \t\r\na", False), + (["\t1", " \t\r \n"], [False, True]) + ]) + def test_isspace(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isspace(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ('', False), + ('a', True), + ('A', False), + ('\n', False), + ('abc', True), + ('aBc', False), + ('abc\n', True), + ]) + def test_islower(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.islower(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ('', False), + ('a', False), + ('A', True), + ('\n', False), + ('ABC', True), + ('AbC', False), + ('ABC\n', True), + ]) + def test_isupper(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isupper(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ('', False), + ('a', False), + ('A', True), + ('\n', False), + ('A Titlecased Line', True), + ('A\nTitlecased Line', True), + ('A Titlecased, Line', True), + ('Not a capitalized String', False), + ('Not\ta Titlecase String', False), + ('Not--a Titlecase String', False), + ('NOT', False), + ]) + def test_istitle(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.istitle(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ("", 0), + ("abc", 3), + ("12345", 5), + ("MixedCase", 9), + ("12345 \x00 ", 8), + ("UPPER", 5), + (["abc", "12345 \x00 "], [3, 8]), + ]) + def test_str_len(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.str_len(in_), out) + + @pytest.mark.parametrize("a,sub,start,end,out", [ + ("abcdefghiabc", "abc", 0, None, 0), + ("abcdefghiabc", "abc", 1, None, 9), + ("abcdefghiabc", "def", 4, None, -1), + ("abc", "", 0, None, 0), + ("abc", "", 3, None, 3), + ("abc", "", 4, None, -1), + ("rrarrrrrrrrra", "a", 0, None, 2), + ("rrarrrrrrrrra", "a", 4, None, 12), + ("rrarrrrrrrrra", "a", 4, 6, -1), + ("", "", 0, None, 0), + ("", "", 1, 1, -1), + ("", "", MAX, 0, -1), + ("", "xx", 0, None, -1), + ("", "xx", 1, 1, -1), + ("", "xx", MAX, 0, -1), + pytest.param(99*"a" + "b", "b", 0, None, 99, + id="99*a+b-b-0-None-99"), + pytest.param(98*"a" + "ba", "ba", 0, None, 98, + id="98*a+ba-ba-0-None-98"), + pytest.param(100*"a", "b", 0, None, -1, + id="100*a-b-0-None--1"), + pytest.param(30000*"a" + 100*"b", 100*"b", 0, None, 30000, + id="30000*a+100*b-100*b-0-None-30000"), + pytest.param(30000*"a", 100*"b", 0, None, -1, + id="30000*a-100*b-0-None--1"), + pytest.param(15000*"a" + 15000*"b", 15000*"b", 0, None, 15000, + id="15000*a+15000*b-15000*b-0-None-15000"), + pytest.param(15000*"a" + 15000*"b", 15000*"c", 0, None, -1, + id="15000*a+15000*b-15000*c-0-None--1"), + (["abcdefghiabc", "rrarrrrrrrrra"], ["def", "arr"], [0, 3], + None, [3, -1]), + ("Ae¢☃€ 😊" * 2, "😊", 0, None, 6), + ("Ae¢☃€ 😊" * 2, "😊", 7, None, 13), + pytest.param("A" * (2 ** 17), r"[\w]+\Z", 0, None, -1, + id=r"A*2**17-[\w]+\Z-0-None--1"), + ]) + def test_find(self, a, sub, start, end, out, dt): + if "😊" in a and dt == "S": + pytest.skip("Bytes dtype does not support non-ascii input") + a = np.array(a, dtype=dt) + sub = np.array(sub, dtype=dt) + assert_array_equal(np.strings.find(a, sub, start, end), out) + + @pytest.mark.parametrize("a,sub,start,end,out", [ + ("abcdefghiabc", "abc", 0, None, 9), + ("abcdefghiabc", "", 0, None, 12), + ("abcdefghiabc", "abcd", 0, None, 0), + ("abcdefghiabc", "abcz", 0, None, -1), + ("abc", "", 0, None, 3), + ("abc", "", 3, None, 3), + ("abc", "", 4, None, -1), + ("rrarrrrrrrrra", "a", 0, None, 12), + ("rrarrrrrrrrra", "a", 4, None, 12), + ("rrarrrrrrrrra", "a", 4, 6, -1), + (["abcdefghiabc", "rrarrrrrrrrra"], ["abc", "a"], [0, 0], + None, [9, 12]), + ("Ae¢☃€ 😊" * 2, "😊", 0, None, 13), + ("Ae¢☃€ 😊" * 2, "😊", 0, 7, 6), + ]) + def test_rfind(self, a, sub, start, end, out, dt): + if "😊" in a and dt == "S": + pytest.skip("Bytes dtype does not support non-ascii input") + a = np.array(a, dtype=dt) + sub = np.array(sub, dtype=dt) + assert_array_equal(np.strings.rfind(a, sub, start, end), out) + + @pytest.mark.parametrize("a,sub,start,end,out", [ + ("aaa", "a", 0, None, 3), + ("aaa", "b", 0, None, 0), + ("aaa", "a", 1, None, 2), + ("aaa", "a", 10, None, 0), + ("aaa", "a", -1, None, 1), + ("aaa", "a", -10, None, 3), + ("aaa", "a", 0, 1, 1), + ("aaa", "a", 0, 10, 3), + ("aaa", "a", 0, -1, 2), + ("aaa", "a", 0, -10, 0), + ("aaa", "", 1, None, 3), + ("aaa", "", 3, None, 1), + ("aaa", "", 10, None, 0), + ("aaa", "", -1, None, 2), + ("aaa", "", -10, None, 4), + ("aaa", "aaaa", 0, None, 0), + pytest.param(98*"a" + "ba", "ba", 0, None, 1, + id="98*a+ba-ba-0-None-1"), + pytest.param(30000*"a" + 100*"b", 100*"b", 0, None, 1, + id="30000*a+100*b-100*b-0-None-1"), + pytest.param(30000*"a", 100*"b", 0, None, 0, + id="30000*a-100*b-0-None-0"), + pytest.param(30000*"a" + 100*"ab", "ab", 0, None, 100, + id="30000*a+100*ab-ab-0-None-100"), + pytest.param(15000*"a" + 15000*"b", 15000*"b", 0, None, 1, + id="15000*a+15000*b-15000*b-0-None-1"), + pytest.param(15000*"a" + 15000*"b", 15000*"c", 0, None, 0, + id="15000*a+15000*b-15000*c-0-None-0"), + ("", "", 0, None, 1), + ("", "", 1, 1, 0), + ("", "", MAX, 0, 0), + ("", "xx", 0, None, 0), + ("", "xx", 1, 1, 0), + ("", "xx", MAX, 0, 0), + (["aaa", ""], ["a", ""], [0, 0], None, [3, 1]), + ("Ae¢☃€ 😊" * 100, "😊", 0, None, 100), + ]) + def test_count(self, a, sub, start, end, out, dt): + if "😊" in a and dt == "S": + pytest.skip("Bytes dtype does not support non-ascii input") + a = np.array(a, dtype=dt) + sub = np.array(sub, dtype=dt) + assert_array_equal(np.strings.count(a, sub, start, end), out) + + @pytest.mark.parametrize("a,prefix,start,end,out", [ + ("hello", "he", 0, None, True), + ("hello", "hello", 0, None, True), + ("hello", "hello world", 0, None, False), + ("hello", "", 0, None, True), + ("hello", "ello", 0, None, False), + ("hello", "ello", 1, None, True), + ("hello", "o", 4, None, True), + ("hello", "o", 5, None, False), + ("hello", "", 5, None, True), + ("hello", "lo", 6, None, False), + ("helloworld", "lowo", 3, None, True), + ("helloworld", "lowo", 3, 7, True), + ("helloworld", "lowo", 3, 6, False), + ("", "", 0, 1, True), + ("", "", 0, 0, True), + ("", "", 1, 0, False), + ("hello", "he", 0, -1, True), + ("hello", "he", -53, -1, True), + ("hello", "hello", 0, -1, False), + ("hello", "hello world", -1, -10, False), + ("hello", "ello", -5, None, False), + ("hello", "ello", -4, None, True), + ("hello", "o", -2, None, False), + ("hello", "o", -1, None, True), + ("hello", "", -3, -3, True), + ("hello", "lo", -9, None, False), + (["hello", ""], ["he", ""], [0, 0], None, [True, True]), + ]) + def test_startswith(self, a, prefix, start, end, out, dt): + a = np.array(a, dtype=dt) + prefix = np.array(prefix, dtype=dt) + assert_array_equal(np.strings.startswith(a, prefix, start, end), out) + + @pytest.mark.parametrize("a,suffix,start,end,out", [ + ("hello", "lo", 0, None, True), + ("hello", "he", 0, None, False), + ("hello", "", 0, None, True), + ("hello", "hello world", 0, None, False), + ("helloworld", "worl", 0, None, False), + ("helloworld", "worl", 3, 9, True), + ("helloworld", "world", 3, 12, True), + ("helloworld", "lowo", 1, 7, True), + ("helloworld", "lowo", 2, 7, True), + ("helloworld", "lowo", 3, 7, True), + ("helloworld", "lowo", 4, 7, False), + ("helloworld", "lowo", 3, 8, False), + ("ab", "ab", 0, 1, False), + ("ab", "ab", 0, 0, False), + ("", "", 0, 1, True), + ("", "", 0, 0, True), + ("", "", 1, 0, False), + ("hello", "lo", -2, None, True), + ("hello", "he", -2, None, False), + ("hello", "", -3, -3, True), + ("hello", "hello world", -10, -2, False), + ("helloworld", "worl", -6, None, False), + ("helloworld", "worl", -5, -1, True), + ("helloworld", "worl", -5, 9, True), + ("helloworld", "world", -7, 12, True), + ("helloworld", "lowo", -99, -3, True), + ("helloworld", "lowo", -8, -3, True), + ("helloworld", "lowo", -7, -3, True), + ("helloworld", "lowo", 3, -4, False), + ("helloworld", "lowo", -8, -2, False), + (["hello", "helloworld"], ["lo", "worl"], [0, -6], None, + [True, False]), + ]) + def test_endswith(self, a, suffix, start, end, out, dt): + a = np.array(a, dtype=dt) + suffix = np.array(suffix, dtype=dt) + assert_array_equal(np.strings.endswith(a, suffix, start, end), out) + + @pytest.mark.parametrize("a,chars,out", [ + ("", None, ""), + (" hello ", None, "hello "), + ("hello", None, "hello"), + (" \t\n\r\f\vabc \t\n\r\f\v", None, "abc \t\n\r\f\v"), + ([" hello ", "hello"], None, ["hello ", "hello"]), + ("", "", ""), + ("", "xyz", ""), + ("hello", "", "hello"), + ("xyzzyhelloxyzzy", "xyz", "helloxyzzy"), + ("hello", "xyz", "hello"), + ("xyxz", "xyxz", ""), + ("xyxzx", "x", "yxzx"), + (["xyzzyhelloxyzzy", "hello"], ["xyz", "xyz"], + ["helloxyzzy", "hello"]), + (["ba", "ac", "baa", "bba"], "b", ["a", "ac", "aa", "a"]), + ]) + def test_lstrip(self, a, chars, out, dt): + a = np.array(a, dtype=dt) + out = np.array(out, dtype=dt) + if chars is not None: + chars = np.array(chars, dtype=dt) + assert_array_equal(np.strings.lstrip(a, chars), out) + else: + assert_array_equal(np.strings.lstrip(a), out) + + @pytest.mark.parametrize("a,chars,out", [ + ("", None, ""), + (" hello ", None, " hello"), + ("hello", None, "hello"), + (" \t\n\r\f\vabc \t\n\r\f\v", None, " \t\n\r\f\vabc"), + ([" hello ", "hello"], None, [" hello", "hello"]), + ("", "", ""), + ("", "xyz", ""), + ("hello", "", "hello"), + (["hello ", "abcdefghijklmnop"], None, + ["hello", "abcdefghijklmnop"]), + ("xyzzyhelloxyzzy", "xyz", "xyzzyhello"), + ("hello", "xyz", "hello"), + ("xyxz", "xyxz", ""), + (" ", None, ""), + ("xyxzx", "x", "xyxz"), + (["xyzzyhelloxyzzy", "hello"], ["xyz", "xyz"], + ["xyzzyhello", "hello"]), + (["ab", "ac", "aab", "abb"], "b", ["a", "ac", "aa", "a"]), + ]) + def test_rstrip(self, a, chars, out, dt): + a = np.array(a, dtype=dt) + out = np.array(out, dtype=dt) + if chars is not None: + chars = np.array(chars, dtype=dt) + assert_array_equal(np.strings.rstrip(a, chars), out) + else: + assert_array_equal(np.strings.rstrip(a), out) + + @pytest.mark.parametrize("a,chars,out", [ + ("", None, ""), + (" hello ", None, "hello"), + ("hello", None, "hello"), + (" \t\n\r\f\vabc \t\n\r\f\v", None, "abc"), + ([" hello ", "hello"], None, ["hello", "hello"]), + ("", "", ""), + ("", "xyz", ""), + ("hello", "", "hello"), + ("xyzzyhelloxyzzy", "xyz", "hello"), + ("hello", "xyz", "hello"), + ("xyxz", "xyxz", ""), + ("xyxzx", "x", "yxz"), + (["xyzzyhelloxyzzy", "hello"], ["xyz", "xyz"], + ["hello", "hello"]), + (["bab", "ac", "baab", "bbabb"], "b", ["a", "ac", "aa", "a"]), + ]) + def test_strip(self, a, chars, out, dt): + a = np.array(a, dtype=dt) + if chars is not None: + chars = np.array(chars, dtype=dt) + out = np.array(out, dtype=dt) + assert_array_equal(np.strings.strip(a, chars), out) + + @pytest.mark.parametrize("buf,old,new,count,res", [ + ("", "", "", -1, ""), + ("", "", "A", -1, "A"), + ("", "A", "", -1, ""), + ("", "A", "A", -1, ""), + ("", "", "", 100, ""), + ("", "", "A", 100, "A"), + ("A", "", "", -1, "A"), + ("A", "", "*", -1, "*A*"), + ("A", "", "*1", -1, "*1A*1"), + ("A", "", "*-#", -1, "*-#A*-#"), + ("AA", "", "*-", -1, "*-A*-A*-"), + ("AA", "", "*-", -1, "*-A*-A*-"), + ("AA", "", "*-", 4, "*-A*-A*-"), + ("AA", "", "*-", 3, "*-A*-A*-"), + ("AA", "", "*-", 2, "*-A*-A"), + ("AA", "", "*-", 1, "*-AA"), + ("AA", "", "*-", 0, "AA"), + ("A", "A", "", -1, ""), + ("AAA", "A", "", -1, ""), + ("AAA", "A", "", -1, ""), + ("AAA", "A", "", 4, ""), + ("AAA", "A", "", 3, ""), + ("AAA", "A", "", 2, "A"), + ("AAA", "A", "", 1, "AA"), + ("AAA", "A", "", 0, "AAA"), + ("AAAAAAAAAA", "A", "", -1, ""), + ("ABACADA", "A", "", -1, "BCD"), + ("ABACADA", "A", "", -1, "BCD"), + ("ABACADA", "A", "", 5, "BCD"), + ("ABACADA", "A", "", 4, "BCD"), + ("ABACADA", "A", "", 3, "BCDA"), + ("ABACADA", "A", "", 2, "BCADA"), + ("ABACADA", "A", "", 1, "BACADA"), + ("ABACADA", "A", "", 0, "ABACADA"), + ("ABCAD", "A", "", -1, "BCD"), + ("ABCADAA", "A", "", -1, "BCD"), + ("BCD", "A", "", -1, "BCD"), + ("*************", "A", "", -1, "*************"), + ("^"+"A"*1000+"^", "A", "", 999, "^A^"), + ("the", "the", "", -1, ""), + ("theater", "the", "", -1, "ater"), + ("thethe", "the", "", -1, ""), + ("thethethethe", "the", "", -1, ""), + ("theatheatheathea", "the", "", -1, "aaaa"), + ("that", "the", "", -1, "that"), + ("thaet", "the", "", -1, "thaet"), + ("here and there", "the", "", -1, "here and re"), + ("here and there and there", "the", "", -1, "here and re and re"), + ("here and there and there", "the", "", 3, "here and re and re"), + ("here and there and there", "the", "", 2, "here and re and re"), + ("here and there and there", "the", "", 1, "here and re and there"), + ("here and there and there", "the", "", 0, "here and there and there"), + ("here and there and there", "the", "", -1, "here and re and re"), + ("abc", "the", "", -1, "abc"), + ("abcdefg", "the", "", -1, "abcdefg"), + ("bbobob", "bob", "", -1, "bob"), + ("bbobobXbbobob", "bob", "", -1, "bobXbob"), + ("aaaaaaabob", "bob", "", -1, "aaaaaaa"), + ("aaaaaaa", "bob", "", -1, "aaaaaaa"), + ("Who goes there?", "o", "o", -1, "Who goes there?"), + ("Who goes there?", "o", "O", -1, "WhO gOes there?"), + ("Who goes there?", "o", "O", -1, "WhO gOes there?"), + ("Who goes there?", "o", "O", 3, "WhO gOes there?"), + ("Who goes there?", "o", "O", 2, "WhO gOes there?"), + ("Who goes there?", "o", "O", 1, "WhO goes there?"), + ("Who goes there?", "o", "O", 0, "Who goes there?"), + ("Who goes there?", "a", "q", -1, "Who goes there?"), + ("Who goes there?", "W", "w", -1, "who goes there?"), + ("WWho goes there?WW", "W", "w", -1, "wwho goes there?ww"), + ("Who goes there?", "?", "!", -1, "Who goes there!"), + ("Who goes there??", "?", "!", -1, "Who goes there!!"), + ("Who goes there?", ".", "!", -1, "Who goes there?"), + ("This is a tissue", "is", "**", -1, "Th** ** a t**sue"), + ("This is a tissue", "is", "**", -1, "Th** ** a t**sue"), + ("This is a tissue", "is", "**", 4, "Th** ** a t**sue"), + ("This is a tissue", "is", "**", 3, "Th** ** a t**sue"), + ("This is a tissue", "is", "**", 2, "Th** ** a tissue"), + ("This is a tissue", "is", "**", 1, "Th** is a tissue"), + ("This is a tissue", "is", "**", 0, "This is a tissue"), + ("bobob", "bob", "cob", -1, "cobob"), + ("bobobXbobobob", "bob", "cob", -1, "cobobXcobocob"), + ("bobob", "bot", "bot", -1, "bobob"), + ("Reykjavik", "k", "KK", -1, "ReyKKjaviKK"), + ("Reykjavik", "k", "KK", -1, "ReyKKjaviKK"), + ("Reykjavik", "k", "KK", 2, "ReyKKjaviKK"), + ("Reykjavik", "k", "KK", 1, "ReyKKjavik"), + ("Reykjavik", "k", "KK", 0, "Reykjavik"), + ("A.B.C.", ".", "----", -1, "A----B----C----"), + ("Reykjavik", "q", "KK", -1, "Reykjavik"), + ("spam, spam, eggs and spam", "spam", "ham", -1, + "ham, ham, eggs and ham"), + ("spam, spam, eggs and spam", "spam", "ham", -1, + "ham, ham, eggs and ham"), + ("spam, spam, eggs and spam", "spam", "ham", 4, + "ham, ham, eggs and ham"), + ("spam, spam, eggs and spam", "spam", "ham", 3, + "ham, ham, eggs and ham"), + ("spam, spam, eggs and spam", "spam", "ham", 2, + "ham, ham, eggs and spam"), + ("spam, spam, eggs and spam", "spam", "ham", 1, + "ham, spam, eggs and spam"), + ("spam, spam, eggs and spam", "spam", "ham", 0, + "spam, spam, eggs and spam"), + ("bobobob", "bobob", "bob", -1, "bobob"), + ("bobobobXbobobob", "bobob", "bob", -1, "bobobXbobob"), + ("BOBOBOB", "bob", "bobby", -1, "BOBOBOB"), + ("one!two!three!", "!", "@", 1, "one@two!three!"), + ("one!two!three!", "!", "", -1, "onetwothree"), + ("one!two!three!", "!", "@", 2, "one@two@three!"), + ("one!two!three!", "!", "@", 3, "one@two@three@"), + ("one!two!three!", "!", "@", 4, "one@two@three@"), + ("one!two!three!", "!", "@", 0, "one!two!three!"), + ("one!two!three!", "!", "@", -1, "one@two@three@"), + ("one!two!three!", "x", "@", -1, "one!two!three!"), + ("one!two!three!", "x", "@", 2, "one!two!three!"), + ("abc", "", "-", -1, "-a-b-c-"), + ("abc", "", "-", 3, "-a-b-c"), + ("abc", "", "-", 0, "abc"), + ("abc", "ab", "--", 0, "abc"), + ("abc", "xy", "--", -1, "abc"), + (["abbc", "abbd"], "b", "z", [1, 2], ["azbc", "azzd"]), + ]) + def test_replace(self, buf, old, new, count, res, dt): + if "😊" in buf and dt == "S": + pytest.skip("Bytes dtype does not support non-ascii input") + buf = np.array(buf, dtype=dt) + old = np.array(old, dtype=dt) + new = np.array(new, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.replace(buf, old, new, count), res) + + @pytest.mark.parametrize("buf,sub,start,end,res", [ + ("abcdefghiabc", "", 0, None, 0), + ("abcdefghiabc", "def", 0, None, 3), + ("abcdefghiabc", "abc", 0, None, 0), + ("abcdefghiabc", "abc", 1, None, 9), + ]) + def test_index(self, buf, sub, start, end, res, dt): + buf = np.array(buf, dtype=dt) + sub = np.array(sub, dtype=dt) + assert_array_equal(np.strings.index(buf, sub, start, end), res) + + @pytest.mark.parametrize("buf,sub,start,end", [ + ("abcdefghiabc", "hib", 0, None), + ("abcdefghiab", "abc", 1, None), + ("abcdefghi", "ghi", 8, None), + ("abcdefghi", "ghi", -1, None), + ("rrarrrrrrrrra", "a", 4, 6), + ]) + def test_index_raises(self, buf, sub, start, end, dt): + buf = np.array(buf, dtype=dt) + sub = np.array(sub, dtype=dt) + with pytest.raises(ValueError, match="substring not found"): + np.strings.index(buf, sub, start, end) + + @pytest.mark.parametrize("buf,sub,start,end,res", [ + ("abcdefghiabc", "", 0, None, 12), + ("abcdefghiabc", "def", 0, None, 3), + ("abcdefghiabc", "abc", 0, None, 9), + ("abcdefghiabc", "abc", 0, -1, 0), + ]) + def test_rindex(self, buf, sub, start, end, res, dt): + buf = np.array(buf, dtype=dt) + sub = np.array(sub, dtype=dt) + assert_array_equal(np.strings.rindex(buf, sub, start, end), res) + + @pytest.mark.parametrize("buf,sub,start,end", [ + ("abcdefghiabc", "hib", 0, None), + ("defghiabc", "def", 1, None), + ("defghiabc", "abc", 0, -1), + ("abcdefghi", "ghi", 0, 8), + ("abcdefghi", "ghi", 0, -1), + ("rrarrrrrrrrra", "a", 4, 6), + ]) + def test_rindex_raises(self, buf, sub, start, end, dt): + buf = np.array(buf, dtype=dt) + sub = np.array(sub, dtype=dt) + with pytest.raises(ValueError, match="substring not found"): + np.strings.rindex(buf, sub, start, end) + + @pytest.mark.parametrize("buf,tabsize,res", [ + ("abc\rab\tdef\ng\thi", 8, "abc\rab def\ng hi"), + ("abc\rab\tdef\ng\thi", 4, "abc\rab def\ng hi"), + ("abc\r\nab\tdef\ng\thi", 8, "abc\r\nab def\ng hi"), + ("abc\r\nab\tdef\ng\thi", 4, "abc\r\nab def\ng hi"), + ("abc\r\nab\r\ndef\ng\r\nhi", 4, "abc\r\nab\r\ndef\ng\r\nhi"), + (" \ta\n\tb", 1, " a\n b"), + ]) + def test_expandtabs(self, buf, tabsize, res, dt): + buf = np.array(buf, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.expandtabs(buf, tabsize), res) + + def test_expandtabs_raises_overflow(self, dt): + with pytest.raises(OverflowError, match="new string is too long"): + np.strings.expandtabs(np.array("\ta\n\tb", dtype=dt), sys.maxsize) + np.strings.expandtabs(np.array("\ta\n\tb", dtype=dt), 2**61) + + FILL_ERROR = "The fill character must be exactly one character long" + + def test_center_raises_multiple_character_fill(self, dt): + buf = np.array("abc", dtype=dt) + fill = np.array("**", dtype=dt) + with pytest.raises(TypeError, match=self.FILL_ERROR): + np.strings.center(buf, 10, fill) + + def test_ljust_raises_multiple_character_fill(self, dt): + buf = np.array("abc", dtype=dt) + fill = np.array("**", dtype=dt) + with pytest.raises(TypeError, match=self.FILL_ERROR): + np.strings.ljust(buf, 10, fill) + + def test_rjust_raises_multiple_character_fill(self, dt): + buf = np.array("abc", dtype=dt) + fill = np.array("**", dtype=dt) + with pytest.raises(TypeError, match=self.FILL_ERROR): + np.strings.rjust(buf, 10, fill) + + @pytest.mark.parametrize("buf,width,fillchar,res", [ + ('abc', 10, ' ', ' abc '), + ('abc', 6, ' ', ' abc '), + ('abc', 3, ' ', 'abc'), + ('abc', 2, ' ', 'abc'), + ('abc', 10, '*', '***abc****'), + ]) + def test_center(self, buf, width, fillchar, res, dt): + buf = np.array(buf, dtype=dt) + fillchar = np.array(fillchar, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.center(buf, width, fillchar), res) + + @pytest.mark.parametrize("buf,width,fillchar,res", [ + ('abc', 10, ' ', 'abc '), + ('abc', 6, ' ', 'abc '), + ('abc', 3, ' ', 'abc'), + ('abc', 2, ' ', 'abc'), + ('abc', 10, '*', 'abc*******'), + ]) + def test_ljust(self, buf, width, fillchar, res, dt): + buf = np.array(buf, dtype=dt) + fillchar = np.array(fillchar, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.ljust(buf, width, fillchar), res) + + @pytest.mark.parametrize("buf,width,fillchar,res", [ + ('abc', 10, ' ', ' abc'), + ('abc', 6, ' ', ' abc'), + ('abc', 3, ' ', 'abc'), + ('abc', 2, ' ', 'abc'), + ('abc', 10, '*', '*******abc'), + ]) + def test_rjust(self, buf, width, fillchar, res, dt): + buf = np.array(buf, dtype=dt) + fillchar = np.array(fillchar, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.rjust(buf, width, fillchar), res) + + @pytest.mark.parametrize("buf,width,res", [ + ('123', 2, '123'), + ('123', 3, '123'), + ('0123', 4, '0123'), + ('+123', 3, '+123'), + ('+123', 4, '+123'), + ('+123', 5, '+0123'), + ('+0123', 5, '+0123'), + ('-123', 3, '-123'), + ('-123', 4, '-123'), + ('-0123', 5, '-0123'), + ('000', 3, '000'), + ('34', 1, '34'), + ('0034', 4, '0034'), + ]) + def test_zfill(self, buf, width, res, dt): + buf = np.array(buf, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.zfill(buf, width), res) + + @pytest.mark.parametrize("buf,sep,res1,res2,res3", [ + ("this is the partition method", "ti", "this is the par", + "ti", "tion method"), + ("http://www.python.org", "://", "http", "://", "www.python.org"), + ("http://www.python.org", "?", "http://www.python.org", "", ""), + ("http://www.python.org", "http://", "", "http://", "www.python.org"), + ("http://www.python.org", "org", "http://www.python.", "org", ""), + ("http://www.python.org", ["://", "?", "http://", "org"], + ["http", "http://www.python.org", "", "http://www.python."], + ["://", "", "http://", "org"], + ["www.python.org", "", "www.python.org", ""]), + ("mississippi", "ss", "mi", "ss", "issippi"), + ("mississippi", "i", "m", "i", "ssissippi"), + ("mississippi", "w", "mississippi", "", ""), + ]) + def test_partition(self, buf, sep, res1, res2, res3, dt): + buf = np.array(buf, dtype=dt) + sep = np.array(sep, dtype=dt) + res1 = np.array(res1, dtype=dt) + res2 = np.array(res2, dtype=dt) + res3 = np.array(res3, dtype=dt) + act1, act2, act3 = np.strings.partition(buf, sep) + assert_array_equal(act1, res1) + assert_array_equal(act2, res2) + assert_array_equal(act3, res3) + assert_array_equal(act1 + act2 + act3, buf) + + @pytest.mark.parametrize("buf,sep,res1,res2,res3", [ + ("this is the partition method", "ti", "this is the parti", + "ti", "on method"), + ("http://www.python.org", "://", "http", "://", "www.python.org"), + ("http://www.python.org", "?", "", "", "http://www.python.org"), + ("http://www.python.org", "http://", "", "http://", "www.python.org"), + ("http://www.python.org", "org", "http://www.python.", "org", ""), + ("http://www.python.org", ["://", "?", "http://", "org"], + ["http", "", "", "http://www.python."], + ["://", "", "http://", "org"], + ["www.python.org", "http://www.python.org", "www.python.org", ""]), + ("mississippi", "ss", "missi", "ss", "ippi"), + ("mississippi", "i", "mississipp", "i", ""), + ("mississippi", "w", "", "", "mississippi"), + ]) + def test_rpartition(self, buf, sep, res1, res2, res3, dt): + buf = np.array(buf, dtype=dt) + sep = np.array(sep, dtype=dt) + res1 = np.array(res1, dtype=dt) + res2 = np.array(res2, dtype=dt) + res3 = np.array(res3, dtype=dt) + act1, act2, act3 = np.strings.rpartition(buf, sep) + assert_array_equal(act1, res1) + assert_array_equal(act2, res2) + assert_array_equal(act3, res3) + assert_array_equal(act1 + act2 + act3, buf) + + +@pytest.mark.parametrize("dt", ["U", "T"]) +class TestMethodsWithUnicode: + @pytest.mark.parametrize("in_,out", [ + ("", False), + ("a", False), + ("0", True), + ("\u2460", False), # CIRCLED DIGIT 1 + ("\xbc", False), # VULGAR FRACTION ONE QUARTER + ("\u0660", True), # ARABIC_INDIC DIGIT ZERO + ("012345", True), + ("012345a", False), + (["0", "a"], [True, False]), + ]) + def test_isdecimal_unicode(self, in_, out, dt): + buf = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isdecimal(buf), out) + + @pytest.mark.parametrize("in_,out", [ + ("", False), + ("a", False), + ("0", True), + ("\u2460", True), # CIRCLED DIGIT 1 + ("\xbc", True), # VULGAR FRACTION ONE QUARTER + ("\u0660", True), # ARABIC_INDIC DIGIT ZERO + ("012345", True), + ("012345a", False), + (["0", "a"], [True, False]), + ]) + def test_isnumeric_unicode(self, in_, out, dt): + buf = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isnumeric(buf), out) + + @pytest.mark.parametrize("buf,old,new,count,res", [ + ("...\u043c......<", "<", "<", -1, "...\u043c......<"), + ("Ae¢☃€ 😊" * 2, "A", "B", -1, "Be¢☃€ 😊Be¢☃€ 😊"), + ("Ae¢☃€ 😊" * 2, "😊", "B", -1, "Ae¢☃€ BAe¢☃€ B"), + ]) + def test_replace_unicode(self, buf, old, new, count, res, dt): + buf = np.array(buf, dtype=dt) + old = np.array(old, dtype=dt) + new = np.array(new, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.replace(buf, old, new, count), res) + + @pytest.mark.parametrize("in_", [ + '\U00010401', + '\U00010427', + '\U00010429', + '\U0001044E', + '\U0001D7F6', + '\U00011066', + '\U000104A0', + pytest.param('\U0001F107', marks=pytest.mark.xfail( + sys.platform == 'win32' and IS_PYPY_LT_7_3_16, + reason="PYPY bug in Py_UNICODE_ISALNUM", + strict=True)), + ]) + def test_isalnum_unicode(self, in_, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isalnum(in_), True) + + @pytest.mark.parametrize("in_,out", [ + ('\u1FFc', False), + ('\u2167', False), + ('\U00010401', False), + ('\U00010427', False), + ('\U0001F40D', False), + ('\U0001F46F', False), + ('\u2177', True), + pytest.param('\U00010429', True, marks=pytest.mark.xfail( + sys.platform == 'win32' and IS_PYPY_LT_7_3_16, + reason="PYPY bug in Py_UNICODE_ISLOWER", + strict=True)), + ('\U0001044E', True), + ]) + def test_islower_unicode(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.islower(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ('\u1FFc', False), + ('\u2167', True), + ('\U00010401', True), + ('\U00010427', True), + ('\U0001F40D', False), + ('\U0001F46F', False), + ('\u2177', False), + pytest.param('\U00010429', False, marks=pytest.mark.xfail( + sys.platform == 'win32' and IS_PYPY_LT_7_3_16, + reason="PYPY bug in Py_UNICODE_ISUPPER", + strict=True)), + ('\U0001044E', False), + ]) + def test_isupper_unicode(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.isupper(in_), out) + + @pytest.mark.parametrize("in_,out", [ + ('\u1FFc', True), + ('Greek \u1FFcitlecases ...', True), + pytest.param('\U00010401\U00010429', True, marks=pytest.mark.xfail( + sys.platform == 'win32' and IS_PYPY_LT_7_3_16, + reason="PYPY bug in Py_UNICODE_ISISTITLE", + strict=True)), + ('\U00010427\U0001044E', True), + pytest.param('\U00010429', False, marks=pytest.mark.xfail( + sys.platform == 'win32' and IS_PYPY_LT_7_3_16, + reason="PYPY bug in Py_UNICODE_ISISTITLE", + strict=True)), + ('\U0001044E', False), + ('\U0001F40D', False), + ('\U0001F46F', False), + ]) + def test_istitle_unicode(self, in_, out, dt): + in_ = np.array(in_, dtype=dt) + assert_array_equal(np.strings.istitle(in_), out) + + @pytest.mark.parametrize("buf,sub,start,end,res", [ + ("Ae¢☃€ 😊" * 2, "😊", 0, None, 6), + ("Ae¢☃€ 😊" * 2, "😊", 7, None, 13), + ]) + def test_index_unicode(self, buf, sub, start, end, res, dt): + buf = np.array(buf, dtype=dt) + sub = np.array(sub, dtype=dt) + assert_array_equal(np.strings.index(buf, sub, start, end), res) + + def test_index_raises_unicode(self, dt): + with pytest.raises(ValueError, match="substring not found"): + np.strings.index("Ae¢☃€ 😊", "😀") + + @pytest.mark.parametrize("buf,res", [ + ("Ae¢☃€ \t 😊", "Ae¢☃€ 😊"), + ("\t\U0001044E", " \U0001044E"), + ]) + def test_expandtabs(self, buf, res, dt): + buf = np.array(buf, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.expandtabs(buf), res) + + @pytest.mark.parametrize("buf,width,fillchar,res", [ + ('x', 2, '\U0001044E', 'x\U0001044E'), + ('x', 3, '\U0001044E', '\U0001044Ex\U0001044E'), + ('x', 4, '\U0001044E', '\U0001044Ex\U0001044E\U0001044E'), + ]) + def test_center(self, buf, width, fillchar, res, dt): + buf = np.array(buf, dtype=dt) + fillchar = np.array(fillchar, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.center(buf, width, fillchar), res) + + @pytest.mark.parametrize("buf,width,fillchar,res", [ + ('x', 2, '\U0001044E', 'x\U0001044E'), + ('x', 3, '\U0001044E', 'x\U0001044E\U0001044E'), + ('x', 4, '\U0001044E', 'x\U0001044E\U0001044E\U0001044E'), + ]) + def test_ljust(self, buf, width, fillchar, res, dt): + buf = np.array(buf, dtype=dt) + fillchar = np.array(fillchar, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.ljust(buf, width, fillchar), res) + + @pytest.mark.parametrize("buf,width,fillchar,res", [ + ('x', 2, '\U0001044E', '\U0001044Ex'), + ('x', 3, '\U0001044E', '\U0001044E\U0001044Ex'), + ('x', 4, '\U0001044E', '\U0001044E\U0001044E\U0001044Ex'), + ]) + def test_rjust(self, buf, width, fillchar, res, dt): + buf = np.array(buf, dtype=dt) + fillchar = np.array(fillchar, dtype=dt) + res = np.array(res, dtype=dt) + assert_array_equal(np.strings.rjust(buf, width, fillchar), res) + + @pytest.mark.parametrize("buf,sep,res1,res2,res3", [ + ("āāāāĀĀĀĀ", "Ă", "āāāāĀĀĀĀ", "", ""), + ("āāāāĂĀĀĀĀ", "Ă", "āāāā", "Ă", "ĀĀĀĀ"), + ("āāāāĂĂĀĀĀĀ", "ĂĂ", "āāāā", "ĂĂ", "ĀĀĀĀ"), + ("𐌁𐌁𐌁𐌁𐌀𐌀𐌀𐌀", "𐌂", "𐌁𐌁𐌁𐌁𐌀𐌀𐌀𐌀", "", ""), + ("𐌁𐌁𐌁𐌁𐌂𐌀𐌀𐌀𐌀", "𐌂", "𐌁𐌁𐌁𐌁", "𐌂", "𐌀𐌀𐌀𐌀"), + ("𐌁𐌁𐌁𐌁𐌂𐌂𐌀𐌀𐌀𐌀", "𐌂𐌂", "𐌁𐌁𐌁𐌁", "𐌂𐌂", "𐌀𐌀𐌀𐌀"), + ("𐌁𐌁𐌁𐌁𐌂𐌂𐌂𐌂𐌀𐌀𐌀𐌀", "𐌂𐌂𐌂𐌂", "𐌁𐌁𐌁𐌁", "𐌂𐌂𐌂𐌂", "𐌀𐌀𐌀𐌀"), + ]) + def test_partition(self, buf, sep, res1, res2, res3, dt): + buf = np.array(buf, dtype=dt) + sep = np.array(sep, dtype=dt) + res1 = np.array(res1, dtype=dt) + res2 = np.array(res2, dtype=dt) + res3 = np.array(res3, dtype=dt) + act1, act2, act3 = np.strings.partition(buf, sep) + assert_array_equal(act1, res1) + assert_array_equal(act2, res2) + assert_array_equal(act3, res3) + assert_array_equal(act1 + act2 + act3, buf) + + @pytest.mark.parametrize("buf,sep,res1,res2,res3", [ + ("āāāāĀĀĀĀ", "Ă", "", "", "āāāāĀĀĀĀ"), + ("āāāāĂĀĀĀĀ", "Ă", "āāāā", "Ă", "ĀĀĀĀ"), + ("āāāāĂĂĀĀĀĀ", "ĂĂ", "āāāā", "ĂĂ", "ĀĀĀĀ"), + ("𐌁𐌁𐌁𐌁𐌀𐌀𐌀𐌀", "𐌂", "", "", "𐌁𐌁𐌁𐌁𐌀𐌀𐌀𐌀"), + ("𐌁𐌁𐌁𐌁𐌂𐌀𐌀𐌀𐌀", "𐌂", "𐌁𐌁𐌁𐌁", "𐌂", "𐌀𐌀𐌀𐌀"), + ("𐌁𐌁𐌁𐌁𐌂𐌂𐌀𐌀𐌀𐌀", "𐌂𐌂", "𐌁𐌁𐌁𐌁", "𐌂𐌂", "𐌀𐌀𐌀𐌀"), + ]) + def test_rpartition(self, buf, sep, res1, res2, res3, dt): + buf = np.array(buf, dtype=dt) + sep = np.array(sep, dtype=dt) + res1 = np.array(res1, dtype=dt) + res2 = np.array(res2, dtype=dt) + res3 = np.array(res3, dtype=dt) + act1, act2, act3 = np.strings.rpartition(buf, sep) + assert_array_equal(act1, res1) + assert_array_equal(act2, res2) + assert_array_equal(act3, res3) + assert_array_equal(act1 + act2 + act3, buf) + + @pytest.mark.parametrize("method", ["strip", "lstrip", "rstrip"]) + @pytest.mark.parametrize( + "source,strip", + [ + ("λμ", "μ"), + ("λμ", "λ"), + ("λ"*5 + "μ"*2, "μ"), + ("λ" * 5 + "μ" * 2, "λ"), + ("λ" * 5 + "A" + "μ" * 2, "μλ"), + ("λμ" * 5, "μ"), + ("λμ" * 5, "λ"), + ]) + def test_strip_functions_unicode(self, source, strip, method, dt): + src_array = np.array([source], dtype=dt) + + npy_func = getattr(np.strings, method) + py_func = getattr(str, method) + + expected = np.array([py_func(source, strip)], dtype=dt) + actual = npy_func(src_array, strip) + + assert_array_equal(actual, expected) + + +class TestMixedTypeMethods: + def test_center(self): + buf = np.array("😊", dtype="U") + fill = np.array("*", dtype="S") + res = np.array("*😊*", dtype="U") + assert_array_equal(np.strings.center(buf, 3, fill), res) + + buf = np.array("s", dtype="S") + fill = np.array("*", dtype="U") + res = np.array("*s*", dtype="S") + assert_array_equal(np.strings.center(buf, 3, fill), res) + + with pytest.raises(ValueError, match="'ascii' codec can't encode"): + buf = np.array("s", dtype="S") + fill = np.array("😊", dtype="U") + np.strings.center(buf, 3, fill) + + def test_ljust(self): + buf = np.array("😊", dtype="U") + fill = np.array("*", dtype="S") + res = np.array("😊**", dtype="U") + assert_array_equal(np.strings.ljust(buf, 3, fill), res) + + buf = np.array("s", dtype="S") + fill = np.array("*", dtype="U") + res = np.array("s**", dtype="S") + assert_array_equal(np.strings.ljust(buf, 3, fill), res) + + with pytest.raises(ValueError, match="'ascii' codec can't encode"): + buf = np.array("s", dtype="S") + fill = np.array("😊", dtype="U") + np.strings.ljust(buf, 3, fill) + + def test_rjust(self): + buf = np.array("😊", dtype="U") + fill = np.array("*", dtype="S") + res = np.array("**😊", dtype="U") + assert_array_equal(np.strings.rjust(buf, 3, fill), res) + + buf = np.array("s", dtype="S") + fill = np.array("*", dtype="U") + res = np.array("**s", dtype="S") + assert_array_equal(np.strings.rjust(buf, 3, fill), res) + + with pytest.raises(ValueError, match="'ascii' codec can't encode"): + buf = np.array("s", dtype="S") + fill = np.array("😊", dtype="U") + np.strings.rjust(buf, 3, fill) + + +class TestUnicodeOnlyMethodsRaiseWithBytes: + def test_isdecimal_raises(self): + in_ = np.array(b"1") + with assert_raises(TypeError): + np.strings.isdecimal(in_) + + def test_isnumeric_bytes(self): + in_ = np.array(b"1") + with assert_raises(TypeError): + np.strings.isnumeric(in_) + + +def check_itemsize(n_elem, dt): + if dt == "T": + return np.dtype(dt).itemsize + if dt == "S": + return n_elem + if dt == "U": + return n_elem * 4 + +@pytest.mark.parametrize("dt", ["S", "U", "T"]) +class TestReplaceOnArrays: + + def test_replace_count_and_size(self, dt): + a = np.array(["0123456789" * i for i in range(4)], dtype=dt) + r1 = np.strings.replace(a, "5", "ABCDE") + assert r1.dtype.itemsize == check_itemsize(3*10 + 3*4, dt) + r1_res = np.array(["01234ABCDE6789" * i for i in range(4)], dtype=dt) + assert_array_equal(r1, r1_res) + r2 = np.strings.replace(a, "5", "ABCDE", 1) + assert r2.dtype.itemsize == check_itemsize(3*10 + 4, dt) + r3 = np.strings.replace(a, "5", "ABCDE", 0) + assert r3.dtype.itemsize == a.dtype.itemsize + assert_array_equal(r3, a) + # Negative values mean to replace all. + r4 = np.strings.replace(a, "5", "ABCDE", -1) + assert r4.dtype.itemsize == check_itemsize(3*10 + 3*4, dt) + assert_array_equal(r4, r1) + # We can do count on an element-by-element basis. + r5 = np.strings.replace(a, "5", "ABCDE", [-1, -1, -1, 1]) + assert r5.dtype.itemsize == check_itemsize(3*10 + 4, dt) + assert_array_equal(r5, np.array( + ["01234ABCDE6789" * i for i in range(3)] + + ["01234ABCDE6789" + "0123456789" * 2], dtype=dt)) + + def test_replace_broadcasting(self, dt): + a = np.array("0,0,0", dtype=dt) + r1 = np.strings.replace(a, "0", "1", np.arange(3)) + assert r1.dtype == a.dtype + assert_array_equal(r1, np.array(["0,0,0", "1,0,0", "1,1,0"], dtype=dt)) + r2 = np.strings.replace(a, "0", [["1"], ["2"]], np.arange(1, 4)) + assert_array_equal(r2, np.array([["1,0,0", "1,1,0", "1,1,1"], + ["2,0,0", "2,2,0", "2,2,2"]], + dtype=dt)) + r3 = np.strings.replace(a, ["0", "0,0", "0,0,0"], "X") + assert_array_equal(r3, np.array(["X,X,X", "X,0", "X"], dtype=dt)) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_ufunc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_ufunc.py new file mode 100644 index 0000000000000000000000000000000000000000..7ca2f21df36393084ccb52745bd44cc251496170 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_ufunc.py @@ -0,0 +1,3201 @@ +import warnings +import itertools +import sys +import ctypes as ct +import pickle + +import pytest +from pytest import param + +import numpy as np +import numpy._core.umath as ncu +import numpy._core._umath_tests as umt +import numpy.linalg._umath_linalg as uml +import numpy._core._operand_flag_tests as opflag_tests +import numpy._core._rational_tests as _rational_tests +from numpy.exceptions import AxisError +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_array_equal, + assert_almost_equal, assert_array_almost_equal, assert_no_warnings, + assert_allclose, HAS_REFCOUNT, suppress_warnings, IS_WASM, IS_PYPY, + ) +from numpy.testing._private.utils import requires_memory + + +UNARY_UFUNCS = [obj for obj in np._core.umath.__dict__.values() + if isinstance(obj, np.ufunc)] +UNARY_OBJECT_UFUNCS = [uf for uf in UNARY_UFUNCS if "O->O" in uf.types] + +# Remove functions that do not support `floats` +UNARY_OBJECT_UFUNCS.remove(np.bitwise_count) + + +class TestUfuncKwargs: + def test_kwarg_exact(self): + assert_raises(TypeError, np.add, 1, 2, castingx='safe') + assert_raises(TypeError, np.add, 1, 2, dtypex=int) + assert_raises(TypeError, np.add, 1, 2, extobjx=[4096]) + assert_raises(TypeError, np.add, 1, 2, outx=None) + assert_raises(TypeError, np.add, 1, 2, sigx='ii->i') + assert_raises(TypeError, np.add, 1, 2, signaturex='ii->i') + assert_raises(TypeError, np.add, 1, 2, subokx=False) + assert_raises(TypeError, np.add, 1, 2, wherex=[True]) + + def test_sig_signature(self): + assert_raises(TypeError, np.add, 1, 2, sig='ii->i', + signature='ii->i') + + def test_sig_dtype(self): + assert_raises(TypeError, np.add, 1, 2, sig='ii->i', + dtype=int) + assert_raises(TypeError, np.add, 1, 2, signature='ii->i', + dtype=int) + + def test_extobj_removed(self): + assert_raises(TypeError, np.add, 1, 2, extobj=[4096]) + + +class TestUfuncGenericLoops: + """Test generic loops. + + The loops to be tested are: + + PyUFunc_ff_f_As_dd_d + PyUFunc_ff_f + PyUFunc_dd_d + PyUFunc_gg_g + PyUFunc_FF_F_As_DD_D + PyUFunc_DD_D + PyUFunc_FF_F + PyUFunc_GG_G + PyUFunc_OO_O + PyUFunc_OO_O_method + PyUFunc_f_f_As_d_d + PyUFunc_d_d + PyUFunc_f_f + PyUFunc_g_g + PyUFunc_F_F_As_D_D + PyUFunc_F_F + PyUFunc_D_D + PyUFunc_G_G + PyUFunc_O_O + PyUFunc_O_O_method + PyUFunc_On_Om + + Where: + + f -- float + d -- double + g -- long double + F -- complex float + D -- complex double + G -- complex long double + O -- python object + + It is difficult to assure that each of these loops is entered from the + Python level as the special cased loops are a moving target and the + corresponding types are architecture dependent. We probably need to + define C level testing ufuncs to get at them. For the time being, I've + just looked at the signatures registered in the build directory to find + relevant functions. + + """ + np_dtypes = [ + (np.single, np.single), (np.single, np.double), + (np.csingle, np.csingle), (np.csingle, np.cdouble), + (np.double, np.double), (np.longdouble, np.longdouble), + (np.cdouble, np.cdouble), (np.clongdouble, np.clongdouble)] + + @pytest.mark.parametrize('input_dtype,output_dtype', np_dtypes) + def test_unary_PyUFunc(self, input_dtype, output_dtype, f=np.exp, x=0, y=1): + xs = np.full(10, input_dtype(x), dtype=output_dtype) + ys = f(xs)[::2] + assert_allclose(ys, y) + assert_equal(ys.dtype, output_dtype) + + def f2(x, y): + return x**y + + @pytest.mark.parametrize('input_dtype,output_dtype', np_dtypes) + def test_binary_PyUFunc(self, input_dtype, output_dtype, f=f2, x=0, y=1): + xs = np.full(10, input_dtype(x), dtype=output_dtype) + ys = f(xs, xs)[::2] + assert_allclose(ys, y) + assert_equal(ys.dtype, output_dtype) + + # class to use in testing object method loops + class foo: + def conjugate(self): + return np.bool(1) + + def logical_xor(self, obj): + return np.bool(1) + + def test_unary_PyUFunc_O_O(self): + x = np.ones(10, dtype=object) + assert_(np.all(np.abs(x) == 1)) + + def test_unary_PyUFunc_O_O_method_simple(self, foo=foo): + x = np.full(10, foo(), dtype=object) + assert_(np.all(np.conjugate(x) == True)) + + def test_binary_PyUFunc_OO_O(self): + x = np.ones(10, dtype=object) + assert_(np.all(np.add(x, x) == 2)) + + def test_binary_PyUFunc_OO_O_method(self, foo=foo): + x = np.full(10, foo(), dtype=object) + assert_(np.all(np.logical_xor(x, x))) + + def test_binary_PyUFunc_On_Om_method(self, foo=foo): + x = np.full((10, 2, 3), foo(), dtype=object) + assert_(np.all(np.logical_xor(x, x))) + + def test_python_complex_conjugate(self): + # The conjugate ufunc should fall back to calling the method: + arr = np.array([1+2j, 3-4j], dtype="O") + assert isinstance(arr[0], complex) + res = np.conjugate(arr) + assert res.dtype == np.dtype("O") + assert_array_equal(res, np.array([1-2j, 3+4j], dtype="O")) + + @pytest.mark.parametrize("ufunc", UNARY_OBJECT_UFUNCS) + def test_unary_PyUFunc_O_O_method_full(self, ufunc): + """Compare the result of the object loop with non-object one""" + val = np.float64(np.pi/4) + + class MyFloat(np.float64): + def __getattr__(self, attr): + try: + return super().__getattr__(attr) + except AttributeError: + return lambda: getattr(np._core.umath, attr)(val) + + # Use 0-D arrays, to ensure the same element call + num_arr = np.array(val, dtype=np.float64) + obj_arr = np.array(MyFloat(val), dtype="O") + + with np.errstate(all="raise"): + try: + res_num = ufunc(num_arr) + except Exception as exc: + with assert_raises(type(exc)): + ufunc(obj_arr) + else: + res_obj = ufunc(obj_arr) + assert_array_almost_equal(res_num.astype("O"), res_obj) + + +def _pickleable_module_global(): + pass + + +class TestUfunc: + def test_pickle(self): + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + assert_(pickle.loads(pickle.dumps(np.sin, + protocol=proto)) is np.sin) + + # Check that ufunc not defined in the top level numpy namespace + # such as numpy._core._rational_tests.test_add can also be pickled + res = pickle.loads(pickle.dumps(_rational_tests.test_add, + protocol=proto)) + assert_(res is _rational_tests.test_add) + + def test_pickle_withstring(self): + astring = (b"cnumpy.core\n_ufunc_reconstruct\np0\n" + b"(S'numpy._core.umath'\np1\nS'cos'\np2\ntp3\nRp4\n.") + assert_(pickle.loads(astring) is np.cos) + + @pytest.mark.skipif(IS_PYPY, reason="'is' check does not work on PyPy") + def test_pickle_name_is_qualname(self): + # This tests that a simplification of our ufunc pickle code will + # lead to allowing qualnames as names. Future ufuncs should + # possible add a specific qualname, or a hook into pickling instead + # (dask+numba may benefit). + _pickleable_module_global.ufunc = umt._pickleable_module_global_ufunc + + obj = pickle.loads(pickle.dumps(_pickleable_module_global.ufunc)) + assert obj is umt._pickleable_module_global_ufunc + + def test_reduceat_shifting_sum(self): + L = 6 + x = np.arange(L) + idx = np.array(list(zip(np.arange(L - 2), np.arange(L - 2) + 2))).ravel() + assert_array_equal(np.add.reduceat(x, idx)[::2], [1, 3, 5, 7]) + + def test_all_ufunc(self): + """Try to check presence and results of all ufuncs. + + The list of ufuncs comes from generate_umath.py and is as follows: + + ===== ==== ============= =============== ======================== + done args function types notes + ===== ==== ============= =============== ======================== + n 1 conjugate nums + O + n 1 absolute nums + O complex -> real + n 1 negative nums + O + n 1 sign nums + O -> int + n 1 invert bool + ints + O flts raise an error + n 1 degrees real + M cmplx raise an error + n 1 radians real + M cmplx raise an error + n 1 arccos flts + M + n 1 arccosh flts + M + n 1 arcsin flts + M + n 1 arcsinh flts + M + n 1 arctan flts + M + n 1 arctanh flts + M + n 1 cos flts + M + n 1 sin flts + M + n 1 tan flts + M + n 1 cosh flts + M + n 1 sinh flts + M + n 1 tanh flts + M + n 1 exp flts + M + n 1 expm1 flts + M + n 1 log flts + M + n 1 log10 flts + M + n 1 log1p flts + M + n 1 sqrt flts + M real x < 0 raises error + n 1 ceil real + M + n 1 trunc real + M + n 1 floor real + M + n 1 fabs real + M + n 1 rint flts + M + n 1 isnan flts -> bool + n 1 isinf flts -> bool + n 1 isfinite flts -> bool + n 1 signbit real -> bool + n 1 modf real -> (frac, int) + n 1 logical_not bool + nums + M -> bool + n 2 left_shift ints + O flts raise an error + n 2 right_shift ints + O flts raise an error + n 2 add bool + nums + O boolean + is || + n 2 subtract bool + nums + O boolean - is ^ + n 2 multiply bool + nums + O boolean * is & + n 2 divide nums + O + n 2 floor_divide nums + O + n 2 true_divide nums + O bBhH -> f, iIlLqQ -> d + n 2 fmod nums + M + n 2 power nums + O + n 2 greater bool + nums + O -> bool + n 2 greater_equal bool + nums + O -> bool + n 2 less bool + nums + O -> bool + n 2 less_equal bool + nums + O -> bool + n 2 equal bool + nums + O -> bool + n 2 not_equal bool + nums + O -> bool + n 2 logical_and bool + nums + M -> bool + n 2 logical_or bool + nums + M -> bool + n 2 logical_xor bool + nums + M -> bool + n 2 maximum bool + nums + O + n 2 minimum bool + nums + O + n 2 bitwise_and bool + ints + O flts raise an error + n 2 bitwise_or bool + ints + O flts raise an error + n 2 bitwise_xor bool + ints + O flts raise an error + n 2 arctan2 real + M + n 2 remainder ints + real + O + n 2 hypot real + M + ===== ==== ============= =============== ======================== + + Types other than those listed will be accepted, but they are cast to + the smallest compatible type for which the function is defined. The + casting rules are: + + bool -> int8 -> float32 + ints -> double + + """ + pass + + # from include/numpy/ufuncobject.h + size_inferred = 2 + can_ignore = 4 + def test_signature0(self): + # the arguments to test_signature are: nin, nout, core_signature + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(i),(i)->()") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 1, 0)) + assert_equal(ixs, (0, 0)) + assert_equal(flags, (self.size_inferred,)) + assert_equal(sizes, (-1,)) + + def test_signature1(self): + # empty core signature; treat as plain ufunc (with trivial core) + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(),()->()") + assert_equal(enabled, 0) + assert_equal(num_dims, (0, 0, 0)) + assert_equal(ixs, ()) + assert_equal(flags, ()) + assert_equal(sizes, ()) + + def test_signature2(self): + # more complicated names for variables + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(i1,i2),(J_1)->(_kAB)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 1, 1)) + assert_equal(ixs, (0, 1, 2, 3)) + assert_equal(flags, (self.size_inferred,)*4) + assert_equal(sizes, (-1, -1, -1, -1)) + + def test_signature3(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(i1, i12), (J_1)->(i12, i2)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 1, 2)) + assert_equal(ixs, (0, 1, 2, 1, 3)) + assert_equal(flags, (self.size_inferred,)*4) + assert_equal(sizes, (-1, -1, -1, -1)) + + def test_signature4(self): + # matrix_multiply signature from _umath_tests + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(n,k),(k,m)->(n,m)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 2, 2)) + assert_equal(ixs, (0, 1, 1, 2, 0, 2)) + assert_equal(flags, (self.size_inferred,)*3) + assert_equal(sizes, (-1, -1, -1)) + + def test_signature5(self): + # matmul signature from _umath_tests + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(n?,k),(k,m?)->(n?,m?)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 2, 2)) + assert_equal(ixs, (0, 1, 1, 2, 0, 2)) + assert_equal(flags, (self.size_inferred | self.can_ignore, + self.size_inferred, + self.size_inferred | self.can_ignore)) + assert_equal(sizes, (-1, -1, -1)) + + def test_signature6(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 1, 1, "(3)->()") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 0)) + assert_equal(ixs, (0,)) + assert_equal(flags, (0,)) + assert_equal(sizes, (3,)) + + def test_signature7(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 3, 1, "(3),(03,3),(n)->(9)") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 2, 1, 1)) + assert_equal(ixs, (0, 0, 0, 1, 2)) + assert_equal(flags, (0, self.size_inferred, 0)) + assert_equal(sizes, (3, -1, 9)) + + def test_signature8(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 3, 1, "(3?),(3?,3?),(n)->(9)") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 2, 1, 1)) + assert_equal(ixs, (0, 0, 0, 1, 2)) + assert_equal(flags, (self.can_ignore, self.size_inferred, 0)) + assert_equal(sizes, (3, -1, 9)) + + def test_signature9(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 1, 1, "( 3) -> ( )") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 0)) + assert_equal(ixs, (0,)) + assert_equal(flags, (0,)) + assert_equal(sizes, (3,)) + + def test_signature10(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 3, 1, "( 3? ) , (3? , 3?) ,(n )-> ( 9)") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 2, 1, 1)) + assert_equal(ixs, (0, 0, 0, 1, 2)) + assert_equal(flags, (self.can_ignore, self.size_inferred, 0)) + assert_equal(sizes, (3, -1, 9)) + + def test_signature_failure_extra_parenthesis(self): + with assert_raises(ValueError): + umt.test_signature(2, 1, "((i)),(i)->()") + + def test_signature_failure_mismatching_parenthesis(self): + with assert_raises(ValueError): + umt.test_signature(2, 1, "(i),)i(->()") + + def test_signature_failure_signature_missing_input_arg(self): + with assert_raises(ValueError): + umt.test_signature(2, 1, "(i),->()") + + def test_signature_failure_signature_missing_output_arg(self): + with assert_raises(ValueError): + umt.test_signature(2, 2, "(i),(i)->()") + + def test_get_signature(self): + assert_equal(np.vecdot.signature, "(n),(n)->()") + + def test_forced_sig(self): + a = 0.5*np.arange(3, dtype='f8') + assert_equal(np.add(a, 0.5), [0.5, 1, 1.5]) + with pytest.warns(DeprecationWarning): + assert_equal(np.add(a, 0.5, sig='i', casting='unsafe'), [0, 0, 1]) + assert_equal(np.add(a, 0.5, sig='ii->i', casting='unsafe'), [0, 0, 1]) + with pytest.warns(DeprecationWarning): + assert_equal(np.add(a, 0.5, sig=('i4',), casting='unsafe'), + [0, 0, 1]) + assert_equal(np.add(a, 0.5, sig=('i4', 'i4', 'i4'), + casting='unsafe'), [0, 0, 1]) + + b = np.zeros((3,), dtype='f8') + np.add(a, 0.5, out=b) + assert_equal(b, [0.5, 1, 1.5]) + b[:] = 0 + with pytest.warns(DeprecationWarning): + np.add(a, 0.5, sig='i', out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + b[:] = 0 + np.add(a, 0.5, sig='ii->i', out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + b[:] = 0 + with pytest.warns(DeprecationWarning): + np.add(a, 0.5, sig=('i4',), out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + b[:] = 0 + np.add(a, 0.5, sig=('i4', 'i4', 'i4'), out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + + def test_signature_all_None(self): + # signature all None, is an acceptable alternative (since 1.21) + # to not providing a signature. + res1 = np.add([3], [4], sig=(None, None, None)) + res2 = np.add([3], [4]) + assert_array_equal(res1, res2) + res1 = np.maximum([3], [4], sig=(None, None, None)) + res2 = np.maximum([3], [4]) + assert_array_equal(res1, res2) + + with pytest.raises(TypeError): + # special case, that would be deprecated anyway, so errors: + np.add(3, 4, signature=(None,)) + + def test_signature_dtype_type(self): + # Since that will be the normal behaviour (past NumPy 1.21) + # we do support the types already: + float_dtype = type(np.dtype(np.float64)) + np.add(3, 4, signature=(float_dtype, float_dtype, None)) + + @pytest.mark.parametrize("get_kwarg", [ + lambda dt: dict(dtype=dt), + lambda dt: dict(signature=(dt, None, None))]) + def test_signature_dtype_instances_allowed(self, get_kwarg): + # We allow certain dtype instances when there is a clear singleton + # and the given one is equivalent; mainly for backcompat. + int64 = np.dtype("int64") + int64_2 = pickle.loads(pickle.dumps(int64)) + # Relies on pickling behavior, if assert fails just remove test... + assert int64 is not int64_2 + + assert np.add(1, 2, **get_kwarg(int64_2)).dtype == int64 + td = np.timedelta(2, "s") + assert np.add(td, td, **get_kwarg("m8")).dtype == "m8[s]" + + @pytest.mark.parametrize("get_kwarg", [ + param(lambda x: dict(dtype=x), id="dtype"), + param(lambda x: dict(signature=(x, None, None)), id="signature")]) + def test_signature_dtype_instances_allowed(self, get_kwarg): + msg = "The `dtype` and `signature` arguments to ufuncs" + + with pytest.raises(TypeError, match=msg): + np.add(3, 5, **get_kwarg(np.dtype("int64").newbyteorder())) + with pytest.raises(TypeError, match=msg): + np.add(3, 5, **get_kwarg(np.dtype("m8[ns]"))) + with pytest.raises(TypeError, match=msg): + np.add(3, 5, **get_kwarg("m8[ns]")) + + @pytest.mark.parametrize("casting", ["unsafe", "same_kind", "safe"]) + def test_partial_signature_mismatch(self, casting): + # If the second argument matches already, no need to specify it: + res = np.ldexp(np.float32(1.), np.int_(2), dtype="d") + assert res.dtype == "d" + res = np.ldexp(np.float32(1.), np.int_(2), signature=(None, None, "d")) + assert res.dtype == "d" + + # ldexp only has a loop for long input as second argument, overriding + # the output cannot help with that (no matter the casting) + with pytest.raises(TypeError): + np.ldexp(1., np.uint64(3), dtype="d") + with pytest.raises(TypeError): + np.ldexp(1., np.uint64(3), signature=(None, None, "d")) + + def test_partial_signature_mismatch_with_cache(self): + with pytest.raises(TypeError): + np.add(np.float16(1), np.uint64(2), sig=("e", "d", None)) + # Ensure e,d->None is in the dispatching cache (double loop) + np.add(np.float16(1), np.float64(2)) + # The error must still be raised: + with pytest.raises(TypeError): + np.add(np.float16(1), np.uint64(2), sig=("e", "d", None)) + + def test_use_output_signature_for_all_arguments(self): + # Test that providing only `dtype=` or `signature=(None, None, dtype)` + # is sufficient if falling back to a homogeneous signature works. + # In this case, the `intp, intp -> intp` loop is chosen. + res = np.power(1.5, 2.8, dtype=np.intp, casting="unsafe") + assert res == 1 # the cast happens first. + res = np.power(1.5, 2.8, signature=(None, None, np.intp), + casting="unsafe") + assert res == 1 + with pytest.raises(TypeError): + # the unsafe casting would normally cause errors though: + np.power(1.5, 2.8, dtype=np.intp) + + def test_signature_errors(self): + with pytest.raises(TypeError, + match="the signature object to ufunc must be a string or"): + np.add(3, 4, signature=123.) # neither a string nor a tuple + + with pytest.raises(ValueError): + # bad symbols that do not translate to dtypes + np.add(3, 4, signature="%^->#") + + with pytest.raises(ValueError): + np.add(3, 4, signature=b"ii-i") # incomplete and byte string + + with pytest.raises(ValueError): + np.add(3, 4, signature="ii>i") # incomplete string + + with pytest.raises(ValueError): + np.add(3, 4, signature=(None, "f8")) # bad length + + with pytest.raises(UnicodeDecodeError): + np.add(3, 4, signature=b"\xff\xff->i") + + def test_forced_dtype_times(self): + # Signatures only set the type numbers (not the actual loop dtypes) + # so using `M` in a signature/dtype should generally work: + a = np.array(['2010-01-02', '1999-03-14', '1833-03'], dtype='>M8[D]') + np.maximum(a, a, dtype="M") + np.maximum.reduce(a, dtype="M") + + arr = np.arange(10, dtype="m8[s]") + np.add(arr, arr, dtype="m") + np.maximum(arr, arr, dtype="m") + + @pytest.mark.parametrize("ufunc", [np.add, np.sqrt]) + def test_cast_safety(self, ufunc): + """Basic test for the safest casts, because ufuncs inner loops can + indicate a cast-safety as well (which is normally always "no"). + """ + def call_ufunc(arr, **kwargs): + return ufunc(*(arr,) * ufunc.nin, **kwargs) + + arr = np.array([1., 2., 3.], dtype=np.float32) + arr_bs = arr.astype(arr.dtype.newbyteorder()) + expected = call_ufunc(arr) + # Normally, a "no" cast: + res = call_ufunc(arr, casting="no") + assert_array_equal(expected, res) + # Byte-swapping is not allowed with "no" though: + with pytest.raises(TypeError): + call_ufunc(arr_bs, casting="no") + + # But is allowed with "equiv": + res = call_ufunc(arr_bs, casting="equiv") + assert_array_equal(expected, res) + + # Casting to float64 is safe, but not equiv: + with pytest.raises(TypeError): + call_ufunc(arr_bs, dtype=np.float64, casting="equiv") + + # but it is safe cast: + res = call_ufunc(arr_bs, dtype=np.float64, casting="safe") + expected = call_ufunc(arr.astype(np.float64)) # upcast + assert_array_equal(expected, res) + + @pytest.mark.parametrize("ufunc", [np.add, np.equal]) + def test_cast_safety_scalar(self, ufunc): + # We test add and equal, because equal has special scalar handling + # Note that the "equiv" casting behavior should maybe be considered + # a current implementation detail. + with pytest.raises(TypeError): + # this picks an integer loop, which is not safe + ufunc(3., 4., dtype=int, casting="safe") + + with pytest.raises(TypeError): + # We accept python float as float64 but not float32 for equiv. + ufunc(3., 4., dtype="float32", casting="equiv") + + # Special case for object and equal (note that equiv implies safe) + ufunc(3, 4, dtype=object, casting="equiv") + # Picks a double loop for both, first is equiv, second safe: + ufunc(np.array([3.]), 3., casting="equiv") + ufunc(np.array([3.]), 3, casting="safe") + ufunc(np.array([3]), 3, casting="equiv") + + def test_cast_safety_scalar_special(self): + # We allow this (and it succeeds) via object, although the equiv + # part may not be important. + np.equal(np.array([3]), 2**300, casting="equiv") + + def test_true_divide(self): + a = np.array(10) + b = np.array(20) + tgt = np.array(0.5) + + for tc in 'bhilqBHILQefdgFDG': + dt = np.dtype(tc) + aa = a.astype(dt) + bb = b.astype(dt) + + # Check result value and dtype. + for x, y in itertools.product([aa, -aa], [bb, -bb]): + + # Check with no output type specified + if tc in 'FDG': + tgt = complex(x)/complex(y) + else: + tgt = float(x)/float(y) + + res = np.true_divide(x, y) + rtol = max(np.finfo(res).resolution, 1e-15) + assert_allclose(res, tgt, rtol=rtol) + + if tc in 'bhilqBHILQ': + assert_(res.dtype.name == 'float64') + else: + assert_(res.dtype.name == dt.name ) + + # Check with output type specified. This also checks for the + # incorrect casts in issue gh-3484 because the unary '-' does + # not change types, even for unsigned types, Hence casts in the + # ufunc from signed to unsigned and vice versa will lead to + # errors in the values. + for tcout in 'bhilqBHILQ': + dtout = np.dtype(tcout) + assert_raises(TypeError, np.true_divide, x, y, dtype=dtout) + + for tcout in 'efdg': + dtout = np.dtype(tcout) + if tc in 'FDG': + # Casting complex to float is not allowed + assert_raises(TypeError, np.true_divide, x, y, dtype=dtout) + else: + tgt = float(x)/float(y) + rtol = max(np.finfo(dtout).resolution, 1e-15) + # The value of tiny for double double is NaN + with suppress_warnings() as sup: + sup.filter(UserWarning) + if not np.isnan(np.finfo(dtout).tiny): + atol = max(np.finfo(dtout).tiny, 3e-308) + else: + atol = 3e-308 + # Some test values result in invalid for float16 + # and the cast to it may overflow to inf. + with np.errstate(invalid='ignore', over='ignore'): + res = np.true_divide(x, y, dtype=dtout) + if not np.isfinite(res) and tcout == 'e': + continue + assert_allclose(res, tgt, rtol=rtol, atol=atol) + assert_(res.dtype.name == dtout.name) + + for tcout in 'FDG': + dtout = np.dtype(tcout) + tgt = complex(x)/complex(y) + rtol = max(np.finfo(dtout).resolution, 1e-15) + # The value of tiny for double double is NaN + with suppress_warnings() as sup: + sup.filter(UserWarning) + if not np.isnan(np.finfo(dtout).tiny): + atol = max(np.finfo(dtout).tiny, 3e-308) + else: + atol = 3e-308 + res = np.true_divide(x, y, dtype=dtout) + if not np.isfinite(res): + continue + assert_allclose(res, tgt, rtol=rtol, atol=atol) + assert_(res.dtype.name == dtout.name) + + # Check booleans + a = np.ones((), dtype=np.bool) + res = np.true_divide(a, a) + assert_(res == 1.0) + assert_(res.dtype.name == 'float64') + res = np.true_divide(~a, a) + assert_(res == 0.0) + assert_(res.dtype.name == 'float64') + + def test_sum_stability(self): + a = np.ones(500, dtype=np.float32) + assert_almost_equal((a / 10.).sum() - a.size / 10., 0, 4) + + a = np.ones(500, dtype=np.float64) + assert_almost_equal((a / 10.).sum() - a.size / 10., 0, 13) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_sum(self): + for dt in (int, np.float16, np.float32, np.float64, np.longdouble): + for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127, + 128, 1024, 1235): + # warning if sum overflows, which it does in float16 + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter("always", RuntimeWarning) + + tgt = dt(v * (v + 1) / 2) + overflow = not np.isfinite(tgt) + assert_equal(len(w), 1 * overflow) + + d = np.arange(1, v + 1, dtype=dt) + + assert_almost_equal(np.sum(d), tgt) + assert_equal(len(w), 2 * overflow) + + assert_almost_equal(np.sum(d[::-1]), tgt) + assert_equal(len(w), 3 * overflow) + + d = np.ones(500, dtype=dt) + assert_almost_equal(np.sum(d[::2]), 250.) + assert_almost_equal(np.sum(d[1::2]), 250.) + assert_almost_equal(np.sum(d[::3]), 167.) + assert_almost_equal(np.sum(d[1::3]), 167.) + assert_almost_equal(np.sum(d[::-2]), 250.) + assert_almost_equal(np.sum(d[-1::-2]), 250.) + assert_almost_equal(np.sum(d[::-3]), 167.) + assert_almost_equal(np.sum(d[-1::-3]), 167.) + # sum with first reduction entry != 0 + d = np.ones((1,), dtype=dt) + d += d + assert_almost_equal(d, 2.) + + def test_sum_complex(self): + for dt in (np.complex64, np.complex128, np.clongdouble): + for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127, + 128, 1024, 1235): + tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j) + d = np.empty(v, dtype=dt) + d.real = np.arange(1, v + 1) + d.imag = -np.arange(1, v + 1) + assert_almost_equal(np.sum(d), tgt) + assert_almost_equal(np.sum(d[::-1]), tgt) + + d = np.ones(500, dtype=dt) + 1j + assert_almost_equal(np.sum(d[::2]), 250. + 250j) + assert_almost_equal(np.sum(d[1::2]), 250. + 250j) + assert_almost_equal(np.sum(d[::3]), 167. + 167j) + assert_almost_equal(np.sum(d[1::3]), 167. + 167j) + assert_almost_equal(np.sum(d[::-2]), 250. + 250j) + assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j) + assert_almost_equal(np.sum(d[::-3]), 167. + 167j) + assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j) + # sum with first reduction entry != 0 + d = np.ones((1,), dtype=dt) + 1j + d += d + assert_almost_equal(d, 2. + 2j) + + def test_sum_initial(self): + # Integer, single axis + assert_equal(np.sum([3], initial=2), 5) + + # Floating point + assert_almost_equal(np.sum([0.2], initial=0.1), 0.3) + + # Multiple non-adjacent axes + assert_equal(np.sum(np.ones((2, 3, 5), dtype=np.int64), axis=(0, 2), initial=2), + [12, 12, 12]) + + def test_sum_where(self): + # More extensive tests done in test_reduction_with_where. + assert_equal(np.sum([[1., 2.], [3., 4.]], where=[True, False]), 4.) + assert_equal(np.sum([[1., 2.], [3., 4.]], axis=0, initial=5., + where=[True, False]), [9., 5.]) + + def test_vecdot(self): + arr1 = np.arange(6).reshape((2, 3)) + arr2 = np.arange(3).reshape((1, 3)) + + actual = np.vecdot(arr1, arr2) + expected = np.array([5, 14]) + + assert_array_equal(actual, expected) + + actual2 = np.vecdot(arr1.T, arr2.T, axis=-2) + assert_array_equal(actual2, expected) + + actual3 = np.vecdot(arr1.astype("object"), arr2) + assert_array_equal(actual3, expected.astype("object")) + + def test_matvec(self): + arr1 = np.arange(6).reshape((2, 3)) + arr2 = np.arange(3).reshape((1, 3)) + + actual = np.matvec(arr1, arr2) + expected = np.array([[5, 14]]) + + assert_array_equal(actual, expected) + + actual2 = np.matvec(arr1.T, arr2.T, axes=[(-1, -2), -2, -1]) + assert_array_equal(actual2, expected) + + actual3 = np.matvec(arr1.astype("object"), arr2) + assert_array_equal(actual3, expected.astype("object")) + + @pytest.mark.parametrize("vec", [ + np.array([[1., 2., 3.], [4., 5., 6.]]), + np.array([[1., 2j, 3.], [4., 5., 6j]]), + np.array([[1., 2., 3.], [4., 5., 6.]], dtype=object), + np.array([[1., 2j, 3.], [4., 5., 6j]], dtype=object)]) + @pytest.mark.parametrize("matrix", [ + None, + np.array([[1.+1j, 0.5, -0.5j], + [0.25, 2j, 0.], + [4., 0., -1j]])]) + def test_vecmatvec_identity(self, matrix, vec): + """Check that (x†A)x equals x†(Ax).""" + mat = matrix if matrix is not None else np.eye(3) + matvec = np.matvec(mat, vec) # Ax + vecmat = np.vecmat(vec, mat) # x†A + if matrix is None: + assert_array_equal(matvec, vec) + assert_array_equal(vecmat.conj(), vec) + assert_array_equal(matvec, (mat @ vec[..., np.newaxis]).squeeze(-1)) + assert_array_equal(vecmat, (vec[..., np.newaxis].mT.conj() + @ mat).squeeze(-2)) + expected = np.einsum('...i,ij,...j', vec.conj(), mat, vec) + vec_matvec = (vec.conj() * matvec).sum(-1) + vecmat_vec = (vecmat * vec).sum(-1) + assert_array_equal(vec_matvec, expected) + assert_array_equal(vecmat_vec, expected) + + @pytest.mark.parametrize("ufunc, shape1, shape2, conj", [ + (np.vecdot, (3,), (3,), True), + (np.vecmat, (3,), (3, 1), True), + (np.matvec, (1, 3), (3,), False), + (np.matmul, (1, 3), (3, 1), False), + ]) + def test_vecdot_matvec_vecmat_complex(self, ufunc, shape1, shape2, conj): + arr1 = np.array([1, 2j, 3]) + arr2 = np.array([1, 2, 3]) + + actual1 = ufunc(arr1.reshape(shape1), arr2.reshape(shape2)) + expected1 = np.array(((arr1.conj() if conj else arr1) * arr2).sum(), + ndmin=min(len(shape1), len(shape2))) + assert_array_equal(actual1, expected1) + # This would fail for conj=True, since matmul omits the conjugate. + if not conj: + assert_array_equal(arr1.reshape(shape1) @ arr2.reshape(shape2), + expected1) + + actual2 = ufunc(arr2.reshape(shape1), arr1.reshape(shape2)) + expected2 = np.array(((arr2.conj() if conj else arr2) * arr1).sum(), + ndmin=min(len(shape1), len(shape2))) + assert_array_equal(actual2, expected2) + + actual3 = ufunc(arr1.reshape(shape1).astype("object"), + arr2.reshape(shape2).astype("object")) + expected3 = expected1.astype(object) + assert_array_equal(actual3, expected3) + + def test_vecdot_subclass(self): + class MySubclass(np.ndarray): + pass + + arr1 = np.arange(6).reshape((2, 3)).view(MySubclass) + arr2 = np.arange(3).reshape((1, 3)).view(MySubclass) + result = np.vecdot(arr1, arr2) + assert isinstance(result, MySubclass) + + def test_vecdot_object_no_conjugate(self): + arr = np.array(["1", "2"], dtype=object) + with pytest.raises(AttributeError, match="conjugate"): + np.vecdot(arr, arr) + + def test_vecdot_object_breaks_outer_loop_on_error(self): + arr1 = np.ones((3, 3)).astype(object) + arr2 = arr1.copy() + arr2[1, 1] = None + out = np.zeros(3).astype(object) + with pytest.raises(TypeError, match=r"\*: 'float' and 'NoneType'"): + np.vecdot(arr1, arr2, out=out) + assert out[0] == 3 + assert out[1] == out[2] == 0 + + def test_broadcast(self): + msg = "broadcast" + a = np.arange(4).reshape((2, 1, 2)) + b = np.arange(4).reshape((1, 2, 2)) + assert_array_equal(np.vecdot(a, b), np.sum(a*b, axis=-1), err_msg=msg) + msg = "extend & broadcast loop dimensions" + b = np.arange(4).reshape((2, 2)) + assert_array_equal(np.vecdot(a, b), np.sum(a*b, axis=-1), err_msg=msg) + # Broadcast in core dimensions should fail + a = np.arange(8).reshape((4, 2)) + b = np.arange(4).reshape((4, 1)) + assert_raises(ValueError, np.vecdot, a, b) + # Extend core dimensions should fail + a = np.arange(8).reshape((4, 2)) + b = np.array(7) + assert_raises(ValueError, np.vecdot, a, b) + # Broadcast should fail + a = np.arange(2).reshape((2, 1, 1)) + b = np.arange(3).reshape((3, 1, 1)) + assert_raises(ValueError, np.vecdot, a, b) + + # Writing to a broadcasted array with overlap should warn, gh-2705 + a = np.arange(2) + b = np.arange(4).reshape((2, 2)) + u, v = np.broadcast_arrays(a, b) + assert_equal(u.strides[0], 0) + x = u + v + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter("always") + u += v + assert_equal(len(w), 1) + assert_(x[0, 0] != u[0, 0]) + + # Output reduction should not be allowed. + # See gh-15139 + a = np.arange(6).reshape(3, 2) + b = np.ones(2) + out = np.empty(()) + assert_raises(ValueError, np.vecdot, a, b, out) + out2 = np.empty(3) + c = np.vecdot(a, b, out2) + assert_(c is out2) + + def test_out_broadcasts(self): + # For ufuncs and gufuncs (not for reductions), we currently allow + # the output to cause broadcasting of the input arrays. + # both along dimensions with shape 1 and dimensions which do not + # exist at all in the inputs. + arr = np.arange(3).reshape(1, 3) + out = np.empty((5, 4, 3)) + np.add(arr, arr, out=out) + assert (out == np.arange(3) * 2).all() + + # The same holds for gufuncs (gh-16484) + np.vecdot(arr, arr, out=out) + # the result would be just a scalar `5`, but is broadcast fully: + assert (out == 5).all() + + @pytest.mark.parametrize(["arr", "out"], [ + ([2], np.empty(())), + ([1, 2], np.empty(1)), + (np.ones((4, 3)), np.empty((4, 1)))], + ids=["(1,)->()", "(2,)->(1,)", "(4, 3)->(4, 1)"]) + def test_out_broadcast_errors(self, arr, out): + # Output is (currently) allowed to broadcast inputs, but it cannot be + # smaller than the actual result. + with pytest.raises(ValueError, match="non-broadcastable"): + np.positive(arr, out=out) + + with pytest.raises(ValueError, match="non-broadcastable"): + np.add(np.ones(()), arr, out=out) + + def test_type_cast(self): + msg = "type cast" + a = np.arange(6, dtype='short').reshape((2, 3)) + assert_array_equal(np.vecdot(a, a), np.sum(a*a, axis=-1), + err_msg=msg) + msg = "type cast on one argument" + a = np.arange(6).reshape((2, 3)) + b = a + 0.1 + assert_array_almost_equal(np.vecdot(a, b), np.sum(a*b, axis=-1), + err_msg=msg) + + def test_endian(self): + msg = "big endian" + a = np.arange(6, dtype='>i4').reshape((2, 3)) + assert_array_equal(np.vecdot(a, a), np.sum(a*a, axis=-1), + err_msg=msg) + msg = "little endian" + a = np.arange(6, dtype='()' + a = np.arange(27.).reshape((3, 3, 3)) + b = np.arange(10., 19.).reshape((3, 1, 3)) + # basic tests on inputs (outputs tested below with matrix_multiply). + c = np.vecdot(a, b) + assert_array_equal(c, (a * b).sum(-1)) + # default + c = np.vecdot(a, b, axes=[(-1,), (-1,), ()]) + assert_array_equal(c, (a * b).sum(-1)) + # integers ok for single axis. + c = np.vecdot(a, b, axes=[-1, -1, ()]) + assert_array_equal(c, (a * b).sum(-1)) + # mix fine + c = np.vecdot(a, b, axes=[(-1,), -1, ()]) + assert_array_equal(c, (a * b).sum(-1)) + # can omit last axis. + c = np.vecdot(a, b, axes=[-1, -1]) + assert_array_equal(c, (a * b).sum(-1)) + # can pass in other types of integer (with __index__ protocol) + c = np.vecdot(a, b, axes=[np.int8(-1), np.array(-1, dtype=np.int32)]) + assert_array_equal(c, (a * b).sum(-1)) + # swap some axes + c = np.vecdot(a, b, axes=[0, 0]) + assert_array_equal(c, (a * b).sum(0)) + c = np.vecdot(a, b, axes=[0, 2]) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1)) + # Check errors for improperly constructed axes arguments. + # should have list. + assert_raises(TypeError, np.vecdot, a, b, axes=-1) + # needs enough elements + assert_raises(ValueError, np.vecdot, a, b, axes=[-1]) + # should pass in indices. + assert_raises(TypeError, np.vecdot, a, b, axes=[-1.0, -1.0]) + assert_raises(TypeError, np.vecdot, a, b, axes=[(-1.0,), -1]) + assert_raises(TypeError, np.vecdot, a, b, axes=[None, 1]) + # cannot pass an index unless there is only one dimension + # (output is wrong in this case) + assert_raises(AxisError, np.vecdot, a, b, axes=[-1, -1, -1]) + # or pass in generally the wrong number of axes + assert_raises(AxisError, np.vecdot, a, b, axes=[-1, -1, (-1,)]) + assert_raises(AxisError, np.vecdot, a, b, axes=[-1, (-2, -1), ()]) + # axes need to have same length. + assert_raises(ValueError, np.vecdot, a, b, axes=[0, 1]) + + # matrix_multiply signature: '(m,n),(n,p)->(m,p)' + mm = umt.matrix_multiply + a = np.arange(12).reshape((2, 3, 2)) + b = np.arange(8).reshape((2, 2, 2, 1)) + 1 + # Sanity check. + c = mm(a, b) + assert_array_equal(c, np.matmul(a, b)) + # Default axes. + c = mm(a, b, axes=[(-2, -1), (-2, -1), (-2, -1)]) + assert_array_equal(c, np.matmul(a, b)) + # Default with explicit axes. + c = mm(a, b, axes=[(1, 2), (2, 3), (2, 3)]) + assert_array_equal(c, np.matmul(a, b)) + # swap some axes. + c = mm(a, b, axes=[(0, -1), (1, 2), (-2, -1)]) + assert_array_equal(c, np.matmul(a.transpose(1, 0, 2), + b.transpose(0, 3, 1, 2))) + # Default with output array. + c = np.empty((2, 2, 3, 1)) + d = mm(a, b, out=c, axes=[(1, 2), (2, 3), (2, 3)]) + assert_(c is d) + assert_array_equal(c, np.matmul(a, b)) + # Transposed output array + c = np.empty((1, 2, 2, 3)) + d = mm(a, b, out=c, axes=[(-2, -1), (-2, -1), (3, 0)]) + assert_(c is d) + assert_array_equal(c, np.matmul(a, b).transpose(3, 0, 1, 2)) + # Check errors for improperly constructed axes arguments. + # wrong argument + assert_raises(TypeError, mm, a, b, axis=1) + # axes should be list + assert_raises(TypeError, mm, a, b, axes=1) + assert_raises(TypeError, mm, a, b, axes=((-2, -1), (-2, -1), (-2, -1))) + # list needs to have right length + assert_raises(ValueError, mm, a, b, axes=[]) + assert_raises(ValueError, mm, a, b, axes=[(-2, -1)]) + # list should not contain None, or lists + assert_raises(TypeError, mm, a, b, axes=[None, None, None]) + assert_raises(TypeError, + mm, a, b, axes=[[-2, -1], [-2, -1], [-2, -1]]) + assert_raises(TypeError, + mm, a, b, axes=[(-2, -1), (-2, -1), [-2, -1]]) + assert_raises(TypeError, mm, a, b, axes=[(-2, -1), (-2, -1), None]) + # single integers are AxisErrors if more are required + assert_raises(AxisError, mm, a, b, axes=[-1, -1, -1]) + assert_raises(AxisError, mm, a, b, axes=[(-2, -1), (-2, -1), -1]) + # tuples should not have duplicated values + assert_raises(ValueError, mm, a, b, axes=[(-2, -1), (-2, -1), (-2, -2)]) + # arrays should have enough axes. + z = np.zeros((2, 2)) + assert_raises(ValueError, mm, z, z[0]) + assert_raises(ValueError, mm, z, z, out=z[:, 0]) + assert_raises(ValueError, mm, z[1], z, axes=[0, 1]) + assert_raises(ValueError, mm, z, z, out=z[0], axes=[0, 1]) + # Regular ufuncs should not accept axes. + assert_raises(TypeError, np.add, 1., 1., axes=[0]) + # should be able to deal with bad unrelated kwargs. + assert_raises(TypeError, mm, z, z, axes=[0, 1], parrot=True) + + def test_axis_argument(self): + # vecdot signature: '(n),(n)->()' + a = np.arange(27.).reshape((3, 3, 3)) + b = np.arange(10., 19.).reshape((3, 1, 3)) + c = np.vecdot(a, b) + assert_array_equal(c, (a * b).sum(-1)) + c = np.vecdot(a, b, axis=-1) + assert_array_equal(c, (a * b).sum(-1)) + out = np.zeros_like(c) + d = np.vecdot(a, b, axis=-1, out=out) + assert_(d is out) + assert_array_equal(d, c) + c = np.vecdot(a, b, axis=0) + assert_array_equal(c, (a * b).sum(0)) + # Sanity checks on innerwt and cumsum. + a = np.arange(6).reshape((2, 3)) + b = np.arange(10, 16).reshape((2, 3)) + w = np.arange(20, 26).reshape((2, 3)) + assert_array_equal(umt.innerwt(a, b, w, axis=0), + np.sum(a * b * w, axis=0)) + assert_array_equal(umt.cumsum(a, axis=0), np.cumsum(a, axis=0)) + assert_array_equal(umt.cumsum(a, axis=-1), np.cumsum(a, axis=-1)) + out = np.empty_like(a) + b = umt.cumsum(a, out=out, axis=0) + assert_(out is b) + assert_array_equal(b, np.cumsum(a, axis=0)) + b = umt.cumsum(a, out=out, axis=1) + assert_(out is b) + assert_array_equal(b, np.cumsum(a, axis=-1)) + # Check errors. + # Cannot pass in both axis and axes. + assert_raises(TypeError, np.vecdot, a, b, axis=0, axes=[0, 0]) + # Not an integer. + assert_raises(TypeError, np.vecdot, a, b, axis=[0]) + # more than 1 core dimensions. + mm = umt.matrix_multiply + assert_raises(TypeError, mm, a, b, axis=1) + # Output wrong size in axis. + out = np.empty((1, 2, 3), dtype=a.dtype) + assert_raises(ValueError, umt.cumsum, a, out=out, axis=0) + # Regular ufuncs should not accept axis. + assert_raises(TypeError, np.add, 1., 1., axis=0) + + def test_keepdims_argument(self): + # vecdot signature: '(n),(n)->()' + a = np.arange(27.).reshape((3, 3, 3)) + b = np.arange(10., 19.).reshape((3, 1, 3)) + c = np.vecdot(a, b) + assert_array_equal(c, (a * b).sum(-1)) + c = np.vecdot(a, b, keepdims=False) + assert_array_equal(c, (a * b).sum(-1)) + c = np.vecdot(a, b, keepdims=True) + assert_array_equal(c, (a * b).sum(-1, keepdims=True)) + out = np.zeros_like(c) + d = np.vecdot(a, b, keepdims=True, out=out) + assert_(d is out) + assert_array_equal(d, c) + # Now combined with axis and axes. + c = np.vecdot(a, b, axis=-1, keepdims=False) + assert_array_equal(c, (a * b).sum(-1, keepdims=False)) + c = np.vecdot(a, b, axis=-1, keepdims=True) + assert_array_equal(c, (a * b).sum(-1, keepdims=True)) + c = np.vecdot(a, b, axis=0, keepdims=False) + assert_array_equal(c, (a * b).sum(0, keepdims=False)) + c = np.vecdot(a, b, axis=0, keepdims=True) + assert_array_equal(c, (a * b).sum(0, keepdims=True)) + c = np.vecdot(a, b, axes=[(-1,), (-1,), ()], keepdims=False) + assert_array_equal(c, (a * b).sum(-1)) + c = np.vecdot(a, b, axes=[(-1,), (-1,), (-1,)], keepdims=True) + assert_array_equal(c, (a * b).sum(-1, keepdims=True)) + c = np.vecdot(a, b, axes=[0, 0], keepdims=False) + assert_array_equal(c, (a * b).sum(0)) + c = np.vecdot(a, b, axes=[0, 0, 0], keepdims=True) + assert_array_equal(c, (a * b).sum(0, keepdims=True)) + c = np.vecdot(a, b, axes=[0, 2], keepdims=False) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1)) + c = np.vecdot(a, b, axes=[0, 2], keepdims=True) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1, + keepdims=True)) + c = np.vecdot(a, b, axes=[0, 2, 2], keepdims=True) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1, + keepdims=True)) + c = np.vecdot(a, b, axes=[0, 2, 0], keepdims=True) + assert_array_equal(c, (a * b.transpose(2, 0, 1)).sum(0, keepdims=True)) + # Hardly useful, but should work. + c = np.vecdot(a, b, axes=[0, 2, 1], keepdims=True) + assert_array_equal(c, (a.transpose(1, 0, 2) * b.transpose(0, 2, 1)) + .sum(1, keepdims=True)) + # Check with two core dimensions. + a = np.eye(3) * np.arange(4.)[:, np.newaxis, np.newaxis] + expected = uml.det(a) + c = uml.det(a, keepdims=False) + assert_array_equal(c, expected) + c = uml.det(a, keepdims=True) + assert_array_equal(c, expected[:, np.newaxis, np.newaxis]) + a = np.eye(3) * np.arange(4.)[:, np.newaxis, np.newaxis] + expected_s, expected_l = uml.slogdet(a) + cs, cl = uml.slogdet(a, keepdims=False) + assert_array_equal(cs, expected_s) + assert_array_equal(cl, expected_l) + cs, cl = uml.slogdet(a, keepdims=True) + assert_array_equal(cs, expected_s[:, np.newaxis, np.newaxis]) + assert_array_equal(cl, expected_l[:, np.newaxis, np.newaxis]) + # Sanity check on innerwt. + a = np.arange(6).reshape((2, 3)) + b = np.arange(10, 16).reshape((2, 3)) + w = np.arange(20, 26).reshape((2, 3)) + assert_array_equal(umt.innerwt(a, b, w, keepdims=True), + np.sum(a * b * w, axis=-1, keepdims=True)) + assert_array_equal(umt.innerwt(a, b, w, axis=0, keepdims=True), + np.sum(a * b * w, axis=0, keepdims=True)) + # Check errors. + # Not a boolean + assert_raises(TypeError, np.vecdot, a, b, keepdims='true') + # More than 1 core dimension, and core output dimensions. + mm = umt.matrix_multiply + assert_raises(TypeError, mm, a, b, keepdims=True) + assert_raises(TypeError, mm, a, b, keepdims=False) + # Regular ufuncs should not accept keepdims. + assert_raises(TypeError, np.add, 1., 1., keepdims=False) + + def test_innerwt(self): + a = np.arange(6).reshape((2, 3)) + b = np.arange(10, 16).reshape((2, 3)) + w = np.arange(20, 26).reshape((2, 3)) + assert_array_equal(umt.innerwt(a, b, w), np.sum(a*b*w, axis=-1)) + a = np.arange(100, 124).reshape((2, 3, 4)) + b = np.arange(200, 224).reshape((2, 3, 4)) + w = np.arange(300, 324).reshape((2, 3, 4)) + assert_array_equal(umt.innerwt(a, b, w), np.sum(a*b*w, axis=-1)) + + def test_innerwt_empty(self): + """Test generalized ufunc with zero-sized operands""" + a = np.array([], dtype='f8') + b = np.array([], dtype='f8') + w = np.array([], dtype='f8') + assert_array_equal(umt.innerwt(a, b, w), np.sum(a*b*w, axis=-1)) + + def test_cross1d(self): + """Test with fixed-sized signature.""" + a = np.eye(3) + assert_array_equal(umt.cross1d(a, a), np.zeros((3, 3))) + out = np.zeros((3, 3)) + result = umt.cross1d(a[0], a, out) + assert_(result is out) + assert_array_equal(result, np.vstack((np.zeros(3), a[2], -a[1]))) + assert_raises(ValueError, umt.cross1d, np.eye(4), np.eye(4)) + assert_raises(ValueError, umt.cross1d, a, np.arange(4.)) + # Wrong output core dimension. + assert_raises(ValueError, umt.cross1d, a, np.arange(3.), np.zeros((3, 4))) + # Wrong output broadcast dimension (see gh-15139). + assert_raises(ValueError, umt.cross1d, a, np.arange(3.), np.zeros(3)) + + def test_can_ignore_signature(self): + # Comparing the effects of ? in signature: + # matrix_multiply: (m,n),(n,p)->(m,p) # all must be there. + # matmul: (m?,n),(n,p?)->(m?,p?) # allow missing m, p. + mat = np.arange(12).reshape((2, 3, 2)) + single_vec = np.arange(2) + col_vec = single_vec[:, np.newaxis] + col_vec_array = np.arange(8).reshape((2, 2, 2, 1)) + 1 + # matrix @ single column vector with proper dimension + mm_col_vec = umt.matrix_multiply(mat, col_vec) + # matmul does the same thing + matmul_col_vec = umt.matmul(mat, col_vec) + assert_array_equal(matmul_col_vec, mm_col_vec) + # matrix @ vector without dimension making it a column vector. + # matrix multiply fails -> missing core dim. + assert_raises(ValueError, umt.matrix_multiply, mat, single_vec) + # matmul mimicker passes, and returns a vector. + matmul_col = umt.matmul(mat, single_vec) + assert_array_equal(matmul_col, mm_col_vec.squeeze()) + # Now with a column array: same as for column vector, + # broadcasting sensibly. + mm_col_vec = umt.matrix_multiply(mat, col_vec_array) + matmul_col_vec = umt.matmul(mat, col_vec_array) + assert_array_equal(matmul_col_vec, mm_col_vec) + # As above, but for row vector + single_vec = np.arange(3) + row_vec = single_vec[np.newaxis, :] + row_vec_array = np.arange(24).reshape((4, 2, 1, 1, 3)) + 1 + # row vector @ matrix + mm_row_vec = umt.matrix_multiply(row_vec, mat) + matmul_row_vec = umt.matmul(row_vec, mat) + assert_array_equal(matmul_row_vec, mm_row_vec) + # single row vector @ matrix + assert_raises(ValueError, umt.matrix_multiply, single_vec, mat) + matmul_row = umt.matmul(single_vec, mat) + assert_array_equal(matmul_row, mm_row_vec.squeeze()) + # row vector array @ matrix + mm_row_vec = umt.matrix_multiply(row_vec_array, mat) + matmul_row_vec = umt.matmul(row_vec_array, mat) + assert_array_equal(matmul_row_vec, mm_row_vec) + # Now for vector combinations + # row vector @ column vector + col_vec = row_vec.T + col_vec_array = row_vec_array.swapaxes(-2, -1) + mm_row_col_vec = umt.matrix_multiply(row_vec, col_vec) + matmul_row_col_vec = umt.matmul(row_vec, col_vec) + assert_array_equal(matmul_row_col_vec, mm_row_col_vec) + # single row vector @ single col vector + assert_raises(ValueError, umt.matrix_multiply, single_vec, single_vec) + matmul_row_col = umt.matmul(single_vec, single_vec) + assert_array_equal(matmul_row_col, mm_row_col_vec.squeeze()) + # row vector array @ matrix + mm_row_col_array = umt.matrix_multiply(row_vec_array, col_vec_array) + matmul_row_col_array = umt.matmul(row_vec_array, col_vec_array) + assert_array_equal(matmul_row_col_array, mm_row_col_array) + # Finally, check that things are *not* squeezed if one gives an + # output. + out = np.zeros_like(mm_row_col_array) + out = umt.matrix_multiply(row_vec_array, col_vec_array, out=out) + assert_array_equal(out, mm_row_col_array) + out[:] = 0 + out = umt.matmul(row_vec_array, col_vec_array, out=out) + assert_array_equal(out, mm_row_col_array) + # And check one cannot put missing dimensions back. + out = np.zeros_like(mm_row_col_vec) + assert_raises(ValueError, umt.matrix_multiply, single_vec, single_vec, + out) + # But fine for matmul, since it is just a broadcast. + out = umt.matmul(single_vec, single_vec, out) + assert_array_equal(out, mm_row_col_vec.squeeze()) + + def test_matrix_multiply(self): + self.compare_matrix_multiply_results(np.int64) + self.compare_matrix_multiply_results(np.double) + + def test_matrix_multiply_umath_empty(self): + res = umt.matrix_multiply(np.ones((0, 10)), np.ones((10, 0))) + assert_array_equal(res, np.zeros((0, 0))) + res = umt.matrix_multiply(np.ones((10, 0)), np.ones((0, 10))) + assert_array_equal(res, np.zeros((10, 10))) + + def compare_matrix_multiply_results(self, tp): + d1 = np.array(np.random.rand(2, 3, 4), dtype=tp) + d2 = np.array(np.random.rand(2, 3, 4), dtype=tp) + msg = "matrix multiply on type %s" % d1.dtype.name + + def permute_n(n): + if n == 1: + return ([0],) + ret = () + base = permute_n(n-1) + for perm in base: + for i in range(n): + new = perm + [n-1] + new[n-1] = new[i] + new[i] = n-1 + ret += (new,) + return ret + + def slice_n(n): + if n == 0: + return ((),) + ret = () + base = slice_n(n-1) + for sl in base: + ret += (sl+(slice(None),),) + ret += (sl+(slice(0, 1),),) + return ret + + def broadcastable(s1, s2): + return s1 == s2 or s1 == 1 or s2 == 1 + + permute_3 = permute_n(3) + slice_3 = slice_n(3) + ((slice(None, None, -1),)*3,) + + ref = True + for p1 in permute_3: + for p2 in permute_3: + for s1 in slice_3: + for s2 in slice_3: + a1 = d1.transpose(p1)[s1] + a2 = d2.transpose(p2)[s2] + ref = ref and a1.base is not None + ref = ref and a2.base is not None + if (a1.shape[-1] == a2.shape[-2] and + broadcastable(a1.shape[0], a2.shape[0])): + assert_array_almost_equal( + umt.matrix_multiply(a1, a2), + np.sum(a2[..., np.newaxis].swapaxes(-3, -1) * + a1[..., np.newaxis,:], axis=-1), + err_msg=msg + ' %s %s' % (str(a1.shape), + str(a2.shape))) + + assert_equal(ref, True, err_msg="reference check") + + def test_euclidean_pdist(self): + a = np.arange(12, dtype=float).reshape(4, 3) + out = np.empty((a.shape[0] * (a.shape[0] - 1) // 2,), dtype=a.dtype) + umt.euclidean_pdist(a, out) + b = np.sqrt(np.sum((a[:, None] - a)**2, axis=-1)) + b = b[~np.tri(a.shape[0], dtype=bool)] + assert_almost_equal(out, b) + # An output array is required to determine p with signature (n,d)->(p) + assert_raises(ValueError, umt.euclidean_pdist, a) + + def test_cumsum(self): + a = np.arange(10) + result = umt.cumsum(a) + assert_array_equal(result, a.cumsum()) + + def test_object_logical(self): + a = np.array([3, None, True, False, "test", ""], dtype=object) + assert_equal(np.logical_or(a, None), + np.array([x or None for x in a], dtype=object)) + assert_equal(np.logical_or(a, True), + np.array([x or True for x in a], dtype=object)) + assert_equal(np.logical_or(a, 12), + np.array([x or 12 for x in a], dtype=object)) + assert_equal(np.logical_or(a, "blah"), + np.array([x or "blah" for x in a], dtype=object)) + + assert_equal(np.logical_and(a, None), + np.array([x and None for x in a], dtype=object)) + assert_equal(np.logical_and(a, True), + np.array([x and True for x in a], dtype=object)) + assert_equal(np.logical_and(a, 12), + np.array([x and 12 for x in a], dtype=object)) + assert_equal(np.logical_and(a, "blah"), + np.array([x and "blah" for x in a], dtype=object)) + + assert_equal(np.logical_not(a), + np.array([not x for x in a], dtype=object)) + + assert_equal(np.logical_or.reduce(a), 3) + assert_equal(np.logical_and.reduce(a), None) + + def test_object_comparison(self): + class HasComparisons: + def __eq__(self, other): + return '==' + + arr0d = np.array(HasComparisons()) + assert_equal(arr0d == arr0d, True) + assert_equal(np.equal(arr0d, arr0d), True) # normal behavior is a cast + + arr1d = np.array([HasComparisons()]) + assert_equal(arr1d == arr1d, np.array([True])) + assert_equal(np.equal(arr1d, arr1d), np.array([True])) # normal behavior is a cast + assert_equal(np.equal(arr1d, arr1d, dtype=object), np.array(['=='])) + + def test_object_array_reduction(self): + # Reductions on object arrays + a = np.array(['a', 'b', 'c'], dtype=object) + assert_equal(np.sum(a), 'abc') + assert_equal(np.max(a), 'c') + assert_equal(np.min(a), 'a') + a = np.array([True, False, True], dtype=object) + assert_equal(np.sum(a), 2) + assert_equal(np.prod(a), 0) + assert_equal(np.any(a), True) + assert_equal(np.all(a), False) + assert_equal(np.max(a), True) + assert_equal(np.min(a), False) + assert_equal(np.array([[1]], dtype=object).sum(), 1) + assert_equal(np.array([[[1, 2]]], dtype=object).sum((0, 1)), [1, 2]) + assert_equal(np.array([1], dtype=object).sum(initial=1), 2) + assert_equal(np.array([[1], [2, 3]], dtype=object) + .sum(initial=[0], where=[False, True]), [0, 2, 3]) + + def test_object_array_accumulate_inplace(self): + # Checks that in-place accumulates work, see also gh-7402 + arr = np.ones(4, dtype=object) + arr[:] = [[1] for i in range(4)] + # Twice reproduced also for tuples: + np.add.accumulate(arr, out=arr) + np.add.accumulate(arr, out=arr) + assert_array_equal(arr, + np.array([[1]*i for i in [1, 3, 6, 10]], dtype=object), + ) + + # And the same if the axis argument is used + arr = np.ones((2, 4), dtype=object) + arr[0, :] = [[2] for i in range(4)] + np.add.accumulate(arr, out=arr, axis=-1) + np.add.accumulate(arr, out=arr, axis=-1) + assert_array_equal(arr[0, :], + np.array([[2]*i for i in [1, 3, 6, 10]], dtype=object), + ) + + def test_object_array_accumulate_failure(self): + # Typical accumulation on object works as expected: + res = np.add.accumulate(np.array([1, 0, 2], dtype=object)) + assert_array_equal(res, np.array([1, 1, 3], dtype=object)) + # But errors are propagated from the inner-loop if they occur: + with pytest.raises(TypeError): + np.add.accumulate([1, None, 2]) + + def test_object_array_reduceat_inplace(self): + # Checks that in-place reduceats work, see also gh-7465 + arr = np.empty(4, dtype=object) + arr[:] = [[1] for i in range(4)] + out = np.empty(4, dtype=object) + out[:] = [[1] for i in range(4)] + np.add.reduceat(arr, np.arange(4), out=arr) + np.add.reduceat(arr, np.arange(4), out=arr) + assert_array_equal(arr, out) + + # And the same if the axis argument is used + arr = np.ones((2, 4), dtype=object) + arr[0, :] = [[2] for i in range(4)] + out = np.ones((2, 4), dtype=object) + out[0, :] = [[2] for i in range(4)] + np.add.reduceat(arr, np.arange(4), out=arr, axis=-1) + np.add.reduceat(arr, np.arange(4), out=arr, axis=-1) + assert_array_equal(arr, out) + + def test_object_array_reduceat_failure(self): + # Reduceat works as expected when no invalid operation occurs (None is + # not involved in an operation here) + res = np.add.reduceat(np.array([1, None, 2], dtype=object), [1, 2]) + assert_array_equal(res, np.array([None, 2], dtype=object)) + # But errors when None would be involved in an operation: + with pytest.raises(TypeError): + np.add.reduceat([1, None, 2], [0, 2]) + + def test_zerosize_reduction(self): + # Test with default dtype and object dtype + for a in [[], np.array([], dtype=object)]: + assert_equal(np.sum(a), 0) + assert_equal(np.prod(a), 1) + assert_equal(np.any(a), False) + assert_equal(np.all(a), True) + assert_raises(ValueError, np.max, a) + assert_raises(ValueError, np.min, a) + + def test_axis_out_of_bounds(self): + a = np.array([False, False]) + assert_raises(AxisError, a.all, axis=1) + a = np.array([False, False]) + assert_raises(AxisError, a.all, axis=-2) + + a = np.array([False, False]) + assert_raises(AxisError, a.any, axis=1) + a = np.array([False, False]) + assert_raises(AxisError, a.any, axis=-2) + + def test_scalar_reduction(self): + # The functions 'sum', 'prod', etc allow specifying axis=0 + # even for scalars + assert_equal(np.sum(3, axis=0), 3) + assert_equal(np.prod(3.5, axis=0), 3.5) + assert_equal(np.any(True, axis=0), True) + assert_equal(np.all(False, axis=0), False) + assert_equal(np.max(3, axis=0), 3) + assert_equal(np.min(2.5, axis=0), 2.5) + + # Check scalar behaviour for ufuncs without an identity + assert_equal(np.power.reduce(3), 3) + + # Make sure that scalars are coming out from this operation + assert_(type(np.prod(np.float32(2.5), axis=0)) is np.float32) + assert_(type(np.sum(np.float32(2.5), axis=0)) is np.float32) + assert_(type(np.max(np.float32(2.5), axis=0)) is np.float32) + assert_(type(np.min(np.float32(2.5), axis=0)) is np.float32) + + # check if scalars/0-d arrays get cast + assert_(type(np.any(0, axis=0)) is np.bool) + + # assert that 0-d arrays get wrapped + class MyArray(np.ndarray): + pass + a = np.array(1).view(MyArray) + assert_(type(np.any(a)) is MyArray) + + def test_casting_out_param(self): + # Test that it's possible to do casts on output + a = np.ones((200, 100), np.int64) + b = np.ones((200, 100), np.int64) + c = np.ones((200, 100), np.float64) + np.add(a, b, out=c) + assert_equal(c, 2) + + a = np.zeros(65536) + b = np.zeros(65536, dtype=np.float32) + np.subtract(a, 0, out=b) + assert_equal(b, 0) + + def test_where_param(self): + # Test that the where= ufunc parameter works with regular arrays + a = np.arange(7) + b = np.ones(7) + c = np.zeros(7) + np.add(a, b, out=c, where=(a % 2 == 1)) + assert_equal(c, [0, 2, 0, 4, 0, 6, 0]) + + a = np.arange(4).reshape(2, 2) + 2 + np.power(a, [2, 3], out=a, where=[[0, 1], [1, 0]]) + assert_equal(a, [[2, 27], [16, 5]]) + # Broadcasting the where= parameter + np.subtract(a, 2, out=a, where=[True, False]) + assert_equal(a, [[0, 27], [14, 5]]) + + def test_where_param_buffer_output(self): + # This test is temporarily skipped because it requires + # adding masking features to the nditer to work properly + + # With casting on output + a = np.ones(10, np.int64) + b = np.ones(10, np.int64) + c = 1.5 * np.ones(10, np.float64) + np.add(a, b, out=c, where=[1, 0, 0, 1, 0, 0, 1, 1, 1, 0]) + assert_equal(c, [2, 1.5, 1.5, 2, 1.5, 1.5, 2, 2, 2, 1.5]) + + def test_where_param_alloc(self): + # With casting and allocated output + a = np.array([1], dtype=np.int64) + m = np.array([True], dtype=bool) + assert_equal(np.sqrt(a, where=m), [1]) + + # No casting and allocated output + a = np.array([1], dtype=np.float64) + m = np.array([True], dtype=bool) + assert_equal(np.sqrt(a, where=m), [1]) + + def test_where_with_broadcasting(self): + # See gh-17198 + a = np.random.random((5000, 4)) + b = np.random.random((5000, 1)) + + where = a > 0.3 + out = np.full_like(a, 0) + np.less(a, b, where=where, out=out) + b_where = np.broadcast_to(b, a.shape)[where] + assert_array_equal((a[where] < b_where), out[where].astype(bool)) + assert not out[~where].any() # outside mask, out remains all 0 + + @staticmethod + def identityless_reduce_arrs(): + yield np.empty((2, 3, 4), order='C') + yield np.empty((2, 3, 4), order='F') + # Mixed order (reduce order differs outer) + yield np.empty((2, 4, 3), order='C').swapaxes(1, 2) + # Reversed order + yield np.empty((2, 3, 4), order='C')[::-1, ::-1, ::-1] + # Not contiguous + yield np.empty((3, 5, 4), order='C').swapaxes(1, 2)[1:, 1:, 1:] + # Not contiguous and not aligned + a = np.empty((3*4*5*8 + 1,), dtype='i1') + a = a[1:].view(dtype='f8') + a.shape = (3, 4, 5) + a = a[1:, 1:, 1:] + yield a + + @pytest.mark.parametrize("a", identityless_reduce_arrs()) + @pytest.mark.parametrize("pos", [(1, 0, 0), (0, 1, 0), (0, 0, 1)]) + def test_identityless_reduction(self, a, pos): + # np.minimum.reduce is an identityless reduction + a[...] = 1 + a[pos] = 0 + + for axis in [None, (0, 1), (0, 2), (1, 2), 0, 1, 2, ()]: + if axis is None: + axes = np.array([], dtype=np.intp) + else: + axes = np.delete(np.arange(a.ndim), axis) + + expected_pos = tuple(np.array(pos)[axes]) + expected = np.ones(np.array(a.shape)[axes]) + expected[expected_pos] = 0 + + res = np.minimum.reduce(a, axis=axis) + assert_equal(res, expected, strict=True) + + res = np.full_like(res, np.nan) + np.minimum.reduce(a, axis=axis, out=res) + assert_equal(res, expected, strict=True) + + @requires_memory(6 * 1024**3) + @pytest.mark.skipif(sys.maxsize < 2**32, + reason="test array too large for 32bit platform") + def test_identityless_reduction_huge_array(self): + # Regression test for gh-20921 (copying identity incorrectly failed) + arr = np.zeros((2, 2**31), 'uint8') + arr[:, 0] = [1, 3] + arr[:, -1] = [4, 1] + res = np.maximum.reduce(arr, axis=0) + del arr + assert res[0] == 3 + assert res[-1] == 4 + + def test_reduce_identity_depends_on_loop(self): + """ + The type of the result should always depend on the selected loop, not + necessarily the output (only relevant for object arrays). + """ + # For an object loop, the default value 0 with type int is used: + assert type(np.add.reduce([], dtype=object)) is int + out = np.array(None, dtype=object) + # When the loop is float64 but `out` is object this does not happen, + # the result is float64 cast to object (which gives Python `float`). + np.add.reduce([], out=out, dtype=np.float64) + assert type(out[()]) is float + + def test_initial_reduction(self): + # np.minimum.reduce is an identityless reduction + + # For cases like np.maximum(np.abs(...), initial=0) + # More generally, a supremum over non-negative numbers. + assert_equal(np.maximum.reduce([], initial=0), 0) + + # For cases like reduction of an empty array over the reals. + assert_equal(np.minimum.reduce([], initial=np.inf), np.inf) + assert_equal(np.maximum.reduce([], initial=-np.inf), -np.inf) + + # Random tests + assert_equal(np.minimum.reduce([5], initial=4), 4) + assert_equal(np.maximum.reduce([4], initial=5), 5) + assert_equal(np.maximum.reduce([5], initial=4), 5) + assert_equal(np.minimum.reduce([4], initial=5), 4) + + # Check initial=None raises ValueError for both types of ufunc reductions + assert_raises(ValueError, np.minimum.reduce, [], initial=None) + assert_raises(ValueError, np.add.reduce, [], initial=None) + # Also in the somewhat special object case: + with pytest.raises(ValueError): + np.add.reduce([], initial=None, dtype=object) + + # Check that np._NoValue gives default behavior. + assert_equal(np.add.reduce([], initial=np._NoValue), 0) + + # Check that initial kwarg behaves as intended for dtype=object + a = np.array([10], dtype=object) + res = np.add.reduce(a, initial=5) + assert_equal(res, 15) + + def test_empty_reduction_and_identity(self): + arr = np.zeros((0, 5)) + # OK, since the reduction itself is *not* empty, the result is + assert np.true_divide.reduce(arr, axis=1).shape == (0,) + # Not OK, the reduction itself is empty and we have no identity + with pytest.raises(ValueError): + np.true_divide.reduce(arr, axis=0) + + # Test that an empty reduction fails also if the result is empty + arr = np.zeros((0, 0, 5)) + with pytest.raises(ValueError): + np.true_divide.reduce(arr, axis=1) + + # Division reduction makes sense with `initial=1` (empty or not): + res = np.true_divide.reduce(arr, axis=1, initial=1) + assert_array_equal(res, np.ones((0, 5))) + + @pytest.mark.parametrize('axis', (0, 1, None)) + @pytest.mark.parametrize('where', (np.array([False, True, True]), + np.array([[True], [False], [True]]), + np.array([[True, False, False], + [False, True, False], + [False, True, True]]))) + def test_reduction_with_where(self, axis, where): + a = np.arange(9.).reshape(3, 3) + a_copy = a.copy() + a_check = np.zeros_like(a) + np.positive(a, out=a_check, where=where) + + res = np.add.reduce(a, axis=axis, where=where) + check = a_check.sum(axis) + assert_equal(res, check) + # Check we do not overwrite elements of a internally. + assert_array_equal(a, a_copy) + + @pytest.mark.parametrize(('axis', 'where'), + ((0, np.array([True, False, True])), + (1, [True, True, False]), + (None, True))) + @pytest.mark.parametrize('initial', (-np.inf, 5.)) + def test_reduction_with_where_and_initial(self, axis, where, initial): + a = np.arange(9.).reshape(3, 3) + a_copy = a.copy() + a_check = np.full(a.shape, -np.inf) + np.positive(a, out=a_check, where=where) + + res = np.maximum.reduce(a, axis=axis, where=where, initial=initial) + check = a_check.max(axis, initial=initial) + assert_equal(res, check) + + def test_reduction_where_initial_needed(self): + a = np.arange(9.).reshape(3, 3) + m = [False, True, False] + assert_raises(ValueError, np.maximum.reduce, a, where=m) + + def test_identityless_reduction_nonreorderable(self): + a = np.array([[8.0, 2.0, 2.0], [1.0, 0.5, 0.25]]) + + res = np.divide.reduce(a, axis=0) + assert_equal(res, [8.0, 4.0, 8.0]) + + res = np.divide.reduce(a, axis=1) + assert_equal(res, [2.0, 8.0]) + + res = np.divide.reduce(a, axis=()) + assert_equal(res, a) + + assert_raises(ValueError, np.divide.reduce, a, axis=(0, 1)) + + def test_reduce_zero_axis(self): + # If we have a n x m array and do a reduction with axis=1, then we are + # doing n reductions, and each reduction takes an m-element array. For + # a reduction operation without an identity, then: + # n > 0, m > 0: fine + # n = 0, m > 0: fine, doing 0 reductions of m-element arrays + # n > 0, m = 0: can't reduce a 0-element array, ValueError + # n = 0, m = 0: can't reduce a 0-element array, ValueError (for + # consistency with the above case) + # This test doesn't actually look at return values, it just checks to + # make sure that error we get an error in exactly those cases where we + # expect one, and assumes the calculations themselves are done + # correctly. + + def ok(f, *args, **kwargs): + f(*args, **kwargs) + + def err(f, *args, **kwargs): + assert_raises(ValueError, f, *args, **kwargs) + + def t(expect, func, n, m): + expect(func, np.zeros((n, m)), axis=1) + expect(func, np.zeros((m, n)), axis=0) + expect(func, np.zeros((n // 2, n // 2, m)), axis=2) + expect(func, np.zeros((n // 2, m, n // 2)), axis=1) + expect(func, np.zeros((n, m // 2, m // 2)), axis=(1, 2)) + expect(func, np.zeros((m // 2, n, m // 2)), axis=(0, 2)) + expect(func, np.zeros((m // 3, m // 3, m // 3, + n // 2, n // 2)), + axis=(0, 1, 2)) + # Check what happens if the inner (resp. outer) dimensions are a + # mix of zero and non-zero: + expect(func, np.zeros((10, m, n)), axis=(0, 1)) + expect(func, np.zeros((10, n, m)), axis=(0, 2)) + expect(func, np.zeros((m, 10, n)), axis=0) + expect(func, np.zeros((10, m, n)), axis=1) + expect(func, np.zeros((10, n, m)), axis=2) + + # np.maximum is just an arbitrary ufunc with no reduction identity + assert_equal(np.maximum.identity, None) + t(ok, np.maximum.reduce, 30, 30) + t(ok, np.maximum.reduce, 0, 30) + t(err, np.maximum.reduce, 30, 0) + t(err, np.maximum.reduce, 0, 0) + err(np.maximum.reduce, []) + np.maximum.reduce(np.zeros((0, 0)), axis=()) + + # all of the combinations are fine for a reduction that has an + # identity + t(ok, np.add.reduce, 30, 30) + t(ok, np.add.reduce, 0, 30) + t(ok, np.add.reduce, 30, 0) + t(ok, np.add.reduce, 0, 0) + np.add.reduce([]) + np.add.reduce(np.zeros((0, 0)), axis=()) + + # OTOH, accumulate always makes sense for any combination of n and m, + # because it maps an m-element array to an m-element array. These + # tests are simpler because accumulate doesn't accept multiple axes. + for uf in (np.maximum, np.add): + uf.accumulate(np.zeros((30, 0)), axis=0) + uf.accumulate(np.zeros((0, 30)), axis=0) + uf.accumulate(np.zeros((30, 30)), axis=0) + uf.accumulate(np.zeros((0, 0)), axis=0) + + def test_safe_casting(self): + # In old versions of numpy, in-place operations used the 'unsafe' + # casting rules. In versions >= 1.10, 'same_kind' is the + # default and an exception is raised instead of a warning. + # when 'same_kind' is not satisfied. + a = np.array([1, 2, 3], dtype=int) + # Non-in-place addition is fine + assert_array_equal(assert_no_warnings(np.add, a, 1.1), + [2.1, 3.1, 4.1]) + assert_raises(TypeError, np.add, a, 1.1, out=a) + + def add_inplace(a, b): + a += b + + assert_raises(TypeError, add_inplace, a, 1.1) + # Make sure that explicitly overriding the exception is allowed: + assert_no_warnings(np.add, a, 1.1, out=a, casting="unsafe") + assert_array_equal(a, [2, 3, 4]) + + def test_ufunc_custom_out(self): + # Test ufunc with built in input types and custom output type + + a = np.array([0, 1, 2], dtype='i8') + b = np.array([0, 1, 2], dtype='i8') + c = np.empty(3, dtype=_rational_tests.rational) + + # Output must be specified so numpy knows what + # ufunc signature to look for + result = _rational_tests.test_add(a, b, c) + target = np.array([0, 2, 4], dtype=_rational_tests.rational) + assert_equal(result, target) + + # The new resolution means that we can (usually) find custom loops + # as long as they match exactly: + result = _rational_tests.test_add(a, b) + assert_equal(result, target) + + # This works even more generally, so long the default common-dtype + # promoter works out: + result = _rational_tests.test_add(a, b.astype(np.uint16), out=c) + assert_equal(result, target) + + # This scalar path used to go into legacy promotion, but doesn't now: + result = _rational_tests.test_add(a, np.uint16(2)) + target = np.array([2, 3, 4], dtype=_rational_tests.rational) + assert_equal(result, target) + + def test_operand_flags(self): + a = np.arange(16, dtype=int).reshape(4, 4) + b = np.arange(9, dtype=int).reshape(3, 3) + opflag_tests.inplace_add(a[:-1, :-1], b) + assert_equal(a, np.array([[0, 2, 4, 3], [7, 9, 11, 7], + [14, 16, 18, 11], [12, 13, 14, 15]])) + + a = np.array(0) + opflag_tests.inplace_add(a, 3) + assert_equal(a, 3) + opflag_tests.inplace_add(a, [3, 4]) + assert_equal(a, 10) + + def test_struct_ufunc(self): + import numpy._core._struct_ufunc_tests as struct_ufunc + + a = np.array([(1, 2, 3)], dtype='u8,u8,u8') + b = np.array([(1, 2, 3)], dtype='u8,u8,u8') + + result = struct_ufunc.add_triplet(a, b) + assert_equal(result, np.array([(2, 4, 6)], dtype='u8,u8,u8')) + assert_raises(RuntimeError, struct_ufunc.register_fail) + + def test_custom_ufunc(self): + a = np.array( + [_rational_tests.rational(1, 2), + _rational_tests.rational(1, 3), + _rational_tests.rational(1, 4)], + dtype=_rational_tests.rational) + b = np.array( + [_rational_tests.rational(1, 2), + _rational_tests.rational(1, 3), + _rational_tests.rational(1, 4)], + dtype=_rational_tests.rational) + + result = _rational_tests.test_add_rationals(a, b) + expected = np.array( + [_rational_tests.rational(1), + _rational_tests.rational(2, 3), + _rational_tests.rational(1, 2)], + dtype=_rational_tests.rational) + assert_equal(result, expected) + + def test_custom_ufunc_forced_sig(self): + # gh-9351 - looking for a non-first userloop would previously hang + with assert_raises(TypeError): + np.multiply(_rational_tests.rational(1), 1, + signature=(_rational_tests.rational, int, None)) + + def test_custom_array_like(self): + + class MyThing: + __array_priority__ = 1000 + + rmul_count = 0 + getitem_count = 0 + + def __init__(self, shape): + self.shape = shape + + def __len__(self): + return self.shape[0] + + def __getitem__(self, i): + MyThing.getitem_count += 1 + if not isinstance(i, tuple): + i = (i,) + if len(i) > self.ndim: + raise IndexError("boo") + + return MyThing(self.shape[len(i):]) + + def __rmul__(self, other): + MyThing.rmul_count += 1 + return self + + np.float64(5)*MyThing((3, 3)) + assert_(MyThing.rmul_count == 1, MyThing.rmul_count) + assert_(MyThing.getitem_count <= 2, MyThing.getitem_count) + + @pytest.mark.parametrize("a", ( + np.arange(10, dtype=int), + np.arange(10, dtype=_rational_tests.rational), + )) + def test_ufunc_at_basic(self, a): + + aa = a.copy() + np.add.at(aa, [2, 5, 2], 1) + assert_equal(aa, [0, 1, 4, 3, 4, 6, 6, 7, 8, 9]) + + with pytest.raises(ValueError): + # missing second operand + np.add.at(aa, [2, 5, 3]) + + aa = a.copy() + np.negative.at(aa, [2, 5, 3]) + assert_equal(aa, [0, 1, -2, -3, 4, -5, 6, 7, 8, 9]) + + aa = a.copy() + b = np.array([100, 100, 100]) + np.add.at(aa, [2, 5, 2], b) + assert_equal(aa, [0, 1, 202, 3, 4, 105, 6, 7, 8, 9]) + + with pytest.raises(ValueError): + # extraneous second operand + np.negative.at(a, [2, 5, 3], [1, 2, 3]) + + with pytest.raises(ValueError): + # second operand cannot be converted to an array + np.add.at(a, [2, 5, 3], [[1, 2], 1]) + + # ufuncs with indexed loops for performance in ufunc.at + indexed_ufuncs = [np.add, np.subtract, np.multiply, np.floor_divide, + np.maximum, np.minimum, np.fmax, np.fmin] + + @pytest.mark.parametrize( + "typecode", np.typecodes['AllInteger'] + np.typecodes['Float']) + @pytest.mark.parametrize("ufunc", indexed_ufuncs) + def test_ufunc_at_inner_loops(self, typecode, ufunc): + if ufunc is np.divide and typecode in np.typecodes['AllInteger']: + # Avoid divide-by-zero and inf for integer divide + a = np.ones(100, dtype=typecode) + indx = np.random.randint(100, size=30, dtype=np.intp) + vals = np.arange(1, 31, dtype=typecode) + else: + a = np.ones(1000, dtype=typecode) + indx = np.random.randint(1000, size=3000, dtype=np.intp) + vals = np.arange(3000, dtype=typecode) + atag = a.copy() + # Do the calculation twice and compare the answers + with warnings.catch_warnings(record=True) as w_at: + warnings.simplefilter('always') + ufunc.at(a, indx, vals) + with warnings.catch_warnings(record=True) as w_loop: + warnings.simplefilter('always') + for i, v in zip(indx, vals): + # Make sure all the work happens inside the ufunc + # in order to duplicate error/warning handling + ufunc(atag[i], v, out=atag[i:i+1], casting="unsafe") + assert_equal(atag, a) + # If w_loop warned, make sure w_at warned as well + if len(w_loop) > 0: + # + assert len(w_at) > 0 + assert w_at[0].category == w_loop[0].category + assert str(w_at[0].message)[:10] == str(w_loop[0].message)[:10] + + @pytest.mark.parametrize("typecode", np.typecodes['Complex']) + @pytest.mark.parametrize("ufunc", [np.add, np.subtract, np.multiply]) + def test_ufunc_at_inner_loops_complex(self, typecode, ufunc): + a = np.ones(10, dtype=typecode) + indx = np.concatenate([np.ones(6, dtype=np.intp), + np.full(18, 4, dtype=np.intp)]) + value = a.dtype.type(1j) + ufunc.at(a, indx, value) + expected = np.ones_like(a) + if ufunc is np.multiply: + expected[1] = expected[4] = -1 + else: + expected[1] += 6 * (value if ufunc is np.add else -value) + expected[4] += 18 * (value if ufunc is np.add else -value) + + assert_array_equal(a, expected) + + def test_ufunc_at_ellipsis(self): + # Make sure the indexed loop check does not choke on iters + # with subspaces + arr = np.zeros(5) + np.add.at(arr, slice(None), np.ones(5)) + assert_array_equal(arr, np.ones(5)) + + def test_ufunc_at_negative(self): + arr = np.ones(5, dtype=np.int32) + indx = np.arange(5) + umt.indexed_negative.at(arr, indx) + # If it is [-1, -1, -1, -100, 0] then the regular strided loop was used + assert np.all(arr == [-1, -1, -1, -200, -1]) + + def test_ufunc_at_large(self): + # issue gh-23457 + indices = np.zeros(8195, dtype=np.int16) + b = np.zeros(8195, dtype=float) + b[0] = 10 + b[1] = 5 + b[8192:] = 100 + a = np.zeros(1, dtype=float) + np.add.at(a, indices, b) + assert a[0] == b.sum() + + def test_cast_index_fastpath(self): + arr = np.zeros(10) + values = np.ones(100000) + # index must be cast, which may be buffered in chunks: + index = np.zeros(len(values), dtype=np.uint8) + np.add.at(arr, index, values) + assert arr[0] == len(values) + + @pytest.mark.parametrize("value", [ + np.ones(1), np.ones(()), np.float64(1.), 1.]) + def test_ufunc_at_scalar_value_fastpath(self, value): + arr = np.zeros(1000) + # index must be cast, which may be buffered in chunks: + index = np.repeat(np.arange(1000), 2) + np.add.at(arr, index, value) + assert_array_equal(arr, np.full_like(arr, 2 * value)) + + def test_ufunc_at_multiD(self): + a = np.arange(9).reshape(3, 3) + b = np.array([[100, 100, 100], [200, 200, 200], [300, 300, 300]]) + np.add.at(a, (slice(None), [1, 2, 1]), b) + assert_equal(a, [[0, 201, 102], [3, 404, 205], [6, 607, 308]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (slice(None), slice(None), [1, 2, 1]), b) + assert_equal(a, + [[[0, 401, 202], + [3, 404, 205], + [6, 407, 208]], + + [[9, 410, 211], + [12, 413, 214], + [15, 416, 217]], + + [[18, 419, 220], + [21, 422, 223], + [24, 425, 226]]]) + + a = np.arange(9).reshape(3, 3) + b = np.array([[100, 100, 100], [200, 200, 200], [300, 300, 300]]) + np.add.at(a, ([1, 2, 1], slice(None)), b) + assert_equal(a, [[0, 1, 2], [403, 404, 405], [206, 207, 208]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (slice(None), [1, 2, 1], slice(None)), b) + assert_equal(a, + [[[0, 1, 2], + [203, 404, 605], + [106, 207, 308]], + + [[9, 10, 11], + [212, 413, 614], + [115, 216, 317]], + + [[18, 19, 20], + [221, 422, 623], + [124, 225, 326]]]) + + a = np.arange(9).reshape(3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (0, [1, 2, 1]), b) + assert_equal(a, [[0, 401, 202], [3, 4, 5], [6, 7, 8]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, ([1, 2, 1], 0, slice(None)), b) + assert_equal(a, + [[[0, 1, 2], + [3, 4, 5], + [6, 7, 8]], + + [[209, 410, 611], + [12, 13, 14], + [15, 16, 17]], + + [[118, 219, 320], + [21, 22, 23], + [24, 25, 26]]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (slice(None), slice(None), slice(None)), b) + assert_equal(a, + [[[100, 201, 302], + [103, 204, 305], + [106, 207, 308]], + + [[109, 210, 311], + [112, 213, 314], + [115, 216, 317]], + + [[118, 219, 320], + [121, 222, 323], + [124, 225, 326]]]) + + def test_ufunc_at_0D(self): + a = np.array(0) + np.add.at(a, (), 1) + assert_equal(a, 1) + + assert_raises(IndexError, np.add.at, a, 0, 1) + assert_raises(IndexError, np.add.at, a, [], 1) + + def test_ufunc_at_dtypes(self): + # Test mixed dtypes + a = np.arange(10) + np.power.at(a, [1, 2, 3, 2], 3.5) + assert_equal(a, np.array([0, 1, 4414, 46, 4, 5, 6, 7, 8, 9])) + + def test_ufunc_at_boolean(self): + # Test boolean indexing and boolean ufuncs + a = np.arange(10) + index = a % 2 == 0 + np.equal.at(a, index, [0, 2, 4, 6, 8]) + assert_equal(a, [1, 1, 1, 3, 1, 5, 1, 7, 1, 9]) + + # Test unary operator + a = np.arange(10, dtype='u4') + np.invert.at(a, [2, 5, 2]) + assert_equal(a, [0, 1, 2, 3, 4, 5 ^ 0xffffffff, 6, 7, 8, 9]) + + def test_ufunc_at_advanced(self): + # Test empty subspace + orig = np.arange(4) + a = orig[:, None][:, 0:0] + np.add.at(a, [0, 1], 3) + assert_array_equal(orig, np.arange(4)) + + # Test with swapped byte order + index = np.array([1, 2, 1], np.dtype('i').newbyteorder()) + values = np.array([1, 2, 3, 4], np.dtype('f').newbyteorder()) + np.add.at(values, index, 3) + assert_array_equal(values, [1, 8, 6, 4]) + + # Test exception thrown + values = np.array(['a', 1], dtype=object) + assert_raises(TypeError, np.add.at, values, [0, 1], 1) + assert_array_equal(values, np.array(['a', 1], dtype=object)) + + # Test multiple output ufuncs raise error, gh-5665 + assert_raises(ValueError, np.modf.at, np.arange(10), [1]) + + # Test maximum + a = np.array([1, 2, 3]) + np.maximum.at(a, [0], 0) + assert_equal(a, np.array([1, 2, 3])) + + @pytest.mark.parametrize("dtype", + np.typecodes['AllInteger'] + np.typecodes['Float']) + @pytest.mark.parametrize("ufunc", + [np.add, np.subtract, np.divide, np.minimum, np.maximum]) + def test_at_negative_indexes(self, dtype, ufunc): + a = np.arange(0, 10).astype(dtype) + indxs = np.array([-1, 1, -1, 2]).astype(np.intp) + vals = np.array([1, 5, 2, 10], dtype=a.dtype) + + expected = a.copy() + for i, v in zip(indxs, vals): + expected[i] = ufunc(expected[i], v) + + ufunc.at(a, indxs, vals) + assert_array_equal(a, expected) + assert np.all(indxs == [-1, 1, -1, 2]) + + def test_at_not_none_signature(self): + # Test ufuncs with non-trivial signature raise a TypeError + a = np.ones((2, 2, 2)) + b = np.ones((1, 2, 2)) + assert_raises(TypeError, np.matmul.at, a, [0], b) + + a = np.array([[[1, 2], [3, 4]]]) + assert_raises(TypeError, np.linalg._umath_linalg.det.at, a, [0]) + + def test_at_no_loop_for_op(self): + # str dtype does not have a ufunc loop for np.add + arr = np.ones(10, dtype=str) + with pytest.raises(np._core._exceptions._UFuncNoLoopError): + np.add.at(arr, [0, 1], [0, 1]) + + def test_at_output_casting(self): + arr = np.array([-1]) + np.equal.at(arr, [0], [0]) + assert arr[0] == 0 + + def test_at_broadcast_failure(self): + arr = np.arange(5) + with pytest.raises(ValueError): + np.add.at(arr, [0, 1], [1, 2, 3]) + + + def test_reduce_arguments(self): + f = np.add.reduce + d = np.ones((5,2), dtype=int) + o = np.ones((2,), dtype=d.dtype) + r = o * 5 + assert_equal(f(d), r) + # a, axis=0, dtype=None, out=None, keepdims=False + assert_equal(f(d, axis=0), r) + assert_equal(f(d, 0), r) + assert_equal(f(d, 0, dtype=None), r) + assert_equal(f(d, 0, dtype='i'), r) + assert_equal(f(d, 0, 'i'), r) + assert_equal(f(d, 0, None), r) + assert_equal(f(d, 0, None, out=None), r) + assert_equal(f(d, 0, None, out=o), r) + assert_equal(f(d, 0, None, o), r) + assert_equal(f(d, 0, None, None), r) + assert_equal(f(d, 0, None, None, keepdims=False), r) + assert_equal(f(d, 0, None, None, True), r.reshape((1,) + r.shape)) + assert_equal(f(d, 0, None, None, False, 0), r) + assert_equal(f(d, 0, None, None, False, initial=0), r) + assert_equal(f(d, 0, None, None, False, 0, True), r) + assert_equal(f(d, 0, None, None, False, 0, where=True), r) + # multiple keywords + assert_equal(f(d, axis=0, dtype=None, out=None, keepdims=False), r) + assert_equal(f(d, 0, dtype=None, out=None, keepdims=False), r) + assert_equal(f(d, 0, None, out=None, keepdims=False), r) + assert_equal(f(d, 0, None, out=None, keepdims=False, initial=0, + where=True), r) + + # too little + assert_raises(TypeError, f) + # too much + assert_raises(TypeError, f, d, 0, None, None, False, 0, True, 1) + # invalid axis + assert_raises(TypeError, f, d, "invalid") + assert_raises(TypeError, f, d, axis="invalid") + assert_raises(TypeError, f, d, axis="invalid", dtype=None, + keepdims=True) + # invalid dtype + assert_raises(TypeError, f, d, 0, "invalid") + assert_raises(TypeError, f, d, dtype="invalid") + assert_raises(TypeError, f, d, dtype="invalid", out=None) + # invalid out + assert_raises(TypeError, f, d, 0, None, "invalid") + assert_raises(TypeError, f, d, out="invalid") + assert_raises(TypeError, f, d, out="invalid", dtype=None) + # keepdims boolean, no invalid value + # assert_raises(TypeError, f, d, 0, None, None, "invalid") + # assert_raises(TypeError, f, d, keepdims="invalid", axis=0, dtype=None) + # invalid mix + assert_raises(TypeError, f, d, 0, keepdims="invalid", dtype="invalid", + out=None) + + # invalid keyword + assert_raises(TypeError, f, d, axis=0, dtype=None, invalid=0) + assert_raises(TypeError, f, d, invalid=0) + assert_raises(TypeError, f, d, 0, keepdims=True, invalid="invalid", + out=None) + assert_raises(TypeError, f, d, axis=0, dtype=None, keepdims=True, + out=None, invalid=0) + assert_raises(TypeError, f, d, axis=0, dtype=None, + out=None, invalid=0) + + def test_structured_equal(self): + # https://github.com/numpy/numpy/issues/4855 + + class MyA(np.ndarray): + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + return getattr(ufunc, method)(*(input.view(np.ndarray) + for input in inputs), **kwargs) + a = np.arange(12.).reshape(4,3) + ra = a.view(dtype=('f8,f8,f8')).squeeze() + mra = ra.view(MyA) + + target = np.array([ True, False, False, False], dtype=bool) + assert_equal(np.all(target == (mra == ra[0])), True) + + def test_scalar_equal(self): + # Scalar comparisons should always work, without deprecation warnings. + # even when the ufunc fails. + a = np.array(0.) + b = np.array('a') + assert_(a != b) + assert_(b != a) + assert_(not (a == b)) + assert_(not (b == a)) + + def test_NotImplemented_not_returned(self): + # See gh-5964 and gh-2091. Some of these functions are not operator + # related and were fixed for other reasons in the past. + binary_funcs = [ + np.power, np.add, np.subtract, np.multiply, np.divide, + np.true_divide, np.floor_divide, np.bitwise_and, np.bitwise_or, + np.bitwise_xor, np.left_shift, np.right_shift, np.fmax, + np.fmin, np.fmod, np.hypot, np.logaddexp, np.logaddexp2, + np.maximum, np.minimum, np.mod, + np.greater, np.greater_equal, np.less, np.less_equal, + np.equal, np.not_equal] + + a = np.array('1') + b = 1 + c = np.array([1., 2.]) + for f in binary_funcs: + assert_raises(TypeError, f, a, b) + assert_raises(TypeError, f, c, a) + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or]) # logical_xor object loop is bad + @pytest.mark.parametrize("signature", + [(None, None, object), (object, None, None), + (None, object, None)]) + def test_logical_ufuncs_object_signatures(self, ufunc, signature): + a = np.array([True, None, False], dtype=object) + res = ufunc(a, a, signature=signature) + assert res.dtype == object + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + @pytest.mark.parametrize("signature", + [(bool, None, object), (object, None, bool), + (None, object, bool)]) + def test_logical_ufuncs_mixed_object_signatures(self, ufunc, signature): + # Most mixed signatures fail (except those with bool out, e.g. `OO->?`) + a = np.array([True, None, False]) + with pytest.raises(TypeError): + ufunc(a, a, signature=signature) + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + def test_logical_ufuncs_support_anything(self, ufunc): + # The logical ufuncs support even input that can't be promoted: + a = np.array(b'1', dtype="V3") + c = np.array([1., 2.]) + assert_array_equal(ufunc(a, c), ufunc([True, True], True)) + assert ufunc.reduce(a) == True + # check that the output has no effect: + out = np.zeros(2, dtype=np.int32) + expected = ufunc([True, True], True).astype(out.dtype) + assert_array_equal(ufunc(a, c, out=out), expected) + out = np.zeros((), dtype=np.int32) + assert ufunc.reduce(a, out=out) == True + # Last check, test reduction when out and a match (the complexity here + # is that the "i,i->?" may seem right, but should not match. + a = np.array([3], dtype="i") + out = np.zeros((), dtype=a.dtype) + assert ufunc.reduce(a, out=out) == 1 + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + @pytest.mark.parametrize("dtype", ["S", "U"]) + @pytest.mark.parametrize("values", [["1", "hi", "0"], ["", ""]]) + def test_logical_ufuncs_supports_string(self, ufunc, dtype, values): + # note that values are either all true or all false + arr = np.array(values, dtype=dtype) + obj_arr = np.array(values, dtype=object) + res = ufunc(arr, arr) + expected = ufunc(obj_arr, obj_arr, dtype=bool) + + assert_array_equal(res, expected) + + res = ufunc.reduce(arr) + expected = ufunc.reduce(obj_arr, dtype=bool) + assert_array_equal(res, expected) + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + def test_logical_ufuncs_out_cast_check(self, ufunc): + a = np.array('1') + c = np.array([1., 2.]) + out = a.copy() + with pytest.raises(TypeError): + # It would be safe, but not equiv casting: + ufunc(a, c, out=out, casting="equiv") + + def test_reducelike_byteorder_resolution(self): + # See gh-20699, byte-order changes need some extra care in the type + # resolution to make the following succeed: + arr_be = np.arange(10, dtype=">i8") + arr_le = np.arange(10, dtype="i + if 'O' in typ or '?' in typ: + continue + inp, out = typ.split('->') + args = [np.ones((3, 3), t) for t in inp] + with warnings.catch_warnings(record=True): + warnings.filterwarnings("always") + res = ufunc(*args) + if isinstance(res, tuple): + outs = tuple(out) + assert len(res) == len(outs) + for r, t in zip(res, outs): + assert r.dtype == np.dtype(t) + else: + assert res.dtype == np.dtype(out) + +@pytest.mark.parametrize('ufunc', [getattr(np, x) for x in dir(np) + if isinstance(getattr(np, x), np.ufunc)]) +def test_ufunc_noncontiguous(ufunc): + ''' + Check that contiguous and non-contiguous calls to ufuncs + have the same results for values in range(9) + ''' + for typ in ufunc.types: + # types is a list of strings like ii->i + if any(set('O?mM') & set(typ)): + # bool, object, datetime are too irregular for this simple test + continue + inp, out = typ.split('->') + args_c = [np.empty((6, 6), t) for t in inp] + # non contiguous (2, 3 step on the two dimensions) + args_n = [np.empty((12, 18), t)[::2, ::3] for t in inp] + # alignment != itemsize is possible. So create an array with such + # an odd step manually. + args_o = [] + for t in inp: + orig_dt = np.dtype(t) + off_dt = f"S{orig_dt.alignment}" # offset by alignment + dtype = np.dtype([("_", off_dt), ("t", orig_dt)], align=False) + args_o.append(np.empty((6, 6), dtype=dtype)["t"]) + for a in args_c + args_n + args_o: + a.flat = range(1, 37) + + with warnings.catch_warnings(record=True): + warnings.filterwarnings("always") + res_c = ufunc(*args_c) + res_n = ufunc(*args_n) + res_o = ufunc(*args_o) + if len(out) == 1: + res_c = (res_c,) + res_n = (res_n,) + res_o = (res_o,) + for c_ar, n_ar, o_ar in zip(res_c, res_n, res_o): + dt = c_ar.dtype + if np.issubdtype(dt, np.floating): + # for floating point results allow a small fuss in comparisons + # since different algorithms (libm vs. intrinsics) can be used + # for different input strides + res_eps = np.finfo(dt).eps + tol = 3*res_eps + assert_allclose(res_c, res_n, atol=tol, rtol=tol) + assert_allclose(res_c, res_o, atol=tol, rtol=tol) + else: + assert_equal(c_ar, n_ar) + assert_equal(c_ar, o_ar) + + +@pytest.mark.parametrize('ufunc', [np.sign, np.equal]) +def test_ufunc_warn_with_nan(ufunc): + # issue gh-15127 + # test that calling certain ufuncs with a non-standard `nan` value does not + # emit a warning + # `b` holds a 64 bit signaling nan: the most significant bit of the + # significand is zero. + b = np.array([0x7ff0000000000001], 'i8').view('f8') + assert np.isnan(b) + if ufunc.nin == 1: + ufunc(b) + elif ufunc.nin == 2: + ufunc(b, b.copy()) + else: + raise ValueError('ufunc with more than 2 inputs') + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +def test_ufunc_out_casterrors(): + # Tests that casting errors are correctly reported and buffers are + # cleared. + # The following array can be added to itself as an object array, but + # the result cannot be cast to an integer output: + value = 123 # relies on python cache (leak-check will still find it) + arr = np.array([value] * int(ncu.BUFSIZE * 1.5) + + ["string"] + + [value] * int(1.5 * ncu.BUFSIZE), dtype=object) + out = np.ones(len(arr), dtype=np.intp) + + count = sys.getrefcount(value) + with pytest.raises(ValueError): + # Output casting failure: + np.add(arr, arr, out=out, casting="unsafe") + + assert count == sys.getrefcount(value) + # output is unchanged after the error, this shows that the iteration + # was aborted (this is not necessarily defined behaviour) + assert out[-1] == 1 + + with pytest.raises(ValueError): + # Input casting failure: + np.add(arr, arr, out=out, dtype=np.intp, casting="unsafe") + + assert count == sys.getrefcount(value) + # output is unchanged after the error, this shows that the iteration + # was aborted (this is not necessarily defined behaviour) + assert out[-1] == 1 + + +@pytest.mark.parametrize("bad_offset", [0, int(ncu.BUFSIZE * 1.5)]) +def test_ufunc_input_casterrors(bad_offset): + value = 123 + arr = np.array([value] * bad_offset + + ["string"] + + [value] * int(1.5 * ncu.BUFSIZE), dtype=object) + with pytest.raises(ValueError): + # Force cast inputs, but the buffered cast of `arr` to intp fails: + np.add(arr, arr, dtype=np.intp, casting="unsafe") + + +@pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") +@pytest.mark.parametrize("bad_offset", [0, int(ncu.BUFSIZE * 1.5)]) +def test_ufunc_input_floatingpoint_error(bad_offset): + value = 123 + arr = np.array([value] * bad_offset + + [np.nan] + + [value] * int(1.5 * ncu.BUFSIZE)) + with np.errstate(invalid="raise"), pytest.raises(FloatingPointError): + # Force cast inputs, but the buffered cast of `arr` to intp fails: + np.add(arr, arr, dtype=np.intp, casting="unsafe") + + +def test_trivial_loop_invalid_cast(): + # This tests the fast-path "invalid cast", see gh-19904. + with pytest.raises(TypeError, + match="cast ufunc 'add' input 0"): + # the void dtype definitely cannot cast to double: + np.add(np.array(1, "i,i"), 3, signature="dd->d") + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +@pytest.mark.parametrize("offset", + [0, ncu.BUFSIZE//2, int(1.5*ncu.BUFSIZE)]) +def test_reduce_casterrors(offset): + # Test reporting of casting errors in reductions, we test various + # offsets to where the casting error will occur, since these may occur + # at different places during the reduction procedure. For example + # the first item may be special. + value = 123 # relies on python cache (leak-check will still find it) + arr = np.array([value] * offset + + ["string"] + + [value] * int(1.5 * ncu.BUFSIZE), dtype=object) + out = np.array(-1, dtype=np.intp) + + count = sys.getrefcount(value) + with pytest.raises(ValueError, match="invalid literal"): + # This is an unsafe cast, but we currently always allow that. + # Note that the double loop is picked, but the cast fails. + # `initial=None` disables the use of an identity here to test failures + # while copying the first values path (not used when identity exists). + np.add.reduce(arr, dtype=np.intp, out=out, initial=None) + assert count == sys.getrefcount(value) + # If an error occurred during casting, the operation is done at most until + # the error occurs (the result of which would be `value * offset`) and -1 + # if the error happened immediately. + # This does not define behaviour, the output is invalid and thus undefined + assert out[()] < value * offset + + +def test_object_reduce_cleanup_on_failure(): + # Test cleanup, including of the initial value (manually provided or not) + with pytest.raises(TypeError): + np.add.reduce([1, 2, None], initial=4) + + with pytest.raises(TypeError): + np.add.reduce([1, 2, None]) + + +@pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") +@pytest.mark.parametrize("method", + [np.add.accumulate, np.add.reduce, + pytest.param(lambda x: np.add.reduceat(x, [0]), id="reduceat"), + pytest.param(lambda x: np.log.at(x, [2]), id="at")]) +def test_ufunc_methods_floaterrors(method): + # adding inf and -inf (or log(-inf) creates an invalid float and warns + arr = np.array([np.inf, 0, -np.inf]) + with np.errstate(all="warn"): + with pytest.warns(RuntimeWarning, match="invalid value"): + method(arr) + + arr = np.array([np.inf, 0, -np.inf]) + with np.errstate(all="raise"): + with pytest.raises(FloatingPointError): + method(arr) + + +def _check_neg_zero(value): + if value != 0.0: + return False + if not np.signbit(value.real): + return False + if value.dtype.kind == "c": + return np.signbit(value.imag) + return True + +@pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) +def test_addition_negative_zero(dtype): + dtype = np.dtype(dtype) + if dtype.kind == "c": + neg_zero = dtype.type(complex(-0.0, -0.0)) + else: + neg_zero = dtype.type(-0.0) + + arr = np.array(neg_zero) + arr2 = np.array(neg_zero) + + assert _check_neg_zero(arr + arr2) + # In-place ops may end up on a different path (reduce path) see gh-21211 + arr += arr2 + assert _check_neg_zero(arr) + + +@pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) +@pytest.mark.parametrize("use_initial", [True, False]) +def test_addition_reduce_negative_zero(dtype, use_initial): + dtype = np.dtype(dtype) + if dtype.kind == "c": + neg_zero = dtype.type(complex(-0.0, -0.0)) + else: + neg_zero = dtype.type(-0.0) + + kwargs = {} + if use_initial: + kwargs["initial"] = neg_zero + else: + pytest.xfail("-0. propagation in sum currently requires initial") + + # Test various length, in case SIMD paths or chunking play a role. + # 150 extends beyond the pairwise blocksize; probably not important. + for i in range(0, 150): + arr = np.array([neg_zero] * i, dtype=dtype) + res = np.sum(arr, **kwargs) + if i > 0 or use_initial: + assert _check_neg_zero(res) + else: + # `sum([])` should probably be 0.0 and not -0.0 like `sum([-0.0])` + assert not np.signbit(res.real) + assert not np.signbit(res.imag) + + +@pytest.mark.parametrize(["dt1", "dt2"], + [("S", "U"), ("U", "S"), ("S", "d"), ("S", "V"), ("U", "l")]) +def test_addition_string_types(dt1, dt2): + arr1 = np.array([1234234], dtype=dt1) + arr2 = np.array([b"423"], dtype=dt2) + with pytest.raises(np._core._exceptions.UFuncTypeError) as exc: + np.add(arr1, arr2) + + +@pytest.mark.parametrize("order1,order2", + [(">", ">"), ("<", "<"), (">", "<"), ("<", ">")]) +def test_addition_unicode_inverse_byte_order(order1, order2): + element = 'abcd' + arr1 = np.array([element], dtype=f"{order1}U4") + arr2 = np.array([element], dtype=f"{order2}U4") + result = arr1 + arr2 + assert result == 2*element + + +@pytest.mark.parametrize("dtype", [np.int8, np.int16, np.int32, np.int64]) +def test_find_non_long_args(dtype): + element = 'abcd' + start = dtype(0) + end = dtype(len(element)) + arr = np.array([element]) + result = np._core.umath.find(arr, "a", start, end) + assert result.dtype == np.dtype("intp") + assert result == 0 + + +def test_find_access_past_buffer(): + # This checks that no read past the string buffer occurs in + # string_fastsearch.h. The buffer class makes sure this is checked. + # To see it in action, you can remove the checks in the buffer and + # this test will produce an 'Invalid read' if run under valgrind. + arr = np.array([b'abcd', b'ebcd']) + result = np._core.umath.find(arr, b'cde', 0, np.iinfo(np.int64).max) + assert np.all(result == -1) + + +class TestLowlevelAPIAccess: + def test_resolve_dtypes_basic(self): + # Basic test for dtype resolution: + i4 = np.dtype("i4") + f4 = np.dtype("f4") + f8 = np.dtype("f8") + + r = np.add.resolve_dtypes((i4, f4, None)) + assert r == (f8, f8, f8) + + # Signature uses the same logic to parse as ufunc (less strict) + # the following is "same-kind" casting so works: + r = np.add.resolve_dtypes(( + i4, i4, None), signature=(None, None, "f4")) + assert r == (f4, f4, f4) + + # Check NEP 50 "weak" promotion also: + r = np.add.resolve_dtypes((f4, int, None)) + assert r == (f4, f4, f4) + + with pytest.raises(TypeError): + np.add.resolve_dtypes((i4, f4, None), casting="no") + + def test_resolve_dtypes_comparison(self): + i4 = np.dtype("i4") + i8 = np.dtype("i8") + b = np.dtype("?") + r = np.equal.resolve_dtypes((i4, i8, None)) + assert r == (i8, i8, b) + + def test_weird_dtypes(self): + S0 = np.dtype("S0") + # S0 is often converted by NumPy to S1, but not here: + r = np.equal.resolve_dtypes((S0, S0, None)) + assert r == (S0, S0, np.dtype(bool)) + + # Subarray dtypes are weird and may not work fully, we preserve them + # leading to a TypeError (currently no equal loop for void/structured) + dts = np.dtype("10i") + with pytest.raises(TypeError): + np.equal.resolve_dtypes((dts, dts, None)) + + def test_resolve_dtypes_reduction(self): + i2 = np.dtype("i2") + default_int_ = np.dtype(np.int_) + # Check special addition resolution: + res = np.add.resolve_dtypes((None, i2, None), reduction=True) + assert res == (default_int_, default_int_, default_int_) + + def test_resolve_dtypes_reduction_no_output(self): + i4 = np.dtype("i4") + with pytest.raises(TypeError): + # May be allowable at some point? + np.add.resolve_dtypes((i4, i4, i4), reduction=True) + + @pytest.mark.parametrize("dtypes", [ + (np.dtype("i"), np.dtype("i")), + (None, np.dtype("i"), np.dtype("f")), + (np.dtype("i"), None, np.dtype("f")), + ("i4", "i4", None)]) + def test_resolve_dtypes_errors(self, dtypes): + with pytest.raises(TypeError): + np.add.resolve_dtypes(dtypes) + + def test_resolve_dtypes_reduction_errors(self): + i2 = np.dtype("i2") + + with pytest.raises(TypeError): + np.add.resolve_dtypes((None, i2, i2)) + + with pytest.raises(TypeError): + np.add.signature((None, None, "i4")) + + @pytest.mark.skipif(not hasattr(ct, "pythonapi"), + reason="`ctypes.pythonapi` required for capsule unpacking.") + def test_loop_access(self): + # This is a basic test for the full strided loop access + data_t = ct.c_char_p * 2 + dim_t = ct.c_ssize_t * 1 + strides_t = ct.c_ssize_t * 2 + strided_loop_t = ct.CFUNCTYPE( + ct.c_int, ct.c_void_p, data_t, dim_t, strides_t, ct.c_void_p) + + class call_info_t(ct.Structure): + _fields_ = [ + ("strided_loop", strided_loop_t), + ("context", ct.c_void_p), + ("auxdata", ct.c_void_p), + ("requires_pyapi", ct.c_byte), + ("no_floatingpoint_errors", ct.c_byte), + ] + + i4 = np.dtype("i4") + dt, call_info_obj = np.negative._resolve_dtypes_and_context((i4, i4)) + assert dt == (i4, i4) # can be used without casting + + # Fill in the rest of the information: + np.negative._get_strided_loop(call_info_obj) + + ct.pythonapi.PyCapsule_GetPointer.restype = ct.c_void_p + call_info = ct.pythonapi.PyCapsule_GetPointer( + ct.py_object(call_info_obj), + ct.c_char_p(b"numpy_1.24_ufunc_call_info")) + + call_info = ct.cast(call_info, ct.POINTER(call_info_t)).contents + + arr = np.arange(10, dtype=i4) + call_info.strided_loop( + call_info.context, + data_t(arr.ctypes.data, arr.ctypes.data), + arr.ctypes.shape, # is a C-array with 10 here + strides_t(arr.ctypes.strides[0], arr.ctypes.strides[0]), + call_info.auxdata) + + # We just directly called the negative inner-loop in-place: + assert_array_equal(arr, -np.arange(10, dtype=i4)) + + @pytest.mark.parametrize("strides", [1, (1, 2, 3), (1, "2")]) + def test__get_strided_loop_errors_bad_strides(self, strides): + i4 = np.dtype("i4") + dt, call_info = np.negative._resolve_dtypes_and_context((i4, i4)) + + with pytest.raises(TypeError, match="fixed_strides.*tuple.*or None"): + np.negative._get_strided_loop(call_info, fixed_strides=strides) + + def test__get_strided_loop_errors_bad_call_info(self): + i4 = np.dtype("i4") + dt, call_info = np.negative._resolve_dtypes_and_context((i4, i4)) + + with pytest.raises(ValueError, match="PyCapsule"): + np.negative._get_strided_loop("not the capsule!") + + with pytest.raises(TypeError, match=".*incompatible context"): + np.add._get_strided_loop(call_info) + + np.negative._get_strided_loop(call_info) + with pytest.raises(TypeError): + # cannot call it a second time: + np.negative._get_strided_loop(call_info) + + def test_long_arrays(self): + t = np.zeros((1029, 917), dtype=np.single) + t[0][0] = 1 + t[28][414] = 1 + tc = np.cos(t) + assert_equal(tc[0][0], tc[28][414]) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath.py new file mode 100644 index 0000000000000000000000000000000000000000..4d56c785d5a726b5b08ce639e55fcaf1166eeb43 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath.py @@ -0,0 +1,4897 @@ +import platform +import warnings +import fnmatch +import itertools +import pytest +import sys +import operator +from fractions import Fraction +from functools import reduce +from collections import namedtuple + +import numpy._core.umath as ncu +from numpy._core import _umath_tests as ncu_tests, sctypes +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_raises_regex, + assert_array_equal, assert_almost_equal, assert_array_almost_equal, + assert_array_max_ulp, assert_allclose, assert_no_warnings, suppress_warnings, + _gen_alignment_data, assert_array_almost_equal_nulp, IS_WASM, IS_MUSL, + IS_PYPY, HAS_REFCOUNT + ) +from numpy.testing._private.utils import _glibc_older_than + +UFUNCS = [obj for obj in np._core.umath.__dict__.values() + if isinstance(obj, np.ufunc)] + +UFUNCS_UNARY = [ + uf for uf in UFUNCS if uf.nin == 1 +] +UFUNCS_UNARY_FP = [ + uf for uf in UFUNCS_UNARY if 'f->f' in uf.types +] + +UFUNCS_BINARY = [ + uf for uf in UFUNCS if uf.nin == 2 +] +UFUNCS_BINARY_ACC = [ + uf for uf in UFUNCS_BINARY if hasattr(uf, "accumulate") and uf.nout == 1 +] + +def interesting_binop_operands(val1, val2, dtype): + """ + Helper to create "interesting" operands to cover common code paths: + * scalar inputs + * only first "values" is an array (e.g. scalar division fast-paths) + * Longer array (SIMD) placing the value of interest at different positions + * Oddly strided arrays which may not be SIMD compatible + + It does not attempt to cover unaligned access or mixed dtypes. + These are normally handled by the casting/buffering machinery. + + This is not a fixture (currently), since I believe a fixture normally + only yields once? + """ + fill_value = 1 # could be a parameter, but maybe not an optional one? + + arr1 = np.full(10003, dtype=dtype, fill_value=fill_value) + arr2 = np.full(10003, dtype=dtype, fill_value=fill_value) + + arr1[0] = val1 + arr2[0] = val2 + + extractor = lambda res: res + yield arr1[0], arr2[0], extractor, "scalars" + + extractor = lambda res: res + yield arr1[0, ...], arr2[0, ...], extractor, "scalar-arrays" + + # reset array values to fill_value: + arr1[0] = fill_value + arr2[0] = fill_value + + for pos in [0, 1, 2, 3, 4, 5, -1, -2, -3, -4]: + arr1[pos] = val1 + arr2[pos] = val2 + + extractor = lambda res: res[pos] + yield arr1, arr2, extractor, f"off-{pos}" + yield arr1, arr2[pos], extractor, f"off-{pos}-with-scalar" + + arr1[pos] = fill_value + arr2[pos] = fill_value + + for stride in [-1, 113]: + op1 = arr1[::stride] + op2 = arr2[::stride] + op1[10] = val1 + op2[10] = val2 + + extractor = lambda res: res[10] + yield op1, op2, extractor, f"stride-{stride}" + + op1[10] = fill_value + op2[10] = fill_value + + +def on_powerpc(): + """ True if we are running on a Power PC platform.""" + return platform.processor() == 'powerpc' or \ + platform.machine().startswith('ppc') + + +def bad_arcsinh(): + """The blocklisted trig functions are not accurate on aarch64/PPC for + complex256. Rather than dig through the actual problem skip the + test. This should be fixed when we can move past glibc2.17 + which is the version in manylinux2014 + """ + if platform.machine() == 'aarch64': + x = 1.78e-10 + elif on_powerpc(): + x = 2.16e-10 + else: + return False + v1 = np.arcsinh(np.float128(x)) + v2 = np.arcsinh(np.complex256(x)).real + # The eps for float128 is 1-e33, so this is way bigger + return abs((v1 / v2) - 1.0) > 1e-23 + + +class _FilterInvalids: + def setup_method(self): + self.olderr = np.seterr(invalid='ignore') + + def teardown_method(self): + np.seterr(**self.olderr) + + +class TestConstants: + def test_pi(self): + assert_allclose(ncu.pi, 3.141592653589793, 1e-15) + + def test_e(self): + assert_allclose(ncu.e, 2.718281828459045, 1e-15) + + def test_euler_gamma(self): + assert_allclose(ncu.euler_gamma, 0.5772156649015329, 1e-15) + + +class TestOut: + def test_out_subok(self): + for subok in (True, False): + a = np.array(0.5) + o = np.empty(()) + + r = np.add(a, 2, o, subok=subok) + assert_(r is o) + r = np.add(a, 2, out=o, subok=subok) + assert_(r is o) + r = np.add(a, 2, out=(o,), subok=subok) + assert_(r is o) + + d = np.array(5.7) + o1 = np.empty(()) + o2 = np.empty((), dtype=np.int32) + + r1, r2 = np.frexp(d, o1, None, subok=subok) + assert_(r1 is o1) + r1, r2 = np.frexp(d, None, o2, subok=subok) + assert_(r2 is o2) + r1, r2 = np.frexp(d, o1, o2, subok=subok) + assert_(r1 is o1) + assert_(r2 is o2) + + r1, r2 = np.frexp(d, out=(o1, None), subok=subok) + assert_(r1 is o1) + r1, r2 = np.frexp(d, out=(None, o2), subok=subok) + assert_(r2 is o2) + r1, r2 = np.frexp(d, out=(o1, o2), subok=subok) + assert_(r1 is o1) + assert_(r2 is o2) + + with assert_raises(TypeError): + # Out argument must be tuple, since there are multiple outputs. + r1, r2 = np.frexp(d, out=o1, subok=subok) + + assert_raises(TypeError, np.add, a, 2, o, o, subok=subok) + assert_raises(TypeError, np.add, a, 2, o, out=o, subok=subok) + assert_raises(TypeError, np.add, a, 2, None, out=o, subok=subok) + assert_raises(ValueError, np.add, a, 2, out=(o, o), subok=subok) + assert_raises(ValueError, np.add, a, 2, out=(), subok=subok) + assert_raises(TypeError, np.add, a, 2, [], subok=subok) + assert_raises(TypeError, np.add, a, 2, out=[], subok=subok) + assert_raises(TypeError, np.add, a, 2, out=([],), subok=subok) + o.flags.writeable = False + assert_raises(ValueError, np.add, a, 2, o, subok=subok) + assert_raises(ValueError, np.add, a, 2, out=o, subok=subok) + assert_raises(ValueError, np.add, a, 2, out=(o,), subok=subok) + + def test_out_wrap_subok(self): + class ArrayWrap(np.ndarray): + __array_priority__ = 10 + + def __new__(cls, arr): + return np.asarray(arr).view(cls).copy() + + def __array_wrap__(self, arr, context=None, return_scalar=False): + return arr.view(type(self)) + + for subok in (True, False): + a = ArrayWrap([0.5]) + + r = np.add(a, 2, subok=subok) + if subok: + assert_(isinstance(r, ArrayWrap)) + else: + assert_(type(r) == np.ndarray) + + r = np.add(a, 2, None, subok=subok) + if subok: + assert_(isinstance(r, ArrayWrap)) + else: + assert_(type(r) == np.ndarray) + + r = np.add(a, 2, out=None, subok=subok) + if subok: + assert_(isinstance(r, ArrayWrap)) + else: + assert_(type(r) == np.ndarray) + + r = np.add(a, 2, out=(None,), subok=subok) + if subok: + assert_(isinstance(r, ArrayWrap)) + else: + assert_(type(r) == np.ndarray) + + d = ArrayWrap([5.7]) + o1 = np.empty((1,)) + o2 = np.empty((1,), dtype=np.int32) + + r1, r2 = np.frexp(d, o1, subok=subok) + if subok: + assert_(isinstance(r2, ArrayWrap)) + else: + assert_(type(r2) == np.ndarray) + + r1, r2 = np.frexp(d, o1, None, subok=subok) + if subok: + assert_(isinstance(r2, ArrayWrap)) + else: + assert_(type(r2) == np.ndarray) + + r1, r2 = np.frexp(d, None, o2, subok=subok) + if subok: + assert_(isinstance(r1, ArrayWrap)) + else: + assert_(type(r1) == np.ndarray) + + r1, r2 = np.frexp(d, out=(o1, None), subok=subok) + if subok: + assert_(isinstance(r2, ArrayWrap)) + else: + assert_(type(r2) == np.ndarray) + + r1, r2 = np.frexp(d, out=(None, o2), subok=subok) + if subok: + assert_(isinstance(r1, ArrayWrap)) + else: + assert_(type(r1) == np.ndarray) + + with assert_raises(TypeError): + # Out argument must be tuple, since there are multiple outputs. + r1, r2 = np.frexp(d, out=o1, subok=subok) + + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + def test_out_wrap_no_leak(self): + # Regression test for gh-26545 + class ArrSubclass(np.ndarray): + pass + + arr = np.arange(10).view(ArrSubclass) + + arr *= 1 + assert sys.getrefcount(arr) == 2 + + +class TestComparisons: + import operator + + @pytest.mark.parametrize('dtype', sctypes['uint'] + sctypes['int'] + + sctypes['float'] + [np.bool]) + @pytest.mark.parametrize('py_comp,np_comp', [ + (operator.lt, np.less), + (operator.le, np.less_equal), + (operator.gt, np.greater), + (operator.ge, np.greater_equal), + (operator.eq, np.equal), + (operator.ne, np.not_equal) + ]) + def test_comparison_functions(self, dtype, py_comp, np_comp): + # Initialize input arrays + if dtype == np.bool: + a = np.random.choice(a=[False, True], size=1000) + b = np.random.choice(a=[False, True], size=1000) + scalar = True + else: + a = np.random.randint(low=1, high=10, size=1000).astype(dtype) + b = np.random.randint(low=1, high=10, size=1000).astype(dtype) + scalar = 5 + np_scalar = np.dtype(dtype).type(scalar) + a_lst = a.tolist() + b_lst = b.tolist() + + # (Binary) Comparison (x1=array, x2=array) + comp_b = np_comp(a, b).view(np.uint8) + comp_b_list = [int(py_comp(x, y)) for x, y in zip(a_lst, b_lst)] + + # (Scalar1) Comparison (x1=scalar, x2=array) + comp_s1 = np_comp(np_scalar, b).view(np.uint8) + comp_s1_list = [int(py_comp(scalar, x)) for x in b_lst] + + # (Scalar2) Comparison (x1=array, x2=scalar) + comp_s2 = np_comp(a, np_scalar).view(np.uint8) + comp_s2_list = [int(py_comp(x, scalar)) for x in a_lst] + + # Sequence: Binary, Scalar1 and Scalar2 + assert_(comp_b.tolist() == comp_b_list, + f"Failed comparison ({py_comp.__name__})") + assert_(comp_s1.tolist() == comp_s1_list, + f"Failed comparison ({py_comp.__name__})") + assert_(comp_s2.tolist() == comp_s2_list, + f"Failed comparison ({py_comp.__name__})") + + def test_ignore_object_identity_in_equal(self): + # Check comparing identical objects whose comparison + # is not a simple boolean, e.g., arrays that are compared elementwise. + a = np.array([np.array([1, 2, 3]), None], dtype=object) + assert_raises(ValueError, np.equal, a, a) + + # Check error raised when comparing identical non-comparable objects. + class FunkyType: + def __eq__(self, other): + raise TypeError("I won't compare") + + a = np.array([FunkyType()]) + assert_raises(TypeError, np.equal, a, a) + + # Check identity doesn't override comparison mismatch. + a = np.array([np.nan], dtype=object) + assert_equal(np.equal(a, a), [False]) + + def test_ignore_object_identity_in_not_equal(self): + # Check comparing identical objects whose comparison + # is not a simple boolean, e.g., arrays that are compared elementwise. + a = np.array([np.array([1, 2, 3]), None], dtype=object) + assert_raises(ValueError, np.not_equal, a, a) + + # Check error raised when comparing identical non-comparable objects. + class FunkyType: + def __ne__(self, other): + raise TypeError("I won't compare") + + a = np.array([FunkyType()]) + assert_raises(TypeError, np.not_equal, a, a) + + # Check identity doesn't override comparison mismatch. + a = np.array([np.nan], dtype=object) + assert_equal(np.not_equal(a, a), [True]) + + def test_error_in_equal_reduce(self): + # gh-20929 + # make sure np.equal.reduce raises a TypeError if an array is passed + # without specifying the dtype + a = np.array([0, 0]) + assert_equal(np.equal.reduce(a, dtype=bool), True) + assert_raises(TypeError, np.equal.reduce, a) + + def test_object_dtype(self): + assert np.equal(1, [1], dtype=object).dtype == object + assert np.equal(1, [1], signature=(None, None, "O")).dtype == object + + def test_object_nonbool_dtype_error(self): + # bool output dtype is fine of course: + assert np.equal(1, [1], dtype=bool).dtype == bool + + # but the following are examples do not have a loop: + with pytest.raises(TypeError, match="No loop matching"): + np.equal(1, 1, dtype=np.int64) + + with pytest.raises(TypeError, match="No loop matching"): + np.equal(1, 1, sig=(None, None, "l")) + + @pytest.mark.parametrize("dtypes", ["qQ", "Qq"]) + @pytest.mark.parametrize('py_comp, np_comp', [ + (operator.lt, np.less), + (operator.le, np.less_equal), + (operator.gt, np.greater), + (operator.ge, np.greater_equal), + (operator.eq, np.equal), + (operator.ne, np.not_equal) + ]) + @pytest.mark.parametrize("vals", [(2**60, 2**60+1), (2**60+1, 2**60)]) + def test_large_integer_direct_comparison( + self, dtypes, py_comp, np_comp, vals): + # Note that float(2**60) + 1 == float(2**60). + a1 = np.array([2**60], dtype=dtypes[0]) + a2 = np.array([2**60 + 1], dtype=dtypes[1]) + expected = py_comp(2**60, 2**60+1) + + assert py_comp(a1, a2) == expected + assert np_comp(a1, a2) == expected + # Also check the scalars: + s1 = a1[0] + s2 = a2[0] + assert isinstance(s1, np.integer) + assert isinstance(s2, np.integer) + # The Python operator here is mainly interesting: + assert py_comp(s1, s2) == expected + assert np_comp(s1, s2) == expected + + @pytest.mark.parametrize("dtype", np.typecodes['UnsignedInteger']) + @pytest.mark.parametrize('py_comp_func, np_comp_func', [ + (operator.lt, np.less), + (operator.le, np.less_equal), + (operator.gt, np.greater), + (operator.ge, np.greater_equal), + (operator.eq, np.equal), + (operator.ne, np.not_equal) + ]) + @pytest.mark.parametrize("flip", [True, False]) + def test_unsigned_signed_direct_comparison( + self, dtype, py_comp_func, np_comp_func, flip): + if flip: + py_comp = lambda x, y: py_comp_func(y, x) + np_comp = lambda x, y: np_comp_func(y, x) + else: + py_comp = py_comp_func + np_comp = np_comp_func + + arr = np.array([np.iinfo(dtype).max], dtype=dtype) + expected = py_comp(int(arr[0]), -1) + + assert py_comp(arr, -1) == expected + assert np_comp(arr, -1) == expected + + scalar = arr[0] + assert isinstance(scalar, np.integer) + # The Python operator here is mainly interesting: + assert py_comp(scalar, -1) == expected + assert np_comp(scalar, -1) == expected + + +class TestAdd: + def test_reduce_alignment(self): + # gh-9876 + # make sure arrays with weird strides work with the optimizations in + # pairwise_sum_@TYPE@. On x86, the 'b' field will count as aligned at a + # 4 byte offset, even though its itemsize is 8. + a = np.zeros(2, dtype=[('a', np.int32), ('b', np.float64)]) + a['a'] = -1 + assert_equal(a['b'].sum(), 0) + + +class TestDivision: + def test_division_int(self): + # int division should follow Python + x = np.array([5, 10, 90, 100, -5, -10, -90, -100, -120]) + if 5 / 10 == 0.5: + assert_equal(x / 100, [0.05, 0.1, 0.9, 1, + -0.05, -0.1, -0.9, -1, -1.2]) + else: + assert_equal(x / 100, [0, 0, 0, 1, -1, -1, -1, -1, -2]) + assert_equal(x // 100, [0, 0, 0, 1, -1, -1, -1, -1, -2]) + assert_equal(x % 100, [5, 10, 90, 0, 95, 90, 10, 0, 80]) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize("dtype,ex_val", itertools.product( + sctypes['int'] + sctypes['uint'], ( + ( + # dividend + "np.array(range(fo.max-lsize, fo.max)).astype(dtype)," + # divisors + "np.arange(lsize).astype(dtype)," + # scalar divisors + "range(15)" + ), + ( + # dividend + "np.arange(fo.min, fo.min+lsize).astype(dtype)," + # divisors + "np.arange(lsize//-2, lsize//2).astype(dtype)," + # scalar divisors + "range(fo.min, fo.min + 15)" + ), ( + # dividend + "np.array(range(fo.max-lsize, fo.max)).astype(dtype)," + # divisors + "np.arange(lsize).astype(dtype)," + # scalar divisors + "[1,3,9,13,neg, fo.min+1, fo.min//2, fo.max//3, fo.max//4]" + ) + ) + )) + def test_division_int_boundary(self, dtype, ex_val): + fo = np.iinfo(dtype) + neg = -1 if fo.min < 0 else 1 + # Large enough to test SIMD loops and remainder elements + lsize = 512 + 7 + a, b, divisors = eval(ex_val) + a_lst, b_lst = a.tolist(), b.tolist() + + c_div = lambda n, d: ( + 0 if d == 0 else ( + fo.min if (n and n == fo.min and d == -1) else n//d + ) + ) + with np.errstate(divide='ignore'): + ac = a.copy() + ac //= b + div_ab = a // b + div_lst = [c_div(x, y) for x, y in zip(a_lst, b_lst)] + + msg = "Integer arrays floor division check (//)" + assert all(div_ab == div_lst), msg + msg_eq = "Integer arrays floor division check (//=)" + assert all(ac == div_lst), msg_eq + + for divisor in divisors: + ac = a.copy() + with np.errstate(divide='ignore', over='ignore'): + div_a = a // divisor + ac //= divisor + div_lst = [c_div(i, divisor) for i in a_lst] + + assert all(div_a == div_lst), msg + assert all(ac == div_lst), msg_eq + + with np.errstate(divide='raise', over='raise'): + if 0 in b: + # Verify overflow case + with pytest.raises(FloatingPointError, + match="divide by zero encountered in floor_divide"): + a // b + else: + a // b + if fo.min and fo.min in a: + with pytest.raises(FloatingPointError, + match='overflow encountered in floor_divide'): + a // -1 + elif fo.min: + a // -1 + with pytest.raises(FloatingPointError, + match="divide by zero encountered in floor_divide"): + a // 0 + with pytest.raises(FloatingPointError, + match="divide by zero encountered in floor_divide"): + ac = a.copy() + ac //= 0 + + np.array([], dtype=dtype) // 0 + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize("dtype,ex_val", itertools.product( + sctypes['int'] + sctypes['uint'], ( + "np.array([fo.max, 1, 2, 1, 1, 2, 3], dtype=dtype)", + "np.array([fo.min, 1, -2, 1, 1, 2, -3]).astype(dtype)", + "np.arange(fo.min, fo.min+(100*10), 10, dtype=dtype)", + "np.array(range(fo.max-(100*7), fo.max, 7)).astype(dtype)", + ) + )) + def test_division_int_reduce(self, dtype, ex_val): + fo = np.iinfo(dtype) + a = eval(ex_val) + lst = a.tolist() + c_div = lambda n, d: ( + 0 if d == 0 or (n and n == fo.min and d == -1) else n//d + ) + + with np.errstate(divide='ignore'): + div_a = np.floor_divide.reduce(a) + div_lst = reduce(c_div, lst) + msg = "Reduce floor integer division check" + assert div_a == div_lst, msg + + with np.errstate(divide='raise', over='raise'): + with pytest.raises(FloatingPointError, + match="divide by zero encountered in reduce"): + np.floor_divide.reduce(np.arange(-100, 100).astype(dtype)) + if fo.min: + with pytest.raises(FloatingPointError, + match='overflow encountered in reduce'): + np.floor_divide.reduce( + np.array([fo.min, 1, -1], dtype=dtype) + ) + + @pytest.mark.parametrize( + "dividend,divisor,quotient", + [(np.timedelta64(2,'Y'), np.timedelta64(2,'M'), 12), + (np.timedelta64(2,'Y'), np.timedelta64(-2,'M'), -12), + (np.timedelta64(-2,'Y'), np.timedelta64(2,'M'), -12), + (np.timedelta64(-2,'Y'), np.timedelta64(-2,'M'), 12), + (np.timedelta64(2,'M'), np.timedelta64(-2,'Y'), -1), + (np.timedelta64(2,'Y'), np.timedelta64(0,'M'), 0), + (np.timedelta64(2,'Y'), 2, np.timedelta64(1,'Y')), + (np.timedelta64(2,'Y'), -2, np.timedelta64(-1,'Y')), + (np.timedelta64(-2,'Y'), 2, np.timedelta64(-1,'Y')), + (np.timedelta64(-2,'Y'), -2, np.timedelta64(1,'Y')), + (np.timedelta64(-2,'Y'), -2, np.timedelta64(1,'Y')), + (np.timedelta64(-2,'Y'), -3, np.timedelta64(0,'Y')), + (np.timedelta64(-2,'Y'), 0, np.timedelta64('Nat','Y')), + ]) + def test_division_int_timedelta(self, dividend, divisor, quotient): + # If either divisor is 0 or quotient is Nat, check for division by 0 + if divisor and (isinstance(quotient, int) or not np.isnat(quotient)): + msg = "Timedelta floor division check" + assert dividend // divisor == quotient, msg + + # Test for arrays as well + msg = "Timedelta arrays floor division check" + dividend_array = np.array([dividend]*5) + quotient_array = np.array([quotient]*5) + assert all(dividend_array // divisor == quotient_array), msg + else: + if IS_WASM: + pytest.skip("fp errors don't work in wasm") + with np.errstate(divide='raise', invalid='raise'): + with pytest.raises(FloatingPointError): + dividend // divisor + + def test_division_complex(self): + # check that implementation is correct + msg = "Complex division implementation check" + x = np.array([1. + 1.*1j, 1. + .5*1j, 1. + 2.*1j], dtype=np.complex128) + assert_almost_equal(x**2/x, x, err_msg=msg) + # check overflow, underflow + msg = "Complex division overflow/underflow check" + x = np.array([1.e+110, 1.e-110], dtype=np.complex128) + y = x**2/x + assert_almost_equal(y/x, [1, 1], err_msg=msg) + + def test_zero_division_complex(self): + with np.errstate(invalid="ignore", divide="ignore"): + x = np.array([0.0], dtype=np.complex128) + y = 1.0/x + assert_(np.isinf(y)[0]) + y = complex(np.inf, np.nan)/x + assert_(np.isinf(y)[0]) + y = complex(np.nan, np.inf)/x + assert_(np.isinf(y)[0]) + y = complex(np.inf, np.inf)/x + assert_(np.isinf(y)[0]) + y = 0.0/x + assert_(np.isnan(y)[0]) + + def test_floor_division_complex(self): + # check that floor division, divmod and remainder raises type errors + x = np.array([.9 + 1j, -.1 + 1j, .9 + .5*1j, .9 + 2.*1j], dtype=np.complex128) + with pytest.raises(TypeError): + x // 7 + with pytest.raises(TypeError): + np.divmod(x, 7) + with pytest.raises(TypeError): + np.remainder(x, 7) + + def test_floor_division_signed_zero(self): + # Check that the sign bit is correctly set when dividing positive and + # negative zero by one. + x = np.zeros(10) + assert_equal(np.signbit(x//1), 0) + assert_equal(np.signbit((-x)//1), 1) + + @pytest.mark.skipif(hasattr(np.__config__, "blas_ssl2_info"), + reason="gh-22982") + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize('dtype', np.typecodes['Float']) + def test_floor_division_errors(self, dtype): + fnan = np.array(np.nan, dtype=dtype) + fone = np.array(1.0, dtype=dtype) + fzer = np.array(0.0, dtype=dtype) + finf = np.array(np.inf, dtype=dtype) + # divide by zero error check + with np.errstate(divide='raise', invalid='ignore'): + assert_raises(FloatingPointError, np.floor_divide, fone, fzer) + with np.errstate(divide='ignore', invalid='raise'): + np.floor_divide(fone, fzer) + + # The following already contain a NaN and should not warn + with np.errstate(all='raise'): + np.floor_divide(fnan, fone) + np.floor_divide(fone, fnan) + np.floor_divide(fnan, fzer) + np.floor_divide(fzer, fnan) + + @pytest.mark.parametrize('dtype', np.typecodes['Float']) + def test_floor_division_corner_cases(self, dtype): + # test corner cases like 1.0//0.0 for errors and return vals + x = np.zeros(10, dtype=dtype) + y = np.ones(10, dtype=dtype) + fnan = np.array(np.nan, dtype=dtype) + fone = np.array(1.0, dtype=dtype) + fzer = np.array(0.0, dtype=dtype) + finf = np.array(np.inf, dtype=dtype) + with suppress_warnings() as sup: + sup.filter(RuntimeWarning, "invalid value encountered in floor_divide") + div = np.floor_divide(fnan, fone) + assert(np.isnan(div)), "div: %s" % div + div = np.floor_divide(fone, fnan) + assert(np.isnan(div)), "div: %s" % div + div = np.floor_divide(fnan, fzer) + assert(np.isnan(div)), "div: %s" % div + # verify 1.0//0.0 computations return inf + with np.errstate(divide='ignore'): + z = np.floor_divide(y, x) + assert_(np.isinf(z).all()) + +def floor_divide_and_remainder(x, y): + return (np.floor_divide(x, y), np.remainder(x, y)) + + +def _signs(dt): + if dt in np.typecodes['UnsignedInteger']: + return (+1,) + else: + return (+1, -1) + + +class TestRemainder: + + def test_remainder_basic(self): + dt = np.typecodes['AllInteger'] + np.typecodes['Float'] + for op in [floor_divide_and_remainder, np.divmod]: + for dt1, dt2 in itertools.product(dt, dt): + for sg1, sg2 in itertools.product(_signs(dt1), _signs(dt2)): + fmt = 'op: %s, dt1: %s, dt2: %s, sg1: %s, sg2: %s' + msg = fmt % (op.__name__, dt1, dt2, sg1, sg2) + a = np.array(sg1*71, dtype=dt1) + b = np.array(sg2*19, dtype=dt2) + div, rem = op(a, b) + assert_equal(div*b + rem, a, err_msg=msg) + if sg2 == -1: + assert_(b < rem <= 0, msg) + else: + assert_(b > rem >= 0, msg) + + def test_float_remainder_exact(self): + # test that float results are exact for small integers. This also + # holds for the same integers scaled by powers of two. + nlst = list(range(-127, 0)) + plst = list(range(1, 128)) + dividend = nlst + [0] + plst + divisor = nlst + plst + arg = list(itertools.product(dividend, divisor)) + tgt = list(divmod(*t) for t in arg) + + a, b = np.array(arg, dtype=int).T + # convert exact integer results from Python to float so that + # signed zero can be used, it is checked. + tgtdiv, tgtrem = np.array(tgt, dtype=float).T + tgtdiv = np.where((tgtdiv == 0.0) & ((b < 0) ^ (a < 0)), -0.0, tgtdiv) + tgtrem = np.where((tgtrem == 0.0) & (b < 0), -0.0, tgtrem) + + for op in [floor_divide_and_remainder, np.divmod]: + for dt in np.typecodes['Float']: + msg = 'op: %s, dtype: %s' % (op.__name__, dt) + fa = a.astype(dt) + fb = b.astype(dt) + div, rem = op(fa, fb) + assert_equal(div, tgtdiv, err_msg=msg) + assert_equal(rem, tgtrem, err_msg=msg) + + def test_float_remainder_roundoff(self): + # gh-6127 + dt = np.typecodes['Float'] + for op in [floor_divide_and_remainder, np.divmod]: + for dt1, dt2 in itertools.product(dt, dt): + for sg1, sg2 in itertools.product((+1, -1), (+1, -1)): + fmt = 'op: %s, dt1: %s, dt2: %s, sg1: %s, sg2: %s' + msg = fmt % (op.__name__, dt1, dt2, sg1, sg2) + a = np.array(sg1*78*6e-8, dtype=dt1) + b = np.array(sg2*6e-8, dtype=dt2) + div, rem = op(a, b) + # Equal assertion should hold when fmod is used + assert_equal(div*b + rem, a, err_msg=msg) + if sg2 == -1: + assert_(b < rem <= 0, msg) + else: + assert_(b > rem >= 0, msg) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.xfail(sys.platform.startswith("darwin"), + reason="MacOS seems to not give the correct 'invalid' warning for " + "`fmod`. Hopefully, others always do.") + @pytest.mark.parametrize('dtype', np.typecodes['Float']) + def test_float_divmod_errors(self, dtype): + # Check valid errors raised for divmod and remainder + fzero = np.array(0.0, dtype=dtype) + fone = np.array(1.0, dtype=dtype) + finf = np.array(np.inf, dtype=dtype) + fnan = np.array(np.nan, dtype=dtype) + # since divmod is combination of both remainder and divide + # ops it will set both dividebyzero and invalid flags + with np.errstate(divide='raise', invalid='ignore'): + assert_raises(FloatingPointError, np.divmod, fone, fzero) + with np.errstate(divide='ignore', invalid='raise'): + assert_raises(FloatingPointError, np.divmod, fone, fzero) + with np.errstate(invalid='raise'): + assert_raises(FloatingPointError, np.divmod, fzero, fzero) + with np.errstate(invalid='raise'): + assert_raises(FloatingPointError, np.divmod, finf, finf) + with np.errstate(divide='ignore', invalid='raise'): + assert_raises(FloatingPointError, np.divmod, finf, fzero) + with np.errstate(divide='raise', invalid='ignore'): + # inf / 0 does not set any flags, only the modulo creates a NaN + np.divmod(finf, fzero) + + @pytest.mark.skipif(hasattr(np.__config__, "blas_ssl2_info"), + reason="gh-22982") + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.xfail(sys.platform.startswith("darwin"), + reason="MacOS seems to not give the correct 'invalid' warning for " + "`fmod`. Hopefully, others always do.") + @pytest.mark.parametrize('dtype', np.typecodes['Float']) + @pytest.mark.parametrize('fn', [np.fmod, np.remainder]) + def test_float_remainder_errors(self, dtype, fn): + fzero = np.array(0.0, dtype=dtype) + fone = np.array(1.0, dtype=dtype) + finf = np.array(np.inf, dtype=dtype) + fnan = np.array(np.nan, dtype=dtype) + + # The following already contain a NaN and should not warn. + with np.errstate(all='raise'): + with pytest.raises(FloatingPointError, + match="invalid value"): + fn(fone, fzero) + fn(fnan, fzero) + fn(fzero, fnan) + fn(fone, fnan) + fn(fnan, fone) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_float_remainder_overflow(self): + a = np.finfo(np.float64).tiny + with np.errstate(over='ignore', invalid='ignore'): + div, mod = np.divmod(4, a) + np.isinf(div) + assert_(mod == 0) + with np.errstate(over='raise', invalid='ignore'): + assert_raises(FloatingPointError, np.divmod, 4, a) + with np.errstate(invalid='raise', over='ignore'): + assert_raises(FloatingPointError, np.divmod, 4, a) + + def test_float_divmod_corner_cases(self): + # check nan cases + for dt in np.typecodes['Float']: + fnan = np.array(np.nan, dtype=dt) + fone = np.array(1.0, dtype=dt) + fzer = np.array(0.0, dtype=dt) + finf = np.array(np.inf, dtype=dt) + with suppress_warnings() as sup: + sup.filter(RuntimeWarning, "invalid value encountered in divmod") + sup.filter(RuntimeWarning, "divide by zero encountered in divmod") + div, rem = np.divmod(fone, fzer) + assert(np.isinf(div)), 'dt: %s, div: %s' % (dt, rem) + assert(np.isnan(rem)), 'dt: %s, rem: %s' % (dt, rem) + div, rem = np.divmod(fzer, fzer) + assert(np.isnan(rem)), 'dt: %s, rem: %s' % (dt, rem) + assert_(np.isnan(div)), 'dt: %s, rem: %s' % (dt, rem) + div, rem = np.divmod(finf, finf) + assert(np.isnan(div)), 'dt: %s, rem: %s' % (dt, rem) + assert(np.isnan(rem)), 'dt: %s, rem: %s' % (dt, rem) + div, rem = np.divmod(finf, fzer) + assert(np.isinf(div)), 'dt: %s, rem: %s' % (dt, rem) + assert(np.isnan(rem)), 'dt: %s, rem: %s' % (dt, rem) + div, rem = np.divmod(fnan, fone) + assert(np.isnan(rem)), "dt: %s, rem: %s" % (dt, rem) + assert(np.isnan(div)), "dt: %s, rem: %s" % (dt, rem) + div, rem = np.divmod(fone, fnan) + assert(np.isnan(rem)), "dt: %s, rem: %s" % (dt, rem) + assert(np.isnan(div)), "dt: %s, rem: %s" % (dt, rem) + div, rem = np.divmod(fnan, fzer) + assert(np.isnan(rem)), "dt: %s, rem: %s" % (dt, rem) + assert(np.isnan(div)), "dt: %s, rem: %s" % (dt, rem) + + def test_float_remainder_corner_cases(self): + # Check remainder magnitude. + for dt in np.typecodes['Float']: + fone = np.array(1.0, dtype=dt) + fzer = np.array(0.0, dtype=dt) + fnan = np.array(np.nan, dtype=dt) + b = np.array(1.0, dtype=dt) + a = np.nextafter(np.array(0.0, dtype=dt), -b) + rem = np.remainder(a, b) + assert_(rem <= b, 'dt: %s' % dt) + rem = np.remainder(-a, -b) + assert_(rem >= -b, 'dt: %s' % dt) + + # Check nans, inf + with suppress_warnings() as sup: + sup.filter(RuntimeWarning, "invalid value encountered in remainder") + sup.filter(RuntimeWarning, "invalid value encountered in fmod") + for dt in np.typecodes['Float']: + fone = np.array(1.0, dtype=dt) + fzer = np.array(0.0, dtype=dt) + finf = np.array(np.inf, dtype=dt) + fnan = np.array(np.nan, dtype=dt) + rem = np.remainder(fone, fzer) + assert_(np.isnan(rem), 'dt: %s, rem: %s' % (dt, rem)) + # MSVC 2008 returns NaN here, so disable the check. + #rem = np.remainder(fone, finf) + #assert_(rem == fone, 'dt: %s, rem: %s' % (dt, rem)) + rem = np.remainder(finf, fone) + fmod = np.fmod(finf, fone) + assert_(np.isnan(fmod), 'dt: %s, fmod: %s' % (dt, fmod)) + assert_(np.isnan(rem), 'dt: %s, rem: %s' % (dt, rem)) + rem = np.remainder(finf, finf) + fmod = np.fmod(finf, fone) + assert_(np.isnan(rem), 'dt: %s, rem: %s' % (dt, rem)) + assert_(np.isnan(fmod), 'dt: %s, fmod: %s' % (dt, fmod)) + rem = np.remainder(finf, fzer) + fmod = np.fmod(finf, fzer) + assert_(np.isnan(rem), 'dt: %s, rem: %s' % (dt, rem)) + assert_(np.isnan(fmod), 'dt: %s, fmod: %s' % (dt, fmod)) + rem = np.remainder(fone, fnan) + fmod = np.fmod(fone, fnan) + assert_(np.isnan(rem), 'dt: %s, rem: %s' % (dt, rem)) + assert_(np.isnan(fmod), 'dt: %s, fmod: %s' % (dt, fmod)) + rem = np.remainder(fnan, fzer) + fmod = np.fmod(fnan, fzer) + assert_(np.isnan(rem), 'dt: %s, rem: %s' % (dt, rem)) + assert_(np.isnan(fmod), 'dt: %s, fmod: %s' % (dt, rem)) + rem = np.remainder(fnan, fone) + fmod = np.fmod(fnan, fone) + assert_(np.isnan(rem), 'dt: %s, rem: %s' % (dt, rem)) + assert_(np.isnan(fmod), 'dt: %s, fmod: %s' % (dt, rem)) + + +class TestDivisionIntegerOverflowsAndDivideByZero: + result_type = namedtuple('result_type', + ['nocast', 'casted']) + helper_lambdas = { + 'zero': lambda dtype: 0, + 'min': lambda dtype: np.iinfo(dtype).min, + 'neg_min': lambda dtype: -np.iinfo(dtype).min, + 'min-zero': lambda dtype: (np.iinfo(dtype).min, 0), + 'neg_min-zero': lambda dtype: (-np.iinfo(dtype).min, 0), + } + overflow_results = { + np.remainder: result_type( + helper_lambdas['zero'], helper_lambdas['zero']), + np.fmod: result_type( + helper_lambdas['zero'], helper_lambdas['zero']), + operator.mod: result_type( + helper_lambdas['zero'], helper_lambdas['zero']), + operator.floordiv: result_type( + helper_lambdas['min'], helper_lambdas['neg_min']), + np.floor_divide: result_type( + helper_lambdas['min'], helper_lambdas['neg_min']), + np.divmod: result_type( + helper_lambdas['min-zero'], helper_lambdas['neg_min-zero']) + } + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize("dtype", np.typecodes["Integer"]) + def test_signed_division_overflow(self, dtype): + to_check = interesting_binop_operands(np.iinfo(dtype).min, -1, dtype) + for op1, op2, extractor, operand_identifier in to_check: + with pytest.warns(RuntimeWarning, match="overflow encountered"): + res = op1 // op2 + + assert res.dtype == op1.dtype + assert extractor(res) == np.iinfo(op1.dtype).min + + # Remainder is well defined though, and does not warn: + res = op1 % op2 + assert res.dtype == op1.dtype + assert extractor(res) == 0 + # Check fmod as well: + res = np.fmod(op1, op2) + assert extractor(res) == 0 + + # Divmod warns for the division part: + with pytest.warns(RuntimeWarning, match="overflow encountered"): + res1, res2 = np.divmod(op1, op2) + + assert res1.dtype == res2.dtype == op1.dtype + assert extractor(res1) == np.iinfo(op1.dtype).min + assert extractor(res2) == 0 + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) + def test_divide_by_zero(self, dtype): + # Note that the return value cannot be well defined here, but NumPy + # currently uses 0 consistently. This could be changed. + to_check = interesting_binop_operands(1, 0, dtype) + for op1, op2, extractor, operand_identifier in to_check: + with pytest.warns(RuntimeWarning, match="divide by zero"): + res = op1 // op2 + + assert res.dtype == op1.dtype + assert extractor(res) == 0 + + with pytest.warns(RuntimeWarning, match="divide by zero"): + res1, res2 = np.divmod(op1, op2) + + assert res1.dtype == res2.dtype == op1.dtype + assert extractor(res1) == 0 + assert extractor(res2) == 0 + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize("dividend_dtype", sctypes['int']) + @pytest.mark.parametrize("divisor_dtype", sctypes['int']) + @pytest.mark.parametrize("operation", + [np.remainder, np.fmod, np.divmod, np.floor_divide, + operator.mod, operator.floordiv]) + @np.errstate(divide='warn', over='warn') + def test_overflows(self, dividend_dtype, divisor_dtype, operation): + # SIMD tries to perform the operation on as many elements as possible + # that is a multiple of the register's size. We resort to the + # default implementation for the leftover elements. + # We try to cover all paths here. + arrays = [np.array([np.iinfo(dividend_dtype).min]*i, + dtype=dividend_dtype) for i in range(1, 129)] + divisor = np.array([-1], dtype=divisor_dtype) + # If dividend is a larger type than the divisor (`else` case), + # then, result will be a larger type than dividend and will not + # result in an overflow for `divmod` and `floor_divide`. + if np.dtype(dividend_dtype).itemsize >= np.dtype( + divisor_dtype).itemsize and operation in ( + np.divmod, np.floor_divide, operator.floordiv): + with pytest.warns( + RuntimeWarning, + match="overflow encountered in"): + result = operation( + dividend_dtype(np.iinfo(dividend_dtype).min), + divisor_dtype(-1) + ) + assert result == self.overflow_results[operation].nocast( + dividend_dtype) + + # Arrays + for a in arrays: + # In case of divmod, we need to flatten the result + # column first as we get a column vector of quotient and + # remainder and a normal flatten of the expected result. + with pytest.warns( + RuntimeWarning, + match="overflow encountered in"): + result = np.array(operation(a, divisor)).flatten('f') + expected_array = np.array( + [self.overflow_results[operation].nocast( + dividend_dtype)]*len(a)).flatten() + assert_array_equal(result, expected_array) + else: + # Scalars + result = operation( + dividend_dtype(np.iinfo(dividend_dtype).min), + divisor_dtype(-1) + ) + assert result == self.overflow_results[operation].casted( + dividend_dtype) + + # Arrays + for a in arrays: + # See above comment on flatten + result = np.array(operation(a, divisor)).flatten('f') + expected_array = np.array( + [self.overflow_results[operation].casted( + dividend_dtype)]*len(a)).flatten() + assert_array_equal(result, expected_array) + + +class TestCbrt: + def test_cbrt_scalar(self): + assert_almost_equal((np.cbrt(np.float32(-2.5)**3)), -2.5) + + def test_cbrt(self): + x = np.array([1., 2., -3., np.inf, -np.inf]) + assert_almost_equal(np.cbrt(x**3), x) + + assert_(np.isnan(np.cbrt(np.nan))) + assert_equal(np.cbrt(np.inf), np.inf) + assert_equal(np.cbrt(-np.inf), -np.inf) + + +class TestPower: + def test_power_float(self): + x = np.array([1., 2., 3.]) + assert_equal(x**0, [1., 1., 1.]) + assert_equal(x**1, x) + assert_equal(x**2, [1., 4., 9.]) + y = x.copy() + y **= 2 + assert_equal(y, [1., 4., 9.]) + assert_almost_equal(x**(-1), [1., 0.5, 1./3]) + assert_almost_equal(x**(0.5), [1., ncu.sqrt(2), ncu.sqrt(3)]) + + for out, inp, msg in _gen_alignment_data(dtype=np.float32, + type='unary', + max_size=11): + exp = [ncu.sqrt(i) for i in inp] + assert_almost_equal(inp**(0.5), exp, err_msg=msg) + np.sqrt(inp, out=out) + assert_equal(out, exp, err_msg=msg) + + for out, inp, msg in _gen_alignment_data(dtype=np.float64, + type='unary', + max_size=7): + exp = [ncu.sqrt(i) for i in inp] + assert_almost_equal(inp**(0.5), exp, err_msg=msg) + np.sqrt(inp, out=out) + assert_equal(out, exp, err_msg=msg) + + def test_power_complex(self): + x = np.array([1+2j, 2+3j, 3+4j]) + assert_equal(x**0, [1., 1., 1.]) + assert_equal(x**1, x) + assert_almost_equal(x**2, [-3+4j, -5+12j, -7+24j]) + assert_almost_equal(x**3, [(1+2j)**3, (2+3j)**3, (3+4j)**3]) + assert_almost_equal(x**4, [(1+2j)**4, (2+3j)**4, (3+4j)**4]) + assert_almost_equal(x**(-1), [1/(1+2j), 1/(2+3j), 1/(3+4j)]) + assert_almost_equal(x**(-2), [1/(1+2j)**2, 1/(2+3j)**2, 1/(3+4j)**2]) + assert_almost_equal(x**(-3), [(-11+2j)/125, (-46-9j)/2197, + (-117-44j)/15625]) + assert_almost_equal(x**(0.5), [ncu.sqrt(1+2j), ncu.sqrt(2+3j), + ncu.sqrt(3+4j)]) + norm = 1./((x**14)[0]) + assert_almost_equal(x**14 * norm, + [i * norm for i in [-76443+16124j, 23161315+58317492j, + 5583548873 + 2465133864j]]) + + # Ticket #836 + def assert_complex_equal(x, y): + assert_array_equal(x.real, y.real) + assert_array_equal(x.imag, y.imag) + + for z in [complex(0, np.inf), complex(1, np.inf)]: + z = np.array([z], dtype=np.complex128) + with np.errstate(invalid="ignore"): + assert_complex_equal(z**1, z) + assert_complex_equal(z**2, z*z) + assert_complex_equal(z**3, z*z*z) + + def test_power_zero(self): + # ticket #1271 + zero = np.array([0j]) + one = np.array([1+0j]) + cnan = np.array([complex(np.nan, np.nan)]) + # FIXME cinf not tested. + #cinf = np.array([complex(np.inf, 0)]) + + def assert_complex_equal(x, y): + x, y = np.asarray(x), np.asarray(y) + assert_array_equal(x.real, y.real) + assert_array_equal(x.imag, y.imag) + + # positive powers + for p in [0.33, 0.5, 1, 1.5, 2, 3, 4, 5, 6.6]: + assert_complex_equal(np.power(zero, p), zero) + + # zero power + assert_complex_equal(np.power(zero, 0), one) + with np.errstate(invalid="ignore"): + assert_complex_equal(np.power(zero, 0+1j), cnan) + + # negative power + for p in [0.33, 0.5, 1, 1.5, 2, 3, 4, 5, 6.6]: + assert_complex_equal(np.power(zero, -p), cnan) + assert_complex_equal(np.power(zero, -1+0.2j), cnan) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_zero_power_nonzero(self): + # Testing 0^{Non-zero} issue 18378 + zero = np.array([0.0+0.0j]) + cnan = np.array([complex(np.nan, np.nan)]) + + def assert_complex_equal(x, y): + assert_array_equal(x.real, y.real) + assert_array_equal(x.imag, y.imag) + + #Complex powers with positive real part will not generate a warning + assert_complex_equal(np.power(zero, 1+4j), zero) + assert_complex_equal(np.power(zero, 2-3j), zero) + #Testing zero values when real part is greater than zero + assert_complex_equal(np.power(zero, 1+1j), zero) + assert_complex_equal(np.power(zero, 1+0j), zero) + assert_complex_equal(np.power(zero, 1-1j), zero) + #Complex powers will negative real part or 0 (provided imaginary + # part is not zero) will generate a NAN and hence a RUNTIME warning + with pytest.warns(expected_warning=RuntimeWarning) as r: + assert_complex_equal(np.power(zero, -1+1j), cnan) + assert_complex_equal(np.power(zero, -2-3j), cnan) + assert_complex_equal(np.power(zero, -7+0j), cnan) + assert_complex_equal(np.power(zero, 0+1j), cnan) + assert_complex_equal(np.power(zero, 0-1j), cnan) + assert len(r) == 5 + + def test_fast_power(self): + x = np.array([1, 2, 3], np.int16) + res = x**2.0 + assert_((x**2.00001).dtype is res.dtype) + assert_array_equal(res, [1, 4, 9]) + # check the inplace operation on the casted copy doesn't mess with x + assert_(not np.may_share_memory(res, x)) + assert_array_equal(x, [1, 2, 3]) + + # Check that the fast path ignores 1-element not 0-d arrays + res = x ** np.array([[[2]]]) + assert_equal(res.shape, (1, 1, 3)) + + def test_integer_power(self): + a = np.array([15, 15], 'i8') + b = np.power(a, a) + assert_equal(b, [437893890380859375, 437893890380859375]) + + def test_integer_power_with_integer_zero_exponent(self): + dtypes = np.typecodes['Integer'] + for dt in dtypes: + arr = np.arange(-10, 10, dtype=dt) + assert_equal(np.power(arr, 0), np.ones_like(arr)) + + dtypes = np.typecodes['UnsignedInteger'] + for dt in dtypes: + arr = np.arange(10, dtype=dt) + assert_equal(np.power(arr, 0), np.ones_like(arr)) + + def test_integer_power_of_1(self): + dtypes = np.typecodes['AllInteger'] + for dt in dtypes: + arr = np.arange(10, dtype=dt) + assert_equal(np.power(1, arr), np.ones_like(arr)) + + def test_integer_power_of_zero(self): + dtypes = np.typecodes['AllInteger'] + for dt in dtypes: + arr = np.arange(1, 10, dtype=dt) + assert_equal(np.power(0, arr), np.zeros_like(arr)) + + def test_integer_to_negative_power(self): + dtypes = np.typecodes['Integer'] + for dt in dtypes: + a = np.array([0, 1, 2, 3], dtype=dt) + b = np.array([0, 1, 2, -3], dtype=dt) + one = np.array(1, dtype=dt) + minusone = np.array(-1, dtype=dt) + assert_raises(ValueError, np.power, a, b) + assert_raises(ValueError, np.power, a, minusone) + assert_raises(ValueError, np.power, one, b) + assert_raises(ValueError, np.power, one, minusone) + + def test_float_to_inf_power(self): + for dt in [np.float32, np.float64]: + a = np.array([1, 1, 2, 2, -2, -2, np.inf, -np.inf], dt) + b = np.array([np.inf, -np.inf, np.inf, -np.inf, + np.inf, -np.inf, np.inf, -np.inf], dt) + r = np.array([1, 1, np.inf, 0, np.inf, 0, np.inf, 0], dt) + assert_equal(np.power(a, b), r) + + def test_power_fast_paths(self): + # gh-26055 + for dt in [np.float32, np.float64]: + a = np.array([0, 1.1, 2, 12e12, -10., np.inf, -np.inf], dt) + expected = np.array([0.0, 1.21, 4., 1.44e+26, 100, np.inf, np.inf]) + result = np.power(a, 2.) + assert_array_max_ulp(result, expected.astype(dt), maxulp=1) + + a = np.array([0, 1.1, 2, 12e12], dt) + expected = np.sqrt(a).astype(dt) + result = np.power(a, 0.5) + assert_array_max_ulp(result, expected, maxulp=1) + + +class TestFloat_power: + def test_type_conversion(self): + arg_type = '?bhilBHILefdgFDG' + res_type = 'ddddddddddddgDDG' + for dtin, dtout in zip(arg_type, res_type): + msg = "dtin: %s, dtout: %s" % (dtin, dtout) + arg = np.ones(1, dtype=dtin) + res = np.float_power(arg, arg) + assert_(res.dtype.name == np.dtype(dtout).name, msg) + + +class TestLog2: + @pytest.mark.parametrize('dt', ['f', 'd', 'g']) + def test_log2_values(self, dt): + x = [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024] + y = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + assert_almost_equal(np.log2(xf), yf) + + @pytest.mark.parametrize("i", range(1, 65)) + def test_log2_ints(self, i): + # a good log2 implementation should provide this, + # might fail on OS with bad libm + v = np.log2(2.**i) + assert_equal(v, float(i), err_msg='at exponent %d' % i) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_log2_special(self): + assert_equal(np.log2(1.), 0.) + assert_equal(np.log2(np.inf), np.inf) + assert_(np.isnan(np.log2(np.nan))) + + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_(np.isnan(np.log2(-1.))) + assert_(np.isnan(np.log2(-np.inf))) + assert_equal(np.log2(0.), -np.inf) + assert_(w[0].category is RuntimeWarning) + assert_(w[1].category is RuntimeWarning) + assert_(w[2].category is RuntimeWarning) + + +class TestExp2: + def test_exp2_values(self): + x = [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024] + y = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] + for dt in ['f', 'd', 'g']: + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + assert_almost_equal(np.exp2(yf), xf) + + +class TestLogAddExp2(_FilterInvalids): + # Need test for intermediate precisions + def test_logaddexp2_values(self): + x = [1, 2, 3, 4, 5] + y = [5, 4, 3, 2, 1] + z = [6, 6, 6, 6, 6] + for dt, dec_ in zip(['f', 'd', 'g'], [6, 15, 15]): + xf = np.log2(np.array(x, dtype=dt)) + yf = np.log2(np.array(y, dtype=dt)) + zf = np.log2(np.array(z, dtype=dt)) + assert_almost_equal(np.logaddexp2(xf, yf), zf, decimal=dec_) + + def test_logaddexp2_range(self): + x = [1000000, -1000000, 1000200, -1000200] + y = [1000200, -1000200, 1000000, -1000000] + z = [1000200, -1000000, 1000200, -1000000] + for dt in ['f', 'd', 'g']: + logxf = np.array(x, dtype=dt) + logyf = np.array(y, dtype=dt) + logzf = np.array(z, dtype=dt) + assert_almost_equal(np.logaddexp2(logxf, logyf), logzf) + + def test_inf(self): + inf = np.inf + x = [inf, -inf, inf, -inf, inf, 1, -inf, 1] + y = [inf, inf, -inf, -inf, 1, inf, 1, -inf] + z = [inf, inf, inf, -inf, inf, inf, 1, 1] + with np.errstate(invalid='raise'): + for dt in ['f', 'd', 'g']: + logxf = np.array(x, dtype=dt) + logyf = np.array(y, dtype=dt) + logzf = np.array(z, dtype=dt) + assert_equal(np.logaddexp2(logxf, logyf), logzf) + + def test_nan(self): + assert_(np.isnan(np.logaddexp2(np.nan, np.inf))) + assert_(np.isnan(np.logaddexp2(np.inf, np.nan))) + assert_(np.isnan(np.logaddexp2(np.nan, 0))) + assert_(np.isnan(np.logaddexp2(0, np.nan))) + assert_(np.isnan(np.logaddexp2(np.nan, np.nan))) + + def test_reduce(self): + assert_equal(np.logaddexp2.identity, -np.inf) + assert_equal(np.logaddexp2.reduce([]), -np.inf) + assert_equal(np.logaddexp2.reduce([-np.inf]), -np.inf) + assert_equal(np.logaddexp2.reduce([-np.inf, 0]), 0) + + +class TestLog: + def test_log_values(self): + x = [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024] + y = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] + for dt in ['f', 'd', 'g']: + log2_ = 0.69314718055994530943 + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt)*log2_ + assert_almost_equal(np.log(xf), yf) + + # test aliasing(issue #17761) + x = np.array([2, 0.937500, 3, 0.947500, 1.054697]) + xf = np.log(x) + assert_almost_equal(np.log(x, out=x), xf) + + def test_log_values_maxofdtype(self): + # test log() of max for dtype does not raise + dtypes = [np.float32, np.float64] + # This is failing at least on linux aarch64 (see gh-25460), and on most + # other non x86-64 platforms checking `longdouble` isn't too useful as + # it's an alias for float64. + if platform.machine() == 'x86_64': + dtypes += [np.longdouble] + + for dt in dtypes: + with np.errstate(all='raise'): + x = np.finfo(dt).max + np.log(x) + + def test_log_strides(self): + np.random.seed(42) + strides = np.array([-4,-3,-2,-1,1,2,3,4]) + sizes = np.arange(2,100) + for ii in sizes: + x_f64 = np.float64(np.random.uniform(low=0.01, high=100.0,size=ii)) + x_special = x_f64.copy() + x_special[3:-1:4] = 1.0 + y_true = np.log(x_f64) + y_special = np.log(x_special) + for jj in strides: + assert_array_almost_equal_nulp(np.log(x_f64[::jj]), y_true[::jj], nulp=2) + assert_array_almost_equal_nulp(np.log(x_special[::jj]), y_special[::jj], nulp=2) + + # Reference values were computed with mpmath, with mp.dps = 200. + @pytest.mark.parametrize( + 'z, wref', + [(1 + 1e-12j, 5e-25 + 1e-12j), + (1.000000000000001 + 3e-08j, + 1.5602230246251546e-15 + 2.999999999999996e-08j), + (0.9999995000000417 + 0.0009999998333333417j, + 7.831475869017683e-18 + 0.001j), + (0.9999999999999996 + 2.999999999999999e-08j, + 5.9107901499372034e-18 + 3e-08j), + (0.99995000042 - 0.009999833j, + -7.015159763822903e-15 - 0.009999999665816696j)], + ) + def test_log_precision_float64(self, z, wref): + w = np.log(z) + assert_allclose(w, wref, rtol=1e-15) + + # Reference values were computed with mpmath, with mp.dps = 200. + @pytest.mark.parametrize( + 'z, wref', + [(np.complex64(1.0 + 3e-6j), np.complex64(4.5e-12+3e-06j)), + (np.complex64(1.0 - 2e-5j), np.complex64(1.9999999e-10 - 2e-5j)), + (np.complex64(0.9999999 + 1e-06j), + np.complex64(-1.192088e-07+1.0000001e-06j))], + ) + def test_log_precision_float32(self, z, wref): + w = np.log(z) + assert_allclose(w, wref, rtol=1e-6) + + +class TestExp: + def test_exp_values(self): + x = [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024] + y = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] + for dt in ['f', 'd', 'g']: + log2_ = 0.69314718055994530943 + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt)*log2_ + assert_almost_equal(np.exp(yf), xf) + + def test_exp_strides(self): + np.random.seed(42) + strides = np.array([-4,-3,-2,-1,1,2,3,4]) + sizes = np.arange(2,100) + for ii in sizes: + x_f64 = np.float64(np.random.uniform(low=0.01, high=709.1,size=ii)) + y_true = np.exp(x_f64) + for jj in strides: + assert_array_almost_equal_nulp(np.exp(x_f64[::jj]), y_true[::jj], nulp=2) + +class TestSpecialFloats: + def test_exp_values(self): + with np.errstate(under='raise', over='raise'): + x = [np.nan, np.nan, np.inf, 0.] + y = [np.nan, -np.nan, np.inf, -np.inf] + for dt in ['e', 'f', 'd', 'g']: + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + assert_equal(np.exp(yf), xf) + + # See: https://github.com/numpy/numpy/issues/19192 + @pytest.mark.xfail( + _glibc_older_than("2.17"), + reason="Older glibc versions may not raise appropriate FP exceptions" + ) + def test_exp_exceptions(self): + with np.errstate(over='raise'): + assert_raises(FloatingPointError, np.exp, np.float16(11.0899)) + assert_raises(FloatingPointError, np.exp, np.float32(100.)) + assert_raises(FloatingPointError, np.exp, np.float32(1E19)) + assert_raises(FloatingPointError, np.exp, np.float64(800.)) + assert_raises(FloatingPointError, np.exp, np.float64(1E19)) + + with np.errstate(under='raise'): + assert_raises(FloatingPointError, np.exp, np.float16(-17.5)) + assert_raises(FloatingPointError, np.exp, np.float32(-1000.)) + assert_raises(FloatingPointError, np.exp, np.float32(-1E19)) + assert_raises(FloatingPointError, np.exp, np.float64(-1000.)) + assert_raises(FloatingPointError, np.exp, np.float64(-1E19)) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_log_values(self): + with np.errstate(all='ignore'): + x = [np.nan, np.nan, np.inf, np.nan, -np.inf, np.nan] + y = [np.nan, -np.nan, np.inf, -np.inf, 0.0, -1.0] + y1p = [np.nan, -np.nan, np.inf, -np.inf, -1.0, -2.0] + for dt in ['e', 'f', 'd', 'g']: + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + yf1p = np.array(y1p, dtype=dt) + assert_equal(np.log(yf), xf) + assert_equal(np.log2(yf), xf) + assert_equal(np.log10(yf), xf) + assert_equal(np.log1p(yf1p), xf) + + with np.errstate(divide='raise'): + for dt in ['e', 'f', 'd']: + assert_raises(FloatingPointError, np.log, + np.array(0.0, dtype=dt)) + assert_raises(FloatingPointError, np.log2, + np.array(0.0, dtype=dt)) + assert_raises(FloatingPointError, np.log10, + np.array(0.0, dtype=dt)) + assert_raises(FloatingPointError, np.log1p, + np.array(-1.0, dtype=dt)) + + with np.errstate(invalid='raise'): + for dt in ['e', 'f', 'd']: + assert_raises(FloatingPointError, np.log, + np.array(-np.inf, dtype=dt)) + assert_raises(FloatingPointError, np.log, + np.array(-1.0, dtype=dt)) + assert_raises(FloatingPointError, np.log2, + np.array(-np.inf, dtype=dt)) + assert_raises(FloatingPointError, np.log2, + np.array(-1.0, dtype=dt)) + assert_raises(FloatingPointError, np.log10, + np.array(-np.inf, dtype=dt)) + assert_raises(FloatingPointError, np.log10, + np.array(-1.0, dtype=dt)) + assert_raises(FloatingPointError, np.log1p, + np.array(-np.inf, dtype=dt)) + assert_raises(FloatingPointError, np.log1p, + np.array(-2.0, dtype=dt)) + + # See https://github.com/numpy/numpy/issues/18005 + with assert_no_warnings(): + a = np.array(1e9, dtype='float32') + np.log(a) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize('dtype', ['e', 'f', 'd', 'g']) + def test_sincos_values(self, dtype): + with np.errstate(all='ignore'): + x = [np.nan, np.nan, np.nan, np.nan] + y = [np.nan, -np.nan, np.inf, -np.inf] + xf = np.array(x, dtype=dtype) + yf = np.array(y, dtype=dtype) + assert_equal(np.sin(yf), xf) + assert_equal(np.cos(yf), xf) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.xfail( + sys.platform.startswith("darwin"), + reason="underflow is triggered for scalar 'sin'" + ) + def test_sincos_underflow(self): + with np.errstate(under='raise'): + underflow_trigger = np.array( + float.fromhex("0x1.f37f47a03f82ap-511"), + dtype=np.float64 + ) + np.sin(underflow_trigger) + np.cos(underflow_trigger) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize('callable', [np.sin, np.cos]) + @pytest.mark.parametrize('dtype', ['e', 'f', 'd']) + @pytest.mark.parametrize('value', [np.inf, -np.inf]) + def test_sincos_errors(self, callable, dtype, value): + with np.errstate(invalid='raise'): + assert_raises(FloatingPointError, callable, + np.array([value], dtype=dtype)) + + @pytest.mark.parametrize('callable', [np.sin, np.cos]) + @pytest.mark.parametrize('dtype', ['f', 'd']) + @pytest.mark.parametrize('stride', [-1, 1, 2, 4, 5]) + def test_sincos_overlaps(self, callable, dtype, stride): + N = 100 + M = N // abs(stride) + rng = np.random.default_rng(42) + x = rng.standard_normal(N, dtype) + y = callable(x[::stride]) + callable(x[::stride], out=x[:M]) + assert_equal(x[:M], y) + + @pytest.mark.parametrize('dt', ['e', 'f', 'd', 'g']) + def test_sqrt_values(self, dt): + with np.errstate(all='ignore'): + x = [np.nan, np.nan, np.inf, np.nan, 0.] + y = [np.nan, -np.nan, np.inf, -np.inf, 0.] + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + assert_equal(np.sqrt(yf), xf) + + # with np.errstate(invalid='raise'): + # assert_raises( + # FloatingPointError, np.sqrt, np.array(-100., dtype=dt) + # ) + + def test_abs_values(self): + x = [np.nan, np.nan, np.inf, np.inf, 0., 0., 1.0, 1.0] + y = [np.nan, -np.nan, np.inf, -np.inf, 0., -0., -1.0, 1.0] + for dt in ['e', 'f', 'd', 'g']: + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + assert_equal(np.abs(yf), xf) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_square_values(self): + x = [np.nan, np.nan, np.inf, np.inf] + y = [np.nan, -np.nan, np.inf, -np.inf] + with np.errstate(all='ignore'): + for dt in ['e', 'f', 'd', 'g']: + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + assert_equal(np.square(yf), xf) + + with np.errstate(over='raise'): + assert_raises(FloatingPointError, np.square, + np.array(1E3, dtype='e')) + assert_raises(FloatingPointError, np.square, + np.array(1E32, dtype='f')) + assert_raises(FloatingPointError, np.square, + np.array(1E200, dtype='d')) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_reciprocal_values(self): + with np.errstate(all='ignore'): + x = [np.nan, np.nan, 0.0, -0.0, np.inf, -np.inf] + y = [np.nan, -np.nan, np.inf, -np.inf, 0., -0.] + for dt in ['e', 'f', 'd', 'g']: + xf = np.array(x, dtype=dt) + yf = np.array(y, dtype=dt) + assert_equal(np.reciprocal(yf), xf) + + with np.errstate(divide='raise'): + for dt in ['e', 'f', 'd', 'g']: + assert_raises(FloatingPointError, np.reciprocal, + np.array(-0.0, dtype=dt)) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_tan(self): + with np.errstate(all='ignore'): + in_ = [np.nan, -np.nan, 0.0, -0.0, np.inf, -np.inf] + out = [np.nan, np.nan, 0.0, -0.0, np.nan, np.nan] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.tan(in_arr), out_arr) + + with np.errstate(invalid='raise'): + for dt in ['e', 'f', 'd']: + assert_raises(FloatingPointError, np.tan, + np.array(np.inf, dtype=dt)) + assert_raises(FloatingPointError, np.tan, + np.array(-np.inf, dtype=dt)) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_arcsincos(self): + with np.errstate(all='ignore'): + in_ = [np.nan, -np.nan, np.inf, -np.inf] + out = [np.nan, np.nan, np.nan, np.nan] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.arcsin(in_arr), out_arr) + assert_equal(np.arccos(in_arr), out_arr) + + for callable in [np.arcsin, np.arccos]: + for value in [np.inf, -np.inf, 2.0, -2.0]: + for dt in ['e', 'f', 'd']: + with np.errstate(invalid='raise'): + assert_raises(FloatingPointError, callable, + np.array(value, dtype=dt)) + + def test_arctan(self): + with np.errstate(all='ignore'): + in_ = [np.nan, -np.nan] + out = [np.nan, np.nan] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.arctan(in_arr), out_arr) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_sinh(self): + in_ = [np.nan, -np.nan, np.inf, -np.inf] + out = [np.nan, np.nan, np.inf, -np.inf] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.sinh(in_arr), out_arr) + + with np.errstate(over='raise'): + assert_raises(FloatingPointError, np.sinh, + np.array(12.0, dtype='e')) + assert_raises(FloatingPointError, np.sinh, + np.array(120.0, dtype='f')) + assert_raises(FloatingPointError, np.sinh, + np.array(1200.0, dtype='d')) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.skipif('bsd' in sys.platform, + reason="fallback implementation may not raise, see gh-2487") + def test_cosh(self): + in_ = [np.nan, -np.nan, np.inf, -np.inf] + out = [np.nan, np.nan, np.inf, np.inf] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.cosh(in_arr), out_arr) + + with np.errstate(over='raise'): + assert_raises(FloatingPointError, np.cosh, + np.array(12.0, dtype='e')) + assert_raises(FloatingPointError, np.cosh, + np.array(120.0, dtype='f')) + assert_raises(FloatingPointError, np.cosh, + np.array(1200.0, dtype='d')) + + def test_tanh(self): + in_ = [np.nan, -np.nan, np.inf, -np.inf] + out = [np.nan, np.nan, 1.0, -1.0] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_array_max_ulp(np.tanh(in_arr), out_arr, 3) + + def test_arcsinh(self): + in_ = [np.nan, -np.nan, np.inf, -np.inf] + out = [np.nan, np.nan, np.inf, -np.inf] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.arcsinh(in_arr), out_arr) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_arccosh(self): + with np.errstate(all='ignore'): + in_ = [np.nan, -np.nan, np.inf, -np.inf, 1.0, 0.0] + out = [np.nan, np.nan, np.inf, np.nan, 0.0, np.nan] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.arccosh(in_arr), out_arr) + + for value in [0.0, -np.inf]: + with np.errstate(invalid='raise'): + for dt in ['e', 'f', 'd']: + assert_raises(FloatingPointError, np.arccosh, + np.array(value, dtype=dt)) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_arctanh(self): + with np.errstate(all='ignore'): + in_ = [np.nan, -np.nan, np.inf, -np.inf, 1.0, -1.0, 2.0] + out = [np.nan, np.nan, np.nan, np.nan, np.inf, -np.inf, np.nan] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.arctanh(in_arr), out_arr) + + for value in [1.01, np.inf, -np.inf, 1.0, -1.0]: + with np.errstate(invalid='raise', divide='raise'): + for dt in ['e', 'f', 'd']: + assert_raises(FloatingPointError, np.arctanh, + np.array(value, dtype=dt)) + + # Make sure glibc < 2.18 atanh is not used, issue 25087 + assert np.signbit(np.arctanh(-1j).real) + + # See: https://github.com/numpy/numpy/issues/20448 + @pytest.mark.xfail( + _glibc_older_than("2.17"), + reason="Older glibc versions may not raise appropriate FP exceptions" + ) + def test_exp2(self): + with np.errstate(all='ignore'): + in_ = [np.nan, -np.nan, np.inf, -np.inf] + out = [np.nan, np.nan, np.inf, 0.0] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.exp2(in_arr), out_arr) + + for value in [2000.0, -2000.0]: + with np.errstate(over='raise', under='raise'): + for dt in ['e', 'f', 'd']: + assert_raises(FloatingPointError, np.exp2, + np.array(value, dtype=dt)) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_expm1(self): + with np.errstate(all='ignore'): + in_ = [np.nan, -np.nan, np.inf, -np.inf] + out = [np.nan, np.nan, np.inf, -1.0] + for dt in ['e', 'f', 'd']: + in_arr = np.array(in_, dtype=dt) + out_arr = np.array(out, dtype=dt) + assert_equal(np.expm1(in_arr), out_arr) + + for value in [200.0, 2000.0]: + with np.errstate(over='raise'): + for dt in ['e', 'f']: + assert_raises(FloatingPointError, np.expm1, + np.array(value, dtype=dt)) + + # test to ensure no spurious FP exceptions are raised due to SIMD + INF_INVALID_ERR = [ + np.cos, np.sin, np.tan, np.arccos, np.arcsin, np.spacing, np.arctanh + ] + NEG_INVALID_ERR = [ + np.log, np.log2, np.log10, np.log1p, np.sqrt, np.arccosh, + np.arctanh + ] + ONE_INVALID_ERR = [ + np.arctanh, + ] + LTONE_INVALID_ERR = [ + np.arccosh, + ] + BYZERO_ERR = [ + np.log, np.log2, np.log10, np.reciprocal, np.arccosh + ] + + @pytest.mark.parametrize("ufunc", UFUNCS_UNARY_FP) + @pytest.mark.parametrize("dtype", ('e', 'f', 'd')) + @pytest.mark.parametrize("data, escape", ( + ([0.03], LTONE_INVALID_ERR), + ([0.03]*32, LTONE_INVALID_ERR), + # neg + ([-1.0], NEG_INVALID_ERR), + ([-1.0]*32, NEG_INVALID_ERR), + # flat + ([1.0], ONE_INVALID_ERR), + ([1.0]*32, ONE_INVALID_ERR), + # zero + ([0.0], BYZERO_ERR), + ([0.0]*32, BYZERO_ERR), + ([-0.0], BYZERO_ERR), + ([-0.0]*32, BYZERO_ERR), + # nan + ([0.5, 0.5, 0.5, np.nan], LTONE_INVALID_ERR), + ([0.5, 0.5, 0.5, np.nan]*32, LTONE_INVALID_ERR), + ([np.nan, 1.0, 1.0, 1.0], ONE_INVALID_ERR), + ([np.nan, 1.0, 1.0, 1.0]*32, ONE_INVALID_ERR), + ([np.nan], []), + ([np.nan]*32, []), + # inf + ([0.5, 0.5, 0.5, np.inf], INF_INVALID_ERR + LTONE_INVALID_ERR), + ([0.5, 0.5, 0.5, np.inf]*32, INF_INVALID_ERR + LTONE_INVALID_ERR), + ([np.inf, 1.0, 1.0, 1.0], INF_INVALID_ERR), + ([np.inf, 1.0, 1.0, 1.0]*32, INF_INVALID_ERR), + ([np.inf], INF_INVALID_ERR), + ([np.inf]*32, INF_INVALID_ERR), + # ninf + ([0.5, 0.5, 0.5, -np.inf], + NEG_INVALID_ERR + INF_INVALID_ERR + LTONE_INVALID_ERR), + ([0.5, 0.5, 0.5, -np.inf]*32, + NEG_INVALID_ERR + INF_INVALID_ERR + LTONE_INVALID_ERR), + ([-np.inf, 1.0, 1.0, 1.0], NEG_INVALID_ERR + INF_INVALID_ERR), + ([-np.inf, 1.0, 1.0, 1.0]*32, NEG_INVALID_ERR + INF_INVALID_ERR), + ([-np.inf], NEG_INVALID_ERR + INF_INVALID_ERR), + ([-np.inf]*32, NEG_INVALID_ERR + INF_INVALID_ERR), + )) + def test_unary_spurious_fpexception(self, ufunc, dtype, data, escape): + if escape and ufunc in escape: + return + # FIXME: NAN raises FP invalid exception: + # - ceil/float16 on MSVC:32-bit + # - spacing/float16 on almost all platforms + if ufunc in (np.spacing, np.ceil) and dtype == 'e': + return + array = np.array(data, dtype=dtype) + with assert_no_warnings(): + ufunc(array) + + @pytest.mark.parametrize("dtype", ('e', 'f', 'd')) + def test_divide_spurious_fpexception(self, dtype): + dt = np.dtype(dtype) + dt_info = np.finfo(dt) + subnorm = dt_info.smallest_subnormal + # Verify a bug fix caused due to filling the remaining lanes of the + # partially loaded dividend SIMD vector with ones, which leads to + # raising an overflow warning when the divisor is denormal. + # see https://github.com/numpy/numpy/issues/25097 + with assert_no_warnings(): + np.zeros(128 + 1, dtype=dt) / subnorm + +class TestFPClass: + @pytest.mark.parametrize("stride", [-5, -4, -3, -2, -1, 1, + 2, 4, 5, 6, 7, 8, 9, 10]) + def test_fpclass(self, stride): + arr_f64 = np.array([np.nan, -np.nan, np.inf, -np.inf, -1.0, 1.0, -0.0, 0.0, 2.2251e-308, -2.2251e-308], dtype='d') + arr_f32 = np.array([np.nan, -np.nan, np.inf, -np.inf, -1.0, 1.0, -0.0, 0.0, 1.4013e-045, -1.4013e-045], dtype='f') + nan = np.array([True, True, False, False, False, False, False, False, False, False]) + inf = np.array([False, False, True, True, False, False, False, False, False, False]) + sign = np.array([False, True, False, True, True, False, True, False, False, True]) + finite = np.array([False, False, False, False, True, True, True, True, True, True]) + assert_equal(np.isnan(arr_f32[::stride]), nan[::stride]) + assert_equal(np.isnan(arr_f64[::stride]), nan[::stride]) + assert_equal(np.isinf(arr_f32[::stride]), inf[::stride]) + assert_equal(np.isinf(arr_f64[::stride]), inf[::stride]) + if platform.machine() == 'riscv64': + # On RISC-V, many operations that produce NaNs, such as converting + # a -NaN from f64 to f32, return a canonical NaN. The canonical + # NaNs are always positive. See section 11.3 NaN Generation and + # Propagation of the RISC-V Unprivileged ISA for more details. + # We disable the sign test on riscv64 for -np.nan as we + # cannot assume that its sign will be honoured in these tests. + arr_f64_rv = np.copy(arr_f64) + arr_f32_rv = np.copy(arr_f32) + arr_f64_rv[1] = -1.0 + arr_f32_rv[1] = -1.0 + assert_equal(np.signbit(arr_f32_rv[::stride]), sign[::stride]) + assert_equal(np.signbit(arr_f64_rv[::stride]), sign[::stride]) + else: + assert_equal(np.signbit(arr_f32[::stride]), sign[::stride]) + assert_equal(np.signbit(arr_f64[::stride]), sign[::stride]) + assert_equal(np.isfinite(arr_f32[::stride]), finite[::stride]) + assert_equal(np.isfinite(arr_f64[::stride]), finite[::stride]) + + @pytest.mark.parametrize("dtype", ['d', 'f']) + def test_fp_noncontiguous(self, dtype): + data = np.array([np.nan, -np.nan, np.inf, -np.inf, -1.0, + 1.0, -0.0, 0.0, 2.2251e-308, + -2.2251e-308], dtype=dtype) + nan = np.array([True, True, False, False, False, False, + False, False, False, False]) + inf = np.array([False, False, True, True, False, False, + False, False, False, False]) + sign = np.array([False, True, False, True, True, False, + True, False, False, True]) + finite = np.array([False, False, False, False, True, True, + True, True, True, True]) + out = np.ndarray(data.shape, dtype='bool') + ncontig_in = data[1::3] + ncontig_out = out[1::3] + contig_in = np.array(ncontig_in) + + if platform.machine() == 'riscv64': + # Disable the -np.nan signbit tests on riscv64. See comments in + # test_fpclass for more details. + data_rv = np.copy(data) + data_rv[1] = -1.0 + ncontig_sign_in = data_rv[1::3] + contig_sign_in = np.array(ncontig_sign_in) + else: + ncontig_sign_in = ncontig_in + contig_sign_in = contig_in + + assert_equal(ncontig_in.flags.c_contiguous, False) + assert_equal(ncontig_out.flags.c_contiguous, False) + assert_equal(contig_in.flags.c_contiguous, True) + assert_equal(ncontig_sign_in.flags.c_contiguous, False) + assert_equal(contig_sign_in.flags.c_contiguous, True) + # ncontig in, ncontig out + assert_equal(np.isnan(ncontig_in, out=ncontig_out), nan[1::3]) + assert_equal(np.isinf(ncontig_in, out=ncontig_out), inf[1::3]) + assert_equal(np.signbit(ncontig_sign_in, out=ncontig_out), sign[1::3]) + assert_equal(np.isfinite(ncontig_in, out=ncontig_out), finite[1::3]) + # contig in, ncontig out + assert_equal(np.isnan(contig_in, out=ncontig_out), nan[1::3]) + assert_equal(np.isinf(contig_in, out=ncontig_out), inf[1::3]) + assert_equal(np.signbit(contig_sign_in, out=ncontig_out), sign[1::3]) + assert_equal(np.isfinite(contig_in, out=ncontig_out), finite[1::3]) + # ncontig in, contig out + assert_equal(np.isnan(ncontig_in), nan[1::3]) + assert_equal(np.isinf(ncontig_in), inf[1::3]) + assert_equal(np.signbit(ncontig_sign_in), sign[1::3]) + assert_equal(np.isfinite(ncontig_in), finite[1::3]) + # contig in, contig out, nd stride + data_split = np.array(np.array_split(data, 2)) + nan_split = np.array(np.array_split(nan, 2)) + inf_split = np.array(np.array_split(inf, 2)) + sign_split = np.array(np.array_split(sign, 2)) + finite_split = np.array(np.array_split(finite, 2)) + assert_equal(np.isnan(data_split), nan_split) + assert_equal(np.isinf(data_split), inf_split) + if platform.machine() == 'riscv64': + data_split_rv = np.array(np.array_split(data_rv, 2)) + assert_equal(np.signbit(data_split_rv), sign_split) + else: + assert_equal(np.signbit(data_split), sign_split) + assert_equal(np.isfinite(data_split), finite_split) + +class TestLDExp: + @pytest.mark.parametrize("stride", [-4,-2,-1,1,2,4]) + @pytest.mark.parametrize("dtype", ['f', 'd']) + def test_ldexp(self, dtype, stride): + mant = np.array([0.125, 0.25, 0.5, 1., 1., 2., 4., 8.], dtype=dtype) + exp = np.array([3, 2, 1, 0, 0, -1, -2, -3], dtype='i') + out = np.zeros(8, dtype=dtype) + assert_equal(np.ldexp(mant[::stride], exp[::stride], out=out[::stride]), np.ones(8, dtype=dtype)[::stride]) + assert_equal(out[::stride], np.ones(8, dtype=dtype)[::stride]) + +class TestFRExp: + @pytest.mark.parametrize("stride", [-4,-2,-1,1,2,4]) + @pytest.mark.parametrize("dtype", ['f', 'd']) + @pytest.mark.skipif(not sys.platform.startswith('linux'), + reason="np.frexp gives different answers for NAN/INF on windows and linux") + @pytest.mark.xfail(IS_MUSL, reason="gh23049") + def test_frexp(self, dtype, stride): + arr = np.array([np.nan, np.nan, np.inf, -np.inf, 0.0, -0.0, 1.0, -1.0], dtype=dtype) + mant_true = np.array([np.nan, np.nan, np.inf, -np.inf, 0.0, -0.0, 0.5, -0.5], dtype=dtype) + exp_true = np.array([0, 0, 0, 0, 0, 0, 1, 1], dtype='i') + out_mant = np.ones(8, dtype=dtype) + out_exp = 2*np.ones(8, dtype='i') + mant, exp = np.frexp(arr[::stride], out=(out_mant[::stride], out_exp[::stride])) + assert_equal(mant_true[::stride], mant) + assert_equal(exp_true[::stride], exp) + assert_equal(out_mant[::stride], mant_true[::stride]) + assert_equal(out_exp[::stride], exp_true[::stride]) + +# func : [maxulperror, low, high] +avx_ufuncs = {'sqrt' :[1, 0., 100.], + 'absolute' :[0, -100., 100.], + 'reciprocal' :[1, 1., 100.], + 'square' :[1, -100., 100.], + 'rint' :[0, -100., 100.], + 'floor' :[0, -100., 100.], + 'ceil' :[0, -100., 100.], + 'trunc' :[0, -100., 100.]} + +class TestAVXUfuncs: + def test_avx_based_ufunc(self): + strides = np.array([-4,-3,-2,-1,1,2,3,4]) + np.random.seed(42) + for func, prop in avx_ufuncs.items(): + maxulperr = prop[0] + minval = prop[1] + maxval = prop[2] + # various array sizes to ensure masking in AVX is tested + for size in range(1,32): + myfunc = getattr(np, func) + x_f32 = np.random.uniform(low=minval, high=maxval, + size=size).astype(np.float32) + x_f64 = x_f32.astype(np.float64) + x_f128 = x_f32.astype(np.longdouble) + y_true128 = myfunc(x_f128) + if maxulperr == 0: + assert_equal(myfunc(x_f32), y_true128.astype(np.float32)) + assert_equal(myfunc(x_f64), y_true128.astype(np.float64)) + else: + assert_array_max_ulp(myfunc(x_f32), + y_true128.astype(np.float32), + maxulp=maxulperr) + assert_array_max_ulp(myfunc(x_f64), + y_true128.astype(np.float64), + maxulp=maxulperr) + # various strides to test gather instruction + if size > 1: + y_true32 = myfunc(x_f32) + y_true64 = myfunc(x_f64) + for jj in strides: + assert_equal(myfunc(x_f64[::jj]), y_true64[::jj]) + assert_equal(myfunc(x_f32[::jj]), y_true32[::jj]) + +class TestAVXFloat32Transcendental: + def test_exp_float32(self): + np.random.seed(42) + x_f32 = np.float32(np.random.uniform(low=0.0,high=88.1,size=1000000)) + x_f64 = np.float64(x_f32) + assert_array_max_ulp(np.exp(x_f32), np.float32(np.exp(x_f64)), maxulp=3) + + def test_log_float32(self): + np.random.seed(42) + x_f32 = np.float32(np.random.uniform(low=0.0,high=1000,size=1000000)) + x_f64 = np.float64(x_f32) + assert_array_max_ulp(np.log(x_f32), np.float32(np.log(x_f64)), maxulp=4) + + def test_sincos_float32(self): + np.random.seed(42) + N = 1000000 + M = np.int_(N/20) + index = np.random.randint(low=0, high=N, size=M) + x_f32 = np.float32(np.random.uniform(low=-100.,high=100.,size=N)) + if not _glibc_older_than("2.17"): + # test coverage for elements > 117435.992f for which glibc is used + # this is known to be problematic on old glibc, so skip it there + x_f32[index] = np.float32(10E+10*np.random.rand(M)) + x_f64 = np.float64(x_f32) + assert_array_max_ulp(np.sin(x_f32), np.float32(np.sin(x_f64)), maxulp=2) + assert_array_max_ulp(np.cos(x_f32), np.float32(np.cos(x_f64)), maxulp=2) + # test aliasing(issue #17761) + tx_f32 = x_f32.copy() + assert_array_max_ulp(np.sin(x_f32, out=x_f32), np.float32(np.sin(x_f64)), maxulp=2) + assert_array_max_ulp(np.cos(tx_f32, out=tx_f32), np.float32(np.cos(x_f64)), maxulp=2) + + def test_strided_float32(self): + np.random.seed(42) + strides = np.array([-4,-3,-2,-1,1,2,3,4]) + sizes = np.arange(2,100) + for ii in sizes: + x_f32 = np.float32(np.random.uniform(low=0.01,high=88.1,size=ii)) + x_f32_large = x_f32.copy() + x_f32_large[3:-1:4] = 120000.0 + exp_true = np.exp(x_f32) + log_true = np.log(x_f32) + sin_true = np.sin(x_f32_large) + cos_true = np.cos(x_f32_large) + for jj in strides: + assert_array_almost_equal_nulp(np.exp(x_f32[::jj]), exp_true[::jj], nulp=2) + assert_array_almost_equal_nulp(np.log(x_f32[::jj]), log_true[::jj], nulp=2) + assert_array_almost_equal_nulp(np.sin(x_f32_large[::jj]), sin_true[::jj], nulp=2) + assert_array_almost_equal_nulp(np.cos(x_f32_large[::jj]), cos_true[::jj], nulp=2) + +class TestLogAddExp(_FilterInvalids): + def test_logaddexp_values(self): + x = [1, 2, 3, 4, 5] + y = [5, 4, 3, 2, 1] + z = [6, 6, 6, 6, 6] + for dt, dec_ in zip(['f', 'd', 'g'], [6, 15, 15]): + xf = np.log(np.array(x, dtype=dt)) + yf = np.log(np.array(y, dtype=dt)) + zf = np.log(np.array(z, dtype=dt)) + assert_almost_equal(np.logaddexp(xf, yf), zf, decimal=dec_) + + def test_logaddexp_range(self): + x = [1000000, -1000000, 1000200, -1000200] + y = [1000200, -1000200, 1000000, -1000000] + z = [1000200, -1000000, 1000200, -1000000] + for dt in ['f', 'd', 'g']: + logxf = np.array(x, dtype=dt) + logyf = np.array(y, dtype=dt) + logzf = np.array(z, dtype=dt) + assert_almost_equal(np.logaddexp(logxf, logyf), logzf) + + def test_inf(self): + inf = np.inf + x = [inf, -inf, inf, -inf, inf, 1, -inf, 1] + y = [inf, inf, -inf, -inf, 1, inf, 1, -inf] + z = [inf, inf, inf, -inf, inf, inf, 1, 1] + with np.errstate(invalid='raise'): + for dt in ['f', 'd', 'g']: + logxf = np.array(x, dtype=dt) + logyf = np.array(y, dtype=dt) + logzf = np.array(z, dtype=dt) + assert_equal(np.logaddexp(logxf, logyf), logzf) + + def test_nan(self): + assert_(np.isnan(np.logaddexp(np.nan, np.inf))) + assert_(np.isnan(np.logaddexp(np.inf, np.nan))) + assert_(np.isnan(np.logaddexp(np.nan, 0))) + assert_(np.isnan(np.logaddexp(0, np.nan))) + assert_(np.isnan(np.logaddexp(np.nan, np.nan))) + + def test_reduce(self): + assert_equal(np.logaddexp.identity, -np.inf) + assert_equal(np.logaddexp.reduce([]), -np.inf) + + +class TestLog1p: + def test_log1p(self): + assert_almost_equal(ncu.log1p(0.2), ncu.log(1.2)) + assert_almost_equal(ncu.log1p(1e-6), ncu.log(1+1e-6)) + + def test_special(self): + with np.errstate(invalid="ignore", divide="ignore"): + assert_equal(ncu.log1p(np.nan), np.nan) + assert_equal(ncu.log1p(np.inf), np.inf) + assert_equal(ncu.log1p(-1.), -np.inf) + assert_equal(ncu.log1p(-2.), np.nan) + assert_equal(ncu.log1p(-np.inf), np.nan) + + +class TestExpm1: + def test_expm1(self): + assert_almost_equal(ncu.expm1(0.2), ncu.exp(0.2)-1) + assert_almost_equal(ncu.expm1(1e-6), ncu.exp(1e-6)-1) + + def test_special(self): + assert_equal(ncu.expm1(np.inf), np.inf) + assert_equal(ncu.expm1(0.), 0.) + assert_equal(ncu.expm1(-0.), -0.) + assert_equal(ncu.expm1(np.inf), np.inf) + assert_equal(ncu.expm1(-np.inf), -1.) + + def test_complex(self): + x = np.asarray(1e-12) + assert_allclose(x, ncu.expm1(x)) + x = x.astype(np.complex128) + assert_allclose(x, ncu.expm1(x)) + + +class TestHypot: + def test_simple(self): + assert_almost_equal(ncu.hypot(1, 1), ncu.sqrt(2)) + assert_almost_equal(ncu.hypot(0, 0), 0) + + def test_reduce(self): + assert_almost_equal(ncu.hypot.reduce([3.0, 4.0]), 5.0) + assert_almost_equal(ncu.hypot.reduce([3.0, 4.0, 0]), 5.0) + assert_almost_equal(ncu.hypot.reduce([9.0, 12.0, 20.0]), 25.0) + assert_equal(ncu.hypot.reduce([]), 0.0) + + +def assert_hypot_isnan(x, y): + with np.errstate(invalid='ignore'): + assert_(np.isnan(ncu.hypot(x, y)), + "hypot(%s, %s) is %s, not nan" % (x, y, ncu.hypot(x, y))) + + +def assert_hypot_isinf(x, y): + with np.errstate(invalid='ignore'): + assert_(np.isinf(ncu.hypot(x, y)), + "hypot(%s, %s) is %s, not inf" % (x, y, ncu.hypot(x, y))) + + +class TestHypotSpecialValues: + def test_nan_outputs(self): + assert_hypot_isnan(np.nan, np.nan) + assert_hypot_isnan(np.nan, 1) + + def test_nan_outputs2(self): + assert_hypot_isinf(np.nan, np.inf) + assert_hypot_isinf(np.inf, np.nan) + assert_hypot_isinf(np.inf, 0) + assert_hypot_isinf(0, np.inf) + assert_hypot_isinf(np.inf, np.inf) + assert_hypot_isinf(np.inf, 23.0) + + def test_no_fpe(self): + assert_no_warnings(ncu.hypot, np.inf, 0) + + +def assert_arctan2_isnan(x, y): + assert_(np.isnan(ncu.arctan2(x, y)), "arctan(%s, %s) is %s, not nan" % (x, y, ncu.arctan2(x, y))) + + +def assert_arctan2_ispinf(x, y): + assert_((np.isinf(ncu.arctan2(x, y)) and ncu.arctan2(x, y) > 0), "arctan(%s, %s) is %s, not +inf" % (x, y, ncu.arctan2(x, y))) + + +def assert_arctan2_isninf(x, y): + assert_((np.isinf(ncu.arctan2(x, y)) and ncu.arctan2(x, y) < 0), "arctan(%s, %s) is %s, not -inf" % (x, y, ncu.arctan2(x, y))) + + +def assert_arctan2_ispzero(x, y): + assert_((ncu.arctan2(x, y) == 0 and not np.signbit(ncu.arctan2(x, y))), "arctan(%s, %s) is %s, not +0" % (x, y, ncu.arctan2(x, y))) + + +def assert_arctan2_isnzero(x, y): + assert_((ncu.arctan2(x, y) == 0 and np.signbit(ncu.arctan2(x, y))), "arctan(%s, %s) is %s, not -0" % (x, y, ncu.arctan2(x, y))) + + +class TestArctan2SpecialValues: + def test_one_one(self): + # atan2(1, 1) returns pi/4. + assert_almost_equal(ncu.arctan2(1, 1), 0.25 * np.pi) + assert_almost_equal(ncu.arctan2(-1, 1), -0.25 * np.pi) + assert_almost_equal(ncu.arctan2(1, -1), 0.75 * np.pi) + + def test_zero_nzero(self): + # atan2(+-0, -0) returns +-pi. + assert_almost_equal(ncu.arctan2(ncu.PZERO, ncu.NZERO), np.pi) + assert_almost_equal(ncu.arctan2(ncu.NZERO, ncu.NZERO), -np.pi) + + def test_zero_pzero(self): + # atan2(+-0, +0) returns +-0. + assert_arctan2_ispzero(ncu.PZERO, ncu.PZERO) + assert_arctan2_isnzero(ncu.NZERO, ncu.PZERO) + + def test_zero_negative(self): + # atan2(+-0, x) returns +-pi for x < 0. + assert_almost_equal(ncu.arctan2(ncu.PZERO, -1), np.pi) + assert_almost_equal(ncu.arctan2(ncu.NZERO, -1), -np.pi) + + def test_zero_positive(self): + # atan2(+-0, x) returns +-0 for x > 0. + assert_arctan2_ispzero(ncu.PZERO, 1) + assert_arctan2_isnzero(ncu.NZERO, 1) + + def test_positive_zero(self): + # atan2(y, +-0) returns +pi/2 for y > 0. + assert_almost_equal(ncu.arctan2(1, ncu.PZERO), 0.5 * np.pi) + assert_almost_equal(ncu.arctan2(1, ncu.NZERO), 0.5 * np.pi) + + def test_negative_zero(self): + # atan2(y, +-0) returns -pi/2 for y < 0. + assert_almost_equal(ncu.arctan2(-1, ncu.PZERO), -0.5 * np.pi) + assert_almost_equal(ncu.arctan2(-1, ncu.NZERO), -0.5 * np.pi) + + def test_any_ninf(self): + # atan2(+-y, -infinity) returns +-pi for finite y > 0. + assert_almost_equal(ncu.arctan2(1, -np.inf), np.pi) + assert_almost_equal(ncu.arctan2(-1, -np.inf), -np.pi) + + def test_any_pinf(self): + # atan2(+-y, +infinity) returns +-0 for finite y > 0. + assert_arctan2_ispzero(1, np.inf) + assert_arctan2_isnzero(-1, np.inf) + + def test_inf_any(self): + # atan2(+-infinity, x) returns +-pi/2 for finite x. + assert_almost_equal(ncu.arctan2( np.inf, 1), 0.5 * np.pi) + assert_almost_equal(ncu.arctan2(-np.inf, 1), -0.5 * np.pi) + + def test_inf_ninf(self): + # atan2(+-infinity, -infinity) returns +-3*pi/4. + assert_almost_equal(ncu.arctan2( np.inf, -np.inf), 0.75 * np.pi) + assert_almost_equal(ncu.arctan2(-np.inf, -np.inf), -0.75 * np.pi) + + def test_inf_pinf(self): + # atan2(+-infinity, +infinity) returns +-pi/4. + assert_almost_equal(ncu.arctan2( np.inf, np.inf), 0.25 * np.pi) + assert_almost_equal(ncu.arctan2(-np.inf, np.inf), -0.25 * np.pi) + + def test_nan_any(self): + # atan2(nan, x) returns nan for any x, including inf + assert_arctan2_isnan(np.nan, np.inf) + assert_arctan2_isnan(np.inf, np.nan) + assert_arctan2_isnan(np.nan, np.nan) + + +class TestLdexp: + def _check_ldexp(self, tp): + assert_almost_equal(ncu.ldexp(np.array(2., np.float32), + np.array(3, tp)), 16.) + assert_almost_equal(ncu.ldexp(np.array(2., np.float64), + np.array(3, tp)), 16.) + assert_almost_equal(ncu.ldexp(np.array(2., np.longdouble), + np.array(3, tp)), 16.) + + def test_ldexp(self): + # The default Python int type should work + assert_almost_equal(ncu.ldexp(2., 3), 16.) + # The following int types should all be accepted + self._check_ldexp(np.int8) + self._check_ldexp(np.int16) + self._check_ldexp(np.int32) + self._check_ldexp('i') + self._check_ldexp('l') + + def test_ldexp_overflow(self): + # silence warning emitted on overflow + with np.errstate(over="ignore"): + imax = np.iinfo(np.dtype('l')).max + imin = np.iinfo(np.dtype('l')).min + assert_equal(ncu.ldexp(2., imax), np.inf) + assert_equal(ncu.ldexp(2., imin), 0) + + +class TestMaximum(_FilterInvalids): + def test_reduce(self): + dflt = np.typecodes['AllFloat'] + dint = np.typecodes['AllInteger'] + seq1 = np.arange(11) + seq2 = seq1[::-1] + func = np.maximum.reduce + for dt in dint: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 10) + assert_equal(func(tmp2), 10) + for dt in dflt: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 10) + assert_equal(func(tmp2), 10) + tmp1[::2] = np.nan + tmp2[::2] = np.nan + assert_equal(func(tmp1), np.nan) + assert_equal(func(tmp2), np.nan) + + def test_reduce_complex(self): + assert_equal(np.maximum.reduce([1, 2j]), 1) + assert_equal(np.maximum.reduce([1+3j, 2j]), 1+3j) + + def test_float_nans(self): + nan = np.nan + arg1 = np.array([0, nan, nan]) + arg2 = np.array([nan, 0, nan]) + out = np.array([nan, nan, nan]) + assert_equal(np.maximum(arg1, arg2), out) + + def test_object_nans(self): + # Multiple checks to give this a chance to + # fail if cmp is used instead of rich compare. + # Failure cannot be guaranteed. + for i in range(1): + x = np.array(float('nan'), object) + y = 1.0 + z = np.array(float('nan'), object) + assert_(np.maximum(x, y) == 1.0) + assert_(np.maximum(z, y) == 1.0) + + def test_complex_nans(self): + nan = np.nan + for cnan in [complex(nan, 0), complex(0, nan), complex(nan, nan)]: + arg1 = np.array([0, cnan, cnan], dtype=complex) + arg2 = np.array([cnan, 0, cnan], dtype=complex) + out = np.array([nan, nan, nan], dtype=complex) + assert_equal(np.maximum(arg1, arg2), out) + + def test_object_array(self): + arg1 = np.arange(5, dtype=object) + arg2 = arg1 + 1 + assert_equal(np.maximum(arg1, arg2), arg2) + + def test_strided_array(self): + arr1 = np.array([-4.0, 1.0, 10.0, 0.0, np.nan, -np.nan, np.inf, -np.inf]) + arr2 = np.array([-2.0,-1.0, np.nan, 1.0, 0.0, np.nan, 1.0, -3.0]) + maxtrue = np.array([-2.0, 1.0, np.nan, 1.0, np.nan, np.nan, np.inf, -3.0]) + out = np.ones(8) + out_maxtrue = np.array([-2.0, 1.0, 1.0, 10.0, 1.0, 1.0, np.nan, 1.0]) + assert_equal(np.maximum(arr1,arr2), maxtrue) + assert_equal(np.maximum(arr1[::2],arr2[::2]), maxtrue[::2]) + assert_equal(np.maximum(arr1[:4:], arr2[::2]), np.array([-2.0, np.nan, 10.0, 1.0])) + assert_equal(np.maximum(arr1[::3], arr2[:3:]), np.array([-2.0, 0.0, np.nan])) + assert_equal(np.maximum(arr1[:6:2], arr2[::3], out=out[::3]), np.array([-2.0, 10., np.nan])) + assert_equal(out, out_maxtrue) + + def test_precision(self): + dtypes = [np.float16, np.float32, np.float64, np.longdouble] + + for dt in dtypes: + dtmin = np.finfo(dt).min + dtmax = np.finfo(dt).max + d1 = dt(0.1) + d1_next = np.nextafter(d1, np.inf) + + test_cases = [ + # v1 v2 expected + (dtmin, -np.inf, dtmin), + (dtmax, -np.inf, dtmax), + (d1, d1_next, d1_next), + (dtmax, np.nan, np.nan), + ] + + for v1, v2, expected in test_cases: + assert_equal(np.maximum([v1], [v2]), [expected]) + assert_equal(np.maximum.reduce([v1, v2]), expected) + + +class TestMinimum(_FilterInvalids): + def test_reduce(self): + dflt = np.typecodes['AllFloat'] + dint = np.typecodes['AllInteger'] + seq1 = np.arange(11) + seq2 = seq1[::-1] + func = np.minimum.reduce + for dt in dint: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 0) + assert_equal(func(tmp2), 0) + for dt in dflt: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 0) + assert_equal(func(tmp2), 0) + tmp1[::2] = np.nan + tmp2[::2] = np.nan + assert_equal(func(tmp1), np.nan) + assert_equal(func(tmp2), np.nan) + + def test_reduce_complex(self): + assert_equal(np.minimum.reduce([1, 2j]), 2j) + assert_equal(np.minimum.reduce([1+3j, 2j]), 2j) + + def test_float_nans(self): + nan = np.nan + arg1 = np.array([0, nan, nan]) + arg2 = np.array([nan, 0, nan]) + out = np.array([nan, nan, nan]) + assert_equal(np.minimum(arg1, arg2), out) + + def test_object_nans(self): + # Multiple checks to give this a chance to + # fail if cmp is used instead of rich compare. + # Failure cannot be guaranteed. + for i in range(1): + x = np.array(float('nan'), object) + y = 1.0 + z = np.array(float('nan'), object) + assert_(np.minimum(x, y) == 1.0) + assert_(np.minimum(z, y) == 1.0) + + def test_complex_nans(self): + nan = np.nan + for cnan in [complex(nan, 0), complex(0, nan), complex(nan, nan)]: + arg1 = np.array([0, cnan, cnan], dtype=complex) + arg2 = np.array([cnan, 0, cnan], dtype=complex) + out = np.array([nan, nan, nan], dtype=complex) + assert_equal(np.minimum(arg1, arg2), out) + + def test_object_array(self): + arg1 = np.arange(5, dtype=object) + arg2 = arg1 + 1 + assert_equal(np.minimum(arg1, arg2), arg1) + + def test_strided_array(self): + arr1 = np.array([-4.0, 1.0, 10.0, 0.0, np.nan, -np.nan, np.inf, -np.inf]) + arr2 = np.array([-2.0,-1.0, np.nan, 1.0, 0.0, np.nan, 1.0, -3.0]) + mintrue = np.array([-4.0, -1.0, np.nan, 0.0, np.nan, np.nan, 1.0, -np.inf]) + out = np.ones(8) + out_mintrue = np.array([-4.0, 1.0, 1.0, 1.0, 1.0, 1.0, np.nan, 1.0]) + assert_equal(np.minimum(arr1,arr2), mintrue) + assert_equal(np.minimum(arr1[::2],arr2[::2]), mintrue[::2]) + assert_equal(np.minimum(arr1[:4:], arr2[::2]), np.array([-4.0, np.nan, 0.0, 0.0])) + assert_equal(np.minimum(arr1[::3], arr2[:3:]), np.array([-4.0, -1.0, np.nan])) + assert_equal(np.minimum(arr1[:6:2], arr2[::3], out=out[::3]), np.array([-4.0, 1.0, np.nan])) + assert_equal(out, out_mintrue) + + def test_precision(self): + dtypes = [np.float16, np.float32, np.float64, np.longdouble] + + for dt in dtypes: + dtmin = np.finfo(dt).min + dtmax = np.finfo(dt).max + d1 = dt(0.1) + d1_next = np.nextafter(d1, np.inf) + + test_cases = [ + # v1 v2 expected + (dtmin, np.inf, dtmin), + (dtmax, np.inf, dtmax), + (d1, d1_next, d1), + (dtmin, np.nan, np.nan), + ] + + for v1, v2, expected in test_cases: + assert_equal(np.minimum([v1], [v2]), [expected]) + assert_equal(np.minimum.reduce([v1, v2]), expected) + + +class TestFmax(_FilterInvalids): + def test_reduce(self): + dflt = np.typecodes['AllFloat'] + dint = np.typecodes['AllInteger'] + seq1 = np.arange(11) + seq2 = seq1[::-1] + func = np.fmax.reduce + for dt in dint: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 10) + assert_equal(func(tmp2), 10) + for dt in dflt: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 10) + assert_equal(func(tmp2), 10) + tmp1[::2] = np.nan + tmp2[::2] = np.nan + assert_equal(func(tmp1), 9) + assert_equal(func(tmp2), 9) + + def test_reduce_complex(self): + assert_equal(np.fmax.reduce([1, 2j]), 1) + assert_equal(np.fmax.reduce([1+3j, 2j]), 1+3j) + + def test_float_nans(self): + nan = np.nan + arg1 = np.array([0, nan, nan]) + arg2 = np.array([nan, 0, nan]) + out = np.array([0, 0, nan]) + assert_equal(np.fmax(arg1, arg2), out) + + def test_complex_nans(self): + nan = np.nan + for cnan in [complex(nan, 0), complex(0, nan), complex(nan, nan)]: + arg1 = np.array([0, cnan, cnan], dtype=complex) + arg2 = np.array([cnan, 0, cnan], dtype=complex) + out = np.array([0, 0, nan], dtype=complex) + assert_equal(np.fmax(arg1, arg2), out) + + def test_precision(self): + dtypes = [np.float16, np.float32, np.float64, np.longdouble] + + for dt in dtypes: + dtmin = np.finfo(dt).min + dtmax = np.finfo(dt).max + d1 = dt(0.1) + d1_next = np.nextafter(d1, np.inf) + + test_cases = [ + # v1 v2 expected + (dtmin, -np.inf, dtmin), + (dtmax, -np.inf, dtmax), + (d1, d1_next, d1_next), + (dtmax, np.nan, dtmax), + ] + + for v1, v2, expected in test_cases: + assert_equal(np.fmax([v1], [v2]), [expected]) + assert_equal(np.fmax.reduce([v1, v2]), expected) + + +class TestFmin(_FilterInvalids): + def test_reduce(self): + dflt = np.typecodes['AllFloat'] + dint = np.typecodes['AllInteger'] + seq1 = np.arange(11) + seq2 = seq1[::-1] + func = np.fmin.reduce + for dt in dint: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 0) + assert_equal(func(tmp2), 0) + for dt in dflt: + tmp1 = seq1.astype(dt) + tmp2 = seq2.astype(dt) + assert_equal(func(tmp1), 0) + assert_equal(func(tmp2), 0) + tmp1[::2] = np.nan + tmp2[::2] = np.nan + assert_equal(func(tmp1), 1) + assert_equal(func(tmp2), 1) + + def test_reduce_complex(self): + assert_equal(np.fmin.reduce([1, 2j]), 2j) + assert_equal(np.fmin.reduce([1+3j, 2j]), 2j) + + def test_float_nans(self): + nan = np.nan + arg1 = np.array([0, nan, nan]) + arg2 = np.array([nan, 0, nan]) + out = np.array([0, 0, nan]) + assert_equal(np.fmin(arg1, arg2), out) + + def test_complex_nans(self): + nan = np.nan + for cnan in [complex(nan, 0), complex(0, nan), complex(nan, nan)]: + arg1 = np.array([0, cnan, cnan], dtype=complex) + arg2 = np.array([cnan, 0, cnan], dtype=complex) + out = np.array([0, 0, nan], dtype=complex) + assert_equal(np.fmin(arg1, arg2), out) + + def test_precision(self): + dtypes = [np.float16, np.float32, np.float64, np.longdouble] + + for dt in dtypes: + dtmin = np.finfo(dt).min + dtmax = np.finfo(dt).max + d1 = dt(0.1) + d1_next = np.nextafter(d1, np.inf) + + test_cases = [ + # v1 v2 expected + (dtmin, np.inf, dtmin), + (dtmax, np.inf, dtmax), + (d1, d1_next, d1), + (dtmin, np.nan, dtmin), + ] + + for v1, v2, expected in test_cases: + assert_equal(np.fmin([v1], [v2]), [expected]) + assert_equal(np.fmin.reduce([v1, v2]), expected) + + +class TestBool: + def test_exceptions(self): + a = np.ones(1, dtype=np.bool) + assert_raises(TypeError, np.negative, a) + assert_raises(TypeError, np.positive, a) + assert_raises(TypeError, np.subtract, a, a) + + def test_truth_table_logical(self): + # 2, 3 and 4 serves as true values + input1 = [0, 0, 3, 2] + input2 = [0, 4, 0, 2] + + typecodes = (np.typecodes['AllFloat'] + + np.typecodes['AllInteger'] + + '?') # boolean + for dtype in map(np.dtype, typecodes): + arg1 = np.asarray(input1, dtype=dtype) + arg2 = np.asarray(input2, dtype=dtype) + + # OR + out = [False, True, True, True] + for func in (np.logical_or, np.maximum): + assert_equal(func(arg1, arg2).astype(bool), out) + # AND + out = [False, False, False, True] + for func in (np.logical_and, np.minimum): + assert_equal(func(arg1, arg2).astype(bool), out) + # XOR + out = [False, True, True, False] + for func in (np.logical_xor, np.not_equal): + assert_equal(func(arg1, arg2).astype(bool), out) + + def test_truth_table_bitwise(self): + arg1 = [False, False, True, True] + arg2 = [False, True, False, True] + + out = [False, True, True, True] + assert_equal(np.bitwise_or(arg1, arg2), out) + + out = [False, False, False, True] + assert_equal(np.bitwise_and(arg1, arg2), out) + + out = [False, True, True, False] + assert_equal(np.bitwise_xor(arg1, arg2), out) + + def test_reduce(self): + none = np.array([0, 0, 0, 0], bool) + some = np.array([1, 0, 1, 1], bool) + every = np.array([1, 1, 1, 1], bool) + empty = np.array([], bool) + + arrs = [none, some, every, empty] + + for arr in arrs: + assert_equal(np.logical_and.reduce(arr), all(arr)) + + for arr in arrs: + assert_equal(np.logical_or.reduce(arr), any(arr)) + + for arr in arrs: + assert_equal(np.logical_xor.reduce(arr), arr.sum() % 2 == 1) + + +class TestBitwiseUFuncs: + + _all_ints_bits = [ + np.dtype(c).itemsize * 8 for c in np.typecodes["AllInteger"]] + bitwise_types = [ + np.dtype(c) for c in '?' + np.typecodes["AllInteger"] + 'O'] + bitwise_bits = [ + 2, # boolean type + *_all_ints_bits, # All integers + max(_all_ints_bits) + 1, # Object_ type + ] + + def test_values(self): + for dt in self.bitwise_types: + zeros = np.array([0], dtype=dt) + ones = np.array([-1]).astype(dt) + msg = "dt = '%s'" % dt.char + + assert_equal(np.bitwise_not(zeros), ones, err_msg=msg) + assert_equal(np.bitwise_not(ones), zeros, err_msg=msg) + + assert_equal(np.bitwise_or(zeros, zeros), zeros, err_msg=msg) + assert_equal(np.bitwise_or(zeros, ones), ones, err_msg=msg) + assert_equal(np.bitwise_or(ones, zeros), ones, err_msg=msg) + assert_equal(np.bitwise_or(ones, ones), ones, err_msg=msg) + + assert_equal(np.bitwise_xor(zeros, zeros), zeros, err_msg=msg) + assert_equal(np.bitwise_xor(zeros, ones), ones, err_msg=msg) + assert_equal(np.bitwise_xor(ones, zeros), ones, err_msg=msg) + assert_equal(np.bitwise_xor(ones, ones), zeros, err_msg=msg) + + assert_equal(np.bitwise_and(zeros, zeros), zeros, err_msg=msg) + assert_equal(np.bitwise_and(zeros, ones), zeros, err_msg=msg) + assert_equal(np.bitwise_and(ones, zeros), zeros, err_msg=msg) + assert_equal(np.bitwise_and(ones, ones), ones, err_msg=msg) + + def test_types(self): + for dt in self.bitwise_types: + zeros = np.array([0], dtype=dt) + ones = np.array([-1]).astype(dt) + msg = "dt = '%s'" % dt.char + + assert_(np.bitwise_not(zeros).dtype == dt, msg) + assert_(np.bitwise_or(zeros, zeros).dtype == dt, msg) + assert_(np.bitwise_xor(zeros, zeros).dtype == dt, msg) + assert_(np.bitwise_and(zeros, zeros).dtype == dt, msg) + + def test_identity(self): + assert_(np.bitwise_or.identity == 0, 'bitwise_or') + assert_(np.bitwise_xor.identity == 0, 'bitwise_xor') + assert_(np.bitwise_and.identity == -1, 'bitwise_and') + + def test_reduction(self): + binary_funcs = (np.bitwise_or, np.bitwise_xor, np.bitwise_and) + + for dt in self.bitwise_types: + zeros = np.array([0], dtype=dt) + ones = np.array([-1]).astype(dt) + for f in binary_funcs: + msg = "dt: '%s', f: '%s'" % (dt, f) + assert_equal(f.reduce(zeros), zeros, err_msg=msg) + assert_equal(f.reduce(ones), ones, err_msg=msg) + + # Test empty reduction, no object dtype + for dt in self.bitwise_types[:-1]: + # No object array types + empty = np.array([], dtype=dt) + for f in binary_funcs: + msg = "dt: '%s', f: '%s'" % (dt, f) + tgt = np.array(f.identity).astype(dt) + res = f.reduce(empty) + assert_equal(res, tgt, err_msg=msg) + assert_(res.dtype == tgt.dtype, msg) + + # Empty object arrays use the identity. Note that the types may + # differ, the actual type used is determined by the assign_identity + # function and is not the same as the type returned by the identity + # method. + for f in binary_funcs: + msg = "dt: '%s'" % (f,) + empty = np.array([], dtype=object) + tgt = f.identity + res = f.reduce(empty) + assert_equal(res, tgt, err_msg=msg) + + # Non-empty object arrays do not use the identity + for f in binary_funcs: + msg = "dt: '%s'" % (f,) + btype = np.array([True], dtype=object) + assert_(type(f.reduce(btype)) is bool, msg) + + @pytest.mark.parametrize("input_dtype_obj, bitsize", + zip(bitwise_types, bitwise_bits)) + def test_bitwise_count(self, input_dtype_obj, bitsize): + input_dtype = input_dtype_obj.type + + for i in range(1, bitsize): + num = 2**i - 1 + msg = f"bitwise_count for {num}" + assert i == np.bitwise_count(input_dtype(num)), msg + if np.issubdtype( + input_dtype, np.signedinteger) or input_dtype == np.object_: + assert i == np.bitwise_count(input_dtype(-num)), msg + + a = np.array([2**i-1 for i in range(1, bitsize)], dtype=input_dtype) + bitwise_count_a = np.bitwise_count(a) + expected = np.arange(1, bitsize, dtype=input_dtype) + + msg = f"array bitwise_count for {input_dtype}" + assert all(bitwise_count_a == expected), msg + + +class TestInt: + def test_logical_not(self): + x = np.ones(10, dtype=np.int16) + o = np.ones(10 * 2, dtype=bool) + tgt = o.copy() + tgt[::2] = False + os = o[::2] + assert_array_equal(np.logical_not(x, out=os), False) + assert_array_equal(o, tgt) + + +class TestFloatingPoint: + def test_floating_point(self): + assert_equal(ncu.FLOATING_POINT_SUPPORT, 1) + + +class TestDegrees: + def test_degrees(self): + assert_almost_equal(ncu.degrees(np.pi), 180.0) + assert_almost_equal(ncu.degrees(-0.5*np.pi), -90.0) + + +class TestRadians: + def test_radians(self): + assert_almost_equal(ncu.radians(180.0), np.pi) + assert_almost_equal(ncu.radians(-90.0), -0.5*np.pi) + + +class TestHeavside: + def test_heaviside(self): + x = np.array([[-30.0, -0.1, 0.0, 0.2], [7.5, np.nan, np.inf, -np.inf]]) + expectedhalf = np.array([[0.0, 0.0, 0.5, 1.0], [1.0, np.nan, 1.0, 0.0]]) + expected1 = expectedhalf.copy() + expected1[0, 2] = 1 + + h = ncu.heaviside(x, 0.5) + assert_equal(h, expectedhalf) + + h = ncu.heaviside(x, 1.0) + assert_equal(h, expected1) + + x = x.astype(np.float32) + + h = ncu.heaviside(x, np.float32(0.5)) + assert_equal(h, expectedhalf.astype(np.float32)) + + h = ncu.heaviside(x, np.float32(1.0)) + assert_equal(h, expected1.astype(np.float32)) + + +class TestSign: + def test_sign(self): + a = np.array([np.inf, -np.inf, np.nan, 0.0, 3.0, -3.0]) + out = np.zeros(a.shape) + tgt = np.array([1., -1., np.nan, 0.0, 1.0, -1.0]) + + with np.errstate(invalid='ignore'): + res = ncu.sign(a) + assert_equal(res, tgt) + res = ncu.sign(a, out) + assert_equal(res, tgt) + assert_equal(out, tgt) + + def test_sign_complex(self): + a = np.array([ + np.inf, -np.inf, complex(0, np.inf), complex(0, -np.inf), + complex(np.inf, np.inf), complex(np.inf, -np.inf), # nan + np.nan, complex(0, np.nan), complex(np.nan, np.nan), # nan + 0.0, # 0. + 3.0, -3.0, -2j, 3.0+4.0j, -8.0+6.0j + ]) + out = np.zeros(a.shape, a.dtype) + tgt = np.array([ + 1., -1., 1j, -1j, + ] + [complex(np.nan, np.nan)] * 5 + [ + 0.0, + 1.0, -1.0, -1j, 0.6+0.8j, -0.8+0.6j]) + + with np.errstate(invalid='ignore'): + res = ncu.sign(a) + assert_equal(res, tgt) + res = ncu.sign(a, out) + assert_(res is out) + assert_equal(res, tgt) + + def test_sign_dtype_object(self): + # In reference to github issue #6229 + + foo = np.array([-.1, 0, .1]) + a = np.sign(foo.astype(object)) + b = np.sign(foo) + + assert_array_equal(a, b) + + def test_sign_dtype_nan_object(self): + # In reference to github issue #6229 + def test_nan(): + foo = np.array([np.nan]) + # FIXME: a not used + a = np.sign(foo.astype(object)) + + assert_raises(TypeError, test_nan) + +class TestMinMax: + def test_minmax_blocked(self): + # simd tests on max/min, test all alignments, slow but important + # for 2 * vz + 2 * (vs - 1) + 1 (unrolled once) + for dt, sz in [(np.float32, 15), (np.float64, 7)]: + for out, inp, msg in _gen_alignment_data(dtype=dt, type='unary', + max_size=sz): + for i in range(inp.size): + inp[:] = np.arange(inp.size, dtype=dt) + inp[i] = np.nan + emsg = lambda: '%r\n%s' % (inp, msg) + with suppress_warnings() as sup: + sup.filter(RuntimeWarning, + "invalid value encountered in reduce") + assert_(np.isnan(inp.max()), msg=emsg) + assert_(np.isnan(inp.min()), msg=emsg) + + inp[i] = 1e10 + assert_equal(inp.max(), 1e10, err_msg=msg) + inp[i] = -1e10 + assert_equal(inp.min(), -1e10, err_msg=msg) + + def test_lower_align(self): + # check data that is not aligned to element size + # i.e doubles are aligned to 4 bytes on i386 + d = np.zeros(23 * 8, dtype=np.int8)[4:-4].view(np.float64) + assert_equal(d.max(), d[0]) + assert_equal(d.min(), d[0]) + + def test_reduce_reorder(self): + # gh 10370, 11029 Some compilers reorder the call to npy_getfloatstatus + # and put it before the call to an intrinsic function that causes + # invalid status to be set. Also make sure warnings are not emitted + for n in (2, 4, 8, 16, 32): + for dt in (np.float32, np.float16, np.complex64): + for r in np.diagflat(np.array([np.nan] * n, dtype=dt)): + assert_equal(np.min(r), np.nan) + + def test_minimize_no_warns(self): + a = np.minimum(np.nan, 1) + assert_equal(a, np.nan) + + +class TestAbsoluteNegative: + def test_abs_neg_blocked(self): + # simd tests on abs, test all alignments for vz + 2 * (vs - 1) + 1 + for dt, sz in [(np.float32, 11), (np.float64, 5)]: + for out, inp, msg in _gen_alignment_data(dtype=dt, type='unary', + max_size=sz): + tgt = [ncu.absolute(i) for i in inp] + np.absolute(inp, out=out) + assert_equal(out, tgt, err_msg=msg) + assert_((out >= 0).all()) + + tgt = [-1*(i) for i in inp] + np.negative(inp, out=out) + assert_equal(out, tgt, err_msg=msg) + + for v in [np.nan, -np.inf, np.inf]: + for i in range(inp.size): + d = np.arange(inp.size, dtype=dt) + inp[:] = -d + inp[i] = v + d[i] = -v if v == -np.inf else v + assert_array_equal(np.abs(inp), d, err_msg=msg) + np.abs(inp, out=out) + assert_array_equal(out, d, err_msg=msg) + + assert_array_equal(-inp, -1*inp, err_msg=msg) + d = -1 * inp + np.negative(inp, out=out) + assert_array_equal(out, d, err_msg=msg) + + def test_lower_align(self): + # check data that is not aligned to element size + # i.e doubles are aligned to 4 bytes on i386 + d = np.zeros(23 * 8, dtype=np.int8)[4:-4].view(np.float64) + assert_equal(np.abs(d), d) + assert_equal(np.negative(d), -d) + np.negative(d, out=d) + np.negative(np.ones_like(d), out=d) + np.abs(d, out=d) + np.abs(np.ones_like(d), out=d) + + @pytest.mark.parametrize("dtype", ['d', 'f', 'int32', 'int64']) + @pytest.mark.parametrize("big", [True, False]) + def test_noncontiguous(self, dtype, big): + data = np.array([-1.0, 1.0, -0.0, 0.0, 2.2251e-308, -2.5, 2.5, -6, + 6, -2.2251e-308, -8, 10], dtype=dtype) + expect = np.array([1.0, -1.0, 0.0, -0.0, -2.2251e-308, 2.5, -2.5, 6, + -6, 2.2251e-308, 8, -10], dtype=dtype) + if big: + data = np.repeat(data, 10) + expect = np.repeat(expect, 10) + out = np.ndarray(data.shape, dtype=dtype) + ncontig_in = data[1::2] + ncontig_out = out[1::2] + contig_in = np.array(ncontig_in) + # contig in, contig out + assert_array_equal(np.negative(contig_in), expect[1::2]) + # contig in, ncontig out + assert_array_equal(np.negative(contig_in, out=ncontig_out), + expect[1::2]) + # ncontig in, contig out + assert_array_equal(np.negative(ncontig_in), expect[1::2]) + # ncontig in, ncontig out + assert_array_equal(np.negative(ncontig_in, out=ncontig_out), + expect[1::2]) + # contig in, contig out, nd stride + data_split = np.array(np.array_split(data, 2)) + expect_split = np.array(np.array_split(expect, 2)) + assert_equal(np.negative(data_split), expect_split) + + +class TestPositive: + def test_valid(self): + valid_dtypes = [int, float, complex, object] + for dtype in valid_dtypes: + x = np.arange(5, dtype=dtype) + result = np.positive(x) + assert_equal(x, result, err_msg=str(dtype)) + + def test_invalid(self): + with assert_raises(TypeError): + np.positive(True) + with assert_raises(TypeError): + np.positive(np.datetime64('2000-01-01')) + with assert_raises(TypeError): + np.positive(np.array(['foo'], dtype=str)) + with assert_raises(TypeError): + np.positive(np.array(['bar'], dtype=object)) + + +class TestSpecialMethods: + def test_wrap(self): + + class with_wrap: + def __array__(self, dtype=None, copy=None): + return np.zeros(1) + + def __array_wrap__(self, arr, context, return_scalar): + r = with_wrap() + r.arr = arr + r.context = context + return r + + a = with_wrap() + x = ncu.minimum(a, a) + assert_equal(x.arr, np.zeros(1)) + func, args, i = x.context + assert_(func is ncu.minimum) + assert_equal(len(args), 2) + assert_equal(args[0], a) + assert_equal(args[1], a) + assert_equal(i, 0) + + def test_wrap_out(self): + # Calling convention for out should not affect how special methods are + # called + + class StoreArrayPrepareWrap(np.ndarray): + _wrap_args = None + _prepare_args = None + + def __new__(cls): + return np.zeros(()).view(cls) + + def __array_wrap__(self, obj, context, return_scalar): + self._wrap_args = context[1] + return obj + + @property + def args(self): + # We need to ensure these are fetched at the same time, before + # any other ufuncs are called by the assertions + return self._wrap_args + + def __repr__(self): + return "a" # for short test output + + def do_test(f_call, f_expected): + a = StoreArrayPrepareWrap() + + f_call(a) + + w = a.args + expected = f_expected(a) + try: + assert w == expected + except AssertionError as e: + # assert_equal produces truly useless error messages + raise AssertionError("\n".join([ + "Bad arguments passed in ufunc call", + " expected: {}".format(expected), + " __array_wrap__ got: {}".format(w) + ])) + + # method not on the out argument + do_test(lambda a: np.add(a, 0), lambda a: (a, 0)) + do_test(lambda a: np.add(a, 0, None), lambda a: (a, 0)) + do_test(lambda a: np.add(a, 0, out=None), lambda a: (a, 0)) + do_test(lambda a: np.add(a, 0, out=(None,)), lambda a: (a, 0)) + + # method on the out argument + do_test(lambda a: np.add(0, 0, a), lambda a: (0, 0, a)) + do_test(lambda a: np.add(0, 0, out=a), lambda a: (0, 0, a)) + do_test(lambda a: np.add(0, 0, out=(a,)), lambda a: (0, 0, a)) + + # Also check the where mask handling: + do_test(lambda a: np.add(a, 0, where=False), lambda a: (a, 0)) + do_test(lambda a: np.add(0, 0, a, where=False), lambda a: (0, 0, a)) + + def test_wrap_with_iterable(self): + # test fix for bug #1026: + + class with_wrap(np.ndarray): + __array_priority__ = 10 + + def __new__(cls): + return np.asarray(1).view(cls).copy() + + def __array_wrap__(self, arr, context, return_scalar): + return arr.view(type(self)) + + a = with_wrap() + x = ncu.multiply(a, (1, 2, 3)) + assert_(isinstance(x, with_wrap)) + assert_array_equal(x, np.array((1, 2, 3))) + + def test_priority_with_scalar(self): + # test fix for bug #826: + + class A(np.ndarray): + __array_priority__ = 10 + + def __new__(cls): + return np.asarray(1.0, 'float64').view(cls).copy() + + a = A() + x = np.float64(1)*a + assert_(isinstance(x, A)) + assert_array_equal(x, np.array(1)) + + def test_priority(self): + + class A: + def __array__(self, dtype=None, copy=None): + return np.zeros(1) + + def __array_wrap__(self, arr, context, return_scalar): + r = type(self)() + r.arr = arr + r.context = context + return r + + class B(A): + __array_priority__ = 20. + + class C(A): + __array_priority__ = 40. + + x = np.zeros(1) + a = A() + b = B() + c = C() + f = ncu.minimum + assert_(type(f(x, x)) is np.ndarray) + assert_(type(f(x, a)) is A) + assert_(type(f(x, b)) is B) + assert_(type(f(x, c)) is C) + assert_(type(f(a, x)) is A) + assert_(type(f(b, x)) is B) + assert_(type(f(c, x)) is C) + + assert_(type(f(a, a)) is A) + assert_(type(f(a, b)) is B) + assert_(type(f(b, a)) is B) + assert_(type(f(b, b)) is B) + assert_(type(f(b, c)) is C) + assert_(type(f(c, b)) is C) + assert_(type(f(c, c)) is C) + + assert_(type(ncu.exp(a) is A)) + assert_(type(ncu.exp(b) is B)) + assert_(type(ncu.exp(c) is C)) + + def test_failing_wrap(self): + + class A: + def __array__(self, dtype=None, copy=None): + return np.zeros(2) + + def __array_wrap__(self, arr, context, return_scalar): + raise RuntimeError + + a = A() + assert_raises(RuntimeError, ncu.maximum, a, a) + assert_raises(RuntimeError, ncu.maximum.reduce, a) + + def test_failing_out_wrap(self): + + singleton = np.array([1.0]) + + class Ok(np.ndarray): + def __array_wrap__(self, obj, context, return_scalar): + return singleton + + class Bad(np.ndarray): + def __array_wrap__(self, obj, context, return_scalar): + raise RuntimeError + + ok = np.empty(1).view(Ok) + bad = np.empty(1).view(Bad) + # double-free (segfault) of "ok" if "bad" raises an exception + for i in range(10): + assert_raises(RuntimeError, ncu.frexp, 1, ok, bad) + + def test_none_wrap(self): + # Tests that issue #8507 is resolved. Previously, this would segfault + + class A: + def __array__(self, dtype=None, copy=None): + return np.zeros(1) + + def __array_wrap__(self, arr, context=None, return_scalar=False): + return None + + a = A() + assert_equal(ncu.maximum(a, a), None) + + def test_default_prepare(self): + + class with_wrap: + __array_priority__ = 10 + + def __array__(self, dtype=None, copy=None): + return np.zeros(1) + + def __array_wrap__(self, arr, context, return_scalar): + return arr + + a = with_wrap() + x = ncu.minimum(a, a) + assert_equal(x, np.zeros(1)) + assert_equal(type(x), np.ndarray) + + def test_array_too_many_args(self): + + class A: + def __array__(self, dtype, context, copy=None): + return np.zeros(1) + + a = A() + assert_raises_regex(TypeError, '2 required positional', np.sum, a) + + def test_ufunc_override(self): + # check override works even with instance with high priority. + class A: + def __array_ufunc__(self, func, method, *inputs, **kwargs): + return self, func, method, inputs, kwargs + + class MyNDArray(np.ndarray): + __array_priority__ = 100 + + a = A() + b = np.array([1]).view(MyNDArray) + res0 = np.multiply(a, b) + res1 = np.multiply(b, b, out=a) + + # self + assert_equal(res0[0], a) + assert_equal(res1[0], a) + assert_equal(res0[1], np.multiply) + assert_equal(res1[1], np.multiply) + assert_equal(res0[2], '__call__') + assert_equal(res1[2], '__call__') + assert_equal(res0[3], (a, b)) + assert_equal(res1[3], (b, b)) + assert_equal(res0[4], {}) + assert_equal(res1[4], {'out': (a,)}) + + def test_ufunc_override_mro(self): + + # Some multi arg functions for testing. + def tres_mul(a, b, c): + return a * b * c + + def quatro_mul(a, b, c, d): + return a * b * c * d + + # Make these into ufuncs. + three_mul_ufunc = np.frompyfunc(tres_mul, 3, 1) + four_mul_ufunc = np.frompyfunc(quatro_mul, 4, 1) + + class A: + def __array_ufunc__(self, func, method, *inputs, **kwargs): + return "A" + + class ASub(A): + def __array_ufunc__(self, func, method, *inputs, **kwargs): + return "ASub" + + class B: + def __array_ufunc__(self, func, method, *inputs, **kwargs): + return "B" + + class C: + def __init__(self): + self.count = 0 + + def __array_ufunc__(self, func, method, *inputs, **kwargs): + self.count += 1 + return NotImplemented + + class CSub(C): + def __array_ufunc__(self, func, method, *inputs, **kwargs): + self.count += 1 + return NotImplemented + + a = A() + a_sub = ASub() + b = B() + c = C() + + # Standard + res = np.multiply(a, a_sub) + assert_equal(res, "ASub") + res = np.multiply(a_sub, b) + assert_equal(res, "ASub") + + # With 1 NotImplemented + res = np.multiply(c, a) + assert_equal(res, "A") + assert_equal(c.count, 1) + # Check our counter works, so we can trust tests below. + res = np.multiply(c, a) + assert_equal(c.count, 2) + + # Both NotImplemented. + c = C() + c_sub = CSub() + assert_raises(TypeError, np.multiply, c, c_sub) + assert_equal(c.count, 1) + assert_equal(c_sub.count, 1) + c.count = c_sub.count = 0 + assert_raises(TypeError, np.multiply, c_sub, c) + assert_equal(c.count, 1) + assert_equal(c_sub.count, 1) + c.count = 0 + assert_raises(TypeError, np.multiply, c, c) + assert_equal(c.count, 1) + c.count = 0 + assert_raises(TypeError, np.multiply, 2, c) + assert_equal(c.count, 1) + + # Ternary testing. + assert_equal(three_mul_ufunc(a, 1, 2), "A") + assert_equal(three_mul_ufunc(1, a, 2), "A") + assert_equal(three_mul_ufunc(1, 2, a), "A") + + assert_equal(three_mul_ufunc(a, a, 6), "A") + assert_equal(three_mul_ufunc(a, 2, a), "A") + assert_equal(three_mul_ufunc(a, 2, b), "A") + assert_equal(three_mul_ufunc(a, 2, a_sub), "ASub") + assert_equal(three_mul_ufunc(a, a_sub, 3), "ASub") + c.count = 0 + assert_equal(three_mul_ufunc(c, a_sub, 3), "ASub") + assert_equal(c.count, 1) + c.count = 0 + assert_equal(three_mul_ufunc(1, a_sub, c), "ASub") + assert_equal(c.count, 0) + + c.count = 0 + assert_equal(three_mul_ufunc(a, b, c), "A") + assert_equal(c.count, 0) + c_sub.count = 0 + assert_equal(three_mul_ufunc(a, b, c_sub), "A") + assert_equal(c_sub.count, 0) + assert_equal(three_mul_ufunc(1, 2, b), "B") + + assert_raises(TypeError, three_mul_ufunc, 1, 2, c) + assert_raises(TypeError, three_mul_ufunc, c_sub, 2, c) + assert_raises(TypeError, three_mul_ufunc, c_sub, 2, 3) + + # Quaternary testing. + assert_equal(four_mul_ufunc(a, 1, 2, 3), "A") + assert_equal(four_mul_ufunc(1, a, 2, 3), "A") + assert_equal(four_mul_ufunc(1, 1, a, 3), "A") + assert_equal(four_mul_ufunc(1, 1, 2, a), "A") + + assert_equal(four_mul_ufunc(a, b, 2, 3), "A") + assert_equal(four_mul_ufunc(1, a, 2, b), "A") + assert_equal(four_mul_ufunc(b, 1, a, 3), "B") + assert_equal(four_mul_ufunc(a_sub, 1, 2, a), "ASub") + assert_equal(four_mul_ufunc(a, 1, 2, a_sub), "ASub") + + c = C() + c_sub = CSub() + assert_raises(TypeError, four_mul_ufunc, 1, 2, 3, c) + assert_equal(c.count, 1) + c.count = 0 + assert_raises(TypeError, four_mul_ufunc, 1, 2, c_sub, c) + assert_equal(c_sub.count, 1) + assert_equal(c.count, 1) + c2 = C() + c.count = c_sub.count = 0 + assert_raises(TypeError, four_mul_ufunc, 1, c, c_sub, c2) + assert_equal(c_sub.count, 1) + assert_equal(c.count, 1) + assert_equal(c2.count, 0) + c.count = c2.count = c_sub.count = 0 + assert_raises(TypeError, four_mul_ufunc, c2, c, c_sub, c) + assert_equal(c_sub.count, 1) + assert_equal(c.count, 0) + assert_equal(c2.count, 1) + + def test_ufunc_override_methods(self): + + class A: + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + return self, ufunc, method, inputs, kwargs + + # __call__ + a = A() + with assert_raises(TypeError): + np.multiply.__call__(1, a, foo='bar', answer=42) + res = np.multiply.__call__(1, a, subok='bar', where=42) + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], '__call__') + assert_equal(res[3], (1, a)) + assert_equal(res[4], {'subok': 'bar', 'where': 42}) + + # __call__, wrong args + assert_raises(TypeError, np.multiply, a) + assert_raises(TypeError, np.multiply, a, a, a, a) + assert_raises(TypeError, np.multiply, a, a, sig='a', signature='a') + assert_raises(TypeError, ncu_tests.inner1d, a, a, axis=0, axes=[0, 0]) + + # reduce, positional args + res = np.multiply.reduce(a, 'axis0', 'dtype0', 'out0', 'keep0') + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'reduce') + assert_equal(res[3], (a,)) + assert_equal(res[4], {'dtype':'dtype0', + 'out': ('out0',), + 'keepdims': 'keep0', + 'axis': 'axis0'}) + + # reduce, kwargs + res = np.multiply.reduce(a, axis='axis0', dtype='dtype0', out='out0', + keepdims='keep0', initial='init0', + where='where0') + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'reduce') + assert_equal(res[3], (a,)) + assert_equal(res[4], {'dtype':'dtype0', + 'out': ('out0',), + 'keepdims': 'keep0', + 'axis': 'axis0', + 'initial': 'init0', + 'where': 'where0'}) + + # reduce, output equal to None removed, but not other explicit ones, + # even if they are at their default value. + res = np.multiply.reduce(a, 0, None, None, False) + assert_equal(res[4], {'axis': 0, 'dtype': None, 'keepdims': False}) + res = np.multiply.reduce(a, out=None, axis=0, keepdims=True) + assert_equal(res[4], {'axis': 0, 'keepdims': True}) + res = np.multiply.reduce(a, None, out=(None,), dtype=None) + assert_equal(res[4], {'axis': None, 'dtype': None}) + res = np.multiply.reduce(a, 0, None, None, False, 2, True) + assert_equal(res[4], {'axis': 0, 'dtype': None, 'keepdims': False, + 'initial': 2, 'where': True}) + # np._NoValue ignored for initial + res = np.multiply.reduce(a, 0, None, None, False, + np._NoValue, True) + assert_equal(res[4], {'axis': 0, 'dtype': None, 'keepdims': False, + 'where': True}) + # None kept for initial, True for where. + res = np.multiply.reduce(a, 0, None, None, False, None, True) + assert_equal(res[4], {'axis': 0, 'dtype': None, 'keepdims': False, + 'initial': None, 'where': True}) + + # reduce, wrong args + assert_raises(ValueError, np.multiply.reduce, a, out=()) + assert_raises(ValueError, np.multiply.reduce, a, out=('out0', 'out1')) + assert_raises(TypeError, np.multiply.reduce, a, 'axis0', axis='axis0') + + # accumulate, pos args + res = np.multiply.accumulate(a, 'axis0', 'dtype0', 'out0') + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'accumulate') + assert_equal(res[3], (a,)) + assert_equal(res[4], {'dtype':'dtype0', + 'out': ('out0',), + 'axis': 'axis0'}) + + # accumulate, kwargs + res = np.multiply.accumulate(a, axis='axis0', dtype='dtype0', + out='out0') + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'accumulate') + assert_equal(res[3], (a,)) + assert_equal(res[4], {'dtype':'dtype0', + 'out': ('out0',), + 'axis': 'axis0'}) + + # accumulate, output equal to None removed. + res = np.multiply.accumulate(a, 0, None, None) + assert_equal(res[4], {'axis': 0, 'dtype': None}) + res = np.multiply.accumulate(a, out=None, axis=0, dtype='dtype1') + assert_equal(res[4], {'axis': 0, 'dtype': 'dtype1'}) + res = np.multiply.accumulate(a, None, out=(None,), dtype=None) + assert_equal(res[4], {'axis': None, 'dtype': None}) + + # accumulate, wrong args + assert_raises(ValueError, np.multiply.accumulate, a, out=()) + assert_raises(ValueError, np.multiply.accumulate, a, + out=('out0', 'out1')) + assert_raises(TypeError, np.multiply.accumulate, a, + 'axis0', axis='axis0') + + # reduceat, pos args + res = np.multiply.reduceat(a, [4, 2], 'axis0', 'dtype0', 'out0') + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'reduceat') + assert_equal(res[3], (a, [4, 2])) + assert_equal(res[4], {'dtype':'dtype0', + 'out': ('out0',), + 'axis': 'axis0'}) + + # reduceat, kwargs + res = np.multiply.reduceat(a, [4, 2], axis='axis0', dtype='dtype0', + out='out0') + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'reduceat') + assert_equal(res[3], (a, [4, 2])) + assert_equal(res[4], {'dtype':'dtype0', + 'out': ('out0',), + 'axis': 'axis0'}) + + # reduceat, output equal to None removed. + res = np.multiply.reduceat(a, [4, 2], 0, None, None) + assert_equal(res[4], {'axis': 0, 'dtype': None}) + res = np.multiply.reduceat(a, [4, 2], axis=None, out=None, dtype='dt') + assert_equal(res[4], {'axis': None, 'dtype': 'dt'}) + res = np.multiply.reduceat(a, [4, 2], None, None, out=(None,)) + assert_equal(res[4], {'axis': None, 'dtype': None}) + + # reduceat, wrong args + assert_raises(ValueError, np.multiply.reduce, a, [4, 2], out=()) + assert_raises(ValueError, np.multiply.reduce, a, [4, 2], + out=('out0', 'out1')) + assert_raises(TypeError, np.multiply.reduce, a, [4, 2], + 'axis0', axis='axis0') + + # outer + res = np.multiply.outer(a, 42) + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'outer') + assert_equal(res[3], (a, 42)) + assert_equal(res[4], {}) + + # outer, wrong args + assert_raises(TypeError, np.multiply.outer, a) + assert_raises(TypeError, np.multiply.outer, a, a, a, a) + assert_raises(TypeError, np.multiply.outer, a, a, sig='a', signature='a') + + # at + res = np.multiply.at(a, [4, 2], 'b0') + assert_equal(res[0], a) + assert_equal(res[1], np.multiply) + assert_equal(res[2], 'at') + assert_equal(res[3], (a, [4, 2], 'b0')) + + # at, wrong args + assert_raises(TypeError, np.multiply.at, a) + assert_raises(TypeError, np.multiply.at, a, a, a, a) + + def test_ufunc_override_out(self): + + class A: + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + return kwargs + + class B: + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + return kwargs + + a = A() + b = B() + res0 = np.multiply(a, b, 'out_arg') + res1 = np.multiply(a, b, out='out_arg') + res2 = np.multiply(2, b, 'out_arg') + res3 = np.multiply(3, b, out='out_arg') + res4 = np.multiply(a, 4, 'out_arg') + res5 = np.multiply(a, 5, out='out_arg') + + assert_equal(res0['out'][0], 'out_arg') + assert_equal(res1['out'][0], 'out_arg') + assert_equal(res2['out'][0], 'out_arg') + assert_equal(res3['out'][0], 'out_arg') + assert_equal(res4['out'][0], 'out_arg') + assert_equal(res5['out'][0], 'out_arg') + + # ufuncs with multiple output modf and frexp. + res6 = np.modf(a, 'out0', 'out1') + res7 = np.frexp(a, 'out0', 'out1') + assert_equal(res6['out'][0], 'out0') + assert_equal(res6['out'][1], 'out1') + assert_equal(res7['out'][0], 'out0') + assert_equal(res7['out'][1], 'out1') + + # While we're at it, check that default output is never passed on. + assert_(np.sin(a, None) == {}) + assert_(np.sin(a, out=None) == {}) + assert_(np.sin(a, out=(None,)) == {}) + assert_(np.modf(a, None) == {}) + assert_(np.modf(a, None, None) == {}) + assert_(np.modf(a, out=(None, None)) == {}) + with assert_raises(TypeError): + # Out argument must be tuple, since there are multiple outputs. + np.modf(a, out=None) + + # don't give positional and output argument, or too many arguments. + # wrong number of arguments in the tuple is an error too. + assert_raises(TypeError, np.multiply, a, b, 'one', out='two') + assert_raises(TypeError, np.multiply, a, b, 'one', 'two') + assert_raises(ValueError, np.multiply, a, b, out=('one', 'two')) + assert_raises(TypeError, np.multiply, a, out=()) + assert_raises(TypeError, np.modf, a, 'one', out=('two', 'three')) + assert_raises(TypeError, np.modf, a, 'one', 'two', 'three') + assert_raises(ValueError, np.modf, a, out=('one', 'two', 'three')) + assert_raises(ValueError, np.modf, a, out=('one',)) + + def test_ufunc_override_where(self): + + class OverriddenArrayOld(np.ndarray): + + def _unwrap(self, objs): + cls = type(self) + result = [] + for obj in objs: + if isinstance(obj, cls): + obj = np.array(obj) + elif type(obj) != np.ndarray: + return NotImplemented + result.append(obj) + return result + + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + + inputs = self._unwrap(inputs) + if inputs is NotImplemented: + return NotImplemented + + kwargs = kwargs.copy() + if "out" in kwargs: + kwargs["out"] = self._unwrap(kwargs["out"]) + if kwargs["out"] is NotImplemented: + return NotImplemented + + r = super().__array_ufunc__(ufunc, method, *inputs, **kwargs) + if r is not NotImplemented: + r = r.view(type(self)) + + return r + + class OverriddenArrayNew(OverriddenArrayOld): + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + + kwargs = kwargs.copy() + if "where" in kwargs: + kwargs["where"] = self._unwrap((kwargs["where"], )) + if kwargs["where"] is NotImplemented: + return NotImplemented + else: + kwargs["where"] = kwargs["where"][0] + + r = super().__array_ufunc__(ufunc, method, *inputs, **kwargs) + if r is not NotImplemented: + r = r.view(type(self)) + + return r + + ufunc = np.negative + + array = np.array([1, 2, 3]) + where = np.array([True, False, True]) + expected = ufunc(array, where=where) + + with pytest.raises(TypeError): + ufunc(array, where=where.view(OverriddenArrayOld)) + + result_1 = ufunc( + array, + where=where.view(OverriddenArrayNew) + ) + assert isinstance(result_1, OverriddenArrayNew) + assert np.all(np.array(result_1) == expected, where=where) + + result_2 = ufunc( + array.view(OverriddenArrayNew), + where=where.view(OverriddenArrayNew) + ) + assert isinstance(result_2, OverriddenArrayNew) + assert np.all(np.array(result_2) == expected, where=where) + + def test_ufunc_override_exception(self): + + class A: + def __array_ufunc__(self, *a, **kwargs): + raise ValueError("oops") + + a = A() + assert_raises(ValueError, np.negative, 1, out=a) + assert_raises(ValueError, np.negative, a) + assert_raises(ValueError, np.divide, 1., a) + + def test_ufunc_override_not_implemented(self): + + class A: + def __array_ufunc__(self, *args, **kwargs): + return NotImplemented + + msg = ("operand type(s) all returned NotImplemented from " + "__array_ufunc__(, '__call__', <*>): 'A'") + with assert_raises_regex(TypeError, fnmatch.translate(msg)): + np.negative(A()) + + msg = ("operand type(s) all returned NotImplemented from " + "__array_ufunc__(, '__call__', <*>, , " + "out=(1,)): 'A', 'object', 'int'") + with assert_raises_regex(TypeError, fnmatch.translate(msg)): + np.add(A(), object(), out=1) + + def test_ufunc_override_disabled(self): + + class OptOut: + __array_ufunc__ = None + + opt_out = OptOut() + + # ufuncs always raise + msg = "operand 'OptOut' does not support ufuncs" + with assert_raises_regex(TypeError, msg): + np.add(opt_out, 1) + with assert_raises_regex(TypeError, msg): + np.add(1, opt_out) + with assert_raises_regex(TypeError, msg): + np.negative(opt_out) + + # opt-outs still hold even when other arguments have pathological + # __array_ufunc__ implementations + + class GreedyArray: + def __array_ufunc__(self, *args, **kwargs): + return self + + greedy = GreedyArray() + assert_(np.negative(greedy) is greedy) + with assert_raises_regex(TypeError, msg): + np.add(greedy, opt_out) + with assert_raises_regex(TypeError, msg): + np.add(greedy, 1, out=opt_out) + + def test_gufunc_override(self): + # gufunc are just ufunc instances, but follow a different path, + # so check __array_ufunc__ overrides them properly. + class A: + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + return self, ufunc, method, inputs, kwargs + + inner1d = ncu_tests.inner1d + a = A() + res = inner1d(a, a) + assert_equal(res[0], a) + assert_equal(res[1], inner1d) + assert_equal(res[2], '__call__') + assert_equal(res[3], (a, a)) + assert_equal(res[4], {}) + + res = inner1d(1, 1, out=a) + assert_equal(res[0], a) + assert_equal(res[1], inner1d) + assert_equal(res[2], '__call__') + assert_equal(res[3], (1, 1)) + assert_equal(res[4], {'out': (a,)}) + + # wrong number of arguments in the tuple is an error too. + assert_raises(TypeError, inner1d, a, out='two') + assert_raises(TypeError, inner1d, a, a, 'one', out='two') + assert_raises(TypeError, inner1d, a, a, 'one', 'two') + assert_raises(ValueError, inner1d, a, a, out=('one', 'two')) + assert_raises(ValueError, inner1d, a, a, out=()) + + def test_ufunc_override_with_super(self): + # NOTE: this class is used in doc/source/user/basics.subclassing.rst + # if you make any changes here, do update it there too. + class A(np.ndarray): + def __array_ufunc__(self, ufunc, method, *inputs, out=None, **kwargs): + args = [] + in_no = [] + for i, input_ in enumerate(inputs): + if isinstance(input_, A): + in_no.append(i) + args.append(input_.view(np.ndarray)) + else: + args.append(input_) + + outputs = out + out_no = [] + if outputs: + out_args = [] + for j, output in enumerate(outputs): + if isinstance(output, A): + out_no.append(j) + out_args.append(output.view(np.ndarray)) + else: + out_args.append(output) + kwargs['out'] = tuple(out_args) + else: + outputs = (None,) * ufunc.nout + + info = {} + if in_no: + info['inputs'] = in_no + if out_no: + info['outputs'] = out_no + + results = super().__array_ufunc__(ufunc, method, + *args, **kwargs) + if results is NotImplemented: + return NotImplemented + + if method == 'at': + if isinstance(inputs[0], A): + inputs[0].info = info + return + + if ufunc.nout == 1: + results = (results,) + + results = tuple((np.asarray(result).view(A) + if output is None else output) + for result, output in zip(results, outputs)) + if results and isinstance(results[0], A): + results[0].info = info + + return results[0] if len(results) == 1 else results + + class B: + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + if any(isinstance(input_, A) for input_ in inputs): + return "A!" + else: + return NotImplemented + + d = np.arange(5.) + # 1 input, 1 output + a = np.arange(5.).view(A) + b = np.sin(a) + check = np.sin(d) + assert_(np.all(check == b)) + assert_equal(b.info, {'inputs': [0]}) + b = np.sin(d, out=(a,)) + assert_(np.all(check == b)) + assert_equal(b.info, {'outputs': [0]}) + assert_(b is a) + a = np.arange(5.).view(A) + b = np.sin(a, out=a) + assert_(np.all(check == b)) + assert_equal(b.info, {'inputs': [0], 'outputs': [0]}) + + # 1 input, 2 outputs + a = np.arange(5.).view(A) + b1, b2 = np.modf(a) + assert_equal(b1.info, {'inputs': [0]}) + b1, b2 = np.modf(d, out=(None, a)) + assert_(b2 is a) + assert_equal(b1.info, {'outputs': [1]}) + a = np.arange(5.).view(A) + b = np.arange(5.).view(A) + c1, c2 = np.modf(a, out=(a, b)) + assert_(c1 is a) + assert_(c2 is b) + assert_equal(c1.info, {'inputs': [0], 'outputs': [0, 1]}) + + # 2 input, 1 output + a = np.arange(5.).view(A) + b = np.arange(5.).view(A) + c = np.add(a, b, out=a) + assert_(c is a) + assert_equal(c.info, {'inputs': [0, 1], 'outputs': [0]}) + # some tests with a non-ndarray subclass + a = np.arange(5.) + b = B() + assert_(a.__array_ufunc__(np.add, '__call__', a, b) is NotImplemented) + assert_(b.__array_ufunc__(np.add, '__call__', a, b) is NotImplemented) + assert_raises(TypeError, np.add, a, b) + a = a.view(A) + assert_(a.__array_ufunc__(np.add, '__call__', a, b) is NotImplemented) + assert_(b.__array_ufunc__(np.add, '__call__', a, b) == "A!") + assert_(np.add(a, b) == "A!") + # regression check for gh-9102 -- tests ufunc.reduce implicitly. + d = np.array([[1, 2, 3], [1, 2, 3]]) + a = d.view(A) + c = a.any() + check = d.any() + assert_equal(c, check) + assert_(c.info, {'inputs': [0]}) + c = a.max() + check = d.max() + assert_equal(c, check) + assert_(c.info, {'inputs': [0]}) + b = np.array(0).view(A) + c = a.max(out=b) + assert_equal(c, check) + assert_(c is b) + assert_(c.info, {'inputs': [0], 'outputs': [0]}) + check = a.max(axis=0) + b = np.zeros_like(check).view(A) + c = a.max(axis=0, out=b) + assert_equal(c, check) + assert_(c is b) + assert_(c.info, {'inputs': [0], 'outputs': [0]}) + # simple explicit tests of reduce, accumulate, reduceat + check = np.add.reduce(d, axis=1) + c = np.add.reduce(a, axis=1) + assert_equal(c, check) + assert_(c.info, {'inputs': [0]}) + b = np.zeros_like(c) + c = np.add.reduce(a, 1, None, b) + assert_equal(c, check) + assert_(c is b) + assert_(c.info, {'inputs': [0], 'outputs': [0]}) + check = np.add.accumulate(d, axis=0) + c = np.add.accumulate(a, axis=0) + assert_equal(c, check) + assert_(c.info, {'inputs': [0]}) + b = np.zeros_like(c) + c = np.add.accumulate(a, 0, None, b) + assert_equal(c, check) + assert_(c is b) + assert_(c.info, {'inputs': [0], 'outputs': [0]}) + indices = [0, 2, 1] + check = np.add.reduceat(d, indices, axis=1) + c = np.add.reduceat(a, indices, axis=1) + assert_equal(c, check) + assert_(c.info, {'inputs': [0]}) + b = np.zeros_like(c) + c = np.add.reduceat(a, indices, 1, None, b) + assert_equal(c, check) + assert_(c is b) + assert_(c.info, {'inputs': [0], 'outputs': [0]}) + # and a few tests for at + d = np.array([[1, 2, 3], [1, 2, 3]]) + check = d.copy() + a = d.copy().view(A) + np.add.at(check, ([0, 1], [0, 2]), 1.) + np.add.at(a, ([0, 1], [0, 2]), 1.) + assert_equal(a, check) + assert_(a.info, {'inputs': [0]}) + b = np.array(1.).view(A) + a = d.copy().view(A) + np.add.at(a, ([0, 1], [0, 2]), b) + assert_equal(a, check) + assert_(a.info, {'inputs': [0, 2]}) + + def test_array_ufunc_direct_call(self): + # This is mainly a regression test for gh-24023 (shouldn't segfault) + a = np.array(1) + with pytest.raises(TypeError): + a.__array_ufunc__() + + # No kwargs means kwargs may be NULL on the C-level + with pytest.raises(TypeError): + a.__array_ufunc__(1, 2) + + # And the same with a valid call: + res = a.__array_ufunc__(np.add, "__call__", a, a) + assert_array_equal(res, a + a) + + def test_ufunc_docstring(self): + original_doc = np.add.__doc__ + new_doc = "new docs" + expected_dict = ( + {} if IS_PYPY else {"__module__": "numpy", "__qualname__": "add"} + ) + + np.add.__doc__ = new_doc + assert np.add.__doc__ == new_doc + assert np.add.__dict__["__doc__"] == new_doc + + del np.add.__doc__ + assert np.add.__doc__ == original_doc + assert np.add.__dict__ == expected_dict + + np.add.__dict__["other"] = 1 + np.add.__dict__["__doc__"] = new_doc + assert np.add.__doc__ == new_doc + + del np.add.__dict__["__doc__"] + assert np.add.__doc__ == original_doc + del np.add.__dict__["other"] + assert np.add.__dict__ == expected_dict + + +class TestChoose: + def test_mixed(self): + c = np.array([True, True]) + a = np.array([True, True]) + assert_equal(np.choose(c, (a, 1)), np.array([1, 1])) + + +class TestRationalFunctions: + def test_lcm(self): + self._test_lcm_inner(np.int16) + self._test_lcm_inner(np.uint16) + + def test_lcm_object(self): + self._test_lcm_inner(np.object_) + + def test_gcd(self): + self._test_gcd_inner(np.int16) + self._test_lcm_inner(np.uint16) + + def test_gcd_object(self): + self._test_gcd_inner(np.object_) + + def _test_lcm_inner(self, dtype): + # basic use + a = np.array([12, 120], dtype=dtype) + b = np.array([20, 200], dtype=dtype) + assert_equal(np.lcm(a, b), [60, 600]) + + if not issubclass(dtype, np.unsignedinteger): + # negatives are ignored + a = np.array([12, -12, 12, -12], dtype=dtype) + b = np.array([20, 20, -20, -20], dtype=dtype) + assert_equal(np.lcm(a, b), [60]*4) + + # reduce + a = np.array([3, 12, 20], dtype=dtype) + assert_equal(np.lcm.reduce([3, 12, 20]), 60) + + # broadcasting, and a test including 0 + a = np.arange(6).astype(dtype) + b = 20 + assert_equal(np.lcm(a, b), [0, 20, 20, 60, 20, 20]) + + def _test_gcd_inner(self, dtype): + # basic use + a = np.array([12, 120], dtype=dtype) + b = np.array([20, 200], dtype=dtype) + assert_equal(np.gcd(a, b), [4, 40]) + + if not issubclass(dtype, np.unsignedinteger): + # negatives are ignored + a = np.array([12, -12, 12, -12], dtype=dtype) + b = np.array([20, 20, -20, -20], dtype=dtype) + assert_equal(np.gcd(a, b), [4]*4) + + # reduce + a = np.array([15, 25, 35], dtype=dtype) + assert_equal(np.gcd.reduce(a), 5) + + # broadcasting, and a test including 0 + a = np.arange(6).astype(dtype) + b = 20 + assert_equal(np.gcd(a, b), [20, 1, 2, 1, 4, 5]) + + def test_lcm_overflow(self): + # verify that we don't overflow when a*b does overflow + big = np.int32(np.iinfo(np.int32).max // 11) + a = 2*big + b = 5*big + assert_equal(np.lcm(a, b), 10*big) + + def test_gcd_overflow(self): + for dtype in (np.int32, np.int64): + # verify that we don't overflow when taking abs(x) + # not relevant for lcm, where the result is unrepresentable anyway + a = dtype(np.iinfo(dtype).min) # negative power of two + q = -(a // 4) + assert_equal(np.gcd(a, q*3), q) + assert_equal(np.gcd(a, -q*3), q) + + def test_decimal(self): + from decimal import Decimal + a = np.array([1, 1, -1, -1]) * Decimal('0.20') + b = np.array([1, -1, 1, -1]) * Decimal('0.12') + + assert_equal(np.gcd(a, b), 4*[Decimal('0.04')]) + assert_equal(np.lcm(a, b), 4*[Decimal('0.60')]) + + def test_float(self): + # not well-defined on float due to rounding errors + assert_raises(TypeError, np.gcd, 0.3, 0.4) + assert_raises(TypeError, np.lcm, 0.3, 0.4) + + def test_huge_integers(self): + # Converting to an array first is a bit different as it means we + # have an explicit object dtype: + assert_equal(np.array(2**200), 2**200) + # Special promotion rules should ensure that this also works for + # two Python integers (even if slow). + # (We do this for comparisons, as the result is always bool and + # we also special case array comparisons with Python integers) + np.equal(2**200, 2**200) + + # But, we cannot do this when it would affect the result dtype: + with pytest.raises(OverflowError): + np.gcd(2**100, 3**100) + + # Asking for `object` explicitly is fine, though: + assert np.gcd(2**100, 3**100, dtype=object) == 1 + + # As of now, the below work, because it is using arrays (which + # will be object arrays) + a = np.array(2**100 * 3**5) + b = np.array([2**100 * 5**7, 2**50 * 3**10]) + assert_equal(np.gcd(a, b), [2**100, 2**50 * 3**5]) + assert_equal(np.lcm(a, b), [2**100 * 3**5 * 5**7, 2**100 * 3**10]) + + def test_inf_and_nan(self): + inf = np.array([np.inf], dtype=np.object_) + assert_raises(ValueError, np.gcd, inf, 1) + assert_raises(ValueError, np.gcd, 1, inf) + assert_raises(ValueError, np.gcd, np.nan, inf) + assert_raises(TypeError, np.gcd, 4, float(np.inf)) + + + +class TestRoundingFunctions: + + def test_object_direct(self): + """ test direct implementation of these magic methods """ + class C: + def __floor__(self): + return 1 + def __ceil__(self): + return 2 + def __trunc__(self): + return 3 + + arr = np.array([C(), C()]) + assert_equal(np.floor(arr), [1, 1]) + assert_equal(np.ceil(arr), [2, 2]) + assert_equal(np.trunc(arr), [3, 3]) + + def test_object_indirect(self): + """ test implementations via __float__ """ + class C: + def __float__(self): + return -2.5 + + arr = np.array([C(), C()]) + assert_equal(np.floor(arr), [-3, -3]) + assert_equal(np.ceil(arr), [-2, -2]) + with pytest.raises(TypeError): + np.trunc(arr) # consistent with math.trunc + + def test_fraction(self): + f = Fraction(-4, 3) + assert_equal(np.floor(f), -2) + assert_equal(np.ceil(f), -1) + assert_equal(np.trunc(f), -1) + + @pytest.mark.parametrize('func', [np.floor, np.ceil, np.trunc]) + @pytest.mark.parametrize('dtype', [np.bool, np.float64, np.float32, + np.int64, np.uint32]) + def test_output_dtype(self, func, dtype): + arr = np.array([-2, 0, 4, 8]).astype(dtype) + result = func(arr) + assert_equal(arr, result) + assert result.dtype == dtype + + +class TestComplexFunctions: + funcs = [np.arcsin, np.arccos, np.arctan, np.arcsinh, np.arccosh, + np.arctanh, np.sin, np.cos, np.tan, np.exp, + np.exp2, np.log, np.sqrt, np.log10, np.log2, + np.log1p] + + def test_it(self): + for f in self.funcs: + if f is np.arccosh: + x = 1.5 + else: + x = .5 + fr = f(x) + fz = f(complex(x)) + assert_almost_equal(fz.real, fr, err_msg='real part %s' % f) + assert_almost_equal(fz.imag, 0., err_msg='imag part %s' % f) + + @pytest.mark.xfail(IS_WASM, reason="doesn't work") + def test_precisions_consistent(self): + z = 1 + 1j + for f in self.funcs: + fcf = f(np.csingle(z)) + fcd = f(np.cdouble(z)) + fcl = f(np.clongdouble(z)) + assert_almost_equal(fcf, fcd, decimal=6, err_msg='fch-fcd %s' % f) + assert_almost_equal(fcl, fcd, decimal=15, err_msg='fch-fcl %s' % f) + + @pytest.mark.xfail(IS_WASM, reason="doesn't work") + def test_branch_cuts(self): + # check branch cuts and continuity on them + _check_branch_cut(np.log, -0.5, 1j, 1, -1, True) + _check_branch_cut(np.log2, -0.5, 1j, 1, -1, True) + _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True) + _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True) + _check_branch_cut(np.sqrt, -0.5, 1j, 1, -1, True) + + _check_branch_cut(np.arcsin, [ -2, 2], [1j, 1j], 1, -1, True) + _check_branch_cut(np.arccos, [ -2, 2], [1j, 1j], 1, -1, True) + _check_branch_cut(np.arctan, [0-2j, 2j], [1, 1], -1, 1, True) + + _check_branch_cut(np.arcsinh, [0-2j, 2j], [1, 1], -1, 1, True) + _check_branch_cut(np.arccosh, [ -1, 0.5], [1j, 1j], 1, -1, True) + _check_branch_cut(np.arctanh, [ -2, 2], [1j, 1j], 1, -1, True) + + # check against bogus branch cuts: assert continuity between quadrants + _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1, 1], 1, 1) + _check_branch_cut(np.arccos, [0-2j, 2j], [ 1, 1], 1, 1) + _check_branch_cut(np.arctan, [ -2, 2], [1j, 1j], 1, 1) + + _check_branch_cut(np.arcsinh, [ -2, 2, 0], [1j, 1j, 1], 1, 1) + _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1, 1, 1j], 1, 1) + _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1, 1, 1j], 1, 1) + + @pytest.mark.xfail(IS_WASM, reason="doesn't work") + def test_branch_cuts_complex64(self): + # check branch cuts and continuity on them + _check_branch_cut(np.log, -0.5, 1j, 1, -1, True, np.complex64) + _check_branch_cut(np.log2, -0.5, 1j, 1, -1, True, np.complex64) + _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True, np.complex64) + _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True, np.complex64) + _check_branch_cut(np.sqrt, -0.5, 1j, 1, -1, True, np.complex64) + + _check_branch_cut(np.arcsin, [ -2, 2], [1j, 1j], 1, -1, True, np.complex64) + _check_branch_cut(np.arccos, [ -2, 2], [1j, 1j], 1, -1, True, np.complex64) + _check_branch_cut(np.arctan, [0-2j, 2j], [1, 1], -1, 1, True, np.complex64) + + _check_branch_cut(np.arcsinh, [0-2j, 2j], [1, 1], -1, 1, True, np.complex64) + _check_branch_cut(np.arccosh, [ -1, 0.5], [1j, 1j], 1, -1, True, np.complex64) + _check_branch_cut(np.arctanh, [ -2, 2], [1j, 1j], 1, -1, True, np.complex64) + + # check against bogus branch cuts: assert continuity between quadrants + _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1, 1], 1, 1, False, np.complex64) + _check_branch_cut(np.arccos, [0-2j, 2j], [ 1, 1], 1, 1, False, np.complex64) + _check_branch_cut(np.arctan, [ -2, 2], [1j, 1j], 1, 1, False, np.complex64) + + _check_branch_cut(np.arcsinh, [ -2, 2, 0], [1j, 1j, 1], 1, 1, False, np.complex64) + _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1, 1, 1j], 1, 1, False, np.complex64) + _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1, 1, 1j], 1, 1, False, np.complex64) + + def test_against_cmath(self): + import cmath + + points = [-1-1j, -1+1j, +1-1j, +1+1j] + name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan', + 'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'} + atol = 4*np.finfo(complex).eps + for func in self.funcs: + fname = func.__name__.split('.')[-1] + cname = name_map.get(fname, fname) + try: + cfunc = getattr(cmath, cname) + except AttributeError: + continue + for p in points: + a = complex(func(np.complex128(p))) + b = cfunc(p) + assert_( + abs(a - b) < atol, + "%s %s: %s; cmath: %s" % (fname, p, a, b) + ) + + @pytest.mark.xfail( + # manylinux2014 uses glibc2.17 + _glibc_older_than("2.18"), + reason="Older glibc versions are imprecise (maybe passes with SIMD?)" + ) + @pytest.mark.xfail(IS_WASM, reason="doesn't work") + @pytest.mark.parametrize('dtype', [ + np.complex64, np.complex128, np.clongdouble + ]) + def test_loss_of_precision(self, dtype): + """Check loss of precision in complex arc* functions""" + if dtype is np.clongdouble and platform.machine() != 'x86_64': + # Failures on musllinux, aarch64, s390x, ppc64le (see gh-17554) + pytest.skip('Only works reliably for x86-64 and recent glibc') + + # Check against known-good functions + + info = np.finfo(dtype) + real_dtype = dtype(0.).real.dtype + eps = info.eps + + def check(x, rtol): + x = x.astype(real_dtype) + + z = x.astype(dtype) + d = np.absolute(np.arcsinh(x)/np.arcsinh(z).real - 1) + assert_(np.all(d < rtol), (np.argmax(d), x[np.argmax(d)], d.max(), + 'arcsinh')) + + z = (1j*x).astype(dtype) + d = np.absolute(np.arcsinh(x)/np.arcsin(z).imag - 1) + assert_(np.all(d < rtol), (np.argmax(d), x[np.argmax(d)], d.max(), + 'arcsin')) + + z = x.astype(dtype) + d = np.absolute(np.arctanh(x)/np.arctanh(z).real - 1) + assert_(np.all(d < rtol), (np.argmax(d), x[np.argmax(d)], d.max(), + 'arctanh')) + + z = (1j*x).astype(dtype) + d = np.absolute(np.arctanh(x)/np.arctan(z).imag - 1) + assert_(np.all(d < rtol), (np.argmax(d), x[np.argmax(d)], d.max(), + 'arctan')) + + # The switchover was chosen as 1e-3; hence there can be up to + # ~eps/1e-3 of relative cancellation error before it + + x_series = np.logspace(-20, -3.001, 200) + x_basic = np.logspace(-2.999, 0, 10, endpoint=False) + + if dtype is np.clongdouble: + if bad_arcsinh(): + pytest.skip("Trig functions of np.clongdouble values known " + "to be inaccurate on aarch64 and PPC for some " + "compilation configurations.") + # It's not guaranteed that the system-provided arc functions + # are accurate down to a few epsilons. (Eg. on Linux 64-bit) + # So, give more leeway for long complex tests here: + check(x_series, 50.0*eps) + else: + check(x_series, 2.1*eps) + check(x_basic, 2.0*eps/1e-3) + + # Check a few points + + z = np.array([1e-5*(1+1j)], dtype=dtype) + p = 9.999999999333333333e-6 + 1.000000000066666666e-5j + d = np.absolute(1-np.arctanh(z)/p) + assert_(np.all(d < 1e-15)) + + p = 1.0000000000333333333e-5 + 9.999999999666666667e-6j + d = np.absolute(1-np.arcsinh(z)/p) + assert_(np.all(d < 1e-15)) + + p = 9.999999999333333333e-6j + 1.000000000066666666e-5 + d = np.absolute(1-np.arctan(z)/p) + assert_(np.all(d < 1e-15)) + + p = 1.0000000000333333333e-5j + 9.999999999666666667e-6 + d = np.absolute(1-np.arcsin(z)/p) + assert_(np.all(d < 1e-15)) + + # Check continuity across switchover points + + def check(func, z0, d=1): + z0 = np.asarray(z0, dtype=dtype) + zp = z0 + abs(z0) * d * eps * 2 + zm = z0 - abs(z0) * d * eps * 2 + assert_(np.all(zp != zm), (zp, zm)) + + # NB: the cancellation error at the switchover is at least eps + good = (abs(func(zp) - func(zm)) < 2*eps) + assert_(np.all(good), (func, z0[~good])) + + for func in (np.arcsinh, np.arcsinh, np.arcsin, np.arctanh, np.arctan): + pts = [rp+1j*ip for rp in (-1e-3, 0, 1e-3) for ip in(-1e-3, 0, 1e-3) + if rp != 0 or ip != 0] + check(func, pts, 1) + check(func, pts, 1j) + check(func, pts, 1+1j) + + @np.errstate(all="ignore") + def test_promotion_corner_cases(self): + for func in self.funcs: + assert func(np.float16(1)).dtype == np.float16 + # Integer to low precision float promotion is a dubious choice: + assert func(np.uint8(1)).dtype == np.float16 + assert func(np.int16(1)).dtype == np.float32 + + +class TestAttributes: + def test_attributes(self): + add = ncu.add + assert_equal(add.__name__, 'add') + assert_(add.ntypes >= 18) # don't fail if types added + assert_('ii->i' in add.types) + assert_equal(add.nin, 2) + assert_equal(add.nout, 1) + assert_equal(add.identity, 0) + + def test_doc(self): + # don't bother checking the long list of kwargs, which are likely to + # change + assert_(ncu.add.__doc__.startswith( + "add(x1, x2, /, out=None, *, where=True")) + assert_(ncu.frexp.__doc__.startswith( + "frexp(x[, out1, out2], / [, out=(None, None)], *, where=True")) + + +class TestSubclass: + + def test_subclass_op(self): + + class simple(np.ndarray): + def __new__(subtype, shape): + self = np.ndarray.__new__(subtype, shape, dtype=object) + self.fill(0) + return self + + a = simple((3, 4)) + assert_equal(a+a, a) + + +class TestFrompyfunc: + + def test_identity(self): + def mul(a, b): + return a * b + + # with identity=value + mul_ufunc = np.frompyfunc(mul, nin=2, nout=1, identity=1) + assert_equal(mul_ufunc.reduce([2, 3, 4]), 24) + assert_equal(mul_ufunc.reduce(np.ones((2, 2)), axis=(0, 1)), 1) + assert_equal(mul_ufunc.reduce([]), 1) + + # with identity=None (reorderable) + mul_ufunc = np.frompyfunc(mul, nin=2, nout=1, identity=None) + assert_equal(mul_ufunc.reduce([2, 3, 4]), 24) + assert_equal(mul_ufunc.reduce(np.ones((2, 2)), axis=(0, 1)), 1) + assert_raises(ValueError, lambda: mul_ufunc.reduce([])) + + # with no identity (not reorderable) + mul_ufunc = np.frompyfunc(mul, nin=2, nout=1) + assert_equal(mul_ufunc.reduce([2, 3, 4]), 24) + assert_raises(ValueError, lambda: mul_ufunc.reduce(np.ones((2, 2)), axis=(0, 1))) + assert_raises(ValueError, lambda: mul_ufunc.reduce([])) + + +def _check_branch_cut(f, x0, dx, re_sign=1, im_sign=-1, sig_zero_ok=False, + dtype=complex): + """ + Check for a branch cut in a function. + + Assert that `x0` lies on a branch cut of function `f` and `f` is + continuous from the direction `dx`. + + Parameters + ---------- + f : func + Function to check + x0 : array-like + Point on branch cut + dx : array-like + Direction to check continuity in + re_sign, im_sign : {1, -1} + Change of sign of the real or imaginary part expected + sig_zero_ok : bool + Whether to check if the branch cut respects signed zero (if applicable) + dtype : dtype + Dtype to check (should be complex) + + """ + x0 = np.atleast_1d(x0).astype(dtype) + dx = np.atleast_1d(dx).astype(dtype) + + if np.dtype(dtype).char == 'F': + scale = np.finfo(dtype).eps * 1e2 + atol = np.float32(1e-2) + else: + scale = np.finfo(dtype).eps * 1e3 + atol = 1e-4 + + y0 = f(x0) + yp = f(x0 + dx*scale*np.absolute(x0)/np.absolute(dx)) + ym = f(x0 - dx*scale*np.absolute(x0)/np.absolute(dx)) + + assert_(np.all(np.absolute(y0.real - yp.real) < atol), (y0, yp)) + assert_(np.all(np.absolute(y0.imag - yp.imag) < atol), (y0, yp)) + assert_(np.all(np.absolute(y0.real - ym.real*re_sign) < atol), (y0, ym)) + assert_(np.all(np.absolute(y0.imag - ym.imag*im_sign) < atol), (y0, ym)) + + if sig_zero_ok: + # check that signed zeros also work as a displacement + jr = (x0.real == 0) & (dx.real != 0) + ji = (x0.imag == 0) & (dx.imag != 0) + if np.any(jr): + x = x0[jr] + x.real = ncu.NZERO + ym = f(x) + assert_(np.all(np.absolute(y0[jr].real - ym.real*re_sign) < atol), (y0[jr], ym)) + assert_(np.all(np.absolute(y0[jr].imag - ym.imag*im_sign) < atol), (y0[jr], ym)) + + if np.any(ji): + x = x0[ji] + x.imag = ncu.NZERO + ym = f(x) + assert_(np.all(np.absolute(y0[ji].real - ym.real*re_sign) < atol), (y0[ji], ym)) + assert_(np.all(np.absolute(y0[ji].imag - ym.imag*im_sign) < atol), (y0[ji], ym)) + +def test_copysign(): + assert_(np.copysign(1, -1) == -1) + with np.errstate(divide="ignore"): + assert_(1 / np.copysign(0, -1) < 0) + assert_(1 / np.copysign(0, 1) > 0) + assert_(np.signbit(np.copysign(np.nan, -1))) + assert_(not np.signbit(np.copysign(np.nan, 1))) + +def _test_nextafter(t): + one = t(1) + two = t(2) + zero = t(0) + eps = np.finfo(t).eps + assert_(np.nextafter(one, two) - one == eps) + assert_(np.nextafter(one, zero) - one < 0) + assert_(np.isnan(np.nextafter(np.nan, one))) + assert_(np.isnan(np.nextafter(one, np.nan))) + assert_(np.nextafter(one, one) == one) + +def test_nextafter(): + return _test_nextafter(np.float64) + + +def test_nextafterf(): + return _test_nextafter(np.float32) + + +@pytest.mark.skipif(np.finfo(np.double) == np.finfo(np.longdouble), + reason="long double is same as double") +@pytest.mark.xfail(condition=platform.machine().startswith("ppc64"), + reason="IBM double double") +def test_nextafterl(): + return _test_nextafter(np.longdouble) + + +def test_nextafter_0(): + for t, direction in itertools.product(np._core.sctypes['float'], (1, -1)): + # The value of tiny for double double is NaN, so we need to pass the + # assert + with suppress_warnings() as sup: + sup.filter(UserWarning) + if not np.isnan(np.finfo(t).tiny): + tiny = np.finfo(t).tiny + assert_( + 0. < direction * np.nextafter(t(0), t(direction)) < tiny) + assert_equal(np.nextafter(t(0), t(direction)) / t(2.1), direction * 0.0) + +def _test_spacing(t): + one = t(1) + eps = np.finfo(t).eps + nan = t(np.nan) + inf = t(np.inf) + with np.errstate(invalid='ignore'): + assert_equal(np.spacing(one), eps) + assert_(np.isnan(np.spacing(nan))) + assert_(np.isnan(np.spacing(inf))) + assert_(np.isnan(np.spacing(-inf))) + assert_(np.spacing(t(1e30)) != 0) + +def test_spacing(): + return _test_spacing(np.float64) + +def test_spacingf(): + return _test_spacing(np.float32) + + +@pytest.mark.skipif(np.finfo(np.double) == np.finfo(np.longdouble), + reason="long double is same as double") +@pytest.mark.xfail(condition=platform.machine().startswith("ppc64"), + reason="IBM double double") +def test_spacingl(): + return _test_spacing(np.longdouble) + +def test_spacing_gfortran(): + # Reference from this fortran file, built with gfortran 4.3.3 on linux + # 32bits: + # PROGRAM test_spacing + # INTEGER, PARAMETER :: SGL = SELECTED_REAL_KIND(p=6, r=37) + # INTEGER, PARAMETER :: DBL = SELECTED_REAL_KIND(p=13, r=200) + # + # WRITE(*,*) spacing(0.00001_DBL) + # WRITE(*,*) spacing(1.0_DBL) + # WRITE(*,*) spacing(1000._DBL) + # WRITE(*,*) spacing(10500._DBL) + # + # WRITE(*,*) spacing(0.00001_SGL) + # WRITE(*,*) spacing(1.0_SGL) + # WRITE(*,*) spacing(1000._SGL) + # WRITE(*,*) spacing(10500._SGL) + # END PROGRAM + ref = {np.float64: [1.69406589450860068E-021, + 2.22044604925031308E-016, + 1.13686837721616030E-013, + 1.81898940354585648E-012], + np.float32: [9.09494702E-13, + 1.19209290E-07, + 6.10351563E-05, + 9.76562500E-04]} + + for dt, dec_ in zip([np.float32, np.float64], (10, 20)): + x = np.array([1e-5, 1, 1000, 10500], dtype=dt) + assert_array_almost_equal(np.spacing(x), ref[dt], decimal=dec_) + +def test_nextafter_vs_spacing(): + # XXX: spacing does not handle long double yet + for t in [np.float32, np.float64]: + for _f in [1, 1e-5, 1000]: + f = t(_f) + f1 = t(_f + 1) + assert_(np.nextafter(f, f1) - f == np.spacing(f)) + +def test_pos_nan(): + """Check np.nan is a positive nan.""" + assert_(np.signbit(np.nan) == 0) + +def test_reduceat(): + """Test bug in reduceat when structured arrays are not copied.""" + db = np.dtype([('name', 'S11'), ('time', np.int64), ('value', np.float32)]) + a = np.empty([100], dtype=db) + a['name'] = 'Simple' + a['time'] = 10 + a['value'] = 100 + indx = [0, 7, 15, 25] + + h2 = [] + val1 = indx[0] + for val2 in indx[1:]: + h2.append(np.add.reduce(a['value'][val1:val2])) + val1 = val2 + h2.append(np.add.reduce(a['value'][val1:])) + h2 = np.array(h2) + + # test buffered -- this should work + h1 = np.add.reduceat(a['value'], indx) + assert_array_almost_equal(h1, h2) + + # This is when the error occurs. + # test no buffer + np.setbufsize(32) + h1 = np.add.reduceat(a['value'], indx) + np.setbufsize(ncu.UFUNC_BUFSIZE_DEFAULT) + assert_array_almost_equal(h1, h2) + +def test_reduceat_empty(): + """Reduceat should work with empty arrays""" + indices = np.array([], 'i4') + x = np.array([], 'f8') + result = np.add.reduceat(x, indices) + assert_equal(result.dtype, x.dtype) + assert_equal(result.shape, (0,)) + # Another case with a slightly different zero-sized shape + x = np.ones((5, 2)) + result = np.add.reduceat(x, [], axis=0) + assert_equal(result.dtype, x.dtype) + assert_equal(result.shape, (0, 2)) + result = np.add.reduceat(x, [], axis=1) + assert_equal(result.dtype, x.dtype) + assert_equal(result.shape, (5, 0)) + +def test_complex_nan_comparisons(): + nans = [complex(np.nan, 0), complex(0, np.nan), complex(np.nan, np.nan)] + fins = [complex(1, 0), complex(-1, 0), complex(0, 1), complex(0, -1), + complex(1, 1), complex(-1, -1), complex(0, 0)] + + with np.errstate(invalid='ignore'): + for x in nans + fins: + x = np.array([x]) + for y in nans + fins: + y = np.array([y]) + + if np.isfinite(x) and np.isfinite(y): + continue + + assert_equal(x < y, False, err_msg="%r < %r" % (x, y)) + assert_equal(x > y, False, err_msg="%r > %r" % (x, y)) + assert_equal(x <= y, False, err_msg="%r <= %r" % (x, y)) + assert_equal(x >= y, False, err_msg="%r >= %r" % (x, y)) + assert_equal(x == y, False, err_msg="%r == %r" % (x, y)) + + +def test_rint_big_int(): + # np.rint bug for large integer values on Windows 32-bit and MKL + # https://github.com/numpy/numpy/issues/6685 + val = 4607998452777363968 + # This is exactly representable in floating point + assert_equal(val, int(float(val))) + # Rint should not change the value + assert_equal(val, np.rint(val)) + + +@pytest.mark.parametrize('ftype', [np.float32, np.float64]) +def test_memoverlap_accumulate(ftype): + # Reproduces bug https://github.com/numpy/numpy/issues/15597 + arr = np.array([0.61, 0.60, 0.77, 0.41, 0.19], dtype=ftype) + out_max = np.array([0.61, 0.61, 0.77, 0.77, 0.77], dtype=ftype) + out_min = np.array([0.61, 0.60, 0.60, 0.41, 0.19], dtype=ftype) + assert_equal(np.maximum.accumulate(arr), out_max) + assert_equal(np.minimum.accumulate(arr), out_min) + +@pytest.mark.parametrize("ufunc, dtype", [ + (ufunc, t[0]) + for ufunc in UFUNCS_BINARY_ACC + for t in ufunc.types + if t[-1] == '?' and t[0] not in 'DFGMmO' +]) +def test_memoverlap_accumulate_cmp(ufunc, dtype): + if ufunc.signature: + pytest.skip('For generic signatures only') + for size in (2, 8, 32, 64, 128, 256): + arr = np.array([0, 1, 1]*size, dtype=dtype) + acc = ufunc.accumulate(arr, dtype='?') + acc_u8 = acc.view(np.uint8) + exp = np.array(list(itertools.accumulate(arr, ufunc)), dtype=np.uint8) + assert_equal(exp, acc_u8) + +@pytest.mark.parametrize("ufunc, dtype", [ + (ufunc, t[0]) + for ufunc in UFUNCS_BINARY_ACC + for t in ufunc.types + if t[0] == t[1] and t[0] == t[-1] and t[0] not in 'DFGMmO?' +]) +def test_memoverlap_accumulate_symmetric(ufunc, dtype): + if ufunc.signature: + pytest.skip('For generic signatures only') + with np.errstate(all='ignore'): + for size in (2, 8, 32, 64, 128, 256): + arr = np.array([0, 1, 2]*size).astype(dtype) + acc = ufunc.accumulate(arr, dtype=dtype) + exp = np.array(list(itertools.accumulate(arr, ufunc)), dtype=dtype) + assert_equal(exp, acc) + +def test_signaling_nan_exceptions(): + with assert_no_warnings(): + a = np.ndarray(shape=(), dtype='float32', buffer=b'\x00\xe0\xbf\xff') + np.isnan(a) + +@pytest.mark.parametrize("arr", [ + np.arange(2), + np.matrix([0, 1]), + np.matrix([[0, 1], [2, 5]]), + ]) +def test_outer_subclass_preserve(arr): + # for gh-8661 + class foo(np.ndarray): + pass + actual = np.multiply.outer(arr.view(foo), arr.view(foo)) + assert actual.__class__.__name__ == 'foo' + +def test_outer_bad_subclass(): + class BadArr1(np.ndarray): + def __array_finalize__(self, obj): + # The outer call reshapes to 3 dims, try to do a bad reshape. + if self.ndim == 3: + self.shape = self.shape + (1,) + + class BadArr2(np.ndarray): + def __array_finalize__(self, obj): + if isinstance(obj, BadArr2): + # outer inserts 1-sized dims. In that case disturb them. + if self.shape[-1] == 1: + self.shape = self.shape[::-1] + + for cls in [BadArr1, BadArr2]: + arr = np.ones((2, 3)).view(cls) + with assert_raises(TypeError) as a: + # The first array gets reshaped (not the second one) + np.add.outer(arr, [1, 2]) + + # This actually works, since we only see the reshaping error: + arr = np.ones((2, 3)).view(cls) + assert type(np.add.outer([1, 2], arr)) is cls + +def test_outer_exceeds_maxdims(): + deep = np.ones((1,) * 33) + with assert_raises(ValueError): + np.add.outer(deep, deep) + +def test_bad_legacy_ufunc_silent_errors(): + # legacy ufuncs can't report errors and NumPy can't check if the GIL + # is released. So NumPy has to check after the GIL is released just to + # cover all bases. `np.power` uses/used to use this. + arr = np.arange(3).astype(np.float64) + + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + ncu_tests.always_error(arr, arr) + + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + # not contiguous means the fast-path cannot be taken + non_contig = arr.repeat(20).reshape(-1, 6)[:, ::2] + ncu_tests.always_error(non_contig, arr) + + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + ncu_tests.always_error.outer(arr, arr) + + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + ncu_tests.always_error.reduce(arr) + + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + ncu_tests.always_error.reduceat(arr, [0, 1]) + + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + ncu_tests.always_error.accumulate(arr) + + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + ncu_tests.always_error.at(arr, [0, 1, 2], arr) + + +@pytest.mark.parametrize('x1', [np.arange(3.0), [0.0, 1.0, 2.0]]) +def test_bad_legacy_gufunc_silent_errors(x1): + # Verify that an exception raised in a gufunc loop propagates correctly. + # The signature of always_error_gufunc is '(i),()->()'. + with pytest.raises(RuntimeError, match=r"How unexpected :\)!"): + ncu_tests.always_error_gufunc(x1, 0.0) + + +class TestAddDocstring: + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + @pytest.mark.skipif(IS_PYPY, reason="PyPy does not modify tp_doc") + def test_add_same_docstring(self): + # test for attributes (which are C-level defined) + ncu.add_docstring(np.ndarray.flat, np.ndarray.flat.__doc__) + + # And typical functions: + def func(): + """docstring""" + return + + ncu.add_docstring(func, func.__doc__) + + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + def test_different_docstring_fails(self): + # test for attributes (which are C-level defined) + with assert_raises(RuntimeError): + ncu.add_docstring(np.ndarray.flat, "different docstring") + + # And typical functions: + def func(): + """docstring""" + return + + with assert_raises(RuntimeError): + ncu.add_docstring(func, "different docstring") + + +class TestAdd_newdoc_ufunc: + @pytest.mark.filterwarnings("ignore:_add_newdoc_ufunc:DeprecationWarning") + def test_ufunc_arg(self): + assert_raises(TypeError, ncu._add_newdoc_ufunc, 2, "blah") + assert_raises(ValueError, ncu._add_newdoc_ufunc, np.add, "blah") + + @pytest.mark.filterwarnings("ignore:_add_newdoc_ufunc:DeprecationWarning") + def test_string_arg(self): + assert_raises(TypeError, ncu._add_newdoc_ufunc, np.add, 3) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath_accuracy.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath_accuracy.py new file mode 100644 index 0000000000000000000000000000000000000000..ccc55a0a2e1633d5a5087933d82b721eb1bf78b3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath_accuracy.py @@ -0,0 +1,121 @@ +import numpy as np +import os +from os import path +import sys +import pytest +from ctypes import c_longlong, c_double, c_float, c_int, cast, pointer, POINTER +from numpy.testing import assert_array_max_ulp +from numpy.testing._private.utils import _glibc_older_than +from numpy._core._multiarray_umath import __cpu_features__ + +UNARY_UFUNCS = [obj for obj in np._core.umath.__dict__.values() if + isinstance(obj, np.ufunc)] +UNARY_OBJECT_UFUNCS = [uf for uf in UNARY_UFUNCS if "O->O" in uf.types] + +# Remove functions that do not support `floats` +UNARY_OBJECT_UFUNCS.remove(np.invert) +UNARY_OBJECT_UFUNCS.remove(np.bitwise_count) + +IS_AVX = __cpu_features__.get('AVX512F', False) or \ + (__cpu_features__.get('FMA3', False) and __cpu_features__.get('AVX2', False)) + +IS_AVX512FP16 = __cpu_features__.get('AVX512FP16', False) + +# only run on linux with AVX, also avoid old glibc (numpy/numpy#20448). +runtest = (sys.platform.startswith('linux') + and IS_AVX and not _glibc_older_than("2.17")) +platform_skip = pytest.mark.skipif(not runtest, + reason="avoid testing inconsistent platform " + "library implementations") + +# convert string to hex function taken from: +# https://stackoverflow.com/questions/1592158/convert-hex-to-float # +def convert(s, datatype="np.float32"): + i = int(s, 16) # convert from hex to a Python int + if (datatype == "np.float64"): + cp = pointer(c_longlong(i)) # make this into a c long long integer + fp = cast(cp, POINTER(c_double)) # cast the int pointer to a double pointer + else: + cp = pointer(c_int(i)) # make this into a c integer + fp = cast(cp, POINTER(c_float)) # cast the int pointer to a float pointer + + return fp.contents.value # dereference the pointer, get the float + +str_to_float = np.vectorize(convert) + +class TestAccuracy: + @platform_skip + def test_validate_transcendentals(self): + with np.errstate(all='ignore'): + data_dir = path.join(path.dirname(__file__), 'data') + files = os.listdir(data_dir) + files = list(filter(lambda f: f.endswith('.csv'), files)) + for filename in files: + filepath = path.join(data_dir, filename) + with open(filepath) as fid: + file_without_comments = ( + r for r in fid if r[0] not in ('$', '#') + ) + data = np.genfromtxt(file_without_comments, + dtype=('|S39','|S39','|S39',int), + names=('type','input','output','ulperr'), + delimiter=',', + skip_header=1) + npname = path.splitext(filename)[0].split('-')[3] + npfunc = getattr(np, npname) + for datatype in np.unique(data['type']): + data_subset = data[data['type'] == datatype] + inval = np.array(str_to_float(data_subset['input'].astype(str), data_subset['type'].astype(str)), dtype=eval(datatype)) + outval = np.array(str_to_float(data_subset['output'].astype(str), data_subset['type'].astype(str)), dtype=eval(datatype)) + perm = np.random.permutation(len(inval)) + inval = inval[perm] + outval = outval[perm] + maxulperr = data_subset['ulperr'].max() + assert_array_max_ulp(npfunc(inval), outval, maxulperr) + + @pytest.mark.skipif(IS_AVX512FP16, + reason = "SVML FP16 have slightly higher ULP errors") + @pytest.mark.parametrize("ufunc", UNARY_OBJECT_UFUNCS) + def test_validate_fp16_transcendentals(self, ufunc): + with np.errstate(all='ignore'): + arr = np.arange(65536, dtype=np.int16) + datafp16 = np.frombuffer(arr.tobytes(), dtype=np.float16) + datafp32 = datafp16.astype(np.float32) + assert_array_max_ulp(ufunc(datafp16), ufunc(datafp32), + maxulp=1, dtype=np.float16) + + @pytest.mark.skipif(not IS_AVX512FP16, + reason="lower ULP only apply for SVML FP16") + def test_validate_svml_fp16(self): + max_ulp_err = { + "arccos": 2.54, + "arccosh": 2.09, + "arcsin": 3.06, + "arcsinh": 1.51, + "arctan": 2.61, + "arctanh": 1.88, + "cbrt": 1.57, + "cos": 1.43, + "cosh": 1.33, + "exp2": 1.33, + "exp": 1.27, + "expm1": 0.53, + "log": 1.80, + "log10": 1.27, + "log1p": 1.88, + "log2": 1.80, + "sin": 1.88, + "sinh": 2.05, + "tan": 2.26, + "tanh": 3.00, + } + + with np.errstate(all='ignore'): + arr = np.arange(65536, dtype=np.int16) + datafp16 = np.frombuffer(arr.tobytes(), dtype=np.float16) + datafp32 = datafp16.astype(np.float32) + for func in max_ulp_err: + ufunc = getattr(np, func) + ulp = np.ceil(max_ulp_err[func]) + assert_array_max_ulp(ufunc(datafp16), ufunc(datafp32), + maxulp=ulp, dtype=np.float16) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath_complex.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath_complex.py new file mode 100644 index 0000000000000000000000000000000000000000..cc54c16da2e3e70595188c285c12257131ea9287 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_core/tests/test_umath_complex.py @@ -0,0 +1,622 @@ +import sys +import platform +import pytest + +import numpy as np +# import the c-extension module directly since _arg is not exported via umath +import numpy._core._multiarray_umath as ncu +from numpy.testing import ( + assert_raises, assert_equal, assert_array_equal, assert_almost_equal, assert_array_max_ulp + ) + +# TODO: branch cuts (use Pauli code) +# TODO: conj 'symmetry' +# TODO: FPU exceptions + +# At least on Windows the results of many complex functions are not conforming +# to the C99 standard. See ticket 1574. +# Ditto for Solaris (ticket 1642) and OS X on PowerPC. +#FIXME: this will probably change when we require full C99 compatibility +with np.errstate(all='ignore'): + functions_seem_flaky = ((np.exp(complex(np.inf, 0)).imag != 0) + or (np.log(complex(ncu.NZERO, 0)).imag != np.pi)) +# TODO: replace with a check on whether platform-provided C99 funcs are used +xfail_complex_tests = (not sys.platform.startswith('linux') or functions_seem_flaky) + +# TODO This can be xfail when the generator functions are got rid of. +platform_skip = pytest.mark.skipif(xfail_complex_tests, + reason="Inadequate C99 complex support") + + + +class TestCexp: + def test_simple(self): + check = check_complex_value + f = np.exp + + check(f, 1, 0, np.exp(1), 0, False) + check(f, 0, 1, np.cos(1), np.sin(1), False) + + ref = np.exp(1) * complex(np.cos(1), np.sin(1)) + check(f, 1, 1, ref.real, ref.imag, False) + + @platform_skip + def test_special_values(self): + # C99: Section G 6.3.1 + + check = check_complex_value + f = np.exp + + # cexp(+-0 + 0i) is 1 + 0i + check(f, ncu.PZERO, 0, 1, 0, False) + check(f, ncu.NZERO, 0, 1, 0, False) + + # cexp(x + infi) is nan + nani for finite x and raises 'invalid' FPU + # exception + check(f, 1, np.inf, np.nan, np.nan) + check(f, -1, np.inf, np.nan, np.nan) + check(f, 0, np.inf, np.nan, np.nan) + + # cexp(inf + 0i) is inf + 0i + check(f, np.inf, 0, np.inf, 0) + + # cexp(-inf + yi) is +0 * (cos(y) + i sin(y)) for finite y + check(f, -np.inf, 1, ncu.PZERO, ncu.PZERO) + check(f, -np.inf, 0.75 * np.pi, ncu.NZERO, ncu.PZERO) + + # cexp(inf + yi) is +inf * (cos(y) + i sin(y)) for finite y + check(f, np.inf, 1, np.inf, np.inf) + check(f, np.inf, 0.75 * np.pi, -np.inf, np.inf) + + # cexp(-inf + inf i) is +-0 +- 0i (signs unspecified) + def _check_ninf_inf(dummy): + msgform = "cexp(-inf, inf) is (%f, %f), expected (+-0, +-0)" + with np.errstate(invalid='ignore'): + z = f(np.array(complex(-np.inf, np.inf))) + if z.real != 0 or z.imag != 0: + raise AssertionError(msgform % (z.real, z.imag)) + + _check_ninf_inf(None) + + # cexp(inf + inf i) is +-inf + NaNi and raised invalid FPU ex. + def _check_inf_inf(dummy): + msgform = "cexp(inf, inf) is (%f, %f), expected (+-inf, nan)" + with np.errstate(invalid='ignore'): + z = f(np.array(complex(np.inf, np.inf))) + if not np.isinf(z.real) or not np.isnan(z.imag): + raise AssertionError(msgform % (z.real, z.imag)) + + _check_inf_inf(None) + + # cexp(-inf + nan i) is +-0 +- 0i + def _check_ninf_nan(dummy): + msgform = "cexp(-inf, nan) is (%f, %f), expected (+-0, +-0)" + with np.errstate(invalid='ignore'): + z = f(np.array(complex(-np.inf, np.nan))) + if z.real != 0 or z.imag != 0: + raise AssertionError(msgform % (z.real, z.imag)) + + _check_ninf_nan(None) + + # cexp(inf + nan i) is +-inf + nan + def _check_inf_nan(dummy): + msgform = "cexp(-inf, nan) is (%f, %f), expected (+-inf, nan)" + with np.errstate(invalid='ignore'): + z = f(np.array(complex(np.inf, np.nan))) + if not np.isinf(z.real) or not np.isnan(z.imag): + raise AssertionError(msgform % (z.real, z.imag)) + + _check_inf_nan(None) + + # cexp(nan + yi) is nan + nani for y != 0 (optional: raises invalid FPU + # ex) + check(f, np.nan, 1, np.nan, np.nan) + check(f, np.nan, -1, np.nan, np.nan) + + check(f, np.nan, np.inf, np.nan, np.nan) + check(f, np.nan, -np.inf, np.nan, np.nan) + + # cexp(nan + nani) is nan + nani + check(f, np.nan, np.nan, np.nan, np.nan) + + # TODO This can be xfail when the generator functions are got rid of. + @pytest.mark.skip(reason="cexp(nan + 0I) is wrong on most platforms") + def test_special_values2(self): + # XXX: most implementations get it wrong here (including glibc <= 2.10) + # cexp(nan + 0i) is nan + 0i + check = check_complex_value + f = np.exp + + check(f, np.nan, 0, np.nan, 0) + +class TestClog: + def test_simple(self): + x = np.array([1+0j, 1+2j]) + y_r = np.log(np.abs(x)) + 1j * np.angle(x) + y = np.log(x) + assert_almost_equal(y, y_r) + + @platform_skip + @pytest.mark.skipif(platform.machine() == "armv5tel", reason="See gh-413.") + def test_special_values(self): + xl = [] + yl = [] + + # From C99 std (Sec 6.3.2) + # XXX: check exceptions raised + # --- raise for invalid fails. + + # clog(-0 + i0) returns -inf + i pi and raises the 'divide-by-zero' + # floating-point exception. + with np.errstate(divide='raise'): + x = np.array([ncu.NZERO], dtype=complex) + y = complex(-np.inf, np.pi) + assert_raises(FloatingPointError, np.log, x) + with np.errstate(divide='ignore'): + assert_almost_equal(np.log(x), y) + + xl.append(x) + yl.append(y) + + # clog(+0 + i0) returns -inf + i0 and raises the 'divide-by-zero' + # floating-point exception. + with np.errstate(divide='raise'): + x = np.array([0], dtype=complex) + y = complex(-np.inf, 0) + assert_raises(FloatingPointError, np.log, x) + with np.errstate(divide='ignore'): + assert_almost_equal(np.log(x), y) + + xl.append(x) + yl.append(y) + + # clog(x + i inf returns +inf + i pi /2, for finite x. + x = np.array([complex(1, np.inf)], dtype=complex) + y = complex(np.inf, 0.5 * np.pi) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + x = np.array([complex(-1, np.inf)], dtype=complex) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(x + iNaN) returns NaN + iNaN and optionally raises the + # 'invalid' floating- point exception, for finite x. + with np.errstate(invalid='raise'): + x = np.array([complex(1., np.nan)], dtype=complex) + y = complex(np.nan, np.nan) + #assert_raises(FloatingPointError, np.log, x) + with np.errstate(invalid='ignore'): + assert_almost_equal(np.log(x), y) + + xl.append(x) + yl.append(y) + + with np.errstate(invalid='raise'): + x = np.array([np.inf + 1j * np.nan], dtype=complex) + #assert_raises(FloatingPointError, np.log, x) + with np.errstate(invalid='ignore'): + assert_almost_equal(np.log(x), y) + + xl.append(x) + yl.append(y) + + # clog(- inf + iy) returns +inf + ipi , for finite positive-signed y. + x = np.array([-np.inf + 1j], dtype=complex) + y = complex(np.inf, np.pi) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(+ inf + iy) returns +inf + i0, for finite positive-signed y. + x = np.array([np.inf + 1j], dtype=complex) + y = complex(np.inf, 0) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(- inf + i inf) returns +inf + i3pi /4. + x = np.array([complex(-np.inf, np.inf)], dtype=complex) + y = complex(np.inf, 0.75 * np.pi) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(+ inf + i inf) returns +inf + ipi /4. + x = np.array([complex(np.inf, np.inf)], dtype=complex) + y = complex(np.inf, 0.25 * np.pi) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(+/- inf + iNaN) returns +inf + iNaN. + x = np.array([complex(np.inf, np.nan)], dtype=complex) + y = complex(np.inf, np.nan) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + x = np.array([complex(-np.inf, np.nan)], dtype=complex) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(NaN + iy) returns NaN + iNaN and optionally raises the + # 'invalid' floating-point exception, for finite y. + x = np.array([complex(np.nan, 1)], dtype=complex) + y = complex(np.nan, np.nan) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(NaN + i inf) returns +inf + iNaN. + x = np.array([complex(np.nan, np.inf)], dtype=complex) + y = complex(np.inf, np.nan) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(NaN + iNaN) returns NaN + iNaN. + x = np.array([complex(np.nan, np.nan)], dtype=complex) + y = complex(np.nan, np.nan) + assert_almost_equal(np.log(x), y) + xl.append(x) + yl.append(y) + + # clog(conj(z)) = conj(clog(z)). + xa = np.array(xl, dtype=complex) + ya = np.array(yl, dtype=complex) + with np.errstate(divide='ignore'): + for i in range(len(xa)): + assert_almost_equal(np.log(xa[i].conj()), ya[i].conj()) + + +class TestCsqrt: + + def test_simple(self): + # sqrt(1) + check_complex_value(np.sqrt, 1, 0, 1, 0) + + # sqrt(1i) + rres = 0.5*np.sqrt(2) + ires = rres + check_complex_value(np.sqrt, 0, 1, rres, ires, False) + + # sqrt(-1) + check_complex_value(np.sqrt, -1, 0, 0, 1) + + def test_simple_conjugate(self): + ref = np.conj(np.sqrt(complex(1, 1))) + + def f(z): + return np.sqrt(np.conj(z)) + + check_complex_value(f, 1, 1, ref.real, ref.imag, False) + + #def test_branch_cut(self): + # _check_branch_cut(f, -1, 0, 1, -1) + + @platform_skip + def test_special_values(self): + # C99: Sec G 6.4.2 + + check = check_complex_value + f = np.sqrt + + # csqrt(+-0 + 0i) is 0 + 0i + check(f, ncu.PZERO, 0, 0, 0) + check(f, ncu.NZERO, 0, 0, 0) + + # csqrt(x + infi) is inf + infi for any x (including NaN) + check(f, 1, np.inf, np.inf, np.inf) + check(f, -1, np.inf, np.inf, np.inf) + + check(f, ncu.PZERO, np.inf, np.inf, np.inf) + check(f, ncu.NZERO, np.inf, np.inf, np.inf) + check(f, np.inf, np.inf, np.inf, np.inf) + check(f, -np.inf, np.inf, np.inf, np.inf) + check(f, -np.nan, np.inf, np.inf, np.inf) + + # csqrt(x + nani) is nan + nani for any finite x + check(f, 1, np.nan, np.nan, np.nan) + check(f, -1, np.nan, np.nan, np.nan) + check(f, 0, np.nan, np.nan, np.nan) + + # csqrt(-inf + yi) is +0 + infi for any finite y > 0 + check(f, -np.inf, 1, ncu.PZERO, np.inf) + + # csqrt(inf + yi) is +inf + 0i for any finite y > 0 + check(f, np.inf, 1, np.inf, ncu.PZERO) + + # csqrt(-inf + nani) is nan +- infi (both +i infi are valid) + def _check_ninf_nan(dummy): + msgform = "csqrt(-inf, nan) is (%f, %f), expected (nan, +-inf)" + z = np.sqrt(np.array(complex(-np.inf, np.nan))) + #Fixme: ugly workaround for isinf bug. + with np.errstate(invalid='ignore'): + if not (np.isnan(z.real) and np.isinf(z.imag)): + raise AssertionError(msgform % (z.real, z.imag)) + + _check_ninf_nan(None) + + # csqrt(+inf + nani) is inf + nani + check(f, np.inf, np.nan, np.inf, np.nan) + + # csqrt(nan + yi) is nan + nani for any finite y (infinite handled in x + # + nani) + check(f, np.nan, 0, np.nan, np.nan) + check(f, np.nan, 1, np.nan, np.nan) + check(f, np.nan, np.nan, np.nan, np.nan) + + # XXX: check for conj(csqrt(z)) == csqrt(conj(z)) (need to fix branch + # cuts first) + +class TestCpow: + def setup_method(self): + self.olderr = np.seterr(invalid='ignore') + + def teardown_method(self): + np.seterr(**self.olderr) + + def test_simple(self): + x = np.array([1+1j, 0+2j, 1+2j, np.inf, np.nan]) + y_r = x ** 2 + y = np.power(x, 2) + assert_almost_equal(y, y_r) + + def test_scalar(self): + x = np.array([1, 1j, 2, 2.5+.37j, np.inf, np.nan]) + y = np.array([1, 1j, -0.5+1.5j, -0.5+1.5j, 2, 3]) + lx = list(range(len(x))) + + # Hardcode the expected `builtins.complex` values, + # as complex exponentiation is broken as of bpo-44698 + p_r = [ + 1+0j, + 0.20787957635076193+0j, + 0.35812203996480685+0.6097119028618724j, + 0.12659112128185032+0.48847676699581527j, + complex(np.inf, np.nan), + complex(np.nan, np.nan), + ] + + n_r = [x[i] ** y[i] for i in lx] + for i in lx: + assert_almost_equal(n_r[i], p_r[i], err_msg='Loop %d\n' % i) + + def test_array(self): + x = np.array([1, 1j, 2, 2.5+.37j, np.inf, np.nan]) + y = np.array([1, 1j, -0.5+1.5j, -0.5+1.5j, 2, 3]) + lx = list(range(len(x))) + + # Hardcode the expected `builtins.complex` values, + # as complex exponentiation is broken as of bpo-44698 + p_r = [ + 1+0j, + 0.20787957635076193+0j, + 0.35812203996480685+0.6097119028618724j, + 0.12659112128185032+0.48847676699581527j, + complex(np.inf, np.nan), + complex(np.nan, np.nan), + ] + + n_r = x ** y + for i in lx: + assert_almost_equal(n_r[i], p_r[i], err_msg='Loop %d\n' % i) + +class TestCabs: + def setup_method(self): + self.olderr = np.seterr(invalid='ignore') + + def teardown_method(self): + np.seterr(**self.olderr) + + def test_simple(self): + x = np.array([1+1j, 0+2j, 1+2j, np.inf, np.nan]) + y_r = np.array([np.sqrt(2.), 2, np.sqrt(5), np.inf, np.nan]) + y = np.abs(x) + assert_almost_equal(y, y_r) + + def test_fabs(self): + # Test that np.abs(x +- 0j) == np.abs(x) (as mandated by C99 for cabs) + x = np.array([1+0j], dtype=complex) + assert_array_equal(np.abs(x), np.real(x)) + + x = np.array([complex(1, ncu.NZERO)], dtype=complex) + assert_array_equal(np.abs(x), np.real(x)) + + x = np.array([complex(np.inf, ncu.NZERO)], dtype=complex) + assert_array_equal(np.abs(x), np.real(x)) + + x = np.array([complex(np.nan, ncu.NZERO)], dtype=complex) + assert_array_equal(np.abs(x), np.real(x)) + + def test_cabs_inf_nan(self): + x, y = [], [] + + # cabs(+-nan + nani) returns nan + x.append(np.nan) + y.append(np.nan) + check_real_value(np.abs, np.nan, np.nan, np.nan) + + x.append(np.nan) + y.append(-np.nan) + check_real_value(np.abs, -np.nan, np.nan, np.nan) + + # According to C99 standard, if exactly one of the real/part is inf and + # the other nan, then cabs should return inf + x.append(np.inf) + y.append(np.nan) + check_real_value(np.abs, np.inf, np.nan, np.inf) + + x.append(-np.inf) + y.append(np.nan) + check_real_value(np.abs, -np.inf, np.nan, np.inf) + + # cabs(conj(z)) == conj(cabs(z)) (= cabs(z)) + def f(a): + return np.abs(np.conj(a)) + + def g(a, b): + return np.abs(complex(a, b)) + + xa = np.array(x, dtype=complex) + assert len(xa) == len(x) == len(y) + for xi, yi in zip(x, y): + ref = g(xi, yi) + check_real_value(f, xi, yi, ref) + +class TestCarg: + def test_simple(self): + check_real_value(ncu._arg, 1, 0, 0, False) + check_real_value(ncu._arg, 0, 1, 0.5*np.pi, False) + + check_real_value(ncu._arg, 1, 1, 0.25*np.pi, False) + check_real_value(ncu._arg, ncu.PZERO, ncu.PZERO, ncu.PZERO) + + # TODO This can be xfail when the generator functions are got rid of. + @pytest.mark.skip( + reason="Complex arithmetic with signed zero fails on most platforms") + def test_zero(self): + # carg(-0 +- 0i) returns +- pi + check_real_value(ncu._arg, ncu.NZERO, ncu.PZERO, np.pi, False) + check_real_value(ncu._arg, ncu.NZERO, ncu.NZERO, -np.pi, False) + + # carg(+0 +- 0i) returns +- 0 + check_real_value(ncu._arg, ncu.PZERO, ncu.PZERO, ncu.PZERO) + check_real_value(ncu._arg, ncu.PZERO, ncu.NZERO, ncu.NZERO) + + # carg(x +- 0i) returns +- 0 for x > 0 + check_real_value(ncu._arg, 1, ncu.PZERO, ncu.PZERO, False) + check_real_value(ncu._arg, 1, ncu.NZERO, ncu.NZERO, False) + + # carg(x +- 0i) returns +- pi for x < 0 + check_real_value(ncu._arg, -1, ncu.PZERO, np.pi, False) + check_real_value(ncu._arg, -1, ncu.NZERO, -np.pi, False) + + # carg(+- 0 + yi) returns pi/2 for y > 0 + check_real_value(ncu._arg, ncu.PZERO, 1, 0.5 * np.pi, False) + check_real_value(ncu._arg, ncu.NZERO, 1, 0.5 * np.pi, False) + + # carg(+- 0 + yi) returns -pi/2 for y < 0 + check_real_value(ncu._arg, ncu.PZERO, -1, 0.5 * np.pi, False) + check_real_value(ncu._arg, ncu.NZERO, -1, -0.5 * np.pi, False) + + #def test_branch_cuts(self): + # _check_branch_cut(ncu._arg, -1, 1j, -1, 1) + + def test_special_values(self): + # carg(-np.inf +- yi) returns +-pi for finite y > 0 + check_real_value(ncu._arg, -np.inf, 1, np.pi, False) + check_real_value(ncu._arg, -np.inf, -1, -np.pi, False) + + # carg(np.inf +- yi) returns +-0 for finite y > 0 + check_real_value(ncu._arg, np.inf, 1, ncu.PZERO, False) + check_real_value(ncu._arg, np.inf, -1, ncu.NZERO, False) + + # carg(x +- np.infi) returns +-pi/2 for finite x + check_real_value(ncu._arg, 1, np.inf, 0.5 * np.pi, False) + check_real_value(ncu._arg, 1, -np.inf, -0.5 * np.pi, False) + + # carg(-np.inf +- np.infi) returns +-3pi/4 + check_real_value(ncu._arg, -np.inf, np.inf, 0.75 * np.pi, False) + check_real_value(ncu._arg, -np.inf, -np.inf, -0.75 * np.pi, False) + + # carg(np.inf +- np.infi) returns +-pi/4 + check_real_value(ncu._arg, np.inf, np.inf, 0.25 * np.pi, False) + check_real_value(ncu._arg, np.inf, -np.inf, -0.25 * np.pi, False) + + # carg(x + yi) returns np.nan if x or y is nan + check_real_value(ncu._arg, np.nan, 0, np.nan, False) + check_real_value(ncu._arg, 0, np.nan, np.nan, False) + + check_real_value(ncu._arg, np.nan, np.inf, np.nan, False) + check_real_value(ncu._arg, np.inf, np.nan, np.nan, False) + + +def check_real_value(f, x1, y1, x, exact=True): + z1 = np.array([complex(x1, y1)]) + if exact: + assert_equal(f(z1), x) + else: + assert_almost_equal(f(z1), x) + + +def check_complex_value(f, x1, y1, x2, y2, exact=True): + z1 = np.array([complex(x1, y1)]) + z2 = complex(x2, y2) + with np.errstate(invalid='ignore'): + if exact: + assert_equal(f(z1), z2) + else: + assert_almost_equal(f(z1), z2) + +class TestSpecialComplexAVX: + @pytest.mark.parametrize("stride", [-4,-2,-1,1,2,4]) + @pytest.mark.parametrize("astype", [np.complex64, np.complex128]) + def test_array(self, stride, astype): + arr = np.array([complex(np.nan , np.nan), + complex(np.nan , np.inf), + complex(np.inf , np.nan), + complex(np.inf , np.inf), + complex(0. , np.inf), + complex(np.inf , 0.), + complex(0. , 0.), + complex(0. , np.nan), + complex(np.nan , 0.)], dtype=astype) + abs_true = np.array([np.nan, np.inf, np.inf, np.inf, np.inf, np.inf, 0., np.nan, np.nan], dtype=arr.real.dtype) + sq_true = np.array([complex(np.nan, np.nan), + complex(np.nan, np.nan), + complex(np.nan, np.nan), + complex(np.nan, np.inf), + complex(-np.inf, np.nan), + complex(np.inf, np.nan), + complex(0., 0.), + complex(np.nan, np.nan), + complex(np.nan, np.nan)], dtype=astype) + with np.errstate(invalid='ignore'): + assert_equal(np.abs(arr[::stride]), abs_true[::stride]) + assert_equal(np.square(arr[::stride]), sq_true[::stride]) + +class TestComplexAbsoluteAVX: + @pytest.mark.parametrize("arraysize", [1,2,3,4,5,6,7,8,9,10,11,13,15,17,18,19]) + @pytest.mark.parametrize("stride", [-4,-3,-2,-1,1,2,3,4]) + @pytest.mark.parametrize("astype", [np.complex64, np.complex128]) + # test to ensure masking and strides work as intended in the AVX implementation + def test_array(self, arraysize, stride, astype): + arr = np.ones(arraysize, dtype=astype) + abs_true = np.ones(arraysize, dtype=arr.real.dtype) + assert_equal(np.abs(arr[::stride]), abs_true[::stride]) + +# Testcase taken as is from https://github.com/numpy/numpy/issues/16660 +class TestComplexAbsoluteMixedDTypes: + @pytest.mark.parametrize("stride", [-4,-3,-2,-1,1,2,3,4]) + @pytest.mark.parametrize("astype", [np.complex64, np.complex128]) + @pytest.mark.parametrize("func", ['abs', 'square', 'conjugate']) + + def test_array(self, stride, astype, func): + dtype = [('template_id', 'U') + uni_arr2 = str_arr.astype(').itemsize` instead.", + "byte_bounds": "Now it's available under `np.lib.array_utils.byte_bounds`", + "compare_chararrays": + "It's still available as `np.char.compare_chararrays`.", + "format_parser": "It's still available as `np.rec.format_parser`.", + "alltrue": "Use `np.all` instead.", + "sometrue": "Use `np.any` instead.", +} diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_expired_attrs_2_0.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_expired_attrs_2_0.pyi new file mode 100644 index 0000000000000000000000000000000000000000..05c630c9b76703490541ff97a7f4b92f278045eb --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_expired_attrs_2_0.pyi @@ -0,0 +1,63 @@ +from typing import Final, TypedDict, final, type_check_only + +@final +@type_check_only +class _ExpiredAttributesType(TypedDict): + geterrobj: str + seterrobj: str + cast: str + source: str + lookfor: str + who: str + fastCopyAndTranspose: str + set_numeric_ops: str + NINF: str + PINF: str + NZERO: str + PZERO: str + add_newdoc: str + add_docstring: str + add_newdoc_ufunc: str + compat: str + safe_eval: str + float_: str + complex_: str + longfloat: str + singlecomplex: str + cfloat: str + longcomplex: str + clongfloat: str + string_: str + unicode_: str + Inf: str + Infinity: str + NaN: str + infty: str + issctype: str + maximum_sctype: str + obj2sctype: str + sctype2char: str + sctypes: str + issubsctype: str + set_string_function: str + asfarray: str + issubclass_: str + tracemalloc_domain: str + mat: str + recfromcsv: str + recfromtxt: str + deprecate: str + deprecate_with_doc: str + disp: str + find_common_type: str + round_: str + get_array_wrap: str + DataSource: str + nbytes: str + byte_bounds: str + compare_chararrays: str + format_parser: str + alltrue: str + sometrue: str + +__expired_attributes__: Final[_ExpiredAttributesType] = ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_globals.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_globals.py new file mode 100644 index 0000000000000000000000000000000000000000..a1474177fef88fc8c68524f7fc04965ee7f89b05 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_globals.py @@ -0,0 +1,95 @@ +""" +Module defining global singleton classes. + +This module raises a RuntimeError if an attempt to reload it is made. In that +way the identities of the classes defined here are fixed and will remain so +even if numpy itself is reloaded. In particular, a function like the following +will still work correctly after numpy is reloaded:: + + def foo(arg=np._NoValue): + if arg is np._NoValue: + ... + +That was not the case when the singleton classes were defined in the numpy +``__init__.py`` file. See gh-7844 for a discussion of the reload problem that +motivated this module. + +""" +import enum + +from ._utils import set_module as _set_module + +__all__ = ['_NoValue', '_CopyMode'] + + +# Disallow reloading this module so as to preserve the identities of the +# classes defined here. +if '_is_loaded' in globals(): + raise RuntimeError('Reloading numpy._globals is not allowed') +_is_loaded = True + + +class _NoValueType: + """Special keyword value. + + The instance of this class may be used as the default value assigned to a + keyword if no other obvious default (e.g., `None`) is suitable, + + Common reasons for using this keyword are: + + - A new keyword is added to a function, and that function forwards its + inputs to another function or method which can be defined outside of + NumPy. For example, ``np.std(x)`` calls ``x.std``, so when a ``keepdims`` + keyword was added that could only be forwarded if the user explicitly + specified ``keepdims``; downstream array libraries may not have added + the same keyword, so adding ``x.std(..., keepdims=keepdims)`` + unconditionally could have broken previously working code. + - A keyword is being deprecated, and a deprecation warning must only be + emitted when the keyword is used. + + """ + __instance = None + def __new__(cls): + # ensure that only one instance exists + if not cls.__instance: + cls.__instance = super().__new__(cls) + return cls.__instance + + def __repr__(self): + return "" + + +_NoValue = _NoValueType() + + +@_set_module("numpy") +class _CopyMode(enum.Enum): + """ + An enumeration for the copy modes supported + by numpy.copy() and numpy.array(). The following three modes are supported, + + - ALWAYS: This means that a deep copy of the input + array will always be taken. + - IF_NEEDED: This means that a deep copy of the input + array will be taken only if necessary. + - NEVER: This means that the deep copy will never be taken. + If a copy cannot be avoided then a `ValueError` will be + raised. + + Note that the buffer-protocol could in theory do copies. NumPy currently + assumes an object exporting the buffer protocol will never do this. + """ + + ALWAYS = True + NEVER = False + IF_NEEDED = 2 + + def __bool__(self): + # For backwards compatibility + if self == _CopyMode.ALWAYS: + return True + + if self == _CopyMode.NEVER: + return False + + raise ValueError(f"{self} is neither True nor False.") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_globals.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_globals.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b2231a9636b0863be24555734d66df6da3464ac4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_globals.pyi @@ -0,0 +1,17 @@ +__all__ = ["_CopyMode", "_NoValue"] + +import enum +from typing import Final, final + +@final +class _CopyMode(enum.Enum): + ALWAYS = True + NEVER = False + IF_NEEDED = 2 + + def __bool__(self, /) -> bool: ... + +@final +class _NoValueType: ... + +_NoValue: Final[_NoValueType] = ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.py new file mode 100644 index 0000000000000000000000000000000000000000..84f3626b43d572c58d48374a5e6b18e19b9075e5 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.py @@ -0,0 +1,36 @@ +"""This hook should collect all binary files and any hidden modules that numpy +needs. + +Our (some-what inadequate) docs for writing PyInstaller hooks are kept here: +https://pyinstaller.readthedocs.io/en/stable/hooks.html + +""" +from PyInstaller.compat import is_conda, is_pure_conda +from PyInstaller.utils.hooks import collect_dynamic_libs, is_module_satisfies + +# Collect all DLLs inside numpy's installation folder, dump them into built +# app's root. +binaries = collect_dynamic_libs("numpy", ".") + +# If using Conda without any non-conda virtual environment manager: +if is_pure_conda: + # Assume running the NumPy from Conda-forge and collect it's DLLs from the + # communal Conda bin directory. DLLs from NumPy's dependencies must also be + # collected to capture MKL, OpenBlas, OpenMP, etc. + from PyInstaller.utils.hooks import conda_support + datas = conda_support.collect_dynamic_libs("numpy", dependencies=True) + +# Submodules PyInstaller cannot detect. `_dtype_ctypes` is only imported +# from C and `_multiarray_tests` is used in tests (which are not packed). +hiddenimports = ['numpy._core._dtype_ctypes', 'numpy._core._multiarray_tests'] + +# Remove testing and building code and packages that are referenced throughout +# NumPy but are not really dependencies. +excludedimports = [ + "scipy", + "pytest", + "f2py", + "setuptools", + "distutils", + "numpy.distutils", +] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2642996dad7e5f68b63d66ac59858ec0bc630fa9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.pyi @@ -0,0 +1,13 @@ +from typing import Final + +# from `PyInstaller.compat` +is_conda: Final[bool] +is_pure_conda: Final[bool] + +# from `PyInstaller.utils.hooks` +def is_module_satisfies(requirements: str, version: None = None, version_attr: None = None) -> bool: ... + +binaries: Final[list[tuple[str, str]]] + +hiddenimports: Final[list[str]] +excludedimports: Final[list[str]] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..f7c033bcf5037339a2f5387880d7035eec5746ce --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/__init__.py @@ -0,0 +1,16 @@ +from numpy.testing import IS_WASM, IS_EDITABLE +import pytest + + +if IS_WASM: + pytest.skip( + "WASM/Pyodide does not use or support Fortran", + allow_module_level=True + ) + + +if IS_EDITABLE: + pytest.skip( + "Editable install doesn't support tests with a compile step", + allow_module_level=True + ) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/pyinstaller-smoke.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/pyinstaller-smoke.py new file mode 100644 index 0000000000000000000000000000000000000000..eb28070e38baf80223fe0178ac0a7c0f5732a2c8 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/pyinstaller-smoke.py @@ -0,0 +1,32 @@ +"""A crude *bit of everything* smoke test to verify PyInstaller compatibility. + +PyInstaller typically goes wrong by forgetting to package modules, extension +modules or shared libraries. This script should aim to touch as many of those +as possible in an attempt to trip a ModuleNotFoundError or a DLL load failure +due to an uncollected resource. Missing resources are unlikely to lead to +arithmetic errors so there's generally no need to verify any calculation's +output - merely that it made it to the end OK. This script should not +explicitly import any of numpy's submodules as that gives PyInstaller undue +hints that those submodules exist and should be collected (accessing implicitly +loaded submodules is OK). + +""" +import numpy as np + +a = np.arange(1., 10.).reshape((3, 3)) % 5 +np.linalg.det(a) +a @ a +a @ a.T +np.linalg.inv(a) +np.sin(np.exp(a)) +np.linalg.svd(a) +np.linalg.eigh(a) + +np.unique(np.random.randint(0, 10, 100)) +np.sort(np.random.uniform(0, 10, 100)) + +np.fft.fft(np.exp(2j * np.pi * np.arange(8) / 8)) +np.ma.masked_array(np.arange(10), np.random.rand(10) < .5).sum() +np.polynomial.Legendre([7, 8, 9]).roots() + +print("I made it!") diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/test_pyinstaller.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/test_pyinstaller.py new file mode 100644 index 0000000000000000000000000000000000000000..a9061da19b88c4243a3fd28bf05fd2986292d836 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pyinstaller/tests/test_pyinstaller.py @@ -0,0 +1,35 @@ +import subprocess +from pathlib import Path + +import pytest + + +# PyInstaller has been very unproactive about replacing 'imp' with 'importlib'. +@pytest.mark.filterwarnings('ignore::DeprecationWarning') +# It also leaks io.BytesIO()s. +@pytest.mark.filterwarnings('ignore::ResourceWarning') +@pytest.mark.parametrize("mode", ["--onedir", "--onefile"]) +@pytest.mark.slow +def test_pyinstaller(mode, tmp_path): + """Compile and run pyinstaller-smoke.py using PyInstaller.""" + + pyinstaller_cli = pytest.importorskip("PyInstaller.__main__").run + + source = Path(__file__).with_name("pyinstaller-smoke.py").resolve() + args = [ + # Place all generated files in ``tmp_path``. + '--workpath', str(tmp_path / "build"), + '--distpath', str(tmp_path / "dist"), + '--specpath', str(tmp_path), + mode, + str(source), + ] + pyinstaller_cli(args) + + if mode == "--onefile": + exe = tmp_path / "dist" / source.stem + else: + exe = tmp_path / "dist" / source.stem / source.stem + + p = subprocess.run([str(exe)], check=True, stdout=subprocess.PIPE) + assert p.stdout.strip() == b"I made it!" diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pytesttester.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pytesttester.py new file mode 100644 index 0000000000000000000000000000000000000000..fe380dc828a59791ccc1805283d8a15fedc35f89 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pytesttester.py @@ -0,0 +1,200 @@ +""" +Pytest test running. + +This module implements the ``test()`` function for NumPy modules. The usual +boiler plate for doing that is to put the following in the module +``__init__.py`` file:: + + from numpy._pytesttester import PytestTester + test = PytestTester(__name__) + del PytestTester + + +Warnings filtering and other runtime settings should be dealt with in the +``pytest.ini`` file in the numpy repo root. The behavior of the test depends on +whether or not that file is found as follows: + +* ``pytest.ini`` is present (develop mode) + All warnings except those explicitly filtered out are raised as error. +* ``pytest.ini`` is absent (release mode) + DeprecationWarnings and PendingDeprecationWarnings are ignored, other + warnings are passed through. + +In practice, tests run from the numpy repo are run in development mode with +``spin``, through the standard ``spin test`` invocation or from an inplace +build with ``pytest numpy``. + +This module is imported by every numpy subpackage, so lies at the top level to +simplify circular import issues. For the same reason, it contains no numpy +imports at module scope, instead importing numpy within function calls. +""" +import sys +import os + +__all__ = ['PytestTester'] + + +def _show_numpy_info(): + import numpy as np + + print("NumPy version %s" % np.__version__) + info = np.lib._utils_impl._opt_info() + print("NumPy CPU features: ", (info if info else 'nothing enabled')) + + +class PytestTester: + """ + Pytest test runner. + + A test function is typically added to a package's __init__.py like so:: + + from numpy._pytesttester import PytestTester + test = PytestTester(__name__).test + del PytestTester + + Calling this test function finds and runs all tests associated with the + module and all its sub-modules. + + Attributes + ---------- + module_name : str + Full path to the package to test. + + Parameters + ---------- + module_name : module name + The name of the module to test. + + Notes + ----- + Unlike the previous ``nose``-based implementation, this class is not + publicly exposed as it performs some ``numpy``-specific warning + suppression. + + """ + def __init__(self, module_name): + self.module_name = module_name + self.__module__ = module_name + + def __call__(self, label='fast', verbose=1, extra_argv=None, + doctests=False, coverage=False, durations=-1, tests=None): + """ + Run tests for module using pytest. + + Parameters + ---------- + label : {'fast', 'full'}, optional + Identifies the tests to run. When set to 'fast', tests decorated + with `pytest.mark.slow` are skipped, when 'full', the slow marker + is ignored. + verbose : int, optional + Verbosity value for test outputs, in the range 1-3. Default is 1. + extra_argv : list, optional + List with any extra arguments to pass to pytests. + doctests : bool, optional + .. note:: Not supported + coverage : bool, optional + If True, report coverage of NumPy code. Default is False. + Requires installation of (pip) pytest-cov. + durations : int, optional + If < 0, do nothing, If 0, report time of all tests, if > 0, + report the time of the slowest `timer` tests. Default is -1. + tests : test or list of tests + Tests to be executed with pytest '--pyargs' + + Returns + ------- + result : bool + Return True on success, false otherwise. + + Notes + ----- + Each NumPy module exposes `test` in its namespace to run all tests for + it. For example, to run all tests for numpy.lib: + + >>> np.lib.test() #doctest: +SKIP + + Examples + -------- + >>> result = np.lib.test() #doctest: +SKIP + ... + 1023 passed, 2 skipped, 6 deselected, 1 xfailed in 10.39 seconds + >>> result + True + + """ + import pytest + import warnings + + module = sys.modules[self.module_name] + module_path = os.path.abspath(module.__path__[0]) + + # setup the pytest arguments + pytest_args = ["-l"] + + # offset verbosity. The "-q" cancels a "-v". + pytest_args += ["-q"] + + if sys.version_info < (3, 12): + with warnings.catch_warnings(): + warnings.simplefilter("always") + # Filter out distutils cpu warnings (could be localized to + # distutils tests). ASV has problems with top level import, + # so fetch module for suppression here. + from numpy.distutils import cpuinfo + + # Filter out annoying import messages. Want these in both develop and + # release mode. + pytest_args += [ + "-W ignore:Not importing directory", + "-W ignore:numpy.dtype size changed", + "-W ignore:numpy.ufunc size changed", + "-W ignore::UserWarning:cpuinfo", + ] + + # When testing matrices, ignore their PendingDeprecationWarnings + pytest_args += [ + "-W ignore:the matrix subclass is not", + "-W ignore:Importing from numpy.matlib is", + ] + + if doctests: + pytest_args += ["--doctest-modules"] + + if extra_argv: + pytest_args += list(extra_argv) + + if verbose > 1: + pytest_args += ["-" + "v"*(verbose - 1)] + + if coverage: + pytest_args += ["--cov=" + module_path] + + if label == "fast": + # not importing at the top level to avoid circular import of module + from numpy.testing import IS_PYPY + if IS_PYPY: + pytest_args += ["-m", "not slow and not slow_pypy"] + else: + pytest_args += ["-m", "not slow"] + + elif label != "full": + pytest_args += ["-m", label] + + if durations >= 0: + pytest_args += ["--durations=%s" % durations] + + if tests is None: + tests = [self.module_name] + + pytest_args += ["--pyargs"] + list(tests) + + # run tests. + _show_numpy_info() + + try: + code = pytest.main(pytest_args) + except SystemExit as exc: + code = exc.code + + return code == 0 diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pytesttester.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pytesttester.pyi new file mode 100644 index 0000000000000000000000000000000000000000..f5db633fcd56fa76c1435fbb9b8a93ef7a5edd5c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_pytesttester.pyi @@ -0,0 +1,18 @@ +from collections.abc import Iterable +from typing import Literal as L + +__all__ = ["PytestTester"] + +class PytestTester: + module_name: str + def __init__(self, module_name: str) -> None: ... + def __call__( + self, + label: L["fast", "full"] = ..., + verbose: int = ..., + extra_argv: None | Iterable[str] = ..., + doctests: L[False] = ..., + coverage: bool = ..., + durations: int = ..., + tests: None | Iterable[str] = ..., + ) -> bool: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..dd9b133ddf881ab8b301738e841d2789b7946390 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/__init__.py @@ -0,0 +1,154 @@ +"""Private counterpart of ``numpy.typing``.""" + +from __future__ import annotations + +from ._nested_sequence import ( + _NestedSequence as _NestedSequence, +) +from ._nbit_base import ( + NBitBase as NBitBase, + _8Bit as _8Bit, + _16Bit as _16Bit, + _32Bit as _32Bit, + _64Bit as _64Bit, + _80Bit as _80Bit, + _96Bit as _96Bit, + _128Bit as _128Bit, + _256Bit as _256Bit, +) +from ._nbit import ( + _NBitByte as _NBitByte, + _NBitShort as _NBitShort, + _NBitIntC as _NBitIntC, + _NBitIntP as _NBitIntP, + _NBitInt as _NBitInt, + _NBitLong as _NBitLong, + _NBitLongLong as _NBitLongLong, + _NBitHalf as _NBitHalf, + _NBitSingle as _NBitSingle, + _NBitDouble as _NBitDouble, + _NBitLongDouble as _NBitLongDouble, +) +from ._char_codes import ( + _BoolCodes as _BoolCodes, + _UInt8Codes as _UInt8Codes, + _UInt16Codes as _UInt16Codes, + _UInt32Codes as _UInt32Codes, + _UInt64Codes as _UInt64Codes, + _Int8Codes as _Int8Codes, + _Int16Codes as _Int16Codes, + _Int32Codes as _Int32Codes, + _Int64Codes as _Int64Codes, + _Float16Codes as _Float16Codes, + _Float32Codes as _Float32Codes, + _Float64Codes as _Float64Codes, + _Complex64Codes as _Complex64Codes, + _Complex128Codes as _Complex128Codes, + _ByteCodes as _ByteCodes, + _ShortCodes as _ShortCodes, + _IntCCodes as _IntCCodes, + _IntPCodes as _IntPCodes, + _IntCodes as _IntCodes, + _LongCodes as _LongCodes, + _LongLongCodes as _LongLongCodes, + _UByteCodes as _UByteCodes, + _UShortCodes as _UShortCodes, + _UIntCCodes as _UIntCCodes, + _UIntPCodes as _UIntPCodes, + _UIntCodes as _UIntCodes, + _ULongCodes as _ULongCodes, + _ULongLongCodes as _ULongLongCodes, + _HalfCodes as _HalfCodes, + _SingleCodes as _SingleCodes, + _DoubleCodes as _DoubleCodes, + _LongDoubleCodes as _LongDoubleCodes, + _CSingleCodes as _CSingleCodes, + _CDoubleCodes as _CDoubleCodes, + _CLongDoubleCodes as _CLongDoubleCodes, + _DT64Codes as _DT64Codes, + _TD64Codes as _TD64Codes, + _StrCodes as _StrCodes, + _BytesCodes as _BytesCodes, + _VoidCodes as _VoidCodes, + _ObjectCodes as _ObjectCodes, + _StringCodes as _StringCodes, + _UnsignedIntegerCodes as _UnsignedIntegerCodes, + _SignedIntegerCodes as _SignedIntegerCodes, + _IntegerCodes as _IntegerCodes, + _FloatingCodes as _FloatingCodes, + _ComplexFloatingCodes as _ComplexFloatingCodes, + _InexactCodes as _InexactCodes, + _NumberCodes as _NumberCodes, + _CharacterCodes as _CharacterCodes, + _FlexibleCodes as _FlexibleCodes, + _GenericCodes as _GenericCodes, +) +from ._scalars import ( + _CharLike_co as _CharLike_co, + _BoolLike_co as _BoolLike_co, + _UIntLike_co as _UIntLike_co, + _IntLike_co as _IntLike_co, + _FloatLike_co as _FloatLike_co, + _ComplexLike_co as _ComplexLike_co, + _TD64Like_co as _TD64Like_co, + _NumberLike_co as _NumberLike_co, + _ScalarLike_co as _ScalarLike_co, + _VoidLike_co as _VoidLike_co, +) +from ._shape import ( + _Shape as _Shape, + _ShapeLike as _ShapeLike, +) +from ._dtype_like import ( + DTypeLike as DTypeLike, + _DTypeLike as _DTypeLike, + _SupportsDType as _SupportsDType, + _VoidDTypeLike as _VoidDTypeLike, + _DTypeLikeBool as _DTypeLikeBool, + _DTypeLikeUInt as _DTypeLikeUInt, + _DTypeLikeInt as _DTypeLikeInt, + _DTypeLikeFloat as _DTypeLikeFloat, + _DTypeLikeComplex as _DTypeLikeComplex, + _DTypeLikeTD64 as _DTypeLikeTD64, + _DTypeLikeDT64 as _DTypeLikeDT64, + _DTypeLikeObject as _DTypeLikeObject, + _DTypeLikeVoid as _DTypeLikeVoid, + _DTypeLikeStr as _DTypeLikeStr, + _DTypeLikeBytes as _DTypeLikeBytes, + _DTypeLikeComplex_co as _DTypeLikeComplex_co, +) +from ._array_like import ( + NDArray as NDArray, + ArrayLike as ArrayLike, + _ArrayLike as _ArrayLike, + _ArrayLikeInt as _ArrayLikeInt, + _ArrayLikeBool_co as _ArrayLikeBool_co, + _ArrayLikeUInt_co as _ArrayLikeUInt_co, + _ArrayLikeInt_co as _ArrayLikeInt_co, + _ArrayLikeFloat_co as _ArrayLikeFloat_co, + _ArrayLikeFloat64_co as _ArrayLikeFloat64_co, + _ArrayLikeComplex_co as _ArrayLikeComplex_co, + _ArrayLikeComplex128_co as _ArrayLikeComplex128_co, + _ArrayLikeNumber_co as _ArrayLikeNumber_co, + _ArrayLikeTD64_co as _ArrayLikeTD64_co, + _ArrayLikeDT64_co as _ArrayLikeDT64_co, + _ArrayLikeObject_co as _ArrayLikeObject_co, + _ArrayLikeVoid_co as _ArrayLikeVoid_co, + _ArrayLikeStr_co as _ArrayLikeStr_co, + _ArrayLikeBytes_co as _ArrayLikeBytes_co, + _ArrayLikeString_co as _ArrayLikeString_co, + _ArrayLikeAnyString_co as _ArrayLikeAnyString_co, + _ArrayLikeUnknown as _ArrayLikeUnknown, + _FiniteNestedSequence as _FiniteNestedSequence, + _SupportsArray as _SupportsArray, + _SupportsArrayFunc as _SupportsArrayFunc, + _UnknownType as _UnknownType, +) + +from ._ufunc import ( + _UFunc_Nin1_Nout1 as _UFunc_Nin1_Nout1, + _UFunc_Nin2_Nout1 as _UFunc_Nin2_Nout1, + _UFunc_Nin1_Nout2 as _UFunc_Nin1_Nout2, + _UFunc_Nin2_Nout2 as _UFunc_Nin2_Nout2, + _GUFunc_Nin2_Nout1 as _GUFunc_Nin2_Nout1, +) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_add_docstring.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_add_docstring.py new file mode 100644 index 0000000000000000000000000000000000000000..68e362b6925f5278ba4bbb7e92b7e4eb92b42dc2 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_add_docstring.py @@ -0,0 +1,153 @@ +"""A module for creating docstrings for sphinx ``data`` domains.""" + +import re +import textwrap + +from ._array_like import NDArray + +_docstrings_list = [] + + +def add_newdoc(name: str, value: str, doc: str) -> None: + """Append ``_docstrings_list`` with a docstring for `name`. + + Parameters + ---------- + name : str + The name of the object. + value : str + A string-representation of the object. + doc : str + The docstring of the object. + + """ + _docstrings_list.append((name, value, doc)) + + +def _parse_docstrings() -> str: + """Convert all docstrings in ``_docstrings_list`` into a single + sphinx-legible text block. + + """ + type_list_ret = [] + for name, value, doc in _docstrings_list: + s = textwrap.dedent(doc).replace("\n", "\n ") + + # Replace sections by rubrics + lines = s.split("\n") + new_lines = [] + indent = "" + for line in lines: + m = re.match(r'^(\s+)[-=]+\s*$', line) + if m and new_lines: + prev = textwrap.dedent(new_lines.pop()) + if prev == "Examples": + indent = "" + new_lines.append(f'{m.group(1)}.. rubric:: {prev}') + else: + indent = 4 * " " + new_lines.append(f'{m.group(1)}.. admonition:: {prev}') + new_lines.append("") + else: + new_lines.append(f"{indent}{line}") + + s = "\n".join(new_lines) + s_block = f""".. data:: {name}\n :value: {value}\n {s}""" + type_list_ret.append(s_block) + return "\n".join(type_list_ret) + + +add_newdoc('ArrayLike', 'typing.Union[...]', + """ + A `~typing.Union` representing objects that can be coerced + into an `~numpy.ndarray`. + + Among others this includes the likes of: + + * Scalars. + * (Nested) sequences. + * Objects implementing the `~class.__array__` protocol. + + .. versionadded:: 1.20 + + See Also + -------- + :term:`array_like`: + Any scalar or sequence that can be interpreted as an ndarray. + + Examples + -------- + .. code-block:: python + + >>> import numpy as np + >>> import numpy.typing as npt + + >>> def as_array(a: npt.ArrayLike) -> np.ndarray: + ... return np.array(a) + + """) + +add_newdoc('DTypeLike', 'typing.Union[...]', + """ + A `~typing.Union` representing objects that can be coerced + into a `~numpy.dtype`. + + Among others this includes the likes of: + + * :class:`type` objects. + * Character codes or the names of :class:`type` objects. + * Objects with the ``.dtype`` attribute. + + .. versionadded:: 1.20 + + See Also + -------- + :ref:`Specifying and constructing data types ` + A comprehensive overview of all objects that can be coerced + into data types. + + Examples + -------- + .. code-block:: python + + >>> import numpy as np + >>> import numpy.typing as npt + + >>> def as_dtype(d: npt.DTypeLike) -> np.dtype: + ... return np.dtype(d) + + """) + +add_newdoc('NDArray', repr(NDArray), + """ + A `np.ndarray[tuple[int, ...], np.dtype[+ScalarType]] ` + type alias :term:`generic ` w.r.t. its + `dtype.type `. + + Can be used during runtime for typing arrays with a given dtype + and unspecified shape. + + .. versionadded:: 1.21 + + Examples + -------- + .. code-block:: python + + >>> import numpy as np + >>> import numpy.typing as npt + + >>> print(npt.NDArray) + numpy.ndarray[tuple[int, ...], numpy.dtype[+_ScalarType_co]] + + >>> print(npt.NDArray[np.float64]) + numpy.ndarray[tuple[int, ...], numpy.dtype[numpy.float64]] + + >>> NDArrayInt = npt.NDArray[np.int_] + >>> a: NDArrayInt = np.arange(10) + + >>> def func(a: npt.ArrayLike) -> npt.NDArray[Any]: + ... return np.array(a) + + """) + +_docstrings = _parse_docstrings() diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_array_like.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_array_like.py new file mode 100644 index 0000000000000000000000000000000000000000..7798e5d5d751451a9e87720d4e995f35a93fe6d3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_array_like.py @@ -0,0 +1,192 @@ +from __future__ import annotations + +import sys +from collections.abc import Collection, Callable, Sequence +from typing import Any, Protocol, TypeAlias, TypeVar, runtime_checkable, TYPE_CHECKING + +import numpy as np +from numpy import ( + ndarray, + dtype, + generic, + unsignedinteger, + integer, + floating, + complexfloating, + number, + timedelta64, + datetime64, + object_, + void, + str_, + bytes_, +) +from ._nbit_base import _32Bit, _64Bit +from ._nested_sequence import _NestedSequence +from ._shape import _Shape + +if TYPE_CHECKING: + StringDType = np.dtypes.StringDType +else: + # at runtime outside of type checking importing this from numpy.dtypes + # would lead to a circular import + from numpy._core.multiarray import StringDType + +_T = TypeVar("_T") +_ScalarType = TypeVar("_ScalarType", bound=generic) +_ScalarType_co = TypeVar("_ScalarType_co", bound=generic, covariant=True) +_DType = TypeVar("_DType", bound=dtype[Any]) +_DType_co = TypeVar("_DType_co", covariant=True, bound=dtype[Any]) + +NDArray: TypeAlias = ndarray[_Shape, dtype[_ScalarType_co]] + +# The `_SupportsArray` protocol only cares about the default dtype +# (i.e. `dtype=None` or no `dtype` parameter at all) of the to-be returned +# array. +# Concrete implementations of the protocol are responsible for adding +# any and all remaining overloads +@runtime_checkable +class _SupportsArray(Protocol[_DType_co]): + def __array__(self) -> ndarray[Any, _DType_co]: ... + + +@runtime_checkable +class _SupportsArrayFunc(Protocol): + """A protocol class representing `~class.__array_function__`.""" + def __array_function__( + self, + func: Callable[..., Any], + types: Collection[type[Any]], + args: tuple[Any, ...], + kwargs: dict[str, Any], + ) -> object: ... + + +# TODO: Wait until mypy supports recursive objects in combination with typevars +_FiniteNestedSequence: TypeAlias = ( + _T + | Sequence[_T] + | Sequence[Sequence[_T]] + | Sequence[Sequence[Sequence[_T]]] + | Sequence[Sequence[Sequence[Sequence[_T]]]] +) + +# A subset of `npt.ArrayLike` that can be parametrized w.r.t. `np.generic` +_ArrayLike: TypeAlias = ( + _SupportsArray[dtype[_ScalarType]] + | _NestedSequence[_SupportsArray[dtype[_ScalarType]]] +) + +# A union representing array-like objects; consists of two typevars: +# One representing types that can be parametrized w.r.t. `np.dtype` +# and another one for the rest +_DualArrayLike: TypeAlias = ( + _SupportsArray[_DType] + | _NestedSequence[_SupportsArray[_DType]] + | _T + | _NestedSequence[_T] +) + +if sys.version_info >= (3, 12): + from collections.abc import Buffer as _Buffer +else: + @runtime_checkable + class _Buffer(Protocol): + def __buffer__(self, flags: int, /) -> memoryview: ... + +ArrayLike: TypeAlias = _Buffer | _DualArrayLike[ + dtype[Any], + bool | int | float | complex | str | bytes, +] + +# `ArrayLike_co`: array-like objects that can be coerced into `X` +# given the casting rules `same_kind` +_ArrayLikeBool_co: TypeAlias = _DualArrayLike[ + dtype[np.bool], + bool, +] +_ArrayLikeUInt_co: TypeAlias = _DualArrayLike[ + dtype[np.bool] | dtype[unsignedinteger[Any]], + bool, +] +_ArrayLikeInt_co: TypeAlias = _DualArrayLike[ + dtype[np.bool] | dtype[integer[Any]], + bool | int, +] +_ArrayLikeFloat_co: TypeAlias = _DualArrayLike[ + dtype[np.bool] | dtype[integer[Any]] | dtype[floating[Any]], + bool | int | float, +] +_ArrayLikeComplex_co: TypeAlias = _DualArrayLike[ + ( + dtype[np.bool] + | dtype[integer[Any]] + | dtype[floating[Any]] + | dtype[complexfloating[Any, Any]] + ), + bool | int | float | complex, +] +_ArrayLikeNumber_co: TypeAlias = _DualArrayLike[ + dtype[np.bool] | dtype[number[Any]], + bool | int | float | complex, +] +_ArrayLikeTD64_co: TypeAlias = _DualArrayLike[ + dtype[np.bool] | dtype[integer[Any]] | dtype[timedelta64], + bool | int, +] +_ArrayLikeDT64_co: TypeAlias = ( + _SupportsArray[dtype[datetime64]] + | _NestedSequence[_SupportsArray[dtype[datetime64]]] +) +_ArrayLikeObject_co: TypeAlias = ( + _SupportsArray[dtype[object_]] + | _NestedSequence[_SupportsArray[dtype[object_]]] +) + +_ArrayLikeVoid_co: TypeAlias = ( + _SupportsArray[dtype[void]] + | _NestedSequence[_SupportsArray[dtype[void]]] +) +_ArrayLikeStr_co: TypeAlias = _DualArrayLike[ + dtype[str_], + str, +] +_ArrayLikeBytes_co: TypeAlias = _DualArrayLike[ + dtype[bytes_], + bytes, +] +_ArrayLikeString_co: TypeAlias = _DualArrayLike[ + StringDType, + str +] +_ArrayLikeAnyString_co: TypeAlias = ( + _ArrayLikeStr_co | + _ArrayLikeBytes_co | + _ArrayLikeString_co +) + +__Float64_co: TypeAlias = np.floating[_64Bit] | np.float32 | np.float16 | np.integer | np.bool +__Complex128_co: TypeAlias = np.number[_64Bit] | np.number[_32Bit] | np.float16 | np.integer | np.bool +_ArrayLikeFloat64_co: TypeAlias = _DualArrayLike[dtype[__Float64_co], float | int] +_ArrayLikeComplex128_co: TypeAlias = _DualArrayLike[dtype[__Complex128_co], complex | float | int] + +# NOTE: This includes `builtins.bool`, but not `numpy.bool`. +_ArrayLikeInt: TypeAlias = _DualArrayLike[ + dtype[integer[Any]], + int, +] + +# Extra ArrayLike type so that pyright can deal with NDArray[Any] +# Used as the first overload, should only match NDArray[Any], +# not any actual types. +# https://github.com/numpy/numpy/pull/22193 +if sys.version_info >= (3, 11): + from typing import Never as _UnknownType +else: + from typing import NoReturn as _UnknownType + + +_ArrayLikeUnknown: TypeAlias = _DualArrayLike[ + dtype[_UnknownType], + _UnknownType, +] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_callable.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_callable.pyi new file mode 100644 index 0000000000000000000000000000000000000000..75af1ae8efba4f5eb875719a81497309345e66b9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_callable.pyi @@ -0,0 +1,365 @@ +""" +A module with various ``typing.Protocol`` subclasses that implement +the ``__call__`` magic method. + +See the `Mypy documentation`_ on protocols for more details. + +.. _`Mypy documentation`: https://mypy.readthedocs.io/en/stable/protocols.html#callback-protocols + +""" + +from typing import ( + TypeAlias, + TypeVar, + final, + overload, + Any, + NoReturn, + Protocol, + type_check_only, +) + +import numpy as np +from numpy import ( + generic, + number, + integer, + unsignedinteger, + signedinteger, + int8, + int_, + floating, + float64, + complexfloating, + complex128, +) +from ._nbit import _NBitInt +from ._scalars import ( + _BoolLike_co, + _IntLike_co, + _NumberLike_co, +) +from . import NBitBase +from ._array_like import NDArray +from ._nested_sequence import _NestedSequence + +_T1 = TypeVar("_T1") +_T2 = TypeVar("_T2") +_T1_contra = TypeVar("_T1_contra", contravariant=True) +_T2_contra = TypeVar("_T2_contra", contravariant=True) + +_2Tuple: TypeAlias = tuple[_T1, _T1] + +_NBit1 = TypeVar("_NBit1", bound=NBitBase) +_NBit2 = TypeVar("_NBit2", bound=NBitBase) + +_IntType = TypeVar("_IntType", bound=integer[Any]) +_FloatType = TypeVar("_FloatType", bound=floating[Any]) +_NumberType = TypeVar("_NumberType", bound=number[Any]) +_NumberType_co = TypeVar("_NumberType_co", covariant=True, bound=number[Any]) +_GenericType_co = TypeVar("_GenericType_co", covariant=True, bound=generic) + +@type_check_only +class _BoolOp(Protocol[_GenericType_co]): + @overload + def __call__(self, other: _BoolLike_co, /) -> _GenericType_co: ... + @overload # platform dependent + def __call__(self, other: int, /) -> int_: ... + @overload + def __call__(self, other: float, /) -> float64: ... + @overload + def __call__(self, other: complex, /) -> complex128: ... + @overload + def __call__(self, other: _NumberType, /) -> _NumberType: ... + +@type_check_only +class _BoolBitOp(Protocol[_GenericType_co]): + @overload + def __call__(self, other: _BoolLike_co, /) -> _GenericType_co: ... + @overload # platform dependent + def __call__(self, other: int, /) -> int_: ... + @overload + def __call__(self, other: _IntType, /) -> _IntType: ... + +@type_check_only +class _BoolSub(Protocol): + # Note that `other: bool` is absent here + @overload + def __call__(self, other: bool, /) -> NoReturn: ... + @overload # platform dependent + def __call__(self, other: int, /) -> int_: ... + @overload + def __call__(self, other: float, /) -> float64: ... + @overload + def __call__(self, other: complex, /) -> complex128: ... + @overload + def __call__(self, other: _NumberType, /) -> _NumberType: ... + +@type_check_only +class _BoolTrueDiv(Protocol): + @overload + def __call__(self, other: float | _IntLike_co, /) -> float64: ... + @overload + def __call__(self, other: complex, /) -> complex128: ... + @overload + def __call__(self, other: _NumberType, /) -> _NumberType: ... + +@type_check_only +class _BoolMod(Protocol): + @overload + def __call__(self, other: _BoolLike_co, /) -> int8: ... + @overload # platform dependent + def __call__(self, other: int, /) -> int_: ... + @overload + def __call__(self, other: float, /) -> float64: ... + @overload + def __call__(self, other: _IntType, /) -> _IntType: ... + @overload + def __call__(self, other: _FloatType, /) -> _FloatType: ... + +@type_check_only +class _BoolDivMod(Protocol): + @overload + def __call__(self, other: _BoolLike_co, /) -> _2Tuple[int8]: ... + @overload # platform dependent + def __call__(self, other: int, /) -> _2Tuple[int_]: ... + @overload + def __call__(self, other: float, /) -> _2Tuple[np.float64]: ... + @overload + def __call__(self, other: _IntType, /) -> _2Tuple[_IntType]: ... + @overload + def __call__(self, other: _FloatType, /) -> _2Tuple[_FloatType]: ... + +@type_check_only +class _IntTrueDiv(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> floating[_NBit1]: ... + @overload + def __call__(self, other: int, /) -> floating[_NBit1] | floating[_NBitInt]: ... + @overload + def __call__(self, other: float, /) -> floating[_NBit1] | float64: ... + @overload + def __call__( + self, other: complex, / + ) -> complexfloating[_NBit1, _NBit1] | complex128: ... + @overload + def __call__( + self, other: integer[_NBit2], / + ) -> floating[_NBit1] | floating[_NBit2]: ... + +@type_check_only +class _UnsignedIntOp(Protocol[_NBit1]): + # NOTE: `uint64 + signedinteger -> float64` + @overload + def __call__(self, other: int, /) -> unsignedinteger[_NBit1]: ... + @overload + def __call__(self, other: float, /) -> float64: ... + @overload + def __call__(self, other: complex, /) -> complex128: ... + @overload + def __call__(self, other: unsignedinteger[_NBit2], /) -> unsignedinteger[_NBit1] | unsignedinteger[_NBit2]: ... + @overload + def __call__(self, other: signedinteger, /) -> Any: ... + +@type_check_only +class _UnsignedIntBitOp(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> unsignedinteger[_NBit1]: ... + @overload + def __call__(self, other: int, /) -> signedinteger[Any]: ... + @overload + def __call__(self, other: signedinteger[Any], /) -> signedinteger[Any]: ... + @overload + def __call__( + self, other: unsignedinteger[_NBit2], / + ) -> unsignedinteger[_NBit1] | unsignedinteger[_NBit2]: ... + +@type_check_only +class _UnsignedIntMod(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> unsignedinteger[_NBit1]: ... + @overload + def __call__(self, other: int | signedinteger[Any], /) -> Any: ... + @overload + def __call__(self, other: float, /) -> floating[_NBit1] | float64: ... + @overload + def __call__( + self, other: unsignedinteger[_NBit2], / + ) -> unsignedinteger[_NBit1] | unsignedinteger[_NBit2]: ... + +@type_check_only +class _UnsignedIntDivMod(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> _2Tuple[signedinteger[_NBit1]]: ... + @overload + def __call__(self, other: int | signedinteger[Any], /) -> _2Tuple[Any]: ... + @overload + def __call__(self, other: float, /) -> _2Tuple[floating[_NBit1]] | _2Tuple[float64]: ... + @overload + def __call__( + self, other: unsignedinteger[_NBit2], / + ) -> _2Tuple[unsignedinteger[_NBit1]] | _2Tuple[unsignedinteger[_NBit2]]: ... + +@type_check_only +class _SignedIntOp(Protocol[_NBit1]): + @overload + def __call__(self, other: int, /) -> signedinteger[_NBit1]: ... + @overload + def __call__(self, other: float, /) -> float64: ... + @overload + def __call__(self, other: complex, /) -> complex128: ... + @overload + def __call__(self, other: signedinteger[_NBit2], /) -> signedinteger[_NBit1] | signedinteger[_NBit2]: ... + +@type_check_only +class _SignedIntBitOp(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> signedinteger[_NBit1]: ... + @overload + def __call__(self, other: int, /) -> signedinteger[_NBit1] | int_: ... + @overload + def __call__( + self, other: signedinteger[_NBit2], / + ) -> signedinteger[_NBit1] | signedinteger[_NBit2]: ... + +@type_check_only +class _SignedIntMod(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> signedinteger[_NBit1]: ... + @overload + def __call__(self, other: int, /) -> signedinteger[_NBit1] | int_: ... + @overload + def __call__(self, other: float, /) -> floating[_NBit1] | float64: ... + @overload + def __call__( + self, other: signedinteger[_NBit2], / + ) -> signedinteger[_NBit1] | signedinteger[_NBit2]: ... + +@type_check_only +class _SignedIntDivMod(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> _2Tuple[signedinteger[_NBit1]]: ... + @overload + def __call__(self, other: int, /) -> _2Tuple[signedinteger[_NBit1]] | _2Tuple[int_]: ... + @overload + def __call__(self, other: float, /) -> _2Tuple[floating[_NBit1]] | _2Tuple[float64]: ... + @overload + def __call__( + self, other: signedinteger[_NBit2], / + ) -> _2Tuple[signedinteger[_NBit1]] | _2Tuple[signedinteger[_NBit2]]: ... + +@type_check_only +class _FloatOp(Protocol[_NBit1]): + @overload + def __call__(self, other: int, /) -> floating[_NBit1]: ... + @overload + def __call__(self, other: float, /) -> floating[_NBit1] | float64: ... + @overload + def __call__( + self, other: complex, / + ) -> complexfloating[_NBit1, _NBit1] | complex128: ... + @overload + def __call__( + self, other: integer[_NBit2] | floating[_NBit2], / + ) -> floating[_NBit1] | floating[_NBit2]: ... + +@type_check_only +class _FloatMod(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> floating[_NBit1]: ... + @overload + def __call__(self, other: int, /) -> floating[_NBit1] | floating[_NBitInt]: ... + @overload + def __call__(self, other: float, /) -> floating[_NBit1] | float64: ... + @overload + def __call__( + self, other: integer[_NBit2] | floating[_NBit2], / + ) -> floating[_NBit1] | floating[_NBit2]: ... + +class _FloatDivMod(Protocol[_NBit1]): + @overload + def __call__(self, other: bool, /) -> _2Tuple[floating[_NBit1]]: ... + @overload + def __call__( + self, other: int, / + ) -> _2Tuple[floating[_NBit1]] | _2Tuple[floating[_NBitInt]]: ... + @overload + def __call__( + self, other: float, / + ) -> _2Tuple[floating[_NBit1]] | _2Tuple[float64]: ... + @overload + def __call__( + self, other: integer[_NBit2] | floating[_NBit2], / + ) -> _2Tuple[floating[_NBit1]] | _2Tuple[floating[_NBit2]]: ... + +@type_check_only +class _NumberOp(Protocol): + def __call__(self, other: _NumberLike_co, /) -> Any: ... + +@final +@type_check_only +class _SupportsLT(Protocol): + def __lt__(self, other: Any, /) -> Any: ... + +@final +@type_check_only +class _SupportsLE(Protocol): + def __le__(self, other: Any, /) -> Any: ... + +@final +@type_check_only +class _SupportsGT(Protocol): + def __gt__(self, other: Any, /) -> Any: ... + +@final +@type_check_only +class _SupportsGE(Protocol): + def __ge__(self, other: Any, /) -> Any: ... + +@final +@type_check_only +class _ComparisonOpLT(Protocol[_T1_contra, _T2_contra]): + @overload + def __call__(self, other: _T1_contra, /) -> np.bool: ... + @overload + def __call__(self, other: _T2_contra, /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _NestedSequence[_SupportsGT], /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _SupportsGT, /) -> np.bool: ... + +@final +@type_check_only +class _ComparisonOpLE(Protocol[_T1_contra, _T2_contra]): + @overload + def __call__(self, other: _T1_contra, /) -> np.bool: ... + @overload + def __call__(self, other: _T2_contra, /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _NestedSequence[_SupportsGE], /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _SupportsGE, /) -> np.bool: ... + +@final +@type_check_only +class _ComparisonOpGT(Protocol[_T1_contra, _T2_contra]): + @overload + def __call__(self, other: _T1_contra, /) -> np.bool: ... + @overload + def __call__(self, other: _T2_contra, /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _NestedSequence[_SupportsLT], /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _SupportsLT, /) -> np.bool: ... + +@final +@type_check_only +class _ComparisonOpGE(Protocol[_T1_contra, _T2_contra]): + @overload + def __call__(self, other: _T1_contra, /) -> np.bool: ... + @overload + def __call__(self, other: _T2_contra, /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _NestedSequence[_SupportsGT], /) -> NDArray[np.bool]: ... + @overload + def __call__(self, other: _SupportsGT, /) -> np.bool: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_char_codes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_char_codes.py new file mode 100644 index 0000000000000000000000000000000000000000..56154c7af3833cc19baab5a4c562601974168012 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_char_codes.py @@ -0,0 +1,214 @@ +from typing import Literal + +_BoolCodes = Literal[ + "bool", "bool_", + "?", "|?", "=?", "?", + "b1", "|b1", "=b1", "b1", +] # fmt: skip + +_UInt8Codes = Literal["uint8", "u1", "|u1", "=u1", "u1"] +_UInt16Codes = Literal["uint16", "u2", "|u2", "=u2", "u2"] +_UInt32Codes = Literal["uint32", "u4", "|u4", "=u4", "u4"] +_UInt64Codes = Literal["uint64", "u8", "|u8", "=u8", "u8"] + +_Int8Codes = Literal["int8", "i1", "|i1", "=i1", "i1"] +_Int16Codes = Literal["int16", "i2", "|i2", "=i2", "i2"] +_Int32Codes = Literal["int32", "i4", "|i4", "=i4", "i4"] +_Int64Codes = Literal["int64", "i8", "|i8", "=i8", "i8"] + +_Float16Codes = Literal["float16", "f2", "|f2", "=f2", "f2"] +_Float32Codes = Literal["float32", "f4", "|f4", "=f4", "f4"] +_Float64Codes = Literal["float64", "f8", "|f8", "=f8", "f8"] + +_Complex64Codes = Literal["complex64", "c8", "|c8", "=c8", "c8"] +_Complex128Codes = Literal["complex128", "c16", "|c16", "=c16", "c16"] + +_ByteCodes = Literal["byte", "b", "|b", "=b", "b"] +_ShortCodes = Literal["short", "h", "|h", "=h", "h"] +_IntCCodes = Literal["intc", "i", "|i", "=i", "i"] +_IntPCodes = Literal["intp", "int", "int_", "n", "|n", "=n", "n"] +_LongCodes = Literal["long", "l", "|l", "=l", "l"] +_IntCodes = _IntPCodes +_LongLongCodes = Literal["longlong", "q", "|q", "=q", "q"] + +_UByteCodes = Literal["ubyte", "B", "|B", "=B", "B"] +_UShortCodes = Literal["ushort", "H", "|H", "=H", "H"] +_UIntCCodes = Literal["uintc", "I", "|I", "=I", "I"] +_UIntPCodes = Literal["uintp", "uint", "N", "|N", "=N", "N"] +_ULongCodes = Literal["ulong", "L", "|L", "=L", "L"] +_UIntCodes = _UIntPCodes +_ULongLongCodes = Literal["ulonglong", "Q", "|Q", "=Q", "Q"] + +_HalfCodes = Literal["half", "e", "|e", "=e", "e"] +_SingleCodes = Literal["single", "f", "|f", "=f", "f"] +_DoubleCodes = Literal["double", "float", "d", "|d", "=d", "d"] +_LongDoubleCodes = Literal["longdouble", "g", "|g", "=g", "g"] + +_CSingleCodes = Literal["csingle", "F", "|F", "=F", "F"] +_CDoubleCodes = Literal["cdouble", "complex", "D", "|D", "=D", "D"] +_CLongDoubleCodes = Literal["clongdouble", "G", "|G", "=G", "G"] + +_StrCodes = Literal["str", "str_", "unicode", "U", "|U", "=U", "U"] +_BytesCodes = Literal["bytes", "bytes_", "S", "|S", "=S", "S"] +_VoidCodes = Literal["void", "V", "|V", "=V", "V"] +_ObjectCodes = Literal["object", "object_", "O", "|O", "=O", "O"] + +_DT64Codes = Literal[ + "datetime64", "|datetime64", "=datetime64", + "datetime64", + "datetime64[Y]", "|datetime64[Y]", "=datetime64[Y]", + "datetime64[Y]", + "datetime64[M]", "|datetime64[M]", "=datetime64[M]", + "datetime64[M]", + "datetime64[W]", "|datetime64[W]", "=datetime64[W]", + "datetime64[W]", + "datetime64[D]", "|datetime64[D]", "=datetime64[D]", + "datetime64[D]", + "datetime64[h]", "|datetime64[h]", "=datetime64[h]", + "datetime64[h]", + "datetime64[m]", "|datetime64[m]", "=datetime64[m]", + "datetime64[m]", + "datetime64[s]", "|datetime64[s]", "=datetime64[s]", + "datetime64[s]", + "datetime64[ms]", "|datetime64[ms]", "=datetime64[ms]", + "datetime64[ms]", + "datetime64[us]", "|datetime64[us]", "=datetime64[us]", + "datetime64[us]", + "datetime64[ns]", "|datetime64[ns]", "=datetime64[ns]", + "datetime64[ns]", + "datetime64[ps]", "|datetime64[ps]", "=datetime64[ps]", + "datetime64[ps]", + "datetime64[fs]", "|datetime64[fs]", "=datetime64[fs]", + "datetime64[fs]", + "datetime64[as]", "|datetime64[as]", "=datetime64[as]", + "datetime64[as]", + "M", "|M", "=M", "M", + "M8", "|M8", "=M8", "M8", + "M8[Y]", "|M8[Y]", "=M8[Y]", "M8[Y]", + "M8[M]", "|M8[M]", "=M8[M]", "M8[M]", + "M8[W]", "|M8[W]", "=M8[W]", "M8[W]", + "M8[D]", "|M8[D]", "=M8[D]", "M8[D]", + "M8[h]", "|M8[h]", "=M8[h]", "M8[h]", + "M8[m]", "|M8[m]", "=M8[m]", "M8[m]", + "M8[s]", "|M8[s]", "=M8[s]", "M8[s]", + "M8[ms]", "|M8[ms]", "=M8[ms]", "M8[ms]", + "M8[us]", "|M8[us]", "=M8[us]", "M8[us]", + "M8[ns]", "|M8[ns]", "=M8[ns]", "M8[ns]", + "M8[ps]", "|M8[ps]", "=M8[ps]", "M8[ps]", + "M8[fs]", "|M8[fs]", "=M8[fs]", "M8[fs]", + "M8[as]", "|M8[as]", "=M8[as]", "M8[as]", +] +_TD64Codes = Literal[ + "timedelta64", "|timedelta64", "=timedelta64", + "timedelta64", + "timedelta64[Y]", "|timedelta64[Y]", "=timedelta64[Y]", + "timedelta64[Y]", + "timedelta64[M]", "|timedelta64[M]", "=timedelta64[M]", + "timedelta64[M]", + "timedelta64[W]", "|timedelta64[W]", "=timedelta64[W]", + "timedelta64[W]", + "timedelta64[D]", "|timedelta64[D]", "=timedelta64[D]", + "timedelta64[D]", + "timedelta64[h]", "|timedelta64[h]", "=timedelta64[h]", + "timedelta64[h]", + "timedelta64[m]", "|timedelta64[m]", "=timedelta64[m]", + "timedelta64[m]", + "timedelta64[s]", "|timedelta64[s]", "=timedelta64[s]", + "timedelta64[s]", + "timedelta64[ms]", "|timedelta64[ms]", "=timedelta64[ms]", + "timedelta64[ms]", + "timedelta64[us]", "|timedelta64[us]", "=timedelta64[us]", + "timedelta64[us]", + "timedelta64[ns]", "|timedelta64[ns]", "=timedelta64[ns]", + "timedelta64[ns]", + "timedelta64[ps]", "|timedelta64[ps]", "=timedelta64[ps]", + "timedelta64[ps]", + "timedelta64[fs]", "|timedelta64[fs]", "=timedelta64[fs]", + "timedelta64[fs]", + "timedelta64[as]", "|timedelta64[as]", "=timedelta64[as]", + "timedelta64[as]", + "m", "|m", "=m", "m", + "m8", "|m8", "=m8", "m8", + "m8[Y]", "|m8[Y]", "=m8[Y]", "m8[Y]", + "m8[M]", "|m8[M]", "=m8[M]", "m8[M]", + "m8[W]", "|m8[W]", "=m8[W]", "m8[W]", + "m8[D]", "|m8[D]", "=m8[D]", "m8[D]", + "m8[h]", "|m8[h]", "=m8[h]", "m8[h]", + "m8[m]", "|m8[m]", "=m8[m]", "m8[m]", + "m8[s]", "|m8[s]", "=m8[s]", "m8[s]", + "m8[ms]", "|m8[ms]", "=m8[ms]", "m8[ms]", + "m8[us]", "|m8[us]", "=m8[us]", "m8[us]", + "m8[ns]", "|m8[ns]", "=m8[ns]", "m8[ns]", + "m8[ps]", "|m8[ps]", "=m8[ps]", "m8[ps]", + "m8[fs]", "|m8[fs]", "=m8[fs]", "m8[fs]", + "m8[as]", "|m8[as]", "=m8[as]", "m8[as]", +] + +# NOTE: `StringDType' has no scalar type, and therefore has no name that can +# be passed to the `dtype` constructor +_StringCodes = Literal["T", "|T", "=T", "T"] + +# NOTE: Nested literals get flattened and de-duplicated at runtime, which isn't +# the case for a `Union` of `Literal`s. +# So even though they're equivalent when type-checking, they differ at runtime. +# Another advantage of nesting, is that they always have a "flat" +# `Literal.__args__`, which is a tuple of *literally* all its literal values. + +_UnsignedIntegerCodes = Literal[ + _UInt8Codes, + _UInt16Codes, + _UInt32Codes, + _UInt64Codes, + _UIntCodes, + _UByteCodes, + _UShortCodes, + _UIntCCodes, + _ULongCodes, + _ULongLongCodes, +] +_SignedIntegerCodes = Literal[ + _Int8Codes, + _Int16Codes, + _Int32Codes, + _Int64Codes, + _IntCodes, + _ByteCodes, + _ShortCodes, + _IntCCodes, + _LongCodes, + _LongLongCodes, +] +_FloatingCodes = Literal[ + _Float16Codes, + _Float32Codes, + _Float64Codes, + _LongDoubleCodes, + _HalfCodes, + _SingleCodes, + _DoubleCodes, + _LongDoubleCodes +] +_ComplexFloatingCodes = Literal[ + _Complex64Codes, + _Complex128Codes, + _CSingleCodes, + _CDoubleCodes, + _CLongDoubleCodes, +] +_IntegerCodes = Literal[_UnsignedIntegerCodes, _SignedIntegerCodes] +_InexactCodes = Literal[_FloatingCodes, _ComplexFloatingCodes] +_NumberCodes = Literal[_IntegerCodes, _InexactCodes] + +_CharacterCodes = Literal[_StrCodes, _BytesCodes] +_FlexibleCodes = Literal[_VoidCodes, _CharacterCodes] + +_GenericCodes = Literal[ + _BoolCodes, + _NumberCodes, + _FlexibleCodes, + _DT64Codes, + _TD64Codes, + _ObjectCodes, + # TODO: add `_StringCodes` once it has a scalar type + # _StringCodes, +] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_dtype_like.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_dtype_like.py new file mode 100644 index 0000000000000000000000000000000000000000..4d08089081d6af6c18d1f31aebf874bb6caf1390 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_dtype_like.py @@ -0,0 +1,249 @@ +from collections.abc import Sequence # noqa: F811 +from typing import ( + Any, + TypeAlias, + TypeVar, + Protocol, + TypedDict, + runtime_checkable, +) + +import numpy as np + +from ._shape import _ShapeLike + +from ._char_codes import ( + _BoolCodes, + _UInt8Codes, + _UInt16Codes, + _UInt32Codes, + _UInt64Codes, + _Int8Codes, + _Int16Codes, + _Int32Codes, + _Int64Codes, + _Float16Codes, + _Float32Codes, + _Float64Codes, + _Complex64Codes, + _Complex128Codes, + _ByteCodes, + _ShortCodes, + _IntCCodes, + _LongCodes, + _LongLongCodes, + _IntPCodes, + _IntCodes, + _UByteCodes, + _UShortCodes, + _UIntCCodes, + _ULongCodes, + _ULongLongCodes, + _UIntPCodes, + _UIntCodes, + _HalfCodes, + _SingleCodes, + _DoubleCodes, + _LongDoubleCodes, + _CSingleCodes, + _CDoubleCodes, + _CLongDoubleCodes, + _DT64Codes, + _TD64Codes, + _StrCodes, + _BytesCodes, + _VoidCodes, + _ObjectCodes, +) + +_SCT = TypeVar("_SCT", bound=np.generic) +_DType_co = TypeVar("_DType_co", covariant=True, bound=np.dtype[Any]) + +_DTypeLikeNested: TypeAlias = Any # TODO: wait for support for recursive types + + +# Mandatory keys +class _DTypeDictBase(TypedDict): + names: Sequence[str] + formats: Sequence[_DTypeLikeNested] + + +# Mandatory + optional keys +class _DTypeDict(_DTypeDictBase, total=False): + # Only `str` elements are usable as indexing aliases, + # but `titles` can in principle accept any object + offsets: Sequence[int] + titles: Sequence[Any] + itemsize: int + aligned: bool + + +# A protocol for anything with the dtype attribute +@runtime_checkable +class _SupportsDType(Protocol[_DType_co]): + @property + def dtype(self) -> _DType_co: ... + + +# A subset of `npt.DTypeLike` that can be parametrized w.r.t. `np.generic` +_DTypeLike: TypeAlias = ( + np.dtype[_SCT] + | type[_SCT] + | _SupportsDType[np.dtype[_SCT]] +) + + +# Would create a dtype[np.void] +_VoidDTypeLike: TypeAlias = ( + # (flexible_dtype, itemsize) + tuple[_DTypeLikeNested, int] + # (fixed_dtype, shape) + | tuple[_DTypeLikeNested, _ShapeLike] + # [(field_name, field_dtype, field_shape), ...] + # + # The type here is quite broad because NumPy accepts quite a wide + # range of inputs inside the list; see the tests for some + # examples. + | list[Any] + # {'names': ..., 'formats': ..., 'offsets': ..., 'titles': ..., + # 'itemsize': ...} + | _DTypeDict + # (base_dtype, new_dtype) + | tuple[_DTypeLikeNested, _DTypeLikeNested] +) + +# Anything that can be coerced into numpy.dtype. +# Reference: https://docs.scipy.org/doc/numpy/reference/arrays.dtypes.html +DTypeLike: TypeAlias = ( + np.dtype[Any] + # default data type (float64) + | None + # array-scalar types and generic types + | type[Any] # NOTE: We're stuck with `type[Any]` due to object dtypes + # anything with a dtype attribute + | _SupportsDType[np.dtype[Any]] + # character codes, type strings or comma-separated fields, e.g., 'float64' + | str + | _VoidDTypeLike +) + +# NOTE: while it is possible to provide the dtype as a dict of +# dtype-like objects (e.g. `{'field1': ..., 'field2': ..., ...}`), +# this syntax is officially discouraged and +# therefore not included in the type-union defining `DTypeLike`. +# +# See https://github.com/numpy/numpy/issues/16891 for more details. + +# Aliases for commonly used dtype-like objects. +# Note that the precision of `np.number` subclasses is ignored herein. +_DTypeLikeBool: TypeAlias = ( + type[bool] + | type[np.bool] + | np.dtype[np.bool] + | _SupportsDType[np.dtype[np.bool]] + | _BoolCodes +) +_DTypeLikeUInt: TypeAlias = ( + type[np.unsignedinteger[Any]] + | np.dtype[np.unsignedinteger[Any]] + | _SupportsDType[np.dtype[np.unsignedinteger[Any]]] + | _UInt8Codes + | _UInt16Codes + | _UInt32Codes + | _UInt64Codes + | _UByteCodes + | _UShortCodes + | _UIntCCodes + | _LongCodes + | _ULongLongCodes + | _UIntPCodes + | _UIntCodes +) +_DTypeLikeInt: TypeAlias = ( + type[int] + | type[np.signedinteger[Any]] + | np.dtype[np.signedinteger[Any]] + | _SupportsDType[np.dtype[np.signedinteger[Any]]] + | _Int8Codes + | _Int16Codes + | _Int32Codes + | _Int64Codes + | _ByteCodes + | _ShortCodes + | _IntCCodes + | _LongCodes + | _LongLongCodes + | _IntPCodes + | _IntCodes +) +_DTypeLikeFloat: TypeAlias = ( + type[float] + | type[np.floating[Any]] + | np.dtype[np.floating[Any]] + | _SupportsDType[np.dtype[np.floating[Any]]] + | _Float16Codes + | _Float32Codes + | _Float64Codes + | _HalfCodes + | _SingleCodes + | _DoubleCodes + | _LongDoubleCodes +) +_DTypeLikeComplex: TypeAlias = ( + type[complex] + | type[np.complexfloating[Any]] + | np.dtype[np.complexfloating[Any]] + | _SupportsDType[np.dtype[np.complexfloating[Any]]] + | _Complex64Codes + | _Complex128Codes + | _CSingleCodes + | _CDoubleCodes + | _CLongDoubleCodes +) +_DTypeLikeDT64: TypeAlias = ( + type[np.timedelta64] + | np.dtype[np.timedelta64] + | _SupportsDType[np.dtype[np.timedelta64]] + | _TD64Codes +) +_DTypeLikeTD64: TypeAlias = ( + type[np.datetime64] + | np.dtype[np.datetime64] + | _SupportsDType[np.dtype[np.datetime64]] + | _DT64Codes +) +_DTypeLikeStr: TypeAlias = ( + type[str] + | type[np.str_] + | np.dtype[np.str_] + | _SupportsDType[np.dtype[np.str_]] + | _StrCodes +) +_DTypeLikeBytes: TypeAlias = ( + type[bytes] + | type[np.bytes_] + | np.dtype[np.bytes_] + | _SupportsDType[np.dtype[np.bytes_]] + | _BytesCodes +) +_DTypeLikeVoid: TypeAlias = ( + type[np.void] + | np.dtype[np.void] + | _SupportsDType[np.dtype[np.void]] + | _VoidCodes + | _VoidDTypeLike +) +_DTypeLikeObject: TypeAlias = ( + type + | np.dtype[np.object_] + | _SupportsDType[np.dtype[np.object_]] + | _ObjectCodes +) + +_DTypeLikeComplex_co: TypeAlias = ( + _DTypeLikeBool + | _DTypeLikeUInt + | _DTypeLikeInt + | _DTypeLikeFloat + | _DTypeLikeComplex +) diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_extended_precision.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_extended_precision.py new file mode 100644 index 0000000000000000000000000000000000000000..7246b47d0ee1724f5697ec3e80965f6f5ec48330 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_extended_precision.py @@ -0,0 +1,27 @@ +"""A module with platform-specific extended precision +`numpy.number` subclasses. + +The subclasses are defined here (instead of ``__init__.pyi``) such +that they can be imported conditionally via the numpy's mypy plugin. +""" + +import numpy as np +from . import ( + _80Bit, + _96Bit, + _128Bit, + _256Bit, +) + +uint128 = np.unsignedinteger[_128Bit] +uint256 = np.unsignedinteger[_256Bit] +int128 = np.signedinteger[_128Bit] +int256 = np.signedinteger[_256Bit] +float80 = np.floating[_80Bit] +float96 = np.floating[_96Bit] +float128 = np.floating[_128Bit] +float256 = np.floating[_256Bit] +complex160 = np.complexfloating[_80Bit, _80Bit] +complex192 = np.complexfloating[_96Bit, _96Bit] +complex256 = np.complexfloating[_128Bit, _128Bit] +complex512 = np.complexfloating[_256Bit, _256Bit] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nbit.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nbit.py new file mode 100644 index 0000000000000000000000000000000000000000..70cfdede8025790a08b516b466a58c6dc34af68a --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nbit.py @@ -0,0 +1,19 @@ +"""A module with the precisions of platform-specific `~numpy.number`s.""" + +from typing import TypeAlias +from ._nbit_base import _8Bit, _16Bit, _32Bit, _64Bit, _96Bit, _128Bit + + +# To-be replaced with a `npt.NBitBase` subclass by numpy's mypy plugin +_NBitByte: TypeAlias = _8Bit +_NBitShort: TypeAlias = _16Bit +_NBitIntC: TypeAlias = _32Bit +_NBitIntP: TypeAlias = _32Bit | _64Bit +_NBitInt: TypeAlias = _NBitIntP +_NBitLong: TypeAlias = _32Bit | _64Bit +_NBitLongLong: TypeAlias = _64Bit + +_NBitHalf: TypeAlias = _16Bit +_NBitSingle: TypeAlias = _32Bit +_NBitDouble: TypeAlias = _64Bit +_NBitLongDouble: TypeAlias = _64Bit | _96Bit | _128Bit diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nbit_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nbit_base.py new file mode 100644 index 0000000000000000000000000000000000000000..4f764757c4ea6e421d509dabc94e72b1ccea8b73 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nbit_base.py @@ -0,0 +1,100 @@ +"""A module with the precisions of generic `~numpy.number` types.""" +from .._utils import set_module +from typing import final + + +@final # Disallow the creation of arbitrary `NBitBase` subclasses +@set_module("numpy.typing") +class NBitBase: + """ + A type representing `numpy.number` precision during static type checking. + + Used exclusively for the purpose static type checking, `NBitBase` + represents the base of a hierarchical set of subclasses. + Each subsequent subclass is herein used for representing a lower level + of precision, *e.g.* ``64Bit > 32Bit > 16Bit``. + + .. versionadded:: 1.20 + + Examples + -------- + Below is a typical usage example: `NBitBase` is herein used for annotating + a function that takes a float and integer of arbitrary precision + as arguments and returns a new float of whichever precision is largest + (*e.g.* ``np.float16 + np.int64 -> np.float64``). + + .. code-block:: python + + >>> from __future__ import annotations + >>> from typing import TypeVar, TYPE_CHECKING + >>> import numpy as np + >>> import numpy.typing as npt + + >>> S = TypeVar("S", bound=npt.NBitBase) + >>> T = TypeVar("T", bound=npt.NBitBase) + + >>> def add(a: np.floating[S], b: np.integer[T]) -> np.floating[S | T]: + ... return a + b + + >>> a = np.float16() + >>> b = np.int64() + >>> out = add(a, b) + + >>> if TYPE_CHECKING: + ... reveal_locals() + ... # note: Revealed local types are: + ... # note: a: numpy.floating[numpy.typing._16Bit*] + ... # note: b: numpy.signedinteger[numpy.typing._64Bit*] + ... # note: out: numpy.floating[numpy.typing._64Bit*] + + """ + + def __init_subclass__(cls) -> None: + allowed_names = { + "NBitBase", "_256Bit", "_128Bit", "_96Bit", "_80Bit", + "_64Bit", "_32Bit", "_16Bit", "_8Bit", + } + if cls.__name__ not in allowed_names: + raise TypeError('cannot inherit from final class "NBitBase"') + super().__init_subclass__() + +@final +@set_module("numpy._typing") +# Silence errors about subclassing a `@final`-decorated class +class _256Bit(NBitBase): # type: ignore[misc] + pass + +@final +@set_module("numpy._typing") +class _128Bit(_256Bit): # type: ignore[misc] + pass + +@final +@set_module("numpy._typing") +class _96Bit(_128Bit): # type: ignore[misc] + pass + +@final +@set_module("numpy._typing") +class _80Bit(_96Bit): # type: ignore[misc] + pass + +@final +@set_module("numpy._typing") +class _64Bit(_80Bit): # type: ignore[misc] + pass + +@final +@set_module("numpy._typing") +class _32Bit(_64Bit): # type: ignore[misc] + pass + +@final +@set_module("numpy._typing") +class _16Bit(_32Bit): # type: ignore[misc] + pass + +@final +@set_module("numpy._typing") +class _8Bit(_16Bit): # type: ignore[misc] + pass diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nested_sequence.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nested_sequence.py new file mode 100644 index 0000000000000000000000000000000000000000..23667fd46d8953a12345c19132164d071461521e --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_nested_sequence.py @@ -0,0 +1,89 @@ +"""A module containing the `_NestedSequence` protocol.""" + +from __future__ import annotations + +from typing import ( + Any, + TypeVar, + Protocol, + runtime_checkable, + TYPE_CHECKING, +) + +if TYPE_CHECKING: + from collections.abc import Iterator + +__all__ = ["_NestedSequence"] + +_T_co = TypeVar("_T_co", covariant=True) + + +@runtime_checkable +class _NestedSequence(Protocol[_T_co]): + """A protocol for representing nested sequences. + + Warning + ------- + `_NestedSequence` currently does not work in combination with typevars, + *e.g.* ``def func(a: _NestedSequnce[T]) -> T: ...``. + + See Also + -------- + collections.abc.Sequence + ABCs for read-only and mutable :term:`sequences`. + + Examples + -------- + .. code-block:: python + + >>> from __future__ import annotations + + >>> from typing import TYPE_CHECKING + >>> import numpy as np + >>> from numpy._typing import _NestedSequence + + >>> def get_dtype(seq: _NestedSequence[float]) -> np.dtype[np.float64]: + ... return np.asarray(seq).dtype + + >>> a = get_dtype([1.0]) + >>> b = get_dtype([[1.0]]) + >>> c = get_dtype([[[1.0]]]) + >>> d = get_dtype([[[[1.0]]]]) + + >>> if TYPE_CHECKING: + ... reveal_locals() + ... # note: Revealed local types are: + ... # note: a: numpy.dtype[numpy.floating[numpy._typing._64Bit]] + ... # note: b: numpy.dtype[numpy.floating[numpy._typing._64Bit]] + ... # note: c: numpy.dtype[numpy.floating[numpy._typing._64Bit]] + ... # note: d: numpy.dtype[numpy.floating[numpy._typing._64Bit]] + + """ + + def __len__(self, /) -> int: + """Implement ``len(self)``.""" + raise NotImplementedError + + def __getitem__(self, index: int, /) -> _T_co | _NestedSequence[_T_co]: + """Implement ``self[x]``.""" + raise NotImplementedError + + def __contains__(self, x: object, /) -> bool: + """Implement ``x in self``.""" + raise NotImplementedError + + def __iter__(self, /) -> Iterator[_T_co | _NestedSequence[_T_co]]: + """Implement ``iter(self)``.""" + raise NotImplementedError + + def __reversed__(self, /) -> Iterator[_T_co | _NestedSequence[_T_co]]: + """Implement ``reversed(self)``.""" + raise NotImplementedError + + def count(self, value: Any, /) -> int: + """Return the number of occurrences of `value`.""" + raise NotImplementedError + + def index(self, value: Any, /) -> int: + """Return the first index of `value`.""" + raise NotImplementedError diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_scalars.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_scalars.py new file mode 100644 index 0000000000000000000000000000000000000000..97316d0209baddb5bd6c6038087a6eaf98bd0c52 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_scalars.py @@ -0,0 +1,27 @@ +from typing import Any, TypeAlias + +import numpy as np + +# NOTE: `_StrLike_co` and `_BytesLike_co` are pointless, as `np.str_` and +# `np.bytes_` are already subclasses of their builtin counterpart + +_CharLike_co: TypeAlias = str | bytes + +# The 6 `Like_co` type-aliases below represent all scalars that can be +# coerced into `` (with the casting rule `same_kind`) +_BoolLike_co: TypeAlias = bool | np.bool +_UIntLike_co: TypeAlias = np.unsignedinteger[Any] | _BoolLike_co +_IntLike_co: TypeAlias = int | np.integer[Any] | _BoolLike_co +_FloatLike_co: TypeAlias = float | np.floating[Any] | _IntLike_co +_ComplexLike_co: TypeAlias = ( + complex + | np.complexfloating[Any, Any] + | _FloatLike_co +) +_TD64Like_co: TypeAlias = np.timedelta64 | _IntLike_co + +_NumberLike_co: TypeAlias = int | float | complex | np.number[Any] | np.bool +_ScalarLike_co: TypeAlias = int | float | complex | str | bytes | np.generic + +# `_VoidLike_co` is technically not a scalar, but it's close enough +_VoidLike_co: TypeAlias = tuple[Any, ...] | np.void diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_shape.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_shape.py new file mode 100644 index 0000000000000000000000000000000000000000..2b854d65153ace1a17b16d132dc6b263fadd1a0c --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_shape.py @@ -0,0 +1,7 @@ +from collections.abc import Sequence +from typing import SupportsIndex, TypeAlias + +_Shape: TypeAlias = tuple[int, ...] + +# Anything that can be coerced to a shape tuple +_ShapeLike: TypeAlias = SupportsIndex | Sequence[SupportsIndex] diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_ufunc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_ufunc.py new file mode 100644 index 0000000000000000000000000000000000000000..d0573c8f5463e14d24286dba24f6d658445416b1 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_ufunc.py @@ -0,0 +1,7 @@ +from .. import ufunc + +_UFunc_Nin1_Nout1 = ufunc +_UFunc_Nin2_Nout1 = ufunc +_UFunc_Nin1_Nout2 = ufunc +_UFunc_Nin2_Nout2 = ufunc +_GUFunc_Nin2_Nout1 = ufunc diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_ufunc.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_ufunc.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b5ac0ff635dd61b06cc99b31a3e132c49b7711e9 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_typing/_ufunc.pyi @@ -0,0 +1,942 @@ +"""A module with private type-check-only `numpy.ufunc` subclasses. + +The signatures of the ufuncs are too varied to reasonably type +with a single class. So instead, `ufunc` has been expanded into +four private subclasses, one for each combination of +`~ufunc.nin` and `~ufunc.nout`. +""" + +from typing import ( + Any, + Generic, + Literal, + NoReturn, + Protocol, + SupportsIndex, + TypeAlias, + TypedDict, + TypeVar, + overload, + type_check_only, +) + +from typing_extensions import LiteralString, Unpack + +import numpy as np +from numpy import _CastingKind, _OrderKACF, ufunc +from numpy.typing import NDArray + +from ._array_like import ArrayLike, _ArrayLikeBool_co, _ArrayLikeInt_co +from ._dtype_like import DTypeLike +from ._scalars import _ScalarLike_co +from ._shape import _ShapeLike + +_T = TypeVar("_T") +_2Tuple: TypeAlias = tuple[_T, _T] +_3Tuple: TypeAlias = tuple[_T, _T, _T] +_4Tuple: TypeAlias = tuple[_T, _T, _T, _T] + +_2PTuple: TypeAlias = tuple[_T, _T, Unpack[tuple[_T, ...]]] +_3PTuple: TypeAlias = tuple[_T, _T, _T, Unpack[tuple[_T, ...]]] +_4PTuple: TypeAlias = tuple[_T, _T, _T, _T, Unpack[tuple[_T, ...]]] + +_NTypes = TypeVar("_NTypes", bound=int, covariant=True) +_IDType = TypeVar("_IDType", covariant=True) +_NameType = TypeVar("_NameType", bound=LiteralString, covariant=True) +_Signature = TypeVar("_Signature", bound=LiteralString, covariant=True) + +_NIn = TypeVar("_NIn", bound=int, covariant=True) +_NOut = TypeVar("_NOut", bound=int, covariant=True) +_ReturnType_co = TypeVar("_ReturnType_co", covariant=True) +_ArrayType = TypeVar("_ArrayType", bound=np.ndarray[Any, Any]) + + +@type_check_only +class _SupportsArrayUFunc(Protocol): + def __array_ufunc__( + self, + ufunc: ufunc, + method: Literal["__call__", "reduce", "reduceat", "accumulate", "outer", "at"], + *inputs: Any, + **kwargs: Any, + ) -> Any: ... + +@type_check_only +class _UFunc3Kwargs(TypedDict, total=False): + where: _ArrayLikeBool_co | None + casting: _CastingKind + order: _OrderKACF + subok: bool + signature: _3Tuple[str | None] | str | None + +# NOTE: `reduce`, `accumulate`, `reduceat` and `outer` raise a ValueError for +# ufuncs that don't accept two input arguments and return one output argument. +# In such cases the respective methods return `NoReturn` + +# NOTE: Similarly, `at` won't be defined for ufuncs that return +# multiple outputs; in such cases `at` is typed to return `NoReturn` + +# NOTE: If 2 output types are returned then `out` must be a +# 2-tuple of arrays. Otherwise `None` or a plain array are also acceptable + +# pyright: reportIncompatibleMethodOverride=false + +@type_check_only +class _UFunc_Nin1_Nout1(ufunc, Generic[_NameType, _NTypes, _IDType]): # type: ignore[misc] + @property + def __name__(self) -> _NameType: ... + @property + def __qualname__(self) -> _NameType: ... + @property + def ntypes(self) -> _NTypes: ... + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> Literal[1]: ... + @property + def nout(self) -> Literal[1]: ... + @property + def nargs(self) -> Literal[2]: ... + @property + def signature(self) -> None: ... + + @overload + def __call__( + self, + __x1: _ScalarLike_co, + out: None = ..., + *, + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _2Tuple[None | str] = ..., + ) -> Any: ... + @overload + def __call__( + self, + __x1: ArrayLike, + out: None | NDArray[Any] | tuple[NDArray[Any]] = ..., + *, + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _2Tuple[None | str] = ..., + ) -> NDArray[Any]: ... + @overload + def __call__( + self, + __x1: _SupportsArrayUFunc, + out: None | NDArray[Any] | tuple[NDArray[Any]] = ..., + *, + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _2Tuple[None | str] = ..., + ) -> Any: ... + + def at( + self, + a: _SupportsArrayUFunc, + indices: _ArrayLikeInt_co, + /, + ) -> None: ... + + def reduce(self, *args, **kwargs) -> NoReturn: ... + def accumulate(self, *args, **kwargs) -> NoReturn: ... + def reduceat(self, *args, **kwargs) -> NoReturn: ... + def outer(self, *args, **kwargs) -> NoReturn: ... + +@type_check_only +class _UFunc_Nin2_Nout1(ufunc, Generic[_NameType, _NTypes, _IDType]): # type: ignore[misc] + @property + def __name__(self) -> _NameType: ... + @property + def __qualname__(self) -> _NameType: ... + @property + def ntypes(self) -> _NTypes: ... + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> Literal[2]: ... + @property + def nout(self) -> Literal[1]: ... + @property + def nargs(self) -> Literal[3]: ... + @property + def signature(self) -> None: ... + + @overload # (scalar, scalar) -> scalar + def __call__( + self, + x1: _ScalarLike_co, + x2: _ScalarLike_co, + /, + out: None = None, + *, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> Any: ... + @overload # (array-like, array) -> array + def __call__( + self, + x1: ArrayLike, + x2: NDArray[np.generic], + /, + out: NDArray[np.generic] | tuple[NDArray[np.generic]] | None = None, + *, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any]: ... + @overload # (array, array-like) -> array + def __call__( + self, + x1: NDArray[np.generic], + x2: ArrayLike, + /, + out: NDArray[np.generic] | tuple[NDArray[np.generic]] | None = None, + *, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any]: ... + @overload # (array-like, array-like, out=array) -> array + def __call__( + self, + x1: ArrayLike, + x2: ArrayLike, + /, + out: NDArray[np.generic] | tuple[NDArray[np.generic]], + *, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any]: ... + @overload # (array-like, array-like) -> array | scalar + def __call__( + self, + x1: ArrayLike, + x2: ArrayLike, + /, + out: NDArray[np.generic] | tuple[NDArray[np.generic]] | None = None, + *, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any] | Any: ... + + def at( + self, + a: NDArray[Any], + indices: _ArrayLikeInt_co, + b: ArrayLike, + /, + ) -> None: ... + + def reduce( + self, + array: ArrayLike, + axis: None | _ShapeLike = ..., + dtype: DTypeLike = ..., + out: None | NDArray[Any] = ..., + keepdims: bool = ..., + initial: Any = ..., + where: _ArrayLikeBool_co = ..., + ) -> Any: ... + + def accumulate( + self, + array: ArrayLike, + axis: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: None | NDArray[Any] = ..., + ) -> NDArray[Any]: ... + + def reduceat( + self, + array: ArrayLike, + indices: _ArrayLikeInt_co, + axis: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: None | NDArray[Any] = ..., + ) -> NDArray[Any]: ... + + @overload # (scalar, scalar) -> scalar + def outer( + self, + A: _ScalarLike_co, + B: _ScalarLike_co, + /, + *, + out: None = None, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> Any: ... + @overload # (array-like, array) -> array + def outer( + self, + A: ArrayLike, + B: NDArray[np.generic], + /, + *, + out: NDArray[np.generic] | tuple[NDArray[np.generic]] | None = None, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any]: ... + @overload # (array, array-like) -> array + def outer( + self, + A: NDArray[np.generic], + B: ArrayLike, + /, + *, + out: NDArray[np.generic] | tuple[NDArray[np.generic]] | None = None, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any]: ... + @overload # (array-like, array-like, out=array) -> array + def outer( + self, + A: ArrayLike, + B: ArrayLike, + /, + *, + out: NDArray[np.generic] | tuple[NDArray[np.generic]], + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any]: ... + @overload # (array-like, array-like) -> array | scalar + def outer( + self, + A: ArrayLike, + B: ArrayLike, + /, + *, + out: NDArray[np.generic] | tuple[NDArray[np.generic]] | None = None, + dtype: DTypeLike | None = None, + **kwds: Unpack[_UFunc3Kwargs], + ) -> NDArray[Any] | Any: ... + +@type_check_only +class _UFunc_Nin1_Nout2(ufunc, Generic[_NameType, _NTypes, _IDType]): # type: ignore[misc] + @property + def __name__(self) -> _NameType: ... + @property + def __qualname__(self) -> _NameType: ... + @property + def ntypes(self) -> _NTypes: ... + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> Literal[1]: ... + @property + def nout(self) -> Literal[2]: ... + @property + def nargs(self) -> Literal[3]: ... + @property + def signature(self) -> None: ... + + @overload + def __call__( + self, + __x1: _ScalarLike_co, + __out1: None = ..., + __out2: None = ..., + *, + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _3Tuple[None | str] = ..., + ) -> _2Tuple[Any]: ... + @overload + def __call__( + self, + __x1: ArrayLike, + __out1: None | NDArray[Any] = ..., + __out2: None | NDArray[Any] = ..., + *, + out: _2Tuple[NDArray[Any]] = ..., + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _3Tuple[None | str] = ..., + ) -> _2Tuple[NDArray[Any]]: ... + @overload + def __call__( + self, + __x1: _SupportsArrayUFunc, + __out1: None | NDArray[Any] = ..., + __out2: None | NDArray[Any] = ..., + *, + out: _2Tuple[NDArray[Any]] = ..., + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _3Tuple[None | str] = ..., + ) -> _2Tuple[Any]: ... + + def at(self, *args, **kwargs) -> NoReturn: ... + def reduce(self, *args, **kwargs) -> NoReturn: ... + def accumulate(self, *args, **kwargs) -> NoReturn: ... + def reduceat(self, *args, **kwargs) -> NoReturn: ... + def outer(self, *args, **kwargs) -> NoReturn: ... + +@type_check_only +class _UFunc_Nin2_Nout2(ufunc, Generic[_NameType, _NTypes, _IDType]): # type: ignore[misc] + @property + def __name__(self) -> _NameType: ... + @property + def __qualname__(self) -> _NameType: ... + @property + def ntypes(self) -> _NTypes: ... + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> Literal[2]: ... + @property + def nout(self) -> Literal[2]: ... + @property + def nargs(self) -> Literal[4]: ... + @property + def signature(self) -> None: ... + + @overload + def __call__( + self, + __x1: _ScalarLike_co, + __x2: _ScalarLike_co, + __out1: None = ..., + __out2: None = ..., + *, + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _4Tuple[None | str] = ..., + ) -> _2Tuple[Any]: ... + @overload + def __call__( + self, + __x1: ArrayLike, + __x2: ArrayLike, + __out1: None | NDArray[Any] = ..., + __out2: None | NDArray[Any] = ..., + *, + out: _2Tuple[NDArray[Any]] = ..., + where: None | _ArrayLikeBool_co = ..., + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _4Tuple[None | str] = ..., + ) -> _2Tuple[NDArray[Any]]: ... + + def at(self, *args, **kwargs) -> NoReturn: ... + def reduce(self, *args, **kwargs) -> NoReturn: ... + def accumulate(self, *args, **kwargs) -> NoReturn: ... + def reduceat(self, *args, **kwargs) -> NoReturn: ... + def outer(self, *args, **kwargs) -> NoReturn: ... + +@type_check_only +class _GUFunc_Nin2_Nout1(ufunc, Generic[_NameType, _NTypes, _IDType, _Signature]): # type: ignore[misc] + @property + def __name__(self) -> _NameType: ... + @property + def __qualname__(self) -> _NameType: ... + @property + def ntypes(self) -> _NTypes: ... + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> Literal[2]: ... + @property + def nout(self) -> Literal[1]: ... + @property + def nargs(self) -> Literal[3]: ... + @property + def signature(self) -> _Signature: ... + + # Scalar for 1D array-likes; ndarray otherwise + @overload + def __call__( + self, + __x1: ArrayLike, + __x2: ArrayLike, + out: None = ..., + *, + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _3Tuple[None | str] = ..., + axes: list[_2Tuple[SupportsIndex]] = ..., + ) -> Any: ... + @overload + def __call__( + self, + __x1: ArrayLike, + __x2: ArrayLike, + out: NDArray[Any] | tuple[NDArray[Any]], + *, + casting: _CastingKind = ..., + order: _OrderKACF = ..., + dtype: DTypeLike = ..., + subok: bool = ..., + signature: str | _3Tuple[None | str] = ..., + axes: list[_2Tuple[SupportsIndex]] = ..., + ) -> NDArray[Any]: ... + + def at(self, *args, **kwargs) -> NoReturn: ... + def reduce(self, *args, **kwargs) -> NoReturn: ... + def accumulate(self, *args, **kwargs) -> NoReturn: ... + def reduceat(self, *args, **kwargs) -> NoReturn: ... + def outer(self, *args, **kwargs) -> NoReturn: ... + +@type_check_only +class _PyFunc_Kwargs_Nargs2(TypedDict, total=False): + where: None | _ArrayLikeBool_co + casting: _CastingKind + order: _OrderKACF + dtype: DTypeLike + subok: bool + signature: str | tuple[DTypeLike, DTypeLike] + +@type_check_only +class _PyFunc_Kwargs_Nargs3(TypedDict, total=False): + where: None | _ArrayLikeBool_co + casting: _CastingKind + order: _OrderKACF + dtype: DTypeLike + subok: bool + signature: str | tuple[DTypeLike, DTypeLike, DTypeLike] + +@type_check_only +class _PyFunc_Kwargs_Nargs3P(TypedDict, total=False): + where: None | _ArrayLikeBool_co + casting: _CastingKind + order: _OrderKACF + dtype: DTypeLike + subok: bool + signature: str | _3PTuple[DTypeLike] + +@type_check_only +class _PyFunc_Kwargs_Nargs4P(TypedDict, total=False): + where: None | _ArrayLikeBool_co + casting: _CastingKind + order: _OrderKACF + dtype: DTypeLike + subok: bool + signature: str | _4PTuple[DTypeLike] + +@type_check_only +class _PyFunc_Nin1_Nout1(ufunc, Generic[_ReturnType_co, _IDType]): # type: ignore[misc] + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> Literal[1]: ... + @property + def nout(self) -> Literal[1]: ... + @property + def nargs(self) -> Literal[2]: ... + @property + def ntypes(self) -> Literal[1]: ... + @property + def signature(self) -> None: ... + + @overload + def __call__( + self, + x1: _ScalarLike_co, + /, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs2], + ) -> _ReturnType_co: ... + @overload + def __call__( + self, + x1: ArrayLike, + /, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs2], + ) -> _ReturnType_co | NDArray[np.object_]: ... + @overload + def __call__( + self, + x1: ArrayLike, + /, + out: _ArrayType | tuple[_ArrayType], + **kwargs: Unpack[_PyFunc_Kwargs_Nargs2], + ) -> _ArrayType: ... + @overload + def __call__( + self, + x1: _SupportsArrayUFunc, + /, + out: None | NDArray[Any] | tuple[NDArray[Any]] = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs2], + ) -> Any: ... + + def at(self, a: _SupportsArrayUFunc, ixs: _ArrayLikeInt_co, /) -> None: ... + def reduce(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def accumulate(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def reduceat(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def outer(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + +@type_check_only +class _PyFunc_Nin2_Nout1(ufunc, Generic[_ReturnType_co, _IDType]): # type: ignore[misc] + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> Literal[2]: ... + @property + def nout(self) -> Literal[1]: ... + @property + def nargs(self) -> Literal[3]: ... + @property + def ntypes(self) -> Literal[1]: ... + @property + def signature(self) -> None: ... + + @overload + def __call__( + self, + x1: _ScalarLike_co, + x2: _ScalarLike_co, + /, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> _ReturnType_co: ... + @overload + def __call__( + self, + x1: ArrayLike, + x2: ArrayLike, + /, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> _ReturnType_co | NDArray[np.object_]: ... + @overload + def __call__( + self, + x1: ArrayLike, + x2: ArrayLike, + /, + out: _ArrayType | tuple[_ArrayType], + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> _ArrayType: ... + @overload + def __call__( + self, + x1: _SupportsArrayUFunc, + x2: _SupportsArrayUFunc | ArrayLike, + /, + out: None | NDArray[Any] | tuple[NDArray[Any]] = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> Any: ... + @overload + def __call__( + self, + x1: ArrayLike, + x2: _SupportsArrayUFunc, + /, + out: None | NDArray[Any] | tuple[NDArray[Any]] = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> Any: ... + + def at(self, a: _SupportsArrayUFunc, ixs: _ArrayLikeInt_co, b: ArrayLike, /) -> None: ... + + @overload + def reduce( + self, + array: ArrayLike, + axis: None | _ShapeLike, + dtype: DTypeLike, + out: _ArrayType, + /, + keepdims: bool = ..., + initial: _ScalarLike_co = ..., + where: _ArrayLikeBool_co = ..., + ) -> _ArrayType: ... + @overload + def reduce( + self, + /, + array: ArrayLike, + axis: None | _ShapeLike = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayType | tuple[_ArrayType], + keepdims: bool = ..., + initial: _ScalarLike_co = ..., + where: _ArrayLikeBool_co = ..., + ) -> _ArrayType: ... + @overload + def reduce( + self, + /, + array: ArrayLike, + axis: None | _ShapeLike = ..., + dtype: DTypeLike = ..., + out: None = ..., + *, + keepdims: Literal[True], + initial: _ScalarLike_co = ..., + where: _ArrayLikeBool_co = ..., + ) -> NDArray[np.object_]: ... + @overload + def reduce( + self, + /, + array: ArrayLike, + axis: None | _ShapeLike = ..., + dtype: DTypeLike = ..., + out: None = ..., + keepdims: bool = ..., + initial: _ScalarLike_co = ..., + where: _ArrayLikeBool_co = ..., + ) -> _ReturnType_co | NDArray[np.object_]: ... + + @overload + def reduceat( + self, + array: ArrayLike, + indices: _ArrayLikeInt_co, + axis: SupportsIndex, + dtype: DTypeLike, + out: _ArrayType, + /, + ) -> _ArrayType: ... + @overload + def reduceat( + self, + /, + array: ArrayLike, + indices: _ArrayLikeInt_co, + axis: SupportsIndex = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayType | tuple[_ArrayType], + ) -> _ArrayType: ... + @overload + def reduceat( + self, + /, + array: ArrayLike, + indices: _ArrayLikeInt_co, + axis: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: None = ..., + ) -> NDArray[np.object_]: ... + @overload + def reduceat( + self, + /, + array: _SupportsArrayUFunc, + indices: _ArrayLikeInt_co, + axis: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: None | NDArray[Any] | tuple[NDArray[Any]] = ..., + ) -> Any: ... + + @overload + def accumulate( + self, + array: ArrayLike, + axis: SupportsIndex, + dtype: DTypeLike, + out: _ArrayType, + /, + ) -> _ArrayType: ... + @overload + def accumulate( + self, + array: ArrayLike, + axis: SupportsIndex = ..., + dtype: DTypeLike = ..., + *, + out: _ArrayType | tuple[_ArrayType], + ) -> _ArrayType: ... + @overload + def accumulate( + self, + /, + array: ArrayLike, + axis: SupportsIndex = ..., + dtype: DTypeLike = ..., + out: None = ..., + ) -> NDArray[np.object_]: ... + + @overload + def outer( + self, + A: _ScalarLike_co, + B: _ScalarLike_co, + /, *, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> _ReturnType_co: ... + @overload + def outer( + self, + A: ArrayLike, + B: ArrayLike, + /, *, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> _ReturnType_co | NDArray[np.object_]: ... + @overload + def outer( + self, + A: ArrayLike, + B: ArrayLike, + /, *, + out: _ArrayType, + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> _ArrayType: ... + @overload + def outer( + self, + A: _SupportsArrayUFunc, + B: _SupportsArrayUFunc | ArrayLike, + /, *, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> Any: ... + @overload + def outer( + self, + A: _ScalarLike_co, + B: _SupportsArrayUFunc | ArrayLike, + /, *, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3], + ) -> Any: ... + +@type_check_only +class _PyFunc_Nin3P_Nout1(ufunc, Generic[_ReturnType_co, _IDType, _NIn]): # type: ignore[misc] + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> _NIn: ... + @property + def nout(self) -> Literal[1]: ... + @property + def ntypes(self) -> Literal[1]: ... + @property + def signature(self) -> None: ... + + @overload + def __call__( + self, + x1: _ScalarLike_co, + x2: _ScalarLike_co, + x3: _ScalarLike_co, + /, + *xs: _ScalarLike_co, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs4P], + ) -> _ReturnType_co: ... + @overload + def __call__( + self, + x1: ArrayLike, + x2: ArrayLike, + x3: ArrayLike, + /, + *xs: ArrayLike, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs4P], + ) -> _ReturnType_co | NDArray[np.object_]: ... + @overload + def __call__( + self, + x1: ArrayLike, + x2: ArrayLike, + x3: ArrayLike, + /, + *xs: ArrayLike, + out: _ArrayType | tuple[_ArrayType], + **kwargs: Unpack[_PyFunc_Kwargs_Nargs4P], + ) -> _ArrayType: ... + @overload + def __call__( + self, + x1: _SupportsArrayUFunc | ArrayLike, + x2: _SupportsArrayUFunc | ArrayLike, + x3: _SupportsArrayUFunc | ArrayLike, + /, + *xs: _SupportsArrayUFunc | ArrayLike, + out: None | NDArray[Any] | tuple[NDArray[Any]] = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs4P], + ) -> Any: ... + + def at(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def reduce(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def accumulate(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def reduceat(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def outer(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + +@type_check_only +class _PyFunc_Nin1P_Nout2P(ufunc, Generic[_ReturnType_co, _IDType, _NIn, _NOut]): # type: ignore[misc] + @property + def identity(self) -> _IDType: ... + @property + def nin(self) -> _NIn: ... + @property + def nout(self) -> _NOut: ... + @property + def ntypes(self) -> Literal[1]: ... + @property + def signature(self) -> None: ... + + @overload + def __call__( + self, + x1: _ScalarLike_co, + /, + *xs: _ScalarLike_co, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3P], + ) -> _2PTuple[_ReturnType_co]: ... + @overload + def __call__( + self, + x1: ArrayLike, + /, + *xs: ArrayLike, + out: None = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3P], + ) -> _2PTuple[_ReturnType_co | NDArray[np.object_]]: ... + @overload + def __call__( + self, + x1: ArrayLike, + /, + *xs: ArrayLike, + out: _2PTuple[_ArrayType], + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3P], + ) -> _2PTuple[_ArrayType]: ... + @overload + def __call__( + self, + x1: _SupportsArrayUFunc | ArrayLike, + /, + *xs: _SupportsArrayUFunc | ArrayLike, + out: None | _2PTuple[NDArray[Any]] = ..., + **kwargs: Unpack[_PyFunc_Kwargs_Nargs3P], + ) -> Any: ... + + def at(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def reduce(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def accumulate(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def reduceat(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... + def outer(self, /, *args: Any, **kwargs: Any) -> NoReturn: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..ca3aacd84d5b7a884910eec177b9312fb8de1837 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/__init__.py @@ -0,0 +1,88 @@ +""" +This is a module for defining private helpers which do not depend on the +rest of NumPy. + +Everything in here must be self-contained so that it can be +imported anywhere else without creating circular imports. +If a utility requires the import of NumPy, it probably belongs +in ``numpy._core``. +""" + +import functools +import warnings +from ._convertions import asunicode, asbytes + + +def set_module(module): + """Private decorator for overriding __module__ on a function or class. + + Example usage:: + + @set_module('numpy') + def example(): + pass + + assert example.__module__ == 'numpy' + """ + def decorator(func): + if module is not None: + func.__module__ = module + return func + return decorator + + +def _rename_parameter(old_names, new_names, dep_version=None): + """ + Generate decorator for backward-compatible keyword renaming. + + Apply the decorator generated by `_rename_parameter` to functions with a + renamed parameter to maintain backward-compatibility. + + After decoration, the function behaves as follows: + If only the new parameter is passed into the function, behave as usual. + If only the old parameter is passed into the function (as a keyword), raise + a DeprecationWarning if `dep_version` is provided, and behave as usual + otherwise. + If both old and new parameters are passed into the function, raise a + DeprecationWarning if `dep_version` is provided, and raise the appropriate + TypeError (function got multiple values for argument). + + Parameters + ---------- + old_names : list of str + Old names of parameters + new_name : list of str + New names of parameters + dep_version : str, optional + Version of NumPy in which old parameter was deprecated in the format + 'X.Y.Z'. If supplied, the deprecation message will indicate that + support for the old parameter will be removed in version 'X.Y+2.Z' + + Notes + ----- + Untested with functions that accept *args. Probably won't work as written. + + """ + def decorator(fun): + @functools.wraps(fun) + def wrapper(*args, **kwargs): + __tracebackhide__ = True # Hide traceback for py.test + for old_name, new_name in zip(old_names, new_names): + if old_name in kwargs: + if dep_version: + end_version = dep_version.split('.') + end_version[1] = str(int(end_version[1]) + 2) + end_version = '.'.join(end_version) + msg = (f"Use of keyword argument `{old_name}` is " + f"deprecated and replaced by `{new_name}`. " + f"Support for `{old_name}` will be removed " + f"in NumPy {end_version}.") + warnings.warn(msg, DeprecationWarning, stacklevel=2) + if new_name in kwargs: + msg = (f"{fun.__name__}() got multiple values for " + f"argument now known as `{new_name}`") + raise TypeError(msg) + kwargs[new_name] = kwargs.pop(old_name) + return fun(*args, **kwargs) + return wrapper + return decorator diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ced45bfdeb44f8f7a26241ab4fb890f22a684e24 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/__init__.pyi @@ -0,0 +1,31 @@ +from collections.abc import Callable, Iterable +from typing import Protocol, overload, type_check_only + +from _typeshed import IdentityFunction +from typing_extensions import TypeVar + +from ._convertions import asbytes as asbytes +from ._convertions import asunicode as asunicode + +### + +_T = TypeVar("_T") +_HasModuleT = TypeVar("_HasModuleT", bound=_HasModule) + +@type_check_only +class _HasModule(Protocol): + __module__: str + +### + +@overload +def set_module(module: None) -> IdentityFunction: ... +@overload +def set_module(module: _HasModuleT) -> _HasModuleT: ... + +# +def _rename_parameter( + old_names: Iterable[str], + new_names: Iterable[str], + dep_version: str | None = None, +) -> Callable[[Callable[..., _T]], Callable[..., _T]]: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_convertions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_convertions.py new file mode 100644 index 0000000000000000000000000000000000000000..ab15a8ba019f1b6a40ac3f562897fa4581323efc --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_convertions.py @@ -0,0 +1,18 @@ +""" +A set of methods retained from np.compat module that +are still used across codebase. +""" + +__all__ = ["asunicode", "asbytes"] + + +def asunicode(s): + if isinstance(s, bytes): + return s.decode('latin1') + return str(s) + + +def asbytes(s): + if isinstance(s, bytes): + return s + return str(s).encode('latin1') diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_convertions.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_convertions.pyi new file mode 100644 index 0000000000000000000000000000000000000000..6cc599acc94f97f026c3f81a538c3d1766d450d3 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_convertions.pyi @@ -0,0 +1,4 @@ +__all__ = ["asbytes", "asunicode"] + +def asunicode(s: bytes | str) -> str: ... +def asbytes(s: bytes | str) -> str: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_inspect.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_inspect.py new file mode 100644 index 0000000000000000000000000000000000000000..c8805dddc014ff87ea5a4b8712c8449e00204c6d --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_inspect.py @@ -0,0 +1,191 @@ +"""Subset of inspect module from upstream python + +We use this instead of upstream because upstream inspect is slow to import, and +significantly contributes to numpy import times. Importing this copy has almost +no overhead. + +""" +import types + +__all__ = ['getargspec', 'formatargspec'] + +# ----------------------------------------------------------- type-checking +def ismethod(object): + """Return true if the object is an instance method. + + Instance method objects provide these attributes: + __doc__ documentation string + __name__ name with which this method was defined + im_class class object in which this method belongs + im_func function object containing implementation of method + im_self instance to which this method is bound, or None + + """ + return isinstance(object, types.MethodType) + +def isfunction(object): + """Return true if the object is a user-defined function. + + Function objects provide these attributes: + __doc__ documentation string + __name__ name with which this function was defined + func_code code object containing compiled function bytecode + func_defaults tuple of any default values for arguments + func_doc (same as __doc__) + func_globals global namespace in which this function was defined + func_name (same as __name__) + + """ + return isinstance(object, types.FunctionType) + +def iscode(object): + """Return true if the object is a code object. + + Code objects provide these attributes: + co_argcount number of arguments (not including * or ** args) + co_code string of raw compiled bytecode + co_consts tuple of constants used in the bytecode + co_filename name of file in which this code object was created + co_firstlineno number of first line in Python source code + co_flags bitmap: 1=optimized | 2=newlocals | 4=*arg | 8=**arg + co_lnotab encoded mapping of line numbers to bytecode indices + co_name name with which this code object was defined + co_names tuple of names of local variables + co_nlocals number of local variables + co_stacksize virtual machine stack space required + co_varnames tuple of names of arguments and local variables + + """ + return isinstance(object, types.CodeType) + +# ------------------------------------------------ argument list extraction +# These constants are from Python's compile.h. +CO_OPTIMIZED, CO_NEWLOCALS, CO_VARARGS, CO_VARKEYWORDS = 1, 2, 4, 8 + +def getargs(co): + """Get information about the arguments accepted by a code object. + + Three things are returned: (args, varargs, varkw), where 'args' is + a list of argument names (possibly containing nested lists), and + 'varargs' and 'varkw' are the names of the * and ** arguments or None. + + """ + + if not iscode(co): + raise TypeError('arg is not a code object') + + nargs = co.co_argcount + names = co.co_varnames + args = list(names[:nargs]) + + # The following acrobatics are for anonymous (tuple) arguments. + # Which we do not need to support, so remove to avoid importing + # the dis module. + for i in range(nargs): + if args[i][:1] in ['', '.']: + raise TypeError("tuple function arguments are not supported") + varargs = None + if co.co_flags & CO_VARARGS: + varargs = co.co_varnames[nargs] + nargs = nargs + 1 + varkw = None + if co.co_flags & CO_VARKEYWORDS: + varkw = co.co_varnames[nargs] + return args, varargs, varkw + +def getargspec(func): + """Get the names and default values of a function's arguments. + + A tuple of four things is returned: (args, varargs, varkw, defaults). + 'args' is a list of the argument names (it may contain nested lists). + 'varargs' and 'varkw' are the names of the * and ** arguments or None. + 'defaults' is an n-tuple of the default values of the last n arguments. + + """ + + if ismethod(func): + func = func.__func__ + if not isfunction(func): + raise TypeError('arg is not a Python function') + args, varargs, varkw = getargs(func.__code__) + return args, varargs, varkw, func.__defaults__ + +def getargvalues(frame): + """Get information about arguments passed into a particular frame. + + A tuple of four things is returned: (args, varargs, varkw, locals). + 'args' is a list of the argument names (it may contain nested lists). + 'varargs' and 'varkw' are the names of the * and ** arguments or None. + 'locals' is the locals dictionary of the given frame. + + """ + args, varargs, varkw = getargs(frame.f_code) + return args, varargs, varkw, frame.f_locals + +def joinseq(seq): + if len(seq) == 1: + return '(' + seq[0] + ',)' + else: + return '(' + ', '.join(seq) + ')' + +def strseq(object, convert, join=joinseq): + """Recursively walk a sequence, stringifying each element. + + """ + if type(object) in [list, tuple]: + return join([strseq(_o, convert, join) for _o in object]) + else: + return convert(object) + +def formatargspec(args, varargs=None, varkw=None, defaults=None, + formatarg=str, + formatvarargs=lambda name: '*' + name, + formatvarkw=lambda name: '**' + name, + formatvalue=lambda value: '=' + repr(value), + join=joinseq): + """Format an argument spec from the 4 values returned by getargspec. + + The first four arguments are (args, varargs, varkw, defaults). The + other four arguments are the corresponding optional formatting functions + that are called to turn names and values into strings. The ninth + argument is an optional function to format the sequence of arguments. + + """ + specs = [] + if defaults: + firstdefault = len(args) - len(defaults) + for i in range(len(args)): + spec = strseq(args[i], formatarg, join) + if defaults and i >= firstdefault: + spec = spec + formatvalue(defaults[i - firstdefault]) + specs.append(spec) + if varargs is not None: + specs.append(formatvarargs(varargs)) + if varkw is not None: + specs.append(formatvarkw(varkw)) + return '(' + ', '.join(specs) + ')' + +def formatargvalues(args, varargs, varkw, locals, + formatarg=str, + formatvarargs=lambda name: '*' + name, + formatvarkw=lambda name: '**' + name, + formatvalue=lambda value: '=' + repr(value), + join=joinseq): + """Format an argument spec from the 4 values returned by getargvalues. + + The first four arguments are (args, varargs, varkw, locals). The + next four arguments are the corresponding optional formatting functions + that are called to turn names and values into strings. The ninth + argument is an optional function to format the sequence of arguments. + + """ + def convert(name, locals=locals, + formatarg=formatarg, formatvalue=formatvalue): + return formatarg(name) + formatvalue(locals[name]) + specs = [strseq(arg, convert, join) for arg in args] + + if varargs: + specs.append(formatvarargs(varargs) + formatvalue(locals[varargs])) + if varkw: + specs.append(formatvarkw(varkw) + formatvalue(locals[varkw])) + return '(' + ', '.join(specs) + ')' diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_inspect.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_inspect.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ba0260d3a593d31521fd768d0bfc16c5b394c188 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_inspect.pyi @@ -0,0 +1,71 @@ +import types +from collections.abc import Callable, Mapping +from typing import Any, Final, TypeAlias, overload + +from _typeshed import SupportsLenAndGetItem +from typing_extensions import TypeIs, TypeVar + +__all__ = ["formatargspec", "getargspec"] + +### + +_T = TypeVar("_T") +_RT = TypeVar("_RT") + +_StrSeq: TypeAlias = SupportsLenAndGetItem[str] +_NestedSeq: TypeAlias = list[_T | _NestedSeq[_T]] | tuple[_T | _NestedSeq[_T], ...] + +_JoinFunc: TypeAlias = Callable[[list[_T]], _T] +_FormatFunc: TypeAlias = Callable[[_T], str] + +### + +CO_OPTIMIZED: Final = 1 +CO_NEWLOCALS: Final = 2 +CO_VARARGS: Final = 4 +CO_VARKEYWORDS: Final = 8 + +### + +def ismethod(object: object) -> TypeIs[types.MethodType]: ... +def isfunction(object: object) -> TypeIs[types.FunctionType]: ... +def iscode(object: object) -> TypeIs[types.CodeType]: ... + +### + +def getargs(co: types.CodeType) -> tuple[list[str], str | None, str | None]: ... +def getargspec(func: types.MethodType | types.FunctionType) -> tuple[list[str], str | None, str | None, tuple[Any, ...]]: ... +def getargvalues(frame: types.FrameType) -> tuple[list[str], str | None, str | None, dict[str, Any]]: ... + +# +def joinseq(seq: _StrSeq) -> str: ... + +# +@overload +def strseq(object: _NestedSeq[str], convert: Callable[[Any], Any], join: _JoinFunc[str] = ...) -> str: ... +@overload +def strseq(object: _NestedSeq[_T], convert: Callable[[_T], _RT], join: _JoinFunc[_RT]) -> _RT: ... + +# +def formatargspec( + args: _StrSeq, + varargs: str | None = None, + varkw: str | None = None, + defaults: SupportsLenAndGetItem[object] | None = None, + formatarg: _FormatFunc[str] = ..., # str + formatvarargs: _FormatFunc[str] = ..., # "*{}".format + formatvarkw: _FormatFunc[str] = ..., # "**{}".format + formatvalue: _FormatFunc[object] = ..., # "={!r}".format + join: _JoinFunc[str] = ..., # joinseq +) -> str: ... +def formatargvalues( + args: _StrSeq, + varargs: str | None, + varkw: str | None, + locals: Mapping[str, object] | None, + formatarg: _FormatFunc[str] = ..., # str + formatvarargs: _FormatFunc[str] = ..., # "*{}".format + formatvarkw: _FormatFunc[str] = ..., # "**{}".format + formatvalue: _FormatFunc[object] = ..., # "={!r}".format + join: _JoinFunc[str] = ..., # joinseq +) -> str: ... diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_pep440.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_pep440.py new file mode 100644 index 0000000000000000000000000000000000000000..73d0afb5e95f099f8b04253177e8a3ab3d80d0c4 --- /dev/null +++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_pep440.py @@ -0,0 +1,487 @@ +"""Utility to compare pep440 compatible version strings. + +The LooseVersion and StrictVersion classes that distutils provides don't +work; they don't recognize anything like alpha/beta/rc/dev versions. +""" + +# Copyright (c) Donald Stufft and individual contributors. +# All rights reserved. + +# Redistribution and use in source and binary forms, with or without +# modification, are permitted provided that the following conditions are met: + +# 1. Redistributions of source code must retain the above copyright notice, +# this list of conditions and the following disclaimer. + +# 2. Redistributions in binary form must reproduce the above copyright +# notice, this list of conditions and the following disclaimer in the +# documentation and/or other materials provided with the distribution. + +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +# ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE +# LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +# CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +# SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +# CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +# POSSIBILITY OF SUCH DAMAGE. + +import collections +import itertools +import re + + +__all__ = [ + "parse", "Version", "LegacyVersion", "InvalidVersion", "VERSION_PATTERN", +] + + +# BEGIN packaging/_structures.py + + +class Infinity: + def __repr__(self): + return "Infinity" + + def __hash__(self): + return hash(repr(self)) + + def __lt__(self, other): + return False + + def __le__(self, other): + return False + + def __eq__(self, other): + return isinstance(other, self.__class__) + + def __ne__(self, other): + return not isinstance(other, self.__class__) + + def __gt__(self, other): + return True + + def __ge__(self, other): + return True + + def __neg__(self): + return NegativeInfinity + + +Infinity = Infinity() + + +class NegativeInfinity: + def __repr__(self): + return "-Infinity" + + def __hash__(self): + return hash(repr(self)) + + def __lt__(self, other): + return True + + def __le__(self, other): + return True + + def __eq__(self, other): + return isinstance(other, self.__class__) + + def __ne__(self, other): + return not isinstance(other, self.__class__) + + def __gt__(self, other): + return False + + def __ge__(self, other): + return False + + def __neg__(self): + return Infinity + + +# BEGIN packaging/version.py + + +NegativeInfinity = NegativeInfinity() + +_Version = collections.namedtuple( + "_Version", + ["epoch", "release", "dev", "pre", "post", "local"], +) + + +def parse(version): + """ + Parse the given version string and return either a :class:`Version` object + or a :class:`LegacyVersion` object depending on if the given version is + a valid PEP 440 version or a legacy version. + """ + try: + return Version(version) + except InvalidVersion: + return LegacyVersion(version) + + +class InvalidVersion(ValueError): + """ + An invalid version was found, users should refer to PEP 440. + """ + + +class _BaseVersion: + + def __hash__(self): + return hash(self._key) + + def __lt__(self, other): + return self._compare(other, lambda s, o: s < o) + + def __le__(self, other): + return self._compare(other, lambda s, o: s <= o) + + def __eq__(self, other): + return self._compare(other, lambda s, o: s == o) + + def __ge__(self, other): + return self._compare(other, lambda s, o: s >= o) + + def __gt__(self, other): + return self._compare(other, lambda s, o: s > o) + + def __ne__(self, other): + return self._compare(other, lambda s, o: s != o) + + def _compare(self, other, method): + if not isinstance(other, _BaseVersion): + return NotImplemented + + return method(self._key, other._key) + + +class LegacyVersion(_BaseVersion): + + def __init__(self, version): + self._version = str(version) + self._key = _legacy_cmpkey(self._version) + + def __str__(self): + return self._version + + def __repr__(self): + return "".format(repr(str(self))) + + @property + def public(self): + return self._version + + @property + def base_version(self): + return self._version + + @property + def local(self): + return None + + @property + def is_prerelease(self): + return False + + @property + def is_postrelease(self): + return False + + +_legacy_version_component_re = re.compile( + r"(\d+ | [a-z]+ | \.| -)", re.VERBOSE, +) + +_legacy_version_replacement_map = { + "pre": "c", "preview": "c", "-": "final-", "rc": "c", "dev": "@", +} + + +def _parse_version_parts(s): + for part in _legacy_version_component_re.split(s): + part = _legacy_version_replacement_map.get(part, part) + + if not part or part == ".": + continue + + if part[:1] in "0123456789": + # pad for numeric comparison + yield part.zfill(8) + else: + yield "*" + part + + # ensure that alpha/beta/candidate are before final + yield "*final" + + +def _legacy_cmpkey(version): + # We hardcode an epoch of -1 here. A PEP 440 version can only have an epoch + # greater than or equal to 0. This will effectively put the LegacyVersion, + # which uses the defacto standard originally implemented by setuptools, + # as before all PEP 440 versions. + epoch = -1 + + # This scheme is taken from pkg_resources.parse_version setuptools prior to + # its adoption of the packaging library. + parts = [] + for part in _parse_version_parts(version.lower()): + if part.startswith("*"): + # remove "-" before a prerelease tag + if part < "*final": + while parts and parts[-1] == "*final-": + parts.pop() + + # remove trailing zeros from each series of numeric parts + while parts and parts[-1] == "00000000": + parts.pop() + + parts.append(part) + parts = tuple(parts) + + return epoch, parts + + +# Deliberately not anchored to the start and end of the string, to make it +# easier for 3rd party code to reuse +VERSION_PATTERN = r""" + v? + (?: + (?:(?P[0-9]+)!)? # epoch + (?P[0-9]+(?:\.[0-9]+)*) # release segment + (?P
                                          # pre-release
+            [-_\.]?
+            (?P(a|b|c|rc|alpha|beta|pre|preview))
+            [-_\.]?
+            (?P[0-9]+)?
+        )?
+        (?P                                         # post release
+            (?:-(?P[0-9]+))
+            |
+            (?:
+                [-_\.]?
+                (?Ppost|rev|r)
+                [-_\.]?
+                (?P[0-9]+)?
+            )
+        )?
+        (?P                                          # dev release
+            [-_\.]?
+            (?Pdev)
+            [-_\.]?
+            (?P[0-9]+)?
+        )?
+    )
+    (?:\+(?P[a-z0-9]+(?:[-_\.][a-z0-9]+)*))?       # local version
+"""
+
+
+class Version(_BaseVersion):
+
+    _regex = re.compile(
+        r"^\s*" + VERSION_PATTERN + r"\s*$",
+        re.VERBOSE | re.IGNORECASE,
+    )
+
+    def __init__(self, version):
+        # Validate the version and parse it into pieces
+        match = self._regex.search(version)
+        if not match:
+            raise InvalidVersion("Invalid version: '{0}'".format(version))
+
+        # Store the parsed out pieces of the version
+        self._version = _Version(
+            epoch=int(match.group("epoch")) if match.group("epoch") else 0,
+            release=tuple(int(i) for i in match.group("release").split(".")),
+            pre=_parse_letter_version(
+                match.group("pre_l"),
+                match.group("pre_n"),
+            ),
+            post=_parse_letter_version(
+                match.group("post_l"),
+                match.group("post_n1") or match.group("post_n2"),
+            ),
+            dev=_parse_letter_version(
+                match.group("dev_l"),
+                match.group("dev_n"),
+            ),
+            local=_parse_local_version(match.group("local")),
+        )
+
+        # Generate a key which will be used for sorting
+        self._key = _cmpkey(
+            self._version.epoch,
+            self._version.release,
+            self._version.pre,
+            self._version.post,
+            self._version.dev,
+            self._version.local,
+        )
+
+    def __repr__(self):
+        return "".format(repr(str(self)))
+
+    def __str__(self):
+        parts = []
+
+        # Epoch
+        if self._version.epoch != 0:
+            parts.append("{0}!".format(self._version.epoch))
+
+        # Release segment
+        parts.append(".".join(str(x) for x in self._version.release))
+
+        # Pre-release
+        if self._version.pre is not None:
+            parts.append("".join(str(x) for x in self._version.pre))
+
+        # Post-release
+        if self._version.post is not None:
+            parts.append(".post{0}".format(self._version.post[1]))
+
+        # Development release
+        if self._version.dev is not None:
+            parts.append(".dev{0}".format(self._version.dev[1]))
+
+        # Local version segment
+        if self._version.local is not None:
+            parts.append(
+                "+{0}".format(".".join(str(x) for x in self._version.local))
+            )
+
+        return "".join(parts)
+
+    @property
+    def public(self):
+        return str(self).split("+", 1)[0]
+
+    @property
+    def base_version(self):
+        parts = []
+
+        # Epoch
+        if self._version.epoch != 0:
+            parts.append("{0}!".format(self._version.epoch))
+
+        # Release segment
+        parts.append(".".join(str(x) for x in self._version.release))
+
+        return "".join(parts)
+
+    @property
+    def local(self):
+        version_string = str(self)
+        if "+" in version_string:
+            return version_string.split("+", 1)[1]
+
+    @property
+    def is_prerelease(self):
+        return bool(self._version.dev or self._version.pre)
+
+    @property
+    def is_postrelease(self):
+        return bool(self._version.post)
+
+
+def _parse_letter_version(letter, number):
+    if letter:
+        # We assume there is an implicit 0 in a pre-release if there is
+        # no numeral associated with it.
+        if number is None:
+            number = 0
+
+        # We normalize any letters to their lower-case form
+        letter = letter.lower()
+
+        # We consider some words to be alternate spellings of other words and
+        # in those cases we want to normalize the spellings to our preferred
+        # spelling.
+        if letter == "alpha":
+            letter = "a"
+        elif letter == "beta":
+            letter = "b"
+        elif letter in ["c", "pre", "preview"]:
+            letter = "rc"
+        elif letter in ["rev", "r"]:
+            letter = "post"
+
+        return letter, int(number)
+    if not letter and number:
+        # We assume that if we are given a number but not given a letter,
+        # then this is using the implicit post release syntax (e.g., 1.0-1)
+        letter = "post"
+
+        return letter, int(number)
+
+
+_local_version_seperators = re.compile(r"[\._-]")
+
+
+def _parse_local_version(local):
+    """
+    Takes a string like abc.1.twelve and turns it into ("abc", 1, "twelve").
+    """
+    if local is not None:
+        return tuple(
+            part.lower() if not part.isdigit() else int(part)
+            for part in _local_version_seperators.split(local)
+        )
+
+
+def _cmpkey(epoch, release, pre, post, dev, local):
+    # When we compare a release version, we want to compare it with all of the
+    # trailing zeros removed. So we'll use a reverse the list, drop all the now
+    # leading zeros until we come to something non-zero, then take the rest,
+    # re-reverse it back into the correct order, and make it a tuple and use
+    # that for our sorting key.
+    release = tuple(
+        reversed(list(
+            itertools.dropwhile(
+                lambda x: x == 0,
+                reversed(release),
+            )
+        ))
+    )
+
+    # We need to "trick" the sorting algorithm to put 1.0.dev0 before 1.0a0.
+    # We'll do this by abusing the pre-segment, but we _only_ want to do this
+    # if there is no pre- or a post-segment. If we have one of those, then
+    # the normal sorting rules will handle this case correctly.
+    if pre is None and post is None and dev is not None:
+        pre = -Infinity
+    # Versions without a pre-release (except as noted above) should sort after
+    # those with one.
+    elif pre is None:
+        pre = Infinity
+
+    # Versions without a post-segment should sort before those with one.
+    if post is None:
+        post = -Infinity
+
+    # Versions without a development segment should sort after those with one.
+    if dev is None:
+        dev = Infinity
+
+    if local is None:
+        # Versions without a local segment should sort before those with one.
+        local = -Infinity
+    else:
+        # Versions with a local segment need that segment parsed to implement
+        # the sorting rules in PEP440.
+        # - Alphanumeric segments sort before numeric segments
+        # - Alphanumeric segments sort lexicographically
+        # - Numeric segments sort numerically
+        # - Shorter versions sort before longer versions when the prefixes
+        #   match exactly
+        local = tuple(
+            (i, "") if isinstance(i, int) else (-Infinity, i)
+            for i in local
+        )
+
+    return epoch, release, pre, post, dev, local
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_pep440.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_pep440.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..29dd4c912aa99760858a30718256f5bf4b02955a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/_utils/_pep440.pyi
@@ -0,0 +1,121 @@
+import re
+from collections.abc import Callable
+from typing import (
+    Any,
+    ClassVar,
+    Final,
+    Generic,
+    NamedTuple,
+    TypeVar,
+    final,
+    type_check_only,
+)
+from typing import (
+    Literal as L,
+)
+
+from typing_extensions import TypeIs
+
+__all__ = ["VERSION_PATTERN", "InvalidVersion", "LegacyVersion", "Version", "parse"]
+
+###
+
+_CmpKeyT = TypeVar("_CmpKeyT", bound=tuple[object, ...])
+_CmpKeyT_co = TypeVar("_CmpKeyT_co", bound=tuple[object, ...], default=tuple[Any, ...], covariant=True)
+
+###
+
+VERSION_PATTERN: Final[str] = ...
+
+class InvalidVersion(ValueError): ...
+
+@type_check_only
+@final
+class _InfinityType:
+    def __hash__(self) -> int: ...
+    def __eq__(self, other: object, /) -> TypeIs[_InfinityType]: ...
+    def __ne__(self, other: object, /) -> bool: ...
+    def __lt__(self, other: object, /) -> L[False]: ...
+    def __le__(self, other: object, /) -> L[False]: ...
+    def __gt__(self, other: object, /) -> L[True]: ...
+    def __ge__(self, other: object, /) -> L[True]: ...
+    def __neg__(self) -> _NegativeInfinityType: ...
+
+Infinity: Final[_InfinityType] = ...
+
+@type_check_only
+@final
+class _NegativeInfinityType:
+    def __hash__(self) -> int: ...
+    def __eq__(self, other: object, /) -> TypeIs[_NegativeInfinityType]: ...
+    def __ne__(self, other: object, /) -> bool: ...
+    def __lt__(self, other: object, /) -> L[True]: ...
+    def __le__(self, other: object, /) -> L[True]: ...
+    def __gt__(self, other: object, /) -> L[False]: ...
+    def __ge__(self, other: object, /) -> L[False]: ...
+    def __neg__(self) -> _InfinityType: ...
+
+NegativeInfinity: Final[_NegativeInfinityType] = ...
+
+class _Version(NamedTuple):
+    epoch: int
+    release: tuple[int, ...]
+    dev: tuple[str, int] | None
+    pre: tuple[str, int] | None
+    post: tuple[str, int] | None
+    local: tuple[str | int, ...] | None
+
+class _BaseVersion(Generic[_CmpKeyT_co]):
+    _key: _CmpKeyT_co
+    def __hash__(self) -> int: ...
+    def __eq__(self, other: _BaseVersion, /) -> bool: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleMethodOverride]
+    def __ne__(self, other: _BaseVersion, /) -> bool: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleMethodOverride]
+    def __lt__(self, other: _BaseVersion, /) -> bool: ...
+    def __le__(self, other: _BaseVersion, /) -> bool: ...
+    def __ge__(self, other: _BaseVersion, /) -> bool: ...
+    def __gt__(self, other: _BaseVersion, /) -> bool: ...
+    def _compare(self, /, other: _BaseVersion[_CmpKeyT], method: Callable[[_CmpKeyT_co, _CmpKeyT], bool]) -> bool: ...
+
+class LegacyVersion(_BaseVersion[tuple[L[-1], tuple[str, ...]]]):
+    _version: Final[str]
+    def __init__(self, /, version: str) -> None: ...
+    @property
+    def public(self) -> str: ...
+    @property
+    def base_version(self) -> str: ...
+    @property
+    def local(self) -> None: ...
+    @property
+    def is_prerelease(self) -> L[False]: ...
+    @property
+    def is_postrelease(self) -> L[False]: ...
+
+class Version(
+    _BaseVersion[
+        tuple[
+            int,  # epoch
+            tuple[int, ...],  # release
+            tuple[str, int] | _InfinityType | _NegativeInfinityType,  # pre
+            tuple[str, int] | _NegativeInfinityType,  # post
+            tuple[str, int] | _InfinityType,  # dev
+            tuple[tuple[int, L[""]] | tuple[_NegativeInfinityType, str], ...] | _NegativeInfinityType,  # local
+        ],
+    ],
+):
+    _regex: ClassVar[re.Pattern[str]] = ...
+    _version: Final[str]
+
+    def __init__(self, /, version: str) -> None: ...
+    @property
+    def public(self) -> str: ...
+    @property
+    def base_version(self) -> str: ...
+    @property
+    def local(self) -> str | None: ...
+    @property
+    def is_prerelease(self) -> bool: ...
+    @property
+    def is_postrelease(self) -> bool: ...
+
+#
+def parse(version: str) -> Version | LegacyVersion: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/char/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/char/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..9eb66c180f59a4ede79f4c02b439c1f01eaa96b7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/char/__init__.py
@@ -0,0 +1,2 @@
+from numpy._core.defchararray import __all__, __doc__
+from numpy._core.defchararray import *
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/char/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/char/__init__.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..2abf86d305f86289e2b300d604e84d9f6eff1234
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/char/__init__.pyi
@@ -0,0 +1,111 @@
+from numpy._core.defchararray import (
+    equal,
+    not_equal,
+    greater_equal,
+    less_equal,
+    greater,
+    less,
+    str_len,
+    add,
+    multiply,
+    mod,
+    capitalize,
+    center,
+    count,
+    decode,
+    encode,
+    endswith,
+    expandtabs,
+    find,
+    index,
+    isalnum,
+    isalpha,
+    isdigit,
+    islower,
+    isspace,
+    istitle,
+    isupper,
+    join,
+    ljust,
+    lower,
+    lstrip,
+    partition,
+    replace,
+    rfind,
+    rindex,
+    rjust,
+    rpartition,
+    rsplit,
+    rstrip,
+    split,
+    splitlines,
+    startswith,
+    strip,
+    swapcase,
+    title,
+    translate,
+    upper,
+    zfill,
+    isnumeric,
+    isdecimal,
+    array,
+    asarray,
+    compare_chararrays,
+    chararray
+)
+
+__all__ = [
+    "equal",
+    "not_equal",
+    "greater_equal",
+    "less_equal",
+    "greater",
+    "less",
+    "str_len",
+    "add",
+    "multiply",
+    "mod",
+    "capitalize",
+    "center",
+    "count",
+    "decode",
+    "encode",
+    "endswith",
+    "expandtabs",
+    "find",
+    "index",
+    "isalnum",
+    "isalpha",
+    "isdigit",
+    "islower",
+    "isspace",
+    "istitle",
+    "isupper",
+    "join",
+    "ljust",
+    "lower",
+    "lstrip",
+    "partition",
+    "replace",
+    "rfind",
+    "rindex",
+    "rjust",
+    "rpartition",
+    "rsplit",
+    "rstrip",
+    "split",
+    "splitlines",
+    "startswith",
+    "strip",
+    "swapcase",
+    "title",
+    "translate",
+    "upper",
+    "zfill",
+    "isnumeric",
+    "isdecimal",
+    "array",
+    "asarray",
+    "compare_chararrays",
+    "chararray",
+]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..729265aa9c27736861dc16d803ae7c186f2958c4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/__init__.py
@@ -0,0 +1,29 @@
+"""
+Compatibility module.
+
+This module contains duplicated code from Python itself or 3rd party
+extensions, which may be included for the following reasons:
+
+  * compatibility
+  * we may only need a small subset of the copied library/module
+
+This module is deprecated since 1.26.0 and will be removed in future versions.
+
+"""
+
+import warnings
+
+from .._utils import _inspect
+from .._utils._inspect import getargspec, formatargspec
+from . import py3k
+from .py3k import *
+
+warnings.warn(
+    "`np.compat`, which was used during the Python 2 to 3 transition,"
+    " is deprecated since 1.26.0, and will be removed",
+    DeprecationWarning, stacklevel=2
+)
+
+__all__ = []
+__all__.extend(_inspect.__all__)
+__all__.extend(py3k.__all__)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/py3k.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/py3k.py
new file mode 100644
index 0000000000000000000000000000000000000000..74870e8ad9541ab6a54dbc673b9375a124d0f9ac
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/py3k.py
@@ -0,0 +1,143 @@
+"""
+Python 3.X compatibility tools.
+
+While this file was originally intended for Python 2 -> 3 transition,
+it is now used to create a compatibility layer between different
+minor versions of Python 3.
+
+While the active version of numpy may not support a given version of python, we
+allow downstream libraries to continue to use these shims for forward
+compatibility with numpy while they transition their code to newer versions of
+Python.
+"""
+__all__ = ['bytes', 'asbytes', 'isfileobj', 'getexception', 'strchar',
+           'unicode', 'asunicode', 'asbytes_nested', 'asunicode_nested',
+           'asstr', 'open_latin1', 'long', 'basestring', 'sixu',
+           'integer_types', 'is_pathlib_path', 'npy_load_module', 'Path',
+           'pickle', 'contextlib_nullcontext', 'os_fspath', 'os_PathLike']
+
+import sys
+import os
+from pathlib import Path
+import io
+try:
+    import pickle5 as pickle
+except ImportError:
+    import pickle
+
+long = int
+integer_types = (int,)
+basestring = str
+unicode = str
+bytes = bytes
+
+def asunicode(s):
+    if isinstance(s, bytes):
+        return s.decode('latin1')
+    return str(s)
+
+def asbytes(s):
+    if isinstance(s, bytes):
+        return s
+    return str(s).encode('latin1')
+
+def asstr(s):
+    if isinstance(s, bytes):
+        return s.decode('latin1')
+    return str(s)
+
+def isfileobj(f):
+    if not isinstance(f, (io.FileIO, io.BufferedReader, io.BufferedWriter)):
+        return False
+    try:
+        # BufferedReader/Writer may raise OSError when
+        # fetching `fileno()` (e.g. when wrapping BytesIO).
+        f.fileno()
+        return True
+    except OSError:
+        return False
+
+def open_latin1(filename, mode='r'):
+    return open(filename, mode=mode, encoding='iso-8859-1')
+
+def sixu(s):
+    return s
+
+strchar = 'U'
+
+def getexception():
+    return sys.exc_info()[1]
+
+def asbytes_nested(x):
+    if hasattr(x, '__iter__') and not isinstance(x, (bytes, unicode)):
+        return [asbytes_nested(y) for y in x]
+    else:
+        return asbytes(x)
+
+def asunicode_nested(x):
+    if hasattr(x, '__iter__') and not isinstance(x, (bytes, unicode)):
+        return [asunicode_nested(y) for y in x]
+    else:
+        return asunicode(x)
+
+def is_pathlib_path(obj):
+    """
+    Check whether obj is a `pathlib.Path` object.
+
+    Prefer using ``isinstance(obj, os.PathLike)`` instead of this function.
+    """
+    return isinstance(obj, Path)
+
+# from Python 3.7
+class contextlib_nullcontext:
+    """Context manager that does no additional processing.
+
+    Used as a stand-in for a normal context manager, when a particular
+    block of code is only sometimes used with a normal context manager:
+
+    cm = optional_cm if condition else nullcontext()
+    with cm:
+        # Perform operation, using optional_cm if condition is True
+
+    .. note::
+        Prefer using `contextlib.nullcontext` instead of this context manager.
+    """
+
+    def __init__(self, enter_result=None):
+        self.enter_result = enter_result
+
+    def __enter__(self):
+        return self.enter_result
+
+    def __exit__(self, *excinfo):
+        pass
+
+
+def npy_load_module(name, fn, info=None):
+    """
+    Load a module. Uses ``load_module`` which will be deprecated in python
+    3.12. An alternative that uses ``exec_module`` is in
+    numpy.distutils.misc_util.exec_mod_from_location
+
+    Parameters
+    ----------
+    name : str
+        Full module name.
+    fn : str
+        Path to module file.
+    info : tuple, optional
+        Only here for backward compatibility with Python 2.*.
+
+    Returns
+    -------
+    mod : module
+
+    """
+    # Explicitly lazy import this to avoid paying the cost
+    # of importing importlib at startup
+    from importlib.machinery import SourceFileLoader
+    return SourceFileLoader(name, fn).load_module()
+
+
+os_fspath = os.fspath
+os_PathLike = os.PathLike
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/compat/tests/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/conftest.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/conftest.py
new file mode 100644
index 0000000000000000000000000000000000000000..0eb42d1103e4a59c389ac36a8077fea4d0a8f7de
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/conftest.py
@@ -0,0 +1,261 @@
+"""
+Pytest configuration and fixtures for the Numpy test suite.
+"""
+import os
+import string
+import sys
+import tempfile
+from contextlib import contextmanager
+import warnings
+
+import hypothesis
+import pytest
+import numpy
+import numpy as np
+
+from numpy._core._multiarray_tests import get_fpu_mode
+from numpy._core.tests._natype import pd_NA
+from numpy.testing._private.utils import NOGIL_BUILD, get_stringdtype_dtype
+
+try:
+    from scipy_doctest.conftest import dt_config
+    HAVE_SCPDT = True
+except ModuleNotFoundError:
+    HAVE_SCPDT = False
+
+
+_old_fpu_mode = None
+_collect_results = {}
+
+# Use a known and persistent tmpdir for hypothesis' caches, which
+# can be automatically cleared by the OS or user.
+hypothesis.configuration.set_hypothesis_home_dir(
+    os.path.join(tempfile.gettempdir(), ".hypothesis")
+)
+
+# We register two custom profiles for Numpy - for details see
+# https://hypothesis.readthedocs.io/en/latest/settings.html
+# The first is designed for our own CI runs; the latter also
+# forces determinism and is designed for use via np.test()
+hypothesis.settings.register_profile(
+    name="numpy-profile", deadline=None, print_blob=True,
+)
+hypothesis.settings.register_profile(
+    name="np.test() profile",
+    deadline=None, print_blob=True, database=None, derandomize=True,
+    suppress_health_check=list(hypothesis.HealthCheck),
+)
+# Note that the default profile is chosen based on the presence
+# of pytest.ini, but can be overridden by passing the
+# --hypothesis-profile=NAME argument to pytest.
+_pytest_ini = os.path.join(os.path.dirname(__file__), "..", "pytest.ini")
+hypothesis.settings.load_profile(
+    "numpy-profile" if os.path.isfile(_pytest_ini) else "np.test() profile"
+)
+
+# The experimentalAPI is used in _umath_tests
+os.environ["NUMPY_EXPERIMENTAL_DTYPE_API"] = "1"
+
+def pytest_configure(config):
+    config.addinivalue_line("markers",
+        "valgrind_error: Tests that are known to error under valgrind.")
+    config.addinivalue_line("markers",
+        "leaks_references: Tests that are known to leak references.")
+    config.addinivalue_line("markers",
+        "slow: Tests that are very slow.")
+    config.addinivalue_line("markers",
+        "slow_pypy: Tests that are very slow on pypy.")
+
+
+def pytest_addoption(parser):
+    parser.addoption("--available-memory", action="store", default=None,
+                     help=("Set amount of memory available for running the "
+                           "test suite. This can result to tests requiring "
+                           "especially large amounts of memory to be skipped. "
+                           "Equivalent to setting environment variable "
+                           "NPY_AVAILABLE_MEM. Default: determined"
+                           "automatically."))
+
+
+gil_enabled_at_start = True
+if NOGIL_BUILD:
+    gil_enabled_at_start = sys._is_gil_enabled()
+
+
+def pytest_sessionstart(session):
+    available_mem = session.config.getoption('available_memory')
+    if available_mem is not None:
+        os.environ['NPY_AVAILABLE_MEM'] = available_mem
+
+
+def pytest_terminal_summary(terminalreporter, exitstatus, config):
+    if NOGIL_BUILD and not gil_enabled_at_start and sys._is_gil_enabled():
+        tr = terminalreporter
+        tr.ensure_newline()
+        tr.section("GIL re-enabled", sep="=", red=True, bold=True)
+        tr.line("The GIL was re-enabled at runtime during the tests.")
+        tr.line("This can happen with no test failures if the RuntimeWarning")
+        tr.line("raised by Python when this happens is filtered by a test.")
+        tr.line("")
+        tr.line("Please ensure all new C modules declare support for running")
+        tr.line("without the GIL. Any new tests that intentionally imports ")
+        tr.line("code that re-enables the GIL should do so in a subprocess.")
+        pytest.exit("GIL re-enabled during tests", returncode=1)
+
+#FIXME when yield tests are gone.
+@pytest.hookimpl()
+def pytest_itemcollected(item):
+    """
+    Check FPU precision mode was not changed during test collection.
+
+    The clumsy way we do it here is mainly necessary because numpy
+    still uses yield tests, which can execute code at test collection
+    time.
+    """
+    global _old_fpu_mode
+
+    mode = get_fpu_mode()
+
+    if _old_fpu_mode is None:
+        _old_fpu_mode = mode
+    elif mode != _old_fpu_mode:
+        _collect_results[item] = (_old_fpu_mode, mode)
+        _old_fpu_mode = mode
+
+
+@pytest.fixture(scope="function", autouse=True)
+def check_fpu_mode(request):
+    """
+    Check FPU precision mode was not changed during the test.
+    """
+    old_mode = get_fpu_mode()
+    yield
+    new_mode = get_fpu_mode()
+
+    if old_mode != new_mode:
+        raise AssertionError("FPU precision mode changed from {0:#x} to {1:#x}"
+                             " during the test".format(old_mode, new_mode))
+
+    collect_result = _collect_results.get(request.node)
+    if collect_result is not None:
+        old_mode, new_mode = collect_result
+        raise AssertionError("FPU precision mode changed from {0:#x} to {1:#x}"
+                             " when collecting the test".format(old_mode,
+                                                                new_mode))
+
+
+@pytest.fixture(autouse=True)
+def add_np(doctest_namespace):
+    doctest_namespace['np'] = numpy
+
+@pytest.fixture(autouse=True)
+def env_setup(monkeypatch):
+    monkeypatch.setenv('PYTHONHASHSEED', '0')
+
+
+if HAVE_SCPDT:
+
+    @contextmanager
+    def warnings_errors_and_rng(test=None):
+        """Filter out the wall of DeprecationWarnings.
+        """
+        msgs = ["The numpy.linalg.linalg",
+                "The numpy.fft.helper",
+                "dep_util",
+                "pkg_resources",
+                "numpy.core.umath",
+                "msvccompiler",
+                "Deprecated call",
+                "numpy.core",
+                "`np.compat`",
+                "Importing from numpy.matlib",
+                "This function is deprecated.",    # random_integers
+                "Data type alias 'a'",     # numpy.rec.fromfile
+                "Arrays of 2-dimensional vectors",   # matlib.cross
+                "`in1d` is deprecated", ]
+        msg = "|".join(msgs)
+
+        msgs_r = [
+            "invalid value encountered",
+            "divide by zero encountered"
+        ]
+        msg_r = "|".join(msgs_r)
+
+        with warnings.catch_warnings():
+            warnings.filterwarnings(
+                'ignore', category=DeprecationWarning, message=msg
+            )
+            warnings.filterwarnings(
+                'ignore', category=RuntimeWarning, message=msg_r
+            )
+            yield
+
+    # find and check doctests under this context manager
+    dt_config.user_context_mgr = warnings_errors_and_rng
+
+    # numpy specific tweaks from refguide-check
+    dt_config.rndm_markers.add('#uninitialized')
+    dt_config.rndm_markers.add('# uninitialized')
+
+    # make the checker pick on mismatched dtypes
+    dt_config.strict_check = True
+
+    import doctest
+    dt_config.optionflags = doctest.NORMALIZE_WHITESPACE | doctest.ELLIPSIS
+
+    # recognize the StringDType repr
+    dt_config.check_namespace['StringDType'] = numpy.dtypes.StringDType
+
+    # temporary skips
+    dt_config.skiplist = {
+        'numpy.savez',    # unclosed file
+        'numpy.matlib.savez',
+        'numpy.__array_namespace_info__',
+        'numpy.matlib.__array_namespace_info__',
+    }
+
+    # xfail problematic tutorials
+    dt_config.pytest_extra_xfail = {
+        'how-to-verify-bug.rst': '',
+        'c-info.ufunc-tutorial.rst': '',
+        'basics.interoperability.rst': 'needs pandas',
+        'basics.dispatch.rst': 'errors out in /testing/overrides.py',
+        'basics.subclassing.rst': '.. testcode:: admonitions not understood',
+        'misc.rst': 'manipulates warnings',
+    }
+
+    # ignores are for things fail doctest collection (optionals etc)
+    dt_config.pytest_extra_ignore = [
+        'numpy/distutils',
+        'numpy/_core/cversions.py',
+        'numpy/_pyinstaller',
+        'numpy/random/_examples',
+        'numpy/compat',
+        'numpy/f2py/_backends/_distutils.py',
+    ]
+
+
+@pytest.fixture
+def random_string_list():
+    chars = list(string.ascii_letters + string.digits)
+    chars = np.array(chars, dtype="U1")
+    ret = np.random.choice(chars, size=100 * 10, replace=True)
+    return ret.view("U100")
+
+
+@pytest.fixture(params=[True, False])
+def coerce(request):
+    return request.param
+
+
+@pytest.fixture(
+    params=["unset", None, pd_NA, np.nan, float("nan"), "__nan__"],
+    ids=["unset", "None", "pandas.NA", "np.nan", "float('nan')", "string nan"],
+)
+def na_object(request):
+    return request.param
+
+
+@pytest.fixture()
+def dtype(na_object, coerce):
+    return get_stringdtype_dtype(na_object, coerce)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e7d3c678b429dbde0333d4e79a6d2a860c6d678f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/__init__.py
@@ -0,0 +1,32 @@
+"""
+The `numpy.core` submodule exists solely for backward compatibility
+purposes. The original `core` was renamed to `_core` and made private.
+`numpy.core` will be removed in the future.
+"""
+from numpy import _core
+from ._utils import _raise_warning
+
+
+# We used to use `np.core._ufunc_reconstruct` to unpickle.
+# This is unnecessary, but old pickles saved before 1.20 will be using it,
+# and there is no reason to break loading them.
+def _ufunc_reconstruct(module, name):
+    # The `fromlist` kwarg is required to ensure that `mod` points to the
+    # inner-most module rather than the parent package when module name is
+    # nested. This makes it possible to pickle non-toplevel ufuncs such as
+    # scipy.special.expit for instance.
+    mod = __import__(module, fromlist=[name])
+    return getattr(mod, name)
+
+
+# force lazy-loading of submodules to ensure a warning is printed
+
+__all__ = ["arrayprint", "defchararray", "_dtype_ctypes", "_dtype",
+           "einsumfunc", "fromnumeric", "function_base", "getlimits",
+           "_internal", "multiarray", "_multiarray_umath", "numeric",
+           "numerictypes", "overrides", "records", "shape_base", "umath"]
+
+def __getattr__(attr_name):
+    attr = getattr(_core, attr_name)
+    _raise_warning(attr_name)
+    return attr
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/__init__.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype.py
new file mode 100644
index 0000000000000000000000000000000000000000..613a1d259a1567dd28e5524b6a85a4556c16dce8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import _dtype
+    from ._utils import _raise_warning
+    ret = getattr(_dtype, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core._dtype' has no attribute {attr_name}")
+    _raise_warning(attr_name, "_dtype")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype_ctypes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype_ctypes.py
new file mode 100644
index 0000000000000000000000000000000000000000..0dadd7949ecb2ad34c4342d590df9dcf7d32bd06
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype_ctypes.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import _dtype_ctypes
+    from ._utils import _raise_warning
+    ret = getattr(_dtype_ctypes, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core._dtype_ctypes' has no attribute {attr_name}")
+    _raise_warning(attr_name, "_dtype_ctypes")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype_ctypes.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_dtype_ctypes.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_internal.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_internal.py
new file mode 100644
index 0000000000000000000000000000000000000000..7755c7c35505af3f326b22c1e6a9a4052f2a5750
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_internal.py
@@ -0,0 +1,25 @@
+from numpy._core import _internal
+
+# Build a new array from the information in a pickle.
+# Note that the name numpy.core._internal._reconstruct is embedded in
+# pickles of ndarrays made with NumPy before release 1.0
+# so don't remove the name here, or you'll
+# break backward compatibility.
+def _reconstruct(subtype, shape, dtype):
+    from numpy import ndarray
+    return ndarray.__new__(subtype, shape, dtype)
+
+
+# Pybind11 (in versions <= 2.11.1) imports _dtype_from_pep3118 from the
+# _internal submodule, therefore it must be importable without a warning.
+_dtype_from_pep3118 = _internal._dtype_from_pep3118
+
+def __getattr__(attr_name):
+    from numpy._core import _internal
+    from ._utils import _raise_warning
+    ret = getattr(_internal, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core._internal' has no attribute {attr_name}")
+    _raise_warning(attr_name, "_internal")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_multiarray_umath.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_multiarray_umath.py
new file mode 100644
index 0000000000000000000000000000000000000000..04cc88229aac72690f516956352ba2c398bde703
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_multiarray_umath.py
@@ -0,0 +1,55 @@
+from numpy._core import _multiarray_umath
+from numpy import ufunc
+
+for item in _multiarray_umath.__dir__():
+    # ufuncs appear in pickles with a path in numpy.core._multiarray_umath
+    # and so must import from this namespace without warning or error
+    attr = getattr(_multiarray_umath, item)
+    if isinstance(attr, ufunc):
+        globals()[item] = attr
+
+
+def __getattr__(attr_name):
+    from numpy._core import _multiarray_umath
+    from ._utils import _raise_warning
+
+    if attr_name in {"_ARRAY_API", "_UFUNC_API"}:
+        from numpy.version import short_version
+        import textwrap
+        import traceback
+        import sys
+
+        msg = textwrap.dedent(f"""
+            A module that was compiled using NumPy 1.x cannot be run in
+            NumPy {short_version} as it may crash. To support both 1.x and 2.x
+            versions of NumPy, modules must be compiled with NumPy 2.0.
+            Some module may need to rebuild instead e.g. with 'pybind11>=2.12'.
+
+            If you are a user of the module, the easiest solution will be to
+            downgrade to 'numpy<2' or try to upgrade the affected module.
+            We expect that some modules will need time to support NumPy 2.
+
+            """)
+        tb_msg = "Traceback (most recent call last):"
+        for line in traceback.format_stack()[:-1]:
+            if "frozen importlib" in line:
+                continue
+            tb_msg += line
+
+        # Also print the message (with traceback).  This is because old versions
+        # of NumPy unfortunately set up the import to replace (and hide) the
+        # error.  The traceback shouldn't be needed, but e.g. pytest plugins
+        # seem to swallow it and we should be failing anyway...
+        sys.stderr.write(msg + tb_msg)
+        raise ImportError(msg)
+
+    ret = getattr(_multiarray_umath, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            "module 'numpy.core._multiarray_umath' has no attribute "
+            f"{attr_name}")
+    _raise_warning(attr_name, "_multiarray_umath")
+    return ret
+
+
+del _multiarray_umath, ufunc
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_utils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..5f47f4ba46f8c503803518e15be255f7fea26cb5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/_utils.py
@@ -0,0 +1,21 @@
+import warnings
+
+
+def _raise_warning(attr: str, submodule: str | None = None) -> None:
+    new_module = "numpy._core"
+    old_module = "numpy.core"
+    if submodule is not None:
+        new_module = f"{new_module}.{submodule}"
+        old_module = f"{old_module}.{submodule}"
+    warnings.warn(
+        f"{old_module} is deprecated and has been renamed to {new_module}. "
+        "The numpy._core namespace contains private NumPy internals and its "
+        "use is discouraged, as NumPy internals can change without warning in "
+        "any release. In practice, most real-world usage of numpy.core is to "
+        "access functionality in the public NumPy API. If that is the case, "
+        "use the public NumPy API. If not, you are using NumPy internals. "
+        "If you would still like to access an internal attribute, "
+        f"use {new_module}.{attr}.",
+        DeprecationWarning,
+        stacklevel=3
+    )
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/arrayprint.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/arrayprint.py
new file mode 100644
index 0000000000000000000000000000000000000000..4e746546acf0b4df905b0c1117bdd40f0033e615
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/arrayprint.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import arrayprint
+    from ._utils import _raise_warning
+    ret = getattr(arrayprint, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.arrayprint' has no attribute {attr_name}")
+    _raise_warning(attr_name, "arrayprint")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/defchararray.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/defchararray.py
new file mode 100644
index 0000000000000000000000000000000000000000..ffab82acff5b1cd02858900a158ff57215b79d46
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/defchararray.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import defchararray
+    from ._utils import _raise_warning
+    ret = getattr(defchararray, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.defchararray' has no attribute {attr_name}")
+    _raise_warning(attr_name, "defchararray")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/einsumfunc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/einsumfunc.py
new file mode 100644
index 0000000000000000000000000000000000000000..74aa410ff4b5ba9c58799bcfed5a1cfe41823358
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/einsumfunc.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import einsumfunc
+    from ._utils import _raise_warning
+    ret = getattr(einsumfunc, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.einsumfunc' has no attribute {attr_name}")
+    _raise_warning(attr_name, "einsumfunc")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/fromnumeric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/fromnumeric.py
new file mode 100644
index 0000000000000000000000000000000000000000..1ea11d799d6f7a1548f7241e041e2a2ea06d7736
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/fromnumeric.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import fromnumeric
+    from ._utils import _raise_warning
+    ret = getattr(fromnumeric, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.fromnumeric' has no attribute {attr_name}")
+    _raise_warning(attr_name, "fromnumeric")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/function_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/function_base.py
new file mode 100644
index 0000000000000000000000000000000000000000..20e098b6fe4448d479928c9676aa99c8533453af
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/function_base.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import function_base
+    from ._utils import _raise_warning
+    ret = getattr(function_base, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.function_base' has no attribute {attr_name}")
+    _raise_warning(attr_name, "function_base")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/getlimits.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/getlimits.py
new file mode 100644
index 0000000000000000000000000000000000000000..faa084ae77705613f4870dfdd9eab45532364b37
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/getlimits.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import getlimits
+    from ._utils import _raise_warning
+    ret = getattr(getlimits, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.getlimits' has no attribute {attr_name}")
+    _raise_warning(attr_name, "getlimits")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/multiarray.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/multiarray.py
new file mode 100644
index 0000000000000000000000000000000000000000..0290c852a8ab06c68f05a469a11f861af56290e6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/multiarray.py
@@ -0,0 +1,24 @@
+from numpy._core import multiarray
+
+# these must import without warning or error from numpy.core.multiarray to
+# support old pickle files
+for item in ["_reconstruct", "scalar"]:
+    globals()[item] = getattr(multiarray, item)
+
+# Pybind11 (in versions <= 2.11.1) imports _ARRAY_API from the multiarray
+# submodule as a part of NumPy initialization, therefore it must be importable
+# without a warning.
+_ARRAY_API = multiarray._ARRAY_API
+
+def __getattr__(attr_name):
+    from numpy._core import multiarray
+    from ._utils import _raise_warning
+    ret = getattr(multiarray, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.multiarray' has no attribute {attr_name}")
+    _raise_warning(attr_name, "multiarray")
+    return ret
+
+
+del multiarray
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/numeric.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/numeric.py
new file mode 100644
index 0000000000000000000000000000000000000000..af0658d4fb66bea99d3fcfe4dccb273b299a54d0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/numeric.py
@@ -0,0 +1,11 @@
+def __getattr__(attr_name):
+    from numpy._core import numeric
+    from ._utils import _raise_warning
+
+    sentinel = object()
+    ret = getattr(numeric, attr_name, sentinel)
+    if ret is sentinel:
+        raise AttributeError(
+            f"module 'numpy.core.numeric' has no attribute {attr_name}")
+    _raise_warning(attr_name, "numeric")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/numerictypes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/numerictypes.py
new file mode 100644
index 0000000000000000000000000000000000000000..0e887cbf30ad5bf27fd7025876bfb5854427efe0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/numerictypes.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import numerictypes
+    from ._utils import _raise_warning
+    ret = getattr(numerictypes, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.numerictypes' has no attribute {attr_name}")
+    _raise_warning(attr_name, "numerictypes")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/overrides.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/overrides.py
new file mode 100644
index 0000000000000000000000000000000000000000..3297999c5b01fcc89552421f7925594331a8d983
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/overrides.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import overrides
+    from ._utils import _raise_warning
+    ret = getattr(overrides, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.overrides' has no attribute {attr_name}")
+    _raise_warning(attr_name, "overrides")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/overrides.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/overrides.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..fab3512626f86841897fb903fdef84fa32366db7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/overrides.pyi
@@ -0,0 +1,7 @@
+# NOTE: At runtime, this submodule dynamically re-exports any `numpy._core.overrides`
+# member, and issues a `DeprecationWarning` when accessed. But since there is no
+# `__dir__` or `__all__` present, these annotations would be unverifiable. Because
+# this module is also deprecated in favor of `numpy._core`, and therefore not part of
+# the public API, we omit the "re-exports", which in practice would require literal
+# duplication of the stubs in order for the `@deprecated` decorator to be understood
+# by type-checkers.
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/records.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/records.py
new file mode 100644
index 0000000000000000000000000000000000000000..94c0d26926a00edb8de76937b927c7190515d904
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/records.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import records
+    from ._utils import _raise_warning
+    ret = getattr(records, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.records' has no attribute {attr_name}")
+    _raise_warning(attr_name, "records")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/shape_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/shape_base.py
new file mode 100644
index 0000000000000000000000000000000000000000..10b8712c8b969360ed01c51140dbe84103f26bc3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/shape_base.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import shape_base
+    from ._utils import _raise_warning
+    ret = getattr(shape_base, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.shape_base' has no attribute {attr_name}")
+    _raise_warning(attr_name, "shape_base")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/umath.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/umath.py
new file mode 100644
index 0000000000000000000000000000000000000000..6ef031d7d62a5ce80c79b34d90d8ba76b110a208
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/core/umath.py
@@ -0,0 +1,9 @@
+def __getattr__(attr_name):
+    from numpy._core import umath
+    from ._utils import _raise_warning
+    ret = getattr(umath, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.core.umath' has no attribute {attr_name}")
+    _raise_warning(attr_name, "umath")
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ctypeslib.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ctypeslib.py
new file mode 100644
index 0000000000000000000000000000000000000000..f607773444c0d06cfa0a9b00def9c1c54df652cc
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ctypeslib.py
@@ -0,0 +1,602 @@
+"""
+============================
+``ctypes`` Utility Functions
+============================
+
+See Also
+--------
+load_library : Load a C library.
+ndpointer : Array restype/argtype with verification.
+as_ctypes : Create a ctypes array from an ndarray.
+as_array : Create an ndarray from a ctypes array.
+
+References
+----------
+.. [1] "SciPy Cookbook: ctypes", https://scipy-cookbook.readthedocs.io/items/Ctypes.html
+
+Examples
+--------
+Load the C library:
+
+>>> _lib = np.ctypeslib.load_library('libmystuff', '.')     #doctest: +SKIP
+
+Our result type, an ndarray that must be of type double, be 1-dimensional
+and is C-contiguous in memory:
+
+>>> array_1d_double = np.ctypeslib.ndpointer(
+...                          dtype=np.double,
+...                          ndim=1, flags='CONTIGUOUS')    #doctest: +SKIP
+
+Our C-function typically takes an array and updates its values
+in-place.  For example::
+
+    void foo_func(double* x, int length)
+    {
+        int i;
+        for (i = 0; i < length; i++) {
+            x[i] = i*i;
+        }
+    }
+
+We wrap it using:
+
+>>> _lib.foo_func.restype = None                      #doctest: +SKIP
+>>> _lib.foo_func.argtypes = [array_1d_double, c_int] #doctest: +SKIP
+
+Then, we're ready to call ``foo_func``:
+
+>>> out = np.empty(15, dtype=np.double)
+>>> _lib.foo_func(out, len(out))                #doctest: +SKIP
+
+"""
+__all__ = ['load_library', 'ndpointer', 'c_intp', 'as_ctypes', 'as_array',
+           'as_ctypes_type']
+
+import os
+import numpy as np
+from numpy._core.multiarray import _flagdict, flagsobj
+
+try:
+    import ctypes
+except ImportError:
+    ctypes = None
+
+if ctypes is None:
+    def _dummy(*args, **kwds):
+        """
+        Dummy object that raises an ImportError if ctypes is not available.
+
+        Raises
+        ------
+        ImportError
+            If ctypes is not available.
+
+        """
+        raise ImportError("ctypes is not available.")
+    load_library = _dummy
+    as_ctypes = _dummy
+    as_array = _dummy
+    from numpy import intp as c_intp
+    _ndptr_base = object
+else:
+    import numpy._core._internal as nic
+    c_intp = nic._getintp_ctype()
+    del nic
+    _ndptr_base = ctypes.c_void_p
+
+    # Adapted from Albert Strasheim
+    def load_library(libname, loader_path):
+        """
+        It is possible to load a library using
+
+        >>> lib = ctypes.cdll[] # doctest: +SKIP
+
+        But there are cross-platform considerations, such as library file extensions,
+        plus the fact Windows will just load the first library it finds with that name.
+        NumPy supplies the load_library function as a convenience.
+
+        .. versionchanged:: 1.20.0
+            Allow libname and loader_path to take any
+            :term:`python:path-like object`.
+
+        Parameters
+        ----------
+        libname : path-like
+            Name of the library, which can have 'lib' as a prefix,
+            but without an extension.
+        loader_path : path-like
+            Where the library can be found.
+
+        Returns
+        -------
+        ctypes.cdll[libpath] : library object
+           A ctypes library object
+
+        Raises
+        ------
+        OSError
+            If there is no library with the expected extension, or the
+            library is defective and cannot be loaded.
+        """
+        # Convert path-like objects into strings
+        libname = os.fsdecode(libname)
+        loader_path = os.fsdecode(loader_path)
+
+        ext = os.path.splitext(libname)[1]
+        if not ext:
+            import sys
+            import sysconfig
+            # Try to load library with platform-specific name, otherwise
+            # default to libname.[so|dll|dylib].  Sometimes, these files are
+            # built erroneously on non-linux platforms.
+            base_ext = ".so"
+            if sys.platform.startswith("darwin"):
+                base_ext = ".dylib"
+            elif sys.platform.startswith("win"):
+                base_ext = ".dll"
+            libname_ext = [libname + base_ext]
+            so_ext = sysconfig.get_config_var("EXT_SUFFIX")
+            if not so_ext == base_ext:
+                libname_ext.insert(0, libname + so_ext)
+        else:
+            libname_ext = [libname]
+
+        loader_path = os.path.abspath(loader_path)
+        if not os.path.isdir(loader_path):
+            libdir = os.path.dirname(loader_path)
+        else:
+            libdir = loader_path
+
+        for ln in libname_ext:
+            libpath = os.path.join(libdir, ln)
+            if os.path.exists(libpath):
+                try:
+                    return ctypes.cdll[libpath]
+                except OSError:
+                    ## defective lib file
+                    raise
+        ## if no successful return in the libname_ext loop:
+        raise OSError("no file with expected extension")
+
+
+def _num_fromflags(flaglist):
+    num = 0
+    for val in flaglist:
+        num += _flagdict[val]
+    return num
+
+_flagnames = ['C_CONTIGUOUS', 'F_CONTIGUOUS', 'ALIGNED', 'WRITEABLE',
+              'OWNDATA', 'WRITEBACKIFCOPY']
+def _flags_fromnum(num):
+    res = []
+    for key in _flagnames:
+        value = _flagdict[key]
+        if (num & value):
+            res.append(key)
+    return res
+
+
+class _ndptr(_ndptr_base):
+    @classmethod
+    def from_param(cls, obj):
+        if not isinstance(obj, np.ndarray):
+            raise TypeError("argument must be an ndarray")
+        if cls._dtype_ is not None \
+               and obj.dtype != cls._dtype_:
+            raise TypeError("array must have data type %s" % cls._dtype_)
+        if cls._ndim_ is not None \
+               and obj.ndim != cls._ndim_:
+            raise TypeError("array must have %d dimension(s)" % cls._ndim_)
+        if cls._shape_ is not None \
+               and obj.shape != cls._shape_:
+            raise TypeError("array must have shape %s" % str(cls._shape_))
+        if cls._flags_ is not None \
+               and ((obj.flags.num & cls._flags_) != cls._flags_):
+            raise TypeError("array must have flags %s" %
+                    _flags_fromnum(cls._flags_))
+        return obj.ctypes
+
+
+class _concrete_ndptr(_ndptr):
+    """
+    Like _ndptr, but with `_shape_` and `_dtype_` specified.
+
+    Notably, this means the pointer has enough information to reconstruct
+    the array, which is not generally true.
+    """
+    def _check_retval_(self):
+        """
+        This method is called when this class is used as the .restype
+        attribute for a shared-library function, to automatically wrap the
+        pointer into an array.
+        """
+        return self.contents
+
+    @property
+    def contents(self):
+        """
+        Get an ndarray viewing the data pointed to by this pointer.
+
+        This mirrors the `contents` attribute of a normal ctypes pointer
+        """
+        full_dtype = np.dtype((self._dtype_, self._shape_))
+        full_ctype = ctypes.c_char * full_dtype.itemsize
+        buffer = ctypes.cast(self, ctypes.POINTER(full_ctype)).contents
+        return np.frombuffer(buffer, dtype=full_dtype).squeeze(axis=0)
+
+
+# Factory for an array-checking class with from_param defined for
+#  use with ctypes argtypes mechanism
+_pointer_type_cache = {}
+def ndpointer(dtype=None, ndim=None, shape=None, flags=None):
+    """
+    Array-checking restype/argtypes.
+
+    An ndpointer instance is used to describe an ndarray in restypes
+    and argtypes specifications.  This approach is more flexible than
+    using, for example, ``POINTER(c_double)``, since several restrictions
+    can be specified, which are verified upon calling the ctypes function.
+    These include data type, number of dimensions, shape and flags.  If a
+    given array does not satisfy the specified restrictions,
+    a ``TypeError`` is raised.
+
+    Parameters
+    ----------
+    dtype : data-type, optional
+        Array data-type.
+    ndim : int, optional
+        Number of array dimensions.
+    shape : tuple of ints, optional
+        Array shape.
+    flags : str or tuple of str
+        Array flags; may be one or more of:
+
+        - C_CONTIGUOUS / C / CONTIGUOUS
+        - F_CONTIGUOUS / F / FORTRAN
+        - OWNDATA / O
+        - WRITEABLE / W
+        - ALIGNED / A
+        - WRITEBACKIFCOPY / X
+
+    Returns
+    -------
+    klass : ndpointer type object
+        A type object, which is an ``_ndtpr`` instance containing
+        dtype, ndim, shape and flags information.
+
+    Raises
+    ------
+    TypeError
+        If a given array does not satisfy the specified restrictions.
+
+    Examples
+    --------
+    >>> clib.somefunc.argtypes = [np.ctypeslib.ndpointer(dtype=np.float64,
+    ...                                                  ndim=1,
+    ...                                                  flags='C_CONTIGUOUS')]
+    ... #doctest: +SKIP
+    >>> clib.somefunc(np.array([1, 2, 3], dtype=np.float64))
+    ... #doctest: +SKIP
+
+    """
+
+    # normalize dtype to dtype | None
+    if dtype is not None:
+        dtype = np.dtype(dtype)
+
+    # normalize flags to int | None
+    num = None
+    if flags is not None:
+        if isinstance(flags, str):
+            flags = flags.split(',')
+        elif isinstance(flags, (int, np.integer)):
+            num = flags
+            flags = _flags_fromnum(num)
+        elif isinstance(flags, flagsobj):
+            num = flags.num
+            flags = _flags_fromnum(num)
+        if num is None:
+            try:
+                flags = [x.strip().upper() for x in flags]
+            except Exception as e:
+                raise TypeError("invalid flags specification") from e
+            num = _num_fromflags(flags)
+
+    # normalize shape to tuple | None
+    if shape is not None:
+        try:
+            shape = tuple(shape)
+        except TypeError:
+            # single integer -> 1-tuple
+            shape = (shape,)
+
+    cache_key = (dtype, ndim, shape, num)
+
+    try:
+        return _pointer_type_cache[cache_key]
+    except KeyError:
+        pass
+
+    # produce a name for the new type
+    if dtype is None:
+        name = 'any'
+    elif dtype.names is not None:
+        name = str(id(dtype))
+    else:
+        name = dtype.str
+    if ndim is not None:
+        name += "_%dd" % ndim
+    if shape is not None:
+        name += "_"+"x".join(str(x) for x in shape)
+    if flags is not None:
+        name += "_"+"_".join(flags)
+
+    if dtype is not None and shape is not None:
+        base = _concrete_ndptr
+    else:
+        base = _ndptr
+
+    klass = type("ndpointer_%s"%name, (base,),
+                 {"_dtype_": dtype,
+                  "_shape_" : shape,
+                  "_ndim_" : ndim,
+                  "_flags_" : num})
+    _pointer_type_cache[cache_key] = klass
+    return klass
+
+
+if ctypes is not None:
+    def _ctype_ndarray(element_type, shape):
+        """ Create an ndarray of the given element type and shape """
+        for dim in shape[::-1]:
+            element_type = dim * element_type
+            # prevent the type name include np.ctypeslib
+            element_type.__module__ = None
+        return element_type
+
+
+    def _get_scalar_type_map():
+        """
+        Return a dictionary mapping native endian scalar dtype to ctypes types
+        """
+        ct = ctypes
+        simple_types = [
+            ct.c_byte, ct.c_short, ct.c_int, ct.c_long, ct.c_longlong,
+            ct.c_ubyte, ct.c_ushort, ct.c_uint, ct.c_ulong, ct.c_ulonglong,
+            ct.c_float, ct.c_double,
+            ct.c_bool,
+        ]
+        return {np.dtype(ctype): ctype for ctype in simple_types}
+
+
+    _scalar_type_map = _get_scalar_type_map()
+
+
+    def _ctype_from_dtype_scalar(dtype):
+        # swapping twice ensure that `=` is promoted to <, >, or |
+        dtype_with_endian = dtype.newbyteorder('S').newbyteorder('S')
+        dtype_native = dtype.newbyteorder('=')
+        try:
+            ctype = _scalar_type_map[dtype_native]
+        except KeyError as e:
+            raise NotImplementedError(
+                "Converting {!r} to a ctypes type".format(dtype)
+            ) from None
+
+        if dtype_with_endian.byteorder == '>':
+            ctype = ctype.__ctype_be__
+        elif dtype_with_endian.byteorder == '<':
+            ctype = ctype.__ctype_le__
+
+        return ctype
+
+
+    def _ctype_from_dtype_subarray(dtype):
+        element_dtype, shape = dtype.subdtype
+        ctype = _ctype_from_dtype(element_dtype)
+        return _ctype_ndarray(ctype, shape)
+
+
+    def _ctype_from_dtype_structured(dtype):
+        # extract offsets of each field
+        field_data = []
+        for name in dtype.names:
+            field_dtype, offset = dtype.fields[name][:2]
+            field_data.append((offset, name, _ctype_from_dtype(field_dtype)))
+
+        # ctypes doesn't care about field order
+        field_data = sorted(field_data, key=lambda f: f[0])
+
+        if len(field_data) > 1 and all(offset == 0 for offset, name, ctype in field_data):
+            # union, if multiple fields all at address 0
+            size = 0
+            _fields_ = []
+            for offset, name, ctype in field_data:
+                _fields_.append((name, ctype))
+                size = max(size, ctypes.sizeof(ctype))
+
+            # pad to the right size
+            if dtype.itemsize != size:
+                _fields_.append(('', ctypes.c_char * dtype.itemsize))
+
+            # we inserted manual padding, so always `_pack_`
+            return type('union', (ctypes.Union,), dict(
+                _fields_=_fields_,
+                _pack_=1,
+                __module__=None,
+            ))
+        else:
+            last_offset = 0
+            _fields_ = []
+            for offset, name, ctype in field_data:
+                padding = offset - last_offset
+                if padding < 0:
+                    raise NotImplementedError("Overlapping fields")
+                if padding > 0:
+                    _fields_.append(('', ctypes.c_char * padding))
+
+                _fields_.append((name, ctype))
+                last_offset = offset + ctypes.sizeof(ctype)
+
+
+            padding = dtype.itemsize - last_offset
+            if padding > 0:
+                _fields_.append(('', ctypes.c_char * padding))
+
+            # we inserted manual padding, so always `_pack_`
+            return type('struct', (ctypes.Structure,), dict(
+                _fields_=_fields_,
+                _pack_=1,
+                __module__=None,
+            ))
+
+
+    def _ctype_from_dtype(dtype):
+        if dtype.fields is not None:
+            return _ctype_from_dtype_structured(dtype)
+        elif dtype.subdtype is not None:
+            return _ctype_from_dtype_subarray(dtype)
+        else:
+            return _ctype_from_dtype_scalar(dtype)
+
+
+    def as_ctypes_type(dtype):
+        r"""
+        Convert a dtype into a ctypes type.
+
+        Parameters
+        ----------
+        dtype : dtype
+            The dtype to convert
+
+        Returns
+        -------
+        ctype
+            A ctype scalar, union, array, or struct
+
+        Raises
+        ------
+        NotImplementedError
+            If the conversion is not possible
+
+        Notes
+        -----
+        This function does not losslessly round-trip in either direction.
+
+        ``np.dtype(as_ctypes_type(dt))`` will:
+
+        - insert padding fields
+        - reorder fields to be sorted by offset
+        - discard field titles
+
+        ``as_ctypes_type(np.dtype(ctype))`` will:
+
+        - discard the class names of `ctypes.Structure`\ s and
+          `ctypes.Union`\ s
+        - convert single-element `ctypes.Union`\ s into single-element
+          `ctypes.Structure`\ s
+        - insert padding fields
+
+        Examples
+        --------
+        Converting a simple dtype:
+
+        >>> dt = np.dtype('int8')
+        >>> ctype = np.ctypeslib.as_ctypes_type(dt)
+        >>> ctype
+        
+
+        Converting a structured dtype:
+
+        >>> dt = np.dtype([('x', 'i4'), ('y', 'f4')])
+        >>> ctype = np.ctypeslib.as_ctypes_type(dt)
+        >>> ctype
+        
+
+        """
+        return _ctype_from_dtype(np.dtype(dtype))
+
+
+    def as_array(obj, shape=None):
+        """
+        Create a numpy array from a ctypes array or POINTER.
+
+        The numpy array shares the memory with the ctypes object.
+
+        The shape parameter must be given if converting from a ctypes POINTER.
+        The shape parameter is ignored if converting from a ctypes array
+
+        Examples
+        --------
+        Converting a ctypes integer array:
+
+        >>> import ctypes
+        >>> ctypes_array = (ctypes.c_int * 5)(0, 1, 2, 3, 4)
+        >>> np_array = np.ctypeslib.as_array(ctypes_array)
+        >>> np_array
+        array([0, 1, 2, 3, 4], dtype=int32)
+
+        Converting a ctypes POINTER:
+
+        >>> import ctypes
+        >>> buffer = (ctypes.c_int * 5)(0, 1, 2, 3, 4)
+        >>> pointer = ctypes.cast(buffer, ctypes.POINTER(ctypes.c_int))
+        >>> np_array = np.ctypeslib.as_array(pointer, (5,))
+        >>> np_array
+        array([0, 1, 2, 3, 4], dtype=int32)
+
+        """
+        if isinstance(obj, ctypes._Pointer):
+            # convert pointers to an array of the desired shape
+            if shape is None:
+                raise TypeError(
+                    'as_array() requires a shape argument when called on a '
+                    'pointer')
+            p_arr_type = ctypes.POINTER(_ctype_ndarray(obj._type_, shape))
+            obj = ctypes.cast(obj, p_arr_type).contents
+
+        return np.asarray(obj)
+
+
+    def as_ctypes(obj):
+        """
+        Create and return a ctypes object from a numpy array.  Actually
+        anything that exposes the __array_interface__ is accepted.
+
+        Examples
+        --------
+        Create ctypes object from inferred int ``np.array``:
+
+        >>> inferred_int_array = np.array([1, 2, 3])
+        >>> c_int_array = np.ctypeslib.as_ctypes(inferred_int_array)
+        >>> type(c_int_array)
+        
+        >>> c_int_array[:]
+        [1, 2, 3]
+
+        Create ctypes object from explicit 8 bit unsigned int ``np.array`` :
+
+        >>> exp_int_array = np.array([1, 2, 3], dtype=np.uint8)
+        >>> c_int_array = np.ctypeslib.as_ctypes(exp_int_array)
+        >>> type(c_int_array)
+        
+        >>> c_int_array[:]
+        [1, 2, 3]
+
+        """
+        ai = obj.__array_interface__
+        if ai["strides"]:
+            raise TypeError("strided arrays not supported")
+        if ai["version"] != 3:
+            raise TypeError("only __array_interface__ version 3 supported")
+        addr, readonly = ai["data"]
+        if readonly:
+            raise TypeError("readonly arrays unsupported")
+
+        # can't use `_dtype((ai["typestr"], ai["shape"]))` here, as it overflows
+        # dtype.itemsize (gh-14214)
+        ctype_scalar = as_ctypes_type(ai["typestr"])
+        result_type = _ctype_ndarray(ctype_scalar, ai["shape"])
+        result = result_type.from_address(addr)
+        result.__keep = obj
+        return result
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ctypeslib.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ctypeslib.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..fd5d994510711887c0a8eaa4734425c2b25530c9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ctypeslib.pyi
@@ -0,0 +1,250 @@
+# NOTE: Numpy's mypy plugin is used for importing the correct
+# platform-specific `ctypes._SimpleCData[int]` sub-type
+import ctypes
+from ctypes import c_int64 as _c_intp
+
+from _typeshed import StrOrBytesPath
+from collections.abc import Iterable, Sequence
+from typing import (
+    Literal as L,
+    Any,
+    TypeAlias,
+    TypeVar,
+    Generic,
+    overload,
+    ClassVar,
+)
+
+import numpy as np
+from numpy import (
+    ndarray,
+    dtype,
+    generic,
+    byte,
+    short,
+    intc,
+    long,
+    longlong,
+    ubyte,
+    ushort,
+    uintc,
+    ulong,
+    ulonglong,
+    single,
+    double,
+    longdouble,
+    void,
+)
+from numpy._core._internal import _ctypes
+from numpy._core.multiarray import flagsobj
+from numpy._typing import (
+    # Arrays
+    NDArray,
+    _ArrayLike,
+
+    # Shapes
+    _Shape,
+    _ShapeLike,
+
+    # DTypes
+    DTypeLike,
+    _DTypeLike,
+    _VoidDTypeLike,
+    _BoolCodes,
+    _UByteCodes,
+    _UShortCodes,
+    _UIntCCodes,
+    _ULongCodes,
+    _ULongLongCodes,
+    _ByteCodes,
+    _ShortCodes,
+    _IntCCodes,
+    _LongCodes,
+    _LongLongCodes,
+    _SingleCodes,
+    _DoubleCodes,
+    _LongDoubleCodes,
+)
+
+__all__ = ["load_library", "ndpointer", "c_intp", "as_ctypes", "as_array", "as_ctypes_type"]
+
+# TODO: Add a proper `_Shape` bound once we've got variadic typevars
+_DType = TypeVar("_DType", bound=dtype[Any])
+_DTypeOptional = TypeVar("_DTypeOptional", bound=None | dtype[Any])
+_SCT = TypeVar("_SCT", bound=generic)
+
+_FlagsKind: TypeAlias = L[
+    'C_CONTIGUOUS', 'CONTIGUOUS', 'C',
+    'F_CONTIGUOUS', 'FORTRAN', 'F',
+    'ALIGNED', 'A',
+    'WRITEABLE', 'W',
+    'OWNDATA', 'O',
+    'WRITEBACKIFCOPY', 'X',
+]
+
+# TODO: Add a shape typevar once we have variadic typevars (PEP 646)
+class _ndptr(ctypes.c_void_p, Generic[_DTypeOptional]):
+    # In practice these 4 classvars are defined in the dynamic class
+    # returned by `ndpointer`
+    _dtype_: ClassVar[_DTypeOptional]
+    _shape_: ClassVar[None]
+    _ndim_: ClassVar[None | int]
+    _flags_: ClassVar[None | list[_FlagsKind]]
+
+    @overload
+    @classmethod
+    def from_param(cls: type[_ndptr[None]], obj: NDArray[Any]) -> _ctypes[Any]: ...
+    @overload
+    @classmethod
+    def from_param(cls: type[_ndptr[_DType]], obj: ndarray[Any, _DType]) -> _ctypes[Any]: ...
+
+class _concrete_ndptr(_ndptr[_DType]):
+    _dtype_: ClassVar[_DType]
+    _shape_: ClassVar[tuple[int, ...]]
+    @property
+    def contents(self) -> ndarray[_Shape, _DType]: ...
+
+def load_library(libname: StrOrBytesPath, loader_path: StrOrBytesPath) -> ctypes.CDLL: ...
+
+c_intp = _c_intp
+
+@overload
+def ndpointer(
+    dtype: None = ...,
+    ndim: int = ...,
+    shape: None | _ShapeLike = ...,
+    flags: None | _FlagsKind | Iterable[_FlagsKind] | int | flagsobj = ...,
+) -> type[_ndptr[None]]: ...
+@overload
+def ndpointer(
+    dtype: _DTypeLike[_SCT],
+    ndim: int = ...,
+    *,
+    shape: _ShapeLike,
+    flags: None | _FlagsKind | Iterable[_FlagsKind] | int | flagsobj = ...,
+) -> type[_concrete_ndptr[dtype[_SCT]]]: ...
+@overload
+def ndpointer(
+    dtype: DTypeLike,
+    ndim: int = ...,
+    *,
+    shape: _ShapeLike,
+    flags: None | _FlagsKind | Iterable[_FlagsKind] | int | flagsobj = ...,
+) -> type[_concrete_ndptr[dtype[Any]]]: ...
+@overload
+def ndpointer(
+    dtype: _DTypeLike[_SCT],
+    ndim: int = ...,
+    shape: None = ...,
+    flags: None | _FlagsKind | Iterable[_FlagsKind] | int | flagsobj = ...,
+) -> type[_ndptr[dtype[_SCT]]]: ...
+@overload
+def ndpointer(
+    dtype: DTypeLike,
+    ndim: int = ...,
+    shape: None = ...,
+    flags: None | _FlagsKind | Iterable[_FlagsKind] | int | flagsobj = ...,
+) -> type[_ndptr[dtype[Any]]]: ...
+
+@overload
+def as_ctypes_type(dtype: _BoolCodes | _DTypeLike[np.bool] | type[ctypes.c_bool]) -> type[ctypes.c_bool]: ...
+@overload
+def as_ctypes_type(dtype: _ByteCodes | _DTypeLike[byte] | type[ctypes.c_byte]) -> type[ctypes.c_byte]: ...
+@overload
+def as_ctypes_type(dtype: _ShortCodes | _DTypeLike[short] | type[ctypes.c_short]) -> type[ctypes.c_short]: ...
+@overload
+def as_ctypes_type(dtype: _IntCCodes | _DTypeLike[intc] | type[ctypes.c_int]) -> type[ctypes.c_int]: ...
+@overload
+def as_ctypes_type(dtype: _LongCodes | _DTypeLike[long] | type[ctypes.c_long]) -> type[ctypes.c_long]: ...
+@overload
+def as_ctypes_type(dtype: type[int]) -> type[c_intp]: ...
+@overload
+def as_ctypes_type(dtype: _LongLongCodes | _DTypeLike[longlong] | type[ctypes.c_longlong]) -> type[ctypes.c_longlong]: ...
+@overload
+def as_ctypes_type(dtype: _UByteCodes | _DTypeLike[ubyte] | type[ctypes.c_ubyte]) -> type[ctypes.c_ubyte]: ...
+@overload
+def as_ctypes_type(dtype: _UShortCodes | _DTypeLike[ushort] | type[ctypes.c_ushort]) -> type[ctypes.c_ushort]: ...
+@overload
+def as_ctypes_type(dtype: _UIntCCodes | _DTypeLike[uintc] | type[ctypes.c_uint]) -> type[ctypes.c_uint]: ...
+@overload
+def as_ctypes_type(dtype: _ULongCodes | _DTypeLike[ulong] | type[ctypes.c_ulong]) -> type[ctypes.c_ulong]: ...
+@overload
+def as_ctypes_type(dtype: _ULongLongCodes | _DTypeLike[ulonglong] | type[ctypes.c_ulonglong]) -> type[ctypes.c_ulonglong]: ...
+@overload
+def as_ctypes_type(dtype: _SingleCodes | _DTypeLike[single] | type[ctypes.c_float]) -> type[ctypes.c_float]: ...
+@overload
+def as_ctypes_type(dtype: _DoubleCodes | _DTypeLike[double] | type[float | ctypes.c_double]) -> type[ctypes.c_double]: ...
+@overload
+def as_ctypes_type(dtype: _LongDoubleCodes | _DTypeLike[longdouble] | type[ctypes.c_longdouble]) -> type[ctypes.c_longdouble]: ...
+@overload
+def as_ctypes_type(dtype: _VoidDTypeLike) -> type[Any]: ...  # `ctypes.Union` or `ctypes.Structure`
+@overload
+def as_ctypes_type(dtype: str) -> type[Any]: ...
+
+@overload
+def as_array(obj: ctypes._PointerLike, shape: Sequence[int]) -> NDArray[Any]: ...
+@overload
+def as_array(obj: _ArrayLike[_SCT], shape: None | _ShapeLike = ...) -> NDArray[_SCT]: ...
+@overload
+def as_array(obj: object, shape: None | _ShapeLike = ...) -> NDArray[Any]: ...
+
+@overload
+def as_ctypes(obj: np.bool) -> ctypes.c_bool: ...
+@overload
+def as_ctypes(obj: byte) -> ctypes.c_byte: ...
+@overload
+def as_ctypes(obj: short) -> ctypes.c_short: ...
+@overload
+def as_ctypes(obj: intc) -> ctypes.c_int: ...
+@overload
+def as_ctypes(obj: long) -> ctypes.c_long: ...
+@overload
+def as_ctypes(obj: longlong) -> ctypes.c_longlong: ...
+@overload
+def as_ctypes(obj: ubyte) -> ctypes.c_ubyte: ...
+@overload
+def as_ctypes(obj: ushort) -> ctypes.c_ushort: ...
+@overload
+def as_ctypes(obj: uintc) -> ctypes.c_uint: ...
+@overload
+def as_ctypes(obj: ulong) -> ctypes.c_ulong: ...
+@overload
+def as_ctypes(obj: ulonglong) -> ctypes.c_ulonglong: ...
+@overload
+def as_ctypes(obj: single) -> ctypes.c_float: ...
+@overload
+def as_ctypes(obj: double) -> ctypes.c_double: ...
+@overload
+def as_ctypes(obj: longdouble) -> ctypes.c_longdouble: ...
+@overload
+def as_ctypes(obj: void) -> Any: ...  # `ctypes.Union` or `ctypes.Structure`
+@overload
+def as_ctypes(obj: NDArray[np.bool]) -> ctypes.Array[ctypes.c_bool]: ...
+@overload
+def as_ctypes(obj: NDArray[byte]) -> ctypes.Array[ctypes.c_byte]: ...
+@overload
+def as_ctypes(obj: NDArray[short]) -> ctypes.Array[ctypes.c_short]: ...
+@overload
+def as_ctypes(obj: NDArray[intc]) -> ctypes.Array[ctypes.c_int]: ...
+@overload
+def as_ctypes(obj: NDArray[long]) -> ctypes.Array[ctypes.c_long]: ...
+@overload
+def as_ctypes(obj: NDArray[longlong]) -> ctypes.Array[ctypes.c_longlong]: ...
+@overload
+def as_ctypes(obj: NDArray[ubyte]) -> ctypes.Array[ctypes.c_ubyte]: ...
+@overload
+def as_ctypes(obj: NDArray[ushort]) -> ctypes.Array[ctypes.c_ushort]: ...
+@overload
+def as_ctypes(obj: NDArray[uintc]) -> ctypes.Array[ctypes.c_uint]: ...
+@overload
+def as_ctypes(obj: NDArray[ulong]) -> ctypes.Array[ctypes.c_ulong]: ...
+@overload
+def as_ctypes(obj: NDArray[ulonglong]) -> ctypes.Array[ctypes.c_ulonglong]: ...
+@overload
+def as_ctypes(obj: NDArray[single]) -> ctypes.Array[ctypes.c_float]: ...
+@overload
+def as_ctypes(obj: NDArray[double]) -> ctypes.Array[ctypes.c_double]: ...
+@overload
+def as_ctypes(obj: NDArray[longdouble]) -> ctypes.Array[ctypes.c_longdouble]: ...
+@overload
+def as_ctypes(obj: NDArray[void]) -> ctypes.Array[Any]: ...  # `ctypes.Union` or `ctypes.Structure`
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..f74ed4d3f6dbed79dd9cd8284ebd596853204398
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/__init__.py
@@ -0,0 +1,64 @@
+"""
+An enhanced distutils, providing support for Fortran compilers, for BLAS,
+LAPACK and other common libraries for numerical computing, and more.
+
+Public submodules are::
+
+    misc_util
+    system_info
+    cpu_info
+    log
+    exec_command
+
+For details, please see the *Packaging* and *NumPy Distutils User Guide*
+sections of the NumPy Reference Guide.
+
+For configuring the preference for and location of libraries like BLAS and
+LAPACK, and for setting include paths and similar build options, please see
+``site.cfg.example`` in the root of the NumPy repository or sdist.
+
+"""
+
+import warnings
+
+# Must import local ccompiler ASAP in order to get
+# customized CCompiler.spawn effective.
+from . import ccompiler
+from . import unixccompiler
+
+from .npy_pkg_config import *
+
+warnings.warn("\n\n"
+    "  `numpy.distutils` is deprecated since NumPy 1.23.0, as a result\n"
+    "  of the deprecation of `distutils` itself. It will be removed for\n"
+    "  Python >= 3.12. For older Python versions it will remain present.\n"
+    "  It is recommended to use `setuptools < 60.0` for those Python versions.\n"
+    "  For more details, see:\n"
+    "    https://numpy.org/devdocs/reference/distutils_status_migration.html \n\n",
+    DeprecationWarning, stacklevel=2
+)
+del warnings
+
+# If numpy is installed, add distutils.test()
+try:
+    from . import __config__
+    # Normally numpy is installed if the above import works, but an interrupted
+    # in-place build could also have left a __config__.py.  In that case the
+    # next import may still fail, so keep it inside the try block.
+    from numpy._pytesttester import PytestTester
+    test = PytestTester(__name__)
+    del PytestTester
+except ImportError:
+    pass
+
+
+def customized_fcompiler(plat=None, compiler=None):
+    from numpy.distutils.fcompiler import new_fcompiler
+    c = new_fcompiler(plat=plat, compiler=compiler)
+    c.customize()
+    return c
+
+def customized_ccompiler(plat=None, compiler=None, verbose=1):
+    c = ccompiler.new_compiler(plat=plat, compiler=compiler, verbose=verbose)
+    c.customize('')
+    return c
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/__init__.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..3938d68de14c3f83f9278b5d6b6a151a28549a0d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/__init__.pyi
@@ -0,0 +1,4 @@
+from typing import Any
+
+# TODO: remove when the full numpy namespace is defined
+def __getattr__(name: str) -> Any: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/_shell_utils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/_shell_utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..9a1c8ce718c936cbb59d3c232cfd75d354445091
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/_shell_utils.py
@@ -0,0 +1,87 @@
+"""
+Helper functions for interacting with the shell, and consuming shell-style
+parameters provided in config files.
+"""
+import os
+import shlex
+import subprocess
+
+__all__ = ['WindowsParser', 'PosixParser', 'NativeParser']
+
+
+class CommandLineParser:
+    """
+    An object that knows how to split and join command-line arguments.
+
+    It must be true that ``argv == split(join(argv))`` for all ``argv``.
+    The reverse neednt be true - `join(split(cmd))` may result in the addition
+    or removal of unnecessary escaping.
+    """
+    @staticmethod
+    def join(argv):
+        """ Join a list of arguments into a command line string """
+        raise NotImplementedError
+
+    @staticmethod
+    def split(cmd):
+        """ Split a command line string into a list of arguments """
+        raise NotImplementedError
+
+
+class WindowsParser:
+    """
+    The parsing behavior used by `subprocess.call("string")` on Windows, which
+    matches the Microsoft C/C++ runtime.
+
+    Note that this is _not_ the behavior of cmd.
+    """
+    @staticmethod
+    def join(argv):
+        # note that list2cmdline is specific to the windows syntax
+        return subprocess.list2cmdline(argv)
+
+    @staticmethod
+    def split(cmd):
+        import ctypes  # guarded import for systems without ctypes
+        try:
+            ctypes.windll
+        except AttributeError:
+            raise NotImplementedError
+
+        # Windows has special parsing rules for the executable (no quotes),
+        # that we do not care about - insert a dummy element
+        if not cmd:
+            return []
+        cmd = 'dummy ' + cmd
+
+        CommandLineToArgvW = ctypes.windll.shell32.CommandLineToArgvW
+        CommandLineToArgvW.restype = ctypes.POINTER(ctypes.c_wchar_p)
+        CommandLineToArgvW.argtypes = (ctypes.c_wchar_p, ctypes.POINTER(ctypes.c_int))
+
+        nargs = ctypes.c_int()
+        lpargs = CommandLineToArgvW(cmd, ctypes.byref(nargs))
+        args = [lpargs[i] for i in range(nargs.value)]
+        assert not ctypes.windll.kernel32.LocalFree(lpargs)
+
+        # strip the element we inserted
+        assert args[0] == "dummy"
+        return args[1:]
+
+
+class PosixParser:
+    """
+    The parsing behavior used by `subprocess.call("string", shell=True)` on Posix.
+    """
+    @staticmethod
+    def join(argv):
+        return ' '.join(shlex.quote(arg) for arg in argv)
+
+    @staticmethod
+    def split(cmd):
+        return shlex.split(cmd, posix=True)
+
+
+if os.name == 'nt':
+    NativeParser = WindowsParser
+elif os.name == 'posix':
+    NativeParser = PosixParser
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/armccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/armccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..afba7eb3b3529835e59a52b42f7b143225faf465
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/armccompiler.py
@@ -0,0 +1,26 @@
+from distutils.unixccompiler import UnixCCompiler                              
+
+class ArmCCompiler(UnixCCompiler):
+
+    """
+    Arm compiler.
+    """
+
+    compiler_type = 'arm'
+    cc_exe = 'armclang'
+    cxx_exe = 'armclang++'
+
+    def __init__(self, verbose=0, dry_run=0, force=0):
+        UnixCCompiler.__init__(self, verbose, dry_run, force)
+        cc_compiler = self.cc_exe
+        cxx_compiler = self.cxx_exe
+        self.set_executables(compiler=cc_compiler +
+                                      ' -O3 -fPIC',
+                             compiler_so=cc_compiler +
+                                         ' -O3 -fPIC',
+                             compiler_cxx=cxx_compiler +
+                                          ' -O3 -fPIC',
+                             linker_exe=cc_compiler +
+                                        ' -lamath',
+                             linker_so=cc_compiler +
+                                       ' -lamath -shared')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/ccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/ccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..99f336af158466dd98faeaaf9be8560d6c0ea4f6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/ccompiler.py
@@ -0,0 +1,826 @@
+import os
+import re
+import sys
+import platform
+import shlex
+import time
+import subprocess
+from copy import copy
+from pathlib import Path
+from distutils import ccompiler
+from distutils.ccompiler import (
+    compiler_class, gen_lib_options, get_default_compiler, new_compiler,
+    CCompiler
+)
+from distutils.errors import (
+    DistutilsExecError, DistutilsModuleError, DistutilsPlatformError,
+    CompileError, UnknownFileError
+)
+from distutils.sysconfig import customize_compiler
+from distutils.version import LooseVersion
+
+from numpy.distutils import log
+from numpy.distutils.exec_command import (
+    filepath_from_subprocess_output, forward_bytes_to_stdout
+)
+from numpy.distutils.misc_util import cyg2win32, is_sequence, mingw32, \
+                                      get_num_build_jobs, \
+                                      _commandline_dep_string, \
+                                      sanitize_cxx_flags
+
+# globals for parallel build management
+import threading
+
+_job_semaphore = None
+_global_lock = threading.Lock()
+_processing_files = set()
+
+
+def _needs_build(obj, cc_args, extra_postargs, pp_opts):
+    """
+    Check if an objects needs to be rebuild based on its dependencies
+
+    Parameters
+    ----------
+    obj : str
+        object file
+
+    Returns
+    -------
+    bool
+    """
+    # defined in unixcompiler.py
+    dep_file = obj + '.d'
+    if not os.path.exists(dep_file):
+        return True
+
+    # dep_file is a makefile containing 'object: dependencies'
+    # formatted like posix shell (spaces escaped, \ line continuations)
+    # the last line contains the compiler commandline arguments as some
+    # projects may compile an extension multiple times with different
+    # arguments
+    with open(dep_file) as f:
+        lines = f.readlines()
+
+    cmdline =_commandline_dep_string(cc_args, extra_postargs, pp_opts)
+    last_cmdline = lines[-1]
+    if last_cmdline != cmdline:
+        return True
+
+    contents = ''.join(lines[:-1])
+    deps = [x for x in shlex.split(contents, posix=True)
+            if x != "\n" and not x.endswith(":")]
+
+    try:
+        t_obj = os.stat(obj).st_mtime
+
+        # check if any of the dependencies is newer than the object
+        # the dependencies includes the source used to create the object
+        for f in deps:
+            if os.stat(f).st_mtime > t_obj:
+                return True
+    except OSError:
+        # no object counts as newer (shouldn't happen if dep_file exists)
+        return True
+
+    return False
+
+
+def replace_method(klass, method_name, func):
+    # Py3k does not have unbound method anymore, MethodType does not work
+    m = lambda self, *args, **kw: func(self, *args, **kw)
+    setattr(klass, method_name, m)
+
+
+######################################################################
+## Method that subclasses may redefine. But don't call this method,
+## it i private to CCompiler class and may return unexpected
+## results if used elsewhere. So, you have been warned..
+
+def CCompiler_find_executables(self):
+    """
+    Does nothing here, but is called by the get_version method and can be
+    overridden by subclasses. In particular it is redefined in the `FCompiler`
+    class where more documentation can be found.
+
+    """
+    pass
+
+
+replace_method(CCompiler, 'find_executables', CCompiler_find_executables)
+
+
+# Using customized CCompiler.spawn.
+def CCompiler_spawn(self, cmd, display=None, env=None):
+    """
+    Execute a command in a sub-process.
+
+    Parameters
+    ----------
+    cmd : str
+        The command to execute.
+    display : str or sequence of str, optional
+        The text to add to the log file kept by `numpy.distutils`.
+        If not given, `display` is equal to `cmd`.
+    env : a dictionary for environment variables, optional
+
+    Returns
+    -------
+    None
+
+    Raises
+    ------
+    DistutilsExecError
+        If the command failed, i.e. the exit status was not 0.
+
+    """
+    env = env if env is not None else dict(os.environ)
+    if display is None:
+        display = cmd
+        if is_sequence(display):
+            display = ' '.join(list(display))
+    log.info(display)
+    try:
+        if self.verbose:
+            subprocess.check_output(cmd, env=env)
+        else:
+            subprocess.check_output(cmd, stderr=subprocess.STDOUT, env=env)
+    except subprocess.CalledProcessError as exc:
+        o = exc.output
+        s = exc.returncode
+    except OSError as e:
+        # OSError doesn't have the same hooks for the exception
+        # output, but exec_command() historically would use an
+        # empty string for EnvironmentError (base class for
+        # OSError)
+        # o = b''
+        # still that would make the end-user lost in translation!
+        o = f"\n\n{e}\n\n\n"
+        try:
+            o = o.encode(sys.stdout.encoding)
+        except AttributeError:
+            o = o.encode('utf8')
+        # status previously used by exec_command() for parent
+        # of OSError
+        s = 127
+    else:
+        # use a convenience return here so that any kind of
+        # caught exception will execute the default code after the
+        # try / except block, which handles various exceptions
+        return None
+
+    if is_sequence(cmd):
+        cmd = ' '.join(list(cmd))
+
+    if self.verbose:
+        forward_bytes_to_stdout(o)
+
+    if re.search(b'Too many open files', o):
+        msg = '\nTry rerunning setup command until build succeeds.'
+    else:
+        msg = ''
+    raise DistutilsExecError('Command "%s" failed with exit status %d%s' %
+                            (cmd, s, msg))
+
+replace_method(CCompiler, 'spawn', CCompiler_spawn)
+
+def CCompiler_object_filenames(self, source_filenames, strip_dir=0, output_dir=''):
+    """
+    Return the name of the object files for the given source files.
+
+    Parameters
+    ----------
+    source_filenames : list of str
+        The list of paths to source files. Paths can be either relative or
+        absolute, this is handled transparently.
+    strip_dir : bool, optional
+        Whether to strip the directory from the returned paths. If True,
+        the file name prepended by `output_dir` is returned. Default is False.
+    output_dir : str, optional
+        If given, this path is prepended to the returned paths to the
+        object files.
+
+    Returns
+    -------
+    obj_names : list of str
+        The list of paths to the object files corresponding to the source
+        files in `source_filenames`.
+
+    """
+    if output_dir is None:
+        output_dir = ''
+    obj_names = []
+    for src_name in source_filenames:
+        base, ext = os.path.splitext(os.path.normpath(src_name))
+        base = os.path.splitdrive(base)[1] # Chop off the drive
+        base = base[os.path.isabs(base):]  # If abs, chop off leading /
+        if base.startswith('..'):
+            # Resolve starting relative path components, middle ones
+            # (if any) have been handled by os.path.normpath above.
+            i = base.rfind('..')+2
+            d = base[:i]
+            d = os.path.basename(os.path.abspath(d))
+            base = d + base[i:]
+        if ext not in self.src_extensions:
+            raise UnknownFileError("unknown file type '%s' (from '%s')" % (ext, src_name))
+        if strip_dir:
+            base = os.path.basename(base)
+        obj_name = os.path.join(output_dir, base + self.obj_extension)
+        obj_names.append(obj_name)
+    return obj_names
+
+replace_method(CCompiler, 'object_filenames', CCompiler_object_filenames)
+
+def CCompiler_compile(self, sources, output_dir=None, macros=None,
+                      include_dirs=None, debug=0, extra_preargs=None,
+                      extra_postargs=None, depends=None):
+    """
+    Compile one or more source files.
+
+    Please refer to the Python distutils API reference for more details.
+
+    Parameters
+    ----------
+    sources : list of str
+        A list of filenames
+    output_dir : str, optional
+        Path to the output directory.
+    macros : list of tuples
+        A list of macro definitions.
+    include_dirs : list of str, optional
+        The directories to add to the default include file search path for
+        this compilation only.
+    debug : bool, optional
+        Whether or not to output debug symbols in or alongside the object
+        file(s).
+    extra_preargs, extra_postargs : ?
+        Extra pre- and post-arguments.
+    depends : list of str, optional
+        A list of file names that all targets depend on.
+
+    Returns
+    -------
+    objects : list of str
+        A list of object file names, one per source file `sources`.
+
+    Raises
+    ------
+    CompileError
+        If compilation fails.
+
+    """
+    global _job_semaphore
+
+    jobs = get_num_build_jobs()
+
+    # setup semaphore to not exceed number of compile jobs when parallelized at
+    # extension level (python >= 3.5)
+    with _global_lock:
+        if _job_semaphore is None:
+            _job_semaphore = threading.Semaphore(jobs)
+
+    if not sources:
+        return []
+    from numpy.distutils.fcompiler import (FCompiler,
+                                           FORTRAN_COMMON_FIXED_EXTENSIONS,
+                                           has_f90_header)
+    if isinstance(self, FCompiler):
+        display = []
+        for fc in ['f77', 'f90', 'fix']:
+            fcomp = getattr(self, 'compiler_'+fc)
+            if fcomp is None:
+                continue
+            display.append("Fortran %s compiler: %s" % (fc, ' '.join(fcomp)))
+        display = '\n'.join(display)
+    else:
+        ccomp = self.compiler_so
+        display = "C compiler: %s\n" % (' '.join(ccomp),)
+    log.info(display)
+    macros, objects, extra_postargs, pp_opts, build = \
+            self._setup_compile(output_dir, macros, include_dirs, sources,
+                                depends, extra_postargs)
+    cc_args = self._get_cc_args(pp_opts, debug, extra_preargs)
+    display = "compile options: '%s'" % (' '.join(cc_args))
+    if extra_postargs:
+        display += "\nextra options: '%s'" % (' '.join(extra_postargs))
+    log.info(display)
+
+    def single_compile(args):
+        obj, (src, ext) = args
+        if not _needs_build(obj, cc_args, extra_postargs, pp_opts):
+            return
+
+        # check if we are currently already processing the same object
+        # happens when using the same source in multiple extensions
+        while True:
+            # need explicit lock as there is no atomic check and add with GIL
+            with _global_lock:
+                # file not being worked on, start working
+                if obj not in _processing_files:
+                    _processing_files.add(obj)
+                    break
+            # wait for the processing to end
+            time.sleep(0.1)
+
+        try:
+            # retrieve slot from our #job semaphore and build
+            with _job_semaphore:
+                self._compile(obj, src, ext, cc_args, extra_postargs, pp_opts)
+        finally:
+            # register being done processing
+            with _global_lock:
+                _processing_files.remove(obj)
+
+
+    if isinstance(self, FCompiler):
+        objects_to_build = list(build.keys())
+        f77_objects, other_objects = [], []
+        for obj in objects:
+            if obj in objects_to_build:
+                src, ext = build[obj]
+                if self.compiler_type=='absoft':
+                    obj = cyg2win32(obj)
+                    src = cyg2win32(src)
+                if Path(src).suffix.lower() in FORTRAN_COMMON_FIXED_EXTENSIONS \
+                   and not has_f90_header(src):
+                    f77_objects.append((obj, (src, ext)))
+                else:
+                    other_objects.append((obj, (src, ext)))
+
+        # f77 objects can be built in parallel
+        build_items = f77_objects
+        # build f90 modules serial, module files are generated during
+        # compilation and may be used by files later in the list so the
+        # ordering is important
+        for o in other_objects:
+            single_compile(o)
+    else:
+        build_items = build.items()
+
+    if len(build) > 1 and jobs > 1:
+        # build parallel
+        from concurrent.futures import ThreadPoolExecutor
+        with ThreadPoolExecutor(jobs) as pool:
+            res = pool.map(single_compile, build_items)
+        list(res)  # access result to raise errors
+    else:
+        # build serial
+        for o in build_items:
+            single_compile(o)
+
+    # Return *all* object filenames, not just the ones we just built.
+    return objects
+
+replace_method(CCompiler, 'compile', CCompiler_compile)
+
+def CCompiler_customize_cmd(self, cmd, ignore=()):
+    """
+    Customize compiler using distutils command.
+
+    Parameters
+    ----------
+    cmd : class instance
+        An instance inheriting from ``distutils.cmd.Command``.
+    ignore : sequence of str, optional
+        List of ``distutils.ccompiler.CCompiler`` commands (without ``'set_'``) that should not be
+        altered. Strings that are checked for are:
+        ``('include_dirs', 'define', 'undef', 'libraries', 'library_dirs',
+        'rpath', 'link_objects')``.
+
+    Returns
+    -------
+    None
+
+    """
+    log.info('customize %s using %s' % (self.__class__.__name__,
+                                        cmd.__class__.__name__))
+
+    if (
+        hasattr(self, 'compiler') and
+        'clang' in self.compiler[0] and
+        not (platform.machine() == 'arm64' and sys.platform == 'darwin')
+    ):
+        # clang defaults to a non-strict floating error point model.
+        # However, '-ftrapping-math' is not currently supported (2023-04-08)
+        # for macosx_arm64.
+        # Since NumPy and most Python libs give warnings for these, override:
+        self.compiler.append('-ftrapping-math')
+        self.compiler_so.append('-ftrapping-math')
+
+    def allow(attr):
+        return getattr(cmd, attr, None) is not None and attr not in ignore
+
+    if allow('include_dirs'):
+        self.set_include_dirs(cmd.include_dirs)
+    if allow('define'):
+        for (name, value) in cmd.define:
+            self.define_macro(name, value)
+    if allow('undef'):
+        for macro in cmd.undef:
+            self.undefine_macro(macro)
+    if allow('libraries'):
+        self.set_libraries(self.libraries + cmd.libraries)
+    if allow('library_dirs'):
+        self.set_library_dirs(self.library_dirs + cmd.library_dirs)
+    if allow('rpath'):
+        self.set_runtime_library_dirs(cmd.rpath)
+    if allow('link_objects'):
+        self.set_link_objects(cmd.link_objects)
+
+replace_method(CCompiler, 'customize_cmd', CCompiler_customize_cmd)
+
+def _compiler_to_string(compiler):
+    props = []
+    mx = 0
+    keys = list(compiler.executables.keys())
+    for key in ['version', 'libraries', 'library_dirs',
+                'object_switch', 'compile_switch',
+                'include_dirs', 'define', 'undef', 'rpath', 'link_objects']:
+        if key not in keys:
+            keys.append(key)
+    for key in keys:
+        if hasattr(compiler, key):
+            v = getattr(compiler, key)
+            mx = max(mx, len(key))
+            props.append((key, repr(v)))
+    fmt = '%-' + repr(mx+1) + 's = %s'
+    lines = [fmt % prop for prop in props]
+    return '\n'.join(lines)
+
+def CCompiler_show_customization(self):
+    """
+    Print the compiler customizations to stdout.
+
+    Parameters
+    ----------
+    None
+
+    Returns
+    -------
+    None
+
+    Notes
+    -----
+    Printing is only done if the distutils log threshold is < 2.
+
+    """
+    try:
+        self.get_version()
+    except Exception:
+        pass
+    if log._global_log.threshold<2:
+        print('*'*80)
+        print(self.__class__)
+        print(_compiler_to_string(self))
+        print('*'*80)
+
+replace_method(CCompiler, 'show_customization', CCompiler_show_customization)
+
+def CCompiler_customize(self, dist, need_cxx=0):
+    """
+    Do any platform-specific customization of a compiler instance.
+
+    This method calls ``distutils.sysconfig.customize_compiler`` for
+    platform-specific customization, as well as optionally remove a flag
+    to suppress spurious warnings in case C++ code is being compiled.
+
+    Parameters
+    ----------
+    dist : object
+        This parameter is not used for anything.
+    need_cxx : bool, optional
+        Whether or not C++ has to be compiled. If so (True), the
+        ``"-Wstrict-prototypes"`` option is removed to prevent spurious
+        warnings. Default is False.
+
+    Returns
+    -------
+    None
+
+    Notes
+    -----
+    All the default options used by distutils can be extracted with::
+
+      from distutils import sysconfig
+      sysconfig.get_config_vars('CC', 'CXX', 'OPT', 'BASECFLAGS',
+                                'CCSHARED', 'LDSHARED', 'SO')
+
+    """
+    # See FCompiler.customize for suggested usage.
+    log.info('customize %s' % (self.__class__.__name__))
+    customize_compiler(self)
+    if need_cxx:
+        # In general, distutils uses -Wstrict-prototypes, but this option is
+        # not valid for C++ code, only for C.  Remove it if it's there to
+        # avoid a spurious warning on every compilation.
+        try:
+            self.compiler_so.remove('-Wstrict-prototypes')
+        except (AttributeError, ValueError):
+            pass
+
+        if hasattr(self, 'compiler') and 'cc' in self.compiler[0]:
+            if not self.compiler_cxx:
+                if self.compiler[0].startswith('gcc'):
+                    a, b = 'gcc', 'g++'
+                else:
+                    a, b = 'cc', 'c++'
+                self.compiler_cxx = [self.compiler[0].replace(a, b)]\
+                                    + self.compiler[1:]
+        else:
+            if hasattr(self, 'compiler'):
+                log.warn("#### %s #######" % (self.compiler,))
+            if not hasattr(self, 'compiler_cxx'):
+                log.warn('Missing compiler_cxx fix for ' + self.__class__.__name__)
+
+
+    # check if compiler supports gcc style automatic dependencies
+    # run on every extension so skip for known good compilers
+    if hasattr(self, 'compiler') and ('gcc' in self.compiler[0] or
+                                      'g++' in self.compiler[0] or
+                                      'clang' in self.compiler[0]):
+        self._auto_depends = True
+    elif os.name == 'posix':
+        import tempfile
+        import shutil
+        tmpdir = tempfile.mkdtemp()
+        try:
+            fn = os.path.join(tmpdir, "file.c")
+            with open(fn, "w") as f:
+                f.write("int a;\n")
+            self.compile([fn], output_dir=tmpdir,
+                         extra_preargs=['-MMD', '-MF', fn + '.d'])
+            self._auto_depends = True
+        except CompileError:
+            self._auto_depends = False
+        finally:
+            shutil.rmtree(tmpdir)
+
+    return
+
+replace_method(CCompiler, 'customize', CCompiler_customize)
+
+def simple_version_match(pat=r'[-.\d]+', ignore='', start=''):
+    """
+    Simple matching of version numbers, for use in CCompiler and FCompiler.
+
+    Parameters
+    ----------
+    pat : str, optional
+        A regular expression matching version numbers.
+        Default is ``r'[-.\\d]+'``.
+    ignore : str, optional
+        A regular expression matching patterns to skip.
+        Default is ``''``, in which case nothing is skipped.
+    start : str, optional
+        A regular expression matching the start of where to start looking
+        for version numbers.
+        Default is ``''``, in which case searching is started at the
+        beginning of the version string given to `matcher`.
+
+    Returns
+    -------
+    matcher : callable
+        A function that is appropriate to use as the ``.version_match``
+        attribute of a ``distutils.ccompiler.CCompiler`` class. `matcher` takes a single parameter,
+        a version string.
+
+    """
+    def matcher(self, version_string):
+        # version string may appear in the second line, so getting rid
+        # of new lines:
+        version_string = version_string.replace('\n', ' ')
+        pos = 0
+        if start:
+            m = re.match(start, version_string)
+            if not m:
+                return None
+            pos = m.end()
+        while True:
+            m = re.search(pat, version_string[pos:])
+            if not m:
+                return None
+            if ignore and re.match(ignore, m.group(0)):
+                pos = m.end()
+                continue
+            break
+        return m.group(0)
+    return matcher
+
+def CCompiler_get_version(self, force=False, ok_status=[0]):
+    """
+    Return compiler version, or None if compiler is not available.
+
+    Parameters
+    ----------
+    force : bool, optional
+        If True, force a new determination of the version, even if the
+        compiler already has a version attribute. Default is False.
+    ok_status : list of int, optional
+        The list of status values returned by the version look-up process
+        for which a version string is returned. If the status value is not
+        in `ok_status`, None is returned. Default is ``[0]``.
+
+    Returns
+    -------
+    version : str or None
+        Version string, in the format of ``distutils.version.LooseVersion``.
+
+    """
+    if not force and hasattr(self, 'version'):
+        return self.version
+    self.find_executables()
+    try:
+        version_cmd = self.version_cmd
+    except AttributeError:
+        return None
+    if not version_cmd or not version_cmd[0]:
+        return None
+    try:
+        matcher = self.version_match
+    except AttributeError:
+        try:
+            pat = self.version_pattern
+        except AttributeError:
+            return None
+        def matcher(version_string):
+            m = re.match(pat, version_string)
+            if not m:
+                return None
+            version = m.group('version')
+            return version
+
+    try:
+        output = subprocess.check_output(version_cmd, stderr=subprocess.STDOUT)
+    except subprocess.CalledProcessError as exc:
+        output = exc.output
+        status = exc.returncode
+    except OSError:
+        # match the historical returns for a parent
+        # exception class caught by exec_command()
+        status = 127
+        output = b''
+    else:
+        # output isn't actually a filepath but we do this
+        # for now to match previous distutils behavior
+        output = filepath_from_subprocess_output(output)
+        status = 0
+
+    version = None
+    if status in ok_status:
+        version = matcher(output)
+        if version:
+            version = LooseVersion(version)
+    self.version = version
+    return version
+
+replace_method(CCompiler, 'get_version', CCompiler_get_version)
+
+def CCompiler_cxx_compiler(self):
+    """
+    Return the C++ compiler.
+
+    Parameters
+    ----------
+    None
+
+    Returns
+    -------
+    cxx : class instance
+        The C++ compiler, as a ``distutils.ccompiler.CCompiler`` instance.
+
+    """
+    if self.compiler_type in ('msvc', 'intelw', 'intelemw'):
+        return self
+
+    cxx = copy(self)
+    cxx.compiler_cxx = cxx.compiler_cxx
+    cxx.compiler_so = [cxx.compiler_cxx[0]] + \
+                      sanitize_cxx_flags(cxx.compiler_so[1:])
+    if (sys.platform.startswith(('aix', 'os400')) and
+            'ld_so_aix' in cxx.linker_so[0]):
+        # AIX needs the ld_so_aix script included with Python
+        cxx.linker_so = [cxx.linker_so[0], cxx.compiler_cxx[0]] \
+                        + cxx.linker_so[2:]
+    if sys.platform.startswith('os400'):
+        #This is required by i 7.4 and prievous for PRId64 in printf() call.
+        cxx.compiler_so.append('-D__STDC_FORMAT_MACROS')
+        #This a bug of gcc10.3, which failed to handle the TLS init.
+        cxx.compiler_so.append('-fno-extern-tls-init')
+        cxx.linker_so.append('-fno-extern-tls-init')
+    else:
+        cxx.linker_so = [cxx.compiler_cxx[0]] + cxx.linker_so[1:]
+    return cxx
+
+replace_method(CCompiler, 'cxx_compiler', CCompiler_cxx_compiler)
+
+compiler_class['intel'] = ('intelccompiler', 'IntelCCompiler',
+                           "Intel C Compiler for 32-bit applications")
+compiler_class['intele'] = ('intelccompiler', 'IntelItaniumCCompiler',
+                            "Intel C Itanium Compiler for Itanium-based applications")
+compiler_class['intelem'] = ('intelccompiler', 'IntelEM64TCCompiler',
+                             "Intel C Compiler for 64-bit applications")
+compiler_class['intelw'] = ('intelccompiler', 'IntelCCompilerW',
+                            "Intel C Compiler for 32-bit applications on Windows")
+compiler_class['intelemw'] = ('intelccompiler', 'IntelEM64TCCompilerW',
+                              "Intel C Compiler for 64-bit applications on Windows")
+compiler_class['pathcc'] = ('pathccompiler', 'PathScaleCCompiler',
+                            "PathScale Compiler for SiCortex-based applications")
+compiler_class['arm'] = ('armccompiler', 'ArmCCompiler',
+                            "Arm C Compiler")
+compiler_class['fujitsu'] = ('fujitsuccompiler', 'FujitsuCCompiler',
+                            "Fujitsu C Compiler")
+
+ccompiler._default_compilers += (('linux.*', 'intel'),
+                                 ('linux.*', 'intele'),
+                                 ('linux.*', 'intelem'),
+                                 ('linux.*', 'pathcc'),
+                                 ('nt', 'intelw'),
+                                 ('nt', 'intelemw'))
+
+if sys.platform == 'win32':
+    compiler_class['mingw32'] = ('mingw32ccompiler', 'Mingw32CCompiler',
+                                 "Mingw32 port of GNU C Compiler for Win32"\
+                                 "(for MSC built Python)")
+    if mingw32():
+        # On windows platforms, we want to default to mingw32 (gcc)
+        # because msvc can't build blitz stuff.
+        log.info('Setting mingw32 as default compiler for nt.')
+        ccompiler._default_compilers = (('nt', 'mingw32'),) \
+                                       + ccompiler._default_compilers
+
+
+_distutils_new_compiler = new_compiler
+def new_compiler (plat=None,
+                  compiler=None,
+                  verbose=None,
+                  dry_run=0,
+                  force=0):
+    # Try first C compilers from numpy.distutils.
+    if verbose is None:
+        verbose = log.get_threshold() <= log.INFO
+    if plat is None:
+        plat = os.name
+    try:
+        if compiler is None:
+            compiler = get_default_compiler(plat)
+        (module_name, class_name, long_description) = compiler_class[compiler]
+    except KeyError:
+        msg = "don't know how to compile C/C++ code on platform '%s'" % plat
+        if compiler is not None:
+            msg = msg + " with '%s' compiler" % compiler
+        raise DistutilsPlatformError(msg)
+    module_name = "numpy.distutils." + module_name
+    try:
+        __import__ (module_name)
+    except ImportError as e:
+        msg = str(e)
+        log.info('%s in numpy.distutils; trying from distutils',
+                 str(msg))
+        module_name = module_name[6:]
+        try:
+            __import__(module_name)
+        except ImportError as e:
+            msg = str(e)
+            raise DistutilsModuleError("can't compile C/C++ code: unable to load module '%s'" % \
+                  module_name)
+    try:
+        module = sys.modules[module_name]
+        klass = vars(module)[class_name]
+    except KeyError:
+        raise DistutilsModuleError(("can't compile C/C++ code: unable to find class '%s' " +
+               "in module '%s'") % (class_name, module_name))
+    compiler = klass(None, dry_run, force)
+    compiler.verbose = verbose
+    log.debug('new_compiler returns %s' % (klass))
+    return compiler
+
+ccompiler.new_compiler = new_compiler
+
+_distutils_gen_lib_options = gen_lib_options
+def gen_lib_options(compiler, library_dirs, runtime_library_dirs, libraries):
+    # the version of this function provided by CPython allows the following
+    # to return lists, which are unpacked automatically:
+    # - compiler.runtime_library_dir_option
+    # our version extends the behavior to:
+    # - compiler.library_dir_option
+    # - compiler.library_option
+    # - compiler.find_library_file
+    r = _distutils_gen_lib_options(compiler, library_dirs,
+                                   runtime_library_dirs, libraries)
+    lib_opts = []
+    for i in r:
+        if is_sequence(i):
+            lib_opts.extend(list(i))
+        else:
+            lib_opts.append(i)
+    return lib_opts
+ccompiler.gen_lib_options = gen_lib_options
+
+# Also fix up the various compiler modules, which do
+# from distutils.ccompiler import gen_lib_options
+# Don't bother with mwerks, as we don't support Classic Mac.
+for _cc in ['msvc9', 'msvc', '_msvc', 'bcpp', 'cygwinc', 'emxc', 'unixc']:
+    _m = sys.modules.get('distutils.' + _cc + 'compiler')
+    if _m is not None:
+        setattr(_m, 'gen_lib_options', gen_lib_options)
+
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/ccompiler_opt.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/ccompiler_opt.py
new file mode 100644
index 0000000000000000000000000000000000000000..b1a6fa36061c7c70132b248da51d25d348b3a311
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/ccompiler_opt.py
@@ -0,0 +1,2668 @@
+"""Provides the `CCompilerOpt` class, used for handling the CPU/hardware
+optimization, starting from parsing the command arguments, to managing the
+relation between the CPU baseline and dispatch-able features,
+also generating the required C headers and ending with compiling
+the sources with proper compiler's flags.
+
+`CCompilerOpt` doesn't provide runtime detection for the CPU features,
+instead only focuses on the compiler side, but it creates abstract C headers
+that can be used later for the final runtime dispatching process."""
+
+import atexit
+import inspect
+import os
+import pprint
+import re
+import subprocess
+import textwrap
+
+class _Config:
+    """An abstract class holds all configurable attributes of `CCompilerOpt`,
+    these class attributes can be used to change the default behavior
+    of `CCompilerOpt` in order to fit other requirements.
+
+    Attributes
+    ----------
+    conf_nocache : bool
+        Set True to disable memory and file cache.
+        Default is False.
+
+    conf_noopt : bool
+        Set True to forces the optimization to be disabled,
+        in this case `CCompilerOpt` tends to generate all
+        expected headers in order to 'not' break the build.
+        Default is False.
+
+    conf_cache_factors : list
+        Add extra factors to the primary caching factors. The caching factors
+        are utilized to determine if there are changes had happened that
+        requires to discard the cache and re-updating it. The primary factors
+        are the arguments of `CCompilerOpt` and `CCompiler`'s properties(type, flags, etc).
+        Default is list of two items, containing the time of last modification
+        of `ccompiler_opt` and value of attribute "conf_noopt"
+
+    conf_tmp_path : str,
+        The path of temporary directory. Default is auto-created
+        temporary directory via ``tempfile.mkdtemp()``.
+
+    conf_check_path : str
+        The path of testing files. Each added CPU feature must have a
+        **C** source file contains at least one intrinsic or instruction that
+        related to this feature, so it can be tested against the compiler.
+        Default is ``./distutils/checks``.
+
+    conf_target_groups : dict
+        Extra tokens that can be reached from dispatch-able sources through
+        the special mark ``@targets``. Default is an empty dictionary.
+
+        **Notes**:
+            - case-insensitive for tokens and group names
+            - sign '#' must stick in the begin of group name and only within ``@targets``
+
+        **Example**:
+            .. code-block:: console
+
+                $ "@targets #avx_group other_tokens" > group_inside.c
+
+            >>> CCompilerOpt.conf_target_groups["avx_group"] = \\
+            "$werror $maxopt avx2 avx512f avx512_skx"
+            >>> cco = CCompilerOpt(cc_instance)
+            >>> cco.try_dispatch(["group_inside.c"])
+
+    conf_c_prefix : str
+        The prefix of public C definitions. Default is ``"NPY_"``.
+
+    conf_c_prefix_ : str
+        The prefix of internal C definitions. Default is ``"NPY__"``.
+
+    conf_cc_flags : dict
+        Nested dictionaries defining several compiler flags
+        that linked to some major functions, the main key
+        represent the compiler name and sub-keys represent
+        flags names. Default is already covers all supported
+        **C** compilers.
+
+        Sub-keys explained as follows:
+
+        "native": str or None
+            used by argument option `native`, to detect the current
+            machine support via the compiler.
+        "werror": str or None
+            utilized to treat warning as errors during testing CPU features
+            against the compiler and also for target's policy `$werror`
+            via dispatch-able sources.
+        "maxopt": str or None
+            utilized for target's policy '$maxopt' and the value should
+            contains the maximum acceptable optimization by the compiler.
+            e.g. in gcc ``'-O3'``
+
+        **Notes**:
+            * case-sensitive for compiler names and flags
+            * use space to separate multiple flags
+            * any flag will tested against the compiler and it will skipped
+              if it's not applicable.
+
+    conf_min_features : dict
+        A dictionary defines the used CPU features for
+        argument option ``'min'``, the key represent the CPU architecture
+        name e.g. ``'x86'``. Default values provide the best effort
+        on wide range of users platforms.
+
+        **Note**: case-sensitive for architecture names.
+
+    conf_features : dict
+        Nested dictionaries used for identifying the CPU features.
+        the primary key is represented as a feature name or group name
+        that gathers several features. Default values covers all
+        supported features but without the major options like "flags",
+        these undefined options handle it by method `conf_features_partial()`.
+        Default value is covers almost all CPU features for *X86*, *IBM/Power64*
+        and *ARM 7/8*.
+
+        Sub-keys explained as follows:
+
+        "implies" : str or list, optional,
+            List of CPU feature names to be implied by it,
+            the feature name must be defined within `conf_features`.
+            Default is None.
+
+        "flags": str or list, optional
+            List of compiler flags. Default is None.
+
+        "detect": str or list, optional
+            List of CPU feature names that required to be detected
+            in runtime. By default, its the feature name or features
+            in "group" if its specified.
+
+        "implies_detect": bool, optional
+            If True, all "detect" of implied features will be combined.
+            Default is True. see `feature_detect()`.
+
+        "group": str or list, optional
+            Same as "implies" but doesn't require the feature name to be
+            defined within `conf_features`.
+
+        "interest": int, required
+            a key for sorting CPU features
+
+        "headers": str or list, optional
+            intrinsics C header file
+
+        "disable": str, optional
+            force disable feature, the string value should contains the
+            reason of disabling.
+
+        "autovec": bool or None, optional
+            True or False to declare that CPU feature can be auto-vectorized
+            by the compiler.
+            By default(None), treated as True if the feature contains at
+            least one applicable flag. see `feature_can_autovec()`
+
+        "extra_checks": str or list, optional
+            Extra test case names for the CPU feature that need to be tested
+            against the compiler.
+
+            Each test case must have a C file named ``extra_xxxx.c``, where
+            ``xxxx`` is the case name in lower case, under 'conf_check_path'.
+            It should contain at least one intrinsic or function related to the test case.
+
+            If the compiler able to successfully compile the C file then `CCompilerOpt`
+            will add a C ``#define`` for it into the main dispatch header, e.g.
+            ``#define {conf_c_prefix}_XXXX`` where ``XXXX`` is the case name in upper case.
+
+        **NOTES**:
+            * space can be used as separator with options that supports "str or list"
+            * case-sensitive for all values and feature name must be in upper-case.
+            * if flags aren't applicable, its will skipped rather than disable the
+              CPU feature
+            * the CPU feature will disabled if the compiler fail to compile
+              the test file
+    """
+    conf_nocache = False
+    conf_noopt = False
+    conf_cache_factors = None
+    conf_tmp_path = None
+    conf_check_path = os.path.join(
+        os.path.dirname(os.path.realpath(__file__)), "checks"
+    )
+    conf_target_groups = {}
+    conf_c_prefix = 'NPY_'
+    conf_c_prefix_ = 'NPY__'
+    conf_cc_flags = dict(
+        gcc = dict(
+            # native should always fail on arm and ppc64,
+            # native usually works only with x86
+            native = '-march=native',
+            opt = '-O3',
+            werror = '-Werror',
+        ),
+        clang = dict(
+            native = '-march=native',
+            opt = "-O3",
+            # One of the following flags needs to be applicable for Clang to
+            # guarantee the sanity of the testing process, however in certain
+            # cases `-Werror` gets skipped during the availability test due to
+            # "unused arguments" warnings.
+            # see https://github.com/numpy/numpy/issues/19624
+            werror = '-Werror=switch -Werror',
+        ),
+        icc = dict(
+            native = '-xHost',
+            opt = '-O3',
+            werror = '-Werror',
+        ),
+        iccw = dict(
+            native = '/QxHost',
+            opt = '/O3',
+            werror = '/Werror',
+        ),
+        msvc = dict(
+            native = None,
+            opt = '/O2',
+            werror = '/WX',
+        ),
+        fcc = dict(
+            native = '-mcpu=a64fx',
+            opt = None,
+            werror = None,
+        )
+    )
+    conf_min_features = dict(
+        x86 = "SSE SSE2",
+        x64 = "SSE SSE2 SSE3",
+        ppc64 = '', # play it safe
+        ppc64le = "VSX VSX2",
+        s390x = '',
+        armhf = '', # play it safe
+        aarch64 = "NEON NEON_FP16 NEON_VFPV4 ASIMD"
+    )
+    conf_features = dict(
+        # X86
+        SSE = dict(
+            interest=1, headers="xmmintrin.h",
+            # enabling SSE without SSE2 is useless also
+            # it's non-optional for x86_64
+            implies="SSE2"
+        ),
+        SSE2   = dict(interest=2, implies="SSE", headers="emmintrin.h"),
+        SSE3   = dict(interest=3, implies="SSE2", headers="pmmintrin.h"),
+        SSSE3  = dict(interest=4, implies="SSE3", headers="tmmintrin.h"),
+        SSE41  = dict(interest=5, implies="SSSE3", headers="smmintrin.h"),
+        POPCNT = dict(interest=6, implies="SSE41", headers="popcntintrin.h"),
+        SSE42  = dict(interest=7, implies="POPCNT"),
+        AVX    = dict(
+            interest=8, implies="SSE42", headers="immintrin.h",
+            implies_detect=False
+        ),
+        XOP    = dict(interest=9, implies="AVX", headers="x86intrin.h"),
+        FMA4   = dict(interest=10, implies="AVX", headers="x86intrin.h"),
+        F16C   = dict(interest=11, implies="AVX"),
+        FMA3   = dict(interest=12, implies="F16C"),
+        AVX2   = dict(interest=13, implies="F16C"),
+        AVX512F = dict(
+            interest=20, implies="FMA3 AVX2", implies_detect=False,
+            extra_checks="AVX512F_REDUCE"
+        ),
+        AVX512CD = dict(interest=21, implies="AVX512F"),
+        AVX512_KNL = dict(
+            interest=40, implies="AVX512CD", group="AVX512ER AVX512PF",
+            detect="AVX512_KNL", implies_detect=False
+        ),
+        AVX512_KNM = dict(
+            interest=41, implies="AVX512_KNL",
+            group="AVX5124FMAPS AVX5124VNNIW AVX512VPOPCNTDQ",
+            detect="AVX512_KNM", implies_detect=False
+        ),
+        AVX512_SKX = dict(
+            interest=42, implies="AVX512CD", group="AVX512VL AVX512BW AVX512DQ",
+            detect="AVX512_SKX", implies_detect=False,
+            extra_checks="AVX512BW_MASK AVX512DQ_MASK"
+        ),
+        AVX512_CLX = dict(
+            interest=43, implies="AVX512_SKX", group="AVX512VNNI",
+            detect="AVX512_CLX"
+        ),
+        AVX512_CNL = dict(
+            interest=44, implies="AVX512_SKX", group="AVX512IFMA AVX512VBMI",
+            detect="AVX512_CNL", implies_detect=False
+        ),
+        AVX512_ICL = dict(
+            interest=45, implies="AVX512_CLX AVX512_CNL",
+            group="AVX512VBMI2 AVX512BITALG AVX512VPOPCNTDQ",
+            detect="AVX512_ICL", implies_detect=False
+        ),
+        AVX512_SPR = dict(
+            interest=46, implies="AVX512_ICL", group="AVX512FP16",
+            detect="AVX512_SPR", implies_detect=False
+        ),
+        # IBM/Power
+        ## Power7/ISA 2.06
+        VSX = dict(interest=1, headers="altivec.h", extra_checks="VSX_ASM"),
+        ## Power8/ISA 2.07
+        VSX2 = dict(interest=2, implies="VSX", implies_detect=False),
+        ## Power9/ISA 3.00
+        VSX3 = dict(interest=3, implies="VSX2", implies_detect=False,
+                    extra_checks="VSX3_HALF_DOUBLE"),
+        ## Power10/ISA 3.1
+        VSX4 = dict(interest=4, implies="VSX3", implies_detect=False,
+                    extra_checks="VSX4_MMA"),
+        # IBM/Z
+        ## VX(z13) support
+        VX = dict(interest=1, headers="vecintrin.h"),
+        ## Vector-Enhancements Facility
+        VXE = dict(interest=2, implies="VX", implies_detect=False),
+        ## Vector-Enhancements Facility 2
+        VXE2 = dict(interest=3, implies="VXE", implies_detect=False),
+        # ARM
+        NEON  = dict(interest=1, headers="arm_neon.h"),
+        NEON_FP16 = dict(interest=2, implies="NEON"),
+        ## FMA
+        NEON_VFPV4 = dict(interest=3, implies="NEON_FP16"),
+        ## Advanced SIMD
+        ASIMD = dict(interest=4, implies="NEON_FP16 NEON_VFPV4", implies_detect=False),
+        ## ARMv8.2 half-precision & vector arithm
+        ASIMDHP = dict(interest=5, implies="ASIMD"),
+        ## ARMv8.2 dot product
+        ASIMDDP = dict(interest=6, implies="ASIMD"),
+        ## ARMv8.2 Single & half-precision Multiply
+        ASIMDFHM = dict(interest=7, implies="ASIMDHP"),
+    )
+    def conf_features_partial(self):
+        """Return a dictionary of supported CPU features by the platform,
+        and accumulate the rest of undefined options in `conf_features`,
+        the returned dict has same rules and notes in
+        class attribute `conf_features`, also its override
+        any options that been set in 'conf_features'.
+        """
+        if self.cc_noopt:
+            # optimization is disabled
+            return {}
+
+        on_x86 = self.cc_on_x86 or self.cc_on_x64
+        is_unix = self.cc_is_gcc or self.cc_is_clang or self.cc_is_fcc
+
+        if on_x86 and is_unix: return dict(
+            SSE    = dict(flags="-msse"),
+            SSE2   = dict(flags="-msse2"),
+            SSE3   = dict(flags="-msse3"),
+            SSSE3  = dict(flags="-mssse3"),
+            SSE41  = dict(flags="-msse4.1"),
+            POPCNT = dict(flags="-mpopcnt"),
+            SSE42  = dict(flags="-msse4.2"),
+            AVX    = dict(flags="-mavx"),
+            F16C   = dict(flags="-mf16c"),
+            XOP    = dict(flags="-mxop"),
+            FMA4   = dict(flags="-mfma4"),
+            FMA3   = dict(flags="-mfma"),
+            AVX2   = dict(flags="-mavx2"),
+            AVX512F = dict(flags="-mavx512f -mno-mmx"),
+            AVX512CD = dict(flags="-mavx512cd"),
+            AVX512_KNL = dict(flags="-mavx512er -mavx512pf"),
+            AVX512_KNM = dict(
+                flags="-mavx5124fmaps -mavx5124vnniw -mavx512vpopcntdq"
+            ),
+            AVX512_SKX = dict(flags="-mavx512vl -mavx512bw -mavx512dq"),
+            AVX512_CLX = dict(flags="-mavx512vnni"),
+            AVX512_CNL = dict(flags="-mavx512ifma -mavx512vbmi"),
+            AVX512_ICL = dict(
+                flags="-mavx512vbmi2 -mavx512bitalg -mavx512vpopcntdq"
+            ),
+            AVX512_SPR = dict(flags="-mavx512fp16"),
+        )
+        if on_x86 and self.cc_is_icc: return dict(
+            SSE    = dict(flags="-msse"),
+            SSE2   = dict(flags="-msse2"),
+            SSE3   = dict(flags="-msse3"),
+            SSSE3  = dict(flags="-mssse3"),
+            SSE41  = dict(flags="-msse4.1"),
+            POPCNT = {},
+            SSE42  = dict(flags="-msse4.2"),
+            AVX    = dict(flags="-mavx"),
+            F16C   = {},
+            XOP    = dict(disable="Intel Compiler doesn't support it"),
+            FMA4   = dict(disable="Intel Compiler doesn't support it"),
+            # Intel Compiler doesn't support AVX2 or FMA3 independently
+            FMA3 = dict(
+                implies="F16C AVX2", flags="-march=core-avx2"
+            ),
+            AVX2 = dict(implies="FMA3", flags="-march=core-avx2"),
+            # Intel Compiler doesn't support AVX512F or AVX512CD independently
+            AVX512F = dict(
+                implies="AVX2 AVX512CD", flags="-march=common-avx512"
+            ),
+            AVX512CD = dict(
+                implies="AVX2 AVX512F", flags="-march=common-avx512"
+            ),
+            AVX512_KNL = dict(flags="-xKNL"),
+            AVX512_KNM = dict(flags="-xKNM"),
+            AVX512_SKX = dict(flags="-xSKYLAKE-AVX512"),
+            AVX512_CLX = dict(flags="-xCASCADELAKE"),
+            AVX512_CNL = dict(flags="-xCANNONLAKE"),
+            AVX512_ICL = dict(flags="-xICELAKE-CLIENT"),
+            AVX512_SPR = dict(disable="Not supported yet")
+        )
+        if on_x86 and self.cc_is_iccw: return dict(
+            SSE    = dict(flags="/arch:SSE"),
+            SSE2   = dict(flags="/arch:SSE2"),
+            SSE3   = dict(flags="/arch:SSE3"),
+            SSSE3  = dict(flags="/arch:SSSE3"),
+            SSE41  = dict(flags="/arch:SSE4.1"),
+            POPCNT = {},
+            SSE42  = dict(flags="/arch:SSE4.2"),
+            AVX    = dict(flags="/arch:AVX"),
+            F16C   = {},
+            XOP    = dict(disable="Intel Compiler doesn't support it"),
+            FMA4   = dict(disable="Intel Compiler doesn't support it"),
+            # Intel Compiler doesn't support FMA3 or AVX2 independently
+            FMA3 = dict(
+                implies="F16C AVX2", flags="/arch:CORE-AVX2"
+            ),
+            AVX2 = dict(
+                implies="FMA3", flags="/arch:CORE-AVX2"
+            ),
+            # Intel Compiler doesn't support AVX512F or AVX512CD independently
+            AVX512F = dict(
+                implies="AVX2 AVX512CD", flags="/Qx:COMMON-AVX512"
+            ),
+            AVX512CD = dict(
+                implies="AVX2 AVX512F", flags="/Qx:COMMON-AVX512"
+            ),
+            AVX512_KNL = dict(flags="/Qx:KNL"),
+            AVX512_KNM = dict(flags="/Qx:KNM"),
+            AVX512_SKX = dict(flags="/Qx:SKYLAKE-AVX512"),
+            AVX512_CLX = dict(flags="/Qx:CASCADELAKE"),
+            AVX512_CNL = dict(flags="/Qx:CANNONLAKE"),
+            AVX512_ICL = dict(flags="/Qx:ICELAKE-CLIENT"),
+            AVX512_SPR = dict(disable="Not supported yet")
+        )
+        if on_x86 and self.cc_is_msvc: return dict(
+            SSE = dict(flags="/arch:SSE") if self.cc_on_x86 else {},
+            SSE2 = dict(flags="/arch:SSE2") if self.cc_on_x86 else {},
+            SSE3   = {},
+            SSSE3  = {},
+            SSE41  = {},
+            POPCNT = dict(headers="nmmintrin.h"),
+            SSE42  = {},
+            AVX    = dict(flags="/arch:AVX"),
+            F16C   = {},
+            XOP    = dict(headers="ammintrin.h"),
+            FMA4   = dict(headers="ammintrin.h"),
+            # MSVC doesn't support FMA3 or AVX2 independently
+            FMA3 = dict(
+                implies="F16C AVX2", flags="/arch:AVX2"
+            ),
+            AVX2 = dict(
+                implies="F16C FMA3", flags="/arch:AVX2"
+            ),
+            # MSVC doesn't support AVX512F or AVX512CD independently,
+            # always generate instructions belong to (VL/VW/DQ)
+            AVX512F = dict(
+                implies="AVX2 AVX512CD AVX512_SKX", flags="/arch:AVX512"
+            ),
+            AVX512CD = dict(
+                implies="AVX512F AVX512_SKX", flags="/arch:AVX512"
+            ),
+            AVX512_KNL = dict(
+                disable="MSVC compiler doesn't support it"
+            ),
+            AVX512_KNM = dict(
+                disable="MSVC compiler doesn't support it"
+            ),
+            AVX512_SKX = dict(flags="/arch:AVX512"),
+            AVX512_CLX = {},
+            AVX512_CNL = {},
+            AVX512_ICL = {},
+            AVX512_SPR= dict(
+                disable="MSVC compiler doesn't support it"
+            )
+        )
+
+        on_power = self.cc_on_ppc64le or self.cc_on_ppc64
+        if on_power:
+            partial = dict(
+                VSX = dict(
+                    implies=("VSX2" if self.cc_on_ppc64le else ""),
+                    flags="-mvsx"
+                ),
+                VSX2 = dict(
+                    flags="-mcpu=power8", implies_detect=False
+                ),
+                VSX3 = dict(
+                    flags="-mcpu=power9 -mtune=power9", implies_detect=False
+                ),
+                VSX4 = dict(
+                    flags="-mcpu=power10 -mtune=power10", implies_detect=False
+                )
+            )
+            if self.cc_is_clang:
+                partial["VSX"]["flags"]  = "-maltivec -mvsx"
+                partial["VSX2"]["flags"] = "-mcpu=power8"
+                partial["VSX3"]["flags"] = "-mcpu=power9"
+                partial["VSX4"]["flags"] = "-mcpu=power10"
+
+            return partial
+
+        on_zarch = self.cc_on_s390x
+        if on_zarch:
+            partial = dict(
+                VX = dict(
+                    flags="-march=arch11 -mzvector"
+                ),
+                VXE = dict(
+                    flags="-march=arch12", implies_detect=False
+                ),
+                VXE2 = dict(
+                    flags="-march=arch13", implies_detect=False
+                )
+            )
+
+            return partial
+
+
+        if self.cc_on_aarch64 and is_unix: return dict(
+            NEON = dict(
+                implies="NEON_FP16 NEON_VFPV4 ASIMD", autovec=True
+            ),
+            NEON_FP16 = dict(
+                implies="NEON NEON_VFPV4 ASIMD", autovec=True
+            ),
+            NEON_VFPV4 = dict(
+                implies="NEON NEON_FP16 ASIMD", autovec=True
+            ),
+            ASIMD = dict(
+                implies="NEON NEON_FP16 NEON_VFPV4", autovec=True
+            ),
+            ASIMDHP = dict(
+                flags="-march=armv8.2-a+fp16"
+            ),
+            ASIMDDP = dict(
+                flags="-march=armv8.2-a+dotprod"
+            ),
+            ASIMDFHM = dict(
+                flags="-march=armv8.2-a+fp16fml"
+            ),
+        )
+        if self.cc_on_armhf and is_unix: return dict(
+            NEON = dict(
+                flags="-mfpu=neon"
+            ),
+            NEON_FP16 = dict(
+                flags="-mfpu=neon-fp16 -mfp16-format=ieee"
+            ),
+            NEON_VFPV4 = dict(
+                flags="-mfpu=neon-vfpv4",
+            ),
+            ASIMD = dict(
+                flags="-mfpu=neon-fp-armv8 -march=armv8-a+simd",
+            ),
+            ASIMDHP = dict(
+                flags="-march=armv8.2-a+fp16"
+            ),
+            ASIMDDP = dict(
+                flags="-march=armv8.2-a+dotprod",
+            ),
+            ASIMDFHM = dict(
+                flags="-march=armv8.2-a+fp16fml"
+            )
+        )
+        # TODO: ARM MSVC
+        return {}
+
+    def __init__(self):
+        if self.conf_tmp_path is None:
+            import shutil
+            import tempfile
+            tmp = tempfile.mkdtemp()
+            def rm_temp():
+                try:
+                    shutil.rmtree(tmp)
+                except OSError:
+                    pass
+            atexit.register(rm_temp)
+            self.conf_tmp_path = tmp
+
+        if self.conf_cache_factors is None:
+            self.conf_cache_factors = [
+                os.path.getmtime(__file__),
+                self.conf_nocache
+            ]
+
+class _Distutils:
+    """A helper class that provides a collection of fundamental methods
+    implemented in a top of Python and NumPy Distutils.
+
+    The idea behind this class is to gather all methods that it may
+    need to override in case of reuse 'CCompilerOpt' in environment
+    different than of what NumPy has.
+
+    Parameters
+    ----------
+    ccompiler : `CCompiler`
+        The generate instance that returned from `distutils.ccompiler.new_compiler()`.
+    """
+    def __init__(self, ccompiler):
+        self._ccompiler = ccompiler
+
+    def dist_compile(self, sources, flags, ccompiler=None, **kwargs):
+        """Wrap CCompiler.compile()"""
+        assert(isinstance(sources, list))
+        assert(isinstance(flags, list))
+        flags = kwargs.pop("extra_postargs", []) + flags
+        if not ccompiler:
+            ccompiler = self._ccompiler
+
+        return ccompiler.compile(sources, extra_postargs=flags, **kwargs)
+
+    def dist_test(self, source, flags, macros=[]):
+        """Return True if 'CCompiler.compile()' able to compile
+        a source file with certain flags.
+        """
+        assert(isinstance(source, str))
+        from distutils.errors import CompileError
+        cc = self._ccompiler;
+        bk_spawn = getattr(cc, 'spawn', None)
+        if bk_spawn:
+            cc_type = getattr(self._ccompiler, "compiler_type", "")
+            if cc_type in ("msvc",):
+                setattr(cc, 'spawn', self._dist_test_spawn_paths)
+            else:
+                setattr(cc, 'spawn', self._dist_test_spawn)
+        test = False
+        try:
+            self.dist_compile(
+                [source], flags, macros=macros, output_dir=self.conf_tmp_path
+            )
+            test = True
+        except CompileError as e:
+            self.dist_log(str(e), stderr=True)
+        if bk_spawn:
+            setattr(cc, 'spawn', bk_spawn)
+        return test
+
+    def dist_info(self):
+        """
+        Return a tuple containing info about (platform, compiler, extra_args),
+        required by the abstract class '_CCompiler' for discovering the
+        platform environment. This is also used as a cache factor in order
+        to detect any changes happening from outside.
+        """
+        if hasattr(self, "_dist_info"):
+            return self._dist_info
+
+        cc_type = getattr(self._ccompiler, "compiler_type", '')
+        if cc_type in ("intelem", "intelemw"):
+            platform = "x86_64"
+        elif cc_type in ("intel", "intelw", "intele"):
+            platform = "x86"
+        else:
+            from distutils.util import get_platform
+            platform = get_platform()
+
+        cc_info = getattr(self._ccompiler, "compiler", getattr(self._ccompiler, "compiler_so", ''))
+        if not cc_type or cc_type == "unix":
+            if hasattr(cc_info, "__iter__"):
+                compiler = cc_info[0]
+            else:
+                compiler = str(cc_info)
+        else:
+            compiler = cc_type
+
+        if hasattr(cc_info, "__iter__") and len(cc_info) > 1:
+            extra_args = ' '.join(cc_info[1:])
+        else:
+            extra_args  = os.environ.get("CFLAGS", "")
+            extra_args += os.environ.get("CPPFLAGS", "")
+
+        self._dist_info = (platform, compiler, extra_args)
+        return self._dist_info
+
+    @staticmethod
+    def dist_error(*args):
+        """Raise a compiler error"""
+        from distutils.errors import CompileError
+        raise CompileError(_Distutils._dist_str(*args))
+
+    @staticmethod
+    def dist_fatal(*args):
+        """Raise a distutils error"""
+        from distutils.errors import DistutilsError
+        raise DistutilsError(_Distutils._dist_str(*args))
+
+    @staticmethod
+    def dist_log(*args, stderr=False):
+        """Print a console message"""
+        from numpy.distutils import log
+        out = _Distutils._dist_str(*args)
+        if stderr:
+            log.warn(out)
+        else:
+            log.info(out)
+
+    @staticmethod
+    def dist_load_module(name, path):
+        """Load a module from file, required by the abstract class '_Cache'."""
+        from .misc_util import exec_mod_from_location
+        try:
+            return exec_mod_from_location(name, path)
+        except Exception as e:
+            _Distutils.dist_log(e, stderr=True)
+        return None
+
+    @staticmethod
+    def _dist_str(*args):
+        """Return a string to print by log and errors."""
+        def to_str(arg):
+            if not isinstance(arg, str) and hasattr(arg, '__iter__'):
+                ret = []
+                for a in arg:
+                    ret.append(to_str(a))
+                return '('+ ' '.join(ret) + ')'
+            return str(arg)
+
+        stack = inspect.stack()[2]
+        start = "CCompilerOpt.%s[%d] : " % (stack.function, stack.lineno)
+        out = ' '.join([
+            to_str(a)
+            for a in (*args,)
+        ])
+        return start + out
+
+    def _dist_test_spawn_paths(self, cmd, display=None):
+        """
+        Fix msvc SDK ENV path same as distutils do
+        without it we get c1: fatal error C1356: unable to find mspdbcore.dll
+        """
+        if not hasattr(self._ccompiler, "_paths"):
+            self._dist_test_spawn(cmd)
+            return
+        old_path = os.getenv("path")
+        try:
+            os.environ["path"] = self._ccompiler._paths
+            self._dist_test_spawn(cmd)
+        finally:
+            os.environ["path"] = old_path
+
+    _dist_warn_regex = re.compile(
+        # intel and msvc compilers don't raise
+        # fatal errors when flags are wrong or unsupported
+        ".*("
+        "warning D9002|"  # msvc, it should be work with any language.
+        "invalid argument for option" # intel
+        ").*"
+    )
+    @staticmethod
+    def _dist_test_spawn(cmd, display=None):
+        try:
+            o = subprocess.check_output(cmd, stderr=subprocess.STDOUT,
+                                        text=True)
+            if o and re.match(_Distutils._dist_warn_regex, o):
+                _Distutils.dist_error(
+                    "Flags in command", cmd ,"aren't supported by the compiler"
+                    ", output -> \n%s" % o
+                )
+        except subprocess.CalledProcessError as exc:
+            o = exc.output
+            s = exc.returncode
+        except OSError as e:
+            o = e
+            s = 127
+        else:
+            return None
+        _Distutils.dist_error(
+            "Command", cmd, "failed with exit status %d output -> \n%s" % (
+            s, o
+        ))
+
+_share_cache = {}
+class _Cache:
+    """An abstract class handles caching functionality, provides two
+    levels of caching, in-memory by share instances attributes among
+    each other and by store attributes into files.
+
+    **Note**:
+        any attributes that start with ``_`` or ``conf_`` will be ignored.
+
+    Parameters
+    ----------
+    cache_path : str or None
+        The path of cache file, if None then cache in file will disabled.
+
+    *factors :
+        The caching factors that need to utilize next to `conf_cache_factors`.
+
+    Attributes
+    ----------
+    cache_private : set
+        Hold the attributes that need be skipped from "in-memory cache".
+
+    cache_infile : bool
+        Utilized during initializing this class, to determine if the cache was able
+        to loaded from the specified cache path in 'cache_path'.
+    """
+
+    # skip attributes from cache
+    _cache_ignore = re.compile("^(_|conf_)")
+
+    def __init__(self, cache_path=None, *factors):
+        self.cache_me = {}
+        self.cache_private = set()
+        self.cache_infile = False
+        self._cache_path = None
+
+        if self.conf_nocache:
+            self.dist_log("cache is disabled by `Config`")
+            return
+
+        self._cache_hash = self.cache_hash(*factors, *self.conf_cache_factors)
+        self._cache_path = cache_path
+        if cache_path:
+            if os.path.exists(cache_path):
+                self.dist_log("load cache from file ->", cache_path)
+                cache_mod = self.dist_load_module("cache", cache_path)
+                if not cache_mod:
+                    self.dist_log(
+                        "unable to load the cache file as a module",
+                        stderr=True
+                    )
+                elif not hasattr(cache_mod, "hash") or \
+                     not hasattr(cache_mod, "data"):
+                    self.dist_log("invalid cache file", stderr=True)
+                elif self._cache_hash == cache_mod.hash:
+                    self.dist_log("hit the file cache")
+                    for attr, val in cache_mod.data.items():
+                        setattr(self, attr, val)
+                    self.cache_infile = True
+                else:
+                    self.dist_log("miss the file cache")
+
+        if not self.cache_infile:
+            other_cache = _share_cache.get(self._cache_hash)
+            if other_cache:
+                self.dist_log("hit the memory cache")
+                for attr, val in other_cache.__dict__.items():
+                    if attr in other_cache.cache_private or \
+                               re.match(self._cache_ignore, attr):
+                        continue
+                    setattr(self, attr, val)
+
+        _share_cache[self._cache_hash] = self
+        atexit.register(self.cache_flush)
+
+    def __del__(self):
+        for h, o in _share_cache.items():
+            if o == self:
+                _share_cache.pop(h)
+                break
+
+    def cache_flush(self):
+        """
+        Force update the cache.
+        """
+        if not self._cache_path:
+            return
+        # TODO: don't write if the cache doesn't change
+        self.dist_log("write cache to path ->", self._cache_path)
+        cdict = self.__dict__.copy()
+        for attr in self.__dict__.keys():
+            if re.match(self._cache_ignore, attr):
+                cdict.pop(attr)
+
+        d = os.path.dirname(self._cache_path)
+        if not os.path.exists(d):
+            os.makedirs(d)
+
+        repr_dict = pprint.pformat(cdict, compact=True)
+        with open(self._cache_path, "w") as f:
+            f.write(textwrap.dedent("""\
+            # AUTOGENERATED DON'T EDIT
+            # Please make changes to the code generator \
+            (distutils/ccompiler_opt.py)
+            hash = {}
+            data = \\
+            """).format(self._cache_hash))
+            f.write(repr_dict)
+
+    def cache_hash(self, *factors):
+        # is there a built-in non-crypto hash?
+        # sdbm
+        chash = 0
+        for f in factors:
+            for char in str(f):
+                chash  = ord(char) + (chash << 6) + (chash << 16) - chash
+                chash &= 0xFFFFFFFF
+        return chash
+
+    @staticmethod
+    def me(cb):
+        """
+        A static method that can be treated as a decorator to
+        dynamically cache certain methods.
+        """
+        def cache_wrap_me(self, *args, **kwargs):
+            # good for normal args
+            cache_key = str((
+                cb.__name__, *args, *kwargs.keys(), *kwargs.values()
+            ))
+            if cache_key in self.cache_me:
+                return self.cache_me[cache_key]
+            ccb = cb(self, *args, **kwargs)
+            self.cache_me[cache_key] = ccb
+            return ccb
+        return cache_wrap_me
+
+class _CCompiler:
+    """A helper class for `CCompilerOpt` containing all utilities that
+    related to the fundamental compiler's functions.
+
+    Attributes
+    ----------
+    cc_on_x86 : bool
+        True when the target architecture is 32-bit x86
+    cc_on_x64 : bool
+        True when the target architecture is 64-bit x86
+    cc_on_ppc64 : bool
+        True when the target architecture is 64-bit big-endian powerpc
+    cc_on_ppc64le : bool
+        True when the target architecture is 64-bit litle-endian powerpc
+    cc_on_s390x : bool
+        True when the target architecture is IBM/ZARCH on linux
+    cc_on_armhf : bool
+        True when the target architecture is 32-bit ARMv7+
+    cc_on_aarch64 : bool
+        True when the target architecture is 64-bit Armv8-a+
+    cc_on_noarch : bool
+        True when the target architecture is unknown or not supported
+    cc_is_gcc : bool
+        True if the compiler is GNU or
+        if the compiler is unknown
+    cc_is_clang : bool
+        True if the compiler is Clang
+    cc_is_icc : bool
+        True if the compiler is Intel compiler (unix like)
+    cc_is_iccw : bool
+        True if the compiler is Intel compiler (msvc like)
+    cc_is_nocc : bool
+        True if the compiler isn't supported directly,
+        Note: that cause a fail-back to gcc
+    cc_has_debug : bool
+        True if the compiler has debug flags
+    cc_has_native : bool
+        True if the compiler has native flags
+    cc_noopt : bool
+        True if the compiler has definition 'DISABLE_OPT*',
+        or 'cc_on_noarch' is True
+    cc_march : str
+        The target architecture name, or "unknown" if
+        the architecture isn't supported
+    cc_name : str
+        The compiler name, or "unknown" if the compiler isn't supported
+    cc_flags : dict
+        Dictionary containing the initialized flags of `_Config.conf_cc_flags`
+    """
+    def __init__(self):
+        if hasattr(self, "cc_is_cached"):
+            return
+        #      attr            regex        compiler-expression
+        detect_arch = (
+            ("cc_on_x64",      ".*(x|x86_|amd)64.*", ""),
+            ("cc_on_x86",      ".*(win32|x86|i386|i686).*", ""),
+            ("cc_on_ppc64le",  ".*(powerpc|ppc)64(el|le).*|.*powerpc.*",
+                                          "defined(__powerpc64__) && "
+                                          "defined(__LITTLE_ENDIAN__)"),
+            ("cc_on_ppc64",    ".*(powerpc|ppc).*|.*powerpc.*",
+                                          "defined(__powerpc64__) && "
+                                          "defined(__BIG_ENDIAN__)"),
+            ("cc_on_aarch64",  ".*(aarch64|arm64).*", ""),
+            ("cc_on_armhf",    ".*arm.*", "defined(__ARM_ARCH_7__) || "
+                                          "defined(__ARM_ARCH_7A__)"),
+            ("cc_on_s390x",    ".*s390x.*", ""),
+            # undefined platform
+            ("cc_on_noarch",   "", ""),
+        )
+        detect_compiler = (
+            ("cc_is_gcc",     r".*(gcc|gnu\-g).*", ""),
+            ("cc_is_clang",    ".*clang.*", ""),
+            # intel msvc like
+            ("cc_is_iccw",     ".*(intelw|intelemw|iccw).*", ""),
+            ("cc_is_icc",      ".*(intel|icc).*", ""),  # intel unix like
+            ("cc_is_msvc",     ".*msvc.*", ""),
+            ("cc_is_fcc",     ".*fcc.*", ""),
+            # undefined compiler will be treat it as gcc
+            ("cc_is_nocc",     "", ""),
+        )
+        detect_args = (
+           ("cc_has_debug",  ".*(O0|Od|ggdb|coverage|debug:full).*", ""),
+           ("cc_has_native",
+                ".*(-march=native|-xHost|/QxHost|-mcpu=a64fx).*", ""),
+           # in case if the class run with -DNPY_DISABLE_OPTIMIZATION
+           ("cc_noopt", ".*DISABLE_OPT.*", ""),
+        )
+
+        dist_info = self.dist_info()
+        platform, compiler_info, extra_args = dist_info
+        # set False to all attrs
+        for section in (detect_arch, detect_compiler, detect_args):
+            for attr, rgex, cexpr in section:
+                setattr(self, attr, False)
+
+        for detect, searchin in ((detect_arch, platform), (detect_compiler, compiler_info)):
+            for attr, rgex, cexpr in detect:
+                if rgex and not re.match(rgex, searchin, re.IGNORECASE):
+                    continue
+                if cexpr and not self.cc_test_cexpr(cexpr):
+                    continue
+                setattr(self, attr, True)
+                break
+
+        for attr, rgex, cexpr in detect_args:
+            if rgex and not re.match(rgex, extra_args, re.IGNORECASE):
+                continue
+            if cexpr and not self.cc_test_cexpr(cexpr):
+                continue
+            setattr(self, attr, True)
+
+        if self.cc_on_noarch:
+            self.dist_log(
+                "unable to detect CPU architecture which lead to disable the optimization. "
+                f"check dist_info:<<\n{dist_info}\n>>",
+                stderr=True
+            )
+            self.cc_noopt = True
+
+        if self.conf_noopt:
+            self.dist_log("Optimization is disabled by the Config", stderr=True)
+            self.cc_noopt = True
+
+        if self.cc_is_nocc:
+            """
+            mingw can be treated as a gcc, and also xlc even if it based on clang,
+            but still has the same gcc optimization flags.
+            """
+            self.dist_log(
+                "unable to detect compiler type which leads to treating it as GCC. "
+                "this is a normal behavior if you're using gcc-like compiler such as MinGW or IBM/XLC."
+                f"check dist_info:<<\n{dist_info}\n>>",
+                stderr=True
+            )
+            self.cc_is_gcc = True
+
+        self.cc_march = "unknown"
+        for arch in ("x86", "x64", "ppc64", "ppc64le",
+                     "armhf", "aarch64", "s390x"):
+            if getattr(self, "cc_on_" + arch):
+                self.cc_march = arch
+                break
+
+        self.cc_name = "unknown"
+        for name in ("gcc", "clang", "iccw", "icc", "msvc", "fcc"):
+            if getattr(self, "cc_is_" + name):
+                self.cc_name = name
+                break
+
+        self.cc_flags = {}
+        compiler_flags = self.conf_cc_flags.get(self.cc_name)
+        if compiler_flags is None:
+            self.dist_fatal(
+                "undefined flag for compiler '%s', "
+                "leave an empty dict instead" % self.cc_name
+            )
+        for name, flags in compiler_flags.items():
+            self.cc_flags[name] = nflags = []
+            if flags:
+                assert(isinstance(flags, str))
+                flags = flags.split()
+                for f in flags:
+                    if self.cc_test_flags([f]):
+                        nflags.append(f)
+
+        self.cc_is_cached = True
+
+    @_Cache.me
+    def cc_test_flags(self, flags):
+        """
+        Returns True if the compiler supports 'flags'.
+        """
+        assert(isinstance(flags, list))
+        self.dist_log("testing flags", flags)
+        test_path = os.path.join(self.conf_check_path, "test_flags.c")
+        test = self.dist_test(test_path, flags)
+        if not test:
+            self.dist_log("testing failed", stderr=True)
+        return test
+
+    @_Cache.me
+    def cc_test_cexpr(self, cexpr, flags=[]):
+        """
+        Same as the above but supports compile-time expressions.
+        """
+        self.dist_log("testing compiler expression", cexpr)
+        test_path = os.path.join(self.conf_tmp_path, "npy_dist_test_cexpr.c")
+        with open(test_path, "w") as fd:
+            fd.write(textwrap.dedent(f"""\
+               #if !({cexpr})
+                   #error "unsupported expression"
+               #endif
+               int dummy;
+            """))
+        test = self.dist_test(test_path, flags)
+        if not test:
+            self.dist_log("testing failed", stderr=True)
+        return test
+
+    def cc_normalize_flags(self, flags):
+        """
+        Remove the conflicts that caused due gathering implied features flags.
+
+        Parameters
+        ----------
+        'flags' list, compiler flags
+            flags should be sorted from the lowest to the highest interest.
+
+        Returns
+        -------
+        list, filtered from any conflicts.
+
+        Examples
+        --------
+        >>> self.cc_normalize_flags(['-march=armv8.2-a+fp16', '-march=armv8.2-a+dotprod'])
+        ['armv8.2-a+fp16+dotprod']
+
+        >>> self.cc_normalize_flags(
+            ['-msse', '-msse2', '-msse3', '-mssse3', '-msse4.1', '-msse4.2', '-mavx', '-march=core-avx2']
+        )
+        ['-march=core-avx2']
+        """
+        assert(isinstance(flags, list))
+        if self.cc_is_gcc or self.cc_is_clang or self.cc_is_icc:
+            return self._cc_normalize_unix(flags)
+
+        if self.cc_is_msvc or self.cc_is_iccw:
+            return self._cc_normalize_win(flags)
+        return flags
+
+    _cc_normalize_unix_mrgx = re.compile(
+        # 1- to check the highest of
+        r"^(-mcpu=|-march=|-x[A-Z0-9\-])"
+    )
+    _cc_normalize_unix_frgx = re.compile(
+        # 2- to remove any flags starts with
+        # -march, -mcpu, -x(INTEL) and '-m' without '='
+        r"^(?!(-mcpu=|-march=|-x[A-Z0-9\-]|-m[a-z0-9\-\.]*.$))|"
+        # exclude:
+        r"(?:-mzvector)"
+    )
+    _cc_normalize_unix_krgx = re.compile(
+        # 3- keep only the highest of
+        r"^(-mfpu|-mtune)"
+    )
+    _cc_normalize_arch_ver = re.compile(
+        r"[0-9.]"
+    )
+    def _cc_normalize_unix(self, flags):
+        def ver_flags(f):
+            #        arch ver  subflag
+            # -march=armv8.2-a+fp16fml
+            tokens = f.split('+')
+            ver = float('0' + ''.join(
+                re.findall(self._cc_normalize_arch_ver, tokens[0])
+            ))
+            return ver, tokens[0], tokens[1:]
+
+        if len(flags) <= 1:
+            return flags
+        # get the highest matched flag
+        for i, cur_flag in enumerate(reversed(flags)):
+            if not re.match(self._cc_normalize_unix_mrgx, cur_flag):
+                continue
+            lower_flags = flags[:-(i+1)]
+            upper_flags = flags[-i:]
+            filtered = list(filter(
+                self._cc_normalize_unix_frgx.search, lower_flags
+            ))
+            # gather subflags
+            ver, arch, subflags = ver_flags(cur_flag)
+            if ver > 0 and len(subflags) > 0:
+                for xflag in lower_flags:
+                    xver, _, xsubflags = ver_flags(xflag)
+                    if ver == xver:
+                        subflags = xsubflags + subflags
+                cur_flag = arch + '+' + '+'.join(subflags)
+
+            flags = filtered + [cur_flag]
+            if i > 0:
+                flags += upper_flags
+            break
+
+        # to remove overridable flags
+        final_flags = []
+        matched = set()
+        for f in reversed(flags):
+            match = re.match(self._cc_normalize_unix_krgx, f)
+            if not match:
+                pass
+            elif match[0] in matched:
+                continue
+            else:
+                matched.add(match[0])
+            final_flags.insert(0, f)
+        return final_flags
+
+    _cc_normalize_win_frgx = re.compile(
+        r"^(?!(/arch\:|/Qx\:))"
+    )
+    _cc_normalize_win_mrgx = re.compile(
+        r"^(/arch|/Qx:)"
+    )
+    def _cc_normalize_win(self, flags):
+        for i, f in enumerate(reversed(flags)):
+            if not re.match(self._cc_normalize_win_mrgx, f):
+                continue
+            i += 1
+            return list(filter(
+                self._cc_normalize_win_frgx.search, flags[:-i]
+            )) + flags[-i:]
+        return flags
+
+class _Feature:
+    """A helper class for `CCompilerOpt` that managing CPU features.
+
+    Attributes
+    ----------
+    feature_supported : dict
+        Dictionary containing all CPU features that supported
+        by the platform, according to the specified values in attribute
+        `_Config.conf_features` and `_Config.conf_features_partial()`
+
+    feature_min : set
+        The minimum support of CPU features, according to
+        the specified values in attribute `_Config.conf_min_features`.
+    """
+    def __init__(self):
+        if hasattr(self, "feature_is_cached"):
+            return
+        self.feature_supported = pfeatures = self.conf_features_partial()
+        for feature_name in list(pfeatures.keys()):
+            feature  = pfeatures[feature_name]
+            cfeature = self.conf_features[feature_name]
+            feature.update({
+                k:v for k,v in cfeature.items() if k not in feature
+            })
+            disabled = feature.get("disable")
+            if disabled is not None:
+                pfeatures.pop(feature_name)
+                self.dist_log(
+                    "feature '%s' is disabled," % feature_name,
+                    disabled, stderr=True
+                )
+                continue
+            # list is used internally for these options
+            for option in (
+                "implies", "group", "detect", "headers", "flags", "extra_checks"
+            ) :
+                oval = feature.get(option)
+                if isinstance(oval, str):
+                    feature[option] = oval.split()
+
+        self.feature_min = set()
+        min_f = self.conf_min_features.get(self.cc_march, "")
+        for F in min_f.upper().split():
+            if F in self.feature_supported:
+                self.feature_min.add(F)
+
+        self.feature_is_cached = True
+
+    def feature_names(self, names=None, force_flags=None, macros=[]):
+        """
+        Returns a set of CPU feature names that supported by platform and the **C** compiler.
+
+        Parameters
+        ----------
+        names : sequence or None, optional
+            Specify certain CPU features to test it against the **C** compiler.
+            if None(default), it will test all current supported features.
+            **Note**: feature names must be in upper-case.
+
+        force_flags : list or None, optional
+            If None(default), default compiler flags for every CPU feature will
+            be used during the test.
+
+        macros : list of tuples, optional
+            A list of C macro definitions.
+        """
+        assert(
+            names is None or (
+                not isinstance(names, str) and
+                hasattr(names, "__iter__")
+            )
+        )
+        assert(force_flags is None or isinstance(force_flags, list))
+        if names is None:
+            names = self.feature_supported.keys()
+        supported_names = set()
+        for f in names:
+            if self.feature_is_supported(
+                f, force_flags=force_flags, macros=macros
+            ):
+                supported_names.add(f)
+        return supported_names
+
+    def feature_is_exist(self, name):
+        """
+        Returns True if a certain feature is exist and covered within
+        ``_Config.conf_features``.
+
+        Parameters
+        ----------
+        'name': str
+            feature name in uppercase.
+        """
+        assert(name.isupper())
+        return name in self.conf_features
+
+    def feature_sorted(self, names, reverse=False):
+        """
+        Sort a list of CPU features ordered by the lowest interest.
+
+        Parameters
+        ----------
+        'names': sequence
+            sequence of supported feature names in uppercase.
+        'reverse': bool, optional
+            If true, the sorted features is reversed. (highest interest)
+
+        Returns
+        -------
+        list, sorted CPU features
+        """
+        def sort_cb(k):
+            if isinstance(k, str):
+                return self.feature_supported[k]["interest"]
+            # multiple features
+            rank = max([self.feature_supported[f]["interest"] for f in k])
+            # FIXME: that's not a safe way to increase the rank for
+            # multi targets
+            rank += len(k) -1
+            return rank
+        return sorted(names, reverse=reverse, key=sort_cb)
+
+    def feature_implies(self, names, keep_origins=False):
+        """
+        Return a set of CPU features that implied by 'names'
+
+        Parameters
+        ----------
+        names : str or sequence of str
+            CPU feature name(s) in uppercase.
+
+        keep_origins : bool
+            if False(default) then the returned set will not contain any
+            features from 'names'. This case happens only when two features
+            imply each other.
+
+        Examples
+        --------
+        >>> self.feature_implies("SSE3")
+        {'SSE', 'SSE2'}
+        >>> self.feature_implies("SSE2")
+        {'SSE'}
+        >>> self.feature_implies("SSE2", keep_origins=True)
+        # 'SSE2' found here since 'SSE' and 'SSE2' imply each other
+        {'SSE', 'SSE2'}
+        """
+        def get_implies(name, _caller=set()):
+            implies = set()
+            d = self.feature_supported[name]
+            for i in d.get("implies", []):
+                implies.add(i)
+                if i in _caller:
+                    # infinity recursive guard since
+                    # features can imply each other
+                    continue
+                _caller.add(name)
+                implies = implies.union(get_implies(i, _caller))
+            return implies
+
+        if isinstance(names, str):
+            implies = get_implies(names)
+            names = [names]
+        else:
+            assert(hasattr(names, "__iter__"))
+            implies = set()
+            for n in names:
+                implies = implies.union(get_implies(n))
+        if not keep_origins:
+            implies.difference_update(names)
+        return implies
+
+    def feature_implies_c(self, names):
+        """same as feature_implies() but combining 'names'"""
+        if isinstance(names, str):
+            names = set((names,))
+        else:
+            names = set(names)
+        return names.union(self.feature_implies(names))
+
+    def feature_ahead(self, names):
+        """
+        Return list of features in 'names' after remove any
+        implied features and keep the origins.
+
+        Parameters
+        ----------
+        'names': sequence
+            sequence of CPU feature names in uppercase.
+
+        Returns
+        -------
+        list of CPU features sorted as-is 'names'
+
+        Examples
+        --------
+        >>> self.feature_ahead(["SSE2", "SSE3", "SSE41"])
+        ["SSE41"]
+        # assume AVX2 and FMA3 implies each other and AVX2
+        # is the highest interest
+        >>> self.feature_ahead(["SSE2", "SSE3", "SSE41", "AVX2", "FMA3"])
+        ["AVX2"]
+        # assume AVX2 and FMA3 don't implies each other
+        >>> self.feature_ahead(["SSE2", "SSE3", "SSE41", "AVX2", "FMA3"])
+        ["AVX2", "FMA3"]
+        """
+        assert(
+            not isinstance(names, str)
+            and hasattr(names, '__iter__')
+        )
+        implies = self.feature_implies(names, keep_origins=True)
+        ahead = [n for n in names if n not in implies]
+        if len(ahead) == 0:
+            # return the highest interested feature
+            # if all features imply each other
+            ahead = self.feature_sorted(names, reverse=True)[:1]
+        return ahead
+
+    def feature_untied(self, names):
+        """
+        same as 'feature_ahead()' but if both features implied each other
+        and keep the highest interest.
+
+        Parameters
+        ----------
+        'names': sequence
+            sequence of CPU feature names in uppercase.
+
+        Returns
+        -------
+        list of CPU features sorted as-is 'names'
+
+        Examples
+        --------
+        >>> self.feature_untied(["SSE2", "SSE3", "SSE41"])
+        ["SSE2", "SSE3", "SSE41"]
+        # assume AVX2 and FMA3 implies each other
+        >>> self.feature_untied(["SSE2", "SSE3", "SSE41", "FMA3", "AVX2"])
+        ["SSE2", "SSE3", "SSE41", "AVX2"]
+        """
+        assert(
+            not isinstance(names, str)
+            and hasattr(names, '__iter__')
+        )
+        final = []
+        for n in names:
+            implies = self.feature_implies(n)
+            tied = [
+                nn for nn in final
+                if nn in implies and n in self.feature_implies(nn)
+            ]
+            if tied:
+                tied = self.feature_sorted(tied + [n])
+                if n not in tied[1:]:
+                    continue
+                final.remove(tied[:1][0])
+            final.append(n)
+        return final
+
+    def feature_get_til(self, names, keyisfalse):
+        """
+        same as `feature_implies_c()` but stop collecting implied
+        features when feature's option that provided through
+        parameter 'keyisfalse' is False, also sorting the returned
+        features.
+        """
+        def til(tnames):
+            # sort from highest to lowest interest then cut if "key" is False
+            tnames = self.feature_implies_c(tnames)
+            tnames = self.feature_sorted(tnames, reverse=True)
+            for i, n in enumerate(tnames):
+                if not self.feature_supported[n].get(keyisfalse, True):
+                    tnames = tnames[:i+1]
+                    break
+            return tnames
+
+        if isinstance(names, str) or len(names) <= 1:
+            names = til(names)
+            # normalize the sort
+            names.reverse()
+            return names
+
+        names = self.feature_ahead(names)
+        names = {t for n in names for t in til(n)}
+        return self.feature_sorted(names)
+
+    def feature_detect(self, names):
+        """
+        Return a list of CPU features that required to be detected
+        sorted from the lowest to highest interest.
+        """
+        names = self.feature_get_til(names, "implies_detect")
+        detect = []
+        for n in names:
+            d = self.feature_supported[n]
+            detect += d.get("detect", d.get("group", [n]))
+        return detect
+
+    @_Cache.me
+    def feature_flags(self, names):
+        """
+        Return a list of CPU features flags sorted from the lowest
+        to highest interest.
+        """
+        names = self.feature_sorted(self.feature_implies_c(names))
+        flags = []
+        for n in names:
+            d = self.feature_supported[n]
+            f = d.get("flags", [])
+            if not f or not self.cc_test_flags(f):
+                continue
+            flags += f
+        return self.cc_normalize_flags(flags)
+
+    @_Cache.me
+    def feature_test(self, name, force_flags=None, macros=[]):
+        """
+        Test a certain CPU feature against the compiler through its own
+        check file.
+
+        Parameters
+        ----------
+        name : str
+            Supported CPU feature name.
+
+        force_flags : list or None, optional
+            If None(default), the returned flags from `feature_flags()`
+            will be used.
+
+        macros : list of tuples, optional
+            A list of C macro definitions.
+        """
+        if force_flags is None:
+            force_flags = self.feature_flags(name)
+
+        self.dist_log(
+            "testing feature '%s' with flags (%s)" % (
+            name, ' '.join(force_flags)
+        ))
+        # Each CPU feature must have C source code contains at
+        # least one intrinsic or instruction related to this feature.
+        test_path = os.path.join(
+            self.conf_check_path, "cpu_%s.c" % name.lower()
+        )
+        if not os.path.exists(test_path):
+            self.dist_fatal("feature test file is not exist", test_path)
+
+        test = self.dist_test(
+            test_path, force_flags + self.cc_flags["werror"], macros=macros
+        )
+        if not test:
+            self.dist_log("testing failed", stderr=True)
+        return test
+
+    @_Cache.me
+    def feature_is_supported(self, name, force_flags=None, macros=[]):
+        """
+        Check if a certain CPU feature is supported by the platform and compiler.
+
+        Parameters
+        ----------
+        name : str
+            CPU feature name in uppercase.
+
+        force_flags : list or None, optional
+            If None(default), default compiler flags for every CPU feature will
+            be used during test.
+
+        macros : list of tuples, optional
+            A list of C macro definitions.
+        """
+        assert(name.isupper())
+        assert(force_flags is None or isinstance(force_flags, list))
+
+        supported = name in self.feature_supported
+        if supported:
+            for impl in self.feature_implies(name):
+                if not self.feature_test(impl, force_flags, macros=macros):
+                    return False
+            if not self.feature_test(name, force_flags, macros=macros):
+                return False
+        return supported
+
+    @_Cache.me
+    def feature_can_autovec(self, name):
+        """
+        check if the feature can be auto-vectorized by the compiler
+        """
+        assert(isinstance(name, str))
+        d = self.feature_supported[name]
+        can = d.get("autovec", None)
+        if can is None:
+            valid_flags = [
+                self.cc_test_flags([f]) for f in d.get("flags", [])
+            ]
+            can = valid_flags and any(valid_flags)
+        return can
+
+    @_Cache.me
+    def feature_extra_checks(self, name):
+        """
+        Return a list of supported extra checks after testing them against
+        the compiler.
+
+        Parameters
+        ----------
+        names : str
+            CPU feature name in uppercase.
+        """
+        assert isinstance(name, str)
+        d = self.feature_supported[name]
+        extra_checks = d.get("extra_checks", [])
+        if not extra_checks:
+            return []
+
+        self.dist_log("Testing extra checks for feature '%s'" % name, extra_checks)
+        flags = self.feature_flags(name)
+        available = []
+        not_available = []
+        for chk in extra_checks:
+            test_path = os.path.join(
+                self.conf_check_path, "extra_%s.c" % chk.lower()
+            )
+            if not os.path.exists(test_path):
+                self.dist_fatal("extra check file does not exist", test_path)
+
+            is_supported = self.dist_test(test_path, flags + self.cc_flags["werror"])
+            if is_supported:
+                available.append(chk)
+            else:
+                not_available.append(chk)
+
+        if not_available:
+            self.dist_log("testing failed for checks", not_available, stderr=True)
+        return available
+
+
+    def feature_c_preprocessor(self, feature_name, tabs=0):
+        """
+        Generate C preprocessor definitions and include headers of a CPU feature.
+
+        Parameters
+        ----------
+        'feature_name': str
+            CPU feature name in uppercase.
+        'tabs': int
+            if > 0, align the generated strings to the right depend on number of tabs.
+
+        Returns
+        -------
+        str, generated C preprocessor
+
+        Examples
+        --------
+        >>> self.feature_c_preprocessor("SSE3")
+        /** SSE3 **/
+        #define NPY_HAVE_SSE3 1
+        #include 
+        """
+        assert(feature_name.isupper())
+        feature = self.feature_supported.get(feature_name)
+        assert(feature is not None)
+
+        prepr = [
+            "/** %s **/" % feature_name,
+            "#define %sHAVE_%s 1" % (self.conf_c_prefix, feature_name)
+        ]
+        prepr += [
+            "#include <%s>" % h for h in feature.get("headers", [])
+        ]
+
+        extra_defs = feature.get("group", [])
+        extra_defs += self.feature_extra_checks(feature_name)
+        for edef in extra_defs:
+            # Guard extra definitions in case of duplicate with
+            # another feature
+            prepr += [
+                "#ifndef %sHAVE_%s" % (self.conf_c_prefix, edef),
+                "\t#define %sHAVE_%s 1" % (self.conf_c_prefix, edef),
+                "#endif",
+            ]
+
+        if tabs > 0:
+            prepr = [('\t'*tabs) + l for l in prepr]
+        return '\n'.join(prepr)
+
+class _Parse:
+    """A helper class that parsing main arguments of `CCompilerOpt`,
+    also parsing configuration statements in dispatch-able sources.
+
+    Parameters
+    ----------
+    cpu_baseline : str or None
+        minimal set of required CPU features or special options.
+
+    cpu_dispatch : str or None
+        dispatched set of additional CPU features or special options.
+
+    Special options can be:
+        - **MIN**: Enables the minimum CPU features that utilized via `_Config.conf_min_features`
+        - **MAX**: Enables all supported CPU features by the Compiler and platform.
+        - **NATIVE**: Enables all CPU features that supported by the current machine.
+        - **NONE**: Enables nothing
+        - **Operand +/-**: remove or add features, useful with options **MAX**, **MIN** and **NATIVE**.
+            NOTE: operand + is only added for nominal reason.
+
+    NOTES:
+        - Case-insensitive among all CPU features and special options.
+        - Comma or space can be used as a separator.
+        - If the CPU feature is not supported by the user platform or compiler,
+          it will be skipped rather than raising a fatal error.
+        - Any specified CPU features to 'cpu_dispatch' will be skipped if its part of CPU baseline features
+        - 'cpu_baseline' force enables implied features.
+
+    Attributes
+    ----------
+    parse_baseline_names : list
+        Final CPU baseline's feature names(sorted from low to high)
+    parse_baseline_flags : list
+        Compiler flags of baseline features
+    parse_dispatch_names : list
+        Final CPU dispatch-able feature names(sorted from low to high)
+    parse_target_groups : dict
+        Dictionary containing initialized target groups that configured
+        through class attribute `conf_target_groups`.
+
+        The key is represent the group name and value is a tuple
+        contains three items :
+            - bool, True if group has the 'baseline' option.
+            - list, list of CPU features.
+            - list, list of extra compiler flags.
+
+    """
+    def __init__(self, cpu_baseline, cpu_dispatch):
+        self._parse_policies = dict(
+            # POLICY NAME, (HAVE, NOT HAVE, [DEB])
+            KEEP_BASELINE = (
+                None, self._parse_policy_not_keepbase,
+                []
+            ),
+            KEEP_SORT = (
+                self._parse_policy_keepsort,
+                self._parse_policy_not_keepsort,
+                []
+            ),
+            MAXOPT = (
+                self._parse_policy_maxopt, None,
+                []
+            ),
+            WERROR = (
+                self._parse_policy_werror, None,
+                []
+            ),
+            AUTOVEC = (
+                self._parse_policy_autovec, None,
+                ["MAXOPT"]
+            )
+        )
+        if hasattr(self, "parse_is_cached"):
+            return
+
+        self.parse_baseline_names = []
+        self.parse_baseline_flags = []
+        self.parse_dispatch_names = []
+        self.parse_target_groups = {}
+
+        if self.cc_noopt:
+            # skip parsing baseline and dispatch args and keep parsing target groups
+            cpu_baseline = cpu_dispatch = None
+
+        self.dist_log("check requested baseline")
+        if cpu_baseline is not None:
+            cpu_baseline = self._parse_arg_features("cpu_baseline", cpu_baseline)
+            baseline_names = self.feature_names(cpu_baseline)
+            self.parse_baseline_flags = self.feature_flags(baseline_names)
+            self.parse_baseline_names = self.feature_sorted(
+                self.feature_implies_c(baseline_names)
+            )
+
+        self.dist_log("check requested dispatch-able features")
+        if cpu_dispatch is not None:
+            cpu_dispatch_ = self._parse_arg_features("cpu_dispatch", cpu_dispatch)
+            cpu_dispatch = {
+                f for f in cpu_dispatch_
+                if f not in self.parse_baseline_names
+            }
+            conflict_baseline = cpu_dispatch_.difference(cpu_dispatch)
+            self.parse_dispatch_names = self.feature_sorted(
+                self.feature_names(cpu_dispatch)
+            )
+            if len(conflict_baseline) > 0:
+                self.dist_log(
+                    "skip features", conflict_baseline, "since its part of baseline"
+                )
+
+        self.dist_log("initialize targets groups")
+        for group_name, tokens in self.conf_target_groups.items():
+            self.dist_log("parse target group", group_name)
+            GROUP_NAME = group_name.upper()
+            if not tokens or not tokens.strip():
+                # allow empty groups, useful in case if there's a need
+                # to disable certain group since '_parse_target_tokens()'
+                # requires at least one valid target
+                self.parse_target_groups[GROUP_NAME] = (
+                    False, [], []
+                )
+                continue
+            has_baseline, features, extra_flags = \
+                self._parse_target_tokens(tokens)
+            self.parse_target_groups[GROUP_NAME] = (
+                has_baseline, features, extra_flags
+            )
+
+        self.parse_is_cached = True
+
+    def parse_targets(self, source):
+        """
+        Fetch and parse configuration statements that required for
+        defining the targeted CPU features, statements should be declared
+        in the top of source in between **C** comment and start
+        with a special mark **@targets**.
+
+        Configuration statements are sort of keywords representing
+        CPU features names, group of statements and policies, combined
+        together to determine the required optimization.
+
+        Parameters
+        ----------
+        source : str
+            the path of **C** source file.
+
+        Returns
+        -------
+        - bool, True if group has the 'baseline' option
+        - list, list of CPU features
+        - list, list of extra compiler flags
+        """
+        self.dist_log("looking for '@targets' inside -> ", source)
+        # get lines between /*@targets and */
+        with open(source) as fd:
+            tokens = ""
+            max_to_reach = 1000 # good enough, isn't?
+            start_with = "@targets"
+            start_pos = -1
+            end_with = "*/"
+            end_pos = -1
+            for current_line, line in enumerate(fd):
+                if current_line == max_to_reach:
+                    self.dist_fatal("reached the max of lines")
+                    break
+                if start_pos == -1:
+                    start_pos = line.find(start_with)
+                    if start_pos == -1:
+                        continue
+                    start_pos += len(start_with)
+                tokens += line
+                end_pos = line.find(end_with)
+                if end_pos != -1:
+                    end_pos += len(tokens) - len(line)
+                    break
+
+        if start_pos == -1:
+            self.dist_fatal("expected to find '%s' within a C comment" % start_with)
+        if end_pos == -1:
+            self.dist_fatal("expected to end with '%s'" % end_with)
+
+        tokens = tokens[start_pos:end_pos]
+        return self._parse_target_tokens(tokens)
+
+    _parse_regex_arg = re.compile(r'\s|,|([+-])')
+    def _parse_arg_features(self, arg_name, req_features):
+        if not isinstance(req_features, str):
+            self.dist_fatal("expected a string in '%s'" % arg_name)
+
+        final_features = set()
+        # space and comma can be used as a separator
+        tokens = list(filter(None, re.split(self._parse_regex_arg, req_features)))
+        append = True # append is the default
+        for tok in tokens:
+            if tok[0] in ("#", "$"):
+                self.dist_fatal(
+                    arg_name, "target groups and policies "
+                    "aren't allowed from arguments, "
+                    "only from dispatch-able sources"
+                )
+            if tok == '+':
+                append = True
+                continue
+            if tok == '-':
+                append = False
+                continue
+
+            TOK = tok.upper() # we use upper-case internally
+            features_to = set()
+            if TOK == "NONE":
+                pass
+            elif TOK == "NATIVE":
+                native = self.cc_flags["native"]
+                if not native:
+                    self.dist_fatal(arg_name,
+                        "native option isn't supported by the compiler"
+                    )
+                features_to = self.feature_names(
+                    force_flags=native, macros=[("DETECT_FEATURES", 1)]
+                )
+            elif TOK == "MAX":
+                features_to = self.feature_supported.keys()
+            elif TOK == "MIN":
+                features_to = self.feature_min
+            else:
+                if TOK in self.feature_supported:
+                    features_to.add(TOK)
+                else:
+                    if not self.feature_is_exist(TOK):
+                        self.dist_fatal(arg_name,
+                            ", '%s' isn't a known feature or option" % tok
+                        )
+            if append:
+                final_features = final_features.union(features_to)
+            else:
+                final_features = final_features.difference(features_to)
+
+            append = True # back to default
+
+        return final_features
+
+    _parse_regex_target = re.compile(r'\s|[*,/]|([()])')
+    def _parse_target_tokens(self, tokens):
+        assert(isinstance(tokens, str))
+        final_targets = [] # to keep it sorted as specified
+        extra_flags = []
+        has_baseline = False
+
+        skipped  = set()
+        policies = set()
+        multi_target = None
+
+        tokens = list(filter(None, re.split(self._parse_regex_target, tokens)))
+        if not tokens:
+            self.dist_fatal("expected one token at least")
+
+        for tok in tokens:
+            TOK = tok.upper()
+            ch = tok[0]
+            if ch in ('+', '-'):
+                self.dist_fatal(
+                    "+/- are 'not' allowed from target's groups or @targets, "
+                    "only from cpu_baseline and cpu_dispatch parms"
+                )
+            elif ch == '$':
+                if multi_target is not None:
+                    self.dist_fatal(
+                        "policies aren't allowed inside multi-target '()'"
+                        ", only CPU features"
+                    )
+                policies.add(self._parse_token_policy(TOK))
+            elif ch == '#':
+                if multi_target is not None:
+                    self.dist_fatal(
+                        "target groups aren't allowed inside multi-target '()'"
+                        ", only CPU features"
+                    )
+                has_baseline, final_targets, extra_flags = \
+                self._parse_token_group(TOK, has_baseline, final_targets, extra_flags)
+            elif ch == '(':
+                if multi_target is not None:
+                    self.dist_fatal("unclosed multi-target, missing ')'")
+                multi_target = set()
+            elif ch == ')':
+                if multi_target is None:
+                    self.dist_fatal("multi-target opener '(' wasn't found")
+                targets = self._parse_multi_target(multi_target)
+                if targets is None:
+                    skipped.add(tuple(multi_target))
+                else:
+                    if len(targets) == 1:
+                        targets = targets[0]
+                    if targets and targets not in final_targets:
+                        final_targets.append(targets)
+                multi_target = None # back to default
+            else:
+                if TOK == "BASELINE":
+                    if multi_target is not None:
+                        self.dist_fatal("baseline isn't allowed inside multi-target '()'")
+                    has_baseline = True
+                    continue
+
+                if multi_target is not None:
+                    multi_target.add(TOK)
+                    continue
+
+                if not self.feature_is_exist(TOK):
+                    self.dist_fatal("invalid target name '%s'" % TOK)
+
+                is_enabled = (
+                    TOK in self.parse_baseline_names or
+                    TOK in self.parse_dispatch_names
+                )
+                if  is_enabled:
+                    if TOK not in final_targets:
+                        final_targets.append(TOK)
+                    continue
+
+                skipped.add(TOK)
+
+        if multi_target is not None:
+            self.dist_fatal("unclosed multi-target, missing ')'")
+        if skipped:
+            self.dist_log(
+                "skip targets", skipped,
+                "not part of baseline or dispatch-able features"
+            )
+
+        final_targets = self.feature_untied(final_targets)
+
+        # add polices dependencies
+        for p in list(policies):
+            _, _, deps = self._parse_policies[p]
+            for d in deps:
+                if d in policies:
+                    continue
+                self.dist_log(
+                    "policy '%s' force enables '%s'" % (
+                    p, d
+                ))
+                policies.add(d)
+
+        # release policies filtrations
+        for p, (have, nhave, _) in self._parse_policies.items():
+            func = None
+            if p in policies:
+                func = have
+                self.dist_log("policy '%s' is ON" % p)
+            else:
+                func = nhave
+            if not func:
+                continue
+            has_baseline, final_targets, extra_flags = func(
+                has_baseline, final_targets, extra_flags
+            )
+
+        return has_baseline, final_targets, extra_flags
+
+    def _parse_token_policy(self, token):
+        """validate policy token"""
+        if len(token) <= 1 or token[-1:] == token[0]:
+            self.dist_fatal("'$' must stuck in the begin of policy name")
+        token = token[1:]
+        if token not in self._parse_policies:
+            self.dist_fatal(
+                "'%s' is an invalid policy name, available policies are" % token,
+                self._parse_policies.keys()
+            )
+        return token
+
+    def _parse_token_group(self, token, has_baseline, final_targets, extra_flags):
+        """validate group token"""
+        if len(token) <= 1 or token[-1:] == token[0]:
+            self.dist_fatal("'#' must stuck in the begin of group name")
+
+        token = token[1:]
+        ghas_baseline, gtargets, gextra_flags = self.parse_target_groups.get(
+            token, (False, None, [])
+        )
+        if gtargets is None:
+            self.dist_fatal(
+                "'%s' is an invalid target group name, " % token + \
+                "available target groups are",
+                self.parse_target_groups.keys()
+            )
+        if ghas_baseline:
+            has_baseline = True
+        # always keep sorting as specified
+        final_targets += [f for f in gtargets if f not in final_targets]
+        extra_flags += [f for f in gextra_flags if f not in extra_flags]
+        return has_baseline, final_targets, extra_flags
+
+    def _parse_multi_target(self, targets):
+        """validate multi targets that defined between parentheses()"""
+        # remove any implied features and keep the origins
+        if not targets:
+            self.dist_fatal("empty multi-target '()'")
+        if not all([
+            self.feature_is_exist(tar) for tar in targets
+        ]) :
+            self.dist_fatal("invalid target name in multi-target", targets)
+        if not all([
+            (
+                tar in self.parse_baseline_names or
+                tar in self.parse_dispatch_names
+            )
+            for tar in targets
+        ]) :
+            return None
+        targets = self.feature_ahead(targets)
+        if not targets:
+            return None
+        # force sort multi targets, so it can be comparable
+        targets = self.feature_sorted(targets)
+        targets = tuple(targets) # hashable
+        return targets
+
+    def _parse_policy_not_keepbase(self, has_baseline, final_targets, extra_flags):
+        """skip all baseline features"""
+        skipped = []
+        for tar in final_targets[:]:
+            is_base = False
+            if isinstance(tar, str):
+                is_base = tar in self.parse_baseline_names
+            else:
+                # multi targets
+                is_base = all([
+                    f in self.parse_baseline_names
+                    for f in tar
+                ])
+            if is_base:
+                skipped.append(tar)
+                final_targets.remove(tar)
+
+        if skipped:
+            self.dist_log("skip baseline features", skipped)
+
+        return has_baseline, final_targets, extra_flags
+
+    def _parse_policy_keepsort(self, has_baseline, final_targets, extra_flags):
+        """leave a notice that $keep_sort is on"""
+        self.dist_log(
+            "policy 'keep_sort' is on, dispatch-able targets", final_targets, "\n"
+            "are 'not' sorted depend on the highest interest but"
+            "as specified in the dispatch-able source or the extra group"
+        )
+        return has_baseline, final_targets, extra_flags
+
+    def _parse_policy_not_keepsort(self, has_baseline, final_targets, extra_flags):
+        """sorted depend on the highest interest"""
+        final_targets = self.feature_sorted(final_targets, reverse=True)
+        return has_baseline, final_targets, extra_flags
+
+    def _parse_policy_maxopt(self, has_baseline, final_targets, extra_flags):
+        """append the compiler optimization flags"""
+        if self.cc_has_debug:
+            self.dist_log("debug mode is detected, policy 'maxopt' is skipped.")
+        elif self.cc_noopt:
+            self.dist_log("optimization is disabled, policy 'maxopt' is skipped.")
+        else:
+            flags = self.cc_flags["opt"]
+            if not flags:
+                self.dist_log(
+                    "current compiler doesn't support optimization flags, "
+                    "policy 'maxopt' is skipped", stderr=True
+                )
+            else:
+                extra_flags += flags
+        return has_baseline, final_targets, extra_flags
+
+    def _parse_policy_werror(self, has_baseline, final_targets, extra_flags):
+        """force warnings to treated as errors"""
+        flags = self.cc_flags["werror"]
+        if not flags:
+            self.dist_log(
+                "current compiler doesn't support werror flags, "
+                "warnings will 'not' treated as errors", stderr=True
+            )
+        else:
+            self.dist_log("compiler warnings are treated as errors")
+            extra_flags += flags
+        return has_baseline, final_targets, extra_flags
+
+    def _parse_policy_autovec(self, has_baseline, final_targets, extra_flags):
+        """skip features that has no auto-vectorized support by compiler"""
+        skipped = []
+        for tar in final_targets[:]:
+            if isinstance(tar, str):
+                can = self.feature_can_autovec(tar)
+            else: # multiple target
+                can = all([
+                    self.feature_can_autovec(t)
+                    for t in tar
+                ])
+            if not can:
+                final_targets.remove(tar)
+                skipped.append(tar)
+
+        if skipped:
+            self.dist_log("skip non auto-vectorized features", skipped)
+
+        return has_baseline, final_targets, extra_flags
+
+class CCompilerOpt(_Config, _Distutils, _Cache, _CCompiler, _Feature, _Parse):
+    """
+    A helper class for `CCompiler` aims to provide extra build options
+    to effectively control of compiler optimizations that are directly
+    related to CPU features.
+    """
+    def __init__(self, ccompiler, cpu_baseline="min", cpu_dispatch="max", cache_path=None):
+        _Config.__init__(self)
+        _Distutils.__init__(self, ccompiler)
+        _Cache.__init__(self, cache_path, self.dist_info(), cpu_baseline, cpu_dispatch)
+        _CCompiler.__init__(self)
+        _Feature.__init__(self)
+        if not self.cc_noopt and self.cc_has_native:
+            self.dist_log(
+                "native flag is specified through environment variables. "
+                "force cpu-baseline='native'"
+            )
+            cpu_baseline = "native"
+        _Parse.__init__(self, cpu_baseline, cpu_dispatch)
+        # keep the requested features untouched, need it later for report
+        # and trace purposes
+        self._requested_baseline = cpu_baseline
+        self._requested_dispatch = cpu_dispatch
+        # key is the dispatch-able source and value is a tuple
+        # contains two items (has_baseline[boolean], dispatched-features[list])
+        self.sources_status = getattr(self, "sources_status", {})
+        # every instance should has a separate one
+        self.cache_private.add("sources_status")
+        # set it at the end to make sure the cache writing was done after init
+        # this class
+        self.hit_cache = hasattr(self, "hit_cache")
+
+    def is_cached(self):
+        """
+        Returns True if the class loaded from the cache file
+        """
+        return self.cache_infile and self.hit_cache
+
+    def cpu_baseline_flags(self):
+        """
+        Returns a list of final CPU baseline compiler flags
+        """
+        return self.parse_baseline_flags
+
+    def cpu_baseline_names(self):
+        """
+        return a list of final CPU baseline feature names
+        """
+        return self.parse_baseline_names
+
+    def cpu_dispatch_names(self):
+        """
+        return a list of final CPU dispatch feature names
+        """
+        return self.parse_dispatch_names
+
+    def try_dispatch(self, sources, src_dir=None, ccompiler=None, **kwargs):
+        """
+        Compile one or more dispatch-able sources and generates object files,
+        also generates abstract C config headers and macros that
+        used later for the final runtime dispatching process.
+
+        The mechanism behind it is to takes each source file that specified
+        in 'sources' and branching it into several files depend on
+        special configuration statements that must be declared in the
+        top of each source which contains targeted CPU features,
+        then it compiles every branched source with the proper compiler flags.
+
+        Parameters
+        ----------
+        sources : list
+            Must be a list of dispatch-able sources file paths,
+            and configuration statements must be declared inside
+            each file.
+
+        src_dir : str
+            Path of parent directory for the generated headers and wrapped sources.
+            If None(default) the files will generated in-place.
+
+        ccompiler : CCompiler
+            Distutils `CCompiler` instance to be used for compilation.
+            If None (default), the provided instance during the initialization
+            will be used instead.
+
+        **kwargs : any
+            Arguments to pass on to the `CCompiler.compile()`
+
+        Returns
+        -------
+        list : generated object files
+
+        Raises
+        ------
+        CompileError
+            Raises by `CCompiler.compile()` on compiling failure.
+        DistutilsError
+            Some errors during checking the sanity of configuration statements.
+
+        See Also
+        --------
+        parse_targets :
+            Parsing the configuration statements of dispatch-able sources.
+        """
+        to_compile = {}
+        baseline_flags = self.cpu_baseline_flags()
+        include_dirs = kwargs.setdefault("include_dirs", [])
+
+        for src in sources:
+            output_dir = os.path.dirname(src)
+            if src_dir:
+                if not output_dir.startswith(src_dir):
+                    output_dir = os.path.join(src_dir, output_dir)
+                if output_dir not in include_dirs:
+                    # To allow including the generated config header(*.dispatch.h)
+                    # by the dispatch-able sources
+                    include_dirs.append(output_dir)
+
+            has_baseline, targets, extra_flags = self.parse_targets(src)
+            nochange = self._generate_config(output_dir, src, targets, has_baseline)
+            for tar in targets:
+                tar_src = self._wrap_target(output_dir, src, tar, nochange=nochange)
+                flags = tuple(extra_flags + self.feature_flags(tar))
+                to_compile.setdefault(flags, []).append(tar_src)
+
+            if has_baseline:
+                flags = tuple(extra_flags + baseline_flags)
+                to_compile.setdefault(flags, []).append(src)
+
+            self.sources_status[src] = (has_baseline, targets)
+
+        # For these reasons, the sources are compiled in a separate loop:
+        # - Gathering all sources with the same flags to benefit from
+        #   the parallel compiling as much as possible.
+        # - To generate all config headers of the dispatchable sources,
+        #   before the compilation in case if there are dependency relationships
+        #   among them.
+        objects = []
+        for flags, srcs in to_compile.items():
+            objects += self.dist_compile(
+                srcs, list(flags), ccompiler=ccompiler, **kwargs
+            )
+        return objects
+
+    def generate_dispatch_header(self, header_path):
+        """
+        Generate the dispatch header which contains the #definitions and headers
+        for platform-specific instruction-sets for the enabled CPU baseline and
+        dispatch-able features.
+
+        Its highly recommended to take a look at the generated header
+        also the generated source files via `try_dispatch()`
+        in order to get the full picture.
+        """
+        self.dist_log("generate CPU dispatch header: (%s)" % header_path)
+
+        baseline_names = self.cpu_baseline_names()
+        dispatch_names = self.cpu_dispatch_names()
+        baseline_len = len(baseline_names)
+        dispatch_len = len(dispatch_names)
+
+        header_dir = os.path.dirname(header_path)
+        if not os.path.exists(header_dir):
+            self.dist_log(
+                f"dispatch header dir {header_dir} does not exist, creating it",
+                stderr=True
+            )
+            os.makedirs(header_dir)
+
+        with open(header_path, 'w') as f:
+            baseline_calls = ' \\\n'.join([
+                (
+                    "\t%sWITH_CPU_EXPAND_(MACRO_TO_CALL(%s, __VA_ARGS__))"
+                ) % (self.conf_c_prefix, f)
+                for f in baseline_names
+            ])
+            dispatch_calls = ' \\\n'.join([
+                (
+                    "\t%sWITH_CPU_EXPAND_(MACRO_TO_CALL(%s, __VA_ARGS__))"
+                ) % (self.conf_c_prefix, f)
+                for f in dispatch_names
+            ])
+            f.write(textwrap.dedent("""\
+                /*
+                 * AUTOGENERATED DON'T EDIT
+                 * Please make changes to the code generator (distutils/ccompiler_opt.py)
+                */
+                #define {pfx}WITH_CPU_BASELINE  "{baseline_str}"
+                #define {pfx}WITH_CPU_DISPATCH  "{dispatch_str}"
+                #define {pfx}WITH_CPU_BASELINE_N {baseline_len}
+                #define {pfx}WITH_CPU_DISPATCH_N {dispatch_len}
+                #define {pfx}WITH_CPU_EXPAND_(X) X
+                #define {pfx}WITH_CPU_BASELINE_CALL(MACRO_TO_CALL, ...) \\
+                {baseline_calls}
+                #define {pfx}WITH_CPU_DISPATCH_CALL(MACRO_TO_CALL, ...) \\
+                {dispatch_calls}
+            """).format(
+                pfx=self.conf_c_prefix, baseline_str=" ".join(baseline_names),
+                dispatch_str=" ".join(dispatch_names), baseline_len=baseline_len,
+                dispatch_len=dispatch_len, baseline_calls=baseline_calls,
+                dispatch_calls=dispatch_calls
+            ))
+            baseline_pre = ''
+            for name in baseline_names:
+                baseline_pre += self.feature_c_preprocessor(name, tabs=1) + '\n'
+
+            dispatch_pre = ''
+            for name in dispatch_names:
+                dispatch_pre += textwrap.dedent("""\
+                #ifdef {pfx}CPU_TARGET_{name}
+                {pre}
+                #endif /*{pfx}CPU_TARGET_{name}*/
+                """).format(
+                    pfx=self.conf_c_prefix_, name=name, pre=self.feature_c_preprocessor(
+                    name, tabs=1
+                ))
+
+            f.write(textwrap.dedent("""\
+            /******* baseline features *******/
+            {baseline_pre}
+            /******* dispatch features *******/
+            {dispatch_pre}
+            """).format(
+                pfx=self.conf_c_prefix_, baseline_pre=baseline_pre,
+                dispatch_pre=dispatch_pre
+            ))
+
+    def report(self, full=False):
+        report = []
+        platform_rows = []
+        baseline_rows = []
+        dispatch_rows = []
+        report.append(("Platform", platform_rows))
+        report.append(("", ""))
+        report.append(("CPU baseline", baseline_rows))
+        report.append(("", ""))
+        report.append(("CPU dispatch", dispatch_rows))
+
+        ########## platform ##########
+        platform_rows.append(("Architecture", (
+            "unsupported" if self.cc_on_noarch else self.cc_march)
+        ))
+        platform_rows.append(("Compiler", (
+            "unix-like"   if self.cc_is_nocc   else self.cc_name)
+        ))
+        ########## baseline ##########
+        if self.cc_noopt:
+            baseline_rows.append(("Requested", "optimization disabled"))
+        else:
+            baseline_rows.append(("Requested", repr(self._requested_baseline)))
+
+        baseline_names = self.cpu_baseline_names()
+        baseline_rows.append((
+            "Enabled", (' '.join(baseline_names) if baseline_names else "none")
+        ))
+        baseline_flags = self.cpu_baseline_flags()
+        baseline_rows.append((
+            "Flags", (' '.join(baseline_flags) if baseline_flags else "none")
+        ))
+        extra_checks = []
+        for name in baseline_names:
+            extra_checks += self.feature_extra_checks(name)
+        baseline_rows.append((
+            "Extra checks", (' '.join(extra_checks) if extra_checks else "none")
+        ))
+
+        ########## dispatch ##########
+        if self.cc_noopt:
+            baseline_rows.append(("Requested", "optimization disabled"))
+        else:
+            dispatch_rows.append(("Requested", repr(self._requested_dispatch)))
+
+        dispatch_names = self.cpu_dispatch_names()
+        dispatch_rows.append((
+            "Enabled", (' '.join(dispatch_names) if dispatch_names else "none")
+        ))
+        ########## Generated ##########
+        # TODO:
+        # - collect object names from 'try_dispatch()'
+        #   then get size of each object and printed
+        # - give more details about the features that not
+        #   generated due compiler support
+        # - find a better output's design.
+        #
+        target_sources = {}
+        for source, (_, targets) in self.sources_status.items():
+            for tar in targets:
+                target_sources.setdefault(tar, []).append(source)
+
+        if not full or not target_sources:
+            generated = ""
+            for tar in self.feature_sorted(target_sources):
+                sources = target_sources[tar]
+                name = tar if isinstance(tar, str) else '(%s)' % ' '.join(tar)
+                generated += name + "[%d] " % len(sources)
+            dispatch_rows.append(("Generated", generated[:-1] if generated else "none"))
+        else:
+            dispatch_rows.append(("Generated", ''))
+            for tar in self.feature_sorted(target_sources):
+                sources = target_sources[tar]
+                pretty_name = tar if isinstance(tar, str) else '(%s)' % ' '.join(tar)
+                flags = ' '.join(self.feature_flags(tar))
+                implies = ' '.join(self.feature_sorted(self.feature_implies(tar)))
+                detect = ' '.join(self.feature_detect(tar))
+                extra_checks = []
+                for name in ((tar,) if isinstance(tar, str) else tar):
+                    extra_checks += self.feature_extra_checks(name)
+                extra_checks = (' '.join(extra_checks) if extra_checks else "none")
+
+                dispatch_rows.append(('', ''))
+                dispatch_rows.append((pretty_name, implies))
+                dispatch_rows.append(("Flags", flags))
+                dispatch_rows.append(("Extra checks", extra_checks))
+                dispatch_rows.append(("Detect", detect))
+                for src in sources:
+                    dispatch_rows.append(("", src))
+
+        ###############################
+        # TODO: add support for 'markdown' format
+        text = []
+        secs_len = [len(secs) for secs, _ in report]
+        cols_len = [len(col) for _, rows in report for col, _ in rows]
+        tab = ' ' * 2
+        pad =  max(max(secs_len), max(cols_len))
+        for sec, rows in report:
+            if not sec:
+                text.append("") # empty line
+                continue
+            sec += ' ' * (pad - len(sec))
+            text.append(sec + tab + ': ')
+            for col, val in rows:
+                col += ' ' * (pad - len(col))
+                text.append(tab + col + ': ' + val)
+
+        return '\n'.join(text)
+
+    def _wrap_target(self, output_dir, dispatch_src, target, nochange=False):
+        assert(isinstance(target, (str, tuple)))
+        if isinstance(target, str):
+            ext_name = target_name = target
+        else:
+            # multi-target
+            ext_name = '.'.join(target)
+            target_name = '__'.join(target)
+
+        wrap_path = os.path.join(output_dir, os.path.basename(dispatch_src))
+        wrap_path = "{0}.{2}{1}".format(*os.path.splitext(wrap_path), ext_name.lower())
+        if nochange and os.path.exists(wrap_path):
+            return wrap_path
+
+        self.dist_log("wrap dispatch-able target -> ", wrap_path)
+        # sorting for readability
+        features = self.feature_sorted(self.feature_implies_c(target))
+        target_join = "#define %sCPU_TARGET_" % self.conf_c_prefix_
+        target_defs = [target_join + f for f in features]
+        target_defs = '\n'.join(target_defs)
+
+        with open(wrap_path, "w") as fd:
+            fd.write(textwrap.dedent("""\
+            /**
+             * AUTOGENERATED DON'T EDIT
+             * Please make changes to the code generator \
+             (distutils/ccompiler_opt.py)
+             */
+            #define {pfx}CPU_TARGET_MODE
+            #define {pfx}CPU_TARGET_CURRENT {target_name}
+            {target_defs}
+            #include "{path}"
+            """).format(
+                pfx=self.conf_c_prefix_, target_name=target_name,
+                path=os.path.abspath(dispatch_src), target_defs=target_defs
+            ))
+        return wrap_path
+
+    def _generate_config(self, output_dir, dispatch_src, targets, has_baseline=False):
+        config_path = os.path.basename(dispatch_src)
+        config_path = os.path.splitext(config_path)[0] + '.h'
+        config_path = os.path.join(output_dir, config_path)
+        # check if targets didn't change to avoid recompiling
+        cache_hash = self.cache_hash(targets, has_baseline)
+        try:
+            with open(config_path) as f:
+                last_hash = f.readline().split("cache_hash:")
+                if len(last_hash) == 2 and int(last_hash[1]) == cache_hash:
+                    return True
+        except OSError:
+            pass
+
+        os.makedirs(os.path.dirname(config_path), exist_ok=True)
+
+        self.dist_log("generate dispatched config -> ", config_path)
+        dispatch_calls = []
+        for tar in targets:
+            if isinstance(tar, str):
+                target_name = tar
+            else: # multi target
+                target_name = '__'.join([t for t in tar])
+            req_detect = self.feature_detect(tar)
+            req_detect = '&&'.join([
+                "CHK(%s)" % f for f in req_detect
+            ])
+            dispatch_calls.append(
+                "\t%sCPU_DISPATCH_EXPAND_(CB((%s), %s, __VA_ARGS__))" % (
+                self.conf_c_prefix_, req_detect, target_name
+            ))
+        dispatch_calls = ' \\\n'.join(dispatch_calls)
+
+        if has_baseline:
+            baseline_calls = (
+                "\t%sCPU_DISPATCH_EXPAND_(CB(__VA_ARGS__))"
+            ) % self.conf_c_prefix_
+        else:
+            baseline_calls = ''
+
+        with open(config_path, "w") as fd:
+            fd.write(textwrap.dedent("""\
+            // cache_hash:{cache_hash}
+            /**
+             * AUTOGENERATED DON'T EDIT
+             * Please make changes to the code generator (distutils/ccompiler_opt.py)
+             */
+            #ifndef {pfx}CPU_DISPATCH_EXPAND_
+                #define {pfx}CPU_DISPATCH_EXPAND_(X) X
+            #endif
+            #undef {pfx}CPU_DISPATCH_BASELINE_CALL
+            #undef {pfx}CPU_DISPATCH_CALL
+            #define {pfx}CPU_DISPATCH_BASELINE_CALL(CB, ...) \\
+            {baseline_calls}
+            #define {pfx}CPU_DISPATCH_CALL(CHK, CB, ...) \\
+            {dispatch_calls}
+            """).format(
+                pfx=self.conf_c_prefix_, baseline_calls=baseline_calls,
+                dispatch_calls=dispatch_calls, cache_hash=cache_hash
+            ))
+        return False
+
+def new_ccompiler_opt(compiler, dispatch_hpath, **kwargs):
+    """
+    Create a new instance of 'CCompilerOpt' and generate the dispatch header
+    which contains the #definitions and headers of platform-specific instruction-sets for
+    the enabled CPU baseline and dispatch-able features.
+
+    Parameters
+    ----------
+    compiler : CCompiler instance
+    dispatch_hpath : str
+        path of the dispatch header
+
+    **kwargs: passed as-is to `CCompilerOpt(...)`
+    Returns
+    -------
+    new instance of CCompilerOpt
+    """
+    opt = CCompilerOpt(compiler, **kwargs)
+    if not os.path.exists(dispatch_hpath) or not opt.is_cached():
+        opt.generate_dispatch_header(dispatch_hpath)
+    return opt
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimd.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimd.c
new file mode 100644
index 0000000000000000000000000000000000000000..6bc9022a58d3cd087d167d354224ded89be91884
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimd.c
@@ -0,0 +1,27 @@
+#ifdef _MSC_VER
+    #include 
+#endif
+#include 
+
+int main(int argc, char **argv)
+{
+    float *src = (float*)argv[argc-1];
+    float32x4_t v1 = vdupq_n_f32(src[0]), v2 = vdupq_n_f32(src[1]);
+    /* MAXMIN */
+    int ret  = (int)vgetq_lane_f32(vmaxnmq_f32(v1, v2), 0);
+        ret += (int)vgetq_lane_f32(vminnmq_f32(v1, v2), 0);
+    /* ROUNDING */
+    ret += (int)vgetq_lane_f32(vrndq_f32(v1), 0);
+#ifdef __aarch64__
+    {
+        double *src2 = (double*)argv[argc-1];
+        float64x2_t vd1 = vdupq_n_f64(src2[0]), vd2 = vdupq_n_f64(src2[1]);
+        /* MAXMIN */
+        ret += (int)vgetq_lane_f64(vmaxnmq_f64(vd1, vd2), 0);
+        ret += (int)vgetq_lane_f64(vminnmq_f64(vd1, vd2), 0);
+        /* ROUNDING */
+        ret += (int)vgetq_lane_f64(vrndq_f64(vd1), 0);
+    }
+#endif
+    return ret;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimddp.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimddp.c
new file mode 100644
index 0000000000000000000000000000000000000000..e7068ce02e19856349873f40d03caff438efb6fe
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimddp.c
@@ -0,0 +1,16 @@
+#ifdef _MSC_VER
+    #include 
+#endif
+#include 
+
+int main(int argc, char **argv)
+{
+    unsigned char *src = (unsigned char*)argv[argc-1];
+    uint8x16_t v1 = vdupq_n_u8(src[0]), v2 = vdupq_n_u8(src[1]);
+    uint32x4_t va = vdupq_n_u32(3);
+    int ret = (int)vgetq_lane_u32(vdotq_u32(va, v1, v2), 0);
+#ifdef __aarch64__
+    ret += (int)vgetq_lane_u32(vdotq_laneq_u32(va, v1, v2, 0), 0);
+#endif
+    return ret;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimdfhm.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimdfhm.c
new file mode 100644
index 0000000000000000000000000000000000000000..54e328098d17b57445024c9859cd4992492c348a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimdfhm.c
@@ -0,0 +1,19 @@
+#ifdef _MSC_VER
+    #include 
+#endif
+#include 
+
+int main(int argc, char **argv)
+{
+    float16_t *src = (float16_t*)argv[argc-1];
+    float *src2 = (float*)argv[argc-2];
+    float16x8_t vhp  = vdupq_n_f16(src[0]);
+    float16x4_t vlhp = vdup_n_f16(src[1]);
+    float32x4_t vf   = vdupq_n_f32(src2[0]);
+    float32x2_t vlf  = vdup_n_f32(src2[1]);
+
+    int ret  = (int)vget_lane_f32(vfmlal_low_f16(vlf, vlhp, vlhp), 0);
+        ret += (int)vgetq_lane_f32(vfmlslq_high_f16(vf, vhp, vhp), 0);
+
+    return ret;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimdhp.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimdhp.c
new file mode 100644
index 0000000000000000000000000000000000000000..e2de0306e0acaeda3b861756e598a132f8e1ca9f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_asimdhp.c
@@ -0,0 +1,15 @@
+#ifdef _MSC_VER
+    #include 
+#endif
+#include 
+
+int main(int argc, char **argv)
+{
+    float16_t *src = (float16_t*)argv[argc-1];
+    float16x8_t vhp  = vdupq_n_f16(src[0]);
+    float16x4_t vlhp = vdup_n_f16(src[1]);
+
+    int ret  =  (int)vgetq_lane_f16(vabdq_f16(vhp, vhp), 0);
+        ret  += (int)vget_lane_f16(vabd_f16(vlhp, vlhp), 0);
+    return ret;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx.c
new file mode 100644
index 0000000000000000000000000000000000000000..26ae18466740b230f9b964ebb4c72c54f13c73ee
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __AVX__
+        #error "HOST/ARCH doesn't support AVX"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m256 a = _mm256_add_ps(_mm256_loadu_ps((const float*)argv[argc-1]), _mm256_loadu_ps((const float*)argv[1]));
+    return (int)_mm_cvtss_f32(_mm256_castps256_ps128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx2.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx2.c
new file mode 100644
index 0000000000000000000000000000000000000000..ddde868f1b586c7b066c2284556b65ec5fef834e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx2.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __AVX2__
+        #error "HOST/ARCH doesn't support AVX2"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m256i a = _mm256_abs_epi16(_mm256_loadu_si256((const __m256i*)argv[argc-1]));
+    return _mm_cvtsi128_si32(_mm256_castsi256_si128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_clx.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_clx.c
new file mode 100644
index 0000000000000000000000000000000000000000..81edcd06700518269420f0cf6192e552581c17d8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_clx.c
@@ -0,0 +1,22 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __AVX512VNNI__
+        #error "HOST/ARCH doesn't support CascadeLake AVX512 features"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    /* VNNI */
+    __m512i a = _mm512_loadu_si512((const __m512i*)argv[argc-1]);
+            a = _mm512_dpbusd_epi32(a, _mm512_setzero_si512(), a);
+    return _mm_cvtsi128_si32(_mm512_castsi512_si128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_cnl.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_cnl.c
new file mode 100644
index 0000000000000000000000000000000000000000..5799f122b511420eb16d066c31dc218bc4fae110
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_cnl.c
@@ -0,0 +1,24 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__AVX512VBMI__) || !defined(__AVX512IFMA__)
+        #error "HOST/ARCH doesn't support CannonLake AVX512 features"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m512i a = _mm512_loadu_si512((const __m512i*)argv[argc-1]);
+    /* IFMA */
+    a = _mm512_madd52hi_epu64(a, a, _mm512_setzero_si512());
+    /* VMBI */
+    a = _mm512_permutex2var_epi8(a, _mm512_setzero_si512(), a);
+    return _mm_cvtsi128_si32(_mm512_castsi512_si128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_icl.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_icl.c
new file mode 100644
index 0000000000000000000000000000000000000000..3cf44d73164b6a80eca5f23f699bd00dba1f623e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_icl.c
@@ -0,0 +1,26 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__AVX512VPOPCNTDQ__) || !defined(__AVX512BITALG__) || !defined(__AVX512VPOPCNTDQ__)
+        #error "HOST/ARCH doesn't support IceLake AVX512 features"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m512i a = _mm512_loadu_si512((const __m512i*)argv[argc-1]);
+    /* VBMI2 */
+    a = _mm512_shrdv_epi64(a, a, _mm512_setzero_si512());
+    /* BITLAG */
+    a = _mm512_popcnt_epi8(a);
+    /* VPOPCNTDQ */
+    a = _mm512_popcnt_epi64(a);
+    return _mm_cvtsi128_si32(_mm512_castsi512_si128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_knl.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_knl.c
new file mode 100644
index 0000000000000000000000000000000000000000..cb55e57aa220ebc8e1b638f7bfb470cff6725ea2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_knl.c
@@ -0,0 +1,25 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__AVX512ER__) || !defined(__AVX512PF__)
+        #error "HOST/ARCH doesn't support Knights Landing AVX512 features"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    int base[128]={};
+    __m512d ad = _mm512_loadu_pd((const __m512d*)argv[argc-1]);
+    /* ER */
+    __m512i a = _mm512_castpd_si512(_mm512_exp2a23_pd(ad));
+    /* PF */
+    _mm512_mask_prefetch_i64scatter_pd(base, _mm512_cmpeq_epi64_mask(a, a), a, 1, _MM_HINT_T1);
+    return base[0];
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_knm.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_knm.c
new file mode 100644
index 0000000000000000000000000000000000000000..2c426462bd34e00f9a0b04e01fb124784c2afb7b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_knm.c
@@ -0,0 +1,30 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__AVX5124FMAPS__) || !defined(__AVX5124VNNIW__) || !defined(__AVX512VPOPCNTDQ__)
+        #error "HOST/ARCH doesn't support Knights Mill AVX512 features"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m512i a = _mm512_loadu_si512((const __m512i*)argv[argc-1]);
+    __m512 b = _mm512_loadu_ps((const __m512*)argv[argc-2]);
+
+    /* 4FMAPS */
+    b = _mm512_4fmadd_ps(b, b, b, b, b, NULL);
+    /* 4VNNIW */
+    a = _mm512_4dpwssd_epi32(a, a, a, a, a, NULL);
+    /* VPOPCNTDQ */
+    a = _mm512_popcnt_epi64(a);
+
+    a = _mm512_add_epi32(a, _mm512_castps_si512(b));
+    return _mm_cvtsi128_si32(_mm512_castsi512_si128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_skx.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_skx.c
new file mode 100644
index 0000000000000000000000000000000000000000..8840efb7e5eefcb762b69bf8d40b79406f6798a5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_skx.c
@@ -0,0 +1,26 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__AVX512VL__) || !defined(__AVX512BW__) || !defined(__AVX512DQ__)
+        #error "HOST/ARCH doesn't support SkyLake AVX512 features"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m512i aa = _mm512_abs_epi32(_mm512_loadu_si512((const __m512i*)argv[argc-1]));
+    /* VL */
+    __m256i a = _mm256_abs_epi64(_mm512_extracti64x4_epi64(aa, 1));
+    /* DQ */
+    __m512i b = _mm512_broadcast_i32x8(a);
+    /* BW */
+    b = _mm512_abs_epi16(b);
+    return _mm_cvtsi128_si32(_mm512_castsi512_si128(b));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_spr.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_spr.c
new file mode 100644
index 0000000000000000000000000000000000000000..9710d0b2fe2f2ac1fc9e19c1c9b4688807efd6d7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512_spr.c
@@ -0,0 +1,26 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__AVX512FP16__)
+        #error "HOST/ARCH doesn't support Sapphire Rapids AVX512FP16 features"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+/* clang has a bug regarding our spr coode, see gh-23730. */
+#if __clang__
+#error
+#endif
+    __m512h a = _mm512_loadu_ph((void*)argv[argc-1]);
+    __m512h temp = _mm512_fmadd_ph(a, a, a);
+    _mm512_storeu_ph((void*)(argv[argc-1]), temp);
+    return 0;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512cd.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512cd.c
new file mode 100644
index 0000000000000000000000000000000000000000..5e29c79e34a73bdfbbcc2571333bfdd28007e07f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512cd.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __AVX512CD__
+        #error "HOST/ARCH doesn't support AVX512CD"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m512i a = _mm512_lzcnt_epi32(_mm512_loadu_si512((const __m512i*)argv[argc-1]));
+    return _mm_cvtsi128_si32(_mm512_castsi512_si128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512f.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512f.c
new file mode 100644
index 0000000000000000000000000000000000000000..d0eb7b1ad5c63995a995c8fe80f59fd8131538d1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_avx512f.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __AVX512F__
+        #error "HOST/ARCH doesn't support AVX512F"
+    #endif
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    __m512i a = _mm512_abs_epi32(_mm512_loadu_si512((const __m512i*)argv[argc-1]));
+    return _mm_cvtsi128_si32(_mm512_castsi512_si128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_f16c.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_f16c.c
new file mode 100644
index 0000000000000000000000000000000000000000..fdf36cec580ce9c24fbb9d2a60fdfcaa824b3f11
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_f16c.c
@@ -0,0 +1,22 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __F16C__
+        #error "HOST/ARCH doesn't support F16C"
+    #endif
+#endif
+
+#include 
+#include 
+
+int main(int argc, char **argv)
+{
+    __m128 a  = _mm_cvtph_ps(_mm_loadu_si128((const __m128i*)argv[argc-1]));
+    __m256 a8 = _mm256_cvtph_ps(_mm_loadu_si128((const __m128i*)argv[argc-2]));
+    return (int)(_mm_cvtss_f32(a) + _mm_cvtss_f32(_mm256_castps256_ps128(a8)));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_fma3.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_fma3.c
new file mode 100644
index 0000000000000000000000000000000000000000..bfeef22b5f0e86becd6b9f7a8b5b0f4bdea73202
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_fma3.c
@@ -0,0 +1,22 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__FMA__) && !defined(__AVX2__)
+        #error "HOST/ARCH doesn't support FMA3"
+    #endif
+#endif
+
+#include 
+#include 
+
+int main(int argc, char **argv)
+{
+    __m256 a = _mm256_loadu_ps((const float*)argv[argc-1]);
+           a = _mm256_fmadd_ps(a, a, a);
+    return (int)_mm_cvtss_f32(_mm256_castps256_ps128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_fma4.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_fma4.c
new file mode 100644
index 0000000000000000000000000000000000000000..0ff17a483385bec07f9aef023b16fc331e66fb6f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_fma4.c
@@ -0,0 +1,13 @@
+#include 
+#ifdef _MSC_VER
+    #include 
+#else
+    #include 
+#endif
+
+int main(int argc, char **argv)
+{
+    __m256 a = _mm256_loadu_ps((const float*)argv[argc-1]);
+           a = _mm256_macc_ps(a, a, a);
+    return (int)_mm_cvtss_f32(_mm256_castps256_ps128(a));
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon.c
new file mode 100644
index 0000000000000000000000000000000000000000..8c64f864dea63cb9c4ee60249e52b1ad528751c7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon.c
@@ -0,0 +1,19 @@
+#ifdef _MSC_VER
+    #include 
+#endif
+#include 
+
+int main(int argc, char **argv)
+{
+    // passing from untraced pointers to avoid optimizing out any constants
+    // so we can test against the linker.
+    float *src = (float*)argv[argc-1];
+    float32x4_t v1 = vdupq_n_f32(src[0]), v2 = vdupq_n_f32(src[1]);
+    int ret = (int)vgetq_lane_f32(vmulq_f32(v1, v2), 0);
+#ifdef __aarch64__
+    double *src2 = (double*)argv[argc-2];
+    float64x2_t vd1 = vdupq_n_f64(src2[0]), vd2 = vdupq_n_f64(src2[1]);
+    ret += (int)vgetq_lane_f64(vmulq_f64(vd1, vd2), 0);
+#endif
+    return ret;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon_fp16.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon_fp16.c
new file mode 100644
index 0000000000000000000000000000000000000000..f3b949770db66a03a6221a230e75e87f67359759
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon_fp16.c
@@ -0,0 +1,11 @@
+#ifdef _MSC_VER
+    #include 
+#endif
+#include 
+
+int main(int argc, char **argv)
+{
+    short *src = (short*)argv[argc-1];
+    float32x4_t v_z4 = vcvt_f32_f16((float16x4_t)vld1_s16(src));
+    return (int)vgetq_lane_f32(v_z4, 0);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon_vfpv4.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon_vfpv4.c
new file mode 100644
index 0000000000000000000000000000000000000000..a039159ddeed006d62f07250a3a1dbb5abfcb6ac
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_neon_vfpv4.c
@@ -0,0 +1,21 @@
+#ifdef _MSC_VER
+    #include 
+#endif
+#include 
+
+int main(int argc, char **argv)
+{
+    float *src = (float*)argv[argc-1];
+    float32x4_t v1 = vdupq_n_f32(src[0]);
+    float32x4_t v2 = vdupq_n_f32(src[1]);
+    float32x4_t v3 = vdupq_n_f32(src[2]);
+    int ret = (int)vgetq_lane_f32(vfmaq_f32(v1, v2, v3), 0);
+#ifdef __aarch64__
+    double *src2 = (double*)argv[argc-2];
+    float64x2_t vd1 = vdupq_n_f64(src2[0]);
+    float64x2_t vd2 = vdupq_n_f64(src2[1]);
+    float64x2_t vd3 = vdupq_n_f64(src2[2]);
+    ret += (int)vgetq_lane_f64(vfmaq_f64(vd1, vd2, vd3), 0);
+#endif
+    return ret;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_popcnt.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_popcnt.c
new file mode 100644
index 0000000000000000000000000000000000000000..813c461f05b36b52c855f31d621a23ab7ee0c642
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_popcnt.c
@@ -0,0 +1,32 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env vr `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #if !defined(__SSE4_2__) && !defined(__POPCNT__)
+        #error "HOST/ARCH doesn't support POPCNT"
+    #endif
+#endif
+
+#ifdef _MSC_VER
+    #include 
+#else
+    #include 
+#endif
+
+int main(int argc, char **argv)
+{
+    // To make sure popcnt instructions are generated
+    // and been tested against the assembler
+    unsigned long long a = *((unsigned long long*)argv[argc-1]);
+    unsigned int b = *((unsigned int*)argv[argc-2]);
+
+#if defined(_M_X64) || defined(__x86_64__)
+    a = _mm_popcnt_u64(a);
+#endif
+    b = _mm_popcnt_u32(b);
+    return (int)a + b;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_rvv.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_rvv.c
new file mode 100644
index 0000000000000000000000000000000000000000..45545d88dcd1f996308c266635a81ab1ad062901
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_rvv.c
@@ -0,0 +1,13 @@
+#ifndef __riscv_vector
+  #error RVV not supported
+#endif
+
+#include 
+
+int main(void)
+{
+    size_t vlmax = __riscv_vsetvlmax_e32m1();
+    vuint32m1_t a = __riscv_vmv_v_x_u32m1(0, vlmax);
+    vuint32m1_t b = __riscv_vadd_vv_u32m1(a, a, vlmax);
+    return __riscv_vmv_x_s_u32m1_u32(b);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse.c
new file mode 100644
index 0000000000000000000000000000000000000000..602b74e7bc437ee4fdfbc375280f423700caa49e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __SSE__
+        #error "HOST/ARCH doesn't support SSE"
+    #endif
+#endif
+
+#include 
+
+int main(void)
+{
+    __m128 a = _mm_add_ps(_mm_setzero_ps(), _mm_setzero_ps());
+    return (int)_mm_cvtss_f32(a);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse2.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse2.c
new file mode 100644
index 0000000000000000000000000000000000000000..33826a9ed1a53ef27e9c686d870d31d4b12f1736
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse2.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __SSE2__
+        #error "HOST/ARCH doesn't support SSE2"
+    #endif
+#endif
+
+#include 
+
+int main(void)
+{
+    __m128i a = _mm_add_epi16(_mm_setzero_si128(), _mm_setzero_si128());
+    return _mm_cvtsi128_si32(a);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse3.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse3.c
new file mode 100644
index 0000000000000000000000000000000000000000..d47c20f74be1f83afd1962917438507c609e5413
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse3.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __SSE3__
+        #error "HOST/ARCH doesn't support SSE3"
+    #endif
+#endif
+
+#include 
+
+int main(void)
+{
+    __m128 a = _mm_hadd_ps(_mm_setzero_ps(), _mm_setzero_ps());
+    return (int)_mm_cvtss_f32(a);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse41.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse41.c
new file mode 100644
index 0000000000000000000000000000000000000000..7c80238a3bc1809cdec133c057b1bf0ff46ce64e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse41.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __SSE4_1__
+        #error "HOST/ARCH doesn't support SSE41"
+    #endif
+#endif
+
+#include 
+
+int main(void)
+{
+    __m128 a = _mm_floor_ps(_mm_setzero_ps());
+    return (int)_mm_cvtss_f32(a);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse42.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse42.c
new file mode 100644
index 0000000000000000000000000000000000000000..f60e18f3c4f13d58bc9e8ac84752612b5ad11830
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sse42.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __SSE4_2__
+        #error "HOST/ARCH doesn't support SSE42"
+    #endif
+#endif
+
+#include 
+
+int main(void)
+{
+    __m128 a = _mm_hadd_ps(_mm_setzero_ps(), _mm_setzero_ps());
+    return (int)_mm_cvtss_f32(a);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_ssse3.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_ssse3.c
new file mode 100644
index 0000000000000000000000000000000000000000..fde390d6a37d3e2c929b7a6841efa42e618742e5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_ssse3.c
@@ -0,0 +1,20 @@
+#if defined(DETECT_FEATURES) && defined(__INTEL_COMPILER)
+    /*
+     * Unlike GCC and CLANG, Intel Compiler exposes all supported intrinsics,
+     * whether or not the build options for those features are specified.
+     * Therefore, we must test #definitions of CPU features when option native/host
+     * is enabled via `--cpu-baseline` or through env var `CFLAGS` otherwise
+     * the test will be broken and leads to enable all possible features.
+     */
+    #ifndef __SSSE3__
+        #error "HOST/ARCH doesn't support SSSE3"
+    #endif
+#endif
+
+#include 
+
+int main(void)
+{
+    __m128i a = _mm_hadd_epi16(_mm_setzero_si128(), _mm_setzero_si128());
+    return (int)_mm_cvtsi128_si32(a);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sve.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sve.c
new file mode 100644
index 0000000000000000000000000000000000000000..b113b8193d289386f08c904e5e095922f2070b34
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_sve.c
@@ -0,0 +1,14 @@
+#include 
+
+int accumulate(svint64_t a, svint64_t b) {
+    svbool_t p = svptrue_b64();
+    return svaddv(p, svmla_z(p, a, a, b));
+}
+
+int main(void)
+{
+    svbool_t p = svptrue_b64();
+    svint64_t a = svdup_s64(1);
+    svint64_t b = svdup_s64(2);
+    return accumulate(a, b);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx.c
new file mode 100644
index 0000000000000000000000000000000000000000..0b3f30d6a1f43ff32d5c6545560ef3aa41c828fb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx.c
@@ -0,0 +1,21 @@
+#ifndef __VSX__
+    #error "VSX is not supported"
+#endif
+#include 
+
+#if (defined(__GNUC__) && !defined(vec_xl)) || (defined(__clang__) && !defined(__IBMC__))
+    #define vsx_ld  vec_vsx_ld
+    #define vsx_st  vec_vsx_st
+#else
+    #define vsx_ld  vec_xl
+    #define vsx_st  vec_xst
+#endif
+
+int main(void)
+{
+    unsigned int zout[4];
+    unsigned int z4[] = {0, 0, 0, 0};
+    __vector unsigned int v_z4 = vsx_ld(0, z4);
+    vsx_st(v_z4, 0, zout);
+    return zout[0];
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx2.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx2.c
new file mode 100644
index 0000000000000000000000000000000000000000..410fb29d6db5abab4c6b2a99308f99cce07c10b2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx2.c
@@ -0,0 +1,13 @@
+#ifndef __VSX__
+    #error "VSX is not supported"
+#endif
+#include 
+
+typedef __vector unsigned long long v_uint64x2;
+
+int main(void)
+{
+    v_uint64x2 z2 = (v_uint64x2){0, 0};
+    z2 = (v_uint64x2)vec_cmpeq(z2, z2);
+    return (int)vec_extract(z2, 0);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx3.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx3.c
new file mode 100644
index 0000000000000000000000000000000000000000..857526535aa8ff728d8ccd055d766bf4581c6eed
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx3.c
@@ -0,0 +1,13 @@
+#ifndef __VSX__
+    #error "VSX is not supported"
+#endif
+#include 
+
+typedef __vector unsigned int v_uint32x4;
+
+int main(void)
+{
+    v_uint32x4 z4 = (v_uint32x4){0, 0, 0, 0};
+    z4 = vec_absd(z4, z4);
+    return (int)vec_extract(z4, 0);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx4.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx4.c
new file mode 100644
index 0000000000000000000000000000000000000000..a6acc7384dd95f7ef51d17c85492342dde353d0d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vsx4.c
@@ -0,0 +1,14 @@
+#ifndef __VSX__
+    #error "VSX is not supported"
+#endif
+#include 
+
+typedef __vector unsigned int v_uint32x4;
+
+int main(void)
+{
+    v_uint32x4 v1 = (v_uint32x4){2, 4, 8, 16};
+    v_uint32x4 v2 = (v_uint32x4){2, 2, 2, 2};
+    v_uint32x4 v3 = vec_mod(v1, v2);
+    return (int)vec_extractm(v3);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vx.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vx.c
new file mode 100644
index 0000000000000000000000000000000000000000..18fb7ef94a248d0de890bafa9cae67a5559e47f9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vx.c
@@ -0,0 +1,16 @@
+#if (__VEC__ < 10301) || (__ARCH__ < 11)
+    #error VX not supported
+#endif
+
+#include 
+int main(int argc, char **argv)
+{
+    __vector double x = vec_abs(vec_xl(argc, (double*)argv));
+    __vector double y = vec_load_len((double*)argv, (unsigned int)argc);
+
+    x = vec_round(vec_ceil(x) + vec_floor(y));
+    __vector bool long long m = vec_cmpge(x, y);
+    __vector long long i = vec_signed(vec_sel(x, y, m));
+
+    return (int)vec_extract(i, 0);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vxe.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vxe.c
new file mode 100644
index 0000000000000000000000000000000000000000..e6933adce3d014d159e93d05166e5b67a0104efe
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vxe.c
@@ -0,0 +1,25 @@
+#if (__VEC__ < 10302) || (__ARCH__ < 12)
+    #error VXE not supported
+#endif
+
+#include 
+int main(int argc, char **argv)
+{
+    __vector float x = vec_nabs(vec_xl(argc, (float*)argv));
+    __vector float y = vec_load_len((float*)argv, (unsigned int)argc);
+    
+    x = vec_round(vec_ceil(x) + vec_floor(y));
+    __vector bool int m = vec_cmpge(x, y);
+    x = vec_sel(x, y, m);
+
+    // need to test the existence of intrin "vflls" since vec_doublee
+    // is vec_doublee maps to wrong intrin "vfll".
+    // see https://gcc.gnu.org/bugzilla/show_bug.cgi?id=100871
+#if defined(__GNUC__) && !defined(__clang__)
+    __vector long long i = vec_signed(__builtin_s390_vflls(x));
+#else
+    __vector long long i = vec_signed(vec_doublee(x));
+#endif
+
+    return (int)vec_extract(i, 0);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vxe2.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vxe2.c
new file mode 100644
index 0000000000000000000000000000000000000000..f36d57129af67f111fa9dccca55f76dc52e6001d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_vxe2.c
@@ -0,0 +1,21 @@
+#if (__VEC__ < 10303) || (__ARCH__ < 13)
+    #error VXE2 not supported
+#endif
+
+#include 
+
+int main(int argc, char **argv)
+{
+    int val;
+    __vector signed short large = { 'a', 'b', 'c', 'a', 'g', 'h', 'g', 'o' };
+    __vector signed short search = { 'g', 'h', 'g', 'o' };
+    __vector unsigned char len = { 0 };
+    __vector unsigned char res = vec_search_string_cc(large, search, len, &val);
+    __vector float x = vec_xl(argc, (float*)argv);
+    __vector int i = vec_signed(x);
+
+    i = vec_srdb(vec_sldb(i, i, 2), i, 3);
+    val += (int)vec_extract(res, 1);
+    val += vec_extract(i, 0);
+    return val;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_xop.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_xop.c
new file mode 100644
index 0000000000000000000000000000000000000000..51d70cf2b6d85eae5be6bd08625dbff865530f84
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/cpu_xop.c
@@ -0,0 +1,12 @@
+#include 
+#ifdef _MSC_VER
+    #include 
+#else
+    #include 
+#endif
+
+int main(void)
+{
+    __m128i a = _mm_comge_epu32(_mm_setzero_si128(), _mm_setzero_si128());
+    return _mm_cvtsi128_si32(a);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512bw_mask.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512bw_mask.c
new file mode 100644
index 0000000000000000000000000000000000000000..9cfd0c2a57f355cea353abd24d21343543017191
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512bw_mask.c
@@ -0,0 +1,18 @@
+#include 
+/**
+ * Test BW mask operations due to:
+ *  - MSVC has supported it since vs2019 see,
+ *    https://developercommunity.visualstudio.com/content/problem/518298/missing-avx512bw-mask-intrinsics.html
+ *  - Clang >= v8.0
+ *  - GCC >= v7.1
+ */
+int main(void)
+{
+    __mmask64 m64 = _mm512_cmpeq_epi8_mask(_mm512_set1_epi8((char)1), _mm512_set1_epi8((char)1));
+    m64 = _kor_mask64(m64, m64);
+    m64 = _kxor_mask64(m64, m64);
+    m64 = _cvtu64_mask64(_cvtmask64_u64(m64));
+    m64 = _mm512_kunpackd(m64, m64);
+    m64 = (__mmask64)_mm512_kunpackw((__mmask32)m64, (__mmask32)m64);
+    return (int)_cvtmask64_u64(m64);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512dq_mask.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512dq_mask.c
new file mode 100644
index 0000000000000000000000000000000000000000..f0dc88bdd3724189dcc7cb91402db6067f8330be
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512dq_mask.c
@@ -0,0 +1,16 @@
+#include 
+/**
+ * Test DQ mask operations due to:
+ *  - MSVC has supported it since vs2019 see,
+ *    https://developercommunity.visualstudio.com/content/problem/518298/missing-avx512bw-mask-intrinsics.html
+ *  - Clang >= v8.0
+ *  - GCC >= v7.1
+ */
+int main(void)
+{
+    __mmask8 m8 = _mm512_cmpeq_epi64_mask(_mm512_set1_epi64(1), _mm512_set1_epi64(1));
+    m8 = _kor_mask8(m8, m8);
+    m8 = _kxor_mask8(m8, m8);
+    m8 = _cvtu32_mask8(_cvtmask8_u32(m8));
+    return (int)_cvtmask8_u32(m8);
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512f_reduce.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512f_reduce.c
new file mode 100644
index 0000000000000000000000000000000000000000..db01aaeef40570139d5df0f2f2a9e91e26f97f74
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_avx512f_reduce.c
@@ -0,0 +1,41 @@
+#include 
+/**
+ * The following intrinsics don't have direct native support but compilers
+ * tend to emulate them.
+ * They're usually supported by gcc >= 7.1, clang >= 4 and icc >= 19
+ */
+int main(void)
+{
+    __m512  one_ps = _mm512_set1_ps(1.0f);
+    __m512d one_pd = _mm512_set1_pd(1.0);
+    __m512i one_i64 = _mm512_set1_epi64(1);
+    // add
+    float sum_ps  = _mm512_reduce_add_ps(one_ps);
+    double sum_pd = _mm512_reduce_add_pd(one_pd);
+    int sum_int   = (int)_mm512_reduce_add_epi64(one_i64);
+        sum_int  += (int)_mm512_reduce_add_epi32(one_i64);
+    // mul
+    sum_ps  += _mm512_reduce_mul_ps(one_ps);
+    sum_pd  += _mm512_reduce_mul_pd(one_pd);
+    sum_int += (int)_mm512_reduce_mul_epi64(one_i64);
+    sum_int += (int)_mm512_reduce_mul_epi32(one_i64);
+    // min
+    sum_ps  += _mm512_reduce_min_ps(one_ps);
+    sum_pd  += _mm512_reduce_min_pd(one_pd);
+    sum_int += (int)_mm512_reduce_min_epi32(one_i64);
+    sum_int += (int)_mm512_reduce_min_epu32(one_i64);
+    sum_int += (int)_mm512_reduce_min_epi64(one_i64);
+    // max
+    sum_ps  += _mm512_reduce_max_ps(one_ps);
+    sum_pd  += _mm512_reduce_max_pd(one_pd);
+    sum_int += (int)_mm512_reduce_max_epi32(one_i64);
+    sum_int += (int)_mm512_reduce_max_epu32(one_i64);
+    sum_int += (int)_mm512_reduce_max_epi64(one_i64);
+    // and
+    sum_int += (int)_mm512_reduce_and_epi32(one_i64);
+    sum_int += (int)_mm512_reduce_and_epi64(one_i64);
+    // or
+    sum_int += (int)_mm512_reduce_or_epi32(one_i64);
+    sum_int += (int)_mm512_reduce_or_epi64(one_i64);
+    return (int)sum_ps + (int)sum_pd + sum_int;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx3_half_double.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx3_half_double.c
new file mode 100644
index 0000000000000000000000000000000000000000..514a2b18f96cb089bb3c96f6420356c892adefdf
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx3_half_double.c
@@ -0,0 +1,12 @@
+/**
+ * Assembler may not fully support the following VSX3 scalar
+ * instructions, even though compilers report VSX3 support.
+ */
+int main(void)
+{
+    unsigned short bits = 0xFF;
+    double f;
+    __asm__ __volatile__("xscvhpdp %x0,%x1" : "=wa"(f) : "wa"(bits));
+    __asm__ __volatile__ ("xscvdphp %x0,%x1" : "=wa" (bits) : "wa" (f));
+    return bits;
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx4_mma.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx4_mma.c
new file mode 100644
index 0000000000000000000000000000000000000000..a70b2a9f6f95408eb7cfe59c056f114cc363869b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx4_mma.c
@@ -0,0 +1,21 @@
+#ifndef __VSX__
+    #error "VSX is not supported"
+#endif
+#include 
+
+typedef __vector float fv4sf_t;
+typedef __vector unsigned char vec_t;
+
+int main(void)
+{
+    __vector_quad acc0;
+    float a[4] = {0,1,2,3};
+    float b[4] = {0,1,2,3};
+    vec_t *va = (vec_t *) a;
+    vec_t *vb = (vec_t *) b;
+    __builtin_mma_xvf32ger(&acc0, va[0], vb[0]);
+    fv4sf_t result[4];
+    __builtin_mma_disassemble_acc((void *)result, &acc0);
+    fv4sf_t c0 = result[0];
+    return (int)((float*)&c0)[0];
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx_asm.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx_asm.c
new file mode 100644
index 0000000000000000000000000000000000000000..b73a6f43808eeb5af2bd212ee88b6c1002a29901
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/extra_vsx_asm.c
@@ -0,0 +1,36 @@
+/**
+ * Testing ASM VSX register number fixer '%x'
+ *
+ * old versions of CLANG doesn't support %x in the inline asm template
+ * which fixes register number when using any of the register constraints wa, wd, wf.
+ *
+ * xref:
+ * - https://bugs.llvm.org/show_bug.cgi?id=31837
+ * - https://gcc.gnu.org/onlinedocs/gcc/Machine-Constraints.html
+ */
+#ifndef __VSX__
+    #error "VSX is not supported"
+#endif
+#include 
+
+#if (defined(__GNUC__) && !defined(vec_xl)) || (defined(__clang__) && !defined(__IBMC__))
+    #define vsx_ld  vec_vsx_ld
+    #define vsx_st  vec_vsx_st
+#else
+    #define vsx_ld  vec_xl
+    #define vsx_st  vec_xst
+#endif
+
+int main(void)
+{
+    float z4[] = {0, 0, 0, 0};
+    signed int zout[] = {0, 0, 0, 0};
+
+    __vector float vz4 = vsx_ld(0, z4);
+    __vector signed int asm_ret = vsx_ld(0, zout);
+
+    __asm__ ("xvcvspsxws %x0,%x1" : "=wa" (vz4) : "wa" (asm_ret));
+
+    vsx_st(asm_ret, 0, zout);
+    return zout[0];
+}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/test_flags.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/test_flags.c
new file mode 100644
index 0000000000000000000000000000000000000000..4cd09d42a6503780087632aae9ea5b458671fa57
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/checks/test_flags.c
@@ -0,0 +1 @@
+int test_flags;
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..3ba501de03b6d17da62f03b7cf66f07232679533
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/__init__.py
@@ -0,0 +1,41 @@
+"""distutils.command
+
+Package containing implementation of all the standard Distutils
+commands.
+
+"""
+def test_na_writable_attributes_deletion():
+    a = np.NA(2)
+    attr =  ['payload', 'dtype']
+    for s in attr:
+        assert_raises(AttributeError, delattr, a, s)
+
+
+__revision__ = "$Id: __init__.py,v 1.3 2005/05/16 11:08:49 pearu Exp $"
+
+distutils_all = [  #'build_py',
+                   'clean',
+                   'install_clib',
+                   'install_scripts',
+                   'bdist',
+                   'bdist_dumb',
+                   'bdist_wininst',
+                ]
+
+__import__('distutils.command', globals(), locals(), distutils_all)
+
+__all__ = ['build',
+           'config_compiler',
+           'config',
+           'build_src',
+           'build_py',
+           'build_ext',
+           'build_clib',
+           'build_scripts',
+           'install',
+           'install_data',
+           'install_headers',
+           'install_lib',
+           'bdist_rpm',
+           'sdist',
+          ] + distutils_all
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/autodist.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/autodist.py
new file mode 100644
index 0000000000000000000000000000000000000000..b72d0cab1a7da140c504a254a30a772f89be9f8d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/autodist.py
@@ -0,0 +1,148 @@
+"""This module implements additional tests ala autoconf which can be useful.
+
+"""
+import textwrap
+
+# We put them here since they could be easily reused outside numpy.distutils
+
+def check_inline(cmd):
+    """Return the inline identifier (may be empty)."""
+    cmd._check_compiler()
+    body = textwrap.dedent("""
+        #ifndef __cplusplus
+        static %(inline)s int static_func (void)
+        {
+            return 0;
+        }
+        %(inline)s int nostatic_func (void)
+        {
+            return 0;
+        }
+        #endif""")
+
+    for kw in ['inline', '__inline__', '__inline']:
+        st = cmd.try_compile(body % {'inline': kw}, None, None)
+        if st:
+            return kw
+
+    return ''
+
+
+def check_restrict(cmd):
+    """Return the restrict identifier (may be empty)."""
+    cmd._check_compiler()
+    body = textwrap.dedent("""
+        static int static_func (char * %(restrict)s a)
+        {
+            return 0;
+        }
+        """)
+
+    for kw in ['restrict', '__restrict__', '__restrict']:
+        st = cmd.try_compile(body % {'restrict': kw}, None, None)
+        if st:
+            return kw
+
+    return ''
+
+
+def check_compiler_gcc(cmd):
+    """Check if the compiler is GCC."""
+
+    cmd._check_compiler()
+    body = textwrap.dedent("""
+        int
+        main()
+        {
+        #if (! defined __GNUC__)
+        #error gcc required
+        #endif
+            return 0;
+        }
+        """)
+    return cmd.try_compile(body, None, None)
+
+
+def check_gcc_version_at_least(cmd, major, minor=0, patchlevel=0):
+    """
+    Check that the gcc version is at least the specified version."""
+
+    cmd._check_compiler()
+    version = '.'.join([str(major), str(minor), str(patchlevel)])
+    body = textwrap.dedent("""
+        int
+        main()
+        {
+        #if (! defined __GNUC__) || (__GNUC__ < %(major)d) || \\
+                (__GNUC_MINOR__ < %(minor)d) || \\
+                (__GNUC_PATCHLEVEL__ < %(patchlevel)d)
+        #error gcc >= %(version)s required
+        #endif
+            return 0;
+        }
+        """)
+    kw = {'version': version, 'major': major, 'minor': minor,
+          'patchlevel': patchlevel}
+
+    return cmd.try_compile(body % kw, None, None)
+
+
+def check_gcc_function_attribute(cmd, attribute, name):
+    """Return True if the given function attribute is supported."""
+    cmd._check_compiler()
+    body = textwrap.dedent("""
+        #pragma GCC diagnostic error "-Wattributes"
+        #pragma clang diagnostic error "-Wattributes"
+
+        int %s %s(void* unused)
+        {
+            return 0;
+        }
+
+        int
+        main()
+        {
+            return 0;
+        }
+        """) % (attribute, name)
+    return cmd.try_compile(body, None, None) != 0
+
+
+def check_gcc_function_attribute_with_intrinsics(cmd, attribute, name, code,
+                                                include):
+    """Return True if the given function attribute is supported with
+    intrinsics."""
+    cmd._check_compiler()
+    body = textwrap.dedent("""
+        #include<%s>
+        int %s %s(void)
+        {
+            %s;
+            return 0;
+        }
+
+        int
+        main()
+        {
+            return 0;
+        }
+        """) % (include, attribute, name, code)
+    return cmd.try_compile(body, None, None) != 0
+
+
+def check_gcc_variable_attribute(cmd, attribute):
+    """Return True if the given variable attribute is supported."""
+    cmd._check_compiler()
+    body = textwrap.dedent("""
+        #pragma GCC diagnostic error "-Wattributes"
+        #pragma clang diagnostic error "-Wattributes"
+
+        int %s foo;
+
+        int
+        main()
+        {
+            return 0;
+        }
+        """) % (attribute, )
+    return cmd.try_compile(body, None, None) != 0
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/bdist_rpm.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/bdist_rpm.py
new file mode 100644
index 0000000000000000000000000000000000000000..682e7a8eb8e2b8cdd922fe77ed13992c5a7a1252
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/bdist_rpm.py
@@ -0,0 +1,22 @@
+import os
+import sys
+if 'setuptools' in sys.modules:
+    from setuptools.command.bdist_rpm import bdist_rpm as old_bdist_rpm
+else:
+    from distutils.command.bdist_rpm import bdist_rpm as old_bdist_rpm
+
+class bdist_rpm(old_bdist_rpm):
+
+    def _make_spec_file(self):
+        spec_file = old_bdist_rpm._make_spec_file(self)
+
+        # Replace hardcoded setup.py script name
+        # with the real setup script name.
+        setup_py = os.path.basename(sys.argv[0])
+        if setup_py == 'setup.py':
+            return spec_file
+        new_spec_file = []
+        for line in spec_file:
+            line = line.replace('setup.py', setup_py)
+            new_spec_file.append(line)
+        return new_spec_file
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build.py
new file mode 100644
index 0000000000000000000000000000000000000000..80830d559c61dde4b46dacc7d24e387486476349
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build.py
@@ -0,0 +1,62 @@
+import os
+import sys
+from distutils.command.build import build as old_build
+from distutils.util import get_platform
+from numpy.distutils.command.config_compiler import show_fortran_compilers
+
+class build(old_build):
+
+    sub_commands = [('config_cc',     lambda *args: True),
+                    ('config_fc',     lambda *args: True),
+                    ('build_src',     old_build.has_ext_modules),
+                    ] + old_build.sub_commands
+
+    user_options = old_build.user_options + [
+        ('fcompiler=', None,
+         "specify the Fortran compiler type"),
+        ('warn-error', None,
+         "turn all warnings into errors (-Werror)"),
+        ('cpu-baseline=', None,
+         "specify a list of enabled baseline CPU optimizations"),
+        ('cpu-dispatch=', None,
+         "specify a list of dispatched CPU optimizations"),
+        ('disable-optimization', None,
+         "disable CPU optimized code(dispatch,simd,fast...)"),
+        ('simd-test=', None,
+         "specify a list of CPU optimizations to be tested against NumPy SIMD interface"),
+        ]
+
+    help_options = old_build.help_options + [
+        ('help-fcompiler', None, "list available Fortran compilers",
+         show_fortran_compilers),
+        ]
+
+    def initialize_options(self):
+        old_build.initialize_options(self)
+        self.fcompiler = None
+        self.warn_error = False
+        self.cpu_baseline = "min"
+        self.cpu_dispatch = "max -xop -fma4" # drop AMD legacy features by default
+        self.disable_optimization = False
+        """
+        the '_simd' module is a very large. Adding more dispatched features
+        will increase binary size and compile time. By default we minimize
+        the targeted features to those most commonly used by the NumPy SIMD interface(NPYV),
+        NOTE: any specified features will be ignored if they're:
+            - part of the baseline(--cpu-baseline)
+            - not part of dispatch-able features(--cpu-dispatch)
+            - not supported by compiler or platform
+        """
+        self.simd_test = "BASELINE SSE2 SSE42 XOP FMA4 (FMA3 AVX2) AVX512F " \
+                         "AVX512_SKX VSX VSX2 VSX3 VSX4 NEON ASIMD VX VXE VXE2"
+
+    def finalize_options(self):
+        build_scripts = self.build_scripts
+        old_build.finalize_options(self)
+        plat_specifier = ".{}-{}.{}".format(get_platform(), *sys.version_info[:2])
+        if build_scripts is None:
+            self.build_scripts = os.path.join(self.build_base,
+                                              'scripts' + plat_specifier)
+
+    def run(self):
+        old_build.run(self)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_clib.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_clib.py
new file mode 100644
index 0000000000000000000000000000000000000000..6cd2f3e7eecaf3b8518ba40973aab4da326fb669
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_clib.py
@@ -0,0 +1,469 @@
+""" Modified version of build_clib that handles fortran source files.
+"""
+import os
+from glob import glob
+import shutil
+from distutils.command.build_clib import build_clib as old_build_clib
+from distutils.errors import DistutilsSetupError, DistutilsError, \
+    DistutilsFileError
+
+from numpy.distutils import log
+from distutils.dep_util import newer_group
+from numpy.distutils.misc_util import (
+    filter_sources, get_lib_source_files, get_numpy_include_dirs,
+    has_cxx_sources, has_f_sources, is_sequence
+)
+from numpy.distutils.ccompiler_opt import new_ccompiler_opt
+
+# Fix Python distutils bug sf #1718574:
+_l = old_build_clib.user_options
+for _i in range(len(_l)):
+    if _l[_i][0] in ['build-clib', 'build-temp']:
+        _l[_i] = (_l[_i][0] + '=',) + _l[_i][1:]
+#
+
+
+class build_clib(old_build_clib):
+
+    description = "build C/C++/F libraries used by Python extensions"
+
+    user_options = old_build_clib.user_options + [
+        ('fcompiler=', None,
+         "specify the Fortran compiler type"),
+        ('inplace', 'i', 'Build in-place'),
+        ('parallel=', 'j',
+         "number of parallel jobs"),
+        ('warn-error', None,
+         "turn all warnings into errors (-Werror)"),
+        ('cpu-baseline=', None,
+         "specify a list of enabled baseline CPU optimizations"),
+        ('cpu-dispatch=', None,
+         "specify a list of dispatched CPU optimizations"),
+        ('disable-optimization', None,
+         "disable CPU optimized code(dispatch,simd,fast...)"),
+    ]
+
+    boolean_options = old_build_clib.boolean_options + \
+    ['inplace', 'warn-error', 'disable-optimization']
+
+    def initialize_options(self):
+        old_build_clib.initialize_options(self)
+        self.fcompiler = None
+        self.inplace = 0
+        self.parallel = None
+        self.warn_error = None
+        self.cpu_baseline = None
+        self.cpu_dispatch = None
+        self.disable_optimization = None
+
+
+    def finalize_options(self):
+        if self.parallel:
+            try:
+                self.parallel = int(self.parallel)
+            except ValueError as e:
+                raise ValueError("--parallel/-j argument must be an integer") from e
+        old_build_clib.finalize_options(self)
+        self.set_undefined_options('build',
+                                        ('parallel', 'parallel'),
+                                        ('warn_error', 'warn_error'),
+                                        ('cpu_baseline', 'cpu_baseline'),
+                                        ('cpu_dispatch', 'cpu_dispatch'),
+                                        ('disable_optimization', 'disable_optimization')
+                                  )
+
+    def have_f_sources(self):
+        for (lib_name, build_info) in self.libraries:
+            if has_f_sources(build_info.get('sources', [])):
+                return True
+        return False
+
+    def have_cxx_sources(self):
+        for (lib_name, build_info) in self.libraries:
+            if has_cxx_sources(build_info.get('sources', [])):
+                return True
+        return False
+
+    def run(self):
+        if not self.libraries:
+            return
+
+        # Make sure that library sources are complete.
+        languages = []
+
+        # Make sure that extension sources are complete.
+        self.run_command('build_src')
+
+        for (lib_name, build_info) in self.libraries:
+            l = build_info.get('language', None)
+            if l and l not in languages:
+                languages.append(l)
+
+        from distutils.ccompiler import new_compiler
+        self.compiler = new_compiler(compiler=self.compiler,
+                                     dry_run=self.dry_run,
+                                     force=self.force)
+        self.compiler.customize(self.distribution,
+                                need_cxx=self.have_cxx_sources())
+
+        if self.warn_error:
+            self.compiler.compiler.append('-Werror')
+            self.compiler.compiler_so.append('-Werror')
+
+        libraries = self.libraries
+        self.libraries = None
+        self.compiler.customize_cmd(self)
+        self.libraries = libraries
+
+        self.compiler.show_customization()
+
+        if not self.disable_optimization:
+            dispatch_hpath = os.path.join("numpy", "distutils", "include", "npy_cpu_dispatch_config.h")
+            dispatch_hpath = os.path.join(self.get_finalized_command("build_src").build_src, dispatch_hpath)
+            opt_cache_path = os.path.abspath(
+                os.path.join(self.build_temp, 'ccompiler_opt_cache_clib.py')
+            )
+            if hasattr(self, "compiler_opt"):
+                # By default `CCompilerOpt` update the cache at the exit of
+                # the process, which may lead to duplicate building
+                # (see build_extension()/force_rebuild) if run() called
+                # multiple times within the same os process/thread without
+                # giving the chance the previous instances of `CCompilerOpt`
+                # to update the cache.
+                self.compiler_opt.cache_flush()
+
+            self.compiler_opt = new_ccompiler_opt(
+                compiler=self.compiler, dispatch_hpath=dispatch_hpath,
+                cpu_baseline=self.cpu_baseline, cpu_dispatch=self.cpu_dispatch,
+                cache_path=opt_cache_path
+            )
+            def report(copt):
+                log.info("\n########### CLIB COMPILER OPTIMIZATION ###########")
+                log.info(copt.report(full=True))
+
+            import atexit
+            atexit.register(report, self.compiler_opt)
+
+        if self.have_f_sources():
+            from numpy.distutils.fcompiler import new_fcompiler
+            self._f_compiler = new_fcompiler(compiler=self.fcompiler,
+                                             verbose=self.verbose,
+                                             dry_run=self.dry_run,
+                                             force=self.force,
+                                             requiref90='f90' in languages,
+                                             c_compiler=self.compiler)
+            if self._f_compiler is not None:
+                self._f_compiler.customize(self.distribution)
+
+                libraries = self.libraries
+                self.libraries = None
+                self._f_compiler.customize_cmd(self)
+                self.libraries = libraries
+
+                self._f_compiler.show_customization()
+        else:
+            self._f_compiler = None
+
+        self.build_libraries(self.libraries)
+
+        if self.inplace:
+            for l in self.distribution.installed_libraries:
+                libname = self.compiler.library_filename(l.name)
+                source = os.path.join(self.build_clib, libname)
+                target = os.path.join(l.target_dir, libname)
+                self.mkpath(l.target_dir)
+                shutil.copy(source, target)
+
+    def get_source_files(self):
+        self.check_library_list(self.libraries)
+        filenames = []
+        for lib in self.libraries:
+            filenames.extend(get_lib_source_files(lib))
+        return filenames
+
+    def build_libraries(self, libraries):
+        for (lib_name, build_info) in libraries:
+            self.build_a_library(build_info, lib_name, libraries)
+
+    def assemble_flags(self, in_flags):
+        """ Assemble flags from flag list
+
+        Parameters
+        ----------
+        in_flags : None or sequence
+            None corresponds to empty list.  Sequence elements can be strings
+            or callables that return lists of strings. Callable takes `self` as
+            single parameter.
+
+        Returns
+        -------
+        out_flags : list
+        """
+        if in_flags is None:
+            return []
+        out_flags = []
+        for in_flag in in_flags:
+            if callable(in_flag):
+                out_flags += in_flag(self)
+            else:
+                out_flags.append(in_flag)
+        return out_flags
+
+    def build_a_library(self, build_info, lib_name, libraries):
+        # default compilers
+        compiler = self.compiler
+        fcompiler = self._f_compiler
+
+        sources = build_info.get('sources')
+        if sources is None or not is_sequence(sources):
+            raise DistutilsSetupError(("in 'libraries' option (library '%s'), " +
+                                       "'sources' must be present and must be " +
+                                       "a list of source filenames") % lib_name)
+        sources = list(sources)
+
+        c_sources, cxx_sources, f_sources, fmodule_sources \
+            = filter_sources(sources)
+        requiref90 = not not fmodule_sources or \
+            build_info.get('language', 'c') == 'f90'
+
+        # save source type information so that build_ext can use it.
+        source_languages = []
+        if c_sources:
+            source_languages.append('c')
+        if cxx_sources:
+            source_languages.append('c++')
+        if requiref90:
+            source_languages.append('f90')
+        elif f_sources:
+            source_languages.append('f77')
+        build_info['source_languages'] = source_languages
+
+        lib_file = compiler.library_filename(lib_name,
+                                             output_dir=self.build_clib)
+        depends = sources + build_info.get('depends', [])
+
+        force_rebuild = self.force
+        if not self.disable_optimization and not self.compiler_opt.is_cached():
+            log.debug("Detected changes on compiler optimizations")
+            force_rebuild = True
+        if not (force_rebuild or newer_group(depends, lib_file, 'newer')):
+            log.debug("skipping '%s' library (up-to-date)", lib_name)
+            return
+        else:
+            log.info("building '%s' library", lib_name)
+
+        config_fc = build_info.get('config_fc', {})
+        if fcompiler is not None and config_fc:
+            log.info('using additional config_fc from setup script '
+                     'for fortran compiler: %s'
+                     % (config_fc,))
+            from numpy.distutils.fcompiler import new_fcompiler
+            fcompiler = new_fcompiler(compiler=fcompiler.compiler_type,
+                                      verbose=self.verbose,
+                                      dry_run=self.dry_run,
+                                      force=self.force,
+                                      requiref90=requiref90,
+                                      c_compiler=self.compiler)
+            if fcompiler is not None:
+                dist = self.distribution
+                base_config_fc = dist.get_option_dict('config_fc').copy()
+                base_config_fc.update(config_fc)
+                fcompiler.customize(base_config_fc)
+
+        # check availability of Fortran compilers
+        if (f_sources or fmodule_sources) and fcompiler is None:
+            raise DistutilsError("library %s has Fortran sources"
+                                 " but no Fortran compiler found" % (lib_name))
+
+        if fcompiler is not None:
+            fcompiler.extra_f77_compile_args = build_info.get(
+                'extra_f77_compile_args') or []
+            fcompiler.extra_f90_compile_args = build_info.get(
+                'extra_f90_compile_args') or []
+
+        macros = build_info.get('macros')
+        if macros is None:
+            macros = []
+        include_dirs = build_info.get('include_dirs')
+        if include_dirs is None:
+            include_dirs = []
+        # Flags can be strings, or callables that return a list of strings.
+        extra_postargs = self.assemble_flags(
+            build_info.get('extra_compiler_args'))
+        extra_cflags = self.assemble_flags(
+            build_info.get('extra_cflags'))
+        extra_cxxflags = self.assemble_flags(
+            build_info.get('extra_cxxflags'))
+
+        include_dirs.extend(get_numpy_include_dirs())
+        # where compiled F90 module files are:
+        module_dirs = build_info.get('module_dirs') or []
+        module_build_dir = os.path.dirname(lib_file)
+        if requiref90:
+            self.mkpath(module_build_dir)
+
+        if compiler.compiler_type == 'msvc':
+            # this hack works around the msvc compiler attributes
+            # problem, msvc uses its own convention :(
+            c_sources += cxx_sources
+            cxx_sources = []
+            extra_cflags += extra_cxxflags
+
+        # filtering C dispatch-table sources when optimization is not disabled,
+        # otherwise treated as normal sources.
+        copt_c_sources = []
+        copt_cxx_sources = []
+        copt_baseline_flags = []
+        copt_macros = []
+        if not self.disable_optimization:
+            bsrc_dir = self.get_finalized_command("build_src").build_src
+            dispatch_hpath = os.path.join("numpy", "distutils", "include")
+            dispatch_hpath = os.path.join(bsrc_dir, dispatch_hpath)
+            include_dirs.append(dispatch_hpath)
+            # copt_build_src = None if self.inplace else bsrc_dir
+            copt_build_src = bsrc_dir
+            for _srcs, _dst, _ext in (
+                ((c_sources,), copt_c_sources, ('.dispatch.c',)),
+                ((c_sources, cxx_sources), copt_cxx_sources,
+                    ('.dispatch.cpp', '.dispatch.cxx'))
+            ):
+                for _src in _srcs:
+                    _dst += [
+                        _src.pop(_src.index(s))
+                        for s in _src[:] if s.endswith(_ext)
+                    ]
+            copt_baseline_flags = self.compiler_opt.cpu_baseline_flags()
+        else:
+            copt_macros.append(("NPY_DISABLE_OPTIMIZATION", 1))
+
+        objects = []
+        if copt_cxx_sources:
+            log.info("compiling C++ dispatch-able sources")
+            objects += self.compiler_opt.try_dispatch(
+                copt_c_sources,
+                output_dir=self.build_temp,
+                src_dir=copt_build_src,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=extra_postargs + extra_cxxflags,
+                ccompiler=cxx_compiler
+            )
+
+        if copt_c_sources:
+            log.info("compiling C dispatch-able sources")
+            objects += self.compiler_opt.try_dispatch(
+                copt_c_sources,
+                output_dir=self.build_temp,
+                src_dir=copt_build_src,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=extra_postargs + extra_cflags)
+
+        if c_sources:
+            log.info("compiling C sources")
+            objects += compiler.compile(
+                c_sources,
+                output_dir=self.build_temp,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=(extra_postargs +
+                                copt_baseline_flags +
+                                extra_cflags))
+
+        if cxx_sources:
+            log.info("compiling C++ sources")
+            cxx_compiler = compiler.cxx_compiler()
+            cxx_objects = cxx_compiler.compile(
+                cxx_sources,
+                output_dir=self.build_temp,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=(extra_postargs +
+                                copt_baseline_flags +
+                                extra_cxxflags))
+            objects.extend(cxx_objects)
+
+        if f_sources or fmodule_sources:
+            extra_postargs = []
+            f_objects = []
+
+            if requiref90:
+                if fcompiler.module_dir_switch is None:
+                    existing_modules = glob('*.mod')
+                extra_postargs += fcompiler.module_options(
+                    module_dirs, module_build_dir)
+
+            if fmodule_sources:
+                log.info("compiling Fortran 90 module sources")
+                f_objects += fcompiler.compile(fmodule_sources,
+                                               output_dir=self.build_temp,
+                                               macros=macros,
+                                               include_dirs=include_dirs,
+                                               debug=self.debug,
+                                               extra_postargs=extra_postargs)
+
+            if requiref90 and self._f_compiler.module_dir_switch is None:
+                # move new compiled F90 module files to module_build_dir
+                for f in glob('*.mod'):
+                    if f in existing_modules:
+                        continue
+                    t = os.path.join(module_build_dir, f)
+                    if os.path.abspath(f) == os.path.abspath(t):
+                        continue
+                    if os.path.isfile(t):
+                        os.remove(t)
+                    try:
+                        self.move_file(f, module_build_dir)
+                    except DistutilsFileError:
+                        log.warn('failed to move %r to %r'
+                                 % (f, module_build_dir))
+
+            if f_sources:
+                log.info("compiling Fortran sources")
+                f_objects += fcompiler.compile(f_sources,
+                                               output_dir=self.build_temp,
+                                               macros=macros,
+                                               include_dirs=include_dirs,
+                                               debug=self.debug,
+                                               extra_postargs=extra_postargs)
+        else:
+            f_objects = []
+
+        if f_objects and not fcompiler.can_ccompiler_link(compiler):
+            # Default linker cannot link Fortran object files, and results
+            # need to be wrapped later. Instead of creating a real static
+            # library, just keep track of the object files.
+            listfn = os.path.join(self.build_clib,
+                                  lib_name + '.fobjects')
+            with open(listfn, 'w') as f:
+                f.write("\n".join(os.path.abspath(obj) for obj in f_objects))
+
+            listfn = os.path.join(self.build_clib,
+                                  lib_name + '.cobjects')
+            with open(listfn, 'w') as f:
+                f.write("\n".join(os.path.abspath(obj) for obj in objects))
+
+            # create empty "library" file for dependency tracking
+            lib_fname = os.path.join(self.build_clib,
+                                     lib_name + compiler.static_lib_extension)
+            with open(lib_fname, 'wb') as f:
+                pass
+        else:
+            # assume that default linker is suitable for
+            # linking Fortran object files
+            objects.extend(f_objects)
+            compiler.create_static_lib(objects, lib_name,
+                                       output_dir=self.build_clib,
+                                       debug=self.debug)
+
+        # fix library dependencies
+        clib_libraries = build_info.get('libraries', [])
+        for lname, binfo in libraries:
+            if lname in clib_libraries:
+                clib_libraries.extend(binfo.get('libraries', []))
+        if clib_libraries:
+            build_info['libraries'] = clib_libraries
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_ext.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_ext.py
new file mode 100644
index 0000000000000000000000000000000000000000..5c62d90c5768ee8fa0f5542531b188c3446237f0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_ext.py
@@ -0,0 +1,752 @@
+""" Modified version of build_ext that handles fortran source files.
+
+"""
+import os
+import subprocess
+from glob import glob
+
+from distutils.dep_util import newer_group
+from distutils.command.build_ext import build_ext as old_build_ext
+from distutils.errors import DistutilsFileError, DistutilsSetupError,\
+    DistutilsError
+from distutils.file_util import copy_file
+
+from numpy.distutils import log
+from numpy.distutils.exec_command import filepath_from_subprocess_output
+from numpy.distutils.system_info import combine_paths
+from numpy.distutils.misc_util import (
+    filter_sources, get_ext_source_files, get_numpy_include_dirs,
+    has_cxx_sources, has_f_sources, is_sequence
+)
+from numpy.distutils.command.config_compiler import show_fortran_compilers
+from numpy.distutils.ccompiler_opt import new_ccompiler_opt, CCompilerOpt
+
+class build_ext (old_build_ext):
+
+    description = "build C/C++/F extensions (compile/link to build directory)"
+
+    user_options = old_build_ext.user_options + [
+        ('fcompiler=', None,
+         "specify the Fortran compiler type"),
+        ('parallel=', 'j',
+         "number of parallel jobs"),
+        ('warn-error', None,
+         "turn all warnings into errors (-Werror)"),
+        ('cpu-baseline=', None,
+         "specify a list of enabled baseline CPU optimizations"),
+        ('cpu-dispatch=', None,
+         "specify a list of dispatched CPU optimizations"),
+        ('disable-optimization', None,
+         "disable CPU optimized code(dispatch,simd,fast...)"),
+        ('simd-test=', None,
+         "specify a list of CPU optimizations to be tested against NumPy SIMD interface"),
+    ]
+
+    help_options = old_build_ext.help_options + [
+        ('help-fcompiler', None, "list available Fortran compilers",
+         show_fortran_compilers),
+    ]
+
+    boolean_options = old_build_ext.boolean_options + ['warn-error', 'disable-optimization']
+
+    def initialize_options(self):
+        old_build_ext.initialize_options(self)
+        self.fcompiler = None
+        self.parallel = None
+        self.warn_error = None
+        self.cpu_baseline = None
+        self.cpu_dispatch = None
+        self.disable_optimization = None
+        self.simd_test = None
+
+    def finalize_options(self):
+        if self.parallel:
+            try:
+                self.parallel = int(self.parallel)
+            except ValueError as e:
+                raise ValueError("--parallel/-j argument must be an integer") from e
+
+        # Ensure that self.include_dirs and self.distribution.include_dirs
+        # refer to the same list object. finalize_options will modify
+        # self.include_dirs, but self.distribution.include_dirs is used
+        # during the actual build.
+        # self.include_dirs is None unless paths are specified with
+        # --include-dirs.
+        # The include paths will be passed to the compiler in the order:
+        # numpy paths, --include-dirs paths, Python include path.
+        if isinstance(self.include_dirs, str):
+            self.include_dirs = self.include_dirs.split(os.pathsep)
+        incl_dirs = self.include_dirs or []
+        if self.distribution.include_dirs is None:
+            self.distribution.include_dirs = []
+        self.include_dirs = self.distribution.include_dirs
+        self.include_dirs.extend(incl_dirs)
+
+        old_build_ext.finalize_options(self)
+        self.set_undefined_options('build',
+                                        ('parallel', 'parallel'),
+                                        ('warn_error', 'warn_error'),
+                                        ('cpu_baseline', 'cpu_baseline'),
+                                        ('cpu_dispatch', 'cpu_dispatch'),
+                                        ('disable_optimization', 'disable_optimization'),
+                                        ('simd_test', 'simd_test')
+                                  )
+        CCompilerOpt.conf_target_groups["simd_test"] = self.simd_test
+
+    def run(self):
+        if not self.extensions:
+            return
+
+        # Make sure that extension sources are complete.
+        self.run_command('build_src')
+
+        if self.distribution.has_c_libraries():
+            if self.inplace:
+                if self.distribution.have_run.get('build_clib'):
+                    log.warn('build_clib already run, it is too late to '
+                             'ensure in-place build of build_clib')
+                    build_clib = self.distribution.get_command_obj(
+                        'build_clib')
+                else:
+                    build_clib = self.distribution.get_command_obj(
+                        'build_clib')
+                    build_clib.inplace = 1
+                    build_clib.ensure_finalized()
+                    build_clib.run()
+                    self.distribution.have_run['build_clib'] = 1
+
+            else:
+                self.run_command('build_clib')
+                build_clib = self.get_finalized_command('build_clib')
+            self.library_dirs.append(build_clib.build_clib)
+        else:
+            build_clib = None
+
+        # Not including C libraries to the list of
+        # extension libraries automatically to prevent
+        # bogus linking commands. Extensions must
+        # explicitly specify the C libraries that they use.
+
+        from distutils.ccompiler import new_compiler
+        from numpy.distutils.fcompiler import new_fcompiler
+
+        compiler_type = self.compiler
+        # Initialize C compiler:
+        self.compiler = new_compiler(compiler=compiler_type,
+                                     verbose=self.verbose,
+                                     dry_run=self.dry_run,
+                                     force=self.force)
+        self.compiler.customize(self.distribution)
+        self.compiler.customize_cmd(self)
+
+        if self.warn_error:
+            self.compiler.compiler.append('-Werror')
+            self.compiler.compiler_so.append('-Werror')
+
+        self.compiler.show_customization()
+
+        if not self.disable_optimization:
+            dispatch_hpath = os.path.join("numpy", "distutils", "include", "npy_cpu_dispatch_config.h")
+            dispatch_hpath = os.path.join(self.get_finalized_command("build_src").build_src, dispatch_hpath)
+            opt_cache_path = os.path.abspath(
+                os.path.join(self.build_temp, 'ccompiler_opt_cache_ext.py')
+            )
+            if hasattr(self, "compiler_opt"):
+                # By default `CCompilerOpt` update the cache at the exit of
+                # the process, which may lead to duplicate building
+                # (see build_extension()/force_rebuild) if run() called
+                # multiple times within the same os process/thread without
+                # giving the chance the previous instances of `CCompilerOpt`
+                # to update the cache.
+                self.compiler_opt.cache_flush()
+
+            self.compiler_opt = new_ccompiler_opt(
+                compiler=self.compiler, dispatch_hpath=dispatch_hpath,
+                cpu_baseline=self.cpu_baseline, cpu_dispatch=self.cpu_dispatch,
+                cache_path=opt_cache_path
+            )
+            def report(copt):
+                log.info("\n########### EXT COMPILER OPTIMIZATION ###########")
+                log.info(copt.report(full=True))
+
+            import atexit
+            atexit.register(report, self.compiler_opt)
+
+        # Setup directory for storing generated extra DLL files on Windows
+        self.extra_dll_dir = os.path.join(self.build_temp, '.libs')
+        if not os.path.isdir(self.extra_dll_dir):
+            os.makedirs(self.extra_dll_dir)
+
+        # Create mapping of libraries built by build_clib:
+        clibs = {}
+        if build_clib is not None:
+            for libname, build_info in build_clib.libraries or []:
+                if libname in clibs and clibs[libname] != build_info:
+                    log.warn('library %r defined more than once,'
+                             ' overwriting build_info\n%s... \nwith\n%s...'
+                             % (libname, repr(clibs[libname])[:300], repr(build_info)[:300]))
+                clibs[libname] = build_info
+        # .. and distribution libraries:
+        for libname, build_info in self.distribution.libraries or []:
+            if libname in clibs:
+                # build_clib libraries have a precedence before distribution ones
+                continue
+            clibs[libname] = build_info
+
+        # Determine if C++/Fortran 77/Fortran 90 compilers are needed.
+        # Update extension libraries, library_dirs, and macros.
+        all_languages = set()
+        for ext in self.extensions:
+            ext_languages = set()
+            c_libs = []
+            c_lib_dirs = []
+            macros = []
+            for libname in ext.libraries:
+                if libname in clibs:
+                    binfo = clibs[libname]
+                    c_libs += binfo.get('libraries', [])
+                    c_lib_dirs += binfo.get('library_dirs', [])
+                    for m in binfo.get('macros', []):
+                        if m not in macros:
+                            macros.append(m)
+
+                for l in clibs.get(libname, {}).get('source_languages', []):
+                    ext_languages.add(l)
+            if c_libs:
+                new_c_libs = ext.libraries + c_libs
+                log.info('updating extension %r libraries from %r to %r'
+                         % (ext.name, ext.libraries, new_c_libs))
+                ext.libraries = new_c_libs
+                ext.library_dirs = ext.library_dirs + c_lib_dirs
+            if macros:
+                log.info('extending extension %r defined_macros with %r'
+                         % (ext.name, macros))
+                ext.define_macros = ext.define_macros + macros
+
+            # determine extension languages
+            if has_f_sources(ext.sources):
+                ext_languages.add('f77')
+            if has_cxx_sources(ext.sources):
+                ext_languages.add('c++')
+            l = ext.language or self.compiler.detect_language(ext.sources)
+            if l:
+                ext_languages.add(l)
+
+            # reset language attribute for choosing proper linker
+            #
+            # When we build extensions with multiple languages, we have to
+            # choose a linker. The rules here are:
+            #   1. if there is Fortran code, always prefer the Fortran linker,
+            #   2. otherwise prefer C++ over C,
+            #   3. Users can force a particular linker by using
+            #          `language='c'`  # or 'c++', 'f90', 'f77'
+            #      in their config.add_extension() calls.
+            if 'c++' in ext_languages:
+                ext_language = 'c++'
+            else:
+                ext_language = 'c'  # default
+
+            has_fortran = False
+            if 'f90' in ext_languages:
+                ext_language = 'f90'
+                has_fortran = True
+            elif 'f77' in ext_languages:
+                ext_language = 'f77'
+                has_fortran = True
+
+            if not ext.language or has_fortran:
+                if l and l != ext_language and ext.language:
+                    log.warn('resetting extension %r language from %r to %r.' %
+                             (ext.name, l, ext_language))
+
+            ext.language = ext_language
+
+            # global language
+            all_languages.update(ext_languages)
+
+        need_f90_compiler = 'f90' in all_languages
+        need_f77_compiler = 'f77' in all_languages
+        need_cxx_compiler = 'c++' in all_languages
+
+        # Initialize C++ compiler:
+        if need_cxx_compiler:
+            self._cxx_compiler = new_compiler(compiler=compiler_type,
+                                              verbose=self.verbose,
+                                              dry_run=self.dry_run,
+                                              force=self.force)
+            compiler = self._cxx_compiler
+            compiler.customize(self.distribution, need_cxx=need_cxx_compiler)
+            compiler.customize_cmd(self)
+            compiler.show_customization()
+            self._cxx_compiler = compiler.cxx_compiler()
+        else:
+            self._cxx_compiler = None
+
+        # Initialize Fortran 77 compiler:
+        if need_f77_compiler:
+            ctype = self.fcompiler
+            self._f77_compiler = new_fcompiler(compiler=self.fcompiler,
+                                               verbose=self.verbose,
+                                               dry_run=self.dry_run,
+                                               force=self.force,
+                                               requiref90=False,
+                                               c_compiler=self.compiler)
+            fcompiler = self._f77_compiler
+            if fcompiler:
+                ctype = fcompiler.compiler_type
+                fcompiler.customize(self.distribution)
+            if fcompiler and fcompiler.get_version():
+                fcompiler.customize_cmd(self)
+                fcompiler.show_customization()
+            else:
+                self.warn('f77_compiler=%s is not available.' %
+                          (ctype))
+                self._f77_compiler = None
+        else:
+            self._f77_compiler = None
+
+        # Initialize Fortran 90 compiler:
+        if need_f90_compiler:
+            ctype = self.fcompiler
+            self._f90_compiler = new_fcompiler(compiler=self.fcompiler,
+                                               verbose=self.verbose,
+                                               dry_run=self.dry_run,
+                                               force=self.force,
+                                               requiref90=True,
+                                               c_compiler=self.compiler)
+            fcompiler = self._f90_compiler
+            if fcompiler:
+                ctype = fcompiler.compiler_type
+                fcompiler.customize(self.distribution)
+            if fcompiler and fcompiler.get_version():
+                fcompiler.customize_cmd(self)
+                fcompiler.show_customization()
+            else:
+                self.warn('f90_compiler=%s is not available.' %
+                          (ctype))
+                self._f90_compiler = None
+        else:
+            self._f90_compiler = None
+
+        # Build extensions
+        self.build_extensions()
+
+        # Copy over any extra DLL files
+        # FIXME: In the case where there are more than two packages,
+        # we blindly assume that both packages need all of the libraries,
+        # resulting in a larger wheel than is required. This should be fixed,
+        # but it's so rare that I won't bother to handle it.
+        pkg_roots = {
+            self.get_ext_fullname(ext.name).split('.')[0]
+            for ext in self.extensions
+        }
+        for pkg_root in pkg_roots:
+            shared_lib_dir = os.path.join(pkg_root, '.libs')
+            if not self.inplace:
+                shared_lib_dir = os.path.join(self.build_lib, shared_lib_dir)
+            for fn in os.listdir(self.extra_dll_dir):
+                if not os.path.isdir(shared_lib_dir):
+                    os.makedirs(shared_lib_dir)
+                if not fn.lower().endswith('.dll'):
+                    continue
+                runtime_lib = os.path.join(self.extra_dll_dir, fn)
+                copy_file(runtime_lib, shared_lib_dir)
+
+    def swig_sources(self, sources, extensions=None):
+        # Do nothing. Swig sources have been handled in build_src command.
+        return sources
+
+    def build_extension(self, ext):
+        sources = ext.sources
+        if sources is None or not is_sequence(sources):
+            raise DistutilsSetupError(
+                ("in 'ext_modules' option (extension '%s'), " +
+                 "'sources' must be present and must be " +
+                 "a list of source filenames") % ext.name)
+        sources = list(sources)
+
+        if not sources:
+            return
+
+        fullname = self.get_ext_fullname(ext.name)
+        if self.inplace:
+            modpath = fullname.split('.')
+            package = '.'.join(modpath[0:-1])
+            base = modpath[-1]
+            build_py = self.get_finalized_command('build_py')
+            package_dir = build_py.get_package_dir(package)
+            ext_filename = os.path.join(package_dir,
+                                        self.get_ext_filename(base))
+        else:
+            ext_filename = os.path.join(self.build_lib,
+                                        self.get_ext_filename(fullname))
+        depends = sources + ext.depends
+
+        force_rebuild = self.force
+        if not self.disable_optimization and not self.compiler_opt.is_cached():
+            log.debug("Detected changes on compiler optimizations")
+            force_rebuild = True
+        if not (force_rebuild or newer_group(depends, ext_filename, 'newer')):
+            log.debug("skipping '%s' extension (up-to-date)", ext.name)
+            return
+        else:
+            log.info("building '%s' extension", ext.name)
+
+        extra_args = ext.extra_compile_args or []
+        extra_cflags = getattr(ext, 'extra_c_compile_args', None) or []
+        extra_cxxflags = getattr(ext, 'extra_cxx_compile_args', None) or []
+
+        macros = ext.define_macros[:]
+        for undef in ext.undef_macros:
+            macros.append((undef,))
+
+        c_sources, cxx_sources, f_sources, fmodule_sources = \
+            filter_sources(ext.sources)
+
+        if self.compiler.compiler_type == 'msvc':
+            if cxx_sources:
+                # Needed to compile kiva.agg._agg extension.
+                extra_args.append('/Zm1000')
+                extra_cflags += extra_cxxflags
+            # this hack works around the msvc compiler attributes
+            # problem, msvc uses its own convention :(
+            c_sources += cxx_sources
+            cxx_sources = []
+
+        # Set Fortran/C++ compilers for compilation and linking.
+        if ext.language == 'f90':
+            fcompiler = self._f90_compiler
+        elif ext.language == 'f77':
+            fcompiler = self._f77_compiler
+        else:  # in case ext.language is c++, for instance
+            fcompiler = self._f90_compiler or self._f77_compiler
+        if fcompiler is not None:
+            fcompiler.extra_f77_compile_args = (ext.extra_f77_compile_args or []) if hasattr(
+                ext, 'extra_f77_compile_args') else []
+            fcompiler.extra_f90_compile_args = (ext.extra_f90_compile_args or []) if hasattr(
+                ext, 'extra_f90_compile_args') else []
+        cxx_compiler = self._cxx_compiler
+
+        # check for the availability of required compilers
+        if cxx_sources and cxx_compiler is None:
+            raise DistutilsError("extension %r has C++ sources"
+                                 "but no C++ compiler found" % (ext.name))
+        if (f_sources or fmodule_sources) and fcompiler is None:
+            raise DistutilsError("extension %r has Fortran sources "
+                                 "but no Fortran compiler found" % (ext.name))
+        if ext.language in ['f77', 'f90'] and fcompiler is None:
+            self.warn("extension %r has Fortran libraries "
+                      "but no Fortran linker found, using default linker" % (ext.name))
+        if ext.language == 'c++' and cxx_compiler is None:
+            self.warn("extension %r has C++ libraries "
+                      "but no C++ linker found, using default linker" % (ext.name))
+
+        kws = {'depends': ext.depends}
+        output_dir = self.build_temp
+
+        include_dirs = ext.include_dirs + get_numpy_include_dirs()
+
+        # filtering C dispatch-table sources when optimization is not disabled,
+        # otherwise treated as normal sources.
+        copt_c_sources = []
+        copt_cxx_sources = []
+        copt_baseline_flags = []
+        copt_macros = []
+        if not self.disable_optimization:
+            bsrc_dir = self.get_finalized_command("build_src").build_src
+            dispatch_hpath = os.path.join("numpy", "distutils", "include")
+            dispatch_hpath = os.path.join(bsrc_dir, dispatch_hpath)
+            include_dirs.append(dispatch_hpath)
+
+            # copt_build_src = None if self.inplace else bsrc_dir
+            # Always generate the generated config files and
+            # dispatch-able sources inside the build directory,
+            # even if the build option `inplace` is enabled.
+            # This approach prevents conflicts with Meson-generated
+            # config headers. Since `spin build --clean` will not remove
+            # these headers, they might overwrite the generated Meson headers,
+            # causing compatibility issues. Maintaining separate directories
+            # ensures compatibility between distutils dispatch config headers
+            # and Meson headers, avoiding build disruptions.
+            # See gh-24450 for more details.
+            copt_build_src = bsrc_dir
+            for _srcs, _dst, _ext in (
+                ((c_sources,), copt_c_sources, ('.dispatch.c',)),
+                ((c_sources, cxx_sources), copt_cxx_sources,
+                    ('.dispatch.cpp', '.dispatch.cxx'))
+            ):
+                for _src in _srcs:
+                    _dst += [
+                        _src.pop(_src.index(s))
+                        for s in _src[:] if s.endswith(_ext)
+                    ]
+            copt_baseline_flags = self.compiler_opt.cpu_baseline_flags()
+        else:
+            copt_macros.append(("NPY_DISABLE_OPTIMIZATION", 1))
+
+        c_objects = []
+        if copt_cxx_sources:
+            log.info("compiling C++ dispatch-able sources")
+            c_objects += self.compiler_opt.try_dispatch(
+                copt_cxx_sources,
+                output_dir=output_dir,
+                src_dir=copt_build_src,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=extra_args + extra_cxxflags,
+                ccompiler=cxx_compiler,
+                **kws
+            )
+        if copt_c_sources:
+            log.info("compiling C dispatch-able sources")
+            c_objects += self.compiler_opt.try_dispatch(
+                copt_c_sources,
+                output_dir=output_dir,
+                src_dir=copt_build_src,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=extra_args + extra_cflags,
+                **kws)
+        if c_sources:
+            log.info("compiling C sources")
+            c_objects += self.compiler.compile(
+                c_sources,
+                output_dir=output_dir,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=(extra_args + copt_baseline_flags +
+                                extra_cflags),
+                **kws)
+        if cxx_sources:
+            log.info("compiling C++ sources")
+            c_objects += cxx_compiler.compile(
+                cxx_sources,
+                output_dir=output_dir,
+                macros=macros + copt_macros,
+                include_dirs=include_dirs,
+                debug=self.debug,
+                extra_postargs=(extra_args + copt_baseline_flags +
+                                extra_cxxflags),
+                **kws)
+
+        extra_postargs = []
+        f_objects = []
+        if fmodule_sources:
+            log.info("compiling Fortran 90 module sources")
+            module_dirs = ext.module_dirs[:]
+            module_build_dir = os.path.join(
+                self.build_temp, os.path.dirname(
+                    self.get_ext_filename(fullname)))
+
+            self.mkpath(module_build_dir)
+            if fcompiler.module_dir_switch is None:
+                existing_modules = glob('*.mod')
+            extra_postargs += fcompiler.module_options(
+                module_dirs, module_build_dir)
+            f_objects += fcompiler.compile(fmodule_sources,
+                                           output_dir=self.build_temp,
+                                           macros=macros,
+                                           include_dirs=include_dirs,
+                                           debug=self.debug,
+                                           extra_postargs=extra_postargs,
+                                           depends=ext.depends)
+
+            if fcompiler.module_dir_switch is None:
+                for f in glob('*.mod'):
+                    if f in existing_modules:
+                        continue
+                    t = os.path.join(module_build_dir, f)
+                    if os.path.abspath(f) == os.path.abspath(t):
+                        continue
+                    if os.path.isfile(t):
+                        os.remove(t)
+                    try:
+                        self.move_file(f, module_build_dir)
+                    except DistutilsFileError:
+                        log.warn('failed to move %r to %r' %
+                                 (f, module_build_dir))
+        if f_sources:
+            log.info("compiling Fortran sources")
+            f_objects += fcompiler.compile(f_sources,
+                                           output_dir=self.build_temp,
+                                           macros=macros,
+                                           include_dirs=include_dirs,
+                                           debug=self.debug,
+                                           extra_postargs=extra_postargs,
+                                           depends=ext.depends)
+
+        if f_objects and not fcompiler.can_ccompiler_link(self.compiler):
+            unlinkable_fobjects = f_objects
+            objects = c_objects
+        else:
+            unlinkable_fobjects = []
+            objects = c_objects + f_objects
+
+        if ext.extra_objects:
+            objects.extend(ext.extra_objects)
+        extra_args = ext.extra_link_args or []
+        libraries = self.get_libraries(ext)[:]
+        library_dirs = ext.library_dirs[:]
+
+        linker = self.compiler.link_shared_object
+        # Always use system linker when using MSVC compiler.
+        if self.compiler.compiler_type in ('msvc', 'intelw', 'intelemw'):
+            # expand libraries with fcompiler libraries as we are
+            # not using fcompiler linker
+            self._libs_with_msvc_and_fortran(
+                fcompiler, libraries, library_dirs)
+            if ext.runtime_library_dirs:
+                # gcc adds RPATH to the link. On windows, copy the dll into
+                # self.extra_dll_dir instead.
+                for d in ext.runtime_library_dirs:
+                    for f in glob(d + '/*.dll'):
+                        copy_file(f, self.extra_dll_dir)
+                ext.runtime_library_dirs = []
+
+        elif ext.language in ['f77', 'f90'] and fcompiler is not None:
+            linker = fcompiler.link_shared_object
+        if ext.language == 'c++' and cxx_compiler is not None:
+            linker = cxx_compiler.link_shared_object
+
+        if fcompiler is not None:
+            objects, libraries = self._process_unlinkable_fobjects(
+                    objects, libraries,
+                    fcompiler, library_dirs,
+                    unlinkable_fobjects)
+
+        linker(objects, ext_filename,
+               libraries=libraries,
+               library_dirs=library_dirs,
+               runtime_library_dirs=ext.runtime_library_dirs,
+               extra_postargs=extra_args,
+               export_symbols=self.get_export_symbols(ext),
+               debug=self.debug,
+               build_temp=self.build_temp,
+               target_lang=ext.language)
+
+    def _add_dummy_mingwex_sym(self, c_sources):
+        build_src = self.get_finalized_command("build_src").build_src
+        build_clib = self.get_finalized_command("build_clib").build_clib
+        objects = self.compiler.compile([os.path.join(build_src,
+                                                      "gfortran_vs2003_hack.c")],
+                                        output_dir=self.build_temp)
+        self.compiler.create_static_lib(
+            objects, "_gfortran_workaround", output_dir=build_clib, debug=self.debug)
+
+    def _process_unlinkable_fobjects(self, objects, libraries,
+                                     fcompiler, library_dirs,
+                                     unlinkable_fobjects):
+        libraries = list(libraries)
+        objects = list(objects)
+        unlinkable_fobjects = list(unlinkable_fobjects)
+
+        # Expand possible fake static libraries to objects;
+        # make sure to iterate over a copy of the list as
+        # "fake" libraries will be removed as they are
+        # encountered
+        for lib in libraries[:]:
+            for libdir in library_dirs:
+                fake_lib = os.path.join(libdir, lib + '.fobjects')
+                if os.path.isfile(fake_lib):
+                    # Replace fake static library
+                    libraries.remove(lib)
+                    with open(fake_lib) as f:
+                        unlinkable_fobjects.extend(f.read().splitlines())
+
+                    # Expand C objects
+                    c_lib = os.path.join(libdir, lib + '.cobjects')
+                    with open(c_lib) as f:
+                        objects.extend(f.read().splitlines())
+
+        # Wrap unlinkable objects to a linkable one
+        if unlinkable_fobjects:
+            fobjects = [os.path.abspath(obj) for obj in unlinkable_fobjects]
+            wrapped = fcompiler.wrap_unlinkable_objects(
+                    fobjects, output_dir=self.build_temp,
+                    extra_dll_dir=self.extra_dll_dir)
+            objects.extend(wrapped)
+
+        return objects, libraries
+
+    def _libs_with_msvc_and_fortran(self, fcompiler, c_libraries,
+                                    c_library_dirs):
+        if fcompiler is None:
+            return
+
+        for libname in c_libraries:
+            if libname.startswith('msvc'):
+                continue
+            fileexists = False
+            for libdir in c_library_dirs or []:
+                libfile = os.path.join(libdir, '%s.lib' % (libname))
+                if os.path.isfile(libfile):
+                    fileexists = True
+                    break
+            if fileexists:
+                continue
+            # make g77-compiled static libs available to MSVC
+            fileexists = False
+            for libdir in c_library_dirs:
+                libfile = os.path.join(libdir, 'lib%s.a' % (libname))
+                if os.path.isfile(libfile):
+                    # copy libname.a file to name.lib so that MSVC linker
+                    # can find it
+                    libfile2 = os.path.join(self.build_temp, libname + '.lib')
+                    copy_file(libfile, libfile2)
+                    if self.build_temp not in c_library_dirs:
+                        c_library_dirs.append(self.build_temp)
+                    fileexists = True
+                    break
+            if fileexists:
+                continue
+            log.warn('could not find library %r in directories %s'
+                     % (libname, c_library_dirs))
+
+        # Always use system linker when using MSVC compiler.
+        f_lib_dirs = []
+        for dir in fcompiler.library_dirs:
+            # correct path when compiling in Cygwin but with normal Win
+            # Python
+            if dir.startswith('/usr/lib'):
+                try:
+                    dir = subprocess.check_output(['cygpath', '-w', dir])
+                except (OSError, subprocess.CalledProcessError):
+                    pass
+                else:
+                    dir = filepath_from_subprocess_output(dir)
+            f_lib_dirs.append(dir)
+        c_library_dirs.extend(f_lib_dirs)
+
+        # make g77-compiled static libs available to MSVC
+        for lib in fcompiler.libraries:
+            if not lib.startswith('msvc'):
+                c_libraries.append(lib)
+                p = combine_paths(f_lib_dirs, 'lib' + lib + '.a')
+                if p:
+                    dst_name = os.path.join(self.build_temp, lib + '.lib')
+                    if not os.path.isfile(dst_name):
+                        copy_file(p[0], dst_name)
+                    if self.build_temp not in c_library_dirs:
+                        c_library_dirs.append(self.build_temp)
+
+    def get_source_files(self):
+        self.check_extensions_list(self.extensions)
+        filenames = []
+        for ext in self.extensions:
+            filenames.extend(get_ext_source_files(ext))
+        return filenames
+
+    def get_outputs(self):
+        self.check_extensions_list(self.extensions)
+
+        outputs = []
+        for ext in self.extensions:
+            if not ext.sources:
+                continue
+            fullname = self.get_ext_fullname(ext.name)
+            outputs.append(os.path.join(self.build_lib,
+                                        self.get_ext_filename(fullname)))
+        return outputs
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_py.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_py.py
new file mode 100644
index 0000000000000000000000000000000000000000..d30dc5bf42d806e03b055627b7f813f4b772d2f5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_py.py
@@ -0,0 +1,31 @@
+from distutils.command.build_py import build_py as old_build_py
+from numpy.distutils.misc_util import is_string
+
+class build_py(old_build_py):
+
+    def run(self):
+        build_src = self.get_finalized_command('build_src')
+        if build_src.py_modules_dict and self.packages is None:
+            self.packages = list(build_src.py_modules_dict.keys ())
+        old_build_py.run(self)
+
+    def find_package_modules(self, package, package_dir):
+        modules = old_build_py.find_package_modules(self, package, package_dir)
+
+        # Find build_src generated *.py files.
+        build_src = self.get_finalized_command('build_src')
+        modules += build_src.py_modules_dict.get(package, [])
+
+        return modules
+
+    def find_modules(self):
+        old_py_modules = self.py_modules[:]
+        new_py_modules = [_m for _m in self.py_modules if is_string(_m)]
+        self.py_modules[:] = new_py_modules
+        modules = old_build_py.find_modules(self)
+        self.py_modules[:] = old_py_modules
+
+        return modules
+
+    # XXX: Fix find_source_files for item in py_modules such that item is 3-tuple
+    # and item[2] is source file.
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_scripts.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_scripts.py
new file mode 100644
index 0000000000000000000000000000000000000000..d5cadb2745fefccf2efe646afa986452461e48a0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_scripts.py
@@ -0,0 +1,49 @@
+""" Modified version of build_scripts that handles building scripts from functions.
+
+"""
+from distutils.command.build_scripts import build_scripts as old_build_scripts
+from numpy.distutils import log
+from numpy.distutils.misc_util import is_string
+
+class build_scripts(old_build_scripts):
+
+    def generate_scripts(self, scripts):
+        new_scripts = []
+        func_scripts = []
+        for script in scripts:
+            if is_string(script):
+                new_scripts.append(script)
+            else:
+                func_scripts.append(script)
+        if not func_scripts:
+            return new_scripts
+
+        build_dir = self.build_dir
+        self.mkpath(build_dir)
+        for func in func_scripts:
+            script = func(build_dir)
+            if not script:
+                continue
+            if is_string(script):
+                log.info("  adding '%s' to scripts" % (script,))
+                new_scripts.append(script)
+            else:
+                [log.info("  adding '%s' to scripts" % (s,)) for s in script]
+                new_scripts.extend(list(script))
+        return new_scripts
+
+    def run (self):
+        if not self.scripts:
+            return
+
+        self.scripts = self.generate_scripts(self.scripts)
+        # Now make sure that the distribution object has this list of scripts.
+        # setuptools' develop command requires that this be a list of filenames,
+        # not functions.
+        self.distribution.scripts = self.scripts
+
+        return old_build_scripts.run(self)
+
+    def get_source_files(self):
+        from numpy.distutils.misc_util import get_script_files
+        return get_script_files(self.scripts)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_src.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_src.py
new file mode 100644
index 0000000000000000000000000000000000000000..7303db124cc831d1a09bc29322e8d62a7f256031
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/build_src.py
@@ -0,0 +1,773 @@
+""" Build swig and f2py sources.
+"""
+import os
+import re
+import sys
+import shlex
+import copy
+
+from distutils.command import build_ext
+from distutils.dep_util import newer_group, newer
+from distutils.util import get_platform
+from distutils.errors import DistutilsError, DistutilsSetupError
+
+
+# this import can't be done here, as it uses numpy stuff only available
+# after it's installed
+#import numpy.f2py
+from numpy.distutils import log
+from numpy.distutils.misc_util import (
+    fortran_ext_match, appendpath, is_string, is_sequence, get_cmd
+    )
+from numpy.distutils.from_template import process_file as process_f_file
+from numpy.distutils.conv_template import process_file as process_c_file
+
+def subst_vars(target, source, d):
+    """Substitute any occurrence of @foo@ by d['foo'] from source file into
+    target."""
+    var = re.compile('@([a-zA-Z_]+)@')
+    with open(source, 'r') as fs:
+        with open(target, 'w') as ft:
+            for l in fs:
+                m = var.search(l)
+                if m:
+                    ft.write(l.replace('@%s@' % m.group(1), d[m.group(1)]))
+                else:
+                    ft.write(l)
+
+class build_src(build_ext.build_ext):
+
+    description = "build sources from SWIG, F2PY files or a function"
+
+    user_options = [
+        ('build-src=', 'd', "directory to \"build\" sources to"),
+        ('f2py-opts=', None, "list of f2py command line options"),
+        ('swig=', None, "path to the SWIG executable"),
+        ('swig-opts=', None, "list of SWIG command line options"),
+        ('swig-cpp', None, "make SWIG create C++ files (default is autodetected from sources)"),
+        ('f2pyflags=', None, "additional flags to f2py (use --f2py-opts= instead)"), # obsolete
+        ('swigflags=', None, "additional flags to swig (use --swig-opts= instead)"), # obsolete
+        ('force', 'f', "forcibly build everything (ignore file timestamps)"),
+        ('inplace', 'i',
+         "ignore build-lib and put compiled extensions into the source " +
+         "directory alongside your pure Python modules"),
+        ('verbose-cfg', None,
+         "change logging level from WARN to INFO which will show all " +
+         "compiler output")
+        ]
+
+    boolean_options = ['force', 'inplace', 'verbose-cfg']
+
+    help_options = []
+
+    def initialize_options(self):
+        self.extensions = None
+        self.package = None
+        self.py_modules = None
+        self.py_modules_dict = None
+        self.build_src = None
+        self.build_lib = None
+        self.build_base = None
+        self.force = None
+        self.inplace = None
+        self.package_dir = None
+        self.f2pyflags = None # obsolete
+        self.f2py_opts = None
+        self.swigflags = None # obsolete
+        self.swig_opts = None
+        self.swig_cpp = None
+        self.swig = None
+        self.verbose_cfg = None
+
+    def finalize_options(self):
+        self.set_undefined_options('build',
+                                   ('build_base', 'build_base'),
+                                   ('build_lib', 'build_lib'),
+                                   ('force', 'force'))
+        if self.package is None:
+            self.package = self.distribution.ext_package
+        self.extensions = self.distribution.ext_modules
+        self.libraries = self.distribution.libraries or []
+        self.py_modules = self.distribution.py_modules or []
+        self.data_files = self.distribution.data_files or []
+
+        if self.build_src is None:
+            plat_specifier = ".{}-{}.{}".format(get_platform(), *sys.version_info[:2])
+            self.build_src = os.path.join(self.build_base, 'src'+plat_specifier)
+
+        # py_modules_dict is used in build_py.find_package_modules
+        self.py_modules_dict = {}
+
+        if self.f2pyflags:
+            if self.f2py_opts:
+                log.warn('ignoring --f2pyflags as --f2py-opts already used')
+            else:
+                self.f2py_opts = self.f2pyflags
+            self.f2pyflags = None
+        if self.f2py_opts is None:
+            self.f2py_opts = []
+        else:
+            self.f2py_opts = shlex.split(self.f2py_opts)
+
+        if self.swigflags:
+            if self.swig_opts:
+                log.warn('ignoring --swigflags as --swig-opts already used')
+            else:
+                self.swig_opts = self.swigflags
+            self.swigflags = None
+
+        if self.swig_opts is None:
+            self.swig_opts = []
+        else:
+            self.swig_opts = shlex.split(self.swig_opts)
+
+        # use options from build_ext command
+        build_ext = self.get_finalized_command('build_ext')
+        if self.inplace is None:
+            self.inplace = build_ext.inplace
+        if self.swig_cpp is None:
+            self.swig_cpp = build_ext.swig_cpp
+        for c in ['swig', 'swig_opt']:
+            o = '--'+c.replace('_', '-')
+            v = getattr(build_ext, c, None)
+            if v:
+                if getattr(self, c):
+                    log.warn('both build_src and build_ext define %s option' % (o))
+                else:
+                    log.info('using "%s=%s" option from build_ext command' % (o, v))
+                    setattr(self, c, v)
+
+    def run(self):
+        log.info("build_src")
+        if not (self.extensions or self.libraries):
+            return
+        self.build_sources()
+
+    def build_sources(self):
+
+        if self.inplace:
+            self.get_package_dir = \
+                     self.get_finalized_command('build_py').get_package_dir
+
+        self.build_py_modules_sources()
+
+        for libname_info in self.libraries:
+            self.build_library_sources(*libname_info)
+
+        if self.extensions:
+            self.check_extensions_list(self.extensions)
+
+            for ext in self.extensions:
+                self.build_extension_sources(ext)
+
+        self.build_data_files_sources()
+        self.build_npy_pkg_config()
+
+    def build_data_files_sources(self):
+        if not self.data_files:
+            return
+        log.info('building data_files sources')
+        from numpy.distutils.misc_util import get_data_files
+        new_data_files = []
+        for data in self.data_files:
+            if isinstance(data, str):
+                new_data_files.append(data)
+            elif isinstance(data, tuple):
+                d, files = data
+                if self.inplace:
+                    build_dir = self.get_package_dir('.'.join(d.split(os.sep)))
+                else:
+                    build_dir = os.path.join(self.build_src, d)
+                funcs = [f for f in files if hasattr(f, '__call__')]
+                files = [f for f in files if not hasattr(f, '__call__')]
+                for f in funcs:
+                    if f.__code__.co_argcount==1:
+                        s = f(build_dir)
+                    else:
+                        s = f()
+                    if s is not None:
+                        if isinstance(s, list):
+                            files.extend(s)
+                        elif isinstance(s, str):
+                            files.append(s)
+                        else:
+                            raise TypeError(repr(s))
+                filenames = get_data_files((d, files))
+                new_data_files.append((d, filenames))
+            else:
+                raise TypeError(repr(data))
+        self.data_files[:] = new_data_files
+
+
+    def _build_npy_pkg_config(self, info, gd):
+        template, install_dir, subst_dict = info
+        template_dir = os.path.dirname(template)
+        for k, v in gd.items():
+            subst_dict[k] = v
+
+        if self.inplace == 1:
+            generated_dir = os.path.join(template_dir, install_dir)
+        else:
+            generated_dir = os.path.join(self.build_src, template_dir,
+                    install_dir)
+        generated = os.path.basename(os.path.splitext(template)[0])
+        generated_path = os.path.join(generated_dir, generated)
+        if not os.path.exists(generated_dir):
+            os.makedirs(generated_dir)
+
+        subst_vars(generated_path, template, subst_dict)
+
+        # Where to install relatively to install prefix
+        full_install_dir = os.path.join(template_dir, install_dir)
+        return full_install_dir, generated_path
+
+    def build_npy_pkg_config(self):
+        log.info('build_src: building npy-pkg config files')
+
+        # XXX: another ugly workaround to circumvent distutils brain damage. We
+        # need the install prefix here, but finalizing the options of the
+        # install command when only building sources cause error. Instead, we
+        # copy the install command instance, and finalize the copy so that it
+        # does not disrupt how distutils want to do things when with the
+        # original install command instance.
+        install_cmd = copy.copy(get_cmd('install'))
+        if not install_cmd.finalized == 1:
+            install_cmd.finalize_options()
+        build_npkg = False
+        if self.inplace == 1:
+            top_prefix = '.'
+            build_npkg = True
+        elif hasattr(install_cmd, 'install_libbase'):
+            top_prefix = install_cmd.install_libbase
+            build_npkg = True
+
+        if build_npkg:
+            for pkg, infos in self.distribution.installed_pkg_config.items():
+                pkg_path = self.distribution.package_dir[pkg]
+                prefix = os.path.join(os.path.abspath(top_prefix), pkg_path)
+                d = {'prefix': prefix}
+                for info in infos:
+                    install_dir, generated = self._build_npy_pkg_config(info, d)
+                    self.distribution.data_files.append((install_dir,
+                        [generated]))
+
+    def build_py_modules_sources(self):
+        if not self.py_modules:
+            return
+        log.info('building py_modules sources')
+        new_py_modules = []
+        for source in self.py_modules:
+            if is_sequence(source) and len(source)==3:
+                package, module_base, source = source
+                if self.inplace:
+                    build_dir = self.get_package_dir(package)
+                else:
+                    build_dir = os.path.join(self.build_src,
+                                             os.path.join(*package.split('.')))
+                if hasattr(source, '__call__'):
+                    target = os.path.join(build_dir, module_base + '.py')
+                    source = source(target)
+                if source is None:
+                    continue
+                modules = [(package, module_base, source)]
+                if package not in self.py_modules_dict:
+                    self.py_modules_dict[package] = []
+                self.py_modules_dict[package] += modules
+            else:
+                new_py_modules.append(source)
+        self.py_modules[:] = new_py_modules
+
+    def build_library_sources(self, lib_name, build_info):
+        sources = list(build_info.get('sources', []))
+
+        if not sources:
+            return
+
+        log.info('building library "%s" sources' % (lib_name))
+
+        sources = self.generate_sources(sources, (lib_name, build_info))
+
+        sources = self.template_sources(sources, (lib_name, build_info))
+
+        sources, h_files = self.filter_h_files(sources)
+
+        if h_files:
+            log.info('%s - nothing done with h_files = %s',
+                     self.package, h_files)
+
+        #for f in h_files:
+        #    self.distribution.headers.append((lib_name,f))
+
+        build_info['sources'] = sources
+        return
+
+    def build_extension_sources(self, ext):
+
+        sources = list(ext.sources)
+
+        log.info('building extension "%s" sources' % (ext.name))
+
+        fullname = self.get_ext_fullname(ext.name)
+
+        modpath = fullname.split('.')
+        package = '.'.join(modpath[0:-1])
+
+        if self.inplace:
+            self.ext_target_dir = self.get_package_dir(package)
+
+        sources = self.generate_sources(sources, ext)
+        sources = self.template_sources(sources, ext)
+        sources = self.swig_sources(sources, ext)
+        sources = self.f2py_sources(sources, ext)
+        sources = self.pyrex_sources(sources, ext)
+
+        sources, py_files = self.filter_py_files(sources)
+
+        if package not in self.py_modules_dict:
+            self.py_modules_dict[package] = []
+        modules = []
+        for f in py_files:
+            module = os.path.splitext(os.path.basename(f))[0]
+            modules.append((package, module, f))
+        self.py_modules_dict[package] += modules
+
+        sources, h_files = self.filter_h_files(sources)
+
+        if h_files:
+            log.info('%s - nothing done with h_files = %s',
+                     package, h_files)
+        #for f in h_files:
+        #    self.distribution.headers.append((package,f))
+
+        ext.sources = sources
+
+    def generate_sources(self, sources, extension):
+        new_sources = []
+        func_sources = []
+        for source in sources:
+            if is_string(source):
+                new_sources.append(source)
+            else:
+                func_sources.append(source)
+        if not func_sources:
+            return new_sources
+        if self.inplace and not is_sequence(extension):
+            build_dir = self.ext_target_dir
+        else:
+            if is_sequence(extension):
+                name = extension[0]
+            #    if 'include_dirs' not in extension[1]:
+            #        extension[1]['include_dirs'] = []
+            #    incl_dirs = extension[1]['include_dirs']
+            else:
+                name = extension.name
+            #    incl_dirs = extension.include_dirs
+            #if self.build_src not in incl_dirs:
+            #    incl_dirs.append(self.build_src)
+            build_dir = os.path.join(*([self.build_src]
+                                       +name.split('.')[:-1]))
+        self.mkpath(build_dir)
+
+        if self.verbose_cfg:
+            new_level = log.INFO
+        else:
+            new_level = log.WARN
+        old_level = log.set_threshold(new_level)
+
+        for func in func_sources:
+            source = func(extension, build_dir)
+            if not source:
+                continue
+            if is_sequence(source):
+                [log.info("  adding '%s' to sources." % (s,)) for s in source]
+                new_sources.extend(source)
+            else:
+                log.info("  adding '%s' to sources." % (source,))
+                new_sources.append(source)
+        log.set_threshold(old_level)
+        return new_sources
+
+    def filter_py_files(self, sources):
+        return self.filter_files(sources, ['.py'])
+
+    def filter_h_files(self, sources):
+        return self.filter_files(sources, ['.h', '.hpp', '.inc'])
+
+    def filter_files(self, sources, exts = []):
+        new_sources = []
+        files = []
+        for source in sources:
+            (base, ext) = os.path.splitext(source)
+            if ext in exts:
+                files.append(source)
+            else:
+                new_sources.append(source)
+        return new_sources, files
+
+    def template_sources(self, sources, extension):
+        new_sources = []
+        if is_sequence(extension):
+            depends = extension[1].get('depends')
+            include_dirs = extension[1].get('include_dirs')
+        else:
+            depends = extension.depends
+            include_dirs = extension.include_dirs
+        for source in sources:
+            (base, ext) = os.path.splitext(source)
+            if ext == '.src':  # Template file
+                if self.inplace:
+                    target_dir = os.path.dirname(base)
+                else:
+                    target_dir = appendpath(self.build_src, os.path.dirname(base))
+                self.mkpath(target_dir)
+                target_file = os.path.join(target_dir, os.path.basename(base))
+                if (self.force or newer_group([source] + depends, target_file)):
+                    if _f_pyf_ext_match(base):
+                        log.info("from_template:> %s" % (target_file))
+                        outstr = process_f_file(source)
+                    else:
+                        log.info("conv_template:> %s" % (target_file))
+                        outstr = process_c_file(source)
+                    with open(target_file, 'w') as fid:
+                        fid.write(outstr)
+                if _header_ext_match(target_file):
+                    d = os.path.dirname(target_file)
+                    if d not in include_dirs:
+                        log.info("  adding '%s' to include_dirs." % (d))
+                        include_dirs.append(d)
+                new_sources.append(target_file)
+            else:
+                new_sources.append(source)
+        return new_sources
+
+    def pyrex_sources(self, sources, extension):
+        """Pyrex not supported; this remains for Cython support (see below)"""
+        new_sources = []
+        ext_name = extension.name.split('.')[-1]
+        for source in sources:
+            (base, ext) = os.path.splitext(source)
+            if ext == '.pyx':
+                target_file = self.generate_a_pyrex_source(base, ext_name,
+                                                           source,
+                                                           extension)
+                new_sources.append(target_file)
+            else:
+                new_sources.append(source)
+        return new_sources
+
+    def generate_a_pyrex_source(self, base, ext_name, source, extension):
+        """Pyrex is not supported, but some projects monkeypatch this method.
+
+        That allows compiling Cython code, see gh-6955.
+        This method will remain here for compatibility reasons.
+        """
+        return []
+
+    def f2py_sources(self, sources, extension):
+        new_sources = []
+        f2py_sources = []
+        f_sources = []
+        f2py_targets = {}
+        target_dirs = []
+        ext_name = extension.name.split('.')[-1]
+        skip_f2py = 0
+
+        for source in sources:
+            (base, ext) = os.path.splitext(source)
+            if ext == '.pyf': # F2PY interface file
+                if self.inplace:
+                    target_dir = os.path.dirname(base)
+                else:
+                    target_dir = appendpath(self.build_src, os.path.dirname(base))
+                if os.path.isfile(source):
+                    name = get_f2py_modulename(source)
+                    if name != ext_name:
+                        raise DistutilsSetupError('mismatch of extension names: %s '
+                                                  'provides %r but expected %r' % (
+                            source, name, ext_name))
+                    target_file = os.path.join(target_dir, name+'module.c')
+                else:
+                    log.debug('  source %s does not exist: skipping f2py\'ing.' \
+                              % (source))
+                    name = ext_name
+                    skip_f2py = 1
+                    target_file = os.path.join(target_dir, name+'module.c')
+                    if not os.path.isfile(target_file):
+                        log.warn('  target %s does not exist:\n   '\
+                                 'Assuming %smodule.c was generated with '\
+                                 '"build_src --inplace" command.' \
+                                 % (target_file, name))
+                        target_dir = os.path.dirname(base)
+                        target_file = os.path.join(target_dir, name+'module.c')
+                        if not os.path.isfile(target_file):
+                            raise DistutilsSetupError("%r missing" % (target_file,))
+                        log.info('   Yes! Using %r as up-to-date target.' \
+                                 % (target_file))
+                target_dirs.append(target_dir)
+                f2py_sources.append(source)
+                f2py_targets[source] = target_file
+                new_sources.append(target_file)
+            elif fortran_ext_match(ext):
+                f_sources.append(source)
+            else:
+                new_sources.append(source)
+
+        if not (f2py_sources or f_sources):
+            return new_sources
+
+        for d in target_dirs:
+            self.mkpath(d)
+
+        f2py_options = extension.f2py_options + self.f2py_opts
+
+        if self.distribution.libraries:
+            for name, build_info in self.distribution.libraries:
+                if name in extension.libraries:
+                    f2py_options.extend(build_info.get('f2py_options', []))
+
+        log.info("f2py options: %s" % (f2py_options))
+
+        if f2py_sources:
+            if len(f2py_sources) != 1:
+                raise DistutilsSetupError(
+                    'only one .pyf file is allowed per extension module but got'\
+                    ' more: %r' % (f2py_sources,))
+            source = f2py_sources[0]
+            target_file = f2py_targets[source]
+            target_dir = os.path.dirname(target_file) or '.'
+            depends = [source] + extension.depends
+            if (self.force or newer_group(depends, target_file, 'newer')) \
+                   and not skip_f2py:
+                log.info("f2py: %s" % (source))
+                from numpy.f2py import f2py2e
+                f2py2e.run_main(f2py_options
+                                    + ['--build-dir', target_dir, source])
+            else:
+                log.debug("  skipping '%s' f2py interface (up-to-date)" % (source))
+        else:
+            #XXX TODO: --inplace support for sdist command
+            if is_sequence(extension):
+                name = extension[0]
+            else: name = extension.name
+            target_dir = os.path.join(*([self.build_src]
+                                        +name.split('.')[:-1]))
+            target_file = os.path.join(target_dir, ext_name + 'module.c')
+            new_sources.append(target_file)
+            depends = f_sources + extension.depends
+            if (self.force or newer_group(depends, target_file, 'newer')) \
+                   and not skip_f2py:
+                log.info("f2py:> %s" % (target_file))
+                self.mkpath(target_dir)
+                from numpy.f2py import f2py2e
+                f2py2e.run_main(f2py_options + ['--lower',
+                                                '--build-dir', target_dir]+\
+                                ['-m', ext_name]+f_sources)
+            else:
+                log.debug("  skipping f2py fortran files for '%s' (up-to-date)"\
+                          % (target_file))
+
+        if not os.path.isfile(target_file):
+            raise DistutilsError("f2py target file %r not generated" % (target_file,))
+
+        build_dir = os.path.join(self.build_src, target_dir)
+        target_c = os.path.join(build_dir, 'fortranobject.c')
+        target_h = os.path.join(build_dir, 'fortranobject.h')
+        log.info("  adding '%s' to sources." % (target_c))
+        new_sources.append(target_c)
+        if build_dir not in extension.include_dirs:
+            log.info("  adding '%s' to include_dirs." % (build_dir))
+            extension.include_dirs.append(build_dir)
+
+        if not skip_f2py:
+            import numpy.f2py
+            d = os.path.dirname(numpy.f2py.__file__)
+            source_c = os.path.join(d, 'src', 'fortranobject.c')
+            source_h = os.path.join(d, 'src', 'fortranobject.h')
+            if newer(source_c, target_c) or newer(source_h, target_h):
+                self.mkpath(os.path.dirname(target_c))
+                self.copy_file(source_c, target_c)
+                self.copy_file(source_h, target_h)
+        else:
+            if not os.path.isfile(target_c):
+                raise DistutilsSetupError("f2py target_c file %r not found" % (target_c,))
+            if not os.path.isfile(target_h):
+                raise DistutilsSetupError("f2py target_h file %r not found" % (target_h,))
+
+        for name_ext in ['-f2pywrappers.f', '-f2pywrappers2.f90']:
+            filename = os.path.join(target_dir, ext_name + name_ext)
+            if os.path.isfile(filename):
+                log.info("  adding '%s' to sources." % (filename))
+                f_sources.append(filename)
+
+        return new_sources + f_sources
+
+    def swig_sources(self, sources, extension):
+        # Assuming SWIG 1.3.14 or later. See compatibility note in
+        #   http://www.swig.org/Doc1.3/Python.html#Python_nn6
+
+        new_sources = []
+        swig_sources = []
+        swig_targets = {}
+        target_dirs = []
+        py_files = []     # swig generated .py files
+        target_ext = '.c'
+        if '-c++' in extension.swig_opts:
+            typ = 'c++'
+            is_cpp = True
+            extension.swig_opts.remove('-c++')
+        elif self.swig_cpp:
+            typ = 'c++'
+            is_cpp = True
+        else:
+            typ = None
+            is_cpp = False
+        skip_swig = 0
+        ext_name = extension.name.split('.')[-1]
+
+        for source in sources:
+            (base, ext) = os.path.splitext(source)
+            if ext == '.i': # SWIG interface file
+                # the code below assumes that the sources list
+                # contains not more than one .i SWIG interface file
+                if self.inplace:
+                    target_dir = os.path.dirname(base)
+                    py_target_dir = self.ext_target_dir
+                else:
+                    target_dir = appendpath(self.build_src, os.path.dirname(base))
+                    py_target_dir = target_dir
+                if os.path.isfile(source):
+                    name = get_swig_modulename(source)
+                    if name != ext_name[1:]:
+                        raise DistutilsSetupError(
+                            'mismatch of extension names: %s provides %r'
+                            ' but expected %r' % (source, name, ext_name[1:]))
+                    if typ is None:
+                        typ = get_swig_target(source)
+                        is_cpp = typ=='c++'
+                    else:
+                        typ2 = get_swig_target(source)
+                        if typ2 is None:
+                            log.warn('source %r does not define swig target, assuming %s swig target' \
+                                     % (source, typ))
+                        elif typ!=typ2:
+                            log.warn('expected %r but source %r defines %r swig target' \
+                                     % (typ, source, typ2))
+                            if typ2=='c++':
+                                log.warn('resetting swig target to c++ (some targets may have .c extension)')
+                                is_cpp = True
+                            else:
+                                log.warn('assuming that %r has c++ swig target' % (source))
+                    if is_cpp:
+                        target_ext = '.cpp'
+                    target_file = os.path.join(target_dir, '%s_wrap%s' \
+                                               % (name, target_ext))
+                else:
+                    log.warn('  source %s does not exist: skipping swig\'ing.' \
+                             % (source))
+                    name = ext_name[1:]
+                    skip_swig = 1
+                    target_file = _find_swig_target(target_dir, name)
+                    if not os.path.isfile(target_file):
+                        log.warn('  target %s does not exist:\n   '\
+                                 'Assuming %s_wrap.{c,cpp} was generated with '\
+                                 '"build_src --inplace" command.' \
+                                 % (target_file, name))
+                        target_dir = os.path.dirname(base)
+                        target_file = _find_swig_target(target_dir, name)
+                        if not os.path.isfile(target_file):
+                            raise DistutilsSetupError("%r missing" % (target_file,))
+                        log.warn('   Yes! Using %r as up-to-date target.' \
+                                 % (target_file))
+                target_dirs.append(target_dir)
+                new_sources.append(target_file)
+                py_files.append(os.path.join(py_target_dir, name+'.py'))
+                swig_sources.append(source)
+                swig_targets[source] = new_sources[-1]
+            else:
+                new_sources.append(source)
+
+        if not swig_sources:
+            return new_sources
+
+        if skip_swig:
+            return new_sources + py_files
+
+        for d in target_dirs:
+            self.mkpath(d)
+
+        swig = self.swig or self.find_swig()
+        swig_cmd = [swig, "-python"] + extension.swig_opts
+        if is_cpp:
+            swig_cmd.append('-c++')
+        for d in extension.include_dirs:
+            swig_cmd.append('-I'+d)
+        for source in swig_sources:
+            target = swig_targets[source]
+            depends = [source] + extension.depends
+            if self.force or newer_group(depends, target, 'newer'):
+                log.info("%s: %s" % (os.path.basename(swig) \
+                                     + (is_cpp and '++' or ''), source))
+                self.spawn(swig_cmd + self.swig_opts \
+                           + ["-o", target, '-outdir', py_target_dir, source])
+            else:
+                log.debug("  skipping '%s' swig interface (up-to-date)" \
+                         % (source))
+
+        return new_sources + py_files
+
+_f_pyf_ext_match = re.compile(r'.*\.(f90|f95|f77|for|ftn|f|pyf)\Z', re.I).match
+_header_ext_match = re.compile(r'.*\.(inc|h|hpp)\Z', re.I).match
+
+#### SWIG related auxiliary functions ####
+_swig_module_name_match = re.compile(r'\s*%module\s*(.*\(\s*package\s*=\s*"(?P[\w_]+)".*\)|)\s*(?P[\w_]+)',
+                                     re.I).match
+_has_c_header = re.compile(r'-\*-\s*c\s*-\*-', re.I).search
+_has_cpp_header = re.compile(r'-\*-\s*c\+\+\s*-\*-', re.I).search
+
+def get_swig_target(source):
+    with open(source) as f:
+        result = None
+        line = f.readline()
+        if _has_cpp_header(line):
+            result = 'c++'
+        if _has_c_header(line):
+            result = 'c'
+    return result
+
+def get_swig_modulename(source):
+    with open(source) as f:
+        name = None
+        for line in f:
+            m = _swig_module_name_match(line)
+            if m:
+                name = m.group('name')
+                break
+    return name
+
+def _find_swig_target(target_dir, name):
+    for ext in ['.cpp', '.c']:
+        target = os.path.join(target_dir, '%s_wrap%s' % (name, ext))
+        if os.path.isfile(target):
+            break
+    return target
+
+#### F2PY related auxiliary functions ####
+
+_f2py_module_name_match = re.compile(r'\s*python\s*module\s*(?P[\w_]+)',
+                                     re.I).match
+_f2py_user_module_name_match = re.compile(r'\s*python\s*module\s*(?P[\w_]*?'
+                                          r'__user__[\w_]*)', re.I).match
+
+def get_f2py_modulename(source):
+    name = None
+    with open(source) as f:
+        for line in f:
+            m = _f2py_module_name_match(line)
+            if m:
+                if _f2py_user_module_name_match(line): # skip *__user__* names
+                    continue
+                name = m.group('name')
+                break
+    return name
+
+##########################################
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/config.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/config.py
new file mode 100644
index 0000000000000000000000000000000000000000..8bdfb7ec582394e557786c07c773662952fcd2fc
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/config.py
@@ -0,0 +1,516 @@
+# Added Fortran compiler support to config. Currently useful only for
+# try_compile call. try_run works but is untested for most of Fortran
+# compilers (they must define linker_exe first).
+# Pearu Peterson
+import os
+import signal
+import subprocess
+import sys
+import textwrap
+import warnings
+
+from distutils.command.config import config as old_config
+from distutils.command.config import LANG_EXT
+from distutils import log
+from distutils.file_util import copy_file
+from distutils.ccompiler import CompileError, LinkError
+import distutils
+from numpy.distutils.exec_command import filepath_from_subprocess_output
+from numpy.distutils.mingw32ccompiler import generate_manifest
+from numpy.distutils.command.autodist import (check_gcc_function_attribute,
+                                              check_gcc_function_attribute_with_intrinsics,
+                                              check_gcc_variable_attribute,
+                                              check_gcc_version_at_least,
+                                              check_inline,
+                                              check_restrict,
+                                              check_compiler_gcc)
+
+LANG_EXT['f77'] = '.f'
+LANG_EXT['f90'] = '.f90'
+
+class config(old_config):
+    old_config.user_options += [
+        ('fcompiler=', None, "specify the Fortran compiler type"),
+        ]
+
+    def initialize_options(self):
+        self.fcompiler = None
+        old_config.initialize_options(self)
+
+    def _check_compiler (self):
+        old_config._check_compiler(self)
+        from numpy.distutils.fcompiler import FCompiler, new_fcompiler
+
+        if sys.platform == 'win32' and (self.compiler.compiler_type in
+                                        ('msvc', 'intelw', 'intelemw')):
+            # XXX: hack to circumvent a python 2.6 bug with msvc9compiler:
+            # initialize call query_vcvarsall, which throws an OSError, and
+            # causes an error along the way without much information. We try to
+            # catch it here, hoping it is early enough, and print a helpful
+            # message instead of Error: None.
+            if not self.compiler.initialized:
+                try:
+                    self.compiler.initialize()
+                except OSError as e:
+                    msg = textwrap.dedent("""\
+                        Could not initialize compiler instance: do you have Visual Studio
+                        installed?  If you are trying to build with MinGW, please use "python setup.py
+                        build -c mingw32" instead.  If you have Visual Studio installed, check it is
+                        correctly installed, and the right version (VS 2015 as of this writing).
+
+                        Original exception was: %s, and the Compiler class was %s
+                        ============================================================================""") \
+                        % (e, self.compiler.__class__.__name__)
+                    print(textwrap.dedent("""\
+                        ============================================================================"""))
+                    raise distutils.errors.DistutilsPlatformError(msg) from e
+
+            # After MSVC is initialized, add an explicit /MANIFEST to linker
+            # flags.  See issues gh-4245 and gh-4101 for details.  Also
+            # relevant are issues 4431 and 16296 on the Python bug tracker.
+            from distutils import msvc9compiler
+            if msvc9compiler.get_build_version() >= 10:
+                for ldflags in [self.compiler.ldflags_shared,
+                                self.compiler.ldflags_shared_debug]:
+                    if '/MANIFEST' not in ldflags:
+                        ldflags.append('/MANIFEST')
+
+        if not isinstance(self.fcompiler, FCompiler):
+            self.fcompiler = new_fcompiler(compiler=self.fcompiler,
+                                           dry_run=self.dry_run, force=1,
+                                           c_compiler=self.compiler)
+            if self.fcompiler is not None:
+                self.fcompiler.customize(self.distribution)
+                if self.fcompiler.get_version():
+                    self.fcompiler.customize_cmd(self)
+                    self.fcompiler.show_customization()
+
+    def _wrap_method(self, mth, lang, args):
+        from distutils.ccompiler import CompileError
+        from distutils.errors import DistutilsExecError
+        save_compiler = self.compiler
+        if lang in ['f77', 'f90']:
+            self.compiler = self.fcompiler
+        if self.compiler is None:
+            raise CompileError('%s compiler is not set' % (lang,))
+        try:
+            ret = mth(*((self,)+args))
+        except (DistutilsExecError, CompileError) as e:
+            self.compiler = save_compiler
+            raise CompileError from e
+        self.compiler = save_compiler
+        return ret
+
+    def _compile (self, body, headers, include_dirs, lang):
+        src, obj = self._wrap_method(old_config._compile, lang,
+                                     (body, headers, include_dirs, lang))
+        # _compile in unixcompiler.py sometimes creates .d dependency files.
+        # Clean them up.
+        self.temp_files.append(obj + '.d')
+        return src, obj
+
+    def _link (self, body,
+               headers, include_dirs,
+               libraries, library_dirs, lang):
+        if self.compiler.compiler_type=='msvc':
+            libraries = (libraries or [])[:]
+            library_dirs = (library_dirs or [])[:]
+            if lang in ['f77', 'f90']:
+                lang = 'c' # always use system linker when using MSVC compiler
+                if self.fcompiler:
+                    for d in self.fcompiler.library_dirs or []:
+                        # correct path when compiling in Cygwin but with
+                        # normal Win Python
+                        if d.startswith('/usr/lib'):
+                            try:
+                                d = subprocess.check_output(['cygpath',
+                                                             '-w', d])
+                            except (OSError, subprocess.CalledProcessError):
+                                pass
+                            else:
+                                d = filepath_from_subprocess_output(d)
+                        library_dirs.append(d)
+                    for libname in self.fcompiler.libraries or []:
+                        if libname not in libraries:
+                            libraries.append(libname)
+            for libname in libraries:
+                if libname.startswith('msvc'): continue
+                fileexists = False
+                for libdir in library_dirs or []:
+                    libfile = os.path.join(libdir, '%s.lib' % (libname))
+                    if os.path.isfile(libfile):
+                        fileexists = True
+                        break
+                if fileexists: continue
+                # make g77-compiled static libs available to MSVC
+                fileexists = False
+                for libdir in library_dirs:
+                    libfile = os.path.join(libdir, 'lib%s.a' % (libname))
+                    if os.path.isfile(libfile):
+                        # copy libname.a file to name.lib so that MSVC linker
+                        # can find it
+                        libfile2 = os.path.join(libdir, '%s.lib' % (libname))
+                        copy_file(libfile, libfile2)
+                        self.temp_files.append(libfile2)
+                        fileexists = True
+                        break
+                if fileexists: continue
+                log.warn('could not find library %r in directories %s' \
+                         % (libname, library_dirs))
+        elif self.compiler.compiler_type == 'mingw32':
+            generate_manifest(self)
+        return self._wrap_method(old_config._link, lang,
+                                 (body, headers, include_dirs,
+                                  libraries, library_dirs, lang))
+
+    def check_header(self, header, include_dirs=None, library_dirs=None, lang='c'):
+        self._check_compiler()
+        return self.try_compile(
+                "/* we need a dummy line to make distutils happy */",
+                [header], include_dirs)
+
+    def check_decl(self, symbol,
+                   headers=None, include_dirs=None):
+        self._check_compiler()
+        body = textwrap.dedent("""
+            int main(void)
+            {
+            #ifndef %s
+                (void) %s;
+            #endif
+                ;
+                return 0;
+            }""") % (symbol, symbol)
+
+        return self.try_compile(body, headers, include_dirs)
+
+    def check_macro_true(self, symbol,
+                         headers=None, include_dirs=None):
+        self._check_compiler()
+        body = textwrap.dedent("""
+            int main(void)
+            {
+            #if %s
+            #else
+            #error false or undefined macro
+            #endif
+                ;
+                return 0;
+            }""") % (symbol,)
+
+        return self.try_compile(body, headers, include_dirs)
+
+    def check_type(self, type_name, headers=None, include_dirs=None,
+            library_dirs=None):
+        """Check type availability. Return True if the type can be compiled,
+        False otherwise"""
+        self._check_compiler()
+
+        # First check the type can be compiled
+        body = textwrap.dedent(r"""
+            int main(void) {
+              if ((%(name)s *) 0)
+                return 0;
+              if (sizeof (%(name)s))
+                return 0;
+            }
+            """) % {'name': type_name}
+
+        st = False
+        try:
+            try:
+                self._compile(body % {'type': type_name},
+                        headers, include_dirs, 'c')
+                st = True
+            except distutils.errors.CompileError:
+                st = False
+        finally:
+            self._clean()
+
+        return st
+
+    def check_type_size(self, type_name, headers=None, include_dirs=None, library_dirs=None, expected=None):
+        """Check size of a given type."""
+        self._check_compiler()
+
+        # First check the type can be compiled
+        body = textwrap.dedent(r"""
+            typedef %(type)s npy_check_sizeof_type;
+            int main (void)
+            {
+                static int test_array [1 - 2 * !(((long) (sizeof (npy_check_sizeof_type))) >= 0)];
+                test_array [0] = 0
+
+                ;
+                return 0;
+            }
+            """)
+        self._compile(body % {'type': type_name},
+                headers, include_dirs, 'c')
+        self._clean()
+
+        if expected:
+            body = textwrap.dedent(r"""
+                typedef %(type)s npy_check_sizeof_type;
+                int main (void)
+                {
+                    static int test_array [1 - 2 * !(((long) (sizeof (npy_check_sizeof_type))) == %(size)s)];
+                    test_array [0] = 0
+
+                    ;
+                    return 0;
+                }
+                """)
+            for size in expected:
+                try:
+                    self._compile(body % {'type': type_name, 'size': size},
+                            headers, include_dirs, 'c')
+                    self._clean()
+                    return size
+                except CompileError:
+                    pass
+
+        # this fails to *compile* if size > sizeof(type)
+        body = textwrap.dedent(r"""
+            typedef %(type)s npy_check_sizeof_type;
+            int main (void)
+            {
+                static int test_array [1 - 2 * !(((long) (sizeof (npy_check_sizeof_type))) <= %(size)s)];
+                test_array [0] = 0
+
+                ;
+                return 0;
+            }
+            """)
+
+        # The principle is simple: we first find low and high bounds of size
+        # for the type, where low/high are looked up on a log scale. Then, we
+        # do a binary search to find the exact size between low and high
+        low = 0
+        mid = 0
+        while True:
+            try:
+                self._compile(body % {'type': type_name, 'size': mid},
+                        headers, include_dirs, 'c')
+                self._clean()
+                break
+            except CompileError:
+                #log.info("failure to test for bound %d" % mid)
+                low = mid + 1
+                mid = 2 * mid + 1
+
+        high = mid
+        # Binary search:
+        while low != high:
+            mid = (high - low) // 2 + low
+            try:
+                self._compile(body % {'type': type_name, 'size': mid},
+                        headers, include_dirs, 'c')
+                self._clean()
+                high = mid
+            except CompileError:
+                low = mid + 1
+        return low
+
+    def check_func(self, func,
+                   headers=None, include_dirs=None,
+                   libraries=None, library_dirs=None,
+                   decl=False, call=False, call_args=None):
+        # clean up distutils's config a bit: add void to main(), and
+        # return a value.
+        self._check_compiler()
+        body = []
+        if decl:
+            if type(decl) == str:
+                body.append(decl)
+            else:
+                body.append("int %s (void);" % func)
+        # Handle MSVC intrinsics: force MS compiler to make a function call.
+        # Useful to test for some functions when built with optimization on, to
+        # avoid build error because the intrinsic and our 'fake' test
+        # declaration do not match.
+        body.append("#ifdef _MSC_VER")
+        body.append("#pragma function(%s)" % func)
+        body.append("#endif")
+        body.append("int main (void) {")
+        if call:
+            if call_args is None:
+                call_args = ''
+            body.append("  %s(%s);" % (func, call_args))
+        else:
+            body.append("  %s;" % func)
+        body.append("  return 0;")
+        body.append("}")
+        body = '\n'.join(body) + "\n"
+
+        return self.try_link(body, headers, include_dirs,
+                             libraries, library_dirs)
+
+    def check_funcs_once(self, funcs,
+                   headers=None, include_dirs=None,
+                   libraries=None, library_dirs=None,
+                   decl=False, call=False, call_args=None):
+        """Check a list of functions at once.
+
+        This is useful to speed up things, since all the functions in the funcs
+        list will be put in one compilation unit.
+
+        Arguments
+        ---------
+        funcs : seq
+            list of functions to test
+        include_dirs : seq
+            list of header paths
+        libraries : seq
+            list of libraries to link the code snippet to
+        library_dirs : seq
+            list of library paths
+        decl : dict
+            for every (key, value), the declaration in the value will be
+            used for function in key. If a function is not in the
+            dictionary, no declaration will be used.
+        call : dict
+            for every item (f, value), if the value is True, a call will be
+            done to the function f.
+        """
+        self._check_compiler()
+        body = []
+        if decl:
+            for f, v in decl.items():
+                if v:
+                    body.append("int %s (void);" % f)
+
+        # Handle MS intrinsics. See check_func for more info.
+        body.append("#ifdef _MSC_VER")
+        for func in funcs:
+            body.append("#pragma function(%s)" % func)
+        body.append("#endif")
+
+        body.append("int main (void) {")
+        if call:
+            for f in funcs:
+                if f in call and call[f]:
+                    if not (call_args and f in call_args and call_args[f]):
+                        args = ''
+                    else:
+                        args = call_args[f]
+                    body.append("  %s(%s);" % (f, args))
+                else:
+                    body.append("  %s;" % f)
+        else:
+            for f in funcs:
+                body.append("  %s;" % f)
+        body.append("  return 0;")
+        body.append("}")
+        body = '\n'.join(body) + "\n"
+
+        return self.try_link(body, headers, include_dirs,
+                             libraries, library_dirs)
+
+    def check_inline(self):
+        """Return the inline keyword recognized by the compiler, empty string
+        otherwise."""
+        return check_inline(self)
+
+    def check_restrict(self):
+        """Return the restrict keyword recognized by the compiler, empty string
+        otherwise."""
+        return check_restrict(self)
+
+    def check_compiler_gcc(self):
+        """Return True if the C compiler is gcc"""
+        return check_compiler_gcc(self)
+
+    def check_gcc_function_attribute(self, attribute, name):
+        return check_gcc_function_attribute(self, attribute, name)
+
+    def check_gcc_function_attribute_with_intrinsics(self, attribute, name,
+                                                     code, include):
+        return check_gcc_function_attribute_with_intrinsics(self, attribute,
+                                                            name, code, include)
+
+    def check_gcc_variable_attribute(self, attribute):
+        return check_gcc_variable_attribute(self, attribute)
+
+    def check_gcc_version_at_least(self, major, minor=0, patchlevel=0):
+        """Return True if the GCC version is greater than or equal to the
+        specified version."""
+        return check_gcc_version_at_least(self, major, minor, patchlevel)
+
+    def get_output(self, body, headers=None, include_dirs=None,
+                   libraries=None, library_dirs=None,
+                   lang="c", use_tee=None):
+        """Try to compile, link to an executable, and run a program
+        built from 'body' and 'headers'. Returns the exit status code
+        of the program and its output.
+        """
+        # 2008-11-16, RemoveMe
+        warnings.warn("\n+++++++++++++++++++++++++++++++++++++++++++++++++\n"
+                      "Usage of get_output is deprecated: please do not \n"
+                      "use it anymore, and avoid configuration checks \n"
+                      "involving running executable on the target machine.\n"
+                      "+++++++++++++++++++++++++++++++++++++++++++++++++\n",
+                      DeprecationWarning, stacklevel=2)
+        self._check_compiler()
+        exitcode, output = 255, ''
+        try:
+            grabber = GrabStdout()
+            try:
+                src, obj, exe = self._link(body, headers, include_dirs,
+                                           libraries, library_dirs, lang)
+                grabber.restore()
+            except Exception:
+                output = grabber.data
+                grabber.restore()
+                raise
+            exe = os.path.join('.', exe)
+            try:
+                # specify cwd arg for consistency with
+                # historic usage pattern of exec_command()
+                # also, note that exe appears to be a string,
+                # which exec_command() handled, but we now
+                # use a list for check_output() -- this assumes
+                # that exe is always a single command
+                output = subprocess.check_output([exe], cwd='.')
+            except subprocess.CalledProcessError as exc:
+                exitstatus = exc.returncode
+                output = ''
+            except OSError:
+                # preserve the EnvironmentError exit status
+                # used historically in exec_command()
+                exitstatus = 127
+                output = ''
+            else:
+                output = filepath_from_subprocess_output(output)
+            if hasattr(os, 'WEXITSTATUS'):
+                exitcode = os.WEXITSTATUS(exitstatus)
+                if os.WIFSIGNALED(exitstatus):
+                    sig = os.WTERMSIG(exitstatus)
+                    log.error('subprocess exited with signal %d' % (sig,))
+                    if sig == signal.SIGINT:
+                        # control-C
+                        raise KeyboardInterrupt
+            else:
+                exitcode = exitstatus
+            log.info("success!")
+        except (CompileError, LinkError):
+            log.info("failure.")
+        self._clean()
+        return exitcode, output
+
+class GrabStdout:
+
+    def __init__(self):
+        self.sys_stdout = sys.stdout
+        self.data = ''
+        sys.stdout = self
+
+    def write (self, data):
+        self.sys_stdout.write(data)
+        self.data += data
+
+    def flush (self):
+        self.sys_stdout.flush()
+
+    def restore(self):
+        sys.stdout = self.sys_stdout
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/config_compiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/config_compiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..ca4099886d8c67e4c3a02454a746c2e388dfdbf1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/config_compiler.py
@@ -0,0 +1,126 @@
+from distutils.core import Command
+from numpy.distutils import log
+
+#XXX: Linker flags
+
+def show_fortran_compilers(_cache=None):
+    # Using cache to prevent infinite recursion.
+    if _cache:
+        return
+    elif _cache is None:
+        _cache = []
+    _cache.append(1)
+    from numpy.distutils.fcompiler import show_fcompilers
+    import distutils.core
+    dist = distutils.core._setup_distribution
+    show_fcompilers(dist)
+
+class config_fc(Command):
+    """ Distutils command to hold user specified options
+    to Fortran compilers.
+
+    config_fc command is used by the FCompiler.customize() method.
+    """
+
+    description = "specify Fortran 77/Fortran 90 compiler information"
+
+    user_options = [
+        ('fcompiler=', None, "specify Fortran compiler type"),
+        ('f77exec=', None, "specify F77 compiler command"),
+        ('f90exec=', None, "specify F90 compiler command"),
+        ('f77flags=', None, "specify F77 compiler flags"),
+        ('f90flags=', None, "specify F90 compiler flags"),
+        ('opt=', None, "specify optimization flags"),
+        ('arch=', None, "specify architecture specific optimization flags"),
+        ('debug', 'g', "compile with debugging information"),
+        ('noopt', None, "compile without optimization"),
+        ('noarch', None, "compile without arch-dependent optimization"),
+        ]
+
+    help_options = [
+        ('help-fcompiler', None, "list available Fortran compilers",
+         show_fortran_compilers),
+        ]
+
+    boolean_options = ['debug', 'noopt', 'noarch']
+
+    def initialize_options(self):
+        self.fcompiler = None
+        self.f77exec = None
+        self.f90exec = None
+        self.f77flags = None
+        self.f90flags = None
+        self.opt = None
+        self.arch = None
+        self.debug = None
+        self.noopt = None
+        self.noarch = None
+
+    def finalize_options(self):
+        log.info('unifying config_fc, config, build_clib, build_ext, build commands --fcompiler options')
+        build_clib = self.get_finalized_command('build_clib')
+        build_ext = self.get_finalized_command('build_ext')
+        config = self.get_finalized_command('config')
+        build = self.get_finalized_command('build')
+        cmd_list = [self, config, build_clib, build_ext, build]
+        for a in ['fcompiler']:
+            l = []
+            for c in cmd_list:
+                v = getattr(c, a)
+                if v is not None:
+                    if not isinstance(v, str): v = v.compiler_type
+                    if v not in l: l.append(v)
+            if not l: v1 = None
+            else: v1 = l[0]
+            if len(l)>1:
+                log.warn('  commands have different --%s options: %s'\
+                         ', using first in list as default' % (a, l))
+            if v1:
+                for c in cmd_list:
+                    if getattr(c, a) is None: setattr(c, a, v1)
+
+    def run(self):
+        # Do nothing.
+        return
+
+class config_cc(Command):
+    """ Distutils command to hold user specified options
+    to C/C++ compilers.
+    """
+
+    description = "specify C/C++ compiler information"
+
+    user_options = [
+        ('compiler=', None, "specify C/C++ compiler type"),
+        ]
+
+    def initialize_options(self):
+        self.compiler = None
+
+    def finalize_options(self):
+        log.info('unifying config_cc, config, build_clib, build_ext, build commands --compiler options')
+        build_clib = self.get_finalized_command('build_clib')
+        build_ext = self.get_finalized_command('build_ext')
+        config = self.get_finalized_command('config')
+        build = self.get_finalized_command('build')
+        cmd_list = [self, config, build_clib, build_ext, build]
+        for a in ['compiler']:
+            l = []
+            for c in cmd_list:
+                v = getattr(c, a)
+                if v is not None:
+                    if not isinstance(v, str): v = v.compiler_type
+                    if v not in l: l.append(v)
+            if not l: v1 = None
+            else: v1 = l[0]
+            if len(l)>1:
+                log.warn('  commands have different --%s options: %s'\
+                         ', using first in list as default' % (a, l))
+            if v1:
+                for c in cmd_list:
+                    if getattr(c, a) is None: setattr(c, a, v1)
+        return
+
+    def run(self):
+        # Do nothing.
+        return
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/develop.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/develop.py
new file mode 100644
index 0000000000000000000000000000000000000000..af24baf2e7e1e7ff715788cb5acfcbefaafebd48
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/develop.py
@@ -0,0 +1,15 @@
+""" Override the develop command from setuptools so we can ensure that our
+generated files (from build_src or build_scripts) are properly converted to real
+files with filenames.
+
+"""
+from setuptools.command.develop import develop as old_develop
+
+class develop(old_develop):
+    __doc__ = old_develop.__doc__
+    def install_for_development(self):
+        # Build sources in-place, too.
+        self.reinitialize_command('build_src', inplace=1)
+        # Make sure scripts are built.
+        self.run_command('build_scripts')
+        old_develop.install_for_development(self)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/egg_info.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/egg_info.py
new file mode 100644
index 0000000000000000000000000000000000000000..14c62b4d1b905ec71d8ab97dfdb3f18638d707f1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/egg_info.py
@@ -0,0 +1,25 @@
+import sys
+
+from setuptools.command.egg_info import egg_info as _egg_info
+
+class egg_info(_egg_info):
+    def run(self):
+        if 'sdist' in sys.argv:
+            import warnings
+            import textwrap
+            msg = textwrap.dedent("""
+                `build_src` is being run, this may lead to missing
+                files in your sdist!  You want to use distutils.sdist
+                instead of the setuptools version:
+
+                    from distutils.command.sdist import sdist
+                    cmdclass={'sdist': sdist}"
+
+                See numpy's setup.py or gh-7131 for details.""")
+            warnings.warn(msg, UserWarning, stacklevel=2)
+
+        # We need to ensure that build_src has been executed in order to give
+        # setuptools' egg_info command real filenames instead of functions which
+        # generate files.
+        self.run_command("build_src")
+        _egg_info.run(self)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install.py
new file mode 100644
index 0000000000000000000000000000000000000000..efa9b4740fc4b02e9419b7e5d7ccc7cec61cd781
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install.py
@@ -0,0 +1,79 @@
+import sys
+if 'setuptools' in sys.modules:
+    import setuptools.command.install as old_install_mod
+    have_setuptools = True
+else:
+    import distutils.command.install as old_install_mod
+    have_setuptools = False
+from distutils.file_util import write_file
+
+old_install = old_install_mod.install
+
+class install(old_install):
+
+    # Always run install_clib - the command is cheap, so no need to bypass it;
+    # but it's not run by setuptools -- so it's run again in install_data
+    sub_commands = old_install.sub_commands + [
+        ('install_clib', lambda x: True)
+    ]
+
+    def finalize_options (self):
+        old_install.finalize_options(self)
+        self.install_lib = self.install_libbase
+
+    def setuptools_run(self):
+        """ The setuptools version of the .run() method.
+
+        We must pull in the entire code so we can override the level used in the
+        _getframe() call since we wrap this call by one more level.
+        """
+        from distutils.command.install import install as distutils_install
+
+        # Explicit request for old-style install?  Just do it
+        if self.old_and_unmanageable or self.single_version_externally_managed:
+            return distutils_install.run(self)
+
+        # Attempt to detect whether we were called from setup() or by another
+        # command.  If we were called by setup(), our caller will be the
+        # 'run_command' method in 'distutils.dist', and *its* caller will be
+        # the 'run_commands' method.  If we were called any other way, our
+        # immediate caller *might* be 'run_command', but it won't have been
+        # called by 'run_commands'.  This is slightly kludgy, but seems to
+        # work.
+        #
+        caller = sys._getframe(3)
+        caller_module = caller.f_globals.get('__name__', '')
+        caller_name = caller.f_code.co_name
+
+        if caller_module != 'distutils.dist' or caller_name!='run_commands':
+            # We weren't called from the command line or setup(), so we
+            # should run in backward-compatibility mode to support bdist_*
+            # commands.
+            distutils_install.run(self)
+        else:
+            self.do_egg_install()
+
+    def run(self):
+        if not have_setuptools:
+            r = old_install.run(self)
+        else:
+            r = self.setuptools_run()
+        if self.record:
+            # bdist_rpm fails when INSTALLED_FILES contains
+            # paths with spaces. Such paths must be enclosed
+            # with double-quotes.
+            with open(self.record) as f:
+                lines = []
+                need_rewrite = False
+                for l in f:
+                    l = l.rstrip()
+                    if ' ' in l:
+                        need_rewrite = True
+                        l = '"%s"' % (l)
+                    lines.append(l)
+            if need_rewrite:
+                self.execute(write_file,
+                             (self.record, lines),
+                             "re-writing list of installed files to '%s'" %
+                             self.record)
+        return r
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_clib.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_clib.py
new file mode 100644
index 0000000000000000000000000000000000000000..aa2e5594c3c2e87434f7db1e0ffb7b8aa12f7fce
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_clib.py
@@ -0,0 +1,40 @@
+import os
+from distutils.core import Command
+from distutils.ccompiler import new_compiler
+from numpy.distutils.misc_util import get_cmd
+
+class install_clib(Command):
+    description = "Command to install installable C libraries"
+
+    user_options = []
+
+    def initialize_options(self):
+        self.install_dir = None
+        self.outfiles = []
+
+    def finalize_options(self):
+        self.set_undefined_options('install', ('install_lib', 'install_dir'))
+
+    def run (self):
+        build_clib_cmd = get_cmd("build_clib")
+        if not build_clib_cmd.build_clib:
+            # can happen if the user specified `--skip-build`
+            build_clib_cmd.finalize_options()
+        build_dir = build_clib_cmd.build_clib
+
+        # We need the compiler to get the library name -> filename association
+        if not build_clib_cmd.compiler:
+            compiler = new_compiler(compiler=None)
+            compiler.customize(self.distribution)
+        else:
+            compiler = build_clib_cmd.compiler
+
+        for l in self.distribution.installed_libraries:
+            target_dir = os.path.join(self.install_dir, l.target_dir)
+            name = compiler.library_filename(l.name)
+            source = os.path.join(build_dir, name)
+            self.mkpath(target_dir)
+            self.outfiles.append(self.copy_file(source, target_dir)[0])
+
+    def get_outputs(self):
+        return self.outfiles
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_data.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_data.py
new file mode 100644
index 0000000000000000000000000000000000000000..0a2e68ae192ae95422ae47136054d394bb45d2f0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_data.py
@@ -0,0 +1,24 @@
+import sys
+have_setuptools = ('setuptools' in sys.modules)
+
+from distutils.command.install_data import install_data as old_install_data
+
+#data installer with improved intelligence over distutils
+#data files are copied into the project directory instead
+#of willy-nilly
+class install_data (old_install_data):
+
+    def run(self):
+        old_install_data.run(self)
+
+        if have_setuptools:
+            # Run install_clib again, since setuptools does not run sub-commands
+            # of install automatically
+            self.run_command('install_clib')
+
+    def finalize_options (self):
+        self.set_undefined_options('install',
+                                   ('install_lib', 'install_dir'),
+                                   ('root', 'root'),
+                                   ('force', 'force'),
+                                  )
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_headers.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_headers.py
new file mode 100644
index 0000000000000000000000000000000000000000..91eba6f17c29e56dcfc8048d3de5544c77ad51f9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/install_headers.py
@@ -0,0 +1,25 @@
+import os
+from distutils.command.install_headers import install_headers as old_install_headers
+
+class install_headers (old_install_headers):
+
+    def run (self):
+        headers = self.distribution.headers
+        if not headers:
+            return
+
+        prefix = os.path.dirname(self.install_dir)
+        for header in headers:
+            if isinstance(header, tuple):
+                # Kind of a hack, but I don't know where else to change this...
+                if header[0] == 'numpy._core':
+                    header = ('numpy', header[1])
+                    if os.path.splitext(header[1])[1] == '.inc':
+                        continue
+                d = os.path.join(*([prefix]+header[0].split('.')))
+                header = header[1]
+            else:
+                d = self.install_dir
+            self.mkpath(d)
+            (out, _) = self.copy_file(header, d)
+            self.outfiles.append(out)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/sdist.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/sdist.py
new file mode 100644
index 0000000000000000000000000000000000000000..e34193883dea739b09792a86bfc3d4c03b42cb5a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/command/sdist.py
@@ -0,0 +1,27 @@
+import sys
+if 'setuptools' in sys.modules:
+    from setuptools.command.sdist import sdist as old_sdist
+else:
+    from distutils.command.sdist import sdist as old_sdist
+
+from numpy.distutils.misc_util import get_data_files
+
+class sdist(old_sdist):
+
+    def add_defaults (self):
+        old_sdist.add_defaults(self)
+
+        dist = self.distribution
+
+        if dist.has_data_files():
+            for data in dist.data_files:
+                self.filelist.extend(get_data_files(data))
+
+        if dist.has_headers():
+            headers = []
+            for h in dist.headers:
+                if isinstance(h, str): headers.append(h)
+                else: headers.append(h[1])
+            self.filelist.extend(headers)
+
+        return
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/conv_template.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/conv_template.py
new file mode 100644
index 0000000000000000000000000000000000000000..c8933d1d42865f745bb985f7f9068a96985997f7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/conv_template.py
@@ -0,0 +1,329 @@
+#!/usr/bin/env python3
+"""
+takes templated file .xxx.src and produces .xxx file  where .xxx is
+.i or .c or .h, using the following template rules
+
+/**begin repeat  -- on a line by itself marks the start of a repeated code
+                    segment
+/**end repeat**/ -- on a line by itself marks it's end
+
+After the /**begin repeat and before the */, all the named templates are placed
+these should all have the same number of replacements
+
+Repeat blocks can be nested, with each nested block labeled with its depth,
+i.e.
+/**begin repeat1
+ *....
+ */
+/**end repeat1**/
+
+When using nested loops, you can optionally exclude particular
+combinations of the variables using (inside the comment portion of the inner loop):
+
+ :exclude: var1=value1, var2=value2, ...
+
+This will exclude the pattern where var1 is value1 and var2 is value2 when
+the result is being generated.
+
+
+In the main body each replace will use one entry from the list of named replacements
+
+ Note that all #..# forms in a block must have the same number of
+   comma-separated entries.
+
+Example:
+
+    An input file containing
+
+        /**begin repeat
+         * #a = 1,2,3#
+         * #b = 1,2,3#
+         */
+
+        /**begin repeat1
+         * #c = ted, jim#
+         */
+        @a@, @b@, @c@
+        /**end repeat1**/
+
+        /**end repeat**/
+
+    produces
+
+        line 1 "template.c.src"
+
+        /*
+         *********************************************************************
+         **       This file was autogenerated from a template  DO NOT EDIT!!**
+         **       Changes should be made to the original source (.src) file **
+         *********************************************************************
+         */
+
+        #line 9
+        1, 1, ted
+
+        #line 9
+        1, 1, jim
+
+        #line 9
+        2, 2, ted
+
+        #line 9
+        2, 2, jim
+
+        #line 9
+        3, 3, ted
+
+        #line 9
+        3, 3, jim
+
+"""
+
+__all__ = ['process_str', 'process_file']
+
+import os
+import sys
+import re
+
+# names for replacement that are already global.
+global_names = {}
+
+# header placed at the front of head processed file
+header =\
+"""
+/*
+ *****************************************************************************
+ **       This file was autogenerated from a template  DO NOT EDIT!!!!      **
+ **       Changes should be made to the original source (.src) file         **
+ *****************************************************************************
+ */
+
+"""
+# Parse string for repeat loops
+def parse_structure(astr, level):
+    """
+    The returned line number is from the beginning of the string, starting
+    at zero. Returns an empty list if no loops found.
+
+    """
+    if level == 0 :
+        loopbeg = "/**begin repeat"
+        loopend = "/**end repeat**/"
+    else :
+        loopbeg = "/**begin repeat%d" % level
+        loopend = "/**end repeat%d**/" % level
+
+    ind = 0
+    line = 0
+    spanlist = []
+    while True:
+        start = astr.find(loopbeg, ind)
+        if start == -1:
+            break
+        start2 = astr.find("*/", start)
+        start2 = astr.find("\n", start2)
+        fini1 = astr.find(loopend, start2)
+        fini2 = astr.find("\n", fini1)
+        line += astr.count("\n", ind, start2+1)
+        spanlist.append((start, start2+1, fini1, fini2+1, line))
+        line += astr.count("\n", start2+1, fini2)
+        ind = fini2
+    spanlist.sort()
+    return spanlist
+
+
+def paren_repl(obj):
+    torep = obj.group(1)
+    numrep = obj.group(2)
+    return ','.join([torep]*int(numrep))
+
+parenrep = re.compile(r"\(([^)]*)\)\*(\d+)")
+plainrep = re.compile(r"([^*]+)\*(\d+)")
+def parse_values(astr):
+    # replaces all occurrences of '(a,b,c)*4' in astr
+    # with 'a,b,c,a,b,c,a,b,c,a,b,c'. Empty braces generate
+    # empty values, i.e., ()*4 yields ',,,'. The result is
+    # split at ',' and a list of values returned.
+    astr = parenrep.sub(paren_repl, astr)
+    # replaces occurrences of xxx*3 with xxx, xxx, xxx
+    astr = ','.join([plainrep.sub(paren_repl, x.strip())
+                     for x in astr.split(',')])
+    return astr.split(',')
+
+
+stripast = re.compile(r"\n\s*\*?")
+named_re = re.compile(r"#\s*(\w*)\s*=([^#]*)#")
+exclude_vars_re = re.compile(r"(\w*)=(\w*)")
+exclude_re = re.compile(":exclude:")
+def parse_loop_header(loophead) :
+    """Find all named replacements in the header
+
+    Returns a list of dictionaries, one for each loop iteration,
+    where each key is a name to be substituted and the corresponding
+    value is the replacement string.
+
+    Also return a list of exclusions.  The exclusions are dictionaries
+     of key value pairs. There can be more than one exclusion.
+     [{'var1':'value1', 'var2', 'value2'[,...]}, ...]
+
+    """
+    # Strip out '\n' and leading '*', if any, in continuation lines.
+    # This should not effect code previous to this change as
+    # continuation lines were not allowed.
+    loophead = stripast.sub("", loophead)
+    # parse out the names and lists of values
+    names = []
+    reps = named_re.findall(loophead)
+    nsub = None
+    for rep in reps:
+        name = rep[0]
+        vals = parse_values(rep[1])
+        size = len(vals)
+        if nsub is None :
+            nsub = size
+        elif nsub != size :
+            msg = "Mismatch in number of values, %d != %d\n%s = %s"
+            raise ValueError(msg % (nsub, size, name, vals))
+        names.append((name, vals))
+
+
+    # Find any exclude variables
+    excludes = []
+
+    for obj in exclude_re.finditer(loophead):
+        span = obj.span()
+        # find next newline
+        endline = loophead.find('\n', span[1])
+        substr = loophead[span[1]:endline]
+        ex_names = exclude_vars_re.findall(substr)
+        excludes.append(dict(ex_names))
+
+    # generate list of dictionaries, one for each template iteration
+    dlist = []
+    if nsub is None :
+        raise ValueError("No substitution variables found")
+    for i in range(nsub):
+        tmp = {name: vals[i] for name, vals in names}
+        dlist.append(tmp)
+    return dlist
+
+replace_re = re.compile(r"@(\w+)@")
+def parse_string(astr, env, level, line) :
+    lineno = "#line %d\n" % line
+
+    # local function for string replacement, uses env
+    def replace(match):
+        name = match.group(1)
+        try :
+            val = env[name]
+        except KeyError:
+            msg = 'line %d: no definition of key "%s"'%(line, name)
+            raise ValueError(msg) from None
+        return val
+
+    code = [lineno]
+    struct = parse_structure(astr, level)
+    if struct :
+        # recurse over inner loops
+        oldend = 0
+        newlevel = level + 1
+        for sub in struct:
+            pref = astr[oldend:sub[0]]
+            head = astr[sub[0]:sub[1]]
+            text = astr[sub[1]:sub[2]]
+            oldend = sub[3]
+            newline = line + sub[4]
+            code.append(replace_re.sub(replace, pref))
+            try :
+                envlist = parse_loop_header(head)
+            except ValueError as e:
+                msg = "line %d: %s" % (newline, e)
+                raise ValueError(msg)
+            for newenv in envlist :
+                newenv.update(env)
+                newcode = parse_string(text, newenv, newlevel, newline)
+                code.extend(newcode)
+        suff = astr[oldend:]
+        code.append(replace_re.sub(replace, suff))
+    else :
+        # replace keys
+        code.append(replace_re.sub(replace, astr))
+    code.append('\n')
+    return ''.join(code)
+
+def process_str(astr):
+    code = [header]
+    code.extend(parse_string(astr, global_names, 0, 1))
+    return ''.join(code)
+
+
+include_src_re = re.compile(r"(\n|\A)#include\s*['\"]"
+                            r"(?P[\w\d./\\]+[.]src)['\"]", re.I)
+
+def resolve_includes(source):
+    d = os.path.dirname(source)
+    with open(source) as fid:
+        lines = []
+        for line in fid:
+            m = include_src_re.match(line)
+            if m:
+                fn = m.group('name')
+                if not os.path.isabs(fn):
+                    fn = os.path.join(d, fn)
+                if os.path.isfile(fn):
+                    lines.extend(resolve_includes(fn))
+                else:
+                    lines.append(line)
+            else:
+                lines.append(line)
+    return lines
+
+def process_file(source):
+    lines = resolve_includes(source)
+    sourcefile = os.path.normcase(source).replace("\\", "\\\\")
+    try:
+        code = process_str(''.join(lines))
+    except ValueError as e:
+        raise ValueError('In "%s" loop at %s' % (sourcefile, e)) from None
+    return '#line 1 "%s"\n%s' % (sourcefile, code)
+
+
+def unique_key(adict):
+    # this obtains a unique key given a dictionary
+    # currently it works by appending together n of the letters of the
+    #   current keys and increasing n until a unique key is found
+    # -- not particularly quick
+    allkeys = list(adict.keys())
+    done = False
+    n = 1
+    while not done:
+        newkey = "".join([x[:n] for x in allkeys])
+        if newkey in allkeys:
+            n += 1
+        else:
+            done = True
+    return newkey
+
+
+def main():
+    try:
+        file = sys.argv[1]
+    except IndexError:
+        fid = sys.stdin
+        outfile = sys.stdout
+    else:
+        fid = open(file, 'r')
+        (base, ext) = os.path.splitext(file)
+        newname = base
+        outfile = open(newname, 'w')
+
+    allstr = fid.read()
+    try:
+        writestr = process_str(allstr)
+    except ValueError as e:
+        raise ValueError("In %s loop at %s" % (file, e)) from None
+
+    outfile.write(writestr)
+
+if __name__ == "__main__":
+    main()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/core.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/core.py
new file mode 100644
index 0000000000000000000000000000000000000000..c4a14e59901f90afe1fc65dfb9679bd307e8f66e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/core.py
@@ -0,0 +1,215 @@
+import sys
+from distutils.core import Distribution
+
+if 'setuptools' in sys.modules:
+    have_setuptools = True
+    from setuptools import setup as old_setup
+    # easy_install imports math, it may be picked up from cwd
+    from setuptools.command import easy_install
+    try:
+        # very old versions of setuptools don't have this
+        from setuptools.command import bdist_egg
+    except ImportError:
+        have_setuptools = False
+else:
+    from distutils.core import setup as old_setup
+    have_setuptools = False
+
+import warnings
+import distutils.core
+import distutils.dist
+
+from numpy.distutils.extension import Extension  # noqa: F401
+from numpy.distutils.numpy_distribution import NumpyDistribution
+from numpy.distutils.command import config, config_compiler, \
+     build, build_py, build_ext, build_clib, build_src, build_scripts, \
+     sdist, install_data, install_headers, install, bdist_rpm, \
+     install_clib
+from numpy.distutils.misc_util import is_sequence, is_string
+
+numpy_cmdclass = {'build':            build.build,
+                  'build_src':        build_src.build_src,
+                  'build_scripts':    build_scripts.build_scripts,
+                  'config_cc':        config_compiler.config_cc,
+                  'config_fc':        config_compiler.config_fc,
+                  'config':           config.config,
+                  'build_ext':        build_ext.build_ext,
+                  'build_py':         build_py.build_py,
+                  'build_clib':       build_clib.build_clib,
+                  'sdist':            sdist.sdist,
+                  'install_data':     install_data.install_data,
+                  'install_headers':  install_headers.install_headers,
+                  'install_clib':     install_clib.install_clib,
+                  'install':          install.install,
+                  'bdist_rpm':        bdist_rpm.bdist_rpm,
+                  }
+if have_setuptools:
+    # Use our own versions of develop and egg_info to ensure that build_src is
+    # handled appropriately.
+    from numpy.distutils.command import develop, egg_info
+    numpy_cmdclass['bdist_egg'] = bdist_egg.bdist_egg
+    numpy_cmdclass['develop'] = develop.develop
+    numpy_cmdclass['easy_install'] = easy_install.easy_install
+    numpy_cmdclass['egg_info'] = egg_info.egg_info
+
+def _dict_append(d, **kws):
+    for k, v in kws.items():
+        if k not in d:
+            d[k] = v
+            continue
+        dv = d[k]
+        if isinstance(dv, tuple):
+            d[k] = dv + tuple(v)
+        elif isinstance(dv, list):
+            d[k] = dv + list(v)
+        elif isinstance(dv, dict):
+            _dict_append(dv, **v)
+        elif is_string(dv):
+            d[k] = dv + v
+        else:
+            raise TypeError(repr(type(dv)))
+
+def _command_line_ok(_cache=None):
+    """ Return True if command line does not contain any
+    help or display requests.
+    """
+    if _cache:
+        return _cache[0]
+    elif _cache is None:
+        _cache = []
+    ok = True
+    display_opts = ['--'+n for n in Distribution.display_option_names]
+    for o in Distribution.display_options:
+        if o[1]:
+            display_opts.append('-'+o[1])
+    for arg in sys.argv:
+        if arg.startswith('--help') or arg=='-h' or arg in display_opts:
+            ok = False
+            break
+    _cache.append(ok)
+    return ok
+
+def get_distribution(always=False):
+    dist = distutils.core._setup_distribution
+    # XXX Hack to get numpy installable with easy_install.
+    # The problem is easy_install runs it's own setup(), which
+    # sets up distutils.core._setup_distribution. However,
+    # when our setup() runs, that gets overwritten and lost.
+    # We can't use isinstance, as the DistributionWithoutHelpCommands
+    # class is local to a function in setuptools.command.easy_install
+    if dist is not None and \
+            'DistributionWithoutHelpCommands' in repr(dist):
+        dist = None
+    if always and dist is None:
+        dist = NumpyDistribution()
+    return dist
+
+def setup(**attr):
+
+    cmdclass = numpy_cmdclass.copy()
+
+    new_attr = attr.copy()
+    if 'cmdclass' in new_attr:
+        cmdclass.update(new_attr['cmdclass'])
+    new_attr['cmdclass'] = cmdclass
+
+    if 'configuration' in new_attr:
+        # To avoid calling configuration if there are any errors
+        # or help request in command in the line.
+        configuration = new_attr.pop('configuration')
+
+        old_dist = distutils.core._setup_distribution
+        old_stop = distutils.core._setup_stop_after
+        distutils.core._setup_distribution = None
+        distutils.core._setup_stop_after = "commandline"
+        try:
+            dist = setup(**new_attr)
+        finally:
+            distutils.core._setup_distribution = old_dist
+            distutils.core._setup_stop_after = old_stop
+        if dist.help or not _command_line_ok():
+            # probably displayed help, skip running any commands
+            return dist
+
+        # create setup dictionary and append to new_attr
+        config = configuration()
+        if hasattr(config, 'todict'):
+            config = config.todict()
+        _dict_append(new_attr, **config)
+
+    # Move extension source libraries to libraries
+    libraries = []
+    for ext in new_attr.get('ext_modules', []):
+        new_libraries = []
+        for item in ext.libraries:
+            if is_sequence(item):
+                lib_name, build_info = item
+                _check_append_ext_library(libraries, lib_name, build_info)
+                new_libraries.append(lib_name)
+            elif is_string(item):
+                new_libraries.append(item)
+            else:
+                raise TypeError("invalid description of extension module "
+                                "library %r" % (item,))
+        ext.libraries = new_libraries
+    if libraries:
+        if 'libraries' not in new_attr:
+            new_attr['libraries'] = []
+        for item in libraries:
+            _check_append_library(new_attr['libraries'], item)
+
+    # sources in ext_modules or libraries may contain header files
+    if ('ext_modules' in new_attr or 'libraries' in new_attr) \
+       and 'headers' not in new_attr:
+        new_attr['headers'] = []
+
+    # Use our custom NumpyDistribution class instead of distutils' one
+    new_attr['distclass'] = NumpyDistribution
+
+    return old_setup(**new_attr)
+
+def _check_append_library(libraries, item):
+    for libitem in libraries:
+        if is_sequence(libitem):
+            if is_sequence(item):
+                if item[0]==libitem[0]:
+                    if item[1] is libitem[1]:
+                        return
+                    warnings.warn("[0] libraries list contains %r with"
+                                  " different build_info" % (item[0],),
+                                  stacklevel=2)
+                    break
+            else:
+                if item==libitem[0]:
+                    warnings.warn("[1] libraries list contains %r with"
+                                  " no build_info" % (item[0],),
+                                  stacklevel=2)
+                    break
+        else:
+            if is_sequence(item):
+                if item[0]==libitem:
+                    warnings.warn("[2] libraries list contains %r with"
+                                  " no build_info" % (item[0],),
+                                  stacklevel=2)
+                    break
+            else:
+                if item==libitem:
+                    return
+    libraries.append(item)
+
+def _check_append_ext_library(libraries, lib_name, build_info):
+    for item in libraries:
+        if is_sequence(item):
+            if item[0]==lib_name:
+                if item[1] is build_info:
+                    return
+                warnings.warn("[3] libraries list contains %r with"
+                              " different build_info" % (lib_name,),
+                              stacklevel=2)
+                break
+        elif item==lib_name:
+            warnings.warn("[4] libraries list contains %r with"
+                          " no build_info" % (lib_name,),
+                          stacklevel=2)
+            break
+    libraries.append((lib_name, build_info))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/cpuinfo.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/cpuinfo.py
new file mode 100644
index 0000000000000000000000000000000000000000..77620210981dd1e97d87a078344b3735c3cc6e1d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/cpuinfo.py
@@ -0,0 +1,683 @@
+#!/usr/bin/env python3
+"""
+cpuinfo
+
+Copyright 2002 Pearu Peterson all rights reserved,
+Pearu Peterson 
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy (BSD style) license.  See LICENSE.txt that came with
+this distribution for specifics.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+Pearu Peterson
+
+"""
+__all__ = ['cpu']
+
+import os
+import platform
+import re
+import sys
+import types
+import warnings
+
+from subprocess import getstatusoutput
+
+
+def getoutput(cmd, successful_status=(0,), stacklevel=1):
+    try:
+        status, output = getstatusoutput(cmd)
+    except OSError as e:
+        warnings.warn(str(e), UserWarning, stacklevel=stacklevel)
+        return False, ""
+    if os.WIFEXITED(status) and os.WEXITSTATUS(status) in successful_status:
+        return True, output
+    return False, output
+
+def command_info(successful_status=(0,), stacklevel=1, **kw):
+    info = {}
+    for key in kw:
+        ok, output = getoutput(kw[key], successful_status=successful_status,
+                               stacklevel=stacklevel+1)
+        if ok:
+            info[key] = output.strip()
+    return info
+
+def command_by_line(cmd, successful_status=(0,), stacklevel=1):
+    ok, output = getoutput(cmd, successful_status=successful_status,
+                           stacklevel=stacklevel+1)
+    if not ok:
+        return
+    for line in output.splitlines():
+        yield line.strip()
+
+def key_value_from_command(cmd, sep, successful_status=(0,),
+                           stacklevel=1):
+    d = {}
+    for line in command_by_line(cmd, successful_status=successful_status,
+                                stacklevel=stacklevel+1):
+        l = [s.strip() for s in line.split(sep, 1)]
+        if len(l) == 2:
+            d[l[0]] = l[1]
+    return d
+
+class CPUInfoBase:
+    """Holds CPU information and provides methods for requiring
+    the availability of various CPU features.
+    """
+
+    def _try_call(self, func):
+        try:
+            return func()
+        except Exception:
+            pass
+
+    def __getattr__(self, name):
+        if not name.startswith('_'):
+            if hasattr(self, '_'+name):
+                attr = getattr(self, '_'+name)
+                if isinstance(attr, types.MethodType):
+                    return lambda func=self._try_call,attr=attr : func(attr)
+            else:
+                return lambda : None
+        raise AttributeError(name)
+
+    def _getNCPUs(self):
+        return 1
+
+    def __get_nbits(self):
+        abits = platform.architecture()[0]
+        nbits = re.compile(r'(\d+)bit').search(abits).group(1)
+        return nbits
+
+    def _is_32bit(self):
+        return self.__get_nbits() == '32'
+
+    def _is_64bit(self):
+        return self.__get_nbits() == '64'
+
+class LinuxCPUInfo(CPUInfoBase):
+
+    info = None
+
+    def __init__(self):
+        if self.info is not None:
+            return
+        info = [ {} ]
+        ok, output = getoutput('uname -m')
+        if ok:
+            info[0]['uname_m'] = output.strip()
+        try:
+            fo = open('/proc/cpuinfo')
+        except OSError as e:
+            warnings.warn(str(e), UserWarning, stacklevel=2)
+        else:
+            for line in fo:
+                name_value = [s.strip() for s in line.split(':', 1)]
+                if len(name_value) != 2:
+                    continue
+                name, value = name_value
+                if not info or name in info[-1]: # next processor
+                    info.append({})
+                info[-1][name] = value
+            fo.close()
+        self.__class__.info = info
+
+    def _not_impl(self): pass
+
+    # Athlon
+
+    def _is_AMD(self):
+        return self.info[0]['vendor_id']=='AuthenticAMD'
+
+    def _is_AthlonK6_2(self):
+        return self._is_AMD() and self.info[0]['model'] == '2'
+
+    def _is_AthlonK6_3(self):
+        return self._is_AMD() and self.info[0]['model'] == '3'
+
+    def _is_AthlonK6(self):
+        return re.match(r'.*?AMD-K6', self.info[0]['model name']) is not None
+
+    def _is_AthlonK7(self):
+        return re.match(r'.*?AMD-K7', self.info[0]['model name']) is not None
+
+    def _is_AthlonMP(self):
+        return re.match(r'.*?Athlon\(tm\) MP\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_AMD64(self):
+        return self.is_AMD() and self.info[0]['family'] == '15'
+
+    def _is_Athlon64(self):
+        return re.match(r'.*?Athlon\(tm\) 64\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_AthlonHX(self):
+        return re.match(r'.*?Athlon HX\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_Opteron(self):
+        return re.match(r'.*?Opteron\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_Hammer(self):
+        return re.match(r'.*?Hammer\b',
+                        self.info[0]['model name']) is not None
+
+    # Alpha
+
+    def _is_Alpha(self):
+        return self.info[0]['cpu']=='Alpha'
+
+    def _is_EV4(self):
+        return self.is_Alpha() and self.info[0]['cpu model'] == 'EV4'
+
+    def _is_EV5(self):
+        return self.is_Alpha() and self.info[0]['cpu model'] == 'EV5'
+
+    def _is_EV56(self):
+        return self.is_Alpha() and self.info[0]['cpu model'] == 'EV56'
+
+    def _is_PCA56(self):
+        return self.is_Alpha() and self.info[0]['cpu model'] == 'PCA56'
+
+    # Intel
+
+    #XXX
+    _is_i386 = _not_impl
+
+    def _is_Intel(self):
+        return self.info[0]['vendor_id']=='GenuineIntel'
+
+    def _is_i486(self):
+        return self.info[0]['cpu']=='i486'
+
+    def _is_i586(self):
+        return self.is_Intel() and self.info[0]['cpu family'] == '5'
+
+    def _is_i686(self):
+        return self.is_Intel() and self.info[0]['cpu family'] == '6'
+
+    def _is_Celeron(self):
+        return re.match(r'.*?Celeron',
+                        self.info[0]['model name']) is not None
+
+    def _is_Pentium(self):
+        return re.match(r'.*?Pentium',
+                        self.info[0]['model name']) is not None
+
+    def _is_PentiumII(self):
+        return re.match(r'.*?Pentium.*?II\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_PentiumPro(self):
+        return re.match(r'.*?PentiumPro\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_PentiumMMX(self):
+        return re.match(r'.*?Pentium.*?MMX\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_PentiumIII(self):
+        return re.match(r'.*?Pentium.*?III\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_PentiumIV(self):
+        return re.match(r'.*?Pentium.*?(IV|4)\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_PentiumM(self):
+        return re.match(r'.*?Pentium.*?M\b',
+                        self.info[0]['model name']) is not None
+
+    def _is_Prescott(self):
+        return self.is_PentiumIV() and self.has_sse3()
+
+    def _is_Nocona(self):
+        return (self.is_Intel()
+                and (self.info[0]['cpu family'] == '6'
+                     or self.info[0]['cpu family'] == '15')
+                and (self.has_sse3() and not self.has_ssse3())
+                and re.match(r'.*?\blm\b', self.info[0]['flags']) is not None)
+
+    def _is_Core2(self):
+        return (self.is_64bit() and self.is_Intel() and
+                re.match(r'.*?Core\(TM\)2\b',
+                         self.info[0]['model name']) is not None)
+
+    def _is_Itanium(self):
+        return re.match(r'.*?Itanium\b',
+                        self.info[0]['family']) is not None
+
+    def _is_XEON(self):
+        return re.match(r'.*?XEON\b',
+                        self.info[0]['model name'], re.IGNORECASE) is not None
+
+    _is_Xeon = _is_XEON
+
+    # Varia
+
+    def _is_singleCPU(self):
+        return len(self.info) == 1
+
+    def _getNCPUs(self):
+        return len(self.info)
+
+    def _has_fdiv_bug(self):
+        return self.info[0]['fdiv_bug']=='yes'
+
+    def _has_f00f_bug(self):
+        return self.info[0]['f00f_bug']=='yes'
+
+    def _has_mmx(self):
+        return re.match(r'.*?\bmmx\b', self.info[0]['flags']) is not None
+
+    def _has_sse(self):
+        return re.match(r'.*?\bsse\b', self.info[0]['flags']) is not None
+
+    def _has_sse2(self):
+        return re.match(r'.*?\bsse2\b', self.info[0]['flags']) is not None
+
+    def _has_sse3(self):
+        return re.match(r'.*?\bpni\b', self.info[0]['flags']) is not None
+
+    def _has_ssse3(self):
+        return re.match(r'.*?\bssse3\b', self.info[0]['flags']) is not None
+
+    def _has_3dnow(self):
+        return re.match(r'.*?\b3dnow\b', self.info[0]['flags']) is not None
+
+    def _has_3dnowext(self):
+        return re.match(r'.*?\b3dnowext\b', self.info[0]['flags']) is not None
+
+class IRIXCPUInfo(CPUInfoBase):
+    info = None
+
+    def __init__(self):
+        if self.info is not None:
+            return
+        info = key_value_from_command('sysconf', sep=' ',
+                                      successful_status=(0, 1))
+        self.__class__.info = info
+
+    def _not_impl(self): pass
+
+    def _is_singleCPU(self):
+        return self.info.get('NUM_PROCESSORS') == '1'
+
+    def _getNCPUs(self):
+        return int(self.info.get('NUM_PROCESSORS', 1))
+
+    def __cputype(self, n):
+        return self.info.get('PROCESSORS').split()[0].lower() == 'r%s' % (n)
+    def _is_r2000(self): return self.__cputype(2000)
+    def _is_r3000(self): return self.__cputype(3000)
+    def _is_r3900(self): return self.__cputype(3900)
+    def _is_r4000(self): return self.__cputype(4000)
+    def _is_r4100(self): return self.__cputype(4100)
+    def _is_r4300(self): return self.__cputype(4300)
+    def _is_r4400(self): return self.__cputype(4400)
+    def _is_r4600(self): return self.__cputype(4600)
+    def _is_r4650(self): return self.__cputype(4650)
+    def _is_r5000(self): return self.__cputype(5000)
+    def _is_r6000(self): return self.__cputype(6000)
+    def _is_r8000(self): return self.__cputype(8000)
+    def _is_r10000(self): return self.__cputype(10000)
+    def _is_r12000(self): return self.__cputype(12000)
+    def _is_rorion(self): return self.__cputype('orion')
+
+    def get_ip(self):
+        try: return self.info.get('MACHINE')
+        except Exception: pass
+    def __machine(self, n):
+        return self.info.get('MACHINE').lower() == 'ip%s' % (n)
+    def _is_IP19(self): return self.__machine(19)
+    def _is_IP20(self): return self.__machine(20)
+    def _is_IP21(self): return self.__machine(21)
+    def _is_IP22(self): return self.__machine(22)
+    def _is_IP22_4k(self): return self.__machine(22) and self._is_r4000()
+    def _is_IP22_5k(self): return self.__machine(22)  and self._is_r5000()
+    def _is_IP24(self): return self.__machine(24)
+    def _is_IP25(self): return self.__machine(25)
+    def _is_IP26(self): return self.__machine(26)
+    def _is_IP27(self): return self.__machine(27)
+    def _is_IP28(self): return self.__machine(28)
+    def _is_IP30(self): return self.__machine(30)
+    def _is_IP32(self): return self.__machine(32)
+    def _is_IP32_5k(self): return self.__machine(32) and self._is_r5000()
+    def _is_IP32_10k(self): return self.__machine(32) and self._is_r10000()
+
+
+class DarwinCPUInfo(CPUInfoBase):
+    info = None
+
+    def __init__(self):
+        if self.info is not None:
+            return
+        info = command_info(arch='arch',
+                            machine='machine')
+        info['sysctl_hw'] = key_value_from_command('sysctl hw', sep='=')
+        self.__class__.info = info
+
+    def _not_impl(self): pass
+
+    def _getNCPUs(self):
+        return int(self.info['sysctl_hw'].get('hw.ncpu', 1))
+
+    def _is_Power_Macintosh(self):
+        return self.info['sysctl_hw']['hw.machine']=='Power Macintosh'
+
+    def _is_i386(self):
+        return self.info['arch']=='i386'
+    def _is_ppc(self):
+        return self.info['arch']=='ppc'
+
+    def __machine(self, n):
+        return self.info['machine'] == 'ppc%s'%n
+    def _is_ppc601(self): return self.__machine(601)
+    def _is_ppc602(self): return self.__machine(602)
+    def _is_ppc603(self): return self.__machine(603)
+    def _is_ppc603e(self): return self.__machine('603e')
+    def _is_ppc604(self): return self.__machine(604)
+    def _is_ppc604e(self): return self.__machine('604e')
+    def _is_ppc620(self): return self.__machine(620)
+    def _is_ppc630(self): return self.__machine(630)
+    def _is_ppc740(self): return self.__machine(740)
+    def _is_ppc7400(self): return self.__machine(7400)
+    def _is_ppc7450(self): return self.__machine(7450)
+    def _is_ppc750(self): return self.__machine(750)
+    def _is_ppc403(self): return self.__machine(403)
+    def _is_ppc505(self): return self.__machine(505)
+    def _is_ppc801(self): return self.__machine(801)
+    def _is_ppc821(self): return self.__machine(821)
+    def _is_ppc823(self): return self.__machine(823)
+    def _is_ppc860(self): return self.__machine(860)
+
+
+class SunOSCPUInfo(CPUInfoBase):
+
+    info = None
+
+    def __init__(self):
+        if self.info is not None:
+            return
+        info = command_info(arch='arch',
+                            mach='mach',
+                            uname_i='uname_i',
+                            isainfo_b='isainfo -b',
+                            isainfo_n='isainfo -n',
+                            )
+        info['uname_X'] = key_value_from_command('uname -X', sep='=')
+        for line in command_by_line('psrinfo -v 0'):
+            m = re.match(r'\s*The (?P
[\w\d]+) processor operates at', line)
+            if m:
+                info['processor'] = m.group('p')
+                break
+        self.__class__.info = info
+
+    def _not_impl(self): pass
+
+    def _is_i386(self):
+        return self.info['isainfo_n']=='i386'
+    def _is_sparc(self):
+        return self.info['isainfo_n']=='sparc'
+    def _is_sparcv9(self):
+        return self.info['isainfo_n']=='sparcv9'
+
+    def _getNCPUs(self):
+        return int(self.info['uname_X'].get('NumCPU', 1))
+
+    def _is_sun4(self):
+        return self.info['arch']=='sun4'
+
+    def _is_SUNW(self):
+        return re.match(r'SUNW', self.info['uname_i']) is not None
+    def _is_sparcstation5(self):
+        return re.match(r'.*SPARCstation-5', self.info['uname_i']) is not None
+    def _is_ultra1(self):
+        return re.match(r'.*Ultra-1', self.info['uname_i']) is not None
+    def _is_ultra250(self):
+        return re.match(r'.*Ultra-250', self.info['uname_i']) is not None
+    def _is_ultra2(self):
+        return re.match(r'.*Ultra-2', self.info['uname_i']) is not None
+    def _is_ultra30(self):
+        return re.match(r'.*Ultra-30', self.info['uname_i']) is not None
+    def _is_ultra4(self):
+        return re.match(r'.*Ultra-4', self.info['uname_i']) is not None
+    def _is_ultra5_10(self):
+        return re.match(r'.*Ultra-5_10', self.info['uname_i']) is not None
+    def _is_ultra5(self):
+        return re.match(r'.*Ultra-5', self.info['uname_i']) is not None
+    def _is_ultra60(self):
+        return re.match(r'.*Ultra-60', self.info['uname_i']) is not None
+    def _is_ultra80(self):
+        return re.match(r'.*Ultra-80', self.info['uname_i']) is not None
+    def _is_ultraenterprice(self):
+        return re.match(r'.*Ultra-Enterprise', self.info['uname_i']) is not None
+    def _is_ultraenterprice10k(self):
+        return re.match(r'.*Ultra-Enterprise-10000', self.info['uname_i']) is not None
+    def _is_sunfire(self):
+        return re.match(r'.*Sun-Fire', self.info['uname_i']) is not None
+    def _is_ultra(self):
+        return re.match(r'.*Ultra', self.info['uname_i']) is not None
+
+    def _is_cpusparcv7(self):
+        return self.info['processor']=='sparcv7'
+    def _is_cpusparcv8(self):
+        return self.info['processor']=='sparcv8'
+    def _is_cpusparcv9(self):
+        return self.info['processor']=='sparcv9'
+
+class Win32CPUInfo(CPUInfoBase):
+
+    info = None
+    pkey = r"HARDWARE\DESCRIPTION\System\CentralProcessor"
+    # XXX: what does the value of
+    #   HKEY_LOCAL_MACHINE\HARDWARE\DESCRIPTION\System\CentralProcessor\0
+    # mean?
+
+    def __init__(self):
+        if self.info is not None:
+            return
+        info = []
+        try:
+            #XXX: Bad style to use so long `try:...except:...`. Fix it!
+            import winreg
+
+            prgx = re.compile(r"family\s+(?P\d+)\s+model\s+(?P\d+)"
+                              r"\s+stepping\s+(?P\d+)", re.IGNORECASE)
+            chnd=winreg.OpenKey(winreg.HKEY_LOCAL_MACHINE, self.pkey)
+            pnum=0
+            while True:
+                try:
+                    proc=winreg.EnumKey(chnd, pnum)
+                except winreg.error:
+                    break
+                else:
+                    pnum+=1
+                    info.append({"Processor":proc})
+                    phnd=winreg.OpenKey(chnd, proc)
+                    pidx=0
+                    while True:
+                        try:
+                            name, value, vtpe=winreg.EnumValue(phnd, pidx)
+                        except winreg.error:
+                            break
+                        else:
+                            pidx=pidx+1
+                            info[-1][name]=value
+                            if name=="Identifier":
+                                srch=prgx.search(value)
+                                if srch:
+                                    info[-1]["Family"]=int(srch.group("FML"))
+                                    info[-1]["Model"]=int(srch.group("MDL"))
+                                    info[-1]["Stepping"]=int(srch.group("STP"))
+        except Exception as e:
+            print(e, '(ignoring)')
+        self.__class__.info = info
+
+    def _not_impl(self): pass
+
+    # Athlon
+
+    def _is_AMD(self):
+        return self.info[0]['VendorIdentifier']=='AuthenticAMD'
+
+    def _is_Am486(self):
+        return self.is_AMD() and self.info[0]['Family']==4
+
+    def _is_Am5x86(self):
+        return self.is_AMD() and self.info[0]['Family']==4
+
+    def _is_AMDK5(self):
+        return self.is_AMD() and self.info[0]['Family']==5 \
+               and self.info[0]['Model'] in [0, 1, 2, 3]
+
+    def _is_AMDK6(self):
+        return self.is_AMD() and self.info[0]['Family']==5 \
+               and self.info[0]['Model'] in [6, 7]
+
+    def _is_AMDK6_2(self):
+        return self.is_AMD() and self.info[0]['Family']==5 \
+               and self.info[0]['Model']==8
+
+    def _is_AMDK6_3(self):
+        return self.is_AMD() and self.info[0]['Family']==5 \
+               and self.info[0]['Model']==9
+
+    def _is_AMDK7(self):
+        return self.is_AMD() and self.info[0]['Family'] == 6
+
+    # To reliably distinguish between the different types of AMD64 chips
+    # (Athlon64, Operton, Athlon64 X2, Semperon, Turion 64, etc.) would
+    # require looking at the 'brand' from cpuid
+
+    def _is_AMD64(self):
+        return self.is_AMD() and self.info[0]['Family'] == 15
+
+    # Intel
+
+    def _is_Intel(self):
+        return self.info[0]['VendorIdentifier']=='GenuineIntel'
+
+    def _is_i386(self):
+        return self.info[0]['Family']==3
+
+    def _is_i486(self):
+        return self.info[0]['Family']==4
+
+    def _is_i586(self):
+        return self.is_Intel() and self.info[0]['Family']==5
+
+    def _is_i686(self):
+        return self.is_Intel() and self.info[0]['Family']==6
+
+    def _is_Pentium(self):
+        return self.is_Intel() and self.info[0]['Family']==5
+
+    def _is_PentiumMMX(self):
+        return self.is_Intel() and self.info[0]['Family']==5 \
+               and self.info[0]['Model']==4
+
+    def _is_PentiumPro(self):
+        return self.is_Intel() and self.info[0]['Family']==6 \
+               and self.info[0]['Model']==1
+
+    def _is_PentiumII(self):
+        return self.is_Intel() and self.info[0]['Family']==6 \
+               and self.info[0]['Model'] in [3, 5, 6]
+
+    def _is_PentiumIII(self):
+        return self.is_Intel() and self.info[0]['Family']==6 \
+               and self.info[0]['Model'] in [7, 8, 9, 10, 11]
+
+    def _is_PentiumIV(self):
+        return self.is_Intel() and self.info[0]['Family']==15
+
+    def _is_PentiumM(self):
+        return self.is_Intel() and self.info[0]['Family'] == 6 \
+               and self.info[0]['Model'] in [9, 13, 14]
+
+    def _is_Core2(self):
+        return self.is_Intel() and self.info[0]['Family'] == 6 \
+               and self.info[0]['Model'] in [15, 16, 17]
+
+    # Varia
+
+    def _is_singleCPU(self):
+        return len(self.info) == 1
+
+    def _getNCPUs(self):
+        return len(self.info)
+
+    def _has_mmx(self):
+        if self.is_Intel():
+            return (self.info[0]['Family']==5 and self.info[0]['Model']==4) \
+                   or (self.info[0]['Family'] in [6, 15])
+        elif self.is_AMD():
+            return self.info[0]['Family'] in [5, 6, 15]
+        else:
+            return False
+
+    def _has_sse(self):
+        if self.is_Intel():
+            return ((self.info[0]['Family']==6 and
+                     self.info[0]['Model'] in [7, 8, 9, 10, 11])
+                     or self.info[0]['Family']==15)
+        elif self.is_AMD():
+            return ((self.info[0]['Family']==6 and
+                     self.info[0]['Model'] in [6, 7, 8, 10])
+                     or self.info[0]['Family']==15)
+        else:
+            return False
+
+    def _has_sse2(self):
+        if self.is_Intel():
+            return self.is_Pentium4() or self.is_PentiumM() \
+                   or self.is_Core2()
+        elif self.is_AMD():
+            return self.is_AMD64()
+        else:
+            return False
+
+    def _has_3dnow(self):
+        return self.is_AMD() and self.info[0]['Family'] in [5, 6, 15]
+
+    def _has_3dnowext(self):
+        return self.is_AMD() and self.info[0]['Family'] in [6, 15]
+
+if sys.platform.startswith('linux'): # variations: linux2,linux-i386 (any others?)
+    cpuinfo = LinuxCPUInfo
+elif sys.platform.startswith('irix'):
+    cpuinfo = IRIXCPUInfo
+elif sys.platform == 'darwin':
+    cpuinfo = DarwinCPUInfo
+elif sys.platform.startswith('sunos'):
+    cpuinfo = SunOSCPUInfo
+elif sys.platform.startswith('win32'):
+    cpuinfo = Win32CPUInfo
+elif sys.platform.startswith('cygwin'):
+    cpuinfo = LinuxCPUInfo
+#XXX: other OS's. Eg. use _winreg on Win32. Or os.uname on unices.
+else:
+    cpuinfo = CPUInfoBase
+
+cpu = cpuinfo()
+
+#if __name__ == "__main__":
+#
+#    cpu.is_blaa()
+#    cpu.is_Intel()
+#    cpu.is_Alpha()
+#
+#    print('CPU information:'),
+#    for name in dir(cpuinfo):
+#        if name[0]=='_' and name[1]!='_':
+#            r = getattr(cpu,name[1:])()
+#            if r:
+#                if r!=1:
+#                    print('%s=%s' %(name[1:],r))
+#                else:
+#                    print(name[1:]),
+#    print()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/exec_command.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/exec_command.py
new file mode 100644
index 0000000000000000000000000000000000000000..2d06585a1497ceadc1d7f11079f17208504ee183
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/exec_command.py
@@ -0,0 +1,315 @@
+"""
+exec_command
+
+Implements exec_command function that is (almost) equivalent to
+commands.getstatusoutput function but on NT, DOS systems the
+returned status is actually correct (though, the returned status
+values may be different by a factor). In addition, exec_command
+takes keyword arguments for (re-)defining environment variables.
+
+Provides functions:
+
+  exec_command  --- execute command in a specified directory and
+                    in the modified environment.
+  find_executable --- locate a command using info from environment
+                    variable PATH. Equivalent to posix `which`
+                    command.
+
+Author: Pearu Peterson 
+Created: 11 January 2003
+
+Requires: Python 2.x
+
+Successfully tested on:
+
+========  ============  =================================================
+os.name   sys.platform  comments
+========  ============  =================================================
+posix     linux2        Debian (sid) Linux, Python 2.1.3+, 2.2.3+, 2.3.3
+                        PyCrust 0.9.3, Idle 1.0.2
+posix     linux2        Red Hat 9 Linux, Python 2.1.3, 2.2.2, 2.3.2
+posix     sunos5        SunOS 5.9, Python 2.2, 2.3.2
+posix     darwin        Darwin 7.2.0, Python 2.3
+nt        win32         Windows Me
+                        Python 2.3(EE), Idle 1.0, PyCrust 0.7.2
+                        Python 2.1.1 Idle 0.8
+nt        win32         Windows 98, Python 2.1.1. Idle 0.8
+nt        win32         Cygwin 98-4.10, Python 2.1.1(MSC) - echo tests
+                        fail i.e. redefining environment variables may
+                        not work. FIXED: don't use cygwin echo!
+                        Comment: also `cmd /c echo` will not work
+                        but redefining environment variables do work.
+posix     cygwin        Cygwin 98-4.10, Python 2.3.3(cygming special)
+nt        win32         Windows XP, Python 2.3.3
+========  ============  =================================================
+
+Known bugs:
+
+* Tests, that send messages to stderr, fail when executed from MSYS prompt
+  because the messages are lost at some point.
+
+"""
+__all__ = ['exec_command', 'find_executable']
+
+import os
+import sys
+import subprocess
+import locale
+import warnings
+
+from numpy.distutils.misc_util import is_sequence, make_temp_file
+from numpy.distutils import log
+
+def filepath_from_subprocess_output(output):
+    """
+    Convert `bytes` in the encoding used by a subprocess into a filesystem-appropriate `str`.
+
+    Inherited from `exec_command`, and possibly incorrect.
+    """
+    mylocale = locale.getpreferredencoding(False)
+    if mylocale is None:
+        mylocale = 'ascii'
+    output = output.decode(mylocale, errors='replace')
+    output = output.replace('\r\n', '\n')
+    # Another historical oddity
+    if output[-1:] == '\n':
+        output = output[:-1]
+    return output
+
+
+def forward_bytes_to_stdout(val):
+    """
+    Forward bytes from a subprocess call to the console, without attempting to
+    decode them.
+
+    The assumption is that the subprocess call already returned bytes in
+    a suitable encoding.
+    """
+    if hasattr(sys.stdout, 'buffer'):
+        # use the underlying binary output if there is one
+        sys.stdout.buffer.write(val)
+    elif hasattr(sys.stdout, 'encoding'):
+        # round-trip the encoding if necessary
+        sys.stdout.write(val.decode(sys.stdout.encoding))
+    else:
+        # make a best-guess at the encoding
+        sys.stdout.write(val.decode('utf8', errors='replace'))
+
+
+def temp_file_name():
+    # 2019-01-30, 1.17
+    warnings.warn('temp_file_name is deprecated since NumPy v1.17, use '
+                  'tempfile.mkstemp instead', DeprecationWarning, stacklevel=1)
+    fo, name = make_temp_file()
+    fo.close()
+    return name
+
+def get_pythonexe():
+    pythonexe = sys.executable
+    if os.name in ['nt', 'dos']:
+        fdir, fn = os.path.split(pythonexe)
+        fn = fn.upper().replace('PYTHONW', 'PYTHON')
+        pythonexe = os.path.join(fdir, fn)
+        assert os.path.isfile(pythonexe), '%r is not a file' % (pythonexe,)
+    return pythonexe
+
+def find_executable(exe, path=None, _cache={}):
+    """Return full path of a executable or None.
+
+    Symbolic links are not followed.
+    """
+    key = exe, path
+    try:
+        return _cache[key]
+    except KeyError:
+        pass
+    log.debug('find_executable(%r)' % exe)
+    orig_exe = exe
+
+    if path is None:
+        path = os.environ.get('PATH', os.defpath)
+    if os.name=='posix':
+        realpath = os.path.realpath
+    else:
+        realpath = lambda a:a
+
+    if exe.startswith('"'):
+        exe = exe[1:-1]
+
+    suffixes = ['']
+    if os.name in ['nt', 'dos', 'os2']:
+        fn, ext = os.path.splitext(exe)
+        extra_suffixes = ['.exe', '.com', '.bat']
+        if ext.lower() not in extra_suffixes:
+            suffixes = extra_suffixes
+
+    if os.path.isabs(exe):
+        paths = ['']
+    else:
+        paths = [ os.path.abspath(p) for p in path.split(os.pathsep) ]
+
+    for path in paths:
+        fn = os.path.join(path, exe)
+        for s in suffixes:
+            f_ext = fn+s
+            if not os.path.islink(f_ext):
+                f_ext = realpath(f_ext)
+            if os.path.isfile(f_ext) and os.access(f_ext, os.X_OK):
+                log.info('Found executable %s' % f_ext)
+                _cache[key] = f_ext
+                return f_ext
+
+    log.warn('Could not locate executable %s' % orig_exe)
+    return None
+
+############################################################
+
+def _preserve_environment( names ):
+    log.debug('_preserve_environment(%r)' % (names))
+    env = {name: os.environ.get(name) for name in names}
+    return env
+
+def _update_environment( **env ):
+    log.debug('_update_environment(...)')
+    for name, value in env.items():
+        os.environ[name] = value or ''
+
+def exec_command(command, execute_in='', use_shell=None, use_tee=None,
+                 _with_python = 1, **env ):
+    """
+    Return (status,output) of executed command.
+
+    .. deprecated:: 1.17
+        Use subprocess.Popen instead
+
+    Parameters
+    ----------
+    command : str
+        A concatenated string of executable and arguments.
+    execute_in : str
+        Before running command ``cd execute_in`` and after ``cd -``.
+    use_shell : {bool, None}, optional
+        If True, execute ``sh -c command``. Default None (True)
+    use_tee : {bool, None}, optional
+        If True use tee. Default None (True)
+
+
+    Returns
+    -------
+    res : str
+        Both stdout and stderr messages.
+
+    Notes
+    -----
+    On NT, DOS systems the returned status is correct for external commands.
+    Wild cards will not work for non-posix systems or when use_shell=0.
+
+    """
+    # 2019-01-30, 1.17
+    warnings.warn('exec_command is deprecated since NumPy v1.17, use '
+                  'subprocess.Popen instead', DeprecationWarning, stacklevel=1)
+    log.debug('exec_command(%r,%s)' % (command,
+         ','.join(['%s=%r'%kv for kv in env.items()])))
+
+    if use_tee is None:
+        use_tee = os.name=='posix'
+    if use_shell is None:
+        use_shell = os.name=='posix'
+    execute_in = os.path.abspath(execute_in)
+    oldcwd = os.path.abspath(os.getcwd())
+
+    if __name__[-12:] == 'exec_command':
+        exec_dir = os.path.dirname(os.path.abspath(__file__))
+    elif os.path.isfile('exec_command.py'):
+        exec_dir = os.path.abspath('.')
+    else:
+        exec_dir = os.path.abspath(sys.argv[0])
+        if os.path.isfile(exec_dir):
+            exec_dir = os.path.dirname(exec_dir)
+
+    if oldcwd!=execute_in:
+        os.chdir(execute_in)
+        log.debug('New cwd: %s' % execute_in)
+    else:
+        log.debug('Retaining cwd: %s' % oldcwd)
+
+    oldenv = _preserve_environment( list(env.keys()) )
+    _update_environment( **env )
+
+    try:
+        st = _exec_command(command,
+                           use_shell=use_shell,
+                           use_tee=use_tee,
+                           **env)
+    finally:
+        if oldcwd!=execute_in:
+            os.chdir(oldcwd)
+            log.debug('Restored cwd to %s' % oldcwd)
+        _update_environment(**oldenv)
+
+    return st
+
+
+def _exec_command(command, use_shell=None, use_tee = None, **env):
+    """
+    Internal workhorse for exec_command().
+    """
+    if use_shell is None:
+        use_shell = os.name=='posix'
+    if use_tee is None:
+        use_tee = os.name=='posix'
+
+    if os.name == 'posix' and use_shell:
+        # On POSIX, subprocess always uses /bin/sh, override
+        sh = os.environ.get('SHELL', '/bin/sh')
+        if is_sequence(command):
+            command = [sh, '-c', ' '.join(command)]
+        else:
+            command = [sh, '-c', command]
+        use_shell = False
+
+    elif os.name == 'nt' and is_sequence(command):
+        # On Windows, join the string for CreateProcess() ourselves as
+        # subprocess does it a bit differently
+        command = ' '.join(_quote_arg(arg) for arg in command)
+
+    # Inherit environment by default
+    env = env or None
+    try:
+        # text is set to False so that communicate()
+        # will return bytes. We need to decode the output ourselves
+        # so that Python will not raise a UnicodeDecodeError when
+        # it encounters an invalid character; rather, we simply replace it
+        proc = subprocess.Popen(command, shell=use_shell, env=env, text=False,
+                                stdout=subprocess.PIPE,
+                                stderr=subprocess.STDOUT)
+    except OSError:
+        # Return 127, as os.spawn*() and /bin/sh do
+        return 127, ''
+
+    text, err = proc.communicate()
+    mylocale = locale.getpreferredencoding(False)
+    if mylocale is None:
+        mylocale = 'ascii'
+    text = text.decode(mylocale, errors='replace')
+    text = text.replace('\r\n', '\n')
+    # Another historical oddity
+    if text[-1:] == '\n':
+        text = text[:-1]
+
+    if use_tee and text:
+        print(text)
+    return proc.returncode, text
+
+
+def _quote_arg(arg):
+    """
+    Quote the argument for safe use in a shell command line.
+    """
+    # If there is a quote in the string, assume relevant parts of the
+    # string are already quoted (e.g. '-I"C:\\Program Files\\..."')
+    if '"' not in arg and ' ' in arg:
+        return '"%s"' % arg
+    return arg
+
+############################################################
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/extension.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/extension.py
new file mode 100644
index 0000000000000000000000000000000000000000..06e6441e65df7ed516c4560aed832793fbfc1f4c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/extension.py
@@ -0,0 +1,101 @@
+"""distutils.extension
+
+Provides the Extension class, used to describe C/C++ extension
+modules in setup scripts.
+
+Overridden to support f2py.
+
+"""
+import re
+from distutils.extension import Extension as old_Extension
+
+
+cxx_ext_re = re.compile(r'.*\.(cpp|cxx|cc)\Z', re.I).match
+fortran_pyf_ext_re = re.compile(r'.*\.(f90|f95|f77|for|ftn|f|pyf)\Z', re.I).match
+
+
+class Extension(old_Extension):
+    """
+    Parameters
+    ----------
+    name : str
+        Extension name.
+    sources : list of str
+        List of source file locations relative to the top directory of
+        the package.
+    extra_compile_args : list of str
+        Extra command line arguments to pass to the compiler.
+    extra_f77_compile_args : list of str
+        Extra command line arguments to pass to the fortran77 compiler.
+    extra_f90_compile_args : list of str
+        Extra command line arguments to pass to the fortran90 compiler.
+    """
+    def __init__(
+            self, name, sources,
+            include_dirs=None,
+            define_macros=None,
+            undef_macros=None,
+            library_dirs=None,
+            libraries=None,
+            runtime_library_dirs=None,
+            extra_objects=None,
+            extra_compile_args=None,
+            extra_link_args=None,
+            export_symbols=None,
+            swig_opts=None,
+            depends=None,
+            language=None,
+            f2py_options=None,
+            module_dirs=None,
+            extra_c_compile_args=None,
+            extra_cxx_compile_args=None,
+            extra_f77_compile_args=None,
+            extra_f90_compile_args=None,):
+
+        old_Extension.__init__(
+                self, name, [],
+                include_dirs=include_dirs,
+                define_macros=define_macros,
+                undef_macros=undef_macros,
+                library_dirs=library_dirs,
+                libraries=libraries,
+                runtime_library_dirs=runtime_library_dirs,
+                extra_objects=extra_objects,
+                extra_compile_args=extra_compile_args,
+                extra_link_args=extra_link_args,
+                export_symbols=export_symbols)
+
+        # Avoid assert statements checking that sources contains strings:
+        self.sources = sources
+
+        # Python 2.4 distutils new features
+        self.swig_opts = swig_opts or []
+        # swig_opts is assumed to be a list. Here we handle the case where it
+        # is specified as a string instead.
+        if isinstance(self.swig_opts, str):
+            import warnings
+            msg = "swig_opts is specified as a string instead of a list"
+            warnings.warn(msg, SyntaxWarning, stacklevel=2)
+            self.swig_opts = self.swig_opts.split()
+
+        # Python 2.3 distutils new features
+        self.depends = depends or []
+        self.language = language
+
+        # numpy_distutils features
+        self.f2py_options = f2py_options or []
+        self.module_dirs = module_dirs or []
+        self.extra_c_compile_args = extra_c_compile_args or []
+        self.extra_cxx_compile_args = extra_cxx_compile_args or []
+        self.extra_f77_compile_args = extra_f77_compile_args or []
+        self.extra_f90_compile_args = extra_f90_compile_args or []
+
+        return
+
+    def has_cxx_sources(self):
+        return any(cxx_ext_re(str(source)) for source in self.sources)
+
+    def has_f2py_sources(self):
+        return any(fortran_pyf_ext_re(source) for source in self.sources)
+
+# class Extension
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..5160e2abf54f9c72f9b63901eb2417a21aba90dc
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/__init__.py
@@ -0,0 +1,1035 @@
+"""numpy.distutils.fcompiler
+
+Contains FCompiler, an abstract base class that defines the interface
+for the numpy.distutils Fortran compiler abstraction model.
+
+Terminology:
+
+To be consistent, where the term 'executable' is used, it means the single
+file, like 'gcc', that is executed, and should be a string. In contrast,
+'command' means the entire command line, like ['gcc', '-c', 'file.c'], and
+should be a list.
+
+But note that FCompiler.executables is actually a dictionary of commands.
+
+"""
+__all__ = ['FCompiler', 'new_fcompiler', 'show_fcompilers',
+           'dummy_fortran_file']
+
+import os
+import sys
+import re
+from pathlib import Path
+
+from distutils.sysconfig import get_python_lib
+from distutils.fancy_getopt import FancyGetopt
+from distutils.errors import DistutilsModuleError, \
+     DistutilsExecError, CompileError, LinkError, DistutilsPlatformError
+from distutils.util import split_quoted, strtobool
+
+from numpy.distutils.ccompiler import CCompiler, gen_lib_options
+from numpy.distutils import log
+from numpy.distutils.misc_util import is_string, all_strings, is_sequence, \
+    make_temp_file, get_shared_lib_extension
+from numpy.distutils.exec_command import find_executable
+from numpy.distutils import _shell_utils
+
+from .environment import EnvironmentConfig
+
+__metaclass__ = type
+
+
+FORTRAN_COMMON_FIXED_EXTENSIONS = ['.for', '.ftn', '.f77', '.f']
+
+
+class CompilerNotFound(Exception):
+    pass
+
+def flaglist(s):
+    if is_string(s):
+        return split_quoted(s)
+    else:
+        return s
+
+def str2bool(s):
+    if is_string(s):
+        return strtobool(s)
+    return bool(s)
+
+def is_sequence_of_strings(seq):
+    return is_sequence(seq) and all_strings(seq)
+
+class FCompiler(CCompiler):
+    """Abstract base class to define the interface that must be implemented
+    by real Fortran compiler classes.
+
+    Methods that subclasses may redefine:
+
+        update_executables(), find_executables(), get_version()
+        get_flags(), get_flags_opt(), get_flags_arch(), get_flags_debug()
+        get_flags_f77(), get_flags_opt_f77(), get_flags_arch_f77(),
+        get_flags_debug_f77(), get_flags_f90(), get_flags_opt_f90(),
+        get_flags_arch_f90(), get_flags_debug_f90(),
+        get_flags_fix(), get_flags_linker_so()
+
+    DON'T call these methods (except get_version) after
+    constructing a compiler instance or inside any other method.
+    All methods, except update_executables() and find_executables(),
+    may call the get_version() method.
+
+    After constructing a compiler instance, always call customize(dist=None)
+    method that finalizes compiler construction and makes the following
+    attributes available:
+      compiler_f77
+      compiler_f90
+      compiler_fix
+      linker_so
+      archiver
+      ranlib
+      libraries
+      library_dirs
+    """
+
+    # These are the environment variables and distutils keys used.
+    # Each configuration description is
+    # (, , , , )
+    # The hook names are handled by the self._environment_hook method.
+    #  - names starting with 'self.' call methods in this class
+    #  - names starting with 'exe.' return the key in the executables dict
+    #  - names like 'flags.YYY' return self.get_flag_YYY()
+    # convert is either None or a function to convert a string to the
+    # appropriate type used.
+
+    distutils_vars = EnvironmentConfig(
+        distutils_section='config_fc',
+        noopt = (None, None, 'noopt', str2bool, False),
+        noarch = (None, None, 'noarch', str2bool, False),
+        debug = (None, None, 'debug', str2bool, False),
+        verbose = (None, None, 'verbose', str2bool, False),
+    )
+
+    command_vars = EnvironmentConfig(
+        distutils_section='config_fc',
+        compiler_f77 = ('exe.compiler_f77', 'F77', 'f77exec', None, False),
+        compiler_f90 = ('exe.compiler_f90', 'F90', 'f90exec', None, False),
+        compiler_fix = ('exe.compiler_fix', 'F90', 'f90exec', None, False),
+        version_cmd = ('exe.version_cmd', None, None, None, False),
+        linker_so = ('exe.linker_so', 'LDSHARED', 'ldshared', None, False),
+        linker_exe = ('exe.linker_exe', 'LD', 'ld', None, False),
+        archiver = (None, 'AR', 'ar', None, False),
+        ranlib = (None, 'RANLIB', 'ranlib', None, False),
+    )
+
+    flag_vars = EnvironmentConfig(
+        distutils_section='config_fc',
+        f77 = ('flags.f77', 'F77FLAGS', 'f77flags', flaglist, True),
+        f90 = ('flags.f90', 'F90FLAGS', 'f90flags', flaglist, True),
+        free = ('flags.free', 'FREEFLAGS', 'freeflags', flaglist, True),
+        fix = ('flags.fix', None, None, flaglist, False),
+        opt = ('flags.opt', 'FOPT', 'opt', flaglist, True),
+        opt_f77 = ('flags.opt_f77', None, None, flaglist, False),
+        opt_f90 = ('flags.opt_f90', None, None, flaglist, False),
+        arch = ('flags.arch', 'FARCH', 'arch', flaglist, False),
+        arch_f77 = ('flags.arch_f77', None, None, flaglist, False),
+        arch_f90 = ('flags.arch_f90', None, None, flaglist, False),
+        debug = ('flags.debug', 'FDEBUG', 'fdebug', flaglist, True),
+        debug_f77 = ('flags.debug_f77', None, None, flaglist, False),
+        debug_f90 = ('flags.debug_f90', None, None, flaglist, False),
+        flags = ('self.get_flags', 'FFLAGS', 'fflags', flaglist, True),
+        linker_so = ('flags.linker_so', 'LDFLAGS', 'ldflags', flaglist, True),
+        linker_exe = ('flags.linker_exe', 'LDFLAGS', 'ldflags', flaglist, True),
+        ar = ('flags.ar', 'ARFLAGS', 'arflags', flaglist, True),
+    )
+
+    language_map = {'.f': 'f77',
+                    '.for': 'f77',
+                    '.F': 'f77',    # XXX: needs preprocessor
+                    '.ftn': 'f77',
+                    '.f77': 'f77',
+                    '.f90': 'f90',
+                    '.F90': 'f90',  # XXX: needs preprocessor
+                    '.f95': 'f90',
+                    }
+    language_order = ['f90', 'f77']
+
+
+    # These will be set by the subclass
+
+    compiler_type = None
+    compiler_aliases = ()
+    version_pattern = None
+
+    possible_executables = []
+    executables = {
+        'version_cmd': ["f77", "-v"],
+        'compiler_f77': ["f77"],
+        'compiler_f90': ["f90"],
+        'compiler_fix': ["f90", "-fixed"],
+        'linker_so': ["f90", "-shared"],
+        'linker_exe': ["f90"],
+        'archiver': ["ar", "-cr"],
+        'ranlib': None,
+        }
+
+    # If compiler does not support compiling Fortran 90 then it can
+    # suggest using another compiler. For example, gnu would suggest
+    # gnu95 compiler type when there are F90 sources.
+    suggested_f90_compiler = None
+
+    compile_switch = "-c"
+    object_switch = "-o "   # Ending space matters! It will be stripped
+                            # but if it is missing then object_switch
+                            # will be prefixed to object file name by
+                            # string concatenation.
+    library_switch = "-o "  # Ditto!
+
+    # Switch to specify where module files are created and searched
+    # for USE statement.  Normally it is a string and also here ending
+    # space matters. See above.
+    module_dir_switch = None
+
+    # Switch to specify where module files are searched for USE statement.
+    module_include_switch = '-I'
+
+    pic_flags = []           # Flags to create position-independent code
+
+    src_extensions = ['.for', '.ftn', '.f77', '.f', '.f90', '.f95', '.F', '.F90', '.FOR']
+    obj_extension = ".o"
+
+    shared_lib_extension = get_shared_lib_extension()
+    static_lib_extension = ".a"  # or .lib
+    static_lib_format = "lib%s%s" # or %s%s
+    shared_lib_format = "%s%s"
+    exe_extension = ""
+
+    _exe_cache = {}
+
+    _executable_keys = ['version_cmd', 'compiler_f77', 'compiler_f90',
+                        'compiler_fix', 'linker_so', 'linker_exe', 'archiver',
+                        'ranlib']
+
+    # This will be set by new_fcompiler when called in
+    # command/{build_ext.py, build_clib.py, config.py} files.
+    c_compiler = None
+
+    # extra_{f77,f90}_compile_args are set by build_ext.build_extension method
+    extra_f77_compile_args = []
+    extra_f90_compile_args = []
+
+    def __init__(self, *args, **kw):
+        CCompiler.__init__(self, *args, **kw)
+        self.distutils_vars = self.distutils_vars.clone(self._environment_hook)
+        self.command_vars = self.command_vars.clone(self._environment_hook)
+        self.flag_vars = self.flag_vars.clone(self._environment_hook)
+        self.executables = self.executables.copy()
+        for e in self._executable_keys:
+            if e not in self.executables:
+                self.executables[e] = None
+
+        # Some methods depend on .customize() being called first, so
+        # this keeps track of whether that's happened yet.
+        self._is_customised = False
+
+    def __copy__(self):
+        obj = self.__new__(self.__class__)
+        obj.__dict__.update(self.__dict__)
+        obj.distutils_vars = obj.distutils_vars.clone(obj._environment_hook)
+        obj.command_vars = obj.command_vars.clone(obj._environment_hook)
+        obj.flag_vars = obj.flag_vars.clone(obj._environment_hook)
+        obj.executables = obj.executables.copy()
+        return obj
+
+    def copy(self):
+        return self.__copy__()
+
+    # Use properties for the attributes used by CCompiler. Setting them
+    # as attributes from the self.executables dictionary is error-prone,
+    # so we get them from there each time.
+    def _command_property(key):
+        def fget(self):
+            assert self._is_customised
+            return self.executables[key]
+        return property(fget=fget)
+    version_cmd = _command_property('version_cmd')
+    compiler_f77 = _command_property('compiler_f77')
+    compiler_f90 = _command_property('compiler_f90')
+    compiler_fix = _command_property('compiler_fix')
+    linker_so = _command_property('linker_so')
+    linker_exe = _command_property('linker_exe')
+    archiver = _command_property('archiver')
+    ranlib = _command_property('ranlib')
+
+    # Make our terminology consistent.
+    def set_executable(self, key, value):
+        self.set_command(key, value)
+
+    def set_commands(self, **kw):
+        for k, v in kw.items():
+            self.set_command(k, v)
+
+    def set_command(self, key, value):
+        if not key in self._executable_keys:
+            raise ValueError(
+                "unknown executable '%s' for class %s" %
+                (key, self.__class__.__name__))
+        if is_string(value):
+            value = split_quoted(value)
+        assert value is None or is_sequence_of_strings(value[1:]), (key, value)
+        self.executables[key] = value
+
+    ######################################################################
+    ## Methods that subclasses may redefine. But don't call these methods!
+    ## They are private to FCompiler class and may return unexpected
+    ## results if used elsewhere. So, you have been warned..
+
+    def find_executables(self):
+        """Go through the self.executables dictionary, and attempt to
+        find and assign appropriate executables.
+
+        Executable names are looked for in the environment (environment
+        variables, the distutils.cfg, and command line), the 0th-element of
+        the command list, and the self.possible_executables list.
+
+        Also, if the 0th element is "" or "", the Fortran 77
+        or the Fortran 90 compiler executable is used, unless overridden
+        by an environment setting.
+
+        Subclasses should call this if overridden.
+        """
+        assert self._is_customised
+        exe_cache = self._exe_cache
+        def cached_find_executable(exe):
+            if exe in exe_cache:
+                return exe_cache[exe]
+            fc_exe = find_executable(exe)
+            exe_cache[exe] = exe_cache[fc_exe] = fc_exe
+            return fc_exe
+        def verify_command_form(name, value):
+            if value is not None and not is_sequence_of_strings(value):
+                raise ValueError(
+                    "%s value %r is invalid in class %s" %
+                    (name, value, self.__class__.__name__))
+        def set_exe(exe_key, f77=None, f90=None):
+            cmd = self.executables.get(exe_key, None)
+            if not cmd:
+                return None
+            # Note that we get cmd[0] here if the environment doesn't
+            # have anything set
+            exe_from_environ = getattr(self.command_vars, exe_key)
+            if not exe_from_environ:
+                possibles = [f90, f77] + self.possible_executables
+            else:
+                possibles = [exe_from_environ] + self.possible_executables
+
+            seen = set()
+            unique_possibles = []
+            for e in possibles:
+                if e == '':
+                    e = f77
+                elif e == '':
+                    e = f90
+                if not e or e in seen:
+                    continue
+                seen.add(e)
+                unique_possibles.append(e)
+
+            for exe in unique_possibles:
+                fc_exe = cached_find_executable(exe)
+                if fc_exe:
+                    cmd[0] = fc_exe
+                    return fc_exe
+            self.set_command(exe_key, None)
+            return None
+
+        ctype = self.compiler_type
+        f90 = set_exe('compiler_f90')
+        if not f90:
+            f77 = set_exe('compiler_f77')
+            if f77:
+                log.warn('%s: no Fortran 90 compiler found' % ctype)
+            else:
+                raise CompilerNotFound('%s: f90 nor f77' % ctype)
+        else:
+            f77 = set_exe('compiler_f77', f90=f90)
+            if not f77:
+                log.warn('%s: no Fortran 77 compiler found' % ctype)
+            set_exe('compiler_fix', f90=f90)
+
+        set_exe('linker_so', f77=f77, f90=f90)
+        set_exe('linker_exe', f77=f77, f90=f90)
+        set_exe('version_cmd', f77=f77, f90=f90)
+        set_exe('archiver')
+        set_exe('ranlib')
+
+    def update_executables(self):
+        """Called at the beginning of customisation. Subclasses should
+        override this if they need to set up the executables dictionary.
+
+        Note that self.find_executables() is run afterwards, so the
+        self.executables dictionary values can contain  or  as
+        the command, which will be replaced by the found F77 or F90
+        compiler.
+        """
+        pass
+
+    def get_flags(self):
+        """List of flags common to all compiler types."""
+        return [] + self.pic_flags
+
+    def _get_command_flags(self, key):
+        cmd = self.executables.get(key, None)
+        if cmd is None:
+            return []
+        return cmd[1:]
+
+    def get_flags_f77(self):
+        """List of Fortran 77 specific flags."""
+        return self._get_command_flags('compiler_f77')
+    def get_flags_f90(self):
+        """List of Fortran 90 specific flags."""
+        return self._get_command_flags('compiler_f90')
+    def get_flags_free(self):
+        """List of Fortran 90 free format specific flags."""
+        return []
+    def get_flags_fix(self):
+        """List of Fortran 90 fixed format specific flags."""
+        return self._get_command_flags('compiler_fix')
+    def get_flags_linker_so(self):
+        """List of linker flags to build a shared library."""
+        return self._get_command_flags('linker_so')
+    def get_flags_linker_exe(self):
+        """List of linker flags to build an executable."""
+        return self._get_command_flags('linker_exe')
+    def get_flags_ar(self):
+        """List of archiver flags. """
+        return self._get_command_flags('archiver')
+    def get_flags_opt(self):
+        """List of architecture independent compiler flags."""
+        return []
+    def get_flags_arch(self):
+        """List of architecture dependent compiler flags."""
+        return []
+    def get_flags_debug(self):
+        """List of compiler flags to compile with debugging information."""
+        return []
+
+    get_flags_opt_f77 = get_flags_opt_f90 = get_flags_opt
+    get_flags_arch_f77 = get_flags_arch_f90 = get_flags_arch
+    get_flags_debug_f77 = get_flags_debug_f90 = get_flags_debug
+
+    def get_libraries(self):
+        """List of compiler libraries."""
+        return self.libraries[:]
+    def get_library_dirs(self):
+        """List of compiler library directories."""
+        return self.library_dirs[:]
+
+    def get_version(self, force=False, ok_status=[0]):
+        assert self._is_customised
+        version = CCompiler.get_version(self, force=force, ok_status=ok_status)
+        if version is None:
+            raise CompilerNotFound()
+        return version
+
+
+    ############################################################
+
+    ## Public methods:
+
+    def customize(self, dist = None):
+        """Customize Fortran compiler.
+
+        This method gets Fortran compiler specific information from
+        (i) class definition, (ii) environment, (iii) distutils config
+        files, and (iv) command line (later overrides earlier).
+
+        This method should be always called after constructing a
+        compiler instance. But not in __init__ because Distribution
+        instance is needed for (iii) and (iv).
+        """
+        log.info('customize %s' % (self.__class__.__name__))
+
+        self._is_customised = True
+
+        self.distutils_vars.use_distribution(dist)
+        self.command_vars.use_distribution(dist)
+        self.flag_vars.use_distribution(dist)
+
+        self.update_executables()
+
+        # find_executables takes care of setting the compiler commands,
+        # version_cmd, linker_so, linker_exe, ar, and ranlib
+        self.find_executables()
+
+        noopt = self.distutils_vars.get('noopt', False)
+        noarch = self.distutils_vars.get('noarch', noopt)
+        debug = self.distutils_vars.get('debug', False)
+
+        f77 = self.command_vars.compiler_f77
+        f90 = self.command_vars.compiler_f90
+
+        f77flags = []
+        f90flags = []
+        freeflags = []
+        fixflags = []
+
+        if f77:
+            f77 = _shell_utils.NativeParser.split(f77)
+            f77flags = self.flag_vars.f77
+        if f90:
+            f90 = _shell_utils.NativeParser.split(f90)
+            f90flags = self.flag_vars.f90
+            freeflags = self.flag_vars.free
+        # XXX Assuming that free format is default for f90 compiler.
+        fix = self.command_vars.compiler_fix
+        # NOTE: this and similar examples are probably just
+        # excluding --coverage flag when F90 = gfortran --coverage
+        # instead of putting that flag somewhere more appropriate
+        # this and similar examples where a Fortran compiler
+        # environment variable has been customized by CI or a user
+        # should perhaps eventually be more thoroughly tested and more
+        # robustly handled
+        if fix:
+            fix = _shell_utils.NativeParser.split(fix)
+            fixflags = self.flag_vars.fix + f90flags
+
+        oflags, aflags, dflags = [], [], []
+        # examine get_flags__ for extra flags
+        # only add them if the method is different from get_flags_
+        def get_flags(tag, flags):
+            # note that self.flag_vars. calls self.get_flags_()
+            flags.extend(getattr(self.flag_vars, tag))
+            this_get = getattr(self, 'get_flags_' + tag)
+            for name, c, flagvar in [('f77', f77, f77flags),
+                                     ('f90', f90, f90flags),
+                                     ('f90', fix, fixflags)]:
+                t = '%s_%s' % (tag, name)
+                if c and this_get is not getattr(self, 'get_flags_' + t):
+                    flagvar.extend(getattr(self.flag_vars, t))
+        if not noopt:
+            get_flags('opt', oflags)
+            if not noarch:
+                get_flags('arch', aflags)
+        if debug:
+            get_flags('debug', dflags)
+
+        fflags = self.flag_vars.flags + dflags + oflags + aflags
+
+        if f77:
+            self.set_commands(compiler_f77=f77+f77flags+fflags)
+        if f90:
+            self.set_commands(compiler_f90=f90+freeflags+f90flags+fflags)
+        if fix:
+            self.set_commands(compiler_fix=fix+fixflags+fflags)
+
+
+        #XXX: Do we need LDSHARED->SOSHARED, LDFLAGS->SOFLAGS
+        linker_so = self.linker_so
+        if linker_so:
+            linker_so_flags = self.flag_vars.linker_so
+            if sys.platform.startswith('aix'):
+                python_lib = get_python_lib(standard_lib=1)
+                ld_so_aix = os.path.join(python_lib, 'config', 'ld_so_aix')
+                python_exp = os.path.join(python_lib, 'config', 'python.exp')
+                linker_so = [ld_so_aix] + linker_so + ['-bI:'+python_exp]
+            if sys.platform.startswith('os400'):
+                from distutils.sysconfig import get_config_var
+                python_config = get_config_var('LIBPL')
+                ld_so_aix = os.path.join(python_config, 'ld_so_aix')
+                python_exp = os.path.join(python_config, 'python.exp')
+                linker_so = [ld_so_aix] + linker_so + ['-bI:'+python_exp]
+            self.set_commands(linker_so=linker_so+linker_so_flags)
+
+        linker_exe = self.linker_exe
+        if linker_exe:
+            linker_exe_flags = self.flag_vars.linker_exe
+            self.set_commands(linker_exe=linker_exe+linker_exe_flags)
+
+        ar = self.command_vars.archiver
+        if ar:
+            arflags = self.flag_vars.ar
+            self.set_commands(archiver=[ar]+arflags)
+
+        self.set_library_dirs(self.get_library_dirs())
+        self.set_libraries(self.get_libraries())
+
+    def dump_properties(self):
+        """Print out the attributes of a compiler instance."""
+        props = []
+        for key in list(self.executables.keys()) + \
+                ['version', 'libraries', 'library_dirs',
+                 'object_switch', 'compile_switch']:
+            if hasattr(self, key):
+                v = getattr(self, key)
+                props.append((key, None, '= '+repr(v)))
+        props.sort()
+
+        pretty_printer = FancyGetopt(props)
+        for l in pretty_printer.generate_help("%s instance properties:" \
+                                              % (self.__class__.__name__)):
+            if l[:4]=='  --':
+                l = '  ' + l[4:]
+            print(l)
+
+    ###################
+
+    def _compile(self, obj, src, ext, cc_args, extra_postargs, pp_opts):
+        """Compile 'src' to product 'obj'."""
+        src_flags = {}
+        if Path(src).suffix.lower() in FORTRAN_COMMON_FIXED_EXTENSIONS \
+           and not has_f90_header(src):
+            flavor = ':f77'
+            compiler = self.compiler_f77
+            src_flags = get_f77flags(src)
+            extra_compile_args = self.extra_f77_compile_args or []
+        elif is_free_format(src):
+            flavor = ':f90'
+            compiler = self.compiler_f90
+            if compiler is None:
+                raise DistutilsExecError('f90 not supported by %s needed for %s'\
+                      % (self.__class__.__name__, src))
+            extra_compile_args = self.extra_f90_compile_args or []
+        else:
+            flavor = ':fix'
+            compiler = self.compiler_fix
+            if compiler is None:
+                raise DistutilsExecError('f90 (fixed) not supported by %s needed for %s'\
+                      % (self.__class__.__name__, src))
+            extra_compile_args = self.extra_f90_compile_args or []
+        if self.object_switch[-1]==' ':
+            o_args = [self.object_switch.strip(), obj]
+        else:
+            o_args = [self.object_switch.strip()+obj]
+
+        assert self.compile_switch.strip()
+        s_args = [self.compile_switch, src]
+
+        if extra_compile_args:
+            log.info('extra %s options: %r' \
+                     % (flavor[1:], ' '.join(extra_compile_args)))
+
+        extra_flags = src_flags.get(self.compiler_type, [])
+        if extra_flags:
+            log.info('using compile options from source: %r' \
+                     % ' '.join(extra_flags))
+
+        command = compiler + cc_args + extra_flags + s_args + o_args \
+                  + extra_postargs + extra_compile_args
+
+        display = '%s: %s' % (os.path.basename(compiler[0]) + flavor,
+                              src)
+        try:
+            self.spawn(command, display=display)
+        except DistutilsExecError as e:
+            msg = str(e)
+            raise CompileError(msg) from None
+
+    def module_options(self, module_dirs, module_build_dir):
+        options = []
+        if self.module_dir_switch is not None:
+            if self.module_dir_switch[-1]==' ':
+                options.extend([self.module_dir_switch.strip(), module_build_dir])
+            else:
+                options.append(self.module_dir_switch.strip()+module_build_dir)
+        else:
+            print('XXX: module_build_dir=%r option ignored' % (module_build_dir))
+            print('XXX: Fix module_dir_switch for ', self.__class__.__name__)
+        if self.module_include_switch is not None:
+            for d in [module_build_dir]+module_dirs:
+                options.append('%s%s' % (self.module_include_switch, d))
+        else:
+            print('XXX: module_dirs=%r option ignored' % (module_dirs))
+            print('XXX: Fix module_include_switch for ', self.__class__.__name__)
+        return options
+
+    def library_option(self, lib):
+        return "-l" + lib
+    def library_dir_option(self, dir):
+        return "-L" + dir
+
+    def link(self, target_desc, objects,
+             output_filename, output_dir=None, libraries=None,
+             library_dirs=None, runtime_library_dirs=None,
+             export_symbols=None, debug=0, extra_preargs=None,
+             extra_postargs=None, build_temp=None, target_lang=None):
+        objects, output_dir = self._fix_object_args(objects, output_dir)
+        libraries, library_dirs, runtime_library_dirs = \
+            self._fix_lib_args(libraries, library_dirs, runtime_library_dirs)
+
+        lib_opts = gen_lib_options(self, library_dirs, runtime_library_dirs,
+                                   libraries)
+        if is_string(output_dir):
+            output_filename = os.path.join(output_dir, output_filename)
+        elif output_dir is not None:
+            raise TypeError("'output_dir' must be a string or None")
+
+        if self._need_link(objects, output_filename):
+            if self.library_switch[-1]==' ':
+                o_args = [self.library_switch.strip(), output_filename]
+            else:
+                o_args = [self.library_switch.strip()+output_filename]
+
+            if is_string(self.objects):
+                ld_args = objects + [self.objects]
+            else:
+                ld_args = objects + self.objects
+            ld_args = ld_args + lib_opts + o_args
+            if debug:
+                ld_args[:0] = ['-g']
+            if extra_preargs:
+                ld_args[:0] = extra_preargs
+            if extra_postargs:
+                ld_args.extend(extra_postargs)
+            self.mkpath(os.path.dirname(output_filename))
+            if target_desc == CCompiler.EXECUTABLE:
+                linker = self.linker_exe[:]
+            else:
+                linker = self.linker_so[:]
+            command = linker + ld_args
+            try:
+                self.spawn(command)
+            except DistutilsExecError as e:
+                msg = str(e)
+                raise LinkError(msg) from None
+        else:
+            log.debug("skipping %s (up-to-date)", output_filename)
+
+    def _environment_hook(self, name, hook_name):
+        if hook_name is None:
+            return None
+        if is_string(hook_name):
+            if hook_name.startswith('self.'):
+                hook_name = hook_name[5:]
+                hook = getattr(self, hook_name)
+                return hook()
+            elif hook_name.startswith('exe.'):
+                hook_name = hook_name[4:]
+                var = self.executables[hook_name]
+                if var:
+                    return var[0]
+                else:
+                    return None
+            elif hook_name.startswith('flags.'):
+                hook_name = hook_name[6:]
+                hook = getattr(self, 'get_flags_' + hook_name)
+                return hook()
+        else:
+            return hook_name()
+
+    def can_ccompiler_link(self, ccompiler):
+        """
+        Check if the given C compiler can link objects produced by
+        this compiler.
+        """
+        return True
+
+    def wrap_unlinkable_objects(self, objects, output_dir, extra_dll_dir):
+        """
+        Convert a set of object files that are not compatible with the default
+        linker, to a file that is compatible.
+
+        Parameters
+        ----------
+        objects : list
+            List of object files to include.
+        output_dir : str
+            Output directory to place generated object files.
+        extra_dll_dir : str
+            Output directory to place extra DLL files that need to be
+            included on Windows.
+
+        Returns
+        -------
+        converted_objects : list of str
+             List of converted object files.
+             Note that the number of output files is not necessarily
+             the same as inputs.
+
+        """
+        raise NotImplementedError()
+
+    ## class FCompiler
+
+_default_compilers = (
+    # sys.platform mappings
+    ('win32', ('gnu', 'intelv', 'absoft', 'compaqv', 'intelev', 'gnu95', 'g95',
+               'intelvem', 'intelem', 'flang')),
+    ('cygwin.*', ('gnu', 'intelv', 'absoft', 'compaqv', 'intelev', 'gnu95', 'g95')),
+    ('linux.*', ('arm', 'gnu95', 'intel', 'lahey', 'pg', 'nv', 'absoft', 'nag',
+                 'vast', 'compaq', 'intele', 'intelem', 'gnu', 'g95', 
+                 'pathf95', 'nagfor', 'fujitsu')),
+    ('darwin.*', ('gnu95', 'nag', 'nagfor', 'absoft', 'ibm', 'intel', 'gnu',
+                 'g95', 'pg')),
+    ('sunos.*', ('sun', 'gnu', 'gnu95', 'g95')),
+    ('irix.*', ('mips', 'gnu', 'gnu95',)),
+    ('aix.*', ('ibm', 'gnu', 'gnu95',)),
+    # os.name mappings
+    ('posix', ('gnu', 'gnu95',)),
+    ('nt', ('gnu', 'gnu95',)),
+    ('mac', ('gnu95', 'gnu', 'pg')),
+    )
+
+fcompiler_class = None
+fcompiler_aliases = None
+
+def load_all_fcompiler_classes():
+    """Cache all the FCompiler classes found in modules in the
+    numpy.distutils.fcompiler package.
+    """
+    from glob import glob
+    global fcompiler_class, fcompiler_aliases
+    if fcompiler_class is not None:
+        return
+    pys = os.path.join(os.path.dirname(__file__), '*.py')
+    fcompiler_class = {}
+    fcompiler_aliases = {}
+    for fname in glob(pys):
+        module_name, ext = os.path.splitext(os.path.basename(fname))
+        module_name = 'numpy.distutils.fcompiler.' + module_name
+        __import__ (module_name)
+        module = sys.modules[module_name]
+        if hasattr(module, 'compilers'):
+            for cname in module.compilers:
+                klass = getattr(module, cname)
+                desc = (klass.compiler_type, klass, klass.description)
+                fcompiler_class[klass.compiler_type] = desc
+                for alias in klass.compiler_aliases:
+                    if alias in fcompiler_aliases:
+                        raise ValueError("alias %r defined for both %s and %s"
+                                         % (alias, klass.__name__,
+                                            fcompiler_aliases[alias][1].__name__))
+                    fcompiler_aliases[alias] = desc
+
+def _find_existing_fcompiler(compiler_types,
+                             osname=None, platform=None,
+                             requiref90=False,
+                             c_compiler=None):
+    from numpy.distutils.core import get_distribution
+    dist = get_distribution(always=True)
+    for compiler_type in compiler_types:
+        v = None
+        try:
+            c = new_fcompiler(plat=platform, compiler=compiler_type,
+                              c_compiler=c_compiler)
+            c.customize(dist)
+            v = c.get_version()
+            if requiref90 and c.compiler_f90 is None:
+                v = None
+                new_compiler = c.suggested_f90_compiler
+                if new_compiler:
+                    log.warn('Trying %r compiler as suggested by %r '
+                             'compiler for f90 support.' % (compiler_type,
+                                                            new_compiler))
+                    c = new_fcompiler(plat=platform, compiler=new_compiler,
+                                      c_compiler=c_compiler)
+                    c.customize(dist)
+                    v = c.get_version()
+                    if v is not None:
+                        compiler_type = new_compiler
+            if requiref90 and c.compiler_f90 is None:
+                raise ValueError('%s does not support compiling f90 codes, '
+                                 'skipping.' % (c.__class__.__name__))
+        except DistutilsModuleError:
+            log.debug("_find_existing_fcompiler: compiler_type='%s' raised DistutilsModuleError", compiler_type)
+        except CompilerNotFound:
+            log.debug("_find_existing_fcompiler: compiler_type='%s' not found", compiler_type)
+        if v is not None:
+            return compiler_type
+    return None
+
+def available_fcompilers_for_platform(osname=None, platform=None):
+    if osname is None:
+        osname = os.name
+    if platform is None:
+        platform = sys.platform
+    matching_compiler_types = []
+    for pattern, compiler_type in _default_compilers:
+        if re.match(pattern, platform) or re.match(pattern, osname):
+            for ct in compiler_type:
+                if ct not in matching_compiler_types:
+                    matching_compiler_types.append(ct)
+    if not matching_compiler_types:
+        matching_compiler_types.append('gnu')
+    return matching_compiler_types
+
+def get_default_fcompiler(osname=None, platform=None, requiref90=False,
+                          c_compiler=None):
+    """Determine the default Fortran compiler to use for the given
+    platform."""
+    matching_compiler_types = available_fcompilers_for_platform(osname,
+                                                                platform)
+    log.info("get_default_fcompiler: matching types: '%s'",
+             matching_compiler_types)
+    compiler_type =  _find_existing_fcompiler(matching_compiler_types,
+                                              osname=osname,
+                                              platform=platform,
+                                              requiref90=requiref90,
+                                              c_compiler=c_compiler)
+    return compiler_type
+
+# Flag to avoid rechecking for Fortran compiler every time
+failed_fcompilers = set()
+
+def new_fcompiler(plat=None,
+                  compiler=None,
+                  verbose=0,
+                  dry_run=0,
+                  force=0,
+                  requiref90=False,
+                  c_compiler = None):
+    """Generate an instance of some FCompiler subclass for the supplied
+    platform/compiler combination.
+    """
+    global failed_fcompilers
+    fcompiler_key = (plat, compiler)
+    if fcompiler_key in failed_fcompilers:
+        return None
+
+    load_all_fcompiler_classes()
+    if plat is None:
+        plat = os.name
+    if compiler is None:
+        compiler = get_default_fcompiler(plat, requiref90=requiref90,
+                                         c_compiler=c_compiler)
+    if compiler in fcompiler_class:
+        module_name, klass, long_description = fcompiler_class[compiler]
+    elif compiler in fcompiler_aliases:
+        module_name, klass, long_description = fcompiler_aliases[compiler]
+    else:
+        msg = "don't know how to compile Fortran code on platform '%s'" % plat
+        if compiler is not None:
+            msg = msg + " with '%s' compiler." % compiler
+            msg = msg + " Supported compilers are: %s)" \
+                  % (','.join(fcompiler_class.keys()))
+        log.warn(msg)
+        failed_fcompilers.add(fcompiler_key)
+        return None
+
+    compiler = klass(verbose=verbose, dry_run=dry_run, force=force)
+    compiler.c_compiler = c_compiler
+    return compiler
+
+def show_fcompilers(dist=None):
+    """Print list of available compilers (used by the "--help-fcompiler"
+    option to "config_fc").
+    """
+    if dist is None:
+        from distutils.dist import Distribution
+        from numpy.distutils.command.config_compiler import config_fc
+        dist = Distribution()
+        dist.script_name = os.path.basename(sys.argv[0])
+        dist.script_args = ['config_fc'] + sys.argv[1:]
+        try:
+            dist.script_args.remove('--help-fcompiler')
+        except ValueError:
+            pass
+        dist.cmdclass['config_fc'] = config_fc
+        dist.parse_config_files()
+        dist.parse_command_line()
+    compilers = []
+    compilers_na = []
+    compilers_ni = []
+    if not fcompiler_class:
+        load_all_fcompiler_classes()
+    platform_compilers = available_fcompilers_for_platform()
+    for compiler in platform_compilers:
+        v = None
+        log.set_verbosity(-2)
+        try:
+            c = new_fcompiler(compiler=compiler, verbose=dist.verbose)
+            c.customize(dist)
+            v = c.get_version()
+        except (DistutilsModuleError, CompilerNotFound) as e:
+            log.debug("show_fcompilers: %s not found" % (compiler,))
+            log.debug(repr(e))
+
+        if v is None:
+            compilers_na.append(("fcompiler="+compiler, None,
+                              fcompiler_class[compiler][2]))
+        else:
+            c.dump_properties()
+            compilers.append(("fcompiler="+compiler, None,
+                              fcompiler_class[compiler][2] + ' (%s)' % v))
+
+    compilers_ni = list(set(fcompiler_class.keys()) - set(platform_compilers))
+    compilers_ni = [("fcompiler="+fc, None, fcompiler_class[fc][2])
+                    for fc in compilers_ni]
+
+    compilers.sort()
+    compilers_na.sort()
+    compilers_ni.sort()
+    pretty_printer = FancyGetopt(compilers)
+    pretty_printer.print_help("Fortran compilers found:")
+    pretty_printer = FancyGetopt(compilers_na)
+    pretty_printer.print_help("Compilers available for this "
+                              "platform, but not found:")
+    if compilers_ni:
+        pretty_printer = FancyGetopt(compilers_ni)
+        pretty_printer.print_help("Compilers not available on this platform:")
+    print("For compiler details, run 'config_fc --verbose' setup command.")
+
+
+def dummy_fortran_file():
+    fo, name = make_temp_file(suffix='.f')
+    fo.write("      subroutine dummy()\n      end\n")
+    fo.close()
+    return name[:-2]
+
+
+_has_f_header = re.compile(r'-\*-\s*fortran\s*-\*-', re.I).search
+_has_f90_header = re.compile(r'-\*-\s*f90\s*-\*-', re.I).search
+_has_fix_header = re.compile(r'-\*-\s*fix\s*-\*-', re.I).search
+_free_f90_start = re.compile(r'[^c*!]\s*[^\s\d\t]', re.I).match
+
+def is_free_format(file):
+    """Check if file is in free format Fortran."""
+    # f90 allows both fixed and free format, assuming fixed unless
+    # signs of free format are detected.
+    result = 0
+    with open(file, encoding='latin1') as f:
+        line = f.readline()
+        n = 10000 # the number of non-comment lines to scan for hints
+        if _has_f_header(line) or _has_fix_header(line):
+            n = 0
+        elif _has_f90_header(line):
+            n = 0
+            result = 1
+        while n>0 and line:
+            line = line.rstrip()
+            if line and line[0]!='!':
+                n -= 1
+                if (line[0]!='\t' and _free_f90_start(line[:5])) or line[-1:]=='&':
+                    result = 1
+                    break
+            line = f.readline()
+    return result
+
+def has_f90_header(src):
+    with open(src, encoding='latin1') as f:
+        line = f.readline()
+    return _has_f90_header(line) or _has_fix_header(line)
+
+_f77flags_re = re.compile(r'(c|)f77flags\s*\(\s*(?P\w+)\s*\)\s*=\s*(?P.*)', re.I)
+def get_f77flags(src):
+    """
+    Search the first 20 lines of fortran 77 code for line pattern
+      `CF77FLAGS()=`
+    Return a dictionary {:}.
+    """
+    flags = {}
+    with open(src, encoding='latin1') as f:
+        i = 0
+        for line in f:
+            i += 1
+            if i>20: break
+            m = _f77flags_re.match(line)
+            if not m: continue
+            fcname = m.group('fcname').strip()
+            fflags = m.group('fflags').strip()
+            flags[fcname] = split_quoted(fflags)
+    return flags
+
+# TODO: implement get_f90flags and use it in _compile similarly to get_f77flags
+
+if __name__ == '__main__':
+    show_fcompilers()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/absoft.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/absoft.py
new file mode 100644
index 0000000000000000000000000000000000000000..68f516b92751fd12343d0f3c9375b3e43e587247
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/absoft.py
@@ -0,0 +1,156 @@
+
+# Absoft Corporation ceased operations on 12/31/2022.
+# Thus, all links to  are invalid.
+
+# Notes:
+# - when using -g77 then use -DUNDERSCORE_G77 to compile f2py
+#   generated extension modules (works for f2py v2.45.241_1936 and up)
+import os
+
+from numpy.distutils.cpuinfo import cpu
+from numpy.distutils.fcompiler import FCompiler, dummy_fortran_file
+from numpy.distutils.misc_util import cyg2win32
+
+compilers = ['AbsoftFCompiler']
+
+class AbsoftFCompiler(FCompiler):
+
+    compiler_type = 'absoft'
+    description = 'Absoft Corp Fortran Compiler'
+    #version_pattern = r'FORTRAN 77 Compiler (?P[^\s*,]*).*?Absoft Corp'
+    version_pattern = r'(f90:.*?(Absoft Pro FORTRAN Version|FORTRAN 77 Compiler|Absoft Fortran Compiler Version|Copyright Absoft Corporation.*?Version))'+\
+                       r' (?P[^\s*,]*)(.*?Absoft Corp|)'
+
+    # on windows: f90 -V -c dummy.f
+    # f90: Copyright Absoft Corporation 1994-1998 mV2; Cray Research, Inc. 1994-1996 CF90 (2.x.x.x  f36t87) Version 2.3 Wed Apr 19, 2006  13:05:16
+
+    # samt5735(8)$ f90 -V -c dummy.f
+    # f90: Copyright Absoft Corporation 1994-2002; Absoft Pro FORTRAN Version 8.0
+    # Note that fink installs g77 as f77, so need to use f90 for detection.
+
+    executables = {
+        'version_cmd'  : None,          # set by update_executables
+        'compiler_f77' : ["f77"],
+        'compiler_fix' : ["f90"],
+        'compiler_f90' : ["f90"],
+        'linker_so'    : [""],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+    if os.name=='nt':
+        library_switch = '/out:'      #No space after /out:!
+
+    module_dir_switch = None
+    module_include_switch = '-p'
+
+    def update_executables(self):
+        f = cyg2win32(dummy_fortran_file())
+        self.executables['version_cmd'] = ['', '-V', '-c',
+                                           f+'.f', '-o', f+'.o']
+
+    def get_flags_linker_so(self):
+        if os.name=='nt':
+            opt = ['/dll']
+        # The "-K shared" switches are being left in for pre-9.0 versions
+        # of Absoft though I don't think versions earlier than 9 can
+        # actually be used to build shared libraries.  In fact, version
+        # 8 of Absoft doesn't recognize "-K shared" and will fail.
+        elif self.get_version() >= '9.0':
+            opt = ['-shared']
+        else:
+            opt = ["-K", "shared"]
+        return opt
+
+    def library_dir_option(self, dir):
+        if os.name=='nt':
+            return ['-link', '/PATH:%s' % (dir)]
+        return "-L" + dir
+
+    def library_option(self, lib):
+        if os.name=='nt':
+            return '%s.lib' % (lib)
+        return "-l" + lib
+
+    def get_library_dirs(self):
+        opt = FCompiler.get_library_dirs(self)
+        d = os.environ.get('ABSOFT')
+        if d:
+            if self.get_version() >= '10.0':
+                # use shared libraries, the static libraries were not compiled -fPIC
+                prefix = 'sh'
+            else:
+                prefix = ''
+            if cpu.is_64bit():
+                suffix = '64'
+            else:
+                suffix = ''
+            opt.append(os.path.join(d, '%slib%s' % (prefix, suffix)))
+        return opt
+
+    def get_libraries(self):
+        opt = FCompiler.get_libraries(self)
+        if self.get_version() >= '11.0':
+            opt.extend(['af90math', 'afio', 'af77math', 'amisc'])
+        elif self.get_version() >= '10.0':
+            opt.extend(['af90math', 'afio', 'af77math', 'U77'])
+        elif self.get_version() >= '8.0':
+            opt.extend(['f90math', 'fio', 'f77math', 'U77'])
+        else:
+            opt.extend(['fio', 'f90math', 'fmath', 'U77'])
+        if os.name =='nt':
+            opt.append('COMDLG32')
+        return opt
+
+    def get_flags(self):
+        opt = FCompiler.get_flags(self)
+        if os.name != 'nt':
+            opt.extend(['-s'])
+            if self.get_version():
+                if self.get_version()>='8.2':
+                    opt.append('-fpic')
+        return opt
+
+    def get_flags_f77(self):
+        opt = FCompiler.get_flags_f77(self)
+        opt.extend(['-N22', '-N90', '-N110'])
+        v = self.get_version()
+        if os.name == 'nt':
+            if v and v>='8.0':
+                opt.extend(['-f', '-N15'])
+        else:
+            opt.append('-f')
+            if v:
+                if v<='4.6':
+                    opt.append('-B108')
+                else:
+                    # Though -N15 is undocumented, it works with
+                    # Absoft 8.0 on Linux
+                    opt.append('-N15')
+        return opt
+
+    def get_flags_f90(self):
+        opt = FCompiler.get_flags_f90(self)
+        opt.extend(["-YCFRL=1", "-YCOM_NAMES=LCS", "-YCOM_PFX", "-YEXT_PFX",
+                    "-YCOM_SFX=_", "-YEXT_SFX=_", "-YEXT_NAMES=LCS"])
+        if self.get_version():
+            if self.get_version()>'4.6':
+                opt.extend(["-YDEALLOC=ALL"])
+        return opt
+
+    def get_flags_fix(self):
+        opt = FCompiler.get_flags_fix(self)
+        opt.extend(["-YCFRL=1", "-YCOM_NAMES=LCS", "-YCOM_PFX", "-YEXT_PFX",
+                    "-YCOM_SFX=_", "-YEXT_SFX=_", "-YEXT_NAMES=LCS"])
+        opt.extend(["-f", "fixed"])
+        return opt
+
+    def get_flags_opt(self):
+        opt = ['-O']
+        return opt
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='absoft').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/arm.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/arm.py
new file mode 100644
index 0000000000000000000000000000000000000000..3eb7e9af9c8ce3c5834f9e4d7283746961ea0981
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/arm.py
@@ -0,0 +1,71 @@
+import sys                                                                     
+                                                                               
+from numpy.distutils.fcompiler import FCompiler, dummy_fortran_file
+from sys import platform                                                       
+from os.path import join, dirname, normpath
+
+compilers = ['ArmFlangCompiler']
+
+import functools
+
+class ArmFlangCompiler(FCompiler):
+    compiler_type = 'arm'
+    description = 'Arm Compiler'
+    version_pattern = r'\s*Arm.*version (?P[\d.-]+).*'
+
+    ar_exe = 'lib.exe'
+    possible_executables = ['armflang']
+
+    executables = {
+        'version_cmd': ["", "--version"],
+        'compiler_f77': ["armflang", "-fPIC"],
+        'compiler_fix': ["armflang", "-fPIC", "-ffixed-form"],
+        'compiler_f90': ["armflang", "-fPIC"],
+        'linker_so': ["armflang", "-fPIC", "-shared"],
+        'archiver': ["ar", "-cr"],
+        'ranlib':  None
+    }
+
+    pic_flags = ["-fPIC", "-DPIC"]
+    c_compiler = 'arm'
+    module_dir_switch = '-module '  # Don't remove ending space!
+
+    def get_libraries(self):
+        opt = FCompiler.get_libraries(self)
+        opt.extend(['flang', 'flangrti', 'ompstub'])
+        return opt
+
+    @functools.lru_cache(maxsize=128)
+    def get_library_dirs(self):
+        """List of compiler library directories."""
+        opt = FCompiler.get_library_dirs(self)
+        flang_dir = dirname(self.executables['compiler_f77'][0])
+        opt.append(normpath(join(flang_dir, '..', 'lib')))
+
+        return opt
+
+    def get_flags(self):
+        return []
+
+    def get_flags_free(self):
+        return []
+
+    def get_flags_debug(self):
+        return ['-g']
+
+    def get_flags_opt(self):
+        return ['-O3']
+
+    def get_flags_arch(self):
+        return []
+
+    def runtime_library_dir_option(self, dir):
+        return '-Wl,-rpath=%s' % dir
+
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='armflang').get_version())
+
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/compaq.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/compaq.py
new file mode 100644
index 0000000000000000000000000000000000000000..01314c136acff7171298dc2819db4b50d7eec091
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/compaq.py
@@ -0,0 +1,120 @@
+
+#http://www.compaq.com/fortran/docs/
+import os
+import sys
+
+from numpy.distutils.fcompiler import FCompiler
+from distutils.errors import DistutilsPlatformError
+
+compilers = ['CompaqFCompiler']
+if os.name != 'posix' or sys.platform[:6] == 'cygwin' :
+    # Otherwise we'd get a false positive on posix systems with
+    # case-insensitive filesystems (like darwin), because we'll pick
+    # up /bin/df
+    compilers.append('CompaqVisualFCompiler')
+
+class CompaqFCompiler(FCompiler):
+
+    compiler_type = 'compaq'
+    description = 'Compaq Fortran Compiler'
+    version_pattern = r'Compaq Fortran (?P[^\s]*).*'
+
+    if sys.platform[:5]=='linux':
+        fc_exe = 'fort'
+    else:
+        fc_exe = 'f90'
+
+    executables = {
+        'version_cmd'  : ['', "-version"],
+        'compiler_f77' : [fc_exe, "-f77rtl", "-fixed"],
+        'compiler_fix' : [fc_exe, "-fixed"],
+        'compiler_f90' : [fc_exe],
+        'linker_so'    : [''],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+    module_dir_switch = '-module ' # not tested
+    module_include_switch = '-I'
+
+    def get_flags(self):
+        return ['-assume no2underscore', '-nomixed_str_len_arg']
+    def get_flags_debug(self):
+        return ['-g', '-check bounds']
+    def get_flags_opt(self):
+        return ['-O4', '-align dcommons', '-assume bigarrays',
+                '-assume nozsize', '-math_library fast']
+    def get_flags_arch(self):
+        return ['-arch host', '-tune host']
+    def get_flags_linker_so(self):
+        if sys.platform[:5]=='linux':
+            return ['-shared']
+        return ['-shared', '-Wl,-expect_unresolved,*']
+
+class CompaqVisualFCompiler(FCompiler):
+
+    compiler_type = 'compaqv'
+    description = 'DIGITAL or Compaq Visual Fortran Compiler'
+    version_pattern = (r'(DIGITAL|Compaq) Visual Fortran Optimizing Compiler'
+                       r' Version (?P[^\s]*).*')
+
+    compile_switch = '/compile_only'
+    object_switch = '/object:'
+    library_switch = '/OUT:'      #No space after /OUT:!
+
+    static_lib_extension = ".lib"
+    static_lib_format = "%s%s"
+    module_dir_switch = '/module:'
+    module_include_switch = '/I'
+
+    ar_exe = 'lib.exe'
+    fc_exe = 'DF'
+
+    if sys.platform=='win32':
+        from numpy.distutils.msvccompiler import MSVCCompiler
+
+        try:
+            m = MSVCCompiler()
+            m.initialize()
+            ar_exe = m.lib
+        except DistutilsPlatformError:
+            pass
+        except AttributeError as e:
+            if '_MSVCCompiler__root' in str(e):
+                print('Ignoring "%s" (I think it is msvccompiler.py bug)' % (e))
+            else:
+                raise
+        except OSError as e:
+            if not "vcvarsall.bat" in str(e):
+                print("Unexpected OSError in", __file__)
+                raise
+        except ValueError as e:
+            if not "'path'" in str(e):
+                print("Unexpected ValueError in", __file__)
+                raise
+
+    executables = {
+        'version_cmd'  : ['', "/what"],
+        'compiler_f77' : [fc_exe, "/f77rtl", "/fixed"],
+        'compiler_fix' : [fc_exe, "/fixed"],
+        'compiler_f90' : [fc_exe],
+        'linker_so'    : [''],
+        'archiver'     : [ar_exe, "/OUT:"],
+        'ranlib'       : None
+        }
+
+    def get_flags(self):
+        return ['/nologo', '/MD', '/WX', '/iface=(cref,nomixed_str_len_arg)',
+                '/names:lowercase', '/assume:underscore']
+    def get_flags_opt(self):
+        return ['/Ox', '/fast', '/optimize:5', '/unroll:0', '/math_library:fast']
+    def get_flags_arch(self):
+        return ['/threads']
+    def get_flags_debug(self):
+        return ['/debug']
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='compaq').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/environment.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/environment.py
new file mode 100644
index 0000000000000000000000000000000000000000..ecd4d998927961f185dd0ddb498136a4f3581d0e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/environment.py
@@ -0,0 +1,88 @@
+import os
+from distutils.dist import Distribution
+
+__metaclass__ = type
+
+class EnvironmentConfig:
+    def __init__(self, distutils_section='ALL', **kw):
+        self._distutils_section = distutils_section
+        self._conf_keys = kw
+        self._conf = None
+        self._hook_handler = None
+
+    def dump_variable(self, name):
+        conf_desc = self._conf_keys[name]
+        hook, envvar, confvar, convert, append = conf_desc
+        if not convert:
+            convert = lambda x : x
+        print('%s.%s:' % (self._distutils_section, name))
+        v = self._hook_handler(name, hook)
+        print('  hook   : %s' % (convert(v),))
+        if envvar:
+            v = os.environ.get(envvar, None)
+            print('  environ: %s' % (convert(v),))
+        if confvar and self._conf:
+            v = self._conf.get(confvar, (None, None))[1]
+            print('  config : %s' % (convert(v),))
+
+    def dump_variables(self):
+        for name in self._conf_keys:
+            self.dump_variable(name)
+
+    def __getattr__(self, name):
+        try:
+            conf_desc = self._conf_keys[name]
+        except KeyError:
+            raise AttributeError(
+                f"'EnvironmentConfig' object has no attribute '{name}'"
+            ) from None
+
+        return self._get_var(name, conf_desc)
+
+    def get(self, name, default=None):
+        try:
+            conf_desc = self._conf_keys[name]
+        except KeyError:
+            return default
+        var = self._get_var(name, conf_desc)
+        if var is None:
+            var = default
+        return var
+
+    def _get_var(self, name, conf_desc):
+        hook, envvar, confvar, convert, append = conf_desc
+        if convert is None:
+            convert = lambda x: x
+        var = self._hook_handler(name, hook)
+        if envvar is not None:
+            envvar_contents = os.environ.get(envvar)
+            if envvar_contents is not None:
+                envvar_contents = convert(envvar_contents)
+                if var and append:
+                    if os.environ.get('NPY_DISTUTILS_APPEND_FLAGS', '1') == '1':
+                        var.extend(envvar_contents)
+                    else:
+                        # NPY_DISTUTILS_APPEND_FLAGS was explicitly set to 0
+                        # to keep old (overwrite flags rather than append to
+                        # them) behavior
+                        var = envvar_contents
+                else:
+                    var = envvar_contents
+        if confvar is not None and self._conf:
+            if confvar in self._conf:
+                source, confvar_contents = self._conf[confvar]
+                var = convert(confvar_contents)
+        return var
+
+
+    def clone(self, hook_handler):
+        ec = self.__class__(distutils_section=self._distutils_section,
+                            **self._conf_keys)
+        ec._hook_handler = hook_handler
+        return ec
+
+    def use_distribution(self, dist):
+        if isinstance(dist, Distribution):
+            self._conf = dist.get_option_dict(self._distutils_section)
+        else:
+            self._conf = dist
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/fujitsu.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/fujitsu.py
new file mode 100644
index 0000000000000000000000000000000000000000..ddce67456d181e4e8b19a5f5387572b4a9e5b29a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/fujitsu.py
@@ -0,0 +1,46 @@
+"""
+fujitsu
+
+Supports Fujitsu compiler function.
+This compiler is developed by Fujitsu and is used in A64FX on Fugaku.
+"""
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['FujitsuFCompiler']
+
+class FujitsuFCompiler(FCompiler):
+    compiler_type = 'fujitsu'
+    description = 'Fujitsu Fortran Compiler'
+
+    possible_executables = ['frt']
+    version_pattern = r'frt \(FRT\) (?P[a-z\d.]+)'
+    # $ frt --version
+    # frt (FRT) x.x.x yyyymmdd
+
+    executables = {
+        'version_cmd'  : ["", "--version"],
+        'compiler_f77' : ["frt", "-Fixed"],
+        'compiler_fix' : ["frt", "-Fixed"],
+        'compiler_f90' : ["frt"],
+        'linker_so'    : ["frt", "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+    pic_flags = ['-KPIC']
+    module_dir_switch = '-M'
+    module_include_switch = '-I'
+
+    def get_flags_opt(self):
+        return ['-O3']
+    def get_flags_debug(self):
+        return ['-g']
+    def runtime_library_dir_option(self, dir):
+        return f'-Wl,-rpath={dir}'
+    def get_libraries(self):
+        return ['fj90f', 'fj90i', 'fjsrcinfo']
+
+if __name__ == '__main__':
+    from distutils import log
+    from numpy.distutils import customized_fcompiler
+    log.set_verbosity(2)
+    print(customized_fcompiler('fujitsu').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/g95.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/g95.py
new file mode 100644
index 0000000000000000000000000000000000000000..e109a972a8729ba886f86b16530b2ed315dcce8b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/g95.py
@@ -0,0 +1,42 @@
+# http://g95.sourceforge.net/
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['G95FCompiler']
+
+class G95FCompiler(FCompiler):
+    compiler_type = 'g95'
+    description = 'G95 Fortran Compiler'
+
+#    version_pattern = r'G95 \((GCC (?P[\d.]+)|.*?) \(g95!\) (?P.*)\).*'
+    # $ g95 --version
+    # G95 (GCC 4.0.3 (g95!) May 22 2006)
+
+    version_pattern = r'G95 \((GCC (?P[\d.]+)|.*?) \(g95 (?P.*)!\) (?P.*)\).*'
+    # $ g95 --version
+    # G95 (GCC 4.0.3 (g95 0.90!) Aug 22 2006)
+
+    executables = {
+        'version_cmd'  : ["", "--version"],
+        'compiler_f77' : ["g95", "-ffixed-form"],
+        'compiler_fix' : ["g95", "-ffixed-form"],
+        'compiler_f90' : ["g95"],
+        'linker_so'    : ["", "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+    pic_flags = ['-fpic']
+    module_dir_switch = '-fmod='
+    module_include_switch = '-I'
+
+    def get_flags(self):
+        return ['-fno-second-underscore']
+    def get_flags_opt(self):
+        return ['-O']
+    def get_flags_debug(self):
+        return ['-g']
+
+if __name__ == '__main__':
+    from distutils import log
+    from numpy.distutils import customized_fcompiler
+    log.set_verbosity(2)
+    print(customized_fcompiler('g95').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/gnu.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/gnu.py
new file mode 100644
index 0000000000000000000000000000000000000000..3472b5d4c0951cf4501436614a28375bea2a8cef
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/gnu.py
@@ -0,0 +1,555 @@
+import re
+import os
+import sys
+import warnings
+import platform
+import tempfile
+import hashlib
+import base64
+import subprocess
+from subprocess import Popen, PIPE, STDOUT
+from numpy.distutils.exec_command import filepath_from_subprocess_output
+from numpy.distutils.fcompiler import FCompiler
+from distutils.version import LooseVersion
+
+compilers = ['GnuFCompiler', 'Gnu95FCompiler']
+
+TARGET_R = re.compile(r"Target: ([a-zA-Z0-9_\-]*)")
+
+# XXX: handle cross compilation
+
+
+def is_win64():
+    return sys.platform == "win32" and platform.architecture()[0] == "64bit"
+
+
+class GnuFCompiler(FCompiler):
+    compiler_type = 'gnu'
+    compiler_aliases = ('g77', )
+    description = 'GNU Fortran 77 compiler'
+
+    def gnu_version_match(self, version_string):
+        """Handle the different versions of GNU fortran compilers"""
+        # Strip warning(s) that may be emitted by gfortran
+        while version_string.startswith('gfortran: warning'):
+            version_string =\
+                version_string[version_string.find('\n') + 1:].strip()
+
+        # Gfortran versions from after 2010 will output a simple string
+        # (usually "x.y", "x.y.z" or "x.y.z-q") for ``-dumpversion``; older
+        # gfortrans may still return long version strings (``-dumpversion`` was
+        # an alias for ``--version``)
+        if len(version_string) <= 20:
+            # Try to find a valid version string
+            m = re.search(r'([0-9.]+)', version_string)
+            if m:
+                # g77 provides a longer version string that starts with GNU
+                # Fortran
+                if version_string.startswith('GNU Fortran'):
+                    return ('g77', m.group(1))
+
+                # gfortran only outputs a version string such as #.#.#, so check
+                # if the match is at the start of the string
+                elif m.start() == 0:
+                    return ('gfortran', m.group(1))
+        else:
+            # Output probably from --version, try harder:
+            m = re.search(r'GNU Fortran\s+95.*?([0-9-.]+)', version_string)
+            if m:
+                return ('gfortran', m.group(1))
+            m = re.search(
+                r'GNU Fortran.*?\-?([0-9-.]+\.[0-9-.]+)', version_string)
+            if m:
+                v = m.group(1)
+                if v.startswith('0') or v.startswith('2') or v.startswith('3'):
+                    # the '0' is for early g77's
+                    return ('g77', v)
+                else:
+                    # at some point in the 4.x series, the ' 95' was dropped
+                    # from the version string
+                    return ('gfortran', v)
+
+        # If still nothing, raise an error to make the problem easy to find.
+        err = 'A valid Fortran version was not found in this string:\n'
+        raise ValueError(err + version_string)
+
+    def version_match(self, version_string):
+        v = self.gnu_version_match(version_string)
+        if not v or v[0] != 'g77':
+            return None
+        return v[1]
+
+    possible_executables = ['g77', 'f77']
+    executables = {
+        'version_cmd'  : [None, "-dumpversion"],
+        'compiler_f77' : [None, "-g", "-Wall", "-fno-second-underscore"],
+        'compiler_f90' : None,  # Use --fcompiler=gnu95 for f90 codes
+        'compiler_fix' : None,
+        'linker_so'    : [None, "-g", "-Wall"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"],
+        'linker_exe'   : [None, "-g", "-Wall"]
+    }
+    module_dir_switch = None
+    module_include_switch = None
+
+    # Cygwin: f771: warning: -fPIC ignored for target (all code is
+    # position independent)
+    if os.name != 'nt' and sys.platform != 'cygwin':
+        pic_flags = ['-fPIC']
+
+    # use -mno-cygwin for g77 when Python is not Cygwin-Python
+    if sys.platform == 'win32':
+        for key in ['version_cmd', 'compiler_f77', 'linker_so', 'linker_exe']:
+            executables[key].append('-mno-cygwin')
+
+    g2c = 'g2c'
+    suggested_f90_compiler = 'gnu95'
+
+    def get_flags_linker_so(self):
+        opt = self.linker_so[1:]
+        if sys.platform == 'darwin':
+            target = os.environ.get('MACOSX_DEPLOYMENT_TARGET', None)
+            # If MACOSX_DEPLOYMENT_TARGET is set, we simply trust the value
+            # and leave it alone.  But, distutils will complain if the
+            # environment's value is different from the one in the Python
+            # Makefile used to build Python.  We let distutils handle this
+            # error checking.
+            if not target:
+                # If MACOSX_DEPLOYMENT_TARGET is not set in the environment,
+                # we try to get it first from sysconfig and then
+                # fall back to setting it to 10.9 This is a reasonable default
+                # even when using the official Python dist and those derived
+                # from it.
+                import sysconfig
+                target = sysconfig.get_config_var('MACOSX_DEPLOYMENT_TARGET')
+                if not target:
+                    target = '10.9'
+                    s = f'Env. variable MACOSX_DEPLOYMENT_TARGET set to {target}'
+                    warnings.warn(s, stacklevel=2)
+                os.environ['MACOSX_DEPLOYMENT_TARGET'] = str(target)
+            opt.extend(['-undefined', 'dynamic_lookup', '-bundle'])
+        else:
+            opt.append("-shared")
+        if sys.platform.startswith('sunos'):
+            # SunOS often has dynamically loaded symbols defined in the
+            # static library libg2c.a  The linker doesn't like this.  To
+            # ignore the problem, use the -mimpure-text flag.  It isn't
+            # the safest thing, but seems to work. 'man gcc' says:
+            # ".. Instead of using -mimpure-text, you should compile all
+            #  source code with -fpic or -fPIC."
+            opt.append('-mimpure-text')
+        return opt
+
+    def get_libgcc_dir(self):
+        try:
+            output = subprocess.check_output(self.compiler_f77 +
+                                            ['-print-libgcc-file-name'])
+        except (OSError, subprocess.CalledProcessError):
+            pass
+        else:
+            output = filepath_from_subprocess_output(output)
+            return os.path.dirname(output)
+        return None
+
+    def get_libgfortran_dir(self):
+        if sys.platform[:5] == 'linux':
+            libgfortran_name = 'libgfortran.so'
+        elif sys.platform == 'darwin':
+            libgfortran_name = 'libgfortran.dylib'
+        else:
+            libgfortran_name = None
+
+        libgfortran_dir = None
+        if libgfortran_name:
+            find_lib_arg = ['-print-file-name={0}'.format(libgfortran_name)]
+            try:
+                output = subprocess.check_output(
+                                       self.compiler_f77 + find_lib_arg)
+            except (OSError, subprocess.CalledProcessError):
+                pass
+            else:
+                output = filepath_from_subprocess_output(output)
+                libgfortran_dir = os.path.dirname(output)
+        return libgfortran_dir
+
+    def get_library_dirs(self):
+        opt = []
+        if sys.platform[:5] != 'linux':
+            d = self.get_libgcc_dir()
+            if d:
+                # if windows and not cygwin, libg2c lies in a different folder
+                if sys.platform == 'win32' and not d.startswith('/usr/lib'):
+                    d = os.path.normpath(d)
+                    path = os.path.join(d, "lib%s.a" % self.g2c)
+                    if not os.path.exists(path):
+                        root = os.path.join(d, *((os.pardir, ) * 4))
+                        d2 = os.path.abspath(os.path.join(root, 'lib'))
+                        path = os.path.join(d2, "lib%s.a" % self.g2c)
+                        if os.path.exists(path):
+                            opt.append(d2)
+                opt.append(d)
+        # For Macports / Linux, libgfortran and libgcc are not co-located
+        lib_gfortran_dir = self.get_libgfortran_dir()
+        if lib_gfortran_dir:
+            opt.append(lib_gfortran_dir)
+        return opt
+
+    def get_libraries(self):
+        opt = []
+        d = self.get_libgcc_dir()
+        if d is not None:
+            g2c = self.g2c + '-pic'
+            f = self.static_lib_format % (g2c, self.static_lib_extension)
+            if not os.path.isfile(os.path.join(d, f)):
+                g2c = self.g2c
+        else:
+            g2c = self.g2c
+
+        if g2c is not None:
+            opt.append(g2c)
+        c_compiler = self.c_compiler
+        if sys.platform == 'win32' and c_compiler and \
+                c_compiler.compiler_type == 'msvc':
+            opt.append('gcc')
+        if sys.platform == 'darwin':
+            opt.append('cc_dynamic')
+        return opt
+
+    def get_flags_debug(self):
+        return ['-g']
+
+    def get_flags_opt(self):
+        v = self.get_version()
+        if v and v <= '3.3.3':
+            # With this compiler version building Fortran BLAS/LAPACK
+            # with -O3 caused failures in lib.lapack heevr,syevr tests.
+            opt = ['-O2']
+        else:
+            opt = ['-O3']
+        opt.append('-funroll-loops')
+        return opt
+
+    def _c_arch_flags(self):
+        """ Return detected arch flags from CFLAGS """
+        import sysconfig
+        try:
+            cflags = sysconfig.get_config_vars()['CFLAGS']
+        except KeyError:
+            return []
+        arch_re = re.compile(r"-arch\s+(\w+)")
+        arch_flags = []
+        for arch in arch_re.findall(cflags):
+            arch_flags += ['-arch', arch]
+        return arch_flags
+
+    def get_flags_arch(self):
+        return []
+
+    def runtime_library_dir_option(self, dir):
+        if sys.platform == 'win32' or sys.platform == 'cygwin':
+            # Linux/Solaris/Unix support RPATH, Windows does not
+            raise NotImplementedError
+
+        # TODO: could use -Xlinker here, if it's supported
+        assert "," not in dir
+
+        if sys.platform == 'darwin':
+            return f'-Wl,-rpath,{dir}'
+        elif sys.platform.startswith(('aix', 'os400')):
+            # AIX RPATH is called LIBPATH
+            return f'-Wl,-blibpath:{dir}'
+        else:
+            return f'-Wl,-rpath={dir}'
+
+
+class Gnu95FCompiler(GnuFCompiler):
+    compiler_type = 'gnu95'
+    compiler_aliases = ('gfortran', )
+    description = 'GNU Fortran 95 compiler'
+
+    def version_match(self, version_string):
+        v = self.gnu_version_match(version_string)
+        if not v or v[0] != 'gfortran':
+            return None
+        v = v[1]
+        if LooseVersion(v) >= "4":
+            # gcc-4 series releases do not support -mno-cygwin option
+            pass
+        else:
+            # use -mno-cygwin flag for gfortran when Python is not
+            # Cygwin-Python
+            if sys.platform == 'win32':
+                for key in [
+                        'version_cmd', 'compiler_f77', 'compiler_f90',
+                        'compiler_fix', 'linker_so', 'linker_exe'
+                ]:
+                    self.executables[key].append('-mno-cygwin')
+        return v
+
+    possible_executables = ['gfortran', 'f95']
+    executables = {
+        'version_cmd'  : ["", "-dumpversion"],
+        'compiler_f77' : [None, "-Wall", "-g", "-ffixed-form",
+                          "-fno-second-underscore"],
+        'compiler_f90' : [None, "-Wall", "-g",
+                          "-fno-second-underscore"],
+        'compiler_fix' : [None, "-Wall",  "-g","-ffixed-form",
+                          "-fno-second-underscore"],
+        'linker_so'    : ["", "-Wall", "-g"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"],
+        'linker_exe'   : [None, "-Wall"]
+    }
+
+    module_dir_switch = '-J'
+    module_include_switch = '-I'
+
+    if sys.platform.startswith(('aix', 'os400')):
+        executables['linker_so'].append('-lpthread')
+        if platform.architecture()[0][:2] == '64':
+            for key in ['compiler_f77', 'compiler_f90','compiler_fix','linker_so', 'linker_exe']:
+                executables[key].append('-maix64')
+
+    g2c = 'gfortran'
+
+    def _universal_flags(self, cmd):
+        """Return a list of -arch flags for every supported architecture."""
+        if not sys.platform == 'darwin':
+            return []
+        arch_flags = []
+        # get arches the C compiler gets.
+        c_archs = self._c_arch_flags()
+        if "i386" in c_archs:
+            c_archs[c_archs.index("i386")] = "i686"
+        # check the arches the Fortran compiler supports, and compare with
+        # arch flags from C compiler
+        for arch in ["ppc", "i686", "x86_64", "ppc64", "s390x"]:
+            if _can_target(cmd, arch) and arch in c_archs:
+                arch_flags.extend(["-arch", arch])
+        return arch_flags
+
+    def get_flags(self):
+        flags = GnuFCompiler.get_flags(self)
+        arch_flags = self._universal_flags(self.compiler_f90)
+        if arch_flags:
+            flags[:0] = arch_flags
+        return flags
+
+    def get_flags_linker_so(self):
+        flags = GnuFCompiler.get_flags_linker_so(self)
+        arch_flags = self._universal_flags(self.linker_so)
+        if arch_flags:
+            flags[:0] = arch_flags
+        return flags
+
+    def get_library_dirs(self):
+        opt = GnuFCompiler.get_library_dirs(self)
+        if sys.platform == 'win32':
+            c_compiler = self.c_compiler
+            if c_compiler and c_compiler.compiler_type == "msvc":
+                target = self.get_target()
+                if target:
+                    d = os.path.normpath(self.get_libgcc_dir())
+                    root = os.path.join(d, *((os.pardir, ) * 4))
+                    path = os.path.join(root, "lib")
+                    mingwdir = os.path.normpath(path)
+                    if os.path.exists(os.path.join(mingwdir, "libmingwex.a")):
+                        opt.append(mingwdir)
+        # For Macports / Linux, libgfortran and libgcc are not co-located
+        lib_gfortran_dir = self.get_libgfortran_dir()
+        if lib_gfortran_dir:
+            opt.append(lib_gfortran_dir)
+        return opt
+
+    def get_libraries(self):
+        opt = GnuFCompiler.get_libraries(self)
+        if sys.platform == 'darwin':
+            opt.remove('cc_dynamic')
+        if sys.platform == 'win32':
+            c_compiler = self.c_compiler
+            if c_compiler and c_compiler.compiler_type == "msvc":
+                if "gcc" in opt:
+                    i = opt.index("gcc")
+                    opt.insert(i + 1, "mingwex")
+                    opt.insert(i + 1, "mingw32")
+            c_compiler = self.c_compiler
+            if c_compiler and c_compiler.compiler_type == "msvc":
+                return []
+            else:
+                pass
+        return opt
+
+    def get_target(self):
+        try:
+            p = subprocess.Popen(
+                self.compiler_f77 + ['-v'],
+                stdin=subprocess.PIPE,
+                stderr=subprocess.PIPE,
+            )
+            stdout, stderr = p.communicate()
+            output = (stdout or b"") + (stderr or b"")
+        except (OSError, subprocess.CalledProcessError):
+            pass
+        else:
+            output = filepath_from_subprocess_output(output)
+            m = TARGET_R.search(output)
+            if m:
+                return m.group(1)
+        return ""
+
+    def _hash_files(self, filenames):
+        h = hashlib.sha1()
+        for fn in filenames:
+            with open(fn, 'rb') as f:
+                while True:
+                    block = f.read(131072)
+                    if not block:
+                        break
+                    h.update(block)
+        text = base64.b32encode(h.digest())
+        text = text.decode('ascii')
+        return text.rstrip('=')
+
+    def _link_wrapper_lib(self, objects, output_dir, extra_dll_dir,
+                          chained_dlls, is_archive):
+        """Create a wrapper shared library for the given objects
+
+        Return an MSVC-compatible lib
+        """
+
+        c_compiler = self.c_compiler
+        if c_compiler.compiler_type != "msvc":
+            raise ValueError("This method only supports MSVC")
+
+        object_hash = self._hash_files(list(objects) + list(chained_dlls))
+
+        if is_win64():
+            tag = 'win_amd64'
+        else:
+            tag = 'win32'
+
+        basename = 'lib' + os.path.splitext(
+            os.path.basename(objects[0]))[0][:8]
+        root_name = basename + '.' + object_hash + '.gfortran-' + tag
+        dll_name = root_name + '.dll'
+        def_name = root_name + '.def'
+        lib_name = root_name + '.lib'
+        dll_path = os.path.join(extra_dll_dir, dll_name)
+        def_path = os.path.join(output_dir, def_name)
+        lib_path = os.path.join(output_dir, lib_name)
+
+        if os.path.isfile(lib_path):
+            # Nothing to do
+            return lib_path, dll_path
+
+        if is_archive:
+            objects = (["-Wl,--whole-archive"] + list(objects) +
+                       ["-Wl,--no-whole-archive"])
+        self.link_shared_object(
+            objects,
+            dll_name,
+            output_dir=extra_dll_dir,
+            extra_postargs=list(chained_dlls) + [
+                '-Wl,--allow-multiple-definition',
+                '-Wl,--output-def,' + def_path,
+                '-Wl,--export-all-symbols',
+                '-Wl,--enable-auto-import',
+                '-static',
+                '-mlong-double-64',
+            ])
+
+        # No PowerPC!
+        if is_win64():
+            specifier = '/MACHINE:X64'
+        else:
+            specifier = '/MACHINE:X86'
+
+        # MSVC specific code
+        lib_args = ['/def:' + def_path, '/OUT:' + lib_path, specifier]
+        if not c_compiler.initialized:
+            c_compiler.initialize()
+        c_compiler.spawn([c_compiler.lib] + lib_args)
+
+        return lib_path, dll_path
+
+    def can_ccompiler_link(self, compiler):
+        # MSVC cannot link objects compiled by GNU fortran
+        return compiler.compiler_type not in ("msvc", )
+
+    def wrap_unlinkable_objects(self, objects, output_dir, extra_dll_dir):
+        """
+        Convert a set of object files that are not compatible with the default
+        linker, to a file that is compatible.
+        """
+        if self.c_compiler.compiler_type == "msvc":
+            # Compile a DLL and return the lib for the DLL as
+            # the object. Also keep track of previous DLLs that
+            # we have compiled so that we can link against them.
+
+            # If there are .a archives, assume they are self-contained
+            # static libraries, and build separate DLLs for each
+            archives = []
+            plain_objects = []
+            for obj in objects:
+                if obj.lower().endswith('.a'):
+                    archives.append(obj)
+                else:
+                    plain_objects.append(obj)
+
+            chained_libs = []
+            chained_dlls = []
+            for archive in archives[::-1]:
+                lib, dll = self._link_wrapper_lib(
+                    [archive],
+                    output_dir,
+                    extra_dll_dir,
+                    chained_dlls=chained_dlls,
+                    is_archive=True)
+                chained_libs.insert(0, lib)
+                chained_dlls.insert(0, dll)
+
+            if not plain_objects:
+                return chained_libs
+
+            lib, dll = self._link_wrapper_lib(
+                plain_objects,
+                output_dir,
+                extra_dll_dir,
+                chained_dlls=chained_dlls,
+                is_archive=False)
+            return [lib] + chained_libs
+        else:
+            raise ValueError("Unsupported C compiler")
+
+
+def _can_target(cmd, arch):
+    """Return true if the architecture supports the -arch flag"""
+    newcmd = cmd[:]
+    fid, filename = tempfile.mkstemp(suffix=".f")
+    os.close(fid)
+    try:
+        d = os.path.dirname(filename)
+        output = os.path.splitext(filename)[0] + ".o"
+        try:
+            newcmd.extend(["-arch", arch, "-c", filename])
+            p = Popen(newcmd, stderr=STDOUT, stdout=PIPE, cwd=d)
+            p.communicate()
+            return p.returncode == 0
+        finally:
+            if os.path.exists(output):
+                os.remove(output)
+    finally:
+        os.remove(filename)
+
+
+if __name__ == '__main__':
+    from distutils import log
+    from numpy.distutils import customized_fcompiler
+    log.set_verbosity(2)
+
+    print(customized_fcompiler('gnu').get_version())
+    try:
+        print(customized_fcompiler('g95').get_version())
+    except Exception as e:
+        print(e)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/hpux.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/hpux.py
new file mode 100644
index 0000000000000000000000000000000000000000..09e6483bf5adb89fee267a153c82ef76ccb1e12a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/hpux.py
@@ -0,0 +1,41 @@
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['HPUXFCompiler']
+
+class HPUXFCompiler(FCompiler):
+
+    compiler_type = 'hpux'
+    description = 'HP Fortran 90 Compiler'
+    version_pattern =  r'HP F90 (?P[^\s*,]*)'
+
+    executables = {
+        'version_cmd'  : ["f90", "+version"],
+        'compiler_f77' : ["f90"],
+        'compiler_fix' : ["f90"],
+        'compiler_f90' : ["f90"],
+        'linker_so'    : ["ld", "-b"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+    module_dir_switch = None #XXX: fix me
+    module_include_switch = None #XXX: fix me
+    pic_flags = ['+Z']
+    def get_flags(self):
+        return self.pic_flags + ['+ppu', '+DD64']
+    def get_flags_opt(self):
+        return ['-O3']
+    def get_libraries(self):
+        return ['m']
+    def get_library_dirs(self):
+        opt = ['/usr/lib/hpux64']
+        return opt
+    def get_version(self, force=0, ok_status=[256, 0, 1]):
+        # XXX status==256 may indicate 'unrecognized option' or
+        #     'no input file'. So, version_cmd needs more work.
+        return FCompiler.get_version(self, force, ok_status)
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(10)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='hpux').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/ibm.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/ibm.py
new file mode 100644
index 0000000000000000000000000000000000000000..29927518c703581d7c4bf0aecd06fe2ea0904ed8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/ibm.py
@@ -0,0 +1,97 @@
+import os
+import re
+import sys
+import subprocess
+
+from numpy.distutils.fcompiler import FCompiler
+from numpy.distutils.exec_command import find_executable
+from numpy.distutils.misc_util import make_temp_file
+from distutils import log
+
+compilers = ['IBMFCompiler']
+
+class IBMFCompiler(FCompiler):
+    compiler_type = 'ibm'
+    description = 'IBM XL Fortran Compiler'
+    version_pattern =  r'(xlf\(1\)\s*|)IBM XL Fortran ((Advanced Edition |)Version |Enterprise Edition V|for AIX, V)(?P[^\s*]*)'
+    #IBM XL Fortran Enterprise Edition V10.1 for AIX \nVersion: 10.01.0000.0004
+
+    executables = {
+        'version_cmd'  : ["", "-qversion"],
+        'compiler_f77' : ["xlf"],
+        'compiler_fix' : ["xlf90", "-qfixed"],
+        'compiler_f90' : ["xlf90"],
+        'linker_so'    : ["xlf95"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+    def get_version(self,*args,**kwds):
+        version = FCompiler.get_version(self,*args,**kwds)
+
+        if version is None and sys.platform.startswith('aix'):
+            # use lslpp to find out xlf version
+            lslpp = find_executable('lslpp')
+            xlf = find_executable('xlf')
+            if os.path.exists(xlf) and os.path.exists(lslpp):
+                try:
+                    o = subprocess.check_output([lslpp, '-Lc', 'xlfcmp'])
+                except (OSError, subprocess.CalledProcessError):
+                    pass
+                else:
+                    m = re.search(r'xlfcmp:(?P\d+([.]\d+)+)', o)
+                    if m: version = m.group('version')
+
+        xlf_dir = '/etc/opt/ibmcmp/xlf'
+        if version is None and os.path.isdir(xlf_dir):
+            # linux:
+            # If the output of xlf does not contain version info
+            # (that's the case with xlf 8.1, for instance) then
+            # let's try another method:
+            l = sorted(os.listdir(xlf_dir))
+            l.reverse()
+            l = [d for d in l if os.path.isfile(os.path.join(xlf_dir, d, 'xlf.cfg'))]
+            if l:
+                from distutils.version import LooseVersion
+                self.version = version = LooseVersion(l[0])
+        return version
+
+    def get_flags(self):
+        return ['-qextname']
+
+    def get_flags_debug(self):
+        return ['-g']
+
+    def get_flags_linker_so(self):
+        opt = []
+        if sys.platform=='darwin':
+            opt.append('-Wl,-bundle,-flat_namespace,-undefined,suppress')
+        else:
+            opt.append('-bshared')
+        version = self.get_version(ok_status=[0, 40])
+        if version is not None:
+            if sys.platform.startswith('aix'):
+                xlf_cfg = '/etc/xlf.cfg'
+            else:
+                xlf_cfg = '/etc/opt/ibmcmp/xlf/%s/xlf.cfg' % version
+            fo, new_cfg = make_temp_file(suffix='_xlf.cfg')
+            log.info('Creating '+new_cfg)
+            with open(xlf_cfg) as fi:
+                crt1_match = re.compile(r'\s*crt\s*=\s*(?P.*)/crt1.o').match
+                for line in fi:
+                    m = crt1_match(line)
+                    if m:
+                        fo.write('crt = %s/bundle1.o\n' % (m.group('path')))
+                    else:
+                        fo.write(line)
+            fo.close()
+            opt.append('-F'+new_cfg)
+        return opt
+
+    def get_flags_opt(self):
+        return ['-O3']
+
+if __name__ == '__main__':
+    from numpy.distutils import customized_fcompiler
+    log.set_verbosity(2)
+    print(customized_fcompiler(compiler='ibm').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/intel.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/intel.py
new file mode 100644
index 0000000000000000000000000000000000000000..1d606590411048e9bebb2dc04d28e56be89783b3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/intel.py
@@ -0,0 +1,211 @@
+# http://developer.intel.com/software/products/compilers/flin/
+import sys
+
+from numpy.distutils.ccompiler import simple_version_match
+from numpy.distutils.fcompiler import FCompiler, dummy_fortran_file
+
+compilers = ['IntelFCompiler', 'IntelVisualFCompiler',
+             'IntelItaniumFCompiler', 'IntelItaniumVisualFCompiler',
+             'IntelEM64VisualFCompiler', 'IntelEM64TFCompiler']
+
+
+def intel_version_match(type):
+    # Match against the important stuff in the version string
+    return simple_version_match(start=r'Intel.*?Fortran.*?(?:%s).*?Version' % (type,))
+
+
+class BaseIntelFCompiler(FCompiler):
+    def update_executables(self):
+        f = dummy_fortran_file()
+        self.executables['version_cmd'] = ['', '-FI', '-V', '-c',
+                                           f + '.f', '-o', f + '.o']
+
+    def runtime_library_dir_option(self, dir):
+        # TODO: could use -Xlinker here, if it's supported
+        assert "," not in dir
+
+        return '-Wl,-rpath=%s' % dir
+
+
+class IntelFCompiler(BaseIntelFCompiler):
+
+    compiler_type = 'intel'
+    compiler_aliases = ('ifort',)
+    description = 'Intel Fortran Compiler for 32-bit apps'
+    version_match = intel_version_match('32-bit|IA-32')
+
+    possible_executables = ['ifort', 'ifc']
+
+    executables = {
+        'version_cmd'  : None,          # set by update_executables
+        'compiler_f77' : [None, "-72", "-w90", "-w95"],
+        'compiler_f90' : [None],
+        'compiler_fix' : [None, "-FI"],
+        'linker_so'    : ["", "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+    pic_flags = ['-fPIC']
+    module_dir_switch = '-module '  # Don't remove ending space!
+    module_include_switch = '-I'
+
+    def get_flags_free(self):
+        return ['-FR']
+
+    def get_flags(self):
+        return ['-fPIC']
+
+    def get_flags_opt(self):  # Scipy test failures with -O2
+        v = self.get_version()
+        mpopt = 'openmp' if v and v < '15' else 'qopenmp'
+        return ['-fp-model', 'strict', '-O1',
+                '-assume', 'minus0', '-{}'.format(mpopt)]
+
+    def get_flags_arch(self):
+        return []
+
+    def get_flags_linker_so(self):
+        opt = FCompiler.get_flags_linker_so(self)
+        v = self.get_version()
+        if v and v >= '8.0':
+            opt.append('-nofor_main')
+        if sys.platform == 'darwin':
+            # Here, it's -dynamiclib
+            try:
+                idx = opt.index('-shared')
+                opt.remove('-shared')
+            except ValueError:
+                idx = 0
+            opt[idx:idx] = ['-dynamiclib', '-Wl,-undefined,dynamic_lookup']
+        return opt
+
+
+class IntelItaniumFCompiler(IntelFCompiler):
+    compiler_type = 'intele'
+    compiler_aliases = ()
+    description = 'Intel Fortran Compiler for Itanium apps'
+
+    version_match = intel_version_match('Itanium|IA-64')
+
+    possible_executables = ['ifort', 'efort', 'efc']
+
+    executables = {
+        'version_cmd'  : None,
+        'compiler_f77' : [None, "-FI", "-w90", "-w95"],
+        'compiler_fix' : [None, "-FI"],
+        'compiler_f90' : [None],
+        'linker_so'    : ['', "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+
+class IntelEM64TFCompiler(IntelFCompiler):
+    compiler_type = 'intelem'
+    compiler_aliases = ()
+    description = 'Intel Fortran Compiler for 64-bit apps'
+
+    version_match = intel_version_match('EM64T-based|Intel\\(R\\) 64|64|IA-64|64-bit')
+
+    possible_executables = ['ifort', 'efort', 'efc']
+
+    executables = {
+        'version_cmd'  : None,
+        'compiler_f77' : [None, "-FI"],
+        'compiler_fix' : [None, "-FI"],
+        'compiler_f90' : [None],
+        'linker_so'    : ['', "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+# Is there no difference in the version string between the above compilers
+# and the Visual compilers?
+
+
+class IntelVisualFCompiler(BaseIntelFCompiler):
+    compiler_type = 'intelv'
+    description = 'Intel Visual Fortran Compiler for 32-bit apps'
+    version_match = intel_version_match('32-bit|IA-32')
+
+    def update_executables(self):
+        f = dummy_fortran_file()
+        self.executables['version_cmd'] = ['', '/FI', '/c',
+                                           f + '.f', '/o', f + '.o']
+
+    ar_exe = 'lib.exe'
+    possible_executables = ['ifort', 'ifl']
+
+    executables = {
+        'version_cmd'  : None,
+        'compiler_f77' : [None],
+        'compiler_fix' : [None],
+        'compiler_f90' : [None],
+        'linker_so'    : [None],
+        'archiver'     : [ar_exe, "/verbose", "/OUT:"],
+        'ranlib'       : None
+        }
+
+    compile_switch = '/c '
+    object_switch = '/Fo'     # No space after /Fo!
+    library_switch = '/OUT:'  # No space after /OUT:!
+    module_dir_switch = '/module:'  # No space after /module:
+    module_include_switch = '/I'
+
+    def get_flags(self):
+        opt = ['/nologo', '/MD', '/nbs', '/names:lowercase', 
+               '/assume:underscore', '/fpp']
+        return opt
+
+    def get_flags_free(self):
+        return []
+
+    def get_flags_debug(self):
+        return ['/4Yb', '/d2']
+
+    def get_flags_opt(self):
+        return ['/O1', '/assume:minus0']  # Scipy test failures with /O2
+
+    def get_flags_arch(self):
+        return ["/arch:IA32", "/QaxSSE3"]
+
+    def runtime_library_dir_option(self, dir):
+        raise NotImplementedError
+
+
+class IntelItaniumVisualFCompiler(IntelVisualFCompiler):
+    compiler_type = 'intelev'
+    description = 'Intel Visual Fortran Compiler for Itanium apps'
+
+    version_match = intel_version_match('Itanium')
+
+    possible_executables = ['efl']  # XXX this is a wild guess
+    ar_exe = IntelVisualFCompiler.ar_exe
+
+    executables = {
+        'version_cmd'  : None,
+        'compiler_f77' : [None, "-FI", "-w90", "-w95"],
+        'compiler_fix' : [None, "-FI", "-4L72", "-w"],
+        'compiler_f90' : [None],
+        'linker_so'    : ['', "-shared"],
+        'archiver'     : [ar_exe, "/verbose", "/OUT:"],
+        'ranlib'       : None
+        }
+
+
+class IntelEM64VisualFCompiler(IntelVisualFCompiler):
+    compiler_type = 'intelvem'
+    description = 'Intel Visual Fortran Compiler for 64-bit apps'
+
+    version_match = simple_version_match(start=r'Intel\(R\).*?64,')
+
+    def get_flags_arch(self):
+        return []
+
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='intel').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/lahey.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/lahey.py
new file mode 100644
index 0000000000000000000000000000000000000000..e925838268b82d9c26d94e811717cdc58e269a12
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/lahey.py
@@ -0,0 +1,45 @@
+import os
+
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['LaheyFCompiler']
+
+class LaheyFCompiler(FCompiler):
+
+    compiler_type = 'lahey'
+    description = 'Lahey/Fujitsu Fortran 95 Compiler'
+    version_pattern =  r'Lahey/Fujitsu Fortran 95 Compiler Release (?P[^\s*]*)'
+
+    executables = {
+        'version_cmd'  : ["", "--version"],
+        'compiler_f77' : ["lf95", "--fix"],
+        'compiler_fix' : ["lf95", "--fix"],
+        'compiler_f90' : ["lf95"],
+        'linker_so'    : ["lf95", "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+    module_dir_switch = None  #XXX Fix me
+    module_include_switch = None #XXX Fix me
+
+    def get_flags_opt(self):
+        return ['-O']
+    def get_flags_debug(self):
+        return ['-g', '--chk', '--chkglobal']
+    def get_library_dirs(self):
+        opt = []
+        d = os.environ.get('LAHEY')
+        if d:
+            opt.append(os.path.join(d, 'lib'))
+        return opt
+    def get_libraries(self):
+        opt = []
+        opt.extend(['fj9f6', 'fj9i6', 'fj9ipp', 'fj9e6'])
+        return opt
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='lahey').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/mips.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/mips.py
new file mode 100644
index 0000000000000000000000000000000000000000..a0973804571b1404400e0749533a001d0833f905
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/mips.py
@@ -0,0 +1,54 @@
+from numpy.distutils.cpuinfo import cpu
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['MIPSFCompiler']
+
+class MIPSFCompiler(FCompiler):
+
+    compiler_type = 'mips'
+    description = 'MIPSpro Fortran Compiler'
+    version_pattern =  r'MIPSpro Compilers: Version (?P[^\s*,]*)'
+
+    executables = {
+        'version_cmd'  : ["", "-version"],
+        'compiler_f77' : ["f77", "-f77"],
+        'compiler_fix' : ["f90", "-fixedform"],
+        'compiler_f90' : ["f90"],
+        'linker_so'    : ["f90", "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : None
+        }
+    module_dir_switch = None #XXX: fix me
+    module_include_switch = None #XXX: fix me
+    pic_flags = ['-KPIC']
+
+    def get_flags(self):
+        return self.pic_flags + ['-n32']
+    def get_flags_opt(self):
+        return ['-O3']
+    def get_flags_arch(self):
+        opt = []
+        for a in '19 20 21 22_4k 22_5k 24 25 26 27 28 30 32_5k 32_10k'.split():
+            if getattr(cpu, 'is_IP%s'%a)():
+                opt.append('-TARG:platform=IP%s' % a)
+                break
+        return opt
+    def get_flags_arch_f77(self):
+        r = None
+        if cpu.is_r10000(): r = 10000
+        elif cpu.is_r12000(): r = 12000
+        elif cpu.is_r8000(): r = 8000
+        elif cpu.is_r5000(): r = 5000
+        elif cpu.is_r4000(): r = 4000
+        if r is not None:
+            return ['r%s' % (r)]
+        return []
+    def get_flags_arch_f90(self):
+        r = self.get_flags_arch_f77()
+        if r:
+            r[0] = '-' + r[0]
+        return r
+
+if __name__ == '__main__':
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='mips').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/nag.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/nag.py
new file mode 100644
index 0000000000000000000000000000000000000000..939201f44e024de7b9f3d3858284a1dfce1d1a11
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/nag.py
@@ -0,0 +1,87 @@
+import sys
+import re
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['NAGFCompiler', 'NAGFORCompiler']
+
+class BaseNAGFCompiler(FCompiler):
+    version_pattern = r'NAG.* Release (?P[^(\s]*)'
+
+    def version_match(self, version_string):
+        m = re.search(self.version_pattern, version_string)
+        if m:
+            return m.group('version')
+        else:
+            return None
+
+    def get_flags_linker_so(self):
+        return ["-Wl,-shared"]
+    def get_flags_opt(self):
+        return ['-O4']
+    def get_flags_arch(self):
+        return []
+
+class NAGFCompiler(BaseNAGFCompiler):
+
+    compiler_type = 'nag'
+    description = 'NAGWare Fortran 95 Compiler'
+
+    executables = {
+        'version_cmd'  : ["", "-V"],
+        'compiler_f77' : ["f95", "-fixed"],
+        'compiler_fix' : ["f95", "-fixed"],
+        'compiler_f90' : ["f95"],
+        'linker_so'    : [""],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+    def get_flags_linker_so(self):
+        if sys.platform == 'darwin':
+            return ['-unsharedf95', '-Wl,-bundle,-flat_namespace,-undefined,suppress']
+        return BaseNAGFCompiler.get_flags_linker_so(self)
+    def get_flags_arch(self):
+        version = self.get_version()
+        if version and version < '5.1':
+            return ['-target=native']
+        else:
+            return BaseNAGFCompiler.get_flags_arch(self)
+    def get_flags_debug(self):
+        return ['-g', '-gline', '-g90', '-nan', '-C']
+
+class NAGFORCompiler(BaseNAGFCompiler):
+
+    compiler_type = 'nagfor'
+    description = 'NAG Fortran Compiler'
+
+    executables = {
+        'version_cmd'  : ["nagfor", "-V"],
+        'compiler_f77' : ["nagfor", "-fixed"],
+        'compiler_fix' : ["nagfor", "-fixed"],
+        'compiler_f90' : ["nagfor"],
+        'linker_so'    : ["nagfor"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+
+    def get_flags_linker_so(self):
+        if sys.platform == 'darwin':
+            return ['-unsharedrts',
+                    '-Wl,-bundle,-flat_namespace,-undefined,suppress']
+        return BaseNAGFCompiler.get_flags_linker_so(self)
+    def get_flags_debug(self):
+        version = self.get_version()
+        if version and version > '6.1':
+            return ['-g', '-u', '-nan', '-C=all', '-thread_safe',
+                    '-kind=unique', '-Warn=allocation', '-Warn=subnormal']
+        else:
+            return ['-g', '-nan', '-C=all', '-u', '-thread_safe']
+
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    compiler = customized_fcompiler(compiler='nagfor')
+    print(compiler.get_version())
+    print(compiler.get_flags_debug())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/none.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/none.py
new file mode 100644
index 0000000000000000000000000000000000000000..ef411fffc7cb7e1d8fac4872eb31292b9fc5d7bb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/none.py
@@ -0,0 +1,28 @@
+from numpy.distutils.fcompiler import FCompiler
+from numpy.distutils import customized_fcompiler
+
+compilers = ['NoneFCompiler']
+
+class NoneFCompiler(FCompiler):
+
+    compiler_type = 'none'
+    description = 'Fake Fortran compiler'
+
+    executables = {'compiler_f77': None,
+                   'compiler_f90': None,
+                   'compiler_fix': None,
+                   'linker_so': None,
+                   'linker_exe': None,
+                   'archiver': None,
+                   'ranlib': None,
+                   'version_cmd': None,
+                   }
+
+    def find_executables(self):
+        pass
+
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    print(customized_fcompiler(compiler='none').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/nv.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/nv.py
new file mode 100644
index 0000000000000000000000000000000000000000..f518c8b0027a9eb73c853ba5334ff945e07be6fb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/nv.py
@@ -0,0 +1,53 @@
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['NVHPCFCompiler']
+
+class NVHPCFCompiler(FCompiler):
+    """ NVIDIA High Performance Computing (HPC) SDK Fortran Compiler
+   
+    https://developer.nvidia.com/hpc-sdk
+   
+    Since august 2020 the NVIDIA HPC SDK includes the compilers formerly known as The Portland Group compilers,
+    https://www.pgroup.com/index.htm.
+    See also `numpy.distutils.fcompiler.pg`.
+    """
+
+    compiler_type = 'nv'
+    description = 'NVIDIA HPC SDK'
+    version_pattern = r'\s*(nvfortran|.+ \(aka nvfortran\)) (?P[\d.-]+).*'
+
+    executables = {
+        'version_cmd': ["", "-V"],
+        'compiler_f77': ["nvfortran"],
+        'compiler_fix': ["nvfortran", "-Mfixed"],
+        'compiler_f90': ["nvfortran"],
+        'linker_so': [""],
+        'archiver': ["ar", "-cr"],
+        'ranlib': ["ranlib"]
+    }
+    pic_flags = ['-fpic']
+
+    module_dir_switch = '-module '
+    module_include_switch = '-I'
+
+    def get_flags(self):
+        opt = ['-Minform=inform', '-Mnosecond_underscore']
+        return self.pic_flags + opt
+
+    def get_flags_opt(self):
+        return ['-fast']
+
+    def get_flags_debug(self):
+        return ['-g']
+
+    def get_flags_linker_so(self):
+        return ["-shared", '-fpic']
+
+    def runtime_library_dir_option(self, dir):
+        return '-R%s' % dir
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='nv').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/pathf95.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/pathf95.py
new file mode 100644
index 0000000000000000000000000000000000000000..0768cb12e87a54aa7fc0d10a04d97953eaa8aa41
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/pathf95.py
@@ -0,0 +1,33 @@
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['PathScaleFCompiler']
+
+class PathScaleFCompiler(FCompiler):
+
+    compiler_type = 'pathf95'
+    description = 'PathScale Fortran Compiler'
+    version_pattern =  r'PathScale\(TM\) Compiler Suite: Version (?P[\d.]+)'
+
+    executables = {
+        'version_cmd'  : ["pathf95", "-version"],
+        'compiler_f77' : ["pathf95", "-fixedform"],
+        'compiler_fix' : ["pathf95", "-fixedform"],
+        'compiler_f90' : ["pathf95"],
+        'linker_so'    : ["pathf95", "-shared"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+    }
+    pic_flags = ['-fPIC']
+    module_dir_switch = '-module ' # Don't remove ending space!
+    module_include_switch = '-I'
+
+    def get_flags_opt(self):
+        return ['-O3']
+    def get_flags_debug(self):
+        return ['-g']
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='pathf95').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/pg.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/pg.py
new file mode 100644
index 0000000000000000000000000000000000000000..72442c4fec61dc20079231dedd233b6791907867
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/pg.py
@@ -0,0 +1,128 @@
+# http://www.pgroup.com
+import sys
+
+from numpy.distutils.fcompiler import FCompiler
+from sys import platform
+from os.path import join, dirname, normpath
+
+compilers = ['PGroupFCompiler', 'PGroupFlangCompiler']
+
+
+class PGroupFCompiler(FCompiler):
+
+    compiler_type = 'pg'
+    description = 'Portland Group Fortran Compiler'
+    version_pattern = r'\s*pg(f77|f90|hpf|fortran) (?P[\d.-]+).*'
+
+    if platform == 'darwin':
+        executables = {
+            'version_cmd': ["", "-V"],
+            'compiler_f77': ["pgfortran", "-dynamiclib"],
+            'compiler_fix': ["pgfortran", "-Mfixed", "-dynamiclib"],
+            'compiler_f90': ["pgfortran", "-dynamiclib"],
+            'linker_so': ["libtool"],
+            'archiver': ["ar", "-cr"],
+            'ranlib': ["ranlib"]
+        }
+        pic_flags = ['']
+    else:
+        executables = {
+            'version_cmd': ["", "-V"],
+            'compiler_f77': ["pgfortran"],
+            'compiler_fix': ["pgfortran", "-Mfixed"],
+            'compiler_f90': ["pgfortran"],
+            'linker_so': [""],
+            'archiver': ["ar", "-cr"],
+            'ranlib': ["ranlib"]
+        }
+        pic_flags = ['-fpic']
+
+    module_dir_switch = '-module '
+    module_include_switch = '-I'
+
+    def get_flags(self):
+        opt = ['-Minform=inform', '-Mnosecond_underscore']
+        return self.pic_flags + opt
+
+    def get_flags_opt(self):
+        return ['-fast']
+
+    def get_flags_debug(self):
+        return ['-g']
+
+    if platform == 'darwin':
+        def get_flags_linker_so(self):
+            return ["-dynamic", '-undefined', 'dynamic_lookup']
+
+    else:
+        def get_flags_linker_so(self):
+            return ["-shared", '-fpic']
+
+    def runtime_library_dir_option(self, dir):
+        return '-R%s' % dir
+
+
+import functools
+
+class PGroupFlangCompiler(FCompiler):
+    compiler_type = 'flang'
+    description = 'Portland Group Fortran LLVM Compiler'
+    version_pattern = r'\s*(flang|clang) version (?P[\d.-]+).*'
+
+    ar_exe = 'lib.exe'
+    possible_executables = ['flang']
+
+    executables = {
+        'version_cmd': ["", "--version"],
+        'compiler_f77': ["flang"],
+        'compiler_fix': ["flang"],
+        'compiler_f90': ["flang"],
+        'linker_so': [None],
+        'archiver': [ar_exe, "/verbose", "/OUT:"],
+        'ranlib': None
+    }
+
+    library_switch = '/OUT:'  # No space after /OUT:!
+    module_dir_switch = '-module '  # Don't remove ending space!
+
+    def get_libraries(self):
+        opt = FCompiler.get_libraries(self)
+        opt.extend(['flang', 'flangrti', 'ompstub'])
+        return opt
+
+    @functools.lru_cache(maxsize=128)
+    def get_library_dirs(self):
+        """List of compiler library directories."""
+        opt = FCompiler.get_library_dirs(self)
+        flang_dir = dirname(self.executables['compiler_f77'][0])
+        opt.append(normpath(join(flang_dir, '..', 'lib')))
+
+        return opt
+
+    def get_flags(self):
+        return []
+
+    def get_flags_free(self):
+        return []
+
+    def get_flags_debug(self):
+        return ['-g']
+
+    def get_flags_opt(self):
+        return ['-O3']
+
+    def get_flags_arch(self):
+        return []
+
+    def runtime_library_dir_option(self, dir):
+        raise NotImplementedError
+
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    if 'flang' in sys.argv:
+        print(customized_fcompiler(compiler='flang').get_version())
+    else:
+        print(customized_fcompiler(compiler='pg').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/sun.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/sun.py
new file mode 100644
index 0000000000000000000000000000000000000000..d039f0b25705afc915da5266958f0d0ba1145763
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/sun.py
@@ -0,0 +1,51 @@
+from numpy.distutils.ccompiler import simple_version_match
+from numpy.distutils.fcompiler import FCompiler
+
+compilers = ['SunFCompiler']
+
+class SunFCompiler(FCompiler):
+
+    compiler_type = 'sun'
+    description = 'Sun or Forte Fortran 95 Compiler'
+    # ex:
+    # f90: Sun WorkShop 6 update 2 Fortran 95 6.2 Patch 111690-10 2003/08/28
+    version_match = simple_version_match(
+                      start=r'f9[05]: (Sun|Forte|WorkShop).*Fortran 95')
+
+    executables = {
+        'version_cmd'  : ["", "-V"],
+        'compiler_f77' : ["f90"],
+        'compiler_fix' : ["f90", "-fixed"],
+        'compiler_f90' : ["f90"],
+        'linker_so'    : ["", "-Bdynamic", "-G"],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+    module_dir_switch = '-moddir='
+    module_include_switch = '-M'
+    pic_flags = ['-xcode=pic32']
+
+    def get_flags_f77(self):
+        ret = ["-ftrap=%none"]
+        if (self.get_version() or '') >= '7':
+            ret.append("-f77")
+        else:
+            ret.append("-fixed")
+        return ret
+    def get_opt(self):
+        return ['-fast', '-dalign']
+    def get_arch(self):
+        return ['-xtarget=generic']
+    def get_libraries(self):
+        opt = []
+        opt.extend(['fsu', 'sunmath', 'mvec'])
+        return opt
+
+    def runtime_library_dir_option(self, dir):
+        return '-R%s' % dir
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='sun').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/vast.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/vast.py
new file mode 100644
index 0000000000000000000000000000000000000000..92a1647ba43708084ce85e0b986cb9d71329b842
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fcompiler/vast.py
@@ -0,0 +1,52 @@
+import os
+
+from numpy.distutils.fcompiler.gnu import GnuFCompiler
+
+compilers = ['VastFCompiler']
+
+class VastFCompiler(GnuFCompiler):
+    compiler_type = 'vast'
+    compiler_aliases = ()
+    description = 'Pacific-Sierra Research Fortran 90 Compiler'
+    version_pattern = (r'\s*Pacific-Sierra Research vf90 '
+                       r'(Personal|Professional)\s+(?P[^\s]*)')
+
+    # VAST f90 does not support -o with -c. So, object files are created
+    # to the current directory and then moved to build directory
+    object_switch = ' && function _mvfile { mv -v `basename $1` $1 ; } && _mvfile '
+
+    executables = {
+        'version_cmd'  : ["vf90", "-v"],
+        'compiler_f77' : ["g77"],
+        'compiler_fix' : ["f90", "-Wv,-ya"],
+        'compiler_f90' : ["f90"],
+        'linker_so'    : [""],
+        'archiver'     : ["ar", "-cr"],
+        'ranlib'       : ["ranlib"]
+        }
+    module_dir_switch = None  #XXX Fix me
+    module_include_switch = None #XXX Fix me
+
+    def find_executables(self):
+        pass
+
+    def get_version_cmd(self):
+        f90 = self.compiler_f90[0]
+        d, b = os.path.split(f90)
+        vf90 = os.path.join(d, 'v'+b)
+        return vf90
+
+    def get_flags_arch(self):
+        vast_version = self.get_version()
+        gnu = GnuFCompiler()
+        gnu.customize(None)
+        self.version = gnu.get_version()
+        opt = GnuFCompiler.get_flags_arch(self)
+        self.version = vast_version
+        return opt
+
+if __name__ == '__main__':
+    from distutils import log
+    log.set_verbosity(2)
+    from numpy.distutils import customized_fcompiler
+    print(customized_fcompiler(compiler='vast').get_version())
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/from_template.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/from_template.py
new file mode 100644
index 0000000000000000000000000000000000000000..90d1f4c384c7807c621eada8ed7685e5845c5c56
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/from_template.py
@@ -0,0 +1,261 @@
+#!/usr/bin/env python3
+"""
+
+process_file(filename)
+
+  takes templated file .xxx.src and produces .xxx file where .xxx
+  is .pyf .f90 or .f using the following template rules:
+
+  '<..>' denotes a template.
+
+  All function and subroutine blocks in a source file with names that
+  contain '<..>' will be replicated according to the rules in '<..>'.
+
+  The number of comma-separated words in '<..>' will determine the number of
+  replicates.
+
+  '<..>' may have two different forms, named and short. For example,
+
+  named:
+    where anywhere inside a block '
' will be replaced with
+   'd', 's', 'z', and 'c' for each replicate of the block.
+
+   <_c>  is already defined: <_c=s,d,c,z>
+   <_t>  is already defined: <_t=real,double precision,complex,double complex>
+
+  short:
+   , a short form of the named, useful when no 
 appears inside
+   a block.
+
+  In general, '<..>' contains a comma separated list of arbitrary
+  expressions. If these expression must contain a comma|leftarrow|rightarrow,
+  then prepend the comma|leftarrow|rightarrow with a backslash.
+
+  If an expression matches '\\' then it will be replaced
+  by -th expression.
+
+  Note that all '<..>' forms in a block must have the same number of
+  comma-separated entries.
+
+ Predefined named template rules:
+  
+  
+  
+  
+  
+
+"""
+__all__ = ['process_str', 'process_file']
+
+import os
+import sys
+import re
+
+routine_start_re = re.compile(r'(\n|\A)((     (\$|\*))|)\s*(subroutine|function)\b', re.I)
+routine_end_re = re.compile(r'\n\s*end\s*(subroutine|function)\b.*(\n|\Z)', re.I)
+function_start_re = re.compile(r'\n     (\$|\*)\s*function\b', re.I)
+
+def parse_structure(astr):
+    """ Return a list of tuples for each function or subroutine each
+    tuple is the start and end of a subroutine or function to be
+    expanded.
+    """
+
+    spanlist = []
+    ind = 0
+    while True:
+        m = routine_start_re.search(astr, ind)
+        if m is None:
+            break
+        start = m.start()
+        if function_start_re.match(astr, start, m.end()):
+            while True:
+                i = astr.rfind('\n', ind, start)
+                if i==-1:
+                    break
+                start = i
+                if astr[i:i+7]!='\n     $':
+                    break
+        start += 1
+        m = routine_end_re.search(astr, m.end())
+        ind = end = m and m.end()-1 or len(astr)
+        spanlist.append((start, end))
+    return spanlist
+
+template_re = re.compile(r"<\s*(\w[\w\d]*)\s*>")
+named_re = re.compile(r"<\s*(\w[\w\d]*)\s*=\s*(.*?)\s*>")
+list_re = re.compile(r"<\s*((.*?))\s*>")
+
+def find_repl_patterns(astr):
+    reps = named_re.findall(astr)
+    names = {}
+    for rep in reps:
+        name = rep[0].strip() or unique_key(names)
+        repl = rep[1].replace(r'\,', '@comma@')
+        thelist = conv(repl)
+        names[name] = thelist
+    return names
+
+def find_and_remove_repl_patterns(astr):
+    names = find_repl_patterns(astr)
+    astr = re.subn(named_re, '', astr)[0]
+    return astr, names
+
+item_re = re.compile(r"\A\\(?P\d+)\Z")
+def conv(astr):
+    b = astr.split(',')
+    l = [x.strip() for x in b]
+    for i in range(len(l)):
+        m = item_re.match(l[i])
+        if m:
+            j = int(m.group('index'))
+            l[i] = l[j]
+    return ','.join(l)
+
+def unique_key(adict):
+    """ Obtain a unique key given a dictionary."""
+    allkeys = list(adict.keys())
+    done = False
+    n = 1
+    while not done:
+        newkey = '__l%s' % (n)
+        if newkey in allkeys:
+            n += 1
+        else:
+            done = True
+    return newkey
+
+
+template_name_re = re.compile(r'\A\s*(\w[\w\d]*)\s*\Z')
+def expand_sub(substr, names):
+    substr = substr.replace(r'\>', '@rightarrow@')
+    substr = substr.replace(r'\<', '@leftarrow@')
+    lnames = find_repl_patterns(substr)
+    substr = named_re.sub(r"<\1>", substr)  # get rid of definition templates
+
+    def listrepl(mobj):
+        thelist = conv(mobj.group(1).replace(r'\,', '@comma@'))
+        if template_name_re.match(thelist):
+            return "<%s>" % (thelist)
+        name = None
+        for key in lnames.keys():    # see if list is already in dictionary
+            if lnames[key] == thelist:
+                name = key
+        if name is None:      # this list is not in the dictionary yet
+            name = unique_key(lnames)
+            lnames[name] = thelist
+        return "<%s>" % name
+
+    substr = list_re.sub(listrepl, substr) # convert all lists to named templates
+                                           # newnames are constructed as needed
+
+    numsubs = None
+    base_rule = None
+    rules = {}
+    for r in template_re.findall(substr):
+        if r not in rules:
+            thelist = lnames.get(r, names.get(r, None))
+            if thelist is None:
+                raise ValueError('No replicates found for <%s>' % (r))
+            if r not in names and not thelist.startswith('_'):
+                names[r] = thelist
+            rule = [i.replace('@comma@', ',') for i in thelist.split(',')]
+            num = len(rule)
+
+            if numsubs is None:
+                numsubs = num
+                rules[r] = rule
+                base_rule = r
+            elif num == numsubs:
+                rules[r] = rule
+            else:
+                print("Mismatch in number of replacements (base <%s=%s>)"
+                      " for <%s=%s>. Ignoring." %
+                      (base_rule, ','.join(rules[base_rule]), r, thelist))
+    if not rules:
+        return substr
+
+    def namerepl(mobj):
+        name = mobj.group(1)
+        return rules.get(name, (k+1)*[name])[k]
+
+    newstr = ''
+    for k in range(numsubs):
+        newstr += template_re.sub(namerepl, substr) + '\n\n'
+
+    newstr = newstr.replace('@rightarrow@', '>')
+    newstr = newstr.replace('@leftarrow@', '<')
+    return newstr
+
+def process_str(allstr):
+    newstr = allstr
+    writestr = ''
+
+    struct = parse_structure(newstr)
+
+    oldend = 0
+    names = {}
+    names.update(_special_names)
+    for sub in struct:
+        cleanedstr, defs = find_and_remove_repl_patterns(newstr[oldend:sub[0]])
+        writestr += cleanedstr
+        names.update(defs)
+        writestr += expand_sub(newstr[sub[0]:sub[1]], names)
+        oldend =  sub[1]
+    writestr += newstr[oldend:]
+
+    return writestr
+
+include_src_re = re.compile(r"(\n|\A)\s*include\s*['\"](?P[\w\d./\\]+\.src)['\"]", re.I)
+
+def resolve_includes(source):
+    d = os.path.dirname(source)
+    with open(source) as fid:
+        lines = []
+        for line in fid:
+            m = include_src_re.match(line)
+            if m:
+                fn = m.group('name')
+                if not os.path.isabs(fn):
+                    fn = os.path.join(d, fn)
+                if os.path.isfile(fn):
+                    lines.extend(resolve_includes(fn))
+                else:
+                    lines.append(line)
+            else:
+                lines.append(line)
+    return lines
+
+def process_file(source):
+    lines = resolve_includes(source)
+    return process_str(''.join(lines))
+
+_special_names = find_repl_patterns('''
+<_c=s,d,c,z>
+<_t=real,double precision,complex,double complex>
+
+
+
+
+
+''')
+
+def main():
+    try:
+        file = sys.argv[1]
+    except IndexError:
+        fid = sys.stdin
+        outfile = sys.stdout
+    else:
+        fid = open(file, 'r')
+        (base, ext) = os.path.splitext(file)
+        newname = base
+        outfile = open(newname, 'w')
+
+    allstr = fid.read()
+    writestr = process_str(allstr)
+    outfile.write(writestr)
+
+
+if __name__ == "__main__":
+    main()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fujitsuccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fujitsuccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..c25900b34f1ddad3274d9eca1fb4369b39f7437a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/fujitsuccompiler.py
@@ -0,0 +1,28 @@
+from distutils.unixccompiler import UnixCCompiler
+
+class FujitsuCCompiler(UnixCCompiler):
+
+    """
+    Fujitsu compiler.
+    """
+
+    compiler_type = 'fujitsu'
+    cc_exe = 'fcc'
+    cxx_exe = 'FCC'
+
+    def __init__(self, verbose=0, dry_run=0, force=0):
+        UnixCCompiler.__init__(self, verbose, dry_run, force)
+        cc_compiler = self.cc_exe
+        cxx_compiler = self.cxx_exe
+        self.set_executables(
+            compiler=cc_compiler +
+            ' -O3 -Nclang -fPIC',
+            compiler_so=cc_compiler +
+            ' -O3 -Nclang -fPIC',
+            compiler_cxx=cxx_compiler +
+            ' -O3 -Nclang -fPIC',
+            linker_exe=cc_compiler +
+            ' -lfj90i -lfj90f -lfjsrcinfo -lelf -shared',
+            linker_so=cc_compiler +
+            ' -lfj90i -lfj90f -lfjsrcinfo -lelf -shared'
+            )
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/intelccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/intelccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..77fb39889a29256dbf25612d4acaf249e03eba35
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/intelccompiler.py
@@ -0,0 +1,106 @@
+import platform
+
+from distutils.unixccompiler import UnixCCompiler
+from numpy.distutils.exec_command import find_executable
+from numpy.distutils.ccompiler import simple_version_match
+if platform.system() == 'Windows':
+    from numpy.distutils.msvc9compiler import MSVCCompiler
+
+
+class IntelCCompiler(UnixCCompiler):
+    """A modified Intel compiler compatible with a GCC-built Python."""
+    compiler_type = 'intel'
+    cc_exe = 'icc'
+    cc_args = 'fPIC'
+
+    def __init__(self, verbose=0, dry_run=0, force=0):
+        UnixCCompiler.__init__(self, verbose, dry_run, force)
+
+        v = self.get_version()
+        mpopt = 'openmp' if v and v < '15' else 'qopenmp'
+        self.cc_exe = ('icc -fPIC -fp-model strict -O3 '
+                       '-fomit-frame-pointer -{}').format(mpopt)
+        compiler = self.cc_exe
+
+        if platform.system() == 'Darwin':
+            shared_flag = '-Wl,-undefined,dynamic_lookup'
+        else:
+            shared_flag = '-shared'
+        self.set_executables(compiler=compiler,
+                             compiler_so=compiler,
+                             compiler_cxx=compiler,
+                             archiver='xiar' + ' cru',
+                             linker_exe=compiler + ' -shared-intel',
+                             linker_so=compiler + ' ' + shared_flag +
+                             ' -shared-intel')
+
+
+class IntelItaniumCCompiler(IntelCCompiler):
+    compiler_type = 'intele'
+    cc_exe = 'icc'
+
+
+class IntelEM64TCCompiler(UnixCCompiler):
+    """
+    A modified Intel x86_64 compiler compatible with a 64bit GCC-built Python.
+    """
+    compiler_type = 'intelem'
+    cc_exe = 'icc -m64'
+    cc_args = '-fPIC'
+
+    def __init__(self, verbose=0, dry_run=0, force=0):
+        UnixCCompiler.__init__(self, verbose, dry_run, force)
+
+        v = self.get_version()
+        mpopt = 'openmp' if v and v < '15' else 'qopenmp'
+        self.cc_exe = ('icc -std=c99 -m64 -fPIC -fp-model strict -O3 '
+                       '-fomit-frame-pointer -{}').format(mpopt)
+        compiler = self.cc_exe
+
+        if platform.system() == 'Darwin':
+            shared_flag = '-Wl,-undefined,dynamic_lookup'
+        else:
+            shared_flag = '-shared'
+        self.set_executables(compiler=compiler,
+                             compiler_so=compiler,
+                             compiler_cxx=compiler,
+                             archiver='xiar' + ' cru',
+                             linker_exe=compiler + ' -shared-intel',
+                             linker_so=compiler + ' ' + shared_flag +
+                             ' -shared-intel')
+
+
+if platform.system() == 'Windows':
+    class IntelCCompilerW(MSVCCompiler):
+        """
+        A modified Intel compiler compatible with an MSVC-built Python.
+        """
+        compiler_type = 'intelw'
+        compiler_cxx = 'icl'
+
+        def __init__(self, verbose=0, dry_run=0, force=0):
+            MSVCCompiler.__init__(self, verbose, dry_run, force)
+            version_match = simple_version_match(start=r'Intel\(R\).*?32,')
+            self.__version = version_match
+
+        def initialize(self, plat_name=None):
+            MSVCCompiler.initialize(self, plat_name)
+            self.cc = self.find_exe('icl.exe')
+            self.lib = self.find_exe('xilib')
+            self.linker = self.find_exe('xilink')
+            self.compile_options = ['/nologo', '/O3', '/MD', '/W3',
+                                    '/Qstd=c99']
+            self.compile_options_debug = ['/nologo', '/Od', '/MDd', '/W3',
+                                          '/Qstd=c99', '/Z7', '/D_DEBUG']
+
+    class IntelEM64TCCompilerW(IntelCCompilerW):
+        """
+        A modified Intel x86_64 compiler compatible with
+        a 64bit MSVC-built Python.
+        """
+        compiler_type = 'intelemw'
+
+        def __init__(self, verbose=0, dry_run=0, force=0):
+            MSVCCompiler.__init__(self, verbose, dry_run, force)
+            version_match = simple_version_match(start=r'Intel\(R\).*?64,')
+            self.__version = version_match
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/lib2def.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/lib2def.py
new file mode 100644
index 0000000000000000000000000000000000000000..851682c633109e4d8644d80bb501e5cafcd39d04
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/lib2def.py
@@ -0,0 +1,116 @@
+import re
+import sys
+import subprocess
+
+__doc__ = """This module generates a DEF file from the symbols in
+an MSVC-compiled DLL import library.  It correctly discriminates between
+data and functions.  The data is collected from the output of the program
+nm(1).
+
+Usage:
+    python lib2def.py [libname.lib] [output.def]
+or
+    python lib2def.py [libname.lib] > output.def
+
+libname.lib defaults to python.lib and output.def defaults to stdout
+
+Author: Robert Kern 
+Last Update: April 30, 1999
+"""
+
+__version__ = '0.1a'
+
+py_ver = "%d%d" % tuple(sys.version_info[:2])
+
+DEFAULT_NM = ['nm', '-Cs']
+
+DEF_HEADER = """LIBRARY         python%s.dll
+;CODE           PRELOAD MOVEABLE DISCARDABLE
+;DATA           PRELOAD SINGLE
+
+EXPORTS
+""" % py_ver
+# the header of the DEF file
+
+FUNC_RE = re.compile(r"^(.*) in python%s\.dll" % py_ver, re.MULTILINE)
+DATA_RE = re.compile(r"^_imp__(.*) in python%s\.dll" % py_ver, re.MULTILINE)
+
+def parse_cmd():
+    """Parses the command-line arguments.
+
+libfile, deffile = parse_cmd()"""
+    if len(sys.argv) == 3:
+        if sys.argv[1][-4:] == '.lib' and sys.argv[2][-4:] == '.def':
+            libfile, deffile = sys.argv[1:]
+        elif sys.argv[1][-4:] == '.def' and sys.argv[2][-4:] == '.lib':
+            deffile, libfile = sys.argv[1:]
+        else:
+            print("I'm assuming that your first argument is the library")
+            print("and the second is the DEF file.")
+    elif len(sys.argv) == 2:
+        if sys.argv[1][-4:] == '.def':
+            deffile = sys.argv[1]
+            libfile = 'python%s.lib' % py_ver
+        elif sys.argv[1][-4:] == '.lib':
+            deffile = None
+            libfile = sys.argv[1]
+    else:
+        libfile = 'python%s.lib' % py_ver
+        deffile = None
+    return libfile, deffile
+
+def getnm(nm_cmd=['nm', '-Cs', 'python%s.lib' % py_ver], shell=True):
+    """Returns the output of nm_cmd via a pipe.
+
+nm_output = getnm(nm_cmd = 'nm -Cs py_lib')"""
+    p = subprocess.Popen(nm_cmd, shell=shell, stdout=subprocess.PIPE,
+                         stderr=subprocess.PIPE, text=True)
+    nm_output, nm_err = p.communicate()
+    if p.returncode != 0:
+        raise RuntimeError('failed to run "%s": "%s"' % (
+                                     ' '.join(nm_cmd), nm_err))
+    return nm_output
+
+def parse_nm(nm_output):
+    """Returns a tuple of lists: dlist for the list of data
+symbols and flist for the list of function symbols.
+
+dlist, flist = parse_nm(nm_output)"""
+    data = DATA_RE.findall(nm_output)
+    func = FUNC_RE.findall(nm_output)
+
+    flist = []
+    for sym in data:
+        if sym in func and (sym[:2] == 'Py' or sym[:3] == '_Py' or sym[:4] == 'init'):
+            flist.append(sym)
+
+    dlist = []
+    for sym in data:
+        if sym not in flist and (sym[:2] == 'Py' or sym[:3] == '_Py'):
+            dlist.append(sym)
+
+    dlist.sort()
+    flist.sort()
+    return dlist, flist
+
+def output_def(dlist, flist, header, file = sys.stdout):
+    """Outputs the final DEF file to a file defaulting to stdout.
+
+output_def(dlist, flist, header, file = sys.stdout)"""
+    for data_sym in dlist:
+        header = header + '\t%s DATA\n' % data_sym
+    header = header + '\n' # blank line
+    for func_sym in flist:
+        header = header + '\t%s\n' % func_sym
+    file.write(header)
+
+if __name__ == '__main__':
+    libfile, deffile = parse_cmd()
+    if deffile is None:
+        deffile = sys.stdout
+    else:
+        deffile = open(deffile, 'w')
+    nm_cmd = DEFAULT_NM + [str(libfile)]
+    nm_output = getnm(nm_cmd, shell=False)
+    dlist, flist = parse_nm(nm_output)
+    output_def(dlist, flist, DEF_HEADER, deffile)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/line_endings.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/line_endings.py
new file mode 100644
index 0000000000000000000000000000000000000000..686e5ebd937fff16d5aa7f154d5c823ed17d9e0a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/line_endings.py
@@ -0,0 +1,77 @@
+""" Functions for converting from DOS to UNIX line endings
+
+"""
+import os
+import re
+import sys
+
+
+def dos2unix(file):
+    "Replace CRLF with LF in argument files.  Print names of changed files."
+    if os.path.isdir(file):
+        print(file, "Directory!")
+        return
+
+    with open(file, "rb") as fp:
+        data = fp.read()
+    if '\0' in data:
+        print(file, "Binary!")
+        return
+
+    newdata = re.sub("\r\n", "\n", data)
+    if newdata != data:
+        print('dos2unix:', file)
+        with open(file, "wb") as f:
+            f.write(newdata)
+        return file
+    else:
+        print(file, 'ok')
+
+def dos2unix_one_dir(modified_files, dir_name, file_names):
+    for file in file_names:
+        full_path = os.path.join(dir_name, file)
+        file = dos2unix(full_path)
+        if file is not None:
+            modified_files.append(file)
+
+def dos2unix_dir(dir_name):
+    modified_files = []
+    os.path.walk(dir_name, dos2unix_one_dir, modified_files)
+    return modified_files
+#----------------------------------
+
+def unix2dos(file):
+    "Replace LF with CRLF in argument files.  Print names of changed files."
+    if os.path.isdir(file):
+        print(file, "Directory!")
+        return
+
+    with open(file, "rb") as fp:
+        data = fp.read()
+    if '\0' in data:
+        print(file, "Binary!")
+        return
+    newdata = re.sub("\r\n", "\n", data)
+    newdata = re.sub("\n", "\r\n", newdata)
+    if newdata != data:
+        print('unix2dos:', file)
+        with open(file, "wb") as f:
+            f.write(newdata)
+        return file
+    else:
+        print(file, 'ok')
+
+def unix2dos_one_dir(modified_files, dir_name, file_names):
+    for file in file_names:
+        full_path = os.path.join(dir_name, file)
+        unix2dos(full_path)
+        if file is not None:
+            modified_files.append(file)
+
+def unix2dos_dir(dir_name):
+    modified_files = []
+    os.path.walk(dir_name, unix2dos_one_dir, modified_files)
+    return modified_files
+
+if __name__ == "__main__":
+    dos2unix_dir(sys.argv[1])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/log.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/log.py
new file mode 100644
index 0000000000000000000000000000000000000000..3347f56d6fe95ebe5388de8d740ef4ddf8db317d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/log.py
@@ -0,0 +1,111 @@
+# Colored log
+import sys
+from distutils.log import *  # noqa: F403
+from distutils.log import Log as old_Log
+from distutils.log import _global_log
+
+from numpy.distutils.misc_util import (red_text, default_text, cyan_text,
+        green_text, is_sequence, is_string)
+
+
+def _fix_args(args,flag=1):
+    if is_string(args):
+        return args.replace('%', '%%')
+    if flag and is_sequence(args):
+        return tuple([_fix_args(a, flag=0) for a in args])
+    return args
+
+
+class Log(old_Log):
+    def _log(self, level, msg, args):
+        if level >= self.threshold:
+            if args:
+                msg = msg % _fix_args(args)
+            if 0:
+                if msg.startswith('copying ') and msg.find(' -> ') != -1:
+                    return
+                if msg.startswith('byte-compiling '):
+                    return
+            print(_global_color_map[level](msg))
+            sys.stdout.flush()
+
+    def good(self, msg, *args):
+        """
+        If we log WARN messages, log this message as a 'nice' anti-warn
+        message.
+
+        """
+        if WARN >= self.threshold:
+            if args:
+                print(green_text(msg % _fix_args(args)))
+            else:
+                print(green_text(msg))
+            sys.stdout.flush()
+
+
+_global_log.__class__ = Log
+
+good = _global_log.good
+
+def set_threshold(level, force=False):
+    prev_level = _global_log.threshold
+    if prev_level > DEBUG or force:
+        # If we're running at DEBUG, don't change the threshold, as there's
+        # likely a good reason why we're running at this level.
+        _global_log.threshold = level
+        if level <= DEBUG:
+            info('set_threshold: setting threshold to DEBUG level,'
+                    ' it can be changed only with force argument')
+    else:
+        info('set_threshold: not changing threshold from DEBUG level'
+                ' %s to %s' % (prev_level, level))
+    return prev_level
+
+def get_threshold():
+	return _global_log.threshold
+
+def set_verbosity(v, force=False):
+    prev_level = _global_log.threshold
+    if v < 0:
+        set_threshold(ERROR, force)
+    elif v == 0:
+        set_threshold(WARN, force)
+    elif v == 1:
+        set_threshold(INFO, force)
+    elif v >= 2:
+        set_threshold(DEBUG, force)
+    return {FATAL:-2,ERROR:-1,WARN:0,INFO:1,DEBUG:2}.get(prev_level, 1)
+
+
+_global_color_map = {
+    DEBUG:cyan_text,
+    INFO:default_text,
+    WARN:red_text,
+    ERROR:red_text,
+    FATAL:red_text
+}
+
+# don't use INFO,.. flags in set_verbosity, these flags are for set_threshold.
+set_verbosity(0, force=True)
+
+
+_error = error
+_warn = warn
+_info = info
+_debug = debug
+
+
+def error(msg, *a, **kw):
+    _error(f"ERROR: {msg}", *a, **kw)
+
+
+def warn(msg, *a, **kw):
+    _warn(f"WARN: {msg}", *a, **kw)
+
+
+def info(msg, *a, **kw):
+    _info(f"INFO: {msg}", *a, **kw)
+
+
+def debug(msg, *a, **kw):
+    _debug(f"DEBUG: {msg}", *a, **kw)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/mingw/gfortran_vs2003_hack.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/mingw/gfortran_vs2003_hack.c
new file mode 100644
index 0000000000000000000000000000000000000000..485a675d8a1fb80bc4927fe236ba3fe550f5a0c9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/mingw/gfortran_vs2003_hack.c
@@ -0,0 +1,6 @@
+int _get_output_format(void)
+{
+    return 0;
+}
+
+int _imp____lc_codepage = 0;
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/mingw32ccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/mingw32ccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..2599a9e9a8077359c602e0f963accfc98b3a0037
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/mingw32ccompiler.py
@@ -0,0 +1,597 @@
+"""
+Support code for building Python extensions on Windows.
+
+    # NT stuff
+    # 1. Make sure libpython.a exists for gcc.  If not, build it.
+    # 2. Force windows to use gcc (we're struggling with MSVC and g77 support)
+    # 3. Force windows to use g77
+
+"""
+import os
+import sys
+import subprocess
+import re
+import textwrap
+
+# Overwrite certain distutils.ccompiler functions:
+import numpy.distutils.ccompiler  # noqa: F401
+from numpy.distutils import log
+# NT stuff
+# 1. Make sure libpython.a exists for gcc.  If not, build it.
+# 2. Force windows to use gcc (we're struggling with MSVC and g77 support)
+#    --> this is done in numpy/distutils/ccompiler.py
+# 3. Force windows to use g77
+
+import distutils.cygwinccompiler
+from distutils.unixccompiler import UnixCCompiler
+
+try:
+    from distutils.msvccompiler import get_build_version as get_build_msvc_version
+except ImportError:
+    def get_build_msvc_version():
+        return None
+
+from distutils.errors import UnknownFileError
+from numpy.distutils.misc_util import (msvc_runtime_library,
+                                       msvc_runtime_version,
+                                       msvc_runtime_major,
+                                       get_build_architecture)
+
+def get_msvcr_replacement():
+    """Replacement for outdated version of get_msvcr from cygwinccompiler"""
+    msvcr = msvc_runtime_library()
+    return [] if msvcr is None else [msvcr]
+
+
+# Useful to generate table of symbols from a dll
+_START = re.compile(r'\[Ordinal/Name Pointer\] Table')
+_TABLE = re.compile(r'^\s+\[([\s*[0-9]*)\] ([a-zA-Z0-9_]*)')
+
+# the same as cygwin plus some additional parameters
+class Mingw32CCompiler(distutils.cygwinccompiler.CygwinCCompiler):
+    """ A modified MingW32 compiler compatible with an MSVC built Python.
+
+    """
+
+    compiler_type = 'mingw32'
+
+    def __init__ (self,
+                  verbose=0,
+                  dry_run=0,
+                  force=0):
+
+        distutils.cygwinccompiler.CygwinCCompiler.__init__ (self, verbose,
+                                                            dry_run, force)
+
+        # **changes: eric jones 4/11/01
+        # 1. Check for import library on Windows.  Build if it doesn't exist.
+
+        build_import_library()
+
+        # Check for custom msvc runtime library on Windows. Build if it doesn't exist.
+        msvcr_success = build_msvcr_library()
+        msvcr_dbg_success = build_msvcr_library(debug=True)
+        if msvcr_success or msvcr_dbg_success:
+            # add preprocessor statement for using customized msvcr lib
+            self.define_macro('NPY_MINGW_USE_CUSTOM_MSVCR')
+
+        # Define the MSVC version as hint for MinGW
+        msvcr_version = msvc_runtime_version()
+        if msvcr_version:
+            self.define_macro('__MSVCRT_VERSION__', '0x%04i' % msvcr_version)
+
+        # MS_WIN64 should be defined when building for amd64 on windows,
+        # but python headers define it only for MS compilers, which has all
+        # kind of bad consequences, like using Py_ModuleInit4 instead of
+        # Py_ModuleInit4_64, etc... So we add it here
+        if get_build_architecture() == 'AMD64':
+            self.set_executables(
+                compiler='gcc -g -DDEBUG -DMS_WIN64 -O0 -Wall',
+                compiler_so='gcc -g -DDEBUG -DMS_WIN64 -O0 -Wall '
+                            '-Wstrict-prototypes',
+                linker_exe='gcc -g',
+                linker_so='gcc -g -shared')
+        else:
+            self.set_executables(
+                compiler='gcc -O2 -Wall',
+                compiler_so='gcc -O2 -Wall -Wstrict-prototypes',
+                linker_exe='g++ ',
+                linker_so='g++ -shared')
+        # added for python2.3 support
+        # we can't pass it through set_executables because pre 2.2 would fail
+        self.compiler_cxx = ['g++']
+
+        # Maybe we should also append -mthreads, but then the finished dlls
+        # need another dll (mingwm10.dll see Mingw32 docs) (-mthreads: Support
+        # thread-safe exception handling on `Mingw32')
+
+        # no additional libraries needed
+        #self.dll_libraries=[]
+        return
+
+    # __init__ ()
+
+    def link(self,
+             target_desc,
+             objects,
+             output_filename,
+             output_dir,
+             libraries,
+             library_dirs,
+             runtime_library_dirs,
+             export_symbols = None,
+             debug=0,
+             extra_preargs=None,
+             extra_postargs=None,
+             build_temp=None,
+             target_lang=None):
+        # Include the appropriate MSVC runtime library if Python was built
+        # with MSVC >= 7.0 (MinGW standard is msvcrt)
+        runtime_library = msvc_runtime_library()
+        if runtime_library:
+            if not libraries:
+                libraries = []
+            libraries.append(runtime_library)
+        args = (self,
+                target_desc,
+                objects,
+                output_filename,
+                output_dir,
+                libraries,
+                library_dirs,
+                runtime_library_dirs,
+                None, #export_symbols, we do this in our def-file
+                debug,
+                extra_preargs,
+                extra_postargs,
+                build_temp,
+                target_lang)
+        func = UnixCCompiler.link
+        func(*args[:func.__code__.co_argcount])
+        return
+
+    def object_filenames (self,
+                          source_filenames,
+                          strip_dir=0,
+                          output_dir=''):
+        if output_dir is None: output_dir = ''
+        obj_names = []
+        for src_name in source_filenames:
+            # use normcase to make sure '.rc' is really '.rc' and not '.RC'
+            (base, ext) = os.path.splitext (os.path.normcase(src_name))
+
+            # added these lines to strip off windows drive letters
+            # without it, .o files are placed next to .c files
+            # instead of the build directory
+            drv, base = os.path.splitdrive(base)
+            if drv:
+                base = base[1:]
+
+            if ext not in (self.src_extensions + ['.rc', '.res']):
+                raise UnknownFileError(
+                      "unknown file type '%s' (from '%s')" % \
+                      (ext, src_name))
+            if strip_dir:
+                base = os.path.basename (base)
+            if ext == '.res' or ext == '.rc':
+                # these need to be compiled to object files
+                obj_names.append (os.path.join (output_dir,
+                                                base + ext + self.obj_extension))
+            else:
+                obj_names.append (os.path.join (output_dir,
+                                                base + self.obj_extension))
+        return obj_names
+
+    # object_filenames ()
+
+
+def find_python_dll():
+    # We can't do much here:
+    # - find it in the virtualenv (sys.prefix)
+    # - find it in python main dir (sys.base_prefix, if in a virtualenv)
+    # - in system32,
+    # - otherwise (Sxs), I don't know how to get it.
+    stems = [sys.prefix]
+    if sys.base_prefix != sys.prefix:
+        stems.append(sys.base_prefix)
+
+    sub_dirs = ['', 'lib', 'bin']
+    # generate possible combinations of directory trees and sub-directories
+    lib_dirs = []
+    for stem in stems:
+        for folder in sub_dirs:
+            lib_dirs.append(os.path.join(stem, folder))
+
+    # add system directory as well
+    if 'SYSTEMROOT' in os.environ:
+        lib_dirs.append(os.path.join(os.environ['SYSTEMROOT'], 'System32'))
+
+    # search in the file system for possible candidates
+    major_version, minor_version = tuple(sys.version_info[:2])
+    implementation = sys.implementation.name
+    if implementation == 'cpython':
+        dllname = f'python{major_version}{minor_version}.dll'
+    elif implementation == 'pypy':
+        dllname = f'libpypy{major_version}.{minor_version}-c.dll'
+    else:
+        dllname = f'Unknown platform {implementation}' 
+    print("Looking for %s" % dllname)
+    for folder in lib_dirs:
+        dll = os.path.join(folder, dllname)
+        if os.path.exists(dll):
+            return dll
+ 
+    raise ValueError("%s not found in %s" % (dllname, lib_dirs))
+
+def dump_table(dll):
+    st = subprocess.check_output(["objdump.exe", "-p", dll])
+    return st.split(b'\n')
+
+def generate_def(dll, dfile):
+    """Given a dll file location,  get all its exported symbols and dump them
+    into the given def file.
+
+    The .def file will be overwritten"""
+    dump = dump_table(dll)
+    for i in range(len(dump)):
+        if _START.match(dump[i].decode()):
+            break
+    else:
+        raise ValueError("Symbol table not found")
+
+    syms = []
+    for j in range(i+1, len(dump)):
+        m = _TABLE.match(dump[j].decode())
+        if m:
+            syms.append((int(m.group(1).strip()), m.group(2)))
+        else:
+            break
+
+    if len(syms) == 0:
+        log.warn('No symbols found in %s' % dll)
+
+    with open(dfile, 'w') as d:
+        d.write('LIBRARY        %s\n' % os.path.basename(dll))
+        d.write(';CODE          PRELOAD MOVEABLE DISCARDABLE\n')
+        d.write(';DATA          PRELOAD SINGLE\n')
+        d.write('\nEXPORTS\n')
+        for s in syms:
+            #d.write('@%d    %s\n' % (s[0], s[1]))
+            d.write('%s\n' % s[1])
+
+def find_dll(dll_name):
+
+    arch = {'AMD64' : 'amd64',
+            'Intel' : 'x86'}[get_build_architecture()]
+
+    def _find_dll_in_winsxs(dll_name):
+        # Walk through the WinSxS directory to find the dll.
+        winsxs_path = os.path.join(os.environ.get('WINDIR', r'C:\WINDOWS'),
+                                   'winsxs')
+        if not os.path.exists(winsxs_path):
+            return None
+        for root, dirs, files in os.walk(winsxs_path):
+            if dll_name in files and arch in root:
+                return os.path.join(root, dll_name)
+        return None
+
+    def _find_dll_in_path(dll_name):
+        # First, look in the Python directory, then scan PATH for
+        # the given dll name.
+        for path in [sys.prefix] + os.environ['PATH'].split(';'):
+            filepath = os.path.join(path, dll_name)
+            if os.path.exists(filepath):
+                return os.path.abspath(filepath)
+
+    return _find_dll_in_winsxs(dll_name) or _find_dll_in_path(dll_name)
+
+def build_msvcr_library(debug=False):
+    if os.name != 'nt':
+        return False
+
+    # If the version number is None, then we couldn't find the MSVC runtime at
+    # all, because we are running on a Python distribution which is customed
+    # compiled; trust that the compiler is the same as the one available to us
+    # now, and that it is capable of linking with the correct runtime without
+    # any extra options.
+    msvcr_ver = msvc_runtime_major()
+    if msvcr_ver is None:
+        log.debug('Skip building import library: '
+                  'Runtime is not compiled with MSVC')
+        return False
+
+    # Skip using a custom library for versions < MSVC 8.0
+    if msvcr_ver < 80:
+        log.debug('Skip building msvcr library:'
+                  ' custom functionality not present')
+        return False
+
+    msvcr_name = msvc_runtime_library()
+    if debug:
+        msvcr_name += 'd'
+
+    # Skip if custom library already exists
+    out_name = "lib%s.a" % msvcr_name
+    out_file = os.path.join(sys.prefix, 'libs', out_name)
+    if os.path.isfile(out_file):
+        log.debug('Skip building msvcr library: "%s" exists' %
+                  (out_file,))
+        return True
+
+    # Find the msvcr dll
+    msvcr_dll_name = msvcr_name + '.dll'
+    dll_file = find_dll(msvcr_dll_name)
+    if not dll_file:
+        log.warn('Cannot build msvcr library: "%s" not found' %
+                 msvcr_dll_name)
+        return False
+
+    def_name = "lib%s.def" % msvcr_name
+    def_file = os.path.join(sys.prefix, 'libs', def_name)
+
+    log.info('Building msvcr library: "%s" (from %s)' \
+             % (out_file, dll_file))
+
+    # Generate a symbol definition file from the msvcr dll
+    generate_def(dll_file, def_file)
+
+    # Create a custom mingw library for the given symbol definitions
+    cmd = ['dlltool', '-d', def_file, '-l', out_file]
+    retcode = subprocess.call(cmd)
+
+    # Clean up symbol definitions
+    os.remove(def_file)
+
+    return (not retcode)
+
+def build_import_library():
+    if os.name != 'nt':
+        return
+
+    arch = get_build_architecture()
+    if arch == 'AMD64':
+        return _build_import_library_amd64()
+    elif arch == 'Intel':
+        return _build_import_library_x86()
+    else:
+        raise ValueError("Unhandled arch %s" % arch)
+
+def _check_for_import_lib():
+    """Check if an import library for the Python runtime already exists."""
+    major_version, minor_version = tuple(sys.version_info[:2])
+
+    # patterns for the file name of the library itself
+    patterns = ['libpython%d%d.a',
+                'libpython%d%d.dll.a',
+                'libpython%d.%d.dll.a']
+
+    # directory trees that may contain the library
+    stems = [sys.prefix]
+    if hasattr(sys, 'base_prefix') and sys.base_prefix != sys.prefix:
+        stems.append(sys.base_prefix)
+    elif hasattr(sys, 'real_prefix') and sys.real_prefix != sys.prefix:
+        stems.append(sys.real_prefix)
+
+    # possible subdirectories within those trees where it is placed
+    sub_dirs = ['libs', 'lib']
+
+    # generate a list of candidate locations
+    candidates = []
+    for pat in patterns:
+        filename = pat % (major_version, minor_version)
+        for stem_dir in stems:
+            for folder in sub_dirs:
+                candidates.append(os.path.join(stem_dir, folder, filename))
+
+    # test the filesystem to see if we can find any of these
+    for fullname in candidates:
+        if os.path.isfile(fullname):
+            # already exists, in location given
+            return (True, fullname)
+
+    # needs to be built, preferred location given first
+    return (False, candidates[0])
+
+def _build_import_library_amd64():
+    out_exists, out_file = _check_for_import_lib()
+    if out_exists:
+        log.debug('Skip building import library: "%s" exists', out_file)
+        return
+
+    # get the runtime dll for which we are building import library
+    dll_file = find_python_dll()
+    log.info('Building import library (arch=AMD64): "%s" (from %s)' %
+             (out_file, dll_file))
+
+    # generate symbol list from this library
+    def_name = "python%d%d.def" % tuple(sys.version_info[:2])
+    def_file = os.path.join(sys.prefix, 'libs', def_name)
+    generate_def(dll_file, def_file)
+
+    # generate import library from this symbol list
+    cmd = ['dlltool', '-d', def_file, '-l', out_file]
+    subprocess.check_call(cmd)
+
+def _build_import_library_x86():
+    """ Build the import libraries for Mingw32-gcc on Windows
+    """
+    out_exists, out_file = _check_for_import_lib()
+    if out_exists:
+        log.debug('Skip building import library: "%s" exists', out_file)
+        return
+
+    lib_name = "python%d%d.lib" % tuple(sys.version_info[:2])
+    lib_file = os.path.join(sys.prefix, 'libs', lib_name)
+    if not os.path.isfile(lib_file):
+        # didn't find library file in virtualenv, try base distribution, too,
+        # and use that instead if found there. for Python 2.7 venvs, the base
+        # directory is in attribute real_prefix instead of base_prefix.
+        if hasattr(sys, 'base_prefix'):
+            base_lib = os.path.join(sys.base_prefix, 'libs', lib_name)
+        elif hasattr(sys, 'real_prefix'):
+            base_lib = os.path.join(sys.real_prefix, 'libs', lib_name)
+        else:
+            base_lib = ''  # os.path.isfile('') == False
+
+        if os.path.isfile(base_lib):
+            lib_file = base_lib
+        else:
+            log.warn('Cannot build import library: "%s" not found', lib_file)
+            return
+    log.info('Building import library (ARCH=x86): "%s"', out_file)
+
+    from numpy.distutils import lib2def
+
+    def_name = "python%d%d.def" % tuple(sys.version_info[:2])
+    def_file = os.path.join(sys.prefix, 'libs', def_name)
+    nm_output = lib2def.getnm(
+            lib2def.DEFAULT_NM + [lib_file], shell=False)
+    dlist, flist = lib2def.parse_nm(nm_output)
+    with open(def_file, 'w') as fid:
+        lib2def.output_def(dlist, flist, lib2def.DEF_HEADER, fid)
+
+    dll_name = find_python_dll ()
+
+    cmd = ["dlltool",
+           "--dllname", dll_name,
+           "--def", def_file,
+           "--output-lib", out_file]
+    status = subprocess.check_output(cmd)
+    if status:
+        log.warn('Failed to build import library for gcc. Linking will fail.')
+    return
+
+#=====================================
+# Dealing with Visual Studio MANIFESTS
+#=====================================
+
+# Functions to deal with visual studio manifests. Manifest are a mechanism to
+# enforce strong DLL versioning on windows, and has nothing to do with
+# distutils MANIFEST. manifests are XML files with version info, and used by
+# the OS loader; they are necessary when linking against a DLL not in the
+# system path; in particular, official python 2.6 binary is built against the
+# MS runtime 9 (the one from VS 2008), which is not available on most windows
+# systems; python 2.6 installer does install it in the Win SxS (Side by side)
+# directory, but this requires the manifest for this to work. This is a big
+# mess, thanks MS for a wonderful system.
+
+# XXX: ideally, we should use exactly the same version as used by python. I
+# submitted a patch to get this version, but it was only included for python
+# 2.6.1 and above. So for versions below, we use a "best guess".
+_MSVCRVER_TO_FULLVER = {}
+if sys.platform == 'win32':
+    try:
+        import msvcrt
+        # I took one version in my SxS directory: no idea if it is the good
+        # one, and we can't retrieve it from python
+        _MSVCRVER_TO_FULLVER['80'] = "8.0.50727.42"
+        _MSVCRVER_TO_FULLVER['90'] = "9.0.21022.8"
+        # Value from msvcrt.CRT_ASSEMBLY_VERSION under Python 3.3.0
+        # on Windows XP:
+        _MSVCRVER_TO_FULLVER['100'] = "10.0.30319.460"
+        crt_ver = getattr(msvcrt, 'CRT_ASSEMBLY_VERSION', None)
+        if crt_ver is not None:  # Available at least back to Python 3.3
+            maj, min = re.match(r'(\d+)\.(\d)', crt_ver).groups()
+            _MSVCRVER_TO_FULLVER[maj + min] = crt_ver
+            del maj, min
+        del crt_ver
+    except ImportError:
+        # If we are here, means python was not built with MSVC. Not sure what
+        # to do in that case: manifest building will fail, but it should not be
+        # used in that case anyway
+        log.warn('Cannot import msvcrt: using manifest will not be possible')
+
+def msvc_manifest_xml(maj, min):
+    """Given a major and minor version of the MSVCR, returns the
+    corresponding XML file."""
+    try:
+        fullver = _MSVCRVER_TO_FULLVER[str(maj * 10 + min)]
+    except KeyError:
+        raise ValueError("Version %d,%d of MSVCRT not supported yet" %
+                         (maj, min)) from None
+    # Don't be fooled, it looks like an XML, but it is not. In particular, it
+    # should not have any space before starting, and its size should be
+    # divisible by 4, most likely for alignment constraints when the xml is
+    # embedded in the binary...
+    # This template was copied directly from the python 2.6 binary (using
+    # strings.exe from mingw on python.exe).
+    template = textwrap.dedent("""\
+        
+          
+            
+              
+                
+              
+            
+          
+          
+            
+              
+            
+          
+        """)
+
+    return template % {'fullver': fullver, 'maj': maj, 'min': min}
+
+def manifest_rc(name, type='dll'):
+    """Return the rc file used to generate the res file which will be embedded
+    as manifest for given manifest file name, of given type ('dll' or
+    'exe').
+
+    Parameters
+    ----------
+    name : str
+            name of the manifest file to embed
+    type : str {'dll', 'exe'}
+            type of the binary which will embed the manifest
+
+    """
+    if type == 'dll':
+        rctype = 2
+    elif type == 'exe':
+        rctype = 1
+    else:
+        raise ValueError("Type %s not supported" % type)
+
+    return """\
+#include "winuser.h"
+%d RT_MANIFEST %s""" % (rctype, name)
+
+def check_embedded_msvcr_match_linked(msver):
+    """msver is the ms runtime version used for the MANIFEST."""
+    # check msvcr major version are the same for linking and
+    # embedding
+    maj = msvc_runtime_major()
+    if maj:
+        if not maj == int(msver):
+            raise ValueError(
+                  "Discrepancy between linked msvcr " \
+                  "(%d) and the one about to be embedded " \
+                  "(%d)" % (int(msver), maj))
+
+def configtest_name(config):
+    base = os.path.basename(config._gen_temp_sourcefile("yo", [], "c"))
+    return os.path.splitext(base)[0]
+
+def manifest_name(config):
+    # Get configest name (including suffix)
+    root = configtest_name(config)
+    exext = config.compiler.exe_extension
+    return root + exext + ".manifest"
+
+def rc_name(config):
+    # Get configtest name (including suffix)
+    root = configtest_name(config)
+    return root + ".rc"
+
+def generate_manifest(config):
+    msver = get_build_msvc_version()
+    if msver is not None:
+        if msver >= 8:
+            check_embedded_msvcr_match_linked(msver)
+            ma_str, mi_str = str(msver).split('.')
+            # Write the manifest file
+            manxml = msvc_manifest_xml(int(ma_str), int(mi_str))
+            with open(manifest_name(config), "w") as man:
+                config.temp_files.append(manifest_name(config))
+                man.write(manxml)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/misc_util.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/misc_util.py
new file mode 100644
index 0000000000000000000000000000000000000000..09145e1ddf5279f05800ed747356b4f4a03f795b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/misc_util.py
@@ -0,0 +1,2484 @@
+import os
+import re
+import sys
+import copy
+import glob
+import atexit
+import tempfile
+import subprocess
+import shutil
+import multiprocessing
+import textwrap
+import importlib.util
+from threading import local as tlocal
+from functools import reduce
+
+import distutils
+from distutils.errors import DistutilsError
+
+# stores temporary directory of each thread to only create one per thread
+_tdata = tlocal()
+
+# store all created temporary directories so they can be deleted on exit
+_tmpdirs = []
+def clean_up_temporary_directory():
+    if _tmpdirs is not None:
+        for d in _tmpdirs:
+            try:
+                shutil.rmtree(d)
+            except OSError:
+                pass
+
+atexit.register(clean_up_temporary_directory)
+
+__all__ = ['Configuration', 'get_numpy_include_dirs', 'default_config_dict',
+           'dict_append', 'appendpath', 'generate_config_py',
+           'get_cmd', 'allpath', 'get_mathlibs',
+           'terminal_has_colors', 'red_text', 'green_text', 'yellow_text',
+           'blue_text', 'cyan_text', 'cyg2win32', 'mingw32', 'all_strings',
+           'has_f_sources', 'has_cxx_sources', 'filter_sources',
+           'get_dependencies', 'is_local_src_dir', 'get_ext_source_files',
+           'get_script_files', 'get_lib_source_files', 'get_data_files',
+           'dot_join', 'get_frame', 'minrelpath', 'njoin',
+           'is_sequence', 'is_string', 'as_list', 'gpaths', 'get_language',
+           'get_build_architecture', 'get_info', 'get_pkg_info',
+           'get_num_build_jobs', 'sanitize_cxx_flags',
+           'exec_mod_from_location']
+
+class InstallableLib:
+    """
+    Container to hold information on an installable library.
+
+    Parameters
+    ----------
+    name : str
+        Name of the installed library.
+    build_info : dict
+        Dictionary holding build information.
+    target_dir : str
+        Absolute path specifying where to install the library.
+
+    See Also
+    --------
+    Configuration.add_installed_library
+
+    Notes
+    -----
+    The three parameters are stored as attributes with the same names.
+
+    """
+    def __init__(self, name, build_info, target_dir):
+        self.name = name
+        self.build_info = build_info
+        self.target_dir = target_dir
+
+
+def get_num_build_jobs():
+    """
+    Get number of parallel build jobs set by the --parallel command line
+    argument of setup.py
+    If the command did not receive a setting the environment variable
+    NPY_NUM_BUILD_JOBS is checked. If that is unset, return the number of
+    processors on the system, with a maximum of 8 (to prevent
+    overloading the system if there a lot of CPUs).
+
+    Returns
+    -------
+    out : int
+        number of parallel jobs that can be run
+
+    """
+    from numpy.distutils.core import get_distribution
+    try:
+        cpu_count = len(os.sched_getaffinity(0))
+    except AttributeError:
+        cpu_count = multiprocessing.cpu_count()
+    cpu_count = min(cpu_count, 8)
+    envjobs = int(os.environ.get("NPY_NUM_BUILD_JOBS", cpu_count))
+    dist = get_distribution()
+    # may be None during configuration
+    if dist is None:
+        return envjobs
+
+    # any of these three may have the job set, take the largest
+    cmdattr = (getattr(dist.get_command_obj('build'), 'parallel', None),
+               getattr(dist.get_command_obj('build_ext'), 'parallel', None),
+               getattr(dist.get_command_obj('build_clib'), 'parallel', None))
+    if all(x is None for x in cmdattr):
+        return envjobs
+    else:
+        return max(x for x in cmdattr if x is not None)
+
+def quote_args(args):
+    """Quote list of arguments.
+
+    .. deprecated:: 1.22.
+    """
+    import warnings
+    warnings.warn('"quote_args" is deprecated.',
+                  DeprecationWarning, stacklevel=2)
+    # don't used _nt_quote_args as it does not check if
+    # args items already have quotes or not.
+    args = list(args)
+    for i in range(len(args)):
+        a = args[i]
+        if ' ' in a and a[0] not in '"\'':
+            args[i] = '"%s"' % (a)
+    return args
+
+def allpath(name):
+    "Convert a /-separated pathname to one using the OS's path separator."
+    split = name.split('/')
+    return os.path.join(*split)
+
+def rel_path(path, parent_path):
+    """Return path relative to parent_path."""
+    # Use realpath to avoid issues with symlinked dirs (see gh-7707)
+    pd = os.path.realpath(os.path.abspath(parent_path))
+    apath = os.path.realpath(os.path.abspath(path))
+    if len(apath) < len(pd):
+        return path
+    if apath == pd:
+        return ''
+    if pd == apath[:len(pd)]:
+        assert apath[len(pd)] in [os.sep], repr((path, apath[len(pd)]))
+        path = apath[len(pd)+1:]
+    return path
+
+def get_path_from_frame(frame, parent_path=None):
+    """Return path of the module given a frame object from the call stack.
+
+    Returned path is relative to parent_path when given,
+    otherwise it is absolute path.
+    """
+
+    # First, try to find if the file name is in the frame.
+    try:
+        caller_file = eval('__file__', frame.f_globals, frame.f_locals)
+        d = os.path.dirname(os.path.abspath(caller_file))
+    except NameError:
+        # __file__ is not defined, so let's try __name__. We try this second
+        # because setuptools spoofs __name__ to be '__main__' even though
+        # sys.modules['__main__'] might be something else, like easy_install(1).
+        caller_name = eval('__name__', frame.f_globals, frame.f_locals)
+        __import__(caller_name)
+        mod = sys.modules[caller_name]
+        if hasattr(mod, '__file__'):
+            d = os.path.dirname(os.path.abspath(mod.__file__))
+        else:
+            # we're probably running setup.py as execfile("setup.py")
+            # (likely we're building an egg)
+            d = os.path.abspath('.')
+
+    if parent_path is not None:
+        d = rel_path(d, parent_path)
+
+    return d or '.'
+
+def njoin(*path):
+    """Join two or more pathname components +
+    - convert a /-separated pathname to one using the OS's path separator.
+    - resolve `..` and `.` from path.
+
+    Either passing n arguments as in njoin('a','b'), or a sequence
+    of n names as in njoin(['a','b']) is handled, or a mixture of such arguments.
+    """
+    paths = []
+    for p in path:
+        if is_sequence(p):
+            # njoin(['a', 'b'], 'c')
+            paths.append(njoin(*p))
+        else:
+            assert is_string(p)
+            paths.append(p)
+    path = paths
+    if not path:
+        # njoin()
+        joined = ''
+    else:
+        # njoin('a', 'b')
+        joined = os.path.join(*path)
+    if os.path.sep != '/':
+        joined = joined.replace('/', os.path.sep)
+    return minrelpath(joined)
+
+def get_mathlibs(path=None):
+    """Return the MATHLIB line from numpyconfig.h
+    """
+    if path is not None:
+        config_file = os.path.join(path, '_numpyconfig.h')
+    else:
+        # Look for the file in each of the numpy include directories.
+        dirs = get_numpy_include_dirs()
+        for path in dirs:
+            fn = os.path.join(path, '_numpyconfig.h')
+            if os.path.exists(fn):
+                config_file = fn
+                break
+        else:
+            raise DistutilsError('_numpyconfig.h not found in numpy include '
+                'dirs %r' % (dirs,))
+
+    with open(config_file) as fid:
+        mathlibs = []
+        s = '#define MATHLIB'
+        for line in fid:
+            if line.startswith(s):
+                value = line[len(s):].strip()
+                if value:
+                    mathlibs.extend(value.split(','))
+    return mathlibs
+
+def minrelpath(path):
+    """Resolve `..` and '.' from path.
+    """
+    if not is_string(path):
+        return path
+    if '.' not in path:
+        return path
+    l = path.split(os.sep)
+    while l:
+        try:
+            i = l.index('.', 1)
+        except ValueError:
+            break
+        del l[i]
+    j = 1
+    while l:
+        try:
+            i = l.index('..', j)
+        except ValueError:
+            break
+        if l[i-1]=='..':
+            j += 1
+        else:
+            del l[i], l[i-1]
+            j = 1
+    if not l:
+        return ''
+    return os.sep.join(l)
+
+def sorted_glob(fileglob):
+    """sorts output of python glob for https://bugs.python.org/issue30461
+    to allow extensions to have reproducible build results"""
+    return sorted(glob.glob(fileglob))
+
+def _fix_paths(paths, local_path, include_non_existing):
+    assert is_sequence(paths), repr(type(paths))
+    new_paths = []
+    assert not is_string(paths), repr(paths)
+    for n in paths:
+        if is_string(n):
+            if '*' in n or '?' in n:
+                p = sorted_glob(n)
+                p2 = sorted_glob(njoin(local_path, n))
+                if p2:
+                    new_paths.extend(p2)
+                elif p:
+                    new_paths.extend(p)
+                else:
+                    if include_non_existing:
+                        new_paths.append(n)
+                    print('could not resolve pattern in %r: %r' %
+                            (local_path, n))
+            else:
+                n2 = njoin(local_path, n)
+                if os.path.exists(n2):
+                    new_paths.append(n2)
+                else:
+                    if os.path.exists(n):
+                        new_paths.append(n)
+                    elif include_non_existing:
+                        new_paths.append(n)
+                    if not os.path.exists(n):
+                        print('non-existing path in %r: %r' %
+                                (local_path, n))
+
+        elif is_sequence(n):
+            new_paths.extend(_fix_paths(n, local_path, include_non_existing))
+        else:
+            new_paths.append(n)
+    return [minrelpath(p) for p in new_paths]
+
+def gpaths(paths, local_path='', include_non_existing=True):
+    """Apply glob to paths and prepend local_path if needed.
+    """
+    if is_string(paths):
+        paths = (paths,)
+    return _fix_paths(paths, local_path, include_non_existing)
+
+def make_temp_file(suffix='', prefix='', text=True):
+    if not hasattr(_tdata, 'tempdir'):
+        _tdata.tempdir = tempfile.mkdtemp()
+        _tmpdirs.append(_tdata.tempdir)
+    fid, name = tempfile.mkstemp(suffix=suffix,
+                                 prefix=prefix,
+                                 dir=_tdata.tempdir,
+                                 text=text)
+    fo = os.fdopen(fid, 'w')
+    return fo, name
+
+# Hooks for colored terminal output.
+# See also https://web.archive.org/web/20100314204946/http://www.livinglogic.de/Python/ansistyle
+def terminal_has_colors():
+    if sys.platform=='cygwin' and 'USE_COLOR' not in os.environ:
+        # Avoid importing curses that causes illegal operation
+        # with a message:
+        #  PYTHON2 caused an invalid page fault in
+        #  module CYGNURSES7.DLL as 015f:18bbfc28
+        # Details: Python 2.3.3 [GCC 3.3.1 (cygming special)]
+        #          ssh to Win32 machine from debian
+        #          curses.version is 2.2
+        #          CYGWIN_98-4.10, release 1.5.7(0.109/3/2))
+        return 0
+    if hasattr(sys.stdout, 'isatty') and sys.stdout.isatty():
+        try:
+            import curses
+            curses.setupterm()
+            if (curses.tigetnum("colors") >= 0
+                and curses.tigetnum("pairs") >= 0
+                and ((curses.tigetstr("setf") is not None
+                      and curses.tigetstr("setb") is not None)
+                     or (curses.tigetstr("setaf") is not None
+                         and curses.tigetstr("setab") is not None)
+                     or curses.tigetstr("scp") is not None)):
+                return 1
+        except Exception:
+            pass
+    return 0
+
+if terminal_has_colors():
+    _colour_codes = dict(black=0, red=1, green=2, yellow=3,
+                         blue=4, magenta=5, cyan=6, white=7, default=9)
+    def colour_text(s, fg=None, bg=None, bold=False):
+        seq = []
+        if bold:
+            seq.append('1')
+        if fg:
+            fgcode = 30 + _colour_codes.get(fg.lower(), 0)
+            seq.append(str(fgcode))
+        if bg:
+            bgcode = 40 + _colour_codes.get(bg.lower(), 7)
+            seq.append(str(bgcode))
+        if seq:
+            return '\x1b[%sm%s\x1b[0m' % (';'.join(seq), s)
+        else:
+            return s
+else:
+    def colour_text(s, fg=None, bg=None):
+        return s
+
+def default_text(s):
+    return colour_text(s, 'default')
+def red_text(s):
+    return colour_text(s, 'red')
+def green_text(s):
+    return colour_text(s, 'green')
+def yellow_text(s):
+    return colour_text(s, 'yellow')
+def cyan_text(s):
+    return colour_text(s, 'cyan')
+def blue_text(s):
+    return colour_text(s, 'blue')
+
+#########################
+
+def cyg2win32(path: str) -> str:
+    """Convert a path from Cygwin-native to Windows-native.
+
+    Uses the cygpath utility (part of the Base install) to do the
+    actual conversion.  Falls back to returning the original path if
+    this fails.
+
+    Handles the default ``/cygdrive`` mount prefix as well as the
+    ``/proc/cygdrive`` portable prefix, custom cygdrive prefixes such
+    as ``/`` or ``/mnt``, and absolute paths such as ``/usr/src/`` or
+    ``/home/username``
+
+    Parameters
+    ----------
+    path : str
+       The path to convert
+
+    Returns
+    -------
+    converted_path : str
+        The converted path
+
+    Notes
+    -----
+    Documentation for cygpath utility:
+    https://cygwin.com/cygwin-ug-net/cygpath.html
+    Documentation for the C function it wraps:
+    https://cygwin.com/cygwin-api/func-cygwin-conv-path.html
+
+    """
+    if sys.platform != "cygwin":
+        return path
+    return subprocess.check_output(
+        ["/usr/bin/cygpath", "--windows", path], text=True
+    )
+
+
+def mingw32():
+    """Return true when using mingw32 environment.
+    """
+    if sys.platform=='win32':
+        if os.environ.get('OSTYPE', '')=='msys':
+            return True
+        if os.environ.get('MSYSTEM', '')=='MINGW32':
+            return True
+    return False
+
+def msvc_runtime_version():
+    "Return version of MSVC runtime library, as defined by __MSC_VER__ macro"
+    msc_pos = sys.version.find('MSC v.')
+    if msc_pos != -1:
+        msc_ver = int(sys.version[msc_pos+6:msc_pos+10])
+    else:
+        msc_ver = None
+    return msc_ver
+
+def msvc_runtime_library():
+    "Return name of MSVC runtime library if Python was built with MSVC >= 7"
+    ver = msvc_runtime_major ()
+    if ver:
+        if ver < 140:
+            return "msvcr%i" % ver
+        else:
+            return "vcruntime%i" % ver
+    else:
+        return None
+
+def msvc_runtime_major():
+    "Return major version of MSVC runtime coded like get_build_msvc_version"
+    major = {1300:  70,  # MSVC 7.0
+             1310:  71,  # MSVC 7.1
+             1400:  80,  # MSVC 8
+             1500:  90,  # MSVC 9  (aka 2008)
+             1600: 100,  # MSVC 10 (aka 2010)
+             1900: 140,  # MSVC 14 (aka 2015)
+    }.get(msvc_runtime_version(), None)
+    return major
+
+#########################
+
+#XXX need support for .C that is also C++
+cxx_ext_match = re.compile(r'.*\.(cpp|cxx|cc)\Z', re.I).match
+fortran_ext_match = re.compile(r'.*\.(f90|f95|f77|for|ftn|f)\Z', re.I).match
+f90_ext_match = re.compile(r'.*\.(f90|f95)\Z', re.I).match
+f90_module_name_match = re.compile(r'\s*module\s*(?P[\w_]+)', re.I).match
+def _get_f90_modules(source):
+    """Return a list of Fortran f90 module names that
+    given source file defines.
+    """
+    if not f90_ext_match(source):
+        return []
+    modules = []
+    with open(source) as f:
+        for line in f:
+            m = f90_module_name_match(line)
+            if m:
+                name = m.group('name')
+                modules.append(name)
+                # break  # XXX can we assume that there is one module per file?
+    return modules
+
+def is_string(s):
+    return isinstance(s, str)
+
+def all_strings(lst):
+    """Return True if all items in lst are string objects. """
+    return all(is_string(item) for item in lst)
+
+def is_sequence(seq):
+    if is_string(seq):
+        return False
+    try:
+        len(seq)
+    except Exception:
+        return False
+    return True
+
+def is_glob_pattern(s):
+    return is_string(s) and ('*' in s or '?' in s)
+
+def as_list(seq):
+    if is_sequence(seq):
+        return list(seq)
+    else:
+        return [seq]
+
+def get_language(sources):
+    # not used in numpy/scipy packages, use build_ext.detect_language instead
+    """Determine language value (c,f77,f90) from sources """
+    language = None
+    for source in sources:
+        if isinstance(source, str):
+            if f90_ext_match(source):
+                language = 'f90'
+                break
+            elif fortran_ext_match(source):
+                language = 'f77'
+    return language
+
+def has_f_sources(sources):
+    """Return True if sources contains Fortran files """
+    return any(fortran_ext_match(source) for source in sources)
+
+def has_cxx_sources(sources):
+    """Return True if sources contains C++ files """
+    return any(cxx_ext_match(source) for source in sources)
+
+def filter_sources(sources):
+    """Return four lists of filenames containing
+    C, C++, Fortran, and Fortran 90 module sources,
+    respectively.
+    """
+    c_sources = []
+    cxx_sources = []
+    f_sources = []
+    fmodule_sources = []
+    for source in sources:
+        if fortran_ext_match(source):
+            modules = _get_f90_modules(source)
+            if modules:
+                fmodule_sources.append(source)
+            else:
+                f_sources.append(source)
+        elif cxx_ext_match(source):
+            cxx_sources.append(source)
+        else:
+            c_sources.append(source)
+    return c_sources, cxx_sources, f_sources, fmodule_sources
+
+
+def _get_headers(directory_list):
+    # get *.h files from list of directories
+    headers = []
+    for d in directory_list:
+        head = sorted_glob(os.path.join(d, "*.h")) #XXX: *.hpp files??
+        headers.extend(head)
+    return headers
+
+def _get_directories(list_of_sources):
+    # get unique directories from list of sources.
+    direcs = []
+    for f in list_of_sources:
+        d = os.path.split(f)
+        if d[0] != '' and not d[0] in direcs:
+            direcs.append(d[0])
+    return direcs
+
+def _commandline_dep_string(cc_args, extra_postargs, pp_opts):
+    """
+    Return commandline representation used to determine if a file needs
+    to be recompiled
+    """
+    cmdline = 'commandline: '
+    cmdline += ' '.join(cc_args)
+    cmdline += ' '.join(extra_postargs)
+    cmdline += ' '.join(pp_opts) + '\n'
+    return cmdline
+
+
+def get_dependencies(sources):
+    #XXX scan sources for include statements
+    return _get_headers(_get_directories(sources))
+
+def is_local_src_dir(directory):
+    """Return true if directory is local directory.
+    """
+    if not is_string(directory):
+        return False
+    abs_dir = os.path.abspath(directory)
+    c = os.path.commonprefix([os.getcwd(), abs_dir])
+    new_dir = abs_dir[len(c):].split(os.sep)
+    if new_dir and not new_dir[0]:
+        new_dir = new_dir[1:]
+    if new_dir and new_dir[0]=='build':
+        return False
+    new_dir = os.sep.join(new_dir)
+    return os.path.isdir(new_dir)
+
+def general_source_files(top_path):
+    pruned_directories = {'CVS':1, '.svn':1, 'build':1}
+    prune_file_pat = re.compile(r'(?:[~#]|\.py[co]|\.o)$')
+    for dirpath, dirnames, filenames in os.walk(top_path, topdown=True):
+        pruned = [ d for d in dirnames if d not in pruned_directories ]
+        dirnames[:] = pruned
+        for f in filenames:
+            if not prune_file_pat.search(f):
+                yield os.path.join(dirpath, f)
+
+def general_source_directories_files(top_path):
+    """Return a directory name relative to top_path and
+    files contained.
+    """
+    pruned_directories = ['CVS', '.svn', 'build']
+    prune_file_pat = re.compile(r'(?:[~#]|\.py[co]|\.o)$')
+    for dirpath, dirnames, filenames in os.walk(top_path, topdown=True):
+        pruned = [ d for d in dirnames if d not in pruned_directories ]
+        dirnames[:] = pruned
+        for d in dirnames:
+            dpath = os.path.join(dirpath, d)
+            rpath = rel_path(dpath, top_path)
+            files = []
+            for f in os.listdir(dpath):
+                fn = os.path.join(dpath, f)
+                if os.path.isfile(fn) and not prune_file_pat.search(fn):
+                    files.append(fn)
+            yield rpath, files
+    dpath = top_path
+    rpath = rel_path(dpath, top_path)
+    filenames = [os.path.join(dpath, f) for f in os.listdir(dpath) \
+                 if not prune_file_pat.search(f)]
+    files = [f for f in filenames if os.path.isfile(f)]
+    yield rpath, files
+
+
+def get_ext_source_files(ext):
+    # Get sources and any include files in the same directory.
+    filenames = []
+    sources = [_m for _m in ext.sources if is_string(_m)]
+    filenames.extend(sources)
+    filenames.extend(get_dependencies(sources))
+    for d in ext.depends:
+        if is_local_src_dir(d):
+            filenames.extend(list(general_source_files(d)))
+        elif os.path.isfile(d):
+            filenames.append(d)
+    return filenames
+
+def get_script_files(scripts):
+    scripts = [_m for _m in scripts if is_string(_m)]
+    return scripts
+
+def get_lib_source_files(lib):
+    filenames = []
+    sources = lib[1].get('sources', [])
+    sources = [_m for _m in sources if is_string(_m)]
+    filenames.extend(sources)
+    filenames.extend(get_dependencies(sources))
+    depends = lib[1].get('depends', [])
+    for d in depends:
+        if is_local_src_dir(d):
+            filenames.extend(list(general_source_files(d)))
+        elif os.path.isfile(d):
+            filenames.append(d)
+    return filenames
+
+def get_shared_lib_extension(is_python_ext=False):
+    """Return the correct file extension for shared libraries.
+
+    Parameters
+    ----------
+    is_python_ext : bool, optional
+        Whether the shared library is a Python extension.  Default is False.
+
+    Returns
+    -------
+    so_ext : str
+        The shared library extension.
+
+    Notes
+    -----
+    For Python shared libs, `so_ext` will typically be '.so' on Linux and OS X,
+    and '.pyd' on Windows.  For Python >= 3.2 `so_ext` has a tag prepended on
+    POSIX systems according to PEP 3149.
+
+    """
+    confvars = distutils.sysconfig.get_config_vars()
+    so_ext = confvars.get('EXT_SUFFIX', '')
+
+    if not is_python_ext:
+        # hardcode known values, config vars (including SHLIB_SUFFIX) are
+        # unreliable (see #3182)
+        # darwin, windows and debug linux are wrong in 3.3.1 and older
+        if (sys.platform.startswith('linux') or
+            sys.platform.startswith('gnukfreebsd')):
+            so_ext = '.so'
+        elif sys.platform.startswith('darwin'):
+            so_ext = '.dylib'
+        elif sys.platform.startswith('win'):
+            so_ext = '.dll'
+        else:
+            # fall back to config vars for unknown platforms
+            # fix long extension for Python >=3.2, see PEP 3149.
+            if 'SOABI' in confvars:
+                # Does nothing unless SOABI config var exists
+                so_ext = so_ext.replace('.' + confvars.get('SOABI'), '', 1)
+
+    return so_ext
+
+def get_data_files(data):
+    if is_string(data):
+        return [data]
+    sources = data[1]
+    filenames = []
+    for s in sources:
+        if hasattr(s, '__call__'):
+            continue
+        if is_local_src_dir(s):
+            filenames.extend(list(general_source_files(s)))
+        elif is_string(s):
+            if os.path.isfile(s):
+                filenames.append(s)
+            else:
+                print('Not existing data file:', s)
+        else:
+            raise TypeError(repr(s))
+    return filenames
+
+def dot_join(*args):
+    return '.'.join([a for a in args if a])
+
+def get_frame(level=0):
+    """Return frame object from call stack with given level.
+    """
+    try:
+        return sys._getframe(level+1)
+    except AttributeError:
+        frame = sys.exc_info()[2].tb_frame
+        for _ in range(level+1):
+            frame = frame.f_back
+        return frame
+
+
+######################
+
+class Configuration:
+
+    _list_keys = ['packages', 'ext_modules', 'data_files', 'include_dirs',
+                  'libraries', 'headers', 'scripts', 'py_modules',
+                  'installed_libraries', 'define_macros']
+    _dict_keys = ['package_dir', 'installed_pkg_config']
+    _extra_keys = ['name', 'version']
+
+    numpy_include_dirs = []
+
+    def __init__(self,
+                 package_name=None,
+                 parent_name=None,
+                 top_path=None,
+                 package_path=None,
+                 caller_level=1,
+                 setup_name='setup.py',
+                 **attrs):
+        """Construct configuration instance of a package.
+
+        package_name -- name of the package
+                        Ex.: 'distutils'
+        parent_name  -- name of the parent package
+                        Ex.: 'numpy'
+        top_path     -- directory of the toplevel package
+                        Ex.: the directory where the numpy package source sits
+        package_path -- directory of package. Will be computed by magic from the
+                        directory of the caller module if not specified
+                        Ex.: the directory where numpy.distutils is
+        caller_level -- frame level to caller namespace, internal parameter.
+        """
+        self.name = dot_join(parent_name, package_name)
+        self.version = None
+
+        caller_frame = get_frame(caller_level)
+        self.local_path = get_path_from_frame(caller_frame, top_path)
+        # local_path -- directory of a file (usually setup.py) that
+        #               defines a configuration() function.
+        # local_path -- directory of a file (usually setup.py) that
+        #               defines a configuration() function.
+        if top_path is None:
+            top_path = self.local_path
+            self.local_path = ''
+        if package_path is None:
+            package_path = self.local_path
+        elif os.path.isdir(njoin(self.local_path, package_path)):
+            package_path = njoin(self.local_path, package_path)
+        if not os.path.isdir(package_path or '.'):
+            raise ValueError("%r is not a directory" % (package_path,))
+        self.top_path = top_path
+        self.package_path = package_path
+        # this is the relative path in the installed package
+        self.path_in_package = os.path.join(*self.name.split('.'))
+
+        self.list_keys = self._list_keys[:]
+        self.dict_keys = self._dict_keys[:]
+
+        for n in self.list_keys:
+            v = copy.copy(attrs.get(n, []))
+            setattr(self, n, as_list(v))
+
+        for n in self.dict_keys:
+            v = copy.copy(attrs.get(n, {}))
+            setattr(self, n, v)
+
+        known_keys = self.list_keys + self.dict_keys
+        self.extra_keys = self._extra_keys[:]
+        for n in attrs.keys():
+            if n in known_keys:
+                continue
+            a = attrs[n]
+            setattr(self, n, a)
+            if isinstance(a, list):
+                self.list_keys.append(n)
+            elif isinstance(a, dict):
+                self.dict_keys.append(n)
+            else:
+                self.extra_keys.append(n)
+
+        if os.path.exists(njoin(package_path, '__init__.py')):
+            self.packages.append(self.name)
+            self.package_dir[self.name] = package_path
+
+        self.options = dict(
+            ignore_setup_xxx_py = False,
+            assume_default_configuration = False,
+            delegate_options_to_subpackages = False,
+            quiet = False,
+            )
+
+        caller_instance = None
+        for i in range(1, 3):
+            try:
+                f = get_frame(i)
+            except ValueError:
+                break
+            try:
+                caller_instance = eval('self', f.f_globals, f.f_locals)
+                break
+            except NameError:
+                pass
+        if isinstance(caller_instance, self.__class__):
+            if caller_instance.options['delegate_options_to_subpackages']:
+                self.set_options(**caller_instance.options)
+
+        self.setup_name = setup_name
+
+    def todict(self):
+        """
+        Return a dictionary compatible with the keyword arguments of distutils
+        setup function.
+
+        Examples
+        --------
+        >>> setup(**config.todict())                           #doctest: +SKIP
+        """
+
+        self._optimize_data_files()
+        d = {}
+        known_keys = self.list_keys + self.dict_keys + self.extra_keys
+        for n in known_keys:
+            a = getattr(self, n)
+            if a:
+                d[n] = a
+        return d
+
+    def info(self, message):
+        if not self.options['quiet']:
+            print(message)
+
+    def warn(self, message):
+        sys.stderr.write('Warning: %s\n' % (message,))
+
+    def set_options(self, **options):
+        """
+        Configure Configuration instance.
+
+        The following options are available:
+         - ignore_setup_xxx_py
+         - assume_default_configuration
+         - delegate_options_to_subpackages
+         - quiet
+
+        """
+        for key, value in options.items():
+            if key in self.options:
+                self.options[key] = value
+            else:
+                raise ValueError('Unknown option: '+key)
+
+    def get_distribution(self):
+        """Return the distutils distribution object for self."""
+        from numpy.distutils.core import get_distribution
+        return get_distribution()
+
+    def _wildcard_get_subpackage(self, subpackage_name,
+                                 parent_name,
+                                 caller_level = 1):
+        l = subpackage_name.split('.')
+        subpackage_path = njoin([self.local_path]+l)
+        dirs = [_m for _m in sorted_glob(subpackage_path) if os.path.isdir(_m)]
+        config_list = []
+        for d in dirs:
+            if not os.path.isfile(njoin(d, '__init__.py')):
+                continue
+            if 'build' in d.split(os.sep):
+                continue
+            n = '.'.join(d.split(os.sep)[-len(l):])
+            c = self.get_subpackage(n,
+                                    parent_name = parent_name,
+                                    caller_level = caller_level+1)
+            config_list.extend(c)
+        return config_list
+
+    def _get_configuration_from_setup_py(self, setup_py,
+                                         subpackage_name,
+                                         subpackage_path,
+                                         parent_name,
+                                         caller_level = 1):
+        # In case setup_py imports local modules:
+        sys.path.insert(0, os.path.dirname(setup_py))
+        try:
+            setup_name = os.path.splitext(os.path.basename(setup_py))[0]
+            n = dot_join(self.name, subpackage_name, setup_name)
+            setup_module = exec_mod_from_location(
+                                '_'.join(n.split('.')), setup_py)
+            if not hasattr(setup_module, 'configuration'):
+                if not self.options['assume_default_configuration']:
+                    self.warn('Assuming default configuration '\
+                              '(%s does not define configuration())'\
+                              % (setup_module))
+                config = Configuration(subpackage_name, parent_name,
+                                       self.top_path, subpackage_path,
+                                       caller_level = caller_level + 1)
+            else:
+                pn = dot_join(*([parent_name] + subpackage_name.split('.')[:-1]))
+                args = (pn,)
+                if setup_module.configuration.__code__.co_argcount > 1:
+                    args = args + (self.top_path,)
+                config = setup_module.configuration(*args)
+            if config.name!=dot_join(parent_name, subpackage_name):
+                self.warn('Subpackage %r configuration returned as %r' % \
+                          (dot_join(parent_name, subpackage_name), config.name))
+        finally:
+            del sys.path[0]
+        return config
+
+    def get_subpackage(self,subpackage_name,
+                       subpackage_path=None,
+                       parent_name=None,
+                       caller_level = 1):
+        """Return list of subpackage configurations.
+
+        Parameters
+        ----------
+        subpackage_name : str or None
+            Name of the subpackage to get the configuration. '*' in
+            subpackage_name is handled as a wildcard.
+        subpackage_path : str
+            If None, then the path is assumed to be the local path plus the
+            subpackage_name. If a setup.py file is not found in the
+            subpackage_path, then a default configuration is used.
+        parent_name : str
+            Parent name.
+        """
+        if subpackage_name is None:
+            if subpackage_path is None:
+                raise ValueError(
+                    "either subpackage_name or subpackage_path must be specified")
+            subpackage_name = os.path.basename(subpackage_path)
+
+        # handle wildcards
+        l = subpackage_name.split('.')
+        if subpackage_path is None and '*' in subpackage_name:
+            return self._wildcard_get_subpackage(subpackage_name,
+                                                 parent_name,
+                                                 caller_level = caller_level+1)
+        assert '*' not in subpackage_name, repr((subpackage_name, subpackage_path, parent_name))
+        if subpackage_path is None:
+            subpackage_path = njoin([self.local_path] + l)
+        else:
+            subpackage_path = njoin([subpackage_path] + l[:-1])
+            subpackage_path = self.paths([subpackage_path])[0]
+        setup_py = njoin(subpackage_path, self.setup_name)
+        if not self.options['ignore_setup_xxx_py']:
+            if not os.path.isfile(setup_py):
+                setup_py = njoin(subpackage_path,
+                                 'setup_%s.py' % (subpackage_name))
+        if not os.path.isfile(setup_py):
+            if not self.options['assume_default_configuration']:
+                self.warn('Assuming default configuration '\
+                          '(%s/{setup_%s,setup}.py was not found)' \
+                          % (os.path.dirname(setup_py), subpackage_name))
+            config = Configuration(subpackage_name, parent_name,
+                                   self.top_path, subpackage_path,
+                                   caller_level = caller_level+1)
+        else:
+            config = self._get_configuration_from_setup_py(
+                setup_py,
+                subpackage_name,
+                subpackage_path,
+                parent_name,
+                caller_level = caller_level + 1)
+        if config:
+            return [config]
+        else:
+            return []
+
+    def add_subpackage(self,subpackage_name,
+                       subpackage_path=None,
+                       standalone = False):
+        """Add a sub-package to the current Configuration instance.
+
+        This is useful in a setup.py script for adding sub-packages to a
+        package.
+
+        Parameters
+        ----------
+        subpackage_name : str
+            name of the subpackage
+        subpackage_path : str
+            if given, the subpackage path such as the subpackage is in
+            subpackage_path / subpackage_name. If None,the subpackage is
+            assumed to be located in the local path / subpackage_name.
+        standalone : bool
+        """
+
+        if standalone:
+            parent_name = None
+        else:
+            parent_name = self.name
+        config_list = self.get_subpackage(subpackage_name, subpackage_path,
+                                          parent_name = parent_name,
+                                          caller_level = 2)
+        if not config_list:
+            self.warn('No configuration returned, assuming unavailable.')
+        for config in config_list:
+            d = config
+            if isinstance(config, Configuration):
+                d = config.todict()
+            assert isinstance(d, dict), repr(type(d))
+
+            self.info('Appending %s configuration to %s' \
+                      % (d.get('name'), self.name))
+            self.dict_append(**d)
+
+        dist = self.get_distribution()
+        if dist is not None:
+            self.warn('distutils distribution has been initialized,'\
+                      ' it may be too late to add a subpackage '+ subpackage_name)
+
+    def add_data_dir(self, data_path):
+        """Recursively add files under data_path to data_files list.
+
+        Recursively add files under data_path to the list of data_files to be
+        installed (and distributed). The data_path can be either a relative
+        path-name, or an absolute path-name, or a 2-tuple where the first
+        argument shows where in the install directory the data directory
+        should be installed to.
+
+        Parameters
+        ----------
+        data_path : seq or str
+            Argument can be either
+
+                * 2-sequence (, )
+                * path to data directory where python datadir suffix defaults
+                  to package dir.
+
+        Notes
+        -----
+        Rules for installation paths::
+
+            foo/bar -> (foo/bar, foo/bar) -> parent/foo/bar
+            (gun, foo/bar) -> parent/gun
+            foo/* -> (foo/a, foo/a), (foo/b, foo/b) -> parent/foo/a, parent/foo/b
+            (gun, foo/*) -> (gun, foo/a), (gun, foo/b) -> gun
+            (gun/*, foo/*) -> parent/gun/a, parent/gun/b
+            /foo/bar -> (bar, /foo/bar) -> parent/bar
+            (gun, /foo/bar) -> parent/gun
+            (fun/*/gun/*, sun/foo/bar) -> parent/fun/foo/gun/bar
+
+        Examples
+        --------
+        For example suppose the source directory contains fun/foo.dat and
+        fun/bar/car.dat:
+
+        >>> self.add_data_dir('fun')                       #doctest: +SKIP
+        >>> self.add_data_dir(('sun', 'fun'))              #doctest: +SKIP
+        >>> self.add_data_dir(('gun', '/full/path/to/fun'))#doctest: +SKIP
+
+        Will install data-files to the locations::
+
+            /
+              fun/
+                foo.dat
+                bar/
+                  car.dat
+              sun/
+                foo.dat
+                bar/
+                  car.dat
+              gun/
+                foo.dat
+                car.dat
+
+        """
+        if is_sequence(data_path):
+            d, data_path = data_path
+        else:
+            d = None
+        if is_sequence(data_path):
+            [self.add_data_dir((d, p)) for p in data_path]
+            return
+        if not is_string(data_path):
+            raise TypeError("not a string: %r" % (data_path,))
+        if d is None:
+            if os.path.isabs(data_path):
+                return self.add_data_dir((os.path.basename(data_path), data_path))
+            return self.add_data_dir((data_path, data_path))
+        paths = self.paths(data_path, include_non_existing=False)
+        if is_glob_pattern(data_path):
+            if is_glob_pattern(d):
+                pattern_list = allpath(d).split(os.sep)
+                pattern_list.reverse()
+                # /a/*//b/ -> /a/*/b
+                rl = list(range(len(pattern_list)-1)); rl.reverse()
+                for i in rl:
+                    if not pattern_list[i]:
+                        del pattern_list[i]
+                #
+                for path in paths:
+                    if not os.path.isdir(path):
+                        print('Not a directory, skipping', path)
+                        continue
+                    rpath = rel_path(path, self.local_path)
+                    path_list = rpath.split(os.sep)
+                    path_list.reverse()
+                    target_list = []
+                    i = 0
+                    for s in pattern_list:
+                        if is_glob_pattern(s):
+                            if i>=len(path_list):
+                                raise ValueError('cannot fill pattern %r with %r' \
+                                      % (d, path))
+                            target_list.append(path_list[i])
+                        else:
+                            assert s==path_list[i], repr((s, path_list[i], data_path, d, path, rpath))
+                            target_list.append(s)
+                        i += 1
+                    if path_list[i:]:
+                        self.warn('mismatch of pattern_list=%s and path_list=%s'\
+                                  % (pattern_list, path_list))
+                    target_list.reverse()
+                    self.add_data_dir((os.sep.join(target_list), path))
+            else:
+                for path in paths:
+                    self.add_data_dir((d, path))
+            return
+        assert not is_glob_pattern(d), repr(d)
+
+        dist = self.get_distribution()
+        if dist is not None and dist.data_files is not None:
+            data_files = dist.data_files
+        else:
+            data_files = self.data_files
+
+        for path in paths:
+            for d1, f in list(general_source_directories_files(path)):
+                target_path = os.path.join(self.path_in_package, d, d1)
+                data_files.append((target_path, f))
+
+    def _optimize_data_files(self):
+        data_dict = {}
+        for p, files in self.data_files:
+            if p not in data_dict:
+                data_dict[p] = set()
+            for f in files:
+                data_dict[p].add(f)
+        self.data_files[:] = [(p, list(files)) for p, files in data_dict.items()]
+
+    def add_data_files(self,*files):
+        """Add data files to configuration data_files.
+
+        Parameters
+        ----------
+        files : sequence
+            Argument(s) can be either
+
+                * 2-sequence (,)
+                * paths to data files where python datadir prefix defaults
+                  to package dir.
+
+        Notes
+        -----
+        The form of each element of the files sequence is very flexible
+        allowing many combinations of where to get the files from the package
+        and where they should ultimately be installed on the system. The most
+        basic usage is for an element of the files argument sequence to be a
+        simple filename. This will cause that file from the local path to be
+        installed to the installation path of the self.name package (package
+        path). The file argument can also be a relative path in which case the
+        entire relative path will be installed into the package directory.
+        Finally, the file can be an absolute path name in which case the file
+        will be found at the absolute path name but installed to the package
+        path.
+
+        This basic behavior can be augmented by passing a 2-tuple in as the
+        file argument. The first element of the tuple should specify the
+        relative path (under the package install directory) where the
+        remaining sequence of files should be installed to (it has nothing to
+        do with the file-names in the source distribution). The second element
+        of the tuple is the sequence of files that should be installed. The
+        files in this sequence can be filenames, relative paths, or absolute
+        paths. For absolute paths the file will be installed in the top-level
+        package installation directory (regardless of the first argument).
+        Filenames and relative path names will be installed in the package
+        install directory under the path name given as the first element of
+        the tuple.
+
+        Rules for installation paths:
+
+          #. file.txt -> (., file.txt)-> parent/file.txt
+          #. foo/file.txt -> (foo, foo/file.txt) -> parent/foo/file.txt
+          #. /foo/bar/file.txt -> (., /foo/bar/file.txt) -> parent/file.txt
+          #. ``*``.txt -> parent/a.txt, parent/b.txt
+          #. foo/``*``.txt`` -> parent/foo/a.txt, parent/foo/b.txt
+          #. ``*/*.txt`` -> (``*``, ``*``/``*``.txt) -> parent/c/a.txt, parent/d/b.txt
+          #. (sun, file.txt) -> parent/sun/file.txt
+          #. (sun, bar/file.txt) -> parent/sun/file.txt
+          #. (sun, /foo/bar/file.txt) -> parent/sun/file.txt
+          #. (sun, ``*``.txt) -> parent/sun/a.txt, parent/sun/b.txt
+          #. (sun, bar/``*``.txt) -> parent/sun/a.txt, parent/sun/b.txt
+          #. (sun/``*``, ``*``/``*``.txt) -> parent/sun/c/a.txt, parent/d/b.txt
+
+        An additional feature is that the path to a data-file can actually be
+        a function that takes no arguments and returns the actual path(s) to
+        the data-files. This is useful when the data files are generated while
+        building the package.
+
+        Examples
+        --------
+        Add files to the list of data_files to be included with the package.
+
+            >>> self.add_data_files('foo.dat',
+            ...     ('fun', ['gun.dat', 'nun/pun.dat', '/tmp/sun.dat']),
+            ...     'bar/cat.dat',
+            ...     '/full/path/to/can.dat')                   #doctest: +SKIP
+
+        will install these data files to::
+
+            /
+             foo.dat
+             fun/
+               gun.dat
+               nun/
+                 pun.dat
+             sun.dat
+             bar/
+               car.dat
+             can.dat
+
+        where  is the package (or sub-package)
+        directory such as '/usr/lib/python2.4/site-packages/mypackage' ('C:
+        \\Python2.4 \\Lib \\site-packages \\mypackage') or
+        '/usr/lib/python2.4/site- packages/mypackage/mysubpackage' ('C:
+        \\Python2.4 \\Lib \\site-packages \\mypackage \\mysubpackage').
+        """
+
+        if len(files)>1:
+            for f in files:
+                self.add_data_files(f)
+            return
+        assert len(files)==1
+        if is_sequence(files[0]):
+            d, files = files[0]
+        else:
+            d = None
+        if is_string(files):
+            filepat = files
+        elif is_sequence(files):
+            if len(files)==1:
+                filepat = files[0]
+            else:
+                for f in files:
+                    self.add_data_files((d, f))
+                return
+        else:
+            raise TypeError(repr(type(files)))
+
+        if d is None:
+            if hasattr(filepat, '__call__'):
+                d = ''
+            elif os.path.isabs(filepat):
+                d = ''
+            else:
+                d = os.path.dirname(filepat)
+            self.add_data_files((d, files))
+            return
+
+        paths = self.paths(filepat, include_non_existing=False)
+        if is_glob_pattern(filepat):
+            if is_glob_pattern(d):
+                pattern_list = d.split(os.sep)
+                pattern_list.reverse()
+                for path in paths:
+                    path_list = path.split(os.sep)
+                    path_list.reverse()
+                    path_list.pop() # filename
+                    target_list = []
+                    i = 0
+                    for s in pattern_list:
+                        if is_glob_pattern(s):
+                            target_list.append(path_list[i])
+                            i += 1
+                        else:
+                            target_list.append(s)
+                    target_list.reverse()
+                    self.add_data_files((os.sep.join(target_list), path))
+            else:
+                self.add_data_files((d, paths))
+            return
+        assert not is_glob_pattern(d), repr((d, filepat))
+
+        dist = self.get_distribution()
+        if dist is not None and dist.data_files is not None:
+            data_files = dist.data_files
+        else:
+            data_files = self.data_files
+
+        data_files.append((os.path.join(self.path_in_package, d), paths))
+
+    ### XXX Implement add_py_modules
+
+    def add_define_macros(self, macros):
+        """Add define macros to configuration
+
+        Add the given sequence of macro name and value duples to the beginning
+        of the define_macros list This list will be visible to all extension
+        modules of the current package.
+        """
+        dist = self.get_distribution()
+        if dist is not None:
+            if not hasattr(dist, 'define_macros'):
+                dist.define_macros = []
+            dist.define_macros.extend(macros)
+        else:
+            self.define_macros.extend(macros)
+
+
+    def add_include_dirs(self,*paths):
+        """Add paths to configuration include directories.
+
+        Add the given sequence of paths to the beginning of the include_dirs
+        list. This list will be visible to all extension modules of the
+        current package.
+        """
+        include_dirs = self.paths(paths)
+        dist = self.get_distribution()
+        if dist is not None:
+            if dist.include_dirs is None:
+                dist.include_dirs = []
+            dist.include_dirs.extend(include_dirs)
+        else:
+            self.include_dirs.extend(include_dirs)
+
+    def add_headers(self,*files):
+        """Add installable headers to configuration.
+
+        Add the given sequence of files to the beginning of the headers list.
+        By default, headers will be installed under // directory. If an item of files
+        is a tuple, then its first argument specifies the actual installation
+        location relative to the  path.
+
+        Parameters
+        ----------
+        files : str or seq
+            Argument(s) can be either:
+
+                * 2-sequence (,)
+                * path(s) to header file(s) where python includedir suffix will
+                  default to package name.
+        """
+        headers = []
+        for path in files:
+            if is_string(path):
+                [headers.append((self.name, p)) for p in self.paths(path)]
+            else:
+                if not isinstance(path, (tuple, list)) or len(path) != 2:
+                    raise TypeError(repr(path))
+                [headers.append((path[0], p)) for p in self.paths(path[1])]
+        dist = self.get_distribution()
+        if dist is not None:
+            if dist.headers is None:
+                dist.headers = []
+            dist.headers.extend(headers)
+        else:
+            self.headers.extend(headers)
+
+    def paths(self,*paths,**kws):
+        """Apply glob to paths and prepend local_path if needed.
+
+        Applies glob.glob(...) to each path in the sequence (if needed) and
+        prepends the local_path if needed. Because this is called on all
+        source lists, this allows wildcard characters to be specified in lists
+        of sources for extension modules and libraries and scripts and allows
+        path-names be relative to the source directory.
+
+        """
+        include_non_existing = kws.get('include_non_existing', True)
+        return gpaths(paths,
+                      local_path = self.local_path,
+                      include_non_existing=include_non_existing)
+
+    def _fix_paths_dict(self, kw):
+        for k in kw.keys():
+            v = kw[k]
+            if k in ['sources', 'depends', 'include_dirs', 'library_dirs',
+                     'module_dirs', 'extra_objects']:
+                new_v = self.paths(v)
+                kw[k] = new_v
+
+    def add_extension(self,name,sources,**kw):
+        """Add extension to configuration.
+
+        Create and add an Extension instance to the ext_modules list. This
+        method also takes the following optional keyword arguments that are
+        passed on to the Extension constructor.
+
+        Parameters
+        ----------
+        name : str
+            name of the extension
+        sources : seq
+            list of the sources. The list of sources may contain functions
+            (called source generators) which must take an extension instance
+            and a build directory as inputs and return a source file or list of
+            source files or None. If None is returned then no sources are
+            generated. If the Extension instance has no sources after
+            processing all source generators, then no extension module is
+            built.
+        include_dirs :
+        define_macros :
+        undef_macros :
+        library_dirs :
+        libraries :
+        runtime_library_dirs :
+        extra_objects :
+        extra_compile_args :
+        extra_link_args :
+        extra_f77_compile_args :
+        extra_f90_compile_args :
+        export_symbols :
+        swig_opts :
+        depends :
+            The depends list contains paths to files or directories that the
+            sources of the extension module depend on. If any path in the
+            depends list is newer than the extension module, then the module
+            will be rebuilt.
+        language :
+        f2py_options :
+        module_dirs :
+        extra_info : dict or list
+            dict or list of dict of keywords to be appended to keywords.
+
+        Notes
+        -----
+        The self.paths(...) method is applied to all lists that may contain
+        paths.
+        """
+        ext_args = copy.copy(kw)
+        ext_args['name'] = dot_join(self.name, name)
+        ext_args['sources'] = sources
+
+        if 'extra_info' in ext_args:
+            extra_info = ext_args['extra_info']
+            del ext_args['extra_info']
+            if isinstance(extra_info, dict):
+                extra_info = [extra_info]
+            for info in extra_info:
+                assert isinstance(info, dict), repr(info)
+                dict_append(ext_args,**info)
+
+        self._fix_paths_dict(ext_args)
+
+        # Resolve out-of-tree dependencies
+        libraries = ext_args.get('libraries', [])
+        libnames = []
+        ext_args['libraries'] = []
+        for libname in libraries:
+            if isinstance(libname, tuple):
+                self._fix_paths_dict(libname[1])
+
+            # Handle library names of the form libname@relative/path/to/library
+            if '@' in libname:
+                lname, lpath = libname.split('@', 1)
+                lpath = os.path.abspath(njoin(self.local_path, lpath))
+                if os.path.isdir(lpath):
+                    c = self.get_subpackage(None, lpath,
+                                            caller_level = 2)
+                    if isinstance(c, Configuration):
+                        c = c.todict()
+                    for l in [l[0] for l in c.get('libraries', [])]:
+                        llname = l.split('__OF__', 1)[0]
+                        if llname == lname:
+                            c.pop('name', None)
+                            dict_append(ext_args,**c)
+                            break
+                    continue
+            libnames.append(libname)
+
+        ext_args['libraries'] = libnames + ext_args['libraries']
+        ext_args['define_macros'] = \
+            self.define_macros + ext_args.get('define_macros', [])
+
+        from numpy.distutils.core import Extension
+        ext = Extension(**ext_args)
+        self.ext_modules.append(ext)
+
+        dist = self.get_distribution()
+        if dist is not None:
+            self.warn('distutils distribution has been initialized,'\
+                      ' it may be too late to add an extension '+name)
+        return ext
+
+    def add_library(self,name,sources,**build_info):
+        """
+        Add library to configuration.
+
+        Parameters
+        ----------
+        name : str
+            Name of the extension.
+        sources : sequence
+            List of the sources. The list of sources may contain functions
+            (called source generators) which must take an extension instance
+            and a build directory as inputs and return a source file or list of
+            source files or None. If None is returned then no sources are
+            generated. If the Extension instance has no sources after
+            processing all source generators, then no extension module is
+            built.
+        build_info : dict, optional
+            The following keys are allowed:
+
+                * depends
+                * macros
+                * include_dirs
+                * extra_compiler_args
+                * extra_f77_compile_args
+                * extra_f90_compile_args
+                * f2py_options
+                * language
+
+        """
+        self._add_library(name, sources, None, build_info)
+
+        dist = self.get_distribution()
+        if dist is not None:
+            self.warn('distutils distribution has been initialized,'\
+                      ' it may be too late to add a library '+ name)
+
+    def _add_library(self, name, sources, install_dir, build_info):
+        """Common implementation for add_library and add_installed_library. Do
+        not use directly"""
+        build_info = copy.copy(build_info)
+        build_info['sources'] = sources
+
+        # Sometimes, depends is not set up to an empty list by default, and if
+        # depends is not given to add_library, distutils barfs (#1134)
+        if not 'depends' in build_info:
+            build_info['depends'] = []
+
+        self._fix_paths_dict(build_info)
+
+        # Add to libraries list so that it is build with build_clib
+        self.libraries.append((name, build_info))
+
+    def add_installed_library(self, name, sources, install_dir, build_info=None):
+        """
+        Similar to add_library, but the specified library is installed.
+
+        Most C libraries used with ``distutils`` are only used to build python
+        extensions, but libraries built through this method will be installed
+        so that they can be reused by third-party packages.
+
+        Parameters
+        ----------
+        name : str
+            Name of the installed library.
+        sources : sequence
+            List of the library's source files. See `add_library` for details.
+        install_dir : str
+            Path to install the library, relative to the current sub-package.
+        build_info : dict, optional
+            The following keys are allowed:
+
+                * depends
+                * macros
+                * include_dirs
+                * extra_compiler_args
+                * extra_f77_compile_args
+                * extra_f90_compile_args
+                * f2py_options
+                * language
+
+        Returns
+        -------
+        None
+
+        See Also
+        --------
+        add_library, add_npy_pkg_config, get_info
+
+        Notes
+        -----
+        The best way to encode the options required to link against the specified
+        C libraries is to use a "libname.ini" file, and use `get_info` to
+        retrieve the required options (see `add_npy_pkg_config` for more
+        information).
+
+        """
+        if not build_info:
+            build_info = {}
+
+        install_dir = os.path.join(self.package_path, install_dir)
+        self._add_library(name, sources, install_dir, build_info)
+        self.installed_libraries.append(InstallableLib(name, build_info, install_dir))
+
+    def add_npy_pkg_config(self, template, install_dir, subst_dict=None):
+        """
+        Generate and install a npy-pkg config file from a template.
+
+        The config file generated from `template` is installed in the
+        given install directory, using `subst_dict` for variable substitution.
+
+        Parameters
+        ----------
+        template : str
+            The path of the template, relatively to the current package path.
+        install_dir : str
+            Where to install the npy-pkg config file, relatively to the current
+            package path.
+        subst_dict : dict, optional
+            If given, any string of the form ``@key@`` will be replaced by
+            ``subst_dict[key]`` in the template file when installed. The install
+            prefix is always available through the variable ``@prefix@``, since the
+            install prefix is not easy to get reliably from setup.py.
+
+        See also
+        --------
+        add_installed_library, get_info
+
+        Notes
+        -----
+        This works for both standard installs and in-place builds, i.e. the
+        ``@prefix@`` refer to the source directory for in-place builds.
+
+        Examples
+        --------
+        ::
+
+            config.add_npy_pkg_config('foo.ini.in', 'lib', {'foo': bar})
+
+        Assuming the foo.ini.in file has the following content::
+
+            [meta]
+            Name=@foo@
+            Version=1.0
+            Description=dummy description
+
+            [default]
+            Cflags=-I@prefix@/include
+            Libs=
+
+        The generated file will have the following content::
+
+            [meta]
+            Name=bar
+            Version=1.0
+            Description=dummy description
+
+            [default]
+            Cflags=-Iprefix_dir/include
+            Libs=
+
+        and will be installed as foo.ini in the 'lib' subpath.
+
+        When cross-compiling with numpy distutils, it might be necessary to
+        use modified npy-pkg-config files.  Using the default/generated files
+        will link with the host libraries (i.e. libnpymath.a).  For
+        cross-compilation you of-course need to link with target libraries,
+        while using the host Python installation.
+
+        You can copy out the numpy/_core/lib/npy-pkg-config directory, add a
+        pkgdir value to the .ini files and set NPY_PKG_CONFIG_PATH environment
+        variable to point to the directory with the modified npy-pkg-config
+        files.
+
+        Example npymath.ini modified for cross-compilation::
+
+            [meta]
+            Name=npymath
+            Description=Portable, core math library implementing C99 standard
+            Version=0.1
+
+            [variables]
+            pkgname=numpy._core
+            pkgdir=/build/arm-linux-gnueabi/sysroot/usr/lib/python3.7/site-packages/numpy/_core
+            prefix=${pkgdir}
+            libdir=${prefix}/lib
+            includedir=${prefix}/include
+
+            [default]
+            Libs=-L${libdir} -lnpymath
+            Cflags=-I${includedir}
+            Requires=mlib
+
+            [msvc]
+            Libs=/LIBPATH:${libdir} npymath.lib
+            Cflags=/INCLUDE:${includedir}
+            Requires=mlib
+
+        """
+        if subst_dict is None:
+            subst_dict = {}
+        template = os.path.join(self.package_path, template)
+
+        if self.name in self.installed_pkg_config:
+            self.installed_pkg_config[self.name].append((template, install_dir,
+                subst_dict))
+        else:
+            self.installed_pkg_config[self.name] = [(template, install_dir,
+                subst_dict)]
+
+
+    def add_scripts(self,*files):
+        """Add scripts to configuration.
+
+        Add the sequence of files to the beginning of the scripts list.
+        Scripts will be installed under the /bin/ directory.
+
+        """
+        scripts = self.paths(files)
+        dist = self.get_distribution()
+        if dist is not None:
+            if dist.scripts is None:
+                dist.scripts = []
+            dist.scripts.extend(scripts)
+        else:
+            self.scripts.extend(scripts)
+
+    def dict_append(self,**dict):
+        for key in self.list_keys:
+            a = getattr(self, key)
+            a.extend(dict.get(key, []))
+        for key in self.dict_keys:
+            a = getattr(self, key)
+            a.update(dict.get(key, {}))
+        known_keys = self.list_keys + self.dict_keys + self.extra_keys
+        for key in dict.keys():
+            if key not in known_keys:
+                a = getattr(self, key, None)
+                if a and a==dict[key]: continue
+                self.warn('Inheriting attribute %r=%r from %r' \
+                          % (key, dict[key], dict.get('name', '?')))
+                setattr(self, key, dict[key])
+                self.extra_keys.append(key)
+            elif key in self.extra_keys:
+                self.info('Ignoring attempt to set %r (from %r to %r)' \
+                          % (key, getattr(self, key), dict[key]))
+            elif key in known_keys:
+                # key is already processed above
+                pass
+            else:
+                raise ValueError("Don't know about key=%r" % (key))
+
+    def __str__(self):
+        from pprint import pformat
+        known_keys = self.list_keys + self.dict_keys + self.extra_keys
+        s = '<'+5*'-' + '\n'
+        s += 'Configuration of '+self.name+':\n'
+        known_keys.sort()
+        for k in known_keys:
+            a = getattr(self, k, None)
+            if a:
+                s += '%s = %s\n' % (k, pformat(a))
+        s += 5*'-' + '>'
+        return s
+
+    def get_config_cmd(self):
+        """
+        Returns the numpy.distutils config command instance.
+        """
+        cmd = get_cmd('config')
+        cmd.ensure_finalized()
+        cmd.dump_source = 0
+        cmd.noisy = 0
+        old_path = os.environ.get('PATH')
+        if old_path:
+            path = os.pathsep.join(['.', old_path])
+            os.environ['PATH'] = path
+        return cmd
+
+    def get_build_temp_dir(self):
+        """
+        Return a path to a temporary directory where temporary files should be
+        placed.
+        """
+        cmd = get_cmd('build')
+        cmd.ensure_finalized()
+        return cmd.build_temp
+
+    def have_f77c(self):
+        """Check for availability of Fortran 77 compiler.
+
+        Use it inside source generating function to ensure that
+        setup distribution instance has been initialized.
+
+        Notes
+        -----
+        True if a Fortran 77 compiler is available (because a simple Fortran 77
+        code was able to be compiled successfully).
+        """
+        simple_fortran_subroutine = '''
+        subroutine simple
+        end
+        '''
+        config_cmd = self.get_config_cmd()
+        flag = config_cmd.try_compile(simple_fortran_subroutine, lang='f77')
+        return flag
+
+    def have_f90c(self):
+        """Check for availability of Fortran 90 compiler.
+
+        Use it inside source generating function to ensure that
+        setup distribution instance has been initialized.
+
+        Notes
+        -----
+        True if a Fortran 90 compiler is available (because a simple Fortran
+        90 code was able to be compiled successfully)
+        """
+        simple_fortran_subroutine = '''
+        subroutine simple
+        end
+        '''
+        config_cmd = self.get_config_cmd()
+        flag = config_cmd.try_compile(simple_fortran_subroutine, lang='f90')
+        return flag
+
+    def append_to(self, extlib):
+        """Append libraries, include_dirs to extension or library item.
+        """
+        if is_sequence(extlib):
+            lib_name, build_info = extlib
+            dict_append(build_info,
+                        libraries=self.libraries,
+                        include_dirs=self.include_dirs)
+        else:
+            from numpy.distutils.core import Extension
+            assert isinstance(extlib, Extension), repr(extlib)
+            extlib.libraries.extend(self.libraries)
+            extlib.include_dirs.extend(self.include_dirs)
+
+    def _get_svn_revision(self, path):
+        """Return path's SVN revision number.
+        """
+        try:
+            output = subprocess.check_output(['svnversion'], cwd=path)
+        except (subprocess.CalledProcessError, OSError):
+            pass
+        else:
+            m = re.match(rb'(?P\d+)', output)
+            if m:
+                return int(m.group('revision'))
+
+        if sys.platform=='win32' and os.environ.get('SVN_ASP_DOT_NET_HACK', None):
+            entries = njoin(path, '_svn', 'entries')
+        else:
+            entries = njoin(path, '.svn', 'entries')
+        if os.path.isfile(entries):
+            with open(entries) as f:
+                fstr = f.read()
+            if fstr[:5] == '\d+)"', fstr)
+                if m:
+                    return int(m.group('revision'))
+            else:  # non-xml entries file --- check to be sure that
+                m = re.search(r'dir[\n\r]+(?P\d+)', fstr)
+                if m:
+                    return int(m.group('revision'))
+        return None
+
+    def _get_hg_revision(self, path):
+        """Return path's Mercurial revision number.
+        """
+        try:
+            output = subprocess.check_output(
+                ['hg', 'identify', '--num'], cwd=path)
+        except (subprocess.CalledProcessError, OSError):
+            pass
+        else:
+            m = re.match(rb'(?P\d+)', output)
+            if m:
+                return int(m.group('revision'))
+
+        branch_fn = njoin(path, '.hg', 'branch')
+        branch_cache_fn = njoin(path, '.hg', 'branch.cache')
+
+        if os.path.isfile(branch_fn):
+            branch0 = None
+            with open(branch_fn) as f:
+                revision0 = f.read().strip()
+
+            branch_map = {}
+            with open(branch_cache_fn) as f:
+                for line in f:
+                    branch1, revision1  = line.split()[:2]
+                    if revision1==revision0:
+                        branch0 = branch1
+                    try:
+                        revision1 = int(revision1)
+                    except ValueError:
+                        continue
+                    branch_map[branch1] = revision1
+
+            return branch_map.get(branch0)
+
+        return None
+
+
+    def get_version(self, version_file=None, version_variable=None):
+        """Try to get version string of a package.
+
+        Return a version string of the current package or None if the version
+        information could not be detected.
+
+        Notes
+        -----
+        This method scans files named
+        __version__.py, _version.py, version.py, and
+        __svn_version__.py for string variables version, __version__, and
+        _version, until a version number is found.
+        """
+        version = getattr(self, 'version', None)
+        if version is not None:
+            return version
+
+        # Get version from version file.
+        if version_file is None:
+            files = ['__version__.py',
+                     self.name.split('.')[-1]+'_version.py',
+                     'version.py',
+                     '__svn_version__.py',
+                     '__hg_version__.py']
+        else:
+            files = [version_file]
+        if version_variable is None:
+            version_vars = ['version',
+                            '__version__',
+                            self.name.split('.')[-1]+'_version']
+        else:
+            version_vars = [version_variable]
+        for f in files:
+            fn = njoin(self.local_path, f)
+            if os.path.isfile(fn):
+                info = ('.py', 'U', 1)
+                name = os.path.splitext(os.path.basename(fn))[0]
+                n = dot_join(self.name, name)
+                try:
+                    version_module = exec_mod_from_location(
+                                        '_'.join(n.split('.')), fn)
+                except ImportError as e:
+                    self.warn(str(e))
+                    version_module = None
+                if version_module is None:
+                    continue
+
+                for a in version_vars:
+                    version = getattr(version_module, a, None)
+                    if version is not None:
+                        break
+
+                # Try if versioneer module
+                try:
+                    version = version_module.get_versions()['version']
+                except AttributeError:
+                    pass
+
+                if version is not None:
+                    break
+
+        if version is not None:
+            self.version = version
+            return version
+
+        # Get version as SVN or Mercurial revision number
+        revision = self._get_svn_revision(self.local_path)
+        if revision is None:
+            revision = self._get_hg_revision(self.local_path)
+
+        if revision is not None:
+            version = str(revision)
+            self.version = version
+
+        return version
+
+    def make_svn_version_py(self, delete=True):
+        """Appends a data function to the data_files list that will generate
+        __svn_version__.py file to the current package directory.
+
+        Generate package __svn_version__.py file from SVN revision number,
+        it will be removed after python exits but will be available
+        when sdist, etc commands are executed.
+
+        Notes
+        -----
+        If __svn_version__.py existed before, nothing is done.
+
+        This is
+        intended for working with source directories that are in an SVN
+        repository.
+        """
+        target = njoin(self.local_path, '__svn_version__.py')
+        revision = self._get_svn_revision(self.local_path)
+        if os.path.isfile(target) or revision is None:
+            return
+        else:
+            def generate_svn_version_py():
+                if not os.path.isfile(target):
+                    version = str(revision)
+                    self.info('Creating %s (version=%r)' % (target, version))
+                    with open(target, 'w') as f:
+                        f.write('version = %r\n' % (version))
+
+                def rm_file(f=target,p=self.info):
+                    if delete:
+                        try: os.remove(f); p('removed '+f)
+                        except OSError: pass
+                        try: os.remove(f+'c'); p('removed '+f+'c')
+                        except OSError: pass
+
+                atexit.register(rm_file)
+
+                return target
+
+            self.add_data_files(('', generate_svn_version_py()))
+
+    def make_hg_version_py(self, delete=True):
+        """Appends a data function to the data_files list that will generate
+        __hg_version__.py file to the current package directory.
+
+        Generate package __hg_version__.py file from Mercurial revision,
+        it will be removed after python exits but will be available
+        when sdist, etc commands are executed.
+
+        Notes
+        -----
+        If __hg_version__.py existed before, nothing is done.
+
+        This is intended for working with source directories that are
+        in an Mercurial repository.
+        """
+        target = njoin(self.local_path, '__hg_version__.py')
+        revision = self._get_hg_revision(self.local_path)
+        if os.path.isfile(target) or revision is None:
+            return
+        else:
+            def generate_hg_version_py():
+                if not os.path.isfile(target):
+                    version = str(revision)
+                    self.info('Creating %s (version=%r)' % (target, version))
+                    with open(target, 'w') as f:
+                        f.write('version = %r\n' % (version))
+
+                def rm_file(f=target,p=self.info):
+                    if delete:
+                        try: os.remove(f); p('removed '+f)
+                        except OSError: pass
+                        try: os.remove(f+'c'); p('removed '+f+'c')
+                        except OSError: pass
+
+                atexit.register(rm_file)
+
+                return target
+
+            self.add_data_files(('', generate_hg_version_py()))
+
+    def make_config_py(self,name='__config__'):
+        """Generate package __config__.py file containing system_info
+        information used during building the package.
+
+        This file is installed to the
+        package installation directory.
+
+        """
+        self.py_modules.append((self.name, name, generate_config_py))
+
+    def get_info(self,*names):
+        """Get resources information.
+
+        Return information (from system_info.get_info) for all of the names in
+        the argument list in a single dictionary.
+        """
+        from .system_info import get_info, dict_append
+        info_dict = {}
+        for a in names:
+            dict_append(info_dict,**get_info(a))
+        return info_dict
+
+
+def get_cmd(cmdname, _cache={}):
+    if cmdname not in _cache:
+        import distutils.core
+        dist = distutils.core._setup_distribution
+        if dist is None:
+            from distutils.errors import DistutilsInternalError
+            raise DistutilsInternalError(
+                  'setup distribution instance not initialized')
+        cmd = dist.get_command_obj(cmdname)
+        _cache[cmdname] = cmd
+    return _cache[cmdname]
+
+def get_numpy_include_dirs():
+    # numpy_include_dirs are set by numpy/_core/setup.py, otherwise []
+    include_dirs = Configuration.numpy_include_dirs[:]
+    if not include_dirs:
+        import numpy
+        include_dirs = [ numpy.get_include() ]
+    # else running numpy/_core/setup.py
+    return include_dirs
+
+def get_npy_pkg_dir():
+    """Return the path where to find the npy-pkg-config directory.
+
+    If the NPY_PKG_CONFIG_PATH environment variable is set, the value of that
+    is returned.  Otherwise, a path inside the location of the numpy module is
+    returned.
+
+    The NPY_PKG_CONFIG_PATH can be useful when cross-compiling, maintaining
+    customized npy-pkg-config .ini files for the cross-compilation
+    environment, and using them when cross-compiling.
+
+    """
+    d = os.environ.get('NPY_PKG_CONFIG_PATH')
+    if d is not None:
+        return d
+    spec = importlib.util.find_spec('numpy')
+    d = os.path.join(os.path.dirname(spec.origin),
+            '_core', 'lib', 'npy-pkg-config')
+    return d
+
+def get_pkg_info(pkgname, dirs=None):
+    """
+    Return library info for the given package.
+
+    Parameters
+    ----------
+    pkgname : str
+        Name of the package (should match the name of the .ini file, without
+        the extension, e.g. foo for the file foo.ini).
+    dirs : sequence, optional
+        If given, should be a sequence of additional directories where to look
+        for npy-pkg-config files. Those directories are searched prior to the
+        NumPy directory.
+
+    Returns
+    -------
+    pkginfo : class instance
+        The `LibraryInfo` instance containing the build information.
+
+    Raises
+    ------
+    PkgNotFound
+        If the package is not found.
+
+    See Also
+    --------
+    Configuration.add_npy_pkg_config, Configuration.add_installed_library,
+    get_info
+
+    """
+    from numpy.distutils.npy_pkg_config import read_config
+
+    if dirs:
+        dirs.append(get_npy_pkg_dir())
+    else:
+        dirs = [get_npy_pkg_dir()]
+    return read_config(pkgname, dirs)
+
+def get_info(pkgname, dirs=None):
+    """
+    Return an info dict for a given C library.
+
+    The info dict contains the necessary options to use the C library.
+
+    Parameters
+    ----------
+    pkgname : str
+        Name of the package (should match the name of the .ini file, without
+        the extension, e.g. foo for the file foo.ini).
+    dirs : sequence, optional
+        If given, should be a sequence of additional directories where to look
+        for npy-pkg-config files. Those directories are searched prior to the
+        NumPy directory.
+
+    Returns
+    -------
+    info : dict
+        The dictionary with build information.
+
+    Raises
+    ------
+    PkgNotFound
+        If the package is not found.
+
+    See Also
+    --------
+    Configuration.add_npy_pkg_config, Configuration.add_installed_library,
+    get_pkg_info
+
+    Examples
+    --------
+    To get the necessary information for the npymath library from NumPy:
+
+    >>> npymath_info = np.distutils.misc_util.get_info('npymath')
+    >>> npymath_info                                    #doctest: +SKIP
+    {'define_macros': [], 'libraries': ['npymath'], 'library_dirs':
+    ['.../numpy/_core/lib'], 'include_dirs': ['.../numpy/_core/include']}
+
+    This info dict can then be used as input to a `Configuration` instance::
+
+      config.add_extension('foo', sources=['foo.c'], extra_info=npymath_info)
+
+    """
+    from numpy.distutils.npy_pkg_config import parse_flags
+    pkg_info = get_pkg_info(pkgname, dirs)
+
+    # Translate LibraryInfo instance into a build_info dict
+    info = parse_flags(pkg_info.cflags())
+    for k, v in parse_flags(pkg_info.libs()).items():
+        info[k].extend(v)
+
+    # add_extension extra_info argument is ANAL
+    info['define_macros'] = info['macros']
+    del info['macros']
+    del info['ignored']
+
+    return info
+
+def is_bootstrapping():
+    import builtins
+
+    try:
+        builtins.__NUMPY_SETUP__
+        return True
+    except AttributeError:
+        return False
+
+
+#########################
+
+def default_config_dict(name = None, parent_name = None, local_path=None):
+    """Return a configuration dictionary for usage in
+    configuration() function defined in file setup_.py.
+    """
+    import warnings
+    warnings.warn('Use Configuration(%r,%r,top_path=%r) instead of '\
+                  'deprecated default_config_dict(%r,%r,%r)'
+                  % (name, parent_name, local_path,
+                     name, parent_name, local_path,
+                     ), stacklevel=2)
+    c = Configuration(name, parent_name, local_path)
+    return c.todict()
+
+
+def dict_append(d, **kws):
+    for k, v in kws.items():
+        if k in d:
+            ov = d[k]
+            if isinstance(ov, str):
+                d[k] = v
+            else:
+                d[k].extend(v)
+        else:
+            d[k] = v
+
+def appendpath(prefix, path):
+    if os.path.sep != '/':
+        prefix = prefix.replace('/', os.path.sep)
+        path = path.replace('/', os.path.sep)
+    drive = ''
+    if os.path.isabs(path):
+        drive = os.path.splitdrive(prefix)[0]
+        absprefix = os.path.splitdrive(os.path.abspath(prefix))[1]
+        pathdrive, path = os.path.splitdrive(path)
+        d = os.path.commonprefix([absprefix, path])
+        if os.path.join(absprefix[:len(d)], absprefix[len(d):]) != absprefix \
+           or os.path.join(path[:len(d)], path[len(d):]) != path:
+            # Handle invalid paths
+            d = os.path.dirname(d)
+        subpath = path[len(d):]
+        if os.path.isabs(subpath):
+            subpath = subpath[1:]
+    else:
+        subpath = path
+    return os.path.normpath(njoin(drive + prefix, subpath))
+
+def generate_config_py(target):
+    """Generate config.py file containing system_info information
+    used during building the package.
+
+    Usage:
+        config['py_modules'].append((packagename, '__config__',generate_config_py))
+    """
+    from numpy.distutils.system_info import system_info
+    from distutils.dir_util import mkpath
+    mkpath(os.path.dirname(target))
+    with open(target, 'w') as f:
+        f.write('# This file is generated by numpy\'s %s\n' % (os.path.basename(sys.argv[0])))
+        f.write('# It contains system_info results at the time of building this package.\n')
+        f.write('__all__ = ["get_info","show"]\n\n')
+
+        # For gfortran+msvc combination, extra shared libraries may exist
+        f.write(textwrap.dedent("""
+            import os
+            import sys
+
+            extra_dll_dir = os.path.join(os.path.dirname(__file__), '.libs')
+
+            if sys.platform == 'win32' and os.path.isdir(extra_dll_dir):
+                os.add_dll_directory(extra_dll_dir)
+
+            """))
+
+        for k, i in system_info.saved_results.items():
+            f.write('%s=%r\n' % (k, i))
+        f.write(textwrap.dedent(r'''
+            def get_info(name):
+                g = globals()
+                return g.get(name, g.get(name + "_info", {}))
+
+            def show():
+                """
+                Show libraries in the system on which NumPy was built.
+
+                Print information about various resources (libraries, library
+                directories, include directories, etc.) in the system on which
+                NumPy was built.
+
+                See Also
+                --------
+                get_include : Returns the directory containing NumPy C
+                              header files.
+
+                Notes
+                -----
+                1. Classes specifying the information to be printed are defined
+                   in the `numpy.distutils.system_info` module.
+
+                   Information may include:
+
+                   * ``language``: language used to write the libraries (mostly
+                     C or f77)
+                   * ``libraries``: names of libraries found in the system
+                   * ``library_dirs``: directories containing the libraries
+                   * ``include_dirs``: directories containing library header files
+                   * ``src_dirs``: directories containing library source files
+                   * ``define_macros``: preprocessor macros used by
+                     ``distutils.setup``
+                   * ``baseline``: minimum CPU features required
+                   * ``found``: dispatched features supported in the system
+                   * ``not found``: dispatched features that are not supported
+                     in the system
+
+                2. NumPy BLAS/LAPACK Installation Notes
+
+                   Installing a numpy wheel (``pip install numpy`` or force it
+                   via ``pip install numpy --only-binary :numpy: numpy``) includes
+                   an OpenBLAS implementation of the BLAS and LAPACK linear algebra
+                   APIs. In this case, ``library_dirs`` reports the original build
+                   time configuration as compiled with gcc/gfortran; at run time
+                   the OpenBLAS library is in
+                   ``site-packages/numpy.libs/`` (linux), or
+                   ``site-packages/numpy/.dylibs/`` (macOS), or
+                   ``site-packages/numpy/.libs/`` (windows).
+
+                   Installing numpy from source
+                   (``pip install numpy --no-binary numpy``) searches for BLAS and
+                   LAPACK dynamic link libraries at build time as influenced by
+                   environment variables NPY_BLAS_LIBS, NPY_CBLAS_LIBS, and
+                   NPY_LAPACK_LIBS; or NPY_BLAS_ORDER and NPY_LAPACK_ORDER;
+                   or the optional file ``~/.numpy-site.cfg``.
+                   NumPy remembers those locations and expects to load the same
+                   libraries at run-time.
+                   In NumPy 1.21+ on macOS, 'accelerate' (Apple's Accelerate BLAS
+                   library) is in the default build-time search order after
+                   'openblas'.
+
+                Examples
+                --------
+                >>> import numpy as np
+                >>> np.show_config()
+                blas_opt_info:
+                    language = c
+                    define_macros = [('HAVE_CBLAS', None)]
+                    libraries = ['openblas', 'openblas']
+                    library_dirs = ['/usr/local/lib']
+                """
+                from numpy._core._multiarray_umath import (
+                    __cpu_features__, __cpu_baseline__, __cpu_dispatch__
+                )
+                for name,info_dict in globals().items():
+                    if name[0] == "_" or type(info_dict) is not type({}): continue
+                    print(name + ":")
+                    if not info_dict:
+                        print("  NOT AVAILABLE")
+                    for k,v in info_dict.items():
+                        v = str(v)
+                        if k == "sources" and len(v) > 200:
+                            v = v[:60] + " ...\n... " + v[-60:]
+                        print("    %s = %s" % (k,v))
+
+                features_found, features_not_found = [], []
+                for feature in __cpu_dispatch__:
+                    if __cpu_features__[feature]:
+                        features_found.append(feature)
+                    else:
+                        features_not_found.append(feature)
+
+                print("Supported SIMD extensions in this NumPy install:")
+                print("    baseline = %s" % (','.join(__cpu_baseline__)))
+                print("    found = %s" % (','.join(features_found)))
+                print("    not found = %s" % (','.join(features_not_found)))
+
+                    '''))
+
+    return target
+
+def msvc_version(compiler):
+    """Return version major and minor of compiler instance if it is
+    MSVC, raise an exception otherwise."""
+    if not compiler.compiler_type == "msvc":
+        raise ValueError("Compiler instance is not msvc (%s)"\
+                         % compiler.compiler_type)
+    return compiler._MSVCCompiler__version
+
+def get_build_architecture():
+    # Importing distutils.msvccompiler triggers a warning on non-Windows
+    # systems, so delay the import to here.
+    from distutils.msvccompiler import get_build_architecture
+    return get_build_architecture()
+
+
+_cxx_ignore_flags = {'-Werror=implicit-function-declaration', '-std=c99'}
+
+
+def sanitize_cxx_flags(cxxflags):
+    '''
+    Some flags are valid for C but not C++. Prune them.
+    '''
+    return [flag for flag in cxxflags if flag not in _cxx_ignore_flags]
+
+
+def exec_mod_from_location(modname, modfile):
+    '''
+    Use importlib machinery to import a module `modname` from the file
+    `modfile`. Depending on the `spec.loader`, the module may not be
+    registered in sys.modules.
+    '''
+    spec = importlib.util.spec_from_file_location(modname, modfile)
+    foo = importlib.util.module_from_spec(spec)
+    spec.loader.exec_module(foo)
+    return foo
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/msvc9compiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/msvc9compiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..68239495d6c72b70257e51d7ec3ddb35611940a2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/msvc9compiler.py
@@ -0,0 +1,63 @@
+import os
+from distutils.msvc9compiler import MSVCCompiler as _MSVCCompiler
+
+from .system_info import platform_bits
+
+
+def _merge(old, new):
+    """Concatenate two environment paths avoiding repeats.
+
+    Here `old` is the environment string before the base class initialize
+    function is called and `new` is the string after the call. The new string
+    will be a fixed string if it is not obtained from the current environment,
+    or the same as the old string if obtained from the same environment. The aim
+    here is not to append the new string if it is already contained in the old
+    string so as to limit the growth of the environment string.
+
+    Parameters
+    ----------
+    old : string
+        Previous environment string.
+    new : string
+        New environment string.
+
+    Returns
+    -------
+    ret : string
+        Updated environment string.
+
+    """
+    if not old:
+        return new
+    if new in old:
+        return old
+
+    # Neither new nor old is empty. Give old priority.
+    return ';'.join([old, new])
+
+
+class MSVCCompiler(_MSVCCompiler):
+    def __init__(self, verbose=0, dry_run=0, force=0):
+        _MSVCCompiler.__init__(self, verbose, dry_run, force)
+
+    def initialize(self, plat_name=None):
+        # The 'lib' and 'include' variables may be overwritten
+        # by MSVCCompiler.initialize, so save them for later merge.
+        environ_lib = os.getenv('lib')
+        environ_include = os.getenv('include')
+        _MSVCCompiler.initialize(self, plat_name)
+
+        # Merge current and previous values of 'lib' and 'include'
+        os.environ['lib'] = _merge(environ_lib, os.environ['lib'])
+        os.environ['include'] = _merge(environ_include, os.environ['include'])
+
+        # msvc9 building for 32 bits requires SSE2 to work around a
+        # compiler bug.
+        if platform_bits == 32:
+            self.compile_options += ['/arch:SSE2']
+            self.compile_options_debug += ['/arch:SSE2']
+
+    def manifest_setup_ldargs(self, output_filename, build_temp, ld_args):
+        ld_args.append('/MANIFEST')
+        _MSVCCompiler.manifest_setup_ldargs(self, output_filename,
+                                            build_temp, ld_args)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/msvccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/msvccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..2b93221baac8b122a1cca97278db3748159b780b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/msvccompiler.py
@@ -0,0 +1,76 @@
+import os
+from distutils.msvccompiler import MSVCCompiler as _MSVCCompiler
+
+from .system_info import platform_bits
+
+
+def _merge(old, new):
+    """Concatenate two environment paths avoiding repeats.
+
+    Here `old` is the environment string before the base class initialize
+    function is called and `new` is the string after the call. The new string
+    will be a fixed string if it is not obtained from the current environment,
+    or the same as the old string if obtained from the same environment. The aim
+    here is not to append the new string if it is already contained in the old
+    string so as to limit the growth of the environment string.
+
+    Parameters
+    ----------
+    old : string
+        Previous environment string.
+    new : string
+        New environment string.
+
+    Returns
+    -------
+    ret : string
+        Updated environment string.
+
+    """
+    if new in old:
+        return old
+    if not old:
+        return new
+
+    # Neither new nor old is empty. Give old priority.
+    return ';'.join([old, new])
+
+
+class MSVCCompiler(_MSVCCompiler):
+    def __init__(self, verbose=0, dry_run=0, force=0):
+        _MSVCCompiler.__init__(self, verbose, dry_run, force)
+
+    def initialize(self):
+        # The 'lib' and 'include' variables may be overwritten
+        # by MSVCCompiler.initialize, so save them for later merge.
+        environ_lib = os.getenv('lib', '')
+        environ_include = os.getenv('include', '')
+        _MSVCCompiler.initialize(self)
+
+        # Merge current and previous values of 'lib' and 'include'
+        os.environ['lib'] = _merge(environ_lib, os.environ['lib'])
+        os.environ['include'] = _merge(environ_include, os.environ['include'])
+
+        # msvc9 building for 32 bits requires SSE2 to work around a
+        # compiler bug.
+        if platform_bits == 32:
+            self.compile_options += ['/arch:SSE2']
+            self.compile_options_debug += ['/arch:SSE2']
+
+
+def lib_opts_if_msvc(build_cmd):
+    """ Add flags if we are using MSVC compiler
+
+    We can't see `build_cmd` in our scope, because we have not initialized
+    the distutils build command, so use this deferred calculation to run
+    when we are building the library.
+    """
+    if build_cmd.compiler.compiler_type != 'msvc':
+        return []
+    # Explicitly disable whole-program optimization.
+    flags = ['/GL-']
+    # Disable voltbl section for vc142 to allow link using mingw-w64; see:
+    # https://github.com/matthew-brett/dll_investigation/issues/1#issuecomment-1100468171
+    if build_cmd.compiler_opt.cc_test_flags(['-d2VolatileMetadata-']):
+        flags.append('-d2VolatileMetadata-')
+    return flags
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/npy_pkg_config.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/npy_pkg_config.py
new file mode 100644
index 0000000000000000000000000000000000000000..14e8791b14cda2c0b63bd1f468777fa31c4c7cc9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/npy_pkg_config.py
@@ -0,0 +1,441 @@
+import sys
+import re
+import os
+
+from configparser import RawConfigParser
+
+__all__ = ['FormatError', 'PkgNotFound', 'LibraryInfo', 'VariableSet',
+        'read_config', 'parse_flags']
+
+_VAR = re.compile(r'\$\{([a-zA-Z0-9_-]+)\}')
+
+class FormatError(OSError):
+    """
+    Exception thrown when there is a problem parsing a configuration file.
+
+    """
+    def __init__(self, msg):
+        self.msg = msg
+
+    def __str__(self):
+        return self.msg
+
+class PkgNotFound(OSError):
+    """Exception raised when a package can not be located."""
+    def __init__(self, msg):
+        self.msg = msg
+
+    def __str__(self):
+        return self.msg
+
+def parse_flags(line):
+    """
+    Parse a line from a config file containing compile flags.
+
+    Parameters
+    ----------
+    line : str
+        A single line containing one or more compile flags.
+
+    Returns
+    -------
+    d : dict
+        Dictionary of parsed flags, split into relevant categories.
+        These categories are the keys of `d`:
+
+        * 'include_dirs'
+        * 'library_dirs'
+        * 'libraries'
+        * 'macros'
+        * 'ignored'
+
+    """
+    d = {'include_dirs': [], 'library_dirs': [], 'libraries': [],
+         'macros': [], 'ignored': []}
+
+    flags = (' ' + line).split(' -')
+    for flag in flags:
+        flag = '-' + flag
+        if len(flag) > 0:
+            if flag.startswith('-I'):
+                d['include_dirs'].append(flag[2:].strip())
+            elif flag.startswith('-L'):
+                d['library_dirs'].append(flag[2:].strip())
+            elif flag.startswith('-l'):
+                d['libraries'].append(flag[2:].strip())
+            elif flag.startswith('-D'):
+                d['macros'].append(flag[2:].strip())
+            else:
+                d['ignored'].append(flag)
+
+    return d
+
+def _escape_backslash(val):
+    return val.replace('\\', '\\\\')
+
+class LibraryInfo:
+    """
+    Object containing build information about a library.
+
+    Parameters
+    ----------
+    name : str
+        The library name.
+    description : str
+        Description of the library.
+    version : str
+        Version string.
+    sections : dict
+        The sections of the configuration file for the library. The keys are
+        the section headers, the values the text under each header.
+    vars : class instance
+        A `VariableSet` instance, which contains ``(name, value)`` pairs for
+        variables defined in the configuration file for the library.
+    requires : sequence, optional
+        The required libraries for the library to be installed.
+
+    Notes
+    -----
+    All input parameters (except "sections" which is a method) are available as
+    attributes of the same name.
+
+    """
+    def __init__(self, name, description, version, sections, vars, requires=None):
+        self.name = name
+        self.description = description
+        if requires:
+            self.requires = requires
+        else:
+            self.requires = []
+        self.version = version
+        self._sections = sections
+        self.vars = vars
+
+    def sections(self):
+        """
+        Return the section headers of the config file.
+
+        Parameters
+        ----------
+        None
+
+        Returns
+        -------
+        keys : list of str
+            The list of section headers.
+
+        """
+        return list(self._sections.keys())
+
+    def cflags(self, section="default"):
+        val = self.vars.interpolate(self._sections[section]['cflags'])
+        return _escape_backslash(val)
+
+    def libs(self, section="default"):
+        val = self.vars.interpolate(self._sections[section]['libs'])
+        return _escape_backslash(val)
+
+    def __str__(self):
+        m = ['Name: %s' % self.name, 'Description: %s' % self.description]
+        if self.requires:
+            m.append('Requires:')
+        else:
+            m.append('Requires: %s' % ",".join(self.requires))
+        m.append('Version: %s' % self.version)
+
+        return "\n".join(m)
+
+class VariableSet:
+    """
+    Container object for the variables defined in a config file.
+
+    `VariableSet` can be used as a plain dictionary, with the variable names
+    as keys.
+
+    Parameters
+    ----------
+    d : dict
+        Dict of items in the "variables" section of the configuration file.
+
+    """
+    def __init__(self, d):
+        self._raw_data = dict([(k, v) for k, v in d.items()])
+
+        self._re = {}
+        self._re_sub = {}
+
+        self._init_parse()
+
+    def _init_parse(self):
+        for k, v in self._raw_data.items():
+            self._init_parse_var(k, v)
+
+    def _init_parse_var(self, name, value):
+        self._re[name] = re.compile(r'\$\{%s\}' % name)
+        self._re_sub[name] = value
+
+    def interpolate(self, value):
+        # Brute force: we keep interpolating until there is no '${var}' anymore
+        # or until interpolated string is equal to input string
+        def _interpolate(value):
+            for k in self._re.keys():
+                value = self._re[k].sub(self._re_sub[k], value)
+            return value
+        while _VAR.search(value):
+            nvalue = _interpolate(value)
+            if nvalue == value:
+                break
+            value = nvalue
+
+        return value
+
+    def variables(self):
+        """
+        Return the list of variable names.
+
+        Parameters
+        ----------
+        None
+
+        Returns
+        -------
+        names : list of str
+            The names of all variables in the `VariableSet` instance.
+
+        """
+        return list(self._raw_data.keys())
+
+    # Emulate a dict to set/get variables values
+    def __getitem__(self, name):
+        return self._raw_data[name]
+
+    def __setitem__(self, name, value):
+        self._raw_data[name] = value
+        self._init_parse_var(name, value)
+
+def parse_meta(config):
+    if not config.has_section('meta'):
+        raise FormatError("No meta section found !")
+
+    d = dict(config.items('meta'))
+
+    for k in ['name', 'description', 'version']:
+        if not k in d:
+            raise FormatError("Option %s (section [meta]) is mandatory, "
+                "but not found" % k)
+
+    if not 'requires' in d:
+        d['requires'] = []
+
+    return d
+
+def parse_variables(config):
+    if not config.has_section('variables'):
+        raise FormatError("No variables section found !")
+
+    d = {}
+
+    for name, value in config.items("variables"):
+        d[name] = value
+
+    return VariableSet(d)
+
+def parse_sections(config):
+    return meta_d, r
+
+def pkg_to_filename(pkg_name):
+    return "%s.ini" % pkg_name
+
+def parse_config(filename, dirs=None):
+    if dirs:
+        filenames = [os.path.join(d, filename) for d in dirs]
+    else:
+        filenames = [filename]
+
+    config = RawConfigParser()
+
+    n = config.read(filenames)
+    if not len(n) >= 1:
+        raise PkgNotFound("Could not find file(s) %s" % str(filenames))
+
+    # Parse meta and variables sections
+    meta = parse_meta(config)
+
+    vars = {}
+    if config.has_section('variables'):
+        for name, value in config.items("variables"):
+            vars[name] = _escape_backslash(value)
+
+    # Parse "normal" sections
+    secs = [s for s in config.sections() if not s in ['meta', 'variables']]
+    sections = {}
+
+    requires = {}
+    for s in secs:
+        d = {}
+        if config.has_option(s, "requires"):
+            requires[s] = config.get(s, 'requires')
+
+        for name, value in config.items(s):
+            d[name] = value
+        sections[s] = d
+
+    return meta, vars, sections, requires
+
+def _read_config_imp(filenames, dirs=None):
+    def _read_config(f):
+        meta, vars, sections, reqs = parse_config(f, dirs)
+        # recursively add sections and variables of required libraries
+        for rname, rvalue in reqs.items():
+            nmeta, nvars, nsections, nreqs = _read_config(pkg_to_filename(rvalue))
+
+            # Update var dict for variables not in 'top' config file
+            for k, v in nvars.items():
+                if not k in vars:
+                    vars[k] = v
+
+            # Update sec dict
+            for oname, ovalue in nsections[rname].items():
+                if ovalue:
+                    sections[rname][oname] += ' %s' % ovalue
+
+        return meta, vars, sections, reqs
+
+    meta, vars, sections, reqs = _read_config(filenames)
+
+    # FIXME: document this. If pkgname is defined in the variables section, and
+    # there is no pkgdir variable defined, pkgdir is automatically defined to
+    # the path of pkgname. This requires the package to be imported to work
+    if not 'pkgdir' in vars and "pkgname" in vars:
+        pkgname = vars["pkgname"]
+        if not pkgname in sys.modules:
+            raise ValueError("You should import %s to get information on %s" %
+                             (pkgname, meta["name"]))
+
+        mod = sys.modules[pkgname]
+        vars["pkgdir"] = _escape_backslash(os.path.dirname(mod.__file__))
+
+    return LibraryInfo(name=meta["name"], description=meta["description"],
+            version=meta["version"], sections=sections, vars=VariableSet(vars))
+
+# Trivial cache to cache LibraryInfo instances creation. To be really
+# efficient, the cache should be handled in read_config, since a same file can
+# be parsed many time outside LibraryInfo creation, but I doubt this will be a
+# problem in practice
+_CACHE = {}
+def read_config(pkgname, dirs=None):
+    """
+    Return library info for a package from its configuration file.
+
+    Parameters
+    ----------
+    pkgname : str
+        Name of the package (should match the name of the .ini file, without
+        the extension, e.g. foo for the file foo.ini).
+    dirs : sequence, optional
+        If given, should be a sequence of directories - usually including
+        the NumPy base directory - where to look for npy-pkg-config files.
+
+    Returns
+    -------
+    pkginfo : class instance
+        The `LibraryInfo` instance containing the build information.
+
+    Raises
+    ------
+    PkgNotFound
+        If the package is not found.
+
+    See Also
+    --------
+    misc_util.get_info, misc_util.get_pkg_info
+
+    Examples
+    --------
+    >>> npymath_info = np.distutils.npy_pkg_config.read_config('npymath')
+    >>> type(npymath_info)
+    
+    >>> print(npymath_info)
+    Name: npymath
+    Description: Portable, core math library implementing C99 standard
+    Requires:
+    Version: 0.1  #random
+
+    """
+    try:
+        return _CACHE[pkgname]
+    except KeyError:
+        v = _read_config_imp(pkg_to_filename(pkgname), dirs)
+        _CACHE[pkgname] = v
+        return v
+
+# TODO:
+#   - implements version comparison (modversion + atleast)
+
+# pkg-config simple emulator - useful for debugging, and maybe later to query
+# the system
+if __name__ == '__main__':
+    from optparse import OptionParser
+    import glob
+
+    parser = OptionParser()
+    parser.add_option("--cflags", dest="cflags", action="store_true",
+                      help="output all preprocessor and compiler flags")
+    parser.add_option("--libs", dest="libs", action="store_true",
+                      help="output all linker flags")
+    parser.add_option("--use-section", dest="section",
+                      help="use this section instead of default for options")
+    parser.add_option("--version", dest="version", action="store_true",
+                      help="output version")
+    parser.add_option("--atleast-version", dest="min_version",
+                      help="Minimal version")
+    parser.add_option("--list-all", dest="list_all", action="store_true",
+                      help="Minimal version")
+    parser.add_option("--define-variable", dest="define_variable",
+                      help="Replace variable with the given value")
+
+    (options, args) = parser.parse_args(sys.argv)
+
+    if len(args) < 2:
+        raise ValueError("Expect package name on the command line:")
+
+    if options.list_all:
+        files = glob.glob("*.ini")
+        for f in files:
+            info = read_config(f)
+            print("%s\t%s - %s" % (info.name, info.name, info.description))
+
+    pkg_name = args[1]
+    d = os.environ.get('NPY_PKG_CONFIG_PATH')
+    if d:
+        info = read_config(
+            pkg_name, ['numpy/_core/lib/npy-pkg-config', '.', d]
+        )
+    else:
+        info = read_config(
+            pkg_name, ['numpy/_core/lib/npy-pkg-config', '.']
+        )
+
+    if options.section:
+        section = options.section
+    else:
+        section = "default"
+
+    if options.define_variable:
+        m = re.search(r'([\S]+)=([\S]+)', options.define_variable)
+        if not m:
+            raise ValueError("--define-variable option should be of "
+                             "the form --define-variable=foo=bar")
+        else:
+            name = m.group(1)
+            value = m.group(2)
+        info.vars[name] = value
+
+    if options.cflags:
+        print(info.cflags(section))
+    if options.libs:
+        print(info.libs(section))
+    if options.version:
+        print(info.version)
+    if options.min_version:
+        print(info.version >= options.min_version)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/numpy_distribution.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/numpy_distribution.py
new file mode 100644
index 0000000000000000000000000000000000000000..ea8182659cb1af718879de305798b62c23bf3346
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/numpy_distribution.py
@@ -0,0 +1,17 @@
+# XXX: Handle setuptools ?
+from distutils.core import Distribution
+
+# This class is used because we add new files (sconscripts, and so on) with the
+# scons command
+class NumpyDistribution(Distribution):
+    def __init__(self, attrs = None):
+        # A list of (sconscripts, pre_hook, post_hook, src, parent_names)
+        self.scons_data = []
+        # A list of installable libraries
+        self.installed_libraries = []
+        # A dict of pkg_config files to generate/install
+        self.installed_pkg_config = {}
+        Distribution.__init__(self, attrs)
+
+    def has_scons_scripts(self):
+        return bool(self.scons_data)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/pathccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/pathccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..48051810ee218fb037cc15ccec05293e5ae9bb6b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/pathccompiler.py
@@ -0,0 +1,21 @@
+from distutils.unixccompiler import UnixCCompiler
+
+class PathScaleCCompiler(UnixCCompiler):
+
+    """
+    PathScale compiler compatible with an gcc built Python.
+    """
+
+    compiler_type = 'pathcc'
+    cc_exe = 'pathcc'
+    cxx_exe = 'pathCC'
+
+    def __init__ (self, verbose=0, dry_run=0, force=0):
+        UnixCCompiler.__init__ (self, verbose, dry_run, force)
+        cc_compiler = self.cc_exe
+        cxx_compiler = self.cxx_exe
+        self.set_executables(compiler=cc_compiler,
+                             compiler_so=cc_compiler,
+                             compiler_cxx=cxx_compiler,
+                             linker_exe=cc_compiler,
+                             linker_so=cc_compiler + ' -shared')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/system_info.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/system_info.py
new file mode 100644
index 0000000000000000000000000000000000000000..64785481b6172dd3a1fed151516557fb6a512744
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/system_info.py
@@ -0,0 +1,3267 @@
+"""
+This file defines a set of system_info classes for getting
+information about various resources (libraries, library directories,
+include directories, etc.) in the system. Usage:
+    info_dict = get_info()
+  where  is a string 'atlas','x11','fftw','lapack','blas',
+  'lapack_src', 'blas_src', etc. For a complete list of allowed names,
+  see the definition of get_info() function below.
+
+  Returned info_dict is a dictionary which is compatible with
+  distutils.setup keyword arguments. If info_dict == {}, then the
+  asked resource is not available (system_info could not find it).
+
+  Several *_info classes specify an environment variable to specify
+  the locations of software. When setting the corresponding environment
+  variable to 'None' then the software will be ignored, even when it
+  is available in system.
+
+Global parameters:
+  system_info.search_static_first - search static libraries (.a)
+             in precedence to shared ones (.so, .sl) if enabled.
+  system_info.verbosity - output the results to stdout if enabled.
+
+The file 'site.cfg' is looked for in
+
+1) Directory of main setup.py file being run.
+2) Home directory of user running the setup.py file as ~/.numpy-site.cfg
+3) System wide directory (location of this file...)
+
+The first one found is used to get system configuration options The
+format is that used by ConfigParser (i.e., Windows .INI style). The
+section ALL is not intended for general use.
+
+Appropriate defaults are used if nothing is specified.
+
+The order of finding the locations of resources is the following:
+ 1. environment variable
+ 2. section in site.cfg
+ 3. DEFAULT section in site.cfg
+ 4. System default search paths (see ``default_*`` variables below).
+Only the first complete match is returned.
+
+Currently, the following classes are available, along with their section names:
+
+    Numeric_info:Numeric
+    _numpy_info:Numeric
+    _pkg_config_info:None
+    accelerate_info:accelerate
+    accelerate_lapack_info:accelerate
+    agg2_info:agg2
+    amd_info:amd
+    atlas_3_10_blas_info:atlas
+    atlas_3_10_blas_threads_info:atlas
+    atlas_3_10_info:atlas
+    atlas_3_10_threads_info:atlas
+    atlas_blas_info:atlas
+    atlas_blas_threads_info:atlas
+    atlas_info:atlas
+    atlas_threads_info:atlas
+    blas64__opt_info:ALL               # usage recommended (general ILP64 BLAS, 64_ symbol suffix)
+    blas_ilp64_opt_info:ALL            # usage recommended (general ILP64 BLAS)
+    blas_ilp64_plain_opt_info:ALL      # usage recommended (general ILP64 BLAS, no symbol suffix)
+    blas_info:blas
+    blas_mkl_info:mkl
+    blas_ssl2_info:ssl2
+    blas_opt_info:ALL                  # usage recommended
+    blas_src_info:blas_src
+    blis_info:blis
+    boost_python_info:boost_python
+    dfftw_info:fftw
+    dfftw_threads_info:fftw
+    djbfft_info:djbfft
+    f2py_info:ALL
+    fft_opt_info:ALL
+    fftw2_info:fftw
+    fftw3_info:fftw3
+    fftw_info:fftw
+    fftw_threads_info:fftw
+    flame_info:flame
+    freetype2_info:freetype2
+    gdk_2_info:gdk_2
+    gdk_info:gdk
+    gdk_pixbuf_2_info:gdk_pixbuf_2
+    gdk_pixbuf_xlib_2_info:gdk_pixbuf_xlib_2
+    gdk_x11_2_info:gdk_x11_2
+    gtkp_2_info:gtkp_2
+    gtkp_x11_2_info:gtkp_x11_2
+    lapack64__opt_info:ALL             # usage recommended (general ILP64 LAPACK, 64_ symbol suffix)
+    lapack_atlas_3_10_info:atlas
+    lapack_atlas_3_10_threads_info:atlas
+    lapack_atlas_info:atlas
+    lapack_atlas_threads_info:atlas
+    lapack_ilp64_opt_info:ALL          # usage recommended (general ILP64 LAPACK)
+    lapack_ilp64_plain_opt_info:ALL    # usage recommended (general ILP64 LAPACK, no symbol suffix)
+    lapack_info:lapack
+    lapack_mkl_info:mkl
+    lapack_ssl2_info:ssl2
+    lapack_opt_info:ALL                # usage recommended
+    lapack_src_info:lapack_src
+    mkl_info:mkl
+    ssl2_info:ssl2
+    numarray_info:numarray
+    numerix_info:numerix
+    numpy_info:numpy
+    openblas64__info:openblas64_
+    openblas64__lapack_info:openblas64_
+    openblas_clapack_info:openblas
+    openblas_ilp64_info:openblas_ilp64
+    openblas_ilp64_lapack_info:openblas_ilp64
+    openblas_info:openblas
+    openblas_lapack_info:openblas
+    sfftw_info:fftw
+    sfftw_threads_info:fftw
+    system_info:ALL
+    umfpack_info:umfpack
+    wx_info:wx
+    x11_info:x11
+    xft_info:xft
+
+Note that blas_opt_info and lapack_opt_info honor the NPY_BLAS_ORDER
+and NPY_LAPACK_ORDER environment variables to determine the order in which
+specific BLAS and LAPACK libraries are searched for.
+
+This search (or autodetection) can be bypassed by defining the environment
+variables NPY_BLAS_LIBS and NPY_LAPACK_LIBS, which should then contain the
+exact linker flags to use (language will be set to F77). Building against
+Netlib BLAS/LAPACK or stub files, in order to be able to switch BLAS and LAPACK
+implementations at runtime. If using this to build NumPy itself, it is
+recommended to also define NPY_CBLAS_LIBS (assuming your BLAS library has a
+CBLAS interface) to enable CBLAS usage for matrix multiplication (unoptimized
+otherwise).
+
+Example:
+----------
+[DEFAULT]
+# default section
+library_dirs = /usr/lib:/usr/local/lib:/opt/lib
+include_dirs = /usr/include:/usr/local/include:/opt/include
+src_dirs = /usr/local/src:/opt/src
+# search static libraries (.a) in preference to shared ones (.so)
+search_static_first = 0
+
+[fftw]
+libraries = rfftw, fftw
+
+[atlas]
+library_dirs = /usr/lib/3dnow:/usr/lib/3dnow/atlas
+# for overriding the names of the atlas libraries
+libraries = lapack, f77blas, cblas, atlas
+
+[x11]
+library_dirs = /usr/X11R6/lib
+include_dirs = /usr/X11R6/include
+----------
+
+Note that the ``libraries`` key is the default setting for libraries.
+
+Authors:
+  Pearu Peterson , February 2002
+  David M. Cooke , April 2002
+
+Copyright 2002 Pearu Peterson all rights reserved,
+Pearu Peterson 
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy (BSD style) license.  See LICENSE.txt that came with
+this distribution for specifics.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+
+"""
+import sys
+import os
+import re
+import copy
+import warnings
+import subprocess
+import textwrap
+
+from glob import glob
+from functools import reduce
+from configparser import NoOptionError
+from configparser import RawConfigParser as ConfigParser
+# It seems that some people are importing ConfigParser from here so is
+# good to keep its class name. Use of RawConfigParser is needed in
+# order to be able to load path names with percent in them, like
+# `feature%2Fcool` which is common on git flow branch names.
+
+from distutils.errors import DistutilsError
+from distutils.dist import Distribution
+import sysconfig
+from numpy.distutils import log
+from distutils.util import get_platform
+
+from numpy.distutils.exec_command import (
+    find_executable, filepath_from_subprocess_output,
+    )
+from numpy.distutils.misc_util import (is_sequence, is_string,
+                                       get_shared_lib_extension)
+from numpy.distutils.command.config import config as cmd_config
+from numpy.distutils import customized_ccompiler as _customized_ccompiler
+from numpy.distutils import _shell_utils
+import distutils.ccompiler
+import tempfile
+import shutil
+
+__all__ = ['system_info']
+
+# Determine number of bits
+import platform
+_bits = {'32bit': 32, '64bit': 64}
+platform_bits = _bits[platform.architecture()[0]]
+
+
+global_compiler = None
+
+def customized_ccompiler():
+    global global_compiler
+    if not global_compiler:
+        global_compiler = _customized_ccompiler()
+    return global_compiler
+
+
+def _c_string_literal(s):
+    """
+    Convert a python string into a literal suitable for inclusion into C code
+    """
+    # only these three characters are forbidden in C strings
+    s = s.replace('\\', r'\\')
+    s = s.replace('"',  r'\"')
+    s = s.replace('\n', r'\n')
+    return '"{}"'.format(s)
+
+
+def libpaths(paths, bits):
+    """Return a list of library paths valid on 32 or 64 bit systems.
+
+    Inputs:
+      paths : sequence
+        A sequence of strings (typically paths)
+      bits : int
+        An integer, the only valid values are 32 or 64.  A ValueError exception
+      is raised otherwise.
+
+    Examples:
+
+    Consider a list of directories
+    >>> paths = ['/usr/X11R6/lib','/usr/X11/lib','/usr/lib']
+
+    For a 32-bit platform, this is already valid:
+    >>> np.distutils.system_info.libpaths(paths,32)
+    ['/usr/X11R6/lib', '/usr/X11/lib', '/usr/lib']
+
+    On 64 bits, we prepend the '64' postfix
+    >>> np.distutils.system_info.libpaths(paths,64)
+    ['/usr/X11R6/lib64', '/usr/X11R6/lib', '/usr/X11/lib64', '/usr/X11/lib',
+    '/usr/lib64', '/usr/lib']
+    """
+    if bits not in (32, 64):
+        raise ValueError("Invalid bit size in libpaths: 32 or 64 only")
+
+    # Handle 32bit case
+    if bits == 32:
+        return paths
+
+    # Handle 64bit case
+    out = []
+    for p in paths:
+        out.extend([p + '64', p])
+
+    return out
+
+
+if sys.platform == 'win32':
+    default_lib_dirs = ['C:\\',
+                        os.path.join(sysconfig.get_config_var('exec_prefix'),
+                                     'libs')]
+    default_runtime_dirs = []
+    default_include_dirs = []
+    default_src_dirs = ['.']
+    default_x11_lib_dirs = []
+    default_x11_include_dirs = []
+    _include_dirs = [
+        'include',
+        'include/suitesparse',
+    ]
+    _lib_dirs = [
+        'lib',
+    ]
+
+    _include_dirs = [d.replace('/', os.sep) for d in _include_dirs]
+    _lib_dirs = [d.replace('/', os.sep) for d in _lib_dirs]
+    def add_system_root(library_root):
+        """Add a package manager root to the include directories"""
+        global default_lib_dirs
+        global default_include_dirs
+
+        library_root = os.path.normpath(library_root)
+
+        default_lib_dirs.extend(
+            os.path.join(library_root, d) for d in _lib_dirs)
+        default_include_dirs.extend(
+            os.path.join(library_root, d) for d in _include_dirs)
+
+    # VCpkg is the de-facto package manager on windows for C/C++
+    # libraries. If it is on the PATH, then we append its paths here.
+    vcpkg = shutil.which('vcpkg')
+    if vcpkg:
+        vcpkg_dir = os.path.dirname(vcpkg)
+        if platform.architecture()[0] == '32bit':
+            specifier = 'x86'
+        else:
+            specifier = 'x64'
+
+        vcpkg_installed = os.path.join(vcpkg_dir, 'installed')
+        for vcpkg_root in [
+            os.path.join(vcpkg_installed, specifier + '-windows'),
+            os.path.join(vcpkg_installed, specifier + '-windows-static'),
+        ]:
+            add_system_root(vcpkg_root)
+
+    # Conda is another popular package manager that provides libraries
+    conda = shutil.which('conda')
+    if conda:
+        conda_dir = os.path.dirname(conda)
+        add_system_root(os.path.join(conda_dir, '..', 'Library'))
+        add_system_root(os.path.join(conda_dir, 'Library'))
+
+else:
+    default_lib_dirs = libpaths(['/usr/local/lib', '/opt/lib', '/usr/lib',
+                                 '/opt/local/lib', '/sw/lib'], platform_bits)
+    default_runtime_dirs = []
+    default_include_dirs = ['/usr/local/include',
+                            '/opt/include',
+                            # path of umfpack under macports
+                            '/opt/local/include/ufsparse',
+                            '/opt/local/include', '/sw/include',
+                            '/usr/include/suitesparse']
+    default_src_dirs = ['.', '/usr/local/src', '/opt/src', '/sw/src']
+
+    default_x11_lib_dirs = libpaths(['/usr/X11R6/lib', '/usr/X11/lib',
+                                     '/usr/lib'], platform_bits)
+    default_x11_include_dirs = ['/usr/X11R6/include', '/usr/X11/include']
+
+    if os.path.exists('/usr/lib/X11'):
+        globbed_x11_dir = glob('/usr/lib/*/libX11.so')
+        if globbed_x11_dir:
+            x11_so_dir = os.path.split(globbed_x11_dir[0])[0]
+            default_x11_lib_dirs.extend([x11_so_dir, '/usr/lib/X11'])
+            default_x11_include_dirs.extend(['/usr/lib/X11/include',
+                                             '/usr/include/X11'])
+
+    with open(os.devnull, 'w') as tmp:
+        try:
+            p = subprocess.Popen(["gcc", "-print-multiarch"], stdout=subprocess.PIPE,
+                         stderr=tmp)
+        except (OSError, DistutilsError):
+            # OSError if gcc is not installed, or SandboxViolation (DistutilsError
+            # subclass) if an old setuptools bug is triggered (see gh-3160).
+            pass
+        else:
+            triplet = str(p.communicate()[0].decode().strip())
+            if p.returncode == 0:
+                # gcc supports the "-print-multiarch" option
+                default_x11_lib_dirs += [os.path.join("/usr/lib/", triplet)]
+                default_lib_dirs += [os.path.join("/usr/lib/", triplet)]
+
+
+if os.path.join(sys.prefix, 'lib') not in default_lib_dirs:
+    default_lib_dirs.insert(0, os.path.join(sys.prefix, 'lib'))
+    default_include_dirs.append(os.path.join(sys.prefix, 'include'))
+    default_src_dirs.append(os.path.join(sys.prefix, 'src'))
+
+default_lib_dirs = [_m for _m in default_lib_dirs if os.path.isdir(_m)]
+default_runtime_dirs = [_m for _m in default_runtime_dirs if os.path.isdir(_m)]
+default_include_dirs = [_m for _m in default_include_dirs if os.path.isdir(_m)]
+default_src_dirs = [_m for _m in default_src_dirs if os.path.isdir(_m)]
+
+so_ext = get_shared_lib_extension()
+
+
+def get_standard_file(fname):
+    """Returns a list of files named 'fname' from
+    1) System-wide directory (directory-location of this module)
+    2) Users HOME directory (os.environ['HOME'])
+    3) Local directory
+    """
+    # System-wide file
+    filenames = []
+    try:
+        f = __file__
+    except NameError:
+        f = sys.argv[0]
+    sysfile = os.path.join(os.path.split(os.path.abspath(f))[0],
+                           fname)
+    if os.path.isfile(sysfile):
+        filenames.append(sysfile)
+
+    # Home directory
+    # And look for the user config file
+    try:
+        f = os.path.expanduser('~')
+    except KeyError:
+        pass
+    else:
+        user_file = os.path.join(f, fname)
+        if os.path.isfile(user_file):
+            filenames.append(user_file)
+
+    # Local file
+    if os.path.isfile(fname):
+        filenames.append(os.path.abspath(fname))
+
+    return filenames
+
+
+def _parse_env_order(base_order, env):
+    """ Parse an environment variable `env` by splitting with "," and only returning elements from `base_order`
+
+    This method will sequence the environment variable and check for their
+    individual elements in `base_order`.
+
+    The items in the environment variable may be negated via '^item' or '!itema,itemb'.
+    It must start with ^/! to negate all options.
+
+    Raises
+    ------
+    ValueError: for mixed negated and non-negated orders or multiple negated orders
+
+    Parameters
+    ----------
+    base_order : list of str
+       the base list of orders
+    env : str
+       the environment variable to be parsed, if none is found, `base_order` is returned
+
+    Returns
+    -------
+    allow_order : list of str
+        allowed orders in lower-case
+    unknown_order : list of str
+        for values not overlapping with `base_order`
+    """
+    order_str = os.environ.get(env, None)
+
+    # ensure all base-orders are lower-case (for easier comparison)
+    base_order = [order.lower() for order in base_order]
+    if order_str is None:
+        return base_order, []
+
+    neg = order_str.startswith('^') or order_str.startswith('!')
+    # Check format
+    order_str_l = list(order_str)
+    sum_neg = order_str_l.count('^') + order_str_l.count('!')
+    if neg:
+        if sum_neg > 1:
+            raise ValueError(f"Environment variable '{env}' may only contain a single (prefixed) negation: {order_str}")
+        # remove prefix
+        order_str = order_str[1:]
+    elif sum_neg > 0:
+        raise ValueError(f"Environment variable '{env}' may not mix negated an non-negated items: {order_str}")
+
+    # Split and lower case
+    orders = order_str.lower().split(',')
+
+    # to inform callee about non-overlapping elements
+    unknown_order = []
+
+    # if negated, we have to remove from the order
+    if neg:
+        allow_order = base_order.copy()
+
+        for order in orders:
+            if not order:
+                continue
+
+            if order not in base_order:
+                unknown_order.append(order)
+                continue
+
+            if order in allow_order:
+                allow_order.remove(order)
+
+    else:
+        allow_order = []
+
+        for order in orders:
+            if not order:
+                continue
+
+            if order not in base_order:
+                unknown_order.append(order)
+                continue
+
+            if order not in allow_order:
+                allow_order.append(order)
+
+    return allow_order, unknown_order
+
+
+def get_info(name, notfound_action=0):
+    """
+    notfound_action:
+      0 - do nothing
+      1 - display warning message
+      2 - raise error
+    """
+    cl = {'armpl': armpl_info,
+          'blas_armpl': blas_armpl_info,
+          'lapack_armpl': lapack_armpl_info,
+          'fftw3_armpl': fftw3_armpl_info,
+          'atlas': atlas_info,  # use lapack_opt or blas_opt instead
+          'atlas_threads': atlas_threads_info,                # ditto
+          'atlas_blas': atlas_blas_info,
+          'atlas_blas_threads': atlas_blas_threads_info,
+          'lapack_atlas': lapack_atlas_info,  # use lapack_opt instead
+          'lapack_atlas_threads': lapack_atlas_threads_info,  # ditto
+          'atlas_3_10': atlas_3_10_info,  # use lapack_opt or blas_opt instead
+          'atlas_3_10_threads': atlas_3_10_threads_info,                # ditto
+          'atlas_3_10_blas': atlas_3_10_blas_info,
+          'atlas_3_10_blas_threads': atlas_3_10_blas_threads_info,
+          'lapack_atlas_3_10': lapack_atlas_3_10_info,  # use lapack_opt instead
+          'lapack_atlas_3_10_threads': lapack_atlas_3_10_threads_info,  # ditto
+          'flame': flame_info,          # use lapack_opt instead
+          'mkl': mkl_info,
+          'ssl2': ssl2_info,
+          # openblas which may or may not have embedded lapack
+          'openblas': openblas_info,          # use blas_opt instead
+          # openblas with embedded lapack
+          'openblas_lapack': openblas_lapack_info, # use blas_opt instead
+          'openblas_clapack': openblas_clapack_info, # use blas_opt instead
+          'blis': blis_info,                  # use blas_opt instead
+          'lapack_mkl': lapack_mkl_info,      # use lapack_opt instead
+          'blas_mkl': blas_mkl_info,          # use blas_opt instead
+          'lapack_ssl2': lapack_ssl2_info,      
+          'blas_ssl2': blas_ssl2_info,          
+          'accelerate': accelerate_info,      # use blas_opt instead
+          'accelerate_lapack': accelerate_lapack_info,
+          'openblas64_': openblas64__info,
+          'openblas64__lapack': openblas64__lapack_info,
+          'openblas_ilp64': openblas_ilp64_info,
+          'openblas_ilp64_lapack': openblas_ilp64_lapack_info,
+          'x11': x11_info,
+          'fft_opt': fft_opt_info,
+          'fftw': fftw_info,
+          'fftw2': fftw2_info,
+          'fftw3': fftw3_info,
+          'dfftw': dfftw_info,
+          'sfftw': sfftw_info,
+          'fftw_threads': fftw_threads_info,
+          'dfftw_threads': dfftw_threads_info,
+          'sfftw_threads': sfftw_threads_info,
+          'djbfft': djbfft_info,
+          'blas': blas_info,                  # use blas_opt instead
+          'lapack': lapack_info,              # use lapack_opt instead
+          'lapack_src': lapack_src_info,
+          'blas_src': blas_src_info,
+          'numpy': numpy_info,
+          'f2py': f2py_info,
+          'Numeric': Numeric_info,
+          'numeric': Numeric_info,
+          'numarray': numarray_info,
+          'numerix': numerix_info,
+          'lapack_opt': lapack_opt_info,
+          'lapack_ilp64_opt': lapack_ilp64_opt_info,
+          'lapack_ilp64_plain_opt': lapack_ilp64_plain_opt_info,
+          'lapack64__opt': lapack64__opt_info,
+          'blas_opt': blas_opt_info,
+          'blas_ilp64_opt': blas_ilp64_opt_info,
+          'blas_ilp64_plain_opt': blas_ilp64_plain_opt_info,
+          'blas64__opt': blas64__opt_info,
+          'boost_python': boost_python_info,
+          'agg2': agg2_info,
+          'wx': wx_info,
+          'gdk_pixbuf_xlib_2': gdk_pixbuf_xlib_2_info,
+          'gdk-pixbuf-xlib-2.0': gdk_pixbuf_xlib_2_info,
+          'gdk_pixbuf_2': gdk_pixbuf_2_info,
+          'gdk-pixbuf-2.0': gdk_pixbuf_2_info,
+          'gdk': gdk_info,
+          'gdk_2': gdk_2_info,
+          'gdk-2.0': gdk_2_info,
+          'gdk_x11_2': gdk_x11_2_info,
+          'gdk-x11-2.0': gdk_x11_2_info,
+          'gtkp_x11_2': gtkp_x11_2_info,
+          'gtk+-x11-2.0': gtkp_x11_2_info,
+          'gtkp_2': gtkp_2_info,
+          'gtk+-2.0': gtkp_2_info,
+          'xft': xft_info,
+          'freetype2': freetype2_info,
+          'umfpack': umfpack_info,
+          'amd': amd_info,
+          }.get(name.lower(), system_info)
+    return cl().get_info(notfound_action)
+
+
+class NotFoundError(DistutilsError):
+    """Some third-party program or library is not found."""
+
+
+class AliasedOptionError(DistutilsError):
+    """
+    Aliases entries in config files should not be existing.
+    In section '{section}' we found multiple appearances of options {options}."""
+
+
+class AtlasNotFoundError(NotFoundError):
+    """
+    Atlas (http://github.com/math-atlas/math-atlas) libraries not found.
+    Directories to search for the libraries can be specified in the
+    numpy/distutils/site.cfg file (section [atlas]) or by setting
+    the ATLAS environment variable."""
+
+
+class FlameNotFoundError(NotFoundError):
+    """
+    FLAME (http://www.cs.utexas.edu/~flame/web/) libraries not found.
+    Directories to search for the libraries can be specified in the
+    numpy/distutils/site.cfg file (section [flame])."""
+
+
+class LapackNotFoundError(NotFoundError):
+    """
+    Lapack (http://www.netlib.org/lapack/) libraries not found.
+    Directories to search for the libraries can be specified in the
+    numpy/distutils/site.cfg file (section [lapack]) or by setting
+    the LAPACK environment variable."""
+
+
+class LapackSrcNotFoundError(LapackNotFoundError):
+    """
+    Lapack (http://www.netlib.org/lapack/) sources not found.
+    Directories to search for the sources can be specified in the
+    numpy/distutils/site.cfg file (section [lapack_src]) or by setting
+    the LAPACK_SRC environment variable."""
+
+
+class LapackILP64NotFoundError(NotFoundError):
+    """
+    64-bit Lapack libraries not found.
+    Known libraries in numpy/distutils/site.cfg file are:
+    openblas64_, openblas_ilp64
+    """
+
+class BlasOptNotFoundError(NotFoundError):
+    """
+    Optimized (vendor) Blas libraries are not found.
+    Falls back to netlib Blas library which has worse performance.
+    A better performance should be easily gained by switching
+    Blas library."""
+
+class BlasNotFoundError(NotFoundError):
+    """
+    Blas (http://www.netlib.org/blas/) libraries not found.
+    Directories to search for the libraries can be specified in the
+    numpy/distutils/site.cfg file (section [blas]) or by setting
+    the BLAS environment variable."""
+
+class BlasILP64NotFoundError(NotFoundError):
+    """
+    64-bit Blas libraries not found.
+    Known libraries in numpy/distutils/site.cfg file are:
+    openblas64_, openblas_ilp64
+    """
+
+class BlasSrcNotFoundError(BlasNotFoundError):
+    """
+    Blas (http://www.netlib.org/blas/) sources not found.
+    Directories to search for the sources can be specified in the
+    numpy/distutils/site.cfg file (section [blas_src]) or by setting
+    the BLAS_SRC environment variable."""
+
+
+class FFTWNotFoundError(NotFoundError):
+    """
+    FFTW (http://www.fftw.org/) libraries not found.
+    Directories to search for the libraries can be specified in the
+    numpy/distutils/site.cfg file (section [fftw]) or by setting
+    the FFTW environment variable."""
+
+
+class DJBFFTNotFoundError(NotFoundError):
+    """
+    DJBFFT (https://cr.yp.to/djbfft.html) libraries not found.
+    Directories to search for the libraries can be specified in the
+    numpy/distutils/site.cfg file (section [djbfft]) or by setting
+    the DJBFFT environment variable."""
+
+
+class NumericNotFoundError(NotFoundError):
+    """
+    Numeric (https://www.numpy.org/) module not found.
+    Get it from above location, install it, and retry setup.py."""
+
+
+class X11NotFoundError(NotFoundError):
+    """X11 libraries not found."""
+
+
+class UmfpackNotFoundError(NotFoundError):
+    """
+    UMFPACK sparse solver (https://www.cise.ufl.edu/research/sparse/umfpack/)
+    not found. Directories to search for the libraries can be specified in the
+    numpy/distutils/site.cfg file (section [umfpack]) or by setting
+    the UMFPACK environment variable."""
+
+
+class system_info:
+
+    """ get_info() is the only public method. Don't use others.
+    """
+    dir_env_var = None
+    # XXX: search_static_first is disabled by default, may disappear in
+    # future unless it is proved to be useful.
+    search_static_first = 0
+    # The base-class section name is a random word "ALL" and is not really
+    # intended for general use. It cannot be None nor can it be DEFAULT as
+    # these break the ConfigParser. See gh-15338
+    section = 'ALL'
+    saved_results = {}
+
+    notfounderror = NotFoundError
+
+    def __init__(self,
+                  default_lib_dirs=default_lib_dirs,
+                  default_include_dirs=default_include_dirs,
+                  ):
+        self.__class__.info = {}
+        self.local_prefixes = []
+        defaults = {'library_dirs': os.pathsep.join(default_lib_dirs),
+                    'include_dirs': os.pathsep.join(default_include_dirs),
+                    'runtime_library_dirs': os.pathsep.join(default_runtime_dirs),
+                    'rpath': '',
+                    'src_dirs': os.pathsep.join(default_src_dirs),
+                    'search_static_first': str(self.search_static_first),
+                    'extra_compile_args': '', 'extra_link_args': ''}
+        self.cp = ConfigParser(defaults)
+        self.files = []
+        self.files.extend(get_standard_file('.numpy-site.cfg'))
+        self.files.extend(get_standard_file('site.cfg'))
+        self.parse_config_files()
+
+        if self.section is not None:
+            self.search_static_first = self.cp.getboolean(
+                self.section, 'search_static_first')
+        assert isinstance(self.search_static_first, int)
+
+    def parse_config_files(self):
+        self.cp.read(self.files)
+        if not self.cp.has_section(self.section):
+            if self.section is not None:
+                self.cp.add_section(self.section)
+
+    def calc_libraries_info(self):
+        libs = self.get_libraries()
+        dirs = self.get_lib_dirs()
+        # The extensions use runtime_library_dirs
+        r_dirs = self.get_runtime_lib_dirs()
+        # Intrinsic distutils use rpath, we simply append both entries
+        # as though they were one entry
+        r_dirs.extend(self.get_runtime_lib_dirs(key='rpath'))
+        info = {}
+        for lib in libs:
+            i = self.check_libs(dirs, [lib])
+            if i is not None:
+                dict_append(info, **i)
+            else:
+                log.info('Library %s was not found. Ignoring' % (lib))
+
+            if r_dirs:
+                i = self.check_libs(r_dirs, [lib])
+                if i is not None:
+                    # Swap library keywords found to runtime_library_dirs
+                    # the libraries are insisting on the user having defined
+                    # them using the library_dirs, and not necessarily by
+                    # runtime_library_dirs
+                    del i['libraries']
+                    i['runtime_library_dirs'] = i.pop('library_dirs')
+                    dict_append(info, **i)
+                else:
+                    log.info('Runtime library %s was not found. Ignoring' % (lib))
+
+        return info
+
+    def set_info(self, **info):
+        if info:
+            lib_info = self.calc_libraries_info()
+            dict_append(info, **lib_info)
+            # Update extra information
+            extra_info = self.calc_extra_info()
+            dict_append(info, **extra_info)
+        self.saved_results[self.__class__.__name__] = info
+
+    def get_option_single(self, *options):
+        """ Ensure that only one of `options` are found in the section
+
+        Parameters
+        ----------
+        *options : list of str
+           a list of options to be found in the section (``self.section``)
+
+        Returns
+        -------
+        str :
+            the option that is uniquely found in the section
+
+        Raises
+        ------
+        AliasedOptionError :
+            in case more than one of the options are found
+        """
+        found = [self.cp.has_option(self.section, opt) for opt in options]
+        if sum(found) == 1:
+            return options[found.index(True)]
+        elif sum(found) == 0:
+            # nothing is found anyways
+            return options[0]
+
+        # Else we have more than 1 key found
+        if AliasedOptionError.__doc__ is None:
+            raise AliasedOptionError()
+        raise AliasedOptionError(AliasedOptionError.__doc__.format(
+            section=self.section, options='[{}]'.format(', '.join(options))))
+
+
+    def has_info(self):
+        return self.__class__.__name__ in self.saved_results
+
+    def calc_extra_info(self):
+        """ Updates the information in the current information with
+        respect to these flags:
+          extra_compile_args
+          extra_link_args
+        """
+        info = {}
+        for key in ['extra_compile_args', 'extra_link_args']:
+            # Get values
+            opt = self.cp.get(self.section, key)
+            opt = _shell_utils.NativeParser.split(opt)
+            if opt:
+                tmp = {key: opt}
+                dict_append(info, **tmp)
+        return info
+
+    def get_info(self, notfound_action=0):
+        """ Return a dictionary with items that are compatible
+            with numpy.distutils.setup keyword arguments.
+        """
+        flag = 0
+        if not self.has_info():
+            flag = 1
+            log.info(self.__class__.__name__ + ':')
+            if hasattr(self, 'calc_info'):
+                self.calc_info()
+            if notfound_action:
+                if not self.has_info():
+                    if notfound_action == 1:
+                        warnings.warn(self.notfounderror.__doc__, stacklevel=2)
+                    elif notfound_action == 2:
+                        raise self.notfounderror(self.notfounderror.__doc__)
+                    else:
+                        raise ValueError(repr(notfound_action))
+
+            if not self.has_info():
+                log.info('  NOT AVAILABLE')
+                self.set_info()
+            else:
+                log.info('  FOUND:')
+
+        res = self.saved_results.get(self.__class__.__name__)
+        if log.get_threshold() <= log.INFO and flag:
+            for k, v in res.items():
+                v = str(v)
+                if k in ['sources', 'libraries'] and len(v) > 270:
+                    v = v[:120] + '...\n...\n...' + v[-120:]
+                log.info('    %s = %s', k, v)
+            log.info('')
+
+        return copy.deepcopy(res)
+
+    def get_paths(self, section, key):
+        dirs = self.cp.get(section, key).split(os.pathsep)
+        env_var = self.dir_env_var
+        if env_var:
+            if is_sequence(env_var):
+                e0 = env_var[-1]
+                for e in env_var:
+                    if e in os.environ:
+                        e0 = e
+                        break
+                if not env_var[0] == e0:
+                    log.info('Setting %s=%s' % (env_var[0], e0))
+                env_var = e0
+        if env_var and env_var in os.environ:
+            d = os.environ[env_var]
+            if d == 'None':
+                log.info('Disabled %s: %s',
+                         self.__class__.__name__, '(%s is None)'
+                         % (env_var,))
+                return []
+            if os.path.isfile(d):
+                dirs = [os.path.dirname(d)] + dirs
+                l = getattr(self, '_lib_names', [])
+                if len(l) == 1:
+                    b = os.path.basename(d)
+                    b = os.path.splitext(b)[0]
+                    if b[:3] == 'lib':
+                        log.info('Replacing _lib_names[0]==%r with %r' \
+                              % (self._lib_names[0], b[3:]))
+                        self._lib_names[0] = b[3:]
+            else:
+                ds = d.split(os.pathsep)
+                ds2 = []
+                for d in ds:
+                    if os.path.isdir(d):
+                        ds2.append(d)
+                        for dd in ['include', 'lib']:
+                            d1 = os.path.join(d, dd)
+                            if os.path.isdir(d1):
+                                ds2.append(d1)
+                dirs = ds2 + dirs
+        default_dirs = self.cp.get(self.section, key).split(os.pathsep)
+        dirs.extend(default_dirs)
+        ret = []
+        for d in dirs:
+            if len(d) > 0 and not os.path.isdir(d):
+                warnings.warn('Specified path %s is invalid.' % d, stacklevel=2)
+                continue
+
+            if d not in ret:
+                ret.append(d)
+
+        log.debug('( %s = %s )', key, ':'.join(ret))
+        return ret
+
+    def get_lib_dirs(self, key='library_dirs'):
+        return self.get_paths(self.section, key)
+
+    def get_runtime_lib_dirs(self, key='runtime_library_dirs'):
+        path = self.get_paths(self.section, key)
+        if path == ['']:
+            path = []
+        return path
+
+    def get_include_dirs(self, key='include_dirs'):
+        return self.get_paths(self.section, key)
+
+    def get_src_dirs(self, key='src_dirs'):
+        return self.get_paths(self.section, key)
+
+    def get_libs(self, key, default):
+        try:
+            libs = self.cp.get(self.section, key)
+        except NoOptionError:
+            if not default:
+                return []
+            if is_string(default):
+                return [default]
+            return default
+        return [b for b in [a.strip() for a in libs.split(',')] if b]
+
+    def get_libraries(self, key='libraries'):
+        if hasattr(self, '_lib_names'):
+            return self.get_libs(key, default=self._lib_names)
+        else:
+            return self.get_libs(key, '')
+
+    def library_extensions(self):
+        c = customized_ccompiler()
+        static_exts = []
+        if c.compiler_type != 'msvc':
+            # MSVC doesn't understand binutils
+            static_exts.append('.a')
+        if sys.platform == 'win32':
+            static_exts.append('.lib')  # .lib is used by MSVC and others
+        if self.search_static_first:
+            exts = static_exts + [so_ext]
+        else:
+            exts = [so_ext] + static_exts
+        if sys.platform == 'cygwin':
+            exts.append('.dll.a')
+        if sys.platform == 'darwin':
+            exts.append('.dylib')
+        return exts
+
+    def check_libs(self, lib_dirs, libs, opt_libs=[]):
+        """If static or shared libraries are available then return
+        their info dictionary.
+
+        Checks for all libraries as shared libraries first, then
+        static (or vice versa if self.search_static_first is True).
+        """
+        exts = self.library_extensions()
+        info = None
+        for ext in exts:
+            info = self._check_libs(lib_dirs, libs, opt_libs, [ext])
+            if info is not None:
+                break
+        if not info:
+            log.info('  libraries %s not found in %s', ','.join(libs),
+                     lib_dirs)
+        return info
+
+    def check_libs2(self, lib_dirs, libs, opt_libs=[]):
+        """If static or shared libraries are available then return
+        their info dictionary.
+
+        Checks each library for shared or static.
+        """
+        exts = self.library_extensions()
+        info = self._check_libs(lib_dirs, libs, opt_libs, exts)
+        if not info:
+            log.info('  libraries %s not found in %s', ','.join(libs),
+                     lib_dirs)
+
+        return info
+
+    def _find_lib(self, lib_dir, lib, exts):
+        assert is_string(lib_dir)
+        # under windows first try without 'lib' prefix
+        if sys.platform == 'win32':
+            lib_prefixes = ['', 'lib']
+        else:
+            lib_prefixes = ['lib']
+        # for each library name, see if we can find a file for it.
+        for ext in exts:
+            for prefix in lib_prefixes:
+                p = self.combine_paths(lib_dir, prefix + lib + ext)
+                if p:
+                    break
+            if p:
+                assert len(p) == 1
+                # ??? splitext on p[0] would do this for cygwin
+                # doesn't seem correct
+                if ext == '.dll.a':
+                    lib += '.dll'
+                if ext == '.lib':
+                    lib = prefix + lib
+                return lib
+
+        return False
+
+    def _find_libs(self, lib_dirs, libs, exts):
+        # make sure we preserve the order of libs, as it can be important
+        found_dirs, found_libs = [], []
+        for lib in libs:
+            for lib_dir in lib_dirs:
+                found_lib = self._find_lib(lib_dir, lib, exts)
+                if found_lib:
+                    found_libs.append(found_lib)
+                    if lib_dir not in found_dirs:
+                        found_dirs.append(lib_dir)
+                    break
+        return found_dirs, found_libs
+
+    def _check_libs(self, lib_dirs, libs, opt_libs, exts):
+        """Find mandatory and optional libs in expected paths.
+
+        Missing optional libraries are silently forgotten.
+        """
+        if not is_sequence(lib_dirs):
+            lib_dirs = [lib_dirs]
+        # First, try to find the mandatory libraries
+        found_dirs, found_libs = self._find_libs(lib_dirs, libs, exts)
+        if len(found_libs) > 0 and len(found_libs) == len(libs):
+            # Now, check for optional libraries
+            opt_found_dirs, opt_found_libs = self._find_libs(lib_dirs, opt_libs, exts)
+            found_libs.extend(opt_found_libs)
+            for lib_dir in opt_found_dirs:
+                if lib_dir not in found_dirs:
+                    found_dirs.append(lib_dir)
+            info = {'libraries': found_libs, 'library_dirs': found_dirs}
+            return info
+        else:
+            return None
+
+    def combine_paths(self, *args):
+        """Return a list of existing paths composed by all combinations
+        of items from the arguments.
+        """
+        return combine_paths(*args)
+
+
+class fft_opt_info(system_info):
+
+    def calc_info(self):
+        info = {}
+        fftw_info = get_info('fftw3') or get_info('fftw2') or get_info('dfftw')
+        djbfft_info = get_info('djbfft')
+        if fftw_info:
+            dict_append(info, **fftw_info)
+            if djbfft_info:
+                dict_append(info, **djbfft_info)
+            self.set_info(**info)
+            return
+
+
+class fftw_info(system_info):
+    #variables to override
+    section = 'fftw'
+    dir_env_var = 'FFTW'
+    notfounderror = FFTWNotFoundError
+    ver_info = [{'name':'fftw3',
+                    'libs':['fftw3'],
+                    'includes':['fftw3.h'],
+                    'macros':[('SCIPY_FFTW3_H', None)]},
+                  {'name':'fftw2',
+                    'libs':['rfftw', 'fftw'],
+                    'includes':['fftw.h', 'rfftw.h'],
+                    'macros':[('SCIPY_FFTW_H', None)]}]
+
+    def calc_ver_info(self, ver_param):
+        """Returns True on successful version detection, else False"""
+        lib_dirs = self.get_lib_dirs()
+        incl_dirs = self.get_include_dirs()
+
+        opt = self.get_option_single(self.section + '_libs', 'libraries')
+        libs = self.get_libs(opt, ver_param['libs'])
+        info = self.check_libs(lib_dirs, libs)
+        if info is not None:
+            flag = 0
+            for d in incl_dirs:
+                if len(self.combine_paths(d, ver_param['includes'])) \
+                   == len(ver_param['includes']):
+                    dict_append(info, include_dirs=[d])
+                    flag = 1
+                    break
+            if flag:
+                dict_append(info, define_macros=ver_param['macros'])
+            else:
+                info = None
+        if info is not None:
+            self.set_info(**info)
+            return True
+        else:
+            log.info('  %s not found' % (ver_param['name']))
+            return False
+
+    def calc_info(self):
+        for i in self.ver_info:
+            if self.calc_ver_info(i):
+                break
+
+
+class fftw2_info(fftw_info):
+    #variables to override
+    section = 'fftw'
+    dir_env_var = 'FFTW'
+    notfounderror = FFTWNotFoundError
+    ver_info = [{'name':'fftw2',
+                    'libs':['rfftw', 'fftw'],
+                    'includes':['fftw.h', 'rfftw.h'],
+                    'macros':[('SCIPY_FFTW_H', None)]}
+                  ]
+
+
+class fftw3_info(fftw_info):
+    #variables to override
+    section = 'fftw3'
+    dir_env_var = 'FFTW3'
+    notfounderror = FFTWNotFoundError
+    ver_info = [{'name':'fftw3',
+                    'libs':['fftw3'],
+                    'includes':['fftw3.h'],
+                    'macros':[('SCIPY_FFTW3_H', None)]},
+                  ]
+
+    
+class fftw3_armpl_info(fftw_info):
+    section = 'fftw3'
+    dir_env_var = 'ARMPL_DIR'
+    notfounderror = FFTWNotFoundError
+    ver_info = [{'name': 'fftw3',
+                    'libs': ['armpl_lp64_mp'],
+                    'includes': ['fftw3.h'],
+                    'macros': [('SCIPY_FFTW3_H', None)]}]
+
+
+class dfftw_info(fftw_info):
+    section = 'fftw'
+    dir_env_var = 'FFTW'
+    ver_info = [{'name':'dfftw',
+                    'libs':['drfftw', 'dfftw'],
+                    'includes':['dfftw.h', 'drfftw.h'],
+                    'macros':[('SCIPY_DFFTW_H', None)]}]
+
+
+class sfftw_info(fftw_info):
+    section = 'fftw'
+    dir_env_var = 'FFTW'
+    ver_info = [{'name':'sfftw',
+                    'libs':['srfftw', 'sfftw'],
+                    'includes':['sfftw.h', 'srfftw.h'],
+                    'macros':[('SCIPY_SFFTW_H', None)]}]
+
+
+class fftw_threads_info(fftw_info):
+    section = 'fftw'
+    dir_env_var = 'FFTW'
+    ver_info = [{'name':'fftw threads',
+                    'libs':['rfftw_threads', 'fftw_threads'],
+                    'includes':['fftw_threads.h', 'rfftw_threads.h'],
+                    'macros':[('SCIPY_FFTW_THREADS_H', None)]}]
+
+
+class dfftw_threads_info(fftw_info):
+    section = 'fftw'
+    dir_env_var = 'FFTW'
+    ver_info = [{'name':'dfftw threads',
+                    'libs':['drfftw_threads', 'dfftw_threads'],
+                    'includes':['dfftw_threads.h', 'drfftw_threads.h'],
+                    'macros':[('SCIPY_DFFTW_THREADS_H', None)]}]
+
+
+class sfftw_threads_info(fftw_info):
+    section = 'fftw'
+    dir_env_var = 'FFTW'
+    ver_info = [{'name':'sfftw threads',
+                    'libs':['srfftw_threads', 'sfftw_threads'],
+                    'includes':['sfftw_threads.h', 'srfftw_threads.h'],
+                    'macros':[('SCIPY_SFFTW_THREADS_H', None)]}]
+
+
+class djbfft_info(system_info):
+    section = 'djbfft'
+    dir_env_var = 'DJBFFT'
+    notfounderror = DJBFFTNotFoundError
+
+    def get_paths(self, section, key):
+        pre_dirs = system_info.get_paths(self, section, key)
+        dirs = []
+        for d in pre_dirs:
+            dirs.extend(self.combine_paths(d, ['djbfft']) + [d])
+        return [d for d in dirs if os.path.isdir(d)]
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        incl_dirs = self.get_include_dirs()
+        info = None
+        for d in lib_dirs:
+            p = self.combine_paths(d, ['djbfft.a'])
+            if p:
+                info = {'extra_objects': p}
+                break
+            p = self.combine_paths(d, ['libdjbfft.a', 'libdjbfft' + so_ext])
+            if p:
+                info = {'libraries': ['djbfft'], 'library_dirs': [d]}
+                break
+        if info is None:
+            return
+        for d in incl_dirs:
+            if len(self.combine_paths(d, ['fftc8.h', 'fftfreq.h'])) == 2:
+                dict_append(info, include_dirs=[d],
+                            define_macros=[('SCIPY_DJBFFT_H', None)])
+                self.set_info(**info)
+                return
+        return
+
+
+class mkl_info(system_info):
+    section = 'mkl'
+    dir_env_var = 'MKLROOT'
+    _lib_mkl = ['mkl_rt']
+
+    def get_mkl_rootdir(self):
+        mklroot = os.environ.get('MKLROOT', None)
+        if mklroot is not None:
+            return mklroot
+        paths = os.environ.get('LD_LIBRARY_PATH', '').split(os.pathsep)
+        ld_so_conf = '/etc/ld.so.conf'
+        if os.path.isfile(ld_so_conf):
+            with open(ld_so_conf) as f:
+                for d in f:
+                    d = d.strip()
+                    if d:
+                        paths.append(d)
+        intel_mkl_dirs = []
+        for path in paths:
+            path_atoms = path.split(os.sep)
+            for m in path_atoms:
+                if m.startswith('mkl'):
+                    d = os.sep.join(path_atoms[:path_atoms.index(m) + 2])
+                    intel_mkl_dirs.append(d)
+                    break
+        for d in paths:
+            dirs = glob(os.path.join(d, 'mkl', '*'))
+            dirs += glob(os.path.join(d, 'mkl*'))
+            for sub_dir in dirs:
+                if os.path.isdir(os.path.join(sub_dir, 'lib')):
+                    return sub_dir
+        return None
+
+    def __init__(self):
+        mklroot = self.get_mkl_rootdir()
+        if mklroot is None:
+            system_info.__init__(self)
+        else:
+            from .cpuinfo import cpu
+            if cpu.is_Itanium():
+                plt = '64'
+            elif cpu.is_Intel() and cpu.is_64bit():
+                plt = 'intel64'
+            else:
+                plt = '32'
+            system_info.__init__(
+                self,
+                default_lib_dirs=[os.path.join(mklroot, 'lib', plt)],
+                default_include_dirs=[os.path.join(mklroot, 'include')])
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        incl_dirs = self.get_include_dirs()
+        opt = self.get_option_single('mkl_libs', 'libraries')
+        mkl_libs = self.get_libs(opt, self._lib_mkl)
+        info = self.check_libs2(lib_dirs, mkl_libs)
+        if info is None:
+            return
+        dict_append(info,
+                    define_macros=[('SCIPY_MKL_H', None),
+                                   ('HAVE_CBLAS', None)],
+                    include_dirs=incl_dirs)
+        if sys.platform == 'win32':
+            pass  # win32 has no pthread library
+        else:
+            dict_append(info, libraries=['pthread'])
+        self.set_info(**info)
+
+
+class lapack_mkl_info(mkl_info):
+    pass
+
+
+class blas_mkl_info(mkl_info):
+    pass
+
+
+class ssl2_info(system_info):
+    section = 'ssl2'
+    dir_env_var = 'SSL2_DIR'
+    # Multi-threaded version. Python itself must be built by Fujitsu compiler.
+    _lib_ssl2 = ['fjlapackexsve']
+    # Single-threaded version
+    #_lib_ssl2 = ['fjlapacksve']
+
+    def get_tcsds_rootdir(self):
+        tcsdsroot = os.environ.get('TCSDS_PATH', None)
+        if tcsdsroot is not None:
+            return tcsdsroot
+        return None
+
+    def __init__(self):
+        tcsdsroot = self.get_tcsds_rootdir()
+        if tcsdsroot is None:
+            system_info.__init__(self)
+        else:
+            system_info.__init__(
+                self,
+                default_lib_dirs=[os.path.join(tcsdsroot, 'lib64')],
+                default_include_dirs=[os.path.join(tcsdsroot,
+                    'clang-comp/include')])
+
+    def calc_info(self):
+        tcsdsroot = self.get_tcsds_rootdir()
+
+        lib_dirs = self.get_lib_dirs()
+        if lib_dirs is None:
+            lib_dirs = os.path.join(tcsdsroot, 'lib64')
+
+        incl_dirs = self.get_include_dirs()
+        if incl_dirs is None:
+            incl_dirs = os.path.join(tcsdsroot, 'clang-comp/include')
+
+        ssl2_libs = self.get_libs('ssl2_libs', self._lib_ssl2)
+
+        info = self.check_libs2(lib_dirs, ssl2_libs)
+        if info is None:
+            return
+        dict_append(info,
+                    define_macros=[('HAVE_CBLAS', None),
+                                   ('HAVE_SSL2', 1)],
+                    include_dirs=incl_dirs,)
+        self.set_info(**info)
+
+
+class lapack_ssl2_info(ssl2_info):
+    pass
+
+
+class blas_ssl2_info(ssl2_info):
+    pass
+
+
+
+class armpl_info(system_info):
+    section = 'armpl'
+    dir_env_var = 'ARMPL_DIR'
+    _lib_armpl = ['armpl_lp64_mp']
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        incl_dirs = self.get_include_dirs()
+        armpl_libs = self.get_libs('armpl_libs', self._lib_armpl)
+        info = self.check_libs2(lib_dirs, armpl_libs)
+        if info is None:
+            return
+        dict_append(info,
+                    define_macros=[('SCIPY_MKL_H', None),
+                                   ('HAVE_CBLAS', None)],
+                    include_dirs=incl_dirs)
+        self.set_info(**info)
+
+class lapack_armpl_info(armpl_info):
+    pass
+
+class blas_armpl_info(armpl_info):
+    pass
+
+
+class atlas_info(system_info):
+    section = 'atlas'
+    dir_env_var = 'ATLAS'
+    _lib_names = ['f77blas', 'cblas']
+    if sys.platform[:7] == 'freebsd':
+        _lib_atlas = ['atlas_r']
+        _lib_lapack = ['alapack_r']
+    else:
+        _lib_atlas = ['atlas']
+        _lib_lapack = ['lapack']
+
+    notfounderror = AtlasNotFoundError
+
+    def get_paths(self, section, key):
+        pre_dirs = system_info.get_paths(self, section, key)
+        dirs = []
+        for d in pre_dirs:
+            dirs.extend(self.combine_paths(d, ['atlas*', 'ATLAS*',
+                                         'sse', '3dnow', 'sse2']) + [d])
+        return [d for d in dirs if os.path.isdir(d)]
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        info = {}
+        opt = self.get_option_single('atlas_libs', 'libraries')
+        atlas_libs = self.get_libs(opt, self._lib_names + self._lib_atlas)
+        lapack_libs = self.get_libs('lapack_libs', self._lib_lapack)
+        atlas = None
+        lapack = None
+        atlas_1 = None
+        for d in lib_dirs:
+            atlas = self.check_libs2(d, atlas_libs, [])
+            if atlas is not None:
+                lib_dirs2 = [d] + self.combine_paths(d, ['atlas*', 'ATLAS*'])
+                lapack = self.check_libs2(lib_dirs2, lapack_libs, [])
+                if lapack is not None:
+                    break
+            if atlas:
+                atlas_1 = atlas
+        log.info(self.__class__)
+        if atlas is None:
+            atlas = atlas_1
+        if atlas is None:
+            return
+        include_dirs = self.get_include_dirs()
+        h = (self.combine_paths(lib_dirs + include_dirs, 'cblas.h') or [None])
+        h = h[0]
+        if h:
+            h = os.path.dirname(h)
+            dict_append(info, include_dirs=[h])
+        info['language'] = 'c'
+        if lapack is not None:
+            dict_append(info, **lapack)
+            dict_append(info, **atlas)
+        elif 'lapack_atlas' in atlas['libraries']:
+            dict_append(info, **atlas)
+            dict_append(info,
+                        define_macros=[('ATLAS_WITH_LAPACK_ATLAS', None)])
+            self.set_info(**info)
+            return
+        else:
+            dict_append(info, **atlas)
+            dict_append(info, define_macros=[('ATLAS_WITHOUT_LAPACK', None)])
+            message = textwrap.dedent("""
+                *********************************************************************
+                    Could not find lapack library within the ATLAS installation.
+                *********************************************************************
+                """)
+            warnings.warn(message, stacklevel=2)
+            self.set_info(**info)
+            return
+
+        # Check if lapack library is complete, only warn if it is not.
+        lapack_dir = lapack['library_dirs'][0]
+        lapack_name = lapack['libraries'][0]
+        lapack_lib = None
+        lib_prefixes = ['lib']
+        if sys.platform == 'win32':
+            lib_prefixes.append('')
+        for e in self.library_extensions():
+            for prefix in lib_prefixes:
+                fn = os.path.join(lapack_dir, prefix + lapack_name + e)
+                if os.path.exists(fn):
+                    lapack_lib = fn
+                    break
+            if lapack_lib:
+                break
+        if lapack_lib is not None:
+            sz = os.stat(lapack_lib)[6]
+            if sz <= 4000 * 1024:
+                message = textwrap.dedent("""
+                    *********************************************************************
+                        Lapack library (from ATLAS) is probably incomplete:
+                          size of %s is %sk (expected >4000k)
+
+                        Follow the instructions in the KNOWN PROBLEMS section of the file
+                        numpy/INSTALL.txt.
+                    *********************************************************************
+                    """) % (lapack_lib, sz / 1024)
+                warnings.warn(message, stacklevel=2)
+            else:
+                info['language'] = 'f77'
+
+        atlas_version, atlas_extra_info = get_atlas_version(**atlas)
+        dict_append(info, **atlas_extra_info)
+
+        self.set_info(**info)
+
+
+class atlas_blas_info(atlas_info):
+    _lib_names = ['f77blas', 'cblas']
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        info = {}
+        opt = self.get_option_single('atlas_libs', 'libraries')
+        atlas_libs = self.get_libs(opt, self._lib_names + self._lib_atlas)
+        atlas = self.check_libs2(lib_dirs, atlas_libs, [])
+        if atlas is None:
+            return
+        include_dirs = self.get_include_dirs()
+        h = (self.combine_paths(lib_dirs + include_dirs, 'cblas.h') or [None])
+        h = h[0]
+        if h:
+            h = os.path.dirname(h)
+            dict_append(info, include_dirs=[h])
+        info['language'] = 'c'
+        info['define_macros'] = [('HAVE_CBLAS', None)]
+
+        atlas_version, atlas_extra_info = get_atlas_version(**atlas)
+        dict_append(atlas, **atlas_extra_info)
+
+        dict_append(info, **atlas)
+
+        self.set_info(**info)
+        return
+
+
+class atlas_threads_info(atlas_info):
+    dir_env_var = ['PTATLAS', 'ATLAS']
+    _lib_names = ['ptf77blas', 'ptcblas']
+
+
+class atlas_blas_threads_info(atlas_blas_info):
+    dir_env_var = ['PTATLAS', 'ATLAS']
+    _lib_names = ['ptf77blas', 'ptcblas']
+
+
+class lapack_atlas_info(atlas_info):
+    _lib_names = ['lapack_atlas'] + atlas_info._lib_names
+
+
+class lapack_atlas_threads_info(atlas_threads_info):
+    _lib_names = ['lapack_atlas'] + atlas_threads_info._lib_names
+
+
+class atlas_3_10_info(atlas_info):
+    _lib_names = ['satlas']
+    _lib_atlas = _lib_names
+    _lib_lapack = _lib_names
+
+
+class atlas_3_10_blas_info(atlas_3_10_info):
+    _lib_names = ['satlas']
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        info = {}
+        opt = self.get_option_single('atlas_lib', 'libraries')
+        atlas_libs = self.get_libs(opt, self._lib_names)
+        atlas = self.check_libs2(lib_dirs, atlas_libs, [])
+        if atlas is None:
+            return
+        include_dirs = self.get_include_dirs()
+        h = (self.combine_paths(lib_dirs + include_dirs, 'cblas.h') or [None])
+        h = h[0]
+        if h:
+            h = os.path.dirname(h)
+            dict_append(info, include_dirs=[h])
+        info['language'] = 'c'
+        info['define_macros'] = [('HAVE_CBLAS', None)]
+
+        atlas_version, atlas_extra_info = get_atlas_version(**atlas)
+        dict_append(atlas, **atlas_extra_info)
+
+        dict_append(info, **atlas)
+
+        self.set_info(**info)
+        return
+
+
+class atlas_3_10_threads_info(atlas_3_10_info):
+    dir_env_var = ['PTATLAS', 'ATLAS']
+    _lib_names = ['tatlas']
+    _lib_atlas = _lib_names
+    _lib_lapack = _lib_names
+
+
+class atlas_3_10_blas_threads_info(atlas_3_10_blas_info):
+    dir_env_var = ['PTATLAS', 'ATLAS']
+    _lib_names = ['tatlas']
+
+
+class lapack_atlas_3_10_info(atlas_3_10_info):
+    pass
+
+
+class lapack_atlas_3_10_threads_info(atlas_3_10_threads_info):
+    pass
+
+
+class lapack_info(system_info):
+    section = 'lapack'
+    dir_env_var = 'LAPACK'
+    _lib_names = ['lapack']
+    notfounderror = LapackNotFoundError
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+
+        opt = self.get_option_single('lapack_libs', 'libraries')
+        lapack_libs = self.get_libs(opt, self._lib_names)
+        info = self.check_libs(lib_dirs, lapack_libs, [])
+        if info is None:
+            return
+        info['language'] = 'f77'
+        self.set_info(**info)
+
+
+class lapack_src_info(system_info):
+    # LAPACK_SRC is deprecated, please do not use this!
+    # Build or install a BLAS library via your package manager or from
+    # source separately.
+    section = 'lapack_src'
+    dir_env_var = 'LAPACK_SRC'
+    notfounderror = LapackSrcNotFoundError
+
+    def get_paths(self, section, key):
+        pre_dirs = system_info.get_paths(self, section, key)
+        dirs = []
+        for d in pre_dirs:
+            dirs.extend([d] + self.combine_paths(d, ['LAPACK*/SRC', 'SRC']))
+        return [d for d in dirs if os.path.isdir(d)]
+
+    def calc_info(self):
+        src_dirs = self.get_src_dirs()
+        src_dir = ''
+        for d in src_dirs:
+            if os.path.isfile(os.path.join(d, 'dgesv.f')):
+                src_dir = d
+                break
+        if not src_dir:
+            #XXX: Get sources from netlib. May be ask first.
+            return
+        # The following is extracted from LAPACK-3.0/SRC/Makefile.
+        # Added missing names from lapack-lite-3.1.1/SRC/Makefile
+        # while keeping removed names for Lapack-3.0 compatibility.
+        allaux = '''
+        ilaenv ieeeck lsame lsamen xerbla
+        iparmq
+        '''  # *.f
+        laux = '''
+        bdsdc bdsqr disna labad lacpy ladiv lae2 laebz laed0 laed1
+        laed2 laed3 laed4 laed5 laed6 laed7 laed8 laed9 laeda laev2
+        lagtf lagts lamch lamrg lanst lapy2 lapy3 larnv larrb larre
+        larrf lartg laruv las2 lascl lasd0 lasd1 lasd2 lasd3 lasd4
+        lasd5 lasd6 lasd7 lasd8 lasd9 lasda lasdq lasdt laset lasq1
+        lasq2 lasq3 lasq4 lasq5 lasq6 lasr lasrt lassq lasv2 pttrf
+        stebz stedc steqr sterf
+
+        larra larrc larrd larr larrk larrj larrr laneg laisnan isnan
+        lazq3 lazq4
+        '''  # [s|d]*.f
+        lasrc = '''
+        gbbrd gbcon gbequ gbrfs gbsv gbsvx gbtf2 gbtrf gbtrs gebak
+        gebal gebd2 gebrd gecon geequ gees geesx geev geevx gegs gegv
+        gehd2 gehrd gelq2 gelqf gels gelsd gelss gelsx gelsy geql2
+        geqlf geqp3 geqpf geqr2 geqrf gerfs gerq2 gerqf gesc2 gesdd
+        gesv gesvd gesvx getc2 getf2 getrf getri getrs ggbak ggbal
+        gges ggesx ggev ggevx ggglm gghrd gglse ggqrf ggrqf ggsvd
+        ggsvp gtcon gtrfs gtsv gtsvx gttrf gttrs gtts2 hgeqz hsein
+        hseqr labrd lacon laein lags2 lagtm lahqr lahrd laic1 lals0
+        lalsa lalsd langb lange langt lanhs lansb lansp lansy lantb
+        lantp lantr lapll lapmt laqgb laqge laqp2 laqps laqsb laqsp
+        laqsy lar1v lar2v larf larfb larfg larft larfx largv larrv
+        lartv larz larzb larzt laswp lasyf latbs latdf latps latrd
+        latrs latrz latzm lauu2 lauum pbcon pbequ pbrfs pbstf pbsv
+        pbsvx pbtf2 pbtrf pbtrs pocon poequ porfs posv posvx potf2
+        potrf potri potrs ppcon ppequ pprfs ppsv ppsvx pptrf pptri
+        pptrs ptcon pteqr ptrfs ptsv ptsvx pttrs ptts2 spcon sprfs
+        spsv spsvx sptrf sptri sptrs stegr stein sycon syrfs sysv
+        sysvx sytf2 sytrf sytri sytrs tbcon tbrfs tbtrs tgevc tgex2
+        tgexc tgsen tgsja tgsna tgsy2 tgsyl tpcon tprfs tptri tptrs
+        trcon trevc trexc trrfs trsen trsna trsyl trti2 trtri trtrs
+        tzrqf tzrzf
+
+        lacn2 lahr2 stemr laqr0 laqr1 laqr2 laqr3 laqr4 laqr5
+        '''  # [s|c|d|z]*.f
+        sd_lasrc = '''
+        laexc lag2 lagv2 laln2 lanv2 laqtr lasy2 opgtr opmtr org2l
+        org2r orgbr orghr orgl2 orglq orgql orgqr orgr2 orgrq orgtr
+        orm2l orm2r ormbr ormhr orml2 ormlq ormql ormqr ormr2 ormr3
+        ormrq ormrz ormtr rscl sbev sbevd sbevx sbgst sbgv sbgvd sbgvx
+        sbtrd spev spevd spevx spgst spgv spgvd spgvx sptrd stev stevd
+        stevr stevx syev syevd syevr syevx sygs2 sygst sygv sygvd
+        sygvx sytd2 sytrd
+        '''  # [s|d]*.f
+        cz_lasrc = '''
+        bdsqr hbev hbevd hbevx hbgst hbgv hbgvd hbgvx hbtrd hecon heev
+        heevd heevr heevx hegs2 hegst hegv hegvd hegvx herfs hesv
+        hesvx hetd2 hetf2 hetrd hetrf hetri hetrs hpcon hpev hpevd
+        hpevx hpgst hpgv hpgvd hpgvx hprfs hpsv hpsvx hptrd hptrf
+        hptri hptrs lacgv lacp2 lacpy lacrm lacrt ladiv laed0 laed7
+        laed8 laesy laev2 lahef lanhb lanhe lanhp lanht laqhb laqhe
+        laqhp larcm larnv lartg lascl laset lasr lassq pttrf rot spmv
+        spr stedc steqr symv syr ung2l ung2r ungbr unghr ungl2 unglq
+        ungql ungqr ungr2 ungrq ungtr unm2l unm2r unmbr unmhr unml2
+        unmlq unmql unmqr unmr2 unmr3 unmrq unmrz unmtr upgtr upmtr
+        '''  # [c|z]*.f
+        #######
+        sclaux = laux + ' econd '                  # s*.f
+        dzlaux = laux + ' secnd '                  # d*.f
+        slasrc = lasrc + sd_lasrc                  # s*.f
+        dlasrc = lasrc + sd_lasrc                  # d*.f
+        clasrc = lasrc + cz_lasrc + ' srot srscl '  # c*.f
+        zlasrc = lasrc + cz_lasrc + ' drot drscl '  # z*.f
+        oclasrc = ' icmax1 scsum1 '                # *.f
+        ozlasrc = ' izmax1 dzsum1 '                # *.f
+        sources = ['s%s.f' % f for f in (sclaux + slasrc).split()] \
+                  + ['d%s.f' % f for f in (dzlaux + dlasrc).split()] \
+                  + ['c%s.f' % f for f in (clasrc).split()] \
+                  + ['z%s.f' % f for f in (zlasrc).split()] \
+                  + ['%s.f' % f for f in (allaux + oclasrc + ozlasrc).split()]
+        sources = [os.path.join(src_dir, f) for f in sources]
+        # Lapack 3.1:
+        src_dir2 = os.path.join(src_dir, '..', 'INSTALL')
+        sources += [os.path.join(src_dir2, p + 'lamch.f') for p in 'sdcz']
+        # Lapack 3.2.1:
+        sources += [os.path.join(src_dir, p + 'larfp.f') for p in 'sdcz']
+        sources += [os.path.join(src_dir, 'ila' + p + 'lr.f') for p in 'sdcz']
+        sources += [os.path.join(src_dir, 'ila' + p + 'lc.f') for p in 'sdcz']
+        # Should we check here actual existence of source files?
+        # Yes, the file listing is different between 3.0 and 3.1
+        # versions.
+        sources = [f for f in sources if os.path.isfile(f)]
+        info = {'sources': sources, 'language': 'f77'}
+        self.set_info(**info)
+
+atlas_version_c_text = r'''
+/* This file is generated from numpy/distutils/system_info.py */
+void ATL_buildinfo(void);
+int main(void) {
+  ATL_buildinfo();
+  return 0;
+}
+'''
+
+_cached_atlas_version = {}
+
+
+def get_atlas_version(**config):
+    libraries = config.get('libraries', [])
+    library_dirs = config.get('library_dirs', [])
+    key = (tuple(libraries), tuple(library_dirs))
+    if key in _cached_atlas_version:
+        return _cached_atlas_version[key]
+    c = cmd_config(Distribution())
+    atlas_version = None
+    info = {}
+    try:
+        s, o = c.get_output(atlas_version_c_text,
+                            libraries=libraries, library_dirs=library_dirs,
+                           )
+        if s and re.search(r'undefined reference to `_gfortran', o, re.M):
+            s, o = c.get_output(atlas_version_c_text,
+                                libraries=libraries + ['gfortran'],
+                                library_dirs=library_dirs,
+                               )
+            if not s:
+                warnings.warn(textwrap.dedent("""
+                    *****************************************************
+                    Linkage with ATLAS requires gfortran. Use
+
+                      python setup.py config_fc --fcompiler=gnu95 ...
+
+                    when building extension libraries that use ATLAS.
+                    Make sure that -lgfortran is used for C++ extensions.
+                    *****************************************************
+                    """), stacklevel=2)
+                dict_append(info, language='f90',
+                            define_macros=[('ATLAS_REQUIRES_GFORTRAN', None)])
+    except Exception:  # failed to get version from file -- maybe on Windows
+        # look at directory name
+        for o in library_dirs:
+            m = re.search(r'ATLAS_(?P\d+[.]\d+[.]\d+)_', o)
+            if m:
+                atlas_version = m.group('version')
+            if atlas_version is not None:
+                break
+
+        # final choice --- look at ATLAS_VERSION environment
+        #   variable
+        if atlas_version is None:
+            atlas_version = os.environ.get('ATLAS_VERSION', None)
+        if atlas_version:
+            dict_append(info, define_macros=[(
+                'ATLAS_INFO', _c_string_literal(atlas_version))
+            ])
+        else:
+            dict_append(info, define_macros=[('NO_ATLAS_INFO', -1)])
+        return atlas_version or '?.?.?', info
+
+    if not s:
+        m = re.search(r'ATLAS version (?P\d+[.]\d+[.]\d+)', o)
+        if m:
+            atlas_version = m.group('version')
+    if atlas_version is None:
+        if re.search(r'undefined symbol: ATL_buildinfo', o, re.M):
+            atlas_version = '3.2.1_pre3.3.6'
+        else:
+            log.info('Status: %d', s)
+            log.info('Output: %s', o)
+
+    elif atlas_version == '3.2.1_pre3.3.6':
+        dict_append(info, define_macros=[('NO_ATLAS_INFO', -2)])
+    else:
+        dict_append(info, define_macros=[(
+            'ATLAS_INFO', _c_string_literal(atlas_version))
+        ])
+    result = _cached_atlas_version[key] = atlas_version, info
+    return result
+
+
+class lapack_opt_info(system_info):
+    notfounderror = LapackNotFoundError
+
+    # List of all known LAPACK libraries, in the default order
+    lapack_order = ['armpl', 'mkl', 'ssl2', 'openblas', 'flame',
+                    'accelerate', 'atlas', 'lapack']
+    order_env_var_name = 'NPY_LAPACK_ORDER'
+    
+    def _calc_info_armpl(self):
+        info = get_info('lapack_armpl')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_mkl(self):
+        info = get_info('lapack_mkl')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_ssl2(self):
+        info = get_info('lapack_ssl2')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_openblas(self):
+        info = get_info('openblas_lapack')
+        if info:
+            self.set_info(**info)
+            return True
+        info = get_info('openblas_clapack')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_flame(self):
+        info = get_info('flame')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_atlas(self):
+        info = get_info('atlas_3_10_threads')
+        if not info:
+            info = get_info('atlas_3_10')
+        if not info:
+            info = get_info('atlas_threads')
+        if not info:
+            info = get_info('atlas')
+        if info:
+            # Figure out if ATLAS has lapack...
+            # If not we need the lapack library, but not BLAS!
+            l = info.get('define_macros', [])
+            if ('ATLAS_WITH_LAPACK_ATLAS', None) in l \
+               or ('ATLAS_WITHOUT_LAPACK', None) in l:
+                # Get LAPACK (with possible warnings)
+                # If not found we don't accept anything
+                # since we can't use ATLAS with LAPACK!
+                lapack_info = self._get_info_lapack()
+                if not lapack_info:
+                    return False
+                dict_append(info, **lapack_info)
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_accelerate(self):
+        info = get_info('accelerate')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _get_info_blas(self):
+        # Default to get the optimized BLAS implementation
+        info = get_info('blas_opt')
+        if not info:
+            warnings.warn(BlasNotFoundError.__doc__ or '', stacklevel=3)
+            info_src = get_info('blas_src')
+            if not info_src:
+                warnings.warn(BlasSrcNotFoundError.__doc__ or '', stacklevel=3)
+                return {}
+            dict_append(info, libraries=[('fblas_src', info_src)])
+        return info
+
+    def _get_info_lapack(self):
+        info = get_info('lapack')
+        if not info:
+            warnings.warn(LapackNotFoundError.__doc__ or '', stacklevel=3)
+            info_src = get_info('lapack_src')
+            if not info_src:
+                warnings.warn(LapackSrcNotFoundError.__doc__ or '', stacklevel=3)
+                return {}
+            dict_append(info, libraries=[('flapack_src', info_src)])
+        return info
+
+    def _calc_info_lapack(self):
+        info = self._get_info_lapack()
+        if info:
+            info_blas = self._get_info_blas()
+            dict_append(info, **info_blas)
+            dict_append(info, define_macros=[('NO_ATLAS_INFO', 1)])
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_from_envvar(self):
+        info = {}
+        info['language'] = 'f77'
+        info['libraries'] = []
+        info['include_dirs'] = []
+        info['define_macros'] = []
+        info['extra_link_args'] = os.environ['NPY_LAPACK_LIBS'].split()
+        self.set_info(**info)
+        return True
+
+    def _calc_info(self, name):
+        return getattr(self, '_calc_info_{}'.format(name))()
+
+    def calc_info(self):
+        lapack_order, unknown_order = _parse_env_order(self.lapack_order, self.order_env_var_name)
+        if len(unknown_order) > 0:
+            raise ValueError("lapack_opt_info user defined "
+                             "LAPACK order has unacceptable "
+                             "values: {}".format(unknown_order))
+
+        if 'NPY_LAPACK_LIBS' in os.environ:
+            # Bypass autodetection, set language to F77 and use env var linker
+            # flags directly
+            self._calc_info_from_envvar()
+            return
+
+        for lapack in lapack_order:
+            if self._calc_info(lapack):
+                return
+
+        if 'lapack' not in lapack_order:
+            # Since the user may request *not* to use any library, we still need
+            # to raise warnings to signal missing packages!
+            warnings.warn(LapackNotFoundError.__doc__ or '', stacklevel=2)
+            warnings.warn(LapackSrcNotFoundError.__doc__ or '', stacklevel=2)
+
+
+class _ilp64_opt_info_mixin:
+    symbol_suffix = None
+    symbol_prefix = None
+
+    def _check_info(self, info):
+        macros = dict(info.get('define_macros', []))
+        prefix = macros.get('BLAS_SYMBOL_PREFIX', '')
+        suffix = macros.get('BLAS_SYMBOL_SUFFIX', '')
+
+        if self.symbol_prefix not in (None, prefix):
+            return False
+
+        if self.symbol_suffix not in (None, suffix):
+            return False
+
+        return bool(info)
+
+
+class lapack_ilp64_opt_info(lapack_opt_info, _ilp64_opt_info_mixin):
+    notfounderror = LapackILP64NotFoundError
+    lapack_order = ['openblas64_', 'openblas_ilp64', 'accelerate']
+    order_env_var_name = 'NPY_LAPACK_ILP64_ORDER'
+
+    def _calc_info(self, name):
+        print('lapack_ilp64_opt_info._calc_info(name=%s)' % (name))
+        info = get_info(name + '_lapack')
+        if self._check_info(info):
+            self.set_info(**info)
+            return True
+        else:
+            print('%s_lapack does not exist' % (name))
+        return False
+
+
+class lapack_ilp64_plain_opt_info(lapack_ilp64_opt_info):
+    # Same as lapack_ilp64_opt_info, but fix symbol names
+    symbol_prefix = ''
+    symbol_suffix = ''
+
+
+class lapack64__opt_info(lapack_ilp64_opt_info):
+    symbol_prefix = ''
+    symbol_suffix = '64_'
+
+
+class blas_opt_info(system_info):
+    notfounderror = BlasNotFoundError
+    # List of all known BLAS libraries, in the default order
+
+    blas_order = ['armpl', 'mkl', 'ssl2', 'blis', 'openblas',
+                  'accelerate', 'atlas', 'blas']
+    order_env_var_name = 'NPY_BLAS_ORDER'
+    
+    def _calc_info_armpl(self):
+        info = get_info('blas_armpl')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_mkl(self):
+        info = get_info('blas_mkl')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_ssl2(self):
+        info = get_info('blas_ssl2')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_blis(self):
+        info = get_info('blis')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_openblas(self):
+        info = get_info('openblas')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_atlas(self):
+        info = get_info('atlas_3_10_blas_threads')
+        if not info:
+            info = get_info('atlas_3_10_blas')
+        if not info:
+            info = get_info('atlas_blas_threads')
+        if not info:
+            info = get_info('atlas_blas')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_accelerate(self):
+        info = get_info('accelerate')
+        if info:
+            self.set_info(**info)
+            return True
+        return False
+
+    def _calc_info_blas(self):
+        # Warn about a non-optimized BLAS library
+        warnings.warn(BlasOptNotFoundError.__doc__ or '', stacklevel=3)
+        info = {}
+        dict_append(info, define_macros=[('NO_ATLAS_INFO', 1)])
+
+        blas = get_info('blas')
+        if blas:
+            dict_append(info, **blas)
+        else:
+            # Not even BLAS was found!
+            warnings.warn(BlasNotFoundError.__doc__ or '', stacklevel=3)
+
+            blas_src = get_info('blas_src')
+            if not blas_src:
+                warnings.warn(BlasSrcNotFoundError.__doc__ or '', stacklevel=3)
+                return False
+            dict_append(info, libraries=[('fblas_src', blas_src)])
+
+        self.set_info(**info)
+        return True
+
+    def _calc_info_from_envvar(self):
+        info = {}
+        info['language'] = 'f77'
+        info['libraries'] = []
+        info['include_dirs'] = []
+        info['define_macros'] = []
+        info['extra_link_args'] = os.environ['NPY_BLAS_LIBS'].split()
+        if 'NPY_CBLAS_LIBS' in os.environ:
+            info['define_macros'].append(('HAVE_CBLAS', None))
+            info['extra_link_args'].extend(
+                                        os.environ['NPY_CBLAS_LIBS'].split())
+        self.set_info(**info)
+        return True
+
+    def _calc_info(self, name):
+        return getattr(self, '_calc_info_{}'.format(name))()
+
+    def calc_info(self):
+        blas_order, unknown_order = _parse_env_order(self.blas_order, self.order_env_var_name)
+        if len(unknown_order) > 0:
+            raise ValueError("blas_opt_info user defined BLAS order has unacceptable values: {}".format(unknown_order))
+
+        if 'NPY_BLAS_LIBS' in os.environ:
+            # Bypass autodetection, set language to F77 and use env var linker
+            # flags directly
+            self._calc_info_from_envvar()
+            return
+
+        for blas in blas_order:
+            if self._calc_info(blas):
+                return
+
+        if 'blas' not in blas_order:
+            # Since the user may request *not* to use any library, we still need
+            # to raise warnings to signal missing packages!
+            warnings.warn(BlasNotFoundError.__doc__ or '', stacklevel=2)
+            warnings.warn(BlasSrcNotFoundError.__doc__ or '', stacklevel=2)
+
+
+class blas_ilp64_opt_info(blas_opt_info, _ilp64_opt_info_mixin):
+    notfounderror = BlasILP64NotFoundError
+    blas_order = ['openblas64_', 'openblas_ilp64', 'accelerate']
+    order_env_var_name = 'NPY_BLAS_ILP64_ORDER'
+
+    def _calc_info(self, name):
+        info = get_info(name)
+        if self._check_info(info):
+            self.set_info(**info)
+            return True
+        return False
+
+
+class blas_ilp64_plain_opt_info(blas_ilp64_opt_info):
+    symbol_prefix = ''
+    symbol_suffix = ''
+
+
+class blas64__opt_info(blas_ilp64_opt_info):
+    symbol_prefix = ''
+    symbol_suffix = '64_'
+
+
+class cblas_info(system_info):
+    section = 'cblas'
+    dir_env_var = 'CBLAS'
+    # No default as it's used only in blas_info
+    _lib_names = []
+    notfounderror = BlasNotFoundError
+
+
+class blas_info(system_info):
+    section = 'blas'
+    dir_env_var = 'BLAS'
+    _lib_names = ['blas']
+    notfounderror = BlasNotFoundError
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        opt = self.get_option_single('blas_libs', 'libraries')
+        blas_libs = self.get_libs(opt, self._lib_names)
+        info = self.check_libs(lib_dirs, blas_libs, [])
+        if info is None:
+            return
+        else:
+            info['include_dirs'] = self.get_include_dirs()
+        if platform.system() == 'Windows':
+            # The check for windows is needed because get_cblas_libs uses the
+            # same compiler that was used to compile Python and msvc is
+            # often not installed when mingw is being used. This rough
+            # treatment is not desirable, but windows is tricky.
+            info['language'] = 'f77'  # XXX: is it generally true?
+            # If cblas is given as an option, use those
+            cblas_info_obj = cblas_info()
+            cblas_opt = cblas_info_obj.get_option_single('cblas_libs', 'libraries')
+            cblas_libs = cblas_info_obj.get_libs(cblas_opt, None)
+            if cblas_libs:
+                info['libraries'] = cblas_libs + blas_libs
+                info['define_macros'] = [('HAVE_CBLAS', None)]
+        else:
+            lib = self.get_cblas_libs(info)
+            if lib is not None:
+                info['language'] = 'c'
+                info['libraries'] = lib
+                info['define_macros'] = [('HAVE_CBLAS', None)]
+        self.set_info(**info)
+
+    def get_cblas_libs(self, info):
+        """ Check whether we can link with CBLAS interface
+
+        This method will search through several combinations of libraries
+        to check whether CBLAS is present:
+
+        1. Libraries in ``info['libraries']``, as is
+        2. As 1. but also explicitly adding ``'cblas'`` as a library
+        3. As 1. but also explicitly adding ``'blas'`` as a library
+        4. Check only library ``'cblas'``
+        5. Check only library ``'blas'``
+
+        Parameters
+        ----------
+        info : dict
+           system information dictionary for compilation and linking
+
+        Returns
+        -------
+        libraries : list of str or None
+            a list of libraries that enables the use of CBLAS interface.
+            Returns None if not found or a compilation error occurs.
+
+            Since 1.17 returns a list.
+        """
+        # primitive cblas check by looking for the header and trying to link
+        # cblas or blas
+        c = customized_ccompiler()
+        tmpdir = tempfile.mkdtemp()
+        s = textwrap.dedent("""\
+            #include 
+            int main(int argc, const char *argv[])
+            {
+                double a[4] = {1,2,3,4};
+                double b[4] = {5,6,7,8};
+                return cblas_ddot(4, a, 1, b, 1) > 10;
+            }""")
+        src = os.path.join(tmpdir, 'source.c')
+        try:
+            with open(src, 'w') as f:
+                f.write(s)
+
+            try:
+                # check we can compile (find headers)
+                obj = c.compile([src], output_dir=tmpdir,
+                                include_dirs=self.get_include_dirs())
+            except (distutils.ccompiler.CompileError, distutils.ccompiler.LinkError):
+                return None
+
+            # check we can link (find library)
+            # some systems have separate cblas and blas libs.
+            for libs in [info['libraries'], ['cblas'] + info['libraries'],
+                         ['blas'] + info['libraries'], ['cblas'], ['blas']]:
+                try:
+                    c.link_executable(obj, os.path.join(tmpdir, "a.out"),
+                                      libraries=libs,
+                                      library_dirs=info['library_dirs'],
+                                      extra_postargs=info.get('extra_link_args', []))
+                    return libs
+                except distutils.ccompiler.LinkError:
+                    pass
+        finally:
+            shutil.rmtree(tmpdir)
+        return None
+
+
+class openblas_info(blas_info):
+    section = 'openblas'
+    dir_env_var = 'OPENBLAS'
+    _lib_names = ['openblas']
+    _require_symbols = []
+    notfounderror = BlasNotFoundError
+
+    @property
+    def symbol_prefix(self):
+        try:
+            return self.cp.get(self.section, 'symbol_prefix')
+        except NoOptionError:
+            return ''
+
+    @property
+    def symbol_suffix(self):
+        try:
+            return self.cp.get(self.section, 'symbol_suffix')
+        except NoOptionError:
+            return ''
+
+    def _calc_info(self):
+        c = customized_ccompiler()
+
+        lib_dirs = self.get_lib_dirs()
+
+        # Prefer to use libraries over openblas_libs
+        opt = self.get_option_single('openblas_libs', 'libraries')
+        openblas_libs = self.get_libs(opt, self._lib_names)
+
+        info = self.check_libs(lib_dirs, openblas_libs, [])
+
+        if c.compiler_type == "msvc" and info is None:
+            from numpy.distutils.fcompiler import new_fcompiler
+            f = new_fcompiler(c_compiler=c)
+            if f and f.compiler_type == 'gnu95':
+                # Try gfortran-compatible library files
+                info = self.check_msvc_gfortran_libs(lib_dirs, openblas_libs)
+                # Skip lapack check, we'd need build_ext to do it
+                skip_symbol_check = True
+        elif info:
+            skip_symbol_check = False
+            info['language'] = 'c'
+
+        if info is None:
+            return None
+
+        # Add extra info for OpenBLAS
+        extra_info = self.calc_extra_info()
+        dict_append(info, **extra_info)
+
+        if not (skip_symbol_check or self.check_symbols(info)):
+            return None
+
+        info['define_macros'] = [('HAVE_CBLAS', None)]
+        if self.symbol_prefix:
+            info['define_macros'] += [('BLAS_SYMBOL_PREFIX', self.symbol_prefix)]
+        if self.symbol_suffix:
+            info['define_macros'] += [('BLAS_SYMBOL_SUFFIX', self.symbol_suffix)]
+
+        return info
+
+    def calc_info(self):
+        info = self._calc_info()
+        if info is not None:
+            self.set_info(**info)
+
+    def check_msvc_gfortran_libs(self, library_dirs, libraries):
+        # First, find the full path to each library directory
+        library_paths = []
+        for library in libraries:
+            for library_dir in library_dirs:
+                # MinGW static ext will be .a
+                fullpath = os.path.join(library_dir, library + '.a')
+                if os.path.isfile(fullpath):
+                    library_paths.append(fullpath)
+                    break
+            else:
+                return None
+
+        # Generate numpy.distutils virtual static library file
+        basename = self.__class__.__name__
+        tmpdir = os.path.join(os.getcwd(), 'build', basename)
+        if not os.path.isdir(tmpdir):
+            os.makedirs(tmpdir)
+
+        info = {'library_dirs': [tmpdir],
+                'libraries': [basename],
+                'language': 'f77'}
+
+        fake_lib_file = os.path.join(tmpdir, basename + '.fobjects')
+        fake_clib_file = os.path.join(tmpdir, basename + '.cobjects')
+        with open(fake_lib_file, 'w') as f:
+            f.write("\n".join(library_paths))
+        with open(fake_clib_file, 'w') as f:
+            pass
+
+        return info
+
+    def check_symbols(self, info):
+        res = False
+        c = customized_ccompiler()
+
+        tmpdir = tempfile.mkdtemp()
+
+        prototypes = "\n".join("void %s%s%s();" % (self.symbol_prefix,
+                                                   symbol_name,
+                                                   self.symbol_suffix)
+                               for symbol_name in self._require_symbols)
+        calls = "\n".join("%s%s%s();" % (self.symbol_prefix,
+                                         symbol_name,
+                                         self.symbol_suffix)
+                          for symbol_name in self._require_symbols)
+        s = textwrap.dedent("""\
+            %(prototypes)s
+            int main(int argc, const char *argv[])
+            {
+                %(calls)s
+                return 0;
+            }""") % dict(prototypes=prototypes, calls=calls)
+        src = os.path.join(tmpdir, 'source.c')
+        out = os.path.join(tmpdir, 'a.out')
+        # Add the additional "extra" arguments
+        try:
+            extra_args = info['extra_link_args']
+        except Exception:
+            extra_args = []
+        try:
+            with open(src, 'w') as f:
+                f.write(s)
+            obj = c.compile([src], output_dir=tmpdir)
+            try:
+                c.link_executable(obj, out, libraries=info['libraries'],
+                                  library_dirs=info['library_dirs'],
+                                  extra_postargs=extra_args)
+                res = True
+            except distutils.ccompiler.LinkError:
+                res = False
+        finally:
+            shutil.rmtree(tmpdir)
+        return res
+
+class openblas_lapack_info(openblas_info):
+    section = 'openblas'
+    dir_env_var = 'OPENBLAS'
+    _lib_names = ['openblas']
+    _require_symbols = ['zungqr_']
+    notfounderror = BlasNotFoundError
+
+class openblas_clapack_info(openblas_lapack_info):
+    _lib_names = ['openblas', 'lapack']
+
+class openblas_ilp64_info(openblas_info):
+    section = 'openblas_ilp64'
+    dir_env_var = 'OPENBLAS_ILP64'
+    _lib_names = ['openblas64']
+    _require_symbols = ['dgemm_', 'cblas_dgemm']
+    notfounderror = BlasILP64NotFoundError
+
+    def _calc_info(self):
+        info = super()._calc_info()
+        if info is not None:
+            info['define_macros'] += [('HAVE_BLAS_ILP64', None)]
+        return info
+
+class openblas_ilp64_lapack_info(openblas_ilp64_info):
+    _require_symbols = ['dgemm_', 'cblas_dgemm', 'zungqr_', 'LAPACKE_zungqr']
+
+    def _calc_info(self):
+        info = super()._calc_info()
+        if info:
+            info['define_macros'] += [('HAVE_LAPACKE', None)]
+        return info
+
+class openblas64__info(openblas_ilp64_info):
+    # ILP64 Openblas, with default symbol suffix
+    section = 'openblas64_'
+    dir_env_var = 'OPENBLAS64_'
+    _lib_names = ['openblas64_']
+    symbol_suffix = '64_'
+    symbol_prefix = ''
+
+class openblas64__lapack_info(openblas_ilp64_lapack_info, openblas64__info):
+    pass
+
+class blis_info(blas_info):
+    section = 'blis'
+    dir_env_var = 'BLIS'
+    _lib_names = ['blis']
+    notfounderror = BlasNotFoundError
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        opt = self.get_option_single('blis_libs', 'libraries')
+        blis_libs = self.get_libs(opt, self._lib_names)
+        info = self.check_libs2(lib_dirs, blis_libs, [])
+        if info is None:
+            return
+
+        # Add include dirs
+        incl_dirs = self.get_include_dirs()
+        dict_append(info,
+                    language='c',
+                    define_macros=[('HAVE_CBLAS', None)],
+                    include_dirs=incl_dirs)
+        self.set_info(**info)
+
+
+class flame_info(system_info):
+    """ Usage of libflame for LAPACK operations
+
+    This requires libflame to be compiled with lapack wrappers:
+
+    ./configure --enable-lapack2flame ...
+
+    Be aware that libflame 5.1.0 has some missing names in the shared library, so
+    if you have problems, try the static flame library.
+    """
+    section = 'flame'
+    _lib_names = ['flame']
+    notfounderror = FlameNotFoundError
+
+    def check_embedded_lapack(self, info):
+        """ libflame does not necessarily have a wrapper for fortran LAPACK, we need to check """
+        c = customized_ccompiler()
+
+        tmpdir = tempfile.mkdtemp()
+        s = textwrap.dedent("""\
+            void zungqr_();
+            int main(int argc, const char *argv[])
+            {
+                zungqr_();
+                return 0;
+            }""")
+        src = os.path.join(tmpdir, 'source.c')
+        out = os.path.join(tmpdir, 'a.out')
+        # Add the additional "extra" arguments
+        extra_args = info.get('extra_link_args', [])
+        try:
+            with open(src, 'w') as f:
+                f.write(s)
+            obj = c.compile([src], output_dir=tmpdir)
+            try:
+                c.link_executable(obj, out, libraries=info['libraries'],
+                                  library_dirs=info['library_dirs'],
+                                  extra_postargs=extra_args)
+                return True
+            except distutils.ccompiler.LinkError:
+                return False
+        finally:
+            shutil.rmtree(tmpdir)
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+        flame_libs = self.get_libs('libraries', self._lib_names)
+
+        info = self.check_libs2(lib_dirs, flame_libs, [])
+        if info is None:
+            return
+
+        # Add the extra flag args to info
+        extra_info = self.calc_extra_info()
+        dict_append(info, **extra_info)
+
+        if self.check_embedded_lapack(info):
+            # check if the user has supplied all information required
+            self.set_info(**info)
+        else:
+            # Try and get the BLAS lib to see if we can get it to work
+            blas_info = get_info('blas_opt')
+            if not blas_info:
+                # since we already failed once, this ain't going to work either
+                return
+
+            # Now we need to merge the two dictionaries
+            for key in blas_info:
+                if isinstance(blas_info[key], list):
+                    info[key] = info.get(key, []) + blas_info[key]
+                elif isinstance(blas_info[key], tuple):
+                    info[key] = info.get(key, ()) + blas_info[key]
+                else:
+                    info[key] = info.get(key, '') + blas_info[key]
+
+            # Now check again
+            if self.check_embedded_lapack(info):
+                self.set_info(**info)
+
+
+class accelerate_info(system_info):
+    section = 'accelerate'
+    _lib_names = ['accelerate', 'veclib']
+    notfounderror = BlasNotFoundError
+
+    def calc_info(self):
+        # Make possible to enable/disable from config file/env var
+        libraries = os.environ.get('ACCELERATE')
+        if libraries:
+            libraries = [libraries]
+        else:
+            libraries = self.get_libs('libraries', self._lib_names)
+        libraries = [lib.strip().lower() for lib in libraries]
+
+        if (sys.platform == 'darwin' and
+                not os.getenv('_PYTHON_HOST_PLATFORM', None)):
+            # Use the system BLAS from Accelerate or vecLib under OSX
+            args = []
+            link_args = []
+            if get_platform()[-4:] == 'i386' or 'intel' in get_platform() or \
+               'x86_64' in get_platform() or \
+               'i386' in platform.platform():
+                intel = 1
+            else:
+                intel = 0
+            if (os.path.exists('/System/Library/Frameworks'
+                              '/Accelerate.framework/') and
+                    'accelerate' in libraries):
+                if intel:
+                    args.extend(['-msse3'])
+                args.extend([
+                    '-I/System/Library/Frameworks/vecLib.framework/Headers'])
+                link_args.extend(['-Wl,-framework', '-Wl,Accelerate'])
+            elif (os.path.exists('/System/Library/Frameworks'
+                                 '/vecLib.framework/') and
+                      'veclib' in libraries):
+                if intel:
+                    args.extend(['-msse3'])
+                args.extend([
+                    '-I/System/Library/Frameworks/vecLib.framework/Headers'])
+                link_args.extend(['-Wl,-framework', '-Wl,vecLib'])
+
+            if args:
+                macros = [
+                    ('NO_ATLAS_INFO', 3),
+                    ('HAVE_CBLAS', None),
+                    ('ACCELERATE_NEW_LAPACK', None),
+                ]
+                if(os.getenv('NPY_USE_BLAS_ILP64', None)):
+                    print('Setting HAVE_BLAS_ILP64')
+                    macros += [
+                        ('HAVE_BLAS_ILP64', None),
+                        ('ACCELERATE_LAPACK_ILP64', None),
+                    ]
+                self.set_info(extra_compile_args=args,
+                              extra_link_args=link_args,
+                              define_macros=macros)
+
+        return
+
+class accelerate_lapack_info(accelerate_info):
+    def _calc_info(self):
+        return super()._calc_info()
+
+class blas_src_info(system_info):
+    # BLAS_SRC is deprecated, please do not use this!
+    # Build or install a BLAS library via your package manager or from
+    # source separately.
+    section = 'blas_src'
+    dir_env_var = 'BLAS_SRC'
+    notfounderror = BlasSrcNotFoundError
+
+    def get_paths(self, section, key):
+        pre_dirs = system_info.get_paths(self, section, key)
+        dirs = []
+        for d in pre_dirs:
+            dirs.extend([d] + self.combine_paths(d, ['blas']))
+        return [d for d in dirs if os.path.isdir(d)]
+
+    def calc_info(self):
+        src_dirs = self.get_src_dirs()
+        src_dir = ''
+        for d in src_dirs:
+            if os.path.isfile(os.path.join(d, 'daxpy.f')):
+                src_dir = d
+                break
+        if not src_dir:
+            #XXX: Get sources from netlib. May be ask first.
+            return
+        blas1 = '''
+        caxpy csscal dnrm2 dzasum saxpy srotg zdotc ccopy cswap drot
+        dznrm2 scasum srotm zdotu cdotc dasum drotg icamax scnrm2
+        srotmg zdrot cdotu daxpy drotm idamax scopy sscal zdscal crotg
+        dcabs1 drotmg isamax sdot sswap zrotg cscal dcopy dscal izamax
+        snrm2 zaxpy zscal csrot ddot dswap sasum srot zcopy zswap
+        scabs1
+        '''
+        blas2 = '''
+        cgbmv chpmv ctrsv dsymv dtrsv sspr2 strmv zhemv ztpmv cgemv
+        chpr dgbmv dsyr lsame ssymv strsv zher ztpsv cgerc chpr2 dgemv
+        dsyr2 sgbmv ssyr xerbla zher2 ztrmv cgeru ctbmv dger dtbmv
+        sgemv ssyr2 zgbmv zhpmv ztrsv chbmv ctbsv dsbmv dtbsv sger
+        stbmv zgemv zhpr chemv ctpmv dspmv dtpmv ssbmv stbsv zgerc
+        zhpr2 cher ctpsv dspr dtpsv sspmv stpmv zgeru ztbmv cher2
+        ctrmv dspr2 dtrmv sspr stpsv zhbmv ztbsv
+        '''
+        blas3 = '''
+        cgemm csymm ctrsm dsyrk sgemm strmm zhemm zsyr2k chemm csyr2k
+        dgemm dtrmm ssymm strsm zher2k zsyrk cher2k csyrk dsymm dtrsm
+        ssyr2k zherk ztrmm cherk ctrmm dsyr2k ssyrk zgemm zsymm ztrsm
+        '''
+        sources = [os.path.join(src_dir, f + '.f') \
+                   for f in (blas1 + blas2 + blas3).split()]
+        #XXX: should we check here actual existence of source files?
+        sources = [f for f in sources if os.path.isfile(f)]
+        info = {'sources': sources, 'language': 'f77'}
+        self.set_info(**info)
+
+
+class x11_info(system_info):
+    section = 'x11'
+    notfounderror = X11NotFoundError
+    _lib_names = ['X11']
+
+    def __init__(self):
+        system_info.__init__(self,
+                             default_lib_dirs=default_x11_lib_dirs,
+                             default_include_dirs=default_x11_include_dirs)
+
+    def calc_info(self):
+        if sys.platform  in ['win32']:
+            return
+        lib_dirs = self.get_lib_dirs()
+        include_dirs = self.get_include_dirs()
+        opt = self.get_option_single('x11_libs', 'libraries')
+        x11_libs = self.get_libs(opt, self._lib_names)
+        info = self.check_libs(lib_dirs, x11_libs, [])
+        if info is None:
+            return
+        inc_dir = None
+        for d in include_dirs:
+            if self.combine_paths(d, 'X11/X.h'):
+                inc_dir = d
+                break
+        if inc_dir is not None:
+            dict_append(info, include_dirs=[inc_dir])
+        self.set_info(**info)
+
+
+class _numpy_info(system_info):
+    section = 'Numeric'
+    modulename = 'Numeric'
+    notfounderror = NumericNotFoundError
+
+    def __init__(self):
+        include_dirs = []
+        try:
+            module = __import__(self.modulename)
+            prefix = []
+            for name in module.__file__.split(os.sep):
+                if name == 'lib':
+                    break
+                prefix.append(name)
+
+            # Ask numpy for its own include path before attempting
+            # anything else
+            try:
+                include_dirs.append(getattr(module, 'get_include')())
+            except AttributeError:
+                pass
+
+            include_dirs.append(sysconfig.get_path('include'))
+        except ImportError:
+            pass
+        py_incl_dir = sysconfig.get_path('include')
+        include_dirs.append(py_incl_dir)
+        py_pincl_dir = sysconfig.get_path('platinclude')
+        if py_pincl_dir not in include_dirs:
+            include_dirs.append(py_pincl_dir)
+        for d in default_include_dirs:
+            d = os.path.join(d, os.path.basename(py_incl_dir))
+            if d not in include_dirs:
+                include_dirs.append(d)
+        system_info.__init__(self,
+                             default_lib_dirs=[],
+                             default_include_dirs=include_dirs)
+
+    def calc_info(self):
+        try:
+            module = __import__(self.modulename)
+        except ImportError:
+            return
+        info = {}
+        macros = []
+        for v in ['__version__', 'version']:
+            vrs = getattr(module, v, None)
+            if vrs is None:
+                continue
+            macros = [(self.modulename.upper() + '_VERSION',
+                      _c_string_literal(vrs)),
+                      (self.modulename.upper(), None)]
+            break
+        dict_append(info, define_macros=macros)
+        include_dirs = self.get_include_dirs()
+        inc_dir = None
+        for d in include_dirs:
+            if self.combine_paths(d,
+                                  os.path.join(self.modulename,
+                                               'arrayobject.h')):
+                inc_dir = d
+                break
+        if inc_dir is not None:
+            dict_append(info, include_dirs=[inc_dir])
+        if info:
+            self.set_info(**info)
+        return
+
+
+class numarray_info(_numpy_info):
+    section = 'numarray'
+    modulename = 'numarray'
+
+
+class Numeric_info(_numpy_info):
+    section = 'Numeric'
+    modulename = 'Numeric'
+
+
+class numpy_info(_numpy_info):
+    section = 'numpy'
+    modulename = 'numpy'
+
+
+class numerix_info(system_info):
+    section = 'numerix'
+
+    def calc_info(self):
+        which = None, None
+        if os.getenv("NUMERIX"):
+            which = os.getenv("NUMERIX"), "environment var"
+        # If all the above fail, default to numpy.
+        if which[0] is None:
+            which = "numpy", "defaulted"
+            try:
+                import numpy  # noqa: F401
+                which = "numpy", "defaulted"
+            except ImportError as e:
+                msg1 = str(e)
+                try:
+                    import Numeric  # noqa: F401
+                    which = "numeric", "defaulted"
+                except ImportError as e:
+                    msg2 = str(e)
+                    try:
+                        import numarray  # noqa: F401
+                        which = "numarray", "defaulted"
+                    except ImportError as e:
+                        msg3 = str(e)
+                        log.info(msg1)
+                        log.info(msg2)
+                        log.info(msg3)
+        which = which[0].strip().lower(), which[1]
+        if which[0] not in ["numeric", "numarray", "numpy"]:
+            raise ValueError("numerix selector must be either 'Numeric' "
+                             "or 'numarray' or 'numpy' but the value obtained"
+                             " from the %s was '%s'." % (which[1], which[0]))
+        os.environ['NUMERIX'] = which[0]
+        self.set_info(**get_info(which[0]))
+
+
+class f2py_info(system_info):
+    def calc_info(self):
+        try:
+            import numpy.f2py as f2py
+        except ImportError:
+            return
+        f2py_dir = os.path.join(os.path.dirname(f2py.__file__), 'src')
+        self.set_info(sources=[os.path.join(f2py_dir, 'fortranobject.c')],
+                      include_dirs=[f2py_dir])
+        return
+
+
+class boost_python_info(system_info):
+    section = 'boost_python'
+    dir_env_var = 'BOOST'
+
+    def get_paths(self, section, key):
+        pre_dirs = system_info.get_paths(self, section, key)
+        dirs = []
+        for d in pre_dirs:
+            dirs.extend([d] + self.combine_paths(d, ['boost*']))
+        return [d for d in dirs if os.path.isdir(d)]
+
+    def calc_info(self):
+        src_dirs = self.get_src_dirs()
+        src_dir = ''
+        for d in src_dirs:
+            if os.path.isfile(os.path.join(d, 'libs', 'python', 'src',
+                                           'module.cpp')):
+                src_dir = d
+                break
+        if not src_dir:
+            return
+        py_incl_dirs = [sysconfig.get_path('include')]
+        py_pincl_dir = sysconfig.get_path('platinclude')
+        if py_pincl_dir not in py_incl_dirs:
+            py_incl_dirs.append(py_pincl_dir)
+        srcs_dir = os.path.join(src_dir, 'libs', 'python', 'src')
+        bpl_srcs = glob(os.path.join(srcs_dir, '*.cpp'))
+        bpl_srcs += glob(os.path.join(srcs_dir, '*', '*.cpp'))
+        info = {'libraries': [('boost_python_src',
+                               {'include_dirs': [src_dir] + py_incl_dirs,
+                                'sources':bpl_srcs}
+                              )],
+                'include_dirs': [src_dir],
+                }
+        if info:
+            self.set_info(**info)
+        return
+
+
+class agg2_info(system_info):
+    section = 'agg2'
+    dir_env_var = 'AGG2'
+
+    def get_paths(self, section, key):
+        pre_dirs = system_info.get_paths(self, section, key)
+        dirs = []
+        for d in pre_dirs:
+            dirs.extend([d] + self.combine_paths(d, ['agg2*']))
+        return [d for d in dirs if os.path.isdir(d)]
+
+    def calc_info(self):
+        src_dirs = self.get_src_dirs()
+        src_dir = ''
+        for d in src_dirs:
+            if os.path.isfile(os.path.join(d, 'src', 'agg_affine_matrix.cpp')):
+                src_dir = d
+                break
+        if not src_dir:
+            return
+        if sys.platform == 'win32':
+            agg2_srcs = glob(os.path.join(src_dir, 'src', 'platform',
+                                          'win32', 'agg_win32_bmp.cpp'))
+        else:
+            agg2_srcs = glob(os.path.join(src_dir, 'src', '*.cpp'))
+            agg2_srcs += [os.path.join(src_dir, 'src', 'platform',
+                                       'X11',
+                                       'agg_platform_support.cpp')]
+
+        info = {'libraries':
+                [('agg2_src',
+                  {'sources': agg2_srcs,
+                   'include_dirs': [os.path.join(src_dir, 'include')],
+                  }
+                 )],
+                'include_dirs': [os.path.join(src_dir, 'include')],
+                }
+        if info:
+            self.set_info(**info)
+        return
+
+
+class _pkg_config_info(system_info):
+    section = None
+    config_env_var = 'PKG_CONFIG'
+    default_config_exe = 'pkg-config'
+    append_config_exe = ''
+    version_macro_name = None
+    release_macro_name = None
+    version_flag = '--modversion'
+    cflags_flag = '--cflags'
+
+    def get_config_exe(self):
+        if self.config_env_var in os.environ:
+            return os.environ[self.config_env_var]
+        return self.default_config_exe
+
+    def get_config_output(self, config_exe, option):
+        cmd = config_exe + ' ' + self.append_config_exe + ' ' + option
+        try:
+            o = subprocess.check_output(cmd)
+        except (OSError, subprocess.CalledProcessError):
+            pass
+        else:
+            o = filepath_from_subprocess_output(o)
+            return o
+
+    def calc_info(self):
+        config_exe = find_executable(self.get_config_exe())
+        if not config_exe:
+            log.warn('File not found: %s. Cannot determine %s info.' \
+                  % (config_exe, self.section))
+            return
+        info = {}
+        macros = []
+        libraries = []
+        library_dirs = []
+        include_dirs = []
+        extra_link_args = []
+        extra_compile_args = []
+        version = self.get_config_output(config_exe, self.version_flag)
+        if version:
+            macros.append((self.__class__.__name__.split('.')[-1].upper(),
+                           _c_string_literal(version)))
+            if self.version_macro_name:
+                macros.append((self.version_macro_name + '_%s'
+                               % (version.replace('.', '_')), None))
+        if self.release_macro_name:
+            release = self.get_config_output(config_exe, '--release')
+            if release:
+                macros.append((self.release_macro_name + '_%s'
+                               % (release.replace('.', '_')), None))
+        opts = self.get_config_output(config_exe, '--libs')
+        if opts:
+            for opt in opts.split():
+                if opt[:2] == '-l':
+                    libraries.append(opt[2:])
+                elif opt[:2] == '-L':
+                    library_dirs.append(opt[2:])
+                else:
+                    extra_link_args.append(opt)
+        opts = self.get_config_output(config_exe, self.cflags_flag)
+        if opts:
+            for opt in opts.split():
+                if opt[:2] == '-I':
+                    include_dirs.append(opt[2:])
+                elif opt[:2] == '-D':
+                    if '=' in opt:
+                        n, v = opt[2:].split('=')
+                        macros.append((n, v))
+                    else:
+                        macros.append((opt[2:], None))
+                else:
+                    extra_compile_args.append(opt)
+        if macros:
+            dict_append(info, define_macros=macros)
+        if libraries:
+            dict_append(info, libraries=libraries)
+        if library_dirs:
+            dict_append(info, library_dirs=library_dirs)
+        if include_dirs:
+            dict_append(info, include_dirs=include_dirs)
+        if extra_link_args:
+            dict_append(info, extra_link_args=extra_link_args)
+        if extra_compile_args:
+            dict_append(info, extra_compile_args=extra_compile_args)
+        if info:
+            self.set_info(**info)
+        return
+
+
+class wx_info(_pkg_config_info):
+    section = 'wx'
+    config_env_var = 'WX_CONFIG'
+    default_config_exe = 'wx-config'
+    append_config_exe = ''
+    version_macro_name = 'WX_VERSION'
+    release_macro_name = 'WX_RELEASE'
+    version_flag = '--version'
+    cflags_flag = '--cxxflags'
+
+
+class gdk_pixbuf_xlib_2_info(_pkg_config_info):
+    section = 'gdk_pixbuf_xlib_2'
+    append_config_exe = 'gdk-pixbuf-xlib-2.0'
+    version_macro_name = 'GDK_PIXBUF_XLIB_VERSION'
+
+
+class gdk_pixbuf_2_info(_pkg_config_info):
+    section = 'gdk_pixbuf_2'
+    append_config_exe = 'gdk-pixbuf-2.0'
+    version_macro_name = 'GDK_PIXBUF_VERSION'
+
+
+class gdk_x11_2_info(_pkg_config_info):
+    section = 'gdk_x11_2'
+    append_config_exe = 'gdk-x11-2.0'
+    version_macro_name = 'GDK_X11_VERSION'
+
+
+class gdk_2_info(_pkg_config_info):
+    section = 'gdk_2'
+    append_config_exe = 'gdk-2.0'
+    version_macro_name = 'GDK_VERSION'
+
+
+class gdk_info(_pkg_config_info):
+    section = 'gdk'
+    append_config_exe = 'gdk'
+    version_macro_name = 'GDK_VERSION'
+
+
+class gtkp_x11_2_info(_pkg_config_info):
+    section = 'gtkp_x11_2'
+    append_config_exe = 'gtk+-x11-2.0'
+    version_macro_name = 'GTK_X11_VERSION'
+
+
+class gtkp_2_info(_pkg_config_info):
+    section = 'gtkp_2'
+    append_config_exe = 'gtk+-2.0'
+    version_macro_name = 'GTK_VERSION'
+
+
+class xft_info(_pkg_config_info):
+    section = 'xft'
+    append_config_exe = 'xft'
+    version_macro_name = 'XFT_VERSION'
+
+
+class freetype2_info(_pkg_config_info):
+    section = 'freetype2'
+    append_config_exe = 'freetype2'
+    version_macro_name = 'FREETYPE2_VERSION'
+
+
+class amd_info(system_info):
+    section = 'amd'
+    dir_env_var = 'AMD'
+    _lib_names = ['amd']
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+
+        opt = self.get_option_single('amd_libs', 'libraries')
+        amd_libs = self.get_libs(opt, self._lib_names)
+        info = self.check_libs(lib_dirs, amd_libs, [])
+        if info is None:
+            return
+
+        include_dirs = self.get_include_dirs()
+
+        inc_dir = None
+        for d in include_dirs:
+            p = self.combine_paths(d, 'amd.h')
+            if p:
+                inc_dir = os.path.dirname(p[0])
+                break
+        if inc_dir is not None:
+            dict_append(info, include_dirs=[inc_dir],
+                        define_macros=[('SCIPY_AMD_H', None)],
+                        swig_opts=['-I' + inc_dir])
+
+        self.set_info(**info)
+        return
+
+
+class umfpack_info(system_info):
+    section = 'umfpack'
+    dir_env_var = 'UMFPACK'
+    notfounderror = UmfpackNotFoundError
+    _lib_names = ['umfpack']
+
+    def calc_info(self):
+        lib_dirs = self.get_lib_dirs()
+
+        opt = self.get_option_single('umfpack_libs', 'libraries')
+        umfpack_libs = self.get_libs(opt, self._lib_names)
+        info = self.check_libs(lib_dirs, umfpack_libs, [])
+        if info is None:
+            return
+
+        include_dirs = self.get_include_dirs()
+
+        inc_dir = None
+        for d in include_dirs:
+            p = self.combine_paths(d, ['', 'umfpack'], 'umfpack.h')
+            if p:
+                inc_dir = os.path.dirname(p[0])
+                break
+        if inc_dir is not None:
+            dict_append(info, include_dirs=[inc_dir],
+                        define_macros=[('SCIPY_UMFPACK_H', None)],
+                        swig_opts=['-I' + inc_dir])
+
+        dict_append(info, **get_info('amd'))
+
+        self.set_info(**info)
+        return
+
+
+def combine_paths(*args, **kws):
+    """ Return a list of existing paths composed by all combinations of
+        items from arguments.
+    """
+    r = []
+    for a in args:
+        if not a:
+            continue
+        if is_string(a):
+            a = [a]
+        r.append(a)
+    args = r
+    if not args:
+        return []
+    if len(args) == 1:
+        result = reduce(lambda a, b: a + b, map(glob, args[0]), [])
+    elif len(args) == 2:
+        result = []
+        for a0 in args[0]:
+            for a1 in args[1]:
+                result.extend(glob(os.path.join(a0, a1)))
+    else:
+        result = combine_paths(*(combine_paths(args[0], args[1]) + args[2:]))
+    log.debug('(paths: %s)', ','.join(result))
+    return result
+
+language_map = {'c': 0, 'c++': 1, 'f77': 2, 'f90': 3}
+inv_language_map = {0: 'c', 1: 'c++', 2: 'f77', 3: 'f90'}
+
+
+def dict_append(d, **kws):
+    languages = []
+    for k, v in kws.items():
+        if k == 'language':
+            languages.append(v)
+            continue
+        if k in d:
+            if k in ['library_dirs', 'include_dirs',
+                     'extra_compile_args', 'extra_link_args',
+                     'runtime_library_dirs', 'define_macros']:
+                [d[k].append(vv) for vv in v if vv not in d[k]]
+            else:
+                d[k].extend(v)
+        else:
+            d[k] = v
+    if languages:
+        l = inv_language_map[max([language_map.get(l, 0) for l in languages])]
+        d['language'] = l
+    return
+
+
+def parseCmdLine(argv=(None,)):
+    import optparse
+    parser = optparse.OptionParser("usage: %prog [-v] [info objs]")
+    parser.add_option('-v', '--verbose', action='store_true', dest='verbose',
+                      default=False,
+                      help='be verbose and print more messages')
+
+    opts, args = parser.parse_args(args=argv[1:])
+    return opts, args
+
+
+def show_all(argv=None):
+    import inspect
+    if argv is None:
+        argv = sys.argv
+    opts, args = parseCmdLine(argv)
+    if opts.verbose:
+        log.set_threshold(log.DEBUG)
+    else:
+        log.set_threshold(log.INFO)
+    show_only = []
+    for n in args:
+        if n[-5:] != '_info':
+            n = n + '_info'
+        show_only.append(n)
+    show_all = not show_only
+    _gdict_ = globals().copy()
+    for name, c in _gdict_.items():
+        if not inspect.isclass(c):
+            continue
+        if not issubclass(c, system_info) or c is system_info:
+            continue
+        if not show_all:
+            if name not in show_only:
+                continue
+            del show_only[show_only.index(name)]
+        conf = c()
+        conf.verbosity = 2
+        # we don't need the result, but we want
+        # the side effect of printing diagnostics
+        conf.get_info()
+    if show_only:
+        log.info('Info classes not defined: %s', ','.join(show_only))
+
+if __name__ == "__main__":
+    show_all()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_build_ext.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_build_ext.py
new file mode 100644
index 0000000000000000000000000000000000000000..7124cc407a2f5eef3d67d1eea594fcf9f596f8d2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_build_ext.py
@@ -0,0 +1,74 @@
+'''Tests for numpy.distutils.build_ext.'''
+
+import os
+import subprocess
+import sys
+from textwrap import indent, dedent
+import pytest
+from numpy.testing import IS_WASM
+
+@pytest.mark.skipif(IS_WASM, reason="cannot start subprocess in wasm")
+@pytest.mark.slow
+def test_multi_fortran_libs_link(tmp_path):
+    '''
+    Ensures multiple "fake" static libraries are correctly linked.
+    see gh-18295
+    '''
+
+    # We need to make sure we actually have an f77 compiler.
+    # This is nontrivial, so we'll borrow the utilities
+    # from f2py tests:
+    from numpy.distutils.tests.utilities import has_f77_compiler
+    if not has_f77_compiler():
+        pytest.skip('No F77 compiler found')
+
+    # make some dummy sources
+    with open(tmp_path / '_dummy1.f', 'w') as fid:
+        fid.write(indent(dedent('''\
+            FUNCTION dummy_one()
+            RETURN
+            END FUNCTION'''), prefix=' '*6))
+    with open(tmp_path / '_dummy2.f', 'w') as fid:
+        fid.write(indent(dedent('''\
+            FUNCTION dummy_two()
+            RETURN
+            END FUNCTION'''), prefix=' '*6))
+    with open(tmp_path / '_dummy.c', 'w') as fid:
+        # doesn't need to load - just needs to exist
+        fid.write('int PyInit_dummyext;')
+
+    # make a setup file
+    with open(tmp_path / 'setup.py', 'w') as fid:
+        srctree = os.path.join(os.path.dirname(__file__), '..', '..', '..')
+        fid.write(dedent(f'''\
+            def configuration(parent_package="", top_path=None):
+                from numpy.distutils.misc_util import Configuration
+                config = Configuration("", parent_package, top_path)
+                config.add_library("dummy1", sources=["_dummy1.f"])
+                config.add_library("dummy2", sources=["_dummy2.f"])
+                config.add_extension("dummyext", sources=["_dummy.c"], libraries=["dummy1", "dummy2"])
+                return config
+
+
+            if __name__ == "__main__":
+                import sys
+                sys.path.insert(0, r"{srctree}")
+                from numpy.distutils.core import setup
+                setup(**configuration(top_path="").todict())'''))
+
+    # build the test extension and "install" into a temporary directory
+    build_dir = tmp_path
+    subprocess.check_call([sys.executable, 'setup.py', 'build', 'install',
+                           '--prefix', str(tmp_path / 'installdir'),
+                           '--record', str(tmp_path / 'tmp_install_log.txt'),
+                          ],
+                          cwd=str(build_dir),
+                      )
+    # get the path to the so
+    so = None
+    with open(tmp_path /'tmp_install_log.txt') as fid:
+        for line in fid:
+            if 'dummyext' in line:
+                so = line.strip()
+                break
+    assert so is not None
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_ccompiler_opt.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_ccompiler_opt.py
new file mode 100644
index 0000000000000000000000000000000000000000..3714aea0e12e05ac8346e51d169664e9c62f4293
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_ccompiler_opt.py
@@ -0,0 +1,808 @@
+import re, textwrap, os
+from os import sys, path
+from distutils.errors import DistutilsError
+
+is_standalone = __name__ == '__main__' and __package__ is None
+if is_standalone:
+    import unittest, contextlib, tempfile, shutil
+    sys.path.append(path.abspath(path.join(path.dirname(__file__), "..")))
+    from ccompiler_opt import CCompilerOpt
+
+    # from numpy/testing/_private/utils.py
+    @contextlib.contextmanager
+    def tempdir(*args, **kwargs):
+        tmpdir = tempfile.mkdtemp(*args, **kwargs)
+        try:
+            yield tmpdir
+        finally:
+            shutil.rmtree(tmpdir)
+
+    def assert_(expr, msg=''):
+        if not expr:
+            raise AssertionError(msg)
+else:
+    from numpy.distutils.ccompiler_opt import CCompilerOpt
+    from numpy.testing import assert_, tempdir
+
+# architectures and compilers to test
+arch_compilers = dict(
+    x86 = ("gcc", "clang", "icc", "iccw", "msvc"),
+    x64 = ("gcc", "clang", "icc", "iccw", "msvc"),
+    ppc64 = ("gcc", "clang"),
+    ppc64le = ("gcc", "clang"),
+    armhf = ("gcc", "clang"),
+    aarch64 = ("gcc", "clang", "fcc"),
+    s390x = ("gcc", "clang"),
+    noarch = ("gcc",)
+)
+
+class FakeCCompilerOpt(CCompilerOpt):
+    fake_info = ""
+    def __init__(self, trap_files="", trap_flags="", *args, **kwargs):
+        self.fake_trap_files = trap_files
+        self.fake_trap_flags = trap_flags
+        CCompilerOpt.__init__(self, None, **kwargs)
+
+    def __repr__(self):
+        return textwrap.dedent("""\
+            <<<<
+            march    : {}
+            compiler : {}
+            ----------------
+            {}
+            >>>>
+        """).format(self.cc_march, self.cc_name, self.report())
+
+    def dist_compile(self, sources, flags, **kwargs):
+        assert(isinstance(sources, list))
+        assert(isinstance(flags, list))
+        if self.fake_trap_files:
+            for src in sources:
+                if re.match(self.fake_trap_files, src):
+                    self.dist_error("source is trapped by a fake interface")
+        if self.fake_trap_flags:
+            for f in flags:
+                if re.match(self.fake_trap_flags, f):
+                    self.dist_error("flag is trapped by a fake interface")
+        # fake objects
+        return zip(sources, [' '.join(flags)] * len(sources))
+
+    def dist_info(self):
+        return FakeCCompilerOpt.fake_info
+
+    @staticmethod
+    def dist_log(*args, stderr=False):
+        pass
+
+class _Test_CCompilerOpt:
+    arch = None # x86_64
+    cc   = None # gcc
+
+    def setup_class(self):
+        FakeCCompilerOpt.conf_nocache = True
+        self._opt = None
+
+    def nopt(self, *args, **kwargs):
+        FakeCCompilerOpt.fake_info = (self.arch, self.cc, "")
+        return FakeCCompilerOpt(*args, **kwargs)
+
+    def opt(self):
+        if not self._opt:
+            self._opt = self.nopt()
+        return self._opt
+
+    def march(self):
+        return self.opt().cc_march
+
+    def cc_name(self):
+        return self.opt().cc_name
+
+    def get_targets(self, targets, groups, **kwargs):
+        FakeCCompilerOpt.conf_target_groups = groups
+        opt = self.nopt(
+            cpu_baseline=kwargs.get("baseline", "min"),
+            cpu_dispatch=kwargs.get("dispatch", "max"),
+            trap_files=kwargs.get("trap_files", ""),
+            trap_flags=kwargs.get("trap_flags", "")
+        )
+        with tempdir() as tmpdir:
+            file = os.path.join(tmpdir, "test_targets.c")
+            with open(file, 'w') as f:
+                f.write(targets)
+            gtargets = []
+            gflags = {}
+            fake_objects = opt.try_dispatch([file])
+            for source, flags in fake_objects:
+                gtar = path.basename(source).split('.')[1:-1]
+                glen = len(gtar)
+                if glen == 0:
+                    gtar = "baseline"
+                elif glen == 1:
+                    gtar = gtar[0].upper()
+                else:
+                    # converting multi-target into parentheses str format to be equivalent
+                    # to the configuration statements syntax.
+                    gtar = ('('+' '.join(gtar)+')').upper()
+                gtargets.append(gtar)
+                gflags[gtar] = flags
+
+        has_baseline, targets = opt.sources_status[file]
+        targets = targets + ["baseline"] if has_baseline else targets
+        # convert tuple that represent multi-target into parentheses str format
+        targets = [
+            '('+' '.join(tar)+')' if isinstance(tar, tuple) else tar
+            for tar in targets
+        ]
+        if len(targets) != len(gtargets) or not all(t in gtargets for t in targets):
+            raise AssertionError(
+                "'sources_status' returns different targets than the compiled targets\n"
+                "%s != %s" % (targets, gtargets)
+            )
+        # return targets from 'sources_status' since the order is matters
+        return targets, gflags
+
+    def arg_regex(self, **kwargs):
+        map2origin = dict(
+            x64 = "x86",
+            ppc64le = "ppc64",
+            aarch64 = "armhf",
+            clang = "gcc",
+        )
+        march = self.march(); cc_name = self.cc_name()
+        map_march = map2origin.get(march, march)
+        map_cc = map2origin.get(cc_name, cc_name)
+        for key in (
+            march, cc_name, map_march, map_cc,
+            march + '_' + cc_name,
+            map_march + '_' + cc_name,
+            march + '_' + map_cc,
+            map_march + '_' + map_cc,
+        ) :
+            regex = kwargs.pop(key, None)
+            if regex is not None:
+                break
+        if regex:
+            if isinstance(regex, dict):
+                for k, v in regex.items():
+                    if v[-1:] not in ')}$?\\.+*':
+                        regex[k] = v + '$'
+            else:
+                assert(isinstance(regex, str))
+                if regex[-1:] not in ')}$?\\.+*':
+                    regex += '$'
+        return regex
+
+    def expect(self, dispatch, baseline="", **kwargs):
+        match = self.arg_regex(**kwargs)
+        if match is None:
+            return
+        opt = self.nopt(
+            cpu_baseline=baseline, cpu_dispatch=dispatch,
+            trap_files=kwargs.get("trap_files", ""),
+            trap_flags=kwargs.get("trap_flags", "")
+        )
+        features = ' '.join(opt.cpu_dispatch_names())
+        if not match:
+            if len(features) != 0:
+                raise AssertionError(
+                    'expected empty features, not "%s"' % features
+                )
+            return
+        if not re.match(match, features, re.IGNORECASE):
+            raise AssertionError(
+                'dispatch features "%s" not match "%s"' % (features, match)
+            )
+
+    def expect_baseline(self, baseline, dispatch="", **kwargs):
+        match = self.arg_regex(**kwargs)
+        if match is None:
+            return
+        opt = self.nopt(
+            cpu_baseline=baseline, cpu_dispatch=dispatch,
+            trap_files=kwargs.get("trap_files", ""),
+            trap_flags=kwargs.get("trap_flags", "")
+        )
+        features = ' '.join(opt.cpu_baseline_names())
+        if not match:
+            if len(features) != 0:
+                raise AssertionError(
+                    'expected empty features, not "%s"' % features
+                )
+            return
+        if not re.match(match, features, re.IGNORECASE):
+            raise AssertionError(
+                'baseline features "%s" not match "%s"' % (features, match)
+            )
+
+    def expect_flags(self, baseline, dispatch="", **kwargs):
+        match = self.arg_regex(**kwargs)
+        if match is None:
+            return
+        opt = self.nopt(
+            cpu_baseline=baseline, cpu_dispatch=dispatch,
+            trap_files=kwargs.get("trap_files", ""),
+            trap_flags=kwargs.get("trap_flags", "")
+        )
+        flags = ' '.join(opt.cpu_baseline_flags())
+        if not match:
+            if len(flags) != 0:
+                raise AssertionError(
+                    'expected empty flags not "%s"' % flags
+                )
+            return
+        if not re.match(match, flags):
+            raise AssertionError(
+                'flags "%s" not match "%s"' % (flags, match)
+            )
+
+    def expect_targets(self, targets, groups={}, **kwargs):
+        match = self.arg_regex(**kwargs)
+        if match is None:
+            return
+        targets, _ = self.get_targets(targets=targets, groups=groups, **kwargs)
+        targets = ' '.join(targets)
+        if not match:
+            if len(targets) != 0:
+                raise AssertionError(
+                    'expected empty targets, not "%s"' % targets
+                )
+            return
+        if not re.match(match, targets, re.IGNORECASE):
+            raise AssertionError(
+                'targets "%s" not match "%s"' % (targets, match)
+            )
+
+    def expect_target_flags(self, targets, groups={}, **kwargs):
+        match_dict = self.arg_regex(**kwargs)
+        if match_dict is None:
+            return
+        assert(isinstance(match_dict, dict))
+        _, tar_flags = self.get_targets(targets=targets, groups=groups)
+
+        for match_tar, match_flags in match_dict.items():
+            if match_tar not in tar_flags:
+                raise AssertionError(
+                    'expected to find target "%s"' % match_tar
+                )
+            flags = tar_flags[match_tar]
+            if not match_flags:
+                if len(flags) != 0:
+                    raise AssertionError(
+                        'expected to find empty flags in target "%s"' % match_tar
+                    )
+            if not re.match(match_flags, flags):
+                raise AssertionError(
+                    '"%s" flags "%s" not match "%s"' % (match_tar, flags, match_flags)
+                )
+
+    def test_interface(self):
+        wrong_arch = "ppc64" if self.arch != "ppc64" else "x86"
+        wrong_cc   = "clang" if self.cc   != "clang" else "icc"
+        opt = self.opt()
+        assert_(getattr(opt, "cc_on_" + self.arch))
+        assert_(not getattr(opt, "cc_on_" + wrong_arch))
+        assert_(getattr(opt, "cc_is_" + self.cc))
+        assert_(not getattr(opt, "cc_is_" + wrong_cc))
+
+    def test_args_empty(self):
+        for baseline, dispatch in (
+            ("", "none"),
+            (None, ""),
+            ("none +none", "none - none"),
+            ("none -max", "min - max"),
+            ("+vsx2 -VSX2", "vsx avx2 avx512f -max"),
+            ("max -vsx - avx + avx512f neon -MAX ",
+             "min -min + max -max -vsx + avx2 -avx2 +NONE")
+        ) :
+            opt = self.nopt(cpu_baseline=baseline, cpu_dispatch=dispatch)
+            assert(len(opt.cpu_baseline_names()) == 0)
+            assert(len(opt.cpu_dispatch_names()) == 0)
+
+    def test_args_validation(self):
+        if self.march() == "unknown":
+            return
+        # check sanity of argument's validation
+        for baseline, dispatch in (
+            ("unkown_feature - max +min", "unknown max min"), # unknowing features
+            ("#avx2", "$vsx") # groups and polices aren't acceptable
+        ) :
+            try:
+                self.nopt(cpu_baseline=baseline, cpu_dispatch=dispatch)
+                raise AssertionError("excepted an exception for invalid arguments")
+            except DistutilsError:
+                pass
+
+    def test_skip(self):
+        # only takes what platform supports and skip the others
+        # without casing exceptions
+        self.expect(
+            "sse vsx neon",
+            x86="sse", ppc64="vsx", armhf="neon", unknown=""
+        )
+        self.expect(
+            "sse41 avx avx2 vsx2 vsx3 neon_vfpv4 asimd",
+            x86   = "sse41 avx avx2",
+            ppc64 = "vsx2 vsx3",
+            armhf = "neon_vfpv4 asimd",
+            unknown = ""
+        )
+        # any features in cpu_dispatch must be ignored if it's part of baseline
+        self.expect(
+            "sse neon vsx", baseline="sse neon vsx",
+            x86="", ppc64="", armhf=""
+        )
+        self.expect(
+            "avx2 vsx3 asimdhp", baseline="avx2 vsx3 asimdhp",
+            x86="", ppc64="", armhf=""
+        )
+
+    def test_implies(self):
+        # baseline combining implied features, so we count
+        # on it instead of testing 'feature_implies()'' directly
+        self.expect_baseline(
+            "fma3 avx2 asimd vsx3",
+            # .* between two spaces can validate features in between
+            x86   = "sse .* sse41 .* fma3.*avx2",
+            ppc64 = "vsx vsx2 vsx3",
+            armhf = "neon neon_fp16 neon_vfpv4 asimd"
+        )
+        """
+        special cases
+        """
+        # in icc and msvc, FMA3 and AVX2 can't be separated
+        # both need to implies each other, same for avx512f & cd
+        for f0, f1 in (
+            ("fma3",    "avx2"),
+            ("avx512f", "avx512cd"),
+        ):
+            diff = ".* sse42 .* %s .*%s$" % (f0, f1)
+            self.expect_baseline(f0,
+                x86_gcc=".* sse42 .* %s$" % f0,
+                x86_icc=diff, x86_iccw=diff
+            )
+            self.expect_baseline(f1,
+                x86_gcc=".* avx .* %s$" % f1,
+                x86_icc=diff, x86_iccw=diff
+            )
+        # in msvc, following features can't be separated too
+        for f in (("fma3", "avx2"), ("avx512f", "avx512cd", "avx512_skx")):
+            for ff in f:
+                self.expect_baseline(ff,
+                    x86_msvc=".*%s" % ' '.join(f)
+                )
+
+        # in ppc64le VSX and VSX2 can't be separated
+        self.expect_baseline("vsx", ppc64le="vsx vsx2")
+        # in aarch64 following features can't be separated
+        for f in ("neon", "neon_fp16", "neon_vfpv4", "asimd"):
+            self.expect_baseline(f, aarch64="neon neon_fp16 neon_vfpv4 asimd")
+
+    def test_args_options(self):
+        # max & native
+        for o in ("max", "native"):
+            if o == "native" and self.cc_name() == "msvc":
+                continue
+            self.expect(o,
+                trap_files=".*cpu_(sse|vsx|neon|vx).c",
+                x86="", ppc64="", armhf="", s390x=""
+            )
+            self.expect(o,
+                trap_files=".*cpu_(sse3|vsx2|neon_vfpv4|vxe).c",
+                x86="sse sse2", ppc64="vsx", armhf="neon neon_fp16",
+                aarch64="", ppc64le="", s390x="vx"
+            )
+            self.expect(o,
+                trap_files=".*cpu_(popcnt|vsx3).c",
+                x86="sse .* sse41", ppc64="vsx vsx2",
+                armhf="neon neon_fp16 .* asimd .*",
+                s390x="vx vxe vxe2"
+            )
+            self.expect(o,
+                x86_gcc=".* xop fma4 .* avx512f .* avx512_knl avx512_knm avx512_skx .*",
+                # in icc, xop and fam4 aren't supported
+                x86_icc=".* avx512f .* avx512_knl avx512_knm avx512_skx .*",
+                x86_iccw=".* avx512f .* avx512_knl avx512_knm avx512_skx .*",
+                # in msvc, avx512_knl avx512_knm aren't supported
+                x86_msvc=".* xop fma4 .* avx512f .* avx512_skx .*",
+                armhf=".* asimd asimdhp asimddp .*",
+                ppc64="vsx vsx2 vsx3 vsx4.*",
+                s390x="vx vxe vxe2.*"
+            )
+        # min
+        self.expect("min",
+            x86="sse sse2", x64="sse sse2 sse3",
+            armhf="", aarch64="neon neon_fp16 .* asimd",
+            ppc64="", ppc64le="vsx vsx2", s390x=""
+        )
+        self.expect(
+            "min", trap_files=".*cpu_(sse2|vsx2).c",
+            x86="", ppc64le=""
+        )
+        # an exception must triggered if native flag isn't supported
+        # when option "native" is activated through the args
+        try:
+            self.expect("native",
+                trap_flags=".*(-march=native|-xHost|/QxHost|-mcpu=a64fx).*",
+                x86=".*", ppc64=".*", armhf=".*", s390x=".*", aarch64=".*",
+            )
+            if self.march() != "unknown":
+                raise AssertionError(
+                    "excepted an exception for %s" % self.march()
+                )
+        except DistutilsError:
+            if self.march() == "unknown":
+                raise AssertionError("excepted no exceptions")
+
+    def test_flags(self):
+        self.expect_flags(
+            "sse sse2 vsx vsx2 neon neon_fp16 vx vxe",
+            x86_gcc="-msse -msse2", x86_icc="-msse -msse2",
+            x86_iccw="/arch:SSE2",
+            x86_msvc="/arch:SSE2" if self.march() == "x86" else "",
+            ppc64_gcc= "-mcpu=power8",
+            ppc64_clang="-mcpu=power8",
+            armhf_gcc="-mfpu=neon-fp16 -mfp16-format=ieee",
+            aarch64="",
+            s390x="-mzvector -march=arch12"
+        )
+        # testing normalize -march
+        self.expect_flags(
+            "asimd",
+            aarch64="",
+            armhf_gcc=r"-mfp16-format=ieee -mfpu=neon-fp-armv8 -march=armv8-a\+simd"
+        )
+        self.expect_flags(
+            "asimdhp",
+            aarch64_gcc=r"-march=armv8.2-a\+fp16",
+            armhf_gcc=r"-mfp16-format=ieee -mfpu=neon-fp-armv8 -march=armv8.2-a\+fp16"
+        )
+        self.expect_flags(
+            "asimddp", aarch64_gcc=r"-march=armv8.2-a\+dotprod"
+        )
+        self.expect_flags(
+            # asimdfhm implies asimdhp
+            "asimdfhm", aarch64_gcc=r"-march=armv8.2-a\+fp16\+fp16fml"
+        )
+        self.expect_flags(
+            "asimddp asimdhp asimdfhm",
+            aarch64_gcc=r"-march=armv8.2-a\+dotprod\+fp16\+fp16fml"
+        )
+        self.expect_flags(
+            "vx vxe vxe2",
+            s390x=r"-mzvector -march=arch13"
+        )
+
+    def test_targets_exceptions(self):
+        for targets in (
+            "bla bla", "/*@targets",
+            "/*@targets */",
+            "/*@targets unknown */",
+            "/*@targets $unknown_policy avx2 */",
+            "/*@targets #unknown_group avx2 */",
+            "/*@targets $ */",
+            "/*@targets # vsx */",
+            "/*@targets #$ vsx */",
+            "/*@targets vsx avx2 ) */",
+            "/*@targets vsx avx2 (avx2 */",
+            "/*@targets vsx avx2 () */",
+            "/*@targets vsx avx2 ($autovec) */", # no features
+            "/*@targets vsx avx2 (xxx) */",
+            "/*@targets vsx avx2 (baseline) */",
+        ) :
+            try:
+                self.expect_targets(
+                    targets,
+                    x86="", armhf="", ppc64="", s390x=""
+                )
+                if self.march() != "unknown":
+                    raise AssertionError(
+                        "excepted an exception for %s" % self.march()
+                    )
+            except DistutilsError:
+                if self.march() == "unknown":
+                    raise AssertionError("excepted no exceptions")
+
+    def test_targets_syntax(self):
+        for targets in (
+            "/*@targets $keep_baseline sse vsx neon vx*/",
+            "/*@targets,$keep_baseline,sse,vsx,neon vx*/",
+            "/*@targets*$keep_baseline*sse*vsx*neon*vx*/",
+            """
+            /*
+            ** @targets
+            ** $keep_baseline, sse vsx,neon, vx
+            */
+            """,
+            """
+            /*
+            ************@targets****************
+            ** $keep_baseline, sse vsx, neon, vx
+            ************************************
+            */
+            """,
+            """
+            /*
+            /////////////@targets/////////////////
+            //$keep_baseline//sse//vsx//neon//vx
+            /////////////////////////////////////
+            */
+            """,
+            """
+            /*
+            @targets
+            $keep_baseline
+            SSE VSX NEON VX*/
+            """
+        ) :
+            self.expect_targets(targets,
+                x86="sse", ppc64="vsx", armhf="neon", s390x="vx", unknown=""
+            )
+
+    def test_targets(self):
+        # test skipping baseline features
+        self.expect_targets(
+            """
+            /*@targets
+                sse sse2 sse41 avx avx2 avx512f
+                vsx vsx2 vsx3 vsx4
+                neon neon_fp16 asimdhp asimddp
+                vx vxe vxe2
+            */
+            """,
+            baseline="avx vsx2 asimd vx vxe",
+            x86="avx512f avx2", armhf="asimddp asimdhp", ppc64="vsx4 vsx3",
+            s390x="vxe2"
+        )
+        # test skipping non-dispatch features
+        self.expect_targets(
+            """
+            /*@targets
+                sse41 avx avx2 avx512f
+                vsx2 vsx3 vsx4
+                asimd asimdhp asimddp
+                vx vxe vxe2
+            */
+            """,
+            baseline="", dispatch="sse41 avx2 vsx2 asimd asimddp vxe2",
+            x86="avx2 sse41", armhf="asimddp asimd", ppc64="vsx2", s390x="vxe2"
+        )
+        # test skipping features that not supported
+        self.expect_targets(
+            """
+            /*@targets
+                sse2 sse41 avx2 avx512f
+                vsx2 vsx3 vsx4
+                neon asimdhp asimddp
+                vx vxe vxe2
+            */
+            """,
+            baseline="",
+            trap_files=".*(avx2|avx512f|vsx3|vsx4|asimddp|vxe2).c",
+            x86="sse41 sse2", ppc64="vsx2", armhf="asimdhp neon",
+            s390x="vxe vx"
+        )
+        # test skipping features that implies each other
+        self.expect_targets(
+            """
+            /*@targets
+                sse sse2 avx fma3 avx2 avx512f avx512cd
+                vsx vsx2 vsx3
+                neon neon_vfpv4 neon_fp16 neon_fp16 asimd asimdhp
+                asimddp asimdfhm
+            */
+            """,
+            baseline="",
+            x86_gcc="avx512cd avx512f avx2 fma3 avx sse2",
+            x86_msvc="avx512cd avx2 avx sse2",
+            x86_icc="avx512cd avx2 avx sse2",
+            x86_iccw="avx512cd avx2 avx sse2",
+            ppc64="vsx3 vsx2 vsx",
+            ppc64le="vsx3 vsx2",
+            armhf="asimdfhm asimddp asimdhp asimd neon_vfpv4 neon_fp16 neon",
+            aarch64="asimdfhm asimddp asimdhp asimd"
+        )
+
+    def test_targets_policies(self):
+        # 'keep_baseline', generate objects for baseline features
+        self.expect_targets(
+            """
+            /*@targets
+                $keep_baseline
+                sse2 sse42 avx2 avx512f
+                vsx2 vsx3
+                neon neon_vfpv4 asimd asimddp
+                vx vxe vxe2
+            */
+            """,
+            baseline="sse41 avx2 vsx2 asimd vsx3 vxe",
+            x86="avx512f avx2 sse42 sse2",
+            ppc64="vsx3 vsx2",
+            armhf="asimddp asimd neon_vfpv4 neon",
+            # neon, neon_vfpv4, asimd implies each other
+            aarch64="asimddp asimd",
+            s390x="vxe2 vxe vx"
+        )
+        # 'keep_sort', leave the sort as-is
+        self.expect_targets(
+            """
+            /*@targets
+                $keep_baseline $keep_sort
+                avx512f sse42 avx2 sse2
+                vsx2 vsx3
+                asimd neon neon_vfpv4 asimddp
+                vxe vxe2
+            */
+            """,
+            x86="avx512f sse42 avx2 sse2",
+            ppc64="vsx2 vsx3",
+            armhf="asimd neon neon_vfpv4 asimddp",
+            # neon, neon_vfpv4, asimd implies each other
+            aarch64="asimd asimddp",
+            s390x="vxe vxe2"
+        )
+        # 'autovec', skipping features that can't be
+        # vectorized by the compiler
+        self.expect_targets(
+            """
+            /*@targets
+                $keep_baseline $keep_sort $autovec
+                avx512f avx2 sse42 sse41 sse2
+                vsx3 vsx2
+                asimddp asimd neon_vfpv4 neon
+            */
+            """,
+            x86_gcc="avx512f avx2 sse42 sse41 sse2",
+            x86_icc="avx512f avx2 sse42 sse41 sse2",
+            x86_iccw="avx512f avx2 sse42 sse41 sse2",
+            x86_msvc="avx512f avx2 sse2"
+                     if self.march() == 'x86' else "avx512f avx2",
+            ppc64="vsx3 vsx2",
+            armhf="asimddp asimd neon_vfpv4 neon",
+            # neon, neon_vfpv4, asimd implies each other
+            aarch64="asimddp asimd"
+        )
+        for policy in ("$maxopt", "$autovec"):
+            # 'maxopt' and autovec set the max acceptable optimization flags
+            self.expect_target_flags(
+                "/*@targets baseline %s */" % policy,
+                gcc={"baseline":".*-O3.*"}, icc={"baseline":".*-O3.*"},
+                iccw={"baseline":".*/O3.*"}, msvc={"baseline":".*/O2.*"},
+                unknown={"baseline":".*"}
+            )
+
+        # 'werror', force compilers to treat warnings as errors
+        self.expect_target_flags(
+            "/*@targets baseline $werror */",
+            gcc={"baseline":".*-Werror.*"}, icc={"baseline":".*-Werror.*"},
+            iccw={"baseline":".*/Werror.*"}, msvc={"baseline":".*/WX.*"},
+            unknown={"baseline":".*"}
+        )
+
+    def test_targets_groups(self):
+        self.expect_targets(
+            """
+            /*@targets $keep_baseline baseline #test_group */
+            """,
+            groups=dict(
+                test_group=("""
+                    $keep_baseline
+                    asimddp sse2 vsx2 avx2 vsx3
+                    avx512f asimdhp
+                """)
+            ),
+            x86="avx512f avx2 sse2 baseline",
+            ppc64="vsx3 vsx2 baseline",
+            armhf="asimddp asimdhp baseline"
+        )
+        # test skip duplicating and sorting
+        self.expect_targets(
+            """
+            /*@targets
+             * sse42 avx avx512f
+             * #test_group_1
+             * vsx2
+             * #test_group_2
+             * asimddp asimdfhm
+            */
+            """,
+            groups=dict(
+                test_group_1=("""
+                    VSX2 vsx3 asimd avx2 SSE41
+                """),
+                test_group_2=("""
+                    vsx2 vsx3 asImd aVx2 sse41
+                """)
+            ),
+            x86="avx512f avx2 avx sse42 sse41",
+            ppc64="vsx3 vsx2",
+            # vsx2 part of the default baseline of ppc64le, option ("min")
+            ppc64le="vsx3",
+            armhf="asimdfhm asimddp asimd",
+            # asimd part of the default baseline of aarch64, option ("min")
+            aarch64="asimdfhm asimddp"
+        )
+
+    def test_targets_multi(self):
+        self.expect_targets(
+            """
+            /*@targets
+                (avx512_clx avx512_cnl) (asimdhp asimddp)
+            */
+            """,
+            x86=r"\(avx512_clx avx512_cnl\)",
+            armhf=r"\(asimdhp asimddp\)",
+        )
+        # test skipping implied features and auto-sort
+        self.expect_targets(
+            """
+            /*@targets
+                f16c (sse41 avx sse42) (sse3 avx2 avx512f)
+                vsx2 (vsx vsx3 vsx2)
+                (neon neon_vfpv4 asimd asimdhp asimddp)
+            */
+            """,
+            x86="avx512f f16c avx",
+            ppc64="vsx3 vsx2",
+            ppc64le="vsx3", # vsx2 part of baseline
+            armhf=r"\(asimdhp asimddp\)",
+        )
+        # test skipping implied features and keep sort
+        self.expect_targets(
+            """
+            /*@targets $keep_sort
+                (sse41 avx sse42) (sse3 avx2 avx512f)
+                (vsx vsx3 vsx2)
+                (asimddp neon neon_vfpv4 asimd asimdhp)
+                (vx vxe vxe2)
+            */
+            """,
+            x86="avx avx512f",
+            ppc64="vsx3",
+            armhf=r"\(asimdhp asimddp\)",
+            s390x="vxe2"
+        )
+        # test compiler variety and avoiding duplicating
+        self.expect_targets(
+            """
+            /*@targets $keep_sort
+                fma3 avx2 (fma3 avx2) (avx2 fma3) avx2 fma3
+            */
+            """,
+            x86_gcc=r"fma3 avx2 \(fma3 avx2\)",
+            x86_icc="avx2", x86_iccw="avx2",
+            x86_msvc="avx2"
+        )
+
+def new_test(arch, cc):
+    if is_standalone: return textwrap.dedent("""\
+    class TestCCompilerOpt_{class_name}(_Test_CCompilerOpt, unittest.TestCase):
+        arch = '{arch}'
+        cc   = '{cc}'
+        def __init__(self, methodName="runTest"):
+            unittest.TestCase.__init__(self, methodName)
+            self.setup_class()
+    """).format(
+        class_name=arch + '_' + cc, arch=arch, cc=cc
+    )
+    return textwrap.dedent("""\
+    class TestCCompilerOpt_{class_name}(_Test_CCompilerOpt):
+        arch = '{arch}'
+        cc   = '{cc}'
+    """).format(
+        class_name=arch + '_' + cc, arch=arch, cc=cc
+    )
+"""
+if 1 and is_standalone:
+    FakeCCompilerOpt.fake_info = "x86_icc"
+    cco = FakeCCompilerOpt(None, cpu_baseline="avx2")
+    print(' '.join(cco.cpu_baseline_names()))
+    print(cco.cpu_baseline_flags())
+    unittest.main()
+    sys.exit()
+"""
+for arch, compilers in arch_compilers.items():
+    for cc in compilers:
+        exec(new_test(arch, cc))
+
+if is_standalone:
+    unittest.main()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_ccompiler_opt_conf.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_ccompiler_opt_conf.py
new file mode 100644
index 0000000000000000000000000000000000000000..d9e8b2b0a8342237b0efd2cc116827a451177fa3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_ccompiler_opt_conf.py
@@ -0,0 +1,176 @@
+import unittest
+from os import sys, path
+
+is_standalone = __name__ == '__main__' and __package__ is None
+if is_standalone:
+    sys.path.append(path.abspath(path.join(path.dirname(__file__), "..")))
+    from ccompiler_opt import CCompilerOpt
+else:
+    from numpy.distutils.ccompiler_opt import CCompilerOpt
+
+arch_compilers = dict(
+    x86 = ("gcc", "clang", "icc", "iccw", "msvc"),
+    x64 = ("gcc", "clang", "icc", "iccw", "msvc"),
+    ppc64 = ("gcc", "clang"),
+    ppc64le = ("gcc", "clang"),
+    armhf = ("gcc", "clang"),
+    aarch64 = ("gcc", "clang"),
+    narch = ("gcc",)
+)
+
+class FakeCCompilerOpt(CCompilerOpt):
+    fake_info = ("arch", "compiler", "extra_args")
+    def __init__(self, *args, **kwargs):
+        CCompilerOpt.__init__(self, None, **kwargs)
+    def dist_compile(self, sources, flags, **kwargs):
+        return sources
+    def dist_info(self):
+        return FakeCCompilerOpt.fake_info
+    @staticmethod
+    def dist_log(*args, stderr=False):
+        pass
+
+class _TestConfFeatures(FakeCCompilerOpt):
+    """A hook to check the sanity of configured features
+-   before it called by the abstract class '_Feature'
+    """
+
+    def conf_features_partial(self):
+        conf_all = self.conf_features
+        for feature_name, feature in conf_all.items():
+            self.test_feature(
+                "attribute conf_features",
+                conf_all, feature_name, feature
+            )
+
+        conf_partial = FakeCCompilerOpt.conf_features_partial(self)
+        for feature_name, feature in conf_partial.items():
+            self.test_feature(
+                "conf_features_partial()",
+                conf_partial, feature_name, feature
+            )
+        return conf_partial
+
+    def test_feature(self, log, search_in, feature_name, feature_dict):
+        error_msg = (
+            "during validate '{}' within feature '{}', "
+            "march '{}' and compiler '{}'\n>> "
+        ).format(log, feature_name, self.cc_march, self.cc_name)
+
+        if not feature_name.isupper():
+            raise AssertionError(error_msg + "feature name must be in uppercase")
+
+        for option, val in feature_dict.items():
+            self.test_option_types(error_msg, option, val)
+            self.test_duplicates(error_msg, option, val)
+
+        self.test_implies(error_msg, search_in, feature_name, feature_dict)
+        self.test_group(error_msg, search_in, feature_name, feature_dict)
+        self.test_extra_checks(error_msg, search_in, feature_name, feature_dict)
+
+    def test_option_types(self, error_msg, option, val):
+        for tp, available in (
+            ((str, list), (
+                "implies", "headers", "flags", "group", "detect", "extra_checks"
+            )),
+            ((str,),  ("disable",)),
+            ((int,),  ("interest",)),
+            ((bool,), ("implies_detect",)),
+            ((bool, type(None)), ("autovec",)),
+        ) :
+            found_it = option in available
+            if not found_it:
+                continue
+            if not isinstance(val, tp):
+                error_tp = [t.__name__ for t in (*tp,)]
+                error_tp = ' or '.join(error_tp)
+                raise AssertionError(error_msg +
+                    "expected '%s' type for option '%s' not '%s'" % (
+                     error_tp, option, type(val).__name__
+                ))
+            break
+
+        if not found_it:
+            raise AssertionError(error_msg + "invalid option name '%s'" % option)
+
+    def test_duplicates(self, error_msg, option, val):
+        if option not in (
+            "implies", "headers", "flags", "group", "detect", "extra_checks"
+        ) : return
+
+        if isinstance(val, str):
+            val = val.split()
+
+        if len(val) != len(set(val)):
+            raise AssertionError(error_msg + "duplicated values in option '%s'" % option)
+
+    def test_implies(self, error_msg, search_in, feature_name, feature_dict):
+        if feature_dict.get("disabled") is not None:
+            return
+        implies = feature_dict.get("implies", "")
+        if not implies:
+            return
+        if isinstance(implies, str):
+            implies = implies.split()
+
+        if feature_name in implies:
+            raise AssertionError(error_msg + "feature implies itself")
+
+        for impl in implies:
+            impl_dict = search_in.get(impl)
+            if impl_dict is not None:
+                if "disable" in impl_dict:
+                    raise AssertionError(error_msg + "implies disabled feature '%s'" % impl)
+                continue
+            raise AssertionError(error_msg + "implies non-exist feature '%s'" % impl)
+
+    def test_group(self, error_msg, search_in, feature_name, feature_dict):
+        if feature_dict.get("disabled") is not None:
+            return
+        group = feature_dict.get("group", "")
+        if not group:
+            return
+        if isinstance(group, str):
+            group = group.split()
+
+        for f in group:
+            impl_dict = search_in.get(f)
+            if not impl_dict or "disable" in impl_dict:
+                continue
+            raise AssertionError(error_msg +
+                "in option 'group', '%s' already exists as a feature name" % f
+            )
+
+    def test_extra_checks(self, error_msg, search_in, feature_name, feature_dict):
+        if feature_dict.get("disabled") is not None:
+            return
+        extra_checks = feature_dict.get("extra_checks", "")
+        if not extra_checks:
+            return
+        if isinstance(extra_checks, str):
+            extra_checks = extra_checks.split()
+
+        for f in extra_checks:
+            impl_dict = search_in.get(f)
+            if not impl_dict or "disable" in impl_dict:
+                continue
+            raise AssertionError(error_msg +
+                "in option 'extra_checks', extra test case '%s' already exists as a feature name" % f
+            )
+
+class TestConfFeatures(unittest.TestCase):
+    def __init__(self, methodName="runTest"):
+        unittest.TestCase.__init__(self, methodName)
+        self._setup()
+
+    def _setup(self):
+        FakeCCompilerOpt.conf_nocache = True
+
+    def test_features(self):
+        for arch, compilers in arch_compilers.items():
+            for cc in compilers:
+                FakeCCompilerOpt.fake_info = (arch, cc, "")
+                _TestConfFeatures()
+
+if is_standalone:
+    unittest.main()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_exec_command.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_exec_command.py
new file mode 100644
index 0000000000000000000000000000000000000000..d1a20056a5a2a78a76cf36d1bde31a0e82cbb873
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_exec_command.py
@@ -0,0 +1,217 @@
+import os
+import pytest
+import sys
+from tempfile import TemporaryFile
+
+from numpy.distutils import exec_command
+from numpy.distutils.exec_command import get_pythonexe
+from numpy.testing import tempdir, assert_, assert_warns, IS_WASM
+
+
+# In python 3 stdout, stderr are text (unicode compliant) devices, so to
+# emulate them import StringIO from the io module.
+from io import StringIO
+
+class redirect_stdout:
+    """Context manager to redirect stdout for exec_command test."""
+    def __init__(self, stdout=None):
+        self._stdout = stdout or sys.stdout
+
+    def __enter__(self):
+        self.old_stdout = sys.stdout
+        sys.stdout = self._stdout
+
+    def __exit__(self, exc_type, exc_value, traceback):
+        self._stdout.flush()
+        sys.stdout = self.old_stdout
+        # note: closing sys.stdout won't close it.
+        self._stdout.close()
+
+class redirect_stderr:
+    """Context manager to redirect stderr for exec_command test."""
+    def __init__(self, stderr=None):
+        self._stderr = stderr or sys.stderr
+
+    def __enter__(self):
+        self.old_stderr = sys.stderr
+        sys.stderr = self._stderr
+
+    def __exit__(self, exc_type, exc_value, traceback):
+        self._stderr.flush()
+        sys.stderr = self.old_stderr
+        # note: closing sys.stderr won't close it.
+        self._stderr.close()
+
+class emulate_nonposix:
+    """Context manager to emulate os.name != 'posix' """
+    def __init__(self, osname='non-posix'):
+        self._new_name = osname
+
+    def __enter__(self):
+        self._old_name = os.name
+        os.name = self._new_name
+
+    def __exit__(self, exc_type, exc_value, traceback):
+        os.name = self._old_name
+
+
+def test_exec_command_stdout():
+    # Regression test for gh-2999 and gh-2915.
+    # There are several packages (nose, scipy.weave.inline, Sage inline
+    # Fortran) that replace stdout, in which case it doesn't have a fileno
+    # method.  This is tested here, with a do-nothing command that fails if the
+    # presence of fileno() is assumed in exec_command.
+
+    # The code has a special case for posix systems, so if we are on posix test
+    # both that the special case works and that the generic code works.
+
+    # Test posix version:
+    with redirect_stdout(StringIO()):
+        with redirect_stderr(TemporaryFile()):
+            with assert_warns(DeprecationWarning):
+                exec_command.exec_command("cd '.'")
+
+    if os.name == 'posix':
+        # Test general (non-posix) version:
+        with emulate_nonposix():
+            with redirect_stdout(StringIO()):
+                with redirect_stderr(TemporaryFile()):
+                    with assert_warns(DeprecationWarning):
+                        exec_command.exec_command("cd '.'")
+
+def test_exec_command_stderr():
+    # Test posix version:
+    with redirect_stdout(TemporaryFile(mode='w+')):
+        with redirect_stderr(StringIO()):
+            with assert_warns(DeprecationWarning):
+                exec_command.exec_command("cd '.'")
+
+    if os.name == 'posix':
+        # Test general (non-posix) version:
+        with emulate_nonposix():
+            with redirect_stdout(TemporaryFile()):
+                with redirect_stderr(StringIO()):
+                    with assert_warns(DeprecationWarning):
+                        exec_command.exec_command("cd '.'")
+
+
+@pytest.mark.skipif(IS_WASM, reason="Cannot start subprocess")
+class TestExecCommand:
+    def setup_method(self):
+        self.pyexe = get_pythonexe()
+
+    def check_nt(self, **kws):
+        s, o = exec_command.exec_command('cmd /C echo path=%path%')
+        assert_(s == 0)
+        assert_(o != '')
+
+        s, o = exec_command.exec_command(
+         '"%s" -c "import sys;sys.stderr.write(sys.platform)"' % self.pyexe)
+        assert_(s == 0)
+        assert_(o == 'win32')
+
+    def check_posix(self, **kws):
+        s, o = exec_command.exec_command("echo Hello", **kws)
+        assert_(s == 0)
+        assert_(o == 'Hello')
+
+        s, o = exec_command.exec_command('echo $AAA', **kws)
+        assert_(s == 0)
+        assert_(o == '')
+
+        s, o = exec_command.exec_command('echo "$AAA"', AAA='Tere', **kws)
+        assert_(s == 0)
+        assert_(o == 'Tere')
+
+        s, o = exec_command.exec_command('echo "$AAA"', **kws)
+        assert_(s == 0)
+        assert_(o == '')
+
+        if 'BBB' not in os.environ:
+            os.environ['BBB'] = 'Hi'
+            s, o = exec_command.exec_command('echo "$BBB"', **kws)
+            assert_(s == 0)
+            assert_(o == 'Hi')
+
+            s, o = exec_command.exec_command('echo "$BBB"', BBB='Hey', **kws)
+            assert_(s == 0)
+            assert_(o == 'Hey')
+
+            s, o = exec_command.exec_command('echo "$BBB"', **kws)
+            assert_(s == 0)
+            assert_(o == 'Hi')
+
+            del os.environ['BBB']
+
+            s, o = exec_command.exec_command('echo "$BBB"', **kws)
+            assert_(s == 0)
+            assert_(o == '')
+
+
+        s, o = exec_command.exec_command('this_is_not_a_command', **kws)
+        assert_(s != 0)
+        assert_(o != '')
+
+        s, o = exec_command.exec_command('echo path=$PATH', **kws)
+        assert_(s == 0)
+        assert_(o != '')
+
+        s, o = exec_command.exec_command(
+             '"%s" -c "import sys,os;sys.stderr.write(os.name)"' %
+             self.pyexe, **kws)
+        assert_(s == 0)
+        assert_(o == 'posix')
+
+    def check_basic(self, *kws):
+        s, o = exec_command.exec_command(
+                     '"%s" -c "raise \'Ignore me.\'"' % self.pyexe, **kws)
+        assert_(s != 0)
+        assert_(o != '')
+
+        s, o = exec_command.exec_command(
+             '"%s" -c "import sys;sys.stderr.write(\'0\');'
+             'sys.stderr.write(\'1\');sys.stderr.write(\'2\')"' %
+             self.pyexe, **kws)
+        assert_(s == 0)
+        assert_(o == '012')
+
+        s, o = exec_command.exec_command(
+                 '"%s" -c "import sys;sys.exit(15)"' % self.pyexe, **kws)
+        assert_(s == 15)
+        assert_(o == '')
+
+        s, o = exec_command.exec_command(
+                     '"%s" -c "print(\'Heipa\'")' % self.pyexe, **kws)
+        assert_(s == 0)
+        assert_(o == 'Heipa')
+
+    def check_execute_in(self, **kws):
+        with tempdir() as tmpdir:
+            fn = "file"
+            tmpfile = os.path.join(tmpdir, fn)
+            with open(tmpfile, 'w') as f:
+                f.write('Hello')
+
+            s, o = exec_command.exec_command(
+                 '"%s" -c "f = open(\'%s\', \'r\'); f.close()"' %
+                 (self.pyexe, fn), **kws)
+            assert_(s != 0)
+            assert_(o != '')
+            s, o = exec_command.exec_command(
+                     '"%s" -c "f = open(\'%s\', \'r\'); print(f.read()); '
+                     'f.close()"' % (self.pyexe, fn), execute_in=tmpdir, **kws)
+            assert_(s == 0)
+            assert_(o == 'Hello')
+
+    def test_basic(self):
+        with redirect_stdout(StringIO()):
+            with redirect_stderr(StringIO()):
+                with assert_warns(DeprecationWarning):
+                    if os.name == "posix":
+                        self.check_posix(use_tee=0)
+                        self.check_posix(use_tee=1)
+                    elif os.name == "nt":
+                        self.check_nt(use_tee=0)
+                        self.check_nt(use_tee=1)
+                    self.check_execute_in(use_tee=0)
+                    self.check_execute_in(use_tee=1)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..dd97f1e72afcba2ab379e5ff4dfce15341686534
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler.py
@@ -0,0 +1,43 @@
+from numpy.testing import assert_
+import numpy.distutils.fcompiler
+
+customizable_flags = [
+    ('f77', 'F77FLAGS'),
+    ('f90', 'F90FLAGS'),
+    ('free', 'FREEFLAGS'),
+    ('arch', 'FARCH'),
+    ('debug', 'FDEBUG'),
+    ('flags', 'FFLAGS'),
+    ('linker_so', 'LDFLAGS'),
+]
+
+
+def test_fcompiler_flags(monkeypatch):
+    monkeypatch.setenv('NPY_DISTUTILS_APPEND_FLAGS', '0')
+    fc = numpy.distutils.fcompiler.new_fcompiler(compiler='none')
+    flag_vars = fc.flag_vars.clone(lambda *args, **kwargs: None)
+
+    for opt, envvar in customizable_flags:
+        new_flag = '-dummy-{}-flag'.format(opt)
+        prev_flags = getattr(flag_vars, opt)
+
+        monkeypatch.setenv(envvar, new_flag)
+        new_flags = getattr(flag_vars, opt)
+
+        monkeypatch.delenv(envvar)
+        assert_(new_flags == [new_flag])
+
+    monkeypatch.setenv('NPY_DISTUTILS_APPEND_FLAGS', '1')
+
+    for opt, envvar in customizable_flags:
+        new_flag = '-dummy-{}-flag'.format(opt)
+        prev_flags = getattr(flag_vars, opt)
+        monkeypatch.setenv(envvar, new_flag)
+        new_flags = getattr(flag_vars, opt)
+
+        monkeypatch.delenv(envvar)
+        if prev_flags is None:
+            assert_(new_flags == [new_flag])
+        else:
+            assert_(new_flags == prev_flags + [new_flag])
+
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_gnu.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_gnu.py
new file mode 100644
index 0000000000000000000000000000000000000000..0817ae58c2140e912eaf3d61e040050016dede54
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_gnu.py
@@ -0,0 +1,55 @@
+from numpy.testing import assert_
+
+import numpy.distutils.fcompiler
+
+g77_version_strings = [
+    ('GNU Fortran 0.5.25 20010319 (prerelease)', '0.5.25'),
+    ('GNU Fortran (GCC 3.2) 3.2 20020814 (release)', '3.2'),
+    ('GNU Fortran (GCC) 3.3.3 20040110 (prerelease) (Debian)', '3.3.3'),
+    ('GNU Fortran (GCC) 3.3.3 (Debian 20040401)', '3.3.3'),
+    ('GNU Fortran (GCC 3.2.2 20030222 (Red Hat Linux 3.2.2-5)) 3.2.2'
+       ' 20030222 (Red Hat Linux 3.2.2-5)', '3.2.2'),
+]
+
+gfortran_version_strings = [
+    ('GNU Fortran 95 (GCC 4.0.3 20051023 (prerelease) (Debian 4.0.2-3))',
+     '4.0.3'),
+    ('GNU Fortran 95 (GCC) 4.1.0', '4.1.0'),
+    ('GNU Fortran 95 (GCC) 4.2.0 20060218 (experimental)', '4.2.0'),
+    ('GNU Fortran (GCC) 4.3.0 20070316 (experimental)', '4.3.0'),
+    ('GNU Fortran (rubenvb-4.8.0) 4.8.0', '4.8.0'),
+    ('4.8.0', '4.8.0'),
+    ('4.0.3-7', '4.0.3'),
+    ("gfortran: warning: couldn't understand kern.osversion '14.1.0\n4.9.1",
+     '4.9.1'),
+    ("gfortran: warning: couldn't understand kern.osversion '14.1.0\n"
+     "gfortran: warning: yet another warning\n4.9.1",
+     '4.9.1'),
+    ('GNU Fortran (crosstool-NG 8a21ab48) 7.2.0', '7.2.0')
+]
+
+class TestG77Versions:
+    def test_g77_version(self):
+        fc = numpy.distutils.fcompiler.new_fcompiler(compiler='gnu')
+        for vs, version in g77_version_strings:
+            v = fc.version_match(vs)
+            assert_(v == version, (vs, v))
+
+    def test_not_g77(self):
+        fc = numpy.distutils.fcompiler.new_fcompiler(compiler='gnu')
+        for vs, _ in gfortran_version_strings:
+            v = fc.version_match(vs)
+            assert_(v is None, (vs, v))
+
+class TestGFortranVersions:
+    def test_gfortran_version(self):
+        fc = numpy.distutils.fcompiler.new_fcompiler(compiler='gnu95')
+        for vs, version in gfortran_version_strings:
+            v = fc.version_match(vs)
+            assert_(v == version, (vs, v))
+
+    def test_not_gfortran(self):
+        fc = numpy.distutils.fcompiler.new_fcompiler(compiler='gnu95')
+        for vs, _ in g77_version_strings:
+            v = fc.version_match(vs)
+            assert_(v is None, (vs, v))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_intel.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_intel.py
new file mode 100644
index 0000000000000000000000000000000000000000..45c9cdac1910def6b5a50a60b4ab5c8e0092af18
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_intel.py
@@ -0,0 +1,30 @@
+import numpy.distutils.fcompiler
+from numpy.testing import assert_
+
+
+intel_32bit_version_strings = [
+    ("Intel(R) Fortran Intel(R) 32-bit Compiler Professional for applications"
+     "running on Intel(R) 32, Version 11.1", '11.1'),
+]
+
+intel_64bit_version_strings = [
+    ("Intel(R) Fortran IA-64 Compiler Professional for applications"
+     "running on IA-64, Version 11.0", '11.0'),
+    ("Intel(R) Fortran Intel(R) 64 Compiler Professional for applications"
+     "running on Intel(R) 64, Version 11.1", '11.1')
+]
+
+class TestIntelFCompilerVersions:
+    def test_32bit_version(self):
+        fc = numpy.distutils.fcompiler.new_fcompiler(compiler='intel')
+        for vs, version in intel_32bit_version_strings:
+            v = fc.version_match(vs)
+            assert_(v == version)
+
+
+class TestIntelEM64TFCompilerVersions:
+    def test_64bit_version(self):
+        fc = numpy.distutils.fcompiler.new_fcompiler(compiler='intelem')
+        for vs, version in intel_64bit_version_strings:
+            v = fc.version_match(vs)
+            assert_(v == version)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_nagfor.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_nagfor.py
new file mode 100644
index 0000000000000000000000000000000000000000..2e04f5266dc1e9c5a15f130af5f9c596f8bd7ef9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_fcompiler_nagfor.py
@@ -0,0 +1,22 @@
+from numpy.testing import assert_
+import numpy.distutils.fcompiler
+
+nag_version_strings = [('nagfor', 'NAG Fortran Compiler Release '
+                        '6.2(Chiyoda) Build 6200', '6.2'),
+                       ('nagfor', 'NAG Fortran Compiler Release '
+                        '6.1(Tozai) Build 6136', '6.1'),
+                       ('nagfor', 'NAG Fortran Compiler Release '
+                        '6.0(Hibiya) Build 1021', '6.0'),
+                       ('nagfor', 'NAG Fortran Compiler Release '
+                        '5.3.2(971)', '5.3.2'),
+                       ('nag', 'NAGWare Fortran 95 compiler Release 5.1'
+                        '(347,355-367,375,380-383,389,394,399,401-402,407,'
+                        '431,435,437,446,459-460,463,472,494,496,503,508,'
+                        '511,517,529,555,557,565)', '5.1')]
+
+class TestNagFCompilerVersions:
+    def test_version_match(self):
+        for comp, vs, version in nag_version_strings:
+            fc = numpy.distutils.fcompiler.new_fcompiler(compiler=comp)
+            v = fc.version_match(vs)
+            assert_(v == version)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_from_template.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_from_template.py
new file mode 100644
index 0000000000000000000000000000000000000000..5881754962996460a5900bb211d11411b554a48f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_from_template.py
@@ -0,0 +1,44 @@
+
+from numpy.distutils.from_template import process_str
+from numpy.testing import assert_equal
+
+
+pyf_src = """
+python module foo
+    <_rd=real,double precision>
+    interface
+        subroutine foosub(tol)
+            <_rd>, intent(in,out) :: tol
+        end subroutine foosub
+    end interface
+end python module foo
+"""
+
+expected_pyf = """
+python module foo
+    interface
+        subroutine sfoosub(tol)
+            real, intent(in,out) :: tol
+        end subroutine sfoosub
+        subroutine dfoosub(tol)
+            double precision, intent(in,out) :: tol
+        end subroutine dfoosub
+    end interface
+end python module foo
+"""
+
+
+def normalize_whitespace(s):
+    """
+    Remove leading and trailing whitespace, and convert internal
+    stretches of whitespace to a single space.
+    """
+    return ' '.join(s.split())
+
+
+def test_from_template():
+    """Regression test for gh-10712."""
+    pyf = process_str(pyf_src)
+    normalized_pyf = normalize_whitespace(pyf)
+    normalized_expected_pyf = normalize_whitespace(expected_pyf)
+    assert_equal(normalized_pyf, normalized_expected_pyf)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_log.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_log.py
new file mode 100644
index 0000000000000000000000000000000000000000..72fddf37370f1b5c81473a24c823a236f9f299bc
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_log.py
@@ -0,0 +1,34 @@
+import io
+import re
+from contextlib import redirect_stdout
+
+import pytest
+
+from numpy.distutils import log
+
+
+def setup_module():
+    f = io.StringIO()  # changing verbosity also logs here, capture that
+    with redirect_stdout(f):
+        log.set_verbosity(2, force=True)  # i.e. DEBUG
+
+
+def teardown_module():
+    log.set_verbosity(0, force=True)  # the default
+
+
+r_ansi = re.compile(r"\x1B(?:[@-Z\\-_]|\[[0-?]*[ -/]*[@-~])")
+
+
+@pytest.mark.parametrize("func_name", ["error", "warn", "info", "debug"])
+def test_log_prefix(func_name):
+    func = getattr(log, func_name)
+    msg = f"{func_name} message"
+    f = io.StringIO()
+    with redirect_stdout(f):
+        func(msg)
+    out = f.getvalue()
+    assert out  # sanity check
+    clean_out = r_ansi.sub("", out)
+    line = next(line for line in clean_out.splitlines())
+    assert line == f"{func_name.upper()}: {msg}"
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_mingw32ccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_mingw32ccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..ebedacb32448f4cab47b4931985a6417f18fd1f0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_mingw32ccompiler.py
@@ -0,0 +1,42 @@
+import shutil
+import subprocess
+import sys
+import pytest
+
+from numpy.distutils import mingw32ccompiler
+
+
+@pytest.mark.skipif(sys.platform != 'win32', reason='win32 only test')
+def test_build_import():
+    '''Test the mingw32ccompiler.build_import_library, which builds a
+    `python.a` from the MSVC `python.lib`
+    '''
+
+    # make sure `nm.exe` exists and supports the current python version. This
+    # can get mixed up when the PATH has a 64-bit nm but the python is 32-bit
+    try:
+        out = subprocess.check_output(['nm.exe', '--help'])
+    except FileNotFoundError:
+        pytest.skip("'nm.exe' not on path, is mingw installed?")
+    supported = out[out.find(b'supported targets:'):]
+    if sys.maxsize < 2**32:
+        if b'pe-i386' not in supported:
+            raise ValueError("'nm.exe' found but it does not support 32-bit "
+                             "dlls when using 32-bit python. Supported "
+                             "formats: '%s'" % supported)
+    elif b'pe-x86-64' not in supported:
+        raise ValueError("'nm.exe' found but it does not support 64-bit "
+                         "dlls when using 64-bit python. Supported "
+                         "formats: '%s'" % supported)
+    # Hide the import library to force a build
+    has_import_lib, fullpath = mingw32ccompiler._check_for_import_lib()
+    if has_import_lib: 
+        shutil.move(fullpath, fullpath + '.bak')
+
+    try: 
+        # Whew, now we can actually test the function
+        mingw32ccompiler.build_import_library()
+
+    finally:
+        if has_import_lib:
+            shutil.move(fullpath + '.bak', fullpath)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_misc_util.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_misc_util.py
new file mode 100644
index 0000000000000000000000000000000000000000..40e7606eeb76bd95f81ec48ce2fcc49fd0fe3e71
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_misc_util.py
@@ -0,0 +1,88 @@
+from os.path import join, sep, dirname
+
+import pytest
+
+from numpy.distutils.misc_util import (
+    appendpath, minrelpath, gpaths, get_shared_lib_extension, get_info
+    )
+from numpy.testing import (
+    assert_, assert_equal, IS_EDITABLE
+    )
+
+ajoin = lambda *paths: join(*((sep,)+paths))
+
+class TestAppendpath:
+
+    def test_1(self):
+        assert_equal(appendpath('prefix', 'name'), join('prefix', 'name'))
+        assert_equal(appendpath('/prefix', 'name'), ajoin('prefix', 'name'))
+        assert_equal(appendpath('/prefix', '/name'), ajoin('prefix', 'name'))
+        assert_equal(appendpath('prefix', '/name'), join('prefix', 'name'))
+
+    def test_2(self):
+        assert_equal(appendpath('prefix/sub', 'name'),
+                     join('prefix', 'sub', 'name'))
+        assert_equal(appendpath('prefix/sub', 'sup/name'),
+                     join('prefix', 'sub', 'sup', 'name'))
+        assert_equal(appendpath('/prefix/sub', '/prefix/name'),
+                     ajoin('prefix', 'sub', 'name'))
+
+    def test_3(self):
+        assert_equal(appendpath('/prefix/sub', '/prefix/sup/name'),
+                     ajoin('prefix', 'sub', 'sup', 'name'))
+        assert_equal(appendpath('/prefix/sub/sub2', '/prefix/sup/sup2/name'),
+                     ajoin('prefix', 'sub', 'sub2', 'sup', 'sup2', 'name'))
+        assert_equal(appendpath('/prefix/sub/sub2', '/prefix/sub/sup/name'),
+                     ajoin('prefix', 'sub', 'sub2', 'sup', 'name'))
+
+class TestMinrelpath:
+
+    def test_1(self):
+        n = lambda path: path.replace('/', sep)
+        assert_equal(minrelpath(n('aa/bb')), n('aa/bb'))
+        assert_equal(minrelpath('..'), '..')
+        assert_equal(minrelpath(n('aa/..')), '')
+        assert_equal(minrelpath(n('aa/../bb')), 'bb')
+        assert_equal(minrelpath(n('aa/bb/..')), 'aa')
+        assert_equal(minrelpath(n('aa/bb/../..')), '')
+        assert_equal(minrelpath(n('aa/bb/../cc/../dd')), n('aa/dd'))
+        assert_equal(minrelpath(n('.././..')), n('../..'))
+        assert_equal(minrelpath(n('aa/bb/.././../dd')), n('dd'))
+
+class TestGpaths:
+
+    def test_gpaths(self):
+        local_path = minrelpath(join(dirname(__file__), '..'))
+        ls = gpaths('command/*.py', local_path)
+        assert_(join(local_path, 'command', 'build_src.py') in ls, repr(ls))
+        f = gpaths('system_info.py', local_path)
+        assert_(join(local_path, 'system_info.py') == f[0], repr(f))
+
+class TestSharedExtension:
+
+    def test_get_shared_lib_extension(self):
+        import sys
+        ext = get_shared_lib_extension(is_python_ext=False)
+        if sys.platform.startswith('linux'):
+            assert_equal(ext, '.so')
+        elif sys.platform.startswith('gnukfreebsd'):
+            assert_equal(ext, '.so')
+        elif sys.platform.startswith('darwin'):
+            assert_equal(ext, '.dylib')
+        elif sys.platform.startswith('win'):
+            assert_equal(ext, '.dll')
+        # just check for no crash
+        assert_(get_shared_lib_extension(is_python_ext=True))
+
+
+@pytest.mark.skipif(
+    IS_EDITABLE,
+    reason="`get_info` .ini lookup method incompatible with editable install"
+)
+def test_installed_npymath_ini():
+    # Regression test for gh-7707.  If npymath.ini wasn't installed, then this
+    # will give an error.
+    info = get_info('npymath')
+
+    assert isinstance(info, dict)
+    assert "define_macros" in info
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_npy_pkg_config.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_npy_pkg_config.py
new file mode 100644
index 0000000000000000000000000000000000000000..b287ebe2e83209fdcf5add161a7af8d988b9d086
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_npy_pkg_config.py
@@ -0,0 +1,84 @@
+import os
+
+from numpy.distutils.npy_pkg_config import read_config, parse_flags
+from numpy.testing import temppath, assert_
+
+simple = """\
+[meta]
+Name = foo
+Description = foo lib
+Version = 0.1
+
+[default]
+cflags = -I/usr/include
+libs = -L/usr/lib
+"""
+simple_d = {'cflags': '-I/usr/include', 'libflags': '-L/usr/lib',
+        'version': '0.1', 'name': 'foo'}
+
+simple_variable = """\
+[meta]
+Name = foo
+Description = foo lib
+Version = 0.1
+
+[variables]
+prefix = /foo/bar
+libdir = ${prefix}/lib
+includedir = ${prefix}/include
+
+[default]
+cflags = -I${includedir}
+libs = -L${libdir}
+"""
+simple_variable_d = {'cflags': '-I/foo/bar/include', 'libflags': '-L/foo/bar/lib',
+        'version': '0.1', 'name': 'foo'}
+
+class TestLibraryInfo:
+    def test_simple(self):
+        with temppath('foo.ini') as path:
+            with open(path,  'w') as f:
+                f.write(simple)
+            pkg = os.path.splitext(path)[0]
+            out = read_config(pkg)
+
+        assert_(out.cflags() == simple_d['cflags'])
+        assert_(out.libs() == simple_d['libflags'])
+        assert_(out.name == simple_d['name'])
+        assert_(out.version == simple_d['version'])
+
+    def test_simple_variable(self):
+        with temppath('foo.ini') as path:
+            with open(path,  'w') as f:
+                f.write(simple_variable)
+            pkg = os.path.splitext(path)[0]
+            out = read_config(pkg)
+
+        assert_(out.cflags() == simple_variable_d['cflags'])
+        assert_(out.libs() == simple_variable_d['libflags'])
+        assert_(out.name == simple_variable_d['name'])
+        assert_(out.version == simple_variable_d['version'])
+        out.vars['prefix'] = '/Users/david'
+        assert_(out.cflags() == '-I/Users/david/include')
+
+class TestParseFlags:
+    def test_simple_cflags(self):
+        d = parse_flags("-I/usr/include")
+        assert_(d['include_dirs'] == ['/usr/include'])
+
+        d = parse_flags("-I/usr/include -DFOO")
+        assert_(d['include_dirs'] == ['/usr/include'])
+        assert_(d['macros'] == ['FOO'])
+
+        d = parse_flags("-I /usr/include -DFOO")
+        assert_(d['include_dirs'] == ['/usr/include'])
+        assert_(d['macros'] == ['FOO'])
+
+    def test_simple_lflags(self):
+        d = parse_flags("-L/usr/lib -lfoo -L/usr/lib -lbar")
+        assert_(d['library_dirs'] == ['/usr/lib', '/usr/lib'])
+        assert_(d['libraries'] == ['foo', 'bar'])
+
+        d = parse_flags("-L /usr/lib -lfoo -L/usr/lib -lbar")
+        assert_(d['library_dirs'] == ['/usr/lib', '/usr/lib'])
+        assert_(d['libraries'] == ['foo', 'bar'])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_shell_utils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_shell_utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..696d38ddd66a41ec5f51f4c93d26d3f0df29b483
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_shell_utils.py
@@ -0,0 +1,79 @@
+import pytest
+import subprocess
+import json
+import sys
+
+from numpy.distutils import _shell_utils
+from numpy.testing import IS_WASM
+
+argv_cases = [
+    [r'exe'],
+    [r'path/exe'],
+    [r'path\exe'],
+    [r'\\server\path\exe'],
+    [r'path to/exe'],
+    [r'path to\exe'],
+
+    [r'exe', '--flag'],
+    [r'path/exe', '--flag'],
+    [r'path\exe', '--flag'],
+    [r'path to/exe', '--flag'],
+    [r'path to\exe', '--flag'],
+
+    # flags containing literal quotes in their name
+    [r'path to/exe', '--flag-"quoted"'],
+    [r'path to\exe', '--flag-"quoted"'],
+    [r'path to/exe', '"--flag-quoted"'],
+    [r'path to\exe', '"--flag-quoted"'],
+]
+
+
+@pytest.fixture(params=[
+    _shell_utils.WindowsParser,
+    _shell_utils.PosixParser
+])
+def Parser(request):
+    return request.param
+
+
+@pytest.fixture
+def runner(Parser):
+    if Parser != _shell_utils.NativeParser:
+        pytest.skip('Unable to run with non-native parser')
+
+    if Parser == _shell_utils.WindowsParser:
+        return lambda cmd: subprocess.check_output(cmd)
+    elif Parser == _shell_utils.PosixParser:
+        # posix has no non-shell string parsing
+        return lambda cmd: subprocess.check_output(cmd, shell=True)
+    else:
+        raise NotImplementedError
+
+
+@pytest.mark.skipif(IS_WASM, reason="Cannot start subprocess")
+@pytest.mark.parametrize('argv', argv_cases)
+def test_join_matches_subprocess(Parser, runner, argv):
+    """
+    Test that join produces strings understood by subprocess
+    """
+    # invoke python to return its arguments as json
+    cmd = [
+        sys.executable, '-c',
+        'import json, sys; print(json.dumps(sys.argv[1:]))'
+    ]
+    joined = Parser.join(cmd + argv)
+    json_out = runner(joined).decode()
+    assert json.loads(json_out) == argv
+
+
+@pytest.mark.skipif(IS_WASM, reason="Cannot start subprocess")
+@pytest.mark.parametrize('argv', argv_cases)
+def test_roundtrip(Parser, argv):
+    """
+    Test that split is the inverse operation of join
+    """
+    try:
+        joined = Parser.join(argv)
+        assert argv == Parser.split(joined)
+    except NotImplementedError:
+        pytest.skip("Not implemented")
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_system_info.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_system_info.py
new file mode 100644
index 0000000000000000000000000000000000000000..9bcc09050503e7f1bb3e94eecc902f512a9e42a1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/test_system_info.py
@@ -0,0 +1,334 @@
+import os
+import shutil
+import pytest
+from tempfile import mkstemp, mkdtemp
+from subprocess import Popen, PIPE
+import importlib.metadata
+from distutils.errors import DistutilsError
+
+from numpy.testing import assert_, assert_equal, assert_raises
+from numpy.distutils import ccompiler, customized_ccompiler
+from numpy.distutils.system_info import system_info, ConfigParser, mkl_info
+from numpy.distutils.system_info import AliasedOptionError
+from numpy.distutils.system_info import default_lib_dirs, default_include_dirs
+from numpy.distutils import _shell_utils
+
+
+try:
+    if importlib.metadata.version('setuptools') >= '60':
+        # pkg-resources gives deprecation warnings, and there may be more
+        # issues. We only support setuptools <60
+        pytest.skip("setuptools is too new", allow_module_level=True)
+except importlib.metadata.PackageNotFoundError:
+    # we don't require `setuptools`; if it is not found, continue
+    pass
+
+
+def get_class(name, notfound_action=1):
+    """
+    notfound_action:
+      0 - do nothing
+      1 - display warning message
+      2 - raise error
+    """
+    cl = {'temp1': Temp1Info,
+          'temp2': Temp2Info,
+          'duplicate_options': DuplicateOptionInfo,
+          }.get(name.lower(), _system_info)
+    return cl()
+
+simple_site = """
+[ALL]
+library_dirs = {dir1:s}{pathsep:s}{dir2:s}
+libraries = {lib1:s},{lib2:s}
+extra_compile_args = -I/fake/directory -I"/path with/spaces" -Os
+runtime_library_dirs = {dir1:s}
+
+[temp1]
+library_dirs = {dir1:s}
+libraries = {lib1:s}
+runtime_library_dirs = {dir1:s}
+
+[temp2]
+library_dirs = {dir2:s}
+libraries = {lib2:s}
+extra_link_args = -Wl,-rpath={lib2_escaped:s}
+rpath = {dir2:s}
+
+[duplicate_options]
+mylib_libs = {lib1:s}
+libraries = {lib2:s}
+"""
+site_cfg = simple_site
+
+fakelib_c_text = """
+/* This file is generated from numpy/distutils/testing/test_system_info.py */
+#include
+void foo(void) {
+   printf("Hello foo");
+}
+void bar(void) {
+   printf("Hello bar");
+}
+"""
+
+def have_compiler():
+    """ Return True if there appears to be an executable compiler
+    """
+    compiler = customized_ccompiler()
+    try:
+        cmd = compiler.compiler  # Unix compilers
+    except AttributeError:
+        try:
+            if not compiler.initialized:
+                compiler.initialize()  # MSVC is different
+        except (DistutilsError, ValueError):
+            return False
+        cmd = [compiler.cc]
+    try:
+        p = Popen(cmd, stdout=PIPE, stderr=PIPE)
+        p.stdout.close()
+        p.stderr.close()
+        p.wait()
+    except OSError:
+        return False
+    return True
+
+
+HAVE_COMPILER = have_compiler()
+
+
+class _system_info(system_info):
+
+    def __init__(self,
+                 default_lib_dirs=default_lib_dirs,
+                 default_include_dirs=default_include_dirs,
+                 verbosity=1,
+                 ):
+        self.__class__.info = {}
+        self.local_prefixes = []
+        defaults = {'library_dirs': '',
+                    'include_dirs': '',
+                    'runtime_library_dirs': '',
+                    'rpath': '',
+                    'src_dirs': '',
+                    'search_static_first': "0",
+                    'extra_compile_args': '',
+                    'extra_link_args': ''}
+        self.cp = ConfigParser(defaults)
+        # We have to parse the config files afterwards
+        # to have a consistent temporary filepath
+
+    def _check_libs(self, lib_dirs, libs, opt_libs, exts):
+        """Override _check_libs to return with all dirs """
+        info = {'libraries': libs, 'library_dirs': lib_dirs}
+        return info
+
+
+class Temp1Info(_system_info):
+    """For testing purposes"""
+    section = 'temp1'
+
+
+class Temp2Info(_system_info):
+    """For testing purposes"""
+    section = 'temp2'
+
+class DuplicateOptionInfo(_system_info):
+    """For testing purposes"""
+    section = 'duplicate_options'
+
+
+class TestSystemInfoReading:
+
+    def setup_method(self):
+        """ Create the libraries """
+        # Create 2 sources and 2 libraries
+        self._dir1 = mkdtemp()
+        self._src1 = os.path.join(self._dir1, 'foo.c')
+        self._lib1 = os.path.join(self._dir1, 'libfoo.so')
+        self._dir2 = mkdtemp()
+        self._src2 = os.path.join(self._dir2, 'bar.c')
+        self._lib2 = os.path.join(self._dir2, 'libbar.so')
+        # Update local site.cfg
+        global simple_site, site_cfg
+        site_cfg = simple_site.format(**{
+            'dir1': self._dir1,
+            'lib1': self._lib1,
+            'dir2': self._dir2,
+            'lib2': self._lib2,
+            'pathsep': os.pathsep,
+            'lib2_escaped': _shell_utils.NativeParser.join([self._lib2])
+        })
+        # Write site.cfg
+        fd, self._sitecfg = mkstemp()
+        os.close(fd)
+        with open(self._sitecfg, 'w') as fd:
+            fd.write(site_cfg)
+        # Write the sources
+        with open(self._src1, 'w') as fd:
+            fd.write(fakelib_c_text)
+        with open(self._src2, 'w') as fd:
+            fd.write(fakelib_c_text)
+        # We create all class-instances
+
+        def site_and_parse(c, site_cfg):
+            c.files = [site_cfg]
+            c.parse_config_files()
+            return c
+        self.c_default = site_and_parse(get_class('default'), self._sitecfg)
+        self.c_temp1 = site_and_parse(get_class('temp1'), self._sitecfg)
+        self.c_temp2 = site_and_parse(get_class('temp2'), self._sitecfg)
+        self.c_dup_options = site_and_parse(get_class('duplicate_options'),
+                                            self._sitecfg)
+
+    def teardown_method(self):
+        # Do each removal separately
+        try:
+            shutil.rmtree(self._dir1)
+        except Exception:
+            pass
+        try:
+            shutil.rmtree(self._dir2)
+        except Exception:
+            pass
+        try:
+            os.remove(self._sitecfg)
+        except Exception:
+            pass
+
+    def test_all(self):
+        # Read in all information in the ALL block
+        tsi = self.c_default
+        assert_equal(tsi.get_lib_dirs(), [self._dir1, self._dir2])
+        assert_equal(tsi.get_libraries(), [self._lib1, self._lib2])
+        assert_equal(tsi.get_runtime_lib_dirs(), [self._dir1])
+        extra = tsi.calc_extra_info()
+        assert_equal(extra['extra_compile_args'], ['-I/fake/directory', '-I/path with/spaces', '-Os'])
+
+    def test_temp1(self):
+        # Read in all information in the temp1 block
+        tsi = self.c_temp1
+        assert_equal(tsi.get_lib_dirs(), [self._dir1])
+        assert_equal(tsi.get_libraries(), [self._lib1])
+        assert_equal(tsi.get_runtime_lib_dirs(), [self._dir1])
+
+    def test_temp2(self):
+        # Read in all information in the temp2 block
+        tsi = self.c_temp2
+        assert_equal(tsi.get_lib_dirs(), [self._dir2])
+        assert_equal(tsi.get_libraries(), [self._lib2])
+        # Now from rpath and not runtime_library_dirs
+        assert_equal(tsi.get_runtime_lib_dirs(key='rpath'), [self._dir2])
+        extra = tsi.calc_extra_info()
+        assert_equal(extra['extra_link_args'], ['-Wl,-rpath=' + self._lib2])
+
+    def test_duplicate_options(self):
+        # Ensure that duplicates are raising an AliasedOptionError
+        tsi = self.c_dup_options
+        assert_raises(AliasedOptionError, tsi.get_option_single, "mylib_libs", "libraries")
+        assert_equal(tsi.get_libs("mylib_libs", [self._lib1]), [self._lib1])
+        assert_equal(tsi.get_libs("libraries", [self._lib2]), [self._lib2])
+
+    @pytest.mark.skipif(not HAVE_COMPILER, reason="Missing compiler")
+    def test_compile1(self):
+        # Compile source and link the first source
+        c = customized_ccompiler()
+        previousDir = os.getcwd()
+        try:
+            # Change directory to not screw up directories
+            os.chdir(self._dir1)
+            c.compile([os.path.basename(self._src1)], output_dir=self._dir1)
+            # Ensure that the object exists
+            assert_(os.path.isfile(self._src1.replace('.c', '.o')) or
+                    os.path.isfile(self._src1.replace('.c', '.obj')))
+        finally:
+            os.chdir(previousDir)
+
+    @pytest.mark.skipif(not HAVE_COMPILER, reason="Missing compiler")
+    @pytest.mark.skipif('msvc' in repr(ccompiler.new_compiler()),
+                         reason="Fails with MSVC compiler ")
+    def test_compile2(self):
+        # Compile source and link the second source
+        tsi = self.c_temp2
+        c = customized_ccompiler()
+        extra_link_args = tsi.calc_extra_info()['extra_link_args']
+        previousDir = os.getcwd()
+        try:
+            # Change directory to not screw up directories
+            os.chdir(self._dir2)
+            c.compile([os.path.basename(self._src2)], output_dir=self._dir2,
+                      extra_postargs=extra_link_args)
+            # Ensure that the object exists
+            assert_(os.path.isfile(self._src2.replace('.c', '.o')))
+        finally:
+            os.chdir(previousDir)
+
+    HAS_MKL = "mkl_rt" in mkl_info().calc_libraries_info().get("libraries", [])
+
+    @pytest.mark.xfail(HAS_MKL, reason=("`[DEFAULT]` override doesn't work if "
+                                        "numpy is built with MKL support"))
+    def test_overrides(self):
+        previousDir = os.getcwd()
+        cfg = os.path.join(self._dir1, 'site.cfg')
+        shutil.copy(self._sitecfg, cfg)
+        try:
+            os.chdir(self._dir1)
+            # Check that the '[ALL]' section does not override
+            # missing values from other sections
+            info = mkl_info()
+            lib_dirs = info.cp['ALL']['library_dirs'].split(os.pathsep)
+            assert info.get_lib_dirs() != lib_dirs
+
+            # But if we copy the values to a '[mkl]' section the value
+            # is correct
+            with open(cfg) as fid:
+                mkl = fid.read().replace('[ALL]', '[mkl]', 1)
+            with open(cfg, 'w') as fid:
+                fid.write(mkl)
+            info = mkl_info()
+            assert info.get_lib_dirs() == lib_dirs
+
+            # Also, the values will be taken from a section named '[DEFAULT]'
+            with open(cfg) as fid:
+                dflt = fid.read().replace('[mkl]', '[DEFAULT]', 1)
+            with open(cfg, 'w') as fid:
+                fid.write(dflt)
+            info = mkl_info()
+            assert info.get_lib_dirs() == lib_dirs
+        finally:
+            os.chdir(previousDir)
+
+
+def test_distutils_parse_env_order(monkeypatch):
+    from numpy.distutils.system_info import _parse_env_order
+    env = 'NPY_TESTS_DISTUTILS_PARSE_ENV_ORDER'
+
+    base_order = list('abcdef')
+
+    monkeypatch.setenv(env, 'b,i,e,f')
+    order, unknown = _parse_env_order(base_order, env)
+    assert len(order) == 3
+    assert order == list('bef')
+    assert len(unknown) == 1
+
+    # For when LAPACK/BLAS optimization is disabled
+    monkeypatch.setenv(env, '')
+    order, unknown = _parse_env_order(base_order, env)
+    assert len(order) == 0
+    assert len(unknown) == 0
+
+    for prefix in '^!':
+        monkeypatch.setenv(env, f'{prefix}b,i,e')
+        order, unknown = _parse_env_order(base_order, env)
+        assert len(order) == 4
+        assert order == list('acdf')
+        assert len(unknown) == 1
+
+    with pytest.raises(ValueError):
+        monkeypatch.setenv(env, 'b,^e,i')
+        _parse_env_order(base_order, env)
+
+    with pytest.raises(ValueError):
+        monkeypatch.setenv(env, '!b,^e,i')
+        _parse_env_order(base_order, env)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/utilities.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/utilities.py
new file mode 100644
index 0000000000000000000000000000000000000000..5016a83d2164116dac51f487977e5c9809203cb0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/tests/utilities.py
@@ -0,0 +1,90 @@
+# Kanged out of numpy.f2py.tests.util for test_build_ext
+from numpy.testing import IS_WASM
+import textwrap
+import shutil
+import tempfile
+import os
+import re
+import subprocess
+import sys
+
+#
+# Check if compilers are available at all...
+#
+
+_compiler_status = None
+
+
+def _get_compiler_status():
+    global _compiler_status
+    if _compiler_status is not None:
+        return _compiler_status
+
+    _compiler_status = (False, False, False)
+    if IS_WASM:
+        # Can't run compiler from inside WASM.
+        return _compiler_status
+
+    # XXX: this is really ugly. But I don't know how to invoke Distutils
+    #      in a safer way...
+    code = textwrap.dedent(
+        f"""\
+        import os
+        import sys
+        sys.path = {repr(sys.path)}
+
+        def configuration(parent_name='',top_path=None):
+            global config
+            from numpy.distutils.misc_util import Configuration
+            config = Configuration('', parent_name, top_path)
+            return config
+
+        from numpy.distutils.core import setup
+        setup(configuration=configuration)
+
+        config_cmd = config.get_config_cmd()
+        have_c = config_cmd.try_compile('void foo() {{}}')
+        print('COMPILERS:%%d,%%d,%%d' %% (have_c,
+                                          config.have_f77c(),
+                                          config.have_f90c()))
+        sys.exit(99)
+        """
+    )
+    code = code % dict(syspath=repr(sys.path))
+
+    tmpdir = tempfile.mkdtemp()
+    try:
+        script = os.path.join(tmpdir, "setup.py")
+
+        with open(script, "w") as f:
+            f.write(code)
+
+        cmd = [sys.executable, "setup.py", "config"]
+        p = subprocess.Popen(
+            cmd, stdout=subprocess.PIPE, stderr=subprocess.STDOUT, cwd=tmpdir
+        )
+        out, err = p.communicate()
+    finally:
+        shutil.rmtree(tmpdir)
+
+    m = re.search(rb"COMPILERS:(\d+),(\d+),(\d+)", out)
+    if m:
+        _compiler_status = (
+            bool(int(m.group(1))),
+            bool(int(m.group(2))),
+            bool(int(m.group(3))),
+        )
+    # Finished
+    return _compiler_status
+
+
+def has_c_compiler():
+    return _get_compiler_status()[0]
+
+
+def has_f77_compiler():
+    return _get_compiler_status()[1]
+
+
+def has_f90_compiler():
+    return _get_compiler_status()[2]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/unixccompiler.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/unixccompiler.py
new file mode 100644
index 0000000000000000000000000000000000000000..4884960fdf227497df644b71b129ce561e3b49e0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/distutils/unixccompiler.py
@@ -0,0 +1,141 @@
+"""
+unixccompiler - can handle very long argument lists for ar.
+
+"""
+import os
+import sys
+import subprocess
+import shlex
+
+from distutils.errors import CompileError, DistutilsExecError, LibError
+from distutils.unixccompiler import UnixCCompiler
+from numpy.distutils.ccompiler import replace_method
+from numpy.distutils.misc_util import _commandline_dep_string
+from numpy.distutils import log
+
+# Note that UnixCCompiler._compile appeared in Python 2.3
+def UnixCCompiler__compile(self, obj, src, ext, cc_args, extra_postargs, pp_opts):
+    """Compile a single source files with a Unix-style compiler."""
+    # HP ad-hoc fix, see ticket 1383
+    ccomp = self.compiler_so
+    if ccomp[0] == 'aCC':
+        # remove flags that will trigger ANSI-C mode for aCC
+        if '-Ae' in ccomp:
+            ccomp.remove('-Ae')
+        if '-Aa' in ccomp:
+            ccomp.remove('-Aa')
+        # add flags for (almost) sane C++ handling
+        ccomp += ['-AA']
+        self.compiler_so = ccomp
+    # ensure OPT environment variable is read
+    if 'OPT' in os.environ:
+        # XXX who uses this?
+        from sysconfig import get_config_vars
+        opt = shlex.join(shlex.split(os.environ['OPT']))
+        gcv_opt = shlex.join(shlex.split(get_config_vars('OPT')[0]))
+        ccomp_s = shlex.join(self.compiler_so)
+        if opt not in ccomp_s:
+            ccomp_s = ccomp_s.replace(gcv_opt, opt)
+            self.compiler_so = shlex.split(ccomp_s)
+        llink_s = shlex.join(self.linker_so)
+        if opt not in llink_s:
+            self.linker_so = self.linker_so + shlex.split(opt)
+
+    display = '%s: %s' % (os.path.basename(self.compiler_so[0]), src)
+
+    # gcc style automatic dependencies, outputs a makefile (-MF) that lists
+    # all headers needed by a c file as a side effect of compilation (-MMD)
+    if getattr(self, '_auto_depends', False):
+        deps = ['-MMD', '-MF', obj + '.d']
+    else:
+        deps = []
+
+    try:
+        self.spawn(self.compiler_so + cc_args + [src, '-o', obj] + deps +
+                   extra_postargs, display = display)
+    except DistutilsExecError as e:
+        msg = str(e)
+        raise CompileError(msg) from None
+
+    # add commandline flags to dependency file
+    if deps:
+        # After running the compiler, the file created will be in EBCDIC
+        # but will not be tagged as such. This tags it so the file does not
+        # have multiple different encodings being written to it
+        if sys.platform == 'zos':
+            subprocess.check_output(['chtag', '-tc', 'IBM1047', obj + '.d'])
+        with open(obj + '.d', 'a') as f:
+            f.write(_commandline_dep_string(cc_args, extra_postargs, pp_opts))
+
+replace_method(UnixCCompiler, '_compile', UnixCCompiler__compile)
+
+
+def UnixCCompiler_create_static_lib(self, objects, output_libname,
+                                    output_dir=None, debug=0, target_lang=None):
+    """
+    Build a static library in a separate sub-process.
+
+    Parameters
+    ----------
+    objects : list or tuple of str
+        List of paths to object files used to build the static library.
+    output_libname : str
+        The library name as an absolute or relative (if `output_dir` is used)
+        path.
+    output_dir : str, optional
+        The path to the output directory. Default is None, in which case
+        the ``output_dir`` attribute of the UnixCCompiler instance.
+    debug : bool, optional
+        This parameter is not used.
+    target_lang : str, optional
+        This parameter is not used.
+
+    Returns
+    -------
+    None
+
+    """
+    objects, output_dir = self._fix_object_args(objects, output_dir)
+
+    output_filename = \
+                    self.library_filename(output_libname, output_dir=output_dir)
+
+    if self._need_link(objects, output_filename):
+        try:
+            # previous .a may be screwed up; best to remove it first
+            # and recreate.
+            # Also, ar on OS X doesn't handle updating universal archives
+            os.unlink(output_filename)
+        except OSError:
+            pass
+        self.mkpath(os.path.dirname(output_filename))
+        tmp_objects = objects + self.objects
+        while tmp_objects:
+            objects = tmp_objects[:50]
+            tmp_objects = tmp_objects[50:]
+            display = '%s: adding %d object files to %s' % (
+                           os.path.basename(self.archiver[0]),
+                           len(objects), output_filename)
+            self.spawn(self.archiver + [output_filename] + objects,
+                       display = display)
+
+        # Not many Unices required ranlib anymore -- SunOS 4.x is, I
+        # think the only major Unix that does.  Maybe we need some
+        # platform intelligence here to skip ranlib if it's not
+        # needed -- or maybe Python's configure script took care of
+        # it for us, hence the check for leading colon.
+        if self.ranlib:
+            display = '%s:@ %s' % (os.path.basename(self.ranlib[0]),
+                                   output_filename)
+            try:
+                self.spawn(self.ranlib + [output_filename],
+                           display = display)
+            except DistutilsExecError as e:
+                msg = str(e)
+                raise LibError(msg) from None
+    else:
+        log.debug("skipping %s (up-to-date)", output_filename)
+    return
+
+replace_method(UnixCCompiler, 'create_static_lib',
+               UnixCCompiler_create_static_lib)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/doc/ufuncs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/doc/ufuncs.py
new file mode 100644
index 0000000000000000000000000000000000000000..7324168e1dc80c3452b170fec2060cddb040d54c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/doc/ufuncs.py
@@ -0,0 +1,138 @@
+"""
+===================
+Universal Functions
+===================
+
+Ufuncs are, generally speaking, mathematical functions or operations that are
+applied element-by-element to the contents of an array. That is, the result
+in each output array element only depends on the value in the corresponding
+input array (or arrays) and on no other array elements. NumPy comes with a
+large suite of ufuncs, and scipy extends that suite substantially. The simplest
+example is the addition operator: ::
+
+ >>> np.array([0,2,3,4]) + np.array([1,1,-1,2])
+ array([1, 3, 2, 6])
+
+The ufunc module lists all the available ufuncs in numpy. Documentation on
+the specific ufuncs may be found in those modules. This documentation is
+intended to address the more general aspects of ufuncs common to most of
+them. All of the ufuncs that make use of Python operators (e.g., +, -, etc.)
+have equivalent functions defined (e.g. add() for +)
+
+Type coercion
+=============
+
+What happens when a binary operator (e.g., +,-,\\*,/, etc) deals with arrays of
+two different types? What is the type of the result? Typically, the result is
+the higher of the two types. For example: ::
+
+ float32 + float64 -> float64
+ int8 + int32 -> int32
+ int16 + float32 -> float32
+ float32 + complex64 -> complex64
+
+There are some less obvious cases generally involving mixes of types
+(e.g. uints, ints and floats) where equal bit sizes for each are not
+capable of saving all the information in a different type of equivalent
+bit size. Some examples are int32 vs float32 or uint32 vs int32.
+Generally, the result is the higher type of larger size than both
+(if available). So: ::
+
+ int32 + float32 -> float64
+ uint32 + int32 -> int64
+
+Finally, the type coercion behavior when expressions involve Python
+scalars is different than that seen for arrays. Since Python has a
+limited number of types, combining a Python int with a dtype=np.int8
+array does not coerce to the higher type but instead, the type of the
+array prevails. So the rules for Python scalars combined with arrays is
+that the result will be that of the array equivalent the Python scalar
+if the Python scalar is of a higher 'kind' than the array (e.g., float
+vs. int), otherwise the resultant type will be that of the array.
+For example: ::
+
+  Python int + int8 -> int8
+  Python float + int8 -> float64
+
+ufunc methods
+=============
+
+Binary ufuncs support 4 methods.
+
+**.reduce(arr)** applies the binary operator to elements of the array in
+  sequence. For example: ::
+
+ >>> np.add.reduce(np.arange(10))  # adds all elements of array
+ 45
+
+For multidimensional arrays, the first dimension is reduced by default: ::
+
+ >>> np.add.reduce(np.arange(10).reshape(2,5))
+     array([ 5,  7,  9, 11, 13])
+
+The axis keyword can be used to specify different axes to reduce: ::
+
+ >>> np.add.reduce(np.arange(10).reshape(2,5),axis=1)
+ array([10, 35])
+
+**.accumulate(arr)** applies the binary operator and generates an
+equivalently shaped array that includes the accumulated amount for each
+element of the array. A couple examples: ::
+
+ >>> np.add.accumulate(np.arange(10))
+ array([ 0,  1,  3,  6, 10, 15, 21, 28, 36, 45])
+ >>> np.multiply.accumulate(np.arange(1,9))
+ array([    1,     2,     6,    24,   120,   720,  5040, 40320])
+
+The behavior for multidimensional arrays is the same as for .reduce(),
+as is the use of the axis keyword).
+
+**.reduceat(arr,indices)** allows one to apply reduce to selected parts
+  of an array. It is a difficult method to understand. See the documentation
+  at:
+
+**.outer(arr1,arr2)** generates an outer operation on the two arrays arr1 and
+  arr2. It will work on multidimensional arrays (the shape of the result is
+  the concatenation of the two input shapes.: ::
+
+ >>> np.multiply.outer(np.arange(3),np.arange(4))
+ array([[0, 0, 0, 0],
+        [0, 1, 2, 3],
+        [0, 2, 4, 6]])
+
+Output arguments
+================
+
+All ufuncs accept an optional output array. The array must be of the expected
+output shape. Beware that if the type of the output array is of a different
+(and lower) type than the output result, the results may be silently truncated
+or otherwise corrupted in the downcast to the lower type. This usage is useful
+when one wants to avoid creating large temporary arrays and instead allows one
+to reuse the same array memory repeatedly (at the expense of not being able to
+use more convenient operator notation in expressions). Note that when the
+output argument is used, the ufunc still returns a reference to the result.
+
+ >>> x = np.arange(2)
+ >>> np.add(np.arange(2, dtype=float), np.arange(2, dtype=float), x,
+ ...        casting='unsafe')
+ array([0, 2])
+ >>> x
+ array([0, 2])
+
+and & or as ufuncs
+==================
+
+Invariably people try to use the python 'and' and 'or' as logical operators
+(and quite understandably). But these operators do not behave as normal
+operators since Python treats these quite differently. They cannot be
+overloaded with array equivalents. Thus using 'and' or 'or' with an array
+results in an error. There are two alternatives:
+
+ 1) use the ufunc functions logical_and() and logical_or().
+ 2) use the bitwise operators & and \\|. The drawback of these is that if
+    the arguments to these operators are not boolean arrays, the result is
+    likely incorrect. On the other hand, most usages of logical_and and
+    logical_or are with boolean arrays. As long as one is careful, this is
+    a convenient way to apply these operators.
+
+"""
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/dtypes.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/dtypes.py
new file mode 100644
index 0000000000000000000000000000000000000000..550a29e18f292e65600108804636b833c75d1be4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/dtypes.py
@@ -0,0 +1,41 @@
+"""
+This module is home to specific dtypes related functionality and their classes.
+For more general information about dtypes, also see `numpy.dtype` and
+:ref:`arrays.dtypes`.
+
+Similar to the builtin ``types`` module, this submodule defines types (classes)
+that are not widely used directly.
+
+.. versionadded:: NumPy 1.25
+
+    The dtypes module is new in NumPy 1.25.  Previously DType classes were
+    only accessible indirectly.
+
+
+DType classes
+-------------
+
+The following are the classes of the corresponding NumPy dtype instances and
+NumPy scalar types.  The classes can be used in ``isinstance`` checks and can
+also be instantiated or used directly.  Direct use of these classes is not
+typical, since their scalar counterparts (e.g. ``np.float64``) or strings
+like ``"float64"`` can be used.
+"""
+
+# See doc/source/reference/routines.dtypes.rst for module-level docs
+
+__all__ = []
+
+
+def _add_dtype_helper(DType, alias):
+    # Function to add DTypes a bit more conveniently without channeling them
+    # through `numpy._core._multiarray_umath` namespace or similar.
+    from numpy import dtypes
+
+    setattr(dtypes, DType.__name__, DType)
+    __all__.append(DType.__name__)
+
+    if alias:
+        alias = alias.removeprefix("numpy.dtypes.")
+        setattr(dtypes, alias, DType)
+        __all__.append(alias)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/dtypes.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/dtypes.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..11e5611653fa616d96148bba378b486b8fbf33d5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/dtypes.pyi
@@ -0,0 +1,607 @@
+# ruff: noqa: ANN401
+from types import MemberDescriptorType
+from typing import Any, ClassVar, Generic, NoReturn, TypeAlias, final, type_check_only
+from typing import Literal as L
+
+from typing_extensions import LiteralString, Self, TypeVar
+
+import numpy as np
+
+__all__ = [  # noqa: RUF022
+    'BoolDType',
+    'Int8DType',
+    'ByteDType',
+    'UInt8DType',
+    'UByteDType',
+    'Int16DType',
+    'ShortDType',
+    'UInt16DType',
+    'UShortDType',
+    'Int32DType',
+    'IntDType',
+    'UInt32DType',
+    'UIntDType',
+    'Int64DType',
+    'LongDType',
+    'UInt64DType',
+    'ULongDType',
+    'LongLongDType',
+    'ULongLongDType',
+    'Float16DType',
+    'Float32DType',
+    'Float64DType',
+    'LongDoubleDType',
+    'Complex64DType',
+    'Complex128DType',
+    'CLongDoubleDType',
+    'ObjectDType',
+    'BytesDType',
+    'StrDType',
+    'VoidDType',
+    'DateTime64DType',
+    'TimeDelta64DType',
+    'StringDType',
+]
+
+# Helper base classes (typing-only)
+
+_SCT_co = TypeVar("_SCT_co", bound=np.generic, covariant=True)
+
+@type_check_only
+class _SimpleDType(np.dtype[_SCT_co], Generic[_SCT_co]):  # type: ignore[misc]  # pyright: ignore[reportGeneralTypeIssues]
+    names: None  # pyright: ignore[reportIncompatibleVariableOverride]
+    def __new__(cls, /) -> Self: ...
+    def __getitem__(self, key: Any, /) -> NoReturn: ...
+    @property
+    def base(self) -> np.dtype[_SCT_co]: ...
+    @property
+    def fields(self) -> None: ...
+    @property
+    def isalignedstruct(self) -> L[False]: ...
+    @property
+    def isnative(self) -> L[True]: ...
+    @property
+    def ndim(self) -> L[0]: ...
+    @property
+    def shape(self) -> tuple[()]: ...
+    @property
+    def subdtype(self) -> None: ...
+
+@type_check_only
+class _LiteralDType(_SimpleDType[_SCT_co], Generic[_SCT_co]):  # type: ignore[misc]
+    @property
+    def flags(self) -> L[0]: ...
+    @property
+    def hasobject(self) -> L[False]: ...
+
+# Helper mixins (typing-only):
+
+_KindT_co = TypeVar("_KindT_co", bound=LiteralString, covariant=True)
+_CharT_co = TypeVar("_CharT_co", bound=LiteralString, covariant=True)
+_NumT_co = TypeVar("_NumT_co", bound=int, covariant=True)
+
+@type_check_only
+class _TypeCodes(Generic[_KindT_co, _CharT_co, _NumT_co]):
+    @final
+    @property
+    def kind(self) -> _KindT_co: ...
+    @final
+    @property
+    def char(self) -> _CharT_co: ...
+    @final
+    @property
+    def num(self) -> _NumT_co: ...
+
+@type_check_only
+class _NoOrder:
+    @final
+    @property
+    def byteorder(self) -> L["|"]: ...
+
+@type_check_only
+class _NativeOrder:
+    @final
+    @property
+    def byteorder(self) -> L["="]: ...
+
+_DataSize_co = TypeVar("_DataSize_co", bound=int, covariant=True)
+_ItemSize_co = TypeVar("_ItemSize_co", bound=int, covariant=True, default=int)
+
+@type_check_only
+class _NBit(Generic[_DataSize_co, _ItemSize_co]):
+    @final
+    @property
+    def alignment(self) -> _DataSize_co: ...
+    @final
+    @property
+    def itemsize(self) -> _ItemSize_co: ...
+
+@type_check_only
+class _8Bit(_NoOrder, _NBit[L[1], L[1]]): ...
+
+# Boolean:
+
+@final
+class BoolDType(  # type: ignore[misc]
+    _TypeCodes[L["b"], L["?"], L[0]],
+    _8Bit,
+    _LiteralDType[np.bool],
+):
+    @property
+    def name(self) -> L["bool"]: ...
+    @property
+    def str(self) -> L["|b1"]: ...
+
+# Sized integers:
+
+@final
+class Int8DType(  # type: ignore[misc]
+    _TypeCodes[L["i"], L["b"], L[1]],
+    _8Bit,
+    _LiteralDType[np.int8],
+):
+    @property
+    def name(self) -> L["int8"]: ...
+    @property
+    def str(self) -> L["|i1"]: ...
+
+@final
+class UInt8DType(  # type: ignore[misc]
+    _TypeCodes[L["u"], L["B"], L[2]],
+    _8Bit,
+    _LiteralDType[np.uint8],
+):
+    @property
+    def name(self) -> L["uint8"]: ...
+    @property
+    def str(self) -> L["|u1"]: ...
+
+@final
+class Int16DType(  # type: ignore[misc]
+    _TypeCodes[L["i"], L["h"], L[3]],
+    _NativeOrder,
+    _NBit[L[2], L[2]],
+    _LiteralDType[np.int16],
+):
+    @property
+    def name(self) -> L["int16"]: ...
+    @property
+    def str(self) -> L["i2"]: ...
+
+@final
+class UInt16DType(  # type: ignore[misc]
+    _TypeCodes[L["u"], L["H"], L[4]],
+    _NativeOrder,
+    _NBit[L[2], L[2]],
+    _LiteralDType[np.uint16],
+):
+    @property
+    def name(self) -> L["uint16"]: ...
+    @property
+    def str(self) -> L["u2"]: ...
+
+@final
+class Int32DType(  # type: ignore[misc]
+    _TypeCodes[L["i"], L["i", "l"], L[5, 7]],
+    _NativeOrder,
+    _NBit[L[4], L[4]],
+    _LiteralDType[np.int32],
+):
+    @property
+    def name(self) -> L["int32"]: ...
+    @property
+    def str(self) -> L["i4"]: ...
+
+@final
+class UInt32DType(  # type: ignore[misc]
+    _TypeCodes[L["u"], L["I", "L"], L[6, 8]],
+    _NativeOrder,
+    _NBit[L[4], L[4]],
+    _LiteralDType[np.uint32],
+):
+    @property
+    def name(self) -> L["uint32"]: ...
+    @property
+    def str(self) -> L["u4"]: ...
+
+@final
+class Int64DType(  # type: ignore[misc]
+    _TypeCodes[L["i"], L["l", "q"], L[7, 9]],
+    _NativeOrder,
+    _NBit[L[8], L[8]],
+    _LiteralDType[np.int64],
+):
+    @property
+    def name(self) -> L["int64"]: ...
+    @property
+    def str(self) -> L["i8"]: ...
+
+@final
+class UInt64DType(  # type: ignore[misc]
+    _TypeCodes[L["u"], L["L", "Q"], L[8, 10]],
+    _NativeOrder,
+    _NBit[L[8], L[8]],
+    _LiteralDType[np.uint64],
+):
+    @property
+    def name(self) -> L["uint64"]: ...
+    @property
+    def str(self) -> L["u8"]: ...
+
+# Standard C-named version/alias:
+# NOTE: Don't make these `Final`: it will break stubtest
+ByteDType = Int8DType
+UByteDType = UInt8DType
+ShortDType = Int16DType
+UShortDType = UInt16DType
+
+@final
+class IntDType(  # type: ignore[misc]
+    _TypeCodes[L["i"], L["i"], L[5]],
+    _NativeOrder,
+    _NBit[L[4], L[4]],
+    _LiteralDType[np.intc],
+):
+    @property
+    def name(self) -> L["int32"]: ...
+    @property
+    def str(self) -> L["i4"]: ...
+
+@final
+class UIntDType(  # type: ignore[misc]
+    _TypeCodes[L["u"], L["I"], L[6]],
+    _NativeOrder,
+    _NBit[L[4], L[4]],
+    _LiteralDType[np.uintc],
+):
+    @property
+    def name(self) -> L["uint32"]: ...
+    @property
+    def str(self) -> L["u4"]: ...
+
+@final
+class LongDType(  # type: ignore[misc]
+    _TypeCodes[L["i"], L["l"], L[7]],
+    _NativeOrder,
+    _NBit[L[4, 8], L[4, 8]],
+    _LiteralDType[np.long],
+):
+    @property
+    def name(self) -> L["int32", "int64"]: ...
+    @property
+    def str(self) -> L["i4", "i8"]: ...
+
+@final
+class ULongDType(  # type: ignore[misc]
+    _TypeCodes[L["u"], L["L"], L[8]],
+    _NativeOrder,
+    _NBit[L[4, 8], L[4, 8]],
+    _LiteralDType[np.ulong],
+):
+    @property
+    def name(self) -> L["uint32", "uint64"]: ...
+    @property
+    def str(self) -> L["u4", "u8"]: ...
+
+@final
+class LongLongDType(  # type: ignore[misc]
+    _TypeCodes[L["i"], L["q"], L[9]],
+    _NativeOrder,
+    _NBit[L[8], L[8]],
+    _LiteralDType[np.longlong],
+):
+    @property
+    def name(self) -> L["int64"]: ...
+    @property
+    def str(self) -> L["i8"]: ...
+
+@final
+class ULongLongDType(  # type: ignore[misc]
+    _TypeCodes[L["u"], L["Q"], L[10]],
+    _NativeOrder,
+    _NBit[L[8], L[8]],
+    _LiteralDType[np.ulonglong],
+):
+    @property
+    def name(self) -> L["uint64"]: ...
+    @property
+    def str(self) -> L["u8"]: ...
+
+# Floats:
+
+@final
+class Float16DType(  # type: ignore[misc]
+    _TypeCodes[L["f"], L["e"], L[23]],
+    _NativeOrder,
+    _NBit[L[2], L[2]],
+    _LiteralDType[np.float16],
+):
+    @property
+    def name(self) -> L["float16"]: ...
+    @property
+    def str(self) -> L["f2"]: ...
+
+@final
+class Float32DType(  # type: ignore[misc]
+    _TypeCodes[L["f"], L["f"], L[11]],
+    _NativeOrder,
+    _NBit[L[4], L[4]],
+    _LiteralDType[np.float32],
+):
+    @property
+    def name(self) -> L["float32"]: ...
+    @property
+    def str(self) -> L["f4"]: ...
+
+@final
+class Float64DType(  # type: ignore[misc]
+    _TypeCodes[L["f"], L["d"], L[12]],
+    _NativeOrder,
+    _NBit[L[8], L[8]],
+    _LiteralDType[np.float64],
+):
+    @property
+    def name(self) -> L["float64"]: ...
+    @property
+    def str(self) -> L["f8"]: ...
+
+@final
+class LongDoubleDType(  # type: ignore[misc]
+    _TypeCodes[L["f"], L["g"], L[13]],
+    _NativeOrder,
+    _NBit[L[8, 12, 16], L[8, 12, 16]],
+    _LiteralDType[np.longdouble],
+):
+    @property
+    def name(self) -> L["float64", "float96", "float128"]: ...
+    @property
+    def str(self) -> L["f8", "f12", "f16"]: ...
+
+# Complex:
+
+@final
+class Complex64DType(  # type: ignore[misc]
+    _TypeCodes[L["c"], L["F"], L[14]],
+    _NativeOrder,
+    _NBit[L[4], L[8]],
+    _LiteralDType[np.complex64],
+):
+    @property
+    def name(self) -> L["complex64"]: ...
+    @property
+    def str(self) -> L["c8"]: ...
+
+@final
+class Complex128DType(  # type: ignore[misc]
+    _TypeCodes[L["c"], L["D"], L[15]],
+    _NativeOrder,
+    _NBit[L[8], L[16]],
+    _LiteralDType[np.complex128],
+):
+    @property
+    def name(self) -> L["complex128"]: ...
+    @property
+    def str(self) -> L["c16"]: ...
+
+@final
+class CLongDoubleDType(  # type: ignore[misc]
+    _TypeCodes[L["c"], L["G"], L[16]],
+    _NativeOrder,
+    _NBit[L[8, 12, 16], L[16, 24, 32]],
+    _LiteralDType[np.clongdouble],
+):
+    @property
+    def name(self) -> L["complex128", "complex192", "complex256"]: ...
+    @property
+    def str(self) -> L["c16", "c24", "c32"]: ...
+
+# Python objects:
+
+@final
+class ObjectDType(  # type: ignore[misc]
+    _TypeCodes[L["O"], L["O"], L[17]],
+    _NoOrder,
+    _NBit[L[8], L[8]],
+    _SimpleDType[np.object_],
+):
+    @property
+    def hasobject(self) -> L[True]: ...
+    @property
+    def name(self) -> L["object"]: ...
+    @property
+    def str(self) -> L["|O"]: ...
+
+# Flexible:
+
+@final
+class BytesDType(  # type: ignore[misc]
+    _TypeCodes[L["S"], L["S"], L[18]],
+    _NoOrder,
+    _NBit[L[1],_ItemSize_co],
+    _SimpleDType[np.bytes_],
+    Generic[_ItemSize_co],
+):
+    def __new__(cls, size: _ItemSize_co, /) -> BytesDType[_ItemSize_co]: ...
+    @property
+    def hasobject(self) -> L[False]: ...
+    @property
+    def name(self) -> LiteralString: ...
+    @property
+    def str(self) -> LiteralString: ...
+
+@final
+class StrDType(  # type: ignore[misc]
+    _TypeCodes[L["U"], L["U"], L[19]],
+    _NativeOrder,
+    _NBit[L[4],_ItemSize_co],
+    _SimpleDType[np.str_],
+    Generic[_ItemSize_co],
+):
+    def __new__(cls, size: _ItemSize_co, /) -> StrDType[_ItemSize_co]: ...
+    @property
+    def hasobject(self) -> L[False]: ...
+    @property
+    def name(self) -> LiteralString: ...
+    @property
+    def str(self) -> LiteralString: ...
+
+@final
+class VoidDType(  # type: ignore[misc]
+    _TypeCodes[L["V"], L["V"], L[20]],
+    _NoOrder,
+    _NBit[L[1], _ItemSize_co],
+    np.dtype[np.void],  # pyright: ignore[reportGeneralTypeIssues]
+    Generic[_ItemSize_co],
+):
+    # NOTE: `VoidDType(...)` raises a `TypeError` at the moment
+    def __new__(cls, length: _ItemSize_co, /) -> NoReturn: ...
+    @property
+    def base(self) -> Self: ...
+    @property
+    def isalignedstruct(self) -> L[False]: ...
+    @property
+    def isnative(self) -> L[True]: ...
+    @property
+    def ndim(self) -> L[0]: ...
+    @property
+    def shape(self) -> tuple[()]: ...
+    @property
+    def subdtype(self) -> None: ...
+    @property
+    def name(self) -> LiteralString: ...
+    @property
+    def str(self) -> LiteralString: ...
+
+# Other:
+
+_DateUnit: TypeAlias = L["Y", "M", "W", "D"]
+_TimeUnit: TypeAlias = L["h", "m", "s", "ms", "us", "ns", "ps", "fs", "as"]
+_DateTimeUnit: TypeAlias = _DateUnit | _TimeUnit
+
+@final
+class DateTime64DType(  # type: ignore[misc]
+    _TypeCodes[L["M"], L["M"], L[21]],
+    _NativeOrder,
+    _NBit[L[8], L[8]],
+    _LiteralDType[np.datetime64],
+):
+    # NOTE: `DateTime64DType(...)` raises a `TypeError` at the moment
+    # TODO: Once implemented, don't forget the`unit: L["μs"]` overload.
+    def __new__(cls, unit: _DateTimeUnit, /) -> NoReturn: ...
+    @property
+    def name(self) -> L[
+        "datetime64",
+        "datetime64[Y]",
+        "datetime64[M]",
+        "datetime64[W]",
+        "datetime64[D]",
+        "datetime64[h]",
+        "datetime64[m]",
+        "datetime64[s]",
+        "datetime64[ms]",
+        "datetime64[us]",
+        "datetime64[ns]",
+        "datetime64[ps]",
+        "datetime64[fs]",
+        "datetime64[as]",
+    ]: ...
+    @property
+    def str(self) -> L[
+        "M8",
+        "M8[Y]",
+        "M8[M]",
+        "M8[W]",
+        "M8[D]",
+        "M8[h]",
+        "M8[m]",
+        "M8[s]",
+        "M8[ms]",
+        "M8[us]",
+        "M8[ns]",
+        "M8[ps]",
+        "M8[fs]",
+        "M8[as]",
+    ]: ...
+
+@final
+class TimeDelta64DType(  # type: ignore[misc]
+    _TypeCodes[L["m"], L["m"], L[22]],
+    _NativeOrder,
+    _NBit[L[8], L[8]],
+    _LiteralDType[np.timedelta64],
+):
+    # NOTE: `TimeDelta64DType(...)` raises a `TypeError` at the moment
+    # TODO: Once implemented, don't forget to overload on `unit: L["μs"]`.
+    def __new__(cls, unit: _DateTimeUnit, /) -> NoReturn: ...
+    @property
+    def name(self) -> L[
+        "timedelta64",
+        "timedelta64[Y]",
+        "timedelta64[M]",
+        "timedelta64[W]",
+        "timedelta64[D]",
+        "timedelta64[h]",
+        "timedelta64[m]",
+        "timedelta64[s]",
+        "timedelta64[ms]",
+        "timedelta64[us]",
+        "timedelta64[ns]",
+        "timedelta64[ps]",
+        "timedelta64[fs]",
+        "timedelta64[as]",
+    ]: ...
+    @property
+    def str(self) -> L[
+        "m8",
+        "m8[Y]",
+        "m8[M]",
+        "m8[W]",
+        "m8[D]",
+        "m8[h]",
+        "m8[m]",
+        "m8[s]",
+        "m8[ms]",
+        "m8[us]",
+        "m8[ns]",
+        "m8[ps]",
+        "m8[fs]",
+        "m8[as]",
+    ]: ...
+
+@final
+class StringDType(  # type: ignore[misc]
+    _TypeCodes[L["T"], L["T"], L[2056]],
+    _NativeOrder,
+    _NBit[L[8], L[16]],
+    # TODO: Replace the (invalid) `str` with the scalar type, once implemented
+    np.dtype[str],  # type: ignore[type-var]  # pyright: ignore[reportGeneralTypeIssues,reportInvalidTypeArguments]
+):
+    @property
+    def coerce(self) -> L[True]: ...
+    na_object: ClassVar[MemberDescriptorType]  # does not get instantiated
+
+    #
+    def __new__(cls, /) -> StringDType: ...
+    def __getitem__(self, key: Any, /) -> NoReturn: ...
+    @property
+    def base(self) -> StringDType: ...
+    @property
+    def fields(self) -> None: ...
+    @property
+    def hasobject(self) -> L[True]: ...
+    @property
+    def isalignedstruct(self) -> L[False]: ...
+    @property
+    def isnative(self) -> L[True]: ...
+    @property
+    def name(self) -> L["StringDType64", "StringDType128"]: ...
+    @property
+    def ndim(self) -> L[0]: ...
+    @property
+    def shape(self) -> tuple[()]: ...
+    @property
+    def str(self) -> L["|T8", "|T16"]: ...
+    @property
+    def subdtype(self) -> None: ...
+    @property
+    def type(self) -> type[str]: ...  # type: ignore[valid-type]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/exceptions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/exceptions.py
new file mode 100644
index 0000000000000000000000000000000000000000..9bf74fc4d0a3b11464e9fa660cf1de7fade4bb18
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/exceptions.py
@@ -0,0 +1,247 @@
+"""
+Exceptions and Warnings (:mod:`numpy.exceptions`)
+=================================================
+
+General exceptions used by NumPy.  Note that some exceptions may be module
+specific, such as linear algebra errors.
+
+.. versionadded:: NumPy 1.25
+
+    The exceptions module is new in NumPy 1.25.  Older exceptions remain
+    available through the main NumPy namespace for compatibility.
+
+.. currentmodule:: numpy.exceptions
+
+Warnings
+--------
+.. autosummary::
+   :toctree: generated/
+
+   ComplexWarning             Given when converting complex to real.
+   VisibleDeprecationWarning  Same as a DeprecationWarning, but more visible.
+   RankWarning                Issued when the design matrix is rank deficient.
+
+Exceptions
+----------
+.. autosummary::
+   :toctree: generated/
+
+    AxisError          Given when an axis was invalid.
+    DTypePromotionError   Given when no common dtype could be found.
+    TooHardError       Error specific to `numpy.shares_memory`.
+
+"""
+
+
+__all__ = [
+    "ComplexWarning", "VisibleDeprecationWarning", "ModuleDeprecationWarning",
+    "TooHardError", "AxisError", "DTypePromotionError"]
+
+
+# Disallow reloading this module so as to preserve the identities of the
+# classes defined here.
+if '_is_loaded' in globals():
+    raise RuntimeError('Reloading numpy._globals is not allowed')
+_is_loaded = True
+
+
+class ComplexWarning(RuntimeWarning):
+    """
+    The warning raised when casting a complex dtype to a real dtype.
+
+    As implemented, casting a complex number to a real discards its imaginary
+    part, but this behavior may not be what the user actually wants.
+
+    """
+    pass
+
+
+class ModuleDeprecationWarning(DeprecationWarning):
+    """Module deprecation warning.
+
+    .. warning::
+
+        This warning should not be used, since nose testing is not relevant
+        anymore.
+
+    The nose tester turns ordinary Deprecation warnings into test failures.
+    That makes it hard to deprecate whole modules, because they get
+    imported by default. So this is a special Deprecation warning that the
+    nose tester will let pass without making tests fail.
+
+    """
+    pass
+
+
+class VisibleDeprecationWarning(UserWarning):
+    """Visible deprecation warning.
+
+    By default, python will not show deprecation warnings, so this class
+    can be used when a very visible warning is helpful, for example because
+    the usage is most likely a user bug.
+
+    """
+    pass
+
+
+class RankWarning(RuntimeWarning):
+    """Matrix rank warning.
+
+    Issued by polynomial functions when the design matrix is rank deficient.
+
+    """
+    pass
+
+
+# Exception used in shares_memory()
+class TooHardError(RuntimeError):
+    """max_work was exceeded.
+
+    This is raised whenever the maximum number of candidate solutions
+    to consider specified by the ``max_work`` parameter is exceeded.
+    Assigning a finite number to max_work may have caused the operation
+    to fail.
+
+    """
+    pass
+
+
+class AxisError(ValueError, IndexError):
+    """Axis supplied was invalid.
+
+    This is raised whenever an ``axis`` parameter is specified that is larger
+    than the number of array dimensions.
+    For compatibility with code written against older numpy versions, which
+    raised a mixture of :exc:`ValueError` and :exc:`IndexError` for this
+    situation, this exception subclasses both to ensure that
+    ``except ValueError`` and ``except IndexError`` statements continue
+    to catch ``AxisError``.
+
+    Parameters
+    ----------
+    axis : int or str
+        The out of bounds axis or a custom exception message.
+        If an axis is provided, then `ndim` should be specified as well.
+    ndim : int, optional
+        The number of array dimensions.
+    msg_prefix : str, optional
+        A prefix for the exception message.
+
+    Attributes
+    ----------
+    axis : int, optional
+        The out of bounds axis or ``None`` if a custom exception
+        message was provided. This should be the axis as passed by
+        the user, before any normalization to resolve negative indices.
+
+        .. versionadded:: 1.22
+    ndim : int, optional
+        The number of array dimensions or ``None`` if a custom exception
+        message was provided.
+
+        .. versionadded:: 1.22
+
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> array_1d = np.arange(10)
+    >>> np.cumsum(array_1d, axis=1)
+    Traceback (most recent call last):
+      ...
+    numpy.exceptions.AxisError: axis 1 is out of bounds for array of dimension 1
+
+    Negative axes are preserved:
+
+    >>> np.cumsum(array_1d, axis=-2)
+    Traceback (most recent call last):
+      ...
+    numpy.exceptions.AxisError: axis -2 is out of bounds for array of dimension 1
+
+    The class constructor generally takes the axis and arrays'
+    dimensionality as arguments:
+
+    >>> print(np.exceptions.AxisError(2, 1, msg_prefix='error'))
+    error: axis 2 is out of bounds for array of dimension 1
+
+    Alternatively, a custom exception message can be passed:
+
+    >>> print(np.exceptions.AxisError('Custom error message'))
+    Custom error message
+
+    """
+
+    __slots__ = ("axis", "ndim", "_msg")
+
+    def __init__(self, axis, ndim=None, msg_prefix=None):
+        if ndim is msg_prefix is None:
+            # single-argument form: directly set the error message
+            self._msg = axis
+            self.axis = None
+            self.ndim = None
+        else:
+            self._msg = msg_prefix
+            self.axis = axis
+            self.ndim = ndim
+
+    def __str__(self):
+        axis = self.axis
+        ndim = self.ndim
+
+        if axis is ndim is None:
+            return self._msg
+        else:
+            msg = f"axis {axis} is out of bounds for array of dimension {ndim}"
+            if self._msg is not None:
+                msg = f"{self._msg}: {msg}"
+            return msg
+
+
+class DTypePromotionError(TypeError):
+    """Multiple DTypes could not be converted to a common one.
+
+    This exception derives from ``TypeError`` and is raised whenever dtypes
+    cannot be converted to a single common one.  This can be because they
+    are of a different category/class or incompatible instances of the same
+    one (see Examples).
+
+    Notes
+    -----
+    Many functions will use promotion to find the correct result and
+    implementation.  For these functions the error will typically be chained
+    with a more specific error indicating that no implementation was found
+    for the input dtypes.
+
+    Typically promotion should be considered "invalid" between the dtypes of
+    two arrays when `arr1 == arr2` can safely return all ``False`` because the
+    dtypes are fundamentally different.
+
+    Examples
+    --------
+    Datetimes and complex numbers are incompatible classes and cannot be
+    promoted:
+
+    >>> import numpy as np
+    >>> np.result_type(np.dtype("M8[s]"), np.complex128)  # doctest: +IGNORE_EXCEPTION_DETAIL
+    Traceback (most recent call last):
+     ...
+    DTypePromotionError: The DType  could not
+    be promoted by . This means that no common
+    DType exists for the given inputs. For example they cannot be stored in a
+    single array unless the dtype is `object`. The full list of DTypes is:
+    (, )
+
+    For example for structured dtypes, the structure can mismatch and the
+    same ``DTypePromotionError`` is given when two structured dtypes with
+    a mismatch in their number of fields is given:
+
+    >>> dtype1 = np.dtype([("field1", np.float64), ("field2", np.int64)])
+    >>> dtype2 = np.dtype([("field1", np.float64)])
+    >>> np.promote_types(dtype1, dtype2)  # doctest: +IGNORE_EXCEPTION_DETAIL
+    Traceback (most recent call last):
+     ...
+    DTypePromotionError: field names `('field1', 'field2')` and `('field1',)`
+    mismatch.
+
+    """  # NOQA
+    pass
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/exceptions.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/exceptions.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..7caa96c4673c0ab35b7d470ae100a82ea466ba39
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/exceptions.pyi
@@ -0,0 +1,25 @@
+from typing import overload
+
+__all__ = [
+    "ComplexWarning",
+    "VisibleDeprecationWarning",
+    "ModuleDeprecationWarning",
+    "TooHardError",
+    "AxisError",
+    "DTypePromotionError",
+]
+
+class ComplexWarning(RuntimeWarning): ...
+class ModuleDeprecationWarning(DeprecationWarning): ...
+class VisibleDeprecationWarning(UserWarning): ...
+class RankWarning(RuntimeWarning): ...
+class TooHardError(RuntimeError): ...
+class DTypePromotionError(TypeError): ...
+
+class AxisError(ValueError, IndexError):
+    axis: None | int
+    ndim: None | int
+    @overload
+    def __init__(self, axis: str, ndim: None = ..., msg_prefix: None = ...) -> None: ...
+    @overload
+    def __init__(self, axis: int, ndim: int, msg_prefix: None | str = ...) -> None: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..8bf1d637ec0c394d249f4e24d2c778915306a244
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__init__.py
@@ -0,0 +1,87 @@
+"""Fortran to Python Interface Generator.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the terms
+of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+__all__ = ['run_main', 'get_include']
+
+import sys
+import subprocess
+import os
+import warnings
+
+from numpy.exceptions import VisibleDeprecationWarning
+from . import f2py2e
+from . import diagnose
+
+run_main = f2py2e.run_main
+main = f2py2e.main
+
+
+def get_include():
+    """
+    Return the directory that contains the ``fortranobject.c`` and ``.h`` files.
+
+    .. note::
+
+        This function is not needed when building an extension with
+        `numpy.distutils` directly from ``.f`` and/or ``.pyf`` files
+        in one go.
+
+    Python extension modules built with f2py-generated code need to use
+    ``fortranobject.c`` as a source file, and include the ``fortranobject.h``
+    header. This function can be used to obtain the directory containing
+    both of these files.
+
+    Returns
+    -------
+    include_path : str
+        Absolute path to the directory containing ``fortranobject.c`` and
+        ``fortranobject.h``.
+
+    Notes
+    -----
+    .. versionadded:: 1.21.1
+
+    Unless the build system you are using has specific support for f2py,
+    building a Python extension using a ``.pyf`` signature file is a two-step
+    process. For a module ``mymod``:
+
+    * Step 1: run ``python -m numpy.f2py mymod.pyf --quiet``. This
+      generates ``mymodmodule.c`` and (if needed)
+      ``mymod-f2pywrappers.f`` files next to ``mymod.pyf``.
+    * Step 2: build your Python extension module. This requires the
+      following source files:
+
+      * ``mymodmodule.c``
+      * ``mymod-f2pywrappers.f`` (if it was generated in Step 1)
+      * ``fortranobject.c``
+
+    See Also
+    --------
+    numpy.get_include : function that returns the numpy include directory
+
+    """
+    return os.path.join(os.path.dirname(__file__), 'src')
+
+
+def __getattr__(attr):
+
+    # Avoid importing things that aren't needed for building
+    # which might import the main numpy module
+    if attr == "test":
+        from numpy._pytesttester import PytestTester
+        test = PytestTester(__name__)
+        return test
+
+    else:
+        raise AttributeError("module {!r} has no attribute "
+                              "{!r}".format(__name__, attr))
+
+
+def __dir__():
+    return list(globals().keys() | {"test"})
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__init__.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..9cf1247f77976664992c0403a98bf3d9c23e639b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__init__.pyi
@@ -0,0 +1,42 @@
+from _typeshed import StrOrBytesPath
+import subprocess
+from collections.abc import Iterable
+from typing import Literal as L, overload, TypedDict, type_check_only
+
+__all__ = ["run_main", "get_include"]
+
+@type_check_only
+class _F2PyDictBase(TypedDict):
+    csrc: list[str]
+    h: list[str]
+
+@type_check_only
+class _F2PyDict(_F2PyDictBase, total=False):
+    fsrc: list[str]
+    ltx: list[str]
+
+def run_main(comline_list: Iterable[str]) -> dict[str, _F2PyDict]: ...
+
+@overload
+def compile(
+    source: str | bytes,
+    modulename: str = ...,
+    extra_args: str | list[str] = ...,
+    verbose: bool = ...,
+    source_fn: StrOrBytesPath | None = ...,
+    extension: L[".f", ".f90"] = ...,
+    full_output: L[False] = ...,
+) -> int: ...
+@overload
+def compile(
+    source: str | bytes,
+    modulename: str = ...,
+    extra_args: str | list[str] = ...,
+    verbose: bool = ...,
+    source_fn: StrOrBytesPath | None = ...,
+    extension: L[".f", ".f90"] = ...,
+    *,
+    full_output: L[True],
+) -> subprocess.CompletedProcess[bytes]: ...
+
+def get_include() -> str: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__main__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__main__.py
new file mode 100644
index 0000000000000000000000000000000000000000..936a753a2796896667aa782277be41b40af061d3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__main__.py
@@ -0,0 +1,5 @@
+# See:
+# https://web.archive.org/web/20140822061353/http://cens.ioc.ee/projects/f2py2e
+from numpy.f2py.f2py2e import main
+
+main()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__version__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__version__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e20d7c1dbb38807d248ff886e30425e7ff597299
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/__version__.py
@@ -0,0 +1 @@
+from numpy.version import version
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e91393c14be39b20d5e94e262e91a05052681318
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/__init__.py
@@ -0,0 +1,9 @@
+def f2py_build_generator(name):
+    if name == "meson":
+        from ._meson import MesonBackend
+        return MesonBackend
+    elif name == "distutils":
+        from ._distutils import DistutilsBackend
+        return DistutilsBackend
+    else:
+        raise ValueError(f"Unknown backend: {name}")
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_backend.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_backend.py
new file mode 100644
index 0000000000000000000000000000000000000000..a7d43d2587b2f4886372f44c9bac7f5b840d7612
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_backend.py
@@ -0,0 +1,46 @@
+from __future__ import annotations
+
+from abc import ABC, abstractmethod
+
+
+class Backend(ABC):
+    def __init__(
+        self,
+        modulename,
+        sources,
+        extra_objects,
+        build_dir,
+        include_dirs,
+        library_dirs,
+        libraries,
+        define_macros,
+        undef_macros,
+        f2py_flags,
+        sysinfo_flags,
+        fc_flags,
+        flib_flags,
+        setup_flags,
+        remove_build_dir,
+        extra_dat,
+    ):
+        self.modulename = modulename
+        self.sources = sources
+        self.extra_objects = extra_objects
+        self.build_dir = build_dir
+        self.include_dirs = include_dirs
+        self.library_dirs = library_dirs
+        self.libraries = libraries
+        self.define_macros = define_macros
+        self.undef_macros = undef_macros
+        self.f2py_flags = f2py_flags
+        self.sysinfo_flags = sysinfo_flags
+        self.fc_flags = fc_flags
+        self.flib_flags = flib_flags
+        self.setup_flags = setup_flags
+        self.remove_build_dir = remove_build_dir
+        self.extra_dat = extra_dat
+
+    @abstractmethod
+    def compile(self) -> None:
+        """Compile the wrapper."""
+        pass
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_distutils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_distutils.py
new file mode 100644
index 0000000000000000000000000000000000000000..aa7680a07ff9f3cd96226989fc66762f12d4e92e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_distutils.py
@@ -0,0 +1,75 @@
+from ._backend import Backend
+
+from numpy.distutils.core import setup, Extension
+from numpy.distutils.system_info import get_info
+from numpy.distutils.misc_util import dict_append
+from numpy.exceptions import VisibleDeprecationWarning
+import os
+import sys
+import shutil
+import warnings
+
+
+class DistutilsBackend(Backend):
+    def __init__(sef, *args, **kwargs):
+        warnings.warn(
+            "\ndistutils has been deprecated since NumPy 1.26.x\n"
+            "Use the Meson backend instead, or generate wrappers"
+            " without -c and use a custom build script",
+            VisibleDeprecationWarning,
+            stacklevel=2,
+        )
+        super().__init__(*args, **kwargs)
+
+    def compile(self):
+        num_info = {}
+        if num_info:
+            self.include_dirs.extend(num_info.get("include_dirs", []))
+        ext_args = {
+            "name": self.modulename,
+            "sources": self.sources,
+            "include_dirs": self.include_dirs,
+            "library_dirs": self.library_dirs,
+            "libraries": self.libraries,
+            "define_macros": self.define_macros,
+            "undef_macros": self.undef_macros,
+            "extra_objects": self.extra_objects,
+            "f2py_options": self.f2py_flags,
+        }
+
+        if self.sysinfo_flags:
+            for n in self.sysinfo_flags:
+                i = get_info(n)
+                if not i:
+                    print(
+                        f"No {n!r} resources found"
+                        "in system (try `f2py --help-link`)"
+                    )
+                dict_append(ext_args, **i)
+
+        ext = Extension(**ext_args)
+
+        sys.argv = [sys.argv[0]] + self.setup_flags
+        sys.argv.extend(
+            [
+                "build",
+                "--build-temp",
+                self.build_dir,
+                "--build-base",
+                self.build_dir,
+                "--build-platlib",
+                ".",
+                "--disable-optimization",
+            ]
+        )
+
+        if self.fc_flags:
+            sys.argv.extend(["config_fc"] + self.fc_flags)
+        if self.flib_flags:
+            sys.argv.extend(["build_ext"] + self.flib_flags)
+
+        setup(ext_modules=[ext])
+
+        if self.remove_build_dir and os.path.exists(self.build_dir):
+            print(f"Removing build directory {self.build_dir}")
+            shutil.rmtree(self.build_dir)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_meson.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_meson.py
new file mode 100644
index 0000000000000000000000000000000000000000..9195e51f02fd8769775f5fb07caa67bb82583758
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/_meson.py
@@ -0,0 +1,233 @@
+from __future__ import annotations
+
+import os
+import errno
+import shutil
+import subprocess
+import sys
+import re
+from pathlib import Path
+
+from ._backend import Backend
+from string import Template
+from itertools import chain
+
+
+
+class MesonTemplate:
+    """Template meson build file generation class."""
+
+    def __init__(
+        self,
+        modulename: str,
+        sources: list[Path],
+        deps: list[str],
+        libraries: list[str],
+        library_dirs: list[Path],
+        include_dirs: list[Path],
+        object_files: list[Path],
+        linker_args: list[str],
+        fortran_args: list[str],
+        build_type: str,
+        python_exe: str,
+    ):
+        self.modulename = modulename
+        self.build_template_path = (
+            Path(__file__).parent.absolute() / "meson.build.template"
+        )
+        self.sources = sources
+        self.deps = deps
+        self.libraries = libraries
+        self.library_dirs = library_dirs
+        if include_dirs is not None:
+            self.include_dirs = include_dirs
+        else:
+            self.include_dirs = []
+        self.substitutions = {}
+        self.objects = object_files
+        # Convert args to '' wrapped variant for meson
+        self.fortran_args = [
+            f"'{x}'" if not (x.startswith("'") and x.endswith("'")) else x
+            for x in fortran_args
+        ]
+        self.pipeline = [
+            self.initialize_template,
+            self.sources_substitution,
+            self.deps_substitution,
+            self.include_substitution,
+            self.libraries_substitution,
+            self.fortran_args_substitution,
+        ]
+        self.build_type = build_type
+        self.python_exe = python_exe
+        self.indent = " " * 21
+
+    def meson_build_template(self) -> str:
+        if not self.build_template_path.is_file():
+            raise FileNotFoundError(
+                errno.ENOENT,
+                "Meson build template"
+                f" {self.build_template_path.absolute()}"
+                " does not exist.",
+            )
+        return self.build_template_path.read_text()
+
+    def initialize_template(self) -> None:
+        self.substitutions["modulename"] = self.modulename
+        self.substitutions["buildtype"] = self.build_type
+        self.substitutions["python"] = self.python_exe
+
+    def sources_substitution(self) -> None:
+        self.substitutions["source_list"] = ",\n".join(
+            [f"{self.indent}'''{source}'''," for source in self.sources]
+        )
+
+    def deps_substitution(self) -> None:
+        self.substitutions["dep_list"] = f",\n{self.indent}".join(
+            [f"{self.indent}dependency('{dep}')," for dep in self.deps]
+        )
+
+    def libraries_substitution(self) -> None:
+        self.substitutions["lib_dir_declarations"] = "\n".join(
+            [
+                f"lib_dir_{i} = declare_dependency(link_args : ['''-L{lib_dir}'''])"
+                for i, lib_dir in enumerate(self.library_dirs)
+            ]
+        )
+
+        self.substitutions["lib_declarations"] = "\n".join(
+            [
+                f"{lib.replace('.','_')} = declare_dependency(link_args : ['-l{lib}'])"
+                for lib in self.libraries
+            ]
+        )
+
+        self.substitutions["lib_list"] = f"\n{self.indent}".join(
+            [f"{self.indent}{lib.replace('.','_')}," for lib in self.libraries]
+        )
+        self.substitutions["lib_dir_list"] = f"\n{self.indent}".join(
+            [f"{self.indent}lib_dir_{i}," for i in range(len(self.library_dirs))]
+        )
+
+    def include_substitution(self) -> None:
+        self.substitutions["inc_list"] = f",\n{self.indent}".join(
+            [f"{self.indent}'''{inc}'''," for inc in self.include_dirs]
+        )
+
+    def fortran_args_substitution(self) -> None:
+        if self.fortran_args:
+            self.substitutions["fortran_args"] = (
+                f"{self.indent}fortran_args: [{', '.join(list(self.fortran_args))}],"
+            )
+        else:
+            self.substitutions["fortran_args"] = ""
+
+    def generate_meson_build(self):
+        for node in self.pipeline:
+            node()
+        template = Template(self.meson_build_template())
+        meson_build = template.substitute(self.substitutions)
+        meson_build = re.sub(r",,", ",", meson_build)
+        return meson_build
+
+
+class MesonBackend(Backend):
+    def __init__(self, *args, **kwargs):
+        super().__init__(*args, **kwargs)
+        self.dependencies = self.extra_dat.get("dependencies", [])
+        self.meson_build_dir = "bbdir"
+        self.build_type = (
+            "debug" if any("debug" in flag for flag in self.fc_flags) else "release"
+        )
+        self.fc_flags = _get_flags(self.fc_flags)
+
+    def _move_exec_to_root(self, build_dir: Path):
+        walk_dir = Path(build_dir) / self.meson_build_dir
+        path_objects = chain(
+            walk_dir.glob(f"{self.modulename}*.so"),
+            walk_dir.glob(f"{self.modulename}*.pyd"),
+        )
+        # Same behavior as distutils
+        # https://github.com/numpy/numpy/issues/24874#issuecomment-1835632293
+        for path_object in path_objects:
+            dest_path = Path.cwd() / path_object.name
+            if dest_path.exists():
+                dest_path.unlink()
+            shutil.copy2(path_object, dest_path)
+            os.remove(path_object)
+
+    def write_meson_build(self, build_dir: Path) -> None:
+        """Writes the meson build file at specified location"""
+        meson_template = MesonTemplate(
+            self.modulename,
+            self.sources,
+            self.dependencies,
+            self.libraries,
+            self.library_dirs,
+            self.include_dirs,
+            self.extra_objects,
+            self.flib_flags,
+            self.fc_flags,
+            self.build_type,
+            sys.executable,
+        )
+        src = meson_template.generate_meson_build()
+        Path(build_dir).mkdir(parents=True, exist_ok=True)
+        meson_build_file = Path(build_dir) / "meson.build"
+        meson_build_file.write_text(src)
+        return meson_build_file
+
+    def _run_subprocess_command(self, command, cwd):
+        subprocess.run(command, cwd=cwd, check=True)
+
+    def run_meson(self, build_dir: Path):
+        setup_command = ["meson", "setup", self.meson_build_dir]
+        self._run_subprocess_command(setup_command, build_dir)
+        compile_command = ["meson", "compile", "-C", self.meson_build_dir]
+        self._run_subprocess_command(compile_command, build_dir)
+
+    def compile(self) -> None:
+        self.sources = _prepare_sources(self.modulename, self.sources, self.build_dir)
+        self.write_meson_build(self.build_dir)
+        self.run_meson(self.build_dir)
+        self._move_exec_to_root(self.build_dir)
+
+
+def _prepare_sources(mname, sources, bdir):
+    extended_sources = sources.copy()
+    Path(bdir).mkdir(parents=True, exist_ok=True)
+    # Copy sources
+    for source in sources:
+        if Path(source).exists() and Path(source).is_file():
+            shutil.copy(source, bdir)
+    generated_sources = [
+        Path(f"{mname}module.c"),
+        Path(f"{mname}-f2pywrappers2.f90"),
+        Path(f"{mname}-f2pywrappers.f"),
+    ]
+    bdir = Path(bdir)
+    for generated_source in generated_sources:
+        if generated_source.exists():
+            shutil.copy(generated_source, bdir / generated_source.name)
+            extended_sources.append(generated_source.name)
+            generated_source.unlink()
+    extended_sources = [
+        Path(source).name
+        for source in extended_sources
+        if not Path(source).suffix == ".pyf"
+    ]
+    return extended_sources
+
+
+def _get_flags(fc_flags):
+    flag_values = []
+    flag_pattern = re.compile(r"--f(77|90)flags=(.*)")
+    for flag in fc_flags:
+        match_result = flag_pattern.match(flag)
+        if match_result:
+            values = match_result.group(2).strip().split()
+            values = [val.strip("'\"") for val in values]
+            flag_values.extend(values)
+    # Hacky way to preserve order of flags
+    unique_flags = list(dict.fromkeys(flag_values))
+    return unique_flags
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/meson.build.template b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/meson.build.template
new file mode 100644
index 0000000000000000000000000000000000000000..fdcc1b17ce2118543266526c129d3a0a718eae63
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_backends/meson.build.template
@@ -0,0 +1,55 @@
+project('${modulename}',
+        ['c', 'fortran'],
+        version : '0.1',
+        meson_version: '>= 1.1.0',
+        default_options : [
+                            'warning_level=1',
+                            'buildtype=${buildtype}'
+                          ])
+fc = meson.get_compiler('fortran')
+
+py = import('python').find_installation('''${python}''', pure: false)
+py_dep = py.dependency()
+
+incdir_numpy = run_command(py,
+  ['-c', 'import os; os.chdir(".."); import numpy; print(numpy.get_include())'],
+  check : true
+).stdout().strip()
+
+incdir_f2py = run_command(py,
+    ['-c', 'import os; os.chdir(".."); import numpy.f2py; print(numpy.f2py.get_include())'],
+    check : true
+).stdout().strip()
+
+inc_np = include_directories(incdir_numpy)
+np_dep = declare_dependency(include_directories: inc_np)
+
+incdir_f2py = incdir_numpy / '..' / '..' / 'f2py' / 'src'
+inc_f2py = include_directories(incdir_f2py)
+fortranobject_c = incdir_f2py / 'fortranobject.c'
+
+inc_np = include_directories(incdir_numpy, incdir_f2py)
+# gh-25000
+quadmath_dep = fc.find_library('quadmath', required: false)
+
+${lib_declarations}
+${lib_dir_declarations}
+
+py.extension_module('${modulename}',
+                     [
+${source_list},
+                     fortranobject_c
+                     ],
+                     include_directories: [
+                     inc_np,
+${inc_list}
+                     ],
+                     dependencies : [
+                     py_dep,
+                     quadmath_dep,
+${dep_list}
+${lib_list}
+${lib_dir_list}
+                     ],
+${fortran_args}
+                     install : true)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_isocbind.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_isocbind.py
new file mode 100644
index 0000000000000000000000000000000000000000..3043c5d9163f7101d165ca08e33adf0970547612
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_isocbind.py
@@ -0,0 +1,62 @@
+"""
+ISO_C_BINDING maps for f2py2e.
+Only required declarations/macros/functions will be used.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+# These map to keys in c2py_map, via forced casting for now, see gh-25229
+iso_c_binding_map = {
+    'integer': {
+        'c_int': 'int',
+        'c_short': 'short',  # 'short' <=> 'int' for now
+        'c_long': 'long',  # 'long' <=> 'int' for now
+        'c_long_long': 'long_long',
+        'c_signed_char': 'signed_char',
+        'c_size_t': 'unsigned',  # size_t <=> 'unsigned' for now
+        'c_int8_t': 'signed_char',  # int8_t <=> 'signed_char' for now
+        'c_int16_t': 'short',  # int16_t <=> 'short' for now
+        'c_int32_t': 'int',  # int32_t <=> 'int' for now
+        'c_int64_t': 'long_long',
+        'c_int_least8_t': 'signed_char',  # int_least8_t <=> 'signed_char' for now
+        'c_int_least16_t': 'short',  # int_least16_t <=> 'short' for now
+        'c_int_least32_t': 'int',  # int_least32_t <=> 'int' for now
+        'c_int_least64_t': 'long_long',
+        'c_int_fast8_t': 'signed_char',  # int_fast8_t <=> 'signed_char' for now
+        'c_int_fast16_t': 'short',  # int_fast16_t <=> 'short' for now
+        'c_int_fast32_t': 'int',  # int_fast32_t <=> 'int' for now
+        'c_int_fast64_t': 'long_long',
+        'c_intmax_t': 'long_long',  # intmax_t <=> 'long_long' for now
+        'c_intptr_t': 'long',  # intptr_t <=> 'long' for now
+        'c_ptrdiff_t': 'long',  # ptrdiff_t <=> 'long' for now
+    },
+    'real': {
+        'c_float': 'float',
+        'c_double': 'double',
+        'c_long_double': 'long_double'
+    },
+    'complex': {
+        'c_float_complex': 'complex_float',
+        'c_double_complex': 'complex_double',
+        'c_long_double_complex': 'complex_long_double'
+    },
+    'logical': {
+        'c_bool': 'unsigned_char'  # _Bool <=> 'unsigned_char' for now
+    },
+    'character': {
+        'c_char': 'char'
+    }
+}
+
+# TODO: See gh-25229
+isoc_c2pycode_map = {}
+iso_c2py_map = {}
+
+isoc_kindmap = {}
+for fortran_type, c_type_dict in iso_c_binding_map.items():
+    for c_type in c_type_dict.keys():
+        isoc_kindmap[c_type] = fortran_type
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_src_pyf.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_src_pyf.py
new file mode 100644
index 0000000000000000000000000000000000000000..ce59a35fed3d5fd1b704e7d826a63bbc5ee76a0e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/_src_pyf.py
@@ -0,0 +1,240 @@
+import os
+import re
+
+# START OF CODE VENDORED FROM `numpy.distutils.from_template`
+#############################################################
+"""
+process_file(filename)
+
+  takes templated file .xxx.src and produces .xxx file where .xxx
+  is .pyf .f90 or .f using the following template rules:
+
+  '<..>' denotes a template.
+
+  All function and subroutine blocks in a source file with names that
+  contain '<..>' will be replicated according to the rules in '<..>'.
+
+  The number of comma-separated words in '<..>' will determine the number of
+  replicates.
+
+  '<..>' may have two different forms, named and short. For example,
+
+  named:
+    where anywhere inside a block '
' will be replaced with
+   'd', 's', 'z', and 'c' for each replicate of the block.
+
+   <_c>  is already defined: <_c=s,d,c,z>
+   <_t>  is already defined: <_t=real,double precision,complex,double complex>
+
+  short:
+   , a short form of the named, useful when no 
 appears inside
+   a block.
+
+  In general, '<..>' contains a comma separated list of arbitrary
+  expressions. If these expression must contain a comma|leftarrow|rightarrow,
+  then prepend the comma|leftarrow|rightarrow with a backslash.
+
+  If an expression matches '\\' then it will be replaced
+  by -th expression.
+
+  Note that all '<..>' forms in a block must have the same number of
+  comma-separated entries.
+
+ Predefined named template rules:
+  
+  
+  
+  
+  
+"""
+
+routine_start_re = re.compile(r'(\n|\A)((     (\$|\*))|)\s*(subroutine|function)\b', re.I)
+routine_end_re = re.compile(r'\n\s*end\s*(subroutine|function)\b.*(\n|\Z)', re.I)
+function_start_re = re.compile(r'\n     (\$|\*)\s*function\b', re.I)
+
+def parse_structure(astr):
+    """ Return a list of tuples for each function or subroutine each
+    tuple is the start and end of a subroutine or function to be
+    expanded.
+    """
+
+    spanlist = []
+    ind = 0
+    while True:
+        m = routine_start_re.search(astr, ind)
+        if m is None:
+            break
+        start = m.start()
+        if function_start_re.match(astr, start, m.end()):
+            while True:
+                i = astr.rfind('\n', ind, start)
+                if i==-1:
+                    break
+                start = i
+                if astr[i:i+7]!='\n     $':
+                    break
+        start += 1
+        m = routine_end_re.search(astr, m.end())
+        ind = end = m and m.end()-1 or len(astr)
+        spanlist.append((start, end))
+    return spanlist
+
+template_re = re.compile(r"<\s*(\w[\w\d]*)\s*>")
+named_re = re.compile(r"<\s*(\w[\w\d]*)\s*=\s*(.*?)\s*>")
+list_re = re.compile(r"<\s*((.*?))\s*>")
+
+def find_repl_patterns(astr):
+    reps = named_re.findall(astr)
+    names = {}
+    for rep in reps:
+        name = rep[0].strip() or unique_key(names)
+        repl = rep[1].replace(r'\,', '@comma@')
+        thelist = conv(repl)
+        names[name] = thelist
+    return names
+
+def find_and_remove_repl_patterns(astr):
+    names = find_repl_patterns(astr)
+    astr = re.subn(named_re, '', astr)[0]
+    return astr, names
+
+item_re = re.compile(r"\A\\(?P\d+)\Z")
+def conv(astr):
+    b = astr.split(',')
+    l = [x.strip() for x in b]
+    for i in range(len(l)):
+        m = item_re.match(l[i])
+        if m:
+            j = int(m.group('index'))
+            l[i] = l[j]
+    return ','.join(l)
+
+def unique_key(adict):
+    """ Obtain a unique key given a dictionary."""
+    allkeys = list(adict.keys())
+    done = False
+    n = 1
+    while not done:
+        newkey = '__l%s' % (n)
+        if newkey in allkeys:
+            n += 1
+        else:
+            done = True
+    return newkey
+
+
+template_name_re = re.compile(r'\A\s*(\w[\w\d]*)\s*\Z')
+def expand_sub(substr, names):
+    substr = substr.replace(r'\>', '@rightarrow@')
+    substr = substr.replace(r'\<', '@leftarrow@')
+    lnames = find_repl_patterns(substr)
+    substr = named_re.sub(r"<\1>", substr)  # get rid of definition templates
+
+    def listrepl(mobj):
+        thelist = conv(mobj.group(1).replace(r'\,', '@comma@'))
+        if template_name_re.match(thelist):
+            return "<%s>" % (thelist)
+        name = None
+        for key in lnames.keys():    # see if list is already in dictionary
+            if lnames[key] == thelist:
+                name = key
+        if name is None:      # this list is not in the dictionary yet
+            name = unique_key(lnames)
+            lnames[name] = thelist
+        return "<%s>" % name
+
+    substr = list_re.sub(listrepl, substr) # convert all lists to named templates
+                                           # newnames are constructed as needed
+
+    numsubs = None
+    base_rule = None
+    rules = {}
+    for r in template_re.findall(substr):
+        if r not in rules:
+            thelist = lnames.get(r, names.get(r, None))
+            if thelist is None:
+                raise ValueError('No replicates found for <%s>' % (r))
+            if r not in names and not thelist.startswith('_'):
+                names[r] = thelist
+            rule = [i.replace('@comma@', ',') for i in thelist.split(',')]
+            num = len(rule)
+
+            if numsubs is None:
+                numsubs = num
+                rules[r] = rule
+                base_rule = r
+            elif num == numsubs:
+                rules[r] = rule
+            else:
+                print("Mismatch in number of replacements (base <{}={}>) "
+                      "for <{}={}>. Ignoring.".format(base_rule, ','.join(rules[base_rule]), r, thelist))
+    if not rules:
+        return substr
+
+    def namerepl(mobj):
+        name = mobj.group(1)
+        return rules.get(name, (k+1)*[name])[k]
+
+    newstr = ''
+    for k in range(numsubs):
+        newstr += template_re.sub(namerepl, substr) + '\n\n'
+
+    newstr = newstr.replace('@rightarrow@', '>')
+    newstr = newstr.replace('@leftarrow@', '<')
+    return newstr
+
+def process_str(allstr):
+    newstr = allstr
+    writestr = ''
+
+    struct = parse_structure(newstr)
+
+    oldend = 0
+    names = {}
+    names.update(_special_names)
+    for sub in struct:
+        cleanedstr, defs = find_and_remove_repl_patterns(newstr[oldend:sub[0]])
+        writestr += cleanedstr
+        names.update(defs)
+        writestr += expand_sub(newstr[sub[0]:sub[1]], names)
+        oldend =  sub[1]
+    writestr += newstr[oldend:]
+
+    return writestr
+
+include_src_re = re.compile(r"(\n|\A)\s*include\s*['\"](?P[\w\d./\\]+\.src)['\"]", re.I)
+
+def resolve_includes(source):
+    d = os.path.dirname(source)
+    with open(source) as fid:
+        lines = []
+        for line in fid:
+            m = include_src_re.match(line)
+            if m:
+                fn = m.group('name')
+                if not os.path.isabs(fn):
+                    fn = os.path.join(d, fn)
+                if os.path.isfile(fn):
+                    lines.extend(resolve_includes(fn))
+                else:
+                    lines.append(line)
+            else:
+                lines.append(line)
+    return lines
+
+def process_file(source):
+    lines = resolve_includes(source)
+    return process_str(''.join(lines))
+
+_special_names = find_repl_patterns('''
+<_c=s,d,c,z>
+<_t=real,double precision,complex,double complex>
+
+
+
+
+
+''')
+
+# END OF CODE VENDORED FROM `numpy.distutils.from_template`
+###########################################################
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/auxfuncs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/auxfuncs.py
new file mode 100644
index 0000000000000000000000000000000000000000..e926a52d1b51fdfd62a7d3cbe8311c63d7f9e22f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/auxfuncs.py
@@ -0,0 +1,1000 @@
+"""
+Auxiliary functions for f2py2e.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy (BSD style) LICENSE.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+import pprint
+import sys
+import re
+import types
+from functools import reduce
+
+from . import __version__
+from . import cfuncs
+from .cfuncs import errmess
+
+__all__ = [
+    'applyrules', 'debugcapi', 'dictappend', 'errmess', 'gentitle',
+    'getargs2', 'getcallprotoargument', 'getcallstatement',
+    'getfortranname', 'getpymethoddef', 'getrestdoc', 'getusercode',
+    'getusercode1', 'getdimension', 'hasbody', 'hascallstatement', 'hascommon',
+    'hasexternals', 'hasinitvalue', 'hasnote', 'hasresultnote',
+    'isallocatable', 'isarray', 'isarrayofstrings',
+    'ischaracter', 'ischaracterarray', 'ischaracter_or_characterarray',
+    'iscomplex', 'iscstyledirective',
+    'iscomplexarray', 'iscomplexfunction', 'iscomplexfunction_warn',
+    'isdouble', 'isdummyroutine', 'isexternal', 'isfunction',
+    'isfunction_wrap', 'isint1', 'isint1array', 'isinteger', 'isintent_aux',
+    'isintent_c', 'isintent_callback', 'isintent_copy', 'isintent_dict',
+    'isintent_hide', 'isintent_in', 'isintent_inout', 'isintent_inplace',
+    'isintent_nothide', 'isintent_out', 'isintent_overwrite', 'islogical',
+    'islogicalfunction', 'islong_complex', 'islong_double',
+    'islong_doublefunction', 'islong_long', 'islong_longfunction',
+    'ismodule', 'ismoduleroutine', 'isoptional', 'isprivate', 'isvariable',
+    'isrequired', 'isroutine', 'isscalar', 'issigned_long_longarray',
+    'isstring', 'isstringarray', 'isstring_or_stringarray', 'isstringfunction',
+    'issubroutine', 'get_f2py_modulename', 'issubroutine_wrap', 'isthreadsafe',
+    'isunsigned', 'isunsigned_char', 'isunsigned_chararray',
+    'isunsigned_long_long', 'isunsigned_long_longarray', 'isunsigned_short',
+    'isunsigned_shortarray', 'l_and', 'l_not', 'l_or', 'outmess', 'replace',
+    'show', 'stripcomma', 'throw_error', 'isattr_value', 'getuseblocks',
+    'process_f2cmap_dict', 'containscommon'
+]
+
+
+f2py_version = __version__.version
+
+
+show = pprint.pprint
+
+options = {}
+debugoptions = []
+wrapfuncs = 1
+
+
+def outmess(t):
+    if options.get('verbose', 1):
+        sys.stdout.write(t)
+
+
+def debugcapi(var):
+    return 'capi' in debugoptions
+
+
+def _ischaracter(var):
+    return 'typespec' in var and var['typespec'] == 'character' and \
+           not isexternal(var)
+
+
+def _isstring(var):
+    return 'typespec' in var and var['typespec'] == 'character' and \
+           not isexternal(var)
+
+
+def ischaracter_or_characterarray(var):
+    return _ischaracter(var) and 'charselector' not in var
+
+
+def ischaracter(var):
+    return ischaracter_or_characterarray(var) and not isarray(var)
+
+
+def ischaracterarray(var):
+    return ischaracter_or_characterarray(var) and isarray(var)
+
+
+def isstring_or_stringarray(var):
+    return _ischaracter(var) and 'charselector' in var
+
+
+def isstring(var):
+    return isstring_or_stringarray(var) and not isarray(var)
+
+
+def isstringarray(var):
+    return isstring_or_stringarray(var) and isarray(var)
+
+
+def isarrayofstrings(var):  # obsolete?
+    # leaving out '*' for now so that `character*(*) a(m)` and `character
+    # a(m,*)` are treated differently. Luckily `character**` is illegal.
+    return isstringarray(var) and var['dimension'][-1] == '(*)'
+
+
+def isarray(var):
+    return 'dimension' in var and not isexternal(var)
+
+
+def isscalar(var):
+    return not (isarray(var) or isstring(var) or isexternal(var))
+
+
+def iscomplex(var):
+    return isscalar(var) and \
+           var.get('typespec') in ['complex', 'double complex']
+
+
+def islogical(var):
+    return isscalar(var) and var.get('typespec') == 'logical'
+
+
+def isinteger(var):
+    return isscalar(var) and var.get('typespec') == 'integer'
+
+
+def isreal(var):
+    return isscalar(var) and var.get('typespec') == 'real'
+
+
+def get_kind(var):
+    try:
+        return var['kindselector']['*']
+    except KeyError:
+        try:
+            return var['kindselector']['kind']
+        except KeyError:
+            pass
+
+
+def isint1(var):
+    return var.get('typespec') == 'integer' \
+        and get_kind(var) == '1' and not isarray(var)
+
+
+def islong_long(var):
+    if not isscalar(var):
+        return 0
+    if var.get('typespec') not in ['integer', 'logical']:
+        return 0
+    return get_kind(var) == '8'
+
+
+def isunsigned_char(var):
+    if not isscalar(var):
+        return 0
+    if var.get('typespec') != 'integer':
+        return 0
+    return get_kind(var) == '-1'
+
+
+def isunsigned_short(var):
+    if not isscalar(var):
+        return 0
+    if var.get('typespec') != 'integer':
+        return 0
+    return get_kind(var) == '-2'
+
+
+def isunsigned(var):
+    if not isscalar(var):
+        return 0
+    if var.get('typespec') != 'integer':
+        return 0
+    return get_kind(var) == '-4'
+
+
+def isunsigned_long_long(var):
+    if not isscalar(var):
+        return 0
+    if var.get('typespec') != 'integer':
+        return 0
+    return get_kind(var) == '-8'
+
+
+def isdouble(var):
+    if not isscalar(var):
+        return 0
+    if not var.get('typespec') == 'real':
+        return 0
+    return get_kind(var) == '8'
+
+
+def islong_double(var):
+    if not isscalar(var):
+        return 0
+    if not var.get('typespec') == 'real':
+        return 0
+    return get_kind(var) == '16'
+
+
+def islong_complex(var):
+    if not iscomplex(var):
+        return 0
+    return get_kind(var) == '32'
+
+
+def iscomplexarray(var):
+    return isarray(var) and \
+           var.get('typespec') in ['complex', 'double complex']
+
+
+def isint1array(var):
+    return isarray(var) and var.get('typespec') == 'integer' \
+        and get_kind(var) == '1'
+
+
+def isunsigned_chararray(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '-1'
+
+
+def isunsigned_shortarray(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '-2'
+
+
+def isunsignedarray(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '-4'
+
+
+def isunsigned_long_longarray(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '-8'
+
+
+def issigned_chararray(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '1'
+
+
+def issigned_shortarray(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '2'
+
+
+def issigned_array(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '4'
+
+
+def issigned_long_longarray(var):
+    return isarray(var) and var.get('typespec') in ['integer', 'logical']\
+        and get_kind(var) == '8'
+
+
+def isallocatable(var):
+    return 'attrspec' in var and 'allocatable' in var['attrspec']
+
+
+def ismutable(var):
+    return not ('dimension' not in var or isstring(var))
+
+
+def ismoduleroutine(rout):
+    return 'modulename' in rout
+
+
+def ismodule(rout):
+    return 'block' in rout and 'module' == rout['block']
+
+
+def isfunction(rout):
+    return 'block' in rout and 'function' == rout['block']
+
+
+def isfunction_wrap(rout):
+    if isintent_c(rout):
+        return 0
+    return wrapfuncs and isfunction(rout) and (not isexternal(rout))
+
+
+def issubroutine(rout):
+    return 'block' in rout and 'subroutine' == rout['block']
+
+
+def issubroutine_wrap(rout):
+    if isintent_c(rout):
+        return 0
+    return issubroutine(rout) and hasassumedshape(rout)
+
+def isattr_value(var):
+    return 'value' in var.get('attrspec', [])
+
+
+def hasassumedshape(rout):
+    if rout.get('hasassumedshape'):
+        return True
+    for a in rout['args']:
+        for d in rout['vars'].get(a, {}).get('dimension', []):
+            if d == ':':
+                rout['hasassumedshape'] = True
+                return True
+    return False
+
+
+def requiresf90wrapper(rout):
+    return ismoduleroutine(rout) or hasassumedshape(rout)
+
+
+def isroutine(rout):
+    return isfunction(rout) or issubroutine(rout)
+
+
+def islogicalfunction(rout):
+    if not isfunction(rout):
+        return 0
+    if 'result' in rout:
+        a = rout['result']
+    else:
+        a = rout['name']
+    if a in rout['vars']:
+        return islogical(rout['vars'][a])
+    return 0
+
+
+def islong_longfunction(rout):
+    if not isfunction(rout):
+        return 0
+    if 'result' in rout:
+        a = rout['result']
+    else:
+        a = rout['name']
+    if a in rout['vars']:
+        return islong_long(rout['vars'][a])
+    return 0
+
+
+def islong_doublefunction(rout):
+    if not isfunction(rout):
+        return 0
+    if 'result' in rout:
+        a = rout['result']
+    else:
+        a = rout['name']
+    if a in rout['vars']:
+        return islong_double(rout['vars'][a])
+    return 0
+
+
+def iscomplexfunction(rout):
+    if not isfunction(rout):
+        return 0
+    if 'result' in rout:
+        a = rout['result']
+    else:
+        a = rout['name']
+    if a in rout['vars']:
+        return iscomplex(rout['vars'][a])
+    return 0
+
+
+def iscomplexfunction_warn(rout):
+    if iscomplexfunction(rout):
+        outmess("""\
+    **************************************************************
+        Warning: code with a function returning complex value
+        may not work correctly with your Fortran compiler.
+        When using GNU gcc/g77 compilers, codes should work
+        correctly for callbacks with:
+        f2py -c -DF2PY_CB_RETURNCOMPLEX
+    **************************************************************\n""")
+        return 1
+    return 0
+
+
+def isstringfunction(rout):
+    if not isfunction(rout):
+        return 0
+    if 'result' in rout:
+        a = rout['result']
+    else:
+        a = rout['name']
+    if a in rout['vars']:
+        return isstring(rout['vars'][a])
+    return 0
+
+
+def hasexternals(rout):
+    return 'externals' in rout and rout['externals']
+
+
+def isthreadsafe(rout):
+    return 'f2pyenhancements' in rout and \
+           'threadsafe' in rout['f2pyenhancements']
+
+
+def hasvariables(rout):
+    return 'vars' in rout and rout['vars']
+
+
+def isoptional(var):
+    return ('attrspec' in var and 'optional' in var['attrspec'] and
+            'required' not in var['attrspec']) and isintent_nothide(var)
+
+
+def isexternal(var):
+    return 'attrspec' in var and 'external' in var['attrspec']
+
+
+def getdimension(var):
+    dimpattern = r"\((.*?)\)"
+    if 'attrspec' in var.keys():
+        if any('dimension' in s for s in var['attrspec']):
+            return [re.findall(dimpattern, v) for v in var['attrspec']][0]
+
+
+def isrequired(var):
+    return not isoptional(var) and isintent_nothide(var)
+
+
+def iscstyledirective(f2py_line):
+    directives = {"callstatement", "callprotoargument", "pymethoddef"}
+    return any(directive in f2py_line.lower() for directive in directives)
+
+
+def isintent_in(var):
+    if 'intent' not in var:
+        return 1
+    if 'hide' in var['intent']:
+        return 0
+    if 'inplace' in var['intent']:
+        return 0
+    if 'in' in var['intent']:
+        return 1
+    if 'out' in var['intent']:
+        return 0
+    if 'inout' in var['intent']:
+        return 0
+    if 'outin' in var['intent']:
+        return 0
+    return 1
+
+
+def isintent_inout(var):
+    return ('intent' in var and ('inout' in var['intent'] or
+            'outin' in var['intent']) and 'in' not in var['intent'] and
+            'hide' not in var['intent'] and 'inplace' not in var['intent'])
+
+
+def isintent_out(var):
+    return 'out' in var.get('intent', [])
+
+
+def isintent_hide(var):
+    return ('intent' in var and ('hide' in var['intent'] or
+            ('out' in var['intent'] and 'in' not in var['intent'] and
+                (not l_or(isintent_inout, isintent_inplace)(var)))))
+
+
+def isintent_nothide(var):
+    return not isintent_hide(var)
+
+
+def isintent_c(var):
+    return 'c' in var.get('intent', [])
+
+
+def isintent_cache(var):
+    return 'cache' in var.get('intent', [])
+
+
+def isintent_copy(var):
+    return 'copy' in var.get('intent', [])
+
+
+def isintent_overwrite(var):
+    return 'overwrite' in var.get('intent', [])
+
+
+def isintent_callback(var):
+    return 'callback' in var.get('intent', [])
+
+
+def isintent_inplace(var):
+    return 'inplace' in var.get('intent', [])
+
+
+def isintent_aux(var):
+    return 'aux' in var.get('intent', [])
+
+
+def isintent_aligned4(var):
+    return 'aligned4' in var.get('intent', [])
+
+
+def isintent_aligned8(var):
+    return 'aligned8' in var.get('intent', [])
+
+
+def isintent_aligned16(var):
+    return 'aligned16' in var.get('intent', [])
+
+
+isintent_dict = {isintent_in: 'INTENT_IN', isintent_inout: 'INTENT_INOUT',
+                 isintent_out: 'INTENT_OUT', isintent_hide: 'INTENT_HIDE',
+                 isintent_cache: 'INTENT_CACHE',
+                 isintent_c: 'INTENT_C', isoptional: 'OPTIONAL',
+                 isintent_inplace: 'INTENT_INPLACE',
+                 isintent_aligned4: 'INTENT_ALIGNED4',
+                 isintent_aligned8: 'INTENT_ALIGNED8',
+                 isintent_aligned16: 'INTENT_ALIGNED16',
+                 }
+
+
+def isprivate(var):
+    return 'attrspec' in var and 'private' in var['attrspec']
+
+
+def isvariable(var):
+    # heuristic to find public/private declarations of filtered subroutines
+    if len(var) == 1 and 'attrspec' in var and \
+            var['attrspec'][0] in ('public', 'private'):
+        is_var = False
+    else:
+        is_var = True
+    return is_var
+
+def hasinitvalue(var):
+    return '=' in var
+
+
+def hasinitvalueasstring(var):
+    if not hasinitvalue(var):
+        return 0
+    return var['='][0] in ['"', "'"]
+
+
+def hasnote(var):
+    return 'note' in var
+
+
+def hasresultnote(rout):
+    if not isfunction(rout):
+        return 0
+    if 'result' in rout:
+        a = rout['result']
+    else:
+        a = rout['name']
+    if a in rout['vars']:
+        return hasnote(rout['vars'][a])
+    return 0
+
+
+def hascommon(rout):
+    return 'common' in rout
+
+
+def containscommon(rout):
+    if hascommon(rout):
+        return 1
+    if hasbody(rout):
+        for b in rout['body']:
+            if containscommon(b):
+                return 1
+    return 0
+
+
+def containsmodule(block):
+    if ismodule(block):
+        return 1
+    if not hasbody(block):
+        return 0
+    for b in block['body']:
+        if containsmodule(b):
+            return 1
+    return 0
+
+
+def hasbody(rout):
+    return 'body' in rout
+
+
+def hascallstatement(rout):
+    return getcallstatement(rout) is not None
+
+
+def istrue(var):
+    return 1
+
+
+def isfalse(var):
+    return 0
+
+
+class F2PYError(Exception):
+    pass
+
+
+class throw_error:
+
+    def __init__(self, mess):
+        self.mess = mess
+
+    def __call__(self, var):
+        mess = '\n\n  var = %s\n  Message: %s\n' % (var, self.mess)
+        raise F2PYError(mess)
+
+
+def l_and(*f):
+    l1, l2 = 'lambda v', []
+    for i in range(len(f)):
+        l1 = '%s,f%d=f[%d]' % (l1, i, i)
+        l2.append('f%d(v)' % (i))
+    return eval('%s:%s' % (l1, ' and '.join(l2)))
+
+
+def l_or(*f):
+    l1, l2 = 'lambda v', []
+    for i in range(len(f)):
+        l1 = '%s,f%d=f[%d]' % (l1, i, i)
+        l2.append('f%d(v)' % (i))
+    return eval('%s:%s' % (l1, ' or '.join(l2)))
+
+
+def l_not(f):
+    return eval('lambda v,f=f:not f(v)')
+
+
+def isdummyroutine(rout):
+    try:
+        return rout['f2pyenhancements']['fortranname'] == ''
+    except KeyError:
+        return 0
+
+
+def getfortranname(rout):
+    try:
+        name = rout['f2pyenhancements']['fortranname']
+        if name == '':
+            raise KeyError
+        if not name:
+            errmess('Failed to use fortranname from %s\n' %
+                    (rout['f2pyenhancements']))
+            raise KeyError
+    except KeyError:
+        name = rout['name']
+    return name
+
+
+def getmultilineblock(rout, blockname, comment=1, counter=0):
+    try:
+        r = rout['f2pyenhancements'].get(blockname)
+    except KeyError:
+        return
+    if not r:
+        return
+    if counter > 0 and isinstance(r, str):
+        return
+    if isinstance(r, list):
+        if counter >= len(r):
+            return
+        r = r[counter]
+    if r[:3] == "'''":
+        if comment:
+            r = '\t/* start ' + blockname + \
+                ' multiline (' + repr(counter) + ') */\n' + r[3:]
+        else:
+            r = r[3:]
+        if r[-3:] == "'''":
+            if comment:
+                r = r[:-3] + '\n\t/* end multiline (' + repr(counter) + ')*/'
+            else:
+                r = r[:-3]
+        else:
+            errmess("%s multiline block should end with `'''`: %s\n"
+                    % (blockname, repr(r)))
+    return r
+
+
+def getcallstatement(rout):
+    return getmultilineblock(rout, 'callstatement')
+
+
+def getcallprotoargument(rout, cb_map={}):
+    r = getmultilineblock(rout, 'callprotoargument', comment=0)
+    if r:
+        return r
+    if hascallstatement(rout):
+        outmess(
+            'warning: callstatement is defined without callprotoargument\n')
+        return
+    from .capi_maps import getctype
+    arg_types, arg_types2 = [], []
+    if l_and(isstringfunction, l_not(isfunction_wrap))(rout):
+        arg_types.extend(['char*', 'size_t'])
+    for n in rout['args']:
+        var = rout['vars'][n]
+        if isintent_callback(var):
+            continue
+        if n in cb_map:
+            ctype = cb_map[n] + '_typedef'
+        else:
+            ctype = getctype(var)
+            if l_and(isintent_c, l_or(isscalar, iscomplex))(var):
+                pass
+            elif isstring(var):
+                pass
+            else:
+                if not isattr_value(var):
+                    ctype = ctype + '*'
+            if (isstring(var)
+                 or isarrayofstrings(var)  # obsolete?
+                 or isstringarray(var)):
+                arg_types2.append('size_t')
+        arg_types.append(ctype)
+
+    proto_args = ','.join(arg_types + arg_types2)
+    if not proto_args:
+        proto_args = 'void'
+    return proto_args
+
+
+def getusercode(rout):
+    return getmultilineblock(rout, 'usercode')
+
+
+def getusercode1(rout):
+    return getmultilineblock(rout, 'usercode', counter=1)
+
+
+def getpymethoddef(rout):
+    return getmultilineblock(rout, 'pymethoddef')
+
+
+def getargs(rout):
+    sortargs, args = [], []
+    if 'args' in rout:
+        args = rout['args']
+        if 'sortvars' in rout:
+            for a in rout['sortvars']:
+                if a in args:
+                    sortargs.append(a)
+            for a in args:
+                if a not in sortargs:
+                    sortargs.append(a)
+        else:
+            sortargs = rout['args']
+    return args, sortargs
+
+
+def getargs2(rout):
+    sortargs, args = [], rout.get('args', [])
+    auxvars = [a for a in rout['vars'].keys() if isintent_aux(rout['vars'][a])
+               and a not in args]
+    args = auxvars + args
+    if 'sortvars' in rout:
+        for a in rout['sortvars']:
+            if a in args:
+                sortargs.append(a)
+        for a in args:
+            if a not in sortargs:
+                sortargs.append(a)
+    else:
+        sortargs = auxvars + rout['args']
+    return args, sortargs
+
+
+def getrestdoc(rout):
+    if 'f2pymultilines' not in rout:
+        return None
+    k = None
+    if rout['block'] == 'python module':
+        k = rout['block'], rout['name']
+    return rout['f2pymultilines'].get(k, None)
+
+
+def gentitle(name):
+    ln = (80 - len(name) - 6) // 2
+    return '/*%s %s %s*/' % (ln * '*', name, ln * '*')
+
+
+def flatlist(lst):
+    if isinstance(lst, list):
+        return reduce(lambda x, y, f=flatlist: x + f(y), lst, [])
+    return [lst]
+
+
+def stripcomma(s):
+    if s and s[-1] == ',':
+        return s[:-1]
+    return s
+
+
+def replace(str, d, defaultsep=''):
+    if isinstance(d, list):
+        return [replace(str, _m, defaultsep) for _m in d]
+    if isinstance(str, list):
+        return [replace(_m, d, defaultsep) for _m in str]
+    for k in 2 * list(d.keys()):
+        if k == 'separatorsfor':
+            continue
+        if 'separatorsfor' in d and k in d['separatorsfor']:
+            sep = d['separatorsfor'][k]
+        else:
+            sep = defaultsep
+        if isinstance(d[k], list):
+            str = str.replace('#%s#' % (k), sep.join(flatlist(d[k])))
+        else:
+            str = str.replace('#%s#' % (k), d[k])
+    return str
+
+
+def dictappend(rd, ar):
+    if isinstance(ar, list):
+        for a in ar:
+            rd = dictappend(rd, a)
+        return rd
+    for k in ar.keys():
+        if k[0] == '_':
+            continue
+        if k in rd:
+            if isinstance(rd[k], str):
+                rd[k] = [rd[k]]
+            if isinstance(rd[k], list):
+                if isinstance(ar[k], list):
+                    rd[k] = rd[k] + ar[k]
+                else:
+                    rd[k].append(ar[k])
+            elif isinstance(rd[k], dict):
+                if isinstance(ar[k], dict):
+                    if k == 'separatorsfor':
+                        for k1 in ar[k].keys():
+                            if k1 not in rd[k]:
+                                rd[k][k1] = ar[k][k1]
+                    else:
+                        rd[k] = dictappend(rd[k], ar[k])
+        else:
+            rd[k] = ar[k]
+    return rd
+
+
+def applyrules(rules, d, var={}):
+    ret = {}
+    if isinstance(rules, list):
+        for r in rules:
+            rr = applyrules(r, d, var)
+            ret = dictappend(ret, rr)
+            if '_break' in rr:
+                break
+        return ret
+    if '_check' in rules and (not rules['_check'](var)):
+        return ret
+    if 'need' in rules:
+        res = applyrules({'needs': rules['need']}, d, var)
+        if 'needs' in res:
+            cfuncs.append_needs(res['needs'])
+
+    for k in rules.keys():
+        if k == 'separatorsfor':
+            ret[k] = rules[k]
+            continue
+        if isinstance(rules[k], str):
+            ret[k] = replace(rules[k], d)
+        elif isinstance(rules[k], list):
+            ret[k] = []
+            for i in rules[k]:
+                ar = applyrules({k: i}, d, var)
+                if k in ar:
+                    ret[k].append(ar[k])
+        elif k[0] == '_':
+            continue
+        elif isinstance(rules[k], dict):
+            ret[k] = []
+            for k1 in rules[k].keys():
+                if isinstance(k1, types.FunctionType) and k1(var):
+                    if isinstance(rules[k][k1], list):
+                        for i in rules[k][k1]:
+                            if isinstance(i, dict):
+                                res = applyrules({'supertext': i}, d, var)
+                                if 'supertext' in res:
+                                    i = res['supertext']
+                                else:
+                                    i = ''
+                            ret[k].append(replace(i, d))
+                    else:
+                        i = rules[k][k1]
+                        if isinstance(i, dict):
+                            res = applyrules({'supertext': i}, d)
+                            if 'supertext' in res:
+                                i = res['supertext']
+                            else:
+                                i = ''
+                        ret[k].append(replace(i, d))
+        else:
+            errmess('applyrules: ignoring rule %s.\n' % repr(rules[k]))
+        if isinstance(ret[k], list):
+            if len(ret[k]) == 1:
+                ret[k] = ret[k][0]
+            if ret[k] == []:
+                del ret[k]
+    return ret
+
+_f2py_module_name_match = re.compile(r'\s*python\s*module\s*(?P[\w_]+)',
+                                     re.I).match
+_f2py_user_module_name_match = re.compile(r'\s*python\s*module\s*(?P[\w_]*?'
+                                          r'__user__[\w_]*)', re.I).match
+
+def get_f2py_modulename(source):
+    name = None
+    with open(source) as f:
+        for line in f:
+            m = _f2py_module_name_match(line)
+            if m:
+                if _f2py_user_module_name_match(line): # skip *__user__* names
+                    continue
+                name = m.group('name')
+                break
+    return name
+
+def getuseblocks(pymod):
+    all_uses = []
+    for inner in pymod['body']:
+        for modblock in inner['body']:
+            if modblock.get('use'):
+                all_uses.extend([x for x in modblock.get("use").keys() if "__" not in x])
+    return all_uses
+
+def process_f2cmap_dict(f2cmap_all, new_map, c2py_map, verbose = False):
+    """
+    Update the Fortran-to-C type mapping dictionary with new mappings and
+    return a list of successfully mapped C types.
+
+    This function integrates a new mapping dictionary into an existing
+    Fortran-to-C type mapping dictionary. It ensures that all keys are in
+    lowercase and validates new entries against a given C-to-Python mapping
+    dictionary. Redefinitions and invalid entries are reported with a warning.
+
+    Parameters
+    ----------
+    f2cmap_all : dict
+        The existing Fortran-to-C type mapping dictionary that will be updated.
+        It should be a dictionary of dictionaries where the main keys represent
+        Fortran types and the nested dictionaries map Fortran type specifiers
+        to corresponding C types.
+
+    new_map : dict
+        A dictionary containing new type mappings to be added to `f2cmap_all`.
+        The structure should be similar to `f2cmap_all`, with keys representing
+        Fortran types and values being dictionaries of type specifiers and their
+        C type equivalents.
+
+    c2py_map : dict
+        A dictionary used for validating the C types in `new_map`. It maps C
+        types to corresponding Python types and is used to ensure that the C
+        types specified in `new_map` are valid.
+
+    verbose : boolean
+        A flag used to provide information about the types mapped
+
+    Returns
+    -------
+    tuple of (dict, list)
+        The updated Fortran-to-C type mapping dictionary and a list of
+        successfully mapped C types.
+    """
+    f2cmap_mapped = []
+
+    new_map_lower = {}
+    for k, d1 in new_map.items():
+        d1_lower = {k1.lower(): v1 for k1, v1 in d1.items()}
+        new_map_lower[k.lower()] = d1_lower
+
+    for k, d1 in new_map_lower.items():
+        if k not in f2cmap_all:
+            f2cmap_all[k] = {}
+
+        for k1, v1 in d1.items():
+            if v1 in c2py_map:
+                if k1 in f2cmap_all[k]:
+                    outmess(
+                        "\tWarning: redefinition of {'%s':{'%s':'%s'->'%s'}}\n"
+                        % (k, k1, f2cmap_all[k][k1], v1)
+                    )
+                f2cmap_all[k][k1] = v1
+                if verbose:
+                    outmess('\tMapping "%s(kind=%s)" to "%s"\n' % (k, k1, v1))
+                f2cmap_mapped.append(v1)
+            else:
+                if verbose:
+                    errmess(
+                        "\tIgnoring map {'%s':{'%s':'%s'}}: '%s' must be in %s\n"
+                        % (k, k1, v1, v1, list(c2py_map.keys()))
+                    )
+
+    return f2cmap_all, f2cmap_mapped
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/capi_maps.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/capi_maps.py
new file mode 100644
index 0000000000000000000000000000000000000000..83e5b1ba945a794f21e4c8e92caa8645ea42294f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/capi_maps.py
@@ -0,0 +1,821 @@
+"""
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+from . import __version__
+f2py_version = __version__.version
+
+import copy
+import re
+import os
+from .crackfortran import markoutercomma
+from . import cb_rules
+from ._isocbind import iso_c_binding_map, isoc_c2pycode_map, iso_c2py_map
+
+# The environment provided by auxfuncs.py is needed for some calls to eval.
+# As the needed functions cannot be determined by static inspection of the
+# code, it is safest to use import * pending a major refactoring of f2py.
+from .auxfuncs import *
+
+__all__ = [
+    'getctype', 'getstrlength', 'getarrdims', 'getpydocsign',
+    'getarrdocsign', 'getinit', 'sign2map', 'routsign2map', 'modsign2map',
+    'cb_sign2map', 'cb_routsign2map', 'common_sign2map', 'process_f2cmap_dict'
+]
+
+
+depargs = []
+lcb_map = {}
+lcb2_map = {}
+# forced casting: mainly caused by the fact that Python or Numeric
+#                 C/APIs do not support the corresponding C types.
+c2py_map = {'double': 'float',
+            'float': 'float',                          # forced casting
+            'long_double': 'float',                    # forced casting
+            'char': 'int',                             # forced casting
+            'signed_char': 'int',                      # forced casting
+            'unsigned_char': 'int',                    # forced casting
+            'short': 'int',                            # forced casting
+            'unsigned_short': 'int',                   # forced casting
+            'int': 'int',                              # forced casting
+            'long': 'int',
+            'long_long': 'long',
+            'unsigned': 'int',                         # forced casting
+            'complex_float': 'complex',                # forced casting
+            'complex_double': 'complex',
+            'complex_long_double': 'complex',          # forced casting
+            'string': 'string',
+            'character': 'bytes',
+            }
+
+c2capi_map = {'double': 'NPY_DOUBLE',
+                'float': 'NPY_FLOAT',
+                'long_double': 'NPY_LONGDOUBLE',
+                'char': 'NPY_BYTE',
+                'unsigned_char': 'NPY_UBYTE',
+                'signed_char': 'NPY_BYTE',
+                'short': 'NPY_SHORT',
+                'unsigned_short': 'NPY_USHORT',
+                'int': 'NPY_INT',
+                'unsigned': 'NPY_UINT',
+                'long': 'NPY_LONG',
+                'unsigned_long': 'NPY_ULONG',
+                'long_long': 'NPY_LONGLONG',
+                'unsigned_long_long': 'NPY_ULONGLONG',
+                'complex_float': 'NPY_CFLOAT',
+                'complex_double': 'NPY_CDOUBLE',
+                'complex_long_double': 'NPY_CDOUBLE',
+                'string': 'NPY_STRING',
+                'character': 'NPY_STRING'}
+
+c2pycode_map = {'double': 'd',
+                'float': 'f',
+                'long_double': 'g',
+                'char': 'b',
+                'unsigned_char': 'B',
+                'signed_char': 'b',
+                'short': 'h',
+                'unsigned_short': 'H',
+                'int': 'i',
+                'unsigned': 'I',
+                'long': 'l',
+                'unsigned_long': 'L',
+                'long_long': 'q',
+                'unsigned_long_long': 'Q',
+                'complex_float': 'F',
+                'complex_double': 'D',
+                'complex_long_double': 'G',
+                'string': 'S',
+                'character': 'c'}
+
+# https://docs.python.org/3/c-api/arg.html#building-values
+c2buildvalue_map = {'double': 'd',
+                    'float': 'f',
+                    'char': 'b',
+                    'signed_char': 'b',
+                    'short': 'h',
+                    'int': 'i',
+                    'long': 'l',
+                    'long_long': 'L',
+                    'complex_float': 'N',
+                    'complex_double': 'N',
+                    'complex_long_double': 'N',
+                    'string': 'y',
+                    'character': 'c'}
+
+f2cmap_all = {'real': {'': 'float', '4': 'float', '8': 'double',
+                       '12': 'long_double', '16': 'long_double'},
+              'integer': {'': 'int', '1': 'signed_char', '2': 'short',
+                          '4': 'int', '8': 'long_long',
+                          '-1': 'unsigned_char', '-2': 'unsigned_short',
+                          '-4': 'unsigned', '-8': 'unsigned_long_long'},
+              'complex': {'': 'complex_float', '8': 'complex_float',
+                          '16': 'complex_double', '24': 'complex_long_double',
+                          '32': 'complex_long_double'},
+              'complexkind': {'': 'complex_float', '4': 'complex_float',
+                              '8': 'complex_double', '12': 'complex_long_double',
+                              '16': 'complex_long_double'},
+              'logical': {'': 'int', '1': 'char', '2': 'short', '4': 'int',
+                          '8': 'long_long'},
+              'double complex': {'': 'complex_double'},
+              'double precision': {'': 'double'},
+              'byte': {'': 'char'},
+              }
+
+# Add ISO_C handling
+c2pycode_map.update(isoc_c2pycode_map)
+c2py_map.update(iso_c2py_map)
+f2cmap_all, _ = process_f2cmap_dict(f2cmap_all, iso_c_binding_map, c2py_map)
+# End ISO_C handling
+f2cmap_default = copy.deepcopy(f2cmap_all)
+
+f2cmap_mapped = []
+
+def load_f2cmap_file(f2cmap_file):
+    global f2cmap_all, f2cmap_mapped
+
+    f2cmap_all = copy.deepcopy(f2cmap_default)
+
+    if f2cmap_file is None:
+        # Default value
+        f2cmap_file = '.f2py_f2cmap'
+        if not os.path.isfile(f2cmap_file):
+            return
+
+    # User defined additions to f2cmap_all.
+    # f2cmap_file must contain a dictionary of dictionaries, only. For
+    # example, {'real':{'low':'float'}} means that Fortran 'real(low)' is
+    # interpreted as C 'float'. This feature is useful for F90/95 users if
+    # they use PARAMETERS in type specifications.
+    try:
+        outmess('Reading f2cmap from {!r} ...\n'.format(f2cmap_file))
+        with open(f2cmap_file) as f:
+            d = eval(f.read().lower(), {}, {})
+        f2cmap_all, f2cmap_mapped = process_f2cmap_dict(f2cmap_all, d, c2py_map, True)
+        outmess('Successfully applied user defined f2cmap changes\n')
+    except Exception as msg:
+        errmess('Failed to apply user defined f2cmap changes: %s. Skipping.\n' % (msg))
+
+
+cformat_map = {'double': '%g',
+               'float': '%g',
+               'long_double': '%Lg',
+               'char': '%d',
+               'signed_char': '%d',
+               'unsigned_char': '%hhu',
+               'short': '%hd',
+               'unsigned_short': '%hu',
+               'int': '%d',
+               'unsigned': '%u',
+               'long': '%ld',
+               'unsigned_long': '%lu',
+               'long_long': '%ld',
+               'complex_float': '(%g,%g)',
+               'complex_double': '(%g,%g)',
+               'complex_long_double': '(%Lg,%Lg)',
+               'string': '\\"%s\\"',
+               'character': "'%c'",
+               }
+
+# Auxiliary functions
+
+
+def getctype(var):
+    """
+    Determines C type
+    """
+    ctype = 'void'
+    if isfunction(var):
+        if 'result' in var:
+            a = var['result']
+        else:
+            a = var['name']
+        if a in var['vars']:
+            return getctype(var['vars'][a])
+        else:
+            errmess('getctype: function %s has no return value?!\n' % a)
+    elif issubroutine(var):
+        return ctype
+    elif ischaracter_or_characterarray(var):
+        return 'character'
+    elif isstring_or_stringarray(var):
+        return 'string'
+    elif 'typespec' in var and var['typespec'].lower() in f2cmap_all:
+        typespec = var['typespec'].lower()
+        f2cmap = f2cmap_all[typespec]
+        ctype = f2cmap['']  # default type
+        if 'kindselector' in var:
+            if '*' in var['kindselector']:
+                try:
+                    ctype = f2cmap[var['kindselector']['*']]
+                except KeyError:
+                    errmess('getctype: "%s %s %s" not supported.\n' %
+                            (var['typespec'], '*', var['kindselector']['*']))
+            elif 'kind' in var['kindselector']:
+                if typespec + 'kind' in f2cmap_all:
+                    f2cmap = f2cmap_all[typespec + 'kind']
+                try:
+                    ctype = f2cmap[var['kindselector']['kind']]
+                except KeyError:
+                    if typespec in f2cmap_all:
+                        f2cmap = f2cmap_all[typespec]
+                    try:
+                        ctype = f2cmap[str(var['kindselector']['kind'])]
+                    except KeyError:
+                        errmess('getctype: "%s(kind=%s)" is mapped to C "%s" (to override define dict(%s = dict(%s="")) in %s/.f2py_f2cmap file).\n'
+                                % (typespec, var['kindselector']['kind'], ctype,
+                                   typespec, var['kindselector']['kind'], os.getcwd()))
+    else:
+        if not isexternal(var):
+            errmess('getctype: No C-type found in "%s", assuming void.\n' % var)
+    return ctype
+
+
+def f2cexpr(expr):
+    """Rewrite Fortran expression as f2py supported C expression.
+
+    Due to the lack of a proper expression parser in f2py, this
+    function uses a heuristic approach that assumes that Fortran
+    arithmetic expressions are valid C arithmetic expressions when
+    mapping Fortran function calls to the corresponding C function/CPP
+    macros calls.
+
+    """
+    # TODO: support Fortran `len` function with optional kind parameter
+    expr = re.sub(r'\blen\b', 'f2py_slen', expr)
+    return expr
+
+
+def getstrlength(var):
+    if isstringfunction(var):
+        if 'result' in var:
+            a = var['result']
+        else:
+            a = var['name']
+        if a in var['vars']:
+            return getstrlength(var['vars'][a])
+        else:
+            errmess('getstrlength: function %s has no return value?!\n' % a)
+    if not isstring(var):
+        errmess(
+            'getstrlength: expected a signature of a string but got: %s\n' % (repr(var)))
+    len = '1'
+    if 'charselector' in var:
+        a = var['charselector']
+        if '*' in a:
+            len = a['*']
+        elif 'len' in a:
+            len = f2cexpr(a['len'])
+    if re.match(r'\(\s*(\*|:)\s*\)', len) or re.match(r'(\*|:)', len):
+        if isintent_hide(var):
+            errmess('getstrlength:intent(hide): expected a string with defined length but got: %s\n' % (
+                repr(var)))
+        len = '-1'
+    return len
+
+
+def getarrdims(a, var, verbose=0):
+    ret = {}
+    if isstring(var) and not isarray(var):
+        ret['size'] = getstrlength(var)
+        ret['rank'] = '0'
+        ret['dims'] = ''
+    elif isscalar(var):
+        ret['size'] = '1'
+        ret['rank'] = '0'
+        ret['dims'] = ''
+    elif isarray(var):
+        dim = copy.copy(var['dimension'])
+        ret['size'] = '*'.join(dim)
+        try:
+            ret['size'] = repr(eval(ret['size']))
+        except Exception:
+            pass
+        ret['dims'] = ','.join(dim)
+        ret['rank'] = repr(len(dim))
+        ret['rank*[-1]'] = repr(len(dim) * [-1])[1:-1]
+        for i in range(len(dim)):  # solve dim for dependencies
+            v = []
+            if dim[i] in depargs:
+                v = [dim[i]]
+            else:
+                for va in depargs:
+                    if re.match(r'.*?\b%s\b.*' % va, dim[i]):
+                        v.append(va)
+            for va in v:
+                if depargs.index(va) > depargs.index(a):
+                    dim[i] = '*'
+                    break
+        ret['setdims'], i = '', -1
+        for d in dim:
+            i = i + 1
+            if d not in ['*', ':', '(*)', '(:)']:
+                ret['setdims'] = '%s#varname#_Dims[%d]=%s,' % (
+                    ret['setdims'], i, d)
+        if ret['setdims']:
+            ret['setdims'] = ret['setdims'][:-1]
+        ret['cbsetdims'], i = '', -1
+        for d in var['dimension']:
+            i = i + 1
+            if d not in ['*', ':', '(*)', '(:)']:
+                ret['cbsetdims'] = '%s#varname#_Dims[%d]=%s,' % (
+                    ret['cbsetdims'], i, d)
+            elif isintent_in(var):
+                outmess('getarrdims:warning: assumed shape array, using 0 instead of %r\n'
+                        % (d))
+                ret['cbsetdims'] = '%s#varname#_Dims[%d]=%s,' % (
+                    ret['cbsetdims'], i, 0)
+            elif verbose:
+                errmess(
+                    'getarrdims: If in call-back function: array argument %s must have bounded dimensions: got %s\n' % (repr(a), repr(d)))
+        if ret['cbsetdims']:
+            ret['cbsetdims'] = ret['cbsetdims'][:-1]
+#         if not isintent_c(var):
+#             var['dimension'].reverse()
+    return ret
+
+
+def getpydocsign(a, var):
+    global lcb_map
+    if isfunction(var):
+        if 'result' in var:
+            af = var['result']
+        else:
+            af = var['name']
+        if af in var['vars']:
+            return getpydocsign(af, var['vars'][af])
+        else:
+            errmess('getctype: function %s has no return value?!\n' % af)
+        return '', ''
+    sig, sigout = a, a
+    opt = ''
+    if isintent_in(var):
+        opt = 'input'
+    elif isintent_inout(var):
+        opt = 'in/output'
+    out_a = a
+    if isintent_out(var):
+        for k in var['intent']:
+            if k[:4] == 'out=':
+                out_a = k[4:]
+                break
+    init = ''
+    ctype = getctype(var)
+
+    if hasinitvalue(var):
+        init, showinit = getinit(a, var)
+        init = ', optional\\n    Default: %s' % showinit
+    if isscalar(var):
+        if isintent_inout(var):
+            sig = '%s : %s rank-0 array(%s,\'%s\')%s' % (a, opt, c2py_map[ctype],
+                                                         c2pycode_map[ctype], init)
+        else:
+            sig = '%s : %s %s%s' % (a, opt, c2py_map[ctype], init)
+        sigout = '%s : %s' % (out_a, c2py_map[ctype])
+    elif isstring(var):
+        if isintent_inout(var):
+            sig = '%s : %s rank-0 array(string(len=%s),\'c\')%s' % (
+                a, opt, getstrlength(var), init)
+        else:
+            sig = '%s : %s string(len=%s)%s' % (
+                a, opt, getstrlength(var), init)
+        sigout = '%s : string(len=%s)' % (out_a, getstrlength(var))
+    elif isarray(var):
+        dim = var['dimension']
+        rank = repr(len(dim))
+        sig = '%s : %s rank-%s array(\'%s\') with bounds (%s)%s' % (a, opt, rank,
+                                                                    c2pycode_map[
+                                                                        ctype],
+                                                                    ','.join(dim), init)
+        if a == out_a:
+            sigout = '%s : rank-%s array(\'%s\') with bounds (%s)'\
+                % (a, rank, c2pycode_map[ctype], ','.join(dim))
+        else:
+            sigout = '%s : rank-%s array(\'%s\') with bounds (%s) and %s storage'\
+                % (out_a, rank, c2pycode_map[ctype], ','.join(dim), a)
+    elif isexternal(var):
+        ua = ''
+        if a in lcb_map and lcb_map[a] in lcb2_map and 'argname' in lcb2_map[lcb_map[a]]:
+            ua = lcb2_map[lcb_map[a]]['argname']
+            if not ua == a:
+                ua = ' => %s' % ua
+            else:
+                ua = ''
+        sig = '%s : call-back function%s' % (a, ua)
+        sigout = sig
+    else:
+        errmess(
+            'getpydocsign: Could not resolve docsignature for "%s".\n' % a)
+    return sig, sigout
+
+
+def getarrdocsign(a, var):
+    ctype = getctype(var)
+    if isstring(var) and (not isarray(var)):
+        sig = '%s : rank-0 array(string(len=%s),\'c\')' % (a,
+                                                           getstrlength(var))
+    elif isscalar(var):
+        sig = '%s : rank-0 array(%s,\'%s\')' % (a, c2py_map[ctype],
+                                                c2pycode_map[ctype],)
+    elif isarray(var):
+        dim = var['dimension']
+        rank = repr(len(dim))
+        sig = '%s : rank-%s array(\'%s\') with bounds (%s)' % (a, rank,
+                                                               c2pycode_map[
+                                                                   ctype],
+                                                               ','.join(dim))
+    return sig
+
+
+def getinit(a, var):
+    if isstring(var):
+        init, showinit = '""', "''"
+    else:
+        init, showinit = '', ''
+    if hasinitvalue(var):
+        init = var['=']
+        showinit = init
+        if iscomplex(var) or iscomplexarray(var):
+            ret = {}
+
+            try:
+                v = var["="]
+                if ',' in v:
+                    ret['init.r'], ret['init.i'] = markoutercomma(
+                        v[1:-1]).split('@,@')
+                else:
+                    v = eval(v, {}, {})
+                    ret['init.r'], ret['init.i'] = str(v.real), str(v.imag)
+            except Exception:
+                raise ValueError(
+                    'getinit: expected complex number `(r,i)\' but got `%s\' as initial value of %r.' % (init, a))
+            if isarray(var):
+                init = '(capi_c.r=%s,capi_c.i=%s,capi_c)' % (
+                    ret['init.r'], ret['init.i'])
+        elif isstring(var):
+            if not init:
+                init, showinit = '""', "''"
+            if init[0] == "'":
+                init = '"%s"' % (init[1:-1].replace('"', '\\"'))
+            if init[0] == '"':
+                showinit = "'%s'" % (init[1:-1])
+    return init, showinit
+
+
+def get_elsize(var):
+    if isstring(var) or isstringarray(var):
+        elsize = getstrlength(var)
+        # override with user-specified length when available:
+        elsize = var['charselector'].get('f2py_len', elsize)
+        return elsize
+    if ischaracter(var) or ischaracterarray(var):
+        return '1'
+    # for numerical types, PyArray_New* functions ignore specified
+    # elsize, so we just return 1 and let elsize be determined at
+    # runtime, see fortranobject.c
+    return '1'
+
+
+def sign2map(a, var):
+    """
+    varname,ctype,atype
+    init,init.r,init.i,pytype
+    vardebuginfo,vardebugshowvalue,varshowvalue
+    varrformat
+
+    intent
+    """
+    out_a = a
+    if isintent_out(var):
+        for k in var['intent']:
+            if k[:4] == 'out=':
+                out_a = k[4:]
+                break
+    ret = {'varname': a, 'outvarname': out_a, 'ctype': getctype(var)}
+    intent_flags = []
+    for f, s in isintent_dict.items():
+        if f(var):
+            intent_flags.append('F2PY_%s' % s)
+    if intent_flags:
+        # TODO: Evaluate intent_flags here.
+        ret['intent'] = '|'.join(intent_flags)
+    else:
+        ret['intent'] = 'F2PY_INTENT_IN'
+    if isarray(var):
+        ret['varrformat'] = 'N'
+    elif ret['ctype'] in c2buildvalue_map:
+        ret['varrformat'] = c2buildvalue_map[ret['ctype']]
+    else:
+        ret['varrformat'] = 'O'
+    ret['init'], ret['showinit'] = getinit(a, var)
+    if hasinitvalue(var) and iscomplex(var) and not isarray(var):
+        ret['init.r'], ret['init.i'] = markoutercomma(
+            ret['init'][1:-1]).split('@,@')
+    if isexternal(var):
+        ret['cbnamekey'] = a
+        if a in lcb_map:
+            ret['cbname'] = lcb_map[a]
+            ret['maxnofargs'] = lcb2_map[lcb_map[a]]['maxnofargs']
+            ret['nofoptargs'] = lcb2_map[lcb_map[a]]['nofoptargs']
+            ret['cbdocstr'] = lcb2_map[lcb_map[a]]['docstr']
+            ret['cblatexdocstr'] = lcb2_map[lcb_map[a]]['latexdocstr']
+        else:
+            ret['cbname'] = a
+            errmess('sign2map: Confused: external %s is not in lcb_map%s.\n' % (
+                a, list(lcb_map.keys())))
+    if isstring(var):
+        ret['length'] = getstrlength(var)
+    if isarray(var):
+        ret = dictappend(ret, getarrdims(a, var))
+        dim = copy.copy(var['dimension'])
+    if ret['ctype'] in c2capi_map:
+        ret['atype'] = c2capi_map[ret['ctype']]
+        ret['elsize'] = get_elsize(var)
+    # Debug info
+    if debugcapi(var):
+        il = [isintent_in, 'input', isintent_out, 'output',
+              isintent_inout, 'inoutput', isrequired, 'required',
+              isoptional, 'optional', isintent_hide, 'hidden',
+              iscomplex, 'complex scalar',
+              l_and(isscalar, l_not(iscomplex)), 'scalar',
+              isstring, 'string', isarray, 'array',
+              iscomplexarray, 'complex array', isstringarray, 'string array',
+              iscomplexfunction, 'complex function',
+              l_and(isfunction, l_not(iscomplexfunction)), 'function',
+              isexternal, 'callback',
+              isintent_callback, 'callback',
+              isintent_aux, 'auxiliary',
+              ]
+        rl = []
+        for i in range(0, len(il), 2):
+            if il[i](var):
+                rl.append(il[i + 1])
+        if isstring(var):
+            rl.append('slen(%s)=%s' % (a, ret['length']))
+        if isarray(var):
+            ddim = ','.join(
+                map(lambda x, y: '%s|%s' % (x, y), var['dimension'], dim))
+            rl.append('dims(%s)' % ddim)
+        if isexternal(var):
+            ret['vardebuginfo'] = 'debug-capi:%s=>%s:%s' % (
+                a, ret['cbname'], ','.join(rl))
+        else:
+            ret['vardebuginfo'] = 'debug-capi:%s %s=%s:%s' % (
+                ret['ctype'], a, ret['showinit'], ','.join(rl))
+        if isscalar(var):
+            if ret['ctype'] in cformat_map:
+                ret['vardebugshowvalue'] = 'debug-capi:%s=%s' % (
+                    a, cformat_map[ret['ctype']])
+        if isstring(var):
+            ret['vardebugshowvalue'] = 'debug-capi:slen(%s)=%%d %s=\\"%%s\\"' % (
+                a, a)
+        if isexternal(var):
+            ret['vardebugshowvalue'] = 'debug-capi:%s=%%p' % (a)
+    if ret['ctype'] in cformat_map:
+        ret['varshowvalue'] = '#name#:%s=%s' % (a, cformat_map[ret['ctype']])
+        ret['showvalueformat'] = '%s' % (cformat_map[ret['ctype']])
+    if isstring(var):
+        ret['varshowvalue'] = '#name#:slen(%s)=%%d %s=\\"%%s\\"' % (a, a)
+    ret['pydocsign'], ret['pydocsignout'] = getpydocsign(a, var)
+    if hasnote(var):
+        ret['note'] = var['note']
+    return ret
+
+
+def routsign2map(rout):
+    """
+    name,NAME,begintitle,endtitle
+    rname,ctype,rformat
+    routdebugshowvalue
+    """
+    global lcb_map
+    name = rout['name']
+    fname = getfortranname(rout)
+    ret = {'name': name,
+           'texname': name.replace('_', '\\_'),
+           'name_lower': name.lower(),
+           'NAME': name.upper(),
+           'begintitle': gentitle(name),
+           'endtitle': gentitle('end of %s' % name),
+           'fortranname': fname,
+           'FORTRANNAME': fname.upper(),
+           'callstatement': getcallstatement(rout) or '',
+           'usercode': getusercode(rout) or '',
+           'usercode1': getusercode1(rout) or '',
+           }
+    if '_' in fname:
+        ret['F_FUNC'] = 'F_FUNC_US'
+    else:
+        ret['F_FUNC'] = 'F_FUNC'
+    if '_' in name:
+        ret['F_WRAPPEDFUNC'] = 'F_WRAPPEDFUNC_US'
+    else:
+        ret['F_WRAPPEDFUNC'] = 'F_WRAPPEDFUNC'
+    lcb_map = {}
+    if 'use' in rout:
+        for u in rout['use'].keys():
+            if u in cb_rules.cb_map:
+                for un in cb_rules.cb_map[u]:
+                    ln = un[0]
+                    if 'map' in rout['use'][u]:
+                        for k in rout['use'][u]['map'].keys():
+                            if rout['use'][u]['map'][k] == un[0]:
+                                ln = k
+                                break
+                    lcb_map[ln] = un[1]
+    elif rout.get('externals'):
+        errmess('routsign2map: Confused: function %s has externals %s but no "use" statement.\n' % (
+            ret['name'], repr(rout['externals'])))
+    ret['callprotoargument'] = getcallprotoargument(rout, lcb_map) or ''
+    if isfunction(rout):
+        if 'result' in rout:
+            a = rout['result']
+        else:
+            a = rout['name']
+        ret['rname'] = a
+        ret['pydocsign'], ret['pydocsignout'] = getpydocsign(a, rout)
+        ret['ctype'] = getctype(rout['vars'][a])
+        if hasresultnote(rout):
+            ret['resultnote'] = rout['vars'][a]['note']
+            rout['vars'][a]['note'] = ['See elsewhere.']
+        if ret['ctype'] in c2buildvalue_map:
+            ret['rformat'] = c2buildvalue_map[ret['ctype']]
+        else:
+            ret['rformat'] = 'O'
+            errmess('routsign2map: no c2buildvalue key for type %s\n' %
+                    (repr(ret['ctype'])))
+        if debugcapi(rout):
+            if ret['ctype'] in cformat_map:
+                ret['routdebugshowvalue'] = 'debug-capi:%s=%s' % (
+                    a, cformat_map[ret['ctype']])
+            if isstringfunction(rout):
+                ret['routdebugshowvalue'] = 'debug-capi:slen(%s)=%%d %s=\\"%%s\\"' % (
+                    a, a)
+        if isstringfunction(rout):
+            ret['rlength'] = getstrlength(rout['vars'][a])
+            if ret['rlength'] == '-1':
+                errmess('routsign2map: expected explicit specification of the length of the string returned by the fortran function %s; taking 10.\n' % (
+                    repr(rout['name'])))
+                ret['rlength'] = '10'
+    if hasnote(rout):
+        ret['note'] = rout['note']
+        rout['note'] = ['See elsewhere.']
+    return ret
+
+
+def modsign2map(m):
+    """
+    modulename
+    """
+    if ismodule(m):
+        ret = {'f90modulename': m['name'],
+               'F90MODULENAME': m['name'].upper(),
+               'texf90modulename': m['name'].replace('_', '\\_')}
+    else:
+        ret = {'modulename': m['name'],
+               'MODULENAME': m['name'].upper(),
+               'texmodulename': m['name'].replace('_', '\\_')}
+    ret['restdoc'] = getrestdoc(m) or []
+    if hasnote(m):
+        ret['note'] = m['note']
+    ret['usercode'] = getusercode(m) or ''
+    ret['usercode1'] = getusercode1(m) or ''
+    if m['body']:
+        ret['interface_usercode'] = getusercode(m['body'][0]) or ''
+    else:
+        ret['interface_usercode'] = ''
+    ret['pymethoddef'] = getpymethoddef(m) or ''
+    if 'gil_used' in m:
+        ret['gil_used'] = m['gil_used']
+    if 'coutput' in m:
+        ret['coutput'] = m['coutput']
+    if 'f2py_wrapper_output' in m:
+        ret['f2py_wrapper_output'] = m['f2py_wrapper_output']
+    return ret
+
+
+def cb_sign2map(a, var, index=None):
+    ret = {'varname': a}
+    ret['varname_i'] = ret['varname']
+    ret['ctype'] = getctype(var)
+    if ret['ctype'] in c2capi_map:
+        ret['atype'] = c2capi_map[ret['ctype']]
+        ret['elsize'] = get_elsize(var)
+    if ret['ctype'] in cformat_map:
+        ret['showvalueformat'] = '%s' % (cformat_map[ret['ctype']])
+    if isarray(var):
+        ret = dictappend(ret, getarrdims(a, var))
+    ret['pydocsign'], ret['pydocsignout'] = getpydocsign(a, var)
+    if hasnote(var):
+        ret['note'] = var['note']
+        var['note'] = ['See elsewhere.']
+    return ret
+
+
+def cb_routsign2map(rout, um):
+    """
+    name,begintitle,endtitle,argname
+    ctype,rctype,maxnofargs,nofoptargs,returncptr
+    """
+    ret = {'name': 'cb_%s_in_%s' % (rout['name'], um),
+           'returncptr': ''}
+    if isintent_callback(rout):
+        if '_' in rout['name']:
+            F_FUNC = 'F_FUNC_US'
+        else:
+            F_FUNC = 'F_FUNC'
+        ret['callbackname'] = '%s(%s,%s)' \
+                              % (F_FUNC,
+                                 rout['name'].lower(),
+                                 rout['name'].upper(),
+                                 )
+        ret['static'] = 'extern'
+    else:
+        ret['callbackname'] = ret['name']
+        ret['static'] = 'static'
+    ret['argname'] = rout['name']
+    ret['begintitle'] = gentitle(ret['name'])
+    ret['endtitle'] = gentitle('end of %s' % ret['name'])
+    ret['ctype'] = getctype(rout)
+    ret['rctype'] = 'void'
+    if ret['ctype'] == 'string':
+        ret['rctype'] = 'void'
+    else:
+        ret['rctype'] = ret['ctype']
+    if ret['rctype'] != 'void':
+        if iscomplexfunction(rout):
+            ret['returncptr'] = """
+#ifdef F2PY_CB_RETURNCOMPLEX
+return_value=
+#endif
+"""
+        else:
+            ret['returncptr'] = 'return_value='
+    if ret['ctype'] in cformat_map:
+        ret['showvalueformat'] = '%s' % (cformat_map[ret['ctype']])
+    if isstringfunction(rout):
+        ret['strlength'] = getstrlength(rout)
+    if isfunction(rout):
+        if 'result' in rout:
+            a = rout['result']
+        else:
+            a = rout['name']
+        if hasnote(rout['vars'][a]):
+            ret['note'] = rout['vars'][a]['note']
+            rout['vars'][a]['note'] = ['See elsewhere.']
+        ret['rname'] = a
+        ret['pydocsign'], ret['pydocsignout'] = getpydocsign(a, rout)
+        if iscomplexfunction(rout):
+            ret['rctype'] = """
+#ifdef F2PY_CB_RETURNCOMPLEX
+#ctype#
+#else
+void
+#endif
+"""
+    else:
+        if hasnote(rout):
+            ret['note'] = rout['note']
+            rout['note'] = ['See elsewhere.']
+    nofargs = 0
+    nofoptargs = 0
+    if 'args' in rout and 'vars' in rout:
+        for a in rout['args']:
+            var = rout['vars'][a]
+            if l_or(isintent_in, isintent_inout)(var):
+                nofargs = nofargs + 1
+                if isoptional(var):
+                    nofoptargs = nofoptargs + 1
+    ret['maxnofargs'] = repr(nofargs)
+    ret['nofoptargs'] = repr(nofoptargs)
+    if hasnote(rout) and isfunction(rout) and 'result' in rout:
+        ret['routnote'] = rout['note']
+        rout['note'] = ['See elsewhere.']
+    return ret
+
+
+def common_sign2map(a, var):  # obsolete
+    ret = {'varname': a, 'ctype': getctype(var)}
+    if isstringarray(var):
+        ret['ctype'] = 'char'
+    if ret['ctype'] in c2capi_map:
+        ret['atype'] = c2capi_map[ret['ctype']]
+        ret['elsize'] = get_elsize(var)
+    if ret['ctype'] in cformat_map:
+        ret['showvalueformat'] = '%s' % (cformat_map[ret['ctype']])
+    if isarray(var):
+        ret = dictappend(ret, getarrdims(a, var))
+    elif isstring(var):
+        ret['size'] = getstrlength(var)
+        ret['rank'] = '1'
+    ret['pydocsign'], ret['pydocsignout'] = getpydocsign(a, var)
+    if hasnote(var):
+        ret['note'] = var['note']
+        var['note'] = ['See elsewhere.']
+    # for strings this returns 0-rank but actually is 1-rank
+    ret['arrdocstr'] = getarrdocsign(a, var)
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/cb_rules.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/cb_rules.py
new file mode 100644
index 0000000000000000000000000000000000000000..faf8dd4013018a3fd1cfc1afdf62104ed98b16b1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/cb_rules.py
@@ -0,0 +1,644 @@
+"""
+Build call-back mechanism for f2py2e.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+from . import __version__
+from .auxfuncs import (
+    applyrules, debugcapi, dictappend, errmess, getargs, hasnote, isarray,
+    iscomplex, iscomplexarray, iscomplexfunction, isfunction, isintent_c,
+    isintent_hide, isintent_in, isintent_inout, isintent_nothide,
+    isintent_out, isoptional, isrequired, isscalar, isstring,
+    isstringfunction, issubroutine, l_and, l_not, l_or, outmess, replace,
+    stripcomma, throw_error
+)
+from . import cfuncs
+
+f2py_version = __version__.version
+
+
+################## Rules for callback function ##############
+
+cb_routine_rules = {
+    'cbtypedefs': 'typedef #rctype#(*#name#_typedef)(#optargs_td##args_td##strarglens_td##noargs#);',
+    'body': """
+#begintitle#
+typedef struct {
+    PyObject *capi;
+    PyTupleObject *args_capi;
+    int nofargs;
+    jmp_buf jmpbuf;
+} #name#_t;
+
+#if defined(F2PY_THREAD_LOCAL_DECL) && !defined(F2PY_USE_PYTHON_TLS)
+
+static F2PY_THREAD_LOCAL_DECL #name#_t *_active_#name# = NULL;
+
+static #name#_t *swap_active_#name#(#name#_t *ptr) {
+    #name#_t *prev = _active_#name#;
+    _active_#name# = ptr;
+    return prev;
+}
+
+static #name#_t *get_active_#name#(void) {
+    return _active_#name#;
+}
+
+#else
+
+static #name#_t *swap_active_#name#(#name#_t *ptr) {
+    char *key = "__f2py_cb_#name#";
+    return (#name#_t *)F2PySwapThreadLocalCallbackPtr(key, ptr);
+}
+
+static #name#_t *get_active_#name#(void) {
+    char *key = "__f2py_cb_#name#";
+    return (#name#_t *)F2PyGetThreadLocalCallbackPtr(key);
+}
+
+#endif
+
+/*typedef #rctype#(*#name#_typedef)(#optargs_td##args_td##strarglens_td##noargs#);*/
+#static# #rctype# #callbackname# (#optargs##args##strarglens##noargs#) {
+    #name#_t cb_local = { NULL, NULL, 0 };
+    #name#_t *cb = NULL;
+    PyTupleObject *capi_arglist = NULL;
+    PyObject *capi_return = NULL;
+    PyObject *capi_tmp = NULL;
+    PyObject *capi_arglist_list = NULL;
+    int capi_j,capi_i = 0;
+    int capi_longjmp_ok = 1;
+#decl#
+#ifdef F2PY_REPORT_ATEXIT
+f2py_cb_start_clock();
+#endif
+    cb = get_active_#name#();
+    if (cb == NULL) {
+        capi_longjmp_ok = 0;
+        cb = &cb_local;
+    }
+    capi_arglist = cb->args_capi;
+    CFUNCSMESS(\"cb:Call-back function #name# (maxnofargs=#maxnofargs#(-#nofoptargs#))\\n\");
+    CFUNCSMESSPY(\"cb:#name#_capi=\",cb->capi);
+    if (cb->capi==NULL) {
+        capi_longjmp_ok = 0;
+        cb->capi = PyObject_GetAttrString(#modulename#_module,\"#argname#\");
+        CFUNCSMESSPY(\"cb:#name#_capi=\",cb->capi);
+    }
+    if (cb->capi==NULL) {
+        PyErr_SetString(#modulename#_error,\"cb: Callback #argname# not defined (as an argument or module #modulename# attribute).\\n\");
+        goto capi_fail;
+    }
+    if (F2PyCapsule_Check(cb->capi)) {
+    #name#_typedef #name#_cptr;
+    #name#_cptr = F2PyCapsule_AsVoidPtr(cb->capi);
+    #returncptr#(*#name#_cptr)(#optargs_nm##args_nm##strarglens_nm#);
+    #return#
+    }
+    if (capi_arglist==NULL) {
+        capi_longjmp_ok = 0;
+        capi_tmp = PyObject_GetAttrString(#modulename#_module,\"#argname#_extra_args\");
+        if (capi_tmp) {
+            capi_arglist = (PyTupleObject *)PySequence_Tuple(capi_tmp);
+            Py_DECREF(capi_tmp);
+            if (capi_arglist==NULL) {
+                PyErr_SetString(#modulename#_error,\"Failed to convert #modulename#.#argname#_extra_args to tuple.\\n\");
+                goto capi_fail;
+            }
+        } else {
+            PyErr_Clear();
+            capi_arglist = (PyTupleObject *)Py_BuildValue(\"()\");
+        }
+    }
+    if (capi_arglist == NULL) {
+        PyErr_SetString(#modulename#_error,\"Callback #argname# argument list is not set.\\n\");
+        goto capi_fail;
+    }
+#setdims#
+#ifdef PYPY_VERSION
+#define CAPI_ARGLIST_SETITEM(idx, value) PyList_SetItem((PyObject *)capi_arglist_list, idx, value)
+    capi_arglist_list = PySequence_List((PyObject *)capi_arglist);
+    if (capi_arglist_list == NULL) goto capi_fail;
+#else
+#define CAPI_ARGLIST_SETITEM(idx, value) PyTuple_SetItem((PyObject *)capi_arglist, idx, value)
+#endif
+#pyobjfrom#
+#undef CAPI_ARGLIST_SETITEM
+#ifdef PYPY_VERSION
+    CFUNCSMESSPY(\"cb:capi_arglist=\",capi_arglist_list);
+#else
+    CFUNCSMESSPY(\"cb:capi_arglist=\",capi_arglist);
+#endif
+    CFUNCSMESS(\"cb:Call-back calling Python function #argname#.\\n\");
+#ifdef F2PY_REPORT_ATEXIT
+f2py_cb_start_call_clock();
+#endif
+#ifdef PYPY_VERSION
+    capi_return = PyObject_CallObject(cb->capi,(PyObject *)capi_arglist_list);
+    Py_DECREF(capi_arglist_list);
+    capi_arglist_list = NULL;
+#else
+    capi_return = PyObject_CallObject(cb->capi,(PyObject *)capi_arglist);
+#endif
+#ifdef F2PY_REPORT_ATEXIT
+f2py_cb_stop_call_clock();
+#endif
+    CFUNCSMESSPY(\"cb:capi_return=\",capi_return);
+    if (capi_return == NULL) {
+        fprintf(stderr,\"capi_return is NULL\\n\");
+        goto capi_fail;
+    }
+    if (capi_return == Py_None) {
+        Py_DECREF(capi_return);
+        capi_return = Py_BuildValue(\"()\");
+    }
+    else if (!PyTuple_Check(capi_return)) {
+        capi_return = Py_BuildValue(\"(N)\",capi_return);
+    }
+    capi_j = PyTuple_Size(capi_return);
+    capi_i = 0;
+#frompyobj#
+    CFUNCSMESS(\"cb:#name#:successful\\n\");
+    Py_DECREF(capi_return);
+#ifdef F2PY_REPORT_ATEXIT
+f2py_cb_stop_clock();
+#endif
+    goto capi_return_pt;
+capi_fail:
+    fprintf(stderr,\"Call-back #name# failed.\\n\");
+    Py_XDECREF(capi_return);
+    Py_XDECREF(capi_arglist_list);
+    if (capi_longjmp_ok) {
+        longjmp(cb->jmpbuf,-1);
+    }
+capi_return_pt:
+    ;
+#return#
+}
+#endtitle#
+""",
+    'need': ['setjmp.h', 'CFUNCSMESS', 'F2PY_THREAD_LOCAL_DECL'],
+    'maxnofargs': '#maxnofargs#',
+    'nofoptargs': '#nofoptargs#',
+    'docstr': """\
+    def #argname#(#docsignature#): return #docreturn#\\n\\
+#docstrsigns#""",
+    'latexdocstr': """
+{{}\\verb@def #argname#(#latexdocsignature#): return #docreturn#@{}}
+#routnote#
+
+#latexdocstrsigns#""",
+    'docstrshort': 'def #argname#(#docsignature#): return #docreturn#'
+}
+cb_rout_rules = [
+    {  # Init
+        'separatorsfor': {'decl': '\n',
+                          'args': ',', 'optargs': '', 'pyobjfrom': '\n', 'freemem': '\n',
+                          'args_td': ',', 'optargs_td': '',
+                          'args_nm': ',', 'optargs_nm': '',
+                          'frompyobj': '\n', 'setdims': '\n',
+                          'docstrsigns': '\\n"\n"',
+                          'latexdocstrsigns': '\n',
+                          'latexdocstrreq': '\n', 'latexdocstropt': '\n',
+                          'latexdocstrout': '\n', 'latexdocstrcbs': '\n',
+                          },
+        'decl': '/*decl*/', 'pyobjfrom': '/*pyobjfrom*/', 'frompyobj': '/*frompyobj*/',
+        'args': [], 'optargs': '', 'return': '', 'strarglens': '', 'freemem': '/*freemem*/',
+        'args_td': [], 'optargs_td': '', 'strarglens_td': '',
+        'args_nm': [], 'optargs_nm': '', 'strarglens_nm': '',
+        'noargs': '',
+        'setdims': '/*setdims*/',
+        'docstrsigns': '', 'latexdocstrsigns': '',
+        'docstrreq': '    Required arguments:',
+        'docstropt': '    Optional arguments:',
+        'docstrout': '    Return objects:',
+        'docstrcbs': '    Call-back functions:',
+        'docreturn': '', 'docsign': '', 'docsignopt': '',
+        'latexdocstrreq': '\\noindent Required arguments:',
+        'latexdocstropt': '\\noindent Optional arguments:',
+        'latexdocstrout': '\\noindent Return objects:',
+        'latexdocstrcbs': '\\noindent Call-back functions:',
+        'routnote': {hasnote: '--- #note#', l_not(hasnote): ''},
+    }, {  # Function
+        'decl': '    #ctype# return_value = 0;',
+        'frompyobj': [
+            {debugcapi: '    CFUNCSMESS("cb:Getting return_value->");'},
+            '''\
+    if (capi_j>capi_i) {
+        GETSCALARFROMPYTUPLE(capi_return,capi_i++,&return_value,#ctype#,
+          "#ctype#_from_pyobj failed in converting return_value of"
+          " call-back function #name# to C #ctype#\\n");
+    } else {
+        fprintf(stderr,"Warning: call-back function #name# did not provide"
+                       " return value (index=%d, type=#ctype#)\\n",capi_i);
+    }''',
+            {debugcapi:
+             '    fprintf(stderr,"#showvalueformat#.\\n",return_value);'}
+        ],
+        'need': ['#ctype#_from_pyobj', {debugcapi: 'CFUNCSMESS'}, 'GETSCALARFROMPYTUPLE'],
+        'return': '    return return_value;',
+        '_check': l_and(isfunction, l_not(isstringfunction), l_not(iscomplexfunction))
+    },
+    {  # String function
+        'pyobjfrom': {debugcapi: '    fprintf(stderr,"debug-capi:cb:#name#:%d:\\n",return_value_len);'},
+        'args': '#ctype# return_value,int return_value_len',
+        'args_nm': 'return_value,&return_value_len',
+        'args_td': '#ctype# ,int',
+        'frompyobj': [
+            {debugcapi: '    CFUNCSMESS("cb:Getting return_value->\\"");'},
+            """\
+    if (capi_j>capi_i) {
+        GETSTRFROMPYTUPLE(capi_return,capi_i++,return_value,return_value_len);
+    } else {
+        fprintf(stderr,"Warning: call-back function #name# did not provide"
+                       " return value (index=%d, type=#ctype#)\\n",capi_i);
+    }""",
+            {debugcapi:
+             '    fprintf(stderr,"#showvalueformat#\\".\\n",return_value);'}
+        ],
+        'need': ['#ctype#_from_pyobj', {debugcapi: 'CFUNCSMESS'},
+                 'string.h', 'GETSTRFROMPYTUPLE'],
+        'return': 'return;',
+        '_check': isstringfunction
+    },
+    {  # Complex function
+        'optargs': """
+#ifndef F2PY_CB_RETURNCOMPLEX
+#ctype# *return_value
+#endif
+""",
+        'optargs_nm': """
+#ifndef F2PY_CB_RETURNCOMPLEX
+return_value
+#endif
+""",
+        'optargs_td': """
+#ifndef F2PY_CB_RETURNCOMPLEX
+#ctype# *
+#endif
+""",
+        'decl': """
+#ifdef F2PY_CB_RETURNCOMPLEX
+    #ctype# return_value = {0, 0};
+#endif
+""",
+        'frompyobj': [
+            {debugcapi: '    CFUNCSMESS("cb:Getting return_value->");'},
+            """\
+    if (capi_j>capi_i) {
+#ifdef F2PY_CB_RETURNCOMPLEX
+        GETSCALARFROMPYTUPLE(capi_return,capi_i++,&return_value,#ctype#,
+          \"#ctype#_from_pyobj failed in converting return_value of call-back\"
+          \" function #name# to C #ctype#\\n\");
+#else
+        GETSCALARFROMPYTUPLE(capi_return,capi_i++,return_value,#ctype#,
+          \"#ctype#_from_pyobj failed in converting return_value of call-back\"
+          \" function #name# to C #ctype#\\n\");
+#endif
+    } else {
+        fprintf(stderr,
+                \"Warning: call-back function #name# did not provide\"
+                \" return value (index=%d, type=#ctype#)\\n\",capi_i);
+    }""",
+            {debugcapi: """\
+#ifdef F2PY_CB_RETURNCOMPLEX
+    fprintf(stderr,\"#showvalueformat#.\\n\",(return_value).r,(return_value).i);
+#else
+    fprintf(stderr,\"#showvalueformat#.\\n\",(*return_value).r,(*return_value).i);
+#endif
+"""}
+        ],
+        'return': """
+#ifdef F2PY_CB_RETURNCOMPLEX
+    return return_value;
+#else
+    return;
+#endif
+""",
+        'need': ['#ctype#_from_pyobj', {debugcapi: 'CFUNCSMESS'},
+                 'string.h', 'GETSCALARFROMPYTUPLE', '#ctype#'],
+        '_check': iscomplexfunction
+    },
+    {'docstrout': '        #pydocsignout#',
+     'latexdocstrout': ['\\item[]{{}\\verb@#pydocsignout#@{}}',
+                        {hasnote: '--- #note#'}],
+     'docreturn': '#rname#,',
+     '_check': isfunction},
+    {'_check': issubroutine, 'return': 'return;'}
+]
+
+cb_arg_rules = [
+    {  # Doc
+        'docstropt': {l_and(isoptional, isintent_nothide): '        #pydocsign#'},
+        'docstrreq': {l_and(isrequired, isintent_nothide): '        #pydocsign#'},
+        'docstrout': {isintent_out: '        #pydocsignout#'},
+        'latexdocstropt': {l_and(isoptional, isintent_nothide): ['\\item[]{{}\\verb@#pydocsign#@{}}',
+                                                                 {hasnote: '--- #note#'}]},
+        'latexdocstrreq': {l_and(isrequired, isintent_nothide): ['\\item[]{{}\\verb@#pydocsign#@{}}',
+                                                                 {hasnote: '--- #note#'}]},
+        'latexdocstrout': {isintent_out: ['\\item[]{{}\\verb@#pydocsignout#@{}}',
+                                          {l_and(hasnote, isintent_hide): '--- #note#',
+                                           l_and(hasnote, isintent_nothide): '--- See above.'}]},
+        'docsign': {l_and(isrequired, isintent_nothide): '#varname#,'},
+        'docsignopt': {l_and(isoptional, isintent_nothide): '#varname#,'},
+        'depend': ''
+    },
+    {
+        'args': {
+            l_and(isscalar, isintent_c): '#ctype# #varname_i#',
+            l_and(isscalar, l_not(isintent_c)): '#ctype# *#varname_i#_cb_capi',
+            isarray: '#ctype# *#varname_i#',
+            isstring: '#ctype# #varname_i#'
+        },
+        'args_nm': {
+            l_and(isscalar, isintent_c): '#varname_i#',
+            l_and(isscalar, l_not(isintent_c)): '#varname_i#_cb_capi',
+            isarray: '#varname_i#',
+            isstring: '#varname_i#'
+        },
+        'args_td': {
+            l_and(isscalar, isintent_c): '#ctype#',
+            l_and(isscalar, l_not(isintent_c)): '#ctype# *',
+            isarray: '#ctype# *',
+            isstring: '#ctype#'
+        },
+        'need': {l_or(isscalar, isarray, isstring): '#ctype#'},
+        # untested with multiple args
+        'strarglens': {isstring: ',int #varname_i#_cb_len'},
+        'strarglens_td': {isstring: ',int'},  # untested with multiple args
+        # untested with multiple args
+        'strarglens_nm': {isstring: ',#varname_i#_cb_len'},
+    },
+    {  # Scalars
+        'decl': {l_not(isintent_c): '    #ctype# #varname_i#=(*#varname_i#_cb_capi);'},
+        'error': {l_and(isintent_c, isintent_out,
+                        throw_error('intent(c,out) is forbidden for callback scalar arguments')):
+                  ''},
+        'frompyobj': [{debugcapi: '    CFUNCSMESS("cb:Getting #varname#->");'},
+                      {isintent_out:
+                       '    if (capi_j>capi_i)\n        GETSCALARFROMPYTUPLE(capi_return,capi_i++,#varname_i#_cb_capi,#ctype#,"#ctype#_from_pyobj failed in converting argument #varname# of call-back function #name# to C #ctype#\\n");'},
+                      {l_and(debugcapi, l_and(l_not(iscomplex), isintent_c)):
+                          '    fprintf(stderr,"#showvalueformat#.\\n",#varname_i#);'},
+                      {l_and(debugcapi, l_and(l_not(iscomplex), l_not( isintent_c))):
+                          '    fprintf(stderr,"#showvalueformat#.\\n",*#varname_i#_cb_capi);'},
+                      {l_and(debugcapi, l_and(iscomplex, isintent_c)):
+                          '    fprintf(stderr,"#showvalueformat#.\\n",(#varname_i#).r,(#varname_i#).i);'},
+                      {l_and(debugcapi, l_and(iscomplex, l_not( isintent_c))):
+                          '    fprintf(stderr,"#showvalueformat#.\\n",(*#varname_i#_cb_capi).r,(*#varname_i#_cb_capi).i);'},
+                      ],
+        'need': [{isintent_out: ['#ctype#_from_pyobj', 'GETSCALARFROMPYTUPLE']},
+                 {debugcapi: 'CFUNCSMESS'}],
+        '_check': isscalar
+    }, {
+        'pyobjfrom': [{isintent_in: """\
+    if (cb->nofargs>capi_i)
+        if (CAPI_ARGLIST_SETITEM(capi_i++,pyobj_from_#ctype#1(#varname_i#)))
+            goto capi_fail;"""},
+                      {isintent_inout: """\
+    if (cb->nofargs>capi_i)
+        if (CAPI_ARGLIST_SETITEM(capi_i++,pyarr_from_p_#ctype#1(#varname_i#_cb_capi)))
+            goto capi_fail;"""}],
+        'need': [{isintent_in: 'pyobj_from_#ctype#1'},
+                 {isintent_inout: 'pyarr_from_p_#ctype#1'},
+                 {iscomplex: '#ctype#'}],
+        '_check': l_and(isscalar, isintent_nothide),
+        '_optional': ''
+    }, {  # String
+        'frompyobj': [{debugcapi: '    CFUNCSMESS("cb:Getting #varname#->\\"");'},
+                      """    if (capi_j>capi_i)
+        GETSTRFROMPYTUPLE(capi_return,capi_i++,#varname_i#,#varname_i#_cb_len);""",
+                      {debugcapi:
+                       '    fprintf(stderr,"#showvalueformat#\\":%d:.\\n",#varname_i#,#varname_i#_cb_len);'},
+                      ],
+        'need': ['#ctype#', 'GETSTRFROMPYTUPLE',
+                 {debugcapi: 'CFUNCSMESS'}, 'string.h'],
+        '_check': l_and(isstring, isintent_out)
+    }, {
+        'pyobjfrom': [
+            {debugcapi:
+             ('    fprintf(stderr,"debug-capi:cb:#varname#=#showvalueformat#:'
+              '%d:\\n",#varname_i#,#varname_i#_cb_len);')},
+            {isintent_in: """\
+    if (cb->nofargs>capi_i)
+        if (CAPI_ARGLIST_SETITEM(capi_i++,pyobj_from_#ctype#1size(#varname_i#,#varname_i#_cb_len)))
+            goto capi_fail;"""},
+                      {isintent_inout: """\
+    if (cb->nofargs>capi_i) {
+        int #varname_i#_cb_dims[] = {#varname_i#_cb_len};
+        if (CAPI_ARGLIST_SETITEM(capi_i++,pyarr_from_p_#ctype#1(#varname_i#,#varname_i#_cb_dims)))
+            goto capi_fail;
+    }"""}],
+        'need': [{isintent_in: 'pyobj_from_#ctype#1size'},
+                 {isintent_inout: 'pyarr_from_p_#ctype#1'}],
+        '_check': l_and(isstring, isintent_nothide),
+        '_optional': ''
+    },
+    # Array ...
+    {
+        'decl': '    npy_intp #varname_i#_Dims[#rank#] = {#rank*[-1]#};',
+        'setdims': '    #cbsetdims#;',
+        '_check': isarray,
+        '_depend': ''
+    },
+    {
+        'pyobjfrom': [{debugcapi: '    fprintf(stderr,"debug-capi:cb:#varname#\\n");'},
+                      {isintent_c: """\
+    if (cb->nofargs>capi_i) {
+        /* tmp_arr will be inserted to capi_arglist_list that will be
+           destroyed when leaving callback function wrapper together
+           with tmp_arr. */
+        PyArrayObject *tmp_arr = (PyArrayObject *)PyArray_New(&PyArray_Type,
+          #rank#,#varname_i#_Dims,#atype#,NULL,(char*)#varname_i#,#elsize#,
+          NPY_ARRAY_CARRAY,NULL);
+""",
+                       l_not(isintent_c): """\
+    if (cb->nofargs>capi_i) {
+        /* tmp_arr will be inserted to capi_arglist_list that will be
+           destroyed when leaving callback function wrapper together
+           with tmp_arr. */
+        PyArrayObject *tmp_arr = (PyArrayObject *)PyArray_New(&PyArray_Type,
+          #rank#,#varname_i#_Dims,#atype#,NULL,(char*)#varname_i#,#elsize#,
+          NPY_ARRAY_FARRAY,NULL);
+""",
+                       },
+                      """
+        if (tmp_arr==NULL)
+            goto capi_fail;
+        if (CAPI_ARGLIST_SETITEM(capi_i++,(PyObject *)tmp_arr))
+            goto capi_fail;
+}"""],
+        '_check': l_and(isarray, isintent_nothide, l_or(isintent_in, isintent_inout)),
+        '_optional': '',
+    }, {
+        'frompyobj': [{debugcapi: '    CFUNCSMESS("cb:Getting #varname#->");'},
+                      """    if (capi_j>capi_i) {
+        PyArrayObject *rv_cb_arr = NULL;
+        if ((capi_tmp = PyTuple_GetItem(capi_return,capi_i++))==NULL) goto capi_fail;
+        rv_cb_arr =  array_from_pyobj(#atype#,#varname_i#_Dims,#rank#,F2PY_INTENT_IN""",
+                      {isintent_c: '|F2PY_INTENT_C'},
+                      """,capi_tmp);
+        if (rv_cb_arr == NULL) {
+            fprintf(stderr,\"rv_cb_arr is NULL\\n\");
+            goto capi_fail;
+        }
+        MEMCOPY(#varname_i#,PyArray_DATA(rv_cb_arr),PyArray_NBYTES(rv_cb_arr));
+        if (capi_tmp != (PyObject *)rv_cb_arr) {
+            Py_DECREF(rv_cb_arr);
+        }
+    }""",
+                      {debugcapi: '    fprintf(stderr,"<-.\\n");'},
+                      ],
+        'need': ['MEMCOPY', {iscomplexarray: '#ctype#'}],
+        '_check': l_and(isarray, isintent_out)
+    }, {
+        'docreturn': '#varname#,',
+        '_check': isintent_out
+    }
+]
+
+################## Build call-back module #############
+cb_map = {}
+
+
+def buildcallbacks(m):
+    cb_map[m['name']] = []
+    for bi in m['body']:
+        if bi['block'] == 'interface':
+            for b in bi['body']:
+                if b:
+                    buildcallback(b, m['name'])
+                else:
+                    errmess('warning: empty body for %s\n' % (m['name']))
+
+
+def buildcallback(rout, um):
+    from . import capi_maps
+
+    outmess('    Constructing call-back function "cb_%s_in_%s"\n' %
+            (rout['name'], um))
+    args, depargs = getargs(rout)
+    capi_maps.depargs = depargs
+    var = rout['vars']
+    vrd = capi_maps.cb_routsign2map(rout, um)
+    rd = dictappend({}, vrd)
+    cb_map[um].append([rout['name'], rd['name']])
+    for r in cb_rout_rules:
+        if ('_check' in r and r['_check'](rout)) or ('_check' not in r):
+            ar = applyrules(r, vrd, rout)
+            rd = dictappend(rd, ar)
+    savevrd = {}
+    for i, a in enumerate(args):
+        vrd = capi_maps.cb_sign2map(a, var[a], index=i)
+        savevrd[a] = vrd
+        for r in cb_arg_rules:
+            if '_depend' in r:
+                continue
+            if '_optional' in r and isoptional(var[a]):
+                continue
+            if ('_check' in r and r['_check'](var[a])) or ('_check' not in r):
+                ar = applyrules(r, vrd, var[a])
+                rd = dictappend(rd, ar)
+                if '_break' in r:
+                    break
+    for a in args:
+        vrd = savevrd[a]
+        for r in cb_arg_rules:
+            if '_depend' in r:
+                continue
+            if ('_optional' not in r) or ('_optional' in r and isrequired(var[a])):
+                continue
+            if ('_check' in r and r['_check'](var[a])) or ('_check' not in r):
+                ar = applyrules(r, vrd, var[a])
+                rd = dictappend(rd, ar)
+                if '_break' in r:
+                    break
+    for a in depargs:
+        vrd = savevrd[a]
+        for r in cb_arg_rules:
+            if '_depend' not in r:
+                continue
+            if '_optional' in r:
+                continue
+            if ('_check' in r and r['_check'](var[a])) or ('_check' not in r):
+                ar = applyrules(r, vrd, var[a])
+                rd = dictappend(rd, ar)
+                if '_break' in r:
+                    break
+    if 'args' in rd and 'optargs' in rd:
+        if isinstance(rd['optargs'], list):
+            rd['optargs'] = rd['optargs'] + ["""
+#ifndef F2PY_CB_RETURNCOMPLEX
+,
+#endif
+"""]
+            rd['optargs_nm'] = rd['optargs_nm'] + ["""
+#ifndef F2PY_CB_RETURNCOMPLEX
+,
+#endif
+"""]
+            rd['optargs_td'] = rd['optargs_td'] + ["""
+#ifndef F2PY_CB_RETURNCOMPLEX
+,
+#endif
+"""]
+    if isinstance(rd['docreturn'], list):
+        rd['docreturn'] = stripcomma(
+            replace('#docreturn#', {'docreturn': rd['docreturn']}))
+    optargs = stripcomma(replace('#docsignopt#',
+                                 {'docsignopt': rd['docsignopt']}
+                                 ))
+    if optargs == '':
+        rd['docsignature'] = stripcomma(
+            replace('#docsign#', {'docsign': rd['docsign']}))
+    else:
+        rd['docsignature'] = replace('#docsign#[#docsignopt#]',
+                                     {'docsign': rd['docsign'],
+                                      'docsignopt': optargs,
+                                      })
+    rd['latexdocsignature'] = rd['docsignature'].replace('_', '\\_')
+    rd['latexdocsignature'] = rd['latexdocsignature'].replace(',', ', ')
+    rd['docstrsigns'] = []
+    rd['latexdocstrsigns'] = []
+    for k in ['docstrreq', 'docstropt', 'docstrout', 'docstrcbs']:
+        if k in rd and isinstance(rd[k], list):
+            rd['docstrsigns'] = rd['docstrsigns'] + rd[k]
+        k = 'latex' + k
+        if k in rd and isinstance(rd[k], list):
+            rd['latexdocstrsigns'] = rd['latexdocstrsigns'] + rd[k][0:1] +\
+                ['\\begin{description}'] + rd[k][1:] +\
+                ['\\end{description}']
+    if 'args' not in rd:
+        rd['args'] = ''
+        rd['args_td'] = ''
+        rd['args_nm'] = ''
+    if not (rd.get('args') or rd.get('optargs') or rd.get('strarglens')):
+        rd['noargs'] = 'void'
+
+    ar = applyrules(cb_routine_rules, rd)
+    cfuncs.callbacks[rd['name']] = ar['body']
+    if isinstance(ar['need'], str):
+        ar['need'] = [ar['need']]
+
+    if 'need' in rd:
+        for t in cfuncs.typedefs.keys():
+            if t in rd['need']:
+                ar['need'].append(t)
+
+    cfuncs.typedefs_generated[rd['name'] + '_typedef'] = ar['cbtypedefs']
+    ar['need'].append(rd['name'] + '_typedef')
+    cfuncs.needs[rd['name']] = ar['need']
+
+    capi_maps.lcb2_map[rd['name']] = {'maxnofargs': ar['maxnofargs'],
+                                      'nofoptargs': ar['nofoptargs'],
+                                      'docstr': ar['docstr'],
+                                      'latexdocstr': ar['latexdocstr'],
+                                      'argname': rd['argname']
+                                      }
+    outmess('      %s\n' % (ar['docstrshort']))
+    return
+################## Build call-back function #############
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/cfuncs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/cfuncs.py
new file mode 100644
index 0000000000000000000000000000000000000000..6856416fd04ab2c87cbec959020e8ddc1713564b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/cfuncs.py
@@ -0,0 +1,1552 @@
+"""
+C declarations, CPP macros, and C functions for f2py2e.
+Only required declarations/macros/functions will be used.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+import sys
+import copy
+
+from . import __version__
+
+f2py_version = __version__.version
+
+
+def errmess(s: str) -> None:
+    """
+    Write an error message to stderr.
+
+    This indirection is needed because sys.stderr might not always be available (see #26862).
+    """
+    if sys.stderr is not None:
+        sys.stderr.write(s)
+
+##################### Definitions ##################
+
+outneeds = {'includes0': [], 'includes': [], 'typedefs': [], 'typedefs_generated': [],
+            'userincludes': [],
+            'cppmacros': [], 'cfuncs': [], 'callbacks': [], 'f90modhooks': [],
+            'commonhooks': []}
+needs = {}
+includes0 = {'includes0': '/*need_includes0*/'}
+includes = {'includes': '/*need_includes*/'}
+userincludes = {'userincludes': '/*need_userincludes*/'}
+typedefs = {'typedefs': '/*need_typedefs*/'}
+typedefs_generated = {'typedefs_generated': '/*need_typedefs_generated*/'}
+cppmacros = {'cppmacros': '/*need_cppmacros*/'}
+cfuncs = {'cfuncs': '/*need_cfuncs*/'}
+callbacks = {'callbacks': '/*need_callbacks*/'}
+f90modhooks = {'f90modhooks': '/*need_f90modhooks*/',
+               'initf90modhooksstatic': '/*initf90modhooksstatic*/',
+               'initf90modhooksdynamic': '/*initf90modhooksdynamic*/',
+               }
+commonhooks = {'commonhooks': '/*need_commonhooks*/',
+               'initcommonhooks': '/*need_initcommonhooks*/',
+               }
+
+############ Includes ###################
+
+includes0['math.h'] = '#include '
+includes0['string.h'] = '#include '
+includes0['setjmp.h'] = '#include '
+
+includes['arrayobject.h'] = '''#define PY_ARRAY_UNIQUE_SYMBOL PyArray_API
+#include "arrayobject.h"'''
+includes['npy_math.h'] = '#include "numpy/npy_math.h"'
+
+includes['arrayobject.h'] = '#include "fortranobject.h"'
+includes['stdarg.h'] = '#include '
+
+############# Type definitions ###############
+
+typedefs['unsigned_char'] = 'typedef unsigned char unsigned_char;'
+typedefs['unsigned_short'] = 'typedef unsigned short unsigned_short;'
+typedefs['unsigned_long'] = 'typedef unsigned long unsigned_long;'
+typedefs['signed_char'] = 'typedef signed char signed_char;'
+typedefs['long_long'] = """
+#if defined(NPY_OS_WIN32)
+typedef __int64 long_long;
+#else
+typedef long long long_long;
+typedef unsigned long long unsigned_long_long;
+#endif
+"""
+typedefs['unsigned_long_long'] = """
+#if defined(NPY_OS_WIN32)
+typedef __uint64 long_long;
+#else
+typedef unsigned long long unsigned_long_long;
+#endif
+"""
+typedefs['long_double'] = """
+#ifndef _LONG_DOUBLE
+typedef long double long_double;
+#endif
+"""
+typedefs[
+    'complex_long_double'] = 'typedef struct {long double r,i;} complex_long_double;'
+typedefs['complex_float'] = 'typedef struct {float r,i;} complex_float;'
+typedefs['complex_double'] = 'typedef struct {double r,i;} complex_double;'
+typedefs['string'] = """typedef char * string;"""
+typedefs['character'] = """typedef char character;"""
+
+
+############### CPP macros ####################
+cppmacros['CFUNCSMESS'] = """
+#ifdef DEBUGCFUNCS
+#define CFUNCSMESS(mess) fprintf(stderr,\"debug-capi:\"mess);
+#define CFUNCSMESSPY(mess,obj) CFUNCSMESS(mess) \\
+    PyObject_Print((PyObject *)obj,stderr,Py_PRINT_RAW);\\
+    fprintf(stderr,\"\\n\");
+#else
+#define CFUNCSMESS(mess)
+#define CFUNCSMESSPY(mess,obj)
+#endif
+"""
+cppmacros['F_FUNC'] = """
+#if defined(PREPEND_FORTRAN)
+#if defined(NO_APPEND_FORTRAN)
+#if defined(UPPERCASE_FORTRAN)
+#define F_FUNC(f,F) _##F
+#else
+#define F_FUNC(f,F) _##f
+#endif
+#else
+#if defined(UPPERCASE_FORTRAN)
+#define F_FUNC(f,F) _##F##_
+#else
+#define F_FUNC(f,F) _##f##_
+#endif
+#endif
+#else
+#if defined(NO_APPEND_FORTRAN)
+#if defined(UPPERCASE_FORTRAN)
+#define F_FUNC(f,F) F
+#else
+#define F_FUNC(f,F) f
+#endif
+#else
+#if defined(UPPERCASE_FORTRAN)
+#define F_FUNC(f,F) F##_
+#else
+#define F_FUNC(f,F) f##_
+#endif
+#endif
+#endif
+#if defined(UNDERSCORE_G77)
+#define F_FUNC_US(f,F) F_FUNC(f##_,F##_)
+#else
+#define F_FUNC_US(f,F) F_FUNC(f,F)
+#endif
+"""
+cppmacros['F_WRAPPEDFUNC'] = """
+#if defined(PREPEND_FORTRAN)
+#if defined(NO_APPEND_FORTRAN)
+#if defined(UPPERCASE_FORTRAN)
+#define F_WRAPPEDFUNC(f,F) _F2PYWRAP##F
+#else
+#define F_WRAPPEDFUNC(f,F) _f2pywrap##f
+#endif
+#else
+#if defined(UPPERCASE_FORTRAN)
+#define F_WRAPPEDFUNC(f,F) _F2PYWRAP##F##_
+#else
+#define F_WRAPPEDFUNC(f,F) _f2pywrap##f##_
+#endif
+#endif
+#else
+#if defined(NO_APPEND_FORTRAN)
+#if defined(UPPERCASE_FORTRAN)
+#define F_WRAPPEDFUNC(f,F) F2PYWRAP##F
+#else
+#define F_WRAPPEDFUNC(f,F) f2pywrap##f
+#endif
+#else
+#if defined(UPPERCASE_FORTRAN)
+#define F_WRAPPEDFUNC(f,F) F2PYWRAP##F##_
+#else
+#define F_WRAPPEDFUNC(f,F) f2pywrap##f##_
+#endif
+#endif
+#endif
+#if defined(UNDERSCORE_G77)
+#define F_WRAPPEDFUNC_US(f,F) F_WRAPPEDFUNC(f##_,F##_)
+#else
+#define F_WRAPPEDFUNC_US(f,F) F_WRAPPEDFUNC(f,F)
+#endif
+"""
+cppmacros['F_MODFUNC'] = """
+#if defined(F90MOD2CCONV1) /*E.g. Compaq Fortran */
+#if defined(NO_APPEND_FORTRAN)
+#define F_MODFUNCNAME(m,f) $ ## m ## $ ## f
+#else
+#define F_MODFUNCNAME(m,f) $ ## m ## $ ## f ## _
+#endif
+#endif
+
+#if defined(F90MOD2CCONV2) /*E.g. IBM XL Fortran, not tested though */
+#if defined(NO_APPEND_FORTRAN)
+#define F_MODFUNCNAME(m,f)  __ ## m ## _MOD_ ## f
+#else
+#define F_MODFUNCNAME(m,f)  __ ## m ## _MOD_ ## f ## _
+#endif
+#endif
+
+#if defined(F90MOD2CCONV3) /*E.g. MIPSPro Compilers */
+#if defined(NO_APPEND_FORTRAN)
+#define F_MODFUNCNAME(m,f)  f ## .in. ## m
+#else
+#define F_MODFUNCNAME(m,f)  f ## .in. ## m ## _
+#endif
+#endif
+/*
+#if defined(UPPERCASE_FORTRAN)
+#define F_MODFUNC(m,M,f,F) F_MODFUNCNAME(M,F)
+#else
+#define F_MODFUNC(m,M,f,F) F_MODFUNCNAME(m,f)
+#endif
+*/
+
+#define F_MODFUNC(m,f) (*(f2pymodstruct##m##.##f))
+"""
+cppmacros['SWAPUNSAFE'] = """
+#define SWAP(a,b) (size_t)(a) = ((size_t)(a) ^ (size_t)(b));\\
+ (size_t)(b) = ((size_t)(a) ^ (size_t)(b));\\
+ (size_t)(a) = ((size_t)(a) ^ (size_t)(b))
+"""
+cppmacros['SWAP'] = """
+#define SWAP(a,b,t) {\\
+    t *c;\\
+    c = a;\\
+    a = b;\\
+    b = c;}
+"""
+# cppmacros['ISCONTIGUOUS']='#define ISCONTIGUOUS(m) (PyArray_FLAGS(m) &
+# NPY_ARRAY_C_CONTIGUOUS)'
+cppmacros['PRINTPYOBJERR'] = """
+#define PRINTPYOBJERR(obj)\\
+    fprintf(stderr,\"#modulename#.error is related to \");\\
+    PyObject_Print((PyObject *)obj,stderr,Py_PRINT_RAW);\\
+    fprintf(stderr,\"\\n\");
+"""
+cppmacros['MINMAX'] = """
+#ifndef max
+#define max(a,b) ((a > b) ? (a) : (b))
+#endif
+#ifndef min
+#define min(a,b) ((a < b) ? (a) : (b))
+#endif
+#ifndef MAX
+#define MAX(a,b) ((a > b) ? (a) : (b))
+#endif
+#ifndef MIN
+#define MIN(a,b) ((a < b) ? (a) : (b))
+#endif
+"""
+cppmacros['len..'] = """
+/* See fortranobject.h for definitions. The macros here are provided for BC. */
+#define rank f2py_rank
+#define shape f2py_shape
+#define fshape f2py_shape
+#define len f2py_len
+#define flen f2py_flen
+#define slen f2py_slen
+#define size f2py_size
+"""
+cppmacros['pyobj_from_char1'] = r"""
+#define pyobj_from_char1(v) (PyLong_FromLong(v))
+"""
+cppmacros['pyobj_from_short1'] = r"""
+#define pyobj_from_short1(v) (PyLong_FromLong(v))
+"""
+needs['pyobj_from_int1'] = ['signed_char']
+cppmacros['pyobj_from_int1'] = r"""
+#define pyobj_from_int1(v) (PyLong_FromLong(v))
+"""
+cppmacros['pyobj_from_long1'] = r"""
+#define pyobj_from_long1(v) (PyLong_FromLong(v))
+"""
+needs['pyobj_from_long_long1'] = ['long_long']
+cppmacros['pyobj_from_long_long1'] = """
+#ifdef HAVE_LONG_LONG
+#define pyobj_from_long_long1(v) (PyLong_FromLongLong(v))
+#else
+#warning HAVE_LONG_LONG is not available. Redefining pyobj_from_long_long.
+#define pyobj_from_long_long1(v) (PyLong_FromLong(v))
+#endif
+"""
+needs['pyobj_from_long_double1'] = ['long_double']
+cppmacros['pyobj_from_long_double1'] = """
+#define pyobj_from_long_double1(v) (PyFloat_FromDouble(v))"""
+cppmacros['pyobj_from_double1'] = """
+#define pyobj_from_double1(v) (PyFloat_FromDouble(v))"""
+cppmacros['pyobj_from_float1'] = """
+#define pyobj_from_float1(v) (PyFloat_FromDouble(v))"""
+needs['pyobj_from_complex_long_double1'] = ['complex_long_double']
+cppmacros['pyobj_from_complex_long_double1'] = """
+#define pyobj_from_complex_long_double1(v) (PyComplex_FromDoubles(v.r,v.i))"""
+needs['pyobj_from_complex_double1'] = ['complex_double']
+cppmacros['pyobj_from_complex_double1'] = """
+#define pyobj_from_complex_double1(v) (PyComplex_FromDoubles(v.r,v.i))"""
+needs['pyobj_from_complex_float1'] = ['complex_float']
+cppmacros['pyobj_from_complex_float1'] = """
+#define pyobj_from_complex_float1(v) (PyComplex_FromDoubles(v.r,v.i))"""
+needs['pyobj_from_string1'] = ['string']
+cppmacros['pyobj_from_string1'] = """
+#define pyobj_from_string1(v) (PyUnicode_FromString((char *)v))"""
+needs['pyobj_from_string1size'] = ['string']
+cppmacros['pyobj_from_string1size'] = """
+#define pyobj_from_string1size(v,len) (PyUnicode_FromStringAndSize((char *)v, len))"""
+needs['TRYPYARRAYTEMPLATE'] = ['PRINTPYOBJERR']
+cppmacros['TRYPYARRAYTEMPLATE'] = """
+/* New SciPy */
+#define TRYPYARRAYTEMPLATECHAR case NPY_STRING: *(char *)(PyArray_DATA(arr))=*v; break;
+#define TRYPYARRAYTEMPLATELONG case NPY_LONG: *(long *)(PyArray_DATA(arr))=*v; break;
+#define TRYPYARRAYTEMPLATEOBJECT case NPY_OBJECT: PyArray_SETITEM(arr,PyArray_DATA(arr),pyobj_from_ ## ctype ## 1(*v)); break;
+
+#define TRYPYARRAYTEMPLATE(ctype,typecode) \\
+        PyArrayObject *arr = NULL;\\
+        if (!obj) return -2;\\
+        if (!PyArray_Check(obj)) return -1;\\
+        if (!(arr=(PyArrayObject *)obj)) {fprintf(stderr,\"TRYPYARRAYTEMPLATE:\");PRINTPYOBJERR(obj);return 0;}\\
+        if (PyArray_DESCR(arr)->type==typecode)  {*(ctype *)(PyArray_DATA(arr))=*v; return 1;}\\
+        switch (PyArray_TYPE(arr)) {\\
+                case NPY_DOUBLE: *(npy_double *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_INT: *(npy_int *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_LONG: *(npy_long *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_FLOAT: *(npy_float *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_CDOUBLE: *(npy_double *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_CFLOAT: *(npy_float *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_BOOL: *(npy_bool *)(PyArray_DATA(arr))=(*v!=0); break;\\
+                case NPY_UBYTE: *(npy_ubyte *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_BYTE: *(npy_byte *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_SHORT: *(npy_short *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_USHORT: *(npy_ushort *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_UINT: *(npy_uint *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_ULONG: *(npy_ulong *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_LONGLONG: *(npy_longlong *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_ULONGLONG: *(npy_ulonglong *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_LONGDOUBLE: *(npy_longdouble *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_CLONGDOUBLE: *(npy_longdouble *)(PyArray_DATA(arr))=*v; break;\\
+                case NPY_OBJECT: PyArray_SETITEM(arr, PyArray_DATA(arr), pyobj_from_ ## ctype ## 1(*v)); break;\\
+        default: return -2;\\
+        };\\
+        return 1
+"""
+
+needs['TRYCOMPLEXPYARRAYTEMPLATE'] = ['PRINTPYOBJERR']
+cppmacros['TRYCOMPLEXPYARRAYTEMPLATE'] = """
+#define TRYCOMPLEXPYARRAYTEMPLATEOBJECT case NPY_OBJECT: PyArray_SETITEM(arr, PyArray_DATA(arr), pyobj_from_complex_ ## ctype ## 1((*v))); break;
+#define TRYCOMPLEXPYARRAYTEMPLATE(ctype,typecode)\\
+        PyArrayObject *arr = NULL;\\
+        if (!obj) return -2;\\
+        if (!PyArray_Check(obj)) return -1;\\
+        if (!(arr=(PyArrayObject *)obj)) {fprintf(stderr,\"TRYCOMPLEXPYARRAYTEMPLATE:\");PRINTPYOBJERR(obj);return 0;}\\
+        if (PyArray_DESCR(arr)->type==typecode) {\\
+            *(ctype *)(PyArray_DATA(arr))=(*v).r;\\
+            *(ctype *)(PyArray_DATA(arr)+sizeof(ctype))=(*v).i;\\
+            return 1;\\
+        }\\
+        switch (PyArray_TYPE(arr)) {\\
+                case NPY_CDOUBLE: *(npy_double *)(PyArray_DATA(arr))=(*v).r;\\
+                                  *(npy_double *)(PyArray_DATA(arr)+sizeof(npy_double))=(*v).i;\\
+                                  break;\\
+                case NPY_CFLOAT: *(npy_float *)(PyArray_DATA(arr))=(*v).r;\\
+                                 *(npy_float *)(PyArray_DATA(arr)+sizeof(npy_float))=(*v).i;\\
+                                 break;\\
+                case NPY_DOUBLE: *(npy_double *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_LONG: *(npy_long *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_FLOAT: *(npy_float *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_INT: *(npy_int *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_SHORT: *(npy_short *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_UBYTE: *(npy_ubyte *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_BYTE: *(npy_byte *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_BOOL: *(npy_bool *)(PyArray_DATA(arr))=((*v).r!=0 && (*v).i!=0); break;\\
+                case NPY_USHORT: *(npy_ushort *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_UINT: *(npy_uint *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_ULONG: *(npy_ulong *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_LONGLONG: *(npy_longlong *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_ULONGLONG: *(npy_ulonglong *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_LONGDOUBLE: *(npy_longdouble *)(PyArray_DATA(arr))=(*v).r; break;\\
+                case NPY_CLONGDOUBLE: *(npy_longdouble *)(PyArray_DATA(arr))=(*v).r;\\
+                                      *(npy_longdouble *)(PyArray_DATA(arr)+sizeof(npy_longdouble))=(*v).i;\\
+                                      break;\\
+                case NPY_OBJECT: PyArray_SETITEM(arr, PyArray_DATA(arr), pyobj_from_complex_ ## ctype ## 1((*v))); break;\\
+                default: return -2;\\
+        };\\
+        return -1;
+"""
+# cppmacros['NUMFROMARROBJ']="""
+# define NUMFROMARROBJ(typenum,ctype) \\
+#     if (PyArray_Check(obj)) arr = (PyArrayObject *)obj;\\
+#     else arr = (PyArrayObject *)PyArray_ContiguousFromObject(obj,typenum,0,0);\\
+#     if (arr) {\\
+#         if (PyArray_TYPE(arr)==NPY_OBJECT) {\\
+#             if (!ctype ## _from_pyobj(v,(PyArray_DESCR(arr)->getitem)(PyArray_DATA(arr)),\"\"))\\
+#             goto capi_fail;\\
+#         } else {\\
+#             (PyArray_DESCR(arr)->cast[typenum])(PyArray_DATA(arr),1,(char*)v,1,1);\\
+#         }\\
+#         if ((PyObject *)arr != obj) { Py_DECREF(arr); }\\
+#         return 1;\\
+#     }
+# """
+# XXX: Note that CNUMFROMARROBJ is identical with NUMFROMARROBJ
+# cppmacros['CNUMFROMARROBJ']="""
+# define CNUMFROMARROBJ(typenum,ctype) \\
+#     if (PyArray_Check(obj)) arr = (PyArrayObject *)obj;\\
+#     else arr = (PyArrayObject *)PyArray_ContiguousFromObject(obj,typenum,0,0);\\
+#     if (arr) {\\
+#         if (PyArray_TYPE(arr)==NPY_OBJECT) {\\
+#             if (!ctype ## _from_pyobj(v,(PyArray_DESCR(arr)->getitem)(PyArray_DATA(arr)),\"\"))\\
+#             goto capi_fail;\\
+#         } else {\\
+#             (PyArray_DESCR(arr)->cast[typenum])((void *)(PyArray_DATA(arr)),1,(void *)(v),1,1);\\
+#         }\\
+#         if ((PyObject *)arr != obj) { Py_DECREF(arr); }\\
+#         return 1;\\
+#     }
+# """
+
+
+needs['GETSTRFROMPYTUPLE'] = ['STRINGCOPYN', 'PRINTPYOBJERR']
+cppmacros['GETSTRFROMPYTUPLE'] = """
+#define GETSTRFROMPYTUPLE(tuple,index,str,len) {\\
+        PyObject *rv_cb_str = PyTuple_GetItem((tuple),(index));\\
+        if (rv_cb_str == NULL)\\
+            goto capi_fail;\\
+        if (PyBytes_Check(rv_cb_str)) {\\
+            str[len-1]='\\0';\\
+            STRINGCOPYN((str),PyBytes_AS_STRING((PyBytesObject*)rv_cb_str),(len));\\
+        } else {\\
+            PRINTPYOBJERR(rv_cb_str);\\
+            PyErr_SetString(#modulename#_error,\"string object expected\");\\
+            goto capi_fail;\\
+        }\\
+    }
+"""
+cppmacros['GETSCALARFROMPYTUPLE'] = """
+#define GETSCALARFROMPYTUPLE(tuple,index,var,ctype,mess) {\\
+        if ((capi_tmp = PyTuple_GetItem((tuple),(index)))==NULL) goto capi_fail;\\
+        if (!(ctype ## _from_pyobj((var),capi_tmp,mess)))\\
+            goto capi_fail;\\
+    }
+"""
+
+cppmacros['FAILNULL'] = """\
+#define FAILNULL(p) do {                                            \\
+    if ((p) == NULL) {                                              \\
+        PyErr_SetString(PyExc_MemoryError, "NULL pointer found");   \\
+        goto capi_fail;                                             \\
+    }                                                               \\
+} while (0)
+"""
+needs['MEMCOPY'] = ['string.h', 'FAILNULL']
+cppmacros['MEMCOPY'] = """
+#define MEMCOPY(to,from,n)\\
+    do { FAILNULL(to); FAILNULL(from); (void)memcpy(to,from,n); } while (0)
+"""
+cppmacros['STRINGMALLOC'] = """
+#define STRINGMALLOC(str,len)\\
+    if ((str = (string)malloc(len+1)) == NULL) {\\
+        PyErr_SetString(PyExc_MemoryError, \"out of memory\");\\
+        goto capi_fail;\\
+    } else {\\
+        (str)[len] = '\\0';\\
+    }
+"""
+cppmacros['STRINGFREE'] = """
+#define STRINGFREE(str) do {if (!(str == NULL)) free(str);} while (0)
+"""
+needs['STRINGPADN'] = ['string.h']
+cppmacros['STRINGPADN'] = """
+/*
+STRINGPADN replaces null values with padding values from the right.
+
+`to` must have size of at least N bytes.
+
+If the `to[N-1]` has null value, then replace it and all the
+preceding, nulls with the given padding.
+
+STRINGPADN(to, N, PADDING, NULLVALUE) is an inverse operation.
+*/
+#define STRINGPADN(to, N, NULLVALUE, PADDING)                   \\
+    do {                                                        \\
+        int _m = (N);                                           \\
+        char *_to = (to);                                       \\
+        for (_m -= 1; _m >= 0 && _to[_m] == NULLVALUE; _m--) {  \\
+             _to[_m] = PADDING;                                 \\
+        }                                                       \\
+    } while (0)
+"""
+needs['STRINGCOPYN'] = ['string.h', 'FAILNULL']
+cppmacros['STRINGCOPYN'] = """
+/*
+STRINGCOPYN copies N bytes.
+
+`to` and `from` buffers must have sizes of at least N bytes.
+*/
+#define STRINGCOPYN(to,from,N)                                  \\
+    do {                                                        \\
+        int _m = (N);                                           \\
+        char *_to = (to);                                       \\
+        char *_from = (from);                                   \\
+        FAILNULL(_to); FAILNULL(_from);                         \\
+        (void)strncpy(_to, _from, _m);             \\
+    } while (0)
+"""
+needs['STRINGCOPY'] = ['string.h', 'FAILNULL']
+cppmacros['STRINGCOPY'] = """
+#define STRINGCOPY(to,from)\\
+    do { FAILNULL(to); FAILNULL(from); (void)strcpy(to,from); } while (0)
+"""
+cppmacros['CHECKGENERIC'] = """
+#define CHECKGENERIC(check,tcheck,name) \\
+    if (!(check)) {\\
+        PyErr_SetString(#modulename#_error,\"(\"tcheck\") failed for \"name);\\
+        /*goto capi_fail;*/\\
+    } else """
+cppmacros['CHECKARRAY'] = """
+#define CHECKARRAY(check,tcheck,name) \\
+    if (!(check)) {\\
+        PyErr_SetString(#modulename#_error,\"(\"tcheck\") failed for \"name);\\
+        /*goto capi_fail;*/\\
+    } else """
+cppmacros['CHECKSTRING'] = """
+#define CHECKSTRING(check,tcheck,name,show,var)\\
+    if (!(check)) {\\
+        char errstring[256];\\
+        sprintf(errstring, \"%s: \"show, \"(\"tcheck\") failed for \"name, slen(var), var);\\
+        PyErr_SetString(#modulename#_error, errstring);\\
+        /*goto capi_fail;*/\\
+    } else """
+cppmacros['CHECKSCALAR'] = """
+#define CHECKSCALAR(check,tcheck,name,show,var)\\
+    if (!(check)) {\\
+        char errstring[256];\\
+        sprintf(errstring, \"%s: \"show, \"(\"tcheck\") failed for \"name, var);\\
+        PyErr_SetString(#modulename#_error,errstring);\\
+        /*goto capi_fail;*/\\
+    } else """
+# cppmacros['CHECKDIMS']="""
+# define CHECKDIMS(dims,rank) \\
+#     for (int i=0;i<(rank);i++)\\
+#         if (dims[i]<0) {\\
+#             fprintf(stderr,\"Unspecified array argument requires a complete dimension specification.\\n\");\\
+#             goto capi_fail;\\
+#         }
+# """
+cppmacros[
+    'ARRSIZE'] = '#define ARRSIZE(dims,rank) (_PyArray_multiply_list(dims,rank))'
+cppmacros['OLDPYNUM'] = """
+#ifdef OLDPYNUM
+#error You need to install NumPy version 0.13 or higher. See https://scipy.org/install.html
+#endif
+"""
+
+# Defining the correct value to indicate thread-local storage in C without
+# running a compile-time check (which we have no control over in generated
+# code used outside of NumPy) is hard. Therefore we support overriding this
+# via an external define - the f2py-using package can then use the same
+# compile-time checks as we use for `NPY_TLS` when building NumPy (see
+# scipy#21860 for an example of that).
+#
+# __STDC_NO_THREADS__ should not be coupled to the availability of _Thread_local.
+# In case we get a bug report, guard it with __STDC_NO_THREADS__ after all.
+#
+# `thread_local` has become a keyword in C23, but don't try to use that yet
+# (too new, doing so while C23 support is preliminary will likely cause more
+#  problems than it solves).
+#
+# Note: do not try to use `threads.h`, its availability is very low
+# *and* threads.h isn't actually used where `F2PY_THREAD_LOCAL_DECL` is
+# in the generated code. See gh-27718 for more details.
+cppmacros["F2PY_THREAD_LOCAL_DECL"] = """
+#ifndef F2PY_THREAD_LOCAL_DECL
+#if defined(_MSC_VER)
+#define F2PY_THREAD_LOCAL_DECL __declspec(thread)
+#elif defined(NPY_OS_MINGW)
+#define F2PY_THREAD_LOCAL_DECL __thread
+#elif defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 201112L)
+#define F2PY_THREAD_LOCAL_DECL _Thread_local
+#elif defined(__GNUC__) \\
+      && (__GNUC__ > 4 || (__GNUC__ == 4 && (__GNUC_MINOR__ >= 4)))
+#define F2PY_THREAD_LOCAL_DECL __thread
+#endif
+#endif
+"""
+################# C functions ###############
+
+cfuncs['calcarrindex'] = """
+static int calcarrindex(int *i,PyArrayObject *arr) {
+    int k,ii = i[0];
+    for (k=1; k < PyArray_NDIM(arr); k++)
+        ii += (ii*(PyArray_DIM(arr,k) - 1)+i[k]); /* assuming contiguous arr */
+    return ii;
+}"""
+cfuncs['calcarrindextr'] = """
+static int calcarrindextr(int *i,PyArrayObject *arr) {
+    int k,ii = i[PyArray_NDIM(arr)-1];
+    for (k=1; k < PyArray_NDIM(arr); k++)
+        ii += (ii*(PyArray_DIM(arr,PyArray_NDIM(arr)-k-1) - 1)+i[PyArray_NDIM(arr)-k-1]); /* assuming contiguous arr */
+    return ii;
+}"""
+cfuncs['forcomb'] = """
+static struct { int nd;npy_intp *d;int *i,*i_tr,tr; } forcombcache;
+static int initforcomb(npy_intp *dims,int nd,int tr) {
+  int k;
+  if (dims==NULL) return 0;
+  if (nd<0) return 0;
+  forcombcache.nd = nd;
+  forcombcache.d = dims;
+  forcombcache.tr = tr;
+  if ((forcombcache.i = (int *)malloc(sizeof(int)*nd))==NULL) return 0;
+  if ((forcombcache.i_tr = (int *)malloc(sizeof(int)*nd))==NULL) return 0;
+  for (k=1;k PyArray_NBYTES(arr)) {
+            n = PyArray_NBYTES(arr);
+        }
+        STRINGCOPYN(buf, str, n);
+        return 1;
+    }
+capi_fail:
+    PRINTPYOBJERR(obj);
+    PyErr_SetString(#modulename#_error, \"try_pyarr_from_string failed\");
+    return 0;
+}
+"""
+needs['string_from_pyobj'] = ['string', 'STRINGMALLOC', 'STRINGCOPYN']
+cfuncs['string_from_pyobj'] = """
+/*
+  Create a new string buffer `str` of at most length `len` from a
+  Python string-like object `obj`.
+
+  The string buffer has given size (len) or the size of inistr when len==-1.
+
+  The string buffer is padded with blanks: in Fortran, trailing blanks
+  are insignificant contrary to C nulls.
+ */
+static int
+string_from_pyobj(string *str, int *len, const string inistr, PyObject *obj,
+                  const char *errmess)
+{
+    PyObject *tmp = NULL;
+    string buf = NULL;
+    npy_intp n = -1;
+#ifdef DEBUGCFUNCS
+fprintf(stderr,\"string_from_pyobj(str='%s',len=%d,inistr='%s',obj=%p)\\n\",
+               (char*)str, *len, (char *)inistr, obj);
+#endif
+    if (obj == Py_None) {
+        n = strlen(inistr);
+        buf = inistr;
+    }
+    else if (PyArray_Check(obj)) {
+        PyArrayObject *arr = (PyArrayObject *)obj;
+        if (!ISCONTIGUOUS(arr)) {
+            PyErr_SetString(PyExc_ValueError,
+                            \"array object is non-contiguous.\");
+            goto capi_fail;
+        }
+        n = PyArray_NBYTES(arr);
+        buf = PyArray_DATA(arr);
+        n = strnlen(buf, n);
+    }
+    else {
+        if (PyBytes_Check(obj)) {
+            tmp = obj;
+            Py_INCREF(tmp);
+        }
+        else if (PyUnicode_Check(obj)) {
+            tmp = PyUnicode_AsASCIIString(obj);
+        }
+        else {
+            PyObject *tmp2;
+            tmp2 = PyObject_Str(obj);
+            if (tmp2) {
+                tmp = PyUnicode_AsASCIIString(tmp2);
+                Py_DECREF(tmp2);
+            }
+            else {
+                tmp = NULL;
+            }
+        }
+        if (tmp == NULL) goto capi_fail;
+        n = PyBytes_GET_SIZE(tmp);
+        buf = PyBytes_AS_STRING(tmp);
+    }
+    if (*len == -1) {
+        /* TODO: change the type of `len` so that we can remove this */
+        if (n > NPY_MAX_INT) {
+            PyErr_SetString(PyExc_OverflowError,
+                            "object too large for a 32-bit int");
+            goto capi_fail;
+        }
+        *len = n;
+    }
+    else if (*len < n) {
+        /* discard the last (len-n) bytes of input buf */
+        n = *len;
+    }
+    if (n < 0 || *len < 0 || buf == NULL) {
+        goto capi_fail;
+    }
+    STRINGMALLOC(*str, *len);  // *str is allocated with size (*len + 1)
+    if (n < *len) {
+        /*
+          Pad fixed-width string with nulls. The caller will replace
+          nulls with blanks when the corresponding argument is not
+          intent(c).
+        */
+        memset(*str + n, '\\0', *len - n);
+    }
+    STRINGCOPYN(*str, buf, n);
+    Py_XDECREF(tmp);
+    return 1;
+capi_fail:
+    Py_XDECREF(tmp);
+    {
+        PyObject* err = PyErr_Occurred();
+        if (err == NULL) {
+            err = #modulename#_error;
+        }
+        PyErr_SetString(err, errmess);
+    }
+    return 0;
+}
+"""
+
+cfuncs['character_from_pyobj'] = """
+static int
+character_from_pyobj(character* v, PyObject *obj, const char *errmess) {
+    if (PyBytes_Check(obj)) {
+        /* empty bytes has trailing null, so dereferencing is always safe */
+        *v = PyBytes_AS_STRING(obj)[0];
+        return 1;
+    } else if (PyUnicode_Check(obj)) {
+        PyObject* tmp = PyUnicode_AsASCIIString(obj);
+        if (tmp != NULL) {
+            *v = PyBytes_AS_STRING(tmp)[0];
+            Py_DECREF(tmp);
+            return 1;
+        }
+    } else if (PyArray_Check(obj)) {
+        PyArrayObject* arr = (PyArrayObject*)obj;
+        if (F2PY_ARRAY_IS_CHARACTER_COMPATIBLE(arr)) {
+            *v = PyArray_BYTES(arr)[0];
+            return 1;
+        } else if (F2PY_IS_UNICODE_ARRAY(arr)) {
+            // TODO: update when numpy will support 1-byte and
+            // 2-byte unicode dtypes
+            PyObject* tmp = PyUnicode_FromKindAndData(
+                              PyUnicode_4BYTE_KIND,
+                              PyArray_BYTES(arr),
+                              (PyArray_NBYTES(arr)>0?1:0));
+            if (tmp != NULL) {
+                if (character_from_pyobj(v, tmp, errmess)) {
+                    Py_DECREF(tmp);
+                    return 1;
+                }
+                Py_DECREF(tmp);
+            }
+        }
+    } else if (PySequence_Check(obj)) {
+        PyObject* tmp = PySequence_GetItem(obj,0);
+        if (tmp != NULL) {
+            if (character_from_pyobj(v, tmp, errmess)) {
+                Py_DECREF(tmp);
+                return 1;
+            }
+            Py_DECREF(tmp);
+        }
+    }
+    {
+        /* TODO: This error (and most other) error handling needs cleaning. */
+        char mess[F2PY_MESSAGE_BUFFER_SIZE];
+        strcpy(mess, errmess);
+        PyObject* err = PyErr_Occurred();
+        if (err == NULL) {
+            err = PyExc_TypeError;
+            Py_INCREF(err);
+        }
+        else {
+            Py_INCREF(err);
+            PyErr_Clear();
+        }
+        sprintf(mess + strlen(mess),
+                " -- expected str|bytes|sequence-of-str-or-bytes, got ");
+        f2py_describe(obj, mess + strlen(mess));
+        PyErr_SetString(err, mess);
+        Py_DECREF(err);
+    }
+    return 0;
+}
+"""
+
+# TODO: These should be dynamically generated, too many mapped to int things,
+# see note in _isocbind.py
+needs['char_from_pyobj'] = ['int_from_pyobj']
+cfuncs['char_from_pyobj'] = """
+static int
+char_from_pyobj(char* v, PyObject *obj, const char *errmess) {
+    int i = 0;
+    if (int_from_pyobj(&i, obj, errmess)) {
+        *v = (char)i;
+        return 1;
+    }
+    return 0;
+}
+"""
+
+
+needs['signed_char_from_pyobj'] = ['int_from_pyobj', 'signed_char']
+cfuncs['signed_char_from_pyobj'] = """
+static int
+signed_char_from_pyobj(signed_char* v, PyObject *obj, const char *errmess) {
+    int i = 0;
+    if (int_from_pyobj(&i, obj, errmess)) {
+        *v = (signed_char)i;
+        return 1;
+    }
+    return 0;
+}
+"""
+
+
+needs['short_from_pyobj'] = ['int_from_pyobj']
+cfuncs['short_from_pyobj'] = """
+static int
+short_from_pyobj(short* v, PyObject *obj, const char *errmess) {
+    int i = 0;
+    if (int_from_pyobj(&i, obj, errmess)) {
+        *v = (short)i;
+        return 1;
+    }
+    return 0;
+}
+"""
+
+
+cfuncs['int_from_pyobj'] = """
+static int
+int_from_pyobj(int* v, PyObject *obj, const char *errmess)
+{
+    PyObject* tmp = NULL;
+
+    if (PyLong_Check(obj)) {
+        *v = Npy__PyLong_AsInt(obj);
+        return !(*v == -1 && PyErr_Occurred());
+    }
+
+    tmp = PyNumber_Long(obj);
+    if (tmp) {
+        *v = Npy__PyLong_AsInt(tmp);
+        Py_DECREF(tmp);
+        return !(*v == -1 && PyErr_Occurred());
+    }
+
+    if (PyComplex_Check(obj)) {
+        PyErr_Clear();
+        tmp = PyObject_GetAttrString(obj,\"real\");
+    }
+    else if (PyBytes_Check(obj) || PyUnicode_Check(obj)) {
+        /*pass*/;
+    }
+    else if (PySequence_Check(obj)) {
+        PyErr_Clear();
+        tmp = PySequence_GetItem(obj, 0);
+    }
+
+    if (tmp) {
+        if (int_from_pyobj(v, tmp, errmess)) {
+            Py_DECREF(tmp);
+            return 1;
+        }
+        Py_DECREF(tmp);
+    }
+
+    {
+        PyObject* err = PyErr_Occurred();
+        if (err == NULL) {
+            err = #modulename#_error;
+        }
+        PyErr_SetString(err, errmess);
+    }
+    return 0;
+}
+"""
+
+
+cfuncs['long_from_pyobj'] = """
+static int
+long_from_pyobj(long* v, PyObject *obj, const char *errmess) {
+    PyObject* tmp = NULL;
+
+    if (PyLong_Check(obj)) {
+        *v = PyLong_AsLong(obj);
+        return !(*v == -1 && PyErr_Occurred());
+    }
+
+    tmp = PyNumber_Long(obj);
+    if (tmp) {
+        *v = PyLong_AsLong(tmp);
+        Py_DECREF(tmp);
+        return !(*v == -1 && PyErr_Occurred());
+    }
+
+    if (PyComplex_Check(obj)) {
+        PyErr_Clear();
+        tmp = PyObject_GetAttrString(obj,\"real\");
+    }
+    else if (PyBytes_Check(obj) || PyUnicode_Check(obj)) {
+        /*pass*/;
+    }
+    else if (PySequence_Check(obj)) {
+        PyErr_Clear();
+        tmp = PySequence_GetItem(obj, 0);
+    }
+
+    if (tmp) {
+        if (long_from_pyobj(v, tmp, errmess)) {
+            Py_DECREF(tmp);
+            return 1;
+        }
+        Py_DECREF(tmp);
+    }
+    {
+        PyObject* err = PyErr_Occurred();
+        if (err == NULL) {
+            err = #modulename#_error;
+        }
+        PyErr_SetString(err, errmess);
+    }
+    return 0;
+}
+"""
+
+
+needs['long_long_from_pyobj'] = ['long_long']
+cfuncs['long_long_from_pyobj'] = """
+static int
+long_long_from_pyobj(long_long* v, PyObject *obj, const char *errmess)
+{
+    PyObject* tmp = NULL;
+
+    if (PyLong_Check(obj)) {
+        *v = PyLong_AsLongLong(obj);
+        return !(*v == -1 && PyErr_Occurred());
+    }
+
+    tmp = PyNumber_Long(obj);
+    if (tmp) {
+        *v = PyLong_AsLongLong(tmp);
+        Py_DECREF(tmp);
+        return !(*v == -1 && PyErr_Occurred());
+    }
+
+    if (PyComplex_Check(obj)) {
+        PyErr_Clear();
+        tmp = PyObject_GetAttrString(obj,\"real\");
+    }
+    else if (PyBytes_Check(obj) || PyUnicode_Check(obj)) {
+        /*pass*/;
+    }
+    else if (PySequence_Check(obj)) {
+        PyErr_Clear();
+        tmp = PySequence_GetItem(obj, 0);
+    }
+
+    if (tmp) {
+        if (long_long_from_pyobj(v, tmp, errmess)) {
+            Py_DECREF(tmp);
+            return 1;
+        }
+        Py_DECREF(tmp);
+    }
+    {
+        PyObject* err = PyErr_Occurred();
+        if (err == NULL) {
+            err = #modulename#_error;
+        }
+        PyErr_SetString(err,errmess);
+    }
+    return 0;
+}
+"""
+
+
+needs['long_double_from_pyobj'] = ['double_from_pyobj', 'long_double']
+cfuncs['long_double_from_pyobj'] = """
+static int
+long_double_from_pyobj(long_double* v, PyObject *obj, const char *errmess)
+{
+    double d=0;
+    if (PyArray_CheckScalar(obj)){
+        if PyArray_IsScalar(obj, LongDouble) {
+            PyArray_ScalarAsCtype(obj, v);
+            return 1;
+        }
+        else if (PyArray_Check(obj) && PyArray_TYPE(obj) == NPY_LONGDOUBLE) {
+            (*v) = *((npy_longdouble *)PyArray_DATA(obj));
+            return 1;
+        }
+    }
+    if (double_from_pyobj(&d, obj, errmess)) {
+        *v = (long_double)d;
+        return 1;
+    }
+    return 0;
+}
+"""
+
+
+cfuncs['double_from_pyobj'] = """
+static int
+double_from_pyobj(double* v, PyObject *obj, const char *errmess)
+{
+    PyObject* tmp = NULL;
+    if (PyFloat_Check(obj)) {
+        *v = PyFloat_AsDouble(obj);
+        return !(*v == -1.0 && PyErr_Occurred());
+    }
+
+    tmp = PyNumber_Float(obj);
+    if (tmp) {
+        *v = PyFloat_AsDouble(tmp);
+        Py_DECREF(tmp);
+        return !(*v == -1.0 && PyErr_Occurred());
+    }
+
+    if (PyComplex_Check(obj)) {
+        PyErr_Clear();
+        tmp = PyObject_GetAttrString(obj,\"real\");
+    }
+    else if (PyBytes_Check(obj) || PyUnicode_Check(obj)) {
+        /*pass*/;
+    }
+    else if (PySequence_Check(obj)) {
+        PyErr_Clear();
+        tmp = PySequence_GetItem(obj, 0);
+    }
+
+    if (tmp) {
+        if (double_from_pyobj(v,tmp,errmess)) {Py_DECREF(tmp); return 1;}
+        Py_DECREF(tmp);
+    }
+    {
+        PyObject* err = PyErr_Occurred();
+        if (err==NULL) err = #modulename#_error;
+        PyErr_SetString(err,errmess);
+    }
+    return 0;
+}
+"""
+
+
+needs['float_from_pyobj'] = ['double_from_pyobj']
+cfuncs['float_from_pyobj'] = """
+static int
+float_from_pyobj(float* v, PyObject *obj, const char *errmess)
+{
+    double d=0.0;
+    if (double_from_pyobj(&d,obj,errmess)) {
+        *v = (float)d;
+        return 1;
+    }
+    return 0;
+}
+"""
+
+
+needs['complex_long_double_from_pyobj'] = ['complex_long_double', 'long_double',
+                                           'complex_double_from_pyobj', 'npy_math.h']
+cfuncs['complex_long_double_from_pyobj'] = """
+static int
+complex_long_double_from_pyobj(complex_long_double* v, PyObject *obj, const char *errmess)
+{
+    complex_double cd = {0.0,0.0};
+    if (PyArray_CheckScalar(obj)){
+        if PyArray_IsScalar(obj, CLongDouble) {
+            PyArray_ScalarAsCtype(obj, v);
+            return 1;
+        }
+        else if (PyArray_Check(obj) && PyArray_TYPE(obj)==NPY_CLONGDOUBLE) {
+            (*v).r = npy_creall(*(((npy_clongdouble *)PyArray_DATA(obj))));
+            (*v).i = npy_cimagl(*(((npy_clongdouble *)PyArray_DATA(obj))));
+            return 1;
+        }
+    }
+    if (complex_double_from_pyobj(&cd,obj,errmess)) {
+        (*v).r = (long_double)cd.r;
+        (*v).i = (long_double)cd.i;
+        return 1;
+    }
+    return 0;
+}
+"""
+
+
+needs['complex_double_from_pyobj'] = ['complex_double', 'npy_math.h']
+cfuncs['complex_double_from_pyobj'] = """
+static int
+complex_double_from_pyobj(complex_double* v, PyObject *obj, const char *errmess) {
+    Py_complex c;
+    if (PyComplex_Check(obj)) {
+        c = PyComplex_AsCComplex(obj);
+        (*v).r = c.real;
+        (*v).i = c.imag;
+        return 1;
+    }
+    if (PyArray_IsScalar(obj, ComplexFloating)) {
+        if (PyArray_IsScalar(obj, CFloat)) {
+            npy_cfloat new;
+            PyArray_ScalarAsCtype(obj, &new);
+            (*v).r = (double)npy_crealf(new);
+            (*v).i = (double)npy_cimagf(new);
+        }
+        else if (PyArray_IsScalar(obj, CLongDouble)) {
+            npy_clongdouble new;
+            PyArray_ScalarAsCtype(obj, &new);
+            (*v).r = (double)npy_creall(new);
+            (*v).i = (double)npy_cimagl(new);
+        }
+        else { /* if (PyArray_IsScalar(obj, CDouble)) */
+            PyArray_ScalarAsCtype(obj, v);
+        }
+        return 1;
+    }
+    if (PyArray_CheckScalar(obj)) { /* 0-dim array or still array scalar */
+        PyArrayObject *arr;
+        if (PyArray_Check(obj)) {
+            arr = (PyArrayObject *)PyArray_Cast((PyArrayObject *)obj, NPY_CDOUBLE);
+        }
+        else {
+            arr = (PyArrayObject *)PyArray_FromScalar(obj, PyArray_DescrFromType(NPY_CDOUBLE));
+        }
+        if (arr == NULL) {
+            return 0;
+        }
+        (*v).r = npy_creal(*(((npy_cdouble *)PyArray_DATA(arr))));
+        (*v).i = npy_cimag(*(((npy_cdouble *)PyArray_DATA(arr))));
+        Py_DECREF(arr);
+        return 1;
+    }
+    /* Python does not provide PyNumber_Complex function :-( */
+    (*v).i = 0.0;
+    if (PyFloat_Check(obj)) {
+        (*v).r = PyFloat_AsDouble(obj);
+        return !((*v).r == -1.0 && PyErr_Occurred());
+    }
+    if (PyLong_Check(obj)) {
+        (*v).r = PyLong_AsDouble(obj);
+        return !((*v).r == -1.0 && PyErr_Occurred());
+    }
+    if (PySequence_Check(obj) && !(PyBytes_Check(obj) || PyUnicode_Check(obj))) {
+        PyObject *tmp = PySequence_GetItem(obj,0);
+        if (tmp) {
+            if (complex_double_from_pyobj(v,tmp,errmess)) {
+                Py_DECREF(tmp);
+                return 1;
+            }
+            Py_DECREF(tmp);
+        }
+    }
+    {
+        PyObject* err = PyErr_Occurred();
+        if (err==NULL)
+            err = PyExc_TypeError;
+        PyErr_SetString(err,errmess);
+    }
+    return 0;
+}
+"""
+
+
+needs['complex_float_from_pyobj'] = [
+    'complex_float', 'complex_double_from_pyobj']
+cfuncs['complex_float_from_pyobj'] = """
+static int
+complex_float_from_pyobj(complex_float* v,PyObject *obj,const char *errmess)
+{
+    complex_double cd={0.0,0.0};
+    if (complex_double_from_pyobj(&cd,obj,errmess)) {
+        (*v).r = (float)cd.r;
+        (*v).i = (float)cd.i;
+        return 1;
+    }
+    return 0;
+}
+"""
+
+
+cfuncs['try_pyarr_from_character'] = """
+static int try_pyarr_from_character(PyObject* obj, character* v) {
+    PyArrayObject *arr = (PyArrayObject*)obj;
+    if (!obj) return -2;
+    if (PyArray_Check(obj)) {
+        if (F2PY_ARRAY_IS_CHARACTER_COMPATIBLE(arr))  {
+            *(character *)(PyArray_DATA(arr)) = *v;
+            return 1;
+        }
+    }
+    {
+        char mess[F2PY_MESSAGE_BUFFER_SIZE];
+        PyObject* err = PyErr_Occurred();
+        if (err == NULL) {
+            err = PyExc_ValueError;
+            strcpy(mess, "try_pyarr_from_character failed"
+                         " -- expected bytes array-scalar|array, got ");
+            f2py_describe(obj, mess + strlen(mess));
+            PyErr_SetString(err, mess);
+        }
+    }
+    return 0;
+}
+"""
+
+needs['try_pyarr_from_char'] = ['pyobj_from_char1', 'TRYPYARRAYTEMPLATE']
+cfuncs[
+    'try_pyarr_from_char'] = 'static int try_pyarr_from_char(PyObject* obj,char* v) {\n    TRYPYARRAYTEMPLATE(char,\'c\');\n}\n'
+needs['try_pyarr_from_signed_char'] = ['TRYPYARRAYTEMPLATE', 'unsigned_char']
+cfuncs[
+    'try_pyarr_from_unsigned_char'] = 'static int try_pyarr_from_unsigned_char(PyObject* obj,unsigned_char* v) {\n    TRYPYARRAYTEMPLATE(unsigned_char,\'b\');\n}\n'
+needs['try_pyarr_from_signed_char'] = ['TRYPYARRAYTEMPLATE', 'signed_char']
+cfuncs[
+    'try_pyarr_from_signed_char'] = 'static int try_pyarr_from_signed_char(PyObject* obj,signed_char* v) {\n    TRYPYARRAYTEMPLATE(signed_char,\'1\');\n}\n'
+needs['try_pyarr_from_short'] = ['pyobj_from_short1', 'TRYPYARRAYTEMPLATE']
+cfuncs[
+    'try_pyarr_from_short'] = 'static int try_pyarr_from_short(PyObject* obj,short* v) {\n    TRYPYARRAYTEMPLATE(short,\'s\');\n}\n'
+needs['try_pyarr_from_int'] = ['pyobj_from_int1', 'TRYPYARRAYTEMPLATE']
+cfuncs[
+    'try_pyarr_from_int'] = 'static int try_pyarr_from_int(PyObject* obj,int* v) {\n    TRYPYARRAYTEMPLATE(int,\'i\');\n}\n'
+needs['try_pyarr_from_long'] = ['pyobj_from_long1', 'TRYPYARRAYTEMPLATE']
+cfuncs[
+    'try_pyarr_from_long'] = 'static int try_pyarr_from_long(PyObject* obj,long* v) {\n    TRYPYARRAYTEMPLATE(long,\'l\');\n}\n'
+needs['try_pyarr_from_long_long'] = [
+    'pyobj_from_long_long1', 'TRYPYARRAYTEMPLATE', 'long_long']
+cfuncs[
+    'try_pyarr_from_long_long'] = 'static int try_pyarr_from_long_long(PyObject* obj,long_long* v) {\n    TRYPYARRAYTEMPLATE(long_long,\'L\');\n}\n'
+needs['try_pyarr_from_float'] = ['pyobj_from_float1', 'TRYPYARRAYTEMPLATE']
+cfuncs[
+    'try_pyarr_from_float'] = 'static int try_pyarr_from_float(PyObject* obj,float* v) {\n    TRYPYARRAYTEMPLATE(float,\'f\');\n}\n'
+needs['try_pyarr_from_double'] = ['pyobj_from_double1', 'TRYPYARRAYTEMPLATE']
+cfuncs[
+    'try_pyarr_from_double'] = 'static int try_pyarr_from_double(PyObject* obj,double* v) {\n    TRYPYARRAYTEMPLATE(double,\'d\');\n}\n'
+needs['try_pyarr_from_complex_float'] = [
+    'pyobj_from_complex_float1', 'TRYCOMPLEXPYARRAYTEMPLATE', 'complex_float']
+cfuncs[
+    'try_pyarr_from_complex_float'] = 'static int try_pyarr_from_complex_float(PyObject* obj,complex_float* v) {\n    TRYCOMPLEXPYARRAYTEMPLATE(float,\'F\');\n}\n'
+needs['try_pyarr_from_complex_double'] = [
+    'pyobj_from_complex_double1', 'TRYCOMPLEXPYARRAYTEMPLATE', 'complex_double']
+cfuncs[
+    'try_pyarr_from_complex_double'] = 'static int try_pyarr_from_complex_double(PyObject* obj,complex_double* v) {\n    TRYCOMPLEXPYARRAYTEMPLATE(double,\'D\');\n}\n'
+
+
+needs['create_cb_arglist'] = ['CFUNCSMESS', 'PRINTPYOBJERR', 'MINMAX']
+# create the list of arguments to be used when calling back to python
+cfuncs['create_cb_arglist'] = """
+static int
+create_cb_arglist(PyObject* fun, PyTupleObject* xa , const int maxnofargs,
+                  const int nofoptargs, int *nofargs, PyTupleObject **args,
+                  const char *errmess)
+{
+    PyObject *tmp = NULL;
+    PyObject *tmp_fun = NULL;
+    Py_ssize_t tot, opt, ext, siz, i, di = 0;
+    CFUNCSMESS(\"create_cb_arglist\\n\");
+    tot=opt=ext=siz=0;
+    /* Get the total number of arguments */
+    if (PyFunction_Check(fun)) {
+        tmp_fun = fun;
+        Py_INCREF(tmp_fun);
+    }
+    else {
+        di = 1;
+        if (PyObject_HasAttrString(fun,\"im_func\")) {
+            tmp_fun = PyObject_GetAttrString(fun,\"im_func\");
+        }
+        else if (PyObject_HasAttrString(fun,\"__call__\")) {
+            tmp = PyObject_GetAttrString(fun,\"__call__\");
+            if (PyObject_HasAttrString(tmp,\"im_func\"))
+                tmp_fun = PyObject_GetAttrString(tmp,\"im_func\");
+            else {
+                tmp_fun = fun; /* built-in function */
+                Py_INCREF(tmp_fun);
+                tot = maxnofargs;
+                if (PyCFunction_Check(fun)) {
+                    /* In case the function has a co_argcount (like on PyPy) */
+                    di = 0;
+                }
+                if (xa != NULL)
+                    tot += PyTuple_Size((PyObject *)xa);
+            }
+            Py_XDECREF(tmp);
+        }
+        else if (PyFortran_Check(fun) || PyFortran_Check1(fun)) {
+            tot = maxnofargs;
+            if (xa != NULL)
+                tot += PyTuple_Size((PyObject *)xa);
+            tmp_fun = fun;
+            Py_INCREF(tmp_fun);
+        }
+        else if (F2PyCapsule_Check(fun)) {
+            tot = maxnofargs;
+            if (xa != NULL)
+                ext = PyTuple_Size((PyObject *)xa);
+            if(ext>0) {
+                fprintf(stderr,\"extra arguments tuple cannot be used with PyCapsule call-back\\n\");
+                goto capi_fail;
+            }
+            tmp_fun = fun;
+            Py_INCREF(tmp_fun);
+        }
+    }
+
+    if (tmp_fun == NULL) {
+        fprintf(stderr,
+                \"Call-back argument must be function|instance|instance.__call__|f2py-function \"
+                \"but got %s.\\n\",
+                ((fun == NULL) ? \"NULL\" : Py_TYPE(fun)->tp_name));
+        goto capi_fail;
+    }
+
+    if (PyObject_HasAttrString(tmp_fun,\"__code__\")) {
+        if (PyObject_HasAttrString(tmp = PyObject_GetAttrString(tmp_fun,\"__code__\"),\"co_argcount\")) {
+            PyObject *tmp_argcount = PyObject_GetAttrString(tmp,\"co_argcount\");
+            Py_DECREF(tmp);
+            if (tmp_argcount == NULL) {
+                goto capi_fail;
+            }
+            tot = PyLong_AsSsize_t(tmp_argcount) - di;
+            Py_DECREF(tmp_argcount);
+        }
+    }
+    /* Get the number of optional arguments */
+    if (PyObject_HasAttrString(tmp_fun,\"__defaults__\")) {
+        if (PyTuple_Check(tmp = PyObject_GetAttrString(tmp_fun,\"__defaults__\")))
+            opt = PyTuple_Size(tmp);
+        Py_XDECREF(tmp);
+    }
+    /* Get the number of extra arguments */
+    if (xa != NULL)
+        ext = PyTuple_Size((PyObject *)xa);
+    /* Calculate the size of call-backs argument list */
+    siz = MIN(maxnofargs+ext,tot);
+    *nofargs = MAX(0,siz-ext);
+
+#ifdef DEBUGCFUNCS
+    fprintf(stderr,
+            \"debug-capi:create_cb_arglist:maxnofargs(-nofoptargs),\"
+            \"tot,opt,ext,siz,nofargs = %d(-%d), %zd, %zd, %zd, %zd, %d\\n\",
+            maxnofargs, nofoptargs, tot, opt, ext, siz, *nofargs);
+#endif
+
+    if (siz < tot-opt) {
+        fprintf(stderr,
+                \"create_cb_arglist: Failed to build argument list \"
+                \"(siz) with enough arguments (tot-opt) required by \"
+                \"user-supplied function (siz,tot,opt=%zd, %zd, %zd).\\n\",
+                siz, tot, opt);
+        goto capi_fail;
+    }
+
+    /* Initialize argument list */
+    *args = (PyTupleObject *)PyTuple_New(siz);
+    for (i=0;i<*nofargs;i++) {
+        Py_INCREF(Py_None);
+        PyTuple_SET_ITEM((PyObject *)(*args),i,Py_None);
+    }
+    if (xa != NULL)
+        for (i=(*nofargs);i 0:
+            if outneeds[n][0] not in needs:
+                out.append(outneeds[n][0])
+                del outneeds[n][0]
+            else:
+                flag = 0
+                for k in outneeds[n][1:]:
+                    if k in needs[outneeds[n][0]]:
+                        flag = 1
+                        break
+                if flag:
+                    outneeds[n] = outneeds[n][1:] + [outneeds[n][0]]
+                else:
+                    out.append(outneeds[n][0])
+                    del outneeds[n][0]
+            if saveout and (0 not in map(lambda x, y: x == y, saveout, outneeds[n])) \
+                    and outneeds[n] != []:
+                print(n, saveout)
+                errmess(
+                    'get_needs: no progress in sorting needs, probably circular dependence, skipping.\n')
+                out = out + saveout
+                break
+            saveout = copy.copy(outneeds[n])
+        if out == []:
+            out = [n]
+        res[n] = out
+    return res
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/common_rules.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/common_rules.py
new file mode 100644
index 0000000000000000000000000000000000000000..64347b737454fe1bae544b6630de2729157d7f71
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/common_rules.py
@@ -0,0 +1,146 @@
+"""
+Build common block mechanism for f2py2e.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+from . import __version__
+f2py_version = __version__.version
+
+from .auxfuncs import (
+    hasbody, hascommon, hasnote, isintent_hide, outmess, getuseblocks
+)
+from . import capi_maps
+from . import func2subr
+from .crackfortran import rmbadname
+
+
+def findcommonblocks(block, top=1):
+    ret = []
+    if hascommon(block):
+        for key, value in block['common'].items():
+            vars_ = {v: block['vars'][v] for v in value}
+            ret.append((key, value, vars_))
+    elif hasbody(block):
+        for b in block['body']:
+            ret = ret + findcommonblocks(b, 0)
+    if top:
+        tret = []
+        names = []
+        for t in ret:
+            if t[0] not in names:
+                names.append(t[0])
+                tret.append(t)
+        return tret
+    return ret
+
+
+def buildhooks(m):
+    ret = {'commonhooks': [], 'initcommonhooks': [],
+           'docs': ['"COMMON blocks:\\n"']}
+    fwrap = ['']
+
+    def fadd(line, s=fwrap):
+        s[0] = '%s\n      %s' % (s[0], line)
+    chooks = ['']
+
+    def cadd(line, s=chooks):
+        s[0] = '%s\n%s' % (s[0], line)
+    ihooks = ['']
+
+    def iadd(line, s=ihooks):
+        s[0] = '%s\n%s' % (s[0], line)
+    doc = ['']
+
+    def dadd(line, s=doc):
+        s[0] = '%s\n%s' % (s[0], line)
+    for (name, vnames, vars) in findcommonblocks(m):
+        lower_name = name.lower()
+        hnames, inames = [], []
+        for n in vnames:
+            if isintent_hide(vars[n]):
+                hnames.append(n)
+            else:
+                inames.append(n)
+        if hnames:
+            outmess('\t\tConstructing COMMON block support for "%s"...\n\t\t  %s\n\t\t  Hidden: %s\n' % (
+                name, ','.join(inames), ','.join(hnames)))
+        else:
+            outmess('\t\tConstructing COMMON block support for "%s"...\n\t\t  %s\n' % (
+                name, ','.join(inames)))
+        fadd('subroutine f2pyinit%s(setupfunc)' % name)
+        for usename in getuseblocks(m):
+            fadd(f'use {usename}')
+        fadd('external setupfunc')
+        for n in vnames:
+            fadd(func2subr.var2fixfortran(vars, n))
+        if name == '_BLNK_':
+            fadd('common %s' % (','.join(vnames)))
+        else:
+            fadd('common /%s/ %s' % (name, ','.join(vnames)))
+        fadd('call setupfunc(%s)' % (','.join(inames)))
+        fadd('end\n')
+        cadd('static FortranDataDef f2py_%s_def[] = {' % (name))
+        idims = []
+        for n in inames:
+            ct = capi_maps.getctype(vars[n])
+            elsize = capi_maps.get_elsize(vars[n])
+            at = capi_maps.c2capi_map[ct]
+            dm = capi_maps.getarrdims(n, vars[n])
+            if dm['dims']:
+                idims.append('(%s)' % (dm['dims']))
+            else:
+                idims.append('')
+            dms = dm['dims'].strip()
+            if not dms:
+                dms = '-1'
+            cadd('\t{\"%s\",%s,{{%s}},%s, %s},'
+                 % (n, dm['rank'], dms, at, elsize))
+        cadd('\t{NULL}\n};')
+        inames1 = rmbadname(inames)
+        inames1_tps = ','.join(['char *' + s for s in inames1])
+        cadd('static void f2py_setup_%s(%s) {' % (name, inames1_tps))
+        cadd('\tint i_f2py=0;')
+        for n in inames1:
+            cadd('\tf2py_%s_def[i_f2py++].data = %s;' % (name, n))
+        cadd('}')
+        if '_' in lower_name:
+            F_FUNC = 'F_FUNC_US'
+        else:
+            F_FUNC = 'F_FUNC'
+        cadd('extern void %s(f2pyinit%s,F2PYINIT%s)(void(*)(%s));'
+             % (F_FUNC, lower_name, name.upper(),
+                ','.join(['char*'] * len(inames1))))
+        cadd('static void f2py_init_%s(void) {' % name)
+        cadd('\t%s(f2pyinit%s,F2PYINIT%s)(f2py_setup_%s);'
+             % (F_FUNC, lower_name, name.upper(), name))
+        cadd('}\n')
+        iadd('\ttmp = PyFortranObject_New(f2py_%s_def,f2py_init_%s);' % (name, name))
+        iadd('\tif (tmp == NULL) return NULL;')
+        iadd('\tif (F2PyDict_SetItemString(d, \"%s\", tmp) == -1) return NULL;'
+             % name)
+        iadd('\tPy_DECREF(tmp);')
+        tname = name.replace('_', '\\_')
+        dadd('\\subsection{Common block \\texttt{%s}}\n' % (tname))
+        dadd('\\begin{description}')
+        for n in inames:
+            dadd('\\item[]{{}\\verb@%s@{}}' %
+                 (capi_maps.getarrdocsign(n, vars[n])))
+            if hasnote(vars[n]):
+                note = vars[n]['note']
+                if isinstance(note, list):
+                    note = '\n'.join(note)
+                dadd('--- %s' % (note))
+        dadd('\\end{description}')
+        ret['docs'].append(
+            '"\t/%s/ %s\\n"' % (name, ','.join(map(lambda v, d: v + d, inames, idims))))
+    ret['commonhooks'] = chooks
+    ret['initcommonhooks'] = ihooks
+    ret['latexdoc'] = doc[0]
+    if len(ret['docs']) <= 1:
+        ret['docs'] = ''
+    return ret, fwrap[0]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/crackfortran.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/crackfortran.py
new file mode 100644
index 0000000000000000000000000000000000000000..3ea1888df113686fb36f2c0cafed0786f12411a6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/crackfortran.py
@@ -0,0 +1,3746 @@
+"""
+crackfortran --- read fortran (77,90) code and extract declaration information.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+
+
+Usage of crackfortran:
+======================
+Command line keys: -quiet,-verbose,-fix,-f77,-f90,-show,-h 
+                   -m ,--ignore-contains
+Functions: crackfortran, crack2fortran
+The following Fortran statements/constructions are supported
+(or will be if needed):
+   block data,byte,call,character,common,complex,contains,data,
+   dimension,double complex,double precision,end,external,function,
+   implicit,integer,intent,interface,intrinsic,
+   logical,module,optional,parameter,private,public,
+   program,real,(sequence?),subroutine,type,use,virtual,
+   include,pythonmodule
+Note: 'virtual' is mapped to 'dimension'.
+Note: 'implicit integer (z) static (z)' is 'implicit static (z)' (this is minor bug).
+Note: code after 'contains' will be ignored until its scope ends.
+Note: 'common' statement is extended: dimensions are moved to variable definitions
+Note: f2py directive: f2py is read as 
+Note: pythonmodule is introduced to represent Python module
+
+Usage:
+  `postlist=crackfortran(files)`
+  `postlist` contains declaration information read from the list of files `files`.
+  `crack2fortran(postlist)` returns a fortran code to be saved to pyf-file
+
+  `postlist` has the following structure:
+ *** it is a list of dictionaries containing `blocks':
+     B = {'block','body','vars','parent_block'[,'name','prefix','args','result',
+          'implicit','externals','interfaced','common','sortvars',
+          'commonvars','note']}
+     B['block'] = 'interface' | 'function' | 'subroutine' | 'module' |
+                  'program' | 'block data' | 'type' | 'pythonmodule' |
+                  'abstract interface'
+     B['body'] --- list containing `subblocks' with the same structure as `blocks'
+     B['parent_block'] --- dictionary of a parent block:
+                             C['body'][]['parent_block'] is C
+     B['vars'] --- dictionary of variable definitions
+     B['sortvars'] --- dictionary of variable definitions sorted by dependence (independent first)
+     B['name'] --- name of the block (not if B['block']=='interface')
+     B['prefix'] --- prefix string (only if B['block']=='function')
+     B['args'] --- list of argument names if B['block']== 'function' | 'subroutine'
+     B['result'] --- name of the return value (only if B['block']=='function')
+     B['implicit'] --- dictionary {'a':,'b':...} | None
+     B['externals'] --- list of variables being external
+     B['interfaced'] --- list of variables being external and defined
+     B['common'] --- dictionary of common blocks (list of objects)
+     B['commonvars'] --- list of variables used in common blocks (dimensions are moved to variable definitions)
+     B['from'] --- string showing the 'parents' of the current block
+     B['use'] --- dictionary of modules used in current block:
+         {:{['only':<0|1>],['map':{:,...}]}}
+     B['note'] --- list of LaTeX comments on the block
+     B['f2pyenhancements'] --- optional dictionary
+          {'threadsafe':'','fortranname':,
+           'callstatement':|,
+           'callprotoargument':,
+           'usercode':|,
+           'pymethoddef:'
+           }
+     B['entry'] --- dictionary {entryname:argslist,..}
+     B['varnames'] --- list of variable names given in the order of reading the
+                       Fortran code, useful for derived types.
+     B['saved_interface'] --- a string of scanned routine signature, defines explicit interface
+ *** Variable definition is a dictionary
+     D = B['vars'][] =
+     {'typespec'[,'attrspec','kindselector','charselector','=','typename']}
+     D['typespec'] = 'byte' | 'character' | 'complex' | 'double complex' |
+                     'double precision' | 'integer' | 'logical' | 'real' | 'type'
+     D['attrspec'] --- list of attributes (e.g. 'dimension()',
+                       'external','intent(in|out|inout|hide|c|callback|cache|aligned4|aligned8|aligned16)',
+                       'optional','required', etc)
+     K = D['kindselector'] = {['*','kind']} (only if D['typespec'] =
+                         'complex' | 'integer' | 'logical' | 'real' )
+     C = D['charselector'] = {['*','len','kind','f2py_len']}
+                             (only if D['typespec']=='character')
+     D['='] --- initialization expression string
+     D['typename'] --- name of the type if D['typespec']=='type'
+     D['dimension'] --- list of dimension bounds
+     D['intent'] --- list of intent specifications
+     D['depend'] --- list of variable names on which current variable depends on
+     D['check'] --- list of C-expressions; if C-expr returns zero, exception is raised
+     D['note'] --- list of LaTeX comments on the variable
+ *** Meaning of kind/char selectors (few examples):
+     D['typespec>']*K['*']
+     D['typespec'](kind=K['kind'])
+     character*C['*']
+     character(len=C['len'],kind=C['kind'], f2py_len=C['f2py_len'])
+     (see also fortran type declaration statement formats below)
+
+Fortran 90 type declaration statement format (F77 is subset of F90)
+====================================================================
+(Main source: IBM XL Fortran 5.1 Language Reference Manual)
+type declaration =  [[]::] 
+ = byte                          |
+             character[]     |
+             complex[]       |
+             double complex                |
+             double precision              |
+             integer[]       |
+             logical[]       |
+             real[]          |
+             type()
+ = *                |
+             ([len=][,[kind=]]) |
+             (kind=[,len=])
+ = *                 |
+             ([kind=])
+ = comma separated list of attributes.
+             Only the following attributes are used in
+             building up the interface:
+                external
+                (parameter --- affects '=' key)
+                optional
+                intent
+             Other attributes are ignored.
+ = in | out | inout
+ = comma separated list of dimension bounds.
+ =  [[*][()] | [()]*]
+                      [// | =] [,]
+
+In addition, the following attributes are used: check,depend,note
+
+TODO:
+    * Apply 'parameter' attribute (e.g. 'integer parameter :: i=2' 'real x(i)'
+                                   -> 'real x(2)')
+    The above may be solved by creating appropriate preprocessor program, for example.
+
+"""
+import sys
+import string
+import fileinput
+import re
+import os
+import copy
+import platform
+import codecs
+from pathlib import Path
+try:
+    import charset_normalizer
+except ImportError:
+    charset_normalizer = None
+
+from . import __version__
+
+# The environment provided by auxfuncs.py is needed for some calls to eval.
+# As the needed functions cannot be determined by static inspection of the
+# code, it is safest to use import * pending a major refactoring of f2py.
+from .auxfuncs import *
+from . import symbolic
+
+f2py_version = __version__.version
+
+# Global flags:
+strictf77 = 1          # Ignore `!' comments unless line[0]=='!'
+sourcecodeform = 'fix'  # 'fix','free'
+quiet = 0              # Be verbose if 0 (Obsolete: not used any more)
+verbose = 1            # Be quiet if 0, extra verbose if > 1.
+tabchar = 4 * ' '
+pyffilename = ''
+f77modulename = ''
+skipemptyends = 0      # for old F77 programs without 'program' statement
+ignorecontains = 1
+dolowercase = 1
+debug = []
+
+# Global variables
+beginpattern = ''
+currentfilename = ''
+expectbegin = 1
+f90modulevars = {}
+filepositiontext = ''
+gotnextfile = 1
+groupcache = None
+groupcounter = 0
+grouplist = {groupcounter: []}
+groupname = ''
+include_paths = []
+neededmodule = -1
+onlyfuncs = []
+previous_context = None
+skipblocksuntil = -1
+skipfuncs = []
+skipfunctions = []
+usermodules = []
+
+
+def reset_global_f2py_vars():
+    global groupcounter, grouplist, neededmodule, expectbegin
+    global skipblocksuntil, usermodules, f90modulevars, gotnextfile
+    global filepositiontext, currentfilename, skipfunctions, skipfuncs
+    global onlyfuncs, include_paths, previous_context
+    global strictf77, sourcecodeform, quiet, verbose, tabchar, pyffilename
+    global f77modulename, skipemptyends, ignorecontains, dolowercase, debug
+
+    # flags
+    strictf77 = 1
+    sourcecodeform = 'fix'
+    quiet = 0
+    verbose = 1
+    tabchar = 4 * ' '
+    pyffilename = ''
+    f77modulename = ''
+    skipemptyends = 0
+    ignorecontains = 1
+    dolowercase = 1
+    debug = []
+    # variables
+    groupcounter = 0
+    grouplist = {groupcounter: []}
+    neededmodule = -1
+    expectbegin = 1
+    skipblocksuntil = -1
+    usermodules = []
+    f90modulevars = {}
+    gotnextfile = 1
+    filepositiontext = ''
+    currentfilename = ''
+    skipfunctions = []
+    skipfuncs = []
+    onlyfuncs = []
+    include_paths = []
+    previous_context = None
+
+
+def outmess(line, flag=1):
+    global filepositiontext
+
+    if not verbose:
+        return
+    if not quiet:
+        if flag:
+            sys.stdout.write(filepositiontext)
+        sys.stdout.write(line)
+
+re._MAXCACHE = 50
+defaultimplicitrules = {}
+for c in "abcdefghopqrstuvwxyz$_":
+    defaultimplicitrules[c] = {'typespec': 'real'}
+for c in "ijklmn":
+    defaultimplicitrules[c] = {'typespec': 'integer'}
+badnames = {}
+invbadnames = {}
+for n in ['int', 'double', 'float', 'char', 'short', 'long', 'void', 'case', 'while',
+          'return', 'signed', 'unsigned', 'if', 'for', 'typedef', 'sizeof', 'union',
+          'struct', 'static', 'register', 'new', 'break', 'do', 'goto', 'switch',
+          'continue', 'else', 'inline', 'extern', 'delete', 'const', 'auto',
+          'len', 'rank', 'shape', 'index', 'slen', 'size', '_i',
+          'max', 'min',
+          'flen', 'fshape',
+          'string', 'complex_double', 'float_double', 'stdin', 'stderr', 'stdout',
+          'type', 'default']:
+    badnames[n] = n + '_bn'
+    invbadnames[n + '_bn'] = n
+
+
+def rmbadname1(name):
+    if name in badnames:
+        errmess('rmbadname1: Replacing "%s" with "%s".\n' %
+                (name, badnames[name]))
+        return badnames[name]
+    return name
+
+
+def rmbadname(names):
+    return [rmbadname1(_m) for _m in names]
+
+
+def undo_rmbadname1(name):
+    if name in invbadnames:
+        errmess('undo_rmbadname1: Replacing "%s" with "%s".\n'
+                % (name, invbadnames[name]))
+        return invbadnames[name]
+    return name
+
+
+def undo_rmbadname(names):
+    return [undo_rmbadname1(_m) for _m in names]
+
+
+_has_f_header = re.compile(r'-\*-\s*fortran\s*-\*-', re.I).search
+_has_f90_header = re.compile(r'-\*-\s*f90\s*-\*-', re.I).search
+_has_fix_header = re.compile(r'-\*-\s*fix\s*-\*-', re.I).search
+_free_f90_start = re.compile(r'[^c*]\s*[^\s\d\t]', re.I).match
+
+# Extensions
+COMMON_FREE_EXTENSIONS = ['.f90', '.f95', '.f03', '.f08']
+COMMON_FIXED_EXTENSIONS = ['.for', '.ftn', '.f77', '.f']
+
+
+def openhook(filename, mode):
+    """Ensures that filename is opened with correct encoding parameter.
+
+    This function uses charset_normalizer package, when available, for
+    determining the encoding of the file to be opened. When charset_normalizer
+    is not available, the function detects only UTF encodings, otherwise, ASCII
+    encoding is used as fallback.
+    """
+    # Reads in the entire file. Robust detection of encoding.
+    # Correctly handles comments or late stage unicode characters
+    # gh-22871
+    if charset_normalizer is not None:
+        encoding = charset_normalizer.from_path(filename).best().encoding
+    else:
+        # hint: install charset_normalizer for correct encoding handling
+        # No need to read the whole file for trying with startswith
+        nbytes = min(32, os.path.getsize(filename))
+        with open(filename, 'rb') as fhandle:
+            raw = fhandle.read(nbytes)
+            if raw.startswith(codecs.BOM_UTF8):
+                encoding = 'UTF-8-SIG'
+            elif raw.startswith((codecs.BOM_UTF32_LE, codecs.BOM_UTF32_BE)):
+                encoding = 'UTF-32'
+            elif raw.startswith((codecs.BOM_LE, codecs.BOM_BE)):
+                encoding = 'UTF-16'
+            else:
+                # Fallback, without charset_normalizer
+                encoding = 'ascii'
+    return open(filename, mode, encoding=encoding)
+
+
+def is_free_format(fname):
+    """Check if file is in free format Fortran."""
+    # f90 allows both fixed and free format, assuming fixed unless
+    # signs of free format are detected.
+    result = False
+    if Path(fname).suffix.lower() in COMMON_FREE_EXTENSIONS:
+        result = True
+    with openhook(fname, 'r') as fhandle:
+        line = fhandle.readline()
+        n = 15  # the number of non-comment lines to scan for hints
+        if _has_f_header(line):
+            n = 0
+        elif _has_f90_header(line):
+            n = 0
+            result = True
+        while n > 0 and line:
+            if line[0] != '!' and line.strip():
+                n -= 1
+                if (line[0] != '\t' and _free_f90_start(line[:5])) or line[-2:-1] == '&':
+                    result = True
+                    break
+            line = fhandle.readline()
+    return result
+
+
+# Read fortran (77,90) code
+def readfortrancode(ffile, dowithline=show, istop=1):
+    """
+    Read fortran codes from files and
+     1) Get rid of comments, line continuations, and empty lines; lower cases.
+     2) Call dowithline(line) on every line.
+     3) Recursively call itself when statement \"include ''\" is met.
+    """
+    global gotnextfile, filepositiontext, currentfilename, sourcecodeform, strictf77
+    global beginpattern, quiet, verbose, dolowercase, include_paths
+
+    if not istop:
+        saveglobals = gotnextfile, filepositiontext, currentfilename, sourcecodeform, strictf77,\
+            beginpattern, quiet, verbose, dolowercase
+    if ffile == []:
+        return
+    localdolowercase = dolowercase
+    # cont: set to True when the content of the last line read
+    # indicates statement continuation
+    cont = False
+    finalline = ''
+    ll = ''
+    includeline = re.compile(
+        r'\s*include\s*(\'|")(?P[^\'"]*)(\'|")', re.I)
+    cont1 = re.compile(r'(?P.*)&\s*\Z')
+    cont2 = re.compile(r'(\s*&|)(?P.*)')
+    mline_mark = re.compile(r".*?'''")
+    if istop:
+        dowithline('', -1)
+    ll, l1 = '', ''
+    spacedigits = [' '] + [str(_m) for _m in range(10)]
+    filepositiontext = ''
+    fin = fileinput.FileInput(ffile, openhook=openhook)
+    while True:
+        try:
+            l = fin.readline()
+        except UnicodeDecodeError as msg:
+            raise Exception(
+                f'readfortrancode: reading {fin.filename()}#{fin.lineno()}'
+                f' failed with\n{msg}.\nIt is likely that installing charset_normalizer'
+                ' package will help f2py determine the input file encoding'
+                ' correctly.')
+        if not l:
+            break
+        if fin.isfirstline():
+            filepositiontext = ''
+            currentfilename = fin.filename()
+            gotnextfile = 1
+            l1 = l
+            strictf77 = 0
+            sourcecodeform = 'fix'
+            ext = os.path.splitext(currentfilename)[1]
+            if Path(currentfilename).suffix.lower() in COMMON_FIXED_EXTENSIONS and \
+                    not (_has_f90_header(l) or _has_fix_header(l)):
+                strictf77 = 1
+            elif is_free_format(currentfilename) and not _has_fix_header(l):
+                sourcecodeform = 'free'
+            if strictf77:
+                beginpattern = beginpattern77
+            else:
+                beginpattern = beginpattern90
+            outmess('\tReading file %s (format:%s%s)\n'
+                    % (repr(currentfilename), sourcecodeform,
+                       strictf77 and ',strict' or ''))
+
+        l = l.expandtabs().replace('\xa0', ' ')
+        # Get rid of newline characters
+        while not l == '':
+            if l[-1] not in "\n\r\f":
+                break
+            l = l[:-1]
+        # Do not lower for directives, gh-2547, gh-27697, gh-26681
+        is_f2py_directive = False
+        # Unconditionally remove comments
+        (l, rl) = split_by_unquoted(l, '!')
+        l += ' '
+        if rl[:5].lower() == '!f2py':  # f2py directive
+            l, _ = split_by_unquoted(l + 4 * ' ' + rl[5:], '!')
+            is_f2py_directive = True
+        if l.strip() == '':  # Skip empty line
+            if sourcecodeform == 'free':
+                # In free form, a statement continues in the next line
+                # that is not a comment line [3.3.2.4^1], lines with
+                # blanks are comment lines [3.3.2.3^1]. Hence, the
+                # line continuation flag must retain its state.
+                pass
+            else:
+                # In fixed form, statement continuation is determined
+                # by a non-blank character at the 6-th position. Empty
+                # line indicates a start of a new statement
+                # [3.3.3.3^1]. Hence, the line continuation flag must
+                # be reset.
+                cont = False
+            continue
+        if sourcecodeform == 'fix':
+            if l[0] in ['*', 'c', '!', 'C', '#']:
+                if l[1:5].lower() == 'f2py':  # f2py directive
+                    l = '     ' + l[5:]
+                    is_f2py_directive = True
+                else:  # Skip comment line
+                    cont = False
+                    is_f2py_directive = False
+                    continue
+            elif strictf77:
+                if len(l) > 72:
+                    l = l[:72]
+            if l[0] not in spacedigits:
+                raise Exception('readfortrancode: Found non-(space,digit) char '
+                                'in the first column.\n\tAre you sure that '
+                                'this code is in fix form?\n\tline=%s' % repr(l))
+
+            if (not cont or strictf77) and (len(l) > 5 and not l[5] == ' '):
+                # Continuation of a previous line
+                ll = ll + l[6:]
+                finalline = ''
+                origfinalline = ''
+            else:
+                r = cont1.match(l)
+                if r:
+                    l = r.group('line') # Continuation follows ..
+                if cont:
+                    ll = ll + cont2.match(l).group('line')
+                    finalline = ''
+                    origfinalline = ''
+                else:
+                    # clean up line beginning from possible digits.
+                    l = '     ' + l[5:]
+                    # f2py directives are already stripped by this point
+                    if localdolowercase:
+                        finalline = ll.lower()
+                    else:
+                        finalline = ll
+                    origfinalline = ll
+                    ll = l
+
+        elif sourcecodeform == 'free':
+            if not cont and ext == '.pyf' and mline_mark.match(l):
+                l = l + '\n'
+                while True:
+                    lc = fin.readline()
+                    if not lc:
+                        errmess(
+                            'Unexpected end of file when reading multiline\n')
+                        break
+                    l = l + lc
+                    if mline_mark.match(lc):
+                        break
+                l = l.rstrip()
+            r = cont1.match(l)
+            if r:
+                l = r.group('line')  # Continuation follows ..
+            if cont:
+                ll = ll + cont2.match(l).group('line')
+                finalline = ''
+                origfinalline = ''
+            else:
+                if localdolowercase:
+                    # only skip lowering for C style constructs
+                    # gh-2547, gh-27697, gh-26681, gh-28014
+                    finalline = ll.lower() if not (is_f2py_directive and iscstyledirective(ll)) else ll
+                else:
+                    finalline = ll
+                origfinalline = ll
+                ll = l
+            cont = (r is not None)
+        else:
+            raise ValueError(
+                "Flag sourcecodeform must be either 'fix' or 'free': %s" % repr(sourcecodeform))
+        filepositiontext = 'Line #%d in %s:"%s"\n\t' % (
+            fin.filelineno() - 1, currentfilename, l1)
+        m = includeline.match(origfinalline)
+        if m:
+            fn = m.group('name')
+            if os.path.isfile(fn):
+                readfortrancode(fn, dowithline=dowithline, istop=0)
+            else:
+                include_dirs = [
+                    os.path.dirname(currentfilename)] + include_paths
+                foundfile = 0
+                for inc_dir in include_dirs:
+                    fn1 = os.path.join(inc_dir, fn)
+                    if os.path.isfile(fn1):
+                        foundfile = 1
+                        readfortrancode(fn1, dowithline=dowithline, istop=0)
+                        break
+                if not foundfile:
+                    outmess('readfortrancode: could not find include file %s in %s. Ignoring.\n' % (
+                        repr(fn), os.pathsep.join(include_dirs)))
+        else:
+            dowithline(finalline)
+        l1 = ll
+    # Last line should never have an f2py directive anyway
+    if localdolowercase:
+        finalline = ll.lower()
+    else:
+        finalline = ll
+    origfinalline = ll
+    filepositiontext = 'Line #%d in %s:"%s"\n\t' % (
+        fin.filelineno() - 1, currentfilename, l1)
+    m = includeline.match(origfinalline)
+    if m:
+        fn = m.group('name')
+        if os.path.isfile(fn):
+            readfortrancode(fn, dowithline=dowithline, istop=0)
+        else:
+            include_dirs = [os.path.dirname(currentfilename)] + include_paths
+            foundfile = 0
+            for inc_dir in include_dirs:
+                fn1 = os.path.join(inc_dir, fn)
+                if os.path.isfile(fn1):
+                    foundfile = 1
+                    readfortrancode(fn1, dowithline=dowithline, istop=0)
+                    break
+            if not foundfile:
+                outmess('readfortrancode: could not find include file %s in %s. Ignoring.\n' % (
+                    repr(fn), os.pathsep.join(include_dirs)))
+    else:
+        dowithline(finalline)
+    filepositiontext = ''
+    fin.close()
+    if istop:
+        dowithline('', 1)
+    else:
+        gotnextfile, filepositiontext, currentfilename, sourcecodeform, strictf77,\
+            beginpattern, quiet, verbose, dolowercase = saveglobals
+
+# Crack line
+beforethisafter = r'\s*(?P%s(?=\s*(\b(%s)\b)))' + \
+    r'\s*(?P(\b(%s)\b))' + \
+    r'\s*(?P%s)\s*\Z'
+##
+fortrantypes = r'character|logical|integer|real|complex|double\s*(precision\s*(complex|)|complex)|type(?=\s*\([\w\s,=(*)]*\))|byte'
+typespattern = re.compile(
+    beforethisafter % ('', fortrantypes, fortrantypes, '.*'), re.I), 'type'
+typespattern4implicit = re.compile(beforethisafter % (
+    '', fortrantypes + '|static|automatic|undefined', fortrantypes + '|static|automatic|undefined', '.*'), re.I)
+#
+functionpattern = re.compile(beforethisafter % (
+    r'([a-z]+[\w\s(=*+-/)]*?|)', 'function', 'function', '.*'), re.I), 'begin'
+subroutinepattern = re.compile(beforethisafter % (
+    r'[a-z\s]*?', 'subroutine', 'subroutine', '.*'), re.I), 'begin'
+# modulepattern=re.compile(beforethisafter%('[a-z\s]*?','module','module','.*'),re.I),'begin'
+#
+groupbegins77 = r'program|block\s*data'
+beginpattern77 = re.compile(
+    beforethisafter % ('', groupbegins77, groupbegins77, '.*'), re.I), 'begin'
+groupbegins90 = groupbegins77 + \
+    r'|module(?!\s*procedure)|python\s*module|(abstract|)\s*interface|' + \
+    r'type(?!\s*\()'
+beginpattern90 = re.compile(
+    beforethisafter % ('', groupbegins90, groupbegins90, '.*'), re.I), 'begin'
+groupends = (r'end|endprogram|endblockdata|endmodule|endpythonmodule|'
+             r'endinterface|endsubroutine|endfunction')
+endpattern = re.compile(
+    beforethisafter % ('', groupends, groupends, '.*'), re.I), 'end'
+# block, the Fortran 2008 construct needs special handling in the rest of the file
+endifs = r'end\s*(if|do|where|select|while|forall|associate|' + \
+         r'critical|enum|team)'
+endifpattern = re.compile(
+    beforethisafter % (r'[\w]*?', endifs, endifs, '.*'), re.I), 'endif'
+#
+moduleprocedures = r'module\s*procedure'
+moduleprocedurepattern = re.compile(
+    beforethisafter % ('', moduleprocedures, moduleprocedures, '.*'), re.I), \
+    'moduleprocedure'
+implicitpattern = re.compile(
+    beforethisafter % ('', 'implicit', 'implicit', '.*'), re.I), 'implicit'
+dimensionpattern = re.compile(beforethisafter % (
+    '', 'dimension|virtual', 'dimension|virtual', '.*'), re.I), 'dimension'
+externalpattern = re.compile(
+    beforethisafter % ('', 'external', 'external', '.*'), re.I), 'external'
+optionalpattern = re.compile(
+    beforethisafter % ('', 'optional', 'optional', '.*'), re.I), 'optional'
+requiredpattern = re.compile(
+    beforethisafter % ('', 'required', 'required', '.*'), re.I), 'required'
+publicpattern = re.compile(
+    beforethisafter % ('', 'public', 'public', '.*'), re.I), 'public'
+privatepattern = re.compile(
+    beforethisafter % ('', 'private', 'private', '.*'), re.I), 'private'
+intrinsicpattern = re.compile(
+    beforethisafter % ('', 'intrinsic', 'intrinsic', '.*'), re.I), 'intrinsic'
+intentpattern = re.compile(beforethisafter % (
+    '', 'intent|depend|note|check', 'intent|depend|note|check', r'\s*\(.*?\).*'), re.I), 'intent'
+parameterpattern = re.compile(
+    beforethisafter % ('', 'parameter', 'parameter', r'\s*\(.*'), re.I), 'parameter'
+datapattern = re.compile(
+    beforethisafter % ('', 'data', 'data', '.*'), re.I), 'data'
+callpattern = re.compile(
+    beforethisafter % ('', 'call', 'call', '.*'), re.I), 'call'
+entrypattern = re.compile(
+    beforethisafter % ('', 'entry', 'entry', '.*'), re.I), 'entry'
+callfunpattern = re.compile(
+    beforethisafter % ('', 'callfun', 'callfun', '.*'), re.I), 'callfun'
+commonpattern = re.compile(
+    beforethisafter % ('', 'common', 'common', '.*'), re.I), 'common'
+usepattern = re.compile(
+    beforethisafter % ('', 'use', 'use', '.*'), re.I), 'use'
+containspattern = re.compile(
+    beforethisafter % ('', 'contains', 'contains', ''), re.I), 'contains'
+formatpattern = re.compile(
+    beforethisafter % ('', 'format', 'format', '.*'), re.I), 'format'
+# Non-fortran and f2py-specific statements
+f2pyenhancementspattern = re.compile(beforethisafter % ('', 'threadsafe|fortranname|callstatement|callprotoargument|usercode|pymethoddef',
+                                                        'threadsafe|fortranname|callstatement|callprotoargument|usercode|pymethoddef', '.*'), re.I | re.S), 'f2pyenhancements'
+multilinepattern = re.compile(
+    r"\s*(?P''')(?P.*?)(?P''')\s*\Z", re.S), 'multiline'
+##
+
+def split_by_unquoted(line, characters):
+    """
+    Splits the line into (line[:i], line[i:]),
+    where i is the index of first occurrence of one of the characters
+    not within quotes, or len(line) if no such index exists
+    """
+    assert not (set('"\'') & set(characters)), "cannot split by unquoted quotes"
+    r = re.compile(
+        r"\A(?P({single_quoted}|{double_quoted}|{not_quoted})*)"
+        r"(?P{char}.*)\Z".format(
+            not_quoted="[^\"'{}]".format(re.escape(characters)),
+            char="[{}]".format(re.escape(characters)),
+            single_quoted=r"('([^'\\]|(\\.))*')",
+            double_quoted=r'("([^"\\]|(\\.))*")'))
+    m = r.match(line)
+    if m:
+        d = m.groupdict()
+        return (d["before"], d["after"])
+    return (line, "")
+
+def _simplifyargs(argsline):
+    a = []
+    for n in markoutercomma(argsline).split('@,@'):
+        for r in '(),':
+            n = n.replace(r, '_')
+        a.append(n)
+    return ','.join(a)
+
+crackline_re_1 = re.compile(r'\s*(?P\b[a-z]+\w*\b)\s*=.*', re.I)
+crackline_bind_1 = re.compile(r'\s*(?P\b[a-z]+\w*\b)\s*=.*', re.I)
+crackline_bindlang = re.compile(r'\s*bind\(\s*(?P[^,]+)\s*,\s*name\s*=\s*"(?P[^"]+)"\s*\)', re.I)
+
+def crackline(line, reset=0):
+    """
+    reset=-1  --- initialize
+    reset=0   --- crack the line
+    reset=1   --- final check if mismatch of blocks occurred
+
+    Cracked data is saved in grouplist[0].
+    """
+    global beginpattern, groupcounter, groupname, groupcache, grouplist
+    global filepositiontext, currentfilename, neededmodule, expectbegin
+    global skipblocksuntil, skipemptyends, previous_context, gotnextfile
+
+    _, has_semicolon = split_by_unquoted(line, ";")
+    if has_semicolon and not (f2pyenhancementspattern[0].match(line) or
+                               multilinepattern[0].match(line)):
+        # XXX: non-zero reset values need testing
+        assert reset == 0, repr(reset)
+        # split line on unquoted semicolons
+        line, semicolon_line = split_by_unquoted(line, ";")
+        while semicolon_line:
+            crackline(line, reset)
+            line, semicolon_line = split_by_unquoted(semicolon_line[1:], ";")
+        crackline(line, reset)
+        return
+    if reset < 0:
+        groupcounter = 0
+        groupname = {groupcounter: ''}
+        groupcache = {groupcounter: {}}
+        grouplist = {groupcounter: []}
+        groupcache[groupcounter]['body'] = []
+        groupcache[groupcounter]['vars'] = {}
+        groupcache[groupcounter]['block'] = ''
+        groupcache[groupcounter]['name'] = ''
+        neededmodule = -1
+        skipblocksuntil = -1
+        return
+    if reset > 0:
+        fl = 0
+        if f77modulename and neededmodule == groupcounter:
+            fl = 2
+        while groupcounter > fl:
+            outmess('crackline: groupcounter=%s groupname=%s\n' %
+                    (repr(groupcounter), repr(groupname)))
+            outmess(
+                'crackline: Mismatch of blocks encountered. Trying to fix it by assuming "end" statement.\n')
+            grouplist[groupcounter - 1].append(groupcache[groupcounter])
+            grouplist[groupcounter - 1][-1]['body'] = grouplist[groupcounter]
+            del grouplist[groupcounter]
+            groupcounter = groupcounter - 1
+        if f77modulename and neededmodule == groupcounter:
+            grouplist[groupcounter - 1].append(groupcache[groupcounter])
+            grouplist[groupcounter - 1][-1]['body'] = grouplist[groupcounter]
+            del grouplist[groupcounter]
+            groupcounter = groupcounter - 1  # end interface
+            grouplist[groupcounter - 1].append(groupcache[groupcounter])
+            grouplist[groupcounter - 1][-1]['body'] = grouplist[groupcounter]
+            del grouplist[groupcounter]
+            groupcounter = groupcounter - 1  # end module
+            neededmodule = -1
+        return
+    if line == '':
+        return
+    flag = 0
+    for pat in [dimensionpattern, externalpattern, intentpattern, optionalpattern,
+                requiredpattern,
+                parameterpattern, datapattern, publicpattern, privatepattern,
+                intrinsicpattern,
+                endifpattern, endpattern,
+                formatpattern,
+                beginpattern, functionpattern, subroutinepattern,
+                implicitpattern, typespattern, commonpattern,
+                callpattern, usepattern, containspattern,
+                entrypattern,
+                f2pyenhancementspattern,
+                multilinepattern,
+                moduleprocedurepattern
+                ]:
+        m = pat[0].match(line)
+        if m:
+            break
+        flag = flag + 1
+    if not m:
+        re_1 = crackline_re_1
+        if 0 <= skipblocksuntil <= groupcounter:
+            return
+        if 'externals' in groupcache[groupcounter]:
+            for name in groupcache[groupcounter]['externals']:
+                if name in invbadnames:
+                    name = invbadnames[name]
+                if 'interfaced' in groupcache[groupcounter] and name in groupcache[groupcounter]['interfaced']:
+                    continue
+                m1 = re.match(
+                    r'(?P[^"]*)\b%s\b\s*@\(@(?P[^@]*)@\)@.*\Z' % name, markouterparen(line), re.I)
+                if m1:
+                    m2 = re_1.match(m1.group('before'))
+                    a = _simplifyargs(m1.group('args'))
+                    if m2:
+                        line = 'callfun %s(%s) result (%s)' % (
+                            name, a, m2.group('result'))
+                    else:
+                        line = 'callfun %s(%s)' % (name, a)
+                    m = callfunpattern[0].match(line)
+                    if not m:
+                        outmess(
+                            'crackline: could not resolve function call for line=%s.\n' % repr(line))
+                        return
+                    analyzeline(m, 'callfun', line)
+                    return
+        if verbose > 1 or (verbose == 1 and currentfilename.lower().endswith('.pyf')):
+            previous_context = None
+            outmess('crackline:%d: No pattern for line\n' % (groupcounter))
+        return
+    elif pat[1] == 'end':
+        if 0 <= skipblocksuntil < groupcounter:
+            groupcounter = groupcounter - 1
+            if skipblocksuntil <= groupcounter:
+                return
+        if groupcounter <= 0:
+            raise Exception('crackline: groupcounter(=%s) is nonpositive. '
+                            'Check the blocks.'
+                            % (groupcounter))
+        m1 = beginpattern[0].match(line)
+        if (m1) and (not m1.group('this') == groupname[groupcounter]):
+            raise Exception('crackline: End group %s does not match with '
+                            'previous Begin group %s\n\t%s' %
+                            (repr(m1.group('this')), repr(groupname[groupcounter]),
+                             filepositiontext)
+                            )
+        if skipblocksuntil == groupcounter:
+            skipblocksuntil = -1
+        grouplist[groupcounter - 1].append(groupcache[groupcounter])
+        grouplist[groupcounter - 1][-1]['body'] = grouplist[groupcounter]
+        del grouplist[groupcounter]
+        groupcounter = groupcounter - 1
+        if not skipemptyends:
+            expectbegin = 1
+    elif pat[1] == 'begin':
+        if 0 <= skipblocksuntil <= groupcounter:
+            groupcounter = groupcounter + 1
+            return
+        gotnextfile = 0
+        analyzeline(m, pat[1], line)
+        expectbegin = 0
+    elif pat[1] == 'endif':
+        pass
+    elif pat[1] == 'moduleprocedure':
+        analyzeline(m, pat[1], line)
+    elif pat[1] == 'contains':
+        if ignorecontains:
+            return
+        if 0 <= skipblocksuntil <= groupcounter:
+            return
+        skipblocksuntil = groupcounter
+    else:
+        if 0 <= skipblocksuntil <= groupcounter:
+            return
+        analyzeline(m, pat[1], line)
+
+
+def markouterparen(line):
+    l = ''
+    f = 0
+    for c in line:
+        if c == '(':
+            f = f + 1
+            if f == 1:
+                l = l + '@(@'
+                continue
+        elif c == ')':
+            f = f - 1
+            if f == 0:
+                l = l + '@)@'
+                continue
+        l = l + c
+    return l
+
+
+def markoutercomma(line, comma=','):
+    l = ''
+    f = 0
+    before, after = split_by_unquoted(line, comma + '()')
+    l += before
+    while after:
+        if (after[0] == comma) and (f == 0):
+            l += '@' + comma + '@'
+        else:
+            l += after[0]
+            if after[0] == '(':
+                f += 1
+            elif after[0] == ')':
+                f -= 1
+        before, after = split_by_unquoted(after[1:], comma + '()')
+        l += before
+    assert not f, repr((f, line, l))
+    return l
+
+def unmarkouterparen(line):
+    r = line.replace('@(@', '(').replace('@)@', ')')
+    return r
+
+
+def appenddecl(decl, decl2, force=1):
+    if not decl:
+        decl = {}
+    if not decl2:
+        return decl
+    if decl is decl2:
+        return decl
+    for k in list(decl2.keys()):
+        if k == 'typespec':
+            if force or k not in decl:
+                decl[k] = decl2[k]
+        elif k == 'attrspec':
+            for l in decl2[k]:
+                decl = setattrspec(decl, l, force)
+        elif k == 'kindselector':
+            decl = setkindselector(decl, decl2[k], force)
+        elif k == 'charselector':
+            decl = setcharselector(decl, decl2[k], force)
+        elif k in ['=', 'typename']:
+            if force or k not in decl:
+                decl[k] = decl2[k]
+        elif k == 'note':
+            pass
+        elif k in ['intent', 'check', 'dimension', 'optional',
+                   'required', 'depend']:
+            errmess('appenddecl: "%s" not implemented.\n' % k)
+        else:
+            raise Exception('appenddecl: Unknown variable definition key: ' +
+                            str(k))
+    return decl
+
+selectpattern = re.compile(
+    r'\s*(?P(@\(@.*?@\)@|\*[\d*]+|\*\s*@\(@.*?@\)@|))(?P.*)\Z', re.I)
+typedefpattern = re.compile(
+    r'(?:,(?P[\w(),]+))?(::)?(?P\b[a-z$_][\w$]*\b)'
+    r'(?:\((?P[\w,]*)\))?\Z', re.I)
+nameargspattern = re.compile(
+    r'\s*(?P\b[\w$]+\b)\s*(@\(@\s*(?P[\w\s,]*)\s*@\)@|)\s*((result(\s*@\(@\s*(?P\b[\w$]+\b)\s*@\)@|))|(bind\s*@\(@\s*(?P(?:(?!@\)@).)*)\s*@\)@))*\s*\Z', re.I)
+operatorpattern = re.compile(
+    r'\s*(?P(operator|assignment))'
+    r'@\(@\s*(?P[^)]+)\s*@\)@\s*\Z', re.I)
+callnameargspattern = re.compile(
+    r'\s*(?P\b[\w$]+\b)\s*@\(@\s*(?P.*)\s*@\)@\s*\Z', re.I)
+real16pattern = re.compile(
+    r'([-+]?(?:\d+(?:\.\d*)?|\d*\.\d+))[dD]((?:[-+]?\d+)?)')
+real8pattern = re.compile(
+    r'([-+]?((?:\d+(?:\.\d*)?|\d*\.\d+))[eE]((?:[-+]?\d+)?)|(\d+\.\d*))')
+
+_intentcallbackpattern = re.compile(r'intent\s*\(.*?\bcallback\b', re.I)
+
+
+def _is_intent_callback(vdecl):
+    for a in vdecl.get('attrspec', []):
+        if _intentcallbackpattern.match(a):
+            return 1
+    return 0
+
+
+def _resolvetypedefpattern(line):
+    line = ''.join(line.split())  # removes whitespace
+    m1 = typedefpattern.match(line)
+    print(line, m1)
+    if m1:
+        attrs = m1.group('attributes')
+        attrs = [a.lower() for a in attrs.split(',')] if attrs else []
+        return m1.group('name'), attrs, m1.group('params')
+    return None, [], None
+
+def parse_name_for_bind(line):
+    pattern = re.compile(r'bind\(\s*(?P[^,]+)(?:\s*,\s*name\s*=\s*["\'](?P[^"\']+)["\']\s*)?\)', re.I)
+    match = pattern.search(line)
+    bind_statement = None
+    if match:
+        bind_statement = match.group(0)
+        # Remove the 'bind' construct from the line.
+        line = line[:match.start()] + line[match.end():]
+    return line, bind_statement
+
+def _resolvenameargspattern(line):
+    line, bind_cname = parse_name_for_bind(line)
+    line = markouterparen(line)
+    m1 = nameargspattern.match(line)
+    if m1:
+        return m1.group('name'), m1.group('args'), m1.group('result'), bind_cname
+    m1 = operatorpattern.match(line)
+    if m1:
+        name = m1.group('scheme') + '(' + m1.group('name') + ')'
+        return name, [], None, None
+    m1 = callnameargspattern.match(line)
+    if m1:
+        return m1.group('name'), m1.group('args'), None, None
+    return None, [], None, None
+
+
+def analyzeline(m, case, line):
+    """
+    Reads each line in the input file in sequence and updates global vars.
+
+    Effectively reads and collects information from the input file to the
+    global variable groupcache, a dictionary containing info about each part
+    of the fortran module.
+
+    At the end of analyzeline, information is filtered into the correct dict
+    keys, but parameter values and dimensions are not yet interpreted.
+    """
+    global groupcounter, groupname, groupcache, grouplist, filepositiontext
+    global currentfilename, f77modulename, neededinterface, neededmodule
+    global expectbegin, gotnextfile, previous_context
+
+    block = m.group('this')
+    if case != 'multiline':
+        previous_context = None
+    if expectbegin and case not in ['begin', 'call', 'callfun', 'type'] \
+       and not skipemptyends and groupcounter < 1:
+        newname = os.path.basename(currentfilename).split('.')[0]
+        outmess(
+            'analyzeline: no group yet. Creating program group with name "%s".\n' % newname)
+        gotnextfile = 0
+        groupcounter = groupcounter + 1
+        groupname[groupcounter] = 'program'
+        groupcache[groupcounter] = {}
+        grouplist[groupcounter] = []
+        groupcache[groupcounter]['body'] = []
+        groupcache[groupcounter]['vars'] = {}
+        groupcache[groupcounter]['block'] = 'program'
+        groupcache[groupcounter]['name'] = newname
+        groupcache[groupcounter]['from'] = 'fromsky'
+        expectbegin = 0
+    if case in ['begin', 'call', 'callfun']:
+        # Crack line => block,name,args,result
+        block = block.lower()
+        if re.match(r'block\s*data', block, re.I):
+            block = 'block data'
+        elif re.match(r'python\s*module', block, re.I):
+            block = 'python module'
+        elif re.match(r'abstract\s*interface', block, re.I):
+            block = 'abstract interface'
+        if block == 'type':
+            name, attrs, _ = _resolvetypedefpattern(m.group('after'))
+            groupcache[groupcounter]['vars'][name] = dict(attrspec = attrs)
+            args = []
+            result = None
+        else:
+            name, args, result, bindcline = _resolvenameargspattern(m.group('after'))
+        if name is None:
+            if block == 'block data':
+                name = '_BLOCK_DATA_'
+            else:
+                name = ''
+            if block not in ['interface', 'block data', 'abstract interface']:
+                outmess('analyzeline: No name/args pattern found for line.\n')
+
+        previous_context = (block, name, groupcounter)
+        if args:
+            args = rmbadname([x.strip()
+                              for x in markoutercomma(args).split('@,@')])
+        else:
+            args = []
+        if '' in args:
+            while '' in args:
+                args.remove('')
+            outmess(
+                'analyzeline: argument list is malformed (missing argument).\n')
+
+        # end of crack line => block,name,args,result
+        needmodule = 0
+        needinterface = 0
+
+        if case in ['call', 'callfun']:
+            needinterface = 1
+            if 'args' not in groupcache[groupcounter]:
+                return
+            if name not in groupcache[groupcounter]['args']:
+                return
+            for it in grouplist[groupcounter]:
+                if it['name'] == name:
+                    return
+            if name in groupcache[groupcounter]['interfaced']:
+                return
+            block = {'call': 'subroutine', 'callfun': 'function'}[case]
+        if f77modulename and neededmodule == -1 and groupcounter <= 1:
+            neededmodule = groupcounter + 2
+            needmodule = 1
+            if block not in ['interface', 'abstract interface']:
+                needinterface = 1
+        # Create new block(s)
+        groupcounter = groupcounter + 1
+        groupcache[groupcounter] = {}
+        grouplist[groupcounter] = []
+        if needmodule:
+            if verbose > 1:
+                outmess('analyzeline: Creating module block %s\n' %
+                        repr(f77modulename), 0)
+            groupname[groupcounter] = 'module'
+            groupcache[groupcounter]['block'] = 'python module'
+            groupcache[groupcounter]['name'] = f77modulename
+            groupcache[groupcounter]['from'] = ''
+            groupcache[groupcounter]['body'] = []
+            groupcache[groupcounter]['externals'] = []
+            groupcache[groupcounter]['interfaced'] = []
+            groupcache[groupcounter]['vars'] = {}
+            groupcounter = groupcounter + 1
+            groupcache[groupcounter] = {}
+            grouplist[groupcounter] = []
+        if needinterface:
+            if verbose > 1:
+                outmess('analyzeline: Creating additional interface block (groupcounter=%s).\n' % (
+                    groupcounter), 0)
+            groupname[groupcounter] = 'interface'
+            groupcache[groupcounter]['block'] = 'interface'
+            groupcache[groupcounter]['name'] = 'unknown_interface'
+            groupcache[groupcounter]['from'] = '%s:%s' % (
+                groupcache[groupcounter - 1]['from'], groupcache[groupcounter - 1]['name'])
+            groupcache[groupcounter]['body'] = []
+            groupcache[groupcounter]['externals'] = []
+            groupcache[groupcounter]['interfaced'] = []
+            groupcache[groupcounter]['vars'] = {}
+            groupcounter = groupcounter + 1
+            groupcache[groupcounter] = {}
+            grouplist[groupcounter] = []
+        groupname[groupcounter] = block
+        groupcache[groupcounter]['block'] = block
+        if not name:
+            name = 'unknown_' + block.replace(' ', '_')
+        groupcache[groupcounter]['prefix'] = m.group('before')
+        groupcache[groupcounter]['name'] = rmbadname1(name)
+        groupcache[groupcounter]['result'] = result
+        if groupcounter == 1:
+            groupcache[groupcounter]['from'] = currentfilename
+        else:
+            if f77modulename and groupcounter == 3:
+                groupcache[groupcounter]['from'] = '%s:%s' % (
+                    groupcache[groupcounter - 1]['from'], currentfilename)
+            else:
+                groupcache[groupcounter]['from'] = '%s:%s' % (
+                    groupcache[groupcounter - 1]['from'], groupcache[groupcounter - 1]['name'])
+        for k in list(groupcache[groupcounter].keys()):
+            if not groupcache[groupcounter][k]:
+                del groupcache[groupcounter][k]
+
+        groupcache[groupcounter]['args'] = args
+        groupcache[groupcounter]['body'] = []
+        groupcache[groupcounter]['externals'] = []
+        groupcache[groupcounter]['interfaced'] = []
+        groupcache[groupcounter]['vars'] = {}
+        groupcache[groupcounter]['entry'] = {}
+        # end of creation
+        if block == 'type':
+            groupcache[groupcounter]['varnames'] = []
+
+        if case in ['call', 'callfun']:  # set parents variables
+            if name not in groupcache[groupcounter - 2]['externals']:
+                groupcache[groupcounter - 2]['externals'].append(name)
+            groupcache[groupcounter]['vars'] = copy.deepcopy(
+                groupcache[groupcounter - 2]['vars'])
+            try:
+                del groupcache[groupcounter]['vars'][name][
+                    groupcache[groupcounter]['vars'][name]['attrspec'].index('external')]
+            except Exception:
+                pass
+        if block in ['function', 'subroutine']:  # set global attributes
+            # name is fortran name
+            if bindcline:
+                bindcdat = re.search(crackline_bindlang, bindcline)
+                if bindcdat:
+                    groupcache[groupcounter]['bindlang'] = {name : {}}
+                    groupcache[groupcounter]['bindlang'][name]["lang"] = bindcdat.group('lang')
+                    if bindcdat.group('lang_name'):
+                        groupcache[groupcounter]['bindlang'][name]["name"] = bindcdat.group('lang_name')
+            try:
+                groupcache[groupcounter]['vars'][name] = appenddecl(
+                    groupcache[groupcounter]['vars'][name], groupcache[groupcounter - 2]['vars'][''])
+            except Exception:
+                pass
+            if case == 'callfun':  # return type
+                if result and result in groupcache[groupcounter]['vars']:
+                    if not name == result:
+                        groupcache[groupcounter]['vars'][name] = appenddecl(
+                            groupcache[groupcounter]['vars'][name], groupcache[groupcounter]['vars'][result])
+            # if groupcounter>1: # name is interfaced
+            try:
+                groupcache[groupcounter - 2]['interfaced'].append(name)
+            except Exception:
+                pass
+        if block == 'function':
+            t = typespattern[0].match(m.group('before') + ' ' + name)
+            if t:
+                typespec, selector, attr, edecl = cracktypespec0(
+                    t.group('this'), t.group('after'))
+                updatevars(typespec, selector, attr, edecl)
+
+        if case in ['call', 'callfun']:
+            grouplist[groupcounter - 1].append(groupcache[groupcounter])
+            grouplist[groupcounter - 1][-1]['body'] = grouplist[groupcounter]
+            del grouplist[groupcounter]
+            groupcounter = groupcounter - 1  # end routine
+            grouplist[groupcounter - 1].append(groupcache[groupcounter])
+            grouplist[groupcounter - 1][-1]['body'] = grouplist[groupcounter]
+            del grouplist[groupcounter]
+            groupcounter = groupcounter - 1  # end interface
+
+    elif case == 'entry':
+        name, args, result, _= _resolvenameargspattern(m.group('after'))
+        if name is not None:
+            if args:
+                args = rmbadname([x.strip()
+                                  for x in markoutercomma(args).split('@,@')])
+            else:
+                args = []
+            assert result is None, repr(result)
+            groupcache[groupcounter]['entry'][name] = args
+            previous_context = ('entry', name, groupcounter)
+    elif case == 'type':
+        typespec, selector, attr, edecl = cracktypespec0(
+            block, m.group('after'))
+        last_name = updatevars(typespec, selector, attr, edecl)
+        if last_name is not None:
+            previous_context = ('variable', last_name, groupcounter)
+    elif case in ['dimension', 'intent', 'optional', 'required', 'external', 'public', 'private', 'intrinsic']:
+        edecl = groupcache[groupcounter]['vars']
+        ll = m.group('after').strip()
+        i = ll.find('::')
+        if i < 0 and case == 'intent':
+            i = markouterparen(ll).find('@)@') - 2
+            ll = ll[:i + 1] + '::' + ll[i + 1:]
+            i = ll.find('::')
+            if ll[i:] == '::' and 'args' in groupcache[groupcounter]:
+                outmess('All arguments will have attribute %s%s\n' %
+                        (m.group('this'), ll[:i]))
+                ll = ll + ','.join(groupcache[groupcounter]['args'])
+        if i < 0:
+            i = 0
+            pl = ''
+        else:
+            pl = ll[:i].strip()
+            ll = ll[i + 2:]
+        ch = markoutercomma(pl).split('@,@')
+        if len(ch) > 1:
+            pl = ch[0]
+            outmess('analyzeline: cannot handle multiple attributes without type specification. Ignoring %r.\n' % (
+                ','.join(ch[1:])))
+        last_name = None
+
+        for e in [x.strip() for x in markoutercomma(ll).split('@,@')]:
+            m1 = namepattern.match(e)
+            if not m1:
+                if case in ['public', 'private']:
+                    k = ''
+                else:
+                    print(m.groupdict())
+                    outmess('analyzeline: no name pattern found in %s statement for %s. Skipping.\n' % (
+                        case, repr(e)))
+                    continue
+            else:
+                k = rmbadname1(m1.group('name'))
+            if case in ['public', 'private'] and \
+               (k == 'operator' or k == 'assignment'):
+                k += m1.group('after')
+            if k not in edecl:
+                edecl[k] = {}
+            if case == 'dimension':
+                ap = case + m1.group('after')
+            if case == 'intent':
+                ap = m.group('this') + pl
+                if _intentcallbackpattern.match(ap):
+                    if k not in groupcache[groupcounter]['args']:
+                        if groupcounter > 1:
+                            if '__user__' not in groupcache[groupcounter - 2]['name']:
+                                outmess(
+                                    'analyzeline: missing __user__ module (could be nothing)\n')
+                            # fixes ticket 1693
+                            if k != groupcache[groupcounter]['name']:
+                                outmess('analyzeline: appending intent(callback) %s'
+                                        ' to %s arguments\n' % (k, groupcache[groupcounter]['name']))
+                                groupcache[groupcounter]['args'].append(k)
+                        else:
+                            errmess(
+                                'analyzeline: intent(callback) %s is ignored\n' % (k))
+                    else:
+                        errmess('analyzeline: intent(callback) %s is already'
+                                ' in argument list\n' % (k))
+            if case in ['optional', 'required', 'public', 'external', 'private', 'intrinsic']:
+                ap = case
+            if 'attrspec' in edecl[k]:
+                edecl[k]['attrspec'].append(ap)
+            else:
+                edecl[k]['attrspec'] = [ap]
+            if case == 'external':
+                if groupcache[groupcounter]['block'] == 'program':
+                    outmess('analyzeline: ignoring program arguments\n')
+                    continue
+                if k not in groupcache[groupcounter]['args']:
+                    continue
+                if 'externals' not in groupcache[groupcounter]:
+                    groupcache[groupcounter]['externals'] = []
+                groupcache[groupcounter]['externals'].append(k)
+            last_name = k
+        groupcache[groupcounter]['vars'] = edecl
+        if last_name is not None:
+            previous_context = ('variable', last_name, groupcounter)
+    elif case == 'moduleprocedure':
+        groupcache[groupcounter]['implementedby'] = \
+            [x.strip() for x in m.group('after').split(',')]
+    elif case == 'parameter':
+        edecl = groupcache[groupcounter]['vars']
+        ll = m.group('after').strip()[1:-1]
+        last_name = None
+        for e in markoutercomma(ll).split('@,@'):
+            try:
+                k, initexpr = [x.strip() for x in e.split('=')]
+            except Exception:
+                outmess(
+                    'analyzeline: could not extract name,expr in parameter statement "%s" of "%s"\n' % (e, ll))
+                continue
+            params = get_parameters(edecl)
+            k = rmbadname1(k)
+            if k not in edecl:
+                edecl[k] = {}
+            if '=' in edecl[k] and (not edecl[k]['='] == initexpr):
+                outmess('analyzeline: Overwriting the value of parameter "%s" ("%s") with "%s".\n' % (
+                    k, edecl[k]['='], initexpr))
+            t = determineexprtype(initexpr, params)
+            if t:
+                if t.get('typespec') == 'real':
+                    tt = list(initexpr)
+                    for m in real16pattern.finditer(initexpr):
+                        tt[m.start():m.end()] = list(
+                            initexpr[m.start():m.end()].lower().replace('d', 'e'))
+                    initexpr = ''.join(tt)
+                elif t.get('typespec') == 'complex':
+                    initexpr = initexpr[1:].lower().replace('d', 'e').\
+                        replace(',', '+1j*(')
+            try:
+                v = eval(initexpr, {}, params)
+            except (SyntaxError, NameError, TypeError) as msg:
+                errmess('analyzeline: Failed to evaluate %r. Ignoring: %s\n'
+                        % (initexpr, msg))
+                continue
+            edecl[k]['='] = repr(v)
+            if 'attrspec' in edecl[k]:
+                edecl[k]['attrspec'].append('parameter')
+            else:
+                edecl[k]['attrspec'] = ['parameter']
+            last_name = k
+        groupcache[groupcounter]['vars'] = edecl
+        if last_name is not None:
+            previous_context = ('variable', last_name, groupcounter)
+    elif case == 'implicit':
+        if m.group('after').strip().lower() == 'none':
+            groupcache[groupcounter]['implicit'] = None
+        elif m.group('after'):
+            if 'implicit' in groupcache[groupcounter]:
+                impl = groupcache[groupcounter]['implicit']
+            else:
+                impl = {}
+            if impl is None:
+                outmess(
+                    'analyzeline: Overwriting earlier "implicit none" statement.\n')
+                impl = {}
+            for e in markoutercomma(m.group('after')).split('@,@'):
+                decl = {}
+                m1 = re.match(
+                    r'\s*(?P.*?)\s*(\(\s*(?P[a-z-, ]+)\s*\)\s*|)\Z', e, re.I)
+                if not m1:
+                    outmess(
+                        'analyzeline: could not extract info of implicit statement part "%s"\n' % (e))
+                    continue
+                m2 = typespattern4implicit.match(m1.group('this'))
+                if not m2:
+                    outmess(
+                        'analyzeline: could not extract types pattern of implicit statement part "%s"\n' % (e))
+                    continue
+                typespec, selector, attr, edecl = cracktypespec0(
+                    m2.group('this'), m2.group('after'))
+                kindselect, charselect, typename = cracktypespec(
+                    typespec, selector)
+                decl['typespec'] = typespec
+                decl['kindselector'] = kindselect
+                decl['charselector'] = charselect
+                decl['typename'] = typename
+                for k in list(decl.keys()):
+                    if not decl[k]:
+                        del decl[k]
+                for r in markoutercomma(m1.group('after')).split('@,@'):
+                    if '-' in r:
+                        try:
+                            begc, endc = [x.strip() for x in r.split('-')]
+                        except Exception:
+                            outmess(
+                                'analyzeline: expected "-" instead of "%s" in range list of implicit statement\n' % r)
+                            continue
+                    else:
+                        begc = endc = r.strip()
+                    if not len(begc) == len(endc) == 1:
+                        outmess(
+                            'analyzeline: expected "-" instead of "%s" in range list of implicit statement (2)\n' % r)
+                        continue
+                    for o in range(ord(begc), ord(endc) + 1):
+                        impl[chr(o)] = decl
+            groupcache[groupcounter]['implicit'] = impl
+    elif case == 'data':
+        ll = []
+        dl = ''
+        il = ''
+        f = 0
+        fc = 1
+        inp = 0
+        for c in m.group('after'):
+            if not inp:
+                if c == "'":
+                    fc = not fc
+                if c == '/' and fc:
+                    f = f + 1
+                    continue
+            if c == '(':
+                inp = inp + 1
+            elif c == ')':
+                inp = inp - 1
+            if f == 0:
+                dl = dl + c
+            elif f == 1:
+                il = il + c
+            elif f == 2:
+                dl = dl.strip()
+                if dl.startswith(','):
+                    dl = dl[1:].strip()
+                ll.append([dl, il])
+                dl = c
+                il = ''
+                f = 0
+        if f == 2:
+            dl = dl.strip()
+            if dl.startswith(','):
+                dl = dl[1:].strip()
+            ll.append([dl, il])
+        vars = groupcache[groupcounter].get('vars', {})
+        last_name = None
+        for l in ll:
+            l[0], l[1] = l[0].strip(), l[1].strip()
+            if l[0].startswith(','):
+                l[0] = l[0][1:]
+            if l[0].startswith('('):
+                outmess('analyzeline: implied-DO list "%s" is not supported. Skipping.\n' % l[0])
+                continue
+            for idx, v in enumerate(rmbadname([x.strip() for x in markoutercomma(l[0]).split('@,@')])):
+                if v.startswith('('):
+                    outmess('analyzeline: implied-DO list "%s" is not supported. Skipping.\n' % v)
+                    # XXX: subsequent init expressions may get wrong values.
+                    # Ignoring since data statements are irrelevant for
+                    # wrapping.
+                    continue
+                if '!' in l[1]:
+                    # Fixes gh-24746 pyf generation
+                    # XXX: This essentially ignores the value for generating the pyf which is fine:
+                    # integer dimension(3) :: mytab
+                    # common /mycom/ mytab
+                    # Since in any case it is initialized in the Fortran code
+                    outmess('Comment line in declaration "%s" is not supported. Skipping.\n' % l[1])
+                    continue
+                vars.setdefault(v, {})
+                vtype = vars[v].get('typespec')
+                vdim = getdimension(vars[v])
+                matches = re.findall(r"\(.*?\)", l[1]) if vtype == 'complex' else l[1].split(',')
+                try:
+                    new_val = "(/{}/)".format(", ".join(matches)) if vdim else matches[idx]
+                except IndexError:
+                    # gh-24746
+                    # Runs only if above code fails. Fixes the line
+                    # DATA IVAR1, IVAR2, IVAR3, IVAR4, EVAR5 /4*0,0.0D0/
+                    # by expanding to ['0', '0', '0', '0', '0.0d0']
+                    if any("*" in m for m in matches):
+                        expanded_list = []
+                        for match in matches:
+                            if "*" in match:
+                                try:
+                                    multiplier, value = match.split("*")
+                                    expanded_list.extend([value.strip()] * int(multiplier))
+                                except ValueError: # if int(multiplier) fails
+                                    expanded_list.append(match.strip())
+                            else:
+                                expanded_list.append(match.strip())
+                        matches = expanded_list
+                    new_val = "(/{}/)".format(", ".join(matches)) if vdim else matches[idx]
+                current_val = vars[v].get('=')
+                if current_val and (current_val != new_val):
+                    outmess('analyzeline: changing init expression of "%s" ("%s") to "%s"\n' % (v, current_val, new_val))
+                vars[v]['='] = new_val
+                last_name = v
+        groupcache[groupcounter]['vars'] = vars
+        if last_name:
+            previous_context = ('variable', last_name, groupcounter)
+    elif case == 'common':
+        line = m.group('after').strip()
+        if not line[0] == '/':
+            line = '//' + line
+
+        cl = []
+        [_, bn, ol] = re.split('/', line, maxsplit=2)
+        bn = bn.strip()
+        if not bn:
+            bn = '_BLNK_'
+        cl.append([bn, ol])
+        commonkey = {}
+        if 'common' in groupcache[groupcounter]:
+            commonkey = groupcache[groupcounter]['common']
+        for c in cl:
+            if c[0] not in commonkey:
+                commonkey[c[0]] = []
+            for i in [x.strip() for x in markoutercomma(c[1]).split('@,@')]:
+                if i:
+                    commonkey[c[0]].append(i)
+        groupcache[groupcounter]['common'] = commonkey
+        previous_context = ('common', bn, groupcounter)
+    elif case == 'use':
+        m1 = re.match(
+            r'\A\s*(?P\b\w+\b)\s*((,(\s*\bonly\b\s*:|(?P))\s*(?P.*))|)\s*\Z', m.group('after'), re.I)
+        if m1:
+            mm = m1.groupdict()
+            if 'use' not in groupcache[groupcounter]:
+                groupcache[groupcounter]['use'] = {}
+            name = m1.group('name')
+            groupcache[groupcounter]['use'][name] = {}
+            isonly = 0
+            if 'list' in mm and mm['list'] is not None:
+                if 'notonly' in mm and mm['notonly'] is None:
+                    isonly = 1
+                groupcache[groupcounter]['use'][name]['only'] = isonly
+                ll = [x.strip() for x in mm['list'].split(',')]
+                rl = {}
+                for l in ll:
+                    if '=' in l:
+                        m2 = re.match(
+                            r'\A\s*(?P\b\w+\b)\s*=\s*>\s*(?P\b\w+\b)\s*\Z', l, re.I)
+                        if m2:
+                            rl[m2.group('local').strip()] = m2.group(
+                                'use').strip()
+                        else:
+                            outmess(
+                                'analyzeline: Not local=>use pattern found in %s\n' % repr(l))
+                    else:
+                        rl[l] = l
+                    groupcache[groupcounter]['use'][name]['map'] = rl
+            else:
+                pass
+        else:
+            print(m.groupdict())
+            outmess('analyzeline: Could not crack the use statement.\n')
+    elif case in ['f2pyenhancements']:
+        if 'f2pyenhancements' not in groupcache[groupcounter]:
+            groupcache[groupcounter]['f2pyenhancements'] = {}
+        d = groupcache[groupcounter]['f2pyenhancements']
+        if m.group('this') == 'usercode' and 'usercode' in d:
+            if isinstance(d['usercode'], str):
+                d['usercode'] = [d['usercode']]
+            d['usercode'].append(m.group('after'))
+        else:
+            d[m.group('this')] = m.group('after')
+    elif case == 'multiline':
+        if previous_context is None:
+            if verbose:
+                outmess('analyzeline: No context for multiline block.\n')
+            return
+        gc = groupcounter
+        appendmultiline(groupcache[gc],
+                        previous_context[:2],
+                        m.group('this'))
+    else:
+        if verbose > 1:
+            print(m.groupdict())
+            outmess('analyzeline: No code implemented for line.\n')
+
+
+def appendmultiline(group, context_name, ml):
+    if 'f2pymultilines' not in group:
+        group['f2pymultilines'] = {}
+    d = group['f2pymultilines']
+    if context_name not in d:
+        d[context_name] = []
+    d[context_name].append(ml)
+    return
+
+
+def cracktypespec0(typespec, ll):
+    selector = None
+    attr = None
+    if re.match(r'double\s*complex', typespec, re.I):
+        typespec = 'double complex'
+    elif re.match(r'double\s*precision', typespec, re.I):
+        typespec = 'double precision'
+    else:
+        typespec = typespec.strip().lower()
+    m1 = selectpattern.match(markouterparen(ll))
+    if not m1:
+        outmess(
+            'cracktypespec0: no kind/char_selector pattern found for line.\n')
+        return
+    d = m1.groupdict()
+    for k in list(d.keys()):
+        d[k] = unmarkouterparen(d[k])
+    if typespec in ['complex', 'integer', 'logical', 'real', 'character', 'type']:
+        selector = d['this']
+        ll = d['after']
+    i = ll.find('::')
+    if i >= 0:
+        attr = ll[:i].strip()
+        ll = ll[i + 2:]
+    return typespec, selector, attr, ll
+#####
+namepattern = re.compile(r'\s*(?P\b\w+\b)\s*(?P.*)\s*\Z', re.I)
+kindselector = re.compile(
+    r'\s*(\(\s*(kind\s*=)?\s*(?P.*)\s*\)|\*\s*(?P.*?))\s*\Z', re.I)
+charselector = re.compile(
+    r'\s*(\((?P.*)\)|\*\s*(?P.*))\s*\Z', re.I)
+lenkindpattern = re.compile(
+    r'\s*(kind\s*=\s*(?P.*?)\s*(@,@\s*len\s*=\s*(?P.*)|)'
+    r'|(len\s*=\s*|)(?P.*?)\s*(@,@\s*(kind\s*=\s*|)(?P.*)'
+    r'|(f2py_len\s*=\s*(?P.*))|))\s*\Z', re.I)
+lenarraypattern = re.compile(
+    r'\s*(@\(@\s*(?!/)\s*(?P.*?)\s*@\)@\s*\*\s*(?P.*?)|(\*\s*(?P.*?)|)\s*(@\(@\s*(?!/)\s*(?P.*?)\s*@\)@|))\s*(=\s*(?P.*?)|(@\(@|)/\s*(?P.*?)\s*/(@\)@|)|)\s*\Z', re.I)
+
+
+def removespaces(expr):
+    expr = expr.strip()
+    if len(expr) <= 1:
+        return expr
+    expr2 = expr[0]
+    for i in range(1, len(expr) - 1):
+        if (expr[i] == ' ' and
+            ((expr[i + 1] in "()[]{}=+-/* ") or
+                (expr[i - 1] in "()[]{}=+-/* "))):
+            continue
+        expr2 = expr2 + expr[i]
+    expr2 = expr2 + expr[-1]
+    return expr2
+
+
+def markinnerspaces(line):
+    """
+    The function replace all spaces in the input variable line which are 
+    surrounded with quotation marks, with the triplet "@_@".
+
+    For instance, for the input "a 'b c'" the function returns "a 'b@_@c'"
+
+    Parameters
+    ----------
+    line : str
+
+    Returns
+    -------
+    str
+
+    """  
+    fragment = ''
+    inside = False
+    current_quote = None
+    escaped = ''
+    for c in line:
+        if escaped == '\\' and c in ['\\', '\'', '"']:
+            fragment += c
+            escaped = c
+            continue
+        if not inside and c in ['\'', '"']:
+            current_quote = c
+        if c == current_quote:
+            inside = not inside
+        elif c == ' ' and inside:
+            fragment += '@_@'
+            continue
+        fragment += c
+        escaped = c  # reset to non-backslash
+    return fragment
+
+
+def updatevars(typespec, selector, attrspec, entitydecl):
+    """
+    Returns last_name, the variable name without special chars, parenthesis
+        or dimension specifiers.
+
+    Alters groupcache to add the name, typespec, attrspec (and possibly value)
+    of current variable.
+    """
+    global groupcache, groupcounter
+
+    last_name = None
+    kindselect, charselect, typename = cracktypespec(typespec, selector)
+    # Clean up outer commas, whitespace and undesired chars from attrspec
+    if attrspec:
+        attrspec = [x.strip() for x in markoutercomma(attrspec).split('@,@')]
+        l = []
+        c = re.compile(r'(?P[a-zA-Z]+)')
+        for a in attrspec:
+            if not a:
+                continue
+            m = c.match(a)
+            if m:
+                s = m.group('start').lower()
+                a = s + a[len(s):]
+            l.append(a)
+        attrspec = l
+    el = [x.strip() for x in markoutercomma(entitydecl).split('@,@')]
+    el1 = []
+    for e in el:
+        for e1 in [x.strip() for x in markoutercomma(removespaces(markinnerspaces(e)), comma=' ').split('@ @')]:
+            if e1:
+                el1.append(e1.replace('@_@', ' '))
+    for e in el1:
+        m = namepattern.match(e)
+        if not m:
+            outmess(
+                'updatevars: no name pattern found for entity=%s. Skipping.\n' % (repr(e)))
+            continue
+        ename = rmbadname1(m.group('name'))
+        edecl = {}
+        if ename in groupcache[groupcounter]['vars']:
+            edecl = groupcache[groupcounter]['vars'][ename].copy()
+            not_has_typespec = 'typespec' not in edecl
+            if not_has_typespec:
+                edecl['typespec'] = typespec
+            elif typespec and (not typespec == edecl['typespec']):
+                outmess('updatevars: attempt to change the type of "%s" ("%s") to "%s". Ignoring.\n' % (
+                    ename, edecl['typespec'], typespec))
+            if 'kindselector' not in edecl:
+                edecl['kindselector'] = copy.copy(kindselect)
+            elif kindselect:
+                for k in list(kindselect.keys()):
+                    if k in edecl['kindselector'] and (not kindselect[k] == edecl['kindselector'][k]):
+                        outmess('updatevars: attempt to change the kindselector "%s" of "%s" ("%s") to "%s". Ignoring.\n' % (
+                            k, ename, edecl['kindselector'][k], kindselect[k]))
+                    else:
+                        edecl['kindselector'][k] = copy.copy(kindselect[k])
+            if 'charselector' not in edecl and charselect:
+                if not_has_typespec:
+                    edecl['charselector'] = charselect
+                else:
+                    errmess('updatevars:%s: attempt to change empty charselector to %r. Ignoring.\n'
+                            % (ename, charselect))
+            elif charselect:
+                for k in list(charselect.keys()):
+                    if k in edecl['charselector'] and (not charselect[k] == edecl['charselector'][k]):
+                        outmess('updatevars: attempt to change the charselector "%s" of "%s" ("%s") to "%s". Ignoring.\n' % (
+                            k, ename, edecl['charselector'][k], charselect[k]))
+                    else:
+                        edecl['charselector'][k] = copy.copy(charselect[k])
+            if 'typename' not in edecl:
+                edecl['typename'] = typename
+            elif typename and (not edecl['typename'] == typename):
+                outmess('updatevars: attempt to change the typename of "%s" ("%s") to "%s". Ignoring.\n' % (
+                    ename, edecl['typename'], typename))
+            if 'attrspec' not in edecl:
+                edecl['attrspec'] = copy.copy(attrspec)
+            elif attrspec:
+                for a in attrspec:
+                    if a not in edecl['attrspec']:
+                        edecl['attrspec'].append(a)
+        else:
+            edecl['typespec'] = copy.copy(typespec)
+            edecl['kindselector'] = copy.copy(kindselect)
+            edecl['charselector'] = copy.copy(charselect)
+            edecl['typename'] = typename
+            edecl['attrspec'] = copy.copy(attrspec)
+        if 'external' in (edecl.get('attrspec') or []) and e in groupcache[groupcounter]['args']:
+            if 'externals' not in groupcache[groupcounter]:
+                groupcache[groupcounter]['externals'] = []
+            groupcache[groupcounter]['externals'].append(e)
+        if m.group('after'):
+            m1 = lenarraypattern.match(markouterparen(m.group('after')))
+            if m1:
+                d1 = m1.groupdict()
+                for lk in ['len', 'array', 'init']:
+                    if d1[lk + '2'] is not None:
+                        d1[lk] = d1[lk + '2']
+                        del d1[lk + '2']
+                for k in list(d1.keys()):
+                    if d1[k] is not None:
+                        d1[k] = unmarkouterparen(d1[k])
+                    else:
+                        del d1[k]
+
+                if 'len' in d1 and 'array' in d1:
+                    if d1['len'] == '':
+                        d1['len'] = d1['array']
+                        del d1['array']
+                    elif typespec == 'character':
+                        if ('charselector' not in edecl) or (not edecl['charselector']):
+                            edecl['charselector'] = {}
+                        if 'len' in edecl['charselector']:
+                            del edecl['charselector']['len']
+                        edecl['charselector']['*'] = d1['len']
+                        del d1['len']
+                    else:
+                        d1['array'] = d1['array'] + ',' + d1['len']
+                        del d1['len']
+                        errmess('updatevars: "%s %s" is mapped to "%s %s(%s)"\n' % (
+                            typespec, e, typespec, ename, d1['array']))
+
+                if 'len' in d1:
+                    if typespec in ['complex', 'integer', 'logical', 'real']:
+                        if ('kindselector' not in edecl) or (not edecl['kindselector']):
+                            edecl['kindselector'] = {}
+                        edecl['kindselector']['*'] = d1['len']
+                        del d1['len']
+                    elif typespec == 'character':
+                        if ('charselector' not in edecl) or (not edecl['charselector']):
+                            edecl['charselector'] = {}
+                        if 'len' in edecl['charselector']:
+                            del edecl['charselector']['len']
+                        edecl['charselector']['*'] = d1['len']
+                        del d1['len']
+
+                if 'init' in d1:
+                    if '=' in edecl and (not edecl['='] == d1['init']):
+                        outmess('updatevars: attempt to change the init expression of "%s" ("%s") to "%s". Ignoring.\n' % (
+                            ename, edecl['='], d1['init']))
+                    else:
+                        edecl['='] = d1['init']
+
+                if 'array' in d1:
+                    dm = 'dimension(%s)' % d1['array']
+                    if 'attrspec' not in edecl or (not edecl['attrspec']):
+                        edecl['attrspec'] = [dm]
+                    else:
+                        edecl['attrspec'].append(dm)
+                        for dm1 in edecl['attrspec']:
+                            if dm1[:9] == 'dimension' and dm1 != dm:
+                                del edecl['attrspec'][-1]
+                                errmess('updatevars:%s: attempt to change %r to %r. Ignoring.\n'
+                                        % (ename, dm1, dm))
+                                break
+
+            else:
+                outmess('updatevars: could not crack entity declaration "%s". Ignoring.\n' % (
+                    ename + m.group('after')))
+        for k in list(edecl.keys()):
+            if not edecl[k]:
+                del edecl[k]
+        groupcache[groupcounter]['vars'][ename] = edecl
+        if 'varnames' in groupcache[groupcounter]:
+            groupcache[groupcounter]['varnames'].append(ename)
+        last_name = ename
+    return last_name
+
+
+def cracktypespec(typespec, selector):
+    kindselect = None
+    charselect = None
+    typename = None
+    if selector:
+        if typespec in ['complex', 'integer', 'logical', 'real']:
+            kindselect = kindselector.match(selector)
+            if not kindselect:
+                outmess(
+                    'cracktypespec: no kindselector pattern found for %s\n' % (repr(selector)))
+                return
+            kindselect = kindselect.groupdict()
+            kindselect['*'] = kindselect['kind2']
+            del kindselect['kind2']
+            for k in list(kindselect.keys()):
+                if not kindselect[k]:
+                    del kindselect[k]
+            for k, i in list(kindselect.items()):
+                kindselect[k] = rmbadname1(i)
+        elif typespec == 'character':
+            charselect = charselector.match(selector)
+            if not charselect:
+                outmess(
+                    'cracktypespec: no charselector pattern found for %s\n' % (repr(selector)))
+                return
+            charselect = charselect.groupdict()
+            charselect['*'] = charselect['charlen']
+            del charselect['charlen']
+            if charselect['lenkind']:
+                lenkind = lenkindpattern.match(
+                    markoutercomma(charselect['lenkind']))
+                lenkind = lenkind.groupdict()
+                for lk in ['len', 'kind']:
+                    if lenkind[lk + '2']:
+                        lenkind[lk] = lenkind[lk + '2']
+                    charselect[lk] = lenkind[lk]
+                    del lenkind[lk + '2']
+                if lenkind['f2py_len'] is not None:
+                    # used to specify the length of assumed length strings
+                    charselect['f2py_len'] = lenkind['f2py_len']
+            del charselect['lenkind']
+            for k in list(charselect.keys()):
+                if not charselect[k]:
+                    del charselect[k]
+            for k, i in list(charselect.items()):
+                charselect[k] = rmbadname1(i)
+        elif typespec == 'type':
+            typename = re.match(r'\s*\(\s*(?P\w+)\s*\)', selector, re.I)
+            if typename:
+                typename = typename.group('name')
+            else:
+                outmess('cracktypespec: no typename found in %s\n' %
+                        (repr(typespec + selector)))
+        else:
+            outmess('cracktypespec: no selector used for %s\n' %
+                    (repr(selector)))
+    return kindselect, charselect, typename
+######
+
+
+def setattrspec(decl, attr, force=0):
+    if not decl:
+        decl = {}
+    if not attr:
+        return decl
+    if 'attrspec' not in decl:
+        decl['attrspec'] = [attr]
+        return decl
+    if force:
+        decl['attrspec'].append(attr)
+    if attr in decl['attrspec']:
+        return decl
+    if attr == 'static' and 'automatic' not in decl['attrspec']:
+        decl['attrspec'].append(attr)
+    elif attr == 'automatic' and 'static' not in decl['attrspec']:
+        decl['attrspec'].append(attr)
+    elif attr == 'public':
+        if 'private' not in decl['attrspec']:
+            decl['attrspec'].append(attr)
+    elif attr == 'private':
+        if 'public' not in decl['attrspec']:
+            decl['attrspec'].append(attr)
+    else:
+        decl['attrspec'].append(attr)
+    return decl
+
+
+def setkindselector(decl, sel, force=0):
+    if not decl:
+        decl = {}
+    if not sel:
+        return decl
+    if 'kindselector' not in decl:
+        decl['kindselector'] = sel
+        return decl
+    for k in list(sel.keys()):
+        if force or k not in decl['kindselector']:
+            decl['kindselector'][k] = sel[k]
+    return decl
+
+
+def setcharselector(decl, sel, force=0):
+    if not decl:
+        decl = {}
+    if not sel:
+        return decl
+    if 'charselector' not in decl:
+        decl['charselector'] = sel
+        return decl
+
+    for k in list(sel.keys()):
+        if force or k not in decl['charselector']:
+            decl['charselector'][k] = sel[k]
+    return decl
+
+
+def getblockname(block, unknown='unknown'):
+    if 'name' in block:
+        return block['name']
+    return unknown
+
+# post processing
+
+
+def setmesstext(block):
+    global filepositiontext
+
+    try:
+        filepositiontext = 'In: %s:%s\n' % (block['from'], block['name'])
+    except Exception:
+        pass
+
+
+def get_usedict(block):
+    usedict = {}
+    if 'parent_block' in block:
+        usedict = get_usedict(block['parent_block'])
+    if 'use' in block:
+        usedict.update(block['use'])
+    return usedict
+
+
+def get_useparameters(block, param_map=None):
+    global f90modulevars
+
+    if param_map is None:
+        param_map = {}
+    usedict = get_usedict(block)
+    if not usedict:
+        return param_map
+    for usename, mapping in list(usedict.items()):
+        usename = usename.lower()
+        if usename not in f90modulevars:
+            outmess('get_useparameters: no module %s info used by %s\n' %
+                    (usename, block.get('name')))
+            continue
+        mvars = f90modulevars[usename]
+        params = get_parameters(mvars)
+        if not params:
+            continue
+        # XXX: apply mapping
+        if mapping:
+            errmess('get_useparameters: mapping for %s not impl.\n' % (mapping))
+        for k, v in list(params.items()):
+            if k in param_map:
+                outmess('get_useparameters: overriding parameter %s with'
+                        ' value from module %s\n' % (repr(k), repr(usename)))
+            param_map[k] = v
+
+    return param_map
+
+
+def postcrack2(block, tab='', param_map=None):
+    global f90modulevars
+
+    if not f90modulevars:
+        return block
+    if isinstance(block, list):
+        ret = [postcrack2(g, tab=tab + '\t', param_map=param_map)
+               for g in block]
+        return ret
+    setmesstext(block)
+    outmess('%sBlock: %s\n' % (tab, block['name']), 0)
+
+    if param_map is None:
+        param_map = get_useparameters(block)
+
+    if param_map is not None and 'vars' in block:
+        vars = block['vars']
+        for n in list(vars.keys()):
+            var = vars[n]
+            if 'kindselector' in var:
+                kind = var['kindselector']
+                if 'kind' in kind:
+                    val = kind['kind']
+                    if val in param_map:
+                        kind['kind'] = param_map[val]
+    new_body = [postcrack2(b, tab=tab + '\t', param_map=param_map)
+                for b in block['body']]
+    block['body'] = new_body
+
+    return block
+
+
+def postcrack(block, args=None, tab=''):
+    """
+    TODO:
+          function return values
+          determine expression types if in argument list
+    """
+    global usermodules, onlyfunctions
+
+    if isinstance(block, list):
+        gret = []
+        uret = []
+        for g in block:
+            setmesstext(g)
+            g = postcrack(g, tab=tab + '\t')
+            # sort user routines to appear first
+            if 'name' in g and '__user__' in g['name']:
+                uret.append(g)
+            else:
+                gret.append(g)
+        return uret + gret
+    setmesstext(block)
+    if not isinstance(block, dict) and 'block' not in block:
+        raise Exception('postcrack: Expected block dictionary instead of ' +
+                        str(block))
+    if 'name' in block and not block['name'] == 'unknown_interface':
+        outmess('%sBlock: %s\n' % (tab, block['name']), 0)
+    block = analyzeargs(block)
+    block = analyzecommon(block)
+    block['vars'] = analyzevars(block)
+    block['sortvars'] = sortvarnames(block['vars'])
+    if block.get('args'):
+        args = block['args']
+    block['body'] = analyzebody(block, args, tab=tab)
+
+    userisdefined = []
+    if 'use' in block:
+        useblock = block['use']
+        for k in list(useblock.keys()):
+            if '__user__' in k:
+                userisdefined.append(k)
+    else:
+        useblock = {}
+    name = ''
+    if 'name' in block:
+        name = block['name']
+    # and not userisdefined: # Build a __user__ module
+    if block.get('externals'):
+        interfaced = []
+        if 'interfaced' in block:
+            interfaced = block['interfaced']
+        mvars = copy.copy(block['vars'])
+        if name:
+            mname = name + '__user__routines'
+        else:
+            mname = 'unknown__user__routines'
+        if mname in userisdefined:
+            i = 1
+            while '%s_%i' % (mname, i) in userisdefined:
+                i = i + 1
+            mname = '%s_%i' % (mname, i)
+        interface = {'block': 'interface', 'body': [],
+                     'vars': {}, 'name': name + '_user_interface'}
+        for e in block['externals']:
+            if e in interfaced:
+                edef = []
+                j = -1
+                for b in block['body']:
+                    j = j + 1
+                    if b['block'] == 'interface':
+                        i = -1
+                        for bb in b['body']:
+                            i = i + 1
+                            if 'name' in bb and bb['name'] == e:
+                                edef = copy.copy(bb)
+                                del b['body'][i]
+                                break
+                        if edef:
+                            if not b['body']:
+                                del block['body'][j]
+                            del interfaced[interfaced.index(e)]
+                            break
+                interface['body'].append(edef)
+            else:
+                if e in mvars and not isexternal(mvars[e]):
+                    interface['vars'][e] = mvars[e]
+        if interface['vars'] or interface['body']:
+            block['interfaced'] = interfaced
+            mblock = {'block': 'python module', 'body': [
+                interface], 'vars': {}, 'name': mname, 'interfaced': block['externals']}
+            useblock[mname] = {}
+            usermodules.append(mblock)
+    if useblock:
+        block['use'] = useblock
+    return block
+
+
+def sortvarnames(vars):
+    indep = []
+    dep = []
+    for v in list(vars.keys()):
+        if 'depend' in vars[v] and vars[v]['depend']:
+            dep.append(v)
+        else:
+            indep.append(v)
+    n = len(dep)
+    i = 0
+    while dep:  # XXX: How to catch dependence cycles correctly?
+        v = dep[0]
+        fl = 0
+        for w in dep[1:]:
+            if w in vars[v]['depend']:
+                fl = 1
+                break
+        if fl:
+            dep = dep[1:] + [v]
+            i = i + 1
+            if i > n:
+                errmess('sortvarnames: failed to compute dependencies because'
+                        ' of cyclic dependencies between '
+                        + ', '.join(dep) + '\n')
+                indep = indep + dep
+                break
+        else:
+            indep.append(v)
+            dep = dep[1:]
+            n = len(dep)
+            i = 0
+    return indep
+
+
+def analyzecommon(block):
+    if not hascommon(block):
+        return block
+    commonvars = []
+    for k in list(block['common'].keys()):
+        comvars = []
+        for e in block['common'][k]:
+            m = re.match(
+                r'\A\s*\b(?P.*?)\b\s*(\((?P.*?)\)|)\s*\Z', e, re.I)
+            if m:
+                dims = []
+                if m.group('dims'):
+                    dims = [x.strip()
+                            for x in markoutercomma(m.group('dims')).split('@,@')]
+                n = rmbadname1(m.group('name').strip())
+                if n in block['vars']:
+                    if 'attrspec' in block['vars'][n]:
+                        block['vars'][n]['attrspec'].append(
+                            'dimension(%s)' % (','.join(dims)))
+                    else:
+                        block['vars'][n]['attrspec'] = [
+                            'dimension(%s)' % (','.join(dims))]
+                else:
+                    if dims:
+                        block['vars'][n] = {
+                            'attrspec': ['dimension(%s)' % (','.join(dims))]}
+                    else:
+                        block['vars'][n] = {}
+                if n not in commonvars:
+                    commonvars.append(n)
+            else:
+                n = e
+                errmess(
+                    'analyzecommon: failed to extract "[()]" from "%s" in common /%s/.\n' % (e, k))
+            comvars.append(n)
+        block['common'][k] = comvars
+    if 'commonvars' not in block:
+        block['commonvars'] = commonvars
+    else:
+        block['commonvars'] = block['commonvars'] + commonvars
+    return block
+
+
+def analyzebody(block, args, tab=''):
+    global usermodules, skipfuncs, onlyfuncs, f90modulevars
+
+    setmesstext(block)
+
+    maybe_private = {
+        key: value
+        for key, value in block['vars'].items()
+        if 'attrspec' not in value or 'public' not in value['attrspec']
+    }
+
+    body = []
+    for b in block['body']:
+        b['parent_block'] = block
+        if b['block'] in ['function', 'subroutine']:
+            if args is not None and b['name'] not in args:
+                continue
+            else:
+                as_ = b['args']
+            # Add private members to skipfuncs for gh-23879
+            if b['name'] in maybe_private.keys():
+                skipfuncs.append(b['name'])
+            if b['name'] in skipfuncs:
+                continue
+            if onlyfuncs and b['name'] not in onlyfuncs:
+                continue
+            b['saved_interface'] = crack2fortrangen(
+                b, '\n' + ' ' * 6, as_interface=True)
+
+        else:
+            as_ = args
+        b = postcrack(b, as_, tab=tab + '\t')
+        if b['block'] in ['interface', 'abstract interface'] and \
+           not b['body'] and not b.get('implementedby'):
+            if 'f2pyenhancements' not in b:
+                continue
+        if b['block'].replace(' ', '') == 'pythonmodule':
+            usermodules.append(b)
+        else:
+            if b['block'] == 'module':
+                f90modulevars[b['name']] = b['vars']
+            body.append(b)
+    return body
+
+
+def buildimplicitrules(block):
+    setmesstext(block)
+    implicitrules = defaultimplicitrules
+    attrrules = {}
+    if 'implicit' in block:
+        if block['implicit'] is None:
+            implicitrules = None
+            if verbose > 1:
+                outmess(
+                    'buildimplicitrules: no implicit rules for routine %s.\n' % repr(block['name']))
+        else:
+            for k in list(block['implicit'].keys()):
+                if block['implicit'][k].get('typespec') not in ['static', 'automatic']:
+                    implicitrules[k] = block['implicit'][k]
+                else:
+                    attrrules[k] = block['implicit'][k]['typespec']
+    return implicitrules, attrrules
+
+
+def myeval(e, g=None, l=None):
+    """ Like `eval` but returns only integers and floats """
+    r = eval(e, g, l)
+    if type(r) in [int, float]:
+        return r
+    raise ValueError('r=%r' % (r))
+
+getlincoef_re_1 = re.compile(r'\A\b\w+\b\Z', re.I)
+
+
+def getlincoef(e, xset):  # e = a*x+b ; x in xset
+    """
+    Obtain ``a`` and ``b`` when ``e == "a*x+b"``, where ``x`` is a symbol in
+    xset.
+
+    >>> getlincoef('2*x + 1', {'x'})
+    (2, 1, 'x')
+    >>> getlincoef('3*x + x*2 + 2 + 1', {'x'})
+    (5, 3, 'x')
+    >>> getlincoef('0', {'x'})
+    (0, 0, None)
+    >>> getlincoef('0*x', {'x'})
+    (0, 0, 'x')
+    >>> getlincoef('x*x', {'x'})
+    (None, None, None)
+
+    This can be tricked by sufficiently complex expressions
+
+    >>> getlincoef('(x - 0.5)*(x - 1.5)*(x - 1)*x + 2*x + 3', {'x'})
+    (2.0, 3.0, 'x')
+    """
+    try:
+        c = int(myeval(e, {}, {}))
+        return 0, c, None
+    except Exception:
+        pass
+    if getlincoef_re_1.match(e):
+        return 1, 0, e
+    len_e = len(e)
+    for x in xset:
+        if len(x) > len_e:
+            continue
+        if re.search(r'\w\s*\([^)]*\b' + x + r'\b', e):
+            # skip function calls having x as an argument, e.g max(1, x)
+            continue
+        re_1 = re.compile(r'(?P.*?)\b' + x + r'\b(?P.*)', re.I)
+        m = re_1.match(e)
+        if m:
+            try:
+                m1 = re_1.match(e)
+                while m1:
+                    ee = '%s(%s)%s' % (
+                        m1.group('before'), 0, m1.group('after'))
+                    m1 = re_1.match(ee)
+                b = myeval(ee, {}, {})
+                m1 = re_1.match(e)
+                while m1:
+                    ee = '%s(%s)%s' % (
+                        m1.group('before'), 1, m1.group('after'))
+                    m1 = re_1.match(ee)
+                a = myeval(ee, {}, {}) - b
+                m1 = re_1.match(e)
+                while m1:
+                    ee = '%s(%s)%s' % (
+                        m1.group('before'), 0.5, m1.group('after'))
+                    m1 = re_1.match(ee)
+                c = myeval(ee, {}, {})
+                # computing another point to be sure that expression is linear
+                m1 = re_1.match(e)
+                while m1:
+                    ee = '%s(%s)%s' % (
+                        m1.group('before'), 1.5, m1.group('after'))
+                    m1 = re_1.match(ee)
+                c2 = myeval(ee, {}, {})
+                if (a * 0.5 + b == c and a * 1.5 + b == c2):
+                    return a, b, x
+            except Exception:
+                pass
+            break
+    return None, None, None
+
+
+word_pattern = re.compile(r'\b[a-z][\w$]*\b', re.I)
+
+
+def _get_depend_dict(name, vars, deps):
+    if name in vars:
+        words = vars[name].get('depend', [])
+
+        if '=' in vars[name] and not isstring(vars[name]):
+            for word in word_pattern.findall(vars[name]['=']):
+                # The word_pattern may return values that are not
+                # only variables, they can be string content for instance
+                if word not in words and word in vars and word != name:
+                    words.append(word)
+        for word in words[:]:
+            for w in deps.get(word, []) \
+                    or _get_depend_dict(word, vars, deps):
+                if w not in words:
+                    words.append(w)
+    else:
+        outmess('_get_depend_dict: no dependence info for %s\n' % (repr(name)))
+        words = []
+    deps[name] = words
+    return words
+
+
+def _calc_depend_dict(vars):
+    names = list(vars.keys())
+    depend_dict = {}
+    for n in names:
+        _get_depend_dict(n, vars, depend_dict)
+    return depend_dict
+
+
+def get_sorted_names(vars):
+    depend_dict = _calc_depend_dict(vars)
+    names = []
+    for name in list(depend_dict.keys()):
+        if not depend_dict[name]:
+            names.append(name)
+            del depend_dict[name]
+    while depend_dict:
+        for name, lst in list(depend_dict.items()):
+            new_lst = [n for n in lst if n in depend_dict]
+            if not new_lst:
+                names.append(name)
+                del depend_dict[name]
+            else:
+                depend_dict[name] = new_lst
+    return [name for name in names if name in vars]
+
+
+def _kind_func(string):
+    # XXX: return something sensible.
+    if string[0] in "'\"":
+        string = string[1:-1]
+    if real16pattern.match(string):
+        return 8
+    elif real8pattern.match(string):
+        return 4
+    return 'kind(' + string + ')'
+
+
+def _selected_int_kind_func(r):
+    # XXX: This should be processor dependent
+    m = 10 ** r
+    if m <= 2 ** 8:
+        return 1
+    if m <= 2 ** 16:
+        return 2
+    if m <= 2 ** 32:
+        return 4
+    if m <= 2 ** 63:
+        return 8
+    if m <= 2 ** 128:
+        return 16
+    return -1
+
+
+def _selected_real_kind_func(p, r=0, radix=0):
+    # XXX: This should be processor dependent
+    # This is only verified for 0 <= p <= 20, possibly good for p <= 33 and above
+    if p < 7:
+        return 4
+    if p < 16:
+        return 8
+    machine = platform.machine().lower()
+    if machine.startswith(('aarch64', 'alpha', 'arm64', 'loongarch', 'mips', 'power', 'ppc', 'riscv', 's390x', 'sparc')):
+        if p <= 33:
+            return 16
+    else:
+        if p < 19:
+            return 10
+        elif p <= 33:
+            return 16
+    return -1
+
+
+def get_parameters(vars, global_params={}):
+    params = copy.copy(global_params)
+    g_params = copy.copy(global_params)
+    for name, func in [('kind', _kind_func),
+                       ('selected_int_kind', _selected_int_kind_func),
+                       ('selected_real_kind', _selected_real_kind_func), ]:
+        if name not in g_params:
+            g_params[name] = func
+    param_names = []
+    for n in get_sorted_names(vars):
+        if 'attrspec' in vars[n] and 'parameter' in vars[n]['attrspec']:
+            param_names.append(n)
+    kind_re = re.compile(r'\bkind\s*\(\s*(?P.*)\s*\)', re.I)
+    selected_int_kind_re = re.compile(
+        r'\bselected_int_kind\s*\(\s*(?P.*)\s*\)', re.I)
+    selected_kind_re = re.compile(
+        r'\bselected_(int|real)_kind\s*\(\s*(?P.*)\s*\)', re.I)
+    for n in param_names:
+        if '=' in vars[n]:
+            v = vars[n]['=']
+            if islogical(vars[n]):
+                v = v.lower()
+                for repl in [
+                    ('.false.', 'False'),
+                    ('.true.', 'True'),
+                    # TODO: test .eq., .neq., etc replacements.
+                ]:
+                    v = v.replace(*repl)
+
+            v = kind_re.sub(r'kind("\1")', v)
+            v = selected_int_kind_re.sub(r'selected_int_kind(\1)', v)
+
+            # We need to act according to the data.
+            # The easy case is if the data has a kind-specifier,
+            # then we may easily remove those specifiers.
+            # However, it may be that the user uses other specifiers...(!)
+            is_replaced = False
+
+            if 'kindselector' in vars[n]:
+                # Remove kind specifier (including those defined
+                # by parameters)
+                if 'kind' in vars[n]['kindselector']:
+                    orig_v_len = len(v)
+                    v = v.replace('_' + vars[n]['kindselector']['kind'], '')
+                    # Again, this will be true if even a single specifier
+                    # has been replaced, see comment above.
+                    is_replaced = len(v) < orig_v_len
+
+            if not is_replaced:
+                if not selected_kind_re.match(v):
+                    v_ = v.split('_')
+                    # In case there are additive parameters
+                    if len(v_) > 1: 
+                        v = ''.join(v_[:-1]).lower().replace(v_[-1].lower(), '')
+
+            # Currently this will not work for complex numbers.
+            # There is missing code for extracting a complex number,
+            # which may be defined in either of these:
+            #  a) (Re, Im)
+            #  b) cmplx(Re, Im)
+            #  c) dcmplx(Re, Im)
+            #  d) cmplx(Re, Im, )
+
+            if isdouble(vars[n]):
+                tt = list(v)
+                for m in real16pattern.finditer(v):
+                    tt[m.start():m.end()] = list(
+                        v[m.start():m.end()].lower().replace('d', 'e'))
+                v = ''.join(tt)
+
+            elif iscomplex(vars[n]):
+                outmess(f'get_parameters[TODO]: '
+                        f'implement evaluation of complex expression {v}\n')
+
+            dimspec = ([s.removeprefix('dimension').strip()
+                        for s in vars[n]['attrspec']
+                       if s.startswith('dimension')] or [None])[0]
+
+            # Handle _dp for gh-6624
+            # Also fixes gh-20460
+            if real16pattern.search(v):
+                v = 8
+            elif real8pattern.search(v):
+                v = 4
+            try:
+                params[n] = param_eval(v, g_params, params, dimspec=dimspec)
+            except Exception as msg:
+                params[n] = v
+                outmess(f'get_parameters: got "{msg}" on {n!r}\n')
+
+            if isstring(vars[n]) and isinstance(params[n], int):
+                params[n] = chr(params[n])
+            nl = n.lower()
+            if nl != n:
+                params[nl] = params[n]
+        else:
+            print(vars[n])
+            outmess(f'get_parameters:parameter {n!r} does not have value?!\n')
+    return params
+
+
+def _eval_length(length, params):
+    if length in ['(:)', '(*)', '*']:
+        return '(*)'
+    return _eval_scalar(length, params)
+
+
+_is_kind_number = re.compile(r'\d+_').match
+
+
+def _eval_scalar(value, params):
+    if _is_kind_number(value):
+        value = value.split('_')[0]
+    try:
+        # TODO: use symbolic from PR #19805
+        value = eval(value, {}, params)
+        value = (repr if isinstance(value, str) else str)(value)
+    except (NameError, SyntaxError, TypeError):
+        return value
+    except Exception as msg:
+        errmess('"%s" in evaluating %r '
+                '(available names: %s)\n'
+                % (msg, value, list(params.keys())))
+    return value
+
+
+def analyzevars(block):
+    """
+    Sets correct dimension information for each variable/parameter
+    """
+
+    global f90modulevars
+
+    setmesstext(block)
+    implicitrules, attrrules = buildimplicitrules(block)
+    vars = copy.copy(block['vars'])
+    if block['block'] == 'function' and block['name'] not in vars:
+        vars[block['name']] = {}
+    if '' in block['vars']:
+        del vars['']
+        if 'attrspec' in block['vars']['']:
+            gen = block['vars']['']['attrspec']
+            for n in set(vars) | set(b['name'] for b in block['body']):
+                for k in ['public', 'private']:
+                    if k in gen:
+                        vars[n] = setattrspec(vars.get(n, {}), k)
+    svars = []
+    args = block['args']
+    for a in args:
+        try:
+            vars[a]
+            svars.append(a)
+        except KeyError:
+            pass
+    for n in list(vars.keys()):
+        if n not in args:
+            svars.append(n)
+
+    params = get_parameters(vars, get_useparameters(block))
+    # At this point, params are read and interpreted, but
+    # the params used to define vars are not yet parsed
+    dep_matches = {}
+    name_match = re.compile(r'[A-Za-z][\w$]*').match
+    for v in list(vars.keys()):
+        m = name_match(v)
+        if m:
+            n = v[m.start():m.end()]
+            try:
+                dep_matches[n]
+            except KeyError:
+                dep_matches[n] = re.compile(r'.*\b%s\b' % (v), re.I).match
+    for n in svars:
+        if n[0] in list(attrrules.keys()):
+            vars[n] = setattrspec(vars[n], attrrules[n[0]])
+        if 'typespec' not in vars[n]:
+            if not('attrspec' in vars[n] and 'external' in vars[n]['attrspec']):
+                if implicitrules:
+                    ln0 = n[0].lower()
+                    for k in list(implicitrules[ln0].keys()):
+                        if k == 'typespec' and implicitrules[ln0][k] == 'undefined':
+                            continue
+                        if k not in vars[n]:
+                            vars[n][k] = implicitrules[ln0][k]
+                        elif k == 'attrspec':
+                            for l in implicitrules[ln0][k]:
+                                vars[n] = setattrspec(vars[n], l)
+                elif n in block['args']:
+                    outmess('analyzevars: typespec of variable %s is not defined in routine %s.\n' % (
+                        repr(n), block['name']))
+        if 'charselector' in vars[n]:
+            if 'len' in vars[n]['charselector']:
+                l = vars[n]['charselector']['len']
+                try:
+                    l = str(eval(l, {}, params))
+                except Exception:
+                    pass
+                vars[n]['charselector']['len'] = l
+
+        if 'kindselector' in vars[n]:
+            if 'kind' in vars[n]['kindselector']:
+                l = vars[n]['kindselector']['kind']
+                try:
+                    l = str(eval(l, {}, params))
+                except Exception:
+                    pass
+                vars[n]['kindselector']['kind'] = l
+
+        dimension_exprs = {}
+        if 'attrspec' in vars[n]:
+            attr = vars[n]['attrspec']
+            attr.reverse()
+            vars[n]['attrspec'] = []
+            dim, intent, depend, check, note = None, None, None, None, None
+            for a in attr:
+                if a[:9] == 'dimension':
+                    dim = (a[9:].strip())[1:-1]
+                elif a[:6] == 'intent':
+                    intent = (a[6:].strip())[1:-1]
+                elif a[:6] == 'depend':
+                    depend = (a[6:].strip())[1:-1]
+                elif a[:5] == 'check':
+                    check = (a[5:].strip())[1:-1]
+                elif a[:4] == 'note':
+                    note = (a[4:].strip())[1:-1]
+                else:
+                    vars[n] = setattrspec(vars[n], a)
+                if intent:
+                    if 'intent' not in vars[n]:
+                        vars[n]['intent'] = []
+                    for c in [x.strip() for x in markoutercomma(intent).split('@,@')]:
+                        # Remove spaces so that 'in out' becomes 'inout'
+                        tmp = c.replace(' ', '')
+                        if tmp not in vars[n]['intent']:
+                            vars[n]['intent'].append(tmp)
+                    intent = None
+                if note:
+                    note = note.replace('\\n\\n', '\n\n')
+                    note = note.replace('\\n ', '\n')
+                    if 'note' not in vars[n]:
+                        vars[n]['note'] = [note]
+                    else:
+                        vars[n]['note'].append(note)
+                    note = None
+                if depend is not None:
+                    if 'depend' not in vars[n]:
+                        vars[n]['depend'] = []
+                    for c in rmbadname([x.strip() for x in markoutercomma(depend).split('@,@')]):
+                        if c not in vars[n]['depend']:
+                            vars[n]['depend'].append(c)
+                    depend = None
+                if check is not None:
+                    if 'check' not in vars[n]:
+                        vars[n]['check'] = []
+                    for c in [x.strip() for x in markoutercomma(check).split('@,@')]:
+                        if c not in vars[n]['check']:
+                            vars[n]['check'].append(c)
+                    check = None
+            if dim and 'dimension' not in vars[n]:
+                vars[n]['dimension'] = []
+                for d in rmbadname(
+                        [x.strip() for x in markoutercomma(dim).split('@,@')]
+                ):
+                    # d is the expression inside the dimension declaration
+                    # Evaluate `d` with respect to params
+                    try:
+                        # the dimension for this variable depends on a
+                        # previously defined parameter
+                        d = param_parse(d, params)
+                    except (ValueError, IndexError, KeyError):
+                        outmess(
+                            'analyzevars: could not parse dimension for '
+                            f'variable {d!r}\n'
+                        )
+
+                    dim_char = ':' if d == ':' else '*'
+                    if d == dim_char:
+                        dl = [dim_char]
+                    else:
+                        dl = markoutercomma(d, ':').split('@:@')
+                    if len(dl) == 2 and '*' in dl:  # e.g. dimension(5:*)
+                        dl = ['*']
+                        d = '*'
+                    if len(dl) == 1 and dl[0] != dim_char:
+                        dl = ['1', dl[0]]
+                    if len(dl) == 2:
+                        d1, d2 = map(symbolic.Expr.parse, dl)
+                        dsize = d2 - d1 + 1
+                        d = dsize.tostring(language=symbolic.Language.C)
+                        # find variables v that define d as a linear
+                        # function, `d == a * v + b`, and store
+                        # coefficients a and b for further analysis.
+                        solver_and_deps = {}
+                        for v in block['vars']:
+                            s = symbolic.as_symbol(v)
+                            if dsize.contains(s):
+                                try:
+                                    a, b = dsize.linear_solve(s)
+
+                                    def solve_v(s, a=a, b=b):
+                                        return (s - b) / a
+
+                                    all_symbols = set(a.symbols())
+                                    all_symbols.update(b.symbols())
+                                except RuntimeError as msg:
+                                    # d is not a linear function of v,
+                                    # however, if v can be determined
+                                    # from d using other means,
+                                    # implement the corresponding
+                                    # solve_v function here.
+                                    solve_v = None
+                                    all_symbols = set(dsize.symbols())
+                                v_deps = set(
+                                    s.data for s in all_symbols
+                                    if s.data in vars)
+                                solver_and_deps[v] = solve_v, list(v_deps)
+                        # Note that dsize may contain symbols that are
+                        # not defined in block['vars']. Here we assume
+                        # these correspond to Fortran/C intrinsic
+                        # functions or that are defined by other
+                        # means. We'll let the compiler validate the
+                        # definiteness of such symbols.
+                        dimension_exprs[d] = solver_and_deps
+                    vars[n]['dimension'].append(d)
+
+        if 'check' not in vars[n] and 'args' in block and n in block['args']:
+            # n is an argument that has no checks defined. Here we
+            # generate some consistency checks for n, and when n is an
+            # array, generate checks for its dimensions and construct
+            # initialization expressions.
+            n_deps = vars[n].get('depend', [])
+            n_checks = []
+            n_is_input = l_or(isintent_in, isintent_inout,
+                              isintent_inplace)(vars[n])
+            if isarray(vars[n]):  # n is array
+                for i, d in enumerate(vars[n]['dimension']):
+                    coeffs_and_deps = dimension_exprs.get(d)
+                    if coeffs_and_deps is None:
+                        # d is `:` or `*` or a constant expression
+                        pass
+                    elif n_is_input:
+                        # n is an input array argument and its shape
+                        # may define variables used in dimension
+                        # specifications.
+                        for v, (solver, deps) in coeffs_and_deps.items():
+                            def compute_deps(v, deps):
+                                for v1 in coeffs_and_deps.get(v, [None, []])[1]:
+                                    if v1 not in deps:
+                                        deps.add(v1)
+                                        compute_deps(v1, deps)
+                            all_deps = set()
+                            compute_deps(v, all_deps)
+                            if (v in n_deps
+                                 or '=' in vars[v]
+                                 or 'depend' in vars[v]):
+                                # Skip a variable that
+                                # - n depends on
+                                # - has user-defined initialization expression
+                                # - has user-defined dependencies
+                                continue
+                            if solver is not None and v not in all_deps:
+                                # v can be solved from d, hence, we
+                                # make it an optional argument with
+                                # initialization expression:
+                                is_required = False
+                                init = solver(symbolic.as_symbol(
+                                    f'shape({n}, {i})'))
+                                init = init.tostring(
+                                    language=symbolic.Language.C)
+                                vars[v]['='] = init
+                                # n needs to be initialized before v. So,
+                                # making v dependent on n and on any
+                                # variables in solver or d.
+                                vars[v]['depend'] = [n] + deps
+                                if 'check' not in vars[v]:
+                                    # add check only when no
+                                    # user-specified checks exist
+                                    vars[v]['check'] = [
+                                        f'shape({n}, {i}) == {d}']
+                            else:
+                                # d is a non-linear function on v,
+                                # hence, v must be a required input
+                                # argument that n will depend on
+                                is_required = True
+                                if 'intent' not in vars[v]:
+                                    vars[v]['intent'] = []
+                                if 'in' not in vars[v]['intent']:
+                                    vars[v]['intent'].append('in')
+                                # v needs to be initialized before n
+                                n_deps.append(v)
+                                n_checks.append(
+                                    f'shape({n}, {i}) == {d}')
+                            v_attr = vars[v].get('attrspec', [])
+                            if not ('optional' in v_attr
+                                    or 'required' in v_attr):
+                                v_attr.append(
+                                    'required' if is_required else 'optional')
+                            if v_attr:
+                                vars[v]['attrspec'] = v_attr
+                    if coeffs_and_deps is not None:
+                        # extend v dependencies with ones specified in attrspec
+                        for v, (solver, deps) in coeffs_and_deps.items():
+                            v_deps = vars[v].get('depend', [])
+                            for aa in vars[v].get('attrspec', []):
+                                if aa.startswith('depend'):
+                                    aa = ''.join(aa.split())
+                                    v_deps.extend(aa[7:-1].split(','))
+                            if v_deps:
+                                vars[v]['depend'] = list(set(v_deps))
+                            if n not in v_deps:
+                                n_deps.append(v)
+            elif isstring(vars[n]):
+                if 'charselector' in vars[n]:
+                    if '*' in vars[n]['charselector']:
+                        length = _eval_length(vars[n]['charselector']['*'],
+                                              params)
+                        vars[n]['charselector']['*'] = length
+                    elif 'len' in vars[n]['charselector']:
+                        length = _eval_length(vars[n]['charselector']['len'],
+                                              params)
+                        del vars[n]['charselector']['len']
+                        vars[n]['charselector']['*'] = length
+            if n_checks:
+                vars[n]['check'] = n_checks
+            if n_deps:
+                vars[n]['depend'] = list(set(n_deps))
+
+        if '=' in vars[n]:
+            if 'attrspec' not in vars[n]:
+                vars[n]['attrspec'] = []
+            if ('optional' not in vars[n]['attrspec']) and \
+               ('required' not in vars[n]['attrspec']):
+                vars[n]['attrspec'].append('optional')
+            if 'depend' not in vars[n]:
+                vars[n]['depend'] = []
+                for v, m in list(dep_matches.items()):
+                    if m(vars[n]['=']):
+                        vars[n]['depend'].append(v)
+                if not vars[n]['depend']:
+                    del vars[n]['depend']
+            if isscalar(vars[n]):
+                vars[n]['='] = _eval_scalar(vars[n]['='], params)
+
+    for n in list(vars.keys()):
+        if n == block['name']:  # n is block name
+            if 'note' in vars[n]:
+                block['note'] = vars[n]['note']
+            if block['block'] == 'function':
+                if 'result' in block and block['result'] in vars:
+                    vars[n] = appenddecl(vars[n], vars[block['result']])
+                if 'prefix' in block:
+                    pr = block['prefix']
+                    pr1 = pr.replace('pure', '')
+                    ispure = (not pr == pr1)
+                    pr = pr1.replace('recursive', '')
+                    isrec = (not pr == pr1)
+                    m = typespattern[0].match(pr)
+                    if m:
+                        typespec, selector, attr, edecl = cracktypespec0(
+                            m.group('this'), m.group('after'))
+                        kindselect, charselect, typename = cracktypespec(
+                            typespec, selector)
+                        vars[n]['typespec'] = typespec
+                        try:
+                            if block['result']:
+                                vars[block['result']]['typespec'] = typespec
+                        except Exception:
+                            pass
+                        if kindselect:
+                            if 'kind' in kindselect:
+                                try:
+                                    kindselect['kind'] = eval(
+                                        kindselect['kind'], {}, params)
+                                except Exception:
+                                    pass
+                            vars[n]['kindselector'] = kindselect
+                        if charselect:
+                            vars[n]['charselector'] = charselect
+                        if typename:
+                            vars[n]['typename'] = typename
+                        if ispure:
+                            vars[n] = setattrspec(vars[n], 'pure')
+                        if isrec:
+                            vars[n] = setattrspec(vars[n], 'recursive')
+                    else:
+                        outmess(
+                            'analyzevars: prefix (%s) were not used\n' % repr(block['prefix']))
+    if block['block'] not in ['module', 'pythonmodule', 'python module', 'block data']:
+        if 'commonvars' in block:
+            neededvars = copy.copy(block['args'] + block['commonvars'])
+        else:
+            neededvars = copy.copy(block['args'])
+        for n in list(vars.keys()):
+            if l_or(isintent_callback, isintent_aux)(vars[n]):
+                neededvars.append(n)
+        if 'entry' in block:
+            neededvars.extend(list(block['entry'].keys()))
+            for k in list(block['entry'].keys()):
+                for n in block['entry'][k]:
+                    if n not in neededvars:
+                        neededvars.append(n)
+        if block['block'] == 'function':
+            if 'result' in block:
+                neededvars.append(block['result'])
+            else:
+                neededvars.append(block['name'])
+        if block['block'] in ['subroutine', 'function']:
+            name = block['name']
+            if name in vars and 'intent' in vars[name]:
+                block['intent'] = vars[name]['intent']
+        if block['block'] == 'type':
+            neededvars.extend(list(vars.keys()))
+        for n in list(vars.keys()):
+            if n not in neededvars:
+                del vars[n]
+    return vars
+
+
+analyzeargs_re_1 = re.compile(r'\A[a-z]+[\w$]*\Z', re.I)
+
+
+def param_eval(v, g_params, params, dimspec=None):
+    """
+    Creates a dictionary of indices and values for each parameter in a
+    parameter array to be evaluated later.
+
+    WARNING: It is not possible to initialize multidimensional array
+    parameters e.g. dimension(-3:1, 4, 3:5) at this point. This is because in
+    Fortran initialization through array constructor requires the RESHAPE
+    intrinsic function. Since the right-hand side of the parameter declaration
+    is not executed in f2py, but rather at the compiled c/fortran extension,
+    later, it is not possible to execute a reshape of a parameter array.
+    One issue remains: if the user wants to access the array parameter from
+    python, we should either
+    1) allow them to access the parameter array using python standard indexing
+       (which is often incompatible with the original fortran indexing)
+    2) allow the parameter array to be accessed in python as a dictionary with
+       fortran indices as keys
+    We are choosing 2 for now.
+    """
+    if dimspec is None:
+        try:
+            p = eval(v, g_params, params)
+        except Exception as msg:
+            p = v
+            outmess(f'param_eval: got "{msg}" on {v!r}\n')
+        return p
+
+    # This is an array parameter.
+    # First, we parse the dimension information
+    if len(dimspec) < 2 or dimspec[::len(dimspec)-1] != "()":
+        raise ValueError(f'param_eval: dimension {dimspec} can\'t be parsed')
+    dimrange = dimspec[1:-1].split(',')
+    if len(dimrange) == 1:
+        # e.g. dimension(2) or dimension(-1:1)
+        dimrange = dimrange[0].split(':')
+        # now, dimrange is a list of 1 or 2 elements
+        if len(dimrange) == 1:
+            bound = param_parse(dimrange[0], params)
+            dimrange = range(1, int(bound)+1)
+        else:
+            lbound = param_parse(dimrange[0], params)
+            ubound = param_parse(dimrange[1], params)
+            dimrange = range(int(lbound), int(ubound)+1)
+    else:
+        raise ValueError('param_eval: multidimensional array parameters '
+                         f'{dimspec} not supported')
+
+    # Parse parameter value
+    v = (v[2:-2] if v.startswith('(/') else v).split(',')
+    v_eval = []
+    for item in v:
+        try:
+            item = eval(item, g_params, params)
+        except Exception as msg:
+            outmess(f'param_eval: got "{msg}" on {item!r}\n')
+        v_eval.append(item)
+
+    p = dict(zip(dimrange, v_eval))
+
+    return p
+
+
+def param_parse(d, params):
+    """Recursively parse array dimensions.
+
+    Parses the declaration of an array variable or parameter
+    `dimension` keyword, and is called recursively if the
+    dimension for this array is a previously defined parameter
+    (found in `params`).
+
+    Parameters
+    ----------
+    d : str
+        Fortran expression describing the dimension of an array.
+    params : dict
+        Previously parsed parameters declared in the Fortran source file.
+
+    Returns
+    -------
+    out : str
+        Parsed dimension expression.
+
+    Examples
+    --------
+
+    * If the line being analyzed is
+
+      `integer, parameter, dimension(2) :: pa = (/ 3, 5 /)`
+
+      then `d = 2` and we return immediately, with
+
+    >>> d = '2'
+    >>> param_parse(d, params)
+    2
+
+    * If the line being analyzed is
+
+      `integer, parameter, dimension(pa) :: pb = (/1, 2, 3/)`
+
+      then `d = 'pa'`; since `pa` is a previously parsed parameter,
+      and `pa = 3`, we call `param_parse` recursively, to obtain
+
+    >>> d = 'pa'
+    >>> params = {'pa': 3}
+    >>> param_parse(d, params)
+    3
+
+    * If the line being analyzed is
+
+      `integer, parameter, dimension(pa(1)) :: pb = (/1, 2, 3/)`
+
+      then `d = 'pa(1)'`; since `pa` is a previously parsed parameter,
+      and `pa(1) = 3`, we call `param_parse` recursively, to obtain
+
+    >>> d = 'pa(1)'
+    >>> params = dict(pa={1: 3, 2: 5})
+    >>> param_parse(d, params)
+    3
+    """
+    if "(" in d:
+        # this dimension expression is an array
+        dname = d[:d.find("(")]
+        ddims = d[d.find("(")+1:d.rfind(")")]
+        # this dimension expression is also a parameter;
+        # parse it recursively
+        index = int(param_parse(ddims, params))
+        return str(params[dname][index])
+    elif d in params:
+        return str(params[d])
+    else:
+        for p in params:
+            re_1 = re.compile(
+                r'(?P.*?)\b' + p + r'\b(?P.*)', re.I
+            )
+            m = re_1.match(d)
+            while m:
+                d = m.group('before') + \
+                    str(params[p]) + m.group('after')
+                m = re_1.match(d)
+        return d
+
+
+def expr2name(a, block, args=[]):
+    orig_a = a
+    a_is_expr = not analyzeargs_re_1.match(a)
+    if a_is_expr:  # `a` is an expression
+        implicitrules, attrrules = buildimplicitrules(block)
+        at = determineexprtype(a, block['vars'], implicitrules)
+        na = 'e_'
+        for c in a:
+            c = c.lower()
+            if c not in string.ascii_lowercase + string.digits:
+                c = '_'
+            na = na + c
+        if na[-1] == '_':
+            na = na + 'e'
+        else:
+            na = na + '_e'
+        a = na
+        while a in block['vars'] or a in block['args']:
+            a = a + 'r'
+    if a in args:
+        k = 1
+        while a + str(k) in args:
+            k = k + 1
+        a = a + str(k)
+    if a_is_expr:
+        block['vars'][a] = at
+    else:
+        if a not in block['vars']:
+            if orig_a in block['vars']:
+                block['vars'][a] = block['vars'][orig_a]
+            else:
+                block['vars'][a] = {}
+        if 'externals' in block and orig_a in block['externals'] + block['interfaced']:
+            block['vars'][a] = setattrspec(block['vars'][a], 'external')
+    return a
+
+
+def analyzeargs(block):
+    setmesstext(block)
+    implicitrules, _ = buildimplicitrules(block)
+    if 'args' not in block:
+        block['args'] = []
+    args = []
+    for a in block['args']:
+        a = expr2name(a, block, args)
+        args.append(a)
+    block['args'] = args
+    if 'entry' in block:
+        for k, args1 in list(block['entry'].items()):
+            for a in args1:
+                if a not in block['vars']:
+                    block['vars'][a] = {}
+
+    for b in block['body']:
+        if b['name'] in args:
+            if 'externals' not in block:
+                block['externals'] = []
+            if b['name'] not in block['externals']:
+                block['externals'].append(b['name'])
+    if 'result' in block and block['result'] not in block['vars']:
+        block['vars'][block['result']] = {}
+    return block
+
+determineexprtype_re_1 = re.compile(r'\A\(.+?,.+?\)\Z', re.I)
+determineexprtype_re_2 = re.compile(r'\A[+-]?\d+(_(?P\w+)|)\Z', re.I)
+determineexprtype_re_3 = re.compile(
+    r'\A[+-]?[\d.]+[-\d+de.]*(_(?P\w+)|)\Z', re.I)
+determineexprtype_re_4 = re.compile(r'\A\(.*\)\Z', re.I)
+determineexprtype_re_5 = re.compile(r'\A(?P\w+)\s*\(.*?\)\s*\Z', re.I)
+
+
+def _ensure_exprdict(r):
+    if isinstance(r, int):
+        return {'typespec': 'integer'}
+    if isinstance(r, float):
+        return {'typespec': 'real'}
+    if isinstance(r, complex):
+        return {'typespec': 'complex'}
+    if isinstance(r, dict):
+        return r
+    raise AssertionError(repr(r))
+
+
+def determineexprtype(expr, vars, rules={}):
+    if expr in vars:
+        return _ensure_exprdict(vars[expr])
+    expr = expr.strip()
+    if determineexprtype_re_1.match(expr):
+        return {'typespec': 'complex'}
+    m = determineexprtype_re_2.match(expr)
+    if m:
+        if 'name' in m.groupdict() and m.group('name'):
+            outmess(
+                'determineexprtype: selected kind types not supported (%s)\n' % repr(expr))
+        return {'typespec': 'integer'}
+    m = determineexprtype_re_3.match(expr)
+    if m:
+        if 'name' in m.groupdict() and m.group('name'):
+            outmess(
+                'determineexprtype: selected kind types not supported (%s)\n' % repr(expr))
+        return {'typespec': 'real'}
+    for op in ['+', '-', '*', '/']:
+        for e in [x.strip() for x in markoutercomma(expr, comma=op).split('@' + op + '@')]:
+            if e in vars:
+                return _ensure_exprdict(vars[e])
+    t = {}
+    if determineexprtype_re_4.match(expr):  # in parenthesis
+        t = determineexprtype(expr[1:-1], vars, rules)
+    else:
+        m = determineexprtype_re_5.match(expr)
+        if m:
+            rn = m.group('name')
+            t = determineexprtype(m.group('name'), vars, rules)
+            if t and 'attrspec' in t:
+                del t['attrspec']
+            if not t:
+                if rn[0] in rules:
+                    return _ensure_exprdict(rules[rn[0]])
+    if expr[0] in '\'"':
+        return {'typespec': 'character', 'charselector': {'*': '*'}}
+    if not t:
+        outmess(
+            'determineexprtype: could not determine expressions (%s) type.\n' % (repr(expr)))
+    return t
+
+######
+
+
+def crack2fortrangen(block, tab='\n', as_interface=False):
+    global skipfuncs, onlyfuncs
+
+    setmesstext(block)
+    ret = ''
+    if isinstance(block, list):
+        for g in block:
+            if g and g['block'] in ['function', 'subroutine']:
+                if g['name'] in skipfuncs:
+                    continue
+                if onlyfuncs and g['name'] not in onlyfuncs:
+                    continue
+            ret = ret + crack2fortrangen(g, tab, as_interface=as_interface)
+        return ret
+    prefix = ''
+    name = ''
+    args = ''
+    blocktype = block['block']
+    if blocktype == 'program':
+        return ''
+    argsl = []
+    if 'name' in block:
+        name = block['name']
+    if 'args' in block:
+        vars = block['vars']
+        for a in block['args']:
+            a = expr2name(a, block, argsl)
+            if not isintent_callback(vars[a]):
+                argsl.append(a)
+        if block['block'] == 'function' or argsl:
+            args = '(%s)' % ','.join(argsl)
+    f2pyenhancements = ''
+    if 'f2pyenhancements' in block:
+        for k in list(block['f2pyenhancements'].keys()):
+            f2pyenhancements = '%s%s%s %s' % (
+                f2pyenhancements, tab + tabchar, k, block['f2pyenhancements'][k])
+    intent_lst = block.get('intent', [])[:]
+    if blocktype == 'function' and 'callback' in intent_lst:
+        intent_lst.remove('callback')
+    if intent_lst:
+        f2pyenhancements = '%s%sintent(%s) %s' %\
+                           (f2pyenhancements, tab + tabchar,
+                            ','.join(intent_lst), name)
+    use = ''
+    if 'use' in block:
+        use = use2fortran(block['use'], tab + tabchar)
+    common = ''
+    if 'common' in block:
+        common = common2fortran(block['common'], tab + tabchar)
+    if name == 'unknown_interface':
+        name = ''
+    result = ''
+    if 'result' in block:
+        result = ' result (%s)' % block['result']
+        if block['result'] not in argsl:
+            argsl.append(block['result'])
+    body = crack2fortrangen(block['body'], tab + tabchar, as_interface=as_interface)
+    vars = vars2fortran(
+        block, block['vars'], argsl, tab + tabchar, as_interface=as_interface)
+    mess = ''
+    if 'from' in block and not as_interface:
+        mess = '! in %s' % block['from']
+    if 'entry' in block:
+        entry_stmts = ''
+        for k, i in list(block['entry'].items()):
+            entry_stmts = '%s%sentry %s(%s)' \
+                          % (entry_stmts, tab + tabchar, k, ','.join(i))
+        body = body + entry_stmts
+    if blocktype == 'block data' and name == '_BLOCK_DATA_':
+        name = ''
+    ret = '%s%s%s %s%s%s %s%s%s%s%s%s%send %s %s' % (
+        tab, prefix, blocktype, name, args, result, mess, f2pyenhancements, use, vars, common, body, tab, blocktype, name)
+    return ret
+
+
+def common2fortran(common, tab=''):
+    ret = ''
+    for k in list(common.keys()):
+        if k == '_BLNK_':
+            ret = '%s%scommon %s' % (ret, tab, ','.join(common[k]))
+        else:
+            ret = '%s%scommon /%s/ %s' % (ret, tab, k, ','.join(common[k]))
+    return ret
+
+
+def use2fortran(use, tab=''):
+    ret = ''
+    for m in list(use.keys()):
+        ret = '%s%suse %s,' % (ret, tab, m)
+        if use[m] == {}:
+            if ret and ret[-1] == ',':
+                ret = ret[:-1]
+            continue
+        if 'only' in use[m] and use[m]['only']:
+            ret = '%s only:' % (ret)
+        if 'map' in use[m] and use[m]['map']:
+            c = ' '
+            for k in list(use[m]['map'].keys()):
+                if k == use[m]['map'][k]:
+                    ret = '%s%s%s' % (ret, c, k)
+                    c = ','
+                else:
+                    ret = '%s%s%s=>%s' % (ret, c, k, use[m]['map'][k])
+                    c = ','
+        if ret and ret[-1] == ',':
+            ret = ret[:-1]
+    return ret
+
+
+def true_intent_list(var):
+    lst = var['intent']
+    ret = []
+    for intent in lst:
+        try:
+            f = globals()['isintent_%s' % intent]
+        except KeyError:
+            pass
+        else:
+            if f(var):
+                ret.append(intent)
+    return ret
+
+
+def vars2fortran(block, vars, args, tab='', as_interface=False):
+    setmesstext(block)
+    ret = ''
+    nout = []
+    for a in args:
+        if a in block['vars']:
+            nout.append(a)
+    if 'commonvars' in block:
+        for a in block['commonvars']:
+            if a in vars:
+                if a not in nout:
+                    nout.append(a)
+            else:
+                errmess(
+                    'vars2fortran: Confused?!: "%s" is not defined in vars.\n' % a)
+    if 'varnames' in block:
+        nout.extend(block['varnames'])
+    if not as_interface:
+        for a in list(vars.keys()):
+            if a not in nout:
+                nout.append(a)
+    for a in nout:
+        if 'depend' in vars[a]:
+            for d in vars[a]['depend']:
+                if d in vars and 'depend' in vars[d] and a in vars[d]['depend']:
+                    errmess(
+                        'vars2fortran: Warning: cross-dependence between variables "%s" and "%s"\n' % (a, d))
+        if 'externals' in block and a in block['externals']:
+            if isintent_callback(vars[a]):
+                ret = '%s%sintent(callback) %s' % (ret, tab, a)
+            ret = '%s%sexternal %s' % (ret, tab, a)
+            if isoptional(vars[a]):
+                ret = '%s%soptional %s' % (ret, tab, a)
+            if a in vars and 'typespec' not in vars[a]:
+                continue
+            cont = 1
+            for b in block['body']:
+                if a == b['name'] and b['block'] == 'function':
+                    cont = 0
+                    break
+            if cont:
+                continue
+        if a not in vars:
+            show(vars)
+            outmess('vars2fortran: No definition for argument "%s".\n' % a)
+            continue
+        if a == block['name']:
+            if block['block'] != 'function' or block.get('result'):
+                # 1) skip declaring a variable that name matches with
+                #    subroutine name
+                # 2) skip declaring function when its type is
+                #    declared via `result` construction
+                continue
+        if 'typespec' not in vars[a]:
+            if 'attrspec' in vars[a] and 'external' in vars[a]['attrspec']:
+                if a in args:
+                    ret = '%s%sexternal %s' % (ret, tab, a)
+                continue
+            show(vars[a])
+            outmess('vars2fortran: No typespec for argument "%s".\n' % a)
+            continue
+        vardef = vars[a]['typespec']
+        if vardef == 'type' and 'typename' in vars[a]:
+            vardef = '%s(%s)' % (vardef, vars[a]['typename'])
+        selector = {}
+        if 'kindselector' in vars[a]:
+            selector = vars[a]['kindselector']
+        elif 'charselector' in vars[a]:
+            selector = vars[a]['charselector']
+        if '*' in selector:
+            if selector['*'] in ['*', ':']:
+                vardef = '%s*(%s)' % (vardef, selector['*'])
+            else:
+                vardef = '%s*%s' % (vardef, selector['*'])
+        else:
+            if 'len' in selector:
+                vardef = '%s(len=%s' % (vardef, selector['len'])
+                if 'kind' in selector:
+                    vardef = '%s,kind=%s)' % (vardef, selector['kind'])
+                else:
+                    vardef = '%s)' % (vardef)
+            elif 'kind' in selector:
+                vardef = '%s(kind=%s)' % (vardef, selector['kind'])
+        c = ' '
+        if 'attrspec' in vars[a]:
+            attr = [l for l in vars[a]['attrspec']
+                    if l not in ['external']]
+            if as_interface and 'intent(in)' in attr and 'intent(out)' in attr:
+                # In Fortran, intent(in, out) are conflicting while
+                # intent(in, out) can be specified only via
+                # `!f2py intent(out) ..`.
+                # So, for the Fortran interface, we'll drop
+                # intent(out) to resolve the conflict.
+                attr.remove('intent(out)')
+            if attr:
+                vardef = '%s, %s' % (vardef, ','.join(attr))
+                c = ','
+        if 'dimension' in vars[a]:
+            vardef = '%s%sdimension(%s)' % (
+                vardef, c, ','.join(vars[a]['dimension']))
+            c = ','
+        if 'intent' in vars[a]:
+            lst = true_intent_list(vars[a])
+            if lst:
+                vardef = '%s%sintent(%s)' % (vardef, c, ','.join(lst))
+            c = ','
+        if 'check' in vars[a]:
+            vardef = '%s%scheck(%s)' % (vardef, c, ','.join(vars[a]['check']))
+            c = ','
+        if 'depend' in vars[a]:
+            vardef = '%s%sdepend(%s)' % (
+                vardef, c, ','.join(vars[a]['depend']))
+            c = ','
+        if '=' in vars[a]:
+            v = vars[a]['=']
+            if vars[a]['typespec'] in ['complex', 'double complex']:
+                try:
+                    v = eval(v)
+                    v = '(%s,%s)' % (v.real, v.imag)
+                except Exception:
+                    pass
+            vardef = '%s :: %s=%s' % (vardef, a, v)
+        else:
+            vardef = '%s :: %s' % (vardef, a)
+        ret = '%s%s%s' % (ret, tab, vardef)
+    return ret
+######
+
+
+# We expose post_processing_hooks as global variable so that
+# user-libraries could register their own hooks to f2py.
+post_processing_hooks = []
+
+
+def crackfortran(files):
+    global usermodules, post_processing_hooks
+
+    outmess('Reading fortran codes...\n', 0)
+    readfortrancode(files, crackline)
+    outmess('Post-processing...\n', 0)
+    usermodules = []
+    postlist = postcrack(grouplist[0])
+    outmess('Applying post-processing hooks...\n', 0)
+    for hook in post_processing_hooks:
+        outmess(f'  {hook.__name__}\n', 0)
+        postlist = traverse(postlist, hook)
+    outmess('Post-processing (stage 2)...\n', 0)
+    postlist = postcrack2(postlist)
+    return usermodules + postlist
+
+
+def crack2fortran(block):
+    global f2py_version
+
+    pyf = crack2fortrangen(block) + '\n'
+    header = """!    -*- f90 -*-
+! Note: the context of this file is case sensitive.
+"""
+    footer = """
+! This file was auto-generated with f2py (version:%s).
+! See:
+! https://web.archive.org/web/20140822061353/http://cens.ioc.ee/projects/f2py2e
+""" % (f2py_version)
+    return header + pyf + footer
+
+
+def _is_visit_pair(obj):
+    return (isinstance(obj, tuple)
+            and len(obj) == 2
+            and isinstance(obj[0], (int, str)))
+
+
+def traverse(obj, visit, parents=[], result=None, *args, **kwargs):
+    '''Traverse f2py data structure with the following visit function:
+
+    def visit(item, parents, result, *args, **kwargs):
+        """
+
+        parents is a list of key-"f2py data structure" pairs from which
+        items are taken from.
+
+        result is a f2py data structure that is filled with the
+        return value of the visit function.
+
+        item is 2-tuple (index, value) if parents[-1][1] is a list
+        item is 2-tuple (key, value) if parents[-1][1] is a dict
+
+        The return value of visit must be None, or of the same kind as
+        item, that is, if parents[-1] is a list, the return value must
+        be 2-tuple (new_index, new_value), or if parents[-1] is a
+        dict, the return value must be 2-tuple (new_key, new_value).
+
+        If new_index or new_value is None, the return value of visit
+        is ignored, that is, it will not be added to the result.
+
+        If the return value is None, the content of obj will be
+        traversed, otherwise not.
+        """
+    '''
+
+    if _is_visit_pair(obj):
+        if obj[0] == 'parent_block':
+            # avoid infinite recursion
+            return obj
+        new_result = visit(obj, parents, result, *args, **kwargs)
+        if new_result is not None:
+            assert _is_visit_pair(new_result)
+            return new_result
+        parent = obj
+        result_key, obj = obj
+    else:
+        parent = (None, obj)
+        result_key = None
+
+    if isinstance(obj, list):
+        new_result = []
+        for index, value in enumerate(obj):
+            new_index, new_item = traverse((index, value), visit,
+                                           parents=parents + [parent],
+                                           result=result, *args, **kwargs)
+            if new_index is not None:
+                new_result.append(new_item)
+    elif isinstance(obj, dict):
+        new_result = dict()
+        for key, value in obj.items():
+            new_key, new_value = traverse((key, value), visit,
+                                          parents=parents + [parent],
+                                          result=result, *args, **kwargs)
+            if new_key is not None:
+                new_result[new_key] = new_value
+    else:
+        new_result = obj
+
+    if result_key is None:
+        return new_result
+    return result_key, new_result
+
+
+def character_backward_compatibility_hook(item, parents, result,
+                                          *args, **kwargs):
+    """Previously, Fortran character was incorrectly treated as
+    character*1. This hook fixes the usage of the corresponding
+    variables in `check`, `dimension`, `=`, and `callstatement`
+    expressions.
+
+    The usage of `char*` in `callprotoargument` expression can be left
+    unchanged because C `character` is C typedef of `char`, although,
+    new implementations should use `character*` in the corresponding
+    expressions.
+
+    See https://github.com/numpy/numpy/pull/19388 for more information.
+
+    """
+    parent_key, parent_value = parents[-1]
+    key, value = item
+
+    def fix_usage(varname, value):
+        value = re.sub(r'[*]\s*\b' + varname + r'\b', varname, value)
+        value = re.sub(r'\b' + varname + r'\b\s*[\[]\s*0\s*[\]]',
+                       varname, value)
+        return value
+
+    if parent_key in ['dimension', 'check']:
+        assert parents[-3][0] == 'vars'
+        vars_dict = parents[-3][1]
+    elif key == '=':
+        assert parents[-2][0] == 'vars'
+        vars_dict = parents[-2][1]
+    else:
+        vars_dict = None
+
+    new_value = None
+    if vars_dict is not None:
+        new_value = value
+        for varname, vd in vars_dict.items():
+            if ischaracter(vd):
+                new_value = fix_usage(varname, new_value)
+    elif key == 'callstatement':
+        vars_dict = parents[-2][1]['vars']
+        new_value = value
+        for varname, vd in vars_dict.items():
+            if ischaracter(vd):
+                # replace all occurrences of `` with
+                # `&` in argument passing
+                new_value = re.sub(
+                    r'(? `{new_value}`\n', 1)
+        return (key, new_value)
+
+
+post_processing_hooks.append(character_backward_compatibility_hook)
+
+
+if __name__ == "__main__":
+    files = []
+    funcs = []
+    f = 1
+    f2 = 0
+    f3 = 0
+    showblocklist = 0
+    for l in sys.argv[1:]:
+        if l == '':
+            pass
+        elif l[0] == ':':
+            f = 0
+        elif l == '-quiet':
+            quiet = 1
+            verbose = 0
+        elif l == '-verbose':
+            verbose = 2
+            quiet = 0
+        elif l == '-fix':
+            if strictf77:
+                outmess(
+                    'Use option -f90 before -fix if Fortran 90 code is in fix form.\n', 0)
+            skipemptyends = 1
+            sourcecodeform = 'fix'
+        elif l == '-skipemptyends':
+            skipemptyends = 1
+        elif l == '--ignore-contains':
+            ignorecontains = 1
+        elif l == '-f77':
+            strictf77 = 1
+            sourcecodeform = 'fix'
+        elif l == '-f90':
+            strictf77 = 0
+            sourcecodeform = 'free'
+            skipemptyends = 1
+        elif l == '-h':
+            f2 = 1
+        elif l == '-show':
+            showblocklist = 1
+        elif l == '-m':
+            f3 = 1
+        elif l[0] == '-':
+            errmess('Unknown option %s\n' % repr(l))
+        elif f2:
+            f2 = 0
+            pyffilename = l
+        elif f3:
+            f3 = 0
+            f77modulename = l
+        elif f:
+            try:
+                open(l).close()
+                files.append(l)
+            except OSError as detail:
+                errmess(f'OSError: {detail!s}\n')
+        else:
+            funcs.append(l)
+    if not strictf77 and f77modulename and not skipemptyends:
+        outmess("""\
+  Warning: You have specified module name for non Fortran 77 code that
+  should not need one (expect if you are scanning F90 code for non
+  module blocks but then you should use flag -skipemptyends and also
+  be sure that the files do not contain programs without program
+  statement).
+""", 0)
+
+    postlist = crackfortran(files)
+    if pyffilename:
+        outmess('Writing fortran code to file %s\n' % repr(pyffilename), 0)
+        pyf = crack2fortran(postlist)
+        with open(pyffilename, 'w') as f:
+            f.write(pyf)
+    if showblocklist:
+        show(postlist)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/diagnose.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/diagnose.py
new file mode 100644
index 0000000000000000000000000000000000000000..523c2c679d9edf78b7d82bf77904348f0f99a3e8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/diagnose.py
@@ -0,0 +1,154 @@
+#!/usr/bin/env python3
+import os
+import sys
+import tempfile
+
+
+def run_command(cmd):
+    print('Running %r:' % (cmd))
+    os.system(cmd)
+    print('------')
+
+
+def run():
+    _path = os.getcwd()
+    os.chdir(tempfile.gettempdir())
+    print('------')
+    print('os.name=%r' % (os.name))
+    print('------')
+    print('sys.platform=%r' % (sys.platform))
+    print('------')
+    print('sys.version:')
+    print(sys.version)
+    print('------')
+    print('sys.prefix:')
+    print(sys.prefix)
+    print('------')
+    print('sys.path=%r' % (':'.join(sys.path)))
+    print('------')
+
+    try:
+        import numpy
+        has_newnumpy = 1
+    except ImportError as e:
+        print('Failed to import new numpy:', e)
+        has_newnumpy = 0
+
+    try:
+        from numpy.f2py import f2py2e
+        has_f2py2e = 1
+    except ImportError as e:
+        print('Failed to import f2py2e:', e)
+        has_f2py2e = 0
+
+    try:
+        import numpy.distutils
+        has_numpy_distutils = 2
+    except ImportError:
+        try:
+            import numpy_distutils
+            has_numpy_distutils = 1
+        except ImportError as e:
+            print('Failed to import numpy_distutils:', e)
+            has_numpy_distutils = 0
+
+    if has_newnumpy:
+        try:
+            print('Found new numpy version %r in %s' %
+                  (numpy.__version__, numpy.__file__))
+        except Exception as msg:
+            print('error:', msg)
+            print('------')
+
+    if has_f2py2e:
+        try:
+            print('Found f2py2e version %r in %s' %
+                  (f2py2e.__version__.version, f2py2e.__file__))
+        except Exception as msg:
+            print('error:', msg)
+            print('------')
+
+    if has_numpy_distutils:
+        try:
+            if has_numpy_distutils == 2:
+                print('Found numpy.distutils version %r in %r' % (
+                    numpy.distutils.__version__,
+                    numpy.distutils.__file__))
+            else:
+                print('Found numpy_distutils version %r in %r' % (
+                    numpy_distutils.numpy_distutils_version.numpy_distutils_version,
+                    numpy_distutils.__file__))
+            print('------')
+        except Exception as msg:
+            print('error:', msg)
+            print('------')
+        try:
+            if has_numpy_distutils == 1:
+                print(
+                    'Importing numpy_distutils.command.build_flib ...', end=' ')
+                import numpy_distutils.command.build_flib as build_flib
+                print('ok')
+                print('------')
+                try:
+                    print(
+                        'Checking availability of supported Fortran compilers:')
+                    for compiler_class in build_flib.all_compilers:
+                        compiler_class(verbose=1).is_available()
+                        print('------')
+                except Exception as msg:
+                    print('error:', msg)
+                    print('------')
+        except Exception as msg:
+            print(
+                'error:', msg, '(ignore it, build_flib is obsolete for numpy.distutils 0.2.2 and up)')
+            print('------')
+        try:
+            if has_numpy_distutils == 2:
+                print('Importing numpy.distutils.fcompiler ...', end=' ')
+                import numpy.distutils.fcompiler as fcompiler
+            else:
+                print('Importing numpy_distutils.fcompiler ...', end=' ')
+                import numpy_distutils.fcompiler as fcompiler
+            print('ok')
+            print('------')
+            try:
+                print('Checking availability of supported Fortran compilers:')
+                fcompiler.show_fcompilers()
+                print('------')
+            except Exception as msg:
+                print('error:', msg)
+                print('------')
+        except Exception as msg:
+            print('error:', msg)
+            print('------')
+        try:
+            if has_numpy_distutils == 2:
+                print('Importing numpy.distutils.cpuinfo ...', end=' ')
+                from numpy.distutils.cpuinfo import cpuinfo
+                print('ok')
+                print('------')
+            else:
+                try:
+                    print(
+                        'Importing numpy_distutils.command.cpuinfo ...', end=' ')
+                    from numpy_distutils.command.cpuinfo import cpuinfo
+                    print('ok')
+                    print('------')
+                except Exception as msg:
+                    print('error:', msg, '(ignore it)')
+                    print('Importing numpy_distutils.cpuinfo ...', end=' ')
+                    from numpy_distutils.cpuinfo import cpuinfo
+                    print('ok')
+                    print('------')
+            cpu = cpuinfo()
+            print('CPU information:', end=' ')
+            for name in dir(cpuinfo):
+                if name[0] == '_' and name[1] != '_' and getattr(cpu, name[1:])():
+                    print(name[1:], end=' ')
+            print('------')
+        except Exception as msg:
+            print('error:', msg)
+            print('------')
+    os.chdir(_path)
+if __name__ == "__main__":
+    run()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/f2py2e.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/f2py2e.py
new file mode 100644
index 0000000000000000000000000000000000000000..c0f801e06c7fc0f9d9634c695028edd333f6502b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/f2py2e.py
@@ -0,0 +1,783 @@
+"""
+
+f2py2e - Fortran to Python C/API generator. 2nd Edition.
+         See __usage__ below.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+import sys
+import os
+import pprint
+import re
+import argparse
+
+from . import crackfortran
+from . import rules
+from . import cb_rules
+from . import auxfuncs
+from . import cfuncs
+from . import f90mod_rules
+from . import __version__
+from . import capi_maps
+from .cfuncs import errmess
+from numpy.f2py._backends import f2py_build_generator
+
+f2py_version = __version__.version
+numpy_version = __version__.version
+
+# outmess=sys.stdout.write
+show = pprint.pprint
+outmess = auxfuncs.outmess
+MESON_ONLY_VER = (sys.version_info >= (3, 12))
+
+__usage__ =\
+f"""Usage:
+
+1) To construct extension module sources:
+
+      f2py []  [[[only:]||[skip:]] \\
+                                         ] \\
+                                       [:  ...]
+
+2) To compile fortran files and build extension modules:
+
+      f2py -c [, , ] 
+
+3) To generate signature files:
+
+      f2py -h  ...< same options as in (1) >
+
+Description: This program generates a Python C/API file (module.c)
+             that contains wrappers for given fortran functions so that they
+             can be called from Python. With the -c option the corresponding
+             extension modules are built.
+
+Options:
+
+  -h     Write signatures of the fortran routines to file 
+                   and exit. You can then edit  and use it instead
+                   of . If ==stdout then the
+                   signatures are printed to stdout.
+    Names of fortran routines for which Python C/API
+                   functions will be generated. Default is all that are found
+                   in .
+    Paths to fortran/signature files that will be scanned for
+                    in order to determine their signatures.
+  skip:            Ignore fortran functions that follow until `:'.
+  only:            Use only fortran functions that follow until `:'.
+  :                Get back to  mode.
+
+  -m   Name of the module; f2py generates a Python/C API
+                   file module.c or extension module .
+                   Default is 'untitled'.
+
+  '-include
'  Writes additional headers in the C wrapper, can be passed
+                      multiple times, generates #include 
 each time.
+
+  --[no-]lower     Do [not] lower the cases in . By default,
+                   --lower is assumed with -h key, and --no-lower without -h key.
+
+  --build-dir   All f2py generated files are created in .
+                   Default is tempfile.mkdtemp().
+
+  --overwrite-signature  Overwrite existing signature file.
+
+  --[no-]latex-doc Create (or not) module.tex.
+                   Default is --no-latex-doc.
+  --short-latex    Create 'incomplete' LaTeX document (without commands
+                   \\documentclass, \\tableofcontents, and \\begin{{document}},
+                   \\end{{document}}).
+
+  --[no-]rest-doc Create (or not) module.rst.
+                   Default is --no-rest-doc.
+
+  --debug-capi     Create C/API code that reports the state of the wrappers
+                   during runtime. Useful for debugging.
+
+  --[no-]wrap-functions    Create Fortran subroutine wrappers to Fortran 77
+                   functions. --wrap-functions is default because it ensures
+                   maximum portability/compiler independence.
+
+  --[no-]freethreading-compatible    Create a module that declares it does or
+                   doesn't require the GIL. The default is
+                   --freethreading-compatible for backward
+                   compatibility. Inspect the Fortran code you are wrapping for
+                   thread safety issues before passing
+                   --no-freethreading-compatible, as f2py does not analyze
+                   fortran code for thread safety issues.
+
+  --include-paths ::...   Search include files from the given
+                   directories.
+
+  --help-link [..] List system resources found by system_info.py. See also
+                   --link- switch below. [..] is optional list
+                   of resources names. E.g. try 'f2py --help-link lapack_opt'.
+
+  --f2cmap   Load Fortran-to-Python KIND specification from the given
+                   file. Default: .f2py_f2cmap in current directory.
+
+  --quiet          Run quietly.
+  --verbose        Run with extra verbosity.
+  --skip-empty-wrappers   Only generate wrapper files when needed.
+  -v               Print f2py version ID and exit.
+
+
+build backend options (only effective with -c)
+[NO_MESON] is used to indicate an option not meant to be used
+with the meson backend or above Python 3.12:
+
+  --fcompiler=         Specify Fortran compiler type by vendor [NO_MESON]
+  --compiler=          Specify distutils C compiler type [NO_MESON]
+
+  --help-fcompiler     List available Fortran compilers and exit [NO_MESON]
+  --f77exec=           Specify the path to F77 compiler [NO_MESON]
+  --f90exec=           Specify the path to F90 compiler [NO_MESON]
+  --f77flags=          Specify F77 compiler flags
+  --f90flags=          Specify F90 compiler flags
+  --opt=               Specify optimization flags [NO_MESON]
+  --arch=              Specify architecture specific optimization flags [NO_MESON]
+  --noopt              Compile without optimization [NO_MESON]
+  --noarch             Compile without arch-dependent optimization [NO_MESON]
+  --debug              Compile with debugging information
+
+  --dep                
+                       Specify a meson dependency for the module. This may
+                       be passed multiple times for multiple dependencies.
+                       Dependencies are stored in a list for further processing.
+
+                       Example: --dep lapack --dep scalapack
+                       This will identify "lapack" and "scalapack" as dependencies
+                       and remove them from argv, leaving a dependencies list
+                       containing ["lapack", "scalapack"].
+
+  --backend            
+                       Specify the build backend for the compilation process.
+                       The supported backends are 'meson' and 'distutils'.
+                       If not specified, defaults to 'distutils'. On
+                       Python 3.12 or higher, the default is 'meson'.
+
+Extra options (only effective with -c):
+
+  --link-    Link extension module with  as defined
+                       by numpy.distutils/system_info.py. E.g. to link
+                       with optimized LAPACK libraries (vecLib on MacOSX,
+                       ATLAS elsewhere), use --link-lapack_opt.
+                       See also --help-link switch. [NO_MESON]
+
+  -L/path/to/lib/ -l
+  -D -U
+  -I/path/to/include/
+  .o .so .a
+
+  Using the following macros may be required with non-gcc Fortran
+  compilers:
+    -DPREPEND_FORTRAN -DNO_APPEND_FORTRAN -DUPPERCASE_FORTRAN
+
+  When using -DF2PY_REPORT_ATEXIT, a performance report of F2PY
+  interface is printed out at exit (platforms: Linux).
+
+  When using -DF2PY_REPORT_ON_ARRAY_COPY=, a message is
+  sent to stderr whenever F2PY interface makes a copy of an
+  array. Integer  sets the threshold for array sizes when
+  a message should be shown.
+
+Version:     {f2py_version}
+numpy Version: {numpy_version}
+License:     NumPy license (see LICENSE.txt in the NumPy source code)
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+https://numpy.org/doc/stable/f2py/index.html\n"""
+
+
+def scaninputline(inputline):
+    files, skipfuncs, onlyfuncs, debug = [], [], [], []
+    f, f2, f3, f5, f6, f8, f9, f10 = 1, 0, 0, 0, 0, 0, 0, 0
+    verbose = 1
+    emptygen = True
+    dolc = -1
+    dolatexdoc = 0
+    dorestdoc = 0
+    wrapfuncs = 1
+    buildpath = '.'
+    include_paths, freethreading_compatible, inputline = get_newer_options(inputline)
+    signsfile, modulename = None, None
+    options = {'buildpath': buildpath,
+               'coutput': None,
+               'f2py_wrapper_output': None}
+    for l in inputline:
+        if l == '':
+            pass
+        elif l == 'only:':
+            f = 0
+        elif l == 'skip:':
+            f = -1
+        elif l == ':':
+            f = 1
+        elif l[:8] == '--debug-':
+            debug.append(l[8:])
+        elif l == '--lower':
+            dolc = 1
+        elif l == '--build-dir':
+            f6 = 1
+        elif l == '--no-lower':
+            dolc = 0
+        elif l == '--quiet':
+            verbose = 0
+        elif l == '--verbose':
+            verbose += 1
+        elif l == '--latex-doc':
+            dolatexdoc = 1
+        elif l == '--no-latex-doc':
+            dolatexdoc = 0
+        elif l == '--rest-doc':
+            dorestdoc = 1
+        elif l == '--no-rest-doc':
+            dorestdoc = 0
+        elif l == '--wrap-functions':
+            wrapfuncs = 1
+        elif l == '--no-wrap-functions':
+            wrapfuncs = 0
+        elif l == '--short-latex':
+            options['shortlatex'] = 1
+        elif l == '--coutput':
+            f8 = 1
+        elif l == '--f2py-wrapper-output':
+            f9 = 1
+        elif l == '--f2cmap':
+            f10 = 1
+        elif l == '--overwrite-signature':
+            options['h-overwrite'] = 1
+        elif l == '-h':
+            f2 = 1
+        elif l == '-m':
+            f3 = 1
+        elif l[:2] == '-v':
+            print(f2py_version)
+            sys.exit()
+        elif l == '--show-compilers':
+            f5 = 1
+        elif l[:8] == '-include':
+            cfuncs.outneeds['userincludes'].append(l[9:-1])
+            cfuncs.userincludes[l[9:-1]] = '#include ' + l[8:]
+        elif l == '--skip-empty-wrappers':
+            emptygen = False
+        elif l[0] == '-':
+            errmess('Unknown option %s\n' % repr(l))
+            sys.exit()
+        elif f2:
+            f2 = 0
+            signsfile = l
+        elif f3:
+            f3 = 0
+            modulename = l
+        elif f6:
+            f6 = 0
+            buildpath = l
+        elif f8:
+            f8 = 0
+            options["coutput"] = l
+        elif f9:
+            f9 = 0
+            options["f2py_wrapper_output"] = l
+        elif f10:
+            f10 = 0
+            options["f2cmap_file"] = l
+        elif f == 1:
+            try:
+                with open(l):
+                    pass
+                files.append(l)
+            except OSError as detail:
+                errmess(f'OSError: {detail!s}. Skipping file "{l!s}".\n')
+        elif f == -1:
+            skipfuncs.append(l)
+        elif f == 0:
+            onlyfuncs.append(l)
+    if not f5 and not files and not modulename:
+        print(__usage__)
+        sys.exit()
+    if not os.path.isdir(buildpath):
+        if not verbose:
+            outmess('Creating build directory %s\n' % (buildpath))
+        os.mkdir(buildpath)
+    if signsfile:
+        signsfile = os.path.join(buildpath, signsfile)
+    if signsfile and os.path.isfile(signsfile) and 'h-overwrite' not in options:
+        errmess(
+            'Signature file "%s" exists!!! Use --overwrite-signature to overwrite.\n' % (signsfile))
+        sys.exit()
+
+    options['emptygen'] = emptygen
+    options['debug'] = debug
+    options['verbose'] = verbose
+    if dolc == -1 and not signsfile:
+        options['do-lower'] = 0
+    else:
+        options['do-lower'] = dolc
+    if modulename:
+        options['module'] = modulename
+    if signsfile:
+        options['signsfile'] = signsfile
+    if onlyfuncs:
+        options['onlyfuncs'] = onlyfuncs
+    if skipfuncs:
+        options['skipfuncs'] = skipfuncs
+    options['dolatexdoc'] = dolatexdoc
+    options['dorestdoc'] = dorestdoc
+    options['wrapfuncs'] = wrapfuncs
+    options['buildpath'] = buildpath
+    options['include_paths'] = include_paths
+    options['requires_gil'] = not freethreading_compatible
+    options.setdefault('f2cmap_file', None)
+    return files, options
+
+
+def callcrackfortran(files, options):
+    rules.options = options
+    crackfortran.debug = options['debug']
+    crackfortran.verbose = options['verbose']
+    if 'module' in options:
+        crackfortran.f77modulename = options['module']
+    if 'skipfuncs' in options:
+        crackfortran.skipfuncs = options['skipfuncs']
+    if 'onlyfuncs' in options:
+        crackfortran.onlyfuncs = options['onlyfuncs']
+    crackfortran.include_paths[:] = options['include_paths']
+    crackfortran.dolowercase = options['do-lower']
+    postlist = crackfortran.crackfortran(files)
+    if 'signsfile' in options:
+        outmess('Saving signatures to file "%s"\n' % (options['signsfile']))
+        pyf = crackfortran.crack2fortran(postlist)
+        if options['signsfile'][-6:] == 'stdout':
+            sys.stdout.write(pyf)
+        else:
+            with open(options['signsfile'], 'w') as f:
+                f.write(pyf)
+    if options["coutput"] is None:
+        for mod in postlist:
+            mod["coutput"] = "%smodule.c" % mod["name"]
+    else:
+        for mod in postlist:
+            mod["coutput"] = options["coutput"]
+    if options["f2py_wrapper_output"] is None:
+        for mod in postlist:
+            mod["f2py_wrapper_output"] = "%s-f2pywrappers.f" % mod["name"]
+    else:
+        for mod in postlist:
+            mod["f2py_wrapper_output"] = options["f2py_wrapper_output"]
+    for mod in postlist:
+        if options["requires_gil"]:
+            mod['gil_used'] = 'Py_MOD_GIL_USED'
+        else:
+            mod['gil_used'] = 'Py_MOD_GIL_NOT_USED'
+    return postlist
+
+
+def buildmodules(lst):
+    cfuncs.buildcfuncs()
+    outmess('Building modules...\n')
+    modules, mnames, isusedby = [], [], {}
+    for item in lst:
+        if '__user__' in item['name']:
+            cb_rules.buildcallbacks(item)
+        else:
+            if 'use' in item:
+                for u in item['use'].keys():
+                    if u not in isusedby:
+                        isusedby[u] = []
+                    isusedby[u].append(item['name'])
+            modules.append(item)
+            mnames.append(item['name'])
+    ret = {}
+    for module, name in zip(modules, mnames):
+        if name in isusedby:
+            outmess('\tSkipping module "%s" which is used by %s.\n' % (
+                name, ','.join('"%s"' % s for s in isusedby[name])))
+        else:
+            um = []
+            if 'use' in module:
+                for u in module['use'].keys():
+                    if u in isusedby and u in mnames:
+                        um.append(modules[mnames.index(u)])
+                    else:
+                        outmess(
+                            f'\tModule "{name}" uses nonexisting "{u}" '
+                            'which will be ignored.\n')
+            ret[name] = {}
+            dict_append(ret[name], rules.buildmodule(module, um))
+    return ret
+
+
+def dict_append(d_out, d_in):
+    for (k, v) in d_in.items():
+        if k not in d_out:
+            d_out[k] = []
+        if isinstance(v, list):
+            d_out[k] = d_out[k] + v
+        else:
+            d_out[k].append(v)
+
+
+def run_main(comline_list):
+    """
+    Equivalent to running::
+
+        f2py 
+
+    where ``=string.join(,' ')``, but in Python.  Unless
+    ``-h`` is used, this function returns a dictionary containing
+    information on generated modules and their dependencies on source
+    files.
+
+    You cannot build extension modules with this function, that is,
+    using ``-c`` is not allowed. Use the ``compile`` command instead.
+
+    Examples
+    --------
+    The command ``f2py -m scalar scalar.f`` can be executed from Python as
+    follows.
+
+    .. literalinclude:: ../../source/f2py/code/results/run_main_session.dat
+        :language: python
+
+    """
+    crackfortran.reset_global_f2py_vars()
+    f2pydir = os.path.dirname(os.path.abspath(cfuncs.__file__))
+    fobjhsrc = os.path.join(f2pydir, 'src', 'fortranobject.h')
+    fobjcsrc = os.path.join(f2pydir, 'src', 'fortranobject.c')
+    # gh-22819 -- begin
+    parser = make_f2py_compile_parser()
+    args, comline_list = parser.parse_known_args(comline_list)
+    pyf_files, _ = filter_files("", "[.]pyf([.]src|)", comline_list)
+    # Checks that no existing modulename is defined in a pyf file
+    # TODO: Remove all this when scaninputline is replaced
+    if args.module_name:
+        if "-h" in comline_list:
+            modname = (
+                args.module_name
+            )  # Directly use from args when -h is present
+        else:
+            modname = validate_modulename(
+                pyf_files, args.module_name
+            )  # Validate modname when -h is not present
+        comline_list += ['-m', modname]  # needed for the rest of scaninputline
+    # gh-22819 -- end
+    files, options = scaninputline(comline_list)
+    auxfuncs.options = options
+    capi_maps.load_f2cmap_file(options['f2cmap_file'])
+    postlist = callcrackfortran(files, options)
+    isusedby = {}
+    for plist in postlist:
+        if 'use' in plist:
+            for u in plist['use'].keys():
+                if u not in isusedby:
+                    isusedby[u] = []
+                isusedby[u].append(plist['name'])
+    for plist in postlist:
+        if plist['block'] == 'python module' and '__user__' in plist['name']:
+            if plist['name'] in isusedby:
+                # if not quiet:
+                outmess(
+                    f'Skipping Makefile build for module "{plist["name"]}" '
+                    'which is used by {}\n'.format(
+                        ','.join(f'"{s}"' for s in isusedby[plist['name']])))
+    if 'signsfile' in options:
+        if options['verbose'] > 1:
+            outmess(
+                'Stopping. Edit the signature file and then run f2py on the signature file: ')
+            outmess('%s %s\n' %
+                    (os.path.basename(sys.argv[0]), options['signsfile']))
+        return
+    for plist in postlist:
+        if plist['block'] != 'python module':
+            if 'python module' not in options:
+                errmess(
+                    'Tip: If your original code is Fortran source then you must use -m option.\n')
+            raise TypeError('All blocks must be python module blocks but got %s' % (
+                repr(plist['block'])))
+    auxfuncs.debugoptions = options['debug']
+    f90mod_rules.options = options
+    auxfuncs.wrapfuncs = options['wrapfuncs']
+
+    ret = buildmodules(postlist)
+
+    for mn in ret.keys():
+        dict_append(ret[mn], {'csrc': fobjcsrc, 'h': fobjhsrc})
+    return ret
+
+
+def filter_files(prefix, suffix, files, remove_prefix=None):
+    """
+    Filter files by prefix and suffix.
+    """
+    filtered, rest = [], []
+    match = re.compile(prefix + r'.*' + suffix + r'\Z').match
+    if remove_prefix:
+        ind = len(prefix)
+    else:
+        ind = 0
+    for file in [x.strip() for x in files]:
+        if match(file):
+            filtered.append(file[ind:])
+        else:
+            rest.append(file)
+    return filtered, rest
+
+
+def get_prefix(module):
+    p = os.path.dirname(os.path.dirname(module.__file__))
+    return p
+
+
+class CombineIncludePaths(argparse.Action):
+    def __call__(self, parser, namespace, values, option_string=None):
+        include_paths_set = set(getattr(namespace, 'include_paths', []) or [])
+        if option_string == "--include_paths":
+            outmess("Use --include-paths or -I instead of --include_paths which will be removed")
+        if option_string == "--include-paths" or option_string == "--include_paths":
+            include_paths_set.update(values.split(':'))
+        else:
+            include_paths_set.add(values)
+        namespace.include_paths = list(include_paths_set)
+
+def f2py_parser():
+    parser = argparse.ArgumentParser(add_help=False)
+    parser.add_argument("-I", dest="include_paths", action=CombineIncludePaths)
+    parser.add_argument("--include-paths", dest="include_paths", action=CombineIncludePaths)
+    parser.add_argument("--include_paths", dest="include_paths", action=CombineIncludePaths)
+    parser.add_argument("--freethreading-compatible", dest="ftcompat", action=argparse.BooleanOptionalAction)
+    return parser
+
+def get_newer_options(iline):
+    iline = (' '.join(iline)).split()
+    parser = f2py_parser()
+    args, remain = parser.parse_known_args(iline)
+    ipaths = args.include_paths
+    if args.include_paths is None:
+        ipaths = []
+    return ipaths, args.ftcompat, remain
+
+def make_f2py_compile_parser():
+    parser = argparse.ArgumentParser(add_help=False)
+    parser.add_argument("--dep", action="append", dest="dependencies")
+    parser.add_argument("--backend", choices=['meson', 'distutils'], default='distutils')
+    parser.add_argument("-m", dest="module_name")
+    return parser
+
+def preparse_sysargv():
+    # To keep backwards bug compatibility, newer flags are handled by argparse,
+    # and `sys.argv` is passed to the rest of `f2py` as is.
+    parser = make_f2py_compile_parser()
+
+    args, remaining_argv = parser.parse_known_args()
+    sys.argv = [sys.argv[0]] + remaining_argv
+
+    backend_key = args.backend
+    if MESON_ONLY_VER and backend_key == 'distutils':
+        outmess("Cannot use distutils backend with Python>=3.12,"
+                " using meson backend instead.\n")
+        backend_key = "meson"
+
+    return {
+        "dependencies": args.dependencies or [],
+        "backend": backend_key,
+        "modulename": args.module_name,
+    }
+
+def run_compile():
+    """
+    Do it all in one call!
+    """
+    import tempfile
+
+    # Collect dependency flags, preprocess sys.argv
+    argy = preparse_sysargv()
+    modulename = argy["modulename"]
+    if modulename is None:
+        modulename = 'untitled'
+    dependencies = argy["dependencies"]
+    backend_key = argy["backend"]
+    build_backend = f2py_build_generator(backend_key)
+
+    i = sys.argv.index('-c')
+    del sys.argv[i]
+
+    remove_build_dir = 0
+    try:
+        i = sys.argv.index('--build-dir')
+    except ValueError:
+        i = None
+    if i is not None:
+        build_dir = sys.argv[i + 1]
+        del sys.argv[i + 1]
+        del sys.argv[i]
+    else:
+        remove_build_dir = 1
+        build_dir = tempfile.mkdtemp()
+
+    _reg1 = re.compile(r'--link-')
+    sysinfo_flags = [_m for _m in sys.argv[1:] if _reg1.match(_m)]
+    sys.argv = [_m for _m in sys.argv if _m not in sysinfo_flags]
+    if sysinfo_flags:
+        sysinfo_flags = [f[7:] for f in sysinfo_flags]
+
+    _reg2 = re.compile(
+        r'--((no-|)(wrap-functions|lower|freethreading-compatible)|debug-capi|quiet|skip-empty-wrappers)|-include')
+    f2py_flags = [_m for _m in sys.argv[1:] if _reg2.match(_m)]
+    sys.argv = [_m for _m in sys.argv if _m not in f2py_flags]
+    f2py_flags2 = []
+    fl = 0
+    for a in sys.argv[1:]:
+        if a in ['only:', 'skip:']:
+            fl = 1
+        elif a == ':':
+            fl = 0
+        if fl or a == ':':
+            f2py_flags2.append(a)
+    if f2py_flags2 and f2py_flags2[-1] != ':':
+        f2py_flags2.append(':')
+    f2py_flags.extend(f2py_flags2)
+    sys.argv = [_m for _m in sys.argv if _m not in f2py_flags2]
+    _reg3 = re.compile(
+        r'--((f(90)?compiler(-exec|)|compiler)=|help-compiler)')
+    flib_flags = [_m for _m in sys.argv[1:] if _reg3.match(_m)]
+    sys.argv = [_m for _m in sys.argv if _m not in flib_flags]
+    # TODO: Once distutils is dropped completely, i.e. min_ver >= 3.12, unify into --fflags
+    reg_f77_f90_flags = re.compile(r'--f(77|90)flags=')
+    reg_distutils_flags = re.compile(r'--((f(77|90)exec|opt|arch)=|(debug|noopt|noarch|help-fcompiler))')
+    fc_flags = [_m for _m in sys.argv[1:] if reg_f77_f90_flags.match(_m)]
+    distutils_flags = [_m for _m in sys.argv[1:] if reg_distutils_flags.match(_m)]
+    if not (MESON_ONLY_VER or backend_key == 'meson'):
+        fc_flags.extend(distutils_flags)
+    sys.argv = [_m for _m in sys.argv if _m not in (fc_flags + distutils_flags)]
+
+    del_list = []
+    for s in flib_flags:
+        v = '--fcompiler='
+        if s[:len(v)] == v:
+            if MESON_ONLY_VER or backend_key == 'meson':
+                outmess(
+                    "--fcompiler cannot be used with meson,"
+                    "set compiler with the FC environment variable\n"
+                    )
+            else:
+                from numpy.distutils import fcompiler
+                fcompiler.load_all_fcompiler_classes()
+                allowed_keys = list(fcompiler.fcompiler_class.keys())
+                nv = ov = s[len(v):].lower()
+                if ov not in allowed_keys:
+                    vmap = {}  # XXX
+                    try:
+                        nv = vmap[ov]
+                    except KeyError:
+                        if ov not in vmap.values():
+                            print('Unknown vendor: "%s"' % (s[len(v):]))
+                    nv = ov
+                i = flib_flags.index(s)
+                flib_flags[i] = '--fcompiler=' + nv
+                continue
+    for s in del_list:
+        i = flib_flags.index(s)
+        del flib_flags[i]
+    assert len(flib_flags) <= 2, repr(flib_flags)
+
+    _reg5 = re.compile(r'--(verbose)')
+    setup_flags = [_m for _m in sys.argv[1:] if _reg5.match(_m)]
+    sys.argv = [_m for _m in sys.argv if _m not in setup_flags]
+
+    if '--quiet' in f2py_flags:
+        setup_flags.append('--quiet')
+
+    # Ugly filter to remove everything but sources
+    sources = sys.argv[1:]
+    f2cmapopt = '--f2cmap'
+    if f2cmapopt in sys.argv:
+        i = sys.argv.index(f2cmapopt)
+        f2py_flags.extend(sys.argv[i:i + 2])
+        del sys.argv[i + 1], sys.argv[i]
+        sources = sys.argv[1:]
+
+    pyf_files, _sources = filter_files("", "[.]pyf([.]src|)", sources)
+    sources = pyf_files + _sources
+    modulename = validate_modulename(pyf_files, modulename)
+    extra_objects, sources = filter_files('', '[.](o|a|so|dylib)', sources)
+    library_dirs, sources = filter_files('-L', '', sources, remove_prefix=1)
+    libraries, sources = filter_files('-l', '', sources, remove_prefix=1)
+    undef_macros, sources = filter_files('-U', '', sources, remove_prefix=1)
+    define_macros, sources = filter_files('-D', '', sources, remove_prefix=1)
+    for i in range(len(define_macros)):
+        name_value = define_macros[i].split('=', 1)
+        if len(name_value) == 1:
+            name_value.append(None)
+        if len(name_value) == 2:
+            define_macros[i] = tuple(name_value)
+        else:
+            print('Invalid use of -D:', name_value)
+
+    # Construct wrappers / signatures / things
+    if backend_key == 'meson':
+        if not pyf_files:
+            outmess('Using meson backend\nWill pass --lower to f2py\nSee https://numpy.org/doc/stable/f2py/buildtools/meson.html\n')
+            f2py_flags.append('--lower')
+            run_main(f" {' '.join(f2py_flags)} -m {modulename} {' '.join(sources)}".split())
+        else:
+            run_main(f" {' '.join(f2py_flags)} {' '.join(pyf_files)}".split())
+
+    # Order matters here, includes are needed for run_main above
+    include_dirs, _, sources = get_newer_options(sources)
+    # Now use the builder
+    builder = build_backend(
+        modulename,
+        sources,
+        extra_objects,
+        build_dir,
+        include_dirs,
+        library_dirs,
+        libraries,
+        define_macros,
+        undef_macros,
+        f2py_flags,
+        sysinfo_flags,
+        fc_flags,
+        flib_flags,
+        setup_flags,
+        remove_build_dir,
+        {"dependencies": dependencies},
+    )
+
+    builder.compile()
+
+
+def validate_modulename(pyf_files, modulename='untitled'):
+    if len(pyf_files) > 1:
+        raise ValueError("Only one .pyf file per call")
+    if pyf_files:
+        pyff = pyf_files[0]
+        pyf_modname = auxfuncs.get_f2py_modulename(pyff)
+        if modulename != pyf_modname:
+            outmess(
+                f"Ignoring -m {modulename}.\n"
+                f"{pyff} defines {pyf_modname} to be the modulename.\n"
+            )
+            modulename = pyf_modname
+    return modulename
+
+def main():
+    if '--help-link' in sys.argv[1:]:
+        sys.argv.remove('--help-link')
+        if MESON_ONLY_VER:
+            outmess("Use --dep for meson builds\n")
+        else:
+            from numpy.distutils.system_info import show_all
+            show_all()
+        return
+
+    if '-c' in sys.argv[1:]:
+        run_compile()
+    else:
+        run_main(sys.argv[1:])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/f90mod_rules.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/f90mod_rules.py
new file mode 100644
index 0000000000000000000000000000000000000000..b1cd1532065744822991d7d1f4c9a29a216dede9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/f90mod_rules.py
@@ -0,0 +1,270 @@
+"""
+Build F90 module support for f2py2e.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+__version__ = "$Revision: 1.27 $"[10:-1]
+
+f2py_version = 'See `f2py -v`'
+
+import numpy as np
+
+from . import capi_maps
+from . import func2subr
+from .crackfortran import undo_rmbadname, undo_rmbadname1
+
+# The environment provided by auxfuncs.py is needed for some calls to eval.
+# As the needed functions cannot be determined by static inspection of the
+# code, it is safest to use import * pending a major refactoring of f2py.
+from .auxfuncs import *
+
+options = {}
+
+
+def findf90modules(m):
+    if ismodule(m):
+        return [m]
+    if not hasbody(m):
+        return []
+    ret = []
+    for b in m['body']:
+        if ismodule(b):
+            ret.append(b)
+        else:
+            ret = ret + findf90modules(b)
+    return ret
+
+fgetdims1 = """\
+      external f2pysetdata
+      logical ns
+      integer r,i
+      integer(%d) s(*)
+      ns = .FALSE.
+      if (allocated(d)) then
+         do i=1,r
+            if ((size(d,i).ne.s(i)).and.(s(i).ge.0)) then
+               ns = .TRUE.
+            end if
+         end do
+         if (ns) then
+            deallocate(d)
+         end if
+      end if
+      if ((.not.allocated(d)).and.(s(1).ge.1)) then""" % np.intp().itemsize
+
+fgetdims2 = """\
+      end if
+      if (allocated(d)) then
+         do i=1,r
+            s(i) = size(d,i)
+         end do
+      end if
+      flag = 1
+      call f2pysetdata(d,allocated(d))"""
+
+fgetdims2_sa = """\
+      end if
+      if (allocated(d)) then
+         do i=1,r
+            s(i) = size(d,i)
+         end do
+         !s(r) must be equal to len(d(1))
+      end if
+      flag = 2
+      call f2pysetdata(d,allocated(d))"""
+
+
+def buildhooks(pymod):
+    from . import rules
+    ret = {'f90modhooks': [], 'initf90modhooks': [], 'body': [],
+           'need': ['F_FUNC', 'arrayobject.h'],
+           'separatorsfor': {'includes0': '\n', 'includes': '\n'},
+           'docs': ['"Fortran 90/95 modules:\\n"'],
+           'latexdoc': []}
+    fhooks = ['']
+
+    def fadd(line, s=fhooks):
+        s[0] = '%s\n      %s' % (s[0], line)
+    doc = ['']
+
+    def dadd(line, s=doc):
+        s[0] = '%s\n%s' % (s[0], line)
+
+    usenames = getuseblocks(pymod)
+    for m in findf90modules(pymod):
+        sargs, fargs, efargs, modobjs, notvars, onlyvars = [], [], [], [], [
+            m['name']], []
+        sargsp = []
+        ifargs = []
+        mfargs = []
+        if hasbody(m):
+            for b in m['body']:
+                notvars.append(b['name'])
+        for n in m['vars'].keys():
+            var = m['vars'][n]
+
+            if (n not in notvars and isvariable(var)) and (not l_or(isintent_hide, isprivate)(var)):
+                onlyvars.append(n)
+                mfargs.append(n)
+        outmess('\t\tConstructing F90 module support for "%s"...\n' %
+                (m['name']))
+        if len(onlyvars) == 0 and len(notvars) == 1 and m['name'] in notvars:
+            outmess(f"\t\t\tSkipping {m['name']} since there are no public vars/func in this module...\n")
+            continue
+
+        # gh-25186
+        if m['name'] in usenames and containscommon(m):
+            outmess(f"\t\t\tSkipping {m['name']} since it is in 'use' and contains a common block...\n")
+            continue
+        if onlyvars:
+            outmess('\t\t  Variables: %s\n' % (' '.join(onlyvars)))
+        chooks = ['']
+
+        def cadd(line, s=chooks):
+            s[0] = '%s\n%s' % (s[0], line)
+        ihooks = ['']
+
+        def iadd(line, s=ihooks):
+            s[0] = '%s\n%s' % (s[0], line)
+
+        vrd = capi_maps.modsign2map(m)
+        cadd('static FortranDataDef f2py_%s_def[] = {' % (m['name']))
+        dadd('\\subsection{Fortran 90/95 module \\texttt{%s}}\n' % (m['name']))
+        if hasnote(m):
+            note = m['note']
+            if isinstance(note, list):
+                note = '\n'.join(note)
+            dadd(note)
+        if onlyvars:
+            dadd('\\begin{description}')
+        for n in onlyvars:
+            var = m['vars'][n]
+            modobjs.append(n)
+            ct = capi_maps.getctype(var)
+            at = capi_maps.c2capi_map[ct]
+            dm = capi_maps.getarrdims(n, var)
+            dms = dm['dims'].replace('*', '-1').strip()
+            dms = dms.replace(':', '-1').strip()
+            if not dms:
+                dms = '-1'
+            use_fgetdims2 = fgetdims2
+            cadd('\t{"%s",%s,{{%s}},%s, %s},' %
+                 (undo_rmbadname1(n), dm['rank'], dms, at,
+                  capi_maps.get_elsize(var)))
+            dadd('\\item[]{{}\\verb@%s@{}}' %
+                 (capi_maps.getarrdocsign(n, var)))
+            if hasnote(var):
+                note = var['note']
+                if isinstance(note, list):
+                    note = '\n'.join(note)
+                dadd('--- %s' % (note))
+            if isallocatable(var):
+                fargs.append('f2py_%s_getdims_%s' % (m['name'], n))
+                efargs.append(fargs[-1])
+                sargs.append(
+                    'void (*%s)(int*,npy_intp*,void(*)(char*,npy_intp*),int*)' % (n))
+                sargsp.append('void (*)(int*,npy_intp*,void(*)(char*,npy_intp*),int*)')
+                iadd('\tf2py_%s_def[i_f2py++].func = %s;' % (m['name'], n))
+                fadd('subroutine %s(r,s,f2pysetdata,flag)' % (fargs[-1]))
+                fadd('use %s, only: d => %s\n' %
+                     (m['name'], undo_rmbadname1(n)))
+                fadd('integer flag\n')
+                fhooks[0] = fhooks[0] + fgetdims1
+                dms = range(1, int(dm['rank']) + 1)
+                fadd(' allocate(d(%s))\n' %
+                     (','.join(['s(%s)' % i for i in dms])))
+                fhooks[0] = fhooks[0] + use_fgetdims2
+                fadd('end subroutine %s' % (fargs[-1]))
+            else:
+                fargs.append(n)
+                sargs.append('char *%s' % (n))
+                sargsp.append('char*')
+                iadd('\tf2py_%s_def[i_f2py++].data = %s;' % (m['name'], n))
+        if onlyvars:
+            dadd('\\end{description}')
+        if hasbody(m):
+            for b in m['body']:
+                if not isroutine(b):
+                    outmess("f90mod_rules.buildhooks:"
+                            f" skipping {b['block']} {b['name']}\n")
+                    continue
+                modobjs.append('%s()' % (b['name']))
+                b['modulename'] = m['name']
+                api, wrap = rules.buildapi(b)
+                if isfunction(b):
+                    fhooks[0] = fhooks[0] + wrap
+                    fargs.append('f2pywrap_%s_%s' % (m['name'], b['name']))
+                    ifargs.append(func2subr.createfuncwrapper(b, signature=1))
+                else:
+                    if wrap:
+                        fhooks[0] = fhooks[0] + wrap
+                        fargs.append('f2pywrap_%s_%s' % (m['name'], b['name']))
+                        ifargs.append(
+                            func2subr.createsubrwrapper(b, signature=1))
+                    else:
+                        fargs.append(b['name'])
+                        mfargs.append(fargs[-1])
+                api['externroutines'] = []
+                ar = applyrules(api, vrd)
+                ar['docs'] = []
+                ar['docshort'] = []
+                ret = dictappend(ret, ar)
+                cadd(('\t{"%s",-1,{{-1}},0,0,NULL,(void *)'
+                      'f2py_rout_#modulename#_%s_%s,'
+                      'doc_f2py_rout_#modulename#_%s_%s},')
+                     % (b['name'], m['name'], b['name'], m['name'], b['name']))
+                sargs.append('char *%s' % (b['name']))
+                sargsp.append('char *')
+                iadd('\tf2py_%s_def[i_f2py++].data = %s;' %
+                     (m['name'], b['name']))
+        cadd('\t{NULL}\n};\n')
+        iadd('}')
+        ihooks[0] = 'static void f2py_setup_%s(%s) {\n\tint i_f2py=0;%s' % (
+            m['name'], ','.join(sargs), ihooks[0])
+        if '_' in m['name']:
+            F_FUNC = 'F_FUNC_US'
+        else:
+            F_FUNC = 'F_FUNC'
+        iadd('extern void %s(f2pyinit%s,F2PYINIT%s)(void (*)(%s));'
+             % (F_FUNC, m['name'], m['name'].upper(), ','.join(sargsp)))
+        iadd('static void f2py_init_%s(void) {' % (m['name']))
+        iadd('\t%s(f2pyinit%s,F2PYINIT%s)(f2py_setup_%s);'
+             % (F_FUNC, m['name'], m['name'].upper(), m['name']))
+        iadd('}\n')
+        ret['f90modhooks'] = ret['f90modhooks'] + chooks + ihooks
+        ret['initf90modhooks'] = ['\tPyDict_SetItemString(d, "%s", PyFortranObject_New(f2py_%s_def,f2py_init_%s));' % (
+            m['name'], m['name'], m['name'])] + ret['initf90modhooks']
+        fadd('')
+        fadd('subroutine f2pyinit%s(f2pysetupfunc)' % (m['name']))
+        if mfargs:
+            for a in undo_rmbadname(mfargs):
+                fadd('use %s, only : %s' % (m['name'], a))
+        if ifargs:
+            fadd(' '.join(['interface'] + ifargs))
+            fadd('end interface')
+        fadd('external f2pysetupfunc')
+        if efargs:
+            for a in undo_rmbadname(efargs):
+                fadd('external %s' % (a))
+        fadd('call f2pysetupfunc(%s)' % (','.join(undo_rmbadname(fargs))))
+        fadd('end subroutine f2pyinit%s\n' % (m['name']))
+
+        dadd('\n'.join(ret['latexdoc']).replace(
+            r'\subsection{', r'\subsubsection{'))
+
+        ret['latexdoc'] = []
+        ret['docs'].append('"\t%s --- %s"' % (m['name'],
+                                              ','.join(undo_rmbadname(modobjs))))
+
+    ret['routine_defs'] = ''
+    ret['doc'] = []
+    ret['docshort'] = []
+    ret['latexdoc'] = doc[0]
+    if len(ret['docs']) <= 1:
+        ret['docs'] = ''
+    return ret, fhooks[0]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/func2subr.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/func2subr.py
new file mode 100644
index 0000000000000000000000000000000000000000..b9aa9fc007cb8efdfdd13138671f0412d45d63a2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/func2subr.py
@@ -0,0 +1,323 @@
+"""
+
+Rules for building C/API module with f2py2e.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+import copy
+
+from .auxfuncs import (
+    getfortranname, isexternal, isfunction, isfunction_wrap, isintent_in,
+    isintent_out, islogicalfunction, ismoduleroutine, isscalar,
+    issubroutine, issubroutine_wrap, outmess, show
+)
+
+from ._isocbind import isoc_kindmap
+
+def var2fixfortran(vars, a, fa=None, f90mode=None):
+    if fa is None:
+        fa = a
+    if a not in vars:
+        show(vars)
+        outmess('var2fixfortran: No definition for argument "%s".\n' % a)
+        return ''
+    if 'typespec' not in vars[a]:
+        show(vars[a])
+        outmess('var2fixfortran: No typespec for argument "%s".\n' % a)
+        return ''
+    vardef = vars[a]['typespec']
+    if vardef == 'type' and 'typename' in vars[a]:
+        vardef = '%s(%s)' % (vardef, vars[a]['typename'])
+    selector = {}
+    lk = ''
+    if 'kindselector' in vars[a]:
+        selector = vars[a]['kindselector']
+        lk = 'kind'
+    elif 'charselector' in vars[a]:
+        selector = vars[a]['charselector']
+        lk = 'len'
+    if '*' in selector:
+        if f90mode:
+            if selector['*'] in ['*', ':', '(*)']:
+                vardef = '%s(len=*)' % (vardef)
+            else:
+                vardef = '%s(%s=%s)' % (vardef, lk, selector['*'])
+        else:
+            if selector['*'] in ['*', ':']:
+                vardef = '%s*(%s)' % (vardef, selector['*'])
+            else:
+                vardef = '%s*%s' % (vardef, selector['*'])
+    else:
+        if 'len' in selector:
+            vardef = '%s(len=%s' % (vardef, selector['len'])
+            if 'kind' in selector:
+                vardef = '%s,kind=%s)' % (vardef, selector['kind'])
+            else:
+                vardef = '%s)' % (vardef)
+        elif 'kind' in selector:
+            vardef = '%s(kind=%s)' % (vardef, selector['kind'])
+
+    vardef = '%s %s' % (vardef, fa)
+    if 'dimension' in vars[a]:
+        vardef = '%s(%s)' % (vardef, ','.join(vars[a]['dimension']))
+    return vardef
+
+def useiso_c_binding(rout):
+    useisoc = False
+    for key, value in rout['vars'].items():
+        kind_value = value.get('kindselector', {}).get('kind')
+        if kind_value in isoc_kindmap:
+            return True
+    return useisoc
+
+def createfuncwrapper(rout, signature=0):
+    assert isfunction(rout)
+
+    extra_args = []
+    vars = rout['vars']
+    for a in rout['args']:
+        v = rout['vars'][a]
+        for i, d in enumerate(v.get('dimension', [])):
+            if d == ':':
+                dn = 'f2py_%s_d%s' % (a, i)
+                dv = dict(typespec='integer', intent=['hide'])
+                dv['='] = 'shape(%s, %s)' % (a, i)
+                extra_args.append(dn)
+                vars[dn] = dv
+                v['dimension'][i] = dn
+    rout['args'].extend(extra_args)
+    need_interface = bool(extra_args)
+
+    ret = ['']
+
+    def add(line, ret=ret):
+        ret[0] = '%s\n      %s' % (ret[0], line)
+    name = rout['name']
+    fortranname = getfortranname(rout)
+    f90mode = ismoduleroutine(rout)
+    newname = '%sf2pywrap' % (name)
+
+    if newname not in vars:
+        vars[newname] = vars[name]
+        args = [newname] + rout['args'][1:]
+    else:
+        args = [newname] + rout['args']
+
+    l_tmpl = var2fixfortran(vars, name, '@@@NAME@@@', f90mode)
+    if l_tmpl[:13] == 'character*(*)':
+        if f90mode:
+            l_tmpl = 'character(len=10)' + l_tmpl[13:]
+        else:
+            l_tmpl = 'character*10' + l_tmpl[13:]
+        charselect = vars[name]['charselector']
+        if charselect.get('*', '') == '(*)':
+            charselect['*'] = '10'
+
+    l1 = l_tmpl.replace('@@@NAME@@@', newname)
+    rl = None
+
+    useisoc = useiso_c_binding(rout)
+    sargs = ', '.join(args)
+    if f90mode:
+        # gh-23598 fix warning
+        # Essentially, this gets called again with modules where the name of the
+        # function is added to the arguments, which is not required, and removed
+        sargs = sargs.replace(f"{name}, ", '')
+        args = [arg for arg in args if arg != name]
+        rout['args'] = args
+        add('subroutine f2pywrap_%s_%s (%s)' %
+            (rout['modulename'], name, sargs))
+        if not signature:
+            add('use %s, only : %s' % (rout['modulename'], fortranname))
+        if useisoc:
+            add('use iso_c_binding')
+    else:
+        add('subroutine f2pywrap%s (%s)' % (name, sargs))
+        if useisoc:
+            add('use iso_c_binding')
+        if not need_interface:
+            add('external %s' % (fortranname))
+            rl = l_tmpl.replace('@@@NAME@@@', '') + ' ' + fortranname
+
+    if need_interface:
+        for line in rout['saved_interface'].split('\n'):
+            if line.lstrip().startswith('use ') and '__user__' not in line:
+                add(line)
+
+    args = args[1:]
+    dumped_args = []
+    for a in args:
+        if isexternal(vars[a]):
+            add('external %s' % (a))
+            dumped_args.append(a)
+    for a in args:
+        if a in dumped_args:
+            continue
+        if isscalar(vars[a]):
+            add(var2fixfortran(vars, a, f90mode=f90mode))
+            dumped_args.append(a)
+    for a in args:
+        if a in dumped_args:
+            continue
+        if isintent_in(vars[a]):
+            add(var2fixfortran(vars, a, f90mode=f90mode))
+            dumped_args.append(a)
+    for a in args:
+        if a in dumped_args:
+            continue
+        add(var2fixfortran(vars, a, f90mode=f90mode))
+
+    add(l1)
+    if rl is not None:
+        add(rl)
+
+    if need_interface:
+        if f90mode:
+            # f90 module already defines needed interface
+            pass
+        else:
+            add('interface')
+            add(rout['saved_interface'].lstrip())
+            add('end interface')
+
+    sargs = ', '.join([a for a in args if a not in extra_args])
+
+    if not signature:
+        if islogicalfunction(rout):
+            add('%s = .not.(.not.%s(%s))' % (newname, fortranname, sargs))
+        else:
+            add('%s = %s(%s)' % (newname, fortranname, sargs))
+    if f90mode:
+        add('end subroutine f2pywrap_%s_%s' % (rout['modulename'], name))
+    else:
+        add('end')
+    return ret[0]
+
+
+def createsubrwrapper(rout, signature=0):
+    assert issubroutine(rout)
+
+    extra_args = []
+    vars = rout['vars']
+    for a in rout['args']:
+        v = rout['vars'][a]
+        for i, d in enumerate(v.get('dimension', [])):
+            if d == ':':
+                dn = 'f2py_%s_d%s' % (a, i)
+                dv = dict(typespec='integer', intent=['hide'])
+                dv['='] = 'shape(%s, %s)' % (a, i)
+                extra_args.append(dn)
+                vars[dn] = dv
+                v['dimension'][i] = dn
+    rout['args'].extend(extra_args)
+    need_interface = bool(extra_args)
+
+    ret = ['']
+
+    def add(line, ret=ret):
+        ret[0] = '%s\n      %s' % (ret[0], line)
+    name = rout['name']
+    fortranname = getfortranname(rout)
+    f90mode = ismoduleroutine(rout)
+
+    args = rout['args']
+
+    useisoc = useiso_c_binding(rout)
+    sargs = ', '.join(args)
+    if f90mode:
+        add('subroutine f2pywrap_%s_%s (%s)' %
+            (rout['modulename'], name, sargs))
+        if useisoc:
+            add('use iso_c_binding')
+        if not signature:
+            add('use %s, only : %s' % (rout['modulename'], fortranname))
+    else:
+        add('subroutine f2pywrap%s (%s)' % (name, sargs))
+        if useisoc:
+            add('use iso_c_binding')
+        if not need_interface:
+            add('external %s' % (fortranname))
+
+    if need_interface:
+        for line in rout['saved_interface'].split('\n'):
+            if line.lstrip().startswith('use ') and '__user__' not in line:
+                add(line)
+
+    dumped_args = []
+    for a in args:
+        if isexternal(vars[a]):
+            add('external %s' % (a))
+            dumped_args.append(a)
+    for a in args:
+        if a in dumped_args:
+            continue
+        if isscalar(vars[a]):
+            add(var2fixfortran(vars, a, f90mode=f90mode))
+            dumped_args.append(a)
+    for a in args:
+        if a in dumped_args:
+            continue
+        add(var2fixfortran(vars, a, f90mode=f90mode))
+
+    if need_interface:
+        if f90mode:
+            # f90 module already defines needed interface
+            pass
+        else:
+            add('interface')
+            for line in rout['saved_interface'].split('\n'):
+                if line.lstrip().startswith('use ') and '__user__' in line:
+                    continue
+                add(line)
+            add('end interface')
+
+    sargs = ', '.join([a for a in args if a not in extra_args])
+
+    if not signature:
+        add('call %s(%s)' % (fortranname, sargs))
+    if f90mode:
+        add('end subroutine f2pywrap_%s_%s' % (rout['modulename'], name))
+    else:
+        add('end')
+    return ret[0]
+
+
+def assubr(rout):
+    if isfunction_wrap(rout):
+        fortranname = getfortranname(rout)
+        name = rout['name']
+        outmess('\t\tCreating wrapper for Fortran function "%s"("%s")...\n' % (
+            name, fortranname))
+        rout = copy.copy(rout)
+        fname = name
+        rname = fname
+        if 'result' in rout:
+            rname = rout['result']
+            rout['vars'][fname] = rout['vars'][rname]
+        fvar = rout['vars'][fname]
+        if not isintent_out(fvar):
+            if 'intent' not in fvar:
+                fvar['intent'] = []
+            fvar['intent'].append('out')
+            flag = 1
+            for i in fvar['intent']:
+                if i.startswith('out='):
+                    flag = 0
+                    break
+            if flag:
+                fvar['intent'].append('out=%s' % (rname))
+        rout['args'][:] = [fname] + rout['args']
+        return rout, createfuncwrapper(rout)
+    if issubroutine_wrap(rout):
+        fortranname = getfortranname(rout)
+        name = rout['name']
+        outmess('\t\tCreating wrapper for Fortran subroutine "%s"("%s")...\n'
+                % (name, fortranname))
+        rout = copy.copy(rout)
+        return rout, createsubrwrapper(rout)
+    return rout, ''
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/rules.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/rules.py
new file mode 100644
index 0000000000000000000000000000000000000000..84137811a4462b03e8e4e72d09564fbbc4086ecb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/rules.py
@@ -0,0 +1,1578 @@
+"""
+
+Rules for building C/API module with f2py2e.
+
+Here is a skeleton of a new wrapper function (13Dec2001):
+
+wrapper_function(args)
+  declarations
+  get_python_arguments, say, `a' and `b'
+
+  get_a_from_python
+  if (successful) {
+
+    get_b_from_python
+    if (successful) {
+
+      callfortran
+      if (successful) {
+
+        put_a_to_python
+        if (successful) {
+
+          put_b_to_python
+          if (successful) {
+
+            buildvalue = ...
+
+          }
+
+        }
+
+      }
+
+    }
+    cleanup_b
+
+  }
+  cleanup_a
+
+  return buildvalue
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+import os
+import sys
+import time
+import copy
+from pathlib import Path
+
+# __version__.version is now the same as the NumPy version
+from . import __version__
+
+from .auxfuncs import (
+    applyrules, debugcapi, dictappend, errmess, gentitle, getargs2,
+    hascallstatement, hasexternals, hasinitvalue, hasnote,
+    hasresultnote, isarray, isarrayofstrings, ischaracter,
+    ischaracterarray, ischaracter_or_characterarray, iscomplex,
+    iscomplexarray, iscomplexfunction, iscomplexfunction_warn,
+    isdummyroutine, isexternal, isfunction, isfunction_wrap, isint1,
+    isint1array, isintent_aux, isintent_c, isintent_callback,
+    isintent_copy, isintent_hide, isintent_inout, isintent_nothide,
+    isintent_out, isintent_overwrite, islogical, islong_complex,
+    islong_double, islong_doublefunction, islong_long,
+    islong_longfunction, ismoduleroutine, isoptional, isrequired,
+    isscalar, issigned_long_longarray, isstring, isstringarray,
+    isstringfunction, issubroutine, isattr_value,
+    issubroutine_wrap, isthreadsafe, isunsigned, isunsigned_char,
+    isunsigned_chararray, isunsigned_long_long,
+    isunsigned_long_longarray, isunsigned_short, isunsigned_shortarray,
+    l_and, l_not, l_or, outmess, replace, stripcomma, requiresf90wrapper
+)
+
+from . import capi_maps
+from . import cfuncs
+from . import common_rules
+from . import use_rules
+from . import f90mod_rules
+from . import func2subr
+
+f2py_version = __version__.version
+numpy_version = __version__.version
+
+options = {}
+sepdict = {}
+# for k in ['need_cfuncs']: sepdict[k]=','
+for k in ['decl',
+          'frompyobj',
+          'cleanupfrompyobj',
+          'topyarr', 'method',
+          'pyobjfrom', 'closepyobjfrom',
+          'freemem',
+          'userincludes',
+          'includes0', 'includes', 'typedefs', 'typedefs_generated',
+          'cppmacros', 'cfuncs', 'callbacks',
+          'latexdoc',
+          'restdoc',
+          'routine_defs', 'externroutines',
+          'initf2pywraphooks',
+          'commonhooks', 'initcommonhooks',
+          'f90modhooks', 'initf90modhooks']:
+    sepdict[k] = '\n'
+
+#################### Rules for C/API module #################
+
+generationtime = int(os.environ.get('SOURCE_DATE_EPOCH', time.time()))
+module_rules = {
+    'modulebody': """\
+/* File: #modulename#module.c
+ * This file is auto-generated with f2py (version:#f2py_version#).
+ * f2py is a Fortran to Python Interface Generator (FPIG), Second Edition,
+ * written by Pearu Peterson .
+ * Generation date: """ + time.asctime(time.gmtime(generationtime)) + """
+ * Do not edit this file directly unless you know what you are doing!!!
+ */
+
+#ifdef __cplusplus
+extern \"C\" {
+#endif
+
+#ifndef PY_SSIZE_T_CLEAN
+#define PY_SSIZE_T_CLEAN
+#endif /* PY_SSIZE_T_CLEAN */
+
+/* Unconditionally included */
+#include 
+#include 
+
+""" + gentitle("See f2py2e/cfuncs.py: includes") + """
+#includes#
+#includes0#
+
+""" + gentitle("See f2py2e/rules.py: mod_rules['modulebody']") + """
+static PyObject *#modulename#_error;
+static PyObject *#modulename#_module;
+
+""" + gentitle("See f2py2e/cfuncs.py: typedefs") + """
+#typedefs#
+
+""" + gentitle("See f2py2e/cfuncs.py: typedefs_generated") + """
+#typedefs_generated#
+
+""" + gentitle("See f2py2e/cfuncs.py: cppmacros") + """
+#cppmacros#
+
+""" + gentitle("See f2py2e/cfuncs.py: cfuncs") + """
+#cfuncs#
+
+""" + gentitle("See f2py2e/cfuncs.py: userincludes") + """
+#userincludes#
+
+""" + gentitle("See f2py2e/capi_rules.py: usercode") + """
+#usercode#
+
+/* See f2py2e/rules.py */
+#externroutines#
+
+""" + gentitle("See f2py2e/capi_rules.py: usercode1") + """
+#usercode1#
+
+""" + gentitle("See f2py2e/cb_rules.py: buildcallback") + """
+#callbacks#
+
+""" + gentitle("See f2py2e/rules.py: buildapi") + """
+#body#
+
+""" + gentitle("See f2py2e/f90mod_rules.py: buildhooks") + """
+#f90modhooks#
+
+""" + gentitle("See f2py2e/rules.py: module_rules['modulebody']") + """
+
+""" + gentitle("See f2py2e/common_rules.py: buildhooks") + """
+#commonhooks#
+
+""" + gentitle("See f2py2e/rules.py") + """
+
+static FortranDataDef f2py_routine_defs[] = {
+#routine_defs#
+    {NULL}
+};
+
+static PyMethodDef f2py_module_methods[] = {
+#pymethoddef#
+    {NULL,NULL}
+};
+
+static struct PyModuleDef moduledef = {
+    PyModuleDef_HEAD_INIT,
+    "#modulename#",
+    NULL,
+    -1,
+    f2py_module_methods,
+    NULL,
+    NULL,
+    NULL,
+    NULL
+};
+
+PyMODINIT_FUNC PyInit_#modulename#(void) {
+    int i;
+    PyObject *m,*d, *s, *tmp;
+    m = #modulename#_module = PyModule_Create(&moduledef);
+    Py_SET_TYPE(&PyFortran_Type, &PyType_Type);
+    import_array();
+    if (PyErr_Occurred())
+        {PyErr_SetString(PyExc_ImportError, \"can't initialize module #modulename# (failed to import numpy)\"); return m;}
+    d = PyModule_GetDict(m);
+    s = PyUnicode_FromString(\"#f2py_version#\");
+    PyDict_SetItemString(d, \"__version__\", s);
+    Py_DECREF(s);
+    s = PyUnicode_FromString(
+        \"This module '#modulename#' is auto-generated with f2py (version:#f2py_version#).\\nFunctions:\\n\"\n#docs#\".\");
+    PyDict_SetItemString(d, \"__doc__\", s);
+    Py_DECREF(s);
+    s = PyUnicode_FromString(\"""" + numpy_version + """\");
+    PyDict_SetItemString(d, \"__f2py_numpy_version__\", s);
+    Py_DECREF(s);
+    #modulename#_error = PyErr_NewException (\"#modulename#.error\", NULL, NULL);
+    /*
+     * Store the error object inside the dict, so that it could get deallocated.
+     * (in practice, this is a module, so it likely will not and cannot.)
+     */
+    PyDict_SetItemString(d, \"_#modulename#_error\", #modulename#_error);
+    Py_DECREF(#modulename#_error);
+    for(i=0;f2py_routine_defs[i].name!=NULL;i++) {
+        tmp = PyFortranObject_NewAsAttr(&f2py_routine_defs[i]);
+        PyDict_SetItemString(d, f2py_routine_defs[i].name, tmp);
+        Py_DECREF(tmp);
+    }
+#initf2pywraphooks#
+#initf90modhooks#
+#initcommonhooks#
+#interface_usercode#
+
+#if Py_GIL_DISABLED
+    // signal whether this module supports running with the GIL disabled
+    PyUnstable_Module_SetGIL(m , #gil_used#);
+#endif
+
+#ifdef F2PY_REPORT_ATEXIT
+    if (! PyErr_Occurred())
+        on_exit(f2py_report_on_exit,(void*)\"#modulename#\");
+#endif
+
+    if (PyType_Ready(&PyFortran_Type) < 0) {
+        return NULL;
+    }
+
+    return m;
+}
+#ifdef __cplusplus
+}
+#endif
+""",
+    'separatorsfor': {'latexdoc': '\n\n',
+                      'restdoc': '\n\n'},
+    'latexdoc': ['\\section{Module \\texttt{#texmodulename#}}\n',
+                 '#modnote#\n',
+                 '#latexdoc#'],
+    'restdoc': ['Module #modulename#\n' + '=' * 80,
+                '\n#restdoc#']
+}
+
+defmod_rules = [
+    {'body': '/*eof body*/',
+     'method': '/*eof method*/',
+     'externroutines': '/*eof externroutines*/',
+     'routine_defs': '/*eof routine_defs*/',
+     'initf90modhooks': '/*eof initf90modhooks*/',
+     'initf2pywraphooks': '/*eof initf2pywraphooks*/',
+     'initcommonhooks': '/*eof initcommonhooks*/',
+     'latexdoc': '',
+     'restdoc': '',
+     'modnote': {hasnote: '#note#', l_not(hasnote): ''},
+     }
+]
+
+routine_rules = {
+    'separatorsfor': sepdict,
+    'body': """
+#begintitle#
+static char doc_#apiname#[] = \"\\\n#docreturn##name#(#docsignatureshort#)\\n\\nWrapper for ``#name#``.\\\n\\n#docstrsigns#\";
+/* #declfortranroutine# */
+static PyObject *#apiname#(const PyObject *capi_self,
+                           PyObject *capi_args,
+                           PyObject *capi_keywds,
+                           #functype# (*f2py_func)(#callprotoargument#)) {
+    PyObject * volatile capi_buildvalue = NULL;
+    volatile int f2py_success = 1;
+#decl#
+    static char *capi_kwlist[] = {#kwlist##kwlistopt##kwlistxa#NULL};
+#usercode#
+#routdebugenter#
+#ifdef F2PY_REPORT_ATEXIT
+f2py_start_clock();
+#endif
+    if (!PyArg_ParseTupleAndKeywords(capi_args,capi_keywds,\\
+        \"#argformat#|#keyformat##xaformat#:#pyname#\",\\
+        capi_kwlist#args_capi##keys_capi##keys_xa#))\n        return NULL;
+#frompyobj#
+/*end of frompyobj*/
+#ifdef F2PY_REPORT_ATEXIT
+f2py_start_call_clock();
+#endif
+#callfortranroutine#
+if (PyErr_Occurred())
+  f2py_success = 0;
+#ifdef F2PY_REPORT_ATEXIT
+f2py_stop_call_clock();
+#endif
+/*end of callfortranroutine*/
+        if (f2py_success) {
+#pyobjfrom#
+/*end of pyobjfrom*/
+        CFUNCSMESS(\"Building return value.\\n\");
+        capi_buildvalue = Py_BuildValue(\"#returnformat#\"#return#);
+/*closepyobjfrom*/
+#closepyobjfrom#
+        } /*if (f2py_success) after callfortranroutine*/
+/*cleanupfrompyobj*/
+#cleanupfrompyobj#
+    if (capi_buildvalue == NULL) {
+#routdebugfailure#
+    } else {
+#routdebugleave#
+    }
+    CFUNCSMESS(\"Freeing memory.\\n\");
+#freemem#
+#ifdef F2PY_REPORT_ATEXIT
+f2py_stop_clock();
+#endif
+    return capi_buildvalue;
+}
+#endtitle#
+""",
+    'routine_defs': '#routine_def#',
+    'initf2pywraphooks': '#initf2pywraphook#',
+    'externroutines': '#declfortranroutine#',
+    'doc': '#docreturn##name#(#docsignature#)',
+    'docshort': '#docreturn##name#(#docsignatureshort#)',
+    'docs': '"    #docreturn##name#(#docsignature#)\\n"\n',
+    'need': ['arrayobject.h', 'CFUNCSMESS', 'MINMAX'],
+    'cppmacros': {debugcapi: '#define DEBUGCFUNCS'},
+    'latexdoc': ['\\subsection{Wrapper function \\texttt{#texname#}}\n',
+                 """
+\\noindent{{}\\verb@#docreturn##name#@{}}\\texttt{(#latexdocsignatureshort#)}
+#routnote#
+
+#latexdocstrsigns#
+"""],
+    'restdoc': ['Wrapped function ``#name#``\n' + '-' * 80,
+
+                ]
+}
+
+################## Rules for C/API function ##############
+
+rout_rules = [
+    {  # Init
+        'separatorsfor': {'callfortranroutine': '\n', 'routdebugenter': '\n', 'decl': '\n',
+                          'routdebugleave': '\n', 'routdebugfailure': '\n',
+                          'setjmpbuf': ' || ',
+                          'docstrreq': '\n', 'docstropt': '\n', 'docstrout': '\n',
+                          'docstrcbs': '\n', 'docstrsigns': '\\n"\n"',
+                          'latexdocstrsigns': '\n',
+                          'latexdocstrreq': '\n', 'latexdocstropt': '\n',
+                          'latexdocstrout': '\n', 'latexdocstrcbs': '\n',
+                          },
+        'kwlist': '', 'kwlistopt': '', 'callfortran': '', 'callfortranappend': '',
+        'docsign': '', 'docsignopt': '', 'decl': '/*decl*/',
+        'freemem': '/*freemem*/',
+        'docsignshort': '', 'docsignoptshort': '',
+        'docstrsigns': '', 'latexdocstrsigns': '',
+        'docstrreq': '\\nParameters\\n----------',
+        'docstropt': '\\nOther Parameters\\n----------------',
+        'docstrout': '\\nReturns\\n-------',
+        'docstrcbs': '\\nNotes\\n-----\\nCall-back functions::\\n',
+        'latexdocstrreq': '\\noindent Required arguments:',
+        'latexdocstropt': '\\noindent Optional arguments:',
+        'latexdocstrout': '\\noindent Return objects:',
+        'latexdocstrcbs': '\\noindent Call-back functions:',
+        'args_capi': '', 'keys_capi': '', 'functype': '',
+        'frompyobj': '/*frompyobj*/',
+        # this list will be reversed
+        'cleanupfrompyobj': ['/*end of cleanupfrompyobj*/'],
+        'pyobjfrom': '/*pyobjfrom*/',
+        # this list will be reversed
+        'closepyobjfrom': ['/*end of closepyobjfrom*/'],
+        'topyarr': '/*topyarr*/', 'routdebugleave': '/*routdebugleave*/',
+        'routdebugenter': '/*routdebugenter*/',
+        'routdebugfailure': '/*routdebugfailure*/',
+        'callfortranroutine': '/*callfortranroutine*/',
+        'argformat': '', 'keyformat': '', 'need_cfuncs': '',
+        'docreturn': '', 'return': '', 'returnformat': '', 'rformat': '',
+        'kwlistxa': '', 'keys_xa': '', 'xaformat': '', 'docsignxa': '', 'docsignxashort': '',
+        'initf2pywraphook': '',
+        'routnote': {hasnote: '--- #note#', l_not(hasnote): ''},
+    }, {
+        'apiname': 'f2py_rout_#modulename#_#name#',
+        'pyname': '#modulename#.#name#',
+        'decl': '',
+        '_check': l_not(ismoduleroutine)
+    }, {
+        'apiname': 'f2py_rout_#modulename#_#f90modulename#_#name#',
+        'pyname': '#modulename#.#f90modulename#.#name#',
+        'decl': '',
+        '_check': ismoduleroutine
+    }, {  # Subroutine
+        'functype': 'void',
+        'declfortranroutine': {l_and(l_not(l_or(ismoduleroutine, isintent_c)), l_not(isdummyroutine)): 'extern void #F_FUNC#(#fortranname#,#FORTRANNAME#)(#callprotoargument#);',
+                               l_and(l_not(ismoduleroutine), isintent_c, l_not(isdummyroutine)): 'extern void #fortranname#(#callprotoargument#);',
+                               ismoduleroutine: '',
+                               isdummyroutine: ''
+                               },
+        'routine_def': {
+            l_not(l_or(ismoduleroutine, isintent_c, isdummyroutine)):
+            '    {\"#name#\",-1,{{-1}},0,0,(char *)'
+            '  #F_FUNC#(#fortranname#,#FORTRANNAME#),'
+            '  (f2py_init_func)#apiname#,doc_#apiname#},',
+            l_and(l_not(ismoduleroutine), isintent_c, l_not(isdummyroutine)):
+            '    {\"#name#\",-1,{{-1}},0,0,(char *)#fortranname#,'
+            '  (f2py_init_func)#apiname#,doc_#apiname#},',
+            l_and(l_not(ismoduleroutine), isdummyroutine):
+            '    {\"#name#\",-1,{{-1}},0,0,NULL,'
+            '  (f2py_init_func)#apiname#,doc_#apiname#},',
+        },
+        'need': {l_and(l_not(l_or(ismoduleroutine, isintent_c)), l_not(isdummyroutine)): 'F_FUNC'},
+        'callfortranroutine': [
+            {debugcapi: [
+                """    fprintf(stderr,\"debug-capi:Fortran subroutine `#fortranname#(#callfortran#)\'\\n\");"""]},
+            {hasexternals: """\
+        if (#setjmpbuf#) {
+            f2py_success = 0;
+        } else {"""},
+            {isthreadsafe: '            Py_BEGIN_ALLOW_THREADS'},
+            {hascallstatement: '''                #callstatement#;
+                /*(*f2py_func)(#callfortran#);*/'''},
+            {l_not(l_or(hascallstatement, isdummyroutine))
+                   : '                (*f2py_func)(#callfortran#);'},
+            {isthreadsafe: '            Py_END_ALLOW_THREADS'},
+            {hasexternals: """        }"""}
+        ],
+        '_check': l_and(issubroutine, l_not(issubroutine_wrap)),
+    }, {  # Wrapped function
+        'functype': 'void',
+        'declfortranroutine': {l_not(l_or(ismoduleroutine, isdummyroutine)): 'extern void #F_WRAPPEDFUNC#(#name_lower#,#NAME#)(#callprotoargument#);',
+                               isdummyroutine: '',
+                               },
+
+        'routine_def': {
+            l_not(l_or(ismoduleroutine, isdummyroutine)):
+            '    {\"#name#\",-1,{{-1}},0,0,(char *)'
+            '  #F_WRAPPEDFUNC#(#name_lower#,#NAME#),'
+            '  (f2py_init_func)#apiname#,doc_#apiname#},',
+            isdummyroutine:
+            '    {\"#name#\",-1,{{-1}},0,0,NULL,'
+            '  (f2py_init_func)#apiname#,doc_#apiname#},',
+        },
+        'initf2pywraphook': {l_not(l_or(ismoduleroutine, isdummyroutine)): '''
+    {
+      extern #ctype# #F_FUNC#(#name_lower#,#NAME#)(void);
+      PyObject* o = PyDict_GetItemString(d,"#name#");
+      tmp = F2PyCapsule_FromVoidPtr((void*)#F_WRAPPEDFUNC#(#name_lower#,#NAME#),NULL);
+      PyObject_SetAttrString(o,"_cpointer", tmp);
+      Py_DECREF(tmp);
+      s = PyUnicode_FromString("#name#");
+      PyObject_SetAttrString(o,"__name__", s);
+      Py_DECREF(s);
+    }
+    '''},
+        'need': {l_not(l_or(ismoduleroutine, isdummyroutine)): ['F_WRAPPEDFUNC', 'F_FUNC']},
+        'callfortranroutine': [
+            {debugcapi: [
+                """    fprintf(stderr,\"debug-capi:Fortran subroutine `f2pywrap#name_lower#(#callfortran#)\'\\n\");"""]},
+            {hasexternals: """\
+    if (#setjmpbuf#) {
+        f2py_success = 0;
+    } else {"""},
+            {isthreadsafe: '    Py_BEGIN_ALLOW_THREADS'},
+            {l_not(l_or(hascallstatement, isdummyroutine))
+                   : '    (*f2py_func)(#callfortran#);'},
+            {hascallstatement:
+                '    #callstatement#;\n    /*(*f2py_func)(#callfortran#);*/'},
+            {isthreadsafe: '    Py_END_ALLOW_THREADS'},
+            {hasexternals: '    }'}
+        ],
+        '_check': isfunction_wrap,
+    }, {  # Wrapped subroutine
+        'functype': 'void',
+        'declfortranroutine': {l_not(l_or(ismoduleroutine, isdummyroutine)): 'extern void #F_WRAPPEDFUNC#(#name_lower#,#NAME#)(#callprotoargument#);',
+                               isdummyroutine: '',
+                               },
+
+        'routine_def': {
+            l_not(l_or(ismoduleroutine, isdummyroutine)):
+            '    {\"#name#\",-1,{{-1}},0,0,(char *)'
+            '  #F_WRAPPEDFUNC#(#name_lower#,#NAME#),'
+            '  (f2py_init_func)#apiname#,doc_#apiname#},',
+            isdummyroutine:
+            '    {\"#name#\",-1,{{-1}},0,0,NULL,'
+            '  (f2py_init_func)#apiname#,doc_#apiname#},',
+        },
+        'initf2pywraphook': {l_not(l_or(ismoduleroutine, isdummyroutine)): '''
+    {
+      extern void #F_FUNC#(#name_lower#,#NAME#)(void);
+      PyObject* o = PyDict_GetItemString(d,"#name#");
+      tmp = F2PyCapsule_FromVoidPtr((void*)#F_FUNC#(#name_lower#,#NAME#),NULL);
+      PyObject_SetAttrString(o,"_cpointer", tmp);
+      Py_DECREF(tmp);
+      s = PyUnicode_FromString("#name#");
+      PyObject_SetAttrString(o,"__name__", s);
+      Py_DECREF(s);
+    }
+    '''},
+        'need': {l_not(l_or(ismoduleroutine, isdummyroutine)): ['F_WRAPPEDFUNC', 'F_FUNC']},
+        'callfortranroutine': [
+            {debugcapi: [
+                """    fprintf(stderr,\"debug-capi:Fortran subroutine `f2pywrap#name_lower#(#callfortran#)\'\\n\");"""]},
+            {hasexternals: """\
+    if (#setjmpbuf#) {
+        f2py_success = 0;
+    } else {"""},
+            {isthreadsafe: '    Py_BEGIN_ALLOW_THREADS'},
+            {l_not(l_or(hascallstatement, isdummyroutine))
+                   : '    (*f2py_func)(#callfortran#);'},
+            {hascallstatement:
+                '    #callstatement#;\n    /*(*f2py_func)(#callfortran#);*/'},
+            {isthreadsafe: '    Py_END_ALLOW_THREADS'},
+            {hasexternals: '    }'}
+        ],
+        '_check': issubroutine_wrap,
+    }, {  # Function
+        'functype': '#ctype#',
+        'docreturn': {l_not(isintent_hide): '#rname#,'},
+        'docstrout': '#pydocsignout#',
+        'latexdocstrout': ['\\item[]{{}\\verb@#pydocsignout#@{}}',
+                           {hasresultnote: '--- #resultnote#'}],
+        'callfortranroutine': [{l_and(debugcapi, isstringfunction): """\
+#ifdef USESCOMPAQFORTRAN
+    fprintf(stderr,\"debug-capi:Fortran function #ctype# #fortranname#(#callcompaqfortran#)\\n\");
+#else
+    fprintf(stderr,\"debug-capi:Fortran function #ctype# #fortranname#(#callfortran#)\\n\");
+#endif
+"""},
+                               {l_and(debugcapi, l_not(isstringfunction)): """\
+    fprintf(stderr,\"debug-capi:Fortran function #ctype# #fortranname#(#callfortran#)\\n\");
+"""}
+                               ],
+        '_check': l_and(isfunction, l_not(isfunction_wrap))
+    }, {  # Scalar function
+        'declfortranroutine': {l_and(l_not(l_or(ismoduleroutine, isintent_c)), l_not(isdummyroutine)): 'extern #ctype# #F_FUNC#(#fortranname#,#FORTRANNAME#)(#callprotoargument#);',
+                               l_and(l_not(ismoduleroutine), isintent_c, l_not(isdummyroutine)): 'extern #ctype# #fortranname#(#callprotoargument#);',
+                               isdummyroutine: ''
+                               },
+        'routine_def': {
+            l_and(l_not(l_or(ismoduleroutine, isintent_c)),
+                  l_not(isdummyroutine)):
+            ('    {\"#name#\",-1,{{-1}},0,0,(char *)'
+             '  #F_FUNC#(#fortranname#,#FORTRANNAME#),'
+             '  (f2py_init_func)#apiname#,doc_#apiname#},'),
+            l_and(l_not(ismoduleroutine), isintent_c, l_not(isdummyroutine)):
+            ('    {\"#name#\",-1,{{-1}},0,0,(char *)#fortranname#,'
+             '  (f2py_init_func)#apiname#,doc_#apiname#},'),
+            isdummyroutine:
+            '    {\"#name#\",-1,{{-1}},0,0,NULL,'
+            '(f2py_init_func)#apiname#,doc_#apiname#},',
+        },
+        'decl': [{iscomplexfunction_warn: '    #ctype# #name#_return_value={0,0};',
+                  l_not(iscomplexfunction): '    #ctype# #name#_return_value=0;'},
+                 {iscomplexfunction:
+                  '    PyObject *#name#_return_value_capi = Py_None;'}
+                 ],
+        'callfortranroutine': [
+            {hasexternals: """\
+    if (#setjmpbuf#) {
+        f2py_success = 0;
+    } else {"""},
+            {isthreadsafe: '    Py_BEGIN_ALLOW_THREADS'},
+            {hascallstatement: '''    #callstatement#;
+/*    #name#_return_value = (*f2py_func)(#callfortran#);*/
+'''},
+            {l_not(l_or(hascallstatement, isdummyroutine))
+                   : '    #name#_return_value = (*f2py_func)(#callfortran#);'},
+            {isthreadsafe: '    Py_END_ALLOW_THREADS'},
+            {hasexternals: '    }'},
+            {l_and(debugcapi, iscomplexfunction)
+                   : '    fprintf(stderr,"#routdebugshowvalue#\\n",#name#_return_value.r,#name#_return_value.i);'},
+            {l_and(debugcapi, l_not(iscomplexfunction)): '    fprintf(stderr,"#routdebugshowvalue#\\n",#name#_return_value);'}],
+        'pyobjfrom': {iscomplexfunction: '    #name#_return_value_capi = pyobj_from_#ctype#1(#name#_return_value);'},
+        'need': [{l_not(isdummyroutine): 'F_FUNC'},
+                 {iscomplexfunction: 'pyobj_from_#ctype#1'},
+                 {islong_longfunction: 'long_long'},
+                 {islong_doublefunction: 'long_double'}],
+        'returnformat': {l_not(isintent_hide): '#rformat#'},
+        'return': {iscomplexfunction: ',#name#_return_value_capi',
+                   l_not(l_or(iscomplexfunction, isintent_hide)): ',#name#_return_value'},
+        '_check': l_and(isfunction, l_not(isstringfunction), l_not(isfunction_wrap))
+    }, {  # String function # in use for --no-wrap
+        'declfortranroutine': 'extern void #F_FUNC#(#fortranname#,#FORTRANNAME#)(#callprotoargument#);',
+        'routine_def': {l_not(l_or(ismoduleroutine, isintent_c)):
+                        '    {\"#name#\",-1,{{-1}},0,0,(char *)#F_FUNC#(#fortranname#,#FORTRANNAME#),(f2py_init_func)#apiname#,doc_#apiname#},',
+                        l_and(l_not(ismoduleroutine), isintent_c):
+                        '    {\"#name#\",-1,{{-1}},0,0,(char *)#fortranname#,(f2py_init_func)#apiname#,doc_#apiname#},'
+                        },
+        'decl': ['    #ctype# #name#_return_value = NULL;',
+                 '    int #name#_return_value_len = 0;'],
+        'callfortran':'#name#_return_value,#name#_return_value_len,',
+        'callfortranroutine':['    #name#_return_value_len = #rlength#;',
+                              '    if ((#name#_return_value = (string)malloc('
+                              + '#name#_return_value_len+1) == NULL) {',
+                              '        PyErr_SetString(PyExc_MemoryError, \"out of memory\");',
+                              '        f2py_success = 0;',
+                              '    } else {',
+                              "        (#name#_return_value)[#name#_return_value_len] = '\\0';",
+                              '    }',
+                              '    if (f2py_success) {',
+                              {hasexternals: """\
+        if (#setjmpbuf#) {
+            f2py_success = 0;
+        } else {"""},
+                              {isthreadsafe: '        Py_BEGIN_ALLOW_THREADS'},
+                              """\
+#ifdef USESCOMPAQFORTRAN
+        (*f2py_func)(#callcompaqfortran#);
+#else
+        (*f2py_func)(#callfortran#);
+#endif
+""",
+                              {isthreadsafe: '        Py_END_ALLOW_THREADS'},
+                              {hasexternals: '        }'},
+                              {debugcapi:
+                                  '        fprintf(stderr,"#routdebugshowvalue#\\n",#name#_return_value_len,#name#_return_value);'},
+                              '    } /* if (f2py_success) after (string)malloc */',
+                              ],
+        'returnformat': '#rformat#',
+        'return': ',#name#_return_value',
+        'freemem': '    STRINGFREE(#name#_return_value);',
+        'need': ['F_FUNC', '#ctype#', 'STRINGFREE'],
+        '_check':l_and(isstringfunction, l_not(isfunction_wrap))  # ???obsolete
+    },
+    {  # Debugging
+        'routdebugenter': '    fprintf(stderr,"debug-capi:Python C/API function #modulename#.#name#(#docsignature#)\\n");',
+        'routdebugleave': '    fprintf(stderr,"debug-capi:Python C/API function #modulename#.#name#: successful.\\n");',
+        'routdebugfailure': '    fprintf(stderr,"debug-capi:Python C/API function #modulename#.#name#: failure.\\n");',
+        '_check': debugcapi
+    }
+]
+
+################ Rules for arguments ##################
+
+typedef_need_dict = {islong_long: 'long_long',
+                     islong_double: 'long_double',
+                     islong_complex: 'complex_long_double',
+                     isunsigned_char: 'unsigned_char',
+                     isunsigned_short: 'unsigned_short',
+                     isunsigned: 'unsigned',
+                     isunsigned_long_long: 'unsigned_long_long',
+                     isunsigned_chararray: 'unsigned_char',
+                     isunsigned_shortarray: 'unsigned_short',
+                     isunsigned_long_longarray: 'unsigned_long_long',
+                     issigned_long_longarray: 'long_long',
+                     isint1: 'signed_char',
+                     ischaracter_or_characterarray: 'character',
+                     }
+
+aux_rules = [
+    {
+        'separatorsfor': sepdict
+    },
+    {  # Common
+        'frompyobj': ['    /* Processing auxiliary variable #varname# */',
+                      {debugcapi: '    fprintf(stderr,"#vardebuginfo#\\n");'}, ],
+        'cleanupfrompyobj': '    /* End of cleaning variable #varname# */',
+        'need': typedef_need_dict,
+    },
+    # Scalars (not complex)
+    {  # Common
+        'decl': '    #ctype# #varname# = 0;',
+        'need': {hasinitvalue: 'math.h'},
+        'frompyobj': {hasinitvalue: '    #varname# = #init#;'},
+        '_check': l_and(isscalar, l_not(iscomplex)),
+    },
+    {
+        'return': ',#varname#',
+        'docstrout': '#pydocsignout#',
+        'docreturn': '#outvarname#,',
+        'returnformat': '#varrformat#',
+        '_check': l_and(isscalar, l_not(iscomplex), isintent_out),
+    },
+    # Complex scalars
+    {  # Common
+        'decl': '    #ctype# #varname#;',
+        'frompyobj': {hasinitvalue: '    #varname#.r = #init.r#, #varname#.i = #init.i#;'},
+        '_check': iscomplex
+    },
+    # String
+    {  # Common
+        'decl': ['    #ctype# #varname# = NULL;',
+                 '    int slen(#varname#);',
+                 ],
+        'need':['len..'],
+        '_check':isstring
+    },
+    # Array
+    {  # Common
+        'decl': ['    #ctype# *#varname# = NULL;',
+                 '    npy_intp #varname#_Dims[#rank#] = {#rank*[-1]#};',
+                 '    const int #varname#_Rank = #rank#;',
+                 ],
+        'need':['len..', {hasinitvalue: 'forcomb'}, {hasinitvalue: 'CFUNCSMESS'}],
+        '_check': isarray
+    },
+    # Scalararray
+    {  # Common
+        '_check': l_and(isarray, l_not(iscomplexarray))
+    }, {  # Not hidden
+        '_check': l_and(isarray, l_not(iscomplexarray), isintent_nothide)
+    },
+    # Integer*1 array
+    {'need': '#ctype#',
+     '_check': isint1array,
+     '_depend': ''
+     },
+    # Integer*-1 array
+    {'need': '#ctype#',
+     '_check': l_or(isunsigned_chararray, isunsigned_char),
+     '_depend': ''
+     },
+    # Integer*-2 array
+    {'need': '#ctype#',
+     '_check': isunsigned_shortarray,
+     '_depend': ''
+     },
+    # Integer*-8 array
+    {'need': '#ctype#',
+     '_check': isunsigned_long_longarray,
+     '_depend': ''
+     },
+    # Complexarray
+    {'need': '#ctype#',
+     '_check': iscomplexarray,
+     '_depend': ''
+     },
+    # Stringarray
+    {
+        'callfortranappend': {isarrayofstrings: 'flen(#varname#),'},
+        'need': 'string',
+        '_check': isstringarray
+    }
+]
+
+arg_rules = [
+    {
+        'separatorsfor': sepdict
+    },
+    {  # Common
+        'frompyobj': ['    /* Processing variable #varname# */',
+                      {debugcapi: '    fprintf(stderr,"#vardebuginfo#\\n");'}, ],
+        'cleanupfrompyobj': '    /* End of cleaning variable #varname# */',
+        '_depend': '',
+        'need': typedef_need_dict,
+    },
+    # Doc signatures
+    {
+        'docstropt': {l_and(isoptional, isintent_nothide): '#pydocsign#'},
+        'docstrreq': {l_and(isrequired, isintent_nothide): '#pydocsign#'},
+        'docstrout': {isintent_out: '#pydocsignout#'},
+        'latexdocstropt': {l_and(isoptional, isintent_nothide): ['\\item[]{{}\\verb@#pydocsign#@{}}',
+                                                                 {hasnote: '--- #note#'}]},
+        'latexdocstrreq': {l_and(isrequired, isintent_nothide): ['\\item[]{{}\\verb@#pydocsign#@{}}',
+                                                                 {hasnote: '--- #note#'}]},
+        'latexdocstrout': {isintent_out: ['\\item[]{{}\\verb@#pydocsignout#@{}}',
+                                          {l_and(hasnote, isintent_hide): '--- #note#',
+                                           l_and(hasnote, isintent_nothide): '--- See above.'}]},
+        'depend': ''
+    },
+    # Required/Optional arguments
+    {
+        'kwlist': '"#varname#",',
+        'docsign': '#varname#,',
+        '_check': l_and(isintent_nothide, l_not(isoptional))
+    },
+    {
+        'kwlistopt': '"#varname#",',
+        'docsignopt': '#varname#=#showinit#,',
+        'docsignoptshort': '#varname#,',
+        '_check': l_and(isintent_nothide, isoptional)
+    },
+    # Docstring/BuildValue
+    {
+        'docreturn': '#outvarname#,',
+        'returnformat': '#varrformat#',
+        '_check': isintent_out
+    },
+    # Externals (call-back functions)
+    {  # Common
+        'docsignxa': {isintent_nothide: '#varname#_extra_args=(),'},
+        'docsignxashort': {isintent_nothide: '#varname#_extra_args,'},
+        'docstropt': {isintent_nothide: '#varname#_extra_args : input tuple, optional\\n    Default: ()'},
+        'docstrcbs': '#cbdocstr#',
+        'latexdocstrcbs': '\\item[] #cblatexdocstr#',
+        'latexdocstropt': {isintent_nothide: '\\item[]{{}\\verb@#varname#_extra_args := () input tuple@{}} --- Extra arguments for call-back function {{}\\verb@#varname#@{}}.'},
+        'decl': ['    #cbname#_t #varname#_cb = { Py_None, NULL, 0 };',
+                 '    #cbname#_t *#varname#_cb_ptr = &#varname#_cb;',
+                 '    PyTupleObject *#varname#_xa_capi = NULL;',
+                 {l_not(isintent_callback):
+                  '    #cbname#_typedef #varname#_cptr;'}
+                 ],
+        'kwlistxa': {isintent_nothide: '"#varname#_extra_args",'},
+        'argformat': {isrequired: 'O'},
+        'keyformat': {isoptional: 'O'},
+        'xaformat': {isintent_nothide: 'O!'},
+        'args_capi': {isrequired: ',&#varname#_cb.capi'},
+        'keys_capi': {isoptional: ',&#varname#_cb.capi'},
+        'keys_xa': ',&PyTuple_Type,&#varname#_xa_capi',
+        'setjmpbuf': '(setjmp(#varname#_cb.jmpbuf))',
+        'callfortran': {l_not(isintent_callback): '#varname#_cptr,'},
+        'need': ['#cbname#', 'setjmp.h'],
+        '_check':isexternal
+    },
+    {
+        'frompyobj': [{l_not(isintent_callback): """\
+if(F2PyCapsule_Check(#varname#_cb.capi)) {
+  #varname#_cptr = F2PyCapsule_AsVoidPtr(#varname#_cb.capi);
+} else {
+  #varname#_cptr = #cbname#;
+}
+"""}, {isintent_callback: """\
+if (#varname#_cb.capi==Py_None) {
+  #varname#_cb.capi = PyObject_GetAttrString(#modulename#_module,\"#varname#\");
+  if (#varname#_cb.capi) {
+    if (#varname#_xa_capi==NULL) {
+      if (PyObject_HasAttrString(#modulename#_module,\"#varname#_extra_args\")) {
+        PyObject* capi_tmp = PyObject_GetAttrString(#modulename#_module,\"#varname#_extra_args\");
+        if (capi_tmp) {
+          #varname#_xa_capi = (PyTupleObject *)PySequence_Tuple(capi_tmp);
+          Py_DECREF(capi_tmp);
+        }
+        else {
+          #varname#_xa_capi = (PyTupleObject *)Py_BuildValue(\"()\");
+        }
+        if (#varname#_xa_capi==NULL) {
+          PyErr_SetString(#modulename#_error,\"Failed to convert #modulename#.#varname#_extra_args to tuple.\\n\");
+          return NULL;
+        }
+      }
+    }
+  }
+  if (#varname#_cb.capi==NULL) {
+    PyErr_SetString(#modulename#_error,\"Callback #varname# not defined (as an argument or module #modulename# attribute).\\n\");
+    return NULL;
+  }
+}
+"""},
+            """\
+    if (create_cb_arglist(#varname#_cb.capi,#varname#_xa_capi,#maxnofargs#,#nofoptargs#,&#varname#_cb.nofargs,&#varname#_cb.args_capi,\"failed in processing argument list for call-back #varname#.\")) {
+""",
+            {debugcapi: ["""\
+        fprintf(stderr,\"debug-capi:Assuming %d arguments; at most #maxnofargs#(-#nofoptargs#) is expected.\\n\",#varname#_cb.nofargs);
+        CFUNCSMESSPY(\"for #varname#=\",#varname#_cb.capi);""",
+                         {l_not(isintent_callback): """        fprintf(stderr,\"#vardebugshowvalue# (call-back in C).\\n\",#cbname#);"""}]},
+            """\
+        CFUNCSMESS(\"Saving callback variables for `#varname#`.\\n\");
+        #varname#_cb_ptr = swap_active_#cbname#(#varname#_cb_ptr);""",
+        ],
+        'cleanupfrompyobj':
+        """\
+        CFUNCSMESS(\"Restoring callback variables for `#varname#`.\\n\");
+        #varname#_cb_ptr = swap_active_#cbname#(#varname#_cb_ptr);
+        Py_DECREF(#varname#_cb.args_capi);
+    }""",
+        'need': ['SWAP', 'create_cb_arglist'],
+        '_check':isexternal,
+        '_depend':''
+    },
+    # Scalars (not complex)
+    {  # Common
+        'decl': '    #ctype# #varname# = 0;',
+        'pyobjfrom': {debugcapi: '    fprintf(stderr,"#vardebugshowvalue#\\n",#varname#);'},
+        'callfortran': {l_or(isintent_c, isattr_value): '#varname#,', l_not(l_or(isintent_c, isattr_value)): '&#varname#,'},
+        'return': {isintent_out: ',#varname#'},
+        '_check': l_and(isscalar, l_not(iscomplex))
+    }, {
+        'need': {hasinitvalue: 'math.h'},
+        '_check': l_and(isscalar, l_not(iscomplex)),
+    }, {  # Not hidden
+        'decl': '    PyObject *#varname#_capi = Py_None;',
+        'argformat': {isrequired: 'O'},
+        'keyformat': {isoptional: 'O'},
+        'args_capi': {isrequired: ',&#varname#_capi'},
+        'keys_capi': {isoptional: ',&#varname#_capi'},
+        'pyobjfrom': {isintent_inout: """\
+    f2py_success = try_pyarr_from_#ctype#(#varname#_capi,&#varname#);
+    if (f2py_success) {"""},
+        'closepyobjfrom': {isintent_inout: "    } /*if (f2py_success) of #varname# pyobjfrom*/"},
+        'need': {isintent_inout: 'try_pyarr_from_#ctype#'},
+        '_check': l_and(isscalar, l_not(iscomplex), l_not(isstring),
+                        isintent_nothide)
+    }, {
+        'frompyobj': [
+            # hasinitvalue...
+            #   if pyobj is None:
+            #     varname = init
+            #   else
+            #     from_pyobj(varname)
+            #
+            # isoptional and noinitvalue...
+            #   if pyobj is not None:
+            #     from_pyobj(varname)
+            #   else:
+            #     varname is uninitialized
+            #
+            # ...
+            #   from_pyobj(varname)
+            #
+            {hasinitvalue: '    if (#varname#_capi == Py_None) #varname# = #init#; else',
+             '_depend': ''},
+            {l_and(isoptional, l_not(hasinitvalue)): '    if (#varname#_capi != Py_None)',
+             '_depend': ''},
+            {l_not(islogical): '''\
+        f2py_success = #ctype#_from_pyobj(&#varname#,#varname#_capi,"#pyname#() #nth# (#varname#) can\'t be converted to #ctype#");
+    if (f2py_success) {'''},
+            {islogical: '''\
+        #varname# = (#ctype#)PyObject_IsTrue(#varname#_capi);
+        f2py_success = 1;
+    if (f2py_success) {'''},
+        ],
+        'cleanupfrompyobj': '    } /*if (f2py_success) of #varname#*/',
+        'need': {l_not(islogical): '#ctype#_from_pyobj'},
+        '_check': l_and(isscalar, l_not(iscomplex), isintent_nothide),
+        '_depend': ''
+    }, {  # Hidden
+        'frompyobj': {hasinitvalue: '    #varname# = #init#;'},
+        'need': typedef_need_dict,
+        '_check': l_and(isscalar, l_not(iscomplex), isintent_hide),
+        '_depend': ''
+    }, {  # Common
+        'frompyobj': {debugcapi: '    fprintf(stderr,"#vardebugshowvalue#\\n",#varname#);'},
+        '_check': l_and(isscalar, l_not(iscomplex)),
+        '_depend': ''
+    },
+    # Complex scalars
+    {  # Common
+        'decl': '    #ctype# #varname#;',
+        'callfortran': {isintent_c: '#varname#,', l_not(isintent_c): '&#varname#,'},
+        'pyobjfrom': {debugcapi: '    fprintf(stderr,"#vardebugshowvalue#\\n",#varname#.r,#varname#.i);'},
+        'return': {isintent_out: ',#varname#_capi'},
+        '_check': iscomplex
+    }, {  # Not hidden
+        'decl': '    PyObject *#varname#_capi = Py_None;',
+        'argformat': {isrequired: 'O'},
+        'keyformat': {isoptional: 'O'},
+        'args_capi': {isrequired: ',&#varname#_capi'},
+        'keys_capi': {isoptional: ',&#varname#_capi'},
+        'need': {isintent_inout: 'try_pyarr_from_#ctype#'},
+        'pyobjfrom': {isintent_inout: """\
+        f2py_success = try_pyarr_from_#ctype#(#varname#_capi,&#varname#);
+        if (f2py_success) {"""},
+        'closepyobjfrom': {isintent_inout: "        } /*if (f2py_success) of #varname# pyobjfrom*/"},
+        '_check': l_and(iscomplex, isintent_nothide)
+    }, {
+        'frompyobj': [{hasinitvalue: '    if (#varname#_capi==Py_None) {#varname#.r = #init.r#, #varname#.i = #init.i#;} else'},
+                      {l_and(isoptional, l_not(hasinitvalue))
+                             : '    if (#varname#_capi != Py_None)'},
+                      '        f2py_success = #ctype#_from_pyobj(&#varname#,#varname#_capi,"#pyname#() #nth# (#varname#) can\'t be converted to #ctype#");'
+                      '\n    if (f2py_success) {'],
+        'cleanupfrompyobj': '    }  /*if (f2py_success) of #varname# frompyobj*/',
+        'need': ['#ctype#_from_pyobj'],
+        '_check': l_and(iscomplex, isintent_nothide),
+        '_depend': ''
+    }, {  # Hidden
+        'decl': {isintent_out: '    PyObject *#varname#_capi = Py_None;'},
+        '_check': l_and(iscomplex, isintent_hide)
+    }, {
+        'frompyobj': {hasinitvalue: '    #varname#.r = #init.r#, #varname#.i = #init.i#;'},
+        '_check': l_and(iscomplex, isintent_hide),
+        '_depend': ''
+    }, {  # Common
+        'pyobjfrom': {isintent_out: '    #varname#_capi = pyobj_from_#ctype#1(#varname#);'},
+        'need': ['pyobj_from_#ctype#1'],
+        '_check': iscomplex
+    }, {
+        'frompyobj': {debugcapi: '    fprintf(stderr,"#vardebugshowvalue#\\n",#varname#.r,#varname#.i);'},
+        '_check': iscomplex,
+        '_depend': ''
+    },
+    # String
+    {  # Common
+        'decl': ['    #ctype# #varname# = NULL;',
+                 '    int slen(#varname#);',
+                 '    PyObject *#varname#_capi = Py_None;'],
+        'callfortran':'#varname#,',
+        'callfortranappend':'slen(#varname#),',
+        'pyobjfrom':[
+            {debugcapi:
+             '    fprintf(stderr,'
+             '"#vardebugshowvalue#\\n",slen(#varname#),#varname#);'},
+            # The trailing null value for Fortran is blank.
+            {l_and(isintent_out, l_not(isintent_c)):
+             "        STRINGPADN(#varname#, slen(#varname#), ' ', '\\0');"},
+        ],
+        'return': {isintent_out: ',#varname#'},
+        'need': ['len..',
+                 {l_and(isintent_out, l_not(isintent_c)): 'STRINGPADN'}],
+        '_check': isstring
+    }, {  # Common
+        'frompyobj': [
+            """\
+    slen(#varname#) = #elsize#;
+    f2py_success = #ctype#_from_pyobj(&#varname#,&slen(#varname#),#init#,"""
+"""#varname#_capi,\"#ctype#_from_pyobj failed in converting #nth#"""
+"""`#varname#\' of #pyname# to C #ctype#\");
+    if (f2py_success) {""",
+            # The trailing null value for Fortran is blank.
+            {l_not(isintent_c):
+             "        STRINGPADN(#varname#, slen(#varname#), '\\0', ' ');"},
+        ],
+        'cleanupfrompyobj': """\
+        STRINGFREE(#varname#);
+    }  /*if (f2py_success) of #varname#*/""",
+        'need': ['#ctype#_from_pyobj', 'len..', 'STRINGFREE',
+                 {l_not(isintent_c): 'STRINGPADN'}],
+        '_check':isstring,
+        '_depend':''
+    }, {  # Not hidden
+        'argformat': {isrequired: 'O'},
+        'keyformat': {isoptional: 'O'},
+        'args_capi': {isrequired: ',&#varname#_capi'},
+        'keys_capi': {isoptional: ',&#varname#_capi'},
+        'pyobjfrom': [
+            {l_and(isintent_inout, l_not(isintent_c)):
+             "        STRINGPADN(#varname#, slen(#varname#), ' ', '\\0');"},
+            {isintent_inout: '''\
+    f2py_success = try_pyarr_from_#ctype#(#varname#_capi, #varname#,
+                                          slen(#varname#));
+    if (f2py_success) {'''}],
+        'closepyobjfrom': {isintent_inout: '    } /*if (f2py_success) of #varname# pyobjfrom*/'},
+        'need': {isintent_inout: 'try_pyarr_from_#ctype#',
+                 l_and(isintent_inout, l_not(isintent_c)): 'STRINGPADN'},
+        '_check': l_and(isstring, isintent_nothide)
+    }, {  # Hidden
+        '_check': l_and(isstring, isintent_hide)
+    }, {
+        'frompyobj': {debugcapi: '    fprintf(stderr,"#vardebugshowvalue#\\n",slen(#varname#),#varname#);'},
+        '_check': isstring,
+        '_depend': ''
+    },
+    # Array
+    {  # Common
+        'decl': ['    #ctype# *#varname# = NULL;',
+                 '    npy_intp #varname#_Dims[#rank#] = {#rank*[-1]#};',
+                 '    const int #varname#_Rank = #rank#;',
+                 '    PyArrayObject *capi_#varname#_as_array = NULL;',
+                 '    int capi_#varname#_intent = 0;',
+                 {isstringarray: '    int slen(#varname#) = 0;'},
+                 ],
+        'callfortran':'#varname#,',
+        'callfortranappend': {isstringarray: 'slen(#varname#),'},
+        'return': {isintent_out: ',capi_#varname#_as_array'},
+        'need': 'len..',
+        '_check': isarray
+    }, {  # intent(overwrite) array
+        'decl': '    int capi_overwrite_#varname# = 1;',
+        'kwlistxa': '"overwrite_#varname#",',
+        'xaformat': 'i',
+        'keys_xa': ',&capi_overwrite_#varname#',
+        'docsignxa': 'overwrite_#varname#=1,',
+        'docsignxashort': 'overwrite_#varname#,',
+        'docstropt': 'overwrite_#varname# : input int, optional\\n    Default: 1',
+        '_check': l_and(isarray, isintent_overwrite),
+    }, {
+        'frompyobj': '    capi_#varname#_intent |= (capi_overwrite_#varname#?0:F2PY_INTENT_COPY);',
+        '_check': l_and(isarray, isintent_overwrite),
+        '_depend': '',
+    },
+    {  # intent(copy) array
+        'decl': '    int capi_overwrite_#varname# = 0;',
+        'kwlistxa': '"overwrite_#varname#",',
+        'xaformat': 'i',
+        'keys_xa': ',&capi_overwrite_#varname#',
+        'docsignxa': 'overwrite_#varname#=0,',
+        'docsignxashort': 'overwrite_#varname#,',
+        'docstropt': 'overwrite_#varname# : input int, optional\\n    Default: 0',
+        '_check': l_and(isarray, isintent_copy),
+    }, {
+        'frompyobj': '    capi_#varname#_intent |= (capi_overwrite_#varname#?0:F2PY_INTENT_COPY);',
+        '_check': l_and(isarray, isintent_copy),
+        '_depend': '',
+    }, {
+        'need': [{hasinitvalue: 'forcomb'}, {hasinitvalue: 'CFUNCSMESS'}],
+        '_check': isarray,
+        '_depend': ''
+    }, {  # Not hidden
+        'decl': '    PyObject *#varname#_capi = Py_None;',
+        'argformat': {isrequired: 'O'},
+        'keyformat': {isoptional: 'O'},
+        'args_capi': {isrequired: ',&#varname#_capi'},
+        'keys_capi': {isoptional: ',&#varname#_capi'},
+        '_check': l_and(isarray, isintent_nothide)
+    }, {
+        'frompyobj': [
+            '    #setdims#;',
+            '    capi_#varname#_intent |= #intent#;',
+            ('    const char * capi_errmess = "#modulename#.#pyname#:'
+             ' failed to create array from the #nth# `#varname#`";'),
+            {isintent_hide:
+             '    capi_#varname#_as_array = ndarray_from_pyobj('
+             '  #atype#,#elsize#,#varname#_Dims,#varname#_Rank,'
+             '  capi_#varname#_intent,Py_None,capi_errmess);'},
+            {isintent_nothide:
+             '    capi_#varname#_as_array = ndarray_from_pyobj('
+             '  #atype#,#elsize#,#varname#_Dims,#varname#_Rank,'
+             '  capi_#varname#_intent,#varname#_capi,capi_errmess);'},
+            """\
+    if (capi_#varname#_as_array == NULL) {
+        PyObject* capi_err = PyErr_Occurred();
+        if (capi_err == NULL) {
+            capi_err = #modulename#_error;
+            PyErr_SetString(capi_err, capi_errmess);
+        }
+    } else {
+        #varname# = (#ctype# *)(PyArray_DATA(capi_#varname#_as_array));
+""",
+            {isstringarray:
+             '    slen(#varname#) = f2py_itemsize(#varname#);'},
+            {hasinitvalue: [
+                {isintent_nothide:
+                 '    if (#varname#_capi == Py_None) {'},
+                {isintent_hide: '    {'},
+                {iscomplexarray: '        #ctype# capi_c;'},
+                """\
+        int *_i,capi_i=0;
+        CFUNCSMESS(\"#name#: Initializing #varname#=#init#\\n\");
+        if (initforcomb(PyArray_DIMS(capi_#varname#_as_array),
+                        PyArray_NDIM(capi_#varname#_as_array),1)) {
+            while ((_i = nextforcomb()))
+                #varname#[capi_i++] = #init#; /* fortran way */
+        } else {
+            PyObject *exc, *val, *tb;
+            PyErr_Fetch(&exc, &val, &tb);
+            PyErr_SetString(exc ? exc : #modulename#_error,
+                \"Initialization of #nth# #varname# failed (initforcomb).\");
+            npy_PyErr_ChainExceptionsCause(exc, val, tb);
+            f2py_success = 0;
+        }
+    }
+    if (f2py_success) {"""]},
+                      ],
+        'cleanupfrompyobj': [  # note that this list will be reversed
+            '    }  '
+            '/* if (capi_#varname#_as_array == NULL) ... else of #varname# */',
+            {l_not(l_or(isintent_out, isintent_hide)): """\
+    if((PyObject *)capi_#varname#_as_array!=#varname#_capi) {
+        Py_XDECREF(capi_#varname#_as_array); }"""},
+            {l_and(isintent_hide, l_not(isintent_out))
+                   : """        Py_XDECREF(capi_#varname#_as_array);"""},
+            {hasinitvalue: '    }  /*if (f2py_success) of #varname# init*/'},
+        ],
+        '_check': isarray,
+        '_depend': ''
+    },
+    # Scalararray
+    {  # Common
+        '_check': l_and(isarray, l_not(iscomplexarray))
+    }, {  # Not hidden
+        '_check': l_and(isarray, l_not(iscomplexarray), isintent_nothide)
+    },
+    # Integer*1 array
+    {'need': '#ctype#',
+     '_check': isint1array,
+     '_depend': ''
+     },
+    # Integer*-1 array
+    {'need': '#ctype#',
+     '_check': isunsigned_chararray,
+     '_depend': ''
+     },
+    # Integer*-2 array
+    {'need': '#ctype#',
+     '_check': isunsigned_shortarray,
+     '_depend': ''
+     },
+    # Integer*-8 array
+    {'need': '#ctype#',
+     '_check': isunsigned_long_longarray,
+     '_depend': ''
+     },
+    # Complexarray
+    {'need': '#ctype#',
+     '_check': iscomplexarray,
+     '_depend': ''
+     },
+    # Character
+    {
+        'need': 'string',
+        '_check': ischaracter,
+    },
+    # Character array
+    {
+        'need': 'string',
+        '_check': ischaracterarray,
+    },
+    # Stringarray
+    {
+        'callfortranappend': {isarrayofstrings: 'flen(#varname#),'},
+        'need': 'string',
+        '_check': isstringarray
+    }
+]
+
+################# Rules for checking ###############
+
+check_rules = [
+    {
+        'frompyobj': {debugcapi: '    fprintf(stderr,\"debug-capi:Checking `#check#\'\\n\");'},
+        'need': 'len..'
+    }, {
+        'frompyobj': '    CHECKSCALAR(#check#,\"#check#\",\"#nth# #varname#\",\"#varshowvalue#\",#varname#) {',
+        'cleanupfrompyobj': '    } /*CHECKSCALAR(#check#)*/',
+        'need': 'CHECKSCALAR',
+        '_check': l_and(isscalar, l_not(iscomplex)),
+        '_break': ''
+    }, {
+        'frompyobj': '    CHECKSTRING(#check#,\"#check#\",\"#nth# #varname#\",\"#varshowvalue#\",#varname#) {',
+        'cleanupfrompyobj': '    } /*CHECKSTRING(#check#)*/',
+        'need': 'CHECKSTRING',
+        '_check': isstring,
+        '_break': ''
+    }, {
+        'need': 'CHECKARRAY',
+        'frompyobj': '    CHECKARRAY(#check#,\"#check#\",\"#nth# #varname#\") {',
+        'cleanupfrompyobj': '    } /*CHECKARRAY(#check#)*/',
+        '_check': isarray,
+        '_break': ''
+    }, {
+        'need': 'CHECKGENERIC',
+        'frompyobj': '    CHECKGENERIC(#check#,\"#check#\",\"#nth# #varname#\") {',
+        'cleanupfrompyobj': '    } /*CHECKGENERIC(#check#)*/',
+    }
+]
+
+########## Applying the rules. No need to modify what follows #############
+
+#################### Build C/API module #######################
+
+
+def buildmodule(m, um):
+    """
+    Return
+    """
+    outmess('    Building module "%s"...\n' % (m['name']))
+    ret = {}
+    mod_rules = defmod_rules[:]
+    vrd = capi_maps.modsign2map(m)
+    rd = dictappend({'f2py_version': f2py_version}, vrd)
+    funcwrappers = []
+    funcwrappers2 = []  # F90 codes
+    for n in m['interfaced']:
+        nb = None
+        for bi in m['body']:
+            if bi['block'] not in ['interface', 'abstract interface']:
+                errmess('buildmodule: Expected interface block. Skipping.\n')
+                continue
+            for b in bi['body']:
+                if b['name'] == n:
+                    nb = b
+                    break
+
+        if not nb:
+            print(
+                'buildmodule: Could not find the body of interfaced routine "%s". Skipping.\n' % (n), file=sys.stderr)
+            continue
+        nb_list = [nb]
+        if 'entry' in nb:
+            for k, a in nb['entry'].items():
+                nb1 = copy.deepcopy(nb)
+                del nb1['entry']
+                nb1['name'] = k
+                nb1['args'] = a
+                nb_list.append(nb1)
+        for nb in nb_list:
+            # requiresf90wrapper must be called before buildapi as it
+            # rewrites assumed shape arrays as automatic arrays.
+            isf90 = requiresf90wrapper(nb)
+            # options is in scope here
+            if options['emptygen']:
+                b_path = options['buildpath']
+                m_name = vrd['modulename']
+                outmess('    Generating possibly empty wrappers"\n')
+                Path(f"{b_path}/{vrd['coutput']}").touch()
+                if isf90:
+                    # f77 + f90 wrappers
+                    outmess(f'    Maybe empty "{m_name}-f2pywrappers2.f90"\n')
+                    Path(f'{b_path}/{m_name}-f2pywrappers2.f90').touch()
+                    outmess(f'    Maybe empty "{m_name}-f2pywrappers.f"\n')
+                    Path(f'{b_path}/{m_name}-f2pywrappers.f').touch()
+                else:
+                    # only f77 wrappers
+                    outmess(f'    Maybe empty "{m_name}-f2pywrappers.f"\n')
+                    Path(f'{b_path}/{m_name}-f2pywrappers.f').touch()
+            api, wrap = buildapi(nb)
+            if wrap:
+                if isf90:
+                    funcwrappers2.append(wrap)
+                else:
+                    funcwrappers.append(wrap)
+            ar = applyrules(api, vrd)
+            rd = dictappend(rd, ar)
+
+    # Construct COMMON block support
+    cr, wrap = common_rules.buildhooks(m)
+    if wrap:
+        funcwrappers.append(wrap)
+    ar = applyrules(cr, vrd)
+    rd = dictappend(rd, ar)
+
+    # Construct F90 module support
+    mr, wrap = f90mod_rules.buildhooks(m)
+    if wrap:
+        funcwrappers2.append(wrap)
+    ar = applyrules(mr, vrd)
+    rd = dictappend(rd, ar)
+
+    for u in um:
+        ar = use_rules.buildusevars(u, m['use'][u['name']])
+        rd = dictappend(rd, ar)
+
+    needs = cfuncs.get_needs()
+    # Add mapped definitions
+    needs['typedefs'] += [cvar for cvar in capi_maps.f2cmap_mapped #
+                          if cvar in typedef_need_dict.values()]
+    code = {}
+    for n in needs.keys():
+        code[n] = []
+        for k in needs[n]:
+            c = ''
+            if k in cfuncs.includes0:
+                c = cfuncs.includes0[k]
+            elif k in cfuncs.includes:
+                c = cfuncs.includes[k]
+            elif k in cfuncs.userincludes:
+                c = cfuncs.userincludes[k]
+            elif k in cfuncs.typedefs:
+                c = cfuncs.typedefs[k]
+            elif k in cfuncs.typedefs_generated:
+                c = cfuncs.typedefs_generated[k]
+            elif k in cfuncs.cppmacros:
+                c = cfuncs.cppmacros[k]
+            elif k in cfuncs.cfuncs:
+                c = cfuncs.cfuncs[k]
+            elif k in cfuncs.callbacks:
+                c = cfuncs.callbacks[k]
+            elif k in cfuncs.f90modhooks:
+                c = cfuncs.f90modhooks[k]
+            elif k in cfuncs.commonhooks:
+                c = cfuncs.commonhooks[k]
+            else:
+                errmess('buildmodule: unknown need %s.\n' % (repr(k)))
+                continue
+            code[n].append(c)
+    mod_rules.append(code)
+    for r in mod_rules:
+        if ('_check' in r and r['_check'](m)) or ('_check' not in r):
+            ar = applyrules(r, vrd, m)
+            rd = dictappend(rd, ar)
+    ar = applyrules(module_rules, rd)
+
+    fn = os.path.join(options['buildpath'], vrd['coutput'])
+    ret['csrc'] = fn
+    with open(fn, 'w') as f:
+        f.write(ar['modulebody'].replace('\t', 2 * ' '))
+    outmess('    Wrote C/API module "%s" to file "%s"\n' % (m['name'], fn))
+
+    if options['dorestdoc']:
+        fn = os.path.join(
+            options['buildpath'], vrd['modulename'] + 'module.rest')
+        with open(fn, 'w') as f:
+            f.write('.. -*- rest -*-\n')
+            f.write('\n'.join(ar['restdoc']))
+        outmess('    ReST Documentation is saved to file "%s/%smodule.rest"\n' %
+                (options['buildpath'], vrd['modulename']))
+    if options['dolatexdoc']:
+        fn = os.path.join(
+            options['buildpath'], vrd['modulename'] + 'module.tex')
+        ret['ltx'] = fn
+        with open(fn, 'w') as f:
+            f.write(
+                '%% This file is auto-generated with f2py (version:%s)\n' % (f2py_version))
+            if 'shortlatex' not in options:
+                f.write(
+                    '\\documentclass{article}\n\\usepackage{a4wide}\n\\begin{document}\n\\tableofcontents\n\n')
+                f.write('\n'.join(ar['latexdoc']))
+            if 'shortlatex' not in options:
+                f.write('\\end{document}')
+        outmess('    Documentation is saved to file "%s/%smodule.tex"\n' %
+                (options['buildpath'], vrd['modulename']))
+    if funcwrappers:
+        wn = os.path.join(options['buildpath'], vrd['f2py_wrapper_output'])
+        ret['fsrc'] = wn
+        with open(wn, 'w') as f:
+            f.write('C     -*- fortran -*-\n')
+            f.write(
+                'C     This file is autogenerated with f2py (version:%s)\n' % (f2py_version))
+            f.write(
+                'C     It contains Fortran 77 wrappers to fortran functions.\n')
+            lines = []
+            for l in ('\n\n'.join(funcwrappers) + '\n').split('\n'):
+                if 0 <= l.find('!') < 66:
+                    # don't split comment lines
+                    lines.append(l + '\n')
+                elif l and l[0] == ' ':
+                    while len(l) >= 66:
+                        lines.append(l[:66] + '\n     &')
+                        l = l[66:]
+                    lines.append(l + '\n')
+                else:
+                    lines.append(l + '\n')
+            lines = ''.join(lines).replace('\n     &\n', '\n')
+            f.write(lines)
+        outmess('    Fortran 77 wrappers are saved to "%s"\n' % (wn))
+    if funcwrappers2:
+        wn = os.path.join(
+            options['buildpath'], '%s-f2pywrappers2.f90' % (vrd['modulename']))
+        ret['fsrc'] = wn
+        with open(wn, 'w') as f:
+            f.write('!     -*- f90 -*-\n')
+            f.write(
+                '!     This file is autogenerated with f2py (version:%s)\n' % (f2py_version))
+            f.write(
+                '!     It contains Fortran 90 wrappers to fortran functions.\n')
+            lines = []
+            for l in ('\n\n'.join(funcwrappers2) + '\n').split('\n'):
+                if 0 <= l.find('!') < 72:
+                    # don't split comment lines
+                    lines.append(l + '\n')
+                elif len(l) > 72 and l[0] == ' ':
+                    lines.append(l[:72] + '&\n     &')
+                    l = l[72:]
+                    while len(l) > 66:
+                        lines.append(l[:66] + '&\n     &')
+                        l = l[66:]
+                    lines.append(l + '\n')
+                else:
+                    lines.append(l + '\n')
+            lines = ''.join(lines).replace('\n     &\n', '\n')
+            f.write(lines)
+        outmess('    Fortran 90 wrappers are saved to "%s"\n' % (wn))
+    return ret
+
+################## Build C/API function #############
+
+stnd = {1: 'st', 2: 'nd', 3: 'rd', 4: 'th', 5: 'th',
+        6: 'th', 7: 'th', 8: 'th', 9: 'th', 0: 'th'}
+
+
+def buildapi(rout):
+    rout, wrap = func2subr.assubr(rout)
+    args, depargs = getargs2(rout)
+    capi_maps.depargs = depargs
+    var = rout['vars']
+
+    if ismoduleroutine(rout):
+        outmess('            Constructing wrapper function "%s.%s"...\n' %
+                (rout['modulename'], rout['name']))
+    else:
+        outmess('        Constructing wrapper function "%s"...\n' % (rout['name']))
+    # Routine
+    vrd = capi_maps.routsign2map(rout)
+    rd = dictappend({}, vrd)
+    for r in rout_rules:
+        if ('_check' in r and r['_check'](rout)) or ('_check' not in r):
+            ar = applyrules(r, vrd, rout)
+            rd = dictappend(rd, ar)
+
+    # Args
+    nth, nthk = 0, 0
+    savevrd = {}
+    for a in args:
+        vrd = capi_maps.sign2map(a, var[a])
+        if isintent_aux(var[a]):
+            _rules = aux_rules
+        else:
+            _rules = arg_rules
+            if not isintent_hide(var[a]):
+                if not isoptional(var[a]):
+                    nth = nth + 1
+                    vrd['nth'] = repr(nth) + stnd[nth % 10] + ' argument'
+                else:
+                    nthk = nthk + 1
+                    vrd['nth'] = repr(nthk) + stnd[nthk % 10] + ' keyword'
+            else:
+                vrd['nth'] = 'hidden'
+        savevrd[a] = vrd
+        for r in _rules:
+            if '_depend' in r:
+                continue
+            if ('_check' in r and r['_check'](var[a])) or ('_check' not in r):
+                ar = applyrules(r, vrd, var[a])
+                rd = dictappend(rd, ar)
+                if '_break' in r:
+                    break
+    for a in depargs:
+        if isintent_aux(var[a]):
+            _rules = aux_rules
+        else:
+            _rules = arg_rules
+        vrd = savevrd[a]
+        for r in _rules:
+            if '_depend' not in r:
+                continue
+            if ('_check' in r and r['_check'](var[a])) or ('_check' not in r):
+                ar = applyrules(r, vrd, var[a])
+                rd = dictappend(rd, ar)
+                if '_break' in r:
+                    break
+        if 'check' in var[a]:
+            for c in var[a]['check']:
+                vrd['check'] = c
+                ar = applyrules(check_rules, vrd, var[a])
+                rd = dictappend(rd, ar)
+    if isinstance(rd['cleanupfrompyobj'], list):
+        rd['cleanupfrompyobj'].reverse()
+    if isinstance(rd['closepyobjfrom'], list):
+        rd['closepyobjfrom'].reverse()
+    rd['docsignature'] = stripcomma(replace('#docsign##docsignopt##docsignxa#',
+                                            {'docsign': rd['docsign'],
+                                             'docsignopt': rd['docsignopt'],
+                                             'docsignxa': rd['docsignxa']}))
+    optargs = stripcomma(replace('#docsignopt##docsignxa#',
+                                 {'docsignxa': rd['docsignxashort'],
+                                  'docsignopt': rd['docsignoptshort']}
+                                 ))
+    if optargs == '':
+        rd['docsignatureshort'] = stripcomma(
+            replace('#docsign#', {'docsign': rd['docsign']}))
+    else:
+        rd['docsignatureshort'] = replace('#docsign#[#docsignopt#]',
+                                          {'docsign': rd['docsign'],
+                                           'docsignopt': optargs,
+                                           })
+    rd['latexdocsignatureshort'] = rd['docsignatureshort'].replace('_', '\\_')
+    rd['latexdocsignatureshort'] = rd[
+        'latexdocsignatureshort'].replace(',', ', ')
+    cfs = stripcomma(replace('#callfortran##callfortranappend#', {
+                     'callfortran': rd['callfortran'], 'callfortranappend': rd['callfortranappend']}))
+    if len(rd['callfortranappend']) > 1:
+        rd['callcompaqfortran'] = stripcomma(replace('#callfortran# 0,#callfortranappend#', {
+                                             'callfortran': rd['callfortran'], 'callfortranappend': rd['callfortranappend']}))
+    else:
+        rd['callcompaqfortran'] = cfs
+    rd['callfortran'] = cfs
+    if isinstance(rd['docreturn'], list):
+        rd['docreturn'] = stripcomma(
+            replace('#docreturn#', {'docreturn': rd['docreturn']})) + ' = '
+    rd['docstrsigns'] = []
+    rd['latexdocstrsigns'] = []
+    for k in ['docstrreq', 'docstropt', 'docstrout', 'docstrcbs']:
+        if k in rd and isinstance(rd[k], list):
+            rd['docstrsigns'] = rd['docstrsigns'] + rd[k]
+        k = 'latex' + k
+        if k in rd and isinstance(rd[k], list):
+            rd['latexdocstrsigns'] = rd['latexdocstrsigns'] + rd[k][0:1] +\
+                ['\\begin{description}'] + rd[k][1:] +\
+                ['\\end{description}']
+
+    ar = applyrules(routine_rules, rd)
+    if ismoduleroutine(rout):
+        outmess('              %s\n' % (ar['docshort']))
+    else:
+        outmess('          %s\n' % (ar['docshort']))
+    return ar, wrap
+
+
+#################### EOF rules.py #######################
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/setup.cfg b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/setup.cfg
new file mode 100644
index 0000000000000000000000000000000000000000..14669544cc9ec345373bf5f719e321348fc96a40
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/setup.cfg
@@ -0,0 +1,3 @@
+[bdist_rpm]
+doc_files = docs/
+            tests/
\ No newline at end of file
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/src/fortranobject.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/src/fortranobject.c
new file mode 100644
index 0000000000000000000000000000000000000000..4e2aa370b643e62db1955673b9f8922da6721ebe
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/src/fortranobject.c
@@ -0,0 +1,1423 @@
+#define FORTRANOBJECT_C
+#include "fortranobject.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include 
+#include 
+#include 
+
+/*
+  This file implements: FortranObject, array_from_pyobj, copy_ND_array
+
+  Author: Pearu Peterson 
+  $Revision: 1.52 $
+  $Date: 2005/07/11 07:44:20 $
+*/
+
+int
+F2PyDict_SetItemString(PyObject *dict, char *name, PyObject *obj)
+{
+    if (obj == NULL) {
+        fprintf(stderr, "Error loading %s\n", name);
+        if (PyErr_Occurred()) {
+            PyErr_Print();
+            PyErr_Clear();
+        }
+        return -1;
+    }
+    return PyDict_SetItemString(dict, name, obj);
+}
+
+/*
+ * Python-only fallback for thread-local callback pointers
+ */
+void *
+F2PySwapThreadLocalCallbackPtr(char *key, void *ptr)
+{
+    PyObject *local_dict, *value;
+    void *prev;
+
+    local_dict = PyThreadState_GetDict();
+    if (local_dict == NULL) {
+        Py_FatalError(
+                "F2PySwapThreadLocalCallbackPtr: PyThreadState_GetDict "
+                "failed");
+    }
+
+    value = PyDict_GetItemString(local_dict, key);
+    if (value != NULL) {
+        prev = PyLong_AsVoidPtr(value);
+        if (PyErr_Occurred()) {
+            Py_FatalError(
+                    "F2PySwapThreadLocalCallbackPtr: PyLong_AsVoidPtr failed");
+        }
+    }
+    else {
+        prev = NULL;
+    }
+
+    value = PyLong_FromVoidPtr((void *)ptr);
+    if (value == NULL) {
+        Py_FatalError(
+                "F2PySwapThreadLocalCallbackPtr: PyLong_FromVoidPtr failed");
+    }
+
+    if (PyDict_SetItemString(local_dict, key, value) != 0) {
+        Py_FatalError(
+                "F2PySwapThreadLocalCallbackPtr: PyDict_SetItemString failed");
+    }
+
+    Py_DECREF(value);
+
+    return prev;
+}
+
+void *
+F2PyGetThreadLocalCallbackPtr(char *key)
+{
+    PyObject *local_dict, *value;
+    void *prev;
+
+    local_dict = PyThreadState_GetDict();
+    if (local_dict == NULL) {
+        Py_FatalError(
+                "F2PyGetThreadLocalCallbackPtr: PyThreadState_GetDict failed");
+    }
+
+    value = PyDict_GetItemString(local_dict, key);
+    if (value != NULL) {
+        prev = PyLong_AsVoidPtr(value);
+        if (PyErr_Occurred()) {
+            Py_FatalError(
+                    "F2PyGetThreadLocalCallbackPtr: PyLong_AsVoidPtr failed");
+        }
+    }
+    else {
+        prev = NULL;
+    }
+
+    return prev;
+}
+
+static PyArray_Descr *
+get_descr_from_type_and_elsize(const int type_num, const int elsize)  {
+  PyArray_Descr * descr = PyArray_DescrFromType(type_num);
+  if (type_num == NPY_STRING) {
+    // PyArray_DescrFromType returns descr with elsize = 0.
+    PyArray_DESCR_REPLACE(descr);
+    if (descr == NULL) {
+      return NULL;
+    }
+    PyDataType_SET_ELSIZE(descr, elsize);
+  }
+  return descr;
+}
+
+/************************* FortranObject *******************************/
+
+typedef PyObject *(*fortranfunc)(PyObject *, PyObject *, PyObject *, void *);
+
+PyObject *
+PyFortranObject_New(FortranDataDef *defs, f2py_void_func init)
+{
+    int i;
+    PyFortranObject *fp = NULL;
+    PyObject *v = NULL;
+    if (init != NULL) { /* Initialize F90 module objects */
+        (*(init))();
+    }
+    fp = PyObject_New(PyFortranObject, &PyFortran_Type);
+    if (fp == NULL) {
+        return NULL;
+    }
+    if ((fp->dict = PyDict_New()) == NULL) {
+        Py_DECREF(fp);
+        return NULL;
+    }
+    fp->len = 0;
+    while (defs[fp->len].name != NULL) {
+        fp->len++;
+    }
+    if (fp->len == 0) {
+        goto fail;
+    }
+    fp->defs = defs;
+    for (i = 0; i < fp->len; i++) {
+        if (fp->defs[i].rank == -1) { /* Is Fortran routine */
+            v = PyFortranObject_NewAsAttr(&(fp->defs[i]));
+            if (v == NULL) {
+                goto fail;
+            }
+            PyDict_SetItemString(fp->dict, fp->defs[i].name, v);
+            Py_XDECREF(v);
+        }
+        else if ((fp->defs[i].data) !=
+                 NULL) { /* Is Fortran variable or array (not allocatable) */
+            PyArray_Descr *
+            descr = get_descr_from_type_and_elsize(fp->defs[i].type,
+                                                   fp->defs[i].elsize);
+            if (descr == NULL) {
+                goto fail;
+            }
+            v = PyArray_NewFromDescr(&PyArray_Type, descr, fp->defs[i].rank,
+                                     fp->defs[i].dims.d, NULL, fp->defs[i].data,
+                                     NPY_ARRAY_FARRAY, NULL);
+            if (v == NULL) {
+                Py_DECREF(descr);
+                goto fail;
+            }
+            PyDict_SetItemString(fp->dict, fp->defs[i].name, v);
+            Py_XDECREF(v);
+        }
+    }
+    return (PyObject *)fp;
+fail:
+    Py_XDECREF(fp);
+    return NULL;
+}
+
+PyObject *
+PyFortranObject_NewAsAttr(FortranDataDef *defs)
+{ /* used for calling F90 module routines */
+    PyFortranObject *fp = NULL;
+    fp = PyObject_New(PyFortranObject, &PyFortran_Type);
+    if (fp == NULL)
+        return NULL;
+    if ((fp->dict = PyDict_New()) == NULL) {
+        PyObject_Del(fp);
+        return NULL;
+    }
+    fp->len = 1;
+    fp->defs = defs;
+    if (defs->rank == -1) {
+      PyDict_SetItemString(fp->dict, "__name__", PyUnicode_FromFormat("function %s", defs->name));
+    } else if (defs->rank == 0) {
+      PyDict_SetItemString(fp->dict, "__name__", PyUnicode_FromFormat("scalar %s", defs->name));
+    } else {
+      PyDict_SetItemString(fp->dict, "__name__", PyUnicode_FromFormat("array %s", defs->name));
+    }
+    return (PyObject *)fp;
+}
+
+/* Fortran methods */
+
+static void
+fortran_dealloc(PyFortranObject *fp)
+{
+    Py_XDECREF(fp->dict);
+    PyObject_Del(fp);
+}
+
+/* Returns number of bytes consumed from buf, or -1 on error. */
+static Py_ssize_t
+format_def(char *buf, Py_ssize_t size, FortranDataDef def)
+{
+    char *p = buf;
+    int i;
+    npy_intp n;
+
+    n = PyOS_snprintf(p, size, "array(%" NPY_INTP_FMT, def.dims.d[0]);
+    if (n < 0 || n >= size) {
+        return -1;
+    }
+    p += n;
+    size -= n;
+
+    for (i = 1; i < def.rank; i++) {
+        n = PyOS_snprintf(p, size, ",%" NPY_INTP_FMT, def.dims.d[i]);
+        if (n < 0 || n >= size) {
+            return -1;
+        }
+        p += n;
+        size -= n;
+    }
+
+    if (size <= 0) {
+        return -1;
+    }
+
+    *p++ = ')';
+    size--;
+
+    if (def.data == NULL) {
+        static const char notalloc[] = ", not allocated";
+        if ((size_t)size < sizeof(notalloc)) {
+            return -1;
+        }
+        memcpy(p, notalloc, sizeof(notalloc));
+        p += sizeof(notalloc);
+        size -= sizeof(notalloc);
+    }
+
+    return p - buf;
+}
+
+static PyObject *
+fortran_doc(FortranDataDef def)
+{
+    char *buf, *p;
+    PyObject *s = NULL;
+    Py_ssize_t n, origsize, size = 100;
+
+    if (def.doc != NULL) {
+        size += strlen(def.doc);
+    }
+    origsize = size;
+    buf = p = (char *)PyMem_Malloc(size);
+    if (buf == NULL) {
+        return PyErr_NoMemory();
+    }
+
+    if (def.rank == -1) {
+        if (def.doc) {
+            n = strlen(def.doc);
+            if (n > size) {
+                goto fail;
+            }
+            memcpy(p, def.doc, n);
+            p += n;
+            size -= n;
+        }
+        else {
+            n = PyOS_snprintf(p, size, "%s - no docs available", def.name);
+            if (n < 0 || n >= size) {
+                goto fail;
+            }
+            p += n;
+            size -= n;
+        }
+    }
+    else {
+        PyArray_Descr *d = PyArray_DescrFromType(def.type);
+        n = PyOS_snprintf(p, size, "%s : '%c'-", def.name, d->type);
+        Py_DECREF(d);
+        if (n < 0 || n >= size) {
+            goto fail;
+        }
+        p += n;
+        size -= n;
+
+        if (def.data == NULL) {
+            n = format_def(p, size, def);
+            if (n < 0) {
+                goto fail;
+            }
+            p += n;
+            size -= n;
+        }
+        else if (def.rank > 0) {
+            n = format_def(p, size, def);
+            if (n < 0) {
+                goto fail;
+            }
+            p += n;
+            size -= n;
+        }
+        else {
+            n = strlen("scalar");
+            if (size < n) {
+                goto fail;
+            }
+            memcpy(p, "scalar", n);
+            p += n;
+            size -= n;
+        }
+    }
+    if (size <= 1) {
+        goto fail;
+    }
+    *p++ = '\n';
+    size--;
+
+    /* p now points one beyond the last character of the string in buf */
+    s = PyUnicode_FromStringAndSize(buf, p - buf);
+
+    PyMem_Free(buf);
+    return s;
+
+fail:
+    fprintf(stderr,
+            "fortranobject.c: fortran_doc: len(p)=%zd>%zd=size:"
+            " too long docstring required, increase size\n",
+            p - buf, origsize);
+    PyMem_Free(buf);
+    return NULL;
+}
+
+static FortranDataDef *save_def; /* save pointer of an allocatable array */
+static void
+set_data(char *d, npy_intp *f)
+{           /* callback from Fortran */
+    if (*f) /* In fortran f=allocated(d) */
+        save_def->data = d;
+    else
+        save_def->data = NULL;
+    /* printf("set_data: d=%p,f=%d\n",d,*f); */
+}
+
+static PyObject *
+fortran_getattr(PyFortranObject *fp, char *name)
+{
+    int i, j, k, flag;
+    if (fp->dict != NULL) {
+        PyObject *v = _PyDict_GetItemStringWithError(fp->dict, name);
+        if (v == NULL && PyErr_Occurred()) {
+            return NULL;
+        }
+        else if (v != NULL) {
+            Py_INCREF(v);
+            return v;
+        }
+    }
+    for (i = 0, j = 1; i < fp->len && (j = strcmp(name, fp->defs[i].name));
+         i++)
+        ;
+    if (j == 0)
+        if (fp->defs[i].rank != -1) { /* F90 allocatable array */
+            if (fp->defs[i].func == NULL)
+                return NULL;
+            for (k = 0; k < fp->defs[i].rank; ++k) fp->defs[i].dims.d[k] = -1;
+            save_def = &fp->defs[i];
+            (*(fp->defs[i].func))(&fp->defs[i].rank, fp->defs[i].dims.d,
+                                  set_data, &flag);
+            if (flag == 2)
+                k = fp->defs[i].rank + 1;
+            else
+                k = fp->defs[i].rank;
+            if (fp->defs[i].data != NULL) { /* array is allocated */
+                PyObject *v = PyArray_New(
+                        &PyArray_Type, k, fp->defs[i].dims.d, fp->defs[i].type,
+                        NULL, fp->defs[i].data, 0, NPY_ARRAY_FARRAY, NULL);
+                if (v == NULL)
+                    return NULL;
+                /* Py_INCREF(v); */
+                return v;
+            }
+            else { /* array is not allocated */
+                Py_RETURN_NONE;
+            }
+        }
+    if (strcmp(name, "__dict__") == 0) {
+        Py_INCREF(fp->dict);
+        return fp->dict;
+    }
+    if (strcmp(name, "__doc__") == 0) {
+        PyObject *s = PyUnicode_FromString(""), *s2, *s3;
+        for (i = 0; i < fp->len; i++) {
+            s2 = fortran_doc(fp->defs[i]);
+            s3 = PyUnicode_Concat(s, s2);
+            Py_DECREF(s2);
+            Py_DECREF(s);
+            s = s3;
+        }
+        if (PyDict_SetItemString(fp->dict, name, s))
+            return NULL;
+        return s;
+    }
+    if ((strcmp(name, "_cpointer") == 0) && (fp->len == 1)) {
+        PyObject *cobj =
+                F2PyCapsule_FromVoidPtr((void *)(fp->defs[0].data), NULL);
+        if (PyDict_SetItemString(fp->dict, name, cobj))
+            return NULL;
+        return cobj;
+    }
+    PyObject *str, *ret;
+    str = PyUnicode_FromString(name);
+    ret = PyObject_GenericGetAttr((PyObject *)fp, str);
+    Py_DECREF(str);
+    return ret;
+}
+
+static int
+fortran_setattr(PyFortranObject *fp, char *name, PyObject *v)
+{
+    int i, j, flag;
+    PyArrayObject *arr = NULL;
+    for (i = 0, j = 1; i < fp->len && (j = strcmp(name, fp->defs[i].name));
+         i++)
+        ;
+    if (j == 0) {
+        if (fp->defs[i].rank == -1) {
+            PyErr_SetString(PyExc_AttributeError,
+                            "over-writing fortran routine");
+            return -1;
+        }
+        if (fp->defs[i].func != NULL) { /* is allocatable array */
+            npy_intp dims[F2PY_MAX_DIMS];
+            int k;
+            save_def = &fp->defs[i];
+            if (v != Py_None) { /* set new value (reallocate if needed --
+                                   see f2py generated code for more
+                                   details ) */
+                for (k = 0; k < fp->defs[i].rank; k++) dims[k] = -1;
+                if ((arr = array_from_pyobj(fp->defs[i].type, dims,
+                                            fp->defs[i].rank, F2PY_INTENT_IN,
+                                            v)) == NULL)
+                    return -1;
+                (*(fp->defs[i].func))(&fp->defs[i].rank, PyArray_DIMS(arr),
+                                      set_data, &flag);
+            }
+            else { /* deallocate */
+                for (k = 0; k < fp->defs[i].rank; k++) dims[k] = 0;
+                (*(fp->defs[i].func))(&fp->defs[i].rank, dims, set_data,
+                                      &flag);
+                for (k = 0; k < fp->defs[i].rank; k++) dims[k] = -1;
+            }
+            memcpy(fp->defs[i].dims.d, dims,
+                   fp->defs[i].rank * sizeof(npy_intp));
+        }
+        else { /* not allocatable array */
+            if ((arr = array_from_pyobj(fp->defs[i].type, fp->defs[i].dims.d,
+                                        fp->defs[i].rank, F2PY_INTENT_IN,
+                                        v)) == NULL)
+                return -1;
+        }
+        if (fp->defs[i].data !=
+            NULL) { /* copy Python object to Fortran array */
+            npy_intp s = PyArray_MultiplyList(fp->defs[i].dims.d,
+                                              PyArray_NDIM(arr));
+            if (s == -1)
+                s = PyArray_MultiplyList(PyArray_DIMS(arr), PyArray_NDIM(arr));
+            if (s < 0 || (memcpy(fp->defs[i].data, PyArray_DATA(arr),
+                                 s * PyArray_ITEMSIZE(arr))) == NULL) {
+                if ((PyObject *)arr != v) {
+                    Py_DECREF(arr);
+                }
+                return -1;
+            }
+            if ((PyObject *)arr != v) {
+                Py_DECREF(arr);
+            }
+        }
+        else
+            return (fp->defs[i].func == NULL ? -1 : 0);
+        return 0; /* successful */
+    }
+    if (fp->dict == NULL) {
+        fp->dict = PyDict_New();
+        if (fp->dict == NULL)
+            return -1;
+    }
+    if (v == NULL) {
+        int rv = PyDict_DelItemString(fp->dict, name);
+        if (rv < 0)
+            PyErr_SetString(PyExc_AttributeError,
+                            "delete non-existing fortran attribute");
+        return rv;
+    }
+    else
+        return PyDict_SetItemString(fp->dict, name, v);
+}
+
+static PyObject *
+fortran_call(PyFortranObject *fp, PyObject *arg, PyObject *kw)
+{
+    int i = 0;
+    /*  printf("fortran call
+        name=%s,func=%p,data=%p,%p\n",fp->defs[i].name,
+        fp->defs[i].func,fp->defs[i].data,&fp->defs[i].data); */
+    if (fp->defs[i].rank == -1) { /* is Fortran routine */
+        if (fp->defs[i].func == NULL) {
+            PyErr_Format(PyExc_RuntimeError, "no function to call");
+            return NULL;
+        }
+        else if (fp->defs[i].data == NULL)
+            /* dummy routine */
+            return (*((fortranfunc)(fp->defs[i].func)))((PyObject *)fp, arg,
+                                                        kw, NULL);
+        else
+            return (*((fortranfunc)(fp->defs[i].func)))(
+                    (PyObject *)fp, arg, kw, (void *)fp->defs[i].data);
+    }
+    PyErr_Format(PyExc_TypeError, "this fortran object is not callable");
+    return NULL;
+}
+
+static PyObject *
+fortran_repr(PyFortranObject *fp)
+{
+    PyObject *name = NULL, *repr = NULL;
+    name = PyObject_GetAttrString((PyObject *)fp, "__name__");
+    PyErr_Clear();
+    if (name != NULL && PyUnicode_Check(name)) {
+        repr = PyUnicode_FromFormat("", name);
+    }
+    else {
+        repr = PyUnicode_FromString("");
+    }
+    Py_XDECREF(name);
+    return repr;
+}
+
+PyTypeObject PyFortran_Type = {
+        PyVarObject_HEAD_INIT(NULL, 0).tp_name = "fortran",
+        .tp_basicsize = sizeof(PyFortranObject),
+        .tp_dealloc = (destructor)fortran_dealloc,
+        .tp_getattr = (getattrfunc)fortran_getattr,
+        .tp_setattr = (setattrfunc)fortran_setattr,
+        .tp_repr = (reprfunc)fortran_repr,
+        .tp_call = (ternaryfunc)fortran_call,
+};
+
+/************************* f2py_report_atexit *******************************/
+
+#ifdef F2PY_REPORT_ATEXIT
+static int passed_time = 0;
+static int passed_counter = 0;
+static int passed_call_time = 0;
+static struct timeb start_time;
+static struct timeb stop_time;
+static struct timeb start_call_time;
+static struct timeb stop_call_time;
+static int cb_passed_time = 0;
+static int cb_passed_counter = 0;
+static int cb_passed_call_time = 0;
+static struct timeb cb_start_time;
+static struct timeb cb_stop_time;
+static struct timeb cb_start_call_time;
+static struct timeb cb_stop_call_time;
+
+extern void
+f2py_start_clock(void)
+{
+    ftime(&start_time);
+}
+extern void
+f2py_start_call_clock(void)
+{
+    f2py_stop_clock();
+    ftime(&start_call_time);
+}
+extern void
+f2py_stop_clock(void)
+{
+    ftime(&stop_time);
+    passed_time += 1000 * (stop_time.time - start_time.time);
+    passed_time += stop_time.millitm - start_time.millitm;
+}
+extern void
+f2py_stop_call_clock(void)
+{
+    ftime(&stop_call_time);
+    passed_call_time += 1000 * (stop_call_time.time - start_call_time.time);
+    passed_call_time += stop_call_time.millitm - start_call_time.millitm;
+    passed_counter += 1;
+    f2py_start_clock();
+}
+
+extern void
+f2py_cb_start_clock(void)
+{
+    ftime(&cb_start_time);
+}
+extern void
+f2py_cb_start_call_clock(void)
+{
+    f2py_cb_stop_clock();
+    ftime(&cb_start_call_time);
+}
+extern void
+f2py_cb_stop_clock(void)
+{
+    ftime(&cb_stop_time);
+    cb_passed_time += 1000 * (cb_stop_time.time - cb_start_time.time);
+    cb_passed_time += cb_stop_time.millitm - cb_start_time.millitm;
+}
+extern void
+f2py_cb_stop_call_clock(void)
+{
+    ftime(&cb_stop_call_time);
+    cb_passed_call_time +=
+            1000 * (cb_stop_call_time.time - cb_start_call_time.time);
+    cb_passed_call_time +=
+            cb_stop_call_time.millitm - cb_start_call_time.millitm;
+    cb_passed_counter += 1;
+    f2py_cb_start_clock();
+}
+
+static int f2py_report_on_exit_been_here = 0;
+extern void
+f2py_report_on_exit(int exit_flag, void *name)
+{
+    if (f2py_report_on_exit_been_here) {
+        fprintf(stderr, "             %s\n", (char *)name);
+        return;
+    }
+    f2py_report_on_exit_been_here = 1;
+    fprintf(stderr, "                      /-----------------------\\\n");
+    fprintf(stderr, "                     < F2PY performance report >\n");
+    fprintf(stderr, "                      \\-----------------------/\n");
+    fprintf(stderr, "Overall time spent in ...\n");
+    fprintf(stderr, "(a) wrapped (Fortran/C) functions           : %8d msec\n",
+            passed_call_time);
+    fprintf(stderr, "(b) f2py interface,           %6d calls  : %8d msec\n",
+            passed_counter, passed_time);
+    fprintf(stderr, "(c) call-back (Python) functions            : %8d msec\n",
+            cb_passed_call_time);
+    fprintf(stderr, "(d) f2py call-back interface, %6d calls  : %8d msec\n",
+            cb_passed_counter, cb_passed_time);
+
+    fprintf(stderr,
+            "(e) wrapped (Fortran/C) functions (actual) : %8d msec\n\n",
+            passed_call_time - cb_passed_call_time - cb_passed_time);
+    fprintf(stderr,
+            "Use -DF2PY_REPORT_ATEXIT_DISABLE to disable this message.\n");
+    fprintf(stderr, "Exit status: %d\n", exit_flag);
+    fprintf(stderr, "Modules    : %s\n", (char *)name);
+}
+#endif
+
+/********************** report on array copy ****************************/
+
+#ifdef F2PY_REPORT_ON_ARRAY_COPY
+static void
+f2py_report_on_array_copy(PyArrayObject *arr)
+{
+    const npy_intp arr_size = PyArray_Size((PyObject *)arr);
+    if (arr_size > F2PY_REPORT_ON_ARRAY_COPY) {
+        fprintf(stderr,
+                "copied an array: size=%ld, elsize=%" NPY_INTP_FMT "\n",
+                arr_size, (npy_intp)PyArray_ITEMSIZE(arr));
+    }
+}
+static void
+f2py_report_on_array_copy_fromany(void)
+{
+    fprintf(stderr, "created an array from object\n");
+}
+
+#define F2PY_REPORT_ON_ARRAY_COPY_FROMARR \
+    f2py_report_on_array_copy((PyArrayObject *)arr)
+#define F2PY_REPORT_ON_ARRAY_COPY_FROMANY f2py_report_on_array_copy_fromany()
+#else
+#define F2PY_REPORT_ON_ARRAY_COPY_FROMARR
+#define F2PY_REPORT_ON_ARRAY_COPY_FROMANY
+#endif
+
+/************************* array_from_obj *******************************/
+
+/*
+ * File: array_from_pyobj.c
+ *
+ * Description:
+ * ------------
+ * Provides array_from_pyobj function that returns a contiguous array
+ * object with the given dimensions and required storage order, either
+ * in row-major (C) or column-major (Fortran) order. The function
+ * array_from_pyobj is very flexible about its Python object argument
+ * that can be any number, list, tuple, or array.
+ *
+ * array_from_pyobj is used in f2py generated Python extension
+ * modules.
+ *
+ * Author: Pearu Peterson 
+ * Created: 13-16 January 2002
+ * $Id: fortranobject.c,v 1.52 2005/07/11 07:44:20 pearu Exp $
+ */
+
+static int check_and_fix_dimensions(const PyArrayObject* arr,
+                                    const int rank,
+                                    npy_intp *dims,
+                                    const char *errmess);
+
+static int
+find_first_negative_dimension(const int rank, const npy_intp *dims)
+{
+    int i;
+    for (i = 0; i < rank; ++i) {
+        if (dims[i] < 0) {
+            return i;
+        }
+    }
+    return -1;
+}
+
+#ifdef DEBUG_COPY_ND_ARRAY
+void
+dump_dims(int rank, npy_intp const *dims)
+{
+    int i;
+    printf("[");
+    for (i = 0; i < rank; ++i) {
+        printf("%3" NPY_INTP_FMT, dims[i]);
+    }
+    printf("]\n");
+}
+void
+dump_attrs(const PyArrayObject *obj)
+{
+    const PyArrayObject_fields *arr = (const PyArrayObject_fields *)obj;
+    int rank = PyArray_NDIM(arr);
+    npy_intp size = PyArray_Size((PyObject *)arr);
+    printf("\trank = %d, flags = %d, size = %" NPY_INTP_FMT "\n", rank,
+           arr->flags, size);
+    printf("\tstrides = ");
+    dump_dims(rank, arr->strides);
+    printf("\tdimensions = ");
+    dump_dims(rank, arr->dimensions);
+}
+#endif
+
+#define SWAPTYPE(a, b, t) \
+    {                     \
+        t c;              \
+        c = (a);          \
+        (a) = (b);        \
+        (b) = c;          \
+    }
+
+static int
+swap_arrays(PyArrayObject *obj1, PyArrayObject *obj2)
+{
+    PyArrayObject_fields *arr1 = (PyArrayObject_fields *)obj1,
+                         *arr2 = (PyArrayObject_fields *)obj2;
+    SWAPTYPE(arr1->data, arr2->data, char *);
+    SWAPTYPE(arr1->nd, arr2->nd, int);
+    SWAPTYPE(arr1->dimensions, arr2->dimensions, npy_intp *);
+    SWAPTYPE(arr1->strides, arr2->strides, npy_intp *);
+    SWAPTYPE(arr1->base, arr2->base, PyObject *);
+    SWAPTYPE(arr1->descr, arr2->descr, PyArray_Descr *);
+    SWAPTYPE(arr1->flags, arr2->flags, int);
+    /* SWAPTYPE(arr1->weakreflist,arr2->weakreflist,PyObject*); */
+    return 0;
+}
+
+#define ARRAY_ISCOMPATIBLE(arr,type_num)                                \
+    ((PyArray_ISINTEGER(arr) && PyTypeNum_ISINTEGER(type_num)) ||     \
+     (PyArray_ISFLOAT(arr) && PyTypeNum_ISFLOAT(type_num)) ||         \
+     (PyArray_ISCOMPLEX(arr) && PyTypeNum_ISCOMPLEX(type_num)) ||     \
+     (PyArray_ISBOOL(arr) && PyTypeNum_ISBOOL(type_num)) ||           \
+     (PyArray_ISSTRING(arr) && PyTypeNum_ISSTRING(type_num)))
+
+static int
+get_elsize(PyObject *obj) {
+  /*
+    get_elsize determines array itemsize from a Python object.  Returns
+    elsize if successful, -1 otherwise.
+
+    Supported types of the input are: numpy.ndarray, bytes, str, tuple,
+    list.
+  */
+
+  if (PyArray_Check(obj)) {
+    return PyArray_ITEMSIZE((PyArrayObject *)obj);
+  } else if (PyBytes_Check(obj)) {
+    return PyBytes_GET_SIZE(obj);
+  } else if (PyUnicode_Check(obj)) {
+    return PyUnicode_GET_LENGTH(obj);
+  } else if (PySequence_Check(obj)) {
+    PyObject* fast = PySequence_Fast(obj, "f2py:fortranobject.c:get_elsize");
+    if (fast != NULL) {
+      Py_ssize_t i, n = PySequence_Fast_GET_SIZE(fast);
+      int sz, elsize = 0;
+      for (i=0; i elsize) {
+          elsize = sz;
+        }
+      }
+      Py_DECREF(fast);
+      return elsize;
+    }
+  }
+  return -1;
+}
+
+extern PyArrayObject *
+ndarray_from_pyobj(const int type_num,
+                   const int elsize_,
+                   npy_intp *dims,
+                   const int rank,
+                   const int intent,
+                   PyObject *obj,
+                   const char *errmess) {
+    /*
+     * Return an array with given element type and shape from a Python
+     * object while taking into account the usage intent of the array.
+     *
+     * - element type is defined by type_num and elsize
+     * - shape is defined by dims and rank
+     *
+     * ndarray_from_pyobj is used to convert Python object arguments
+     * to numpy ndarrays with given type and shape that data is passed
+     * to interfaced Fortran or C functions.
+     *
+     * errmess (if not NULL), contains a prefix of an error message
+     * for an exception to be triggered within this function.
+     *
+     * Negative elsize value means that elsize is to be determined
+     * from the Python object in runtime.
+     *
+     * Note on strings
+     * ---------------
+     *
+     * String type (type_num == NPY_STRING) does not have fixed
+     * element size and, by default, the type object sets it to
+     * 0. Therefore, for string types, one has to use elsize
+     * argument. For other types, elsize value is ignored.
+     *
+     * NumPy defines the type of a fixed-width string as
+     * dtype('S'). In addition, there is also dtype('c'), that
+     * appears as dtype('S1') (these have the same type_num value),
+     * but is actually different (.char attribute is either 'S' or
+     * 'c', respectively).
+     *
+     * In Fortran, character arrays and strings are different
+     * concepts.  The relation between Fortran types, NumPy dtypes,
+     * and type_num-elsize pairs, is defined as follows:
+     *
+     * character*5 foo     | dtype('S5')  | elsize=5, shape=()
+     * character(5) foo    | dtype('S1')  | elsize=1, shape=(5)
+     * character*5 foo(n)  | dtype('S5')  | elsize=5, shape=(n,)
+     * character(5) foo(n) | dtype('S1')  | elsize=1, shape=(5, n)
+     * character*(*) foo   | dtype('S')   | elsize=-1, shape=()
+     *
+     * Note about reference counting
+     * -----------------------------
+     *
+     * If the caller returns the array to Python, it must be done with
+     * Py_BuildValue("N",arr).  Otherwise, if obj!=arr then the caller
+     * must call Py_DECREF(arr).
+     *
+     * Note on intent(cache,out,..)
+     * ----------------------------
+     * Don't expect correct data when returning intent(cache) array.
+     *
+     */
+    char mess[F2PY_MESSAGE_BUFFER_SIZE];
+    PyArrayObject *arr = NULL;
+    int elsize = (elsize_ < 0 ? get_elsize(obj) : elsize_);
+    if (elsize < 0) {
+      if (errmess != NULL) {
+        strcpy(mess, errmess);
+      }
+      sprintf(mess + strlen(mess),
+              " -- failed to determine element size from %s",
+              Py_TYPE(obj)->tp_name);
+      PyErr_SetString(PyExc_SystemError, mess);
+      return NULL;
+    }
+    PyArray_Descr * descr = get_descr_from_type_and_elsize(type_num, elsize);  // new reference
+    if (descr == NULL) {
+      return NULL;
+    }
+    elsize = PyDataType_ELSIZE(descr);
+    if ((intent & F2PY_INTENT_HIDE)
+        || ((intent & F2PY_INTENT_CACHE) && (obj == Py_None))
+        || ((intent & F2PY_OPTIONAL) && (obj == Py_None))
+        ) {
+        /* intent(cache), optional, intent(hide) */
+        int ineg = find_first_negative_dimension(rank, dims);
+        if (ineg >= 0) {
+            int i;
+            strcpy(mess, "failed to create intent(cache|hide)|optional array"
+                   "-- must have defined dimensions but got (");
+            for(i = 0; i < rank; ++i)
+                sprintf(mess + strlen(mess), "%" NPY_INTP_FMT ",", dims[i]);
+            strcat(mess, ")");
+            PyErr_SetString(PyExc_ValueError, mess);
+            Py_DECREF(descr);
+            return NULL;
+        }
+        arr = (PyArrayObject *)                                      \
+          PyArray_NewFromDescr(&PyArray_Type, descr, rank, dims,
+                               NULL, NULL, !(intent & F2PY_INTENT_C), NULL);
+        if (arr == NULL) {
+          Py_DECREF(descr);
+          return NULL;
+        }
+        if (PyArray_ITEMSIZE(arr) != elsize) {
+          strcpy(mess, "failed to create intent(cache|hide)|optional array");
+          sprintf(mess+strlen(mess)," -- expected elsize=%d got %" NPY_INTP_FMT, elsize, (npy_intp)PyArray_ITEMSIZE(arr));
+          PyErr_SetString(PyExc_ValueError,mess);
+          Py_DECREF(arr);
+          return NULL;
+        }
+        if (!(intent & F2PY_INTENT_CACHE)) {
+          PyArray_FILLWBYTE(arr, 0);
+        }
+        return arr;
+    }
+
+    if (PyArray_Check(obj)) {
+        arr = (PyArrayObject *)obj;
+        if (intent & F2PY_INTENT_CACHE) {
+            /* intent(cache) */
+            if (PyArray_ISONESEGMENT(arr)
+                && PyArray_ITEMSIZE(arr) >= elsize) {
+                if (check_and_fix_dimensions(arr, rank, dims, errmess)) {
+                  Py_DECREF(descr);
+                  return NULL;
+                }
+                if (intent & F2PY_INTENT_OUT)
+                  Py_INCREF(arr);
+                Py_DECREF(descr);
+                return arr;
+            }
+            strcpy(mess, "failed to initialize intent(cache) array");
+            if (!PyArray_ISONESEGMENT(arr))
+                strcat(mess, " -- input must be in one segment");
+            if (PyArray_ITEMSIZE(arr) < elsize)
+                sprintf(mess + strlen(mess),
+                        " -- expected at least elsize=%d but got "
+                        "%" NPY_INTP_FMT,
+                        elsize, (npy_intp)PyArray_ITEMSIZE(arr));
+            PyErr_SetString(PyExc_ValueError, mess);
+            Py_DECREF(descr);
+            return NULL;
+        }
+
+        /* here we have always intent(in) or intent(inout) or intent(inplace)
+         */
+
+        if (check_and_fix_dimensions(arr, rank, dims, errmess)) {
+          Py_DECREF(descr);
+          return NULL;
+        }
+        /*
+        printf("intent alignment=%d\n", F2PY_GET_ALIGNMENT(intent));
+        printf("alignment check=%d\n", F2PY_CHECK_ALIGNMENT(arr, intent));
+        int i;
+        for (i=1;i<=16;i++)
+          printf("i=%d isaligned=%d\n", i, ARRAY_ISALIGNED(arr, i));
+        */
+        if ((! (intent & F2PY_INTENT_COPY)) &&
+            PyArray_ITEMSIZE(arr) == elsize &&
+            ARRAY_ISCOMPATIBLE(arr,type_num) &&
+            F2PY_CHECK_ALIGNMENT(arr, intent)) {
+            if ((intent & F2PY_INTENT_INOUT || intent & F2PY_INTENT_INPLACE)
+              ? ((intent & F2PY_INTENT_C) ? PyArray_ISCARRAY(arr) : PyArray_ISFARRAY(arr))
+              : ((intent & F2PY_INTENT_C) ? PyArray_ISCARRAY_RO(arr) : PyArray_ISFARRAY_RO(arr))) {
+                if ((intent & F2PY_INTENT_OUT)) {
+                    Py_INCREF(arr);
+                }
+                /* Returning input array */
+                Py_DECREF(descr);
+                return arr;
+            }
+        }
+        if (intent & F2PY_INTENT_INOUT) {
+            strcpy(mess, "failed to initialize intent(inout) array");
+            /* Must use PyArray_IS*ARRAY because intent(inout) requires
+             * writable input */
+            if ((intent & F2PY_INTENT_C) && !PyArray_ISCARRAY(arr))
+                strcat(mess, " -- input not contiguous");
+            if (!(intent & F2PY_INTENT_C) && !PyArray_ISFARRAY(arr))
+                strcat(mess, " -- input not fortran contiguous");
+            if (PyArray_ITEMSIZE(arr) != elsize)
+                sprintf(mess + strlen(mess),
+                        " -- expected elsize=%d but got %" NPY_INTP_FMT,
+                        elsize,
+                        (npy_intp)PyArray_ITEMSIZE(arr)
+                        );
+            if (!(ARRAY_ISCOMPATIBLE(arr, type_num))) {
+                sprintf(mess + strlen(mess),
+                        " -- input '%c' not compatible to '%c'",
+                        PyArray_DESCR(arr)->type, descr->type);
+            }
+            if (!(F2PY_CHECK_ALIGNMENT(arr, intent)))
+                sprintf(mess + strlen(mess), " -- input not %d-aligned",
+                        F2PY_GET_ALIGNMENT(intent));
+            PyErr_SetString(PyExc_ValueError, mess);
+            Py_DECREF(descr);
+            return NULL;
+        }
+
+        /* here we have always intent(in) or intent(inplace) */
+
+        {
+          PyArrayObject * retarr = (PyArrayObject *)                    \
+            PyArray_NewFromDescr(&PyArray_Type, descr, PyArray_NDIM(arr), PyArray_DIMS(arr),
+                                 NULL, NULL, !(intent & F2PY_INTENT_C), NULL);
+          if (retarr==NULL) {
+            Py_DECREF(descr);
+            return NULL;
+          }
+          F2PY_REPORT_ON_ARRAY_COPY_FROMARR;
+          if (PyArray_CopyInto(retarr, arr)) {
+            Py_DECREF(retarr);
+            return NULL;
+          }
+          if (intent & F2PY_INTENT_INPLACE) {
+            if (swap_arrays(arr,retarr)) {
+              Py_DECREF(retarr);
+              return NULL; /* XXX: set exception */
+            }
+            Py_XDECREF(retarr);
+            if (intent & F2PY_INTENT_OUT)
+              Py_INCREF(arr);
+          } else {
+            arr = retarr;
+          }
+        }
+        return arr;
+    }
+
+    if ((intent & F2PY_INTENT_INOUT) || (intent & F2PY_INTENT_INPLACE) ||
+        (intent & F2PY_INTENT_CACHE)) {
+        PyErr_Format(PyExc_TypeError,
+                     "failed to initialize intent(inout|inplace|cache) "
+                     "array, input '%s' object is not an array",
+                     Py_TYPE(obj)->tp_name);
+        Py_DECREF(descr);
+        return NULL;
+    }
+
+    {
+        F2PY_REPORT_ON_ARRAY_COPY_FROMANY;
+        arr = (PyArrayObject *)PyArray_FromAny(
+                obj, descr, 0, 0,
+                ((intent & F2PY_INTENT_C) ? NPY_ARRAY_CARRAY
+                                          : NPY_ARRAY_FARRAY) |
+                        NPY_ARRAY_FORCECAST,
+                NULL);
+        // Warning: in the case of NPY_STRING, PyArray_FromAny may
+        // reset descr->elsize, e.g. dtype('S0') becomes dtype('S1').
+        if (arr == NULL) {
+          Py_DECREF(descr);
+          return NULL;
+        }
+        if (type_num != NPY_STRING && PyArray_ITEMSIZE(arr) != elsize) {
+          // This is internal sanity tests: elsize has been set to
+          // descr->elsize in the beginning of this function.
+          strcpy(mess, "failed to initialize intent(in) array");
+          sprintf(mess + strlen(mess),
+                  " -- expected elsize=%d got %" NPY_INTP_FMT, elsize,
+                  (npy_intp)PyArray_ITEMSIZE(arr));
+          PyErr_SetString(PyExc_ValueError, mess);
+          Py_DECREF(arr);
+          return NULL;
+        }
+        if (check_and_fix_dimensions(arr, rank, dims, errmess)) {
+          Py_DECREF(arr);
+          return NULL;
+        }
+        return arr;
+    }
+}
+
+extern PyArrayObject *
+array_from_pyobj(const int type_num,
+                                npy_intp *dims,
+                                const int rank,
+                                const int intent,
+                                PyObject *obj) {
+  /*
+    Same as ndarray_from_pyobj but with elsize determined from type,
+    if possible. Provided for backward compatibility.
+   */
+  PyArray_Descr* descr = PyArray_DescrFromType(type_num);
+  int elsize = PyDataType_ELSIZE(descr);
+  Py_DECREF(descr);
+  return ndarray_from_pyobj(type_num, elsize, dims, rank, intent, obj, NULL);
+}
+
+/*****************************************/
+/* Helper functions for array_from_pyobj */
+/*****************************************/
+
+static int
+check_and_fix_dimensions(const PyArrayObject* arr, const int rank,
+                         npy_intp *dims, const char *errmess)
+{
+    /*
+     * This function fills in blanks (that are -1's) in dims list using
+     * the dimensions from arr. It also checks that non-blank dims will
+     * match with the corresponding values in arr dimensions.
+     *
+     * Returns 0 if the function is successful.
+     *
+     * If an error condition is detected, an exception is set and 1 is
+     * returned.
+     */
+    char mess[F2PY_MESSAGE_BUFFER_SIZE];
+    const npy_intp arr_size =
+            (PyArray_NDIM(arr)) ? PyArray_Size((PyObject *)arr) : 1;
+#ifdef DEBUG_COPY_ND_ARRAY
+    dump_attrs(arr);
+    printf("check_and_fix_dimensions:init: dims=");
+    dump_dims(rank, dims);
+#endif
+    if (rank > PyArray_NDIM(arr)) { /* [1,2] -> [[1],[2]]; 1 -> [[1]]  */
+        npy_intp new_size = 1;
+        int free_axe = -1;
+        int i;
+        npy_intp d;
+        /* Fill dims where -1 or 0; check dimensions; calc new_size; */
+        for (i = 0; i < PyArray_NDIM(arr); ++i) {
+            d = PyArray_DIM(arr, i);
+            if (dims[i] >= 0) {
+                if (d > 1 && dims[i] != d) {
+                    PyErr_Format(
+                            PyExc_ValueError,
+                            "%d-th dimension must be fixed to %" NPY_INTP_FMT
+                            " but got %" NPY_INTP_FMT "\n",
+                            i, dims[i], d);
+                    return 1;
+                }
+                if (!dims[i])
+                    dims[i] = 1;
+            }
+            else {
+                dims[i] = d ? d : 1;
+            }
+            new_size *= dims[i];
+        }
+        for (i = PyArray_NDIM(arr); i < rank; ++i)
+            if (dims[i] > 1) {
+                PyErr_Format(PyExc_ValueError,
+                             "%d-th dimension must be %" NPY_INTP_FMT
+                             " but got 0 (not defined).\n",
+                             i, dims[i]);
+                return 1;
+            }
+            else if (free_axe < 0)
+                free_axe = i;
+            else
+                dims[i] = 1;
+        if (free_axe >= 0) {
+            dims[free_axe] = arr_size / new_size;
+            new_size *= dims[free_axe];
+        }
+        if (new_size != arr_size) {
+            PyErr_Format(PyExc_ValueError,
+                         "unexpected array size: new_size=%" NPY_INTP_FMT
+                         ", got array with arr_size=%" NPY_INTP_FMT
+                         " (maybe too many free indices)\n",
+                         new_size, arr_size);
+            return 1;
+        }
+    }
+    else if (rank == PyArray_NDIM(arr)) {
+        npy_intp new_size = 1;
+        int i;
+        npy_intp d;
+        for (i = 0; i < rank; ++i) {
+            d = PyArray_DIM(arr, i);
+            if (dims[i] >= 0) {
+                if (d > 1 && d != dims[i]) {
+                    if (errmess != NULL) {
+                        strcpy(mess, errmess);
+                    }
+                    sprintf(mess + strlen(mess),
+                            " -- %d-th dimension must be fixed to %"
+                            NPY_INTP_FMT " but got %" NPY_INTP_FMT,
+                            i, dims[i], d);
+                    PyErr_SetString(PyExc_ValueError, mess);
+                    return 1;
+                }
+                if (!dims[i])
+                    dims[i] = 1;
+            }
+            else
+                dims[i] = d;
+            new_size *= dims[i];
+        }
+        if (new_size != arr_size) {
+            PyErr_Format(PyExc_ValueError,
+                         "unexpected array size: new_size=%" NPY_INTP_FMT
+                         ", got array with arr_size=%" NPY_INTP_FMT "\n",
+                         new_size, arr_size);
+            return 1;
+        }
+    }
+    else { /* [[1,2]] -> [[1],[2]] */
+        int i, j;
+        npy_intp d;
+        int effrank;
+        npy_intp size;
+        for (i = 0, effrank = 0; i < PyArray_NDIM(arr); ++i)
+            if (PyArray_DIM(arr, i) > 1)
+                ++effrank;
+        if (dims[rank - 1] >= 0)
+            if (effrank > rank) {
+                PyErr_Format(PyExc_ValueError,
+                             "too many axes: %d (effrank=%d), "
+                             "expected rank=%d\n",
+                             PyArray_NDIM(arr), effrank, rank);
+                return 1;
+            }
+
+        for (i = 0, j = 0; i < rank; ++i) {
+            while (j < PyArray_NDIM(arr) && PyArray_DIM(arr, j) < 2) ++j;
+            if (j >= PyArray_NDIM(arr))
+                d = 1;
+            else
+                d = PyArray_DIM(arr, j++);
+            if (dims[i] >= 0) {
+                if (d > 1 && d != dims[i]) {
+                    if (errmess != NULL) {
+                        strcpy(mess, errmess);
+                    }
+                    sprintf(mess + strlen(mess),
+                            " -- %d-th dimension must be fixed to %"
+                            NPY_INTP_FMT " but got %" NPY_INTP_FMT
+                            " (real index=%d)\n",
+                            i, dims[i], d, j-1);
+                    PyErr_SetString(PyExc_ValueError, mess);
+                    return 1;
+                }
+                if (!dims[i])
+                    dims[i] = 1;
+            }
+            else
+                dims[i] = d;
+        }
+
+        for (i = rank; i < PyArray_NDIM(arr);
+             ++i) { /* [[1,2],[3,4]] -> [1,2,3,4] */
+            while (j < PyArray_NDIM(arr) && PyArray_DIM(arr, j) < 2) ++j;
+            if (j >= PyArray_NDIM(arr))
+                d = 1;
+            else
+                d = PyArray_DIM(arr, j++);
+            dims[rank - 1] *= d;
+        }
+        for (i = 0, size = 1; i < rank; ++i) size *= dims[i];
+        if (size != arr_size) {
+            char msg[200];
+            int len;
+            snprintf(msg, sizeof(msg),
+                     "unexpected array size: size=%" NPY_INTP_FMT
+                     ", arr_size=%" NPY_INTP_FMT
+                     ", rank=%d, effrank=%d, arr.nd=%d, dims=[",
+                     size, arr_size, rank, effrank, PyArray_NDIM(arr));
+            for (i = 0; i < rank; ++i) {
+                len = strlen(msg);
+                snprintf(msg + len, sizeof(msg) - len, " %" NPY_INTP_FMT,
+                         dims[i]);
+            }
+            len = strlen(msg);
+            snprintf(msg + len, sizeof(msg) - len, " ], arr.dims=[");
+            for (i = 0; i < PyArray_NDIM(arr); ++i) {
+                len = strlen(msg);
+                snprintf(msg + len, sizeof(msg) - len, " %" NPY_INTP_FMT,
+                         PyArray_DIM(arr, i));
+            }
+            len = strlen(msg);
+            snprintf(msg + len, sizeof(msg) - len, " ]\n");
+            PyErr_SetString(PyExc_ValueError, msg);
+            return 1;
+        }
+    }
+#ifdef DEBUG_COPY_ND_ARRAY
+    printf("check_and_fix_dimensions:end: dims=");
+    dump_dims(rank, dims);
+#endif
+    return 0;
+}
+
+/* End of file: array_from_pyobj.c */
+
+/************************* copy_ND_array *******************************/
+
+extern int
+copy_ND_array(const PyArrayObject *arr, PyArrayObject *out)
+{
+    F2PY_REPORT_ON_ARRAY_COPY_FROMARR;
+    return PyArray_CopyInto(out, (PyArrayObject *)arr);
+}
+
+/********************* Various utility functions ***********************/
+
+extern int
+f2py_describe(PyObject *obj, char *buf) {
+  /*
+    Write the description of a Python object to buf. The caller must
+    provide buffer with size sufficient to write the description.
+
+    Return 1 on success.
+  */
+  char localbuf[F2PY_MESSAGE_BUFFER_SIZE];
+  if (PyBytes_Check(obj)) {
+    sprintf(localbuf, "%d-%s", (npy_int)PyBytes_GET_SIZE(obj), Py_TYPE(obj)->tp_name);
+  } else if (PyUnicode_Check(obj)) {
+    sprintf(localbuf, "%d-%s", (npy_int)PyUnicode_GET_LENGTH(obj), Py_TYPE(obj)->tp_name);
+  } else if (PyArray_CheckScalar(obj)) {
+    PyArrayObject* arr = (PyArrayObject*)obj;
+    sprintf(localbuf, "%c%" NPY_INTP_FMT "-%s-scalar", PyArray_DESCR(arr)->kind, PyArray_ITEMSIZE(arr), Py_TYPE(obj)->tp_name);
+  } else if (PyArray_Check(obj)) {
+    int i;
+    PyArrayObject* arr = (PyArrayObject*)obj;
+    strcpy(localbuf, "(");
+    for (i=0; ikind, PyArray_ITEMSIZE(arr), Py_TYPE(obj)->tp_name);
+  } else if (PySequence_Check(obj)) {
+    sprintf(localbuf, "%d-%s", (npy_int)PySequence_Length(obj), Py_TYPE(obj)->tp_name);
+  } else {
+    sprintf(localbuf, "%s instance", Py_TYPE(obj)->tp_name);
+  }
+  // TODO: detect the size of buf and make sure that size(buf) >= size(localbuf).
+  strcpy(buf, localbuf);
+  return 1;
+}
+
+extern npy_intp
+f2py_size_impl(PyArrayObject* var, ...)
+{
+  npy_intp sz = 0;
+  npy_intp dim;
+  npy_intp rank;
+  va_list argp;
+  va_start(argp, var);
+  dim = va_arg(argp, npy_int);
+  if (dim==-1)
+    {
+      sz = PyArray_SIZE(var);
+    }
+  else
+    {
+      rank = PyArray_NDIM(var);
+      if (dim>=1 && dim<=rank)
+        sz = PyArray_DIM(var, dim-1);
+      else
+        fprintf(stderr, "f2py_size: 2nd argument value=%" NPY_INTP_FMT
+                " fails to satisfy 1<=value<=%" NPY_INTP_FMT
+                ". Result will be 0.\n", dim, rank);
+    }
+  va_end(argp);
+  return sz;
+}
+
+/*********************************************/
+/* Compatibility functions for Python >= 3.0 */
+/*********************************************/
+
+PyObject *
+F2PyCapsule_FromVoidPtr(void *ptr, void (*dtor)(PyObject *))
+{
+    PyObject *ret = PyCapsule_New(ptr, NULL, dtor);
+    if (ret == NULL) {
+        PyErr_Clear();
+    }
+    return ret;
+}
+
+void *
+F2PyCapsule_AsVoidPtr(PyObject *obj)
+{
+    void *ret = PyCapsule_GetPointer(obj, NULL);
+    if (ret == NULL) {
+        PyErr_Clear();
+    }
+    return ret;
+}
+
+int
+F2PyCapsule_Check(PyObject *ptr)
+{
+    return PyCapsule_CheckExact(ptr);
+}
+
+#ifdef __cplusplus
+}
+#endif
+/************************* EOF fortranobject.c *******************************/
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/src/fortranobject.h b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/src/fortranobject.h
new file mode 100644
index 0000000000000000000000000000000000000000..4aed2f60891b9e9ea2c16373b5959b0a346e7470
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/src/fortranobject.h
@@ -0,0 +1,173 @@
+#ifndef Py_FORTRANOBJECT_H
+#define Py_FORTRANOBJECT_H
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include 
+
+#ifndef NPY_NO_DEPRECATED_API
+#define NPY_NO_DEPRECATED_API NPY_API_VERSION
+#endif
+#ifdef FORTRANOBJECT_C
+#define NO_IMPORT_ARRAY
+#endif
+#define PY_ARRAY_UNIQUE_SYMBOL _npy_f2py_ARRAY_API
+#include "numpy/arrayobject.h"
+#include "numpy/npy_3kcompat.h"
+
+#ifdef F2PY_REPORT_ATEXIT
+#include 
+// clang-format off
+extern void f2py_start_clock(void);
+extern void f2py_stop_clock(void);
+extern void f2py_start_call_clock(void);
+extern void f2py_stop_call_clock(void);
+extern void f2py_cb_start_clock(void);
+extern void f2py_cb_stop_clock(void);
+extern void f2py_cb_start_call_clock(void);
+extern void f2py_cb_stop_call_clock(void);
+extern void f2py_report_on_exit(int, void *);
+// clang-format on
+#endif
+
+#ifdef DMALLOC
+#include "dmalloc.h"
+#endif
+
+/* Fortran object interface */
+
+/*
+123456789-123456789-123456789-123456789-123456789-123456789-123456789-12
+
+PyFortranObject represents various Fortran objects:
+Fortran (module) routines, COMMON blocks, module data.
+
+Author: Pearu Peterson 
+*/
+
+#define F2PY_MAX_DIMS 40
+#define F2PY_MESSAGE_BUFFER_SIZE 300  // Increase on "stack smashing detected"
+
+typedef void (*f2py_set_data_func)(char *, npy_intp *);
+typedef void (*f2py_void_func)(void);
+typedef void (*f2py_init_func)(int *, npy_intp *, f2py_set_data_func, int *);
+
+/*typedef void* (*f2py_c_func)(void*,...);*/
+
+typedef void *(*f2pycfunc)(void);
+
+typedef struct {
+    char *name; /* attribute (array||routine) name */
+    int rank;   /* array rank, 0 for scalar, max is F2PY_MAX_DIMS,
+                   || rank=-1 for Fortran routine */
+    struct {
+        npy_intp d[F2PY_MAX_DIMS];
+    } dims;              /* dimensions of the array, || not used */
+    int type;            /* PyArray_ || not used */
+    int elsize;                /* Element size || not used */
+    char *data;          /* pointer to array || Fortran routine */
+    f2py_init_func func; /* initialization function for
+                            allocatable arrays:
+                            func(&rank,dims,set_ptr_func,name,len(name))
+                            || C/API wrapper for Fortran routine */
+    char *doc;           /* documentation string; only recommended
+                            for routines. */
+} FortranDataDef;
+
+typedef struct {
+    PyObject_HEAD
+    int len;              /* Number of attributes */
+    FortranDataDef *defs; /* An array of FortranDataDef's */
+    PyObject *dict;       /* Fortran object attribute dictionary */
+} PyFortranObject;
+
+#define PyFortran_Check(op) (Py_TYPE(op) == &PyFortran_Type)
+#define PyFortran_Check1(op) (0 == strcmp(Py_TYPE(op)->tp_name, "fortran"))
+
+extern PyTypeObject PyFortran_Type;
+extern int
+F2PyDict_SetItemString(PyObject *dict, char *name, PyObject *obj);
+extern PyObject *
+PyFortranObject_New(FortranDataDef *defs, f2py_void_func init);
+extern PyObject *
+PyFortranObject_NewAsAttr(FortranDataDef *defs);
+
+PyObject *
+F2PyCapsule_FromVoidPtr(void *ptr, void (*dtor)(PyObject *));
+void *
+F2PyCapsule_AsVoidPtr(PyObject *obj);
+int
+F2PyCapsule_Check(PyObject *ptr);
+
+extern void *
+F2PySwapThreadLocalCallbackPtr(char *key, void *ptr);
+extern void *
+F2PyGetThreadLocalCallbackPtr(char *key);
+
+#define ISCONTIGUOUS(m) (PyArray_FLAGS(m) & NPY_ARRAY_C_CONTIGUOUS)
+#define F2PY_INTENT_IN 1
+#define F2PY_INTENT_INOUT 2
+#define F2PY_INTENT_OUT 4
+#define F2PY_INTENT_HIDE 8
+#define F2PY_INTENT_CACHE 16
+#define F2PY_INTENT_COPY 32
+#define F2PY_INTENT_C 64
+#define F2PY_OPTIONAL 128
+#define F2PY_INTENT_INPLACE 256
+#define F2PY_INTENT_ALIGNED4 512
+#define F2PY_INTENT_ALIGNED8 1024
+#define F2PY_INTENT_ALIGNED16 2048
+
+#define ARRAY_ISALIGNED(ARR, SIZE) ((size_t)(PyArray_DATA(ARR)) % (SIZE) == 0)
+#define F2PY_ALIGN4(intent) (intent & F2PY_INTENT_ALIGNED4)
+#define F2PY_ALIGN8(intent) (intent & F2PY_INTENT_ALIGNED8)
+#define F2PY_ALIGN16(intent) (intent & F2PY_INTENT_ALIGNED16)
+
+#define F2PY_GET_ALIGNMENT(intent) \
+    (F2PY_ALIGN4(intent)           \
+             ? 4                   \
+             : (F2PY_ALIGN8(intent) ? 8 : (F2PY_ALIGN16(intent) ? 16 : 1)))
+#define F2PY_CHECK_ALIGNMENT(arr, intent) \
+    ARRAY_ISALIGNED(arr, F2PY_GET_ALIGNMENT(intent))
+#define F2PY_ARRAY_IS_CHARACTER_COMPATIBLE(arr) ((PyArray_DESCR(arr)->type_num == NPY_STRING && PyArray_ITEMSIZE(arr) >= 1) \
+                                                 || PyArray_DESCR(arr)->type_num == NPY_UINT8)
+#define F2PY_IS_UNICODE_ARRAY(arr) (PyArray_DESCR(arr)->type_num == NPY_UNICODE)
+
+extern PyArrayObject *
+ndarray_from_pyobj(const int type_num, const int elsize_, npy_intp *dims,
+                   const int rank, const int intent, PyObject *obj,
+                   const char *errmess);
+
+extern PyArrayObject *
+array_from_pyobj(const int type_num, npy_intp *dims, const int rank,
+                 const int intent, PyObject *obj);
+extern int
+copy_ND_array(const PyArrayObject *in, PyArrayObject *out);
+
+#ifdef DEBUG_COPY_ND_ARRAY
+extern void
+dump_attrs(const PyArrayObject *arr);
+#endif
+
+  extern int f2py_describe(PyObject *obj, char *buf);
+
+  /* Utility CPP macros and functions that can be used in signature file
+     expressions. See signature-file.rst for documentation.
+  */
+
+#define f2py_itemsize(var) (PyArray_ITEMSIZE(capi_ ## var ## _as_array))
+#define f2py_size(var, ...) f2py_size_impl((PyArrayObject *)(capi_ ## var ## _as_array), ## __VA_ARGS__, -1)
+#define f2py_rank(var) var ## _Rank
+#define f2py_shape(var,dim) var ## _Dims[dim]
+#define f2py_len(var) f2py_shape(var,0)
+#define f2py_fshape(var,dim) f2py_shape(var,rank(var)-dim-1)
+#define f2py_flen(var) f2py_fshape(var,0)
+#define f2py_slen(var) capi_ ## var ## _len
+
+  extern npy_intp f2py_size_impl(PyArrayObject* var, ...);
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* !Py_FORTRANOBJECT_H */
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/symbolic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/symbolic.py
new file mode 100644
index 0000000000000000000000000000000000000000..63d277d9b01d487175bbb078ce7a4bfadd2ad917
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/symbolic.py
@@ -0,0 +1,1517 @@
+"""Fortran/C symbolic expressions
+
+References:
+- J3/21-007: Draft Fortran 202x. https://j3-fortran.org/doc/year/21/21-007.pdf
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+
+# To analyze Fortran expressions to solve dimensions specifications,
+# for instances, we implement a minimal symbolic engine for parsing
+# expressions into a tree of expression instances. As a first
+# instance, we care only about arithmetic expressions involving
+# integers and operations like addition (+), subtraction (-),
+# multiplication (*), division (Fortran / is Python //, Fortran // is
+# concatenate), and exponentiation (**).  In addition, .pyf files may
+# contain C expressions that support here is implemented as well.
+#
+# TODO: support logical constants (Op.BOOLEAN)
+# TODO: support logical operators (.AND., ...)
+# TODO: support defined operators (.MYOP., ...)
+#
+__all__ = ['Expr']
+
+
+import re
+import warnings
+from enum import Enum
+from math import gcd
+
+
+class Language(Enum):
+    """
+    Used as Expr.tostring language argument.
+    """
+    Python = 0
+    Fortran = 1
+    C = 2
+
+
+class Op(Enum):
+    """
+    Used as Expr op attribute.
+    """
+    INTEGER = 10
+    REAL = 12
+    COMPLEX = 15
+    STRING = 20
+    ARRAY = 30
+    SYMBOL = 40
+    TERNARY = 100
+    APPLY = 200
+    INDEXING = 210
+    CONCAT = 220
+    RELATIONAL = 300
+    TERMS = 1000
+    FACTORS = 2000
+    REF = 3000
+    DEREF = 3001
+
+
+class RelOp(Enum):
+    """
+    Used in Op.RELATIONAL expression to specify the function part.
+    """
+    EQ = 1
+    NE = 2
+    LT = 3
+    LE = 4
+    GT = 5
+    GE = 6
+
+    @classmethod
+    def fromstring(cls, s, language=Language.C):
+        if language is Language.Fortran:
+            return {'.eq.': RelOp.EQ, '.ne.': RelOp.NE,
+                    '.lt.': RelOp.LT, '.le.': RelOp.LE,
+                    '.gt.': RelOp.GT, '.ge.': RelOp.GE}[s.lower()]
+        return {'==': RelOp.EQ, '!=': RelOp.NE, '<': RelOp.LT,
+                '<=': RelOp.LE, '>': RelOp.GT, '>=': RelOp.GE}[s]
+
+    def tostring(self, language=Language.C):
+        if language is Language.Fortran:
+            return {RelOp.EQ: '.eq.', RelOp.NE: '.ne.',
+                    RelOp.LT: '.lt.', RelOp.LE: '.le.',
+                    RelOp.GT: '.gt.', RelOp.GE: '.ge.'}[self]
+        return {RelOp.EQ: '==', RelOp.NE: '!=',
+                RelOp.LT: '<', RelOp.LE: '<=',
+                RelOp.GT: '>', RelOp.GE: '>='}[self]
+
+
+class ArithOp(Enum):
+    """
+    Used in Op.APPLY expression to specify the function part.
+    """
+    POS = 1
+    NEG = 2
+    ADD = 3
+    SUB = 4
+    MUL = 5
+    DIV = 6
+    POW = 7
+
+
+class OpError(Exception):
+    pass
+
+
+class Precedence(Enum):
+    """
+    Used as Expr.tostring precedence argument.
+    """
+    ATOM = 0
+    POWER = 1
+    UNARY = 2
+    PRODUCT = 3
+    SUM = 4
+    LT = 6
+    EQ = 7
+    LAND = 11
+    LOR = 12
+    TERNARY = 13
+    ASSIGN = 14
+    TUPLE = 15
+    NONE = 100
+
+
+integer_types = (int,)
+number_types = (int, float)
+
+
+def _pairs_add(d, k, v):
+    # Internal utility method for updating terms and factors data.
+    c = d.get(k)
+    if c is None:
+        d[k] = v
+    else:
+        c = c + v
+        if c:
+            d[k] = c
+        else:
+            del d[k]
+
+
+class ExprWarning(UserWarning):
+    pass
+
+
+def ewarn(message):
+    warnings.warn(message, ExprWarning, stacklevel=2)
+
+
+class Expr:
+    """Represents a Fortran expression as a op-data pair.
+
+    Expr instances are hashable and sortable.
+    """
+
+    @staticmethod
+    def parse(s, language=Language.C):
+        """Parse a Fortran expression to a Expr.
+        """
+        return fromstring(s, language=language)
+
+    def __init__(self, op, data):
+        assert isinstance(op, Op)
+
+        # sanity checks
+        if op is Op.INTEGER:
+            # data is a 2-tuple of numeric object and a kind value
+            # (default is 4)
+            assert isinstance(data, tuple) and len(data) == 2
+            assert isinstance(data[0], int)
+            assert isinstance(data[1], (int, str)), data
+        elif op is Op.REAL:
+            # data is a 2-tuple of numeric object and a kind value
+            # (default is 4)
+            assert isinstance(data, tuple) and len(data) == 2
+            assert isinstance(data[0], float)
+            assert isinstance(data[1], (int, str)), data
+        elif op is Op.COMPLEX:
+            # data is a 2-tuple of constant expressions
+            assert isinstance(data, tuple) and len(data) == 2
+        elif op is Op.STRING:
+            # data is a 2-tuple of quoted string and a kind value
+            # (default is 1)
+            assert isinstance(data, tuple) and len(data) == 2
+            assert (isinstance(data[0], str)
+                    and data[0][::len(data[0])-1] in ('""', "''", '@@'))
+            assert isinstance(data[1], (int, str)), data
+        elif op is Op.SYMBOL:
+            # data is any hashable object
+            assert hash(data) is not None
+        elif op in (Op.ARRAY, Op.CONCAT):
+            # data is a tuple of expressions
+            assert isinstance(data, tuple)
+            assert all(isinstance(item, Expr) for item in data), data
+        elif op in (Op.TERMS, Op.FACTORS):
+            # data is {:} where dict values
+            # are nonzero Python integers
+            assert isinstance(data, dict)
+        elif op is Op.APPLY:
+            # data is (, , ) where
+            # operands are Expr instances
+            assert isinstance(data, tuple) and len(data) == 3
+            # function is any hashable object
+            assert hash(data[0]) is not None
+            assert isinstance(data[1], tuple)
+            assert isinstance(data[2], dict)
+        elif op is Op.INDEXING:
+            # data is (, )
+            assert isinstance(data, tuple) and len(data) == 2
+            # function is any hashable object
+            assert hash(data[0]) is not None
+        elif op is Op.TERNARY:
+            # data is (, , )
+            assert isinstance(data, tuple) and len(data) == 3
+        elif op in (Op.REF, Op.DEREF):
+            # data is Expr instance
+            assert isinstance(data, Expr)
+        elif op is Op.RELATIONAL:
+            # data is (, , )
+            assert isinstance(data, tuple) and len(data) == 3
+        else:
+            raise NotImplementedError(
+                f'unknown op or missing sanity check: {op}')
+
+        self.op = op
+        self.data = data
+
+    def __eq__(self, other):
+        return (isinstance(other, Expr)
+                and self.op is other.op
+                and self.data == other.data)
+
+    def __hash__(self):
+        if self.op in (Op.TERMS, Op.FACTORS):
+            data = tuple(sorted(self.data.items()))
+        elif self.op is Op.APPLY:
+            data = self.data[:2] + tuple(sorted(self.data[2].items()))
+        else:
+            data = self.data
+        return hash((self.op, data))
+
+    def __lt__(self, other):
+        if isinstance(other, Expr):
+            if self.op is not other.op:
+                return self.op.value < other.op.value
+            if self.op in (Op.TERMS, Op.FACTORS):
+                return (tuple(sorted(self.data.items()))
+                        < tuple(sorted(other.data.items())))
+            if self.op is Op.APPLY:
+                if self.data[:2] != other.data[:2]:
+                    return self.data[:2] < other.data[:2]
+                return tuple(sorted(self.data[2].items())) < tuple(
+                    sorted(other.data[2].items()))
+            return self.data < other.data
+        return NotImplemented
+
+    def __le__(self, other): return self == other or self < other
+
+    def __gt__(self, other): return not (self <= other)
+
+    def __ge__(self, other): return not (self < other)
+
+    def __repr__(self):
+        return f'{type(self).__name__}({self.op}, {self.data!r})'
+
+    def __str__(self):
+        return self.tostring()
+
+    def tostring(self, parent_precedence=Precedence.NONE,
+                 language=Language.Fortran):
+        """Return a string representation of Expr.
+        """
+        if self.op in (Op.INTEGER, Op.REAL):
+            precedence = (Precedence.SUM if self.data[0] < 0
+                          else Precedence.ATOM)
+            r = str(self.data[0]) + (f'_{self.data[1]}'
+                                     if self.data[1] != 4 else '')
+        elif self.op is Op.COMPLEX:
+            r = ', '.join(item.tostring(Precedence.TUPLE, language=language)
+                          for item in self.data)
+            r = '(' + r + ')'
+            precedence = Precedence.ATOM
+        elif self.op is Op.SYMBOL:
+            precedence = Precedence.ATOM
+            r = str(self.data)
+        elif self.op is Op.STRING:
+            r = self.data[0]
+            if self.data[1] != 1:
+                r = self.data[1] + '_' + r
+            precedence = Precedence.ATOM
+        elif self.op is Op.ARRAY:
+            r = ', '.join(item.tostring(Precedence.TUPLE, language=language)
+                          for item in self.data)
+            r = '[' + r + ']'
+            precedence = Precedence.ATOM
+        elif self.op is Op.TERMS:
+            terms = []
+            for term, coeff in sorted(self.data.items()):
+                if coeff < 0:
+                    op = ' - '
+                    coeff = -coeff
+                else:
+                    op = ' + '
+                if coeff == 1:
+                    term = term.tostring(Precedence.SUM, language=language)
+                else:
+                    if term == as_number(1):
+                        term = str(coeff)
+                    else:
+                        term = f'{coeff} * ' + term.tostring(
+                            Precedence.PRODUCT, language=language)
+                if terms:
+                    terms.append(op)
+                elif op == ' - ':
+                    terms.append('-')
+                terms.append(term)
+            r = ''.join(terms) or '0'
+            precedence = Precedence.SUM if terms else Precedence.ATOM
+        elif self.op is Op.FACTORS:
+            factors = []
+            tail = []
+            for base, exp in sorted(self.data.items()):
+                op = ' * '
+                if exp == 1:
+                    factor = base.tostring(Precedence.PRODUCT,
+                                           language=language)
+                elif language is Language.C:
+                    if exp in range(2, 10):
+                        factor = base.tostring(Precedence.PRODUCT,
+                                               language=language)
+                        factor = ' * '.join([factor] * exp)
+                    elif exp in range(-10, 0):
+                        factor = base.tostring(Precedence.PRODUCT,
+                                               language=language)
+                        tail += [factor] * -exp
+                        continue
+                    else:
+                        factor = base.tostring(Precedence.TUPLE,
+                                               language=language)
+                        factor = f'pow({factor}, {exp})'
+                else:
+                    factor = base.tostring(Precedence.POWER,
+                                           language=language) + f' ** {exp}'
+                if factors:
+                    factors.append(op)
+                factors.append(factor)
+            if tail:
+                if not factors:
+                    factors += ['1']
+                factors += ['/', '(', ' * '.join(tail), ')']
+            r = ''.join(factors) or '1'
+            precedence = Precedence.PRODUCT if factors else Precedence.ATOM
+        elif self.op is Op.APPLY:
+            name, args, kwargs = self.data
+            if name is ArithOp.DIV and language is Language.C:
+                numer, denom = [arg.tostring(Precedence.PRODUCT,
+                                             language=language)
+                                for arg in args]
+                r = f'{numer} / {denom}'
+                precedence = Precedence.PRODUCT
+            else:
+                args = [arg.tostring(Precedence.TUPLE, language=language)
+                        for arg in args]
+                args += [k + '=' + v.tostring(Precedence.NONE)
+                         for k, v in kwargs.items()]
+                r = f'{name}({", ".join(args)})'
+                precedence = Precedence.ATOM
+        elif self.op is Op.INDEXING:
+            name = self.data[0]
+            args = [arg.tostring(Precedence.TUPLE, language=language)
+                    for arg in self.data[1:]]
+            r = f'{name}[{", ".join(args)}]'
+            precedence = Precedence.ATOM
+        elif self.op is Op.CONCAT:
+            args = [arg.tostring(Precedence.PRODUCT, language=language)
+                    for arg in self.data]
+            r = " // ".join(args)
+            precedence = Precedence.PRODUCT
+        elif self.op is Op.TERNARY:
+            cond, expr1, expr2 = [a.tostring(Precedence.TUPLE,
+                                             language=language)
+                                  for a in self.data]
+            if language is Language.C:
+                r = f'({cond}?{expr1}:{expr2})'
+            elif language is Language.Python:
+                r = f'({expr1} if {cond} else {expr2})'
+            elif language is Language.Fortran:
+                r = f'merge({expr1}, {expr2}, {cond})'
+            else:
+                raise NotImplementedError(
+                    f'tostring for {self.op} and {language}')
+            precedence = Precedence.ATOM
+        elif self.op is Op.REF:
+            r = '&' + self.data.tostring(Precedence.UNARY, language=language)
+            precedence = Precedence.UNARY
+        elif self.op is Op.DEREF:
+            r = '*' + self.data.tostring(Precedence.UNARY, language=language)
+            precedence = Precedence.UNARY
+        elif self.op is Op.RELATIONAL:
+            rop, left, right = self.data
+            precedence = (Precedence.EQ if rop in (RelOp.EQ, RelOp.NE)
+                          else Precedence.LT)
+            left = left.tostring(precedence, language=language)
+            right = right.tostring(precedence, language=language)
+            rop = rop.tostring(language=language)
+            r = f'{left} {rop} {right}'
+        else:
+            raise NotImplementedError(f'tostring for op {self.op}')
+        if parent_precedence.value < precedence.value:
+            # If parent precedence is higher than operand precedence,
+            # operand will be enclosed in parenthesis.
+            return '(' + r + ')'
+        return r
+
+    def __pos__(self):
+        return self
+
+    def __neg__(self):
+        return self * -1
+
+    def __add__(self, other):
+        other = as_expr(other)
+        if isinstance(other, Expr):
+            if self.op is other.op:
+                if self.op in (Op.INTEGER, Op.REAL):
+                    return as_number(
+                        self.data[0] + other.data[0],
+                        max(self.data[1], other.data[1]))
+                if self.op is Op.COMPLEX:
+                    r1, i1 = self.data
+                    r2, i2 = other.data
+                    return as_complex(r1 + r2, i1 + i2)
+                if self.op is Op.TERMS:
+                    r = Expr(self.op, dict(self.data))
+                    for k, v in other.data.items():
+                        _pairs_add(r.data, k, v)
+                    return normalize(r)
+            if self.op is Op.COMPLEX and other.op in (Op.INTEGER, Op.REAL):
+                return self + as_complex(other)
+            elif self.op in (Op.INTEGER, Op.REAL) and other.op is Op.COMPLEX:
+                return as_complex(self) + other
+            elif self.op is Op.REAL and other.op is Op.INTEGER:
+                return self + as_real(other, kind=self.data[1])
+            elif self.op is Op.INTEGER and other.op is Op.REAL:
+                return as_real(self, kind=other.data[1]) + other
+            return as_terms(self) + as_terms(other)
+        return NotImplemented
+
+    def __radd__(self, other):
+        if isinstance(other, number_types):
+            return as_number(other) + self
+        return NotImplemented
+
+    def __sub__(self, other):
+        return self + (-other)
+
+    def __rsub__(self, other):
+        if isinstance(other, number_types):
+            return as_number(other) - self
+        return NotImplemented
+
+    def __mul__(self, other):
+        other = as_expr(other)
+        if isinstance(other, Expr):
+            if self.op is other.op:
+                if self.op in (Op.INTEGER, Op.REAL):
+                    return as_number(self.data[0] * other.data[0],
+                                     max(self.data[1], other.data[1]))
+                elif self.op is Op.COMPLEX:
+                    r1, i1 = self.data
+                    r2, i2 = other.data
+                    return as_complex(r1 * r2 - i1 * i2, r1 * i2 + r2 * i1)
+
+                if self.op is Op.FACTORS:
+                    r = Expr(self.op, dict(self.data))
+                    for k, v in other.data.items():
+                        _pairs_add(r.data, k, v)
+                    return normalize(r)
+                elif self.op is Op.TERMS:
+                    r = Expr(self.op, {})
+                    for t1, c1 in self.data.items():
+                        for t2, c2 in other.data.items():
+                            _pairs_add(r.data, t1 * t2, c1 * c2)
+                    return normalize(r)
+
+            if self.op is Op.COMPLEX and other.op in (Op.INTEGER, Op.REAL):
+                return self * as_complex(other)
+            elif other.op is Op.COMPLEX and self.op in (Op.INTEGER, Op.REAL):
+                return as_complex(self) * other
+            elif self.op is Op.REAL and other.op is Op.INTEGER:
+                return self * as_real(other, kind=self.data[1])
+            elif self.op is Op.INTEGER and other.op is Op.REAL:
+                return as_real(self, kind=other.data[1]) * other
+
+            if self.op is Op.TERMS:
+                return self * as_terms(other)
+            elif other.op is Op.TERMS:
+                return as_terms(self) * other
+
+            return as_factors(self) * as_factors(other)
+        return NotImplemented
+
+    def __rmul__(self, other):
+        if isinstance(other, number_types):
+            return as_number(other) * self
+        return NotImplemented
+
+    def __pow__(self, other):
+        other = as_expr(other)
+        if isinstance(other, Expr):
+            if other.op is Op.INTEGER:
+                exponent = other.data[0]
+                # TODO: other kind not used
+                if exponent == 0:
+                    return as_number(1)
+                if exponent == 1:
+                    return self
+                if exponent > 0:
+                    if self.op is Op.FACTORS:
+                        r = Expr(self.op, {})
+                        for k, v in self.data.items():
+                            r.data[k] = v * exponent
+                        return normalize(r)
+                    return self * (self ** (exponent - 1))
+                elif exponent != -1:
+                    return (self ** (-exponent)) ** -1
+                return Expr(Op.FACTORS, {self: exponent})
+            return as_apply(ArithOp.POW, self, other)
+        return NotImplemented
+
+    def __truediv__(self, other):
+        other = as_expr(other)
+        if isinstance(other, Expr):
+            # Fortran / is different from Python /:
+            # - `/` is a truncate operation for integer operands
+            return normalize(as_apply(ArithOp.DIV, self, other))
+        return NotImplemented
+
+    def __rtruediv__(self, other):
+        other = as_expr(other)
+        if isinstance(other, Expr):
+            return other / self
+        return NotImplemented
+
+    def __floordiv__(self, other):
+        other = as_expr(other)
+        if isinstance(other, Expr):
+            # Fortran // is different from Python //:
+            # - `//` is a concatenate operation for string operands
+            return normalize(Expr(Op.CONCAT, (self, other)))
+        return NotImplemented
+
+    def __rfloordiv__(self, other):
+        other = as_expr(other)
+        if isinstance(other, Expr):
+            return other // self
+        return NotImplemented
+
+    def __call__(self, *args, **kwargs):
+        # In Fortran, parenthesis () are use for both function call as
+        # well as indexing operations.
+        #
+        # TODO: implement a method for deciding when __call__ should
+        # return an INDEXING expression.
+        return as_apply(self, *map(as_expr, args),
+                        **dict((k, as_expr(v)) for k, v in kwargs.items()))
+
+    def __getitem__(self, index):
+        # Provided to support C indexing operations that .pyf files
+        # may contain.
+        index = as_expr(index)
+        if not isinstance(index, tuple):
+            index = index,
+        if len(index) > 1:
+            ewarn(f'C-index should be a single expression but got `{index}`')
+        return Expr(Op.INDEXING, (self,) + index)
+
+    def substitute(self, symbols_map):
+        """Recursively substitute symbols with values in symbols map.
+
+        Symbols map is a dictionary of symbol-expression pairs.
+        """
+        if self.op is Op.SYMBOL:
+            value = symbols_map.get(self)
+            if value is None:
+                return self
+            m = re.match(r'\A(@__f2py_PARENTHESIS_(\w+)_\d+@)\Z', self.data)
+            if m:
+                # complement to fromstring method
+                items, paren = m.groups()
+                if paren in ['ROUNDDIV', 'SQUARE']:
+                    return as_array(value)
+                assert paren == 'ROUND', (paren, value)
+            return value
+        if self.op in (Op.INTEGER, Op.REAL, Op.STRING):
+            return self
+        if self.op in (Op.ARRAY, Op.COMPLEX):
+            return Expr(self.op, tuple(item.substitute(symbols_map)
+                                       for item in self.data))
+        if self.op is Op.CONCAT:
+            return normalize(Expr(self.op, tuple(item.substitute(symbols_map)
+                                                 for item in self.data)))
+        if self.op is Op.TERMS:
+            r = None
+            for term, coeff in self.data.items():
+                if r is None:
+                    r = term.substitute(symbols_map) * coeff
+                else:
+                    r += term.substitute(symbols_map) * coeff
+            if r is None:
+                ewarn('substitute: empty TERMS expression interpreted as'
+                      ' int-literal 0')
+                return as_number(0)
+            return r
+        if self.op is Op.FACTORS:
+            r = None
+            for base, exponent in self.data.items():
+                if r is None:
+                    r = base.substitute(symbols_map) ** exponent
+                else:
+                    r *= base.substitute(symbols_map) ** exponent
+            if r is None:
+                ewarn('substitute: empty FACTORS expression interpreted'
+                      ' as int-literal 1')
+                return as_number(1)
+            return r
+        if self.op is Op.APPLY:
+            target, args, kwargs = self.data
+            if isinstance(target, Expr):
+                target = target.substitute(symbols_map)
+            args = tuple(a.substitute(symbols_map) for a in args)
+            kwargs = dict((k, v.substitute(symbols_map))
+                          for k, v in kwargs.items())
+            return normalize(Expr(self.op, (target, args, kwargs)))
+        if self.op is Op.INDEXING:
+            func = self.data[0]
+            if isinstance(func, Expr):
+                func = func.substitute(symbols_map)
+            args = tuple(a.substitute(symbols_map) for a in self.data[1:])
+            return normalize(Expr(self.op, (func,) + args))
+        if self.op is Op.TERNARY:
+            operands = tuple(a.substitute(symbols_map) for a in self.data)
+            return normalize(Expr(self.op, operands))
+        if self.op in (Op.REF, Op.DEREF):
+            return normalize(Expr(self.op, self.data.substitute(symbols_map)))
+        if self.op is Op.RELATIONAL:
+            rop, left, right = self.data
+            left = left.substitute(symbols_map)
+            right = right.substitute(symbols_map)
+            return normalize(Expr(self.op, (rop, left, right)))
+        raise NotImplementedError(f'substitute method for {self.op}: {self!r}')
+
+    def traverse(self, visit, *args, **kwargs):
+        """Traverse expression tree with visit function.
+
+        The visit function is applied to an expression with given args
+        and kwargs.
+
+        Traverse call returns an expression returned by visit when not
+        None, otherwise return a new normalized expression with
+        traverse-visit sub-expressions.
+        """
+        result = visit(self, *args, **kwargs)
+        if result is not None:
+            return result
+
+        if self.op in (Op.INTEGER, Op.REAL, Op.STRING, Op.SYMBOL):
+            return self
+        elif self.op in (Op.COMPLEX, Op.ARRAY, Op.CONCAT, Op.TERNARY):
+            return normalize(Expr(self.op, tuple(
+                item.traverse(visit, *args, **kwargs)
+                for item in self.data)))
+        elif self.op in (Op.TERMS, Op.FACTORS):
+            data = {}
+            for k, v in self.data.items():
+                k = k.traverse(visit, *args, **kwargs)
+                v = (v.traverse(visit, *args, **kwargs)
+                     if isinstance(v, Expr) else v)
+                if k in data:
+                    v = data[k] + v
+                data[k] = v
+            return normalize(Expr(self.op, data))
+        elif self.op is Op.APPLY:
+            obj = self.data[0]
+            func = (obj.traverse(visit, *args, **kwargs)
+                    if isinstance(obj, Expr) else obj)
+            operands = tuple(operand.traverse(visit, *args, **kwargs)
+                             for operand in self.data[1])
+            kwoperands = dict((k, v.traverse(visit, *args, **kwargs))
+                              for k, v in self.data[2].items())
+            return normalize(Expr(self.op, (func, operands, kwoperands)))
+        elif self.op is Op.INDEXING:
+            obj = self.data[0]
+            obj = (obj.traverse(visit, *args, **kwargs)
+                   if isinstance(obj, Expr) else obj)
+            indices = tuple(index.traverse(visit, *args, **kwargs)
+                            for index in self.data[1:])
+            return normalize(Expr(self.op, (obj,) + indices))
+        elif self.op in (Op.REF, Op.DEREF):
+            return normalize(Expr(self.op,
+                                  self.data.traverse(visit, *args, **kwargs)))
+        elif self.op is Op.RELATIONAL:
+            rop, left, right = self.data
+            left = left.traverse(visit, *args, **kwargs)
+            right = right.traverse(visit, *args, **kwargs)
+            return normalize(Expr(self.op, (rop, left, right)))
+        raise NotImplementedError(f'traverse method for {self.op}')
+
+    def contains(self, other):
+        """Check if self contains other.
+        """
+        found = []
+
+        def visit(expr, found=found):
+            if found:
+                return expr
+            elif expr == other:
+                found.append(1)
+                return expr
+
+        self.traverse(visit)
+
+        return len(found) != 0
+
+    def symbols(self):
+        """Return a set of symbols contained in self.
+        """
+        found = set()
+
+        def visit(expr, found=found):
+            if expr.op is Op.SYMBOL:
+                found.add(expr)
+
+        self.traverse(visit)
+
+        return found
+
+    def polynomial_atoms(self):
+        """Return a set of expressions used as atoms in polynomial self.
+        """
+        found = set()
+
+        def visit(expr, found=found):
+            if expr.op is Op.FACTORS:
+                for b in expr.data:
+                    b.traverse(visit)
+                return expr
+            if expr.op in (Op.TERMS, Op.COMPLEX):
+                return
+            if expr.op is Op.APPLY and isinstance(expr.data[0], ArithOp):
+                if expr.data[0] is ArithOp.POW:
+                    expr.data[1][0].traverse(visit)
+                    return expr
+                return
+            if expr.op in (Op.INTEGER, Op.REAL):
+                return expr
+
+            found.add(expr)
+
+            if expr.op in (Op.INDEXING, Op.APPLY):
+                return expr
+
+        self.traverse(visit)
+
+        return found
+
+    def linear_solve(self, symbol):
+        """Return a, b such that a * symbol + b == self.
+
+        If self is not linear with respect to symbol, raise RuntimeError.
+        """
+        b = self.substitute({symbol: as_number(0)})
+        ax = self - b
+        a = ax.substitute({symbol: as_number(1)})
+
+        zero, _ = as_numer_denom(a * symbol - ax)
+
+        if zero != as_number(0):
+            raise RuntimeError(f'not a {symbol}-linear equation:'
+                               f' {a} * {symbol} + {b} == {self}')
+        return a, b
+
+
+def normalize(obj):
+    """Normalize Expr and apply basic evaluation methods.
+    """
+    if not isinstance(obj, Expr):
+        return obj
+
+    if obj.op is Op.TERMS:
+        d = {}
+        for t, c in obj.data.items():
+            if c == 0:
+                continue
+            if t.op is Op.COMPLEX and c != 1:
+                t = t * c
+                c = 1
+            if t.op is Op.TERMS:
+                for t1, c1 in t.data.items():
+                    _pairs_add(d, t1, c1 * c)
+            else:
+                _pairs_add(d, t, c)
+        if len(d) == 0:
+            # TODO: determine correct kind
+            return as_number(0)
+        elif len(d) == 1:
+            (t, c), = d.items()
+            if c == 1:
+                return t
+        return Expr(Op.TERMS, d)
+
+    if obj.op is Op.FACTORS:
+        coeff = 1
+        d = {}
+        for b, e in obj.data.items():
+            if e == 0:
+                continue
+            if b.op is Op.TERMS and isinstance(e, integer_types) and e > 1:
+                # expand integer powers of sums
+                b = b * (b ** (e - 1))
+                e = 1
+
+            if b.op in (Op.INTEGER, Op.REAL):
+                if e == 1:
+                    coeff *= b.data[0]
+                elif e > 0:
+                    coeff *= b.data[0] ** e
+                else:
+                    _pairs_add(d, b, e)
+            elif b.op is Op.FACTORS:
+                if e > 0 and isinstance(e, integer_types):
+                    for b1, e1 in b.data.items():
+                        _pairs_add(d, b1, e1 * e)
+                else:
+                    _pairs_add(d, b, e)
+            else:
+                _pairs_add(d, b, e)
+        if len(d) == 0 or coeff == 0:
+            # TODO: determine correct kind
+            assert isinstance(coeff, number_types)
+            return as_number(coeff)
+        elif len(d) == 1:
+            (b, e), = d.items()
+            if e == 1:
+                t = b
+            else:
+                t = Expr(Op.FACTORS, d)
+            if coeff == 1:
+                return t
+            return Expr(Op.TERMS, {t: coeff})
+        elif coeff == 1:
+            return Expr(Op.FACTORS, d)
+        else:
+            return Expr(Op.TERMS, {Expr(Op.FACTORS, d): coeff})
+
+    if obj.op is Op.APPLY and obj.data[0] is ArithOp.DIV:
+        dividend, divisor = obj.data[1]
+        t1, c1 = as_term_coeff(dividend)
+        t2, c2 = as_term_coeff(divisor)
+        if isinstance(c1, integer_types) and isinstance(c2, integer_types):
+            g = gcd(c1, c2)
+            c1, c2 = c1//g, c2//g
+        else:
+            c1, c2 = c1/c2, 1
+
+        if t1.op is Op.APPLY and t1.data[0] is ArithOp.DIV:
+            numer = t1.data[1][0] * c1
+            denom = t1.data[1][1] * t2 * c2
+            return as_apply(ArithOp.DIV, numer, denom)
+
+        if t2.op is Op.APPLY and t2.data[0] is ArithOp.DIV:
+            numer = t2.data[1][1] * t1 * c1
+            denom = t2.data[1][0] * c2
+            return as_apply(ArithOp.DIV, numer, denom)
+
+        d = dict(as_factors(t1).data)
+        for b, e in as_factors(t2).data.items():
+            _pairs_add(d, b, -e)
+        numer, denom = {}, {}
+        for b, e in d.items():
+            if e > 0:
+                numer[b] = e
+            else:
+                denom[b] = -e
+        numer = normalize(Expr(Op.FACTORS, numer)) * c1
+        denom = normalize(Expr(Op.FACTORS, denom)) * c2
+
+        if denom.op in (Op.INTEGER, Op.REAL) and denom.data[0] == 1:
+            # TODO: denom kind not used
+            return numer
+        return as_apply(ArithOp.DIV, numer, denom)
+
+    if obj.op is Op.CONCAT:
+        lst = [obj.data[0]]
+        for s in obj.data[1:]:
+            last = lst[-1]
+            if (
+                    last.op is Op.STRING
+                    and s.op is Op.STRING
+                    and last.data[0][0] in '"\''
+                    and s.data[0][0] == last.data[0][-1]
+            ):
+                new_last = as_string(last.data[0][:-1] + s.data[0][1:],
+                                     max(last.data[1], s.data[1]))
+                lst[-1] = new_last
+            else:
+                lst.append(s)
+        if len(lst) == 1:
+            return lst[0]
+        return Expr(Op.CONCAT, tuple(lst))
+
+    if obj.op is Op.TERNARY:
+        cond, expr1, expr2 = map(normalize, obj.data)
+        if cond.op is Op.INTEGER:
+            return expr1 if cond.data[0] else expr2
+        return Expr(Op.TERNARY, (cond, expr1, expr2))
+
+    return obj
+
+
+def as_expr(obj):
+    """Convert non-Expr objects to Expr objects.
+    """
+    if isinstance(obj, complex):
+        return as_complex(obj.real, obj.imag)
+    if isinstance(obj, number_types):
+        return as_number(obj)
+    if isinstance(obj, str):
+        # STRING expression holds string with boundary quotes, hence
+        # applying repr:
+        return as_string(repr(obj))
+    if isinstance(obj, tuple):
+        return tuple(map(as_expr, obj))
+    return obj
+
+
+def as_symbol(obj):
+    """Return object as SYMBOL expression (variable or unparsed expression).
+    """
+    return Expr(Op.SYMBOL, obj)
+
+
+def as_number(obj, kind=4):
+    """Return object as INTEGER or REAL constant.
+    """
+    if isinstance(obj, int):
+        return Expr(Op.INTEGER, (obj, kind))
+    if isinstance(obj, float):
+        return Expr(Op.REAL, (obj, kind))
+    if isinstance(obj, Expr):
+        if obj.op in (Op.INTEGER, Op.REAL):
+            return obj
+    raise OpError(f'cannot convert {obj} to INTEGER or REAL constant')
+
+
+def as_integer(obj, kind=4):
+    """Return object as INTEGER constant.
+    """
+    if isinstance(obj, int):
+        return Expr(Op.INTEGER, (obj, kind))
+    if isinstance(obj, Expr):
+        if obj.op is Op.INTEGER:
+            return obj
+    raise OpError(f'cannot convert {obj} to INTEGER constant')
+
+
+def as_real(obj, kind=4):
+    """Return object as REAL constant.
+    """
+    if isinstance(obj, int):
+        return Expr(Op.REAL, (float(obj), kind))
+    if isinstance(obj, float):
+        return Expr(Op.REAL, (obj, kind))
+    if isinstance(obj, Expr):
+        if obj.op is Op.REAL:
+            return obj
+        elif obj.op is Op.INTEGER:
+            return Expr(Op.REAL, (float(obj.data[0]), kind))
+    raise OpError(f'cannot convert {obj} to REAL constant')
+
+
+def as_string(obj, kind=1):
+    """Return object as STRING expression (string literal constant).
+    """
+    return Expr(Op.STRING, (obj, kind))
+
+
+def as_array(obj):
+    """Return object as ARRAY expression (array constant).
+    """
+    if isinstance(obj, Expr):
+        obj = obj,
+    return Expr(Op.ARRAY, obj)
+
+
+def as_complex(real, imag=0):
+    """Return object as COMPLEX expression (complex literal constant).
+    """
+    return Expr(Op.COMPLEX, (as_expr(real), as_expr(imag)))
+
+
+def as_apply(func, *args, **kwargs):
+    """Return object as APPLY expression (function call, constructor, etc.)
+    """
+    return Expr(Op.APPLY,
+                (func, tuple(map(as_expr, args)),
+                 dict((k, as_expr(v)) for k, v in kwargs.items())))
+
+
+def as_ternary(cond, expr1, expr2):
+    """Return object as TERNARY expression (cond?expr1:expr2).
+    """
+    return Expr(Op.TERNARY, (cond, expr1, expr2))
+
+
+def as_ref(expr):
+    """Return object as referencing expression.
+    """
+    return Expr(Op.REF, expr)
+
+
+def as_deref(expr):
+    """Return object as dereferencing expression.
+    """
+    return Expr(Op.DEREF, expr)
+
+
+def as_eq(left, right):
+    return Expr(Op.RELATIONAL, (RelOp.EQ, left, right))
+
+
+def as_ne(left, right):
+    return Expr(Op.RELATIONAL, (RelOp.NE, left, right))
+
+
+def as_lt(left, right):
+    return Expr(Op.RELATIONAL, (RelOp.LT, left, right))
+
+
+def as_le(left, right):
+    return Expr(Op.RELATIONAL, (RelOp.LE, left, right))
+
+
+def as_gt(left, right):
+    return Expr(Op.RELATIONAL, (RelOp.GT, left, right))
+
+
+def as_ge(left, right):
+    return Expr(Op.RELATIONAL, (RelOp.GE, left, right))
+
+
+def as_terms(obj):
+    """Return expression as TERMS expression.
+    """
+    if isinstance(obj, Expr):
+        obj = normalize(obj)
+        if obj.op is Op.TERMS:
+            return obj
+        if obj.op is Op.INTEGER:
+            return Expr(Op.TERMS, {as_integer(1, obj.data[1]): obj.data[0]})
+        if obj.op is Op.REAL:
+            return Expr(Op.TERMS, {as_real(1, obj.data[1]): obj.data[0]})
+        return Expr(Op.TERMS, {obj: 1})
+    raise OpError(f'cannot convert {type(obj)} to terms Expr')
+
+
+def as_factors(obj):
+    """Return expression as FACTORS expression.
+    """
+    if isinstance(obj, Expr):
+        obj = normalize(obj)
+        if obj.op is Op.FACTORS:
+            return obj
+        if obj.op is Op.TERMS:
+            if len(obj.data) == 1:
+                (term, coeff), = obj.data.items()
+                if coeff == 1:
+                    return Expr(Op.FACTORS, {term: 1})
+                return Expr(Op.FACTORS, {term: 1, Expr.number(coeff): 1})
+        if (obj.op is Op.APPLY
+             and obj.data[0] is ArithOp.DIV
+             and not obj.data[2]):
+            return Expr(Op.FACTORS, {obj.data[1][0]: 1, obj.data[1][1]: -1})
+        return Expr(Op.FACTORS, {obj: 1})
+    raise OpError(f'cannot convert {type(obj)} to terms Expr')
+
+
+def as_term_coeff(obj):
+    """Return expression as term-coefficient pair.
+    """
+    if isinstance(obj, Expr):
+        obj = normalize(obj)
+        if obj.op is Op.INTEGER:
+            return as_integer(1, obj.data[1]), obj.data[0]
+        if obj.op is Op.REAL:
+            return as_real(1, obj.data[1]), obj.data[0]
+        if obj.op is Op.TERMS:
+            if len(obj.data) == 1:
+                (term, coeff), = obj.data.items()
+                return term, coeff
+            # TODO: find common divisor of coefficients
+        if obj.op is Op.APPLY and obj.data[0] is ArithOp.DIV:
+            t, c = as_term_coeff(obj.data[1][0])
+            return as_apply(ArithOp.DIV, t, obj.data[1][1]), c
+        return obj, 1
+    raise OpError(f'cannot convert {type(obj)} to term and coeff')
+
+
+def as_numer_denom(obj):
+    """Return expression as numer-denom pair.
+    """
+    if isinstance(obj, Expr):
+        obj = normalize(obj)
+        if obj.op in (Op.INTEGER, Op.REAL, Op.COMPLEX, Op.SYMBOL,
+                      Op.INDEXING, Op.TERNARY):
+            return obj, as_number(1)
+        elif obj.op is Op.APPLY:
+            if obj.data[0] is ArithOp.DIV and not obj.data[2]:
+                numers, denoms = map(as_numer_denom, obj.data[1])
+                return numers[0] * denoms[1], numers[1] * denoms[0]
+            return obj, as_number(1)
+        elif obj.op is Op.TERMS:
+            numers, denoms = [], []
+            for term, coeff in obj.data.items():
+                n, d = as_numer_denom(term)
+                n = n * coeff
+                numers.append(n)
+                denoms.append(d)
+            numer, denom = as_number(0), as_number(1)
+            for i in range(len(numers)):
+                n = numers[i]
+                for j in range(len(numers)):
+                    if i != j:
+                        n *= denoms[j]
+                numer += n
+                denom *= denoms[i]
+            if denom.op in (Op.INTEGER, Op.REAL) and denom.data[0] < 0:
+                numer, denom = -numer, -denom
+            return numer, denom
+        elif obj.op is Op.FACTORS:
+            numer, denom = as_number(1), as_number(1)
+            for b, e in obj.data.items():
+                bnumer, bdenom = as_numer_denom(b)
+                if e > 0:
+                    numer *= bnumer ** e
+                    denom *= bdenom ** e
+                elif e < 0:
+                    numer *= bdenom ** (-e)
+                    denom *= bnumer ** (-e)
+            return numer, denom
+    raise OpError(f'cannot convert {type(obj)} to numer and denom')
+
+
+def _counter():
+    # Used internally to generate unique dummy symbols
+    counter = 0
+    while True:
+        counter += 1
+        yield counter
+
+
+COUNTER = _counter()
+
+
+def eliminate_quotes(s):
+    """Replace quoted substrings of input string.
+
+    Return a new string and a mapping of replacements.
+    """
+    d = {}
+
+    def repl(m):
+        kind, value = m.groups()[:2]
+        if kind:
+            # remove trailing underscore
+            kind = kind[:-1]
+        p = {"'": "SINGLE", '"': "DOUBLE"}[value[0]]
+        k = f'{kind}@__f2py_QUOTES_{p}_{COUNTER.__next__()}@'
+        d[k] = value
+        return k
+
+    new_s = re.sub(r'({kind}_|)({single_quoted}|{double_quoted})'.format(
+        kind=r'\w[\w\d_]*',
+        single_quoted=r"('([^'\\]|(\\.))*')",
+        double_quoted=r'("([^"\\]|(\\.))*")'),
+        repl, s)
+
+    assert '"' not in new_s
+    assert "'" not in new_s
+
+    return new_s, d
+
+
+def insert_quotes(s, d):
+    """Inverse of eliminate_quotes.
+    """
+    for k, v in d.items():
+        kind = k[:k.find('@')]
+        if kind:
+            kind += '_'
+        s = s.replace(k, kind + v)
+    return s
+
+
+def replace_parenthesis(s):
+    """Replace substrings of input that are enclosed in parenthesis.
+
+    Return a new string and a mapping of replacements.
+    """
+    # Find a parenthesis pair that appears first.
+
+    # Fortran deliminator are `(`, `)`, `[`, `]`, `(/', '/)`, `/`.
+    # We don't handle `/` deliminator because it is not a part of an
+    # expression.
+    left, right = None, None
+    mn_i = len(s)
+    for left_, right_ in (('(/', '/)'),
+                          '()',
+                          '{}',  # to support C literal structs
+                          '[]'):
+        i = s.find(left_)
+        if i == -1:
+            continue
+        if i < mn_i:
+            mn_i = i
+            left, right = left_, right_
+
+    if left is None:
+        return s, {}
+
+    i = mn_i
+    j = s.find(right, i)
+
+    while s.count(left, i + 1, j) != s.count(right, i + 1, j):
+        j = s.find(right, j + 1)
+        if j == -1:
+            raise ValueError(f'Mismatch of {left+right} parenthesis in {s!r}')
+
+    p = {'(': 'ROUND', '[': 'SQUARE', '{': 'CURLY', '(/': 'ROUNDDIV'}[left]
+
+    k = f'@__f2py_PARENTHESIS_{p}_{COUNTER.__next__()}@'
+    v = s[i+len(left):j]
+    r, d = replace_parenthesis(s[j+len(right):])
+    d[k] = v
+    return s[:i] + k + r, d
+
+
+def _get_parenthesis_kind(s):
+    assert s.startswith('@__f2py_PARENTHESIS_'), s
+    return s.split('_')[4]
+
+
+def unreplace_parenthesis(s, d):
+    """Inverse of replace_parenthesis.
+    """
+    for k, v in d.items():
+        p = _get_parenthesis_kind(k)
+        left = dict(ROUND='(', SQUARE='[', CURLY='{', ROUNDDIV='(/')[p]
+        right = dict(ROUND=')', SQUARE=']', CURLY='}', ROUNDDIV='/)')[p]
+        s = s.replace(k, left + v + right)
+    return s
+
+
+def fromstring(s, language=Language.C):
+    """Create an expression from a string.
+
+    This is a "lazy" parser, that is, only arithmetic operations are
+    resolved, non-arithmetic operations are treated as symbols.
+    """
+    r = _FromStringWorker(language=language).parse(s)
+    if isinstance(r, Expr):
+        return r
+    raise ValueError(f'failed to parse `{s}` to Expr instance: got `{r}`')
+
+
+class _Pair:
+    # Internal class to represent a pair of expressions
+
+    def __init__(self, left, right):
+        self.left = left
+        self.right = right
+
+    def substitute(self, symbols_map):
+        left, right = self.left, self.right
+        if isinstance(left, Expr):
+            left = left.substitute(symbols_map)
+        if isinstance(right, Expr):
+            right = right.substitute(symbols_map)
+        return _Pair(left, right)
+
+    def __repr__(self):
+        return f'{type(self).__name__}({self.left}, {self.right})'
+
+
+class _FromStringWorker:
+
+    def __init__(self, language=Language.C):
+        self.original = None
+        self.quotes_map = None
+        self.language = language
+
+    def finalize_string(self, s):
+        return insert_quotes(s, self.quotes_map)
+
+    def parse(self, inp):
+        self.original = inp
+        unquoted, self.quotes_map = eliminate_quotes(inp)
+        return self.process(unquoted)
+
+    def process(self, s, context='expr'):
+        """Parse string within the given context.
+
+        The context may define the result in case of ambiguous
+        expressions. For instance, consider expressions `f(x, y)` and
+        `(x, y) + (a, b)` where `f` is a function and pair `(x, y)`
+        denotes complex number. Specifying context as "args" or
+        "expr", the subexpression `(x, y)` will be parse to an
+        argument list or to a complex number, respectively.
+        """
+        if isinstance(s, (list, tuple)):
+            return type(s)(self.process(s_, context) for s_ in s)
+
+        assert isinstance(s, str), (type(s), s)
+
+        # replace subexpressions in parenthesis with f2py @-names
+        r, raw_symbols_map = replace_parenthesis(s)
+        r = r.strip()
+
+        def restore(r):
+            # restores subexpressions marked with f2py @-names
+            if isinstance(r, (list, tuple)):
+                return type(r)(map(restore, r))
+            return unreplace_parenthesis(r, raw_symbols_map)
+
+        # comma-separated tuple
+        if ',' in r:
+            operands = restore(r.split(','))
+            if context == 'args':
+                return tuple(self.process(operands))
+            if context == 'expr':
+                if len(operands) == 2:
+                    # complex number literal
+                    return as_complex(*self.process(operands))
+            raise NotImplementedError(
+                f'parsing comma-separated list (context={context}): {r}')
+
+        # ternary operation
+        m = re.match(r'\A([^?]+)[?]([^:]+)[:](.+)\Z', r)
+        if m:
+            assert context == 'expr', context
+            oper, expr1, expr2 = restore(m.groups())
+            oper = self.process(oper)
+            expr1 = self.process(expr1)
+            expr2 = self.process(expr2)
+            return as_ternary(oper, expr1, expr2)
+
+        # relational expression
+        if self.language is Language.Fortran:
+            m = re.match(
+                r'\A(.+)\s*[.](eq|ne|lt|le|gt|ge)[.]\s*(.+)\Z', r, re.I)
+        else:
+            m = re.match(
+                r'\A(.+)\s*([=][=]|[!][=]|[<][=]|[<]|[>][=]|[>])\s*(.+)\Z', r)
+        if m:
+            left, rop, right = m.groups()
+            if self.language is Language.Fortran:
+                rop = '.' + rop + '.'
+            left, right = self.process(restore((left, right)))
+            rop = RelOp.fromstring(rop, language=self.language)
+            return Expr(Op.RELATIONAL, (rop, left, right))
+
+        # keyword argument
+        m = re.match(r'\A(\w[\w\d_]*)\s*[=](.*)\Z', r)
+        if m:
+            keyname, value = m.groups()
+            value = restore(value)
+            return _Pair(keyname, self.process(value))
+
+        # addition/subtraction operations
+        operands = re.split(r'((? 1:
+            result = self.process(restore(operands[0] or '0'))
+            for op, operand in zip(operands[1::2], operands[2::2]):
+                operand = self.process(restore(operand))
+                op = op.strip()
+                if op == '+':
+                    result += operand
+                else:
+                    assert op == '-'
+                    result -= operand
+            return result
+
+        # string concatenate operation
+        if self.language is Language.Fortran and '//' in r:
+            operands = restore(r.split('//'))
+            return Expr(Op.CONCAT,
+                        tuple(self.process(operands)))
+
+        # multiplication/division operations
+        operands = re.split(r'(?<=[@\w\d_])\s*([*]|/)',
+                            (r if self.language is Language.C
+                             else r.replace('**', '@__f2py_DOUBLE_STAR@')))
+        if len(operands) > 1:
+            operands = restore(operands)
+            if self.language is not Language.C:
+                operands = [operand.replace('@__f2py_DOUBLE_STAR@', '**')
+                            for operand in operands]
+            # Expression is an arithmetic product
+            result = self.process(operands[0])
+            for op, operand in zip(operands[1::2], operands[2::2]):
+                operand = self.process(operand)
+                op = op.strip()
+                if op == '*':
+                    result *= operand
+                else:
+                    assert op == '/'
+                    result /= operand
+            return result
+
+        # referencing/dereferencing
+        if r.startswith(('*', '&')):
+            op = {'*': Op.DEREF, '&': Op.REF}[r[0]]
+            operand = self.process(restore(r[1:]))
+            return Expr(op, operand)
+
+        # exponentiation operations
+        if self.language is not Language.C and '**' in r:
+            operands = list(reversed(restore(r.split('**'))))
+            result = self.process(operands[0])
+            for operand in operands[1:]:
+                operand = self.process(operand)
+                result = operand ** result
+            return result
+
+        # int-literal-constant
+        m = re.match(r'\A({digit_string})({kind}|)\Z'.format(
+            digit_string=r'\d+',
+            kind=r'_(\d+|\w[\w\d_]*)'), r)
+        if m:
+            value, _, kind = m.groups()
+            if kind and kind.isdigit():
+                kind = int(kind)
+            return as_integer(int(value), kind or 4)
+
+        # real-literal-constant
+        m = re.match(r'\A({significant}({exponent}|)|\d+{exponent})({kind}|)\Z'
+                     .format(
+                         significant=r'[.]\d+|\d+[.]\d*',
+                         exponent=r'[edED][+-]?\d+',
+                         kind=r'_(\d+|\w[\w\d_]*)'), r)
+        if m:
+            value, _, _, kind = m.groups()
+            if kind and kind.isdigit():
+                kind = int(kind)
+            value = value.lower()
+            if 'd' in value:
+                return as_real(float(value.replace('d', 'e')), kind or 8)
+            return as_real(float(value), kind or 4)
+
+        # string-literal-constant with kind parameter specification
+        if r in self.quotes_map:
+            kind = r[:r.find('@')]
+            return as_string(self.quotes_map[r], kind or 1)
+
+        # array constructor or literal complex constant or
+        # parenthesized expression
+        if r in raw_symbols_map:
+            paren = _get_parenthesis_kind(r)
+            items = self.process(restore(raw_symbols_map[r]),
+                                 'expr' if paren == 'ROUND' else 'args')
+            if paren == 'ROUND':
+                if isinstance(items, Expr):
+                    return items
+            if paren in ['ROUNDDIV', 'SQUARE']:
+                # Expression is a array constructor
+                if isinstance(items, Expr):
+                    items = (items,)
+                return as_array(items)
+
+        # function call/indexing
+        m = re.match(r'\A(.+)\s*(@__f2py_PARENTHESIS_(ROUND|SQUARE)_\d+@)\Z',
+                     r)
+        if m:
+            target, args, paren = m.groups()
+            target = self.process(restore(target))
+            args = self.process(restore(args)[1:-1], 'args')
+            if not isinstance(args, tuple):
+                args = args,
+            if paren == 'ROUND':
+                kwargs = dict((a.left, a.right) for a in args
+                              if isinstance(a, _Pair))
+                args = tuple(a for a in args if not isinstance(a, _Pair))
+                # Warning: this could also be Fortran indexing operation..
+                return as_apply(target, *args, **kwargs)
+            else:
+                # Expression is a C/Python indexing operation
+                # (e.g. used in .pyf files)
+                assert paren == 'SQUARE'
+                return target[args]
+
+        # Fortran standard conforming identifier
+        m = re.match(r'\A\w[\w\d_]*\Z', r)
+        if m:
+            return as_symbol(r)
+
+        # fall-back to symbol
+        r = self.finalize_string(restore(r))
+        ewarn(
+            f'fromstring: treating {r!r} as symbol (original={self.original})')
+        return as_symbol(r)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..5ecb68077b943bf401a3ef268656a67c094078ea
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/__init__.py
@@ -0,0 +1,15 @@
+from numpy.testing import IS_WASM, IS_EDITABLE
+import pytest
+
+if IS_WASM:
+    pytest.skip(
+        "WASM/Pyodide does not use or support Fortran",
+        allow_module_level=True
+    )
+
+
+if IS_EDITABLE:
+    pytest.skip(
+        "Editable install doesn't support tests with a compile step",
+        allow_module_level=True
+    )
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/abstract_interface/foo.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/abstract_interface/foo.f90
new file mode 100644
index 0000000000000000000000000000000000000000..76d16aae2b57160228f41c00128ac0067eaf5249
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/abstract_interface/foo.f90
@@ -0,0 +1,34 @@
+module ops_module
+
+  abstract interface
+    subroutine op(x, y, z)
+      integer, intent(in) :: x, y
+      integer, intent(out) :: z
+    end subroutine
+  end interface
+
+contains
+
+  subroutine foo(x, y, r1, r2)
+    integer, intent(in) :: x, y
+    integer, intent(out) :: r1, r2
+    procedure (op) add1, add2
+    procedure (op), pointer::p
+    p=>add1
+    call p(x, y, r1)
+    p=>add2
+    call p(x, y, r2)
+  end subroutine
+end module
+
+subroutine add1(x, y, z)
+  integer, intent(in) :: x, y
+  integer, intent(out) :: z
+  z = x + y
+end subroutine
+
+subroutine add2(x, y, z)
+  integer, intent(in) :: x, y
+  integer, intent(out) :: z
+  z = x + 2 * y
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/abstract_interface/gh18403_mod.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/abstract_interface/gh18403_mod.f90
new file mode 100644
index 0000000000000000000000000000000000000000..36791e469f5aee1d5fe15b121abeb9c62a45fadf
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/abstract_interface/gh18403_mod.f90
@@ -0,0 +1,6 @@
+module test
+  abstract interface
+    subroutine foo()
+    end subroutine
+  end interface
+end module test
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/array_from_pyobj/wrapmodule.c b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/array_from_pyobj/wrapmodule.c
new file mode 100644
index 0000000000000000000000000000000000000000..b66672a43e21dd0641bb29085db716181f5e94ce
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/array_from_pyobj/wrapmodule.c
@@ -0,0 +1,235 @@
+/*
+ * This file was auto-generated with f2py (version:2_1330) and hand edited by
+ * Pearu for testing purposes.  Do not edit this file unless you know what you
+ * are doing!!!
+ */
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/*********************** See f2py2e/cfuncs.py: includes ***********************/
+
+#define PY_SSIZE_T_CLEAN
+#include 
+#include "fortranobject.h"
+#include 
+
+static PyObject *wrap_error;
+static PyObject *wrap_module;
+
+/************************************ call ************************************/
+static char doc_f2py_rout_wrap_call[] = "\
+Function signature:\n\
+  arr = call(type_num,dims,intent,obj)\n\
+Required arguments:\n"
+"  type_num : input int\n"
+"  dims : input int-sequence\n"
+"  intent : input int\n"
+"  obj : input python object\n"
+"Return objects:\n"
+"  arr : array";
+static PyObject *f2py_rout_wrap_call(PyObject *capi_self,
+                                     PyObject *capi_args) {
+  PyObject * volatile capi_buildvalue = NULL;
+  int type_num = 0;
+  int elsize = 0;
+  npy_intp *dims = NULL;
+  PyObject *dims_capi = Py_None;
+  int rank = 0;
+  int intent = 0;
+  PyArrayObject *capi_arr_tmp = NULL;
+  PyObject *arr_capi = Py_None;
+  int i;
+
+  if (!PyArg_ParseTuple(capi_args,"iiOiO|:wrap.call",\
+                        &type_num,&elsize,&dims_capi,&intent,&arr_capi))
+    return NULL;
+  rank = PySequence_Length(dims_capi);
+  dims = malloc(rank*sizeof(npy_intp));
+  for (i=0;ikind,
+                       PyArray_DESCR(arr)->type,
+                       PyArray_TYPE(arr),
+                       PyArray_ITEMSIZE(arr),
+                       PyDataType_ALIGNMENT(PyArray_DESCR(arr)),
+                       PyArray_FLAGS(arr),
+                       PyArray_ITEMSIZE(arr));
+}
+
+static PyMethodDef f2py_module_methods[] = {
+
+  {"call",f2py_rout_wrap_call,METH_VARARGS,doc_f2py_rout_wrap_call},
+  {"array_attrs",f2py_rout_wrap_attrs,METH_VARARGS,doc_f2py_rout_wrap_attrs},
+  {NULL,NULL}
+};
+
+static struct PyModuleDef moduledef = {
+    PyModuleDef_HEAD_INIT,
+    "test_array_from_pyobj_ext",
+    NULL,
+    -1,
+    f2py_module_methods,
+    NULL,
+    NULL,
+    NULL,
+    NULL
+};
+
+PyMODINIT_FUNC PyInit_test_array_from_pyobj_ext(void) {
+  PyObject *m,*d, *s;
+  m = wrap_module = PyModule_Create(&moduledef);
+  Py_SET_TYPE(&PyFortran_Type, &PyType_Type);
+  import_array();
+  if (PyErr_Occurred())
+    Py_FatalError("can't initialize module wrap (failed to import numpy)");
+  d = PyModule_GetDict(m);
+  s = PyUnicode_FromString("This module 'wrap' is auto-generated with f2py (version:2_1330).\nFunctions:\n"
+                           "  arr = call(type_num,dims,intent,obj)\n"
+                           ".");
+  PyDict_SetItemString(d, "__doc__", s);
+  wrap_error = PyErr_NewException ("wrap.error", NULL, NULL);
+  Py_DECREF(s);
+
+#define ADDCONST(NAME, CONST)              \
+    s = PyLong_FromLong(CONST);             \
+    PyDict_SetItemString(d, NAME, s);      \
+    Py_DECREF(s)
+
+  ADDCONST("F2PY_INTENT_IN", F2PY_INTENT_IN);
+  ADDCONST("F2PY_INTENT_INOUT", F2PY_INTENT_INOUT);
+  ADDCONST("F2PY_INTENT_OUT", F2PY_INTENT_OUT);
+  ADDCONST("F2PY_INTENT_HIDE", F2PY_INTENT_HIDE);
+  ADDCONST("F2PY_INTENT_CACHE", F2PY_INTENT_CACHE);
+  ADDCONST("F2PY_INTENT_COPY", F2PY_INTENT_COPY);
+  ADDCONST("F2PY_INTENT_C", F2PY_INTENT_C);
+  ADDCONST("F2PY_OPTIONAL", F2PY_OPTIONAL);
+  ADDCONST("F2PY_INTENT_INPLACE", F2PY_INTENT_INPLACE);
+  ADDCONST("NPY_BOOL", NPY_BOOL);
+  ADDCONST("NPY_BYTE", NPY_BYTE);
+  ADDCONST("NPY_UBYTE", NPY_UBYTE);
+  ADDCONST("NPY_SHORT", NPY_SHORT);
+  ADDCONST("NPY_USHORT", NPY_USHORT);
+  ADDCONST("NPY_INT", NPY_INT);
+  ADDCONST("NPY_UINT", NPY_UINT);
+  ADDCONST("NPY_INTP", NPY_INTP);
+  ADDCONST("NPY_UINTP", NPY_UINTP);
+  ADDCONST("NPY_LONG", NPY_LONG);
+  ADDCONST("NPY_ULONG", NPY_ULONG);
+  ADDCONST("NPY_LONGLONG", NPY_LONGLONG);
+  ADDCONST("NPY_ULONGLONG", NPY_ULONGLONG);
+  ADDCONST("NPY_FLOAT", NPY_FLOAT);
+  ADDCONST("NPY_DOUBLE", NPY_DOUBLE);
+  ADDCONST("NPY_LONGDOUBLE", NPY_LONGDOUBLE);
+  ADDCONST("NPY_CFLOAT", NPY_CFLOAT);
+  ADDCONST("NPY_CDOUBLE", NPY_CDOUBLE);
+  ADDCONST("NPY_CLONGDOUBLE", NPY_CLONGDOUBLE);
+  ADDCONST("NPY_OBJECT", NPY_OBJECT);
+  ADDCONST("NPY_STRING", NPY_STRING);
+  ADDCONST("NPY_UNICODE", NPY_UNICODE);
+  ADDCONST("NPY_VOID", NPY_VOID);
+  ADDCONST("NPY_NTYPES_LEGACY", NPY_NTYPES_LEGACY);
+  ADDCONST("NPY_NOTYPE", NPY_NOTYPE);
+  ADDCONST("NPY_USERDEF", NPY_USERDEF);
+
+  ADDCONST("CONTIGUOUS", NPY_ARRAY_C_CONTIGUOUS);
+  ADDCONST("FORTRAN", NPY_ARRAY_F_CONTIGUOUS);
+  ADDCONST("OWNDATA", NPY_ARRAY_OWNDATA);
+  ADDCONST("FORCECAST", NPY_ARRAY_FORCECAST);
+  ADDCONST("ENSURECOPY", NPY_ARRAY_ENSURECOPY);
+  ADDCONST("ENSUREARRAY", NPY_ARRAY_ENSUREARRAY);
+  ADDCONST("ALIGNED", NPY_ARRAY_ALIGNED);
+  ADDCONST("WRITEABLE", NPY_ARRAY_WRITEABLE);
+  ADDCONST("WRITEBACKIFCOPY", NPY_ARRAY_WRITEBACKIFCOPY);
+
+  ADDCONST("BEHAVED", NPY_ARRAY_BEHAVED);
+  ADDCONST("BEHAVED_NS", NPY_ARRAY_BEHAVED_NS);
+  ADDCONST("CARRAY", NPY_ARRAY_CARRAY);
+  ADDCONST("FARRAY", NPY_ARRAY_FARRAY);
+  ADDCONST("CARRAY_RO", NPY_ARRAY_CARRAY_RO);
+  ADDCONST("FARRAY_RO", NPY_ARRAY_FARRAY_RO);
+  ADDCONST("DEFAULT", NPY_ARRAY_DEFAULT);
+  ADDCONST("UPDATE_ALL", NPY_ARRAY_UPDATE_ALL);
+
+#undef ADDCONST
+
+  if (PyErr_Occurred())
+    Py_FatalError("can't initialize module wrap");
+
+#ifdef F2PY_REPORT_ATEXIT
+  on_exit(f2py_report_on_exit,(void*)"array_from_pyobj.wrap.call");
+#endif
+
+#if Py_GIL_DISABLED
+    // signal whether this module supports running with the GIL disabled
+    PyUnstable_Module_SetGIL(m, Py_MOD_GIL_NOT_USED);
+#endif
+
+  return m;
+}
+#ifdef __cplusplus
+}
+#endif
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/.f2py_f2cmap b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/.f2py_f2cmap
new file mode 100644
index 0000000000000000000000000000000000000000..2665f89b52d2f17ce7b0a857bea73ec5fab2df88
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/.f2py_f2cmap
@@ -0,0 +1 @@
+dict(real=dict(rk="double"))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_free.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_free.f90
new file mode 100644
index 0000000000000000000000000000000000000000..b301710f5dda005e67e40cc21a5e0d62d0ec116a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_free.f90
@@ -0,0 +1,34 @@
+
+subroutine sum(x, res)
+  implicit none
+  real, intent(in) :: x(:)
+  real, intent(out) :: res
+
+  integer :: i
+
+  !print *, "sum: size(x) = ", size(x)
+
+  res = 0.0
+
+  do i = 1, size(x)
+    res = res + x(i)
+  enddo
+
+end subroutine sum
+
+function fsum(x) result (res)
+  implicit none
+  real, intent(in) :: x(:)
+  real :: res
+
+  integer :: i
+
+  !print *, "fsum: size(x) = ", size(x)
+
+  res = 0.0
+
+  do i = 1, size(x)
+    res = res + x(i)
+  enddo
+
+end function fsum
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_mod.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_mod.f90
new file mode 100644
index 0000000000000000000000000000000000000000..cbe6317ed8f39f8a633b058a4ab64fe1797ea7b0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_mod.f90
@@ -0,0 +1,41 @@
+
+module mod
+
+contains
+
+subroutine sum(x, res)
+  implicit none
+  real, intent(in) :: x(:)
+  real, intent(out) :: res
+
+  integer :: i
+
+  !print *, "sum: size(x) = ", size(x)
+
+  res = 0.0
+
+  do i = 1, size(x)
+    res = res + x(i)
+  enddo
+
+end subroutine sum
+
+function fsum(x) result (res)
+  implicit none
+  real, intent(in) :: x(:)
+  real :: res
+
+  integer :: i
+
+  !print *, "fsum: size(x) = ", size(x)
+
+  res = 0.0
+
+  do i = 1, size(x)
+    res = res + x(i)
+  enddo
+
+end function fsum
+
+
+end module mod
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_use.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_use.f90
new file mode 100644
index 0000000000000000000000000000000000000000..337465ac540440fc8e8e10d23757af202e8a52a4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/foo_use.f90
@@ -0,0 +1,19 @@
+subroutine sum_with_use(x, res)
+  use precision
+
+  implicit none
+
+  real(kind=rk), intent(in) :: x(:)
+  real(kind=rk), intent(out) :: res
+
+  integer :: i
+
+  !print *, "size(x) = ", size(x)
+
+  res = 0.0
+
+  do i = 1, size(x)
+    res = res + x(i)
+  enddo
+
+ end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/precision.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/precision.f90
new file mode 100644
index 0000000000000000000000000000000000000000..ed6c70cbbe7dadfd50b616a8cc1570939ef5afd8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/assumed_shape/precision.f90
@@ -0,0 +1,4 @@
+module precision
+  integer, parameter :: rk = selected_real_kind(8)
+  integer, parameter :: ik = selected_real_kind(4)
+end module
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/block_docstring/foo.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/block_docstring/foo.f
new file mode 100644
index 0000000000000000000000000000000000000000..c8315f12ce0f5cf3dbc4c965ad8843d0c10441cd
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/block_docstring/foo.f
@@ -0,0 +1,6 @@
+      SUBROUTINE FOO()
+      INTEGER BAR(2, 3)
+
+      COMMON  /BLOCK/ BAR
+      RETURN
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/foo.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/foo.f
new file mode 100644
index 0000000000000000000000000000000000000000..ba397bb38133faa8d502807368074e6b296749b9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/foo.f
@@ -0,0 +1,62 @@
+       subroutine t(fun,a)
+       integer a
+cf2py  intent(out) a
+       external fun
+       call fun(a)
+       end
+
+       subroutine func(a)
+cf2py  intent(in,out) a
+       integer a
+       a = a + 11
+       end
+
+       subroutine func0(a)
+cf2py  intent(out) a
+       integer a
+       a = 11
+       end
+
+       subroutine t2(a)
+cf2py  intent(callback) fun
+       integer a
+cf2py  intent(out) a
+       external fun
+       call fun(a)
+       end
+
+       subroutine string_callback(callback, a)
+       external callback
+       double precision callback
+       double precision a
+       character*1 r
+cf2py  intent(out) a
+       r = 'r'
+       a = callback(r)
+       end
+
+       subroutine string_callback_array(callback, cu, lencu, a)
+       external callback
+       integer callback
+       integer lencu
+       character*8 cu(lencu)
+       integer a
+cf2py  intent(out) a
+
+       a = callback(cu, lencu)
+       end
+
+       subroutine hidden_callback(a, r)
+       external global_f
+cf2py  intent(callback, hide) global_f
+       integer a, r, global_f
+cf2py  intent(out) r
+       r = global_f(a)
+       end
+
+       subroutine hidden_callback2(a, r)
+       external global_f
+       integer a, r, global_f
+cf2py  intent(out) r
+       r = global_f(a)
+       end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh17797.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh17797.f90
new file mode 100644
index 0000000000000000000000000000000000000000..49853afd766a90e521104081bf77236a252d3c70
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh17797.f90
@@ -0,0 +1,7 @@
+function gh17797(f, y) result(r)
+  external f
+  integer(8) :: r, f
+  integer(8), dimension(:) :: y
+  r = f(0)
+  r = r + sum(y)
+end function gh17797
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh18335.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh18335.f90
new file mode 100644
index 0000000000000000000000000000000000000000..92b6d7540c827d20c7d2169c56f14653954d7ff9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh18335.f90
@@ -0,0 +1,17 @@
+        ! When gh18335_workaround is defined as an extension,
+        ! the issue cannot be reproduced.
+        !subroutine gh18335_workaround(f, y)
+        !  implicit none
+        !  external f
+        !  integer(kind=1) :: y(1)
+        !  call f(y)
+        !end subroutine gh18335_workaround
+
+        function gh18335(f) result (r)
+          implicit none
+          external f
+          integer(kind=1) :: y(1), r
+          y(1) = 123
+          call f(y)
+          r = y(1)
+        end function gh18335
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh25211.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh25211.f
new file mode 100644
index 0000000000000000000000000000000000000000..ba727a10a07ebec77845f8a67746cf5d5bb3d32a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh25211.f
@@ -0,0 +1,10 @@
+      SUBROUTINE FOO(FUN,R)
+      EXTERNAL FUN
+      INTEGER I
+      REAL*8 R, FUN
+Cf2py intent(out) r
+      R = 0D0
+      DO I=-5,5
+         R = R + FUN(I)
+      ENDDO
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh25211.pyf b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh25211.pyf
new file mode 100644
index 0000000000000000000000000000000000000000..f12011153370b022a2686222655a12245a1eb14e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh25211.pyf
@@ -0,0 +1,18 @@
+python module __user__routines
+    interface
+        function fun(i) result (r)
+            integer :: i
+            real*8 :: r
+        end function fun
+    end interface
+end python module __user__routines
+
+python module callback2
+    interface
+        subroutine foo(f,r)
+            use __user__routines, f=>fun
+            external f
+            real*8 intent(out) :: r
+        end subroutine foo
+    end interface
+end python module callback2
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh26681.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh26681.f90
new file mode 100644
index 0000000000000000000000000000000000000000..00c0ec93df059b0d1952471fae440016abbac3e5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/callback/gh26681.f90
@@ -0,0 +1,18 @@
+module utils
+    implicit none
+  contains
+    subroutine my_abort(message)
+      implicit none
+      character(len=*), intent(in) :: message
+      !f2py callstatement PyErr_SetString(PyExc_ValueError, message);f2py_success = 0;
+      !f2py callprotoargument char*
+      write(0,*) "THIS SHOULD NOT APPEAR"
+      stop 1
+    end subroutine my_abort
+
+    subroutine do_something(message)
+        !f2py    intent(callback, hide) mypy_abort
+        character(len=*), intent(in) :: message
+        call mypy_abort(message)
+    end subroutine do_something
+end module utils
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/gh_22819.pyf b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/gh_22819.pyf
new file mode 100644
index 0000000000000000000000000000000000000000..8eb5bb106a366ec214944c19e53d9788c0596e55
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/gh_22819.pyf
@@ -0,0 +1,6 @@
+python module test_22819
+    interface
+        subroutine hello()
+        end subroutine hello
+    end interface
+end python module test_22819
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/hi77.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/hi77.f
new file mode 100644
index 0000000000000000000000000000000000000000..8b916ebe0459eb812baad694aa671011a1381f8a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/hi77.f
@@ -0,0 +1,3 @@
+      SUBROUTINE HI
+        PRINT*, "HELLO WORLD"
+      END SUBROUTINE
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/hiworld.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/hiworld.f90
new file mode 100644
index 0000000000000000000000000000000000000000..981f877547a4caec513a15dea1401bbc98ce3f23
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/cli/hiworld.f90
@@ -0,0 +1,3 @@
+function hi()
+  print*, "Hello World"
+end function
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/common/block.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/common/block.f
new file mode 100644
index 0000000000000000000000000000000000000000..7ea7968fe935182bd17a697b316569546937b715
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/common/block.f
@@ -0,0 +1,11 @@
+      SUBROUTINE INITCB
+      DOUBLE PRECISION LONG
+      CHARACTER        STRING
+      INTEGER          OK
+    
+      COMMON  /BLOCK/ LONG, STRING, OK
+      LONG = 1.0
+      STRING = '2'
+      OK = 3
+      RETURN
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/common/gh19161.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/common/gh19161.f90
new file mode 100644
index 0000000000000000000000000000000000000000..a2f40735ad66a3cb70cfc10a3938882c77ff54ea
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/common/gh19161.f90
@@ -0,0 +1,10 @@
+module typedefmod
+  use iso_fortran_env, only: real32
+end module typedefmod
+
+module data
+  use typedefmod, only: real32
+  implicit none
+  real(kind=real32) :: x
+  common/test/x
+end module data
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/accesstype.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/accesstype.f90
new file mode 100644
index 0000000000000000000000000000000000000000..e2cbd445daf57f21e2d727f42a3891ec28725175
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/accesstype.f90
@@ -0,0 +1,13 @@
+module foo
+  public
+  type, private, bind(c) :: a
+     integer :: i
+  end type a
+  type, bind(c) :: b_
+     integer :: j
+  end type b_
+  public :: b_
+  type :: c
+     integer :: k
+  end type c
+end module foo
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/common_with_division.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/common_with_division.f
new file mode 100644
index 0000000000000000000000000000000000000000..4aa12cf6dcee9b4936d10f1c5d55f8d59762062a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/common_with_division.f
@@ -0,0 +1,17 @@
+      subroutine common_with_division
+      integer lmu,lb,lub,lpmin
+      parameter (lmu=1)
+      parameter (lb=20)
+c     crackfortran fails to parse this  
+c     parameter (lub=(lb-1)*lmu+1)
+c     crackfortran can successfully parse this though
+      parameter (lub=lb*lmu-lmu+1)
+      parameter (lpmin=2)
+
+c     crackfortran fails to parse this correctly 
+c     common /mortmp/ ctmp((lub*(lub+1)*(lub+1))/lpmin+1)
+      
+      common /mortmp/ ctmp(lub/lpmin+1)
+      
+      return
+      end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_common.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_common.f
new file mode 100644
index 0000000000000000000000000000000000000000..5ffd865c837997f8aae2d8faebfd519df61d8cd2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_common.f
@@ -0,0 +1,8 @@
+        BLOCK DATA PARAM_INI
+        COMMON /MYCOM/ MYDATA
+            DATA MYDATA /0/
+        END
+        SUBROUTINE SUB1
+        COMMON /MYCOM/ MYDATA
+        MYDATA = MYDATA + 1
+        END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_multiplier.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_multiplier.f
new file mode 100644
index 0000000000000000000000000000000000000000..19ff8a83e97b7a1fa9ef82a2f4d5241ec422cb01
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_multiplier.f
@@ -0,0 +1,5 @@
+      BLOCK DATA MYBLK
+      IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+      COMMON /MYCOM/ IVAR1, IVAR2, IVAR3, IVAR4, EVAR5
+            DATA IVAR1, IVAR2, IVAR3, IVAR4, EVAR5 /2*3,2*2,0.0D0/
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_stmts.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_stmts.f90
new file mode 100644
index 0000000000000000000000000000000000000000..576c5e485baf209aea79f566fc09cb20138a0a25
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_stmts.f90
@@ -0,0 +1,20 @@
+! gh-23276
+module cmplxdat
+  implicit none
+  integer :: i, j
+  real :: x, y
+  real, dimension(2) :: z
+  real(kind=8) :: pi
+  complex(kind=8), target :: medium_ref_index
+  complex(kind=8), target :: ref_index_one, ref_index_two
+  complex(kind=8), dimension(2) :: my_array
+  real(kind=8), dimension(3) :: my_real_array = (/1.0d0, 2.0d0, 3.0d0/)
+
+  data i, j / 2, 3 /
+  data x, y / 1.5, 2.0 /
+  data z / 3.5, 7.0 /
+  data medium_ref_index / (1.d0, 0.d0) /
+  data ref_index_one, ref_index_two / (13.0d0, 21.0d0), (-30.0d0, 43.0d0) /
+  data my_array / (1.0d0, 2.0d0), (-3.0d0, 4.0d0) /
+  data pi / 3.1415926535897932384626433832795028841971693993751058209749445923078164062d0 /
+end module cmplxdat
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_with_comments.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_with_comments.f
new file mode 100644
index 0000000000000000000000000000000000000000..4128f004e840087ab8e08a06c76995b249a561b0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/data_with_comments.f
@@ -0,0 +1,8 @@
+      BLOCK DATA PARAM_INI
+      COMMON /MYCOM/ MYTAB
+      INTEGER  MYTAB(3)
+      DATA MYTAB/
+     *   0, ! 1 and more commenty stuff
+     *   4, ! 2
+     *   0 /
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/foo_deps.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/foo_deps.f90
new file mode 100644
index 0000000000000000000000000000000000000000..e327b25c81986b2191fc740991ca9e907b5b0fb6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/foo_deps.f90
@@ -0,0 +1,6 @@
+module foo
+  type bar
+    character(len = 4) :: text
+  end type bar
+  type(bar), parameter :: abar = bar('abar')
+end module foo
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh15035.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh15035.f
new file mode 100644
index 0000000000000000000000000000000000000000..1bb2e6745952cb10067116e9ae3337c8314061ee
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh15035.f
@@ -0,0 +1,16 @@
+        subroutine subb(k)
+          real(8), intent(inout) :: k(:)
+          k=k+1
+        endsubroutine
+
+        subroutine subc(w,k)
+          real(8), intent(in) :: w(:)
+          real(8), intent(out) :: k(size(w))
+          k=w+1
+        endsubroutine
+
+        function t0(value)
+          character value
+          character t0
+          t0 = value
+        endfunction
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh17859.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh17859.f
new file mode 100644
index 0000000000000000000000000000000000000000..995953845c5eb1b4fa2bdf70c18e0296d38e5252
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh17859.f
@@ -0,0 +1,12 @@
+        integer(8) function external_as_statement(fcn)
+        implicit none
+        external fcn
+        integer(8) :: fcn
+        external_as_statement = fcn(0)
+        end
+
+        integer(8) function external_as_attribute(fcn)
+        implicit none
+        integer(8), external :: fcn
+        external_as_attribute = fcn(0)
+        end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh22648.pyf b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh22648.pyf
new file mode 100644
index 0000000000000000000000000000000000000000..b3454f18635fc8fe2b8ea5d15f85a9d77af9a22b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh22648.pyf
@@ -0,0 +1,7 @@
+python module iri16py ! in
+    interface  ! in :iri16py
+        block data  ! in :iri16py:iridreg_modified.for
+           COMMON /fircom/ eden,tabhe,tabla,tabmo,tabza,tabfl
+       end block data 
+    end interface 
+end python module iri16py
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23533.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23533.f
new file mode 100644
index 0000000000000000000000000000000000000000..db522afa7d2fdd09e26f2d02a649a659d9ed7d60
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23533.f
@@ -0,0 +1,5 @@
+      SUBROUTINE EXAMPLE( )
+        IF( .TRUE. ) THEN
+            CALL DO_SOMETHING()
+        END IF ! ** .TRUE. **
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23598.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23598.f90
new file mode 100644
index 0000000000000000000000000000000000000000..e0dffb5ef29e3d5ba853ff4dfeda57b2bed6a9dc
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23598.f90
@@ -0,0 +1,4 @@
+integer function intproduct(a, b) result(res)
+  integer, intent(in) :: a, b
+  res = a*b
+end function
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23598Warn.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23598Warn.f90
new file mode 100644
index 0000000000000000000000000000000000000000..3b44efc5ef16e9f7e1105229371ae48ecc069ee5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23598Warn.f90
@@ -0,0 +1,11 @@
+module test_bug
+    implicit none
+    private
+    public :: intproduct
+
+contains
+    integer function intproduct(a, b) result(res)
+    integer, intent(in) :: a, b
+    res = a*b
+    end function
+end module
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23879.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23879.f90
new file mode 100644
index 0000000000000000000000000000000000000000..fac262d53c9d3f0f3a5ba1138594f5b694b95717
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh23879.f90
@@ -0,0 +1,20 @@
+module gh23879
+    implicit none
+    private
+    public :: foo
+
+ contains
+
+    subroutine foo(a, b)
+       integer, intent(in) :: a
+       integer, intent(out) :: b
+       b = a
+       call bar(b)
+    end subroutine
+
+    subroutine bar(x)
+        integer, intent(inout) :: x
+        x = 2*x
+     end subroutine
+
+ end module gh23879
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh27697.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh27697.f90
new file mode 100644
index 0000000000000000000000000000000000000000..a5eae4e79b25cd086df4ea2aa26d39ae48a8ca88
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh27697.f90
@@ -0,0 +1,12 @@
+module utils
+    implicit none
+  contains
+    subroutine my_abort(message)
+      implicit none
+      character(len=*), intent(in) :: message
+      !f2py callstatement PyErr_SetString(PyExc_ValueError, message);f2py_success = 0;
+      !f2py callprotoargument char*
+      write(0,*) "THIS SHOULD NOT APPEAR"
+      stop 1
+    end subroutine my_abort
+end module utils
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh2848.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh2848.f90
new file mode 100644
index 0000000000000000000000000000000000000000..31ea9327a4d9134011cfc668cc88961968756d77
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/gh2848.f90
@@ -0,0 +1,13 @@
+      subroutine gh2848( &
+        ! first 2 parameters
+        par1, par2,&
+        ! last 2 parameters
+        par3, par4)
+
+        integer, intent(in)  :: par1, par2
+        integer, intent(out) :: par3, par4
+
+        par3 = par1
+        par4 = par2
+
+      end subroutine gh2848
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/operators.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/operators.f90
new file mode 100644
index 0000000000000000000000000000000000000000..1d060a3d2bd5abd12732e6003cec53f36baeba7c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/operators.f90
@@ -0,0 +1,49 @@
+module foo
+  type bar
+     character(len = 32) :: item
+  end type bar
+  interface operator(.item.)
+     module procedure item_int, item_real
+  end interface operator(.item.)
+  interface operator(==)
+     module procedure items_are_equal
+  end interface operator(==)
+  interface assignment(=)
+     module procedure get_int, get_real
+  end interface assignment(=)
+contains
+  function item_int(val) result(elem)
+    integer, intent(in) :: val
+    type(bar) :: elem
+
+    write(elem%item, "(I32)") val
+  end function item_int
+
+  function item_real(val) result(elem)
+    real, intent(in) :: val
+    type(bar) :: elem
+
+    write(elem%item, "(1PE32.12)") val
+  end function item_real
+
+  function items_are_equal(val1, val2) result(equal)
+    type(bar), intent(in) :: val1, val2
+    logical :: equal
+
+    equal = (val1%item == val2%item)
+  end function items_are_equal
+
+  subroutine get_real(rval, item)
+    real, intent(out) :: rval
+    type(bar), intent(in) :: item
+
+    read(item%item, *) rval
+  end subroutine get_real
+
+  subroutine get_int(rval, item)
+    integer, intent(out) :: rval
+    type(bar), intent(in) :: item
+
+    read(item%item, *) rval
+  end subroutine get_int
+end module foo
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/privatemod.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/privatemod.f90
new file mode 100644
index 0000000000000000000000000000000000000000..2674c214767b33663e51ee1d32ad7a1792c92680
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/privatemod.f90
@@ -0,0 +1,11 @@
+module foo
+  private
+  integer :: a
+  public :: setA
+  integer :: b
+contains
+  subroutine setA(v)
+    integer, intent(in) :: v
+    a = v
+  end subroutine setA
+end module foo
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/publicmod.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/publicmod.f90
new file mode 100644
index 0000000000000000000000000000000000000000..1db76e3fe06828ba0d1b640720ec70422cde6872
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/publicmod.f90
@@ -0,0 +1,10 @@
+module foo
+  public
+  integer, private :: a
+  public :: setA
+contains
+  subroutine setA(v)
+    integer, intent(in) :: v
+    a = v
+  end subroutine setA
+end module foo
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/pubprivmod.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/pubprivmod.f90
new file mode 100644
index 0000000000000000000000000000000000000000..46bef7cb91122281ddac7d0f0474c2c01b2a5e6f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/pubprivmod.f90
@@ -0,0 +1,10 @@
+module foo
+  public
+  integer, private :: a
+  integer :: b
+contains
+  subroutine setA(v)
+    integer, intent(in) :: v
+    a = v
+  end subroutine setA
+end module foo
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/unicode_comment.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/unicode_comment.f90
new file mode 100644
index 0000000000000000000000000000000000000000..13515ce98c50e88a03004161fb135e8502005a82
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/crackfortran/unicode_comment.f90
@@ -0,0 +1,4 @@
+subroutine foo(x)
+  real(8), intent(in) :: x
+  ! Écrit à l'écran la valeur de x
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/f2cmap/.f2py_f2cmap b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/f2cmap/.f2py_f2cmap
new file mode 100644
index 0000000000000000000000000000000000000000..a4425f8876f5b7ec9c72a11862a8cd4574d33ea8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/f2cmap/.f2py_f2cmap
@@ -0,0 +1 @@
+dict(real=dict(real32='float', real64='double'), integer=dict(int64='long_long'))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/f2cmap/isoFortranEnvMap.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/f2cmap/isoFortranEnvMap.f90
new file mode 100644
index 0000000000000000000000000000000000000000..1e1dc1d4054b36d2b2d9104e8d6ab708361bfbe8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/f2cmap/isoFortranEnvMap.f90
@@ -0,0 +1,9 @@
+      subroutine func1(n, x, res)
+        use, intrinsic :: iso_fortran_env, only: int64, real64
+        implicit none
+        integer(int64), intent(in) :: n
+        real(real64), intent(in) :: x(n)
+        real(real64), intent(out) :: res
+!f2py   intent(hide) :: n
+        res = sum(x)
+      end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/isocintrin/isoCtests.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/isocintrin/isoCtests.f90
new file mode 100644
index 0000000000000000000000000000000000000000..765f7c1ce6608a0c8588b6c20edd052e2d3e07bf
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/isocintrin/isoCtests.f90
@@ -0,0 +1,34 @@
+  module coddity
+    use iso_c_binding, only: c_double, c_int, c_int64_t
+    implicit none
+    contains
+      subroutine c_add(a, b, c) bind(c, name="c_add")
+        real(c_double), intent(in) :: a, b
+        real(c_double), intent(out) :: c
+        c = a + b
+      end subroutine c_add
+      ! gh-9693
+      function wat(x, y) result(z) bind(c)
+          integer(c_int), intent(in) :: x, y
+          integer(c_int) :: z
+
+          z = x + 7
+      end function wat
+      ! gh-25207
+      subroutine c_add_int64(a, b, c) bind(c)
+        integer(c_int64_t), intent(in) :: a, b
+        integer(c_int64_t), intent(out) :: c
+        c = a + b
+      end subroutine c_add_int64
+      ! gh-25207
+      subroutine add_arr(A, B, C)
+         integer(c_int64_t), intent(in) :: A(3)
+         integer(c_int64_t), intent(in) :: B(3)
+         integer(c_int64_t), intent(out) :: C(3)
+         integer :: j
+
+         do j = 1, 3
+            C(j) = A(j)+B(j)
+         end do
+      end subroutine
+  end module coddity
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/kind/foo.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/kind/foo.f90
new file mode 100644
index 0000000000000000000000000000000000000000..d3d15cfb20a15004ed86e45dc91792d1c089033a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/kind/foo.f90
@@ -0,0 +1,20 @@
+
+
+subroutine selectedrealkind(p, r, res)
+  implicit none
+  
+  integer, intent(in) :: p, r
+  !f2py integer :: r=0
+  integer, intent(out) :: res
+  res = selected_real_kind(p, r)
+
+end subroutine
+
+subroutine selectedintkind(p, res)
+  implicit none
+
+  integer, intent(in) :: p
+  integer, intent(out) :: res
+  res = selected_int_kind(p)
+
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo.f
new file mode 100644
index 0000000000000000000000000000000000000000..c34742578f8551729fdc3474d86e92c87e2868d2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo.f
@@ -0,0 +1,5 @@
+      subroutine bar11(a)
+cf2py intent(out) a
+      integer a
+      a = 11
+      end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo_fixed.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo_fixed.f90
new file mode 100644
index 0000000000000000000000000000000000000000..7543a6acb7375872388cb9f2ced109db5faa17b0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo_fixed.f90
@@ -0,0 +1,8 @@
+      module foo_fixed
+      contains
+        subroutine bar12(a)
+!f2py intent(out) a
+          integer a
+          a = 12
+        end subroutine bar12
+      end module foo_fixed
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo_free.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo_free.f90
new file mode 100644
index 0000000000000000000000000000000000000000..c1b641f13ec2943b9dd23ba85beecda738b51825
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/mixed/foo_free.f90
@@ -0,0 +1,8 @@
+module foo_free
+contains
+  subroutine bar13(a)
+    !f2py intent(out) a
+    integer a
+    a = 13
+  end subroutine bar13
+end module foo_free
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh25337/data.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh25337/data.f90
new file mode 100644
index 0000000000000000000000000000000000000000..483d13ceb95c08bf38b74d8218932fc109792b09
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh25337/data.f90
@@ -0,0 +1,8 @@
+module data
+   real(8) :: shift
+contains
+   subroutine set_shift(in_shift)
+      real(8), intent(in) :: in_shift
+      shift = in_shift
+   end subroutine set_shift
+end module data
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh25337/use_data.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh25337/use_data.f90
new file mode 100644
index 0000000000000000000000000000000000000000..b3fae8b875d03d75199f4cf06d544edb4aab1a89
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh25337/use_data.f90
@@ -0,0 +1,6 @@
+subroutine shift_a(dim_a, a)
+    use data, only: shift
+    integer, intent(in) :: dim_a
+    real(8), intent(inout), dimension(dim_a) :: a
+    a = a + shift
+end subroutine shift_a
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh26920/two_mods_with_no_public_entities.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh26920/two_mods_with_no_public_entities.f90
new file mode 100644
index 0000000000000000000000000000000000000000..07adce591f35756ca2fe2f3e2dd38fcaf01d2fad
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh26920/two_mods_with_no_public_entities.f90
@@ -0,0 +1,21 @@
+    module mod2
+        implicit none
+        private mod2_func1
+    contains
+
+        subroutine mod2_func1()
+            print*, "mod2_func1"
+        end subroutine mod2_func1
+
+    end module mod2
+
+    module mod1
+        implicit none
+        private :: mod1_func1
+    contains
+
+        subroutine mod1_func1()
+            print*, "mod1_func1"
+        end subroutine mod1_func1
+
+    end module mod1
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh26920/two_mods_with_one_public_routine.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh26920/two_mods_with_one_public_routine.f90
new file mode 100644
index 0000000000000000000000000000000000000000..b7fb95b010a6657df3abeed4c71466b82dcfdab3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/gh26920/two_mods_with_one_public_routine.f90
@@ -0,0 +1,21 @@
+    module mod2
+        implicit none
+        PUBLIC :: mod2_func1
+    contains
+
+        subroutine mod2_func1()
+            print*, "mod2_func1"
+        end subroutine mod2_func1
+
+    end module mod2
+
+    module mod1
+        implicit none
+        PUBLIC :: mod1_func1
+    contains
+
+        subroutine mod1_func1()
+            print*, "mod1_func1"
+        end subroutine mod1_func1
+
+    end module mod1
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/module_data_docstring.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/module_data_docstring.f90
new file mode 100644
index 0000000000000000000000000000000000000000..4505e0cbc31e50a75df94b30cd53cf923659379d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/module_data_docstring.f90
@@ -0,0 +1,12 @@
+module mod
+  integer :: i
+  integer :: x(4)
+  real, dimension(2,3) :: a
+  real, allocatable, dimension(:,:) :: b
+contains
+  subroutine foo
+    integer :: k
+    k = 1
+    a(1,2) = a(1,2)+3
+  end subroutine foo
+end module mod
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/use_modules.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/use_modules.f90
new file mode 100644
index 0000000000000000000000000000000000000000..aa40c86ca39d1dbcfacca9dcb2addbc6ede73140
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/modules/use_modules.f90
@@ -0,0 +1,20 @@
+module mathops
+  implicit none
+contains
+  function add(a, b) result(c)
+    integer, intent(in) :: a, b
+    integer :: c
+    c = a + b
+  end function add
+end module mathops
+
+module useops
+  use mathops, only: add
+  implicit none
+contains
+  function sum_and_double(a, b) result(d)
+    integer, intent(in) :: a, b
+    integer :: d
+    d = 2 * add(a, b)
+  end function sum_and_double
+end module useops
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/negative_bounds/issue_20853.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/negative_bounds/issue_20853.f90
new file mode 100644
index 0000000000000000000000000000000000000000..bf1fa92853316cc31f825c024855088f42577a1c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/negative_bounds/issue_20853.f90
@@ -0,0 +1,7 @@
+subroutine foo(is_, ie_, arr, tout)
+ implicit none
+ integer :: is_,ie_
+ real, intent(in) :: arr(is_:ie_)
+ real, intent(out) :: tout(is_:ie_)
+ tout = arr
+end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_array.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_array.f90
new file mode 100644
index 0000000000000000000000000000000000000000..9a6bf81610d41cf5f480d6e3c25fd7ab4cf5bfff
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_array.f90
@@ -0,0 +1,45 @@
+! Check that parameter arrays are correctly intercepted.
+subroutine foo_array(x, y, z)
+  implicit none
+  integer, parameter :: dp = selected_real_kind(15)
+  integer, parameter :: pa = 2
+  integer, parameter :: intparamarray(2) = (/ 3, 5 /)
+  integer, dimension(pa), parameter :: pb = (/ 2, 10 /)
+  integer, parameter, dimension(intparamarray(1)) :: pc = (/ 2, 10, 20 /)
+  real(dp), parameter :: doubleparamarray(3) = (/ 3.14_dp, 4._dp, 6.44_dp /)
+  real(dp), intent(inout) :: x(intparamarray(1))
+  real(dp), intent(inout) :: y(intparamarray(2))
+  real(dp), intent(out) :: z
+
+  x = x/pb(2)
+  y = y*pc(2)
+  z = doubleparamarray(1)*doubleparamarray(2) + doubleparamarray(3)
+
+  return
+end subroutine
+
+subroutine foo_array_any_index(x, y)
+  implicit none
+  integer, parameter :: dp = selected_real_kind(15)
+  integer, parameter, dimension(-1:1) :: myparamarray = (/ 6, 3, 1 /)
+  integer, parameter, dimension(2) :: nested = (/ 2, 0 /)
+  integer, parameter :: dim = 2
+  real(dp), intent(in) :: x(myparamarray(-1))
+  real(dp), intent(out) :: y(nested(1), myparamarray(nested(dim)))
+
+  y = reshape(x, (/nested(1), myparamarray(nested(2))/))
+
+  return
+end subroutine
+
+subroutine foo_array_delims(x)
+  implicit none
+  integer, parameter :: dp = selected_real_kind(15)
+  integer, parameter, dimension(2) :: myparamarray = (/ (6), 1 /)
+  integer, parameter, dimension(3) :: test = (/2, 1, (3)/)
+  real(dp), intent(out) :: x
+
+  x = myparamarray(1)+test(3)
+
+  return
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_both.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_both.f90
new file mode 100644
index 0000000000000000000000000000000000000000..ac90cedc525a6172a9b72f3bc76f57b79d641b6c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_both.f90
@@ -0,0 +1,57 @@
+! Check that parameters are correct intercepted.
+! Constants with comma separations are commonly
+! used, for instance Pi = 3._dp
+subroutine foo(x)
+  implicit none
+  integer, parameter :: sp = selected_real_kind(6)
+  integer, parameter :: dp = selected_real_kind(15)
+  integer, parameter :: ii = selected_int_kind(9)
+  integer, parameter :: il = selected_int_kind(18)
+  real(dp), intent(inout) :: x
+  dimension x(3)
+  real(sp), parameter :: three_s = 3._sp
+  real(dp), parameter :: three_d = 3._dp
+  integer(ii), parameter :: three_i = 3_ii
+  integer(il), parameter :: three_l = 3_il
+  x(1) = x(1) + x(2) * three_s * three_i + x(3) * three_d * three_l
+  x(2) = x(2) * three_s
+  x(3) = x(3) * three_l
+  return
+end subroutine
+
+
+subroutine foo_no(x)
+  implicit none
+  integer, parameter :: sp = selected_real_kind(6)
+  integer, parameter :: dp = selected_real_kind(15)
+  integer, parameter :: ii = selected_int_kind(9)
+  integer, parameter :: il = selected_int_kind(18)
+  real(dp), intent(inout) :: x
+  dimension x(3)
+  real(sp), parameter :: three_s = 3.
+  real(dp), parameter :: three_d = 3.
+  integer(ii), parameter :: three_i = 3
+  integer(il), parameter :: three_l = 3
+  x(1) = x(1) + x(2) * three_s * three_i + x(3) * three_d * three_l
+  x(2) = x(2) * three_s
+  x(3) = x(3) * three_l
+  return
+end subroutine
+
+subroutine foo_sum(x)
+  implicit none
+  integer, parameter :: sp = selected_real_kind(6)
+  integer, parameter :: dp = selected_real_kind(15)
+  integer, parameter :: ii = selected_int_kind(9)
+  integer, parameter :: il = selected_int_kind(18)
+  real(dp), intent(inout) :: x
+  dimension x(3)
+  real(sp), parameter :: three_s = 2._sp + 1._sp
+  real(dp), parameter :: three_d = 1._dp + 2._dp
+  integer(ii), parameter :: three_i = 2_ii + 1_ii
+  integer(il), parameter :: three_l = 1_il + 2_il
+  x(1) = x(1) + x(2) * three_s * three_i + x(3) * three_d * three_l
+  x(2) = x(2) * three_s
+  x(3) = x(3) * three_l
+  return
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_compound.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_compound.f90
new file mode 100644
index 0000000000000000000000000000000000000000..e51f5e9b2fb166a6b7d9cba57af03617024b7f2a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_compound.f90
@@ -0,0 +1,15 @@
+! Check that parameters are correct intercepted.
+! Constants with comma separations are commonly
+! used, for instance Pi = 3._dp
+subroutine foo_compound_int(x)
+  implicit none
+  integer, parameter :: ii = selected_int_kind(9)
+  integer(ii), intent(inout) :: x
+  dimension x(3)
+  integer(ii), parameter :: three = 3_ii
+  integer(ii), parameter :: two = 2_ii
+  integer(ii), parameter :: six = three * 1_ii * two
+
+  x(1) = x(1) + x(2) + x(3) * six
+  return
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_integer.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_integer.f90
new file mode 100644
index 0000000000000000000000000000000000000000..aaa83d2eb241274231130b6243ca2c970b5664e0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_integer.f90
@@ -0,0 +1,22 @@
+! Check that parameters are correct intercepted.
+! Constants with comma separations are commonly
+! used, for instance Pi = 3._dp
+subroutine foo_int(x)
+  implicit none
+  integer, parameter :: ii = selected_int_kind(9)
+  integer(ii), intent(inout) :: x
+  dimension x(3)
+  integer(ii), parameter :: three = 3_ii
+  x(1) = x(1) + x(2) + x(3) * three
+  return
+end subroutine
+
+subroutine foo_long(x)
+  implicit none
+  integer, parameter :: ii = selected_int_kind(18)
+  integer(ii), intent(inout) :: x
+  dimension x(3)
+  integer(ii), parameter :: three = 3_ii
+  x(1) = x(1) + x(2) + x(3) * three
+  return
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_non_compound.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_non_compound.f90
new file mode 100644
index 0000000000000000000000000000000000000000..62c9a5b943cb768c9270a04d1dbf36d526a4e6e8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_non_compound.f90
@@ -0,0 +1,23 @@
+! Check that parameters are correct intercepted.
+! Specifically that types of constants without 
+! compound kind specs are correctly inferred
+! adapted Gibbs iteration code from pymc 
+! for this test case 
+subroutine foo_non_compound_int(x)
+  implicit none
+  integer, parameter :: ii = selected_int_kind(9)
+
+  integer(ii)   maxiterates
+  parameter (maxiterates=2)
+
+  integer(ii)   maxseries
+  parameter (maxseries=2)
+
+  integer(ii)   wasize
+  parameter (wasize=maxiterates*maxseries)
+  integer(ii), intent(inout) :: x
+  dimension x(wasize)
+
+  x(1) = x(1) + x(2) + x(3) + x(4) * wasize
+  return
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_real.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_real.f90
new file mode 100644
index 0000000000000000000000000000000000000000..02ac9dd993b39dbb69a233ed1f0d031f15f84639
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/parameter/constant_real.f90
@@ -0,0 +1,23 @@
+! Check that parameters are correct intercepted.
+! Constants with comma separations are commonly
+! used, for instance Pi = 3._dp
+subroutine foo_single(x)
+  implicit none
+  integer, parameter :: rp = selected_real_kind(6)
+  real(rp), intent(inout) :: x
+  dimension x(3)
+  real(rp), parameter :: three = 3._rp
+  x(1) = x(1) + x(2) + x(3) * three
+  return
+end subroutine
+
+subroutine foo_double(x)
+  implicit none
+  integer, parameter :: rp = selected_real_kind(15)
+  real(rp), intent(inout) :: x
+  dimension x(3)
+  real(rp), parameter :: three = 3._rp
+  x(1) = x(1) + x(2) + x(3) * three
+  return
+end subroutine
+
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/quoted_character/foo.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/quoted_character/foo.f
new file mode 100644
index 0000000000000000000000000000000000000000..9dc1cfa4446d8c05c0fc0bb1c69360a687d003c3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/quoted_character/foo.f
@@ -0,0 +1,14 @@
+      SUBROUTINE FOO(OUT1, OUT2, OUT3, OUT4, OUT5, OUT6)
+      CHARACTER SINGLE, DOUBLE, SEMICOL, EXCLA, OPENPAR, CLOSEPAR
+      PARAMETER (SINGLE="'", DOUBLE='"', SEMICOL=';', EXCLA="!",
+     1           OPENPAR="(", CLOSEPAR=")")
+      CHARACTER OUT1, OUT2, OUT3, OUT4, OUT5, OUT6
+Cf2py intent(out) OUT1, OUT2, OUT3, OUT4, OUT5, OUT6
+      OUT1 = SINGLE
+      OUT2 = DOUBLE
+      OUT3 = SEMICOL
+      OUT4 = EXCLA
+      OUT5 = OPENPAR
+      OUT6 = CLOSEPAR
+      RETURN
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/AB.inc b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/AB.inc
new file mode 100644
index 0000000000000000000000000000000000000000..8a02f631f43a15f17f65280d651aa46e9cdb7510
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/AB.inc
@@ -0,0 +1 @@
+real(8) b, n, m
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/assignOnlyModule.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/assignOnlyModule.f90
new file mode 100644
index 0000000000000000000000000000000000000000..479ac7980c226ac19a8d97dd2e43f8833d95e66e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/assignOnlyModule.f90
@@ -0,0 +1,25 @@
+      MODULE MOD_TYPES
+        INTEGER, PARAMETER :: SP = SELECTED_REAL_KIND(6, 37)
+        INTEGER, PARAMETER :: DP = SELECTED_REAL_KIND(15, 307)
+      END MODULE
+!
+      MODULE F_GLOBALS
+         USE MOD_TYPES
+         IMPLICIT NONE
+         INTEGER, PARAMETER :: N_MAX = 16
+         INTEGER, PARAMETER :: I_MAX = 18
+         INTEGER, PARAMETER :: J_MAX = 72
+         REAL(SP) :: XREF
+      END MODULE F_GLOBALS
+!
+       SUBROUTINE DUMMY ()
+!
+       USE F_GLOBALS
+       USE MOD_TYPES
+       IMPLICIT NONE
+!
+       REAL(SP) :: MINIMAL
+       MINIMAL = 0.01*XREF
+       RETURN
+!
+       END SUBROUTINE DUMMY
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/datonly.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/datonly.f90
new file mode 100644
index 0000000000000000000000000000000000000000..67fc4aca82e3fd4aa9ebb4f725d1b13761dbade9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/datonly.f90
@@ -0,0 +1,17 @@
+module datonly
+  implicit none
+  integer, parameter :: max_value = 100
+  real, dimension(:), allocatable :: data_array
+end module datonly
+
+module dat
+  implicit none
+  integer, parameter :: max_= 1009
+end module dat
+
+subroutine simple_subroutine(ain, aout)
+  use dat, only: max_
+  integer, intent(in) :: ain
+  integer, intent(out) :: aout
+  aout = ain + max_
+end subroutine simple_subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f77comments.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f77comments.f
new file mode 100644
index 0000000000000000000000000000000000000000..452a01a14439b1e7a9a731a31d7f720992826698
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f77comments.f
@@ -0,0 +1,26 @@
+      SUBROUTINE TESTSUB(
+     &    INPUT1, INPUT2,                                 !Input
+     &    OUTPUT1, OUTPUT2)                               !Output
+
+      IMPLICIT NONE
+      INTEGER, INTENT(IN) :: INPUT1, INPUT2
+      INTEGER, INTENT(OUT) :: OUTPUT1, OUTPUT2
+
+      OUTPUT1 = INPUT1 + INPUT2
+      OUTPUT2 = INPUT1 * INPUT2
+
+      RETURN
+      END SUBROUTINE TESTSUB
+
+      SUBROUTINE TESTSUB2(OUTPUT)
+      IMPLICIT NONE
+      INTEGER, PARAMETER :: N = 10 ! Array dimension
+      REAL, INTENT(OUT) :: OUTPUT(N)
+      INTEGER :: I
+
+      DO I = 1, N
+         OUTPUT(I) = I * 2.0
+      END DO
+
+      RETURN
+      END
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f77fixedform.f95 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f77fixedform.f95
new file mode 100644
index 0000000000000000000000000000000000000000..e47a13f7e851969f30aa38344377c5ec90708839
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f77fixedform.f95
@@ -0,0 +1,5 @@
+C This is an invalid file, but it does compile with -ffixed-form
+      subroutine mwe(
+     & x)
+          real x
+      end subroutine mwe
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f90continuation.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f90continuation.f90
new file mode 100644
index 0000000000000000000000000000000000000000..879e716bbec69e94a28745ecc0d8f9c7a8ea02eb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/f90continuation.f90
@@ -0,0 +1,9 @@
+SUBROUTINE TESTSUB(INPUT1, & ! Hello
+! commenty
+INPUT2, OUTPUT1, OUTPUT2) ! more comments
+    INTEGER, INTENT(IN) :: INPUT1, INPUT2
+    INTEGER, INTENT(OUT) :: OUTPUT1, OUTPUT2
+    OUTPUT1 = INPUT1 + &
+              INPUT2
+    OUTPUT2 = INPUT1 * INPUT2
+END SUBROUTINE TESTSUB
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/incfile.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/incfile.f90
new file mode 100644
index 0000000000000000000000000000000000000000..276ef3a67352b29d37985529ad550b45f68456f0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/incfile.f90
@@ -0,0 +1,5 @@
+function add(n,m) result(b)
+  implicit none
+  include 'AB.inc'
+  b = n + m
+end function add
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/inout.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/inout.f90
new file mode 100644
index 0000000000000000000000000000000000000000..80cdad90cec56de2226979fa0c9b0f9dfa39c7c9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/inout.f90
@@ -0,0 +1,9 @@
+! Check that intent(in out) translates as intent(inout).
+! The separation seems to be a common usage.
+      subroutine foo(x)
+          implicit none
+          real(4), intent(in out) :: x
+          dimension x(3)
+          x(1) = x(1) + x(2) + x(3)
+          return
+      end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/lower_f2py_fortran.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/lower_f2py_fortran.f90
new file mode 100644
index 0000000000000000000000000000000000000000..1c4b8c192b1b2783a4f5c2275731106c2a6109f2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/regression/lower_f2py_fortran.f90
@@ -0,0 +1,5 @@
+subroutine inquire_next(IU)
+   IMPLICIT NONE
+   integer :: IU
+   !f2py intent(in) IU
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_character/foo77.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_character/foo77.f
new file mode 100644
index 0000000000000000000000000000000000000000..facae1016a39010cca10929837d0a95c44376e21
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_character/foo77.f
@@ -0,0 +1,45 @@
+       function t0(value)
+         character value
+         character t0
+         t0 = value
+       end
+       function t1(value)
+         character*1 value
+         character*1 t1
+         t1 = value
+       end
+       function t5(value)
+         character*5 value
+         character*5 t5
+         t5 = value
+       end
+       function ts(value)
+         character*(*) value
+         character*(*) ts
+         ts = value
+       end
+
+       subroutine s0(t0,value)
+         character value
+         character t0
+cf2py    intent(out) t0
+         t0 = value
+       end
+       subroutine s1(t1,value)
+         character*1 value
+         character*1 t1
+cf2py    intent(out) t1
+         t1 = value
+       end
+       subroutine s5(t5,value)
+         character*5 value
+         character*5 t5
+cf2py    intent(out) t5
+         t5 = value
+       end
+       subroutine ss(ts,value)
+         character*(*) value
+         character*10 ts
+cf2py    intent(out) ts
+         ts = value
+       end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_character/foo90.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_character/foo90.f90
new file mode 100644
index 0000000000000000000000000000000000000000..36182bcf2dd71649130f5afe7ef665ac80d64af9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_character/foo90.f90
@@ -0,0 +1,48 @@
+module f90_return_char
+  contains
+       function t0(value)
+         character :: value
+         character :: t0
+         t0 = value
+       end function t0
+       function t1(value)
+         character(len=1) :: value
+         character(len=1) :: t1
+         t1 = value
+       end function t1
+       function t5(value)
+         character(len=5) :: value
+         character(len=5) :: t5
+         t5 = value
+       end function t5
+       function ts(value)
+         character(len=*) :: value
+         character(len=10) :: ts
+         ts = value
+       end function ts
+
+       subroutine s0(t0,value)
+         character :: value
+         character :: t0
+!f2py    intent(out) t0
+         t0 = value
+       end subroutine s0
+       subroutine s1(t1,value)
+         character(len=1) :: value
+         character(len=1) :: t1
+!f2py    intent(out) t1
+         t1 = value
+       end subroutine s1
+       subroutine s5(t5,value)
+         character(len=5) :: value
+         character(len=5) :: t5
+!f2py    intent(out) t5
+         t5 = value
+       end subroutine s5
+       subroutine ss(ts,value)
+         character(len=*) :: value
+         character(len=10) :: ts
+!f2py    intent(out) ts
+         ts = value
+       end subroutine ss
+end module f90_return_char
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_complex/foo77.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_complex/foo77.f
new file mode 100644
index 0000000000000000000000000000000000000000..37a1ec845ecacc7fbc228f1ee5f628ec73075c12
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_complex/foo77.f
@@ -0,0 +1,45 @@
+       function t0(value)
+         complex value
+         complex t0
+         t0 = value
+       end
+       function t8(value)
+         complex*8 value
+         complex*8 t8
+         t8 = value
+       end
+       function t16(value)
+         complex*16 value
+         complex*16 t16
+         t16 = value
+       end
+       function td(value)
+         double complex value
+         double complex td
+         td = value
+       end
+
+       subroutine s0(t0,value)
+         complex value
+         complex t0
+cf2py    intent(out) t0
+         t0 = value
+       end
+       subroutine s8(t8,value)
+         complex*8 value
+         complex*8 t8
+cf2py    intent(out) t8
+         t8 = value
+       end
+       subroutine s16(t16,value)
+         complex*16 value
+         complex*16 t16
+cf2py    intent(out) t16
+         t16 = value
+       end
+       subroutine sd(td,value)
+         double complex value
+         double complex td
+cf2py    intent(out) td
+         td = value
+       end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_complex/foo90.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_complex/foo90.f90
new file mode 100644
index 0000000000000000000000000000000000000000..adc27b470538bc663416fb512a29c4b2bbe8d3dd
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_complex/foo90.f90
@@ -0,0 +1,48 @@
+module f90_return_complex
+  contains
+       function t0(value)
+         complex :: value
+         complex :: t0
+         t0 = value
+       end function t0
+       function t8(value)
+         complex(kind=4) :: value
+         complex(kind=4) :: t8
+         t8 = value
+       end function t8
+       function t16(value)
+         complex(kind=8) :: value
+         complex(kind=8) :: t16
+         t16 = value
+       end function t16
+       function td(value)
+         double complex :: value
+         double complex :: td
+         td = value
+       end function td
+
+       subroutine s0(t0,value)
+         complex :: value
+         complex :: t0
+!f2py    intent(out) t0
+         t0 = value
+       end subroutine s0
+       subroutine s8(t8,value)
+         complex(kind=4) :: value
+         complex(kind=4) :: t8
+!f2py    intent(out) t8
+         t8 = value
+       end subroutine s8
+       subroutine s16(t16,value)
+         complex(kind=8) :: value
+         complex(kind=8) :: t16
+!f2py    intent(out) t16
+         t16 = value
+       end subroutine s16
+       subroutine sd(td,value)
+         double complex :: value
+         double complex :: td
+!f2py    intent(out) td
+         td = value
+       end subroutine sd
+end module f90_return_complex
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_integer/foo77.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_integer/foo77.f
new file mode 100644
index 0000000000000000000000000000000000000000..1ab895b9ac340ca91c5d3a4080334bab9f033a55
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_integer/foo77.f
@@ -0,0 +1,56 @@
+       function t0(value)
+         integer value
+         integer t0
+         t0 = value
+       end
+       function t1(value)
+         integer*1 value
+         integer*1 t1
+         t1 = value
+       end
+       function t2(value)
+         integer*2 value
+         integer*2 t2
+         t2 = value
+       end
+       function t4(value)
+         integer*4 value
+         integer*4 t4
+         t4 = value
+       end
+       function t8(value)
+         integer*8 value
+         integer*8 t8
+         t8 = value
+       end
+
+       subroutine s0(t0,value)
+         integer value
+         integer t0
+cf2py    intent(out) t0
+         t0 = value
+       end
+       subroutine s1(t1,value)
+         integer*1 value
+         integer*1 t1
+cf2py    intent(out) t1
+         t1 = value
+       end
+       subroutine s2(t2,value)
+         integer*2 value
+         integer*2 t2
+cf2py    intent(out) t2
+         t2 = value
+       end
+       subroutine s4(t4,value)
+         integer*4 value
+         integer*4 t4
+cf2py    intent(out) t4
+         t4 = value
+       end
+       subroutine s8(t8,value)
+         integer*8 value
+         integer*8 t8
+cf2py    intent(out) t8
+         t8 = value
+       end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_integer/foo90.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_integer/foo90.f90
new file mode 100644
index 0000000000000000000000000000000000000000..ba9249aa20f941dbf00f060ad5d7e8820745b0f4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_integer/foo90.f90
@@ -0,0 +1,59 @@
+module f90_return_integer
+  contains
+       function t0(value)
+         integer :: value
+         integer :: t0
+         t0 = value
+       end function t0
+       function t1(value)
+         integer(kind=1) :: value
+         integer(kind=1) :: t1
+         t1 = value
+       end function t1
+       function t2(value)
+         integer(kind=2) :: value
+         integer(kind=2) :: t2
+         t2 = value
+       end function t2
+       function t4(value)
+         integer(kind=4) :: value
+         integer(kind=4) :: t4
+         t4 = value
+       end function t4
+       function t8(value)
+         integer(kind=8) :: value
+         integer(kind=8) :: t8
+         t8 = value
+       end function t8
+
+       subroutine s0(t0,value)
+         integer :: value
+         integer :: t0
+!f2py    intent(out) t0
+         t0 = value
+       end subroutine s0
+       subroutine s1(t1,value)
+         integer(kind=1) :: value
+         integer(kind=1) :: t1
+!f2py    intent(out) t1
+         t1 = value
+       end subroutine s1
+       subroutine s2(t2,value)
+         integer(kind=2) :: value
+         integer(kind=2) :: t2
+!f2py    intent(out) t2
+         t2 = value
+       end subroutine s2
+       subroutine s4(t4,value)
+         integer(kind=4) :: value
+         integer(kind=4) :: t4
+!f2py    intent(out) t4
+         t4 = value
+       end subroutine s4
+       subroutine s8(t8,value)
+         integer(kind=8) :: value
+         integer(kind=8) :: t8
+!f2py    intent(out) t8
+         t8 = value
+       end subroutine s8
+end module f90_return_integer
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_logical/foo77.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_logical/foo77.f
new file mode 100644
index 0000000000000000000000000000000000000000..ef530145fedf8b5cf3a05bdf0a46a4e22150007b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_logical/foo77.f
@@ -0,0 +1,56 @@
+       function t0(value)
+         logical value
+         logical t0
+         t0 = value
+       end
+       function t1(value)
+         logical*1 value
+         logical*1 t1
+         t1 = value
+       end
+       function t2(value)
+         logical*2 value
+         logical*2 t2
+         t2 = value
+       end
+       function t4(value)
+         logical*4 value
+         logical*4 t4
+         t4 = value
+       end
+c       function t8(value)
+c         logical*8 value
+c         logical*8 t8
+c         t8 = value
+c       end
+
+       subroutine s0(t0,value)
+         logical value
+         logical t0
+cf2py    intent(out) t0
+         t0 = value
+       end
+       subroutine s1(t1,value)
+         logical*1 value
+         logical*1 t1
+cf2py    intent(out) t1
+         t1 = value
+       end
+       subroutine s2(t2,value)
+         logical*2 value
+         logical*2 t2
+cf2py    intent(out) t2
+         t2 = value
+       end
+       subroutine s4(t4,value)
+         logical*4 value
+         logical*4 t4
+cf2py    intent(out) t4
+         t4 = value
+       end
+c       subroutine s8(t8,value)
+c         logical*8 value
+c         logical*8 t8
+cf2py    intent(out) t8
+c         t8 = value
+c       end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_logical/foo90.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_logical/foo90.f90
new file mode 100644
index 0000000000000000000000000000000000000000..a4526468e3719140f0ed7d50a5f3a31d78d1d2de
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_logical/foo90.f90
@@ -0,0 +1,59 @@
+module f90_return_logical
+  contains
+       function t0(value)
+         logical :: value
+         logical :: t0
+         t0 = value
+       end function t0
+       function t1(value)
+         logical(kind=1) :: value
+         logical(kind=1) :: t1
+         t1 = value
+       end function t1
+       function t2(value)
+         logical(kind=2) :: value
+         logical(kind=2) :: t2
+         t2 = value
+       end function t2
+       function t4(value)
+         logical(kind=4) :: value
+         logical(kind=4) :: t4
+         t4 = value
+       end function t4
+       function t8(value)
+         logical(kind=8) :: value
+         logical(kind=8) :: t8
+         t8 = value
+       end function t8
+
+       subroutine s0(t0,value)
+         logical :: value
+         logical :: t0
+!f2py    intent(out) t0
+         t0 = value
+       end subroutine s0
+       subroutine s1(t1,value)
+         logical(kind=1) :: value
+         logical(kind=1) :: t1
+!f2py    intent(out) t1
+         t1 = value
+       end subroutine s1
+       subroutine s2(t2,value)
+         logical(kind=2) :: value
+         logical(kind=2) :: t2
+!f2py    intent(out) t2
+         t2 = value
+       end subroutine s2
+       subroutine s4(t4,value)
+         logical(kind=4) :: value
+         logical(kind=4) :: t4
+!f2py    intent(out) t4
+         t4 = value
+       end subroutine s4
+       subroutine s8(t8,value)
+         logical(kind=8) :: value
+         logical(kind=8) :: t8
+!f2py    intent(out) t8
+         t8 = value
+       end subroutine s8
+end module f90_return_logical
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_real/foo77.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_real/foo77.f
new file mode 100644
index 0000000000000000000000000000000000000000..bf43dbf11773d8282f3b9a7d7c4ba9da23ee6f27
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_real/foo77.f
@@ -0,0 +1,45 @@
+       function t0(value)
+         real value
+         real t0
+         t0 = value
+       end
+       function t4(value)
+         real*4 value
+         real*4 t4
+         t4 = value
+       end
+       function t8(value)
+         real*8 value
+         real*8 t8
+         t8 = value
+       end
+       function td(value)
+         double precision value
+         double precision td
+         td = value
+       end
+
+       subroutine s0(t0,value)
+         real value
+         real t0
+cf2py    intent(out) t0
+         t0 = value
+       end
+       subroutine s4(t4,value)
+         real*4 value
+         real*4 t4
+cf2py    intent(out) t4
+         t4 = value
+       end
+       subroutine s8(t8,value)
+         real*8 value
+         real*8 t8
+cf2py    intent(out) t8
+         t8 = value
+       end
+       subroutine sd(td,value)
+         double precision value
+         double precision td
+cf2py    intent(out) td
+         td = value
+       end
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_real/foo90.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_real/foo90.f90
new file mode 100644
index 0000000000000000000000000000000000000000..df9719980f2861678d5c1e4b0529a9eb0e375021
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/return_real/foo90.f90
@@ -0,0 +1,48 @@
+module f90_return_real
+  contains
+       function t0(value)
+         real :: value
+         real :: t0
+         t0 = value
+       end function t0
+       function t4(value)
+         real(kind=4) :: value
+         real(kind=4) :: t4
+         t4 = value
+       end function t4
+       function t8(value)
+         real(kind=8) :: value
+         real(kind=8) :: t8
+         t8 = value
+       end function t8
+       function td(value)
+         double precision :: value
+         double precision :: td
+         td = value
+       end function td
+
+       subroutine s0(t0,value)
+         real :: value
+         real :: t0
+!f2py    intent(out) t0
+         t0 = value
+       end subroutine s0
+       subroutine s4(t4,value)
+         real(kind=4) :: value
+         real(kind=4) :: t4
+!f2py    intent(out) t4
+         t4 = value
+       end subroutine s4
+       subroutine s8(t8,value)
+         real(kind=8) :: value
+         real(kind=8) :: t8
+!f2py    intent(out) t8
+         t8 = value
+       end subroutine s8
+       subroutine sd(td,value)
+         double precision :: value
+         double precision :: td
+!f2py    intent(out) td
+         td = value
+       end subroutine sd
+end module f90_return_real
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/funcfortranname.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/funcfortranname.f
new file mode 100644
index 0000000000000000000000000000000000000000..89be972d341966170c9f1a36af1f098e62dd4174
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/funcfortranname.f
@@ -0,0 +1,5 @@
+      REAL*8 FUNCTION FUNCFORTRANNAME(A,B)
+      REAL*8 A, B
+      FUNCFORTRANNAME = A + B
+      RETURN
+      END FUNCTION
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/funcfortranname.pyf b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/funcfortranname.pyf
new file mode 100644
index 0000000000000000000000000000000000000000..8730ca6a67edd4dea8df456369e5f8ef4cb5f831
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/funcfortranname.pyf
@@ -0,0 +1,11 @@
+python module funcfortranname ! in
+    interface  ! in :funcfortranname
+        function funcfortranname_default(a,b) ! in :funcfortranname:funcfortranname.f
+            fortranname funcfortranname
+            real*8 :: a
+            real*8 :: b
+            real*8 :: funcfortranname_default
+            real*8, intent(out) :: funcfortranname
+        end function funcfortranname_default
+    end interface
+end python module funcfortranname
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/subrout.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/subrout.f
new file mode 100644
index 0000000000000000000000000000000000000000..1d1eeaeb5a4588141e15c19b3b8e70fef6425f1a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/subrout.f
@@ -0,0 +1,4 @@
+      SUBROUTINE SUBROUT(A,B,C)
+      REAL*8 A, B, C
+      C = A + B
+      END SUBROUTINE
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/subrout.pyf b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/subrout.pyf
new file mode 100644
index 0000000000000000000000000000000000000000..e27cbe1c7455d47ea312966c997bbcf5f690be74
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/routines/subrout.pyf
@@ -0,0 +1,10 @@
+python module subrout ! in
+    interface  ! in :subrout
+        subroutine subrout_default(a,b,c) ! in :subrout:subrout.f
+            fortranname subrout
+            real*8 :: a
+            real*8 :: b
+            real*8, intent(out) :: c
+        end subroutine subrout_default
+    end interface
+end python module subrout
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/size/foo.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/size/foo.f90
new file mode 100644
index 0000000000000000000000000000000000000000..5b66f8c430d79a8438ad062466a97cf8c00dfb16
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/size/foo.f90
@@ -0,0 +1,44 @@
+
+subroutine foo(a, n, m, b)
+  implicit none
+
+  real, intent(in) :: a(n, m)
+  integer, intent(in) :: n, m
+  real, intent(out) :: b(size(a, 1))
+
+  integer :: i
+
+  do i = 1, size(b)
+    b(i) = sum(a(i,:))
+  enddo
+end subroutine
+
+subroutine trans(x,y)
+  implicit none
+  real, intent(in), dimension(:,:) :: x
+  real, intent(out), dimension( size(x,2), size(x,1) ) :: y
+  integer :: N, M, i, j
+  N = size(x,1)
+  M = size(x,2)
+  DO i=1,N
+     do j=1,M
+        y(j,i) = x(i,j)
+     END DO
+  END DO
+end subroutine trans
+
+subroutine flatten(x,y)
+  implicit none
+  real, intent(in), dimension(:,:) :: x
+  real, intent(out), dimension( size(x) ) :: y
+  integer :: N, M, i, j, k
+  N = size(x,1)
+  M = size(x,2)
+  k = 1
+  DO i=1,N
+     do j=1,M
+        y(k) = x(i,j)
+        k = k + 1
+     END DO
+  END DO
+end subroutine flatten
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/char.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/char.f90
new file mode 100644
index 0000000000000000000000000000000000000000..bb7985ce50f2aa252aaca96aba6ef5d5f5d51844
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/char.f90
@@ -0,0 +1,29 @@
+MODULE char_test
+
+CONTAINS
+
+SUBROUTINE change_strings(strings, n_strs, out_strings)
+    IMPLICIT NONE
+
+    ! Inputs
+    INTEGER, INTENT(IN) :: n_strs
+    CHARACTER, INTENT(IN), DIMENSION(2,n_strs) :: strings
+    CHARACTER, INTENT(OUT), DIMENSION(2,n_strs) :: out_strings
+
+!f2py INTEGER, INTENT(IN) :: n_strs
+!f2py CHARACTER, INTENT(IN), DIMENSION(2,n_strs) :: strings
+!f2py CHARACTER, INTENT(OUT), DIMENSION(2,n_strs) :: strings
+
+    ! Misc.
+    INTEGER*4 :: j
+
+
+    DO j=1, n_strs
+        out_strings(1,j) = strings(1,j)
+        out_strings(2,j) = 'A'
+    END DO
+
+END SUBROUTINE change_strings
+
+END MODULE char_test
+
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/fixed_string.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/fixed_string.f90
new file mode 100644
index 0000000000000000000000000000000000000000..7fd1585430fb05f84fb850ef4656d94e8a0804e9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/fixed_string.f90
@@ -0,0 +1,34 @@
+function sint(s) result(i)
+   implicit none
+   character(len=*) :: s
+   integer :: j, i
+   i = 0
+   do j=len(s), 1, -1
+    if (.not.((i.eq.0).and.(s(j:j).eq.' '))) then
+      i = i + ichar(s(j:j)) * 10 ** (j - 1)
+    endif
+   end do
+   return
+ end function sint
+
+ function test_in_bytes4(a) result (i)
+   implicit none
+   integer :: sint
+   character(len=4) :: a
+   integer :: i
+   i = sint(a)
+   a(1:1) = 'A'
+   return
+ end function test_in_bytes4
+
+ function test_inout_bytes4(a) result (i)
+   implicit none
+   integer :: sint
+   character(len=4), intent(inout) :: a
+   integer :: i
+   if (a(1:1).ne.' ') then
+     a(1:1) = 'E'
+   endif
+   i = sint(a)
+   return
+ end function test_inout_bytes4
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh24008.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh24008.f
new file mode 100644
index 0000000000000000000000000000000000000000..ab64cf771f68bbcecc8ac2d5d649545fc357e15b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh24008.f
@@ -0,0 +1,8 @@
+      SUBROUTINE GREET(NAME, GREETING)
+      CHARACTER NAME*(*), GREETING*(*)
+      CHARACTER*(50) MESSAGE
+
+      MESSAGE = 'Hello, ' // NAME // ', ' // GREETING
+c$$$      PRINT *, MESSAGE
+
+      END SUBROUTINE GREET
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh24662.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh24662.f90
new file mode 100644
index 0000000000000000000000000000000000000000..ca53413cc9b48f1c8d476d329eb4b773695dd08c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh24662.f90
@@ -0,0 +1,7 @@
+subroutine string_inout_optional(output)
+    implicit none
+    character*(32), optional, intent(inout) :: output
+    if (present(output)) then
+      output="output string"
+    endif
+end subroutine
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286.f90
new file mode 100644
index 0000000000000000000000000000000000000000..db1c7100d2ab812de5d212c1bbd255cf2ae60be3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286.f90
@@ -0,0 +1,14 @@
+subroutine charint(trans, info)
+    character, intent(in) :: trans
+    integer, intent(out) :: info
+    if (trans == 'N') then
+        info = 1
+    else if (trans == 'T') then
+        info = 2
+    else if (trans == 'C') then
+        info = 3
+    else
+        info = -1
+    end if
+
+end subroutine charint
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286.pyf b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286.pyf
new file mode 100644
index 0000000000000000000000000000000000000000..7b9609071bce3e775703b12c430f411af09e6eee
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286.pyf
@@ -0,0 +1,12 @@
+python module _char_handling_test
+    interface
+    subroutine charint(trans, info)
+        callstatement (*f2py_func)(&trans, &info)
+        callprotoargument char*, int*
+
+        character, intent(in), check(trans=='N'||trans=='T'||trans=='C') :: trans = 'N'
+        integer intent(out) :: info
+
+    end subroutine charint
+    end interface
+end python module _char_handling_test
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286_bc.pyf b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286_bc.pyf
new file mode 100644
index 0000000000000000000000000000000000000000..e7b10fa9215e88e56794e9c73d0b13872cbd953c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/gh25286_bc.pyf
@@ -0,0 +1,12 @@
+python module _char_handling_test
+    interface
+    subroutine charint(trans, info)
+        callstatement (*f2py_func)(&trans, &info)
+        callprotoargument char*, int*
+
+        character, intent(in), check(*trans=='N'||*trans=='T'||*trans=='C') :: trans = 'N'
+        integer intent(out) :: info
+
+    end subroutine charint
+    end interface
+end python module _char_handling_test
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/scalar_string.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/scalar_string.f90
new file mode 100644
index 0000000000000000000000000000000000000000..f8f076172ab48ca4834d631b362f47ca374db5e4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/scalar_string.f90
@@ -0,0 +1,9 @@
+MODULE string_test
+
+  character(len=8) :: string
+  character string77 * 8
+
+  character(len=12), dimension(5,7) :: strarr
+  character strarr77(5,7) * 12
+
+END MODULE string_test
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/string.f b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/string.f
new file mode 100644
index 0000000000000000000000000000000000000000..5210ca4dc054de60488e45baa12b6c8bc89fc9eb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/string/string.f
@@ -0,0 +1,12 @@
+C FILE: STRING.F
+      SUBROUTINE FOO(A,B,C,D)
+      CHARACTER*5 A, B
+      CHARACTER*(*) C,D
+Cf2py intent(in) a,c
+Cf2py intent(inout) b,d
+      A(1:1) = 'A'
+      B(1:1) = 'B'
+      C(1:1) = 'C'
+      D(1:1) = 'D'
+      END
+C END OF FILE STRING.F
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/value_attrspec/gh21665.f90 b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/value_attrspec/gh21665.f90
new file mode 100644
index 0000000000000000000000000000000000000000..7d9dc0fd4acbc081f55edfafb5dea981dcf279d5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/src/value_attrspec/gh21665.f90
@@ -0,0 +1,9 @@
+module fortfuncs
+  implicit none
+contains
+  subroutine square(x,y)
+    integer, intent(in), value :: x
+    integer, intent(out) :: y
+    y = x*x
+  end subroutine square
+end module fortfuncs
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_abstract_interface.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_abstract_interface.py
new file mode 100644
index 0000000000000000000000000000000000000000..0bc38b51f95d71dcd4a4b9c723211e1c4398c966
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_abstract_interface.py
@@ -0,0 +1,24 @@
+import pytest
+from . import util
+from numpy.f2py import crackfortran
+from numpy.testing import IS_WASM
+
+
+@pytest.mark.skipif(IS_WASM, reason="Cannot start subprocess")
+@pytest.mark.slow
+class TestAbstractInterface(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "abstract_interface", "foo.f90")]
+
+    skip = ["add1", "add2"]
+
+    def test_abstract_interface(self):
+        assert self.module.ops_module.foo(3, 5) == (8, 13)
+
+    def test_parse_abstract_interface(self):
+        # Test gh18403
+        fpath = util.getpath("tests", "src", "abstract_interface",
+                             "gh18403_mod.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        assert len(mod[0]["body"]) == 1
+        assert mod[0]["body"][0]["block"] == "abstract interface"
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_array_from_pyobj.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_array_from_pyobj.py
new file mode 100644
index 0000000000000000000000000000000000000000..41ed2c7a0dfe7e40fcb99553757c41c0dfde7349
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_array_from_pyobj.py
@@ -0,0 +1,677 @@
+import sys
+import copy
+import platform
+import pytest
+from pathlib import Path
+
+import numpy as np
+
+from numpy._core._type_aliases import c_names_dict as _c_names_dict
+from . import util
+
+wrap = None
+
+# Extend core typeinfo with CHARACTER to test dtype('c')
+c_names_dict = dict(
+    CHARACTER=np.dtype("c"),
+    **_c_names_dict
+)
+
+
+def get_testdir():
+    testroot = Path(__file__).resolve().parent / "src"
+    return  testroot / "array_from_pyobj"
+
+def setup_module():
+    """
+    Build the required testing extension module
+
+    """
+    global wrap
+
+    if wrap is None:
+        src = [
+            get_testdir() / "wrapmodule.c",
+        ]
+        wrap = util.build_meson(src, module_name = "test_array_from_pyobj_ext")
+
+
+def flags_info(arr):
+    flags = wrap.array_attrs(arr)[6]
+    return flags2names(flags)
+
+
+def flags2names(flags):
+    info = []
+    for flagname in [
+            "CONTIGUOUS",
+            "FORTRAN",
+            "OWNDATA",
+            "ENSURECOPY",
+            "ENSUREARRAY",
+            "ALIGNED",
+            "NOTSWAPPED",
+            "WRITEABLE",
+            "WRITEBACKIFCOPY",
+            "UPDATEIFCOPY",
+            "BEHAVED",
+            "BEHAVED_RO",
+            "CARRAY",
+            "FARRAY",
+    ]:
+        if abs(flags) & getattr(wrap, flagname, 0):
+            info.append(flagname)
+    return info
+
+
+class Intent:
+    def __init__(self, intent_list=[]):
+        self.intent_list = intent_list[:]
+        flags = 0
+        for i in intent_list:
+            if i == "optional":
+                flags |= wrap.F2PY_OPTIONAL
+            else:
+                flags |= getattr(wrap, "F2PY_INTENT_" + i.upper())
+        self.flags = flags
+
+    def __getattr__(self, name):
+        name = name.lower()
+        if name == "in_":
+            name = "in"
+        return self.__class__(self.intent_list + [name])
+
+    def __str__(self):
+        return "intent(%s)" % (",".join(self.intent_list))
+
+    def __repr__(self):
+        return "Intent(%r)" % (self.intent_list)
+
+    def is_intent(self, *names):
+        return all(name in self.intent_list for name in names)
+
+    def is_intent_exact(self, *names):
+        return len(self.intent_list) == len(names) and self.is_intent(*names)
+
+
+intent = Intent()
+
+_type_names = [
+    "BOOL",
+    "BYTE",
+    "UBYTE",
+    "SHORT",
+    "USHORT",
+    "INT",
+    "UINT",
+    "LONG",
+    "ULONG",
+    "LONGLONG",
+    "ULONGLONG",
+    "FLOAT",
+    "DOUBLE",
+    "CFLOAT",
+    "STRING1",
+    "STRING5",
+    "CHARACTER",
+]
+
+_cast_dict = {"BOOL": ["BOOL"]}
+_cast_dict["BYTE"] = _cast_dict["BOOL"] + ["BYTE"]
+_cast_dict["UBYTE"] = _cast_dict["BOOL"] + ["UBYTE"]
+_cast_dict["BYTE"] = ["BYTE"]
+_cast_dict["UBYTE"] = ["UBYTE"]
+_cast_dict["SHORT"] = _cast_dict["BYTE"] + ["UBYTE", "SHORT"]
+_cast_dict["USHORT"] = _cast_dict["UBYTE"] + ["BYTE", "USHORT"]
+_cast_dict["INT"] = _cast_dict["SHORT"] + ["USHORT", "INT"]
+_cast_dict["UINT"] = _cast_dict["USHORT"] + ["SHORT", "UINT"]
+
+_cast_dict["LONG"] = _cast_dict["INT"] + ["LONG"]
+_cast_dict["ULONG"] = _cast_dict["UINT"] + ["ULONG"]
+
+_cast_dict["LONGLONG"] = _cast_dict["LONG"] + ["LONGLONG"]
+_cast_dict["ULONGLONG"] = _cast_dict["ULONG"] + ["ULONGLONG"]
+
+_cast_dict["FLOAT"] = _cast_dict["SHORT"] + ["USHORT", "FLOAT"]
+_cast_dict["DOUBLE"] = _cast_dict["INT"] + ["UINT", "FLOAT", "DOUBLE"]
+
+_cast_dict["CFLOAT"] = _cast_dict["FLOAT"] + ["CFLOAT"]
+
+_cast_dict['STRING1'] = ['STRING1']
+_cast_dict['STRING5'] = ['STRING5']
+_cast_dict['CHARACTER'] = ['CHARACTER']
+
+# 32 bit system malloc typically does not provide the alignment required by
+# 16 byte long double types this means the inout intent cannot be satisfied
+# and several tests fail as the alignment flag can be randomly true or false
+# when numpy gains an aligned allocator the tests could be enabled again
+#
+# Furthermore, on macOS ARM64, LONGDOUBLE is an alias for DOUBLE.
+if ((np.intp().dtype.itemsize != 4 or np.clongdouble().dtype.alignment <= 8)
+        and sys.platform != "win32"
+        and (platform.system(), platform.processor()) != ("Darwin", "arm")):
+    _type_names.extend(["LONGDOUBLE", "CDOUBLE", "CLONGDOUBLE"])
+    _cast_dict["LONGDOUBLE"] = _cast_dict["LONG"] + [
+        "ULONG",
+        "FLOAT",
+        "DOUBLE",
+        "LONGDOUBLE",
+    ]
+    _cast_dict["CLONGDOUBLE"] = _cast_dict["LONGDOUBLE"] + [
+        "CFLOAT",
+        "CDOUBLE",
+        "CLONGDOUBLE",
+    ]
+    _cast_dict["CDOUBLE"] = _cast_dict["DOUBLE"] + ["CFLOAT", "CDOUBLE"]
+
+
+class Type:
+    _type_cache = {}
+
+    def __new__(cls, name):
+        if isinstance(name, np.dtype):
+            dtype0 = name
+            name = None
+            for n, i in c_names_dict.items():
+                if not isinstance(i, type) and dtype0.type is i.type:
+                    name = n
+                    break
+        obj = cls._type_cache.get(name.upper(), None)
+        if obj is not None:
+            return obj
+        obj = object.__new__(cls)
+        obj._init(name)
+        cls._type_cache[name.upper()] = obj
+        return obj
+
+    def _init(self, name):
+        self.NAME = name.upper()
+
+        if self.NAME == 'CHARACTER':
+            info = c_names_dict[self.NAME]
+            self.type_num = wrap.NPY_STRING
+            self.elsize = 1
+            self.dtype = np.dtype('c')
+        elif self.NAME.startswith('STRING'):
+            info = c_names_dict[self.NAME[:6]]
+            self.type_num = wrap.NPY_STRING
+            self.elsize = int(self.NAME[6:] or 0)
+            self.dtype = np.dtype(f'S{self.elsize}')
+        else:
+            info = c_names_dict[self.NAME]
+            self.type_num = getattr(wrap, 'NPY_' + self.NAME)
+            self.elsize = info.itemsize
+            self.dtype = np.dtype(info.type)
+
+        assert self.type_num == info.num
+        self.type = info.type
+        self.dtypechar = info.char
+
+    def __repr__(self):
+        return (f"Type({self.NAME})|type_num={self.type_num},"
+                f" dtype={self.dtype},"
+                f" type={self.type}, elsize={self.elsize},"
+                f" dtypechar={self.dtypechar}")
+
+    def cast_types(self):
+        return [self.__class__(_m) for _m in _cast_dict[self.NAME]]
+
+    def all_types(self):
+        return [self.__class__(_m) for _m in _type_names]
+
+    def smaller_types(self):
+        bits = c_names_dict[self.NAME].alignment
+        types = []
+        for name in _type_names:
+            if c_names_dict[name].alignment < bits:
+                types.append(Type(name))
+        return types
+
+    def equal_types(self):
+        bits = c_names_dict[self.NAME].alignment
+        types = []
+        for name in _type_names:
+            if name == self.NAME:
+                continue
+            if c_names_dict[name].alignment == bits:
+                types.append(Type(name))
+        return types
+
+    def larger_types(self):
+        bits = c_names_dict[self.NAME].alignment
+        types = []
+        for name in _type_names:
+            if c_names_dict[name].alignment > bits:
+                types.append(Type(name))
+        return types
+
+
+class Array:
+
+    def __repr__(self):
+        return (f'Array({self.type}, {self.dims}, {self.intent},'
+                f' {self.obj})|arr={self.arr}')
+
+    def __init__(self, typ, dims, intent, obj):
+        self.type = typ
+        self.dims = dims
+        self.intent = intent
+        self.obj_copy = copy.deepcopy(obj)
+        self.obj = obj
+
+        # arr.dtypechar may be different from typ.dtypechar
+        self.arr = wrap.call(typ.type_num,
+                             typ.elsize,
+                             dims, intent.flags, obj)
+
+        assert isinstance(self.arr, np.ndarray)
+
+        self.arr_attr = wrap.array_attrs(self.arr)
+
+        if len(dims) > 1:
+            if self.intent.is_intent("c"):
+                assert (intent.flags & wrap.F2PY_INTENT_C)
+                assert not self.arr.flags["FORTRAN"]
+                assert self.arr.flags["CONTIGUOUS"]
+                assert (not self.arr_attr[6] & wrap.FORTRAN)
+            else:
+                assert (not intent.flags & wrap.F2PY_INTENT_C)
+                assert self.arr.flags["FORTRAN"]
+                assert not self.arr.flags["CONTIGUOUS"]
+                assert (self.arr_attr[6] & wrap.FORTRAN)
+
+        if obj is None:
+            self.pyarr = None
+            self.pyarr_attr = None
+            return
+
+        if intent.is_intent("cache"):
+            assert isinstance(obj, np.ndarray), repr(type(obj))
+            self.pyarr = np.array(obj).reshape(*dims).copy()
+        else:
+            self.pyarr = np.array(
+                np.array(obj, dtype=typ.dtypechar).reshape(*dims),
+                order=self.intent.is_intent("c") and "C" or "F",
+            )
+            assert self.pyarr.dtype == typ
+        self.pyarr.setflags(write=self.arr.flags["WRITEABLE"])
+        assert self.pyarr.flags["OWNDATA"], (obj, intent)
+        self.pyarr_attr = wrap.array_attrs(self.pyarr)
+
+        if len(dims) > 1:
+            if self.intent.is_intent("c"):
+                assert not self.pyarr.flags["FORTRAN"]
+                assert self.pyarr.flags["CONTIGUOUS"]
+                assert (not self.pyarr_attr[6] & wrap.FORTRAN)
+            else:
+                assert self.pyarr.flags["FORTRAN"]
+                assert not self.pyarr.flags["CONTIGUOUS"]
+                assert (self.pyarr_attr[6] & wrap.FORTRAN)
+
+        assert self.arr_attr[1] == self.pyarr_attr[1]  # nd
+        assert self.arr_attr[2] == self.pyarr_attr[2]  # dimensions
+        if self.arr_attr[1] <= 1:
+            assert self.arr_attr[3] == self.pyarr_attr[3], repr((
+                self.arr_attr[3],
+                self.pyarr_attr[3],
+                self.arr.tobytes(),
+                self.pyarr.tobytes(),
+            ))  # strides
+        assert self.arr_attr[5][-2:] == self.pyarr_attr[5][-2:], repr((
+            self.arr_attr[5], self.pyarr_attr[5]
+            ))  # descr
+        assert self.arr_attr[6] == self.pyarr_attr[6], repr((
+            self.arr_attr[6],
+            self.pyarr_attr[6],
+            flags2names(0 * self.arr_attr[6] - self.pyarr_attr[6]),
+            flags2names(self.arr_attr[6]),
+            intent,
+        ))  # flags
+
+        if intent.is_intent("cache"):
+            assert self.arr_attr[5][3] >= self.type.elsize
+        else:
+            assert self.arr_attr[5][3] == self.type.elsize
+            assert (self.arr_equal(self.pyarr, self.arr))
+
+        if isinstance(self.obj, np.ndarray):
+            if typ.elsize == Type(obj.dtype).elsize:
+                if not intent.is_intent("copy") and self.arr_attr[1] <= 1:
+                    assert self.has_shared_memory()
+
+    def arr_equal(self, arr1, arr2):
+        if arr1.shape != arr2.shape:
+            return False
+        return (arr1 == arr2).all()
+
+    def __str__(self):
+        return str(self.arr)
+
+    def has_shared_memory(self):
+        """Check that created array shares data with input array."""
+        if self.obj is self.arr:
+            return True
+        if not isinstance(self.obj, np.ndarray):
+            return False
+        obj_attr = wrap.array_attrs(self.obj)
+        return obj_attr[0] == self.arr_attr[0]
+
+
+class TestIntent:
+    def test_in_out(self):
+        assert str(intent.in_.out) == "intent(in,out)"
+        assert intent.in_.c.is_intent("c")
+        assert not intent.in_.c.is_intent_exact("c")
+        assert intent.in_.c.is_intent_exact("c", "in")
+        assert intent.in_.c.is_intent_exact("in", "c")
+        assert not intent.in_.is_intent("c")
+
+
+class TestSharedMemory:
+
+    @pytest.fixture(autouse=True, scope="class", params=_type_names)
+    def setup_type(self, request):
+        request.cls.type = Type(request.param)
+        request.cls.array = lambda self, dims, intent, obj: Array(
+            Type(request.param), dims, intent, obj)
+
+    @property
+    def num2seq(self):
+        if self.type.NAME.startswith('STRING'):
+            elsize = self.type.elsize
+            return ['1' * elsize, '2' * elsize]
+        return [1, 2]
+
+    @property
+    def num23seq(self):
+        if self.type.NAME.startswith('STRING'):
+            elsize = self.type.elsize
+            return [['1' * elsize, '2' * elsize, '3' * elsize],
+                    ['4' * elsize, '5' * elsize, '6' * elsize]]
+        return [[1, 2, 3], [4, 5, 6]]
+
+    def test_in_from_2seq(self):
+        a = self.array([2], intent.in_, self.num2seq)
+        assert not a.has_shared_memory()
+
+    def test_in_from_2casttype(self):
+        for t in self.type.cast_types():
+            obj = np.array(self.num2seq, dtype=t.dtype)
+            a = self.array([len(self.num2seq)], intent.in_, obj)
+            if t.elsize == self.type.elsize:
+                assert a.has_shared_memory(), repr((self.type.dtype, t.dtype))
+            else:
+                assert not a.has_shared_memory()
+
+    @pytest.mark.parametrize("write", ["w", "ro"])
+    @pytest.mark.parametrize("order", ["C", "F"])
+    @pytest.mark.parametrize("inp", ["2seq", "23seq"])
+    def test_in_nocopy(self, write, order, inp):
+        """Test if intent(in) array can be passed without copies"""
+        seq = getattr(self, "num" + inp)
+        obj = np.array(seq, dtype=self.type.dtype, order=order)
+        obj.setflags(write=(write == 'w'))
+        a = self.array(obj.shape,
+                       ((order == 'C' and intent.in_.c) or intent.in_), obj)
+        assert a.has_shared_memory()
+
+    def test_inout_2seq(self):
+        obj = np.array(self.num2seq, dtype=self.type.dtype)
+        a = self.array([len(self.num2seq)], intent.inout, obj)
+        assert a.has_shared_memory()
+
+        try:
+            a = self.array([2], intent.in_.inout, self.num2seq)
+        except TypeError as msg:
+            if not str(msg).startswith(
+                    "failed to initialize intent(inout|inplace|cache) array"):
+                raise
+        else:
+            raise SystemError("intent(inout) should have failed on sequence")
+
+    def test_f_inout_23seq(self):
+        obj = np.array(self.num23seq, dtype=self.type.dtype, order="F")
+        shape = (len(self.num23seq), len(self.num23seq[0]))
+        a = self.array(shape, intent.in_.inout, obj)
+        assert a.has_shared_memory()
+
+        obj = np.array(self.num23seq, dtype=self.type.dtype, order="C")
+        shape = (len(self.num23seq), len(self.num23seq[0]))
+        try:
+            a = self.array(shape, intent.in_.inout, obj)
+        except ValueError as msg:
+            if not str(msg).startswith(
+                    "failed to initialize intent(inout) array"):
+                raise
+        else:
+            raise SystemError(
+                "intent(inout) should have failed on improper array")
+
+    def test_c_inout_23seq(self):
+        obj = np.array(self.num23seq, dtype=self.type.dtype)
+        shape = (len(self.num23seq), len(self.num23seq[0]))
+        a = self.array(shape, intent.in_.c.inout, obj)
+        assert a.has_shared_memory()
+
+    def test_in_copy_from_2casttype(self):
+        for t in self.type.cast_types():
+            obj = np.array(self.num2seq, dtype=t.dtype)
+            a = self.array([len(self.num2seq)], intent.in_.copy, obj)
+            assert not a.has_shared_memory()
+
+    def test_c_in_from_23seq(self):
+        a = self.array(
+            [len(self.num23seq), len(self.num23seq[0])], intent.in_,
+            self.num23seq)
+        assert not a.has_shared_memory()
+
+    def test_in_from_23casttype(self):
+        for t in self.type.cast_types():
+            obj = np.array(self.num23seq, dtype=t.dtype)
+            a = self.array(
+                [len(self.num23seq), len(self.num23seq[0])], intent.in_, obj)
+            assert not a.has_shared_memory()
+
+    def test_f_in_from_23casttype(self):
+        for t in self.type.cast_types():
+            obj = np.array(self.num23seq, dtype=t.dtype, order="F")
+            a = self.array(
+                [len(self.num23seq), len(self.num23seq[0])], intent.in_, obj)
+            if t.elsize == self.type.elsize:
+                assert a.has_shared_memory()
+            else:
+                assert not a.has_shared_memory()
+
+    def test_c_in_from_23casttype(self):
+        for t in self.type.cast_types():
+            obj = np.array(self.num23seq, dtype=t.dtype)
+            a = self.array(
+                [len(self.num23seq), len(self.num23seq[0])], intent.in_.c, obj)
+            if t.elsize == self.type.elsize:
+                assert a.has_shared_memory()
+            else:
+                assert not a.has_shared_memory()
+
+    def test_f_copy_in_from_23casttype(self):
+        for t in self.type.cast_types():
+            obj = np.array(self.num23seq, dtype=t.dtype, order="F")
+            a = self.array(
+                [len(self.num23seq), len(self.num23seq[0])], intent.in_.copy,
+                obj)
+            assert not a.has_shared_memory()
+
+    def test_c_copy_in_from_23casttype(self):
+        for t in self.type.cast_types():
+            obj = np.array(self.num23seq, dtype=t.dtype)
+            a = self.array(
+                [len(self.num23seq), len(self.num23seq[0])], intent.in_.c.copy,
+                obj)
+            assert not a.has_shared_memory()
+
+    def test_in_cache_from_2casttype(self):
+        for t in self.type.all_types():
+            if t.elsize != self.type.elsize:
+                continue
+            obj = np.array(self.num2seq, dtype=t.dtype)
+            shape = (len(self.num2seq), )
+            a = self.array(shape, intent.in_.c.cache, obj)
+            assert a.has_shared_memory()
+
+            a = self.array(shape, intent.in_.cache, obj)
+            assert a.has_shared_memory()
+
+            obj = np.array(self.num2seq, dtype=t.dtype, order="F")
+            a = self.array(shape, intent.in_.c.cache, obj)
+            assert a.has_shared_memory()
+
+            a = self.array(shape, intent.in_.cache, obj)
+            assert a.has_shared_memory(), repr(t.dtype)
+
+            try:
+                a = self.array(shape, intent.in_.cache, obj[::-1])
+            except ValueError as msg:
+                if not str(msg).startswith(
+                        "failed to initialize intent(cache) array"):
+                    raise
+            else:
+                raise SystemError(
+                    "intent(cache) should have failed on multisegmented array")
+
+    def test_in_cache_from_2casttype_failure(self):
+        for t in self.type.all_types():
+            if t.NAME == 'STRING':
+                # string elsize is 0, so skipping the test
+                continue
+            if t.elsize >= self.type.elsize:
+                continue
+            is_int = np.issubdtype(t.dtype, np.integer)
+            if is_int and int(self.num2seq[0]) > np.iinfo(t.dtype).max:
+                # skip test if num2seq would trigger an overflow error
+                continue
+            obj = np.array(self.num2seq, dtype=t.dtype)
+            shape = (len(self.num2seq), )
+            try:
+                self.array(shape, intent.in_.cache, obj)  # Should succeed
+            except ValueError as msg:
+                if not str(msg).startswith(
+                        "failed to initialize intent(cache) array"):
+                    raise
+            else:
+                raise SystemError(
+                    "intent(cache) should have failed on smaller array")
+
+    def test_cache_hidden(self):
+        shape = (2, )
+        a = self.array(shape, intent.cache.hide, None)
+        assert a.arr.shape == shape
+
+        shape = (2, 3)
+        a = self.array(shape, intent.cache.hide, None)
+        assert a.arr.shape == shape
+
+        shape = (-1, 3)
+        try:
+            a = self.array(shape, intent.cache.hide, None)
+        except ValueError as msg:
+            if not str(msg).startswith(
+                    "failed to create intent(cache|hide)|optional array"):
+                raise
+        else:
+            raise SystemError(
+                "intent(cache) should have failed on undefined dimensions")
+
+    def test_hidden(self):
+        shape = (2, )
+        a = self.array(shape, intent.hide, None)
+        assert a.arr.shape == shape
+        assert a.arr_equal(a.arr, np.zeros(shape, dtype=self.type.dtype))
+
+        shape = (2, 3)
+        a = self.array(shape, intent.hide, None)
+        assert a.arr.shape == shape
+        assert a.arr_equal(a.arr, np.zeros(shape, dtype=self.type.dtype))
+        assert a.arr.flags["FORTRAN"] and not a.arr.flags["CONTIGUOUS"]
+
+        shape = (2, 3)
+        a = self.array(shape, intent.c.hide, None)
+        assert a.arr.shape == shape
+        assert a.arr_equal(a.arr, np.zeros(shape, dtype=self.type.dtype))
+        assert not a.arr.flags["FORTRAN"] and a.arr.flags["CONTIGUOUS"]
+
+        shape = (-1, 3)
+        try:
+            a = self.array(shape, intent.hide, None)
+        except ValueError as msg:
+            if not str(msg).startswith(
+                    "failed to create intent(cache|hide)|optional array"):
+                raise
+        else:
+            raise SystemError(
+                "intent(hide) should have failed on undefined dimensions")
+
+    def test_optional_none(self):
+        shape = (2, )
+        a = self.array(shape, intent.optional, None)
+        assert a.arr.shape == shape
+        assert a.arr_equal(a.arr, np.zeros(shape, dtype=self.type.dtype))
+
+        shape = (2, 3)
+        a = self.array(shape, intent.optional, None)
+        assert a.arr.shape == shape
+        assert a.arr_equal(a.arr, np.zeros(shape, dtype=self.type.dtype))
+        assert a.arr.flags["FORTRAN"] and not a.arr.flags["CONTIGUOUS"]
+
+        shape = (2, 3)
+        a = self.array(shape, intent.c.optional, None)
+        assert a.arr.shape == shape
+        assert a.arr_equal(a.arr, np.zeros(shape, dtype=self.type.dtype))
+        assert not a.arr.flags["FORTRAN"] and a.arr.flags["CONTIGUOUS"]
+
+    def test_optional_from_2seq(self):
+        obj = self.num2seq
+        shape = (len(obj), )
+        a = self.array(shape, intent.optional, obj)
+        assert a.arr.shape == shape
+        assert not a.has_shared_memory()
+
+    def test_optional_from_23seq(self):
+        obj = self.num23seq
+        shape = (len(obj), len(obj[0]))
+        a = self.array(shape, intent.optional, obj)
+        assert a.arr.shape == shape
+        assert not a.has_shared_memory()
+
+        a = self.array(shape, intent.optional.c, obj)
+        assert a.arr.shape == shape
+        assert not a.has_shared_memory()
+
+    def test_inplace(self):
+        obj = np.array(self.num23seq, dtype=self.type.dtype)
+        assert not obj.flags["FORTRAN"] and obj.flags["CONTIGUOUS"]
+        shape = obj.shape
+        a = self.array(shape, intent.inplace, obj)
+        assert obj[1][2] == a.arr[1][2], repr((obj, a.arr))
+        a.arr[1][2] = 54
+        assert obj[1][2] == a.arr[1][2] == np.array(54, dtype=self.type.dtype)
+        assert a.arr is obj
+        assert obj.flags["FORTRAN"]  # obj attributes are changed inplace!
+        assert not obj.flags["CONTIGUOUS"]
+
+    def test_inplace_from_casttype(self):
+        for t in self.type.cast_types():
+            if t is self.type:
+                continue
+            obj = np.array(self.num23seq, dtype=t.dtype)
+            assert obj.dtype.type == t.type
+            assert obj.dtype.type is not self.type.type
+            assert not obj.flags["FORTRAN"] and obj.flags["CONTIGUOUS"]
+            shape = obj.shape
+            a = self.array(shape, intent.inplace, obj)
+            assert obj[1][2] == a.arr[1][2], repr((obj, a.arr))
+            a.arr[1][2] = 54
+            assert obj[1][2] == a.arr[1][2] == np.array(54,
+                                                        dtype=self.type.dtype)
+            assert a.arr is obj
+            assert obj.flags["FORTRAN"]  # obj attributes changed inplace!
+            assert not obj.flags["CONTIGUOUS"]
+            assert obj.dtype.type is self.type.type  # obj changed inplace!
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_assumed_shape.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_assumed_shape.py
new file mode 100644
index 0000000000000000000000000000000000000000..d4664cf88cbe9701105a5d428332e3aa0d623930
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_assumed_shape.py
@@ -0,0 +1,49 @@
+import os
+import pytest
+import tempfile
+
+from . import util
+
+
+class TestAssumedShapeSumExample(util.F2PyTest):
+    sources = [
+        util.getpath("tests", "src", "assumed_shape", "foo_free.f90"),
+        util.getpath("tests", "src", "assumed_shape", "foo_use.f90"),
+        util.getpath("tests", "src", "assumed_shape", "precision.f90"),
+        util.getpath("tests", "src", "assumed_shape", "foo_mod.f90"),
+        util.getpath("tests", "src", "assumed_shape", ".f2py_f2cmap"),
+    ]
+
+    @pytest.mark.slow
+    def test_all(self):
+        r = self.module.fsum([1, 2])
+        assert r == 3
+        r = self.module.sum([1, 2])
+        assert r == 3
+        r = self.module.sum_with_use([1, 2])
+        assert r == 3
+
+        r = self.module.mod.sum([1, 2])
+        assert r == 3
+        r = self.module.mod.fsum([1, 2])
+        assert r == 3
+
+
+class TestF2cmapOption(TestAssumedShapeSumExample):
+    def setup_method(self):
+        # Use a custom file name for .f2py_f2cmap
+        self.sources = list(self.sources)
+        f2cmap_src = self.sources.pop(-1)
+
+        self.f2cmap_file = tempfile.NamedTemporaryFile(delete=False)
+        with open(f2cmap_src, "rb") as f:
+            self.f2cmap_file.write(f.read())
+        self.f2cmap_file.close()
+
+        self.sources.append(self.f2cmap_file.name)
+        self.options = ["--f2cmap", self.f2cmap_file.name]
+
+        super().setup_method()
+
+    def teardown_method(self):
+        os.unlink(self.f2cmap_file.name)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_block_docstring.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_block_docstring.py
new file mode 100644
index 0000000000000000000000000000000000000000..16b5559e8e42da3fdcf0890fc08fb0a248bd69c1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_block_docstring.py
@@ -0,0 +1,18 @@
+import sys
+import pytest
+from . import util
+
+from numpy.testing import IS_PYPY
+
+
+@pytest.mark.slow
+class TestBlockDocString(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "block_docstring", "foo.f")]
+
+    @pytest.mark.skipif(sys.platform == "win32",
+                        reason="Fails with MinGW64 Gfortran (Issue #9673)")
+    @pytest.mark.xfail(IS_PYPY,
+                       reason="PyPy cannot modify tp_doc after PyType_Ready")
+    def test_block_docstring(self):
+        expected = "bar : 'i'-array(2,3)\n"
+        assert self.module.block.__doc__ == expected
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_callback.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_callback.py
new file mode 100644
index 0000000000000000000000000000000000000000..4a9ed484a4a4a370f0c2d82d6a3d5b6f7ab5582e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_callback.py
@@ -0,0 +1,261 @@
+import math
+import textwrap
+import sys
+import pytest
+import threading
+import traceback
+import time
+import platform
+
+import numpy as np
+from numpy.testing import IS_PYPY
+from . import util
+
+
+class TestF77Callback(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "callback", "foo.f")]
+
+    @pytest.mark.parametrize("name", "t,t2".split(","))
+    @pytest.mark.slow
+    def test_all(self, name):
+        self.check_function(name)
+
+    @pytest.mark.xfail(IS_PYPY,
+                       reason="PyPy cannot modify tp_doc after PyType_Ready")
+    def test_docstring(self):
+        expected = textwrap.dedent("""\
+        a = t(fun,[fun_extra_args])
+
+        Wrapper for ``t``.
+
+        Parameters
+        ----------
+        fun : call-back function
+
+        Other Parameters
+        ----------------
+        fun_extra_args : input tuple, optional
+            Default: ()
+
+        Returns
+        -------
+        a : int
+
+        Notes
+        -----
+        Call-back functions::
+
+            def fun(): return a
+            Return objects:
+                a : int
+        """)
+        assert self.module.t.__doc__ == expected
+
+    def check_function(self, name):
+        t = getattr(self.module, name)
+        r = t(lambda: 4)
+        assert r == 4
+        r = t(lambda a: 5, fun_extra_args=(6, ))
+        assert r == 5
+        r = t(lambda a: a, fun_extra_args=(6, ))
+        assert r == 6
+        r = t(lambda a: 5 + a, fun_extra_args=(7, ))
+        assert r == 12
+        r = t(lambda a: math.degrees(a), fun_extra_args=(math.pi, ))
+        assert r == 180
+        r = t(math.degrees, fun_extra_args=(math.pi, ))
+        assert r == 180
+
+        r = t(self.module.func, fun_extra_args=(6, ))
+        assert r == 17
+        r = t(self.module.func0)
+        assert r == 11
+        r = t(self.module.func0._cpointer)
+        assert r == 11
+
+        class A:
+            def __call__(self):
+                return 7
+
+            def mth(self):
+                return 9
+
+        a = A()
+        r = t(a)
+        assert r == 7
+        r = t(a.mth)
+        assert r == 9
+
+    @pytest.mark.skipif(sys.platform == 'win32',
+                        reason='Fails with MinGW64 Gfortran (Issue #9673)')
+    def test_string_callback(self):
+        def callback(code):
+            if code == "r":
+                return 0
+            else:
+                return 1
+
+        f = self.module.string_callback
+        r = f(callback)
+        assert r == 0
+
+    @pytest.mark.skipif(sys.platform == 'win32',
+                        reason='Fails with MinGW64 Gfortran (Issue #9673)')
+    def test_string_callback_array(self):
+        # See gh-10027
+        cu1 = np.zeros((1, ), "S8")
+        cu2 = np.zeros((1, 8), "c")
+        cu3 = np.array([""], "S8")
+
+        def callback(cu, lencu):
+            if cu.shape != (lencu,):
+                return 1
+            if cu.dtype != "S8":
+                return 2
+            if not np.all(cu == b""):
+                return 3
+            return 0
+
+        f = self.module.string_callback_array
+        for cu in [cu1, cu2, cu3]:
+            res = f(callback, cu, cu.size)
+            assert res == 0
+
+    def test_threadsafety(self):
+        # Segfaults if the callback handling is not threadsafe
+
+        errors = []
+
+        def cb():
+            # Sleep here to make it more likely for another thread
+            # to call their callback at the same time.
+            time.sleep(1e-3)
+
+            # Check reentrancy
+            r = self.module.t(lambda: 123)
+            assert r == 123
+
+            return 42
+
+        def runner(name):
+            try:
+                for j in range(50):
+                    r = self.module.t(cb)
+                    assert r == 42
+                    self.check_function(name)
+            except Exception:
+                errors.append(traceback.format_exc())
+
+        threads = [
+            threading.Thread(target=runner, args=(arg, ))
+            for arg in ("t", "t2") for n in range(20)
+        ]
+
+        for t in threads:
+            t.start()
+
+        for t in threads:
+            t.join()
+
+        errors = "\n\n".join(errors)
+        if errors:
+            raise AssertionError(errors)
+
+    def test_hidden_callback(self):
+        try:
+            self.module.hidden_callback(2)
+        except Exception as msg:
+            assert str(msg).startswith("Callback global_f not defined")
+
+        try:
+            self.module.hidden_callback2(2)
+        except Exception as msg:
+            assert str(msg).startswith("cb: Callback global_f not defined")
+
+        self.module.global_f = lambda x: x + 1
+        r = self.module.hidden_callback(2)
+        assert r == 3
+
+        self.module.global_f = lambda x: x + 2
+        r = self.module.hidden_callback(2)
+        assert r == 4
+
+        del self.module.global_f
+        try:
+            self.module.hidden_callback(2)
+        except Exception as msg:
+            assert str(msg).startswith("Callback global_f not defined")
+
+        self.module.global_f = lambda x=0: x + 3
+        r = self.module.hidden_callback(2)
+        assert r == 5
+
+        # reproducer of gh18341
+        r = self.module.hidden_callback2(2)
+        assert r == 3
+
+
+class TestF77CallbackPythonTLS(TestF77Callback):
+    """
+    Callback tests using Python thread-local storage instead of
+    compiler-provided
+    """
+
+    options = ["-DF2PY_USE_PYTHON_TLS"]
+
+
+class TestF90Callback(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "callback", "gh17797.f90")]
+
+    @pytest.mark.slow
+    def test_gh17797(self):
+        def incr(x):
+            return x + 123
+
+        y = np.array([1, 2, 3], dtype=np.int64)
+        r = self.module.gh17797(incr, y)
+        assert r == 123 + 1 + 2 + 3
+
+
+class TestGH18335(util.F2PyTest):
+    """The reproduction of the reported issue requires specific input that
+    extensions may break the issue conditions, so the reproducer is
+    implemented as a separate test class. Do not extend this test with
+    other tests!
+    """
+    sources = [util.getpath("tests", "src", "callback", "gh18335.f90")]
+
+    @pytest.mark.slow
+    def test_gh18335(self):
+        def foo(x):
+            x[0] += 1
+
+        r = self.module.gh18335(foo)
+        assert r == 123 + 1
+
+
+class TestGH25211(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "callback", "gh25211.f"),
+               util.getpath("tests", "src", "callback", "gh25211.pyf")]
+    module_name = "callback2"
+
+    def test_gh25211(self):
+        def bar(x):
+            return x*x
+
+        res = self.module.foo(bar)
+        assert res == 110
+
+
+@pytest.mark.slow
+@pytest.mark.xfail(condition=(platform.system().lower() == 'darwin'),
+                   run=False,
+                   reason="Callback aborts cause CI failures on macOS")
+class TestCBFortranCallstatement(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "callback", "gh26681.f90")]
+    options = ['--lower']
+
+    def test_callstatement_fortran(self):
+        with pytest.raises(ValueError, match='helpme') as exc:
+            self.module.mypy_abort = self.module.utils.my_abort
+            self.module.utils.do_something('helpme')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_character.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_character.py
new file mode 100644
index 0000000000000000000000000000000000000000..da00fa9e27cd4dff6d7af9642067a0a162cfbbb0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_character.py
@@ -0,0 +1,639 @@
+import pytest
+import textwrap
+from numpy.testing import assert_array_equal, assert_equal, assert_raises
+import numpy as np
+from numpy.f2py.tests import util
+
+
+@pytest.mark.slow
+class TestCharacterString(util.F2PyTest):
+    # options = ['--debug-capi', '--build-dir', '/tmp/test-build-f2py']
+    suffix = '.f90'
+    fprefix = 'test_character_string'
+    length_list = ['1', '3', 'star']
+
+    code = ''
+    for length in length_list:
+        fsuffix = length
+        clength = dict(star='(*)').get(length, length)
+
+        code += textwrap.dedent(f"""
+
+        subroutine {fprefix}_input_{fsuffix}(c, o, n)
+          character*{clength}, intent(in) :: c
+          integer n
+          !f2py integer, depend(c), intent(hide) :: n = slen(c)
+          integer*1, dimension(n) :: o
+          !f2py intent(out) o
+          o = transfer(c, o)
+        end subroutine {fprefix}_input_{fsuffix}
+
+        subroutine {fprefix}_output_{fsuffix}(c, o, n)
+          character*{clength}, intent(out) :: c
+          integer n
+          integer*1, dimension(n), intent(in) :: o
+          !f2py integer, depend(o), intent(hide) :: n = len(o)
+          c = transfer(o, c)
+        end subroutine {fprefix}_output_{fsuffix}
+
+        subroutine {fprefix}_array_input_{fsuffix}(c, o, m, n)
+          integer m, i, n
+          character*{clength}, intent(in), dimension(m) :: c
+          !f2py integer, depend(c), intent(hide) :: m = len(c)
+          !f2py integer, depend(c), intent(hide) :: n = f2py_itemsize(c)
+          integer*1, dimension(m, n), intent(out) :: o
+          do i=1,m
+            o(i, :) = transfer(c(i), o(i, :))
+          end do
+        end subroutine {fprefix}_array_input_{fsuffix}
+
+        subroutine {fprefix}_array_output_{fsuffix}(c, o, m, n)
+          character*{clength}, intent(out), dimension(m) :: c
+          integer n
+          integer*1, dimension(m, n), intent(in) :: o
+          !f2py character(f2py_len=n) :: c
+          !f2py integer, depend(o), intent(hide) :: m = len(o)
+          !f2py integer, depend(o), intent(hide) :: n = shape(o, 1)
+          do i=1,m
+            c(i) = transfer(o(i, :), c(i))
+          end do
+        end subroutine {fprefix}_array_output_{fsuffix}
+
+        subroutine {fprefix}_2d_array_input_{fsuffix}(c, o, m1, m2, n)
+          integer m1, m2, i, j, n
+          character*{clength}, intent(in), dimension(m1, m2) :: c
+          !f2py integer, depend(c), intent(hide) :: m1 = len(c)
+          !f2py integer, depend(c), intent(hide) :: m2 = shape(c, 1)
+          !f2py integer, depend(c), intent(hide) :: n = f2py_itemsize(c)
+          integer*1, dimension(m1, m2, n), intent(out) :: o
+          do i=1,m1
+            do j=1,m2
+              o(i, j, :) = transfer(c(i, j), o(i, j, :))
+            end do
+          end do
+        end subroutine {fprefix}_2d_array_input_{fsuffix}
+        """)
+
+    @pytest.mark.parametrize("length", length_list)
+    def test_input(self, length):
+        fsuffix = {'(*)': 'star'}.get(length, length)
+        f = getattr(self.module, self.fprefix + '_input_' + fsuffix)
+
+        a = {'1': 'a', '3': 'abc', 'star': 'abcde' * 3}[length]
+
+        assert_array_equal(f(a), np.array(list(map(ord, a)), dtype='u1'))
+
+    @pytest.mark.parametrize("length", length_list[:-1])
+    def test_output(self, length):
+        fsuffix = length
+        f = getattr(self.module, self.fprefix + '_output_' + fsuffix)
+
+        a = {'1': 'a', '3': 'abc'}[length]
+
+        assert_array_equal(f(np.array(list(map(ord, a)), dtype='u1')),
+                           a.encode())
+
+    @pytest.mark.parametrize("length", length_list)
+    def test_array_input(self, length):
+        fsuffix = length
+        f = getattr(self.module, self.fprefix + '_array_input_' + fsuffix)
+
+        a = np.array([{'1': 'a', '3': 'abc', 'star': 'abcde' * 3}[length],
+                      {'1': 'A', '3': 'ABC', 'star': 'ABCDE' * 3}[length],
+                      ], dtype='S')
+
+        expected = np.array([list(s) for s in a], dtype='u1')
+        assert_array_equal(f(a), expected)
+
+    @pytest.mark.parametrize("length", length_list)
+    def test_array_output(self, length):
+        fsuffix = length
+        f = getattr(self.module, self.fprefix + '_array_output_' + fsuffix)
+
+        expected = np.array(
+            [{'1': 'a', '3': 'abc', 'star': 'abcde' * 3}[length],
+             {'1': 'A', '3': 'ABC', 'star': 'ABCDE' * 3}[length]], dtype='S')
+
+        a = np.array([list(s) for s in expected], dtype='u1')
+        assert_array_equal(f(a), expected)
+
+    @pytest.mark.parametrize("length", length_list)
+    def test_2d_array_input(self, length):
+        fsuffix = length
+        f = getattr(self.module, self.fprefix + '_2d_array_input_' + fsuffix)
+
+        a = np.array([[{'1': 'a', '3': 'abc', 'star': 'abcde' * 3}[length],
+                       {'1': 'A', '3': 'ABC', 'star': 'ABCDE' * 3}[length]],
+                      [{'1': 'f', '3': 'fgh', 'star': 'fghij' * 3}[length],
+                       {'1': 'F', '3': 'FGH', 'star': 'FGHIJ' * 3}[length]]],
+                     dtype='S')
+        expected = np.array([[list(item) for item in row] for row in a],
+                            dtype='u1', order='F')
+        assert_array_equal(f(a), expected)
+
+
+class TestCharacter(util.F2PyTest):
+    # options = ['--debug-capi', '--build-dir', '/tmp/test-build-f2py']
+    suffix = '.f90'
+    fprefix = 'test_character'
+
+    code = textwrap.dedent(f"""
+       subroutine {fprefix}_input(c, o)
+          character, intent(in) :: c
+          integer*1 o
+          !f2py intent(out) o
+          o = transfer(c, o)
+       end subroutine {fprefix}_input
+
+       subroutine {fprefix}_output(c, o)
+          character :: c
+          integer*1, intent(in) :: o
+          !f2py intent(out) c
+          c = transfer(o, c)
+       end subroutine {fprefix}_output
+
+       subroutine {fprefix}_input_output(c, o)
+          character, intent(in) :: c
+          character o
+          !f2py intent(out) o
+          o = c
+       end subroutine {fprefix}_input_output
+
+       subroutine {fprefix}_inout(c, n)
+          character :: c, n
+          !f2py intent(in) n
+          !f2py intent(inout) c
+          c = n
+       end subroutine {fprefix}_inout
+
+       function {fprefix}_return(o) result (c)
+          character :: c
+          character, intent(in) :: o
+          c = transfer(o, c)
+       end function {fprefix}_return
+
+       subroutine {fprefix}_array_input(c, o)
+          character, intent(in) :: c(3)
+          integer*1 o(3)
+          !f2py intent(out) o
+          integer i
+          do i=1,3
+            o(i) = transfer(c(i), o(i))
+          end do
+       end subroutine {fprefix}_array_input
+
+       subroutine {fprefix}_2d_array_input(c, o)
+          character, intent(in) :: c(2, 3)
+          integer*1 o(2, 3)
+          !f2py intent(out) o
+          integer i, j
+          do i=1,2
+            do j=1,3
+              o(i, j) = transfer(c(i, j), o(i, j))
+            end do
+          end do
+       end subroutine {fprefix}_2d_array_input
+
+       subroutine {fprefix}_array_output(c, o)
+          character :: c(3)
+          integer*1, intent(in) :: o(3)
+          !f2py intent(out) c
+          do i=1,3
+            c(i) = transfer(o(i), c(i))
+          end do
+       end subroutine {fprefix}_array_output
+
+       subroutine {fprefix}_array_inout(c, n)
+          character :: c(3), n(3)
+          !f2py intent(in) n(3)
+          !f2py intent(inout) c(3)
+          do i=1,3
+            c(i) = n(i)
+          end do
+       end subroutine {fprefix}_array_inout
+
+       subroutine {fprefix}_2d_array_inout(c, n)
+          character :: c(2, 3), n(2, 3)
+          !f2py intent(in) n(2, 3)
+          !f2py intent(inout) c(2. 3)
+          integer i, j
+          do i=1,2
+            do j=1,3
+              c(i, j) = n(i, j)
+            end do
+          end do
+       end subroutine {fprefix}_2d_array_inout
+
+       function {fprefix}_array_return(o) result (c)
+          character, dimension(3) :: c
+          character, intent(in) :: o(3)
+          do i=1,3
+            c(i) = o(i)
+          end do
+       end function {fprefix}_array_return
+
+       function {fprefix}_optional(o) result (c)
+          character, intent(in) :: o
+          !f2py character o = "a"
+          character :: c
+          c = o
+       end function {fprefix}_optional
+    """)
+
+    @pytest.mark.parametrize("dtype", ['c', 'S1'])
+    def test_input(self, dtype):
+        f = getattr(self.module, self.fprefix + '_input')
+
+        assert_equal(f(np.array('a', dtype=dtype)), ord('a'))
+        assert_equal(f(np.array(b'a', dtype=dtype)), ord('a'))
+        assert_equal(f(np.array(['a'], dtype=dtype)), ord('a'))
+        assert_equal(f(np.array('abc', dtype=dtype)), ord('a'))
+        assert_equal(f(np.array([['a']], dtype=dtype)), ord('a'))
+
+    def test_input_varia(self):
+        f = getattr(self.module, self.fprefix + '_input')
+
+        assert_equal(f('a'), ord('a'))
+        assert_equal(f(b'a'), ord(b'a'))
+        assert_equal(f(''), 0)
+        assert_equal(f(b''), 0)
+        assert_equal(f(b'\0'), 0)
+        assert_equal(f('ab'), ord('a'))
+        assert_equal(f(b'ab'), ord('a'))
+        assert_equal(f(['a']), ord('a'))
+
+        assert_equal(f(np.array(b'a')), ord('a'))
+        assert_equal(f(np.array([b'a'])), ord('a'))
+        a = np.array('a')
+        assert_equal(f(a), ord('a'))
+        a = np.array(['a'])
+        assert_equal(f(a), ord('a'))
+
+        try:
+            f([])
+        except IndexError as msg:
+            if not str(msg).endswith(' got 0-list'):
+                raise
+        else:
+            raise SystemError(f'{f.__name__} should have failed on empty list')
+
+        try:
+            f(97)
+        except TypeError as msg:
+            if not str(msg).endswith(' got int instance'):
+                raise
+        else:
+            raise SystemError(f'{f.__name__} should have failed on int value')
+
+    @pytest.mark.parametrize("dtype", ['c', 'S1', 'U1'])
+    def test_array_input(self, dtype):
+        f = getattr(self.module, self.fprefix + '_array_input')
+
+        assert_array_equal(f(np.array(['a', 'b', 'c'], dtype=dtype)),
+                           np.array(list(map(ord, 'abc')), dtype='i1'))
+        assert_array_equal(f(np.array([b'a', b'b', b'c'], dtype=dtype)),
+                           np.array(list(map(ord, 'abc')), dtype='i1'))
+
+    def test_array_input_varia(self):
+        f = getattr(self.module, self.fprefix + '_array_input')
+        assert_array_equal(f(['a', 'b', 'c']),
+                           np.array(list(map(ord, 'abc')), dtype='i1'))
+        assert_array_equal(f([b'a', b'b', b'c']),
+                           np.array(list(map(ord, 'abc')), dtype='i1'))
+
+        try:
+            f(['a', 'b', 'c', 'd'])
+        except ValueError as msg:
+            if not str(msg).endswith(
+                    'th dimension must be fixed to 3 but got 4'):
+                raise
+        else:
+            raise SystemError(
+                f'{f.__name__} should have failed on wrong input')
+
+    @pytest.mark.parametrize("dtype", ['c', 'S1', 'U1'])
+    def test_2d_array_input(self, dtype):
+        f = getattr(self.module, self.fprefix + '_2d_array_input')
+
+        a = np.array([['a', 'b', 'c'],
+                      ['d', 'e', 'f']], dtype=dtype, order='F')
+        expected = a.view(np.uint32 if dtype == 'U1' else np.uint8)
+        assert_array_equal(f(a), expected)
+
+    def test_output(self):
+        f = getattr(self.module, self.fprefix + '_output')
+
+        assert_equal(f(ord(b'a')), b'a')
+        assert_equal(f(0), b'\0')
+
+    def test_array_output(self):
+        f = getattr(self.module, self.fprefix + '_array_output')
+
+        assert_array_equal(f(list(map(ord, 'abc'))),
+                           np.array(list('abc'), dtype='S1'))
+
+    def test_input_output(self):
+        f = getattr(self.module, self.fprefix + '_input_output')
+
+        assert_equal(f(b'a'), b'a')
+        assert_equal(f('a'), b'a')
+        assert_equal(f(''), b'\0')
+
+    @pytest.mark.parametrize("dtype", ['c', 'S1'])
+    def test_inout(self, dtype):
+        f = getattr(self.module, self.fprefix + '_inout')
+
+        a = np.array(list('abc'), dtype=dtype)
+        f(a, 'A')
+        assert_array_equal(a, np.array(list('Abc'), dtype=a.dtype))
+        f(a[1:], 'B')
+        assert_array_equal(a, np.array(list('ABc'), dtype=a.dtype))
+
+        a = np.array(['abc'], dtype=dtype)
+        f(a, 'A')
+        assert_array_equal(a, np.array(['Abc'], dtype=a.dtype))
+
+    def test_inout_varia(self):
+        f = getattr(self.module, self.fprefix + '_inout')
+        a = np.array('abc', dtype='S3')
+        f(a, 'A')
+        assert_array_equal(a, np.array('Abc', dtype=a.dtype))
+
+        a = np.array(['abc'], dtype='S3')
+        f(a, 'A')
+        assert_array_equal(a, np.array(['Abc'], dtype=a.dtype))
+
+        try:
+            f('abc', 'A')
+        except ValueError as msg:
+            if not str(msg).endswith(' got 3-str'):
+                raise
+        else:
+            raise SystemError(f'{f.__name__} should have failed on str value')
+
+    @pytest.mark.parametrize("dtype", ['c', 'S1'])
+    def test_array_inout(self, dtype):
+        f = getattr(self.module, self.fprefix + '_array_inout')
+        n = np.array(['A', 'B', 'C'], dtype=dtype, order='F')
+
+        a = np.array(['a', 'b', 'c'], dtype=dtype, order='F')
+        f(a, n)
+        assert_array_equal(a, n)
+
+        a = np.array(['a', 'b', 'c', 'd'], dtype=dtype)
+        f(a[1:], n)
+        assert_array_equal(a, np.array(['a', 'A', 'B', 'C'], dtype=dtype))
+
+        a = np.array([['a', 'b', 'c']], dtype=dtype, order='F')
+        f(a, n)
+        assert_array_equal(a, np.array([['A', 'B', 'C']], dtype=dtype))
+
+        a = np.array(['a', 'b', 'c', 'd'], dtype=dtype, order='F')
+        try:
+            f(a, n)
+        except ValueError as msg:
+            if not str(msg).endswith(
+                    'th dimension must be fixed to 3 but got 4'):
+                raise
+        else:
+            raise SystemError(
+                f'{f.__name__} should have failed on wrong input')
+
+    @pytest.mark.parametrize("dtype", ['c', 'S1'])
+    def test_2d_array_inout(self, dtype):
+        f = getattr(self.module, self.fprefix + '_2d_array_inout')
+        n = np.array([['A', 'B', 'C'],
+                      ['D', 'E', 'F']],
+                     dtype=dtype, order='F')
+        a = np.array([['a', 'b', 'c'],
+                      ['d', 'e', 'f']],
+                     dtype=dtype, order='F')
+        f(a, n)
+        assert_array_equal(a, n)
+
+    def test_return(self):
+        f = getattr(self.module, self.fprefix + '_return')
+
+        assert_equal(f('a'), b'a')
+
+    @pytest.mark.skip('fortran function returning array segfaults')
+    def test_array_return(self):
+        f = getattr(self.module, self.fprefix + '_array_return')
+
+        a = np.array(list('abc'), dtype='S1')
+        assert_array_equal(f(a), a)
+
+    def test_optional(self):
+        f = getattr(self.module, self.fprefix + '_optional')
+
+        assert_equal(f(), b"a")
+        assert_equal(f(b'B'), b"B")
+
+
+class TestMiscCharacter(util.F2PyTest):
+    # options = ['--debug-capi', '--build-dir', '/tmp/test-build-f2py']
+    suffix = '.f90'
+    fprefix = 'test_misc_character'
+
+    code = textwrap.dedent(f"""
+       subroutine {fprefix}_gh18684(x, y, m)
+         character(len=5), dimension(m), intent(in) :: x
+         character*5, dimension(m), intent(out) :: y
+         integer i, m
+         !f2py integer, intent(hide), depend(x) :: m = f2py_len(x)
+         do i=1,m
+           y(i) = x(i)
+         end do
+       end subroutine {fprefix}_gh18684
+
+       subroutine {fprefix}_gh6308(x, i)
+         integer i
+         !f2py check(i>=0 && i<12) i
+         character*5 name, x
+         common name(12)
+         name(i + 1) = x
+       end subroutine {fprefix}_gh6308
+
+       subroutine {fprefix}_gh4519(x)
+         character(len=*), intent(in) :: x(:)
+         !f2py intent(out) x
+         integer :: i
+         ! Uncomment for debug printing:
+         !do i=1, size(x)
+         !   print*, "x(",i,")=", x(i)
+         !end do
+       end subroutine {fprefix}_gh4519
+
+       pure function {fprefix}_gh3425(x) result (y)
+         character(len=*), intent(in) :: x
+         character(len=len(x)) :: y
+         integer :: i
+         do i = 1, len(x)
+           j = iachar(x(i:i))
+           if (j>=iachar("a") .and. j<=iachar("z") ) then
+             y(i:i) = achar(j-32)
+           else
+             y(i:i) = x(i:i)
+           endif
+         end do
+       end function {fprefix}_gh3425
+
+       subroutine {fprefix}_character_bc_new(x, y, z)
+         character, intent(in) :: x
+         character, intent(out) :: y
+         !f2py character, depend(x) :: y = x
+         !f2py character, dimension((x=='a'?1:2)), depend(x), intent(out) :: z
+         character, dimension(*) :: z
+         !f2py character, optional, check(x == 'a' || x == 'b') :: x = 'a'
+         !f2py callstatement (*f2py_func)(&x, &y, z)
+         !f2py callprotoargument character*, character*, character*
+         if (y.eq.x) then
+           y = x
+         else
+           y = 'e'
+         endif
+         z(1) = 'c'
+       end subroutine {fprefix}_character_bc_new
+
+       subroutine {fprefix}_character_bc_old(x, y, z)
+         character, intent(in) :: x
+         character, intent(out) :: y
+         !f2py character, depend(x) :: y = x[0]
+         !f2py character, dimension((*x=='a'?1:2)), depend(x), intent(out) :: z
+         character, dimension(*) :: z
+         !f2py character, optional, check(*x == 'a' || x[0] == 'b') :: x = 'a'
+         !f2py callstatement (*f2py_func)(x, y, z)
+         !f2py callprotoargument char*, char*, char*
+          if (y.eq.x) then
+           y = x
+         else
+           y = 'e'
+         endif
+         z(1) = 'c'
+       end subroutine {fprefix}_character_bc_old
+    """)
+
+    @pytest.mark.slow
+    def test_gh18684(self):
+        # Test character(len=5) and character*5 usages
+        f = getattr(self.module, self.fprefix + '_gh18684')
+        x = np.array(["abcde", "fghij"], dtype='S5')
+        y = f(x)
+
+        assert_array_equal(x, y)
+
+    def test_gh6308(self):
+        # Test character string array in a common block
+        f = getattr(self.module, self.fprefix + '_gh6308')
+
+        assert_equal(self.module._BLNK_.name.dtype, np.dtype('S5'))
+        assert_equal(len(self.module._BLNK_.name), 12)
+        f("abcde", 0)
+        assert_equal(self.module._BLNK_.name[0], b"abcde")
+        f("12345", 5)
+        assert_equal(self.module._BLNK_.name[5], b"12345")
+
+    def test_gh4519(self):
+        # Test array of assumed length strings
+        f = getattr(self.module, self.fprefix + '_gh4519')
+
+        for x, expected in [
+                ('a', dict(shape=(), dtype=np.dtype('S1'))),
+                ('text', dict(shape=(), dtype=np.dtype('S4'))),
+                (np.array(['1', '2', '3'], dtype='S1'),
+                 dict(shape=(3,), dtype=np.dtype('S1'))),
+                (['1', '2', '34'],
+                 dict(shape=(3,), dtype=np.dtype('S2'))),
+                (['', ''], dict(shape=(2,), dtype=np.dtype('S1')))]:
+            r = f(x)
+            for k, v in expected.items():
+                assert_equal(getattr(r, k), v)
+
+    def test_gh3425(self):
+        # Test returning a copy of assumed length string
+        f = getattr(self.module, self.fprefix + '_gh3425')
+        # f is equivalent to bytes.upper
+
+        assert_equal(f('abC'), b'ABC')
+        assert_equal(f(''), b'')
+        assert_equal(f('abC12d'), b'ABC12D')
+
+    @pytest.mark.parametrize("state", ['new', 'old'])
+    def test_character_bc(self, state):
+        f = getattr(self.module, self.fprefix + '_character_bc_' + state)
+
+        c, a = f()
+        assert_equal(c, b'a')
+        assert_equal(len(a), 1)
+
+        c, a = f(b'b')
+        assert_equal(c, b'b')
+        assert_equal(len(a), 2)
+
+        assert_raises(Exception, lambda: f(b'c'))
+
+
+class TestStringScalarArr(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "string", "scalar_string.f90")]
+
+    def test_char(self):
+        for out in (self.module.string_test.string,
+                    self.module.string_test.string77):
+            expected = ()
+            assert out.shape == expected
+            expected = '|S8'
+            assert out.dtype == expected
+
+    def test_char_arr(self):
+        for out in (self.module.string_test.strarr,
+                    self.module.string_test.strarr77):
+            expected = (5,7)
+            assert out.shape == expected
+            expected = '|S12'
+            assert out.dtype == expected
+
+class TestStringAssumedLength(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "string", "gh24008.f")]
+
+    def test_gh24008(self):
+        self.module.greet("joe", "bob")
+
+@pytest.mark.slow
+class TestStringOptionalInOut(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "string", "gh24662.f90")]
+
+    def test_gh24662(self):
+        self.module.string_inout_optional()
+        a = np.array('hi', dtype='S32')
+        self.module.string_inout_optional(a)
+        assert "output string" in a.tobytes().decode()
+        with pytest.raises(Exception):
+            aa = "Hi"
+            self.module.string_inout_optional(aa)
+
+
+@pytest.mark.slow
+class TestNewCharHandling(util.F2PyTest):
+    # from v1.24 onwards, gh-19388
+    sources = [
+        util.getpath("tests", "src", "string", "gh25286.pyf"),
+        util.getpath("tests", "src", "string", "gh25286.f90")
+    ]
+    module_name = "_char_handling_test"
+
+    def test_gh25286(self):
+        info = self.module.charint('T')
+        assert info == 2
+
+@pytest.mark.slow
+class TestBCCharHandling(util.F2PyTest):
+    # SciPy style, "incorrect" bindings with a hook
+    sources = [
+        util.getpath("tests", "src", "string", "gh25286_bc.pyf"),
+        util.getpath("tests", "src", "string", "gh25286.f90")
+    ]
+    module_name = "_char_handling_test"
+
+    def test_gh25286(self):
+        info = self.module.charint('T')
+        assert info == 2
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_common.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_common.py
new file mode 100644
index 0000000000000000000000000000000000000000..09bd6147f0f3e72fb0eaca4c9e60d8be2b5b2b57
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_common.py
@@ -0,0 +1,20 @@
+import pytest
+import numpy as np
+from . import util
+
+@pytest.mark.slow
+class TestCommonBlock(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "common", "block.f")]
+
+    def test_common_block(self):
+        self.module.initcb()
+        assert self.module.block.long_bn == np.array(1.0, dtype=np.float64)
+        assert self.module.block.string_bn == np.array("2", dtype="|S1")
+        assert self.module.block.ok == np.array(3, dtype=np.int32)
+
+
+class TestCommonWithUse(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "common", "gh19161.f90")]
+
+    def test_common_gh19161(self):
+        assert self.module.data.x == 0
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_crackfortran.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_crackfortran.py
new file mode 100644
index 0000000000000000000000000000000000000000..965a6b0f87e8005b22f2e205ffa0579dfaf62b08
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_crackfortran.py
@@ -0,0 +1,418 @@
+import importlib
+import time
+import pytest
+import numpy as np
+from numpy.f2py.crackfortran import markinnerspaces, nameargspattern
+from . import util
+from numpy.f2py import crackfortran
+import textwrap
+import contextlib
+import io
+
+
+class TestNoSpace(util.F2PyTest):
+    # issue gh-15035: add handling for endsubroutine, endfunction with no space
+    # between "end" and the block name
+    sources = [util.getpath("tests", "src", "crackfortran", "gh15035.f")]
+
+    def test_module(self):
+        k = np.array([1, 2, 3], dtype=np.float64)
+        w = np.array([1, 2, 3], dtype=np.float64)
+        self.module.subb(k)
+        assert np.allclose(k, w + 1)
+        self.module.subc([w, k])
+        assert np.allclose(k, w + 1)
+        assert self.module.t0("23") == b"2"
+
+
+class TestPublicPrivate:
+    def test_defaultPrivate(self):
+        fpath = util.getpath("tests", "src", "crackfortran", "privatemod.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        mod = mod[0]
+        assert "private" in mod["vars"]["a"]["attrspec"]
+        assert "public" not in mod["vars"]["a"]["attrspec"]
+        assert "private" in mod["vars"]["b"]["attrspec"]
+        assert "public" not in mod["vars"]["b"]["attrspec"]
+        assert "private" not in mod["vars"]["seta"]["attrspec"]
+        assert "public" in mod["vars"]["seta"]["attrspec"]
+
+    def test_defaultPublic(self, tmp_path):
+        fpath = util.getpath("tests", "src", "crackfortran", "publicmod.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        mod = mod[0]
+        assert "private" in mod["vars"]["a"]["attrspec"]
+        assert "public" not in mod["vars"]["a"]["attrspec"]
+        assert "private" not in mod["vars"]["seta"]["attrspec"]
+        assert "public" in mod["vars"]["seta"]["attrspec"]
+
+    def test_access_type(self, tmp_path):
+        fpath = util.getpath("tests", "src", "crackfortran", "accesstype.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        tt = mod[0]['vars']
+        assert set(tt['a']['attrspec']) == {'private', 'bind(c)'}
+        assert set(tt['b_']['attrspec']) == {'public', 'bind(c)'}
+        assert set(tt['c']['attrspec']) == {'public'}
+
+    def test_nowrap_private_proceedures(self, tmp_path):
+        fpath = util.getpath("tests", "src", "crackfortran", "gh23879.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        pyf = crackfortran.crack2fortran(mod)
+        assert 'bar' not in pyf
+
+class TestModuleProcedure:
+    def test_moduleOperators(self, tmp_path):
+        fpath = util.getpath("tests", "src", "crackfortran", "operators.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        mod = mod[0]
+        assert "body" in mod and len(mod["body"]) == 9
+        assert mod["body"][1]["name"] == "operator(.item.)"
+        assert "implementedby" in mod["body"][1]
+        assert mod["body"][1]["implementedby"] == \
+            ["item_int", "item_real"]
+        assert mod["body"][2]["name"] == "operator(==)"
+        assert "implementedby" in mod["body"][2]
+        assert mod["body"][2]["implementedby"] == ["items_are_equal"]
+        assert mod["body"][3]["name"] == "assignment(=)"
+        assert "implementedby" in mod["body"][3]
+        assert mod["body"][3]["implementedby"] == \
+            ["get_int", "get_real"]
+
+    def test_notPublicPrivate(self, tmp_path):
+        fpath = util.getpath("tests", "src", "crackfortran", "pubprivmod.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        mod = mod[0]
+        assert mod['vars']['a']['attrspec'] == ['private', ]
+        assert mod['vars']['b']['attrspec'] == ['public', ]
+        assert mod['vars']['seta']['attrspec'] == ['public', ]
+
+
+class TestExternal(util.F2PyTest):
+    # issue gh-17859: add external attribute support
+    sources = [util.getpath("tests", "src", "crackfortran", "gh17859.f")]
+
+    def test_external_as_statement(self):
+        def incr(x):
+            return x + 123
+
+        r = self.module.external_as_statement(incr)
+        assert r == 123
+
+    def test_external_as_attribute(self):
+        def incr(x):
+            return x + 123
+
+        r = self.module.external_as_attribute(incr)
+        assert r == 123
+
+
+class TestCrackFortran(util.F2PyTest):
+    # gh-2848: commented lines between parameters in subroutine parameter lists
+    sources = [util.getpath("tests", "src", "crackfortran", "gh2848.f90"),
+               util.getpath("tests", "src", "crackfortran", "common_with_division.f")
+              ]
+
+    def test_gh2848(self):
+        r = self.module.gh2848(1, 2)
+        assert r == (1, 2)
+
+    def test_common_with_division(self):
+        assert len(self.module.mortmp.ctmp) == 11
+
+class TestMarkinnerspaces:
+    # gh-14118: markinnerspaces does not handle multiple quotations
+
+    def test_do_not_touch_normal_spaces(self):
+        test_list = ["a ", " a", "a b c", "'abcdefghij'"]
+        for i in test_list:
+            assert markinnerspaces(i) == i
+
+    def test_one_relevant_space(self):
+        assert markinnerspaces("a 'b c' \\' \\'") == "a 'b@_@c' \\' \\'"
+        assert markinnerspaces(r'a "b c" \" \"') == r'a "b@_@c" \" \"'
+
+    def test_ignore_inner_quotes(self):
+        assert markinnerspaces("a 'b c\" \" d' e") == "a 'b@_@c\"@_@\"@_@d' e"
+        assert markinnerspaces("a \"b c' ' d\" e") == "a \"b@_@c'@_@'@_@d\" e"
+
+    def test_multiple_relevant_spaces(self):
+        assert markinnerspaces("a 'b c' 'd e'") == "a 'b@_@c' 'd@_@e'"
+        assert markinnerspaces(r'a "b c" "d e"') == r'a "b@_@c" "d@_@e"'
+
+
+class TestDimSpec(util.F2PyTest):
+    """This test suite tests various expressions that are used as dimension
+    specifications.
+
+    There exists two usage cases where analyzing dimensions
+    specifications are important.
+
+    In the first case, the size of output arrays must be defined based
+    on the inputs to a Fortran function. Because Fortran supports
+    arbitrary bases for indexing, for instance, `arr(lower:upper)`,
+    f2py has to evaluate an expression `upper - lower + 1` where
+    `lower` and `upper` are arbitrary expressions of input parameters.
+    The evaluation is performed in C, so f2py has to translate Fortran
+    expressions to valid C expressions (an alternative approach is
+    that a developer specifies the corresponding C expressions in a
+    .pyf file).
+
+    In the second case, when user provides an input array with a given
+    size but some hidden parameters used in dimensions specifications
+    need to be determined based on the input array size. This is a
+    harder problem because f2py has to solve the inverse problem: find
+    a parameter `p` such that `upper(p) - lower(p) + 1` equals to the
+    size of input array. In the case when this equation cannot be
+    solved (e.g. because the input array size is wrong), raise an
+    error before calling the Fortran function (that otherwise would
+    likely crash Python process when the size of input arrays is
+    wrong). f2py currently supports this case only when the equation
+    is linear with respect to unknown parameter.
+
+    """
+
+    suffix = ".f90"
+
+    code_template = textwrap.dedent("""
+      function get_arr_size_{count}(a, n) result (length)
+        integer, intent(in) :: n
+        integer, dimension({dimspec}), intent(out) :: a
+        integer length
+        length = size(a)
+      end function
+
+      subroutine get_inv_arr_size_{count}(a, n)
+        integer :: n
+        ! the value of n is computed in f2py wrapper
+        !f2py intent(out) n
+        integer, dimension({dimspec}), intent(in) :: a
+        if (a({first}).gt.0) then
+          ! print*, "a=", a
+        endif
+      end subroutine
+    """)
+
+    linear_dimspecs = [
+        "n", "2*n", "2:n", "n/2", "5 - n/2", "3*n:20", "n*(n+1):n*(n+5)",
+        "2*n, n"
+    ]
+    nonlinear_dimspecs = ["2*n:3*n*n+2*n"]
+    all_dimspecs = linear_dimspecs + nonlinear_dimspecs
+
+    code = ""
+    for count, dimspec in enumerate(all_dimspecs):
+        lst = [(d.split(":")[0] if ":" in d else "1") for d in dimspec.split(',')]
+        code += code_template.format(
+            count=count,
+            dimspec=dimspec,
+            first=", ".join(lst),
+        )
+
+    @pytest.mark.parametrize("dimspec", all_dimspecs)
+    @pytest.mark.slow
+    def test_array_size(self, dimspec):
+
+        count = self.all_dimspecs.index(dimspec)
+        get_arr_size = getattr(self.module, f"get_arr_size_{count}")
+
+        for n in [1, 2, 3, 4, 5]:
+            sz, a = get_arr_size(n)
+            assert a.size == sz
+
+    @pytest.mark.parametrize("dimspec", all_dimspecs)
+    def test_inv_array_size(self, dimspec):
+
+        count = self.all_dimspecs.index(dimspec)
+        get_arr_size = getattr(self.module, f"get_arr_size_{count}")
+        get_inv_arr_size = getattr(self.module, f"get_inv_arr_size_{count}")
+
+        for n in [1, 2, 3, 4, 5]:
+            sz, a = get_arr_size(n)
+            if dimspec in self.nonlinear_dimspecs:
+                # one must specify n as input, the call we'll ensure
+                # that a and n are compatible:
+                n1 = get_inv_arr_size(a, n)
+            else:
+                # in case of linear dependence, n can be determined
+                # from the shape of a:
+                n1 = get_inv_arr_size(a)
+            # n1 may be different from n (for instance, when `a` size
+            # is a function of some `n` fraction) but it must produce
+            # the same sized array
+            sz1, _ = get_arr_size(n1)
+            assert sz == sz1, (n, n1, sz, sz1)
+
+
+class TestModuleDeclaration:
+    def test_dependencies(self, tmp_path):
+        fpath = util.getpath("tests", "src", "crackfortran", "foo_deps.f90")
+        mod = crackfortran.crackfortran([str(fpath)])
+        assert len(mod) == 1
+        assert mod[0]["vars"]["abar"]["="] == "bar('abar')"
+
+
+class TestEval(util.F2PyTest):
+    def test_eval_scalar(self):
+        eval_scalar = crackfortran._eval_scalar
+
+        assert eval_scalar('123', {}) == '123'
+        assert eval_scalar('12 + 3', {}) == '15'
+        assert eval_scalar('a + b', dict(a=1, b=2)) == '3'
+        assert eval_scalar('"123"', {}) == "'123'"
+
+
+class TestFortranReader(util.F2PyTest):
+    @pytest.mark.parametrize("encoding",
+                             ['ascii', 'utf-8', 'utf-16', 'utf-32'])
+    def test_input_encoding(self, tmp_path, encoding):
+        # gh-635
+        f_path = tmp_path / f"input_with_{encoding}_encoding.f90"
+        with f_path.open('w', encoding=encoding) as ff:
+            ff.write("""
+                     subroutine foo()
+                     end subroutine foo
+                     """)
+        mod = crackfortran.crackfortran([str(f_path)])
+        assert mod[0]['name'] == 'foo'
+
+
+@pytest.mark.slow
+class TestUnicodeComment(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "crackfortran", "unicode_comment.f90")]
+
+    @pytest.mark.skipif(
+        (importlib.util.find_spec("charset_normalizer") is None),
+        reason="test requires charset_normalizer which is not installed",
+    )
+    def test_encoding_comment(self):
+        self.module.foo(3)
+
+
+class TestNameArgsPatternBacktracking:
+    @pytest.mark.parametrize(
+        ['adversary'],
+        [
+            ('@)@bind@(@',),
+            ('@)@bind                         @(@',),
+            ('@)@bind foo bar baz@(@',)
+        ]
+    )
+    def test_nameargspattern_backtracking(self, adversary):
+        '''address ReDOS vulnerability:
+        https://github.com/numpy/numpy/issues/23338'''
+        trials_per_batch = 12
+        batches_per_regex = 4
+        start_reps, end_reps = 15, 25
+        for ii in range(start_reps, end_reps):
+            repeated_adversary = adversary * ii
+            # test times in small batches.
+            # this gives us more chances to catch a bad regex
+            # while still catching it before too long if it is bad
+            for _ in range(batches_per_regex):
+                times = []
+                for _ in range(trials_per_batch):
+                    t0 = time.perf_counter()
+                    mtch = nameargspattern.search(repeated_adversary)
+                    times.append(time.perf_counter() - t0)
+                # our pattern should be much faster than 0.2s per search
+                # it's unlikely that a bad regex will pass even on fast CPUs
+                assert np.median(times) < 0.2
+            assert not mtch
+            # if the adversary is capped with @)@, it becomes acceptable
+            # according to the old version of the regex.
+            # that should still be true.
+            good_version_of_adversary = repeated_adversary + '@)@'
+            assert nameargspattern.search(good_version_of_adversary)
+
+class TestFunctionReturn(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "crackfortran", "gh23598.f90")]
+
+    @pytest.mark.slow
+    def test_function_rettype(self):
+        # gh-23598
+        assert self.module.intproduct(3, 4) == 12
+
+
+class TestFortranGroupCounters(util.F2PyTest):
+    def test_end_if_comment(self):
+        # gh-23533
+        fpath = util.getpath("tests", "src", "crackfortran", "gh23533.f")
+        try:
+            crackfortran.crackfortran([str(fpath)])
+        except Exception as exc:
+            assert False, f"'crackfortran.crackfortran' raised an exception {exc}"
+
+
+class TestF77CommonBlockReader:
+    def test_gh22648(self, tmp_path):
+        fpath = util.getpath("tests", "src", "crackfortran", "gh22648.pyf")
+        with contextlib.redirect_stdout(io.StringIO()) as stdout_f2py:
+            mod = crackfortran.crackfortran([str(fpath)])
+        assert "Mismatch" not in stdout_f2py.getvalue()
+
+class TestParamEval:
+    # issue gh-11612, array parameter parsing
+    def test_param_eval_nested(self):
+        v = '(/3.14, 4./)'
+        g_params = dict(kind=crackfortran._kind_func,
+                selected_int_kind=crackfortran._selected_int_kind_func,
+                selected_real_kind=crackfortran._selected_real_kind_func)
+        params = {'dp': 8, 'intparamarray': {1: 3, 2: 5},
+                  'nested': {1: 1, 2: 2, 3: 3}}
+        dimspec = '(2)'
+        ret = crackfortran.param_eval(v, g_params, params, dimspec=dimspec)
+        assert ret == {1: 3.14, 2: 4.0}
+
+    def test_param_eval_nonstandard_range(self):
+        v = '(/ 6, 3, 1 /)'
+        g_params = dict(kind=crackfortran._kind_func,
+                selected_int_kind=crackfortran._selected_int_kind_func,
+                selected_real_kind=crackfortran._selected_real_kind_func)
+        params = {}
+        dimspec = '(-1:1)'
+        ret = crackfortran.param_eval(v, g_params, params, dimspec=dimspec)
+        assert ret == {-1: 6, 0: 3, 1: 1}
+
+    def test_param_eval_empty_range(self):
+        v = '6'
+        g_params = dict(kind=crackfortran._kind_func,
+                selected_int_kind=crackfortran._selected_int_kind_func,
+                selected_real_kind=crackfortran._selected_real_kind_func)
+        params = {}
+        dimspec = ''
+        pytest.raises(ValueError, crackfortran.param_eval, v, g_params, params,
+                      dimspec=dimspec)
+
+    def test_param_eval_non_array_param(self):
+        v = '3.14_dp'
+        g_params = dict(kind=crackfortran._kind_func,
+                selected_int_kind=crackfortran._selected_int_kind_func,
+                selected_real_kind=crackfortran._selected_real_kind_func)
+        params = {}
+        ret = crackfortran.param_eval(v, g_params, params, dimspec=None)
+        assert ret == '3.14_dp'
+
+    def test_param_eval_too_many_dims(self):
+        v = 'reshape((/ (i, i=1, 250) /), (/5, 10, 5/))'
+        g_params = dict(kind=crackfortran._kind_func,
+                selected_int_kind=crackfortran._selected_int_kind_func,
+                selected_real_kind=crackfortran._selected_real_kind_func)
+        params = {}
+        dimspec = '(0:4, 3:12, 5)'
+        pytest.raises(ValueError, crackfortran.param_eval, v, g_params, params,
+                      dimspec=dimspec)
+
+@pytest.mark.slow
+class TestLowerF2PYDirective(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "crackfortran", "gh27697.f90")]
+    options = ['--lower']
+
+    def test_no_lower_fail(self):
+        with pytest.raises(ValueError, match='aborting directly') as exc:
+            self.module.utils.my_abort('aborting directly')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_data.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_data.py
new file mode 100644
index 0000000000000000000000000000000000000000..e2a425084a55198adc3075cbb11347334b08ed76
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_data.py
@@ -0,0 +1,70 @@
+import pytest
+import numpy as np
+
+from . import util
+from numpy.f2py.crackfortran import crackfortran
+
+
+class TestData(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "crackfortran", "data_stmts.f90")]
+
+    # For gh-23276
+    @pytest.mark.slow
+    def test_data_stmts(self):
+        assert self.module.cmplxdat.i == 2
+        assert self.module.cmplxdat.j == 3
+        assert self.module.cmplxdat.x == 1.5
+        assert self.module.cmplxdat.y == 2.0
+        assert self.module.cmplxdat.pi == 3.1415926535897932384626433832795028841971693993751058209749445923078164062
+        assert self.module.cmplxdat.medium_ref_index == np.array(1.+0.j)
+        assert np.all(self.module.cmplxdat.z == np.array([3.5, 7.0]))
+        assert np.all(self.module.cmplxdat.my_array == np.array([ 1.+2.j, -3.+4.j]))
+        assert np.all(self.module.cmplxdat.my_real_array == np.array([ 1., 2., 3.]))
+        assert np.all(self.module.cmplxdat.ref_index_one == np.array([13.0 + 21.0j]))
+        assert np.all(self.module.cmplxdat.ref_index_two == np.array([-30.0 + 43.0j]))
+
+    def test_crackedlines(self):
+        mod = crackfortran(self.sources)
+        assert mod[0]['vars']['x']['='] == '1.5'
+        assert mod[0]['vars']['y']['='] == '2.0'
+        assert mod[0]['vars']['pi']['='] == '3.1415926535897932384626433832795028841971693993751058209749445923078164062d0'
+        assert mod[0]['vars']['my_real_array']['='] == '(/1.0d0, 2.0d0, 3.0d0/)'
+        assert mod[0]['vars']['ref_index_one']['='] == '(13.0d0, 21.0d0)'
+        assert mod[0]['vars']['ref_index_two']['='] == '(-30.0d0, 43.0d0)'
+        assert mod[0]['vars']['my_array']['='] == '(/(1.0d0, 2.0d0), (-3.0d0, 4.0d0)/)'
+        assert mod[0]['vars']['z']['='] == '(/3.5,  7.0/)'
+
+class TestDataF77(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "crackfortran", "data_common.f")]
+
+    # For gh-23276
+    def test_data_stmts(self):
+        assert self.module.mycom.mydata == 0
+
+    def test_crackedlines(self):
+        mod = crackfortran(str(self.sources[0]))
+        print(mod[0]['vars'])
+        assert mod[0]['vars']['mydata']['='] == '0'
+
+
+class TestDataMultiplierF77(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "crackfortran", "data_multiplier.f")]
+
+    # For gh-23276
+    def test_data_stmts(self):
+        assert self.module.mycom.ivar1 == 3
+        assert self.module.mycom.ivar2 == 3
+        assert self.module.mycom.ivar3 == 2
+        assert self.module.mycom.ivar4 == 2
+        assert self.module.mycom.evar5 == 0
+
+
+class TestDataWithCommentsF77(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "crackfortran", "data_with_comments.f")]
+
+    # For gh-23276
+    def test_data_stmts(self):
+        assert len(self.module.mycom.mytab) == 3
+        assert self.module.mycom.mytab[0] == 0
+        assert self.module.mycom.mytab[1] == 4
+        assert self.module.mycom.mytab[2] == 0
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_docs.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_docs.py
new file mode 100644
index 0000000000000000000000000000000000000000..efba7ea40ee661b4e42a05766504d378bcf3d7e2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_docs.py
@@ -0,0 +1,59 @@
+import pytest
+import numpy as np
+from numpy.testing import assert_array_equal, assert_equal
+from . import util
+from pathlib import Path
+
+def get_docdir():
+    parents = Path(__file__).resolve().parents
+    try:
+        # Assumes that spin is used to run tests
+        nproot = parents[8]
+    except IndexError:
+        docdir = None
+    else:
+        docdir = nproot / "doc" / "source" / "f2py" / "code"
+    if docdir and docdir.is_dir():
+        return docdir
+    # Assumes that an editable install is used to run tests
+    return parents[3] / "doc" / "source" / "f2py" / "code"
+
+pytestmark = pytest.mark.skipif(
+    not get_docdir().is_dir(),
+    reason=f"Could not find f2py documentation sources"
+    f"({get_docdir()} does not exist)",
+)
+
+def _path(*args):
+    return get_docdir().joinpath(*args)
+
+@pytest.mark.slow
+class TestDocAdvanced(util.F2PyTest):
+    # options = ['--debug-capi', '--build-dir', '/tmp/build-f2py']
+    sources = [_path('asterisk1.f90'), _path('asterisk2.f90'),
+               _path('ftype.f')]
+
+    def test_asterisk1(self):
+        foo = self.module.foo1
+        assert_equal(foo(), b'123456789A12')
+
+    def test_asterisk2(self):
+        foo = self.module.foo2
+        assert_equal(foo(2), b'12')
+        assert_equal(foo(12), b'123456789A12')
+        assert_equal(foo(20), b'123456789A123456789B')
+
+    def test_ftype(self):
+        ftype = self.module
+        ftype.foo()
+        assert_equal(ftype.data.a, 0)
+        ftype.data.a = 3
+        ftype.data.x = [1, 2, 3]
+        assert_equal(ftype.data.a, 3)
+        assert_array_equal(ftype.data.x,
+                           np.array([1, 2, 3], dtype=np.float32))
+        ftype.data.x[1] = 45
+        assert_array_equal(ftype.data.x,
+                           np.array([1, 45, 3], dtype=np.float32))
+
+    # TODO: implement test methods for other example Fortran codes
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_f2cmap.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_f2cmap.py
new file mode 100644
index 0000000000000000000000000000000000000000..6596ada33a5454398427f3b605862dd1bae9cab4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_f2cmap.py
@@ -0,0 +1,15 @@
+from . import util
+import numpy as np
+
+class TestF2Cmap(util.F2PyTest):
+    sources = [
+        util.getpath("tests", "src", "f2cmap", "isoFortranEnvMap.f90"),
+        util.getpath("tests", "src", "f2cmap", ".f2py_f2cmap")
+    ]
+
+    # gh-15095
+    def test_gh15095(self):
+        inp = np.ones(3)
+        out = self.module.func1(inp)
+        exp_out = 3
+        assert out == exp_out
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_f2py2e.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_f2py2e.py
new file mode 100644
index 0000000000000000000000000000000000000000..3f321418f403ff628b859e3037fdd3e0f6bbd320
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_f2py2e.py
@@ -0,0 +1,964 @@
+import re
+import shlex
+import subprocess
+import sys
+import textwrap
+from pathlib import Path
+from collections import namedtuple
+
+import platform
+
+import pytest
+
+from . import util
+from numpy.f2py.f2py2e import main as f2pycli
+from numpy.testing._private.utils import NOGIL_BUILD
+
+#######################
+# F2PY Test utilities #
+######################
+
+# Tests for CLI commands which call meson will fail if no compilers are present, these are to be skipped
+
+def compiler_check_f2pycli():
+    if not util.has_fortran_compiler():
+        pytest.skip("CLI command needs a Fortran compiler")
+    else:
+        f2pycli()
+
+#########################
+# CLI utils and classes #
+#########################
+
+PPaths = namedtuple("PPaths", "finp, f90inp, pyf, wrap77, wrap90, cmodf")
+
+
+def get_io_paths(fname_inp, mname="untitled"):
+    """Takes in a temporary file for testing and returns the expected output and input paths
+
+    Here expected output is essentially one of any of the possible generated
+    files.
+
+    ..note::
+
+         Since this does not actually run f2py, none of these are guaranteed to
+         exist, and module names are typically incorrect
+
+    Parameters
+    ----------
+    fname_inp : str
+                The input filename
+    mname : str, optional
+                The name of the module, untitled by default
+
+    Returns
+    -------
+    genp : NamedTuple PPaths
+            The possible paths which are generated, not all of which exist
+    """
+    bpath = Path(fname_inp)
+    return PPaths(
+        finp=bpath.with_suffix(".f"),
+        f90inp=bpath.with_suffix(".f90"),
+        pyf=bpath.with_suffix(".pyf"),
+        wrap77=bpath.with_name(f"{mname}-f2pywrappers.f"),
+        wrap90=bpath.with_name(f"{mname}-f2pywrappers2.f90"),
+        cmodf=bpath.with_name(f"{mname}module.c"),
+    )
+
+
+################
+# CLI Fixtures #
+################
+
+
+@pytest.fixture(scope="session")
+def hello_world_f90(tmpdir_factory):
+    """Generates a single f90 file for testing"""
+    fdat = util.getpath("tests", "src", "cli", "hiworld.f90").read_text()
+    fn = tmpdir_factory.getbasetemp() / "hello.f90"
+    fn.write_text(fdat, encoding="ascii")
+    return fn
+
+
+@pytest.fixture(scope="session")
+def gh23598_warn(tmpdir_factory):
+    """F90 file for testing warnings in gh23598"""
+    fdat = util.getpath("tests", "src", "crackfortran", "gh23598Warn.f90").read_text()
+    fn = tmpdir_factory.getbasetemp() / "gh23598Warn.f90"
+    fn.write_text(fdat, encoding="ascii")
+    return fn
+
+
+@pytest.fixture(scope="session")
+def gh22819_cli(tmpdir_factory):
+    """F90 file for testing disallowed CLI arguments in ghff819"""
+    fdat = util.getpath("tests", "src", "cli", "gh_22819.pyf").read_text()
+    fn = tmpdir_factory.getbasetemp() / "gh_22819.pyf"
+    fn.write_text(fdat, encoding="ascii")
+    return fn
+
+
+@pytest.fixture(scope="session")
+def hello_world_f77(tmpdir_factory):
+    """Generates a single f77 file for testing"""
+    fdat = util.getpath("tests", "src", "cli", "hi77.f").read_text()
+    fn = tmpdir_factory.getbasetemp() / "hello.f"
+    fn.write_text(fdat, encoding="ascii")
+    return fn
+
+
+@pytest.fixture(scope="session")
+def retreal_f77(tmpdir_factory):
+    """Generates a single f77 file for testing"""
+    fdat = util.getpath("tests", "src", "return_real", "foo77.f").read_text()
+    fn = tmpdir_factory.getbasetemp() / "foo.f"
+    fn.write_text(fdat, encoding="ascii")
+    return fn
+
+@pytest.fixture(scope="session")
+def f2cmap_f90(tmpdir_factory):
+    """Generates a single f90 file for testing"""
+    fdat = util.getpath("tests", "src", "f2cmap", "isoFortranEnvMap.f90").read_text()
+    f2cmap = util.getpath("tests", "src", "f2cmap", ".f2py_f2cmap").read_text()
+    fn = tmpdir_factory.getbasetemp() / "f2cmap.f90"
+    fmap = tmpdir_factory.getbasetemp() / "mapfile"
+    fn.write_text(fdat, encoding="ascii")
+    fmap.write_text(f2cmap, encoding="ascii")
+    return fn
+
+#########
+# Tests #
+#########
+
+def test_gh22819_cli(capfd, gh22819_cli, monkeypatch):
+    """Check that module names are handled correctly
+    gh-22819
+    Essentially, the -m name cannot be used to import the module, so the module
+    named in the .pyf needs to be used instead
+
+    CLI :: -m and a .pyf file
+    """
+    ipath = Path(gh22819_cli)
+    monkeypatch.setattr(sys, "argv", f"f2py -m blah {ipath}".split())
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        gen_paths = [item.name for item in ipath.parent.rglob("*") if item.is_file()]
+        assert "blahmodule.c" not in gen_paths # shouldn't be generated
+        assert "blah-f2pywrappers.f" not in gen_paths
+        assert "test_22819-f2pywrappers.f" in gen_paths
+        assert "test_22819module.c" in gen_paths
+        assert "Ignoring blah"
+
+
+def test_gh22819_many_pyf(capfd, gh22819_cli, monkeypatch):
+    """Only one .pyf file allowed
+    gh-22819
+    CLI :: .pyf files
+    """
+    ipath = Path(gh22819_cli)
+    monkeypatch.setattr(sys, "argv", f"f2py -m blah {ipath} hello.pyf".split())
+    with util.switchdir(ipath.parent):
+        with pytest.raises(ValueError, match="Only one .pyf file per call"):
+            f2pycli()
+
+
+def test_gh23598_warn(capfd, gh23598_warn, monkeypatch):
+    foutl = get_io_paths(gh23598_warn, mname="test")
+    ipath = foutl.f90inp
+    monkeypatch.setattr(
+        sys, "argv",
+        f'f2py {ipath} -m test'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()  # Generate files
+        wrapper = foutl.wrap90.read_text()
+        assert "intproductf2pywrap, intpr" not in wrapper
+
+
+def test_gen_pyf(capfd, hello_world_f90, monkeypatch):
+    """Ensures that a signature file is generated via the CLI
+    CLI :: -h
+    """
+    ipath = Path(hello_world_f90)
+    opath = Path(hello_world_f90).stem + ".pyf"
+    monkeypatch.setattr(sys, "argv", f'f2py -h {opath} {ipath}'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()  # Generate wrappers
+        out, _ = capfd.readouterr()
+        assert "Saving signatures to file" in out
+        assert Path(f'{opath}').exists()
+
+
+def test_gen_pyf_stdout(capfd, hello_world_f90, monkeypatch):
+    """Ensures that a signature file can be dumped to stdout
+    CLI :: -h
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -h stdout {ipath}'.split())
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Saving signatures to file" in out
+        assert "function hi() ! in " in out
+
+
+def test_gen_pyf_no_overwrite(capfd, hello_world_f90, monkeypatch):
+    """Ensures that the CLI refuses to overwrite signature files
+    CLI :: -h without --overwrite-signature
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -h faker.pyf {ipath}'.split())
+
+    with util.switchdir(ipath.parent):
+        Path("faker.pyf").write_text("Fake news", encoding="ascii")
+        with pytest.raises(SystemExit):
+            f2pycli()  # Refuse to overwrite
+            _, err = capfd.readouterr()
+            assert "Use --overwrite-signature to overwrite" in err
+
+
+@pytest.mark.skipif(sys.version_info <= (3, 12), reason="Python 3.12 required")
+def test_untitled_cli(capfd, hello_world_f90, monkeypatch):
+    """Check that modules are named correctly
+
+    CLI :: defaults
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f"f2py --backend meson -c {ipath}".split())
+    with util.switchdir(ipath.parent):
+        compiler_check_f2pycli()
+        out, _ = capfd.readouterr()
+        assert "untitledmodule.c" in out
+
+
+@pytest.mark.skipif((platform.system() != 'Linux') or (sys.version_info <= (3, 12)), reason='Compiler and 3.12 required')
+def test_no_py312_distutils_fcompiler(capfd, hello_world_f90, monkeypatch):
+    """Check that no distutils imports are performed on 3.12
+    CLI :: --fcompiler --help-link --backend distutils
+    """
+    MNAME = "hi"
+    foutl = get_io_paths(hello_world_f90, mname=MNAME)
+    ipath = foutl.f90inp
+    monkeypatch.setattr(
+        sys, "argv", f"f2py {ipath} -c --fcompiler=gfortran -m {MNAME}".split()
+    )
+    with util.switchdir(ipath.parent):
+        compiler_check_f2pycli()
+        out, _ = capfd.readouterr()
+        assert "--fcompiler cannot be used with meson" in out
+    monkeypatch.setattr(
+        sys, "argv", "f2py --help-link".split()
+    )
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Use --dep for meson builds" in out
+    MNAME = "hi2" # Needs to be different for a new -c
+    monkeypatch.setattr(
+        sys, "argv", f"f2py {ipath} -c -m {MNAME} --backend distutils".split()
+    )
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Cannot use distutils backend with Python>=3.12" in out
+
+
+@pytest.mark.xfail
+def test_f2py_skip(capfd, retreal_f77, monkeypatch):
+    """Tests that functions can be skipped
+    CLI :: skip:
+    """
+    foutl = get_io_paths(retreal_f77, mname="test")
+    ipath = foutl.finp
+    toskip = "t0 t4 t8 sd s8 s4"
+    remaining = "td s0"
+    monkeypatch.setattr(
+        sys, "argv",
+        f'f2py {ipath} -m test skip: {toskip}'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, err = capfd.readouterr()
+        for skey in toskip.split():
+            assert (
+                f'buildmodule: Could not found the body of interfaced routine "{skey}". Skipping.'
+                in err)
+        for rkey in remaining.split():
+            assert f'Constructing wrapper function "{rkey}"' in out
+
+
+def test_f2py_only(capfd, retreal_f77, monkeypatch):
+    """Test that functions can be kept by only:
+    CLI :: only:
+    """
+    foutl = get_io_paths(retreal_f77, mname="test")
+    ipath = foutl.finp
+    toskip = "t0 t4 t8 sd s8 s4"
+    tokeep = "td s0"
+    monkeypatch.setattr(
+        sys, "argv",
+        f'f2py {ipath} -m test only: {tokeep}'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, err = capfd.readouterr()
+        for skey in toskip.split():
+            assert (
+                f'buildmodule: Could not find the body of interfaced routine "{skey}". Skipping.'
+                in err)
+        for rkey in tokeep.split():
+            assert f'Constructing wrapper function "{rkey}"' in out
+
+
+def test_file_processing_switch(capfd, hello_world_f90, retreal_f77,
+                                monkeypatch):
+    """Tests that it is possible to return to file processing mode
+    CLI :: :
+    BUG: numpy-gh #20520
+    """
+    foutl = get_io_paths(retreal_f77, mname="test")
+    ipath = foutl.finp
+    toskip = "t0 t4 t8 sd s8 s4"
+    ipath2 = Path(hello_world_f90)
+    tokeep = "td s0 hi"  # hi is in ipath2
+    mname = "blah"
+    monkeypatch.setattr(
+        sys,
+        "argv",
+        f'f2py {ipath} -m {mname} only: {tokeep} : {ipath2}'.split(
+        ),
+    )
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, err = capfd.readouterr()
+        for skey in toskip.split():
+            assert (
+                f'buildmodule: Could not find the body of interfaced routine "{skey}". Skipping.'
+                in err)
+        for rkey in tokeep.split():
+            assert f'Constructing wrapper function "{rkey}"' in out
+
+
+def test_mod_gen_f77(capfd, hello_world_f90, monkeypatch):
+    """Checks the generation of files based on a module name
+    CLI :: -m
+    """
+    MNAME = "hi"
+    foutl = get_io_paths(hello_world_f90, mname=MNAME)
+    ipath = foutl.f90inp
+    monkeypatch.setattr(sys, "argv", f'f2py {ipath} -m {MNAME}'.split())
+    with util.switchdir(ipath.parent):
+        f2pycli()
+
+    # Always generate C module
+    assert Path.exists(foutl.cmodf)
+    # File contains a function, check for F77 wrappers
+    assert Path.exists(foutl.wrap77)
+
+
+def test_mod_gen_gh25263(capfd, hello_world_f77, monkeypatch):
+    """Check that pyf files are correctly generated with module structure
+    CLI :: -m  -h pyf_file
+    BUG: numpy-gh #20520
+    """
+    MNAME = "hi"
+    foutl = get_io_paths(hello_world_f77, mname=MNAME)
+    ipath = foutl.finp
+    monkeypatch.setattr(sys, "argv", f'f2py {ipath} -m {MNAME} -h hi.pyf'.split())
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        with Path('hi.pyf').open() as hipyf:
+            pyfdat = hipyf.read()
+            assert "python module hi" in pyfdat
+
+
+def test_lower_cmod(capfd, hello_world_f77, monkeypatch):
+    """Lowers cases by flag or when -h is present
+
+    CLI :: --[no-]lower
+    """
+    foutl = get_io_paths(hello_world_f77, mname="test")
+    ipath = foutl.finp
+    capshi = re.compile(r"HI\(\)")
+    capslo = re.compile(r"hi\(\)")
+    # Case I: --lower is passed
+    monkeypatch.setattr(sys, "argv", f'f2py {ipath} -m test --lower'.split())
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert capslo.search(out) is not None
+        assert capshi.search(out) is None
+    # Case II: --no-lower is passed
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py {ipath} -m test --no-lower'.split())
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert capslo.search(out) is None
+        assert capshi.search(out) is not None
+
+
+def test_lower_sig(capfd, hello_world_f77, monkeypatch):
+    """Lowers cases in signature files by flag or when -h is present
+
+    CLI :: --[no-]lower -h
+    """
+    foutl = get_io_paths(hello_world_f77, mname="test")
+    ipath = foutl.finp
+    # Signature files
+    capshi = re.compile(r"Block: HI")
+    capslo = re.compile(r"Block: hi")
+    # Case I: --lower is implied by -h
+    # TODO: Clean up to prevent passing --overwrite-signature
+    monkeypatch.setattr(
+        sys,
+        "argv",
+        f'f2py {ipath} -h {foutl.pyf} -m test --overwrite-signature'.split(),
+    )
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert capslo.search(out) is not None
+        assert capshi.search(out) is None
+
+    # Case II: --no-lower overrides -h
+    monkeypatch.setattr(
+        sys,
+        "argv",
+        f'f2py {ipath} -h {foutl.pyf} -m test --overwrite-signature --no-lower'
+        .split(),
+    )
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert capslo.search(out) is None
+        assert capshi.search(out) is not None
+
+
+def test_build_dir(capfd, hello_world_f90, monkeypatch):
+    """Ensures that the build directory can be specified
+
+    CLI :: --build-dir
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    odir = "tttmp"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --build-dir {odir}'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert f"Wrote C/API module \"{mname}\"" in out
+
+
+def test_overwrite(capfd, hello_world_f90, monkeypatch):
+    """Ensures that the build directory can be specified
+
+    CLI :: --overwrite-signature
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(
+        sys, "argv",
+        f'f2py -h faker.pyf {ipath} --overwrite-signature'.split())
+
+    with util.switchdir(ipath.parent):
+        Path("faker.pyf").write_text("Fake news", encoding="ascii")
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Saving signatures to file" in out
+
+
+def test_latexdoc(capfd, hello_world_f90, monkeypatch):
+    """Ensures that TeX documentation is written out
+
+    CLI :: --latex-doc
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --latex-doc'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Documentation is saved to file" in out
+        with Path(f"{mname}module.tex").open() as otex:
+            assert "\\documentclass" in otex.read()
+
+
+def test_nolatexdoc(capfd, hello_world_f90, monkeypatch):
+    """Ensures that TeX documentation is written out
+
+    CLI :: --no-latex-doc
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --no-latex-doc'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Documentation is saved to file" not in out
+
+
+def test_shortlatex(capfd, hello_world_f90, monkeypatch):
+    """Ensures that truncated documentation is written out
+
+    TODO: Test to ensure this has no effect without --latex-doc
+    CLI :: --latex-doc --short-latex
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(
+        sys,
+        "argv",
+        f'f2py -m {mname} {ipath} --latex-doc --short-latex'.split(),
+    )
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Documentation is saved to file" in out
+        with Path(f"./{mname}module.tex").open() as otex:
+            assert "\\documentclass" not in otex.read()
+
+
+def test_restdoc(capfd, hello_world_f90, monkeypatch):
+    """Ensures that RsT documentation is written out
+
+    CLI :: --rest-doc
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --rest-doc'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "ReST Documentation is saved to file" in out
+        with Path(f"./{mname}module.rest").open() as orst:
+            assert r".. -*- rest -*-" in orst.read()
+
+
+def test_norestexdoc(capfd, hello_world_f90, monkeypatch):
+    """Ensures that TeX documentation is written out
+
+    CLI :: --no-rest-doc
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --no-rest-doc'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "ReST Documentation is saved to file" not in out
+
+
+def test_debugcapi(capfd, hello_world_f90, monkeypatch):
+    """Ensures that debugging wrappers are written
+
+    CLI :: --debug-capi
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --debug-capi'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        with Path(f"./{mname}module.c").open() as ocmod:
+            assert r"#define DEBUGCFUNCS" in ocmod.read()
+
+
+@pytest.mark.skip(reason="Consistently fails on CI; noisy so skip not xfail.")
+def test_debugcapi_bld(hello_world_f90, monkeypatch):
+    """Ensures that debugging wrappers work
+
+    CLI :: --debug-capi -c
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} -c --debug-capi'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        cmd_run = shlex.split(f"{sys.executable} -c \"import blah; blah.hi()\"")
+        rout = subprocess.run(cmd_run, capture_output=True, encoding='UTF-8')
+        eout = ' Hello World\n'
+        eerr = textwrap.dedent("""\
+debug-capi:Python C/API function blah.hi()
+debug-capi:float hi=:output,hidden,scalar
+debug-capi:hi=0
+debug-capi:Fortran subroutine `f2pywraphi(&hi)'
+debug-capi:hi=0
+debug-capi:Building return value.
+debug-capi:Python C/API function blah.hi: successful.
+debug-capi:Freeing memory.
+        """)
+        assert rout.stdout == eout
+        assert rout.stderr == eerr
+
+
+def test_wrapfunc_def(capfd, hello_world_f90, monkeypatch):
+    """Ensures that fortran subroutine wrappers for F77 are included by default
+
+    CLI :: --[no]-wrap-functions
+    """
+    # Implied
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv", f'f2py -m {mname} {ipath}'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+    out, _ = capfd.readouterr()
+    assert r"Fortran 77 wrappers are saved to" in out
+
+    # Explicit
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --wrap-functions'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert r"Fortran 77 wrappers are saved to" in out
+
+
+def test_nowrapfunc(capfd, hello_world_f90, monkeypatch):
+    """Ensures that fortran subroutine wrappers for F77 can be disabled
+
+    CLI :: --no-wrap-functions
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(sys, "argv",
+                        f'f2py -m {mname} {ipath} --no-wrap-functions'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert r"Fortran 77 wrappers are saved to" not in out
+
+
+def test_inclheader(capfd, hello_world_f90, monkeypatch):
+    """Add to the include directories
+
+    CLI :: -include
+    TODO: Document this in the help string
+    """
+    ipath = Path(hello_world_f90)
+    mname = "blah"
+    monkeypatch.setattr(
+        sys,
+        "argv",
+        f'f2py -m {mname} {ipath} -include -include '.
+        split(),
+    )
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        with Path(f"./{mname}module.c").open() as ocmod:
+            ocmr = ocmod.read()
+            assert "#include " in ocmr
+            assert "#include " in ocmr
+
+
+def test_inclpath():
+    """Add to the include directories
+
+    CLI :: --include-paths
+    """
+    # TODO: populate
+    pass
+
+
+def test_hlink():
+    """Add to the include directories
+
+    CLI :: --help-link
+    """
+    # TODO: populate
+    pass
+
+
+def test_f2cmap(capfd, f2cmap_f90, monkeypatch):
+    """Check that Fortran-to-Python KIND specs can be passed
+
+    CLI :: --f2cmap
+    """
+    ipath = Path(f2cmap_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -m blah {ipath} --f2cmap mapfile'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "Reading f2cmap from 'mapfile' ..." in out
+        assert "Mapping \"real(kind=real32)\" to \"float\"" in out
+        assert "Mapping \"real(kind=real64)\" to \"double\"" in out
+        assert "Mapping \"integer(kind=int64)\" to \"long_long\"" in out
+        assert "Successfully applied user defined f2cmap changes" in out
+
+
+def test_quiet(capfd, hello_world_f90, monkeypatch):
+    """Reduce verbosity
+
+    CLI :: --quiet
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -m blah {ipath} --quiet'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert len(out) == 0
+
+
+def test_verbose(capfd, hello_world_f90, monkeypatch):
+    """Increase verbosity
+
+    CLI :: --verbose
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -m blah {ipath} --verbose'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        assert "analyzeline" in out
+
+
+def test_version(capfd, monkeypatch):
+    """Ensure version
+
+    CLI :: -v
+    """
+    monkeypatch.setattr(sys, "argv", 'f2py -v'.split())
+    # TODO: f2py2e should not call sys.exit() after printing the version
+    with pytest.raises(SystemExit):
+        f2pycli()
+        out, _ = capfd.readouterr()
+        import numpy as np
+        assert np.__version__ == out.strip()
+
+
+@pytest.mark.skip(reason="Consistently fails on CI; noisy so skip not xfail.")
+def test_npdistop(hello_world_f90, monkeypatch):
+    """
+    CLI :: -c
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -m blah {ipath} -c'.split())
+
+    with util.switchdir(ipath.parent):
+        f2pycli()
+        cmd_run = shlex.split(f"{sys.executable} -c \"import blah; blah.hi()\"")
+        rout = subprocess.run(cmd_run, capture_output=True, encoding='UTF-8')
+        eout = ' Hello World\n'
+        assert rout.stdout == eout
+
+
+@pytest.mark.skipif((platform.system() != 'Linux') or sys.version_info <= (3, 12),
+                    reason='Compiler and Python 3.12 or newer required')
+def test_no_freethreading_compatible(hello_world_f90, monkeypatch):
+    """
+    CLI :: --no-freethreading-compatible
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -m blah {ipath} -c --no-freethreading-compatible'.split())
+
+    with util.switchdir(ipath.parent):
+        compiler_check_f2pycli()
+        cmd = f"{sys.executable} -c \"import blah; blah.hi();"
+        if NOGIL_BUILD:
+            cmd += "import sys; assert sys._is_gil_enabled() is True\""
+        else:
+            cmd += "\""
+        cmd_run = shlex.split(cmd)
+        rout = subprocess.run(cmd_run, capture_output=True, encoding='UTF-8')
+        eout = ' Hello World\n'
+        assert rout.stdout == eout
+        if NOGIL_BUILD:
+            assert "The global interpreter lock (GIL) has been enabled to load module 'blah'" in rout.stderr
+        assert rout.returncode == 0
+
+
+@pytest.mark.skipif((platform.system() != 'Linux') or sys.version_info <= (3, 12),
+                    reason='Compiler and Python 3.12 or newer required')
+def test_freethreading_compatible(hello_world_f90, monkeypatch):
+    """
+    CLI :: --freethreading_compatible
+    """
+    ipath = Path(hello_world_f90)
+    monkeypatch.setattr(sys, "argv", f'f2py -m blah {ipath} -c --freethreading-compatible'.split())
+
+    with util.switchdir(ipath.parent):
+        compiler_check_f2pycli()
+        cmd = f"{sys.executable} -c \"import blah; blah.hi();"
+        if NOGIL_BUILD:
+            cmd += "import sys; assert sys._is_gil_enabled() is False\""
+        else:
+            cmd += "\""
+        cmd_run = shlex.split(cmd)
+        rout = subprocess.run(cmd_run, capture_output=True, encoding='UTF-8')
+        eout = ' Hello World\n'
+        assert rout.stdout == eout
+        assert rout.stderr == ""
+        assert rout.returncode == 0
+
+
+# Numpy distutils flags
+# TODO: These should be tested separately
+
+def test_npd_fcompiler():
+    """
+    CLI :: -c --fcompiler
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_compiler():
+    """
+    CLI :: -c --compiler
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_help_fcompiler():
+    """
+    CLI :: -c --help-fcompiler
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_f77exec():
+    """
+    CLI :: -c --f77exec
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_f90exec():
+    """
+    CLI :: -c --f90exec
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_f77flags():
+    """
+    CLI :: -c --f77flags
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_f90flags():
+    """
+    CLI :: -c --f90flags
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_opt():
+    """
+    CLI :: -c --opt
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_arch():
+    """
+    CLI :: -c --arch
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_noopt():
+    """
+    CLI :: -c --noopt
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_noarch():
+    """
+    CLI :: -c --noarch
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_debug():
+    """
+    CLI :: -c --debug
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_link_auto():
+    """
+    CLI :: -c --link-
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_lib():
+    """
+    CLI :: -c -L/path/to/lib/ -l
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_define():
+    """
+    CLI :: -D
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_undefine():
+    """
+    CLI :: -U
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_incl():
+    """
+    CLI :: -I/path/to/include/
+    """
+    # TODO: populate
+    pass
+
+
+def test_npd_linker():
+    """
+    CLI :: .o .so .a
+    """
+    # TODO: populate
+    pass
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_isoc.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_isoc.py
new file mode 100644
index 0000000000000000000000000000000000000000..97f71e6c854cb1d9f9a9acc508b15df0b8123822
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_isoc.py
@@ -0,0 +1,53 @@
+from . import util
+import numpy as np
+import pytest
+from numpy.testing import assert_allclose
+
+class TestISOC(util.F2PyTest):
+    sources = [
+        util.getpath("tests", "src", "isocintrin", "isoCtests.f90"),
+    ]
+
+    # gh-24553
+    @pytest.mark.slow
+    def test_c_double(self):
+        out = self.module.coddity.c_add(1, 2)
+        exp_out = 3
+        assert  out == exp_out
+
+    # gh-9693
+    def test_bindc_function(self):
+        out = self.module.coddity.wat(1, 20)
+        exp_out = 8
+        assert  out == exp_out
+
+    # gh-25207
+    def test_bindc_kinds(self):
+        out = self.module.coddity.c_add_int64(1, 20)
+        exp_out = 21
+        assert  out == exp_out
+
+    # gh-25207
+    def test_bindc_add_arr(self):
+        a = np.array([1,2,3])
+        b = np.array([1,2,3])
+        out = self.module.coddity.add_arr(a, b)
+        exp_out = a*2
+        assert_allclose(out, exp_out)
+
+
+def test_process_f2cmap_dict():
+    from numpy.f2py.auxfuncs import process_f2cmap_dict
+
+    f2cmap_all = {"integer": {"8": "rubbish_type"}}
+    new_map = {"INTEGER": {"4": "int"}}
+    c2py_map = {"int": "int", "rubbish_type": "long"}
+
+    exp_map, exp_maptyp = ({"integer": {"8": "rubbish_type", "4": "int"}}, ["int"])
+
+    # Call the function
+    res_map, res_maptyp = process_f2cmap_dict(f2cmap_all, new_map, c2py_map)
+
+    # Assert the result is as expected
+    assert res_map == exp_map
+    assert res_maptyp == exp_maptyp
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_kind.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_kind.py
new file mode 100644
index 0000000000000000000000000000000000000000..a8403ca3660686df4a0d612218cdb80b92cec0c8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_kind.py
@@ -0,0 +1,49 @@
+import sys
+import pytest
+import platform
+
+from numpy.f2py.crackfortran import (
+    _selected_int_kind_func as selected_int_kind,
+    _selected_real_kind_func as selected_real_kind,
+)
+from . import util
+
+
+class TestKind(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "kind", "foo.f90")]
+
+    @pytest.mark.skipif(sys.maxsize < 2 ** 31 + 1,
+                        reason="Fails for 32 bit machines")
+    def test_int(self):
+        """Test `int` kind_func for integers up to 10**40."""
+        selectedintkind = self.module.selectedintkind
+
+        for i in range(40):
+            assert selectedintkind(i) == selected_int_kind(
+                i
+            ), f"selectedintkind({i}): expected {selected_int_kind(i)!r} but got {selectedintkind(i)!r}"
+
+    def test_real(self):
+        """
+        Test (processor-dependent) `real` kind_func for real numbers
+        of up to 31 digits precision (extended/quadruple).
+        """
+        selectedrealkind = self.module.selectedrealkind
+
+        for i in range(32):
+            assert selectedrealkind(i) == selected_real_kind(
+                i
+            ), f"selectedrealkind({i}): expected {selected_real_kind(i)!r} but got {selectedrealkind(i)!r}"
+
+    @pytest.mark.xfail(platform.machine().lower().startswith("ppc"),
+                       reason="Some PowerPC may not support full IEEE 754 precision")
+    def test_quad_precision(self):
+        """
+        Test kind_func for quadruple precision [`real(16)`] of 32+ digits .
+        """
+        selectedrealkind = self.module.selectedrealkind
+
+        for i in range(32, 40):
+            assert selectedrealkind(i) == selected_real_kind(
+                i
+            ), f"selectedrealkind({i}): expected {selected_real_kind(i)!r} but got {selectedrealkind(i)!r}"
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_mixed.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_mixed.py
new file mode 100644
index 0000000000000000000000000000000000000000..688c1630fda60853d4213107e33e90f17be70d80
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_mixed.py
@@ -0,0 +1,33 @@
+import textwrap
+import pytest
+
+from numpy.testing import IS_PYPY
+from . import util
+
+
+class TestMixed(util.F2PyTest):
+    sources = [
+        util.getpath("tests", "src", "mixed", "foo.f"),
+        util.getpath("tests", "src", "mixed", "foo_fixed.f90"),
+        util.getpath("tests", "src", "mixed", "foo_free.f90"),
+    ]
+
+    @pytest.mark.slow
+    def test_all(self):
+        assert self.module.bar11() == 11
+        assert self.module.foo_fixed.bar12() == 12
+        assert self.module.foo_free.bar13() == 13
+
+    @pytest.mark.xfail(IS_PYPY,
+                       reason="PyPy cannot modify tp_doc after PyType_Ready")
+    def test_docstring(self):
+        expected = textwrap.dedent("""\
+        a = bar11()
+
+        Wrapper for ``bar11``.
+
+        Returns
+        -------
+        a : int
+        """)
+        assert self.module.bar11.__doc__ == expected
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_modules.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_modules.py
new file mode 100644
index 0000000000000000000000000000000000000000..436e0c70001795e292cbb6a5cb022dc0378301ca
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_modules.py
@@ -0,0 +1,81 @@
+import pytest
+import textwrap
+
+from . import util
+from numpy.testing import IS_PYPY
+
+
+@pytest.mark.slow
+class TestModuleFilterPublicEntities(util.F2PyTest):
+    sources = [
+        util.getpath(
+            "tests", "src", "modules", "gh26920",
+            "two_mods_with_one_public_routine.f90"
+        )
+    ]
+    # we filter the only public function mod2
+    only = ["mod1_func1", ]
+
+    def test_gh26920(self):
+        # if it compiles and can be loaded, things are fine
+        pass
+
+
+@pytest.mark.slow
+class TestModuleWithoutPublicEntities(util.F2PyTest):
+    sources = [
+        util.getpath(
+            "tests", "src", "modules", "gh26920",
+            "two_mods_with_no_public_entities.f90"
+        )
+    ]
+    only = ["mod1_func1", ]
+
+    def test_gh26920(self):
+        # if it compiles and can be loaded, things are fine
+        pass
+
+
+@pytest.mark.slow
+class TestModuleDocString(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "modules", "module_data_docstring.f90")]
+
+    @pytest.mark.xfail(IS_PYPY, reason="PyPy cannot modify tp_doc after PyType_Ready")
+    def test_module_docstring(self):
+        assert self.module.mod.__doc__ == textwrap.dedent(
+            """\
+                     i : 'i'-scalar
+                     x : 'i'-array(4)
+                     a : 'f'-array(2,3)
+                     b : 'f'-array(-1,-1), not allocated\x00
+                     foo()\n
+                     Wrapper for ``foo``.\n\n"""
+        )
+
+
+@pytest.mark.slow
+class TestModuleAndSubroutine(util.F2PyTest):
+    module_name = "example"
+    sources = [
+        util.getpath("tests", "src", "modules", "gh25337", "data.f90"),
+        util.getpath("tests", "src", "modules", "gh25337", "use_data.f90"),
+    ]
+
+    def test_gh25337(self):
+        self.module.data.set_shift(3)
+        assert "data" in dir(self.module)
+
+
+@pytest.mark.slow
+class TestUsedModule(util.F2PyTest):
+    module_name = "fmath"
+    sources = [
+        util.getpath("tests", "src", "modules", "use_modules.f90"),
+    ]
+
+    def test_gh25867(self):
+        compiled_mods = [x for x in dir(self.module) if "__" not in x]
+        assert "useops" in compiled_mods
+        assert self.module.useops.sum_and_double(3, 7) == 20
+        assert "mathops" in compiled_mods
+        assert self.module.mathops.add(3, 7) == 10
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_parameter.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_parameter.py
new file mode 100644
index 0000000000000000000000000000000000000000..154131f49f7bc2b0bcee8f9e9104c98e98d7af3c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_parameter.py
@@ -0,0 +1,130 @@
+import pytest
+
+import numpy as np
+
+from . import util
+
+
+class TestParameters(util.F2PyTest):
+    # Check that intent(in out) translates as intent(inout)
+    sources = [
+        util.getpath("tests", "src", "parameter", "constant_real.f90"),
+        util.getpath("tests", "src", "parameter", "constant_integer.f90"),
+        util.getpath("tests", "src", "parameter", "constant_both.f90"),
+        util.getpath("tests", "src", "parameter", "constant_compound.f90"),
+        util.getpath("tests", "src", "parameter", "constant_non_compound.f90"),
+        util.getpath("tests", "src", "parameter", "constant_array.f90"),
+    ]
+
+    @pytest.mark.slow
+    def test_constant_real_single(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.float32)[::2]
+        pytest.raises(ValueError, self.module.foo_single, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.float32)
+        self.module.foo_single(x)
+        assert np.allclose(x, [0 + 1 + 2 * 3, 1, 2])
+
+    @pytest.mark.slow
+    def test_constant_real_double(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.float64)[::2]
+        pytest.raises(ValueError, self.module.foo_double, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.float64)
+        self.module.foo_double(x)
+        assert np.allclose(x, [0 + 1 + 2 * 3, 1, 2])
+
+    @pytest.mark.slow
+    def test_constant_compound_int(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.int32)[::2]
+        pytest.raises(ValueError, self.module.foo_compound_int, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.int32)
+        self.module.foo_compound_int(x)
+        assert np.allclose(x, [0 + 1 + 2 * 6, 1, 2])
+
+    @pytest.mark.slow
+    def test_constant_non_compound_int(self):
+        # check values
+        x = np.arange(4, dtype=np.int32)
+        self.module.foo_non_compound_int(x)
+        assert np.allclose(x, [0 + 1 + 2 + 3 * 4, 1, 2, 3])
+
+    @pytest.mark.slow
+    def test_constant_integer_int(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.int32)[::2]
+        pytest.raises(ValueError, self.module.foo_int, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.int32)
+        self.module.foo_int(x)
+        assert np.allclose(x, [0 + 1 + 2 * 3, 1, 2])
+
+    @pytest.mark.slow
+    def test_constant_integer_long(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.int64)[::2]
+        pytest.raises(ValueError, self.module.foo_long, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.int64)
+        self.module.foo_long(x)
+        assert np.allclose(x, [0 + 1 + 2 * 3, 1, 2])
+
+    @pytest.mark.slow
+    def test_constant_both(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.float64)[::2]
+        pytest.raises(ValueError, self.module.foo, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.float64)
+        self.module.foo(x)
+        assert np.allclose(x, [0 + 1 * 3 * 3 + 2 * 3 * 3, 1 * 3, 2 * 3])
+
+    @pytest.mark.slow
+    def test_constant_no(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.float64)[::2]
+        pytest.raises(ValueError, self.module.foo_no, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.float64)
+        self.module.foo_no(x)
+        assert np.allclose(x, [0 + 1 * 3 * 3 + 2 * 3 * 3, 1 * 3, 2 * 3])
+
+    @pytest.mark.slow
+    def test_constant_sum(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.float64)[::2]
+        pytest.raises(ValueError, self.module.foo_sum, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.float64)
+        self.module.foo_sum(x)
+        assert np.allclose(x, [0 + 1 * 3 * 3 + 2 * 3 * 3, 1 * 3, 2 * 3])
+
+    def test_constant_array(self):
+        x = np.arange(3, dtype=np.float64)
+        y = np.arange(5, dtype=np.float64)
+        z = self.module.foo_array(x, y)
+        assert np.allclose(x, [0.0, 1./10, 2./10])
+        assert np.allclose(y, [0.0, 1.*10, 2.*10, 3.*10, 4.*10])
+        assert np.allclose(z, 19.0)
+
+    def test_constant_array_any_index(self):
+        x = np.arange(6, dtype=np.float64)
+        y = self.module.foo_array_any_index(x)
+        assert np.allclose(y, x.reshape((2, 3), order='F'))
+
+    def test_constant_array_delims(self):
+        x = self.module.foo_array_delims()
+        assert x == 9
+
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_pyf_src.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_pyf_src.py
new file mode 100644
index 0000000000000000000000000000000000000000..f77ded2f31d4443c1bda42bb1c21f79fa100ce23
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_pyf_src.py
@@ -0,0 +1,44 @@
+# This test is ported from numpy.distutils
+from numpy.f2py._src_pyf import process_str
+from numpy.testing import assert_equal
+
+
+pyf_src = """
+python module foo
+    <_rd=real,double precision>
+    interface
+        subroutine foosub(tol)
+            <_rd>, intent(in,out) :: tol
+        end subroutine foosub
+    end interface
+end python module foo
+"""
+
+expected_pyf = """
+python module foo
+    interface
+        subroutine sfoosub(tol)
+            real, intent(in,out) :: tol
+        end subroutine sfoosub
+        subroutine dfoosub(tol)
+            double precision, intent(in,out) :: tol
+        end subroutine dfoosub
+    end interface
+end python module foo
+"""
+
+
+def normalize_whitespace(s):
+    """
+    Remove leading and trailing whitespace, and convert internal
+    stretches of whitespace to a single space.
+    """
+    return ' '.join(s.split())
+
+
+def test_from_template():
+    """Regression test for gh-10712."""
+    pyf = process_str(pyf_src)
+    normalized_pyf = normalize_whitespace(pyf)
+    normalized_expected_pyf = normalize_whitespace(expected_pyf)
+    assert_equal(normalized_pyf, normalized_expected_pyf)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_quoted_character.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_quoted_character.py
new file mode 100644
index 0000000000000000000000000000000000000000..85e83a781e7b55b8e14e780de12d694858b4a236
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_quoted_character.py
@@ -0,0 +1,17 @@
+"""See https://github.com/numpy/numpy/pull/10676.
+
+"""
+import sys
+import pytest
+
+from . import util
+
+
+class TestQuotedCharacter(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "quoted_character", "foo.f")]
+
+    @pytest.mark.skipif(sys.platform == "win32",
+                        reason="Fails with MinGW64 Gfortran (Issue #9673)")
+    @pytest.mark.slow
+    def test_quoted_character(self):
+        assert self.module.foo() == (b"'", b'"', b";", b"!", b"(", b")")
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_regression.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_regression.py
new file mode 100644
index 0000000000000000000000000000000000000000..c62f82ac3fc0f3292af475f2f725674a17e96fd1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_regression.py
@@ -0,0 +1,174 @@
+import os
+import pytest
+import platform
+
+import numpy as np
+import numpy.testing as npt
+
+from . import util
+
+
+class TestIntentInOut(util.F2PyTest):
+    # Check that intent(in out) translates as intent(inout)
+    sources = [util.getpath("tests", "src", "regression", "inout.f90")]
+
+    @pytest.mark.slow
+    def test_inout(self):
+        # non-contiguous should raise error
+        x = np.arange(6, dtype=np.float32)[::2]
+        pytest.raises(ValueError, self.module.foo, x)
+
+        # check values with contiguous array
+        x = np.arange(3, dtype=np.float32)
+        self.module.foo(x)
+        assert np.allclose(x, [3, 1, 2])
+
+
+class TestDataOnlyMultiModule(util.F2PyTest):
+    # Check that modules without subroutines work
+    sources = [util.getpath("tests", "src", "regression", "datonly.f90")]
+
+    @pytest.mark.slow
+    def test_mdat(self):
+        assert self.module.datonly.max_value == 100
+        assert self.module.dat.max_ == 1009
+        int_in = 5
+        assert self.module.simple_subroutine(5) == 1014
+
+
+class TestNegativeBounds(util.F2PyTest):
+    # Check that negative bounds work correctly
+    sources = [util.getpath("tests", "src", "negative_bounds", "issue_20853.f90")]
+
+    @pytest.mark.slow
+    def test_negbound(self):
+        xvec = np.arange(12)
+        xlow = -6
+        xhigh = 4
+        # Calculate the upper bound,
+        # Keeping the 1 index in mind
+        def ubound(xl, xh):
+            return xh - xl + 1
+        rval = self.module.foo(is_=xlow, ie_=xhigh,
+                        arr=xvec[:ubound(xlow, xhigh)])
+        expval = np.arange(11, dtype = np.float32)
+        assert np.allclose(rval, expval)
+
+
+class TestNumpyVersionAttribute(util.F2PyTest):
+    # Check that th attribute __f2py_numpy_version__ is present
+    # in the compiled module and that has the value np.__version__.
+    sources = [util.getpath("tests", "src", "regression", "inout.f90")]
+
+    @pytest.mark.slow
+    def test_numpy_version_attribute(self):
+
+        # Check that self.module has an attribute named "__f2py_numpy_version__"
+        assert hasattr(self.module, "__f2py_numpy_version__")
+
+        # Check that the attribute __f2py_numpy_version__ is a string
+        assert isinstance(self.module.__f2py_numpy_version__, str)
+
+        # Check that __f2py_numpy_version__ has the value numpy.__version__
+        assert np.__version__ == self.module.__f2py_numpy_version__
+
+
+def test_include_path():
+    incdir = np.f2py.get_include()
+    fnames_in_dir = os.listdir(incdir)
+    for fname in ("fortranobject.c", "fortranobject.h"):
+        assert fname in fnames_in_dir
+
+
+class TestIncludeFiles(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "regression", "incfile.f90")]
+    options = [f"-I{util.getpath('tests', 'src', 'regression')}",
+               f"--include-paths {util.getpath('tests', 'src', 'regression')}"]
+
+    @pytest.mark.slow
+    def test_gh25344(self):
+        exp = 7.0
+        res = self.module.add(3.0, 4.0)
+        assert  exp == res
+
+class TestF77Comments(util.F2PyTest):
+    # Check that comments are stripped from F77 continuation lines
+    sources = [util.getpath("tests", "src", "regression", "f77comments.f")]
+
+    @pytest.mark.slow
+    def test_gh26148(self):
+        x1 = np.array(3, dtype=np.int32)
+        x2 = np.array(5, dtype=np.int32)
+        res=self.module.testsub(x1, x2)
+        assert(res[0] == 8)
+        assert(res[1] == 15)
+
+    @pytest.mark.slow
+    def test_gh26466(self):
+        # Check that comments after PARAMETER directions are stripped
+        expected = np.arange(1, 11, dtype=np.float32)*2
+        res=self.module.testsub2()
+        npt.assert_allclose(expected, res)
+
+class TestF90Contiuation(util.F2PyTest):
+    # Check that comments are stripped from F90 continuation lines
+    sources = [util.getpath("tests", "src", "regression", "f90continuation.f90")]
+
+    @pytest.mark.slow
+    def test_gh26148b(self):
+        x1 = np.array(3, dtype=np.int32)
+        x2 = np.array(5, dtype=np.int32)
+        res=self.module.testsub(x1, x2)
+        assert(res[0] == 8)
+        assert(res[1] == 15)
+
+class TestLowerF2PYDirectives(util.F2PyTest):
+    # Check variables are cased correctly
+    sources = [util.getpath("tests", "src", "regression", "lower_f2py_fortran.f90")]
+
+    @pytest.mark.slow
+    def test_gh28014(self):
+        self.module.inquire_next(3)
+        assert True
+
+@pytest.mark.slow
+def test_gh26623():
+    # Including libraries with . should not generate an incorrect meson.build
+    try:
+        aa = util.build_module(
+            [util.getpath("tests", "src", "regression", "f90continuation.f90")],
+            ["-lfoo.bar"],
+            module_name="Blah",
+        )
+    except RuntimeError as rerr:
+        assert "lparen got assign" not in str(rerr)
+
+
+@pytest.mark.slow
+@pytest.mark.skipif(platform.system() not in ['Linux', 'Darwin'], reason='Unsupported on this platform for now')
+def test_gh25784():
+    # Compile dubious file using passed flags
+    try:
+        aa = util.build_module(
+            [util.getpath("tests", "src", "regression", "f77fixedform.f95")],
+            options=[
+                # Meson will collect and dedup these to pass to fortran_args:
+                "--f77flags='-ffixed-form -O2'",
+                "--f90flags=\"-ffixed-form -Og\"",
+            ],
+            module_name="Blah",
+        )
+    except ImportError as rerr:
+        assert "unknown_subroutine_" in str(rerr)
+
+
+@pytest.mark.slow
+class TestAssignmentOnlyModules(util.F2PyTest):
+    # Ensure that variables are exposed without functions or subroutines in a module
+    sources = [util.getpath("tests", "src", "regression", "assignOnlyModule.f90")]
+
+    @pytest.mark.slow
+    def test_gh27167(self):
+        assert (self.module.f_globals.n_max == 16)
+        assert (self.module.f_globals.i_max == 18)
+        assert (self.module.f_globals.j_max == 72)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_character.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_character.py
new file mode 100644
index 0000000000000000000000000000000000000000..078d445a6df6eb37c36e1dc73c4b2a13e250825c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_character.py
@@ -0,0 +1,46 @@
+import pytest
+
+from numpy import array
+from . import util
+import platform
+
+IS_S390X = platform.machine() == "s390x"
+
+
+@pytest.mark.slow
+class TestReturnCharacter(util.F2PyTest):
+    def check_function(self, t, tname):
+        if tname in ["t0", "t1", "s0", "s1"]:
+            assert t("23") == b"2"
+            r = t("ab")
+            assert r == b"a"
+            r = t(array("ab"))
+            assert r == b"a"
+            r = t(array(77, "u1"))
+            assert r == b"M"
+        elif tname in ["ts", "ss"]:
+            assert t(23) == b"23"
+            assert t("123456789abcdef") == b"123456789a"
+        elif tname in ["t5", "s5"]:
+            assert t(23) == b"23"
+            assert t("ab") == b"ab"
+            assert t("123456789abcdef") == b"12345"
+        else:
+            raise NotImplementedError
+
+
+class TestFReturnCharacter(TestReturnCharacter):
+    sources = [
+        util.getpath("tests", "src", "return_character", "foo77.f"),
+        util.getpath("tests", "src", "return_character", "foo90.f90"),
+    ]
+
+    @pytest.mark.xfail(IS_S390X, reason="callback returns ' '")
+    @pytest.mark.parametrize("name", "t0,t1,t5,s0,s1,s5,ss".split(","))
+    def test_all_f77(self, name):
+        self.check_function(getattr(self.module, name), name)
+
+    @pytest.mark.xfail(IS_S390X, reason="callback returns ' '")
+    @pytest.mark.parametrize("name", "t0,t1,t5,ts,s0,s1,s5,ss".split(","))
+    def test_all_f90(self, name):
+        self.check_function(getattr(self.module.f90_return_char, name), name)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_complex.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_complex.py
new file mode 100644
index 0000000000000000000000000000000000000000..17811f5d98f94ef1d865e49ccd22046051fd68e5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_complex.py
@@ -0,0 +1,66 @@
+import pytest
+
+from numpy import array
+from . import util
+
+
+@pytest.mark.slow
+class TestReturnComplex(util.F2PyTest):
+    def check_function(self, t, tname):
+        if tname in ["t0", "t8", "s0", "s8"]:
+            err = 1e-5
+        else:
+            err = 0.0
+        assert abs(t(234j) - 234.0j) <= err
+        assert abs(t(234.6) - 234.6) <= err
+        assert abs(t(234) - 234.0) <= err
+        assert abs(t(234.6 + 3j) - (234.6 + 3j)) <= err
+        # assert abs(t('234')-234.)<=err
+        # assert abs(t('234.6')-234.6)<=err
+        assert abs(t(-234) + 234.0) <= err
+        assert abs(t([234]) - 234.0) <= err
+        assert abs(t((234, )) - 234.0) <= err
+        assert abs(t(array(234)) - 234.0) <= err
+        assert abs(t(array(23 + 4j, "F")) - (23 + 4j)) <= err
+        assert abs(t(array([234])) - 234.0) <= err
+        assert abs(t(array([[234]])) - 234.0) <= err
+        assert abs(t(array([234]).astype("b")) + 22.0) <= err
+        assert abs(t(array([234], "h")) - 234.0) <= err
+        assert abs(t(array([234], "i")) - 234.0) <= err
+        assert abs(t(array([234], "l")) - 234.0) <= err
+        assert abs(t(array([234], "q")) - 234.0) <= err
+        assert abs(t(array([234], "f")) - 234.0) <= err
+        assert abs(t(array([234], "d")) - 234.0) <= err
+        assert abs(t(array([234 + 3j], "F")) - (234 + 3j)) <= err
+        assert abs(t(array([234], "D")) - 234.0) <= err
+
+        # pytest.raises(TypeError, t, array([234], 'S1'))
+        pytest.raises(TypeError, t, "abc")
+
+        pytest.raises(IndexError, t, [])
+        pytest.raises(IndexError, t, ())
+
+        pytest.raises(TypeError, t, t)
+        pytest.raises(TypeError, t, {})
+
+        try:
+            r = t(10**400)
+            assert repr(r) in ["(inf+0j)", "(Infinity+0j)"]
+        except OverflowError:
+            pass
+
+
+class TestFReturnComplex(TestReturnComplex):
+    sources = [
+        util.getpath("tests", "src", "return_complex", "foo77.f"),
+        util.getpath("tests", "src", "return_complex", "foo90.f90"),
+    ]
+
+    @pytest.mark.parametrize("name", "t0,t8,t16,td,s0,s8,s16,sd".split(","))
+    def test_all_f77(self, name):
+        self.check_function(getattr(self.module, name), name)
+
+    @pytest.mark.parametrize("name", "t0,t8,t16,td,s0,s8,s16,sd".split(","))
+    def test_all_f90(self, name):
+        self.check_function(getattr(self.module.f90_return_complex, name),
+                            name)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_integer.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_integer.py
new file mode 100644
index 0000000000000000000000000000000000000000..428afec4a0efa9f70acd158f610fdee104dbe82a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_integer.py
@@ -0,0 +1,54 @@
+import pytest
+
+from numpy import array
+from . import util
+
+
+@pytest.mark.slow
+class TestReturnInteger(util.F2PyTest):
+    def check_function(self, t, tname):
+        assert t(123) == 123
+        assert t(123.6) == 123
+        assert t("123") == 123
+        assert t(-123) == -123
+        assert t([123]) == 123
+        assert t((123, )) == 123
+        assert t(array(123)) == 123
+        assert t(array(123, "b")) == 123
+        assert t(array(123, "h")) == 123
+        assert t(array(123, "i")) == 123
+        assert t(array(123, "l")) == 123
+        assert t(array(123, "B")) == 123
+        assert t(array(123, "f")) == 123
+        assert t(array(123, "d")) == 123
+
+        # pytest.raises(ValueError, t, array([123],'S3'))
+        pytest.raises(ValueError, t, "abc")
+
+        pytest.raises(IndexError, t, [])
+        pytest.raises(IndexError, t, ())
+
+        pytest.raises(Exception, t, t)
+        pytest.raises(Exception, t, {})
+
+        if tname in ["t8", "s8"]:
+            pytest.raises(OverflowError, t, 100000000000000000000000)
+            pytest.raises(OverflowError, t, 10000000011111111111111.23)
+
+
+class TestFReturnInteger(TestReturnInteger):
+    sources = [
+        util.getpath("tests", "src", "return_integer", "foo77.f"),
+        util.getpath("tests", "src", "return_integer", "foo90.f90"),
+    ]
+
+    @pytest.mark.parametrize("name",
+                             "t0,t1,t2,t4,t8,s0,s1,s2,s4,s8".split(","))
+    def test_all_f77(self, name):
+        self.check_function(getattr(self.module, name), name)
+
+    @pytest.mark.parametrize("name",
+                             "t0,t1,t2,t4,t8,s0,s1,s2,s4,s8".split(","))
+    def test_all_f90(self, name):
+        self.check_function(getattr(self.module.f90_return_integer, name),
+                            name)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_logical.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_logical.py
new file mode 100644
index 0000000000000000000000000000000000000000..92fb902af4ddd269d67c427bc5090aabc35513dd
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_logical.py
@@ -0,0 +1,64 @@
+import pytest
+
+from numpy import array
+from . import util
+
+
+class TestReturnLogical(util.F2PyTest):
+    def check_function(self, t):
+        assert t(True) == 1
+        assert t(False) == 0
+        assert t(0) == 0
+        assert t(None) == 0
+        assert t(0.0) == 0
+        assert t(0j) == 0
+        assert t(1j) == 1
+        assert t(234) == 1
+        assert t(234.6) == 1
+        assert t(234.6 + 3j) == 1
+        assert t("234") == 1
+        assert t("aaa") == 1
+        assert t("") == 0
+        assert t([]) == 0
+        assert t(()) == 0
+        assert t({}) == 0
+        assert t(t) == 1
+        assert t(-234) == 1
+        assert t(10**100) == 1
+        assert t([234]) == 1
+        assert t((234, )) == 1
+        assert t(array(234)) == 1
+        assert t(array([234])) == 1
+        assert t(array([[234]])) == 1
+        assert t(array([127], "b")) == 1
+        assert t(array([234], "h")) == 1
+        assert t(array([234], "i")) == 1
+        assert t(array([234], "l")) == 1
+        assert t(array([234], "f")) == 1
+        assert t(array([234], "d")) == 1
+        assert t(array([234 + 3j], "F")) == 1
+        assert t(array([234], "D")) == 1
+        assert t(array(0)) == 0
+        assert t(array([0])) == 0
+        assert t(array([[0]])) == 0
+        assert t(array([0j])) == 0
+        assert t(array([1])) == 1
+        pytest.raises(ValueError, t, array([0, 0]))
+
+
+class TestFReturnLogical(TestReturnLogical):
+    sources = [
+        util.getpath("tests", "src", "return_logical", "foo77.f"),
+        util.getpath("tests", "src", "return_logical", "foo90.f90"),
+    ]
+
+    @pytest.mark.slow
+    @pytest.mark.parametrize("name", "t0,t1,t2,t4,s0,s1,s2,s4".split(","))
+    def test_all_f77(self, name):
+        self.check_function(getattr(self.module, name))
+
+    @pytest.mark.slow
+    @pytest.mark.parametrize("name",
+                             "t0,t1,t2,t4,t8,s0,s1,s2,s4,s8".split(","))
+    def test_all_f90(self, name):
+        self.check_function(getattr(self.module.f90_return_logical, name))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_real.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_real.py
new file mode 100644
index 0000000000000000000000000000000000000000..25b638890a961dd69441cc5b27ea1b384c2811de
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_return_real.py
@@ -0,0 +1,107 @@
+import platform
+import pytest
+
+from numpy import array
+from numpy.testing import IS_64BIT
+from . import util
+
+
+@pytest.mark.slow
+class TestReturnReal(util.F2PyTest):
+    def check_function(self, t, tname):
+        if tname in ["t0", "t4", "s0", "s4"]:
+            err = 1e-5
+        else:
+            err = 0.0
+        assert abs(t(234) - 234.0) <= err
+        assert abs(t(234.6) - 234.6) <= err
+        assert abs(t("234") - 234) <= err
+        assert abs(t("234.6") - 234.6) <= err
+        assert abs(t(-234) + 234) <= err
+        assert abs(t([234]) - 234) <= err
+        assert abs(t((234, )) - 234.0) <= err
+        assert abs(t(array(234)) - 234.0) <= err
+        assert abs(t(array(234).astype("b")) + 22) <= err
+        assert abs(t(array(234, "h")) - 234.0) <= err
+        assert abs(t(array(234, "i")) - 234.0) <= err
+        assert abs(t(array(234, "l")) - 234.0) <= err
+        assert abs(t(array(234, "B")) - 234.0) <= err
+        assert abs(t(array(234, "f")) - 234.0) <= err
+        assert abs(t(array(234, "d")) - 234.0) <= err
+        if tname in ["t0", "t4", "s0", "s4"]:
+            assert t(1e200) == t(1e300)  # inf
+
+        # pytest.raises(ValueError, t, array([234], 'S1'))
+        pytest.raises(ValueError, t, "abc")
+
+        pytest.raises(IndexError, t, [])
+        pytest.raises(IndexError, t, ())
+
+        pytest.raises(Exception, t, t)
+        pytest.raises(Exception, t, {})
+
+        try:
+            r = t(10**400)
+            assert repr(r) in ["inf", "Infinity"]
+        except OverflowError:
+            pass
+
+
+@pytest.mark.skipif(
+    platform.system() == "Darwin",
+    reason="Prone to error when run with numpy/f2py/tests on mac os, "
+    "but not when run in isolation",
+)
+@pytest.mark.skipif(
+    not IS_64BIT, reason="32-bit builds are buggy"
+)
+class TestCReturnReal(TestReturnReal):
+    suffix = ".pyf"
+    module_name = "c_ext_return_real"
+    code = """
+python module c_ext_return_real
+usercode \'\'\'
+float t4(float value) { return value; }
+void s4(float *t4, float value) { *t4 = value; }
+double t8(double value) { return value; }
+void s8(double *t8, double value) { *t8 = value; }
+\'\'\'
+interface
+  function t4(value)
+    real*4 intent(c) :: t4,value
+  end
+  function t8(value)
+    real*8 intent(c) :: t8,value
+  end
+  subroutine s4(t4,value)
+    intent(c) s4
+    real*4 intent(out) :: t4
+    real*4 intent(c) :: value
+  end
+  subroutine s8(t8,value)
+    intent(c) s8
+    real*8 intent(out) :: t8
+    real*8 intent(c) :: value
+  end
+end interface
+end python module c_ext_return_real
+    """
+
+    @pytest.mark.parametrize("name", "t4,t8,s4,s8".split(","))
+    def test_all(self, name):
+        self.check_function(getattr(self.module, name), name)
+
+
+class TestFReturnReal(TestReturnReal):
+    sources = [
+        util.getpath("tests", "src", "return_real", "foo77.f"),
+        util.getpath("tests", "src", "return_real", "foo90.f90"),
+    ]
+
+    @pytest.mark.parametrize("name", "t0,t4,t8,td,s0,s4,s8,sd".split(","))
+    def test_all_f77(self, name):
+        self.check_function(getattr(self.module, name), name)
+
+    @pytest.mark.parametrize("name", "t0,t4,t8,td,s0,s4,s8,sd".split(","))
+    def test_all_f90(self, name):
+        self.check_function(getattr(self.module.f90_return_real, name), name)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_routines.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_routines.py
new file mode 100644
index 0000000000000000000000000000000000000000..d6ab475d899e105c5194537cf537c1fe3b71e1e9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_routines.py
@@ -0,0 +1,28 @@
+import pytest
+from . import util
+
+
+@pytest.mark.slow
+class TestRenamedFunc(util.F2PyTest):
+    sources = [
+        util.getpath("tests", "src", "routines", "funcfortranname.f"),
+        util.getpath("tests", "src", "routines", "funcfortranname.pyf"),
+    ]
+    module_name = "funcfortranname"
+
+    def test_gh25799(self):
+        assert dir(self.module)
+        assert self.module.funcfortranname_default(200, 12) == 212
+
+
+@pytest.mark.slow
+class TestRenamedSubroutine(util.F2PyTest):
+    sources = [
+        util.getpath("tests", "src", "routines", "subrout.f"),
+        util.getpath("tests", "src", "routines", "subrout.pyf"),
+    ]
+    module_name = "subrout"
+
+    def test_renamed_subroutine(self):
+        assert dir(self.module)
+        assert self.module.subrout_default(200, 12) == 212
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_semicolon_split.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_semicolon_split.py
new file mode 100644
index 0000000000000000000000000000000000000000..8a9eb87435016ac69be071253ea25335b66f61a9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_semicolon_split.py
@@ -0,0 +1,74 @@
+import platform
+import pytest
+
+from numpy.testing import IS_64BIT
+
+from . import util
+
+
+@pytest.mark.skipif(
+    platform.system() == "Darwin",
+    reason="Prone to error when run with numpy/f2py/tests on mac os, "
+    "but not when run in isolation",
+)
+@pytest.mark.skipif(
+    not IS_64BIT, reason="32-bit builds are buggy"
+)
+class TestMultiline(util.F2PyTest):
+    suffix = ".pyf"
+    module_name = "multiline"
+    code = f"""
+python module {module_name}
+    usercode '''
+void foo(int* x) {{
+    char dummy = ';';
+    *x = 42;
+}}
+'''
+    interface
+        subroutine foo(x)
+            intent(c) foo
+            integer intent(out) :: x
+        end subroutine foo
+    end interface
+end python module {module_name}
+    """
+
+    def test_multiline(self):
+        assert self.module.foo() == 42
+
+
+@pytest.mark.skipif(
+    platform.system() == "Darwin",
+    reason="Prone to error when run with numpy/f2py/tests on mac os, "
+    "but not when run in isolation",
+)
+@pytest.mark.skipif(
+    not IS_64BIT, reason="32-bit builds are buggy"
+)
+@pytest.mark.slow
+class TestCallstatement(util.F2PyTest):
+    suffix = ".pyf"
+    module_name = "callstatement"
+    code = f"""
+python module {module_name}
+    usercode '''
+void foo(int* x) {{
+}}
+'''
+    interface
+        subroutine foo(x)
+            intent(c) foo
+            integer intent(out) :: x
+            callprotoargument int*
+            callstatement {{ &
+                ; &
+                x = 42; &
+            }}
+        end subroutine foo
+    end interface
+end python module {module_name}
+    """
+
+    def test_callstatement(self):
+        assert self.module.foo() == 42
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_size.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_size.py
new file mode 100644
index 0000000000000000000000000000000000000000..b354711b457f5ed9920ba1d0118aba64ac90fc74
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_size.py
@@ -0,0 +1,44 @@
+import pytest
+import numpy as np
+
+from . import util
+
+
+class TestSizeSumExample(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "size", "foo.f90")]
+
+    @pytest.mark.slow
+    def test_all(self):
+        r = self.module.foo([[]])
+        assert r == [0]
+
+        r = self.module.foo([[1, 2]])
+        assert r == [3]
+
+        r = self.module.foo([[1, 2], [3, 4]])
+        assert np.allclose(r, [3, 7])
+
+        r = self.module.foo([[1, 2], [3, 4], [5, 6]])
+        assert np.allclose(r, [3, 7, 11])
+
+    @pytest.mark.slow
+    def test_transpose(self):
+        r = self.module.trans([[]])
+        assert np.allclose(r.T, np.array([[]]))
+
+        r = self.module.trans([[1, 2]])
+        assert np.allclose(r, [[1.], [2.]])
+
+        r = self.module.trans([[1, 2, 3], [4, 5, 6]])
+        assert np.allclose(r, [[1, 4], [2, 5], [3, 6]])
+
+    @pytest.mark.slow
+    def test_flatten(self):
+        r = self.module.flatten([[]])
+        assert np.allclose(r, [])
+
+        r = self.module.flatten([[1, 2]])
+        assert np.allclose(r, [1, 2])
+
+        r = self.module.flatten([[1, 2, 3], [4, 5, 6]])
+        assert np.allclose(r, [1, 2, 3, 4, 5, 6])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_string.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_string.py
new file mode 100644
index 0000000000000000000000000000000000000000..1888f649f543c9965461ef79bb40b1ca18118ea6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_string.py
@@ -0,0 +1,98 @@
+import pytest
+import numpy as np
+from . import util
+
+
+class TestString(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "string", "char.f90")]
+
+    @pytest.mark.slow
+    def test_char(self):
+        strings = np.array(["ab", "cd", "ef"], dtype="c").T
+        inp, out = self.module.char_test.change_strings(
+            strings, strings.shape[1])
+        assert inp == pytest.approx(strings)
+        expected = strings.copy()
+        expected[1, :] = "AAA"
+        assert out == pytest.approx(expected)
+
+
+class TestDocStringArguments(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "string", "string.f")]
+
+    def test_example(self):
+        a = np.array(b"123\0\0")
+        b = np.array(b"123\0\0")
+        c = np.array(b"123")
+        d = np.array(b"123")
+
+        self.module.foo(a, b, c, d)
+
+        assert a.tobytes() == b"123\0\0"
+        assert b.tobytes() == b"B23\0\0"
+        assert c.tobytes() == b"123"
+        assert d.tobytes() == b"D23"
+
+
+class TestFixedString(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "string", "fixed_string.f90")]
+
+    @staticmethod
+    def _sint(s, start=0, end=None):
+        """Return the content of a string buffer as integer value.
+
+        For example:
+          _sint('1234') -> 4321
+          _sint('123A') -> 17321
+        """
+        if isinstance(s, np.ndarray):
+            s = s.tobytes()
+        elif isinstance(s, str):
+            s = s.encode()
+        assert isinstance(s, bytes)
+        if end is None:
+            end = len(s)
+        i = 0
+        for j in range(start, min(end, len(s))):
+            i += s[j] * 10**j
+        return i
+
+    def _get_input(self, intent="in"):
+        if intent in ["in"]:
+            yield ""
+            yield "1"
+            yield "1234"
+            yield "12345"
+            yield b""
+            yield b"\0"
+            yield b"1"
+            yield b"\01"
+            yield b"1\0"
+            yield b"1234"
+            yield b"12345"
+        yield np.ndarray((), np.bytes_, buffer=b"")  # array(b'', dtype='|S0')
+        yield np.array(b"")  # array(b'', dtype='|S1')
+        yield np.array(b"\0")
+        yield np.array(b"1")
+        yield np.array(b"1\0")
+        yield np.array(b"\01")
+        yield np.array(b"1234")
+        yield np.array(b"123\0")
+        yield np.array(b"12345")
+
+    def test_intent_in(self):
+        for s in self._get_input():
+            r = self.module.test_in_bytes4(s)
+            # also checks that s is not changed inplace
+            expected = self._sint(s, end=4)
+            assert r == expected, s
+
+    def test_intent_inout(self):
+        for s in self._get_input(intent="inout"):
+            rest = self._sint(s, start=4)
+            r = self.module.test_inout_bytes4(s)
+            expected = self._sint(s, end=4)
+            assert r == expected
+
+            # check that the rest of input string is preserved
+            assert rest == self._sint(s, start=4)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_symbolic.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_symbolic.py
new file mode 100644
index 0000000000000000000000000000000000000000..8452783111ebe7130d17301d228eb5708e9eced7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_symbolic.py
@@ -0,0 +1,494 @@
+import pytest
+
+from numpy.f2py.symbolic import (
+    Expr,
+    Op,
+    ArithOp,
+    Language,
+    as_symbol,
+    as_number,
+    as_string,
+    as_array,
+    as_complex,
+    as_terms,
+    as_factors,
+    eliminate_quotes,
+    insert_quotes,
+    fromstring,
+    as_expr,
+    as_apply,
+    as_numer_denom,
+    as_ternary,
+    as_ref,
+    as_deref,
+    normalize,
+    as_eq,
+    as_ne,
+    as_lt,
+    as_gt,
+    as_le,
+    as_ge,
+)
+from . import util
+
+
+class TestSymbolic(util.F2PyTest):
+    def test_eliminate_quotes(self):
+        def worker(s):
+            r, d = eliminate_quotes(s)
+            s1 = insert_quotes(r, d)
+            assert s1 == s
+
+        for kind in ["", "mykind_"]:
+            worker(kind + '"1234" // "ABCD"')
+            worker(kind + '"1234" // ' + kind + '"ABCD"')
+            worker(kind + "\"1234\" // 'ABCD'")
+            worker(kind + '"1234" // ' + kind + "'ABCD'")
+            worker(kind + '"1\\"2\'AB\'34"')
+            worker("a = " + kind + "'1\\'2\"AB\"34'")
+
+    def test_sanity(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+
+        assert x.op == Op.SYMBOL
+        assert repr(x) == "Expr(Op.SYMBOL, 'x')"
+        assert x == x
+        assert x != y
+        assert hash(x) is not None
+
+        n = as_number(123)
+        m = as_number(456)
+        assert n.op == Op.INTEGER
+        assert repr(n) == "Expr(Op.INTEGER, (123, 4))"
+        assert n == n
+        assert n != m
+        assert hash(n) is not None
+
+        fn = as_number(12.3)
+        fm = as_number(45.6)
+        assert fn.op == Op.REAL
+        assert repr(fn) == "Expr(Op.REAL, (12.3, 4))"
+        assert fn == fn
+        assert fn != fm
+        assert hash(fn) is not None
+
+        c = as_complex(1, 2)
+        c2 = as_complex(3, 4)
+        assert c.op == Op.COMPLEX
+        assert repr(c) == ("Expr(Op.COMPLEX, (Expr(Op.INTEGER, (1, 4)),"
+                           " Expr(Op.INTEGER, (2, 4))))")
+        assert c == c
+        assert c != c2
+        assert hash(c) is not None
+
+        s = as_string("'123'")
+        s2 = as_string('"ABC"')
+        assert s.op == Op.STRING
+        assert repr(s) == "Expr(Op.STRING, (\"'123'\", 1))", repr(s)
+        assert s == s
+        assert s != s2
+
+        a = as_array((n, m))
+        b = as_array((n, ))
+        assert a.op == Op.ARRAY
+        assert repr(a) == ("Expr(Op.ARRAY, (Expr(Op.INTEGER, (123, 4)),"
+                           " Expr(Op.INTEGER, (456, 4))))")
+        assert a == a
+        assert a != b
+
+        t = as_terms(x)
+        u = as_terms(y)
+        assert t.op == Op.TERMS
+        assert repr(t) == "Expr(Op.TERMS, {Expr(Op.SYMBOL, 'x'): 1})"
+        assert t == t
+        assert t != u
+        assert hash(t) is not None
+
+        v = as_factors(x)
+        w = as_factors(y)
+        assert v.op == Op.FACTORS
+        assert repr(v) == "Expr(Op.FACTORS, {Expr(Op.SYMBOL, 'x'): 1})"
+        assert v == v
+        assert w != v
+        assert hash(v) is not None
+
+        t = as_ternary(x, y, z)
+        u = as_ternary(x, z, y)
+        assert t.op == Op.TERNARY
+        assert t == t
+        assert t != u
+        assert hash(t) is not None
+
+        e = as_eq(x, y)
+        f = as_lt(x, y)
+        assert e.op == Op.RELATIONAL
+        assert e == e
+        assert e != f
+        assert hash(e) is not None
+
+    def test_tostring_fortran(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+        n = as_number(123)
+        m = as_number(456)
+        a = as_array((n, m))
+        c = as_complex(n, m)
+
+        assert str(x) == "x"
+        assert str(n) == "123"
+        assert str(a) == "[123, 456]"
+        assert str(c) == "(123, 456)"
+
+        assert str(Expr(Op.TERMS, {x: 1})) == "x"
+        assert str(Expr(Op.TERMS, {x: 2})) == "2 * x"
+        assert str(Expr(Op.TERMS, {x: -1})) == "-x"
+        assert str(Expr(Op.TERMS, {x: -2})) == "-2 * x"
+        assert str(Expr(Op.TERMS, {x: 1, y: 1})) == "x + y"
+        assert str(Expr(Op.TERMS, {x: -1, y: -1})) == "-x - y"
+        assert str(Expr(Op.TERMS, {x: 2, y: 3})) == "2 * x + 3 * y"
+        assert str(Expr(Op.TERMS, {x: -2, y: 3})) == "-2 * x + 3 * y"
+        assert str(Expr(Op.TERMS, {x: 2, y: -3})) == "2 * x - 3 * y"
+
+        assert str(Expr(Op.FACTORS, {x: 1})) == "x"
+        assert str(Expr(Op.FACTORS, {x: 2})) == "x ** 2"
+        assert str(Expr(Op.FACTORS, {x: -1})) == "x ** -1"
+        assert str(Expr(Op.FACTORS, {x: -2})) == "x ** -2"
+        assert str(Expr(Op.FACTORS, {x: 1, y: 1})) == "x * y"
+        assert str(Expr(Op.FACTORS, {x: 2, y: 3})) == "x ** 2 * y ** 3"
+
+        v = Expr(Op.FACTORS, {x: 2, Expr(Op.TERMS, {x: 1, y: 1}): 3})
+        assert str(v) == "x ** 2 * (x + y) ** 3", str(v)
+        v = Expr(Op.FACTORS, {x: 2, Expr(Op.FACTORS, {x: 1, y: 1}): 3})
+        assert str(v) == "x ** 2 * (x * y) ** 3", str(v)
+
+        assert str(Expr(Op.APPLY, ("f", (), {}))) == "f()"
+        assert str(Expr(Op.APPLY, ("f", (x, ), {}))) == "f(x)"
+        assert str(Expr(Op.APPLY, ("f", (x, y), {}))) == "f(x, y)"
+        assert str(Expr(Op.INDEXING, ("f", x))) == "f[x]"
+
+        assert str(as_ternary(x, y, z)) == "merge(y, z, x)"
+        assert str(as_eq(x, y)) == "x .eq. y"
+        assert str(as_ne(x, y)) == "x .ne. y"
+        assert str(as_lt(x, y)) == "x .lt. y"
+        assert str(as_le(x, y)) == "x .le. y"
+        assert str(as_gt(x, y)) == "x .gt. y"
+        assert str(as_ge(x, y)) == "x .ge. y"
+
+    def test_tostring_c(self):
+        language = Language.C
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+        n = as_number(123)
+
+        assert Expr(Op.FACTORS, {x: 2}).tostring(language=language) == "x * x"
+        assert (Expr(Op.FACTORS, {
+            x + y: 2
+        }).tostring(language=language) == "(x + y) * (x + y)")
+        assert Expr(Op.FACTORS, {
+            x: 12
+        }).tostring(language=language) == "pow(x, 12)"
+
+        assert as_apply(ArithOp.DIV, x,
+                        y).tostring(language=language) == "x / y"
+        assert (as_apply(ArithOp.DIV, x,
+                         x + y).tostring(language=language) == "x / (x + y)")
+        assert (as_apply(ArithOp.DIV, x - y, x +
+                         y).tostring(language=language) == "(x - y) / (x + y)")
+        assert (x + (x - y) / (x + y) +
+                n).tostring(language=language) == "123 + x + (x - y) / (x + y)"
+
+        assert as_ternary(x, y, z).tostring(language=language) == "(x?y:z)"
+        assert as_eq(x, y).tostring(language=language) == "x == y"
+        assert as_ne(x, y).tostring(language=language) == "x != y"
+        assert as_lt(x, y).tostring(language=language) == "x < y"
+        assert as_le(x, y).tostring(language=language) == "x <= y"
+        assert as_gt(x, y).tostring(language=language) == "x > y"
+        assert as_ge(x, y).tostring(language=language) == "x >= y"
+
+    def test_operations(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+
+        assert x + x == Expr(Op.TERMS, {x: 2})
+        assert x - x == Expr(Op.INTEGER, (0, 4))
+        assert x + y == Expr(Op.TERMS, {x: 1, y: 1})
+        assert x - y == Expr(Op.TERMS, {x: 1, y: -1})
+        assert x * x == Expr(Op.FACTORS, {x: 2})
+        assert x * y == Expr(Op.FACTORS, {x: 1, y: 1})
+
+        assert +x == x
+        assert -x == Expr(Op.TERMS, {x: -1}), repr(-x)
+        assert 2 * x == Expr(Op.TERMS, {x: 2})
+        assert 2 + x == Expr(Op.TERMS, {x: 1, as_number(1): 2})
+        assert 2 * x + 3 * y == Expr(Op.TERMS, {x: 2, y: 3})
+        assert (x + y) * 2 == Expr(Op.TERMS, {x: 2, y: 2})
+
+        assert x**2 == Expr(Op.FACTORS, {x: 2})
+        assert (x + y)**2 == Expr(
+            Op.TERMS,
+            {
+                Expr(Op.FACTORS, {x: 2}): 1,
+                Expr(Op.FACTORS, {y: 2}): 1,
+                Expr(Op.FACTORS, {
+                    x: 1,
+                    y: 1
+                }): 2,
+            },
+        )
+        assert (x + y) * x == x**2 + x * y
+        assert (x + y)**2 == x**2 + 2 * x * y + y**2
+        assert (x + y)**2 + (x - y)**2 == 2 * x**2 + 2 * y**2
+        assert (x + y) * z == x * z + y * z
+        assert z * (x + y) == x * z + y * z
+
+        assert (x / 2) == as_apply(ArithOp.DIV, x, as_number(2))
+        assert (2 * x / 2) == x
+        assert (3 * x / 2) == as_apply(ArithOp.DIV, 3 * x, as_number(2))
+        assert (4 * x / 2) == 2 * x
+        assert (5 * x / 2) == as_apply(ArithOp.DIV, 5 * x, as_number(2))
+        assert (6 * x / 2) == 3 * x
+        assert ((3 * 5) * x / 6) == as_apply(ArithOp.DIV, 5 * x, as_number(2))
+        assert (30 * x**2 * y**4 / (24 * x**3 * y**3)) == as_apply(
+            ArithOp.DIV, 5 * y, 4 * x)
+        assert ((15 * x / 6) / 5) == as_apply(ArithOp.DIV, x,
+                                              as_number(2)), (15 * x / 6) / 5
+        assert (x / (5 / x)) == as_apply(ArithOp.DIV, x**2, as_number(5))
+
+        assert (x / 2.0) == Expr(Op.TERMS, {x: 0.5})
+
+        s = as_string('"ABC"')
+        t = as_string('"123"')
+
+        assert s // t == Expr(Op.STRING, ('"ABC123"', 1))
+        assert s // x == Expr(Op.CONCAT, (s, x))
+        assert x // s == Expr(Op.CONCAT, (x, s))
+
+        c = as_complex(1.0, 2.0)
+        assert -c == as_complex(-1.0, -2.0)
+        assert c + c == as_expr((1 + 2j) * 2)
+        assert c * c == as_expr((1 + 2j)**2)
+
+    def test_substitute(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+        a = as_array((x, y))
+
+        assert x.substitute({x: y}) == y
+        assert (x + y).substitute({x: z}) == y + z
+        assert (x * y).substitute({x: z}) == y * z
+        assert (x**4).substitute({x: z}) == z**4
+        assert (x / y).substitute({x: z}) == z / y
+        assert x.substitute({x: y + z}) == y + z
+        assert a.substitute({x: y + z}) == as_array((y + z, y))
+
+        assert as_ternary(x, y,
+                          z).substitute({x: y + z}) == as_ternary(y + z, y, z)
+        assert as_eq(x, y).substitute({x: y + z}) == as_eq(y + z, y)
+
+    def test_fromstring(self):
+
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+        f = as_symbol("f")
+        s = as_string('"ABC"')
+        t = as_string('"123"')
+        a = as_array((x, y))
+
+        assert fromstring("x") == x
+        assert fromstring("+ x") == x
+        assert fromstring("-  x") == -x
+        assert fromstring("x + y") == x + y
+        assert fromstring("x + 1") == x + 1
+        assert fromstring("x * y") == x * y
+        assert fromstring("x * 2") == x * 2
+        assert fromstring("x / y") == x / y
+        assert fromstring("x ** 2", language=Language.Python) == x**2
+        assert fromstring("x ** 2 ** 3", language=Language.Python) == x**2**3
+        assert fromstring("(x + y) * z") == (x + y) * z
+
+        assert fromstring("f(x)") == f(x)
+        assert fromstring("f(x,y)") == f(x, y)
+        assert fromstring("f[x]") == f[x]
+        assert fromstring("f[x][y]") == f[x][y]
+
+        assert fromstring('"ABC"') == s
+        assert (normalize(
+            fromstring('"ABC" // "123" ',
+                       language=Language.Fortran)) == s // t)
+        assert fromstring('f("ABC")') == f(s)
+        assert fromstring('MYSTRKIND_"ABC"') == as_string('"ABC"', "MYSTRKIND")
+
+        assert fromstring("(/x, y/)") == a, fromstring("(/x, y/)")
+        assert fromstring("f((/x, y/))") == f(a)
+        assert fromstring("(/(x+y)*z/)") == as_array(((x + y) * z, ))
+
+        assert fromstring("123") == as_number(123)
+        assert fromstring("123_2") == as_number(123, 2)
+        assert fromstring("123_myintkind") == as_number(123, "myintkind")
+
+        assert fromstring("123.0") == as_number(123.0, 4)
+        assert fromstring("123.0_4") == as_number(123.0, 4)
+        assert fromstring("123.0_8") == as_number(123.0, 8)
+        assert fromstring("123.0e0") == as_number(123.0, 4)
+        assert fromstring("123.0d0") == as_number(123.0, 8)
+        assert fromstring("123d0") == as_number(123.0, 8)
+        assert fromstring("123e-0") == as_number(123.0, 4)
+        assert fromstring("123d+0") == as_number(123.0, 8)
+        assert fromstring("123.0_myrealkind") == as_number(123.0, "myrealkind")
+        assert fromstring("3E4") == as_number(30000.0, 4)
+
+        assert fromstring("(1, 2)") == as_complex(1, 2)
+        assert fromstring("(1e2, PI)") == as_complex(as_number(100.0),
+                                                     as_symbol("PI"))
+
+        assert fromstring("[1, 2]") == as_array((as_number(1), as_number(2)))
+
+        assert fromstring("POINT(x, y=1)") == as_apply(as_symbol("POINT"),
+                                                       x,
+                                                       y=as_number(1))
+        assert fromstring(
+            'PERSON(name="John", age=50, shape=(/34, 23/))') == as_apply(
+                as_symbol("PERSON"),
+                name=as_string('"John"'),
+                age=as_number(50),
+                shape=as_array((as_number(34), as_number(23))),
+            )
+
+        assert fromstring("x?y:z") == as_ternary(x, y, z)
+
+        assert fromstring("*x") == as_deref(x)
+        assert fromstring("**x") == as_deref(as_deref(x))
+        assert fromstring("&x") == as_ref(x)
+        assert fromstring("(*x) * (*y)") == as_deref(x) * as_deref(y)
+        assert fromstring("(*x) * *y") == as_deref(x) * as_deref(y)
+        assert fromstring("*x * *y") == as_deref(x) * as_deref(y)
+        assert fromstring("*x**y") == as_deref(x) * as_deref(y)
+
+        assert fromstring("x == y") == as_eq(x, y)
+        assert fromstring("x != y") == as_ne(x, y)
+        assert fromstring("x < y") == as_lt(x, y)
+        assert fromstring("x > y") == as_gt(x, y)
+        assert fromstring("x <= y") == as_le(x, y)
+        assert fromstring("x >= y") == as_ge(x, y)
+
+        assert fromstring("x .eq. y", language=Language.Fortran) == as_eq(x, y)
+        assert fromstring("x .ne. y", language=Language.Fortran) == as_ne(x, y)
+        assert fromstring("x .lt. y", language=Language.Fortran) == as_lt(x, y)
+        assert fromstring("x .gt. y", language=Language.Fortran) == as_gt(x, y)
+        assert fromstring("x .le. y", language=Language.Fortran) == as_le(x, y)
+        assert fromstring("x .ge. y", language=Language.Fortran) == as_ge(x, y)
+
+    def test_traverse(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+        f = as_symbol("f")
+
+        # Use traverse to substitute a symbol
+        def replace_visit(s, r=z):
+            if s == x:
+                return r
+
+        assert x.traverse(replace_visit) == z
+        assert y.traverse(replace_visit) == y
+        assert z.traverse(replace_visit) == z
+        assert (f(y)).traverse(replace_visit) == f(y)
+        assert (f(x)).traverse(replace_visit) == f(z)
+        assert (f[y]).traverse(replace_visit) == f[y]
+        assert (f[z]).traverse(replace_visit) == f[z]
+        assert (x + y + z).traverse(replace_visit) == (2 * z + y)
+        assert (x +
+                f(y, x - z)).traverse(replace_visit) == (z +
+                                                         f(y, as_number(0)))
+        assert as_eq(x, y).traverse(replace_visit) == as_eq(z, y)
+
+        # Use traverse to collect symbols, method 1
+        function_symbols = set()
+        symbols = set()
+
+        def collect_symbols(s):
+            if s.op is Op.APPLY:
+                oper = s.data[0]
+                function_symbols.add(oper)
+                if oper in symbols:
+                    symbols.remove(oper)
+            elif s.op is Op.SYMBOL and s not in function_symbols:
+                symbols.add(s)
+
+        (x + f(y, x - z)).traverse(collect_symbols)
+        assert function_symbols == {f}
+        assert symbols == {x, y, z}
+
+        # Use traverse to collect symbols, method 2
+        def collect_symbols2(expr, symbols):
+            if expr.op is Op.SYMBOL:
+                symbols.add(expr)
+
+        symbols = set()
+        (x + f(y, x - z)).traverse(collect_symbols2, symbols)
+        assert symbols == {x, y, z, f}
+
+        # Use traverse to partially collect symbols
+        def collect_symbols3(expr, symbols):
+            if expr.op is Op.APPLY:
+                # skip traversing function calls
+                return expr
+            if expr.op is Op.SYMBOL:
+                symbols.add(expr)
+
+        symbols = set()
+        (x + f(y, x - z)).traverse(collect_symbols3, symbols)
+        assert symbols == {x}
+
+    def test_linear_solve(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        z = as_symbol("z")
+
+        assert x.linear_solve(x) == (as_number(1), as_number(0))
+        assert (x + 1).linear_solve(x) == (as_number(1), as_number(1))
+        assert (2 * x).linear_solve(x) == (as_number(2), as_number(0))
+        assert (2 * x + 3).linear_solve(x) == (as_number(2), as_number(3))
+        assert as_number(3).linear_solve(x) == (as_number(0), as_number(3))
+        assert y.linear_solve(x) == (as_number(0), y)
+        assert (y * z).linear_solve(x) == (as_number(0), y * z)
+
+        assert (x + y).linear_solve(x) == (as_number(1), y)
+        assert (z * x + y).linear_solve(x) == (z, y)
+        assert ((z + y) * x + y).linear_solve(x) == (z + y, y)
+        assert (z * y * x + y).linear_solve(x) == (z * y, y)
+
+        pytest.raises(RuntimeError, lambda: (x * x).linear_solve(x))
+
+    def test_as_numer_denom(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        n = as_number(123)
+
+        assert as_numer_denom(x) == (x, as_number(1))
+        assert as_numer_denom(x / n) == (x, n)
+        assert as_numer_denom(n / x) == (n, x)
+        assert as_numer_denom(x / y) == (x, y)
+        assert as_numer_denom(x * y) == (x * y, as_number(1))
+        assert as_numer_denom(n + x / y) == (x + n * y, y)
+        assert as_numer_denom(n + x / (y - x / n)) == (y * n**2, y * n - x)
+
+    def test_polynomial_atoms(self):
+        x = as_symbol("x")
+        y = as_symbol("y")
+        n = as_number(123)
+
+        assert x.polynomial_atoms() == {x}
+        assert n.polynomial_atoms() == set()
+        assert (y[x]).polynomial_atoms() == {y[x]}
+        assert (y(x)).polynomial_atoms() == {y(x)}
+        assert (y(x) + x).polynomial_atoms() == {y(x), x}
+        assert (y(x) * x[y]).polynomial_atoms() == {y(x), x[y]}
+        assert (y(x)**x).polynomial_atoms() == {y(x)}
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_value_attrspec.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_value_attrspec.py
new file mode 100644
index 0000000000000000000000000000000000000000..1f3fa676ba8cf37e443b3a4e06f31d8f8306bfe7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/test_value_attrspec.py
@@ -0,0 +1,14 @@
+import pytest
+
+from . import util
+
+class TestValueAttr(util.F2PyTest):
+    sources = [util.getpath("tests", "src", "value_attrspec", "gh21665.f90")]
+
+    # gh-21665
+    @pytest.mark.slow
+    def test_gh21665(self):
+        inp = 2
+        out = self.module.fortfuncs.square(inp)
+        exp_out = 4
+        assert out == exp_out
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/util.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/util.py
new file mode 100644
index 0000000000000000000000000000000000000000..e2fcc1ba39d49fd77045b5d037a3ac91c3352e1b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/tests/util.py
@@ -0,0 +1,441 @@
+"""
+Utility functions for
+
+- building and importing modules on test time, using a temporary location
+- detecting if compilers are present
+- determining paths to tests
+
+"""
+import glob
+import os
+import sys
+import subprocess
+import tempfile
+import shutil
+import atexit
+import pytest
+import contextlib
+import numpy
+import concurrent.futures
+
+from pathlib import Path
+from numpy._utils import asunicode
+from numpy.testing import temppath, IS_WASM
+from importlib import import_module
+from numpy.f2py._backends._meson import MesonBackend
+
+#
+# Check if compilers are available at all...
+#
+
+def check_language(lang, code_snippet=None):
+    if sys.platform == "win32":
+        pytest.skip("No Fortran tests on Windows (Issue #25134)", allow_module_level=True)
+    tmpdir = tempfile.mkdtemp()
+    try:
+        meson_file = os.path.join(tmpdir, "meson.build")
+        with open(meson_file, "w") as f:
+            f.write("project('check_compilers')\n")
+            f.write(f"add_languages('{lang}')\n")
+            if code_snippet:
+                f.write(f"{lang}_compiler = meson.get_compiler('{lang}')\n")
+                f.write(f"{lang}_code = '''{code_snippet}'''\n")
+                f.write(
+                    f"_have_{lang}_feature ="
+                    f"{lang}_compiler.compiles({lang}_code,"
+                    f" name: '{lang} feature check')\n"
+                )
+        try:
+            runmeson = subprocess.run(
+                ["meson", "setup", "btmp"],
+                check=False,
+                cwd=tmpdir,
+                capture_output=True,
+            )
+        except subprocess.CalledProcessError:
+            pytest.skip("meson not present, skipping compiler dependent test", allow_module_level=True)
+        return runmeson.returncode == 0
+    finally:
+        shutil.rmtree(tmpdir)
+
+
+fortran77_code = '''
+C Example Fortran 77 code
+      PROGRAM HELLO
+      PRINT *, 'Hello, Fortran 77!'
+      END
+'''
+
+fortran90_code = '''
+! Example Fortran 90 code
+program hello90
+  type :: greeting
+    character(len=20) :: text
+  end type greeting
+
+  type(greeting) :: greet
+  greet%text = 'hello, fortran 90!'
+  print *, greet%text
+end program hello90
+'''
+
+# Dummy class for caching relevant checks
+class CompilerChecker:
+    def __init__(self):
+        self.compilers_checked = False
+        self.has_c = False
+        self.has_f77 = False
+        self.has_f90 = False
+
+    def check_compilers(self):
+        if (not self.compilers_checked) and (not sys.platform == "cygwin"):
+            with concurrent.futures.ThreadPoolExecutor() as executor:
+                futures = [
+                    executor.submit(check_language, "c"),
+                    executor.submit(check_language, "fortran", fortran77_code),
+                    executor.submit(check_language, "fortran", fortran90_code)
+                ]
+
+                self.has_c = futures[0].result()
+                self.has_f77 = futures[1].result()
+                self.has_f90 = futures[2].result()
+
+            self.compilers_checked = True
+
+if not IS_WASM:
+    checker = CompilerChecker()
+    checker.check_compilers()
+
+def has_c_compiler():
+    return checker.has_c
+
+def has_f77_compiler():
+    return checker.has_f77
+
+def has_f90_compiler():
+    return checker.has_f90
+
+def has_fortran_compiler():
+    return (checker.has_f90 and checker.has_f77)
+
+
+#
+# Maintaining a temporary module directory
+#
+
+_module_dir = None
+_module_num = 5403
+
+if sys.platform == "cygwin":
+    NUMPY_INSTALL_ROOT = Path(__file__).parent.parent.parent
+    _module_list = list(NUMPY_INSTALL_ROOT.glob("**/*.dll"))
+
+
+def _cleanup():
+    global _module_dir
+    if _module_dir is not None:
+        try:
+            sys.path.remove(_module_dir)
+        except ValueError:
+            pass
+        try:
+            shutil.rmtree(_module_dir)
+        except OSError:
+            pass
+        _module_dir = None
+
+
+def get_module_dir():
+    global _module_dir
+    if _module_dir is None:
+        _module_dir = tempfile.mkdtemp()
+        atexit.register(_cleanup)
+        if _module_dir not in sys.path:
+            sys.path.insert(0, _module_dir)
+    return _module_dir
+
+
+def get_temp_module_name():
+    # Assume single-threaded, and the module dir usable only by this thread
+    global _module_num
+    get_module_dir()
+    name = "_test_ext_module_%d" % _module_num
+    _module_num += 1
+    if name in sys.modules:
+        # this should not be possible, but check anyway
+        raise RuntimeError("Temporary module name already in use.")
+    return name
+
+
+def _memoize(func):
+    memo = {}
+
+    def wrapper(*a, **kw):
+        key = repr((a, kw))
+        if key not in memo:
+            try:
+                memo[key] = func(*a, **kw)
+            except Exception as e:
+                memo[key] = e
+                raise
+        ret = memo[key]
+        if isinstance(ret, Exception):
+            raise ret
+        return ret
+
+    wrapper.__name__ = func.__name__
+    return wrapper
+
+
+#
+# Building modules
+#
+
+
+@_memoize
+def build_module(source_files, options=[], skip=[], only=[], module_name=None):
+    """
+    Compile and import a f2py module, built from the given files.
+
+    """
+
+    code = f"import sys; sys.path = {sys.path!r}; import numpy.f2py; numpy.f2py.main()"
+
+    d = get_module_dir()
+    # gh-27045 : Skip if no compilers are found
+    if not has_fortran_compiler():
+        pytest.skip("No Fortran compiler available")
+
+    # Copy files
+    dst_sources = []
+    f2py_sources = []
+    for fn in source_files:
+        if not os.path.isfile(fn):
+            raise RuntimeError("%s is not a file" % fn)
+        dst = os.path.join(d, os.path.basename(fn))
+        shutil.copyfile(fn, dst)
+        dst_sources.append(dst)
+
+        base, ext = os.path.splitext(dst)
+        if ext in (".f90", ".f95", ".f", ".c", ".pyf"):
+            f2py_sources.append(dst)
+
+    assert f2py_sources
+
+    # Prepare options
+    if module_name is None:
+        module_name = get_temp_module_name()
+    gil_options = []
+    if '--freethreading-compatible' not in options and '--no-freethreading-compatible' not in options:
+        # default to disabling the GIL if unset in options
+        gil_options = ['--freethreading-compatible']
+    f2py_opts = ["-c", "-m", module_name] + options + gil_options + f2py_sources
+    f2py_opts += ["--backend", "meson"]
+    if skip:
+        f2py_opts += ["skip:"] + skip
+    if only:
+        f2py_opts += ["only:"] + only
+
+    # Build
+    cwd = os.getcwd()
+    try:
+        os.chdir(d)
+        cmd = [sys.executable, "-c", code] + f2py_opts
+        p = subprocess.Popen(cmd,
+                             stdout=subprocess.PIPE,
+                             stderr=subprocess.STDOUT)
+        out, err = p.communicate()
+        if p.returncode != 0:
+            raise RuntimeError("Running f2py failed: %s\n%s" %
+                               (cmd[4:], asunicode(out)))
+    finally:
+        os.chdir(cwd)
+
+        # Partial cleanup
+        for fn in dst_sources:
+            os.unlink(fn)
+
+    # Rebase (Cygwin-only)
+    if sys.platform == "cygwin":
+        # If someone starts deleting modules after import, this will
+        # need to change to record how big each module is, rather than
+        # relying on rebase being able to find that from the files.
+        _module_list.extend(
+            glob.glob(os.path.join(d, "{:s}*".format(module_name)))
+        )
+        subprocess.check_call(
+            ["/usr/bin/rebase", "--database", "--oblivious", "--verbose"]
+            + _module_list
+        )
+
+    # Import
+    return import_module(module_name)
+
+
+@_memoize
+def build_code(source_code,
+               options=[],
+               skip=[],
+               only=[],
+               suffix=None,
+               module_name=None):
+    """
+    Compile and import Fortran code using f2py.
+
+    """
+    if suffix is None:
+        suffix = ".f"
+    with temppath(suffix=suffix) as path:
+        with open(path, "w") as f:
+            f.write(source_code)
+        return build_module([path],
+                            options=options,
+                            skip=skip,
+                            only=only,
+                            module_name=module_name)
+
+
+#
+# Building with meson
+#
+
+
+class SimplifiedMesonBackend(MesonBackend):
+    def __init__(self, *args, **kwargs):
+        super().__init__(*args, **kwargs)
+
+    def compile(self):
+        self.write_meson_build(self.build_dir)
+        self.run_meson(self.build_dir)
+
+
+def build_meson(source_files, module_name=None, **kwargs):
+    """
+    Build a module via Meson and import it.
+    """
+
+    # gh-27045 : Skip if no compilers are found
+    if not has_fortran_compiler():
+        pytest.skip("No Fortran compiler available")
+
+    build_dir = get_module_dir()
+    if module_name is None:
+        module_name = get_temp_module_name()
+
+    # Initialize the MesonBackend
+    backend = SimplifiedMesonBackend(
+        modulename=module_name,
+        sources=source_files,
+        extra_objects=kwargs.get("extra_objects", []),
+        build_dir=build_dir,
+        include_dirs=kwargs.get("include_dirs", []),
+        library_dirs=kwargs.get("library_dirs", []),
+        libraries=kwargs.get("libraries", []),
+        define_macros=kwargs.get("define_macros", []),
+        undef_macros=kwargs.get("undef_macros", []),
+        f2py_flags=kwargs.get("f2py_flags", []),
+        sysinfo_flags=kwargs.get("sysinfo_flags", []),
+        fc_flags=kwargs.get("fc_flags", []),
+        flib_flags=kwargs.get("flib_flags", []),
+        setup_flags=kwargs.get("setup_flags", []),
+        remove_build_dir=kwargs.get("remove_build_dir", False),
+        extra_dat=kwargs.get("extra_dat", {}),
+    )
+
+    backend.compile()
+
+    # Import the compiled module
+    sys.path.insert(0, f"{build_dir}/{backend.meson_build_dir}")
+    return import_module(module_name)
+
+
+#
+# Unittest convenience
+#
+
+
+class F2PyTest:
+    code = None
+    sources = None
+    options = []
+    skip = []
+    only = []
+    suffix = ".f"
+    module = None
+    _has_c_compiler = None
+    _has_f77_compiler = None
+    _has_f90_compiler = None
+
+    @property
+    def module_name(self):
+        cls = type(self)
+        return f'_{cls.__module__.rsplit(".",1)[-1]}_{cls.__name__}_ext_module'
+
+    @classmethod
+    def setup_class(cls):
+        if sys.platform == "win32":
+            pytest.skip("Fails with MinGW64 Gfortran (Issue #9673)")
+        F2PyTest._has_c_compiler = has_c_compiler()
+        F2PyTest._has_f77_compiler = has_f77_compiler()
+        F2PyTest._has_f90_compiler = has_f90_compiler()
+        F2PyTest._has_fortran_compiler = has_fortran_compiler()
+
+    def setup_method(self):
+        if self.module is not None:
+            return
+
+        codes = self.sources if self.sources else []
+        if self.code:
+            codes.append(self.suffix)
+
+        needs_f77 = any(str(fn).endswith(".f") for fn in codes)
+        needs_f90 = any(str(fn).endswith(".f90") for fn in codes)
+        needs_pyf = any(str(fn).endswith(".pyf") for fn in codes)
+
+        if needs_f77 and not self._has_f77_compiler:
+            pytest.skip("No Fortran 77 compiler available")
+        if needs_f90 and not self._has_f90_compiler:
+            pytest.skip("No Fortran 90 compiler available")
+        if needs_pyf and not self._has_fortran_compiler:
+            pytest.skip("No Fortran compiler available")
+
+        # Build the module
+        if self.code is not None:
+            self.module = build_code(
+                self.code,
+                options=self.options,
+                skip=self.skip,
+                only=self.only,
+                suffix=self.suffix,
+                module_name=self.module_name,
+            )
+
+        if self.sources is not None:
+            self.module = build_module(
+                self.sources,
+                options=self.options,
+                skip=self.skip,
+                only=self.only,
+                module_name=self.module_name,
+            )
+
+
+#
+# Helper functions
+#
+
+
+def getpath(*a):
+    # Package root
+    d = Path(numpy.f2py.__file__).parent.resolve()
+    return d.joinpath(*a)
+
+
+@contextlib.contextmanager
+def switchdir(path):
+    curpath = Path.cwd()
+    os.chdir(path)
+    try:
+        yield
+    finally:
+        os.chdir(curpath)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/use_rules.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/use_rules.py
new file mode 100644
index 0000000000000000000000000000000000000000..19c111aae56d4919d6e72e17ebaece31d5bafc82
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/f2py/use_rules.py
@@ -0,0 +1,106 @@
+"""
+Build 'use others module data' mechanism for f2py2e.
+
+Copyright 1999 -- 2011 Pearu Peterson all rights reserved.
+Copyright 2011 -- present NumPy Developers.
+Permission to use, modify, and distribute this software is given under the
+terms of the NumPy License.
+
+NO WARRANTY IS EXPRESSED OR IMPLIED.  USE AT YOUR OWN RISK.
+"""
+__version__ = "$Revision: 1.3 $"[10:-1]
+
+f2py_version = 'See `f2py -v`'
+
+
+from .auxfuncs import (
+    applyrules, dictappend, gentitle, hasnote, outmess
+)
+
+
+usemodule_rules = {
+    'body': """
+#begintitle#
+static char doc_#apiname#[] = \"\\\nVariable wrapper signature:\\n\\
+\t #name# = get_#name#()\\n\\
+Arguments:\\n\\
+#docstr#\";
+extern F_MODFUNC(#usemodulename#,#USEMODULENAME#,#realname#,#REALNAME#);
+static PyObject *#apiname#(PyObject *capi_self, PyObject *capi_args) {
+/*#decl#*/
+\tif (!PyArg_ParseTuple(capi_args, \"\")) goto capi_fail;
+printf(\"c: %d\\n\",F_MODFUNC(#usemodulename#,#USEMODULENAME#,#realname#,#REALNAME#));
+\treturn Py_BuildValue(\"\");
+capi_fail:
+\treturn NULL;
+}
+""",
+    'method': '\t{\"get_#name#\",#apiname#,METH_VARARGS|METH_KEYWORDS,doc_#apiname#},',
+    'need': ['F_MODFUNC']
+}
+
+################
+
+
+def buildusevars(m, r):
+    ret = {}
+    outmess(
+        '\t\tBuilding use variable hooks for module "%s" (feature only for F90/F95)...\n' % (m['name']))
+    varsmap = {}
+    revmap = {}
+    if 'map' in r:
+        for k in r['map'].keys():
+            if r['map'][k] in revmap:
+                outmess('\t\t\tVariable "%s<=%s" is already mapped by "%s". Skipping.\n' % (
+                    r['map'][k], k, revmap[r['map'][k]]))
+            else:
+                revmap[r['map'][k]] = k
+    if r.get('only'):
+        for v in r['map'].keys():
+            if r['map'][v] in m['vars']:
+
+                if revmap[r['map'][v]] == v:
+                    varsmap[v] = r['map'][v]
+                else:
+                    outmess('\t\t\tIgnoring map "%s=>%s". See above.\n' %
+                            (v, r['map'][v]))
+            else:
+                outmess(
+                    '\t\t\tNo definition for variable "%s=>%s". Skipping.\n' % (v, r['map'][v]))
+    else:
+        for v in m['vars'].keys():
+            if v in revmap:
+                varsmap[v] = revmap[v]
+            else:
+                varsmap[v] = v
+    for v in varsmap.keys():
+        ret = dictappend(ret, buildusevar(v, varsmap[v], m['vars'], m['name']))
+    return ret
+
+
+def buildusevar(name, realname, vars, usemodulename):
+    outmess('\t\t\tConstructing wrapper function for variable "%s=>%s"...\n' % (
+        name, realname))
+    ret = {}
+    vrd = {'name': name,
+           'realname': realname,
+           'REALNAME': realname.upper(),
+           'usemodulename': usemodulename,
+           'USEMODULENAME': usemodulename.upper(),
+           'texname': name.replace('_', '\\_'),
+           'begintitle': gentitle('%s=>%s' % (name, realname)),
+           'endtitle': gentitle('end of %s=>%s' % (name, realname)),
+           'apiname': '#modulename#_use_%s_from_%s' % (realname, usemodulename)
+           }
+    nummap = {0: 'Ro', 1: 'Ri', 2: 'Rii', 3: 'Riii', 4: 'Riv',
+              5: 'Rv', 6: 'Rvi', 7: 'Rvii', 8: 'Rviii', 9: 'Rix'}
+    vrd['texnamename'] = name
+    for i in nummap.keys():
+        vrd['texnamename'] = vrd['texnamename'].replace(repr(i), nummap[i])
+    if hasnote(vars[realname]):
+        vrd['note'] = vars[realname]['note']
+    rd = dictappend({}, vrd)
+
+    print(name, realname, vars[realname])
+    ret = applyrules(usemodule_rules, rd)
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..0f6e6373e856a428ac56bb4dc7ed36a45aac8f7b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/__init__.py
@@ -0,0 +1,215 @@
+"""
+Discrete Fourier Transform (:mod:`numpy.fft`)
+=============================================
+
+.. currentmodule:: numpy.fft
+
+The SciPy module `scipy.fft` is a more comprehensive superset
+of ``numpy.fft``, which includes only a basic set of routines.
+
+Standard FFTs
+-------------
+
+.. autosummary::
+   :toctree: generated/
+
+   fft       Discrete Fourier transform.
+   ifft      Inverse discrete Fourier transform.
+   fft2      Discrete Fourier transform in two dimensions.
+   ifft2     Inverse discrete Fourier transform in two dimensions.
+   fftn      Discrete Fourier transform in N-dimensions.
+   ifftn     Inverse discrete Fourier transform in N dimensions.
+
+Real FFTs
+---------
+
+.. autosummary::
+   :toctree: generated/
+
+   rfft      Real discrete Fourier transform.
+   irfft     Inverse real discrete Fourier transform.
+   rfft2     Real discrete Fourier transform in two dimensions.
+   irfft2    Inverse real discrete Fourier transform in two dimensions.
+   rfftn     Real discrete Fourier transform in N dimensions.
+   irfftn    Inverse real discrete Fourier transform in N dimensions.
+
+Hermitian FFTs
+--------------
+
+.. autosummary::
+   :toctree: generated/
+
+   hfft      Hermitian discrete Fourier transform.
+   ihfft     Inverse Hermitian discrete Fourier transform.
+
+Helper routines
+---------------
+
+.. autosummary::
+   :toctree: generated/
+
+   fftfreq   Discrete Fourier Transform sample frequencies.
+   rfftfreq  DFT sample frequencies (for usage with rfft, irfft).
+   fftshift  Shift zero-frequency component to center of spectrum.
+   ifftshift Inverse of fftshift.
+
+
+Background information
+----------------------
+
+Fourier analysis is fundamentally a method for expressing a function as a
+sum of periodic components, and for recovering the function from those
+components.  When both the function and its Fourier transform are
+replaced with discretized counterparts, it is called the discrete Fourier
+transform (DFT).  The DFT has become a mainstay of numerical computing in
+part because of a very fast algorithm for computing it, called the Fast
+Fourier Transform (FFT), which was known to Gauss (1805) and was brought
+to light in its current form by Cooley and Tukey [CT]_.  Press et al. [NR]_
+provide an accessible introduction to Fourier analysis and its
+applications.
+
+Because the discrete Fourier transform separates its input into
+components that contribute at discrete frequencies, it has a great number
+of applications in digital signal processing, e.g., for filtering, and in
+this context the discretized input to the transform is customarily
+referred to as a *signal*, which exists in the *time domain*.  The output
+is called a *spectrum* or *transform* and exists in the *frequency
+domain*.
+
+Implementation details
+----------------------
+
+There are many ways to define the DFT, varying in the sign of the
+exponent, normalization, etc.  In this implementation, the DFT is defined
+as
+
+.. math::
+   A_k =  \\sum_{m=0}^{n-1} a_m \\exp\\left\\{-2\\pi i{mk \\over n}\\right\\}
+   \\qquad k = 0,\\ldots,n-1.
+
+The DFT is in general defined for complex inputs and outputs, and a
+single-frequency component at linear frequency :math:`f` is
+represented by a complex exponential
+:math:`a_m = \\exp\\{2\\pi i\\,f m\\Delta t\\}`, where :math:`\\Delta t`
+is the sampling interval.
+
+The values in the result follow so-called "standard" order: If ``A =
+fft(a, n)``, then ``A[0]`` contains the zero-frequency term (the sum of
+the signal), which is always purely real for real inputs. Then ``A[1:n/2]``
+contains the positive-frequency terms, and ``A[n/2+1:]`` contains the
+negative-frequency terms, in order of decreasingly negative frequency.
+For an even number of input points, ``A[n/2]`` represents both positive and
+negative Nyquist frequency, and is also purely real for real input.  For
+an odd number of input points, ``A[(n-1)/2]`` contains the largest positive
+frequency, while ``A[(n+1)/2]`` contains the largest negative frequency.
+The routine ``np.fft.fftfreq(n)`` returns an array giving the frequencies
+of corresponding elements in the output.  The routine
+``np.fft.fftshift(A)`` shifts transforms and their frequencies to put the
+zero-frequency components in the middle, and ``np.fft.ifftshift(A)`` undoes
+that shift.
+
+When the input `a` is a time-domain signal and ``A = fft(a)``, ``np.abs(A)``
+is its amplitude spectrum and ``np.abs(A)**2`` is its power spectrum.
+The phase spectrum is obtained by ``np.angle(A)``.
+
+The inverse DFT is defined as
+
+.. math::
+   a_m = \\frac{1}{n}\\sum_{k=0}^{n-1}A_k\\exp\\left\\{2\\pi i{mk\\over n}\\right\\}
+   \\qquad m = 0,\\ldots,n-1.
+
+It differs from the forward transform by the sign of the exponential
+argument and the default normalization by :math:`1/n`.
+
+Type Promotion
+--------------
+
+`numpy.fft` promotes ``float32`` and ``complex64`` arrays to ``float64`` and
+``complex128`` arrays respectively. For an FFT implementation that does not
+promote input arrays, see `scipy.fftpack`.
+
+Normalization
+-------------
+
+The argument ``norm`` indicates which direction of the pair of direct/inverse
+transforms is scaled and with what normalization factor.
+The default normalization (``"backward"``) has the direct (forward) transforms
+unscaled and the inverse (backward) transforms scaled by :math:`1/n`. It is
+possible to obtain unitary transforms by setting the keyword argument ``norm``
+to ``"ortho"`` so that both direct and inverse transforms are scaled by
+:math:`1/\\sqrt{n}`. Finally, setting the keyword argument ``norm`` to
+``"forward"`` has the direct transforms scaled by :math:`1/n` and the inverse
+transforms unscaled (i.e. exactly opposite to the default ``"backward"``).
+`None` is an alias of the default option ``"backward"`` for backward
+compatibility.
+
+Real and Hermitian transforms
+-----------------------------
+
+When the input is purely real, its transform is Hermitian, i.e., the
+component at frequency :math:`f_k` is the complex conjugate of the
+component at frequency :math:`-f_k`, which means that for real
+inputs there is no information in the negative frequency components that
+is not already available from the positive frequency components.
+The family of `rfft` functions is
+designed to operate on real inputs, and exploits this symmetry by
+computing only the positive frequency components, up to and including the
+Nyquist frequency.  Thus, ``n`` input points produce ``n/2+1`` complex
+output points.  The inverses of this family assumes the same symmetry of
+its input, and for an output of ``n`` points uses ``n/2+1`` input points.
+
+Correspondingly, when the spectrum is purely real, the signal is
+Hermitian.  The `hfft` family of functions exploits this symmetry by
+using ``n/2+1`` complex points in the input (time) domain for ``n`` real
+points in the frequency domain.
+
+In higher dimensions, FFTs are used, e.g., for image analysis and
+filtering.  The computational efficiency of the FFT means that it can
+also be a faster way to compute large convolutions, using the property
+that a convolution in the time domain is equivalent to a point-by-point
+multiplication in the frequency domain.
+
+Higher dimensions
+-----------------
+
+In two dimensions, the DFT is defined as
+
+.. math::
+   A_{kl} =  \\sum_{m=0}^{M-1} \\sum_{n=0}^{N-1}
+   a_{mn}\\exp\\left\\{-2\\pi i \\left({mk\\over M}+{nl\\over N}\\right)\\right\\}
+   \\qquad k = 0, \\ldots, M-1;\\quad l = 0, \\ldots, N-1,
+
+which extends in the obvious way to higher dimensions, and the inverses
+in higher dimensions also extend in the same way.
+
+References
+----------
+
+.. [CT] Cooley, James W., and John W. Tukey, 1965, "An algorithm for the
+        machine calculation of complex Fourier series," *Math. Comput.*
+        19: 297-301.
+
+.. [NR] Press, W., Teukolsky, S., Vetterline, W.T., and Flannery, B.P.,
+        2007, *Numerical Recipes: The Art of Scientific Computing*, ch.
+        12-13.  Cambridge Univ. Press, Cambridge, UK.
+
+Examples
+--------
+
+For examples, see the various functions.
+
+"""
+
+from . import _pocketfft, _helper
+# TODO: `numpy.fft.helper`` was deprecated in NumPy 2.0. It should
+# be deleted once downstream libraries move to `numpy.fft`.
+from . import helper
+from ._pocketfft import *
+from ._helper import *
+
+__all__ = _pocketfft.__all__.copy()
+__all__ += _helper.__all__
+
+from numpy._pytesttester import PytestTester
+test = PytestTester(__name__)
+del PytestTester
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/__init__.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..feac6a7ff8a16026847cc4935811f343d00fc2a7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/__init__.pyi
@@ -0,0 +1,43 @@
+from ._pocketfft import (
+    fft,
+    ifft,
+    rfft,
+    irfft,
+    hfft,
+    ihfft,
+    rfftn,
+    irfftn,
+    rfft2,
+    irfft2,
+    fft2,
+    ifft2,
+    fftn,
+    ifftn,
+)
+from ._helper import (
+    fftshift,
+    ifftshift,
+    fftfreq,
+    rfftfreq,
+)
+
+__all__ = [
+    "fft",
+    "ifft",
+    "rfft",
+    "irfft",
+    "hfft",
+    "ihfft",
+    "rfftn",
+    "irfftn",
+    "rfft2",
+    "irfft2",
+    "fft2",
+    "ifft2",
+    "fftn",
+    "ifftn",
+    "fftshift",
+    "ifftshift",
+    "fftfreq",
+    "rfftfreq",
+]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_helper.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_helper.py
new file mode 100644
index 0000000000000000000000000000000000000000..f6c114bab18d1fc2e12e10ccc2d10f2968b4aaa7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_helper.py
@@ -0,0 +1,235 @@
+"""
+Discrete Fourier Transforms - _helper.py
+
+"""
+from numpy._core import integer, empty, arange, asarray, roll
+from numpy._core.overrides import array_function_dispatch, set_module
+
+# Created by Pearu Peterson, September 2002
+
+__all__ = ['fftshift', 'ifftshift', 'fftfreq', 'rfftfreq']
+
+integer_types = (int, integer)
+
+
+def _fftshift_dispatcher(x, axes=None):
+    return (x,)
+
+
+@array_function_dispatch(_fftshift_dispatcher, module='numpy.fft')
+def fftshift(x, axes=None):
+    """
+    Shift the zero-frequency component to the center of the spectrum.
+
+    This function swaps half-spaces for all axes listed (defaults to all).
+    Note that ``y[0]`` is the Nyquist component only if ``len(x)`` is even.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array.
+    axes : int or shape tuple, optional
+        Axes over which to shift.  Default is None, which shifts all axes.
+
+    Returns
+    -------
+    y : ndarray
+        The shifted array.
+
+    See Also
+    --------
+    ifftshift : The inverse of `fftshift`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> freqs = np.fft.fftfreq(10, 0.1)
+    >>> freqs
+    array([ 0.,  1.,  2., ..., -3., -2., -1.])
+    >>> np.fft.fftshift(freqs)
+    array([-5., -4., -3., -2., -1.,  0.,  1.,  2.,  3.,  4.])
+
+    Shift the zero-frequency component only along the second axis:
+
+    >>> freqs = np.fft.fftfreq(9, d=1./9).reshape(3, 3)
+    >>> freqs
+    array([[ 0.,  1.,  2.],
+           [ 3.,  4., -4.],
+           [-3., -2., -1.]])
+    >>> np.fft.fftshift(freqs, axes=(1,))
+    array([[ 2.,  0.,  1.],
+           [-4.,  3.,  4.],
+           [-1., -3., -2.]])
+
+    """
+    x = asarray(x)
+    if axes is None:
+        axes = tuple(range(x.ndim))
+        shift = [dim // 2 for dim in x.shape]
+    elif isinstance(axes, integer_types):
+        shift = x.shape[axes] // 2
+    else:
+        shift = [x.shape[ax] // 2 for ax in axes]
+
+    return roll(x, shift, axes)
+
+
+@array_function_dispatch(_fftshift_dispatcher, module='numpy.fft')
+def ifftshift(x, axes=None):
+    """
+    The inverse of `fftshift`. Although identical for even-length `x`, the
+    functions differ by one sample for odd-length `x`.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array.
+    axes : int or shape tuple, optional
+        Axes over which to calculate.  Defaults to None, which shifts all axes.
+
+    Returns
+    -------
+    y : ndarray
+        The shifted array.
+
+    See Also
+    --------
+    fftshift : Shift zero-frequency component to the center of the spectrum.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> freqs = np.fft.fftfreq(9, d=1./9).reshape(3, 3)
+    >>> freqs
+    array([[ 0.,  1.,  2.],
+           [ 3.,  4., -4.],
+           [-3., -2., -1.]])
+    >>> np.fft.ifftshift(np.fft.fftshift(freqs))
+    array([[ 0.,  1.,  2.],
+           [ 3.,  4., -4.],
+           [-3., -2., -1.]])
+
+    """
+    x = asarray(x)
+    if axes is None:
+        axes = tuple(range(x.ndim))
+        shift = [-(dim // 2) for dim in x.shape]
+    elif isinstance(axes, integer_types):
+        shift = -(x.shape[axes] // 2)
+    else:
+        shift = [-(x.shape[ax] // 2) for ax in axes]
+
+    return roll(x, shift, axes)
+
+
+@set_module('numpy.fft')
+def fftfreq(n, d=1.0, device=None):
+    """
+    Return the Discrete Fourier Transform sample frequencies.
+
+    The returned float array `f` contains the frequency bin centers in cycles
+    per unit of the sample spacing (with zero at the start).  For instance, if
+    the sample spacing is in seconds, then the frequency unit is cycles/second.
+
+    Given a window length `n` and a sample spacing `d`::
+
+      f = [0, 1, ...,   n/2-1,     -n/2, ..., -1] / (d*n)   if n is even
+      f = [0, 1, ..., (n-1)/2, -(n-1)/2, ..., -1] / (d*n)   if n is odd
+
+    Parameters
+    ----------
+    n : int
+        Window length.
+    d : scalar, optional
+        Sample spacing (inverse of the sampling rate). Defaults to 1.
+    device : str, optional
+        The device on which to place the created array. Default: ``None``.
+        For Array-API interoperability only, so must be ``"cpu"`` if passed.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    f : ndarray
+        Array of length `n` containing the sample frequencies.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> signal = np.array([-2, 8, 6, 4, 1, 0, 3, 5], dtype=float)
+    >>> fourier = np.fft.fft(signal)
+    >>> n = signal.size
+    >>> timestep = 0.1
+    >>> freq = np.fft.fftfreq(n, d=timestep)
+    >>> freq
+    array([ 0.  ,  1.25,  2.5 , ..., -3.75, -2.5 , -1.25])
+
+    """
+    if not isinstance(n, integer_types):
+        raise ValueError("n should be an integer")
+    val = 1.0 / (n * d)
+    results = empty(n, int, device=device)
+    N = (n-1)//2 + 1
+    p1 = arange(0, N, dtype=int, device=device)
+    results[:N] = p1
+    p2 = arange(-(n//2), 0, dtype=int, device=device)
+    results[N:] = p2
+    return results * val
+
+
+@set_module('numpy.fft')
+def rfftfreq(n, d=1.0, device=None):
+    """
+    Return the Discrete Fourier Transform sample frequencies
+    (for usage with rfft, irfft).
+
+    The returned float array `f` contains the frequency bin centers in cycles
+    per unit of the sample spacing (with zero at the start).  For instance, if
+    the sample spacing is in seconds, then the frequency unit is cycles/second.
+
+    Given a window length `n` and a sample spacing `d`::
+
+      f = [0, 1, ...,     n/2-1,     n/2] / (d*n)   if n is even
+      f = [0, 1, ..., (n-1)/2-1, (n-1)/2] / (d*n)   if n is odd
+
+    Unlike `fftfreq` (but like `scipy.fftpack.rfftfreq`)
+    the Nyquist frequency component is considered to be positive.
+
+    Parameters
+    ----------
+    n : int
+        Window length.
+    d : scalar, optional
+        Sample spacing (inverse of the sampling rate). Defaults to 1.
+    device : str, optional
+        The device on which to place the created array. Default: ``None``.
+        For Array-API interoperability only, so must be ``"cpu"`` if passed.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    f : ndarray
+        Array of length ``n//2 + 1`` containing the sample frequencies.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> signal = np.array([-2, 8, 6, 4, 1, 0, 3, 5, -3, 4], dtype=float)
+    >>> fourier = np.fft.rfft(signal)
+    >>> n = signal.size
+    >>> sample_rate = 100
+    >>> freq = np.fft.fftfreq(n, d=1./sample_rate)
+    >>> freq
+    array([  0.,  10.,  20., ..., -30., -20., -10.])
+    >>> freq = np.fft.rfftfreq(n, d=1./sample_rate)
+    >>> freq
+    array([  0.,  10.,  20.,  30.,  40.,  50.])
+
+    """
+    if not isinstance(n, integer_types):
+        raise ValueError("n should be an integer")
+    val = 1.0/(n*d)
+    N = n//2 + 1
+    results = arange(0, N, dtype=int, device=device)
+    return results * val
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_helper.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_helper.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..7673c1800a921cf166bf8f104054166a7c8e31be
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_helper.pyi
@@ -0,0 +1,38 @@
+from typing import Any, Final, TypeVar, overload
+from typing import Literal as L
+
+from numpy import complexfloating, floating, generic, integer
+from numpy._typing import ArrayLike, NDArray, _ArrayLike, _ArrayLikeComplex_co, _ArrayLikeFloat_co, _ShapeLike
+
+__all__ = ["fftfreq", "fftshift", "ifftshift", "rfftfreq"]
+
+_SCT = TypeVar("_SCT", bound=generic)
+
+###
+
+integer_types: Final[tuple[type[int], type[integer]]] = ...
+
+###
+
+@overload
+def fftshift(x: _ArrayLike[_SCT], axes: _ShapeLike | None = None) -> NDArray[_SCT]: ...
+@overload
+def fftshift(x: ArrayLike, axes: _ShapeLike | None = None) -> NDArray[Any]: ...
+
+#
+@overload
+def ifftshift(x: _ArrayLike[_SCT], axes: _ShapeLike | None = None) -> NDArray[_SCT]: ...
+@overload
+def ifftshift(x: ArrayLike, axes: _ShapeLike | None = None) -> NDArray[Any]: ...
+
+#
+@overload
+def fftfreq(n: int | integer, d: _ArrayLikeFloat_co = 1.0, device: L["cpu"] | None = None) -> NDArray[floating]: ...
+@overload
+def fftfreq(n: int | integer, d: _ArrayLikeComplex_co = 1.0, device: L["cpu"] | None = None) -> NDArray[complexfloating]: ...
+
+#
+@overload
+def rfftfreq(n: int | integer, d: _ArrayLikeFloat_co = 1.0, device: L["cpu"] | None = None) -> NDArray[floating]: ...
+@overload
+def rfftfreq(n: int | integer, d: _ArrayLikeComplex_co = 1.0, device: L["cpu"] | None = None) -> NDArray[complexfloating]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft.py
new file mode 100644
index 0000000000000000000000000000000000000000..c5b5bfdd8372915268dc5597b13d57d0db8923fa
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft.py
@@ -0,0 +1,1687 @@
+"""
+Discrete Fourier Transforms
+
+Routines in this module:
+
+fft(a, n=None, axis=-1, norm="backward")
+ifft(a, n=None, axis=-1, norm="backward")
+rfft(a, n=None, axis=-1, norm="backward")
+irfft(a, n=None, axis=-1, norm="backward")
+hfft(a, n=None, axis=-1, norm="backward")
+ihfft(a, n=None, axis=-1, norm="backward")
+fftn(a, s=None, axes=None, norm="backward")
+ifftn(a, s=None, axes=None, norm="backward")
+rfftn(a, s=None, axes=None, norm="backward")
+irfftn(a, s=None, axes=None, norm="backward")
+fft2(a, s=None, axes=(-2,-1), norm="backward")
+ifft2(a, s=None, axes=(-2, -1), norm="backward")
+rfft2(a, s=None, axes=(-2,-1), norm="backward")
+irfft2(a, s=None, axes=(-2, -1), norm="backward")
+
+i = inverse transform
+r = transform of purely real data
+h = Hermite transform
+n = n-dimensional transform
+2 = 2-dimensional transform
+(Note: 2D routines are just nD routines with different default
+behavior.)
+
+"""
+__all__ = ['fft', 'ifft', 'rfft', 'irfft', 'hfft', 'ihfft', 'rfftn',
+           'irfftn', 'rfft2', 'irfft2', 'fft2', 'ifft2', 'fftn', 'ifftn']
+
+import functools
+import warnings
+
+from numpy.lib.array_utils import normalize_axis_index
+from numpy._core import (asarray, empty_like, result_type,
+                         conjugate, take, sqrt, reciprocal)
+from . import _pocketfft_umath as pfu
+from numpy._core import overrides
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy.fft')
+
+
+# `inv_norm` is a float by which the result of the transform needs to be
+# divided. This replaces the original, more intuitive 'fct` parameter to avoid
+# divisions by zero (or alternatively additional checks) in the case of
+# zero-length axes during its computation.
+def _raw_fft(a, n, axis, is_real, is_forward, norm, out=None):
+    if n < 1:
+        raise ValueError(f"Invalid number of FFT data points ({n}) specified.")
+
+    # Calculate the normalization factor, passing in the array dtype to
+    # avoid precision loss in the possible sqrt or reciprocal.
+    if not is_forward:
+        norm = _swap_direction(norm)
+
+    real_dtype = result_type(a.real.dtype, 1.0)
+    if norm is None or norm == "backward":
+        fct = 1
+    elif norm == "ortho":
+        fct = reciprocal(sqrt(n, dtype=real_dtype))
+    elif norm == "forward":
+        fct = reciprocal(n, dtype=real_dtype)
+    else:
+        raise ValueError(f'Invalid norm value {norm}; should be "backward",'
+                         '"ortho" or "forward".')
+
+    n_out = n
+    if is_real:
+        if is_forward:
+            ufunc = pfu.rfft_n_even if n % 2 == 0 else pfu.rfft_n_odd
+            n_out = n // 2 + 1
+        else:
+            ufunc = pfu.irfft
+    else:
+        ufunc = pfu.fft if is_forward else pfu.ifft
+
+    axis = normalize_axis_index(axis, a.ndim)
+
+    if out is None:
+        if is_real and not is_forward:  # irfft, complex in, real output.
+            out_dtype = real_dtype
+        else:  # Others, complex output.
+            out_dtype = result_type(a.dtype, 1j)
+        out = empty_like(a, shape=a.shape[:axis] + (n_out,) + a.shape[axis+1:],
+                         dtype=out_dtype)
+    elif ((shape := getattr(out, "shape", None)) is not None
+          and (len(shape) != a.ndim or shape[axis] != n_out)):
+        raise ValueError("output array has wrong shape.")
+
+    return ufunc(a, fct, axes=[(axis,), (), (axis,)], out=out)
+
+
+_SWAP_DIRECTION_MAP = {"backward": "forward", None: "forward",
+                       "ortho": "ortho", "forward": "backward"}
+
+
+def _swap_direction(norm):
+    try:
+        return _SWAP_DIRECTION_MAP[norm]
+    except KeyError:
+        raise ValueError(f'Invalid norm value {norm}; should be "backward", '
+                         '"ortho" or "forward".') from None
+
+
+def _fft_dispatcher(a, n=None, axis=None, norm=None, out=None):
+    return (a, out)
+
+
+@array_function_dispatch(_fft_dispatcher)
+def fft(a, n=None, axis=-1, norm=None, out=None):
+    """
+    Compute the one-dimensional discrete Fourier Transform.
+
+    This function computes the one-dimensional *n*-point discrete Fourier
+    Transform (DFT) with the efficient Fast Fourier Transform (FFT)
+    algorithm [CT].
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, can be complex.
+    n : int, optional
+        Length of the transformed axis of the output.
+        If `n` is smaller than the length of the input, the input is cropped.
+        If it is larger, the input is padded with zeros.  If `n` is not given,
+        the length of the input along the axis specified by `axis` is used.
+    axis : int, optional
+        Axis over which to compute the FFT.  If not given, the last axis is
+        used.
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axis
+        indicated by `axis`, or the last one if `axis` is not specified.
+
+    Raises
+    ------
+    IndexError
+        If `axis` is not a valid axis of `a`.
+
+    See Also
+    --------
+    numpy.fft : for definition of the DFT and conventions used.
+    ifft : The inverse of `fft`.
+    fft2 : The two-dimensional FFT.
+    fftn : The *n*-dimensional FFT.
+    rfftn : The *n*-dimensional FFT of real input.
+    fftfreq : Frequency bins for given FFT parameters.
+
+    Notes
+    -----
+    FFT (Fast Fourier Transform) refers to a way the discrete Fourier
+    Transform (DFT) can be calculated efficiently, by using symmetries in the
+    calculated terms.  The symmetry is highest when `n` is a power of 2, and
+    the transform is therefore most efficient for these sizes.
+
+    The DFT is defined, with the conventions used in this implementation, in
+    the documentation for the `numpy.fft` module.
+
+    References
+    ----------
+    .. [CT] Cooley, James W., and John W. Tukey, 1965, "An algorithm for the
+            machine calculation of complex Fourier series," *Math. Comput.*
+            19: 297-301.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.fft.fft(np.exp(2j * np.pi * np.arange(8) / 8))
+    array([-2.33486982e-16+1.14423775e-17j,  8.00000000e+00-1.25557246e-15j,
+            2.33486982e-16+2.33486982e-16j,  0.00000000e+00+1.22464680e-16j,
+           -1.14423775e-17+2.33486982e-16j,  0.00000000e+00+5.20784380e-16j,
+            1.14423775e-17+1.14423775e-17j,  0.00000000e+00+1.22464680e-16j])
+
+    In this example, real input has an FFT which is Hermitian, i.e., symmetric
+    in the real part and anti-symmetric in the imaginary part, as described in
+    the `numpy.fft` documentation:
+
+    >>> import matplotlib.pyplot as plt
+    >>> t = np.arange(256)
+    >>> sp = np.fft.fft(np.sin(t))
+    >>> freq = np.fft.fftfreq(t.shape[-1])
+    >>> plt.plot(freq, sp.real, freq, sp.imag)
+    [, ]
+    >>> plt.show()
+
+    """
+    a = asarray(a)
+    if n is None:
+        n = a.shape[axis]
+    output = _raw_fft(a, n, axis, False, True, norm, out)
+    return output
+
+
+@array_function_dispatch(_fft_dispatcher)
+def ifft(a, n=None, axis=-1, norm=None, out=None):
+    """
+    Compute the one-dimensional inverse discrete Fourier Transform.
+
+    This function computes the inverse of the one-dimensional *n*-point
+    discrete Fourier transform computed by `fft`.  In other words,
+    ``ifft(fft(a)) == a`` to within numerical accuracy.
+    For a general description of the algorithm and definitions,
+    see `numpy.fft`.
+
+    The input should be ordered in the same way as is returned by `fft`,
+    i.e.,
+
+    * ``a[0]`` should contain the zero frequency term,
+    * ``a[1:n//2]`` should contain the positive-frequency terms,
+    * ``a[n//2 + 1:]`` should contain the negative-frequency terms, in
+      increasing order starting from the most negative frequency.
+
+    For an even number of input points, ``A[n//2]`` represents the sum of
+    the values at the positive and negative Nyquist frequencies, as the two
+    are aliased together. See `numpy.fft` for details.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, can be complex.
+    n : int, optional
+        Length of the transformed axis of the output.
+        If `n` is smaller than the length of the input, the input is cropped.
+        If it is larger, the input is padded with zeros.  If `n` is not given,
+        the length of the input along the axis specified by `axis` is used.
+        See notes about padding issues.
+    axis : int, optional
+        Axis over which to compute the inverse DFT.  If not given, the last
+        axis is used.
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axis
+        indicated by `axis`, or the last one if `axis` is not specified.
+
+    Raises
+    ------
+    IndexError
+        If `axis` is not a valid axis of `a`.
+
+    See Also
+    --------
+    numpy.fft : An introduction, with definitions and general explanations.
+    fft : The one-dimensional (forward) FFT, of which `ifft` is the inverse
+    ifft2 : The two-dimensional inverse FFT.
+    ifftn : The n-dimensional inverse FFT.
+
+    Notes
+    -----
+    If the input parameter `n` is larger than the size of the input, the input
+    is padded by appending zeros at the end.  Even though this is the common
+    approach, it might lead to surprising results.  If a different padding is
+    desired, it must be performed before calling `ifft`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.fft.ifft([0, 4, 0, 0])
+    array([ 1.+0.j,  0.+1.j, -1.+0.j,  0.-1.j]) # may vary
+
+    Create and plot a band-limited signal with random phases:
+
+    >>> import matplotlib.pyplot as plt
+    >>> t = np.arange(400)
+    >>> n = np.zeros((400,), dtype=complex)
+    >>> n[40:60] = np.exp(1j*np.random.uniform(0, 2*np.pi, (20,)))
+    >>> s = np.fft.ifft(n)
+    >>> plt.plot(t, s.real, label='real')
+    []
+    >>> plt.plot(t, s.imag, '--', label='imaginary')
+    []
+    >>> plt.legend()
+    
+    >>> plt.show()
+
+    """
+    a = asarray(a)
+    if n is None:
+        n = a.shape[axis]
+    output = _raw_fft(a, n, axis, False, False, norm, out=out)
+    return output
+
+
+@array_function_dispatch(_fft_dispatcher)
+def rfft(a, n=None, axis=-1, norm=None, out=None):
+    """
+    Compute the one-dimensional discrete Fourier Transform for real input.
+
+    This function computes the one-dimensional *n*-point discrete Fourier
+    Transform (DFT) of a real-valued array by means of an efficient algorithm
+    called the Fast Fourier Transform (FFT).
+
+    Parameters
+    ----------
+    a : array_like
+        Input array
+    n : int, optional
+        Number of points along transformation axis in the input to use.
+        If `n` is smaller than the length of the input, the input is cropped.
+        If it is larger, the input is padded with zeros. If `n` is not given,
+        the length of the input along the axis specified by `axis` is used.
+    axis : int, optional
+        Axis over which to compute the FFT. If not given, the last axis is
+        used.
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axis
+        indicated by `axis`, or the last one if `axis` is not specified.
+        If `n` is even, the length of the transformed axis is ``(n/2)+1``.
+        If `n` is odd, the length is ``(n+1)/2``.
+
+    Raises
+    ------
+    IndexError
+        If `axis` is not a valid axis of `a`.
+
+    See Also
+    --------
+    numpy.fft : For definition of the DFT and conventions used.
+    irfft : The inverse of `rfft`.
+    fft : The one-dimensional FFT of general (complex) input.
+    fftn : The *n*-dimensional FFT.
+    rfftn : The *n*-dimensional FFT of real input.
+
+    Notes
+    -----
+    When the DFT is computed for purely real input, the output is
+    Hermitian-symmetric, i.e. the negative frequency terms are just the complex
+    conjugates of the corresponding positive-frequency terms, and the
+    negative-frequency terms are therefore redundant.  This function does not
+    compute the negative frequency terms, and the length of the transformed
+    axis of the output is therefore ``n//2 + 1``.
+
+    When ``A = rfft(a)`` and fs is the sampling frequency, ``A[0]`` contains
+    the zero-frequency term 0*fs, which is real due to Hermitian symmetry.
+
+    If `n` is even, ``A[-1]`` contains the term representing both positive
+    and negative Nyquist frequency (+fs/2 and -fs/2), and must also be purely
+    real. If `n` is odd, there is no term at fs/2; ``A[-1]`` contains
+    the largest positive frequency (fs/2*(n-1)/n), and is complex in the
+    general case.
+
+    If the input `a` contains an imaginary part, it is silently discarded.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.fft.fft([0, 1, 0, 0])
+    array([ 1.+0.j,  0.-1.j, -1.+0.j,  0.+1.j]) # may vary
+    >>> np.fft.rfft([0, 1, 0, 0])
+    array([ 1.+0.j,  0.-1.j, -1.+0.j]) # may vary
+
+    Notice how the final element of the `fft` output is the complex conjugate
+    of the second element, for real input. For `rfft`, this symmetry is
+    exploited to compute only the non-negative frequency terms.
+
+    """
+    a = asarray(a)
+    if n is None:
+        n = a.shape[axis]
+    output = _raw_fft(a, n, axis, True, True, norm, out=out)
+    return output
+
+
+@array_function_dispatch(_fft_dispatcher)
+def irfft(a, n=None, axis=-1, norm=None, out=None):
+    """
+    Computes the inverse of `rfft`.
+
+    This function computes the inverse of the one-dimensional *n*-point
+    discrete Fourier Transform of real input computed by `rfft`.
+    In other words, ``irfft(rfft(a), len(a)) == a`` to within numerical
+    accuracy. (See Notes below for why ``len(a)`` is necessary here.)
+
+    The input is expected to be in the form returned by `rfft`, i.e. the
+    real zero-frequency term followed by the complex positive frequency terms
+    in order of increasing frequency.  Since the discrete Fourier Transform of
+    real input is Hermitian-symmetric, the negative frequency terms are taken
+    to be the complex conjugates of the corresponding positive frequency terms.
+
+    Parameters
+    ----------
+    a : array_like
+        The input array.
+    n : int, optional
+        Length of the transformed axis of the output.
+        For `n` output points, ``n//2+1`` input points are necessary.  If the
+        input is longer than this, it is cropped.  If it is shorter than this,
+        it is padded with zeros.  If `n` is not given, it is taken to be
+        ``2*(m-1)`` where ``m`` is the length of the input along the axis
+        specified by `axis`.
+    axis : int, optional
+        Axis over which to compute the inverse FFT. If not given, the last
+        axis is used.
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : ndarray
+        The truncated or zero-padded input, transformed along the axis
+        indicated by `axis`, or the last one if `axis` is not specified.
+        The length of the transformed axis is `n`, or, if `n` is not given,
+        ``2*(m-1)`` where ``m`` is the length of the transformed axis of the
+        input. To get an odd number of output points, `n` must be specified.
+
+    Raises
+    ------
+    IndexError
+        If `axis` is not a valid axis of `a`.
+
+    See Also
+    --------
+    numpy.fft : For definition of the DFT and conventions used.
+    rfft : The one-dimensional FFT of real input, of which `irfft` is inverse.
+    fft : The one-dimensional FFT.
+    irfft2 : The inverse of the two-dimensional FFT of real input.
+    irfftn : The inverse of the *n*-dimensional FFT of real input.
+
+    Notes
+    -----
+    Returns the real valued `n`-point inverse discrete Fourier transform
+    of `a`, where `a` contains the non-negative frequency terms of a
+    Hermitian-symmetric sequence. `n` is the length of the result, not the
+    input.
+
+    If you specify an `n` such that `a` must be zero-padded or truncated, the
+    extra/removed values will be added/removed at high frequencies. One can
+    thus resample a series to `m` points via Fourier interpolation by:
+    ``a_resamp = irfft(rfft(a), m)``.
+
+    The correct interpretation of the hermitian input depends on the length of
+    the original data, as given by `n`. This is because each input shape could
+    correspond to either an odd or even length signal. By default, `irfft`
+    assumes an even output length which puts the last entry at the Nyquist
+    frequency; aliasing with its symmetric counterpart. By Hermitian symmetry,
+    the value is thus treated as purely real. To avoid losing information, the
+    correct length of the real input **must** be given.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.fft.ifft([1, -1j, -1, 1j])
+    array([0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j]) # may vary
+    >>> np.fft.irfft([1, -1j, -1])
+    array([0.,  1.,  0.,  0.])
+
+    Notice how the last term in the input to the ordinary `ifft` is the
+    complex conjugate of the second term, and the output has zero imaginary
+    part everywhere.  When calling `irfft`, the negative frequencies are not
+    specified, and the output array is purely real.
+
+    """
+    a = asarray(a)
+    if n is None:
+        n = (a.shape[axis] - 1) * 2
+    output = _raw_fft(a, n, axis, True, False, norm, out=out)
+    return output
+
+
+@array_function_dispatch(_fft_dispatcher)
+def hfft(a, n=None, axis=-1, norm=None, out=None):
+    """
+    Compute the FFT of a signal that has Hermitian symmetry, i.e., a real
+    spectrum.
+
+    Parameters
+    ----------
+    a : array_like
+        The input array.
+    n : int, optional
+        Length of the transformed axis of the output. For `n` output
+        points, ``n//2 + 1`` input points are necessary.  If the input is
+        longer than this, it is cropped.  If it is shorter than this, it is
+        padded with zeros.  If `n` is not given, it is taken to be ``2*(m-1)``
+        where ``m`` is the length of the input along the axis specified by
+        `axis`.
+    axis : int, optional
+        Axis over which to compute the FFT. If not given, the last
+        axis is used.
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : ndarray
+        The truncated or zero-padded input, transformed along the axis
+        indicated by `axis`, or the last one if `axis` is not specified.
+        The length of the transformed axis is `n`, or, if `n` is not given,
+        ``2*m - 2`` where ``m`` is the length of the transformed axis of
+        the input. To get an odd number of output points, `n` must be
+        specified, for instance as ``2*m - 1`` in the typical case,
+
+    Raises
+    ------
+    IndexError
+        If `axis` is not a valid axis of `a`.
+
+    See also
+    --------
+    rfft : Compute the one-dimensional FFT for real input.
+    ihfft : The inverse of `hfft`.
+
+    Notes
+    -----
+    `hfft`/`ihfft` are a pair analogous to `rfft`/`irfft`, but for the
+    opposite case: here the signal has Hermitian symmetry in the time
+    domain and is real in the frequency domain. So here it's `hfft` for
+    which you must supply the length of the result if it is to be odd.
+
+    * even: ``ihfft(hfft(a, 2*len(a) - 2)) == a``, within roundoff error,
+    * odd: ``ihfft(hfft(a, 2*len(a) - 1)) == a``, within roundoff error.
+
+    The correct interpretation of the hermitian input depends on the length of
+    the original data, as given by `n`. This is because each input shape could
+    correspond to either an odd or even length signal. By default, `hfft`
+    assumes an even output length which puts the last entry at the Nyquist
+    frequency; aliasing with its symmetric counterpart. By Hermitian symmetry,
+    the value is thus treated as purely real. To avoid losing information, the
+    shape of the full signal **must** be given.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> signal = np.array([1, 2, 3, 4, 3, 2])
+    >>> np.fft.fft(signal)
+    array([15.+0.j,  -4.+0.j,   0.+0.j,  -1.-0.j,   0.+0.j,  -4.+0.j]) # may vary
+    >>> np.fft.hfft(signal[:4]) # Input first half of signal
+    array([15.,  -4.,   0.,  -1.,   0.,  -4.])
+    >>> np.fft.hfft(signal, 6)  # Input entire signal and truncate
+    array([15.,  -4.,   0.,  -1.,   0.,  -4.])
+
+
+    >>> signal = np.array([[1, 1.j], [-1.j, 2]])
+    >>> np.conj(signal.T) - signal   # check Hermitian symmetry
+    array([[ 0.-0.j,  -0.+0.j], # may vary
+           [ 0.+0.j,  0.-0.j]])
+    >>> freq_spectrum = np.fft.hfft(signal)
+    >>> freq_spectrum
+    array([[ 1.,  1.],
+           [ 2., -2.]])
+
+    """
+    a = asarray(a)
+    if n is None:
+        n = (a.shape[axis] - 1) * 2
+    new_norm = _swap_direction(norm)
+    output = irfft(conjugate(a), n, axis, norm=new_norm, out=None)
+    return output
+
+
+@array_function_dispatch(_fft_dispatcher)
+def ihfft(a, n=None, axis=-1, norm=None, out=None):
+    """
+    Compute the inverse FFT of a signal that has Hermitian symmetry.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array.
+    n : int, optional
+        Length of the inverse FFT, the number of points along
+        transformation axis in the input to use.  If `n` is smaller than
+        the length of the input, the input is cropped.  If it is larger,
+        the input is padded with zeros. If `n` is not given, the length of
+        the input along the axis specified by `axis` is used.
+    axis : int, optional
+        Axis over which to compute the inverse FFT. If not given, the last
+        axis is used.
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axis
+        indicated by `axis`, or the last one if `axis` is not specified.
+        The length of the transformed axis is ``n//2 + 1``.
+
+    See also
+    --------
+    hfft, irfft
+
+    Notes
+    -----
+    `hfft`/`ihfft` are a pair analogous to `rfft`/`irfft`, but for the
+    opposite case: here the signal has Hermitian symmetry in the time
+    domain and is real in the frequency domain. So here it's `hfft` for
+    which you must supply the length of the result if it is to be odd:
+
+    * even: ``ihfft(hfft(a, 2*len(a) - 2)) == a``, within roundoff error,
+    * odd: ``ihfft(hfft(a, 2*len(a) - 1)) == a``, within roundoff error.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> spectrum = np.array([ 15, -4, 0, -1, 0, -4])
+    >>> np.fft.ifft(spectrum)
+    array([1.+0.j,  2.+0.j,  3.+0.j,  4.+0.j,  3.+0.j,  2.+0.j]) # may vary
+    >>> np.fft.ihfft(spectrum)
+    array([ 1.-0.j,  2.-0.j,  3.-0.j,  4.-0.j]) # may vary
+
+    """
+    a = asarray(a)
+    if n is None:
+        n = a.shape[axis]
+    new_norm = _swap_direction(norm)
+    out = rfft(a, n, axis, norm=new_norm, out=out)
+    return conjugate(out, out=out)
+
+
+def _cook_nd_args(a, s=None, axes=None, invreal=0):
+    if s is None:
+        shapeless = True
+        if axes is None:
+            s = list(a.shape)
+        else:
+            s = take(a.shape, axes)
+    else:
+        shapeless = False
+    s = list(s)
+    if axes is None:
+        if not shapeless:
+            msg = ("`axes` should not be `None` if `s` is not `None` "
+                   "(Deprecated in NumPy 2.0). In a future version of NumPy, "
+                   "this will raise an error and `s[i]` will correspond to "
+                   "the size along the transformed axis specified by "
+                   "`axes[i]`. To retain current behaviour, pass a sequence "
+                   "[0, ..., k-1] to `axes` for an array of dimension k.")
+            warnings.warn(msg, DeprecationWarning, stacklevel=3)
+        axes = list(range(-len(s), 0))
+    if len(s) != len(axes):
+        raise ValueError("Shape and axes have different lengths.")
+    if invreal and shapeless:
+        s[-1] = (a.shape[axes[-1]] - 1) * 2
+    if None in s:
+        msg = ("Passing an array containing `None` values to `s` is "
+               "deprecated in NumPy 2.0 and will raise an error in "
+               "a future version of NumPy. To use the default behaviour "
+               "of the corresponding 1-D transform, pass the value matching "
+               "the default for its `n` parameter. To use the default "
+               "behaviour for every axis, the `s` argument can be omitted.")
+        warnings.warn(msg, DeprecationWarning, stacklevel=3)
+    # use the whole input array along axis `i` if `s[i] == -1`
+    s = [a.shape[_a] if _s == -1 else _s for _s, _a in zip(s, axes)]
+    return s, axes
+
+
+def _raw_fftnd(a, s=None, axes=None, function=fft, norm=None, out=None):
+    a = asarray(a)
+    s, axes = _cook_nd_args(a, s, axes)
+    itl = list(range(len(axes)))
+    itl.reverse()
+    for ii in itl:
+        a = function(a, n=s[ii], axis=axes[ii], norm=norm, out=out)
+    return a
+
+
+def _fftn_dispatcher(a, s=None, axes=None, norm=None, out=None):
+    return (a, out)
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def fftn(a, s=None, axes=None, norm=None, out=None):
+    """
+    Compute the N-dimensional discrete Fourier Transform.
+
+    This function computes the *N*-dimensional discrete Fourier Transform over
+    any number of axes in an *M*-dimensional array by means of the Fast Fourier
+    Transform (FFT).
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, can be complex.
+    s : sequence of ints, optional
+        Shape (length of each transformed axis) of the output
+        (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.).
+        This corresponds to ``n`` for ``fft(x, n)``.
+        Along any axis, if the given shape is smaller than that of the input,
+        the input is cropped. If it is larger, the input is padded with zeros.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        If `s` is not given, the shape of the input along the axes specified
+        by `axes` is used.
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        Axes over which to compute the FFT.  If not given, the last ``len(s)``
+        axes are used, or all axes if `s` is also not specified.
+        Repeated indices in `axes` means that the transform over that axis is
+        performed multiple times.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must be explicitly specified too.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for all axes (and hence is
+        incompatible with passing in all but the trivial ``s``).
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axes
+        indicated by `axes`, or by a combination of `s` and `a`,
+        as explained in the parameters section above.
+
+    Raises
+    ------
+    ValueError
+        If `s` and `axes` have different length.
+    IndexError
+        If an element of `axes` is larger than than the number of axes of `a`.
+
+    See Also
+    --------
+    numpy.fft : Overall view of discrete Fourier transforms, with definitions
+        and conventions used.
+    ifftn : The inverse of `fftn`, the inverse *n*-dimensional FFT.
+    fft : The one-dimensional FFT, with definitions and conventions used.
+    rfftn : The *n*-dimensional FFT of real input.
+    fft2 : The two-dimensional FFT.
+    fftshift : Shifts zero-frequency terms to centre of array
+
+    Notes
+    -----
+    The output, analogously to `fft`, contains the term for zero frequency in
+    the low-order corner of all axes, the positive frequency terms in the
+    first half of all axes, the term for the Nyquist frequency in the middle
+    of all axes and the negative frequency terms in the second half of all
+    axes, in order of decreasingly negative frequency.
+
+    See `numpy.fft` for details, definitions and conventions used.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.mgrid[:3, :3, :3][0]
+    >>> np.fft.fftn(a, axes=(1, 2))
+    array([[[ 0.+0.j,   0.+0.j,   0.+0.j], # may vary
+            [ 0.+0.j,   0.+0.j,   0.+0.j],
+            [ 0.+0.j,   0.+0.j,   0.+0.j]],
+           [[ 9.+0.j,   0.+0.j,   0.+0.j],
+            [ 0.+0.j,   0.+0.j,   0.+0.j],
+            [ 0.+0.j,   0.+0.j,   0.+0.j]],
+           [[18.+0.j,   0.+0.j,   0.+0.j],
+            [ 0.+0.j,   0.+0.j,   0.+0.j],
+            [ 0.+0.j,   0.+0.j,   0.+0.j]]])
+    >>> np.fft.fftn(a, (2, 2), axes=(0, 1))
+    array([[[ 2.+0.j,  2.+0.j,  2.+0.j], # may vary
+            [ 0.+0.j,  0.+0.j,  0.+0.j]],
+           [[-2.+0.j, -2.+0.j, -2.+0.j],
+            [ 0.+0.j,  0.+0.j,  0.+0.j]]])
+
+    >>> import matplotlib.pyplot as plt
+    >>> [X, Y] = np.meshgrid(2 * np.pi * np.arange(200) / 12,
+    ...                      2 * np.pi * np.arange(200) / 34)
+    >>> S = np.sin(X) + np.cos(Y) + np.random.uniform(0, 1, X.shape)
+    >>> FS = np.fft.fftn(S)
+    >>> plt.imshow(np.log(np.abs(np.fft.fftshift(FS))**2))
+    
+    >>> plt.show()
+
+    """
+    return _raw_fftnd(a, s, axes, fft, norm, out=out)
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def ifftn(a, s=None, axes=None, norm=None, out=None):
+    """
+    Compute the N-dimensional inverse discrete Fourier Transform.
+
+    This function computes the inverse of the N-dimensional discrete
+    Fourier Transform over any number of axes in an M-dimensional array by
+    means of the Fast Fourier Transform (FFT).  In other words,
+    ``ifftn(fftn(a)) == a`` to within numerical accuracy.
+    For a description of the definitions and conventions used, see `numpy.fft`.
+
+    The input, analogously to `ifft`, should be ordered in the same way as is
+    returned by `fftn`, i.e. it should have the term for zero frequency
+    in all axes in the low-order corner, the positive frequency terms in the
+    first half of all axes, the term for the Nyquist frequency in the middle
+    of all axes and the negative frequency terms in the second half of all
+    axes, in order of decreasingly negative frequency.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, can be complex.
+    s : sequence of ints, optional
+        Shape (length of each transformed axis) of the output
+        (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.).
+        This corresponds to ``n`` for ``ifft(x, n)``.
+        Along any axis, if the given shape is smaller than that of the input,
+        the input is cropped. If it is larger, the input is padded with zeros.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        If `s` is not given, the shape of the input along the axes specified
+        by `axes` is used. See notes for issue on `ifft` zero padding.
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        Axes over which to compute the IFFT.  If not given, the last ``len(s)``
+        axes are used, or all axes if `s` is also not specified.
+        Repeated indices in `axes` means that the inverse transform over that
+        axis is performed multiple times.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must be explicitly specified too.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for all axes (and hence is
+        incompatible with passing in all but the trivial ``s``).
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axes
+        indicated by `axes`, or by a combination of `s` or `a`,
+        as explained in the parameters section above.
+
+    Raises
+    ------
+    ValueError
+        If `s` and `axes` have different length.
+    IndexError
+        If an element of `axes` is larger than than the number of axes of `a`.
+
+    See Also
+    --------
+    numpy.fft : Overall view of discrete Fourier transforms, with definitions
+         and conventions used.
+    fftn : The forward *n*-dimensional FFT, of which `ifftn` is the inverse.
+    ifft : The one-dimensional inverse FFT.
+    ifft2 : The two-dimensional inverse FFT.
+    ifftshift : Undoes `fftshift`, shifts zero-frequency terms to beginning
+        of array.
+
+    Notes
+    -----
+    See `numpy.fft` for definitions and conventions used.
+
+    Zero-padding, analogously with `ifft`, is performed by appending zeros to
+    the input along the specified dimension.  Although this is the common
+    approach, it might lead to surprising results.  If another form of zero
+    padding is desired, it must be performed before `ifftn` is called.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.eye(4)
+    >>> np.fft.ifftn(np.fft.fftn(a, axes=(0,)), axes=(1,))
+    array([[1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j], # may vary
+           [0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j],
+           [0.+0.j,  0.+0.j,  1.+0.j,  0.+0.j],
+           [0.+0.j,  0.+0.j,  0.+0.j,  1.+0.j]])
+
+
+    Create and plot an image with band-limited frequency content:
+
+    >>> import matplotlib.pyplot as plt
+    >>> n = np.zeros((200,200), dtype=complex)
+    >>> n[60:80, 20:40] = np.exp(1j*np.random.uniform(0, 2*np.pi, (20, 20)))
+    >>> im = np.fft.ifftn(n).real
+    >>> plt.imshow(im)
+    
+    >>> plt.show()
+
+    """
+    return _raw_fftnd(a, s, axes, ifft, norm, out=out)
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def fft2(a, s=None, axes=(-2, -1), norm=None, out=None):
+    """
+    Compute the 2-dimensional discrete Fourier Transform.
+
+    This function computes the *n*-dimensional discrete Fourier Transform
+    over any axes in an *M*-dimensional array by means of the
+    Fast Fourier Transform (FFT).  By default, the transform is computed over
+    the last two axes of the input array, i.e., a 2-dimensional FFT.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, can be complex
+    s : sequence of ints, optional
+        Shape (length of each transformed axis) of the output
+        (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.).
+        This corresponds to ``n`` for ``fft(x, n)``.
+        Along each axis, if the given shape is smaller than that of the input,
+        the input is cropped. If it is larger, the input is padded with zeros.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        If `s` is not given, the shape of the input along the axes specified
+        by `axes` is used.
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        Axes over which to compute the FFT.  If not given, the last two
+        axes are used.  A repeated index in `axes` means the transform over
+        that axis is performed multiple times.  A one-element sequence means
+        that a one-dimensional FFT is performed. Default: ``(-2, -1)``.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must not be ``None``.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for all axes (and hence only the
+        last axis can have ``s`` not equal to the shape at that axis).
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axes
+        indicated by `axes`, or the last two axes if `axes` is not given.
+
+    Raises
+    ------
+    ValueError
+        If `s` and `axes` have different length, or `axes` not given and
+        ``len(s) != 2``.
+    IndexError
+        If an element of `axes` is larger than than the number of axes of `a`.
+
+    See Also
+    --------
+    numpy.fft : Overall view of discrete Fourier transforms, with definitions
+         and conventions used.
+    ifft2 : The inverse two-dimensional FFT.
+    fft : The one-dimensional FFT.
+    fftn : The *n*-dimensional FFT.
+    fftshift : Shifts zero-frequency terms to the center of the array.
+        For two-dimensional input, swaps first and third quadrants, and second
+        and fourth quadrants.
+
+    Notes
+    -----
+    `fft2` is just `fftn` with a different default for `axes`.
+
+    The output, analogously to `fft`, contains the term for zero frequency in
+    the low-order corner of the transformed axes, the positive frequency terms
+    in the first half of these axes, the term for the Nyquist frequency in the
+    middle of the axes and the negative frequency terms in the second half of
+    the axes, in order of decreasingly negative frequency.
+
+    See `fftn` for details and a plotting example, and `numpy.fft` for
+    definitions and conventions used.
+
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.mgrid[:5, :5][0]
+    >>> np.fft.fft2(a)
+    array([[ 50.  +0.j        ,   0.  +0.j        ,   0.  +0.j        , # may vary
+              0.  +0.j        ,   0.  +0.j        ],
+           [-12.5+17.20477401j,   0.  +0.j        ,   0.  +0.j        ,
+              0.  +0.j        ,   0.  +0.j        ],
+           [-12.5 +4.0614962j ,   0.  +0.j        ,   0.  +0.j        ,
+              0.  +0.j        ,   0.  +0.j        ],
+           [-12.5 -4.0614962j ,   0.  +0.j        ,   0.  +0.j        ,
+              0.  +0.j        ,   0.  +0.j        ],
+           [-12.5-17.20477401j,   0.  +0.j        ,   0.  +0.j        ,
+              0.  +0.j        ,   0.  +0.j        ]])
+
+    """
+    return _raw_fftnd(a, s, axes, fft, norm, out=out)
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def ifft2(a, s=None, axes=(-2, -1), norm=None, out=None):
+    """
+    Compute the 2-dimensional inverse discrete Fourier Transform.
+
+    This function computes the inverse of the 2-dimensional discrete Fourier
+    Transform over any number of axes in an M-dimensional array by means of
+    the Fast Fourier Transform (FFT).  In other words, ``ifft2(fft2(a)) == a``
+    to within numerical accuracy.  By default, the inverse transform is
+    computed over the last two axes of the input array.
+
+    The input, analogously to `ifft`, should be ordered in the same way as is
+    returned by `fft2`, i.e. it should have the term for zero frequency
+    in the low-order corner of the two axes, the positive frequency terms in
+    the first half of these axes, the term for the Nyquist frequency in the
+    middle of the axes and the negative frequency terms in the second half of
+    both axes, in order of decreasingly negative frequency.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, can be complex.
+    s : sequence of ints, optional
+        Shape (length of each axis) of the output (``s[0]`` refers to axis 0,
+        ``s[1]`` to axis 1, etc.).  This corresponds to `n` for ``ifft(x, n)``.
+        Along each axis, if the given shape is smaller than that of the input,
+        the input is cropped. If it is larger, the input is padded with zeros.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        If `s` is not given, the shape of the input along the axes specified
+        by `axes` is used.  See notes for issue on `ifft` zero padding.
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        Axes over which to compute the FFT.  If not given, the last two
+        axes are used.  A repeated index in `axes` means the transform over
+        that axis is performed multiple times.  A one-element sequence means
+        that a one-dimensional FFT is performed. Default: ``(-2, -1)``.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must not be ``None``.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for all axes (and hence is
+        incompatible with passing in all but the trivial ``s``).
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axes
+        indicated by `axes`, or the last two axes if `axes` is not given.
+
+    Raises
+    ------
+    ValueError
+        If `s` and `axes` have different length, or `axes` not given and
+        ``len(s) != 2``.
+    IndexError
+        If an element of `axes` is larger than than the number of axes of `a`.
+
+    See Also
+    --------
+    numpy.fft : Overall view of discrete Fourier transforms, with definitions
+         and conventions used.
+    fft2 : The forward 2-dimensional FFT, of which `ifft2` is the inverse.
+    ifftn : The inverse of the *n*-dimensional FFT.
+    fft : The one-dimensional FFT.
+    ifft : The one-dimensional inverse FFT.
+
+    Notes
+    -----
+    `ifft2` is just `ifftn` with a different default for `axes`.
+
+    See `ifftn` for details and a plotting example, and `numpy.fft` for
+    definition and conventions used.
+
+    Zero-padding, analogously with `ifft`, is performed by appending zeros to
+    the input along the specified dimension.  Although this is the common
+    approach, it might lead to surprising results.  If another form of zero
+    padding is desired, it must be performed before `ifft2` is called.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = 4 * np.eye(4)
+    >>> np.fft.ifft2(a)
+    array([[1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j], # may vary
+           [0.+0.j,  0.+0.j,  0.+0.j,  1.+0.j],
+           [0.+0.j,  0.+0.j,  1.+0.j,  0.+0.j],
+           [0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j]])
+
+    """
+    return _raw_fftnd(a, s, axes, ifft, norm, out=None)
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def rfftn(a, s=None, axes=None, norm=None, out=None):
+    """
+    Compute the N-dimensional discrete Fourier Transform for real input.
+
+    This function computes the N-dimensional discrete Fourier Transform over
+    any number of axes in an M-dimensional real array by means of the Fast
+    Fourier Transform (FFT).  By default, all axes are transformed, with the
+    real transform performed over the last axis, while the remaining
+    transforms are complex.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, taken to be real.
+    s : sequence of ints, optional
+        Shape (length along each transformed axis) to use from the input.
+        (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.).
+        The final element of `s` corresponds to `n` for ``rfft(x, n)``, while
+        for the remaining axes, it corresponds to `n` for ``fft(x, n)``.
+        Along any axis, if the given shape is smaller than that of the input,
+        the input is cropped. If it is larger, the input is padded with zeros.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        If `s` is not given, the shape of the input along the axes specified
+        by `axes` is used.
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        Axes over which to compute the FFT.  If not given, the last ``len(s)``
+        axes are used, or all axes if `s` is also not specified.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must be explicitly specified too.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for all axes (and hence is
+        incompatible with passing in all but the trivial ``s``).
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : complex ndarray
+        The truncated or zero-padded input, transformed along the axes
+        indicated by `axes`, or by a combination of `s` and `a`,
+        as explained in the parameters section above.
+        The length of the last axis transformed will be ``s[-1]//2+1``,
+        while the remaining transformed axes will have lengths according to
+        `s`, or unchanged from the input.
+
+    Raises
+    ------
+    ValueError
+        If `s` and `axes` have different length.
+    IndexError
+        If an element of `axes` is larger than than the number of axes of `a`.
+
+    See Also
+    --------
+    irfftn : The inverse of `rfftn`, i.e. the inverse of the n-dimensional FFT
+         of real input.
+    fft : The one-dimensional FFT, with definitions and conventions used.
+    rfft : The one-dimensional FFT of real input.
+    fftn : The n-dimensional FFT.
+    rfft2 : The two-dimensional FFT of real input.
+
+    Notes
+    -----
+    The transform for real input is performed over the last transformation
+    axis, as by `rfft`, then the transform over the remaining axes is
+    performed as by `fftn`.  The order of the output is as for `rfft` for the
+    final transformation axis, and as for `fftn` for the remaining
+    transformation axes.
+
+    See `fft` for details, definitions and conventions used.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ones((2, 2, 2))
+    >>> np.fft.rfftn(a)
+    array([[[8.+0.j,  0.+0.j], # may vary
+            [0.+0.j,  0.+0.j]],
+           [[0.+0.j,  0.+0.j],
+            [0.+0.j,  0.+0.j]]])
+
+    >>> np.fft.rfftn(a, axes=(2, 0))
+    array([[[4.+0.j,  0.+0.j], # may vary
+            [4.+0.j,  0.+0.j]],
+           [[0.+0.j,  0.+0.j],
+            [0.+0.j,  0.+0.j]]])
+
+    """
+    a = asarray(a)
+    s, axes = _cook_nd_args(a, s, axes)
+    a = rfft(a, s[-1], axes[-1], norm, out=out)
+    for ii in range(len(axes)-2, -1, -1):
+        a = fft(a, s[ii], axes[ii], norm, out=out)
+    return a
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def rfft2(a, s=None, axes=(-2, -1), norm=None, out=None):
+    """
+    Compute the 2-dimensional FFT of a real array.
+
+    Parameters
+    ----------
+    a : array
+        Input array, taken to be real.
+    s : sequence of ints, optional
+        Shape of the FFT.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        Axes over which to compute the FFT. Default: ``(-2, -1)``.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must not be ``None``.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : complex ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for the last inverse transform.
+        incompatible with passing in all but the trivial ``s``).
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : ndarray
+        The result of the real 2-D FFT.
+
+    See Also
+    --------
+    rfftn : Compute the N-dimensional discrete Fourier Transform for real
+            input.
+
+    Notes
+    -----
+    This is really just `rfftn` with different default behavior.
+    For more details see `rfftn`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.mgrid[:5, :5][0]
+    >>> np.fft.rfft2(a)
+    array([[ 50.  +0.j        ,   0.  +0.j        ,   0.  +0.j        ],
+           [-12.5+17.20477401j,   0.  +0.j        ,   0.  +0.j        ],
+           [-12.5 +4.0614962j ,   0.  +0.j        ,   0.  +0.j        ],
+           [-12.5 -4.0614962j ,   0.  +0.j        ,   0.  +0.j        ],
+           [-12.5-17.20477401j,   0.  +0.j        ,   0.  +0.j        ]])
+    """
+    return rfftn(a, s, axes, norm, out=out)
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def irfftn(a, s=None, axes=None, norm=None, out=None):
+    """
+    Computes the inverse of `rfftn`.
+
+    This function computes the inverse of the N-dimensional discrete
+    Fourier Transform for real input over any number of axes in an
+    M-dimensional array by means of the Fast Fourier Transform (FFT).  In
+    other words, ``irfftn(rfftn(a), a.shape) == a`` to within numerical
+    accuracy. (The ``a.shape`` is necessary like ``len(a)`` is for `irfft`,
+    and for the same reason.)
+
+    The input should be ordered in the same way as is returned by `rfftn`,
+    i.e. as for `irfft` for the final transformation axis, and as for `ifftn`
+    along all the other axes.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array.
+    s : sequence of ints, optional
+        Shape (length of each transformed axis) of the output
+        (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.). `s` is also the
+        number of input points used along this axis, except for the last axis,
+        where ``s[-1]//2+1`` points of the input are used.
+        Along any axis, if the shape indicated by `s` is smaller than that of
+        the input, the input is cropped.  If it is larger, the input is padded
+        with zeros.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        If `s` is not given, the shape of the input along the axes
+        specified by axes is used. Except for the last axis which is taken to
+        be ``2*(m-1)`` where ``m`` is the length of the input along that axis.
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        Axes over which to compute the inverse FFT. If not given, the last
+        `len(s)` axes are used, or all axes if `s` is also not specified.
+        Repeated indices in `axes` means that the inverse transform over that
+        axis is performed multiple times.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must be explicitly specified too.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for the last transformation.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : ndarray
+        The truncated or zero-padded input, transformed along the axes
+        indicated by `axes`, or by a combination of `s` or `a`,
+        as explained in the parameters section above.
+        The length of each transformed axis is as given by the corresponding
+        element of `s`, or the length of the input in every axis except for the
+        last one if `s` is not given.  In the final transformed axis the length
+        of the output when `s` is not given is ``2*(m-1)`` where ``m`` is the
+        length of the final transformed axis of the input.  To get an odd
+        number of output points in the final axis, `s` must be specified.
+
+    Raises
+    ------
+    ValueError
+        If `s` and `axes` have different length.
+    IndexError
+        If an element of `axes` is larger than than the number of axes of `a`.
+
+    See Also
+    --------
+    rfftn : The forward n-dimensional FFT of real input,
+            of which `ifftn` is the inverse.
+    fft : The one-dimensional FFT, with definitions and conventions used.
+    irfft : The inverse of the one-dimensional FFT of real input.
+    irfft2 : The inverse of the two-dimensional FFT of real input.
+
+    Notes
+    -----
+    See `fft` for definitions and conventions used.
+
+    See `rfft` for definitions and conventions used for real input.
+
+    The correct interpretation of the hermitian input depends on the shape of
+    the original data, as given by `s`. This is because each input shape could
+    correspond to either an odd or even length signal. By default, `irfftn`
+    assumes an even output length which puts the last entry at the Nyquist
+    frequency; aliasing with its symmetric counterpart. When performing the
+    final complex to real transform, the last value is thus treated as purely
+    real. To avoid losing information, the correct shape of the real input
+    **must** be given.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.zeros((3, 2, 2))
+    >>> a[0, 0, 0] = 3 * 2 * 2
+    >>> np.fft.irfftn(a)
+    array([[[1.,  1.],
+            [1.,  1.]],
+           [[1.,  1.],
+            [1.,  1.]],
+           [[1.,  1.],
+            [1.,  1.]]])
+
+    """
+    a = asarray(a)
+    s, axes = _cook_nd_args(a, s, axes, invreal=1)
+    for ii in range(len(axes)-1):
+        a = ifft(a, s[ii], axes[ii], norm)
+    a = irfft(a, s[-1], axes[-1], norm, out=out)
+    return a
+
+
+@array_function_dispatch(_fftn_dispatcher)
+def irfft2(a, s=None, axes=(-2, -1), norm=None, out=None):
+    """
+    Computes the inverse of `rfft2`.
+
+    Parameters
+    ----------
+    a : array_like
+        The input array
+    s : sequence of ints, optional
+        Shape of the real output to the inverse FFT.
+
+        .. versionchanged:: 2.0
+
+            If it is ``-1``, the whole input is used (no padding/trimming).
+
+        .. deprecated:: 2.0
+
+            If `s` is not ``None``, `axes` must not be ``None`` either.
+
+        .. deprecated:: 2.0
+
+            `s` must contain only ``int`` s, not ``None`` values. ``None``
+            values currently mean that the default value for ``n`` is used
+            in the corresponding 1-D transform, but this behaviour is
+            deprecated.
+
+    axes : sequence of ints, optional
+        The axes over which to compute the inverse fft.
+        Default: ``(-2, -1)``, the last two axes.
+
+        .. deprecated:: 2.0
+
+            If `s` is specified, the corresponding `axes` to be transformed
+            must not be ``None``.
+
+    norm : {"backward", "ortho", "forward"}, optional
+        Normalization mode (see `numpy.fft`). Default is "backward".
+        Indicates which direction of the forward/backward pair of transforms
+        is scaled and with what normalization factor.
+
+        .. versionadded:: 1.20.0
+
+            The "backward", "forward" values were added.
+
+    out : ndarray, optional
+        If provided, the result will be placed in this array. It should be
+        of the appropriate shape and dtype for the last transformation.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    out : ndarray
+        The result of the inverse real 2-D FFT.
+
+    See Also
+    --------
+    rfft2 : The forward two-dimensional FFT of real input,
+            of which `irfft2` is the inverse.
+    rfft : The one-dimensional FFT for real input.
+    irfft : The inverse of the one-dimensional FFT of real input.
+    irfftn : Compute the inverse of the N-dimensional FFT of real input.
+
+    Notes
+    -----
+    This is really `irfftn` with different defaults.
+    For more details see `irfftn`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.mgrid[:5, :5][0]
+    >>> A = np.fft.rfft2(a)
+    >>> np.fft.irfft2(A, s=a.shape)
+    array([[0., 0., 0., 0., 0.],
+           [1., 1., 1., 1., 1.],
+           [2., 2., 2., 2., 2.],
+           [3., 3., 3., 3., 3.],
+           [4., 4., 4., 4., 4.]])
+    """
+    return irfftn(a, s, axes, norm, out=None)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..78f1ff692df0dcb47ac812a5bc4aa5f5afd8bc19
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft.pyi
@@ -0,0 +1,137 @@
+from collections.abc import Sequence
+from typing import Literal as L, TypeAlias
+
+from numpy import complex128, float64
+from numpy._typing import ArrayLike, NDArray, _ArrayLikeNumber_co
+
+__all__ = [
+    "fft",
+    "ifft",
+    "rfft",
+    "irfft",
+    "hfft",
+    "ihfft",
+    "rfftn",
+    "irfftn",
+    "rfft2",
+    "irfft2",
+    "fft2",
+    "ifft2",
+    "fftn",
+    "ifftn",
+]
+
+_NormKind: TypeAlias = L[None, "backward", "ortho", "forward"]
+
+def fft(
+    a: ArrayLike,
+    n: None | int = ...,
+    axis: int = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def ifft(
+    a: ArrayLike,
+    n: None | int = ...,
+    axis: int = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def rfft(
+    a: ArrayLike,
+    n: None | int = ...,
+    axis: int = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def irfft(
+    a: ArrayLike,
+    n: None | int = ...,
+    axis: int = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[float64] = ...,
+) -> NDArray[float64]: ...
+
+# Input array must be compatible with `np.conjugate`
+def hfft(
+    a: _ArrayLikeNumber_co,
+    n: None | int = ...,
+    axis: int = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[float64] = ...,
+) -> NDArray[float64]: ...
+
+def ihfft(
+    a: ArrayLike,
+    n: None | int = ...,
+    axis: int = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def fftn(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def ifftn(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def rfftn(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def irfftn(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[float64] = ...,
+) -> NDArray[float64]: ...
+
+def fft2(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def ifft2(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def rfft2(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[complex128] = ...,
+) -> NDArray[complex128]: ...
+
+def irfft2(
+    a: ArrayLike,
+    s: None | Sequence[int] = ...,
+    axes: None | Sequence[int] = ...,
+    norm: _NormKind = ...,
+    out: None | NDArray[float64] = ...,
+) -> NDArray[float64]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft_umath.cpython-310-x86_64-linux-gnu.so b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft_umath.cpython-310-x86_64-linux-gnu.so
new file mode 100644
index 0000000000000000000000000000000000000000..59fa799790586e48ce688edbc38a71ecb32959b8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/_pocketfft_umath.cpython-310-x86_64-linux-gnu.so
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdf266bd798225e5a1fedc24f792b4b45d52bd960adc94fd3cb76108b253d42b
+size 649272
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/helper.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/helper.py
new file mode 100644
index 0000000000000000000000000000000000000000..4375cedf7fcfd43794b205b24f413281f6fa7197
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/helper.py
@@ -0,0 +1,16 @@
+def __getattr__(attr_name):
+    import warnings
+    from numpy.fft import _helper
+    ret = getattr(_helper, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.fft.helper' has no attribute {attr_name}")
+    warnings.warn(
+        "The numpy.fft.helper has been made private and renamed to "
+        "numpy.fft._helper. All four functions exported by it (i.e. fftshift, "
+        "ifftshift, fftfreq, rfftfreq) are available from numpy.fft. "
+        f"Please use numpy.fft.{attr_name} instead.",
+        DeprecationWarning,
+        stacklevel=3
+    )
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/helper.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/helper.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..887cbe7e27c996a1b68624048705c046cd16cc89
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/helper.pyi
@@ -0,0 +1,22 @@
+from typing import Any
+from typing import Literal as L
+
+from typing_extensions import deprecated
+
+import numpy as np
+from numpy._typing import ArrayLike, NDArray, _ShapeLike
+
+from ._helper import integer_types as integer_types
+
+__all__ = ["fftfreq", "fftshift", "ifftshift", "rfftfreq"]
+
+###
+
+@deprecated("Please use `numpy.fft.fftshift` instead.")
+def fftshift(x: ArrayLike, axes: _ShapeLike | None = None) -> NDArray[Any]: ...
+@deprecated("Please use `numpy.fft.ifftshift` instead.")
+def ifftshift(x: ArrayLike, axes: _ShapeLike | None = None) -> NDArray[Any]: ...
+@deprecated("Please use `numpy.fft.fftfreq` instead.")
+def fftfreq(n: int | np.integer, d: ArrayLike = 1.0, device: L["cpu"] | None = None) -> NDArray[Any]: ...
+@deprecated("Please use `numpy.fft.rfftfreq` instead.")
+def rfftfreq(n: int | np.integer, d: ArrayLike = 1.0, device: L["cpu"] | None = None) -> NDArray[Any]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/test_helper.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/test_helper.py
new file mode 100644
index 0000000000000000000000000000000000000000..852e6625fff2370380979fd22a8575f692c206aa
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/test_helper.py
@@ -0,0 +1,167 @@
+"""Test functions for fftpack.helper module
+
+Copied from fftpack.helper by Pearu Peterson, October 2005
+
+"""
+import numpy as np
+from numpy.testing import assert_array_almost_equal
+from numpy import fft, pi
+
+
+class TestFFTShift:
+
+    def test_definition(self):
+        x = [0, 1, 2, 3, 4, -4, -3, -2, -1]
+        y = [-4, -3, -2, -1, 0, 1, 2, 3, 4]
+        assert_array_almost_equal(fft.fftshift(x), y)
+        assert_array_almost_equal(fft.ifftshift(y), x)
+        x = [0, 1, 2, 3, 4, -5, -4, -3, -2, -1]
+        y = [-5, -4, -3, -2, -1, 0, 1, 2, 3, 4]
+        assert_array_almost_equal(fft.fftshift(x), y)
+        assert_array_almost_equal(fft.ifftshift(y), x)
+
+    def test_inverse(self):
+        for n in [1, 4, 9, 100, 211]:
+            x = np.random.random((n,))
+            assert_array_almost_equal(fft.ifftshift(fft.fftshift(x)), x)
+
+    def test_axes_keyword(self):
+        freqs = [[0, 1, 2], [3, 4, -4], [-3, -2, -1]]
+        shifted = [[-1, -3, -2], [2, 0, 1], [-4, 3, 4]]
+        assert_array_almost_equal(fft.fftshift(freqs, axes=(0, 1)), shifted)
+        assert_array_almost_equal(fft.fftshift(freqs, axes=0),
+                                  fft.fftshift(freqs, axes=(0,)))
+        assert_array_almost_equal(fft.ifftshift(shifted, axes=(0, 1)), freqs)
+        assert_array_almost_equal(fft.ifftshift(shifted, axes=0),
+                                  fft.ifftshift(shifted, axes=(0,)))
+
+        assert_array_almost_equal(fft.fftshift(freqs), shifted)
+        assert_array_almost_equal(fft.ifftshift(shifted), freqs)
+
+    def test_uneven_dims(self):
+        """ Test 2D input, which has uneven dimension sizes """
+        freqs = [
+            [0, 1],
+            [2, 3],
+            [4, 5]
+        ]
+
+        # shift in dimension 0
+        shift_dim0 = [
+            [4, 5],
+            [0, 1],
+            [2, 3]
+        ]
+        assert_array_almost_equal(fft.fftshift(freqs, axes=0), shift_dim0)
+        assert_array_almost_equal(fft.ifftshift(shift_dim0, axes=0), freqs)
+        assert_array_almost_equal(fft.fftshift(freqs, axes=(0,)), shift_dim0)
+        assert_array_almost_equal(fft.ifftshift(shift_dim0, axes=[0]), freqs)
+
+        # shift in dimension 1
+        shift_dim1 = [
+            [1, 0],
+            [3, 2],
+            [5, 4]
+        ]
+        assert_array_almost_equal(fft.fftshift(freqs, axes=1), shift_dim1)
+        assert_array_almost_equal(fft.ifftshift(shift_dim1, axes=1), freqs)
+
+        # shift in both dimensions
+        shift_dim_both = [
+            [5, 4],
+            [1, 0],
+            [3, 2]
+        ]
+        assert_array_almost_equal(fft.fftshift(freqs, axes=(0, 1)), shift_dim_both)
+        assert_array_almost_equal(fft.ifftshift(shift_dim_both, axes=(0, 1)), freqs)
+        assert_array_almost_equal(fft.fftshift(freqs, axes=[0, 1]), shift_dim_both)
+        assert_array_almost_equal(fft.ifftshift(shift_dim_both, axes=[0, 1]), freqs)
+
+        # axes=None (default) shift in all dimensions
+        assert_array_almost_equal(fft.fftshift(freqs, axes=None), shift_dim_both)
+        assert_array_almost_equal(fft.ifftshift(shift_dim_both, axes=None), freqs)
+        assert_array_almost_equal(fft.fftshift(freqs), shift_dim_both)
+        assert_array_almost_equal(fft.ifftshift(shift_dim_both), freqs)
+
+    def test_equal_to_original(self):
+        """ Test that the new (>=v1.15) implementation (see #10073) is equal to the original (<=v1.14) """
+        from numpy._core import asarray, concatenate, arange, take
+
+        def original_fftshift(x, axes=None):
+            """ How fftshift was implemented in v1.14"""
+            tmp = asarray(x)
+            ndim = tmp.ndim
+            if axes is None:
+                axes = list(range(ndim))
+            elif isinstance(axes, int):
+                axes = (axes,)
+            y = tmp
+            for k in axes:
+                n = tmp.shape[k]
+                p2 = (n + 1) // 2
+                mylist = concatenate((arange(p2, n), arange(p2)))
+                y = take(y, mylist, k)
+            return y
+
+        def original_ifftshift(x, axes=None):
+            """ How ifftshift was implemented in v1.14 """
+            tmp = asarray(x)
+            ndim = tmp.ndim
+            if axes is None:
+                axes = list(range(ndim))
+            elif isinstance(axes, int):
+                axes = (axes,)
+            y = tmp
+            for k in axes:
+                n = tmp.shape[k]
+                p2 = n - (n + 1) // 2
+                mylist = concatenate((arange(p2, n), arange(p2)))
+                y = take(y, mylist, k)
+            return y
+
+        # create possible 2d array combinations and try all possible keywords
+        # compare output to original functions
+        for i in range(16):
+            for j in range(16):
+                for axes_keyword in [0, 1, None, (0,), (0, 1)]:
+                    inp = np.random.rand(i, j)
+
+                    assert_array_almost_equal(fft.fftshift(inp, axes_keyword),
+                                              original_fftshift(inp, axes_keyword))
+
+                    assert_array_almost_equal(fft.ifftshift(inp, axes_keyword),
+                                              original_ifftshift(inp, axes_keyword))
+
+
+class TestFFTFreq:
+
+    def test_definition(self):
+        x = [0, 1, 2, 3, 4, -4, -3, -2, -1]
+        assert_array_almost_equal(9*fft.fftfreq(9), x)
+        assert_array_almost_equal(9*pi*fft.fftfreq(9, pi), x)
+        x = [0, 1, 2, 3, 4, -5, -4, -3, -2, -1]
+        assert_array_almost_equal(10*fft.fftfreq(10), x)
+        assert_array_almost_equal(10*pi*fft.fftfreq(10, pi), x)
+
+
+class TestRFFTFreq:
+
+    def test_definition(self):
+        x = [0, 1, 2, 3, 4]
+        assert_array_almost_equal(9*fft.rfftfreq(9), x)
+        assert_array_almost_equal(9*pi*fft.rfftfreq(9, pi), x)
+        x = [0, 1, 2, 3, 4, 5]
+        assert_array_almost_equal(10*fft.rfftfreq(10), x)
+        assert_array_almost_equal(10*pi*fft.rfftfreq(10, pi), x)
+
+
+class TestIRFFTN:
+
+    def test_not_last_axis_success(self):
+        ar, ai = np.random.random((2, 16, 8, 32))
+        a = ar + 1j*ai
+
+        axes = (-2,)
+
+        # Should not raise error
+        fft.irfftn(a, axes=axes)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/test_pocketfft.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/test_pocketfft.py
new file mode 100644
index 0000000000000000000000000000000000000000..dff2c86742d5700468671cde3cd357775418d875
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/fft/tests/test_pocketfft.py
@@ -0,0 +1,589 @@
+import numpy as np
+import pytest
+from numpy.random import random
+from numpy.testing import (
+        assert_array_equal, assert_raises, assert_allclose, IS_WASM
+        )
+import threading
+import queue
+
+
+def fft1(x):
+    L = len(x)
+    phase = -2j * np.pi * (np.arange(L) / L)
+    phase = np.arange(L).reshape(-1, 1) * phase
+    return np.sum(x*np.exp(phase), axis=1)
+
+
+class TestFFTShift:
+
+    def test_fft_n(self):
+        assert_raises(ValueError, np.fft.fft, [1, 2, 3], 0)
+
+
+class TestFFT1D:
+
+    def test_identity(self):
+        maxlen = 512
+        x = random(maxlen) + 1j*random(maxlen)
+        xr = random(maxlen)
+        for i in range(1, maxlen):
+            assert_allclose(np.fft.ifft(np.fft.fft(x[0:i])), x[0:i],
+                            atol=1e-12)
+            assert_allclose(np.fft.irfft(np.fft.rfft(xr[0:i]), i),
+                            xr[0:i], atol=1e-12)
+
+    @pytest.mark.parametrize("dtype", [np.single, np.double, np.longdouble])
+    def test_identity_long_short(self, dtype):
+        # Test with explicitly given number of points, both for n
+        # smaller and for n larger than the input size.
+        maxlen = 16
+        atol = 5 * np.spacing(np.array(1., dtype=dtype))
+        x = random(maxlen).astype(dtype) + 1j*random(maxlen).astype(dtype)
+        xx = np.concatenate([x, np.zeros_like(x)])
+        xr = random(maxlen).astype(dtype)
+        xxr = np.concatenate([xr, np.zeros_like(xr)])
+        for i in range(1, maxlen*2):
+            check_c = np.fft.ifft(np.fft.fft(x, n=i), n=i)
+            assert check_c.real.dtype == dtype
+            assert_allclose(check_c, xx[0:i], atol=atol, rtol=0)
+            check_r = np.fft.irfft(np.fft.rfft(xr, n=i), n=i)
+            assert check_r.dtype == dtype
+            assert_allclose(check_r, xxr[0:i], atol=atol, rtol=0)
+
+    @pytest.mark.parametrize("dtype", [np.single, np.double, np.longdouble])
+    def test_identity_long_short_reversed(self, dtype):
+        # Also test explicitly given number of points in reversed order.
+        maxlen = 16
+        atol = 5 * np.spacing(np.array(1., dtype=dtype))
+        x = random(maxlen).astype(dtype) + 1j*random(maxlen).astype(dtype)
+        xx = np.concatenate([x, np.zeros_like(x)])
+        for i in range(1, maxlen*2):
+            check_via_c = np.fft.fft(np.fft.ifft(x, n=i), n=i)
+            assert check_via_c.dtype == x.dtype
+            assert_allclose(check_via_c, xx[0:i], atol=atol, rtol=0)
+            # For irfft, we can neither recover the imaginary part of
+            # the first element, nor the imaginary part of the last
+            # element if npts is even.  So, set to 0 for the comparison.
+            y = x.copy()
+            n = i // 2 + 1
+            y.imag[0] = 0
+            if i % 2 == 0:
+                y.imag[n-1:] = 0
+            yy = np.concatenate([y, np.zeros_like(y)])
+            check_via_r = np.fft.rfft(np.fft.irfft(x, n=i), n=i)
+            assert check_via_r.dtype == x.dtype
+            assert_allclose(check_via_r, yy[0:n], atol=atol, rtol=0)
+
+    def test_fft(self):
+        x = random(30) + 1j*random(30)
+        assert_allclose(fft1(x), np.fft.fft(x), atol=1e-6)
+        assert_allclose(fft1(x), np.fft.fft(x, norm="backward"), atol=1e-6)
+        assert_allclose(fft1(x) / np.sqrt(30),
+                        np.fft.fft(x, norm="ortho"), atol=1e-6)
+        assert_allclose(fft1(x) / 30.,
+                        np.fft.fft(x, norm="forward"), atol=1e-6)
+
+    @pytest.mark.parametrize("axis", (0, 1))
+    @pytest.mark.parametrize("dtype", (complex, float))
+    @pytest.mark.parametrize("transpose", (True, False))
+    def test_fft_out_argument(self, dtype, transpose, axis):
+        def zeros_like(x):
+            if transpose:
+                return np.zeros_like(x.T).T
+            else:
+                return np.zeros_like(x)
+
+        # tests below only test the out parameter
+        if dtype is complex:
+            y = random((10, 20)) + 1j*random((10, 20))
+            fft, ifft = np.fft.fft, np.fft.ifft
+        else:
+            y = random((10, 20))
+            fft, ifft = np.fft.rfft, np.fft.irfft
+
+        expected = fft(y, axis=axis)
+        out = zeros_like(expected)
+        result = fft(y, out=out, axis=axis)
+        assert result is out
+        assert_array_equal(result, expected)
+
+        expected2 = ifft(expected, axis=axis)
+        out2 = out if dtype is complex else zeros_like(expected2)
+        result2 = ifft(out, out=out2, axis=axis)
+        assert result2 is out2
+        assert_array_equal(result2, expected2)
+
+    @pytest.mark.parametrize("axis", [0, 1])
+    def test_fft_inplace_out(self, axis):
+        # Test some weirder in-place combinations
+        y = random((20, 20)) + 1j*random((20, 20))
+        # Fully in-place.
+        y1 = y.copy()
+        expected1 = np.fft.fft(y1, axis=axis)
+        result1 = np.fft.fft(y1, axis=axis, out=y1)
+        assert result1 is y1
+        assert_array_equal(result1, expected1)
+        # In-place of part of the array; rest should be unchanged.
+        y2 = y.copy()
+        out2 = y2[:10] if axis == 0 else y2[:, :10]
+        expected2 = np.fft.fft(y2, n=10, axis=axis)
+        result2 = np.fft.fft(y2, n=10, axis=axis, out=out2)
+        assert result2 is out2
+        assert_array_equal(result2, expected2)
+        if axis == 0:
+            assert_array_equal(y2[10:], y[10:])
+        else:
+            assert_array_equal(y2[:, 10:], y[:, 10:])
+        # In-place of another part of the array.
+        y3 = y.copy()
+        y3_sel = y3[5:] if axis == 0 else y3[:, 5:]
+        out3 = y3[5:15] if axis == 0 else y3[:, 5:15]
+        expected3 = np.fft.fft(y3_sel, n=10, axis=axis)
+        result3 = np.fft.fft(y3_sel, n=10, axis=axis, out=out3)
+        assert result3 is out3
+        assert_array_equal(result3, expected3)
+        if axis == 0:
+            assert_array_equal(y3[:5], y[:5])
+            assert_array_equal(y3[15:], y[15:])
+        else:
+            assert_array_equal(y3[:, :5], y[:, :5])
+            assert_array_equal(y3[:, 15:], y[:, 15:])
+        # In-place with n > nin; rest should be unchanged.
+        y4 = y.copy()
+        y4_sel = y4[:10] if axis == 0 else y4[:, :10]
+        out4 = y4[:15] if axis == 0 else y4[:, :15]
+        expected4 = np.fft.fft(y4_sel, n=15, axis=axis)
+        result4 = np.fft.fft(y4_sel, n=15, axis=axis, out=out4)
+        assert result4 is out4
+        assert_array_equal(result4, expected4)
+        if axis == 0:
+            assert_array_equal(y4[15:], y[15:])
+        else:
+            assert_array_equal(y4[:, 15:], y[:, 15:])
+        # Overwrite in a transpose.
+        y5 = y.copy()
+        out5 = y5.T
+        result5 = np.fft.fft(y5, axis=axis, out=out5)
+        assert result5 is out5
+        assert_array_equal(result5, expected1)
+        # Reverse strides.
+        y6 = y.copy()
+        out6 = y6[::-1] if axis == 0 else y6[:, ::-1]
+        result6 = np.fft.fft(y6, axis=axis, out=out6)
+        assert result6 is out6
+        assert_array_equal(result6, expected1)
+
+    def test_fft_bad_out(self):
+        x = np.arange(30.)
+        with pytest.raises(TypeError, match="must be of ArrayType"):
+            np.fft.fft(x, out="")
+        with pytest.raises(ValueError, match="has wrong shape"):
+            np.fft.fft(x, out=np.zeros_like(x).reshape(5, -1))
+        with pytest.raises(TypeError, match="Cannot cast"):
+            np.fft.fft(x, out=np.zeros_like(x, dtype=float))
+
+    @pytest.mark.parametrize('norm', (None, 'backward', 'ortho', 'forward'))
+    def test_ifft(self, norm):
+        x = random(30) + 1j*random(30)
+        assert_allclose(
+            x, np.fft.ifft(np.fft.fft(x, norm=norm), norm=norm),
+            atol=1e-6)
+        # Ensure we get the correct error message
+        with pytest.raises(ValueError,
+                           match='Invalid number of FFT data points'):
+            np.fft.ifft([], norm=norm)
+
+    def test_fft2(self):
+        x = random((30, 20)) + 1j*random((30, 20))
+        assert_allclose(np.fft.fft(np.fft.fft(x, axis=1), axis=0),
+                        np.fft.fft2(x), atol=1e-6)
+        assert_allclose(np.fft.fft2(x),
+                        np.fft.fft2(x, norm="backward"), atol=1e-6)
+        assert_allclose(np.fft.fft2(x) / np.sqrt(30 * 20),
+                        np.fft.fft2(x, norm="ortho"), atol=1e-6)
+        assert_allclose(np.fft.fft2(x) / (30. * 20.),
+                        np.fft.fft2(x, norm="forward"), atol=1e-6)
+
+    def test_ifft2(self):
+        x = random((30, 20)) + 1j*random((30, 20))
+        assert_allclose(np.fft.ifft(np.fft.ifft(x, axis=1), axis=0),
+                        np.fft.ifft2(x), atol=1e-6)
+        assert_allclose(np.fft.ifft2(x),
+                        np.fft.ifft2(x, norm="backward"), atol=1e-6)
+        assert_allclose(np.fft.ifft2(x) * np.sqrt(30 * 20),
+                        np.fft.ifft2(x, norm="ortho"), atol=1e-6)
+        assert_allclose(np.fft.ifft2(x) * (30. * 20.),
+                        np.fft.ifft2(x, norm="forward"), atol=1e-6)
+
+    def test_fftn(self):
+        x = random((30, 20, 10)) + 1j*random((30, 20, 10))
+        assert_allclose(
+            np.fft.fft(np.fft.fft(np.fft.fft(x, axis=2), axis=1), axis=0),
+            np.fft.fftn(x), atol=1e-6)
+        assert_allclose(np.fft.fftn(x),
+                        np.fft.fftn(x, norm="backward"), atol=1e-6)
+        assert_allclose(np.fft.fftn(x) / np.sqrt(30 * 20 * 10),
+                        np.fft.fftn(x, norm="ortho"), atol=1e-6)
+        assert_allclose(np.fft.fftn(x) / (30. * 20. * 10.),
+                        np.fft.fftn(x, norm="forward"), atol=1e-6)
+
+    def test_ifftn(self):
+        x = random((30, 20, 10)) + 1j*random((30, 20, 10))
+        assert_allclose(
+            np.fft.ifft(np.fft.ifft(np.fft.ifft(x, axis=2), axis=1), axis=0),
+            np.fft.ifftn(x), atol=1e-6)
+        assert_allclose(np.fft.ifftn(x),
+                        np.fft.ifftn(x, norm="backward"), atol=1e-6)
+        assert_allclose(np.fft.ifftn(x) * np.sqrt(30 * 20 * 10),
+                        np.fft.ifftn(x, norm="ortho"), atol=1e-6)
+        assert_allclose(np.fft.ifftn(x) * (30. * 20. * 10.),
+                        np.fft.ifftn(x, norm="forward"), atol=1e-6)
+
+    def test_rfft(self):
+        x = random(30)
+        for n in [x.size, 2*x.size]:
+            for norm in [None, 'backward', 'ortho', 'forward']:
+                assert_allclose(
+                    np.fft.fft(x, n=n, norm=norm)[:(n//2 + 1)],
+                    np.fft.rfft(x, n=n, norm=norm), atol=1e-6)
+            assert_allclose(
+                np.fft.rfft(x, n=n),
+                np.fft.rfft(x, n=n, norm="backward"), atol=1e-6)
+            assert_allclose(
+                np.fft.rfft(x, n=n) / np.sqrt(n),
+                np.fft.rfft(x, n=n, norm="ortho"), atol=1e-6)
+            assert_allclose(
+                np.fft.rfft(x, n=n) / n,
+                np.fft.rfft(x, n=n, norm="forward"), atol=1e-6)
+
+    def test_rfft_even(self):
+        x = np.arange(8)
+        n = 4
+        y = np.fft.rfft(x, n)
+        assert_allclose(y, np.fft.fft(x[:n])[:n//2 + 1], rtol=1e-14)
+
+    def test_rfft_odd(self):
+        x = np.array([1, 0, 2, 3, -3])
+        y = np.fft.rfft(x)
+        assert_allclose(y, np.fft.fft(x)[:3], rtol=1e-14)
+
+    def test_irfft(self):
+        x = random(30)
+        assert_allclose(x, np.fft.irfft(np.fft.rfft(x)), atol=1e-6)
+        assert_allclose(x, np.fft.irfft(np.fft.rfft(x, norm="backward"),
+                        norm="backward"), atol=1e-6)
+        assert_allclose(x, np.fft.irfft(np.fft.rfft(x, norm="ortho"),
+                        norm="ortho"), atol=1e-6)
+        assert_allclose(x, np.fft.irfft(np.fft.rfft(x, norm="forward"),
+                        norm="forward"), atol=1e-6)
+
+    def test_rfft2(self):
+        x = random((30, 20))
+        assert_allclose(np.fft.fft2(x)[:, :11], np.fft.rfft2(x), atol=1e-6)
+        assert_allclose(np.fft.rfft2(x),
+                        np.fft.rfft2(x, norm="backward"), atol=1e-6)
+        assert_allclose(np.fft.rfft2(x) / np.sqrt(30 * 20),
+                        np.fft.rfft2(x, norm="ortho"), atol=1e-6)
+        assert_allclose(np.fft.rfft2(x) / (30. * 20.),
+                        np.fft.rfft2(x, norm="forward"), atol=1e-6)
+
+    def test_irfft2(self):
+        x = random((30, 20))
+        assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x)), atol=1e-6)
+        assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x, norm="backward"),
+                        norm="backward"), atol=1e-6)
+        assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x, norm="ortho"),
+                        norm="ortho"), atol=1e-6)
+        assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x, norm="forward"),
+                        norm="forward"), atol=1e-6)
+
+    def test_rfftn(self):
+        x = random((30, 20, 10))
+        assert_allclose(np.fft.fftn(x)[:, :, :6], np.fft.rfftn(x), atol=1e-6)
+        assert_allclose(np.fft.rfftn(x),
+                        np.fft.rfftn(x, norm="backward"), atol=1e-6)
+        assert_allclose(np.fft.rfftn(x) / np.sqrt(30 * 20 * 10),
+                        np.fft.rfftn(x, norm="ortho"), atol=1e-6)
+        assert_allclose(np.fft.rfftn(x) / (30. * 20. * 10.),
+                        np.fft.rfftn(x, norm="forward"), atol=1e-6)
+        # Regression test for gh-27159
+        x = np.ones((2, 3))
+        result = np.fft.rfftn(x, axes=(0, 0, 1), s=(10, 20, 40))
+        assert result.shape == (10, 21)
+        expected = np.fft.fft(np.fft.fft(np.fft.rfft(x, axis=1, n=40),
+                            axis=0, n=20), axis=0, n=10)
+        assert expected.shape == (10, 21)
+        assert_allclose(result, expected, atol=1e-6)
+
+    def test_irfftn(self):
+        x = random((30, 20, 10))
+        assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x)), atol=1e-6)
+        assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x, norm="backward"),
+                        norm="backward"), atol=1e-6)
+        assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x, norm="ortho"),
+                        norm="ortho"), atol=1e-6)
+        assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x, norm="forward"),
+                        norm="forward"), atol=1e-6)
+
+    def test_hfft(self):
+        x = random(14) + 1j*random(14)
+        x_herm = np.concatenate((random(1), x, random(1)))
+        x = np.concatenate((x_herm, x[::-1].conj()))
+        assert_allclose(np.fft.fft(x), np.fft.hfft(x_herm), atol=1e-6)
+        assert_allclose(np.fft.hfft(x_herm),
+                        np.fft.hfft(x_herm, norm="backward"), atol=1e-6)
+        assert_allclose(np.fft.hfft(x_herm) / np.sqrt(30),
+                        np.fft.hfft(x_herm, norm="ortho"), atol=1e-6)
+        assert_allclose(np.fft.hfft(x_herm) / 30.,
+                        np.fft.hfft(x_herm, norm="forward"), atol=1e-6)
+
+    def test_ihfft(self):
+        x = random(14) + 1j*random(14)
+        x_herm = np.concatenate((random(1), x, random(1)))
+        x = np.concatenate((x_herm, x[::-1].conj()))
+        assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm)), atol=1e-6)
+        assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm,
+                        norm="backward"), norm="backward"), atol=1e-6)
+        assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm,
+                        norm="ortho"), norm="ortho"), atol=1e-6)
+        assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm,
+                        norm="forward"), norm="forward"), atol=1e-6)
+
+    @pytest.mark.parametrize("op", [np.fft.fftn, np.fft.ifftn,
+                                    np.fft.rfftn, np.fft.irfftn])
+    def test_axes(self, op):
+        x = random((30, 20, 10))
+        axes = [(0, 1, 2), (0, 2, 1), (1, 0, 2), (1, 2, 0), (2, 0, 1), (2, 1, 0)]
+        for a in axes:
+            op_tr = op(np.transpose(x, a))
+            tr_op = np.transpose(op(x, axes=a), a)
+            assert_allclose(op_tr, tr_op, atol=1e-6)
+
+    @pytest.mark.parametrize("op", [np.fft.fftn, np.fft.ifftn,
+                                    np.fft.fft2, np.fft.ifft2])
+    def test_s_negative_1(self, op):
+        x = np.arange(100).reshape(10, 10)
+        # should use the whole input array along the first axis
+        assert op(x, s=(-1, 5), axes=(0, 1)).shape == (10, 5)
+
+    @pytest.mark.parametrize("op", [np.fft.fftn, np.fft.ifftn,
+                                    np.fft.rfftn, np.fft.irfftn])
+    def test_s_axes_none(self, op):
+        x = np.arange(100).reshape(10, 10)
+        with pytest.warns(match='`axes` should not be `None` if `s`'):
+            op(x, s=(-1, 5))
+
+    @pytest.mark.parametrize("op", [np.fft.fft2, np.fft.ifft2])
+    def test_s_axes_none_2D(self, op):
+        x = np.arange(100).reshape(10, 10)
+        with pytest.warns(match='`axes` should not be `None` if `s`'):
+            op(x, s=(-1, 5), axes=None)
+
+    @pytest.mark.parametrize("op", [np.fft.fftn, np.fft.ifftn,
+                                    np.fft.rfftn, np.fft.irfftn,
+                                    np.fft.fft2, np.fft.ifft2])
+    def test_s_contains_none(self, op):
+        x = random((30, 20, 10))
+        with pytest.warns(match='array containing `None` values to `s`'):
+            op(x, s=(10, None, 10), axes=(0, 1, 2))
+
+    def test_all_1d_norm_preserving(self):
+        # verify that round-trip transforms are norm-preserving
+        x = random(30)
+        x_norm = np.linalg.norm(x)
+        n = x.size * 2
+        func_pairs = [(np.fft.fft, np.fft.ifft),
+                      (np.fft.rfft, np.fft.irfft),
+                      # hfft: order so the first function takes x.size samples
+                      #       (necessary for comparison to x_norm above)
+                      (np.fft.ihfft, np.fft.hfft),
+                      ]
+        for forw, back in func_pairs:
+            for n in [x.size, 2*x.size]:
+                for norm in [None, 'backward', 'ortho', 'forward']:
+                    tmp = forw(x, n=n, norm=norm)
+                    tmp = back(tmp, n=n, norm=norm)
+                    assert_allclose(x_norm,
+                                    np.linalg.norm(tmp), atol=1e-6)
+
+    @pytest.mark.parametrize("axes", [(0, 1), (0, 2), None])
+    @pytest.mark.parametrize("dtype", (complex, float))
+    @pytest.mark.parametrize("transpose", (True, False))
+    def test_fftn_out_argument(self, dtype, transpose, axes):
+        def zeros_like(x):
+            if transpose:
+                return np.zeros_like(x.T).T
+            else:
+                return np.zeros_like(x)
+
+        # tests below only test the out parameter
+        if dtype is complex:
+            x = random((10, 5, 6)) + 1j*random((10, 5, 6))
+            fft, ifft = np.fft.fftn, np.fft.ifftn
+        else:
+            x = random((10, 5, 6))
+            fft, ifft = np.fft.rfftn, np.fft.irfftn
+
+        expected = fft(x, axes=axes)
+        out = zeros_like(expected)
+        result = fft(x, out=out, axes=axes)
+        assert result is out
+        assert_array_equal(result, expected)
+
+        expected2 = ifft(expected, axes=axes)
+        out2 = out if dtype is complex else zeros_like(expected2)
+        result2 = ifft(out, out=out2, axes=axes)
+        assert result2 is out2
+        assert_array_equal(result2, expected2)
+
+    @pytest.mark.parametrize("fft", [np.fft.fftn, np.fft.ifftn, np.fft.rfftn])
+    def test_fftn_out_and_s_interaction(self, fft):
+        # With s, shape varies, so generally one cannot pass in out.
+        if fft is np.fft.rfftn:
+            x = random((10, 5, 6))
+        else:
+            x = random((10, 5, 6)) + 1j*random((10, 5, 6))
+        with pytest.raises(ValueError, match="has wrong shape"):
+            fft(x, out=np.zeros_like(x), s=(3, 3, 3), axes=(0, 1, 2))
+        # Except on the first axis done (which is the last of axes).
+        s = (10, 5, 5)
+        expected = fft(x, s=s, axes=(0, 1, 2))
+        out = np.zeros_like(expected)
+        result = fft(x, s=s, axes=(0, 1, 2), out=out)
+        assert result is out
+        assert_array_equal(result, expected)
+
+    @pytest.mark.parametrize("s", [(9, 5, 5), (3, 3, 3)])
+    def test_irfftn_out_and_s_interaction(self, s):
+        # Since for irfftn, the output is real and thus cannot be used for
+        # intermediate steps, it should always work.
+        x = random((9, 5, 6, 2)) + 1j*random((9, 5, 6, 2))
+        expected = np.fft.irfftn(x, s=s, axes=(0, 1, 2))
+        out = np.zeros_like(expected)
+        result = np.fft.irfftn(x, s=s, axes=(0, 1, 2), out=out)
+        assert result is out
+        assert_array_equal(result, expected)
+
+
+@pytest.mark.parametrize(
+        "dtype",
+        [np.float32, np.float64, np.complex64, np.complex128])
+@pytest.mark.parametrize("order", ["F", 'non-contiguous'])
+@pytest.mark.parametrize(
+        "fft",
+        [np.fft.fft, np.fft.fft2, np.fft.fftn,
+         np.fft.ifft, np.fft.ifft2, np.fft.ifftn])
+def test_fft_with_order(dtype, order, fft):
+    # Check that FFT/IFFT produces identical results for C, Fortran and
+    # non contiguous arrays
+    rng = np.random.RandomState(42)
+    X = rng.rand(8, 7, 13).astype(dtype, copy=False)
+    # See discussion in pull/14178
+    _tol = 8.0 * np.sqrt(np.log2(X.size)) * np.finfo(X.dtype).eps
+    if order == 'F':
+        Y = np.asfortranarray(X)
+    else:
+        # Make a non contiguous array
+        Y = X[::-1]
+        X = np.ascontiguousarray(X[::-1])
+
+    if fft.__name__.endswith('fft'):
+        for axis in range(3):
+            X_res = fft(X, axis=axis)
+            Y_res = fft(Y, axis=axis)
+            assert_allclose(X_res, Y_res, atol=_tol, rtol=_tol)
+    elif fft.__name__.endswith(('fft2', 'fftn')):
+        axes = [(0, 1), (1, 2), (0, 2)]
+        if fft.__name__.endswith('fftn'):
+            axes.extend([(0,), (1,), (2,), None])
+        for ax in axes:
+            X_res = fft(X, axes=ax)
+            Y_res = fft(Y, axes=ax)
+            assert_allclose(X_res, Y_res, atol=_tol, rtol=_tol)
+    else:
+        raise ValueError
+
+
+@pytest.mark.parametrize("order", ["F", "C"])
+@pytest.mark.parametrize("n", [None, 7, 12])
+def test_fft_output_order(order, n):
+    rng = np.random.RandomState(42)
+    x = rng.rand(10)
+    x = np.asarray(x, dtype=np.complex64, order=order)
+    res = np.fft.fft(x, n=n)
+    assert res.flags.c_contiguous == x.flags.c_contiguous
+    assert res.flags.f_contiguous == x.flags.f_contiguous
+
+@pytest.mark.skipif(IS_WASM, reason="Cannot start thread")
+class TestFFTThreadSafe:
+    threads = 16
+    input_shape = (800, 200)
+
+    def _test_mtsame(self, func, *args):
+        def worker(args, q):
+            q.put(func(*args))
+
+        q = queue.Queue()
+        expected = func(*args)
+
+        # Spin off a bunch of threads to call the same function simultaneously
+        t = [threading.Thread(target=worker, args=(args, q))
+             for i in range(self.threads)]
+        [x.start() for x in t]
+
+        [x.join() for x in t]
+        # Make sure all threads returned the correct value
+        for i in range(self.threads):
+            assert_array_equal(q.get(timeout=5), expected,
+                'Function returned wrong value in multithreaded context')
+
+    def test_fft(self):
+        a = np.ones(self.input_shape) * 1+0j
+        self._test_mtsame(np.fft.fft, a)
+
+    def test_ifft(self):
+        a = np.ones(self.input_shape) * 1+0j
+        self._test_mtsame(np.fft.ifft, a)
+
+    def test_rfft(self):
+        a = np.ones(self.input_shape)
+        self._test_mtsame(np.fft.rfft, a)
+
+    def test_irfft(self):
+        a = np.ones(self.input_shape) * 1+0j
+        self._test_mtsame(np.fft.irfft, a)
+
+
+def test_irfft_with_n_1_regression():
+    # Regression test for gh-25661
+    x = np.arange(10)
+    np.fft.irfft(x, n=1)
+    np.fft.hfft(x, n=1)
+    np.fft.irfft(np.array([0], complex), n=10)
+
+
+def test_irfft_with_n_large_regression():
+    # Regression test for gh-25679
+    x = np.arange(5) * (1 + 1j)
+    result = np.fft.hfft(x, n=10)
+    expected = np.array([20., 9.91628173, -11.8819096, 7.1048486,
+                         -6.62459848, 4., -3.37540152, -0.16057669,
+                         1.8819096, -20.86055364])
+    assert_allclose(result, expected)
+
+
+@pytest.mark.parametrize("fft", [
+    np.fft.fft, np.fft.ifft, np.fft.rfft, np.fft.irfft
+])
+@pytest.mark.parametrize("data", [
+    np.array([False, True, False]),
+    np.arange(10, dtype=np.uint8),
+    np.arange(5, dtype=np.int16),
+])
+def test_fft_with_integer_or_bool_input(data, fft):
+    # Regression test for gh-25819
+    result = fft(data)
+    float_data = data.astype(np.result_type(data, 1.))
+    expected = fft(float_data)
+    assert_array_equal(result, expected)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..928121ce8f28bf49ab30283d5901aa8bb0414d29
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/__init__.py
@@ -0,0 +1,94 @@
+"""
+``numpy.lib`` is mostly a space for implementing functions that don't
+belong in core or in another NumPy submodule with a clear purpose
+(e.g. ``random``, ``fft``, ``linalg``, ``ma``).
+
+``numpy.lib``'s private submodules contain basic functions that are used by
+other public modules and are useful to have in the main name-space.
+
+"""
+
+# Public submodules
+# Note: recfunctions and (maybe) format are public too, but not imported
+from . import array_utils
+from . import introspect
+from . import mixins
+from . import npyio
+from . import scimath
+from . import stride_tricks
+
+# Private submodules
+# load module names. See https://github.com/networkx/networkx/issues/5838
+from . import _type_check_impl
+from . import _index_tricks_impl
+from . import _nanfunctions_impl
+from . import _function_base_impl
+from . import _stride_tricks_impl
+from . import _shape_base_impl
+from . import _twodim_base_impl
+from . import _ufunclike_impl
+from . import _histograms_impl
+from . import _utils_impl
+from . import _arraysetops_impl
+from . import _polynomial_impl
+from . import _npyio_impl
+from . import _arrayterator_impl
+from . import _arraypad_impl
+from . import _version
+
+# numpy.lib namespace members
+from ._arrayterator_impl import Arrayterator
+from ._version import NumpyVersion
+from numpy._core._multiarray_umath import add_docstring, tracemalloc_domain
+from numpy._core.function_base import add_newdoc
+
+__all__ = [
+    "Arrayterator", "add_docstring", "add_newdoc", "array_utils",
+    "introspect", "mixins", "NumpyVersion", "npyio", "scimath",
+    "stride_tricks", "tracemalloc_domain"
+]
+
+add_newdoc.__module__ = "numpy.lib"
+
+from numpy._pytesttester import PytestTester
+test = PytestTester(__name__)
+del PytestTester
+
+def __getattr__(attr):
+    # Warn for deprecated/removed aliases
+    import math
+    import warnings
+
+    if attr == "math":
+        warnings.warn(
+            "`np.lib.math` is a deprecated alias for the standard library "
+            "`math` module (Deprecated Numpy 1.25). Replace usages of "
+            "`numpy.lib.math` with `math`", DeprecationWarning, stacklevel=2)
+        return math
+    elif attr == "emath":
+        raise AttributeError(
+            "numpy.lib.emath was an alias for emath module that was removed "
+            "in NumPy 2.0. Replace usages of numpy.lib.emath with "
+            "numpy.emath.",
+            name=None
+        )
+    elif attr in (
+        "histograms", "type_check", "nanfunctions", "function_base",
+        "arraypad", "arraysetops", "ufunclike", "utils", "twodim_base",
+        "shape_base", "polynomial", "index_tricks",
+    ):
+        raise AttributeError(
+            f"numpy.lib.{attr} is now private. If you are using a public "
+            "function, it should be available in the main numpy namespace, "
+            "otherwise check the NumPy 2.0 migration guide.",
+            name=None
+        )
+    elif attr == "arrayterator":
+        raise AttributeError(
+            "numpy.lib.arrayterator submodule is now private. To access "
+            "Arrayterator class use numpy.lib.Arrayterator.",
+            name=None
+        )
+    else:
+        raise AttributeError("module {!r} has no attribute "
+                             "{!r}".format(__name__, attr))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/__init__.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..19d6ea7a4d3f52a70916e9ca25bb2816cdd5e974
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/__init__.pyi
@@ -0,0 +1,20 @@
+from numpy._core.multiarray import add_docstring, tracemalloc_domain
+from numpy._core.function_base import add_newdoc
+
+from . import array_utils, format, introspect, mixins, npyio, scimath, stride_tricks  # noqa: F401
+from ._version import NumpyVersion
+from ._arrayterator_impl import Arrayterator
+
+__all__ = [
+    "Arrayterator",
+    "add_docstring",
+    "add_newdoc",
+    "array_utils",
+    "introspect",
+    "mixins",
+    "NumpyVersion",
+    "npyio",
+    "scimath",
+    "stride_tricks",
+    "tracemalloc_domain",
+]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_array_utils_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_array_utils_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..d5f778160358a05cc642ef43ebd523cff19e2206
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_array_utils_impl.py
@@ -0,0 +1,62 @@
+"""
+Miscellaneous utils.
+"""
+from numpy._core import asarray
+from numpy._core.numeric import normalize_axis_tuple, normalize_axis_index
+from numpy._utils import set_module
+
+__all__ = ["byte_bounds", "normalize_axis_tuple", "normalize_axis_index"]
+
+
+@set_module("numpy.lib.array_utils")
+def byte_bounds(a):
+    """
+    Returns pointers to the end-points of an array.
+
+    Parameters
+    ----------
+    a : ndarray
+        Input array. It must conform to the Python-side of the array
+        interface.
+
+    Returns
+    -------
+    (low, high) : tuple of 2 integers
+        The first integer is the first byte of the array, the second
+        integer is just past the last byte of the array.  If `a` is not
+        contiguous it will not use every byte between the (`low`, `high`)
+        values.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> I = np.eye(2, dtype='f'); I.dtype
+    dtype('float32')
+    >>> low, high = np.lib.array_utils.byte_bounds(I)
+    >>> high - low == I.size*I.itemsize
+    True
+    >>> I = np.eye(2); I.dtype
+    dtype('float64')
+    >>> low, high = np.lib.array_utils.byte_bounds(I)
+    >>> high - low == I.size*I.itemsize
+    True
+
+    """
+    ai = a.__array_interface__
+    a_data = ai['data'][0]
+    astrides = ai['strides']
+    ashape = ai['shape']
+    bytes_a = asarray(a).dtype.itemsize
+
+    a_low = a_high = a_data
+    if astrides is None:
+        # contiguous case
+        a_high += a.size * bytes_a
+    else:
+        for shape, stride in zip(ashape, astrides):
+            if stride < 0:
+                a_low += (shape-1)*stride
+            else:
+                a_high += (shape-1)*stride
+        a_high += bytes_a
+    return a_low, a_high
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_array_utils_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_array_utils_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..11a2aafb8837dd1ac31f048743202933482da4a3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_array_utils_impl.pyi
@@ -0,0 +1,25 @@
+from typing import Any, Iterable
+
+from numpy import generic
+from numpy.typing import NDArray
+
+__all__ = ["byte_bounds", "normalize_axis_tuple", "normalize_axis_index"]
+
+# NOTE: In practice `byte_bounds` can (potentially) take any object
+# implementing the `__array_interface__` protocol. The caveat is
+# that certain keys, marked as optional in the spec, must be present for
+#  `byte_bounds`. This concerns `"strides"` and `"data"`.
+def byte_bounds(a: generic | NDArray[Any]) -> tuple[int, int]: ...
+
+def normalize_axis_tuple(
+    axis: int | Iterable[int],
+    ndim: int = ...,
+    argname: None | str = ...,
+    allow_duplicate: None | bool = ...,
+) -> tuple[int, int]: ...
+
+def normalize_axis_index(
+    axis: int = ...,
+    ndim: int = ...,
+    msg_prefix: None | str = ...,
+) -> int: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraypad_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraypad_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..2e190871722ba8d9fba81bafe66e07a1e5462cdb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraypad_impl.py
@@ -0,0 +1,891 @@
+"""
+The arraypad module contains a group of functions to pad values onto the edges
+of an n-dimensional array.
+
+"""
+import numpy as np
+from numpy._core.overrides import array_function_dispatch
+from numpy.lib._index_tricks_impl import ndindex
+
+
+__all__ = ['pad']
+
+
+###############################################################################
+# Private utility functions.
+
+
+def _round_if_needed(arr, dtype):
+    """
+    Rounds arr inplace if destination dtype is integer.
+
+    Parameters
+    ----------
+    arr : ndarray
+        Input array.
+    dtype : dtype
+        The dtype of the destination array.
+    """
+    if np.issubdtype(dtype, np.integer):
+        arr.round(out=arr)
+
+
+def _slice_at_axis(sl, axis):
+    """
+    Construct tuple of slices to slice an array in the given dimension.
+
+    Parameters
+    ----------
+    sl : slice
+        The slice for the given dimension.
+    axis : int
+        The axis to which `sl` is applied. All other dimensions are left
+        "unsliced".
+
+    Returns
+    -------
+    sl : tuple of slices
+        A tuple with slices matching `shape` in length.
+
+    Examples
+    --------
+    >>> np._slice_at_axis(slice(None, 3, -1), 1)
+    (slice(None, None, None), slice(None, 3, -1), (...,))
+    """
+    return (slice(None),) * axis + (sl,) + (...,)
+
+
+def _view_roi(array, original_area_slice, axis):
+    """
+    Get a view of the current region of interest during iterative padding.
+
+    When padding multiple dimensions iteratively corner values are
+    unnecessarily overwritten multiple times. This function reduces the
+    working area for the first dimensions so that corners are excluded.
+
+    Parameters
+    ----------
+    array : ndarray
+        The array with the region of interest.
+    original_area_slice : tuple of slices
+        Denotes the area with original values of the unpadded array.
+    axis : int
+        The currently padded dimension assuming that `axis` is padded before
+        `axis` + 1.
+
+    Returns
+    -------
+    roi : ndarray
+        The region of interest of the original `array`.
+    """
+    axis += 1
+    sl = (slice(None),) * axis + original_area_slice[axis:]
+    return array[sl]
+
+
+def _pad_simple(array, pad_width, fill_value=None):
+    """
+    Pad array on all sides with either a single value or undefined values.
+
+    Parameters
+    ----------
+    array : ndarray
+        Array to grow.
+    pad_width : sequence of tuple[int, int]
+        Pad width on both sides for each dimension in `arr`.
+    fill_value : scalar, optional
+        If provided the padded area is filled with this value, otherwise
+        the pad area left undefined.
+
+    Returns
+    -------
+    padded : ndarray
+        The padded array with the same dtype as`array`. Its order will default
+        to C-style if `array` is not F-contiguous.
+    original_area_slice : tuple
+        A tuple of slices pointing to the area of the original array.
+    """
+    # Allocate grown array
+    new_shape = tuple(
+        left + size + right
+        for size, (left, right) in zip(array.shape, pad_width)
+    )
+    order = 'F' if array.flags.fnc else 'C'  # Fortran and not also C-order
+    padded = np.empty(new_shape, dtype=array.dtype, order=order)
+
+    if fill_value is not None:
+        padded.fill(fill_value)
+
+    # Copy old array into correct space
+    original_area_slice = tuple(
+        slice(left, left + size)
+        for size, (left, right) in zip(array.shape, pad_width)
+    )
+    padded[original_area_slice] = array
+
+    return padded, original_area_slice
+
+
+def _set_pad_area(padded, axis, width_pair, value_pair):
+    """
+    Set empty-padded area in given dimension.
+
+    Parameters
+    ----------
+    padded : ndarray
+        Array with the pad area which is modified inplace.
+    axis : int
+        Dimension with the pad area to set.
+    width_pair : (int, int)
+        Pair of widths that mark the pad area on both sides in the given
+        dimension.
+    value_pair : tuple of scalars or ndarrays
+        Values inserted into the pad area on each side. It must match or be
+        broadcastable to the shape of `arr`.
+    """
+    left_slice = _slice_at_axis(slice(None, width_pair[0]), axis)
+    padded[left_slice] = value_pair[0]
+
+    right_slice = _slice_at_axis(
+        slice(padded.shape[axis] - width_pair[1], None), axis)
+    padded[right_slice] = value_pair[1]
+
+
+def _get_edges(padded, axis, width_pair):
+    """
+    Retrieve edge values from empty-padded array in given dimension.
+
+    Parameters
+    ----------
+    padded : ndarray
+        Empty-padded array.
+    axis : int
+        Dimension in which the edges are considered.
+    width_pair : (int, int)
+        Pair of widths that mark the pad area on both sides in the given
+        dimension.
+
+    Returns
+    -------
+    left_edge, right_edge : ndarray
+        Edge values of the valid area in `padded` in the given dimension. Its
+        shape will always match `padded` except for the dimension given by
+        `axis` which will have a length of 1.
+    """
+    left_index = width_pair[0]
+    left_slice = _slice_at_axis(slice(left_index, left_index + 1), axis)
+    left_edge = padded[left_slice]
+
+    right_index = padded.shape[axis] - width_pair[1]
+    right_slice = _slice_at_axis(slice(right_index - 1, right_index), axis)
+    right_edge = padded[right_slice]
+
+    return left_edge, right_edge
+
+
+def _get_linear_ramps(padded, axis, width_pair, end_value_pair):
+    """
+    Construct linear ramps for empty-padded array in given dimension.
+
+    Parameters
+    ----------
+    padded : ndarray
+        Empty-padded array.
+    axis : int
+        Dimension in which the ramps are constructed.
+    width_pair : (int, int)
+        Pair of widths that mark the pad area on both sides in the given
+        dimension.
+    end_value_pair : (scalar, scalar)
+        End values for the linear ramps which form the edge of the fully padded
+        array. These values are included in the linear ramps.
+
+    Returns
+    -------
+    left_ramp, right_ramp : ndarray
+        Linear ramps to set on both sides of `padded`.
+    """
+    edge_pair = _get_edges(padded, axis, width_pair)
+
+    left_ramp, right_ramp = (
+        np.linspace(
+            start=end_value,
+            stop=edge.squeeze(axis), # Dimension is replaced by linspace
+            num=width,
+            endpoint=False,
+            dtype=padded.dtype,
+            axis=axis
+        )
+        for end_value, edge, width in zip(
+            end_value_pair, edge_pair, width_pair
+        )
+    )
+
+    # Reverse linear space in appropriate dimension
+    right_ramp = right_ramp[_slice_at_axis(slice(None, None, -1), axis)]
+
+    return left_ramp, right_ramp
+
+
+def _get_stats(padded, axis, width_pair, length_pair, stat_func):
+    """
+    Calculate statistic for the empty-padded array in given dimension.
+
+    Parameters
+    ----------
+    padded : ndarray
+        Empty-padded array.
+    axis : int
+        Dimension in which the statistic is calculated.
+    width_pair : (int, int)
+        Pair of widths that mark the pad area on both sides in the given
+        dimension.
+    length_pair : 2-element sequence of None or int
+        Gives the number of values in valid area from each side that is
+        taken into account when calculating the statistic. If None the entire
+        valid area in `padded` is considered.
+    stat_func : function
+        Function to compute statistic. The expected signature is
+        ``stat_func(x: ndarray, axis: int, keepdims: bool) -> ndarray``.
+
+    Returns
+    -------
+    left_stat, right_stat : ndarray
+        Calculated statistic for both sides of `padded`.
+    """
+    # Calculate indices of the edges of the area with original values
+    left_index = width_pair[0]
+    right_index = padded.shape[axis] - width_pair[1]
+    # as well as its length
+    max_length = right_index - left_index
+
+    # Limit stat_lengths to max_length
+    left_length, right_length = length_pair
+    if left_length is None or max_length < left_length:
+        left_length = max_length
+    if right_length is None or max_length < right_length:
+        right_length = max_length
+
+    if (left_length == 0 or right_length == 0) \
+            and stat_func in {np.amax, np.amin}:
+        # amax and amin can't operate on an empty array,
+        # raise a more descriptive warning here instead of the default one
+        raise ValueError("stat_length of 0 yields no value for padding")
+
+    # Calculate statistic for the left side
+    left_slice = _slice_at_axis(
+        slice(left_index, left_index + left_length), axis)
+    left_chunk = padded[left_slice]
+    left_stat = stat_func(left_chunk, axis=axis, keepdims=True)
+    _round_if_needed(left_stat, padded.dtype)
+
+    if left_length == right_length == max_length:
+        # return early as right_stat must be identical to left_stat
+        return left_stat, left_stat
+
+    # Calculate statistic for the right side
+    right_slice = _slice_at_axis(
+        slice(right_index - right_length, right_index), axis)
+    right_chunk = padded[right_slice]
+    right_stat = stat_func(right_chunk, axis=axis, keepdims=True)
+    _round_if_needed(right_stat, padded.dtype)
+
+    return left_stat, right_stat
+
+
+def _set_reflect_both(padded, axis, width_pair, method,
+                      original_period, include_edge=False):
+    """
+    Pad `axis` of `arr` with reflection.
+
+    Parameters
+    ----------
+    padded : ndarray
+        Input array of arbitrary shape.
+    axis : int
+        Axis along which to pad `arr`.
+    width_pair : (int, int)
+        Pair of widths that mark the pad area on both sides in the given
+        dimension.
+    method : str
+        Controls method of reflection; options are 'even' or 'odd'.
+    original_period : int
+        Original length of data on `axis` of `arr`.
+    include_edge : bool
+        If true, edge value is included in reflection, otherwise the edge
+        value forms the symmetric axis to the reflection.
+
+    Returns
+    -------
+    pad_amt : tuple of ints, length 2
+        New index positions of padding to do along the `axis`. If these are
+        both 0, padding is done in this dimension.
+    """
+    left_pad, right_pad = width_pair
+    old_length = padded.shape[axis] - right_pad - left_pad
+
+    if include_edge:
+        # Avoid wrapping with only a subset of the original area
+        # by ensuring period can only be a multiple of the original
+        # area's length.
+        old_length = old_length // original_period * original_period
+        # Edge is included, we need to offset the pad amount by 1
+        edge_offset = 1
+    else:
+        # Avoid wrapping with only a subset of the original area
+        # by ensuring period can only be a multiple of the original
+        # area's length.
+        old_length = ((old_length - 1) // (original_period - 1)
+            * (original_period - 1) + 1)
+        edge_offset = 0  # Edge is not included, no need to offset pad amount
+        old_length -= 1  # but must be omitted from the chunk
+
+    if left_pad > 0:
+        # Pad with reflected values on left side:
+        # First limit chunk size which can't be larger than pad area
+        chunk_length = min(old_length, left_pad)
+        # Slice right to left, stop on or next to edge, start relative to stop
+        stop = left_pad - edge_offset
+        start = stop + chunk_length
+        left_slice = _slice_at_axis(slice(start, stop, -1), axis)
+        left_chunk = padded[left_slice]
+
+        if method == "odd":
+            # Negate chunk and align with edge
+            edge_slice = _slice_at_axis(slice(left_pad, left_pad + 1), axis)
+            left_chunk = 2 * padded[edge_slice] - left_chunk
+
+        # Insert chunk into padded area
+        start = left_pad - chunk_length
+        stop = left_pad
+        pad_area = _slice_at_axis(slice(start, stop), axis)
+        padded[pad_area] = left_chunk
+        # Adjust pointer to left edge for next iteration
+        left_pad -= chunk_length
+
+    if right_pad > 0:
+        # Pad with reflected values on right side:
+        # First limit chunk size which can't be larger than pad area
+        chunk_length = min(old_length, right_pad)
+        # Slice right to left, start on or next to edge, stop relative to start
+        start = -right_pad + edge_offset - 2
+        stop = start - chunk_length
+        right_slice = _slice_at_axis(slice(start, stop, -1), axis)
+        right_chunk = padded[right_slice]
+
+        if method == "odd":
+            # Negate chunk and align with edge
+            edge_slice = _slice_at_axis(
+                slice(-right_pad - 1, -right_pad), axis)
+            right_chunk = 2 * padded[edge_slice] - right_chunk
+
+        # Insert chunk into padded area
+        start = padded.shape[axis] - right_pad
+        stop = start + chunk_length
+        pad_area = _slice_at_axis(slice(start, stop), axis)
+        padded[pad_area] = right_chunk
+        # Adjust pointer to right edge for next iteration
+        right_pad -= chunk_length
+
+    return left_pad, right_pad
+
+
+def _set_wrap_both(padded, axis, width_pair, original_period):
+    """
+    Pad `axis` of `arr` with wrapped values.
+
+    Parameters
+    ----------
+    padded : ndarray
+        Input array of arbitrary shape.
+    axis : int
+        Axis along which to pad `arr`.
+    width_pair : (int, int)
+        Pair of widths that mark the pad area on both sides in the given
+        dimension.
+    original_period : int
+        Original length of data on `axis` of `arr`.
+
+    Returns
+    -------
+    pad_amt : tuple of ints, length 2
+        New index positions of padding to do along the `axis`. If these are
+        both 0, padding is done in this dimension.
+    """
+    left_pad, right_pad = width_pair
+    period = padded.shape[axis] - right_pad - left_pad
+    # Avoid wrapping with only a subset of the original area by ensuring period
+    # can only be a multiple of the original area's length.
+    period = period // original_period * original_period
+
+    # If the current dimension of `arr` doesn't contain enough valid values
+    # (not part of the undefined pad area) we need to pad multiple times.
+    # Each time the pad area shrinks on both sides which is communicated with
+    # these variables.
+    new_left_pad = 0
+    new_right_pad = 0
+
+    if left_pad > 0:
+        # Pad with wrapped values on left side
+        # First slice chunk from left side of the non-pad area.
+        # Use min(period, left_pad) to ensure that chunk is not larger than
+        # pad area.
+        slice_end = left_pad + period
+        slice_start = slice_end - min(period, left_pad)
+        right_slice = _slice_at_axis(slice(slice_start, slice_end), axis)
+        right_chunk = padded[right_slice]
+
+        if left_pad > period:
+            # Chunk is smaller than pad area
+            pad_area = _slice_at_axis(slice(left_pad - period, left_pad), axis)
+            new_left_pad = left_pad - period
+        else:
+            # Chunk matches pad area
+            pad_area = _slice_at_axis(slice(None, left_pad), axis)
+        padded[pad_area] = right_chunk
+
+    if right_pad > 0:
+        # Pad with wrapped values on right side
+        # First slice chunk from right side of the non-pad area.
+        # Use min(period, right_pad) to ensure that chunk is not larger than
+        # pad area.
+        slice_start = -right_pad - period
+        slice_end = slice_start + min(period, right_pad)
+        left_slice = _slice_at_axis(slice(slice_start, slice_end), axis)
+        left_chunk = padded[left_slice]
+
+        if right_pad > period:
+            # Chunk is smaller than pad area
+            pad_area = _slice_at_axis(
+                slice(-right_pad, -right_pad + period), axis)
+            new_right_pad = right_pad - period
+        else:
+            # Chunk matches pad area
+            pad_area = _slice_at_axis(slice(-right_pad, None), axis)
+        padded[pad_area] = left_chunk
+
+    return new_left_pad, new_right_pad
+
+
+def _as_pairs(x, ndim, as_index=False):
+    """
+    Broadcast `x` to an array with the shape (`ndim`, 2).
+
+    A helper function for `pad` that prepares and validates arguments like
+    `pad_width` for iteration in pairs.
+
+    Parameters
+    ----------
+    x : {None, scalar, array-like}
+        The object to broadcast to the shape (`ndim`, 2).
+    ndim : int
+        Number of pairs the broadcasted `x` will have.
+    as_index : bool, optional
+        If `x` is not None, try to round each element of `x` to an integer
+        (dtype `np.intp`) and ensure every element is positive.
+
+    Returns
+    -------
+    pairs : nested iterables, shape (`ndim`, 2)
+        The broadcasted version of `x`.
+
+    Raises
+    ------
+    ValueError
+        If `as_index` is True and `x` contains negative elements.
+        Or if `x` is not broadcastable to the shape (`ndim`, 2).
+    """
+    if x is None:
+        # Pass through None as a special case, otherwise np.round(x) fails
+        # with an AttributeError
+        return ((None, None),) * ndim
+
+    x = np.array(x)
+    if as_index:
+        x = np.round(x).astype(np.intp, copy=False)
+
+    if x.ndim < 3:
+        # Optimization: Possibly use faster paths for cases where `x` has
+        # only 1 or 2 elements. `np.broadcast_to` could handle these as well
+        # but is currently slower
+
+        if x.size == 1:
+            # x was supplied as a single value
+            x = x.ravel()  # Ensure x[0] works for x.ndim == 0, 1, 2
+            if as_index and x < 0:
+                raise ValueError("index can't contain negative values")
+            return ((x[0], x[0]),) * ndim
+
+        if x.size == 2 and x.shape != (2, 1):
+            # x was supplied with a single value for each side
+            # but except case when each dimension has a single value
+            # which should be broadcasted to a pair,
+            # e.g. [[1], [2]] -> [[1, 1], [2, 2]] not [[1, 2], [1, 2]]
+            x = x.ravel()  # Ensure x[0], x[1] works
+            if as_index and (x[0] < 0 or x[1] < 0):
+                raise ValueError("index can't contain negative values")
+            return ((x[0], x[1]),) * ndim
+
+    if as_index and x.min() < 0:
+        raise ValueError("index can't contain negative values")
+
+    # Converting the array with `tolist` seems to improve performance
+    # when iterating and indexing the result (see usage in `pad`)
+    return np.broadcast_to(x, (ndim, 2)).tolist()
+
+
+def _pad_dispatcher(array, pad_width, mode=None, **kwargs):
+    return (array,)
+
+
+###############################################################################
+# Public functions
+
+
+@array_function_dispatch(_pad_dispatcher, module='numpy')
+def pad(array, pad_width, mode='constant', **kwargs):
+    """
+    Pad an array.
+
+    Parameters
+    ----------
+    array : array_like of rank N
+        The array to pad.
+    pad_width : {sequence, array_like, int}
+        Number of values padded to the edges of each axis.
+        ``((before_1, after_1), ... (before_N, after_N))`` unique pad widths
+        for each axis.
+        ``(before, after)`` or ``((before, after),)`` yields same before
+        and after pad for each axis.
+        ``(pad,)`` or ``int`` is a shortcut for before = after = pad width
+        for all axes.
+    mode : str or function, optional
+        One of the following string values or a user supplied function.
+
+        'constant' (default)
+            Pads with a constant value.
+        'edge'
+            Pads with the edge values of array.
+        'linear_ramp'
+            Pads with the linear ramp between end_value and the
+            array edge value.
+        'maximum'
+            Pads with the maximum value of all or part of the
+            vector along each axis.
+        'mean'
+            Pads with the mean value of all or part of the
+            vector along each axis.
+        'median'
+            Pads with the median value of all or part of the
+            vector along each axis.
+        'minimum'
+            Pads with the minimum value of all or part of the
+            vector along each axis.
+        'reflect'
+            Pads with the reflection of the vector mirrored on
+            the first and last values of the vector along each
+            axis.
+        'symmetric'
+            Pads with the reflection of the vector mirrored
+            along the edge of the array.
+        'wrap'
+            Pads with the wrap of the vector along the axis.
+            The first values are used to pad the end and the
+            end values are used to pad the beginning.
+        'empty'
+            Pads with undefined values.
+
+        
+            Padding function, see Notes.
+    stat_length : sequence or int, optional
+        Used in 'maximum', 'mean', 'median', and 'minimum'.  Number of
+        values at edge of each axis used to calculate the statistic value.
+
+        ``((before_1, after_1), ... (before_N, after_N))`` unique statistic
+        lengths for each axis.
+
+        ``(before, after)`` or ``((before, after),)`` yields same before
+        and after statistic lengths for each axis.
+
+        ``(stat_length,)`` or ``int`` is a shortcut for
+        ``before = after = statistic`` length for all axes.
+
+        Default is ``None``, to use the entire axis.
+    constant_values : sequence or scalar, optional
+        Used in 'constant'.  The values to set the padded values for each
+        axis.
+
+        ``((before_1, after_1), ... (before_N, after_N))`` unique pad constants
+        for each axis.
+
+        ``(before, after)`` or ``((before, after),)`` yields same before
+        and after constants for each axis.
+
+        ``(constant,)`` or ``constant`` is a shortcut for
+        ``before = after = constant`` for all axes.
+
+        Default is 0.
+    end_values : sequence or scalar, optional
+        Used in 'linear_ramp'.  The values used for the ending value of the
+        linear_ramp and that will form the edge of the padded array.
+
+        ``((before_1, after_1), ... (before_N, after_N))`` unique end values
+        for each axis.
+
+        ``(before, after)`` or ``((before, after),)`` yields same before
+        and after end values for each axis.
+
+        ``(constant,)`` or ``constant`` is a shortcut for
+        ``before = after = constant`` for all axes.
+
+        Default is 0.
+    reflect_type : {'even', 'odd'}, optional
+        Used in 'reflect', and 'symmetric'.  The 'even' style is the
+        default with an unaltered reflection around the edge value.  For
+        the 'odd' style, the extended part of the array is created by
+        subtracting the reflected values from two times the edge value.
+
+    Returns
+    -------
+    pad : ndarray
+        Padded array of rank equal to `array` with shape increased
+        according to `pad_width`.
+
+    Notes
+    -----
+    For an array with rank greater than 1, some of the padding of later
+    axes is calculated from padding of previous axes.  This is easiest to
+    think about with a rank 2 array where the corners of the padded array
+    are calculated by using padded values from the first axis.
+
+    The padding function, if used, should modify a rank 1 array in-place. It
+    has the following signature::
+
+        padding_func(vector, iaxis_pad_width, iaxis, kwargs)
+
+    where
+
+    vector : ndarray
+        A rank 1 array already padded with zeros.  Padded values are
+        vector[:iaxis_pad_width[0]] and vector[-iaxis_pad_width[1]:].
+    iaxis_pad_width : tuple
+        A 2-tuple of ints, iaxis_pad_width[0] represents the number of
+        values padded at the beginning of vector where
+        iaxis_pad_width[1] represents the number of values padded at
+        the end of vector.
+    iaxis : int
+        The axis currently being calculated.
+    kwargs : dict
+        Any keyword arguments the function requires.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = [1, 2, 3, 4, 5]
+    >>> np.pad(a, (2, 3), 'constant', constant_values=(4, 6))
+    array([4, 4, 1, ..., 6, 6, 6])
+
+    >>> np.pad(a, (2, 3), 'edge')
+    array([1, 1, 1, ..., 5, 5, 5])
+
+    >>> np.pad(a, (2, 3), 'linear_ramp', end_values=(5, -4))
+    array([ 5,  3,  1,  2,  3,  4,  5,  2, -1, -4])
+
+    >>> np.pad(a, (2,), 'maximum')
+    array([5, 5, 1, 2, 3, 4, 5, 5, 5])
+
+    >>> np.pad(a, (2,), 'mean')
+    array([3, 3, 1, 2, 3, 4, 5, 3, 3])
+
+    >>> np.pad(a, (2,), 'median')
+    array([3, 3, 1, 2, 3, 4, 5, 3, 3])
+
+    >>> a = [[1, 2], [3, 4]]
+    >>> np.pad(a, ((3, 2), (2, 3)), 'minimum')
+    array([[1, 1, 1, 2, 1, 1, 1],
+           [1, 1, 1, 2, 1, 1, 1],
+           [1, 1, 1, 2, 1, 1, 1],
+           [1, 1, 1, 2, 1, 1, 1],
+           [3, 3, 3, 4, 3, 3, 3],
+           [1, 1, 1, 2, 1, 1, 1],
+           [1, 1, 1, 2, 1, 1, 1]])
+
+    >>> a = [1, 2, 3, 4, 5]
+    >>> np.pad(a, (2, 3), 'reflect')
+    array([3, 2, 1, 2, 3, 4, 5, 4, 3, 2])
+
+    >>> np.pad(a, (2, 3), 'reflect', reflect_type='odd')
+    array([-1,  0,  1,  2,  3,  4,  5,  6,  7,  8])
+
+    >>> np.pad(a, (2, 3), 'symmetric')
+    array([2, 1, 1, 2, 3, 4, 5, 5, 4, 3])
+
+    >>> np.pad(a, (2, 3), 'symmetric', reflect_type='odd')
+    array([0, 1, 1, 2, 3, 4, 5, 5, 6, 7])
+
+    >>> np.pad(a, (2, 3), 'wrap')
+    array([4, 5, 1, 2, 3, 4, 5, 1, 2, 3])
+
+    >>> def pad_with(vector, pad_width, iaxis, kwargs):
+    ...     pad_value = kwargs.get('padder', 10)
+    ...     vector[:pad_width[0]] = pad_value
+    ...     vector[-pad_width[1]:] = pad_value
+    >>> a = np.arange(6)
+    >>> a = a.reshape((2, 3))
+    >>> np.pad(a, 2, pad_with)
+    array([[10, 10, 10, 10, 10, 10, 10],
+           [10, 10, 10, 10, 10, 10, 10],
+           [10, 10,  0,  1,  2, 10, 10],
+           [10, 10,  3,  4,  5, 10, 10],
+           [10, 10, 10, 10, 10, 10, 10],
+           [10, 10, 10, 10, 10, 10, 10]])
+    >>> np.pad(a, 2, pad_with, padder=100)
+    array([[100, 100, 100, 100, 100, 100, 100],
+           [100, 100, 100, 100, 100, 100, 100],
+           [100, 100,   0,   1,   2, 100, 100],
+           [100, 100,   3,   4,   5, 100, 100],
+           [100, 100, 100, 100, 100, 100, 100],
+           [100, 100, 100, 100, 100, 100, 100]])
+    """
+    array = np.asarray(array)
+    pad_width = np.asarray(pad_width)
+
+    if not pad_width.dtype.kind == 'i':
+        raise TypeError('`pad_width` must be of integral type.')
+
+    # Broadcast to shape (array.ndim, 2)
+    pad_width = _as_pairs(pad_width, array.ndim, as_index=True)
+
+    if callable(mode):
+        # Old behavior: Use user-supplied function with np.apply_along_axis
+        function = mode
+        # Create a new zero padded array
+        padded, _ = _pad_simple(array, pad_width, fill_value=0)
+        # And apply along each axis
+
+        for axis in range(padded.ndim):
+            # Iterate using ndindex as in apply_along_axis, but assuming that
+            # function operates inplace on the padded array.
+
+            # view with the iteration axis at the end
+            view = np.moveaxis(padded, axis, -1)
+
+            # compute indices for the iteration axes, and append a trailing
+            # ellipsis to prevent 0d arrays decaying to scalars (gh-8642)
+            inds = ndindex(view.shape[:-1])
+            inds = (ind + (Ellipsis,) for ind in inds)
+            for ind in inds:
+                function(view[ind], pad_width[axis], axis, kwargs)
+
+        return padded
+
+    # Make sure that no unsupported keywords were passed for the current mode
+    allowed_kwargs = {
+        'empty': [], 'edge': [], 'wrap': [],
+        'constant': ['constant_values'],
+        'linear_ramp': ['end_values'],
+        'maximum': ['stat_length'],
+        'mean': ['stat_length'],
+        'median': ['stat_length'],
+        'minimum': ['stat_length'],
+        'reflect': ['reflect_type'],
+        'symmetric': ['reflect_type'],
+    }
+    try:
+        unsupported_kwargs = set(kwargs) - set(allowed_kwargs[mode])
+    except KeyError:
+        raise ValueError("mode '{}' is not supported".format(mode)) from None
+    if unsupported_kwargs:
+        raise ValueError("unsupported keyword arguments for mode '{}': {}"
+                         .format(mode, unsupported_kwargs))
+
+    stat_functions = {"maximum": np.amax, "minimum": np.amin,
+                      "mean": np.mean, "median": np.median}
+
+    # Create array with final shape and original values
+    # (padded area is undefined)
+    padded, original_area_slice = _pad_simple(array, pad_width)
+    # And prepare iteration over all dimensions
+    # (zipping may be more readable than using enumerate)
+    axes = range(padded.ndim)
+
+    if mode == "constant":
+        values = kwargs.get("constant_values", 0)
+        values = _as_pairs(values, padded.ndim)
+        for axis, width_pair, value_pair in zip(axes, pad_width, values):
+            roi = _view_roi(padded, original_area_slice, axis)
+            _set_pad_area(roi, axis, width_pair, value_pair)
+
+    elif mode == "empty":
+        pass  # Do nothing as _pad_simple already returned the correct result
+
+    elif array.size == 0:
+        # Only modes "constant" and "empty" can extend empty axes, all other
+        # modes depend on `array` not being empty
+        # -> ensure every empty axis is only "padded with 0"
+        for axis, width_pair in zip(axes, pad_width):
+            if array.shape[axis] == 0 and any(width_pair):
+                raise ValueError(
+                    "can't extend empty axis {} using modes other than "
+                    "'constant' or 'empty'".format(axis)
+                )
+        # passed, don't need to do anything more as _pad_simple already
+        # returned the correct result
+
+    elif mode == "edge":
+        for axis, width_pair in zip(axes, pad_width):
+            roi = _view_roi(padded, original_area_slice, axis)
+            edge_pair = _get_edges(roi, axis, width_pair)
+            _set_pad_area(roi, axis, width_pair, edge_pair)
+
+    elif mode == "linear_ramp":
+        end_values = kwargs.get("end_values", 0)
+        end_values = _as_pairs(end_values, padded.ndim)
+        for axis, width_pair, value_pair in zip(axes, pad_width, end_values):
+            roi = _view_roi(padded, original_area_slice, axis)
+            ramp_pair = _get_linear_ramps(roi, axis, width_pair, value_pair)
+            _set_pad_area(roi, axis, width_pair, ramp_pair)
+
+    elif mode in stat_functions:
+        func = stat_functions[mode]
+        length = kwargs.get("stat_length", None)
+        length = _as_pairs(length, padded.ndim, as_index=True)
+        for axis, width_pair, length_pair in zip(axes, pad_width, length):
+            roi = _view_roi(padded, original_area_slice, axis)
+            stat_pair = _get_stats(roi, axis, width_pair, length_pair, func)
+            _set_pad_area(roi, axis, width_pair, stat_pair)
+
+    elif mode in {"reflect", "symmetric"}:
+        method = kwargs.get("reflect_type", "even")
+        include_edge = mode == "symmetric"
+        for axis, (left_index, right_index) in zip(axes, pad_width):
+            if array.shape[axis] == 1 and (left_index > 0 or right_index > 0):
+                # Extending singleton dimension for 'reflect' is legacy
+                # behavior; it really should raise an error.
+                edge_pair = _get_edges(padded, axis, (left_index, right_index))
+                _set_pad_area(
+                    padded, axis, (left_index, right_index), edge_pair)
+                continue
+
+            roi = _view_roi(padded, original_area_slice, axis)
+            while left_index > 0 or right_index > 0:
+                # Iteratively pad until dimension is filled with reflected
+                # values. This is necessary if the pad area is larger than
+                # the length of the original values in the current dimension.
+                left_index, right_index = _set_reflect_both(
+                    roi, axis, (left_index, right_index),
+                    method, array.shape[axis], include_edge
+                )
+
+    elif mode == "wrap":
+        for axis, (left_index, right_index) in zip(axes, pad_width):
+            roi = _view_roi(padded, original_area_slice, axis)
+            original_period = padded.shape[axis] - right_index - left_index
+            while left_index > 0 or right_index > 0:
+                # Iteratively pad until dimension is filled with wrapped
+                # values. This is necessary if the pad area is larger than
+                # the length of the original values in the current dimension.
+                left_index, right_index = _set_wrap_both(
+                    roi, axis, (left_index, right_index), original_period)
+
+    return padded
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraypad_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraypad_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..3a2c433c338a2eadd2afd83182bb9738ab37fffb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraypad_impl.pyi
@@ -0,0 +1,89 @@
+from typing import (
+    Literal as L,
+    Any,
+    TypeAlias,
+    overload,
+    TypeVar,
+    Protocol,
+    type_check_only,
+)
+
+from numpy import generic
+
+from numpy._typing import (
+    ArrayLike,
+    NDArray,
+    _ArrayLikeInt,
+    _ArrayLike,
+)
+
+__all__ = ["pad"]
+
+_SCT = TypeVar("_SCT", bound=generic)
+
+@type_check_only
+class _ModeFunc(Protocol):
+    def __call__(
+        self,
+        vector: NDArray[Any],
+        iaxis_pad_width: tuple[int, int],
+        iaxis: int,
+        kwargs: dict[str, Any],
+        /,
+    ) -> None: ...
+
+_ModeKind: TypeAlias = L[
+    "constant",
+    "edge",
+    "linear_ramp",
+    "maximum",
+    "mean",
+    "median",
+    "minimum",
+    "reflect",
+    "symmetric",
+    "wrap",
+    "empty",
+]
+
+
+# TODO: In practice each keyword argument is exclusive to one or more
+# specific modes. Consider adding more overloads to express this in the future.
+
+# Expand `**kwargs` into explicit keyword-only arguments
+@overload
+def pad(
+    array: _ArrayLike[_SCT],
+    pad_width: _ArrayLikeInt,
+    mode: _ModeKind = ...,
+    *,
+    stat_length: None | _ArrayLikeInt = ...,
+    constant_values: ArrayLike = ...,
+    end_values: ArrayLike = ...,
+    reflect_type: L["odd", "even"] = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def pad(
+    array: ArrayLike,
+    pad_width: _ArrayLikeInt,
+    mode: _ModeKind = ...,
+    *,
+    stat_length: None | _ArrayLikeInt = ...,
+    constant_values: ArrayLike = ...,
+    end_values: ArrayLike = ...,
+    reflect_type: L["odd", "even"] = ...,
+) -> NDArray[Any]: ...
+@overload
+def pad(
+    array: _ArrayLike[_SCT],
+    pad_width: _ArrayLikeInt,
+    mode: _ModeFunc,
+    **kwargs: Any,
+) -> NDArray[_SCT]: ...
+@overload
+def pad(
+    array: ArrayLike,
+    pad_width: _ArrayLikeInt,
+    mode: _ModeFunc,
+    **kwargs: Any,
+) -> NDArray[Any]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraysetops_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraysetops_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..60b3425682fb2e1de1fb4e7a7c99132b80608986
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraysetops_impl.py
@@ -0,0 +1,1215 @@
+"""
+Set operations for arrays based on sorting.
+
+Notes
+-----
+
+For floating point arrays, inaccurate results may appear due to usual round-off
+and floating point comparison issues.
+
+Speed could be gained in some operations by an implementation of
+`numpy.sort`, that can provide directly the permutation vectors, thus avoiding
+calls to `numpy.argsort`.
+
+Original author: Robert Cimrman
+
+"""
+import functools
+import warnings
+from typing import NamedTuple
+
+import numpy as np
+from numpy._core import overrides
+from numpy._core._multiarray_umath import _array_converter
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+__all__ = [
+    "ediff1d", "in1d", "intersect1d", "isin", "setdiff1d", "setxor1d",
+    "union1d", "unique", "unique_all", "unique_counts", "unique_inverse",
+    "unique_values"
+]
+
+
+def _ediff1d_dispatcher(ary, to_end=None, to_begin=None):
+    return (ary, to_end, to_begin)
+
+
+@array_function_dispatch(_ediff1d_dispatcher)
+def ediff1d(ary, to_end=None, to_begin=None):
+    """
+    The differences between consecutive elements of an array.
+
+    Parameters
+    ----------
+    ary : array_like
+        If necessary, will be flattened before the differences are taken.
+    to_end : array_like, optional
+        Number(s) to append at the end of the returned differences.
+    to_begin : array_like, optional
+        Number(s) to prepend at the beginning of the returned differences.
+
+    Returns
+    -------
+    ediff1d : ndarray
+        The differences. Loosely, this is ``ary.flat[1:] - ary.flat[:-1]``.
+
+    See Also
+    --------
+    diff, gradient
+
+    Notes
+    -----
+    When applied to masked arrays, this function drops the mask information
+    if the `to_begin` and/or `to_end` parameters are used.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.array([1, 2, 4, 7, 0])
+    >>> np.ediff1d(x)
+    array([ 1,  2,  3, -7])
+
+    >>> np.ediff1d(x, to_begin=-99, to_end=np.array([88, 99]))
+    array([-99,   1,   2, ...,  -7,  88,  99])
+
+    The returned array is always 1D.
+
+    >>> y = [[1, 2, 4], [1, 6, 24]]
+    >>> np.ediff1d(y)
+    array([ 1,  2, -3,  5, 18])
+
+    """
+    conv = _array_converter(ary)
+    # Convert to (any) array and ravel:
+    ary = conv[0].ravel()
+
+    # enforce that the dtype of `ary` is used for the output
+    dtype_req = ary.dtype
+
+    # fast track default case
+    if to_begin is None and to_end is None:
+        return ary[1:] - ary[:-1]
+
+    if to_begin is None:
+        l_begin = 0
+    else:
+        to_begin = np.asanyarray(to_begin)
+        if not np.can_cast(to_begin, dtype_req, casting="same_kind"):
+            raise TypeError("dtype of `to_begin` must be compatible "
+                            "with input `ary` under the `same_kind` rule.")
+
+        to_begin = to_begin.ravel()
+        l_begin = len(to_begin)
+
+    if to_end is None:
+        l_end = 0
+    else:
+        to_end = np.asanyarray(to_end)
+        if not np.can_cast(to_end, dtype_req, casting="same_kind"):
+            raise TypeError("dtype of `to_end` must be compatible "
+                            "with input `ary` under the `same_kind` rule.")
+
+        to_end = to_end.ravel()
+        l_end = len(to_end)
+
+    # do the calculation in place and copy to_begin and to_end
+    l_diff = max(len(ary) - 1, 0)
+    result = np.empty_like(ary, shape=l_diff + l_begin + l_end)
+
+    if l_begin > 0:
+        result[:l_begin] = to_begin
+    if l_end > 0:
+        result[l_begin + l_diff:] = to_end
+    np.subtract(ary[1:], ary[:-1], result[l_begin:l_begin + l_diff])
+
+    return conv.wrap(result)
+
+
+def _unpack_tuple(x):
+    """ Unpacks one-element tuples for use as return values """
+    if len(x) == 1:
+        return x[0]
+    else:
+        return x
+
+
+def _unique_dispatcher(ar, return_index=None, return_inverse=None,
+                       return_counts=None, axis=None, *, equal_nan=None):
+    return (ar,)
+
+
+@array_function_dispatch(_unique_dispatcher)
+def unique(ar, return_index=False, return_inverse=False,
+           return_counts=False, axis=None, *, equal_nan=True):
+    """
+    Find the unique elements of an array.
+
+    Returns the sorted unique elements of an array. There are three optional
+    outputs in addition to the unique elements:
+
+    * the indices of the input array that give the unique values
+    * the indices of the unique array that reconstruct the input array
+    * the number of times each unique value comes up in the input array
+
+    Parameters
+    ----------
+    ar : array_like
+        Input array. Unless `axis` is specified, this will be flattened if it
+        is not already 1-D.
+    return_index : bool, optional
+        If True, also return the indices of `ar` (along the specified axis,
+        if provided, or in the flattened array) that result in the unique array.
+    return_inverse : bool, optional
+        If True, also return the indices of the unique array (for the specified
+        axis, if provided) that can be used to reconstruct `ar`.
+    return_counts : bool, optional
+        If True, also return the number of times each unique item appears
+        in `ar`.
+    axis : int or None, optional
+        The axis to operate on. If None, `ar` will be flattened. If an integer,
+        the subarrays indexed by the given axis will be flattened and treated
+        as the elements of a 1-D array with the dimension of the given axis,
+        see the notes for more details.  Object arrays or structured arrays
+        that contain objects are not supported if the `axis` kwarg is used. The
+        default is None.
+
+    equal_nan : bool, optional
+        If True, collapses multiple NaN values in the return array into one.
+
+        .. versionadded:: 1.24
+
+    Returns
+    -------
+    unique : ndarray
+        The sorted unique values.
+    unique_indices : ndarray, optional
+        The indices of the first occurrences of the unique values in the
+        original array. Only provided if `return_index` is True.
+    unique_inverse : ndarray, optional
+        The indices to reconstruct the original array from the
+        unique array. Only provided if `return_inverse` is True.
+    unique_counts : ndarray, optional
+        The number of times each of the unique values comes up in the
+        original array. Only provided if `return_counts` is True.
+
+    See Also
+    --------
+    repeat : Repeat elements of an array.
+    sort : Return a sorted copy of an array.
+
+    Notes
+    -----
+    When an axis is specified the subarrays indexed by the axis are sorted.
+    This is done by making the specified axis the first dimension of the array
+    (move the axis to the first dimension to keep the order of the other axes)
+    and then flattening the subarrays in C order. The flattened subarrays are
+    then viewed as a structured type with each element given a label, with the
+    effect that we end up with a 1-D array of structured types that can be
+    treated in the same way as any other 1-D array. The result is that the
+    flattened subarrays are sorted in lexicographic order starting with the
+    first element.
+
+    .. versionchanged:: 1.21
+        Like np.sort, NaN will sort to the end of the values.
+        For complex arrays all NaN values are considered equivalent
+        (no matter whether the NaN is in the real or imaginary part).
+        As the representant for the returned array the smallest one in the
+        lexicographical order is chosen - see np.sort for how the lexicographical
+        order is defined for complex arrays.
+
+    .. versionchanged:: 2.0
+        For multi-dimensional inputs, ``unique_inverse`` is reshaped
+        such that the input can be reconstructed using
+        ``np.take(unique, unique_inverse, axis=axis)``. The result is
+        now not 1-dimensional when ``axis=None``.
+
+        Note that in NumPy 2.0.0 a higher dimensional array was returned also
+        when ``axis`` was not ``None``.  This was reverted, but
+        ``inverse.reshape(-1)`` can be used to ensure compatibility with both
+        versions.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.unique([1, 1, 2, 2, 3, 3])
+    array([1, 2, 3])
+    >>> a = np.array([[1, 1], [2, 3]])
+    >>> np.unique(a)
+    array([1, 2, 3])
+
+    Return the unique rows of a 2D array
+
+    >>> a = np.array([[1, 0, 0], [1, 0, 0], [2, 3, 4]])
+    >>> np.unique(a, axis=0)
+    array([[1, 0, 0], [2, 3, 4]])
+
+    Return the indices of the original array that give the unique values:
+
+    >>> a = np.array(['a', 'b', 'b', 'c', 'a'])
+    >>> u, indices = np.unique(a, return_index=True)
+    >>> u
+    array(['a', 'b', 'c'], dtype='>> indices
+    array([0, 1, 3])
+    >>> a[indices]
+    array(['a', 'b', 'c'], dtype='>> a = np.array([1, 2, 6, 4, 2, 3, 2])
+    >>> u, indices = np.unique(a, return_inverse=True)
+    >>> u
+    array([1, 2, 3, 4, 6])
+    >>> indices
+    array([0, 1, 4, 3, 1, 2, 1])
+    >>> u[indices]
+    array([1, 2, 6, 4, 2, 3, 2])
+
+    Reconstruct the input values from the unique values and counts:
+
+    >>> a = np.array([1, 2, 6, 4, 2, 3, 2])
+    >>> values, counts = np.unique(a, return_counts=True)
+    >>> values
+    array([1, 2, 3, 4, 6])
+    >>> counts
+    array([1, 3, 1, 1, 1])
+    >>> np.repeat(values, counts)
+    array([1, 2, 2, 2, 3, 4, 6])    # original order not preserved
+
+    """
+    ar = np.asanyarray(ar)
+    if axis is None:
+        ret = _unique1d(ar, return_index, return_inverse, return_counts,
+                        equal_nan=equal_nan, inverse_shape=ar.shape, axis=None)
+        return _unpack_tuple(ret)
+
+    # axis was specified and not None
+    try:
+        ar = np.moveaxis(ar, axis, 0)
+    except np.exceptions.AxisError:
+        # this removes the "axis1" or "axis2" prefix from the error message
+        raise np.exceptions.AxisError(axis, ar.ndim) from None
+    inverse_shape = [1] * ar.ndim
+    inverse_shape[axis] = ar.shape[0]
+
+    # Must reshape to a contiguous 2D array for this to work...
+    orig_shape, orig_dtype = ar.shape, ar.dtype
+    ar = ar.reshape(orig_shape[0], np.prod(orig_shape[1:], dtype=np.intp))
+    ar = np.ascontiguousarray(ar)
+    dtype = [('f{i}'.format(i=i), ar.dtype) for i in range(ar.shape[1])]
+
+    # At this point, `ar` has shape `(n, m)`, and `dtype` is a structured
+    # data type with `m` fields where each field has the data type of `ar`.
+    # In the following, we create the array `consolidated`, which has
+    # shape `(n,)` with data type `dtype`.
+    try:
+        if ar.shape[1] > 0:
+            consolidated = ar.view(dtype)
+        else:
+            # If ar.shape[1] == 0, then dtype will be `np.dtype([])`, which is
+            # a data type with itemsize 0, and the call `ar.view(dtype)` will
+            # fail.  Instead, we'll use `np.empty` to explicitly create the
+            # array with shape `(len(ar),)`.  Because `dtype` in this case has
+            # itemsize 0, the total size of the result is still 0 bytes.
+            consolidated = np.empty(len(ar), dtype=dtype)
+    except TypeError as e:
+        # There's no good way to do this for object arrays, etc...
+        msg = 'The axis argument to unique is not supported for dtype {dt}'
+        raise TypeError(msg.format(dt=ar.dtype)) from e
+
+    def reshape_uniq(uniq):
+        n = len(uniq)
+        uniq = uniq.view(orig_dtype)
+        uniq = uniq.reshape(n, *orig_shape[1:])
+        uniq = np.moveaxis(uniq, 0, axis)
+        return uniq
+
+    output = _unique1d(consolidated, return_index,
+                       return_inverse, return_counts,
+                       equal_nan=equal_nan, inverse_shape=inverse_shape,
+                       axis=axis)
+    output = (reshape_uniq(output[0]),) + output[1:]
+    return _unpack_tuple(output)
+
+
+def _unique1d(ar, return_index=False, return_inverse=False,
+              return_counts=False, *, equal_nan=True, inverse_shape=None,
+              axis=None):
+    """
+    Find the unique elements of an array, ignoring shape.
+    """
+    ar = np.asanyarray(ar).flatten()
+
+    optional_indices = return_index or return_inverse
+
+    if optional_indices:
+        perm = ar.argsort(kind='mergesort' if return_index else 'quicksort')
+        aux = ar[perm]
+    else:
+        ar.sort()
+        aux = ar
+    mask = np.empty(aux.shape, dtype=np.bool)
+    mask[:1] = True
+    if (equal_nan and aux.shape[0] > 0 and aux.dtype.kind in "cfmM" and
+            np.isnan(aux[-1])):
+        if aux.dtype.kind == "c":  # for complex all NaNs are considered equivalent
+            aux_firstnan = np.searchsorted(np.isnan(aux), True, side='left')
+        else:
+            aux_firstnan = np.searchsorted(aux, aux[-1], side='left')
+        if aux_firstnan > 0:
+            mask[1:aux_firstnan] = (
+                aux[1:aux_firstnan] != aux[:aux_firstnan - 1])
+        mask[aux_firstnan] = True
+        mask[aux_firstnan + 1:] = False
+    else:
+        mask[1:] = aux[1:] != aux[:-1]
+
+    ret = (aux[mask],)
+    if return_index:
+        ret += (perm[mask],)
+    if return_inverse:
+        imask = np.cumsum(mask) - 1
+        inv_idx = np.empty(mask.shape, dtype=np.intp)
+        inv_idx[perm] = imask
+        ret += (inv_idx.reshape(inverse_shape) if axis is None else inv_idx,)
+    if return_counts:
+        idx = np.concatenate(np.nonzero(mask) + ([mask.size],))
+        ret += (np.diff(idx),)
+    return ret
+
+
+# Array API set functions
+
+class UniqueAllResult(NamedTuple):
+    values: np.ndarray
+    indices: np.ndarray
+    inverse_indices: np.ndarray
+    counts: np.ndarray
+
+
+class UniqueCountsResult(NamedTuple):
+    values: np.ndarray
+    counts: np.ndarray
+
+
+class UniqueInverseResult(NamedTuple):
+    values: np.ndarray
+    inverse_indices: np.ndarray
+
+
+def _unique_all_dispatcher(x, /):
+    return (x,)
+
+
+@array_function_dispatch(_unique_all_dispatcher)
+def unique_all(x):
+    """
+    Find the unique elements of an array, and counts, inverse, and indices.
+
+    This function is an Array API compatible alternative to::
+
+        np.unique(x, return_index=True, return_inverse=True,
+                  return_counts=True, equal_nan=False)
+
+    but returns a namedtuple for easier access to each output.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array. It will be flattened if it is not already 1-D.
+
+    Returns
+    -------
+    out : namedtuple
+        The result containing:
+
+        * values - The unique elements of an input array.
+        * indices - The first occurring indices for each unique element.
+        * inverse_indices - The indices from the set of unique elements
+          that reconstruct `x`.
+        * counts - The corresponding counts for each unique element.
+
+    See Also
+    --------
+    unique : Find the unique elements of an array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = [1, 1, 2]
+    >>> uniq = np.unique_all(x)
+    >>> uniq.values
+    array([1, 2])
+    >>> uniq.indices
+    array([0, 2])
+    >>> uniq.inverse_indices
+    array([0, 0, 1])
+    >>> uniq.counts
+    array([2, 1])
+    """
+    result = unique(
+        x,
+        return_index=True,
+        return_inverse=True,
+        return_counts=True,
+        equal_nan=False
+    )
+    return UniqueAllResult(*result)
+
+
+def _unique_counts_dispatcher(x, /):
+    return (x,)
+
+
+@array_function_dispatch(_unique_counts_dispatcher)
+def unique_counts(x):
+    """
+    Find the unique elements and counts of an input array `x`.
+
+    This function is an Array API compatible alternative to::
+
+        np.unique(x, return_counts=True, equal_nan=False)
+
+    but returns a namedtuple for easier access to each output.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array. It will be flattened if it is not already 1-D.
+
+    Returns
+    -------
+    out : namedtuple
+        The result containing:
+
+        * values - The unique elements of an input array.
+        * counts - The corresponding counts for each unique element.
+
+    See Also
+    --------
+    unique : Find the unique elements of an array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = [1, 1, 2]
+    >>> uniq = np.unique_counts(x)
+    >>> uniq.values
+    array([1, 2])
+    >>> uniq.counts
+    array([2, 1])
+    """
+    result = unique(
+        x,
+        return_index=False,
+        return_inverse=False,
+        return_counts=True,
+        equal_nan=False
+    )
+    return UniqueCountsResult(*result)
+
+
+def _unique_inverse_dispatcher(x, /):
+    return (x,)
+
+
+@array_function_dispatch(_unique_inverse_dispatcher)
+def unique_inverse(x):
+    """
+    Find the unique elements of `x` and indices to reconstruct `x`.
+
+    This function is an Array API compatible alternative to::
+
+        np.unique(x, return_inverse=True, equal_nan=False)
+
+    but returns a namedtuple for easier access to each output.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array. It will be flattened if it is not already 1-D.
+
+    Returns
+    -------
+    out : namedtuple
+        The result containing:
+
+        * values - The unique elements of an input array.
+        * inverse_indices - The indices from the set of unique elements
+          that reconstruct `x`.
+
+    See Also
+    --------
+    unique : Find the unique elements of an array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = [1, 1, 2]
+    >>> uniq = np.unique_inverse(x)
+    >>> uniq.values
+    array([1, 2])
+    >>> uniq.inverse_indices
+    array([0, 0, 1])
+    """
+    result = unique(
+        x,
+        return_index=False,
+        return_inverse=True,
+        return_counts=False,
+        equal_nan=False
+    )
+    return UniqueInverseResult(*result)
+
+
+def _unique_values_dispatcher(x, /):
+    return (x,)
+
+
+@array_function_dispatch(_unique_values_dispatcher)
+def unique_values(x):
+    """
+    Returns the unique elements of an input array `x`.
+
+    This function is an Array API compatible alternative to::
+
+        np.unique(x, equal_nan=False)
+
+    Parameters
+    ----------
+    x : array_like
+        Input array. It will be flattened if it is not already 1-D.
+
+    Returns
+    -------
+    out : ndarray
+        The unique elements of an input array.
+
+    See Also
+    --------
+    unique : Find the unique elements of an array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.unique_values([1, 1, 2])
+    array([1, 2])
+
+    """
+    return unique(
+        x,
+        return_index=False,
+        return_inverse=False,
+        return_counts=False,
+        equal_nan=False
+    )
+
+
+def _intersect1d_dispatcher(
+        ar1, ar2, assume_unique=None, return_indices=None):
+    return (ar1, ar2)
+
+
+@array_function_dispatch(_intersect1d_dispatcher)
+def intersect1d(ar1, ar2, assume_unique=False, return_indices=False):
+    """
+    Find the intersection of two arrays.
+
+    Return the sorted, unique values that are in both of the input arrays.
+
+    Parameters
+    ----------
+    ar1, ar2 : array_like
+        Input arrays. Will be flattened if not already 1D.
+    assume_unique : bool
+        If True, the input arrays are both assumed to be unique, which
+        can speed up the calculation.  If True but ``ar1`` or ``ar2`` are not
+        unique, incorrect results and out-of-bounds indices could result.
+        Default is False.
+    return_indices : bool
+        If True, the indices which correspond to the intersection of the two
+        arrays are returned. The first instance of a value is used if there are
+        multiple. Default is False.
+
+    Returns
+    -------
+    intersect1d : ndarray
+        Sorted 1D array of common and unique elements.
+    comm1 : ndarray
+        The indices of the first occurrences of the common values in `ar1`.
+        Only provided if `return_indices` is True.
+    comm2 : ndarray
+        The indices of the first occurrences of the common values in `ar2`.
+        Only provided if `return_indices` is True.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.intersect1d([1, 3, 4, 3], [3, 1, 2, 1])
+    array([1, 3])
+
+    To intersect more than two arrays, use functools.reduce:
+
+    >>> from functools import reduce
+    >>> reduce(np.intersect1d, ([1, 3, 4, 3], [3, 1, 2, 1], [6, 3, 4, 2]))
+    array([3])
+
+    To return the indices of the values common to the input arrays
+    along with the intersected values:
+
+    >>> x = np.array([1, 1, 2, 3, 4])
+    >>> y = np.array([2, 1, 4, 6])
+    >>> xy, x_ind, y_ind = np.intersect1d(x, y, return_indices=True)
+    >>> x_ind, y_ind
+    (array([0, 2, 4]), array([1, 0, 2]))
+    >>> xy, x[x_ind], y[y_ind]
+    (array([1, 2, 4]), array([1, 2, 4]), array([1, 2, 4]))
+
+    """
+    ar1 = np.asanyarray(ar1)
+    ar2 = np.asanyarray(ar2)
+
+    if not assume_unique:
+        if return_indices:
+            ar1, ind1 = unique(ar1, return_index=True)
+            ar2, ind2 = unique(ar2, return_index=True)
+        else:
+            ar1 = unique(ar1)
+            ar2 = unique(ar2)
+    else:
+        ar1 = ar1.ravel()
+        ar2 = ar2.ravel()
+
+    aux = np.concatenate((ar1, ar2))
+    if return_indices:
+        aux_sort_indices = np.argsort(aux, kind='mergesort')
+        aux = aux[aux_sort_indices]
+    else:
+        aux.sort()
+
+    mask = aux[1:] == aux[:-1]
+    int1d = aux[:-1][mask]
+
+    if return_indices:
+        ar1_indices = aux_sort_indices[:-1][mask]
+        ar2_indices = aux_sort_indices[1:][mask] - ar1.size
+        if not assume_unique:
+            ar1_indices = ind1[ar1_indices]
+            ar2_indices = ind2[ar2_indices]
+
+        return int1d, ar1_indices, ar2_indices
+    else:
+        return int1d
+
+
+def _setxor1d_dispatcher(ar1, ar2, assume_unique=None):
+    return (ar1, ar2)
+
+
+@array_function_dispatch(_setxor1d_dispatcher)
+def setxor1d(ar1, ar2, assume_unique=False):
+    """
+    Find the set exclusive-or of two arrays.
+
+    Return the sorted, unique values that are in only one (not both) of the
+    input arrays.
+
+    Parameters
+    ----------
+    ar1, ar2 : array_like
+        Input arrays.
+    assume_unique : bool
+        If True, the input arrays are both assumed to be unique, which
+        can speed up the calculation. Default is False.
+
+    Returns
+    -------
+    setxor1d : ndarray
+        Sorted 1D array of unique values that are in only one of the input
+        arrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([1, 2, 3, 2, 4])
+    >>> b = np.array([2, 3, 5, 7, 5])
+    >>> np.setxor1d(a,b)
+    array([1, 4, 5, 7])
+
+    """
+    if not assume_unique:
+        ar1 = unique(ar1)
+        ar2 = unique(ar2)
+
+    aux = np.concatenate((ar1, ar2), axis=None)
+    if aux.size == 0:
+        return aux
+
+    aux.sort()
+    flag = np.concatenate(([True], aux[1:] != aux[:-1], [True]))
+    return aux[flag[1:] & flag[:-1]]
+
+
+def _in1d_dispatcher(ar1, ar2, assume_unique=None, invert=None, *,
+                     kind=None):
+    return (ar1, ar2)
+
+
+@array_function_dispatch(_in1d_dispatcher)
+def in1d(ar1, ar2, assume_unique=False, invert=False, *, kind=None):
+    """
+    Test whether each element of a 1-D array is also present in a second array.
+
+    .. deprecated:: 2.0
+        Use :func:`isin` instead of `in1d` for new code.
+
+    Returns a boolean array the same length as `ar1` that is True
+    where an element of `ar1` is in `ar2` and False otherwise.
+
+    Parameters
+    ----------
+    ar1 : (M,) array_like
+        Input array.
+    ar2 : array_like
+        The values against which to test each value of `ar1`.
+    assume_unique : bool, optional
+        If True, the input arrays are both assumed to be unique, which
+        can speed up the calculation.  Default is False.
+    invert : bool, optional
+        If True, the values in the returned array are inverted (that is,
+        False where an element of `ar1` is in `ar2` and True otherwise).
+        Default is False. ``np.in1d(a, b, invert=True)`` is equivalent
+        to (but is faster than) ``np.invert(in1d(a, b))``.
+    kind : {None, 'sort', 'table'}, optional
+        The algorithm to use. This will not affect the final result,
+        but will affect the speed and memory use. The default, None,
+        will select automatically based on memory considerations.
+
+        * If 'sort', will use a mergesort-based approach. This will have
+          a memory usage of roughly 6 times the sum of the sizes of
+          `ar1` and `ar2`, not accounting for size of dtypes.
+        * If 'table', will use a lookup table approach similar
+          to a counting sort. This is only available for boolean and
+          integer arrays. This will have a memory usage of the
+          size of `ar1` plus the max-min value of `ar2`. `assume_unique`
+          has no effect when the 'table' option is used.
+        * If None, will automatically choose 'table' if
+          the required memory allocation is less than or equal to
+          6 times the sum of the sizes of `ar1` and `ar2`,
+          otherwise will use 'sort'. This is done to not use
+          a large amount of memory by default, even though
+          'table' may be faster in most cases. If 'table' is chosen,
+          `assume_unique` will have no effect.
+
+    Returns
+    -------
+    in1d : (M,) ndarray, bool
+        The values `ar1[in1d]` are in `ar2`.
+
+    See Also
+    --------
+    isin                  : Version of this function that preserves the
+                            shape of ar1.
+
+    Notes
+    -----
+    `in1d` can be considered as an element-wise function version of the
+    python keyword `in`, for 1-D sequences. ``in1d(a, b)`` is roughly
+    equivalent to ``np.array([item in b for item in a])``.
+    However, this idea fails if `ar2` is a set, or similar (non-sequence)
+    container:  As ``ar2`` is converted to an array, in those cases
+    ``asarray(ar2)`` is an object array rather than the expected array of
+    contained values.
+
+    Using ``kind='table'`` tends to be faster than `kind='sort'` if the
+    following relationship is true:
+    ``log10(len(ar2)) > (log10(max(ar2)-min(ar2)) - 2.27) / 0.927``,
+    but may use greater memory. The default value for `kind` will
+    be automatically selected based only on memory usage, so one may
+    manually set ``kind='table'`` if memory constraints can be relaxed.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> test = np.array([0, 1, 2, 5, 0])
+    >>> states = [0, 2]
+    >>> mask = np.in1d(test, states)
+    >>> mask
+    array([ True, False,  True, False,  True])
+    >>> test[mask]
+    array([0, 2, 0])
+    >>> mask = np.in1d(test, states, invert=True)
+    >>> mask
+    array([False,  True, False,  True, False])
+    >>> test[mask]
+    array([1, 5])
+    """
+
+    # Deprecated in NumPy 2.0, 2023-08-18
+    warnings.warn(
+        "`in1d` is deprecated. Use `np.isin` instead.",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    return _in1d(ar1, ar2, assume_unique, invert, kind=kind)
+
+
+def _in1d(ar1, ar2, assume_unique=False, invert=False, *, kind=None):
+    # Ravel both arrays, behavior for the first array could be different
+    ar1 = np.asarray(ar1).ravel()
+    ar2 = np.asarray(ar2).ravel()
+
+    # Ensure that iteration through object arrays yields size-1 arrays
+    if ar2.dtype == object:
+        ar2 = ar2.reshape(-1, 1)
+
+    if kind not in {None, 'sort', 'table'}:
+        raise ValueError(
+            f"Invalid kind: '{kind}'. Please use None, 'sort' or 'table'.")
+
+    # Can use the table method if all arrays are integers or boolean:
+    is_int_arrays = all(ar.dtype.kind in ("u", "i", "b") for ar in (ar1, ar2))
+    use_table_method = is_int_arrays and kind in {None, 'table'}
+
+    if use_table_method:
+        if ar2.size == 0:
+            if invert:
+                return np.ones_like(ar1, dtype=bool)
+            else:
+                return np.zeros_like(ar1, dtype=bool)
+
+        # Convert booleans to uint8 so we can use the fast integer algorithm
+        if ar1.dtype == bool:
+            ar1 = ar1.astype(np.uint8)
+        if ar2.dtype == bool:
+            ar2 = ar2.astype(np.uint8)
+
+        ar2_min = int(np.min(ar2))
+        ar2_max = int(np.max(ar2))
+
+        ar2_range = ar2_max - ar2_min
+
+        # Constraints on whether we can actually use the table method:
+        #  1. Assert memory usage is not too large
+        below_memory_constraint = ar2_range <= 6 * (ar1.size + ar2.size)
+        #  2. Check overflows for (ar2 - ar2_min); dtype=ar2.dtype
+        range_safe_from_overflow = ar2_range <= np.iinfo(ar2.dtype).max
+
+        # Optimal performance is for approximately
+        # log10(size) > (log10(range) - 2.27) / 0.927.
+        # However, here we set the requirement that by default
+        # the intermediate array can only be 6x
+        # the combined memory allocation of the original
+        # arrays. See discussion on
+        # https://github.com/numpy/numpy/pull/12065.
+
+        if (
+            range_safe_from_overflow and
+            (below_memory_constraint or kind == 'table')
+        ):
+
+            if invert:
+                outgoing_array = np.ones_like(ar1, dtype=bool)
+            else:
+                outgoing_array = np.zeros_like(ar1, dtype=bool)
+
+            # Make elements 1 where the integer exists in ar2
+            if invert:
+                isin_helper_ar = np.ones(ar2_range + 1, dtype=bool)
+                isin_helper_ar[ar2 - ar2_min] = 0
+            else:
+                isin_helper_ar = np.zeros(ar2_range + 1, dtype=bool)
+                isin_helper_ar[ar2 - ar2_min] = 1
+
+            # Mask out elements we know won't work
+            basic_mask = (ar1 <= ar2_max) & (ar1 >= ar2_min)
+            in_range_ar1 = ar1[basic_mask]
+            if in_range_ar1.size == 0:
+                # Nothing more to do, since all values are out of range.
+                return outgoing_array
+
+            # Unfortunately, ar2_min can be out of range for `intp` even
+            # if the calculation result must fit in range (and be positive).
+            # In that case, use ar2.dtype which must work for all unmasked
+            # values.
+            try:
+                ar2_min = np.array(ar2_min, dtype=np.intp)
+                dtype = np.intp
+            except OverflowError:
+                dtype = ar2.dtype
+
+            out = np.empty_like(in_range_ar1, dtype=np.intp)
+            outgoing_array[basic_mask] = isin_helper_ar[
+                    np.subtract(in_range_ar1, ar2_min, dtype=dtype,
+                                out=out, casting="unsafe")]
+
+            return outgoing_array
+        elif kind == 'table':  # not range_safe_from_overflow
+            raise RuntimeError(
+                "You have specified kind='table', "
+                "but the range of values in `ar2` or `ar1` exceed the "
+                "maximum integer of the datatype. "
+                "Please set `kind` to None or 'sort'."
+            )
+    elif kind == 'table':
+        raise ValueError(
+            "The 'table' method is only "
+            "supported for boolean or integer arrays. "
+            "Please select 'sort' or None for kind."
+        )
+
+
+    # Check if one of the arrays may contain arbitrary objects
+    contains_object = ar1.dtype.hasobject or ar2.dtype.hasobject
+
+    # This code is run when
+    # a) the first condition is true, making the code significantly faster
+    # b) the second condition is true (i.e. `ar1` or `ar2` may contain
+    #    arbitrary objects), since then sorting is not guaranteed to work
+    if len(ar2) < 10 * len(ar1) ** 0.145 or contains_object:
+        if invert:
+            mask = np.ones(len(ar1), dtype=bool)
+            for a in ar2:
+                mask &= (ar1 != a)
+        else:
+            mask = np.zeros(len(ar1), dtype=bool)
+            for a in ar2:
+                mask |= (ar1 == a)
+        return mask
+
+    # Otherwise use sorting
+    if not assume_unique:
+        ar1, rev_idx = np.unique(ar1, return_inverse=True)
+        ar2 = np.unique(ar2)
+
+    ar = np.concatenate((ar1, ar2))
+    # We need this to be a stable sort, so always use 'mergesort'
+    # here. The values from the first array should always come before
+    # the values from the second array.
+    order = ar.argsort(kind='mergesort')
+    sar = ar[order]
+    if invert:
+        bool_ar = (sar[1:] != sar[:-1])
+    else:
+        bool_ar = (sar[1:] == sar[:-1])
+    flag = np.concatenate((bool_ar, [invert]))
+    ret = np.empty(ar.shape, dtype=bool)
+    ret[order] = flag
+
+    if assume_unique:
+        return ret[:len(ar1)]
+    else:
+        return ret[rev_idx]
+
+
+def _isin_dispatcher(element, test_elements, assume_unique=None, invert=None,
+                     *, kind=None):
+    return (element, test_elements)
+
+
+@array_function_dispatch(_isin_dispatcher)
+def isin(element, test_elements, assume_unique=False, invert=False, *,
+         kind=None):
+    """
+    Calculates ``element in test_elements``, broadcasting over `element` only.
+    Returns a boolean array of the same shape as `element` that is True
+    where an element of `element` is in `test_elements` and False otherwise.
+
+    Parameters
+    ----------
+    element : array_like
+        Input array.
+    test_elements : array_like
+        The values against which to test each value of `element`.
+        This argument is flattened if it is an array or array_like.
+        See notes for behavior with non-array-like parameters.
+    assume_unique : bool, optional
+        If True, the input arrays are both assumed to be unique, which
+        can speed up the calculation.  Default is False.
+    invert : bool, optional
+        If True, the values in the returned array are inverted, as if
+        calculating `element not in test_elements`. Default is False.
+        ``np.isin(a, b, invert=True)`` is equivalent to (but faster
+        than) ``np.invert(np.isin(a, b))``.
+    kind : {None, 'sort', 'table'}, optional
+        The algorithm to use. This will not affect the final result,
+        but will affect the speed and memory use. The default, None,
+        will select automatically based on memory considerations.
+
+        * If 'sort', will use a mergesort-based approach. This will have
+          a memory usage of roughly 6 times the sum of the sizes of
+          `element` and `test_elements`, not accounting for size of dtypes.
+        * If 'table', will use a lookup table approach similar
+          to a counting sort. This is only available for boolean and
+          integer arrays. This will have a memory usage of the
+          size of `element` plus the max-min value of `test_elements`.
+          `assume_unique` has no effect when the 'table' option is used.
+        * If None, will automatically choose 'table' if
+          the required memory allocation is less than or equal to
+          6 times the sum of the sizes of `element` and `test_elements`,
+          otherwise will use 'sort'. This is done to not use
+          a large amount of memory by default, even though
+          'table' may be faster in most cases. If 'table' is chosen,
+          `assume_unique` will have no effect.
+
+
+    Returns
+    -------
+    isin : ndarray, bool
+        Has the same shape as `element`. The values `element[isin]`
+        are in `test_elements`.
+
+    Notes
+    -----
+    `isin` is an element-wise function version of the python keyword `in`.
+    ``isin(a, b)`` is roughly equivalent to
+    ``np.array([item in b for item in a])`` if `a` and `b` are 1-D sequences.
+
+    `element` and `test_elements` are converted to arrays if they are not
+    already. If `test_elements` is a set (or other non-sequence collection)
+    it will be converted to an object array with one element, rather than an
+    array of the values contained in `test_elements`. This is a consequence
+    of the `array` constructor's way of handling non-sequence collections.
+    Converting the set to a list usually gives the desired behavior.
+
+    Using ``kind='table'`` tends to be faster than `kind='sort'` if the
+    following relationship is true:
+    ``log10(len(test_elements)) >
+    (log10(max(test_elements)-min(test_elements)) - 2.27) / 0.927``,
+    but may use greater memory. The default value for `kind` will
+    be automatically selected based only on memory usage, so one may
+    manually set ``kind='table'`` if memory constraints can be relaxed.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> element = 2*np.arange(4).reshape((2, 2))
+    >>> element
+    array([[0, 2],
+           [4, 6]])
+    >>> test_elements = [1, 2, 4, 8]
+    >>> mask = np.isin(element, test_elements)
+    >>> mask
+    array([[False,  True],
+           [ True, False]])
+    >>> element[mask]
+    array([2, 4])
+
+    The indices of the matched values can be obtained with `nonzero`:
+
+    >>> np.nonzero(mask)
+    (array([0, 1]), array([1, 0]))
+
+    The test can also be inverted:
+
+    >>> mask = np.isin(element, test_elements, invert=True)
+    >>> mask
+    array([[ True, False],
+           [False,  True]])
+    >>> element[mask]
+    array([0, 6])
+
+    Because of how `array` handles sets, the following does not
+    work as expected:
+
+    >>> test_set = {1, 2, 4, 8}
+    >>> np.isin(element, test_set)
+    array([[False, False],
+           [False, False]])
+
+    Casting the set to a list gives the expected result:
+
+    >>> np.isin(element, list(test_set))
+    array([[False,  True],
+           [ True, False]])
+    """
+    element = np.asarray(element)
+    return _in1d(element, test_elements, assume_unique=assume_unique,
+                 invert=invert, kind=kind).reshape(element.shape)
+
+
+def _union1d_dispatcher(ar1, ar2):
+    return (ar1, ar2)
+
+
+@array_function_dispatch(_union1d_dispatcher)
+def union1d(ar1, ar2):
+    """
+    Find the union of two arrays.
+
+    Return the unique, sorted array of values that are in either of the two
+    input arrays.
+
+    Parameters
+    ----------
+    ar1, ar2 : array_like
+        Input arrays. They are flattened if they are not already 1D.
+
+    Returns
+    -------
+    union1d : ndarray
+        Unique, sorted union of the input arrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.union1d([-1, 0, 1], [-2, 0, 2])
+    array([-2, -1,  0,  1,  2])
+
+    To find the union of more than two arrays, use functools.reduce:
+
+    >>> from functools import reduce
+    >>> reduce(np.union1d, ([1, 3, 4, 3], [3, 1, 2, 1], [6, 3, 4, 2]))
+    array([1, 2, 3, 4, 6])
+    """
+    return unique(np.concatenate((ar1, ar2), axis=None))
+
+
+def _setdiff1d_dispatcher(ar1, ar2, assume_unique=None):
+    return (ar1, ar2)
+
+
+@array_function_dispatch(_setdiff1d_dispatcher)
+def setdiff1d(ar1, ar2, assume_unique=False):
+    """
+    Find the set difference of two arrays.
+
+    Return the unique values in `ar1` that are not in `ar2`.
+
+    Parameters
+    ----------
+    ar1 : array_like
+        Input array.
+    ar2 : array_like
+        Input comparison array.
+    assume_unique : bool
+        If True, the input arrays are both assumed to be unique, which
+        can speed up the calculation.  Default is False.
+
+    Returns
+    -------
+    setdiff1d : ndarray
+        1D array of values in `ar1` that are not in `ar2`. The result
+        is sorted when `assume_unique=False`, but otherwise only sorted
+        if the input is sorted.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([1, 2, 3, 2, 4, 1])
+    >>> b = np.array([3, 4, 5, 6])
+    >>> np.setdiff1d(a, b)
+    array([1, 2])
+
+    """
+    if assume_unique:
+        ar1 = np.asarray(ar1).ravel()
+    else:
+        ar1 = unique(ar1)
+        ar2 = unique(ar2)
+    return ar1[_in1d(ar1, ar2, assume_unique=True, invert=True)]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraysetops_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraysetops_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..20f2d576bf00b8627a001c81933356746952d258
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arraysetops_impl.pyi
@@ -0,0 +1,379 @@
+from typing import (
+    Any,
+    Generic,
+    Literal as L,
+    NamedTuple,
+    overload,
+    SupportsIndex,
+    TypeVar,
+)
+from typing_extensions import deprecated
+
+import numpy as np
+from numpy import generic, number, int8, intp, timedelta64, object_
+
+from numpy._typing import (
+    ArrayLike,
+    NDArray,
+    _ArrayLike,
+    _ArrayLikeBool_co,
+    _ArrayLikeDT64_co,
+    _ArrayLikeTD64_co,
+    _ArrayLikeObject_co,
+    _ArrayLikeNumber_co,
+)
+
+__all__ = [
+    "ediff1d",
+    "in1d",
+    "intersect1d",
+    "isin",
+    "setdiff1d",
+    "setxor1d",
+    "union1d",
+    "unique",
+    "unique_all",
+    "unique_counts",
+    "unique_inverse",
+    "unique_values",
+]
+
+_SCT = TypeVar("_SCT", bound=generic)
+_NumberType = TypeVar("_NumberType", bound=number[Any])
+
+# Explicitly set all allowed values to prevent accidental castings to
+# abstract dtypes (their common super-type).
+#
+# Only relevant if two or more arguments are parametrized, (e.g. `setdiff1d`)
+# which could result in, for example, `int64` and `float64`producing a
+# `number[_64Bit]` array
+_EitherSCT = TypeVar(
+    "_EitherSCT",
+    np.bool,
+    np.int8, np.int16, np.int32, np.int64, np.intp,
+    np.uint8, np.uint16, np.uint32, np.uint64, np.uintp,
+    np.float16, np.float32, np.float64, np.longdouble,
+    np.complex64, np.complex128, np.clongdouble,
+    np.timedelta64, np.datetime64,
+    np.bytes_, np.str_, np.void, np.object_,
+    np.integer, np.floating, np.complexfloating, np.character,
+)  # fmt: skip
+
+class UniqueAllResult(NamedTuple, Generic[_SCT]):
+    values: NDArray[_SCT]
+    indices: NDArray[intp]
+    inverse_indices: NDArray[intp]
+    counts: NDArray[intp]
+
+class UniqueCountsResult(NamedTuple, Generic[_SCT]):
+    values: NDArray[_SCT]
+    counts: NDArray[intp]
+
+class UniqueInverseResult(NamedTuple, Generic[_SCT]):
+    values: NDArray[_SCT]
+    inverse_indices: NDArray[intp]
+
+@overload
+def ediff1d(
+    ary: _ArrayLikeBool_co,
+    to_end: None | ArrayLike = ...,
+    to_begin: None | ArrayLike = ...,
+) -> NDArray[int8]: ...
+@overload
+def ediff1d(
+    ary: _ArrayLike[_NumberType],
+    to_end: None | ArrayLike = ...,
+    to_begin: None | ArrayLike = ...,
+) -> NDArray[_NumberType]: ...
+@overload
+def ediff1d(
+    ary: _ArrayLikeNumber_co,
+    to_end: None | ArrayLike = ...,
+    to_begin: None | ArrayLike = ...,
+) -> NDArray[Any]: ...
+@overload
+def ediff1d(
+    ary: _ArrayLikeDT64_co | _ArrayLikeTD64_co,
+    to_end: None | ArrayLike = ...,
+    to_begin: None | ArrayLike = ...,
+) -> NDArray[timedelta64]: ...
+@overload
+def ediff1d(
+    ary: _ArrayLikeObject_co,
+    to_end: None | ArrayLike = ...,
+    to_begin: None | ArrayLike = ...,
+) -> NDArray[object_]: ...
+
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[False] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[False] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> NDArray[Any]: ...
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[True] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[_SCT], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[True] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[Any], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[False] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[_SCT], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[False] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[Any], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[False] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[_SCT], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[False] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[Any], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[True] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[True] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[False] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[True] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[True] = ...,
+    return_inverse: L[False] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[False] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[False] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: _ArrayLike[_SCT],
+    return_index: L[True] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp], NDArray[intp]]: ...
+@overload
+def unique(
+    ar: ArrayLike,
+    return_index: L[True] = ...,
+    return_inverse: L[True] = ...,
+    return_counts: L[True] = ...,
+    axis: None | SupportsIndex = ...,
+    *,
+    equal_nan: bool = ...,
+) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp], NDArray[intp]]: ...
+
+@overload
+def unique_all(
+    x: _ArrayLike[_SCT], /
+) -> UniqueAllResult[_SCT]: ...
+@overload
+def unique_all(
+    x: ArrayLike, /
+) -> UniqueAllResult[Any]: ...
+
+@overload
+def unique_counts(
+    x: _ArrayLike[_SCT], /
+) -> UniqueCountsResult[_SCT]: ...
+@overload
+def unique_counts(
+    x: ArrayLike, /
+) -> UniqueCountsResult[Any]: ...
+
+@overload
+def unique_inverse(x: _ArrayLike[_SCT], /) -> UniqueInverseResult[_SCT]: ...
+@overload
+def unique_inverse(x: ArrayLike, /) -> UniqueInverseResult[Any]: ...
+
+@overload
+def unique_values(x: _ArrayLike[_SCT], /) -> NDArray[_SCT]: ...
+@overload
+def unique_values(x: ArrayLike, /) -> NDArray[Any]: ...
+
+@overload
+def intersect1d(
+    ar1: _ArrayLike[_EitherSCT],
+    ar2: _ArrayLike[_EitherSCT],
+    assume_unique: bool = ...,
+    return_indices: L[False] = ...,
+) -> NDArray[_EitherSCT]: ...
+@overload
+def intersect1d(
+    ar1: ArrayLike,
+    ar2: ArrayLike,
+    assume_unique: bool = ...,
+    return_indices: L[False] = ...,
+) -> NDArray[Any]: ...
+@overload
+def intersect1d(
+    ar1: _ArrayLike[_EitherSCT],
+    ar2: _ArrayLike[_EitherSCT],
+    assume_unique: bool = ...,
+    return_indices: L[True] = ...,
+) -> tuple[NDArray[_EitherSCT], NDArray[intp], NDArray[intp]]: ...
+@overload
+def intersect1d(
+    ar1: ArrayLike,
+    ar2: ArrayLike,
+    assume_unique: bool = ...,
+    return_indices: L[True] = ...,
+) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
+
+@overload
+def setxor1d(
+    ar1: _ArrayLike[_EitherSCT],
+    ar2: _ArrayLike[_EitherSCT],
+    assume_unique: bool = ...,
+) -> NDArray[_EitherSCT]: ...
+@overload
+def setxor1d(
+    ar1: ArrayLike,
+    ar2: ArrayLike,
+    assume_unique: bool = ...,
+) -> NDArray[Any]: ...
+
+def isin(
+    element: ArrayLike,
+    test_elements: ArrayLike,
+    assume_unique: bool = ...,
+    invert: bool = ...,
+    *,
+    kind: None | str = ...,
+) -> NDArray[np.bool]: ...
+
+@deprecated("Use 'isin' instead")
+def in1d(
+    element: ArrayLike,
+    test_elements: ArrayLike,
+    assume_unique: bool = ...,
+    invert: bool = ...,
+    *,
+    kind: None | str = ...,
+) -> NDArray[np.bool]: ...
+
+@overload
+def union1d(
+    ar1: _ArrayLike[_EitherSCT],
+    ar2: _ArrayLike[_EitherSCT],
+) -> NDArray[_EitherSCT]: ...
+@overload
+def union1d(
+    ar1: ArrayLike,
+    ar2: ArrayLike,
+) -> NDArray[Any]: ...
+
+@overload
+def setdiff1d(
+    ar1: _ArrayLike[_EitherSCT],
+    ar2: _ArrayLike[_EitherSCT],
+    assume_unique: bool = ...,
+) -> NDArray[_EitherSCT]: ...
+@overload
+def setdiff1d(
+    ar1: ArrayLike,
+    ar2: ArrayLike,
+    assume_unique: bool = ...,
+) -> NDArray[Any]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arrayterator_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arrayterator_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..efc529de5cff5c051e5df5b5847a4317d60d75cb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arrayterator_impl.py
@@ -0,0 +1,224 @@
+"""
+A buffered iterator for big arrays.
+
+This module solves the problem of iterating over a big file-based array
+without having to read it into memory. The `Arrayterator` class wraps
+an array object, and when iterated it will return sub-arrays with at most
+a user-specified number of elements.
+
+"""
+from operator import mul
+from functools import reduce
+
+__all__ = ['Arrayterator']
+
+
+class Arrayterator:
+    """
+    Buffered iterator for big arrays.
+
+    `Arrayterator` creates a buffered iterator for reading big arrays in small
+    contiguous blocks. The class is useful for objects stored in the
+    file system. It allows iteration over the object *without* reading
+    everything in memory; instead, small blocks are read and iterated over.
+
+    `Arrayterator` can be used with any object that supports multidimensional
+    slices. This includes NumPy arrays, but also variables from
+    Scientific.IO.NetCDF or pynetcdf for example.
+
+    Parameters
+    ----------
+    var : array_like
+        The object to iterate over.
+    buf_size : int, optional
+        The buffer size. If `buf_size` is supplied, the maximum amount of
+        data that will be read into memory is `buf_size` elements.
+        Default is None, which will read as many element as possible
+        into memory.
+
+    Attributes
+    ----------
+    var
+    buf_size
+    start
+    stop
+    step
+    shape
+    flat
+
+    See Also
+    --------
+    numpy.ndenumerate : Multidimensional array iterator.
+    numpy.flatiter : Flat array iterator.
+    numpy.memmap : Create a memory-map to an array stored
+                   in a binary file on disk.
+
+    Notes
+    -----
+    The algorithm works by first finding a "running dimension", along which
+    the blocks will be extracted. Given an array of dimensions
+    ``(d1, d2, ..., dn)``, e.g. if `buf_size` is smaller than ``d1``, the
+    first dimension will be used. If, on the other hand,
+    ``d1 < buf_size < d1*d2`` the second dimension will be used, and so on.
+    Blocks are extracted along this dimension, and when the last block is
+    returned the process continues from the next dimension, until all
+    elements have been read.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6)
+    >>> a_itor = np.lib.Arrayterator(a, 2)
+    >>> a_itor.shape
+    (3, 4, 5, 6)
+
+    Now we can iterate over ``a_itor``, and it will return arrays of size
+    two. Since `buf_size` was smaller than any dimension, the first
+    dimension will be iterated over first:
+
+    >>> for subarr in a_itor:
+    ...     if not subarr.all():
+    ...         print(subarr, subarr.shape) # doctest: +SKIP
+    >>> # [[[[0 1]]]] (1, 1, 1, 2)
+
+    """
+
+    __module__ = "numpy.lib"
+
+    def __init__(self, var, buf_size=None):
+        self.var = var
+        self.buf_size = buf_size
+
+        self.start = [0 for dim in var.shape]
+        self.stop = list(var.shape)
+        self.step = [1 for dim in var.shape]
+
+    def __getattr__(self, attr):
+        return getattr(self.var, attr)
+
+    def __getitem__(self, index):
+        """
+        Return a new arrayterator.
+
+        """
+        # Fix index, handling ellipsis and incomplete slices.
+        if not isinstance(index, tuple):
+            index = (index,)
+        fixed = []
+        length, dims = len(index), self.ndim
+        for slice_ in index:
+            if slice_ is Ellipsis:
+                fixed.extend([slice(None)] * (dims-length+1))
+                length = len(fixed)
+            elif isinstance(slice_, int):
+                fixed.append(slice(slice_, slice_+1, 1))
+            else:
+                fixed.append(slice_)
+        index = tuple(fixed)
+        if len(index) < dims:
+            index += (slice(None),) * (dims-len(index))
+
+        # Return a new arrayterator object.
+        out = self.__class__(self.var, self.buf_size)
+        for i, (start, stop, step, slice_) in enumerate(
+                zip(self.start, self.stop, self.step, index)):
+            out.start[i] = start + (slice_.start or 0)
+            out.step[i] = step * (slice_.step or 1)
+            out.stop[i] = start + (slice_.stop or stop-start)
+            out.stop[i] = min(stop, out.stop[i])
+        return out
+
+    def __array__(self, dtype=None, copy=None):
+        """
+        Return corresponding data.
+
+        """
+        slice_ = tuple(slice(*t) for t in zip(
+                self.start, self.stop, self.step))
+        return self.var[slice_]
+
+    @property
+    def flat(self):
+        """
+        A 1-D flat iterator for Arrayterator objects.
+
+        This iterator returns elements of the array to be iterated over in
+        `~lib.Arrayterator` one by one.
+        It is similar to `flatiter`.
+
+        See Also
+        --------
+        lib.Arrayterator
+        flatiter
+
+        Examples
+        --------
+        >>> a = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6)
+        >>> a_itor = np.lib.Arrayterator(a, 2)
+
+        >>> for subarr in a_itor.flat:
+        ...     if not subarr:
+        ...         print(subarr, type(subarr))
+        ...
+        0 
+
+        """
+        for block in self:
+            yield from block.flat
+
+    @property
+    def shape(self):
+        """
+        The shape of the array to be iterated over.
+
+        For an example, see `Arrayterator`.
+
+        """
+        return tuple(((stop-start-1)//step+1) for start, stop, step in
+                zip(self.start, self.stop, self.step))
+
+    def __iter__(self):
+        # Skip arrays with degenerate dimensions
+        if [dim for dim in self.shape if dim <= 0]:
+            return
+
+        start = self.start[:]
+        stop = self.stop[:]
+        step = self.step[:]
+        ndims = self.var.ndim
+
+        while True:
+            count = self.buf_size or reduce(mul, self.shape)
+
+            # iterate over each dimension, looking for the
+            # running dimension (ie, the dimension along which
+            # the blocks will be built from)
+            rundim = 0
+            for i in range(ndims-1, -1, -1):
+                # if count is zero we ran out of elements to read
+                # along higher dimensions, so we read only a single position
+                if count == 0:
+                    stop[i] = start[i]+1
+                elif count <= self.shape[i]:
+                    # limit along this dimension
+                    stop[i] = start[i] + count*step[i]
+                    rundim = i
+                else:
+                    # read everything along this dimension
+                    stop[i] = self.stop[i]
+                stop[i] = min(self.stop[i], stop[i])
+                count = count//self.shape[i]
+
+            # yield a block
+            slice_ = tuple(slice(*t) for t in zip(start, stop, step))
+            yield self.var[slice_]
+
+            # Update start position, taking care of overflow to
+            # other dimensions
+            start[rundim] = stop[rundim]  # start where we stopped
+            for i in range(ndims-1, 0, -1):
+                if start[i] >= self.stop[i]:
+                    start[i] = self.start[i]
+                    start[i-1] += self.step[i-1]
+            if start[0] >= self.stop[0]:
+                return
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arrayterator_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arrayterator_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..c24fe56ac8a911c38b6d423a274e10fb0838fb98
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_arrayterator_impl.pyi
@@ -0,0 +1,46 @@
+# pyright: reportIncompatibleMethodOverride=false
+
+from collections.abc import Generator
+from types import EllipsisType
+from typing import Any, Final, TypeAlias, overload
+
+from typing_extensions import TypeVar
+
+import numpy as np
+
+__all__ = ["Arrayterator"]
+
+_ShapeT_co = TypeVar("_ShapeT_co", bound=tuple[int, ...], covariant=True)
+_DTypeT = TypeVar("_DTypeT", bound=np.dtype[Any])
+_DTypeT_co = TypeVar("_DTypeT_co", bound=np.dtype[Any], covariant=True)
+_ScalarT = TypeVar("_ScalarT", bound=np.generic)
+
+_AnyIndex: TypeAlias = EllipsisType | int | slice | tuple[EllipsisType | int | slice, ...]
+
+
+# NOTE: In reality `Arrayterator` does not actually inherit from `ndarray`,
+# but its ``__getattr__` method does wrap around the former and thus has
+# access to all its methods
+
+class Arrayterator(np.ndarray[_ShapeT_co, _DTypeT_co]):
+    var: np.ndarray[_ShapeT_co, _DTypeT_co]  # type: ignore[assignment]
+    buf_size: Final[int | None]
+    start: Final[list[int]]
+    stop: Final[list[int]]
+    step: Final[list[int]]
+
+    @property  # type: ignore[misc]
+    def shape(self) -> _ShapeT_co: ...
+    @property
+    def flat(self: Arrayterator[Any, np.dtype[_ScalarT]]) -> Generator[_ScalarT]: ...  # type: ignore[override]
+
+    #
+    def __init__(self, /, var: np.ndarray[_ShapeT_co, _DTypeT_co], buf_size: int | None = None) -> None: ...
+    def __getitem__(self, index: _AnyIndex, /) -> Arrayterator[tuple[int, ...], _DTypeT_co]: ...  # type: ignore[override]
+    def __iter__(self) -> Generator[np.ndarray[tuple[int, ...], _DTypeT_co]]: ...
+
+    #
+    @overload  # type: ignore[override]
+    def __array__(self, /, dtype: None = None, copy: bool | None = None) -> np.ndarray[_ShapeT_co, _DTypeT_co]: ...
+    @overload
+    def __array__(self, /, dtype: _DTypeT, copy: bool | None = None) -> np.ndarray[_ShapeT_co, _DTypeT]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_datasource.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_datasource.py
new file mode 100644
index 0000000000000000000000000000000000000000..e3d85b8549415c93d3abe33009b22f4f1e6d55fc
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_datasource.py
@@ -0,0 +1,700 @@
+"""A file interface for handling local and remote data files.
+
+The goal of datasource is to abstract some of the file system operations
+when dealing with data files so the researcher doesn't have to know all the
+low-level details.  Through datasource, a researcher can obtain and use a
+file with one function call, regardless of location of the file.
+
+DataSource is meant to augment standard python libraries, not replace them.
+It should work seamlessly with standard file IO operations and the os
+module.
+
+DataSource files can originate locally or remotely:
+
+- local files : '/home/guido/src/local/data.txt'
+- URLs (http, ftp, ...) : 'http://www.scipy.org/not/real/data.txt'
+
+DataSource files can also be compressed or uncompressed.  Currently only
+gzip, bz2 and xz are supported.
+
+Example::
+
+    >>> # Create a DataSource, use os.curdir (default) for local storage.
+    >>> from numpy import DataSource
+    >>> ds = DataSource()
+    >>>
+    >>> # Open a remote file.
+    >>> # DataSource downloads the file, stores it locally in:
+    >>> #     './www.google.com/index.html'
+    >>> # opens the file and returns a file object.
+    >>> fp = ds.open('http://www.google.com/') # doctest: +SKIP
+    >>>
+    >>> # Use the file as you normally would
+    >>> fp.read() # doctest: +SKIP
+    >>> fp.close() # doctest: +SKIP
+
+"""
+import os
+
+from .._utils import set_module
+
+
+_open = open
+
+
+def _check_mode(mode, encoding, newline):
+    """Check mode and that encoding and newline are compatible.
+
+    Parameters
+    ----------
+    mode : str
+        File open mode.
+    encoding : str
+        File encoding.
+    newline : str
+        Newline for text files.
+
+    """
+    if "t" in mode:
+        if "b" in mode:
+            raise ValueError("Invalid mode: %r" % (mode,))
+    else:
+        if encoding is not None:
+            raise ValueError("Argument 'encoding' not supported in binary mode")
+        if newline is not None:
+            raise ValueError("Argument 'newline' not supported in binary mode")
+
+
+# Using a class instead of a module-level dictionary
+# to reduce the initial 'import numpy' overhead by
+# deferring the import of lzma, bz2 and gzip until needed
+
+# TODO: .zip support, .tar support?
+class _FileOpeners:
+    """
+    Container for different methods to open (un-)compressed files.
+
+    `_FileOpeners` contains a dictionary that holds one method for each
+    supported file format. Attribute lookup is implemented in such a way
+    that an instance of `_FileOpeners` itself can be indexed with the keys
+    of that dictionary. Currently uncompressed files as well as files
+    compressed with ``gzip``, ``bz2`` or ``xz`` compression are supported.
+
+    Notes
+    -----
+    `_file_openers`, an instance of `_FileOpeners`, is made available for
+    use in the `_datasource` module.
+
+    Examples
+    --------
+    >>> import gzip
+    >>> np.lib._datasource._file_openers.keys()
+    [None, '.bz2', '.gz', '.xz', '.lzma']
+    >>> np.lib._datasource._file_openers['.gz'] is gzip.open
+    True
+
+    """
+
+    def __init__(self):
+        self._loaded = False
+        self._file_openers = {None: open}
+
+    def _load(self):
+        if self._loaded:
+            return
+
+        try:
+            import bz2
+            self._file_openers[".bz2"] = bz2.open
+        except ImportError:
+            pass
+
+        try:
+            import gzip
+            self._file_openers[".gz"] = gzip.open
+        except ImportError:
+            pass
+
+        try:
+            import lzma
+            self._file_openers[".xz"] = lzma.open
+            self._file_openers[".lzma"] = lzma.open
+        except (ImportError, AttributeError):
+            # There are incompatible backports of lzma that do not have the
+            # lzma.open attribute, so catch that as well as ImportError.
+            pass
+
+        self._loaded = True
+
+    def keys(self):
+        """
+        Return the keys of currently supported file openers.
+
+        Parameters
+        ----------
+        None
+
+        Returns
+        -------
+        keys : list
+            The keys are None for uncompressed files and the file extension
+            strings (i.e. ``'.gz'``, ``'.xz'``) for supported compression
+            methods.
+
+        """
+        self._load()
+        return list(self._file_openers.keys())
+
+    def __getitem__(self, key):
+        self._load()
+        return self._file_openers[key]
+
+_file_openers = _FileOpeners()
+
+def open(path, mode='r', destpath=os.curdir, encoding=None, newline=None):
+    """
+    Open `path` with `mode` and return the file object.
+
+    If ``path`` is an URL, it will be downloaded, stored in the
+    `DataSource` `destpath` directory and opened from there.
+
+    Parameters
+    ----------
+    path : str or pathlib.Path
+        Local file path or URL to open.
+    mode : str, optional
+        Mode to open `path`. Mode 'r' for reading, 'w' for writing, 'a' to
+        append. Available modes depend on the type of object specified by
+        path.  Default is 'r'.
+    destpath : str, optional
+        Path to the directory where the source file gets downloaded to for
+        use.  If `destpath` is None, a temporary directory will be created.
+        The default path is the current directory.
+    encoding : {None, str}, optional
+        Open text file with given encoding. The default encoding will be
+        what `open` uses.
+    newline : {None, str}, optional
+        Newline to use when reading text file.
+
+    Returns
+    -------
+    out : file object
+        The opened file.
+
+    Notes
+    -----
+    This is a convenience function that instantiates a `DataSource` and
+    returns the file object from ``DataSource.open(path)``.
+
+    """
+
+    ds = DataSource(destpath)
+    return ds.open(path, mode, encoding=encoding, newline=newline)
+
+
+@set_module('numpy.lib.npyio')
+class DataSource:
+    """
+    DataSource(destpath='.')
+
+    A generic data source file (file, http, ftp, ...).
+
+    DataSources can be local files or remote files/URLs.  The files may
+    also be compressed or uncompressed. DataSource hides some of the
+    low-level details of downloading the file, allowing you to simply pass
+    in a valid file path (or URL) and obtain a file object.
+
+    Parameters
+    ----------
+    destpath : str or None, optional
+        Path to the directory where the source file gets downloaded to for
+        use.  If `destpath` is None, a temporary directory will be created.
+        The default path is the current directory.
+
+    Notes
+    -----
+    URLs require a scheme string (``http://``) to be used, without it they
+    will fail::
+
+        >>> repos = np.lib.npyio.DataSource()
+        >>> repos.exists('www.google.com/index.html')
+        False
+        >>> repos.exists('http://www.google.com/index.html')
+        True
+
+    Temporary directories are deleted when the DataSource is deleted.
+
+    Examples
+    --------
+    ::
+
+        >>> ds = np.lib.npyio.DataSource('/home/guido')
+        >>> urlname = 'http://www.google.com/'
+        >>> gfile = ds.open('http://www.google.com/')
+        >>> ds.abspath(urlname)
+        '/home/guido/www.google.com/index.html'
+
+        >>> ds = np.lib.npyio.DataSource(None)  # use with temporary file
+        >>> ds.open('/home/guido/foobar.txt')
+        
+        >>> ds.abspath('/home/guido/foobar.txt')
+        '/tmp/.../home/guido/foobar.txt'
+
+    """
+
+    def __init__(self, destpath=os.curdir):
+        """Create a DataSource with a local path at destpath."""
+        if destpath:
+            self._destpath = os.path.abspath(destpath)
+            self._istmpdest = False
+        else:
+            import tempfile  # deferring import to improve startup time
+            self._destpath = tempfile.mkdtemp()
+            self._istmpdest = True
+
+    def __del__(self):
+        # Remove temp directories
+        if hasattr(self, '_istmpdest') and self._istmpdest:
+            import shutil
+
+            shutil.rmtree(self._destpath)
+
+    def _iszip(self, filename):
+        """Test if the filename is a zip file by looking at the file extension.
+
+        """
+        fname, ext = os.path.splitext(filename)
+        return ext in _file_openers.keys()
+
+    def _iswritemode(self, mode):
+        """Test if the given mode will open a file for writing."""
+
+        # Currently only used to test the bz2 files.
+        _writemodes = ("w", "+")
+        return any(c in _writemodes for c in mode)
+
+    def _splitzipext(self, filename):
+        """Split zip extension from filename and return filename.
+
+        Returns
+        -------
+        base, zip_ext : {tuple}
+
+        """
+
+        if self._iszip(filename):
+            return os.path.splitext(filename)
+        else:
+            return filename, None
+
+    def _possible_names(self, filename):
+        """Return a tuple containing compressed filename variations."""
+        names = [filename]
+        if not self._iszip(filename):
+            for zipext in _file_openers.keys():
+                if zipext:
+                    names.append(filename+zipext)
+        return names
+
+    def _isurl(self, path):
+        """Test if path is a net location.  Tests the scheme and netloc."""
+
+        # We do this here to reduce the 'import numpy' initial import time.
+        from urllib.parse import urlparse
+
+        # BUG : URLs require a scheme string ('http://') to be used.
+        #       www.google.com will fail.
+        #       Should we prepend the scheme for those that don't have it and
+        #       test that also?  Similar to the way we append .gz and test for
+        #       for compressed versions of files.
+
+        scheme, netloc, upath, uparams, uquery, ufrag = urlparse(path)
+        return bool(scheme and netloc)
+
+    def _cache(self, path):
+        """Cache the file specified by path.
+
+        Creates a copy of the file in the datasource cache.
+
+        """
+        # We import these here because importing them is slow and
+        # a significant fraction of numpy's total import time.
+        import shutil
+        from urllib.request import urlopen
+
+        upath = self.abspath(path)
+
+        # ensure directory exists
+        if not os.path.exists(os.path.dirname(upath)):
+            os.makedirs(os.path.dirname(upath))
+
+        # TODO: Doesn't handle compressed files!
+        if self._isurl(path):
+            with urlopen(path) as openedurl:
+                with _open(upath, 'wb') as f:
+                    shutil.copyfileobj(openedurl, f)
+        else:
+            shutil.copyfile(path, upath)
+        return upath
+
+    def _findfile(self, path):
+        """Searches for ``path`` and returns full path if found.
+
+        If path is an URL, _findfile will cache a local copy and return the
+        path to the cached file.  If path is a local file, _findfile will
+        return a path to that local file.
+
+        The search will include possible compressed versions of the file
+        and return the first occurrence found.
+
+        """
+
+        # Build list of possible local file paths
+        if not self._isurl(path):
+            # Valid local paths
+            filelist = self._possible_names(path)
+            # Paths in self._destpath
+            filelist += self._possible_names(self.abspath(path))
+        else:
+            # Cached URLs in self._destpath
+            filelist = self._possible_names(self.abspath(path))
+            # Remote URLs
+            filelist = filelist + self._possible_names(path)
+
+        for name in filelist:
+            if self.exists(name):
+                if self._isurl(name):
+                    name = self._cache(name)
+                return name
+        return None
+
+    def abspath(self, path):
+        """
+        Return absolute path of file in the DataSource directory.
+
+        If `path` is an URL, then `abspath` will return either the location
+        the file exists locally or the location it would exist when opened
+        using the `open` method.
+
+        Parameters
+        ----------
+        path : str or pathlib.Path
+            Can be a local file or a remote URL.
+
+        Returns
+        -------
+        out : str
+            Complete path, including the `DataSource` destination directory.
+
+        Notes
+        -----
+        The functionality is based on `os.path.abspath`.
+
+        """
+        # We do this here to reduce the 'import numpy' initial import time.
+        from urllib.parse import urlparse
+
+        # TODO:  This should be more robust.  Handles case where path includes
+        #        the destpath, but not other sub-paths. Failing case:
+        #        path = /home/guido/datafile.txt
+        #        destpath = /home/alex/
+        #        upath = self.abspath(path)
+        #        upath == '/home/alex/home/guido/datafile.txt'
+
+        # handle case where path includes self._destpath
+        splitpath = path.split(self._destpath, 2)
+        if len(splitpath) > 1:
+            path = splitpath[1]
+        scheme, netloc, upath, uparams, uquery, ufrag = urlparse(path)
+        netloc = self._sanitize_relative_path(netloc)
+        upath = self._sanitize_relative_path(upath)
+        return os.path.join(self._destpath, netloc, upath)
+
+    def _sanitize_relative_path(self, path):
+        """Return a sanitised relative path for which
+        os.path.abspath(os.path.join(base, path)).startswith(base)
+        """
+        last = None
+        path = os.path.normpath(path)
+        while path != last:
+            last = path
+            # Note: os.path.join treats '/' as os.sep on Windows
+            path = path.lstrip(os.sep).lstrip('/')
+            path = path.lstrip(os.pardir).removeprefix('..')
+            drive, path = os.path.splitdrive(path)  # for Windows
+        return path
+
+    def exists(self, path):
+        """
+        Test if path exists.
+
+        Test if `path` exists as (and in this order):
+
+        - a local file.
+        - a remote URL that has been downloaded and stored locally in the
+          `DataSource` directory.
+        - a remote URL that has not been downloaded, but is valid and
+          accessible.
+
+        Parameters
+        ----------
+        path : str or pathlib.Path
+            Can be a local file or a remote URL.
+
+        Returns
+        -------
+        out : bool
+            True if `path` exists.
+
+        Notes
+        -----
+        When `path` is an URL, `exists` will return True if it's either
+        stored locally in the `DataSource` directory, or is a valid remote
+        URL.  `DataSource` does not discriminate between the two, the file
+        is accessible if it exists in either location.
+
+        """
+
+        # First test for local path
+        if os.path.exists(path):
+            return True
+
+        # We import this here because importing urllib is slow and
+        # a significant fraction of numpy's total import time.
+        from urllib.request import urlopen
+        from urllib.error import URLError
+
+        # Test cached url
+        upath = self.abspath(path)
+        if os.path.exists(upath):
+            return True
+
+        # Test remote url
+        if self._isurl(path):
+            try:
+                netfile = urlopen(path)
+                netfile.close()
+                del(netfile)
+                return True
+            except URLError:
+                return False
+        return False
+
+    def open(self, path, mode='r', encoding=None, newline=None):
+        """
+        Open and return file-like object.
+
+        If `path` is an URL, it will be downloaded, stored in the
+        `DataSource` directory and opened from there.
+
+        Parameters
+        ----------
+        path : str or pathlib.Path
+            Local file path or URL to open.
+        mode : {'r', 'w', 'a'}, optional
+            Mode to open `path`.  Mode 'r' for reading, 'w' for writing,
+            'a' to append. Available modes depend on the type of object
+            specified by `path`. Default is 'r'.
+        encoding : {None, str}, optional
+            Open text file with given encoding. The default encoding will be
+            what `open` uses.
+        newline : {None, str}, optional
+            Newline to use when reading text file.
+
+        Returns
+        -------
+        out : file object
+            File object.
+
+        """
+
+        # TODO: There is no support for opening a file for writing which
+        #       doesn't exist yet (creating a file).  Should there be?
+
+        # TODO: Add a ``subdir`` parameter for specifying the subdirectory
+        #       used to store URLs in self._destpath.
+
+        if self._isurl(path) and self._iswritemode(mode):
+            raise ValueError("URLs are not writeable")
+
+        # NOTE: _findfile will fail on a new file opened for writing.
+        found = self._findfile(path)
+        if found:
+            _fname, ext = self._splitzipext(found)
+            if ext == 'bz2':
+                mode.replace("+", "")
+            return _file_openers[ext](found, mode=mode,
+                                      encoding=encoding, newline=newline)
+        else:
+            raise FileNotFoundError(f"{path} not found.")
+
+
+class Repository (DataSource):
+    """
+    Repository(baseurl, destpath='.')
+
+    A data repository where multiple DataSource's share a base
+    URL/directory.
+
+    `Repository` extends `DataSource` by prepending a base URL (or
+    directory) to all the files it handles. Use `Repository` when you will
+    be working with multiple files from one base URL.  Initialize
+    `Repository` with the base URL, then refer to each file by its filename
+    only.
+
+    Parameters
+    ----------
+    baseurl : str
+        Path to the local directory or remote location that contains the
+        data files.
+    destpath : str or None, optional
+        Path to the directory where the source file gets downloaded to for
+        use.  If `destpath` is None, a temporary directory will be created.
+        The default path is the current directory.
+
+    Examples
+    --------
+    To analyze all files in the repository, do something like this
+    (note: this is not self-contained code)::
+
+        >>> repos = np.lib._datasource.Repository('/home/user/data/dir/')
+        >>> for filename in filelist:
+        ...     fp = repos.open(filename)
+        ...     fp.analyze()
+        ...     fp.close()
+
+    Similarly you could use a URL for a repository::
+
+        >>> repos = np.lib._datasource.Repository('http://www.xyz.edu/data')
+
+    """
+
+    def __init__(self, baseurl, destpath=os.curdir):
+        """Create a Repository with a shared url or directory of baseurl."""
+        DataSource.__init__(self, destpath=destpath)
+        self._baseurl = baseurl
+
+    def __del__(self):
+        DataSource.__del__(self)
+
+    def _fullpath(self, path):
+        """Return complete path for path.  Prepends baseurl if necessary."""
+        splitpath = path.split(self._baseurl, 2)
+        if len(splitpath) == 1:
+            result = os.path.join(self._baseurl, path)
+        else:
+            result = path    # path contains baseurl already
+        return result
+
+    def _findfile(self, path):
+        """Extend DataSource method to prepend baseurl to ``path``."""
+        return DataSource._findfile(self, self._fullpath(path))
+
+    def abspath(self, path):
+        """
+        Return absolute path of file in the Repository directory.
+
+        If `path` is an URL, then `abspath` will return either the location
+        the file exists locally or the location it would exist when opened
+        using the `open` method.
+
+        Parameters
+        ----------
+        path : str or pathlib.Path
+            Can be a local file or a remote URL. This may, but does not
+            have to, include the `baseurl` with which the `Repository` was
+            initialized.
+
+        Returns
+        -------
+        out : str
+            Complete path, including the `DataSource` destination directory.
+
+        """
+        return DataSource.abspath(self, self._fullpath(path))
+
+    def exists(self, path):
+        """
+        Test if path exists prepending Repository base URL to path.
+
+        Test if `path` exists as (and in this order):
+
+        - a local file.
+        - a remote URL that has been downloaded and stored locally in the
+          `DataSource` directory.
+        - a remote URL that has not been downloaded, but is valid and
+          accessible.
+
+        Parameters
+        ----------
+        path : str or pathlib.Path
+            Can be a local file or a remote URL. This may, but does not
+            have to, include the `baseurl` with which the `Repository` was
+            initialized.
+
+        Returns
+        -------
+        out : bool
+            True if `path` exists.
+
+        Notes
+        -----
+        When `path` is an URL, `exists` will return True if it's either
+        stored locally in the `DataSource` directory, or is a valid remote
+        URL.  `DataSource` does not discriminate between the two, the file
+        is accessible if it exists in either location.
+
+        """
+        return DataSource.exists(self, self._fullpath(path))
+
+    def open(self, path, mode='r', encoding=None, newline=None):
+        """
+        Open and return file-like object prepending Repository base URL.
+
+        If `path` is an URL, it will be downloaded, stored in the
+        DataSource directory and opened from there.
+
+        Parameters
+        ----------
+        path : str or pathlib.Path
+            Local file path or URL to open. This may, but does not have to,
+            include the `baseurl` with which the `Repository` was
+            initialized.
+        mode : {'r', 'w', 'a'}, optional
+            Mode to open `path`.  Mode 'r' for reading, 'w' for writing,
+            'a' to append. Available modes depend on the type of object
+            specified by `path`. Default is 'r'.
+        encoding : {None, str}, optional
+            Open text file with given encoding. The default encoding will be
+            what `open` uses.
+        newline : {None, str}, optional
+            Newline to use when reading text file.
+
+        Returns
+        -------
+        out : file object
+            File object.
+
+        """
+        return DataSource.open(self, self._fullpath(path), mode,
+                               encoding=encoding, newline=newline)
+
+    def listdir(self):
+        """
+        List files in the source Repository.
+
+        Returns
+        -------
+        files : list of str or pathlib.Path
+            List of file names (not containing a directory part).
+
+        Notes
+        -----
+        Does not currently work for remote repositories.
+
+        """
+        if self._isurl(self._baseurl):
+            raise NotImplementedError(
+                  "Directory listing of URLs, not supported yet.")
+        else:
+            return os.listdir(self._baseurl)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_datasource.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_datasource.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..9f91fdf893a07a3bd3398ae43e2604a60d04d903
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_datasource.pyi
@@ -0,0 +1,31 @@
+from pathlib import Path
+from typing import IO, Any, TypeAlias
+
+from _typeshed import OpenBinaryMode, OpenTextMode
+
+_Mode: TypeAlias = OpenBinaryMode | OpenTextMode
+
+###
+
+# exported in numpy.lib.nppyio
+class DataSource:
+    def __init__(self, /, destpath: Path | str | None = ...) -> None: ...
+    def __del__(self, /) -> None: ...
+    def abspath(self, /, path: str) -> str: ...
+    def exists(self, /, path: str) -> bool: ...
+
+    # Whether the file-object is opened in string or bytes mode (by default)
+    # depends on the file-extension of `path`
+    def open(self, /, path: str, mode: _Mode = "r", encoding: str | None = None, newline: str | None = None) -> IO[Any]: ...
+
+class Repository(DataSource):
+    def __init__(self, /, baseurl: str, destpath: str | None = ...) -> None: ...
+    def listdir(self, /) -> list[str]: ...
+
+def open(
+    path: str,
+    mode: _Mode = "r",
+    destpath: str | None = ...,
+    encoding: str | None = None,
+    newline: str | None = None,
+) -> IO[Any]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_function_base_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_function_base_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..3fa9c5f99d95352ffc29ade5d33531ccc1f90ead
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_function_base_impl.py
@@ -0,0 +1,5827 @@
+import builtins
+import collections.abc
+import functools
+import re
+import sys
+import warnings
+
+import numpy as np
+import numpy._core.numeric as _nx
+from numpy._core import transpose, overrides
+from numpy._core.numeric import (
+    ones, zeros_like, arange, concatenate, array, asarray, asanyarray, empty,
+    ndarray, take, dot, where, intp, integer, isscalar, absolute
+    )
+from numpy._core.umath import (
+    pi, add, arctan2, frompyfunc, cos, less_equal, sqrt, sin,
+    mod, exp, not_equal, subtract, minimum
+    )
+from numpy._core.fromnumeric import (
+    ravel, nonzero, partition, mean, any, sum
+    )
+from numpy._core.numerictypes import typecodes
+from numpy.lib._twodim_base_impl import diag
+from numpy._core.multiarray import (
+    _place, bincount, normalize_axis_index, _monotonicity,
+    interp as compiled_interp, interp_complex as compiled_interp_complex
+    )
+from numpy._core._multiarray_umath import _array_converter
+from numpy._utils import set_module
+
+# needed in this module for compatibility
+from numpy.lib._histograms_impl import histogram, histogramdd  # noqa: F401
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+__all__ = [
+    'select', 'piecewise', 'trim_zeros', 'copy', 'iterable', 'percentile',
+    'diff', 'gradient', 'angle', 'unwrap', 'sort_complex', 'flip',
+    'rot90', 'extract', 'place', 'vectorize', 'asarray_chkfinite', 'average',
+    'bincount', 'digitize', 'cov', 'corrcoef',
+    'median', 'sinc', 'hamming', 'hanning', 'bartlett',
+    'blackman', 'kaiser', 'trapezoid', 'trapz', 'i0',
+    'meshgrid', 'delete', 'insert', 'append', 'interp',
+    'quantile'
+    ]
+
+# _QuantileMethods is a dictionary listing all the supported methods to
+# compute quantile/percentile.
+#
+# Below virtual_index refers to the index of the element where the percentile
+# would be found in the sorted sample.
+# When the sample contains exactly the percentile wanted, the virtual_index is
+# an integer to the index of this element.
+# When the percentile wanted is in between two elements, the virtual_index
+# is made of a integer part (a.k.a 'i' or 'left') and a fractional part
+# (a.k.a 'g' or 'gamma')
+#
+# Each method in _QuantileMethods has two properties
+# get_virtual_index : Callable
+#   The function used to compute the virtual_index.
+# fix_gamma : Callable
+#   A function used for discrete methods to force the index to a specific value.
+_QuantileMethods = dict(
+    # --- HYNDMAN and FAN METHODS
+    # Discrete methods
+    inverted_cdf=dict(
+        get_virtual_index=lambda n, quantiles: _inverted_cdf(n, quantiles),
+        fix_gamma=None,  # should never be called
+    ),
+    averaged_inverted_cdf=dict(
+        get_virtual_index=lambda n, quantiles: (n * quantiles) - 1,
+        fix_gamma=lambda gamma, _: _get_gamma_mask(
+            shape=gamma.shape,
+            default_value=1.,
+            conditioned_value=0.5,
+            where=gamma == 0),
+    ),
+    closest_observation=dict(
+        get_virtual_index=lambda n, quantiles: _closest_observation(n,
+                                                                    quantiles),
+        fix_gamma=None,  # should never be called
+    ),
+    # Continuous methods
+    interpolated_inverted_cdf=dict(
+        get_virtual_index=lambda n, quantiles:
+        _compute_virtual_index(n, quantiles, 0, 1),
+        fix_gamma=lambda gamma, _: gamma,
+    ),
+    hazen=dict(
+        get_virtual_index=lambda n, quantiles:
+        _compute_virtual_index(n, quantiles, 0.5, 0.5),
+        fix_gamma=lambda gamma, _: gamma,
+    ),
+    weibull=dict(
+        get_virtual_index=lambda n, quantiles:
+        _compute_virtual_index(n, quantiles, 0, 0),
+        fix_gamma=lambda gamma, _: gamma,
+    ),
+    # Default method.
+    # To avoid some rounding issues, `(n-1) * quantiles` is preferred to
+    # `_compute_virtual_index(n, quantiles, 1, 1)`.
+    # They are mathematically equivalent.
+    linear=dict(
+        get_virtual_index=lambda n, quantiles: (n - 1) * quantiles,
+        fix_gamma=lambda gamma, _: gamma,
+    ),
+    median_unbiased=dict(
+        get_virtual_index=lambda n, quantiles:
+        _compute_virtual_index(n, quantiles, 1 / 3.0, 1 / 3.0),
+        fix_gamma=lambda gamma, _: gamma,
+    ),
+    normal_unbiased=dict(
+        get_virtual_index=lambda n, quantiles:
+        _compute_virtual_index(n, quantiles, 3 / 8.0, 3 / 8.0),
+        fix_gamma=lambda gamma, _: gamma,
+    ),
+    # --- OTHER METHODS
+    lower=dict(
+        get_virtual_index=lambda n, quantiles: np.floor(
+            (n - 1) * quantiles).astype(np.intp),
+        fix_gamma=None,  # should never be called, index dtype is int
+    ),
+    higher=dict(
+        get_virtual_index=lambda n, quantiles: np.ceil(
+            (n - 1) * quantiles).astype(np.intp),
+        fix_gamma=None,  # should never be called, index dtype is int
+    ),
+    midpoint=dict(
+        get_virtual_index=lambda n, quantiles: 0.5 * (
+                np.floor((n - 1) * quantiles)
+                + np.ceil((n - 1) * quantiles)),
+        fix_gamma=lambda gamma, index: _get_gamma_mask(
+            shape=gamma.shape,
+            default_value=0.5,
+            conditioned_value=0.,
+            where=index % 1 == 0),
+    ),
+    nearest=dict(
+        get_virtual_index=lambda n, quantiles: np.around(
+            (n - 1) * quantiles).astype(np.intp),
+        fix_gamma=None,
+        # should never be called, index dtype is int
+    ))
+
+
+def _rot90_dispatcher(m, k=None, axes=None):
+    return (m,)
+
+
+@array_function_dispatch(_rot90_dispatcher)
+def rot90(m, k=1, axes=(0, 1)):
+    """
+    Rotate an array by 90 degrees in the plane specified by axes.
+
+    Rotation direction is from the first towards the second axis.
+    This means for a 2D array with the default `k` and `axes`, the
+    rotation will be counterclockwise.
+
+    Parameters
+    ----------
+    m : array_like
+        Array of two or more dimensions.
+    k : integer
+        Number of times the array is rotated by 90 degrees.
+    axes : (2,) array_like
+        The array is rotated in the plane defined by the axes.
+        Axes must be different.
+
+    Returns
+    -------
+    y : ndarray
+        A rotated view of `m`.
+
+    See Also
+    --------
+    flip : Reverse the order of elements in an array along the given axis.
+    fliplr : Flip an array horizontally.
+    flipud : Flip an array vertically.
+
+    Notes
+    -----
+    ``rot90(m, k=1, axes=(1,0))``  is the reverse of
+    ``rot90(m, k=1, axes=(0,1))``
+
+    ``rot90(m, k=1, axes=(1,0))`` is equivalent to
+    ``rot90(m, k=-1, axes=(0,1))``
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> m = np.array([[1,2],[3,4]], int)
+    >>> m
+    array([[1, 2],
+           [3, 4]])
+    >>> np.rot90(m)
+    array([[2, 4],
+           [1, 3]])
+    >>> np.rot90(m, 2)
+    array([[4, 3],
+           [2, 1]])
+    >>> m = np.arange(8).reshape((2,2,2))
+    >>> np.rot90(m, 1, (1,2))
+    array([[[1, 3],
+            [0, 2]],
+           [[5, 7],
+            [4, 6]]])
+
+    """
+    axes = tuple(axes)
+    if len(axes) != 2:
+        raise ValueError("len(axes) must be 2.")
+
+    m = asanyarray(m)
+
+    if axes[0] == axes[1] or absolute(axes[0] - axes[1]) == m.ndim:
+        raise ValueError("Axes must be different.")
+
+    if (axes[0] >= m.ndim or axes[0] < -m.ndim
+        or axes[1] >= m.ndim or axes[1] < -m.ndim):
+        raise ValueError("Axes={} out of range for array of ndim={}."
+            .format(axes, m.ndim))
+
+    k %= 4
+
+    if k == 0:
+        return m[:]
+    if k == 2:
+        return flip(flip(m, axes[0]), axes[1])
+
+    axes_list = arange(0, m.ndim)
+    (axes_list[axes[0]], axes_list[axes[1]]) = (axes_list[axes[1]],
+                                                axes_list[axes[0]])
+
+    if k == 1:
+        return transpose(flip(m, axes[1]), axes_list)
+    else:
+        # k == 3
+        return flip(transpose(m, axes_list), axes[1])
+
+
+def _flip_dispatcher(m, axis=None):
+    return (m,)
+
+
+@array_function_dispatch(_flip_dispatcher)
+def flip(m, axis=None):
+    """
+    Reverse the order of elements in an array along the given axis.
+
+    The shape of the array is preserved, but the elements are reordered.
+
+    Parameters
+    ----------
+    m : array_like
+        Input array.
+    axis : None or int or tuple of ints, optional
+         Axis or axes along which to flip over. The default,
+         axis=None, will flip over all of the axes of the input array.
+         If axis is negative it counts from the last to the first axis.
+
+         If axis is a tuple of ints, flipping is performed on all of the axes
+         specified in the tuple.
+
+    Returns
+    -------
+    out : array_like
+        A view of `m` with the entries of axis reversed.  Since a view is
+        returned, this operation is done in constant time.
+
+    See Also
+    --------
+    flipud : Flip an array vertically (axis=0).
+    fliplr : Flip an array horizontally (axis=1).
+
+    Notes
+    -----
+    flip(m, 0) is equivalent to flipud(m).
+
+    flip(m, 1) is equivalent to fliplr(m).
+
+    flip(m, n) corresponds to ``m[...,::-1,...]`` with ``::-1`` at position n.
+
+    flip(m) corresponds to ``m[::-1,::-1,...,::-1]`` with ``::-1`` at all
+    positions.
+
+    flip(m, (0, 1)) corresponds to ``m[::-1,::-1,...]`` with ``::-1`` at
+    position 0 and position 1.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> A = np.arange(8).reshape((2,2,2))
+    >>> A
+    array([[[0, 1],
+            [2, 3]],
+           [[4, 5],
+            [6, 7]]])
+    >>> np.flip(A, 0)
+    array([[[4, 5],
+            [6, 7]],
+           [[0, 1],
+            [2, 3]]])
+    >>> np.flip(A, 1)
+    array([[[2, 3],
+            [0, 1]],
+           [[6, 7],
+            [4, 5]]])
+    >>> np.flip(A)
+    array([[[7, 6],
+            [5, 4]],
+           [[3, 2],
+            [1, 0]]])
+    >>> np.flip(A, (0, 2))
+    array([[[5, 4],
+            [7, 6]],
+           [[1, 0],
+            [3, 2]]])
+    >>> rng = np.random.default_rng()
+    >>> A = rng.normal(size=(3,4,5))
+    >>> np.all(np.flip(A,2) == A[:,:,::-1,...])
+    True
+    """
+    if not hasattr(m, 'ndim'):
+        m = asarray(m)
+    if axis is None:
+        indexer = (np.s_[::-1],) * m.ndim
+    else:
+        axis = _nx.normalize_axis_tuple(axis, m.ndim)
+        indexer = [np.s_[:]] * m.ndim
+        for ax in axis:
+            indexer[ax] = np.s_[::-1]
+        indexer = tuple(indexer)
+    return m[indexer]
+
+
+@set_module('numpy')
+def iterable(y):
+    """
+    Check whether or not an object can be iterated over.
+
+    Parameters
+    ----------
+    y : object
+      Input object.
+
+    Returns
+    -------
+    b : bool
+      Return ``True`` if the object has an iterator method or is a
+      sequence and ``False`` otherwise.
+
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.iterable([1, 2, 3])
+    True
+    >>> np.iterable(2)
+    False
+
+    Notes
+    -----
+    In most cases, the results of ``np.iterable(obj)`` are consistent with
+    ``isinstance(obj, collections.abc.Iterable)``. One notable exception is
+    the treatment of 0-dimensional arrays::
+
+        >>> from collections.abc import Iterable
+        >>> a = np.array(1.0)  # 0-dimensional numpy array
+        >>> isinstance(a, Iterable)
+        True
+        >>> np.iterable(a)
+        False
+
+    """
+    try:
+        iter(y)
+    except TypeError:
+        return False
+    return True
+
+
+def _weights_are_valid(weights, a, axis):
+    """Validate weights array.
+
+    We assume, weights is not None.
+    """
+    wgt = np.asanyarray(weights)
+
+    # Sanity checks
+    if a.shape != wgt.shape:
+        if axis is None:
+            raise TypeError(
+                "Axis must be specified when shapes of a and weights "
+                "differ.")
+        if wgt.shape != tuple(a.shape[ax] for ax in axis):
+            raise ValueError(
+                "Shape of weights must be consistent with "
+                "shape of a along specified axis.")
+
+        # setup wgt to broadcast along axis
+        wgt = wgt.transpose(np.argsort(axis))
+        wgt = wgt.reshape(tuple((s if ax in axis else 1)
+                                for ax, s in enumerate(a.shape)))
+    return wgt
+
+
+def _average_dispatcher(a, axis=None, weights=None, returned=None, *,
+                        keepdims=None):
+    return (a, weights)
+
+
+@array_function_dispatch(_average_dispatcher)
+def average(a, axis=None, weights=None, returned=False, *,
+            keepdims=np._NoValue):
+    """
+    Compute the weighted average along the specified axis.
+
+    Parameters
+    ----------
+    a : array_like
+        Array containing data to be averaged. If `a` is not an array, a
+        conversion is attempted.
+    axis : None or int or tuple of ints, optional
+        Axis or axes along which to average `a`.  The default,
+        `axis=None`, will average over all of the elements of the input array.
+        If axis is negative it counts from the last to the first axis.
+        If axis is a tuple of ints, averaging is performed on all of the axes
+        specified in the tuple instead of a single axis or all the axes as
+        before.
+    weights : array_like, optional
+        An array of weights associated with the values in `a`. Each value in
+        `a` contributes to the average according to its associated weight.
+        The array of weights must be the same shape as `a` if no axis is
+        specified, otherwise the weights must have dimensions and shape
+        consistent with `a` along the specified axis.
+        If `weights=None`, then all data in `a` are assumed to have a
+        weight equal to one.
+        The calculation is::
+
+            avg = sum(a * weights) / sum(weights)
+
+        where the sum is over all included elements.
+        The only constraint on the values of `weights` is that `sum(weights)`
+        must not be 0.
+    returned : bool, optional
+        Default is `False`. If `True`, the tuple (`average`, `sum_of_weights`)
+        is returned, otherwise only the average is returned.
+        If `weights=None`, `sum_of_weights` is equivalent to the number of
+        elements over which the average is taken.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+        *Note:* `keepdims` will not work with instances of `numpy.matrix`
+        or other classes whose methods do not support `keepdims`.
+
+        .. versionadded:: 1.23.0
+
+    Returns
+    -------
+    retval, [sum_of_weights] : array_type or double
+        Return the average along the specified axis. When `returned` is `True`,
+        return a tuple with the average as the first element and the sum
+        of the weights as the second element. `sum_of_weights` is of the
+        same type as `retval`. The result dtype follows a general pattern.
+        If `weights` is None, the result dtype will be that of `a` , or ``float64``
+        if `a` is integral. Otherwise, if `weights` is not None and `a` is non-
+        integral, the result type will be the type of lowest precision capable of
+        representing values of both `a` and `weights`. If `a` happens to be
+        integral, the previous rules still applies but the result dtype will
+        at least be ``float64``.
+
+    Raises
+    ------
+    ZeroDivisionError
+        When all weights along axis are zero. See `numpy.ma.average` for a
+        version robust to this type of error.
+    TypeError
+        When `weights` does not have the same shape as `a`, and `axis=None`.
+    ValueError
+        When `weights` does not have dimensions and shape consistent with `a`
+        along specified `axis`.
+
+    See Also
+    --------
+    mean
+
+    ma.average : average for masked arrays -- useful if your data contains
+                 "missing" values
+    numpy.result_type : Returns the type that results from applying the
+                        numpy type promotion rules to the arguments.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> data = np.arange(1, 5)
+    >>> data
+    array([1, 2, 3, 4])
+    >>> np.average(data)
+    2.5
+    >>> np.average(np.arange(1, 11), weights=np.arange(10, 0, -1))
+    4.0
+
+    >>> data = np.arange(6).reshape((3, 2))
+    >>> data
+    array([[0, 1],
+           [2, 3],
+           [4, 5]])
+    >>> np.average(data, axis=1, weights=[1./4, 3./4])
+    array([0.75, 2.75, 4.75])
+    >>> np.average(data, weights=[1./4, 3./4])
+    Traceback (most recent call last):
+        ...
+    TypeError: Axis must be specified when shapes of a and weights differ.
+
+    With ``keepdims=True``, the following result has shape (3, 1).
+
+    >>> np.average(data, axis=1, keepdims=True)
+    array([[0.5],
+           [2.5],
+           [4.5]])
+
+    >>> data = np.arange(8).reshape((2, 2, 2))
+    >>> data
+    array([[[0, 1],
+            [2, 3]],
+           [[4, 5],
+            [6, 7]]])
+    >>> np.average(data, axis=(0, 1), weights=[[1./4, 3./4], [1., 1./2]])
+    array([3.4, 4.4])
+    >>> np.average(data, axis=0, weights=[[1./4, 3./4], [1., 1./2]])
+    Traceback (most recent call last):
+        ...
+    ValueError: Shape of weights must be consistent
+    with shape of a along specified axis.
+    """
+    a = np.asanyarray(a)
+
+    if axis is not None:
+        axis = _nx.normalize_axis_tuple(axis, a.ndim, argname="axis")
+
+    if keepdims is np._NoValue:
+        # Don't pass on the keepdims argument if one wasn't given.
+        keepdims_kw = {}
+    else:
+        keepdims_kw = {'keepdims': keepdims}
+
+    if weights is None:
+        avg = a.mean(axis, **keepdims_kw)
+        avg_as_array = np.asanyarray(avg)
+        scl = avg_as_array.dtype.type(a.size/avg_as_array.size)
+    else:
+        wgt = _weights_are_valid(weights=weights, a=a, axis=axis)
+
+        if issubclass(a.dtype.type, (np.integer, np.bool)):
+            result_dtype = np.result_type(a.dtype, wgt.dtype, 'f8')
+        else:
+            result_dtype = np.result_type(a.dtype, wgt.dtype)
+
+        scl = wgt.sum(axis=axis, dtype=result_dtype, **keepdims_kw)
+        if np.any(scl == 0.0):
+            raise ZeroDivisionError(
+                "Weights sum to zero, can't be normalized")
+
+        avg = avg_as_array = np.multiply(a, wgt,
+                          dtype=result_dtype).sum(axis, **keepdims_kw) / scl
+
+    if returned:
+        if scl.shape != avg_as_array.shape:
+            scl = np.broadcast_to(scl, avg_as_array.shape).copy()
+        return avg, scl
+    else:
+        return avg
+
+
+@set_module('numpy')
+def asarray_chkfinite(a, dtype=None, order=None):
+    """Convert the input to an array, checking for NaNs or Infs.
+
+    Parameters
+    ----------
+    a : array_like
+        Input data, in any form that can be converted to an array.  This
+        includes lists, lists of tuples, tuples, tuples of tuples, tuples
+        of lists and ndarrays.  Success requires no NaNs or Infs.
+    dtype : data-type, optional
+        By default, the data-type is inferred from the input data.
+    order : {'C', 'F', 'A', 'K'}, optional
+        Memory layout.  'A' and 'K' depend on the order of input array a.
+        'C' row-major (C-style),
+        'F' column-major (Fortran-style) memory representation.
+        'A' (any) means 'F' if `a` is Fortran contiguous, 'C' otherwise
+        'K' (keep) preserve input order
+        Defaults to 'C'.
+
+    Returns
+    -------
+    out : ndarray
+        Array interpretation of `a`.  No copy is performed if the input
+        is already an ndarray.  If `a` is a subclass of ndarray, a base
+        class ndarray is returned.
+
+    Raises
+    ------
+    ValueError
+        Raises ValueError if `a` contains NaN (Not a Number) or Inf (Infinity).
+
+    See Also
+    --------
+    asarray : Create and array.
+    asanyarray : Similar function which passes through subclasses.
+    ascontiguousarray : Convert input to a contiguous array.
+    asfortranarray : Convert input to an ndarray with column-major
+                     memory order.
+    fromiter : Create an array from an iterator.
+    fromfunction : Construct an array by executing a function on grid
+                   positions.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Convert a list into an array. If all elements are finite, then
+    ``asarray_chkfinite`` is identical to ``asarray``.
+
+    >>> a = [1, 2]
+    >>> np.asarray_chkfinite(a, dtype=float)
+    array([1., 2.])
+
+    Raises ValueError if array_like contains Nans or Infs.
+
+    >>> a = [1, 2, np.inf]
+    >>> try:
+    ...     np.asarray_chkfinite(a)
+    ... except ValueError:
+    ...     print('ValueError')
+    ...
+    ValueError
+
+    """
+    a = asarray(a, dtype=dtype, order=order)
+    if a.dtype.char in typecodes['AllFloat'] and not np.isfinite(a).all():
+        raise ValueError(
+            "array must not contain infs or NaNs")
+    return a
+
+
+def _piecewise_dispatcher(x, condlist, funclist, *args, **kw):
+    yield x
+    # support the undocumented behavior of allowing scalars
+    if np.iterable(condlist):
+        yield from condlist
+
+
+@array_function_dispatch(_piecewise_dispatcher)
+def piecewise(x, condlist, funclist, *args, **kw):
+    """
+    Evaluate a piecewise-defined function.
+
+    Given a set of conditions and corresponding functions, evaluate each
+    function on the input data wherever its condition is true.
+
+    Parameters
+    ----------
+    x : ndarray or scalar
+        The input domain.
+    condlist : list of bool arrays or bool scalars
+        Each boolean array corresponds to a function in `funclist`.  Wherever
+        `condlist[i]` is True, `funclist[i](x)` is used as the output value.
+
+        Each boolean array in `condlist` selects a piece of `x`,
+        and should therefore be of the same shape as `x`.
+
+        The length of `condlist` must correspond to that of `funclist`.
+        If one extra function is given, i.e. if
+        ``len(funclist) == len(condlist) + 1``, then that extra function
+        is the default value, used wherever all conditions are false.
+    funclist : list of callables, f(x,*args,**kw), or scalars
+        Each function is evaluated over `x` wherever its corresponding
+        condition is True.  It should take a 1d array as input and give an 1d
+        array or a scalar value as output.  If, instead of a callable,
+        a scalar is provided then a constant function (``lambda x: scalar``) is
+        assumed.
+    args : tuple, optional
+        Any further arguments given to `piecewise` are passed to the functions
+        upon execution, i.e., if called ``piecewise(..., ..., 1, 'a')``, then
+        each function is called as ``f(x, 1, 'a')``.
+    kw : dict, optional
+        Keyword arguments used in calling `piecewise` are passed to the
+        functions upon execution, i.e., if called
+        ``piecewise(..., ..., alpha=1)``, then each function is called as
+        ``f(x, alpha=1)``.
+
+    Returns
+    -------
+    out : ndarray
+        The output is the same shape and type as x and is found by
+        calling the functions in `funclist` on the appropriate portions of `x`,
+        as defined by the boolean arrays in `condlist`.  Portions not covered
+        by any condition have a default value of 0.
+
+
+    See Also
+    --------
+    choose, select, where
+
+    Notes
+    -----
+    This is similar to choose or select, except that functions are
+    evaluated on elements of `x` that satisfy the corresponding condition from
+    `condlist`.
+
+    The result is::
+
+            |--
+            |funclist[0](x[condlist[0]])
+      out = |funclist[1](x[condlist[1]])
+            |...
+            |funclist[n2](x[condlist[n2]])
+            |--
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Define the signum function, which is -1 for ``x < 0`` and +1 for ``x >= 0``.
+
+    >>> x = np.linspace(-2.5, 2.5, 6)
+    >>> np.piecewise(x, [x < 0, x >= 0], [-1, 1])
+    array([-1., -1., -1.,  1.,  1.,  1.])
+
+    Define the absolute value, which is ``-x`` for ``x <0`` and ``x`` for
+    ``x >= 0``.
+
+    >>> np.piecewise(x, [x < 0, x >= 0], [lambda x: -x, lambda x: x])
+    array([2.5,  1.5,  0.5,  0.5,  1.5,  2.5])
+
+    Apply the same function to a scalar value.
+
+    >>> y = -2
+    >>> np.piecewise(y, [y < 0, y >= 0], [lambda x: -x, lambda x: x])
+    array(2)
+
+    """
+    x = asanyarray(x)
+    n2 = len(funclist)
+
+    # undocumented: single condition is promoted to a list of one condition
+    if isscalar(condlist) or (
+            not isinstance(condlist[0], (list, ndarray)) and x.ndim != 0):
+        condlist = [condlist]
+
+    condlist = asarray(condlist, dtype=bool)
+    n = len(condlist)
+
+    if n == n2 - 1:  # compute the "otherwise" condition.
+        condelse = ~np.any(condlist, axis=0, keepdims=True)
+        condlist = np.concatenate([condlist, condelse], axis=0)
+        n += 1
+    elif n != n2:
+        raise ValueError(
+            "with {} condition(s), either {} or {} functions are expected"
+            .format(n, n, n+1)
+        )
+
+    y = zeros_like(x)
+    for cond, func in zip(condlist, funclist):
+        if not isinstance(func, collections.abc.Callable):
+            y[cond] = func
+        else:
+            vals = x[cond]
+            if vals.size > 0:
+                y[cond] = func(vals, *args, **kw)
+
+    return y
+
+
+def _select_dispatcher(condlist, choicelist, default=None):
+    yield from condlist
+    yield from choicelist
+
+
+@array_function_dispatch(_select_dispatcher)
+def select(condlist, choicelist, default=0):
+    """
+    Return an array drawn from elements in choicelist, depending on conditions.
+
+    Parameters
+    ----------
+    condlist : list of bool ndarrays
+        The list of conditions which determine from which array in `choicelist`
+        the output elements are taken. When multiple conditions are satisfied,
+        the first one encountered in `condlist` is used.
+    choicelist : list of ndarrays
+        The list of arrays from which the output elements are taken. It has
+        to be of the same length as `condlist`.
+    default : scalar, optional
+        The element inserted in `output` when all conditions evaluate to False.
+
+    Returns
+    -------
+    output : ndarray
+        The output at position m is the m-th element of the array in
+        `choicelist` where the m-th element of the corresponding array in
+        `condlist` is True.
+
+    See Also
+    --------
+    where : Return elements from one of two arrays depending on condition.
+    take, choose, compress, diag, diagonal
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Beginning with an array of integers from 0 to 5 (inclusive),
+    elements less than ``3`` are negated, elements greater than ``3``
+    are squared, and elements not meeting either of these conditions
+    (exactly ``3``) are replaced with a `default` value of ``42``.
+
+    >>> x = np.arange(6)
+    >>> condlist = [x<3, x>3]
+    >>> choicelist = [x, x**2]
+    >>> np.select(condlist, choicelist, 42)
+    array([ 0,  1,  2, 42, 16, 25])
+
+    When multiple conditions are satisfied, the first one encountered in
+    `condlist` is used.
+
+    >>> condlist = [x<=4, x>3]
+    >>> choicelist = [x, x**2]
+    >>> np.select(condlist, choicelist, 55)
+    array([ 0,  1,  2,  3,  4, 25])
+
+    """
+    # Check the size of condlist and choicelist are the same, or abort.
+    if len(condlist) != len(choicelist):
+        raise ValueError(
+            'list of cases must be same length as list of conditions')
+
+    # Now that the dtype is known, handle the deprecated select([], []) case
+    if len(condlist) == 0:
+        raise ValueError("select with an empty condition list is not possible")
+
+    # TODO: This preserves the Python int, float, complex manually to get the
+    #       right `result_type` with NEP 50.  Most likely we will grow a better
+    #       way to spell this (and this can be replaced).
+    choicelist = [
+        choice if type(choice) in (int, float, complex) else np.asarray(choice)
+        for choice in choicelist]
+    choicelist.append(default if type(default) in (int, float, complex)
+                      else np.asarray(default))
+
+    try:
+        dtype = np.result_type(*choicelist)
+    except TypeError as e:
+        msg = f'Choicelist and default value do not have a common dtype: {e}'
+        raise TypeError(msg) from None
+
+    # Convert conditions to arrays and broadcast conditions and choices
+    # as the shape is needed for the result. Doing it separately optimizes
+    # for example when all choices are scalars.
+    condlist = np.broadcast_arrays(*condlist)
+    choicelist = np.broadcast_arrays(*choicelist)
+
+    # If cond array is not an ndarray in boolean format or scalar bool, abort.
+    for i, cond in enumerate(condlist):
+        if cond.dtype.type is not np.bool:
+            raise TypeError(
+                'invalid entry {} in condlist: should be boolean ndarray'.format(i))
+
+    if choicelist[0].ndim == 0:
+        # This may be common, so avoid the call.
+        result_shape = condlist[0].shape
+    else:
+        result_shape = np.broadcast_arrays(condlist[0], choicelist[0])[0].shape
+
+    result = np.full(result_shape, choicelist[-1], dtype)
+
+    # Use np.copyto to burn each choicelist array onto result, using the
+    # corresponding condlist as a boolean mask. This is done in reverse
+    # order since the first choice should take precedence.
+    choicelist = choicelist[-2::-1]
+    condlist = condlist[::-1]
+    for choice, cond in zip(choicelist, condlist):
+        np.copyto(result, choice, where=cond)
+
+    return result
+
+
+def _copy_dispatcher(a, order=None, subok=None):
+    return (a,)
+
+
+@array_function_dispatch(_copy_dispatcher)
+def copy(a, order='K', subok=False):
+    """
+    Return an array copy of the given object.
+
+    Parameters
+    ----------
+    a : array_like
+        Input data.
+    order : {'C', 'F', 'A', 'K'}, optional
+        Controls the memory layout of the copy. 'C' means C-order,
+        'F' means F-order, 'A' means 'F' if `a` is Fortran contiguous,
+        'C' otherwise. 'K' means match the layout of `a` as closely
+        as possible. (Note that this function and :meth:`ndarray.copy` are very
+        similar, but have different default values for their order=
+        arguments.)
+    subok : bool, optional
+        If True, then sub-classes will be passed-through, otherwise the
+        returned array will be forced to be a base-class array (defaults to False).
+
+    Returns
+    -------
+    arr : ndarray
+        Array interpretation of `a`.
+
+    See Also
+    --------
+    ndarray.copy : Preferred method for creating an array copy
+
+    Notes
+    -----
+    This is equivalent to:
+
+    >>> np.array(a, copy=True)  #doctest: +SKIP
+
+    The copy made of the data is shallow, i.e., for arrays with object dtype,
+    the new array will point to the same objects.
+    See Examples from `ndarray.copy`.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Create an array x, with a reference y and a copy z:
+
+    >>> x = np.array([1, 2, 3])
+    >>> y = x
+    >>> z = np.copy(x)
+
+    Note that, when we modify x, y changes, but not z:
+
+    >>> x[0] = 10
+    >>> x[0] == y[0]
+    True
+    >>> x[0] == z[0]
+    False
+
+    Note that, np.copy clears previously set WRITEABLE=False flag.
+
+    >>> a = np.array([1, 2, 3])
+    >>> a.flags["WRITEABLE"] = False
+    >>> b = np.copy(a)
+    >>> b.flags["WRITEABLE"]
+    True
+    >>> b[0] = 3
+    >>> b
+    array([3, 2, 3])
+    """
+    return array(a, order=order, subok=subok, copy=True)
+
+# Basic operations
+
+
+def _gradient_dispatcher(f, *varargs, axis=None, edge_order=None):
+    yield f
+    yield from varargs
+
+
+@array_function_dispatch(_gradient_dispatcher)
+def gradient(f, *varargs, axis=None, edge_order=1):
+    """
+    Return the gradient of an N-dimensional array.
+
+    The gradient is computed using second order accurate central differences
+    in the interior points and either first or second order accurate one-sides
+    (forward or backwards) differences at the boundaries.
+    The returned gradient hence has the same shape as the input array.
+
+    Parameters
+    ----------
+    f : array_like
+        An N-dimensional array containing samples of a scalar function.
+    varargs : list of scalar or array, optional
+        Spacing between f values. Default unitary spacing for all dimensions.
+        Spacing can be specified using:
+
+        1. single scalar to specify a sample distance for all dimensions.
+        2. N scalars to specify a constant sample distance for each dimension.
+           i.e. `dx`, `dy`, `dz`, ...
+        3. N arrays to specify the coordinates of the values along each
+           dimension of F. The length of the array must match the size of
+           the corresponding dimension
+        4. Any combination of N scalars/arrays with the meaning of 2. and 3.
+
+        If `axis` is given, the number of varargs must equal the number of axes.
+        Default: 1. (see Examples below).
+
+    edge_order : {1, 2}, optional
+        Gradient is calculated using N-th order accurate differences
+        at the boundaries. Default: 1.
+    axis : None or int or tuple of ints, optional
+        Gradient is calculated only along the given axis or axes
+        The default (axis = None) is to calculate the gradient for all the axes
+        of the input array. axis may be negative, in which case it counts from
+        the last to the first axis.
+
+    Returns
+    -------
+    gradient : ndarray or tuple of ndarray
+        A tuple of ndarrays (or a single ndarray if there is only one
+        dimension) corresponding to the derivatives of f with respect
+        to each dimension. Each derivative has the same shape as f.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> f = np.array([1, 2, 4, 7, 11, 16])
+    >>> np.gradient(f)
+    array([1. , 1.5, 2.5, 3.5, 4.5, 5. ])
+    >>> np.gradient(f, 2)
+    array([0.5 ,  0.75,  1.25,  1.75,  2.25,  2.5 ])
+
+    Spacing can be also specified with an array that represents the coordinates
+    of the values F along the dimensions.
+    For instance a uniform spacing:
+
+    >>> x = np.arange(f.size)
+    >>> np.gradient(f, x)
+    array([1. ,  1.5,  2.5,  3.5,  4.5,  5. ])
+
+    Or a non uniform one:
+
+    >>> x = np.array([0., 1., 1.5, 3.5, 4., 6.])
+    >>> np.gradient(f, x)
+    array([1. ,  3. ,  3.5,  6.7,  6.9,  2.5])
+
+    For two dimensional arrays, the return will be two arrays ordered by
+    axis. In this example the first array stands for the gradient in
+    rows and the second one in columns direction:
+
+    >>> np.gradient(np.array([[1, 2, 6], [3, 4, 5]]))
+    (array([[ 2.,  2., -1.],
+            [ 2.,  2., -1.]]),
+     array([[1. , 2.5, 4. ],
+            [1. , 1. , 1. ]]))
+
+    In this example the spacing is also specified:
+    uniform for axis=0 and non uniform for axis=1
+
+    >>> dx = 2.
+    >>> y = [1., 1.5, 3.5]
+    >>> np.gradient(np.array([[1, 2, 6], [3, 4, 5]]), dx, y)
+    (array([[ 1. ,  1. , -0.5],
+            [ 1. ,  1. , -0.5]]),
+     array([[2. , 2. , 2. ],
+            [2. , 1.7, 0.5]]))
+
+    It is possible to specify how boundaries are treated using `edge_order`
+
+    >>> x = np.array([0, 1, 2, 3, 4])
+    >>> f = x**2
+    >>> np.gradient(f, edge_order=1)
+    array([1.,  2.,  4.,  6.,  7.])
+    >>> np.gradient(f, edge_order=2)
+    array([0., 2., 4., 6., 8.])
+
+    The `axis` keyword can be used to specify a subset of axes of which the
+    gradient is calculated
+
+    >>> np.gradient(np.array([[1, 2, 6], [3, 4, 5]]), axis=0)
+    array([[ 2.,  2., -1.],
+           [ 2.,  2., -1.]])
+
+    The `varargs` argument defines the spacing between sample points in the
+    input array. It can take two forms:
+
+    1. An array, specifying coordinates, which may be unevenly spaced:
+
+    >>> x = np.array([0., 2., 3., 6., 8.])
+    >>> y = x ** 2
+    >>> np.gradient(y, x, edge_order=2)
+    array([ 0.,  4.,  6., 12., 16.])
+
+    2. A scalar, representing the fixed sample distance:
+
+    >>> dx = 2
+    >>> x = np.array([0., 2., 4., 6., 8.])
+    >>> y = x ** 2
+    >>> np.gradient(y, dx, edge_order=2)
+    array([ 0.,  4.,  8., 12., 16.])
+
+    It's possible to provide different data for spacing along each dimension.
+    The number of arguments must match the number of dimensions in the input
+    data.
+
+    >>> dx = 2
+    >>> dy = 3
+    >>> x = np.arange(0, 6, dx)
+    >>> y = np.arange(0, 9, dy)
+    >>> xs, ys = np.meshgrid(x, y)
+    >>> zs = xs + 2 * ys
+    >>> np.gradient(zs, dy, dx)  # Passing two scalars
+    (array([[2., 2., 2.],
+            [2., 2., 2.],
+            [2., 2., 2.]]),
+     array([[1., 1., 1.],
+            [1., 1., 1.],
+            [1., 1., 1.]]))
+
+    Mixing scalars and arrays is also allowed:
+
+    >>> np.gradient(zs, y, dx)  # Passing one array and one scalar
+    (array([[2., 2., 2.],
+            [2., 2., 2.],
+            [2., 2., 2.]]),
+     array([[1., 1., 1.],
+            [1., 1., 1.],
+            [1., 1., 1.]]))
+
+    Notes
+    -----
+    Assuming that :math:`f\\in C^{3}` (i.e., :math:`f` has at least 3 continuous
+    derivatives) and let :math:`h_{*}` be a non-homogeneous stepsize, we
+    minimize the "consistency error" :math:`\\eta_{i}` between the true gradient
+    and its estimate from a linear combination of the neighboring grid-points:
+
+    .. math::
+
+        \\eta_{i} = f_{i}^{\\left(1\\right)} -
+                    \\left[ \\alpha f\\left(x_{i}\\right) +
+                            \\beta f\\left(x_{i} + h_{d}\\right) +
+                            \\gamma f\\left(x_{i}-h_{s}\\right)
+                    \\right]
+
+    By substituting :math:`f(x_{i} + h_{d})` and :math:`f(x_{i} - h_{s})`
+    with their Taylor series expansion, this translates into solving
+    the following the linear system:
+
+    .. math::
+
+        \\left\\{
+            \\begin{array}{r}
+                \\alpha+\\beta+\\gamma=0 \\\\
+                \\beta h_{d}-\\gamma h_{s}=1 \\\\
+                \\beta h_{d}^{2}+\\gamma h_{s}^{2}=0
+            \\end{array}
+        \\right.
+
+    The resulting approximation of :math:`f_{i}^{(1)}` is the following:
+
+    .. math::
+
+        \\hat f_{i}^{(1)} =
+            \\frac{
+                h_{s}^{2}f\\left(x_{i} + h_{d}\\right)
+                + \\left(h_{d}^{2} - h_{s}^{2}\\right)f\\left(x_{i}\\right)
+                - h_{d}^{2}f\\left(x_{i}-h_{s}\\right)}
+                { h_{s}h_{d}\\left(h_{d} + h_{s}\\right)}
+            + \\mathcal{O}\\left(\\frac{h_{d}h_{s}^{2}
+                                + h_{s}h_{d}^{2}}{h_{d}
+                                + h_{s}}\\right)
+
+    It is worth noting that if :math:`h_{s}=h_{d}`
+    (i.e., data are evenly spaced)
+    we find the standard second order approximation:
+
+    .. math::
+
+        \\hat f_{i}^{(1)}=
+            \\frac{f\\left(x_{i+1}\\right) - f\\left(x_{i-1}\\right)}{2h}
+            + \\mathcal{O}\\left(h^{2}\\right)
+
+    With a similar procedure the forward/backward approximations used for
+    boundaries can be derived.
+
+    References
+    ----------
+    .. [1]  Quarteroni A., Sacco R., Saleri F. (2007) Numerical Mathematics
+            (Texts in Applied Mathematics). New York: Springer.
+    .. [2]  Durran D. R. (1999) Numerical Methods for Wave Equations
+            in Geophysical Fluid Dynamics. New York: Springer.
+    .. [3]  Fornberg B. (1988) Generation of Finite Difference Formulas on
+            Arbitrarily Spaced Grids,
+            Mathematics of Computation 51, no. 184 : 699-706.
+            `PDF `_.
+    """
+    f = np.asanyarray(f)
+    N = f.ndim  # number of dimensions
+
+    if axis is None:
+        axes = tuple(range(N))
+    else:
+        axes = _nx.normalize_axis_tuple(axis, N)
+
+    len_axes = len(axes)
+    n = len(varargs)
+    if n == 0:
+        # no spacing argument - use 1 in all axes
+        dx = [1.0] * len_axes
+    elif n == 1 and np.ndim(varargs[0]) == 0:
+        # single scalar for all axes
+        dx = varargs * len_axes
+    elif n == len_axes:
+        # scalar or 1d array for each axis
+        dx = list(varargs)
+        for i, distances in enumerate(dx):
+            distances = np.asanyarray(distances)
+            if distances.ndim == 0:
+                continue
+            elif distances.ndim != 1:
+                raise ValueError("distances must be either scalars or 1d")
+            if len(distances) != f.shape[axes[i]]:
+                raise ValueError("when 1d, distances must match "
+                                 "the length of the corresponding dimension")
+            if np.issubdtype(distances.dtype, np.integer):
+                # Convert numpy integer types to float64 to avoid modular
+                # arithmetic in np.diff(distances).
+                distances = distances.astype(np.float64)
+            diffx = np.diff(distances)
+            # if distances are constant reduce to the scalar case
+            # since it brings a consistent speedup
+            if (diffx == diffx[0]).all():
+                diffx = diffx[0]
+            dx[i] = diffx
+    else:
+        raise TypeError("invalid number of arguments")
+
+    if edge_order > 2:
+        raise ValueError("'edge_order' greater than 2 not supported")
+
+    # use central differences on interior and one-sided differences on the
+    # endpoints. This preserves second order-accuracy over the full domain.
+
+    outvals = []
+
+    # create slice objects --- initially all are [:, :, ..., :]
+    slice1 = [slice(None)]*N
+    slice2 = [slice(None)]*N
+    slice3 = [slice(None)]*N
+    slice4 = [slice(None)]*N
+
+    otype = f.dtype
+    if otype.type is np.datetime64:
+        # the timedelta dtype with the same unit information
+        otype = np.dtype(otype.name.replace('datetime', 'timedelta'))
+        # view as timedelta to allow addition
+        f = f.view(otype)
+    elif otype.type is np.timedelta64:
+        pass
+    elif np.issubdtype(otype, np.inexact):
+        pass
+    else:
+        # All other types convert to floating point.
+        # First check if f is a numpy integer type; if so, convert f to float64
+        # to avoid modular arithmetic when computing the changes in f.
+        if np.issubdtype(otype, np.integer):
+            f = f.astype(np.float64)
+        otype = np.float64
+
+    for axis, ax_dx in zip(axes, dx):
+        if f.shape[axis] < edge_order + 1:
+            raise ValueError(
+                "Shape of array too small to calculate a numerical gradient, "
+                "at least (edge_order + 1) elements are required.")
+        # result allocation
+        out = np.empty_like(f, dtype=otype)
+
+        # spacing for the current axis
+        uniform_spacing = np.ndim(ax_dx) == 0
+
+        # Numerical differentiation: 2nd order interior
+        slice1[axis] = slice(1, -1)
+        slice2[axis] = slice(None, -2)
+        slice3[axis] = slice(1, -1)
+        slice4[axis] = slice(2, None)
+
+        if uniform_spacing:
+            out[tuple(slice1)] = (f[tuple(slice4)] - f[tuple(slice2)]) / (2. * ax_dx)
+        else:
+            dx1 = ax_dx[0:-1]
+            dx2 = ax_dx[1:]
+            a = -(dx2)/(dx1 * (dx1 + dx2))
+            b = (dx2 - dx1) / (dx1 * dx2)
+            c = dx1 / (dx2 * (dx1 + dx2))
+            # fix the shape for broadcasting
+            shape = np.ones(N, dtype=int)
+            shape[axis] = -1
+            a.shape = b.shape = c.shape = shape
+            # 1D equivalent -- out[1:-1] = a * f[:-2] + b * f[1:-1] + c * f[2:]
+            out[tuple(slice1)] = a * f[tuple(slice2)] + b * f[tuple(slice3)] + c * f[tuple(slice4)]
+
+        # Numerical differentiation: 1st order edges
+        if edge_order == 1:
+            slice1[axis] = 0
+            slice2[axis] = 1
+            slice3[axis] = 0
+            dx_0 = ax_dx if uniform_spacing else ax_dx[0]
+            # 1D equivalent -- out[0] = (f[1] - f[0]) / (x[1] - x[0])
+            out[tuple(slice1)] = (f[tuple(slice2)] - f[tuple(slice3)]) / dx_0
+
+            slice1[axis] = -1
+            slice2[axis] = -1
+            slice3[axis] = -2
+            dx_n = ax_dx if uniform_spacing else ax_dx[-1]
+            # 1D equivalent -- out[-1] = (f[-1] - f[-2]) / (x[-1] - x[-2])
+            out[tuple(slice1)] = (f[tuple(slice2)] - f[tuple(slice3)]) / dx_n
+
+        # Numerical differentiation: 2nd order edges
+        else:
+            slice1[axis] = 0
+            slice2[axis] = 0
+            slice3[axis] = 1
+            slice4[axis] = 2
+            if uniform_spacing:
+                a = -1.5 / ax_dx
+                b = 2. / ax_dx
+                c = -0.5 / ax_dx
+            else:
+                dx1 = ax_dx[0]
+                dx2 = ax_dx[1]
+                a = -(2. * dx1 + dx2)/(dx1 * (dx1 + dx2))
+                b = (dx1 + dx2) / (dx1 * dx2)
+                c = - dx1 / (dx2 * (dx1 + dx2))
+            # 1D equivalent -- out[0] = a * f[0] + b * f[1] + c * f[2]
+            out[tuple(slice1)] = a * f[tuple(slice2)] + b * f[tuple(slice3)] + c * f[tuple(slice4)]
+
+            slice1[axis] = -1
+            slice2[axis] = -3
+            slice3[axis] = -2
+            slice4[axis] = -1
+            if uniform_spacing:
+                a = 0.5 / ax_dx
+                b = -2. / ax_dx
+                c = 1.5 / ax_dx
+            else:
+                dx1 = ax_dx[-2]
+                dx2 = ax_dx[-1]
+                a = (dx2) / (dx1 * (dx1 + dx2))
+                b = - (dx2 + dx1) / (dx1 * dx2)
+                c = (2. * dx2 + dx1) / (dx2 * (dx1 + dx2))
+            # 1D equivalent -- out[-1] = a * f[-3] + b * f[-2] + c * f[-1]
+            out[tuple(slice1)] = a * f[tuple(slice2)] + b * f[tuple(slice3)] + c * f[tuple(slice4)]
+
+        outvals.append(out)
+
+        # reset the slice object in this dimension to ":"
+        slice1[axis] = slice(None)
+        slice2[axis] = slice(None)
+        slice3[axis] = slice(None)
+        slice4[axis] = slice(None)
+
+    if len_axes == 1:
+        return outvals[0]
+    return tuple(outvals)
+
+
+def _diff_dispatcher(a, n=None, axis=None, prepend=None, append=None):
+    return (a, prepend, append)
+
+
+@array_function_dispatch(_diff_dispatcher)
+def diff(a, n=1, axis=-1, prepend=np._NoValue, append=np._NoValue):
+    """
+    Calculate the n-th discrete difference along the given axis.
+
+    The first difference is given by ``out[i] = a[i+1] - a[i]`` along
+    the given axis, higher differences are calculated by using `diff`
+    recursively.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array
+    n : int, optional
+        The number of times values are differenced. If zero, the input
+        is returned as-is.
+    axis : int, optional
+        The axis along which the difference is taken, default is the
+        last axis.
+    prepend, append : array_like, optional
+        Values to prepend or append to `a` along axis prior to
+        performing the difference.  Scalar values are expanded to
+        arrays with length 1 in the direction of axis and the shape
+        of the input array in along all other axes.  Otherwise the
+        dimension and shape must match `a` except along axis.
+
+    Returns
+    -------
+    diff : ndarray
+        The n-th differences. The shape of the output is the same as `a`
+        except along `axis` where the dimension is smaller by `n`. The
+        type of the output is the same as the type of the difference
+        between any two elements of `a`. This is the same as the type of
+        `a` in most cases. A notable exception is `datetime64`, which
+        results in a `timedelta64` output array.
+
+    See Also
+    --------
+    gradient, ediff1d, cumsum
+
+    Notes
+    -----
+    Type is preserved for boolean arrays, so the result will contain
+    `False` when consecutive elements are the same and `True` when they
+    differ.
+
+    For unsigned integer arrays, the results will also be unsigned. This
+    should not be surprising, as the result is consistent with
+    calculating the difference directly:
+
+    >>> u8_arr = np.array([1, 0], dtype=np.uint8)
+    >>> np.diff(u8_arr)
+    array([255], dtype=uint8)
+    >>> u8_arr[1,...] - u8_arr[0,...]
+    np.uint8(255)
+
+    If this is not desirable, then the array should be cast to a larger
+    integer type first:
+
+    >>> i16_arr = u8_arr.astype(np.int16)
+    >>> np.diff(i16_arr)
+    array([-1], dtype=int16)
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.array([1, 2, 4, 7, 0])
+    >>> np.diff(x)
+    array([ 1,  2,  3, -7])
+    >>> np.diff(x, n=2)
+    array([  1,   1, -10])
+
+    >>> x = np.array([[1, 3, 6, 10], [0, 5, 6, 8]])
+    >>> np.diff(x)
+    array([[2, 3, 4],
+           [5, 1, 2]])
+    >>> np.diff(x, axis=0)
+    array([[-1,  2,  0, -2]])
+
+    >>> x = np.arange('1066-10-13', '1066-10-16', dtype=np.datetime64)
+    >>> np.diff(x)
+    array([1, 1], dtype='timedelta64[D]')
+
+    """
+    if n == 0:
+        return a
+    if n < 0:
+        raise ValueError(
+            "order must be non-negative but got " + repr(n))
+
+    a = asanyarray(a)
+    nd = a.ndim
+    if nd == 0:
+        raise ValueError("diff requires input that is at least one dimensional")
+    axis = normalize_axis_index(axis, nd)
+
+    combined = []
+    if prepend is not np._NoValue:
+        prepend = np.asanyarray(prepend)
+        if prepend.ndim == 0:
+            shape = list(a.shape)
+            shape[axis] = 1
+            prepend = np.broadcast_to(prepend, tuple(shape))
+        combined.append(prepend)
+
+    combined.append(a)
+
+    if append is not np._NoValue:
+        append = np.asanyarray(append)
+        if append.ndim == 0:
+            shape = list(a.shape)
+            shape[axis] = 1
+            append = np.broadcast_to(append, tuple(shape))
+        combined.append(append)
+
+    if len(combined) > 1:
+        a = np.concatenate(combined, axis)
+
+    slice1 = [slice(None)] * nd
+    slice2 = [slice(None)] * nd
+    slice1[axis] = slice(1, None)
+    slice2[axis] = slice(None, -1)
+    slice1 = tuple(slice1)
+    slice2 = tuple(slice2)
+
+    op = not_equal if a.dtype == np.bool else subtract
+    for _ in range(n):
+        a = op(a[slice1], a[slice2])
+
+    return a
+
+
+def _interp_dispatcher(x, xp, fp, left=None, right=None, period=None):
+    return (x, xp, fp)
+
+
+@array_function_dispatch(_interp_dispatcher)
+def interp(x, xp, fp, left=None, right=None, period=None):
+    """
+    One-dimensional linear interpolation for monotonically increasing sample points.
+
+    Returns the one-dimensional piecewise linear interpolant to a function
+    with given discrete data points (`xp`, `fp`), evaluated at `x`.
+
+    Parameters
+    ----------
+    x : array_like
+        The x-coordinates at which to evaluate the interpolated values.
+
+    xp : 1-D sequence of floats
+        The x-coordinates of the data points, must be increasing if argument
+        `period` is not specified. Otherwise, `xp` is internally sorted after
+        normalizing the periodic boundaries with ``xp = xp % period``.
+
+    fp : 1-D sequence of float or complex
+        The y-coordinates of the data points, same length as `xp`.
+
+    left : optional float or complex corresponding to fp
+        Value to return for `x < xp[0]`, default is `fp[0]`.
+
+    right : optional float or complex corresponding to fp
+        Value to return for `x > xp[-1]`, default is `fp[-1]`.
+
+    period : None or float, optional
+        A period for the x-coordinates. This parameter allows the proper
+        interpolation of angular x-coordinates. Parameters `left` and `right`
+        are ignored if `period` is specified.
+
+    Returns
+    -------
+    y : float or complex (corresponding to fp) or ndarray
+        The interpolated values, same shape as `x`.
+
+    Raises
+    ------
+    ValueError
+        If `xp` and `fp` have different length
+        If `xp` or `fp` are not 1-D sequences
+        If `period == 0`
+
+    See Also
+    --------
+    scipy.interpolate
+
+    Warnings
+    --------
+    The x-coordinate sequence is expected to be increasing, but this is not
+    explicitly enforced.  However, if the sequence `xp` is non-increasing,
+    interpolation results are meaningless.
+
+    Note that, since NaN is unsortable, `xp` also cannot contain NaNs.
+
+    A simple check for `xp` being strictly increasing is::
+
+        np.all(np.diff(xp) > 0)
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> xp = [1, 2, 3]
+    >>> fp = [3, 2, 0]
+    >>> np.interp(2.5, xp, fp)
+    1.0
+    >>> np.interp([0, 1, 1.5, 2.72, 3.14], xp, fp)
+    array([3.  , 3.  , 2.5 , 0.56, 0.  ])
+    >>> UNDEF = -99.0
+    >>> np.interp(3.14, xp, fp, right=UNDEF)
+    -99.0
+
+    Plot an interpolant to the sine function:
+
+    >>> x = np.linspace(0, 2*np.pi, 10)
+    >>> y = np.sin(x)
+    >>> xvals = np.linspace(0, 2*np.pi, 50)
+    >>> yinterp = np.interp(xvals, x, y)
+    >>> import matplotlib.pyplot as plt
+    >>> plt.plot(x, y, 'o')
+    []
+    >>> plt.plot(xvals, yinterp, '-x')
+    []
+    >>> plt.show()
+
+    Interpolation with periodic x-coordinates:
+
+    >>> x = [-180, -170, -185, 185, -10, -5, 0, 365]
+    >>> xp = [190, -190, 350, -350]
+    >>> fp = [5, 10, 3, 4]
+    >>> np.interp(x, xp, fp, period=360)
+    array([7.5 , 5.  , 8.75, 6.25, 3.  , 3.25, 3.5 , 3.75])
+
+    Complex interpolation:
+
+    >>> x = [1.5, 4.0]
+    >>> xp = [2,3,5]
+    >>> fp = [1.0j, 0, 2+3j]
+    >>> np.interp(x, xp, fp)
+    array([0.+1.j , 1.+1.5j])
+
+    """
+
+    fp = np.asarray(fp)
+
+    if np.iscomplexobj(fp):
+        interp_func = compiled_interp_complex
+        input_dtype = np.complex128
+    else:
+        interp_func = compiled_interp
+        input_dtype = np.float64
+
+    if period is not None:
+        if period == 0:
+            raise ValueError("period must be a non-zero value")
+        period = abs(period)
+        left = None
+        right = None
+
+        x = np.asarray(x, dtype=np.float64)
+        xp = np.asarray(xp, dtype=np.float64)
+        fp = np.asarray(fp, dtype=input_dtype)
+
+        if xp.ndim != 1 or fp.ndim != 1:
+            raise ValueError("Data points must be 1-D sequences")
+        if xp.shape[0] != fp.shape[0]:
+            raise ValueError("fp and xp are not of the same length")
+        # normalizing periodic boundaries
+        x = x % period
+        xp = xp % period
+        asort_xp = np.argsort(xp)
+        xp = xp[asort_xp]
+        fp = fp[asort_xp]
+        xp = np.concatenate((xp[-1:]-period, xp, xp[0:1]+period))
+        fp = np.concatenate((fp[-1:], fp, fp[0:1]))
+
+    return interp_func(x, xp, fp, left, right)
+
+
+def _angle_dispatcher(z, deg=None):
+    return (z,)
+
+
+@array_function_dispatch(_angle_dispatcher)
+def angle(z, deg=False):
+    """
+    Return the angle of the complex argument.
+
+    Parameters
+    ----------
+    z : array_like
+        A complex number or sequence of complex numbers.
+    deg : bool, optional
+        Return angle in degrees if True, radians if False (default).
+
+    Returns
+    -------
+    angle : ndarray or scalar
+        The counterclockwise angle from the positive real axis on the complex
+        plane in the range ``(-pi, pi]``, with dtype as numpy.float64.
+
+    See Also
+    --------
+    arctan2
+    absolute
+
+    Notes
+    -----
+    This function passes the imaginary and real parts of the argument to
+    `arctan2` to compute the result; consequently, it follows the convention
+    of `arctan2` when the magnitude of the argument is zero. See example.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.angle([1.0, 1.0j, 1+1j])               # in radians
+    array([ 0.        ,  1.57079633,  0.78539816]) # may vary
+    >>> np.angle(1+1j, deg=True)                  # in degrees
+    45.0
+    >>> np.angle([0., -0., complex(0., -0.), complex(-0., -0.)])  # convention
+    array([ 0.        ,  3.14159265, -0.        , -3.14159265])
+
+    """
+    z = asanyarray(z)
+    if issubclass(z.dtype.type, _nx.complexfloating):
+        zimag = z.imag
+        zreal = z.real
+    else:
+        zimag = 0
+        zreal = z
+
+    a = arctan2(zimag, zreal)
+    if deg:
+        a *= 180/pi
+    return a
+
+
+def _unwrap_dispatcher(p, discont=None, axis=None, *, period=None):
+    return (p,)
+
+
+@array_function_dispatch(_unwrap_dispatcher)
+def unwrap(p, discont=None, axis=-1, *, period=2*pi):
+    r"""
+    Unwrap by taking the complement of large deltas with respect to the period.
+
+    This unwraps a signal `p` by changing elements which have an absolute
+    difference from their predecessor of more than ``max(discont, period/2)``
+    to their `period`-complementary values.
+
+    For the default case where `period` is :math:`2\pi` and `discont` is
+    :math:`\pi`, this unwraps a radian phase `p` such that adjacent differences
+    are never greater than :math:`\pi` by adding :math:`2k\pi` for some
+    integer :math:`k`.
+
+    Parameters
+    ----------
+    p : array_like
+        Input array.
+    discont : float, optional
+        Maximum discontinuity between values, default is ``period/2``.
+        Values below ``period/2`` are treated as if they were ``period/2``.
+        To have an effect different from the default, `discont` should be
+        larger than ``period/2``.
+    axis : int, optional
+        Axis along which unwrap will operate, default is the last axis.
+    period : float, optional
+        Size of the range over which the input wraps. By default, it is
+        ``2 pi``.
+
+        .. versionadded:: 1.21.0
+
+    Returns
+    -------
+    out : ndarray
+        Output array.
+
+    See Also
+    --------
+    rad2deg, deg2rad
+
+    Notes
+    -----
+    If the discontinuity in `p` is smaller than ``period/2``,
+    but larger than `discont`, no unwrapping is done because taking
+    the complement would only make the discontinuity larger.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> phase = np.linspace(0, np.pi, num=5)
+    >>> phase[3:] += np.pi
+    >>> phase
+    array([ 0.        ,  0.78539816,  1.57079633,  5.49778714,  6.28318531]) # may vary
+    >>> np.unwrap(phase)
+    array([ 0.        ,  0.78539816,  1.57079633, -0.78539816,  0.        ]) # may vary
+    >>> np.unwrap([0, 1, 2, -1, 0], period=4)
+    array([0, 1, 2, 3, 4])
+    >>> np.unwrap([ 1, 2, 3, 4, 5, 6, 1, 2, 3], period=6)
+    array([1, 2, 3, 4, 5, 6, 7, 8, 9])
+    >>> np.unwrap([2, 3, 4, 5, 2, 3, 4, 5], period=4)
+    array([2, 3, 4, 5, 6, 7, 8, 9])
+    >>> phase_deg = np.mod(np.linspace(0 ,720, 19), 360) - 180
+    >>> np.unwrap(phase_deg, period=360)
+    array([-180., -140., -100.,  -60.,  -20.,   20.,   60.,  100.,  140.,
+            180.,  220.,  260.,  300.,  340.,  380.,  420.,  460.,  500.,
+            540.])
+    """
+    p = asarray(p)
+    nd = p.ndim
+    dd = diff(p, axis=axis)
+    if discont is None:
+        discont = period/2
+    slice1 = [slice(None, None)]*nd     # full slices
+    slice1[axis] = slice(1, None)
+    slice1 = tuple(slice1)
+    dtype = np.result_type(dd, period)
+    if _nx.issubdtype(dtype, _nx.integer):
+        interval_high, rem = divmod(period, 2)
+        boundary_ambiguous = rem == 0
+    else:
+        interval_high = period / 2
+        boundary_ambiguous = True
+    interval_low = -interval_high
+    ddmod = mod(dd - interval_low, period) + interval_low
+    if boundary_ambiguous:
+        # for `mask = (abs(dd) == period/2)`, the above line made
+        # `ddmod[mask] == -period/2`. correct these such that
+        # `ddmod[mask] == sign(dd[mask])*period/2`.
+        _nx.copyto(ddmod, interval_high,
+                   where=(ddmod == interval_low) & (dd > 0))
+    ph_correct = ddmod - dd
+    _nx.copyto(ph_correct, 0, where=abs(dd) < discont)
+    up = array(p, copy=True, dtype=dtype)
+    up[slice1] = p[slice1] + ph_correct.cumsum(axis)
+    return up
+
+
+def _sort_complex(a):
+    return (a,)
+
+
+@array_function_dispatch(_sort_complex)
+def sort_complex(a):
+    """
+    Sort a complex array using the real part first, then the imaginary part.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array
+
+    Returns
+    -------
+    out : complex ndarray
+        Always returns a sorted complex array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.sort_complex([5, 3, 6, 2, 1])
+    array([1.+0.j, 2.+0.j, 3.+0.j, 5.+0.j, 6.+0.j])
+
+    >>> np.sort_complex([1 + 2j, 2 - 1j, 3 - 2j, 3 - 3j, 3 + 5j])
+    array([1.+2.j,  2.-1.j,  3.-3.j,  3.-2.j,  3.+5.j])
+
+    """
+    b = array(a, copy=True)
+    b.sort()
+    if not issubclass(b.dtype.type, _nx.complexfloating):
+        if b.dtype.char in 'bhBH':
+            return b.astype('F')
+        elif b.dtype.char == 'g':
+            return b.astype('G')
+        else:
+            return b.astype('D')
+    else:
+        return b
+
+
+def _arg_trim_zeros(filt):
+    """Return indices of the first and last non-zero element.
+
+    Parameters
+    ----------
+    filt : array_like
+        Input array.
+
+    Returns
+    -------
+    start, stop : ndarray
+        Two arrays containing the indices of the first and last non-zero
+        element in each dimension.
+
+    See also
+    --------
+    trim_zeros
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> _arg_trim_zeros(np.array([0, 0, 1, 1, 0]))
+    (array([2]), array([3]))
+    """
+    nonzero = (
+        np.argwhere(filt)
+        if filt.dtype != np.object_
+        # Historically, `trim_zeros` treats `None` in an object array
+        # as non-zero while argwhere doesn't, account for that
+        else np.argwhere(filt != 0)
+    )
+    if nonzero.size == 0:
+        start = stop = np.array([], dtype=np.intp)
+    else:
+        start = nonzero.min(axis=0)
+        stop = nonzero.max(axis=0)
+    return start, stop
+
+
+def _trim_zeros(filt, trim=None, axis=None):
+    return (filt,)
+
+
+@array_function_dispatch(_trim_zeros)
+def trim_zeros(filt, trim='fb', axis=None):
+    """Remove values along a dimension which are zero along all other.
+
+    Parameters
+    ----------
+    filt : array_like
+        Input array.
+    trim : {"fb", "f", "b"}, optional
+        A string with 'f' representing trim from front and 'b' to trim from
+        back. By default, zeros are trimmed on both sides.
+        Front and back refer to the edges of a dimension, with "front" refering
+        to the side with the lowest index 0, and "back" refering to the highest
+        index (or index -1).
+    axis : int or sequence, optional
+        If None, `filt` is cropped such, that the smallest bounding box is
+        returned that still contains all values which are not zero.
+        If an axis is specified, `filt` will be sliced in that dimension only
+        on the sides specified by `trim`. The remaining area will be the
+        smallest that still contains all values wich are not zero.
+
+    Returns
+    -------
+    trimmed : ndarray or sequence
+        The result of trimming the input. The number of dimensions and the
+        input data type are preserved.
+
+    Notes
+    -----
+    For all-zero arrays, the first axis is trimmed first.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array((0, 0, 0, 1, 2, 3, 0, 2, 1, 0))
+    >>> np.trim_zeros(a)
+    array([1, 2, 3, 0, 2, 1])
+
+    >>> np.trim_zeros(a, trim='b')
+    array([0, 0, 0, ..., 0, 2, 1])
+
+    Multiple dimensions are supported.
+
+    >>> b = np.array([[0, 0, 2, 3, 0, 0],
+    ...               [0, 1, 0, 3, 0, 0],
+    ...               [0, 0, 0, 0, 0, 0]])
+    >>> np.trim_zeros(b)
+    array([[0, 2, 3],
+           [1, 0, 3]])
+
+    >>> np.trim_zeros(b, axis=-1)
+    array([[0, 2, 3],
+           [1, 0, 3],
+           [0, 0, 0]])
+
+    The input data type is preserved, list/tuple in means list/tuple out.
+
+    >>> np.trim_zeros([0, 1, 2, 0])
+    [1, 2]
+
+    """
+    filt_ = np.asarray(filt)
+
+    trim = trim.lower()
+    if trim not in {"fb", "bf", "f", "b"}:
+        raise ValueError(f"unexpected character(s) in `trim`: {trim!r}")
+
+    start, stop = _arg_trim_zeros(filt_)
+    stop += 1  # Adjust for slicing
+
+    if start.size == 0:
+        # filt is all-zero -> assign same values to start and stop so that
+        # resulting slice will be empty
+        start = stop = np.zeros(filt_.ndim, dtype=np.intp)
+    else:
+        if 'f' not in trim:
+            start = (None,) * filt_.ndim
+        if 'b' not in trim:
+            stop = (None,) * filt_.ndim
+
+    if len(start) == 1:
+        # filt is 1D -> don't use multi-dimensional slicing to preserve
+        # non-array input types
+        sl = slice(start[0], stop[0])
+    elif axis is None:
+        # trim all axes
+        sl = tuple(slice(*x) for x in zip(start, stop))
+    else:
+        # only trim single axis
+        axis = normalize_axis_index(axis, filt_.ndim)
+        sl = (slice(None),) * axis + (slice(start[axis], stop[axis]),) + (...,)
+
+    trimmed = filt[sl]
+    return trimmed
+
+
+
+def _extract_dispatcher(condition, arr):
+    return (condition, arr)
+
+
+@array_function_dispatch(_extract_dispatcher)
+def extract(condition, arr):
+    """
+    Return the elements of an array that satisfy some condition.
+
+    This is equivalent to ``np.compress(ravel(condition), ravel(arr))``.  If
+    `condition` is boolean ``np.extract`` is equivalent to ``arr[condition]``.
+
+    Note that `place` does the exact opposite of `extract`.
+
+    Parameters
+    ----------
+    condition : array_like
+        An array whose nonzero or True entries indicate the elements of `arr`
+        to extract.
+    arr : array_like
+        Input array of the same size as `condition`.
+
+    Returns
+    -------
+    extract : ndarray
+        Rank 1 array of values from `arr` where `condition` is True.
+
+    See Also
+    --------
+    take, put, copyto, compress, place
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = np.arange(12).reshape((3, 4))
+    >>> arr
+    array([[ 0,  1,  2,  3],
+           [ 4,  5,  6,  7],
+           [ 8,  9, 10, 11]])
+    >>> condition = np.mod(arr, 3)==0
+    >>> condition
+    array([[ True, False, False,  True],
+           [False, False,  True, False],
+           [False,  True, False, False]])
+    >>> np.extract(condition, arr)
+    array([0, 3, 6, 9])
+
+
+    If `condition` is boolean:
+
+    >>> arr[condition]
+    array([0, 3, 6, 9])
+
+    """
+    return _nx.take(ravel(arr), nonzero(ravel(condition))[0])
+
+
+def _place_dispatcher(arr, mask, vals):
+    return (arr, mask, vals)
+
+
+@array_function_dispatch(_place_dispatcher)
+def place(arr, mask, vals):
+    """
+    Change elements of an array based on conditional and input values.
+
+    Similar to ``np.copyto(arr, vals, where=mask)``, the difference is that
+    `place` uses the first N elements of `vals`, where N is the number of
+    True values in `mask`, while `copyto` uses the elements where `mask`
+    is True.
+
+    Note that `extract` does the exact opposite of `place`.
+
+    Parameters
+    ----------
+    arr : ndarray
+        Array to put data into.
+    mask : array_like
+        Boolean mask array. Must have the same size as `a`.
+    vals : 1-D sequence
+        Values to put into `a`. Only the first N elements are used, where
+        N is the number of True values in `mask`. If `vals` is smaller
+        than N, it will be repeated, and if elements of `a` are to be masked,
+        this sequence must be non-empty.
+
+    See Also
+    --------
+    copyto, put, take, extract
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = np.arange(6).reshape(2, 3)
+    >>> np.place(arr, arr>2, [44, 55])
+    >>> arr
+    array([[ 0,  1,  2],
+           [44, 55, 44]])
+
+    """
+    return _place(arr, mask, vals)
+
+
+def disp(mesg, device=None, linefeed=True):
+    """
+    Display a message on a device.
+
+    .. deprecated:: 2.0
+        Use your own printing function instead.
+
+    Parameters
+    ----------
+    mesg : str
+        Message to display.
+    device : object
+        Device to write message. If None, defaults to ``sys.stdout`` which is
+        very similar to ``print``. `device` needs to have ``write()`` and
+        ``flush()`` methods.
+    linefeed : bool, optional
+        Option whether to print a line feed or not. Defaults to True.
+
+    Raises
+    ------
+    AttributeError
+        If `device` does not have a ``write()`` or ``flush()`` method.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Besides ``sys.stdout``, a file-like object can also be used as it has
+    both required methods:
+
+    >>> from io import StringIO
+    >>> buf = StringIO()
+    >>> np.disp('"Display" in a file', device=buf)
+    >>> buf.getvalue()
+    '"Display" in a file\\n'
+
+    """
+
+    # Deprecated in NumPy 2.0, 2023-07-11
+    warnings.warn(
+        "`disp` is deprecated, "
+        "use your own printing function instead. "
+        "(deprecated in NumPy 2.0)",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    if device is None:
+        device = sys.stdout
+    if linefeed:
+        device.write('%s\n' % mesg)
+    else:
+        device.write('%s' % mesg)
+    device.flush()
+    return
+
+
+# See https://docs.scipy.org/doc/numpy/reference/c-api.generalized-ufuncs.html
+_DIMENSION_NAME = r'\w+'
+_CORE_DIMENSION_LIST = '(?:{0:}(?:,{0:})*)?'.format(_DIMENSION_NAME)
+_ARGUMENT = r'\({}\)'.format(_CORE_DIMENSION_LIST)
+_ARGUMENT_LIST = '{0:}(?:,{0:})*'.format(_ARGUMENT)
+_SIGNATURE = '^{0:}->{0:}$'.format(_ARGUMENT_LIST)
+
+
+def _parse_gufunc_signature(signature):
+    """
+    Parse string signatures for a generalized universal function.
+
+    Arguments
+    ---------
+    signature : string
+        Generalized universal function signature, e.g., ``(m,n),(n,p)->(m,p)``
+        for ``np.matmul``.
+
+    Returns
+    -------
+    Tuple of input and output core dimensions parsed from the signature, each
+    of the form List[Tuple[str, ...]].
+    """
+    signature = re.sub(r'\s+', '', signature)
+
+    if not re.match(_SIGNATURE, signature):
+        raise ValueError(
+            'not a valid gufunc signature: {}'.format(signature))
+    return tuple([tuple(re.findall(_DIMENSION_NAME, arg))
+                  for arg in re.findall(_ARGUMENT, arg_list)]
+                 for arg_list in signature.split('->'))
+
+
+def _update_dim_sizes(dim_sizes, arg, core_dims):
+    """
+    Incrementally check and update core dimension sizes for a single argument.
+
+    Arguments
+    ---------
+    dim_sizes : Dict[str, int]
+        Sizes of existing core dimensions. Will be updated in-place.
+    arg : ndarray
+        Argument to examine.
+    core_dims : Tuple[str, ...]
+        Core dimensions for this argument.
+    """
+    if not core_dims:
+        return
+
+    num_core_dims = len(core_dims)
+    if arg.ndim < num_core_dims:
+        raise ValueError(
+            '%d-dimensional argument does not have enough '
+            'dimensions for all core dimensions %r'
+            % (arg.ndim, core_dims))
+
+    core_shape = arg.shape[-num_core_dims:]
+    for dim, size in zip(core_dims, core_shape):
+        if dim in dim_sizes:
+            if size != dim_sizes[dim]:
+                raise ValueError(
+                    'inconsistent size for core dimension %r: %r vs %r'
+                    % (dim, size, dim_sizes[dim]))
+        else:
+            dim_sizes[dim] = size
+
+
+def _parse_input_dimensions(args, input_core_dims):
+    """
+    Parse broadcast and core dimensions for vectorize with a signature.
+
+    Arguments
+    ---------
+    args : Tuple[ndarray, ...]
+        Tuple of input arguments to examine.
+    input_core_dims : List[Tuple[str, ...]]
+        List of core dimensions corresponding to each input.
+
+    Returns
+    -------
+    broadcast_shape : Tuple[int, ...]
+        Common shape to broadcast all non-core dimensions to.
+    dim_sizes : Dict[str, int]
+        Common sizes for named core dimensions.
+    """
+    broadcast_args = []
+    dim_sizes = {}
+    for arg, core_dims in zip(args, input_core_dims):
+        _update_dim_sizes(dim_sizes, arg, core_dims)
+        ndim = arg.ndim - len(core_dims)
+        dummy_array = np.lib.stride_tricks.as_strided(0, arg.shape[:ndim])
+        broadcast_args.append(dummy_array)
+    broadcast_shape = np.lib._stride_tricks_impl._broadcast_shape(
+        *broadcast_args
+    )
+    return broadcast_shape, dim_sizes
+
+
+def _calculate_shapes(broadcast_shape, dim_sizes, list_of_core_dims):
+    """Helper for calculating broadcast shapes with core dimensions."""
+    return [broadcast_shape + tuple(dim_sizes[dim] for dim in core_dims)
+            for core_dims in list_of_core_dims]
+
+
+def _create_arrays(broadcast_shape, dim_sizes, list_of_core_dims, dtypes,
+                   results=None):
+    """Helper for creating output arrays in vectorize."""
+    shapes = _calculate_shapes(broadcast_shape, dim_sizes, list_of_core_dims)
+    if dtypes is None:
+        dtypes = [None] * len(shapes)
+    if results is None:
+        arrays = tuple(np.empty(shape=shape, dtype=dtype)
+                       for shape, dtype in zip(shapes, dtypes))
+    else:
+        arrays = tuple(np.empty_like(result, shape=shape, dtype=dtype)
+                       for result, shape, dtype
+                       in zip(results, shapes, dtypes))
+    return arrays
+
+
+def _get_vectorize_dtype(dtype):
+    if dtype.char in "SU":
+        return dtype.char
+    return dtype
+
+
+@set_module('numpy')
+class vectorize:
+    """
+    vectorize(pyfunc=np._NoValue, otypes=None, doc=None, excluded=None,
+    cache=False, signature=None)
+
+    Returns an object that acts like pyfunc, but takes arrays as input.
+
+    Define a vectorized function which takes a nested sequence of objects or
+    numpy arrays as inputs and returns a single numpy array or a tuple of numpy
+    arrays. The vectorized function evaluates `pyfunc` over successive tuples
+    of the input arrays like the python map function, except it uses the
+    broadcasting rules of numpy.
+
+    The data type of the output of `vectorized` is determined by calling
+    the function with the first element of the input.  This can be avoided
+    by specifying the `otypes` argument.
+
+    Parameters
+    ----------
+    pyfunc : callable, optional
+        A python function or method.
+        Can be omitted to produce a decorator with keyword arguments.
+    otypes : str or list of dtypes, optional
+        The output data type. It must be specified as either a string of
+        typecode characters or a list of data type specifiers. There should
+        be one data type specifier for each output.
+    doc : str, optional
+        The docstring for the function. If None, the docstring will be the
+        ``pyfunc.__doc__``.
+    excluded : set, optional
+        Set of strings or integers representing the positional or keyword
+        arguments for which the function will not be vectorized. These will be
+        passed directly to `pyfunc` unmodified.
+
+    cache : bool, optional
+        If `True`, then cache the first function call that determines the number
+        of outputs if `otypes` is not provided.
+
+    signature : string, optional
+        Generalized universal function signature, e.g., ``(m,n),(n)->(m)`` for
+        vectorized matrix-vector multiplication. If provided, ``pyfunc`` will
+        be called with (and expected to return) arrays with shapes given by the
+        size of corresponding core dimensions. By default, ``pyfunc`` is
+        assumed to take scalars as input and output.
+
+    Returns
+    -------
+    out : callable
+        A vectorized function if ``pyfunc`` was provided,
+        a decorator otherwise.
+
+    See Also
+    --------
+    frompyfunc : Takes an arbitrary Python function and returns a ufunc
+
+    Notes
+    -----
+    The `vectorize` function is provided primarily for convenience, not for
+    performance. The implementation is essentially a for loop.
+
+    If `otypes` is not specified, then a call to the function with the
+    first argument will be used to determine the number of outputs.  The
+    results of this call will be cached if `cache` is `True` to prevent
+    calling the function twice.  However, to implement the cache, the
+    original function must be wrapped which will slow down subsequent
+    calls, so only do this if your function is expensive.
+
+    The new keyword argument interface and `excluded` argument support
+    further degrades performance.
+
+    References
+    ----------
+    .. [1] :doc:`/reference/c-api/generalized-ufuncs`
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> def myfunc(a, b):
+    ...     "Return a-b if a>b, otherwise return a+b"
+    ...     if a > b:
+    ...         return a - b
+    ...     else:
+    ...         return a + b
+
+    >>> vfunc = np.vectorize(myfunc)
+    >>> vfunc([1, 2, 3, 4], 2)
+    array([3, 4, 1, 2])
+
+    The docstring is taken from the input function to `vectorize` unless it
+    is specified:
+
+    >>> vfunc.__doc__
+    'Return a-b if a>b, otherwise return a+b'
+    >>> vfunc = np.vectorize(myfunc, doc='Vectorized `myfunc`')
+    >>> vfunc.__doc__
+    'Vectorized `myfunc`'
+
+    The output type is determined by evaluating the first element of the input,
+    unless it is specified:
+
+    >>> out = vfunc([1, 2, 3, 4], 2)
+    >>> type(out[0])
+    
+    >>> vfunc = np.vectorize(myfunc, otypes=[float])
+    >>> out = vfunc([1, 2, 3, 4], 2)
+    >>> type(out[0])
+    
+
+    The `excluded` argument can be used to prevent vectorizing over certain
+    arguments.  This can be useful for array-like arguments of a fixed length
+    such as the coefficients for a polynomial as in `polyval`:
+
+    >>> def mypolyval(p, x):
+    ...     _p = list(p)
+    ...     res = _p.pop(0)
+    ...     while _p:
+    ...         res = res*x + _p.pop(0)
+    ...     return res
+
+    Here, we exclude the zeroth argument from vectorization whether it is
+    passed by position or keyword.
+
+    >>> vpolyval = np.vectorize(mypolyval, excluded={0, 'p'})
+    >>> vpolyval([1, 2, 3], x=[0, 1])
+    array([3, 6])
+    >>> vpolyval(p=[1, 2, 3], x=[0, 1])
+    array([3, 6])
+
+    The `signature` argument allows for vectorizing functions that act on
+    non-scalar arrays of fixed length. For example, you can use it for a
+    vectorized calculation of Pearson correlation coefficient and its p-value:
+
+    >>> import scipy.stats
+    >>> pearsonr = np.vectorize(scipy.stats.pearsonr,
+    ...                 signature='(n),(n)->(),()')
+    >>> pearsonr([[0, 1, 2, 3]], [[1, 2, 3, 4], [4, 3, 2, 1]])
+    (array([ 1., -1.]), array([ 0.,  0.]))
+
+    Or for a vectorized convolution:
+
+    >>> convolve = np.vectorize(np.convolve, signature='(n),(m)->(k)')
+    >>> convolve(np.eye(4), [1, 2, 1])
+    array([[1., 2., 1., 0., 0., 0.],
+           [0., 1., 2., 1., 0., 0.],
+           [0., 0., 1., 2., 1., 0.],
+           [0., 0., 0., 1., 2., 1.]])
+
+    Decorator syntax is supported.  The decorator can be called as
+    a function to provide keyword arguments:
+
+    >>> @np.vectorize
+    ... def identity(x):
+    ...     return x
+    ...
+    >>> identity([0, 1, 2])
+    array([0, 1, 2])
+    >>> @np.vectorize(otypes=[float])
+    ... def as_float(x):
+    ...     return x
+    ...
+    >>> as_float([0, 1, 2])
+    array([0., 1., 2.])
+    """
+    def __init__(self, pyfunc=np._NoValue, otypes=None, doc=None,
+                 excluded=None, cache=False, signature=None):
+
+        if (pyfunc != np._NoValue) and (not callable(pyfunc)):
+            #Splitting the error message to keep
+            #the length below 79 characters.
+            part1 = "When used as a decorator, "
+            part2 = "only accepts keyword arguments."
+            raise TypeError(part1 + part2)
+
+        self.pyfunc = pyfunc
+        self.cache = cache
+        self.signature = signature
+        if pyfunc != np._NoValue and hasattr(pyfunc, '__name__'):
+            self.__name__ = pyfunc.__name__
+
+        self._ufunc = {}    # Caching to improve default performance
+        self._doc = None
+        self.__doc__ = doc
+        if doc is None and hasattr(pyfunc, '__doc__'):
+            self.__doc__ = pyfunc.__doc__
+        else:
+            self._doc = doc
+
+        if isinstance(otypes, str):
+            for char in otypes:
+                if char not in typecodes['All']:
+                    raise ValueError("Invalid otype specified: %s" % (char,))
+        elif iterable(otypes):
+            otypes = [_get_vectorize_dtype(_nx.dtype(x)) for x in otypes]
+        elif otypes is not None:
+            raise ValueError("Invalid otype specification")
+        self.otypes = otypes
+
+        # Excluded variable support
+        if excluded is None:
+            excluded = set()
+        self.excluded = set(excluded)
+
+        if signature is not None:
+            self._in_and_out_core_dims = _parse_gufunc_signature(signature)
+        else:
+            self._in_and_out_core_dims = None
+
+    def _init_stage_2(self, pyfunc, *args, **kwargs):
+        self.__name__ = pyfunc.__name__
+        self.pyfunc = pyfunc
+        if self._doc is None:
+            self.__doc__ = pyfunc.__doc__
+        else:
+            self.__doc__ = self._doc
+
+    def _call_as_normal(self, *args, **kwargs):
+        """
+        Return arrays with the results of `pyfunc` broadcast (vectorized) over
+        `args` and `kwargs` not in `excluded`.
+        """
+        excluded = self.excluded
+        if not kwargs and not excluded:
+            func = self.pyfunc
+            vargs = args
+        else:
+            # The wrapper accepts only positional arguments: we use `names` and
+            # `inds` to mutate `the_args` and `kwargs` to pass to the original
+            # function.
+            nargs = len(args)
+
+            names = [_n for _n in kwargs if _n not in excluded]
+            inds = [_i for _i in range(nargs) if _i not in excluded]
+            the_args = list(args)
+
+            def func(*vargs):
+                for _n, _i in enumerate(inds):
+                    the_args[_i] = vargs[_n]
+                kwargs.update(zip(names, vargs[len(inds):]))
+                return self.pyfunc(*the_args, **kwargs)
+
+            vargs = [args[_i] for _i in inds]
+            vargs.extend([kwargs[_n] for _n in names])
+
+        return self._vectorize_call(func=func, args=vargs)
+
+    def __call__(self, *args, **kwargs):
+        if self.pyfunc is np._NoValue:
+            self._init_stage_2(*args, **kwargs)
+            return self
+
+        return self._call_as_normal(*args, **kwargs)
+
+    def _get_ufunc_and_otypes(self, func, args):
+        """Return (ufunc, otypes)."""
+        # frompyfunc will fail if args is empty
+        if not args:
+            raise ValueError('args can not be empty')
+
+        if self.otypes is not None:
+            otypes = self.otypes
+
+            # self._ufunc is a dictionary whose keys are the number of
+            # arguments (i.e. len(args)) and whose values are ufuncs created
+            # by frompyfunc. len(args) can be different for different calls if
+            # self.pyfunc has parameters with default values.  We only use the
+            # cache when func is self.pyfunc, which occurs when the call uses
+            # only positional arguments and no arguments are excluded.
+
+            nin = len(args)
+            nout = len(self.otypes)
+            if func is not self.pyfunc or nin not in self._ufunc:
+                ufunc = frompyfunc(func, nin, nout)
+            else:
+                ufunc = None  # We'll get it from self._ufunc
+            if func is self.pyfunc:
+                ufunc = self._ufunc.setdefault(nin, ufunc)
+        else:
+            # Get number of outputs and output types by calling the function on
+            # the first entries of args.  We also cache the result to prevent
+            # the subsequent call when the ufunc is evaluated.
+            # Assumes that ufunc first evaluates the 0th elements in the input
+            # arrays (the input values are not checked to ensure this)
+            args = [asarray(arg) for arg in args]
+            if builtins.any(arg.size == 0 for arg in args):
+                raise ValueError('cannot call `vectorize` on size 0 inputs '
+                                 'unless `otypes` is set')
+
+            inputs = [arg.flat[0] for arg in args]
+            outputs = func(*inputs)
+
+            # Performance note: profiling indicates that -- for simple
+            # functions at least -- this wrapping can almost double the
+            # execution time.
+            # Hence we make it optional.
+            if self.cache:
+                _cache = [outputs]
+
+                def _func(*vargs):
+                    if _cache:
+                        return _cache.pop()
+                    else:
+                        return func(*vargs)
+            else:
+                _func = func
+
+            if isinstance(outputs, tuple):
+                nout = len(outputs)
+            else:
+                nout = 1
+                outputs = (outputs,)
+
+            otypes = ''.join([asarray(outputs[_k]).dtype.char
+                              for _k in range(nout)])
+
+            # Performance note: profiling indicates that creating the ufunc is
+            # not a significant cost compared with wrapping so it seems not
+            # worth trying to cache this.
+            ufunc = frompyfunc(_func, len(args), nout)
+
+        return ufunc, otypes
+
+    def _vectorize_call(self, func, args):
+        """Vectorized call to `func` over positional `args`."""
+        if self.signature is not None:
+            res = self._vectorize_call_with_signature(func, args)
+        elif not args:
+            res = func()
+        else:
+            ufunc, otypes = self._get_ufunc_and_otypes(func=func, args=args)
+
+            # Convert args to object arrays first
+            inputs = [asanyarray(a, dtype=object) for a in args]
+
+            outputs = ufunc(*inputs)
+
+            if ufunc.nout == 1:
+                res = asanyarray(outputs, dtype=otypes[0])
+            else:
+                res = tuple([asanyarray(x, dtype=t)
+                             for x, t in zip(outputs, otypes)])
+        return res
+
+    def _vectorize_call_with_signature(self, func, args):
+        """Vectorized call over positional arguments with a signature."""
+        input_core_dims, output_core_dims = self._in_and_out_core_dims
+
+        if len(args) != len(input_core_dims):
+            raise TypeError('wrong number of positional arguments: '
+                            'expected %r, got %r'
+                            % (len(input_core_dims), len(args)))
+        args = tuple(asanyarray(arg) for arg in args)
+
+        broadcast_shape, dim_sizes = _parse_input_dimensions(
+            args, input_core_dims)
+        input_shapes = _calculate_shapes(broadcast_shape, dim_sizes,
+                                         input_core_dims)
+        args = [np.broadcast_to(arg, shape, subok=True)
+                for arg, shape in zip(args, input_shapes)]
+
+        outputs = None
+        otypes = self.otypes
+        nout = len(output_core_dims)
+
+        for index in np.ndindex(*broadcast_shape):
+            results = func(*(arg[index] for arg in args))
+
+            n_results = len(results) if isinstance(results, tuple) else 1
+
+            if nout != n_results:
+                raise ValueError(
+                    'wrong number of outputs from pyfunc: expected %r, got %r'
+                    % (nout, n_results))
+
+            if nout == 1:
+                results = (results,)
+
+            if outputs is None:
+                for result, core_dims in zip(results, output_core_dims):
+                    _update_dim_sizes(dim_sizes, result, core_dims)
+
+                outputs = _create_arrays(broadcast_shape, dim_sizes,
+                                         output_core_dims, otypes, results)
+
+            for output, result in zip(outputs, results):
+                output[index] = result
+
+        if outputs is None:
+            # did not call the function even once
+            if otypes is None:
+                raise ValueError('cannot call `vectorize` on size 0 inputs '
+                                 'unless `otypes` is set')
+            if builtins.any(dim not in dim_sizes
+                            for dims in output_core_dims
+                            for dim in dims):
+                raise ValueError('cannot call `vectorize` with a signature '
+                                 'including new output dimensions on size 0 '
+                                 'inputs')
+            outputs = _create_arrays(broadcast_shape, dim_sizes,
+                                     output_core_dims, otypes)
+
+        return outputs[0] if nout == 1 else outputs
+
+
+def _cov_dispatcher(m, y=None, rowvar=None, bias=None, ddof=None,
+                    fweights=None, aweights=None, *, dtype=None):
+    return (m, y, fweights, aweights)
+
+
+@array_function_dispatch(_cov_dispatcher)
+def cov(m, y=None, rowvar=True, bias=False, ddof=None, fweights=None,
+        aweights=None, *, dtype=None):
+    """
+    Estimate a covariance matrix, given data and weights.
+
+    Covariance indicates the level to which two variables vary together.
+    If we examine N-dimensional samples, :math:`X = [x_1, x_2, ... x_N]^T`,
+    then the covariance matrix element :math:`C_{ij}` is the covariance of
+    :math:`x_i` and :math:`x_j`. The element :math:`C_{ii}` is the variance
+    of :math:`x_i`.
+
+    See the notes for an outline of the algorithm.
+
+    Parameters
+    ----------
+    m : array_like
+        A 1-D or 2-D array containing multiple variables and observations.
+        Each row of `m` represents a variable, and each column a single
+        observation of all those variables. Also see `rowvar` below.
+    y : array_like, optional
+        An additional set of variables and observations. `y` has the same form
+        as that of `m`.
+    rowvar : bool, optional
+        If `rowvar` is True (default), then each row represents a
+        variable, with observations in the columns. Otherwise, the relationship
+        is transposed: each column represents a variable, while the rows
+        contain observations.
+    bias : bool, optional
+        Default normalization (False) is by ``(N - 1)``, where ``N`` is the
+        number of observations given (unbiased estimate). If `bias` is True,
+        then normalization is by ``N``. These values can be overridden by using
+        the keyword ``ddof`` in numpy versions >= 1.5.
+    ddof : int, optional
+        If not ``None`` the default value implied by `bias` is overridden.
+        Note that ``ddof=1`` will return the unbiased estimate, even if both
+        `fweights` and `aweights` are specified, and ``ddof=0`` will return
+        the simple average. See the notes for the details. The default value
+        is ``None``.
+    fweights : array_like, int, optional
+        1-D array of integer frequency weights; the number of times each
+        observation vector should be repeated.
+    aweights : array_like, optional
+        1-D array of observation vector weights. These relative weights are
+        typically large for observations considered "important" and smaller for
+        observations considered less "important". If ``ddof=0`` the array of
+        weights can be used to assign probabilities to observation vectors.
+    dtype : data-type, optional
+        Data-type of the result. By default, the return data-type will have
+        at least `numpy.float64` precision.
+
+        .. versionadded:: 1.20
+
+    Returns
+    -------
+    out : ndarray
+        The covariance matrix of the variables.
+
+    See Also
+    --------
+    corrcoef : Normalized covariance matrix
+
+    Notes
+    -----
+    Assume that the observations are in the columns of the observation
+    array `m` and let ``f = fweights`` and ``a = aweights`` for brevity. The
+    steps to compute the weighted covariance are as follows::
+
+        >>> m = np.arange(10, dtype=np.float64)
+        >>> f = np.arange(10) * 2
+        >>> a = np.arange(10) ** 2.
+        >>> ddof = 1
+        >>> w = f * a
+        >>> v1 = np.sum(w)
+        >>> v2 = np.sum(w * a)
+        >>> m -= np.sum(m * w, axis=None, keepdims=True) / v1
+        >>> cov = np.dot(m * w, m.T) * v1 / (v1**2 - ddof * v2)
+
+    Note that when ``a == 1``, the normalization factor
+    ``v1 / (v1**2 - ddof * v2)`` goes over to ``1 / (np.sum(f) - ddof)``
+    as it should.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Consider two variables, :math:`x_0` and :math:`x_1`, which
+    correlate perfectly, but in opposite directions:
+
+    >>> x = np.array([[0, 2], [1, 1], [2, 0]]).T
+    >>> x
+    array([[0, 1, 2],
+           [2, 1, 0]])
+
+    Note how :math:`x_0` increases while :math:`x_1` decreases. The covariance
+    matrix shows this clearly:
+
+    >>> np.cov(x)
+    array([[ 1., -1.],
+           [-1.,  1.]])
+
+    Note that element :math:`C_{0,1}`, which shows the correlation between
+    :math:`x_0` and :math:`x_1`, is negative.
+
+    Further, note how `x` and `y` are combined:
+
+    >>> x = [-2.1, -1,  4.3]
+    >>> y = [3,  1.1,  0.12]
+    >>> X = np.stack((x, y), axis=0)
+    >>> np.cov(X)
+    array([[11.71      , -4.286     ], # may vary
+           [-4.286     ,  2.144133]])
+    >>> np.cov(x, y)
+    array([[11.71      , -4.286     ], # may vary
+           [-4.286     ,  2.144133]])
+    >>> np.cov(x)
+    array(11.71)
+
+    """
+    # Check inputs
+    if ddof is not None and ddof != int(ddof):
+        raise ValueError(
+            "ddof must be integer")
+
+    # Handles complex arrays too
+    m = np.asarray(m)
+    if m.ndim > 2:
+        raise ValueError("m has more than 2 dimensions")
+
+    if y is not None:
+        y = np.asarray(y)
+        if y.ndim > 2:
+            raise ValueError("y has more than 2 dimensions")
+
+    if dtype is None:
+        if y is None:
+            dtype = np.result_type(m, np.float64)
+        else:
+            dtype = np.result_type(m, y, np.float64)
+
+    X = array(m, ndmin=2, dtype=dtype)
+    if not rowvar and m.ndim != 1:
+        X = X.T
+    if X.shape[0] == 0:
+        return np.array([]).reshape(0, 0)
+    if y is not None:
+        y = array(y, copy=None, ndmin=2, dtype=dtype)
+        if not rowvar and y.shape[0] != 1:
+            y = y.T
+        X = np.concatenate((X, y), axis=0)
+
+    if ddof is None:
+        if bias == 0:
+            ddof = 1
+        else:
+            ddof = 0
+
+    # Get the product of frequencies and weights
+    w = None
+    if fweights is not None:
+        fweights = np.asarray(fweights, dtype=float)
+        if not np.all(fweights == np.around(fweights)):
+            raise TypeError(
+                "fweights must be integer")
+        if fweights.ndim > 1:
+            raise RuntimeError(
+                "cannot handle multidimensional fweights")
+        if fweights.shape[0] != X.shape[1]:
+            raise RuntimeError(
+                "incompatible numbers of samples and fweights")
+        if any(fweights < 0):
+            raise ValueError(
+                "fweights cannot be negative")
+        w = fweights
+    if aweights is not None:
+        aweights = np.asarray(aweights, dtype=float)
+        if aweights.ndim > 1:
+            raise RuntimeError(
+                "cannot handle multidimensional aweights")
+        if aweights.shape[0] != X.shape[1]:
+            raise RuntimeError(
+                "incompatible numbers of samples and aweights")
+        if any(aweights < 0):
+            raise ValueError(
+                "aweights cannot be negative")
+        if w is None:
+            w = aweights
+        else:
+            w *= aweights
+
+    avg, w_sum = average(X, axis=1, weights=w, returned=True)
+    w_sum = w_sum[0]
+
+    # Determine the normalization
+    if w is None:
+        fact = X.shape[1] - ddof
+    elif ddof == 0:
+        fact = w_sum
+    elif aweights is None:
+        fact = w_sum - ddof
+    else:
+        fact = w_sum - ddof*sum(w*aweights)/w_sum
+
+    if fact <= 0:
+        warnings.warn("Degrees of freedom <= 0 for slice",
+                      RuntimeWarning, stacklevel=2)
+        fact = 0.0
+
+    X -= avg[:, None]
+    if w is None:
+        X_T = X.T
+    else:
+        X_T = (X*w).T
+    c = dot(X, X_T.conj())
+    c *= np.true_divide(1, fact)
+    return c.squeeze()
+
+
+def _corrcoef_dispatcher(x, y=None, rowvar=None, bias=None, ddof=None, *,
+                         dtype=None):
+    return (x, y)
+
+
+@array_function_dispatch(_corrcoef_dispatcher)
+def corrcoef(x, y=None, rowvar=True, bias=np._NoValue, ddof=np._NoValue, *,
+             dtype=None):
+    """
+    Return Pearson product-moment correlation coefficients.
+
+    Please refer to the documentation for `cov` for more detail.  The
+    relationship between the correlation coefficient matrix, `R`, and the
+    covariance matrix, `C`, is
+
+    .. math:: R_{ij} = \\frac{ C_{ij} } { \\sqrt{ C_{ii} C_{jj} } }
+
+    The values of `R` are between -1 and 1, inclusive.
+
+    Parameters
+    ----------
+    x : array_like
+        A 1-D or 2-D array containing multiple variables and observations.
+        Each row of `x` represents a variable, and each column a single
+        observation of all those variables. Also see `rowvar` below.
+    y : array_like, optional
+        An additional set of variables and observations. `y` has the same
+        shape as `x`.
+    rowvar : bool, optional
+        If `rowvar` is True (default), then each row represents a
+        variable, with observations in the columns. Otherwise, the relationship
+        is transposed: each column represents a variable, while the rows
+        contain observations.
+    bias : _NoValue, optional
+        Has no effect, do not use.
+
+        .. deprecated:: 1.10.0
+    ddof : _NoValue, optional
+        Has no effect, do not use.
+
+        .. deprecated:: 1.10.0
+    dtype : data-type, optional
+        Data-type of the result. By default, the return data-type will have
+        at least `numpy.float64` precision.
+
+        .. versionadded:: 1.20
+
+    Returns
+    -------
+    R : ndarray
+        The correlation coefficient matrix of the variables.
+
+    See Also
+    --------
+    cov : Covariance matrix
+
+    Notes
+    -----
+    Due to floating point rounding the resulting array may not be Hermitian,
+    the diagonal elements may not be 1, and the elements may not satisfy the
+    inequality abs(a) <= 1. The real and imaginary parts are clipped to the
+    interval [-1,  1] in an attempt to improve on that situation but is not
+    much help in the complex case.
+
+    This function accepts but discards arguments `bias` and `ddof`.  This is
+    for backwards compatibility with previous versions of this function.  These
+    arguments had no effect on the return values of the function and can be
+    safely ignored in this and previous versions of numpy.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    In this example we generate two random arrays, ``xarr`` and ``yarr``, and
+    compute the row-wise and column-wise Pearson correlation coefficients,
+    ``R``. Since ``rowvar`` is  true by  default, we first find the row-wise
+    Pearson correlation coefficients between the variables of ``xarr``.
+
+    >>> import numpy as np
+    >>> rng = np.random.default_rng(seed=42)
+    >>> xarr = rng.random((3, 3))
+    >>> xarr
+    array([[0.77395605, 0.43887844, 0.85859792],
+           [0.69736803, 0.09417735, 0.97562235],
+           [0.7611397 , 0.78606431, 0.12811363]])
+    >>> R1 = np.corrcoef(xarr)
+    >>> R1
+    array([[ 1.        ,  0.99256089, -0.68080986],
+           [ 0.99256089,  1.        , -0.76492172],
+           [-0.68080986, -0.76492172,  1.        ]])
+
+    If we add another set of variables and observations ``yarr``, we can
+    compute the row-wise Pearson correlation coefficients between the
+    variables in ``xarr`` and ``yarr``.
+
+    >>> yarr = rng.random((3, 3))
+    >>> yarr
+    array([[0.45038594, 0.37079802, 0.92676499],
+           [0.64386512, 0.82276161, 0.4434142 ],
+           [0.22723872, 0.55458479, 0.06381726]])
+    >>> R2 = np.corrcoef(xarr, yarr)
+    >>> R2
+    array([[ 1.        ,  0.99256089, -0.68080986,  0.75008178, -0.934284  ,
+            -0.99004057],
+           [ 0.99256089,  1.        , -0.76492172,  0.82502011, -0.97074098,
+            -0.99981569],
+           [-0.68080986, -0.76492172,  1.        , -0.99507202,  0.89721355,
+             0.77714685],
+           [ 0.75008178,  0.82502011, -0.99507202,  1.        , -0.93657855,
+            -0.83571711],
+           [-0.934284  , -0.97074098,  0.89721355, -0.93657855,  1.        ,
+             0.97517215],
+           [-0.99004057, -0.99981569,  0.77714685, -0.83571711,  0.97517215,
+             1.        ]])
+
+    Finally if we use the option ``rowvar=False``, the columns are now
+    being treated as the variables and we will find the column-wise Pearson
+    correlation coefficients between variables in ``xarr`` and ``yarr``.
+
+    >>> R3 = np.corrcoef(xarr, yarr, rowvar=False)
+    >>> R3
+    array([[ 1.        ,  0.77598074, -0.47458546, -0.75078643, -0.9665554 ,
+             0.22423734],
+           [ 0.77598074,  1.        , -0.92346708, -0.99923895, -0.58826587,
+            -0.44069024],
+           [-0.47458546, -0.92346708,  1.        ,  0.93773029,  0.23297648,
+             0.75137473],
+           [-0.75078643, -0.99923895,  0.93773029,  1.        ,  0.55627469,
+             0.47536961],
+           [-0.9665554 , -0.58826587,  0.23297648,  0.55627469,  1.        ,
+            -0.46666491],
+           [ 0.22423734, -0.44069024,  0.75137473,  0.47536961, -0.46666491,
+             1.        ]])
+
+    """
+    if bias is not np._NoValue or ddof is not np._NoValue:
+        # 2015-03-15, 1.10
+        warnings.warn('bias and ddof have no effect and are deprecated',
+                      DeprecationWarning, stacklevel=2)
+    c = cov(x, y, rowvar, dtype=dtype)
+    try:
+        d = diag(c)
+    except ValueError:
+        # scalar covariance
+        # nan if incorrect value (nan, inf, 0), 1 otherwise
+        return c / c
+    stddev = sqrt(d.real)
+    c /= stddev[:, None]
+    c /= stddev[None, :]
+
+    # Clip real and imaginary parts to [-1, 1].  This does not guarantee
+    # abs(a[i,j]) <= 1 for complex arrays, but is the best we can do without
+    # excessive work.
+    np.clip(c.real, -1, 1, out=c.real)
+    if np.iscomplexobj(c):
+        np.clip(c.imag, -1, 1, out=c.imag)
+
+    return c
+
+
+@set_module('numpy')
+def blackman(M):
+    """
+    Return the Blackman window.
+
+    The Blackman window is a taper formed by using the first three
+    terms of a summation of cosines. It was designed to have close to the
+    minimal leakage possible.  It is close to optimal, only slightly worse
+    than a Kaiser window.
+
+    Parameters
+    ----------
+    M : int
+        Number of points in the output window. If zero or less, an empty
+        array is returned.
+
+    Returns
+    -------
+    out : ndarray
+        The window, with the maximum value normalized to one (the value one
+        appears only if the number of samples is odd).
+
+    See Also
+    --------
+    bartlett, hamming, hanning, kaiser
+
+    Notes
+    -----
+    The Blackman window is defined as
+
+    .. math::  w(n) = 0.42 - 0.5 \\cos(2\\pi n/M) + 0.08 \\cos(4\\pi n/M)
+
+    Most references to the Blackman window come from the signal processing
+    literature, where it is used as one of many windowing functions for
+    smoothing values.  It is also known as an apodization (which means
+    "removing the foot", i.e. smoothing discontinuities at the beginning
+    and end of the sampled signal) or tapering function. It is known as a
+    "near optimal" tapering function, almost as good (by some measures)
+    as the kaiser window.
+
+    References
+    ----------
+    Blackman, R.B. and Tukey, J.W., (1958) The measurement of power spectra,
+    Dover Publications, New York.
+
+    Oppenheim, A.V., and R.W. Schafer. Discrete-Time Signal Processing.
+    Upper Saddle River, NJ: Prentice-Hall, 1999, pp. 468-471.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import matplotlib.pyplot as plt
+    >>> np.blackman(12)
+    array([-1.38777878e-17,   3.26064346e-02,   1.59903635e-01, # may vary
+            4.14397981e-01,   7.36045180e-01,   9.67046769e-01,
+            9.67046769e-01,   7.36045180e-01,   4.14397981e-01,
+            1.59903635e-01,   3.26064346e-02,  -1.38777878e-17])
+
+    Plot the window and the frequency response.
+
+    .. plot::
+        :include-source:
+
+        import matplotlib.pyplot as plt
+        from numpy.fft import fft, fftshift
+        window = np.blackman(51)
+        plt.plot(window)
+        plt.title("Blackman window")
+        plt.ylabel("Amplitude")
+        plt.xlabel("Sample")
+        plt.show()  # doctest: +SKIP
+
+        plt.figure()
+        A = fft(window, 2048) / 25.5
+        mag = np.abs(fftshift(A))
+        freq = np.linspace(-0.5, 0.5, len(A))
+        with np.errstate(divide='ignore', invalid='ignore'):
+            response = 20 * np.log10(mag)
+        response = np.clip(response, -100, 100)
+        plt.plot(freq, response)
+        plt.title("Frequency response of Blackman window")
+        plt.ylabel("Magnitude [dB]")
+        plt.xlabel("Normalized frequency [cycles per sample]")
+        plt.axis('tight')
+        plt.show()
+
+    """
+    # Ensures at least float64 via 0.0.  M should be an integer, but conversion
+    # to double is safe for a range.
+    values = np.array([0.0, M])
+    M = values[1]
+
+    if M < 1:
+        return array([], dtype=values.dtype)
+    if M == 1:
+        return ones(1, dtype=values.dtype)
+    n = arange(1-M, M, 2)
+    return 0.42 + 0.5*cos(pi*n/(M-1)) + 0.08*cos(2.0*pi*n/(M-1))
+
+
+@set_module('numpy')
+def bartlett(M):
+    """
+    Return the Bartlett window.
+
+    The Bartlett window is very similar to a triangular window, except
+    that the end points are at zero.  It is often used in signal
+    processing for tapering a signal, without generating too much
+    ripple in the frequency domain.
+
+    Parameters
+    ----------
+    M : int
+        Number of points in the output window. If zero or less, an
+        empty array is returned.
+
+    Returns
+    -------
+    out : array
+        The triangular window, with the maximum value normalized to one
+        (the value one appears only if the number of samples is odd), with
+        the first and last samples equal to zero.
+
+    See Also
+    --------
+    blackman, hamming, hanning, kaiser
+
+    Notes
+    -----
+    The Bartlett window is defined as
+
+    .. math:: w(n) = \\frac{2}{M-1} \\left(
+              \\frac{M-1}{2} - \\left|n - \\frac{M-1}{2}\\right|
+              \\right)
+
+    Most references to the Bartlett window come from the signal processing
+    literature, where it is used as one of many windowing functions for
+    smoothing values.  Note that convolution with this window produces linear
+    interpolation.  It is also known as an apodization (which means "removing
+    the foot", i.e. smoothing discontinuities at the beginning and end of the
+    sampled signal) or tapering function. The Fourier transform of the
+    Bartlett window is the product of two sinc functions. Note the excellent
+    discussion in Kanasewich [2]_.
+
+    References
+    ----------
+    .. [1] M.S. Bartlett, "Periodogram Analysis and Continuous Spectra",
+           Biometrika 37, 1-16, 1950.
+    .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics",
+           The University of Alberta Press, 1975, pp. 109-110.
+    .. [3] A.V. Oppenheim and R.W. Schafer, "Discrete-Time Signal
+           Processing", Prentice-Hall, 1999, pp. 468-471.
+    .. [4] Wikipedia, "Window function",
+           https://en.wikipedia.org/wiki/Window_function
+    .. [5] W.H. Press,  B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling,
+           "Numerical Recipes", Cambridge University Press, 1986, page 429.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import matplotlib.pyplot as plt
+    >>> np.bartlett(12)
+    array([ 0.        ,  0.18181818,  0.36363636,  0.54545455,  0.72727273, # may vary
+            0.90909091,  0.90909091,  0.72727273,  0.54545455,  0.36363636,
+            0.18181818,  0.        ])
+
+    Plot the window and its frequency response (requires SciPy and matplotlib).
+
+    .. plot::
+        :include-source:
+
+        import matplotlib.pyplot as plt
+        from numpy.fft import fft, fftshift
+        window = np.bartlett(51)
+        plt.plot(window)
+        plt.title("Bartlett window")
+        plt.ylabel("Amplitude")
+        plt.xlabel("Sample")
+        plt.show()
+        plt.figure()
+        A = fft(window, 2048) / 25.5
+        mag = np.abs(fftshift(A))
+        freq = np.linspace(-0.5, 0.5, len(A))
+        with np.errstate(divide='ignore', invalid='ignore'):
+            response = 20 * np.log10(mag)
+        response = np.clip(response, -100, 100)
+        plt.plot(freq, response)
+        plt.title("Frequency response of Bartlett window")
+        plt.ylabel("Magnitude [dB]")
+        plt.xlabel("Normalized frequency [cycles per sample]")
+        plt.axis('tight')
+        plt.show()
+
+    """
+    # Ensures at least float64 via 0.0.  M should be an integer, but conversion
+    # to double is safe for a range.
+    values = np.array([0.0, M])
+    M = values[1]
+
+    if M < 1:
+        return array([], dtype=values.dtype)
+    if M == 1:
+        return ones(1, dtype=values.dtype)
+    n = arange(1-M, M, 2)
+    return where(less_equal(n, 0), 1 + n/(M-1), 1 - n/(M-1))
+
+
+@set_module('numpy')
+def hanning(M):
+    """
+    Return the Hanning window.
+
+    The Hanning window is a taper formed by using a weighted cosine.
+
+    Parameters
+    ----------
+    M : int
+        Number of points in the output window. If zero or less, an
+        empty array is returned.
+
+    Returns
+    -------
+    out : ndarray, shape(M,)
+        The window, with the maximum value normalized to one (the value
+        one appears only if `M` is odd).
+
+    See Also
+    --------
+    bartlett, blackman, hamming, kaiser
+
+    Notes
+    -----
+    The Hanning window is defined as
+
+    .. math::  w(n) = 0.5 - 0.5\\cos\\left(\\frac{2\\pi{n}}{M-1}\\right)
+               \\qquad 0 \\leq n \\leq M-1
+
+    The Hanning was named for Julius von Hann, an Austrian meteorologist.
+    It is also known as the Cosine Bell. Some authors prefer that it be
+    called a Hann window, to help avoid confusion with the very similar
+    Hamming window.
+
+    Most references to the Hanning window come from the signal processing
+    literature, where it is used as one of many windowing functions for
+    smoothing values.  It is also known as an apodization (which means
+    "removing the foot", i.e. smoothing discontinuities at the beginning
+    and end of the sampled signal) or tapering function.
+
+    References
+    ----------
+    .. [1] Blackman, R.B. and Tukey, J.W., (1958) The measurement of power
+           spectra, Dover Publications, New York.
+    .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics",
+           The University of Alberta Press, 1975, pp. 106-108.
+    .. [3] Wikipedia, "Window function",
+           https://en.wikipedia.org/wiki/Window_function
+    .. [4] W.H. Press,  B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling,
+           "Numerical Recipes", Cambridge University Press, 1986, page 425.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.hanning(12)
+    array([0.        , 0.07937323, 0.29229249, 0.57115742, 0.82743037,
+           0.97974649, 0.97974649, 0.82743037, 0.57115742, 0.29229249,
+           0.07937323, 0.        ])
+
+    Plot the window and its frequency response.
+
+    .. plot::
+        :include-source:
+
+        import matplotlib.pyplot as plt
+        from numpy.fft import fft, fftshift
+        window = np.hanning(51)
+        plt.plot(window)
+        plt.title("Hann window")
+        plt.ylabel("Amplitude")
+        plt.xlabel("Sample")
+        plt.show()
+
+        plt.figure()
+        A = fft(window, 2048) / 25.5
+        mag = np.abs(fftshift(A))
+        freq = np.linspace(-0.5, 0.5, len(A))
+        with np.errstate(divide='ignore', invalid='ignore'):
+            response = 20 * np.log10(mag)
+        response = np.clip(response, -100, 100)
+        plt.plot(freq, response)
+        plt.title("Frequency response of the Hann window")
+        plt.ylabel("Magnitude [dB]")
+        plt.xlabel("Normalized frequency [cycles per sample]")
+        plt.axis('tight')
+        plt.show()
+
+    """
+    # Ensures at least float64 via 0.0.  M should be an integer, but conversion
+    # to double is safe for a range.
+    values = np.array([0.0, M])
+    M = values[1]
+
+    if M < 1:
+        return array([], dtype=values.dtype)
+    if M == 1:
+        return ones(1, dtype=values.dtype)
+    n = arange(1-M, M, 2)
+    return 0.5 + 0.5*cos(pi*n/(M-1))
+
+
+@set_module('numpy')
+def hamming(M):
+    """
+    Return the Hamming window.
+
+    The Hamming window is a taper formed by using a weighted cosine.
+
+    Parameters
+    ----------
+    M : int
+        Number of points in the output window. If zero or less, an
+        empty array is returned.
+
+    Returns
+    -------
+    out : ndarray
+        The window, with the maximum value normalized to one (the value
+        one appears only if the number of samples is odd).
+
+    See Also
+    --------
+    bartlett, blackman, hanning, kaiser
+
+    Notes
+    -----
+    The Hamming window is defined as
+
+    .. math::  w(n) = 0.54 - 0.46\\cos\\left(\\frac{2\\pi{n}}{M-1}\\right)
+               \\qquad 0 \\leq n \\leq M-1
+
+    The Hamming was named for R. W. Hamming, an associate of J. W. Tukey
+    and is described in Blackman and Tukey. It was recommended for
+    smoothing the truncated autocovariance function in the time domain.
+    Most references to the Hamming window come from the signal processing
+    literature, where it is used as one of many windowing functions for
+    smoothing values.  It is also known as an apodization (which means
+    "removing the foot", i.e. smoothing discontinuities at the beginning
+    and end of the sampled signal) or tapering function.
+
+    References
+    ----------
+    .. [1] Blackman, R.B. and Tukey, J.W., (1958) The measurement of power
+           spectra, Dover Publications, New York.
+    .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics", The
+           University of Alberta Press, 1975, pp. 109-110.
+    .. [3] Wikipedia, "Window function",
+           https://en.wikipedia.org/wiki/Window_function
+    .. [4] W.H. Press,  B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling,
+           "Numerical Recipes", Cambridge University Press, 1986, page 425.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.hamming(12)
+    array([ 0.08      ,  0.15302337,  0.34890909,  0.60546483,  0.84123594, # may vary
+            0.98136677,  0.98136677,  0.84123594,  0.60546483,  0.34890909,
+            0.15302337,  0.08      ])
+
+    Plot the window and the frequency response.
+
+    .. plot::
+        :include-source:
+
+        import matplotlib.pyplot as plt
+        from numpy.fft import fft, fftshift
+        window = np.hamming(51)
+        plt.plot(window)
+        plt.title("Hamming window")
+        plt.ylabel("Amplitude")
+        plt.xlabel("Sample")
+        plt.show()
+
+        plt.figure()
+        A = fft(window, 2048) / 25.5
+        mag = np.abs(fftshift(A))
+        freq = np.linspace(-0.5, 0.5, len(A))
+        response = 20 * np.log10(mag)
+        response = np.clip(response, -100, 100)
+        plt.plot(freq, response)
+        plt.title("Frequency response of Hamming window")
+        plt.ylabel("Magnitude [dB]")
+        plt.xlabel("Normalized frequency [cycles per sample]")
+        plt.axis('tight')
+        plt.show()
+
+    """
+    # Ensures at least float64 via 0.0.  M should be an integer, but conversion
+    # to double is safe for a range.
+    values = np.array([0.0, M])
+    M = values[1]
+
+    if M < 1:
+        return array([], dtype=values.dtype)
+    if M == 1:
+        return ones(1, dtype=values.dtype)
+    n = arange(1-M, M, 2)
+    return 0.54 + 0.46*cos(pi*n/(M-1))
+
+
+## Code from cephes for i0
+
+_i0A = [
+    -4.41534164647933937950E-18,
+    3.33079451882223809783E-17,
+    -2.43127984654795469359E-16,
+    1.71539128555513303061E-15,
+    -1.16853328779934516808E-14,
+    7.67618549860493561688E-14,
+    -4.85644678311192946090E-13,
+    2.95505266312963983461E-12,
+    -1.72682629144155570723E-11,
+    9.67580903537323691224E-11,
+    -5.18979560163526290666E-10,
+    2.65982372468238665035E-9,
+    -1.30002500998624804212E-8,
+    6.04699502254191894932E-8,
+    -2.67079385394061173391E-7,
+    1.11738753912010371815E-6,
+    -4.41673835845875056359E-6,
+    1.64484480707288970893E-5,
+    -5.75419501008210370398E-5,
+    1.88502885095841655729E-4,
+    -5.76375574538582365885E-4,
+    1.63947561694133579842E-3,
+    -4.32430999505057594430E-3,
+    1.05464603945949983183E-2,
+    -2.37374148058994688156E-2,
+    4.93052842396707084878E-2,
+    -9.49010970480476444210E-2,
+    1.71620901522208775349E-1,
+    -3.04682672343198398683E-1,
+    6.76795274409476084995E-1
+    ]
+
+_i0B = [
+    -7.23318048787475395456E-18,
+    -4.83050448594418207126E-18,
+    4.46562142029675999901E-17,
+    3.46122286769746109310E-17,
+    -2.82762398051658348494E-16,
+    -3.42548561967721913462E-16,
+    1.77256013305652638360E-15,
+    3.81168066935262242075E-15,
+    -9.55484669882830764870E-15,
+    -4.15056934728722208663E-14,
+    1.54008621752140982691E-14,
+    3.85277838274214270114E-13,
+    7.18012445138366623367E-13,
+    -1.79417853150680611778E-12,
+    -1.32158118404477131188E-11,
+    -3.14991652796324136454E-11,
+    1.18891471078464383424E-11,
+    4.94060238822496958910E-10,
+    3.39623202570838634515E-9,
+    2.26666899049817806459E-8,
+    2.04891858946906374183E-7,
+    2.89137052083475648297E-6,
+    6.88975834691682398426E-5,
+    3.36911647825569408990E-3,
+    8.04490411014108831608E-1
+    ]
+
+
+def _chbevl(x, vals):
+    b0 = vals[0]
+    b1 = 0.0
+
+    for i in range(1, len(vals)):
+        b2 = b1
+        b1 = b0
+        b0 = x*b1 - b2 + vals[i]
+
+    return 0.5*(b0 - b2)
+
+
+def _i0_1(x):
+    return exp(x) * _chbevl(x/2.0-2, _i0A)
+
+
+def _i0_2(x):
+    return exp(x) * _chbevl(32.0/x - 2.0, _i0B) / sqrt(x)
+
+
+def _i0_dispatcher(x):
+    return (x,)
+
+
+@array_function_dispatch(_i0_dispatcher)
+def i0(x):
+    """
+    Modified Bessel function of the first kind, order 0.
+
+    Usually denoted :math:`I_0`.
+
+    Parameters
+    ----------
+    x : array_like of float
+        Argument of the Bessel function.
+
+    Returns
+    -------
+    out : ndarray, shape = x.shape, dtype = float
+        The modified Bessel function evaluated at each of the elements of `x`.
+
+    See Also
+    --------
+    scipy.special.i0, scipy.special.iv, scipy.special.ive
+
+    Notes
+    -----
+    The scipy implementation is recommended over this function: it is a
+    proper ufunc written in C, and more than an order of magnitude faster.
+
+    We use the algorithm published by Clenshaw [1]_ and referenced by
+    Abramowitz and Stegun [2]_, for which the function domain is
+    partitioned into the two intervals [0,8] and (8,inf), and Chebyshev
+    polynomial expansions are employed in each interval. Relative error on
+    the domain [0,30] using IEEE arithmetic is documented [3]_ as having a
+    peak of 5.8e-16 with an rms of 1.4e-16 (n = 30000).
+
+    References
+    ----------
+    .. [1] C. W. Clenshaw, "Chebyshev series for mathematical functions", in
+           *National Physical Laboratory Mathematical Tables*, vol. 5, London:
+           Her Majesty's Stationery Office, 1962.
+    .. [2] M. Abramowitz and I. A. Stegun, *Handbook of Mathematical
+           Functions*, 10th printing, New York: Dover, 1964, pp. 379.
+           https://personal.math.ubc.ca/~cbm/aands/page_379.htm
+    .. [3] https://metacpan.org/pod/distribution/Math-Cephes/lib/Math/Cephes.pod#i0:-Modified-Bessel-function-of-order-zero
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.i0(0.)
+    array(1.0)
+    >>> np.i0([0, 1, 2, 3])
+    array([1.        , 1.26606588, 2.2795853 , 4.88079259])
+
+    """
+    x = np.asanyarray(x)
+    if x.dtype.kind == 'c':
+        raise TypeError("i0 not supported for complex values")
+    if x.dtype.kind != 'f':
+        x = x.astype(float)
+    x = np.abs(x)
+    return piecewise(x, [x <= 8.0], [_i0_1, _i0_2])
+
+## End of cephes code for i0
+
+
+@set_module('numpy')
+def kaiser(M, beta):
+    """
+    Return the Kaiser window.
+
+    The Kaiser window is a taper formed by using a Bessel function.
+
+    Parameters
+    ----------
+    M : int
+        Number of points in the output window. If zero or less, an
+        empty array is returned.
+    beta : float
+        Shape parameter for window.
+
+    Returns
+    -------
+    out : array
+        The window, with the maximum value normalized to one (the value
+        one appears only if the number of samples is odd).
+
+    See Also
+    --------
+    bartlett, blackman, hamming, hanning
+
+    Notes
+    -----
+    The Kaiser window is defined as
+
+    .. math::  w(n) = I_0\\left( \\beta \\sqrt{1-\\frac{4n^2}{(M-1)^2}}
+               \\right)/I_0(\\beta)
+
+    with
+
+    .. math:: \\quad -\\frac{M-1}{2} \\leq n \\leq \\frac{M-1}{2},
+
+    where :math:`I_0` is the modified zeroth-order Bessel function.
+
+    The Kaiser was named for Jim Kaiser, who discovered a simple
+    approximation to the DPSS window based on Bessel functions.  The Kaiser
+    window is a very good approximation to the Digital Prolate Spheroidal
+    Sequence, or Slepian window, which is the transform which maximizes the
+    energy in the main lobe of the window relative to total energy.
+
+    The Kaiser can approximate many other windows by varying the beta
+    parameter.
+
+    ====  =======================
+    beta  Window shape
+    ====  =======================
+    0     Rectangular
+    5     Similar to a Hamming
+    6     Similar to a Hanning
+    8.6   Similar to a Blackman
+    ====  =======================
+
+    A beta value of 14 is probably a good starting point. Note that as beta
+    gets large, the window narrows, and so the number of samples needs to be
+    large enough to sample the increasingly narrow spike, otherwise NaNs will
+    get returned.
+
+    Most references to the Kaiser window come from the signal processing
+    literature, where it is used as one of many windowing functions for
+    smoothing values.  It is also known as an apodization (which means
+    "removing the foot", i.e. smoothing discontinuities at the beginning
+    and end of the sampled signal) or tapering function.
+
+    References
+    ----------
+    .. [1] J. F. Kaiser, "Digital Filters" - Ch 7 in "Systems analysis by
+           digital computer", Editors: F.F. Kuo and J.F. Kaiser, p 218-285.
+           John Wiley and Sons, New York, (1966).
+    .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics", The
+           University of Alberta Press, 1975, pp. 177-178.
+    .. [3] Wikipedia, "Window function",
+           https://en.wikipedia.org/wiki/Window_function
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import matplotlib.pyplot as plt
+    >>> np.kaiser(12, 14)
+     array([7.72686684e-06, 3.46009194e-03, 4.65200189e-02, # may vary
+            2.29737120e-01, 5.99885316e-01, 9.45674898e-01,
+            9.45674898e-01, 5.99885316e-01, 2.29737120e-01,
+            4.65200189e-02, 3.46009194e-03, 7.72686684e-06])
+
+
+    Plot the window and the frequency response.
+
+    .. plot::
+        :include-source:
+
+        import matplotlib.pyplot as plt
+        from numpy.fft import fft, fftshift
+        window = np.kaiser(51, 14)
+        plt.plot(window)
+        plt.title("Kaiser window")
+        plt.ylabel("Amplitude")
+        plt.xlabel("Sample")
+        plt.show()
+
+        plt.figure()
+        A = fft(window, 2048) / 25.5
+        mag = np.abs(fftshift(A))
+        freq = np.linspace(-0.5, 0.5, len(A))
+        response = 20 * np.log10(mag)
+        response = np.clip(response, -100, 100)
+        plt.plot(freq, response)
+        plt.title("Frequency response of Kaiser window")
+        plt.ylabel("Magnitude [dB]")
+        plt.xlabel("Normalized frequency [cycles per sample]")
+        plt.axis('tight')
+        plt.show()
+
+    """
+    # Ensures at least float64 via 0.0.  M should be an integer, but conversion
+    # to double is safe for a range.  (Simplified result_type with 0.0
+    # strongly typed.  result-type is not/less order sensitive, but that mainly
+    # matters for integers anyway.)
+    values = np.array([0.0, M, beta])
+    M = values[1]
+    beta = values[2]
+
+    if M == 1:
+        return np.ones(1, dtype=values.dtype)
+    n = arange(0, M)
+    alpha = (M-1)/2.0
+    return i0(beta * sqrt(1-((n-alpha)/alpha)**2.0))/i0(beta)
+
+
+def _sinc_dispatcher(x):
+    return (x,)
+
+
+@array_function_dispatch(_sinc_dispatcher)
+def sinc(x):
+    r"""
+    Return the normalized sinc function.
+
+    The sinc function is equal to :math:`\sin(\pi x)/(\pi x)` for any argument
+    :math:`x\ne 0`. ``sinc(0)`` takes the limit value 1, making ``sinc`` not
+    only everywhere continuous but also infinitely differentiable.
+
+    .. note::
+
+        Note the normalization factor of ``pi`` used in the definition.
+        This is the most commonly used definition in signal processing.
+        Use ``sinc(x / np.pi)`` to obtain the unnormalized sinc function
+        :math:`\sin(x)/x` that is more common in mathematics.
+
+    Parameters
+    ----------
+    x : ndarray
+        Array (possibly multi-dimensional) of values for which to calculate
+        ``sinc(x)``.
+
+    Returns
+    -------
+    out : ndarray
+        ``sinc(x)``, which has the same shape as the input.
+
+    Notes
+    -----
+    The name sinc is short for "sine cardinal" or "sinus cardinalis".
+
+    The sinc function is used in various signal processing applications,
+    including in anti-aliasing, in the construction of a Lanczos resampling
+    filter, and in interpolation.
+
+    For bandlimited interpolation of discrete-time signals, the ideal
+    interpolation kernel is proportional to the sinc function.
+
+    References
+    ----------
+    .. [1] Weisstein, Eric W. "Sinc Function." From MathWorld--A Wolfram Web
+           Resource. https://mathworld.wolfram.com/SincFunction.html
+    .. [2] Wikipedia, "Sinc function",
+           https://en.wikipedia.org/wiki/Sinc_function
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import matplotlib.pyplot as plt
+    >>> x = np.linspace(-4, 4, 41)
+    >>> np.sinc(x)
+     array([-3.89804309e-17,  -4.92362781e-02,  -8.40918587e-02, # may vary
+            -8.90384387e-02,  -5.84680802e-02,   3.89804309e-17,
+            6.68206631e-02,   1.16434881e-01,   1.26137788e-01,
+            8.50444803e-02,  -3.89804309e-17,  -1.03943254e-01,
+            -1.89206682e-01,  -2.16236208e-01,  -1.55914881e-01,
+            3.89804309e-17,   2.33872321e-01,   5.04551152e-01,
+            7.56826729e-01,   9.35489284e-01,   1.00000000e+00,
+            9.35489284e-01,   7.56826729e-01,   5.04551152e-01,
+            2.33872321e-01,   3.89804309e-17,  -1.55914881e-01,
+           -2.16236208e-01,  -1.89206682e-01,  -1.03943254e-01,
+           -3.89804309e-17,   8.50444803e-02,   1.26137788e-01,
+            1.16434881e-01,   6.68206631e-02,   3.89804309e-17,
+            -5.84680802e-02,  -8.90384387e-02,  -8.40918587e-02,
+            -4.92362781e-02,  -3.89804309e-17])
+
+    >>> plt.plot(x, np.sinc(x))
+    []
+    >>> plt.title("Sinc Function")
+    Text(0.5, 1.0, 'Sinc Function')
+    >>> plt.ylabel("Amplitude")
+    Text(0, 0.5, 'Amplitude')
+    >>> plt.xlabel("X")
+    Text(0.5, 0, 'X')
+    >>> plt.show()
+
+    """
+    x = np.asanyarray(x)
+    y = pi * where(x == 0, 1.0e-20, x)
+    return sin(y)/y
+
+
+def _ureduce(a, func, keepdims=False, **kwargs):
+    """
+    Internal Function.
+    Call `func` with `a` as first argument swapping the axes to use extended
+    axis on functions that don't support it natively.
+
+    Returns result and a.shape with axis dims set to 1.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array or object that can be converted to an array.
+    func : callable
+        Reduction function capable of receiving a single axis argument.
+        It is called with `a` as first argument followed by `kwargs`.
+    kwargs : keyword arguments
+        additional keyword arguments to pass to `func`.
+
+    Returns
+    -------
+    result : tuple
+        Result of func(a, **kwargs) and a.shape with axis dims set to 1
+        which can be used to reshape the result to the same shape a ufunc with
+        keepdims=True would produce.
+
+    """
+    a = np.asanyarray(a)
+    axis = kwargs.get('axis', None)
+    out = kwargs.get('out', None)
+
+    if keepdims is np._NoValue:
+        keepdims = False
+
+    nd = a.ndim
+    if axis is not None:
+        axis = _nx.normalize_axis_tuple(axis, nd)
+
+        if keepdims:
+            if out is not None:
+                index_out = tuple(
+                    0 if i in axis else slice(None) for i in range(nd))
+                kwargs['out'] = out[(Ellipsis, ) + index_out]
+
+        if len(axis) == 1:
+            kwargs['axis'] = axis[0]
+        else:
+            keep = set(range(nd)) - set(axis)
+            nkeep = len(keep)
+            # swap axis that should not be reduced to front
+            for i, s in enumerate(sorted(keep)):
+                a = a.swapaxes(i, s)
+            # merge reduced axis
+            a = a.reshape(a.shape[:nkeep] + (-1,))
+            kwargs['axis'] = -1
+    else:
+        if keepdims:
+            if out is not None:
+                index_out = (0, ) * nd
+                kwargs['out'] = out[(Ellipsis, ) + index_out]
+
+    r = func(a, **kwargs)
+
+    if out is not None:
+        return out
+
+    if keepdims:
+        if axis is None:
+            index_r = (np.newaxis, ) * nd
+        else:
+            index_r = tuple(
+                np.newaxis if i in axis else slice(None)
+                for i in range(nd))
+        r = r[(Ellipsis, ) + index_r]
+
+    return r
+
+
+def _median_dispatcher(
+        a, axis=None, out=None, overwrite_input=None, keepdims=None):
+    return (a, out)
+
+
+@array_function_dispatch(_median_dispatcher)
+def median(a, axis=None, out=None, overwrite_input=False, keepdims=False):
+    """
+    Compute the median along the specified axis.
+
+    Returns the median of the array elements.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array or object that can be converted to an array.
+    axis : {int, sequence of int, None}, optional
+        Axis or axes along which the medians are computed. The default,
+        axis=None, will compute the median along a flattened version of
+        the array. If a sequence of axes, the array is first flattened
+        along the given axes, then the median is computed along the
+        resulting flattened axis.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output,
+        but the type (of the output) will be cast if necessary.
+    overwrite_input : bool, optional
+       If True, then allow use of memory of input array `a` for
+       calculations. The input array will be modified by the call to
+       `median`. This will save memory when you do not need to preserve
+       the contents of the input array. Treat the input as undefined,
+       but it will probably be fully or partially sorted. Default is
+       False. If `overwrite_input` is ``True`` and `a` is not already an
+       `ndarray`, an error will be raised.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `arr`.
+
+    Returns
+    -------
+    median : ndarray
+        A new array holding the result. If the input contains integers
+        or floats smaller than ``float64``, then the output data-type is
+        ``np.float64``.  Otherwise, the data-type of the output is the
+        same as that of the input. If `out` is specified, that array is
+        returned instead.
+
+    See Also
+    --------
+    mean, percentile
+
+    Notes
+    -----
+    Given a vector ``V`` of length ``N``, the median of ``V`` is the
+    middle value of a sorted copy of ``V``, ``V_sorted`` - i
+    e., ``V_sorted[(N-1)/2]``, when ``N`` is odd, and the average of the
+    two middle values of ``V_sorted`` when ``N`` is even.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[10, 7, 4], [3, 2, 1]])
+    >>> a
+    array([[10,  7,  4],
+           [ 3,  2,  1]])
+    >>> np.median(a)
+    np.float64(3.5)
+    >>> np.median(a, axis=0)
+    array([6.5, 4.5, 2.5])
+    >>> np.median(a, axis=1)
+    array([7.,  2.])
+    >>> np.median(a, axis=(0, 1))
+    np.float64(3.5)
+    >>> m = np.median(a, axis=0)
+    >>> out = np.zeros_like(m)
+    >>> np.median(a, axis=0, out=m)
+    array([6.5,  4.5,  2.5])
+    >>> m
+    array([6.5,  4.5,  2.5])
+    >>> b = a.copy()
+    >>> np.median(b, axis=1, overwrite_input=True)
+    array([7.,  2.])
+    >>> assert not np.all(a==b)
+    >>> b = a.copy()
+    >>> np.median(b, axis=None, overwrite_input=True)
+    np.float64(3.5)
+    >>> assert not np.all(a==b)
+
+    """
+    return _ureduce(a, func=_median, keepdims=keepdims, axis=axis, out=out,
+                    overwrite_input=overwrite_input)
+
+
+def _median(a, axis=None, out=None, overwrite_input=False):
+    # can't be reasonably be implemented in terms of percentile as we have to
+    # call mean to not break astropy
+    a = np.asanyarray(a)
+
+    # Set the partition indexes
+    if axis is None:
+        sz = a.size
+    else:
+        sz = a.shape[axis]
+    if sz % 2 == 0:
+        szh = sz // 2
+        kth = [szh - 1, szh]
+    else:
+        kth = [(sz - 1) // 2]
+
+    # We have to check for NaNs (as of writing 'M' doesn't actually work).
+    supports_nans = np.issubdtype(a.dtype, np.inexact) or a.dtype.kind in 'Mm'
+    if supports_nans:
+        kth.append(-1)
+
+    if overwrite_input:
+        if axis is None:
+            part = a.ravel()
+            part.partition(kth)
+        else:
+            a.partition(kth, axis=axis)
+            part = a
+    else:
+        part = partition(a, kth, axis=axis)
+
+    if part.shape == ():
+        # make 0-D arrays work
+        return part.item()
+    if axis is None:
+        axis = 0
+
+    indexer = [slice(None)] * part.ndim
+    index = part.shape[axis] // 2
+    if part.shape[axis] % 2 == 1:
+        # index with slice to allow mean (below) to work
+        indexer[axis] = slice(index, index+1)
+    else:
+        indexer[axis] = slice(index-1, index+1)
+    indexer = tuple(indexer)
+
+    # Use mean in both odd and even case to coerce data type,
+    # using out array if needed.
+    rout = mean(part[indexer], axis=axis, out=out)
+    if supports_nans and sz > 0:
+        # If nans are possible, warn and replace by nans like mean would.
+        rout = np.lib._utils_impl._median_nancheck(part, rout, axis)
+
+    return rout
+
+
+def _percentile_dispatcher(a, q, axis=None, out=None, overwrite_input=None,
+                           method=None, keepdims=None, *, weights=None,
+                           interpolation=None):
+    return (a, q, out, weights)
+
+
+@array_function_dispatch(_percentile_dispatcher)
+def percentile(a,
+               q,
+               axis=None,
+               out=None,
+               overwrite_input=False,
+               method="linear",
+               keepdims=False,
+               *,
+               weights=None,
+               interpolation=None):
+    """
+    Compute the q-th percentile of the data along the specified axis.
+
+    Returns the q-th percentile(s) of the array elements.
+
+    Parameters
+    ----------
+    a : array_like of real numbers
+        Input array or object that can be converted to an array.
+    q : array_like of float
+        Percentage or sequence of percentages for the percentiles to compute.
+        Values must be between 0 and 100 inclusive.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the percentiles are computed. The
+        default is to compute the percentile(s) along a flattened
+        version of the array.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output,
+        but the type (of the output) will be cast if necessary.
+    overwrite_input : bool, optional
+        If True, then allow the input array `a` to be modified by intermediate
+        calculations, to save memory. In this case, the contents of the input
+        `a` after this function completes is undefined.
+    method : str, optional
+        This parameter specifies the method to use for estimating the
+        percentile.  There are many different methods, some unique to NumPy.
+        See the notes for explanation.  The options sorted by their R type
+        as summarized in the H&F paper [1]_ are:
+
+        1. 'inverted_cdf'
+        2. 'averaged_inverted_cdf'
+        3. 'closest_observation'
+        4. 'interpolated_inverted_cdf'
+        5. 'hazen'
+        6. 'weibull'
+        7. 'linear'  (default)
+        8. 'median_unbiased'
+        9. 'normal_unbiased'
+
+        The first three methods are discontinuous.  NumPy further defines the
+        following discontinuous variations of the default 'linear' (7.) option:
+
+        * 'lower'
+        * 'higher',
+        * 'midpoint'
+        * 'nearest'
+
+        .. versionchanged:: 1.22.0
+            This argument was previously called "interpolation" and only
+            offered the "linear" default and last four options.
+
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left in
+        the result as dimensions with size one. With this option, the
+        result will broadcast correctly against the original array `a`.
+
+     weights : array_like, optional
+        An array of weights associated with the values in `a`. Each value in
+        `a` contributes to the percentile according to its associated weight.
+        The weights array can either be 1-D (in which case its length must be
+        the size of `a` along the given axis) or of the same shape as `a`.
+        If `weights=None`, then all data in `a` are assumed to have a
+        weight equal to one.
+        Only `method="inverted_cdf"` supports weights.
+        See the notes for more details.
+
+        .. versionadded:: 2.0.0
+
+    interpolation : str, optional
+        Deprecated name for the method keyword argument.
+
+        .. deprecated:: 1.22.0
+
+    Returns
+    -------
+    percentile : scalar or ndarray
+        If `q` is a single percentile and `axis=None`, then the result
+        is a scalar. If multiple percentiles are given, first axis of
+        the result corresponds to the percentiles. The other axes are
+        the axes that remain after the reduction of `a`. If the input
+        contains integers or floats smaller than ``float64``, the output
+        data-type is ``float64``. Otherwise, the output data-type is the
+        same as that of the input. If `out` is specified, that array is
+        returned instead.
+
+    See Also
+    --------
+    mean
+    median : equivalent to ``percentile(..., 50)``
+    nanpercentile
+    quantile : equivalent to percentile, except q in the range [0, 1].
+
+    Notes
+    -----
+    The behavior of `numpy.percentile` with percentage `q` is
+    that of `numpy.quantile` with argument ``q/100``.
+    For more information, please see `numpy.quantile`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[10, 7, 4], [3, 2, 1]])
+    >>> a
+    array([[10,  7,  4],
+           [ 3,  2,  1]])
+    >>> np.percentile(a, 50)
+    3.5
+    >>> np.percentile(a, 50, axis=0)
+    array([6.5, 4.5, 2.5])
+    >>> np.percentile(a, 50, axis=1)
+    array([7.,  2.])
+    >>> np.percentile(a, 50, axis=1, keepdims=True)
+    array([[7.],
+           [2.]])
+
+    >>> m = np.percentile(a, 50, axis=0)
+    >>> out = np.zeros_like(m)
+    >>> np.percentile(a, 50, axis=0, out=out)
+    array([6.5, 4.5, 2.5])
+    >>> m
+    array([6.5, 4.5, 2.5])
+
+    >>> b = a.copy()
+    >>> np.percentile(b, 50, axis=1, overwrite_input=True)
+    array([7.,  2.])
+    >>> assert not np.all(a == b)
+
+    The different methods can be visualized graphically:
+
+    .. plot::
+
+        import matplotlib.pyplot as plt
+
+        a = np.arange(4)
+        p = np.linspace(0, 100, 6001)
+        ax = plt.gca()
+        lines = [
+            ('linear', '-', 'C0'),
+            ('inverted_cdf', ':', 'C1'),
+            # Almost the same as `inverted_cdf`:
+            ('averaged_inverted_cdf', '-.', 'C1'),
+            ('closest_observation', ':', 'C2'),
+            ('interpolated_inverted_cdf', '--', 'C1'),
+            ('hazen', '--', 'C3'),
+            ('weibull', '-.', 'C4'),
+            ('median_unbiased', '--', 'C5'),
+            ('normal_unbiased', '-.', 'C6'),
+            ]
+        for method, style, color in lines:
+            ax.plot(
+                p, np.percentile(a, p, method=method),
+                label=method, linestyle=style, color=color)
+        ax.set(
+            title='Percentiles for different methods and data: ' + str(a),
+            xlabel='Percentile',
+            ylabel='Estimated percentile value',
+            yticks=a)
+        ax.legend(bbox_to_anchor=(1.03, 1))
+        plt.tight_layout()
+        plt.show()
+
+    References
+    ----------
+    .. [1] R. J. Hyndman and Y. Fan,
+       "Sample quantiles in statistical packages,"
+       The American Statistician, 50(4), pp. 361-365, 1996
+
+    """
+    if interpolation is not None:
+        method = _check_interpolation_as_method(
+            method, interpolation, "percentile")
+
+    a = np.asanyarray(a)
+    if a.dtype.kind == "c":
+        raise TypeError("a must be an array of real numbers")
+
+    # Use dtype of array if possible (e.g., if q is a python int or float)
+    # by making the divisor have the dtype of the data array.
+    q = np.true_divide(q, a.dtype.type(100) if a.dtype.kind == "f" else 100)
+    q = asanyarray(q)  # undo any decay that the ufunc performed (see gh-13105)
+    if not _quantile_is_valid(q):
+        raise ValueError("Percentiles must be in the range [0, 100]")
+
+    if weights is not None:
+        if method != "inverted_cdf":
+            msg = ("Only method 'inverted_cdf' supports weights. "
+                   f"Got: {method}.")
+            raise ValueError(msg)
+        if axis is not None:
+            axis = _nx.normalize_axis_tuple(axis, a.ndim, argname="axis")
+        weights = _weights_are_valid(weights=weights, a=a, axis=axis)
+        if np.any(weights < 0):
+            raise ValueError("Weights must be non-negative.")
+
+    return _quantile_unchecked(
+        a, q, axis, out, overwrite_input, method, keepdims, weights)
+
+
+def _quantile_dispatcher(a, q, axis=None, out=None, overwrite_input=None,
+                         method=None, keepdims=None, *, weights=None,
+                         interpolation=None):
+    return (a, q, out, weights)
+
+
+@array_function_dispatch(_quantile_dispatcher)
+def quantile(a,
+             q,
+             axis=None,
+             out=None,
+             overwrite_input=False,
+             method="linear",
+             keepdims=False,
+             *,
+             weights=None,
+             interpolation=None):
+    """
+    Compute the q-th quantile of the data along the specified axis.
+
+    Parameters
+    ----------
+    a : array_like of real numbers
+        Input array or object that can be converted to an array.
+    q : array_like of float
+        Probability or sequence of probabilities of the quantiles to compute.
+        Values must be between 0 and 1 inclusive.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the quantiles are computed. The default is
+        to compute the quantile(s) along a flattened version of the array.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must have
+        the same shape and buffer length as the expected output, but the
+        type (of the output) will be cast if necessary.
+    overwrite_input : bool, optional
+        If True, then allow the input array `a` to be modified by
+        intermediate calculations, to save memory. In this case, the
+        contents of the input `a` after this function completes is
+        undefined.
+    method : str, optional
+        This parameter specifies the method to use for estimating the
+        quantile.  There are many different methods, some unique to NumPy.
+        The recommended options, numbered as they appear in [1]_, are:
+
+        1. 'inverted_cdf'
+        2. 'averaged_inverted_cdf'
+        3. 'closest_observation'
+        4. 'interpolated_inverted_cdf'
+        5. 'hazen'
+        6. 'weibull'
+        7. 'linear'  (default)
+        8. 'median_unbiased'
+        9. 'normal_unbiased'
+
+        The first three methods are discontinuous. For backward compatibility
+        with previous versions of NumPy, the following discontinuous variations
+        of the default 'linear' (7.) option are available:
+
+        * 'lower'
+        * 'higher',
+        * 'midpoint'
+        * 'nearest'
+
+        See Notes for details.
+
+        .. versionchanged:: 1.22.0
+            This argument was previously called "interpolation" and only
+            offered the "linear" default and last four options.
+
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left in
+        the result as dimensions with size one. With this option, the
+        result will broadcast correctly against the original array `a`.
+
+    weights : array_like, optional
+        An array of weights associated with the values in `a`. Each value in
+        `a` contributes to the quantile according to its associated weight.
+        The weights array can either be 1-D (in which case its length must be
+        the size of `a` along the given axis) or of the same shape as `a`.
+        If `weights=None`, then all data in `a` are assumed to have a
+        weight equal to one.
+        Only `method="inverted_cdf"` supports weights.
+        See the notes for more details.
+
+        .. versionadded:: 2.0.0
+
+    interpolation : str, optional
+        Deprecated name for the method keyword argument.
+
+        .. deprecated:: 1.22.0
+
+    Returns
+    -------
+    quantile : scalar or ndarray
+        If `q` is a single probability and `axis=None`, then the result
+        is a scalar. If multiple probability levels are given, first axis
+        of the result corresponds to the quantiles. The other axes are
+        the axes that remain after the reduction of `a`. If the input
+        contains integers or floats smaller than ``float64``, the output
+        data-type is ``float64``. Otherwise, the output data-type is the
+        same as that of the input. If `out` is specified, that array is
+        returned instead.
+
+    See Also
+    --------
+    mean
+    percentile : equivalent to quantile, but with q in the range [0, 100].
+    median : equivalent to ``quantile(..., 0.5)``
+    nanquantile
+
+    Notes
+    -----
+    Given a sample `a` from an underlying distribution, `quantile` provides a
+    nonparametric estimate of the inverse cumulative distribution function.
+
+    By default, this is done by interpolating between adjacent elements in
+    ``y``, a sorted copy of `a`::
+
+        (1-g)*y[j] + g*y[j+1]
+
+    where the index ``j`` and coefficient ``g`` are the integral and
+    fractional components of ``q * (n-1)``, and ``n`` is the number of
+    elements in the sample.
+
+    This is a special case of Equation 1 of H&F [1]_. More generally,
+
+    - ``j = (q*n + m - 1) // 1``, and
+    - ``g = (q*n + m - 1) % 1``,
+
+    where ``m`` may be defined according to several different conventions.
+    The preferred convention may be selected using the ``method`` parameter:
+
+    =============================== =============== ===============
+    ``method``                      number in H&F   ``m``
+    =============================== =============== ===============
+    ``interpolated_inverted_cdf``   4               ``0``
+    ``hazen``                       5               ``1/2``
+    ``weibull``                     6               ``q``
+    ``linear`` (default)            7               ``1 - q``
+    ``median_unbiased``             8               ``q/3 + 1/3``
+    ``normal_unbiased``             9               ``q/4 + 3/8``
+    =============================== =============== ===============
+
+    Note that indices ``j`` and ``j + 1`` are clipped to the range ``0`` to
+    ``n - 1`` when the results of the formula would be outside the allowed
+    range of non-negative indices. The ``- 1`` in the formulas for ``j`` and
+    ``g`` accounts for Python's 0-based indexing.
+
+    The table above includes only the estimators from H&F that are continuous
+    functions of probability `q` (estimators 4-9). NumPy also provides the
+    three discontinuous estimators from H&F (estimators 1-3), where ``j`` is
+    defined as above, ``m`` is defined as follows, and ``g`` is a function
+    of the real-valued ``index = q*n + m - 1`` and ``j``.
+
+    1. ``inverted_cdf``: ``m = 0`` and ``g = int(index - j > 0)``
+    2. ``averaged_inverted_cdf``: ``m = 0`` and
+       ``g = (1 + int(index - j > 0)) / 2``
+    3. ``closest_observation``: ``m = -1/2`` and
+       ``g = 1 - int((index == j) & (j%2 == 1))``
+
+    For backward compatibility with previous versions of NumPy, `quantile`
+    provides four additional discontinuous estimators. Like
+    ``method='linear'``, all have ``m = 1 - q`` so that ``j = q*(n-1) // 1``,
+    but ``g`` is defined as follows.
+
+    - ``lower``: ``g = 0``
+    - ``midpoint``: ``g = 0.5``
+    - ``higher``: ``g = 1``
+    - ``nearest``: ``g = (q*(n-1) % 1) > 0.5``
+
+    **Weighted quantiles:**
+    More formally, the quantile at probability level :math:`q` of a cumulative
+    distribution function :math:`F(y)=P(Y \\leq y)` with probability measure
+    :math:`P` is defined as any number :math:`x` that fulfills the
+    *coverage conditions*
+
+    .. math:: P(Y < x) \\leq q \\quad\\text{and}\\quad P(Y \\leq x) \\geq q
+
+    with random variable :math:`Y\\sim P`.
+    Sample quantiles, the result of `quantile`, provide nonparametric
+    estimation of the underlying population counterparts, represented by the
+    unknown :math:`F`, given a data vector `a` of length ``n``.
+
+    Some of the estimators above arise when one considers :math:`F` as the
+    empirical distribution function of the data, i.e.
+    :math:`F(y) = \\frac{1}{n} \\sum_i 1_{a_i \\leq y}`.
+    Then, different methods correspond to different choices of :math:`x` that
+    fulfill the above coverage conditions. Methods that follow this approach
+    are ``inverted_cdf`` and ``averaged_inverted_cdf``.
+
+    For weighted quantiles, the coverage conditions still hold. The
+    empirical cumulative distribution is simply replaced by its weighted
+    version, i.e.
+    :math:`P(Y \\leq t) = \\frac{1}{\\sum_i w_i} \\sum_i w_i 1_{x_i \\leq t}`.
+    Only ``method="inverted_cdf"`` supports weights.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[10, 7, 4], [3, 2, 1]])
+    >>> a
+    array([[10,  7,  4],
+           [ 3,  2,  1]])
+    >>> np.quantile(a, 0.5)
+    3.5
+    >>> np.quantile(a, 0.5, axis=0)
+    array([6.5, 4.5, 2.5])
+    >>> np.quantile(a, 0.5, axis=1)
+    array([7.,  2.])
+    >>> np.quantile(a, 0.5, axis=1, keepdims=True)
+    array([[7.],
+           [2.]])
+    >>> m = np.quantile(a, 0.5, axis=0)
+    >>> out = np.zeros_like(m)
+    >>> np.quantile(a, 0.5, axis=0, out=out)
+    array([6.5, 4.5, 2.5])
+    >>> m
+    array([6.5, 4.5, 2.5])
+    >>> b = a.copy()
+    >>> np.quantile(b, 0.5, axis=1, overwrite_input=True)
+    array([7.,  2.])
+    >>> assert not np.all(a == b)
+
+    See also `numpy.percentile` for a visualization of most methods.
+
+    References
+    ----------
+    .. [1] R. J. Hyndman and Y. Fan,
+       "Sample quantiles in statistical packages,"
+       The American Statistician, 50(4), pp. 361-365, 1996
+
+    """
+    if interpolation is not None:
+        method = _check_interpolation_as_method(
+            method, interpolation, "quantile")
+
+    a = np.asanyarray(a)
+    if a.dtype.kind == "c":
+        raise TypeError("a must be an array of real numbers")
+
+    # Use dtype of array if possible (e.g., if q is a python int or float).
+    if isinstance(q, (int, float)) and a.dtype.kind == "f":
+        q = np.asanyarray(q, dtype=a.dtype)
+    else:
+        q = np.asanyarray(q)
+
+    if not _quantile_is_valid(q):
+        raise ValueError("Quantiles must be in the range [0, 1]")
+
+    if weights is not None:
+        if method != "inverted_cdf":
+            msg = ("Only method 'inverted_cdf' supports weights. "
+                   f"Got: {method}.")
+            raise ValueError(msg)
+        if axis is not None:
+            axis = _nx.normalize_axis_tuple(axis, a.ndim, argname="axis")
+        weights = _weights_are_valid(weights=weights, a=a, axis=axis)
+        if np.any(weights < 0):
+            raise ValueError("Weights must be non-negative.")
+
+    return _quantile_unchecked(
+        a, q, axis, out, overwrite_input, method, keepdims, weights)
+
+
+def _quantile_unchecked(a,
+                        q,
+                        axis=None,
+                        out=None,
+                        overwrite_input=False,
+                        method="linear",
+                        keepdims=False,
+                        weights=None):
+    """Assumes that q is in [0, 1], and is an ndarray"""
+    return _ureduce(a,
+                    func=_quantile_ureduce_func,
+                    q=q,
+                    weights=weights,
+                    keepdims=keepdims,
+                    axis=axis,
+                    out=out,
+                    overwrite_input=overwrite_input,
+                    method=method)
+
+
+def _quantile_is_valid(q):
+    # avoid expensive reductions, relevant for arrays with < O(1000) elements
+    if q.ndim == 1 and q.size < 10:
+        for i in range(q.size):
+            if not (0.0 <= q[i] <= 1.0):
+                return False
+    else:
+        if not (q.min() >= 0 and q.max() <= 1):
+            return False
+    return True
+
+
+def _check_interpolation_as_method(method, interpolation, fname):
+    # Deprecated NumPy 1.22, 2021-11-08
+    warnings.warn(
+        f"the `interpolation=` argument to {fname} was renamed to "
+        "`method=`, which has additional options.\n"
+        "Users of the modes 'nearest', 'lower', 'higher', or "
+        "'midpoint' are encouraged to review the method they used. "
+        "(Deprecated NumPy 1.22)",
+        DeprecationWarning, stacklevel=4)
+    if method != "linear":
+        # sanity check, we assume this basically never happens
+        raise TypeError(
+            "You shall not pass both `method` and `interpolation`!\n"
+            "(`interpolation` is Deprecated in favor of `method`)")
+    return interpolation
+
+
+def _compute_virtual_index(n, quantiles, alpha: float, beta: float):
+    """
+    Compute the floating point indexes of an array for the linear
+    interpolation of quantiles.
+    n : array_like
+        The sample sizes.
+    quantiles : array_like
+        The quantiles values.
+    alpha : float
+        A constant used to correct the index computed.
+    beta : float
+        A constant used to correct the index computed.
+
+    alpha and beta values depend on the chosen method
+    (see quantile documentation)
+
+    Reference:
+    Hyndman&Fan paper "Sample Quantiles in Statistical Packages",
+    DOI: 10.1080/00031305.1996.10473566
+    """
+    return n * quantiles + (
+            alpha + quantiles * (1 - alpha - beta)
+    ) - 1
+
+
+def _get_gamma(virtual_indexes, previous_indexes, method):
+    """
+    Compute gamma (a.k.a 'm' or 'weight') for the linear interpolation
+    of quantiles.
+
+    virtual_indexes : array_like
+        The indexes where the percentile is supposed to be found in the sorted
+        sample.
+    previous_indexes : array_like
+        The floor values of virtual_indexes.
+    interpolation : dict
+        The interpolation method chosen, which may have a specific rule
+        modifying gamma.
+
+    gamma is usually the fractional part of virtual_indexes but can be modified
+    by the interpolation method.
+    """
+    gamma = np.asanyarray(virtual_indexes - previous_indexes)
+    gamma = method["fix_gamma"](gamma, virtual_indexes)
+    # Ensure both that we have an array, and that we keep the dtype
+    # (which may have been matched to the input array).
+    return np.asanyarray(gamma, dtype=virtual_indexes.dtype)
+
+
+def _lerp(a, b, t, out=None):
+    """
+    Compute the linear interpolation weighted by gamma on each point of
+    two same shape array.
+
+    a : array_like
+        Left bound.
+    b : array_like
+        Right bound.
+    t : array_like
+        The interpolation weight.
+    out : array_like
+        Output array.
+    """
+    diff_b_a = subtract(b, a)
+    # asanyarray is a stop-gap until gh-13105
+    lerp_interpolation = asanyarray(add(a, diff_b_a * t, out=out))
+    subtract(b, diff_b_a * (1 - t), out=lerp_interpolation, where=t >= 0.5,
+             casting='unsafe', dtype=type(lerp_interpolation.dtype))
+    if lerp_interpolation.ndim == 0 and out is None:
+        lerp_interpolation = lerp_interpolation[()]  # unpack 0d arrays
+    return lerp_interpolation
+
+
+def _get_gamma_mask(shape, default_value, conditioned_value, where):
+    out = np.full(shape, default_value)
+    np.copyto(out, conditioned_value, where=where, casting="unsafe")
+    return out
+
+
+def _discrete_interpolation_to_boundaries(index, gamma_condition_fun):
+    previous = np.floor(index)
+    next = previous + 1
+    gamma = index - previous
+    res = _get_gamma_mask(shape=index.shape,
+                          default_value=next,
+                          conditioned_value=previous,
+                          where=gamma_condition_fun(gamma, index)
+                          ).astype(np.intp)
+    # Some methods can lead to out-of-bound integers, clip them:
+    res[res < 0] = 0
+    return res
+
+
+def _closest_observation(n, quantiles):
+    # "choose the nearest even order statistic at g=0" (H&F (1996) pp. 362).
+    # Order is 1-based so for zero-based indexing round to nearest odd index.
+    gamma_fun = lambda gamma, index: (gamma == 0) & (np.floor(index) % 2 == 1)
+    return _discrete_interpolation_to_boundaries((n * quantiles) - 1 - 0.5,
+                                                 gamma_fun)
+
+
+def _inverted_cdf(n, quantiles):
+    gamma_fun = lambda gamma, _: (gamma == 0)
+    return _discrete_interpolation_to_boundaries((n * quantiles) - 1,
+                                                 gamma_fun)
+
+
+def _quantile_ureduce_func(
+        a: np.array,
+        q: np.array,
+        weights: np.array,
+        axis: int | None = None,
+        out=None,
+        overwrite_input: bool = False,
+        method="linear",
+) -> np.array:
+    if q.ndim > 2:
+        # The code below works fine for nd, but it might not have useful
+        # semantics. For now, keep the supported dimensions the same as it was
+        # before.
+        raise ValueError("q must be a scalar or 1d")
+    if overwrite_input:
+        if axis is None:
+            axis = 0
+            arr = a.ravel()
+            wgt = None if weights is None else weights.ravel()
+        else:
+            arr = a
+            wgt = weights
+    else:
+        if axis is None:
+            axis = 0
+            arr = a.flatten()
+            wgt = None if weights is None else weights.flatten()
+        else:
+            arr = a.copy()
+            wgt = weights
+    result = _quantile(arr,
+                       quantiles=q,
+                       axis=axis,
+                       method=method,
+                       out=out,
+                       weights=wgt)
+    return result
+
+
+def _get_indexes(arr, virtual_indexes, valid_values_count):
+    """
+    Get the valid indexes of arr neighbouring virtual_indexes.
+    Note
+    This is a companion function to linear interpolation of
+    Quantiles
+
+    Returns
+    -------
+    (previous_indexes, next_indexes): Tuple
+        A Tuple of virtual_indexes neighbouring indexes
+    """
+    previous_indexes = np.asanyarray(np.floor(virtual_indexes))
+    next_indexes = np.asanyarray(previous_indexes + 1)
+    indexes_above_bounds = virtual_indexes >= valid_values_count - 1
+    # When indexes is above max index, take the max value of the array
+    if indexes_above_bounds.any():
+        previous_indexes[indexes_above_bounds] = -1
+        next_indexes[indexes_above_bounds] = -1
+    # When indexes is below min index, take the min value of the array
+    indexes_below_bounds = virtual_indexes < 0
+    if indexes_below_bounds.any():
+        previous_indexes[indexes_below_bounds] = 0
+        next_indexes[indexes_below_bounds] = 0
+    if np.issubdtype(arr.dtype, np.inexact):
+        # After the sort, slices having NaNs will have for last element a NaN
+        virtual_indexes_nans = np.isnan(virtual_indexes)
+        if virtual_indexes_nans.any():
+            previous_indexes[virtual_indexes_nans] = -1
+            next_indexes[virtual_indexes_nans] = -1
+    previous_indexes = previous_indexes.astype(np.intp)
+    next_indexes = next_indexes.astype(np.intp)
+    return previous_indexes, next_indexes
+
+
+def _quantile(
+        arr: np.array,
+        quantiles: np.array,
+        axis: int = -1,
+        method="linear",
+        out=None,
+        weights=None,
+):
+    """
+    Private function that doesn't support extended axis or keepdims.
+    These methods are extended to this function using _ureduce
+    See nanpercentile for parameter usage
+    It computes the quantiles of the array for the given axis.
+    A linear interpolation is performed based on the `interpolation`.
+
+    By default, the method is "linear" where alpha == beta == 1 which
+    performs the 7th method of Hyndman&Fan.
+    With "median_unbiased" we get alpha == beta == 1/3
+    thus the 8th method of Hyndman&Fan.
+    """
+    # --- Setup
+    arr = np.asanyarray(arr)
+    values_count = arr.shape[axis]
+    # The dimensions of `q` are prepended to the output shape, so we need the
+    # axis being sampled from `arr` to be last.
+    if axis != 0:  # But moveaxis is slow, so only call it if necessary.
+        arr = np.moveaxis(arr, axis, destination=0)
+    supports_nans = (
+        np.issubdtype(arr.dtype, np.inexact) or arr.dtype.kind in 'Mm'
+    )
+
+    if weights is None:
+        # --- Computation of indexes
+        # Index where to find the value in the sorted array.
+        # Virtual because it is a floating point value, not an valid index.
+        # The nearest neighbours are used for interpolation
+        try:
+            method_props = _QuantileMethods[method]
+        except KeyError:
+            raise ValueError(
+                f"{method!r} is not a valid method. Use one of: "
+                f"{_QuantileMethods.keys()}") from None
+        virtual_indexes = method_props["get_virtual_index"](values_count,
+                                                            quantiles)
+        virtual_indexes = np.asanyarray(virtual_indexes)
+
+        if method_props["fix_gamma"] is None:
+            supports_integers = True
+        else:
+            int_virtual_indices = np.issubdtype(virtual_indexes.dtype,
+                                                np.integer)
+            supports_integers = method == 'linear' and int_virtual_indices
+
+        if supports_integers:
+            # No interpolation needed, take the points along axis
+            if supports_nans:
+                # may contain nan, which would sort to the end
+                arr.partition(
+                    concatenate((virtual_indexes.ravel(), [-1])), axis=0,
+                )
+                slices_having_nans = np.isnan(arr[-1, ...])
+            else:
+                # cannot contain nan
+                arr.partition(virtual_indexes.ravel(), axis=0)
+                slices_having_nans = np.array(False, dtype=bool)
+            result = take(arr, virtual_indexes, axis=0, out=out)
+        else:
+            previous_indexes, next_indexes = _get_indexes(arr,
+                                                          virtual_indexes,
+                                                          values_count)
+            # --- Sorting
+            arr.partition(
+                np.unique(np.concatenate(([0, -1],
+                                          previous_indexes.ravel(),
+                                          next_indexes.ravel(),
+                                          ))),
+                axis=0)
+            if supports_nans:
+                slices_having_nans = np.isnan(arr[-1, ...])
+            else:
+                slices_having_nans = None
+            # --- Get values from indexes
+            previous = arr[previous_indexes]
+            next = arr[next_indexes]
+            # --- Linear interpolation
+            gamma = _get_gamma(virtual_indexes, previous_indexes, method_props)
+            result_shape = virtual_indexes.shape + (1,) * (arr.ndim - 1)
+            gamma = gamma.reshape(result_shape)
+            result = _lerp(previous,
+                        next,
+                        gamma,
+                        out=out)
+    else:
+        # Weighted case
+        # This implements method="inverted_cdf", the only supported weighted
+        # method, which needs to sort anyway.
+        weights = np.asanyarray(weights)
+        if axis != 0:
+            weights = np.moveaxis(weights, axis, destination=0)
+        index_array = np.argsort(arr, axis=0, kind="stable")
+
+        # arr = arr[index_array, ...]  # but this adds trailing dimensions of
+        # 1.
+        arr = np.take_along_axis(arr, index_array, axis=0)
+        if weights.shape == arr.shape:
+            weights = np.take_along_axis(weights, index_array, axis=0)
+        else:
+            # weights is 1d
+            weights = weights.reshape(-1)[index_array, ...]
+
+        if supports_nans:
+            # may contain nan, which would sort to the end
+            slices_having_nans = np.isnan(arr[-1, ...])
+        else:
+            # cannot contain nan
+            slices_having_nans = np.array(False, dtype=bool)
+
+        # We use the weights to calculate the empirical cumulative
+        # distribution function cdf
+        cdf = weights.cumsum(axis=0, dtype=np.float64)
+        cdf /= cdf[-1, ...]  # normalization to 1
+        # Search index i such that
+        #   sum(weights[j], j=0..i-1) < quantile <= sum(weights[j], j=0..i)
+        # is then equivalent to
+        #   cdf[i-1] < quantile <= cdf[i]
+        # Unfortunately, searchsorted only accepts 1-d arrays as first
+        # argument, so we will need to iterate over dimensions.
+
+        # Without the following cast, searchsorted can return surprising
+        # results, e.g.
+        #   np.searchsorted(np.array([0.2, 0.4, 0.6, 0.8, 1.]),
+        #                   np.array(0.4, dtype=np.float32), side="left")
+        # returns 2 instead of 1 because 0.4 is not binary representable.
+        if quantiles.dtype.kind == "f":
+            cdf = cdf.astype(quantiles.dtype)
+        # Weights must be non-negative, so we might have zero weights at the
+        # beginning leading to some leading zeros in cdf. The call to
+        # np.searchsorted for quantiles=0 will then pick the first element,
+        # but should pick the first one larger than zero. We
+        # therefore simply set 0 values in cdf to -1.
+        if np.any(cdf[0, ...] == 0):
+            cdf[cdf == 0] = -1
+
+        def find_cdf_1d(arr, cdf):
+            indices = np.searchsorted(cdf, quantiles, side="left")
+            # We might have reached the maximum with i = len(arr), e.g. for
+            # quantiles = 1, and need to cut it to len(arr) - 1.
+            indices = minimum(indices, values_count - 1)
+            result = take(arr, indices, axis=0)
+            return result
+
+        r_shape = arr.shape[1:]
+        if quantiles.ndim > 0:
+            r_shape = quantiles.shape + r_shape
+        if out is None:
+            result = np.empty_like(arr, shape=r_shape)
+        else:
+            if out.shape != r_shape:
+                msg = (f"Wrong shape of argument 'out', shape={r_shape} is "
+                       f"required; got shape={out.shape}.")
+                raise ValueError(msg)
+            result = out
+
+        # See apply_along_axis, which we do for axis=0. Note that Ni = (,)
+        # always, so we remove it here.
+        Nk = arr.shape[1:]
+        for kk in np.ndindex(Nk):
+            result[(...,) + kk] = find_cdf_1d(
+                arr[np.s_[:, ] + kk], cdf[np.s_[:, ] + kk]
+            )
+
+        # Make result the same as in unweighted inverted_cdf.
+        if result.shape == () and result.dtype == np.dtype("O"):
+            result = result.item()
+
+    if np.any(slices_having_nans):
+        if result.ndim == 0 and out is None:
+            # can't write to a scalar, but indexing will be correct
+            result = arr[-1]
+        else:
+            np.copyto(result, arr[-1, ...], where=slices_having_nans)
+    return result
+
+
+def _trapezoid_dispatcher(y, x=None, dx=None, axis=None):
+    return (y, x)
+
+
+@array_function_dispatch(_trapezoid_dispatcher)
+def trapezoid(y, x=None, dx=1.0, axis=-1):
+    r"""
+    Integrate along the given axis using the composite trapezoidal rule.
+
+    If `x` is provided, the integration happens in sequence along its
+    elements - they are not sorted.
+
+    Integrate `y` (`x`) along each 1d slice on the given axis, compute
+    :math:`\int y(x) dx`.
+    When `x` is specified, this integrates along the parametric curve,
+    computing :math:`\int_t y(t) dt =
+    \int_t y(t) \left.\frac{dx}{dt}\right|_{x=x(t)} dt`.
+
+    .. versionadded:: 2.0.0
+
+    Parameters
+    ----------
+    y : array_like
+        Input array to integrate.
+    x : array_like, optional
+        The sample points corresponding to the `y` values. If `x` is None,
+        the sample points are assumed to be evenly spaced `dx` apart. The
+        default is None.
+    dx : scalar, optional
+        The spacing between sample points when `x` is None. The default is 1.
+    axis : int, optional
+        The axis along which to integrate.
+
+    Returns
+    -------
+    trapezoid : float or ndarray
+        Definite integral of `y` = n-dimensional array as approximated along
+        a single axis by the trapezoidal rule. If `y` is a 1-dimensional array,
+        then the result is a float. If `n` is greater than 1, then the result
+        is an `n`-1 dimensional array.
+
+    See Also
+    --------
+    sum, cumsum
+
+    Notes
+    -----
+    Image [2]_ illustrates trapezoidal rule -- y-axis locations of points
+    will be taken from `y` array, by default x-axis distances between
+    points will be 1.0, alternatively they can be provided with `x` array
+    or with `dx` scalar.  Return value will be equal to combined area under
+    the red lines.
+
+
+    References
+    ----------
+    .. [1] Wikipedia page: https://en.wikipedia.org/wiki/Trapezoidal_rule
+
+    .. [2] Illustration image:
+           https://en.wikipedia.org/wiki/File:Composite_trapezoidal_rule_illustration.png
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Use the trapezoidal rule on evenly spaced points:
+
+    >>> np.trapezoid([1, 2, 3])
+    4.0
+
+    The spacing between sample points can be selected by either the
+    ``x`` or ``dx`` arguments:
+
+    >>> np.trapezoid([1, 2, 3], x=[4, 6, 8])
+    8.0
+    >>> np.trapezoid([1, 2, 3], dx=2)
+    8.0
+
+    Using a decreasing ``x`` corresponds to integrating in reverse:
+
+    >>> np.trapezoid([1, 2, 3], x=[8, 6, 4])
+    -8.0
+
+    More generally ``x`` is used to integrate along a parametric curve. We can
+    estimate the integral :math:`\int_0^1 x^2 = 1/3` using:
+
+    >>> x = np.linspace(0, 1, num=50)
+    >>> y = x**2
+    >>> np.trapezoid(y, x)
+    0.33340274885464394
+
+    Or estimate the area of a circle, noting we repeat the sample which closes
+    the curve:
+
+    >>> theta = np.linspace(0, 2 * np.pi, num=1000, endpoint=True)
+    >>> np.trapezoid(np.cos(theta), x=np.sin(theta))
+    3.141571941375841
+
+    ``np.trapezoid`` can be applied along a specified axis to do multiple
+    computations in one call:
+
+    >>> a = np.arange(6).reshape(2, 3)
+    >>> a
+    array([[0, 1, 2],
+           [3, 4, 5]])
+    >>> np.trapezoid(a, axis=0)
+    array([1.5, 2.5, 3.5])
+    >>> np.trapezoid(a, axis=1)
+    array([2.,  8.])
+    """
+
+    y = asanyarray(y)
+    if x is None:
+        d = dx
+    else:
+        x = asanyarray(x)
+        if x.ndim == 1:
+            d = diff(x)
+            # reshape to correct shape
+            shape = [1]*y.ndim
+            shape[axis] = d.shape[0]
+            d = d.reshape(shape)
+        else:
+            d = diff(x, axis=axis)
+    nd = y.ndim
+    slice1 = [slice(None)]*nd
+    slice2 = [slice(None)]*nd
+    slice1[axis] = slice(1, None)
+    slice2[axis] = slice(None, -1)
+    try:
+        ret = (d * (y[tuple(slice1)] + y[tuple(slice2)]) / 2.0).sum(axis)
+    except ValueError:
+        # Operations didn't work, cast to ndarray
+        d = np.asarray(d)
+        y = np.asarray(y)
+        ret = add.reduce(d * (y[tuple(slice1)]+y[tuple(slice2)])/2.0, axis)
+    return ret
+
+
+@set_module('numpy')
+def trapz(y, x=None, dx=1.0, axis=-1):
+    """
+    `trapz` is deprecated in NumPy 2.0.
+
+    Please use `trapezoid` instead, or one of the numerical integration
+    functions in `scipy.integrate`.
+    """
+    # Deprecated in NumPy 2.0, 2023-08-18
+    warnings.warn(
+        "`trapz` is deprecated. Use `trapezoid` instead, or one of the "
+        "numerical integration functions in `scipy.integrate`.",
+        DeprecationWarning,
+        stacklevel=2
+    )
+    return trapezoid(y, x=x, dx=dx, axis=axis)
+
+
+def _meshgrid_dispatcher(*xi, copy=None, sparse=None, indexing=None):
+    return xi
+
+
+# Based on scitools meshgrid
+@array_function_dispatch(_meshgrid_dispatcher)
+def meshgrid(*xi, copy=True, sparse=False, indexing='xy'):
+    """
+    Return a tuple of coordinate matrices from coordinate vectors.
+
+    Make N-D coordinate arrays for vectorized evaluations of
+    N-D scalar/vector fields over N-D grids, given
+    one-dimensional coordinate arrays x1, x2,..., xn.
+
+    Parameters
+    ----------
+    x1, x2,..., xn : array_like
+        1-D arrays representing the coordinates of a grid.
+    indexing : {'xy', 'ij'}, optional
+        Cartesian ('xy', default) or matrix ('ij') indexing of output.
+        See Notes for more details.
+    sparse : bool, optional
+        If True the shape of the returned coordinate array for dimension *i*
+        is reduced from ``(N1, ..., Ni, ... Nn)`` to
+        ``(1, ..., 1, Ni, 1, ..., 1)``.  These sparse coordinate grids are
+        intended to be use with :ref:`basics.broadcasting`.  When all
+        coordinates are used in an expression, broadcasting still leads to a
+        fully-dimensonal result array.
+
+        Default is False.
+
+    copy : bool, optional
+        If False, a view into the original arrays are returned in order to
+        conserve memory.  Default is True.  Please note that
+        ``sparse=False, copy=False`` will likely return non-contiguous
+        arrays.  Furthermore, more than one element of a broadcast array
+        may refer to a single memory location.  If you need to write to the
+        arrays, make copies first.
+
+    Returns
+    -------
+    X1, X2,..., XN : tuple of ndarrays
+        For vectors `x1`, `x2`,..., `xn` with lengths ``Ni=len(xi)``,
+        returns ``(N1, N2, N3,..., Nn)`` shaped arrays if indexing='ij'
+        or ``(N2, N1, N3,..., Nn)`` shaped arrays if indexing='xy'
+        with the elements of `xi` repeated to fill the matrix along
+        the first dimension for `x1`, the second for `x2` and so on.
+
+    Notes
+    -----
+    This function supports both indexing conventions through the indexing
+    keyword argument.  Giving the string 'ij' returns a meshgrid with
+    matrix indexing, while 'xy' returns a meshgrid with Cartesian indexing.
+    In the 2-D case with inputs of length M and N, the outputs are of shape
+    (N, M) for 'xy' indexing and (M, N) for 'ij' indexing.  In the 3-D case
+    with inputs of length M, N and P, outputs are of shape (N, M, P) for
+    'xy' indexing and (M, N, P) for 'ij' indexing.  The difference is
+    illustrated by the following code snippet::
+
+        xv, yv = np.meshgrid(x, y, indexing='ij')
+        for i in range(nx):
+            for j in range(ny):
+                # treat xv[i,j], yv[i,j]
+
+        xv, yv = np.meshgrid(x, y, indexing='xy')
+        for i in range(nx):
+            for j in range(ny):
+                # treat xv[j,i], yv[j,i]
+
+    In the 1-D and 0-D case, the indexing and sparse keywords have no effect.
+
+    See Also
+    --------
+    mgrid : Construct a multi-dimensional "meshgrid" using indexing notation.
+    ogrid : Construct an open multi-dimensional "meshgrid" using indexing
+            notation.
+    :ref:`how-to-index`
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> nx, ny = (3, 2)
+    >>> x = np.linspace(0, 1, nx)
+    >>> y = np.linspace(0, 1, ny)
+    >>> xv, yv = np.meshgrid(x, y)
+    >>> xv
+    array([[0. , 0.5, 1. ],
+           [0. , 0.5, 1. ]])
+    >>> yv
+    array([[0.,  0.,  0.],
+           [1.,  1.,  1.]])
+
+    The result of `meshgrid` is a coordinate grid:
+
+    >>> import matplotlib.pyplot as plt
+    >>> plt.plot(xv, yv, marker='o', color='k', linestyle='none')
+    >>> plt.show()
+
+    You can create sparse output arrays to save memory and computation time.
+
+    >>> xv, yv = np.meshgrid(x, y, sparse=True)
+    >>> xv
+    array([[0. ,  0.5,  1. ]])
+    >>> yv
+    array([[0.],
+           [1.]])
+
+    `meshgrid` is very useful to evaluate functions on a grid. If the
+    function depends on all coordinates, both dense and sparse outputs can be
+    used.
+
+    >>> x = np.linspace(-5, 5, 101)
+    >>> y = np.linspace(-5, 5, 101)
+    >>> # full coordinate arrays
+    >>> xx, yy = np.meshgrid(x, y)
+    >>> zz = np.sqrt(xx**2 + yy**2)
+    >>> xx.shape, yy.shape, zz.shape
+    ((101, 101), (101, 101), (101, 101))
+    >>> # sparse coordinate arrays
+    >>> xs, ys = np.meshgrid(x, y, sparse=True)
+    >>> zs = np.sqrt(xs**2 + ys**2)
+    >>> xs.shape, ys.shape, zs.shape
+    ((1, 101), (101, 1), (101, 101))
+    >>> np.array_equal(zz, zs)
+    True
+
+    >>> h = plt.contourf(x, y, zs)
+    >>> plt.axis('scaled')
+    >>> plt.colorbar()
+    >>> plt.show()
+    """
+    ndim = len(xi)
+
+    if indexing not in ['xy', 'ij']:
+        raise ValueError(
+            "Valid values for `indexing` are 'xy' and 'ij'.")
+
+    s0 = (1,) * ndim
+    output = [np.asanyarray(x).reshape(s0[:i] + (-1,) + s0[i + 1:])
+              for i, x in enumerate(xi)]
+
+    if indexing == 'xy' and ndim > 1:
+        # switch first and second axis
+        output[0].shape = (1, -1) + s0[2:]
+        output[1].shape = (-1, 1) + s0[2:]
+
+    if not sparse:
+        # Return the full N-D matrix (not only the 1-D vector)
+        output = np.broadcast_arrays(*output, subok=True)
+
+    if copy:
+        output = tuple(x.copy() for x in output)
+
+    return output
+
+
+def _delete_dispatcher(arr, obj, axis=None):
+    return (arr, obj)
+
+
+@array_function_dispatch(_delete_dispatcher)
+def delete(arr, obj, axis=None):
+    """
+    Return a new array with sub-arrays along an axis deleted. For a one
+    dimensional array, this returns those entries not returned by
+    `arr[obj]`.
+
+    Parameters
+    ----------
+    arr : array_like
+        Input array.
+    obj : slice, int, array-like of ints or bools
+        Indicate indices of sub-arrays to remove along the specified axis.
+
+        .. versionchanged:: 1.19.0
+            Boolean indices are now treated as a mask of elements to remove,
+            rather than being cast to the integers 0 and 1.
+
+    axis : int, optional
+        The axis along which to delete the subarray defined by `obj`.
+        If `axis` is None, `obj` is applied to the flattened array.
+
+    Returns
+    -------
+    out : ndarray
+        A copy of `arr` with the elements specified by `obj` removed. Note
+        that `delete` does not occur in-place. If `axis` is None, `out` is
+        a flattened array.
+
+    See Also
+    --------
+    insert : Insert elements into an array.
+    append : Append elements at the end of an array.
+
+    Notes
+    -----
+    Often it is preferable to use a boolean mask. For example:
+
+    >>> arr = np.arange(12) + 1
+    >>> mask = np.ones(len(arr), dtype=bool)
+    >>> mask[[0,2,4]] = False
+    >>> result = arr[mask,...]
+
+    Is equivalent to ``np.delete(arr, [0,2,4], axis=0)``, but allows further
+    use of `mask`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = np.array([[1,2,3,4], [5,6,7,8], [9,10,11,12]])
+    >>> arr
+    array([[ 1,  2,  3,  4],
+           [ 5,  6,  7,  8],
+           [ 9, 10, 11, 12]])
+    >>> np.delete(arr, 1, 0)
+    array([[ 1,  2,  3,  4],
+           [ 9, 10, 11, 12]])
+
+    >>> np.delete(arr, np.s_[::2], 1)
+    array([[ 2,  4],
+           [ 6,  8],
+           [10, 12]])
+    >>> np.delete(arr, [1,3,5], None)
+    array([ 1,  3,  5,  7,  8,  9, 10, 11, 12])
+
+    """
+    conv = _array_converter(arr)
+    arr, = conv.as_arrays(subok=False)
+
+    ndim = arr.ndim
+    arrorder = 'F' if arr.flags.fnc else 'C'
+    if axis is None:
+        if ndim != 1:
+            arr = arr.ravel()
+        # needed for np.matrix, which is still not 1d after being ravelled
+        ndim = arr.ndim
+        axis = ndim - 1
+    else:
+        axis = normalize_axis_index(axis, ndim)
+
+    slobj = [slice(None)]*ndim
+    N = arr.shape[axis]
+    newshape = list(arr.shape)
+
+    if isinstance(obj, slice):
+        start, stop, step = obj.indices(N)
+        xr = range(start, stop, step)
+        numtodel = len(xr)
+
+        if numtodel <= 0:
+            return conv.wrap(arr.copy(order=arrorder), to_scalar=False)
+
+        # Invert if step is negative:
+        if step < 0:
+            step = -step
+            start = xr[-1]
+            stop = xr[0] + 1
+
+        newshape[axis] -= numtodel
+        new = empty(newshape, arr.dtype, arrorder)
+        # copy initial chunk
+        if start == 0:
+            pass
+        else:
+            slobj[axis] = slice(None, start)
+            new[tuple(slobj)] = arr[tuple(slobj)]
+        # copy end chunk
+        if stop == N:
+            pass
+        else:
+            slobj[axis] = slice(stop-numtodel, None)
+            slobj2 = [slice(None)]*ndim
+            slobj2[axis] = slice(stop, None)
+            new[tuple(slobj)] = arr[tuple(slobj2)]
+        # copy middle pieces
+        if step == 1:
+            pass
+        else:  # use array indexing.
+            keep = ones(stop-start, dtype=bool)
+            keep[:stop-start:step] = False
+            slobj[axis] = slice(start, stop-numtodel)
+            slobj2 = [slice(None)]*ndim
+            slobj2[axis] = slice(start, stop)
+            arr = arr[tuple(slobj2)]
+            slobj2[axis] = keep
+            new[tuple(slobj)] = arr[tuple(slobj2)]
+
+        return conv.wrap(new, to_scalar=False)
+
+    if isinstance(obj, (int, integer)) and not isinstance(obj, bool):
+        single_value = True
+    else:
+        single_value = False
+        _obj = obj
+        obj = np.asarray(obj)
+        # `size == 0` to allow empty lists similar to indexing, but (as there)
+        # is really too generic:
+        if obj.size == 0 and not isinstance(_obj, np.ndarray):
+            obj = obj.astype(intp)
+        elif obj.size == 1 and obj.dtype.kind in "ui":
+            # For a size 1 integer array we can use the single-value path
+            # (most dtypes, except boolean, should just fail later).
+            obj = obj.item()
+            single_value = True
+
+    if single_value:
+        # optimization for a single value
+        if (obj < -N or obj >= N):
+            raise IndexError(
+                "index %i is out of bounds for axis %i with "
+                "size %i" % (obj, axis, N))
+        if (obj < 0):
+            obj += N
+        newshape[axis] -= 1
+        new = empty(newshape, arr.dtype, arrorder)
+        slobj[axis] = slice(None, obj)
+        new[tuple(slobj)] = arr[tuple(slobj)]
+        slobj[axis] = slice(obj, None)
+        slobj2 = [slice(None)]*ndim
+        slobj2[axis] = slice(obj+1, None)
+        new[tuple(slobj)] = arr[tuple(slobj2)]
+    else:
+        if obj.dtype == bool:
+            if obj.shape != (N,):
+                raise ValueError('boolean array argument obj to delete '
+                                 'must be one dimensional and match the axis '
+                                 'length of {}'.format(N))
+
+            # optimization, the other branch is slower
+            keep = ~obj
+        else:
+            keep = ones(N, dtype=bool)
+            keep[obj,] = False
+
+        slobj[axis] = keep
+        new = arr[tuple(slobj)]
+
+    return conv.wrap(new, to_scalar=False)
+
+
+def _insert_dispatcher(arr, obj, values, axis=None):
+    return (arr, obj, values)
+
+
+@array_function_dispatch(_insert_dispatcher)
+def insert(arr, obj, values, axis=None):
+    """
+    Insert values along the given axis before the given indices.
+
+    Parameters
+    ----------
+    arr : array_like
+        Input array.
+    obj : slice, int, array-like of ints or bools
+        Object that defines the index or indices before which `values` is
+        inserted.
+
+        .. versionchanged:: 2.1.2
+            Boolean indices are now treated as a mask of elements to insert,
+            rather than being cast to the integers 0 and 1.
+
+        Support for multiple insertions when `obj` is a single scalar or a
+        sequence with one element (similar to calling insert multiple
+        times).
+    values : array_like
+        Values to insert into `arr`. If the type of `values` is different
+        from that of `arr`, `values` is converted to the type of `arr`.
+        `values` should be shaped so that ``arr[...,obj,...] = values``
+        is legal.
+    axis : int, optional
+        Axis along which to insert `values`.  If `axis` is None then `arr`
+        is flattened first.
+
+    Returns
+    -------
+    out : ndarray
+        A copy of `arr` with `values` inserted.  Note that `insert`
+        does not occur in-place: a new array is returned. If
+        `axis` is None, `out` is a flattened array.
+
+    See Also
+    --------
+    append : Append elements at the end of an array.
+    concatenate : Join a sequence of arrays along an existing axis.
+    delete : Delete elements from an array.
+
+    Notes
+    -----
+    Note that for higher dimensional inserts ``obj=0`` behaves very different
+    from ``obj=[0]`` just like ``arr[:,0,:] = values`` is different from
+    ``arr[:,[0],:] = values``. This is because of the difference between basic
+    and advanced :ref:`indexing `.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.arange(6).reshape(3, 2)
+    >>> a
+    array([[0, 1],
+           [2, 3],
+           [4, 5]])
+    >>> np.insert(a, 1, 6)
+    array([0, 6, 1, 2, 3, 4, 5])
+    >>> np.insert(a, 1, 6, axis=1)
+    array([[0, 6, 1],
+           [2, 6, 3],
+           [4, 6, 5]])
+
+    Difference between sequence and scalars,
+    showing how ``obj=[1]`` behaves different from ``obj=1``:
+
+    >>> np.insert(a, [1], [[7],[8],[9]], axis=1)
+    array([[0, 7, 1],
+           [2, 8, 3],
+           [4, 9, 5]])
+    >>> np.insert(a, 1, [[7],[8],[9]], axis=1)
+    array([[0, 7, 8, 9, 1],
+           [2, 7, 8, 9, 3],
+           [4, 7, 8, 9, 5]])
+    >>> np.array_equal(np.insert(a, 1, [7, 8, 9], axis=1),
+    ...                np.insert(a, [1], [[7],[8],[9]], axis=1))
+    True
+
+    >>> b = a.flatten()
+    >>> b
+    array([0, 1, 2, 3, 4, 5])
+    >>> np.insert(b, [2, 2], [6, 7])
+    array([0, 1, 6, 7, 2, 3, 4, 5])
+
+    >>> np.insert(b, slice(2, 4), [7, 8])
+    array([0, 1, 7, 2, 8, 3, 4, 5])
+
+    >>> np.insert(b, [2, 2], [7.13, False]) # type casting
+    array([0, 1, 7, 0, 2, 3, 4, 5])
+
+    >>> x = np.arange(8).reshape(2, 4)
+    >>> idx = (1, 3)
+    >>> np.insert(x, idx, 999, axis=1)
+    array([[  0, 999,   1,   2, 999,   3],
+           [  4, 999,   5,   6, 999,   7]])
+
+    """
+    conv = _array_converter(arr)
+    arr, = conv.as_arrays(subok=False)
+
+    ndim = arr.ndim
+    arrorder = 'F' if arr.flags.fnc else 'C'
+    if axis is None:
+        if ndim != 1:
+            arr = arr.ravel()
+        # needed for np.matrix, which is still not 1d after being ravelled
+        ndim = arr.ndim
+        axis = ndim - 1
+    else:
+        axis = normalize_axis_index(axis, ndim)
+    slobj = [slice(None)]*ndim
+    N = arr.shape[axis]
+    newshape = list(arr.shape)
+
+    if isinstance(obj, slice):
+        # turn it into a range object
+        indices = arange(*obj.indices(N), dtype=intp)
+    else:
+        # need to copy obj, because indices will be changed in-place
+        indices = np.array(obj)
+        if indices.dtype == bool:
+            if obj.ndim != 1:
+                raise ValueError('boolean array argument obj to insert '
+                                'must be one dimensional')
+            indices = np.flatnonzero(obj)
+        elif indices.ndim > 1:
+            raise ValueError(
+                "index array argument obj to insert must be one dimensional "
+                "or scalar")
+    if indices.size == 1:
+        index = indices.item()
+        if index < -N or index > N:
+            raise IndexError(f"index {obj} is out of bounds for axis {axis} "
+                             f"with size {N}")
+        if (index < 0):
+            index += N
+
+        # There are some object array corner cases here, but we cannot avoid
+        # that:
+        values = array(values, copy=None, ndmin=arr.ndim, dtype=arr.dtype)
+        if indices.ndim == 0:
+            # broadcasting is very different here, since a[:,0,:] = ... behaves
+            # very different from a[:,[0],:] = ...! This changes values so that
+            # it works likes the second case. (here a[:,0:1,:])
+            values = np.moveaxis(values, 0, axis)
+        numnew = values.shape[axis]
+        newshape[axis] += numnew
+        new = empty(newshape, arr.dtype, arrorder)
+        slobj[axis] = slice(None, index)
+        new[tuple(slobj)] = arr[tuple(slobj)]
+        slobj[axis] = slice(index, index+numnew)
+        new[tuple(slobj)] = values
+        slobj[axis] = slice(index+numnew, None)
+        slobj2 = [slice(None)] * ndim
+        slobj2[axis] = slice(index, None)
+        new[tuple(slobj)] = arr[tuple(slobj2)]
+
+        return conv.wrap(new, to_scalar=False)
+
+    elif indices.size == 0 and not isinstance(obj, np.ndarray):
+        # Can safely cast the empty list to intp
+        indices = indices.astype(intp)
+
+    indices[indices < 0] += N
+
+    numnew = len(indices)
+    order = indices.argsort(kind='mergesort')   # stable sort
+    indices[order] += np.arange(numnew)
+
+    newshape[axis] += numnew
+    old_mask = ones(newshape[axis], dtype=bool)
+    old_mask[indices] = False
+
+    new = empty(newshape, arr.dtype, arrorder)
+    slobj2 = [slice(None)]*ndim
+    slobj[axis] = indices
+    slobj2[axis] = old_mask
+    new[tuple(slobj)] = values
+    new[tuple(slobj2)] = arr
+
+    return conv.wrap(new, to_scalar=False)
+
+
+def _append_dispatcher(arr, values, axis=None):
+    return (arr, values)
+
+
+@array_function_dispatch(_append_dispatcher)
+def append(arr, values, axis=None):
+    """
+    Append values to the end of an array.
+
+    Parameters
+    ----------
+    arr : array_like
+        Values are appended to a copy of this array.
+    values : array_like
+        These values are appended to a copy of `arr`.  It must be of the
+        correct shape (the same shape as `arr`, excluding `axis`).  If
+        `axis` is not specified, `values` can be any shape and will be
+        flattened before use.
+    axis : int, optional
+        The axis along which `values` are appended.  If `axis` is not
+        given, both `arr` and `values` are flattened before use.
+
+    Returns
+    -------
+    append : ndarray
+        A copy of `arr` with `values` appended to `axis`.  Note that
+        `append` does not occur in-place: a new array is allocated and
+        filled.  If `axis` is None, `out` is a flattened array.
+
+    See Also
+    --------
+    insert : Insert elements into an array.
+    delete : Delete elements from an array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.append([1, 2, 3], [[4, 5, 6], [7, 8, 9]])
+    array([1, 2, 3, ..., 7, 8, 9])
+
+    When `axis` is specified, `values` must have the correct shape.
+
+    >>> np.append([[1, 2, 3], [4, 5, 6]], [[7, 8, 9]], axis=0)
+    array([[1, 2, 3],
+           [4, 5, 6],
+           [7, 8, 9]])
+
+    >>> np.append([[1, 2, 3], [4, 5, 6]], [7, 8, 9], axis=0)
+    Traceback (most recent call last):
+        ...
+    ValueError: all the input arrays must have same number of dimensions, but
+    the array at index 0 has 2 dimension(s) and the array at index 1 has 1
+    dimension(s)
+
+    >>> a = np.array([1, 2], dtype=int)
+    >>> c = np.append(a, [])
+    >>> c
+    array([1., 2.])
+    >>> c.dtype
+    float64
+
+    Default dtype for empty ndarrays is `float64` thus making the output of dtype
+    `float64` when appended with dtype `int64`
+
+    """
+    arr = asanyarray(arr)
+    if axis is None:
+        if arr.ndim != 1:
+            arr = arr.ravel()
+        values = ravel(values)
+        axis = arr.ndim-1
+    return concatenate((arr, values), axis=axis)
+
+
+def _digitize_dispatcher(x, bins, right=None):
+    return (x, bins)
+
+
+@array_function_dispatch(_digitize_dispatcher)
+def digitize(x, bins, right=False):
+    """
+    Return the indices of the bins to which each value in input array belongs.
+
+    =========  =============  ============================
+    `right`    order of bins  returned index `i` satisfies
+    =========  =============  ============================
+    ``False``  increasing     ``bins[i-1] <= x < bins[i]``
+    ``True``   increasing     ``bins[i-1] < x <= bins[i]``
+    ``False``  decreasing     ``bins[i-1] > x >= bins[i]``
+    ``True``   decreasing     ``bins[i-1] >= x > bins[i]``
+    =========  =============  ============================
+
+    If values in `x` are beyond the bounds of `bins`, 0 or ``len(bins)`` is
+    returned as appropriate.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array to be binned. Prior to NumPy 1.10.0, this array had to
+        be 1-dimensional, but can now have any shape.
+    bins : array_like
+        Array of bins. It has to be 1-dimensional and monotonic.
+    right : bool, optional
+        Indicating whether the intervals include the right or the left bin
+        edge. Default behavior is (right==False) indicating that the interval
+        does not include the right edge. The left bin end is open in this
+        case, i.e., bins[i-1] <= x < bins[i] is the default behavior for
+        monotonically increasing bins.
+
+    Returns
+    -------
+    indices : ndarray of ints
+        Output array of indices, of same shape as `x`.
+
+    Raises
+    ------
+    ValueError
+        If `bins` is not monotonic.
+    TypeError
+        If the type of the input is complex.
+
+    See Also
+    --------
+    bincount, histogram, unique, searchsorted
+
+    Notes
+    -----
+    If values in `x` are such that they fall outside the bin range,
+    attempting to index `bins` with the indices that `digitize` returns
+    will result in an IndexError.
+
+    .. versionadded:: 1.10.0
+
+    `numpy.digitize` is  implemented in terms of `numpy.searchsorted`.
+    This means that a binary search is used to bin the values, which scales
+    much better for larger number of bins than the previous linear search.
+    It also removes the requirement for the input array to be 1-dimensional.
+
+    For monotonically *increasing* `bins`, the following are equivalent::
+
+        np.digitize(x, bins, right=True)
+        np.searchsorted(bins, x, side='left')
+
+    Note that as the order of the arguments are reversed, the side must be too.
+    The `searchsorted` call is marginally faster, as it does not do any
+    monotonicity checks. Perhaps more importantly, it supports all dtypes.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.array([0.2, 6.4, 3.0, 1.6])
+    >>> bins = np.array([0.0, 1.0, 2.5, 4.0, 10.0])
+    >>> inds = np.digitize(x, bins)
+    >>> inds
+    array([1, 4, 3, 2])
+    >>> for n in range(x.size):
+    ...   print(bins[inds[n]-1], "<=", x[n], "<", bins[inds[n]])
+    ...
+    0.0 <= 0.2 < 1.0
+    4.0 <= 6.4 < 10.0
+    2.5 <= 3.0 < 4.0
+    1.0 <= 1.6 < 2.5
+
+    >>> x = np.array([1.2, 10.0, 12.4, 15.5, 20.])
+    >>> bins = np.array([0, 5, 10, 15, 20])
+    >>> np.digitize(x,bins,right=True)
+    array([1, 2, 3, 4, 4])
+    >>> np.digitize(x,bins,right=False)
+    array([1, 3, 3, 4, 5])
+    """
+    x = _nx.asarray(x)
+    bins = _nx.asarray(bins)
+
+    # here for compatibility, searchsorted below is happy to take this
+    if np.issubdtype(x.dtype, _nx.complexfloating):
+        raise TypeError("x may not be complex")
+
+    mono = _monotonicity(bins)
+    if mono == 0:
+        raise ValueError("bins must be monotonically increasing or decreasing")
+
+    # this is backwards because the arguments below are swapped
+    side = 'left' if right else 'right'
+    if mono == -1:
+        # reverse the bins, and invert the results
+        return len(bins) - _nx.searchsorted(bins[::-1], x, side=side)
+    else:
+        return _nx.searchsorted(bins, x, side=side)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_function_base_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_function_base_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..e98dcbb7e74155442daead8e16b6f888c10617fb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_function_base_impl.pyi
@@ -0,0 +1,894 @@
+# ruff: noqa: ANN401
+from collections.abc import Callable, Iterable, Sequence
+from typing import (
+    Any,
+    Concatenate,
+    ParamSpec,
+    Protocol,
+    SupportsIndex,
+    SupportsInt,
+    TypeAlias,
+    TypeVar,
+    overload,
+    type_check_only,
+)
+from typing import Literal as L
+
+from _typeshed import Incomplete
+from typing_extensions import TypeIs, deprecated
+
+import numpy as np
+from numpy import (
+    _OrderKACF,
+    bool_,
+    complex128,
+    complexfloating,
+    datetime64,
+    float64,
+    floating,
+    generic,
+    integer,
+    intp,
+    object_,
+    timedelta64,
+    vectorize,
+)
+from numpy._core.multiarray import bincount
+from numpy._globals import _NoValueType
+from numpy._typing import (
+    ArrayLike,
+    DTypeLike,
+    NDArray,
+    _ArrayLike,
+    _ArrayLikeBool_co,
+    _ArrayLikeComplex_co,
+    _ArrayLikeDT64_co,
+    _ArrayLikeFloat_co,
+    _ArrayLikeInt_co,
+    _ArrayLikeNumber_co,
+    _ArrayLikeObject_co,
+    _ArrayLikeTD64_co,
+    _ComplexLike_co,
+    _DTypeLike,
+    _FloatLike_co,
+    _NestedSequence,
+    _NumberLike_co,
+    _ScalarLike_co,
+    _ShapeLike,
+)
+
+__all__ = [
+    "select",
+    "piecewise",
+    "trim_zeros",
+    "copy",
+    "iterable",
+    "percentile",
+    "diff",
+    "gradient",
+    "angle",
+    "unwrap",
+    "sort_complex",
+    "flip",
+    "rot90",
+    "extract",
+    "place",
+    "vectorize",
+    "asarray_chkfinite",
+    "average",
+    "bincount",
+    "digitize",
+    "cov",
+    "corrcoef",
+    "median",
+    "sinc",
+    "hamming",
+    "hanning",
+    "bartlett",
+    "blackman",
+    "kaiser",
+    "trapezoid",
+    "trapz",
+    "i0",
+    "meshgrid",
+    "delete",
+    "insert",
+    "append",
+    "interp",
+    "quantile",
+]
+
+_T = TypeVar("_T")
+_T_co = TypeVar("_T_co", covariant=True)
+# The `{}ss` suffix refers to the Python 3.12 syntax: `**P`
+_Pss = ParamSpec("_Pss")
+_SCT = TypeVar("_SCT", bound=generic)
+_ArrayType = TypeVar("_ArrayType", bound=NDArray[Any])
+
+_2Tuple: TypeAlias = tuple[_T, _T]
+
+@type_check_only
+class _TrimZerosSequence(Protocol[_T_co]):
+    def __len__(self, /) -> int: ...
+    @overload
+    def __getitem__(self, key: int, /) -> object: ...
+    @overload
+    def __getitem__(self, key: slice, /) -> _T_co: ...
+
+###
+
+@overload
+def rot90(
+    m: _ArrayLike[_SCT],
+    k: int = ...,
+    axes: tuple[int, int] = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def rot90(
+    m: ArrayLike,
+    k: int = ...,
+    axes: tuple[int, int] = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def flip(m: _SCT, axis: None = ...) -> _SCT: ...
+@overload
+def flip(m: _ScalarLike_co, axis: None = ...) -> Any: ...
+@overload
+def flip(m: _ArrayLike[_SCT], axis: None | _ShapeLike = ...) -> NDArray[_SCT]: ...
+@overload
+def flip(m: ArrayLike, axis: None | _ShapeLike = ...) -> NDArray[Any]: ...
+
+def iterable(y: object) -> TypeIs[Iterable[Any]]: ...
+
+@overload
+def average(
+    a: _ArrayLikeFloat_co,
+    axis: None = None,
+    weights: _ArrayLikeFloat_co | None = None,
+    returned: L[False] = False,
+    *,
+    keepdims: L[False] | _NoValueType = ...,
+) -> floating: ...
+@overload
+def average(
+    a: _ArrayLikeFloat_co,
+    axis: None = None,
+    weights: _ArrayLikeFloat_co | None = None,
+    *,
+    returned: L[True],
+    keepdims: L[False] | _NoValueType = ...,
+) -> _2Tuple[floating]: ...
+@overload
+def average(
+    a: _ArrayLikeComplex_co,
+    axis: None = None,
+    weights: _ArrayLikeComplex_co | None = None,
+    returned: L[False] = False,
+    *,
+    keepdims: L[False] | _NoValueType = ...,
+) -> complexfloating: ...
+@overload
+def average(
+    a: _ArrayLikeComplex_co,
+    axis: None = None,
+    weights: _ArrayLikeComplex_co | None = None,
+    *,
+    returned: L[True],
+    keepdims: L[False] | _NoValueType = ...,
+) -> _2Tuple[complexfloating]: ...
+@overload
+def average(
+    a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+    axis: _ShapeLike | None = None,
+    weights: object | None = None,
+    *,
+    returned: L[True],
+    keepdims: bool | bool_ | _NoValueType = ...,
+) -> _2Tuple[Incomplete]: ...
+@overload
+def average(
+    a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+    axis: _ShapeLike | None = None,
+    weights: object | None = None,
+    returned: bool | bool_ = False,
+    *,
+    keepdims: bool | bool_ | _NoValueType = ...,
+) -> Incomplete: ...
+
+@overload
+def asarray_chkfinite(
+    a: _ArrayLike[_SCT],
+    dtype: None = ...,
+    order: _OrderKACF = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def asarray_chkfinite(
+    a: object,
+    dtype: None = ...,
+    order: _OrderKACF = ...,
+) -> NDArray[Any]: ...
+@overload
+def asarray_chkfinite(
+    a: Any,
+    dtype: _DTypeLike[_SCT],
+    order: _OrderKACF = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def asarray_chkfinite(
+    a: Any,
+    dtype: DTypeLike,
+    order: _OrderKACF = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def piecewise(
+    x: _ArrayLike[_SCT],
+    condlist: _ArrayLike[bool_] | Sequence[_ArrayLikeBool_co],
+    funclist: Sequence[
+        Callable[Concatenate[NDArray[_SCT], _Pss], NDArray[_SCT | Any]]
+        | _SCT | object
+    ],
+    /,
+    *args: _Pss.args,
+    **kw: _Pss.kwargs,
+) -> NDArray[_SCT]: ...
+@overload
+def piecewise(
+    x: ArrayLike,
+    condlist: _ArrayLike[bool_] | Sequence[_ArrayLikeBool_co],
+    funclist: Sequence[
+        Callable[Concatenate[NDArray[Any], _Pss], NDArray[Any]]
+        | object
+    ],
+    /,
+    *args: _Pss.args,
+    **kw: _Pss.kwargs,
+) -> NDArray[Any]: ...
+
+def select(
+    condlist: Sequence[ArrayLike],
+    choicelist: Sequence[ArrayLike],
+    default: ArrayLike = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def copy(
+    a: _ArrayType,
+    order: _OrderKACF,
+    subok: L[True],
+) -> _ArrayType: ...
+@overload
+def copy(
+    a: _ArrayType,
+    order: _OrderKACF = ...,
+    *,
+    subok: L[True],
+) -> _ArrayType: ...
+@overload
+def copy(
+    a: _ArrayLike[_SCT],
+    order: _OrderKACF = ...,
+    subok: L[False] = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def copy(
+    a: ArrayLike,
+    order: _OrderKACF = ...,
+    subok: L[False] = ...,
+) -> NDArray[Any]: ...
+
+def gradient(
+    f: ArrayLike,
+    *varargs: ArrayLike,
+    axis: None | _ShapeLike = ...,
+    edge_order: L[1, 2] = ...,
+) -> Any: ...
+
+@overload
+def diff(
+    a: _T,
+    n: L[0],
+    axis: SupportsIndex = ...,
+    prepend: ArrayLike = ...,
+    append: ArrayLike = ...,
+) -> _T: ...
+@overload
+def diff(
+    a: ArrayLike,
+    n: int = ...,
+    axis: SupportsIndex = ...,
+    prepend: ArrayLike = ...,
+    append: ArrayLike = ...,
+) -> NDArray[Any]: ...
+
+@overload  # float scalar
+def interp(
+    x: _FloatLike_co,
+    xp: _ArrayLikeFloat_co,
+    fp: _ArrayLikeFloat_co,
+    left: _FloatLike_co | None = None,
+    right: _FloatLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> float64: ...
+@overload  # float array
+def interp(
+    x: NDArray[floating | integer | np.bool] | _NestedSequence[_FloatLike_co],
+    xp: _ArrayLikeFloat_co,
+    fp: _ArrayLikeFloat_co,
+    left: _FloatLike_co | None = None,
+    right: _FloatLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> NDArray[float64]: ...
+@overload  # float scalar or array
+def interp(
+    x: _ArrayLikeFloat_co,
+    xp: _ArrayLikeFloat_co,
+    fp: _ArrayLikeFloat_co,
+    left: _FloatLike_co | None = None,
+    right: _FloatLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> NDArray[float64] | float64: ...
+@overload  # complex scalar
+def interp(
+    x: _FloatLike_co,
+    xp: _ArrayLikeFloat_co,
+    fp: _ArrayLike[complexfloating],
+    left: _NumberLike_co | None = None,
+    right: _NumberLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> complex128: ...
+@overload  # complex or float scalar
+def interp(
+    x: _FloatLike_co,
+    xp: _ArrayLikeFloat_co,
+    fp: Sequence[complex | complexfloating],
+    left: _NumberLike_co | None = None,
+    right: _NumberLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> complex128 | float64: ...
+@overload  # complex array
+def interp(
+    x: NDArray[floating | integer | np.bool] | _NestedSequence[_FloatLike_co],
+    xp: _ArrayLikeFloat_co,
+    fp: _ArrayLike[complexfloating],
+    left: _NumberLike_co | None = None,
+    right: _NumberLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> NDArray[complex128]: ...
+@overload  # complex or float array
+def interp(
+    x: NDArray[floating | integer | np.bool] | _NestedSequence[_FloatLike_co],
+    xp: _ArrayLikeFloat_co,
+    fp: Sequence[complex | complexfloating],
+    left: _NumberLike_co | None = None,
+    right: _NumberLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> NDArray[complex128 | float64]: ...
+@overload  # complex scalar or array
+def interp(
+    x: _ArrayLikeFloat_co,
+    xp: _ArrayLikeFloat_co,
+    fp: _ArrayLike[complexfloating],
+    left: _NumberLike_co | None = None,
+    right: _NumberLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> NDArray[complex128] | complex128: ...
+@overload  # complex or float scalar or array
+def interp(
+    x: _ArrayLikeFloat_co,
+    xp: _ArrayLikeFloat_co,
+    fp: _ArrayLikeNumber_co,
+    left: _NumberLike_co | None = None,
+    right: _NumberLike_co | None = None,
+    period: _FloatLike_co | None = None,
+) -> NDArray[complex128 | float64] | complex128 | float64: ...
+
+@overload
+def angle(z: _ComplexLike_co, deg: bool = ...) -> floating[Any]: ...
+@overload
+def angle(z: object_, deg: bool = ...) -> Any: ...
+@overload
+def angle(z: _ArrayLikeComplex_co, deg: bool = ...) -> NDArray[floating[Any]]: ...
+@overload
+def angle(z: _ArrayLikeObject_co, deg: bool = ...) -> NDArray[object_]: ...
+
+@overload
+def unwrap(
+    p: _ArrayLikeFloat_co,
+    discont: None | float = ...,
+    axis: int = ...,
+    *,
+    period: float = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def unwrap(
+    p: _ArrayLikeObject_co,
+    discont: None | float = ...,
+    axis: int = ...,
+    *,
+    period: float = ...,
+) -> NDArray[object_]: ...
+
+def sort_complex(a: ArrayLike) -> NDArray[complexfloating[Any, Any]]: ...
+
+def trim_zeros(
+    filt: _TrimZerosSequence[_T],
+    trim: L["f", "b", "fb", "bf"] = ...,
+) -> _T: ...
+
+@overload
+def extract(condition: ArrayLike, arr: _ArrayLike[_SCT]) -> NDArray[_SCT]: ...
+@overload
+def extract(condition: ArrayLike, arr: ArrayLike) -> NDArray[Any]: ...
+
+def place(arr: NDArray[Any], mask: ArrayLike, vals: Any) -> None: ...
+
+@overload
+def cov(
+    m: _ArrayLikeFloat_co,
+    y: None | _ArrayLikeFloat_co = ...,
+    rowvar: bool = ...,
+    bias: bool = ...,
+    ddof: None | SupportsIndex | SupportsInt = ...,
+    fweights: None | ArrayLike = ...,
+    aweights: None | ArrayLike = ...,
+    *,
+    dtype: None = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def cov(
+    m: _ArrayLikeComplex_co,
+    y: None | _ArrayLikeComplex_co = ...,
+    rowvar: bool = ...,
+    bias: bool = ...,
+    ddof: None | SupportsIndex | SupportsInt = ...,
+    fweights: None | ArrayLike = ...,
+    aweights: None | ArrayLike = ...,
+    *,
+    dtype: None = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def cov(
+    m: _ArrayLikeComplex_co,
+    y: None | _ArrayLikeComplex_co = ...,
+    rowvar: bool = ...,
+    bias: bool = ...,
+    ddof: None | SupportsIndex | SupportsInt = ...,
+    fweights: None | ArrayLike = ...,
+    aweights: None | ArrayLike = ...,
+    *,
+    dtype: _DTypeLike[_SCT],
+) -> NDArray[_SCT]: ...
+@overload
+def cov(
+    m: _ArrayLikeComplex_co,
+    y: None | _ArrayLikeComplex_co = ...,
+    rowvar: bool = ...,
+    bias: bool = ...,
+    ddof: None | SupportsIndex | SupportsInt = ...,
+    fweights: None | ArrayLike = ...,
+    aweights: None | ArrayLike = ...,
+    *,
+    dtype: DTypeLike,
+) -> NDArray[Any]: ...
+
+# NOTE `bias` and `ddof` are deprecated and ignored
+@overload
+def corrcoef(
+    m: _ArrayLikeFloat_co,
+    y: _ArrayLikeFloat_co | None = None,
+    rowvar: bool = True,
+    bias: _NoValueType = ...,
+    ddof: _NoValueType = ...,
+    *,
+    dtype: None = None,
+) -> NDArray[floating]: ...
+@overload
+def corrcoef(
+    m: _ArrayLikeComplex_co,
+    y: _ArrayLikeComplex_co | None = None,
+    rowvar: bool = True,
+    bias: _NoValueType = ...,
+    ddof: _NoValueType = ...,
+    *,
+    dtype: None = None,
+) -> NDArray[complexfloating]: ...
+@overload
+def corrcoef(
+    m: _ArrayLikeComplex_co,
+    y: _ArrayLikeComplex_co | None = None,
+    rowvar: bool = True,
+    bias: _NoValueType = ...,
+    ddof: _NoValueType = ...,
+    *,
+    dtype: _DTypeLike[_SCT],
+) -> NDArray[_SCT]: ...
+@overload
+def corrcoef(
+    m: _ArrayLikeComplex_co,
+    y: _ArrayLikeComplex_co | None = None,
+    rowvar: bool = True,
+    bias: _NoValueType = ...,
+    ddof: _NoValueType = ...,
+    *,
+    dtype: DTypeLike | None = None,
+) -> NDArray[Any]: ...
+
+def blackman(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
+
+def bartlett(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
+
+def hanning(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
+
+def hamming(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
+
+def i0(x: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ...
+
+def kaiser(
+    M: _FloatLike_co,
+    beta: _FloatLike_co,
+) -> NDArray[floating[Any]]: ...
+
+@overload
+def sinc(x: _FloatLike_co) -> floating[Any]: ...
+@overload
+def sinc(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def sinc(x: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ...
+@overload
+def sinc(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def median(
+    a: _ArrayLikeFloat_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    keepdims: L[False] = ...,
+) -> floating[Any]: ...
+@overload
+def median(
+    a: _ArrayLikeComplex_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    keepdims: L[False] = ...,
+) -> complexfloating[Any, Any]: ...
+@overload
+def median(
+    a: _ArrayLikeTD64_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    keepdims: L[False] = ...,
+) -> timedelta64: ...
+@overload
+def median(
+    a: _ArrayLikeObject_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    keepdims: L[False] = ...,
+) -> Any: ...
+@overload
+def median(
+    a: _ArrayLikeFloat_co | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    axis: None | _ShapeLike = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    keepdims: bool = ...,
+) -> Any: ...
+@overload
+def median(
+    a: _ArrayLikeFloat_co | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    axis: None | _ShapeLike,
+    out: _ArrayType,
+    overwrite_input: bool = ...,
+    keepdims: bool = ...,
+) -> _ArrayType: ...
+@overload
+def median(
+    a: _ArrayLikeFloat_co | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    axis: None | _ShapeLike = ...,
+    *,
+    out: _ArrayType,
+    overwrite_input: bool = ...,
+    keepdims: bool = ...,
+) -> _ArrayType: ...
+
+_MethodKind = L[
+    "inverted_cdf",
+    "averaged_inverted_cdf",
+    "closest_observation",
+    "interpolated_inverted_cdf",
+    "hazen",
+    "weibull",
+    "linear",
+    "median_unbiased",
+    "normal_unbiased",
+    "lower",
+    "higher",
+    "midpoint",
+    "nearest",
+]
+
+@overload
+def percentile(
+    a: _ArrayLikeFloat_co,
+    q: _FloatLike_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> floating[Any]: ...
+@overload
+def percentile(
+    a: _ArrayLikeComplex_co,
+    q: _FloatLike_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> complexfloating[Any, Any]: ...
+@overload
+def percentile(
+    a: _ArrayLikeTD64_co,
+    q: _FloatLike_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> timedelta64: ...
+@overload
+def percentile(
+    a: _ArrayLikeDT64_co,
+    q: _FloatLike_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> datetime64: ...
+@overload
+def percentile(
+    a: _ArrayLikeObject_co,
+    q: _FloatLike_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> Any: ...
+@overload
+def percentile(
+    a: _ArrayLikeFloat_co,
+    q: _ArrayLikeFloat_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def percentile(
+    a: _ArrayLikeComplex_co,
+    q: _ArrayLikeFloat_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def percentile(
+    a: _ArrayLikeTD64_co,
+    q: _ArrayLikeFloat_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> NDArray[timedelta64]: ...
+@overload
+def percentile(
+    a: _ArrayLikeDT64_co,
+    q: _ArrayLikeFloat_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> NDArray[datetime64]: ...
+@overload
+def percentile(
+    a: _ArrayLikeObject_co,
+    q: _ArrayLikeFloat_co,
+    axis: None = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: L[False] = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> NDArray[object_]: ...
+@overload
+def percentile(
+    a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    q: _ArrayLikeFloat_co,
+    axis: None | _ShapeLike = ...,
+    out: None = ...,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: bool = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> Any: ...
+@overload
+def percentile(
+    a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    q: _ArrayLikeFloat_co,
+    axis: None | _ShapeLike,
+    out: _ArrayType,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: bool = ...,
+    *,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> _ArrayType: ...
+@overload
+def percentile(
+    a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    q: _ArrayLikeFloat_co,
+    axis: None | _ShapeLike = ...,
+    *,
+    out: _ArrayType,
+    overwrite_input: bool = ...,
+    method: _MethodKind = ...,
+    keepdims: bool = ...,
+    weights: None | _ArrayLikeFloat_co = ...,
+) -> _ArrayType: ...
+
+# NOTE: Not an alias, but they do have identical signatures
+# (that we can reuse)
+quantile = percentile
+
+
+_SCT_fm = TypeVar(
+    "_SCT_fm",
+    bound=floating[Any] | complexfloating[Any, Any] | timedelta64,
+)
+
+class _SupportsRMulFloat(Protocol[_T_co]):
+    def __rmul__(self, other: float, /) -> _T_co: ...
+
+@overload
+def trapezoid(  # type: ignore[overload-overlap]
+    y: Sequence[_FloatLike_co],
+    x: Sequence[_FloatLike_co] | None = ...,
+    dx: float = ...,
+    axis: SupportsIndex = ...,
+) -> float64: ...
+@overload
+def trapezoid(
+    y: Sequence[_ComplexLike_co],
+    x: Sequence[_ComplexLike_co] | None = ...,
+    dx: float = ...,
+    axis: SupportsIndex = ...,
+) -> complex128: ...
+@overload
+def trapezoid(
+    y: _ArrayLike[bool_ | integer[Any]],
+    x: _ArrayLike[bool_ | integer[Any]] | None = ...,
+    dx: float = ...,
+    axis: SupportsIndex = ...,
+) -> float64 | NDArray[float64]: ...
+@overload
+def trapezoid(  # type: ignore[overload-overlap]
+    y: _ArrayLikeObject_co,
+    x: _ArrayLikeFloat_co | _ArrayLikeObject_co | None = ...,
+    dx: float = ...,
+    axis: SupportsIndex = ...,
+) -> float | NDArray[object_]: ...
+@overload
+def trapezoid(
+    y: _ArrayLike[_SCT_fm],
+    x: _ArrayLike[_SCT_fm] | _ArrayLikeInt_co | None = ...,
+    dx: float = ...,
+    axis: SupportsIndex = ...,
+) -> _SCT_fm | NDArray[_SCT_fm]: ...
+@overload
+def trapezoid(
+    y: Sequence[_SupportsRMulFloat[_T]],
+    x: Sequence[_SupportsRMulFloat[_T] | _T] | None = ...,
+    dx: float = ...,
+    axis: SupportsIndex = ...,
+) -> _T: ...
+@overload
+def trapezoid(
+    y: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    x: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co | None = ...,
+    dx: float = ...,
+    axis: SupportsIndex = ...,
+) -> (
+    floating[Any] | complexfloating[Any, Any] | timedelta64
+    | NDArray[floating[Any] | complexfloating[Any, Any] | timedelta64 | object_]
+): ...
+
+@deprecated("Use 'trapezoid' instead")
+def trapz(y: ArrayLike, x: ArrayLike | None = None, dx: float = 1.0, axis: int = -1) -> generic | NDArray[generic]: ...
+
+def meshgrid(
+    *xi: ArrayLike,
+    copy: bool = ...,
+    sparse: bool = ...,
+    indexing: L["xy", "ij"] = ...,
+) -> tuple[NDArray[Any], ...]: ...
+
+@overload
+def delete(
+    arr: _ArrayLike[_SCT],
+    obj: slice | _ArrayLikeInt_co,
+    axis: None | SupportsIndex = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def delete(
+    arr: ArrayLike,
+    obj: slice | _ArrayLikeInt_co,
+    axis: None | SupportsIndex = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def insert(
+    arr: _ArrayLike[_SCT],
+    obj: slice | _ArrayLikeInt_co,
+    values: ArrayLike,
+    axis: None | SupportsIndex = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def insert(
+    arr: ArrayLike,
+    obj: slice | _ArrayLikeInt_co,
+    values: ArrayLike,
+    axis: None | SupportsIndex = ...,
+) -> NDArray[Any]: ...
+
+def append(
+    arr: ArrayLike,
+    values: ArrayLike,
+    axis: None | SupportsIndex = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def digitize(
+    x: _FloatLike_co,
+    bins: _ArrayLikeFloat_co,
+    right: bool = ...,
+) -> intp: ...
+@overload
+def digitize(
+    x: _ArrayLikeFloat_co,
+    bins: _ArrayLikeFloat_co,
+    right: bool = ...,
+) -> NDArray[intp]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_histograms_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_histograms_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..b361bb4f91ac0723f65399cd6b73048649179c2b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_histograms_impl.py
@@ -0,0 +1,1090 @@
+"""
+Histogram-related functions
+"""
+import contextlib
+import functools
+import operator
+import warnings
+
+import numpy as np
+from numpy._core import overrides
+
+__all__ = ['histogram', 'histogramdd', 'histogram_bin_edges']
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+# range is a keyword argument to many functions, so save the builtin so they can
+# use it.
+_range = range
+
+
+def _ptp(x):
+    """Peak-to-peak value of x.
+
+    This implementation avoids the problem of signed integer arrays having a
+    peak-to-peak value that cannot be represented with the array's data type.
+    This function returns an unsigned value for signed integer arrays.
+    """
+    return _unsigned_subtract(x.max(), x.min())
+
+
+def _hist_bin_sqrt(x, range):
+    """
+    Square root histogram bin estimator.
+
+    Bin width is inversely proportional to the data size. Used by many
+    programs for its simplicity.
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+    """
+    del range  # unused
+    return _ptp(x) / np.sqrt(x.size)
+
+
+def _hist_bin_sturges(x, range):
+    """
+    Sturges histogram bin estimator.
+
+    A very simplistic estimator based on the assumption of normality of
+    the data. This estimator has poor performance for non-normal data,
+    which becomes especially obvious for large data sets. The estimate
+    depends only on size of the data.
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+    """
+    del range  # unused
+    return _ptp(x) / (np.log2(x.size) + 1.0)
+
+
+def _hist_bin_rice(x, range):
+    """
+    Rice histogram bin estimator.
+
+    Another simple estimator with no normality assumption. It has better
+    performance for large data than Sturges, but tends to overestimate
+    the number of bins. The number of bins is proportional to the cube
+    root of data size (asymptotically optimal). The estimate depends
+    only on size of the data.
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+    """
+    del range  # unused
+    return _ptp(x) / (2.0 * x.size ** (1.0 / 3))
+
+
+def _hist_bin_scott(x, range):
+    """
+    Scott histogram bin estimator.
+
+    The binwidth is proportional to the standard deviation of the data
+    and inversely proportional to the cube root of data size
+    (asymptotically optimal).
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+    """
+    del range  # unused
+    return (24.0 * np.pi**0.5 / x.size)**(1.0 / 3.0) * np.std(x)
+
+
+def _hist_bin_stone(x, range):
+    """
+    Histogram bin estimator based on minimizing the estimated integrated squared error (ISE).
+
+    The number of bins is chosen by minimizing the estimated ISE against the unknown true distribution.
+    The ISE is estimated using cross-validation and can be regarded as a generalization of Scott's rule.
+    https://en.wikipedia.org/wiki/Histogram#Scott.27s_normal_reference_rule
+
+    This paper by Stone appears to be the origination of this rule.
+    https://digitalassets.lib.berkeley.edu/sdtr/ucb/text/34.pdf
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+    range : (float, float)
+        The lower and upper range of the bins.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+    """
+
+    n = x.size
+    ptp_x = _ptp(x)
+    if n <= 1 or ptp_x == 0:
+        return 0
+
+    def jhat(nbins):
+        hh = ptp_x / nbins
+        p_k = np.histogram(x, bins=nbins, range=range)[0] / n
+        return (2 - (n + 1) * p_k.dot(p_k)) / hh
+
+    nbins_upper_bound = max(100, int(np.sqrt(n)))
+    nbins = min(_range(1, nbins_upper_bound + 1), key=jhat)
+    if nbins == nbins_upper_bound:
+        warnings.warn("The number of bins estimated may be suboptimal.",
+                      RuntimeWarning, stacklevel=3)
+    return ptp_x / nbins
+
+
+def _hist_bin_doane(x, range):
+    """
+    Doane's histogram bin estimator.
+
+    Improved version of Sturges' formula which works better for
+    non-normal data. See
+    stats.stackexchange.com/questions/55134/doanes-formula-for-histogram-binning
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+    """
+    del range  # unused
+    if x.size > 2:
+        sg1 = np.sqrt(6.0 * (x.size - 2) / ((x.size + 1.0) * (x.size + 3)))
+        sigma = np.std(x)
+        if sigma > 0.0:
+            # These three operations add up to
+            # g1 = np.mean(((x - np.mean(x)) / sigma)**3)
+            # but use only one temp array instead of three
+            temp = x - np.mean(x)
+            np.true_divide(temp, sigma, temp)
+            np.power(temp, 3, temp)
+            g1 = np.mean(temp)
+            return _ptp(x) / (1.0 + np.log2(x.size) +
+                                    np.log2(1.0 + np.absolute(g1) / sg1))
+    return 0.0
+
+
+def _hist_bin_fd(x, range):
+    """
+    The Freedman-Diaconis histogram bin estimator.
+
+    The Freedman-Diaconis rule uses interquartile range (IQR) to
+    estimate binwidth. It is considered a variation of the Scott rule
+    with more robustness as the IQR is less affected by outliers than
+    the standard deviation. However, the IQR depends on fewer points
+    than the standard deviation, so it is less accurate, especially for
+    long tailed distributions.
+
+    If the IQR is 0, this function returns 0 for the bin width.
+    Binwidth is inversely proportional to the cube root of data size
+    (asymptotically optimal).
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+    """
+    del range  # unused
+    iqr = np.subtract(*np.percentile(x, [75, 25]))
+    return 2.0 * iqr * x.size ** (-1.0 / 3.0)
+
+
+def _hist_bin_auto(x, range):
+    """
+    Histogram bin estimator that uses the minimum width of the
+    Freedman-Diaconis and Sturges estimators if the FD bin width is non-zero.
+    If the bin width from the FD estimator is 0, the Sturges estimator is used.
+
+    The FD estimator is usually the most robust method, but its width
+    estimate tends to be too large for small `x` and bad for data with limited
+    variance. The Sturges estimator is quite good for small (<1000) datasets
+    and is the default in the R language. This method gives good off-the-shelf
+    behaviour.
+
+    If there is limited variance the IQR can be 0, which results in the
+    FD bin width being 0 too. This is not a valid bin width, so
+    ``np.histogram_bin_edges`` chooses 1 bin instead, which may not be optimal.
+    If the IQR is 0, it's unlikely any variance-based estimators will be of
+    use, so we revert to the Sturges estimator, which only uses the size of the
+    dataset in its calculation.
+
+    Parameters
+    ----------
+    x : array_like
+        Input data that is to be histogrammed, trimmed to range. May not
+        be empty.
+
+    Returns
+    -------
+    h : An estimate of the optimal bin width for the given data.
+
+    See Also
+    --------
+    _hist_bin_fd, _hist_bin_sturges
+    """
+    fd_bw = _hist_bin_fd(x, range)
+    sturges_bw = _hist_bin_sturges(x, range)
+    del range  # unused
+    if fd_bw:
+        return min(fd_bw, sturges_bw)
+    else:
+        # limited variance, so we return a len dependent bw estimator
+        return sturges_bw
+
+# Private dict initialized at module load time
+_hist_bin_selectors = {'stone': _hist_bin_stone,
+                       'auto': _hist_bin_auto,
+                       'doane': _hist_bin_doane,
+                       'fd': _hist_bin_fd,
+                       'rice': _hist_bin_rice,
+                       'scott': _hist_bin_scott,
+                       'sqrt': _hist_bin_sqrt,
+                       'sturges': _hist_bin_sturges}
+
+
+def _ravel_and_check_weights(a, weights):
+    """ Check a and weights have matching shapes, and ravel both """
+    a = np.asarray(a)
+
+    # Ensure that the array is a "subtractable" dtype
+    if a.dtype == np.bool:
+        warnings.warn("Converting input from {} to {} for compatibility."
+                      .format(a.dtype, np.uint8),
+                      RuntimeWarning, stacklevel=3)
+        a = a.astype(np.uint8)
+
+    if weights is not None:
+        weights = np.asarray(weights)
+        if weights.shape != a.shape:
+            raise ValueError(
+                'weights should have the same shape as a.')
+        weights = weights.ravel()
+    a = a.ravel()
+    return a, weights
+
+
+def _get_outer_edges(a, range):
+    """
+    Determine the outer bin edges to use, from either the data or the range
+    argument
+    """
+    if range is not None:
+        first_edge, last_edge = range
+        if first_edge > last_edge:
+            raise ValueError(
+                'max must be larger than min in range parameter.')
+        if not (np.isfinite(first_edge) and np.isfinite(last_edge)):
+            raise ValueError(
+                "supplied range of [{}, {}] is not finite".format(first_edge, last_edge))
+    elif a.size == 0:
+        # handle empty arrays. Can't determine range, so use 0-1.
+        first_edge, last_edge = 0, 1
+    else:
+        first_edge, last_edge = a.min(), a.max()
+        if not (np.isfinite(first_edge) and np.isfinite(last_edge)):
+            raise ValueError(
+                "autodetected range of [{}, {}] is not finite".format(first_edge, last_edge))
+
+    # expand empty range to avoid divide by zero
+    if first_edge == last_edge:
+        first_edge = first_edge - 0.5
+        last_edge = last_edge + 0.5
+
+    return first_edge, last_edge
+
+
+def _unsigned_subtract(a, b):
+    """
+    Subtract two values where a >= b, and produce an unsigned result
+
+    This is needed when finding the difference between the upper and lower
+    bound of an int16 histogram
+    """
+    # coerce to a single type
+    signed_to_unsigned = {
+        np.byte: np.ubyte,
+        np.short: np.ushort,
+        np.intc: np.uintc,
+        np.int_: np.uint,
+        np.longlong: np.ulonglong
+    }
+    dt = np.result_type(a, b)
+    try:
+        unsigned_dt = signed_to_unsigned[dt.type]
+    except KeyError:
+        return np.subtract(a, b, dtype=dt)
+    else:
+        # we know the inputs are integers, and we are deliberately casting
+        # signed to unsigned.  The input may be negative python integers so
+        # ensure we pass in arrays with the initial dtype (related to NEP 50).
+        return np.subtract(np.asarray(a, dtype=dt), np.asarray(b, dtype=dt),
+                           casting='unsafe', dtype=unsigned_dt)
+
+
+def _get_bin_edges(a, bins, range, weights):
+    """
+    Computes the bins used internally by `histogram`.
+
+    Parameters
+    ==========
+    a : ndarray
+        Ravelled data array
+    bins, range
+        Forwarded arguments from `histogram`.
+    weights : ndarray, optional
+        Ravelled weights array, or None
+
+    Returns
+    =======
+    bin_edges : ndarray
+        Array of bin edges
+    uniform_bins : (Number, Number, int):
+        The upper bound, lowerbound, and number of bins, used in the optimized
+        implementation of `histogram` that works on uniform bins.
+    """
+    # parse the overloaded bins argument
+    n_equal_bins = None
+    bin_edges = None
+
+    if isinstance(bins, str):
+        bin_name = bins
+        # if `bins` is a string for an automatic method,
+        # this will replace it with the number of bins calculated
+        if bin_name not in _hist_bin_selectors:
+            raise ValueError(
+                "{!r} is not a valid estimator for `bins`".format(bin_name))
+        if weights is not None:
+            raise TypeError("Automated estimation of the number of "
+                            "bins is not supported for weighted data")
+
+        first_edge, last_edge = _get_outer_edges(a, range)
+
+        # truncate the range if needed
+        if range is not None:
+            keep = (a >= first_edge)
+            keep &= (a <= last_edge)
+            if not np.logical_and.reduce(keep):
+                a = a[keep]
+
+        if a.size == 0:
+            n_equal_bins = 1
+        else:
+            # Do not call selectors on empty arrays
+            width = _hist_bin_selectors[bin_name](a, (first_edge, last_edge))
+            if width:
+                if np.issubdtype(a.dtype, np.integer) and width < 1:
+                    width = 1
+                n_equal_bins = int(np.ceil(_unsigned_subtract(last_edge, first_edge) / width))
+            else:
+                # Width can be zero for some estimators, e.g. FD when
+                # the IQR of the data is zero.
+                n_equal_bins = 1
+
+    elif np.ndim(bins) == 0:
+        try:
+            n_equal_bins = operator.index(bins)
+        except TypeError as e:
+            raise TypeError(
+                '`bins` must be an integer, a string, or an array') from e
+        if n_equal_bins < 1:
+            raise ValueError('`bins` must be positive, when an integer')
+
+        first_edge, last_edge = _get_outer_edges(a, range)
+
+    elif np.ndim(bins) == 1:
+        bin_edges = np.asarray(bins)
+        if np.any(bin_edges[:-1] > bin_edges[1:]):
+            raise ValueError(
+                '`bins` must increase monotonically, when an array')
+
+    else:
+        raise ValueError('`bins` must be 1d, when an array')
+
+    if n_equal_bins is not None:
+        # gh-10322 means that type resolution rules are dependent on array
+        # shapes. To avoid this causing problems, we pick a type now and stick
+        # with it throughout.
+        bin_type = np.result_type(first_edge, last_edge, a)
+        if np.issubdtype(bin_type, np.integer):
+            bin_type = np.result_type(bin_type, float)
+
+        # bin edges must be computed
+        bin_edges = np.linspace(
+            first_edge, last_edge, n_equal_bins + 1,
+            endpoint=True, dtype=bin_type)
+        if np.any(bin_edges[:-1] >= bin_edges[1:]):
+            raise ValueError(
+                f'Too many bins for data range. Cannot create {n_equal_bins} '
+                f'finite-sized bins.')
+        return bin_edges, (first_edge, last_edge, n_equal_bins)
+    else:
+        return bin_edges, None
+
+
+def _search_sorted_inclusive(a, v):
+    """
+    Like `searchsorted`, but where the last item in `v` is placed on the right.
+
+    In the context of a histogram, this makes the last bin edge inclusive
+    """
+    return np.concatenate((
+        a.searchsorted(v[:-1], 'left'),
+        a.searchsorted(v[-1:], 'right')
+    ))
+
+
+def _histogram_bin_edges_dispatcher(a, bins=None, range=None, weights=None):
+    return (a, bins, weights)
+
+
+@array_function_dispatch(_histogram_bin_edges_dispatcher)
+def histogram_bin_edges(a, bins=10, range=None, weights=None):
+    r"""
+    Function to calculate only the edges of the bins used by the `histogram`
+    function.
+
+    Parameters
+    ----------
+    a : array_like
+        Input data. The histogram is computed over the flattened array.
+    bins : int or sequence of scalars or str, optional
+        If `bins` is an int, it defines the number of equal-width
+        bins in the given range (10, by default). If `bins` is a
+        sequence, it defines the bin edges, including the rightmost
+        edge, allowing for non-uniform bin widths.
+
+        If `bins` is a string from the list below, `histogram_bin_edges` will
+        use the method chosen to calculate the optimal bin width and
+        consequently the number of bins (see the Notes section for more detail
+        on the estimators) from the data that falls within the requested range.
+        While the bin width will be optimal for the actual data
+        in the range, the number of bins will be computed to fill the
+        entire range, including the empty portions. For visualisation,
+        using the 'auto' option is suggested. Weighted data is not
+        supported for automated bin size selection.
+
+        'auto'
+            Minimum bin width between the 'sturges' and 'fd' estimators.
+            Provides good all-around performance.
+
+        'fd' (Freedman Diaconis Estimator)
+            Robust (resilient to outliers) estimator that takes into
+            account data variability and data size.
+
+        'doane'
+            An improved version of Sturges' estimator that works better
+            with non-normal datasets.
+
+        'scott'
+            Less robust estimator that takes into account data variability
+            and data size.
+
+        'stone'
+            Estimator based on leave-one-out cross-validation estimate of
+            the integrated squared error. Can be regarded as a generalization
+            of Scott's rule.
+
+        'rice'
+            Estimator does not take variability into account, only data
+            size. Commonly overestimates number of bins required.
+
+        'sturges'
+            R's default method, only accounts for data size. Only
+            optimal for gaussian data and underestimates number of bins
+            for large non-gaussian datasets.
+
+        'sqrt'
+            Square root (of data size) estimator, used by Excel and
+            other programs for its speed and simplicity.
+
+    range : (float, float), optional
+        The lower and upper range of the bins.  If not provided, range
+        is simply ``(a.min(), a.max())``.  Values outside the range are
+        ignored. The first element of the range must be less than or
+        equal to the second. `range` affects the automatic bin
+        computation as well. While bin width is computed to be optimal
+        based on the actual data within `range`, the bin count will fill
+        the entire range including portions containing no data.
+
+    weights : array_like, optional
+        An array of weights, of the same shape as `a`.  Each value in
+        `a` only contributes its associated weight towards the bin count
+        (instead of 1). This is currently not used by any of the bin estimators,
+        but may be in the future.
+
+    Returns
+    -------
+    bin_edges : array of dtype float
+        The edges to pass into `histogram`
+
+    See Also
+    --------
+    histogram
+
+    Notes
+    -----
+    The methods to estimate the optimal number of bins are well founded
+    in literature, and are inspired by the choices R provides for
+    histogram visualisation. Note that having the number of bins
+    proportional to :math:`n^{1/3}` is asymptotically optimal, which is
+    why it appears in most estimators. These are simply plug-in methods
+    that give good starting points for number of bins. In the equations
+    below, :math:`h` is the binwidth and :math:`n_h` is the number of
+    bins. All estimators that compute bin counts are recast to bin width
+    using the `ptp` of the data. The final bin count is obtained from
+    ``np.round(np.ceil(range / h))``. The final bin width is often less
+    than what is returned by the estimators below.
+
+    'auto' (minimum bin width of the 'sturges' and 'fd' estimators)
+        A compromise to get a good value. For small datasets the Sturges
+        value will usually be chosen, while larger datasets will usually
+        default to FD.  Avoids the overly conservative behaviour of FD
+        and Sturges for small and large datasets respectively.
+        Switchover point is usually :math:`a.size \approx 1000`.
+
+    'fd' (Freedman Diaconis Estimator)
+        .. math:: h = 2 \frac{IQR}{n^{1/3}}
+
+        The binwidth is proportional to the interquartile range (IQR)
+        and inversely proportional to cube root of a.size. Can be too
+        conservative for small datasets, but is quite good for large
+        datasets. The IQR is very robust to outliers.
+
+    'scott'
+        .. math:: h = \sigma \sqrt[3]{\frac{24 \sqrt{\pi}}{n}}
+
+        The binwidth is proportional to the standard deviation of the
+        data and inversely proportional to cube root of ``x.size``. Can
+        be too conservative for small datasets, but is quite good for
+        large datasets. The standard deviation is not very robust to
+        outliers. Values are very similar to the Freedman-Diaconis
+        estimator in the absence of outliers.
+
+    'rice'
+        .. math:: n_h = 2n^{1/3}
+
+        The number of bins is only proportional to cube root of
+        ``a.size``. It tends to overestimate the number of bins and it
+        does not take into account data variability.
+
+    'sturges'
+        .. math:: n_h = \log _{2}(n) + 1
+
+        The number of bins is the base 2 log of ``a.size``.  This
+        estimator assumes normality of data and is too conservative for
+        larger, non-normal datasets. This is the default method in R's
+        ``hist`` method.
+
+    'doane'
+        .. math:: n_h = 1 + \log_{2}(n) +
+                        \log_{2}\left(1 + \frac{|g_1|}{\sigma_{g_1}}\right)
+
+            g_1 = mean\left[\left(\frac{x - \mu}{\sigma}\right)^3\right]
+
+            \sigma_{g_1} = \sqrt{\frac{6(n - 2)}{(n + 1)(n + 3)}}
+
+        An improved version of Sturges' formula that produces better
+        estimates for non-normal datasets. This estimator attempts to
+        account for the skew of the data.
+
+    'sqrt'
+        .. math:: n_h = \sqrt n
+
+        The simplest and fastest estimator. Only takes into account the
+        data size.
+
+    Additionally, if the data is of integer dtype, then the binwidth will never
+    be less than 1.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = np.array([0, 0, 0, 1, 2, 3, 3, 4, 5])
+    >>> np.histogram_bin_edges(arr, bins='auto', range=(0, 1))
+    array([0.  , 0.25, 0.5 , 0.75, 1.  ])
+    >>> np.histogram_bin_edges(arr, bins=2)
+    array([0. , 2.5, 5. ])
+
+    For consistency with histogram, an array of pre-computed bins is
+    passed through unmodified:
+
+    >>> np.histogram_bin_edges(arr, [1, 2])
+    array([1, 2])
+
+    This function allows one set of bins to be computed, and reused across
+    multiple histograms:
+
+    >>> shared_bins = np.histogram_bin_edges(arr, bins='auto')
+    >>> shared_bins
+    array([0., 1., 2., 3., 4., 5.])
+
+    >>> group_id = np.array([0, 1, 1, 0, 1, 1, 0, 1, 1])
+    >>> hist_0, _ = np.histogram(arr[group_id == 0], bins=shared_bins)
+    >>> hist_1, _ = np.histogram(arr[group_id == 1], bins=shared_bins)
+
+    >>> hist_0; hist_1
+    array([1, 1, 0, 1, 0])
+    array([2, 0, 1, 1, 2])
+
+    Which gives more easily comparable results than using separate bins for
+    each histogram:
+
+    >>> hist_0, bins_0 = np.histogram(arr[group_id == 0], bins='auto')
+    >>> hist_1, bins_1 = np.histogram(arr[group_id == 1], bins='auto')
+    >>> hist_0; hist_1
+    array([1, 1, 1])
+    array([2, 1, 1, 2])
+    >>> bins_0; bins_1
+    array([0., 1., 2., 3.])
+    array([0.  , 1.25, 2.5 , 3.75, 5.  ])
+
+    """
+    a, weights = _ravel_and_check_weights(a, weights)
+    bin_edges, _ = _get_bin_edges(a, bins, range, weights)
+    return bin_edges
+
+
+def _histogram_dispatcher(
+        a, bins=None, range=None, density=None, weights=None):
+    return (a, bins, weights)
+
+
+@array_function_dispatch(_histogram_dispatcher)
+def histogram(a, bins=10, range=None, density=None, weights=None):
+    r"""
+    Compute the histogram of a dataset.
+
+    Parameters
+    ----------
+    a : array_like
+        Input data. The histogram is computed over the flattened array.
+    bins : int or sequence of scalars or str, optional
+        If `bins` is an int, it defines the number of equal-width
+        bins in the given range (10, by default). If `bins` is a
+        sequence, it defines a monotonically increasing array of bin edges,
+        including the rightmost edge, allowing for non-uniform bin widths.
+
+        If `bins` is a string, it defines the method used to calculate the
+        optimal bin width, as defined by `histogram_bin_edges`.
+
+    range : (float, float), optional
+        The lower and upper range of the bins.  If not provided, range
+        is simply ``(a.min(), a.max())``.  Values outside the range are
+        ignored. The first element of the range must be less than or
+        equal to the second. `range` affects the automatic bin
+        computation as well. While bin width is computed to be optimal
+        based on the actual data within `range`, the bin count will fill
+        the entire range including portions containing no data.
+    weights : array_like, optional
+        An array of weights, of the same shape as `a`.  Each value in
+        `a` only contributes its associated weight towards the bin count
+        (instead of 1). If `density` is True, the weights are
+        normalized, so that the integral of the density over the range
+        remains 1.
+        Please note that the ``dtype`` of `weights` will also become the
+        ``dtype`` of the returned accumulator (`hist`), so it must be
+        large enough to hold accumulated values as well.
+    density : bool, optional
+        If ``False``, the result will contain the number of samples in
+        each bin. If ``True``, the result is the value of the
+        probability *density* function at the bin, normalized such that
+        the *integral* over the range is 1. Note that the sum of the
+        histogram values will not be equal to 1 unless bins of unity
+        width are chosen; it is not a probability *mass* function.
+
+    Returns
+    -------
+    hist : array
+        The values of the histogram. See `density` and `weights` for a
+        description of the possible semantics.  If `weights` are given,
+        ``hist.dtype`` will be taken from `weights`.
+    bin_edges : array of dtype float
+        Return the bin edges ``(length(hist)+1)``.
+
+
+    See Also
+    --------
+    histogramdd, bincount, searchsorted, digitize, histogram_bin_edges
+
+    Notes
+    -----
+    All but the last (righthand-most) bin is half-open.  In other words,
+    if `bins` is::
+
+      [1, 2, 3, 4]
+
+    then the first bin is ``[1, 2)`` (including 1, but excluding 2) and
+    the second ``[2, 3)``.  The last bin, however, is ``[3, 4]``, which
+    *includes* 4.
+
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.histogram([1, 2, 1], bins=[0, 1, 2, 3])
+    (array([0, 2, 1]), array([0, 1, 2, 3]))
+    >>> np.histogram(np.arange(4), bins=np.arange(5), density=True)
+    (array([0.25, 0.25, 0.25, 0.25]), array([0, 1, 2, 3, 4]))
+    >>> np.histogram([[1, 2, 1], [1, 0, 1]], bins=[0,1,2,3])
+    (array([1, 4, 1]), array([0, 1, 2, 3]))
+
+    >>> a = np.arange(5)
+    >>> hist, bin_edges = np.histogram(a, density=True)
+    >>> hist
+    array([0.5, 0. , 0.5, 0. , 0. , 0.5, 0. , 0.5, 0. , 0.5])
+    >>> hist.sum()
+    2.4999999999999996
+    >>> np.sum(hist * np.diff(bin_edges))
+    1.0
+
+    Automated Bin Selection Methods example, using 2 peak random data
+    with 2000 points.
+
+    .. plot::
+        :include-source:
+
+        import matplotlib.pyplot as plt
+        import numpy as np
+
+        rng = np.random.RandomState(10)  # deterministic random data
+        a = np.hstack((rng.normal(size=1000),
+                       rng.normal(loc=5, scale=2, size=1000)))
+        plt.hist(a, bins='auto')  # arguments are passed to np.histogram
+        plt.title("Histogram with 'auto' bins")
+        plt.show()
+
+    """
+    a, weights = _ravel_and_check_weights(a, weights)
+
+    bin_edges, uniform_bins = _get_bin_edges(a, bins, range, weights)
+
+    # Histogram is an integer or a float array depending on the weights.
+    if weights is None:
+        ntype = np.dtype(np.intp)
+    else:
+        ntype = weights.dtype
+
+    # We set a block size, as this allows us to iterate over chunks when
+    # computing histograms, to minimize memory usage.
+    BLOCK = 65536
+
+    # The fast path uses bincount, but that only works for certain types
+    # of weight
+    simple_weights = (
+        weights is None or
+        np.can_cast(weights.dtype, np.double) or
+        np.can_cast(weights.dtype, complex)
+    )
+
+    if uniform_bins is not None and simple_weights:
+        # Fast algorithm for equal bins
+        # We now convert values of a to bin indices, under the assumption of
+        # equal bin widths (which is valid here).
+        first_edge, last_edge, n_equal_bins = uniform_bins
+
+        # Initialize empty histogram
+        n = np.zeros(n_equal_bins, ntype)
+
+        # Pre-compute histogram scaling factor
+        norm_numerator = n_equal_bins
+        norm_denom = _unsigned_subtract(last_edge, first_edge)
+
+        # We iterate over blocks here for two reasons: the first is that for
+        # large arrays, it is actually faster (for example for a 10^8 array it
+        # is 2x as fast) and it results in a memory footprint 3x lower in the
+        # limit of large arrays.
+        for i in _range(0, len(a), BLOCK):
+            tmp_a = a[i:i+BLOCK]
+            if weights is None:
+                tmp_w = None
+            else:
+                tmp_w = weights[i:i + BLOCK]
+
+            # Only include values in the right range
+            keep = (tmp_a >= first_edge)
+            keep &= (tmp_a <= last_edge)
+            if not np.logical_and.reduce(keep):
+                tmp_a = tmp_a[keep]
+                if tmp_w is not None:
+                    tmp_w = tmp_w[keep]
+
+            # This cast ensures no type promotions occur below, which gh-10322
+            # make unpredictable. Getting it wrong leads to precision errors
+            # like gh-8123.
+            tmp_a = tmp_a.astype(bin_edges.dtype, copy=False)
+
+            # Compute the bin indices, and for values that lie exactly on
+            # last_edge we need to subtract one
+            f_indices = ((_unsigned_subtract(tmp_a, first_edge) / norm_denom)
+                         * norm_numerator)
+            indices = f_indices.astype(np.intp)
+            indices[indices == n_equal_bins] -= 1
+
+            # The index computation is not guaranteed to give exactly
+            # consistent results within ~1 ULP of the bin edges.
+            decrement = tmp_a < bin_edges[indices]
+            indices[decrement] -= 1
+            # The last bin includes the right edge. The other bins do not.
+            increment = ((tmp_a >= bin_edges[indices + 1])
+                         & (indices != n_equal_bins - 1))
+            indices[increment] += 1
+
+            # We now compute the histogram using bincount
+            if ntype.kind == 'c':
+                n.real += np.bincount(indices, weights=tmp_w.real,
+                                      minlength=n_equal_bins)
+                n.imag += np.bincount(indices, weights=tmp_w.imag,
+                                      minlength=n_equal_bins)
+            else:
+                n += np.bincount(indices, weights=tmp_w,
+                                 minlength=n_equal_bins).astype(ntype)
+    else:
+        # Compute via cumulative histogram
+        cum_n = np.zeros(bin_edges.shape, ntype)
+        if weights is None:
+            for i in _range(0, len(a), BLOCK):
+                sa = np.sort(a[i:i+BLOCK])
+                cum_n += _search_sorted_inclusive(sa, bin_edges)
+        else:
+            zero = np.zeros(1, dtype=ntype)
+            for i in _range(0, len(a), BLOCK):
+                tmp_a = a[i:i+BLOCK]
+                tmp_w = weights[i:i+BLOCK]
+                sorting_index = np.argsort(tmp_a)
+                sa = tmp_a[sorting_index]
+                sw = tmp_w[sorting_index]
+                cw = np.concatenate((zero, sw.cumsum()))
+                bin_index = _search_sorted_inclusive(sa, bin_edges)
+                cum_n += cw[bin_index]
+
+        n = np.diff(cum_n)
+
+    if density:
+        db = np.array(np.diff(bin_edges), float)
+        return n/db/n.sum(), bin_edges
+
+    return n, bin_edges
+
+
+def _histogramdd_dispatcher(sample, bins=None, range=None, density=None,
+                            weights=None):
+    if hasattr(sample, 'shape'):  # same condition as used in histogramdd
+        yield sample
+    else:
+        yield from sample
+    with contextlib.suppress(TypeError):
+        yield from bins
+    yield weights
+
+
+@array_function_dispatch(_histogramdd_dispatcher)
+def histogramdd(sample, bins=10, range=None, density=None, weights=None):
+    """
+    Compute the multidimensional histogram of some data.
+
+    Parameters
+    ----------
+    sample : (N, D) array, or (N, D) array_like
+        The data to be histogrammed.
+
+        Note the unusual interpretation of sample when an array_like:
+
+        * When an array, each row is a coordinate in a D-dimensional space -
+          such as ``histogramdd(np.array([p1, p2, p3]))``.
+        * When an array_like, each element is the list of values for single
+          coordinate - such as ``histogramdd((X, Y, Z))``.
+
+        The first form should be preferred.
+
+    bins : sequence or int, optional
+        The bin specification:
+
+        * A sequence of arrays describing the monotonically increasing bin
+          edges along each dimension.
+        * The number of bins for each dimension (nx, ny, ... =bins)
+        * The number of bins for all dimensions (nx=ny=...=bins).
+
+    range : sequence, optional
+        A sequence of length D, each an optional (lower, upper) tuple giving
+        the outer bin edges to be used if the edges are not given explicitly in
+        `bins`.
+        An entry of None in the sequence results in the minimum and maximum
+        values being used for the corresponding dimension.
+        The default, None, is equivalent to passing a tuple of D None values.
+    density : bool, optional
+        If False, the default, returns the number of samples in each bin.
+        If True, returns the probability *density* function at the bin,
+        ``bin_count / sample_count / bin_volume``.
+    weights : (N,) array_like, optional
+        An array of values `w_i` weighing each sample `(x_i, y_i, z_i, ...)`.
+        Weights are normalized to 1 if density is True. If density is False,
+        the values of the returned histogram are equal to the sum of the
+        weights belonging to the samples falling into each bin.
+
+    Returns
+    -------
+    H : ndarray
+        The multidimensional histogram of sample x. See density and weights
+        for the different possible semantics.
+    edges : tuple of ndarrays
+        A tuple of D arrays describing the bin edges for each dimension.
+
+    See Also
+    --------
+    histogram: 1-D histogram
+    histogram2d: 2-D histogram
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> rng = np.random.default_rng()
+    >>> r = rng.normal(size=(100,3))
+    >>> H, edges = np.histogramdd(r, bins = (5, 8, 4))
+    >>> H.shape, edges[0].size, edges[1].size, edges[2].size
+    ((5, 8, 4), 6, 9, 5)
+
+    """
+
+    try:
+        # Sample is an ND-array.
+        N, D = sample.shape
+    except (AttributeError, ValueError):
+        # Sample is a sequence of 1D arrays.
+        sample = np.atleast_2d(sample).T
+        N, D = sample.shape
+
+    nbin = np.empty(D, np.intp)
+    edges = D*[None]
+    dedges = D*[None]
+    if weights is not None:
+        weights = np.asarray(weights)
+
+    try:
+        M = len(bins)
+        if M != D:
+            raise ValueError(
+                'The dimension of bins must be equal to the dimension of the '
+                'sample x.')
+    except TypeError:
+        # bins is an integer
+        bins = D*[bins]
+
+    # normalize the range argument
+    if range is None:
+        range = (None,) * D
+    elif len(range) != D:
+        raise ValueError('range argument must have one entry per dimension')
+
+    # Create edge arrays
+    for i in _range(D):
+        if np.ndim(bins[i]) == 0:
+            if bins[i] < 1:
+                raise ValueError(
+                    '`bins[{}]` must be positive, when an integer'.format(i))
+            smin, smax = _get_outer_edges(sample[:,i], range[i])
+            try:
+                n = operator.index(bins[i])
+
+            except TypeError as e:
+                raise TypeError(
+                	"`bins[{}]` must be an integer, when a scalar".format(i)
+                ) from e
+
+            edges[i] = np.linspace(smin, smax, n + 1)
+        elif np.ndim(bins[i]) == 1:
+            edges[i] = np.asarray(bins[i])
+            if np.any(edges[i][:-1] > edges[i][1:]):
+                raise ValueError(
+                    '`bins[{}]` must be monotonically increasing, when an array'
+                    .format(i))
+        else:
+            raise ValueError(
+                '`bins[{}]` must be a scalar or 1d array'.format(i))
+
+        nbin[i] = len(edges[i]) + 1  # includes an outlier on each end
+        dedges[i] = np.diff(edges[i])
+
+    # Compute the bin number each sample falls into.
+    Ncount = tuple(
+        # avoid np.digitize to work around gh-11022
+        np.searchsorted(edges[i], sample[:, i], side='right')
+        for i in _range(D)
+    )
+
+    # Using digitize, values that fall on an edge are put in the right bin.
+    # For the rightmost bin, we want values equal to the right edge to be
+    # counted in the last bin, and not as an outlier.
+    for i in _range(D):
+        # Find which points are on the rightmost edge.
+        on_edge = (sample[:, i] == edges[i][-1])
+        # Shift these points one bin to the left.
+        Ncount[i][on_edge] -= 1
+
+    # Compute the sample indices in the flattened histogram matrix.
+    # This raises an error if the array is too large.
+    xy = np.ravel_multi_index(Ncount, nbin)
+
+    # Compute the number of repetitions in xy and assign it to the
+    # flattened histmat.
+    hist = np.bincount(xy, weights, minlength=nbin.prod())
+
+    # Shape into a proper matrix
+    hist = hist.reshape(nbin)
+
+    # This preserves the (bad) behavior observed in gh-7845, for now.
+    hist = hist.astype(float, casting='safe')
+
+    # Remove outliers (indices 0 and -1 for each dimension).
+    core = D*(slice(1, -1),)
+    hist = hist[core]
+
+    if density:
+        # calculate the probability density function
+        s = hist.sum()
+        for i in _range(D):
+            shape = np.ones(D, int)
+            shape[i] = nbin[i] - 2
+            hist = hist / dedges[i].reshape(shape)
+        hist /= s
+
+    if (hist.shape != nbin - 2).any():
+        raise RuntimeError(
+            "Internal Shape Error")
+    return hist, edges
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_histograms_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_histograms_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..e18ab99035b48f9b5d8d85ffe6bb226b5c284ae9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_histograms_impl.pyi
@@ -0,0 +1,48 @@
+from collections.abc import Sequence
+from typing import (
+    Literal as L,
+    Any,
+    SupportsIndex,
+    TypeAlias,
+)
+
+from numpy._typing import (
+    NDArray,
+    ArrayLike,
+)
+
+__all__ = ["histogram", "histogramdd", "histogram_bin_edges"]
+
+_BinKind: TypeAlias = L[
+    "stone",
+    "auto",
+    "doane",
+    "fd",
+    "rice",
+    "scott",
+    "sqrt",
+    "sturges",
+]
+
+def histogram_bin_edges(
+    a: ArrayLike,
+    bins: _BinKind | SupportsIndex | ArrayLike = ...,
+    range: None | tuple[float, float] = ...,
+    weights: None | ArrayLike = ...,
+) -> NDArray[Any]: ...
+
+def histogram(
+    a: ArrayLike,
+    bins: _BinKind | SupportsIndex | ArrayLike = ...,
+    range: None | tuple[float, float] = ...,
+    density: bool = ...,
+    weights: None | ArrayLike = ...,
+) -> tuple[NDArray[Any], NDArray[Any]]: ...
+
+def histogramdd(
+    sample: ArrayLike,
+    bins: SupportsIndex | ArrayLike = ...,
+    range: Sequence[tuple[float, float]] = ...,
+    density: None | bool = ...,
+    weights: None | ArrayLike = ...,
+) -> tuple[NDArray[Any], tuple[NDArray[Any], ...]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_index_tricks_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_index_tricks_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..da8fbedc8072b4d73ebc9b2e25229fff761ff073
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_index_tricks_impl.py
@@ -0,0 +1,1069 @@
+import functools
+import sys
+import math
+import warnings
+
+import numpy as np
+from .._utils import set_module
+import numpy._core.numeric as _nx
+from numpy._core.numeric import ScalarType, array
+from numpy._core.numerictypes import issubdtype
+
+import numpy.matrixlib as matrixlib
+from numpy._core.multiarray import ravel_multi_index, unravel_index
+from numpy._core import overrides, linspace
+from numpy.lib.stride_tricks import as_strided
+from numpy.lib._function_base_impl import diff
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+__all__ = [
+    'ravel_multi_index', 'unravel_index', 'mgrid', 'ogrid', 'r_', 'c_',
+    's_', 'index_exp', 'ix_', 'ndenumerate', 'ndindex', 'fill_diagonal',
+    'diag_indices', 'diag_indices_from'
+]
+
+
+def _ix__dispatcher(*args):
+    return args
+
+
+@array_function_dispatch(_ix__dispatcher)
+def ix_(*args):
+    """
+    Construct an open mesh from multiple sequences.
+
+    This function takes N 1-D sequences and returns N outputs with N
+    dimensions each, such that the shape is 1 in all but one dimension
+    and the dimension with the non-unit shape value cycles through all
+    N dimensions.
+
+    Using `ix_` one can quickly construct index arrays that will index
+    the cross product. ``a[np.ix_([1,3],[2,5])]`` returns the array
+    ``[[a[1,2] a[1,5]], [a[3,2] a[3,5]]]``.
+
+    Parameters
+    ----------
+    args : 1-D sequences
+        Each sequence should be of integer or boolean type.
+        Boolean sequences will be interpreted as boolean masks for the
+        corresponding dimension (equivalent to passing in
+        ``np.nonzero(boolean_sequence)``).
+
+    Returns
+    -------
+    out : tuple of ndarrays
+        N arrays with N dimensions each, with N the number of input
+        sequences. Together these arrays form an open mesh.
+
+    See Also
+    --------
+    ogrid, mgrid, meshgrid
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.arange(10).reshape(2, 5)
+    >>> a
+    array([[0, 1, 2, 3, 4],
+           [5, 6, 7, 8, 9]])
+    >>> ixgrid = np.ix_([0, 1], [2, 4])
+    >>> ixgrid
+    (array([[0],
+           [1]]), array([[2, 4]]))
+    >>> ixgrid[0].shape, ixgrid[1].shape
+    ((2, 1), (1, 2))
+    >>> a[ixgrid]
+    array([[2, 4],
+           [7, 9]])
+
+    >>> ixgrid = np.ix_([True, True], [2, 4])
+    >>> a[ixgrid]
+    array([[2, 4],
+           [7, 9]])
+    >>> ixgrid = np.ix_([True, True], [False, False, True, False, True])
+    >>> a[ixgrid]
+    array([[2, 4],
+           [7, 9]])
+
+    """
+    out = []
+    nd = len(args)
+    for k, new in enumerate(args):
+        if not isinstance(new, _nx.ndarray):
+            new = np.asarray(new)
+            if new.size == 0:
+                # Explicitly type empty arrays to avoid float default
+                new = new.astype(_nx.intp)
+        if new.ndim != 1:
+            raise ValueError("Cross index must be 1 dimensional")
+        if issubdtype(new.dtype, _nx.bool):
+            new, = new.nonzero()
+        new = new.reshape((1,)*k + (new.size,) + (1,)*(nd-k-1))
+        out.append(new)
+    return tuple(out)
+
+
+class nd_grid:
+    """
+    Construct a multi-dimensional "meshgrid".
+
+    ``grid = nd_grid()`` creates an instance which will return a mesh-grid
+    when indexed.  The dimension and number of the output arrays are equal
+    to the number of indexing dimensions.  If the step length is not a
+    complex number, then the stop is not inclusive.
+
+    However, if the step length is a **complex number** (e.g. 5j), then the
+    integer part of its magnitude is interpreted as specifying the
+    number of points to create between the start and stop values, where
+    the stop value **is inclusive**.
+
+    If instantiated with an argument of ``sparse=True``, the mesh-grid is
+    open (or not fleshed out) so that only one-dimension of each returned
+    argument is greater than 1.
+
+    Parameters
+    ----------
+    sparse : bool, optional
+        Whether the grid is sparse or not. Default is False.
+
+    Notes
+    -----
+    Two instances of `nd_grid` are made available in the NumPy namespace,
+    `mgrid` and `ogrid`, approximately defined as::
+
+        mgrid = nd_grid(sparse=False)
+        ogrid = nd_grid(sparse=True)
+
+    Users should use these pre-defined instances instead of using `nd_grid`
+    directly.
+    """
+    __slots__ = ('sparse',)
+
+    def __init__(self, sparse=False):
+        self.sparse = sparse
+
+    def __getitem__(self, key):
+        try:
+            size = []
+            # Mimic the behavior of `np.arange` and use a data type
+            # which is at least as large as `np.int_`
+            num_list = [0]
+            for k in range(len(key)):
+                step = key[k].step
+                start = key[k].start
+                stop = key[k].stop
+                if start is None:
+                    start = 0
+                if step is None:
+                    step = 1
+                if isinstance(step, (_nx.complexfloating, complex)):
+                    step = abs(step)
+                    size.append(int(step))
+                else:
+                    size.append(
+                        int(math.ceil((stop - start) / (step*1.0))))
+                num_list += [start, stop, step]
+            typ = _nx.result_type(*num_list)
+            if self.sparse:
+                nn = [_nx.arange(_x, dtype=_t)
+                      for _x, _t in zip(size, (typ,)*len(size))]
+            else:
+                nn = _nx.indices(size, typ)
+            for k, kk in enumerate(key):
+                step = kk.step
+                start = kk.start
+                if start is None:
+                    start = 0
+                if step is None:
+                    step = 1
+                if isinstance(step, (_nx.complexfloating, complex)):
+                    step = int(abs(step))
+                    if step != 1:
+                        step = (kk.stop - start) / float(step - 1)
+                nn[k] = (nn[k]*step+start)
+            if self.sparse:
+                slobj = [_nx.newaxis]*len(size)
+                for k in range(len(size)):
+                    slobj[k] = slice(None, None)
+                    nn[k] = nn[k][tuple(slobj)]
+                    slobj[k] = _nx.newaxis
+                return tuple(nn)  # ogrid -> tuple of arrays
+            return nn  # mgrid -> ndarray
+        except (IndexError, TypeError):
+            step = key.step
+            stop = key.stop
+            start = key.start
+            if start is None:
+                start = 0
+            if isinstance(step, (_nx.complexfloating, complex)):
+                # Prevent the (potential) creation of integer arrays
+                step_float = abs(step)
+                step = length = int(step_float)
+                if step != 1:
+                    step = (key.stop-start)/float(step-1)
+                typ = _nx.result_type(start, stop, step_float)
+                return _nx.arange(0, length, 1, dtype=typ)*step + start
+            else:
+                return _nx.arange(start, stop, step)
+
+
+class MGridClass(nd_grid):
+    """
+    An instance which returns a dense multi-dimensional "meshgrid".
+
+    An instance which returns a dense (or fleshed out) mesh-grid
+    when indexed, so that each returned argument has the same shape.
+    The dimensions and number of the output arrays are equal to the
+    number of indexing dimensions.  If the step length is not a complex
+    number, then the stop is not inclusive.
+
+    However, if the step length is a **complex number** (e.g. 5j), then
+    the integer part of its magnitude is interpreted as specifying the
+    number of points to create between the start and stop values, where
+    the stop value **is inclusive**.
+
+    Returns
+    -------
+    mesh-grid : ndarray
+        A single array, containing a set of `ndarray`\\ s all of the same
+        dimensions. stacked along the first axis.
+
+    See Also
+    --------
+    ogrid : like `mgrid` but returns open (not fleshed out) mesh grids
+    meshgrid: return coordinate matrices from coordinate vectors
+    r_ : array concatenator
+    :ref:`how-to-partition`
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.mgrid[0:5, 0:5]
+    array([[[0, 0, 0, 0, 0],
+            [1, 1, 1, 1, 1],
+            [2, 2, 2, 2, 2],
+            [3, 3, 3, 3, 3],
+            [4, 4, 4, 4, 4]],
+           [[0, 1, 2, 3, 4],
+            [0, 1, 2, 3, 4],
+            [0, 1, 2, 3, 4],
+            [0, 1, 2, 3, 4],
+            [0, 1, 2, 3, 4]]])
+    >>> np.mgrid[-1:1:5j]
+    array([-1. , -0.5,  0. ,  0.5,  1. ])
+
+    >>> np.mgrid[0:4].shape
+    (4,)
+    >>> np.mgrid[0:4, 0:5].shape
+    (2, 4, 5)
+    >>> np.mgrid[0:4, 0:5, 0:6].shape
+    (3, 4, 5, 6)
+
+    """
+    __slots__ = ()
+
+    def __init__(self):
+        super().__init__(sparse=False)
+
+
+mgrid = MGridClass()
+
+
+class OGridClass(nd_grid):
+    """
+    An instance which returns an open multi-dimensional "meshgrid".
+
+    An instance which returns an open (i.e. not fleshed out) mesh-grid
+    when indexed, so that only one dimension of each returned array is
+    greater than 1.  The dimension and number of the output arrays are
+    equal to the number of indexing dimensions.  If the step length is
+    not a complex number, then the stop is not inclusive.
+
+    However, if the step length is a **complex number** (e.g. 5j), then
+    the integer part of its magnitude is interpreted as specifying the
+    number of points to create between the start and stop values, where
+    the stop value **is inclusive**.
+
+    Returns
+    -------
+    mesh-grid : ndarray or tuple of ndarrays
+        If the input is a single slice, returns an array.
+        If the input is multiple slices, returns a tuple of arrays, with
+        only one dimension not equal to 1.
+
+    See Also
+    --------
+    mgrid : like `ogrid` but returns dense (or fleshed out) mesh grids
+    meshgrid: return coordinate matrices from coordinate vectors
+    r_ : array concatenator
+    :ref:`how-to-partition`
+
+    Examples
+    --------
+    >>> from numpy import ogrid
+    >>> ogrid[-1:1:5j]
+    array([-1. , -0.5,  0. ,  0.5,  1. ])
+    >>> ogrid[0:5, 0:5]
+    (array([[0],
+            [1],
+            [2],
+            [3],
+            [4]]),
+     array([[0, 1, 2, 3, 4]]))
+
+    """
+    __slots__ = ()
+
+    def __init__(self):
+        super().__init__(sparse=True)
+
+
+ogrid = OGridClass()
+
+
+class AxisConcatenator:
+    """
+    Translates slice objects to concatenation along an axis.
+
+    For detailed documentation on usage, see `r_`.
+    """
+    __slots__ = ('axis', 'matrix', 'trans1d', 'ndmin')
+
+    # allow ma.mr_ to override this
+    concatenate = staticmethod(_nx.concatenate)
+    makemat = staticmethod(matrixlib.matrix)
+
+    def __init__(self, axis=0, matrix=False, ndmin=1, trans1d=-1):
+        self.axis = axis
+        self.matrix = matrix
+        self.trans1d = trans1d
+        self.ndmin = ndmin
+
+    def __getitem__(self, key):
+        # handle matrix builder syntax
+        if isinstance(key, str):
+            frame = sys._getframe().f_back
+            mymat = matrixlib.bmat(key, frame.f_globals, frame.f_locals)
+            return mymat
+
+        if not isinstance(key, tuple):
+            key = (key,)
+
+        # copy attributes, since they can be overridden in the first argument
+        trans1d = self.trans1d
+        ndmin = self.ndmin
+        matrix = self.matrix
+        axis = self.axis
+
+        objs = []
+        # dtypes or scalars for weak scalar handling in result_type
+        result_type_objs = []
+
+        for k, item in enumerate(key):
+            scalar = False
+            if isinstance(item, slice):
+                step = item.step
+                start = item.start
+                stop = item.stop
+                if start is None:
+                    start = 0
+                if step is None:
+                    step = 1
+                if isinstance(step, (_nx.complexfloating, complex)):
+                    size = int(abs(step))
+                    newobj = linspace(start, stop, num=size)
+                else:
+                    newobj = _nx.arange(start, stop, step)
+                if ndmin > 1:
+                    newobj = array(newobj, copy=None, ndmin=ndmin)
+                    if trans1d != -1:
+                        newobj = newobj.swapaxes(-1, trans1d)
+            elif isinstance(item, str):
+                if k != 0:
+                    raise ValueError("special directives must be the "
+                                     "first entry.")
+                if item in ('r', 'c'):
+                    matrix = True
+                    col = (item == 'c')
+                    continue
+                if ',' in item:
+                    vec = item.split(',')
+                    try:
+                        axis, ndmin = [int(x) for x in vec[:2]]
+                        if len(vec) == 3:
+                            trans1d = int(vec[2])
+                        continue
+                    except Exception as e:
+                        raise ValueError(
+                            "unknown special directive {!r}".format(item)
+                        ) from e
+                try:
+                    axis = int(item)
+                    continue
+                except (ValueError, TypeError) as e:
+                    raise ValueError("unknown special directive") from e
+            elif type(item) in ScalarType:
+                scalar = True
+                newobj = item
+            else:
+                item_ndim = np.ndim(item)
+                newobj = array(item, copy=None, subok=True, ndmin=ndmin)
+                if trans1d != -1 and item_ndim < ndmin:
+                    k2 = ndmin - item_ndim
+                    k1 = trans1d
+                    if k1 < 0:
+                        k1 += k2 + 1
+                    defaxes = list(range(ndmin))
+                    axes = defaxes[:k1] + defaxes[k2:] + defaxes[k1:k2]
+                    newobj = newobj.transpose(axes)
+
+            objs.append(newobj)
+            if scalar:
+                result_type_objs.append(item)
+            else:
+                result_type_objs.append(newobj.dtype)
+
+        # Ensure that scalars won't up-cast unless warranted, for 0, drops
+        # through to error in concatenate.
+        if len(result_type_objs) != 0:
+            final_dtype = _nx.result_type(*result_type_objs)
+            # concatenate could do cast, but that can be overridden:
+            objs = [array(obj, copy=None, subok=True,
+                          ndmin=ndmin, dtype=final_dtype) for obj in objs]
+
+        res = self.concatenate(tuple(objs), axis=axis)
+
+        if matrix:
+            oldndim = res.ndim
+            res = self.makemat(res)
+            if oldndim == 1 and col:
+                res = res.T
+        return res
+
+    def __len__(self):
+        return 0
+
+# separate classes are used here instead of just making r_ = concatenator(0),
+# etc. because otherwise we couldn't get the doc string to come out right
+# in help(r_)
+
+
+class RClass(AxisConcatenator):
+    """
+    Translates slice objects to concatenation along the first axis.
+
+    This is a simple way to build up arrays quickly. There are two use cases.
+
+    1. If the index expression contains comma separated arrays, then stack
+       them along their first axis.
+    2. If the index expression contains slice notation or scalars then create
+       a 1-D array with a range indicated by the slice notation.
+
+    If slice notation is used, the syntax ``start:stop:step`` is equivalent
+    to ``np.arange(start, stop, step)`` inside of the brackets. However, if
+    ``step`` is an imaginary number (i.e. 100j) then its integer portion is
+    interpreted as a number-of-points desired and the start and stop are
+    inclusive. In other words ``start:stop:stepj`` is interpreted as
+    ``np.linspace(start, stop, step, endpoint=1)`` inside of the brackets.
+    After expansion of slice notation, all comma separated sequences are
+    concatenated together.
+
+    Optional character strings placed as the first element of the index
+    expression can be used to change the output. The strings 'r' or 'c' result
+    in matrix output. If the result is 1-D and 'r' is specified a 1 x N (row)
+    matrix is produced. If the result is 1-D and 'c' is specified, then a N x 1
+    (column) matrix is produced. If the result is 2-D then both provide the
+    same matrix result.
+
+    A string integer specifies which axis to stack multiple comma separated
+    arrays along. A string of two comma-separated integers allows indication
+    of the minimum number of dimensions to force each entry into as the
+    second integer (the axis to concatenate along is still the first integer).
+
+    A string with three comma-separated integers allows specification of the
+    axis to concatenate along, the minimum number of dimensions to force the
+    entries to, and which axis should contain the start of the arrays which
+    are less than the specified number of dimensions. In other words the third
+    integer allows you to specify where the 1's should be placed in the shape
+    of the arrays that have their shapes upgraded. By default, they are placed
+    in the front of the shape tuple. The third argument allows you to specify
+    where the start of the array should be instead. Thus, a third argument of
+    '0' would place the 1's at the end of the array shape. Negative integers
+    specify where in the new shape tuple the last dimension of upgraded arrays
+    should be placed, so the default is '-1'.
+
+    Parameters
+    ----------
+    Not a function, so takes no parameters
+
+
+    Returns
+    -------
+    A concatenated ndarray or matrix.
+
+    See Also
+    --------
+    concatenate : Join a sequence of arrays along an existing axis.
+    c_ : Translates slice objects to concatenation along the second axis.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.r_[np.array([1,2,3]), 0, 0, np.array([4,5,6])]
+    array([1, 2, 3, ..., 4, 5, 6])
+    >>> np.r_[-1:1:6j, [0]*3, 5, 6]
+    array([-1. , -0.6, -0.2,  0.2,  0.6,  1. ,  0. ,  0. ,  0. ,  5. ,  6. ])
+
+    String integers specify the axis to concatenate along or the minimum
+    number of dimensions to force entries into.
+
+    >>> a = np.array([[0, 1, 2], [3, 4, 5]])
+    >>> np.r_['-1', a, a] # concatenate along last axis
+    array([[0, 1, 2, 0, 1, 2],
+           [3, 4, 5, 3, 4, 5]])
+    >>> np.r_['0,2', [1,2,3], [4,5,6]] # concatenate along first axis, dim>=2
+    array([[1, 2, 3],
+           [4, 5, 6]])
+
+    >>> np.r_['0,2,0', [1,2,3], [4,5,6]]
+    array([[1],
+           [2],
+           [3],
+           [4],
+           [5],
+           [6]])
+    >>> np.r_['1,2,0', [1,2,3], [4,5,6]]
+    array([[1, 4],
+           [2, 5],
+           [3, 6]])
+
+    Using 'r' or 'c' as a first string argument creates a matrix.
+
+    >>> np.r_['r',[1,2,3], [4,5,6]]
+    matrix([[1, 2, 3, 4, 5, 6]])
+
+    """
+    __slots__ = ()
+
+    def __init__(self):
+        AxisConcatenator.__init__(self, 0)
+
+
+r_ = RClass()
+
+
+class CClass(AxisConcatenator):
+    """
+    Translates slice objects to concatenation along the second axis.
+
+    This is short-hand for ``np.r_['-1,2,0', index expression]``, which is
+    useful because of its common occurrence. In particular, arrays will be
+    stacked along their last axis after being upgraded to at least 2-D with
+    1's post-pended to the shape (column vectors made out of 1-D arrays).
+
+    See Also
+    --------
+    column_stack : Stack 1-D arrays as columns into a 2-D array.
+    r_ : For more detailed documentation.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.c_[np.array([1,2,3]), np.array([4,5,6])]
+    array([[1, 4],
+           [2, 5],
+           [3, 6]])
+    >>> np.c_[np.array([[1,2,3]]), 0, 0, np.array([[4,5,6]])]
+    array([[1, 2, 3, ..., 4, 5, 6]])
+
+    """
+    __slots__ = ()
+
+    def __init__(self):
+        AxisConcatenator.__init__(self, -1, ndmin=2, trans1d=0)
+
+
+c_ = CClass()
+
+
+@set_module('numpy')
+class ndenumerate:
+    """
+    Multidimensional index iterator.
+
+    Return an iterator yielding pairs of array coordinates and values.
+
+    Parameters
+    ----------
+    arr : ndarray
+      Input array.
+
+    See Also
+    --------
+    ndindex, flatiter
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[1, 2], [3, 4]])
+    >>> for index, x in np.ndenumerate(a):
+    ...     print(index, x)
+    (0, 0) 1
+    (0, 1) 2
+    (1, 0) 3
+    (1, 1) 4
+
+    """
+
+    def __init__(self, arr):
+        self.iter = np.asarray(arr).flat
+
+    def __next__(self):
+        """
+        Standard iterator method, returns the index tuple and array value.
+
+        Returns
+        -------
+        coords : tuple of ints
+            The indices of the current iteration.
+        val : scalar
+            The array element of the current iteration.
+
+        """
+        return self.iter.coords, next(self.iter)
+
+    def __iter__(self):
+        return self
+
+
+@set_module('numpy')
+class ndindex:
+    """
+    An N-dimensional iterator object to index arrays.
+
+    Given the shape of an array, an `ndindex` instance iterates over
+    the N-dimensional index of the array. At each iteration a tuple
+    of indices is returned, the last dimension is iterated over first.
+
+    Parameters
+    ----------
+    shape : ints, or a single tuple of ints
+        The size of each dimension of the array can be passed as
+        individual parameters or as the elements of a tuple.
+
+    See Also
+    --------
+    ndenumerate, flatiter
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Dimensions as individual arguments
+
+    >>> for index in np.ndindex(3, 2, 1):
+    ...     print(index)
+    (0, 0, 0)
+    (0, 1, 0)
+    (1, 0, 0)
+    (1, 1, 0)
+    (2, 0, 0)
+    (2, 1, 0)
+
+    Same dimensions - but in a tuple ``(3, 2, 1)``
+
+    >>> for index in np.ndindex((3, 2, 1)):
+    ...     print(index)
+    (0, 0, 0)
+    (0, 1, 0)
+    (1, 0, 0)
+    (1, 1, 0)
+    (2, 0, 0)
+    (2, 1, 0)
+
+    """
+
+    def __init__(self, *shape):
+        if len(shape) == 1 and isinstance(shape[0], tuple):
+            shape = shape[0]
+        x = as_strided(_nx.zeros(1), shape=shape,
+                       strides=_nx.zeros_like(shape))
+        self._it = _nx.nditer(x, flags=['multi_index', 'zerosize_ok'],
+                              order='C')
+
+    def __iter__(self):
+        return self
+
+    def ndincr(self):
+        """
+        Increment the multi-dimensional index by one.
+
+        This method is for backward compatibility only: do not use.
+
+        .. deprecated:: 1.20.0
+            This method has been advised against since numpy 1.8.0, but only
+            started emitting DeprecationWarning as of this version.
+        """
+        # NumPy 1.20.0, 2020-09-08
+        warnings.warn(
+            "`ndindex.ndincr()` is deprecated, use `next(ndindex)` instead",
+            DeprecationWarning, stacklevel=2)
+        next(self)
+
+    def __next__(self):
+        """
+        Standard iterator method, updates the index and returns the index
+        tuple.
+
+        Returns
+        -------
+        val : tuple of ints
+            Returns a tuple containing the indices of the current
+            iteration.
+
+        """
+        next(self._it)
+        return self._it.multi_index
+
+
+# You can do all this with slice() plus a few special objects,
+# but there's a lot to remember. This version is simpler because
+# it uses the standard array indexing syntax.
+#
+# Written by Konrad Hinsen 
+# last revision: 1999-7-23
+#
+# Cosmetic changes by T. Oliphant 2001
+#
+#
+
+class IndexExpression:
+    """
+    A nicer way to build up index tuples for arrays.
+
+    .. note::
+       Use one of the two predefined instances ``index_exp`` or `s_`
+       rather than directly using `IndexExpression`.
+
+    For any index combination, including slicing and axis insertion,
+    ``a[indices]`` is the same as ``a[np.index_exp[indices]]`` for any
+    array `a`. However, ``np.index_exp[indices]`` can be used anywhere
+    in Python code and returns a tuple of slice objects that can be
+    used in the construction of complex index expressions.
+
+    Parameters
+    ----------
+    maketuple : bool
+        If True, always returns a tuple.
+
+    See Also
+    --------
+    s_ : Predefined instance without tuple conversion:
+       `s_ = IndexExpression(maketuple=False)`.
+       The ``index_exp`` is another predefined instance that
+       always returns a tuple:
+       `index_exp = IndexExpression(maketuple=True)`.
+
+    Notes
+    -----
+    You can do all this with :class:`slice` plus a few special objects,
+    but there's a lot to remember and this version is simpler because
+    it uses the standard array indexing syntax.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.s_[2::2]
+    slice(2, None, 2)
+    >>> np.index_exp[2::2]
+    (slice(2, None, 2),)
+
+    >>> np.array([0, 1, 2, 3, 4])[np.s_[2::2]]
+    array([2, 4])
+
+    """
+    __slots__ = ('maketuple',)
+
+    def __init__(self, maketuple):
+        self.maketuple = maketuple
+
+    def __getitem__(self, item):
+        if self.maketuple and not isinstance(item, tuple):
+            return (item,)
+        else:
+            return item
+
+
+index_exp = IndexExpression(maketuple=True)
+s_ = IndexExpression(maketuple=False)
+
+# End contribution from Konrad.
+
+
+# The following functions complement those in twodim_base, but are
+# applicable to N-dimensions.
+
+
+def _fill_diagonal_dispatcher(a, val, wrap=None):
+    return (a,)
+
+
+@array_function_dispatch(_fill_diagonal_dispatcher)
+def fill_diagonal(a, val, wrap=False):
+    """Fill the main diagonal of the given array of any dimensionality.
+
+    For an array `a` with ``a.ndim >= 2``, the diagonal is the list of
+    values ``a[i, ..., i]`` with indices ``i`` all identical.  This function
+    modifies the input array in-place without returning a value.
+
+    Parameters
+    ----------
+    a : array, at least 2-D.
+      Array whose diagonal is to be filled in-place.
+    val : scalar or array_like
+      Value(s) to write on the diagonal. If `val` is scalar, the value is
+      written along the diagonal. If array-like, the flattened `val` is
+      written along the diagonal, repeating if necessary to fill all
+      diagonal entries.
+
+    wrap : bool
+      For tall matrices in NumPy version up to 1.6.2, the
+      diagonal "wrapped" after N columns. You can have this behavior
+      with this option. This affects only tall matrices.
+
+    See also
+    --------
+    diag_indices, diag_indices_from
+
+    Notes
+    -----
+    This functionality can be obtained via `diag_indices`, but internally
+    this version uses a much faster implementation that never constructs the
+    indices and uses simple slicing.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.zeros((3, 3), int)
+    >>> np.fill_diagonal(a, 5)
+    >>> a
+    array([[5, 0, 0],
+           [0, 5, 0],
+           [0, 0, 5]])
+
+    The same function can operate on a 4-D array:
+
+    >>> a = np.zeros((3, 3, 3, 3), int)
+    >>> np.fill_diagonal(a, 4)
+
+    We only show a few blocks for clarity:
+
+    >>> a[0, 0]
+    array([[4, 0, 0],
+           [0, 0, 0],
+           [0, 0, 0]])
+    >>> a[1, 1]
+    array([[0, 0, 0],
+           [0, 4, 0],
+           [0, 0, 0]])
+    >>> a[2, 2]
+    array([[0, 0, 0],
+           [0, 0, 0],
+           [0, 0, 4]])
+
+    The wrap option affects only tall matrices:
+
+    >>> # tall matrices no wrap
+    >>> a = np.zeros((5, 3), int)
+    >>> np.fill_diagonal(a, 4)
+    >>> a
+    array([[4, 0, 0],
+           [0, 4, 0],
+           [0, 0, 4],
+           [0, 0, 0],
+           [0, 0, 0]])
+
+    >>> # tall matrices wrap
+    >>> a = np.zeros((5, 3), int)
+    >>> np.fill_diagonal(a, 4, wrap=True)
+    >>> a
+    array([[4, 0, 0],
+           [0, 4, 0],
+           [0, 0, 4],
+           [0, 0, 0],
+           [4, 0, 0]])
+
+    >>> # wide matrices
+    >>> a = np.zeros((3, 5), int)
+    >>> np.fill_diagonal(a, 4, wrap=True)
+    >>> a
+    array([[4, 0, 0, 0, 0],
+           [0, 4, 0, 0, 0],
+           [0, 0, 4, 0, 0]])
+
+    The anti-diagonal can be filled by reversing the order of elements
+    using either `numpy.flipud` or `numpy.fliplr`.
+
+    >>> a = np.zeros((3, 3), int);
+    >>> np.fill_diagonal(np.fliplr(a), [1,2,3])  # Horizontal flip
+    >>> a
+    array([[0, 0, 1],
+           [0, 2, 0],
+           [3, 0, 0]])
+    >>> np.fill_diagonal(np.flipud(a), [1,2,3])  # Vertical flip
+    >>> a
+    array([[0, 0, 3],
+           [0, 2, 0],
+           [1, 0, 0]])
+
+    Note that the order in which the diagonal is filled varies depending
+    on the flip function.
+    """
+    if a.ndim < 2:
+        raise ValueError("array must be at least 2-d")
+    end = None
+    if a.ndim == 2:
+        # Explicit, fast formula for the common case.  For 2-d arrays, we
+        # accept rectangular ones.
+        step = a.shape[1] + 1
+        # This is needed to don't have tall matrix have the diagonal wrap.
+        if not wrap:
+            end = a.shape[1] * a.shape[1]
+    else:
+        # For more than d=2, the strided formula is only valid for arrays with
+        # all dimensions equal, so we check first.
+        if not np.all(diff(a.shape) == 0):
+            raise ValueError("All dimensions of input must be of equal length")
+        step = 1 + (np.cumprod(a.shape[:-1])).sum()
+
+    # Write the value out into the diagonal.
+    a.flat[:end:step] = val
+
+
+@set_module('numpy')
+def diag_indices(n, ndim=2):
+    """
+    Return the indices to access the main diagonal of an array.
+
+    This returns a tuple of indices that can be used to access the main
+    diagonal of an array `a` with ``a.ndim >= 2`` dimensions and shape
+    (n, n, ..., n). For ``a.ndim = 2`` this is the usual diagonal, for
+    ``a.ndim > 2`` this is the set of indices to access ``a[i, i, ..., i]``
+    for ``i = [0..n-1]``.
+
+    Parameters
+    ----------
+    n : int
+      The size, along each dimension, of the arrays for which the returned
+      indices can be used.
+
+    ndim : int, optional
+      The number of dimensions.
+
+    See Also
+    --------
+    diag_indices_from
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Create a set of indices to access the diagonal of a (4, 4) array:
+
+    >>> di = np.diag_indices(4)
+    >>> di
+    (array([0, 1, 2, 3]), array([0, 1, 2, 3]))
+    >>> a = np.arange(16).reshape(4, 4)
+    >>> a
+    array([[ 0,  1,  2,  3],
+           [ 4,  5,  6,  7],
+           [ 8,  9, 10, 11],
+           [12, 13, 14, 15]])
+    >>> a[di] = 100
+    >>> a
+    array([[100,   1,   2,   3],
+           [  4, 100,   6,   7],
+           [  8,   9, 100,  11],
+           [ 12,  13,  14, 100]])
+
+    Now, we create indices to manipulate a 3-D array:
+
+    >>> d3 = np.diag_indices(2, 3)
+    >>> d3
+    (array([0, 1]), array([0, 1]), array([0, 1]))
+
+    And use it to set the diagonal of an array of zeros to 1:
+
+    >>> a = np.zeros((2, 2, 2), dtype=int)
+    >>> a[d3] = 1
+    >>> a
+    array([[[1, 0],
+            [0, 0]],
+           [[0, 0],
+            [0, 1]]])
+
+    """
+    idx = np.arange(n)
+    return (idx,) * ndim
+
+
+def _diag_indices_from(arr):
+    return (arr,)
+
+
+@array_function_dispatch(_diag_indices_from)
+def diag_indices_from(arr):
+    """
+    Return the indices to access the main diagonal of an n-dimensional array.
+
+    See `diag_indices` for full details.
+
+    Parameters
+    ----------
+    arr : array, at least 2-D
+
+    See Also
+    --------
+    diag_indices
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Create a 4 by 4 array.
+
+    >>> a = np.arange(16).reshape(4, 4)
+    >>> a
+    array([[ 0,  1,  2,  3],
+           [ 4,  5,  6,  7],
+           [ 8,  9, 10, 11],
+           [12, 13, 14, 15]])
+
+    Get the indices of the diagonal elements.
+
+    >>> di = np.diag_indices_from(a)
+    >>> di
+    (array([0, 1, 2, 3]), array([0, 1, 2, 3]))
+
+    >>> a[di]
+    array([ 0,  5, 10, 15])
+
+    This is simply syntactic sugar for diag_indices.
+
+    >>> np.diag_indices(a.shape[0])
+    (array([0, 1, 2, 3]), array([0, 1, 2, 3]))
+
+    """
+
+    if not arr.ndim >= 2:
+        raise ValueError("input array must be at least 2-d")
+    # For more than d=2, the strided formula is only valid for arrays with
+    # all dimensions equal, so we check first.
+    if not np.all(diff(arr.shape) == 0):
+        raise ValueError("All dimensions of input must be of equal length")
+
+    return diag_indices(arr.shape[0], arr.ndim)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_index_tricks_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_index_tricks_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..4a1426fd4d6cb2eeaf7327b8485efc4ca14670af
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_index_tricks_impl.pyi
@@ -0,0 +1,196 @@
+from collections.abc import Sequence
+from typing import Any, ClassVar, Final, Generic, SupportsIndex, final, overload
+from typing import Literal as L
+
+from _typeshed import Incomplete
+from typing_extensions import Self, TypeVar, deprecated
+
+import numpy as np
+from numpy._core.multiarray import ravel_multi_index, unravel_index
+from numpy._typing import (
+    ArrayLike,
+    NDArray,
+    _FiniteNestedSequence,
+    _NestedSequence,
+    _Shape,
+    _SupportsArray,
+    _SupportsDType,
+)
+
+__all__ = [  # noqa: RUF022
+    "ravel_multi_index",
+    "unravel_index",
+    "mgrid",
+    "ogrid",
+    "r_",
+    "c_",
+    "s_",
+    "index_exp",
+    "ix_",
+    "ndenumerate",
+    "ndindex",
+    "fill_diagonal",
+    "diag_indices",
+    "diag_indices_from",
+]
+
+###
+
+_T = TypeVar("_T")
+_TupleT = TypeVar("_TupleT", bound=tuple[Any, ...])
+_ArrayT = TypeVar("_ArrayT", bound=NDArray[Any])
+_DTypeT = TypeVar("_DTypeT", bound=np.dtype[Any])
+_ScalarT = TypeVar("_ScalarT", bound=np.generic)
+_ScalarT_co = TypeVar("_ScalarT_co", bound=np.generic, covariant=True)
+_BoolT_co = TypeVar("_BoolT_co", bound=bool, default=bool, covariant=True)
+
+_AxisT_co = TypeVar("_AxisT_co", bound=int, default=L[0], covariant=True)
+_MatrixT_co = TypeVar("_MatrixT_co", bound=bool, default=L[False], covariant=True)
+_NDMinT_co = TypeVar("_NDMinT_co", bound=int, default=L[1], covariant=True)
+_Trans1DT_co = TypeVar("_Trans1DT_co", bound=int, default=L[-1], covariant=True)
+
+###
+
+class ndenumerate(Generic[_ScalarT_co]):
+    @overload
+    def __new__(cls, arr: _FiniteNestedSequence[_SupportsArray[np.dtype[_ScalarT]]]) -> ndenumerate[_ScalarT]: ...
+    @overload
+    def __new__(cls, arr: str | _NestedSequence[str]) -> ndenumerate[np.str_]: ...
+    @overload
+    def __new__(cls, arr: bytes | _NestedSequence[bytes]) -> ndenumerate[np.bytes_]: ...
+    @overload
+    def __new__(cls, arr: bool | _NestedSequence[bool]) -> ndenumerate[np.bool]: ...
+    @overload
+    def __new__(cls, arr: int | _NestedSequence[int]) -> ndenumerate[np.intp]: ...
+    @overload
+    def __new__(cls, arr: float | _NestedSequence[float]) -> ndenumerate[np.float64]: ...
+    @overload
+    def __new__(cls, arr: complex | _NestedSequence[complex]) -> ndenumerate[np.complex128]: ...
+    @overload
+    def __new__(cls, arr: object) -> ndenumerate[Any]: ...
+
+    # The first overload is a (semi-)workaround for a mypy bug (tested with v1.10 and v1.11)
+    @overload
+    def __next__(
+        self: ndenumerate[np.bool | np.number | np.flexible | np.datetime64 | np.timedelta64],
+        /,
+    ) -> tuple[tuple[int, ...], _ScalarT_co]: ...
+    @overload
+    def __next__(self: ndenumerate[np.object_], /) -> tuple[tuple[int, ...], Any]: ...
+    @overload
+    def __next__(self, /) -> tuple[tuple[int, ...], _ScalarT_co]: ...
+
+    #
+    def __iter__(self) -> Self: ...
+
+class ndindex:
+    @overload
+    def __init__(self, shape: tuple[SupportsIndex, ...], /) -> None: ...
+    @overload
+    def __init__(self, /, *shape: SupportsIndex) -> None: ...
+
+    #
+    def __iter__(self) -> Self: ...
+    def __next__(self) -> tuple[int, ...]: ...
+
+    #
+    @deprecated("Deprecated since 1.20.0.")
+    def ndincr(self, /) -> None: ...
+
+class nd_grid(Generic[_BoolT_co]):
+    sparse: _BoolT_co
+    def __init__(self, sparse: _BoolT_co = ...) -> None: ...
+    @overload
+    def __getitem__(self: nd_grid[L[False]], key: slice | Sequence[slice]) -> NDArray[Any]: ...
+    @overload
+    def __getitem__(self: nd_grid[L[True]], key: slice | Sequence[slice]) -> tuple[NDArray[Any], ...]: ...
+
+@final
+class MGridClass(nd_grid[L[False]]):
+    def __init__(self) -> None: ...
+
+@final
+class OGridClass(nd_grid[L[True]]):
+    def __init__(self) -> None: ...
+
+class AxisConcatenator(Generic[_AxisT_co, _MatrixT_co, _NDMinT_co, _Trans1DT_co]):
+    __slots__ = "axis", "matrix", "ndmin", "trans1d"
+
+    makemat: ClassVar[type[np.matrix[tuple[int, int], np.dtype[Any]]]]
+
+    axis: _AxisT_co
+    matrix: _MatrixT_co
+    ndmin: _NDMinT_co
+    trans1d: _Trans1DT_co
+
+    #
+    def __init__(
+        self,
+        /,
+        axis: _AxisT_co = ...,
+        matrix: _MatrixT_co = ...,
+        ndmin: _NDMinT_co = ...,
+        trans1d: _Trans1DT_co = ...,
+    ) -> None: ...
+
+    # TODO(jorenham): annotate this
+    def __getitem__(self, key: Incomplete, /) -> Incomplete: ...
+    def __len__(self, /) -> L[0]: ...
+
+    #
+    @staticmethod
+    @overload
+    def concatenate(*a: ArrayLike, axis: SupportsIndex | None = 0, out: _ArrayT) -> _ArrayT: ...
+    @staticmethod
+    @overload
+    def concatenate(*a: ArrayLike, axis: SupportsIndex | None = 0, out: None = None) -> NDArray[Any]: ...
+
+@final
+class RClass(AxisConcatenator[L[0], L[False], L[1], L[-1]]):
+    def __init__(self, /) -> None: ...
+
+@final
+class CClass(AxisConcatenator[L[-1], L[False], L[2], L[0]]):
+    def __init__(self, /) -> None: ...
+
+class IndexExpression(Generic[_BoolT_co]):
+    maketuple: _BoolT_co
+    def __init__(self, maketuple: _BoolT_co) -> None: ...
+    @overload
+    def __getitem__(self, item: _TupleT) -> _TupleT: ...
+    @overload
+    def __getitem__(self: IndexExpression[L[True]], item: _T) -> tuple[_T]: ...
+    @overload
+    def __getitem__(self: IndexExpression[L[False]], item: _T) -> _T: ...
+
+@overload
+def ix_(*args: _FiniteNestedSequence[_SupportsDType[_DTypeT]]) -> tuple[np.ndarray[_Shape, _DTypeT], ...]: ...
+@overload
+def ix_(*args: str | _NestedSequence[str]) -> tuple[NDArray[np.str_], ...]: ...
+@overload
+def ix_(*args: bytes | _NestedSequence[bytes]) -> tuple[NDArray[np.bytes_], ...]: ...
+@overload
+def ix_(*args: bool | _NestedSequence[bool]) -> tuple[NDArray[np.bool], ...]: ...
+@overload
+def ix_(*args: int | _NestedSequence[int]) -> tuple[NDArray[np.intp], ...]: ...
+@overload
+def ix_(*args: float | _NestedSequence[float]) -> tuple[NDArray[np.float64], ...]: ...
+@overload
+def ix_(*args: complex | _NestedSequence[complex]) -> tuple[NDArray[np.complex128], ...]: ...
+
+#
+def fill_diagonal(a: NDArray[Any], val: object, wrap: bool = ...) -> None: ...
+
+#
+def diag_indices(n: int, ndim: int = ...) -> tuple[NDArray[np.intp], ...]: ...
+def diag_indices_from(arr: ArrayLike) -> tuple[NDArray[np.intp], ...]: ...
+
+#
+mgrid: Final[MGridClass] = ...
+ogrid: Final[OGridClass] = ...
+
+r_: Final[RClass] = ...
+c_: Final[CClass] = ...
+
+index_exp: Final[IndexExpression[L[True]]] = ...
+s_: Final[IndexExpression[L[False]]] = ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_iotools.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_iotools.py
new file mode 100644
index 0000000000000000000000000000000000000000..908ca7762fdd16d9b725e29c7851366ea4d4bec7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_iotools.py
@@ -0,0 +1,899 @@
+"""A collection of functions designed to help I/O with ascii files.
+
+"""
+__docformat__ = "restructuredtext en"
+
+import numpy as np
+import numpy._core.numeric as nx
+from numpy._utils import asbytes, asunicode
+
+
+def _decode_line(line, encoding=None):
+    """Decode bytes from binary input streams.
+
+    Defaults to decoding from 'latin1'. That differs from the behavior of
+    np.compat.asunicode that decodes from 'ascii'.
+
+    Parameters
+    ----------
+    line : str or bytes
+         Line to be decoded.
+    encoding : str
+         Encoding used to decode `line`.
+
+    Returns
+    -------
+    decoded_line : str
+
+    """
+    if type(line) is bytes:
+        if encoding is None:
+            encoding = "latin1"
+        line = line.decode(encoding)
+
+    return line
+
+
+def _is_string_like(obj):
+    """
+    Check whether obj behaves like a string.
+    """
+    try:
+        obj + ''
+    except (TypeError, ValueError):
+        return False
+    return True
+
+
+def _is_bytes_like(obj):
+    """
+    Check whether obj behaves like a bytes object.
+    """
+    try:
+        obj + b''
+    except (TypeError, ValueError):
+        return False
+    return True
+
+
+def has_nested_fields(ndtype):
+    """
+    Returns whether one or several fields of a dtype are nested.
+
+    Parameters
+    ----------
+    ndtype : dtype
+        Data-type of a structured array.
+
+    Raises
+    ------
+    AttributeError
+        If `ndtype` does not have a `names` attribute.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> dt = np.dtype([('name', 'S4'), ('x', float), ('y', float)])
+    >>> np.lib._iotools.has_nested_fields(dt)
+    False
+
+    """
+    return any(ndtype[name].names is not None for name in ndtype.names or ())
+
+
+def flatten_dtype(ndtype, flatten_base=False):
+    """
+    Unpack a structured data-type by collapsing nested fields and/or fields
+    with a shape.
+
+    Note that the field names are lost.
+
+    Parameters
+    ----------
+    ndtype : dtype
+        The datatype to collapse
+    flatten_base : bool, optional
+       If True, transform a field with a shape into several fields. Default is
+       False.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> dt = np.dtype([('name', 'S4'), ('x', float), ('y', float),
+    ...                ('block', int, (2, 3))])
+    >>> np.lib._iotools.flatten_dtype(dt)
+    [dtype('S4'), dtype('float64'), dtype('float64'), dtype('int64')]
+    >>> np.lib._iotools.flatten_dtype(dt, flatten_base=True)
+    [dtype('S4'),
+     dtype('float64'),
+     dtype('float64'),
+     dtype('int64'),
+     dtype('int64'),
+     dtype('int64'),
+     dtype('int64'),
+     dtype('int64'),
+     dtype('int64')]
+
+    """
+    names = ndtype.names
+    if names is None:
+        if flatten_base:
+            return [ndtype.base] * int(np.prod(ndtype.shape))
+        return [ndtype.base]
+    else:
+        types = []
+        for field in names:
+            info = ndtype.fields[field]
+            flat_dt = flatten_dtype(info[0], flatten_base)
+            types.extend(flat_dt)
+        return types
+
+
+class LineSplitter:
+    """
+    Object to split a string at a given delimiter or at given places.
+
+    Parameters
+    ----------
+    delimiter : str, int, or sequence of ints, optional
+        If a string, character used to delimit consecutive fields.
+        If an integer or a sequence of integers, width(s) of each field.
+    comments : str, optional
+        Character used to mark the beginning of a comment. Default is '#'.
+    autostrip : bool, optional
+        Whether to strip each individual field. Default is True.
+
+    """
+
+    def autostrip(self, method):
+        """
+        Wrapper to strip each member of the output of `method`.
+
+        Parameters
+        ----------
+        method : function
+            Function that takes a single argument and returns a sequence of
+            strings.
+
+        Returns
+        -------
+        wrapped : function
+            The result of wrapping `method`. `wrapped` takes a single input
+            argument and returns a list of strings that are stripped of
+            white-space.
+
+        """
+        return lambda input: [_.strip() for _ in method(input)]
+
+    def __init__(self, delimiter=None, comments='#', autostrip=True,
+                 encoding=None):
+        delimiter = _decode_line(delimiter)
+        comments = _decode_line(comments)
+
+        self.comments = comments
+
+        # Delimiter is a character
+        if (delimiter is None) or isinstance(delimiter, str):
+            delimiter = delimiter or None
+            _handyman = self._delimited_splitter
+        # Delimiter is a list of field widths
+        elif hasattr(delimiter, '__iter__'):
+            _handyman = self._variablewidth_splitter
+            idx = np.cumsum([0] + list(delimiter))
+            delimiter = [slice(i, j) for (i, j) in zip(idx[:-1], idx[1:])]
+        # Delimiter is a single integer
+        elif int(delimiter):
+            (_handyman, delimiter) = (
+                    self._fixedwidth_splitter, int(delimiter))
+        else:
+            (_handyman, delimiter) = (self._delimited_splitter, None)
+        self.delimiter = delimiter
+        if autostrip:
+            self._handyman = self.autostrip(_handyman)
+        else:
+            self._handyman = _handyman
+        self.encoding = encoding
+
+    def _delimited_splitter(self, line):
+        """Chop off comments, strip, and split at delimiter. """
+        if self.comments is not None:
+            line = line.split(self.comments)[0]
+        line = line.strip(" \r\n")
+        if not line:
+            return []
+        return line.split(self.delimiter)
+
+    def _fixedwidth_splitter(self, line):
+        if self.comments is not None:
+            line = line.split(self.comments)[0]
+        line = line.strip("\r\n")
+        if not line:
+            return []
+        fixed = self.delimiter
+        slices = [slice(i, i + fixed) for i in range(0, len(line), fixed)]
+        return [line[s] for s in slices]
+
+    def _variablewidth_splitter(self, line):
+        if self.comments is not None:
+            line = line.split(self.comments)[0]
+        if not line:
+            return []
+        slices = self.delimiter
+        return [line[s] for s in slices]
+
+    def __call__(self, line):
+        return self._handyman(_decode_line(line, self.encoding))
+
+
+class NameValidator:
+    """
+    Object to validate a list of strings to use as field names.
+
+    The strings are stripped of any non alphanumeric character, and spaces
+    are replaced by '_'. During instantiation, the user can define a list
+    of names to exclude, as well as a list of invalid characters. Names in
+    the exclusion list are appended a '_' character.
+
+    Once an instance has been created, it can be called with a list of
+    names, and a list of valid names will be created.  The `__call__`
+    method accepts an optional keyword "default" that sets the default name
+    in case of ambiguity. By default this is 'f', so that names will
+    default to `f0`, `f1`, etc.
+
+    Parameters
+    ----------
+    excludelist : sequence, optional
+        A list of names to exclude. This list is appended to the default
+        list ['return', 'file', 'print']. Excluded names are appended an
+        underscore: for example, `file` becomes `file_` if supplied.
+    deletechars : str, optional
+        A string combining invalid characters that must be deleted from the
+        names.
+    case_sensitive : {True, False, 'upper', 'lower'}, optional
+        * If True, field names are case-sensitive.
+        * If False or 'upper', field names are converted to upper case.
+        * If 'lower', field names are converted to lower case.
+
+        The default value is True.
+    replace_space : '_', optional
+        Character(s) used in replacement of white spaces.
+
+    Notes
+    -----
+    Calling an instance of `NameValidator` is the same as calling its
+    method `validate`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> validator = np.lib._iotools.NameValidator()
+    >>> validator(['file', 'field2', 'with space', 'CaSe'])
+    ('file_', 'field2', 'with_space', 'CaSe')
+
+    >>> validator = np.lib._iotools.NameValidator(excludelist=['excl'],
+    ...                                           deletechars='q',
+    ...                                           case_sensitive=False)
+    >>> validator(['excl', 'field2', 'no_q', 'with space', 'CaSe'])
+    ('EXCL', 'FIELD2', 'NO_Q', 'WITH_SPACE', 'CASE')
+
+    """
+
+    defaultexcludelist = ['return', 'file', 'print']
+    defaultdeletechars = set(r"""~!@#$%^&*()-=+~\|]}[{';: /?.>,<""")
+
+    def __init__(self, excludelist=None, deletechars=None,
+                 case_sensitive=None, replace_space='_'):
+        # Process the exclusion list ..
+        if excludelist is None:
+            excludelist = []
+        excludelist.extend(self.defaultexcludelist)
+        self.excludelist = excludelist
+        # Process the list of characters to delete
+        if deletechars is None:
+            delete = self.defaultdeletechars
+        else:
+            delete = set(deletechars)
+        delete.add('"')
+        self.deletechars = delete
+        # Process the case option .....
+        if (case_sensitive is None) or (case_sensitive is True):
+            self.case_converter = lambda x: x
+        elif (case_sensitive is False) or case_sensitive.startswith('u'):
+            self.case_converter = lambda x: x.upper()
+        elif case_sensitive.startswith('l'):
+            self.case_converter = lambda x: x.lower()
+        else:
+            msg = 'unrecognized case_sensitive value %s.' % case_sensitive
+            raise ValueError(msg)
+
+        self.replace_space = replace_space
+
+    def validate(self, names, defaultfmt="f%i", nbfields=None):
+        """
+        Validate a list of strings as field names for a structured array.
+
+        Parameters
+        ----------
+        names : sequence of str
+            Strings to be validated.
+        defaultfmt : str, optional
+            Default format string, used if validating a given string
+            reduces its length to zero.
+        nbfields : integer, optional
+            Final number of validated names, used to expand or shrink the
+            initial list of names.
+
+        Returns
+        -------
+        validatednames : list of str
+            The list of validated field names.
+
+        Notes
+        -----
+        A `NameValidator` instance can be called directly, which is the
+        same as calling `validate`. For examples, see `NameValidator`.
+
+        """
+        # Initial checks ..............
+        if (names is None):
+            if (nbfields is None):
+                return None
+            names = []
+        if isinstance(names, str):
+            names = [names, ]
+        if nbfields is not None:
+            nbnames = len(names)
+            if (nbnames < nbfields):
+                names = list(names) + [''] * (nbfields - nbnames)
+            elif (nbnames > nbfields):
+                names = names[:nbfields]
+        # Set some shortcuts ...........
+        deletechars = self.deletechars
+        excludelist = self.excludelist
+        case_converter = self.case_converter
+        replace_space = self.replace_space
+        # Initializes some variables ...
+        validatednames = []
+        seen = dict()
+        nbempty = 0
+
+        for item in names:
+            item = case_converter(item).strip()
+            if replace_space:
+                item = item.replace(' ', replace_space)
+            item = ''.join([c for c in item if c not in deletechars])
+            if item == '':
+                item = defaultfmt % nbempty
+                while item in names:
+                    nbempty += 1
+                    item = defaultfmt % nbempty
+                nbempty += 1
+            elif item in excludelist:
+                item += '_'
+            cnt = seen.get(item, 0)
+            if cnt > 0:
+                validatednames.append(item + '_%d' % cnt)
+            else:
+                validatednames.append(item)
+            seen[item] = cnt + 1
+        return tuple(validatednames)
+
+    def __call__(self, names, defaultfmt="f%i", nbfields=None):
+        return self.validate(names, defaultfmt=defaultfmt, nbfields=nbfields)
+
+
+def str2bool(value):
+    """
+    Tries to transform a string supposed to represent a boolean to a boolean.
+
+    Parameters
+    ----------
+    value : str
+        The string that is transformed to a boolean.
+
+    Returns
+    -------
+    boolval : bool
+        The boolean representation of `value`.
+
+    Raises
+    ------
+    ValueError
+        If the string is not 'True' or 'False' (case independent)
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.lib._iotools.str2bool('TRUE')
+    True
+    >>> np.lib._iotools.str2bool('false')
+    False
+
+    """
+    value = value.upper()
+    if value == 'TRUE':
+        return True
+    elif value == 'FALSE':
+        return False
+    else:
+        raise ValueError("Invalid boolean")
+
+
+class ConverterError(Exception):
+    """
+    Exception raised when an error occurs in a converter for string values.
+
+    """
+    pass
+
+
+class ConverterLockError(ConverterError):
+    """
+    Exception raised when an attempt is made to upgrade a locked converter.
+
+    """
+    pass
+
+
+class ConversionWarning(UserWarning):
+    """
+    Warning issued when a string converter has a problem.
+
+    Notes
+    -----
+    In `genfromtxt` a `ConversionWarning` is issued if raising exceptions
+    is explicitly suppressed with the "invalid_raise" keyword.
+
+    """
+    pass
+
+
+class StringConverter:
+    """
+    Factory class for function transforming a string into another object
+    (int, float).
+
+    After initialization, an instance can be called to transform a string
+    into another object. If the string is recognized as representing a
+    missing value, a default value is returned.
+
+    Attributes
+    ----------
+    func : function
+        Function used for the conversion.
+    default : any
+        Default value to return when the input corresponds to a missing
+        value.
+    type : type
+        Type of the output.
+    _status : int
+        Integer representing the order of the conversion.
+    _mapper : sequence of tuples
+        Sequence of tuples (dtype, function, default value) to evaluate in
+        order.
+    _locked : bool
+        Holds `locked` parameter.
+
+    Parameters
+    ----------
+    dtype_or_func : {None, dtype, function}, optional
+        If a `dtype`, specifies the input data type, used to define a basic
+        function and a default value for missing data. For example, when
+        `dtype` is float, the `func` attribute is set to `float` and the
+        default value to `np.nan`.  If a function, this function is used to
+        convert a string to another object. In this case, it is recommended
+        to give an associated default value as input.
+    default : any, optional
+        Value to return by default, that is, when the string to be
+        converted is flagged as missing. If not given, `StringConverter`
+        tries to supply a reasonable default value.
+    missing_values : {None, sequence of str}, optional
+        ``None`` or sequence of strings indicating a missing value. If ``None``
+        then missing values are indicated by empty entries. The default is
+        ``None``.
+    locked : bool, optional
+        Whether the StringConverter should be locked to prevent automatic
+        upgrade or not. Default is False.
+
+    """
+    _mapper = [(nx.bool, str2bool, False),
+               (nx.int_, int, -1),]
+
+    # On 32-bit systems, we need to make sure that we explicitly include
+    # nx.int64 since ns.int_ is nx.int32.
+    if nx.dtype(nx.int_).itemsize < nx.dtype(nx.int64).itemsize:
+        _mapper.append((nx.int64, int, -1))
+
+    _mapper.extend([(nx.float64, float, nx.nan),
+                    (nx.complex128, complex, nx.nan + 0j),
+                    (nx.longdouble, nx.longdouble, nx.nan),
+                    # If a non-default dtype is passed, fall back to generic
+                    # ones (should only be used for the converter)
+                    (nx.integer, int, -1),
+                    (nx.floating, float, nx.nan),
+                    (nx.complexfloating, complex, nx.nan + 0j),
+                    # Last, try with the string types (must be last, because
+                    # `_mapper[-1]` is used as default in some cases)
+                    (nx.str_, asunicode, '???'),
+                    (nx.bytes_, asbytes, '???'),
+                    ])
+
+    @classmethod
+    def _getdtype(cls, val):
+        """Returns the dtype of the input variable."""
+        return np.array(val).dtype
+
+    @classmethod
+    def _getsubdtype(cls, val):
+        """Returns the type of the dtype of the input variable."""
+        return np.array(val).dtype.type
+
+    @classmethod
+    def _dtypeortype(cls, dtype):
+        """Returns dtype for datetime64 and type of dtype otherwise."""
+
+        # This is a bit annoying. We want to return the "general" type in most
+        # cases (ie. "string" rather than "S10"), but we want to return the
+        # specific type for datetime64 (ie. "datetime64[us]" rather than
+        # "datetime64").
+        if dtype.type == np.datetime64:
+            return dtype
+        return dtype.type
+
+    @classmethod
+    def upgrade_mapper(cls, func, default=None):
+        """
+        Upgrade the mapper of a StringConverter by adding a new function and
+        its corresponding default.
+
+        The input function (or sequence of functions) and its associated
+        default value (if any) is inserted in penultimate position of the
+        mapper.  The corresponding type is estimated from the dtype of the
+        default value.
+
+        Parameters
+        ----------
+        func : var
+            Function, or sequence of functions
+
+        Examples
+        --------
+        >>> import dateutil.parser
+        >>> import datetime
+        >>> dateparser = dateutil.parser.parse
+        >>> defaultdate = datetime.date(2000, 1, 1)
+        >>> StringConverter.upgrade_mapper(dateparser, default=defaultdate)
+        """
+        # Func is a single functions
+        if callable(func):
+            cls._mapper.insert(-1, (cls._getsubdtype(default), func, default))
+            return
+        elif hasattr(func, '__iter__'):
+            if isinstance(func[0], (tuple, list)):
+                for _ in func:
+                    cls._mapper.insert(-1, _)
+                return
+            if default is None:
+                default = [None] * len(func)
+            else:
+                default = list(default)
+                default.append([None] * (len(func) - len(default)))
+            for fct, dft in zip(func, default):
+                cls._mapper.insert(-1, (cls._getsubdtype(dft), fct, dft))
+
+    @classmethod
+    def _find_map_entry(cls, dtype):
+        # if a converter for the specific dtype is available use that
+        for i, (deftype, func, default_def) in enumerate(cls._mapper):
+            if dtype.type == deftype:
+                return i, (deftype, func, default_def)
+
+        # otherwise find an inexact match
+        for i, (deftype, func, default_def) in enumerate(cls._mapper):
+            if np.issubdtype(dtype.type, deftype):
+                return i, (deftype, func, default_def)
+
+        raise LookupError
+
+    def __init__(self, dtype_or_func=None, default=None, missing_values=None,
+                 locked=False):
+        # Defines a lock for upgrade
+        self._locked = bool(locked)
+        # No input dtype: minimal initialization
+        if dtype_or_func is None:
+            self.func = str2bool
+            self._status = 0
+            self.default = default or False
+            dtype = np.dtype('bool')
+        else:
+            # Is the input a np.dtype ?
+            try:
+                self.func = None
+                dtype = np.dtype(dtype_or_func)
+            except TypeError:
+                # dtype_or_func must be a function, then
+                if not callable(dtype_or_func):
+                    errmsg = ("The input argument `dtype` is neither a"
+                              " function nor a dtype (got '%s' instead)")
+                    raise TypeError(errmsg % type(dtype_or_func))
+                # Set the function
+                self.func = dtype_or_func
+                # If we don't have a default, try to guess it or set it to
+                # None
+                if default is None:
+                    try:
+                        default = self.func('0')
+                    except ValueError:
+                        default = None
+                dtype = self._getdtype(default)
+
+            # find the best match in our mapper
+            try:
+                self._status, (_, func, default_def) = self._find_map_entry(dtype)
+            except LookupError:
+                # no match
+                self.default = default
+                _, func, _ = self._mapper[-1]
+                self._status = 0
+            else:
+                # use the found default only if we did not already have one
+                if default is None:
+                    self.default = default_def
+                else:
+                    self.default = default
+
+            # If the input was a dtype, set the function to the last we saw
+            if self.func is None:
+                self.func = func
+
+            # If the status is 1 (int), change the function to
+            # something more robust.
+            if self.func == self._mapper[1][1]:
+                if issubclass(dtype.type, np.uint64):
+                    self.func = np.uint64
+                elif issubclass(dtype.type, np.int64):
+                    self.func = np.int64
+                else:
+                    self.func = lambda x: int(float(x))
+        # Store the list of strings corresponding to missing values.
+        if missing_values is None:
+            self.missing_values = {''}
+        else:
+            if isinstance(missing_values, str):
+                missing_values = missing_values.split(",")
+            self.missing_values = set(list(missing_values) + [''])
+
+        self._callingfunction = self._strict_call
+        self.type = self._dtypeortype(dtype)
+        self._checked = False
+        self._initial_default = default
+
+    def _loose_call(self, value):
+        try:
+            return self.func(value)
+        except ValueError:
+            return self.default
+
+    def _strict_call(self, value):
+        try:
+
+            # We check if we can convert the value using the current function
+            new_value = self.func(value)
+
+            # In addition to having to check whether func can convert the
+            # value, we also have to make sure that we don't get overflow
+            # errors for integers.
+            if self.func is int:
+                try:
+                    np.array(value, dtype=self.type)
+                except OverflowError:
+                    raise ValueError
+
+            # We're still here so we can now return the new value
+            return new_value
+
+        except ValueError:
+            if value.strip() in self.missing_values:
+                if not self._status:
+                    self._checked = False
+                return self.default
+            raise ValueError("Cannot convert string '%s'" % value)
+
+    def __call__(self, value):
+        return self._callingfunction(value)
+
+    def _do_upgrade(self):
+        # Raise an exception if we locked the converter...
+        if self._locked:
+            errmsg = "Converter is locked and cannot be upgraded"
+            raise ConverterLockError(errmsg)
+        _statusmax = len(self._mapper)
+        # Complains if we try to upgrade by the maximum
+        _status = self._status
+        if _status == _statusmax:
+            errmsg = "Could not find a valid conversion function"
+            raise ConverterError(errmsg)
+        elif _status < _statusmax - 1:
+            _status += 1
+        self.type, self.func, default = self._mapper[_status]
+        self._status = _status
+        if self._initial_default is not None:
+            self.default = self._initial_default
+        else:
+            self.default = default
+
+    def upgrade(self, value):
+        """
+        Find the best converter for a given string, and return the result.
+
+        The supplied string `value` is converted by testing different
+        converters in order. First the `func` method of the
+        `StringConverter` instance is tried, if this fails other available
+        converters are tried.  The order in which these other converters
+        are tried is determined by the `_status` attribute of the instance.
+
+        Parameters
+        ----------
+        value : str
+            The string to convert.
+
+        Returns
+        -------
+        out : any
+            The result of converting `value` with the appropriate converter.
+
+        """
+        self._checked = True
+        try:
+            return self._strict_call(value)
+        except ValueError:
+            self._do_upgrade()
+            return self.upgrade(value)
+
+    def iterupgrade(self, value):
+        self._checked = True
+        if not hasattr(value, '__iter__'):
+            value = (value,)
+        _strict_call = self._strict_call
+        try:
+            for _m in value:
+                _strict_call(_m)
+        except ValueError:
+            self._do_upgrade()
+            self.iterupgrade(value)
+
+    def update(self, func, default=None, testing_value=None,
+               missing_values='', locked=False):
+        """
+        Set StringConverter attributes directly.
+
+        Parameters
+        ----------
+        func : function
+            Conversion function.
+        default : any, optional
+            Value to return by default, that is, when the string to be
+            converted is flagged as missing. If not given,
+            `StringConverter` tries to supply a reasonable default value.
+        testing_value : str, optional
+            A string representing a standard input value of the converter.
+            This string is used to help defining a reasonable default
+            value.
+        missing_values : {sequence of str, None}, optional
+            Sequence of strings indicating a missing value. If ``None``, then
+            the existing `missing_values` are cleared. The default is ``''``.
+        locked : bool, optional
+            Whether the StringConverter should be locked to prevent
+            automatic upgrade or not. Default is False.
+
+        Notes
+        -----
+        `update` takes the same parameters as the constructor of
+        `StringConverter`, except that `func` does not accept a `dtype`
+        whereas `dtype_or_func` in the constructor does.
+
+        """
+        self.func = func
+        self._locked = locked
+
+        # Don't reset the default to None if we can avoid it
+        if default is not None:
+            self.default = default
+            self.type = self._dtypeortype(self._getdtype(default))
+        else:
+            try:
+                tester = func(testing_value or '1')
+            except (TypeError, ValueError):
+                tester = None
+            self.type = self._dtypeortype(self._getdtype(tester))
+
+        # Add the missing values to the existing set or clear it.
+        if missing_values is None:
+            # Clear all missing values even though the ctor initializes it to
+            # set(['']) when the argument is None.
+            self.missing_values = set()
+        else:
+            if not np.iterable(missing_values):
+                missing_values = [missing_values]
+            if not all(isinstance(v, str) for v in missing_values):
+                raise TypeError("missing_values must be strings or unicode")
+            self.missing_values.update(missing_values)
+
+
+def easy_dtype(ndtype, names=None, defaultfmt="f%i", **validationargs):
+    """
+    Convenience function to create a `np.dtype` object.
+
+    The function processes the input `dtype` and matches it with the given
+    names.
+
+    Parameters
+    ----------
+    ndtype : var
+        Definition of the dtype. Can be any string or dictionary recognized
+        by the `np.dtype` function, or a sequence of types.
+    names : str or sequence, optional
+        Sequence of strings to use as field names for a structured dtype.
+        For convenience, `names` can be a string of a comma-separated list
+        of names.
+    defaultfmt : str, optional
+        Format string used to define missing names, such as ``"f%i"``
+        (default) or ``"fields_%02i"``.
+    validationargs : optional
+        A series of optional arguments used to initialize a
+        `NameValidator`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.lib._iotools.easy_dtype(float)
+    dtype('float64')
+    >>> np.lib._iotools.easy_dtype("i4, f8")
+    dtype([('f0', '>> np.lib._iotools.easy_dtype("i4, f8", defaultfmt="field_%03i")
+    dtype([('field_000', '>> np.lib._iotools.easy_dtype((int, float, float), names="a,b,c")
+    dtype([('a', '>> np.lib._iotools.easy_dtype(float, names="a,b,c")
+    dtype([('a', ' None: ...
+    def __call__(self, /, line: str | bytes) -> list[str]: ...
+    def autostrip(self, /, method: Callable[[_T], Iterable[str]]) -> Callable[[_T], list[str]]: ...
+
+class NameValidator:
+    defaultexcludelist: ClassVar[Sequence[str]]
+    defaultdeletechars: ClassVar[Sequence[str]]
+    excludelist: list[str]
+    deletechars: set[str]
+    case_converter: Callable[[str], str]
+    replace_space: str
+
+    def __init__(
+        self,
+        /,
+        excludelist: Iterable[str] | None = None,
+        deletechars: Iterable[str] | None = None,
+        case_sensitive: Literal["upper", "lower"] | bool | None = None,
+        replace_space: str = "_",
+    ) -> None: ...
+    def __call__(self, /, names: Iterable[str], defaultfmt: str = "f%i", nbfields: int | None = None) -> tuple[str, ...]: ...
+    def validate(self, /, names: Iterable[str], defaultfmt: str = "f%i", nbfields: int | None = None) -> tuple[str, ...]: ...
+
+class StringConverter:
+    func: Callable[[str], Any] | None
+    default: Any
+    missing_values: set[str]
+    type: np.dtype[np.datetime64] | np.generic
+
+    def __init__(
+        self,
+        /,
+        dtype_or_func: npt.DTypeLike | None = None,
+        default: None = None,
+        missing_values: Iterable[str] | None = None,
+        locked: bool = False,
+    ) -> None: ...
+    def update(
+        self,
+        /,
+        func: Callable[[str], Any],
+        default: object | None = None,
+        testing_value: str | None = None,
+        missing_values: str = "",
+        locked: bool = False,
+    ) -> None: ...
+    #
+    def __call__(self, /, value: str) -> Any: ...
+    def upgrade(self, /, value: str) -> Any: ...
+    def iterupgrade(self, /, value: Iterable[str] | str) -> None: ...
+
+    #
+    @classmethod
+    def upgrade_mapper(cls, func: Callable[[str], Any], default: object | None = None) -> None: ...
+
+@overload
+def str2bool(value: Literal["false", "False", "FALSE"]) -> Literal[False]: ...
+@overload
+def str2bool(value: Literal["true", "True", "TRUE"]) -> Literal[True]: ...
+
+#
+def has_nested_fields(ndtype: np.dtype[np.void]) -> bool: ...
+def flatten_dtype(ndtype: np.dtype[np.void], flatten_base: bool = False) -> type[np.dtype[Any]]: ...
+def easy_dtype(
+    ndtype: npt.DTypeLike,
+    names: Iterable[str] | None = None,
+    defaultfmt: str = "f%i",
+    **validationargs: Unpack[_ValidationKwargs],
+) -> np.dtype[np.void]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_nanfunctions_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_nanfunctions_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..9d0173dbe34018659ab4d9d06bc71ab2189b2fae
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_nanfunctions_impl.py
@@ -0,0 +1,2028 @@
+"""
+Functions that ignore NaN.
+
+Functions
+---------
+
+- `nanmin` -- minimum non-NaN value
+- `nanmax` -- maximum non-NaN value
+- `nanargmin` -- index of minimum non-NaN value
+- `nanargmax` -- index of maximum non-NaN value
+- `nansum` -- sum of non-NaN values
+- `nanprod` -- product of non-NaN values
+- `nancumsum` -- cumulative sum of non-NaN values
+- `nancumprod` -- cumulative product of non-NaN values
+- `nanmean` -- mean of non-NaN values
+- `nanvar` -- variance of non-NaN values
+- `nanstd` -- standard deviation of non-NaN values
+- `nanmedian` -- median of non-NaN values
+- `nanquantile` -- qth quantile of non-NaN values
+- `nanpercentile` -- qth percentile of non-NaN values
+
+"""
+import functools
+import warnings
+import numpy as np
+import numpy._core.numeric as _nx
+from numpy.lib import _function_base_impl as fnb
+from numpy.lib._function_base_impl import _weights_are_valid
+from numpy._core import overrides
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+__all__ = [
+    'nansum', 'nanmax', 'nanmin', 'nanargmax', 'nanargmin', 'nanmean',
+    'nanmedian', 'nanpercentile', 'nanvar', 'nanstd', 'nanprod',
+    'nancumsum', 'nancumprod', 'nanquantile'
+    ]
+
+
+def _nan_mask(a, out=None):
+    """
+    Parameters
+    ----------
+    a : array-like
+        Input array with at least 1 dimension.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  The default
+        is ``None``; if provided, it must have the same shape as the
+        expected output and will prevent the allocation of a new array.
+
+    Returns
+    -------
+    y : bool ndarray or True
+        A bool array where ``np.nan`` positions are marked with ``False``
+        and other positions are marked with ``True``. If the type of ``a``
+        is such that it can't possibly contain ``np.nan``, returns ``True``.
+    """
+    # we assume that a is an array for this private function
+
+    if a.dtype.kind not in 'fc':
+        return True
+
+    y = np.isnan(a, out=out)
+    y = np.invert(y, out=y)
+    return y
+
+def _replace_nan(a, val):
+    """
+    If `a` is of inexact type, make a copy of `a`, replace NaNs with
+    the `val` value, and return the copy together with a boolean mask
+    marking the locations where NaNs were present. If `a` is not of
+    inexact type, do nothing and return `a` together with a mask of None.
+
+    Note that scalars will end up as array scalars, which is important
+    for using the result as the value of the out argument in some
+    operations.
+
+    Parameters
+    ----------
+    a : array-like
+        Input array.
+    val : float
+        NaN values are set to val before doing the operation.
+
+    Returns
+    -------
+    y : ndarray
+        If `a` is of inexact type, return a copy of `a` with the NaNs
+        replaced by the fill value, otherwise return `a`.
+    mask: {bool, None}
+        If `a` is of inexact type, return a boolean mask marking locations of
+        NaNs, otherwise return None.
+
+    """
+    a = np.asanyarray(a)
+
+    if a.dtype == np.object_:
+        # object arrays do not support `isnan` (gh-9009), so make a guess
+        mask = np.not_equal(a, a, dtype=bool)
+    elif issubclass(a.dtype.type, np.inexact):
+        mask = np.isnan(a)
+    else:
+        mask = None
+
+    if mask is not None:
+        a = np.array(a, subok=True, copy=True)
+        np.copyto(a, val, where=mask)
+
+    return a, mask
+
+
+def _copyto(a, val, mask):
+    """
+    Replace values in `a` with NaN where `mask` is True.  This differs from
+    copyto in that it will deal with the case where `a` is a numpy scalar.
+
+    Parameters
+    ----------
+    a : ndarray or numpy scalar
+        Array or numpy scalar some of whose values are to be replaced
+        by val.
+    val : numpy scalar
+        Value used a replacement.
+    mask : ndarray, scalar
+        Boolean array. Where True the corresponding element of `a` is
+        replaced by `val`. Broadcasts.
+
+    Returns
+    -------
+    res : ndarray, scalar
+        Array with elements replaced or scalar `val`.
+
+    """
+    if isinstance(a, np.ndarray):
+        np.copyto(a, val, where=mask, casting='unsafe')
+    else:
+        a = a.dtype.type(val)
+    return a
+
+
+def _remove_nan_1d(arr1d, second_arr1d=None, overwrite_input=False):
+    """
+    Equivalent to arr1d[~arr1d.isnan()], but in a different order
+
+    Presumably faster as it incurs fewer copies
+
+    Parameters
+    ----------
+    arr1d : ndarray
+        Array to remove nans from
+    second_arr1d : ndarray or None
+        A second array which will have the same positions removed as arr1d.
+    overwrite_input : bool
+        True if `arr1d` can be modified in place
+
+    Returns
+    -------
+    res : ndarray
+        Array with nan elements removed
+    second_res : ndarray or None
+        Second array with nan element positions of first array removed.
+    overwrite_input : bool
+        True if `res` can be modified in place, given the constraint on the
+        input
+    """
+    if arr1d.dtype == object:
+        # object arrays do not support `isnan` (gh-9009), so make a guess
+        c = np.not_equal(arr1d, arr1d, dtype=bool)
+    else:
+        c = np.isnan(arr1d)
+
+    s = np.nonzero(c)[0]
+    if s.size == arr1d.size:
+        warnings.warn("All-NaN slice encountered", RuntimeWarning,
+                      stacklevel=6)
+        if second_arr1d is None:
+            return arr1d[:0], None, True
+        else:
+            return arr1d[:0], second_arr1d[:0], True
+    elif s.size == 0:
+        return arr1d, second_arr1d, overwrite_input
+    else:
+        if not overwrite_input:
+            arr1d = arr1d.copy()
+        # select non-nans at end of array
+        enonan = arr1d[-s.size:][~c[-s.size:]]
+        # fill nans in beginning of array with non-nans of end
+        arr1d[s[:enonan.size]] = enonan
+
+        if second_arr1d is None:
+            return arr1d[:-s.size], None, True
+        else:
+            if not overwrite_input:
+                second_arr1d = second_arr1d.copy()
+            enonan = second_arr1d[-s.size:][~c[-s.size:]]
+            second_arr1d[s[:enonan.size]] = enonan
+
+            return arr1d[:-s.size], second_arr1d[:-s.size], True
+
+
+def _divide_by_count(a, b, out=None):
+    """
+    Compute a/b ignoring invalid results. If `a` is an array the division
+    is done in place. If `a` is a scalar, then its type is preserved in the
+    output. If out is None, then a is used instead so that the division
+    is in place. Note that this is only called with `a` an inexact type.
+
+    Parameters
+    ----------
+    a : {ndarray, numpy scalar}
+        Numerator. Expected to be of inexact type but not checked.
+    b : {ndarray, numpy scalar}
+        Denominator.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  The default
+        is ``None``; if provided, it must have the same shape as the
+        expected output, but the type will be cast if necessary.
+
+    Returns
+    -------
+    ret : {ndarray, numpy scalar}
+        The return value is a/b. If `a` was an ndarray the division is done
+        in place. If `a` is a numpy scalar, the division preserves its type.
+
+    """
+    with np.errstate(invalid='ignore', divide='ignore'):
+        if isinstance(a, np.ndarray):
+            if out is None:
+                return np.divide(a, b, out=a, casting='unsafe')
+            else:
+                return np.divide(a, b, out=out, casting='unsafe')
+        else:
+            if out is None:
+                # Precaution against reduced object arrays
+                try:
+                    return a.dtype.type(a / b)
+                except AttributeError:
+                    return a / b
+            else:
+                # This is questionable, but currently a numpy scalar can
+                # be output to a zero dimensional array.
+                return np.divide(a, b, out=out, casting='unsafe')
+
+
+def _nanmin_dispatcher(a, axis=None, out=None, keepdims=None,
+                       initial=None, where=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nanmin_dispatcher)
+def nanmin(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue,
+           where=np._NoValue):
+    """
+    Return minimum of an array or minimum along an axis, ignoring any NaNs.
+    When all-NaN slices are encountered a ``RuntimeWarning`` is raised and
+    Nan is returned for that slice.
+
+    Parameters
+    ----------
+    a : array_like
+        Array containing numbers whose minimum is desired. If `a` is not an
+        array, a conversion is attempted.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the minimum is computed. The default is to compute
+        the minimum of the flattened array.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  The default
+        is ``None``; if provided, it must have the same shape as the
+        expected output, but the type will be cast if necessary. See
+        :ref:`ufuncs-output-type` for more details.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+
+        If the value is anything but the default, then
+        `keepdims` will be passed through to the `min` method
+        of sub-classes of `ndarray`.  If the sub-classes methods
+        does not implement `keepdims` any exceptions will be raised.
+    initial : scalar, optional
+        The maximum value of an output element. Must be present to allow
+        computation on empty slice. See `~numpy.ufunc.reduce` for details.
+
+        .. versionadded:: 1.22.0
+    where : array_like of bool, optional
+        Elements to compare for the minimum. See `~numpy.ufunc.reduce`
+        for details.
+
+        .. versionadded:: 1.22.0
+
+    Returns
+    -------
+    nanmin : ndarray
+        An array with the same shape as `a`, with the specified axis
+        removed.  If `a` is a 0-d array, or if axis is None, an ndarray
+        scalar is returned.  The same dtype as `a` is returned.
+
+    See Also
+    --------
+    nanmax :
+        The maximum value of an array along a given axis, ignoring any NaNs.
+    amin :
+        The minimum value of an array along a given axis, propagating any NaNs.
+    fmin :
+        Element-wise minimum of two arrays, ignoring any NaNs.
+    minimum :
+        Element-wise minimum of two arrays, propagating any NaNs.
+    isnan :
+        Shows which elements are Not a Number (NaN).
+    isfinite:
+        Shows which elements are neither NaN nor infinity.
+
+    amax, fmax, maximum
+
+    Notes
+    -----
+    NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
+    (IEEE 754). This means that Not a Number is not equivalent to infinity.
+    Positive infinity is treated as a very large number and negative
+    infinity is treated as a very small (i.e. negative) number.
+
+    If the input has a integer type the function is equivalent to np.min.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[1, 2], [3, np.nan]])
+    >>> np.nanmin(a)
+    1.0
+    >>> np.nanmin(a, axis=0)
+    array([1.,  2.])
+    >>> np.nanmin(a, axis=1)
+    array([1.,  3.])
+
+    When positive infinity and negative infinity are present:
+
+    >>> np.nanmin([1, 2, np.nan, np.inf])
+    1.0
+    >>> np.nanmin([1, 2, np.nan, -np.inf])
+    -inf
+
+    """
+    kwargs = {}
+    if keepdims is not np._NoValue:
+        kwargs['keepdims'] = keepdims
+    if initial is not np._NoValue:
+        kwargs['initial'] = initial
+    if where is not np._NoValue:
+        kwargs['where'] = where
+
+    if type(a) is np.ndarray and a.dtype != np.object_:
+        # Fast, but not safe for subclasses of ndarray, or object arrays,
+        # which do not implement isnan (gh-9009), or fmin correctly (gh-8975)
+        res = np.fmin.reduce(a, axis=axis, out=out, **kwargs)
+        if np.isnan(res).any():
+            warnings.warn("All-NaN slice encountered", RuntimeWarning,
+                          stacklevel=2)
+    else:
+        # Slow, but safe for subclasses of ndarray
+        a, mask = _replace_nan(a, +np.inf)
+        res = np.amin(a, axis=axis, out=out, **kwargs)
+        if mask is None:
+            return res
+
+        # Check for all-NaN axis
+        kwargs.pop("initial", None)
+        mask = np.all(mask, axis=axis, **kwargs)
+        if np.any(mask):
+            res = _copyto(res, np.nan, mask)
+            warnings.warn("All-NaN axis encountered", RuntimeWarning,
+                          stacklevel=2)
+    return res
+
+
+def _nanmax_dispatcher(a, axis=None, out=None, keepdims=None,
+                       initial=None, where=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nanmax_dispatcher)
+def nanmax(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue,
+           where=np._NoValue):
+    """
+    Return the maximum of an array or maximum along an axis, ignoring any
+    NaNs.  When all-NaN slices are encountered a ``RuntimeWarning`` is
+    raised and NaN is returned for that slice.
+
+    Parameters
+    ----------
+    a : array_like
+        Array containing numbers whose maximum is desired. If `a` is not an
+        array, a conversion is attempted.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the maximum is computed. The default is to compute
+        the maximum of the flattened array.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  The default
+        is ``None``; if provided, it must have the same shape as the
+        expected output, but the type will be cast if necessary. See
+        :ref:`ufuncs-output-type` for more details.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+        If the value is anything but the default, then
+        `keepdims` will be passed through to the `max` method
+        of sub-classes of `ndarray`.  If the sub-classes methods
+        does not implement `keepdims` any exceptions will be raised.
+    initial : scalar, optional
+        The minimum value of an output element. Must be present to allow
+        computation on empty slice. See `~numpy.ufunc.reduce` for details.
+
+        .. versionadded:: 1.22.0
+    where : array_like of bool, optional
+        Elements to compare for the maximum. See `~numpy.ufunc.reduce`
+        for details.
+
+        .. versionadded:: 1.22.0
+
+    Returns
+    -------
+    nanmax : ndarray
+        An array with the same shape as `a`, with the specified axis removed.
+        If `a` is a 0-d array, or if axis is None, an ndarray scalar is
+        returned.  The same dtype as `a` is returned.
+
+    See Also
+    --------
+    nanmin :
+        The minimum value of an array along a given axis, ignoring any NaNs.
+    amax :
+        The maximum value of an array along a given axis, propagating any NaNs.
+    fmax :
+        Element-wise maximum of two arrays, ignoring any NaNs.
+    maximum :
+        Element-wise maximum of two arrays, propagating any NaNs.
+    isnan :
+        Shows which elements are Not a Number (NaN).
+    isfinite:
+        Shows which elements are neither NaN nor infinity.
+
+    amin, fmin, minimum
+
+    Notes
+    -----
+    NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
+    (IEEE 754). This means that Not a Number is not equivalent to infinity.
+    Positive infinity is treated as a very large number and negative
+    infinity is treated as a very small (i.e. negative) number.
+
+    If the input has a integer type the function is equivalent to np.max.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[1, 2], [3, np.nan]])
+    >>> np.nanmax(a)
+    3.0
+    >>> np.nanmax(a, axis=0)
+    array([3.,  2.])
+    >>> np.nanmax(a, axis=1)
+    array([2.,  3.])
+
+    When positive infinity and negative infinity are present:
+
+    >>> np.nanmax([1, 2, np.nan, -np.inf])
+    2.0
+    >>> np.nanmax([1, 2, np.nan, np.inf])
+    inf
+
+    """
+    kwargs = {}
+    if keepdims is not np._NoValue:
+        kwargs['keepdims'] = keepdims
+    if initial is not np._NoValue:
+        kwargs['initial'] = initial
+    if where is not np._NoValue:
+        kwargs['where'] = where
+
+    if type(a) is np.ndarray and a.dtype != np.object_:
+        # Fast, but not safe for subclasses of ndarray, or object arrays,
+        # which do not implement isnan (gh-9009), or fmax correctly (gh-8975)
+        res = np.fmax.reduce(a, axis=axis, out=out, **kwargs)
+        if np.isnan(res).any():
+            warnings.warn("All-NaN slice encountered", RuntimeWarning,
+                          stacklevel=2)
+    else:
+        # Slow, but safe for subclasses of ndarray
+        a, mask = _replace_nan(a, -np.inf)
+        res = np.amax(a, axis=axis, out=out, **kwargs)
+        if mask is None:
+            return res
+
+        # Check for all-NaN axis
+        kwargs.pop("initial", None)
+        mask = np.all(mask, axis=axis, **kwargs)
+        if np.any(mask):
+            res = _copyto(res, np.nan, mask)
+            warnings.warn("All-NaN axis encountered", RuntimeWarning,
+                          stacklevel=2)
+    return res
+
+
+def _nanargmin_dispatcher(a, axis=None, out=None, *, keepdims=None):
+    return (a,)
+
+
+@array_function_dispatch(_nanargmin_dispatcher)
+def nanargmin(a, axis=None, out=None, *, keepdims=np._NoValue):
+    """
+    Return the indices of the minimum values in the specified axis ignoring
+    NaNs. For all-NaN slices ``ValueError`` is raised. Warning: the results
+    cannot be trusted if a slice contains only NaNs and Infs.
+
+    Parameters
+    ----------
+    a : array_like
+        Input data.
+    axis : int, optional
+        Axis along which to operate.  By default flattened input is used.
+    out : array, optional
+        If provided, the result will be inserted into this array. It should
+        be of the appropriate shape and dtype.
+
+        .. versionadded:: 1.22.0
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the array.
+
+        .. versionadded:: 1.22.0
+
+    Returns
+    -------
+    index_array : ndarray
+        An array of indices or a single index value.
+
+    See Also
+    --------
+    argmin, nanargmax
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[np.nan, 4], [2, 3]])
+    >>> np.argmin(a)
+    0
+    >>> np.nanargmin(a)
+    2
+    >>> np.nanargmin(a, axis=0)
+    array([1, 1])
+    >>> np.nanargmin(a, axis=1)
+    array([1, 0])
+
+    """
+    a, mask = _replace_nan(a, np.inf)
+    if mask is not None and mask.size:
+        mask = np.all(mask, axis=axis)
+        if np.any(mask):
+            raise ValueError("All-NaN slice encountered")
+    res = np.argmin(a, axis=axis, out=out, keepdims=keepdims)
+    return res
+
+
+def _nanargmax_dispatcher(a, axis=None, out=None, *, keepdims=None):
+    return (a,)
+
+
+@array_function_dispatch(_nanargmax_dispatcher)
+def nanargmax(a, axis=None, out=None, *, keepdims=np._NoValue):
+    """
+    Return the indices of the maximum values in the specified axis ignoring
+    NaNs. For all-NaN slices ``ValueError`` is raised. Warning: the
+    results cannot be trusted if a slice contains only NaNs and -Infs.
+
+
+    Parameters
+    ----------
+    a : array_like
+        Input data.
+    axis : int, optional
+        Axis along which to operate.  By default flattened input is used.
+    out : array, optional
+        If provided, the result will be inserted into this array. It should
+        be of the appropriate shape and dtype.
+
+        .. versionadded:: 1.22.0
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the array.
+
+        .. versionadded:: 1.22.0
+
+    Returns
+    -------
+    index_array : ndarray
+        An array of indices or a single index value.
+
+    See Also
+    --------
+    argmax, nanargmin
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[np.nan, 4], [2, 3]])
+    >>> np.argmax(a)
+    0
+    >>> np.nanargmax(a)
+    1
+    >>> np.nanargmax(a, axis=0)
+    array([1, 0])
+    >>> np.nanargmax(a, axis=1)
+    array([1, 1])
+
+    """
+    a, mask = _replace_nan(a, -np.inf)
+    if mask is not None and mask.size:
+        mask = np.all(mask, axis=axis)
+        if np.any(mask):
+            raise ValueError("All-NaN slice encountered")
+    res = np.argmax(a, axis=axis, out=out, keepdims=keepdims)
+    return res
+
+
+def _nansum_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None,
+                       initial=None, where=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nansum_dispatcher)
+def nansum(a, axis=None, dtype=None, out=None, keepdims=np._NoValue,
+           initial=np._NoValue, where=np._NoValue):
+    """
+    Return the sum of array elements over a given axis treating Not a
+    Numbers (NaNs) as zero.
+
+    In NumPy versions <= 1.9.0 Nan is returned for slices that are all-NaN or
+    empty. In later versions zero is returned.
+
+    Parameters
+    ----------
+    a : array_like
+        Array containing numbers whose sum is desired. If `a` is not an
+        array, a conversion is attempted.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the sum is computed. The default is to compute the
+        sum of the flattened array.
+    dtype : data-type, optional
+        The type of the returned array and of the accumulator in which the
+        elements are summed.  By default, the dtype of `a` is used.  An
+        exception is when `a` has an integer type with less precision than
+        the platform (u)intp. In that case, the default will be either
+        (u)int32 or (u)int64 depending on whether the platform is 32 or 64
+        bits. For inexact inputs, dtype must be inexact.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  The default
+        is ``None``. If provided, it must have the same shape as the
+        expected output, but the type will be cast if necessary.  See
+        :ref:`ufuncs-output-type` for more details. The casting of NaN to integer
+        can yield unexpected results.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+
+        If the value is anything but the default, then
+        `keepdims` will be passed through to the `mean` or `sum` methods
+        of sub-classes of `ndarray`.  If the sub-classes methods
+        does not implement `keepdims` any exceptions will be raised.
+    initial : scalar, optional
+        Starting value for the sum. See `~numpy.ufunc.reduce` for details.
+
+        .. versionadded:: 1.22.0
+    where : array_like of bool, optional
+        Elements to include in the sum. See `~numpy.ufunc.reduce` for details.
+
+        .. versionadded:: 1.22.0
+
+    Returns
+    -------
+    nansum : ndarray.
+        A new array holding the result is returned unless `out` is
+        specified, in which it is returned. The result has the same
+        size as `a`, and the same shape as `a` if `axis` is not None
+        or `a` is a 1-d array.
+
+    See Also
+    --------
+    numpy.sum : Sum across array propagating NaNs.
+    isnan : Show which elements are NaN.
+    isfinite : Show which elements are not NaN or +/-inf.
+
+    Notes
+    -----
+    If both positive and negative infinity are present, the sum will be Not
+    A Number (NaN).
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.nansum(1)
+    1
+    >>> np.nansum([1])
+    1
+    >>> np.nansum([1, np.nan])
+    1.0
+    >>> a = np.array([[1, 1], [1, np.nan]])
+    >>> np.nansum(a)
+    3.0
+    >>> np.nansum(a, axis=0)
+    array([2.,  1.])
+    >>> np.nansum([1, np.nan, np.inf])
+    inf
+    >>> np.nansum([1, np.nan, -np.inf])
+    -inf
+    >>> from numpy.testing import suppress_warnings
+    >>> with np.errstate(invalid="ignore"):
+    ...     np.nansum([1, np.nan, np.inf, -np.inf]) # both +/- infinity present
+    np.float64(nan)
+
+    """
+    a, mask = _replace_nan(a, 0)
+    return np.sum(a, axis=axis, dtype=dtype, out=out, keepdims=keepdims,
+                  initial=initial, where=where)
+
+
+def _nanprod_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None,
+                        initial=None, where=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nanprod_dispatcher)
+def nanprod(a, axis=None, dtype=None, out=None, keepdims=np._NoValue,
+            initial=np._NoValue, where=np._NoValue):
+    """
+    Return the product of array elements over a given axis treating Not a
+    Numbers (NaNs) as ones.
+
+    One is returned for slices that are all-NaN or empty.
+
+    Parameters
+    ----------
+    a : array_like
+        Array containing numbers whose product is desired. If `a` is not an
+        array, a conversion is attempted.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the product is computed. The default is to compute
+        the product of the flattened array.
+    dtype : data-type, optional
+        The type of the returned array and of the accumulator in which the
+        elements are summed.  By default, the dtype of `a` is used.  An
+        exception is when `a` has an integer type with less precision than
+        the platform (u)intp. In that case, the default will be either
+        (u)int32 or (u)int64 depending on whether the platform is 32 or 64
+        bits. For inexact inputs, dtype must be inexact.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  The default
+        is ``None``. If provided, it must have the same shape as the
+        expected output, but the type will be cast if necessary. See
+        :ref:`ufuncs-output-type` for more details. The casting of NaN to integer
+        can yield unexpected results.
+    keepdims : bool, optional
+        If True, the axes which are reduced are left in the result as
+        dimensions with size one. With this option, the result will
+        broadcast correctly against the original `arr`.
+    initial : scalar, optional
+        The starting value for this product. See `~numpy.ufunc.reduce`
+        for details.
+
+        .. versionadded:: 1.22.0
+    where : array_like of bool, optional
+        Elements to include in the product. See `~numpy.ufunc.reduce`
+        for details.
+
+        .. versionadded:: 1.22.0
+
+    Returns
+    -------
+    nanprod : ndarray
+        A new array holding the result is returned unless `out` is
+        specified, in which case it is returned.
+
+    See Also
+    --------
+    numpy.prod : Product across array propagating NaNs.
+    isnan : Show which elements are NaN.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.nanprod(1)
+    1
+    >>> np.nanprod([1])
+    1
+    >>> np.nanprod([1, np.nan])
+    1.0
+    >>> a = np.array([[1, 2], [3, np.nan]])
+    >>> np.nanprod(a)
+    6.0
+    >>> np.nanprod(a, axis=0)
+    array([3., 2.])
+
+    """
+    a, mask = _replace_nan(a, 1)
+    return np.prod(a, axis=axis, dtype=dtype, out=out, keepdims=keepdims,
+                   initial=initial, where=where)
+
+
+def _nancumsum_dispatcher(a, axis=None, dtype=None, out=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nancumsum_dispatcher)
+def nancumsum(a, axis=None, dtype=None, out=None):
+    """
+    Return the cumulative sum of array elements over a given axis treating Not a
+    Numbers (NaNs) as zero.  The cumulative sum does not change when NaNs are
+    encountered and leading NaNs are replaced by zeros.
+
+    Zeros are returned for slices that are all-NaN or empty.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array.
+    axis : int, optional
+        Axis along which the cumulative sum is computed. The default
+        (None) is to compute the cumsum over the flattened array.
+    dtype : dtype, optional
+        Type of the returned array and of the accumulator in which the
+        elements are summed.  If `dtype` is not specified, it defaults
+        to the dtype of `a`, unless `a` has an integer dtype with a
+        precision less than that of the default platform integer.  In
+        that case, the default platform integer is used.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output
+        but the type will be cast if necessary. See :ref:`ufuncs-output-type` for
+        more details.
+
+    Returns
+    -------
+    nancumsum : ndarray.
+        A new array holding the result is returned unless `out` is
+        specified, in which it is returned. The result has the same
+        size as `a`, and the same shape as `a` if `axis` is not None
+        or `a` is a 1-d array.
+
+    See Also
+    --------
+    numpy.cumsum : Cumulative sum across array propagating NaNs.
+    isnan : Show which elements are NaN.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.nancumsum(1)
+    array([1])
+    >>> np.nancumsum([1])
+    array([1])
+    >>> np.nancumsum([1, np.nan])
+    array([1.,  1.])
+    >>> a = np.array([[1, 2], [3, np.nan]])
+    >>> np.nancumsum(a)
+    array([1.,  3.,  6.,  6.])
+    >>> np.nancumsum(a, axis=0)
+    array([[1.,  2.],
+           [4.,  2.]])
+    >>> np.nancumsum(a, axis=1)
+    array([[1.,  3.],
+           [3.,  3.]])
+
+    """
+    a, mask = _replace_nan(a, 0)
+    return np.cumsum(a, axis=axis, dtype=dtype, out=out)
+
+
+def _nancumprod_dispatcher(a, axis=None, dtype=None, out=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nancumprod_dispatcher)
+def nancumprod(a, axis=None, dtype=None, out=None):
+    """
+    Return the cumulative product of array elements over a given axis treating Not a
+    Numbers (NaNs) as one.  The cumulative product does not change when NaNs are
+    encountered and leading NaNs are replaced by ones.
+
+    Ones are returned for slices that are all-NaN or empty.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array.
+    axis : int, optional
+        Axis along which the cumulative product is computed.  By default
+        the input is flattened.
+    dtype : dtype, optional
+        Type of the returned array, as well as of the accumulator in which
+        the elements are multiplied.  If *dtype* is not specified, it
+        defaults to the dtype of `a`, unless `a` has an integer dtype with
+        a precision less than that of the default platform integer.  In
+        that case, the default platform integer is used instead.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output
+        but the type of the resulting values will be cast if necessary.
+
+    Returns
+    -------
+    nancumprod : ndarray
+        A new array holding the result is returned unless `out` is
+        specified, in which case it is returned.
+
+    See Also
+    --------
+    numpy.cumprod : Cumulative product across array propagating NaNs.
+    isnan : Show which elements are NaN.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.nancumprod(1)
+    array([1])
+    >>> np.nancumprod([1])
+    array([1])
+    >>> np.nancumprod([1, np.nan])
+    array([1.,  1.])
+    >>> a = np.array([[1, 2], [3, np.nan]])
+    >>> np.nancumprod(a)
+    array([1.,  2.,  6.,  6.])
+    >>> np.nancumprod(a, axis=0)
+    array([[1.,  2.],
+           [3.,  2.]])
+    >>> np.nancumprod(a, axis=1)
+    array([[1.,  2.],
+           [3.,  3.]])
+
+    """
+    a, mask = _replace_nan(a, 1)
+    return np.cumprod(a, axis=axis, dtype=dtype, out=out)
+
+
+def _nanmean_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None,
+                        *, where=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nanmean_dispatcher)
+def nanmean(a, axis=None, dtype=None, out=None, keepdims=np._NoValue,
+            *, where=np._NoValue):
+    """
+    Compute the arithmetic mean along the specified axis, ignoring NaNs.
+
+    Returns the average of the array elements.  The average is taken over
+    the flattened array by default, otherwise over the specified axis.
+    `float64` intermediate and return values are used for integer inputs.
+
+    For all-NaN slices, NaN is returned and a `RuntimeWarning` is raised.
+
+    Parameters
+    ----------
+    a : array_like
+        Array containing numbers whose mean is desired. If `a` is not an
+        array, a conversion is attempted.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the means are computed. The default is to compute
+        the mean of the flattened array.
+    dtype : data-type, optional
+        Type to use in computing the mean.  For integer inputs, the default
+        is `float64`; for inexact inputs, it is the same as the input
+        dtype.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  The default
+        is ``None``; if provided, it must have the same shape as the
+        expected output, but the type will be cast if necessary.
+        See :ref:`ufuncs-output-type` for more details.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+
+        If the value is anything but the default, then
+        `keepdims` will be passed through to the `mean` or `sum` methods
+        of sub-classes of `ndarray`.  If the sub-classes methods
+        does not implement `keepdims` any exceptions will be raised.
+    where : array_like of bool, optional
+        Elements to include in the mean. See `~numpy.ufunc.reduce` for details.
+
+        .. versionadded:: 1.22.0
+
+    Returns
+    -------
+    m : ndarray, see dtype parameter above
+        If `out=None`, returns a new array containing the mean values,
+        otherwise a reference to the output array is returned. Nan is
+        returned for slices that contain only NaNs.
+
+    See Also
+    --------
+    average : Weighted average
+    mean : Arithmetic mean taken while not ignoring NaNs
+    var, nanvar
+
+    Notes
+    -----
+    The arithmetic mean is the sum of the non-NaN elements along the axis
+    divided by the number of non-NaN elements.
+
+    Note that for floating-point input, the mean is computed using the same
+    precision the input has.  Depending on the input data, this can cause
+    the results to be inaccurate, especially for `float32`.  Specifying a
+    higher-precision accumulator using the `dtype` keyword can alleviate
+    this issue.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[1, np.nan], [3, 4]])
+    >>> np.nanmean(a)
+    2.6666666666666665
+    >>> np.nanmean(a, axis=0)
+    array([2.,  4.])
+    >>> np.nanmean(a, axis=1)
+    array([1.,  3.5]) # may vary
+
+    """
+    arr, mask = _replace_nan(a, 0)
+    if mask is None:
+        return np.mean(arr, axis=axis, dtype=dtype, out=out, keepdims=keepdims,
+                       where=where)
+
+    if dtype is not None:
+        dtype = np.dtype(dtype)
+    if dtype is not None and not issubclass(dtype.type, np.inexact):
+        raise TypeError("If a is inexact, then dtype must be inexact")
+    if out is not None and not issubclass(out.dtype.type, np.inexact):
+        raise TypeError("If a is inexact, then out must be inexact")
+
+    cnt = np.sum(~mask, axis=axis, dtype=np.intp, keepdims=keepdims,
+                 where=where)
+    tot = np.sum(arr, axis=axis, dtype=dtype, out=out, keepdims=keepdims,
+                 where=where)
+    avg = _divide_by_count(tot, cnt, out=out)
+
+    isbad = (cnt == 0)
+    if isbad.any():
+        warnings.warn("Mean of empty slice", RuntimeWarning, stacklevel=2)
+        # NaN is the only possible bad value, so no further
+        # action is needed to handle bad results.
+    return avg
+
+
+def _nanmedian1d(arr1d, overwrite_input=False):
+    """
+    Private function for rank 1 arrays. Compute the median ignoring NaNs.
+    See nanmedian for parameter usage
+    """
+    arr1d_parsed, _, overwrite_input = _remove_nan_1d(
+        arr1d, overwrite_input=overwrite_input,
+    )
+
+    if arr1d_parsed.size == 0:
+        # Ensure that a nan-esque scalar of the appropriate type (and unit)
+        # is returned for `timedelta64` and `complexfloating`
+        return arr1d[-1]
+
+    return np.median(arr1d_parsed, overwrite_input=overwrite_input)
+
+
+def _nanmedian(a, axis=None, out=None, overwrite_input=False):
+    """
+    Private function that doesn't support extended axis or keepdims.
+    These methods are extended to this function using _ureduce
+    See nanmedian for parameter usage
+
+    """
+    if axis is None or a.ndim == 1:
+        part = a.ravel()
+        if out is None:
+            return _nanmedian1d(part, overwrite_input)
+        else:
+            out[...] = _nanmedian1d(part, overwrite_input)
+            return out
+    else:
+        # for small medians use sort + indexing which is still faster than
+        # apply_along_axis
+        # benchmarked with shuffled (50, 50, x) containing a few NaN
+        if a.shape[axis] < 600:
+            return _nanmedian_small(a, axis, out, overwrite_input)
+        result = np.apply_along_axis(_nanmedian1d, axis, a, overwrite_input)
+        if out is not None:
+            out[...] = result
+        return result
+
+
+def _nanmedian_small(a, axis=None, out=None, overwrite_input=False):
+    """
+    sort + indexing median, faster for small medians along multiple
+    dimensions due to the high overhead of apply_along_axis
+
+    see nanmedian for parameter usage
+    """
+    a = np.ma.masked_array(a, np.isnan(a))
+    m = np.ma.median(a, axis=axis, overwrite_input=overwrite_input)
+    for i in range(np.count_nonzero(m.mask.ravel())):
+        warnings.warn("All-NaN slice encountered", RuntimeWarning,
+                      stacklevel=5)
+
+    fill_value = np.timedelta64("NaT") if m.dtype.kind == "m" else np.nan
+    if out is not None:
+        out[...] = m.filled(fill_value)
+        return out
+    return m.filled(fill_value)
+
+
+def _nanmedian_dispatcher(
+        a, axis=None, out=None, overwrite_input=None, keepdims=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nanmedian_dispatcher)
+def nanmedian(a, axis=None, out=None, overwrite_input=False, keepdims=np._NoValue):
+    """
+    Compute the median along the specified axis, while ignoring NaNs.
+
+    Returns the median of the array elements.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array or object that can be converted to an array.
+    axis : {int, sequence of int, None}, optional
+        Axis or axes along which the medians are computed. The default
+        is to compute the median along a flattened version of the array.
+        A sequence of axes is supported since version 1.9.0.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output,
+        but the type (of the output) will be cast if necessary.
+    overwrite_input : bool, optional
+       If True, then allow use of memory of input array `a` for
+       calculations. The input array will be modified by the call to
+       `median`. This will save memory when you do not need to preserve
+       the contents of the input array. Treat the input as undefined,
+       but it will probably be fully or partially sorted. Default is
+       False. If `overwrite_input` is ``True`` and `a` is not already an
+       `ndarray`, an error will be raised.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+
+        If this is anything but the default value it will be passed
+        through (in the special case of an empty array) to the
+        `mean` function of the underlying array.  If the array is
+        a sub-class and `mean` does not have the kwarg `keepdims` this
+        will raise a RuntimeError.
+
+    Returns
+    -------
+    median : ndarray
+        A new array holding the result. If the input contains integers
+        or floats smaller than ``float64``, then the output data-type is
+        ``np.float64``.  Otherwise, the data-type of the output is the
+        same as that of the input. If `out` is specified, that array is
+        returned instead.
+
+    See Also
+    --------
+    mean, median, percentile
+
+    Notes
+    -----
+    Given a vector ``V`` of length ``N``, the median of ``V`` is the
+    middle value of a sorted copy of ``V``, ``V_sorted`` - i.e.,
+    ``V_sorted[(N-1)/2]``, when ``N`` is odd and the average of the two
+    middle values of ``V_sorted`` when ``N`` is even.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[10.0, 7, 4], [3, 2, 1]])
+    >>> a[0, 1] = np.nan
+    >>> a
+    array([[10., nan,  4.],
+           [ 3.,  2.,  1.]])
+    >>> np.median(a)
+    np.float64(nan)
+    >>> np.nanmedian(a)
+    3.0
+    >>> np.nanmedian(a, axis=0)
+    array([6.5, 2. , 2.5])
+    >>> np.median(a, axis=1)
+    array([nan,  2.])
+    >>> b = a.copy()
+    >>> np.nanmedian(b, axis=1, overwrite_input=True)
+    array([7.,  2.])
+    >>> assert not np.all(a==b)
+    >>> b = a.copy()
+    >>> np.nanmedian(b, axis=None, overwrite_input=True)
+    3.0
+    >>> assert not np.all(a==b)
+
+    """
+    a = np.asanyarray(a)
+    # apply_along_axis in _nanmedian doesn't handle empty arrays well,
+    # so deal them upfront
+    if a.size == 0:
+        return np.nanmean(a, axis, out=out, keepdims=keepdims)
+
+    return fnb._ureduce(a, func=_nanmedian, keepdims=keepdims,
+                        axis=axis, out=out,
+                        overwrite_input=overwrite_input)
+
+
+def _nanpercentile_dispatcher(
+        a, q, axis=None, out=None, overwrite_input=None,
+        method=None, keepdims=None, *, weights=None, interpolation=None):
+    return (a, q, out, weights)
+
+
+@array_function_dispatch(_nanpercentile_dispatcher)
+def nanpercentile(
+        a,
+        q,
+        axis=None,
+        out=None,
+        overwrite_input=False,
+        method="linear",
+        keepdims=np._NoValue,
+        *,
+        weights=None,
+        interpolation=None,
+):
+    """
+    Compute the qth percentile of the data along the specified axis,
+    while ignoring nan values.
+
+    Returns the qth percentile(s) of the array elements.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array or object that can be converted to an array, containing
+        nan values to be ignored.
+    q : array_like of float
+        Percentile or sequence of percentiles to compute, which must be
+        between 0 and 100 inclusive.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the percentiles are computed. The default
+        is to compute the percentile(s) along a flattened version of the
+        array.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must have
+        the same shape and buffer length as the expected output, but the
+        type (of the output) will be cast if necessary.
+    overwrite_input : bool, optional
+        If True, then allow the input array `a` to be modified by
+        intermediate calculations, to save memory. In this case, the
+        contents of the input `a` after this function completes is
+        undefined.
+    method : str, optional
+        This parameter specifies the method to use for estimating the
+        percentile.  There are many different methods, some unique to NumPy.
+        See the notes for explanation.  The options sorted by their R type
+        as summarized in the H&F paper [1]_ are:
+
+        1. 'inverted_cdf'
+        2. 'averaged_inverted_cdf'
+        3. 'closest_observation'
+        4. 'interpolated_inverted_cdf'
+        5. 'hazen'
+        6. 'weibull'
+        7. 'linear'  (default)
+        8. 'median_unbiased'
+        9. 'normal_unbiased'
+
+        The first three methods are discontinuous.  NumPy further defines the
+        following discontinuous variations of the default 'linear' (7.) option:
+
+        * 'lower'
+        * 'higher',
+        * 'midpoint'
+        * 'nearest'
+
+        .. versionchanged:: 1.22.0
+            This argument was previously called "interpolation" and only
+            offered the "linear" default and last four options.
+
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left in
+        the result as dimensions with size one. With this option, the
+        result will broadcast correctly against the original array `a`.
+
+        If this is anything but the default value it will be passed
+        through (in the special case of an empty array) to the
+        `mean` function of the underlying array.  If the array is
+        a sub-class and `mean` does not have the kwarg `keepdims` this
+        will raise a RuntimeError.
+
+    weights : array_like, optional
+        An array of weights associated with the values in `a`. Each value in
+        `a` contributes to the percentile according to its associated weight.
+        The weights array can either be 1-D (in which case its length must be
+        the size of `a` along the given axis) or of the same shape as `a`.
+        If `weights=None`, then all data in `a` are assumed to have a
+        weight equal to one.
+        Only `method="inverted_cdf"` supports weights.
+
+        .. versionadded:: 2.0.0
+
+    interpolation : str, optional
+        Deprecated name for the method keyword argument.
+
+        .. deprecated:: 1.22.0
+
+    Returns
+    -------
+    percentile : scalar or ndarray
+        If `q` is a single percentile and `axis=None`, then the result
+        is a scalar. If multiple percentiles are given, first axis of
+        the result corresponds to the percentiles. The other axes are
+        the axes that remain after the reduction of `a`. If the input
+        contains integers or floats smaller than ``float64``, the output
+        data-type is ``float64``. Otherwise, the output data-type is the
+        same as that of the input. If `out` is specified, that array is
+        returned instead.
+
+    See Also
+    --------
+    nanmean
+    nanmedian : equivalent to ``nanpercentile(..., 50)``
+    percentile, median, mean
+    nanquantile : equivalent to nanpercentile, except q in range [0, 1].
+
+    Notes
+    -----
+    The behavior of `numpy.nanpercentile` with percentage `q` is that of
+    `numpy.quantile` with argument ``q/100`` (ignoring nan values).
+    For more information, please see `numpy.quantile`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[10., 7., 4.], [3., 2., 1.]])
+    >>> a[0][1] = np.nan
+    >>> a
+    array([[10.,  nan,   4.],
+          [ 3.,   2.,   1.]])
+    >>> np.percentile(a, 50)
+    np.float64(nan)
+    >>> np.nanpercentile(a, 50)
+    3.0
+    >>> np.nanpercentile(a, 50, axis=0)
+    array([6.5, 2. , 2.5])
+    >>> np.nanpercentile(a, 50, axis=1, keepdims=True)
+    array([[7.],
+           [2.]])
+    >>> m = np.nanpercentile(a, 50, axis=0)
+    >>> out = np.zeros_like(m)
+    >>> np.nanpercentile(a, 50, axis=0, out=out)
+    array([6.5, 2. , 2.5])
+    >>> m
+    array([6.5,  2. ,  2.5])
+
+    >>> b = a.copy()
+    >>> np.nanpercentile(b, 50, axis=1, overwrite_input=True)
+    array([7., 2.])
+    >>> assert not np.all(a==b)
+
+    References
+    ----------
+    .. [1] R. J. Hyndman and Y. Fan,
+       "Sample quantiles in statistical packages,"
+       The American Statistician, 50(4), pp. 361-365, 1996
+
+    """
+    if interpolation is not None:
+        method = fnb._check_interpolation_as_method(
+            method, interpolation, "nanpercentile")
+
+    a = np.asanyarray(a)
+    if a.dtype.kind == "c":
+        raise TypeError("a must be an array of real numbers")
+
+    q = np.true_divide(q, a.dtype.type(100) if a.dtype.kind == "f" else 100)
+    # undo any decay that the ufunc performed (see gh-13105)
+    q = np.asanyarray(q)
+    if not fnb._quantile_is_valid(q):
+        raise ValueError("Percentiles must be in the range [0, 100]")
+
+    if weights is not None:
+        if method != "inverted_cdf":
+            msg = ("Only method 'inverted_cdf' supports weights. "
+                   f"Got: {method}.")
+            raise ValueError(msg)
+        if axis is not None:
+            axis = _nx.normalize_axis_tuple(axis, a.ndim, argname="axis")
+        weights = _weights_are_valid(weights=weights, a=a, axis=axis)
+        if np.any(weights < 0):
+            raise ValueError("Weights must be non-negative.")
+
+    return _nanquantile_unchecked(
+        a, q, axis, out, overwrite_input, method, keepdims, weights)
+
+
+def _nanquantile_dispatcher(a, q, axis=None, out=None, overwrite_input=None,
+                            method=None, keepdims=None, *, weights=None,
+                            interpolation=None):
+    return (a, q, out, weights)
+
+
+@array_function_dispatch(_nanquantile_dispatcher)
+def nanquantile(
+        a,
+        q,
+        axis=None,
+        out=None,
+        overwrite_input=False,
+        method="linear",
+        keepdims=np._NoValue,
+        *,
+        weights=None,
+        interpolation=None,
+):
+    """
+    Compute the qth quantile of the data along the specified axis,
+    while ignoring nan values.
+    Returns the qth quantile(s) of the array elements.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array or object that can be converted to an array, containing
+        nan values to be ignored
+    q : array_like of float
+        Probability or sequence of probabilities for the quantiles to compute.
+        Values must be between 0 and 1 inclusive.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the quantiles are computed. The
+        default is to compute the quantile(s) along a flattened
+        version of the array.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output,
+        but the type (of the output) will be cast if necessary.
+    overwrite_input : bool, optional
+        If True, then allow the input array `a` to be modified by intermediate
+        calculations, to save memory. In this case, the contents of the input
+        `a` after this function completes is undefined.
+    method : str, optional
+        This parameter specifies the method to use for estimating the
+        quantile.  There are many different methods, some unique to NumPy.
+        See the notes for explanation.  The options sorted by their R type
+        as summarized in the H&F paper [1]_ are:
+
+        1. 'inverted_cdf'
+        2. 'averaged_inverted_cdf'
+        3. 'closest_observation'
+        4. 'interpolated_inverted_cdf'
+        5. 'hazen'
+        6. 'weibull'
+        7. 'linear'  (default)
+        8. 'median_unbiased'
+        9. 'normal_unbiased'
+
+        The first three methods are discontinuous.  NumPy further defines the
+        following discontinuous variations of the default 'linear' (7.) option:
+
+        * 'lower'
+        * 'higher',
+        * 'midpoint'
+        * 'nearest'
+
+        .. versionchanged:: 1.22.0
+            This argument was previously called "interpolation" and only
+            offered the "linear" default and last four options.
+
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left in
+        the result as dimensions with size one. With this option, the
+        result will broadcast correctly against the original array `a`.
+
+        If this is anything but the default value it will be passed
+        through (in the special case of an empty array) to the
+        `mean` function of the underlying array.  If the array is
+        a sub-class and `mean` does not have the kwarg `keepdims` this
+        will raise a RuntimeError.
+
+    weights : array_like, optional
+        An array of weights associated with the values in `a`. Each value in
+        `a` contributes to the quantile according to its associated weight.
+        The weights array can either be 1-D (in which case its length must be
+        the size of `a` along the given axis) or of the same shape as `a`.
+        If `weights=None`, then all data in `a` are assumed to have a
+        weight equal to one.
+        Only `method="inverted_cdf"` supports weights.
+
+        .. versionadded:: 2.0.0
+
+    interpolation : str, optional
+        Deprecated name for the method keyword argument.
+
+        .. deprecated:: 1.22.0
+
+    Returns
+    -------
+    quantile : scalar or ndarray
+        If `q` is a single probability and `axis=None`, then the result
+        is a scalar. If multiple probability levels are given, first axis of
+        the result corresponds to the quantiles. The other axes are
+        the axes that remain after the reduction of `a`. If the input
+        contains integers or floats smaller than ``float64``, the output
+        data-type is ``float64``. Otherwise, the output data-type is the
+        same as that of the input. If `out` is specified, that array is
+        returned instead.
+
+    See Also
+    --------
+    quantile
+    nanmean, nanmedian
+    nanmedian : equivalent to ``nanquantile(..., 0.5)``
+    nanpercentile : same as nanquantile, but with q in the range [0, 100].
+
+    Notes
+    -----
+    The behavior of `numpy.nanquantile` is the same as that of
+    `numpy.quantile` (ignoring nan values).
+    For more information, please see `numpy.quantile`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[10., 7., 4.], [3., 2., 1.]])
+    >>> a[0][1] = np.nan
+    >>> a
+    array([[10.,  nan,   4.],
+          [ 3.,   2.,   1.]])
+    >>> np.quantile(a, 0.5)
+    np.float64(nan)
+    >>> np.nanquantile(a, 0.5)
+    3.0
+    >>> np.nanquantile(a, 0.5, axis=0)
+    array([6.5, 2. , 2.5])
+    >>> np.nanquantile(a, 0.5, axis=1, keepdims=True)
+    array([[7.],
+           [2.]])
+    >>> m = np.nanquantile(a, 0.5, axis=0)
+    >>> out = np.zeros_like(m)
+    >>> np.nanquantile(a, 0.5, axis=0, out=out)
+    array([6.5, 2. , 2.5])
+    >>> m
+    array([6.5,  2. ,  2.5])
+    >>> b = a.copy()
+    >>> np.nanquantile(b, 0.5, axis=1, overwrite_input=True)
+    array([7., 2.])
+    >>> assert not np.all(a==b)
+
+    References
+    ----------
+    .. [1] R. J. Hyndman and Y. Fan,
+       "Sample quantiles in statistical packages,"
+       The American Statistician, 50(4), pp. 361-365, 1996
+
+    """
+
+    if interpolation is not None:
+        method = fnb._check_interpolation_as_method(
+            method, interpolation, "nanquantile")
+
+    a = np.asanyarray(a)
+    if a.dtype.kind == "c":
+        raise TypeError("a must be an array of real numbers")
+
+    # Use dtype of array if possible (e.g., if q is a python int or float).
+    if isinstance(q, (int, float)) and a.dtype.kind == "f":
+        q = np.asanyarray(q, dtype=a.dtype)
+    else:
+        q = np.asanyarray(q)
+
+    if not fnb._quantile_is_valid(q):
+        raise ValueError("Quantiles must be in the range [0, 1]")
+
+    if weights is not None:
+        if method != "inverted_cdf":
+            msg = ("Only method 'inverted_cdf' supports weights. "
+                   f"Got: {method}.")
+            raise ValueError(msg)
+        if axis is not None:
+            axis = _nx.normalize_axis_tuple(axis, a.ndim, argname="axis")
+        weights = _weights_are_valid(weights=weights, a=a, axis=axis)
+        if np.any(weights < 0):
+            raise ValueError("Weights must be non-negative.")
+
+    return _nanquantile_unchecked(
+        a, q, axis, out, overwrite_input, method, keepdims, weights)
+
+
+def _nanquantile_unchecked(
+        a,
+        q,
+        axis=None,
+        out=None,
+        overwrite_input=False,
+        method="linear",
+        keepdims=np._NoValue,
+        weights=None,
+):
+    """Assumes that q is in [0, 1], and is an ndarray"""
+    # apply_along_axis in _nanpercentile doesn't handle empty arrays well,
+    # so deal them upfront
+    if a.size == 0:
+        return np.nanmean(a, axis, out=out, keepdims=keepdims)
+    return fnb._ureduce(a,
+                        func=_nanquantile_ureduce_func,
+                        q=q,
+                        weights=weights,
+                        keepdims=keepdims,
+                        axis=axis,
+                        out=out,
+                        overwrite_input=overwrite_input,
+                        method=method)
+
+
+def _nanquantile_ureduce_func(
+        a: np.array,
+        q: np.array,
+        weights: np.array,
+        axis: int | None = None,
+        out=None,
+        overwrite_input: bool = False,
+        method="linear",
+):
+    """
+    Private function that doesn't support extended axis or keepdims.
+    These methods are extended to this function using _ureduce
+    See nanpercentile for parameter usage
+    """
+    if axis is None or a.ndim == 1:
+        part = a.ravel()
+        wgt = None if weights is None else weights.ravel()
+        result = _nanquantile_1d(part, q, overwrite_input, method, weights=wgt)
+    else:
+        # Note that this code could try to fill in `out` right away
+        if weights is None:
+            result = np.apply_along_axis(_nanquantile_1d, axis, a, q,
+                                         overwrite_input, method, weights)
+            # apply_along_axis fills in collapsed axis with results.
+            # Move those axes to the beginning to match percentile's
+            # convention.
+            if q.ndim != 0:
+                from_ax = [axis + i for i in range(q.ndim)]
+                result = np.moveaxis(result, from_ax, list(range(q.ndim)))
+        else:
+            # We need to apply along axis over 2 arrays, a and weights.
+            # move operation axes to end for simplicity:
+            a = np.moveaxis(a, axis, -1)
+            if weights is not None:
+                weights = np.moveaxis(weights, axis, -1)
+            if out is not None:
+                result = out
+            else:
+                # weights are limited to `inverted_cdf` so the result dtype
+                # is known to be identical to that of `a` here:
+                result = np.empty_like(a, shape=q.shape + a.shape[:-1])
+
+            for ii in np.ndindex(a.shape[:-1]):
+                result[(...,) + ii] = _nanquantile_1d(
+                        a[ii], q, weights=weights[ii],
+                        overwrite_input=overwrite_input, method=method,
+                )
+            # This path dealt with `out` already...
+            return result
+
+    if out is not None:
+        out[...] = result
+    return result
+
+
+def _nanquantile_1d(
+    arr1d, q, overwrite_input=False, method="linear", weights=None,
+):
+    """
+    Private function for rank 1 arrays. Compute quantile ignoring NaNs.
+    See nanpercentile for parameter usage
+    """
+    # TODO: What to do when arr1d = [1, np.nan] and weights = [0, 1]?
+    arr1d, weights, overwrite_input = _remove_nan_1d(arr1d,
+        second_arr1d=weights, overwrite_input=overwrite_input)
+    if arr1d.size == 0:
+        # convert to scalar
+        return np.full(q.shape, np.nan, dtype=arr1d.dtype)[()]
+
+    return fnb._quantile_unchecked(
+        arr1d,
+        q,
+        overwrite_input=overwrite_input,
+        method=method,
+        weights=weights,
+    )
+
+
+def _nanvar_dispatcher(a, axis=None, dtype=None, out=None, ddof=None,
+                       keepdims=None, *, where=None, mean=None,
+                       correction=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nanvar_dispatcher)
+def nanvar(a, axis=None, dtype=None, out=None, ddof=0, keepdims=np._NoValue,
+           *, where=np._NoValue, mean=np._NoValue, correction=np._NoValue):
+    """
+    Compute the variance along the specified axis, while ignoring NaNs.
+
+    Returns the variance of the array elements, a measure of the spread of
+    a distribution.  The variance is computed for the flattened array by
+    default, otherwise over the specified axis.
+
+    For all-NaN slices or slices with zero degrees of freedom, NaN is
+    returned and a `RuntimeWarning` is raised.
+
+    Parameters
+    ----------
+    a : array_like
+        Array containing numbers whose variance is desired.  If `a` is not an
+        array, a conversion is attempted.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the variance is computed.  The default is to compute
+        the variance of the flattened array.
+    dtype : data-type, optional
+        Type to use in computing the variance.  For arrays of integer type
+        the default is `float64`; for arrays of float types it is the same as
+        the array type.
+    out : ndarray, optional
+        Alternate output array in which to place the result.  It must have
+        the same shape as the expected output, but the type is cast if
+        necessary.
+    ddof : {int, float}, optional
+        "Delta Degrees of Freedom": the divisor used in the calculation is
+        ``N - ddof``, where ``N`` represents the number of non-NaN
+        elements. By default `ddof` is zero.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+    where : array_like of bool, optional
+        Elements to include in the variance. See `~numpy.ufunc.reduce` for
+        details.
+
+        .. versionadded:: 1.22.0
+
+    mean : array_like, optional
+        Provide the mean to prevent its recalculation. The mean should have
+        a shape as if it was calculated with ``keepdims=True``.
+        The axis for the calculation of the mean should be the same as used in
+        the call to this var function.
+
+        .. versionadded:: 2.0.0
+
+    correction : {int, float}, optional
+        Array API compatible name for the ``ddof`` parameter. Only one of them
+        can be provided at the same time.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    variance : ndarray, see dtype parameter above
+        If `out` is None, return a new array containing the variance,
+        otherwise return a reference to the output array. If ddof is >= the
+        number of non-NaN elements in a slice or the slice contains only
+        NaNs, then the result for that slice is NaN.
+
+    See Also
+    --------
+    std : Standard deviation
+    mean : Average
+    var : Variance while not ignoring NaNs
+    nanstd, nanmean
+    :ref:`ufuncs-output-type`
+
+    Notes
+    -----
+    The variance is the average of the squared deviations from the mean,
+    i.e.,  ``var = mean(abs(x - x.mean())**2)``.
+
+    The mean is normally calculated as ``x.sum() / N``, where ``N = len(x)``.
+    If, however, `ddof` is specified, the divisor ``N - ddof`` is used
+    instead.  In standard statistical practice, ``ddof=1`` provides an
+    unbiased estimator of the variance of a hypothetical infinite
+    population.  ``ddof=0`` provides a maximum likelihood estimate of the
+    variance for normally distributed variables.
+
+    Note that for complex numbers, the absolute value is taken before
+    squaring, so that the result is always real and nonnegative.
+
+    For floating-point input, the variance is computed using the same
+    precision the input has.  Depending on the input data, this can cause
+    the results to be inaccurate, especially for `float32` (see example
+    below).  Specifying a higher-accuracy accumulator using the ``dtype``
+    keyword can alleviate this issue.
+
+    For this function to work on sub-classes of ndarray, they must define
+    `sum` with the kwarg `keepdims`
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[1, np.nan], [3, 4]])
+    >>> np.nanvar(a)
+    1.5555555555555554
+    >>> np.nanvar(a, axis=0)
+    array([1.,  0.])
+    >>> np.nanvar(a, axis=1)
+    array([0.,  0.25])  # may vary
+
+    """
+    arr, mask = _replace_nan(a, 0)
+    if mask is None:
+        return np.var(arr, axis=axis, dtype=dtype, out=out, ddof=ddof,
+                      keepdims=keepdims, where=where, mean=mean,
+                      correction=correction)
+
+    if dtype is not None:
+        dtype = np.dtype(dtype)
+    if dtype is not None and not issubclass(dtype.type, np.inexact):
+        raise TypeError("If a is inexact, then dtype must be inexact")
+    if out is not None and not issubclass(out.dtype.type, np.inexact):
+        raise TypeError("If a is inexact, then out must be inexact")
+
+    if correction != np._NoValue:
+        if ddof != 0:
+            raise ValueError(
+                "ddof and correction can't be provided simultaneously."
+            )
+        else:
+            ddof = correction
+
+    # Compute mean
+    if type(arr) is np.matrix:
+        _keepdims = np._NoValue
+    else:
+        _keepdims = True
+
+    cnt = np.sum(~mask, axis=axis, dtype=np.intp, keepdims=_keepdims,
+                     where=where)
+
+    if mean is not np._NoValue:
+        avg = mean
+    else:
+        # we need to special case matrix for reverse compatibility
+        # in order for this to work, these sums need to be called with
+        # keepdims=True, however matrix now raises an error in this case, but
+        # the reason that it drops the keepdims kwarg is to force keepdims=True
+        # so this used to work by serendipity.
+        avg = np.sum(arr, axis=axis, dtype=dtype,
+                     keepdims=_keepdims, where=where)
+        avg = _divide_by_count(avg, cnt)
+
+    # Compute squared deviation from mean.
+    np.subtract(arr, avg, out=arr, casting='unsafe', where=where)
+    arr = _copyto(arr, 0, mask)
+    if issubclass(arr.dtype.type, np.complexfloating):
+        sqr = np.multiply(arr, arr.conj(), out=arr, where=where).real
+    else:
+        sqr = np.multiply(arr, arr, out=arr, where=where)
+
+    # Compute variance.
+    var = np.sum(sqr, axis=axis, dtype=dtype, out=out, keepdims=keepdims,
+                 where=where)
+
+    # Precaution against reduced object arrays
+    try:
+        var_ndim = var.ndim
+    except AttributeError:
+        var_ndim = np.ndim(var)
+    if var_ndim < cnt.ndim:
+        # Subclasses of ndarray may ignore keepdims, so check here.
+        cnt = cnt.squeeze(axis)
+    dof = cnt - ddof
+    var = _divide_by_count(var, dof)
+
+    isbad = (dof <= 0)
+    if np.any(isbad):
+        warnings.warn("Degrees of freedom <= 0 for slice.", RuntimeWarning,
+                      stacklevel=2)
+        # NaN, inf, or negative numbers are all possible bad
+        # values, so explicitly replace them with NaN.
+        var = _copyto(var, np.nan, isbad)
+    return var
+
+
+def _nanstd_dispatcher(a, axis=None, dtype=None, out=None, ddof=None,
+                       keepdims=None, *, where=None, mean=None,
+                       correction=None):
+    return (a, out)
+
+
+@array_function_dispatch(_nanstd_dispatcher)
+def nanstd(a, axis=None, dtype=None, out=None, ddof=0, keepdims=np._NoValue,
+           *, where=np._NoValue, mean=np._NoValue, correction=np._NoValue):
+    """
+    Compute the standard deviation along the specified axis, while
+    ignoring NaNs.
+
+    Returns the standard deviation, a measure of the spread of a
+    distribution, of the non-NaN array elements. The standard deviation is
+    computed for the flattened array by default, otherwise over the
+    specified axis.
+
+    For all-NaN slices or slices with zero degrees of freedom, NaN is
+    returned and a `RuntimeWarning` is raised.
+
+    Parameters
+    ----------
+    a : array_like
+        Calculate the standard deviation of the non-NaN values.
+    axis : {int, tuple of int, None}, optional
+        Axis or axes along which the standard deviation is computed. The default is
+        to compute the standard deviation of the flattened array.
+    dtype : dtype, optional
+        Type to use in computing the standard deviation. For arrays of
+        integer type the default is float64, for arrays of float types it
+        is the same as the array type.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must have
+        the same shape as the expected output but the type (of the
+        calculated values) will be cast if necessary.
+    ddof : {int, float}, optional
+        Means Delta Degrees of Freedom.  The divisor used in calculations
+        is ``N - ddof``, where ``N`` represents the number of non-NaN
+        elements.  By default `ddof` is zero.
+
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+
+        If this value is anything but the default it is passed through
+        as-is to the relevant functions of the sub-classes.  If these
+        functions do not have a `keepdims` kwarg, a RuntimeError will
+        be raised.
+    where : array_like of bool, optional
+        Elements to include in the standard deviation.
+        See `~numpy.ufunc.reduce` for details.
+
+        .. versionadded:: 1.22.0
+
+    mean : array_like, optional
+        Provide the mean to prevent its recalculation. The mean should have
+        a shape as if it was calculated with ``keepdims=True``.
+        The axis for the calculation of the mean should be the same as used in
+        the call to this std function.
+
+        .. versionadded:: 2.0.0
+
+    correction : {int, float}, optional
+        Array API compatible name for the ``ddof`` parameter. Only one of them
+        can be provided at the same time.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    standard_deviation : ndarray, see dtype parameter above.
+        If `out` is None, return a new array containing the standard
+        deviation, otherwise return a reference to the output array. If
+        ddof is >= the number of non-NaN elements in a slice or the slice
+        contains only NaNs, then the result for that slice is NaN.
+
+    See Also
+    --------
+    var, mean, std
+    nanvar, nanmean
+    :ref:`ufuncs-output-type`
+
+    Notes
+    -----
+    The standard deviation is the square root of the average of the squared
+    deviations from the mean: ``std = sqrt(mean(abs(x - x.mean())**2))``.
+
+    The average squared deviation is normally calculated as
+    ``x.sum() / N``, where ``N = len(x)``.  If, however, `ddof` is
+    specified, the divisor ``N - ddof`` is used instead. In standard
+    statistical practice, ``ddof=1`` provides an unbiased estimator of the
+    variance of the infinite population. ``ddof=0`` provides a maximum
+    likelihood estimate of the variance for normally distributed variables.
+    The standard deviation computed in this function is the square root of
+    the estimated variance, so even with ``ddof=1``, it will not be an
+    unbiased estimate of the standard deviation per se.
+
+    Note that, for complex numbers, `std` takes the absolute value before
+    squaring, so that the result is always real and nonnegative.
+
+    For floating-point input, the *std* is computed using the same
+    precision the input has. Depending on the input data, this can cause
+    the results to be inaccurate, especially for float32 (see example
+    below).  Specifying a higher-accuracy accumulator using the `dtype`
+    keyword can alleviate this issue.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([[1, np.nan], [3, 4]])
+    >>> np.nanstd(a)
+    1.247219128924647
+    >>> np.nanstd(a, axis=0)
+    array([1., 0.])
+    >>> np.nanstd(a, axis=1)
+    array([0.,  0.5]) # may vary
+
+    """
+    var = nanvar(a, axis=axis, dtype=dtype, out=out, ddof=ddof,
+                 keepdims=keepdims, where=where, mean=mean,
+                 correction=correction)
+    if isinstance(var, np.ndarray):
+        std = np.sqrt(var, out=var)
+    elif hasattr(var, 'dtype'):
+        std = var.dtype.type(np.sqrt(var))
+    else:
+        std = np.sqrt(var)
+    return std
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_nanfunctions_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_nanfunctions_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..081b53d8ea44b53a5ee1470ab2725e6b8fc7274a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_nanfunctions_impl.pyi
@@ -0,0 +1,53 @@
+from numpy._core.fromnumeric import (
+    amin,
+    amax,
+    argmin,
+    argmax,
+    sum,
+    prod,
+    cumsum,
+    cumprod,
+    mean,
+    var,
+    std
+)
+
+from numpy.lib._function_base_impl import (
+    median,
+    percentile,
+    quantile,
+)
+
+__all__ = [
+    "nansum",
+    "nanmax",
+    "nanmin",
+    "nanargmax",
+    "nanargmin",
+    "nanmean",
+    "nanmedian",
+    "nanpercentile",
+    "nanvar",
+    "nanstd",
+    "nanprod",
+    "nancumsum",
+    "nancumprod",
+    "nanquantile",
+]
+
+# NOTE: In reality these functions are not aliases but distinct functions
+# with identical signatures.
+nanmin = amin
+nanmax = amax
+nanargmin = argmin
+nanargmax = argmax
+nansum = sum
+nanprod = prod
+nancumsum = cumsum
+nancumprod = cumprod
+nanmean = mean
+nanvar = var
+nanstd = std
+nanmedian = median
+nanpercentile = percentile
+nanquantile = quantile
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_npyio_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_npyio_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..4dc3a4b9b7e2e117b033b103c8ebaf165a1b160c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_npyio_impl.py
@@ -0,0 +1,2595 @@
+"""
+IO related functions.
+"""
+import os
+import re
+import functools
+import itertools
+import warnings
+import weakref
+import contextlib
+import operator
+from operator import itemgetter
+from collections.abc import Mapping
+import pickle
+
+import numpy as np
+from . import format
+from ._datasource import DataSource
+from numpy._core import overrides
+from numpy._core.multiarray import packbits, unpackbits
+from numpy._core._multiarray_umath import _load_from_filelike
+from numpy._core.overrides import finalize_array_function_like, set_module
+from ._iotools import (
+    LineSplitter, NameValidator, StringConverter, ConverterError,
+    ConverterLockError, ConversionWarning, _is_string_like,
+    has_nested_fields, flatten_dtype, easy_dtype, _decode_line
+    )
+from numpy._utils import asunicode, asbytes
+
+
+__all__ = [
+    'savetxt', 'loadtxt', 'genfromtxt', 'load', 'save', 'savez',
+    'savez_compressed', 'packbits', 'unpackbits', 'fromregex'
+    ]
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+class BagObj:
+    """
+    BagObj(obj)
+
+    Convert attribute look-ups to getitems on the object passed in.
+
+    Parameters
+    ----------
+    obj : class instance
+        Object on which attribute look-up is performed.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib._npyio_impl import BagObj as BO
+    >>> class BagDemo:
+    ...     def __getitem__(self, key): # An instance of BagObj(BagDemo)
+    ...                                 # will call this method when any
+    ...                                 # attribute look-up is required
+    ...         result = "Doesn't matter what you want, "
+    ...         return result + "you're gonna get this"
+    ...
+    >>> demo_obj = BagDemo()
+    >>> bagobj = BO(demo_obj)
+    >>> bagobj.hello_there
+    "Doesn't matter what you want, you're gonna get this"
+    >>> bagobj.I_can_be_anything
+    "Doesn't matter what you want, you're gonna get this"
+
+    """
+
+    def __init__(self, obj):
+        # Use weakref to make NpzFile objects collectable by refcount
+        self._obj = weakref.proxy(obj)
+
+    def __getattribute__(self, key):
+        try:
+            return object.__getattribute__(self, '_obj')[key]
+        except KeyError:
+            raise AttributeError(key) from None
+
+    def __dir__(self):
+        """
+        Enables dir(bagobj) to list the files in an NpzFile.
+
+        This also enables tab-completion in an interpreter or IPython.
+        """
+        return list(object.__getattribute__(self, '_obj').keys())
+
+
+def zipfile_factory(file, *args, **kwargs):
+    """
+    Create a ZipFile.
+
+    Allows for Zip64, and the `file` argument can accept file, str, or
+    pathlib.Path objects. `args` and `kwargs` are passed to the zipfile.ZipFile
+    constructor.
+    """
+    if not hasattr(file, 'read'):
+        file = os.fspath(file)
+    import zipfile
+    kwargs['allowZip64'] = True
+    return zipfile.ZipFile(file, *args, **kwargs)
+
+
+@set_module('numpy.lib.npyio')
+class NpzFile(Mapping):
+    """
+    NpzFile(fid)
+
+    A dictionary-like object with lazy-loading of files in the zipped
+    archive provided on construction.
+
+    `NpzFile` is used to load files in the NumPy ``.npz`` data archive
+    format. It assumes that files in the archive have a ``.npy`` extension,
+    other files are ignored.
+
+    The arrays and file strings are lazily loaded on either
+    getitem access using ``obj['key']`` or attribute lookup using
+    ``obj.f.key``. A list of all files (without ``.npy`` extensions) can
+    be obtained with ``obj.files`` and the ZipFile object itself using
+    ``obj.zip``.
+
+    Attributes
+    ----------
+    files : list of str
+        List of all files in the archive with a ``.npy`` extension.
+    zip : ZipFile instance
+        The ZipFile object initialized with the zipped archive.
+    f : BagObj instance
+        An object on which attribute can be performed as an alternative
+        to getitem access on the `NpzFile` instance itself.
+    allow_pickle : bool, optional
+        Allow loading pickled data. Default: False
+    pickle_kwargs : dict, optional
+        Additional keyword arguments to pass on to pickle.load.
+        These are only useful when loading object arrays saved on
+        Python 2 when using Python 3.
+    max_header_size : int, optional
+        Maximum allowed size of the header.  Large headers may not be safe
+        to load securely and thus require explicitly passing a larger value.
+        See :py:func:`ast.literal_eval()` for details.
+        This option is ignored when `allow_pickle` is passed.  In that case
+        the file is by definition trusted and the limit is unnecessary.
+
+    Parameters
+    ----------
+    fid : file, str, or pathlib.Path
+        The zipped archive to open. This is either a file-like object
+        or a string containing the path to the archive.
+    own_fid : bool, optional
+        Whether NpzFile should close the file handle.
+        Requires that `fid` is a file-like object.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from tempfile import TemporaryFile
+    >>> outfile = TemporaryFile()
+    >>> x = np.arange(10)
+    >>> y = np.sin(x)
+    >>> np.savez(outfile, x=x, y=y)
+    >>> _ = outfile.seek(0)
+
+    >>> npz = np.load(outfile)
+    >>> isinstance(npz, np.lib.npyio.NpzFile)
+    True
+    >>> npz
+    NpzFile 'object' with keys: x, y
+    >>> sorted(npz.files)
+    ['x', 'y']
+    >>> npz['x']  # getitem access
+    array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
+    >>> npz.f.x  # attribute lookup
+    array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
+
+    """
+    # Make __exit__ safe if zipfile_factory raises an exception
+    zip = None
+    fid = None
+    _MAX_REPR_ARRAY_COUNT = 5
+
+    def __init__(self, fid, own_fid=False, allow_pickle=False,
+                 pickle_kwargs=None, *,
+                 max_header_size=format._MAX_HEADER_SIZE):
+        # Import is postponed to here since zipfile depends on gzip, an
+        # optional component of the so-called standard library.
+        _zip = zipfile_factory(fid)
+        self._files = _zip.namelist()
+        self.files = []
+        self.allow_pickle = allow_pickle
+        self.max_header_size = max_header_size
+        self.pickle_kwargs = pickle_kwargs
+        for x in self._files:
+            if x.endswith('.npy'):
+                self.files.append(x[:-4])
+            else:
+                self.files.append(x)
+        self.zip = _zip
+        self.f = BagObj(self)
+        if own_fid:
+            self.fid = fid
+
+    def __enter__(self):
+        return self
+
+    def __exit__(self, exc_type, exc_value, traceback):
+        self.close()
+
+    def close(self):
+        """
+        Close the file.
+
+        """
+        if self.zip is not None:
+            self.zip.close()
+            self.zip = None
+        if self.fid is not None:
+            self.fid.close()
+            self.fid = None
+        self.f = None  # break reference cycle
+
+    def __del__(self):
+        self.close()
+
+    # Implement the Mapping ABC
+    def __iter__(self):
+        return iter(self.files)
+
+    def __len__(self):
+        return len(self.files)
+
+    def __getitem__(self, key):
+        # FIXME: This seems like it will copy strings around
+        #   more than is strictly necessary.  The zipfile
+        #   will read the string and then
+        #   the format.read_array will copy the string
+        #   to another place in memory.
+        #   It would be better if the zipfile could read
+        #   (or at least uncompress) the data
+        #   directly into the array memory.
+        member = False
+        if key in self._files:
+            member = True
+        elif key in self.files:
+            member = True
+            key += '.npy'
+        if member:
+            bytes = self.zip.open(key)
+            magic = bytes.read(len(format.MAGIC_PREFIX))
+            bytes.close()
+            if magic == format.MAGIC_PREFIX:
+                bytes = self.zip.open(key)
+                return format.read_array(bytes,
+                                         allow_pickle=self.allow_pickle,
+                                         pickle_kwargs=self.pickle_kwargs,
+                                         max_header_size=self.max_header_size)
+            else:
+                return self.zip.read(key)
+        else:
+            raise KeyError(f"{key} is not a file in the archive")
+
+    def __contains__(self, key):
+        return (key in self._files or key in self.files)
+
+    def __repr__(self):
+        # Get filename or default to `object`
+        if isinstance(self.fid, str):
+            filename = self.fid
+        else:
+            filename = getattr(self.fid, "name", "object")
+
+        # Get the name of arrays
+        array_names = ', '.join(self.files[:self._MAX_REPR_ARRAY_COUNT])
+        if len(self.files) > self._MAX_REPR_ARRAY_COUNT:
+            array_names += "..."
+        return f"NpzFile {filename!r} with keys: {array_names}"
+
+    # Work around problems with the docstrings in the Mapping methods
+    # They contain a `->`, which confuses the type annotation interpretations
+    # of sphinx-docs. See gh-25964
+
+    def get(self, key, default=None, /):
+        """
+        D.get(k,[,d]) returns D[k] if k in D, else d.  d defaults to None.
+        """
+        return Mapping.get(self, key, default)
+
+    def items(self):
+        """
+        D.items() returns a set-like object providing a view on the items
+        """
+        return Mapping.items(self)
+
+    def keys(self):
+        """
+        D.keys() returns a set-like object providing a view on the keys
+        """
+        return Mapping.keys(self)
+
+    def values(self):
+        """
+        D.values() returns a set-like object providing a view on the values
+        """
+        return Mapping.values(self)
+
+
+@set_module('numpy')
+def load(file, mmap_mode=None, allow_pickle=False, fix_imports=True,
+         encoding='ASCII', *, max_header_size=format._MAX_HEADER_SIZE):
+    """
+    Load arrays or pickled objects from ``.npy``, ``.npz`` or pickled files.
+
+    .. warning:: Loading files that contain object arrays uses the ``pickle``
+                 module, which is not secure against erroneous or maliciously
+                 constructed data. Consider passing ``allow_pickle=False`` to
+                 load data that is known not to contain object arrays for the
+                 safer handling of untrusted sources.
+
+    Parameters
+    ----------
+    file : file-like object, string, or pathlib.Path
+        The file to read. File-like objects must support the
+        ``seek()`` and ``read()`` methods and must always
+        be opened in binary mode.  Pickled files require that the
+        file-like object support the ``readline()`` method as well.
+    mmap_mode : {None, 'r+', 'r', 'w+', 'c'}, optional
+        If not None, then memory-map the file, using the given mode (see
+        `numpy.memmap` for a detailed description of the modes).  A
+        memory-mapped array is kept on disk. However, it can be accessed
+        and sliced like any ndarray.  Memory mapping is especially useful
+        for accessing small fragments of large files without reading the
+        entire file into memory.
+    allow_pickle : bool, optional
+        Allow loading pickled object arrays stored in npy files. Reasons for
+        disallowing pickles include security, as loading pickled data can
+        execute arbitrary code. If pickles are disallowed, loading object
+        arrays will fail. Default: False
+    fix_imports : bool, optional
+        Only useful when loading Python 2 generated pickled files on Python 3,
+        which includes npy/npz files containing object arrays. If `fix_imports`
+        is True, pickle will try to map the old Python 2 names to the new names
+        used in Python 3.
+    encoding : str, optional
+        What encoding to use when reading Python 2 strings. Only useful when
+        loading Python 2 generated pickled files in Python 3, which includes
+        npy/npz files containing object arrays. Values other than 'latin1',
+        'ASCII', and 'bytes' are not allowed, as they can corrupt numerical
+        data. Default: 'ASCII'
+    max_header_size : int, optional
+        Maximum allowed size of the header.  Large headers may not be safe
+        to load securely and thus require explicitly passing a larger value.
+        See :py:func:`ast.literal_eval()` for details.
+        This option is ignored when `allow_pickle` is passed.  In that case
+        the file is by definition trusted and the limit is unnecessary.
+
+    Returns
+    -------
+    result : array, tuple, dict, etc.
+        Data stored in the file. For ``.npz`` files, the returned instance
+        of NpzFile class must be closed to avoid leaking file descriptors.
+
+    Raises
+    ------
+    OSError
+        If the input file does not exist or cannot be read.
+    UnpicklingError
+        If ``allow_pickle=True``, but the file cannot be loaded as a pickle.
+    ValueError
+        The file contains an object array, but ``allow_pickle=False`` given.
+    EOFError
+        When calling ``np.load`` multiple times on the same file handle,
+        if all data has already been read
+
+    See Also
+    --------
+    save, savez, savez_compressed, loadtxt
+    memmap : Create a memory-map to an array stored in a file on disk.
+    lib.format.open_memmap : Create or load a memory-mapped ``.npy`` file.
+
+    Notes
+    -----
+    - If the file contains pickle data, then whatever object is stored
+      in the pickle is returned.
+    - If the file is a ``.npy`` file, then a single array is returned.
+    - If the file is a ``.npz`` file, then a dictionary-like object is
+      returned, containing ``{filename: array}`` key-value pairs, one for
+      each file in the archive.
+    - If the file is a ``.npz`` file, the returned value supports the
+      context manager protocol in a similar fashion to the open function::
+
+        with load('foo.npz') as data:
+            a = data['a']
+
+      The underlying file descriptor is closed when exiting the 'with'
+      block.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Store data to disk, and load it again:
+
+    >>> np.save('/tmp/123', np.array([[1, 2, 3], [4, 5, 6]]))
+    >>> np.load('/tmp/123.npy')
+    array([[1, 2, 3],
+           [4, 5, 6]])
+
+    Store compressed data to disk, and load it again:
+
+    >>> a=np.array([[1, 2, 3], [4, 5, 6]])
+    >>> b=np.array([1, 2])
+    >>> np.savez('/tmp/123.npz', a=a, b=b)
+    >>> data = np.load('/tmp/123.npz')
+    >>> data['a']
+    array([[1, 2, 3],
+           [4, 5, 6]])
+    >>> data['b']
+    array([1, 2])
+    >>> data.close()
+
+    Mem-map the stored array, and then access the second row
+    directly from disk:
+
+    >>> X = np.load('/tmp/123.npy', mmap_mode='r')
+    >>> X[1, :]
+    memmap([4, 5, 6])
+
+    """
+    if encoding not in ('ASCII', 'latin1', 'bytes'):
+        # The 'encoding' value for pickle also affects what encoding
+        # the serialized binary data of NumPy arrays is loaded
+        # in. Pickle does not pass on the encoding information to
+        # NumPy. The unpickling code in numpy._core.multiarray is
+        # written to assume that unicode data appearing where binary
+        # should be is in 'latin1'. 'bytes' is also safe, as is 'ASCII'.
+        #
+        # Other encoding values can corrupt binary data, and we
+        # purposefully disallow them. For the same reason, the errors=
+        # argument is not exposed, as values other than 'strict'
+        # result can similarly silently corrupt numerical data.
+        raise ValueError("encoding must be 'ASCII', 'latin1', or 'bytes'")
+
+    pickle_kwargs = dict(encoding=encoding, fix_imports=fix_imports)
+
+    with contextlib.ExitStack() as stack:
+        if hasattr(file, 'read'):
+            fid = file
+            own_fid = False
+        else:
+            fid = stack.enter_context(open(os.fspath(file), "rb"))
+            own_fid = True
+
+        # Code to distinguish from NumPy binary files and pickles.
+        _ZIP_PREFIX = b'PK\x03\x04'
+        _ZIP_SUFFIX = b'PK\x05\x06'  # empty zip files start with this
+        N = len(format.MAGIC_PREFIX)
+        magic = fid.read(N)
+        if not magic:
+            raise EOFError("No data left in file")
+        # If the file size is less than N, we need to make sure not
+        # to seek past the beginning of the file
+        fid.seek(-min(N, len(magic)), 1)  # back-up
+        if magic.startswith((_ZIP_PREFIX, _ZIP_SUFFIX)):
+            # zip-file (assume .npz)
+            # Potentially transfer file ownership to NpzFile
+            stack.pop_all()
+            ret = NpzFile(fid, own_fid=own_fid, allow_pickle=allow_pickle,
+                          pickle_kwargs=pickle_kwargs,
+                          max_header_size=max_header_size)
+            return ret
+        elif magic == format.MAGIC_PREFIX:
+            # .npy file
+            if mmap_mode:
+                if allow_pickle:
+                    max_header_size = 2**64
+                return format.open_memmap(file, mode=mmap_mode,
+                                          max_header_size=max_header_size)
+            else:
+                return format.read_array(fid, allow_pickle=allow_pickle,
+                                         pickle_kwargs=pickle_kwargs,
+                                         max_header_size=max_header_size)
+        else:
+            # Try a pickle
+            if not allow_pickle:
+                raise ValueError(
+                    "This file contains pickled (object) data. If you trust "
+                    "the file you can load it unsafely using the "
+                    "`allow_pickle=` keyword argument or `pickle.load()`.")
+            try:
+                return pickle.load(fid, **pickle_kwargs)
+            except Exception as e:
+                raise pickle.UnpicklingError(
+                    f"Failed to interpret file {file!r} as a pickle") from e
+
+
+def _save_dispatcher(file, arr, allow_pickle=None, fix_imports=None):
+    return (arr,)
+
+
+@array_function_dispatch(_save_dispatcher)
+def save(file, arr, allow_pickle=True, fix_imports=np._NoValue):
+    """
+    Save an array to a binary file in NumPy ``.npy`` format.
+
+    Parameters
+    ----------
+    file : file, str, or pathlib.Path
+        File or filename to which the data is saved. If file is a file-object,
+        then the filename is unchanged.  If file is a string or Path,
+        a ``.npy`` extension will be appended to the filename if it does not
+        already have one.
+    arr : array_like
+        Array data to be saved.
+    allow_pickle : bool, optional
+        Allow saving object arrays using Python pickles. Reasons for
+        disallowing pickles include security (loading pickled data can execute
+        arbitrary code) and portability (pickled objects may not be loadable
+        on different Python installations, for example if the stored objects
+        require libraries that are not available, and not all pickled data is
+        compatible between different versions of Python).
+        Default: True
+    fix_imports : bool, optional
+        The `fix_imports` flag is deprecated and has no effect.
+
+        .. deprecated:: 2.1
+            This flag is ignored since NumPy 1.17 and was only needed to
+            support loading some files in Python 2 written in Python 3.
+
+    See Also
+    --------
+    savez : Save several arrays into a ``.npz`` archive
+    savetxt, load
+
+    Notes
+    -----
+    For a description of the ``.npy`` format, see :py:mod:`numpy.lib.format`.
+
+    Any data saved to the file is appended to the end of the file.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    >>> from tempfile import TemporaryFile
+    >>> outfile = TemporaryFile()
+
+    >>> x = np.arange(10)
+    >>> np.save(outfile, x)
+
+    >>> _ = outfile.seek(0) # Only needed to simulate closing & reopening file
+    >>> np.load(outfile)
+    array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
+
+
+    >>> with open('test.npy', 'wb') as f:
+    ...     np.save(f, np.array([1, 2]))
+    ...     np.save(f, np.array([1, 3]))
+    >>> with open('test.npy', 'rb') as f:
+    ...     a = np.load(f)
+    ...     b = np.load(f)
+    >>> print(a, b)
+    # [1 2] [1 3]
+    """
+    if fix_imports is not np._NoValue:
+        # Deprecated 2024-05-16, NumPy 2.1
+        warnings.warn(
+            "The 'fix_imports' flag is deprecated and has no effect. "
+            "(Deprecated in NumPy 2.1)",
+            DeprecationWarning, stacklevel=2)
+    if hasattr(file, 'write'):
+        file_ctx = contextlib.nullcontext(file)
+    else:
+        file = os.fspath(file)
+        if not file.endswith('.npy'):
+            file = file + '.npy'
+        file_ctx = open(file, "wb")
+
+    with file_ctx as fid:
+        arr = np.asanyarray(arr)
+        format.write_array(fid, arr, allow_pickle=allow_pickle,
+                           pickle_kwargs=dict(fix_imports=fix_imports))
+
+
+def _savez_dispatcher(file, *args, allow_pickle=True, **kwds):
+    yield from args
+    yield from kwds.values()
+
+
+@array_function_dispatch(_savez_dispatcher)
+def savez(file, *args, allow_pickle=True, **kwds):
+    """Save several arrays into a single file in uncompressed ``.npz`` format.
+
+    Provide arrays as keyword arguments to store them under the
+    corresponding name in the output file: ``savez(fn, x=x, y=y)``.
+
+    If arrays are specified as positional arguments, i.e., ``savez(fn,
+    x, y)``, their names will be `arr_0`, `arr_1`, etc.
+
+    Parameters
+    ----------
+    file : file, str, or pathlib.Path
+        Either the filename (string) or an open file (file-like object)
+        where the data will be saved. If file is a string or a Path, the
+        ``.npz`` extension will be appended to the filename if it is not
+        already there.
+    args : Arguments, optional
+        Arrays to save to the file. Please use keyword arguments (see
+        `kwds` below) to assign names to arrays.  Arrays specified as
+        args will be named "arr_0", "arr_1", and so on.
+    allow_pickle : bool, optional
+        Allow saving object arrays using Python pickles. Reasons for
+        disallowing pickles include security (loading pickled data can execute
+        arbitrary code) and portability (pickled objects may not be loadable
+        on different Python installations, for example if the stored objects
+        require libraries that are not available, and not all pickled data is
+        compatible between different versions of Python).
+        Default: True
+    kwds : Keyword arguments, optional
+        Arrays to save to the file. Each array will be saved to the
+        output file with its corresponding keyword name.
+
+    Returns
+    -------
+    None
+
+    See Also
+    --------
+    save : Save a single array to a binary file in NumPy format.
+    savetxt : Save an array to a file as plain text.
+    savez_compressed : Save several arrays into a compressed ``.npz`` archive
+
+    Notes
+    -----
+    The ``.npz`` file format is a zipped archive of files named after the
+    variables they contain.  The archive is not compressed and each file
+    in the archive contains one variable in ``.npy`` format. For a
+    description of the ``.npy`` format, see :py:mod:`numpy.lib.format`.
+
+    When opening the saved ``.npz`` file with `load` a `~lib.npyio.NpzFile`
+    object is returned. This is a dictionary-like object which can be queried
+    for its list of arrays (with the ``.files`` attribute), and for the arrays
+    themselves.
+
+    Keys passed in `kwds` are used as filenames inside the ZIP archive.
+    Therefore, keys should be valid filenames; e.g., avoid keys that begin with
+    ``/`` or contain ``.``.
+
+    When naming variables with keyword arguments, it is not possible to name a
+    variable ``file``, as this would cause the ``file`` argument to be defined
+    twice in the call to ``savez``.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from tempfile import TemporaryFile
+    >>> outfile = TemporaryFile()
+    >>> x = np.arange(10)
+    >>> y = np.sin(x)
+
+    Using `savez` with \\*args, the arrays are saved with default names.
+
+    >>> np.savez(outfile, x, y)
+    >>> _ = outfile.seek(0) # Only needed to simulate closing & reopening file
+    >>> npzfile = np.load(outfile)
+    >>> npzfile.files
+    ['arr_0', 'arr_1']
+    >>> npzfile['arr_0']
+    array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
+
+    Using `savez` with \\**kwds, the arrays are saved with the keyword names.
+
+    >>> outfile = TemporaryFile()
+    >>> np.savez(outfile, x=x, y=y)
+    >>> _ = outfile.seek(0)
+    >>> npzfile = np.load(outfile)
+    >>> sorted(npzfile.files)
+    ['x', 'y']
+    >>> npzfile['x']
+    array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
+
+    """
+    _savez(file, args, kwds, False, allow_pickle=allow_pickle)
+
+
+def _savez_compressed_dispatcher(file, *args, allow_pickle=True, **kwds):
+    yield from args
+    yield from kwds.values()
+
+
+@array_function_dispatch(_savez_compressed_dispatcher)
+def savez_compressed(file, *args, allow_pickle=True, **kwds):
+    """
+    Save several arrays into a single file in compressed ``.npz`` format.
+
+    Provide arrays as keyword arguments to store them under the
+    corresponding name in the output file: ``savez_compressed(fn, x=x, y=y)``.
+
+    If arrays are specified as positional arguments, i.e.,
+    ``savez_compressed(fn, x, y)``, their names will be `arr_0`, `arr_1`, etc.
+
+    Parameters
+    ----------
+    file : file, str, or pathlib.Path
+        Either the filename (string) or an open file (file-like object)
+        where the data will be saved. If file is a string or a Path, the
+        ``.npz`` extension will be appended to the filename if it is not
+        already there.
+    args : Arguments, optional
+        Arrays to save to the file. Please use keyword arguments (see
+        `kwds` below) to assign names to arrays.  Arrays specified as
+        args will be named "arr_0", "arr_1", and so on.
+    allow_pickle : bool, optional
+        Allow saving object arrays using Python pickles. Reasons for
+        disallowing pickles include security (loading pickled data can execute
+        arbitrary code) and portability (pickled objects may not be loadable
+        on different Python installations, for example if the stored objects
+        require libraries that are not available, and not all pickled data is
+        compatible between different versions of Python).
+        Default: True
+    kwds : Keyword arguments, optional
+        Arrays to save to the file. Each array will be saved to the
+        output file with its corresponding keyword name.
+
+    Returns
+    -------
+    None
+
+    See Also
+    --------
+    numpy.save : Save a single array to a binary file in NumPy format.
+    numpy.savetxt : Save an array to a file as plain text.
+    numpy.savez : Save several arrays into an uncompressed ``.npz`` file format
+    numpy.load : Load the files created by savez_compressed.
+
+    Notes
+    -----
+    The ``.npz`` file format is a zipped archive of files named after the
+    variables they contain.  The archive is compressed with
+    ``zipfile.ZIP_DEFLATED`` and each file in the archive contains one variable
+    in ``.npy`` format. For a description of the ``.npy`` format, see
+    :py:mod:`numpy.lib.format`.
+
+
+    When opening the saved ``.npz`` file with `load` a `~lib.npyio.NpzFile`
+    object is returned. This is a dictionary-like object which can be queried
+    for its list of arrays (with the ``.files`` attribute), and for the arrays
+    themselves.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> test_array = np.random.rand(3, 2)
+    >>> test_vector = np.random.rand(4)
+    >>> np.savez_compressed('/tmp/123', a=test_array, b=test_vector)
+    >>> loaded = np.load('/tmp/123.npz')
+    >>> print(np.array_equal(test_array, loaded['a']))
+    True
+    >>> print(np.array_equal(test_vector, loaded['b']))
+    True
+
+    """
+    _savez(file, args, kwds, True, allow_pickle=allow_pickle)
+
+
+def _savez(file, args, kwds, compress, allow_pickle=True, pickle_kwargs=None):
+    # Import is postponed to here since zipfile depends on gzip, an optional
+    # component of the so-called standard library.
+    import zipfile
+
+    if not hasattr(file, 'write'):
+        file = os.fspath(file)
+        if not file.endswith('.npz'):
+            file = file + '.npz'
+
+    namedict = kwds
+    for i, val in enumerate(args):
+        key = 'arr_%d' % i
+        if key in namedict.keys():
+            raise ValueError(
+                "Cannot use un-named variables and keyword %s" % key)
+        namedict[key] = val
+
+    if compress:
+        compression = zipfile.ZIP_DEFLATED
+    else:
+        compression = zipfile.ZIP_STORED
+
+    zipf = zipfile_factory(file, mode="w", compression=compression)
+    try:
+        for key, val in namedict.items():
+            fname = key + '.npy'
+            val = np.asanyarray(val)
+            # always force zip64, gh-10776
+            with zipf.open(fname, 'w', force_zip64=True) as fid:
+                format.write_array(fid, val,
+                                   allow_pickle=allow_pickle,
+                                   pickle_kwargs=pickle_kwargs)
+    finally:
+        zipf.close()
+
+
+def _ensure_ndmin_ndarray_check_param(ndmin):
+    """Just checks if the param ndmin is supported on
+        _ensure_ndmin_ndarray. It is intended to be used as
+        verification before running anything expensive.
+        e.g. loadtxt, genfromtxt
+    """
+    # Check correctness of the values of `ndmin`
+    if ndmin not in [0, 1, 2]:
+        raise ValueError(f"Illegal value of ndmin keyword: {ndmin}")
+
+def _ensure_ndmin_ndarray(a, *, ndmin: int):
+    """This is a helper function of loadtxt and genfromtxt to ensure
+        proper minimum dimension as requested
+
+        ndim : int. Supported values 1, 2, 3
+                    ^^ whenever this changes, keep in sync with
+                       _ensure_ndmin_ndarray_check_param
+    """
+    # Verify that the array has at least dimensions `ndmin`.
+    # Tweak the size and shape of the arrays - remove extraneous dimensions
+    if a.ndim > ndmin:
+        a = np.squeeze(a)
+    # and ensure we have the minimum number of dimensions asked for
+    # - has to be in this order for the odd case ndmin=1, a.squeeze().ndim=0
+    if a.ndim < ndmin:
+        if ndmin == 1:
+            a = np.atleast_1d(a)
+        elif ndmin == 2:
+            a = np.atleast_2d(a).T
+
+    return a
+
+
+# amount of lines loadtxt reads in one chunk, can be overridden for testing
+_loadtxt_chunksize = 50000
+
+
+def _check_nonneg_int(value, name="argument"):
+    try:
+        operator.index(value)
+    except TypeError:
+        raise TypeError(f"{name} must be an integer") from None
+    if value < 0:
+        raise ValueError(f"{name} must be nonnegative")
+
+
+def _preprocess_comments(iterable, comments, encoding):
+    """
+    Generator that consumes a line iterated iterable and strips out the
+    multiple (or multi-character) comments from lines.
+    This is a pre-processing step to achieve feature parity with loadtxt
+    (we assume that this feature is a nieche feature).
+    """
+    for line in iterable:
+        if isinstance(line, bytes):
+            # Need to handle conversion here, or the splitting would fail
+            line = line.decode(encoding)
+
+        for c in comments:
+            line = line.split(c, 1)[0]
+
+        yield line
+
+
+# The number of rows we read in one go if confronted with a parametric dtype
+_loadtxt_chunksize = 50000
+
+
+def _read(fname, *, delimiter=',', comment='#', quote='"',
+          imaginary_unit='j', usecols=None, skiplines=0,
+          max_rows=None, converters=None, ndmin=None, unpack=False,
+          dtype=np.float64, encoding=None):
+    r"""
+    Read a NumPy array from a text file.
+    This is a helper function for loadtxt.
+
+    Parameters
+    ----------
+    fname : file, str, or pathlib.Path
+        The filename or the file to be read.
+    delimiter : str, optional
+        Field delimiter of the fields in line of the file.
+        Default is a comma, ','.  If None any sequence of whitespace is
+        considered a delimiter.
+    comment : str or sequence of str or None, optional
+        Character that begins a comment.  All text from the comment
+        character to the end of the line is ignored.
+        Multiple comments or multiple-character comment strings are supported,
+        but may be slower and `quote` must be empty if used.
+        Use None to disable all use of comments.
+    quote : str or None, optional
+        Character that is used to quote string fields. Default is '"'
+        (a double quote). Use None to disable quote support.
+    imaginary_unit : str, optional
+        Character that represent the imaginary unit `sqrt(-1)`.
+        Default is 'j'.
+    usecols : array_like, optional
+        A one-dimensional array of integer column numbers.  These are the
+        columns from the file to be included in the array.  If this value
+        is not given, all the columns are used.
+    skiplines : int, optional
+        Number of lines to skip before interpreting the data in the file.
+    max_rows : int, optional
+        Maximum number of rows of data to read.  Default is to read the
+        entire file.
+    converters : dict or callable, optional
+        A function to parse all columns strings into the desired value, or
+        a dictionary mapping column number to a parser function.
+        E.g. if column 0 is a date string: ``converters = {0: datestr2num}``.
+        Converters can also be used to provide a default value for missing
+        data, e.g. ``converters = lambda s: float(s.strip() or 0)`` will
+        convert empty fields to 0.
+        Default: None
+    ndmin : int, optional
+        Minimum dimension of the array returned.
+        Allowed values are 0, 1 or 2.  Default is 0.
+    unpack : bool, optional
+        If True, the returned array is transposed, so that arguments may be
+        unpacked using ``x, y, z = read(...)``.  When used with a structured
+        data-type, arrays are returned for each field.  Default is False.
+    dtype : numpy data type
+        A NumPy dtype instance, can be a structured dtype to map to the
+        columns of the file.
+    encoding : str, optional
+        Encoding used to decode the inputfile. The special value 'bytes'
+        (the default) enables backwards-compatible behavior for `converters`,
+        ensuring that inputs to the converter functions are encoded
+        bytes objects. The special value 'bytes' has no additional effect if
+        ``converters=None``. If encoding is ``'bytes'`` or ``None``, the
+        default system encoding is used.
+
+    Returns
+    -------
+    ndarray
+        NumPy array.
+    """
+    # Handle special 'bytes' keyword for encoding
+    byte_converters = False
+    if encoding == 'bytes':
+        encoding = None
+        byte_converters = True
+
+    if dtype is None:
+        raise TypeError("a dtype must be provided.")
+    dtype = np.dtype(dtype)
+
+    read_dtype_via_object_chunks = None
+    if dtype.kind in 'SUM' and (
+            dtype == "S0" or dtype == "U0" or dtype == "M8" or dtype == 'm8'):
+        # This is a legacy "flexible" dtype.  We do not truly support
+        # parametric dtypes currently (no dtype discovery step in the core),
+        # but have to support these for backward compatibility.
+        read_dtype_via_object_chunks = dtype
+        dtype = np.dtype(object)
+
+    if usecols is not None:
+        # Allow usecols to be a single int or a sequence of ints, the C-code
+        # handles the rest
+        try:
+            usecols = list(usecols)
+        except TypeError:
+            usecols = [usecols]
+
+    _ensure_ndmin_ndarray_check_param(ndmin)
+
+    if comment is None:
+        comments = None
+    else:
+        # assume comments are a sequence of strings
+        if "" in comment:
+            raise ValueError(
+                "comments cannot be an empty string. Use comments=None to "
+                "disable comments."
+            )
+        comments = tuple(comment)
+        comment = None
+        if len(comments) == 0:
+            comments = None  # No comments at all
+        elif len(comments) == 1:
+            # If there is only one comment, and that comment has one character,
+            # the normal parsing can deal with it just fine.
+            if isinstance(comments[0], str) and len(comments[0]) == 1:
+                comment = comments[0]
+                comments = None
+        else:
+            # Input validation if there are multiple comment characters
+            if delimiter in comments:
+                raise TypeError(
+                    f"Comment characters '{comments}' cannot include the "
+                    f"delimiter '{delimiter}'"
+                )
+
+    # comment is now either a 1 or 0 character string or a tuple:
+    if comments is not None:
+        # Note: An earlier version support two character comments (and could
+        #       have been extended to multiple characters, we assume this is
+        #       rare enough to not optimize for.
+        if quote is not None:
+            raise ValueError(
+                "when multiple comments or a multi-character comment is "
+                "given, quotes are not supported.  In this case quotechar "
+                "must be set to None.")
+
+    if len(imaginary_unit) != 1:
+        raise ValueError('len(imaginary_unit) must be 1.')
+
+    _check_nonneg_int(skiplines)
+    if max_rows is not None:
+        _check_nonneg_int(max_rows)
+    else:
+        # Passing -1 to the C code means "read the entire file".
+        max_rows = -1
+
+    fh_closing_ctx = contextlib.nullcontext()
+    filelike = False
+    try:
+        if isinstance(fname, os.PathLike):
+            fname = os.fspath(fname)
+        if isinstance(fname, str):
+            fh = np.lib._datasource.open(fname, 'rt', encoding=encoding)
+            if encoding is None:
+                encoding = getattr(fh, 'encoding', 'latin1')
+
+            fh_closing_ctx = contextlib.closing(fh)
+            data = fh
+            filelike = True
+        else:
+            if encoding is None:
+                encoding = getattr(fname, 'encoding', 'latin1')
+            data = iter(fname)
+    except TypeError as e:
+        raise ValueError(
+            f"fname must be a string, filehandle, list of strings,\n"
+            f"or generator. Got {type(fname)} instead.") from e
+
+    with fh_closing_ctx:
+        if comments is not None:
+            if filelike:
+                data = iter(data)
+                filelike = False
+            data = _preprocess_comments(data, comments, encoding)
+
+        if read_dtype_via_object_chunks is None:
+            arr = _load_from_filelike(
+                data, delimiter=delimiter, comment=comment, quote=quote,
+                imaginary_unit=imaginary_unit,
+                usecols=usecols, skiplines=skiplines, max_rows=max_rows,
+                converters=converters, dtype=dtype,
+                encoding=encoding, filelike=filelike,
+                byte_converters=byte_converters)
+
+        else:
+            # This branch reads the file into chunks of object arrays and then
+            # casts them to the desired actual dtype.  This ensures correct
+            # string-length and datetime-unit discovery (like `arr.astype()`).
+            # Due to chunking, certain error reports are less clear, currently.
+            if filelike:
+                data = iter(data)  # cannot chunk when reading from file
+                filelike = False
+
+            c_byte_converters = False
+            if read_dtype_via_object_chunks == "S":
+                c_byte_converters = True  # Use latin1 rather than ascii
+
+            chunks = []
+            while max_rows != 0:
+                if max_rows < 0:
+                    chunk_size = _loadtxt_chunksize
+                else:
+                    chunk_size = min(_loadtxt_chunksize, max_rows)
+
+                next_arr = _load_from_filelike(
+                    data, delimiter=delimiter, comment=comment, quote=quote,
+                    imaginary_unit=imaginary_unit,
+                    usecols=usecols, skiplines=skiplines, max_rows=chunk_size,
+                    converters=converters, dtype=dtype,
+                    encoding=encoding, filelike=filelike,
+                    byte_converters=byte_converters,
+                    c_byte_converters=c_byte_converters)
+                # Cast here already.  We hope that this is better even for
+                # large files because the storage is more compact.  It could
+                # be adapted (in principle the concatenate could cast).
+                chunks.append(next_arr.astype(read_dtype_via_object_chunks))
+
+                skiplines = 0  # Only have to skip for first chunk
+                if max_rows >= 0:
+                    max_rows -= chunk_size
+                if len(next_arr) < chunk_size:
+                    # There was less data than requested, so we are done.
+                    break
+
+            # Need at least one chunk, but if empty, the last one may have
+            # the wrong shape.
+            if len(chunks) > 1 and len(chunks[-1]) == 0:
+                del chunks[-1]
+            if len(chunks) == 1:
+                arr = chunks[0]
+            else:
+                arr = np.concatenate(chunks, axis=0)
+
+    # NOTE: ndmin works as advertised for structured dtypes, but normally
+    #       these would return a 1D result plus the structured dimension,
+    #       so ndmin=2 adds a third dimension even when no squeezing occurs.
+    #       A `squeeze=False` could be a better solution (pandas uses squeeze).
+    arr = _ensure_ndmin_ndarray(arr, ndmin=ndmin)
+
+    if arr.shape:
+        if arr.shape[0] == 0:
+            warnings.warn(
+                f'loadtxt: input contained no data: "{fname}"',
+                category=UserWarning,
+                stacklevel=3
+            )
+
+    if unpack:
+        # Unpack structured dtypes if requested:
+        dt = arr.dtype
+        if dt.names is not None:
+            # For structured arrays, return an array for each field.
+            return [arr[field] for field in dt.names]
+        else:
+            return arr.T
+    else:
+        return arr
+
+
+@finalize_array_function_like
+@set_module('numpy')
+def loadtxt(fname, dtype=float, comments='#', delimiter=None,
+            converters=None, skiprows=0, usecols=None, unpack=False,
+            ndmin=0, encoding=None, max_rows=None, *, quotechar=None,
+            like=None):
+    r"""
+    Load data from a text file.
+
+    Parameters
+    ----------
+    fname : file, str, pathlib.Path, list of str, generator
+        File, filename, list, or generator to read.  If the filename
+        extension is ``.gz`` or ``.bz2``, the file is first decompressed. Note
+        that generators must return bytes or strings. The strings
+        in a list or produced by a generator are treated as lines.
+    dtype : data-type, optional
+        Data-type of the resulting array; default: float.  If this is a
+        structured data-type, the resulting array will be 1-dimensional, and
+        each row will be interpreted as an element of the array.  In this
+        case, the number of columns used must match the number of fields in
+        the data-type.
+    comments : str or sequence of str or None, optional
+        The characters or list of characters used to indicate the start of a
+        comment. None implies no comments. For backwards compatibility, byte
+        strings will be decoded as 'latin1'. The default is '#'.
+    delimiter : str, optional
+        The character used to separate the values. For backwards compatibility,
+        byte strings will be decoded as 'latin1'. The default is whitespace.
+
+        .. versionchanged:: 1.23.0
+           Only single character delimiters are supported. Newline characters
+           cannot be used as the delimiter.
+
+    converters : dict or callable, optional
+        Converter functions to customize value parsing. If `converters` is
+        callable, the function is applied to all columns, else it must be a
+        dict that maps column number to a parser function.
+        See examples for further details.
+        Default: None.
+
+        .. versionchanged:: 1.23.0
+           The ability to pass a single callable to be applied to all columns
+           was added.
+
+    skiprows : int, optional
+        Skip the first `skiprows` lines, including comments; default: 0.
+    usecols : int or sequence, optional
+        Which columns to read, with 0 being the first. For example,
+        ``usecols = (1,4,5)`` will extract the 2nd, 5th and 6th columns.
+        The default, None, results in all columns being read.
+    unpack : bool, optional
+        If True, the returned array is transposed, so that arguments may be
+        unpacked using ``x, y, z = loadtxt(...)``.  When used with a
+        structured data-type, arrays are returned for each field.
+        Default is False.
+    ndmin : int, optional
+        The returned array will have at least `ndmin` dimensions.
+        Otherwise mono-dimensional axes will be squeezed.
+        Legal values: 0 (default), 1 or 2.
+    encoding : str, optional
+        Encoding used to decode the inputfile. Does not apply to input streams.
+        The special value 'bytes' enables backward compatibility workarounds
+        that ensures you receive byte arrays as results if possible and passes
+        'latin1' encoded strings to converters. Override this value to receive
+        unicode arrays and pass strings as input to converters.  If set to None
+        the system default is used. The default value is 'bytes'.
+
+        .. versionchanged:: 2.0
+            Before NumPy 2, the default was ``'bytes'`` for Python 2
+            compatibility. The default is now ``None``.
+
+    max_rows : int, optional
+        Read `max_rows` rows of content after `skiprows` lines. The default is
+        to read all the rows. Note that empty rows containing no data such as
+        empty lines and comment lines are not counted towards `max_rows`,
+        while such lines are counted in `skiprows`.
+
+        .. versionchanged:: 1.23.0
+            Lines containing no data, including comment lines (e.g., lines
+            starting with '#' or as specified via `comments`) are not counted
+            towards `max_rows`.
+    quotechar : unicode character or None, optional
+        The character used to denote the start and end of a quoted item.
+        Occurrences of the delimiter or comment characters are ignored within
+        a quoted item. The default value is ``quotechar=None``, which means
+        quoting support is disabled.
+
+        If two consecutive instances of `quotechar` are found within a quoted
+        field, the first is treated as an escape character. See examples.
+
+        .. versionadded:: 1.23.0
+    ${ARRAY_FUNCTION_LIKE}
+
+        .. versionadded:: 1.20.0
+
+    Returns
+    -------
+    out : ndarray
+        Data read from the text file.
+
+    See Also
+    --------
+    load, fromstring, fromregex
+    genfromtxt : Load data with missing values handled as specified.
+    scipy.io.loadmat : reads MATLAB data files
+
+    Notes
+    -----
+    This function aims to be a fast reader for simply formatted files.  The
+    `genfromtxt` function provides more sophisticated handling of, e.g.,
+    lines with missing values.
+
+    Each row in the input text file must have the same number of values to be
+    able to read all values. If all rows do not have same number of values, a
+    subset of up to n columns (where n is the least number of values present
+    in all rows) can be read by specifying the columns via `usecols`.
+
+    The strings produced by the Python float.hex method can be used as
+    input for floats.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from io import StringIO   # StringIO behaves like a file object
+    >>> c = StringIO("0 1\n2 3")
+    >>> np.loadtxt(c)
+    array([[0., 1.],
+           [2., 3.]])
+
+    >>> d = StringIO("M 21 72\nF 35 58")
+    >>> np.loadtxt(d, dtype={'names': ('gender', 'age', 'weight'),
+    ...                      'formats': ('S1', 'i4', 'f4')})
+    array([(b'M', 21, 72.), (b'F', 35, 58.)],
+          dtype=[('gender', 'S1'), ('age', '>> c = StringIO("1,0,2\n3,0,4")
+    >>> x, y = np.loadtxt(c, delimiter=',', usecols=(0, 2), unpack=True)
+    >>> x
+    array([1., 3.])
+    >>> y
+    array([2., 4.])
+
+    The `converters` argument is used to specify functions to preprocess the
+    text prior to parsing. `converters` can be a dictionary that maps
+    preprocessing functions to each column:
+
+    >>> s = StringIO("1.618, 2.296\n3.141, 4.669\n")
+    >>> conv = {
+    ...     0: lambda x: np.floor(float(x)),  # conversion fn for column 0
+    ...     1: lambda x: np.ceil(float(x)),  # conversion fn for column 1
+    ... }
+    >>> np.loadtxt(s, delimiter=",", converters=conv)
+    array([[1., 3.],
+           [3., 5.]])
+
+    `converters` can be a callable instead of a dictionary, in which case it
+    is applied to all columns:
+
+    >>> s = StringIO("0xDE 0xAD\n0xC0 0xDE")
+    >>> import functools
+    >>> conv = functools.partial(int, base=16)
+    >>> np.loadtxt(s, converters=conv)
+    array([[222., 173.],
+           [192., 222.]])
+
+    This example shows how `converters` can be used to convert a field
+    with a trailing minus sign into a negative number.
+
+    >>> s = StringIO("10.01 31.25-\n19.22 64.31\n17.57- 63.94")
+    >>> def conv(fld):
+    ...     return -float(fld[:-1]) if fld.endswith("-") else float(fld)
+    ...
+    >>> np.loadtxt(s, converters=conv)
+    array([[ 10.01, -31.25],
+           [ 19.22,  64.31],
+           [-17.57,  63.94]])
+
+    Using a callable as the converter can be particularly useful for handling
+    values with different formatting, e.g. floats with underscores:
+
+    >>> s = StringIO("1 2.7 100_000")
+    >>> np.loadtxt(s, converters=float)
+    array([1.e+00, 2.7e+00, 1.e+05])
+
+    This idea can be extended to automatically handle values specified in
+    many different formats, such as hex values:
+
+    >>> def conv(val):
+    ...     try:
+    ...         return float(val)
+    ...     except ValueError:
+    ...         return float.fromhex(val)
+    >>> s = StringIO("1, 2.5, 3_000, 0b4, 0x1.4000000000000p+2")
+    >>> np.loadtxt(s, delimiter=",", converters=conv)
+    array([1.0e+00, 2.5e+00, 3.0e+03, 1.8e+02, 5.0e+00])
+
+    Or a format where the ``-`` sign comes after the number:
+
+    >>> s = StringIO("10.01 31.25-\n19.22 64.31\n17.57- 63.94")
+    >>> conv = lambda x: -float(x[:-1]) if x.endswith("-") else float(x)
+    >>> np.loadtxt(s, converters=conv)
+    array([[ 10.01, -31.25],
+           [ 19.22,  64.31],
+           [-17.57,  63.94]])
+
+    Support for quoted fields is enabled with the `quotechar` parameter.
+    Comment and delimiter characters are ignored when they appear within a
+    quoted item delineated by `quotechar`:
+
+    >>> s = StringIO('"alpha, #42", 10.0\n"beta, #64", 2.0\n')
+    >>> dtype = np.dtype([("label", "U12"), ("value", float)])
+    >>> np.loadtxt(s, dtype=dtype, delimiter=",", quotechar='"')
+    array([('alpha, #42', 10.), ('beta, #64',  2.)],
+          dtype=[('label', '>> s = StringIO('"alpha, #42"       10.0\n"beta, #64" 2.0\n')
+    >>> dtype = np.dtype([("label", "U12"), ("value", float)])
+    >>> np.loadtxt(s, dtype=dtype, delimiter=None, quotechar='"')
+    array([('alpha, #42', 10.), ('beta, #64',  2.)],
+          dtype=[('label', '>> s = StringIO('"Hello, my name is ""Monty""!"')
+    >>> np.loadtxt(s, dtype="U", delimiter=",", quotechar='"')
+    array('Hello, my name is "Monty"!', dtype='>> d = StringIO("1 2\n2 4\n3 9 12\n4 16 20")
+    >>> np.loadtxt(d, usecols=(0, 1))
+    array([[ 1.,  2.],
+           [ 2.,  4.],
+           [ 3.,  9.],
+           [ 4., 16.]])
+
+    """
+
+    if like is not None:
+        return _loadtxt_with_like(
+            like, fname, dtype=dtype, comments=comments, delimiter=delimiter,
+            converters=converters, skiprows=skiprows, usecols=usecols,
+            unpack=unpack, ndmin=ndmin, encoding=encoding,
+            max_rows=max_rows
+        )
+
+    if isinstance(delimiter, bytes):
+        delimiter.decode("latin1")
+
+    if dtype is None:
+        dtype = np.float64
+
+    comment = comments
+    # Control character type conversions for Py3 convenience
+    if comment is not None:
+        if isinstance(comment, (str, bytes)):
+            comment = [comment]
+        comment = [
+            x.decode('latin1') if isinstance(x, bytes) else x for x in comment]
+    if isinstance(delimiter, bytes):
+        delimiter = delimiter.decode('latin1')
+
+    arr = _read(fname, dtype=dtype, comment=comment, delimiter=delimiter,
+                converters=converters, skiplines=skiprows, usecols=usecols,
+                unpack=unpack, ndmin=ndmin, encoding=encoding,
+                max_rows=max_rows, quote=quotechar)
+
+    return arr
+
+
+_loadtxt_with_like = array_function_dispatch()(loadtxt)
+
+
+def _savetxt_dispatcher(fname, X, fmt=None, delimiter=None, newline=None,
+                        header=None, footer=None, comments=None,
+                        encoding=None):
+    return (X,)
+
+
+@array_function_dispatch(_savetxt_dispatcher)
+def savetxt(fname, X, fmt='%.18e', delimiter=' ', newline='\n', header='',
+            footer='', comments='# ', encoding=None):
+    """
+    Save an array to a text file.
+
+    Parameters
+    ----------
+    fname : filename, file handle or pathlib.Path
+        If the filename ends in ``.gz``, the file is automatically saved in
+        compressed gzip format.  `loadtxt` understands gzipped files
+        transparently.
+    X : 1D or 2D array_like
+        Data to be saved to a text file.
+    fmt : str or sequence of strs, optional
+        A single format (%10.5f), a sequence of formats, or a
+        multi-format string, e.g. 'Iteration %d -- %10.5f', in which
+        case `delimiter` is ignored. For complex `X`, the legal options
+        for `fmt` are:
+
+        * a single specifier, ``fmt='%.4e'``, resulting in numbers formatted
+          like ``' (%s+%sj)' % (fmt, fmt)``
+        * a full string specifying every real and imaginary part, e.g.
+          ``' %.4e %+.4ej %.4e %+.4ej %.4e %+.4ej'`` for 3 columns
+        * a list of specifiers, one per column - in this case, the real
+          and imaginary part must have separate specifiers,
+          e.g. ``['%.3e + %.3ej', '(%.15e%+.15ej)']`` for 2 columns
+    delimiter : str, optional
+        String or character separating columns.
+    newline : str, optional
+        String or character separating lines.
+    header : str, optional
+        String that will be written at the beginning of the file.
+    footer : str, optional
+        String that will be written at the end of the file.
+    comments : str, optional
+        String that will be prepended to the ``header`` and ``footer`` strings,
+        to mark them as comments. Default: '# ',  as expected by e.g.
+        ``numpy.loadtxt``.
+    encoding : {None, str}, optional
+        Encoding used to encode the outputfile. Does not apply to output
+        streams. If the encoding is something other than 'bytes' or 'latin1'
+        you will not be able to load the file in NumPy versions < 1.14. Default
+        is 'latin1'.
+
+    See Also
+    --------
+    save : Save an array to a binary file in NumPy ``.npy`` format
+    savez : Save several arrays into an uncompressed ``.npz`` archive
+    savez_compressed : Save several arrays into a compressed ``.npz`` archive
+
+    Notes
+    -----
+    Further explanation of the `fmt` parameter
+    (``%[flag]width[.precision]specifier``):
+
+    flags:
+        ``-`` : left justify
+
+        ``+`` : Forces to precede result with + or -.
+
+        ``0`` : Left pad the number with zeros instead of space (see width).
+
+    width:
+        Minimum number of characters to be printed. The value is not truncated
+        if it has more characters.
+
+    precision:
+        - For integer specifiers (eg. ``d,i,o,x``), the minimum number of
+          digits.
+        - For ``e, E`` and ``f`` specifiers, the number of digits to print
+          after the decimal point.
+        - For ``g`` and ``G``, the maximum number of significant digits.
+        - For ``s``, the maximum number of characters.
+
+    specifiers:
+        ``c`` : character
+
+        ``d`` or ``i`` : signed decimal integer
+
+        ``e`` or ``E`` : scientific notation with ``e`` or ``E``.
+
+        ``f`` : decimal floating point
+
+        ``g,G`` : use the shorter of ``e,E`` or ``f``
+
+        ``o`` : signed octal
+
+        ``s`` : string of characters
+
+        ``u`` : unsigned decimal integer
+
+        ``x,X`` : unsigned hexadecimal integer
+
+    This explanation of ``fmt`` is not complete, for an exhaustive
+    specification see [1]_.
+
+    References
+    ----------
+    .. [1] `Format Specification Mini-Language
+           `_,
+           Python Documentation.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = y = z = np.arange(0.0,5.0,1.0)
+    >>> np.savetxt('test.out', x, delimiter=',')   # X is an array
+    >>> np.savetxt('test.out', (x,y,z))   # x,y,z equal sized 1D arrays
+    >>> np.savetxt('test.out', x, fmt='%1.4e')   # use exponential notation
+
+    """
+
+    class WriteWrap:
+        """Convert to bytes on bytestream inputs.
+
+        """
+        def __init__(self, fh, encoding):
+            self.fh = fh
+            self.encoding = encoding
+            self.do_write = self.first_write
+
+        def close(self):
+            self.fh.close()
+
+        def write(self, v):
+            self.do_write(v)
+
+        def write_bytes(self, v):
+            if isinstance(v, bytes):
+                self.fh.write(v)
+            else:
+                self.fh.write(v.encode(self.encoding))
+
+        def write_normal(self, v):
+            self.fh.write(asunicode(v))
+
+        def first_write(self, v):
+            try:
+                self.write_normal(v)
+                self.write = self.write_normal
+            except TypeError:
+                # input is probably a bytestream
+                self.write_bytes(v)
+                self.write = self.write_bytes
+
+    own_fh = False
+    if isinstance(fname, os.PathLike):
+        fname = os.fspath(fname)
+    if _is_string_like(fname):
+        # datasource doesn't support creating a new file ...
+        open(fname, 'wt').close()
+        fh = np.lib._datasource.open(fname, 'wt', encoding=encoding)
+        own_fh = True
+    elif hasattr(fname, 'write'):
+        # wrap to handle byte output streams
+        fh = WriteWrap(fname, encoding or 'latin1')
+    else:
+        raise ValueError('fname must be a string or file handle')
+
+    try:
+        X = np.asarray(X)
+
+        # Handle 1-dimensional arrays
+        if X.ndim == 0 or X.ndim > 2:
+            raise ValueError(
+                "Expected 1D or 2D array, got %dD array instead" % X.ndim)
+        elif X.ndim == 1:
+            # Common case -- 1d array of numbers
+            if X.dtype.names is None:
+                X = np.atleast_2d(X).T
+                ncol = 1
+
+            # Complex dtype -- each field indicates a separate column
+            else:
+                ncol = len(X.dtype.names)
+        else:
+            ncol = X.shape[1]
+
+        iscomplex_X = np.iscomplexobj(X)
+        # `fmt` can be a string with multiple insertion points or a
+        # list of formats.  E.g. '%10.5f\t%10d' or ('%10.5f', '$10d')
+        if type(fmt) in (list, tuple):
+            if len(fmt) != ncol:
+                raise AttributeError('fmt has wrong shape.  %s' % str(fmt))
+            format = delimiter.join(fmt)
+        elif isinstance(fmt, str):
+            n_fmt_chars = fmt.count('%')
+            error = ValueError('fmt has wrong number of %% formats:  %s' % fmt)
+            if n_fmt_chars == 1:
+                if iscomplex_X:
+                    fmt = [' (%s+%sj)' % (fmt, fmt), ] * ncol
+                else:
+                    fmt = [fmt, ] * ncol
+                format = delimiter.join(fmt)
+            elif iscomplex_X and n_fmt_chars != (2 * ncol):
+                raise error
+            elif ((not iscomplex_X) and n_fmt_chars != ncol):
+                raise error
+            else:
+                format = fmt
+        else:
+            raise ValueError('invalid fmt: %r' % (fmt,))
+
+        if len(header) > 0:
+            header = header.replace('\n', '\n' + comments)
+            fh.write(comments + header + newline)
+        if iscomplex_X:
+            for row in X:
+                row2 = []
+                for number in row:
+                    row2.append(number.real)
+                    row2.append(number.imag)
+                s = format % tuple(row2) + newline
+                fh.write(s.replace('+-', '-'))
+        else:
+            for row in X:
+                try:
+                    v = format % tuple(row) + newline
+                except TypeError as e:
+                    raise TypeError("Mismatch between array dtype ('%s') and "
+                                    "format specifier ('%s')"
+                                    % (str(X.dtype), format)) from e
+                fh.write(v)
+
+        if len(footer) > 0:
+            footer = footer.replace('\n', '\n' + comments)
+            fh.write(comments + footer + newline)
+    finally:
+        if own_fh:
+            fh.close()
+
+
+@set_module('numpy')
+def fromregex(file, regexp, dtype, encoding=None):
+    r"""
+    Construct an array from a text file, using regular expression parsing.
+
+    The returned array is always a structured array, and is constructed from
+    all matches of the regular expression in the file. Groups in the regular
+    expression are converted to fields of the structured array.
+
+    Parameters
+    ----------
+    file : file, str, or pathlib.Path
+        Filename or file object to read.
+
+        .. versionchanged:: 1.22.0
+            Now accepts `os.PathLike` implementations.
+
+    regexp : str or regexp
+        Regular expression used to parse the file.
+        Groups in the regular expression correspond to fields in the dtype.
+    dtype : dtype or list of dtypes
+        Dtype for the structured array; must be a structured datatype.
+    encoding : str, optional
+        Encoding used to decode the inputfile. Does not apply to input streams.
+
+    Returns
+    -------
+    output : ndarray
+        The output array, containing the part of the content of `file` that
+        was matched by `regexp`. `output` is always a structured array.
+
+    Raises
+    ------
+    TypeError
+        When `dtype` is not a valid dtype for a structured array.
+
+    See Also
+    --------
+    fromstring, loadtxt
+
+    Notes
+    -----
+    Dtypes for structured arrays can be specified in several forms, but all
+    forms specify at least the data type and field name. For details see
+    `basics.rec`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from io import StringIO
+    >>> text = StringIO("1312 foo\n1534  bar\n444   qux")
+
+    >>> regexp = r"(\d+)\s+(...)"  # match [digits, whitespace, anything]
+    >>> output = np.fromregex(text, regexp,
+    ...                       [('num', np.int64), ('key', 'S3')])
+    >>> output
+    array([(1312, b'foo'), (1534, b'bar'), ( 444, b'qux')],
+          dtype=[('num', '>> output['num']
+    array([1312, 1534,  444])
+
+    """
+    own_fh = False
+    if not hasattr(file, "read"):
+        file = os.fspath(file)
+        file = np.lib._datasource.open(file, 'rt', encoding=encoding)
+        own_fh = True
+
+    try:
+        if not isinstance(dtype, np.dtype):
+            dtype = np.dtype(dtype)
+        if dtype.names is None:
+            raise TypeError('dtype must be a structured datatype.')
+
+        content = file.read()
+        if isinstance(content, bytes) and isinstance(regexp, str):
+            regexp = asbytes(regexp)
+
+        if not hasattr(regexp, 'match'):
+            regexp = re.compile(regexp)
+        seq = regexp.findall(content)
+        if seq and not isinstance(seq[0], tuple):
+            # Only one group is in the regexp.
+            # Create the new array as a single data-type and then
+            #   re-interpret as a single-field structured array.
+            newdtype = np.dtype(dtype[dtype.names[0]])
+            output = np.array(seq, dtype=newdtype)
+            output.dtype = dtype
+        else:
+            output = np.array(seq, dtype=dtype)
+
+        return output
+    finally:
+        if own_fh:
+            file.close()
+
+
+#####--------------------------------------------------------------------------
+#---- --- ASCII functions ---
+#####--------------------------------------------------------------------------
+
+
+@finalize_array_function_like
+@set_module('numpy')
+def genfromtxt(fname, dtype=float, comments='#', delimiter=None,
+               skip_header=0, skip_footer=0, converters=None,
+               missing_values=None, filling_values=None, usecols=None,
+               names=None, excludelist=None,
+               deletechars=''.join(sorted(NameValidator.defaultdeletechars)),
+               replace_space='_', autostrip=False, case_sensitive=True,
+               defaultfmt="f%i", unpack=None, usemask=False, loose=True,
+               invalid_raise=True, max_rows=None, encoding=None,
+               *, ndmin=0, like=None):
+    """
+    Load data from a text file, with missing values handled as specified.
+
+    Each line past the first `skip_header` lines is split at the `delimiter`
+    character, and characters following the `comments` character are discarded.
+
+    Parameters
+    ----------
+    fname : file, str, pathlib.Path, list of str, generator
+        File, filename, list, or generator to read.  If the filename
+        extension is ``.gz`` or ``.bz2``, the file is first decompressed. Note
+        that generators must return bytes or strings. The strings
+        in a list or produced by a generator are treated as lines.
+    dtype : dtype, optional
+        Data type of the resulting array.
+        If None, the dtypes will be determined by the contents of each
+        column, individually.
+    comments : str, optional
+        The character used to indicate the start of a comment.
+        All the characters occurring on a line after a comment are discarded.
+    delimiter : str, int, or sequence, optional
+        The string used to separate values.  By default, any consecutive
+        whitespaces act as delimiter.  An integer or sequence of integers
+        can also be provided as width(s) of each field.
+    skiprows : int, optional
+        `skiprows` was removed in numpy 1.10. Please use `skip_header` instead.
+    skip_header : int, optional
+        The number of lines to skip at the beginning of the file.
+    skip_footer : int, optional
+        The number of lines to skip at the end of the file.
+    converters : variable, optional
+        The set of functions that convert the data of a column to a value.
+        The converters can also be used to provide a default value
+        for missing data: ``converters = {3: lambda s: float(s or 0)}``.
+    missing : variable, optional
+        `missing` was removed in numpy 1.10. Please use `missing_values`
+        instead.
+    missing_values : variable, optional
+        The set of strings corresponding to missing data.
+    filling_values : variable, optional
+        The set of values to be used as default when the data are missing.
+    usecols : sequence, optional
+        Which columns to read, with 0 being the first.  For example,
+        ``usecols = (1, 4, 5)`` will extract the 2nd, 5th and 6th columns.
+    names : {None, True, str, sequence}, optional
+        If `names` is True, the field names are read from the first line after
+        the first `skip_header` lines. This line can optionally be preceded
+        by a comment delimiter. Any content before the comment delimiter is
+        discarded. If `names` is a sequence or a single-string of
+        comma-separated names, the names will be used to define the field
+        names in a structured dtype. If `names` is None, the names of the
+        dtype fields will be used, if any.
+    excludelist : sequence, optional
+        A list of names to exclude. This list is appended to the default list
+        ['return','file','print']. Excluded names are appended with an
+        underscore: for example, `file` would become `file_`.
+    deletechars : str, optional
+        A string combining invalid characters that must be deleted from the
+        names.
+    defaultfmt : str, optional
+        A format used to define default field names, such as "f%i" or "f_%02i".
+    autostrip : bool, optional
+        Whether to automatically strip white spaces from the variables.
+    replace_space : char, optional
+        Character(s) used in replacement of white spaces in the variable
+        names. By default, use a '_'.
+    case_sensitive : {True, False, 'upper', 'lower'}, optional
+        If True, field names are case sensitive.
+        If False or 'upper', field names are converted to upper case.
+        If 'lower', field names are converted to lower case.
+    unpack : bool, optional
+        If True, the returned array is transposed, so that arguments may be
+        unpacked using ``x, y, z = genfromtxt(...)``.  When used with a
+        structured data-type, arrays are returned for each field.
+        Default is False.
+    usemask : bool, optional
+        If True, return a masked array.
+        If False, return a regular array.
+    loose : bool, optional
+        If True, do not raise errors for invalid values.
+    invalid_raise : bool, optional
+        If True, an exception is raised if an inconsistency is detected in the
+        number of columns.
+        If False, a warning is emitted and the offending lines are skipped.
+    max_rows : int,  optional
+        The maximum number of rows to read. Must not be used with skip_footer
+        at the same time.  If given, the value must be at least 1. Default is
+        to read the entire file.
+    encoding : str, optional
+        Encoding used to decode the inputfile. Does not apply when `fname`
+        is a file object. The special value 'bytes' enables backward
+        compatibility workarounds that ensure that you receive byte arrays
+        when possible and passes latin1 encoded strings to converters.
+        Override this value to receive unicode arrays and pass strings
+        as input to converters.  If set to None the system default is used.
+        The default value is 'bytes'.
+
+        .. versionchanged:: 2.0
+            Before NumPy 2, the default was ``'bytes'`` for Python 2
+            compatibility. The default is now ``None``.
+
+    ndmin : int, optional
+        Same parameter as `loadtxt`
+
+        .. versionadded:: 1.23.0
+    ${ARRAY_FUNCTION_LIKE}
+
+        .. versionadded:: 1.20.0
+
+    Returns
+    -------
+    out : ndarray
+        Data read from the text file. If `usemask` is True, this is a
+        masked array.
+
+    See Also
+    --------
+    numpy.loadtxt : equivalent function when no data is missing.
+
+    Notes
+    -----
+    * When spaces are used as delimiters, or when no delimiter has been given
+      as input, there should not be any missing data between two fields.
+    * When variables are named (either by a flexible dtype or with a `names`
+      sequence), there must not be any header in the file (else a ValueError
+      exception is raised).
+    * Individual values are not stripped of spaces by default.
+      When using a custom converter, make sure the function does remove spaces.
+    * Custom converters may receive unexpected values due to dtype
+      discovery.
+
+    References
+    ----------
+    .. [1] NumPy User Guide, section `I/O with NumPy
+           `_.
+
+    Examples
+    --------
+    >>> from io import StringIO
+    >>> import numpy as np
+
+    Comma delimited file with mixed dtype
+
+    >>> s = StringIO("1,1.3,abcde")
+    >>> data = np.genfromtxt(s, dtype=[('myint','i8'),('myfloat','f8'),
+    ... ('mystring','S5')], delimiter=",")
+    >>> data
+    array((1, 1.3, b'abcde'),
+          dtype=[('myint', '>> _ = s.seek(0) # needed for StringIO example only
+    >>> data = np.genfromtxt(s, dtype=None,
+    ... names = ['myint','myfloat','mystring'], delimiter=",")
+    >>> data
+    array((1, 1.3, 'abcde'),
+          dtype=[('myint', '>> _ = s.seek(0)
+    >>> data = np.genfromtxt(s, dtype="i8,f8,S5",
+    ... names=['myint','myfloat','mystring'], delimiter=",")
+    >>> data
+    array((1, 1.3, b'abcde'),
+          dtype=[('myint', '>> s = StringIO("11.3abcde")
+    >>> data = np.genfromtxt(s, dtype=None, names=['intvar','fltvar','strvar'],
+    ...     delimiter=[1,3,5])
+    >>> data
+    array((1, 1.3, 'abcde'),
+          dtype=[('intvar', '>> f = StringIO('''
+    ... text,# of chars
+    ... hello world,11
+    ... numpy,5''')
+    >>> np.genfromtxt(f, dtype='S12,S12', delimiter=',')
+    array([(b'text', b''), (b'hello world', b'11'), (b'numpy', b'5')],
+      dtype=[('f0', 'S12'), ('f1', 'S12')])
+
+    """
+
+    if like is not None:
+        return _genfromtxt_with_like(
+            like, fname, dtype=dtype, comments=comments, delimiter=delimiter,
+            skip_header=skip_header, skip_footer=skip_footer,
+            converters=converters, missing_values=missing_values,
+            filling_values=filling_values, usecols=usecols, names=names,
+            excludelist=excludelist, deletechars=deletechars,
+            replace_space=replace_space, autostrip=autostrip,
+            case_sensitive=case_sensitive, defaultfmt=defaultfmt,
+            unpack=unpack, usemask=usemask, loose=loose,
+            invalid_raise=invalid_raise, max_rows=max_rows, encoding=encoding,
+            ndmin=ndmin,
+        )
+
+    _ensure_ndmin_ndarray_check_param(ndmin)
+
+    if max_rows is not None:
+        if skip_footer:
+            raise ValueError(
+                    "The keywords 'skip_footer' and 'max_rows' can not be "
+                    "specified at the same time.")
+        if max_rows < 1:
+            raise ValueError("'max_rows' must be at least 1.")
+
+    if usemask:
+        from numpy.ma import MaskedArray, make_mask_descr
+    # Check the input dictionary of converters
+    user_converters = converters or {}
+    if not isinstance(user_converters, dict):
+        raise TypeError(
+            "The input argument 'converter' should be a valid dictionary "
+            "(got '%s' instead)" % type(user_converters))
+
+    if encoding == 'bytes':
+        encoding = None
+        byte_converters = True
+    else:
+        byte_converters = False
+
+    # Initialize the filehandle, the LineSplitter and the NameValidator
+    if isinstance(fname, os.PathLike):
+        fname = os.fspath(fname)
+    if isinstance(fname, str):
+        fid = np.lib._datasource.open(fname, 'rt', encoding=encoding)
+        fid_ctx = contextlib.closing(fid)
+    else:
+        fid = fname
+        fid_ctx = contextlib.nullcontext(fid)
+    try:
+        fhd = iter(fid)
+    except TypeError as e:
+        raise TypeError(
+            "fname must be a string, a filehandle, a sequence of strings,\n"
+            f"or an iterator of strings. Got {type(fname)} instead."
+        ) from e
+    with fid_ctx:
+        split_line = LineSplitter(delimiter=delimiter, comments=comments,
+                                  autostrip=autostrip, encoding=encoding)
+        validate_names = NameValidator(excludelist=excludelist,
+                                       deletechars=deletechars,
+                                       case_sensitive=case_sensitive,
+                                       replace_space=replace_space)
+
+        # Skip the first `skip_header` rows
+        try:
+            for i in range(skip_header):
+                next(fhd)
+
+            # Keep on until we find the first valid values
+            first_values = None
+
+            while not first_values:
+                first_line = _decode_line(next(fhd), encoding)
+                if (names is True) and (comments is not None):
+                    if comments in first_line:
+                        first_line = (
+                            ''.join(first_line.split(comments)[1:]))
+                first_values = split_line(first_line)
+        except StopIteration:
+            # return an empty array if the datafile is empty
+            first_line = ''
+            first_values = []
+            warnings.warn(
+                'genfromtxt: Empty input file: "%s"' % fname, stacklevel=2
+            )
+
+        # Should we take the first values as names ?
+        if names is True:
+            fval = first_values[0].strip()
+            if comments is not None:
+                if fval in comments:
+                    del first_values[0]
+
+        # Check the columns to use: make sure `usecols` is a list
+        if usecols is not None:
+            try:
+                usecols = [_.strip() for _ in usecols.split(",")]
+            except AttributeError:
+                try:
+                    usecols = list(usecols)
+                except TypeError:
+                    usecols = [usecols, ]
+        nbcols = len(usecols or first_values)
+
+        # Check the names and overwrite the dtype.names if needed
+        if names is True:
+            names = validate_names([str(_.strip()) for _ in first_values])
+            first_line = ''
+        elif _is_string_like(names):
+            names = validate_names([_.strip() for _ in names.split(',')])
+        elif names:
+            names = validate_names(names)
+        # Get the dtype
+        if dtype is not None:
+            dtype = easy_dtype(dtype, defaultfmt=defaultfmt, names=names,
+                               excludelist=excludelist,
+                               deletechars=deletechars,
+                               case_sensitive=case_sensitive,
+                               replace_space=replace_space)
+        # Make sure the names is a list (for 2.5)
+        if names is not None:
+            names = list(names)
+
+        if usecols:
+            for (i, current) in enumerate(usecols):
+                # if usecols is a list of names, convert to a list of indices
+                if _is_string_like(current):
+                    usecols[i] = names.index(current)
+                elif current < 0:
+                    usecols[i] = current + len(first_values)
+            # If the dtype is not None, make sure we update it
+            if (dtype is not None) and (len(dtype) > nbcols):
+                descr = dtype.descr
+                dtype = np.dtype([descr[_] for _ in usecols])
+                names = list(dtype.names)
+            # If `names` is not None, update the names
+            elif (names is not None) and (len(names) > nbcols):
+                names = [names[_] for _ in usecols]
+        elif (names is not None) and (dtype is not None):
+            names = list(dtype.names)
+
+        # Process the missing values ...............................
+        # Rename missing_values for convenience
+        user_missing_values = missing_values or ()
+        if isinstance(user_missing_values, bytes):
+            user_missing_values = user_missing_values.decode('latin1')
+
+        # Define the list of missing_values (one column: one list)
+        missing_values = [[''] for _ in range(nbcols)]
+
+        # We have a dictionary: process it field by field
+        if isinstance(user_missing_values, dict):
+            # Loop on the items
+            for (key, val) in user_missing_values.items():
+                # Is the key a string ?
+                if _is_string_like(key):
+                    try:
+                        # Transform it into an integer
+                        key = names.index(key)
+                    except ValueError:
+                        # We couldn't find it: the name must have been dropped
+                        continue
+                # Redefine the key as needed if it's a column number
+                if usecols:
+                    try:
+                        key = usecols.index(key)
+                    except ValueError:
+                        pass
+                # Transform the value as a list of string
+                if isinstance(val, (list, tuple)):
+                    val = [str(_) for _ in val]
+                else:
+                    val = [str(val), ]
+                # Add the value(s) to the current list of missing
+                if key is None:
+                    # None acts as default
+                    for miss in missing_values:
+                        miss.extend(val)
+                else:
+                    missing_values[key].extend(val)
+        # We have a sequence : each item matches a column
+        elif isinstance(user_missing_values, (list, tuple)):
+            for (value, entry) in zip(user_missing_values, missing_values):
+                value = str(value)
+                if value not in entry:
+                    entry.append(value)
+        # We have a string : apply it to all entries
+        elif isinstance(user_missing_values, str):
+            user_value = user_missing_values.split(",")
+            for entry in missing_values:
+                entry.extend(user_value)
+        # We have something else: apply it to all entries
+        else:
+            for entry in missing_values:
+                entry.extend([str(user_missing_values)])
+
+        # Process the filling_values ...............................
+        # Rename the input for convenience
+        user_filling_values = filling_values
+        if user_filling_values is None:
+            user_filling_values = []
+        # Define the default
+        filling_values = [None] * nbcols
+        # We have a dictionary : update each entry individually
+        if isinstance(user_filling_values, dict):
+            for (key, val) in user_filling_values.items():
+                if _is_string_like(key):
+                    try:
+                        # Transform it into an integer
+                        key = names.index(key)
+                    except ValueError:
+                        # We couldn't find it: the name must have been dropped
+                        continue
+                # Redefine the key if it's a column number
+                # and usecols is defined
+                if usecols:
+                    try:
+                        key = usecols.index(key)
+                    except ValueError:
+                        pass
+                # Add the value to the list
+                filling_values[key] = val
+        # We have a sequence : update on a one-to-one basis
+        elif isinstance(user_filling_values, (list, tuple)):
+            n = len(user_filling_values)
+            if (n <= nbcols):
+                filling_values[:n] = user_filling_values
+            else:
+                filling_values = user_filling_values[:nbcols]
+        # We have something else : use it for all entries
+        else:
+            filling_values = [user_filling_values] * nbcols
+
+        # Initialize the converters ................................
+        if dtype is None:
+            # Note: we can't use a [...]*nbcols, as we would have 3 times
+            # the same converter, instead of 3 different converters.
+            converters = [
+                StringConverter(None, missing_values=miss, default=fill)
+                for (miss, fill) in zip(missing_values, filling_values)
+            ]
+        else:
+            dtype_flat = flatten_dtype(dtype, flatten_base=True)
+            # Initialize the converters
+            if len(dtype_flat) > 1:
+                # Flexible type : get a converter from each dtype
+                zipit = zip(dtype_flat, missing_values, filling_values)
+                converters = [StringConverter(dt,
+                                              locked=True,
+                                              missing_values=miss,
+                                              default=fill)
+                              for (dt, miss, fill) in zipit]
+            else:
+                # Set to a default converter (but w/ different missing values)
+                zipit = zip(missing_values, filling_values)
+                converters = [StringConverter(dtype,
+                                              locked=True,
+                                              missing_values=miss,
+                                              default=fill)
+                              for (miss, fill) in zipit]
+        # Update the converters to use the user-defined ones
+        uc_update = []
+        for (j, conv) in user_converters.items():
+            # If the converter is specified by column names,
+            # use the index instead
+            if _is_string_like(j):
+                try:
+                    j = names.index(j)
+                    i = j
+                except ValueError:
+                    continue
+            elif usecols:
+                try:
+                    i = usecols.index(j)
+                except ValueError:
+                    # Unused converter specified
+                    continue
+            else:
+                i = j
+            # Find the value to test - first_line is not filtered by usecols:
+            if len(first_line):
+                testing_value = first_values[j]
+            else:
+                testing_value = None
+            if conv is bytes:
+                user_conv = asbytes
+            elif byte_converters:
+                # Converters may use decode to workaround numpy's old
+                # behavior, so encode the string again before passing
+                # to the user converter.
+                def tobytes_first(x, conv):
+                    if type(x) is bytes:
+                        return conv(x)
+                    return conv(x.encode("latin1"))
+                user_conv = functools.partial(tobytes_first, conv=conv)
+            else:
+                user_conv = conv
+            converters[i].update(user_conv, locked=True,
+                                 testing_value=testing_value,
+                                 default=filling_values[i],
+                                 missing_values=missing_values[i],)
+            uc_update.append((i, user_conv))
+        # Make sure we have the corrected keys in user_converters...
+        user_converters.update(uc_update)
+
+        # Fixme: possible error as following variable never used.
+        # miss_chars = [_.missing_values for _ in converters]
+
+        # Initialize the output lists ...
+        # ... rows
+        rows = []
+        append_to_rows = rows.append
+        # ... masks
+        if usemask:
+            masks = []
+            append_to_masks = masks.append
+        # ... invalid
+        invalid = []
+        append_to_invalid = invalid.append
+
+        # Parse each line
+        for (i, line) in enumerate(itertools.chain([first_line, ], fhd)):
+            values = split_line(line)
+            nbvalues = len(values)
+            # Skip an empty line
+            if nbvalues == 0:
+                continue
+            if usecols:
+                # Select only the columns we need
+                try:
+                    values = [values[_] for _ in usecols]
+                except IndexError:
+                    append_to_invalid((i + skip_header + 1, nbvalues))
+                    continue
+            elif nbvalues != nbcols:
+                append_to_invalid((i + skip_header + 1, nbvalues))
+                continue
+            # Store the values
+            append_to_rows(tuple(values))
+            if usemask:
+                append_to_masks(tuple([v.strip() in m
+                                       for (v, m) in zip(values,
+                                                         missing_values)]))
+            if len(rows) == max_rows:
+                break
+
+    # Upgrade the converters (if needed)
+    if dtype is None:
+        for (i, converter) in enumerate(converters):
+            current_column = [itemgetter(i)(_m) for _m in rows]
+            try:
+                converter.iterupgrade(current_column)
+            except ConverterLockError:
+                errmsg = "Converter #%i is locked and cannot be upgraded: " % i
+                current_column = map(itemgetter(i), rows)
+                for (j, value) in enumerate(current_column):
+                    try:
+                        converter.upgrade(value)
+                    except (ConverterError, ValueError):
+                        errmsg += "(occurred line #%i for value '%s')"
+                        errmsg %= (j + 1 + skip_header, value)
+                        raise ConverterError(errmsg)
+
+    # Check that we don't have invalid values
+    nbinvalid = len(invalid)
+    if nbinvalid > 0:
+        nbrows = len(rows) + nbinvalid - skip_footer
+        # Construct the error message
+        template = "    Line #%%i (got %%i columns instead of %i)" % nbcols
+        if skip_footer > 0:
+            nbinvalid_skipped = len([_ for _ in invalid
+                                     if _[0] > nbrows + skip_header])
+            invalid = invalid[:nbinvalid - nbinvalid_skipped]
+            skip_footer -= nbinvalid_skipped
+#
+#            nbrows -= skip_footer
+#            errmsg = [template % (i, nb)
+#                      for (i, nb) in invalid if i < nbrows]
+#        else:
+        errmsg = [template % (i, nb)
+                  for (i, nb) in invalid]
+        if len(errmsg):
+            errmsg.insert(0, "Some errors were detected !")
+            errmsg = "\n".join(errmsg)
+            # Raise an exception ?
+            if invalid_raise:
+                raise ValueError(errmsg)
+            # Issue a warning ?
+            else:
+                warnings.warn(errmsg, ConversionWarning, stacklevel=2)
+
+    # Strip the last skip_footer data
+    if skip_footer > 0:
+        rows = rows[:-skip_footer]
+        if usemask:
+            masks = masks[:-skip_footer]
+
+    # Convert each value according to the converter:
+    # We want to modify the list in place to avoid creating a new one...
+    if loose:
+        rows = list(
+            zip(*[[conv._loose_call(_r) for _r in map(itemgetter(i), rows)]
+                  for (i, conv) in enumerate(converters)]))
+    else:
+        rows = list(
+            zip(*[[conv._strict_call(_r) for _r in map(itemgetter(i), rows)]
+                  for (i, conv) in enumerate(converters)]))
+
+    # Reset the dtype
+    data = rows
+    if dtype is None:
+        # Get the dtypes from the types of the converters
+        column_types = [conv.type for conv in converters]
+        # Find the columns with strings...
+        strcolidx = [i for (i, v) in enumerate(column_types)
+                     if v == np.str_]
+
+        if byte_converters and strcolidx:
+            # convert strings back to bytes for backward compatibility
+            warnings.warn(
+                "Reading unicode strings without specifying the encoding "
+                "argument is deprecated. Set the encoding, use None for the "
+                "system default.",
+                np.exceptions.VisibleDeprecationWarning, stacklevel=2)
+
+            def encode_unicode_cols(row_tup):
+                row = list(row_tup)
+                for i in strcolidx:
+                    row[i] = row[i].encode('latin1')
+                return tuple(row)
+
+            try:
+                data = [encode_unicode_cols(r) for r in data]
+            except UnicodeEncodeError:
+                pass
+            else:
+                for i in strcolidx:
+                    column_types[i] = np.bytes_
+
+        # Update string types to be the right length
+        sized_column_types = column_types[:]
+        for i, col_type in enumerate(column_types):
+            if np.issubdtype(col_type, np.character):
+                n_chars = max(len(row[i]) for row in data)
+                sized_column_types[i] = (col_type, n_chars)
+
+        if names is None:
+            # If the dtype is uniform (before sizing strings)
+            base = {
+                c_type
+                for c, c_type in zip(converters, column_types)
+                if c._checked}
+            if len(base) == 1:
+                uniform_type, = base
+                (ddtype, mdtype) = (uniform_type, bool)
+            else:
+                ddtype = [(defaultfmt % i, dt)
+                          for (i, dt) in enumerate(sized_column_types)]
+                if usemask:
+                    mdtype = [(defaultfmt % i, bool)
+                              for (i, dt) in enumerate(sized_column_types)]
+        else:
+            ddtype = list(zip(names, sized_column_types))
+            mdtype = list(zip(names, [bool] * len(sized_column_types)))
+        output = np.array(data, dtype=ddtype)
+        if usemask:
+            outputmask = np.array(masks, dtype=mdtype)
+    else:
+        # Overwrite the initial dtype names if needed
+        if names and dtype.names is not None:
+            dtype.names = names
+        # Case 1. We have a structured type
+        if len(dtype_flat) > 1:
+            # Nested dtype, eg [('a', int), ('b', [('b0', int), ('b1', 'f4')])]
+            # First, create the array using a flattened dtype:
+            # [('a', int), ('b1', int), ('b2', float)]
+            # Then, view the array using the specified dtype.
+            if 'O' in (_.char for _ in dtype_flat):
+                if has_nested_fields(dtype):
+                    raise NotImplementedError(
+                        "Nested fields involving objects are not supported...")
+                else:
+                    output = np.array(data, dtype=dtype)
+            else:
+                rows = np.array(data, dtype=[('', _) for _ in dtype_flat])
+                output = rows.view(dtype)
+            # Now, process the rowmasks the same way
+            if usemask:
+                rowmasks = np.array(
+                    masks, dtype=np.dtype([('', bool) for t in dtype_flat]))
+                # Construct the new dtype
+                mdtype = make_mask_descr(dtype)
+                outputmask = rowmasks.view(mdtype)
+        # Case #2. We have a basic dtype
+        else:
+            # We used some user-defined converters
+            if user_converters:
+                ishomogeneous = True
+                descr = []
+                for i, ttype in enumerate([conv.type for conv in converters]):
+                    # Keep the dtype of the current converter
+                    if i in user_converters:
+                        ishomogeneous &= (ttype == dtype.type)
+                        if np.issubdtype(ttype, np.character):
+                            ttype = (ttype, max(len(row[i]) for row in data))
+                        descr.append(('', ttype))
+                    else:
+                        descr.append(('', dtype))
+                # So we changed the dtype ?
+                if not ishomogeneous:
+                    # We have more than one field
+                    if len(descr) > 1:
+                        dtype = np.dtype(descr)
+                    # We have only one field: drop the name if not needed.
+                    else:
+                        dtype = np.dtype(ttype)
+            #
+            output = np.array(data, dtype)
+            if usemask:
+                if dtype.names is not None:
+                    mdtype = [(_, bool) for _ in dtype.names]
+                else:
+                    mdtype = bool
+                outputmask = np.array(masks, dtype=mdtype)
+    # Try to take care of the missing data we missed
+    names = output.dtype.names
+    if usemask and names:
+        for (name, conv) in zip(names, converters):
+            missing_values = [conv(_) for _ in conv.missing_values
+                              if _ != '']
+            for mval in missing_values:
+                outputmask[name] |= (output[name] == mval)
+    # Construct the final array
+    if usemask:
+        output = output.view(MaskedArray)
+        output._mask = outputmask
+
+    output = _ensure_ndmin_ndarray(output, ndmin=ndmin)
+
+    if unpack:
+        if names is None:
+            return output.T
+        elif len(names) == 1:
+            # squeeze single-name dtypes too
+            return output[names[0]]
+        else:
+            # For structured arrays with multiple fields,
+            # return an array for each field.
+            return [output[field] for field in names]
+    return output
+
+
+_genfromtxt_with_like = array_function_dispatch()(genfromtxt)
+
+
+def recfromtxt(fname, **kwargs):
+    """
+    Load ASCII data from a file and return it in a record array.
+
+    If ``usemask=False`` a standard `recarray` is returned,
+    if ``usemask=True`` a MaskedRecords array is returned.
+
+    .. deprecated:: 2.0
+        Use `numpy.genfromtxt` instead.
+
+    Parameters
+    ----------
+    fname, kwargs : For a description of input parameters, see `genfromtxt`.
+
+    See Also
+    --------
+    numpy.genfromtxt : generic function
+
+    Notes
+    -----
+    By default, `dtype` is None, which means that the data-type of the output
+    array will be determined from the data.
+
+    """
+
+    # Deprecated in NumPy 2.0, 2023-07-11
+    warnings.warn(
+        "`recfromtxt` is deprecated, "
+        "use `numpy.genfromtxt` instead."
+        "(deprecated in NumPy 2.0)",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    kwargs.setdefault("dtype", None)
+    usemask = kwargs.get('usemask', False)
+    output = genfromtxt(fname, **kwargs)
+    if usemask:
+        from numpy.ma.mrecords import MaskedRecords
+        output = output.view(MaskedRecords)
+    else:
+        output = output.view(np.recarray)
+    return output
+
+
+def recfromcsv(fname, **kwargs):
+    """
+    Load ASCII data stored in a comma-separated file.
+
+    The returned array is a record array (if ``usemask=False``, see
+    `recarray`) or a masked record array (if ``usemask=True``,
+    see `ma.mrecords.MaskedRecords`).
+
+    .. deprecated:: 2.0
+        Use `numpy.genfromtxt` with comma as `delimiter` instead.
+
+    Parameters
+    ----------
+    fname, kwargs : For a description of input parameters, see `genfromtxt`.
+
+    See Also
+    --------
+    numpy.genfromtxt : generic function to load ASCII data.
+
+    Notes
+    -----
+    By default, `dtype` is None, which means that the data-type of the output
+    array will be determined from the data.
+
+    """
+
+    # Deprecated in NumPy 2.0, 2023-07-11
+    warnings.warn(
+        "`recfromcsv` is deprecated, "
+        "use `numpy.genfromtxt` with comma as `delimiter` instead. "
+        "(deprecated in NumPy 2.0)",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    # Set default kwargs for genfromtxt as relevant to csv import.
+    kwargs.setdefault("case_sensitive", "lower")
+    kwargs.setdefault("names", True)
+    kwargs.setdefault("delimiter", ",")
+    kwargs.setdefault("dtype", None)
+    output = genfromtxt(fname, **kwargs)
+
+    usemask = kwargs.get("usemask", False)
+    if usemask:
+        from numpy.ma.mrecords import MaskedRecords
+        output = output.view(MaskedRecords)
+    else:
+        output = output.view(np.recarray)
+    return output
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_npyio_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_npyio_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..16d009524875c092a7bd209c6b4432301f947080
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_npyio_impl.pyi
@@ -0,0 +1,285 @@
+import types
+import zipfile
+from collections.abc import Callable, Collection, Iterable, Iterator, Mapping, Sequence
+from re import Pattern
+from typing import IO, Any, ClassVar, Generic, Protocol, TypeAlias, overload, type_check_only
+from typing import Literal as L
+
+from _typeshed import StrOrBytesPath, StrPath, SupportsKeysAndGetItem, SupportsRead, SupportsWrite
+from typing_extensions import Self, TypeVar, deprecated, override
+
+import numpy as np
+from numpy._core.multiarray import packbits, unpackbits
+from numpy._typing import ArrayLike, DTypeLike, NDArray, _DTypeLike, _SupportsArrayFunc
+from numpy.ma.mrecords import MaskedRecords
+
+from ._datasource import DataSource as DataSource
+
+__all__ = [
+    "fromregex",
+    "genfromtxt",
+    "load",
+    "loadtxt",
+    "packbits",
+    "save",
+    "savetxt",
+    "savez",
+    "savez_compressed",
+    "unpackbits",
+]
+
+_T_co = TypeVar("_T_co", covariant=True)
+_SCT = TypeVar("_SCT", bound=np.generic)
+_SCT_co = TypeVar("_SCT_co", bound=np.generic, default=Any, covariant=True)
+
+_FName: TypeAlias = StrPath | Iterable[str] | Iterable[bytes]
+_FNameRead: TypeAlias = StrPath | SupportsRead[str] | SupportsRead[bytes]
+_FNameWriteBytes: TypeAlias = StrPath | SupportsWrite[bytes]
+_FNameWrite: TypeAlias = _FNameWriteBytes | SupportsWrite[str]
+
+@type_check_only
+class _SupportsReadSeek(SupportsRead[_T_co], Protocol[_T_co]):
+    def seek(self, offset: int, whence: int, /) -> object: ...
+
+class BagObj(Generic[_T_co]):
+    def __init__(self, /, obj: SupportsKeysAndGetItem[str, _T_co]) -> None: ...
+    def __getattribute__(self, key: str, /) -> _T_co: ...
+    def __dir__(self) -> list[str]: ...
+
+class NpzFile(Mapping[str, NDArray[_SCT_co]]):
+    _MAX_REPR_ARRAY_COUNT: ClassVar[int] = 5
+
+    zip: zipfile.ZipFile
+    fid: IO[str] | None
+    files: list[str]
+    allow_pickle: bool
+    pickle_kwargs: Mapping[str, Any] | None
+    f: BagObj[NpzFile[_SCT_co]]
+
+    #
+    def __init__(
+        self,
+        /,
+        fid: IO[Any],
+        own_fid: bool = False,
+        allow_pickle: bool = False,
+        pickle_kwargs: Mapping[str, object] | None = None,
+        *,
+        max_header_size: int = 10_000,
+    ) -> None: ...
+    def __del__(self) -> None: ...
+    def __enter__(self) -> Self: ...
+    def __exit__(self, cls: type[BaseException] | None, e: BaseException | None, tb: types.TracebackType | None, /) -> None: ...
+    @override
+    def __len__(self) -> int: ...
+    @override
+    def __iter__(self) -> Iterator[str]: ...
+    @override
+    def __getitem__(self, key: str, /) -> NDArray[_SCT_co]: ...
+    def close(self) -> None: ...
+
+# NOTE: Returns a `NpzFile` if file is a zip file;
+# returns an `ndarray`/`memmap` otherwise
+def load(
+    file: StrOrBytesPath | _SupportsReadSeek[bytes],
+    mmap_mode: L["r+", "r", "w+", "c"] | None = None,
+    allow_pickle: bool = False,
+    fix_imports: bool = True,
+    encoding: L["ASCII", "latin1", "bytes"] = "ASCII",
+    *,
+    max_header_size: int = 10_000,
+) -> Any: ...
+
+@overload
+def save(file: _FNameWriteBytes, arr: ArrayLike, allow_pickle: bool = True) -> None: ...
+@overload
+@deprecated("The 'fix_imports' flag is deprecated in NumPy 2.1.")
+def save(file: _FNameWriteBytes, arr: ArrayLike, allow_pickle: bool, fix_imports: bool) -> None: ...
+@overload
+@deprecated("The 'fix_imports' flag is deprecated in NumPy 2.1.")
+def save(file: _FNameWriteBytes, arr: ArrayLike, allow_pickle: bool = True, *, fix_imports: bool) -> None: ...
+
+#
+def savez(file: _FNameWriteBytes, *args: ArrayLike, allow_pickle: bool = True, **kwds: ArrayLike) -> None: ...
+
+#
+def savez_compressed(file: _FNameWriteBytes, *args: ArrayLike, allow_pickle: bool = True, **kwds: ArrayLike) -> None: ...
+
+# File-like objects only have to implement `__iter__` and,
+# optionally, `encoding`
+@overload
+def loadtxt(
+    fname: _FName,
+    dtype: None = None,
+    comments: str | Sequence[str] | None = "#",
+    delimiter: str | None = None,
+    converters: Mapping[int | str, Callable[[str], Any]] | Callable[[str], Any] | None = None,
+    skiprows: int = 0,
+    usecols: int | Sequence[int] | None = None,
+    unpack: bool = False,
+    ndmin: L[0, 1, 2] = 0,
+    encoding: str | None = None,
+    max_rows: int | None = None,
+    *,
+    quotechar: str | None = None,
+    like: _SupportsArrayFunc | None = None,
+) -> NDArray[np.float64]: ...
+@overload
+def loadtxt(
+    fname: _FName,
+    dtype: _DTypeLike[_SCT],
+    comments: str | Sequence[str] | None = "#",
+    delimiter: str | None = None,
+    converters: Mapping[int | str, Callable[[str], Any]] | Callable[[str], Any] | None = None,
+    skiprows: int = 0,
+    usecols: int | Sequence[int] | None = None,
+    unpack: bool = False,
+    ndmin: L[0, 1, 2] = 0,
+    encoding: str | None = None,
+    max_rows: int | None = None,
+    *,
+    quotechar: str | None = None,
+    like: _SupportsArrayFunc | None = None,
+) -> NDArray[_SCT]: ...
+@overload
+def loadtxt(
+    fname: _FName,
+    dtype: DTypeLike,
+    comments: str | Sequence[str] | None = "#",
+    delimiter: str | None = None,
+    converters: Mapping[int | str, Callable[[str], Any]] | Callable[[str], Any] | None = None,
+    skiprows: int = 0,
+    usecols: int | Sequence[int] | None = None,
+    unpack: bool = False,
+    ndmin: L[0, 1, 2] = 0,
+    encoding: str | None = None,
+    max_rows: int | None = None,
+    *,
+    quotechar: str | None = None,
+    like: _SupportsArrayFunc | None = None,
+) -> NDArray[Any]: ...
+
+def savetxt(
+    fname: _FNameWrite,
+    X: ArrayLike,
+    fmt: str | Sequence[str] = "%.18e",
+    delimiter: str = " ",
+    newline: str = "\n",
+    header: str = "",
+    footer: str = "",
+    comments: str = "# ",
+    encoding: str | None = None,
+) -> None: ...
+
+@overload
+def fromregex(
+    file: _FNameRead,
+    regexp: str | bytes | Pattern[Any],
+    dtype: _DTypeLike[_SCT],
+    encoding: str | None = None,
+) -> NDArray[_SCT]: ...
+@overload
+def fromregex(
+    file: _FNameRead,
+    regexp: str | bytes | Pattern[Any],
+    dtype: DTypeLike,
+    encoding: str | None = None,
+) -> NDArray[Any]: ...
+
+@overload
+def genfromtxt(
+    fname: _FName,
+    dtype: None = None,
+    comments: str = ...,
+    delimiter: str | int | Iterable[int] | None = ...,
+    skip_header: int = ...,
+    skip_footer: int = ...,
+    converters: Mapping[int | str, Callable[[str], Any]] | None = ...,
+    missing_values: Any = ...,
+    filling_values: Any = ...,
+    usecols: Sequence[int] | None = ...,
+    names: L[True] | str | Collection[str] | None = ...,
+    excludelist: Sequence[str] | None = ...,
+    deletechars: str = ...,
+    replace_space: str = ...,
+    autostrip: bool = ...,
+    case_sensitive: bool | L["upper", "lower"] = ...,
+    defaultfmt: str = ...,
+    unpack: bool | None = ...,
+    usemask: bool = ...,
+    loose: bool = ...,
+    invalid_raise: bool = ...,
+    max_rows: int | None = ...,
+    encoding: str = ...,
+    *,
+    ndmin: L[0, 1, 2] = ...,
+    like: _SupportsArrayFunc | None = ...,
+) -> NDArray[Any]: ...
+@overload
+def genfromtxt(
+    fname: _FName,
+    dtype: _DTypeLike[_SCT],
+    comments: str = ...,
+    delimiter: str | int | Iterable[int] | None = ...,
+    skip_header: int = ...,
+    skip_footer: int = ...,
+    converters: Mapping[int | str, Callable[[str], Any]] | None = ...,
+    missing_values: Any = ...,
+    filling_values: Any = ...,
+    usecols: Sequence[int] | None = ...,
+    names: L[True] | str | Collection[str] | None = ...,
+    excludelist: Sequence[str] | None = ...,
+    deletechars: str = ...,
+    replace_space: str = ...,
+    autostrip: bool = ...,
+    case_sensitive: bool | L["upper", "lower"] = ...,
+    defaultfmt: str = ...,
+    unpack: bool | None = ...,
+    usemask: bool = ...,
+    loose: bool = ...,
+    invalid_raise: bool = ...,
+    max_rows: int | None = ...,
+    encoding: str = ...,
+    *,
+    ndmin: L[0, 1, 2] = ...,
+    like: _SupportsArrayFunc | None = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def genfromtxt(
+    fname: _FName,
+    dtype: DTypeLike,
+    comments: str = ...,
+    delimiter: str | int | Iterable[int] | None = ...,
+    skip_header: int = ...,
+    skip_footer: int = ...,
+    converters: Mapping[int | str, Callable[[str], Any]] | None = ...,
+    missing_values: Any = ...,
+    filling_values: Any = ...,
+    usecols: Sequence[int] | None = ...,
+    names: L[True] | str | Collection[str] | None = ...,
+    excludelist: Sequence[str] | None = ...,
+    deletechars: str = ...,
+    replace_space: str = ...,
+    autostrip: bool = ...,
+    case_sensitive: bool | L["upper", "lower"] = ...,
+    defaultfmt: str = ...,
+    unpack: bool | None = ...,
+    usemask: bool = ...,
+    loose: bool = ...,
+    invalid_raise: bool = ...,
+    max_rows: int | None = ...,
+    encoding: str = ...,
+    *,
+    ndmin: L[0, 1, 2] = ...,
+    like: _SupportsArrayFunc | None = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def recfromtxt(fname: _FName, *, usemask: L[False] = False, **kwargs: object) -> np.recarray[Any, np.dtype[np.record]]: ...
+@overload
+def recfromtxt(fname: _FName, *, usemask: L[True], **kwargs: object) -> MaskedRecords[Any, np.dtype[np.void]]: ...
+
+@overload
+def recfromcsv(fname: _FName, *, usemask: L[False] = False, **kwargs: object) -> np.recarray[Any, np.dtype[np.record]]: ...
+@overload
+def recfromcsv(fname: _FName, *, usemask: L[True], **kwargs: object) -> MaskedRecords[Any, np.dtype[np.void]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_polynomial_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_polynomial_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..9bcf0a3d92a6c8301b25e480f11994ff6feb1efa
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_polynomial_impl.py
@@ -0,0 +1,1458 @@
+"""
+Functions to operate on polynomials.
+
+"""
+__all__ = ['poly', 'roots', 'polyint', 'polyder', 'polyadd',
+           'polysub', 'polymul', 'polydiv', 'polyval', 'poly1d',
+           'polyfit']
+
+import functools
+import re
+import warnings
+
+from .._utils import set_module
+import numpy._core.numeric as NX
+
+from numpy._core import (isscalar, abs, finfo, atleast_1d, hstack, dot, array,
+                        ones)
+from numpy._core import overrides
+from numpy.exceptions import RankWarning
+from numpy.lib._twodim_base_impl import diag, vander
+from numpy.lib._function_base_impl import trim_zeros
+from numpy.lib._type_check_impl import iscomplex, real, imag, mintypecode
+from numpy.linalg import eigvals, lstsq, inv
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+def _poly_dispatcher(seq_of_zeros):
+    return seq_of_zeros
+
+
+@array_function_dispatch(_poly_dispatcher)
+def poly(seq_of_zeros):
+    """
+    Find the coefficients of a polynomial with the given sequence of roots.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    Returns the coefficients of the polynomial whose leading coefficient
+    is one for the given sequence of zeros (multiple roots must be included
+    in the sequence as many times as their multiplicity; see Examples).
+    A square matrix (or array, which will be treated as a matrix) can also
+    be given, in which case the coefficients of the characteristic polynomial
+    of the matrix are returned.
+
+    Parameters
+    ----------
+    seq_of_zeros : array_like, shape (N,) or (N, N)
+        A sequence of polynomial roots, or a square array or matrix object.
+
+    Returns
+    -------
+    c : ndarray
+        1D array of polynomial coefficients from highest to lowest degree:
+
+        ``c[0] * x**(N) + c[1] * x**(N-1) + ... + c[N-1] * x + c[N]``
+        where c[0] always equals 1.
+
+    Raises
+    ------
+    ValueError
+        If input is the wrong shape (the input must be a 1-D or square
+        2-D array).
+
+    See Also
+    --------
+    polyval : Compute polynomial values.
+    roots : Return the roots of a polynomial.
+    polyfit : Least squares polynomial fit.
+    poly1d : A one-dimensional polynomial class.
+
+    Notes
+    -----
+    Specifying the roots of a polynomial still leaves one degree of
+    freedom, typically represented by an undetermined leading
+    coefficient. [1]_ In the case of this function, that coefficient -
+    the first one in the returned array - is always taken as one. (If
+    for some reason you have one other point, the only automatic way
+    presently to leverage that information is to use ``polyfit``.)
+
+    The characteristic polynomial, :math:`p_a(t)`, of an `n`-by-`n`
+    matrix **A** is given by
+
+    :math:`p_a(t) = \\mathrm{det}(t\\, \\mathbf{I} - \\mathbf{A})`,
+
+    where **I** is the `n`-by-`n` identity matrix. [2]_
+
+    References
+    ----------
+    .. [1] M. Sullivan and M. Sullivan, III, "Algebra and Trigonometry,
+       Enhanced With Graphing Utilities," Prentice-Hall, pg. 318, 1996.
+
+    .. [2] G. Strang, "Linear Algebra and Its Applications, 2nd Edition,"
+       Academic Press, pg. 182, 1980.
+
+    Examples
+    --------
+    Given a sequence of a polynomial's zeros:
+
+    >>> import numpy as np
+
+    >>> np.poly((0, 0, 0)) # Multiple root example
+    array([1., 0., 0., 0.])
+
+    The line above represents z**3 + 0*z**2 + 0*z + 0.
+
+    >>> np.poly((-1./2, 0, 1./2))
+    array([ 1.  ,  0.  , -0.25,  0.  ])
+
+    The line above represents z**3 - z/4
+
+    >>> np.poly((np.random.random(1)[0], 0, np.random.random(1)[0]))
+    array([ 1.        , -0.77086955,  0.08618131,  0.        ]) # random
+
+    Given a square array object:
+
+    >>> P = np.array([[0, 1./3], [-1./2, 0]])
+    >>> np.poly(P)
+    array([1.        , 0.        , 0.16666667])
+
+    Note how in all cases the leading coefficient is always 1.
+
+    """
+    seq_of_zeros = atleast_1d(seq_of_zeros)
+    sh = seq_of_zeros.shape
+
+    if len(sh) == 2 and sh[0] == sh[1] and sh[0] != 0:
+        seq_of_zeros = eigvals(seq_of_zeros)
+    elif len(sh) == 1:
+        dt = seq_of_zeros.dtype
+        # Let object arrays slip through, e.g. for arbitrary precision
+        if dt != object:
+            seq_of_zeros = seq_of_zeros.astype(mintypecode(dt.char))
+    else:
+        raise ValueError("input must be 1d or non-empty square 2d array.")
+
+    if len(seq_of_zeros) == 0:
+        return 1.0
+    dt = seq_of_zeros.dtype
+    a = ones((1,), dtype=dt)
+    for zero in seq_of_zeros:
+        a = NX.convolve(a, array([1, -zero], dtype=dt), mode='full')
+
+    if issubclass(a.dtype.type, NX.complexfloating):
+        # if complex roots are all complex conjugates, the roots are real.
+        roots = NX.asarray(seq_of_zeros, complex)
+        if NX.all(NX.sort(roots) == NX.sort(roots.conjugate())):
+            a = a.real.copy()
+
+    return a
+
+
+def _roots_dispatcher(p):
+    return p
+
+
+@array_function_dispatch(_roots_dispatcher)
+def roots(p):
+    """
+    Return the roots of a polynomial with coefficients given in p.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    The values in the rank-1 array `p` are coefficients of a polynomial.
+    If the length of `p` is n+1 then the polynomial is described by::
+
+      p[0] * x**n + p[1] * x**(n-1) + ... + p[n-1]*x + p[n]
+
+    Parameters
+    ----------
+    p : array_like
+        Rank-1 array of polynomial coefficients.
+
+    Returns
+    -------
+    out : ndarray
+        An array containing the roots of the polynomial.
+
+    Raises
+    ------
+    ValueError
+        When `p` cannot be converted to a rank-1 array.
+
+    See also
+    --------
+    poly : Find the coefficients of a polynomial with a given sequence
+           of roots.
+    polyval : Compute polynomial values.
+    polyfit : Least squares polynomial fit.
+    poly1d : A one-dimensional polynomial class.
+
+    Notes
+    -----
+    The algorithm relies on computing the eigenvalues of the
+    companion matrix [1]_.
+
+    References
+    ----------
+    .. [1] R. A. Horn & C. R. Johnson, *Matrix Analysis*.  Cambridge, UK:
+        Cambridge University Press, 1999, pp. 146-7.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> coeff = [3.2, 2, 1]
+    >>> np.roots(coeff)
+    array([-0.3125+0.46351241j, -0.3125-0.46351241j])
+
+    """
+    # If input is scalar, this makes it an array
+    p = atleast_1d(p)
+    if p.ndim != 1:
+        raise ValueError("Input must be a rank-1 array.")
+
+    # find non-zero array entries
+    non_zero = NX.nonzero(NX.ravel(p))[0]
+
+    # Return an empty array if polynomial is all zeros
+    if len(non_zero) == 0:
+        return NX.array([])
+
+    # find the number of trailing zeros -- this is the number of roots at 0.
+    trailing_zeros = len(p) - non_zero[-1] - 1
+
+    # strip leading and trailing zeros
+    p = p[int(non_zero[0]):int(non_zero[-1])+1]
+
+    # casting: if incoming array isn't floating point, make it floating point.
+    if not issubclass(p.dtype.type, (NX.floating, NX.complexfloating)):
+        p = p.astype(float)
+
+    N = len(p)
+    if N > 1:
+        # build companion matrix and find its eigenvalues (the roots)
+        A = diag(NX.ones((N-2,), p.dtype), -1)
+        A[0,:] = -p[1:] / p[0]
+        roots = eigvals(A)
+    else:
+        roots = NX.array([])
+
+    # tack any zeros onto the back of the array
+    roots = hstack((roots, NX.zeros(trailing_zeros, roots.dtype)))
+    return roots
+
+
+def _polyint_dispatcher(p, m=None, k=None):
+    return (p,)
+
+
+@array_function_dispatch(_polyint_dispatcher)
+def polyint(p, m=1, k=None):
+    """
+    Return an antiderivative (indefinite integral) of a polynomial.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    The returned order `m` antiderivative `P` of polynomial `p` satisfies
+    :math:`\\frac{d^m}{dx^m}P(x) = p(x)` and is defined up to `m - 1`
+    integration constants `k`. The constants determine the low-order
+    polynomial part
+
+    .. math:: \\frac{k_{m-1}}{0!} x^0 + \\ldots + \\frac{k_0}{(m-1)!}x^{m-1}
+
+    of `P` so that :math:`P^{(j)}(0) = k_{m-j-1}`.
+
+    Parameters
+    ----------
+    p : array_like or poly1d
+        Polynomial to integrate.
+        A sequence is interpreted as polynomial coefficients, see `poly1d`.
+    m : int, optional
+        Order of the antiderivative. (Default: 1)
+    k : list of `m` scalars or scalar, optional
+        Integration constants. They are given in the order of integration:
+        those corresponding to highest-order terms come first.
+
+        If ``None`` (default), all constants are assumed to be zero.
+        If `m = 1`, a single scalar can be given instead of a list.
+
+    See Also
+    --------
+    polyder : derivative of a polynomial
+    poly1d.integ : equivalent method
+
+    Examples
+    --------
+    The defining property of the antiderivative:
+
+    >>> import numpy as np
+
+    >>> p = np.poly1d([1,1,1])
+    >>> P = np.polyint(p)
+    >>> P
+     poly1d([ 0.33333333,  0.5       ,  1.        ,  0.        ]) # may vary
+    >>> np.polyder(P) == p
+    True
+
+    The integration constants default to zero, but can be specified:
+
+    >>> P = np.polyint(p, 3)
+    >>> P(0)
+    0.0
+    >>> np.polyder(P)(0)
+    0.0
+    >>> np.polyder(P, 2)(0)
+    0.0
+    >>> P = np.polyint(p, 3, k=[6,5,3])
+    >>> P
+    poly1d([ 0.01666667,  0.04166667,  0.16666667,  3. ,  5. ,  3. ]) # may vary
+
+    Note that 3 = 6 / 2!, and that the constants are given in the order of
+    integrations. Constant of the highest-order polynomial term comes first:
+
+    >>> np.polyder(P, 2)(0)
+    6.0
+    >>> np.polyder(P, 1)(0)
+    5.0
+    >>> P(0)
+    3.0
+
+    """
+    m = int(m)
+    if m < 0:
+        raise ValueError("Order of integral must be positive (see polyder)")
+    if k is None:
+        k = NX.zeros(m, float)
+    k = atleast_1d(k)
+    if len(k) == 1 and m > 1:
+        k = k[0]*NX.ones(m, float)
+    if len(k) < m:
+        raise ValueError(
+              "k must be a scalar or a rank-1 array of length 1 or >m.")
+
+    truepoly = isinstance(p, poly1d)
+    p = NX.asarray(p)
+    if m == 0:
+        if truepoly:
+            return poly1d(p)
+        return p
+    else:
+        # Note: this must work also with object and integer arrays
+        y = NX.concatenate((p.__truediv__(NX.arange(len(p), 0, -1)), [k[0]]))
+        val = polyint(y, m - 1, k=k[1:])
+        if truepoly:
+            return poly1d(val)
+        return val
+
+
+def _polyder_dispatcher(p, m=None):
+    return (p,)
+
+
+@array_function_dispatch(_polyder_dispatcher)
+def polyder(p, m=1):
+    """
+    Return the derivative of the specified order of a polynomial.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    Parameters
+    ----------
+    p : poly1d or sequence
+        Polynomial to differentiate.
+        A sequence is interpreted as polynomial coefficients, see `poly1d`.
+    m : int, optional
+        Order of differentiation (default: 1)
+
+    Returns
+    -------
+    der : poly1d
+        A new polynomial representing the derivative.
+
+    See Also
+    --------
+    polyint : Anti-derivative of a polynomial.
+    poly1d : Class for one-dimensional polynomials.
+
+    Examples
+    --------
+    The derivative of the polynomial :math:`x^3 + x^2 + x^1 + 1` is:
+
+    >>> import numpy as np
+
+    >>> p = np.poly1d([1,1,1,1])
+    >>> p2 = np.polyder(p)
+    >>> p2
+    poly1d([3, 2, 1])
+
+    which evaluates to:
+
+    >>> p2(2.)
+    17.0
+
+    We can verify this, approximating the derivative with
+    ``(f(x + h) - f(x))/h``:
+
+    >>> (p(2. + 0.001) - p(2.)) / 0.001
+    17.007000999997857
+
+    The fourth-order derivative of a 3rd-order polynomial is zero:
+
+    >>> np.polyder(p, 2)
+    poly1d([6, 2])
+    >>> np.polyder(p, 3)
+    poly1d([6])
+    >>> np.polyder(p, 4)
+    poly1d([0])
+
+    """
+    m = int(m)
+    if m < 0:
+        raise ValueError("Order of derivative must be positive (see polyint)")
+
+    truepoly = isinstance(p, poly1d)
+    p = NX.asarray(p)
+    n = len(p) - 1
+    y = p[:-1] * NX.arange(n, 0, -1)
+    if m == 0:
+        val = p
+    else:
+        val = polyder(y, m - 1)
+    if truepoly:
+        val = poly1d(val)
+    return val
+
+
+def _polyfit_dispatcher(x, y, deg, rcond=None, full=None, w=None, cov=None):
+    return (x, y, w)
+
+
+@array_function_dispatch(_polyfit_dispatcher)
+def polyfit(x, y, deg, rcond=None, full=False, w=None, cov=False):
+    """
+    Least squares polynomial fit.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    Fit a polynomial ``p(x) = p[0] * x**deg + ... + p[deg]`` of degree `deg`
+    to points `(x, y)`. Returns a vector of coefficients `p` that minimises
+    the squared error in the order `deg`, `deg-1`, ... `0`.
+
+    The `Polynomial.fit ` class
+    method is recommended for new code as it is more stable numerically. See
+    the documentation of the method for more information.
+
+    Parameters
+    ----------
+    x : array_like, shape (M,)
+        x-coordinates of the M sample points ``(x[i], y[i])``.
+    y : array_like, shape (M,) or (M, K)
+        y-coordinates of the sample points. Several data sets of sample
+        points sharing the same x-coordinates can be fitted at once by
+        passing in a 2D-array that contains one dataset per column.
+    deg : int
+        Degree of the fitting polynomial
+    rcond : float, optional
+        Relative condition number of the fit. Singular values smaller than
+        this relative to the largest singular value will be ignored. The
+        default value is len(x)*eps, where eps is the relative precision of
+        the float type, about 2e-16 in most cases.
+    full : bool, optional
+        Switch determining nature of return value. When it is False (the
+        default) just the coefficients are returned, when True diagnostic
+        information from the singular value decomposition is also returned.
+    w : array_like, shape (M,), optional
+        Weights. If not None, the weight ``w[i]`` applies to the unsquared
+        residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are
+        chosen so that the errors of the products ``w[i]*y[i]`` all have the
+        same variance.  When using inverse-variance weighting, use
+        ``w[i] = 1/sigma(y[i])``.  The default value is None.
+    cov : bool or str, optional
+        If given and not `False`, return not just the estimate but also its
+        covariance matrix. By default, the covariance are scaled by
+        chi2/dof, where dof = M - (deg + 1), i.e., the weights are presumed
+        to be unreliable except in a relative sense and everything is scaled
+        such that the reduced chi2 is unity. This scaling is omitted if
+        ``cov='unscaled'``, as is relevant for the case that the weights are
+        w = 1/sigma, with sigma known to be a reliable estimate of the
+        uncertainty.
+
+    Returns
+    -------
+    p : ndarray, shape (deg + 1,) or (deg + 1, K)
+        Polynomial coefficients, highest power first.  If `y` was 2-D, the
+        coefficients for `k`-th data set are in ``p[:,k]``.
+
+    residuals, rank, singular_values, rcond
+        These values are only returned if ``full == True``
+
+        - residuals -- sum of squared residuals of the least squares fit
+        - rank -- the effective rank of the scaled Vandermonde
+           coefficient matrix
+        - singular_values -- singular values of the scaled Vandermonde
+           coefficient matrix
+        - rcond -- value of `rcond`.
+
+        For more details, see `numpy.linalg.lstsq`.
+
+    V : ndarray, shape (deg + 1, deg + 1) or (deg + 1, deg + 1, K)
+        Present only if ``full == False`` and ``cov == True``.  The covariance
+        matrix of the polynomial coefficient estimates.  The diagonal of
+        this matrix are the variance estimates for each coefficient.  If y
+        is a 2-D array, then the covariance matrix for the `k`-th data set
+        are in ``V[:,:,k]``
+
+
+    Warns
+    -----
+    RankWarning
+        The rank of the coefficient matrix in the least-squares fit is
+        deficient. The warning is only raised if ``full == False``.
+
+        The warnings can be turned off by
+
+        >>> import warnings
+        >>> warnings.simplefilter('ignore', np.exceptions.RankWarning)
+
+    See Also
+    --------
+    polyval : Compute polynomial values.
+    linalg.lstsq : Computes a least-squares fit.
+    scipy.interpolate.UnivariateSpline : Computes spline fits.
+
+    Notes
+    -----
+    The solution minimizes the squared error
+
+    .. math::
+        E = \\sum_{j=0}^k |p(x_j) - y_j|^2
+
+    in the equations::
+
+        x[0]**n * p[0] + ... + x[0] * p[n-1] + p[n] = y[0]
+        x[1]**n * p[0] + ... + x[1] * p[n-1] + p[n] = y[1]
+        ...
+        x[k]**n * p[0] + ... + x[k] * p[n-1] + p[n] = y[k]
+
+    The coefficient matrix of the coefficients `p` is a Vandermonde matrix.
+
+    `polyfit` issues a `~exceptions.RankWarning` when the least-squares fit is
+    badly conditioned. This implies that the best fit is not well-defined due
+    to numerical error. The results may be improved by lowering the polynomial
+    degree or by replacing `x` by `x` - `x`.mean(). The `rcond` parameter
+    can also be set to a value smaller than its default, but the resulting
+    fit may be spurious: including contributions from the small singular
+    values can add numerical noise to the result.
+
+    Note that fitting polynomial coefficients is inherently badly conditioned
+    when the degree of the polynomial is large or the interval of sample points
+    is badly centered. The quality of the fit should always be checked in these
+    cases. When polynomial fits are not satisfactory, splines may be a good
+    alternative.
+
+    References
+    ----------
+    .. [1] Wikipedia, "Curve fitting",
+           https://en.wikipedia.org/wiki/Curve_fitting
+    .. [2] Wikipedia, "Polynomial interpolation",
+           https://en.wikipedia.org/wiki/Polynomial_interpolation
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import warnings
+    >>> x = np.array([0.0, 1.0, 2.0, 3.0,  4.0,  5.0])
+    >>> y = np.array([0.0, 0.8, 0.9, 0.1, -0.8, -1.0])
+    >>> z = np.polyfit(x, y, 3)
+    >>> z
+    array([ 0.08703704, -0.81349206,  1.69312169, -0.03968254]) # may vary
+
+    It is convenient to use `poly1d` objects for dealing with polynomials:
+
+    >>> p = np.poly1d(z)
+    >>> p(0.5)
+    0.6143849206349179 # may vary
+    >>> p(3.5)
+    -0.34732142857143039 # may vary
+    >>> p(10)
+    22.579365079365115 # may vary
+
+    High-order polynomials may oscillate wildly:
+
+    >>> with warnings.catch_warnings():
+    ...     warnings.simplefilter('ignore', np.exceptions.RankWarning)
+    ...     p30 = np.poly1d(np.polyfit(x, y, 30))
+    ...
+    >>> p30(4)
+    -0.80000000000000204 # may vary
+    >>> p30(5)
+    -0.99999999999999445 # may vary
+    >>> p30(4.5)
+    -0.10547061179440398 # may vary
+
+    Illustration:
+
+    >>> import matplotlib.pyplot as plt
+    >>> xp = np.linspace(-2, 6, 100)
+    >>> _ = plt.plot(x, y, '.', xp, p(xp), '-', xp, p30(xp), '--')
+    >>> plt.ylim(-2,2)
+    (-2, 2)
+    >>> plt.show()
+
+    """
+    order = int(deg) + 1
+    x = NX.asarray(x) + 0.0
+    y = NX.asarray(y) + 0.0
+
+    # check arguments.
+    if deg < 0:
+        raise ValueError("expected deg >= 0")
+    if x.ndim != 1:
+        raise TypeError("expected 1D vector for x")
+    if x.size == 0:
+        raise TypeError("expected non-empty vector for x")
+    if y.ndim < 1 or y.ndim > 2:
+        raise TypeError("expected 1D or 2D array for y")
+    if x.shape[0] != y.shape[0]:
+        raise TypeError("expected x and y to have same length")
+
+    # set rcond
+    if rcond is None:
+        rcond = len(x)*finfo(x.dtype).eps
+
+    # set up least squares equation for powers of x
+    lhs = vander(x, order)
+    rhs = y
+
+    # apply weighting
+    if w is not None:
+        w = NX.asarray(w) + 0.0
+        if w.ndim != 1:
+            raise TypeError("expected a 1-d array for weights")
+        if w.shape[0] != y.shape[0]:
+            raise TypeError("expected w and y to have the same length")
+        lhs *= w[:, NX.newaxis]
+        if rhs.ndim == 2:
+            rhs *= w[:, NX.newaxis]
+        else:
+            rhs *= w
+
+    # scale lhs to improve condition number and solve
+    scale = NX.sqrt((lhs*lhs).sum(axis=0))
+    lhs /= scale
+    c, resids, rank, s = lstsq(lhs, rhs, rcond)
+    c = (c.T/scale).T  # broadcast scale coefficients
+
+    # warn on rank reduction, which indicates an ill conditioned matrix
+    if rank != order and not full:
+        msg = "Polyfit may be poorly conditioned"
+        warnings.warn(msg, RankWarning, stacklevel=2)
+
+    if full:
+        return c, resids, rank, s, rcond
+    elif cov:
+        Vbase = inv(dot(lhs.T, lhs))
+        Vbase /= NX.outer(scale, scale)
+        if cov == "unscaled":
+            fac = 1
+        else:
+            if len(x) <= order:
+                raise ValueError("the number of data points must exceed order "
+                                 "to scale the covariance matrix")
+            # note, this used to be: fac = resids / (len(x) - order - 2.0)
+            # it was decided that the "- 2" (originally justified by "Bayesian
+            # uncertainty analysis") is not what the user expects
+            # (see gh-11196 and gh-11197)
+            fac = resids / (len(x) - order)
+        if y.ndim == 1:
+            return c, Vbase * fac
+        else:
+            return c, Vbase[:,:, NX.newaxis] * fac
+    else:
+        return c
+
+
+def _polyval_dispatcher(p, x):
+    return (p, x)
+
+
+@array_function_dispatch(_polyval_dispatcher)
+def polyval(p, x):
+    """
+    Evaluate a polynomial at specific values.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    If `p` is of length N, this function returns the value::
+
+        p[0]*x**(N-1) + p[1]*x**(N-2) + ... + p[N-2]*x + p[N-1]
+
+    If `x` is a sequence, then ``p(x)`` is returned for each element of ``x``.
+    If `x` is another polynomial then the composite polynomial ``p(x(t))``
+    is returned.
+
+    Parameters
+    ----------
+    p : array_like or poly1d object
+       1D array of polynomial coefficients (including coefficients equal
+       to zero) from highest degree to the constant term, or an
+       instance of poly1d.
+    x : array_like or poly1d object
+       A number, an array of numbers, or an instance of poly1d, at
+       which to evaluate `p`.
+
+    Returns
+    -------
+    values : ndarray or poly1d
+       If `x` is a poly1d instance, the result is the composition of the two
+       polynomials, i.e., `x` is "substituted" in `p` and the simplified
+       result is returned. In addition, the type of `x` - array_like or
+       poly1d - governs the type of the output: `x` array_like => `values`
+       array_like, `x` a poly1d object => `values` is also.
+
+    See Also
+    --------
+    poly1d: A polynomial class.
+
+    Notes
+    -----
+    Horner's scheme [1]_ is used to evaluate the polynomial. Even so,
+    for polynomials of high degree the values may be inaccurate due to
+    rounding errors. Use carefully.
+
+    If `x` is a subtype of `ndarray` the return value will be of the same type.
+
+    References
+    ----------
+    .. [1] I. N. Bronshtein, K. A. Semendyayev, and K. A. Hirsch (Eng.
+       trans. Ed.), *Handbook of Mathematics*, New York, Van Nostrand
+       Reinhold Co., 1985, pg. 720.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.polyval([3,0,1], 5)  # 3 * 5**2 + 0 * 5**1 + 1
+    76
+    >>> np.polyval([3,0,1], np.poly1d(5))
+    poly1d([76])
+    >>> np.polyval(np.poly1d([3,0,1]), 5)
+    76
+    >>> np.polyval(np.poly1d([3,0,1]), np.poly1d(5))
+    poly1d([76])
+
+    """
+    p = NX.asarray(p)
+    if isinstance(x, poly1d):
+        y = 0
+    else:
+        x = NX.asanyarray(x)
+        y = NX.zeros_like(x)
+    for pv in p:
+        y = y * x + pv
+    return y
+
+
+def _binary_op_dispatcher(a1, a2):
+    return (a1, a2)
+
+
+@array_function_dispatch(_binary_op_dispatcher)
+def polyadd(a1, a2):
+    """
+    Find the sum of two polynomials.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    Returns the polynomial resulting from the sum of two input polynomials.
+    Each input must be either a poly1d object or a 1D sequence of polynomial
+    coefficients, from highest to lowest degree.
+
+    Parameters
+    ----------
+    a1, a2 : array_like or poly1d object
+        Input polynomials.
+
+    Returns
+    -------
+    out : ndarray or poly1d object
+        The sum of the inputs. If either input is a poly1d object, then the
+        output is also a poly1d object. Otherwise, it is a 1D array of
+        polynomial coefficients from highest to lowest degree.
+
+    See Also
+    --------
+    poly1d : A one-dimensional polynomial class.
+    poly, polyadd, polyder, polydiv, polyfit, polyint, polysub, polyval
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.polyadd([1, 2], [9, 5, 4])
+    array([9, 6, 6])
+
+    Using poly1d objects:
+
+    >>> p1 = np.poly1d([1, 2])
+    >>> p2 = np.poly1d([9, 5, 4])
+    >>> print(p1)
+    1 x + 2
+    >>> print(p2)
+       2
+    9 x + 5 x + 4
+    >>> print(np.polyadd(p1, p2))
+       2
+    9 x + 6 x + 6
+
+    """
+    truepoly = (isinstance(a1, poly1d) or isinstance(a2, poly1d))
+    a1 = atleast_1d(a1)
+    a2 = atleast_1d(a2)
+    diff = len(a2) - len(a1)
+    if diff == 0:
+        val = a1 + a2
+    elif diff > 0:
+        zr = NX.zeros(diff, a1.dtype)
+        val = NX.concatenate((zr, a1)) + a2
+    else:
+        zr = NX.zeros(abs(diff), a2.dtype)
+        val = a1 + NX.concatenate((zr, a2))
+    if truepoly:
+        val = poly1d(val)
+    return val
+
+
+@array_function_dispatch(_binary_op_dispatcher)
+def polysub(a1, a2):
+    """
+    Difference (subtraction) of two polynomials.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    Given two polynomials `a1` and `a2`, returns ``a1 - a2``.
+    `a1` and `a2` can be either array_like sequences of the polynomials'
+    coefficients (including coefficients equal to zero), or `poly1d` objects.
+
+    Parameters
+    ----------
+    a1, a2 : array_like or poly1d
+        Minuend and subtrahend polynomials, respectively.
+
+    Returns
+    -------
+    out : ndarray or poly1d
+        Array or `poly1d` object of the difference polynomial's coefficients.
+
+    See Also
+    --------
+    polyval, polydiv, polymul, polyadd
+
+    Examples
+    --------
+    .. math:: (2 x^2 + 10 x - 2) - (3 x^2 + 10 x -4) = (-x^2 + 2)
+
+    >>> import numpy as np
+
+    >>> np.polysub([2, 10, -2], [3, 10, -4])
+    array([-1,  0,  2])
+
+    """
+    truepoly = (isinstance(a1, poly1d) or isinstance(a2, poly1d))
+    a1 = atleast_1d(a1)
+    a2 = atleast_1d(a2)
+    diff = len(a2) - len(a1)
+    if diff == 0:
+        val = a1 - a2
+    elif diff > 0:
+        zr = NX.zeros(diff, a1.dtype)
+        val = NX.concatenate((zr, a1)) - a2
+    else:
+        zr = NX.zeros(abs(diff), a2.dtype)
+        val = a1 - NX.concatenate((zr, a2))
+    if truepoly:
+        val = poly1d(val)
+    return val
+
+
+@array_function_dispatch(_binary_op_dispatcher)
+def polymul(a1, a2):
+    """
+    Find the product of two polynomials.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    Finds the polynomial resulting from the multiplication of the two input
+    polynomials. Each input must be either a poly1d object or a 1D sequence
+    of polynomial coefficients, from highest to lowest degree.
+
+    Parameters
+    ----------
+    a1, a2 : array_like or poly1d object
+        Input polynomials.
+
+    Returns
+    -------
+    out : ndarray or poly1d object
+        The polynomial resulting from the multiplication of the inputs. If
+        either inputs is a poly1d object, then the output is also a poly1d
+        object. Otherwise, it is a 1D array of polynomial coefficients from
+        highest to lowest degree.
+
+    See Also
+    --------
+    poly1d : A one-dimensional polynomial class.
+    poly, polyadd, polyder, polydiv, polyfit, polyint, polysub, polyval
+    convolve : Array convolution. Same output as polymul, but has parameter
+               for overlap mode.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.polymul([1, 2, 3], [9, 5, 1])
+    array([ 9, 23, 38, 17,  3])
+
+    Using poly1d objects:
+
+    >>> p1 = np.poly1d([1, 2, 3])
+    >>> p2 = np.poly1d([9, 5, 1])
+    >>> print(p1)
+       2
+    1 x + 2 x + 3
+    >>> print(p2)
+       2
+    9 x + 5 x + 1
+    >>> print(np.polymul(p1, p2))
+       4      3      2
+    9 x + 23 x + 38 x + 17 x + 3
+
+    """
+    truepoly = (isinstance(a1, poly1d) or isinstance(a2, poly1d))
+    a1, a2 = poly1d(a1), poly1d(a2)
+    val = NX.convolve(a1, a2)
+    if truepoly:
+        val = poly1d(val)
+    return val
+
+
+def _polydiv_dispatcher(u, v):
+    return (u, v)
+
+
+@array_function_dispatch(_polydiv_dispatcher)
+def polydiv(u, v):
+    """
+    Returns the quotient and remainder of polynomial division.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    The input arrays are the coefficients (including any coefficients
+    equal to zero) of the "numerator" (dividend) and "denominator"
+    (divisor) polynomials, respectively.
+
+    Parameters
+    ----------
+    u : array_like or poly1d
+        Dividend polynomial's coefficients.
+
+    v : array_like or poly1d
+        Divisor polynomial's coefficients.
+
+    Returns
+    -------
+    q : ndarray
+        Coefficients, including those equal to zero, of the quotient.
+    r : ndarray
+        Coefficients, including those equal to zero, of the remainder.
+
+    See Also
+    --------
+    poly, polyadd, polyder, polydiv, polyfit, polyint, polymul, polysub
+    polyval
+
+    Notes
+    -----
+    Both `u` and `v` must be 0-d or 1-d (ndim = 0 or 1), but `u.ndim` need
+    not equal `v.ndim`. In other words, all four possible combinations -
+    ``u.ndim = v.ndim = 0``, ``u.ndim = v.ndim = 1``,
+    ``u.ndim = 1, v.ndim = 0``, and ``u.ndim = 0, v.ndim = 1`` - work.
+
+    Examples
+    --------
+    .. math:: \\frac{3x^2 + 5x + 2}{2x + 1} = 1.5x + 1.75, remainder 0.25
+
+    >>> import numpy as np
+    >>> x = np.array([3.0, 5.0, 2.0])
+    >>> y = np.array([2.0, 1.0])
+    >>> np.polydiv(x, y)
+    (array([1.5 , 1.75]), array([0.25]))
+
+    """
+    truepoly = (isinstance(u, poly1d) or isinstance(v, poly1d))
+    u = atleast_1d(u) + 0.0
+    v = atleast_1d(v) + 0.0
+    # w has the common type
+    w = u[0] + v[0]
+    m = len(u) - 1
+    n = len(v) - 1
+    scale = 1. / v[0]
+    q = NX.zeros((max(m - n + 1, 1),), w.dtype)
+    r = u.astype(w.dtype)
+    for k in range(0, m-n+1):
+        d = scale * r[k]
+        q[k] = d
+        r[k:k+n+1] -= d*v
+    while NX.allclose(r[0], 0, rtol=1e-14) and (r.shape[-1] > 1):
+        r = r[1:]
+    if truepoly:
+        return poly1d(q), poly1d(r)
+    return q, r
+
+_poly_mat = re.compile(r"\*\*([0-9]*)")
+def _raise_power(astr, wrap=70):
+    n = 0
+    line1 = ''
+    line2 = ''
+    output = ' '
+    while True:
+        mat = _poly_mat.search(astr, n)
+        if mat is None:
+            break
+        span = mat.span()
+        power = mat.groups()[0]
+        partstr = astr[n:span[0]]
+        n = span[1]
+        toadd2 = partstr + ' '*(len(power)-1)
+        toadd1 = ' '*(len(partstr)-1) + power
+        if ((len(line2) + len(toadd2) > wrap) or
+                (len(line1) + len(toadd1) > wrap)):
+            output += line1 + "\n" + line2 + "\n "
+            line1 = toadd1
+            line2 = toadd2
+        else:
+            line2 += partstr + ' '*(len(power)-1)
+            line1 += ' '*(len(partstr)-1) + power
+    output += line1 + "\n" + line2
+    return output + astr[n:]
+
+
+@set_module('numpy')
+class poly1d:
+    """
+    A one-dimensional polynomial class.
+
+    .. note::
+       This forms part of the old polynomial API. Since version 1.4, the
+       new polynomial API defined in `numpy.polynomial` is preferred.
+       A summary of the differences can be found in the
+       :doc:`transition guide `.
+
+    A convenience class, used to encapsulate "natural" operations on
+    polynomials so that said operations may take on their customary
+    form in code (see Examples).
+
+    Parameters
+    ----------
+    c_or_r : array_like
+        The polynomial's coefficients, in decreasing powers, or if
+        the value of the second parameter is True, the polynomial's
+        roots (values where the polynomial evaluates to 0).  For example,
+        ``poly1d([1, 2, 3])`` returns an object that represents
+        :math:`x^2 + 2x + 3`, whereas ``poly1d([1, 2, 3], True)`` returns
+        one that represents :math:`(x-1)(x-2)(x-3) = x^3 - 6x^2 + 11x -6`.
+    r : bool, optional
+        If True, `c_or_r` specifies the polynomial's roots; the default
+        is False.
+    variable : str, optional
+        Changes the variable used when printing `p` from `x` to `variable`
+        (see Examples).
+
+    Examples
+    --------
+    Construct the polynomial :math:`x^2 + 2x + 3`:
+
+    >>> import numpy as np
+
+    >>> p = np.poly1d([1, 2, 3])
+    >>> print(np.poly1d(p))
+       2
+    1 x + 2 x + 3
+
+    Evaluate the polynomial at :math:`x = 0.5`:
+
+    >>> p(0.5)
+    4.25
+
+    Find the roots:
+
+    >>> p.r
+    array([-1.+1.41421356j, -1.-1.41421356j])
+    >>> p(p.r)
+    array([ -4.44089210e-16+0.j,  -4.44089210e-16+0.j]) # may vary
+
+    These numbers in the previous line represent (0, 0) to machine precision
+
+    Show the coefficients:
+
+    >>> p.c
+    array([1, 2, 3])
+
+    Display the order (the leading zero-coefficients are removed):
+
+    >>> p.order
+    2
+
+    Show the coefficient of the k-th power in the polynomial
+    (which is equivalent to ``p.c[-(i+1)]``):
+
+    >>> p[1]
+    2
+
+    Polynomials can be added, subtracted, multiplied, and divided
+    (returns quotient and remainder):
+
+    >>> p * p
+    poly1d([ 1,  4, 10, 12,  9])
+
+    >>> (p**3 + 4) / p
+    (poly1d([ 1.,  4., 10., 12.,  9.]), poly1d([4.]))
+
+    ``asarray(p)`` gives the coefficient array, so polynomials can be
+    used in all functions that accept arrays:
+
+    >>> p**2 # square of polynomial
+    poly1d([ 1,  4, 10, 12,  9])
+
+    >>> np.square(p) # square of individual coefficients
+    array([1, 4, 9])
+
+    The variable used in the string representation of `p` can be modified,
+    using the `variable` parameter:
+
+    >>> p = np.poly1d([1,2,3], variable='z')
+    >>> print(p)
+       2
+    1 z + 2 z + 3
+
+    Construct a polynomial from its roots:
+
+    >>> np.poly1d([1, 2], True)
+    poly1d([ 1., -3.,  2.])
+
+    This is the same polynomial as obtained by:
+
+    >>> np.poly1d([1, -1]) * np.poly1d([1, -2])
+    poly1d([ 1, -3,  2])
+
+    """
+    __hash__ = None
+
+    @property
+    def coeffs(self):
+        """ The polynomial coefficients """
+        return self._coeffs
+
+    @coeffs.setter
+    def coeffs(self, value):
+        # allowing this makes p.coeffs *= 2 legal
+        if value is not self._coeffs:
+            raise AttributeError("Cannot set attribute")
+
+    @property
+    def variable(self):
+        """ The name of the polynomial variable """
+        return self._variable
+
+    # calculated attributes
+    @property
+    def order(self):
+        """ The order or degree of the polynomial """
+        return len(self._coeffs) - 1
+
+    @property
+    def roots(self):
+        """ The roots of the polynomial, where self(x) == 0 """
+        return roots(self._coeffs)
+
+    # our internal _coeffs property need to be backed by __dict__['coeffs'] for
+    # scipy to work correctly.
+    @property
+    def _coeffs(self):
+        return self.__dict__['coeffs']
+    @_coeffs.setter
+    def _coeffs(self, coeffs):
+        self.__dict__['coeffs'] = coeffs
+
+    # alias attributes
+    r = roots
+    c = coef = coefficients = coeffs
+    o = order
+
+    def __init__(self, c_or_r, r=False, variable=None):
+        if isinstance(c_or_r, poly1d):
+            self._variable = c_or_r._variable
+            self._coeffs = c_or_r._coeffs
+
+            if set(c_or_r.__dict__) - set(self.__dict__):
+                msg = ("In the future extra properties will not be copied "
+                       "across when constructing one poly1d from another")
+                warnings.warn(msg, FutureWarning, stacklevel=2)
+                self.__dict__.update(c_or_r.__dict__)
+
+            if variable is not None:
+                self._variable = variable
+            return
+        if r:
+            c_or_r = poly(c_or_r)
+        c_or_r = atleast_1d(c_or_r)
+        if c_or_r.ndim > 1:
+            raise ValueError("Polynomial must be 1d only.")
+        c_or_r = trim_zeros(c_or_r, trim='f')
+        if len(c_or_r) == 0:
+            c_or_r = NX.array([0], dtype=c_or_r.dtype)
+        self._coeffs = c_or_r
+        if variable is None:
+            variable = 'x'
+        self._variable = variable
+
+    def __array__(self, t=None, copy=None):
+        if t:
+            return NX.asarray(self.coeffs, t, copy=copy)
+        else:
+            return NX.asarray(self.coeffs, copy=copy)
+
+    def __repr__(self):
+        vals = repr(self.coeffs)
+        vals = vals[6:-1]
+        return "poly1d(%s)" % vals
+
+    def __len__(self):
+        return self.order
+
+    def __str__(self):
+        thestr = "0"
+        var = self.variable
+
+        # Remove leading zeros
+        coeffs = self.coeffs[NX.logical_or.accumulate(self.coeffs != 0)]
+        N = len(coeffs)-1
+
+        def fmt_float(q):
+            s = '%.4g' % q
+            if s.endswith('.0000'):
+                s = s[:-5]
+            return s
+
+        for k, coeff in enumerate(coeffs):
+            if not iscomplex(coeff):
+                coefstr = fmt_float(real(coeff))
+            elif real(coeff) == 0:
+                coefstr = '%sj' % fmt_float(imag(coeff))
+            else:
+                coefstr = '(%s + %sj)' % (fmt_float(real(coeff)),
+                                          fmt_float(imag(coeff)))
+
+            power = (N-k)
+            if power == 0:
+                if coefstr != '0':
+                    newstr = '%s' % (coefstr,)
+                else:
+                    if k == 0:
+                        newstr = '0'
+                    else:
+                        newstr = ''
+            elif power == 1:
+                if coefstr == '0':
+                    newstr = ''
+                elif coefstr == 'b':
+                    newstr = var
+                else:
+                    newstr = '%s %s' % (coefstr, var)
+            else:
+                if coefstr == '0':
+                    newstr = ''
+                elif coefstr == 'b':
+                    newstr = '%s**%d' % (var, power,)
+                else:
+                    newstr = '%s %s**%d' % (coefstr, var, power)
+
+            if k > 0:
+                if newstr != '':
+                    if newstr.startswith('-'):
+                        thestr = "%s - %s" % (thestr, newstr[1:])
+                    else:
+                        thestr = "%s + %s" % (thestr, newstr)
+            else:
+                thestr = newstr
+        return _raise_power(thestr)
+
+    def __call__(self, val):
+        return polyval(self.coeffs, val)
+
+    def __neg__(self):
+        return poly1d(-self.coeffs)
+
+    def __pos__(self):
+        return self
+
+    def __mul__(self, other):
+        if isscalar(other):
+            return poly1d(self.coeffs * other)
+        else:
+            other = poly1d(other)
+            return poly1d(polymul(self.coeffs, other.coeffs))
+
+    def __rmul__(self, other):
+        if isscalar(other):
+            return poly1d(other * self.coeffs)
+        else:
+            other = poly1d(other)
+            return poly1d(polymul(self.coeffs, other.coeffs))
+
+    def __add__(self, other):
+        other = poly1d(other)
+        return poly1d(polyadd(self.coeffs, other.coeffs))
+
+    def __radd__(self, other):
+        other = poly1d(other)
+        return poly1d(polyadd(self.coeffs, other.coeffs))
+
+    def __pow__(self, val):
+        if not isscalar(val) or int(val) != val or val < 0:
+            raise ValueError("Power to non-negative integers only.")
+        res = [1]
+        for _ in range(val):
+            res = polymul(self.coeffs, res)
+        return poly1d(res)
+
+    def __sub__(self, other):
+        other = poly1d(other)
+        return poly1d(polysub(self.coeffs, other.coeffs))
+
+    def __rsub__(self, other):
+        other = poly1d(other)
+        return poly1d(polysub(other.coeffs, self.coeffs))
+
+    def __div__(self, other):
+        if isscalar(other):
+            return poly1d(self.coeffs/other)
+        else:
+            other = poly1d(other)
+            return polydiv(self, other)
+
+    __truediv__ = __div__
+
+    def __rdiv__(self, other):
+        if isscalar(other):
+            return poly1d(other/self.coeffs)
+        else:
+            other = poly1d(other)
+            return polydiv(other, self)
+
+    __rtruediv__ = __rdiv__
+
+    def __eq__(self, other):
+        if not isinstance(other, poly1d):
+            return NotImplemented
+        if self.coeffs.shape != other.coeffs.shape:
+            return False
+        return (self.coeffs == other.coeffs).all()
+
+    def __ne__(self, other):
+        if not isinstance(other, poly1d):
+            return NotImplemented
+        return not self.__eq__(other)
+
+
+    def __getitem__(self, val):
+        ind = self.order - val
+        if val > self.order:
+            return self.coeffs.dtype.type(0)
+        if val < 0:
+            return self.coeffs.dtype.type(0)
+        return self.coeffs[ind]
+
+    def __setitem__(self, key, val):
+        ind = self.order - key
+        if key < 0:
+            raise ValueError("Does not support negative powers.")
+        if key > self.order:
+            zr = NX.zeros(key-self.order, self.coeffs.dtype)
+            self._coeffs = NX.concatenate((zr, self.coeffs))
+            ind = 0
+        self._coeffs[ind] = val
+        return
+
+    def __iter__(self):
+        return iter(self.coeffs)
+
+    def integ(self, m=1, k=0):
+        """
+        Return an antiderivative (indefinite integral) of this polynomial.
+
+        Refer to `polyint` for full documentation.
+
+        See Also
+        --------
+        polyint : equivalent function
+
+        """
+        return poly1d(polyint(self.coeffs, m=m, k=k))
+
+    def deriv(self, m=1):
+        """
+        Return a derivative of this polynomial.
+
+        Refer to `polyder` for full documentation.
+
+        See Also
+        --------
+        polyder : equivalent function
+
+        """
+        return poly1d(polyder(self.coeffs, m=m))
+
+# Stuff to do on module import
+
+warnings.simplefilter('always', RankWarning)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_polynomial_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_polynomial_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..112ec33d2520426fdad8a5c034184c268fe68ea1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_polynomial_impl.pyi
@@ -0,0 +1,315 @@
+from typing import (
+    Literal as L,
+    TypeAlias,
+    overload,
+    Any,
+    SupportsInt,
+    SupportsIndex,
+    TypeVar,
+    NoReturn,
+)
+
+import numpy as np
+from numpy import (
+    poly1d,
+    unsignedinteger,
+    signedinteger,
+    floating,
+    complexfloating,
+    int32,
+    int64,
+    float64,
+    complex128,
+    object_,
+)
+
+from numpy._typing import (
+    NDArray,
+    ArrayLike,
+    _ArrayLikeBool_co,
+    _ArrayLikeUInt_co,
+    _ArrayLikeInt_co,
+    _ArrayLikeFloat_co,
+    _ArrayLikeComplex_co,
+    _ArrayLikeObject_co,
+)
+
+_T = TypeVar("_T")
+
+_2Tup: TypeAlias = tuple[_T, _T]
+_5Tup: TypeAlias = tuple[
+    _T,
+    NDArray[float64],
+    NDArray[int32],
+    NDArray[float64],
+    NDArray[float64],
+]
+
+__all__ = [
+    "poly",
+    "roots",
+    "polyint",
+    "polyder",
+    "polyadd",
+    "polysub",
+    "polymul",
+    "polydiv",
+    "polyval",
+    "poly1d",
+    "polyfit",
+]
+
+def poly(seq_of_zeros: ArrayLike) -> NDArray[floating[Any]]: ...
+
+# Returns either a float or complex array depending on the input values.
+# See `np.linalg.eigvals`.
+def roots(p: ArrayLike) -> NDArray[complexfloating[Any, Any]] | NDArray[floating[Any]]: ...
+
+@overload
+def polyint(
+    p: poly1d,
+    m: SupportsInt | SupportsIndex = ...,
+    k: None | _ArrayLikeComplex_co | _ArrayLikeObject_co = ...,
+) -> poly1d: ...
+@overload
+def polyint(
+    p: _ArrayLikeFloat_co,
+    m: SupportsInt | SupportsIndex = ...,
+    k: None | _ArrayLikeFloat_co = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def polyint(
+    p: _ArrayLikeComplex_co,
+    m: SupportsInt | SupportsIndex = ...,
+    k: None | _ArrayLikeComplex_co = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def polyint(
+    p: _ArrayLikeObject_co,
+    m: SupportsInt | SupportsIndex = ...,
+    k: None | _ArrayLikeObject_co = ...,
+) -> NDArray[object_]: ...
+
+@overload
+def polyder(
+    p: poly1d,
+    m: SupportsInt | SupportsIndex = ...,
+) -> poly1d: ...
+@overload
+def polyder(
+    p: _ArrayLikeFloat_co,
+    m: SupportsInt | SupportsIndex = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def polyder(
+    p: _ArrayLikeComplex_co,
+    m: SupportsInt | SupportsIndex = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def polyder(
+    p: _ArrayLikeObject_co,
+    m: SupportsInt | SupportsIndex = ...,
+) -> NDArray[object_]: ...
+
+@overload
+def polyfit(
+    x: _ArrayLikeFloat_co,
+    y: _ArrayLikeFloat_co,
+    deg: SupportsIndex | SupportsInt,
+    rcond: None | float = ...,
+    full: L[False] = ...,
+    w: None | _ArrayLikeFloat_co = ...,
+    cov: L[False] = ...,
+) -> NDArray[float64]: ...
+@overload
+def polyfit(
+    x: _ArrayLikeComplex_co,
+    y: _ArrayLikeComplex_co,
+    deg: SupportsIndex | SupportsInt,
+    rcond: None | float = ...,
+    full: L[False] = ...,
+    w: None | _ArrayLikeFloat_co = ...,
+    cov: L[False] = ...,
+) -> NDArray[complex128]: ...
+@overload
+def polyfit(
+    x: _ArrayLikeFloat_co,
+    y: _ArrayLikeFloat_co,
+    deg: SupportsIndex | SupportsInt,
+    rcond: None | float = ...,
+    full: L[False] = ...,
+    w: None | _ArrayLikeFloat_co = ...,
+    cov: L[True, "unscaled"] = ...,
+) -> _2Tup[NDArray[float64]]: ...
+@overload
+def polyfit(
+    x: _ArrayLikeComplex_co,
+    y: _ArrayLikeComplex_co,
+    deg: SupportsIndex | SupportsInt,
+    rcond: None | float = ...,
+    full: L[False] = ...,
+    w: None | _ArrayLikeFloat_co = ...,
+    cov: L[True, "unscaled"] = ...,
+) -> _2Tup[NDArray[complex128]]: ...
+@overload
+def polyfit(
+    x: _ArrayLikeFloat_co,
+    y: _ArrayLikeFloat_co,
+    deg: SupportsIndex | SupportsInt,
+    rcond: None | float = ...,
+    full: L[True] = ...,
+    w: None | _ArrayLikeFloat_co = ...,
+    cov: bool | L["unscaled"] = ...,
+) -> _5Tup[NDArray[float64]]: ...
+@overload
+def polyfit(
+    x: _ArrayLikeComplex_co,
+    y: _ArrayLikeComplex_co,
+    deg: SupportsIndex | SupportsInt,
+    rcond: None | float = ...,
+    full: L[True] = ...,
+    w: None | _ArrayLikeFloat_co = ...,
+    cov: bool | L["unscaled"] = ...,
+) -> _5Tup[NDArray[complex128]]: ...
+
+@overload
+def polyval(
+    p: _ArrayLikeBool_co,
+    x: _ArrayLikeBool_co,
+) -> NDArray[int64]: ...
+@overload
+def polyval(
+    p: _ArrayLikeUInt_co,
+    x: _ArrayLikeUInt_co,
+) -> NDArray[unsignedinteger[Any]]: ...
+@overload
+def polyval(
+    p: _ArrayLikeInt_co,
+    x: _ArrayLikeInt_co,
+) -> NDArray[signedinteger[Any]]: ...
+@overload
+def polyval(
+    p: _ArrayLikeFloat_co,
+    x: _ArrayLikeFloat_co,
+) -> NDArray[floating[Any]]: ...
+@overload
+def polyval(
+    p: _ArrayLikeComplex_co,
+    x: _ArrayLikeComplex_co,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def polyval(
+    p: _ArrayLikeObject_co,
+    x: _ArrayLikeObject_co,
+) -> NDArray[object_]: ...
+
+@overload
+def polyadd(
+    a1: poly1d,
+    a2: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+) -> poly1d: ...
+@overload
+def polyadd(
+    a1: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+    a2: poly1d,
+) -> poly1d: ...
+@overload
+def polyadd(
+    a1: _ArrayLikeBool_co,
+    a2: _ArrayLikeBool_co,
+) -> NDArray[np.bool]: ...
+@overload
+def polyadd(
+    a1: _ArrayLikeUInt_co,
+    a2: _ArrayLikeUInt_co,
+) -> NDArray[unsignedinteger[Any]]: ...
+@overload
+def polyadd(
+    a1: _ArrayLikeInt_co,
+    a2: _ArrayLikeInt_co,
+) -> NDArray[signedinteger[Any]]: ...
+@overload
+def polyadd(
+    a1: _ArrayLikeFloat_co,
+    a2: _ArrayLikeFloat_co,
+) -> NDArray[floating[Any]]: ...
+@overload
+def polyadd(
+    a1: _ArrayLikeComplex_co,
+    a2: _ArrayLikeComplex_co,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def polyadd(
+    a1: _ArrayLikeObject_co,
+    a2: _ArrayLikeObject_co,
+) -> NDArray[object_]: ...
+
+@overload
+def polysub(
+    a1: poly1d,
+    a2: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+) -> poly1d: ...
+@overload
+def polysub(
+    a1: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+    a2: poly1d,
+) -> poly1d: ...
+@overload
+def polysub(
+    a1: _ArrayLikeBool_co,
+    a2: _ArrayLikeBool_co,
+) -> NoReturn: ...
+@overload
+def polysub(
+    a1: _ArrayLikeUInt_co,
+    a2: _ArrayLikeUInt_co,
+) -> NDArray[unsignedinteger[Any]]: ...
+@overload
+def polysub(
+    a1: _ArrayLikeInt_co,
+    a2: _ArrayLikeInt_co,
+) -> NDArray[signedinteger[Any]]: ...
+@overload
+def polysub(
+    a1: _ArrayLikeFloat_co,
+    a2: _ArrayLikeFloat_co,
+) -> NDArray[floating[Any]]: ...
+@overload
+def polysub(
+    a1: _ArrayLikeComplex_co,
+    a2: _ArrayLikeComplex_co,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def polysub(
+    a1: _ArrayLikeObject_co,
+    a2: _ArrayLikeObject_co,
+) -> NDArray[object_]: ...
+
+# NOTE: Not an alias, but they do have the same signature (that we can reuse)
+polymul = polyadd
+
+@overload
+def polydiv(
+    u: poly1d,
+    v: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+) -> _2Tup[poly1d]: ...
+@overload
+def polydiv(
+    u: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+    v: poly1d,
+) -> _2Tup[poly1d]: ...
+@overload
+def polydiv(
+    u: _ArrayLikeFloat_co,
+    v: _ArrayLikeFloat_co,
+) -> _2Tup[NDArray[floating[Any]]]: ...
+@overload
+def polydiv(
+    u: _ArrayLikeComplex_co,
+    v: _ArrayLikeComplex_co,
+) -> _2Tup[NDArray[complexfloating[Any, Any]]]: ...
+@overload
+def polydiv(
+    u: _ArrayLikeObject_co,
+    v: _ArrayLikeObject_co,
+) -> _2Tup[NDArray[Any]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_scimath_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_scimath_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..68e9cd2d5337ea8f7965b27e06f863a4e0cba7a6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_scimath_impl.py
@@ -0,0 +1,643 @@
+"""
+Wrapper functions to more user-friendly calling of certain math functions
+whose output data-type is different than the input data-type in certain
+domains of the input.
+
+For example, for functions like `log` with branch cuts, the versions in this
+module provide the mathematically valid answers in the complex plane::
+
+  >>> import math
+  >>> np.emath.log(-math.exp(1)) == (1+1j*math.pi)
+  True
+
+Similarly, `sqrt`, other base logarithms, `power` and trig functions are
+correctly handled.  See their respective docstrings for specific examples.
+
+"""
+import numpy._core.numeric as nx
+import numpy._core.numerictypes as nt
+from numpy._core.numeric import asarray, any
+from numpy._core.overrides import array_function_dispatch, set_module
+from numpy.lib._type_check_impl import isreal
+
+
+__all__ = [
+    'sqrt', 'log', 'log2', 'logn', 'log10', 'power', 'arccos', 'arcsin',
+    'arctanh'
+    ]
+
+
+_ln2 = nx.log(2.0)
+
+
+def _tocomplex(arr):
+    """Convert its input `arr` to a complex array.
+
+    The input is returned as a complex array of the smallest type that will fit
+    the original data: types like single, byte, short, etc. become csingle,
+    while others become cdouble.
+
+    A copy of the input is always made.
+
+    Parameters
+    ----------
+    arr : array
+
+    Returns
+    -------
+    array
+        An array with the same input data as the input but in complex form.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    First, consider an input of type short:
+
+    >>> a = np.array([1,2,3],np.short)
+
+    >>> ac = np.lib.scimath._tocomplex(a); ac
+    array([1.+0.j, 2.+0.j, 3.+0.j], dtype=complex64)
+
+    >>> ac.dtype
+    dtype('complex64')
+
+    If the input is of type double, the output is correspondingly of the
+    complex double type as well:
+
+    >>> b = np.array([1,2,3],np.double)
+
+    >>> bc = np.lib.scimath._tocomplex(b); bc
+    array([1.+0.j, 2.+0.j, 3.+0.j])
+
+    >>> bc.dtype
+    dtype('complex128')
+
+    Note that even if the input was complex to begin with, a copy is still
+    made, since the astype() method always copies:
+
+    >>> c = np.array([1,2,3],np.csingle)
+
+    >>> cc = np.lib.scimath._tocomplex(c); cc
+    array([1.+0.j,  2.+0.j,  3.+0.j], dtype=complex64)
+
+    >>> c *= 2; c
+    array([2.+0.j,  4.+0.j,  6.+0.j], dtype=complex64)
+
+    >>> cc
+    array([1.+0.j,  2.+0.j,  3.+0.j], dtype=complex64)
+    """
+    if issubclass(arr.dtype.type, (nt.single, nt.byte, nt.short, nt.ubyte,
+                                   nt.ushort, nt.csingle)):
+        return arr.astype(nt.csingle)
+    else:
+        return arr.astype(nt.cdouble)
+
+
+def _fix_real_lt_zero(x):
+    """Convert `x` to complex if it has real, negative components.
+
+    Otherwise, output is just the array version of the input (via asarray).
+
+    Parameters
+    ----------
+    x : array_like
+
+    Returns
+    -------
+    array
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.lib.scimath._fix_real_lt_zero([1,2])
+    array([1, 2])
+
+    >>> np.lib.scimath._fix_real_lt_zero([-1,2])
+    array([-1.+0.j,  2.+0.j])
+
+    """
+    x = asarray(x)
+    if any(isreal(x) & (x < 0)):
+        x = _tocomplex(x)
+    return x
+
+
+def _fix_int_lt_zero(x):
+    """Convert `x` to double if it has real, negative components.
+
+    Otherwise, output is just the array version of the input (via asarray).
+
+    Parameters
+    ----------
+    x : array_like
+
+    Returns
+    -------
+    array
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.lib.scimath._fix_int_lt_zero([1,2])
+    array([1, 2])
+
+    >>> np.lib.scimath._fix_int_lt_zero([-1,2])
+    array([-1.,  2.])
+    """
+    x = asarray(x)
+    if any(isreal(x) & (x < 0)):
+        x = x * 1.0
+    return x
+
+
+def _fix_real_abs_gt_1(x):
+    """Convert `x` to complex if it has real components x_i with abs(x_i)>1.
+
+    Otherwise, output is just the array version of the input (via asarray).
+
+    Parameters
+    ----------
+    x : array_like
+
+    Returns
+    -------
+    array
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.lib.scimath._fix_real_abs_gt_1([0,1])
+    array([0, 1])
+
+    >>> np.lib.scimath._fix_real_abs_gt_1([0,2])
+    array([0.+0.j, 2.+0.j])
+    """
+    x = asarray(x)
+    if any(isreal(x) & (abs(x) > 1)):
+        x = _tocomplex(x)
+    return x
+
+
+def _unary_dispatcher(x):
+    return (x,)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_unary_dispatcher)
+def sqrt(x):
+    """
+    Compute the square root of x.
+
+    For negative input elements, a complex value is returned
+    (unlike `numpy.sqrt` which returns NaN).
+
+    Parameters
+    ----------
+    x : array_like
+       The input value(s).
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The square root of `x`. If `x` was a scalar, so is `out`,
+       otherwise an array is returned.
+
+    See Also
+    --------
+    numpy.sqrt
+
+    Examples
+    --------
+    For real, non-negative inputs this works just like `numpy.sqrt`:
+
+    >>> import numpy as np
+
+    >>> np.emath.sqrt(1)
+    1.0
+    >>> np.emath.sqrt([1, 4])
+    array([1.,  2.])
+
+    But it automatically handles negative inputs:
+
+    >>> np.emath.sqrt(-1)
+    1j
+    >>> np.emath.sqrt([-1,4])
+    array([0.+1.j, 2.+0.j])
+
+    Different results are expected because:
+    floating point 0.0 and -0.0 are distinct.
+
+    For more control, explicitly use complex() as follows:
+
+    >>> np.emath.sqrt(complex(-4.0, 0.0))
+    2j
+    >>> np.emath.sqrt(complex(-4.0, -0.0))
+    -2j
+    """
+    x = _fix_real_lt_zero(x)
+    return nx.sqrt(x)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_unary_dispatcher)
+def log(x):
+    """
+    Compute the natural logarithm of `x`.
+
+    Return the "principal value" (for a description of this, see `numpy.log`)
+    of :math:`log_e(x)`. For real `x > 0`, this is a real number (``log(0)``
+    returns ``-inf`` and ``log(np.inf)`` returns ``inf``). Otherwise, the
+    complex principle value is returned.
+
+    Parameters
+    ----------
+    x : array_like
+       The value(s) whose log is (are) required.
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The log of the `x` value(s). If `x` was a scalar, so is `out`,
+       otherwise an array is returned.
+
+    See Also
+    --------
+    numpy.log
+
+    Notes
+    -----
+    For a log() that returns ``NAN`` when real `x < 0`, use `numpy.log`
+    (note, however, that otherwise `numpy.log` and this `log` are identical,
+    i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`, and,
+    notably, the complex principle value if ``x.imag != 0``).
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.emath.log(np.exp(1))
+    1.0
+
+    Negative arguments are handled "correctly" (recall that
+    ``exp(log(x)) == x`` does *not* hold for real ``x < 0``):
+
+    >>> np.emath.log(-np.exp(1)) == (1 + np.pi * 1j)
+    True
+
+    """
+    x = _fix_real_lt_zero(x)
+    return nx.log(x)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_unary_dispatcher)
+def log10(x):
+    """
+    Compute the logarithm base 10 of `x`.
+
+    Return the "principal value" (for a description of this, see
+    `numpy.log10`) of :math:`log_{10}(x)`. For real `x > 0`, this
+    is a real number (``log10(0)`` returns ``-inf`` and ``log10(np.inf)``
+    returns ``inf``). Otherwise, the complex principle value is returned.
+
+    Parameters
+    ----------
+    x : array_like or scalar
+       The value(s) whose log base 10 is (are) required.
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The log base 10 of the `x` value(s). If `x` was a scalar, so is `out`,
+       otherwise an array object is returned.
+
+    See Also
+    --------
+    numpy.log10
+
+    Notes
+    -----
+    For a log10() that returns ``NAN`` when real `x < 0`, use `numpy.log10`
+    (note, however, that otherwise `numpy.log10` and this `log10` are
+    identical, i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`,
+    and, notably, the complex principle value if ``x.imag != 0``).
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    (We set the printing precision so the example can be auto-tested)
+
+    >>> np.set_printoptions(precision=4)
+
+    >>> np.emath.log10(10**1)
+    1.0
+
+    >>> np.emath.log10([-10**1, -10**2, 10**2])
+    array([1.+1.3644j, 2.+1.3644j, 2.+0.j    ])
+
+    """
+    x = _fix_real_lt_zero(x)
+    return nx.log10(x)
+
+
+def _logn_dispatcher(n, x):
+    return (n, x,)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_logn_dispatcher)
+def logn(n, x):
+    """
+    Take log base n of x.
+
+    If `x` contains negative inputs, the answer is computed and returned in the
+    complex domain.
+
+    Parameters
+    ----------
+    n : array_like
+       The integer base(s) in which the log is taken.
+    x : array_like
+       The value(s) whose log base `n` is (are) required.
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The log base `n` of the `x` value(s). If `x` was a scalar, so is
+       `out`, otherwise an array is returned.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.set_printoptions(precision=4)
+
+    >>> np.emath.logn(2, [4, 8])
+    array([2., 3.])
+    >>> np.emath.logn(2, [-4, -8, 8])
+    array([2.+4.5324j, 3.+4.5324j, 3.+0.j    ])
+
+    """
+    x = _fix_real_lt_zero(x)
+    n = _fix_real_lt_zero(n)
+    return nx.log(x)/nx.log(n)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_unary_dispatcher)
+def log2(x):
+    """
+    Compute the logarithm base 2 of `x`.
+
+    Return the "principal value" (for a description of this, see
+    `numpy.log2`) of :math:`log_2(x)`. For real `x > 0`, this is
+    a real number (``log2(0)`` returns ``-inf`` and ``log2(np.inf)`` returns
+    ``inf``). Otherwise, the complex principle value is returned.
+
+    Parameters
+    ----------
+    x : array_like
+       The value(s) whose log base 2 is (are) required.
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The log base 2 of the `x` value(s). If `x` was a scalar, so is `out`,
+       otherwise an array is returned.
+
+    See Also
+    --------
+    numpy.log2
+
+    Notes
+    -----
+    For a log2() that returns ``NAN`` when real `x < 0`, use `numpy.log2`
+    (note, however, that otherwise `numpy.log2` and this `log2` are
+    identical, i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`,
+    and, notably, the complex principle value if ``x.imag != 0``).
+
+    Examples
+    --------
+
+    We set the printing precision so the example can be auto-tested:
+
+    >>> np.set_printoptions(precision=4)
+
+    >>> np.emath.log2(8)
+    3.0
+    >>> np.emath.log2([-4, -8, 8])
+    array([2.+4.5324j, 3.+4.5324j, 3.+0.j    ])
+
+    """
+    x = _fix_real_lt_zero(x)
+    return nx.log2(x)
+
+
+def _power_dispatcher(x, p):
+    return (x, p)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_power_dispatcher)
+def power(x, p):
+    """
+    Return x to the power p, (x**p).
+
+    If `x` contains negative values, the output is converted to the
+    complex domain.
+
+    Parameters
+    ----------
+    x : array_like
+        The input value(s).
+    p : array_like of ints
+        The power(s) to which `x` is raised. If `x` contains multiple values,
+        `p` has to either be a scalar, or contain the same number of values
+        as `x`. In the latter case, the result is
+        ``x[0]**p[0], x[1]**p[1], ...``.
+
+    Returns
+    -------
+    out : ndarray or scalar
+        The result of ``x**p``. If `x` and `p` are scalars, so is `out`,
+        otherwise an array is returned.
+
+    See Also
+    --------
+    numpy.power
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.set_printoptions(precision=4)
+
+    >>> np.emath.power(2, 2)
+    4
+
+    >>> np.emath.power([2, 4], 2)
+    array([ 4, 16])
+
+    >>> np.emath.power([2, 4], -2)
+    array([0.25  ,  0.0625])
+
+    >>> np.emath.power([-2, 4], 2)
+    array([ 4.-0.j, 16.+0.j])
+
+    >>> np.emath.power([2, 4], [2, 4])
+    array([ 4, 256])
+
+    """
+    x = _fix_real_lt_zero(x)
+    p = _fix_int_lt_zero(p)
+    return nx.power(x, p)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_unary_dispatcher)
+def arccos(x):
+    """
+    Compute the inverse cosine of x.
+
+    Return the "principal value" (for a description of this, see
+    `numpy.arccos`) of the inverse cosine of `x`. For real `x` such that
+    `abs(x) <= 1`, this is a real number in the closed interval
+    :math:`[0, \\pi]`.  Otherwise, the complex principle value is returned.
+
+    Parameters
+    ----------
+    x : array_like or scalar
+       The value(s) whose arccos is (are) required.
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The inverse cosine(s) of the `x` value(s). If `x` was a scalar, so
+       is `out`, otherwise an array object is returned.
+
+    See Also
+    --------
+    numpy.arccos
+
+    Notes
+    -----
+    For an arccos() that returns ``NAN`` when real `x` is not in the
+    interval ``[-1,1]``, use `numpy.arccos`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.set_printoptions(precision=4)
+
+    >>> np.emath.arccos(1) # a scalar is returned
+    0.0
+
+    >>> np.emath.arccos([1,2])
+    array([0.-0.j   , 0.-1.317j])
+
+    """
+    x = _fix_real_abs_gt_1(x)
+    return nx.arccos(x)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_unary_dispatcher)
+def arcsin(x):
+    """
+    Compute the inverse sine of x.
+
+    Return the "principal value" (for a description of this, see
+    `numpy.arcsin`) of the inverse sine of `x`. For real `x` such that
+    `abs(x) <= 1`, this is a real number in the closed interval
+    :math:`[-\\pi/2, \\pi/2]`.  Otherwise, the complex principle value is
+    returned.
+
+    Parameters
+    ----------
+    x : array_like or scalar
+       The value(s) whose arcsin is (are) required.
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The inverse sine(s) of the `x` value(s). If `x` was a scalar, so
+       is `out`, otherwise an array object is returned.
+
+    See Also
+    --------
+    numpy.arcsin
+
+    Notes
+    -----
+    For an arcsin() that returns ``NAN`` when real `x` is not in the
+    interval ``[-1,1]``, use `numpy.arcsin`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.set_printoptions(precision=4)
+
+    >>> np.emath.arcsin(0)
+    0.0
+
+    >>> np.emath.arcsin([0,1])
+    array([0.    , 1.5708])
+
+    """
+    x = _fix_real_abs_gt_1(x)
+    return nx.arcsin(x)
+
+
+@set_module('numpy.lib.scimath')
+@array_function_dispatch(_unary_dispatcher)
+def arctanh(x):
+    """
+    Compute the inverse hyperbolic tangent of `x`.
+
+    Return the "principal value" (for a description of this, see
+    `numpy.arctanh`) of ``arctanh(x)``. For real `x` such that
+    ``abs(x) < 1``, this is a real number.  If `abs(x) > 1`, or if `x` is
+    complex, the result is complex. Finally, `x = 1` returns``inf`` and
+    ``x=-1`` returns ``-inf``.
+
+    Parameters
+    ----------
+    x : array_like
+       The value(s) whose arctanh is (are) required.
+
+    Returns
+    -------
+    out : ndarray or scalar
+       The inverse hyperbolic tangent(s) of the `x` value(s). If `x` was
+       a scalar so is `out`, otherwise an array is returned.
+
+
+    See Also
+    --------
+    numpy.arctanh
+
+    Notes
+    -----
+    For an arctanh() that returns ``NAN`` when real `x` is not in the
+    interval ``(-1,1)``, use `numpy.arctanh` (this latter, however, does
+    return +/-inf for ``x = +/-1``).
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.set_printoptions(precision=4)
+
+    >>> np.emath.arctanh(0.5)
+    0.5493061443340549
+
+    >>> from numpy.testing import suppress_warnings
+    >>> with suppress_warnings() as sup:
+    ...     sup.filter(RuntimeWarning)
+    ...     np.emath.arctanh(np.eye(2))
+    array([[inf,  0.],
+           [ 0., inf]])
+    >>> np.emath.arctanh([1j])
+    array([0.+0.7854j])
+
+    """
+    x = _fix_real_abs_gt_1(x)
+    return nx.arctanh(x)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_scimath_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_scimath_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..43b7110b2923453110edce9942a0659508c03eb6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_scimath_impl.pyi
@@ -0,0 +1,94 @@
+from typing import overload, Any
+
+from numpy import complexfloating
+
+from numpy._typing import (
+    NDArray,
+    _ArrayLikeFloat_co,
+    _ArrayLikeComplex_co,
+    _ComplexLike_co,
+    _FloatLike_co,
+)
+
+__all__ = ["sqrt", "log", "log2", "logn", "log10", "power", "arccos", "arcsin", "arctanh"]
+
+@overload
+def sqrt(x: _FloatLike_co) -> Any: ...
+@overload
+def sqrt(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def sqrt(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def sqrt(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def log(x: _FloatLike_co) -> Any: ...
+@overload
+def log(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def log(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def log(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def log10(x: _FloatLike_co) -> Any: ...
+@overload
+def log10(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def log10(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def log10(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def log2(x: _FloatLike_co) -> Any: ...
+@overload
+def log2(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def log2(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def log2(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def logn(n: _FloatLike_co, x: _FloatLike_co) -> Any: ...
+@overload
+def logn(n: _ComplexLike_co, x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def logn(n: _ArrayLikeFloat_co, x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def logn(n: _ArrayLikeComplex_co, x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def power(x: _FloatLike_co, p: _FloatLike_co) -> Any: ...
+@overload
+def power(x: _ComplexLike_co, p: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def power(x: _ArrayLikeFloat_co, p: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def power(x: _ArrayLikeComplex_co, p: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def arccos(x: _FloatLike_co) -> Any: ...
+@overload
+def arccos(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def arccos(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def arccos(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def arcsin(x: _FloatLike_co) -> Any: ...
+@overload
+def arcsin(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def arcsin(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def arcsin(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def arctanh(x: _FloatLike_co) -> Any: ...
+@overload
+def arctanh(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
+@overload
+def arctanh(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
+@overload
+def arctanh(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_shape_base_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_shape_base_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..7d861bb6f2e00d1c39fb47701b511b2cb2319de1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_shape_base_impl.py
@@ -0,0 +1,1294 @@
+import functools
+import warnings
+
+import numpy._core.numeric as _nx
+from numpy._core.numeric import asarray, zeros, zeros_like, array, asanyarray
+from numpy._core.fromnumeric import reshape, transpose
+from numpy._core.multiarray import normalize_axis_index
+from numpy._core._multiarray_umath import _array_converter
+from numpy._core import overrides
+from numpy._core import vstack, atleast_3d
+from numpy._core.numeric import normalize_axis_tuple
+from numpy._core.overrides import set_module
+from numpy._core.shape_base import _arrays_for_stack_dispatcher
+from numpy.lib._index_tricks_impl import ndindex
+from numpy.matrixlib.defmatrix import matrix  # this raises all the right alarm bells
+
+
+__all__ = [
+    'column_stack', 'row_stack', 'dstack', 'array_split', 'split',
+    'hsplit', 'vsplit', 'dsplit', 'apply_over_axes', 'expand_dims',
+    'apply_along_axis', 'kron', 'tile', 'take_along_axis',
+    'put_along_axis'
+    ]
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+def _make_along_axis_idx(arr_shape, indices, axis):
+    # compute dimensions to iterate over
+    if not _nx.issubdtype(indices.dtype, _nx.integer):
+        raise IndexError('`indices` must be an integer array')
+    if len(arr_shape) != indices.ndim:
+        raise ValueError(
+            "`indices` and `arr` must have the same number of dimensions")
+    shape_ones = (1,) * indices.ndim
+    dest_dims = list(range(axis)) + [None] + list(range(axis+1, indices.ndim))
+
+    # build a fancy index, consisting of orthogonal aranges, with the
+    # requested index inserted at the right location
+    fancy_index = []
+    for dim, n in zip(dest_dims, arr_shape):
+        if dim is None:
+            fancy_index.append(indices)
+        else:
+            ind_shape = shape_ones[:dim] + (-1,) + shape_ones[dim+1:]
+            fancy_index.append(_nx.arange(n).reshape(ind_shape))
+
+    return tuple(fancy_index)
+
+
+def _take_along_axis_dispatcher(arr, indices, axis):
+    return (arr, indices)
+
+
+@array_function_dispatch(_take_along_axis_dispatcher)
+def take_along_axis(arr, indices, axis):
+    """
+    Take values from the input array by matching 1d index and data slices.
+
+    This iterates over matching 1d slices oriented along the specified axis in
+    the index and data arrays, and uses the former to look up values in the
+    latter. These slices can be different lengths.
+
+    Functions returning an index along an axis, like `argsort` and
+    `argpartition`, produce suitable indices for this function.
+
+    Parameters
+    ----------
+    arr : ndarray (Ni..., M, Nk...)
+        Source array
+    indices : ndarray (Ni..., J, Nk...)
+        Indices to take along each 1d slice of `arr`. This must match the
+        dimension of arr, but dimensions Ni and Nj only need to broadcast
+        against `arr`.
+    axis : int
+        The axis to take 1d slices along. If axis is None, the input array is
+        treated as if it had first been flattened to 1d, for consistency with
+        `sort` and `argsort`.
+
+    Returns
+    -------
+    out: ndarray (Ni..., J, Nk...)
+        The indexed result.
+
+    Notes
+    -----
+    This is equivalent to (but faster than) the following use of `ndindex` and
+    `s_`, which sets each of ``ii`` and ``kk`` to a tuple of indices::
+
+        Ni, M, Nk = a.shape[:axis], a.shape[axis], a.shape[axis+1:]
+        J = indices.shape[axis]  # Need not equal M
+        out = np.empty(Ni + (J,) + Nk)
+
+        for ii in ndindex(Ni):
+            for kk in ndindex(Nk):
+                a_1d       = a      [ii + s_[:,] + kk]
+                indices_1d = indices[ii + s_[:,] + kk]
+                out_1d     = out    [ii + s_[:,] + kk]
+                for j in range(J):
+                    out_1d[j] = a_1d[indices_1d[j]]
+
+    Equivalently, eliminating the inner loop, the last two lines would be::
+
+                out_1d[:] = a_1d[indices_1d]
+
+    See Also
+    --------
+    take : Take along an axis, using the same indices for every 1d slice
+    put_along_axis :
+        Put values into the destination array by matching 1d index and data slices
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    For this sample array
+
+    >>> a = np.array([[10, 30, 20], [60, 40, 50]])
+
+    We can sort either by using sort directly, or argsort and this function
+
+    >>> np.sort(a, axis=1)
+    array([[10, 20, 30],
+           [40, 50, 60]])
+    >>> ai = np.argsort(a, axis=1)
+    >>> ai
+    array([[0, 2, 1],
+           [1, 2, 0]])
+    >>> np.take_along_axis(a, ai, axis=1)
+    array([[10, 20, 30],
+           [40, 50, 60]])
+
+    The same works for max and min, if you maintain the trivial dimension
+    with ``keepdims``:
+
+    >>> np.max(a, axis=1, keepdims=True)
+    array([[30],
+           [60]])
+    >>> ai = np.argmax(a, axis=1, keepdims=True)
+    >>> ai
+    array([[1],
+           [0]])
+    >>> np.take_along_axis(a, ai, axis=1)
+    array([[30],
+           [60]])
+
+    If we want to get the max and min at the same time, we can stack the
+    indices first
+
+    >>> ai_min = np.argmin(a, axis=1, keepdims=True)
+    >>> ai_max = np.argmax(a, axis=1, keepdims=True)
+    >>> ai = np.concatenate([ai_min, ai_max], axis=1)
+    >>> ai
+    array([[0, 1],
+           [1, 0]])
+    >>> np.take_along_axis(a, ai, axis=1)
+    array([[10, 30],
+           [40, 60]])
+    """
+    # normalize inputs
+    if axis is None:
+        if indices.ndim != 1:
+            raise ValueError(
+                'when axis=None, `indices` must have a single dimension.')
+        arr = arr.flat
+        arr_shape = (len(arr),)  # flatiter has no .shape
+        axis = 0
+    else:
+        axis = normalize_axis_index(axis, arr.ndim)
+        arr_shape = arr.shape
+
+    # use the fancy index
+    return arr[_make_along_axis_idx(arr_shape, indices, axis)]
+
+
+def _put_along_axis_dispatcher(arr, indices, values, axis):
+    return (arr, indices, values)
+
+
+@array_function_dispatch(_put_along_axis_dispatcher)
+def put_along_axis(arr, indices, values, axis):
+    """
+    Put values into the destination array by matching 1d index and data slices.
+
+    This iterates over matching 1d slices oriented along the specified axis in
+    the index and data arrays, and uses the former to place values into the
+    latter. These slices can be different lengths.
+
+    Functions returning an index along an axis, like `argsort` and
+    `argpartition`, produce suitable indices for this function.
+
+    Parameters
+    ----------
+    arr : ndarray (Ni..., M, Nk...)
+        Destination array.
+    indices : ndarray (Ni..., J, Nk...)
+        Indices to change along each 1d slice of `arr`. This must match the
+        dimension of arr, but dimensions in Ni and Nj may be 1 to broadcast
+        against `arr`.
+    values : array_like (Ni..., J, Nk...)
+        values to insert at those indices. Its shape and dimension are
+        broadcast to match that of `indices`.
+    axis : int
+        The axis to take 1d slices along. If axis is None, the destination
+        array is treated as if a flattened 1d view had been created of it.
+
+    Notes
+    -----
+    This is equivalent to (but faster than) the following use of `ndindex` and
+    `s_`, which sets each of ``ii`` and ``kk`` to a tuple of indices::
+
+        Ni, M, Nk = a.shape[:axis], a.shape[axis], a.shape[axis+1:]
+        J = indices.shape[axis]  # Need not equal M
+
+        for ii in ndindex(Ni):
+            for kk in ndindex(Nk):
+                a_1d       = a      [ii + s_[:,] + kk]
+                indices_1d = indices[ii + s_[:,] + kk]
+                values_1d  = values [ii + s_[:,] + kk]
+                for j in range(J):
+                    a_1d[indices_1d[j]] = values_1d[j]
+
+    Equivalently, eliminating the inner loop, the last two lines would be::
+
+                a_1d[indices_1d] = values_1d
+
+    See Also
+    --------
+    take_along_axis :
+        Take values from the input array by matching 1d index and data slices
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    For this sample array
+
+    >>> a = np.array([[10, 30, 20], [60, 40, 50]])
+
+    We can replace the maximum values with:
+
+    >>> ai = np.argmax(a, axis=1, keepdims=True)
+    >>> ai
+    array([[1],
+           [0]])
+    >>> np.put_along_axis(a, ai, 99, axis=1)
+    >>> a
+    array([[10, 99, 20],
+           [99, 40, 50]])
+
+    """
+    # normalize inputs
+    if axis is None:
+        if indices.ndim != 1:
+            raise ValueError(
+                'when axis=None, `indices` must have a single dimension.')
+        arr = arr.flat
+        axis = 0
+        arr_shape = (len(arr),)  # flatiter has no .shape
+    else:
+        axis = normalize_axis_index(axis, arr.ndim)
+        arr_shape = arr.shape
+
+    # use the fancy index
+    arr[_make_along_axis_idx(arr_shape, indices, axis)] = values
+
+
+def _apply_along_axis_dispatcher(func1d, axis, arr, *args, **kwargs):
+    return (arr,)
+
+
+@array_function_dispatch(_apply_along_axis_dispatcher)
+def apply_along_axis(func1d, axis, arr, *args, **kwargs):
+    """
+    Apply a function to 1-D slices along the given axis.
+
+    Execute `func1d(a, *args, **kwargs)` where `func1d` operates on 1-D arrays
+    and `a` is a 1-D slice of `arr` along `axis`.
+
+    This is equivalent to (but faster than) the following use of `ndindex` and
+    `s_`, which sets each of ``ii``, ``jj``, and ``kk`` to a tuple of indices::
+
+        Ni, Nk = a.shape[:axis], a.shape[axis+1:]
+        for ii in ndindex(Ni):
+            for kk in ndindex(Nk):
+                f = func1d(arr[ii + s_[:,] + kk])
+                Nj = f.shape
+                for jj in ndindex(Nj):
+                    out[ii + jj + kk] = f[jj]
+
+    Equivalently, eliminating the inner loop, this can be expressed as::
+
+        Ni, Nk = a.shape[:axis], a.shape[axis+1:]
+        for ii in ndindex(Ni):
+            for kk in ndindex(Nk):
+                out[ii + s_[...,] + kk] = func1d(arr[ii + s_[:,] + kk])
+
+    Parameters
+    ----------
+    func1d : function (M,) -> (Nj...)
+        This function should accept 1-D arrays. It is applied to 1-D
+        slices of `arr` along the specified axis.
+    axis : integer
+        Axis along which `arr` is sliced.
+    arr : ndarray (Ni..., M, Nk...)
+        Input array.
+    args : any
+        Additional arguments to `func1d`.
+    kwargs : any
+        Additional named arguments to `func1d`.
+
+    Returns
+    -------
+    out : ndarray  (Ni..., Nj..., Nk...)
+        The output array. The shape of `out` is identical to the shape of
+        `arr`, except along the `axis` dimension. This axis is removed, and
+        replaced with new dimensions equal to the shape of the return value
+        of `func1d`. So if `func1d` returns a scalar `out` will have one
+        fewer dimensions than `arr`.
+
+    See Also
+    --------
+    apply_over_axes : Apply a function repeatedly over multiple axes.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> def my_func(a):
+    ...     \"\"\"Average first and last element of a 1-D array\"\"\"
+    ...     return (a[0] + a[-1]) * 0.5
+    >>> b = np.array([[1,2,3], [4,5,6], [7,8,9]])
+    >>> np.apply_along_axis(my_func, 0, b)
+    array([4., 5., 6.])
+    >>> np.apply_along_axis(my_func, 1, b)
+    array([2.,  5.,  8.])
+
+    For a function that returns a 1D array, the number of dimensions in
+    `outarr` is the same as `arr`.
+
+    >>> b = np.array([[8,1,7], [4,3,9], [5,2,6]])
+    >>> np.apply_along_axis(sorted, 1, b)
+    array([[1, 7, 8],
+           [3, 4, 9],
+           [2, 5, 6]])
+
+    For a function that returns a higher dimensional array, those dimensions
+    are inserted in place of the `axis` dimension.
+
+    >>> b = np.array([[1,2,3], [4,5,6], [7,8,9]])
+    >>> np.apply_along_axis(np.diag, -1, b)
+    array([[[1, 0, 0],
+            [0, 2, 0],
+            [0, 0, 3]],
+           [[4, 0, 0],
+            [0, 5, 0],
+            [0, 0, 6]],
+           [[7, 0, 0],
+            [0, 8, 0],
+            [0, 0, 9]]])
+    """
+    # handle negative axes
+    conv = _array_converter(arr)
+    arr = conv[0]
+
+    nd = arr.ndim
+    axis = normalize_axis_index(axis, nd)
+
+    # arr, with the iteration axis at the end
+    in_dims = list(range(nd))
+    inarr_view = transpose(arr, in_dims[:axis] + in_dims[axis+1:] + [axis])
+
+    # compute indices for the iteration axes, and append a trailing ellipsis to
+    # prevent 0d arrays decaying to scalars, which fixes gh-8642
+    inds = ndindex(inarr_view.shape[:-1])
+    inds = (ind + (Ellipsis,) for ind in inds)
+
+    # invoke the function on the first item
+    try:
+        ind0 = next(inds)
+    except StopIteration:
+        raise ValueError(
+            'Cannot apply_along_axis when any iteration dimensions are 0'
+        ) from None
+    res = asanyarray(func1d(inarr_view[ind0], *args, **kwargs))
+
+    # build a buffer for storing evaluations of func1d.
+    # remove the requested axis, and add the new ones on the end.
+    # laid out so that each write is contiguous.
+    # for a tuple index inds, buff[inds] = func1d(inarr_view[inds])
+    if not isinstance(res, matrix):
+        buff = zeros_like(res, shape=inarr_view.shape[:-1] + res.shape)
+    else:
+        # Matrices are nasty with reshaping, so do not preserve them here.
+        buff = zeros(inarr_view.shape[:-1] + res.shape, dtype=res.dtype)
+
+    # permutation of axes such that out = buff.transpose(buff_permute)
+    buff_dims = list(range(buff.ndim))
+    buff_permute = (
+        buff_dims[0 : axis] +
+        buff_dims[buff.ndim-res.ndim : buff.ndim] +
+        buff_dims[axis : buff.ndim-res.ndim]
+    )
+
+    # save the first result, then compute and save all remaining results
+    buff[ind0] = res
+    for ind in inds:
+        buff[ind] = asanyarray(func1d(inarr_view[ind], *args, **kwargs))
+
+    res = transpose(buff, buff_permute)
+    return conv.wrap(res)
+
+
+def _apply_over_axes_dispatcher(func, a, axes):
+    return (a,)
+
+
+@array_function_dispatch(_apply_over_axes_dispatcher)
+def apply_over_axes(func, a, axes):
+    """
+    Apply a function repeatedly over multiple axes.
+
+    `func` is called as `res = func(a, axis)`, where `axis` is the first
+    element of `axes`.  The result `res` of the function call must have
+    either the same dimensions as `a` or one less dimension.  If `res`
+    has one less dimension than `a`, a dimension is inserted before
+    `axis`.  The call to `func` is then repeated for each axis in `axes`,
+    with `res` as the first argument.
+
+    Parameters
+    ----------
+    func : function
+        This function must take two arguments, `func(a, axis)`.
+    a : array_like
+        Input array.
+    axes : array_like
+        Axes over which `func` is applied; the elements must be integers.
+
+    Returns
+    -------
+    apply_over_axis : ndarray
+        The output array.  The number of dimensions is the same as `a`,
+        but the shape can be different.  This depends on whether `func`
+        changes the shape of its output with respect to its input.
+
+    See Also
+    --------
+    apply_along_axis :
+        Apply a function to 1-D slices of an array along the given axis.
+
+    Notes
+    -----
+    This function is equivalent to tuple axis arguments to reorderable ufuncs
+    with keepdims=True. Tuple axis arguments to ufuncs have been available since
+    version 1.7.0.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.arange(24).reshape(2,3,4)
+    >>> a
+    array([[[ 0,  1,  2,  3],
+            [ 4,  5,  6,  7],
+            [ 8,  9, 10, 11]],
+           [[12, 13, 14, 15],
+            [16, 17, 18, 19],
+            [20, 21, 22, 23]]])
+
+    Sum over axes 0 and 2. The result has same number of dimensions
+    as the original array:
+
+    >>> np.apply_over_axes(np.sum, a, [0,2])
+    array([[[ 60],
+            [ 92],
+            [124]]])
+
+    Tuple axis arguments to ufuncs are equivalent:
+
+    >>> np.sum(a, axis=(0,2), keepdims=True)
+    array([[[ 60],
+            [ 92],
+            [124]]])
+
+    """
+    val = asarray(a)
+    N = a.ndim
+    if array(axes).ndim == 0:
+        axes = (axes,)
+    for axis in axes:
+        if axis < 0:
+            axis = N + axis
+        args = (val, axis)
+        res = func(*args)
+        if res.ndim == val.ndim:
+            val = res
+        else:
+            res = expand_dims(res, axis)
+            if res.ndim == val.ndim:
+                val = res
+            else:
+                raise ValueError("function is not returning "
+                                 "an array of the correct shape")
+    return val
+
+
+def _expand_dims_dispatcher(a, axis):
+    return (a,)
+
+
+@array_function_dispatch(_expand_dims_dispatcher)
+def expand_dims(a, axis):
+    """
+    Expand the shape of an array.
+
+    Insert a new axis that will appear at the `axis` position in the expanded
+    array shape.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array.
+    axis : int or tuple of ints
+        Position in the expanded axes where the new axis (or axes) is placed.
+
+        .. deprecated:: 1.13.0
+            Passing an axis where ``axis > a.ndim`` will be treated as
+            ``axis == a.ndim``, and passing ``axis < -a.ndim - 1`` will
+            be treated as ``axis == 0``. This behavior is deprecated.
+
+    Returns
+    -------
+    result : ndarray
+        View of `a` with the number of dimensions increased.
+
+    See Also
+    --------
+    squeeze : The inverse operation, removing singleton dimensions
+    reshape : Insert, remove, and combine dimensions, and resize existing ones
+    atleast_1d, atleast_2d, atleast_3d
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.array([1, 2])
+    >>> x.shape
+    (2,)
+
+    The following is equivalent to ``x[np.newaxis, :]`` or ``x[np.newaxis]``:
+
+    >>> y = np.expand_dims(x, axis=0)
+    >>> y
+    array([[1, 2]])
+    >>> y.shape
+    (1, 2)
+
+    The following is equivalent to ``x[:, np.newaxis]``:
+
+    >>> y = np.expand_dims(x, axis=1)
+    >>> y
+    array([[1],
+           [2]])
+    >>> y.shape
+    (2, 1)
+
+    ``axis`` may also be a tuple:
+
+    >>> y = np.expand_dims(x, axis=(0, 1))
+    >>> y
+    array([[[1, 2]]])
+
+    >>> y = np.expand_dims(x, axis=(2, 0))
+    >>> y
+    array([[[1],
+            [2]]])
+
+    Note that some examples may use ``None`` instead of ``np.newaxis``.  These
+    are the same objects:
+
+    >>> np.newaxis is None
+    True
+
+    """
+    if isinstance(a, matrix):
+        a = asarray(a)
+    else:
+        a = asanyarray(a)
+
+    if type(axis) not in (tuple, list):
+        axis = (axis,)
+
+    out_ndim = len(axis) + a.ndim
+    axis = normalize_axis_tuple(axis, out_ndim)
+
+    shape_it = iter(a.shape)
+    shape = [1 if ax in axis else next(shape_it) for ax in range(out_ndim)]
+
+    return a.reshape(shape)
+
+
+# NOTE: Remove once deprecation period passes
+@set_module("numpy")
+def row_stack(tup, *, dtype=None, casting="same_kind"):
+    # Deprecated in NumPy 2.0, 2023-08-18
+    warnings.warn(
+        "`row_stack` alias is deprecated. "
+        "Use `np.vstack` directly.",
+        DeprecationWarning,
+        stacklevel=2
+    )
+    return vstack(tup, dtype=dtype, casting=casting)
+
+
+row_stack.__doc__ = vstack.__doc__
+
+
+def _column_stack_dispatcher(tup):
+    return _arrays_for_stack_dispatcher(tup)
+
+
+@array_function_dispatch(_column_stack_dispatcher)
+def column_stack(tup):
+    """
+    Stack 1-D arrays as columns into a 2-D array.
+
+    Take a sequence of 1-D arrays and stack them as columns
+    to make a single 2-D array. 2-D arrays are stacked as-is,
+    just like with `hstack`.  1-D arrays are turned into 2-D columns
+    first.
+
+    Parameters
+    ----------
+    tup : sequence of 1-D or 2-D arrays.
+        Arrays to stack. All of them must have the same first dimension.
+
+    Returns
+    -------
+    stacked : 2-D array
+        The array formed by stacking the given arrays.
+
+    See Also
+    --------
+    stack, hstack, vstack, concatenate
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array((1,2,3))
+    >>> b = np.array((2,3,4))
+    >>> np.column_stack((a,b))
+    array([[1, 2],
+           [2, 3],
+           [3, 4]])
+
+    """
+    arrays = []
+    for v in tup:
+        arr = asanyarray(v)
+        if arr.ndim < 2:
+            arr = array(arr, copy=None, subok=True, ndmin=2).T
+        arrays.append(arr)
+    return _nx.concatenate(arrays, 1)
+
+
+def _dstack_dispatcher(tup):
+    return _arrays_for_stack_dispatcher(tup)
+
+
+@array_function_dispatch(_dstack_dispatcher)
+def dstack(tup):
+    """
+    Stack arrays in sequence depth wise (along third axis).
+
+    This is equivalent to concatenation along the third axis after 2-D arrays
+    of shape `(M,N)` have been reshaped to `(M,N,1)` and 1-D arrays of shape
+    `(N,)` have been reshaped to `(1,N,1)`. Rebuilds arrays divided by
+    `dsplit`.
+
+    This function makes most sense for arrays with up to 3 dimensions. For
+    instance, for pixel-data with a height (first axis), width (second axis),
+    and r/g/b channels (third axis). The functions `concatenate`, `stack` and
+    `block` provide more general stacking and concatenation operations.
+
+    Parameters
+    ----------
+    tup : sequence of arrays
+        The arrays must have the same shape along all but the third axis.
+        1-D or 2-D arrays must have the same shape.
+
+    Returns
+    -------
+    stacked : ndarray
+        The array formed by stacking the given arrays, will be at least 3-D.
+
+    See Also
+    --------
+    concatenate : Join a sequence of arrays along an existing axis.
+    stack : Join a sequence of arrays along a new axis.
+    block : Assemble an nd-array from nested lists of blocks.
+    vstack : Stack arrays in sequence vertically (row wise).
+    hstack : Stack arrays in sequence horizontally (column wise).
+    column_stack : Stack 1-D arrays as columns into a 2-D array.
+    dsplit : Split array along third axis.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array((1,2,3))
+    >>> b = np.array((2,3,4))
+    >>> np.dstack((a,b))
+    array([[[1, 2],
+            [2, 3],
+            [3, 4]]])
+
+    >>> a = np.array([[1],[2],[3]])
+    >>> b = np.array([[2],[3],[4]])
+    >>> np.dstack((a,b))
+    array([[[1, 2]],
+           [[2, 3]],
+           [[3, 4]]])
+
+    """
+    arrs = atleast_3d(*tup)
+    if not isinstance(arrs, tuple):
+        arrs = (arrs,)
+    return _nx.concatenate(arrs, 2)
+
+
+def _replace_zero_by_x_arrays(sub_arys):
+    for i in range(len(sub_arys)):
+        if _nx.ndim(sub_arys[i]) == 0:
+            sub_arys[i] = _nx.empty(0, dtype=sub_arys[i].dtype)
+        elif _nx.sometrue(_nx.equal(_nx.shape(sub_arys[i]), 0)):
+            sub_arys[i] = _nx.empty(0, dtype=sub_arys[i].dtype)
+    return sub_arys
+
+
+def _array_split_dispatcher(ary, indices_or_sections, axis=None):
+    return (ary, indices_or_sections)
+
+
+@array_function_dispatch(_array_split_dispatcher)
+def array_split(ary, indices_or_sections, axis=0):
+    """
+    Split an array into multiple sub-arrays.
+
+    Please refer to the ``split`` documentation.  The only difference
+    between these functions is that ``array_split`` allows
+    `indices_or_sections` to be an integer that does *not* equally
+    divide the axis. For an array of length l that should be split
+    into n sections, it returns l % n sub-arrays of size l//n + 1
+    and the rest of size l//n.
+
+    See Also
+    --------
+    split : Split array into multiple sub-arrays of equal size.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(8.0)
+    >>> np.array_split(x, 3)
+    [array([0.,  1.,  2.]), array([3.,  4.,  5.]), array([6.,  7.])]
+
+    >>> x = np.arange(9)
+    >>> np.array_split(x, 4)
+    [array([0, 1, 2]), array([3, 4]), array([5, 6]), array([7, 8])]
+
+    """
+    try:
+        Ntotal = ary.shape[axis]
+    except AttributeError:
+        Ntotal = len(ary)
+    try:
+        # handle array case.
+        Nsections = len(indices_or_sections) + 1
+        div_points = [0] + list(indices_or_sections) + [Ntotal]
+    except TypeError:
+        # indices_or_sections is a scalar, not an array.
+        Nsections = int(indices_or_sections)
+        if Nsections <= 0:
+            raise ValueError('number sections must be larger than 0.') from None
+        Neach_section, extras = divmod(Ntotal, Nsections)
+        section_sizes = ([0] +
+                         extras * [Neach_section+1] +
+                         (Nsections-extras) * [Neach_section])
+        div_points = _nx.array(section_sizes, dtype=_nx.intp).cumsum()
+
+    sub_arys = []
+    sary = _nx.swapaxes(ary, axis, 0)
+    for i in range(Nsections):
+        st = div_points[i]
+        end = div_points[i + 1]
+        sub_arys.append(_nx.swapaxes(sary[st:end], axis, 0))
+
+    return sub_arys
+
+
+def _split_dispatcher(ary, indices_or_sections, axis=None):
+    return (ary, indices_or_sections)
+
+
+@array_function_dispatch(_split_dispatcher)
+def split(ary, indices_or_sections, axis=0):
+    """
+    Split an array into multiple sub-arrays as views into `ary`.
+
+    Parameters
+    ----------
+    ary : ndarray
+        Array to be divided into sub-arrays.
+    indices_or_sections : int or 1-D array
+        If `indices_or_sections` is an integer, N, the array will be divided
+        into N equal arrays along `axis`.  If such a split is not possible,
+        an error is raised.
+
+        If `indices_or_sections` is a 1-D array of sorted integers, the entries
+        indicate where along `axis` the array is split.  For example,
+        ``[2, 3]`` would, for ``axis=0``, result in
+
+        - ary[:2]
+        - ary[2:3]
+        - ary[3:]
+
+        If an index exceeds the dimension of the array along `axis`,
+        an empty sub-array is returned correspondingly.
+    axis : int, optional
+        The axis along which to split, default is 0.
+
+    Returns
+    -------
+    sub-arrays : list of ndarrays
+        A list of sub-arrays as views into `ary`.
+
+    Raises
+    ------
+    ValueError
+        If `indices_or_sections` is given as an integer, but
+        a split does not result in equal division.
+
+    See Also
+    --------
+    array_split : Split an array into multiple sub-arrays of equal or
+                  near-equal size.  Does not raise an exception if
+                  an equal division cannot be made.
+    hsplit : Split array into multiple sub-arrays horizontally (column-wise).
+    vsplit : Split array into multiple sub-arrays vertically (row wise).
+    dsplit : Split array into multiple sub-arrays along the 3rd axis (depth).
+    concatenate : Join a sequence of arrays along an existing axis.
+    stack : Join a sequence of arrays along a new axis.
+    hstack : Stack arrays in sequence horizontally (column wise).
+    vstack : Stack arrays in sequence vertically (row wise).
+    dstack : Stack arrays in sequence depth wise (along third dimension).
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(9.0)
+    >>> np.split(x, 3)
+    [array([0.,  1.,  2.]), array([3.,  4.,  5.]), array([6.,  7.,  8.])]
+
+    >>> x = np.arange(8.0)
+    >>> np.split(x, [3, 5, 6, 10])
+    [array([0.,  1.,  2.]),
+     array([3.,  4.]),
+     array([5.]),
+     array([6.,  7.]),
+     array([], dtype=float64)]
+
+    """
+    try:
+        len(indices_or_sections)
+    except TypeError:
+        sections = indices_or_sections
+        N = ary.shape[axis]
+        if N % sections:
+            raise ValueError(
+                'array split does not result in an equal division') from None
+    return array_split(ary, indices_or_sections, axis)
+
+
+def _hvdsplit_dispatcher(ary, indices_or_sections):
+    return (ary, indices_or_sections)
+
+
+@array_function_dispatch(_hvdsplit_dispatcher)
+def hsplit(ary, indices_or_sections):
+    """
+    Split an array into multiple sub-arrays horizontally (column-wise).
+
+    Please refer to the `split` documentation.  `hsplit` is equivalent
+    to `split` with ``axis=1``, the array is always split along the second
+    axis except for 1-D arrays, where it is split at ``axis=0``.
+
+    See Also
+    --------
+    split : Split an array into multiple sub-arrays of equal size.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(16.0).reshape(4, 4)
+    >>> x
+    array([[ 0.,   1.,   2.,   3.],
+           [ 4.,   5.,   6.,   7.],
+           [ 8.,   9.,  10.,  11.],
+           [12.,  13.,  14.,  15.]])
+    >>> np.hsplit(x, 2)
+    [array([[  0.,   1.],
+           [  4.,   5.],
+           [  8.,   9.],
+           [12.,  13.]]),
+     array([[  2.,   3.],
+           [  6.,   7.],
+           [10.,  11.],
+           [14.,  15.]])]
+    >>> np.hsplit(x, np.array([3, 6]))
+    [array([[ 0.,   1.,   2.],
+           [ 4.,   5.,   6.],
+           [ 8.,   9.,  10.],
+           [12.,  13.,  14.]]),
+     array([[ 3.],
+           [ 7.],
+           [11.],
+           [15.]]),
+     array([], shape=(4, 0), dtype=float64)]
+
+    With a higher dimensional array the split is still along the second axis.
+
+    >>> x = np.arange(8.0).reshape(2, 2, 2)
+    >>> x
+    array([[[0.,  1.],
+            [2.,  3.]],
+           [[4.,  5.],
+            [6.,  7.]]])
+    >>> np.hsplit(x, 2)
+    [array([[[0.,  1.]],
+           [[4.,  5.]]]),
+     array([[[2.,  3.]],
+           [[6.,  7.]]])]
+
+    With a 1-D array, the split is along axis 0.
+
+    >>> x = np.array([0, 1, 2, 3, 4, 5])
+    >>> np.hsplit(x, 2)
+    [array([0, 1, 2]), array([3, 4, 5])]
+
+    """
+    if _nx.ndim(ary) == 0:
+        raise ValueError('hsplit only works on arrays of 1 or more dimensions')
+    if ary.ndim > 1:
+        return split(ary, indices_or_sections, 1)
+    else:
+        return split(ary, indices_or_sections, 0)
+
+
+@array_function_dispatch(_hvdsplit_dispatcher)
+def vsplit(ary, indices_or_sections):
+    """
+    Split an array into multiple sub-arrays vertically (row-wise).
+
+    Please refer to the ``split`` documentation.  ``vsplit`` is equivalent
+    to ``split`` with `axis=0` (default), the array is always split along the
+    first axis regardless of the array dimension.
+
+    See Also
+    --------
+    split : Split an array into multiple sub-arrays of equal size.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(16.0).reshape(4, 4)
+    >>> x
+    array([[ 0.,   1.,   2.,   3.],
+           [ 4.,   5.,   6.,   7.],
+           [ 8.,   9.,  10.,  11.],
+           [12.,  13.,  14.,  15.]])
+    >>> np.vsplit(x, 2)
+    [array([[0., 1., 2., 3.],
+            [4., 5., 6., 7.]]),
+     array([[ 8.,  9., 10., 11.],
+            [12., 13., 14., 15.]])]
+    >>> np.vsplit(x, np.array([3, 6]))
+    [array([[ 0.,  1.,  2.,  3.],
+            [ 4.,  5.,  6.,  7.],
+            [ 8.,  9., 10., 11.]]),
+     array([[12., 13., 14., 15.]]),
+     array([], shape=(0, 4), dtype=float64)]
+
+    With a higher dimensional array the split is still along the first axis.
+
+    >>> x = np.arange(8.0).reshape(2, 2, 2)
+    >>> x
+    array([[[0.,  1.],
+            [2.,  3.]],
+           [[4.,  5.],
+            [6.,  7.]]])
+    >>> np.vsplit(x, 2)
+    [array([[[0., 1.],
+             [2., 3.]]]),
+     array([[[4., 5.],
+             [6., 7.]]])]
+
+    """
+    if _nx.ndim(ary) < 2:
+        raise ValueError('vsplit only works on arrays of 2 or more dimensions')
+    return split(ary, indices_or_sections, 0)
+
+
+@array_function_dispatch(_hvdsplit_dispatcher)
+def dsplit(ary, indices_or_sections):
+    """
+    Split array into multiple sub-arrays along the 3rd axis (depth).
+
+    Please refer to the `split` documentation.  `dsplit` is equivalent
+    to `split` with ``axis=2``, the array is always split along the third
+    axis provided the array dimension is greater than or equal to 3.
+
+    See Also
+    --------
+    split : Split an array into multiple sub-arrays of equal size.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(16.0).reshape(2, 2, 4)
+    >>> x
+    array([[[ 0.,   1.,   2.,   3.],
+            [ 4.,   5.,   6.,   7.]],
+           [[ 8.,   9.,  10.,  11.],
+            [12.,  13.,  14.,  15.]]])
+    >>> np.dsplit(x, 2)
+    [array([[[ 0.,  1.],
+            [ 4.,  5.]],
+           [[ 8.,  9.],
+            [12., 13.]]]), array([[[ 2.,  3.],
+            [ 6.,  7.]],
+           [[10., 11.],
+            [14., 15.]]])]
+    >>> np.dsplit(x, np.array([3, 6]))
+    [array([[[ 0.,   1.,   2.],
+            [ 4.,   5.,   6.]],
+           [[ 8.,   9.,  10.],
+            [12.,  13.,  14.]]]),
+     array([[[ 3.],
+            [ 7.]],
+           [[11.],
+            [15.]]]),
+    array([], shape=(2, 2, 0), dtype=float64)]
+    """
+    if _nx.ndim(ary) < 3:
+        raise ValueError('dsplit only works on arrays of 3 or more dimensions')
+    return split(ary, indices_or_sections, 2)
+
+
+def get_array_wrap(*args):
+    """Find the wrapper for the array with the highest priority.
+
+    In case of ties, leftmost wins. If no wrapper is found, return None.
+
+    .. deprecated:: 2.0
+    """
+
+    # Deprecated in NumPy 2.0, 2023-07-11
+    warnings.warn(
+        "`get_array_wrap` is deprecated. "
+        "(deprecated in NumPy 2.0)",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    wrappers = sorted((getattr(x, '__array_priority__', 0), -i,
+                 x.__array_wrap__) for i, x in enumerate(args)
+                                   if hasattr(x, '__array_wrap__'))
+    if wrappers:
+        return wrappers[-1][-1]
+    return None
+
+
+def _kron_dispatcher(a, b):
+    return (a, b)
+
+
+@array_function_dispatch(_kron_dispatcher)
+def kron(a, b):
+    """
+    Kronecker product of two arrays.
+
+    Computes the Kronecker product, a composite array made of blocks of the
+    second array scaled by the first.
+
+    Parameters
+    ----------
+    a, b : array_like
+
+    Returns
+    -------
+    out : ndarray
+
+    See Also
+    --------
+    outer : The outer product
+
+    Notes
+    -----
+    The function assumes that the number of dimensions of `a` and `b`
+    are the same, if necessary prepending the smallest with ones.
+    If ``a.shape = (r0,r1,..,rN)`` and ``b.shape = (s0,s1,...,sN)``,
+    the Kronecker product has shape ``(r0*s0, r1*s1, ..., rN*SN)``.
+    The elements are products of elements from `a` and `b`, organized
+    explicitly by::
+
+        kron(a,b)[k0,k1,...,kN] = a[i0,i1,...,iN] * b[j0,j1,...,jN]
+
+    where::
+
+        kt = it * st + jt,  t = 0,...,N
+
+    In the common 2-D case (N=1), the block structure can be visualized::
+
+        [[ a[0,0]*b,   a[0,1]*b,  ... , a[0,-1]*b  ],
+         [  ...                              ...   ],
+         [ a[-1,0]*b,  a[-1,1]*b, ... , a[-1,-1]*b ]]
+
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.kron([1,10,100], [5,6,7])
+    array([  5,   6,   7, ..., 500, 600, 700])
+    >>> np.kron([5,6,7], [1,10,100])
+    array([  5,  50, 500, ...,   7,  70, 700])
+
+    >>> np.kron(np.eye(2), np.ones((2,2)))
+    array([[1.,  1.,  0.,  0.],
+           [1.,  1.,  0.,  0.],
+           [0.,  0.,  1.,  1.],
+           [0.,  0.,  1.,  1.]])
+
+    >>> a = np.arange(100).reshape((2,5,2,5))
+    >>> b = np.arange(24).reshape((2,3,4))
+    >>> c = np.kron(a,b)
+    >>> c.shape
+    (2, 10, 6, 20)
+    >>> I = (1,3,0,2)
+    >>> J = (0,2,1)
+    >>> J1 = (0,) + J             # extend to ndim=4
+    >>> S1 = (1,) + b.shape
+    >>> K = tuple(np.array(I) * np.array(S1) + np.array(J1))
+    >>> c[K] == a[I]*b[J]
+    True
+
+    """
+    # Working:
+    # 1. Equalise the shapes by prepending smaller array with 1s
+    # 2. Expand shapes of both the arrays by adding new axes at
+    #    odd positions for 1st array and even positions for 2nd
+    # 3. Compute the product of the modified array
+    # 4. The inner most array elements now contain the rows of
+    #    the Kronecker product
+    # 5. Reshape the result to kron's shape, which is same as
+    #    product of shapes of the two arrays.
+    b = asanyarray(b)
+    a = array(a, copy=None, subok=True, ndmin=b.ndim)
+    is_any_mat = isinstance(a, matrix) or isinstance(b, matrix)
+    ndb, nda = b.ndim, a.ndim
+    nd = max(ndb, nda)
+
+    if (nda == 0 or ndb == 0):
+        return _nx.multiply(a, b)
+
+    as_ = a.shape
+    bs = b.shape
+    if not a.flags.contiguous:
+        a = reshape(a, as_)
+    if not b.flags.contiguous:
+        b = reshape(b, bs)
+
+    # Equalise the shapes by prepending smaller one with 1s
+    as_ = (1,)*max(0, ndb-nda) + as_
+    bs = (1,)*max(0, nda-ndb) + bs
+
+    # Insert empty dimensions
+    a_arr = expand_dims(a, axis=tuple(range(ndb-nda)))
+    b_arr = expand_dims(b, axis=tuple(range(nda-ndb)))
+
+    # Compute the product
+    a_arr = expand_dims(a_arr, axis=tuple(range(1, nd*2, 2)))
+    b_arr = expand_dims(b_arr, axis=tuple(range(0, nd*2, 2)))
+    # In case of `mat`, convert result to `array`
+    result = _nx.multiply(a_arr, b_arr, subok=(not is_any_mat))
+
+    # Reshape back
+    result = result.reshape(_nx.multiply(as_, bs))
+
+    return result if not is_any_mat else matrix(result, copy=False)
+
+
+def _tile_dispatcher(A, reps):
+    return (A, reps)
+
+
+@array_function_dispatch(_tile_dispatcher)
+def tile(A, reps):
+    """
+    Construct an array by repeating A the number of times given by reps.
+
+    If `reps` has length ``d``, the result will have dimension of
+    ``max(d, A.ndim)``.
+
+    If ``A.ndim < d``, `A` is promoted to be d-dimensional by prepending new
+    axes. So a shape (3,) array is promoted to (1, 3) for 2-D replication,
+    or shape (1, 1, 3) for 3-D replication. If this is not the desired
+    behavior, promote `A` to d-dimensions manually before calling this
+    function.
+
+    If ``A.ndim > d``, `reps` is promoted to `A`.ndim by prepending 1's to it.
+    Thus for an `A` of shape (2, 3, 4, 5), a `reps` of (2, 2) is treated as
+    (1, 1, 2, 2).
+
+    Note : Although tile may be used for broadcasting, it is strongly
+    recommended to use numpy's broadcasting operations and functions.
+
+    Parameters
+    ----------
+    A : array_like
+        The input array.
+    reps : array_like
+        The number of repetitions of `A` along each axis.
+
+    Returns
+    -------
+    c : ndarray
+        The tiled output array.
+
+    See Also
+    --------
+    repeat : Repeat elements of an array.
+    broadcast_to : Broadcast an array to a new shape
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([0, 1, 2])
+    >>> np.tile(a, 2)
+    array([0, 1, 2, 0, 1, 2])
+    >>> np.tile(a, (2, 2))
+    array([[0, 1, 2, 0, 1, 2],
+           [0, 1, 2, 0, 1, 2]])
+    >>> np.tile(a, (2, 1, 2))
+    array([[[0, 1, 2, 0, 1, 2]],
+           [[0, 1, 2, 0, 1, 2]]])
+
+    >>> b = np.array([[1, 2], [3, 4]])
+    >>> np.tile(b, 2)
+    array([[1, 2, 1, 2],
+           [3, 4, 3, 4]])
+    >>> np.tile(b, (2, 1))
+    array([[1, 2],
+           [3, 4],
+           [1, 2],
+           [3, 4]])
+
+    >>> c = np.array([1,2,3,4])
+    >>> np.tile(c,(4,1))
+    array([[1, 2, 3, 4],
+           [1, 2, 3, 4],
+           [1, 2, 3, 4],
+           [1, 2, 3, 4]])
+    """
+    try:
+        tup = tuple(reps)
+    except TypeError:
+        tup = (reps,)
+    d = len(tup)
+    if all(x == 1 for x in tup) and isinstance(A, _nx.ndarray):
+        # Fixes the problem that the function does not make a copy if A is a
+        # numpy array and the repetitions are 1 in all dimensions
+        return _nx.array(A, copy=True, subok=True, ndmin=d)
+    else:
+        # Note that no copy of zero-sized arrays is made. However since they
+        # have no data there is no risk of an inadvertent overwrite.
+        c = _nx.array(A, copy=None, subok=True, ndmin=d)
+    if (d < c.ndim):
+        tup = (1,)*(c.ndim-d) + tup
+    shape_out = tuple(s*t for s, t in zip(c.shape, tup))
+    n = c.size
+    if n > 0:
+        for dim_in, nrep in zip(c.shape, tup):
+            if nrep != 1:
+                c = c.reshape(-1, n).repeat(nrep, 0)
+            n //= dim_in
+    return c.reshape(shape_out)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_shape_base_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_shape_base_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..77e5d2de9cb9259efba6d9128705f1a4597d3ef3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_shape_base_impl.pyi
@@ -0,0 +1,225 @@
+from collections.abc import Callable, Sequence
+from typing import (
+    TypeVar,
+    Any,
+    overload,
+    SupportsIndex,
+    Protocol,
+    ParamSpec,
+    Concatenate,
+    type_check_only,
+)
+
+from typing_extensions import deprecated
+
+import numpy as np
+from numpy import _CastingKind, generic, integer, ufunc, unsignedinteger, signedinteger, floating, complexfloating, object_
+from numpy._typing import (
+    ArrayLike,
+    DTypeLike,
+    NDArray,
+    _ShapeLike,
+    _ArrayLike,
+    _ArrayLikeBool_co,
+    _ArrayLikeUInt_co,
+    _ArrayLikeInt_co,
+    _ArrayLikeFloat_co,
+    _ArrayLikeComplex_co,
+    _ArrayLikeObject_co,
+)
+
+__all__ = [
+    "column_stack",
+    "row_stack",
+    "dstack",
+    "array_split",
+    "split",
+    "hsplit",
+    "vsplit",
+    "dsplit",
+    "apply_over_axes",
+    "expand_dims",
+    "apply_along_axis",
+    "kron",
+    "tile",
+    "take_along_axis",
+    "put_along_axis",
+]
+
+_P = ParamSpec("_P")
+_SCT = TypeVar("_SCT", bound=generic)
+
+# Signature of `__array_wrap__`
+@type_check_only
+class _ArrayWrap(Protocol):
+    def __call__(
+        self,
+        array: NDArray[Any],
+        context: None | tuple[ufunc, tuple[Any, ...], int] = ...,
+        return_scalar: bool = ...,
+        /,
+    ) -> Any: ...
+
+@type_check_only
+class _SupportsArrayWrap(Protocol):
+    @property
+    def __array_wrap__(self) -> _ArrayWrap: ...
+
+###
+
+def take_along_axis(
+    arr: _SCT | NDArray[_SCT],
+    indices: NDArray[integer[Any]],
+    axis: None | int,
+) -> NDArray[_SCT]: ...
+
+def put_along_axis(
+    arr: NDArray[_SCT],
+    indices: NDArray[integer[Any]],
+    values: ArrayLike,
+    axis: None | int,
+) -> None: ...
+
+@overload
+def apply_along_axis(
+    func1d: Callable[Concatenate[NDArray[Any], _P], _ArrayLike[_SCT]],
+    axis: SupportsIndex,
+    arr: ArrayLike,
+    *args: _P.args,
+    **kwargs: _P.kwargs,
+) -> NDArray[_SCT]: ...
+@overload
+def apply_along_axis(
+    func1d: Callable[Concatenate[NDArray[Any], _P], Any],
+    axis: SupportsIndex,
+    arr: ArrayLike,
+    *args: _P.args,
+    **kwargs: _P.kwargs,
+) -> NDArray[Any]: ...
+
+def apply_over_axes(
+    func: Callable[[NDArray[Any], int], NDArray[_SCT]],
+    a: ArrayLike,
+    axes: int | Sequence[int],
+) -> NDArray[_SCT]: ...
+
+@overload
+def expand_dims(
+    a: _ArrayLike[_SCT],
+    axis: _ShapeLike,
+) -> NDArray[_SCT]: ...
+@overload
+def expand_dims(
+    a: ArrayLike,
+    axis: _ShapeLike,
+) -> NDArray[Any]: ...
+
+# Deprecated in NumPy 2.0, 2023-08-18
+@deprecated("`row_stack` alias is deprecated. Use `np.vstack` directly.")
+def row_stack(
+    tup: Sequence[ArrayLike],
+    *,
+    dtype: DTypeLike | None = None,
+    casting: _CastingKind = "same_kind",
+) -> NDArray[Any]: ...
+
+#
+@overload
+def column_stack(tup: Sequence[_ArrayLike[_SCT]]) -> NDArray[_SCT]: ...
+@overload
+def column_stack(tup: Sequence[ArrayLike]) -> NDArray[Any]: ...
+
+@overload
+def dstack(tup: Sequence[_ArrayLike[_SCT]]) -> NDArray[_SCT]: ...
+@overload
+def dstack(tup: Sequence[ArrayLike]) -> NDArray[Any]: ...
+
+@overload
+def array_split(
+    ary: _ArrayLike[_SCT],
+    indices_or_sections: _ShapeLike,
+    axis: SupportsIndex = ...,
+) -> list[NDArray[_SCT]]: ...
+@overload
+def array_split(
+    ary: ArrayLike,
+    indices_or_sections: _ShapeLike,
+    axis: SupportsIndex = ...,
+) -> list[NDArray[Any]]: ...
+
+@overload
+def split(
+    ary: _ArrayLike[_SCT],
+    indices_or_sections: _ShapeLike,
+    axis: SupportsIndex = ...,
+) -> list[NDArray[_SCT]]: ...
+@overload
+def split(
+    ary: ArrayLike,
+    indices_or_sections: _ShapeLike,
+    axis: SupportsIndex = ...,
+) -> list[NDArray[Any]]: ...
+
+@overload
+def hsplit(
+    ary: _ArrayLike[_SCT],
+    indices_or_sections: _ShapeLike,
+) -> list[NDArray[_SCT]]: ...
+@overload
+def hsplit(
+    ary: ArrayLike,
+    indices_or_sections: _ShapeLike,
+) -> list[NDArray[Any]]: ...
+
+@overload
+def vsplit(
+    ary: _ArrayLike[_SCT],
+    indices_or_sections: _ShapeLike,
+) -> list[NDArray[_SCT]]: ...
+@overload
+def vsplit(
+    ary: ArrayLike,
+    indices_or_sections: _ShapeLike,
+) -> list[NDArray[Any]]: ...
+
+@overload
+def dsplit(
+    ary: _ArrayLike[_SCT],
+    indices_or_sections: _ShapeLike,
+) -> list[NDArray[_SCT]]: ...
+@overload
+def dsplit(
+    ary: ArrayLike,
+    indices_or_sections: _ShapeLike,
+) -> list[NDArray[Any]]: ...
+
+@overload
+def get_array_wrap(*args: _SupportsArrayWrap) -> _ArrayWrap: ...
+@overload
+def get_array_wrap(*args: object) -> None | _ArrayWrap: ...
+
+@overload
+def kron(a: _ArrayLikeBool_co, b: _ArrayLikeBool_co) -> NDArray[np.bool]: ...  # type: ignore[misc]
+@overload
+def kron(a: _ArrayLikeUInt_co, b: _ArrayLikeUInt_co) -> NDArray[unsignedinteger[Any]]: ...  # type: ignore[misc]
+@overload
+def kron(a: _ArrayLikeInt_co, b: _ArrayLikeInt_co) -> NDArray[signedinteger[Any]]: ...  # type: ignore[misc]
+@overload
+def kron(a: _ArrayLikeFloat_co, b: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ...  # type: ignore[misc]
+@overload
+def kron(a: _ArrayLikeComplex_co, b: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def kron(a: _ArrayLikeObject_co, b: Any) -> NDArray[object_]: ...
+@overload
+def kron(a: Any, b: _ArrayLikeObject_co) -> NDArray[object_]: ...
+
+@overload
+def tile(
+    A: _ArrayLike[_SCT],
+    reps: int | Sequence[int],
+) -> NDArray[_SCT]: ...
+@overload
+def tile(
+    A: ArrayLike,
+    reps: int | Sequence[int],
+) -> NDArray[Any]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_stride_tricks_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_stride_tricks_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..d4780783a63812a8e5d6ffe1eb3b0f1ff0b1266c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_stride_tricks_impl.py
@@ -0,0 +1,549 @@
+"""
+Utilities that manipulate strides to achieve desirable effects.
+
+An explanation of strides can be found in the :ref:`arrays.ndarray`.
+
+"""
+import numpy as np
+from numpy._core.numeric import normalize_axis_tuple
+from numpy._core.overrides import array_function_dispatch, set_module
+
+__all__ = ['broadcast_to', 'broadcast_arrays', 'broadcast_shapes']
+
+
+class DummyArray:
+    """Dummy object that just exists to hang __array_interface__ dictionaries
+    and possibly keep alive a reference to a base array.
+    """
+
+    def __init__(self, interface, base=None):
+        self.__array_interface__ = interface
+        self.base = base
+
+
+def _maybe_view_as_subclass(original_array, new_array):
+    if type(original_array) is not type(new_array):
+        # if input was an ndarray subclass and subclasses were OK,
+        # then view the result as that subclass.
+        new_array = new_array.view(type=type(original_array))
+        # Since we have done something akin to a view from original_array, we
+        # should let the subclass finalize (if it has it implemented, i.e., is
+        # not None).
+        if new_array.__array_finalize__:
+            new_array.__array_finalize__(original_array)
+    return new_array
+
+
+@set_module("numpy.lib.stride_tricks")
+def as_strided(x, shape=None, strides=None, subok=False, writeable=True):
+    """
+    Create a view into the array with the given shape and strides.
+
+    .. warning:: This function has to be used with extreme care, see notes.
+
+    Parameters
+    ----------
+    x : ndarray
+        Array to create a new.
+    shape : sequence of int, optional
+        The shape of the new array. Defaults to ``x.shape``.
+    strides : sequence of int, optional
+        The strides of the new array. Defaults to ``x.strides``.
+    subok : bool, optional
+        If True, subclasses are preserved.
+    writeable : bool, optional
+        If set to False, the returned array will always be readonly.
+        Otherwise it will be writable if the original array was. It
+        is advisable to set this to False if possible (see Notes).
+
+    Returns
+    -------
+    view : ndarray
+
+    See also
+    --------
+    broadcast_to : broadcast an array to a given shape.
+    reshape : reshape an array.
+    lib.stride_tricks.sliding_window_view :
+        userfriendly and safe function for a creation of sliding window views.
+
+    Notes
+    -----
+    ``as_strided`` creates a view into the array given the exact strides
+    and shape. This means it manipulates the internal data structure of
+    ndarray and, if done incorrectly, the array elements can point to
+    invalid memory and can corrupt results or crash your program.
+    It is advisable to always use the original ``x.strides`` when
+    calculating new strides to avoid reliance on a contiguous memory
+    layout.
+
+    Furthermore, arrays created with this function often contain self
+    overlapping memory, so that two elements are identical.
+    Vectorized write operations on such arrays will typically be
+    unpredictable. They may even give different results for small, large,
+    or transposed arrays.
+
+    Since writing to these arrays has to be tested and done with great
+    care, you may want to use ``writeable=False`` to avoid accidental write
+    operations.
+
+    For these reasons it is advisable to avoid ``as_strided`` when
+    possible.
+    """
+    # first convert input to array, possibly keeping subclass
+    x = np.array(x, copy=None, subok=subok)
+    interface = dict(x.__array_interface__)
+    if shape is not None:
+        interface['shape'] = tuple(shape)
+    if strides is not None:
+        interface['strides'] = tuple(strides)
+
+    array = np.asarray(DummyArray(interface, base=x))
+    # The route via `__interface__` does not preserve structured
+    # dtypes. Since dtype should remain unchanged, we set it explicitly.
+    array.dtype = x.dtype
+
+    view = _maybe_view_as_subclass(x, array)
+
+    if view.flags.writeable and not writeable:
+        view.flags.writeable = False
+
+    return view
+
+
+def _sliding_window_view_dispatcher(x, window_shape, axis=None, *,
+                                    subok=None, writeable=None):
+    return (x,)
+
+
+@array_function_dispatch(
+    _sliding_window_view_dispatcher, module="numpy.lib.stride_tricks"
+)
+def sliding_window_view(x, window_shape, axis=None, *,
+                        subok=False, writeable=False):
+    """
+    Create a sliding window view into the array with the given window shape.
+
+    Also known as rolling or moving window, the window slides across all
+    dimensions of the array and extracts subsets of the array at all window
+    positions.
+
+    .. versionadded:: 1.20.0
+
+    Parameters
+    ----------
+    x : array_like
+        Array to create the sliding window view from.
+    window_shape : int or tuple of int
+        Size of window over each axis that takes part in the sliding window.
+        If `axis` is not present, must have same length as the number of input
+        array dimensions. Single integers `i` are treated as if they were the
+        tuple `(i,)`.
+    axis : int or tuple of int, optional
+        Axis or axes along which the sliding window is applied.
+        By default, the sliding window is applied to all axes and
+        `window_shape[i]` will refer to axis `i` of `x`.
+        If `axis` is given as a `tuple of int`, `window_shape[i]` will refer to
+        the axis `axis[i]` of `x`.
+        Single integers `i` are treated as if they were the tuple `(i,)`.
+    subok : bool, optional
+        If True, sub-classes will be passed-through, otherwise the returned
+        array will be forced to be a base-class array (default).
+    writeable : bool, optional
+        When true, allow writing to the returned view. The default is false,
+        as this should be used with caution: the returned view contains the
+        same memory location multiple times, so writing to one location will
+        cause others to change.
+
+    Returns
+    -------
+    view : ndarray
+        Sliding window view of the array. The sliding window dimensions are
+        inserted at the end, and the original dimensions are trimmed as
+        required by the size of the sliding window.
+        That is, ``view.shape = x_shape_trimmed + window_shape``, where
+        ``x_shape_trimmed`` is ``x.shape`` with every entry reduced by one less
+        than the corresponding window size.
+
+    See Also
+    --------
+    lib.stride_tricks.as_strided: A lower-level and less safe routine for
+        creating arbitrary views from custom shape and strides.
+    broadcast_to: broadcast an array to a given shape.
+
+    Notes
+    -----
+    For many applications using a sliding window view can be convenient, but
+    potentially very slow. Often specialized solutions exist, for example:
+
+    - `scipy.signal.fftconvolve`
+
+    - filtering functions in `scipy.ndimage`
+
+    - moving window functions provided by
+      `bottleneck `_.
+
+    As a rough estimate, a sliding window approach with an input size of `N`
+    and a window size of `W` will scale as `O(N*W)` where frequently a special
+    algorithm can achieve `O(N)`. That means that the sliding window variant
+    for a window size of 100 can be a 100 times slower than a more specialized
+    version.
+
+    Nevertheless, for small window sizes, when no custom algorithm exists, or
+    as a prototyping and developing tool, this function can be a good solution.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib.stride_tricks import sliding_window_view
+    >>> x = np.arange(6)
+    >>> x.shape
+    (6,)
+    >>> v = sliding_window_view(x, 3)
+    >>> v.shape
+    (4, 3)
+    >>> v
+    array([[0, 1, 2],
+           [1, 2, 3],
+           [2, 3, 4],
+           [3, 4, 5]])
+
+    This also works in more dimensions, e.g.
+
+    >>> i, j = np.ogrid[:3, :4]
+    >>> x = 10*i + j
+    >>> x.shape
+    (3, 4)
+    >>> x
+    array([[ 0,  1,  2,  3],
+           [10, 11, 12, 13],
+           [20, 21, 22, 23]])
+    >>> shape = (2,2)
+    >>> v = sliding_window_view(x, shape)
+    >>> v.shape
+    (2, 3, 2, 2)
+    >>> v
+    array([[[[ 0,  1],
+             [10, 11]],
+            [[ 1,  2],
+             [11, 12]],
+            [[ 2,  3],
+             [12, 13]]],
+           [[[10, 11],
+             [20, 21]],
+            [[11, 12],
+             [21, 22]],
+            [[12, 13],
+             [22, 23]]]])
+
+    The axis can be specified explicitly:
+
+    >>> v = sliding_window_view(x, 3, 0)
+    >>> v.shape
+    (1, 4, 3)
+    >>> v
+    array([[[ 0, 10, 20],
+            [ 1, 11, 21],
+            [ 2, 12, 22],
+            [ 3, 13, 23]]])
+
+    The same axis can be used several times. In that case, every use reduces
+    the corresponding original dimension:
+
+    >>> v = sliding_window_view(x, (2, 3), (1, 1))
+    >>> v.shape
+    (3, 1, 2, 3)
+    >>> v
+    array([[[[ 0,  1,  2],
+             [ 1,  2,  3]]],
+           [[[10, 11, 12],
+             [11, 12, 13]]],
+           [[[20, 21, 22],
+             [21, 22, 23]]]])
+
+    Combining with stepped slicing (`::step`), this can be used to take sliding
+    views which skip elements:
+
+    >>> x = np.arange(7)
+    >>> sliding_window_view(x, 5)[:, ::2]
+    array([[0, 2, 4],
+           [1, 3, 5],
+           [2, 4, 6]])
+
+    or views which move by multiple elements
+
+    >>> x = np.arange(7)
+    >>> sliding_window_view(x, 3)[::2, :]
+    array([[0, 1, 2],
+           [2, 3, 4],
+           [4, 5, 6]])
+
+    A common application of `sliding_window_view` is the calculation of running
+    statistics. The simplest example is the
+    `moving average `_:
+
+    >>> x = np.arange(6)
+    >>> x.shape
+    (6,)
+    >>> v = sliding_window_view(x, 3)
+    >>> v.shape
+    (4, 3)
+    >>> v
+    array([[0, 1, 2],
+           [1, 2, 3],
+           [2, 3, 4],
+           [3, 4, 5]])
+    >>> moving_average = v.mean(axis=-1)
+    >>> moving_average
+    array([1., 2., 3., 4.])
+
+    Note that a sliding window approach is often **not** optimal (see Notes).
+    """
+    window_shape = (tuple(window_shape)
+                    if np.iterable(window_shape)
+                    else (window_shape,))
+    # first convert input to array, possibly keeping subclass
+    x = np.array(x, copy=None, subok=subok)
+
+    window_shape_array = np.array(window_shape)
+    if np.any(window_shape_array < 0):
+        raise ValueError('`window_shape` cannot contain negative values')
+
+    if axis is None:
+        axis = tuple(range(x.ndim))
+        if len(window_shape) != len(axis):
+            raise ValueError(f'Since axis is `None`, must provide '
+                             f'window_shape for all dimensions of `x`; '
+                             f'got {len(window_shape)} window_shape elements '
+                             f'and `x.ndim` is {x.ndim}.')
+    else:
+        axis = normalize_axis_tuple(axis, x.ndim, allow_duplicate=True)
+        if len(window_shape) != len(axis):
+            raise ValueError(f'Must provide matching length window_shape and '
+                             f'axis; got {len(window_shape)} window_shape '
+                             f'elements and {len(axis)} axes elements.')
+
+    out_strides = x.strides + tuple(x.strides[ax] for ax in axis)
+
+    # note: same axis can be windowed repeatedly
+    x_shape_trimmed = list(x.shape)
+    for ax, dim in zip(axis, window_shape):
+        if x_shape_trimmed[ax] < dim:
+            raise ValueError(
+                'window shape cannot be larger than input array shape')
+        x_shape_trimmed[ax] -= dim - 1
+    out_shape = tuple(x_shape_trimmed) + window_shape
+    return as_strided(x, strides=out_strides, shape=out_shape,
+                      subok=subok, writeable=writeable)
+
+
+def _broadcast_to(array, shape, subok, readonly):
+    shape = tuple(shape) if np.iterable(shape) else (shape,)
+    array = np.array(array, copy=None, subok=subok)
+    if not shape and array.shape:
+        raise ValueError('cannot broadcast a non-scalar to a scalar array')
+    if any(size < 0 for size in shape):
+        raise ValueError('all elements of broadcast shape must be non-'
+                         'negative')
+    extras = []
+    it = np.nditer(
+        (array,), flags=['multi_index', 'refs_ok', 'zerosize_ok'] + extras,
+        op_flags=['readonly'], itershape=shape, order='C')
+    with it:
+        # never really has writebackifcopy semantics
+        broadcast = it.itviews[0]
+    result = _maybe_view_as_subclass(array, broadcast)
+    # In a future version this will go away
+    if not readonly and array.flags._writeable_no_warn:
+        result.flags.writeable = True
+        result.flags._warn_on_write = True
+    return result
+
+
+def _broadcast_to_dispatcher(array, shape, subok=None):
+    return (array,)
+
+
+@array_function_dispatch(_broadcast_to_dispatcher, module='numpy')
+def broadcast_to(array, shape, subok=False):
+    """Broadcast an array to a new shape.
+
+    Parameters
+    ----------
+    array : array_like
+        The array to broadcast.
+    shape : tuple or int
+        The shape of the desired array. A single integer ``i`` is interpreted
+        as ``(i,)``.
+    subok : bool, optional
+        If True, then sub-classes will be passed-through, otherwise
+        the returned array will be forced to be a base-class array (default).
+
+    Returns
+    -------
+    broadcast : array
+        A readonly view on the original array with the given shape. It is
+        typically not contiguous. Furthermore, more than one element of a
+        broadcasted array may refer to a single memory location.
+
+    Raises
+    ------
+    ValueError
+        If the array is not compatible with the new shape according to NumPy's
+        broadcasting rules.
+
+    See Also
+    --------
+    broadcast
+    broadcast_arrays
+    broadcast_shapes
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.array([1, 2, 3])
+    >>> np.broadcast_to(x, (3, 3))
+    array([[1, 2, 3],
+           [1, 2, 3],
+           [1, 2, 3]])
+    """
+    return _broadcast_to(array, shape, subok=subok, readonly=True)
+
+
+def _broadcast_shape(*args):
+    """Returns the shape of the arrays that would result from broadcasting the
+    supplied arrays against each other.
+    """
+    # use the old-iterator because np.nditer does not handle size 0 arrays
+    # consistently
+    b = np.broadcast(*args[:32])
+    # unfortunately, it cannot handle 32 or more arguments directly
+    for pos in range(32, len(args), 31):
+        # ironically, np.broadcast does not properly handle np.broadcast
+        # objects (it treats them as scalars)
+        # use broadcasting to avoid allocating the full array
+        b = broadcast_to(0, b.shape)
+        b = np.broadcast(b, *args[pos:(pos + 31)])
+    return b.shape
+
+
+_size0_dtype = np.dtype([])
+
+
+@set_module('numpy')
+def broadcast_shapes(*args):
+    """
+    Broadcast the input shapes into a single shape.
+
+    :ref:`Learn more about broadcasting here `.
+
+    .. versionadded:: 1.20.0
+
+    Parameters
+    ----------
+    *args : tuples of ints, or ints
+        The shapes to be broadcast against each other.
+
+    Returns
+    -------
+    tuple
+        Broadcasted shape.
+
+    Raises
+    ------
+    ValueError
+        If the shapes are not compatible and cannot be broadcast according
+        to NumPy's broadcasting rules.
+
+    See Also
+    --------
+    broadcast
+    broadcast_arrays
+    broadcast_to
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.broadcast_shapes((1, 2), (3, 1), (3, 2))
+    (3, 2)
+
+    >>> np.broadcast_shapes((6, 7), (5, 6, 1), (7,), (5, 1, 7))
+    (5, 6, 7)
+    """
+    arrays = [np.empty(x, dtype=_size0_dtype) for x in args]
+    return _broadcast_shape(*arrays)
+
+
+def _broadcast_arrays_dispatcher(*args, subok=None):
+    return args
+
+
+@array_function_dispatch(_broadcast_arrays_dispatcher, module='numpy')
+def broadcast_arrays(*args, subok=False):
+    """
+    Broadcast any number of arrays against each other.
+
+    Parameters
+    ----------
+    *args : array_likes
+        The arrays to broadcast.
+
+    subok : bool, optional
+        If True, then sub-classes will be passed-through, otherwise
+        the returned arrays will be forced to be a base-class array (default).
+
+    Returns
+    -------
+    broadcasted : tuple of arrays
+        These arrays are views on the original arrays.  They are typically
+        not contiguous.  Furthermore, more than one element of a
+        broadcasted array may refer to a single memory location. If you need
+        to write to the arrays, make copies first. While you can set the
+        ``writable`` flag True, writing to a single output value may end up
+        changing more than one location in the output array.
+
+        .. deprecated:: 1.17
+            The output is currently marked so that if written to, a deprecation
+            warning will be emitted. A future version will set the
+            ``writable`` flag False so writing to it will raise an error.
+
+    See Also
+    --------
+    broadcast
+    broadcast_to
+    broadcast_shapes
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.array([[1,2,3]])
+    >>> y = np.array([[4],[5]])
+    >>> np.broadcast_arrays(x, y)
+    (array([[1, 2, 3],
+            [1, 2, 3]]),
+     array([[4, 4, 4],
+            [5, 5, 5]]))
+
+    Here is a useful idiom for getting contiguous copies instead of
+    non-contiguous views.
+
+    >>> [np.array(a) for a in np.broadcast_arrays(x, y)]
+    [array([[1, 2, 3],
+            [1, 2, 3]]),
+     array([[4, 4, 4],
+            [5, 5, 5]])]
+
+    """
+    # nditer is not used here to avoid the limit of 32 arrays.
+    # Otherwise, something like the following one-liner would suffice:
+    # return np.nditer(args, flags=['multi_index', 'zerosize_ok'],
+    #                  order='C').itviews
+
+    args = [np.array(_m, copy=None, subok=subok) for _m in args]
+
+    shape = _broadcast_shape(*args)
+
+    result = [array if array.shape == shape
+              else _broadcast_to(array, shape, subok=subok, readonly=False)
+                              for array in args]
+    return tuple(result)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_stride_tricks_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_stride_tricks_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..e2284115eeb40276bf4003bb420f3ce83f004fb8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_stride_tricks_impl.pyi
@@ -0,0 +1,80 @@
+from collections.abc import Iterable
+from typing import Any, TypeVar, overload, SupportsIndex
+
+from numpy import generic
+from numpy._typing import (
+    NDArray,
+    ArrayLike,
+    _ShapeLike,
+    _Shape,
+    _ArrayLike
+)
+
+__all__ = ["broadcast_to", "broadcast_arrays", "broadcast_shapes"]
+
+_SCT = TypeVar("_SCT", bound=generic)
+
+class DummyArray:
+    __array_interface__: dict[str, Any]
+    base: None | NDArray[Any]
+    def __init__(
+        self,
+        interface: dict[str, Any],
+        base: None | NDArray[Any] = ...,
+    ) -> None: ...
+
+@overload
+def as_strided(
+    x: _ArrayLike[_SCT],
+    shape: None | Iterable[int] = ...,
+    strides: None | Iterable[int] = ...,
+    subok: bool = ...,
+    writeable: bool = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def as_strided(
+    x: ArrayLike,
+    shape: None | Iterable[int] = ...,
+    strides: None | Iterable[int] = ...,
+    subok: bool = ...,
+    writeable: bool = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def sliding_window_view(
+    x: _ArrayLike[_SCT],
+    window_shape: int | Iterable[int],
+    axis: None | SupportsIndex = ...,
+    *,
+    subok: bool = ...,
+    writeable: bool = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def sliding_window_view(
+    x: ArrayLike,
+    window_shape: int | Iterable[int],
+    axis: None | SupportsIndex = ...,
+    *,
+    subok: bool = ...,
+    writeable: bool = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def broadcast_to(
+    array: _ArrayLike[_SCT],
+    shape: int | Iterable[int],
+    subok: bool = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def broadcast_to(
+    array: ArrayLike,
+    shape: int | Iterable[int],
+    subok: bool = ...,
+) -> NDArray[Any]: ...
+
+def broadcast_shapes(*args: _ShapeLike) -> _Shape: ...
+
+def broadcast_arrays(
+    *args: ArrayLike,
+    subok: bool = ...,
+) -> tuple[NDArray[Any], ...]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_twodim_base_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_twodim_base_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..e8815bede8919c5658243146bd06f4d325126051
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_twodim_base_impl.py
@@ -0,0 +1,1188 @@
+""" Basic functions for manipulating 2d arrays
+
+"""
+import functools
+import operator
+
+from numpy._core._multiarray_umath import _array_converter
+from numpy._core.numeric import (
+    asanyarray, arange, zeros, greater_equal, multiply, ones,
+    asarray, where, int8, int16, int32, int64, intp, empty, promote_types,
+    diagonal, nonzero, indices
+    )
+from numpy._core.overrides import finalize_array_function_like, set_module
+from numpy._core import overrides
+from numpy._core import iinfo
+from numpy.lib._stride_tricks_impl import broadcast_to
+
+
+__all__ = [
+    'diag', 'diagflat', 'eye', 'fliplr', 'flipud', 'tri', 'triu',
+    'tril', 'vander', 'histogram2d', 'mask_indices', 'tril_indices',
+    'tril_indices_from', 'triu_indices', 'triu_indices_from', ]
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+i1 = iinfo(int8)
+i2 = iinfo(int16)
+i4 = iinfo(int32)
+
+
+def _min_int(low, high):
+    """ get small int that fits the range """
+    if high <= i1.max and low >= i1.min:
+        return int8
+    if high <= i2.max and low >= i2.min:
+        return int16
+    if high <= i4.max and low >= i4.min:
+        return int32
+    return int64
+
+
+def _flip_dispatcher(m):
+    return (m,)
+
+
+@array_function_dispatch(_flip_dispatcher)
+def fliplr(m):
+    """
+    Reverse the order of elements along axis 1 (left/right).
+
+    For a 2-D array, this flips the entries in each row in the left/right
+    direction. Columns are preserved, but appear in a different order than
+    before.
+
+    Parameters
+    ----------
+    m : array_like
+        Input array, must be at least 2-D.
+
+    Returns
+    -------
+    f : ndarray
+        A view of `m` with the columns reversed.  Since a view
+        is returned, this operation is :math:`\\mathcal O(1)`.
+
+    See Also
+    --------
+    flipud : Flip array in the up/down direction.
+    flip : Flip array in one or more dimensions.
+    rot90 : Rotate array counterclockwise.
+
+    Notes
+    -----
+    Equivalent to ``m[:,::-1]`` or ``np.flip(m, axis=1)``.
+    Requires the array to be at least 2-D.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> A = np.diag([1.,2.,3.])
+    >>> A
+    array([[1.,  0.,  0.],
+           [0.,  2.,  0.],
+           [0.,  0.,  3.]])
+    >>> np.fliplr(A)
+    array([[0.,  0.,  1.],
+           [0.,  2.,  0.],
+           [3.,  0.,  0.]])
+
+    >>> rng = np.random.default_rng()
+    >>> A = rng.normal(size=(2,3,5))
+    >>> np.all(np.fliplr(A) == A[:,::-1,...])
+    True
+
+    """
+    m = asanyarray(m)
+    if m.ndim < 2:
+        raise ValueError("Input must be >= 2-d.")
+    return m[:, ::-1]
+
+
+@array_function_dispatch(_flip_dispatcher)
+def flipud(m):
+    """
+    Reverse the order of elements along axis 0 (up/down).
+
+    For a 2-D array, this flips the entries in each column in the up/down
+    direction. Rows are preserved, but appear in a different order than before.
+
+    Parameters
+    ----------
+    m : array_like
+        Input array.
+
+    Returns
+    -------
+    out : array_like
+        A view of `m` with the rows reversed.  Since a view is
+        returned, this operation is :math:`\\mathcal O(1)`.
+
+    See Also
+    --------
+    fliplr : Flip array in the left/right direction.
+    flip : Flip array in one or more dimensions.
+    rot90 : Rotate array counterclockwise.
+
+    Notes
+    -----
+    Equivalent to ``m[::-1, ...]`` or ``np.flip(m, axis=0)``.
+    Requires the array to be at least 1-D.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> A = np.diag([1.0, 2, 3])
+    >>> A
+    array([[1.,  0.,  0.],
+           [0.,  2.,  0.],
+           [0.,  0.,  3.]])
+    >>> np.flipud(A)
+    array([[0.,  0.,  3.],
+           [0.,  2.,  0.],
+           [1.,  0.,  0.]])
+
+    >>> rng = np.random.default_rng()
+    >>> A = rng.normal(size=(2,3,5))
+    >>> np.all(np.flipud(A) == A[::-1,...])
+    True
+
+    >>> np.flipud([1,2])
+    array([2, 1])
+
+    """
+    m = asanyarray(m)
+    if m.ndim < 1:
+        raise ValueError("Input must be >= 1-d.")
+    return m[::-1, ...]
+
+
+@finalize_array_function_like
+@set_module('numpy')
+def eye(N, M=None, k=0, dtype=float, order='C', *, device=None, like=None):
+    """
+    Return a 2-D array with ones on the diagonal and zeros elsewhere.
+
+    Parameters
+    ----------
+    N : int
+      Number of rows in the output.
+    M : int, optional
+      Number of columns in the output. If None, defaults to `N`.
+    k : int, optional
+      Index of the diagonal: 0 (the default) refers to the main diagonal,
+      a positive value refers to an upper diagonal, and a negative value
+      to a lower diagonal.
+    dtype : data-type, optional
+      Data-type of the returned array.
+    order : {'C', 'F'}, optional
+        Whether the output should be stored in row-major (C-style) or
+        column-major (Fortran-style) order in memory.
+    device : str, optional
+        The device on which to place the created array. Default: None.
+        For Array-API interoperability only, so must be ``"cpu"`` if passed.
+
+        .. versionadded:: 2.0.0
+    ${ARRAY_FUNCTION_LIKE}
+
+        .. versionadded:: 1.20.0
+
+    Returns
+    -------
+    I : ndarray of shape (N,M)
+      An array where all elements are equal to zero, except for the `k`-th
+      diagonal, whose values are equal to one.
+
+    See Also
+    --------
+    identity : (almost) equivalent function
+    diag : diagonal 2-D array from a 1-D array specified by the user.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.eye(2, dtype=int)
+    array([[1, 0],
+           [0, 1]])
+    >>> np.eye(3, k=1)
+    array([[0.,  1.,  0.],
+           [0.,  0.,  1.],
+           [0.,  0.,  0.]])
+
+    """
+    if like is not None:
+        return _eye_with_like(
+            like, N, M=M, k=k, dtype=dtype, order=order, device=device
+        )
+    if M is None:
+        M = N
+    m = zeros((N, M), dtype=dtype, order=order, device=device)
+    if k >= M:
+        return m
+    # Ensure M and k are integers, so we don't get any surprise casting
+    # results in the expressions `M-k` and `M+1` used below.  This avoids
+    # a problem with inputs with type (for example) np.uint64.
+    M = operator.index(M)
+    k = operator.index(k)
+    if k >= 0:
+        i = k
+    else:
+        i = (-k) * M
+    m[:M-k].flat[i::M+1] = 1
+    return m
+
+
+_eye_with_like = array_function_dispatch()(eye)
+
+
+def _diag_dispatcher(v, k=None):
+    return (v,)
+
+
+@array_function_dispatch(_diag_dispatcher)
+def diag(v, k=0):
+    """
+    Extract a diagonal or construct a diagonal array.
+
+    See the more detailed documentation for ``numpy.diagonal`` if you use this
+    function to extract a diagonal and wish to write to the resulting array;
+    whether it returns a copy or a view depends on what version of numpy you
+    are using.
+
+    Parameters
+    ----------
+    v : array_like
+        If `v` is a 2-D array, return a copy of its `k`-th diagonal.
+        If `v` is a 1-D array, return a 2-D array with `v` on the `k`-th
+        diagonal.
+    k : int, optional
+        Diagonal in question. The default is 0. Use `k>0` for diagonals
+        above the main diagonal, and `k<0` for diagonals below the main
+        diagonal.
+
+    Returns
+    -------
+    out : ndarray
+        The extracted diagonal or constructed diagonal array.
+
+    See Also
+    --------
+    diagonal : Return specified diagonals.
+    diagflat : Create a 2-D array with the flattened input as a diagonal.
+    trace : Sum along diagonals.
+    triu : Upper triangle of an array.
+    tril : Lower triangle of an array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(9).reshape((3,3))
+    >>> x
+    array([[0, 1, 2],
+           [3, 4, 5],
+           [6, 7, 8]])
+
+    >>> np.diag(x)
+    array([0, 4, 8])
+    >>> np.diag(x, k=1)
+    array([1, 5])
+    >>> np.diag(x, k=-1)
+    array([3, 7])
+
+    >>> np.diag(np.diag(x))
+    array([[0, 0, 0],
+           [0, 4, 0],
+           [0, 0, 8]])
+
+    """
+    v = asanyarray(v)
+    s = v.shape
+    if len(s) == 1:
+        n = s[0]+abs(k)
+        res = zeros((n, n), v.dtype)
+        if k >= 0:
+            i = k
+        else:
+            i = (-k) * n
+        res[:n-k].flat[i::n+1] = v
+        return res
+    elif len(s) == 2:
+        return diagonal(v, k)
+    else:
+        raise ValueError("Input must be 1- or 2-d.")
+
+
+@array_function_dispatch(_diag_dispatcher)
+def diagflat(v, k=0):
+    """
+    Create a two-dimensional array with the flattened input as a diagonal.
+
+    Parameters
+    ----------
+    v : array_like
+        Input data, which is flattened and set as the `k`-th
+        diagonal of the output.
+    k : int, optional
+        Diagonal to set; 0, the default, corresponds to the "main" diagonal,
+        a positive (negative) `k` giving the number of the diagonal above
+        (below) the main.
+
+    Returns
+    -------
+    out : ndarray
+        The 2-D output array.
+
+    See Also
+    --------
+    diag : MATLAB work-alike for 1-D and 2-D arrays.
+    diagonal : Return specified diagonals.
+    trace : Sum along diagonals.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.diagflat([[1,2], [3,4]])
+    array([[1, 0, 0, 0],
+           [0, 2, 0, 0],
+           [0, 0, 3, 0],
+           [0, 0, 0, 4]])
+
+    >>> np.diagflat([1,2], 1)
+    array([[0, 1, 0],
+           [0, 0, 2],
+           [0, 0, 0]])
+
+    """
+    conv = _array_converter(v)
+    v, = conv.as_arrays(subok=False)
+    v = v.ravel()
+    s = len(v)
+    n = s + abs(k)
+    res = zeros((n, n), v.dtype)
+    if (k >= 0):
+        i = arange(0, n-k, dtype=intp)
+        fi = i+k+i*n
+    else:
+        i = arange(0, n+k, dtype=intp)
+        fi = i+(i-k)*n
+    res.flat[fi] = v
+
+    return conv.wrap(res)
+
+
+@finalize_array_function_like
+@set_module('numpy')
+def tri(N, M=None, k=0, dtype=float, *, like=None):
+    """
+    An array with ones at and below the given diagonal and zeros elsewhere.
+
+    Parameters
+    ----------
+    N : int
+        Number of rows in the array.
+    M : int, optional
+        Number of columns in the array.
+        By default, `M` is taken equal to `N`.
+    k : int, optional
+        The sub-diagonal at and below which the array is filled.
+        `k` = 0 is the main diagonal, while `k` < 0 is below it,
+        and `k` > 0 is above.  The default is 0.
+    dtype : dtype, optional
+        Data type of the returned array.  The default is float.
+    ${ARRAY_FUNCTION_LIKE}
+
+        .. versionadded:: 1.20.0
+
+    Returns
+    -------
+    tri : ndarray of shape (N, M)
+        Array with its lower triangle filled with ones and zero elsewhere;
+        in other words ``T[i,j] == 1`` for ``j <= i + k``, 0 otherwise.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.tri(3, 5, 2, dtype=int)
+    array([[1, 1, 1, 0, 0],
+           [1, 1, 1, 1, 0],
+           [1, 1, 1, 1, 1]])
+
+    >>> np.tri(3, 5, -1)
+    array([[0.,  0.,  0.,  0.,  0.],
+           [1.,  0.,  0.,  0.,  0.],
+           [1.,  1.,  0.,  0.,  0.]])
+
+    """
+    if like is not None:
+        return _tri_with_like(like, N, M=M, k=k, dtype=dtype)
+
+    if M is None:
+        M = N
+
+    m = greater_equal.outer(arange(N, dtype=_min_int(0, N)),
+                            arange(-k, M-k, dtype=_min_int(-k, M - k)))
+
+    # Avoid making a copy if the requested type is already bool
+    m = m.astype(dtype, copy=False)
+
+    return m
+
+
+_tri_with_like = array_function_dispatch()(tri)
+
+
+def _trilu_dispatcher(m, k=None):
+    return (m,)
+
+
+@array_function_dispatch(_trilu_dispatcher)
+def tril(m, k=0):
+    """
+    Lower triangle of an array.
+
+    Return a copy of an array with elements above the `k`-th diagonal zeroed.
+    For arrays with ``ndim`` exceeding 2, `tril` will apply to the final two
+    axes.
+
+    Parameters
+    ----------
+    m : array_like, shape (..., M, N)
+        Input array.
+    k : int, optional
+        Diagonal above which to zero elements.  `k = 0` (the default) is the
+        main diagonal, `k < 0` is below it and `k > 0` is above.
+
+    Returns
+    -------
+    tril : ndarray, shape (..., M, N)
+        Lower triangle of `m`, of same shape and data-type as `m`.
+
+    See Also
+    --------
+    triu : same thing, only for the upper triangle
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.tril([[1,2,3],[4,5,6],[7,8,9],[10,11,12]], -1)
+    array([[ 0,  0,  0],
+           [ 4,  0,  0],
+           [ 7,  8,  0],
+           [10, 11, 12]])
+
+    >>> np.tril(np.arange(3*4*5).reshape(3, 4, 5))
+    array([[[ 0,  0,  0,  0,  0],
+            [ 5,  6,  0,  0,  0],
+            [10, 11, 12,  0,  0],
+            [15, 16, 17, 18,  0]],
+           [[20,  0,  0,  0,  0],
+            [25, 26,  0,  0,  0],
+            [30, 31, 32,  0,  0],
+            [35, 36, 37, 38,  0]],
+           [[40,  0,  0,  0,  0],
+            [45, 46,  0,  0,  0],
+            [50, 51, 52,  0,  0],
+            [55, 56, 57, 58,  0]]])
+
+    """
+    m = asanyarray(m)
+    mask = tri(*m.shape[-2:], k=k, dtype=bool)
+
+    return where(mask, m, zeros(1, m.dtype))
+
+
+@array_function_dispatch(_trilu_dispatcher)
+def triu(m, k=0):
+    """
+    Upper triangle of an array.
+
+    Return a copy of an array with the elements below the `k`-th diagonal
+    zeroed. For arrays with ``ndim`` exceeding 2, `triu` will apply to the
+    final two axes.
+
+    Please refer to the documentation for `tril` for further details.
+
+    See Also
+    --------
+    tril : lower triangle of an array
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.triu([[1,2,3],[4,5,6],[7,8,9],[10,11,12]], -1)
+    array([[ 1,  2,  3],
+           [ 4,  5,  6],
+           [ 0,  8,  9],
+           [ 0,  0, 12]])
+
+    >>> np.triu(np.arange(3*4*5).reshape(3, 4, 5))
+    array([[[ 0,  1,  2,  3,  4],
+            [ 0,  6,  7,  8,  9],
+            [ 0,  0, 12, 13, 14],
+            [ 0,  0,  0, 18, 19]],
+           [[20, 21, 22, 23, 24],
+            [ 0, 26, 27, 28, 29],
+            [ 0,  0, 32, 33, 34],
+            [ 0,  0,  0, 38, 39]],
+           [[40, 41, 42, 43, 44],
+            [ 0, 46, 47, 48, 49],
+            [ 0,  0, 52, 53, 54],
+            [ 0,  0,  0, 58, 59]]])
+
+    """
+    m = asanyarray(m)
+    mask = tri(*m.shape[-2:], k=k-1, dtype=bool)
+
+    return where(mask, zeros(1, m.dtype), m)
+
+
+def _vander_dispatcher(x, N=None, increasing=None):
+    return (x,)
+
+
+# Originally borrowed from John Hunter and matplotlib
+@array_function_dispatch(_vander_dispatcher)
+def vander(x, N=None, increasing=False):
+    """
+    Generate a Vandermonde matrix.
+
+    The columns of the output matrix are powers of the input vector. The
+    order of the powers is determined by the `increasing` boolean argument.
+    Specifically, when `increasing` is False, the `i`-th output column is
+    the input vector raised element-wise to the power of ``N - i - 1``. Such
+    a matrix with a geometric progression in each row is named for Alexandre-
+    Theophile Vandermonde.
+
+    Parameters
+    ----------
+    x : array_like
+        1-D input array.
+    N : int, optional
+        Number of columns in the output.  If `N` is not specified, a square
+        array is returned (``N = len(x)``).
+    increasing : bool, optional
+        Order of the powers of the columns.  If True, the powers increase
+        from left to right, if False (the default) they are reversed.
+
+    Returns
+    -------
+    out : ndarray
+        Vandermonde matrix.  If `increasing` is False, the first column is
+        ``x^(N-1)``, the second ``x^(N-2)`` and so forth. If `increasing` is
+        True, the columns are ``x^0, x^1, ..., x^(N-1)``.
+
+    See Also
+    --------
+    polynomial.polynomial.polyvander
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.array([1, 2, 3, 5])
+    >>> N = 3
+    >>> np.vander(x, N)
+    array([[ 1,  1,  1],
+           [ 4,  2,  1],
+           [ 9,  3,  1],
+           [25,  5,  1]])
+
+    >>> np.column_stack([x**(N-1-i) for i in range(N)])
+    array([[ 1,  1,  1],
+           [ 4,  2,  1],
+           [ 9,  3,  1],
+           [25,  5,  1]])
+
+    >>> x = np.array([1, 2, 3, 5])
+    >>> np.vander(x)
+    array([[  1,   1,   1,   1],
+           [  8,   4,   2,   1],
+           [ 27,   9,   3,   1],
+           [125,  25,   5,   1]])
+    >>> np.vander(x, increasing=True)
+    array([[  1,   1,   1,   1],
+           [  1,   2,   4,   8],
+           [  1,   3,   9,  27],
+           [  1,   5,  25, 125]])
+
+    The determinant of a square Vandermonde matrix is the product
+    of the differences between the values of the input vector:
+
+    >>> np.linalg.det(np.vander(x))
+    48.000000000000043 # may vary
+    >>> (5-3)*(5-2)*(5-1)*(3-2)*(3-1)*(2-1)
+    48
+
+    """
+    x = asarray(x)
+    if x.ndim != 1:
+        raise ValueError("x must be a one-dimensional array or sequence.")
+    if N is None:
+        N = len(x)
+
+    v = empty((len(x), N), dtype=promote_types(x.dtype, int))
+    tmp = v[:, ::-1] if not increasing else v
+
+    if N > 0:
+        tmp[:, 0] = 1
+    if N > 1:
+        tmp[:, 1:] = x[:, None]
+        multiply.accumulate(tmp[:, 1:], out=tmp[:, 1:], axis=1)
+
+    return v
+
+
+def _histogram2d_dispatcher(x, y, bins=None, range=None, density=None,
+                            weights=None):
+    yield x
+    yield y
+
+    # This terrible logic is adapted from the checks in histogram2d
+    try:
+        N = len(bins)
+    except TypeError:
+        N = 1
+    if N == 2:
+        yield from bins  # bins=[x, y]
+    else:
+        yield bins
+
+    yield weights
+
+
+@array_function_dispatch(_histogram2d_dispatcher)
+def histogram2d(x, y, bins=10, range=None, density=None, weights=None):
+    """
+    Compute the bi-dimensional histogram of two data samples.
+
+    Parameters
+    ----------
+    x : array_like, shape (N,)
+        An array containing the x coordinates of the points to be
+        histogrammed.
+    y : array_like, shape (N,)
+        An array containing the y coordinates of the points to be
+        histogrammed.
+    bins : int or array_like or [int, int] or [array, array], optional
+        The bin specification:
+
+        * If int, the number of bins for the two dimensions (nx=ny=bins).
+        * If array_like, the bin edges for the two dimensions
+          (x_edges=y_edges=bins).
+        * If [int, int], the number of bins in each dimension
+          (nx, ny = bins).
+        * If [array, array], the bin edges in each dimension
+          (x_edges, y_edges = bins).
+        * A combination [int, array] or [array, int], where int
+          is the number of bins and array is the bin edges.
+
+    range : array_like, shape(2,2), optional
+        The leftmost and rightmost edges of the bins along each dimension
+        (if not specified explicitly in the `bins` parameters):
+        ``[[xmin, xmax], [ymin, ymax]]``. All values outside of this range
+        will be considered outliers and not tallied in the histogram.
+    density : bool, optional
+        If False, the default, returns the number of samples in each bin.
+        If True, returns the probability *density* function at the bin,
+        ``bin_count / sample_count / bin_area``.
+    weights : array_like, shape(N,), optional
+        An array of values ``w_i`` weighing each sample ``(x_i, y_i)``.
+        Weights are normalized to 1 if `density` is True. If `density` is
+        False, the values of the returned histogram are equal to the sum of
+        the weights belonging to the samples falling into each bin.
+
+    Returns
+    -------
+    H : ndarray, shape(nx, ny)
+        The bi-dimensional histogram of samples `x` and `y`. Values in `x`
+        are histogrammed along the first dimension and values in `y` are
+        histogrammed along the second dimension.
+    xedges : ndarray, shape(nx+1,)
+        The bin edges along the first dimension.
+    yedges : ndarray, shape(ny+1,)
+        The bin edges along the second dimension.
+
+    See Also
+    --------
+    histogram : 1D histogram
+    histogramdd : Multidimensional histogram
+
+    Notes
+    -----
+    When `density` is True, then the returned histogram is the sample
+    density, defined such that the sum over bins of the product
+    ``bin_value * bin_area`` is 1.
+
+    Please note that the histogram does not follow the Cartesian convention
+    where `x` values are on the abscissa and `y` values on the ordinate
+    axis.  Rather, `x` is histogrammed along the first dimension of the
+    array (vertical), and `y` along the second dimension of the array
+    (horizontal).  This ensures compatibility with `histogramdd`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from matplotlib.image import NonUniformImage
+    >>> import matplotlib.pyplot as plt
+
+    Construct a 2-D histogram with variable bin width. First define the bin
+    edges:
+
+    >>> xedges = [0, 1, 3, 5]
+    >>> yedges = [0, 2, 3, 4, 6]
+
+    Next we create a histogram H with random bin content:
+
+    >>> x = np.random.normal(2, 1, 100)
+    >>> y = np.random.normal(1, 1, 100)
+    >>> H, xedges, yedges = np.histogram2d(x, y, bins=(xedges, yedges))
+    >>> # Histogram does not follow Cartesian convention (see Notes),
+    >>> # therefore transpose H for visualization purposes.
+    >>> H = H.T
+
+    :func:`imshow ` can only display square bins:
+
+    >>> fig = plt.figure(figsize=(7, 3))
+    >>> ax = fig.add_subplot(131, title='imshow: square bins')
+    >>> plt.imshow(H, interpolation='nearest', origin='lower',
+    ...         extent=[xedges[0], xedges[-1], yedges[0], yedges[-1]])
+    
+
+    :func:`pcolormesh ` can display actual edges:
+
+    >>> ax = fig.add_subplot(132, title='pcolormesh: actual edges',
+    ...         aspect='equal')
+    >>> X, Y = np.meshgrid(xedges, yedges)
+    >>> ax.pcolormesh(X, Y, H)
+    
+
+    :class:`NonUniformImage ` can be used to
+    display actual bin edges with interpolation:
+
+    >>> ax = fig.add_subplot(133, title='NonUniformImage: interpolated',
+    ...         aspect='equal', xlim=xedges[[0, -1]], ylim=yedges[[0, -1]])
+    >>> im = NonUniformImage(ax, interpolation='bilinear')
+    >>> xcenters = (xedges[:-1] + xedges[1:]) / 2
+    >>> ycenters = (yedges[:-1] + yedges[1:]) / 2
+    >>> im.set_data(xcenters, ycenters, H)
+    >>> ax.add_image(im)
+    >>> plt.show()
+
+    It is also possible to construct a 2-D histogram without specifying bin
+    edges:
+
+    >>> # Generate non-symmetric test data
+    >>> n = 10000
+    >>> x = np.linspace(1, 100, n)
+    >>> y = 2*np.log(x) + np.random.rand(n) - 0.5
+    >>> # Compute 2d histogram. Note the order of x/y and xedges/yedges
+    >>> H, yedges, xedges = np.histogram2d(y, x, bins=20)
+
+    Now we can plot the histogram using
+    :func:`pcolormesh `, and a
+    :func:`hexbin ` for comparison.
+
+    >>> # Plot histogram using pcolormesh
+    >>> fig, (ax1, ax2) = plt.subplots(ncols=2, sharey=True)
+    >>> ax1.pcolormesh(xedges, yedges, H, cmap='rainbow')
+    >>> ax1.plot(x, 2*np.log(x), 'k-')
+    >>> ax1.set_xlim(x.min(), x.max())
+    >>> ax1.set_ylim(y.min(), y.max())
+    >>> ax1.set_xlabel('x')
+    >>> ax1.set_ylabel('y')
+    >>> ax1.set_title('histogram2d')
+    >>> ax1.grid()
+
+    >>> # Create hexbin plot for comparison
+    >>> ax2.hexbin(x, y, gridsize=20, cmap='rainbow')
+    >>> ax2.plot(x, 2*np.log(x), 'k-')
+    >>> ax2.set_title('hexbin')
+    >>> ax2.set_xlim(x.min(), x.max())
+    >>> ax2.set_xlabel('x')
+    >>> ax2.grid()
+
+    >>> plt.show()
+    """
+    from numpy import histogramdd
+
+    if len(x) != len(y):
+        raise ValueError('x and y must have the same length.')
+
+    try:
+        N = len(bins)
+    except TypeError:
+        N = 1
+
+    if N != 1 and N != 2:
+        xedges = yedges = asarray(bins)
+        bins = [xedges, yedges]
+    hist, edges = histogramdd([x, y], bins, range, density, weights)
+    return hist, edges[0], edges[1]
+
+
+@set_module('numpy')
+def mask_indices(n, mask_func, k=0):
+    """
+    Return the indices to access (n, n) arrays, given a masking function.
+
+    Assume `mask_func` is a function that, for a square array a of size
+    ``(n, n)`` with a possible offset argument `k`, when called as
+    ``mask_func(a, k)`` returns a new array with zeros in certain locations
+    (functions like `triu` or `tril` do precisely this). Then this function
+    returns the indices where the non-zero values would be located.
+
+    Parameters
+    ----------
+    n : int
+        The returned indices will be valid to access arrays of shape (n, n).
+    mask_func : callable
+        A function whose call signature is similar to that of `triu`, `tril`.
+        That is, ``mask_func(x, k)`` returns a boolean array, shaped like `x`.
+        `k` is an optional argument to the function.
+    k : scalar
+        An optional argument which is passed through to `mask_func`. Functions
+        like `triu`, `tril` take a second argument that is interpreted as an
+        offset.
+
+    Returns
+    -------
+    indices : tuple of arrays.
+        The `n` arrays of indices corresponding to the locations where
+        ``mask_func(np.ones((n, n)), k)`` is True.
+
+    See Also
+    --------
+    triu, tril, triu_indices, tril_indices
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    These are the indices that would allow you to access the upper triangular
+    part of any 3x3 array:
+
+    >>> iu = np.mask_indices(3, np.triu)
+
+    For example, if `a` is a 3x3 array:
+
+    >>> a = np.arange(9).reshape(3, 3)
+    >>> a
+    array([[0, 1, 2],
+           [3, 4, 5],
+           [6, 7, 8]])
+    >>> a[iu]
+    array([0, 1, 2, 4, 5, 8])
+
+    An offset can be passed also to the masking function.  This gets us the
+    indices starting on the first diagonal right of the main one:
+
+    >>> iu1 = np.mask_indices(3, np.triu, 1)
+
+    with which we now extract only three elements:
+
+    >>> a[iu1]
+    array([1, 2, 5])
+
+    """
+    m = ones((n, n), int)
+    a = mask_func(m, k)
+    return nonzero(a != 0)
+
+
+@set_module('numpy')
+def tril_indices(n, k=0, m=None):
+    """
+    Return the indices for the lower-triangle of an (n, m) array.
+
+    Parameters
+    ----------
+    n : int
+        The row dimension of the arrays for which the returned
+        indices will be valid.
+    k : int, optional
+        Diagonal offset (see `tril` for details).
+    m : int, optional
+        The column dimension of the arrays for which the returned
+        arrays will be valid.
+        By default `m` is taken equal to `n`.
+
+
+    Returns
+    -------
+    inds : tuple of arrays
+        The row and column indices, respectively. The row indices are sorted
+        in non-decreasing order, and the correspdonding column indices are
+        strictly increasing for each row.
+
+    See also
+    --------
+    triu_indices : similar function, for upper-triangular.
+    mask_indices : generic function accepting an arbitrary mask function.
+    tril, triu
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Compute two different sets of indices to access 4x4 arrays, one for the
+    lower triangular part starting at the main diagonal, and one starting two
+    diagonals further right:
+
+    >>> il1 = np.tril_indices(4)
+    >>> il1
+    (array([0, 1, 1, 2, 2, 2, 3, 3, 3, 3]), array([0, 0, 1, 0, 1, 2, 0, 1, 2, 3]))
+
+    Note that row indices (first array) are non-decreasing, and the corresponding
+    column indices (second array) are strictly increasing for each row.
+    Here is how they can be used with a sample array:
+
+    >>> a = np.arange(16).reshape(4, 4)
+    >>> a
+    array([[ 0,  1,  2,  3],
+           [ 4,  5,  6,  7],
+           [ 8,  9, 10, 11],
+           [12, 13, 14, 15]])
+
+    Both for indexing:
+
+    >>> a[il1]
+    array([ 0,  4,  5, ..., 13, 14, 15])
+
+    And for assigning values:
+
+    >>> a[il1] = -1
+    >>> a
+    array([[-1,  1,  2,  3],
+           [-1, -1,  6,  7],
+           [-1, -1, -1, 11],
+           [-1, -1, -1, -1]])
+
+    These cover almost the whole array (two diagonals right of the main one):
+
+    >>> il2 = np.tril_indices(4, 2)
+    >>> a[il2] = -10
+    >>> a
+    array([[-10, -10, -10,   3],
+           [-10, -10, -10, -10],
+           [-10, -10, -10, -10],
+           [-10, -10, -10, -10]])
+
+    """
+    tri_ = tri(n, m, k=k, dtype=bool)
+
+    return tuple(broadcast_to(inds, tri_.shape)[tri_]
+                 for inds in indices(tri_.shape, sparse=True))
+
+
+def _trilu_indices_form_dispatcher(arr, k=None):
+    return (arr,)
+
+
+@array_function_dispatch(_trilu_indices_form_dispatcher)
+def tril_indices_from(arr, k=0):
+    """
+    Return the indices for the lower-triangle of arr.
+
+    See `tril_indices` for full details.
+
+    Parameters
+    ----------
+    arr : array_like
+        The indices will be valid for square arrays whose dimensions are
+        the same as arr.
+    k : int, optional
+        Diagonal offset (see `tril` for details).
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Create a 4 by 4 array
+
+    >>> a = np.arange(16).reshape(4, 4)
+    >>> a
+    array([[ 0,  1,  2,  3],
+           [ 4,  5,  6,  7],
+           [ 8,  9, 10, 11],
+           [12, 13, 14, 15]])
+
+    Pass the array to get the indices of the lower triangular elements.
+
+    >>> trili = np.tril_indices_from(a)
+    >>> trili
+    (array([0, 1, 1, 2, 2, 2, 3, 3, 3, 3]), array([0, 0, 1, 0, 1, 2, 0, 1, 2, 3]))
+
+    >>> a[trili]
+    array([ 0,  4,  5,  8,  9, 10, 12, 13, 14, 15])
+
+    This is syntactic sugar for tril_indices().
+
+    >>> np.tril_indices(a.shape[0])
+    (array([0, 1, 1, 2, 2, 2, 3, 3, 3, 3]), array([0, 0, 1, 0, 1, 2, 0, 1, 2, 3]))
+
+    Use the `k` parameter to return the indices for the lower triangular array
+    up to the k-th diagonal.
+
+    >>> trili1 = np.tril_indices_from(a, k=1)
+    >>> a[trili1]
+    array([ 0,  1,  4,  5,  6,  8,  9, 10, 11, 12, 13, 14, 15])
+
+    See Also
+    --------
+    tril_indices, tril, triu_indices_from
+    """
+    if arr.ndim != 2:
+        raise ValueError("input array must be 2-d")
+    return tril_indices(arr.shape[-2], k=k, m=arr.shape[-1])
+
+
+@set_module('numpy')
+def triu_indices(n, k=0, m=None):
+    """
+    Return the indices for the upper-triangle of an (n, m) array.
+
+    Parameters
+    ----------
+    n : int
+        The size of the arrays for which the returned indices will
+        be valid.
+    k : int, optional
+        Diagonal offset (see `triu` for details).
+    m : int, optional
+        The column dimension of the arrays for which the returned
+        arrays will be valid.
+        By default `m` is taken equal to `n`.
+
+
+    Returns
+    -------
+    inds : tuple, shape(2) of ndarrays, shape(`n`)
+        The row and column indices, respectively. The row indices are sorted
+        in non-decreasing order, and the correspdonding column indices are
+        strictly increasing for each row.
+
+    See also
+    --------
+    tril_indices : similar function, for lower-triangular.
+    mask_indices : generic function accepting an arbitrary mask function.
+    triu, tril
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Compute two different sets of indices to access 4x4 arrays, one for the
+    upper triangular part starting at the main diagonal, and one starting two
+    diagonals further right:
+
+    >>> iu1 = np.triu_indices(4)
+    >>> iu1
+    (array([0, 0, 0, 0, 1, 1, 1, 2, 2, 3]), array([0, 1, 2, 3, 1, 2, 3, 2, 3, 3]))
+
+    Note that row indices (first array) are non-decreasing, and the corresponding
+    column indices (second array) are strictly increasing for each row.
+
+    Here is how they can be used with a sample array:
+
+    >>> a = np.arange(16).reshape(4, 4)
+    >>> a
+    array([[ 0,  1,  2,  3],
+           [ 4,  5,  6,  7],
+           [ 8,  9, 10, 11],
+           [12, 13, 14, 15]])
+
+    Both for indexing:
+
+    >>> a[iu1]
+    array([ 0,  1,  2, ..., 10, 11, 15])
+
+    And for assigning values:
+
+    >>> a[iu1] = -1
+    >>> a
+    array([[-1, -1, -1, -1],
+           [ 4, -1, -1, -1],
+           [ 8,  9, -1, -1],
+           [12, 13, 14, -1]])
+
+    These cover only a small part of the whole array (two diagonals right
+    of the main one):
+
+    >>> iu2 = np.triu_indices(4, 2)
+    >>> a[iu2] = -10
+    >>> a
+    array([[ -1,  -1, -10, -10],
+           [  4,  -1,  -1, -10],
+           [  8,   9,  -1,  -1],
+           [ 12,  13,  14,  -1]])
+
+    """
+    tri_ = ~tri(n, m, k=k - 1, dtype=bool)
+
+    return tuple(broadcast_to(inds, tri_.shape)[tri_]
+                 for inds in indices(tri_.shape, sparse=True))
+
+
+@array_function_dispatch(_trilu_indices_form_dispatcher)
+def triu_indices_from(arr, k=0):
+    """
+    Return the indices for the upper-triangle of arr.
+
+    See `triu_indices` for full details.
+
+    Parameters
+    ----------
+    arr : ndarray, shape(N, N)
+        The indices will be valid for square arrays.
+    k : int, optional
+        Diagonal offset (see `triu` for details).
+
+    Returns
+    -------
+    triu_indices_from : tuple, shape(2) of ndarray, shape(N)
+        Indices for the upper-triangle of `arr`.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Create a 4 by 4 array
+
+    >>> a = np.arange(16).reshape(4, 4)
+    >>> a
+    array([[ 0,  1,  2,  3],
+           [ 4,  5,  6,  7],
+           [ 8,  9, 10, 11],
+           [12, 13, 14, 15]])
+
+    Pass the array to get the indices of the upper triangular elements.
+
+    >>> triui = np.triu_indices_from(a)
+    >>> triui
+    (array([0, 0, 0, 0, 1, 1, 1, 2, 2, 3]), array([0, 1, 2, 3, 1, 2, 3, 2, 3, 3]))
+
+    >>> a[triui]
+    array([ 0,  1,  2,  3,  5,  6,  7, 10, 11, 15])
+
+    This is syntactic sugar for triu_indices().
+
+    >>> np.triu_indices(a.shape[0])
+    (array([0, 0, 0, 0, 1, 1, 1, 2, 2, 3]), array([0, 1, 2, 3, 1, 2, 3, 2, 3, 3]))
+
+    Use the `k` parameter to return the indices for the upper triangular array
+    from the k-th diagonal.
+
+    >>> triuim1 = np.triu_indices_from(a, k=1)
+    >>> a[triuim1]
+    array([ 1,  2,  3,  6,  7, 11])
+
+
+    See Also
+    --------
+    triu_indices, triu, tril_indices_from
+    """
+    if arr.ndim != 2:
+        raise ValueError("input array must be 2-d")
+    return triu_indices(arr.shape[-2], k=k, m=arr.shape[-1])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_twodim_base_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_twodim_base_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..5d3ea54511b8c54efaa47ae4b7ecb71cd53b394a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_twodim_base_impl.pyi
@@ -0,0 +1,437 @@
+from collections.abc import Callable, Sequence
+from typing import (
+    Any,
+    TypeAlias,
+    overload,
+    TypeVar,
+    Literal as L,
+)
+
+import numpy as np
+from numpy import (
+    generic,
+    timedelta64,
+    datetime64,
+    int_,
+    intp,
+    float64,
+    complex128,
+    signedinteger,
+    floating,
+    complexfloating,
+    object_,
+    _OrderCF,
+)
+
+from numpy._typing import (
+    DTypeLike,
+    _DTypeLike,
+    ArrayLike,
+    _ArrayLike,
+    NDArray,
+    _SupportsArray,
+    _SupportsArrayFunc,
+    _ArrayLikeInt_co,
+    _ArrayLikeFloat_co,
+    _ArrayLikeComplex_co,
+    _ArrayLikeObject_co,
+)
+
+__all__ = [
+    "diag",
+    "diagflat",
+    "eye",
+    "fliplr",
+    "flipud",
+    "tri",
+    "triu",
+    "tril",
+    "vander",
+    "histogram2d",
+    "mask_indices",
+    "tril_indices",
+    "tril_indices_from",
+    "triu_indices",
+    "triu_indices_from",
+]
+
+###
+
+_T = TypeVar("_T")
+_SCT = TypeVar("_SCT", bound=generic)
+_SCT_complex = TypeVar("_SCT_complex", bound=np.complexfloating)
+_SCT_inexact = TypeVar("_SCT_inexact", bound=np.inexact)
+_SCT_number_co = TypeVar("_SCT_number_co", bound=_Number_co)
+
+# The returned arrays dtype must be compatible with `np.equal`
+_MaskFunc: TypeAlias = Callable[[NDArray[int_], _T], NDArray[_Number_co | timedelta64 | datetime64 | object_]]
+
+_Int_co: TypeAlias = np.integer | np.bool
+_Float_co: TypeAlias = np.floating | _Int_co
+_Number_co: TypeAlias = np.number | np.bool
+
+_ArrayLike1D: TypeAlias = _SupportsArray[np.dtype[_SCT]] | Sequence[_SCT]
+_ArrayLike1DInt_co: TypeAlias = _SupportsArray[np.dtype[_Int_co]] | Sequence[int | _Int_co]
+_ArrayLike1DFloat_co: TypeAlias = _SupportsArray[np.dtype[_Float_co]] | Sequence[float | _Float_co]
+_ArrayLike2DFloat_co: TypeAlias = _SupportsArray[np.dtype[_Float_co]] | Sequence[_ArrayLike1DFloat_co]
+_ArrayLike1DNumber_co: TypeAlias = _SupportsArray[np.dtype[_Number_co]] | Sequence[complex | _Number_co]
+
+###
+
+@overload
+def fliplr(m: _ArrayLike[_SCT]) -> NDArray[_SCT]: ...
+@overload
+def fliplr(m: ArrayLike) -> NDArray[Any]: ...
+
+@overload
+def flipud(m: _ArrayLike[_SCT]) -> NDArray[_SCT]: ...
+@overload
+def flipud(m: ArrayLike) -> NDArray[Any]: ...
+
+@overload
+def eye(
+    N: int,
+    M: None | int = ...,
+    k: int = ...,
+    dtype: None = ...,
+    order: _OrderCF = ...,
+    *,
+    device: None | L["cpu"] = ...,
+    like: None | _SupportsArrayFunc = ...,
+) -> NDArray[float64]: ...
+@overload
+def eye(
+    N: int,
+    M: None | int,
+    k: int,
+    dtype: _DTypeLike[_SCT],
+    order: _OrderCF = ...,
+    *,
+    device: None | L["cpu"] = ...,
+    like: None | _SupportsArrayFunc = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def eye(
+    N: int,
+    M: None | int = ...,
+    k: int = ...,
+    *,
+    dtype: _DTypeLike[_SCT],
+    order: _OrderCF = ...,
+    device: None | L["cpu"] = ...,
+    like: None | _SupportsArrayFunc = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def eye(
+    N: int,
+    M: None | int = ...,
+    k: int = ...,
+    dtype: DTypeLike = ...,
+    order: _OrderCF = ...,
+    *,
+    device: None | L["cpu"] = ...,
+    like: None | _SupportsArrayFunc = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def diag(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ...
+@overload
+def diag(v: ArrayLike, k: int = ...) -> NDArray[Any]: ...
+
+@overload
+def diagflat(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ...
+@overload
+def diagflat(v: ArrayLike, k: int = ...) -> NDArray[Any]: ...
+
+@overload
+def tri(
+    N: int,
+    M: None | int = ...,
+    k: int = ...,
+    dtype: None = ...,
+    *,
+    like: None | _SupportsArrayFunc = ...
+) -> NDArray[float64]: ...
+@overload
+def tri(
+    N: int,
+    M: None | int,
+    k: int,
+    dtype: _DTypeLike[_SCT],
+    *,
+    like: None | _SupportsArrayFunc = ...
+) -> NDArray[_SCT]: ...
+@overload
+def tri(
+    N: int,
+    M: None | int = ...,
+    k: int = ...,
+    *,
+    dtype: _DTypeLike[_SCT],
+    like: None | _SupportsArrayFunc = ...
+) -> NDArray[_SCT]: ...
+@overload
+def tri(
+    N: int,
+    M: None | int = ...,
+    k: int = ...,
+    dtype: DTypeLike = ...,
+    *,
+    like: None | _SupportsArrayFunc = ...
+) -> NDArray[Any]: ...
+
+@overload
+def tril(m: _ArrayLike[_SCT], k: int = 0) -> NDArray[_SCT]: ...
+@overload
+def tril(m: ArrayLike, k: int = 0) -> NDArray[Any]: ...
+
+@overload
+def triu(m: _ArrayLike[_SCT], k: int = 0) -> NDArray[_SCT]: ...
+@overload
+def triu(m: ArrayLike, k: int = 0) -> NDArray[Any]: ...
+
+@overload
+def vander(  # type: ignore[misc]
+    x: _ArrayLikeInt_co,
+    N: None | int = ...,
+    increasing: bool = ...,
+) -> NDArray[signedinteger[Any]]: ...
+@overload
+def vander(  # type: ignore[misc]
+    x: _ArrayLikeFloat_co,
+    N: None | int = ...,
+    increasing: bool = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def vander(
+    x: _ArrayLikeComplex_co,
+    N: None | int = ...,
+    increasing: bool = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def vander(
+    x: _ArrayLikeObject_co,
+    N: None | int = ...,
+    increasing: bool = ...,
+) -> NDArray[object_]: ...
+
+@overload
+def histogram2d(
+    x: _ArrayLike1D[_SCT_complex],
+    y: _ArrayLike1D[_SCT_complex | _Float_co],
+    bins: int | Sequence[int] = ...,
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_complex],
+    NDArray[_SCT_complex],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1D[_SCT_complex | _Float_co],
+    y: _ArrayLike1D[_SCT_complex],
+    bins: int | Sequence[int] = ...,
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_complex],
+    NDArray[_SCT_complex],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1D[_SCT_inexact],
+    y: _ArrayLike1D[_SCT_inexact | _Int_co],
+    bins: int | Sequence[int] = ...,
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_inexact],
+    NDArray[_SCT_inexact],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1D[_SCT_inexact | _Int_co],
+    y: _ArrayLike1D[_SCT_inexact],
+    bins: int | Sequence[int] = ...,
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_inexact],
+    NDArray[_SCT_inexact],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1DInt_co | Sequence[float | int],
+    y: _ArrayLike1DInt_co | Sequence[float | int],
+    bins: int | Sequence[int] = ...,
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[float64],
+    NDArray[float64],
+]: ...
+@overload
+def histogram2d(
+    x: Sequence[complex | float | int],
+    y: Sequence[complex | float | int],
+    bins: int | Sequence[int] = ...,
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[complex128 | float64],
+    NDArray[complex128 | float64],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1DNumber_co,
+    y: _ArrayLike1DNumber_co,
+    bins: _ArrayLike1D[_SCT_number_co] | Sequence[_ArrayLike1D[_SCT_number_co]],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_number_co],
+    NDArray[_SCT_number_co],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1D[_SCT_inexact],
+    y: _ArrayLike1D[_SCT_inexact],
+    bins: Sequence[_ArrayLike1D[_SCT_number_co] | int],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_number_co | _SCT_inexact],
+    NDArray[_SCT_number_co | _SCT_inexact],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1DInt_co | Sequence[float | int],
+    y: _ArrayLike1DInt_co | Sequence[float | int],
+    bins: Sequence[_ArrayLike1D[_SCT_number_co] | int],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_number_co | float64],
+    NDArray[_SCT_number_co | float64],
+]: ...
+@overload
+def histogram2d(
+    x: Sequence[complex | float | int],
+    y: Sequence[complex | float | int],
+    bins: Sequence[_ArrayLike1D[_SCT_number_co] | int],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[_SCT_number_co | complex128 | float64],
+    NDArray[_SCT_number_co | complex128 | float64] ,
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1DNumber_co,
+    y: _ArrayLike1DNumber_co,
+    bins: Sequence[Sequence[bool]],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[np.bool],
+    NDArray[np.bool],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1DNumber_co,
+    y: _ArrayLike1DNumber_co,
+    bins: Sequence[Sequence[int | bool]],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[np.int_ | np.bool],
+    NDArray[np.int_ | np.bool],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1DNumber_co,
+    y: _ArrayLike1DNumber_co,
+    bins: Sequence[Sequence[float | int | bool]],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[np.float64 | np.int_ | np.bool],
+    NDArray[np.float64 | np.int_ | np.bool],
+]: ...
+@overload
+def histogram2d(
+    x: _ArrayLike1DNumber_co,
+    y: _ArrayLike1DNumber_co,
+    bins: Sequence[Sequence[complex | float | int | bool]],
+    range: None | _ArrayLike2DFloat_co = ...,
+    density: None | bool = ...,
+    weights: None | _ArrayLike1DFloat_co = ...,
+) -> tuple[
+    NDArray[float64],
+    NDArray[np.complex128 | np.float64 | np.int_ | np.bool],
+    NDArray[np.complex128 | np.float64 | np.int_ | np.bool],
+]: ...
+
+# NOTE: we're assuming/demanding here the `mask_func` returns
+# an ndarray of shape `(n, n)`; otherwise there is the possibility
+# of the output tuple having more or less than 2 elements
+@overload
+def mask_indices(
+    n: int,
+    mask_func: _MaskFunc[int],
+    k: int = ...,
+) -> tuple[NDArray[intp], NDArray[intp]]: ...
+@overload
+def mask_indices(
+    n: int,
+    mask_func: _MaskFunc[_T],
+    k: _T,
+) -> tuple[NDArray[intp], NDArray[intp]]: ...
+
+def tril_indices(
+    n: int,
+    k: int = ...,
+    m: None | int = ...,
+) -> tuple[NDArray[int_], NDArray[int_]]: ...
+
+def tril_indices_from(
+    arr: NDArray[Any],
+    k: int = ...,
+) -> tuple[NDArray[int_], NDArray[int_]]: ...
+
+def triu_indices(
+    n: int,
+    k: int = ...,
+    m: None | int = ...,
+) -> tuple[NDArray[int_], NDArray[int_]]: ...
+
+def triu_indices_from(
+    arr: NDArray[Any],
+    k: int = ...,
+) -> tuple[NDArray[int_], NDArray[int_]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_type_check_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_type_check_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..e5c9ffbbb8d41049c17f65d56f5afe23a5d5bbcd
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_type_check_impl.py
@@ -0,0 +1,699 @@
+"""Automatically adapted for numpy Sep 19, 2005 by convertcode.py
+
+"""
+import functools
+
+__all__ = ['iscomplexobj', 'isrealobj', 'imag', 'iscomplex',
+           'isreal', 'nan_to_num', 'real', 'real_if_close',
+           'typename', 'mintypecode',
+           'common_type']
+
+from .._utils import set_module
+import numpy._core.numeric as _nx
+from numpy._core.numeric import asarray, asanyarray, isnan, zeros
+from numpy._core import overrides, getlimits
+from ._ufunclike_impl import isneginf, isposinf
+
+
+array_function_dispatch = functools.partial(
+    overrides.array_function_dispatch, module='numpy')
+
+
+_typecodes_by_elsize = 'GDFgdfQqLlIiHhBb?'
+
+
+@set_module('numpy')
+def mintypecode(typechars, typeset='GDFgdf', default='d'):
+    """
+    Return the character for the minimum-size type to which given types can
+    be safely cast.
+
+    The returned type character must represent the smallest size dtype such
+    that an array of the returned type can handle the data from an array of
+    all types in `typechars` (or if `typechars` is an array, then its
+    dtype.char).
+
+    Parameters
+    ----------
+    typechars : list of str or array_like
+        If a list of strings, each string should represent a dtype.
+        If array_like, the character representation of the array dtype is used.
+    typeset : str or list of str, optional
+        The set of characters that the returned character is chosen from.
+        The default set is 'GDFgdf'.
+    default : str, optional
+        The default character, this is returned if none of the characters in
+        `typechars` matches a character in `typeset`.
+
+    Returns
+    -------
+    typechar : str
+        The character representing the minimum-size type that was found.
+
+    See Also
+    --------
+    dtype
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.mintypecode(['d', 'f', 'S'])
+    'd'
+    >>> x = np.array([1.1, 2-3.j])
+    >>> np.mintypecode(x)
+    'D'
+
+    >>> np.mintypecode('abceh', default='G')
+    'G'
+
+    """
+    typecodes = ((isinstance(t, str) and t) or asarray(t).dtype.char
+                 for t in typechars)
+    intersection = set(t for t in typecodes if t in typeset)
+    if not intersection:
+        return default
+    if 'F' in intersection and 'd' in intersection:
+        return 'D'
+    return min(intersection, key=_typecodes_by_elsize.index)
+
+
+def _real_dispatcher(val):
+    return (val,)
+
+
+@array_function_dispatch(_real_dispatcher)
+def real(val):
+    """
+    Return the real part of the complex argument.
+
+    Parameters
+    ----------
+    val : array_like
+        Input array.
+
+    Returns
+    -------
+    out : ndarray or scalar
+        The real component of the complex argument. If `val` is real, the type
+        of `val` is used for the output.  If `val` has complex elements, the
+        returned type is float.
+
+    See Also
+    --------
+    real_if_close, imag, angle
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([1+2j, 3+4j, 5+6j])
+    >>> a.real
+    array([1.,  3.,  5.])
+    >>> a.real = 9
+    >>> a
+    array([9.+2.j,  9.+4.j,  9.+6.j])
+    >>> a.real = np.array([9, 8, 7])
+    >>> a
+    array([9.+2.j,  8.+4.j,  7.+6.j])
+    >>> np.real(1 + 1j)
+    1.0
+
+    """
+    try:
+        return val.real
+    except AttributeError:
+        return asanyarray(val).real
+
+
+def _imag_dispatcher(val):
+    return (val,)
+
+
+@array_function_dispatch(_imag_dispatcher)
+def imag(val):
+    """
+    Return the imaginary part of the complex argument.
+
+    Parameters
+    ----------
+    val : array_like
+        Input array.
+
+    Returns
+    -------
+    out : ndarray or scalar
+        The imaginary component of the complex argument. If `val` is real,
+        the type of `val` is used for the output.  If `val` has complex
+        elements, the returned type is float.
+
+    See Also
+    --------
+    real, angle, real_if_close
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([1+2j, 3+4j, 5+6j])
+    >>> a.imag
+    array([2.,  4.,  6.])
+    >>> a.imag = np.array([8, 10, 12])
+    >>> a
+    array([1. +8.j,  3.+10.j,  5.+12.j])
+    >>> np.imag(1 + 1j)
+    1.0
+
+    """
+    try:
+        return val.imag
+    except AttributeError:
+        return asanyarray(val).imag
+
+
+def _is_type_dispatcher(x):
+    return (x,)
+
+
+@array_function_dispatch(_is_type_dispatcher)
+def iscomplex(x):
+    """
+    Returns a bool array, where True if input element is complex.
+
+    What is tested is whether the input has a non-zero imaginary part, not if
+    the input type is complex.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array.
+
+    Returns
+    -------
+    out : ndarray of bools
+        Output array.
+
+    See Also
+    --------
+    isreal
+    iscomplexobj : Return True if x is a complex type or an array of complex
+                   numbers.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.iscomplex([1+1j, 1+0j, 4.5, 3, 2, 2j])
+    array([ True, False, False, False, False,  True])
+
+    """
+    ax = asanyarray(x)
+    if issubclass(ax.dtype.type, _nx.complexfloating):
+        return ax.imag != 0
+    res = zeros(ax.shape, bool)
+    return res[()]   # convert to scalar if needed
+
+
+@array_function_dispatch(_is_type_dispatcher)
+def isreal(x):
+    """
+    Returns a bool array, where True if input element is real.
+
+    If element has complex type with zero imaginary part, the return value
+    for that element is True.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array.
+
+    Returns
+    -------
+    out : ndarray, bool
+        Boolean array of same shape as `x`.
+
+    Notes
+    -----
+    `isreal` may behave unexpectedly for string or object arrays (see examples)
+
+    See Also
+    --------
+    iscomplex
+    isrealobj : Return True if x is not a complex type.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([1+1j, 1+0j, 4.5, 3, 2, 2j], dtype=complex)
+    >>> np.isreal(a)
+    array([False,  True,  True,  True,  True, False])
+
+    The function does not work on string arrays.
+
+    >>> a = np.array([2j, "a"], dtype="U")
+    >>> np.isreal(a)  # Warns about non-elementwise comparison
+    False
+
+    Returns True for all elements in input array of ``dtype=object`` even if
+    any of the elements is complex.
+
+    >>> a = np.array([1, "2", 3+4j], dtype=object)
+    >>> np.isreal(a)
+    array([ True,  True,  True])
+
+    isreal should not be used with object arrays
+
+    >>> a = np.array([1+2j, 2+1j], dtype=object)
+    >>> np.isreal(a)
+    array([ True,  True])
+
+    """
+    return imag(x) == 0
+
+
+@array_function_dispatch(_is_type_dispatcher)
+def iscomplexobj(x):
+    """
+    Check for a complex type or an array of complex numbers.
+
+    The type of the input is checked, not the value. Even if the input
+    has an imaginary part equal to zero, `iscomplexobj` evaluates to True.
+
+    Parameters
+    ----------
+    x : any
+        The input can be of any type and shape.
+
+    Returns
+    -------
+    iscomplexobj : bool
+        The return value, True if `x` is of a complex type or has at least
+        one complex element.
+
+    See Also
+    --------
+    isrealobj, iscomplex
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.iscomplexobj(1)
+    False
+    >>> np.iscomplexobj(1+0j)
+    True
+    >>> np.iscomplexobj([3, 1+0j, True])
+    True
+
+    """
+    try:
+        dtype = x.dtype
+        type_ = dtype.type
+    except AttributeError:
+        type_ = asarray(x).dtype.type
+    return issubclass(type_, _nx.complexfloating)
+
+
+@array_function_dispatch(_is_type_dispatcher)
+def isrealobj(x):
+    """
+    Return True if x is a not complex type or an array of complex numbers.
+
+    The type of the input is checked, not the value. So even if the input
+    has an imaginary part equal to zero, `isrealobj` evaluates to False
+    if the data type is complex.
+
+    Parameters
+    ----------
+    x : any
+        The input can be of any type and shape.
+
+    Returns
+    -------
+    y : bool
+        The return value, False if `x` is of a complex type.
+
+    See Also
+    --------
+    iscomplexobj, isreal
+
+    Notes
+    -----
+    The function is only meant for arrays with numerical values but it
+    accepts all other objects. Since it assumes array input, the return
+    value of other objects may be True.
+
+    >>> np.isrealobj('A string')
+    True
+    >>> np.isrealobj(False)
+    True
+    >>> np.isrealobj(None)
+    True
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.isrealobj(1)
+    True
+    >>> np.isrealobj(1+0j)
+    False
+    >>> np.isrealobj([3, 1+0j, True])
+    False
+
+    """
+    return not iscomplexobj(x)
+
+#-----------------------------------------------------------------------------
+
+def _getmaxmin(t):
+    from numpy._core import getlimits
+    f = getlimits.finfo(t)
+    return f.max, f.min
+
+
+def _nan_to_num_dispatcher(x, copy=None, nan=None, posinf=None, neginf=None):
+    return (x,)
+
+
+@array_function_dispatch(_nan_to_num_dispatcher)
+def nan_to_num(x, copy=True, nan=0.0, posinf=None, neginf=None):
+    """
+    Replace NaN with zero and infinity with large finite numbers (default
+    behaviour) or with the numbers defined by the user using the `nan`,
+    `posinf` and/or `neginf` keywords.
+
+    If `x` is inexact, NaN is replaced by zero or by the user defined value in
+    `nan` keyword, infinity is replaced by the largest finite floating point
+    values representable by ``x.dtype`` or by the user defined value in
+    `posinf` keyword and -infinity is replaced by the most negative finite
+    floating point values representable by ``x.dtype`` or by the user defined
+    value in `neginf` keyword.
+
+    For complex dtypes, the above is applied to each of the real and
+    imaginary components of `x` separately.
+
+    If `x` is not inexact, then no replacements are made.
+
+    Parameters
+    ----------
+    x : scalar or array_like
+        Input data.
+    copy : bool, optional
+        Whether to create a copy of `x` (True) or to replace values
+        in-place (False). The in-place operation only occurs if
+        casting to an array does not require a copy.
+        Default is True.
+    nan : int, float, optional
+        Value to be used to fill NaN values. If no value is passed
+        then NaN values will be replaced with 0.0.
+    posinf : int, float, optional
+        Value to be used to fill positive infinity values. If no value is
+        passed then positive infinity values will be replaced with a very
+        large number.
+    neginf : int, float, optional
+        Value to be used to fill negative infinity values. If no value is
+        passed then negative infinity values will be replaced with a very
+        small (or negative) number.
+
+    Returns
+    -------
+    out : ndarray
+        `x`, with the non-finite values replaced. If `copy` is False, this may
+        be `x` itself.
+
+    See Also
+    --------
+    isinf : Shows which elements are positive or negative infinity.
+    isneginf : Shows which elements are negative infinity.
+    isposinf : Shows which elements are positive infinity.
+    isnan : Shows which elements are Not a Number (NaN).
+    isfinite : Shows which elements are finite (not NaN, not infinity)
+
+    Notes
+    -----
+    NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
+    (IEEE 754). This means that Not a Number is not equivalent to infinity.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.nan_to_num(np.inf)
+    1.7976931348623157e+308
+    >>> np.nan_to_num(-np.inf)
+    -1.7976931348623157e+308
+    >>> np.nan_to_num(np.nan)
+    0.0
+    >>> x = np.array([np.inf, -np.inf, np.nan, -128, 128])
+    >>> np.nan_to_num(x)
+    array([ 1.79769313e+308, -1.79769313e+308,  0.00000000e+000, # may vary
+           -1.28000000e+002,  1.28000000e+002])
+    >>> np.nan_to_num(x, nan=-9999, posinf=33333333, neginf=33333333)
+    array([ 3.3333333e+07,  3.3333333e+07, -9.9990000e+03,
+           -1.2800000e+02,  1.2800000e+02])
+    >>> y = np.array([complex(np.inf, np.nan), np.nan, complex(np.nan, np.inf)])
+    array([  1.79769313e+308,  -1.79769313e+308,   0.00000000e+000, # may vary
+         -1.28000000e+002,   1.28000000e+002])
+    >>> np.nan_to_num(y)
+    array([  1.79769313e+308 +0.00000000e+000j, # may vary
+             0.00000000e+000 +0.00000000e+000j,
+             0.00000000e+000 +1.79769313e+308j])
+    >>> np.nan_to_num(y, nan=111111, posinf=222222)
+    array([222222.+111111.j, 111111.     +0.j, 111111.+222222.j])
+    """
+    x = _nx.array(x, subok=True, copy=copy)
+    xtype = x.dtype.type
+
+    isscalar = (x.ndim == 0)
+
+    if not issubclass(xtype, _nx.inexact):
+        return x[()] if isscalar else x
+
+    iscomplex = issubclass(xtype, _nx.complexfloating)
+
+    dest = (x.real, x.imag) if iscomplex else (x,)
+    maxf, minf = _getmaxmin(x.real.dtype)
+    if posinf is not None:
+        maxf = posinf
+    if neginf is not None:
+        minf = neginf
+    for d in dest:
+        idx_nan = isnan(d)
+        idx_posinf = isposinf(d)
+        idx_neginf = isneginf(d)
+        _nx.copyto(d, nan, where=idx_nan)
+        _nx.copyto(d, maxf, where=idx_posinf)
+        _nx.copyto(d, minf, where=idx_neginf)
+    return x[()] if isscalar else x
+
+#-----------------------------------------------------------------------------
+
+def _real_if_close_dispatcher(a, tol=None):
+    return (a,)
+
+
+@array_function_dispatch(_real_if_close_dispatcher)
+def real_if_close(a, tol=100):
+    """
+    If input is complex with all imaginary parts close to zero, return
+    real parts.
+
+    "Close to zero" is defined as `tol` * (machine epsilon of the type for
+    `a`).
+
+    Parameters
+    ----------
+    a : array_like
+        Input array.
+    tol : float
+        Tolerance in machine epsilons for the complex part of the elements
+        in the array. If the tolerance is <=1, then the absolute tolerance
+        is used.
+
+    Returns
+    -------
+    out : ndarray
+        If `a` is real, the type of `a` is used for the output.  If `a`
+        has complex elements, the returned type is float.
+
+    See Also
+    --------
+    real, imag, angle
+
+    Notes
+    -----
+    Machine epsilon varies from machine to machine and between data types
+    but Python floats on most platforms have a machine epsilon equal to
+    2.2204460492503131e-16.  You can use 'np.finfo(float).eps' to print
+    out the machine epsilon for floats.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.finfo(float).eps
+    2.2204460492503131e-16 # may vary
+
+    >>> np.real_if_close([2.1 + 4e-14j, 5.2 + 3e-15j], tol=1000)
+    array([2.1, 5.2])
+    >>> np.real_if_close([2.1 + 4e-13j, 5.2 + 3e-15j], tol=1000)
+    array([2.1+4.e-13j, 5.2 + 3e-15j])
+
+    """
+    a = asanyarray(a)
+    type_ = a.dtype.type
+    if not issubclass(type_, _nx.complexfloating):
+        return a
+    if tol > 1:
+        f = getlimits.finfo(type_)
+        tol = f.eps * tol
+    if _nx.all(_nx.absolute(a.imag) < tol):
+        a = a.real
+    return a
+
+
+#-----------------------------------------------------------------------------
+
+_namefromtype = {'S1': 'character',
+                 '?': 'bool',
+                 'b': 'signed char',
+                 'B': 'unsigned char',
+                 'h': 'short',
+                 'H': 'unsigned short',
+                 'i': 'integer',
+                 'I': 'unsigned integer',
+                 'l': 'long integer',
+                 'L': 'unsigned long integer',
+                 'q': 'long long integer',
+                 'Q': 'unsigned long long integer',
+                 'f': 'single precision',
+                 'd': 'double precision',
+                 'g': 'long precision',
+                 'F': 'complex single precision',
+                 'D': 'complex double precision',
+                 'G': 'complex long double precision',
+                 'S': 'string',
+                 'U': 'unicode',
+                 'V': 'void',
+                 'O': 'object'
+                 }
+
+@set_module('numpy')
+def typename(char):
+    """
+    Return a description for the given data type code.
+
+    Parameters
+    ----------
+    char : str
+        Data type code.
+
+    Returns
+    -------
+    out : str
+        Description of the input data type code.
+
+    See Also
+    --------
+    dtype
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> typechars = ['S1', '?', 'B', 'D', 'G', 'F', 'I', 'H', 'L', 'O', 'Q',
+    ...              'S', 'U', 'V', 'b', 'd', 'g', 'f', 'i', 'h', 'l', 'q']
+    >>> for typechar in typechars:
+    ...     print(typechar, ' : ', np.typename(typechar))
+    ...
+    S1  :  character
+    ?  :  bool
+    B  :  unsigned char
+    D  :  complex double precision
+    G  :  complex long double precision
+    F  :  complex single precision
+    I  :  unsigned integer
+    H  :  unsigned short
+    L  :  unsigned long integer
+    O  :  object
+    Q  :  unsigned long long integer
+    S  :  string
+    U  :  unicode
+    V  :  void
+    b  :  signed char
+    d  :  double precision
+    g  :  long precision
+    f  :  single precision
+    i  :  integer
+    h  :  short
+    l  :  long integer
+    q  :  long long integer
+
+    """
+    return _namefromtype[char]
+
+#-----------------------------------------------------------------------------
+
+
+#determine the "minimum common type" for a group of arrays.
+array_type = [[_nx.float16, _nx.float32, _nx.float64, _nx.longdouble],
+              [None, _nx.complex64, _nx.complex128, _nx.clongdouble]]
+array_precision = {_nx.float16: 0,
+                   _nx.float32: 1,
+                   _nx.float64: 2,
+                   _nx.longdouble: 3,
+                   _nx.complex64: 1,
+                   _nx.complex128: 2,
+                   _nx.clongdouble: 3}
+
+
+def _common_type_dispatcher(*arrays):
+    return arrays
+
+
+@array_function_dispatch(_common_type_dispatcher)
+def common_type(*arrays):
+    """
+    Return a scalar type which is common to the input arrays.
+
+    The return type will always be an inexact (i.e. floating point) scalar
+    type, even if all the arrays are integer arrays. If one of the inputs is
+    an integer array, the minimum precision type that is returned is a
+    64-bit floating point dtype.
+
+    All input arrays except int64 and uint64 can be safely cast to the
+    returned dtype without loss of information.
+
+    Parameters
+    ----------
+    array1, array2, ... : ndarrays
+        Input arrays.
+
+    Returns
+    -------
+    out : data type code
+        Data type code.
+
+    See Also
+    --------
+    dtype, mintypecode
+
+    Examples
+    --------
+    >>> np.common_type(np.arange(2, dtype=np.float32))
+    
+    >>> np.common_type(np.arange(2, dtype=np.float32), np.arange(2))
+    
+    >>> np.common_type(np.arange(4), np.array([45, 6.j]), np.array([45.0]))
+    
+
+    """
+    is_complex = False
+    precision = 0
+    for a in arrays:
+        t = a.dtype.type
+        if iscomplexobj(a):
+            is_complex = True
+        if issubclass(t, _nx.integer):
+            p = 2  # array_precision[_nx.double]
+        else:
+            p = array_precision.get(t)
+            if p is None:
+                raise TypeError("can't get common type for non-numeric array")
+        precision = max(precision, p)
+    if is_complex:
+        return array_type[1][precision]
+    else:
+        return array_type[0][precision]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_type_check_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_type_check_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..e195238103fa16d7051b7aa6b2ac5054a9c9a76b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_type_check_impl.pyi
@@ -0,0 +1,201 @@
+from collections.abc import Container, Iterable
+from typing import Literal as L, Any, overload, TypeVar
+
+import numpy as np
+from numpy import (
+    _HasRealAndImag,
+    dtype,
+    generic,
+    floating,
+    complexfloating,
+    integer,
+)
+
+from numpy._typing import (
+    ArrayLike,
+    NBitBase,
+    NDArray,
+    _64Bit,
+    _SupportsDType,
+    _ScalarLike_co,
+    _ArrayLike,
+)
+
+__all__ = [
+    "iscomplexobj",
+    "isrealobj",
+    "imag",
+    "iscomplex",
+    "isreal",
+    "nan_to_num",
+    "real",
+    "real_if_close",
+    "typename",
+    "mintypecode",
+    "common_type",
+]
+
+_T = TypeVar("_T")
+_T_co = TypeVar("_T_co", covariant=True)
+_SCT = TypeVar("_SCT", bound=generic)
+_NBit1 = TypeVar("_NBit1", bound=NBitBase)
+_NBit2 = TypeVar("_NBit2", bound=NBitBase)
+
+
+def mintypecode(
+    typechars: Iterable[str | ArrayLike],
+    typeset: Container[str] = ...,
+    default: str = ...,
+) -> str: ...
+
+@overload
+def real(val: _HasRealAndImag[_T, Any]) -> _T: ...
+@overload
+def real(val: ArrayLike) -> NDArray[Any]: ...
+
+@overload
+def imag(val: _HasRealAndImag[Any, _T]) -> _T: ...
+@overload
+def imag(val: ArrayLike) -> NDArray[Any]: ...
+
+@overload
+def iscomplex(x: _ScalarLike_co) -> np.bool: ...  # type: ignore[misc]
+@overload
+def iscomplex(x: ArrayLike) -> NDArray[np.bool]: ...
+
+@overload
+def isreal(x: _ScalarLike_co) -> np.bool: ...  # type: ignore[misc]
+@overload
+def isreal(x: ArrayLike) -> NDArray[np.bool]: ...
+
+def iscomplexobj(x: _SupportsDType[dtype[Any]] | ArrayLike) -> bool: ...
+
+def isrealobj(x: _SupportsDType[dtype[Any]] | ArrayLike) -> bool: ...
+
+@overload
+def nan_to_num(  # type: ignore[misc]
+    x: _SCT,
+    copy: bool = ...,
+    nan: float = ...,
+    posinf: None | float = ...,
+    neginf: None | float = ...,
+) -> _SCT: ...
+@overload
+def nan_to_num(
+    x: _ScalarLike_co,
+    copy: bool = ...,
+    nan: float = ...,
+    posinf: None | float = ...,
+    neginf: None | float = ...,
+) -> Any: ...
+@overload
+def nan_to_num(
+    x: _ArrayLike[_SCT],
+    copy: bool = ...,
+    nan: float = ...,
+    posinf: None | float = ...,
+    neginf: None | float = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def nan_to_num(
+    x: ArrayLike,
+    copy: bool = ...,
+    nan: float = ...,
+    posinf: None | float = ...,
+    neginf: None | float = ...,
+) -> NDArray[Any]: ...
+
+# If one passes a complex array to `real_if_close`, then one is reasonably
+# expected to verify the output dtype (so we can return an unsafe union here)
+
+@overload
+def real_if_close(  # type: ignore[misc]
+    a: _ArrayLike[complexfloating[_NBit1, _NBit1]],
+    tol: float = ...,
+) -> NDArray[floating[_NBit1]] | NDArray[complexfloating[_NBit1, _NBit1]]: ...
+@overload
+def real_if_close(
+    a: _ArrayLike[_SCT],
+    tol: float = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def real_if_close(
+    a: ArrayLike,
+    tol: float = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def typename(char: L['S1']) -> L['character']: ...
+@overload
+def typename(char: L['?']) -> L['bool']: ...
+@overload
+def typename(char: L['b']) -> L['signed char']: ...
+@overload
+def typename(char: L['B']) -> L['unsigned char']: ...
+@overload
+def typename(char: L['h']) -> L['short']: ...
+@overload
+def typename(char: L['H']) -> L['unsigned short']: ...
+@overload
+def typename(char: L['i']) -> L['integer']: ...
+@overload
+def typename(char: L['I']) -> L['unsigned integer']: ...
+@overload
+def typename(char: L['l']) -> L['long integer']: ...
+@overload
+def typename(char: L['L']) -> L['unsigned long integer']: ...
+@overload
+def typename(char: L['q']) -> L['long long integer']: ...
+@overload
+def typename(char: L['Q']) -> L['unsigned long long integer']: ...
+@overload
+def typename(char: L['f']) -> L['single precision']: ...
+@overload
+def typename(char: L['d']) -> L['double precision']: ...
+@overload
+def typename(char: L['g']) -> L['long precision']: ...
+@overload
+def typename(char: L['F']) -> L['complex single precision']: ...
+@overload
+def typename(char: L['D']) -> L['complex double precision']: ...
+@overload
+def typename(char: L['G']) -> L['complex long double precision']: ...
+@overload
+def typename(char: L['S']) -> L['string']: ...
+@overload
+def typename(char: L['U']) -> L['unicode']: ...
+@overload
+def typename(char: L['V']) -> L['void']: ...
+@overload
+def typename(char: L['O']) -> L['object']: ...
+
+@overload
+def common_type(  # type: ignore[misc]
+    *arrays: _SupportsDType[dtype[
+        integer[Any]
+    ]]
+) -> type[floating[_64Bit]]: ...
+@overload
+def common_type(  # type: ignore[misc]
+    *arrays: _SupportsDType[dtype[
+        floating[_NBit1]
+    ]]
+) -> type[floating[_NBit1]]: ...
+@overload
+def common_type(  # type: ignore[misc]
+    *arrays: _SupportsDType[dtype[
+        integer[Any] | floating[_NBit1]
+    ]]
+) -> type[floating[_NBit1 | _64Bit]]: ...
+@overload
+def common_type(  # type: ignore[misc]
+    *arrays: _SupportsDType[dtype[
+        floating[_NBit1] | complexfloating[_NBit2, _NBit2]
+    ]]
+) -> type[complexfloating[_NBit1 | _NBit2, _NBit1 | _NBit2]]: ...
+@overload
+def common_type(
+    *arrays: _SupportsDType[dtype[
+        integer[Any] | floating[_NBit1] | complexfloating[_NBit2, _NBit2]
+    ]]
+) -> type[complexfloating[_64Bit | _NBit1 | _NBit2, _64Bit | _NBit1 | _NBit2]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_ufunclike_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_ufunclike_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..695aab1b8922385da6ecb8eb4c0bfcba9742dd9c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_ufunclike_impl.py
@@ -0,0 +1,207 @@
+"""
+Module of functions that are like ufuncs in acting on arrays and optionally
+storing results in an output array.
+
+"""
+__all__ = ['fix', 'isneginf', 'isposinf']
+
+import numpy._core.numeric as nx
+from numpy._core.overrides import array_function_dispatch
+
+
+def _dispatcher(x, out=None):
+    return (x, out)
+
+
+@array_function_dispatch(_dispatcher, verify=False, module='numpy')
+def fix(x, out=None):
+    """
+    Round to nearest integer towards zero.
+
+    Round an array of floats element-wise to nearest integer towards zero.
+    The rounded values have the same data-type as the input.
+
+    Parameters
+    ----------
+    x : array_like
+        An array to be rounded
+    out : ndarray, optional
+        A location into which the result is stored. If provided, it must have
+        a shape that the input broadcasts to. If not provided or None, a
+        freshly-allocated array is returned.
+
+    Returns
+    -------
+    out : ndarray of floats
+        An array with the same dimensions and data-type as the input.
+        If second argument is not supplied then a new array is returned
+        with the rounded values.
+
+        If a second argument is supplied the result is stored there.
+        The return value ``out`` is then a reference to that array.
+
+    See Also
+    --------
+    rint, trunc, floor, ceil
+    around : Round to given number of decimals
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.fix(3.14)
+    3.0
+    >>> np.fix(3)
+    3
+    >>> np.fix([2.1, 2.9, -2.1, -2.9])
+    array([ 2.,  2., -2., -2.])
+
+    """
+    # promote back to an array if flattened
+    res = nx.asanyarray(nx.ceil(x, out=out))
+    res = nx.floor(x, out=res, where=nx.greater_equal(x, 0))
+
+    # when no out argument is passed and no subclasses are involved, flatten
+    # scalars
+    if out is None and type(res) is nx.ndarray:
+        res = res[()]
+    return res
+
+
+@array_function_dispatch(_dispatcher, verify=False, module='numpy')
+def isposinf(x, out=None):
+    """
+    Test element-wise for positive infinity, return result as bool array.
+
+    Parameters
+    ----------
+    x : array_like
+        The input array.
+    out : array_like, optional
+        A location into which the result is stored. If provided, it must have a
+        shape that the input broadcasts to. If not provided or None, a
+        freshly-allocated boolean array is returned.
+
+    Returns
+    -------
+    out : ndarray
+        A boolean array with the same dimensions as the input.
+        If second argument is not supplied then a boolean array is returned
+        with values True where the corresponding element of the input is
+        positive infinity and values False where the element of the input is
+        not positive infinity.
+
+        If a second argument is supplied the result is stored there. If the
+        type of that array is a numeric type the result is represented as zeros
+        and ones, if the type is boolean then as False and True.
+        The return value `out` is then a reference to that array.
+
+    See Also
+    --------
+    isinf, isneginf, isfinite, isnan
+
+    Notes
+    -----
+    NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
+    (IEEE 754).
+
+    Errors result if the second argument is also supplied when x is a scalar
+    input, if first and second arguments have different shapes, or if the
+    first argument has complex values
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.isposinf(np.inf)
+    True
+    >>> np.isposinf(-np.inf)
+    False
+    >>> np.isposinf([-np.inf, 0., np.inf])
+    array([False, False,  True])
+
+    >>> x = np.array([-np.inf, 0., np.inf])
+    >>> y = np.array([2, 2, 2])
+    >>> np.isposinf(x, y)
+    array([0, 0, 1])
+    >>> y
+    array([0, 0, 1])
+
+    """
+    is_inf = nx.isinf(x)
+    try:
+        signbit = ~nx.signbit(x)
+    except TypeError as e:
+        dtype = nx.asanyarray(x).dtype
+        raise TypeError(f'This operation is not supported for {dtype} values '
+                        'because it would be ambiguous.') from e
+    else:
+        return nx.logical_and(is_inf, signbit, out)
+
+
+@array_function_dispatch(_dispatcher, verify=False, module='numpy')
+def isneginf(x, out=None):
+    """
+    Test element-wise for negative infinity, return result as bool array.
+
+    Parameters
+    ----------
+    x : array_like
+        The input array.
+    out : array_like, optional
+        A location into which the result is stored. If provided, it must have a
+        shape that the input broadcasts to. If not provided or None, a
+        freshly-allocated boolean array is returned.
+
+    Returns
+    -------
+    out : ndarray
+        A boolean array with the same dimensions as the input.
+        If second argument is not supplied then a numpy boolean array is
+        returned with values True where the corresponding element of the
+        input is negative infinity and values False where the element of
+        the input is not negative infinity.
+
+        If a second argument is supplied the result is stored there. If the
+        type of that array is a numeric type the result is represented as
+        zeros and ones, if the type is boolean then as False and True. The
+        return value `out` is then a reference to that array.
+
+    See Also
+    --------
+    isinf, isposinf, isnan, isfinite
+
+    Notes
+    -----
+    NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
+    (IEEE 754).
+
+    Errors result if the second argument is also supplied when x is a scalar
+    input, if first and second arguments have different shapes, or if the
+    first argument has complex values.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.isneginf(-np.inf)
+    True
+    >>> np.isneginf(np.inf)
+    False
+    >>> np.isneginf([-np.inf, 0., np.inf])
+    array([ True, False, False])
+
+    >>> x = np.array([-np.inf, 0., np.inf])
+    >>> y = np.array([2, 2, 2])
+    >>> np.isneginf(x, y)
+    array([1, 0, 0])
+    >>> y
+    array([1, 0, 0])
+
+    """
+    is_inf = nx.isinf(x)
+    try:
+        signbit = nx.signbit(x)
+    except TypeError as e:
+        dtype = nx.asanyarray(x).dtype
+        raise TypeError(f'This operation is not supported for {dtype} values '
+                        'because it would be ambiguous.') from e
+    else:
+        return nx.logical_and(is_inf, signbit, out)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_ufunclike_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_ufunclike_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..8d87ae8bf4c62067e1b19e8b83ac6b951620168d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_ufunclike_impl.pyi
@@ -0,0 +1,67 @@
+from typing import Any, overload, TypeVar
+
+import numpy as np
+from numpy import floating, object_
+from numpy._typing import (
+    NDArray,
+    _FloatLike_co,
+    _ArrayLikeFloat_co,
+    _ArrayLikeObject_co,
+)
+
+__all__ = ["fix", "isneginf", "isposinf"]
+
+_ArrayType = TypeVar("_ArrayType", bound=NDArray[Any])
+
+@overload
+def fix(  # type: ignore[misc]
+    x: _FloatLike_co,
+    out: None = ...,
+) -> floating[Any]: ...
+@overload
+def fix(
+    x: _ArrayLikeFloat_co,
+    out: None = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def fix(
+    x: _ArrayLikeObject_co,
+    out: None = ...,
+) -> NDArray[object_]: ...
+@overload
+def fix(
+    x: _ArrayLikeFloat_co | _ArrayLikeObject_co,
+    out: _ArrayType,
+) -> _ArrayType: ...
+
+@overload
+def isposinf(  # type: ignore[misc]
+    x: _FloatLike_co,
+    out: None = ...,
+) -> np.bool: ...
+@overload
+def isposinf(
+    x: _ArrayLikeFloat_co,
+    out: None = ...,
+) -> NDArray[np.bool]: ...
+@overload
+def isposinf(
+    x: _ArrayLikeFloat_co,
+    out: _ArrayType,
+) -> _ArrayType: ...
+
+@overload
+def isneginf(  # type: ignore[misc]
+    x: _FloatLike_co,
+    out: None = ...,
+) -> np.bool: ...
+@overload
+def isneginf(
+    x: _ArrayLikeFloat_co,
+    out: None = ...,
+) -> NDArray[np.bool]: ...
+@overload
+def isneginf(
+    x: _ArrayLikeFloat_co,
+    out: _ArrayType,
+) -> _ArrayType: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_user_array_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_user_array_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..cae6e0556687a471f28558fb13dd013b966328e4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_user_array_impl.py
@@ -0,0 +1,291 @@
+"""
+Container class for backward compatibility with NumArray.
+
+The user_array.container class exists for backward compatibility with NumArray
+and is not meant to be used in new code. If you need to create an array
+container class, we recommend either creating a class that wraps an ndarray
+or subclasses ndarray.
+
+"""
+from numpy._core import (
+    array, asarray, absolute, add, subtract, multiply, divide,
+    remainder, power, left_shift, right_shift, bitwise_and, bitwise_or,
+    bitwise_xor, invert, less, less_equal, not_equal, equal, greater,
+    greater_equal, shape, reshape, arange, sin, sqrt, transpose
+)
+from numpy._core.overrides import set_module
+
+
+@set_module("numpy.lib.user_array")
+class container:
+    """
+    container(data, dtype=None, copy=True)
+
+    Standard container-class for easy multiple-inheritance.
+
+    Methods
+    -------
+    copy
+    tostring
+    byteswap
+    astype
+
+    """
+    def __init__(self, data, dtype=None, copy=True):
+        self.array = array(data, dtype, copy=copy)
+
+    def __repr__(self):
+        if self.ndim > 0:
+            return self.__class__.__name__ + repr(self.array)[len("array"):]
+        else:
+            return self.__class__.__name__ + "(" + repr(self.array) + ")"
+
+    def __array__(self, t=None):
+        if t:
+            return self.array.astype(t)
+        return self.array
+
+    # Array as sequence
+    def __len__(self):
+        return len(self.array)
+
+    def __getitem__(self, index):
+        return self._rc(self.array[index])
+
+    def __setitem__(self, index, value):
+        self.array[index] = asarray(value, self.dtype)
+
+    def __abs__(self):
+        return self._rc(absolute(self.array))
+
+    def __neg__(self):
+        return self._rc(-self.array)
+
+    def __add__(self, other):
+        return self._rc(self.array + asarray(other))
+
+    __radd__ = __add__
+
+    def __iadd__(self, other):
+        add(self.array, other, self.array)
+        return self
+
+    def __sub__(self, other):
+        return self._rc(self.array - asarray(other))
+
+    def __rsub__(self, other):
+        return self._rc(asarray(other) - self.array)
+
+    def __isub__(self, other):
+        subtract(self.array, other, self.array)
+        return self
+
+    def __mul__(self, other):
+        return self._rc(multiply(self.array, asarray(other)))
+
+    __rmul__ = __mul__
+
+    def __imul__(self, other):
+        multiply(self.array, other, self.array)
+        return self
+
+    def __div__(self, other):
+        return self._rc(divide(self.array, asarray(other)))
+
+    def __rdiv__(self, other):
+        return self._rc(divide(asarray(other), self.array))
+
+    def __idiv__(self, other):
+        divide(self.array, other, self.array)
+        return self
+
+    def __mod__(self, other):
+        return self._rc(remainder(self.array, other))
+
+    def __rmod__(self, other):
+        return self._rc(remainder(other, self.array))
+
+    def __imod__(self, other):
+        remainder(self.array, other, self.array)
+        return self
+
+    def __divmod__(self, other):
+        return (self._rc(divide(self.array, other)),
+                self._rc(remainder(self.array, other)))
+
+    def __rdivmod__(self, other):
+        return (self._rc(divide(other, self.array)),
+                self._rc(remainder(other, self.array)))
+
+    def __pow__(self, other):
+        return self._rc(power(self.array, asarray(other)))
+
+    def __rpow__(self, other):
+        return self._rc(power(asarray(other), self.array))
+
+    def __ipow__(self, other):
+        power(self.array, other, self.array)
+        return self
+
+    def __lshift__(self, other):
+        return self._rc(left_shift(self.array, other))
+
+    def __rshift__(self, other):
+        return self._rc(right_shift(self.array, other))
+
+    def __rlshift__(self, other):
+        return self._rc(left_shift(other, self.array))
+
+    def __rrshift__(self, other):
+        return self._rc(right_shift(other, self.array))
+
+    def __ilshift__(self, other):
+        left_shift(self.array, other, self.array)
+        return self
+
+    def __irshift__(self, other):
+        right_shift(self.array, other, self.array)
+        return self
+
+    def __and__(self, other):
+        return self._rc(bitwise_and(self.array, other))
+
+    def __rand__(self, other):
+        return self._rc(bitwise_and(other, self.array))
+
+    def __iand__(self, other):
+        bitwise_and(self.array, other, self.array)
+        return self
+
+    def __xor__(self, other):
+        return self._rc(bitwise_xor(self.array, other))
+
+    def __rxor__(self, other):
+        return self._rc(bitwise_xor(other, self.array))
+
+    def __ixor__(self, other):
+        bitwise_xor(self.array, other, self.array)
+        return self
+
+    def __or__(self, other):
+        return self._rc(bitwise_or(self.array, other))
+
+    def __ror__(self, other):
+        return self._rc(bitwise_or(other, self.array))
+
+    def __ior__(self, other):
+        bitwise_or(self.array, other, self.array)
+        return self
+
+    def __pos__(self):
+        return self._rc(self.array)
+
+    def __invert__(self):
+        return self._rc(invert(self.array))
+
+    def _scalarfunc(self, func):
+        if self.ndim == 0:
+            return func(self[0])
+        else:
+            raise TypeError(
+                "only rank-0 arrays can be converted to Python scalars.")
+
+    def __complex__(self):
+        return self._scalarfunc(complex)
+
+    def __float__(self):
+        return self._scalarfunc(float)
+
+    def __int__(self):
+        return self._scalarfunc(int)
+
+    def __hex__(self):
+        return self._scalarfunc(hex)
+
+    def __oct__(self):
+        return self._scalarfunc(oct)
+
+    def __lt__(self, other):
+        return self._rc(less(self.array, other))
+
+    def __le__(self, other):
+        return self._rc(less_equal(self.array, other))
+
+    def __eq__(self, other):
+        return self._rc(equal(self.array, other))
+
+    def __ne__(self, other):
+        return self._rc(not_equal(self.array, other))
+
+    def __gt__(self, other):
+        return self._rc(greater(self.array, other))
+
+    def __ge__(self, other):
+        return self._rc(greater_equal(self.array, other))
+
+    def copy(self):
+        ""
+        return self._rc(self.array.copy())
+
+    def tostring(self):
+        ""
+        return self.array.tostring()
+
+    def tobytes(self):
+        ""
+        return self.array.tobytes()
+
+    def byteswap(self):
+        ""
+        return self._rc(self.array.byteswap())
+
+    def astype(self, typecode):
+        ""
+        return self._rc(self.array.astype(typecode))
+
+    def _rc(self, a):
+        if len(shape(a)) == 0:
+            return a
+        else:
+            return self.__class__(a)
+
+    def __array_wrap__(self, *args):
+        return self.__class__(args[0])
+
+    def __setattr__(self, attr, value):
+        if attr == 'array':
+            object.__setattr__(self, attr, value)
+            return
+        try:
+            self.array.__setattr__(attr, value)
+        except AttributeError:
+            object.__setattr__(self, attr, value)
+
+    # Only called after other approaches fail.
+    def __getattr__(self, attr):
+        if (attr == 'array'):
+            return object.__getattribute__(self, attr)
+        return self.array.__getattribute__(attr)
+
+
+#############################################################
+# Test of class container
+#############################################################
+if __name__ == '__main__':
+    temp = reshape(arange(10000), (100, 100))
+
+    ua = container(temp)
+    # new object created begin test
+    print(dir(ua))
+    print(shape(ua), ua.shape)  # I have changed Numeric.py
+
+    ua_small = ua[:3, :5]
+    print(ua_small)
+    # this did not change ua[0,0], which is not normal behavior
+    ua_small[0, 0] = 10
+    print(ua_small[0, 0], ua[0, 0])
+    print(sin(ua_small) / 3. * 6. + sqrt(ua_small ** 2))
+    print(less(ua_small, 103), type(less(ua_small, 103)))
+    print(type(ua_small * reshape(arange(15), shape(ua_small))))
+    print(reshape(ua_small, (5, 3)))
+    print(transpose(ua_small))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_user_array_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_user_array_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..d5dfb0573c7150a9287e3ff5497546b0ad6a59f1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_user_array_impl.pyi
@@ -0,0 +1,220 @@
+from types import EllipsisType
+from typing import Any, Generic, SupportsIndex, TypeAlias, TypeVar, overload
+
+from _typeshed import Incomplete
+from typing_extensions import Self, deprecated, override
+
+import numpy as np
+import numpy.typing as npt
+from numpy._typing import _ArrayLike, _ArrayLikeBool_co, _ArrayLikeInt_co, _DTypeLike
+
+###
+
+_ScalarT = TypeVar("_ScalarT", bound=np.generic)
+_ShapeT = TypeVar("_ShapeT", bound=tuple[int, ...])
+_ShapeT_co = TypeVar("_ShapeT_co", bound=tuple[int, ...], default=Any, covariant=True)
+_DTypeT = TypeVar("_DTypeT", bound=np.dtype[Any])
+_DTypeT_co = TypeVar("_DTypeT_co", bound=np.dtype[Any], default=np.dtype[Any], covariant=True)
+
+_BoolArrayT = TypeVar("_BoolArrayT", bound=container[Any, np.dtype[np.bool]])
+_IntegralArrayT = TypeVar("_IntegralArrayT", bound=container[Any, np.dtype[np.bool | np.integer | np.object_]])
+_RealContainerT = TypeVar(
+    "_RealContainerT",
+    bound=container[Any, np.dtype[np.bool | np.integer | np.floating | np.timedelta64 | np.object_]],
+)
+_NumericContainerT = TypeVar("_NumericContainerT", bound=container[Any, np.dtype[np.number | np.timedelta64 | np.object_]])
+
+_ArrayInt_co: TypeAlias = npt.NDArray[np.integer | np.bool]
+
+_ToIndexSlice: TypeAlias = slice | EllipsisType | _ArrayInt_co | None
+_ToIndexSlices: TypeAlias = _ToIndexSlice | tuple[_ToIndexSlice, ...]
+_ToIndex: TypeAlias = SupportsIndex | _ToIndexSlice
+_ToIndices: TypeAlias = _ToIndex | tuple[_ToIndex, ...]
+
+###
+
+class container(Generic[_ShapeT_co, _DTypeT_co]):
+    array: np.ndarray[_ShapeT_co, _DTypeT_co]
+
+    @overload
+    def __init__(
+        self,
+        /,
+        data: container[_ShapeT_co, _DTypeT_co] | np.ndarray[_ShapeT_co, _DTypeT_co],
+        dtype: None = None,
+        copy: bool = True,
+    ) -> None: ...
+    @overload
+    def __init__(
+        self: container[Any, np.dtype[_ScalarT]],
+        /,
+        data: _ArrayLike[_ScalarT],
+        dtype: None = None,
+        copy: bool = True,
+    ) -> None: ...
+    @overload
+    def __init__(
+        self: container[Any, np.dtype[_ScalarT]],
+        /,
+        data: npt.ArrayLike,
+        dtype: _DTypeLike[_ScalarT],
+        copy: bool = True,
+    ) -> None: ...
+    @overload
+    def __init__(self, /, data: npt.ArrayLike, dtype: npt.DTypeLike | None = None, copy: bool = True) -> None: ...
+
+    #
+    def __complex__(self, /) -> complex: ...
+    def __float__(self, /) -> float: ...
+    def __int__(self, /) -> int: ...
+    def __hex__(self, /) -> str: ...
+    def __oct__(self, /) -> str: ...
+
+    #
+    @override
+    def __eq__(self, other: object, /) -> container[_ShapeT_co, np.dtype[np.bool]]: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleMethodOverride]
+    @override
+    def __ne__(self, other: object, /) -> container[_ShapeT_co, np.dtype[np.bool]]: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleMethodOverride]
+
+    #
+    def __lt__(self, other: npt.ArrayLike, /) -> container[_ShapeT_co, np.dtype[np.bool]]: ...
+    def __le__(self, other: npt.ArrayLike, /) -> container[_ShapeT_co, np.dtype[np.bool]]: ...
+    def __gt__(self, other: npt.ArrayLike, /) -> container[_ShapeT_co, np.dtype[np.bool]]: ...
+    def __ge__(self, other: npt.ArrayLike, /) -> container[_ShapeT_co, np.dtype[np.bool]]: ...
+
+    #
+    def __len__(self, /) -> int: ...
+
+    # keep in sync with np.ndarray
+    @overload
+    def __getitem__(self, key: _ArrayInt_co | tuple[_ArrayInt_co, ...], /) -> container[_ShapeT_co, _DTypeT_co]: ...
+    @overload
+    def __getitem__(self, key: _ToIndexSlices, /) -> container[Any, _DTypeT_co]: ...
+    @overload
+    def __getitem__(self, key: _ToIndices, /) -> Any: ...
+    @overload
+    def __getitem__(self: container[Any, np.dtype[np.void]], key: list[str], /) -> container[_ShapeT_co, np.dtype[np.void]]: ...
+    @overload
+    def __getitem__(self: container[Any, np.dtype[np.void]], key: str, /) -> container[_ShapeT_co, np.dtype[Any]]: ...
+
+    # keep in sync with np.ndarray
+    @overload
+    def __setitem__(self, index: _ToIndices, value: object, /) -> None: ...
+    @overload
+    def __setitem__(self: container[Any, np.dtype[np.void]], key: str | list[str], value: object, /) -> None: ...
+
+    # keep in sync with np.ndarray
+    @overload
+    def __abs__(self: container[_ShapeT, np.dtype[np.complex64]], /) -> container[_ShapeT, np.dtype[np.float32]]: ...  # type: ignore[overload-overlap]
+    @overload
+    def __abs__(self: container[_ShapeT, np.dtype[np.complex128]], /) -> container[_ShapeT, np.dtype[np.float64]]: ...
+    @overload
+    def __abs__(self: container[_ShapeT, np.dtype[np.complex192]], /) -> container[_ShapeT, np.dtype[np.float96]]: ...
+    @overload
+    def __abs__(self: container[_ShapeT, np.dtype[np.complex256]], /) -> container[_ShapeT, np.dtype[np.float128]]: ...
+    @overload
+    def __abs__(self: _RealContainerT, /) -> _RealContainerT: ...
+
+    #
+    def __neg__(self: _NumericContainerT, /) -> _NumericContainerT: ...  # noqa: PYI019
+    def __pos__(self: _NumericContainerT, /) -> _NumericContainerT: ...  # noqa: PYI019
+    def __invert__(self: _IntegralArrayT, /) -> _IntegralArrayT: ...  # noqa: PYI019
+
+    # TODO(jorenham): complete these binary ops
+
+    #
+    def __add__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __radd__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __iadd__(self, other: npt.ArrayLike, /) -> Self: ...
+
+    #
+    def __sub__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __rsub__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __isub__(self, other: npt.ArrayLike, /) -> Self: ...
+
+    #
+    def __mul__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __rmul__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __imul__(self, other: npt.ArrayLike, /) -> Self: ...
+
+    #
+    def __div__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __rdiv__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __idiv__(self, other: npt.ArrayLike, /) -> Self: ...
+
+    #
+    def __mod__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __rmod__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __imod__(self, other: npt.ArrayLike, /) -> Self: ...
+
+    #
+    def __divmod__(self, other: npt.ArrayLike, /) -> tuple[Incomplete, Incomplete]: ...
+    def __rdivmod__(self, other: npt.ArrayLike, /) -> tuple[Incomplete, Incomplete]: ...
+
+    #
+    def __pow__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __rpow__(self, other: npt.ArrayLike, /) -> Incomplete: ...
+    def __ipow__(self, other: npt.ArrayLike, /) -> Self: ...
+
+    #
+    def __lshift__(self, other: _ArrayLikeInt_co, /) -> container[Any, np.dtype[np.integer]]: ...
+    def __rlshift__(self, other: _ArrayLikeInt_co, /) -> container[Any, np.dtype[np.integer]]: ...
+    def __ilshift__(self, other: _ArrayLikeInt_co, /) -> Self: ...
+
+    #
+    def __rshift__(self, other: _ArrayLikeInt_co, /) -> container[Any, np.dtype[np.integer]]: ...
+    def __rrshift__(self, other: _ArrayLikeInt_co, /) -> container[Any, np.dtype[np.integer]]: ...
+    def __irshift__(self, other: _ArrayLikeInt_co, /) -> Self: ...
+
+    #
+    @overload
+    def __and__(self: container[Any, np.dtype[np.bool]], other: _ArrayLikeBool_co, /) -> container[Any, np.dtype[np.bool]]: ...
+    @overload
+    def __and__(self, other: _ArrayLikeInt_co, /) -> container[Any, np.dtype[np.bool | np.integer]]: ...
+    __rand__ = __and__
+    @overload
+    def __iand__(self: _BoolArrayT, other: _ArrayLikeBool_co, /) -> _BoolArrayT: ...
+    @overload
+    def __iand__(self, other: _ArrayLikeInt_co, /) -> Self: ...
+
+    #
+    @overload
+    def __xor__(self: container[Any, np.dtype[np.bool]], other: _ArrayLikeBool_co, /) -> container[Any, np.dtype[np.bool]]: ...
+    @overload
+    def __xor__(self, other: _ArrayLikeInt_co, /) -> container[Any, np.dtype[np.bool | np.integer]]: ...
+    __rxor__ = __xor__
+    @overload
+    def __ixor__(self: _BoolArrayT, other: _ArrayLikeBool_co, /) -> _BoolArrayT: ...
+    @overload
+    def __ixor__(self, other: _ArrayLikeInt_co, /) -> Self: ...
+
+    #
+    @overload
+    def __or__(self: container[Any, np.dtype[np.bool]], other: _ArrayLikeBool_co, /) -> container[Any, np.dtype[np.bool]]: ...
+    @overload
+    def __or__(self, other: _ArrayLikeInt_co, /) -> container[Any, np.dtype[np.bool | np.integer]]: ...
+    __ror__ = __or__
+    @overload
+    def __ior__(self: _BoolArrayT, other: _ArrayLikeBool_co, /) -> _BoolArrayT: ...
+    @overload
+    def __ior__(self, other: _ArrayLikeInt_co, /) -> Self: ...
+
+    #
+    @overload
+    def __array__(self, /, t: None = None) -> np.ndarray[_ShapeT_co, _DTypeT_co]: ...
+    @overload
+    def __array__(self, /, t: _DTypeT) -> np.ndarray[_ShapeT_co, _DTypeT]: ...
+
+    #
+    @overload
+    def __array_wrap__(self, arg0: npt.ArrayLike, /) -> container[_ShapeT_co, _DTypeT_co]: ...
+    @overload
+    def __array_wrap__(self, a: np.ndarray[_ShapeT, _DTypeT], c: Any = ..., s: Any = ..., /) -> container[_ShapeT, _DTypeT]: ...
+
+    #
+    def copy(self, /) -> Self: ...
+    @deprecated("tostring() is deprecated. Use tobytes() instead.")
+    def tostring(self, /) -> bytes: ...
+    def tobytes(self, /) -> bytes: ...
+    def byteswap(self, /) -> Self: ...
+    def astype(self, /, typecode: _DTypeLike[_ScalarT]) -> container[_ShapeT_co, np.dtype[_ScalarT]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_utils_impl.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_utils_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..c2f0f31d7bfcc7e96bf7936887788817319ddc5e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_utils_impl.py
@@ -0,0 +1,775 @@
+import os
+import sys
+import textwrap
+import types
+import warnings
+import functools
+import platform
+
+from numpy._core import ndarray
+from numpy._utils import set_module
+import numpy as np
+
+__all__ = [
+    'get_include', 'info', 'show_runtime'
+]
+
+
+@set_module('numpy')
+def show_runtime():
+    """
+    Print information about various resources in the system
+    including available intrinsic support and BLAS/LAPACK library
+    in use
+
+    .. versionadded:: 1.24.0
+
+    See Also
+    --------
+    show_config : Show libraries in the system on which NumPy was built.
+
+    Notes
+    -----
+    1. Information is derived with the help of `threadpoolctl `_
+       library if available.
+    2. SIMD related information is derived from ``__cpu_features__``,
+       ``__cpu_baseline__`` and ``__cpu_dispatch__``
+
+    """
+    from numpy._core._multiarray_umath import (
+        __cpu_features__, __cpu_baseline__, __cpu_dispatch__
+    )
+    from pprint import pprint
+    config_found = [{
+        "numpy_version": np.__version__,
+        "python": sys.version,
+        "uname": platform.uname(),
+        }]
+    features_found, features_not_found = [], []
+    for feature in __cpu_dispatch__:
+        if __cpu_features__[feature]:
+            features_found.append(feature)
+        else:
+            features_not_found.append(feature)
+    config_found.append({
+        "simd_extensions": {
+            "baseline": __cpu_baseline__,
+            "found": features_found,
+            "not_found": features_not_found
+        }
+    })
+    try:
+        from threadpoolctl import threadpool_info
+        config_found.extend(threadpool_info())
+    except ImportError:
+        print("WARNING: `threadpoolctl` not found in system!"
+              " Install it by `pip install threadpoolctl`."
+              " Once installed, try `np.show_runtime` again"
+              " for more detailed build information")
+    pprint(config_found)
+
+
+@set_module('numpy')
+def get_include():
+    """
+    Return the directory that contains the NumPy \\*.h header files.
+
+    Extension modules that need to compile against NumPy may need to use this
+    function to locate the appropriate include directory.
+
+    Notes
+    -----
+    When using ``setuptools``, for example in ``setup.py``::
+
+        import numpy as np
+        ...
+        Extension('extension_name', ...
+                  include_dirs=[np.get_include()])
+        ...
+
+    Note that a CLI tool ``numpy-config`` was introduced in NumPy 2.0, using
+    that is likely preferred for build systems other than ``setuptools``::
+
+        $ numpy-config --cflags
+        -I/path/to/site-packages/numpy/_core/include
+
+        # Or rely on pkg-config:
+        $ export PKG_CONFIG_PATH=$(numpy-config --pkgconfigdir)
+        $ pkg-config --cflags
+        -I/path/to/site-packages/numpy/_core/include
+
+    Examples
+    --------
+    >>> np.get_include()
+    '.../site-packages/numpy/core/include'  # may vary
+
+    """
+    import numpy
+    if numpy.show_config is None:
+        # running from numpy source directory
+        d = os.path.join(os.path.dirname(numpy.__file__), '_core', 'include')
+    else:
+        # using installed numpy core headers
+        import numpy._core as _core
+        d = os.path.join(os.path.dirname(_core.__file__), 'include')
+    return d
+
+
+class _Deprecate:
+    """
+    Decorator class to deprecate old functions.
+
+    Refer to `deprecate` for details.
+
+    See Also
+    --------
+    deprecate
+
+    """
+
+    def __init__(self, old_name=None, new_name=None, message=None):
+        self.old_name = old_name
+        self.new_name = new_name
+        self.message = message
+
+    def __call__(self, func, *args, **kwargs):
+        """
+        Decorator call.  Refer to ``decorate``.
+
+        """
+        old_name = self.old_name
+        new_name = self.new_name
+        message = self.message
+
+        if old_name is None:
+            old_name = func.__name__
+        if new_name is None:
+            depdoc = "`%s` is deprecated!" % old_name
+        else:
+            depdoc = "`%s` is deprecated, use `%s` instead!" % \
+                     (old_name, new_name)
+
+        if message is not None:
+            depdoc += "\n" + message
+
+        @functools.wraps(func)
+        def newfunc(*args, **kwds):
+            warnings.warn(depdoc, DeprecationWarning, stacklevel=2)
+            return func(*args, **kwds)
+
+        newfunc.__name__ = old_name
+        doc = func.__doc__
+        if doc is None:
+            doc = depdoc
+        else:
+            lines = doc.expandtabs().split('\n')
+            indent = _get_indent(lines[1:])
+            if lines[0].lstrip():
+                # Indent the original first line to let inspect.cleandoc()
+                # dedent the docstring despite the deprecation notice.
+                doc = indent * ' ' + doc
+            else:
+                # Remove the same leading blank lines as cleandoc() would.
+                skip = len(lines[0]) + 1
+                for line in lines[1:]:
+                    if len(line) > indent:
+                        break
+                    skip += len(line) + 1
+                doc = doc[skip:]
+            depdoc = textwrap.indent(depdoc, ' ' * indent)
+            doc = f'{depdoc}\n\n{doc}'
+        newfunc.__doc__ = doc
+
+        return newfunc
+
+
+def _get_indent(lines):
+    """
+    Determines the leading whitespace that could be removed from all the lines.
+    """
+    indent = sys.maxsize
+    for line in lines:
+        content = len(line.lstrip())
+        if content:
+            indent = min(indent, len(line) - content)
+    if indent == sys.maxsize:
+        indent = 0
+    return indent
+
+
+def deprecate(*args, **kwargs):
+    """
+    Issues a DeprecationWarning, adds warning to `old_name`'s
+    docstring, rebinds ``old_name.__name__`` and returns the new
+    function object.
+
+    This function may also be used as a decorator.
+
+    .. deprecated:: 2.0
+        Use `~warnings.warn` with :exc:`DeprecationWarning` instead.
+
+    Parameters
+    ----------
+    func : function
+        The function to be deprecated.
+    old_name : str, optional
+        The name of the function to be deprecated. Default is None, in
+        which case the name of `func` is used.
+    new_name : str, optional
+        The new name for the function. Default is None, in which case the
+        deprecation message is that `old_name` is deprecated. If given, the
+        deprecation message is that `old_name` is deprecated and `new_name`
+        should be used instead.
+    message : str, optional
+        Additional explanation of the deprecation.  Displayed in the
+        docstring after the warning.
+
+    Returns
+    -------
+    old_func : function
+        The deprecated function.
+
+    Examples
+    --------
+    Note that ``olduint`` returns a value after printing Deprecation
+    Warning:
+
+    >>> olduint = np.lib.utils.deprecate(np.uint)
+    DeprecationWarning: `uint64` is deprecated! # may vary
+    >>> olduint(6)
+    6
+
+    """
+    # Deprecate may be run as a function or as a decorator
+    # If run as a function, we initialise the decorator class
+    # and execute its __call__ method.
+
+    # Deprecated in NumPy 2.0, 2023-07-11
+    warnings.warn(
+        "`deprecate` is deprecated, "
+        "use `warn` with `DeprecationWarning` instead. "
+        "(deprecated in NumPy 2.0)",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    if args:
+        fn = args[0]
+        args = args[1:]
+
+        return _Deprecate(*args, **kwargs)(fn)
+    else:
+        return _Deprecate(*args, **kwargs)
+
+
+def deprecate_with_doc(msg):
+    """
+    Deprecates a function and includes the deprecation in its docstring.
+
+    .. deprecated:: 2.0
+        Use `~warnings.warn` with :exc:`DeprecationWarning` instead.
+
+    This function is used as a decorator. It returns an object that can be
+    used to issue a DeprecationWarning, by passing the to-be decorated
+    function as argument, this adds warning to the to-be decorated function's
+    docstring and returns the new function object.
+
+    See Also
+    --------
+    deprecate : Decorate a function such that it issues a
+                :exc:`DeprecationWarning`
+
+    Parameters
+    ----------
+    msg : str
+        Additional explanation of the deprecation. Displayed in the
+        docstring after the warning.
+
+    Returns
+    -------
+    obj : object
+
+    """
+
+    # Deprecated in NumPy 2.0, 2023-07-11
+    warnings.warn(
+        "`deprecate` is deprecated, "
+        "use `warn` with `DeprecationWarning` instead. "
+        "(deprecated in NumPy 2.0)",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    return _Deprecate(message=msg)
+
+
+#-----------------------------------------------------------------------------
+
+
+# NOTE:  pydoc defines a help function which works similarly to this
+#  except it uses a pager to take over the screen.
+
+# combine name and arguments and split to multiple lines of width
+# characters.  End lines on a comma and begin argument list indented with
+# the rest of the arguments.
+def _split_line(name, arguments, width):
+    firstwidth = len(name)
+    k = firstwidth
+    newstr = name
+    sepstr = ", "
+    arglist = arguments.split(sepstr)
+    for argument in arglist:
+        if k == firstwidth:
+            addstr = ""
+        else:
+            addstr = sepstr
+        k = k + len(argument) + len(addstr)
+        if k > width:
+            k = firstwidth + 1 + len(argument)
+            newstr = newstr + ",\n" + " "*(firstwidth+2) + argument
+        else:
+            newstr = newstr + addstr + argument
+    return newstr
+
+_namedict = None
+_dictlist = None
+
+# Traverse all module directories underneath globals
+# to see if something is defined
+def _makenamedict(module='numpy'):
+    module = __import__(module, globals(), locals(), [])
+    thedict = {module.__name__:module.__dict__}
+    dictlist = [module.__name__]
+    totraverse = [module.__dict__]
+    while True:
+        if len(totraverse) == 0:
+            break
+        thisdict = totraverse.pop(0)
+        for x in thisdict.keys():
+            if isinstance(thisdict[x], types.ModuleType):
+                modname = thisdict[x].__name__
+                if modname not in dictlist:
+                    moddict = thisdict[x].__dict__
+                    dictlist.append(modname)
+                    totraverse.append(moddict)
+                    thedict[modname] = moddict
+    return thedict, dictlist
+
+
+def _info(obj, output=None):
+    """Provide information about ndarray obj.
+
+    Parameters
+    ----------
+    obj : ndarray
+        Must be ndarray, not checked.
+    output
+        Where printed output goes.
+
+    Notes
+    -----
+    Copied over from the numarray module prior to its removal.
+    Adapted somewhat as only numpy is an option now.
+
+    Called by info.
+
+    """
+    extra = ""
+    tic = ""
+    bp = lambda x: x
+    cls = getattr(obj, '__class__', type(obj))
+    nm = getattr(cls, '__name__', cls)
+    strides = obj.strides
+    endian = obj.dtype.byteorder
+
+    if output is None:
+        output = sys.stdout
+
+    print("class: ", nm, file=output)
+    print("shape: ", obj.shape, file=output)
+    print("strides: ", strides, file=output)
+    print("itemsize: ", obj.itemsize, file=output)
+    print("aligned: ", bp(obj.flags.aligned), file=output)
+    print("contiguous: ", bp(obj.flags.contiguous), file=output)
+    print("fortran: ", obj.flags.fortran, file=output)
+    print(
+        "data pointer: %s%s" % (hex(obj.ctypes._as_parameter_.value), extra),
+        file=output
+        )
+    print("byteorder: ", end=' ', file=output)
+    if endian in ['|', '=']:
+        print("%s%s%s" % (tic, sys.byteorder, tic), file=output)
+        byteswap = False
+    elif endian == '>':
+        print("%sbig%s" % (tic, tic), file=output)
+        byteswap = sys.byteorder != "big"
+    else:
+        print("%slittle%s" % (tic, tic), file=output)
+        byteswap = sys.byteorder != "little"
+    print("byteswap: ", bp(byteswap), file=output)
+    print("type: %s" % obj.dtype, file=output)
+
+
+@set_module('numpy')
+def info(object=None, maxwidth=76, output=None, toplevel='numpy'):
+    """
+    Get help information for an array, function, class, or module.
+
+    Parameters
+    ----------
+    object : object or str, optional
+        Input object or name to get information about. If `object` is
+        an `ndarray` instance, information about the array is printed.
+        If `object` is a numpy object, its docstring is given. If it is
+        a string, available modules are searched for matching objects.
+        If None, information about `info` itself is returned.
+    maxwidth : int, optional
+        Printing width.
+    output : file like object, optional
+        File like object that the output is written to, default is
+        ``None``, in which case ``sys.stdout`` will be used.
+        The object has to be opened in 'w' or 'a' mode.
+    toplevel : str, optional
+        Start search at this level.
+
+    Notes
+    -----
+    When used interactively with an object, ``np.info(obj)`` is equivalent
+    to ``help(obj)`` on the Python prompt or ``obj?`` on the IPython
+    prompt.
+
+    Examples
+    --------
+    >>> np.info(np.polyval) # doctest: +SKIP
+       polyval(p, x)
+         Evaluate the polynomial p at x.
+         ...
+
+    When using a string for `object` it is possible to get multiple results.
+
+    >>> np.info('fft') # doctest: +SKIP
+         *** Found in numpy ***
+    Core FFT routines
+    ...
+         *** Found in numpy.fft ***
+     fft(a, n=None, axis=-1)
+    ...
+         *** Repeat reference found in numpy.fft.fftpack ***
+         *** Total of 3 references found. ***
+
+    When the argument is an array, information about the array is printed.
+
+    >>> a = np.array([[1 + 2j, 3, -4], [-5j, 6, 0]], dtype=np.complex64)
+    >>> np.info(a)
+    class:  ndarray
+    shape:  (2, 3)
+    strides:  (24, 8)
+    itemsize:  8
+    aligned:  True
+    contiguous:  True
+    fortran:  False
+    data pointer: 0x562b6e0d2860  # may vary
+    byteorder:  little
+    byteswap:  False
+    type: complex64
+
+    """
+    global _namedict, _dictlist
+    # Local import to speed up numpy's import time.
+    import pydoc
+    import inspect
+
+    if (hasattr(object, '_ppimport_importer') or
+           hasattr(object, '_ppimport_module')):
+        object = object._ppimport_module
+    elif hasattr(object, '_ppimport_attr'):
+        object = object._ppimport_attr
+
+    if output is None:
+        output = sys.stdout
+
+    if object is None:
+        info(info)
+    elif isinstance(object, ndarray):
+        _info(object, output=output)
+    elif isinstance(object, str):
+        if _namedict is None:
+            _namedict, _dictlist = _makenamedict(toplevel)
+        numfound = 0
+        objlist = []
+        for namestr in _dictlist:
+            try:
+                obj = _namedict[namestr][object]
+                if id(obj) in objlist:
+                    print("\n     "
+                          "*** Repeat reference found in %s *** " % namestr,
+                          file=output
+                          )
+                else:
+                    objlist.append(id(obj))
+                    print("     *** Found in %s ***" % namestr, file=output)
+                    info(obj)
+                    print("-"*maxwidth, file=output)
+                numfound += 1
+            except KeyError:
+                pass
+        if numfound == 0:
+            print("Help for %s not found." % object, file=output)
+        else:
+            print("\n     "
+                  "*** Total of %d references found. ***" % numfound,
+                  file=output
+                  )
+
+    elif inspect.isfunction(object) or inspect.ismethod(object):
+        name = object.__name__
+        try:
+            arguments = str(inspect.signature(object))
+        except Exception:
+            arguments = "()"
+
+        if len(name+arguments) > maxwidth:
+            argstr = _split_line(name, arguments, maxwidth)
+        else:
+            argstr = name + arguments
+
+        print(" " + argstr + "\n", file=output)
+        print(inspect.getdoc(object), file=output)
+
+    elif inspect.isclass(object):
+        name = object.__name__
+        try:
+            arguments = str(inspect.signature(object))
+        except Exception:
+            arguments = "()"
+
+        if len(name+arguments) > maxwidth:
+            argstr = _split_line(name, arguments, maxwidth)
+        else:
+            argstr = name + arguments
+
+        print(" " + argstr + "\n", file=output)
+        doc1 = inspect.getdoc(object)
+        if doc1 is None:
+            if hasattr(object, '__init__'):
+                print(inspect.getdoc(object.__init__), file=output)
+        else:
+            print(inspect.getdoc(object), file=output)
+
+        methods = pydoc.allmethods(object)
+
+        public_methods = [meth for meth in methods if meth[0] != '_']
+        if public_methods:
+            print("\n\nMethods:\n", file=output)
+            for meth in public_methods:
+                thisobj = getattr(object, meth, None)
+                if thisobj is not None:
+                    methstr, other = pydoc.splitdoc(
+                            inspect.getdoc(thisobj) or "None"
+                            )
+                print("  %s  --  %s" % (meth, methstr), file=output)
+
+    elif hasattr(object, '__doc__'):
+        print(inspect.getdoc(object), file=output)
+
+
+def safe_eval(source):
+    """
+    Protected string evaluation.
+
+    .. deprecated:: 2.0
+        Use `ast.literal_eval` instead.
+
+    Evaluate a string containing a Python literal expression without
+    allowing the execution of arbitrary non-literal code.
+
+    .. warning::
+
+        This function is identical to :py:meth:`ast.literal_eval` and
+        has the same security implications.  It may not always be safe
+        to evaluate large input strings.
+
+    Parameters
+    ----------
+    source : str
+        The string to evaluate.
+
+    Returns
+    -------
+    obj : object
+       The result of evaluating `source`.
+
+    Raises
+    ------
+    SyntaxError
+        If the code has invalid Python syntax, or if it contains
+        non-literal code.
+
+    Examples
+    --------
+    >>> np.safe_eval('1')
+    1
+    >>> np.safe_eval('[1, 2, 3]')
+    [1, 2, 3]
+    >>> np.safe_eval('{"foo": ("bar", 10.0)}')
+    {'foo': ('bar', 10.0)}
+
+    >>> np.safe_eval('import os')
+    Traceback (most recent call last):
+      ...
+    SyntaxError: invalid syntax
+
+    >>> np.safe_eval('open("/home/user/.ssh/id_dsa").read()')
+    Traceback (most recent call last):
+      ...
+    ValueError: malformed node or string: <_ast.Call object at 0x...>
+
+    """
+
+    # Deprecated in NumPy 2.0, 2023-07-11
+    warnings.warn(
+        "`safe_eval` is deprecated. Use `ast.literal_eval` instead. "
+        "Be aware of security implications, such as memory exhaustion "
+        "based attacks (deprecated in NumPy 2.0)",
+        DeprecationWarning,
+        stacklevel=2
+    )
+
+    # Local import to speed up numpy's import time.
+    import ast
+    return ast.literal_eval(source)
+
+
+def _median_nancheck(data, result, axis):
+    """
+    Utility function to check median result from data for NaN values at the end
+    and return NaN in that case. Input result can also be a MaskedArray.
+
+    Parameters
+    ----------
+    data : array
+        Sorted input data to median function
+    result : Array or MaskedArray
+        Result of median function.
+    axis : int
+        Axis along which the median was computed.
+
+    Returns
+    -------
+    result : scalar or ndarray
+        Median or NaN in axes which contained NaN in the input.  If the input
+        was an array, NaN will be inserted in-place.  If a scalar, either the
+        input itself or a scalar NaN.
+    """
+    if data.size == 0:
+        return result
+    potential_nans = data.take(-1, axis=axis)
+    n = np.isnan(potential_nans)
+    # masked NaN values are ok, although for masked the copyto may fail for
+    # unmasked ones (this was always broken) when the result is a scalar.
+    if np.ma.isMaskedArray(n):
+        n = n.filled(False)
+
+    if not n.any():
+        return result
+
+    # Without given output, it is possible that the current result is a
+    # numpy scalar, which is not writeable.  If so, just return nan.
+    if isinstance(result, np.generic):
+        return potential_nans
+
+    # Otherwise copy NaNs (if there are any)
+    np.copyto(result, potential_nans, where=n)
+    return result
+
+def _opt_info():
+    """
+    Returns a string containing the CPU features supported
+    by the current build.
+
+    The format of the string can be explained as follows:
+        - Dispatched features supported by the running machine end with `*`.
+        - Dispatched features not supported by the running machine
+          end with `?`.
+        - Remaining features represent the baseline.
+
+    Returns:
+        str: A formatted string indicating the supported CPU features.
+    """
+    from numpy._core._multiarray_umath import (
+        __cpu_features__, __cpu_baseline__, __cpu_dispatch__
+    )
+
+    if len(__cpu_baseline__) == 0 and len(__cpu_dispatch__) == 0:
+        return ''
+
+    enabled_features = ' '.join(__cpu_baseline__)
+    for feature in __cpu_dispatch__:
+        if __cpu_features__[feature]:
+            enabled_features += f" {feature}*"
+        else:
+            enabled_features += f" {feature}?"
+
+    return enabled_features
+
+def drop_metadata(dtype, /):
+    """
+    Returns the dtype unchanged if it contained no metadata or a copy of the
+    dtype if it (or any of its structure dtypes) contained metadata.
+
+    This utility is used by `np.save` and `np.savez` to drop metadata before
+    saving.
+
+    .. note::
+
+        Due to its limitation this function may move to a more appropriate
+        home or change in the future and is considered semi-public API only.
+
+    .. warning::
+
+        This function does not preserve more strange things like record dtypes
+        and user dtypes may simply return the wrong thing.  If you need to be
+        sure about the latter, check the result with:
+        ``np.can_cast(new_dtype, dtype, casting="no")``.
+
+    """
+    if dtype.fields is not None:
+        found_metadata = dtype.metadata is not None
+
+        names = []
+        formats = []
+        offsets = []
+        titles = []
+        for name, field in dtype.fields.items():
+            field_dt = drop_metadata(field[0])
+            if field_dt is not field[0]:
+                found_metadata = True
+
+            names.append(name)
+            formats.append(field_dt)
+            offsets.append(field[1])
+            titles.append(None if len(field) < 3 else field[2])
+
+        if not found_metadata:
+            return dtype
+
+        structure = dict(
+            names=names, formats=formats, offsets=offsets, titles=titles,
+            itemsize=dtype.itemsize)
+
+        # NOTE: Could pass (dtype.type, structure) to preserve record dtypes...
+        return np.dtype(structure, align=dtype.isalignedstruct)
+    elif dtype.subdtype is not None:
+        # subarray dtype
+        subdtype, shape = dtype.subdtype
+        new_subdtype = drop_metadata(subdtype)
+        if dtype.metadata is None and new_subdtype is subdtype:
+            return dtype
+
+        return np.dtype((new_subdtype, shape))
+    else:
+        # Normal unstructured dtype
+        if dtype.metadata is None:
+            return dtype
+        # Note that `dt.str` doesn't round-trip e.g. for user-dtypes.
+        return np.dtype(dtype.str)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_utils_impl.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_utils_impl.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..2a9eb76a5b381ecb476af0e6fdf6d839c4a10f66
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_utils_impl.pyi
@@ -0,0 +1,7 @@
+from _typeshed import SupportsWrite
+
+__all__ = ["get_include", "info", "show_runtime"]
+
+def get_include() -> str: ...
+def show_runtime() -> None: ...
+def info(object: object = ..., maxwidth: int = ..., output: SupportsWrite[str] | None = ..., toplevel: str = ...) -> None: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_version.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_version.py
new file mode 100644
index 0000000000000000000000000000000000000000..929f8a1c6685d587663086a78f6379dd6ba684ee
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_version.py
@@ -0,0 +1,155 @@
+"""Utility to compare (NumPy) version strings.
+
+The NumpyVersion class allows properly comparing numpy version strings.
+The LooseVersion and StrictVersion classes that distutils provides don't
+work; they don't recognize anything like alpha/beta/rc/dev versions.
+
+"""
+import re
+
+
+__all__ = ['NumpyVersion']
+
+
+class NumpyVersion:
+    """Parse and compare numpy version strings.
+
+    NumPy has the following versioning scheme (numbers given are examples; they
+    can be > 9 in principle):
+
+    - Released version: '1.8.0', '1.8.1', etc.
+    - Alpha: '1.8.0a1', '1.8.0a2', etc.
+    - Beta: '1.8.0b1', '1.8.0b2', etc.
+    - Release candidates: '1.8.0rc1', '1.8.0rc2', etc.
+    - Development versions: '1.8.0.dev-f1234afa' (git commit hash appended)
+    - Development versions after a1: '1.8.0a1.dev-f1234afa',
+                                     '1.8.0b2.dev-f1234afa',
+                                     '1.8.1rc1.dev-f1234afa', etc.
+    - Development versions (no git hash available): '1.8.0.dev-Unknown'
+
+    Comparing needs to be done against a valid version string or other
+    `NumpyVersion` instance. Note that all development versions of the same
+    (pre-)release compare equal.
+
+    Parameters
+    ----------
+    vstring : str
+        NumPy version string (``np.__version__``).
+
+    Examples
+    --------
+    >>> from numpy.lib import NumpyVersion
+    >>> if NumpyVersion(np.__version__) < '1.7.0':
+    ...     print('skip')
+    >>> # skip
+
+    >>> NumpyVersion('1.7')  # raises ValueError, add ".0"
+    Traceback (most recent call last):
+        ...
+    ValueError: Not a valid numpy version string
+
+    """
+
+    __module__ = "numpy.lib"
+
+    def __init__(self, vstring):
+        self.vstring = vstring
+        ver_main = re.match(r'\d+\.\d+\.\d+', vstring)
+        if not ver_main:
+            raise ValueError("Not a valid numpy version string")
+
+        self.version = ver_main.group()
+        self.major, self.minor, self.bugfix = [int(x) for x in
+            self.version.split('.')]
+        if len(vstring) == ver_main.end():
+            self.pre_release = 'final'
+        else:
+            alpha = re.match(r'a\d', vstring[ver_main.end():])
+            beta = re.match(r'b\d', vstring[ver_main.end():])
+            rc = re.match(r'rc\d', vstring[ver_main.end():])
+            pre_rel = [m for m in [alpha, beta, rc] if m is not None]
+            if pre_rel:
+                self.pre_release = pre_rel[0].group()
+            else:
+                self.pre_release = ''
+
+        self.is_devversion = bool(re.search(r'.dev', vstring))
+
+    def _compare_version(self, other):
+        """Compare major.minor.bugfix"""
+        if self.major == other.major:
+            if self.minor == other.minor:
+                if self.bugfix == other.bugfix:
+                    vercmp = 0
+                elif self.bugfix > other.bugfix:
+                    vercmp = 1
+                else:
+                    vercmp = -1
+            elif self.minor > other.minor:
+                vercmp = 1
+            else:
+                vercmp = -1
+        elif self.major > other.major:
+            vercmp = 1
+        else:
+            vercmp = -1
+
+        return vercmp
+
+    def _compare_pre_release(self, other):
+        """Compare alpha/beta/rc/final."""
+        if self.pre_release == other.pre_release:
+            vercmp = 0
+        elif self.pre_release == 'final':
+            vercmp = 1
+        elif other.pre_release == 'final':
+            vercmp = -1
+        elif self.pre_release > other.pre_release:
+            vercmp = 1
+        else:
+            vercmp = -1
+
+        return vercmp
+
+    def _compare(self, other):
+        if not isinstance(other, (str, NumpyVersion)):
+            raise ValueError("Invalid object to compare with NumpyVersion.")
+
+        if isinstance(other, str):
+            other = NumpyVersion(other)
+
+        vercmp = self._compare_version(other)
+        if vercmp == 0:
+            # Same x.y.z version, check for alpha/beta/rc
+            vercmp = self._compare_pre_release(other)
+            if vercmp == 0:
+                # Same version and same pre-release, check if dev version
+                if self.is_devversion is other.is_devversion:
+                    vercmp = 0
+                elif self.is_devversion:
+                    vercmp = -1
+                else:
+                    vercmp = 1
+
+        return vercmp
+
+    def __lt__(self, other):
+        return self._compare(other) < 0
+
+    def __le__(self, other):
+        return self._compare(other) <= 0
+
+    def __eq__(self, other):
+        return self._compare(other) == 0
+
+    def __ne__(self, other):
+        return self._compare(other) != 0
+
+    def __gt__(self, other):
+        return self._compare(other) > 0
+
+    def __ge__(self, other):
+        return self._compare(other) >= 0
+
+    def __repr__(self):
+        return "NumpyVersion(%s)" % self.vstring
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_version.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_version.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..c53ef795f9266f5233d8c86e696bd8e1f3699557
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/_version.pyi
@@ -0,0 +1,17 @@
+__all__ = ["NumpyVersion"]
+
+class NumpyVersion:
+    vstring: str
+    version: str
+    major: int
+    minor: int
+    bugfix: int
+    pre_release: str
+    is_devversion: bool
+    def __init__(self, vstring: str) -> None: ...
+    def __lt__(self, other: str | NumpyVersion) -> bool: ...
+    def __le__(self, other: str | NumpyVersion) -> bool: ...
+    def __eq__(self, other: str | NumpyVersion) -> bool: ...  # type: ignore[override]
+    def __ne__(self, other: str | NumpyVersion) -> bool: ...  # type: ignore[override]
+    def __gt__(self, other: str | NumpyVersion) -> bool: ...
+    def __ge__(self, other: str | NumpyVersion) -> bool: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/array_utils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/array_utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..b4e7976131d268b307d8ac3bb13034d9e425f6e6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/array_utils.py
@@ -0,0 +1,7 @@
+from ._array_utils_impl import (
+    __all__,
+    __doc__,
+    byte_bounds,
+    normalize_axis_index,
+    normalize_axis_tuple,
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/array_utils.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/array_utils.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..4b9ebe334a1f211a21aac0cfd1605166ca909d1b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/array_utils.pyi
@@ -0,0 +1,6 @@
+from ._array_utils_impl import (
+    __all__ as __all__,
+    byte_bounds as byte_bounds,
+    normalize_axis_index as normalize_axis_index,
+    normalize_axis_tuple as normalize_axis_tuple,
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/format.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/format.py
new file mode 100644
index 0000000000000000000000000000000000000000..a22c096b246ce7109ca7b39f7735e4e38ab1e036
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/format.py
@@ -0,0 +1,1008 @@
+"""
+Binary serialization
+
+NPY format
+==========
+
+A simple format for saving numpy arrays to disk with the full
+information about them.
+
+The ``.npy`` format is the standard binary file format in NumPy for
+persisting a *single* arbitrary NumPy array on disk. The format stores all
+of the shape and dtype information necessary to reconstruct the array
+correctly even on another machine with a different architecture.
+The format is designed to be as simple as possible while achieving
+its limited goals.
+
+The ``.npz`` format is the standard format for persisting *multiple* NumPy
+arrays on disk. A ``.npz`` file is a zip file containing multiple ``.npy``
+files, one for each array.
+
+Capabilities
+------------
+
+- Can represent all NumPy arrays including nested record arrays and
+  object arrays.
+
+- Represents the data in its native binary form.
+
+- Supports Fortran-contiguous arrays directly.
+
+- Stores all of the necessary information to reconstruct the array
+  including shape and dtype on a machine of a different
+  architecture.  Both little-endian and big-endian arrays are
+  supported, and a file with little-endian numbers will yield
+  a little-endian array on any machine reading the file. The
+  types are described in terms of their actual sizes. For example,
+  if a machine with a 64-bit C "long int" writes out an array with
+  "long ints", a reading machine with 32-bit C "long ints" will yield
+  an array with 64-bit integers.
+
+- Is straightforward to reverse engineer. Datasets often live longer than
+  the programs that created them. A competent developer should be
+  able to create a solution in their preferred programming language to
+  read most ``.npy`` files that they have been given without much
+  documentation.
+
+- Allows memory-mapping of the data. See `open_memmap`.
+
+- Can be read from a filelike stream object instead of an actual file.
+
+- Stores object arrays, i.e. arrays containing elements that are arbitrary
+  Python objects. Files with object arrays are not to be mmapable, but
+  can be read and written to disk.
+
+Limitations
+-----------
+
+- Arbitrary subclasses of numpy.ndarray are not completely preserved.
+  Subclasses will be accepted for writing, but only the array data will
+  be written out. A regular numpy.ndarray object will be created
+  upon reading the file.
+
+.. warning::
+
+  Due to limitations in the interpretation of structured dtypes, dtypes
+  with fields with empty names will have the names replaced by 'f0', 'f1',
+  etc. Such arrays will not round-trip through the format entirely
+  accurately. The data is intact; only the field names will differ. We are
+  working on a fix for this. This fix will not require a change in the
+  file format. The arrays with such structures can still be saved and
+  restored, and the correct dtype may be restored by using the
+  ``loadedarray.view(correct_dtype)`` method.
+
+File extensions
+---------------
+
+We recommend using the ``.npy`` and ``.npz`` extensions for files saved
+in this format. This is by no means a requirement; applications may wish
+to use these file formats but use an extension specific to the
+application. In the absence of an obvious alternative, however,
+we suggest using ``.npy`` and ``.npz``.
+
+Version numbering
+-----------------
+
+The version numbering of these formats is independent of NumPy version
+numbering. If the format is upgraded, the code in `numpy.io` will still
+be able to read and write Version 1.0 files.
+
+Format Version 1.0
+------------------
+
+The first 6 bytes are a magic string: exactly ``\\x93NUMPY``.
+
+The next 1 byte is an unsigned byte: the major version number of the file
+format, e.g. ``\\x01``.
+
+The next 1 byte is an unsigned byte: the minor version number of the file
+format, e.g. ``\\x00``. Note: the version of the file format is not tied
+to the version of the numpy package.
+
+The next 2 bytes form a little-endian unsigned short int: the length of
+the header data HEADER_LEN.
+
+The next HEADER_LEN bytes form the header data describing the array's
+format. It is an ASCII string which contains a Python literal expression
+of a dictionary. It is terminated by a newline (``\\n``) and padded with
+spaces (``\\x20``) to make the total of
+``len(magic string) + 2 + len(length) + HEADER_LEN`` be evenly divisible
+by 64 for alignment purposes.
+
+The dictionary contains three keys:
+
+    "descr" : dtype.descr
+      An object that can be passed as an argument to the `numpy.dtype`
+      constructor to create the array's dtype.
+    "fortran_order" : bool
+      Whether the array data is Fortran-contiguous or not. Since
+      Fortran-contiguous arrays are a common form of non-C-contiguity,
+      we allow them to be written directly to disk for efficiency.
+    "shape" : tuple of int
+      The shape of the array.
+
+For repeatability and readability, the dictionary keys are sorted in
+alphabetic order. This is for convenience only. A writer SHOULD implement
+this if possible. A reader MUST NOT depend on this.
+
+Following the header comes the array data. If the dtype contains Python
+objects (i.e. ``dtype.hasobject is True``), then the data is a Python
+pickle of the array. Otherwise the data is the contiguous (either C-
+or Fortran-, depending on ``fortran_order``) bytes of the array.
+Consumers can figure out the number of bytes by multiplying the number
+of elements given by the shape (noting that ``shape=()`` means there is
+1 element) by ``dtype.itemsize``.
+
+Format Version 2.0
+------------------
+
+The version 1.0 format only allowed the array header to have a total size of
+65535 bytes.  This can be exceeded by structured arrays with a large number of
+columns.  The version 2.0 format extends the header size to 4 GiB.
+`numpy.save` will automatically save in 2.0 format if the data requires it,
+else it will always use the more compatible 1.0 format.
+
+The description of the fourth element of the header therefore has become:
+"The next 4 bytes form a little-endian unsigned int: the length of the header
+data HEADER_LEN."
+
+Format Version 3.0
+------------------
+
+This version replaces the ASCII string (which in practice was latin1) with
+a utf8-encoded string, so supports structured types with any unicode field
+names.
+
+Notes
+-----
+The ``.npy`` format, including motivation for creating it and a comparison of
+alternatives, is described in the
+:doc:`"npy-format" NEP `, however details have
+evolved with time and this document is more current.
+
+"""
+import io
+import os
+import pickle
+import warnings
+
+import numpy
+from numpy.lib._utils_impl import drop_metadata
+
+
+__all__ = []
+
+drop_metadata.__module__ = "numpy.lib.format"
+
+EXPECTED_KEYS = {'descr', 'fortran_order', 'shape'}
+MAGIC_PREFIX = b'\x93NUMPY'
+MAGIC_LEN = len(MAGIC_PREFIX) + 2
+ARRAY_ALIGN = 64 # plausible values are powers of 2 between 16 and 4096
+BUFFER_SIZE = 2**18  # size of buffer for reading npz files in bytes
+# allow growth within the address space of a 64 bit machine along one axis
+GROWTH_AXIS_MAX_DIGITS = 21  # = len(str(8*2**64-1)) hypothetical int1 dtype
+
+# difference between version 1.0 and 2.0 is a 4 byte (I) header length
+# instead of 2 bytes (H) allowing storage of large structured arrays
+_header_size_info = {
+    (1, 0): (' 255:
+        raise ValueError("major version must be 0 <= major < 256")
+    if minor < 0 or minor > 255:
+        raise ValueError("minor version must be 0 <= minor < 256")
+    return MAGIC_PREFIX + bytes([major, minor])
+
+def read_magic(fp):
+    """ Read the magic string to get the version of the file format.
+
+    Parameters
+    ----------
+    fp : filelike object
+
+    Returns
+    -------
+    major : int
+    minor : int
+    """
+    magic_str = _read_bytes(fp, MAGIC_LEN, "magic string")
+    if magic_str[:-2] != MAGIC_PREFIX:
+        msg = "the magic string is not correct; expected %r, got %r"
+        raise ValueError(msg % (MAGIC_PREFIX, magic_str[:-2]))
+    major, minor = magic_str[-2:]
+    return major, minor
+
+
+def dtype_to_descr(dtype):
+    """
+    Get a serializable descriptor from the dtype.
+
+    The .descr attribute of a dtype object cannot be round-tripped through
+    the dtype() constructor. Simple types, like dtype('float32'), have
+    a descr which looks like a record array with one field with '' as
+    a name. The dtype() constructor interprets this as a request to give
+    a default name.  Instead, we construct descriptor that can be passed to
+    dtype().
+
+    Parameters
+    ----------
+    dtype : dtype
+        The dtype of the array that will be written to disk.
+
+    Returns
+    -------
+    descr : object
+        An object that can be passed to `numpy.dtype()` in order to
+        replicate the input dtype.
+
+    """
+    # NOTE: that drop_metadata may not return the right dtype e.g. for user
+    #       dtypes.  In that case our code below would fail the same, though.
+    new_dtype = drop_metadata(dtype)
+    if new_dtype is not dtype:
+        warnings.warn("metadata on a dtype is not saved to an npy/npz. "
+                      "Use another format (such as pickle) to store it.",
+                      UserWarning, stacklevel=2)
+    dtype = new_dtype
+
+    if dtype.names is not None:
+        # This is a record array. The .descr is fine.  XXX: parts of the
+        # record array with an empty name, like padding bytes, still get
+        # fiddled with. This needs to be fixed in the C implementation of
+        # dtype().
+        return dtype.descr
+    elif not type(dtype)._legacy:
+        # this must be a user-defined dtype since numpy does not yet expose any
+        # non-legacy dtypes in the public API
+        #
+        # non-legacy dtypes don't yet have __array_interface__
+        # support. Instead, as a hack, we use pickle to save the array, and lie
+        # that the dtype is object. When the array is loaded, the descriptor is
+        # unpickled with the array and the object dtype in the header is
+        # discarded.
+        #
+        # a future NEP should define a way to serialize user-defined
+        # descriptors and ideally work out the possible security implications
+        warnings.warn("Custom dtypes are saved as python objects using the "
+                      "pickle protocol. Loading this file requires "
+                      "allow_pickle=True to be set.",
+                      UserWarning, stacklevel=2)
+        return "|O"
+    else:
+        return dtype.str
+
+def descr_to_dtype(descr):
+    """
+    Returns a dtype based off the given description.
+
+    This is essentially the reverse of `~lib.format.dtype_to_descr`. It will
+    remove the valueless padding fields created by, i.e. simple fields like
+    dtype('float32'), and then convert the description to its corresponding
+    dtype.
+
+    Parameters
+    ----------
+    descr : object
+        The object retrieved by dtype.descr. Can be passed to
+        `numpy.dtype` in order to replicate the input dtype.
+
+    Returns
+    -------
+    dtype : dtype
+        The dtype constructed by the description.
+
+    """
+    if isinstance(descr, str):
+        # No padding removal needed
+        return numpy.dtype(descr)
+    elif isinstance(descr, tuple):
+        # subtype, will always have a shape descr[1]
+        dt = descr_to_dtype(descr[0])
+        return numpy.dtype((dt, descr[1]))
+
+    titles = []
+    names = []
+    formats = []
+    offsets = []
+    offset = 0
+    for field in descr:
+        if len(field) == 2:
+            name, descr_str = field
+            dt = descr_to_dtype(descr_str)
+        else:
+            name, descr_str, shape = field
+            dt = numpy.dtype((descr_to_dtype(descr_str), shape))
+
+        # Ignore padding bytes, which will be void bytes with '' as name
+        # Once support for blank names is removed, only "if name == ''" needed)
+        is_pad = (name == '' and dt.type is numpy.void and dt.names is None)
+        if not is_pad:
+            title, name = name if isinstance(name, tuple) else (None, name)
+            titles.append(title)
+            names.append(name)
+            formats.append(dt)
+            offsets.append(offset)
+        offset += dt.itemsize
+
+    return numpy.dtype({'names': names, 'formats': formats, 'titles': titles,
+                        'offsets': offsets, 'itemsize': offset})
+
+def header_data_from_array_1_0(array):
+    """ Get the dictionary of header metadata from a numpy.ndarray.
+
+    Parameters
+    ----------
+    array : numpy.ndarray
+
+    Returns
+    -------
+    d : dict
+        This has the appropriate entries for writing its string representation
+        to the header of the file.
+    """
+    d = {'shape': array.shape}
+    if array.flags.c_contiguous:
+        d['fortran_order'] = False
+    elif array.flags.f_contiguous:
+        d['fortran_order'] = True
+    else:
+        # Totally non-contiguous data. We will have to make it C-contiguous
+        # before writing. Note that we need to test for C_CONTIGUOUS first
+        # because a 1-D array is both C_CONTIGUOUS and F_CONTIGUOUS.
+        d['fortran_order'] = False
+
+    d['descr'] = dtype_to_descr(array.dtype)
+    return d
+
+
+def _wrap_header(header, version):
+    """
+    Takes a stringified header, and attaches the prefix and padding to it
+    """
+    import struct
+    assert version is not None
+    fmt, encoding = _header_size_info[version]
+    header = header.encode(encoding)
+    hlen = len(header) + 1
+    padlen = ARRAY_ALIGN - ((MAGIC_LEN + struct.calcsize(fmt) + hlen) % ARRAY_ALIGN)
+    try:
+        header_prefix = magic(*version) + struct.pack(fmt, hlen + padlen)
+    except struct.error:
+        msg = "Header length {} too big for version={}".format(hlen, version)
+        raise ValueError(msg) from None
+
+    # Pad the header with spaces and a final newline such that the magic
+    # string, the header-length short and the header are aligned on a
+    # ARRAY_ALIGN byte boundary.  This supports memory mapping of dtypes
+    # aligned up to ARRAY_ALIGN on systems like Linux where mmap()
+    # offset must be page-aligned (i.e. the beginning of the file).
+    return header_prefix + header + b' '*padlen + b'\n'
+
+
+def _wrap_header_guess_version(header):
+    """
+    Like `_wrap_header`, but chooses an appropriate version given the contents
+    """
+    try:
+        return _wrap_header(header, (1, 0))
+    except ValueError:
+        pass
+
+    try:
+        ret = _wrap_header(header, (2, 0))
+    except UnicodeEncodeError:
+        pass
+    else:
+        warnings.warn("Stored array in format 2.0. It can only be"
+                      "read by NumPy >= 1.9", UserWarning, stacklevel=2)
+        return ret
+
+    header = _wrap_header(header, (3, 0))
+    warnings.warn("Stored array in format 3.0. It can only be "
+                  "read by NumPy >= 1.17", UserWarning, stacklevel=2)
+    return header
+
+
+def _write_array_header(fp, d, version=None):
+    """ Write the header for an array and returns the version used
+
+    Parameters
+    ----------
+    fp : filelike object
+    d : dict
+        This has the appropriate entries for writing its string representation
+        to the header of the file.
+    version : tuple or None
+        None means use oldest that works. Providing an explicit version will
+        raise a ValueError if the format does not allow saving this data.
+        Default: None
+    """
+    header = ["{"]
+    for key, value in sorted(d.items()):
+        # Need to use repr here, since we eval these when reading
+        header.append("'%s': %s, " % (key, repr(value)))
+    header.append("}")
+    header = "".join(header)
+
+    # Add some spare space so that the array header can be modified in-place
+    # when changing the array size, e.g. when growing it by appending data at
+    # the end.
+    shape = d['shape']
+    header += " " * ((GROWTH_AXIS_MAX_DIGITS - len(repr(
+        shape[-1 if d['fortran_order'] else 0]
+    ))) if len(shape) > 0 else 0)
+
+    if version is None:
+        header = _wrap_header_guess_version(header)
+    else:
+        header = _wrap_header(header, version)
+    fp.write(header)
+
+def write_array_header_1_0(fp, d):
+    """ Write the header for an array using the 1.0 format.
+
+    Parameters
+    ----------
+    fp : filelike object
+    d : dict
+        This has the appropriate entries for writing its string
+        representation to the header of the file.
+    """
+    _write_array_header(fp, d, (1, 0))
+
+
+def write_array_header_2_0(fp, d):
+    """ Write the header for an array using the 2.0 format.
+        The 2.0 format allows storing very large structured arrays.
+
+    Parameters
+    ----------
+    fp : filelike object
+    d : dict
+        This has the appropriate entries for writing its string
+        representation to the header of the file.
+    """
+    _write_array_header(fp, d, (2, 0))
+
+def read_array_header_1_0(fp, max_header_size=_MAX_HEADER_SIZE):
+    """
+    Read an array header from a filelike object using the 1.0 file format
+    version.
+
+    This will leave the file object located just after the header.
+
+    Parameters
+    ----------
+    fp : filelike object
+        A file object or something with a `.read()` method like a file.
+
+    Returns
+    -------
+    shape : tuple of int
+        The shape of the array.
+    fortran_order : bool
+        The array data will be written out directly if it is either
+        C-contiguous or Fortran-contiguous. Otherwise, it will be made
+        contiguous before writing it out.
+    dtype : dtype
+        The dtype of the file's data.
+    max_header_size : int, optional
+        Maximum allowed size of the header.  Large headers may not be safe
+        to load securely and thus require explicitly passing a larger value.
+        See :py:func:`ast.literal_eval()` for details.
+
+    Raises
+    ------
+    ValueError
+        If the data is invalid.
+
+    """
+    return _read_array_header(
+            fp, version=(1, 0), max_header_size=max_header_size)
+
+def read_array_header_2_0(fp, max_header_size=_MAX_HEADER_SIZE):
+    """
+    Read an array header from a filelike object using the 2.0 file format
+    version.
+
+    This will leave the file object located just after the header.
+
+    Parameters
+    ----------
+    fp : filelike object
+        A file object or something with a `.read()` method like a file.
+    max_header_size : int, optional
+        Maximum allowed size of the header.  Large headers may not be safe
+        to load securely and thus require explicitly passing a larger value.
+        See :py:func:`ast.literal_eval()` for details.
+
+    Returns
+    -------
+    shape : tuple of int
+        The shape of the array.
+    fortran_order : bool
+        The array data will be written out directly if it is either
+        C-contiguous or Fortran-contiguous. Otherwise, it will be made
+        contiguous before writing it out.
+    dtype : dtype
+        The dtype of the file's data.
+
+    Raises
+    ------
+    ValueError
+        If the data is invalid.
+
+    """
+    return _read_array_header(
+            fp, version=(2, 0), max_header_size=max_header_size)
+
+
+def _filter_header(s):
+    """Clean up 'L' in npz header ints.
+
+    Cleans up the 'L' in strings representing integers. Needed to allow npz
+    headers produced in Python2 to be read in Python3.
+
+    Parameters
+    ----------
+    s : string
+        Npy file header.
+
+    Returns
+    -------
+    header : str
+        Cleaned up header.
+
+    """
+    import tokenize
+    from io import StringIO
+
+    tokens = []
+    last_token_was_number = False
+    for token in tokenize.generate_tokens(StringIO(s).readline):
+        token_type = token[0]
+        token_string = token[1]
+        if (last_token_was_number and
+                token_type == tokenize.NAME and
+                token_string == "L"):
+            continue
+        else:
+            tokens.append(token)
+        last_token_was_number = (token_type == tokenize.NUMBER)
+    return tokenize.untokenize(tokens)
+
+
+def _read_array_header(fp, version, max_header_size=_MAX_HEADER_SIZE):
+    """
+    see read_array_header_1_0
+    """
+    # Read an unsigned, little-endian short int which has the length of the
+    # header.
+    import ast
+    import struct
+    hinfo = _header_size_info.get(version)
+    if hinfo is None:
+        raise ValueError("Invalid version {!r}".format(version))
+    hlength_type, encoding = hinfo
+
+    hlength_str = _read_bytes(fp, struct.calcsize(hlength_type), "array header length")
+    header_length = struct.unpack(hlength_type, hlength_str)[0]
+    header = _read_bytes(fp, header_length, "array header")
+    header = header.decode(encoding)
+    if len(header) > max_header_size:
+        raise ValueError(
+            f"Header info length ({len(header)}) is large and may not be safe "
+            "to load securely.\n"
+            "To allow loading, adjust `max_header_size` or fully trust "
+            "the `.npy` file using `allow_pickle=True`.\n"
+            "For safety against large resource use or crashes, sandboxing "
+            "may be necessary.")
+
+    # The header is a pretty-printed string representation of a literal
+    # Python dictionary with trailing newlines padded to a ARRAY_ALIGN byte
+    # boundary. The keys are strings.
+    #   "shape" : tuple of int
+    #   "fortran_order" : bool
+    #   "descr" : dtype.descr
+    # Versions (2, 0) and (1, 0) could have been created by a Python 2
+    # implementation before header filtering was implemented.
+    #
+    # For performance reasons, we try without _filter_header first though
+    try:
+        d = ast.literal_eval(header)
+    except SyntaxError as e:
+        if version <= (2, 0):
+            header = _filter_header(header)
+            try:
+                d = ast.literal_eval(header)
+            except SyntaxError as e2:
+                msg = "Cannot parse header: {!r}"
+                raise ValueError(msg.format(header)) from e2
+            else:
+                warnings.warn(
+                    "Reading `.npy` or `.npz` file required additional "
+                    "header parsing as it was created on Python 2. Save the "
+                    "file again to speed up loading and avoid this warning.",
+                    UserWarning, stacklevel=4)
+        else:
+            msg = "Cannot parse header: {!r}"
+            raise ValueError(msg.format(header)) from e
+    if not isinstance(d, dict):
+        msg = "Header is not a dictionary: {!r}"
+        raise ValueError(msg.format(d))
+
+    if EXPECTED_KEYS != d.keys():
+        keys = sorted(d.keys())
+        msg = "Header does not contain the correct keys: {!r}"
+        raise ValueError(msg.format(keys))
+
+    # Sanity-check the values.
+    if (not isinstance(d['shape'], tuple) or
+            not all(isinstance(x, int) for x in d['shape'])):
+        msg = "shape is not valid: {!r}"
+        raise ValueError(msg.format(d['shape']))
+    if not isinstance(d['fortran_order'], bool):
+        msg = "fortran_order is not a valid bool: {!r}"
+        raise ValueError(msg.format(d['fortran_order']))
+    try:
+        dtype = descr_to_dtype(d['descr'])
+    except TypeError as e:
+        msg = "descr is not a valid dtype descriptor: {!r}"
+        raise ValueError(msg.format(d['descr'])) from e
+
+    return d['shape'], d['fortran_order'], dtype
+
+def write_array(fp, array, version=None, allow_pickle=True, pickle_kwargs=None):
+    """
+    Write an array to an NPY file, including a header.
+
+    If the array is neither C-contiguous nor Fortran-contiguous AND the
+    file_like object is not a real file object, this function will have to
+    copy data in memory.
+
+    Parameters
+    ----------
+    fp : file_like object
+        An open, writable file object, or similar object with a
+        ``.write()`` method.
+    array : ndarray
+        The array to write to disk.
+    version : (int, int) or None, optional
+        The version number of the format. None means use the oldest
+        supported version that is able to store the data.  Default: None
+    allow_pickle : bool, optional
+        Whether to allow writing pickled data. Default: True
+    pickle_kwargs : dict, optional
+        Additional keyword arguments to pass to pickle.dump, excluding
+        'protocol'. These are only useful when pickling objects in object
+        arrays on Python 3 to Python 2 compatible format.
+
+    Raises
+    ------
+    ValueError
+        If the array cannot be persisted. This includes the case of
+        allow_pickle=False and array being an object array.
+    Various other errors
+        If the array contains Python objects as part of its dtype, the
+        process of pickling them may raise various errors if the objects
+        are not picklable.
+
+    """
+    _check_version(version)
+    _write_array_header(fp, header_data_from_array_1_0(array), version)
+
+    if array.itemsize == 0:
+        buffersize = 0
+    else:
+        # Set buffer size to 16 MiB to hide the Python loop overhead.
+        buffersize = max(16 * 1024 ** 2 // array.itemsize, 1)
+
+    dtype_class = type(array.dtype)
+
+    if array.dtype.hasobject or not dtype_class._legacy:
+        # We contain Python objects so we cannot write out the data
+        # directly.  Instead, we will pickle it out
+        if not allow_pickle:
+            if array.dtype.hasobject:
+                raise ValueError("Object arrays cannot be saved when "
+                                 "allow_pickle=False")
+            if not dtype_class._legacy:
+                raise ValueError("User-defined dtypes cannot be saved "
+                                 "when allow_pickle=False")
+        if pickle_kwargs is None:
+            pickle_kwargs = {}
+        pickle.dump(array, fp, protocol=4, **pickle_kwargs)
+    elif array.flags.f_contiguous and not array.flags.c_contiguous:
+        if isfileobj(fp):
+            array.T.tofile(fp)
+        else:
+            for chunk in numpy.nditer(
+                    array, flags=['external_loop', 'buffered', 'zerosize_ok'],
+                    buffersize=buffersize, order='F'):
+                fp.write(chunk.tobytes('C'))
+    else:
+        if isfileobj(fp):
+            array.tofile(fp)
+        else:
+            for chunk in numpy.nditer(
+                    array, flags=['external_loop', 'buffered', 'zerosize_ok'],
+                    buffersize=buffersize, order='C'):
+                fp.write(chunk.tobytes('C'))
+
+
+def read_array(fp, allow_pickle=False, pickle_kwargs=None, *,
+               max_header_size=_MAX_HEADER_SIZE):
+    """
+    Read an array from an NPY file.
+
+    Parameters
+    ----------
+    fp : file_like object
+        If this is not a real file object, then this may take extra memory
+        and time.
+    allow_pickle : bool, optional
+        Whether to allow writing pickled data. Default: False
+    pickle_kwargs : dict
+        Additional keyword arguments to pass to pickle.load. These are only
+        useful when loading object arrays saved on Python 2 when using
+        Python 3.
+    max_header_size : int, optional
+        Maximum allowed size of the header.  Large headers may not be safe
+        to load securely and thus require explicitly passing a larger value.
+        See :py:func:`ast.literal_eval()` for details.
+        This option is ignored when `allow_pickle` is passed.  In that case
+        the file is by definition trusted and the limit is unnecessary.
+
+    Returns
+    -------
+    array : ndarray
+        The array from the data on disk.
+
+    Raises
+    ------
+    ValueError
+        If the data is invalid, or allow_pickle=False and the file contains
+        an object array.
+
+    """
+    if allow_pickle:
+        # Effectively ignore max_header_size, since `allow_pickle` indicates
+        # that the input is fully trusted.
+        max_header_size = 2**64
+
+    version = read_magic(fp)
+    _check_version(version)
+    shape, fortran_order, dtype = _read_array_header(
+            fp, version, max_header_size=max_header_size)
+    if len(shape) == 0:
+        count = 1
+    else:
+        count = numpy.multiply.reduce(shape, dtype=numpy.int64)
+
+    # Now read the actual data.
+    if dtype.hasobject:
+        # The array contained Python objects. We need to unpickle the data.
+        if not allow_pickle:
+            raise ValueError("Object arrays cannot be loaded when "
+                             "allow_pickle=False")
+        if pickle_kwargs is None:
+            pickle_kwargs = {}
+        try:
+            array = pickle.load(fp, **pickle_kwargs)
+        except UnicodeError as err:
+            # Friendlier error message
+            raise UnicodeError("Unpickling a python object failed: %r\n"
+                               "You may need to pass the encoding= option "
+                               "to numpy.load" % (err,)) from err
+    else:
+        if isfileobj(fp):
+            # We can use the fast fromfile() function.
+            array = numpy.fromfile(fp, dtype=dtype, count=count)
+        else:
+            # This is not a real file. We have to read it the
+            # memory-intensive way.
+            # crc32 module fails on reads greater than 2 ** 32 bytes,
+            # breaking large reads from gzip streams. Chunk reads to
+            # BUFFER_SIZE bytes to avoid issue and reduce memory overhead
+            # of the read. In non-chunked case count < max_read_count, so
+            # only one read is performed.
+
+            # Use np.ndarray instead of np.empty since the latter does
+            # not correctly instantiate zero-width string dtypes; see
+            # https://github.com/numpy/numpy/pull/6430
+            array = numpy.ndarray(count, dtype=dtype)
+
+            if dtype.itemsize > 0:
+                # If dtype.itemsize == 0 then there's nothing more to read
+                max_read_count = BUFFER_SIZE // min(BUFFER_SIZE, dtype.itemsize)
+
+                for i in range(0, count, max_read_count):
+                    read_count = min(max_read_count, count - i)
+                    read_size = int(read_count * dtype.itemsize)
+                    data = _read_bytes(fp, read_size, "array data")
+                    array[i:i+read_count] = numpy.frombuffer(data, dtype=dtype,
+                                                             count=read_count)
+
+        if fortran_order:
+            array.shape = shape[::-1]
+            array = array.transpose()
+        else:
+            array.shape = shape
+
+    return array
+
+
+def open_memmap(filename, mode='r+', dtype=None, shape=None,
+                fortran_order=False, version=None, *,
+                max_header_size=_MAX_HEADER_SIZE):
+    """
+    Open a .npy file as a memory-mapped array.
+
+    This may be used to read an existing file or create a new one.
+
+    Parameters
+    ----------
+    filename : str or path-like
+        The name of the file on disk.  This may *not* be a file-like
+        object.
+    mode : str, optional
+        The mode in which to open the file; the default is 'r+'.  In
+        addition to the standard file modes, 'c' is also accepted to mean
+        "copy on write."  See `memmap` for the available mode strings.
+    dtype : data-type, optional
+        The data type of the array if we are creating a new file in "write"
+        mode, if not, `dtype` is ignored.  The default value is None, which
+        results in a data-type of `float64`.
+    shape : tuple of int
+        The shape of the array if we are creating a new file in "write"
+        mode, in which case this parameter is required.  Otherwise, this
+        parameter is ignored and is thus optional.
+    fortran_order : bool, optional
+        Whether the array should be Fortran-contiguous (True) or
+        C-contiguous (False, the default) if we are creating a new file in
+        "write" mode.
+    version : tuple of int (major, minor) or None
+        If the mode is a "write" mode, then this is the version of the file
+        format used to create the file.  None means use the oldest
+        supported version that is able to store the data.  Default: None
+    max_header_size : int, optional
+        Maximum allowed size of the header.  Large headers may not be safe
+        to load securely and thus require explicitly passing a larger value.
+        See :py:func:`ast.literal_eval()` for details.
+
+    Returns
+    -------
+    marray : memmap
+        The memory-mapped array.
+
+    Raises
+    ------
+    ValueError
+        If the data or the mode is invalid.
+    OSError
+        If the file is not found or cannot be opened correctly.
+
+    See Also
+    --------
+    numpy.memmap
+
+    """
+    if isfileobj(filename):
+        raise ValueError("Filename must be a string or a path-like object."
+                         "  Memmap cannot use existing file handles.")
+
+    if 'w' in mode:
+        # We are creating the file, not reading it.
+        # Check if we ought to create the file.
+        _check_version(version)
+        # Ensure that the given dtype is an authentic dtype object rather
+        # than just something that can be interpreted as a dtype object.
+        dtype = numpy.dtype(dtype)
+        if dtype.hasobject:
+            msg = "Array can't be memory-mapped: Python objects in dtype."
+            raise ValueError(msg)
+        d = dict(
+            descr=dtype_to_descr(dtype),
+            fortran_order=fortran_order,
+            shape=shape,
+        )
+        # If we got here, then it should be safe to create the file.
+        with open(os.fspath(filename), mode+'b') as fp:
+            _write_array_header(fp, d, version)
+            offset = fp.tell()
+    else:
+        # Read the header of the file first.
+        with open(os.fspath(filename), 'rb') as fp:
+            version = read_magic(fp)
+            _check_version(version)
+
+            shape, fortran_order, dtype = _read_array_header(
+                    fp, version, max_header_size=max_header_size)
+            if dtype.hasobject:
+                msg = "Array can't be memory-mapped: Python objects in dtype."
+                raise ValueError(msg)
+            offset = fp.tell()
+
+    if fortran_order:
+        order = 'F'
+    else:
+        order = 'C'
+
+    # We need to change a write-only mode to a read-write mode since we've
+    # already written data to the file.
+    if mode == 'w+':
+        mode = 'r+'
+
+    marray = numpy.memmap(filename, dtype=dtype, shape=shape, order=order,
+        mode=mode, offset=offset)
+
+    return marray
+
+
+def _read_bytes(fp, size, error_template="ran out of data"):
+    """
+    Read from file-like object until size bytes are read.
+    Raises ValueError if not EOF is encountered before size bytes are read.
+    Non-blocking objects only supported if they derive from io objects.
+
+    Required as e.g. ZipExtFile in python 2.6 can return less data than
+    requested.
+    """
+    data = bytes()
+    while True:
+        # io files (default in python3) return None or raise on
+        # would-block, python2 file will truncate, probably nothing can be
+        # done about that.  note that regular files can't be non-blocking
+        try:
+            r = fp.read(size - len(data))
+            data += r
+            if len(r) == 0 or len(data) == size:
+                break
+        except BlockingIOError:
+            pass
+    if len(data) != size:
+        msg = "EOF: reading %s, expected %d bytes got %d"
+        raise ValueError(msg % (error_template, size, len(data)))
+    else:
+        return data
+
+
+def isfileobj(f):
+    if not isinstance(f, (io.FileIO, io.BufferedReader, io.BufferedWriter)):
+        return False
+    try:
+        # BufferedReader/Writer may raise OSError when
+        # fetching `fileno()` (e.g. when wrapping BytesIO).
+        f.fileno()
+        return True
+    except OSError:
+        return False
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/format.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/format.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..57c7e1e206e0a576eb9966898ac439ab3c7c1969
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/format.pyi
@@ -0,0 +1,22 @@
+from typing import Literal, Final
+
+__all__: list[str] = []
+
+EXPECTED_KEYS: Final[set[str]]
+MAGIC_PREFIX: Final[bytes]
+MAGIC_LEN: Literal[8]
+ARRAY_ALIGN: Literal[64]
+BUFFER_SIZE: Literal[262144]  # 2**18
+
+def magic(major, minor): ...
+def read_magic(fp): ...
+def dtype_to_descr(dtype): ...
+def descr_to_dtype(descr): ...
+def header_data_from_array_1_0(array): ...
+def write_array_header_1_0(fp, d): ...
+def write_array_header_2_0(fp, d): ...
+def read_array_header_1_0(fp): ...
+def read_array_header_2_0(fp): ...
+def write_array(fp, array, version=..., allow_pickle=..., pickle_kwargs=...): ...
+def read_array(fp, allow_pickle=..., pickle_kwargs=...): ...
+def open_memmap(filename, mode=..., dtype=..., shape=..., fortran_order=..., version=...): ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/introspect.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/introspect.py
new file mode 100644
index 0000000000000000000000000000000000000000..4826440dd410948273832e402ccea583bcfb361b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/introspect.py
@@ -0,0 +1,95 @@
+"""
+Introspection helper functions.
+"""
+import re
+
+__all__ = ['opt_func_info']
+
+
+def opt_func_info(func_name=None, signature=None):
+    """
+    Returns a dictionary containing the currently supported CPU dispatched
+    features for all optimized functions.
+
+    Parameters
+    ----------
+    func_name : str (optional)
+        Regular expression to filter by function name.
+
+    signature : str (optional)
+        Regular expression to filter by data type.
+
+    Returns
+    -------
+    dict
+        A dictionary where keys are optimized function names and values are
+        nested dictionaries indicating supported targets based on data types.
+
+    Examples
+    --------
+    Retrieve dispatch information for functions named 'add' or 'sub' and
+    data types 'float64' or 'float32':
+
+    >>> import numpy as np
+    >>> dict = np.lib.introspect.opt_func_info(
+    ...     func_name="add|abs", signature="float64|complex64"
+    ... )
+    >>> import json
+    >>> print(json.dumps(dict, indent=2))
+        {
+          "absolute": {
+            "dd": {
+              "current": "SSE41",
+              "available": "SSE41 baseline(SSE SSE2 SSE3)"
+            },
+            "Ff": {
+              "current": "FMA3__AVX2",
+              "available": "AVX512F FMA3__AVX2 baseline(SSE SSE2 SSE3)"
+            },
+            "Dd": {
+              "current": "FMA3__AVX2",
+              "available": "AVX512F FMA3__AVX2 baseline(SSE SSE2 SSE3)"
+            }
+          },
+          "add": {
+            "ddd": {
+              "current": "FMA3__AVX2",
+              "available": "FMA3__AVX2 baseline(SSE SSE2 SSE3)"
+            },
+            "FFF": {
+              "current": "FMA3__AVX2",
+              "available": "FMA3__AVX2 baseline(SSE SSE2 SSE3)"
+            }
+          }
+        }
+
+    """
+    from numpy._core._multiarray_umath import (
+        __cpu_targets_info__ as targets, dtype
+    )
+
+    if func_name is not None:
+        func_pattern = re.compile(func_name)
+        matching_funcs = {
+            k: v for k, v in targets.items()
+            if func_pattern.search(k)
+        }
+    else:
+        matching_funcs = targets
+
+    if signature is not None:
+        sig_pattern = re.compile(signature)
+        matching_sigs = {}
+        for k, v in matching_funcs.items():
+            matching_chars = {}
+            for chars, targets in v.items():
+                if any(
+                    sig_pattern.search(c) or sig_pattern.search(dtype(c).name)
+                    for c in chars
+                ):
+                    matching_chars[chars] = targets
+            if matching_chars:
+                matching_sigs[k] = matching_chars
+    else:
+        matching_sigs = matching_funcs
+    return matching_sigs
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/introspect.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/introspect.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..7929981cd6362ad7a992b50a74b37c700f00cbe2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/introspect.pyi
@@ -0,0 +1,3 @@
+__all__ = ["opt_func_info"]
+
+def opt_func_info(func_name: str | None = None, signature: str | None = None) -> dict[str, dict[str, dict[str, str]]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/mixins.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/mixins.py
new file mode 100644
index 0000000000000000000000000000000000000000..5e78ac0990b34c9926f7f5a819d9652605d5a0ca
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/mixins.py
@@ -0,0 +1,182 @@
+"""
+Mixin classes for custom array types that don't inherit from ndarray.
+"""
+from numpy._core import umath as um
+
+
+__all__ = ['NDArrayOperatorsMixin']
+
+
+def _disables_array_ufunc(obj):
+    """True when __array_ufunc__ is set to None."""
+    try:
+        return obj.__array_ufunc__ is None
+    except AttributeError:
+        return False
+
+
+def _binary_method(ufunc, name):
+    """Implement a forward binary method with a ufunc, e.g., __add__."""
+    def func(self, other):
+        if _disables_array_ufunc(other):
+            return NotImplemented
+        return ufunc(self, other)
+    func.__name__ = '__{}__'.format(name)
+    return func
+
+
+def _reflected_binary_method(ufunc, name):
+    """Implement a reflected binary method with a ufunc, e.g., __radd__."""
+    def func(self, other):
+        if _disables_array_ufunc(other):
+            return NotImplemented
+        return ufunc(other, self)
+    func.__name__ = '__r{}__'.format(name)
+    return func
+
+
+def _inplace_binary_method(ufunc, name):
+    """Implement an in-place binary method with a ufunc, e.g., __iadd__."""
+    def func(self, other):
+        return ufunc(self, other, out=(self,))
+    func.__name__ = '__i{}__'.format(name)
+    return func
+
+
+def _numeric_methods(ufunc, name):
+    """Implement forward, reflected and inplace binary methods with a ufunc."""
+    return (_binary_method(ufunc, name),
+            _reflected_binary_method(ufunc, name),
+            _inplace_binary_method(ufunc, name))
+
+
+def _unary_method(ufunc, name):
+    """Implement a unary special method with a ufunc."""
+    def func(self):
+        return ufunc(self)
+    func.__name__ = '__{}__'.format(name)
+    return func
+
+
+class NDArrayOperatorsMixin:
+    """Mixin defining all operator special methods using __array_ufunc__.
+
+    This class implements the special methods for almost all of Python's
+    builtin operators defined in the `operator` module, including comparisons
+    (``==``, ``>``, etc.) and arithmetic (``+``, ``*``, ``-``, etc.), by
+    deferring to the ``__array_ufunc__`` method, which subclasses must
+    implement.
+
+    It is useful for writing classes that do not inherit from `numpy.ndarray`,
+    but that should support arithmetic and numpy universal functions like
+    arrays as described in `A Mechanism for Overriding Ufuncs
+    `_.
+
+    As an trivial example, consider this implementation of an ``ArrayLike``
+    class that simply wraps a NumPy array and ensures that the result of any
+    arithmetic operation is also an ``ArrayLike`` object:
+
+        >>> import numbers
+        >>> class ArrayLike(np.lib.mixins.NDArrayOperatorsMixin):
+        ...     def __init__(self, value):
+        ...         self.value = np.asarray(value)
+        ...
+        ...     # One might also consider adding the built-in list type to this
+        ...     # list, to support operations like np.add(array_like, list)
+        ...     _HANDLED_TYPES = (np.ndarray, numbers.Number)
+        ...
+        ...     def __array_ufunc__(self, ufunc, method, *inputs, **kwargs):
+        ...         out = kwargs.get('out', ())
+        ...         for x in inputs + out:
+        ...             # Only support operations with instances of
+        ...             # _HANDLED_TYPES. Use ArrayLike instead of type(self)
+        ...             # for isinstance to allow subclasses that don't
+        ...             # override __array_ufunc__ to handle ArrayLike objects.
+        ...             if not isinstance(
+        ...                 x, self._HANDLED_TYPES + (ArrayLike,)
+        ...             ):
+        ...                 return NotImplemented
+        ...
+        ...         # Defer to the implementation of the ufunc
+        ...         # on unwrapped values.
+        ...         inputs = tuple(x.value if isinstance(x, ArrayLike) else x
+        ...                     for x in inputs)
+        ...         if out:
+        ...             kwargs['out'] = tuple(
+        ...                 x.value if isinstance(x, ArrayLike) else x
+        ...                 for x in out)
+        ...         result = getattr(ufunc, method)(*inputs, **kwargs)
+        ...
+        ...         if type(result) is tuple:
+        ...             # multiple return values
+        ...             return tuple(type(self)(x) for x in result)
+        ...         elif method == 'at':
+        ...             # no return value
+        ...             return None
+        ...         else:
+        ...             # one return value
+        ...             return type(self)(result)
+        ...
+        ...     def __repr__(self):
+        ...         return '%s(%r)' % (type(self).__name__, self.value)
+
+    In interactions between ``ArrayLike`` objects and numbers or numpy arrays,
+    the result is always another ``ArrayLike``:
+
+        >>> x = ArrayLike([1, 2, 3])
+        >>> x - 1
+        ArrayLike(array([0, 1, 2]))
+        >>> 1 - x
+        ArrayLike(array([ 0, -1, -2]))
+        >>> np.arange(3) - x
+        ArrayLike(array([-1, -1, -1]))
+        >>> x - np.arange(3)
+        ArrayLike(array([1, 1, 1]))
+
+    Note that unlike ``numpy.ndarray``, ``ArrayLike`` does not allow operations
+    with arbitrary, unrecognized types. This ensures that interactions with
+    ArrayLike preserve a well-defined casting hierarchy.
+
+    """
+    __slots__ = ()
+    # Like np.ndarray, this mixin class implements "Option 1" from the ufunc
+    # overrides NEP.
+
+    # comparisons don't have reflected and in-place versions
+    __lt__ = _binary_method(um.less, 'lt')
+    __le__ = _binary_method(um.less_equal, 'le')
+    __eq__ = _binary_method(um.equal, 'eq')
+    __ne__ = _binary_method(um.not_equal, 'ne')
+    __gt__ = _binary_method(um.greater, 'gt')
+    __ge__ = _binary_method(um.greater_equal, 'ge')
+
+    # numeric methods
+    __add__, __radd__, __iadd__ = _numeric_methods(um.add, 'add')
+    __sub__, __rsub__, __isub__ = _numeric_methods(um.subtract, 'sub')
+    __mul__, __rmul__, __imul__ = _numeric_methods(um.multiply, 'mul')
+    __matmul__, __rmatmul__, __imatmul__ = _numeric_methods(
+        um.matmul, 'matmul')
+    # Python 3 does not use __div__, __rdiv__, or __idiv__
+    __truediv__, __rtruediv__, __itruediv__ = _numeric_methods(
+        um.true_divide, 'truediv')
+    __floordiv__, __rfloordiv__, __ifloordiv__ = _numeric_methods(
+        um.floor_divide, 'floordiv')
+    __mod__, __rmod__, __imod__ = _numeric_methods(um.remainder, 'mod')
+    __divmod__ = _binary_method(um.divmod, 'divmod')
+    __rdivmod__ = _reflected_binary_method(um.divmod, 'divmod')
+    # __idivmod__ does not exist
+    # TODO: handle the optional third argument for __pow__?
+    __pow__, __rpow__, __ipow__ = _numeric_methods(um.power, 'pow')
+    __lshift__, __rlshift__, __ilshift__ = _numeric_methods(
+        um.left_shift, 'lshift')
+    __rshift__, __rrshift__, __irshift__ = _numeric_methods(
+        um.right_shift, 'rshift')
+    __and__, __rand__, __iand__ = _numeric_methods(um.bitwise_and, 'and')
+    __xor__, __rxor__, __ixor__ = _numeric_methods(um.bitwise_xor, 'xor')
+    __or__, __ror__, __ior__ = _numeric_methods(um.bitwise_or, 'or')
+
+    # unary methods
+    __neg__ = _unary_method(um.negative, 'neg')
+    __pos__ = _unary_method(um.positive, 'pos')
+    __abs__ = _unary_method(um.absolute, 'abs')
+    __invert__ = _unary_method(um.invert, 'invert')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/mixins.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/mixins.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..d13d0fe81df48c4e725e6090c699498a9518e4a6
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/mixins.pyi
@@ -0,0 +1,74 @@
+from abc import ABCMeta, abstractmethod
+from typing import Literal as L, Any
+
+from numpy import ufunc
+
+__all__ = ["NDArrayOperatorsMixin"]
+
+# NOTE: `NDArrayOperatorsMixin` is not formally an abstract baseclass,
+# even though it's reliant on subclasses implementing `__array_ufunc__`
+
+# NOTE: The accepted input- and output-types of the various dunders are
+# completely dependent on how `__array_ufunc__` is implemented.
+# As such, only little type safety can be provided here.
+
+class NDArrayOperatorsMixin(metaclass=ABCMeta):
+    @abstractmethod
+    def __array_ufunc__(
+        self,
+        ufunc: ufunc,
+        method: L["__call__", "reduce", "reduceat", "accumulate", "outer", "at"],
+        *inputs: Any,
+        **kwargs: Any,
+    ) -> Any: ...
+    def __lt__(self, other: Any) -> Any: ...
+    def __le__(self, other: Any) -> Any: ...
+    def __eq__(self, other: Any) -> Any: ...
+    def __ne__(self, other: Any) -> Any: ...
+    def __gt__(self, other: Any) -> Any: ...
+    def __ge__(self, other: Any) -> Any: ...
+    def __add__(self, other: Any) -> Any: ...
+    def __radd__(self, other: Any) -> Any: ...
+    def __iadd__(self, other: Any) -> Any: ...
+    def __sub__(self, other: Any) -> Any: ...
+    def __rsub__(self, other: Any) -> Any: ...
+    def __isub__(self, other: Any) -> Any: ...
+    def __mul__(self, other: Any) -> Any: ...
+    def __rmul__(self, other: Any) -> Any: ...
+    def __imul__(self, other: Any) -> Any: ...
+    def __matmul__(self, other: Any) -> Any: ...
+    def __rmatmul__(self, other: Any) -> Any: ...
+    def __imatmul__(self, other: Any) -> Any: ...
+    def __truediv__(self, other: Any) -> Any: ...
+    def __rtruediv__(self, other: Any) -> Any: ...
+    def __itruediv__(self, other: Any) -> Any: ...
+    def __floordiv__(self, other: Any) -> Any: ...
+    def __rfloordiv__(self, other: Any) -> Any: ...
+    def __ifloordiv__(self, other: Any) -> Any: ...
+    def __mod__(self, other: Any) -> Any: ...
+    def __rmod__(self, other: Any) -> Any: ...
+    def __imod__(self, other: Any) -> Any: ...
+    def __divmod__(self, other: Any) -> Any: ...
+    def __rdivmod__(self, other: Any) -> Any: ...
+    def __pow__(self, other: Any) -> Any: ...
+    def __rpow__(self, other: Any) -> Any: ...
+    def __ipow__(self, other: Any) -> Any: ...
+    def __lshift__(self, other: Any) -> Any: ...
+    def __rlshift__(self, other: Any) -> Any: ...
+    def __ilshift__(self, other: Any) -> Any: ...
+    def __rshift__(self, other: Any) -> Any: ...
+    def __rrshift__(self, other: Any) -> Any: ...
+    def __irshift__(self, other: Any) -> Any: ...
+    def __and__(self, other: Any) -> Any: ...
+    def __rand__(self, other: Any) -> Any: ...
+    def __iand__(self, other: Any) -> Any: ...
+    def __xor__(self, other: Any) -> Any: ...
+    def __rxor__(self, other: Any) -> Any: ...
+    def __ixor__(self, other: Any) -> Any: ...
+    def __or__(self, other: Any) -> Any: ...
+    def __ror__(self, other: Any) -> Any: ...
+    def __ior__(self, other: Any) -> Any: ...
+    def __neg__(self) -> Any: ...
+    def __pos__(self) -> Any: ...
+    def __abs__(self) -> Any: ...
+    def __invert__(self) -> Any: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/npyio.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/npyio.py
new file mode 100644
index 0000000000000000000000000000000000000000..1003ef5be4b1940ddf6943a90d1bee786677c55e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/npyio.py
@@ -0,0 +1,3 @@
+from ._npyio_impl import (
+    __doc__, DataSource, NpzFile
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/npyio.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/npyio.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..fd3ae8f5a28778764a94fd791e72816b4db51320
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/npyio.pyi
@@ -0,0 +1,5 @@
+from numpy.lib._npyio_impl import (
+    DataSource as DataSource,
+    NpzFile as NpzFile,
+    __doc__ as __doc__,
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/recfunctions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/recfunctions.py
new file mode 100644
index 0000000000000000000000000000000000000000..8f4bae4f4721a4c16d9eb5950a97d0d2d3bb2779
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/recfunctions.py
@@ -0,0 +1,1685 @@
+"""
+Collection of utilities to manipulate structured arrays.
+
+Most of these functions were initially implemented by John Hunter for
+matplotlib.  They have been rewritten and extended for convenience.
+
+"""
+import itertools
+
+import numpy as np
+import numpy.ma as ma
+import numpy.ma.mrecords as mrec
+from numpy._core.overrides import array_function_dispatch
+from numpy.lib._iotools import _is_string_like
+
+
+__all__ = [
+    'append_fields', 'apply_along_fields', 'assign_fields_by_name',
+    'drop_fields', 'find_duplicates', 'flatten_descr',
+    'get_fieldstructure', 'get_names', 'get_names_flat',
+    'join_by', 'merge_arrays', 'rec_append_fields',
+    'rec_drop_fields', 'rec_join', 'recursive_fill_fields',
+    'rename_fields', 'repack_fields', 'require_fields',
+    'stack_arrays', 'structured_to_unstructured', 'unstructured_to_structured',
+    ]
+
+
+def _recursive_fill_fields_dispatcher(input, output):
+    return (input, output)
+
+
+@array_function_dispatch(_recursive_fill_fields_dispatcher)
+def recursive_fill_fields(input, output):
+    """
+    Fills fields from output with fields from input,
+    with support for nested structures.
+
+    Parameters
+    ----------
+    input : ndarray
+        Input array.
+    output : ndarray
+        Output array.
+
+    Notes
+    -----
+    * `output` should be at least the same size as `input`
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> a = np.array([(1, 10.), (2, 20.)], dtype=[('A', np.int64), ('B', np.float64)])
+    >>> b = np.zeros((3,), dtype=a.dtype)
+    >>> rfn.recursive_fill_fields(a, b)
+    array([(1, 10.), (2, 20.), (0,  0.)], dtype=[('A', '>> import numpy as np
+    >>> dt = np.dtype([(('a', 'A'), np.int64), ('b', np.double, 3)])
+    >>> dt.descr
+    [(('a', 'A'), '>> _get_fieldspec(dt)
+    [(('a', 'A'), dtype('int64')), ('b', dtype(('>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> rfn.get_names(np.empty((1,), dtype=[('A', int)]).dtype)
+    ('A',)
+    >>> rfn.get_names(np.empty((1,), dtype=[('A',int), ('B', float)]).dtype)
+    ('A', 'B')
+    >>> adtype = np.dtype([('a', int), ('b', [('ba', int), ('bb', int)])])
+    >>> rfn.get_names(adtype)
+    ('a', ('b', ('ba', 'bb')))
+    """
+    listnames = []
+    names = adtype.names
+    for name in names:
+        current = adtype[name]
+        if current.names is not None:
+            listnames.append((name, tuple(get_names(current))))
+        else:
+            listnames.append(name)
+    return tuple(listnames)
+
+
+def get_names_flat(adtype):
+    """
+    Returns the field names of the input datatype as a tuple. Input datatype
+    must have fields otherwise error is raised.
+    Nested structure are flattened beforehand.
+
+    Parameters
+    ----------
+    adtype : dtype
+        Input datatype
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> rfn.get_names_flat(np.empty((1,), dtype=[('A', int)]).dtype) is None
+    False
+    >>> rfn.get_names_flat(np.empty((1,), dtype=[('A',int), ('B', str)]).dtype)
+    ('A', 'B')
+    >>> adtype = np.dtype([('a', int), ('b', [('ba', int), ('bb', int)])])
+    >>> rfn.get_names_flat(adtype)
+    ('a', 'b', 'ba', 'bb')
+    """
+    listnames = []
+    names = adtype.names
+    for name in names:
+        listnames.append(name)
+        current = adtype[name]
+        if current.names is not None:
+            listnames.extend(get_names_flat(current))
+    return tuple(listnames)
+
+
+def flatten_descr(ndtype):
+    """
+    Flatten a structured data-type description.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> ndtype = np.dtype([('a', '>> rfn.flatten_descr(ndtype)
+    (('a', dtype('int32')), ('ba', dtype('float64')), ('bb', dtype('int32')))
+
+    """
+    names = ndtype.names
+    if names is None:
+        return (('', ndtype),)
+    else:
+        descr = []
+        for field in names:
+            (typ, _) = ndtype.fields[field]
+            if typ.names is not None:
+                descr.extend(flatten_descr(typ))
+            else:
+                descr.append((field, typ))
+        return tuple(descr)
+
+
+def _zip_dtype(seqarrays, flatten=False):
+    newdtype = []
+    if flatten:
+        for a in seqarrays:
+            newdtype.extend(flatten_descr(a.dtype))
+    else:
+        for a in seqarrays:
+            current = a.dtype
+            if current.names is not None and len(current.names) == 1:
+                # special case - dtypes of 1 field are flattened
+                newdtype.extend(_get_fieldspec(current))
+            else:
+                newdtype.append(('', current))
+    return np.dtype(newdtype)
+
+
+def _zip_descr(seqarrays, flatten=False):
+    """
+    Combine the dtype description of a series of arrays.
+
+    Parameters
+    ----------
+    seqarrays : sequence of arrays
+        Sequence of arrays
+    flatten : {boolean}, optional
+        Whether to collapse nested descriptions.
+    """
+    return _zip_dtype(seqarrays, flatten=flatten).descr
+
+
+def get_fieldstructure(adtype, lastname=None, parents=None,):
+    """
+    Returns a dictionary with fields indexing lists of their parent fields.
+
+    This function is used to simplify access to fields nested in other fields.
+
+    Parameters
+    ----------
+    adtype : np.dtype
+        Input datatype
+    lastname : optional
+        Last processed field name (used internally during recursion).
+    parents : dictionary
+        Dictionary of parent fields (used internally during recursion).
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> ndtype =  np.dtype([('A', int),
+    ...                     ('B', [('BA', int),
+    ...                            ('BB', [('BBA', int), ('BBB', int)])])])
+    >>> rfn.get_fieldstructure(ndtype)
+    ... # XXX: possible regression, order of BBA and BBB is swapped
+    {'A': [], 'B': [], 'BA': ['B'], 'BB': ['B'], 'BBA': ['B', 'BB'], 'BBB': ['B', 'BB']}
+
+    """
+    if parents is None:
+        parents = {}
+    names = adtype.names
+    for name in names:
+        current = adtype[name]
+        if current.names is not None:
+            if lastname:
+                parents[name] = [lastname, ]
+            else:
+                parents[name] = []
+            parents.update(get_fieldstructure(current, name, parents))
+        else:
+            lastparent = list((parents.get(lastname, []) or []))
+            if lastparent:
+                lastparent.append(lastname)
+            elif lastname:
+                lastparent = [lastname, ]
+            parents[name] = lastparent or []
+    return parents
+
+
+def _izip_fields_flat(iterable):
+    """
+    Returns an iterator of concatenated fields from a sequence of arrays,
+    collapsing any nested structure.
+
+    """
+    for element in iterable:
+        if isinstance(element, np.void):
+            yield from _izip_fields_flat(tuple(element))
+        else:
+            yield element
+
+
+def _izip_fields(iterable):
+    """
+    Returns an iterator of concatenated fields from a sequence of arrays.
+
+    """
+    for element in iterable:
+        if (hasattr(element, '__iter__') and
+                not isinstance(element, str)):
+            yield from _izip_fields(element)
+        elif isinstance(element, np.void) and len(tuple(element)) == 1:
+            # this statement is the same from the previous expression
+            yield from _izip_fields(element)
+        else:
+            yield element
+
+
+def _izip_records(seqarrays, fill_value=None, flatten=True):
+    """
+    Returns an iterator of concatenated items from a sequence of arrays.
+
+    Parameters
+    ----------
+    seqarrays : sequence of arrays
+        Sequence of arrays.
+    fill_value : {None, integer}
+        Value used to pad shorter iterables.
+    flatten : {True, False},
+        Whether to
+    """
+
+    # Should we flatten the items, or just use a nested approach
+    if flatten:
+        zipfunc = _izip_fields_flat
+    else:
+        zipfunc = _izip_fields
+
+    for tup in itertools.zip_longest(*seqarrays, fillvalue=fill_value):
+        yield tuple(zipfunc(tup))
+
+
+def _fix_output(output, usemask=True, asrecarray=False):
+    """
+    Private function: return a recarray, a ndarray, a MaskedArray
+    or a MaskedRecords depending on the input parameters
+    """
+    if not isinstance(output, ma.MaskedArray):
+        usemask = False
+    if usemask:
+        if asrecarray:
+            output = output.view(mrec.MaskedRecords)
+    else:
+        output = ma.filled(output)
+        if asrecarray:
+            output = output.view(np.recarray)
+    return output
+
+
+def _fix_defaults(output, defaults=None):
+    """
+    Update the fill_value and masked data of `output`
+    from the default given in a dictionary defaults.
+    """
+    names = output.dtype.names
+    (data, mask, fill_value) = (output.data, output.mask, output.fill_value)
+    for (k, v) in (defaults or {}).items():
+        if k in names:
+            fill_value[k] = v
+            data[k][mask[k]] = v
+    return output
+
+
+def _merge_arrays_dispatcher(seqarrays, fill_value=None, flatten=None,
+                             usemask=None, asrecarray=None):
+    return seqarrays
+
+
+@array_function_dispatch(_merge_arrays_dispatcher)
+def merge_arrays(seqarrays, fill_value=-1, flatten=False,
+                 usemask=False, asrecarray=False):
+    """
+    Merge arrays field by field.
+
+    Parameters
+    ----------
+    seqarrays : sequence of ndarrays
+        Sequence of arrays
+    fill_value : {float}, optional
+        Filling value used to pad missing data on the shorter arrays.
+    flatten : {False, True}, optional
+        Whether to collapse nested fields.
+    usemask : {False, True}, optional
+        Whether to return a masked array or not.
+    asrecarray : {False, True}, optional
+        Whether to return a recarray (MaskedRecords) or not.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> rfn.merge_arrays((np.array([1, 2]), np.array([10., 20., 30.])))
+    array([( 1, 10.), ( 2, 20.), (-1, 30.)],
+          dtype=[('f0', '>> rfn.merge_arrays((np.array([1, 2], dtype=np.int64),
+    ...         np.array([10., 20., 30.])), usemask=False)
+     array([(1, 10.0), (2, 20.0), (-1, 30.0)],
+             dtype=[('f0', '>> rfn.merge_arrays((np.array([1, 2]).view([('a', np.int64)]),
+    ...               np.array([10., 20., 30.])),
+    ...              usemask=False, asrecarray=True)
+    rec.array([( 1, 10.), ( 2, 20.), (-1, 30.)],
+              dtype=[('a', '>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> a = np.array([(1, (2, 3.0)), (4, (5, 6.0))],
+    ...   dtype=[('a', np.int64), ('b', [('ba', np.double), ('bb', np.int64)])])
+    >>> rfn.drop_fields(a, 'a')
+    array([((2., 3),), ((5., 6),)],
+          dtype=[('b', [('ba', '>> rfn.drop_fields(a, 'ba')
+    array([(1, (3,)), (4, (6,))], dtype=[('a', '>> rfn.drop_fields(a, ['ba', 'bb'])
+    array([(1,), (4,)], dtype=[('a', '>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> a = np.array([(1, (2, [3.0, 30.])), (4, (5, [6.0, 60.]))],
+    ...   dtype=[('a', int),('b', [('ba', float), ('bb', (float, 2))])])
+    >>> rfn.rename_fields(a, {'a':'A', 'bb':'BB'})
+    array([(1, (2., [ 3., 30.])), (4, (5., [ 6., 60.]))],
+          dtype=[('A', ' 1:
+        data = merge_arrays(data, flatten=True, usemask=usemask,
+                            fill_value=fill_value)
+    else:
+        data = data.pop()
+    #
+    output = ma.masked_all(
+        max(len(base), len(data)),
+        dtype=_get_fieldspec(base.dtype) + _get_fieldspec(data.dtype))
+    output = recursive_fill_fields(base, output)
+    output = recursive_fill_fields(data, output)
+    #
+    return _fix_output(output, usemask=usemask, asrecarray=asrecarray)
+
+
+def _rec_append_fields_dispatcher(base, names, data, dtypes=None):
+    yield base
+    yield from data
+
+
+@array_function_dispatch(_rec_append_fields_dispatcher)
+def rec_append_fields(base, names, data, dtypes=None):
+    """
+    Add new fields to an existing array.
+
+    The names of the fields are given with the `names` arguments,
+    the corresponding values with the `data` arguments.
+    If a single field is appended, `names`, `data` and `dtypes` do not have
+    to be lists but just values.
+
+    Parameters
+    ----------
+    base : array
+        Input array to extend.
+    names : string, sequence
+        String or sequence of strings corresponding to the names
+        of the new fields.
+    data : array or sequence of arrays
+        Array or sequence of arrays storing the fields to add to the base.
+    dtypes : sequence of datatypes, optional
+        Datatype or sequence of datatypes.
+        If None, the datatypes are estimated from the `data`.
+
+    See Also
+    --------
+    append_fields
+
+    Returns
+    -------
+    appended_array : np.recarray
+    """
+    return append_fields(base, names, data=data, dtypes=dtypes,
+                         asrecarray=True, usemask=False)
+
+
+def _repack_fields_dispatcher(a, align=None, recurse=None):
+    return (a,)
+
+
+@array_function_dispatch(_repack_fields_dispatcher)
+def repack_fields(a, align=False, recurse=False):
+    """
+    Re-pack the fields of a structured array or dtype in memory.
+
+    The memory layout of structured datatypes allows fields at arbitrary
+    byte offsets. This means the fields can be separated by padding bytes,
+    their offsets can be non-monotonically increasing, and they can overlap.
+
+    This method removes any overlaps and reorders the fields in memory so they
+    have increasing byte offsets, and adds or removes padding bytes depending
+    on the `align` option, which behaves like the `align` option to
+    `numpy.dtype`.
+
+    If `align=False`, this method produces a "packed" memory layout in which
+    each field starts at the byte the previous field ended, and any padding
+    bytes are removed.
+
+    If `align=True`, this methods produces an "aligned" memory layout in which
+    each field's offset is a multiple of its alignment, and the total itemsize
+    is a multiple of the largest alignment, by adding padding bytes as needed.
+
+    Parameters
+    ----------
+    a : ndarray or dtype
+       array or dtype for which to repack the fields.
+    align : boolean
+       If true, use an "aligned" memory layout, otherwise use a "packed" layout.
+    recurse : boolean
+       If True, also repack nested structures.
+
+    Returns
+    -------
+    repacked : ndarray or dtype
+       Copy of `a` with fields repacked, or `a` itself if no repacking was
+       needed.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    >>> from numpy.lib import recfunctions as rfn
+    >>> def print_offsets(d):
+    ...     print("offsets:", [d.fields[name][1] for name in d.names])
+    ...     print("itemsize:", d.itemsize)
+    ...
+    >>> dt = np.dtype('u1, >> dt
+    dtype({'names': ['f0', 'f1', 'f2'], 'formats': ['u1', '>> print_offsets(dt)
+    offsets: [0, 8, 16]
+    itemsize: 24
+    >>> packed_dt = rfn.repack_fields(dt)
+    >>> packed_dt
+    dtype([('f0', 'u1'), ('f1', '>> print_offsets(packed_dt)
+    offsets: [0, 1, 9]
+    itemsize: 17
+
+    """
+    if not isinstance(a, np.dtype):
+        dt = repack_fields(a.dtype, align=align, recurse=recurse)
+        return a.astype(dt, copy=False)
+
+    if a.names is None:
+        return a
+
+    fieldinfo = []
+    for name in a.names:
+        tup = a.fields[name]
+        if recurse:
+            fmt = repack_fields(tup[0], align=align, recurse=True)
+        else:
+            fmt = tup[0]
+
+        if len(tup) == 3:
+            name = (tup[2], name)
+
+        fieldinfo.append((name, fmt))
+
+    dt = np.dtype(fieldinfo, align=align)
+    return np.dtype((a.type, dt))
+
+def _get_fields_and_offsets(dt, offset=0):
+    """
+    Returns a flat list of (dtype, count, offset) tuples of all the
+    scalar fields in the dtype "dt", including nested fields, in left
+    to right order.
+    """
+
+    # counts up elements in subarrays, including nested subarrays, and returns
+    # base dtype and count
+    def count_elem(dt):
+        count = 1
+        while dt.shape != ():
+            for size in dt.shape:
+                count *= size
+            dt = dt.base
+        return dt, count
+
+    fields = []
+    for name in dt.names:
+        field = dt.fields[name]
+        f_dt, f_offset = field[0], field[1]
+        f_dt, n = count_elem(f_dt)
+
+        if f_dt.names is None:
+            fields.append((np.dtype((f_dt, (n,))), n, f_offset + offset))
+        else:
+            subfields = _get_fields_and_offsets(f_dt, f_offset + offset)
+            size = f_dt.itemsize
+
+            for i in range(n):
+                if i == 0:
+                    # optimization: avoid list comprehension if no subarray
+                    fields.extend(subfields)
+                else:
+                    fields.extend([(d, c, o + i*size) for d, c, o in subfields])
+    return fields
+
+def _common_stride(offsets, counts, itemsize):
+    """
+    Returns the stride between the fields, or None if the stride is not
+    constant. The values in "counts" designate the lengths of
+    subarrays. Subarrays are treated as many contiguous fields, with
+    always positive stride.
+    """
+    if len(offsets) <= 1:
+        return itemsize
+
+    negative = offsets[1] < offsets[0]  # negative stride
+    if negative:
+        # reverse, so offsets will be ascending
+        it = zip(reversed(offsets), reversed(counts))
+    else:
+        it = zip(offsets, counts)
+
+    prev_offset = None
+    stride = None
+    for offset, count in it:
+        if count != 1:  # subarray: always c-contiguous
+            if negative:
+                return None  # subarrays can never have a negative stride
+            if stride is None:
+                stride = itemsize
+            if stride != itemsize:
+                return None
+            end_offset = offset + (count - 1) * itemsize
+        else:
+            end_offset = offset
+
+        if prev_offset is not None:
+            new_stride = offset - prev_offset
+            if stride is None:
+                stride = new_stride
+            if stride != new_stride:
+                return None
+
+        prev_offset = end_offset
+
+    if negative:
+        return -stride
+    return stride
+
+
+def _structured_to_unstructured_dispatcher(arr, dtype=None, copy=None,
+                                           casting=None):
+    return (arr,)
+
+@array_function_dispatch(_structured_to_unstructured_dispatcher)
+def structured_to_unstructured(arr, dtype=None, copy=False, casting='unsafe'):
+    """
+    Converts an n-D structured array into an (n+1)-D unstructured array.
+
+    The new array will have a new last dimension equal in size to the
+    number of field-elements of the input array. If not supplied, the output
+    datatype is determined from the numpy type promotion rules applied to all
+    the field datatypes.
+
+    Nested fields, as well as each element of any subarray fields, all count
+    as a single field-elements.
+
+    Parameters
+    ----------
+    arr : ndarray
+       Structured array or dtype to convert. Cannot contain object datatype.
+    dtype : dtype, optional
+       The dtype of the output unstructured array.
+    copy : bool, optional
+        If true, always return a copy. If false, a view is returned if
+        possible, such as when the `dtype` and strides of the fields are
+        suitable and the array subtype is one of `numpy.ndarray`,
+        `numpy.recarray` or `numpy.memmap`.
+
+        .. versionchanged:: 1.25.0
+            A view can now be returned if the fields are separated by a
+            uniform stride.
+
+    casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional
+        See casting argument of `numpy.ndarray.astype`. Controls what kind of
+        data casting may occur.
+
+    Returns
+    -------
+    unstructured : ndarray
+       Unstructured array with one more dimension.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    >>> from numpy.lib import recfunctions as rfn
+    >>> a = np.zeros(4, dtype=[('a', 'i4'), ('b', 'f4,u2'), ('c', 'f4', 2)])
+    >>> a
+    array([(0, (0., 0), [0., 0.]), (0, (0., 0), [0., 0.]),
+           (0, (0., 0), [0., 0.]), (0, (0., 0), [0., 0.])],
+          dtype=[('a', '>> rfn.structured_to_unstructured(a)
+    array([[0., 0., 0., 0., 0.],
+           [0., 0., 0., 0., 0.],
+           [0., 0., 0., 0., 0.],
+           [0., 0., 0., 0., 0.]])
+
+    >>> b = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)],
+    ...              dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')])
+    >>> np.mean(rfn.structured_to_unstructured(b[['x', 'z']]), axis=-1)
+    array([ 3. ,  5.5,  9. , 11. ])
+
+    """
+    if arr.dtype.names is None:
+        raise ValueError('arr must be a structured array')
+
+    fields = _get_fields_and_offsets(arr.dtype)
+    n_fields = len(fields)
+    if n_fields == 0 and dtype is None:
+        raise ValueError("arr has no fields. Unable to guess dtype")
+    elif n_fields == 0:
+        # too many bugs elsewhere for this to work now
+        raise NotImplementedError("arr with no fields is not supported")
+
+    dts, counts, offsets = zip(*fields)
+    names = ['f{}'.format(n) for n in range(n_fields)]
+
+    if dtype is None:
+        out_dtype = np.result_type(*[dt.base for dt in dts])
+    else:
+        out_dtype = np.dtype(dtype)
+
+    # Use a series of views and casts to convert to an unstructured array:
+
+    # first view using flattened fields (doesn't work for object arrays)
+    # Note: dts may include a shape for subarrays
+    flattened_fields = np.dtype({'names': names,
+                                 'formats': dts,
+                                 'offsets': offsets,
+                                 'itemsize': arr.dtype.itemsize})
+    arr = arr.view(flattened_fields)
+
+    # we only allow a few types to be unstructured by manipulating the
+    # strides, because we know it won't work with, for example, np.matrix nor
+    # np.ma.MaskedArray.
+    can_view = type(arr) in (np.ndarray, np.recarray, np.memmap)
+    if (not copy) and can_view and all(dt.base == out_dtype for dt in dts):
+        # all elements have the right dtype already; if they have a common
+        # stride, we can just return a view
+        common_stride = _common_stride(offsets, counts, out_dtype.itemsize)
+        if common_stride is not None:
+            wrap = arr.__array_wrap__
+
+            new_shape = arr.shape + (sum(counts), out_dtype.itemsize)
+            new_strides = arr.strides + (abs(common_stride), 1)
+
+            arr = arr[..., np.newaxis].view(np.uint8)  # view as bytes
+            arr = arr[..., min(offsets):]  # remove the leading unused data
+            arr = np.lib.stride_tricks.as_strided(arr,
+                                                  new_shape,
+                                                  new_strides,
+                                                  subok=True)
+
+            # cast and drop the last dimension again
+            arr = arr.view(out_dtype)[..., 0]
+
+            if common_stride < 0:
+                arr = arr[..., ::-1]  # reverse, if the stride was negative
+            if type(arr) is not type(wrap.__self__):
+                # Some types (e.g. recarray) turn into an ndarray along the
+                # way, so we have to wrap it again in order to match the
+                # behavior with copy=True.
+                arr = wrap(arr)
+            return arr
+
+    # next cast to a packed format with all fields converted to new dtype
+    packed_fields = np.dtype({'names': names,
+                              'formats': [(out_dtype, dt.shape) for dt in dts]})
+    arr = arr.astype(packed_fields, copy=copy, casting=casting)
+
+    # finally is it safe to view the packed fields as the unstructured type
+    return arr.view((out_dtype, (sum(counts),)))
+
+
+def _unstructured_to_structured_dispatcher(arr, dtype=None, names=None,
+                                           align=None, copy=None, casting=None):
+    return (arr,)
+
+@array_function_dispatch(_unstructured_to_structured_dispatcher)
+def unstructured_to_structured(arr, dtype=None, names=None, align=False,
+                               copy=False, casting='unsafe'):
+    """
+    Converts an n-D unstructured array into an (n-1)-D structured array.
+
+    The last dimension of the input array is converted into a structure, with
+    number of field-elements equal to the size of the last dimension of the
+    input array. By default all output fields have the input array's dtype, but
+    an output structured dtype with an equal number of fields-elements can be
+    supplied instead.
+
+    Nested fields, as well as each element of any subarray fields, all count
+    towards the number of field-elements.
+
+    Parameters
+    ----------
+    arr : ndarray
+       Unstructured array or dtype to convert.
+    dtype : dtype, optional
+       The structured dtype of the output array
+    names : list of strings, optional
+       If dtype is not supplied, this specifies the field names for the output
+       dtype, in order. The field dtypes will be the same as the input array.
+    align : boolean, optional
+       Whether to create an aligned memory layout.
+    copy : bool, optional
+        See copy argument to `numpy.ndarray.astype`. If true, always return a
+        copy. If false, and `dtype` requirements are satisfied, a view is
+        returned.
+    casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional
+        See casting argument of `numpy.ndarray.astype`. Controls what kind of
+        data casting may occur.
+
+    Returns
+    -------
+    structured : ndarray
+       Structured array with fewer dimensions.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    >>> from numpy.lib import recfunctions as rfn
+    >>> dt = np.dtype([('a', 'i4'), ('b', 'f4,u2'), ('c', 'f4', 2)])
+    >>> a = np.arange(20).reshape((4,5))
+    >>> a
+    array([[ 0,  1,  2,  3,  4],
+           [ 5,  6,  7,  8,  9],
+           [10, 11, 12, 13, 14],
+           [15, 16, 17, 18, 19]])
+    >>> rfn.unstructured_to_structured(a, dt)
+    array([( 0, ( 1.,  2), [ 3.,  4.]), ( 5, ( 6.,  7), [ 8.,  9.]),
+           (10, (11., 12), [13., 14.]), (15, (16., 17), [18., 19.])],
+          dtype=[('a', '>> import numpy as np
+
+    >>> from numpy.lib import recfunctions as rfn
+    >>> b = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)],
+    ...              dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')])
+    >>> rfn.apply_along_fields(np.mean, b)
+    array([ 2.66666667,  5.33333333,  8.66666667, 11.        ])
+    >>> rfn.apply_along_fields(np.mean, b[['x', 'z']])
+    array([ 3. ,  5.5,  9. , 11. ])
+
+    """
+    if arr.dtype.names is None:
+        raise ValueError('arr must be a structured array')
+
+    uarr = structured_to_unstructured(arr)
+    return func(uarr, axis=-1)
+    # works and avoids axis requirement, but very, very slow:
+    #return np.apply_along_axis(func, -1, uarr)
+
+def _assign_fields_by_name_dispatcher(dst, src, zero_unassigned=None):
+    return dst, src
+
+@array_function_dispatch(_assign_fields_by_name_dispatcher)
+def assign_fields_by_name(dst, src, zero_unassigned=True):
+    """
+    Assigns values from one structured array to another by field name.
+
+    Normally in numpy >= 1.14, assignment of one structured array to another
+    copies fields "by position", meaning that the first field from the src is
+    copied to the first field of the dst, and so on, regardless of field name.
+
+    This function instead copies "by field name", such that fields in the dst
+    are assigned from the identically named field in the src. This applies
+    recursively for nested structures. This is how structure assignment worked
+    in numpy >= 1.6 to <= 1.13.
+
+    Parameters
+    ----------
+    dst : ndarray
+    src : ndarray
+        The source and destination arrays during assignment.
+    zero_unassigned : bool, optional
+        If True, fields in the dst for which there was no matching
+        field in the src are filled with the value 0 (zero). This
+        was the behavior of numpy <= 1.13. If False, those fields
+        are not modified.
+    """
+
+    if dst.dtype.names is None:
+        dst[...] = src
+        return
+
+    for name in dst.dtype.names:
+        if name not in src.dtype.names:
+            if zero_unassigned:
+                dst[name] = 0
+        else:
+            assign_fields_by_name(dst[name], src[name],
+                                  zero_unassigned)
+
+def _require_fields_dispatcher(array, required_dtype):
+    return (array,)
+
+@array_function_dispatch(_require_fields_dispatcher)
+def require_fields(array, required_dtype):
+    """
+    Casts a structured array to a new dtype using assignment by field-name.
+
+    This function assigns from the old to the new array by name, so the
+    value of a field in the output array is the value of the field with the
+    same name in the source array. This has the effect of creating a new
+    ndarray containing only the fields "required" by the required_dtype.
+
+    If a field name in the required_dtype does not exist in the
+    input array, that field is created and set to 0 in the output array.
+
+    Parameters
+    ----------
+    a : ndarray
+       array to cast
+    required_dtype : dtype
+       datatype for output array
+
+    Returns
+    -------
+    out : ndarray
+        array with the new dtype, with field values copied from the fields in
+        the input array with the same name
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    >>> from numpy.lib import recfunctions as rfn
+    >>> a = np.ones(4, dtype=[('a', 'i4'), ('b', 'f8'), ('c', 'u1')])
+    >>> rfn.require_fields(a, [('b', 'f4'), ('c', 'u1')])
+    array([(1., 1), (1., 1), (1., 1), (1., 1)],
+      dtype=[('b', '>> rfn.require_fields(a, [('b', 'f4'), ('newf', 'u1')])
+    array([(1., 0), (1., 0), (1., 0), (1., 0)],
+      dtype=[('b', '>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> x = np.array([1, 2,])
+    >>> rfn.stack_arrays(x) is x
+    True
+    >>> z = np.array([('A', 1), ('B', 2)], dtype=[('A', '|S3'), ('B', float)])
+    >>> zz = np.array([('a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)],
+    ...   dtype=[('A', '|S3'), ('B', np.double), ('C', np.double)])
+    >>> test = rfn.stack_arrays((z,zz))
+    >>> test
+    masked_array(data=[(b'A', 1.0, --), (b'B', 2.0, --), (b'a', 10.0, 100.0),
+                       (b'b', 20.0, 200.0), (b'c', 30.0, 300.0)],
+                 mask=[(False, False,  True), (False, False,  True),
+                       (False, False, False), (False, False, False),
+                       (False, False, False)],
+           fill_value=(b'N/A', 1e+20, 1e+20),
+                dtype=[('A', 'S3'), ('B', ' '%s'" %
+                                    (cdtype, fdtype))
+    # Only one field: use concatenate
+    if len(newdescr) == 1:
+        output = ma.concatenate(seqarrays)
+    else:
+        #
+        output = ma.masked_all((np.sum(nrecords),), newdescr)
+        offset = np.cumsum(np.r_[0, nrecords])
+        seen = []
+        for (a, n, i, j) in zip(seqarrays, fldnames, offset[:-1], offset[1:]):
+            names = a.dtype.names
+            if names is None:
+                output['f%i' % len(seen)][i:j] = a
+            else:
+                for name in n:
+                    output[name][i:j] = a[name]
+                    if name not in seen:
+                        seen.append(name)
+    #
+    return _fix_output(_fix_defaults(output, defaults),
+                       usemask=usemask, asrecarray=asrecarray)
+
+
+def _find_duplicates_dispatcher(
+        a, key=None, ignoremask=None, return_index=None):
+    return (a,)
+
+
+@array_function_dispatch(_find_duplicates_dispatcher)
+def find_duplicates(a, key=None, ignoremask=True, return_index=False):
+    """
+    Find the duplicates in a structured array along a given key
+
+    Parameters
+    ----------
+    a : array-like
+        Input array
+    key : {string, None}, optional
+        Name of the fields along which to check the duplicates.
+        If None, the search is performed by records
+    ignoremask : {True, False}, optional
+        Whether masked data should be discarded or considered as duplicates.
+    return_index : {False, True}, optional
+        Whether to return the indices of the duplicated values.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.lib import recfunctions as rfn
+    >>> ndtype = [('a', int)]
+    >>> a = np.ma.array([1, 1, 1, 2, 2, 3, 3],
+    ...         mask=[0, 0, 1, 0, 0, 0, 1]).view(ndtype)
+    >>> rfn.find_duplicates(a, ignoremask=True, return_index=True)
+    (masked_array(data=[(1,), (1,), (2,), (2,)],
+                 mask=[(False,), (False,), (False,), (False,)],
+           fill_value=(999999,),
+                dtype=[('a', '= nb1)] - nb1
+    (r1cmn, r2cmn) = (len(idx_1), len(idx_2))
+    if jointype == 'inner':
+        (r1spc, r2spc) = (0, 0)
+    elif jointype == 'outer':
+        idx_out = idx_sort[~flag_in]
+        idx_1 = np.concatenate((idx_1, idx_out[(idx_out < nb1)]))
+        idx_2 = np.concatenate((idx_2, idx_out[(idx_out >= nb1)] - nb1))
+        (r1spc, r2spc) = (len(idx_1) - r1cmn, len(idx_2) - r2cmn)
+    elif jointype == 'leftouter':
+        idx_out = idx_sort[~flag_in]
+        idx_1 = np.concatenate((idx_1, idx_out[(idx_out < nb1)]))
+        (r1spc, r2spc) = (len(idx_1) - r1cmn, 0)
+    # Select the entries from each input
+    (s1, s2) = (r1[idx_1], r2[idx_2])
+    #
+    # Build the new description of the output array .......
+    # Start with the key fields
+    ndtype = _get_fieldspec(r1k.dtype)
+
+    # Add the fields from r1
+    for fname, fdtype in _get_fieldspec(r1.dtype):
+        if fname not in key:
+            ndtype.append((fname, fdtype))
+
+    # Add the fields from r2
+    for fname, fdtype in _get_fieldspec(r2.dtype):
+        # Have we seen the current name already ?
+        # we need to rebuild this list every time
+        names = list(name for name, dtype in ndtype)
+        try:
+            nameidx = names.index(fname)
+        except ValueError:
+            #... we haven't: just add the description to the current list
+            ndtype.append((fname, fdtype))
+        else:
+            # collision
+            _, cdtype = ndtype[nameidx]
+            if fname in key:
+                # The current field is part of the key: take the largest dtype
+                ndtype[nameidx] = (fname, max(fdtype, cdtype))
+            else:
+                # The current field is not part of the key: add the suffixes,
+                # and place the new field adjacent to the old one
+                ndtype[nameidx:nameidx + 1] = [
+                    (fname + r1postfix, cdtype),
+                    (fname + r2postfix, fdtype)
+                ]
+    # Rebuild a dtype from the new fields
+    ndtype = np.dtype(ndtype)
+    # Find the largest nb of common fields :
+    # r1cmn and r2cmn should be equal, but...
+    cmn = max(r1cmn, r2cmn)
+    # Construct an empty array
+    output = ma.masked_all((cmn + r1spc + r2spc,), dtype=ndtype)
+    names = output.dtype.names
+    for f in r1names:
+        selected = s1[f]
+        if f not in names or (f in r2names and not r2postfix and f not in key):
+            f += r1postfix
+        current = output[f]
+        current[:r1cmn] = selected[:r1cmn]
+        if jointype in ('outer', 'leftouter'):
+            current[cmn:cmn + r1spc] = selected[r1cmn:]
+    for f in r2names:
+        selected = s2[f]
+        if f not in names or (f in r1names and not r1postfix and f not in key):
+            f += r2postfix
+        current = output[f]
+        current[:r2cmn] = selected[:r2cmn]
+        if (jointype == 'outer') and r2spc:
+            current[-r2spc:] = selected[r2cmn:]
+    # Sort and finalize the output
+    output.sort(order=key)
+    kwargs = dict(usemask=usemask, asrecarray=asrecarray)
+    return _fix_output(_fix_defaults(output, defaults), **kwargs)
+
+
+def _rec_join_dispatcher(
+        key, r1, r2, jointype=None, r1postfix=None, r2postfix=None,
+        defaults=None):
+    return (r1, r2)
+
+
+@array_function_dispatch(_rec_join_dispatcher)
+def rec_join(key, r1, r2, jointype='inner', r1postfix='1', r2postfix='2',
+             defaults=None):
+    """
+    Join arrays `r1` and `r2` on keys.
+    Alternative to join_by, that always returns a np.recarray.
+
+    See Also
+    --------
+    join_by : equivalent function
+    """
+    kwargs = dict(jointype=jointype, r1postfix=r1postfix, r2postfix=r2postfix,
+                  defaults=defaults, usemask=False, asrecarray=True)
+    return join_by(key, r1, r2, **kwargs)
+
+
+del array_function_dispatch
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/recfunctions.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/recfunctions.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..442530e9cd39803ad0411527dbb24c6b60de54c4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/recfunctions.pyi
@@ -0,0 +1,435 @@
+from collections.abc import Callable, Iterable, Mapping, Sequence
+from typing import Any, Literal, TypeAlias, overload
+
+from _typeshed import Incomplete
+from typing_extensions import TypeVar
+
+import numpy as np
+import numpy.typing as npt
+from numpy._typing import _DTypeLike, _DTypeLikeVoid
+from numpy.ma.mrecords import MaskedRecords
+
+__all__ = [
+    "append_fields",
+    "apply_along_fields",
+    "assign_fields_by_name",
+    "drop_fields",
+    "find_duplicates",
+    "flatten_descr",
+    "get_fieldstructure",
+    "get_names",
+    "get_names_flat",
+    "join_by",
+    "merge_arrays",
+    "rec_append_fields",
+    "rec_drop_fields",
+    "rec_join",
+    "recursive_fill_fields",
+    "rename_fields",
+    "repack_fields",
+    "require_fields",
+    "stack_arrays",
+    "structured_to_unstructured",
+    "unstructured_to_structured",
+]
+
+_T = TypeVar("_T")
+_ShapeT = TypeVar("_ShapeT", bound=tuple[int, ...])
+_ScalarT = TypeVar("_ScalarT", bound=np.generic)
+_DTypeT = TypeVar("_DTypeT", bound=np.dtype[Any])
+_ArrayT = TypeVar("_ArrayT", bound=npt.NDArray[Any])
+_VoidArrayT = TypeVar("_VoidArrayT", bound=npt.NDArray[np.void])
+_NonVoidDTypeT = TypeVar("_NonVoidDTypeT", bound=_NonVoidDType)
+
+_OneOrMany: TypeAlias = _T | Iterable[_T]
+_BuiltinSequence: TypeAlias = tuple[_T, ...] | list[_T]
+
+_NestedNames: TypeAlias = tuple[str | _NestedNames, ...]
+_NonVoid: TypeAlias = np.bool | np.number | np.character | np.datetime64 | np.timedelta64 | np.object_
+_NonVoidDType: TypeAlias = np.dtype[_NonVoid] | np.dtypes.StringDType
+
+_JoinType: TypeAlias = Literal["inner", "outer", "leftouter"]
+
+###
+
+def recursive_fill_fields(input: npt.NDArray[np.void], output: _VoidArrayT) -> _VoidArrayT: ...
+
+#
+def get_names(adtype: np.dtype[np.void]) -> _NestedNames: ...
+def get_names_flat(adtype: np.dtype[np.void]) -> tuple[str, ...]: ...
+
+#
+@overload
+def flatten_descr(ndtype: _NonVoidDTypeT) -> tuple[tuple[Literal[""], _NonVoidDTypeT]]: ...
+@overload
+def flatten_descr(ndtype: np.dtype[np.void]) -> tuple[tuple[str, np.dtype[Any]]]: ...
+
+#
+def get_fieldstructure(
+    adtype: np.dtype[np.void],
+    lastname: str | None = None,
+    parents: dict[str, list[str]] | None = None,
+) -> dict[str, list[str]]: ...
+
+#
+@overload
+def merge_arrays(
+    seqarrays: Sequence[np.ndarray[_ShapeT, np.dtype[Any]]] | np.ndarray[_ShapeT, np.dtype[Any]],
+    fill_value: float = -1,
+    flatten: bool = False,
+    usemask: bool = False,
+    asrecarray: bool = False,
+) -> np.recarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def merge_arrays(
+    seqarrays: Sequence[npt.ArrayLike] | np.void,
+    fill_value: float = -1,
+    flatten: bool = False,
+    usemask: bool = False,
+    asrecarray: bool = False,
+) -> np.recarray[Any, np.dtype[np.void]]: ...
+
+#
+@overload
+def drop_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    drop_names: str | Iterable[str],
+    usemask: bool = True,
+    asrecarray: Literal[False] = False,
+) -> np.ndarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def drop_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    drop_names: str | Iterable[str],
+    usemask: bool,
+    asrecarray: Literal[True],
+) -> np.recarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def drop_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    drop_names: str | Iterable[str],
+    usemask: bool = True,
+    *,
+    asrecarray: Literal[True],
+) -> np.recarray[_ShapeT, np.dtype[np.void]]: ...
+
+#
+@overload
+def rename_fields(
+    base: MaskedRecords[_ShapeT, np.dtype[np.void]],
+    namemapper: Mapping[str, str],
+) -> MaskedRecords[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def rename_fields(
+    base: np.ma.MaskedArray[_ShapeT, np.dtype[np.void]],
+    namemapper: Mapping[str, str],
+) -> np.ma.MaskedArray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def rename_fields(
+    base: np.recarray[_ShapeT, np.dtype[np.void]],
+    namemapper: Mapping[str, str],
+) -> np.recarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def rename_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    namemapper: Mapping[str, str],
+) -> np.ndarray[_ShapeT, np.dtype[np.void]]: ...
+
+#
+@overload
+def append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None,
+    fill_value: int,
+    usemask: Literal[False],
+    asrecarray: Literal[False] = False,
+) -> np.ndarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None = None,
+    fill_value: int = -1,
+    *,
+    usemask: Literal[False],
+    asrecarray: Literal[False] = False,
+) -> np.ndarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None,
+    fill_value: int,
+    usemask: Literal[False],
+    asrecarray: Literal[True],
+) -> np.recarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None = None,
+    fill_value: int = -1,
+    *,
+    usemask: Literal[False],
+    asrecarray: Literal[True],
+) -> np.recarray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None = None,
+    fill_value: int = -1,
+    usemask: Literal[True] = True,
+    asrecarray: Literal[False] = False,
+) -> np.ma.MaskedArray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None,
+    fill_value: int,
+    usemask: Literal[True],
+    asrecarray: Literal[True],
+) -> MaskedRecords[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None = None,
+    fill_value: int = -1,
+    usemask: Literal[True] = True,
+    *,
+    asrecarray: Literal[True],
+) -> MaskedRecords[_ShapeT, np.dtype[np.void]]: ...
+
+#
+def rec_drop_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    drop_names: str | Iterable[str],
+) -> np.recarray[_ShapeT, np.dtype[np.void]]: ...
+
+#
+def rec_append_fields(
+    base: np.ndarray[_ShapeT, np.dtype[np.void]],
+    names: _OneOrMany[str],
+    data: _OneOrMany[npt.NDArray[Any]],
+    dtypes: _BuiltinSequence[np.dtype[Any]] | None = None,
+) -> np.ma.MaskedArray[_ShapeT, np.dtype[np.void]]: ...
+
+# TODO(jorenham): Stop passing `void` directly once structured dtypes are implemented,
+# e.g. using a `TypeVar` with constraints.
+# https://github.com/numpy/numtype/issues/92
+@overload
+def repack_fields(a: _DTypeT, align: bool = False, recurse: bool = False) -> _DTypeT: ...
+@overload
+def repack_fields(a: _ScalarT, align: bool = False, recurse: bool = False) -> _ScalarT: ...
+@overload
+def repack_fields(a: _ArrayT, align: bool = False, recurse: bool = False) -> _ArrayT: ...
+
+# TODO(jorenham): Attempt shape-typing (return type has ndim == arr.ndim + 1)
+@overload
+def structured_to_unstructured(
+    arr: npt.NDArray[np.void],
+    dtype: _DTypeLike[_ScalarT],
+    copy: bool = False,
+    casting: np._CastingKind = "unsafe",
+) -> npt.NDArray[_ScalarT]: ...
+@overload
+def structured_to_unstructured(
+    arr: npt.NDArray[np.void],
+    dtype: npt.DTypeLike | None = None,
+    copy: bool = False,
+    casting: np._CastingKind = "unsafe",
+) -> npt.NDArray[Any]: ...
+
+#
+@overload
+def unstructured_to_structured(
+    arr: npt.NDArray[Any],
+    dtype: npt.DTypeLike,
+    names: None = None,
+    align: bool = False,
+    copy: bool = False,
+    casting: str = "unsafe",
+) -> npt.NDArray[np.void]: ...
+@overload
+def unstructured_to_structured(
+    arr: npt.NDArray[Any],
+    dtype: None,
+    names: _OneOrMany[str],
+    align: bool = False,
+    copy: bool = False,
+    casting: str = "unsafe",
+) -> npt.NDArray[np.void]: ...
+
+#
+def apply_along_fields(
+    func: Callable[[np.ndarray[_ShapeT, Any]], npt.NDArray[Any]],
+    arr: np.ndarray[_ShapeT, np.dtype[np.void]],
+) -> np.ndarray[_ShapeT, np.dtype[np.void]]: ...
+
+#
+def assign_fields_by_name(dst: npt.NDArray[np.void], src: npt.NDArray[np.void], zero_unassigned: bool = True) -> None: ...
+
+#
+def require_fields(
+    array: np.ndarray[_ShapeT, np.dtype[np.void]],
+    required_dtype: _DTypeLikeVoid,
+) -> np.ndarray[_ShapeT, np.dtype[np.void]]: ...
+
+# TODO(jorenham): Attempt shape-typing
+@overload
+def stack_arrays(
+    arrays: _ArrayT,
+    defaults: Mapping[str, object] | None = None,
+    usemask: bool = True,
+    asrecarray: bool = False,
+    autoconvert: bool = False,
+) -> _ArrayT: ...
+@overload
+def stack_arrays(
+    arrays: Sequence[npt.NDArray[Any]],
+    defaults: Mapping[str, Incomplete] | None,
+    usemask: Literal[False],
+    asrecarray: Literal[False] = False,
+    autoconvert: bool = False,
+) -> npt.NDArray[np.void]: ...
+@overload
+def stack_arrays(
+    arrays: Sequence[npt.NDArray[Any]],
+    defaults: Mapping[str, Incomplete] | None = None,
+    *,
+    usemask: Literal[False],
+    asrecarray: Literal[False] = False,
+    autoconvert: bool = False,
+) -> npt.NDArray[np.void]: ...
+@overload
+def stack_arrays(
+    arrays: Sequence[npt.NDArray[Any]],
+    defaults: Mapping[str, Incomplete] | None = None,
+    *,
+    usemask: Literal[False],
+    asrecarray: Literal[True],
+    autoconvert: bool = False,
+) -> np.recarray[tuple[int, ...], np.dtype[np.void]]: ...
+@overload
+def stack_arrays(
+    arrays: Sequence[npt.NDArray[Any]],
+    defaults: Mapping[str, Incomplete] | None = None,
+    usemask: Literal[True] = True,
+    asrecarray: Literal[False] = False,
+    autoconvert: bool = False,
+) -> np.ma.MaskedArray[tuple[int, ...], np.dtype[np.void]]: ...
+@overload
+def stack_arrays(
+    arrays: Sequence[npt.NDArray[Any]],
+    defaults: Mapping[str, Incomplete] | None,
+    usemask: Literal[True],
+    asrecarray: Literal[True],
+    autoconvert: bool = False,
+) -> MaskedRecords[tuple[int, ...], np.dtype[np.void]]: ...
+@overload
+def stack_arrays(
+    arrays: Sequence[npt.NDArray[Any]],
+    defaults: Mapping[str, Incomplete] | None = None,
+    usemask: Literal[True] = True,
+    *,
+    asrecarray: Literal[True],
+    autoconvert: bool = False,
+) -> MaskedRecords[tuple[int, ...], np.dtype[np.void]]: ...
+
+#
+@overload
+def find_duplicates(
+    a: np.ma.MaskedArray[_ShapeT, np.dtype[np.void]],
+    key: str | None = None,
+    ignoremask: bool = True,
+    return_index: Literal[False] = False,
+) -> np.ma.MaskedArray[_ShapeT, np.dtype[np.void]]: ...
+@overload
+def find_duplicates(
+    a: np.ma.MaskedArray[_ShapeT, np.dtype[np.void]],
+    key: str | None,
+    ignoremask: bool,
+    return_index: Literal[True],
+) -> tuple[np.ma.MaskedArray[_ShapeT, np.dtype[np.void]], np.ndarray[_ShapeT, np.dtype[np.int_]]]: ...
+@overload
+def find_duplicates(
+    a: np.ma.MaskedArray[_ShapeT, np.dtype[np.void]],
+    key: str | None = None,
+    ignoremask: bool = True,
+    *,
+    return_index: Literal[True],
+) -> tuple[np.ma.MaskedArray[_ShapeT, np.dtype[np.void]], np.ndarray[_ShapeT, np.dtype[np.int_]]]: ...
+
+#
+@overload
+def join_by(
+    key: str | Sequence[str],
+    r1: npt.NDArray[np.void],
+    r2: npt.NDArray[np.void],
+    jointype: _JoinType = "inner",
+    r1postfix: str = "1",
+    r2postfix: str = "2",
+    defaults: Mapping[str, object] | None = None,
+    *,
+    usemask: Literal[False],
+    asrecarray: Literal[False] = False,
+) -> np.ndarray[tuple[int], np.dtype[np.void]]: ...
+@overload
+def join_by(
+    key: str | Sequence[str],
+    r1: npt.NDArray[np.void],
+    r2: npt.NDArray[np.void],
+    jointype: _JoinType = "inner",
+    r1postfix: str = "1",
+    r2postfix: str = "2",
+    defaults: Mapping[str, object] | None = None,
+    *,
+    usemask: Literal[False],
+    asrecarray: Literal[True],
+) -> np.recarray[tuple[int], np.dtype[np.void]]: ...
+@overload
+def join_by(
+    key: str | Sequence[str],
+    r1: npt.NDArray[np.void],
+    r2: npt.NDArray[np.void],
+    jointype: _JoinType = "inner",
+    r1postfix: str = "1",
+    r2postfix: str = "2",
+    defaults: Mapping[str, object] | None = None,
+    usemask: Literal[True] = True,
+    asrecarray: Literal[False] = False,
+) -> np.ma.MaskedArray[tuple[int], np.dtype[np.void]]: ...
+@overload
+def join_by(
+    key: str | Sequence[str],
+    r1: npt.NDArray[np.void],
+    r2: npt.NDArray[np.void],
+    jointype: _JoinType = "inner",
+    r1postfix: str = "1",
+    r2postfix: str = "2",
+    defaults: Mapping[str, object] | None = None,
+    usemask: Literal[True] = True,
+    *,
+    asrecarray: Literal[True],
+) -> MaskedRecords[tuple[int], np.dtype[np.void]]: ...
+
+#
+def rec_join(
+    key: str | Sequence[str],
+    r1: npt.NDArray[np.void],
+    r2: npt.NDArray[np.void],
+    jointype: _JoinType = "inner",
+    r1postfix: str = "1",
+    r2postfix: str = "2",
+    defaults: Mapping[str, object] | None = None,
+) -> np.recarray[tuple[int], np.dtype[np.void]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/scimath.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/scimath.py
new file mode 100644
index 0000000000000000000000000000000000000000..ffd05ef9f364fd64fa9d91d5e6f41a9d90744307
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/scimath.py
@@ -0,0 +1,4 @@
+from ._scimath_impl import (
+    __all__, __doc__, sqrt, log, log2, logn, log10, power, arccos, arcsin,
+    arctanh
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/scimath.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/scimath.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..cff5b9097faec0c831a99098f3275c591e2be10a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/scimath.pyi
@@ -0,0 +1,12 @@
+from ._scimath_impl import (
+    __all__ as __all__,
+    sqrt as sqrt,
+    log as log,
+    log2 as log2,
+    logn as logn,
+    log10 as log10,
+    power as power,
+    arccos as arccos,
+    arcsin as arcsin,
+    arctanh as arctanh,
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/stride_tricks.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/stride_tricks.py
new file mode 100644
index 0000000000000000000000000000000000000000..ba567be0c823408f316178f28ed80a970ee9f516
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/stride_tricks.py
@@ -0,0 +1,3 @@
+from ._stride_tricks_impl import (
+    __doc__, as_strided, sliding_window_view
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/stride_tricks.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/stride_tricks.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..eb46f28ae5f43e92c7c14df31edb154cf6d1f60b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/stride_tricks.pyi
@@ -0,0 +1,4 @@
+from numpy.lib._stride_tricks_impl import (
+    as_strided as as_strided,
+    sliding_window_view as sliding_window_view,
+)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-np0-objarr.npy b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-np0-objarr.npy
new file mode 100644
index 0000000000000000000000000000000000000000..14bdd93287e55e44dccd4d2fe3c0a427f2ce771c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-np0-objarr.npy
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64ba08ecade24295c392ea03175626c9ce896f0e099e06d0282f60adab9546c9
+size 258
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-objarr.npy b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-objarr.npy
new file mode 100644
index 0000000000000000000000000000000000000000..0d41ae5223b7235d16081318703875ef495bbfc7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-objarr.npy
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:178732502fbf4c1f504852c0a3673b738e2b0ba35460882b7c6c7d3ea58f48a9
+size 258
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-objarr.npz b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-objarr.npz
new file mode 100644
index 0000000000000000000000000000000000000000..85da7be0c3d77ff8d71ab7671e0d23188b7b36c4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py2-objarr.npz
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c68d771c14f415b159daabd9cf42d61836f74ae40049269787baca7d57098f1e
+size 366
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py3-objarr.npy b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py3-objarr.npy
new file mode 100644
index 0000000000000000000000000000000000000000..31847dc50272bcc123ec8bda0526c6e66d522923
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py3-objarr.npy
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee6b6290a9475e9e2e9d984cf1e068b7c0a49e5c750687c975def7369d8f5bca
+size 325
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py3-objarr.npz b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py3-objarr.npz
new file mode 100644
index 0000000000000000000000000000000000000000..0c4cf0e129c7293076e9e7ccbf0d189996d5a27f
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/py3-objarr.npz
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd5465f7f359effabe86376e52bf185a7cd1cbc1123659af30f95a4920baf5f9
+size 453
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/python3.npy b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/python3.npy
new file mode 100644
index 0000000000000000000000000000000000000000..1de3124ee4eaf42cfc3625cdfa88767de07df9c4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/python3.npy
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f469dde101a2c65e283d2ed487028f8180ebcb9457cf60c9d9b952314668fed
+size 96
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/win64python2.npy b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/win64python2.npy
new file mode 100644
index 0000000000000000000000000000000000000000..46edfc4d6869ed05b8438bc5bfa5d77d9ec3e9ba
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/data/win64python2.npy
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a039c807558149ad5fa7ad12436c69d49c5e194cf617b92785f8cb60ec63297
+size 96
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__datasource.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__datasource.py
new file mode 100644
index 0000000000000000000000000000000000000000..c8149abc30c40d6b9528fa9f3a98b0340d5914d3
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__datasource.py
@@ -0,0 +1,350 @@
+import os
+import pytest
+from tempfile import mkdtemp, mkstemp, NamedTemporaryFile
+from shutil import rmtree
+
+import numpy.lib._datasource as datasource
+from numpy.testing import assert_, assert_equal, assert_raises
+
+import urllib.request as urllib_request
+from urllib.parse import urlparse
+from urllib.error import URLError
+
+
+def urlopen_stub(url, data=None):
+    '''Stub to replace urlopen for testing.'''
+    if url == valid_httpurl():
+        tmpfile = NamedTemporaryFile(prefix='urltmp_')
+        return tmpfile
+    else:
+        raise URLError('Name or service not known')
+
+# setup and teardown
+old_urlopen = None
+
+
+def setup_module():
+    global old_urlopen
+
+    old_urlopen = urllib_request.urlopen
+    urllib_request.urlopen = urlopen_stub
+
+
+def teardown_module():
+    urllib_request.urlopen = old_urlopen
+
+# A valid website for more robust testing
+http_path = 'http://www.google.com/'
+http_file = 'index.html'
+
+http_fakepath = 'http://fake.abc.web/site/'
+http_fakefile = 'fake.txt'
+
+malicious_files = ['/etc/shadow', '../../shadow',
+                   '..\\system.dat', 'c:\\windows\\system.dat']
+
+magic_line = b'three is the magic number'
+
+
+# Utility functions used by many tests
+def valid_textfile(filedir):
+    # Generate and return a valid temporary file.
+    fd, path = mkstemp(suffix='.txt', prefix='dstmp_', dir=filedir, text=True)
+    os.close(fd)
+    return path
+
+
+def invalid_textfile(filedir):
+    # Generate and return an invalid filename.
+    fd, path = mkstemp(suffix='.txt', prefix='dstmp_', dir=filedir)
+    os.close(fd)
+    os.remove(path)
+    return path
+
+
+def valid_httpurl():
+    return http_path+http_file
+
+
+def invalid_httpurl():
+    return http_fakepath+http_fakefile
+
+
+def valid_baseurl():
+    return http_path
+
+
+def invalid_baseurl():
+    return http_fakepath
+
+
+def valid_httpfile():
+    return http_file
+
+
+def invalid_httpfile():
+    return http_fakefile
+
+
+class TestDataSourceOpen:
+    def setup_method(self):
+        self.tmpdir = mkdtemp()
+        self.ds = datasource.DataSource(self.tmpdir)
+
+    def teardown_method(self):
+        rmtree(self.tmpdir)
+        del self.ds
+
+    def test_ValidHTTP(self):
+        fh = self.ds.open(valid_httpurl())
+        assert_(fh)
+        fh.close()
+
+    def test_InvalidHTTP(self):
+        url = invalid_httpurl()
+        assert_raises(OSError, self.ds.open, url)
+        try:
+            self.ds.open(url)
+        except OSError as e:
+            # Regression test for bug fixed in r4342.
+            assert_(e.errno is None)
+
+    def test_InvalidHTTPCacheURLError(self):
+        assert_raises(URLError, self.ds._cache, invalid_httpurl())
+
+    def test_ValidFile(self):
+        local_file = valid_textfile(self.tmpdir)
+        fh = self.ds.open(local_file)
+        assert_(fh)
+        fh.close()
+
+    def test_InvalidFile(self):
+        invalid_file = invalid_textfile(self.tmpdir)
+        assert_raises(OSError, self.ds.open, invalid_file)
+
+    def test_ValidGzipFile(self):
+        try:
+            import gzip
+        except ImportError:
+            # We don't have the gzip capabilities to test.
+            pytest.skip()
+        # Test datasource's internal file_opener for Gzip files.
+        filepath = os.path.join(self.tmpdir, 'foobar.txt.gz')
+        fp = gzip.open(filepath, 'w')
+        fp.write(magic_line)
+        fp.close()
+        fp = self.ds.open(filepath)
+        result = fp.readline()
+        fp.close()
+        assert_equal(magic_line, result)
+
+    def test_ValidBz2File(self):
+        try:
+            import bz2
+        except ImportError:
+            # We don't have the bz2 capabilities to test.
+            pytest.skip()
+        # Test datasource's internal file_opener for BZip2 files.
+        filepath = os.path.join(self.tmpdir, 'foobar.txt.bz2')
+        fp = bz2.BZ2File(filepath, 'w')
+        fp.write(magic_line)
+        fp.close()
+        fp = self.ds.open(filepath)
+        result = fp.readline()
+        fp.close()
+        assert_equal(magic_line, result)
+
+
+class TestDataSourceExists:
+    def setup_method(self):
+        self.tmpdir = mkdtemp()
+        self.ds = datasource.DataSource(self.tmpdir)
+
+    def teardown_method(self):
+        rmtree(self.tmpdir)
+        del self.ds
+
+    def test_ValidHTTP(self):
+        assert_(self.ds.exists(valid_httpurl()))
+
+    def test_InvalidHTTP(self):
+        assert_equal(self.ds.exists(invalid_httpurl()), False)
+
+    def test_ValidFile(self):
+        # Test valid file in destpath
+        tmpfile = valid_textfile(self.tmpdir)
+        assert_(self.ds.exists(tmpfile))
+        # Test valid local file not in destpath
+        localdir = mkdtemp()
+        tmpfile = valid_textfile(localdir)
+        assert_(self.ds.exists(tmpfile))
+        rmtree(localdir)
+
+    def test_InvalidFile(self):
+        tmpfile = invalid_textfile(self.tmpdir)
+        assert_equal(self.ds.exists(tmpfile), False)
+
+
+class TestDataSourceAbspath:
+    def setup_method(self):
+        self.tmpdir = os.path.abspath(mkdtemp())
+        self.ds = datasource.DataSource(self.tmpdir)
+
+    def teardown_method(self):
+        rmtree(self.tmpdir)
+        del self.ds
+
+    def test_ValidHTTP(self):
+        scheme, netloc, upath, pms, qry, frg = urlparse(valid_httpurl())
+        local_path = os.path.join(self.tmpdir, netloc,
+                                  upath.strip(os.sep).strip('/'))
+        assert_equal(local_path, self.ds.abspath(valid_httpurl()))
+
+    def test_ValidFile(self):
+        tmpfile = valid_textfile(self.tmpdir)
+        tmpfilename = os.path.split(tmpfile)[-1]
+        # Test with filename only
+        assert_equal(tmpfile, self.ds.abspath(tmpfilename))
+        # Test filename with complete path
+        assert_equal(tmpfile, self.ds.abspath(tmpfile))
+
+    def test_InvalidHTTP(self):
+        scheme, netloc, upath, pms, qry, frg = urlparse(invalid_httpurl())
+        invalidhttp = os.path.join(self.tmpdir, netloc,
+                                   upath.strip(os.sep).strip('/'))
+        assert_(invalidhttp != self.ds.abspath(valid_httpurl()))
+
+    def test_InvalidFile(self):
+        invalidfile = valid_textfile(self.tmpdir)
+        tmpfile = valid_textfile(self.tmpdir)
+        tmpfilename = os.path.split(tmpfile)[-1]
+        # Test with filename only
+        assert_(invalidfile != self.ds.abspath(tmpfilename))
+        # Test filename with complete path
+        assert_(invalidfile != self.ds.abspath(tmpfile))
+
+    def test_sandboxing(self):
+        tmpfile = valid_textfile(self.tmpdir)
+        tmpfilename = os.path.split(tmpfile)[-1]
+
+        tmp_path = lambda x: os.path.abspath(self.ds.abspath(x))
+
+        assert_(tmp_path(valid_httpurl()).startswith(self.tmpdir))
+        assert_(tmp_path(invalid_httpurl()).startswith(self.tmpdir))
+        assert_(tmp_path(tmpfile).startswith(self.tmpdir))
+        assert_(tmp_path(tmpfilename).startswith(self.tmpdir))
+        for fn in malicious_files:
+            assert_(tmp_path(http_path+fn).startswith(self.tmpdir))
+            assert_(tmp_path(fn).startswith(self.tmpdir))
+
+    def test_windows_os_sep(self):
+        orig_os_sep = os.sep
+        try:
+            os.sep = '\\'
+            self.test_ValidHTTP()
+            self.test_ValidFile()
+            self.test_InvalidHTTP()
+            self.test_InvalidFile()
+            self.test_sandboxing()
+        finally:
+            os.sep = orig_os_sep
+
+
+class TestRepositoryAbspath:
+    def setup_method(self):
+        self.tmpdir = os.path.abspath(mkdtemp())
+        self.repos = datasource.Repository(valid_baseurl(), self.tmpdir)
+
+    def teardown_method(self):
+        rmtree(self.tmpdir)
+        del self.repos
+
+    def test_ValidHTTP(self):
+        scheme, netloc, upath, pms, qry, frg = urlparse(valid_httpurl())
+        local_path = os.path.join(self.repos._destpath, netloc,
+                                  upath.strip(os.sep).strip('/'))
+        filepath = self.repos.abspath(valid_httpfile())
+        assert_equal(local_path, filepath)
+
+    def test_sandboxing(self):
+        tmp_path = lambda x: os.path.abspath(self.repos.abspath(x))
+        assert_(tmp_path(valid_httpfile()).startswith(self.tmpdir))
+        for fn in malicious_files:
+            assert_(tmp_path(http_path+fn).startswith(self.tmpdir))
+            assert_(tmp_path(fn).startswith(self.tmpdir))
+
+    def test_windows_os_sep(self):
+        orig_os_sep = os.sep
+        try:
+            os.sep = '\\'
+            self.test_ValidHTTP()
+            self.test_sandboxing()
+        finally:
+            os.sep = orig_os_sep
+
+
+class TestRepositoryExists:
+    def setup_method(self):
+        self.tmpdir = mkdtemp()
+        self.repos = datasource.Repository(valid_baseurl(), self.tmpdir)
+
+    def teardown_method(self):
+        rmtree(self.tmpdir)
+        del self.repos
+
+    def test_ValidFile(self):
+        # Create local temp file
+        tmpfile = valid_textfile(self.tmpdir)
+        assert_(self.repos.exists(tmpfile))
+
+    def test_InvalidFile(self):
+        tmpfile = invalid_textfile(self.tmpdir)
+        assert_equal(self.repos.exists(tmpfile), False)
+
+    def test_RemoveHTTPFile(self):
+        assert_(self.repos.exists(valid_httpurl()))
+
+    def test_CachedHTTPFile(self):
+        localfile = valid_httpurl()
+        # Create a locally cached temp file with an URL based
+        # directory structure.  This is similar to what Repository.open
+        # would do.
+        scheme, netloc, upath, pms, qry, frg = urlparse(localfile)
+        local_path = os.path.join(self.repos._destpath, netloc)
+        os.mkdir(local_path, 0o0700)
+        tmpfile = valid_textfile(local_path)
+        assert_(self.repos.exists(tmpfile))
+
+
+class TestOpenFunc:
+    def setup_method(self):
+        self.tmpdir = mkdtemp()
+
+    def teardown_method(self):
+        rmtree(self.tmpdir)
+
+    def test_DataSourceOpen(self):
+        local_file = valid_textfile(self.tmpdir)
+        # Test case where destpath is passed in
+        fp = datasource.open(local_file, destpath=self.tmpdir)
+        assert_(fp)
+        fp.close()
+        # Test case where default destpath is used
+        fp = datasource.open(local_file)
+        assert_(fp)
+        fp.close()
+
+def test_del_attr_handling():
+    # DataSource __del__ can be called
+    # even if __init__ fails when the
+    # Exception object is caught by the
+    # caller as happens in refguide_check
+    # is_deprecated() function
+
+    ds = datasource.DataSource()
+    # simulate failed __init__ by removing key attribute
+    # produced within __init__ and expected by __del__
+    del ds._istmpdest
+    # should not raise an AttributeError if __del__
+    # gracefully handles failed __init__:
+    ds.__del__()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__iotools.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__iotools.py
new file mode 100644
index 0000000000000000000000000000000000000000..396d4147c6c55bf169cd66e3cb5472e59d5abdb9
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__iotools.py
@@ -0,0 +1,353 @@
+import time
+from datetime import date
+
+import numpy as np
+from numpy.testing import (
+    assert_, assert_equal, assert_allclose, assert_raises,
+    )
+from numpy.lib._iotools import (
+    LineSplitter, NameValidator, StringConverter,
+    has_nested_fields, easy_dtype, flatten_dtype
+    )
+
+
+class TestLineSplitter:
+    "Tests the LineSplitter class."
+
+    def test_no_delimiter(self):
+        "Test LineSplitter w/o delimiter"
+        strg = " 1 2 3 4  5 # test"
+        test = LineSplitter()(strg)
+        assert_equal(test, ['1', '2', '3', '4', '5'])
+        test = LineSplitter('')(strg)
+        assert_equal(test, ['1', '2', '3', '4', '5'])
+
+    def test_space_delimiter(self):
+        "Test space delimiter"
+        strg = " 1 2 3 4  5 # test"
+        test = LineSplitter(' ')(strg)
+        assert_equal(test, ['1', '2', '3', '4', '', '5'])
+        test = LineSplitter('  ')(strg)
+        assert_equal(test, ['1 2 3 4', '5'])
+
+    def test_tab_delimiter(self):
+        "Test tab delimiter"
+        strg = " 1\t 2\t 3\t 4\t 5  6"
+        test = LineSplitter('\t')(strg)
+        assert_equal(test, ['1', '2', '3', '4', '5  6'])
+        strg = " 1  2\t 3  4\t 5  6"
+        test = LineSplitter('\t')(strg)
+        assert_equal(test, ['1  2', '3  4', '5  6'])
+
+    def test_other_delimiter(self):
+        "Test LineSplitter on delimiter"
+        strg = "1,2,3,4,,5"
+        test = LineSplitter(',')(strg)
+        assert_equal(test, ['1', '2', '3', '4', '', '5'])
+        #
+        strg = " 1,2,3,4,,5 # test"
+        test = LineSplitter(',')(strg)
+        assert_equal(test, ['1', '2', '3', '4', '', '5'])
+
+        # gh-11028 bytes comment/delimiters should get encoded
+        strg = b" 1,2,3,4,,5 % test"
+        test = LineSplitter(delimiter=b',', comments=b'%')(strg)
+        assert_equal(test, ['1', '2', '3', '4', '', '5'])
+
+    def test_constant_fixed_width(self):
+        "Test LineSplitter w/ fixed-width fields"
+        strg = "  1  2  3  4     5   # test"
+        test = LineSplitter(3)(strg)
+        assert_equal(test, ['1', '2', '3', '4', '', '5', ''])
+        #
+        strg = "  1     3  4  5  6# test"
+        test = LineSplitter(20)(strg)
+        assert_equal(test, ['1     3  4  5  6'])
+        #
+        strg = "  1     3  4  5  6# test"
+        test = LineSplitter(30)(strg)
+        assert_equal(test, ['1     3  4  5  6'])
+
+    def test_variable_fixed_width(self):
+        strg = "  1     3  4  5  6# test"
+        test = LineSplitter((3, 6, 6, 3))(strg)
+        assert_equal(test, ['1', '3', '4  5', '6'])
+        #
+        strg = "  1     3  4  5  6# test"
+        test = LineSplitter((6, 6, 9))(strg)
+        assert_equal(test, ['1', '3  4', '5  6'])
+
+# -----------------------------------------------------------------------------
+
+
+class TestNameValidator:
+
+    def test_case_sensitivity(self):
+        "Test case sensitivity"
+        names = ['A', 'a', 'b', 'c']
+        test = NameValidator().validate(names)
+        assert_equal(test, ['A', 'a', 'b', 'c'])
+        test = NameValidator(case_sensitive=False).validate(names)
+        assert_equal(test, ['A', 'A_1', 'B', 'C'])
+        test = NameValidator(case_sensitive='upper').validate(names)
+        assert_equal(test, ['A', 'A_1', 'B', 'C'])
+        test = NameValidator(case_sensitive='lower').validate(names)
+        assert_equal(test, ['a', 'a_1', 'b', 'c'])
+
+        # check exceptions
+        assert_raises(ValueError, NameValidator, case_sensitive='foobar')
+
+    def test_excludelist(self):
+        "Test excludelist"
+        names = ['dates', 'data', 'Other Data', 'mask']
+        validator = NameValidator(excludelist=['dates', 'data', 'mask'])
+        test = validator.validate(names)
+        assert_equal(test, ['dates_', 'data_', 'Other_Data', 'mask_'])
+
+    def test_missing_names(self):
+        "Test validate missing names"
+        namelist = ('a', 'b', 'c')
+        validator = NameValidator()
+        assert_equal(validator(namelist), ['a', 'b', 'c'])
+        namelist = ('', 'b', 'c')
+        assert_equal(validator(namelist), ['f0', 'b', 'c'])
+        namelist = ('a', 'b', '')
+        assert_equal(validator(namelist), ['a', 'b', 'f0'])
+        namelist = ('', 'f0', '')
+        assert_equal(validator(namelist), ['f1', 'f0', 'f2'])
+
+    def test_validate_nb_names(self):
+        "Test validate nb names"
+        namelist = ('a', 'b', 'c')
+        validator = NameValidator()
+        assert_equal(validator(namelist, nbfields=1), ('a',))
+        assert_equal(validator(namelist, nbfields=5, defaultfmt="g%i"),
+                     ['a', 'b', 'c', 'g0', 'g1'])
+
+    def test_validate_wo_names(self):
+        "Test validate no names"
+        namelist = None
+        validator = NameValidator()
+        assert_(validator(namelist) is None)
+        assert_equal(validator(namelist, nbfields=3), ['f0', 'f1', 'f2'])
+
+# -----------------------------------------------------------------------------
+
+
+def _bytes_to_date(s):
+    return date(*time.strptime(s, "%Y-%m-%d")[:3])
+
+
+class TestStringConverter:
+    "Test StringConverter"
+
+    def test_creation(self):
+        "Test creation of a StringConverter"
+        converter = StringConverter(int, -99999)
+        assert_equal(converter._status, 1)
+        assert_equal(converter.default, -99999)
+
+    def test_upgrade(self):
+        "Tests the upgrade method."
+
+        converter = StringConverter()
+        assert_equal(converter._status, 0)
+
+        # test int
+        assert_equal(converter.upgrade('0'), 0)
+        assert_equal(converter._status, 1)
+
+        # On systems where long defaults to 32-bit, the statuses will be
+        # offset by one, so we check for this here.
+        import numpy._core.numeric as nx
+        status_offset = int(nx.dtype(nx.int_).itemsize < nx.dtype(nx.int64).itemsize)
+
+        # test int > 2**32
+        assert_equal(converter.upgrade('17179869184'), 17179869184)
+        assert_equal(converter._status, 1 + status_offset)
+
+        # test float
+        assert_allclose(converter.upgrade('0.'), 0.0)
+        assert_equal(converter._status, 2 + status_offset)
+
+        # test complex
+        assert_equal(converter.upgrade('0j'), complex('0j'))
+        assert_equal(converter._status, 3 + status_offset)
+
+        # test str
+        # note that the longdouble type has been skipped, so the
+        # _status increases by 2. Everything should succeed with
+        # unicode conversion (8).
+        for s in ['a', b'a']:
+            res = converter.upgrade(s)
+            assert_(type(res) is str)
+            assert_equal(res, 'a')
+            assert_equal(converter._status, 8 + status_offset)
+
+    def test_missing(self):
+        "Tests the use of missing values."
+        converter = StringConverter(missing_values=('missing',
+                                                    'missed'))
+        converter.upgrade('0')
+        assert_equal(converter('0'), 0)
+        assert_equal(converter(''), converter.default)
+        assert_equal(converter('missing'), converter.default)
+        assert_equal(converter('missed'), converter.default)
+        try:
+            converter('miss')
+        except ValueError:
+            pass
+
+    def test_upgrademapper(self):
+        "Tests updatemapper"
+        dateparser = _bytes_to_date
+        _original_mapper = StringConverter._mapper[:]
+        try:
+            StringConverter.upgrade_mapper(dateparser, date(2000, 1, 1))
+            convert = StringConverter(dateparser, date(2000, 1, 1))
+            test = convert('2001-01-01')
+            assert_equal(test, date(2001, 1, 1))
+            test = convert('2009-01-01')
+            assert_equal(test, date(2009, 1, 1))
+            test = convert('')
+            assert_equal(test, date(2000, 1, 1))
+        finally:
+            StringConverter._mapper = _original_mapper
+
+    def test_string_to_object(self):
+        "Make sure that string-to-object functions are properly recognized"
+        old_mapper = StringConverter._mapper[:]  # copy of list
+        conv = StringConverter(_bytes_to_date)
+        assert_equal(conv._mapper, old_mapper)
+        assert_(hasattr(conv, 'default'))
+
+    def test_keep_default(self):
+        "Make sure we don't lose an explicit default"
+        converter = StringConverter(None, missing_values='',
+                                    default=-999)
+        converter.upgrade('3.14159265')
+        assert_equal(converter.default, -999)
+        assert_equal(converter.type, np.dtype(float))
+        #
+        converter = StringConverter(
+            None, missing_values='', default=0)
+        converter.upgrade('3.14159265')
+        assert_equal(converter.default, 0)
+        assert_equal(converter.type, np.dtype(float))
+
+    def test_keep_default_zero(self):
+        "Check that we don't lose a default of 0"
+        converter = StringConverter(int, default=0,
+                                    missing_values="N/A")
+        assert_equal(converter.default, 0)
+
+    def test_keep_missing_values(self):
+        "Check that we're not losing missing values"
+        converter = StringConverter(int, default=0,
+                                    missing_values="N/A")
+        assert_equal(
+            converter.missing_values, {'', 'N/A'})
+
+    def test_int64_dtype(self):
+        "Check that int64 integer types can be specified"
+        converter = StringConverter(np.int64, default=0)
+        val = "-9223372036854775807"
+        assert_(converter(val) == -9223372036854775807)
+        val = "9223372036854775807"
+        assert_(converter(val) == 9223372036854775807)
+
+    def test_uint64_dtype(self):
+        "Check that uint64 integer types can be specified"
+        converter = StringConverter(np.uint64, default=0)
+        val = "9223372043271415339"
+        assert_(converter(val) == 9223372043271415339)
+
+
+class TestMiscFunctions:
+
+    def test_has_nested_dtype(self):
+        "Test has_nested_dtype"
+        ndtype = np.dtype(float)
+        assert_equal(has_nested_fields(ndtype), False)
+        ndtype = np.dtype([('A', '|S3'), ('B', float)])
+        assert_equal(has_nested_fields(ndtype), False)
+        ndtype = np.dtype([('A', int), ('B', [('BA', float), ('BB', '|S1')])])
+        assert_equal(has_nested_fields(ndtype), True)
+
+    def test_easy_dtype(self):
+        "Test ndtype on dtypes"
+        # Simple case
+        ndtype = float
+        assert_equal(easy_dtype(ndtype), np.dtype(float))
+        # As string w/o names
+        ndtype = "i4, f8"
+        assert_equal(easy_dtype(ndtype),
+                     np.dtype([('f0', "i4"), ('f1', "f8")]))
+        # As string w/o names but different default format
+        assert_equal(easy_dtype(ndtype, defaultfmt="field_%03i"),
+                     np.dtype([('field_000', "i4"), ('field_001', "f8")]))
+        # As string w/ names
+        ndtype = "i4, f8"
+        assert_equal(easy_dtype(ndtype, names="a, b"),
+                     np.dtype([('a', "i4"), ('b', "f8")]))
+        # As string w/ names (too many)
+        ndtype = "i4, f8"
+        assert_equal(easy_dtype(ndtype, names="a, b, c"),
+                     np.dtype([('a', "i4"), ('b', "f8")]))
+        # As string w/ names (not enough)
+        ndtype = "i4, f8"
+        assert_equal(easy_dtype(ndtype, names=", b"),
+                     np.dtype([('f0', "i4"), ('b', "f8")]))
+        # ... (with different default format)
+        assert_equal(easy_dtype(ndtype, names="a", defaultfmt="f%02i"),
+                     np.dtype([('a', "i4"), ('f00', "f8")]))
+        # As list of tuples w/o names
+        ndtype = [('A', int), ('B', float)]
+        assert_equal(easy_dtype(ndtype), np.dtype([('A', int), ('B', float)]))
+        # As list of tuples w/ names
+        assert_equal(easy_dtype(ndtype, names="a,b"),
+                     np.dtype([('a', int), ('b', float)]))
+        # As list of tuples w/ not enough names
+        assert_equal(easy_dtype(ndtype, names="a"),
+                     np.dtype([('a', int), ('f0', float)]))
+        # As list of tuples w/ too many names
+        assert_equal(easy_dtype(ndtype, names="a,b,c"),
+                     np.dtype([('a', int), ('b', float)]))
+        # As list of types w/o names
+        ndtype = (int, float, float)
+        assert_equal(easy_dtype(ndtype),
+                     np.dtype([('f0', int), ('f1', float), ('f2', float)]))
+        # As list of types w names
+        ndtype = (int, float, float)
+        assert_equal(easy_dtype(ndtype, names="a, b, c"),
+                     np.dtype([('a', int), ('b', float), ('c', float)]))
+        # As simple dtype w/ names
+        ndtype = np.dtype(float)
+        assert_equal(easy_dtype(ndtype, names="a, b, c"),
+                     np.dtype([(_, float) for _ in ('a', 'b', 'c')]))
+        # As simple dtype w/o names (but multiple fields)
+        ndtype = np.dtype(float)
+        assert_equal(
+            easy_dtype(ndtype, names=['', '', ''], defaultfmt="f%02i"),
+            np.dtype([(_, float) for _ in ('f00', 'f01', 'f02')]))
+
+    def test_flatten_dtype(self):
+        "Testing flatten_dtype"
+        # Standard dtype
+        dt = np.dtype([("a", "f8"), ("b", "f8")])
+        dt_flat = flatten_dtype(dt)
+        assert_equal(dt_flat, [float, float])
+        # Recursive dtype
+        dt = np.dtype([("a", [("aa", '|S1'), ("ab", '|S2')]), ("b", int)])
+        dt_flat = flatten_dtype(dt)
+        assert_equal(dt_flat, [np.dtype('|S1'), np.dtype('|S2'), int])
+        # dtype with shaped fields
+        dt = np.dtype([("a", (float, 2)), ("b", (int, 3))])
+        dt_flat = flatten_dtype(dt)
+        assert_equal(dt_flat, [float, int])
+        dt_flat = flatten_dtype(dt, True)
+        assert_equal(dt_flat, [float] * 2 + [int] * 3)
+        # dtype w/ titles
+        dt = np.dtype([(("a", "A"), "f8"), (("b", "B"), "f8")])
+        dt_flat = flatten_dtype(dt)
+        assert_equal(dt_flat, [float, float])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__version.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__version.py
new file mode 100644
index 0000000000000000000000000000000000000000..e6d41ad939323792d31faa7ae517e6835ea851d1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test__version.py
@@ -0,0 +1,64 @@
+"""Tests for the NumpyVersion class.
+
+"""
+from numpy.testing import assert_, assert_raises
+from numpy.lib import NumpyVersion
+
+
+def test_main_versions():
+    assert_(NumpyVersion('1.8.0') == '1.8.0')
+    for ver in ['1.9.0', '2.0.0', '1.8.1', '10.0.1']:
+        assert_(NumpyVersion('1.8.0') < ver)
+
+    for ver in ['1.7.0', '1.7.1', '0.9.9']:
+        assert_(NumpyVersion('1.8.0') > ver)
+
+
+def test_version_1_point_10():
+    # regression test for gh-2998.
+    assert_(NumpyVersion('1.9.0') < '1.10.0')
+    assert_(NumpyVersion('1.11.0') < '1.11.1')
+    assert_(NumpyVersion('1.11.0') == '1.11.0')
+    assert_(NumpyVersion('1.99.11') < '1.99.12')
+
+
+def test_alpha_beta_rc():
+    assert_(NumpyVersion('1.8.0rc1') == '1.8.0rc1')
+    for ver in ['1.8.0', '1.8.0rc2']:
+        assert_(NumpyVersion('1.8.0rc1') < ver)
+
+    for ver in ['1.8.0a2', '1.8.0b3', '1.7.2rc4']:
+        assert_(NumpyVersion('1.8.0rc1') > ver)
+
+    assert_(NumpyVersion('1.8.0b1') > '1.8.0a2')
+
+
+def test_dev_version():
+    assert_(NumpyVersion('1.9.0.dev-Unknown') < '1.9.0')
+    for ver in ['1.9.0', '1.9.0a1', '1.9.0b2', '1.9.0b2.dev-ffffffff']:
+        assert_(NumpyVersion('1.9.0.dev-f16acvda') < ver)
+
+    assert_(NumpyVersion('1.9.0.dev-f16acvda') == '1.9.0.dev-11111111')
+
+
+def test_dev_a_b_rc_mixed():
+    assert_(NumpyVersion('1.9.0a2.dev-f16acvda') == '1.9.0a2.dev-11111111')
+    assert_(NumpyVersion('1.9.0a2.dev-6acvda54') < '1.9.0a2')
+
+
+def test_dev0_version():
+    assert_(NumpyVersion('1.9.0.dev0+Unknown') < '1.9.0')
+    for ver in ['1.9.0', '1.9.0a1', '1.9.0b2', '1.9.0b2.dev0+ffffffff']:
+        assert_(NumpyVersion('1.9.0.dev0+f16acvda') < ver)
+
+    assert_(NumpyVersion('1.9.0.dev0+f16acvda') == '1.9.0.dev0+11111111')
+
+
+def test_dev0_a_b_rc_mixed():
+    assert_(NumpyVersion('1.9.0a2.dev0+f16acvda') == '1.9.0a2.dev0+11111111')
+    assert_(NumpyVersion('1.9.0a2.dev0+6acvda54') < '1.9.0a2')
+
+
+def test_raises():
+    for ver in ['1.9', '1,9.0', '1.7.x']:
+        assert_raises(ValueError, NumpyVersion, ver)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_array_utils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_array_utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..3d8b2bd4616e0a6d4956bb6c2b2396a33ee8836a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_array_utils.py
@@ -0,0 +1,33 @@
+import numpy as np
+
+from numpy.lib import array_utils
+from numpy.testing import assert_equal
+
+
+class TestByteBounds:
+    def test_byte_bounds(self):
+        # pointer difference matches size * itemsize
+        # due to contiguity
+        a = np.arange(12).reshape(3, 4)
+        low, high = array_utils.byte_bounds(a)
+        assert_equal(high - low, a.size * a.itemsize)
+
+    def test_unusual_order_positive_stride(self):
+        a = np.arange(12).reshape(3, 4)
+        b = a.T
+        low, high = array_utils.byte_bounds(b)
+        assert_equal(high - low, b.size * b.itemsize)
+
+    def test_unusual_order_negative_stride(self):
+        a = np.arange(12).reshape(3, 4)
+        b = a.T[::-1]
+        low, high = array_utils.byte_bounds(b)
+        assert_equal(high - low, b.size * b.itemsize)
+
+    def test_strided(self):
+        a = np.arange(12)
+        b = a[::2]
+        low, high = array_utils.byte_bounds(b)
+        # the largest pointer address is lost (even numbers only in the
+        # stride), and compensate addresses for striding by 2
+        assert_equal(high - low, b.size * 2 * b.itemsize - b.itemsize)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arraypad.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arraypad.py
new file mode 100644
index 0000000000000000000000000000000000000000..6c1247db8e0c8765a4ddeeee292ec326daeedda2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arraypad.py
@@ -0,0 +1,1416 @@
+"""Tests for the array padding functions.
+
+"""
+import pytest
+
+import numpy as np
+from numpy.testing import assert_array_equal, assert_allclose, assert_equal
+from numpy.lib._arraypad_impl import _as_pairs
+
+
+_numeric_dtypes = (
+    np._core.sctypes["uint"]
+    + np._core.sctypes["int"]
+    + np._core.sctypes["float"]
+    + np._core.sctypes["complex"]
+)
+_all_modes = {
+    'constant': {'constant_values': 0},
+    'edge': {},
+    'linear_ramp': {'end_values': 0},
+    'maximum': {'stat_length': None},
+    'mean': {'stat_length': None},
+    'median': {'stat_length': None},
+    'minimum': {'stat_length': None},
+    'reflect': {'reflect_type': 'even'},
+    'symmetric': {'reflect_type': 'even'},
+    'wrap': {},
+    'empty': {}
+}
+
+
+class TestAsPairs:
+    def test_single_value(self):
+        """Test casting for a single value."""
+        expected = np.array([[3, 3]] * 10)
+        for x in (3, [3], [[3]]):
+            result = _as_pairs(x, 10)
+            assert_equal(result, expected)
+        # Test with dtype=object
+        obj = object()
+        assert_equal(
+            _as_pairs(obj, 10),
+            np.array([[obj, obj]] * 10)
+        )
+
+    def test_two_values(self):
+        """Test proper casting for two different values."""
+        # Broadcasting in the first dimension with numbers
+        expected = np.array([[3, 4]] * 10)
+        for x in ([3, 4], [[3, 4]]):
+            result = _as_pairs(x, 10)
+            assert_equal(result, expected)
+        # and with dtype=object
+        obj = object()
+        assert_equal(
+            _as_pairs(["a", obj], 10),
+            np.array([["a", obj]] * 10)
+        )
+
+        # Broadcasting in the second / last dimension with numbers
+        assert_equal(
+            _as_pairs([[3], [4]], 2),
+            np.array([[3, 3], [4, 4]])
+        )
+        # and with dtype=object
+        assert_equal(
+            _as_pairs([["a"], [obj]], 2),
+            np.array([["a", "a"], [obj, obj]])
+        )
+
+    def test_with_none(self):
+        expected = ((None, None), (None, None), (None, None))
+        assert_equal(
+            _as_pairs(None, 3, as_index=False),
+            expected
+        )
+        assert_equal(
+            _as_pairs(None, 3, as_index=True),
+            expected
+        )
+
+    def test_pass_through(self):
+        """Test if `x` already matching desired output are passed through."""
+        expected = np.arange(12).reshape((6, 2))
+        assert_equal(
+            _as_pairs(expected, 6),
+            expected
+        )
+
+    def test_as_index(self):
+        """Test results if `as_index=True`."""
+        assert_equal(
+            _as_pairs([2.6, 3.3], 10, as_index=True),
+            np.array([[3, 3]] * 10, dtype=np.intp)
+        )
+        assert_equal(
+            _as_pairs([2.6, 4.49], 10, as_index=True),
+            np.array([[3, 4]] * 10, dtype=np.intp)
+        )
+        for x in (-3, [-3], [[-3]], [-3, 4], [3, -4], [[-3, 4]], [[4, -3]],
+                  [[1, 2]] * 9 + [[1, -2]]):
+            with pytest.raises(ValueError, match="negative values"):
+                _as_pairs(x, 10, as_index=True)
+
+    def test_exceptions(self):
+        """Ensure faulty usage is discovered."""
+        with pytest.raises(ValueError, match="more dimensions than allowed"):
+            _as_pairs([[[3]]], 10)
+        with pytest.raises(ValueError, match="could not be broadcast"):
+            _as_pairs([[1, 2], [3, 4]], 3)
+        with pytest.raises(ValueError, match="could not be broadcast"):
+            _as_pairs(np.ones((2, 3)), 3)
+
+
+class TestConditionalShortcuts:
+    @pytest.mark.parametrize("mode", _all_modes.keys())
+    def test_zero_padding_shortcuts(self, mode):
+        test = np.arange(120).reshape(4, 5, 6)
+        pad_amt = [(0, 0) for _ in test.shape]
+        assert_array_equal(test, np.pad(test, pad_amt, mode=mode))
+
+    @pytest.mark.parametrize("mode", ['maximum', 'mean', 'median', 'minimum',])
+    def test_shallow_statistic_range(self, mode):
+        test = np.arange(120).reshape(4, 5, 6)
+        pad_amt = [(1, 1) for _ in test.shape]
+        assert_array_equal(np.pad(test, pad_amt, mode='edge'),
+                           np.pad(test, pad_amt, mode=mode, stat_length=1))
+
+    @pytest.mark.parametrize("mode", ['maximum', 'mean', 'median', 'minimum',])
+    def test_clip_statistic_range(self, mode):
+        test = np.arange(30).reshape(5, 6)
+        pad_amt = [(3, 3) for _ in test.shape]
+        assert_array_equal(np.pad(test, pad_amt, mode=mode),
+                           np.pad(test, pad_amt, mode=mode, stat_length=30))
+
+
+class TestStatistic:
+    def test_check_mean_stat_length(self):
+        a = np.arange(100).astype('f')
+        a = np.pad(a, ((25, 20), ), 'mean', stat_length=((2, 3), ))
+        b = np.array(
+            [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5,
+             0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5,
+             0.5, 0.5, 0.5, 0.5, 0.5,
+
+             0., 1., 2., 3., 4., 5., 6., 7., 8., 9.,
+             10., 11., 12., 13., 14., 15., 16., 17., 18., 19.,
+             20., 21., 22., 23., 24., 25., 26., 27., 28., 29.,
+             30., 31., 32., 33., 34., 35., 36., 37., 38., 39.,
+             40., 41., 42., 43., 44., 45., 46., 47., 48., 49.,
+             50., 51., 52., 53., 54., 55., 56., 57., 58., 59.,
+             60., 61., 62., 63., 64., 65., 66., 67., 68., 69.,
+             70., 71., 72., 73., 74., 75., 76., 77., 78., 79.,
+             80., 81., 82., 83., 84., 85., 86., 87., 88., 89.,
+             90., 91., 92., 93., 94., 95., 96., 97., 98., 99.,
+
+             98., 98., 98., 98., 98., 98., 98., 98., 98., 98.,
+             98., 98., 98., 98., 98., 98., 98., 98., 98., 98.
+             ])
+        assert_array_equal(a, b)
+
+    def test_check_maximum_1(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'maximum')
+        b = np.array(
+            [99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
+             99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
+             99, 99, 99, 99, 99,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
+             99, 99, 99, 99, 99, 99, 99, 99, 99, 99]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_maximum_2(self):
+        a = np.arange(100) + 1
+        a = np.pad(a, (25, 20), 'maximum')
+        b = np.array(
+            [100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
+             100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
+             100, 100, 100, 100, 100,
+
+             1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
+             11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+             21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
+             31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
+             41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
+             51, 52, 53, 54, 55, 56, 57, 58, 59, 60,
+             61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
+             71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
+             81, 82, 83, 84, 85, 86, 87, 88, 89, 90,
+             91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
+
+             100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
+             100, 100, 100, 100, 100, 100, 100, 100, 100, 100]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_maximum_stat_length(self):
+        a = np.arange(100) + 1
+        a = np.pad(a, (25, 20), 'maximum', stat_length=10)
+        b = np.array(
+            [10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
+             10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
+             10, 10, 10, 10, 10,
+
+              1,  2,  3,  4,  5,  6,  7,  8,  9, 10,
+             11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+             21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
+             31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
+             41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
+             51, 52, 53, 54, 55, 56, 57, 58, 59, 60,
+             61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
+             71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
+             81, 82, 83, 84, 85, 86, 87, 88, 89, 90,
+             91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
+
+             100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
+             100, 100, 100, 100, 100, 100, 100, 100, 100, 100]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_minimum_1(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'minimum')
+        b = np.array(
+            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+             0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+             0, 0, 0, 0, 0,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+             0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_minimum_2(self):
+        a = np.arange(100) + 2
+        a = np.pad(a, (25, 20), 'minimum')
+        b = np.array(
+            [2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+             2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+             2, 2, 2, 2, 2,
+
+             2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
+             12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
+             22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+             32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
+             42, 43, 44, 45, 46, 47, 48, 49, 50, 51,
+             52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
+             62, 63, 64, 65, 66, 67, 68, 69, 70, 71,
+             72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
+             82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
+             92, 93, 94, 95, 96, 97, 98, 99, 100, 101,
+
+             2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+             2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_minimum_stat_length(self):
+        a = np.arange(100) + 1
+        a = np.pad(a, (25, 20), 'minimum', stat_length=10)
+        b = np.array(
+            [ 1,  1,  1,  1,  1,  1,  1,  1,  1,  1,
+              1,  1,  1,  1,  1,  1,  1,  1,  1,  1,
+              1,  1,  1,  1,  1,
+
+              1,  2,  3,  4,  5,  6,  7,  8,  9, 10,
+             11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+             21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
+             31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
+             41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
+             51, 52, 53, 54, 55, 56, 57, 58, 59, 60,
+             61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
+             71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
+             81, 82, 83, 84, 85, 86, 87, 88, 89, 90,
+             91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
+
+             91, 91, 91, 91, 91, 91, 91, 91, 91, 91,
+             91, 91, 91, 91, 91, 91, 91, 91, 91, 91]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_median(self):
+        a = np.arange(100).astype('f')
+        a = np.pad(a, (25, 20), 'median')
+        b = np.array(
+            [49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5,
+             49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5,
+             49.5, 49.5, 49.5, 49.5, 49.5,
+
+             0., 1., 2., 3., 4., 5., 6., 7., 8., 9.,
+             10., 11., 12., 13., 14., 15., 16., 17., 18., 19.,
+             20., 21., 22., 23., 24., 25., 26., 27., 28., 29.,
+             30., 31., 32., 33., 34., 35., 36., 37., 38., 39.,
+             40., 41., 42., 43., 44., 45., 46., 47., 48., 49.,
+             50., 51., 52., 53., 54., 55., 56., 57., 58., 59.,
+             60., 61., 62., 63., 64., 65., 66., 67., 68., 69.,
+             70., 71., 72., 73., 74., 75., 76., 77., 78., 79.,
+             80., 81., 82., 83., 84., 85., 86., 87., 88., 89.,
+             90., 91., 92., 93., 94., 95., 96., 97., 98., 99.,
+
+             49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5,
+             49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_median_01(self):
+        a = np.array([[3, 1, 4], [4, 5, 9], [9, 8, 2]])
+        a = np.pad(a, 1, 'median')
+        b = np.array(
+            [[4, 4, 5, 4, 4],
+
+             [3, 3, 1, 4, 3],
+             [5, 4, 5, 9, 5],
+             [8, 9, 8, 2, 8],
+
+             [4, 4, 5, 4, 4]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_median_02(self):
+        a = np.array([[3, 1, 4], [4, 5, 9], [9, 8, 2]])
+        a = np.pad(a.T, 1, 'median').T
+        b = np.array(
+            [[5, 4, 5, 4, 5],
+
+             [3, 3, 1, 4, 3],
+             [5, 4, 5, 9, 5],
+             [8, 9, 8, 2, 8],
+
+             [5, 4, 5, 4, 5]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_median_stat_length(self):
+        a = np.arange(100).astype('f')
+        a[1] = 2.
+        a[97] = 96.
+        a = np.pad(a, (25, 20), 'median', stat_length=(3, 5))
+        b = np.array(
+            [ 2.,  2.,  2.,  2.,  2.,  2.,  2.,  2.,  2.,  2.,
+              2.,  2.,  2.,  2.,  2.,  2.,  2.,  2.,  2.,  2.,
+              2.,  2.,  2.,  2.,  2.,
+
+              0.,  2.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9.,
+             10., 11., 12., 13., 14., 15., 16., 17., 18., 19.,
+             20., 21., 22., 23., 24., 25., 26., 27., 28., 29.,
+             30., 31., 32., 33., 34., 35., 36., 37., 38., 39.,
+             40., 41., 42., 43., 44., 45., 46., 47., 48., 49.,
+             50., 51., 52., 53., 54., 55., 56., 57., 58., 59.,
+             60., 61., 62., 63., 64., 65., 66., 67., 68., 69.,
+             70., 71., 72., 73., 74., 75., 76., 77., 78., 79.,
+             80., 81., 82., 83., 84., 85., 86., 87., 88., 89.,
+             90., 91., 92., 93., 94., 95., 96., 96., 98., 99.,
+
+             96., 96., 96., 96., 96., 96., 96., 96., 96., 96.,
+             96., 96., 96., 96., 96., 96., 96., 96., 96., 96.]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_mean_shape_one(self):
+        a = [[4, 5, 6]]
+        a = np.pad(a, (5, 7), 'mean', stat_length=2)
+        b = np.array(
+            [[4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6],
+             [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_mean_2(self):
+        a = np.arange(100).astype('f')
+        a = np.pad(a, (25, 20), 'mean')
+        b = np.array(
+            [49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5,
+             49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5,
+             49.5, 49.5, 49.5, 49.5, 49.5,
+
+             0., 1., 2., 3., 4., 5., 6., 7., 8., 9.,
+             10., 11., 12., 13., 14., 15., 16., 17., 18., 19.,
+             20., 21., 22., 23., 24., 25., 26., 27., 28., 29.,
+             30., 31., 32., 33., 34., 35., 36., 37., 38., 39.,
+             40., 41., 42., 43., 44., 45., 46., 47., 48., 49.,
+             50., 51., 52., 53., 54., 55., 56., 57., 58., 59.,
+             60., 61., 62., 63., 64., 65., 66., 67., 68., 69.,
+             70., 71., 72., 73., 74., 75., 76., 77., 78., 79.,
+             80., 81., 82., 83., 84., 85., 86., 87., 88., 89.,
+             90., 91., 92., 93., 94., 95., 96., 97., 98., 99.,
+
+             49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5,
+             49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5]
+            )
+        assert_array_equal(a, b)
+
+    @pytest.mark.parametrize("mode", [
+        "mean",
+        "median",
+        "minimum",
+        "maximum"
+    ])
+    def test_same_prepend_append(self, mode):
+        """ Test that appended and prepended values are equal """
+        # This test is constructed to trigger floating point rounding errors in
+        # a way that caused gh-11216 for mode=='mean'
+        a = np.array([-1, 2, -1]) + np.array([0, 1e-12, 0], dtype=np.float64)
+        a = np.pad(a, (1, 1), mode)
+        assert_equal(a[0], a[-1])
+
+    @pytest.mark.parametrize("mode", ["mean", "median", "minimum", "maximum"])
+    @pytest.mark.parametrize(
+        "stat_length", [-2, (-2,), (3, -1), ((5, 2), (-2, 3)), ((-4,), (2,))]
+    )
+    def test_check_negative_stat_length(self, mode, stat_length):
+        arr = np.arange(30).reshape((6, 5))
+        match = "index can't contain negative values"
+        with pytest.raises(ValueError, match=match):
+            np.pad(arr, 2, mode, stat_length=stat_length)
+
+    def test_simple_stat_length(self):
+        a = np.arange(30)
+        a = np.reshape(a, (6, 5))
+        a = np.pad(a, ((2, 3), (3, 2)), mode='mean', stat_length=(3,))
+        b = np.array(
+            [[6, 6, 6, 5, 6, 7, 8, 9, 8, 8],
+             [6, 6, 6, 5, 6, 7, 8, 9, 8, 8],
+
+             [1, 1, 1, 0, 1, 2, 3, 4, 3, 3],
+             [6, 6, 6, 5, 6, 7, 8, 9, 8, 8],
+             [11, 11, 11, 10, 11, 12, 13, 14, 13, 13],
+             [16, 16, 16, 15, 16, 17, 18, 19, 18, 18],
+             [21, 21, 21, 20, 21, 22, 23, 24, 23, 23],
+             [26, 26, 26, 25, 26, 27, 28, 29, 28, 28],
+
+             [21, 21, 21, 20, 21, 22, 23, 24, 23, 23],
+             [21, 21, 21, 20, 21, 22, 23, 24, 23, 23],
+             [21, 21, 21, 20, 21, 22, 23, 24, 23, 23]]
+            )
+        assert_array_equal(a, b)
+
+    @pytest.mark.filterwarnings("ignore:Mean of empty slice:RuntimeWarning")
+    @pytest.mark.filterwarnings(
+        "ignore:invalid value encountered in( scalar)? divide:RuntimeWarning"
+    )
+    @pytest.mark.parametrize("mode", ["mean", "median"])
+    def test_zero_stat_length_valid(self, mode):
+        arr = np.pad([1., 2.], (1, 2), mode, stat_length=0)
+        expected = np.array([np.nan, 1., 2., np.nan, np.nan])
+        assert_equal(arr, expected)
+
+    @pytest.mark.parametrize("mode", ["minimum", "maximum"])
+    def test_zero_stat_length_invalid(self, mode):
+        match = "stat_length of 0 yields no value for padding"
+        with pytest.raises(ValueError, match=match):
+            np.pad([1., 2.], 0, mode, stat_length=0)
+        with pytest.raises(ValueError, match=match):
+            np.pad([1., 2.], 0, mode, stat_length=(1, 0))
+        with pytest.raises(ValueError, match=match):
+            np.pad([1., 2.], 1, mode, stat_length=0)
+        with pytest.raises(ValueError, match=match):
+            np.pad([1., 2.], 1, mode, stat_length=(1, 0))
+
+
+class TestConstant:
+    def test_check_constant(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'constant', constant_values=(10, 20))
+        b = np.array(
+            [10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
+             10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
+             10, 10, 10, 10, 10,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
+             20, 20, 20, 20, 20, 20, 20, 20, 20, 20]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_constant_zeros(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'constant')
+        b = np.array(
+            [ 0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
+              0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
+              0,  0,  0,  0,  0,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+              0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
+              0,  0,  0,  0,  0,  0,  0,  0,  0,  0]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_constant_float(self):
+        # If input array is int, but constant_values are float, the dtype of
+        # the array to be padded is kept
+        arr = np.arange(30).reshape(5, 6)
+        test = np.pad(arr, (1, 2), mode='constant',
+                   constant_values=1.1)
+        expected = np.array(
+            [[ 1,  1,  1,  1,  1,  1,  1,  1,  1],
+
+             [ 1,  0,  1,  2,  3,  4,  5,  1,  1],
+             [ 1,  6,  7,  8,  9, 10, 11,  1,  1],
+             [ 1, 12, 13, 14, 15, 16, 17,  1,  1],
+             [ 1, 18, 19, 20, 21, 22, 23,  1,  1],
+             [ 1, 24, 25, 26, 27, 28, 29,  1,  1],
+
+             [ 1,  1,  1,  1,  1,  1,  1,  1,  1],
+             [ 1,  1,  1,  1,  1,  1,  1,  1,  1]]
+            )
+        assert_allclose(test, expected)
+
+    def test_check_constant_float2(self):
+        # If input array is float, and constant_values are float, the dtype of
+        # the array to be padded is kept - here retaining the float constants
+        arr = np.arange(30).reshape(5, 6)
+        arr_float = arr.astype(np.float64)
+        test = np.pad(arr_float, ((1, 2), (1, 2)), mode='constant',
+                   constant_values=1.1)
+        expected = np.array(
+            [[  1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1],
+
+             [  1.1,   0. ,   1. ,   2. ,   3. ,   4. ,   5. ,   1.1,   1.1],
+             [  1.1,   6. ,   7. ,   8. ,   9. ,  10. ,  11. ,   1.1,   1.1],
+             [  1.1,  12. ,  13. ,  14. ,  15. ,  16. ,  17. ,   1.1,   1.1],
+             [  1.1,  18. ,  19. ,  20. ,  21. ,  22. ,  23. ,   1.1,   1.1],
+             [  1.1,  24. ,  25. ,  26. ,  27. ,  28. ,  29. ,   1.1,   1.1],
+
+             [  1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1],
+             [  1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1,   1.1]]
+            )
+        assert_allclose(test, expected)
+
+    def test_check_constant_float3(self):
+        a = np.arange(100, dtype=float)
+        a = np.pad(a, (25, 20), 'constant', constant_values=(-1.1, -1.2))
+        b = np.array(
+            [-1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1,
+             -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1,
+             -1.1, -1.1, -1.1, -1.1, -1.1,
+
+             0,  1,  2,  3,  4,  5,  6,  7,  8,  9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2,
+             -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2]
+            )
+        assert_allclose(a, b)
+
+    def test_check_constant_odd_pad_amount(self):
+        arr = np.arange(30).reshape(5, 6)
+        test = np.pad(arr, ((1,), (2,)), mode='constant',
+                   constant_values=3)
+        expected = np.array(
+            [[ 3,  3,  3,  3,  3,  3,  3,  3,  3,  3],
+
+             [ 3,  3,  0,  1,  2,  3,  4,  5,  3,  3],
+             [ 3,  3,  6,  7,  8,  9, 10, 11,  3,  3],
+             [ 3,  3, 12, 13, 14, 15, 16, 17,  3,  3],
+             [ 3,  3, 18, 19, 20, 21, 22, 23,  3,  3],
+             [ 3,  3, 24, 25, 26, 27, 28, 29,  3,  3],
+
+             [ 3,  3,  3,  3,  3,  3,  3,  3,  3,  3]]
+            )
+        assert_allclose(test, expected)
+
+    def test_check_constant_pad_2d(self):
+        arr = np.arange(4).reshape(2, 2)
+        test = np.pad(arr, ((1, 2), (1, 3)), mode='constant',
+                          constant_values=((1, 2), (3, 4)))
+        expected = np.array(
+            [[3, 1, 1, 4, 4, 4],
+             [3, 0, 1, 4, 4, 4],
+             [3, 2, 3, 4, 4, 4],
+             [3, 2, 2, 4, 4, 4],
+             [3, 2, 2, 4, 4, 4]]
+        )
+        assert_allclose(test, expected)
+
+    def test_check_large_integers(self):
+        uint64_max = 2 ** 64 - 1
+        arr = np.full(5, uint64_max, dtype=np.uint64)
+        test = np.pad(arr, 1, mode="constant", constant_values=arr.min())
+        expected = np.full(7, uint64_max, dtype=np.uint64)
+        assert_array_equal(test, expected)
+
+        int64_max = 2 ** 63 - 1
+        arr = np.full(5, int64_max, dtype=np.int64)
+        test = np.pad(arr, 1, mode="constant", constant_values=arr.min())
+        expected = np.full(7, int64_max, dtype=np.int64)
+        assert_array_equal(test, expected)
+
+    def test_check_object_array(self):
+        arr = np.empty(1, dtype=object)
+        obj_a = object()
+        arr[0] = obj_a
+        obj_b = object()
+        obj_c = object()
+        arr = np.pad(arr, pad_width=1, mode='constant',
+                     constant_values=(obj_b, obj_c))
+
+        expected = np.empty((3,), dtype=object)
+        expected[0] = obj_b
+        expected[1] = obj_a
+        expected[2] = obj_c
+
+        assert_array_equal(arr, expected)
+
+    def test_pad_empty_dimension(self):
+        arr = np.zeros((3, 0, 2))
+        result = np.pad(arr, [(0,), (2,), (1,)], mode="constant")
+        assert result.shape == (3, 4, 4)
+
+
+class TestLinearRamp:
+    def test_check_simple(self):
+        a = np.arange(100).astype('f')
+        a = np.pad(a, (25, 20), 'linear_ramp', end_values=(4, 5))
+        b = np.array(
+            [4.00, 3.84, 3.68, 3.52, 3.36, 3.20, 3.04, 2.88, 2.72, 2.56,
+             2.40, 2.24, 2.08, 1.92, 1.76, 1.60, 1.44, 1.28, 1.12, 0.96,
+             0.80, 0.64, 0.48, 0.32, 0.16,
+
+             0.00, 1.00, 2.00, 3.00, 4.00, 5.00, 6.00, 7.00, 8.00, 9.00,
+             10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0,
+             20.0, 21.0, 22.0, 23.0, 24.0, 25.0, 26.0, 27.0, 28.0, 29.0,
+             30.0, 31.0, 32.0, 33.0, 34.0, 35.0, 36.0, 37.0, 38.0, 39.0,
+             40.0, 41.0, 42.0, 43.0, 44.0, 45.0, 46.0, 47.0, 48.0, 49.0,
+             50.0, 51.0, 52.0, 53.0, 54.0, 55.0, 56.0, 57.0, 58.0, 59.0,
+             60.0, 61.0, 62.0, 63.0, 64.0, 65.0, 66.0, 67.0, 68.0, 69.0,
+             70.0, 71.0, 72.0, 73.0, 74.0, 75.0, 76.0, 77.0, 78.0, 79.0,
+             80.0, 81.0, 82.0, 83.0, 84.0, 85.0, 86.0, 87.0, 88.0, 89.0,
+             90.0, 91.0, 92.0, 93.0, 94.0, 95.0, 96.0, 97.0, 98.0, 99.0,
+
+             94.3, 89.6, 84.9, 80.2, 75.5, 70.8, 66.1, 61.4, 56.7, 52.0,
+             47.3, 42.6, 37.9, 33.2, 28.5, 23.8, 19.1, 14.4, 9.7, 5.]
+            )
+        assert_allclose(a, b, rtol=1e-5, atol=1e-5)
+
+    def test_check_2d(self):
+        arr = np.arange(20).reshape(4, 5).astype(np.float64)
+        test = np.pad(arr, (2, 2), mode='linear_ramp', end_values=(0, 0))
+        expected = np.array(
+            [[0.,   0.,   0.,   0.,   0.,   0.,   0.,    0.,   0.],
+             [0.,   0.,   0.,  0.5,   1.,  1.5,   2.,    1.,   0.],
+             [0.,   0.,   0.,   1.,   2.,   3.,   4.,    2.,   0.],
+             [0.,  2.5,   5.,   6.,   7.,   8.,   9.,   4.5,   0.],
+             [0.,   5.,  10.,  11.,  12.,  13.,  14.,    7.,   0.],
+             [0.,  7.5,  15.,  16.,  17.,  18.,  19.,   9.5,   0.],
+             [0., 3.75,  7.5,   8.,  8.5,   9.,  9.5,  4.75,   0.],
+             [0.,   0.,   0.,   0.,   0.,   0.,   0.,    0.,   0.]])
+        assert_allclose(test, expected)
+
+    @pytest.mark.xfail(exceptions=(AssertionError,))
+    def test_object_array(self):
+        from fractions import Fraction
+        arr = np.array([Fraction(1, 2), Fraction(-1, 2)])
+        actual = np.pad(arr, (2, 3), mode='linear_ramp', end_values=0)
+
+        # deliberately chosen to have a non-power-of-2 denominator such that
+        # rounding to floats causes a failure.
+        expected = np.array([
+            Fraction( 0, 12),
+            Fraction( 3, 12),
+            Fraction( 6, 12),
+            Fraction(-6, 12),
+            Fraction(-4, 12),
+            Fraction(-2, 12),
+            Fraction(-0, 12),
+        ])
+        assert_equal(actual, expected)
+
+    def test_end_values(self):
+        """Ensure that end values are exact."""
+        a = np.pad(np.ones(10).reshape(2, 5), (223, 123), mode="linear_ramp")
+        assert_equal(a[:, 0], 0.)
+        assert_equal(a[:, -1], 0.)
+        assert_equal(a[0, :], 0.)
+        assert_equal(a[-1, :], 0.)
+
+    @pytest.mark.parametrize("dtype", _numeric_dtypes)
+    def test_negative_difference(self, dtype):
+        """
+        Check correct behavior of unsigned dtypes if there is a negative
+        difference between the edge to pad and `end_values`. Check both cases
+        to be independent of implementation. Test behavior for all other dtypes
+        in case dtype casting interferes with complex dtypes. See gh-14191.
+        """
+        x = np.array([3], dtype=dtype)
+        result = np.pad(x, 3, mode="linear_ramp", end_values=0)
+        expected = np.array([0, 1, 2, 3, 2, 1, 0], dtype=dtype)
+        assert_equal(result, expected)
+
+        x = np.array([0], dtype=dtype)
+        result = np.pad(x, 3, mode="linear_ramp", end_values=3)
+        expected = np.array([3, 2, 1, 0, 1, 2, 3], dtype=dtype)
+        assert_equal(result, expected)
+
+
+class TestReflect:
+    def test_check_simple(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'reflect')
+        b = np.array(
+            [25, 24, 23, 22, 21, 20, 19, 18, 17, 16,
+             15, 14, 13, 12, 11, 10, 9, 8, 7, 6,
+             5, 4, 3, 2, 1,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             98, 97, 96, 95, 94, 93, 92, 91, 90, 89,
+             88, 87, 86, 85, 84, 83, 82, 81, 80, 79]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_odd_method(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'reflect', reflect_type='odd')
+        b = np.array(
+            [-25, -24, -23, -22, -21, -20, -19, -18, -17, -16,
+             -15, -14, -13, -12, -11, -10, -9, -8, -7, -6,
+             -5, -4, -3, -2, -1,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             100, 101, 102, 103, 104, 105, 106, 107, 108, 109,
+             110, 111, 112, 113, 114, 115, 116, 117, 118, 119]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_large_pad(self):
+        a = [[4, 5, 6], [6, 7, 8]]
+        a = np.pad(a, (5, 7), 'reflect')
+        b = np.array(
+            [[7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7],
+
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7],
+
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_shape(self):
+        a = [[4, 5, 6]]
+        a = np.pad(a, (5, 7), 'reflect')
+        b = np.array(
+            [[5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5],
+             [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_01(self):
+        a = np.pad([1, 2, 3], 2, 'reflect')
+        b = np.array([3, 2, 1, 2, 3, 2, 1])
+        assert_array_equal(a, b)
+
+    def test_check_02(self):
+        a = np.pad([1, 2, 3], 3, 'reflect')
+        b = np.array([2, 3, 2, 1, 2, 3, 2, 1, 2])
+        assert_array_equal(a, b)
+
+    def test_check_03(self):
+        a = np.pad([1, 2, 3], 4, 'reflect')
+        b = np.array([1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3])
+        assert_array_equal(a, b)
+
+    def test_check_04(self):
+        a = np.pad([1, 2, 3], [1, 10], 'reflect')
+        b = np.array([2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1])
+        assert_array_equal(a, b)
+
+    def test_check_05(self):
+        a = np.pad([1, 2, 3, 4], [45, 10], 'reflect')
+        b = np.array(
+            [4, 3, 2, 1, 2, 3, 4, 3, 2, 1,
+             2, 3, 4, 3, 2, 1, 2, 3, 4, 3,
+             2, 1, 2, 3, 4, 3, 2, 1, 2, 3,
+             4, 3, 2, 1, 2, 3, 4, 3, 2, 1,
+             2, 3, 4, 3, 2, 1, 2, 3, 4, 3,
+             2, 1, 2, 3, 4, 3, 2, 1, 2])
+        assert_array_equal(a, b)
+
+    def test_check_06(self):
+        a = np.pad([1, 2, 3, 4], [15, 2], 'symmetric')
+        b = np.array(
+            [2, 3, 4, 4, 3, 2, 1, 1, 2, 3,
+             4, 4, 3, 2, 1, 1, 2, 3, 4, 4,
+             3]
+        )
+        assert_array_equal(a, b)
+
+    def test_check_07(self):
+        a = np.pad([1, 2, 3, 4, 5, 6], [45, 3], 'symmetric')
+        b = np.array(
+            [4, 5, 6, 6, 5, 4, 3, 2, 1, 1,
+             2, 3, 4, 5, 6, 6, 5, 4, 3, 2,
+             1, 1, 2, 3, 4, 5, 6, 6, 5, 4,
+             3, 2, 1, 1, 2, 3, 4, 5, 6, 6,
+             5, 4, 3, 2, 1, 1, 2, 3, 4, 5,
+             6, 6, 5, 4])
+        assert_array_equal(a, b)
+
+
+class TestEmptyArray:
+    """Check how padding behaves on arrays with an empty dimension."""
+
+    @pytest.mark.parametrize(
+        # Keep parametrization ordered, otherwise pytest-xdist might believe
+        # that different tests were collected during parallelization
+        "mode", sorted(_all_modes.keys() - {"constant", "empty"})
+    )
+    def test_pad_empty_dimension(self, mode):
+        match = ("can't extend empty axis 0 using modes other than 'constant' "
+                 "or 'empty'")
+        with pytest.raises(ValueError, match=match):
+            np.pad([], 4, mode=mode)
+        with pytest.raises(ValueError, match=match):
+            np.pad(np.ndarray(0), 4, mode=mode)
+        with pytest.raises(ValueError, match=match):
+            np.pad(np.zeros((0, 3)), ((1,), (0,)), mode=mode)
+
+    @pytest.mark.parametrize("mode", _all_modes.keys())
+    def test_pad_non_empty_dimension(self, mode):
+        result = np.pad(np.ones((2, 0, 2)), ((3,), (0,), (1,)), mode=mode)
+        assert result.shape == (8, 0, 4)
+
+
+class TestSymmetric:
+    def test_check_simple(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'symmetric')
+        b = np.array(
+            [24, 23, 22, 21, 20, 19, 18, 17, 16, 15,
+             14, 13, 12, 11, 10, 9, 8, 7, 6, 5,
+             4, 3, 2, 1, 0,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             99, 98, 97, 96, 95, 94, 93, 92, 91, 90,
+             89, 88, 87, 86, 85, 84, 83, 82, 81, 80]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_odd_method(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'symmetric', reflect_type='odd')
+        b = np.array(
+            [-24, -23, -22, -21, -20, -19, -18, -17, -16, -15,
+             -14, -13, -12, -11, -10, -9, -8, -7, -6, -5,
+             -4, -3, -2, -1, 0,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
+             109, 110, 111, 112, 113, 114, 115, 116, 117, 118]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_large_pad(self):
+        a = [[4, 5, 6], [6, 7, 8]]
+        a = np.pad(a, (5, 7), 'symmetric')
+        b = np.array(
+            [[5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8],
+             [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8],
+
+             [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8],
+             [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6]]
+            )
+
+        assert_array_equal(a, b)
+
+    def test_check_large_pad_odd(self):
+        a = [[4, 5, 6], [6, 7, 8]]
+        a = np.pad(a, (5, 7), 'symmetric', reflect_type='odd')
+        b = np.array(
+            [[-3, -2, -2, -1,  0,  0,  1,  2,  2,  3,  4,  4,  5,  6,  6],
+             [-3, -2, -2, -1,  0,  0,  1,  2,  2,  3,  4,  4,  5,  6,  6],
+             [-1,  0,  0,  1,  2,  2,  3,  4,  4,  5,  6,  6,  7,  8,  8],
+             [-1,  0,  0,  1,  2,  2,  3,  4,  4,  5,  6,  6,  7,  8,  8],
+             [ 1,  2,  2,  3,  4,  4,  5,  6,  6,  7,  8,  8,  9, 10, 10],
+
+             [ 1,  2,  2,  3,  4,  4,  5,  6,  6,  7,  8,  8,  9, 10, 10],
+             [ 3,  4,  4,  5,  6,  6,  7,  8,  8,  9, 10, 10, 11, 12, 12],
+
+             [ 3,  4,  4,  5,  6,  6,  7,  8,  8,  9, 10, 10, 11, 12, 12],
+             [ 5,  6,  6,  7,  8,  8,  9, 10, 10, 11, 12, 12, 13, 14, 14],
+             [ 5,  6,  6,  7,  8,  8,  9, 10, 10, 11, 12, 12, 13, 14, 14],
+             [ 7,  8,  8,  9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16],
+             [ 7,  8,  8,  9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16],
+             [ 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 18],
+             [ 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 18]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_shape(self):
+        a = [[4, 5, 6]]
+        a = np.pad(a, (5, 7), 'symmetric')
+        b = np.array(
+            [[5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6],
+             [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_01(self):
+        a = np.pad([1, 2, 3], 2, 'symmetric')
+        b = np.array([2, 1, 1, 2, 3, 3, 2])
+        assert_array_equal(a, b)
+
+    def test_check_02(self):
+        a = np.pad([1, 2, 3], 3, 'symmetric')
+        b = np.array([3, 2, 1, 1, 2, 3, 3, 2, 1])
+        assert_array_equal(a, b)
+
+    def test_check_03(self):
+        a = np.pad([1, 2, 3], 6, 'symmetric')
+        b = np.array([1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3])
+        assert_array_equal(a, b)
+
+
+class TestWrap:
+    def test_check_simple(self):
+        a = np.arange(100)
+        a = np.pad(a, (25, 20), 'wrap')
+        b = np.array(
+            [75, 76, 77, 78, 79, 80, 81, 82, 83, 84,
+             85, 86, 87, 88, 89, 90, 91, 92, 93, 94,
+             95, 96, 97, 98, 99,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+             20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+             30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+             40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+             50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+             60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+             70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+             80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+             90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+
+             0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+             10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_large_pad(self):
+        a = np.arange(12)
+        a = np.reshape(a, (3, 4))
+        a = np.pad(a, (10, 12), 'wrap')
+        b = np.array(
+            [[10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11],
+             [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2,
+              3, 0, 1, 2, 3, 0, 1, 2, 3],
+             [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6,
+              7, 4, 5, 6, 7, 4, 5, 6, 7],
+             [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10,
+              11, 8, 9, 10, 11, 8, 9, 10, 11]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_01(self):
+        a = np.pad([1, 2, 3], 3, 'wrap')
+        b = np.array([1, 2, 3, 1, 2, 3, 1, 2, 3])
+        assert_array_equal(a, b)
+
+    def test_check_02(self):
+        a = np.pad([1, 2, 3], 4, 'wrap')
+        b = np.array([3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1])
+        assert_array_equal(a, b)
+
+    def test_pad_with_zero(self):
+        a = np.ones((3, 5))
+        b = np.pad(a, (0, 5), mode="wrap")
+        assert_array_equal(a, b[:-5, :-5])
+
+    def test_repeated_wrapping(self):
+        """
+        Check wrapping on each side individually if the wrapped area is longer
+        than the original array.
+        """
+        a = np.arange(5)
+        b = np.pad(a, (12, 0), mode="wrap")
+        assert_array_equal(np.r_[a, a, a, a][3:], b)
+
+        a = np.arange(5)
+        b = np.pad(a, (0, 12), mode="wrap")
+        assert_array_equal(np.r_[a, a, a, a][:-3], b)
+
+    def test_repeated_wrapping_multiple_origin(self):
+        """
+        Assert that 'wrap' pads only with multiples of the original area if
+        the pad width is larger than the original array.
+        """
+        a = np.arange(4).reshape(2, 2)
+        a = np.pad(a, [(1, 3), (3, 1)], mode='wrap')
+        b = np.array(
+            [[3, 2, 3, 2, 3, 2],
+             [1, 0, 1, 0, 1, 0],
+             [3, 2, 3, 2, 3, 2],
+             [1, 0, 1, 0, 1, 0],
+             [3, 2, 3, 2, 3, 2],
+             [1, 0, 1, 0, 1, 0]]
+        )
+        assert_array_equal(a, b)
+
+
+class TestEdge:
+    def test_check_simple(self):
+        a = np.arange(12)
+        a = np.reshape(a, (4, 3))
+        a = np.pad(a, ((2, 3), (3, 2)), 'edge')
+        b = np.array(
+            [[0, 0, 0, 0, 1, 2, 2, 2],
+             [0, 0, 0, 0, 1, 2, 2, 2],
+
+             [0, 0, 0, 0, 1, 2, 2, 2],
+             [3, 3, 3, 3, 4, 5, 5, 5],
+             [6, 6, 6, 6, 7, 8, 8, 8],
+             [9, 9, 9, 9, 10, 11, 11, 11],
+
+             [9, 9, 9, 9, 10, 11, 11, 11],
+             [9, 9, 9, 9, 10, 11, 11, 11],
+             [9, 9, 9, 9, 10, 11, 11, 11]]
+            )
+        assert_array_equal(a, b)
+
+    def test_check_width_shape_1_2(self):
+        # Check a pad_width of the form ((1, 2),).
+        # Regression test for issue gh-7808.
+        a = np.array([1, 2, 3])
+        padded = np.pad(a, ((1, 2),), 'edge')
+        expected = np.array([1, 1, 2, 3, 3, 3])
+        assert_array_equal(padded, expected)
+
+        a = np.array([[1, 2, 3], [4, 5, 6]])
+        padded = np.pad(a, ((1, 2),), 'edge')
+        expected = np.pad(a, ((1, 2), (1, 2)), 'edge')
+        assert_array_equal(padded, expected)
+
+        a = np.arange(24).reshape(2, 3, 4)
+        padded = np.pad(a, ((1, 2),), 'edge')
+        expected = np.pad(a, ((1, 2), (1, 2), (1, 2)), 'edge')
+        assert_array_equal(padded, expected)
+
+
+class TestEmpty:
+    def test_simple(self):
+        arr = np.arange(24).reshape(4, 6)
+        result = np.pad(arr, [(2, 3), (3, 1)], mode="empty")
+        assert result.shape == (9, 10)
+        assert_equal(arr, result[2:-3, 3:-1])
+
+    def test_pad_empty_dimension(self):
+        arr = np.zeros((3, 0, 2))
+        result = np.pad(arr, [(0,), (2,), (1,)], mode="empty")
+        assert result.shape == (3, 4, 4)
+
+
+def test_legacy_vector_functionality():
+    def _padwithtens(vector, pad_width, iaxis, kwargs):
+        vector[:pad_width[0]] = 10
+        vector[-pad_width[1]:] = 10
+
+    a = np.arange(6).reshape(2, 3)
+    a = np.pad(a, 2, _padwithtens)
+    b = np.array(
+        [[10, 10, 10, 10, 10, 10, 10],
+         [10, 10, 10, 10, 10, 10, 10],
+
+         [10, 10,  0,  1,  2, 10, 10],
+         [10, 10,  3,  4,  5, 10, 10],
+
+         [10, 10, 10, 10, 10, 10, 10],
+         [10, 10, 10, 10, 10, 10, 10]]
+        )
+    assert_array_equal(a, b)
+
+
+def test_unicode_mode():
+    a = np.pad([1], 2, mode='constant')
+    b = np.array([0, 0, 1, 0, 0])
+    assert_array_equal(a, b)
+
+
+@pytest.mark.parametrize("mode", ["edge", "symmetric", "reflect", "wrap"])
+def test_object_input(mode):
+    # Regression test for issue gh-11395.
+    a = np.full((4, 3), fill_value=None)
+    pad_amt = ((2, 3), (3, 2))
+    b = np.full((9, 8), fill_value=None)
+    assert_array_equal(np.pad(a, pad_amt, mode=mode), b)
+
+
+class TestPadWidth:
+    @pytest.mark.parametrize("pad_width", [
+        (4, 5, 6, 7),
+        ((1,), (2,), (3,)),
+        ((1, 2), (3, 4), (5, 6)),
+        ((3, 4, 5), (0, 1, 2)),
+    ])
+    @pytest.mark.parametrize("mode", _all_modes.keys())
+    def test_misshaped_pad_width(self, pad_width, mode):
+        arr = np.arange(30).reshape((6, 5))
+        match = "operands could not be broadcast together"
+        with pytest.raises(ValueError, match=match):
+            np.pad(arr, pad_width, mode)
+
+    @pytest.mark.parametrize("mode", _all_modes.keys())
+    def test_misshaped_pad_width_2(self, mode):
+        arr = np.arange(30).reshape((6, 5))
+        match = ("input operand has more dimensions than allowed by the axis "
+                 "remapping")
+        with pytest.raises(ValueError, match=match):
+            np.pad(arr, (((3,), (4,), (5,)), ((0,), (1,), (2,))), mode)
+
+    @pytest.mark.parametrize(
+        "pad_width", [-2, (-2,), (3, -1), ((5, 2), (-2, 3)), ((-4,), (2,))])
+    @pytest.mark.parametrize("mode", _all_modes.keys())
+    def test_negative_pad_width(self, pad_width, mode):
+        arr = np.arange(30).reshape((6, 5))
+        match = "index can't contain negative values"
+        with pytest.raises(ValueError, match=match):
+            np.pad(arr, pad_width, mode)
+
+    @pytest.mark.parametrize("pad_width, dtype", [
+        ("3", None),
+        ("word", None),
+        (None, None),
+        (object(), None),
+        (3.4, None),
+        (((2, 3, 4), (3, 2)), object),
+        (complex(1, -1), None),
+        (((-2.1, 3), (3, 2)), None),
+    ])
+    @pytest.mark.parametrize("mode", _all_modes.keys())
+    def test_bad_type(self, pad_width, dtype, mode):
+        arr = np.arange(30).reshape((6, 5))
+        match = "`pad_width` must be of integral type."
+        if dtype is not None:
+            # avoid DeprecationWarning when not specifying dtype
+            with pytest.raises(TypeError, match=match):
+                np.pad(arr, np.array(pad_width, dtype=dtype), mode)
+        else:
+            with pytest.raises(TypeError, match=match):
+                np.pad(arr, pad_width, mode)
+            with pytest.raises(TypeError, match=match):
+                np.pad(arr, np.array(pad_width), mode)
+
+    def test_pad_width_as_ndarray(self):
+        a = np.arange(12)
+        a = np.reshape(a, (4, 3))
+        a = np.pad(a, np.array(((2, 3), (3, 2))), 'edge')
+        b = np.array(
+            [[0,  0,  0,    0,  1,  2,    2,  2],
+             [0,  0,  0,    0,  1,  2,    2,  2],
+
+             [0,  0,  0,    0,  1,  2,    2,  2],
+             [3,  3,  3,    3,  4,  5,    5,  5],
+             [6,  6,  6,    6,  7,  8,    8,  8],
+             [9,  9,  9,    9, 10, 11,   11, 11],
+
+             [9,  9,  9,    9, 10, 11,   11, 11],
+             [9,  9,  9,    9, 10, 11,   11, 11],
+             [9,  9,  9,    9, 10, 11,   11, 11]]
+            )
+        assert_array_equal(a, b)
+
+    @pytest.mark.parametrize("pad_width", [0, (0, 0), ((0, 0), (0, 0))])
+    @pytest.mark.parametrize("mode", _all_modes.keys())
+    def test_zero_pad_width(self, pad_width, mode):
+        arr = np.arange(30).reshape(6, 5)
+        assert_array_equal(arr, np.pad(arr, pad_width, mode=mode))
+
+
+@pytest.mark.parametrize("mode", _all_modes.keys())
+def test_kwargs(mode):
+    """Test behavior of pad's kwargs for the given mode."""
+    allowed = _all_modes[mode]
+    not_allowed = {}
+    for kwargs in _all_modes.values():
+        if kwargs != allowed:
+            not_allowed.update(kwargs)
+    # Test if allowed keyword arguments pass
+    np.pad([1, 2, 3], 1, mode, **allowed)
+    # Test if prohibited keyword arguments of other modes raise an error
+    for key, value in not_allowed.items():
+        match = "unsupported keyword arguments for mode '{}'".format(mode)
+        with pytest.raises(ValueError, match=match):
+            np.pad([1, 2, 3], 1, mode, **{key: value})
+
+
+def test_constant_zero_default():
+    arr = np.array([1, 1])
+    assert_array_equal(np.pad(arr, 2), [0, 0, 1, 1, 0, 0])
+
+
+@pytest.mark.parametrize("mode", [1, "const", object(), None, True, False])
+def test_unsupported_mode(mode):
+    match= "mode '{}' is not supported".format(mode)
+    with pytest.raises(ValueError, match=match):
+        np.pad([1, 2, 3], 4, mode=mode)
+
+
+@pytest.mark.parametrize("mode", _all_modes.keys())
+def test_non_contiguous_array(mode):
+    arr = np.arange(24).reshape(4, 6)[::2, ::2]
+    result = np.pad(arr, (2, 3), mode)
+    assert result.shape == (7, 8)
+    assert_equal(result[2:-3, 2:-3], arr)
+
+
+@pytest.mark.parametrize("mode", _all_modes.keys())
+def test_memory_layout_persistence(mode):
+    """Test if C and F order is preserved for all pad modes."""
+    x = np.ones((5, 10), order='C')
+    assert np.pad(x, 5, mode).flags["C_CONTIGUOUS"]
+    x = np.ones((5, 10), order='F')
+    assert np.pad(x, 5, mode).flags["F_CONTIGUOUS"]
+
+
+@pytest.mark.parametrize("dtype", _numeric_dtypes)
+@pytest.mark.parametrize("mode", _all_modes.keys())
+def test_dtype_persistence(dtype, mode):
+    arr = np.zeros((3, 2, 1), dtype=dtype)
+    result = np.pad(arr, 1, mode=mode)
+    assert result.dtype == dtype
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arraysetops.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arraysetops.py
new file mode 100644
index 0000000000000000000000000000000000000000..d9721266036dd9a379efea599cc66108951a4d0c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arraysetops.py
@@ -0,0 +1,1000 @@
+"""Test functions for 1D array set operations.
+
+"""
+import numpy as np
+
+from numpy import (
+    ediff1d, intersect1d, setxor1d, union1d, setdiff1d, unique, isin
+    )
+from numpy.exceptions import AxisError
+from numpy.testing import (assert_array_equal, assert_equal,
+                           assert_raises, assert_raises_regex)
+import pytest
+
+
+class TestSetOps:
+
+    def test_intersect1d(self):
+        # unique inputs
+        a = np.array([5, 7, 1, 2])
+        b = np.array([2, 4, 3, 1, 5])
+
+        ec = np.array([1, 2, 5])
+        c = intersect1d(a, b, assume_unique=True)
+        assert_array_equal(c, ec)
+
+        # non-unique inputs
+        a = np.array([5, 5, 7, 1, 2])
+        b = np.array([2, 1, 4, 3, 3, 1, 5])
+
+        ed = np.array([1, 2, 5])
+        c = intersect1d(a, b)
+        assert_array_equal(c, ed)
+        assert_array_equal([], intersect1d([], []))
+
+    def test_intersect1d_array_like(self):
+        # See gh-11772
+        class Test:
+            def __array__(self, dtype=None, copy=None):
+                return np.arange(3)
+
+        a = Test()
+        res = intersect1d(a, a)
+        assert_array_equal(res, a)
+        res = intersect1d([1, 2, 3], [1, 2, 3])
+        assert_array_equal(res, [1, 2, 3])
+
+    def test_intersect1d_indices(self):
+        # unique inputs
+        a = np.array([1, 2, 3, 4])
+        b = np.array([2, 1, 4, 6])
+        c, i1, i2 = intersect1d(a, b, assume_unique=True, return_indices=True)
+        ee = np.array([1, 2, 4])
+        assert_array_equal(c, ee)
+        assert_array_equal(a[i1], ee)
+        assert_array_equal(b[i2], ee)
+
+        # non-unique inputs
+        a = np.array([1, 2, 2, 3, 4, 3, 2])
+        b = np.array([1, 8, 4, 2, 2, 3, 2, 3])
+        c, i1, i2 = intersect1d(a, b, return_indices=True)
+        ef = np.array([1, 2, 3, 4])
+        assert_array_equal(c, ef)
+        assert_array_equal(a[i1], ef)
+        assert_array_equal(b[i2], ef)
+
+        # non1d, unique inputs
+        a = np.array([[2, 4, 5, 6], [7, 8, 1, 15]])
+        b = np.array([[3, 2, 7, 6], [10, 12, 8, 9]])
+        c, i1, i2 = intersect1d(a, b, assume_unique=True, return_indices=True)
+        ui1 = np.unravel_index(i1, a.shape)
+        ui2 = np.unravel_index(i2, b.shape)
+        ea = np.array([2, 6, 7, 8])
+        assert_array_equal(ea, a[ui1])
+        assert_array_equal(ea, b[ui2])
+
+        # non1d, not assumed to be uniqueinputs
+        a = np.array([[2, 4, 5, 6, 6], [4, 7, 8, 7, 2]])
+        b = np.array([[3, 2, 7, 7], [10, 12, 8, 7]])
+        c, i1, i2 = intersect1d(a, b, return_indices=True)
+        ui1 = np.unravel_index(i1, a.shape)
+        ui2 = np.unravel_index(i2, b.shape)
+        ea = np.array([2, 7, 8])
+        assert_array_equal(ea, a[ui1])
+        assert_array_equal(ea, b[ui2])
+
+    def test_setxor1d(self):
+        a = np.array([5, 7, 1, 2])
+        b = np.array([2, 4, 3, 1, 5])
+
+        ec = np.array([3, 4, 7])
+        c = setxor1d(a, b)
+        assert_array_equal(c, ec)
+
+        a = np.array([1, 2, 3])
+        b = np.array([6, 5, 4])
+
+        ec = np.array([1, 2, 3, 4, 5, 6])
+        c = setxor1d(a, b)
+        assert_array_equal(c, ec)
+
+        a = np.array([1, 8, 2, 3])
+        b = np.array([6, 5, 4, 8])
+
+        ec = np.array([1, 2, 3, 4, 5, 6])
+        c = setxor1d(a, b)
+        assert_array_equal(c, ec)
+
+        assert_array_equal([], setxor1d([], []))
+
+    def test_setxor1d_unique(self):
+        a = np.array([1, 8, 2, 3])
+        b = np.array([6, 5, 4, 8])
+
+        ec = np.array([1, 2, 3, 4, 5, 6])
+        c = setxor1d(a, b, assume_unique=True)
+        assert_array_equal(c, ec)
+
+        a = np.array([[1], [8], [2], [3]])
+        b = np.array([[6, 5], [4, 8]])
+
+        ec = np.array([1, 2, 3, 4, 5, 6])
+        c = setxor1d(a, b, assume_unique=True)
+        assert_array_equal(c, ec)
+
+    def test_ediff1d(self):
+        zero_elem = np.array([])
+        one_elem = np.array([1])
+        two_elem = np.array([1, 2])
+
+        assert_array_equal([], ediff1d(zero_elem))
+        assert_array_equal([0], ediff1d(zero_elem, to_begin=0))
+        assert_array_equal([0], ediff1d(zero_elem, to_end=0))
+        assert_array_equal([-1, 0], ediff1d(zero_elem, to_begin=-1, to_end=0))
+        assert_array_equal([], ediff1d(one_elem))
+        assert_array_equal([1], ediff1d(two_elem))
+        assert_array_equal([7, 1, 9], ediff1d(two_elem, to_begin=7, to_end=9))
+        assert_array_equal([5, 6, 1, 7, 8],
+                           ediff1d(two_elem, to_begin=[5, 6], to_end=[7, 8]))
+        assert_array_equal([1, 9], ediff1d(two_elem, to_end=9))
+        assert_array_equal([1, 7, 8], ediff1d(two_elem, to_end=[7, 8]))
+        assert_array_equal([7, 1], ediff1d(two_elem, to_begin=7))
+        assert_array_equal([5, 6, 1], ediff1d(two_elem, to_begin=[5, 6]))
+
+    @pytest.mark.parametrize("ary, prepend, append, expected", [
+        # should fail because trying to cast
+        # np.nan standard floating point value
+        # into an integer array:
+        (np.array([1, 2, 3], dtype=np.int64),
+         None,
+         np.nan,
+         'to_end'),
+        # should fail because attempting
+        # to downcast to int type:
+        (np.array([1, 2, 3], dtype=np.int64),
+         np.array([5, 7, 2], dtype=np.float32),
+         None,
+         'to_begin'),
+        # should fail because attempting to cast
+        # two special floating point values
+        # to integers (on both sides of ary),
+        # `to_begin` is in the error message as the impl checks this first:
+        (np.array([1., 3., 9.], dtype=np.int8),
+         np.nan,
+         np.nan,
+         'to_begin'),
+         ])
+    def test_ediff1d_forbidden_type_casts(self, ary, prepend, append, expected):
+        # verify resolution of gh-11490
+
+        # specifically, raise an appropriate
+        # Exception when attempting to append or
+        # prepend with an incompatible type
+        msg = 'dtype of `{}` must be compatible'.format(expected)
+        with assert_raises_regex(TypeError, msg):
+            ediff1d(ary=ary,
+                    to_end=append,
+                    to_begin=prepend)
+
+    @pytest.mark.parametrize(
+        "ary,prepend,append,expected",
+        [
+         (np.array([1, 2, 3], dtype=np.int16),
+          2**16,  # will be cast to int16 under same kind rule.
+          2**16 + 4,
+          np.array([0, 1, 1, 4], dtype=np.int16)),
+         (np.array([1, 2, 3], dtype=np.float32),
+          np.array([5], dtype=np.float64),
+          None,
+          np.array([5, 1, 1], dtype=np.float32)),
+         (np.array([1, 2, 3], dtype=np.int32),
+          0,
+          0,
+          np.array([0, 1, 1, 0], dtype=np.int32)),
+         (np.array([1, 2, 3], dtype=np.int64),
+          3,
+          -9,
+          np.array([3, 1, 1, -9], dtype=np.int64)),
+        ]
+    )
+    def test_ediff1d_scalar_handling(self,
+                                     ary,
+                                     prepend,
+                                     append,
+                                     expected):
+        # maintain backwards-compatibility
+        # of scalar prepend / append behavior
+        # in ediff1d following fix for gh-11490
+        actual = np.ediff1d(ary=ary,
+                            to_end=append,
+                            to_begin=prepend)
+        assert_equal(actual, expected)
+        assert actual.dtype == expected.dtype
+
+    @pytest.mark.parametrize("kind", [None, "sort", "table"])
+    def test_isin(self, kind):
+        def _isin_slow(a, b):
+            b = np.asarray(b).flatten().tolist()
+            return a in b
+        isin_slow = np.vectorize(_isin_slow, otypes=[bool], excluded={1})
+
+        def assert_isin_equal(a, b):
+            x = isin(a, b, kind=kind)
+            y = isin_slow(a, b)
+            assert_array_equal(x, y)
+
+        # multidimensional arrays in both arguments
+        a = np.arange(24).reshape([2, 3, 4])
+        b = np.array([[10, 20, 30], [0, 1, 3], [11, 22, 33]])
+        assert_isin_equal(a, b)
+
+        # array-likes as both arguments
+        c = [(9, 8), (7, 6)]
+        d = (9, 7)
+        assert_isin_equal(c, d)
+
+        # zero-d array:
+        f = np.array(3)
+        assert_isin_equal(f, b)
+        assert_isin_equal(a, f)
+        assert_isin_equal(f, f)
+
+        # scalar:
+        assert_isin_equal(5, b)
+        assert_isin_equal(a, 6)
+        assert_isin_equal(5, 6)
+
+        # empty array-like:
+        if kind != "table":
+            # An empty list will become float64,
+            # which is invalid for kind="table"
+            x = []
+            assert_isin_equal(x, b)
+            assert_isin_equal(a, x)
+            assert_isin_equal(x, x)
+
+        # empty array with various types:
+        for dtype in [bool, np.int64, np.float64]:
+            if kind == "table" and dtype == np.float64:
+                continue
+
+            if dtype in {np.int64, np.float64}:
+                ar = np.array([10, 20, 30], dtype=dtype)
+            elif dtype in {bool}:
+                ar = np.array([True, False, False])
+
+            empty_array = np.array([], dtype=dtype)
+
+            assert_isin_equal(empty_array, ar)
+            assert_isin_equal(ar, empty_array)
+            assert_isin_equal(empty_array, empty_array)
+
+    @pytest.mark.parametrize("kind", [None, "sort", "table"])
+    def test_isin_additional(self, kind):
+        # we use two different sizes for the b array here to test the
+        # two different paths in isin().
+        for mult in (1, 10):
+            # One check without np.array to make sure lists are handled correct
+            a = [5, 7, 1, 2]
+            b = [2, 4, 3, 1, 5] * mult
+            ec = np.array([True, False, True, True])
+            c = isin(a, b, assume_unique=True, kind=kind)
+            assert_array_equal(c, ec)
+
+            a[0] = 8
+            ec = np.array([False, False, True, True])
+            c = isin(a, b, assume_unique=True, kind=kind)
+            assert_array_equal(c, ec)
+
+            a[0], a[3] = 4, 8
+            ec = np.array([True, False, True, False])
+            c = isin(a, b, assume_unique=True, kind=kind)
+            assert_array_equal(c, ec)
+
+            a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5])
+            b = [2, 3, 4] * mult
+            ec = [False, True, False, True, True, True, True, True, True,
+                  False, True, False, False, False]
+            c = isin(a, b, kind=kind)
+            assert_array_equal(c, ec)
+
+            b = b + [5, 5, 4] * mult
+            ec = [True, True, True, True, True, True, True, True, True, True,
+                  True, False, True, True]
+            c = isin(a, b, kind=kind)
+            assert_array_equal(c, ec)
+
+            a = np.array([5, 7, 1, 2])
+            b = np.array([2, 4, 3, 1, 5] * mult)
+            ec = np.array([True, False, True, True])
+            c = isin(a, b, kind=kind)
+            assert_array_equal(c, ec)
+
+            a = np.array([5, 7, 1, 1, 2])
+            b = np.array([2, 4, 3, 3, 1, 5] * mult)
+            ec = np.array([True, False, True, True, True])
+            c = isin(a, b, kind=kind)
+            assert_array_equal(c, ec)
+
+            a = np.array([5, 5])
+            b = np.array([2, 2] * mult)
+            ec = np.array([False, False])
+            c = isin(a, b, kind=kind)
+            assert_array_equal(c, ec)
+
+        a = np.array([5])
+        b = np.array([2])
+        ec = np.array([False])
+        c = isin(a, b, kind=kind)
+        assert_array_equal(c, ec)
+
+        if kind in {None, "sort"}:
+            assert_array_equal(isin([], [], kind=kind), [])
+
+    def test_isin_char_array(self):
+        a = np.array(['a', 'b', 'c', 'd', 'e', 'c', 'e', 'b'])
+        b = np.array(['a', 'c'])
+
+        ec = np.array([True, False, True, False, False, True, False, False])
+        c = isin(a, b)
+
+        assert_array_equal(c, ec)
+
+    @pytest.mark.parametrize("kind", [None, "sort", "table"])
+    def test_isin_invert(self, kind):
+        "Test isin's invert parameter"
+        # We use two different sizes for the b array here to test the
+        # two different paths in isin().
+        for mult in (1, 10):
+            a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5])
+            b = [2, 3, 4] * mult
+            assert_array_equal(np.invert(isin(a, b, kind=kind)),
+                               isin(a, b, invert=True, kind=kind))
+
+        # float:
+        if kind in {None, "sort"}:
+            for mult in (1, 10):
+                a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5],
+                            dtype=np.float32)
+                b = [2, 3, 4] * mult
+                b = np.array(b, dtype=np.float32)
+                assert_array_equal(np.invert(isin(a, b, kind=kind)),
+                                   isin(a, b, invert=True, kind=kind))
+
+    def test_isin_hit_alternate_algorithm(self):
+        """Hit the standard isin code with integers"""
+        # Need extreme range to hit standard code
+        # This hits it without the use of kind='table'
+        a = np.array([5, 4, 5, 3, 4, 4, 1e9], dtype=np.int64)
+        b = np.array([2, 3, 4, 1e9], dtype=np.int64)
+        expected = np.array([0, 1, 0, 1, 1, 1, 1], dtype=bool)
+        assert_array_equal(expected, isin(a, b))
+        assert_array_equal(np.invert(expected), isin(a, b, invert=True))
+
+        a = np.array([5, 7, 1, 2], dtype=np.int64)
+        b = np.array([2, 4, 3, 1, 5, 1e9], dtype=np.int64)
+        ec = np.array([True, False, True, True])
+        c = isin(a, b, assume_unique=True)
+        assert_array_equal(c, ec)
+
+    @pytest.mark.parametrize("kind", [None, "sort", "table"])
+    def test_isin_boolean(self, kind):
+        """Test that isin works for boolean input"""
+        a = np.array([True, False])
+        b = np.array([False, False, False])
+        expected = np.array([False, True])
+        assert_array_equal(expected,
+                           isin(a, b, kind=kind))
+        assert_array_equal(np.invert(expected),
+                           isin(a, b, invert=True, kind=kind))
+
+    @pytest.mark.parametrize("kind", [None, "sort"])
+    def test_isin_timedelta(self, kind):
+        """Test that isin works for timedelta input"""
+        rstate = np.random.RandomState(0)
+        a = rstate.randint(0, 100, size=10)
+        b = rstate.randint(0, 100, size=10)
+        truth = isin(a, b)
+        a_timedelta = a.astype("timedelta64[s]")
+        b_timedelta = b.astype("timedelta64[s]")
+        assert_array_equal(truth, isin(a_timedelta, b_timedelta, kind=kind))
+
+    def test_isin_table_timedelta_fails(self):
+        a = np.array([0, 1, 2], dtype="timedelta64[s]")
+        b = a
+        # Make sure it raises a value error:
+        with pytest.raises(ValueError):
+            isin(a, b, kind="table")
+
+    @pytest.mark.parametrize(
+        "dtype1,dtype2",
+        [
+            (np.int8, np.int16),
+            (np.int16, np.int8),
+            (np.uint8, np.uint16),
+            (np.uint16, np.uint8),
+            (np.uint8, np.int16),
+            (np.int16, np.uint8),
+            (np.uint64, np.int64),
+        ]
+    )
+    @pytest.mark.parametrize("kind", [None, "sort", "table"])
+    def test_isin_mixed_dtype(self, dtype1, dtype2, kind):
+        """Test that isin works as expected for mixed dtype input."""
+        is_dtype2_signed = np.issubdtype(dtype2, np.signedinteger)
+        ar1 = np.array([0, 0, 1, 1], dtype=dtype1)
+
+        if is_dtype2_signed:
+            ar2 = np.array([-128, 0, 127], dtype=dtype2)
+        else:
+            ar2 = np.array([127, 0, 255], dtype=dtype2)
+
+        expected = np.array([True, True, False, False])
+
+        expect_failure = kind == "table" and (
+            dtype1 == np.int16 and dtype2 == np.int8)
+
+        if expect_failure:
+            with pytest.raises(RuntimeError, match="exceed the maximum"):
+                isin(ar1, ar2, kind=kind)
+        else:
+            assert_array_equal(isin(ar1, ar2, kind=kind), expected)
+
+    @pytest.mark.parametrize("data", [
+        np.array([2**63, 2**63+1], dtype=np.uint64),
+        np.array([-2**62, -2**62-1], dtype=np.int64),
+    ])
+    @pytest.mark.parametrize("kind", [None, "sort", "table"])
+    def test_isin_mixed_huge_vals(self, kind, data):
+        """Test values outside intp range (negative ones if 32bit system)"""
+        query = data[1]
+        res = np.isin(data, query, kind=kind)
+        assert_array_equal(res, [False, True])
+        # Also check that nothing weird happens for values can't possibly
+        # in range.
+        data = data.astype(np.int32)  # clearly different values
+        res = np.isin(data, query, kind=kind)
+        assert_array_equal(res, [False, False])
+
+    @pytest.mark.parametrize("kind", [None, "sort", "table"])
+    def test_isin_mixed_boolean(self, kind):
+        """Test that isin works as expected for bool/int input."""
+        for dtype in np.typecodes["AllInteger"]:
+            a = np.array([True, False, False], dtype=bool)
+            b = np.array([0, 0, 0, 0], dtype=dtype)
+            expected = np.array([False, True, True], dtype=bool)
+            assert_array_equal(isin(a, b, kind=kind), expected)
+
+            a, b = b, a
+            expected = np.array([True, True, True, True], dtype=bool)
+            assert_array_equal(isin(a, b, kind=kind), expected)
+
+    def test_isin_first_array_is_object(self):
+        ar1 = [None]
+        ar2 = np.array([1]*10)
+        expected = np.array([False])
+        result = np.isin(ar1, ar2)
+        assert_array_equal(result, expected)
+
+    def test_isin_second_array_is_object(self):
+        ar1 = 1
+        ar2 = np.array([None]*10)
+        expected = np.array([False])
+        result = np.isin(ar1, ar2)
+        assert_array_equal(result, expected)
+
+    def test_isin_both_arrays_are_object(self):
+        ar1 = [None]
+        ar2 = np.array([None]*10)
+        expected = np.array([True])
+        result = np.isin(ar1, ar2)
+        assert_array_equal(result, expected)
+
+    def test_isin_both_arrays_have_structured_dtype(self):
+        # Test arrays of a structured data type containing an integer field
+        # and a field of dtype `object` allowing for arbitrary Python objects
+        dt = np.dtype([('field1', int), ('field2', object)])
+        ar1 = np.array([(1, None)], dtype=dt)
+        ar2 = np.array([(1, None)]*10, dtype=dt)
+        expected = np.array([True])
+        result = np.isin(ar1, ar2)
+        assert_array_equal(result, expected)
+
+    def test_isin_with_arrays_containing_tuples(self):
+        ar1 = np.array([(1,), 2], dtype=object)
+        ar2 = np.array([(1,), 2], dtype=object)
+        expected = np.array([True, True])
+        result = np.isin(ar1, ar2)
+        assert_array_equal(result, expected)
+        result = np.isin(ar1, ar2, invert=True)
+        assert_array_equal(result, np.invert(expected))
+
+        # An integer is added at the end of the array to make sure
+        # that the array builder will create the array with tuples
+        # and after it's created the integer is removed.
+        # There's a bug in the array constructor that doesn't handle
+        # tuples properly and adding the integer fixes that.
+        ar1 = np.array([(1,), (2, 1), 1], dtype=object)
+        ar1 = ar1[:-1]
+        ar2 = np.array([(1,), (2, 1), 1], dtype=object)
+        ar2 = ar2[:-1]
+        expected = np.array([True, True])
+        result = np.isin(ar1, ar2)
+        assert_array_equal(result, expected)
+        result = np.isin(ar1, ar2, invert=True)
+        assert_array_equal(result, np.invert(expected))
+
+        ar1 = np.array([(1,), (2, 3), 1], dtype=object)
+        ar1 = ar1[:-1]
+        ar2 = np.array([(1,), 2], dtype=object)
+        expected = np.array([True, False])
+        result = np.isin(ar1, ar2)
+        assert_array_equal(result, expected)
+        result = np.isin(ar1, ar2, invert=True)
+        assert_array_equal(result, np.invert(expected))
+
+    def test_isin_errors(self):
+        """Test that isin raises expected errors."""
+
+        # Error 1: `kind` is not one of 'sort' 'table' or None.
+        ar1 = np.array([1, 2, 3, 4, 5])
+        ar2 = np.array([2, 4, 6, 8, 10])
+        assert_raises(ValueError, isin, ar1, ar2, kind='quicksort')
+
+        # Error 2: `kind="table"` does not work for non-integral arrays.
+        obj_ar1 = np.array([1, 'a', 3, 'b', 5], dtype=object)
+        obj_ar2 = np.array([1, 'a', 3, 'b', 5], dtype=object)
+        assert_raises(ValueError, isin, obj_ar1, obj_ar2, kind='table')
+
+        for dtype in [np.int32, np.int64]:
+            ar1 = np.array([-1, 2, 3, 4, 5], dtype=dtype)
+            # The range of this array will overflow:
+            overflow_ar2 = np.array([-1, np.iinfo(dtype).max], dtype=dtype)
+
+            # Error 3: `kind="table"` will trigger a runtime error
+            #  if there is an integer overflow expected when computing the
+            #  range of ar2
+            assert_raises(
+                RuntimeError,
+                isin, ar1, overflow_ar2, kind='table'
+            )
+
+            # Non-error: `kind=None` will *not* trigger a runtime error
+            #  if there is an integer overflow, it will switch to
+            #  the `sort` algorithm.
+            result = np.isin(ar1, overflow_ar2, kind=None)
+            assert_array_equal(result, [True] + [False] * 4)
+            result = np.isin(ar1, overflow_ar2, kind='sort')
+            assert_array_equal(result, [True] + [False] * 4)
+
+    def test_union1d(self):
+        a = np.array([5, 4, 7, 1, 2])
+        b = np.array([2, 4, 3, 3, 2, 1, 5])
+
+        ec = np.array([1, 2, 3, 4, 5, 7])
+        c = union1d(a, b)
+        assert_array_equal(c, ec)
+
+        # Tests gh-10340, arguments to union1d should be
+        # flattened if they are not already 1D
+        x = np.array([[0, 1, 2], [3, 4, 5]])
+        y = np.array([0, 1, 2, 3, 4])
+        ez = np.array([0, 1, 2, 3, 4, 5])
+        z = union1d(x, y)
+        assert_array_equal(z, ez)
+
+        assert_array_equal([], union1d([], []))
+
+    def test_setdiff1d(self):
+        a = np.array([6, 5, 4, 7, 1, 2, 7, 4])
+        b = np.array([2, 4, 3, 3, 2, 1, 5])
+
+        ec = np.array([6, 7])
+        c = setdiff1d(a, b)
+        assert_array_equal(c, ec)
+
+        a = np.arange(21)
+        b = np.arange(19)
+        ec = np.array([19, 20])
+        c = setdiff1d(a, b)
+        assert_array_equal(c, ec)
+
+        assert_array_equal([], setdiff1d([], []))
+        a = np.array((), np.uint32)
+        assert_equal(setdiff1d(a, []).dtype, np.uint32)
+
+    def test_setdiff1d_unique(self):
+        a = np.array([3, 2, 1])
+        b = np.array([7, 5, 2])
+        expected = np.array([3, 1])
+        actual = setdiff1d(a, b, assume_unique=True)
+        assert_equal(actual, expected)
+
+    def test_setdiff1d_char_array(self):
+        a = np.array(['a', 'b', 'c'])
+        b = np.array(['a', 'b', 's'])
+        assert_array_equal(setdiff1d(a, b), np.array(['c']))
+
+    def test_manyways(self):
+        a = np.array([5, 7, 1, 2, 8])
+        b = np.array([9, 8, 2, 4, 3, 1, 5])
+
+        c1 = setxor1d(a, b)
+        aux1 = intersect1d(a, b)
+        aux2 = union1d(a, b)
+        c2 = setdiff1d(aux2, aux1)
+        assert_array_equal(c1, c2)
+
+
+class TestUnique:
+
+    def test_unique_1d(self):
+
+        def check_all(a, b, i1, i2, c, dt):
+            base_msg = 'check {0} failed for type {1}'
+
+            msg = base_msg.format('values', dt)
+            v = unique(a)
+            assert_array_equal(v, b, msg)
+
+            msg = base_msg.format('return_index', dt)
+            v, j = unique(a, True, False, False)
+            assert_array_equal(v, b, msg)
+            assert_array_equal(j, i1, msg)
+
+            msg = base_msg.format('return_inverse', dt)
+            v, j = unique(a, False, True, False)
+            assert_array_equal(v, b, msg)
+            assert_array_equal(j, i2, msg)
+
+            msg = base_msg.format('return_counts', dt)
+            v, j = unique(a, False, False, True)
+            assert_array_equal(v, b, msg)
+            assert_array_equal(j, c, msg)
+
+            msg = base_msg.format('return_index and return_inverse', dt)
+            v, j1, j2 = unique(a, True, True, False)
+            assert_array_equal(v, b, msg)
+            assert_array_equal(j1, i1, msg)
+            assert_array_equal(j2, i2, msg)
+
+            msg = base_msg.format('return_index and return_counts', dt)
+            v, j1, j2 = unique(a, True, False, True)
+            assert_array_equal(v, b, msg)
+            assert_array_equal(j1, i1, msg)
+            assert_array_equal(j2, c, msg)
+
+            msg = base_msg.format('return_inverse and return_counts', dt)
+            v, j1, j2 = unique(a, False, True, True)
+            assert_array_equal(v, b, msg)
+            assert_array_equal(j1, i2, msg)
+            assert_array_equal(j2, c, msg)
+
+            msg = base_msg.format(('return_index, return_inverse '
+                                   'and return_counts'), dt)
+            v, j1, j2, j3 = unique(a, True, True, True)
+            assert_array_equal(v, b, msg)
+            assert_array_equal(j1, i1, msg)
+            assert_array_equal(j2, i2, msg)
+            assert_array_equal(j3, c, msg)
+
+        a = [5, 7, 1, 2, 1, 5, 7]*10
+        b = [1, 2, 5, 7]
+        i1 = [2, 3, 0, 1]
+        i2 = [2, 3, 0, 1, 0, 2, 3]*10
+        c = np.multiply([2, 1, 2, 2], 10)
+
+        # test for numeric arrays
+        types = []
+        types.extend(np.typecodes['AllInteger'])
+        types.extend(np.typecodes['AllFloat'])
+        types.append('datetime64[D]')
+        types.append('timedelta64[D]')
+        for dt in types:
+            aa = np.array(a, dt)
+            bb = np.array(b, dt)
+            check_all(aa, bb, i1, i2, c, dt)
+
+        # test for object arrays
+        dt = 'O'
+        aa = np.empty(len(a), dt)
+        aa[:] = a
+        bb = np.empty(len(b), dt)
+        bb[:] = b
+        check_all(aa, bb, i1, i2, c, dt)
+
+        # test for structured arrays
+        dt = [('', 'i'), ('', 'i')]
+        aa = np.array(list(zip(a, a)), dt)
+        bb = np.array(list(zip(b, b)), dt)
+        check_all(aa, bb, i1, i2, c, dt)
+
+        # test for ticket #2799
+        aa = [1. + 0.j, 1 - 1.j, 1]
+        assert_array_equal(np.unique(aa), [1. - 1.j, 1. + 0.j])
+
+        # test for ticket #4785
+        a = [(1, 2), (1, 2), (2, 3)]
+        unq = [1, 2, 3]
+        inv = [[0, 1], [0, 1], [1, 2]]
+        a1 = unique(a)
+        assert_array_equal(a1, unq)
+        a2, a2_inv = unique(a, return_inverse=True)
+        assert_array_equal(a2, unq)
+        assert_array_equal(a2_inv, inv)
+
+        # test for chararrays with return_inverse (gh-5099)
+        a = np.char.chararray(5)
+        a[...] = ''
+        a2, a2_inv = np.unique(a, return_inverse=True)
+        assert_array_equal(a2_inv, np.zeros(5))
+
+        # test for ticket #9137
+        a = []
+        a1_idx = np.unique(a, return_index=True)[1]
+        a2_inv = np.unique(a, return_inverse=True)[1]
+        a3_idx, a3_inv = np.unique(a, return_index=True,
+                                   return_inverse=True)[1:]
+        assert_equal(a1_idx.dtype, np.intp)
+        assert_equal(a2_inv.dtype, np.intp)
+        assert_equal(a3_idx.dtype, np.intp)
+        assert_equal(a3_inv.dtype, np.intp)
+
+        # test for ticket 2111 - float
+        a = [2.0, np.nan, 1.0, np.nan]
+        ua = [1.0, 2.0, np.nan]
+        ua_idx = [2, 0, 1]
+        ua_inv = [1, 2, 0, 2]
+        ua_cnt = [1, 1, 2]
+        assert_equal(np.unique(a), ua)
+        assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
+        assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
+        assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
+
+        # test for ticket 2111 - complex
+        a = [2.0-1j, np.nan, 1.0+1j, complex(0.0, np.nan), complex(1.0, np.nan)]
+        ua = [1.0+1j, 2.0-1j, complex(0.0, np.nan)]
+        ua_idx = [2, 0, 3]
+        ua_inv = [1, 2, 0, 2, 2]
+        ua_cnt = [1, 1, 3]
+        assert_equal(np.unique(a), ua)
+        assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
+        assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
+        assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
+
+        # test for ticket 2111 - datetime64
+        nat = np.datetime64('nat')
+        a = [np.datetime64('2020-12-26'), nat, np.datetime64('2020-12-24'), nat]
+        ua = [np.datetime64('2020-12-24'), np.datetime64('2020-12-26'), nat]
+        ua_idx = [2, 0, 1]
+        ua_inv = [1, 2, 0, 2]
+        ua_cnt = [1, 1, 2]
+        assert_equal(np.unique(a), ua)
+        assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
+        assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
+        assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
+
+        # test for ticket 2111 - timedelta
+        nat = np.timedelta64('nat')
+        a = [np.timedelta64(1, 'D'), nat, np.timedelta64(1, 'h'), nat]
+        ua = [np.timedelta64(1, 'h'), np.timedelta64(1, 'D'), nat]
+        ua_idx = [2, 0, 1]
+        ua_inv = [1, 2, 0, 2]
+        ua_cnt = [1, 1, 2]
+        assert_equal(np.unique(a), ua)
+        assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
+        assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
+        assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
+
+        # test for gh-19300
+        all_nans = [np.nan] * 4
+        ua = [np.nan]
+        ua_idx = [0]
+        ua_inv = [0, 0, 0, 0]
+        ua_cnt = [4]
+        assert_equal(np.unique(all_nans), ua)
+        assert_equal(np.unique(all_nans, return_index=True), (ua, ua_idx))
+        assert_equal(np.unique(all_nans, return_inverse=True), (ua, ua_inv))
+        assert_equal(np.unique(all_nans, return_counts=True), (ua, ua_cnt))
+
+    def test_unique_axis_errors(self):
+        assert_raises(TypeError, self._run_axis_tests, object)
+        assert_raises(TypeError, self._run_axis_tests,
+                      [('a', int), ('b', object)])
+
+        assert_raises(AxisError, unique, np.arange(10), axis=2)
+        assert_raises(AxisError, unique, np.arange(10), axis=-2)
+
+    def test_unique_axis_list(self):
+        msg = "Unique failed on list of lists"
+        inp = [[0, 1, 0], [0, 1, 0]]
+        inp_arr = np.asarray(inp)
+        assert_array_equal(unique(inp, axis=0), unique(inp_arr, axis=0), msg)
+        assert_array_equal(unique(inp, axis=1), unique(inp_arr, axis=1), msg)
+
+    def test_unique_axis(self):
+        types = []
+        types.extend(np.typecodes['AllInteger'])
+        types.extend(np.typecodes['AllFloat'])
+        types.append('datetime64[D]')
+        types.append('timedelta64[D]')
+        types.append([('a', int), ('b', int)])
+        types.append([('a', int), ('b', float)])
+
+        for dtype in types:
+            self._run_axis_tests(dtype)
+
+        msg = 'Non-bitwise-equal booleans test failed'
+        data = np.arange(10, dtype=np.uint8).reshape(-1, 2).view(bool)
+        result = np.array([[False, True], [True, True]], dtype=bool)
+        assert_array_equal(unique(data, axis=0), result, msg)
+
+        msg = 'Negative zero equality test failed'
+        data = np.array([[-0.0, 0.0], [0.0, -0.0], [-0.0, 0.0], [0.0, -0.0]])
+        result = np.array([[-0.0, 0.0]])
+        assert_array_equal(unique(data, axis=0), result, msg)
+
+    @pytest.mark.parametrize("axis", [0, -1])
+    def test_unique_1d_with_axis(self, axis):
+        x = np.array([4, 3, 2, 3, 2, 1, 2, 2])
+        uniq = unique(x, axis=axis)
+        assert_array_equal(uniq, [1, 2, 3, 4])
+
+    @pytest.mark.parametrize("axis", [None, 0, -1])
+    def test_unique_inverse_with_axis(self, axis):
+        x = np.array([[4, 4, 3], [2, 2, 1], [2, 2, 1], [4, 4, 3]])
+        uniq, inv = unique(x, return_inverse=True, axis=axis)
+        assert_equal(inv.ndim, x.ndim if axis is None else 1)
+        assert_array_equal(x, np.take(uniq, inv, axis=axis))
+
+    def test_unique_axis_zeros(self):
+        # issue 15559
+        single_zero = np.empty(shape=(2, 0), dtype=np.int8)
+        uniq, idx, inv, cnt = unique(single_zero, axis=0, return_index=True,
+                                     return_inverse=True, return_counts=True)
+
+        # there's 1 element of shape (0,) along axis 0
+        assert_equal(uniq.dtype, single_zero.dtype)
+        assert_array_equal(uniq, np.empty(shape=(1, 0)))
+        assert_array_equal(idx, np.array([0]))
+        assert_array_equal(inv, np.array([0, 0]))
+        assert_array_equal(cnt, np.array([2]))
+
+        # there's 0 elements of shape (2,) along axis 1
+        uniq, idx, inv, cnt = unique(single_zero, axis=1, return_index=True,
+                                     return_inverse=True, return_counts=True)
+
+        assert_equal(uniq.dtype, single_zero.dtype)
+        assert_array_equal(uniq, np.empty(shape=(2, 0)))
+        assert_array_equal(idx, np.array([]))
+        assert_array_equal(inv, np.array([]))
+        assert_array_equal(cnt, np.array([]))
+
+        # test a "complicated" shape
+        shape = (0, 2, 0, 3, 0, 4, 0)
+        multiple_zeros = np.empty(shape=shape)
+        for axis in range(len(shape)):
+            expected_shape = list(shape)
+            if shape[axis] == 0:
+                expected_shape[axis] = 0
+            else:
+                expected_shape[axis] = 1
+
+            assert_array_equal(unique(multiple_zeros, axis=axis),
+                               np.empty(shape=expected_shape))
+
+    def test_unique_masked(self):
+        # issue 8664
+        x = np.array([64, 0, 1, 2, 3, 63, 63, 0, 0, 0, 1, 2, 0, 63, 0],
+                     dtype='uint8')
+        y = np.ma.masked_equal(x, 0)
+
+        v = np.unique(y)
+        v2, i, c = np.unique(y, return_index=True, return_counts=True)
+
+        msg = 'Unique returned different results when asked for index'
+        assert_array_equal(v.data, v2.data, msg)
+        assert_array_equal(v.mask, v2.mask, msg)
+
+    def test_unique_sort_order_with_axis(self):
+        # These tests fail if sorting along axis is done by treating subarrays
+        # as unsigned byte strings.  See gh-10495.
+        fmt = "sort order incorrect for integer type '%s'"
+        for dt in 'bhilq':
+            a = np.array([[-1], [0]], dt)
+            b = np.unique(a, axis=0)
+            assert_array_equal(a, b, fmt % dt)
+
+    def _run_axis_tests(self, dtype):
+        data = np.array([[0, 1, 0, 0],
+                         [1, 0, 0, 0],
+                         [0, 1, 0, 0],
+                         [1, 0, 0, 0]]).astype(dtype)
+
+        msg = 'Unique with 1d array and axis=0 failed'
+        result = np.array([0, 1])
+        assert_array_equal(unique(data), result.astype(dtype), msg)
+
+        msg = 'Unique with 2d array and axis=0 failed'
+        result = np.array([[0, 1, 0, 0], [1, 0, 0, 0]])
+        assert_array_equal(unique(data, axis=0), result.astype(dtype), msg)
+
+        msg = 'Unique with 2d array and axis=1 failed'
+        result = np.array([[0, 0, 1], [0, 1, 0], [0, 0, 1], [0, 1, 0]])
+        assert_array_equal(unique(data, axis=1), result.astype(dtype), msg)
+
+        msg = 'Unique with 3d array and axis=2 failed'
+        data3d = np.array([[[1, 1],
+                            [1, 0]],
+                           [[0, 1],
+                            [0, 0]]]).astype(dtype)
+        result = np.take(data3d, [1, 0], axis=2)
+        assert_array_equal(unique(data3d, axis=2), result, msg)
+
+        uniq, idx, inv, cnt = unique(data, axis=0, return_index=True,
+                                     return_inverse=True, return_counts=True)
+        msg = "Unique's return_index=True failed with axis=0"
+        assert_array_equal(data[idx], uniq, msg)
+        msg = "Unique's return_inverse=True failed with axis=0"
+        assert_array_equal(np.take(uniq, inv, axis=0), data)
+        msg = "Unique's return_counts=True failed with axis=0"
+        assert_array_equal(cnt, np.array([2, 2]), msg)
+
+        uniq, idx, inv, cnt = unique(data, axis=1, return_index=True,
+                                     return_inverse=True, return_counts=True)
+        msg = "Unique's return_index=True failed with axis=1"
+        assert_array_equal(data[:, idx], uniq)
+        msg = "Unique's return_inverse=True failed with axis=1"
+        assert_array_equal(np.take(uniq, inv, axis=1), data)
+        msg = "Unique's return_counts=True failed with axis=1"
+        assert_array_equal(cnt, np.array([2, 1, 1]), msg)
+
+    def test_unique_nanequals(self):
+        # issue 20326
+        a = np.array([1, 1, np.nan, np.nan, np.nan])
+        unq = np.unique(a)
+        not_unq = np.unique(a, equal_nan=False)
+        assert_array_equal(unq, np.array([1, np.nan]))
+        assert_array_equal(not_unq, np.array([1, np.nan, np.nan, np.nan]))
+
+    def test_unique_array_api_functions(self):
+        arr = np.array([np.nan, 1, 4, 1, 3, 4, np.nan, 5, 1])
+
+        for res_unique_array_api, res_unique in [
+            (
+                np.unique_values(arr),
+                np.unique(arr, equal_nan=False)
+            ),
+            (
+                np.unique_counts(arr),
+                np.unique(arr, return_counts=True, equal_nan=False)
+            ),
+            (
+                np.unique_inverse(arr),
+                np.unique(arr, return_inverse=True, equal_nan=False)
+            ),
+            (
+                np.unique_all(arr),
+                np.unique(
+                    arr,
+                    return_index=True,
+                    return_inverse=True,
+                    return_counts=True,
+                    equal_nan=False
+                )
+            )
+        ]:
+            assert len(res_unique_array_api) == len(res_unique)
+            for actual, expected in zip(res_unique_array_api, res_unique):
+                assert_array_equal(actual, expected)
+
+    def test_unique_inverse_shape(self):
+        # Regression test for https://github.com/numpy/numpy/issues/25552
+        arr = np.array([[1, 2, 3], [2, 3, 1]])
+        expected_values, expected_inverse = np.unique(arr, return_inverse=True)
+        expected_inverse = expected_inverse.reshape(arr.shape)
+        for func in np.unique_inverse, np.unique_all:
+            result = func(arr)
+            assert_array_equal(expected_values, result.values)
+            assert_array_equal(expected_inverse, result.inverse_indices)
+            assert_array_equal(arr, result.values[result.inverse_indices])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arrayterator.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arrayterator.py
new file mode 100644
index 0000000000000000000000000000000000000000..c00ed13d7f3076d53ec080a46fe7e13ff7dfb5a2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_arrayterator.py
@@ -0,0 +1,46 @@
+from operator import mul
+from functools import reduce
+
+import numpy as np
+from numpy.random import randint
+from numpy.lib import Arrayterator
+from numpy.testing import assert_
+
+
+def test():
+    np.random.seed(np.arange(10))
+
+    # Create a random array
+    ndims = randint(5)+1
+    shape = tuple(randint(10)+1 for dim in range(ndims))
+    els = reduce(mul, shape)
+    a = np.arange(els)
+    a.shape = shape
+
+    buf_size = randint(2*els)
+    b = Arrayterator(a, buf_size)
+
+    # Check that each block has at most ``buf_size`` elements
+    for block in b:
+        assert_(len(block.flat) <= (buf_size or els))
+
+    # Check that all elements are iterated correctly
+    assert_(list(b.flat) == list(a.flat))
+
+    # Slice arrayterator
+    start = [randint(dim) for dim in shape]
+    stop = [randint(dim)+1 for dim in shape]
+    step = [randint(dim)+1 for dim in shape]
+    slice_ = tuple(slice(*t) for t in zip(start, stop, step))
+    c = b[slice_]
+    d = a[slice_]
+
+    # Check that each block has at most ``buf_size`` elements
+    for block in c:
+        assert_(len(block.flat) <= (buf_size or els))
+
+    # Check that the arrayterator is sliced correctly
+    assert_(np.all(c.__array__() == d))
+
+    # Check that all elements are iterated correctly
+    assert_(list(c.flat) == list(d.flat))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_format.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_format.py
new file mode 100644
index 0000000000000000000000000000000000000000..0cac8819f5fd3c36f7292da5029b2765d45f56bb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_format.py
@@ -0,0 +1,1026 @@
+# doctest
+r''' Test the .npy file format.
+
+Set up:
+
+    >>> import sys
+    >>> from io import BytesIO
+    >>> from numpy.lib import format
+    >>>
+    >>> scalars = [
+    ...     np.uint8,
+    ...     np.int8,
+    ...     np.uint16,
+    ...     np.int16,
+    ...     np.uint32,
+    ...     np.int32,
+    ...     np.uint64,
+    ...     np.int64,
+    ...     np.float32,
+    ...     np.float64,
+    ...     np.complex64,
+    ...     np.complex128,
+    ...     object,
+    ... ]
+    >>>
+    >>> basic_arrays = []
+    >>>
+    >>> for scalar in scalars:
+    ...     for endian in '<>':
+    ...         dtype = np.dtype(scalar).newbyteorder(endian)
+    ...         basic = np.arange(15).astype(dtype)
+    ...         basic_arrays.extend([
+    ...             np.array([], dtype=dtype),
+    ...             np.array(10, dtype=dtype),
+    ...             basic,
+    ...             basic.reshape((3,5)),
+    ...             basic.reshape((3,5)).T,
+    ...             basic.reshape((3,5))[::-1,::2],
+    ...         ])
+    ...
+    >>>
+    >>> Pdescr = [
+    ...     ('x', 'i4', (2,)),
+    ...     ('y', 'f8', (2, 2)),
+    ...     ('z', 'u1')]
+    >>>
+    >>>
+    >>> PbufferT = [
+    ...     ([3,2], [[6.,4.],[6.,4.]], 8),
+    ...     ([4,3], [[7.,5.],[7.,5.]], 9),
+    ...     ]
+    >>>
+    >>>
+    >>> Ndescr = [
+    ...     ('x', 'i4', (2,)),
+    ...     ('Info', [
+    ...         ('value', 'c16'),
+    ...         ('y2', 'f8'),
+    ...         ('Info2', [
+    ...             ('name', 'S2'),
+    ...             ('value', 'c16', (2,)),
+    ...             ('y3', 'f8', (2,)),
+    ...             ('z3', 'u4', (2,))]),
+    ...         ('name', 'S2'),
+    ...         ('z2', 'b1')]),
+    ...     ('color', 'S2'),
+    ...     ('info', [
+    ...         ('Name', 'U8'),
+    ...         ('Value', 'c16')]),
+    ...     ('y', 'f8', (2, 2)),
+    ...     ('z', 'u1')]
+    >>>
+    >>>
+    >>> NbufferT = [
+    ...     ([3,2], (6j, 6., ('nn', [6j,4j], [6.,4.], [1,2]), 'NN', True), 'cc', ('NN', 6j), [[6.,4.],[6.,4.]], 8),
+    ...     ([4,3], (7j, 7., ('oo', [7j,5j], [7.,5.], [2,1]), 'OO', False), 'dd', ('OO', 7j), [[7.,5.],[7.,5.]], 9),
+    ...     ]
+    >>>
+    >>>
+    >>> record_arrays = [
+    ...     np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('<')),
+    ...     np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('<')),
+    ...     np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('>')),
+    ...     np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('>')),
+    ... ]
+
+Test the magic string writing.
+
+    >>> format.magic(1, 0)
+    '\x93NUMPY\x01\x00'
+    >>> format.magic(0, 0)
+    '\x93NUMPY\x00\x00'
+    >>> format.magic(255, 255)
+    '\x93NUMPY\xff\xff'
+    >>> format.magic(2, 5)
+    '\x93NUMPY\x02\x05'
+
+Test the magic string reading.
+
+    >>> format.read_magic(BytesIO(format.magic(1, 0)))
+    (1, 0)
+    >>> format.read_magic(BytesIO(format.magic(0, 0)))
+    (0, 0)
+    >>> format.read_magic(BytesIO(format.magic(255, 255)))
+    (255, 255)
+    >>> format.read_magic(BytesIO(format.magic(2, 5)))
+    (2, 5)
+
+Test the header writing.
+
+    >>> for arr in basic_arrays + record_arrays:
+    ...     f = BytesIO()
+    ...     format.write_array_header_1_0(f, arr)   # XXX: arr is not a dict, items gets called on it
+    ...     print(repr(f.getvalue()))
+    ...
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '|u1', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '|u1', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '|i1', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '|i1', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'u2', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>u2', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'i2', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>i2', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'u4', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>u4', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'i4', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>i4', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'u8', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>u8', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'i8', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>i8', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'f4', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>f4', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'f8', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>f8', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'c8', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': '>c8', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'c16', 'fortran_order': False, 'shape': (0,)}             \n"
+    "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': ()}               \n"
+    "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': (15,)}            \n"
+    "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': (3, 5)}           \n"
+    "F\x00{'descr': '>c16', 'fortran_order': True, 'shape': (5, 3)}            \n"
+    "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': (3, 3)}           \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': 'O', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (0,)}              \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': ()}                \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (15,)}             \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 5)}            \n"
+    "F\x00{'descr': 'O', 'fortran_order': True, 'shape': (5, 3)}             \n"
+    "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 3)}            \n"
+    "v\x00{'descr': [('x', 'i4', (2,)), ('y', '>f8', (2, 2)), ('z', '|u1')],\n 'fortran_order': False,\n 'shape': (2,)}         \n"
+    "\x16\x02{'descr': [('x', '>i4', (2,)),\n           ('Info',\n            [('value', '>c16'),\n             ('y2', '>f8'),\n             ('Info2',\n              [('name', '|S2'),\n               ('value', '>c16', (2,)),\n               ('y3', '>f8', (2,)),\n               ('z3', '>u4', (2,))]),\n             ('name', '|S2'),\n             ('z2', '|b1')]),\n           ('color', '|S2'),\n           ('info', [('Name', '>U8'), ('Value', '>c16')]),\n           ('y', '>f8', (2, 2)),\n           ('z', '|u1')],\n 'fortran_order': False,\n 'shape': (2,)}      \n"
+'''
+import sys
+import os
+import warnings
+import pytest
+from io import BytesIO
+
+import numpy as np
+from numpy.testing import (
+    assert_, assert_array_equal, assert_raises, assert_raises_regex,
+    assert_warns, IS_PYPY, IS_WASM, IS_64BIT
+    )
+from numpy.testing._private.utils import requires_memory
+from numpy.lib import format
+
+
+# Generate some basic arrays to test with.
+scalars = [
+    np.uint8,
+    np.int8,
+    np.uint16,
+    np.int16,
+    np.uint32,
+    np.int32,
+    np.uint64,
+    np.int64,
+    np.float32,
+    np.float64,
+    np.complex64,
+    np.complex128,
+    object,
+]
+basic_arrays = []
+for scalar in scalars:
+    for endian in '<>':
+        dtype = np.dtype(scalar).newbyteorder(endian)
+        basic = np.arange(1500).astype(dtype)
+        basic_arrays.extend([
+            # Empty
+            np.array([], dtype=dtype),
+            # Rank-0
+            np.array(10, dtype=dtype),
+            # 1-D
+            basic,
+            # 2-D C-contiguous
+            basic.reshape((30, 50)),
+            # 2-D F-contiguous
+            basic.reshape((30, 50)).T,
+            # 2-D non-contiguous
+            basic.reshape((30, 50))[::-1, ::2],
+        ])
+
+# More complicated record arrays.
+# This is the structure of the table used for plain objects:
+#
+# +-+-+-+
+# |x|y|z|
+# +-+-+-+
+
+# Structure of a plain array description:
+Pdescr = [
+    ('x', 'i4', (2,)),
+    ('y', 'f8', (2, 2)),
+    ('z', 'u1')]
+
+# A plain list of tuples with values for testing:
+PbufferT = [
+    # x     y                  z
+    ([3, 2], [[6., 4.], [6., 4.]], 8),
+    ([4, 3], [[7., 5.], [7., 5.]], 9),
+    ]
+
+
+# This is the structure of the table used for nested objects (DON'T PANIC!):
+#
+# +-+---------------------------------+-----+----------+-+-+
+# |x|Info                             |color|info      |y|z|
+# | +-----+--+----------------+----+--+     +----+-----+ | |
+# | |value|y2|Info2           |name|z2|     |Name|Value| | |
+# | |     |  +----+-----+--+--+    |  |     |    |     | | |
+# | |     |  |name|value|y3|z3|    |  |     |    |     | | |
+# +-+-----+--+----+-----+--+--+----+--+-----+----+-----+-+-+
+#
+
+# The corresponding nested array description:
+Ndescr = [
+    ('x', 'i4', (2,)),
+    ('Info', [
+        ('value', 'c16'),
+        ('y2', 'f8'),
+        ('Info2', [
+            ('name', 'S2'),
+            ('value', 'c16', (2,)),
+            ('y3', 'f8', (2,)),
+            ('z3', 'u4', (2,))]),
+        ('name', 'S2'),
+        ('z2', 'b1')]),
+    ('color', 'S2'),
+    ('info', [
+        ('Name', 'U8'),
+        ('Value', 'c16')]),
+    ('y', 'f8', (2, 2)),
+    ('z', 'u1')]
+
+NbufferT = [
+    # x     Info                                                color info        y                  z
+    #       value y2 Info2                            name z2         Name Value
+    #                name   value    y3       z3
+    ([3, 2], (6j, 6., ('nn', [6j, 4j], [6., 4.], [1, 2]), 'NN', True),
+     'cc', ('NN', 6j), [[6., 4.], [6., 4.]], 8),
+    ([4, 3], (7j, 7., ('oo', [7j, 5j], [7., 5.], [2, 1]), 'OO', False),
+     'dd', ('OO', 7j), [[7., 5.], [7., 5.]], 9),
+    ]
+
+record_arrays = [
+    np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('<')),
+    np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('<')),
+    np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('>')),
+    np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('>')),
+    np.zeros(1, dtype=[('c', ('= (3, 12), reason="see gh-23988")
+@pytest.mark.xfail(IS_WASM, reason="Emscripten NODEFS has a buggy dup")
+def test_python2_python3_interoperability():
+    fname = 'win64python2.npy'
+    path = os.path.join(os.path.dirname(__file__), 'data', fname)
+    with pytest.warns(UserWarning, match="Reading.*this warning\\."):
+        data = np.load(path)
+    assert_array_equal(data, np.ones(2))
+
+
+def test_pickle_python2_python3():
+    # Test that loading object arrays saved on Python 2 works both on
+    # Python 2 and Python 3 and vice versa
+    data_dir = os.path.join(os.path.dirname(__file__), 'data')
+
+    expected = np.array([None, range, '\u512a\u826f',
+                         b'\xe4\xb8\x8d\xe8\x89\xaf'],
+                        dtype=object)
+
+    for fname in ['py2-np0-objarr.npy', 'py2-objarr.npy', 'py2-objarr.npz',
+                  'py3-objarr.npy', 'py3-objarr.npz']:
+        path = os.path.join(data_dir, fname)
+
+        for encoding in ['bytes', 'latin1']:
+            data_f = np.load(path, allow_pickle=True, encoding=encoding)
+            if fname.endswith('.npz'):
+                data = data_f['x']
+                data_f.close()
+            else:
+                data = data_f
+
+            if encoding == 'latin1' and fname.startswith('py2'):
+                assert_(isinstance(data[3], str))
+                assert_array_equal(data[:-1], expected[:-1])
+                # mojibake occurs
+                assert_array_equal(data[-1].encode(encoding), expected[-1])
+            else:
+                assert_(isinstance(data[3], bytes))
+                assert_array_equal(data, expected)
+
+        if fname.startswith('py2'):
+            if fname.endswith('.npz'):
+                data = np.load(path, allow_pickle=True)
+                assert_raises(UnicodeError, data.__getitem__, 'x')
+                data.close()
+                data = np.load(path, allow_pickle=True, fix_imports=False,
+                               encoding='latin1')
+                assert_raises(ImportError, data.__getitem__, 'x')
+                data.close()
+            else:
+                assert_raises(UnicodeError, np.load, path,
+                              allow_pickle=True)
+                assert_raises(ImportError, np.load, path,
+                              allow_pickle=True, fix_imports=False,
+                              encoding='latin1')
+
+
+def test_pickle_disallow(tmpdir):
+    data_dir = os.path.join(os.path.dirname(__file__), 'data')
+
+    path = os.path.join(data_dir, 'py2-objarr.npy')
+    assert_raises(ValueError, np.load, path,
+                  allow_pickle=False, encoding='latin1')
+
+    path = os.path.join(data_dir, 'py2-objarr.npz')
+    with np.load(path, allow_pickle=False, encoding='latin1') as f:
+        assert_raises(ValueError, f.__getitem__, 'x')
+
+    path = os.path.join(tmpdir, 'pickle-disabled.npy')
+    assert_raises(ValueError, np.save, path, np.array([None], dtype=object),
+                  allow_pickle=False)
+
+@pytest.mark.parametrize('dt', [
+    np.dtype(np.dtype([('a', np.int8),
+                       ('b', np.int16),
+                       ('c', np.int32),
+                      ], align=True),
+             (3,)),
+    np.dtype([('x', np.dtype({'names':['a','b'],
+                              'formats':['i1','i1'],
+                              'offsets':[0,4],
+                              'itemsize':8,
+                             },
+                    (3,)),
+               (4,),
+             )]),
+    np.dtype([('x',
+                   (' 1, a)
+        assert_array_equal(b, [3, 2, 2, 3, 3])
+
+    def test_place(self):
+        # Make sure that non-np.ndarray objects
+        # raise an error instead of doing nothing
+        assert_raises(TypeError, place, [1, 2, 3], [True, False], [0, 1])
+
+        a = np.array([1, 4, 3, 2, 5, 8, 7])
+        place(a, [0, 1, 0, 1, 0, 1, 0], [2, 4, 6])
+        assert_array_equal(a, [1, 2, 3, 4, 5, 6, 7])
+
+        place(a, np.zeros(7), [])
+        assert_array_equal(a, np.arange(1, 8))
+
+        place(a, [1, 0, 1, 0, 1, 0, 1], [8, 9])
+        assert_array_equal(a, [8, 2, 9, 4, 8, 6, 9])
+        assert_raises_regex(ValueError, "Cannot insert from an empty array",
+                            lambda: place(a, [0, 0, 0, 0, 0, 1, 0], []))
+
+        # See Issue #6974
+        a = np.array(['12', '34'])
+        place(a, [0, 1], '9')
+        assert_array_equal(a, ['12', '9'])
+
+    def test_both(self):
+        a = rand(10)
+        mask = a > 0.5
+        ac = a.copy()
+        c = extract(mask, a)
+        place(a, mask, 0)
+        place(a, mask, c)
+        assert_array_equal(a, ac)
+
+
+# _foo1 and _foo2 are used in some tests in TestVectorize.
+
+def _foo1(x, y=1.0):
+    return y*math.floor(x)
+
+
+def _foo2(x, y=1.0, z=0.0):
+    return y*math.floor(x) + z
+
+
+class TestVectorize:
+
+    def test_simple(self):
+        def addsubtract(a, b):
+            if a > b:
+                return a - b
+            else:
+                return a + b
+
+        f = vectorize(addsubtract)
+        r = f([0, 3, 6, 9], [1, 3, 5, 7])
+        assert_array_equal(r, [1, 6, 1, 2])
+
+    def test_scalar(self):
+        def addsubtract(a, b):
+            if a > b:
+                return a - b
+            else:
+                return a + b
+
+        f = vectorize(addsubtract)
+        r = f([0, 3, 6, 9], 5)
+        assert_array_equal(r, [5, 8, 1, 4])
+
+    def test_large(self):
+        x = np.linspace(-3, 2, 10000)
+        f = vectorize(lambda x: x)
+        y = f(x)
+        assert_array_equal(y, x)
+
+    def test_ufunc(self):
+        f = vectorize(math.cos)
+        args = np.array([0, 0.5 * np.pi, np.pi, 1.5 * np.pi, 2 * np.pi])
+        r1 = f(args)
+        r2 = np.cos(args)
+        assert_array_almost_equal(r1, r2)
+
+    def test_keywords(self):
+
+        def foo(a, b=1):
+            return a + b
+
+        f = vectorize(foo)
+        args = np.array([1, 2, 3])
+        r1 = f(args)
+        r2 = np.array([2, 3, 4])
+        assert_array_equal(r1, r2)
+        r1 = f(args, 2)
+        r2 = np.array([3, 4, 5])
+        assert_array_equal(r1, r2)
+
+    def test_keywords_with_otypes_order1(self):
+        # gh-1620: The second call of f would crash with
+        # `ValueError: invalid number of arguments`.
+        f = vectorize(_foo1, otypes=[float])
+        # We're testing the caching of ufuncs by vectorize, so the order
+        # of these function calls is an important part of the test.
+        r1 = f(np.arange(3.0), 1.0)
+        r2 = f(np.arange(3.0))
+        assert_array_equal(r1, r2)
+
+    def test_keywords_with_otypes_order2(self):
+        # gh-1620: The second call of f would crash with
+        # `ValueError: non-broadcastable output operand with shape ()
+        # doesn't match the broadcast shape (3,)`.
+        f = vectorize(_foo1, otypes=[float])
+        # We're testing the caching of ufuncs by vectorize, so the order
+        # of these function calls is an important part of the test.
+        r1 = f(np.arange(3.0))
+        r2 = f(np.arange(3.0), 1.0)
+        assert_array_equal(r1, r2)
+
+    def test_keywords_with_otypes_order3(self):
+        # gh-1620: The third call of f would crash with
+        # `ValueError: invalid number of arguments`.
+        f = vectorize(_foo1, otypes=[float])
+        # We're testing the caching of ufuncs by vectorize, so the order
+        # of these function calls is an important part of the test.
+        r1 = f(np.arange(3.0))
+        r2 = f(np.arange(3.0), y=1.0)
+        r3 = f(np.arange(3.0))
+        assert_array_equal(r1, r2)
+        assert_array_equal(r1, r3)
+
+    def test_keywords_with_otypes_several_kwd_args1(self):
+        # gh-1620 Make sure different uses of keyword arguments
+        # don't break the vectorized function.
+        f = vectorize(_foo2, otypes=[float])
+        # We're testing the caching of ufuncs by vectorize, so the order
+        # of these function calls is an important part of the test.
+        r1 = f(10.4, z=100)
+        r2 = f(10.4, y=-1)
+        r3 = f(10.4)
+        assert_equal(r1, _foo2(10.4, z=100))
+        assert_equal(r2, _foo2(10.4, y=-1))
+        assert_equal(r3, _foo2(10.4))
+
+    def test_keywords_with_otypes_several_kwd_args2(self):
+        # gh-1620 Make sure different uses of keyword arguments
+        # don't break the vectorized function.
+        f = vectorize(_foo2, otypes=[float])
+        # We're testing the caching of ufuncs by vectorize, so the order
+        # of these function calls is an important part of the test.
+        r1 = f(z=100, x=10.4, y=-1)
+        r2 = f(1, 2, 3)
+        assert_equal(r1, _foo2(z=100, x=10.4, y=-1))
+        assert_equal(r2, _foo2(1, 2, 3))
+
+    def test_keywords_no_func_code(self):
+        # This needs to test a function that has keywords but
+        # no func_code attribute, since otherwise vectorize will
+        # inspect the func_code.
+        import random
+        try:
+            vectorize(random.randrange)  # Should succeed
+        except Exception:
+            raise AssertionError
+
+    def test_keywords2_ticket_2100(self):
+        # Test kwarg support: enhancement ticket 2100
+
+        def foo(a, b=1):
+            return a + b
+
+        f = vectorize(foo)
+        args = np.array([1, 2, 3])
+        r1 = f(a=args)
+        r2 = np.array([2, 3, 4])
+        assert_array_equal(r1, r2)
+        r1 = f(b=1, a=args)
+        assert_array_equal(r1, r2)
+        r1 = f(args, b=2)
+        r2 = np.array([3, 4, 5])
+        assert_array_equal(r1, r2)
+
+    def test_keywords3_ticket_2100(self):
+        # Test excluded with mixed positional and kwargs: ticket 2100
+        def mypolyval(x, p):
+            _p = list(p)
+            res = _p.pop(0)
+            while _p:
+                res = res * x + _p.pop(0)
+            return res
+
+        vpolyval = np.vectorize(mypolyval, excluded=['p', 1])
+        ans = [3, 6]
+        assert_array_equal(ans, vpolyval(x=[0, 1], p=[1, 2, 3]))
+        assert_array_equal(ans, vpolyval([0, 1], p=[1, 2, 3]))
+        assert_array_equal(ans, vpolyval([0, 1], [1, 2, 3]))
+
+    def test_keywords4_ticket_2100(self):
+        # Test vectorizing function with no positional args.
+        @vectorize
+        def f(**kw):
+            res = 1.0
+            for _k in kw:
+                res *= kw[_k]
+            return res
+
+        assert_array_equal(f(a=[1, 2], b=[3, 4]), [3, 8])
+
+    def test_keywords5_ticket_2100(self):
+        # Test vectorizing function with no kwargs args.
+        @vectorize
+        def f(*v):
+            return np.prod(v)
+
+        assert_array_equal(f([1, 2], [3, 4]), [3, 8])
+
+    def test_coverage1_ticket_2100(self):
+        def foo():
+            return 1
+
+        f = vectorize(foo)
+        assert_array_equal(f(), 1)
+
+    def test_assigning_docstring(self):
+        def foo(x):
+            """Original documentation"""
+            return x
+
+        f = vectorize(foo)
+        assert_equal(f.__doc__, foo.__doc__)
+
+        doc = "Provided documentation"
+        f = vectorize(foo, doc=doc)
+        assert_equal(f.__doc__, doc)
+
+    def test_UnboundMethod_ticket_1156(self):
+        # Regression test for issue 1156
+        class Foo:
+            b = 2
+
+            def bar(self, a):
+                return a ** self.b
+
+        assert_array_equal(vectorize(Foo().bar)(np.arange(9)),
+                           np.arange(9) ** 2)
+        assert_array_equal(vectorize(Foo.bar)(Foo(), np.arange(9)),
+                           np.arange(9) ** 2)
+
+    def test_execution_order_ticket_1487(self):
+        # Regression test for dependence on execution order: issue 1487
+        f1 = vectorize(lambda x: x)
+        res1a = f1(np.arange(3))
+        res1b = f1(np.arange(0.1, 3))
+        f2 = vectorize(lambda x: x)
+        res2b = f2(np.arange(0.1, 3))
+        res2a = f2(np.arange(3))
+        assert_equal(res1a, res2a)
+        assert_equal(res1b, res2b)
+
+    def test_string_ticket_1892(self):
+        # Test vectorization over strings: issue 1892.
+        f = np.vectorize(lambda x: x)
+        s = '0123456789' * 10
+        assert_equal(s, f(s))
+
+    def test_cache(self):
+        # Ensure that vectorized func called exactly once per argument.
+        _calls = [0]
+
+        @vectorize
+        def f(x):
+            _calls[0] += 1
+            return x ** 2
+
+        f.cache = True
+        x = np.arange(5)
+        assert_array_equal(f(x), x * x)
+        assert_equal(_calls[0], len(x))
+
+    def test_otypes(self):
+        f = np.vectorize(lambda x: x)
+        f.otypes = 'i'
+        x = np.arange(5)
+        assert_array_equal(f(x), x)
+
+    def test_parse_gufunc_signature(self):
+        assert_equal(nfb._parse_gufunc_signature('(x)->()'), ([('x',)], [()]))
+        assert_equal(nfb._parse_gufunc_signature('(x,y)->()'),
+                     ([('x', 'y')], [()]))
+        assert_equal(nfb._parse_gufunc_signature('(x),(y)->()'),
+                     ([('x',), ('y',)], [()]))
+        assert_equal(nfb._parse_gufunc_signature('(x)->(y)'),
+                     ([('x',)], [('y',)]))
+        assert_equal(nfb._parse_gufunc_signature('(x)->(y),()'),
+                     ([('x',)], [('y',), ()]))
+        assert_equal(nfb._parse_gufunc_signature('(),(a,b,c),(d)->(d,e)'),
+                     ([(), ('a', 'b', 'c'), ('d',)], [('d', 'e')]))
+
+        # Tests to check if whitespaces are ignored
+        assert_equal(nfb._parse_gufunc_signature('(x )->()'), ([('x',)], [()]))
+        assert_equal(nfb._parse_gufunc_signature('( x , y )->(  )'),
+                     ([('x', 'y')], [()]))
+        assert_equal(nfb._parse_gufunc_signature('(x),( y) ->()'),
+                     ([('x',), ('y',)], [()]))
+        assert_equal(nfb._parse_gufunc_signature('(  x)-> (y )  '),
+                     ([('x',)], [('y',)]))
+        assert_equal(nfb._parse_gufunc_signature(' (x)->( y),( )'),
+                     ([('x',)], [('y',), ()]))
+        assert_equal(nfb._parse_gufunc_signature(
+                     '(  ), ( a,  b,c )  ,(  d)   ->   (d  ,  e)'),
+                     ([(), ('a', 'b', 'c'), ('d',)], [('d', 'e')]))
+
+        with assert_raises(ValueError):
+            nfb._parse_gufunc_signature('(x)(y)->()')
+        with assert_raises(ValueError):
+            nfb._parse_gufunc_signature('(x),(y)->')
+        with assert_raises(ValueError):
+            nfb._parse_gufunc_signature('((x))->(x)')
+
+    def test_signature_simple(self):
+        def addsubtract(a, b):
+            if a > b:
+                return a - b
+            else:
+                return a + b
+
+        f = vectorize(addsubtract, signature='(),()->()')
+        r = f([0, 3, 6, 9], [1, 3, 5, 7])
+        assert_array_equal(r, [1, 6, 1, 2])
+
+    def test_signature_mean_last(self):
+        def mean(a):
+            return a.mean()
+
+        f = vectorize(mean, signature='(n)->()')
+        r = f([[1, 3], [2, 4]])
+        assert_array_equal(r, [2, 3])
+
+    def test_signature_center(self):
+        def center(a):
+            return a - a.mean()
+
+        f = vectorize(center, signature='(n)->(n)')
+        r = f([[1, 3], [2, 4]])
+        assert_array_equal(r, [[-1, 1], [-1, 1]])
+
+    def test_signature_two_outputs(self):
+        f = vectorize(lambda x: (x, x), signature='()->(),()')
+        r = f([1, 2, 3])
+        assert_(isinstance(r, tuple) and len(r) == 2)
+        assert_array_equal(r[0], [1, 2, 3])
+        assert_array_equal(r[1], [1, 2, 3])
+
+    def test_signature_outer(self):
+        f = vectorize(np.outer, signature='(a),(b)->(a,b)')
+        r = f([1, 2], [1, 2, 3])
+        assert_array_equal(r, [[1, 2, 3], [2, 4, 6]])
+
+        r = f([[[1, 2]]], [1, 2, 3])
+        assert_array_equal(r, [[[[1, 2, 3], [2, 4, 6]]]])
+
+        r = f([[1, 0], [2, 0]], [1, 2, 3])
+        assert_array_equal(r, [[[1, 2, 3], [0, 0, 0]],
+                               [[2, 4, 6], [0, 0, 0]]])
+
+        r = f([1, 2], [[1, 2, 3], [0, 0, 0]])
+        assert_array_equal(r, [[[1, 2, 3], [2, 4, 6]],
+                               [[0, 0, 0], [0, 0, 0]]])
+
+    def test_signature_computed_size(self):
+        f = vectorize(lambda x: x[:-1], signature='(n)->(m)')
+        r = f([1, 2, 3])
+        assert_array_equal(r, [1, 2])
+
+        r = f([[1, 2, 3], [2, 3, 4]])
+        assert_array_equal(r, [[1, 2], [2, 3]])
+
+    def test_signature_excluded(self):
+
+        def foo(a, b=1):
+            return a + b
+
+        f = vectorize(foo, signature='()->()', excluded={'b'})
+        assert_array_equal(f([1, 2, 3]), [2, 3, 4])
+        assert_array_equal(f([1, 2, 3], b=0), [1, 2, 3])
+
+    def test_signature_otypes(self):
+        f = vectorize(lambda x: x, signature='(n)->(n)', otypes=['float64'])
+        r = f([1, 2, 3])
+        assert_equal(r.dtype, np.dtype('float64'))
+        assert_array_equal(r, [1, 2, 3])
+
+    def test_signature_invalid_inputs(self):
+        f = vectorize(operator.add, signature='(n),(n)->(n)')
+        with assert_raises_regex(TypeError, 'wrong number of positional'):
+            f([1, 2])
+        with assert_raises_regex(
+                ValueError, 'does not have enough dimensions'):
+            f(1, 2)
+        with assert_raises_regex(
+                ValueError, 'inconsistent size for core dimension'):
+            f([1, 2], [1, 2, 3])
+
+        f = vectorize(operator.add, signature='()->()')
+        with assert_raises_regex(TypeError, 'wrong number of positional'):
+            f(1, 2)
+
+    def test_signature_invalid_outputs(self):
+
+        f = vectorize(lambda x: x[:-1], signature='(n)->(n)')
+        with assert_raises_regex(
+                ValueError, 'inconsistent size for core dimension'):
+            f([1, 2, 3])
+
+        f = vectorize(lambda x: x, signature='()->(),()')
+        with assert_raises_regex(ValueError, 'wrong number of outputs'):
+            f(1)
+
+        f = vectorize(lambda x: (x, x), signature='()->()')
+        with assert_raises_regex(ValueError, 'wrong number of outputs'):
+            f([1, 2])
+
+    def test_size_zero_output(self):
+        # see issue 5868
+        f = np.vectorize(lambda x: x)
+        x = np.zeros([0, 5], dtype=int)
+        with assert_raises_regex(ValueError, 'otypes'):
+            f(x)
+
+        f.otypes = 'i'
+        assert_array_equal(f(x), x)
+
+        f = np.vectorize(lambda x: x, signature='()->()')
+        with assert_raises_regex(ValueError, 'otypes'):
+            f(x)
+
+        f = np.vectorize(lambda x: x, signature='()->()', otypes='i')
+        assert_array_equal(f(x), x)
+
+        f = np.vectorize(lambda x: x, signature='(n)->(n)', otypes='i')
+        assert_array_equal(f(x), x)
+
+        f = np.vectorize(lambda x: x, signature='(n)->(n)')
+        assert_array_equal(f(x.T), x.T)
+
+        f = np.vectorize(lambda x: [x], signature='()->(n)', otypes='i')
+        with assert_raises_regex(ValueError, 'new output dimensions'):
+            f(x)
+
+    def test_subclasses(self):
+        class subclass(np.ndarray):
+            pass
+
+        m = np.array([[1., 0., 0.],
+                      [0., 0., 1.],
+                      [0., 1., 0.]]).view(subclass)
+        v = np.array([[1., 2., 3.], [4., 5., 6.], [7., 8., 9.]]).view(subclass)
+        # generalized (gufunc)
+        matvec = np.vectorize(np.matmul, signature='(m,m),(m)->(m)')
+        r = matvec(m, v)
+        assert_equal(type(r), subclass)
+        assert_equal(r, [[1., 3., 2.], [4., 6., 5.], [7., 9., 8.]])
+
+        # element-wise (ufunc)
+        mult = np.vectorize(lambda x, y: x*y)
+        r = mult(m, v)
+        assert_equal(type(r), subclass)
+        assert_equal(r, m * v)
+
+    def test_name(self):
+        #See gh-23021
+        @np.vectorize
+        def f2(a, b):
+            return a + b
+
+        assert f2.__name__ == 'f2'
+
+    def test_decorator(self):
+        @vectorize
+        def addsubtract(a, b):
+            if a > b:
+                return a - b
+            else:
+                return a + b
+
+        r = addsubtract([0, 3, 6, 9], [1, 3, 5, 7])
+        assert_array_equal(r, [1, 6, 1, 2])
+
+    def test_docstring(self):
+        @vectorize
+        def f(x):
+            """Docstring"""
+            return x
+
+        if sys.flags.optimize < 2:
+            assert f.__doc__ == "Docstring"
+
+    def test_partial(self):
+        def foo(x, y):
+            return x + y
+
+        bar = partial(foo, 3)
+        vbar = np.vectorize(bar)
+        assert vbar(1) == 4
+
+    def test_signature_otypes_decorator(self):
+        @vectorize(signature='(n)->(n)', otypes=['float64'])
+        def f(x):
+            return x
+
+        r = f([1, 2, 3])
+        assert_equal(r.dtype, np.dtype('float64'))
+        assert_array_equal(r, [1, 2, 3])
+        assert f.__name__ == 'f'
+
+    def test_bad_input(self):
+        with assert_raises(TypeError):
+            A = np.vectorize(pyfunc = 3)
+
+    def test_no_keywords(self):
+        with assert_raises(TypeError):
+            @np.vectorize("string")
+            def foo():
+                return "bar"
+
+    def test_positional_regression_9477(self):
+        # This supplies the first keyword argument as a positional,
+        # to ensure that they are still properly forwarded after the
+        # enhancement for #9477
+        f = vectorize((lambda x: x), ['float64'])
+        r = f([2])
+        assert_equal(r.dtype, np.dtype('float64'))
+
+    def test_datetime_conversion(self):
+        otype = "datetime64[ns]"
+        arr = np.array(['2024-01-01', '2024-01-02', '2024-01-03'],
+                       dtype='datetime64[ns]')
+        assert_array_equal(np.vectorize(lambda x: x, signature="(i)->(j)",
+                                        otypes=[otype])(arr), arr)
+
+
+class TestLeaks:
+    class A:
+        iters = 20
+
+        def bound(self, *args):
+            return 0
+
+        @staticmethod
+        def unbound(*args):
+            return 0
+
+    @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts")
+    @pytest.mark.skipif(NOGIL_BUILD,
+                        reason=("Functions are immortalized if a thread is "
+                                "launched, making this test flaky"))
+    @pytest.mark.parametrize('name, incr', [
+            ('bound', A.iters),
+            ('unbound', 0),
+            ])
+    def test_frompyfunc_leaks(self, name, incr):
+        # exposed in gh-11867 as np.vectorized, but the problem stems from
+        # frompyfunc.
+        # class.attribute = np.frompyfunc() creates a
+        # reference cycle if  is a bound class method. It requires a
+        # gc collection cycle to break the cycle (on CPython 3)
+        import gc
+        A_func = getattr(self.A, name)
+        gc.disable()
+        try:
+            refcount = sys.getrefcount(A_func)
+            for i in range(self.A.iters):
+                a = self.A()
+                a.f = np.frompyfunc(getattr(a, name), 1, 1)
+                out = a.f(np.arange(10))
+            a = None
+            # A.func is part of a reference cycle if incr is non-zero
+            assert_equal(sys.getrefcount(A_func), refcount + incr)
+            for i in range(5):
+                gc.collect()
+            assert_equal(sys.getrefcount(A_func), refcount)
+        finally:
+            gc.enable()
+
+
+class TestDigitize:
+
+    def test_forward(self):
+        x = np.arange(-6, 5)
+        bins = np.arange(-5, 5)
+        assert_array_equal(digitize(x, bins), np.arange(11))
+
+    def test_reverse(self):
+        x = np.arange(5, -6, -1)
+        bins = np.arange(5, -5, -1)
+        assert_array_equal(digitize(x, bins), np.arange(11))
+
+    def test_random(self):
+        x = rand(10)
+        bin = np.linspace(x.min(), x.max(), 10)
+        assert_(np.all(digitize(x, bin) != 0))
+
+    def test_right_basic(self):
+        x = [1, 5, 4, 10, 8, 11, 0]
+        bins = [1, 5, 10]
+        default_answer = [1, 2, 1, 3, 2, 3, 0]
+        assert_array_equal(digitize(x, bins), default_answer)
+        right_answer = [0, 1, 1, 2, 2, 3, 0]
+        assert_array_equal(digitize(x, bins, True), right_answer)
+
+    def test_right_open(self):
+        x = np.arange(-6, 5)
+        bins = np.arange(-6, 4)
+        assert_array_equal(digitize(x, bins, True), np.arange(11))
+
+    def test_right_open_reverse(self):
+        x = np.arange(5, -6, -1)
+        bins = np.arange(4, -6, -1)
+        assert_array_equal(digitize(x, bins, True), np.arange(11))
+
+    def test_right_open_random(self):
+        x = rand(10)
+        bins = np.linspace(x.min(), x.max(), 10)
+        assert_(np.all(digitize(x, bins, True) != 10))
+
+    def test_monotonic(self):
+        x = [-1, 0, 1, 2]
+        bins = [0, 0, 1]
+        assert_array_equal(digitize(x, bins, False), [0, 2, 3, 3])
+        assert_array_equal(digitize(x, bins, True), [0, 0, 2, 3])
+        bins = [1, 1, 0]
+        assert_array_equal(digitize(x, bins, False), [3, 2, 0, 0])
+        assert_array_equal(digitize(x, bins, True), [3, 3, 2, 0])
+        bins = [1, 1, 1, 1]
+        assert_array_equal(digitize(x, bins, False), [0, 0, 4, 4])
+        assert_array_equal(digitize(x, bins, True), [0, 0, 0, 4])
+        bins = [0, 0, 1, 0]
+        assert_raises(ValueError, digitize, x, bins)
+        bins = [1, 1, 0, 1]
+        assert_raises(ValueError, digitize, x, bins)
+
+    def test_casting_error(self):
+        x = [1, 2, 3 + 1.j]
+        bins = [1, 2, 3]
+        assert_raises(TypeError, digitize, x, bins)
+        x, bins = bins, x
+        assert_raises(TypeError, digitize, x, bins)
+
+    def test_return_type(self):
+        # Functions returning indices should always return base ndarrays
+        class A(np.ndarray):
+            pass
+        a = np.arange(5).view(A)
+        b = np.arange(1, 3).view(A)
+        assert_(not isinstance(digitize(b, a, False), A))
+        assert_(not isinstance(digitize(b, a, True), A))
+
+    def test_large_integers_increasing(self):
+        # gh-11022
+        x = 2**54  # loses precision in a float
+        assert_equal(np.digitize(x, [x - 1, x + 1]), 1)
+
+    @pytest.mark.xfail(
+        reason="gh-11022: np._core.multiarray._monoticity loses precision")
+    def test_large_integers_decreasing(self):
+        # gh-11022
+        x = 2**54  # loses precision in a float
+        assert_equal(np.digitize(x, [x + 1, x - 1]), 1)
+
+
+class TestUnwrap:
+
+    def test_simple(self):
+        # check that unwrap removes jumps greater that 2*pi
+        assert_array_equal(unwrap([1, 1 + 2 * np.pi]), [1, 1])
+        # check that unwrap maintains continuity
+        assert_(np.all(diff(unwrap(rand(10) * 100)) < np.pi))
+
+    def test_period(self):
+        # check that unwrap removes jumps greater that 255
+        assert_array_equal(unwrap([1, 1 + 256], period=255), [1, 2])
+        # check that unwrap maintains continuity
+        assert_(np.all(diff(unwrap(rand(10) * 1000, period=255)) < 255))
+        # check simple case
+        simple_seq = np.array([0, 75, 150, 225, 300])
+        wrap_seq = np.mod(simple_seq, 255)
+        assert_array_equal(unwrap(wrap_seq, period=255), simple_seq)
+        # check custom discont value
+        uneven_seq = np.array([0, 75, 150, 225, 300, 430])
+        wrap_uneven = np.mod(uneven_seq, 250)
+        no_discont = unwrap(wrap_uneven, period=250)
+        assert_array_equal(no_discont, [0, 75, 150, 225, 300, 180])
+        sm_discont = unwrap(wrap_uneven, period=250, discont=140)
+        assert_array_equal(sm_discont, [0, 75, 150, 225, 300, 430])
+        assert sm_discont.dtype == wrap_uneven.dtype
+
+
+@pytest.mark.parametrize(
+    "dtype", "O" + np.typecodes["AllInteger"] + np.typecodes["Float"]
+)
+@pytest.mark.parametrize("M", [0, 1, 10])
+class TestFilterwindows:
+
+    def test_hanning(self, dtype: str, M: int) -> None:
+        scalar = np.array(M, dtype=dtype)[()]
+
+        w = hanning(scalar)
+        if dtype == "O":
+            ref_dtype = np.float64
+        else:
+            ref_dtype = np.result_type(scalar.dtype, np.float64)
+        assert w.dtype == ref_dtype
+
+        # check symmetry
+        assert_equal(w, flipud(w))
+
+        # check known value
+        if scalar < 1:
+            assert_array_equal(w, np.array([]))
+        elif scalar == 1:
+            assert_array_equal(w, np.ones(1))
+        else:
+            assert_almost_equal(np.sum(w, axis=0), 4.500, 4)
+
+    def test_hamming(self, dtype: str, M: int) -> None:
+        scalar = np.array(M, dtype=dtype)[()]
+
+        w = hamming(scalar)
+        if dtype == "O":
+            ref_dtype = np.float64
+        else:
+            ref_dtype = np.result_type(scalar.dtype, np.float64)
+        assert w.dtype == ref_dtype
+
+        # check symmetry
+        assert_equal(w, flipud(w))
+
+        # check known value
+        if scalar < 1:
+            assert_array_equal(w, np.array([]))
+        elif scalar == 1:
+            assert_array_equal(w, np.ones(1))
+        else:
+            assert_almost_equal(np.sum(w, axis=0), 4.9400, 4)
+
+    def test_bartlett(self, dtype: str, M: int) -> None:
+        scalar = np.array(M, dtype=dtype)[()]
+
+        w = bartlett(scalar)
+        if dtype == "O":
+            ref_dtype = np.float64
+        else:
+            ref_dtype = np.result_type(scalar.dtype, np.float64)
+        assert w.dtype == ref_dtype
+
+        # check symmetry
+        assert_equal(w, flipud(w))
+
+        # check known value
+        if scalar < 1:
+            assert_array_equal(w, np.array([]))
+        elif scalar == 1:
+            assert_array_equal(w, np.ones(1))
+        else:
+            assert_almost_equal(np.sum(w, axis=0), 4.4444, 4)
+
+    def test_blackman(self, dtype: str, M: int) -> None:
+        scalar = np.array(M, dtype=dtype)[()]
+
+        w = blackman(scalar)
+        if dtype == "O":
+            ref_dtype = np.float64
+        else:
+            ref_dtype = np.result_type(scalar.dtype, np.float64)
+        assert w.dtype == ref_dtype
+
+        # check symmetry
+        assert_equal(w, flipud(w))
+
+        # check known value
+        if scalar < 1:
+            assert_array_equal(w, np.array([]))
+        elif scalar == 1:
+            assert_array_equal(w, np.ones(1))
+        else:
+            assert_almost_equal(np.sum(w, axis=0), 3.7800, 4)
+
+    def test_kaiser(self, dtype: str, M: int) -> None:
+        scalar = np.array(M, dtype=dtype)[()]
+
+        w = kaiser(scalar, 0)
+        if dtype == "O":
+            ref_dtype = np.float64
+        else:
+            ref_dtype = np.result_type(scalar.dtype, np.float64)
+        assert w.dtype == ref_dtype
+
+        # check symmetry
+        assert_equal(w, flipud(w))
+
+        # check known value
+        if scalar < 1:
+            assert_array_equal(w, np.array([]))
+        elif scalar == 1:
+            assert_array_equal(w, np.ones(1))
+        else:
+            assert_almost_equal(np.sum(w, axis=0), 10, 15)
+
+
+class TestTrapezoid:
+
+    def test_simple(self):
+        x = np.arange(-10, 10, .1)
+        r = trapezoid(np.exp(-.5 * x ** 2) / np.sqrt(2 * np.pi), dx=0.1)
+        # check integral of normal equals 1
+        assert_almost_equal(r, 1, 7)
+
+    def test_ndim(self):
+        x = np.linspace(0, 1, 3)
+        y = np.linspace(0, 2, 8)
+        z = np.linspace(0, 3, 13)
+
+        wx = np.ones_like(x) * (x[1] - x[0])
+        wx[0] /= 2
+        wx[-1] /= 2
+        wy = np.ones_like(y) * (y[1] - y[0])
+        wy[0] /= 2
+        wy[-1] /= 2
+        wz = np.ones_like(z) * (z[1] - z[0])
+        wz[0] /= 2
+        wz[-1] /= 2
+
+        q = x[:, None, None] + y[None,:, None] + z[None, None,:]
+
+        qx = (q * wx[:, None, None]).sum(axis=0)
+        qy = (q * wy[None, :, None]).sum(axis=1)
+        qz = (q * wz[None, None, :]).sum(axis=2)
+
+        # n-d `x`
+        r = trapezoid(q, x=x[:, None, None], axis=0)
+        assert_almost_equal(r, qx)
+        r = trapezoid(q, x=y[None, :, None], axis=1)
+        assert_almost_equal(r, qy)
+        r = trapezoid(q, x=z[None, None, :], axis=2)
+        assert_almost_equal(r, qz)
+
+        # 1-d `x`
+        r = trapezoid(q, x=x, axis=0)
+        assert_almost_equal(r, qx)
+        r = trapezoid(q, x=y, axis=1)
+        assert_almost_equal(r, qy)
+        r = trapezoid(q, x=z, axis=2)
+        assert_almost_equal(r, qz)
+
+    def test_masked(self):
+        # Testing that masked arrays behave as if the function is 0 where
+        # masked
+        x = np.arange(5)
+        y = x * x
+        mask = x == 2
+        ym = np.ma.array(y, mask=mask)
+        r = 13.0  # sum(0.5 * (0 + 1) * 1.0 + 0.5 * (9 + 16))
+        assert_almost_equal(trapezoid(ym, x), r)
+
+        xm = np.ma.array(x, mask=mask)
+        assert_almost_equal(trapezoid(ym, xm), r)
+
+        xm = np.ma.array(x, mask=mask)
+        assert_almost_equal(trapezoid(y, xm), r)
+
+
+class TestSinc:
+
+    def test_simple(self):
+        assert_(sinc(0) == 1)
+        w = sinc(np.linspace(-1, 1, 100))
+        # check symmetry
+        assert_array_almost_equal(w, flipud(w), 7)
+
+    def test_array_like(self):
+        x = [0, 0.5]
+        y1 = sinc(np.array(x))
+        y2 = sinc(list(x))
+        y3 = sinc(tuple(x))
+        assert_array_equal(y1, y2)
+        assert_array_equal(y1, y3)
+
+
+class TestUnique:
+
+    def test_simple(self):
+        x = np.array([4, 3, 2, 1, 1, 2, 3, 4, 0])
+        assert_(np.all(unique(x) == [0, 1, 2, 3, 4]))
+        assert_(unique(np.array([1, 1, 1, 1, 1])) == np.array([1]))
+        x = ['widget', 'ham', 'foo', 'bar', 'foo', 'ham']
+        assert_(np.all(unique(x) == ['bar', 'foo', 'ham', 'widget']))
+        x = np.array([5 + 6j, 1 + 1j, 1 + 10j, 10, 5 + 6j])
+        assert_(np.all(unique(x) == [1 + 1j, 1 + 10j, 5 + 6j, 10]))
+
+
+class TestCheckFinite:
+
+    def test_simple(self):
+        a = [1, 2, 3]
+        b = [1, 2, np.inf]
+        c = [1, 2, np.nan]
+        np.asarray_chkfinite(a)
+        assert_raises(ValueError, np.asarray_chkfinite, b)
+        assert_raises(ValueError, np.asarray_chkfinite, c)
+
+    def test_dtype_order(self):
+        # Regression test for missing dtype and order arguments
+        a = [1, 2, 3]
+        a = np.asarray_chkfinite(a, order='F', dtype=np.float64)
+        assert_(a.dtype == np.float64)
+
+
+class TestCorrCoef:
+    A = np.array(
+        [[0.15391142, 0.18045767, 0.14197213],
+         [0.70461506, 0.96474128, 0.27906989],
+         [0.9297531, 0.32296769, 0.19267156]])
+    B = np.array(
+        [[0.10377691, 0.5417086, 0.49807457],
+         [0.82872117, 0.77801674, 0.39226705],
+         [0.9314666, 0.66800209, 0.03538394]])
+    res1 = np.array(
+        [[1., 0.9379533, -0.04931983],
+         [0.9379533, 1., 0.30007991],
+         [-0.04931983, 0.30007991, 1.]])
+    res2 = np.array(
+        [[1., 0.9379533, -0.04931983, 0.30151751, 0.66318558, 0.51532523],
+         [0.9379533, 1., 0.30007991, -0.04781421, 0.88157256, 0.78052386],
+         [-0.04931983, 0.30007991, 1., -0.96717111, 0.71483595, 0.83053601],
+         [0.30151751, -0.04781421, -0.96717111, 1., -0.51366032, -0.66173113],
+         [0.66318558, 0.88157256, 0.71483595, -0.51366032, 1., 0.98317823],
+         [0.51532523, 0.78052386, 0.83053601, -0.66173113, 0.98317823, 1.]])
+
+    def test_non_array(self):
+        assert_almost_equal(np.corrcoef([0, 1, 0], [1, 0, 1]),
+                            [[1., -1.], [-1.,  1.]])
+
+    def test_simple(self):
+        tgt1 = corrcoef(self.A)
+        assert_almost_equal(tgt1, self.res1)
+        assert_(np.all(np.abs(tgt1) <= 1.0))
+
+        tgt2 = corrcoef(self.A, self.B)
+        assert_almost_equal(tgt2, self.res2)
+        assert_(np.all(np.abs(tgt2) <= 1.0))
+
+    def test_ddof(self):
+        # ddof raises DeprecationWarning
+        with suppress_warnings() as sup:
+            warnings.simplefilter("always")
+            assert_warns(DeprecationWarning, corrcoef, self.A, ddof=-1)
+            sup.filter(DeprecationWarning)
+            # ddof has no or negligible effect on the function
+            assert_almost_equal(corrcoef(self.A, ddof=-1), self.res1)
+            assert_almost_equal(corrcoef(self.A, self.B, ddof=-1), self.res2)
+            assert_almost_equal(corrcoef(self.A, ddof=3), self.res1)
+            assert_almost_equal(corrcoef(self.A, self.B, ddof=3), self.res2)
+
+    def test_bias(self):
+        # bias raises DeprecationWarning
+        with suppress_warnings() as sup:
+            warnings.simplefilter("always")
+            assert_warns(DeprecationWarning, corrcoef, self.A, self.B, 1, 0)
+            assert_warns(DeprecationWarning, corrcoef, self.A, bias=0)
+            sup.filter(DeprecationWarning)
+            # bias has no or negligible effect on the function
+            assert_almost_equal(corrcoef(self.A, bias=1), self.res1)
+
+    def test_complex(self):
+        x = np.array([[1, 2, 3], [1j, 2j, 3j]])
+        res = corrcoef(x)
+        tgt = np.array([[1., -1.j], [1.j, 1.]])
+        assert_allclose(res, tgt)
+        assert_(np.all(np.abs(res) <= 1.0))
+
+    def test_xy(self):
+        x = np.array([[1, 2, 3]])
+        y = np.array([[1j, 2j, 3j]])
+        assert_allclose(np.corrcoef(x, y), np.array([[1., -1.j], [1.j, 1.]]))
+
+    def test_empty(self):
+        with warnings.catch_warnings(record=True):
+            warnings.simplefilter('always', RuntimeWarning)
+            assert_array_equal(corrcoef(np.array([])), np.nan)
+            assert_array_equal(corrcoef(np.array([]).reshape(0, 2)),
+                               np.array([]).reshape(0, 0))
+            assert_array_equal(corrcoef(np.array([]).reshape(2, 0)),
+                               np.array([[np.nan, np.nan], [np.nan, np.nan]]))
+
+    def test_extreme(self):
+        x = [[1e-100, 1e100], [1e100, 1e-100]]
+        with np.errstate(all='raise'):
+            c = corrcoef(x)
+        assert_array_almost_equal(c, np.array([[1., -1.], [-1., 1.]]))
+        assert_(np.all(np.abs(c) <= 1.0))
+
+    @pytest.mark.parametrize("test_type", [np.half, np.single, np.double, np.longdouble])
+    def test_corrcoef_dtype(self, test_type):
+        cast_A = self.A.astype(test_type)
+        res = corrcoef(cast_A, dtype=test_type)
+        assert test_type == res.dtype
+
+
+class TestCov:
+    x1 = np.array([[0, 2], [1, 1], [2, 0]]).T
+    res1 = np.array([[1., -1.], [-1., 1.]])
+    x2 = np.array([0.0, 1.0, 2.0], ndmin=2)
+    frequencies = np.array([1, 4, 1])
+    x2_repeats = np.array([[0.0], [1.0], [1.0], [1.0], [1.0], [2.0]]).T
+    res2 = np.array([[0.4, -0.4], [-0.4, 0.4]])
+    unit_frequencies = np.ones(3, dtype=np.int_)
+    weights = np.array([1.0, 4.0, 1.0])
+    res3 = np.array([[2. / 3., -2. / 3.], [-2. / 3., 2. / 3.]])
+    unit_weights = np.ones(3)
+    x3 = np.array([0.3942, 0.5969, 0.7730, 0.9918, 0.7964])
+
+    def test_basic(self):
+        assert_allclose(cov(self.x1), self.res1)
+
+    def test_complex(self):
+        x = np.array([[1, 2, 3], [1j, 2j, 3j]])
+        res = np.array([[1., -1.j], [1.j, 1.]])
+        assert_allclose(cov(x), res)
+        assert_allclose(cov(x, aweights=np.ones(3)), res)
+
+    def test_xy(self):
+        x = np.array([[1, 2, 3]])
+        y = np.array([[1j, 2j, 3j]])
+        assert_allclose(cov(x, y), np.array([[1., -1.j], [1.j, 1.]]))
+
+    def test_empty(self):
+        with warnings.catch_warnings(record=True):
+            warnings.simplefilter('always', RuntimeWarning)
+            assert_array_equal(cov(np.array([])), np.nan)
+            assert_array_equal(cov(np.array([]).reshape(0, 2)),
+                               np.array([]).reshape(0, 0))
+            assert_array_equal(cov(np.array([]).reshape(2, 0)),
+                               np.array([[np.nan, np.nan], [np.nan, np.nan]]))
+
+    def test_wrong_ddof(self):
+        with warnings.catch_warnings(record=True):
+            warnings.simplefilter('always', RuntimeWarning)
+            assert_array_equal(cov(self.x1, ddof=5),
+                               np.array([[np.inf, -np.inf],
+                                         [-np.inf, np.inf]]))
+
+    def test_1D_rowvar(self):
+        assert_allclose(cov(self.x3), cov(self.x3, rowvar=False))
+        y = np.array([0.0780, 0.3107, 0.2111, 0.0334, 0.8501])
+        assert_allclose(cov(self.x3, y), cov(self.x3, y, rowvar=False))
+
+    def test_1D_variance(self):
+        assert_allclose(cov(self.x3, ddof=1), np.var(self.x3, ddof=1))
+
+    def test_fweights(self):
+        assert_allclose(cov(self.x2, fweights=self.frequencies),
+                        cov(self.x2_repeats))
+        assert_allclose(cov(self.x1, fweights=self.frequencies),
+                        self.res2)
+        assert_allclose(cov(self.x1, fweights=self.unit_frequencies),
+                        self.res1)
+        nonint = self.frequencies + 0.5
+        assert_raises(TypeError, cov, self.x1, fweights=nonint)
+        f = np.ones((2, 3), dtype=np.int_)
+        assert_raises(RuntimeError, cov, self.x1, fweights=f)
+        f = np.ones(2, dtype=np.int_)
+        assert_raises(RuntimeError, cov, self.x1, fweights=f)
+        f = -1 * np.ones(3, dtype=np.int_)
+        assert_raises(ValueError, cov, self.x1, fweights=f)
+
+    def test_aweights(self):
+        assert_allclose(cov(self.x1, aweights=self.weights), self.res3)
+        assert_allclose(cov(self.x1, aweights=3.0 * self.weights),
+                        cov(self.x1, aweights=self.weights))
+        assert_allclose(cov(self.x1, aweights=self.unit_weights), self.res1)
+        w = np.ones((2, 3))
+        assert_raises(RuntimeError, cov, self.x1, aweights=w)
+        w = np.ones(2)
+        assert_raises(RuntimeError, cov, self.x1, aweights=w)
+        w = -1.0 * np.ones(3)
+        assert_raises(ValueError, cov, self.x1, aweights=w)
+
+    def test_unit_fweights_and_aweights(self):
+        assert_allclose(cov(self.x2, fweights=self.frequencies,
+                            aweights=self.unit_weights),
+                        cov(self.x2_repeats))
+        assert_allclose(cov(self.x1, fweights=self.frequencies,
+                            aweights=self.unit_weights),
+                        self.res2)
+        assert_allclose(cov(self.x1, fweights=self.unit_frequencies,
+                            aweights=self.unit_weights),
+                        self.res1)
+        assert_allclose(cov(self.x1, fweights=self.unit_frequencies,
+                            aweights=self.weights),
+                        self.res3)
+        assert_allclose(cov(self.x1, fweights=self.unit_frequencies,
+                            aweights=3.0 * self.weights),
+                        cov(self.x1, aweights=self.weights))
+        assert_allclose(cov(self.x1, fweights=self.unit_frequencies,
+                            aweights=self.unit_weights),
+                        self.res1)
+
+    @pytest.mark.parametrize("test_type", [np.half, np.single, np.double, np.longdouble])
+    def test_cov_dtype(self, test_type):
+        cast_x1 = self.x1.astype(test_type)
+        res = cov(cast_x1, dtype=test_type)
+        assert test_type == res.dtype
+
+    def test_gh_27658(self):
+        x = np.ones((3, 1))
+        expected = np.cov(x, ddof=0, rowvar=True)
+        actual = np.cov(x.T, ddof=0, rowvar=False)
+        assert_allclose(actual, expected, strict=True)
+
+
+class Test_I0:
+
+    def test_simple(self):
+        assert_almost_equal(
+            i0(0.5),
+            np.array(1.0634833707413234))
+
+        # need at least one test above 8, as the implementation is piecewise
+        A = np.array([0.49842636, 0.6969809, 0.22011976, 0.0155549, 10.0])
+        expected = np.array([1.06307822, 1.12518299, 1.01214991, 1.00006049, 2815.71662847])
+        assert_almost_equal(i0(A), expected)
+        assert_almost_equal(i0(-A), expected)
+
+        B = np.array([[0.827002, 0.99959078],
+                      [0.89694769, 0.39298162],
+                      [0.37954418, 0.05206293],
+                      [0.36465447, 0.72446427],
+                      [0.48164949, 0.50324519]])
+        assert_almost_equal(
+            i0(B),
+            np.array([[1.17843223, 1.26583466],
+                      [1.21147086, 1.03898290],
+                      [1.03633899, 1.00067775],
+                      [1.03352052, 1.13557954],
+                      [1.05884290, 1.06432317]]))
+        # Regression test for gh-11205
+        i0_0 = np.i0([0.])
+        assert_equal(i0_0.shape, (1,))
+        assert_array_equal(np.i0([0.]), np.array([1.]))
+
+    def test_non_array(self):
+        a = np.arange(4)
+
+        class array_like:
+            __array_interface__ = a.__array_interface__
+
+            def __array_wrap__(self, arr, context, return_scalar):
+                return self
+
+        # E.g. pandas series survive ufunc calls through array-wrap:
+        assert isinstance(np.abs(array_like()), array_like)
+        exp = np.i0(a)
+        res = np.i0(array_like())
+
+        assert_array_equal(exp, res)
+
+    def test_complex(self):
+        a = np.array([0, 1 + 2j])
+        with pytest.raises(TypeError, match="i0 not supported for complex values"):
+            res = i0(a)
+
+
+class TestKaiser:
+
+    def test_simple(self):
+        assert_(np.isfinite(kaiser(1, 1.0)))
+        assert_almost_equal(kaiser(0, 1.0),
+                            np.array([]))
+        assert_almost_equal(kaiser(2, 1.0),
+                            np.array([0.78984831, 0.78984831]))
+        assert_almost_equal(kaiser(5, 1.0),
+                            np.array([0.78984831, 0.94503323, 1.,
+                                      0.94503323, 0.78984831]))
+        assert_almost_equal(kaiser(5, 1.56789),
+                            np.array([0.58285404, 0.88409679, 1.,
+                                      0.88409679, 0.58285404]))
+
+    def test_int_beta(self):
+        kaiser(3, 4)
+
+
+class TestMeshgrid:
+
+    def test_simple(self):
+        [X, Y] = meshgrid([1, 2, 3], [4, 5, 6, 7])
+        assert_array_equal(X, np.array([[1, 2, 3],
+                                        [1, 2, 3],
+                                        [1, 2, 3],
+                                        [1, 2, 3]]))
+        assert_array_equal(Y, np.array([[4, 4, 4],
+                                        [5, 5, 5],
+                                        [6, 6, 6],
+                                        [7, 7, 7]]))
+
+    def test_single_input(self):
+        [X] = meshgrid([1, 2, 3, 4])
+        assert_array_equal(X, np.array([1, 2, 3, 4]))
+
+    def test_no_input(self):
+        args = []
+        assert_array_equal([], meshgrid(*args))
+        assert_array_equal([], meshgrid(*args, copy=False))
+
+    def test_indexing(self):
+        x = [1, 2, 3]
+        y = [4, 5, 6, 7]
+        [X, Y] = meshgrid(x, y, indexing='ij')
+        assert_array_equal(X, np.array([[1, 1, 1, 1],
+                                        [2, 2, 2, 2],
+                                        [3, 3, 3, 3]]))
+        assert_array_equal(Y, np.array([[4, 5, 6, 7],
+                                        [4, 5, 6, 7],
+                                        [4, 5, 6, 7]]))
+
+        # Test expected shapes:
+        z = [8, 9]
+        assert_(meshgrid(x, y)[0].shape == (4, 3))
+        assert_(meshgrid(x, y, indexing='ij')[0].shape == (3, 4))
+        assert_(meshgrid(x, y, z)[0].shape == (4, 3, 2))
+        assert_(meshgrid(x, y, z, indexing='ij')[0].shape == (3, 4, 2))
+
+        assert_raises(ValueError, meshgrid, x, y, indexing='notvalid')
+
+    def test_sparse(self):
+        [X, Y] = meshgrid([1, 2, 3], [4, 5, 6, 7], sparse=True)
+        assert_array_equal(X, np.array([[1, 2, 3]]))
+        assert_array_equal(Y, np.array([[4], [5], [6], [7]]))
+
+    def test_invalid_arguments(self):
+        # Test that meshgrid complains about invalid arguments
+        # Regression test for issue #4755:
+        # https://github.com/numpy/numpy/issues/4755
+        assert_raises(TypeError, meshgrid,
+                      [1, 2, 3], [4, 5, 6, 7], indices='ij')
+
+    def test_return_type(self):
+        # Test for appropriate dtype in returned arrays.
+        # Regression test for issue #5297
+        # https://github.com/numpy/numpy/issues/5297
+        x = np.arange(0, 10, dtype=np.float32)
+        y = np.arange(10, 20, dtype=np.float64)
+
+        X, Y = np.meshgrid(x,y)
+
+        assert_(X.dtype == x.dtype)
+        assert_(Y.dtype == y.dtype)
+
+        # copy
+        X, Y = np.meshgrid(x,y, copy=True)
+
+        assert_(X.dtype == x.dtype)
+        assert_(Y.dtype == y.dtype)
+
+        # sparse
+        X, Y = np.meshgrid(x,y, sparse=True)
+
+        assert_(X.dtype == x.dtype)
+        assert_(Y.dtype == y.dtype)
+
+    def test_writeback(self):
+        # Issue 8561
+        X = np.array([1.1, 2.2])
+        Y = np.array([3.3, 4.4])
+        x, y = np.meshgrid(X, Y, sparse=False, copy=True)
+
+        x[0, :] = 0
+        assert_equal(x[0, :], 0)
+        assert_equal(x[1, :], X)
+
+    def test_nd_shape(self):
+        a, b, c, d, e = np.meshgrid(*([0] * i for i in range(1, 6)))
+        expected_shape = (2, 1, 3, 4, 5)
+        assert_equal(a.shape, expected_shape)
+        assert_equal(b.shape, expected_shape)
+        assert_equal(c.shape, expected_shape)
+        assert_equal(d.shape, expected_shape)
+        assert_equal(e.shape, expected_shape)
+
+    def test_nd_values(self):
+        a, b, c = np.meshgrid([0], [1, 2], [3, 4, 5])
+        assert_equal(a, [[[0, 0, 0]], [[0, 0, 0]]])
+        assert_equal(b, [[[1, 1, 1]], [[2, 2, 2]]])
+        assert_equal(c, [[[3, 4, 5]], [[3, 4, 5]]])
+
+    def test_nd_indexing(self):
+        a, b, c = np.meshgrid([0], [1, 2], [3, 4, 5], indexing='ij')
+        assert_equal(a, [[[0, 0, 0], [0, 0, 0]]])
+        assert_equal(b, [[[1, 1, 1], [2, 2, 2]]])
+        assert_equal(c, [[[3, 4, 5], [3, 4, 5]]])
+
+
+class TestPiecewise:
+
+    def test_simple(self):
+        # Condition is single bool list
+        x = piecewise([0, 0], [True, False], [1])
+        assert_array_equal(x, [1, 0])
+
+        # List of conditions: single bool list
+        x = piecewise([0, 0], [[True, False]], [1])
+        assert_array_equal(x, [1, 0])
+
+        # Conditions is single bool array
+        x = piecewise([0, 0], np.array([True, False]), [1])
+        assert_array_equal(x, [1, 0])
+
+        # Condition is single int array
+        x = piecewise([0, 0], np.array([1, 0]), [1])
+        assert_array_equal(x, [1, 0])
+
+        # List of conditions: int array
+        x = piecewise([0, 0], [np.array([1, 0])], [1])
+        assert_array_equal(x, [1, 0])
+
+        x = piecewise([0, 0], [[False, True]], [lambda x:-1])
+        assert_array_equal(x, [0, -1])
+
+        assert_raises_regex(ValueError, '1 or 2 functions are expected',
+            piecewise, [0, 0], [[False, True]], [])
+        assert_raises_regex(ValueError, '1 or 2 functions are expected',
+            piecewise, [0, 0], [[False, True]], [1, 2, 3])
+
+    def test_two_conditions(self):
+        x = piecewise([1, 2], [[True, False], [False, True]], [3, 4])
+        assert_array_equal(x, [3, 4])
+
+    def test_scalar_domains_three_conditions(self):
+        x = piecewise(3, [True, False, False], [4, 2, 0])
+        assert_equal(x, 4)
+
+    def test_default(self):
+        # No value specified for x[1], should be 0
+        x = piecewise([1, 2], [True, False], [2])
+        assert_array_equal(x, [2, 0])
+
+        # Should set x[1] to 3
+        x = piecewise([1, 2], [True, False], [2, 3])
+        assert_array_equal(x, [2, 3])
+
+    def test_0d(self):
+        x = np.array(3)
+        y = piecewise(x, x > 3, [4, 0])
+        assert_(y.ndim == 0)
+        assert_(y == 0)
+
+        x = 5
+        y = piecewise(x, [True, False], [1, 0])
+        assert_(y.ndim == 0)
+        assert_(y == 1)
+
+        # With 3 ranges (It was failing, before)
+        y = piecewise(x, [False, False, True], [1, 2, 3])
+        assert_array_equal(y, 3)
+
+    def test_0d_comparison(self):
+        x = 3
+        y = piecewise(x, [x <= 3, x > 3], [4, 0])  # Should succeed.
+        assert_equal(y, 4)
+
+        # With 3 ranges (It was failing, before)
+        x = 4
+        y = piecewise(x, [x <= 3, (x > 3) * (x <= 5), x > 5], [1, 2, 3])
+        assert_array_equal(y, 2)
+
+        assert_raises_regex(ValueError, '2 or 3 functions are expected',
+            piecewise, x, [x <= 3, x > 3], [1])
+        assert_raises_regex(ValueError, '2 or 3 functions are expected',
+            piecewise, x, [x <= 3, x > 3], [1, 1, 1, 1])
+
+    def test_0d_0d_condition(self):
+        x = np.array(3)
+        c = np.array(x > 3)
+        y = piecewise(x, [c], [1, 2])
+        assert_equal(y, 2)
+
+    def test_multidimensional_extrafunc(self):
+        x = np.array([[-2.5, -1.5, -0.5],
+                      [0.5, 1.5, 2.5]])
+        y = piecewise(x, [x < 0, x >= 2], [-1, 1, 3])
+        assert_array_equal(y, np.array([[-1., -1., -1.],
+                                        [3., 3., 1.]]))
+
+    def test_subclasses(self):
+        class subclass(np.ndarray):
+            pass
+        x = np.arange(5.).view(subclass)
+        r = piecewise(x, [x<2., x>=4], [-1., 1., 0.])
+        assert_equal(type(r), subclass)
+        assert_equal(r, [-1., -1., 0., 0., 1.])
+
+
+class TestBincount:
+
+    def test_simple(self):
+        y = np.bincount(np.arange(4))
+        assert_array_equal(y, np.ones(4))
+
+    def test_simple2(self):
+        y = np.bincount(np.array([1, 5, 2, 4, 1]))
+        assert_array_equal(y, np.array([0, 2, 1, 0, 1, 1]))
+
+    def test_simple_weight(self):
+        x = np.arange(4)
+        w = np.array([0.2, 0.3, 0.5, 0.1])
+        y = np.bincount(x, w)
+        assert_array_equal(y, w)
+
+    def test_simple_weight2(self):
+        x = np.array([1, 2, 4, 5, 2])
+        w = np.array([0.2, 0.3, 0.5, 0.1, 0.2])
+        y = np.bincount(x, w)
+        assert_array_equal(y, np.array([0, 0.2, 0.5, 0, 0.5, 0.1]))
+
+    def test_with_minlength(self):
+        x = np.array([0, 1, 0, 1, 1])
+        y = np.bincount(x, minlength=3)
+        assert_array_equal(y, np.array([2, 3, 0]))
+        x = []
+        y = np.bincount(x, minlength=0)
+        assert_array_equal(y, np.array([]))
+
+    def test_with_minlength_smaller_than_maxvalue(self):
+        x = np.array([0, 1, 1, 2, 2, 3, 3])
+        y = np.bincount(x, minlength=2)
+        assert_array_equal(y, np.array([1, 2, 2, 2]))
+        y = np.bincount(x, minlength=0)
+        assert_array_equal(y, np.array([1, 2, 2, 2]))
+
+    def test_with_minlength_and_weights(self):
+        x = np.array([1, 2, 4, 5, 2])
+        w = np.array([0.2, 0.3, 0.5, 0.1, 0.2])
+        y = np.bincount(x, w, 8)
+        assert_array_equal(y, np.array([0, 0.2, 0.5, 0, 0.5, 0.1, 0, 0]))
+
+    def test_empty(self):
+        x = np.array([], dtype=int)
+        y = np.bincount(x)
+        assert_array_equal(x, y)
+
+    def test_empty_with_minlength(self):
+        x = np.array([], dtype=int)
+        y = np.bincount(x, minlength=5)
+        assert_array_equal(y, np.zeros(5, dtype=int))
+
+    @pytest.mark.parametrize('minlength', [0, 3])
+    def test_empty_list(self, minlength):
+        assert_array_equal(np.bincount([], minlength=minlength),
+                           np.zeros(minlength, dtype=int))
+
+    def test_with_incorrect_minlength(self):
+        x = np.array([], dtype=int)
+        assert_raises_regex(TypeError,
+                            "'str' object cannot be interpreted",
+                            lambda: np.bincount(x, minlength="foobar"))
+        assert_raises_regex(ValueError,
+                            "must not be negative",
+                            lambda: np.bincount(x, minlength=-1))
+
+        x = np.arange(5)
+        assert_raises_regex(TypeError,
+                            "'str' object cannot be interpreted",
+                            lambda: np.bincount(x, minlength="foobar"))
+        assert_raises_regex(ValueError,
+                            "must not be negative",
+                            lambda: np.bincount(x, minlength=-1))
+
+    @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts")
+    def test_dtype_reference_leaks(self):
+        # gh-6805
+        intp_refcount = sys.getrefcount(np.dtype(np.intp))
+        double_refcount = sys.getrefcount(np.dtype(np.double))
+
+        for j in range(10):
+            np.bincount([1, 2, 3])
+        assert_equal(sys.getrefcount(np.dtype(np.intp)), intp_refcount)
+        assert_equal(sys.getrefcount(np.dtype(np.double)), double_refcount)
+
+        for j in range(10):
+            np.bincount([1, 2, 3], [4, 5, 6])
+        assert_equal(sys.getrefcount(np.dtype(np.intp)), intp_refcount)
+        assert_equal(sys.getrefcount(np.dtype(np.double)), double_refcount)
+
+    @pytest.mark.parametrize("vals", [[[2, 2]], 2])
+    def test_error_not_1d(self, vals):
+        # Test that values has to be 1-D (both as array and nested list)
+        vals_arr = np.asarray(vals)
+        with assert_raises(ValueError):
+            np.bincount(vals_arr)
+        with assert_raises(ValueError):
+            np.bincount(vals)
+
+    @pytest.mark.parametrize("dt", np.typecodes["AllInteger"])
+    def test_gh_28354(self, dt):
+        a = np.array([0, 1, 1, 3, 2, 1, 7], dtype=dt)
+        actual = np.bincount(a)
+        expected = [1, 3, 1, 1, 0, 0, 0, 1]
+        assert_array_equal(actual, expected)
+
+    def test_contiguous_handling(self):
+        # check for absence of hard crash
+        np.bincount(np.arange(10000)[::2])
+
+    def test_gh_28354_array_like(self):
+        class A:
+            def __array__(self):
+                return np.array([0, 1, 1, 3, 2, 1, 7], dtype=np.uint64)
+
+        a = A()
+        actual = np.bincount(a)
+        expected = [1, 3, 1, 1, 0, 0, 0, 1]
+        assert_array_equal(actual, expected)
+
+
+class TestInterp:
+
+    def test_exceptions(self):
+        assert_raises(ValueError, interp, 0, [], [])
+        assert_raises(ValueError, interp, 0, [0], [1, 2])
+        assert_raises(ValueError, interp, 0, [0, 1], [1, 2], period=0)
+        assert_raises(ValueError, interp, 0, [], [], period=360)
+        assert_raises(ValueError, interp, 0, [0], [1, 2], period=360)
+
+    def test_basic(self):
+        x = np.linspace(0, 1, 5)
+        y = np.linspace(0, 1, 5)
+        x0 = np.linspace(0, 1, 50)
+        assert_almost_equal(np.interp(x0, x, y), x0)
+
+    def test_right_left_behavior(self):
+        # Needs range of sizes to test different code paths.
+        # size ==1 is special cased, 1 < size < 5 is linear search, and
+        # size >= 5 goes through local search and possibly binary search.
+        for size in range(1, 10):
+            xp = np.arange(size, dtype=np.double)
+            yp = np.ones(size, dtype=np.double)
+            incpts = np.array([-1, 0, size - 1, size], dtype=np.double)
+            decpts = incpts[::-1]
+
+            incres = interp(incpts, xp, yp)
+            decres = interp(decpts, xp, yp)
+            inctgt = np.array([1, 1, 1, 1], dtype=float)
+            dectgt = inctgt[::-1]
+            assert_equal(incres, inctgt)
+            assert_equal(decres, dectgt)
+
+            incres = interp(incpts, xp, yp, left=0)
+            decres = interp(decpts, xp, yp, left=0)
+            inctgt = np.array([0, 1, 1, 1], dtype=float)
+            dectgt = inctgt[::-1]
+            assert_equal(incres, inctgt)
+            assert_equal(decres, dectgt)
+
+            incres = interp(incpts, xp, yp, right=2)
+            decres = interp(decpts, xp, yp, right=2)
+            inctgt = np.array([1, 1, 1, 2], dtype=float)
+            dectgt = inctgt[::-1]
+            assert_equal(incres, inctgt)
+            assert_equal(decres, dectgt)
+
+            incres = interp(incpts, xp, yp, left=0, right=2)
+            decres = interp(decpts, xp, yp, left=0, right=2)
+            inctgt = np.array([0, 1, 1, 2], dtype=float)
+            dectgt = inctgt[::-1]
+            assert_equal(incres, inctgt)
+            assert_equal(decres, dectgt)
+
+    def test_scalar_interpolation_point(self):
+        x = np.linspace(0, 1, 5)
+        y = np.linspace(0, 1, 5)
+        x0 = 0
+        assert_almost_equal(np.interp(x0, x, y), x0)
+        x0 = .3
+        assert_almost_equal(np.interp(x0, x, y), x0)
+        x0 = np.float32(.3)
+        assert_almost_equal(np.interp(x0, x, y), x0)
+        x0 = np.float64(.3)
+        assert_almost_equal(np.interp(x0, x, y), x0)
+        x0 = np.nan
+        assert_almost_equal(np.interp(x0, x, y), x0)
+
+    def test_non_finite_behavior_exact_x(self):
+        x = [1, 2, 2.5, 3, 4]
+        xp = [1, 2, 3, 4]
+        fp = [1, 2, np.inf, 4]
+        assert_almost_equal(np.interp(x, xp, fp), [1, 2, np.inf, np.inf, 4])
+        fp = [1, 2, np.nan, 4]
+        assert_almost_equal(np.interp(x, xp, fp), [1, 2, np.nan, np.nan, 4])
+
+    @pytest.fixture(params=[
+        lambda x: np.float64(x),
+        lambda x: _make_complex(x, 0),
+        lambda x: _make_complex(0, x),
+        lambda x: _make_complex(x, np.multiply(x, -2))
+    ], ids=[
+        'real',
+        'complex-real',
+        'complex-imag',
+        'complex-both'
+    ])
+    def sc(self, request):
+        """ scale function used by the below tests """
+        return request.param
+
+    def test_non_finite_any_nan(self, sc):
+        """ test that nans are propagated """
+        assert_equal(np.interp(0.5, [np.nan,      1], sc([     0,     10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [     0, np.nan], sc([     0,     10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [     0,      1], sc([np.nan,     10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [     0,      1], sc([     0, np.nan])), sc(np.nan))
+
+    def test_non_finite_inf(self, sc):
+        """ Test that interp between opposite infs gives nan """
+        assert_equal(np.interp(0.5, [-np.inf, +np.inf], sc([      0,      10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [      0,       1], sc([-np.inf, +np.inf])), sc(np.nan))
+        assert_equal(np.interp(0.5, [      0,       1], sc([+np.inf, -np.inf])), sc(np.nan))
+
+        # unless the y values are equal
+        assert_equal(np.interp(0.5, [-np.inf, +np.inf], sc([     10,      10])), sc(10))
+
+    def test_non_finite_half_inf_xf(self, sc):
+        """ Test that interp where both axes have a bound at inf gives nan """
+        assert_equal(np.interp(0.5, [-np.inf,       1], sc([-np.inf,      10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [-np.inf,       1], sc([+np.inf,      10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [-np.inf,       1], sc([      0, -np.inf])), sc(np.nan))
+        assert_equal(np.interp(0.5, [-np.inf,       1], sc([      0, +np.inf])), sc(np.nan))
+        assert_equal(np.interp(0.5, [      0, +np.inf], sc([-np.inf,      10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [      0, +np.inf], sc([+np.inf,      10])), sc(np.nan))
+        assert_equal(np.interp(0.5, [      0, +np.inf], sc([      0, -np.inf])), sc(np.nan))
+        assert_equal(np.interp(0.5, [      0, +np.inf], sc([      0, +np.inf])), sc(np.nan))
+
+    def test_non_finite_half_inf_x(self, sc):
+        """ Test interp where the x axis has a bound at inf """
+        assert_equal(np.interp(0.5, [-np.inf, -np.inf], sc([0, 10])), sc(10))
+        assert_equal(np.interp(0.5, [-np.inf, 1      ], sc([0, 10])), sc(10))
+        assert_equal(np.interp(0.5, [      0, +np.inf], sc([0, 10])), sc(0))
+        assert_equal(np.interp(0.5, [+np.inf, +np.inf], sc([0, 10])), sc(0))
+
+    def test_non_finite_half_inf_f(self, sc):
+        """ Test interp where the f axis has a bound at inf """
+        assert_equal(np.interp(0.5, [0, 1], sc([      0, -np.inf])), sc(-np.inf))
+        assert_equal(np.interp(0.5, [0, 1], sc([      0, +np.inf])), sc(+np.inf))
+        assert_equal(np.interp(0.5, [0, 1], sc([-np.inf,      10])), sc(-np.inf))
+        assert_equal(np.interp(0.5, [0, 1], sc([+np.inf,      10])), sc(+np.inf))
+        assert_equal(np.interp(0.5, [0, 1], sc([-np.inf, -np.inf])), sc(-np.inf))
+        assert_equal(np.interp(0.5, [0, 1], sc([+np.inf, +np.inf])), sc(+np.inf))
+
+    def test_complex_interp(self):
+        # test complex interpolation
+        x = np.linspace(0, 1, 5)
+        y = np.linspace(0, 1, 5) + (1 + np.linspace(0, 1, 5))*1.0j
+        x0 = 0.3
+        y0 = x0 + (1+x0)*1.0j
+        assert_almost_equal(np.interp(x0, x, y), y0)
+        # test complex left and right
+        x0 = -1
+        left = 2 + 3.0j
+        assert_almost_equal(np.interp(x0, x, y, left=left), left)
+        x0 = 2.0
+        right = 2 + 3.0j
+        assert_almost_equal(np.interp(x0, x, y, right=right), right)
+        # test complex non finite
+        x = [1, 2, 2.5, 3, 4]
+        xp = [1, 2, 3, 4]
+        fp = [1, 2+1j, np.inf, 4]
+        y = [1, 2+1j, np.inf+0.5j, np.inf, 4]
+        assert_almost_equal(np.interp(x, xp, fp), y)
+        # test complex periodic
+        x = [-180, -170, -185, 185, -10, -5, 0, 365]
+        xp = [190, -190, 350, -350]
+        fp = [5+1.0j, 10+2j, 3+3j, 4+4j]
+        y = [7.5+1.5j, 5.+1.0j, 8.75+1.75j, 6.25+1.25j, 3.+3j, 3.25+3.25j,
+             3.5+3.5j, 3.75+3.75j]
+        assert_almost_equal(np.interp(x, xp, fp, period=360), y)
+
+    def test_zero_dimensional_interpolation_point(self):
+        x = np.linspace(0, 1, 5)
+        y = np.linspace(0, 1, 5)
+        x0 = np.array(.3)
+        assert_almost_equal(np.interp(x0, x, y), x0)
+
+        xp = np.array([0, 2, 4])
+        fp = np.array([1, -1, 1])
+
+        actual = np.interp(np.array(1), xp, fp)
+        assert_equal(actual, 0)
+        assert_(isinstance(actual, np.float64))
+
+        actual = np.interp(np.array(4.5), xp, fp, period=4)
+        assert_equal(actual, 0.5)
+        assert_(isinstance(actual, np.float64))
+
+    def test_if_len_x_is_small(self):
+        xp = np.arange(0, 10, 0.0001)
+        fp = np.sin(xp)
+        assert_almost_equal(np.interp(np.pi, xp, fp), 0.0)
+
+    def test_period(self):
+        x = [-180, -170, -185, 185, -10, -5, 0, 365]
+        xp = [190, -190, 350, -350]
+        fp = [5, 10, 3, 4]
+        y = [7.5, 5., 8.75, 6.25, 3., 3.25, 3.5, 3.75]
+        assert_almost_equal(np.interp(x, xp, fp, period=360), y)
+        x = np.array(x, order='F').reshape(2, -1)
+        y = np.array(y, order='C').reshape(2, -1)
+        assert_almost_equal(np.interp(x, xp, fp, period=360), y)
+
+
+class TestPercentile:
+
+    def test_basic(self):
+        x = np.arange(8) * 0.5
+        assert_equal(np.percentile(x, 0), 0.)
+        assert_equal(np.percentile(x, 100), 3.5)
+        assert_equal(np.percentile(x, 50), 1.75)
+        x[1] = np.nan
+        assert_equal(np.percentile(x, 0), np.nan)
+        assert_equal(np.percentile(x, 0, method='nearest'), np.nan)
+        assert_equal(np.percentile(x, 0, method='inverted_cdf'), np.nan)
+        assert_equal(
+            np.percentile(x, 0, method='inverted_cdf',
+                          weights=np.ones_like(x)),
+            np.nan,
+        )
+
+    def test_fraction(self):
+        x = [Fraction(i, 2) for i in range(8)]
+
+        p = np.percentile(x, Fraction(0))
+        assert_equal(p, Fraction(0))
+        assert_equal(type(p), Fraction)
+
+        p = np.percentile(x, Fraction(100))
+        assert_equal(p, Fraction(7, 2))
+        assert_equal(type(p), Fraction)
+
+        p = np.percentile(x, Fraction(50))
+        assert_equal(p, Fraction(7, 4))
+        assert_equal(type(p), Fraction)
+
+        p = np.percentile(x, [Fraction(50)])
+        assert_equal(p, np.array([Fraction(7, 4)]))
+        assert_equal(type(p), np.ndarray)
+
+    def test_api(self):
+        d = np.ones(5)
+        np.percentile(d, 5, None, None, False)
+        np.percentile(d, 5, None, None, False, 'linear')
+        o = np.ones((1,))
+        np.percentile(d, 5, None, o, False, 'linear')
+
+    def test_complex(self):
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G')
+        assert_raises(TypeError, np.percentile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D')
+        assert_raises(TypeError, np.percentile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F')
+        assert_raises(TypeError, np.percentile, arr_c, 0.5)
+
+    def test_2D(self):
+        x = np.array([[1, 1, 1],
+                      [1, 1, 1],
+                      [4, 4, 3],
+                      [1, 1, 1],
+                      [1, 1, 1]])
+        assert_array_equal(np.percentile(x, 50, axis=0), [1, 1, 1])
+
+    @pytest.mark.parametrize("dtype", np.typecodes["Float"])
+    def test_linear_nan_1D(self, dtype):
+        # METHOD 1 of H&F
+        arr = np.asarray([15.0, np.nan, 35.0, 40.0, 50.0], dtype=dtype)
+        res = np.percentile(
+            arr,
+            40.0,
+            method="linear")
+        np.testing.assert_equal(res, np.nan)
+        np.testing.assert_equal(res.dtype, arr.dtype)
+
+    H_F_TYPE_CODES = [(int_type, np.float64)
+                      for int_type in np.typecodes["AllInteger"]
+                      ] + [(np.float16, np.float16),
+                           (np.float32, np.float32),
+                           (np.float64, np.float64),
+                           (np.longdouble, np.longdouble),
+                           (np.dtype("O"), np.float64)]
+
+    @pytest.mark.parametrize(["function", "quantile"],
+                             [(np.quantile, 0.4),
+                              (np.percentile, 40.0)])
+    @pytest.mark.parametrize(["input_dtype", "expected_dtype"], H_F_TYPE_CODES)
+    @pytest.mark.parametrize(["method", "weighted", "expected"],
+                              [("inverted_cdf", False, 20),
+                              ("inverted_cdf", True, 20),
+                              ("averaged_inverted_cdf", False, 27.5),
+                              ("closest_observation", False, 20),
+                              ("interpolated_inverted_cdf", False, 20),
+                              ("hazen", False, 27.5),
+                              ("weibull", False, 26),
+                              ("linear", False, 29),
+                              ("median_unbiased", False, 27),
+                              ("normal_unbiased", False, 27.125),
+                               ])
+    def test_linear_interpolation(self,
+                                  function,
+                                  quantile,
+                                  method,
+                                  weighted,
+                                  expected,
+                                  input_dtype,
+                                  expected_dtype):
+        expected_dtype = np.dtype(expected_dtype)
+
+        arr = np.asarray([15.0, 20.0, 35.0, 40.0, 50.0], dtype=input_dtype)
+        weights = np.ones_like(arr) if weighted else None
+        if input_dtype is np.longdouble:
+            if function is np.quantile:
+                # 0.4 is not exactly representable and it matters
+                # for "averaged_inverted_cdf", so we need to cheat.
+                quantile = input_dtype("0.4")
+            # We want to use nulp, but that does not work for longdouble
+            test_function = np.testing.assert_almost_equal
+        else:
+            test_function = np.testing.assert_array_almost_equal_nulp
+
+        actual = function(arr, quantile, method=method, weights=weights)
+
+        test_function(actual, expected_dtype.type(expected))
+
+        if method in ["inverted_cdf", "closest_observation"]:
+            if input_dtype == "O":
+                np.testing.assert_equal(np.asarray(actual).dtype, np.float64)
+            else:
+                np.testing.assert_equal(np.asarray(actual).dtype,
+                                        np.dtype(input_dtype))
+        else:
+            np.testing.assert_equal(np.asarray(actual).dtype,
+                                    np.dtype(expected_dtype))
+
+    TYPE_CODES = np.typecodes["AllInteger"] + np.typecodes["Float"] + "O"
+
+    @pytest.mark.parametrize("dtype", TYPE_CODES)
+    def test_lower_higher(self, dtype):
+        assert_equal(np.percentile(np.arange(10, dtype=dtype), 50,
+                                   method='lower'), 4)
+        assert_equal(np.percentile(np.arange(10, dtype=dtype), 50,
+                                   method='higher'), 5)
+
+    @pytest.mark.parametrize("dtype", TYPE_CODES)
+    def test_midpoint(self, dtype):
+        assert_equal(np.percentile(np.arange(10, dtype=dtype), 51,
+                                   method='midpoint'), 4.5)
+        assert_equal(np.percentile(np.arange(9, dtype=dtype) + 1, 50,
+                                   method='midpoint'), 5)
+        assert_equal(np.percentile(np.arange(11, dtype=dtype), 51,
+                                   method='midpoint'), 5.5)
+        assert_equal(np.percentile(np.arange(11, dtype=dtype), 50,
+                                   method='midpoint'), 5)
+
+    @pytest.mark.parametrize("dtype", TYPE_CODES)
+    def test_nearest(self, dtype):
+        assert_equal(np.percentile(np.arange(10, dtype=dtype), 51,
+                                   method='nearest'), 5)
+        assert_equal(np.percentile(np.arange(10, dtype=dtype), 49,
+                                   method='nearest'), 4)
+
+    def test_linear_interpolation_extrapolation(self):
+        arr = np.random.rand(5)
+
+        actual = np.percentile(arr, 100)
+        np.testing.assert_equal(actual, arr.max())
+
+        actual = np.percentile(arr, 0)
+        np.testing.assert_equal(actual, arr.min())
+
+    def test_sequence(self):
+        x = np.arange(8) * 0.5
+        assert_equal(np.percentile(x, [0, 100, 50]), [0, 3.5, 1.75])
+
+    def test_axis(self):
+        x = np.arange(12).reshape(3, 4)
+
+        assert_equal(np.percentile(x, (25, 50, 100)), [2.75, 5.5, 11.0])
+
+        r0 = [[2, 3, 4, 5], [4, 5, 6, 7], [8, 9, 10, 11]]
+        assert_equal(np.percentile(x, (25, 50, 100), axis=0), r0)
+
+        r1 = [[0.75, 1.5, 3], [4.75, 5.5, 7], [8.75, 9.5, 11]]
+        assert_equal(np.percentile(x, (25, 50, 100), axis=1), np.array(r1).T)
+
+        # ensure qth axis is always first as with np.array(old_percentile(..))
+        x = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6)
+        assert_equal(np.percentile(x, (25, 50)).shape, (2,))
+        assert_equal(np.percentile(x, (25, 50, 75)).shape, (3,))
+        assert_equal(np.percentile(x, (25, 50), axis=0).shape, (2, 4, 5, 6))
+        assert_equal(np.percentile(x, (25, 50), axis=1).shape, (2, 3, 5, 6))
+        assert_equal(np.percentile(x, (25, 50), axis=2).shape, (2, 3, 4, 6))
+        assert_equal(np.percentile(x, (25, 50), axis=3).shape, (2, 3, 4, 5))
+        assert_equal(
+            np.percentile(x, (25, 50, 75), axis=1).shape, (3, 3, 5, 6))
+        assert_equal(np.percentile(x, (25, 50),
+                                   method="higher").shape, (2,))
+        assert_equal(np.percentile(x, (25, 50, 75),
+                                   method="higher").shape, (3,))
+        assert_equal(np.percentile(x, (25, 50), axis=0,
+                                   method="higher").shape, (2, 4, 5, 6))
+        assert_equal(np.percentile(x, (25, 50), axis=1,
+                                   method="higher").shape, (2, 3, 5, 6))
+        assert_equal(np.percentile(x, (25, 50), axis=2,
+                                   method="higher").shape, (2, 3, 4, 6))
+        assert_equal(np.percentile(x, (25, 50), axis=3,
+                                   method="higher").shape, (2, 3, 4, 5))
+        assert_equal(np.percentile(x, (25, 50, 75), axis=1,
+                                   method="higher").shape, (3, 3, 5, 6))
+
+    def test_scalar_q(self):
+        # test for no empty dimensions for compatibility with old percentile
+        x = np.arange(12).reshape(3, 4)
+        assert_equal(np.percentile(x, 50), 5.5)
+        assert_(np.isscalar(np.percentile(x, 50)))
+        r0 = np.array([4.,  5.,  6.,  7.])
+        assert_equal(np.percentile(x, 50, axis=0), r0)
+        assert_equal(np.percentile(x, 50, axis=0).shape, r0.shape)
+        r1 = np.array([1.5,  5.5,  9.5])
+        assert_almost_equal(np.percentile(x, 50, axis=1), r1)
+        assert_equal(np.percentile(x, 50, axis=1).shape, r1.shape)
+
+        out = np.empty(1)
+        assert_equal(np.percentile(x, 50, out=out), 5.5)
+        assert_equal(out, 5.5)
+        out = np.empty(4)
+        assert_equal(np.percentile(x, 50, axis=0, out=out), r0)
+        assert_equal(out, r0)
+        out = np.empty(3)
+        assert_equal(np.percentile(x, 50, axis=1, out=out), r1)
+        assert_equal(out, r1)
+
+        # test for no empty dimensions for compatibility with old percentile
+        x = np.arange(12).reshape(3, 4)
+        assert_equal(np.percentile(x, 50, method='lower'), 5.)
+        assert_(np.isscalar(np.percentile(x, 50)))
+        r0 = np.array([4.,  5.,  6.,  7.])
+        c0 = np.percentile(x, 50, method='lower', axis=0)
+        assert_equal(c0, r0)
+        assert_equal(c0.shape, r0.shape)
+        r1 = np.array([1.,  5.,  9.])
+        c1 = np.percentile(x, 50, method='lower', axis=1)
+        assert_almost_equal(c1, r1)
+        assert_equal(c1.shape, r1.shape)
+
+        out = np.empty((), dtype=x.dtype)
+        c = np.percentile(x, 50, method='lower', out=out)
+        assert_equal(c, 5)
+        assert_equal(out, 5)
+        out = np.empty(4, dtype=x.dtype)
+        c = np.percentile(x, 50, method='lower', axis=0, out=out)
+        assert_equal(c, r0)
+        assert_equal(out, r0)
+        out = np.empty(3, dtype=x.dtype)
+        c = np.percentile(x, 50, method='lower', axis=1, out=out)
+        assert_equal(c, r1)
+        assert_equal(out, r1)
+
+    def test_exception(self):
+        assert_raises(ValueError, np.percentile, [1, 2], 56,
+                      method='foobar')
+        assert_raises(ValueError, np.percentile, [1], 101)
+        assert_raises(ValueError, np.percentile, [1], -1)
+        assert_raises(ValueError, np.percentile, [1], list(range(50)) + [101])
+        assert_raises(ValueError, np.percentile, [1], list(range(50)) + [-0.1])
+
+    def test_percentile_list(self):
+        assert_equal(np.percentile([1, 2, 3], 0), 1)
+
+    @pytest.mark.parametrize(
+        "percentile, with_weights",
+        [
+            (np.percentile, False),
+            (partial(np.percentile, method="inverted_cdf"), True),
+        ]
+    )
+    def test_percentile_out(self, percentile, with_weights):
+        out_dtype = int if with_weights else float
+        x = np.array([1, 2, 3])
+        y = np.zeros((3,), dtype=out_dtype)
+        p = (1, 2, 3)
+        weights = np.ones_like(x) if with_weights else None
+        r = percentile(x, p, out=y, weights=weights)
+        assert r is y
+        assert_equal(percentile(x, p, weights=weights), y)
+
+        x = np.array([[1, 2, 3],
+                      [4, 5, 6]])
+        y = np.zeros((3, 3), dtype=out_dtype)
+        weights = np.ones_like(x) if with_weights else None
+        r = percentile(x, p, axis=0, out=y, weights=weights)
+        assert r is y
+        assert_equal(percentile(x, p, weights=weights, axis=0), y)
+
+        y = np.zeros((3, 2), dtype=out_dtype)
+        percentile(x, p, axis=1, out=y, weights=weights)
+        assert_equal(percentile(x, p, weights=weights, axis=1), y)
+
+        x = np.arange(12).reshape(3, 4)
+        # q.dim > 1, float
+        if with_weights:
+            r0 = np.array([[0, 1, 2, 3], [4, 5, 6, 7]])
+        else:
+            r0 = np.array([[2., 3., 4., 5.], [4., 5., 6., 7.]])
+        out = np.empty((2, 4), dtype=out_dtype)
+        weights = np.ones_like(x) if with_weights else None
+        assert_equal(
+            percentile(x, (25, 50), axis=0, out=out, weights=weights), r0
+        )
+        assert_equal(out, r0)
+        r1 = np.array([[0.75,  4.75,  8.75], [1.5,  5.5,  9.5]])
+        out = np.empty((2, 3))
+        assert_equal(np.percentile(x, (25, 50), axis=1, out=out), r1)
+        assert_equal(out, r1)
+
+        # q.dim > 1, int
+        r0 = np.array([[0,  1,  2, 3], [4, 5, 6, 7]])
+        out = np.empty((2, 4), dtype=x.dtype)
+        c = np.percentile(x, (25, 50), method='lower', axis=0, out=out)
+        assert_equal(c, r0)
+        assert_equal(out, r0)
+        r1 = np.array([[0,  4,  8], [1,  5,  9]])
+        out = np.empty((2, 3), dtype=x.dtype)
+        c = np.percentile(x, (25, 50), method='lower', axis=1, out=out)
+        assert_equal(c, r1)
+        assert_equal(out, r1)
+
+    def test_percentile_empty_dim(self):
+        # empty dims are preserved
+        d = np.arange(11 * 2).reshape(11, 1, 2, 1)
+        assert_array_equal(np.percentile(d, 50, axis=0).shape, (1, 2, 1))
+        assert_array_equal(np.percentile(d, 50, axis=1).shape, (11, 2, 1))
+        assert_array_equal(np.percentile(d, 50, axis=2).shape, (11, 1, 1))
+        assert_array_equal(np.percentile(d, 50, axis=3).shape, (11, 1, 2))
+        assert_array_equal(np.percentile(d, 50, axis=-1).shape, (11, 1, 2))
+        assert_array_equal(np.percentile(d, 50, axis=-2).shape, (11, 1, 1))
+        assert_array_equal(np.percentile(d, 50, axis=-3).shape, (11, 2, 1))
+        assert_array_equal(np.percentile(d, 50, axis=-4).shape, (1, 2, 1))
+
+        assert_array_equal(np.percentile(d, 50, axis=2,
+                                         method='midpoint').shape,
+                           (11, 1, 1))
+        assert_array_equal(np.percentile(d, 50, axis=-2,
+                                         method='midpoint').shape,
+                           (11, 1, 1))
+
+        assert_array_equal(np.array(np.percentile(d, [10, 50], axis=0)).shape,
+                           (2, 1, 2, 1))
+        assert_array_equal(np.array(np.percentile(d, [10, 50], axis=1)).shape,
+                           (2, 11, 2, 1))
+        assert_array_equal(np.array(np.percentile(d, [10, 50], axis=2)).shape,
+                           (2, 11, 1, 1))
+        assert_array_equal(np.array(np.percentile(d, [10, 50], axis=3)).shape,
+                           (2, 11, 1, 2))
+
+    def test_percentile_no_overwrite(self):
+        a = np.array([2, 3, 4, 1])
+        np.percentile(a, [50], overwrite_input=False)
+        assert_equal(a, np.array([2, 3, 4, 1]))
+
+        a = np.array([2, 3, 4, 1])
+        np.percentile(a, [50])
+        assert_equal(a, np.array([2, 3, 4, 1]))
+
+    def test_no_p_overwrite(self):
+        p = np.linspace(0., 100., num=5)
+        np.percentile(np.arange(100.), p, method="midpoint")
+        assert_array_equal(p, np.linspace(0., 100., num=5))
+        p = np.linspace(0., 100., num=5).tolist()
+        np.percentile(np.arange(100.), p, method="midpoint")
+        assert_array_equal(p, np.linspace(0., 100., num=5).tolist())
+
+    def test_percentile_overwrite(self):
+        a = np.array([2, 3, 4, 1])
+        b = np.percentile(a, [50], overwrite_input=True)
+        assert_equal(b, np.array([2.5]))
+
+        b = np.percentile([2, 3, 4, 1], [50], overwrite_input=True)
+        assert_equal(b, np.array([2.5]))
+
+    def test_extended_axis(self):
+        o = np.random.normal(size=(71, 23))
+        x = np.dstack([o] * 10)
+        assert_equal(np.percentile(x, 30, axis=(0, 1)), np.percentile(o, 30))
+        x = np.moveaxis(x, -1, 0)
+        assert_equal(np.percentile(x, 30, axis=(-2, -1)), np.percentile(o, 30))
+        x = x.swapaxes(0, 1).copy()
+        assert_equal(np.percentile(x, 30, axis=(0, -1)), np.percentile(o, 30))
+        x = x.swapaxes(0, 1).copy()
+
+        assert_equal(np.percentile(x, [25, 60], axis=(0, 1, 2)),
+                     np.percentile(x, [25, 60], axis=None))
+        assert_equal(np.percentile(x, [25, 60], axis=(0,)),
+                     np.percentile(x, [25, 60], axis=0))
+
+        d = np.arange(3 * 5 * 7 * 11).reshape((3, 5, 7, 11))
+        np.random.shuffle(d.ravel())
+        assert_equal(np.percentile(d, 25,  axis=(0, 1, 2))[0],
+                     np.percentile(d[:,:,:, 0].flatten(), 25))
+        assert_equal(np.percentile(d, [10, 90], axis=(0, 1, 3))[:, 1],
+                     np.percentile(d[:,:, 1,:].flatten(), [10, 90]))
+        assert_equal(np.percentile(d, 25, axis=(3, 1, -4))[2],
+                     np.percentile(d[:,:, 2,:].flatten(), 25))
+        assert_equal(np.percentile(d, 25, axis=(3, 1, 2))[2],
+                     np.percentile(d[2,:,:,:].flatten(), 25))
+        assert_equal(np.percentile(d, 25, axis=(3, 2))[2, 1],
+                     np.percentile(d[2, 1,:,:].flatten(), 25))
+        assert_equal(np.percentile(d, 25, axis=(1, -2))[2, 1],
+                     np.percentile(d[2,:,:, 1].flatten(), 25))
+        assert_equal(np.percentile(d, 25, axis=(1, 3))[2, 2],
+                     np.percentile(d[2,:, 2,:].flatten(), 25))
+
+    def test_extended_axis_invalid(self):
+        d = np.ones((3, 5, 7, 11))
+        assert_raises(AxisError, np.percentile, d, axis=-5, q=25)
+        assert_raises(AxisError, np.percentile, d, axis=(0, -5), q=25)
+        assert_raises(AxisError, np.percentile, d, axis=4, q=25)
+        assert_raises(AxisError, np.percentile, d, axis=(0, 4), q=25)
+        # each of these refers to the same axis twice
+        assert_raises(ValueError, np.percentile, d, axis=(1, 1), q=25)
+        assert_raises(ValueError, np.percentile, d, axis=(-1, -1), q=25)
+        assert_raises(ValueError, np.percentile, d, axis=(3, -1), q=25)
+
+    def test_keepdims(self):
+        d = np.ones((3, 5, 7, 11))
+        assert_equal(np.percentile(d, 7, axis=None, keepdims=True).shape,
+                     (1, 1, 1, 1))
+        assert_equal(np.percentile(d, 7, axis=(0, 1), keepdims=True).shape,
+                     (1, 1, 7, 11))
+        assert_equal(np.percentile(d, 7, axis=(0, 3), keepdims=True).shape,
+                     (1, 5, 7, 1))
+        assert_equal(np.percentile(d, 7, axis=(1,), keepdims=True).shape,
+                     (3, 1, 7, 11))
+        assert_equal(np.percentile(d, 7, (0, 1, 2, 3), keepdims=True).shape,
+                     (1, 1, 1, 1))
+        assert_equal(np.percentile(d, 7, axis=(0, 1, 3), keepdims=True).shape,
+                     (1, 1, 7, 1))
+
+        assert_equal(np.percentile(d, [1, 7], axis=(0, 1, 3),
+                                   keepdims=True).shape, (2, 1, 1, 7, 1))
+        assert_equal(np.percentile(d, [1, 7], axis=(0, 3),
+                                   keepdims=True).shape, (2, 1, 5, 7, 1))
+
+    @pytest.mark.parametrize('q', [7, [1, 7]])
+    @pytest.mark.parametrize(
+        argnames='axis',
+        argvalues=[
+            None,
+            1,
+            (1,),
+            (0, 1),
+            (-3, -1),
+        ]
+    )
+    def test_keepdims_out(self, q, axis):
+        d = np.ones((3, 5, 7, 11))
+        if axis is None:
+            shape_out = (1,) * d.ndim
+        else:
+            axis_norm = normalize_axis_tuple(axis, d.ndim)
+            shape_out = tuple(
+                1 if i in axis_norm else d.shape[i] for i in range(d.ndim))
+        shape_out = np.shape(q) + shape_out
+
+        out = np.empty(shape_out)
+        result = np.percentile(d, q, axis=axis, keepdims=True, out=out)
+        assert result is out
+        assert_equal(result.shape, shape_out)
+
+    def test_out(self):
+        o = np.zeros((4,))
+        d = np.ones((3, 4))
+        assert_equal(np.percentile(d, 0, 0, out=o), o)
+        assert_equal(np.percentile(d, 0, 0, method='nearest', out=o), o)
+        o = np.zeros((3,))
+        assert_equal(np.percentile(d, 1, 1, out=o), o)
+        assert_equal(np.percentile(d, 1, 1, method='nearest', out=o), o)
+
+        o = np.zeros(())
+        assert_equal(np.percentile(d, 2, out=o), o)
+        assert_equal(np.percentile(d, 2, method='nearest', out=o), o)
+
+    @pytest.mark.parametrize("method, weighted", [
+        ("linear", False),
+        ("nearest", False),
+        ("inverted_cdf", False),
+        ("inverted_cdf", True),
+    ])
+    def test_out_nan(self, method, weighted):
+        if weighted:
+            kwargs = {"weights": np.ones((3, 4)), "method": method}
+        else:
+            kwargs = {"method": method}
+        with warnings.catch_warnings(record=True):
+            warnings.filterwarnings('always', '', RuntimeWarning)
+            o = np.zeros((4,))
+            d = np.ones((3, 4))
+            d[2, 1] = np.nan
+            assert_equal(np.percentile(d, 0, 0, out=o, **kwargs), o)
+
+            o = np.zeros((3,))
+            assert_equal(np.percentile(d, 1, 1, out=o, **kwargs), o)
+
+            o = np.zeros(())
+            assert_equal(np.percentile(d, 1, out=o, **kwargs), o)
+
+    def test_nan_behavior(self):
+        a = np.arange(24, dtype=float)
+        a[2] = np.nan
+        assert_equal(np.percentile(a, 0.3), np.nan)
+        assert_equal(np.percentile(a, 0.3, axis=0), np.nan)
+        assert_equal(np.percentile(a, [0.3, 0.6], axis=0),
+                     np.array([np.nan] * 2))
+
+        a = np.arange(24, dtype=float).reshape(2, 3, 4)
+        a[1, 2, 3] = np.nan
+        a[1, 1, 2] = np.nan
+
+        # no axis
+        assert_equal(np.percentile(a, 0.3), np.nan)
+        assert_equal(np.percentile(a, 0.3).ndim, 0)
+
+        # axis0 zerod
+        b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4), 0.3, 0)
+        b[2, 3] = np.nan
+        b[1, 2] = np.nan
+        assert_equal(np.percentile(a, 0.3, 0), b)
+
+        # axis0 not zerod
+        b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4),
+                          [0.3, 0.6], 0)
+        b[:, 2, 3] = np.nan
+        b[:, 1, 2] = np.nan
+        assert_equal(np.percentile(a, [0.3, 0.6], 0), b)
+
+        # axis1 zerod
+        b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4), 0.3, 1)
+        b[1, 3] = np.nan
+        b[1, 2] = np.nan
+        assert_equal(np.percentile(a, 0.3, 1), b)
+        # axis1 not zerod
+        b = np.percentile(
+            np.arange(24, dtype=float).reshape(2, 3, 4), [0.3, 0.6], 1)
+        b[:, 1, 3] = np.nan
+        b[:, 1, 2] = np.nan
+        assert_equal(np.percentile(a, [0.3, 0.6], 1), b)
+
+        # axis02 zerod
+        b = np.percentile(
+            np.arange(24, dtype=float).reshape(2, 3, 4), 0.3, (0, 2))
+        b[1] = np.nan
+        b[2] = np.nan
+        assert_equal(np.percentile(a, 0.3, (0, 2)), b)
+        # axis02 not zerod
+        b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4),
+                          [0.3, 0.6], (0, 2))
+        b[:, 1] = np.nan
+        b[:, 2] = np.nan
+        assert_equal(np.percentile(a, [0.3, 0.6], (0, 2)), b)
+        # axis02 not zerod with method='nearest'
+        b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4),
+                          [0.3, 0.6], (0, 2), method='nearest')
+        b[:, 1] = np.nan
+        b[:, 2] = np.nan
+        assert_equal(np.percentile(
+            a, [0.3, 0.6], (0, 2), method='nearest'), b)
+
+    def test_nan_q(self):
+        # GH18830
+        with pytest.raises(ValueError, match="Percentiles must be in"):
+            np.percentile([1, 2, 3, 4.0], np.nan)
+        with pytest.raises(ValueError, match="Percentiles must be in"):
+            np.percentile([1, 2, 3, 4.0], [np.nan])
+        q = np.linspace(1.0, 99.0, 16)
+        q[0] = np.nan
+        with pytest.raises(ValueError, match="Percentiles must be in"):
+            np.percentile([1, 2, 3, 4.0], q)
+
+    @pytest.mark.parametrize("dtype", ["m8[D]", "M8[s]"])
+    @pytest.mark.parametrize("pos", [0, 23, 10])
+    def test_nat_basic(self, dtype, pos):
+        # TODO: Note that times have dubious rounding as of fixing NaTs!
+        # NaT and NaN should behave the same, do basic tests for NaT:
+        a = np.arange(0, 24, dtype=dtype)
+        a[pos] = "NaT"
+        res = np.percentile(a, 30)
+        assert res.dtype == dtype
+        assert np.isnat(res)
+        res = np.percentile(a, [30, 60])
+        assert res.dtype == dtype
+        assert np.isnat(res).all()
+
+        a = np.arange(0, 24*3, dtype=dtype).reshape(-1, 3)
+        a[pos, 1] = "NaT"
+        res = np.percentile(a, 30, axis=0)
+        assert_array_equal(np.isnat(res), [False, True, False])
+
+
+quantile_methods = [
+    'inverted_cdf', 'averaged_inverted_cdf', 'closest_observation',
+    'interpolated_inverted_cdf', 'hazen', 'weibull', 'linear',
+    'median_unbiased', 'normal_unbiased', 'nearest', 'lower', 'higher',
+    'midpoint']
+
+
+methods_supporting_weights = ["inverted_cdf"]
+
+
+class TestQuantile:
+    # most of this is already tested by TestPercentile
+
+    def V(self, x, y, alpha):
+        # Identification function used in several tests.
+        return (x >= y) - alpha
+
+    def test_max_ulp(self):
+        x = [0.0, 0.2, 0.4]
+        a = np.quantile(x, 0.45)
+        # The default linear method would result in 0 + 0.2 * (0.45/2) = 0.18.
+        # 0.18 is not exactly representable and the formula leads to a 1 ULP
+        # different result. Ensure it is this exact within 1 ULP, see gh-20331.
+        np.testing.assert_array_max_ulp(a, 0.18, maxulp=1)
+
+    def test_basic(self):
+        x = np.arange(8) * 0.5
+        assert_equal(np.quantile(x, 0), 0.)
+        assert_equal(np.quantile(x, 1), 3.5)
+        assert_equal(np.quantile(x, 0.5), 1.75)
+
+    def test_correct_quantile_value(self):
+        a = np.array([True])
+        tf_quant = np.quantile(True, False)
+        assert_equal(tf_quant, a[0])
+        assert_equal(type(tf_quant), a.dtype)
+        a = np.array([False, True, True])
+        quant_res = np.quantile(a, a)
+        assert_array_equal(quant_res, a)
+        assert_equal(quant_res.dtype, a.dtype)
+
+    def test_fraction(self):
+        # fractional input, integral quantile
+        x = [Fraction(i, 2) for i in range(8)]
+        q = np.quantile(x, 0)
+        assert_equal(q, 0)
+        assert_equal(type(q), Fraction)
+
+        q = np.quantile(x, 1)
+        assert_equal(q, Fraction(7, 2))
+        assert_equal(type(q), Fraction)
+
+        q = np.quantile(x, .5)
+        assert_equal(q, 1.75)
+        assert_equal(type(q), np.float64)
+
+        q = np.quantile(x, Fraction(1, 2))
+        assert_equal(q, Fraction(7, 4))
+        assert_equal(type(q), Fraction)
+
+        q = np.quantile(x, [Fraction(1, 2)])
+        assert_equal(q, np.array([Fraction(7, 4)]))
+        assert_equal(type(q), np.ndarray)
+
+        q = np.quantile(x, [[Fraction(1, 2)]])
+        assert_equal(q, np.array([[Fraction(7, 4)]]))
+        assert_equal(type(q), np.ndarray)
+
+        # repeat with integral input but fractional quantile
+        x = np.arange(8)
+        assert_equal(np.quantile(x, Fraction(1, 2)), Fraction(7, 2))
+
+    def test_complex(self):
+        #See gh-22652
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G')
+        assert_raises(TypeError, np.quantile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D')
+        assert_raises(TypeError, np.quantile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F')
+        assert_raises(TypeError, np.quantile, arr_c, 0.5)
+
+    def test_no_p_overwrite(self):
+        # this is worth retesting, because quantile does not make a copy
+        p0 = np.array([0, 0.75, 0.25, 0.5, 1.0])
+        p = p0.copy()
+        np.quantile(np.arange(100.), p, method="midpoint")
+        assert_array_equal(p, p0)
+
+        p0 = p0.tolist()
+        p = p.tolist()
+        np.quantile(np.arange(100.), p, method="midpoint")
+        assert_array_equal(p, p0)
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllInteger"])
+    def test_quantile_preserve_int_type(self, dtype):
+        res = np.quantile(np.array([1, 2], dtype=dtype), [0.5],
+                          method="nearest")
+        assert res.dtype == dtype
+
+    @pytest.mark.parametrize("method", quantile_methods)
+    def test_q_zero_one(self, method):
+        # gh-24710
+        arr = [10, 11, 12]
+        quantile = np.quantile(arr, q = [0, 1], method=method)
+        assert_equal(quantile,  np.array([10, 12]))
+
+    @pytest.mark.parametrize("method", quantile_methods)
+    def test_quantile_monotonic(self, method):
+        # GH 14685
+        # test that the return value of quantile is monotonic if p0 is ordered
+        # Also tests that the boundary values are not mishandled.
+        p0 = np.linspace(0, 1, 101)
+        quantile = np.quantile(np.array([0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 1, 1, 9, 9, 9,
+                                         8, 8, 7]) * 0.1, p0, method=method)
+        assert_equal(np.sort(quantile), quantile)
+
+        # Also test one where the number of data points is clearly divisible:
+        quantile = np.quantile([0., 1., 2., 3.], p0, method=method)
+        assert_equal(np.sort(quantile), quantile)
+
+    @hypothesis.given(
+            arr=arrays(dtype=np.float64,
+                       shape=st.integers(min_value=3, max_value=1000),
+                       elements=st.floats(allow_infinity=False, allow_nan=False,
+                                          min_value=-1e300, max_value=1e300)))
+    def test_quantile_monotonic_hypo(self, arr):
+        p0 = np.arange(0, 1, 0.01)
+        quantile = np.quantile(arr, p0)
+        assert_equal(np.sort(quantile), quantile)
+
+    def test_quantile_scalar_nan(self):
+        a = np.array([[10., 7., 4.], [3., 2., 1.]])
+        a[0][1] = np.nan
+        actual = np.quantile(a, 0.5)
+        assert np.isscalar(actual)
+        assert_equal(np.quantile(a, 0.5), np.nan)
+
+    @pytest.mark.parametrize("weights", [False, True])
+    @pytest.mark.parametrize("method", quantile_methods)
+    @pytest.mark.parametrize("alpha", [0.2, 0.5, 0.9])
+    def test_quantile_identification_equation(self, weights, method, alpha):
+        # Test that the identification equation holds for the empirical
+        # CDF:
+        #   E[V(x, Y)] = 0  <=>  x is quantile
+        # with Y the random variable for which we have observed values and
+        # V(x, y) the canonical identification function for the quantile (at
+        # level alpha), see
+        # https://doi.org/10.48550/arXiv.0912.0902
+        if weights and method not in methods_supporting_weights:
+            pytest.skip("Weights not supported by method.")
+        rng = np.random.default_rng(4321)
+        # We choose n and alpha such that we cover 3 cases:
+        #  - n * alpha is an integer
+        #  - n * alpha is a float that gets rounded down
+        #  - n * alpha is a float that gest rounded up
+        n = 102  # n * alpha = 20.4, 51. , 91.8
+        y = rng.random(n)
+        w = rng.integers(low=0, high=10, size=n) if weights else None
+        x = np.quantile(y, alpha, method=method, weights=w)
+
+        if method in ("higher",):
+            # These methods do not fulfill the identification equation.
+            assert np.abs(np.mean(self.V(x, y, alpha))) > 0.1 / n
+        elif int(n * alpha) == n * alpha and not weights:
+            # We can expect exact results, up to machine precision.
+            assert_allclose(
+                np.average(self.V(x, y, alpha), weights=w), 0, atol=1e-14,
+            )
+        else:
+            # V = (x >= y) - alpha cannot sum to zero exactly but within
+            # "sample precision".
+            assert_allclose(np.average(self.V(x, y, alpha), weights=w), 0,
+                atol=1 / n / np.amin([alpha, 1 - alpha]))
+
+    @pytest.mark.parametrize("weights", [False, True])
+    @pytest.mark.parametrize("method", quantile_methods)
+    @pytest.mark.parametrize("alpha", [0.2, 0.5, 0.9])
+    def test_quantile_add_and_multiply_constant(self, weights, method, alpha):
+        # Test that
+        #  1. quantile(c + x) = c + quantile(x)
+        #  2. quantile(c * x) = c * quantile(x)
+        #  3. quantile(-x) = -quantile(x, 1 - alpha)
+        #     On empirical quantiles, this equation does not hold exactly.
+        # Koenker (2005) "Quantile Regression" Chapter 2.2.3 calls these
+        # properties equivariance.
+        if weights and method not in methods_supporting_weights:
+            pytest.skip("Weights not supported by method.")
+        rng = np.random.default_rng(4321)
+        # We choose n and alpha such that we have cases for
+        #  - n * alpha is an integer
+        #  - n * alpha is a float that gets rounded down
+        #  - n * alpha is a float that gest rounded up
+        n = 102  # n * alpha = 20.4, 51. , 91.8
+        y = rng.random(n)
+        w = rng.integers(low=0, high=10, size=n) if weights else None
+        q = np.quantile(y, alpha, method=method, weights=w)
+        c = 13.5
+
+        # 1
+        assert_allclose(np.quantile(c + y, alpha, method=method, weights=w),
+                        c + q)
+        # 2
+        assert_allclose(np.quantile(c * y, alpha, method=method, weights=w),
+                        c * q)
+        # 3
+        if weights:
+            # From here on, we would need more methods to support weights.
+            return
+        q = -np.quantile(-y, 1 - alpha, method=method)
+        if method == "inverted_cdf":
+            if (
+                n * alpha == int(n * alpha)
+                or np.round(n * alpha) == int(n * alpha) + 1
+            ):
+                assert_allclose(q, np.quantile(y, alpha, method="higher"))
+            else:
+                assert_allclose(q, np.quantile(y, alpha, method="lower"))
+        elif method == "closest_observation":
+            if n * alpha == int(n * alpha):
+                assert_allclose(q, np.quantile(y, alpha, method="higher"))
+            elif np.round(n * alpha) == int(n * alpha) + 1:
+                assert_allclose(
+                    q, np.quantile(y, alpha + 1/n, method="higher"))
+            else:
+                assert_allclose(q, np.quantile(y, alpha, method="lower"))
+        elif method == "interpolated_inverted_cdf":
+            assert_allclose(q, np.quantile(y, alpha + 1/n, method=method))
+        elif method == "nearest":
+            if n * alpha == int(n * alpha):
+                assert_allclose(q, np.quantile(y, alpha + 1/n, method=method))
+            else:
+                assert_allclose(q, np.quantile(y, alpha, method=method))
+        elif method == "lower":
+            assert_allclose(q, np.quantile(y, alpha, method="higher"))
+        elif method == "higher":
+            assert_allclose(q, np.quantile(y, alpha, method="lower"))
+        else:
+            # "averaged_inverted_cdf", "hazen", "weibull", "linear",
+            # "median_unbiased", "normal_unbiased", "midpoint"
+            assert_allclose(q, np.quantile(y, alpha, method=method))
+
+    @pytest.mark.parametrize("method", methods_supporting_weights)
+    @pytest.mark.parametrize("alpha", [0.2, 0.5, 0.9])
+    def test_quantile_constant_weights(self, method, alpha):
+        rng = np.random.default_rng(4321)
+        # We choose n and alpha such that we have cases for
+        #  - n * alpha is an integer
+        #  - n * alpha is a float that gets rounded down
+        #  - n * alpha is a float that gest rounded up
+        n = 102  # n * alpha = 20.4, 51. , 91.8
+        y = rng.random(n)
+        q = np.quantile(y, alpha, method=method)
+
+        w = np.ones_like(y)
+        qw = np.quantile(y, alpha, method=method, weights=w)
+        assert_allclose(qw, q)
+
+        w = 8.125 * np.ones_like(y)
+        qw = np.quantile(y, alpha, method=method, weights=w)
+        assert_allclose(qw, q)
+
+    @pytest.mark.parametrize("method", methods_supporting_weights)
+    @pytest.mark.parametrize("alpha", [0, 0.2, 0.5, 0.9, 1])
+    def test_quantile_with_integer_weights(self, method, alpha):
+        # Integer weights can be interpreted as repeated observations.
+        rng = np.random.default_rng(4321)
+        # We choose n and alpha such that we have cases for
+        #  - n * alpha is an integer
+        #  - n * alpha is a float that gets rounded down
+        #  - n * alpha is a float that gest rounded up
+        n = 102  # n * alpha = 20.4, 51. , 91.8
+        y = rng.random(n)
+        w = rng.integers(low=0, high=10, size=n, dtype=np.int32)
+
+        qw = np.quantile(y, alpha, method=method, weights=w)
+        q = np.quantile(np.repeat(y, w), alpha, method=method)
+        assert_allclose(qw, q)
+
+    @pytest.mark.parametrize("method", methods_supporting_weights)
+    def test_quantile_with_weights_and_axis(self, method):
+        rng = np.random.default_rng(4321)
+
+        # 1d weight and single alpha
+        y = rng.random((2, 10, 3))
+        w = np.abs(rng.random(10))
+        alpha = 0.5
+        q = np.quantile(y, alpha, weights=w, method=method, axis=1)
+        q_res = np.zeros(shape=(2, 3))
+        for i in range(2):
+            for j in range(3):
+                q_res[i, j] = np.quantile(
+                    y[i, :, j], alpha, method=method, weights=w
+                )
+        assert_allclose(q, q_res)
+
+        # 1d weight and 1d alpha
+        alpha = [0, 0.2, 0.4, 0.6, 0.8, 1]  # shape (6,)
+        q = np.quantile(y, alpha, weights=w, method=method, axis=1)
+        q_res = np.zeros(shape=(6, 2, 3))
+        for i in range(2):
+            for j in range(3):
+                q_res[:, i, j] = np.quantile(
+                    y[i, :, j], alpha, method=method, weights=w
+                )
+        assert_allclose(q, q_res)
+
+        # 1d weight and 2d alpha
+        alpha = [[0, 0.2], [0.4, 0.6], [0.8, 1]]  # shape (3, 2)
+        q = np.quantile(y, alpha, weights=w, method=method, axis=1)
+        q_res = q_res.reshape((3, 2, 2, 3))
+        assert_allclose(q, q_res)
+
+        # shape of weights equals shape of y
+        w = np.abs(rng.random((2, 10, 3)))
+        alpha = 0.5
+        q = np.quantile(y, alpha, weights=w, method=method, axis=1)
+        q_res = np.zeros(shape=(2, 3))
+        for i in range(2):
+            for j in range(3):
+                q_res[i, j] = np.quantile(
+                    y[i, :, j], alpha, method=method, weights=w[i, :, j]
+                )
+        assert_allclose(q, q_res)
+
+    @pytest.mark.parametrize("method", methods_supporting_weights)
+    def test_quantile_weights_min_max(self, method):
+        # Test weighted quantile at 0 and 1 with leading and trailing zero
+        # weights.
+        w = [0, 0, 1, 2, 3, 0]
+        y = np.arange(6)
+        y_min = np.quantile(y, 0, weights=w, method="inverted_cdf")
+        y_max = np.quantile(y, 1, weights=w, method="inverted_cdf")
+        assert y_min == y[2]  # == 2
+        assert y_max == y[4]  # == 4
+
+    def test_quantile_weights_raises_negative_weights(self):
+        y = [1, 2]
+        w = [-0.5, 1]
+        with pytest.raises(ValueError, match="Weights must be non-negative"):
+            np.quantile(y, 0.5, weights=w, method="inverted_cdf")
+
+    @pytest.mark.parametrize(
+            "method",
+            sorted(set(quantile_methods) - set(methods_supporting_weights)),
+    )
+    def test_quantile_weights_raises_unsupported_methods(self, method):
+        y = [1, 2]
+        w = [0.5, 1]
+        msg = "Only method 'inverted_cdf' supports weights"
+        with pytest.raises(ValueError, match=msg):
+            np.quantile(y, 0.5, weights=w, method=method)
+
+    def test_weibull_fraction(self):
+        arr = [Fraction(0, 1), Fraction(1, 10)]
+        quantile = np.quantile(arr, [0, ], method='weibull')
+        assert_equal(quantile, np.array(Fraction(0, 1)))
+        quantile = np.quantile(arr, [Fraction(1, 2)], method='weibull')
+        assert_equal(quantile, np.array(Fraction(1, 20)))
+
+    def test_closest_observation(self):
+        # Round ties to nearest even order statistic (see #26656)
+        m = 'closest_observation'
+        q = 0.5
+        arr = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
+        assert_equal(2, np.quantile(arr[0:3], q, method=m))
+        assert_equal(2, np.quantile(arr[0:4], q, method=m))
+        assert_equal(2, np.quantile(arr[0:5], q, method=m))
+        assert_equal(3, np.quantile(arr[0:6], q, method=m))
+        assert_equal(4, np.quantile(arr[0:7], q, method=m))
+        assert_equal(4, np.quantile(arr[0:8], q, method=m))
+        assert_equal(4, np.quantile(arr[0:9], q, method=m))
+        assert_equal(5, np.quantile(arr, q, method=m))
+
+
+class TestLerp:
+    @hypothesis.given(t0=st.floats(allow_nan=False, allow_infinity=False,
+                                   min_value=0, max_value=1),
+                      t1=st.floats(allow_nan=False, allow_infinity=False,
+                                   min_value=0, max_value=1),
+                      a = st.floats(allow_nan=False, allow_infinity=False,
+                                    min_value=-1e300, max_value=1e300),
+                      b = st.floats(allow_nan=False, allow_infinity=False,
+                                    min_value=-1e300, max_value=1e300))
+    def test_linear_interpolation_formula_monotonic(self, t0, t1, a, b):
+        l0 = nfb._lerp(a, b, t0)
+        l1 = nfb._lerp(a, b, t1)
+        if t0 == t1 or a == b:
+            assert l0 == l1  # uninteresting
+        elif (t0 < t1) == (a < b):
+            assert l0 <= l1
+        else:
+            assert l0 >= l1
+
+    @hypothesis.given(t=st.floats(allow_nan=False, allow_infinity=False,
+                                  min_value=0, max_value=1),
+                      a=st.floats(allow_nan=False, allow_infinity=False,
+                                  min_value=-1e300, max_value=1e300),
+                      b=st.floats(allow_nan=False, allow_infinity=False,
+                                  min_value=-1e300, max_value=1e300))
+    def test_linear_interpolation_formula_bounded(self, t, a, b):
+        if a <= b:
+            assert a <= nfb._lerp(a, b, t) <= b
+        else:
+            assert b <= nfb._lerp(a, b, t) <= a
+
+    @hypothesis.given(t=st.floats(allow_nan=False, allow_infinity=False,
+                                  min_value=0, max_value=1),
+                      a=st.floats(allow_nan=False, allow_infinity=False,
+                                  min_value=-1e300, max_value=1e300),
+                      b=st.floats(allow_nan=False, allow_infinity=False,
+                                  min_value=-1e300, max_value=1e300))
+    def test_linear_interpolation_formula_symmetric(self, t, a, b):
+        # double subtraction is needed to remove the extra precision of t < 0.5
+        left = nfb._lerp(a, b, 1 - (1 - t))
+        right = nfb._lerp(b, a, 1 - t)
+        assert_allclose(left, right)
+
+    def test_linear_interpolation_formula_0d_inputs(self):
+        a = np.array(2)
+        b = np.array(5)
+        t = np.array(0.2)
+        assert nfb._lerp(a, b, t) == 2.6
+
+
+class TestMedian:
+
+    def test_basic(self):
+        a0 = np.array(1)
+        a1 = np.arange(2)
+        a2 = np.arange(6).reshape(2, 3)
+        assert_equal(np.median(a0), 1)
+        assert_allclose(np.median(a1), 0.5)
+        assert_allclose(np.median(a2), 2.5)
+        assert_allclose(np.median(a2, axis=0), [1.5,  2.5,  3.5])
+        assert_equal(np.median(a2, axis=1), [1, 4])
+        assert_allclose(np.median(a2, axis=None), 2.5)
+
+        a = np.array([0.0444502, 0.0463301, 0.141249, 0.0606775])
+        assert_almost_equal((a[1] + a[3]) / 2., np.median(a))
+        a = np.array([0.0463301, 0.0444502, 0.141249])
+        assert_equal(a[0], np.median(a))
+        a = np.array([0.0444502, 0.141249, 0.0463301])
+        assert_equal(a[-1], np.median(a))
+        # check array scalar result
+        assert_equal(np.median(a).ndim, 0)
+        a[1] = np.nan
+        assert_equal(np.median(a).ndim, 0)
+
+    def test_axis_keyword(self):
+        a3 = np.array([[2, 3],
+                       [0, 1],
+                       [6, 7],
+                       [4, 5]])
+        for a in [a3, np.random.randint(0, 100, size=(2, 3, 4))]:
+            orig = a.copy()
+            np.median(a, axis=None)
+            for ax in range(a.ndim):
+                np.median(a, axis=ax)
+            assert_array_equal(a, orig)
+
+        assert_allclose(np.median(a3, axis=0), [3,  4])
+        assert_allclose(np.median(a3.T, axis=1), [3,  4])
+        assert_allclose(np.median(a3), 3.5)
+        assert_allclose(np.median(a3, axis=None), 3.5)
+        assert_allclose(np.median(a3.T), 3.5)
+
+    def test_overwrite_keyword(self):
+        a3 = np.array([[2, 3],
+                       [0, 1],
+                       [6, 7],
+                       [4, 5]])
+        a0 = np.array(1)
+        a1 = np.arange(2)
+        a2 = np.arange(6).reshape(2, 3)
+        assert_allclose(np.median(a0.copy(), overwrite_input=True), 1)
+        assert_allclose(np.median(a1.copy(), overwrite_input=True), 0.5)
+        assert_allclose(np.median(a2.copy(), overwrite_input=True), 2.5)
+        assert_allclose(np.median(a2.copy(), overwrite_input=True, axis=0),
+                        [1.5,  2.5,  3.5])
+        assert_allclose(
+            np.median(a2.copy(), overwrite_input=True, axis=1), [1, 4])
+        assert_allclose(
+            np.median(a2.copy(), overwrite_input=True, axis=None), 2.5)
+        assert_allclose(
+            np.median(a3.copy(), overwrite_input=True, axis=0), [3,  4])
+        assert_allclose(np.median(a3.T.copy(), overwrite_input=True, axis=1),
+                        [3,  4])
+
+        a4 = np.arange(3 * 4 * 5, dtype=np.float32).reshape((3, 4, 5))
+        np.random.shuffle(a4.ravel())
+        assert_allclose(np.median(a4, axis=None),
+                        np.median(a4.copy(), axis=None, overwrite_input=True))
+        assert_allclose(np.median(a4, axis=0),
+                        np.median(a4.copy(), axis=0, overwrite_input=True))
+        assert_allclose(np.median(a4, axis=1),
+                        np.median(a4.copy(), axis=1, overwrite_input=True))
+        assert_allclose(np.median(a4, axis=2),
+                        np.median(a4.copy(), axis=2, overwrite_input=True))
+
+    def test_array_like(self):
+        x = [1, 2, 3]
+        assert_almost_equal(np.median(x), 2)
+        x2 = [x]
+        assert_almost_equal(np.median(x2), 2)
+        assert_allclose(np.median(x2, axis=0), x)
+
+    def test_subclass(self):
+        # gh-3846
+        class MySubClass(np.ndarray):
+
+            def __new__(cls, input_array, info=None):
+                obj = np.asarray(input_array).view(cls)
+                obj.info = info
+                return obj
+
+            def mean(self, axis=None, dtype=None, out=None):
+                return -7
+
+        a = MySubClass([1, 2, 3])
+        assert_equal(np.median(a), -7)
+
+    @pytest.mark.parametrize('arr',
+                             ([1., 2., 3.], [1., np.nan, 3.], np.nan, 0.))
+    def test_subclass2(self, arr):
+        """Check that we return subclasses, even if a NaN scalar."""
+        class MySubclass(np.ndarray):
+            pass
+
+        m = np.median(np.array(arr).view(MySubclass))
+        assert isinstance(m, MySubclass)
+
+    def test_out(self):
+        o = np.zeros((4,))
+        d = np.ones((3, 4))
+        assert_equal(np.median(d, 0, out=o), o)
+        o = np.zeros((3,))
+        assert_equal(np.median(d, 1, out=o), o)
+        o = np.zeros(())
+        assert_equal(np.median(d, out=o), o)
+
+    def test_out_nan(self):
+        with warnings.catch_warnings(record=True):
+            warnings.filterwarnings('always', '', RuntimeWarning)
+            o = np.zeros((4,))
+            d = np.ones((3, 4))
+            d[2, 1] = np.nan
+            assert_equal(np.median(d, 0, out=o), o)
+            o = np.zeros((3,))
+            assert_equal(np.median(d, 1, out=o), o)
+            o = np.zeros(())
+            assert_equal(np.median(d, out=o), o)
+
+    def test_nan_behavior(self):
+        a = np.arange(24, dtype=float)
+        a[2] = np.nan
+        assert_equal(np.median(a), np.nan)
+        assert_equal(np.median(a, axis=0), np.nan)
+
+        a = np.arange(24, dtype=float).reshape(2, 3, 4)
+        a[1, 2, 3] = np.nan
+        a[1, 1, 2] = np.nan
+
+        # no axis
+        assert_equal(np.median(a), np.nan)
+        assert_equal(np.median(a).ndim, 0)
+
+        # axis0
+        b = np.median(np.arange(24, dtype=float).reshape(2, 3, 4), 0)
+        b[2, 3] = np.nan
+        b[1, 2] = np.nan
+        assert_equal(np.median(a, 0), b)
+
+        # axis1
+        b = np.median(np.arange(24, dtype=float).reshape(2, 3, 4), 1)
+        b[1, 3] = np.nan
+        b[1, 2] = np.nan
+        assert_equal(np.median(a, 1), b)
+
+        # axis02
+        b = np.median(np.arange(24, dtype=float).reshape(2, 3, 4), (0, 2))
+        b[1] = np.nan
+        b[2] = np.nan
+        assert_equal(np.median(a, (0, 2)), b)
+
+    @pytest.mark.skipif(IS_WASM, reason="fp errors don't work correctly")
+    def test_empty(self):
+        # mean(empty array) emits two warnings: empty slice and divide by 0
+        a = np.array([], dtype=float)
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', RuntimeWarning)
+            assert_equal(np.median(a), np.nan)
+            assert_(w[0].category is RuntimeWarning)
+            assert_equal(len(w), 2)
+
+        # multiple dimensions
+        a = np.array([], dtype=float, ndmin=3)
+        # no axis
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', RuntimeWarning)
+            assert_equal(np.median(a), np.nan)
+            assert_(w[0].category is RuntimeWarning)
+
+        # axis 0 and 1
+        b = np.array([], dtype=float, ndmin=2)
+        assert_equal(np.median(a, axis=0), b)
+        assert_equal(np.median(a, axis=1), b)
+
+        # axis 2
+        b = np.array(np.nan, dtype=float, ndmin=2)
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', RuntimeWarning)
+            assert_equal(np.median(a, axis=2), b)
+            assert_(w[0].category is RuntimeWarning)
+
+    def test_object(self):
+        o = np.arange(7.)
+        assert_(type(np.median(o.astype(object))), float)
+        o[2] = np.nan
+        assert_(type(np.median(o.astype(object))), float)
+
+    def test_extended_axis(self):
+        o = np.random.normal(size=(71, 23))
+        x = np.dstack([o] * 10)
+        assert_equal(np.median(x, axis=(0, 1)), np.median(o))
+        x = np.moveaxis(x, -1, 0)
+        assert_equal(np.median(x, axis=(-2, -1)), np.median(o))
+        x = x.swapaxes(0, 1).copy()
+        assert_equal(np.median(x, axis=(0, -1)), np.median(o))
+
+        assert_equal(np.median(x, axis=(0, 1, 2)), np.median(x, axis=None))
+        assert_equal(np.median(x, axis=(0, )), np.median(x, axis=0))
+        assert_equal(np.median(x, axis=(-1, )), np.median(x, axis=-1))
+
+        d = np.arange(3 * 5 * 7 * 11).reshape((3, 5, 7, 11))
+        np.random.shuffle(d.ravel())
+        assert_equal(np.median(d, axis=(0, 1, 2))[0],
+                     np.median(d[:,:,:, 0].flatten()))
+        assert_equal(np.median(d, axis=(0, 1, 3))[1],
+                     np.median(d[:,:, 1,:].flatten()))
+        assert_equal(np.median(d, axis=(3, 1, -4))[2],
+                     np.median(d[:,:, 2,:].flatten()))
+        assert_equal(np.median(d, axis=(3, 1, 2))[2],
+                     np.median(d[2,:,:,:].flatten()))
+        assert_equal(np.median(d, axis=(3, 2))[2, 1],
+                     np.median(d[2, 1,:,:].flatten()))
+        assert_equal(np.median(d, axis=(1, -2))[2, 1],
+                     np.median(d[2,:,:, 1].flatten()))
+        assert_equal(np.median(d, axis=(1, 3))[2, 2],
+                     np.median(d[2,:, 2,:].flatten()))
+
+    def test_extended_axis_invalid(self):
+        d = np.ones((3, 5, 7, 11))
+        assert_raises(AxisError, np.median, d, axis=-5)
+        assert_raises(AxisError, np.median, d, axis=(0, -5))
+        assert_raises(AxisError, np.median, d, axis=4)
+        assert_raises(AxisError, np.median, d, axis=(0, 4))
+        assert_raises(ValueError, np.median, d, axis=(1, 1))
+
+    def test_keepdims(self):
+        d = np.ones((3, 5, 7, 11))
+        assert_equal(np.median(d, axis=None, keepdims=True).shape,
+                     (1, 1, 1, 1))
+        assert_equal(np.median(d, axis=(0, 1), keepdims=True).shape,
+                     (1, 1, 7, 11))
+        assert_equal(np.median(d, axis=(0, 3), keepdims=True).shape,
+                     (1, 5, 7, 1))
+        assert_equal(np.median(d, axis=(1,), keepdims=True).shape,
+                     (3, 1, 7, 11))
+        assert_equal(np.median(d, axis=(0, 1, 2, 3), keepdims=True).shape,
+                     (1, 1, 1, 1))
+        assert_equal(np.median(d, axis=(0, 1, 3), keepdims=True).shape,
+                     (1, 1, 7, 1))
+
+    @pytest.mark.parametrize(
+        argnames='axis',
+        argvalues=[
+            None,
+            1,
+            (1, ),
+            (0, 1),
+            (-3, -1),
+        ]
+    )
+    def test_keepdims_out(self, axis):
+        d = np.ones((3, 5, 7, 11))
+        if axis is None:
+            shape_out = (1,) * d.ndim
+        else:
+            axis_norm = normalize_axis_tuple(axis, d.ndim)
+            shape_out = tuple(
+                1 if i in axis_norm else d.shape[i] for i in range(d.ndim))
+        out = np.empty(shape_out)
+        result = np.median(d, axis=axis, keepdims=True, out=out)
+        assert result is out
+        assert_equal(result.shape, shape_out)
+
+    @pytest.mark.parametrize("dtype", ["m8[s]"])
+    @pytest.mark.parametrize("pos", [0, 23, 10])
+    def test_nat_behavior(self, dtype, pos):
+        # TODO: Median does not support Datetime, due to `mean`.
+        # NaT and NaN should behave the same, do basic tests for NaT.
+        a = np.arange(0, 24, dtype=dtype)
+        a[pos] = "NaT"
+        res = np.median(a)
+        assert res.dtype == dtype
+        assert np.isnat(res)
+        res = np.percentile(a, [30, 60])
+        assert res.dtype == dtype
+        assert np.isnat(res).all()
+
+        a = np.arange(0, 24*3, dtype=dtype).reshape(-1, 3)
+        a[pos, 1] = "NaT"
+        res = np.median(a, axis=0)
+        assert_array_equal(np.isnat(res), [False, True, False])
+
+
+class TestSortComplex:
+
+    @pytest.mark.parametrize("type_in, type_out", [
+        ('l', 'D'),
+        ('h', 'F'),
+        ('H', 'F'),
+        ('b', 'F'),
+        ('B', 'F'),
+        ('g', 'G'),
+        ])
+    def test_sort_real(self, type_in, type_out):
+        # sort_complex() type casting for real input types
+        a = np.array([5, 3, 6, 2, 1], dtype=type_in)
+        actual = np.sort_complex(a)
+        expected = np.sort(a).astype(type_out)
+        assert_equal(actual, expected)
+        assert_equal(actual.dtype, expected.dtype)
+
+    def test_sort_complex(self):
+        # sort_complex() handling of complex input
+        a = np.array([2 + 3j, 1 - 2j, 1 - 3j, 2 + 1j], dtype='D')
+        expected = np.array([1 - 3j, 1 - 2j, 2 + 1j, 2 + 3j], dtype='D')
+        actual = np.sort_complex(a)
+        assert_equal(actual, expected)
+        assert_equal(actual.dtype, expected.dtype)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_histograms.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_histograms.py
new file mode 100644
index 0000000000000000000000000000000000000000..4b300624cac76dec3b247c7a7609da440746dde5
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_histograms.py
@@ -0,0 +1,841 @@
+import numpy as np
+
+from numpy import histogram, histogramdd, histogram_bin_edges
+from numpy.testing import (
+    assert_, assert_equal, assert_array_equal, assert_almost_equal,
+    assert_array_almost_equal, assert_raises, assert_allclose,
+    assert_array_max_ulp, assert_raises_regex, suppress_warnings,
+    )
+import pytest
+
+
+class TestHistogram:
+
+    def setup_method(self):
+        pass
+
+    def teardown_method(self):
+        pass
+
+    def test_simple(self):
+        n = 100
+        v = np.random.rand(n)
+        (a, b) = histogram(v)
+        # check if the sum of the bins equals the number of samples
+        assert_equal(np.sum(a, axis=0), n)
+        # check that the bin counts are evenly spaced when the data is from
+        # a linear function
+        (a, b) = histogram(np.linspace(0, 10, 100))
+        assert_array_equal(a, 10)
+
+    def test_one_bin(self):
+        # Ticket 632
+        hist, edges = histogram([1, 2, 3, 4], [1, 2])
+        assert_array_equal(hist, [2, ])
+        assert_array_equal(edges, [1, 2])
+        assert_raises(ValueError, histogram, [1, 2], bins=0)
+        h, e = histogram([1, 2], bins=1)
+        assert_equal(h, np.array([2]))
+        assert_allclose(e, np.array([1., 2.]))
+
+    def test_density(self):
+        # Check that the integral of the density equals 1.
+        n = 100
+        v = np.random.rand(n)
+        a, b = histogram(v, density=True)
+        area = np.sum(a * np.diff(b))
+        assert_almost_equal(area, 1)
+
+        # Check with non-constant bin widths
+        v = np.arange(10)
+        bins = [0, 1, 3, 6, 10]
+        a, b = histogram(v, bins, density=True)
+        assert_array_equal(a, .1)
+        assert_equal(np.sum(a * np.diff(b)), 1)
+
+        # Test that passing False works too
+        a, b = histogram(v, bins, density=False)
+        assert_array_equal(a, [1, 2, 3, 4])
+
+        # Variable bin widths are especially useful to deal with
+        # infinities.
+        v = np.arange(10)
+        bins = [0, 1, 3, 6, np.inf]
+        a, b = histogram(v, bins, density=True)
+        assert_array_equal(a, [.1, .1, .1, 0.])
+
+        # Taken from a bug report from N. Becker on the numpy-discussion
+        # mailing list Aug. 6, 2010.
+        counts, dmy = np.histogram(
+            [1, 2, 3, 4], [0.5, 1.5, np.inf], density=True)
+        assert_equal(counts, [.25, 0])
+
+    def test_outliers(self):
+        # Check that outliers are not tallied
+        a = np.arange(10) + .5
+
+        # Lower outliers
+        h, b = histogram(a, range=[0, 9])
+        assert_equal(h.sum(), 9)
+
+        # Upper outliers
+        h, b = histogram(a, range=[1, 10])
+        assert_equal(h.sum(), 9)
+
+        # Normalization
+        h, b = histogram(a, range=[1, 9], density=True)
+        assert_almost_equal((h * np.diff(b)).sum(), 1, decimal=15)
+
+        # Weights
+        w = np.arange(10) + .5
+        h, b = histogram(a, range=[1, 9], weights=w, density=True)
+        assert_equal((h * np.diff(b)).sum(), 1)
+
+        h, b = histogram(a, bins=8, range=[1, 9], weights=w)
+        assert_equal(h, w[1:-1])
+
+    def test_arr_weights_mismatch(self):
+        a = np.arange(10) + .5
+        w = np.arange(11) + .5
+        with assert_raises_regex(ValueError, "same shape as"):
+            h, b = histogram(a, range=[1, 9], weights=w, density=True)
+
+
+    def test_type(self):
+        # Check the type of the returned histogram
+        a = np.arange(10) + .5
+        h, b = histogram(a)
+        assert_(np.issubdtype(h.dtype, np.integer))
+
+        h, b = histogram(a, density=True)
+        assert_(np.issubdtype(h.dtype, np.floating))
+
+        h, b = histogram(a, weights=np.ones(10, int))
+        assert_(np.issubdtype(h.dtype, np.integer))
+
+        h, b = histogram(a, weights=np.ones(10, float))
+        assert_(np.issubdtype(h.dtype, np.floating))
+
+    def test_f32_rounding(self):
+        # gh-4799, check that the rounding of the edges works with float32
+        x = np.array([276.318359, -69.593948, 21.329449], dtype=np.float32)
+        y = np.array([5005.689453, 4481.327637, 6010.369629], dtype=np.float32)
+        counts_hist, xedges, yedges = np.histogram2d(x, y, bins=100)
+        assert_equal(counts_hist.sum(), 3.)
+
+    def test_bool_conversion(self):
+        # gh-12107
+        # Reference integer histogram
+        a = np.array([1, 1, 0], dtype=np.uint8)
+        int_hist, int_edges = np.histogram(a)
+
+        # Should raise an warning on booleans
+        # Ensure that the histograms are equivalent, need to suppress
+        # the warnings to get the actual outputs
+        with suppress_warnings() as sup:
+            rec = sup.record(RuntimeWarning, 'Converting input from .*')
+            hist, edges = np.histogram([True, True, False])
+            # A warning should be issued
+            assert_equal(len(rec), 1)
+            assert_array_equal(hist, int_hist)
+            assert_array_equal(edges, int_edges)
+
+    def test_weights(self):
+        v = np.random.rand(100)
+        w = np.ones(100) * 5
+        a, b = histogram(v)
+        na, nb = histogram(v, density=True)
+        wa, wb = histogram(v, weights=w)
+        nwa, nwb = histogram(v, weights=w, density=True)
+        assert_array_almost_equal(a * 5, wa)
+        assert_array_almost_equal(na, nwa)
+
+        # Check weights are properly applied.
+        v = np.linspace(0, 10, 10)
+        w = np.concatenate((np.zeros(5), np.ones(5)))
+        wa, wb = histogram(v, bins=np.arange(11), weights=w)
+        assert_array_almost_equal(wa, w)
+
+        # Check with integer weights
+        wa, wb = histogram([1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1])
+        assert_array_equal(wa, [4, 5, 0, 1])
+        wa, wb = histogram(
+            [1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1], density=True)
+        assert_array_almost_equal(wa, np.array([4, 5, 0, 1]) / 10. / 3. * 4)
+
+        # Check weights with non-uniform bin widths
+        a, b = histogram(
+            np.arange(9), [0, 1, 3, 6, 10],
+            weights=[2, 1, 1, 1, 1, 1, 1, 1, 1], density=True)
+        assert_almost_equal(a, [.2, .1, .1, .075])
+
+    def test_exotic_weights(self):
+
+        # Test the use of weights that are not integer or floats, but e.g.
+        # complex numbers or object types.
+
+        # Complex weights
+        values = np.array([1.3, 2.5, 2.3])
+        weights = np.array([1, -1, 2]) + 1j * np.array([2, 1, 2])
+
+        # Check with custom bins
+        wa, wb = histogram(values, bins=[0, 2, 3], weights=weights)
+        assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3]))
+
+        # Check with even bins
+        wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights)
+        assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3]))
+
+        # Decimal weights
+        from decimal import Decimal
+        values = np.array([1.3, 2.5, 2.3])
+        weights = np.array([Decimal(1), Decimal(2), Decimal(3)])
+
+        # Check with custom bins
+        wa, wb = histogram(values, bins=[0, 2, 3], weights=weights)
+        assert_array_almost_equal(wa, [Decimal(1), Decimal(5)])
+
+        # Check with even bins
+        wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights)
+        assert_array_almost_equal(wa, [Decimal(1), Decimal(5)])
+
+    def test_no_side_effects(self):
+        # This is a regression test that ensures that values passed to
+        # ``histogram`` are unchanged.
+        values = np.array([1.3, 2.5, 2.3])
+        np.histogram(values, range=[-10, 10], bins=100)
+        assert_array_almost_equal(values, [1.3, 2.5, 2.3])
+
+    def test_empty(self):
+        a, b = histogram([], bins=([0, 1]))
+        assert_array_equal(a, np.array([0]))
+        assert_array_equal(b, np.array([0, 1]))
+
+    def test_error_binnum_type (self):
+        # Tests if right Error is raised if bins argument is float
+        vals = np.linspace(0.0, 1.0, num=100)
+        histogram(vals, 5)
+        assert_raises(TypeError, histogram, vals, 2.4)
+
+    def test_finite_range(self):
+        # Normal ranges should be fine
+        vals = np.linspace(0.0, 1.0, num=100)
+        histogram(vals, range=[0.25,0.75])
+        assert_raises(ValueError, histogram, vals, range=[np.nan,0.75])
+        assert_raises(ValueError, histogram, vals, range=[0.25,np.inf])
+
+    def test_invalid_range(self):
+        # start of range must be < end of range
+        vals = np.linspace(0.0, 1.0, num=100)
+        with assert_raises_regex(ValueError, "max must be larger than"):
+            np.histogram(vals, range=[0.1, 0.01])
+
+    def test_bin_edge_cases(self):
+        # Ensure that floating-point computations correctly place edge cases.
+        arr = np.array([337, 404, 739, 806, 1007, 1811, 2012])
+        hist, edges = np.histogram(arr, bins=8296, range=(2, 2280))
+        mask = hist > 0
+        left_edges = edges[:-1][mask]
+        right_edges = edges[1:][mask]
+        for x, left, right in zip(arr, left_edges, right_edges):
+            assert_(x >= left)
+            assert_(x < right)
+
+    def test_last_bin_inclusive_range(self):
+        arr = np.array([0.,  0.,  0.,  1.,  2.,  3.,  3.,  4.,  5.])
+        hist, edges = np.histogram(arr, bins=30, range=(-0.5, 5))
+        assert_equal(hist[-1], 1)
+
+    def test_bin_array_dims(self):
+        # gracefully handle bins object > 1 dimension
+        vals = np.linspace(0.0, 1.0, num=100)
+        bins = np.array([[0, 0.5], [0.6, 1.0]])
+        with assert_raises_regex(ValueError, "must be 1d"):
+            np.histogram(vals, bins=bins)
+
+    def test_unsigned_monotonicity_check(self):
+        # Ensures ValueError is raised if bins not increasing monotonically
+        # when bins contain unsigned values (see #9222)
+        arr = np.array([2])
+        bins = np.array([1, 3, 1], dtype='uint64')
+        with assert_raises(ValueError):
+            hist, edges = np.histogram(arr, bins=bins)
+
+    def test_object_array_of_0d(self):
+        # gh-7864
+        assert_raises(ValueError,
+            histogram, [np.array(0.4) for i in range(10)] + [-np.inf])
+        assert_raises(ValueError,
+            histogram, [np.array(0.4) for i in range(10)] + [np.inf])
+
+        # these should not crash
+        np.histogram([np.array(0.5) for i in range(10)] + [.500000000000002])
+        np.histogram([np.array(0.5) for i in range(10)] + [.5])
+
+    def test_some_nan_values(self):
+        # gh-7503
+        one_nan = np.array([0, 1, np.nan])
+        all_nan = np.array([np.nan, np.nan])
+
+        # the internal comparisons with NaN give warnings
+        sup = suppress_warnings()
+        sup.filter(RuntimeWarning)
+        with sup:
+            # can't infer range with nan
+            assert_raises(ValueError, histogram, one_nan, bins='auto')
+            assert_raises(ValueError, histogram, all_nan, bins='auto')
+
+            # explicit range solves the problem
+            h, b = histogram(one_nan, bins='auto', range=(0, 1))
+            assert_equal(h.sum(), 2)  # nan is not counted
+            h, b = histogram(all_nan, bins='auto', range=(0, 1))
+            assert_equal(h.sum(), 0)  # nan is not counted
+
+            # as does an explicit set of bins
+            h, b = histogram(one_nan, bins=[0, 1])
+            assert_equal(h.sum(), 2)  # nan is not counted
+            h, b = histogram(all_nan, bins=[0, 1])
+            assert_equal(h.sum(), 0)  # nan is not counted
+
+    def test_datetime(self):
+        begin = np.datetime64('2000-01-01', 'D')
+        offsets = np.array([0, 0, 1, 1, 2, 3, 5, 10, 20])
+        bins = np.array([0, 2, 7, 20])
+        dates = begin + offsets
+        date_bins = begin + bins
+
+        td = np.dtype('timedelta64[D]')
+
+        # Results should be the same for integer offsets or datetime values.
+        # For now, only explicit bins are supported, since linspace does not
+        # work on datetimes or timedeltas
+        d_count, d_edge = histogram(dates, bins=date_bins)
+        t_count, t_edge = histogram(offsets.astype(td), bins=bins.astype(td))
+        i_count, i_edge = histogram(offsets, bins=bins)
+
+        assert_equal(d_count, i_count)
+        assert_equal(t_count, i_count)
+
+        assert_equal((d_edge - begin).astype(int), i_edge)
+        assert_equal(t_edge.astype(int), i_edge)
+
+        assert_equal(d_edge.dtype, dates.dtype)
+        assert_equal(t_edge.dtype, td)
+
+    def do_signed_overflow_bounds(self, dtype):
+        exponent = 8 * np.dtype(dtype).itemsize - 1
+        arr = np.array([-2**exponent + 4, 2**exponent - 4], dtype=dtype)
+        hist, e = histogram(arr, bins=2)
+        assert_equal(e, [-2**exponent + 4, 0, 2**exponent - 4])
+        assert_equal(hist, [1, 1])
+
+    def test_signed_overflow_bounds(self):
+        self.do_signed_overflow_bounds(np.byte)
+        self.do_signed_overflow_bounds(np.short)
+        self.do_signed_overflow_bounds(np.intc)
+        self.do_signed_overflow_bounds(np.int_)
+        self.do_signed_overflow_bounds(np.longlong)
+
+    def do_precision_lower_bound(self, float_small, float_large):
+        eps = np.finfo(float_large).eps
+
+        arr = np.array([1.0], float_small)
+        range = np.array([1.0 + eps, 2.0], float_large)
+
+        # test is looking for behavior when the bounds change between dtypes
+        if range.astype(float_small)[0] != 1:
+            return
+
+        # previously crashed
+        count, x_loc = np.histogram(arr, bins=1, range=range)
+        assert_equal(count, [0])
+        assert_equal(x_loc.dtype, float_large)
+
+    def do_precision_upper_bound(self, float_small, float_large):
+        eps = np.finfo(float_large).eps
+
+        arr = np.array([1.0], float_small)
+        range = np.array([0.0, 1.0 - eps], float_large)
+
+        # test is looking for behavior when the bounds change between dtypes
+        if range.astype(float_small)[-1] != 1:
+            return
+
+        # previously crashed
+        count, x_loc = np.histogram(arr, bins=1, range=range)
+        assert_equal(count, [0])
+
+        assert_equal(x_loc.dtype, float_large)
+
+    def do_precision(self, float_small, float_large):
+        self.do_precision_lower_bound(float_small, float_large)
+        self.do_precision_upper_bound(float_small, float_large)
+
+    def test_precision(self):
+        # not looping results in a useful stack trace upon failure
+        self.do_precision(np.half, np.single)
+        self.do_precision(np.half, np.double)
+        self.do_precision(np.half, np.longdouble)
+        self.do_precision(np.single, np.double)
+        self.do_precision(np.single, np.longdouble)
+        self.do_precision(np.double, np.longdouble)
+
+    def test_histogram_bin_edges(self):
+        hist, e = histogram([1, 2, 3, 4], [1, 2])
+        edges = histogram_bin_edges([1, 2, 3, 4], [1, 2])
+        assert_array_equal(edges, e)
+
+        arr = np.array([0.,  0.,  0.,  1.,  2.,  3.,  3.,  4.,  5.])
+        hist, e = histogram(arr, bins=30, range=(-0.5, 5))
+        edges = histogram_bin_edges(arr, bins=30, range=(-0.5, 5))
+        assert_array_equal(edges, e)
+
+        hist, e = histogram(arr, bins='auto', range=(0, 1))
+        edges = histogram_bin_edges(arr, bins='auto', range=(0, 1))
+        assert_array_equal(edges, e)
+
+    def test_small_value_range(self):
+        arr = np.array([1, 1 + 2e-16] * 10)
+        with pytest.raises(ValueError, match="Too many bins for data range"):
+            histogram(arr, bins=10)
+
+    # @requires_memory(free_bytes=1e10)
+    # @pytest.mark.slow
+    @pytest.mark.skip(reason="Bad memory reports lead to OOM in ci testing")
+    def test_big_arrays(self):
+        sample = np.zeros([100000000, 3])
+        xbins = 400
+        ybins = 400
+        zbins = np.arange(16000)
+        hist = np.histogramdd(sample=sample, bins=(xbins, ybins, zbins))
+        assert_equal(type(hist), type((1, 2)))
+
+    def test_gh_23110(self):
+        hist, e = np.histogram(np.array([-0.9e-308], dtype='>f8'),
+                               bins=2,
+                               range=(-1e-308, -2e-313))
+        expected_hist = np.array([1, 0])
+        assert_array_equal(hist, expected_hist)
+
+
+class TestHistogramOptimBinNums:
+    """
+    Provide test coverage when using provided estimators for optimal number of
+    bins
+    """
+
+    def test_empty(self):
+        estimator_list = ['fd', 'scott', 'rice', 'sturges',
+                          'doane', 'sqrt', 'auto', 'stone']
+        # check it can deal with empty data
+        for estimator in estimator_list:
+            a, b = histogram([], bins=estimator)
+            assert_array_equal(a, np.array([0]))
+            assert_array_equal(b, np.array([0, 1]))
+
+    def test_simple(self):
+        """
+        Straightforward testing with a mixture of linspace data (for
+        consistency). All test values have been precomputed and the values
+        shouldn't change
+        """
+        # Some basic sanity checking, with some fixed data.
+        # Checking for the correct number of bins
+        basic_test = {50:   {'fd': 4,  'scott': 4,  'rice': 8,  'sturges': 7,
+                             'doane': 8, 'sqrt': 8, 'auto': 7, 'stone': 2},
+                      500:  {'fd': 8,  'scott': 8,  'rice': 16, 'sturges': 10,
+                             'doane': 12, 'sqrt': 23, 'auto': 10, 'stone': 9},
+                      5000: {'fd': 17, 'scott': 17, 'rice': 35, 'sturges': 14,
+                             'doane': 17, 'sqrt': 71, 'auto': 17, 'stone': 20}}
+
+        for testlen, expectedResults in basic_test.items():
+            # Create some sort of non uniform data to test with
+            # (2 peak uniform mixture)
+            x1 = np.linspace(-10, -1, testlen // 5 * 2)
+            x2 = np.linspace(1, 10, testlen // 5 * 3)
+            x = np.concatenate((x1, x2))
+            for estimator, numbins in expectedResults.items():
+                a, b = np.histogram(x, estimator)
+                assert_equal(len(a), numbins, err_msg="For the {0} estimator "
+                             "with datasize of {1}".format(estimator, testlen))
+
+    def test_small(self):
+        """
+        Smaller datasets have the potential to cause issues with the data
+        adaptive methods, especially the FD method. All bin numbers have been
+        precalculated.
+        """
+        small_dat = {1: {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1,
+                         'doane': 1, 'sqrt': 1, 'stone': 1},
+                     2: {'fd': 2, 'scott': 1, 'rice': 3, 'sturges': 2,
+                         'doane': 1, 'sqrt': 2, 'stone': 1},
+                     3: {'fd': 2, 'scott': 2, 'rice': 3, 'sturges': 3,
+                         'doane': 3, 'sqrt': 2, 'stone': 1}}
+
+        for testlen, expectedResults in small_dat.items():
+            testdat = np.arange(testlen).astype(float)
+            for estimator, expbins in expectedResults.items():
+                a, b = np.histogram(testdat, estimator)
+                assert_equal(len(a), expbins, err_msg="For the {0} estimator "
+                             "with datasize of {1}".format(estimator, testlen))
+
+    def test_incorrect_methods(self):
+        """
+        Check a Value Error is thrown when an unknown string is passed in
+        """
+        check_list = ['mad', 'freeman', 'histograms', 'IQR']
+        for estimator in check_list:
+            assert_raises(ValueError, histogram, [1, 2, 3], estimator)
+
+    def test_novariance(self):
+        """
+        Check that methods handle no variance in data
+        Primarily for Scott and FD as the SD and IQR are both 0 in this case
+        """
+        novar_dataset = np.ones(100)
+        novar_resultdict = {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1,
+                            'doane': 1, 'sqrt': 1, 'auto': 1, 'stone': 1}
+
+        for estimator, numbins in novar_resultdict.items():
+            a, b = np.histogram(novar_dataset, estimator)
+            assert_equal(len(a), numbins, err_msg="{0} estimator, "
+                         "No Variance test".format(estimator))
+
+    def test_limited_variance(self):
+        """
+        Check when IQR is 0, but variance exists, we return the sturges value
+        and not the fd value.
+        """
+        lim_var_data = np.ones(1000)
+        lim_var_data[:3] = 0
+        lim_var_data[-4:] = 100
+
+        edges_auto = histogram_bin_edges(lim_var_data, 'auto')
+        assert_equal(edges_auto, np.linspace(0, 100, 12))
+
+        edges_fd = histogram_bin_edges(lim_var_data, 'fd')
+        assert_equal(edges_fd, np.array([0, 100]))
+
+        edges_sturges = histogram_bin_edges(lim_var_data, 'sturges')
+        assert_equal(edges_sturges, np.linspace(0, 100, 12))
+
+    def test_outlier(self):
+        """
+        Check the FD, Scott and Doane with outliers.
+
+        The FD estimates a smaller binwidth since it's less affected by
+        outliers. Since the range is so (artificially) large, this means more
+        bins, most of which will be empty, but the data of interest usually is
+        unaffected. The Scott estimator is more affected and returns fewer bins,
+        despite most of the variance being in one area of the data. The Doane
+        estimator lies somewhere between the other two.
+        """
+        xcenter = np.linspace(-10, 10, 50)
+        outlier_dataset = np.hstack((np.linspace(-110, -100, 5), xcenter))
+
+        outlier_resultdict = {'fd': 21, 'scott': 5, 'doane': 11, 'stone': 6}
+
+        for estimator, numbins in outlier_resultdict.items():
+            a, b = np.histogram(outlier_dataset, estimator)
+            assert_equal(len(a), numbins)
+
+    def test_scott_vs_stone(self):
+        """Verify that Scott's rule and Stone's rule converges for normally distributed data"""
+
+        def nbins_ratio(seed, size):
+            rng = np.random.RandomState(seed)
+            x = rng.normal(loc=0, scale=2, size=size)
+            a, b = len(np.histogram(x, 'stone')[0]), len(np.histogram(x, 'scott')[0])
+            return a / (a + b)
+
+        ll = [[nbins_ratio(seed, size) for size in np.geomspace(start=10, stop=100, num=4).round().astype(int)]
+              for seed in range(10)]
+
+        # the average difference between the two methods decreases as the dataset size increases.
+        avg = abs(np.mean(ll, axis=0) - 0.5)
+        assert_almost_equal(avg, [0.15, 0.09, 0.08, 0.03], decimal=2)
+
+    def test_simple_range(self):
+        """
+        Straightforward testing with a mixture of linspace data (for
+        consistency). Adding in a 3rd mixture that will then be
+        completely ignored. All test values have been precomputed and
+        the shouldn't change.
+        """
+        # some basic sanity checking, with some fixed data.
+        # Checking for the correct number of bins
+        basic_test = {
+                      50:   {'fd': 8,  'scott': 8,  'rice': 15,
+                             'sturges': 14, 'auto': 14, 'stone': 8},
+                      500:  {'fd': 15, 'scott': 16, 'rice': 32,
+                             'sturges': 20, 'auto': 20, 'stone': 80},
+                      5000: {'fd': 33, 'scott': 33, 'rice': 69,
+                             'sturges': 27, 'auto': 33, 'stone': 80}
+                     }
+
+        for testlen, expectedResults in basic_test.items():
+            # create some sort of non uniform data to test with
+            # (3 peak uniform mixture)
+            x1 = np.linspace(-10, -1, testlen // 5 * 2)
+            x2 = np.linspace(1, 10, testlen // 5 * 3)
+            x3 = np.linspace(-100, -50, testlen)
+            x = np.hstack((x1, x2, x3))
+            for estimator, numbins in expectedResults.items():
+                a, b = np.histogram(x, estimator, range = (-20, 20))
+                msg = "For the {0} estimator".format(estimator)
+                msg += " with datasize of {0}".format(testlen)
+                assert_equal(len(a), numbins, err_msg=msg)
+
+    @pytest.mark.parametrize("bins", ['auto', 'fd', 'doane', 'scott',
+                                      'stone', 'rice', 'sturges'])
+    def test_signed_integer_data(self, bins):
+        # Regression test for gh-14379.
+        a = np.array([-2, 0, 127], dtype=np.int8)
+        hist, edges = np.histogram(a, bins=bins)
+        hist32, edges32 = np.histogram(a.astype(np.int32), bins=bins)
+        assert_array_equal(hist, hist32)
+        assert_array_equal(edges, edges32)
+
+    @pytest.mark.parametrize("bins", ['auto', 'fd', 'doane', 'scott',
+                                      'stone', 'rice', 'sturges'])
+    def test_integer(self, bins):
+        """
+        Test that bin width for integer data is at least 1.
+        """
+        with suppress_warnings() as sup:
+            if bins == 'stone':
+                sup.filter(RuntimeWarning)
+            assert_equal(
+                np.histogram_bin_edges(np.tile(np.arange(9), 1000), bins),
+                np.arange(9))
+
+    def test_integer_non_auto(self):
+        """
+        Test that the bin-width>=1 requirement *only* applies to auto binning.
+        """
+        assert_equal(
+            np.histogram_bin_edges(np.tile(np.arange(9), 1000), 16),
+            np.arange(17) / 2)
+        assert_equal(
+            np.histogram_bin_edges(np.tile(np.arange(9), 1000), [.1, .2]),
+            [.1, .2])
+
+    def test_simple_weighted(self):
+        """
+        Check that weighted data raises a TypeError
+        """
+        estimator_list = ['fd', 'scott', 'rice', 'sturges', 'auto']
+        for estimator in estimator_list:
+            assert_raises(TypeError, histogram, [1, 2, 3],
+                          estimator, weights=[1, 2, 3])
+
+
+class TestHistogramdd:
+
+    def test_simple(self):
+        x = np.array([[-.5, .5, 1.5], [-.5, 1.5, 2.5], [-.5, 2.5, .5],
+                      [.5,  .5, 1.5], [.5,  1.5, 2.5], [.5,  2.5, 2.5]])
+        H, edges = histogramdd(x, (2, 3, 3),
+                               range=[[-1, 1], [0, 3], [0, 3]])
+        answer = np.array([[[0, 1, 0], [0, 0, 1], [1, 0, 0]],
+                           [[0, 1, 0], [0, 0, 1], [0, 0, 1]]])
+        assert_array_equal(H, answer)
+
+        # Check normalization
+        ed = [[-2, 0, 2], [0, 1, 2, 3], [0, 1, 2, 3]]
+        H, edges = histogramdd(x, bins=ed, density=True)
+        assert_(np.all(H == answer / 12.))
+
+        # Check that H has the correct shape.
+        H, edges = histogramdd(x, (2, 3, 4),
+                               range=[[-1, 1], [0, 3], [0, 4]],
+                               density=True)
+        answer = np.array([[[0, 1, 0, 0], [0, 0, 1, 0], [1, 0, 0, 0]],
+                           [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0]]])
+        assert_array_almost_equal(H, answer / 6., 4)
+        # Check that a sequence of arrays is accepted and H has the correct
+        # shape.
+        z = [np.squeeze(y) for y in np.split(x, 3, axis=1)]
+        H, edges = histogramdd(
+            z, bins=(4, 3, 2), range=[[-2, 2], [0, 3], [0, 2]])
+        answer = np.array([[[0, 0], [0, 0], [0, 0]],
+                           [[0, 1], [0, 0], [1, 0]],
+                           [[0, 1], [0, 0], [0, 0]],
+                           [[0, 0], [0, 0], [0, 0]]])
+        assert_array_equal(H, answer)
+
+        Z = np.zeros((5, 5, 5))
+        Z[list(range(5)), list(range(5)), list(range(5))] = 1.
+        H, edges = histogramdd([np.arange(5), np.arange(5), np.arange(5)], 5)
+        assert_array_equal(H, Z)
+
+    def test_shape_3d(self):
+        # All possible permutations for bins of different lengths in 3D.
+        bins = ((5, 4, 6), (6, 4, 5), (5, 6, 4), (4, 6, 5), (6, 5, 4),
+                (4, 5, 6))
+        r = np.random.rand(10, 3)
+        for b in bins:
+            H, edges = histogramdd(r, b)
+            assert_(H.shape == b)
+
+    def test_shape_4d(self):
+        # All possible permutations for bins of different lengths in 4D.
+        bins = ((7, 4, 5, 6), (4, 5, 7, 6), (5, 6, 4, 7), (7, 6, 5, 4),
+                (5, 7, 6, 4), (4, 6, 7, 5), (6, 5, 7, 4), (7, 5, 4, 6),
+                (7, 4, 6, 5), (6, 4, 7, 5), (6, 7, 5, 4), (4, 6, 5, 7),
+                (4, 7, 5, 6), (5, 4, 6, 7), (5, 7, 4, 6), (6, 7, 4, 5),
+                (6, 5, 4, 7), (4, 7, 6, 5), (4, 5, 6, 7), (7, 6, 4, 5),
+                (5, 4, 7, 6), (5, 6, 7, 4), (6, 4, 5, 7), (7, 5, 6, 4))
+
+        r = np.random.rand(10, 4)
+        for b in bins:
+            H, edges = histogramdd(r, b)
+            assert_(H.shape == b)
+
+    def test_weights(self):
+        v = np.random.rand(100, 2)
+        hist, edges = histogramdd(v)
+        n_hist, edges = histogramdd(v, density=True)
+        w_hist, edges = histogramdd(v, weights=np.ones(100))
+        assert_array_equal(w_hist, hist)
+        w_hist, edges = histogramdd(v, weights=np.ones(100) * 2, density=True)
+        assert_array_equal(w_hist, n_hist)
+        w_hist, edges = histogramdd(v, weights=np.ones(100, int) * 2)
+        assert_array_equal(w_hist, 2 * hist)
+
+    def test_identical_samples(self):
+        x = np.zeros((10, 2), int)
+        hist, edges = histogramdd(x, bins=2)
+        assert_array_equal(edges[0], np.array([-0.5, 0., 0.5]))
+
+    def test_empty(self):
+        a, b = histogramdd([[], []], bins=([0, 1], [0, 1]))
+        assert_array_max_ulp(a, np.array([[0.]]))
+        a, b = np.histogramdd([[], [], []], bins=2)
+        assert_array_max_ulp(a, np.zeros((2, 2, 2)))
+
+    def test_bins_errors(self):
+        # There are two ways to specify bins. Check for the right errors
+        # when mixing those.
+        x = np.arange(8).reshape(2, 4)
+        assert_raises(ValueError, np.histogramdd, x, bins=[-1, 2, 4, 5])
+        assert_raises(ValueError, np.histogramdd, x, bins=[1, 0.99, 1, 1])
+        assert_raises(
+            ValueError, np.histogramdd, x, bins=[1, 1, 1, [1, 2, 3, -3]])
+        assert_(np.histogramdd(x, bins=[1, 1, 1, [1, 2, 3, 4]]))
+
+    def test_inf_edges(self):
+        # Test using +/-inf bin edges works. See #1788.
+        with np.errstate(invalid='ignore'):
+            x = np.arange(6).reshape(3, 2)
+            expected = np.array([[1, 0], [0, 1], [0, 1]])
+            h, e = np.histogramdd(x, bins=[3, [-np.inf, 2, 10]])
+            assert_allclose(h, expected)
+            h, e = np.histogramdd(x, bins=[3, np.array([-1, 2, np.inf])])
+            assert_allclose(h, expected)
+            h, e = np.histogramdd(x, bins=[3, [-np.inf, 3, np.inf]])
+            assert_allclose(h, expected)
+
+    def test_rightmost_binedge(self):
+        # Test event very close to rightmost binedge. See Github issue #4266
+        x = [0.9999999995]
+        bins = [[0., 0.5, 1.0]]
+        hist, _ = histogramdd(x, bins=bins)
+        assert_(hist[0] == 0.0)
+        assert_(hist[1] == 1.)
+        x = [1.0]
+        bins = [[0., 0.5, 1.0]]
+        hist, _ = histogramdd(x, bins=bins)
+        assert_(hist[0] == 0.0)
+        assert_(hist[1] == 1.)
+        x = [1.0000000001]
+        bins = [[0., 0.5, 1.0]]
+        hist, _ = histogramdd(x, bins=bins)
+        assert_(hist[0] == 0.0)
+        assert_(hist[1] == 0.0)
+        x = [1.0001]
+        bins = [[0., 0.5, 1.0]]
+        hist, _ = histogramdd(x, bins=bins)
+        assert_(hist[0] == 0.0)
+        assert_(hist[1] == 0.0)
+
+    def test_finite_range(self):
+        vals = np.random.random((100, 3))
+        histogramdd(vals, range=[[0.0, 1.0], [0.25, 0.75], [0.25, 0.5]])
+        assert_raises(ValueError, histogramdd, vals,
+                      range=[[0.0, 1.0], [0.25, 0.75], [0.25, np.inf]])
+        assert_raises(ValueError, histogramdd, vals,
+                      range=[[0.0, 1.0], [np.nan, 0.75], [0.25, 0.5]])
+
+    def test_equal_edges(self):
+        """ Test that adjacent entries in an edge array can be equal """
+        x = np.array([0, 1, 2])
+        y = np.array([0, 1, 2])
+        x_edges = np.array([0, 2, 2])
+        y_edges = 1
+        hist, edges = histogramdd((x, y), bins=(x_edges, y_edges))
+
+        hist_expected = np.array([
+            [2.],
+            [1.],  # x == 2 falls in the final bin
+        ])
+        assert_equal(hist, hist_expected)
+
+    def test_edge_dtype(self):
+        """ Test that if an edge array is input, its type is preserved """
+        x = np.array([0, 10, 20])
+        y = x / 10
+        x_edges = np.array([0, 5, 15, 20])
+        y_edges = x_edges / 10
+        hist, edges = histogramdd((x, y), bins=(x_edges, y_edges))
+
+        assert_equal(edges[0].dtype, x_edges.dtype)
+        assert_equal(edges[1].dtype, y_edges.dtype)
+
+    def test_large_integers(self):
+        big = 2**60  # Too large to represent with a full precision float
+
+        x = np.array([0], np.int64)
+        x_edges = np.array([-1, +1], np.int64)
+        y = big + x
+        y_edges = big + x_edges
+
+        hist, edges = histogramdd((x, y), bins=(x_edges, y_edges))
+
+        assert_equal(hist[0, 0], 1)
+
+    def test_density_non_uniform_2d(self):
+        # Defines the following grid:
+        #
+        #    0 2     8
+        #   0+-+-----+
+        #    + |     +
+        #    + |     +
+        #   6+-+-----+
+        #   8+-+-----+
+        x_edges = np.array([0, 2, 8])
+        y_edges = np.array([0, 6, 8])
+        relative_areas = np.array([
+            [3, 9],
+            [1, 3]])
+
+        # ensure the number of points in each region is proportional to its area
+        x = np.array([1] + [1]*3 + [7]*3 + [7]*9)
+        y = np.array([7] + [1]*3 + [7]*3 + [1]*9)
+
+        # sanity check that the above worked as intended
+        hist, edges = histogramdd((y, x), bins=(y_edges, x_edges))
+        assert_equal(hist, relative_areas)
+
+        # resulting histogram should be uniform, since counts and areas are proportional
+        hist, edges = histogramdd((y, x), bins=(y_edges, x_edges), density=True)
+        assert_equal(hist, 1 / (8*8))
+
+    def test_density_non_uniform_1d(self):
+        # compare to histogram to show the results are the same
+        v = np.arange(10)
+        bins = np.array([0, 1, 3, 6, 10])
+        hist, edges = histogram(v, bins, density=True)
+        hist_dd, edges_dd = histogramdd((v,), (bins,), density=True)
+        assert_equal(hist, hist_dd)
+        assert_equal(edges, edges_dd[0])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_index_tricks.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_index_tricks.py
new file mode 100644
index 0000000000000000000000000000000000000000..fe1cfce2eaf83272d0a01d3fb1911772693c69d7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_index_tricks.py
@@ -0,0 +1,553 @@
+import pytest
+
+import numpy as np
+from numpy.testing import (
+    assert_, assert_equal, assert_array_equal, assert_almost_equal,
+    assert_array_almost_equal, assert_raises, assert_raises_regex,
+    )
+from numpy.lib._index_tricks_impl import (
+    mgrid, ogrid, ndenumerate, fill_diagonal, diag_indices, diag_indices_from,
+    index_exp, ndindex, c_, r_, s_, ix_
+    )
+
+
+class TestRavelUnravelIndex:
+    def test_basic(self):
+        assert_equal(np.unravel_index(2, (2, 2)), (1, 0))
+
+        # test that new shape argument works properly
+        assert_equal(np.unravel_index(indices=2,
+                                      shape=(2, 2)),
+                                      (1, 0))
+
+        # test that an invalid second keyword argument
+        # is properly handled, including the old name `dims`.
+        with assert_raises(TypeError):
+            np.unravel_index(indices=2, hape=(2, 2))
+
+        with assert_raises(TypeError):
+            np.unravel_index(2, hape=(2, 2))
+
+        with assert_raises(TypeError):
+            np.unravel_index(254, ims=(17, 94))
+
+        with assert_raises(TypeError):
+            np.unravel_index(254, dims=(17, 94))
+
+        assert_equal(np.ravel_multi_index((1, 0), (2, 2)), 2)
+        assert_equal(np.unravel_index(254, (17, 94)), (2, 66))
+        assert_equal(np.ravel_multi_index((2, 66), (17, 94)), 254)
+        assert_raises(ValueError, np.unravel_index, -1, (2, 2))
+        assert_raises(TypeError, np.unravel_index, 0.5, (2, 2))
+        assert_raises(ValueError, np.unravel_index, 4, (2, 2))
+        assert_raises(ValueError, np.ravel_multi_index, (-3, 1), (2, 2))
+        assert_raises(ValueError, np.ravel_multi_index, (2, 1), (2, 2))
+        assert_raises(ValueError, np.ravel_multi_index, (0, -3), (2, 2))
+        assert_raises(ValueError, np.ravel_multi_index, (0, 2), (2, 2))
+        assert_raises(TypeError, np.ravel_multi_index, (0.1, 0.), (2, 2))
+
+        assert_equal(np.unravel_index((2*3 + 1)*6 + 4, (4, 3, 6)), [2, 1, 4])
+        assert_equal(
+            np.ravel_multi_index([2, 1, 4], (4, 3, 6)), (2*3 + 1)*6 + 4)
+
+        arr = np.array([[3, 6, 6], [4, 5, 1]])
+        assert_equal(np.ravel_multi_index(arr, (7, 6)), [22, 41, 37])
+        assert_equal(
+            np.ravel_multi_index(arr, (7, 6), order='F'), [31, 41, 13])
+        assert_equal(
+            np.ravel_multi_index(arr, (4, 6), mode='clip'), [22, 23, 19])
+        assert_equal(np.ravel_multi_index(arr, (4, 4), mode=('clip', 'wrap')),
+                     [12, 13, 13])
+        assert_equal(np.ravel_multi_index((3, 1, 4, 1), (6, 7, 8, 9)), 1621)
+
+        assert_equal(np.unravel_index(np.array([22, 41, 37]), (7, 6)),
+                     [[3, 6, 6], [4, 5, 1]])
+        assert_equal(
+            np.unravel_index(np.array([31, 41, 13]), (7, 6), order='F'),
+            [[3, 6, 6], [4, 5, 1]])
+        assert_equal(np.unravel_index(1621, (6, 7, 8, 9)), [3, 1, 4, 1])
+
+    def test_empty_indices(self):
+        msg1 = 'indices must be integral: the provided empty sequence was'
+        msg2 = 'only int indices permitted'
+        assert_raises_regex(TypeError, msg1, np.unravel_index, [], (10, 3, 5))
+        assert_raises_regex(TypeError, msg1, np.unravel_index, (), (10, 3, 5))
+        assert_raises_regex(TypeError, msg2, np.unravel_index, np.array([]),
+                            (10, 3, 5))
+        assert_equal(np.unravel_index(np.array([],dtype=int), (10, 3, 5)),
+                     [[], [], []])
+        assert_raises_regex(TypeError, msg1, np.ravel_multi_index, ([], []),
+                            (10, 3))
+        assert_raises_regex(TypeError, msg1, np.ravel_multi_index, ([], ['abc']),
+                            (10, 3))
+        assert_raises_regex(TypeError, msg2, np.ravel_multi_index,
+                    (np.array([]), np.array([])), (5, 3))
+        assert_equal(np.ravel_multi_index(
+                (np.array([], dtype=int), np.array([], dtype=int)), (5, 3)), [])
+        assert_equal(np.ravel_multi_index(np.array([[], []], dtype=int),
+                     (5, 3)), [])
+
+    def test_big_indices(self):
+        # ravel_multi_index for big indices (issue #7546)
+        if np.intp == np.int64:
+            arr = ([1, 29], [3, 5], [3, 117], [19, 2],
+                   [2379, 1284], [2, 2], [0, 1])
+            assert_equal(
+                np.ravel_multi_index(arr, (41, 7, 120, 36, 2706, 8, 6)),
+                [5627771580, 117259570957])
+
+        # test unravel_index for big indices (issue #9538)
+        assert_raises(ValueError, np.unravel_index, 1, (2**32-1, 2**31+1))
+
+        # test overflow checking for too big array (issue #7546)
+        dummy_arr = ([0],[0])
+        half_max = np.iinfo(np.intp).max // 2
+        assert_equal(
+            np.ravel_multi_index(dummy_arr, (half_max, 2)), [0])
+        assert_raises(ValueError,
+            np.ravel_multi_index, dummy_arr, (half_max+1, 2))
+        assert_equal(
+            np.ravel_multi_index(dummy_arr, (half_max, 2), order='F'), [0])
+        assert_raises(ValueError,
+            np.ravel_multi_index, dummy_arr, (half_max+1, 2), order='F')
+
+    def test_dtypes(self):
+        # Test with different data types
+        for dtype in [np.int16, np.uint16, np.int32,
+                      np.uint32, np.int64, np.uint64]:
+            coords = np.array(
+                [[1, 0, 1, 2, 3, 4], [1, 6, 1, 3, 2, 0]], dtype=dtype)
+            shape = (5, 8)
+            uncoords = 8*coords[0]+coords[1]
+            assert_equal(np.ravel_multi_index(coords, shape), uncoords)
+            assert_equal(coords, np.unravel_index(uncoords, shape))
+            uncoords = coords[0]+5*coords[1]
+            assert_equal(
+                np.ravel_multi_index(coords, shape, order='F'), uncoords)
+            assert_equal(coords, np.unravel_index(uncoords, shape, order='F'))
+
+            coords = np.array(
+                [[1, 0, 1, 2, 3, 4], [1, 6, 1, 3, 2, 0], [1, 3, 1, 0, 9, 5]],
+                dtype=dtype)
+            shape = (5, 8, 10)
+            uncoords = 10*(8*coords[0]+coords[1])+coords[2]
+            assert_equal(np.ravel_multi_index(coords, shape), uncoords)
+            assert_equal(coords, np.unravel_index(uncoords, shape))
+            uncoords = coords[0]+5*(coords[1]+8*coords[2])
+            assert_equal(
+                np.ravel_multi_index(coords, shape, order='F'), uncoords)
+            assert_equal(coords, np.unravel_index(uncoords, shape, order='F'))
+
+    def test_clipmodes(self):
+        # Test clipmodes
+        assert_equal(
+            np.ravel_multi_index([5, 1, -1, 2], (4, 3, 7, 12), mode='wrap'),
+            np.ravel_multi_index([1, 1, 6, 2], (4, 3, 7, 12)))
+        assert_equal(np.ravel_multi_index([5, 1, -1, 2], (4, 3, 7, 12),
+                                          mode=(
+                                              'wrap', 'raise', 'clip', 'raise')),
+                     np.ravel_multi_index([1, 1, 0, 2], (4, 3, 7, 12)))
+        assert_raises(
+            ValueError, np.ravel_multi_index, [5, 1, -1, 2], (4, 3, 7, 12))
+
+    def test_writeability(self):
+        # See gh-7269
+        x, y = np.unravel_index([1, 2, 3], (4, 5))
+        assert_(x.flags.writeable)
+        assert_(y.flags.writeable)
+
+    def test_0d(self):
+        # gh-580
+        x = np.unravel_index(0, ())
+        assert_equal(x, ())
+
+        assert_raises_regex(ValueError, "0d array", np.unravel_index, [0], ())
+        assert_raises_regex(
+            ValueError, "out of bounds", np.unravel_index, [1], ())
+
+    @pytest.mark.parametrize("mode", ["clip", "wrap", "raise"])
+    def test_empty_array_ravel(self, mode):
+        res = np.ravel_multi_index(
+                    np.zeros((3, 0), dtype=np.intp), (2, 1, 0), mode=mode)
+        assert(res.shape == (0,))
+
+        with assert_raises(ValueError):
+            np.ravel_multi_index(
+                    np.zeros((3, 1), dtype=np.intp), (2, 1, 0), mode=mode)
+
+    def test_empty_array_unravel(self):
+        res = np.unravel_index(np.zeros(0, dtype=np.intp), (2, 1, 0))
+        # res is a tuple of three empty arrays
+        assert(len(res) == 3)
+        assert(all(a.shape == (0,) for a in res))
+
+        with assert_raises(ValueError):
+            np.unravel_index([1], (2, 1, 0))
+
+class TestGrid:
+    def test_basic(self):
+        a = mgrid[-1:1:10j]
+        b = mgrid[-1:1:0.1]
+        assert_(a.shape == (10,))
+        assert_(b.shape == (20,))
+        assert_(a[0] == -1)
+        assert_almost_equal(a[-1], 1)
+        assert_(b[0] == -1)
+        assert_almost_equal(b[1]-b[0], 0.1, 11)
+        assert_almost_equal(b[-1], b[0]+19*0.1, 11)
+        assert_almost_equal(a[1]-a[0], 2.0/9.0, 11)
+
+    def test_linspace_equivalence(self):
+        y, st = np.linspace(2, 10, retstep=True)
+        assert_almost_equal(st, 8/49.0)
+        assert_array_almost_equal(y, mgrid[2:10:50j], 13)
+
+    def test_nd(self):
+        c = mgrid[-1:1:10j, -2:2:10j]
+        d = mgrid[-1:1:0.1, -2:2:0.2]
+        assert_(c.shape == (2, 10, 10))
+        assert_(d.shape == (2, 20, 20))
+        assert_array_equal(c[0][0, :], -np.ones(10, 'd'))
+        assert_array_equal(c[1][:, 0], -2*np.ones(10, 'd'))
+        assert_array_almost_equal(c[0][-1, :], np.ones(10, 'd'), 11)
+        assert_array_almost_equal(c[1][:, -1], 2*np.ones(10, 'd'), 11)
+        assert_array_almost_equal(d[0, 1, :] - d[0, 0, :],
+                                  0.1*np.ones(20, 'd'), 11)
+        assert_array_almost_equal(d[1, :, 1] - d[1, :, 0],
+                                  0.2*np.ones(20, 'd'), 11)
+
+    def test_sparse(self):
+        grid_full   = mgrid[-1:1:10j, -2:2:10j]
+        grid_sparse = ogrid[-1:1:10j, -2:2:10j]
+
+        # sparse grids can be made dense by broadcasting
+        grid_broadcast = np.broadcast_arrays(*grid_sparse)
+        for f, b in zip(grid_full, grid_broadcast):
+            assert_equal(f, b)
+
+    @pytest.mark.parametrize("start, stop, step, expected", [
+        (None, 10, 10j, (200, 10)),
+        (-10, 20, None, (1800, 30)),
+        ])
+    def test_mgrid_size_none_handling(self, start, stop, step, expected):
+        # regression test None value handling for
+        # start and step values used by mgrid;
+        # internally, this aims to cover previously
+        # unexplored code paths in nd_grid()
+        grid = mgrid[start:stop:step, start:stop:step]
+        # need a smaller grid to explore one of the
+        # untested code paths
+        grid_small = mgrid[start:stop:step]
+        assert_equal(grid.size, expected[0])
+        assert_equal(grid_small.size, expected[1])
+
+    def test_accepts_npfloating(self):
+        # regression test for #16466
+        grid64 = mgrid[0.1:0.33:0.1, ]
+        grid32 = mgrid[np.float32(0.1):np.float32(0.33):np.float32(0.1), ]
+        assert_array_almost_equal(grid64, grid32)
+        # At some point this was float64, but NEP 50 changed it:
+        assert grid32.dtype == np.float32
+        assert grid64.dtype == np.float64
+
+        # different code path for single slice
+        grid64 = mgrid[0.1:0.33:0.1]
+        grid32 = mgrid[np.float32(0.1):np.float32(0.33):np.float32(0.1)]
+        assert_(grid32.dtype == np.float64)
+        assert_array_almost_equal(grid64, grid32)
+
+    def test_accepts_longdouble(self):
+        # regression tests for #16945
+        grid64 = mgrid[0.1:0.33:0.1, ]
+        grid128 = mgrid[
+            np.longdouble(0.1):np.longdouble(0.33):np.longdouble(0.1),
+        ]
+        assert_(grid128.dtype == np.longdouble)
+        assert_array_almost_equal(grid64, grid128)
+
+        grid128c_a = mgrid[0:np.longdouble(1):3.4j]
+        grid128c_b = mgrid[0:np.longdouble(1):3.4j, ]
+        assert_(grid128c_a.dtype == grid128c_b.dtype == np.longdouble)
+        assert_array_equal(grid128c_a, grid128c_b[0])
+
+        # different code path for single slice
+        grid64 = mgrid[0.1:0.33:0.1]
+        grid128 = mgrid[
+            np.longdouble(0.1):np.longdouble(0.33):np.longdouble(0.1)
+        ]
+        assert_(grid128.dtype == np.longdouble)
+        assert_array_almost_equal(grid64, grid128)
+
+    def test_accepts_npcomplexfloating(self):
+        # Related to #16466
+        assert_array_almost_equal(
+            mgrid[0.1:0.3:3j, ], mgrid[0.1:0.3:np.complex64(3j), ]
+        )
+
+        # different code path for single slice
+        assert_array_almost_equal(
+            mgrid[0.1:0.3:3j], mgrid[0.1:0.3:np.complex64(3j)]
+        )
+
+        # Related to #16945
+        grid64_a = mgrid[0.1:0.3:3.3j]
+        grid64_b = mgrid[0.1:0.3:3.3j, ][0]
+        assert_(grid64_a.dtype == grid64_b.dtype == np.float64)
+        assert_array_equal(grid64_a, grid64_b)
+
+        grid128_a = mgrid[0.1:0.3:np.clongdouble(3.3j)]
+        grid128_b = mgrid[0.1:0.3:np.clongdouble(3.3j), ][0]
+        assert_(grid128_a.dtype == grid128_b.dtype == np.longdouble)
+        assert_array_equal(grid64_a, grid64_b)
+
+
+class TestConcatenator:
+    def test_1d(self):
+        assert_array_equal(r_[1, 2, 3, 4, 5, 6], np.array([1, 2, 3, 4, 5, 6]))
+        b = np.ones(5)
+        c = r_[b, 0, 0, b]
+        assert_array_equal(c, [1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1])
+
+    def test_mixed_type(self):
+        g = r_[10.1, 1:10]
+        assert_(g.dtype == 'f8')
+
+    def test_more_mixed_type(self):
+        g = r_[-10.1, np.array([1]), np.array([2, 3, 4]), 10.0]
+        assert_(g.dtype == 'f8')
+
+    def test_complex_step(self):
+        # Regression test for #12262
+        g = r_[0:36:100j]
+        assert_(g.shape == (100,))
+
+        # Related to #16466
+        g = r_[0:36:np.complex64(100j)]
+        assert_(g.shape == (100,))
+
+    def test_2d(self):
+        b = np.random.rand(5, 5)
+        c = np.random.rand(5, 5)
+        d = r_['1', b, c]  # append columns
+        assert_(d.shape == (5, 10))
+        assert_array_equal(d[:, :5], b)
+        assert_array_equal(d[:, 5:], c)
+        d = r_[b, c]
+        assert_(d.shape == (10, 5))
+        assert_array_equal(d[:5, :], b)
+        assert_array_equal(d[5:, :], c)
+
+    def test_0d(self):
+        assert_equal(r_[0, np.array(1), 2], [0, 1, 2])
+        assert_equal(r_[[0, 1, 2], np.array(3)], [0, 1, 2, 3])
+        assert_equal(r_[np.array(0), [1, 2, 3]], [0, 1, 2, 3])
+
+
+class TestNdenumerate:
+    def test_basic(self):
+        a = np.array([[1, 2], [3, 4]])
+        assert_equal(list(ndenumerate(a)),
+                     [((0, 0), 1), ((0, 1), 2), ((1, 0), 3), ((1, 1), 4)])
+
+
+class TestIndexExpression:
+    def test_regression_1(self):
+        # ticket #1196
+        a = np.arange(2)
+        assert_equal(a[:-1], a[s_[:-1]])
+        assert_equal(a[:-1], a[index_exp[:-1]])
+
+    def test_simple_1(self):
+        a = np.random.rand(4, 5, 6)
+
+        assert_equal(a[:, :3, [1, 2]], a[index_exp[:, :3, [1, 2]]])
+        assert_equal(a[:, :3, [1, 2]], a[s_[:, :3, [1, 2]]])
+
+
+class TestIx_:
+    def test_regression_1(self):
+        # Test empty untyped inputs create outputs of indexing type, gh-5804
+        a, = np.ix_(range(0))
+        assert_equal(a.dtype, np.intp)
+
+        a, = np.ix_([])
+        assert_equal(a.dtype, np.intp)
+
+        # but if the type is specified, don't change it
+        a, = np.ix_(np.array([], dtype=np.float32))
+        assert_equal(a.dtype, np.float32)
+
+    def test_shape_and_dtype(self):
+        sizes = (4, 5, 3, 2)
+        # Test both lists and arrays
+        for func in (range, np.arange):
+            arrays = np.ix_(*[func(sz) for sz in sizes])
+            for k, (a, sz) in enumerate(zip(arrays, sizes)):
+                assert_equal(a.shape[k], sz)
+                assert_(all(sh == 1 for j, sh in enumerate(a.shape) if j != k))
+                assert_(np.issubdtype(a.dtype, np.integer))
+
+    def test_bool(self):
+        bool_a = [True, False, True, True]
+        int_a, = np.nonzero(bool_a)
+        assert_equal(np.ix_(bool_a)[0], int_a)
+
+    def test_1d_only(self):
+        idx2d = [[1, 2, 3], [4, 5, 6]]
+        assert_raises(ValueError, np.ix_, idx2d)
+
+    def test_repeated_input(self):
+        length_of_vector = 5
+        x = np.arange(length_of_vector)
+        out = ix_(x, x)
+        assert_equal(out[0].shape, (length_of_vector, 1))
+        assert_equal(out[1].shape, (1, length_of_vector))
+        # check that input shape is not modified
+        assert_equal(x.shape, (length_of_vector,))
+
+
+def test_c_():
+    a = c_[np.array([[1, 2, 3]]), 0, 0, np.array([[4, 5, 6]])]
+    assert_equal(a, [[1, 2, 3, 0, 0, 4, 5, 6]])
+
+
+class TestFillDiagonal:
+    def test_basic(self):
+        a = np.zeros((3, 3), int)
+        fill_diagonal(a, 5)
+        assert_array_equal(
+            a, np.array([[5, 0, 0],
+                         [0, 5, 0],
+                         [0, 0, 5]])
+            )
+
+    def test_tall_matrix(self):
+        a = np.zeros((10, 3), int)
+        fill_diagonal(a, 5)
+        assert_array_equal(
+            a, np.array([[5, 0, 0],
+                         [0, 5, 0],
+                         [0, 0, 5],
+                         [0, 0, 0],
+                         [0, 0, 0],
+                         [0, 0, 0],
+                         [0, 0, 0],
+                         [0, 0, 0],
+                         [0, 0, 0],
+                         [0, 0, 0]])
+            )
+
+    def test_tall_matrix_wrap(self):
+        a = np.zeros((10, 3), int)
+        fill_diagonal(a, 5, True)
+        assert_array_equal(
+            a, np.array([[5, 0, 0],
+                         [0, 5, 0],
+                         [0, 0, 5],
+                         [0, 0, 0],
+                         [5, 0, 0],
+                         [0, 5, 0],
+                         [0, 0, 5],
+                         [0, 0, 0],
+                         [5, 0, 0],
+                         [0, 5, 0]])
+            )
+
+    def test_wide_matrix(self):
+        a = np.zeros((3, 10), int)
+        fill_diagonal(a, 5)
+        assert_array_equal(
+            a, np.array([[5, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+                         [0, 5, 0, 0, 0, 0, 0, 0, 0, 0],
+                         [0, 0, 5, 0, 0, 0, 0, 0, 0, 0]])
+            )
+
+    def test_operate_4d_array(self):
+        a = np.zeros((3, 3, 3, 3), int)
+        fill_diagonal(a, 4)
+        i = np.array([0, 1, 2])
+        assert_equal(np.where(a != 0), (i, i, i, i))
+
+    def test_low_dim_handling(self):
+        # raise error with low dimensionality
+        a = np.zeros(3, int)
+        with assert_raises_regex(ValueError, "at least 2-d"):
+            fill_diagonal(a, 5)
+
+    def test_hetero_shape_handling(self):
+        # raise error with high dimensionality and
+        # shape mismatch
+        a = np.zeros((3,3,7,3), int)
+        with assert_raises_regex(ValueError, "equal length"):
+            fill_diagonal(a, 2)
+
+
+def test_diag_indices():
+    di = diag_indices(4)
+    a = np.array([[1, 2, 3, 4],
+                  [5, 6, 7, 8],
+                  [9, 10, 11, 12],
+                  [13, 14, 15, 16]])
+    a[di] = 100
+    assert_array_equal(
+        a, np.array([[100, 2, 3, 4],
+                     [5, 100, 7, 8],
+                     [9, 10, 100, 12],
+                     [13, 14, 15, 100]])
+        )
+
+    # Now, we create indices to manipulate a 3-d array:
+    d3 = diag_indices(2, 3)
+
+    # And use it to set the diagonal of a zeros array to 1:
+    a = np.zeros((2, 2, 2), int)
+    a[d3] = 1
+    assert_array_equal(
+        a, np.array([[[1, 0],
+                      [0, 0]],
+                     [[0, 0],
+                      [0, 1]]])
+        )
+
+
+class TestDiagIndicesFrom:
+
+    def test_diag_indices_from(self):
+        x = np.random.random((4, 4))
+        r, c = diag_indices_from(x)
+        assert_array_equal(r, np.arange(4))
+        assert_array_equal(c, np.arange(4))
+
+    def test_error_small_input(self):
+        x = np.ones(7)
+        with assert_raises_regex(ValueError, "at least 2-d"):
+            diag_indices_from(x)
+
+    def test_error_shape_mismatch(self):
+        x = np.zeros((3, 3, 2, 3), int)
+        with assert_raises_regex(ValueError, "equal length"):
+            diag_indices_from(x)
+
+
+def test_ndindex():
+    x = list(ndindex(1, 2, 3))
+    expected = [ix for ix, e in ndenumerate(np.zeros((1, 2, 3)))]
+    assert_array_equal(x, expected)
+
+    x = list(ndindex((1, 2, 3)))
+    assert_array_equal(x, expected)
+
+    # Test use of scalars and tuples
+    x = list(ndindex((3,)))
+    assert_array_equal(x, list(ndindex(3)))
+
+    # Make sure size argument is optional
+    x = list(ndindex())
+    assert_equal(x, [()])
+
+    x = list(ndindex(()))
+    assert_equal(x, [()])
+
+    # Make sure 0-sized ndindex works correctly
+    x = list(ndindex(*[0]))
+    assert_equal(x, [])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_io.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_io.py
new file mode 100644
index 0000000000000000000000000000000000000000..742915e22ef09268d986aee3482a9da9a3602be1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_io.py
@@ -0,0 +1,2821 @@
+import sys
+import gc
+import gzip
+import os
+import threading
+import time
+import warnings
+import re
+import pytest
+from pathlib import Path
+from tempfile import NamedTemporaryFile
+from io import BytesIO, StringIO
+from datetime import datetime
+import locale
+from multiprocessing import Value, get_context
+from ctypes import c_bool
+
+import numpy as np
+import numpy.ma as ma
+from numpy.exceptions import VisibleDeprecationWarning
+from numpy.lib._iotools import ConverterError, ConversionWarning
+from numpy.lib import _npyio_impl
+from numpy.lib._npyio_impl import recfromcsv, recfromtxt
+from numpy.ma.testutils import assert_equal
+from numpy.testing import (
+    assert_warns, assert_, assert_raises_regex, assert_raises,
+    assert_allclose, assert_array_equal, temppath, tempdir, IS_PYPY,
+    HAS_REFCOUNT, suppress_warnings, assert_no_gc_cycles, assert_no_warnings,
+    break_cycles, IS_WASM
+    )
+from numpy.testing._private.utils import requires_memory
+from numpy._utils import asbytes
+
+
+class TextIO(BytesIO):
+    """Helper IO class.
+
+    Writes encode strings to bytes if needed, reads return bytes.
+    This makes it easier to emulate files opened in binary mode
+    without needing to explicitly convert strings to bytes in
+    setting up the test data.
+
+    """
+    def __init__(self, s=""):
+        BytesIO.__init__(self, asbytes(s))
+
+    def write(self, s):
+        BytesIO.write(self, asbytes(s))
+
+    def writelines(self, lines):
+        BytesIO.writelines(self, [asbytes(s) for s in lines])
+
+
+IS_64BIT = sys.maxsize > 2**32
+try:
+    import bz2
+    HAS_BZ2 = True
+except ImportError:
+    HAS_BZ2 = False
+try:
+    import lzma
+    HAS_LZMA = True
+except ImportError:
+    HAS_LZMA = False
+
+
+def strptime(s, fmt=None):
+    """
+    This function is available in the datetime module only from Python >=
+    2.5.
+
+    """
+    if type(s) == bytes:
+        s = s.decode("latin1")
+    return datetime(*time.strptime(s, fmt)[:3])
+
+
+class RoundtripTest:
+    def roundtrip(self, save_func, *args, **kwargs):
+        """
+        save_func : callable
+            Function used to save arrays to file.
+        file_on_disk : bool
+            If true, store the file on disk, instead of in a
+            string buffer.
+        save_kwds : dict
+            Parameters passed to `save_func`.
+        load_kwds : dict
+            Parameters passed to `numpy.load`.
+        args : tuple of arrays
+            Arrays stored to file.
+
+        """
+        save_kwds = kwargs.get('save_kwds', {})
+        load_kwds = kwargs.get('load_kwds', {"allow_pickle": True})
+        file_on_disk = kwargs.get('file_on_disk', False)
+
+        if file_on_disk:
+            target_file = NamedTemporaryFile(delete=False)
+            load_file = target_file.name
+        else:
+            target_file = BytesIO()
+            load_file = target_file
+
+        try:
+            arr = args
+
+            save_func(target_file, *arr, **save_kwds)
+            target_file.flush()
+            target_file.seek(0)
+
+            if sys.platform == 'win32' and not isinstance(target_file, BytesIO):
+                target_file.close()
+
+            arr_reloaded = np.load(load_file, **load_kwds)
+
+            self.arr = arr
+            self.arr_reloaded = arr_reloaded
+        finally:
+            if not isinstance(target_file, BytesIO):
+                target_file.close()
+                # holds an open file descriptor so it can't be deleted on win
+                if 'arr_reloaded' in locals():
+                    if not isinstance(arr_reloaded, np.lib.npyio.NpzFile):
+                        os.remove(target_file.name)
+
+    def check_roundtrips(self, a):
+        self.roundtrip(a)
+        self.roundtrip(a, file_on_disk=True)
+        self.roundtrip(np.asfortranarray(a))
+        self.roundtrip(np.asfortranarray(a), file_on_disk=True)
+        if a.shape[0] > 1:
+            # neither C nor Fortran contiguous for 2D arrays or more
+            self.roundtrip(np.asfortranarray(a)[1:])
+            self.roundtrip(np.asfortranarray(a)[1:], file_on_disk=True)
+
+    def test_array(self):
+        a = np.array([], float)
+        self.check_roundtrips(a)
+
+        a = np.array([[1, 2], [3, 4]], float)
+        self.check_roundtrips(a)
+
+        a = np.array([[1, 2], [3, 4]], int)
+        self.check_roundtrips(a)
+
+        a = np.array([[1 + 5j, 2 + 6j], [3 + 7j, 4 + 8j]], dtype=np.csingle)
+        self.check_roundtrips(a)
+
+        a = np.array([[1 + 5j, 2 + 6j], [3 + 7j, 4 + 8j]], dtype=np.cdouble)
+        self.check_roundtrips(a)
+
+    def test_array_object(self):
+        a = np.array([], object)
+        self.check_roundtrips(a)
+
+        a = np.array([[1, 2], [3, 4]], object)
+        self.check_roundtrips(a)
+
+    def test_1D(self):
+        a = np.array([1, 2, 3, 4], int)
+        self.roundtrip(a)
+
+    @pytest.mark.skipif(sys.platform == 'win32', reason="Fails on Win32")
+    def test_mmap(self):
+        a = np.array([[1, 2.5], [4, 7.3]])
+        self.roundtrip(a, file_on_disk=True, load_kwds={'mmap_mode': 'r'})
+
+        a = np.asfortranarray([[1, 2.5], [4, 7.3]])
+        self.roundtrip(a, file_on_disk=True, load_kwds={'mmap_mode': 'r'})
+
+    def test_record(self):
+        a = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')])
+        self.check_roundtrips(a)
+
+    @pytest.mark.slow
+    def test_format_2_0(self):
+        dt = [(("%d" % i) * 100, float) for i in range(500)]
+        a = np.ones(1000, dtype=dt)
+        with warnings.catch_warnings(record=True):
+            warnings.filterwarnings('always', '', UserWarning)
+            self.check_roundtrips(a)
+
+
+class TestSaveLoad(RoundtripTest):
+    def roundtrip(self, *args, **kwargs):
+        RoundtripTest.roundtrip(self, np.save, *args, **kwargs)
+        assert_equal(self.arr[0], self.arr_reloaded)
+        assert_equal(self.arr[0].dtype, self.arr_reloaded.dtype)
+        assert_equal(self.arr[0].flags.fnc, self.arr_reloaded.flags.fnc)
+
+
+class TestSavezLoad(RoundtripTest):
+    def roundtrip(self, *args, **kwargs):
+        RoundtripTest.roundtrip(self, np.savez, *args, **kwargs)
+        try:
+            for n, arr in enumerate(self.arr):
+                reloaded = self.arr_reloaded['arr_%d' % n]
+                assert_equal(arr, reloaded)
+                assert_equal(arr.dtype, reloaded.dtype)
+                assert_equal(arr.flags.fnc, reloaded.flags.fnc)
+        finally:
+            # delete tempfile, must be done here on windows
+            if self.arr_reloaded.fid:
+                self.arr_reloaded.fid.close()
+                os.remove(self.arr_reloaded.fid.name)
+
+    @pytest.mark.skipif(IS_PYPY, reason="Hangs on PyPy")
+    @pytest.mark.skipif(not IS_64BIT, reason="Needs 64bit platform")
+    @pytest.mark.slow
+    def test_big_arrays(self):
+        L = (1 << 31) + 100000
+        a = np.empty(L, dtype=np.uint8)
+        with temppath(prefix="numpy_test_big_arrays_", suffix=".npz") as tmp:
+            np.savez(tmp, a=a)
+            del a
+            npfile = np.load(tmp)
+            a = npfile['a']  # Should succeed
+            npfile.close()
+            del a  # Avoid pyflakes unused variable warning.
+
+    def test_multiple_arrays(self):
+        a = np.array([[1, 2], [3, 4]], float)
+        b = np.array([[1 + 2j, 2 + 7j], [3 - 6j, 4 + 12j]], complex)
+        self.roundtrip(a, b)
+
+    def test_named_arrays(self):
+        a = np.array([[1, 2], [3, 4]], float)
+        b = np.array([[1 + 2j, 2 + 7j], [3 - 6j, 4 + 12j]], complex)
+        c = BytesIO()
+        np.savez(c, file_a=a, file_b=b)
+        c.seek(0)
+        l = np.load(c)
+        assert_equal(a, l['file_a'])
+        assert_equal(b, l['file_b'])
+
+
+    def test_tuple_getitem_raises(self):
+        # gh-23748
+        a = np.array([1, 2, 3])
+        f = BytesIO()
+        np.savez(f, a=a)
+        f.seek(0)
+        l = np.load(f)
+        with pytest.raises(KeyError, match="(1, 2)"):
+            l[1, 2]
+
+    def test_BagObj(self):
+        a = np.array([[1, 2], [3, 4]], float)
+        b = np.array([[1 + 2j, 2 + 7j], [3 - 6j, 4 + 12j]], complex)
+        c = BytesIO()
+        np.savez(c, file_a=a, file_b=b)
+        c.seek(0)
+        l = np.load(c)
+        assert_equal(sorted(dir(l.f)), ['file_a','file_b'])
+        assert_equal(a, l.f.file_a)
+        assert_equal(b, l.f.file_b)
+
+    @pytest.mark.skipif(IS_WASM, reason="Cannot start thread")
+    def test_savez_filename_clashes(self):
+        # Test that issue #852 is fixed
+        # and savez functions in multithreaded environment
+
+        def writer(error_list):
+            with temppath(suffix='.npz') as tmp:
+                arr = np.random.randn(500, 500)
+                try:
+                    np.savez(tmp, arr=arr)
+                except OSError as err:
+                    error_list.append(err)
+
+        errors = []
+        threads = [threading.Thread(target=writer, args=(errors,))
+                   for j in range(3)]
+        for t in threads:
+            t.start()
+        for t in threads:
+            t.join()
+
+        if errors:
+            raise AssertionError(errors)
+
+    def test_not_closing_opened_fid(self):
+        # Test that issue #2178 is fixed:
+        # verify could seek on 'loaded' file
+        with temppath(suffix='.npz') as tmp:
+            with open(tmp, 'wb') as fp:
+                np.savez(fp, data='LOVELY LOAD')
+            with open(tmp, 'rb', 10000) as fp:
+                fp.seek(0)
+                assert_(not fp.closed)
+                np.load(fp)['data']
+                # fp must not get closed by .load
+                assert_(not fp.closed)
+                fp.seek(0)
+                assert_(not fp.closed)
+
+    @pytest.mark.slow_pypy
+    def test_closing_fid(self):
+        # Test that issue #1517 (too many opened files) remains closed
+        # It might be a "weak" test since failed to get triggered on
+        # e.g. Debian sid of 2012 Jul 05 but was reported to
+        # trigger the failure on Ubuntu 10.04:
+        # http://projects.scipy.org/numpy/ticket/1517#comment:2
+        with temppath(suffix='.npz') as tmp:
+            np.savez(tmp, data='LOVELY LOAD')
+            # We need to check if the garbage collector can properly close
+            # numpy npz file returned by np.load when their reference count
+            # goes to zero.  Python 3 running in debug mode raises a
+            # ResourceWarning when file closing is left to the garbage
+            # collector, so we catch the warnings.
+            with suppress_warnings() as sup:
+                sup.filter(ResourceWarning)  # TODO: specify exact message
+                for i in range(1, 1025):
+                    try:
+                        np.load(tmp)["data"]
+                    except Exception as e:
+                        msg = "Failed to load data from a file: %s" % e
+                        raise AssertionError(msg)
+                    finally:
+                        if IS_PYPY:
+                            gc.collect()
+
+    def test_closing_zipfile_after_load(self):
+        # Check that zipfile owns file and can close it.  This needs to
+        # pass a file name to load for the test. On windows failure will
+        # cause a second error will be raised when the attempt to remove
+        # the open file is made.
+        prefix = 'numpy_test_closing_zipfile_after_load_'
+        with temppath(suffix='.npz', prefix=prefix) as tmp:
+            np.savez(tmp, lab='place holder')
+            data = np.load(tmp)
+            fp = data.zip.fp
+            data.close()
+            assert_(fp.closed)
+
+    @pytest.mark.parametrize("count, expected_repr", [
+        (1, "NpzFile {fname!r} with keys: arr_0"),
+        (5, "NpzFile {fname!r} with keys: arr_0, arr_1, arr_2, arr_3, arr_4"),
+        # _MAX_REPR_ARRAY_COUNT is 5, so files with more than 5 keys are
+        # expected to end in '...'
+        (6, "NpzFile {fname!r} with keys: arr_0, arr_1, arr_2, arr_3, arr_4..."),
+    ])
+    def test_repr_lists_keys(self, count, expected_repr):
+        a = np.array([[1, 2], [3, 4]], float)
+        with temppath(suffix='.npz') as tmp:
+            np.savez(tmp, *[a]*count)
+            l = np.load(tmp)
+            assert repr(l) == expected_repr.format(fname=tmp)
+            l.close()
+
+
+class TestSaveTxt:
+    def test_array(self):
+        a = np.array([[1, 2], [3, 4]], float)
+        fmt = "%.18e"
+        c = BytesIO()
+        np.savetxt(c, a, fmt=fmt)
+        c.seek(0)
+        assert_equal(c.readlines(),
+                     [asbytes((fmt + ' ' + fmt + '\n') % (1, 2)),
+                      asbytes((fmt + ' ' + fmt + '\n') % (3, 4))])
+
+        a = np.array([[1, 2], [3, 4]], int)
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%d')
+        c.seek(0)
+        assert_equal(c.readlines(), [b'1 2\n', b'3 4\n'])
+
+    def test_1D(self):
+        a = np.array([1, 2, 3, 4], int)
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%d')
+        c.seek(0)
+        lines = c.readlines()
+        assert_equal(lines, [b'1\n', b'2\n', b'3\n', b'4\n'])
+
+    def test_0D_3D(self):
+        c = BytesIO()
+        assert_raises(ValueError, np.savetxt, c, np.array(1))
+        assert_raises(ValueError, np.savetxt, c, np.array([[[1], [2]]]))
+
+    def test_structured(self):
+        a = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')])
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%d')
+        c.seek(0)
+        assert_equal(c.readlines(), [b'1 2\n', b'3 4\n'])
+
+    def test_structured_padded(self):
+        # gh-13297
+        a = np.array([(1, 2, 3),(4, 5, 6)], dtype=[
+            ('foo', 'i4'), ('bar', 'i4'), ('baz', 'i4')
+        ])
+        c = BytesIO()
+        np.savetxt(c, a[['foo', 'baz']], fmt='%d')
+        c.seek(0)
+        assert_equal(c.readlines(), [b'1 3\n', b'4 6\n'])
+
+    def test_multifield_view(self):
+        a = np.ones(1, dtype=[('x', 'i4'), ('y', 'i4'), ('z', 'f4')])
+        v = a[['x', 'z']]
+        with temppath(suffix='.npy') as path:
+            path = Path(path)
+            np.save(path, v)
+            data = np.load(path)
+            assert_array_equal(data, v)
+
+    def test_delimiter(self):
+        a = np.array([[1., 2.], [3., 4.]])
+        c = BytesIO()
+        np.savetxt(c, a, delimiter=',', fmt='%d')
+        c.seek(0)
+        assert_equal(c.readlines(), [b'1,2\n', b'3,4\n'])
+
+    def test_format(self):
+        a = np.array([(1, 2), (3, 4)])
+        c = BytesIO()
+        # Sequence of formats
+        np.savetxt(c, a, fmt=['%02d', '%3.1f'])
+        c.seek(0)
+        assert_equal(c.readlines(), [b'01 2.0\n', b'03 4.0\n'])
+
+        # A single multiformat string
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%02d : %3.1f')
+        c.seek(0)
+        lines = c.readlines()
+        assert_equal(lines, [b'01 : 2.0\n', b'03 : 4.0\n'])
+
+        # Specify delimiter, should be overridden
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%02d : %3.1f', delimiter=',')
+        c.seek(0)
+        lines = c.readlines()
+        assert_equal(lines, [b'01 : 2.0\n', b'03 : 4.0\n'])
+
+        # Bad fmt, should raise a ValueError
+        c = BytesIO()
+        assert_raises(ValueError, np.savetxt, c, a, fmt=99)
+
+    def test_header_footer(self):
+        # Test the functionality of the header and footer keyword argument.
+
+        c = BytesIO()
+        a = np.array([(1, 2), (3, 4)], dtype=int)
+        test_header_footer = 'Test header / footer'
+        # Test the header keyword argument
+        np.savetxt(c, a, fmt='%1d', header=test_header_footer)
+        c.seek(0)
+        assert_equal(c.read(),
+                     asbytes('# ' + test_header_footer + '\n1 2\n3 4\n'))
+        # Test the footer keyword argument
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%1d', footer=test_header_footer)
+        c.seek(0)
+        assert_equal(c.read(),
+                     asbytes('1 2\n3 4\n# ' + test_header_footer + '\n'))
+        # Test the commentstr keyword argument used on the header
+        c = BytesIO()
+        commentstr = '% '
+        np.savetxt(c, a, fmt='%1d',
+                   header=test_header_footer, comments=commentstr)
+        c.seek(0)
+        assert_equal(c.read(),
+                     asbytes(commentstr + test_header_footer + '\n' + '1 2\n3 4\n'))
+        # Test the commentstr keyword argument used on the footer
+        c = BytesIO()
+        commentstr = '% '
+        np.savetxt(c, a, fmt='%1d',
+                   footer=test_header_footer, comments=commentstr)
+        c.seek(0)
+        assert_equal(c.read(),
+                     asbytes('1 2\n3 4\n' + commentstr + test_header_footer + '\n'))
+
+    @pytest.mark.parametrize("filename_type", [Path, str])
+    def test_file_roundtrip(self, filename_type):
+        with temppath() as name:
+            a = np.array([(1, 2), (3, 4)])
+            np.savetxt(filename_type(name), a)
+            b = np.loadtxt(filename_type(name))
+            assert_array_equal(a, b)
+
+    def test_complex_arrays(self):
+        ncols = 2
+        nrows = 2
+        a = np.zeros((ncols, nrows), dtype=np.complex128)
+        re = np.pi
+        im = np.e
+        a[:] = re + 1.0j * im
+
+        # One format only
+        c = BytesIO()
+        np.savetxt(c, a, fmt=' %+.3e')
+        c.seek(0)
+        lines = c.readlines()
+        assert_equal(
+            lines,
+            [b' ( +3.142e+00+ +2.718e+00j)  ( +3.142e+00+ +2.718e+00j)\n',
+             b' ( +3.142e+00+ +2.718e+00j)  ( +3.142e+00+ +2.718e+00j)\n'])
+
+        # One format for each real and imaginary part
+        c = BytesIO()
+        np.savetxt(c, a, fmt='  %+.3e' * 2 * ncols)
+        c.seek(0)
+        lines = c.readlines()
+        assert_equal(
+            lines,
+            [b'  +3.142e+00  +2.718e+00  +3.142e+00  +2.718e+00\n',
+             b'  +3.142e+00  +2.718e+00  +3.142e+00  +2.718e+00\n'])
+
+        # One format for each complex number
+        c = BytesIO()
+        np.savetxt(c, a, fmt=['(%.3e%+.3ej)'] * ncols)
+        c.seek(0)
+        lines = c.readlines()
+        assert_equal(
+            lines,
+            [b'(3.142e+00+2.718e+00j) (3.142e+00+2.718e+00j)\n',
+             b'(3.142e+00+2.718e+00j) (3.142e+00+2.718e+00j)\n'])
+
+    def test_complex_negative_exponent(self):
+        # Previous to 1.15, some formats generated x+-yj, gh 7895
+        ncols = 2
+        nrows = 2
+        a = np.zeros((ncols, nrows), dtype=np.complex128)
+        re = np.pi
+        im = np.e
+        a[:] = re - 1.0j * im
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%.3e')
+        c.seek(0)
+        lines = c.readlines()
+        assert_equal(
+            lines,
+            [b' (3.142e+00-2.718e+00j)  (3.142e+00-2.718e+00j)\n',
+             b' (3.142e+00-2.718e+00j)  (3.142e+00-2.718e+00j)\n'])
+
+
+    def test_custom_writer(self):
+
+        class CustomWriter(list):
+            def write(self, text):
+                self.extend(text.split(b'\n'))
+
+        w = CustomWriter()
+        a = np.array([(1, 2), (3, 4)])
+        np.savetxt(w, a)
+        b = np.loadtxt(w)
+        assert_array_equal(a, b)
+
+    def test_unicode(self):
+        utf8 = b'\xcf\x96'.decode('UTF-8')
+        a = np.array([utf8], dtype=np.str_)
+        with tempdir() as tmpdir:
+            # set encoding as on windows it may not be unicode even on py3
+            np.savetxt(os.path.join(tmpdir, 'test.csv'), a, fmt=['%s'],
+                       encoding='UTF-8')
+
+    def test_unicode_roundtrip(self):
+        utf8 = b'\xcf\x96'.decode('UTF-8')
+        a = np.array([utf8], dtype=np.str_)
+        # our gz wrapper support encoding
+        suffixes = ['', '.gz']
+        if HAS_BZ2:
+            suffixes.append('.bz2')
+        if HAS_LZMA:
+            suffixes.extend(['.xz', '.lzma'])
+        with tempdir() as tmpdir:
+            for suffix in suffixes:
+                np.savetxt(os.path.join(tmpdir, 'test.csv' + suffix), a,
+                           fmt=['%s'], encoding='UTF-16-LE')
+                b = np.loadtxt(os.path.join(tmpdir, 'test.csv' + suffix),
+                               encoding='UTF-16-LE', dtype=np.str_)
+                assert_array_equal(a, b)
+
+    def test_unicode_bytestream(self):
+        utf8 = b'\xcf\x96'.decode('UTF-8')
+        a = np.array([utf8], dtype=np.str_)
+        s = BytesIO()
+        np.savetxt(s, a, fmt=['%s'], encoding='UTF-8')
+        s.seek(0)
+        assert_equal(s.read().decode('UTF-8'), utf8 + '\n')
+
+    def test_unicode_stringstream(self):
+        utf8 = b'\xcf\x96'.decode('UTF-8')
+        a = np.array([utf8], dtype=np.str_)
+        s = StringIO()
+        np.savetxt(s, a, fmt=['%s'], encoding='UTF-8')
+        s.seek(0)
+        assert_equal(s.read(), utf8 + '\n')
+
+    @pytest.mark.parametrize("iotype", [StringIO, BytesIO])
+    def test_unicode_and_bytes_fmt(self, iotype):
+        # string type of fmt should not matter, see also gh-4053
+        a = np.array([1.])
+        s = iotype()
+        np.savetxt(s, a, fmt="%f")
+        s.seek(0)
+        if iotype is StringIO:
+            assert_equal(s.read(), "%f\n" % 1.)
+        else:
+            assert_equal(s.read(), b"%f\n" % 1.)
+
+    @pytest.mark.skipif(sys.platform=='win32', reason="files>4GB may not work")
+    @pytest.mark.slow
+    @requires_memory(free_bytes=7e9)
+    def test_large_zip(self):
+        def check_large_zip(memoryerror_raised):
+            memoryerror_raised.value = False
+            try:
+                # The test takes at least 6GB of memory, writes a file larger
+                # than 4GB. This tests the ``allowZip64`` kwarg to ``zipfile``
+                test_data = np.asarray([np.random.rand(
+                                        np.random.randint(50,100),4)
+                                        for i in range(800000)], dtype=object)
+                with tempdir() as tmpdir:
+                    np.savez(os.path.join(tmpdir, 'test.npz'),
+                             test_data=test_data)
+            except MemoryError:
+                memoryerror_raised.value = True
+                raise
+        # run in a subprocess to ensure memory is released on PyPy, see gh-15775
+        # Use an object in shared memory to re-raise the MemoryError exception
+        # in our process if needed, see gh-16889
+        memoryerror_raised = Value(c_bool)
+
+        # Since Python 3.8, the default start method for multiprocessing has
+        # been changed from 'fork' to 'spawn' on macOS, causing inconsistency
+        # on memory sharing model, lead to failed test for check_large_zip
+        ctx = get_context('fork')
+        p = ctx.Process(target=check_large_zip, args=(memoryerror_raised,))
+        p.start()
+        p.join()
+        if memoryerror_raised.value:
+            raise MemoryError("Child process raised a MemoryError exception")
+        # -9 indicates a SIGKILL, probably an OOM.
+        if p.exitcode == -9:
+            pytest.xfail("subprocess got a SIGKILL, apparently free memory was not sufficient")
+        assert p.exitcode == 0
+
+class LoadTxtBase:
+    def check_compressed(self, fopen, suffixes):
+        # Test that we can load data from a compressed file
+        wanted = np.arange(6).reshape((2, 3))
+        linesep = ('\n', '\r\n', '\r')
+        for sep in linesep:
+            data = '0 1 2' + sep + '3 4 5'
+            for suffix in suffixes:
+                with temppath(suffix=suffix) as name:
+                    with fopen(name, mode='wt', encoding='UTF-32-LE') as f:
+                        f.write(data)
+                    res = self.loadfunc(name, encoding='UTF-32-LE')
+                    assert_array_equal(res, wanted)
+                    with fopen(name, "rt",  encoding='UTF-32-LE') as f:
+                        res = self.loadfunc(f)
+                    assert_array_equal(res, wanted)
+
+    def test_compressed_gzip(self):
+        self.check_compressed(gzip.open, ('.gz',))
+
+    @pytest.mark.skipif(not HAS_BZ2, reason="Needs bz2")
+    def test_compressed_bz2(self):
+        self.check_compressed(bz2.open, ('.bz2',))
+
+    @pytest.mark.skipif(not HAS_LZMA, reason="Needs lzma")
+    def test_compressed_lzma(self):
+        self.check_compressed(lzma.open, ('.xz', '.lzma'))
+
+    def test_encoding(self):
+        with temppath() as path:
+            with open(path, "wb") as f:
+                f.write('0.\n1.\n2.'.encode("UTF-16"))
+            x = self.loadfunc(path, encoding="UTF-16")
+            assert_array_equal(x, [0., 1., 2.])
+
+    def test_stringload(self):
+        # umlaute
+        nonascii = b'\xc3\xb6\xc3\xbc\xc3\xb6'.decode("UTF-8")
+        with temppath() as path:
+            with open(path, "wb") as f:
+                f.write(nonascii.encode("UTF-16"))
+            x = self.loadfunc(path, encoding="UTF-16", dtype=np.str_)
+            assert_array_equal(x, nonascii)
+
+    def test_binary_decode(self):
+        utf16 = b'\xff\xfeh\x04 \x00i\x04 \x00j\x04'
+        v = self.loadfunc(BytesIO(utf16), dtype=np.str_, encoding='UTF-16')
+        assert_array_equal(v, np.array(utf16.decode('UTF-16').split()))
+
+    def test_converters_decode(self):
+        # test converters that decode strings
+        c = TextIO()
+        c.write(b'\xcf\x96')
+        c.seek(0)
+        x = self.loadfunc(c, dtype=np.str_, encoding="bytes",
+                          converters={0: lambda x: x.decode('UTF-8')})
+        a = np.array([b'\xcf\x96'.decode('UTF-8')])
+        assert_array_equal(x, a)
+
+    def test_converters_nodecode(self):
+        # test native string converters enabled by setting an encoding
+        utf8 = b'\xcf\x96'.decode('UTF-8')
+        with temppath() as path:
+            with open(path, 'wt', encoding='UTF-8') as f:
+                f.write(utf8)
+            x = self.loadfunc(path, dtype=np.str_,
+                              converters={0: lambda x: x + 't'},
+                              encoding='UTF-8')
+            a = np.array([utf8 + 't'])
+            assert_array_equal(x, a)
+
+
+class TestLoadTxt(LoadTxtBase):
+    loadfunc = staticmethod(np.loadtxt)
+
+    def setup_method(self):
+        # lower chunksize for testing
+        self.orig_chunk = _npyio_impl._loadtxt_chunksize
+        _npyio_impl._loadtxt_chunksize = 1
+
+    def teardown_method(self):
+        _npyio_impl._loadtxt_chunksize = self.orig_chunk
+
+    def test_record(self):
+        c = TextIO()
+        c.write('1 2\n3 4')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=[('x', np.int32), ('y', np.int32)])
+        a = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')])
+        assert_array_equal(x, a)
+
+        d = TextIO()
+        d.write('M 64 75.0\nF 25 60.0')
+        d.seek(0)
+        mydescriptor = {'names': ('gender', 'age', 'weight'),
+                        'formats': ('S1', 'i4', 'f4')}
+        b = np.array([('M', 64.0, 75.0),
+                      ('F', 25.0, 60.0)], dtype=mydescriptor)
+        y = np.loadtxt(d, dtype=mydescriptor)
+        assert_array_equal(y, b)
+
+    def test_array(self):
+        c = TextIO()
+        c.write('1 2\n3 4')
+
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int)
+        a = np.array([[1, 2], [3, 4]], int)
+        assert_array_equal(x, a)
+
+        c.seek(0)
+        x = np.loadtxt(c, dtype=float)
+        a = np.array([[1, 2], [3, 4]], float)
+        assert_array_equal(x, a)
+
+    def test_1D(self):
+        c = TextIO()
+        c.write('1\n2\n3\n4\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int)
+        a = np.array([1, 2, 3, 4], int)
+        assert_array_equal(x, a)
+
+        c = TextIO()
+        c.write('1,2,3,4\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',')
+        a = np.array([1, 2, 3, 4], int)
+        assert_array_equal(x, a)
+
+    def test_missing(self):
+        c = TextIO()
+        c.write('1,2,3,,5\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       converters={3: lambda s: int(s or - 999)})
+        a = np.array([1, 2, 3, -999, 5], int)
+        assert_array_equal(x, a)
+
+    def test_converters_with_usecols(self):
+        c = TextIO()
+        c.write('1,2,3,,5\n6,7,8,9,10\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       converters={3: lambda s: int(s or - 999)},
+                       usecols=(1, 3,))
+        a = np.array([[2, -999], [7, 9]], int)
+        assert_array_equal(x, a)
+
+    def test_comments_unicode(self):
+        c = TextIO()
+        c.write('# comment\n1,2,3,5\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       comments='#')
+        a = np.array([1, 2, 3, 5], int)
+        assert_array_equal(x, a)
+
+    def test_comments_byte(self):
+        c = TextIO()
+        c.write('# comment\n1,2,3,5\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       comments=b'#')
+        a = np.array([1, 2, 3, 5], int)
+        assert_array_equal(x, a)
+
+    def test_comments_multiple(self):
+        c = TextIO()
+        c.write('# comment\n1,2,3\n@ comment2\n4,5,6 // comment3')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       comments=['#', '@', '//'])
+        a = np.array([[1, 2, 3], [4, 5, 6]], int)
+        assert_array_equal(x, a)
+
+    @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                        reason="PyPy bug in error formatting")
+    def test_comments_multi_chars(self):
+        c = TextIO()
+        c.write('/* comment\n1,2,3,5\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       comments='/*')
+        a = np.array([1, 2, 3, 5], int)
+        assert_array_equal(x, a)
+
+        # Check that '/*' is not transformed to ['/', '*']
+        c = TextIO()
+        c.write('*/ comment\n1,2,3,5\n')
+        c.seek(0)
+        assert_raises(ValueError, np.loadtxt, c, dtype=int, delimiter=',',
+                      comments='/*')
+
+    def test_skiprows(self):
+        c = TextIO()
+        c.write('comment\n1,2,3,5\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       skiprows=1)
+        a = np.array([1, 2, 3, 5], int)
+        assert_array_equal(x, a)
+
+        c = TextIO()
+        c.write('# comment\n1,2,3,5\n')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       skiprows=1)
+        a = np.array([1, 2, 3, 5], int)
+        assert_array_equal(x, a)
+
+    def test_usecols(self):
+        a = np.array([[1, 2], [3, 4]], float)
+        c = BytesIO()
+        np.savetxt(c, a)
+        c.seek(0)
+        x = np.loadtxt(c, dtype=float, usecols=(1,))
+        assert_array_equal(x, a[:, 1])
+
+        a = np.array([[1, 2, 3], [3, 4, 5]], float)
+        c = BytesIO()
+        np.savetxt(c, a)
+        c.seek(0)
+        x = np.loadtxt(c, dtype=float, usecols=(1, 2))
+        assert_array_equal(x, a[:, 1:])
+
+        # Testing with arrays instead of tuples.
+        c.seek(0)
+        x = np.loadtxt(c, dtype=float, usecols=np.array([1, 2]))
+        assert_array_equal(x, a[:, 1:])
+
+        # Testing with an integer instead of a sequence
+        for int_type in [int, np.int8, np.int16,
+                         np.int32, np.int64, np.uint8, np.uint16,
+                         np.uint32, np.uint64]:
+            to_read = int_type(1)
+            c.seek(0)
+            x = np.loadtxt(c, dtype=float, usecols=to_read)
+            assert_array_equal(x, a[:, 1])
+
+        # Testing with some crazy custom integer type
+        class CrazyInt:
+            def __index__(self):
+                return 1
+
+        crazy_int = CrazyInt()
+        c.seek(0)
+        x = np.loadtxt(c, dtype=float, usecols=crazy_int)
+        assert_array_equal(x, a[:, 1])
+
+        c.seek(0)
+        x = np.loadtxt(c, dtype=float, usecols=(crazy_int,))
+        assert_array_equal(x, a[:, 1])
+
+        # Checking with dtypes defined converters.
+        data = '''JOE 70.1 25.3
+                BOB 60.5 27.9
+                '''
+        c = TextIO(data)
+        names = ['stid', 'temp']
+        dtypes = ['S4', 'f8']
+        arr = np.loadtxt(c, usecols=(0, 2), dtype=list(zip(names, dtypes)))
+        assert_equal(arr['stid'], [b"JOE", b"BOB"])
+        assert_equal(arr['temp'], [25.3, 27.9])
+
+        # Testing non-ints in usecols
+        c.seek(0)
+        bogus_idx = 1.5
+        assert_raises_regex(
+            TypeError,
+            '^usecols must be.*%s' % type(bogus_idx).__name__,
+            np.loadtxt, c, usecols=bogus_idx
+            )
+
+        assert_raises_regex(
+            TypeError,
+            '^usecols must be.*%s' % type(bogus_idx).__name__,
+            np.loadtxt, c, usecols=[0, bogus_idx, 0]
+            )
+
+    def test_bad_usecols(self):
+        with pytest.raises(OverflowError):
+            np.loadtxt(["1\n"], usecols=[2**64], delimiter=",")
+        with pytest.raises((ValueError, OverflowError)):
+            # Overflow error on 32bit platforms
+            np.loadtxt(["1\n"], usecols=[2**62], delimiter=",")
+        with pytest.raises(TypeError,
+                match="If a structured dtype .*. But 1 usecols were given and "
+                      "the number of fields is 3."):
+            np.loadtxt(["1,1\n"], dtype="i,2i", usecols=[0], delimiter=",")
+
+    def test_fancy_dtype(self):
+        c = TextIO()
+        c.write('1,2,3.0\n4,5,6.0\n')
+        c.seek(0)
+        dt = np.dtype([('x', int), ('y', [('t', int), ('s', float)])])
+        x = np.loadtxt(c, dtype=dt, delimiter=',')
+        a = np.array([(1, (2, 3.0)), (4, (5, 6.0))], dt)
+        assert_array_equal(x, a)
+
+    def test_shaped_dtype(self):
+        c = TextIO("aaaa  1.0  8.0  1 2 3 4 5 6")
+        dt = np.dtype([('name', 'S4'), ('x', float), ('y', float),
+                       ('block', int, (2, 3))])
+        x = np.loadtxt(c, dtype=dt)
+        a = np.array([('aaaa', 1.0, 8.0, [[1, 2, 3], [4, 5, 6]])],
+                     dtype=dt)
+        assert_array_equal(x, a)
+
+    def test_3d_shaped_dtype(self):
+        c = TextIO("aaaa  1.0  8.0  1 2 3 4 5 6 7 8 9 10 11 12")
+        dt = np.dtype([('name', 'S4'), ('x', float), ('y', float),
+                       ('block', int, (2, 2, 3))])
+        x = np.loadtxt(c, dtype=dt)
+        a = np.array([('aaaa', 1.0, 8.0,
+                       [[[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]]])],
+                     dtype=dt)
+        assert_array_equal(x, a)
+
+    def test_str_dtype(self):
+        # see gh-8033
+        c = ["str1", "str2"]
+
+        for dt in (str, np.bytes_):
+            a = np.array(["str1", "str2"], dtype=dt)
+            x = np.loadtxt(c, dtype=dt)
+            assert_array_equal(x, a)
+
+    def test_empty_file(self):
+        with pytest.warns(UserWarning, match="input contained no data"):
+            c = TextIO()
+            x = np.loadtxt(c)
+            assert_equal(x.shape, (0,))
+            x = np.loadtxt(c, dtype=np.int64)
+            assert_equal(x.shape, (0,))
+            assert_(x.dtype == np.int64)
+
+    def test_unused_converter(self):
+        c = TextIO()
+        c.writelines(['1 21\n', '3 42\n'])
+        c.seek(0)
+        data = np.loadtxt(c, usecols=(1,),
+                          converters={0: lambda s: int(s, 16)})
+        assert_array_equal(data, [21, 42])
+
+        c.seek(0)
+        data = np.loadtxt(c, usecols=(1,),
+                          converters={1: lambda s: int(s, 16)})
+        assert_array_equal(data, [33, 66])
+
+    def test_dtype_with_object(self):
+        # Test using an explicit dtype with an object
+        data = """ 1; 2001-01-01
+                   2; 2002-01-31 """
+        ndtype = [('idx', int), ('code', object)]
+        func = lambda s: strptime(s.strip(), "%Y-%m-%d")
+        converters = {1: func}
+        test = np.loadtxt(TextIO(data), delimiter=";", dtype=ndtype,
+                          converters=converters)
+        control = np.array(
+            [(1, datetime(2001, 1, 1)), (2, datetime(2002, 1, 31))],
+            dtype=ndtype)
+        assert_equal(test, control)
+
+    def test_uint64_type(self):
+        tgt = (9223372043271415339, 9223372043271415853)
+        c = TextIO()
+        c.write("%s %s" % tgt)
+        c.seek(0)
+        res = np.loadtxt(c, dtype=np.uint64)
+        assert_equal(res, tgt)
+
+    def test_int64_type(self):
+        tgt = (-9223372036854775807, 9223372036854775807)
+        c = TextIO()
+        c.write("%s %s" % tgt)
+        c.seek(0)
+        res = np.loadtxt(c, dtype=np.int64)
+        assert_equal(res, tgt)
+
+    def test_from_float_hex(self):
+        # IEEE doubles and floats only, otherwise the float32
+        # conversion may fail.
+        tgt = np.logspace(-10, 10, 5).astype(np.float32)
+        tgt = np.hstack((tgt, -tgt)).astype(float)
+        inp = '\n'.join(map(float.hex, tgt))
+        c = TextIO()
+        c.write(inp)
+        for dt in [float, np.float32]:
+            c.seek(0)
+            res = np.loadtxt(
+                c, dtype=dt, converters=float.fromhex, encoding="latin1")
+            assert_equal(res, tgt, err_msg="%s" % dt)
+
+    @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                        reason="PyPy bug in error formatting")
+    def test_default_float_converter_no_default_hex_conversion(self):
+        """
+        Ensure that fromhex is only used for values with the correct prefix and
+        is not called by default. Regression test related to gh-19598.
+        """
+        c = TextIO("a b c")
+        with pytest.raises(ValueError,
+                match=".*convert string 'a' to float64 at row 0, column 1"):
+            np.loadtxt(c)
+
+    @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                        reason="PyPy bug in error formatting")
+    def test_default_float_converter_exception(self):
+        """
+        Ensure that the exception message raised during failed floating point
+        conversion is correct. Regression test related to gh-19598.
+        """
+        c = TextIO("qrs tuv")  # Invalid values for default float converter
+        with pytest.raises(ValueError,
+                match="could not convert string 'qrs' to float64"):
+            np.loadtxt(c)
+
+    def test_from_complex(self):
+        tgt = (complex(1, 1), complex(1, -1))
+        c = TextIO()
+        c.write("%s %s" % tgt)
+        c.seek(0)
+        res = np.loadtxt(c, dtype=complex)
+        assert_equal(res, tgt)
+
+    def test_complex_misformatted(self):
+        # test for backward compatibility
+        # some complex formats used to generate x+-yj
+        a = np.zeros((2, 2), dtype=np.complex128)
+        re = np.pi
+        im = np.e
+        a[:] = re - 1.0j * im
+        c = BytesIO()
+        np.savetxt(c, a, fmt='%.16e')
+        c.seek(0)
+        txt = c.read()
+        c.seek(0)
+        # misformat the sign on the imaginary part, gh 7895
+        txt_bad = txt.replace(b'e+00-', b'e00+-')
+        assert_(txt_bad != txt)
+        c.write(txt_bad)
+        c.seek(0)
+        res = np.loadtxt(c, dtype=complex)
+        assert_equal(res, a)
+
+    def test_universal_newline(self):
+        with temppath() as name:
+            with open(name, 'w') as f:
+                f.write('1 21\r3 42\r')
+            data = np.loadtxt(name)
+        assert_array_equal(data, [[1, 21], [3, 42]])
+
+    def test_empty_field_after_tab(self):
+        c = TextIO()
+        c.write('1 \t2 \t3\tstart \n4\t5\t6\t  \n7\t8\t9.5\t')
+        c.seek(0)
+        dt = {'names': ('x', 'y', 'z', 'comment'),
+              'formats': (' num rows
+        c = TextIO()
+        c.write('comment\n1,2,3,5\n4,5,7,8\n2,1,4,5')
+        c.seek(0)
+        x = np.loadtxt(c, dtype=int, delimiter=',',
+                       skiprows=1, max_rows=6)
+        a = np.array([[1, 2, 3, 5], [4, 5, 7, 8], [2, 1, 4, 5]], int)
+        assert_array_equal(x, a)
+
+    @pytest.mark.parametrize(["skip", "data"], [
+            (1, ["ignored\n", "1,2\n", "\n", "3,4\n"]),
+            # "Bad" lines that do not end in newlines:
+            (1, ["ignored", "1,2", "", "3,4"]),
+            (1, StringIO("ignored\n1,2\n\n3,4")),
+            # Same as above, but do not skip any lines:
+            (0, ["-1,0\n", "1,2\n", "\n", "3,4\n"]),
+            (0, ["-1,0", "1,2", "", "3,4"]),
+            (0, StringIO("-1,0\n1,2\n\n3,4"))])
+    def test_max_rows_empty_lines(self, skip, data):
+        with pytest.warns(UserWarning,
+                    match=f"Input line 3.*max_rows={3-skip}"):
+            res = np.loadtxt(data, dtype=int, skiprows=skip, delimiter=",",
+                             max_rows=3-skip)
+            assert_array_equal(res, [[-1, 0], [1, 2], [3, 4]][skip:])
+
+        if isinstance(data, StringIO):
+            data.seek(0)
+
+        with warnings.catch_warnings():
+            warnings.simplefilter("error", UserWarning)
+            with pytest.raises(UserWarning):
+                np.loadtxt(data, dtype=int, skiprows=skip, delimiter=",",
+                           max_rows=3-skip)
+
+class Testfromregex:
+    def test_record(self):
+        c = TextIO()
+        c.write('1.312 foo\n1.534 bar\n4.444 qux')
+        c.seek(0)
+
+        dt = [('num', np.float64), ('val', 'S3')]
+        x = np.fromregex(c, r"([0-9.]+)\s+(...)", dt)
+        a = np.array([(1.312, 'foo'), (1.534, 'bar'), (4.444, 'qux')],
+                     dtype=dt)
+        assert_array_equal(x, a)
+
+    def test_record_2(self):
+        c = TextIO()
+        c.write('1312 foo\n1534 bar\n4444 qux')
+        c.seek(0)
+
+        dt = [('num', np.int32), ('val', 'S3')]
+        x = np.fromregex(c, r"(\d+)\s+(...)", dt)
+        a = np.array([(1312, 'foo'), (1534, 'bar'), (4444, 'qux')],
+                     dtype=dt)
+        assert_array_equal(x, a)
+
+    def test_record_3(self):
+        c = TextIO()
+        c.write('1312 foo\n1534 bar\n4444 qux')
+        c.seek(0)
+
+        dt = [('num', np.float64)]
+        x = np.fromregex(c, r"(\d+)\s+...", dt)
+        a = np.array([(1312,), (1534,), (4444,)], dtype=dt)
+        assert_array_equal(x, a)
+
+    @pytest.mark.parametrize("path_type", [str, Path])
+    def test_record_unicode(self, path_type):
+        utf8 = b'\xcf\x96'
+        with temppath() as str_path:
+            path = path_type(str_path)
+            with open(path, 'wb') as f:
+                f.write(b'1.312 foo' + utf8 + b' \n1.534 bar\n4.444 qux')
+
+            dt = [('num', np.float64), ('val', 'U4')]
+            x = np.fromregex(path, r"(?u)([0-9.]+)\s+(\w+)", dt, encoding='UTF-8')
+            a = np.array([(1.312, 'foo' + utf8.decode('UTF-8')), (1.534, 'bar'),
+                           (4.444, 'qux')], dtype=dt)
+            assert_array_equal(x, a)
+
+            regexp = re.compile(r"([0-9.]+)\s+(\w+)", re.UNICODE)
+            x = np.fromregex(path, regexp, dt, encoding='UTF-8')
+            assert_array_equal(x, a)
+
+    def test_compiled_bytes(self):
+        regexp = re.compile(b'(\\d)')
+        c = BytesIO(b'123')
+        dt = [('num', np.float64)]
+        a = np.array([1, 2, 3], dtype=dt)
+        x = np.fromregex(c, regexp, dt)
+        assert_array_equal(x, a)
+
+    def test_bad_dtype_not_structured(self):
+        regexp = re.compile(b'(\\d)')
+        c = BytesIO(b'123')
+        with pytest.raises(TypeError, match='structured datatype'):
+            np.fromregex(c, regexp, dtype=np.float64)
+
+
+#####--------------------------------------------------------------------------
+
+
+class TestFromTxt(LoadTxtBase):
+    loadfunc = staticmethod(np.genfromtxt)
+
+    def test_record(self):
+        # Test w/ explicit dtype
+        data = TextIO('1 2\n3 4')
+        test = np.genfromtxt(data, dtype=[('x', np.int32), ('y', np.int32)])
+        control = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')])
+        assert_equal(test, control)
+        #
+        data = TextIO('M 64.0 75.0\nF 25.0 60.0')
+        descriptor = {'names': ('gender', 'age', 'weight'),
+                      'formats': ('S1', 'i4', 'f4')}
+        control = np.array([('M', 64.0, 75.0), ('F', 25.0, 60.0)],
+                           dtype=descriptor)
+        test = np.genfromtxt(data, dtype=descriptor)
+        assert_equal(test, control)
+
+    def test_array(self):
+        # Test outputting a standard ndarray
+        data = TextIO('1 2\n3 4')
+        control = np.array([[1, 2], [3, 4]], dtype=int)
+        test = np.genfromtxt(data, dtype=int)
+        assert_array_equal(test, control)
+        #
+        data.seek(0)
+        control = np.array([[1, 2], [3, 4]], dtype=float)
+        test = np.loadtxt(data, dtype=float)
+        assert_array_equal(test, control)
+
+    def test_1D(self):
+        # Test squeezing to 1D
+        control = np.array([1, 2, 3, 4], int)
+        #
+        data = TextIO('1\n2\n3\n4\n')
+        test = np.genfromtxt(data, dtype=int)
+        assert_array_equal(test, control)
+        #
+        data = TextIO('1,2,3,4\n')
+        test = np.genfromtxt(data, dtype=int, delimiter=',')
+        assert_array_equal(test, control)
+
+    def test_comments(self):
+        # Test the stripping of comments
+        control = np.array([1, 2, 3, 5], int)
+        # Comment on its own line
+        data = TextIO('# comment\n1,2,3,5\n')
+        test = np.genfromtxt(data, dtype=int, delimiter=',', comments='#')
+        assert_equal(test, control)
+        # Comment at the end of a line
+        data = TextIO('1,2,3,5# comment\n')
+        test = np.genfromtxt(data, dtype=int, delimiter=',', comments='#')
+        assert_equal(test, control)
+
+    def test_skiprows(self):
+        # Test row skipping
+        control = np.array([1, 2, 3, 5], int)
+        kwargs = dict(dtype=int, delimiter=',')
+        #
+        data = TextIO('comment\n1,2,3,5\n')
+        test = np.genfromtxt(data, skip_header=1, **kwargs)
+        assert_equal(test, control)
+        #
+        data = TextIO('# comment\n1,2,3,5\n')
+        test = np.loadtxt(data, skiprows=1, **kwargs)
+        assert_equal(test, control)
+
+    def test_skip_footer(self):
+        data = ["# %i" % i for i in range(1, 6)]
+        data.append("A, B, C")
+        data.extend(["%i,%3.1f,%03s" % (i, i, i) for i in range(51)])
+        data[-1] = "99,99"
+        kwargs = dict(delimiter=",", names=True, skip_header=5, skip_footer=10)
+        test = np.genfromtxt(TextIO("\n".join(data)), **kwargs)
+        ctrl = np.array([("%f" % i, "%f" % i, "%f" % i) for i in range(41)],
+                        dtype=[(_, float) for _ in "ABC"])
+        assert_equal(test, ctrl)
+
+    def test_skip_footer_with_invalid(self):
+        with suppress_warnings() as sup:
+            sup.filter(ConversionWarning)
+            basestr = '1 1\n2 2\n3 3\n4 4\n5  \n6  \n7  \n'
+            # Footer too small to get rid of all invalid values
+            assert_raises(ValueError, np.genfromtxt,
+                          TextIO(basestr), skip_footer=1)
+    #        except ValueError:
+    #            pass
+            a = np.genfromtxt(
+                TextIO(basestr), skip_footer=1, invalid_raise=False)
+            assert_equal(a, np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]]))
+            #
+            a = np.genfromtxt(TextIO(basestr), skip_footer=3)
+            assert_equal(a, np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]]))
+            #
+            basestr = '1 1\n2  \n3 3\n4 4\n5  \n6 6\n7 7\n'
+            a = np.genfromtxt(
+                TextIO(basestr), skip_footer=1, invalid_raise=False)
+            assert_equal(a, np.array([[1., 1.], [3., 3.], [4., 4.], [6., 6.]]))
+            a = np.genfromtxt(
+                TextIO(basestr), skip_footer=3, invalid_raise=False)
+            assert_equal(a, np.array([[1., 1.], [3., 3.], [4., 4.]]))
+
+    def test_header(self):
+        # Test retrieving a header
+        data = TextIO('gender age weight\nM 64.0 75.0\nF 25.0 60.0')
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(data, dtype=None, names=True,
+                                 encoding='bytes')
+            assert_(w[0].category is VisibleDeprecationWarning)
+        control = {'gender': np.array([b'M', b'F']),
+                   'age': np.array([64.0, 25.0]),
+                   'weight': np.array([75.0, 60.0])}
+        assert_equal(test['gender'], control['gender'])
+        assert_equal(test['age'], control['age'])
+        assert_equal(test['weight'], control['weight'])
+
+    def test_auto_dtype(self):
+        # Test the automatic definition of the output dtype
+        data = TextIO('A 64 75.0 3+4j True\nBCD 25 60.0 5+6j False')
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(data, dtype=None, encoding='bytes')
+            assert_(w[0].category is VisibleDeprecationWarning)
+        control = [np.array([b'A', b'BCD']),
+                   np.array([64, 25]),
+                   np.array([75.0, 60.0]),
+                   np.array([3 + 4j, 5 + 6j]),
+                   np.array([True, False]), ]
+        assert_equal(test.dtype.names, ['f0', 'f1', 'f2', 'f3', 'f4'])
+        for (i, ctrl) in enumerate(control):
+            assert_equal(test['f%i' % i], ctrl)
+
+    def test_auto_dtype_uniform(self):
+        # Tests whether the output dtype can be uniformized
+        data = TextIO('1 2 3 4\n5 6 7 8\n')
+        test = np.genfromtxt(data, dtype=None)
+        control = np.array([[1, 2, 3, 4], [5, 6, 7, 8]])
+        assert_equal(test, control)
+
+    def test_fancy_dtype(self):
+        # Check that a nested dtype isn't MIA
+        data = TextIO('1,2,3.0\n4,5,6.0\n')
+        fancydtype = np.dtype([('x', int), ('y', [('t', int), ('s', float)])])
+        test = np.genfromtxt(data, dtype=fancydtype, delimiter=',')
+        control = np.array([(1, (2, 3.0)), (4, (5, 6.0))], dtype=fancydtype)
+        assert_equal(test, control)
+
+    def test_names_overwrite(self):
+        # Test overwriting the names of the dtype
+        descriptor = {'names': ('g', 'a', 'w'),
+                      'formats': ('S1', 'i4', 'f4')}
+        data = TextIO(b'M 64.0 75.0\nF 25.0 60.0')
+        names = ('gender', 'age', 'weight')
+        test = np.genfromtxt(data, dtype=descriptor, names=names)
+        descriptor['names'] = names
+        control = np.array([('M', 64.0, 75.0),
+                            ('F', 25.0, 60.0)], dtype=descriptor)
+        assert_equal(test, control)
+
+    def test_bad_fname(self):
+        with pytest.raises(TypeError, match='fname must be a string,'):
+            np.genfromtxt(123)
+
+    def test_commented_header(self):
+        # Check that names can be retrieved even if the line is commented out.
+        data = TextIO("""
+#gender age weight
+M   21  72.100000
+F   35  58.330000
+M   33  21.99
+        """)
+        # The # is part of the first name and should be deleted automatically.
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(data, names=True, dtype=None,
+                                 encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        ctrl = np.array([('M', 21, 72.1), ('F', 35, 58.33), ('M', 33, 21.99)],
+                        dtype=[('gender', '|S1'), ('age', int), ('weight', float)])
+        assert_equal(test, ctrl)
+        # Ditto, but we should get rid of the first element
+        data = TextIO(b"""
+# gender age weight
+M   21  72.100000
+F   35  58.330000
+M   33  21.99
+        """)
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(data, names=True, dtype=None,
+                                 encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        assert_equal(test, ctrl)
+
+    def test_names_and_comments_none(self):
+        # Tests case when names is true but comments is None (gh-10780)
+        data = TextIO('col1 col2\n 1 2\n 3 4')
+        test = np.genfromtxt(data, dtype=(int, int), comments=None, names=True)
+        control = np.array([(1, 2), (3, 4)], dtype=[('col1', int), ('col2', int)])
+        assert_equal(test, control)
+
+    def test_file_is_closed_on_error(self):
+        # gh-13200
+        with tempdir() as tmpdir:
+            fpath = os.path.join(tmpdir, "test.csv")
+            with open(fpath, "wb") as f:
+                f.write('\N{GREEK PI SYMBOL}'.encode())
+
+            # ResourceWarnings are emitted from a destructor, so won't be
+            # detected by regular propagation to errors.
+            with assert_no_warnings():
+                with pytest.raises(UnicodeDecodeError):
+                    np.genfromtxt(fpath, encoding="ascii")
+
+    def test_autonames_and_usecols(self):
+        # Tests names and usecols
+        data = TextIO('A B C D\n aaaa 121 45 9.1')
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(data, usecols=('A', 'C', 'D'),
+                                names=True, dtype=None, encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        control = np.array(('aaaa', 45, 9.1),
+                           dtype=[('A', '|S4'), ('C', int), ('D', float)])
+        assert_equal(test, control)
+
+    def test_converters_with_usecols(self):
+        # Test the combination user-defined converters and usecol
+        data = TextIO('1,2,3,,5\n6,7,8,9,10\n')
+        test = np.genfromtxt(data, dtype=int, delimiter=',',
+                            converters={3: lambda s: int(s or - 999)},
+                            usecols=(1, 3,))
+        control = np.array([[2, -999], [7, 9]], int)
+        assert_equal(test, control)
+
+    def test_converters_with_usecols_and_names(self):
+        # Tests names and usecols
+        data = TextIO('A B C D\n aaaa 121 45 9.1')
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(data, usecols=('A', 'C', 'D'), names=True,
+                                dtype=None, encoding="bytes",
+                                converters={'C': lambda s: 2 * int(s)})
+            assert_(w[0].category is VisibleDeprecationWarning)
+        control = np.array(('aaaa', 90, 9.1),
+                           dtype=[('A', '|S4'), ('C', int), ('D', float)])
+        assert_equal(test, control)
+
+    def test_converters_cornercases(self):
+        # Test the conversion to datetime.
+        converter = {
+            'date': lambda s: strptime(s, '%Y-%m-%d %H:%M:%SZ')}
+        data = TextIO('2009-02-03 12:00:00Z, 72214.0')
+        test = np.genfromtxt(data, delimiter=',', dtype=None,
+                            names=['date', 'stid'], converters=converter)
+        control = np.array((datetime(2009, 2, 3), 72214.),
+                           dtype=[('date', np.object_), ('stid', float)])
+        assert_equal(test, control)
+
+    def test_converters_cornercases2(self):
+        # Test the conversion to datetime64.
+        converter = {
+            'date': lambda s: np.datetime64(strptime(s, '%Y-%m-%d %H:%M:%SZ'))}
+        data = TextIO('2009-02-03 12:00:00Z, 72214.0')
+        test = np.genfromtxt(data, delimiter=',', dtype=None,
+                            names=['date', 'stid'], converters=converter)
+        control = np.array((datetime(2009, 2, 3), 72214.),
+                           dtype=[('date', 'datetime64[us]'), ('stid', float)])
+        assert_equal(test, control)
+
+    def test_unused_converter(self):
+        # Test whether unused converters are forgotten
+        data = TextIO("1 21\n  3 42\n")
+        test = np.genfromtxt(data, usecols=(1,),
+                            converters={0: lambda s: int(s, 16)})
+        assert_equal(test, [21, 42])
+        #
+        data.seek(0)
+        test = np.genfromtxt(data, usecols=(1,),
+                            converters={1: lambda s: int(s, 16)})
+        assert_equal(test, [33, 66])
+
+    def test_invalid_converter(self):
+        strip_rand = lambda x: float((b'r' in x.lower() and x.split()[-1]) or
+                                     (b'r' not in x.lower() and x.strip() or 0.0))
+        strip_per = lambda x: float((b'%' in x.lower() and x.split()[0]) or
+                                    (b'%' not in x.lower() and x.strip() or 0.0))
+        s = TextIO("D01N01,10/1/2003 ,1 %,R 75,400,600\r\n"
+                   "L24U05,12/5/2003, 2 %,1,300, 150.5\r\n"
+                   "D02N03,10/10/2004,R 1,,7,145.55")
+        kwargs = dict(
+            converters={2: strip_per, 3: strip_rand}, delimiter=",",
+            dtype=None, encoding="bytes")
+        assert_raises(ConverterError, np.genfromtxt, s, **kwargs)
+
+    def test_tricky_converter_bug1666(self):
+        # Test some corner cases
+        s = TextIO('q1,2\nq3,4')
+        cnv = lambda s: float(s[1:])
+        test = np.genfromtxt(s, delimiter=',', converters={0: cnv})
+        control = np.array([[1., 2.], [3., 4.]])
+        assert_equal(test, control)
+
+    def test_dtype_with_converters(self):
+        dstr = "2009; 23; 46"
+        test = np.genfromtxt(TextIO(dstr,),
+                            delimiter=";", dtype=float, converters={0: bytes})
+        control = np.array([('2009', 23., 46)],
+                           dtype=[('f0', '|S4'), ('f1', float), ('f2', float)])
+        assert_equal(test, control)
+        test = np.genfromtxt(TextIO(dstr,),
+                            delimiter=";", dtype=float, converters={0: float})
+        control = np.array([2009., 23., 46],)
+        assert_equal(test, control)
+
+    @pytest.mark.filterwarnings("ignore:.*recfromcsv.*:DeprecationWarning")
+    def test_dtype_with_converters_and_usecols(self):
+        dstr = "1,5,-1,1:1\n2,8,-1,1:n\n3,3,-2,m:n\n"
+        dmap = {'1:1':0, '1:n':1, 'm:1':2, 'm:n':3}
+        dtyp = [('e1','i4'),('e2','i4'),('e3','i2'),('n', 'i1')]
+        conv = {0: int, 1: int, 2: int, 3: lambda r: dmap[r.decode()]}
+        test = recfromcsv(TextIO(dstr,), dtype=dtyp, delimiter=',',
+                          names=None, converters=conv, encoding="bytes")
+        control = np.rec.array([(1,5,-1,0), (2,8,-1,1), (3,3,-2,3)], dtype=dtyp)
+        assert_equal(test, control)
+        dtyp = [('e1', 'i4'), ('e2', 'i4'), ('n', 'i1')]
+        test = recfromcsv(TextIO(dstr,), dtype=dtyp, delimiter=',',
+                          usecols=(0, 1, 3), names=None, converters=conv,
+                          encoding="bytes")
+        control = np.rec.array([(1,5,0), (2,8,1), (3,3,3)], dtype=dtyp)
+        assert_equal(test, control)
+
+    def test_dtype_with_object(self):
+        # Test using an explicit dtype with an object
+        data = """ 1; 2001-01-01
+                   2; 2002-01-31 """
+        ndtype = [('idx', int), ('code', object)]
+        func = lambda s: strptime(s.strip(), "%Y-%m-%d")
+        converters = {1: func}
+        test = np.genfromtxt(TextIO(data), delimiter=";", dtype=ndtype,
+                             converters=converters)
+        control = np.array(
+            [(1, datetime(2001, 1, 1)), (2, datetime(2002, 1, 31))],
+            dtype=ndtype)
+        assert_equal(test, control)
+
+        ndtype = [('nest', [('idx', int), ('code', object)])]
+        with assert_raises_regex(NotImplementedError,
+                                 'Nested fields.* not supported.*'):
+            test = np.genfromtxt(TextIO(data), delimiter=";",
+                                 dtype=ndtype, converters=converters)
+
+        # nested but empty fields also aren't supported
+        ndtype = [('idx', int), ('code', object), ('nest', [])]
+        with assert_raises_regex(NotImplementedError,
+                                 'Nested fields.* not supported.*'):
+            test = np.genfromtxt(TextIO(data), delimiter=";",
+                                 dtype=ndtype, converters=converters)
+
+    def test_dtype_with_object_no_converter(self):
+        # Object without a converter uses bytes:
+        parsed = np.genfromtxt(TextIO("1"), dtype=object)
+        assert parsed[()] == b"1"
+        parsed = np.genfromtxt(TextIO("string"), dtype=object)
+        assert parsed[()] == b"string"
+
+    def test_userconverters_with_explicit_dtype(self):
+        # Test user_converters w/ explicit (standard) dtype
+        data = TextIO('skip,skip,2001-01-01,1.0,skip')
+        test = np.genfromtxt(data, delimiter=",", names=None, dtype=float,
+                             usecols=(2, 3), converters={2: bytes})
+        control = np.array([('2001-01-01', 1.)],
+                           dtype=[('', '|S10'), ('', float)])
+        assert_equal(test, control)
+
+    def test_utf8_userconverters_with_explicit_dtype(self):
+        utf8 = b'\xcf\x96'
+        with temppath() as path:
+            with open(path, 'wb') as f:
+                f.write(b'skip,skip,2001-01-01' + utf8 + b',1.0,skip')
+            test = np.genfromtxt(path, delimiter=",", names=None, dtype=float,
+                                 usecols=(2, 3), converters={2: str},
+                                 encoding='UTF-8')
+        control = np.array([('2001-01-01' + utf8.decode('UTF-8'), 1.)],
+                           dtype=[('', '|U11'), ('', float)])
+        assert_equal(test, control)
+
+    def test_spacedelimiter(self):
+        # Test space delimiter
+        data = TextIO("1  2  3  4   5\n6  7  8  9  10")
+        test = np.genfromtxt(data)
+        control = np.array([[1., 2., 3., 4., 5.],
+                            [6., 7., 8., 9., 10.]])
+        assert_equal(test, control)
+
+    def test_integer_delimiter(self):
+        # Test using an integer for delimiter
+        data = "  1  2  3\n  4  5 67\n890123  4"
+        test = np.genfromtxt(TextIO(data), delimiter=3)
+        control = np.array([[1, 2, 3], [4, 5, 67], [890, 123, 4]])
+        assert_equal(test, control)
+
+    def test_missing(self):
+        data = TextIO('1,2,3,,5\n')
+        test = np.genfromtxt(data, dtype=int, delimiter=',',
+                            converters={3: lambda s: int(s or - 999)})
+        control = np.array([1, 2, 3, -999, 5], int)
+        assert_equal(test, control)
+
+    def test_missing_with_tabs(self):
+        # Test w/ a delimiter tab
+        txt = "1\t2\t3\n\t2\t\n1\t\t3"
+        test = np.genfromtxt(TextIO(txt), delimiter="\t",
+                             usemask=True,)
+        ctrl_d = np.array([(1, 2, 3), (np.nan, 2, np.nan), (1, np.nan, 3)],)
+        ctrl_m = np.array([(0, 0, 0), (1, 0, 1), (0, 1, 0)], dtype=bool)
+        assert_equal(test.data, ctrl_d)
+        assert_equal(test.mask, ctrl_m)
+
+    def test_usecols(self):
+        # Test the selection of columns
+        # Select 1 column
+        control = np.array([[1, 2], [3, 4]], float)
+        data = TextIO()
+        np.savetxt(data, control)
+        data.seek(0)
+        test = np.genfromtxt(data, dtype=float, usecols=(1,))
+        assert_equal(test, control[:, 1])
+        #
+        control = np.array([[1, 2, 3], [3, 4, 5]], float)
+        data = TextIO()
+        np.savetxt(data, control)
+        data.seek(0)
+        test = np.genfromtxt(data, dtype=float, usecols=(1, 2))
+        assert_equal(test, control[:, 1:])
+        # Testing with arrays instead of tuples.
+        data.seek(0)
+        test = np.genfromtxt(data, dtype=float, usecols=np.array([1, 2]))
+        assert_equal(test, control[:, 1:])
+
+    def test_usecols_as_css(self):
+        # Test giving usecols with a comma-separated string
+        data = "1 2 3\n4 5 6"
+        test = np.genfromtxt(TextIO(data),
+                             names="a, b, c", usecols="a, c")
+        ctrl = np.array([(1, 3), (4, 6)], dtype=[(_, float) for _ in "ac"])
+        assert_equal(test, ctrl)
+
+    def test_usecols_with_structured_dtype(self):
+        # Test usecols with an explicit structured dtype
+        data = TextIO("JOE 70.1 25.3\nBOB 60.5 27.9")
+        names = ['stid', 'temp']
+        dtypes = ['S4', 'f8']
+        test = np.genfromtxt(
+            data, usecols=(0, 2), dtype=list(zip(names, dtypes)))
+        assert_equal(test['stid'], [b"JOE", b"BOB"])
+        assert_equal(test['temp'], [25.3, 27.9])
+
+    def test_usecols_with_integer(self):
+        # Test usecols with an integer
+        test = np.genfromtxt(TextIO(b"1 2 3\n4 5 6"), usecols=0)
+        assert_equal(test, np.array([1., 4.]))
+
+    def test_usecols_with_named_columns(self):
+        # Test usecols with named columns
+        ctrl = np.array([(1, 3), (4, 6)], dtype=[('a', float), ('c', float)])
+        data = "1 2 3\n4 5 6"
+        kwargs = dict(names="a, b, c")
+        test = np.genfromtxt(TextIO(data), usecols=(0, -1), **kwargs)
+        assert_equal(test, ctrl)
+        test = np.genfromtxt(TextIO(data),
+                             usecols=('a', 'c'), **kwargs)
+        assert_equal(test, ctrl)
+
+    def test_empty_file(self):
+        # Test that an empty file raises the proper warning.
+        with suppress_warnings() as sup:
+            sup.filter(message="genfromtxt: Empty input file:")
+            data = TextIO()
+            test = np.genfromtxt(data)
+            assert_equal(test, np.array([]))
+
+            # when skip_header > 0
+            test = np.genfromtxt(data, skip_header=1)
+            assert_equal(test, np.array([]))
+
+    def test_fancy_dtype_alt(self):
+        # Check that a nested dtype isn't MIA
+        data = TextIO('1,2,3.0\n4,5,6.0\n')
+        fancydtype = np.dtype([('x', int), ('y', [('t', int), ('s', float)])])
+        test = np.genfromtxt(data, dtype=fancydtype, delimiter=',', usemask=True)
+        control = ma.array([(1, (2, 3.0)), (4, (5, 6.0))], dtype=fancydtype)
+        assert_equal(test, control)
+
+    def test_shaped_dtype(self):
+        c = TextIO("aaaa  1.0  8.0  1 2 3 4 5 6")
+        dt = np.dtype([('name', 'S4'), ('x', float), ('y', float),
+                       ('block', int, (2, 3))])
+        x = np.genfromtxt(c, dtype=dt)
+        a = np.array([('aaaa', 1.0, 8.0, [[1, 2, 3], [4, 5, 6]])],
+                     dtype=dt)
+        assert_array_equal(x, a)
+
+    def test_withmissing(self):
+        data = TextIO('A,B\n0,1\n2,N/A')
+        kwargs = dict(delimiter=",", missing_values="N/A", names=True)
+        test = np.genfromtxt(data, dtype=None, usemask=True, **kwargs)
+        control = ma.array([(0, 1), (2, -1)],
+                           mask=[(False, False), (False, True)],
+                           dtype=[('A', int), ('B', int)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+        #
+        data.seek(0)
+        test = np.genfromtxt(data, usemask=True, **kwargs)
+        control = ma.array([(0, 1), (2, -1)],
+                           mask=[(False, False), (False, True)],
+                           dtype=[('A', float), ('B', float)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+    def test_user_missing_values(self):
+        data = "A, B, C\n0, 0., 0j\n1, N/A, 1j\n-9, 2.2, N/A\n3, -99, 3j"
+        basekwargs = dict(dtype=None, delimiter=",", names=True,)
+        mdtype = [('A', int), ('B', float), ('C', complex)]
+        #
+        test = np.genfromtxt(TextIO(data), missing_values="N/A",
+                            **basekwargs)
+        control = ma.array([(0, 0.0, 0j), (1, -999, 1j),
+                            (-9, 2.2, -999j), (3, -99, 3j)],
+                           mask=[(0, 0, 0), (0, 1, 0), (0, 0, 1), (0, 0, 0)],
+                           dtype=mdtype)
+        assert_equal(test, control)
+        #
+        basekwargs['dtype'] = mdtype
+        test = np.genfromtxt(TextIO(data),
+                            missing_values={0: -9, 1: -99, 2: -999j}, usemask=True, **basekwargs)
+        control = ma.array([(0, 0.0, 0j), (1, -999, 1j),
+                            (-9, 2.2, -999j), (3, -99, 3j)],
+                           mask=[(0, 0, 0), (0, 1, 0), (1, 0, 1), (0, 1, 0)],
+                           dtype=mdtype)
+        assert_equal(test, control)
+        #
+        test = np.genfromtxt(TextIO(data),
+                            missing_values={0: -9, 'B': -99, 'C': -999j},
+                            usemask=True,
+                            **basekwargs)
+        control = ma.array([(0, 0.0, 0j), (1, -999, 1j),
+                            (-9, 2.2, -999j), (3, -99, 3j)],
+                           mask=[(0, 0, 0), (0, 1, 0), (1, 0, 1), (0, 1, 0)],
+                           dtype=mdtype)
+        assert_equal(test, control)
+
+    def test_user_filling_values(self):
+        # Test with missing and filling values
+        ctrl = np.array([(0, 3), (4, -999)], dtype=[('a', int), ('b', int)])
+        data = "N/A, 2, 3\n4, ,???"
+        kwargs = dict(delimiter=",",
+                      dtype=int,
+                      names="a,b,c",
+                      missing_values={0: "N/A", 'b': " ", 2: "???"},
+                      filling_values={0: 0, 'b': 0, 2: -999})
+        test = np.genfromtxt(TextIO(data), **kwargs)
+        ctrl = np.array([(0, 2, 3), (4, 0, -999)],
+                        dtype=[(_, int) for _ in "abc"])
+        assert_equal(test, ctrl)
+        #
+        test = np.genfromtxt(TextIO(data), usecols=(0, -1), **kwargs)
+        ctrl = np.array([(0, 3), (4, -999)], dtype=[(_, int) for _ in "ac"])
+        assert_equal(test, ctrl)
+
+        data2 = "1,2,*,4\n5,*,7,8\n"
+        test = np.genfromtxt(TextIO(data2), delimiter=',', dtype=int,
+                             missing_values="*", filling_values=0)
+        ctrl = np.array([[1, 2, 0, 4], [5, 0, 7, 8]])
+        assert_equal(test, ctrl)
+        test = np.genfromtxt(TextIO(data2), delimiter=',', dtype=int,
+                             missing_values="*", filling_values=-1)
+        ctrl = np.array([[1, 2, -1, 4], [5, -1, 7, 8]])
+        assert_equal(test, ctrl)
+
+    def test_withmissing_float(self):
+        data = TextIO('A,B\n0,1.5\n2,-999.00')
+        test = np.genfromtxt(data, dtype=None, delimiter=',',
+                            missing_values='-999.0', names=True, usemask=True)
+        control = ma.array([(0, 1.5), (2, -1.)],
+                           mask=[(False, False), (False, True)],
+                           dtype=[('A', int), ('B', float)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+    def test_with_masked_column_uniform(self):
+        # Test masked column
+        data = TextIO('1 2 3\n4 5 6\n')
+        test = np.genfromtxt(data, dtype=None,
+                             missing_values='2,5', usemask=True)
+        control = ma.array([[1, 2, 3], [4, 5, 6]], mask=[[0, 1, 0], [0, 1, 0]])
+        assert_equal(test, control)
+
+    def test_with_masked_column_various(self):
+        # Test masked column
+        data = TextIO('True 2 3\nFalse 5 6\n')
+        test = np.genfromtxt(data, dtype=None,
+                             missing_values='2,5', usemask=True)
+        control = ma.array([(1, 2, 3), (0, 5, 6)],
+                           mask=[(0, 1, 0), (0, 1, 0)],
+                           dtype=[('f0', bool), ('f1', bool), ('f2', int)])
+        assert_equal(test, control)
+
+    def test_invalid_raise(self):
+        # Test invalid raise
+        data = ["1, 1, 1, 1, 1"] * 50
+        for i in range(5):
+            data[10 * i] = "2, 2, 2, 2 2"
+        data.insert(0, "a, b, c, d, e")
+        mdata = TextIO("\n".join(data))
+
+        kwargs = dict(delimiter=",", dtype=None, names=True)
+        def f():
+            return np.genfromtxt(mdata, invalid_raise=False, **kwargs)
+        mtest = assert_warns(ConversionWarning, f)
+        assert_equal(len(mtest), 45)
+        assert_equal(mtest, np.ones(45, dtype=[(_, int) for _ in 'abcde']))
+        #
+        mdata.seek(0)
+        assert_raises(ValueError, np.genfromtxt, mdata,
+                      delimiter=",", names=True)
+
+    def test_invalid_raise_with_usecols(self):
+        # Test invalid_raise with usecols
+        data = ["1, 1, 1, 1, 1"] * 50
+        for i in range(5):
+            data[10 * i] = "2, 2, 2, 2 2"
+        data.insert(0, "a, b, c, d, e")
+        mdata = TextIO("\n".join(data))
+
+        kwargs = dict(delimiter=",", dtype=None, names=True,
+                      invalid_raise=False)
+        def f():
+            return np.genfromtxt(mdata, usecols=(0, 4), **kwargs)
+        mtest = assert_warns(ConversionWarning, f)
+        assert_equal(len(mtest), 45)
+        assert_equal(mtest, np.ones(45, dtype=[(_, int) for _ in 'ae']))
+        #
+        mdata.seek(0)
+        mtest = np.genfromtxt(mdata, usecols=(0, 1), **kwargs)
+        assert_equal(len(mtest), 50)
+        control = np.ones(50, dtype=[(_, int) for _ in 'ab'])
+        control[[10 * _ for _ in range(5)]] = (2, 2)
+        assert_equal(mtest, control)
+
+    def test_inconsistent_dtype(self):
+        # Test inconsistent dtype
+        data = ["1, 1, 1, 1, -1.1"] * 50
+        mdata = TextIO("\n".join(data))
+
+        converters = {4: lambda x: "(%s)" % x.decode()}
+        kwargs = dict(delimiter=",", converters=converters,
+                      dtype=[(_, int) for _ in 'abcde'], encoding="bytes")
+        assert_raises(ValueError, np.genfromtxt, mdata, **kwargs)
+
+    def test_default_field_format(self):
+        # Test default format
+        data = "0, 1, 2.3\n4, 5, 6.7"
+        mtest = np.genfromtxt(TextIO(data),
+                             delimiter=",", dtype=None, defaultfmt="f%02i")
+        ctrl = np.array([(0, 1, 2.3), (4, 5, 6.7)],
+                        dtype=[("f00", int), ("f01", int), ("f02", float)])
+        assert_equal(mtest, ctrl)
+
+    def test_single_dtype_wo_names(self):
+        # Test single dtype w/o names
+        data = "0, 1, 2.3\n4, 5, 6.7"
+        mtest = np.genfromtxt(TextIO(data),
+                             delimiter=",", dtype=float, defaultfmt="f%02i")
+        ctrl = np.array([[0., 1., 2.3], [4., 5., 6.7]], dtype=float)
+        assert_equal(mtest, ctrl)
+
+    def test_single_dtype_w_explicit_names(self):
+        # Test single dtype w explicit names
+        data = "0, 1, 2.3\n4, 5, 6.7"
+        mtest = np.genfromtxt(TextIO(data),
+                             delimiter=",", dtype=float, names="a, b, c")
+        ctrl = np.array([(0., 1., 2.3), (4., 5., 6.7)],
+                        dtype=[(_, float) for _ in "abc"])
+        assert_equal(mtest, ctrl)
+
+    def test_single_dtype_w_implicit_names(self):
+        # Test single dtype w implicit names
+        data = "a, b, c\n0, 1, 2.3\n4, 5, 6.7"
+        mtest = np.genfromtxt(TextIO(data),
+                             delimiter=",", dtype=float, names=True)
+        ctrl = np.array([(0., 1., 2.3), (4., 5., 6.7)],
+                        dtype=[(_, float) for _ in "abc"])
+        assert_equal(mtest, ctrl)
+
+    def test_easy_structured_dtype(self):
+        # Test easy structured dtype
+        data = "0, 1, 2.3\n4, 5, 6.7"
+        mtest = np.genfromtxt(TextIO(data), delimiter=",",
+                             dtype=(int, float, float), defaultfmt="f_%02i")
+        ctrl = np.array([(0, 1., 2.3), (4, 5., 6.7)],
+                        dtype=[("f_00", int), ("f_01", float), ("f_02", float)])
+        assert_equal(mtest, ctrl)
+
+    def test_autostrip(self):
+        # Test autostrip
+        data = "01/01/2003  , 1.3,   abcde"
+        kwargs = dict(delimiter=",", dtype=None, encoding="bytes")
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            mtest = np.genfromtxt(TextIO(data), **kwargs)
+            assert_(w[0].category is VisibleDeprecationWarning)
+        ctrl = np.array([('01/01/2003  ', 1.3, '   abcde')],
+                        dtype=[('f0', '|S12'), ('f1', float), ('f2', '|S8')])
+        assert_equal(mtest, ctrl)
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            mtest = np.genfromtxt(TextIO(data), autostrip=True, **kwargs)
+            assert_(w[0].category is VisibleDeprecationWarning)
+        ctrl = np.array([('01/01/2003', 1.3, 'abcde')],
+                        dtype=[('f0', '|S10'), ('f1', float), ('f2', '|S5')])
+        assert_equal(mtest, ctrl)
+
+    def test_replace_space(self):
+        # Test the 'replace_space' option
+        txt = "A.A, B (B), C:C\n1, 2, 3.14"
+        # Test default: replace ' ' by '_' and delete non-alphanum chars
+        test = np.genfromtxt(TextIO(txt),
+                             delimiter=",", names=True, dtype=None)
+        ctrl_dtype = [("AA", int), ("B_B", int), ("CC", float)]
+        ctrl = np.array((1, 2, 3.14), dtype=ctrl_dtype)
+        assert_equal(test, ctrl)
+        # Test: no replace, no delete
+        test = np.genfromtxt(TextIO(txt),
+                             delimiter=",", names=True, dtype=None,
+                             replace_space='', deletechars='')
+        ctrl_dtype = [("A.A", int), ("B (B)", int), ("C:C", float)]
+        ctrl = np.array((1, 2, 3.14), dtype=ctrl_dtype)
+        assert_equal(test, ctrl)
+        # Test: no delete (spaces are replaced by _)
+        test = np.genfromtxt(TextIO(txt),
+                             delimiter=",", names=True, dtype=None,
+                             deletechars='')
+        ctrl_dtype = [("A.A", int), ("B_(B)", int), ("C:C", float)]
+        ctrl = np.array((1, 2, 3.14), dtype=ctrl_dtype)
+        assert_equal(test, ctrl)
+
+    def test_replace_space_known_dtype(self):
+        # Test the 'replace_space' (and related) options when dtype != None
+        txt = "A.A, B (B), C:C\n1, 2, 3"
+        # Test default: replace ' ' by '_' and delete non-alphanum chars
+        test = np.genfromtxt(TextIO(txt),
+                             delimiter=",", names=True, dtype=int)
+        ctrl_dtype = [("AA", int), ("B_B", int), ("CC", int)]
+        ctrl = np.array((1, 2, 3), dtype=ctrl_dtype)
+        assert_equal(test, ctrl)
+        # Test: no replace, no delete
+        test = np.genfromtxt(TextIO(txt),
+                             delimiter=",", names=True, dtype=int,
+                             replace_space='', deletechars='')
+        ctrl_dtype = [("A.A", int), ("B (B)", int), ("C:C", int)]
+        ctrl = np.array((1, 2, 3), dtype=ctrl_dtype)
+        assert_equal(test, ctrl)
+        # Test: no delete (spaces are replaced by _)
+        test = np.genfromtxt(TextIO(txt),
+                             delimiter=",", names=True, dtype=int,
+                             deletechars='')
+        ctrl_dtype = [("A.A", int), ("B_(B)", int), ("C:C", int)]
+        ctrl = np.array((1, 2, 3), dtype=ctrl_dtype)
+        assert_equal(test, ctrl)
+
+    def test_incomplete_names(self):
+        # Test w/ incomplete names
+        data = "A,,C\n0,1,2\n3,4,5"
+        kwargs = dict(delimiter=",", names=True)
+        # w/ dtype=None
+        ctrl = np.array([(0, 1, 2), (3, 4, 5)],
+                        dtype=[(_, int) for _ in ('A', 'f0', 'C')])
+        test = np.genfromtxt(TextIO(data), dtype=None, **kwargs)
+        assert_equal(test, ctrl)
+        # w/ default dtype
+        ctrl = np.array([(0, 1, 2), (3, 4, 5)],
+                        dtype=[(_, float) for _ in ('A', 'f0', 'C')])
+        test = np.genfromtxt(TextIO(data), **kwargs)
+
+    def test_names_auto_completion(self):
+        # Make sure that names are properly completed
+        data = "1 2 3\n 4 5 6"
+        test = np.genfromtxt(TextIO(data),
+                             dtype=(int, float, int), names="a")
+        ctrl = np.array([(1, 2, 3), (4, 5, 6)],
+                        dtype=[('a', int), ('f0', float), ('f1', int)])
+        assert_equal(test, ctrl)
+
+    def test_names_with_usecols_bug1636(self):
+        # Make sure we pick up the right names w/ usecols
+        data = "A,B,C,D,E\n0,1,2,3,4\n0,1,2,3,4\n0,1,2,3,4"
+        ctrl_names = ("A", "C", "E")
+        test = np.genfromtxt(TextIO(data),
+                             dtype=(int, int, int), delimiter=",",
+                             usecols=(0, 2, 4), names=True)
+        assert_equal(test.dtype.names, ctrl_names)
+        #
+        test = np.genfromtxt(TextIO(data),
+                             dtype=(int, int, int), delimiter=",",
+                             usecols=("A", "C", "E"), names=True)
+        assert_equal(test.dtype.names, ctrl_names)
+        #
+        test = np.genfromtxt(TextIO(data),
+                             dtype=int, delimiter=",",
+                             usecols=("A", "C", "E"), names=True)
+        assert_equal(test.dtype.names, ctrl_names)
+
+    def test_fixed_width_names(self):
+        # Test fix-width w/ names
+        data = "    A    B   C\n    0    1 2.3\n   45   67   9."
+        kwargs = dict(delimiter=(5, 5, 4), names=True, dtype=None)
+        ctrl = np.array([(0, 1, 2.3), (45, 67, 9.)],
+                        dtype=[('A', int), ('B', int), ('C', float)])
+        test = np.genfromtxt(TextIO(data), **kwargs)
+        assert_equal(test, ctrl)
+        #
+        kwargs = dict(delimiter=5, names=True, dtype=None)
+        ctrl = np.array([(0, 1, 2.3), (45, 67, 9.)],
+                        dtype=[('A', int), ('B', int), ('C', float)])
+        test = np.genfromtxt(TextIO(data), **kwargs)
+        assert_equal(test, ctrl)
+
+    def test_filling_values(self):
+        # Test missing values
+        data = b"1, 2, 3\n1, , 5\n0, 6, \n"
+        kwargs = dict(delimiter=",", dtype=None, filling_values=-999)
+        ctrl = np.array([[1, 2, 3], [1, -999, 5], [0, 6, -999]], dtype=int)
+        test = np.genfromtxt(TextIO(data), **kwargs)
+        assert_equal(test, ctrl)
+
+    def test_comments_is_none(self):
+        # Github issue 329 (None was previously being converted to 'None').
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(TextIO("test1,testNonetherestofthedata"),
+                                 dtype=None, comments=None, delimiter=',',
+                                 encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        assert_equal(test[1], b'testNonetherestofthedata')
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(TextIO("test1, testNonetherestofthedata"),
+                                 dtype=None, comments=None, delimiter=',',
+                                 encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        assert_equal(test[1], b' testNonetherestofthedata')
+
+    def test_latin1(self):
+        latin1 = b'\xf6\xfc\xf6'
+        norm = b"norm1,norm2,norm3\n"
+        enc = b"test1,testNonethe" + latin1 + b",test3\n"
+        s = norm + enc + norm
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(TextIO(s),
+                                 dtype=None, comments=None, delimiter=',',
+                                 encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        assert_equal(test[1, 0], b"test1")
+        assert_equal(test[1, 1], b"testNonethe" + latin1)
+        assert_equal(test[1, 2], b"test3")
+        test = np.genfromtxt(TextIO(s),
+                             dtype=None, comments=None, delimiter=',',
+                             encoding='latin1')
+        assert_equal(test[1, 0], "test1")
+        assert_equal(test[1, 1], "testNonethe" + latin1.decode('latin1'))
+        assert_equal(test[1, 2], "test3")
+
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(TextIO(b"0,testNonethe" + latin1),
+                                 dtype=None, comments=None, delimiter=',',
+                                 encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        assert_equal(test['f0'], 0)
+        assert_equal(test['f1'], b"testNonethe" + latin1)
+
+    def test_binary_decode_autodtype(self):
+        utf16 = b'\xff\xfeh\x04 \x00i\x04 \x00j\x04'
+        v = self.loadfunc(BytesIO(utf16), dtype=None, encoding='UTF-16')
+        assert_array_equal(v, np.array(utf16.decode('UTF-16').split()))
+
+    def test_utf8_byte_encoding(self):
+        utf8 = b"\xcf\x96"
+        norm = b"norm1,norm2,norm3\n"
+        enc = b"test1,testNonethe" + utf8 + b",test3\n"
+        s = norm + enc + norm
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', VisibleDeprecationWarning)
+            test = np.genfromtxt(TextIO(s),
+                                 dtype=None, comments=None, delimiter=',',
+                                 encoding="bytes")
+            assert_(w[0].category is VisibleDeprecationWarning)
+        ctl = np.array([
+                 [b'norm1', b'norm2', b'norm3'],
+                 [b'test1', b'testNonethe' + utf8, b'test3'],
+                 [b'norm1', b'norm2', b'norm3']])
+        assert_array_equal(test, ctl)
+
+    def test_utf8_file(self):
+        utf8 = b"\xcf\x96"
+        with temppath() as path:
+            with open(path, "wb") as f:
+                f.write((b"test1,testNonethe" + utf8 + b",test3\n") * 2)
+            test = np.genfromtxt(path, dtype=None, comments=None,
+                                 delimiter=',', encoding="UTF-8")
+            ctl = np.array([
+                     ["test1", "testNonethe" + utf8.decode("UTF-8"), "test3"],
+                     ["test1", "testNonethe" + utf8.decode("UTF-8"), "test3"]],
+                     dtype=np.str_)
+            assert_array_equal(test, ctl)
+
+            # test a mixed dtype
+            with open(path, "wb") as f:
+                f.write(b"0,testNonethe" + utf8)
+            test = np.genfromtxt(path, dtype=None, comments=None,
+                                 delimiter=',', encoding="UTF-8")
+            assert_equal(test['f0'], 0)
+            assert_equal(test['f1'], "testNonethe" + utf8.decode("UTF-8"))
+
+    def test_utf8_file_nodtype_unicode(self):
+        # bytes encoding with non-latin1 -> unicode upcast
+        utf8 = '\u03d6'
+        latin1 = '\xf6\xfc\xf6'
+
+        # skip test if cannot encode utf8 test string with preferred
+        # encoding. The preferred encoding is assumed to be the default
+        # encoding of open. Will need to change this for PyTest, maybe
+        # using pytest.mark.xfail(raises=***).
+        try:
+            encoding = locale.getpreferredencoding()
+            utf8.encode(encoding)
+        except (UnicodeError, ImportError):
+            pytest.skip('Skipping test_utf8_file_nodtype_unicode, '
+                        'unable to encode utf8 in preferred encoding')
+
+        with temppath() as path:
+            with open(path, "wt") as f:
+                f.write("norm1,norm2,norm3\n")
+                f.write("norm1," + latin1 + ",norm3\n")
+                f.write("test1,testNonethe" + utf8 + ",test3\n")
+            with warnings.catch_warnings(record=True) as w:
+                warnings.filterwarnings('always', '',
+                                        VisibleDeprecationWarning)
+                test = np.genfromtxt(path, dtype=None, comments=None,
+                                     delimiter=',', encoding="bytes")
+                # Check for warning when encoding not specified.
+                assert_(w[0].category is VisibleDeprecationWarning)
+            ctl = np.array([
+                     ["norm1", "norm2", "norm3"],
+                     ["norm1", latin1, "norm3"],
+                     ["test1", "testNonethe" + utf8, "test3"]],
+                     dtype=np.str_)
+            assert_array_equal(test, ctl)
+
+    @pytest.mark.filterwarnings("ignore:.*recfromtxt.*:DeprecationWarning")
+    def test_recfromtxt(self):
+        #
+        data = TextIO('A,B\n0,1\n2,3')
+        kwargs = dict(delimiter=",", missing_values="N/A", names=True)
+        test = recfromtxt(data, **kwargs)
+        control = np.array([(0, 1), (2, 3)],
+                           dtype=[('A', int), ('B', int)])
+        assert_(isinstance(test, np.recarray))
+        assert_equal(test, control)
+        #
+        data = TextIO('A,B\n0,1\n2,N/A')
+        test = recfromtxt(data, dtype=None, usemask=True, **kwargs)
+        control = ma.array([(0, 1), (2, -1)],
+                           mask=[(False, False), (False, True)],
+                           dtype=[('A', int), ('B', int)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+        assert_equal(test.A, [0, 2])
+
+    @pytest.mark.filterwarnings("ignore:.*recfromcsv.*:DeprecationWarning")
+    def test_recfromcsv(self):
+        #
+        data = TextIO('A,B\n0,1\n2,3')
+        kwargs = dict(missing_values="N/A", names=True, case_sensitive=True,
+                      encoding="bytes")
+        test = recfromcsv(data, dtype=None, **kwargs)
+        control = np.array([(0, 1), (2, 3)],
+                           dtype=[('A', int), ('B', int)])
+        assert_(isinstance(test, np.recarray))
+        assert_equal(test, control)
+        #
+        data = TextIO('A,B\n0,1\n2,N/A')
+        test = recfromcsv(data, dtype=None, usemask=True, **kwargs)
+        control = ma.array([(0, 1), (2, -1)],
+                           mask=[(False, False), (False, True)],
+                           dtype=[('A', int), ('B', int)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+        assert_equal(test.A, [0, 2])
+        #
+        data = TextIO('A,B\n0,1\n2,3')
+        test = recfromcsv(data, missing_values='N/A',)
+        control = np.array([(0, 1), (2, 3)],
+                           dtype=[('a', int), ('b', int)])
+        assert_(isinstance(test, np.recarray))
+        assert_equal(test, control)
+        #
+        data = TextIO('A,B\n0,1\n2,3')
+        dtype = [('a', int), ('b', float)]
+        test = recfromcsv(data, missing_values='N/A', dtype=dtype)
+        control = np.array([(0, 1), (2, 3)],
+                           dtype=dtype)
+        assert_(isinstance(test, np.recarray))
+        assert_equal(test, control)
+
+        #gh-10394
+        data = TextIO('color\n"red"\n"blue"')
+        test = recfromcsv(data, converters={0: lambda x: x.strip('\"')})
+        control = np.array([('red',), ('blue',)], dtype=[('color', (str, 4))])
+        assert_equal(test.dtype, control.dtype)
+        assert_equal(test, control)
+
+    def test_max_rows(self):
+        # Test the `max_rows` keyword argument.
+        data = '1 2\n3 4\n5 6\n7 8\n9 10\n'
+        txt = TextIO(data)
+        a1 = np.genfromtxt(txt, max_rows=3)
+        a2 = np.genfromtxt(txt)
+        assert_equal(a1, [[1, 2], [3, 4], [5, 6]])
+        assert_equal(a2, [[7, 8], [9, 10]])
+
+        # max_rows must be at least 1.
+        assert_raises(ValueError, np.genfromtxt, TextIO(data), max_rows=0)
+
+        # An input with several invalid rows.
+        data = '1 1\n2 2\n0 \n3 3\n4 4\n5  \n6  \n7  \n'
+
+        test = np.genfromtxt(TextIO(data), max_rows=2)
+        control = np.array([[1., 1.], [2., 2.]])
+        assert_equal(test, control)
+
+        # Test keywords conflict
+        assert_raises(ValueError, np.genfromtxt, TextIO(data), skip_footer=1,
+                      max_rows=4)
+
+        # Test with invalid value
+        assert_raises(ValueError, np.genfromtxt, TextIO(data), max_rows=4)
+
+        # Test with invalid not raise
+        with suppress_warnings() as sup:
+            sup.filter(ConversionWarning)
+
+            test = np.genfromtxt(TextIO(data), max_rows=4, invalid_raise=False)
+            control = np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]])
+            assert_equal(test, control)
+
+            test = np.genfromtxt(TextIO(data), max_rows=5, invalid_raise=False)
+            control = np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]])
+            assert_equal(test, control)
+
+        # Structured array with field names.
+        data = 'a b\n#c d\n1 1\n2 2\n#0 \n3 3\n4 4\n5  5\n'
+
+        # Test with header, names and comments
+        txt = TextIO(data)
+        test = np.genfromtxt(txt, skip_header=1, max_rows=3, names=True)
+        control = np.array([(1.0, 1.0), (2.0, 2.0), (3.0, 3.0)],
+                      dtype=[('c', ' should convert to float
+        # 2**34 = 17179869184 => should convert to int64
+        # 2**10 = 1024 => should convert to int (int32 on 32-bit systems,
+        #                 int64 on 64-bit systems)
+
+        data = TextIO('73786976294838206464 17179869184 1024')
+
+        test = np.genfromtxt(data, dtype=None)
+
+        assert_equal(test.dtype.names, ['f0', 'f1', 'f2'])
+
+        assert_(test.dtype['f0'] == float)
+        assert_(test.dtype['f1'] == np.int64)
+        assert_(test.dtype['f2'] == np.int_)
+
+        assert_allclose(test['f0'], 73786976294838206464.)
+        assert_equal(test['f1'], 17179869184)
+        assert_equal(test['f2'], 1024)
+
+    def test_unpack_float_data(self):
+        txt = TextIO("1,2,3\n4,5,6\n7,8,9\n0.0,1.0,2.0")
+        a, b, c = np.loadtxt(txt, delimiter=",", unpack=True)
+        assert_array_equal(a, np.array([1.0, 4.0, 7.0, 0.0]))
+        assert_array_equal(b, np.array([2.0, 5.0, 8.0, 1.0]))
+        assert_array_equal(c, np.array([3.0, 6.0, 9.0, 2.0]))
+
+    def test_unpack_structured(self):
+        # Regression test for gh-4341
+        # Unpacking should work on structured arrays
+        txt = TextIO("M 21 72\nF 35 58")
+        dt = {'names': ('a', 'b', 'c'), 'formats': ('S1', 'i4', 'f4')}
+        a, b, c = np.genfromtxt(txt, dtype=dt, unpack=True)
+        assert_equal(a.dtype, np.dtype('S1'))
+        assert_equal(b.dtype, np.dtype('i4'))
+        assert_equal(c.dtype, np.dtype('f4'))
+        assert_array_equal(a, np.array([b'M', b'F']))
+        assert_array_equal(b, np.array([21, 35]))
+        assert_array_equal(c, np.array([72.,  58.]))
+
+    def test_unpack_auto_dtype(self):
+        # Regression test for gh-4341
+        # Unpacking should work when dtype=None
+        txt = TextIO("M 21 72.\nF 35 58.")
+        expected = (np.array(["M", "F"]), np.array([21, 35]), np.array([72., 58.]))
+        test = np.genfromtxt(txt, dtype=None, unpack=True, encoding="utf-8")
+        for arr, result in zip(expected, test):
+            assert_array_equal(arr, result)
+            assert_equal(arr.dtype, result.dtype)
+
+    def test_unpack_single_name(self):
+        # Regression test for gh-4341
+        # Unpacking should work when structured dtype has only one field
+        txt = TextIO("21\n35")
+        dt = {'names': ('a',), 'formats': ('i4',)}
+        expected = np.array([21, 35], dtype=np.int32)
+        test = np.genfromtxt(txt, dtype=dt, unpack=True)
+        assert_array_equal(expected, test)
+        assert_equal(expected.dtype, test.dtype)
+
+    def test_squeeze_scalar(self):
+        # Regression test for gh-4341
+        # Unpacking a scalar should give zero-dim output,
+        # even if dtype is structured
+        txt = TextIO("1")
+        dt = {'names': ('a',), 'formats': ('i4',)}
+        expected = np.array((1,), dtype=np.int32)
+        test = np.genfromtxt(txt, dtype=dt, unpack=True)
+        assert_array_equal(expected, test)
+        assert_equal((), test.shape)
+        assert_equal(expected.dtype, test.dtype)
+
+    @pytest.mark.parametrize("ndim", [0, 1, 2])
+    def test_ndmin_keyword(self, ndim: int):
+        # lets have the same behaviour of ndmin as loadtxt
+        # as they should be the same for non-missing values
+        txt = "42"
+
+        a = np.loadtxt(StringIO(txt), ndmin=ndim)
+        b = np.genfromtxt(StringIO(txt), ndmin=ndim)
+
+        assert_array_equal(a, b)
+
+
+class TestPathUsage:
+    # Test that pathlib.Path can be used
+    def test_loadtxt(self):
+        with temppath(suffix='.txt') as path:
+            path = Path(path)
+            a = np.array([[1.1, 2], [3, 4]])
+            np.savetxt(path, a)
+            x = np.loadtxt(path)
+            assert_array_equal(x, a)
+
+    def test_save_load(self):
+        # Test that pathlib.Path instances can be used with save.
+        with temppath(suffix='.npy') as path:
+            path = Path(path)
+            a = np.array([[1, 2], [3, 4]], int)
+            np.save(path, a)
+            data = np.load(path)
+            assert_array_equal(data, a)
+
+    def test_save_load_memmap(self):
+        # Test that pathlib.Path instances can be loaded mem-mapped.
+        with temppath(suffix='.npy') as path:
+            path = Path(path)
+            a = np.array([[1, 2], [3, 4]], int)
+            np.save(path, a)
+            data = np.load(path, mmap_mode='r')
+            assert_array_equal(data, a)
+            # close the mem-mapped file
+            del data
+            if IS_PYPY:
+                break_cycles()
+                break_cycles()
+
+    @pytest.mark.xfail(IS_WASM, reason="memmap doesn't work correctly")
+    @pytest.mark.parametrize("filename_type", [Path, str])
+    def test_save_load_memmap_readwrite(self, filename_type):
+        with temppath(suffix='.npy') as path:
+            path = filename_type(path)
+            a = np.array([[1, 2], [3, 4]], int)
+            np.save(path, a)
+            b = np.load(path, mmap_mode='r+')
+            a[0][0] = 5
+            b[0][0] = 5
+            del b  # closes the file
+            if IS_PYPY:
+                break_cycles()
+                break_cycles()
+            data = np.load(path)
+            assert_array_equal(data, a)
+
+    @pytest.mark.parametrize("filename_type", [Path, str])
+    def test_savez_load(self, filename_type):
+        with temppath(suffix='.npz') as path:
+            path = filename_type(path)
+            np.savez(path, lab='place holder')
+            with np.load(path) as data:
+                assert_array_equal(data['lab'], 'place holder')
+
+    @pytest.mark.parametrize("filename_type", [Path, str])
+    def test_savez_compressed_load(self, filename_type):
+        with temppath(suffix='.npz') as path:
+            path = filename_type(path)
+            np.savez_compressed(path, lab='place holder')
+            data = np.load(path)
+            assert_array_equal(data['lab'], 'place holder')
+            data.close()
+
+    @pytest.mark.parametrize("filename_type", [Path, str])
+    def test_genfromtxt(self, filename_type):
+        with temppath(suffix='.txt') as path:
+            path = filename_type(path)
+            a = np.array([(1, 2), (3, 4)])
+            np.savetxt(path, a)
+            data = np.genfromtxt(path)
+            assert_array_equal(a, data)
+
+    @pytest.mark.parametrize("filename_type", [Path, str])
+    @pytest.mark.filterwarnings("ignore:.*recfromtxt.*:DeprecationWarning")
+    def test_recfromtxt(self, filename_type):
+        with temppath(suffix='.txt') as path:
+            path = filename_type(path)
+            with open(path, 'w') as f:
+                f.write('A,B\n0,1\n2,3')
+
+            kwargs = dict(delimiter=",", missing_values="N/A", names=True)
+            test = recfromtxt(path, **kwargs)
+            control = np.array([(0, 1), (2, 3)],
+                               dtype=[('A', int), ('B', int)])
+            assert_(isinstance(test, np.recarray))
+            assert_equal(test, control)
+
+    @pytest.mark.parametrize("filename_type", [Path, str])
+    @pytest.mark.filterwarnings("ignore:.*recfromcsv.*:DeprecationWarning")
+    def test_recfromcsv(self, filename_type):
+        with temppath(suffix='.txt') as path:
+            path = filename_type(path)
+            with open(path, 'w') as f:
+                f.write('A,B\n0,1\n2,3')
+
+            kwargs = dict(
+                missing_values="N/A", names=True, case_sensitive=True
+            )
+            test = recfromcsv(path, dtype=None, **kwargs)
+            control = np.array([(0, 1), (2, 3)],
+                               dtype=[('A', int), ('B', int)])
+            assert_(isinstance(test, np.recarray))
+            assert_equal(test, control)
+
+
+def test_gzip_load():
+    a = np.random.random((5, 5))
+
+    s = BytesIO()
+    f = gzip.GzipFile(fileobj=s, mode="w")
+
+    np.save(f, a)
+    f.close()
+    s.seek(0)
+
+    f = gzip.GzipFile(fileobj=s, mode="r")
+    assert_array_equal(np.load(f), a)
+
+
+# These next two classes encode the minimal API needed to save()/load() arrays.
+# The `test_ducktyping` ensures they work correctly
+class JustWriter:
+    def __init__(self, base):
+        self.base = base
+
+    def write(self, s):
+        return self.base.write(s)
+
+    def flush(self):
+        return self.base.flush()
+
+class JustReader:
+    def __init__(self, base):
+        self.base = base
+
+    def read(self, n):
+        return self.base.read(n)
+
+    def seek(self, off, whence=0):
+        return self.base.seek(off, whence)
+
+
+def test_ducktyping():
+    a = np.random.random((5, 5))
+
+    s = BytesIO()
+    f = JustWriter(s)
+
+    np.save(f, a)
+    f.flush()
+    s.seek(0)
+
+    f = JustReader(s)
+    assert_array_equal(np.load(f), a)
+
+
+
+def test_gzip_loadtxt():
+    # Thanks to another windows brokenness, we can't use
+    # NamedTemporaryFile: a file created from this function cannot be
+    # reopened by another open call. So we first put the gzipped string
+    # of the test reference array, write it to a securely opened file,
+    # which is then read from by the loadtxt function
+    s = BytesIO()
+    g = gzip.GzipFile(fileobj=s, mode='w')
+    g.write(b'1 2 3\n')
+    g.close()
+
+    s.seek(0)
+    with temppath(suffix='.gz') as name:
+        with open(name, 'wb') as f:
+            f.write(s.read())
+        res = np.loadtxt(name)
+    s.close()
+
+    assert_array_equal(res, [1, 2, 3])
+
+
+def test_gzip_loadtxt_from_string():
+    s = BytesIO()
+    f = gzip.GzipFile(fileobj=s, mode="w")
+    f.write(b'1 2 3\n')
+    f.close()
+    s.seek(0)
+
+    f = gzip.GzipFile(fileobj=s, mode="r")
+    assert_array_equal(np.loadtxt(f), [1, 2, 3])
+
+
+def test_npzfile_dict():
+    s = BytesIO()
+    x = np.zeros((3, 3))
+    y = np.zeros((3, 3))
+
+    np.savez(s, x=x, y=y)
+    s.seek(0)
+
+    z = np.load(s)
+
+    assert_('x' in z)
+    assert_('y' in z)
+    assert_('x' in z.keys())
+    assert_('y' in z.keys())
+
+    for f, a in z.items():
+        assert_(f in ['x', 'y'])
+        assert_equal(a.shape, (3, 3))
+
+    for a in z.values():
+        assert_equal(a.shape, (3, 3))
+
+    assert_(len(z.items()) == 2)
+
+    for f in z:
+        assert_(f in ['x', 'y'])
+
+    assert_('x' in z.keys())
+    assert (z.get('x') == z['x']).all()
+
+
+@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts")
+def test_load_refcount():
+    # Check that objects returned by np.load are directly freed based on
+    # their refcount, rather than needing the gc to collect them.
+
+    f = BytesIO()
+    np.savez(f, [1, 2, 3])
+    f.seek(0)
+
+    with assert_no_gc_cycles():
+        np.load(f)
+
+    f.seek(0)
+    dt = [("a", 'u1', 2), ("b", 'u1', 2)]
+    with assert_no_gc_cycles():
+        x = np.loadtxt(TextIO("0 1 2 3"), dtype=dt)
+        assert_equal(x, np.array([((0, 1), (2, 3))], dtype=dt))
+
+
+def test_load_multiple_arrays_until_eof():
+    f = BytesIO()
+    np.save(f, 1)
+    np.save(f, 2)
+    f.seek(0)
+    out1 = np.load(f)
+    assert out1 == 1
+    out2 = np.load(f)
+    assert out2 == 2
+    with pytest.raises(EOFError):
+        np.load(f)
+
+
+def test_savez_nopickle():
+    obj_array = np.array([1, 'hello'], dtype=object)
+    with temppath(suffix='.npz') as tmp:
+        np.savez(tmp, obj_array)
+
+    with temppath(suffix='.npz') as tmp:
+        with pytest.raises(ValueError, match="Object arrays cannot be saved when.*"):
+            np.savez(tmp, obj_array, allow_pickle=False)
+
+    with temppath(suffix='.npz') as tmp:
+        np.savez_compressed(tmp, obj_array)
+
+    with temppath(suffix='.npz') as tmp:
+        with pytest.raises(ValueError, match="Object arrays cannot be saved when.*"):
+            np.savez_compressed(tmp, obj_array, allow_pickle=False)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_loadtxt.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_loadtxt.py
new file mode 100644
index 0000000000000000000000000000000000000000..60717be3bd9af7c8159beee4900bec2ce411c7cb
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_loadtxt.py
@@ -0,0 +1,1100 @@
+"""
+Tests specific to `np.loadtxt` added during the move of loadtxt to be backed
+by C code.
+These tests complement those found in `test_io.py`.
+"""
+
+import sys
+import os
+import pytest
+from tempfile import NamedTemporaryFile, mkstemp
+from io import StringIO
+
+import numpy as np
+from numpy.ma.testutils import assert_equal
+from numpy.testing import assert_array_equal, HAS_REFCOUNT, IS_PYPY
+
+
+def test_scientific_notation():
+    """Test that both 'e' and 'E' are parsed correctly."""
+    data = StringIO(
+
+            "1.0e-1,2.0E1,3.0\n"
+            "4.0e-2,5.0E-1,6.0\n"
+            "7.0e-3,8.0E1,9.0\n"
+            "0.0e-4,1.0E-1,2.0"
+
+    )
+    expected = np.array(
+        [[0.1, 20., 3.0], [0.04, 0.5, 6], [0.007, 80., 9], [0, 0.1, 2]]
+    )
+    assert_array_equal(np.loadtxt(data, delimiter=","), expected)
+
+
+@pytest.mark.parametrize("comment", ["..", "//", "@-", "this is a comment:"])
+def test_comment_multiple_chars(comment):
+    content = "# IGNORE\n1.5, 2.5# ABC\n3.0,4.0# XXX\n5.5,6.0\n"
+    txt = StringIO(content.replace("#", comment))
+    a = np.loadtxt(txt, delimiter=",", comments=comment)
+    assert_equal(a, [[1.5, 2.5], [3.0, 4.0], [5.5, 6.0]])
+
+
+@pytest.fixture
+def mixed_types_structured():
+    """
+    Fixture providing heterogeneous input data with a structured dtype, along
+    with the associated structured array.
+    """
+    data = StringIO(
+
+            "1000;2.4;alpha;-34\n"
+            "2000;3.1;beta;29\n"
+            "3500;9.9;gamma;120\n"
+            "4090;8.1;delta;0\n"
+            "5001;4.4;epsilon;-99\n"
+            "6543;7.8;omega;-1\n"
+
+    )
+    dtype = np.dtype(
+        [('f0', np.uint16), ('f1', np.float64), ('f2', 'S7'), ('f3', np.int8)]
+    )
+    expected = np.array(
+        [
+            (1000, 2.4, "alpha", -34),
+            (2000, 3.1, "beta", 29),
+            (3500, 9.9, "gamma", 120),
+            (4090, 8.1, "delta", 0),
+            (5001, 4.4, "epsilon", -99),
+            (6543, 7.8, "omega", -1)
+        ],
+        dtype=dtype
+    )
+    return data, dtype, expected
+
+
+@pytest.mark.parametrize('skiprows', [0, 1, 2, 3])
+def test_structured_dtype_and_skiprows_no_empty_lines(
+        skiprows, mixed_types_structured):
+    data, dtype, expected = mixed_types_structured
+    a = np.loadtxt(data, dtype=dtype, delimiter=";", skiprows=skiprows)
+    assert_array_equal(a, expected[skiprows:])
+
+
+def test_unpack_structured(mixed_types_structured):
+    data, dtype, expected = mixed_types_structured
+
+    a, b, c, d = np.loadtxt(data, dtype=dtype, delimiter=";", unpack=True)
+    assert_array_equal(a, expected["f0"])
+    assert_array_equal(b, expected["f1"])
+    assert_array_equal(c, expected["f2"])
+    assert_array_equal(d, expected["f3"])
+
+
+def test_structured_dtype_with_shape():
+    dtype = np.dtype([("a", "u1", 2), ("b", "u1", 2)])
+    data = StringIO("0,1,2,3\n6,7,8,9\n")
+    expected = np.array([((0, 1), (2, 3)), ((6, 7), (8, 9))], dtype=dtype)
+    assert_array_equal(np.loadtxt(data, delimiter=",", dtype=dtype), expected)
+
+
+def test_structured_dtype_with_multi_shape():
+    dtype = np.dtype([("a", "u1", (2, 2))])
+    data = StringIO("0 1 2 3\n")
+    expected = np.array([(((0, 1), (2, 3)),)], dtype=dtype)
+    assert_array_equal(np.loadtxt(data, dtype=dtype), expected)
+
+
+def test_nested_structured_subarray():
+    # Test from gh-16678
+    point = np.dtype([('x', float), ('y', float)])
+    dt = np.dtype([('code', int), ('points', point, (2,))])
+    data = StringIO("100,1,2,3,4\n200,5,6,7,8\n")
+    expected = np.array(
+        [
+            (100, [(1., 2.), (3., 4.)]),
+            (200, [(5., 6.), (7., 8.)]),
+        ],
+        dtype=dt
+    )
+    assert_array_equal(np.loadtxt(data, dtype=dt, delimiter=","), expected)
+
+
+def test_structured_dtype_offsets():
+    # An aligned structured dtype will have additional padding
+    dt = np.dtype("i1, i4, i1, i4, i1, i4", align=True)
+    data = StringIO("1,2,3,4,5,6\n7,8,9,10,11,12\n")
+    expected = np.array([(1, 2, 3, 4, 5, 6), (7, 8, 9, 10, 11, 12)], dtype=dt)
+    assert_array_equal(np.loadtxt(data, delimiter=",", dtype=dt), expected)
+
+
+@pytest.mark.parametrize("param", ("skiprows", "max_rows"))
+def test_exception_negative_row_limits(param):
+    """skiprows and max_rows should raise for negative parameters."""
+    with pytest.raises(ValueError, match="argument must be nonnegative"):
+        np.loadtxt("foo.bar", **{param: -3})
+
+
+@pytest.mark.parametrize("param", ("skiprows", "max_rows"))
+def test_exception_noninteger_row_limits(param):
+    with pytest.raises(TypeError, match="argument must be an integer"):
+        np.loadtxt("foo.bar", **{param: 1.0})
+
+
+@pytest.mark.parametrize(
+    "data, shape",
+    [
+        ("1 2 3 4 5\n", (1, 5)),  # Single row
+        ("1\n2\n3\n4\n5\n", (5, 1)),  # Single column
+    ]
+)
+def test_ndmin_single_row_or_col(data, shape):
+    arr = np.array([1, 2, 3, 4, 5])
+    arr2d = arr.reshape(shape)
+
+    assert_array_equal(np.loadtxt(StringIO(data), dtype=int), arr)
+    assert_array_equal(np.loadtxt(StringIO(data), dtype=int, ndmin=0), arr)
+    assert_array_equal(np.loadtxt(StringIO(data), dtype=int, ndmin=1), arr)
+    assert_array_equal(np.loadtxt(StringIO(data), dtype=int, ndmin=2), arr2d)
+
+
+@pytest.mark.parametrize("badval", [-1, 3, None, "plate of shrimp"])
+def test_bad_ndmin(badval):
+    with pytest.raises(ValueError, match="Illegal value of ndmin keyword"):
+        np.loadtxt("foo.bar", ndmin=badval)
+
+
+@pytest.mark.parametrize(
+    "ws",
+    (
+            " ",  # space
+            "\t",  # tab
+            "\u2003",  # em
+            "\u00A0",  # non-break
+            "\u3000",  # ideographic space
+    )
+)
+def test_blank_lines_spaces_delimit(ws):
+    txt = StringIO(
+        f"1 2{ws}30\n\n{ws}\n"
+        f"4 5 60{ws}\n  {ws}  \n"
+        f"7 8 {ws} 90\n  # comment\n"
+        f"3 2 1"
+    )
+    # NOTE: It is unclear that the `  # comment` should succeed. Except
+    #       for delimiter=None, which should use any whitespace (and maybe
+    #       should just be implemented closer to Python
+    expected = np.array([[1, 2, 30], [4, 5, 60], [7, 8, 90], [3, 2, 1]])
+    assert_equal(
+        np.loadtxt(txt, dtype=int, delimiter=None, comments="#"), expected
+    )
+
+
+def test_blank_lines_normal_delimiter():
+    txt = StringIO('1,2,30\n\n4,5,60\n\n7,8,90\n# comment\n3,2,1')
+    expected = np.array([[1, 2, 30], [4, 5, 60], [7, 8, 90], [3, 2, 1]])
+    assert_equal(
+        np.loadtxt(txt, dtype=int, delimiter=',', comments="#"), expected
+    )
+
+
+@pytest.mark.parametrize("dtype", (float, object))
+def test_maxrows_no_blank_lines(dtype):
+    txt = StringIO("1.5,2.5\n3.0,4.0\n5.5,6.0")
+    res = np.loadtxt(txt, dtype=dtype, delimiter=",", max_rows=2)
+    assert_equal(res.dtype, dtype)
+    assert_equal(res, np.array([["1.5", "2.5"], ["3.0", "4.0"]], dtype=dtype))
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+@pytest.mark.parametrize("dtype", (np.dtype("f8"), np.dtype("i2")))
+def test_exception_message_bad_values(dtype):
+    txt = StringIO("1,2\n3,XXX\n5,6")
+    msg = f"could not convert string 'XXX' to {dtype} at row 1, column 2"
+    with pytest.raises(ValueError, match=msg):
+        np.loadtxt(txt, dtype=dtype, delimiter=",")
+
+
+def test_converters_negative_indices():
+    txt = StringIO('1.5,2.5\n3.0,XXX\n5.5,6.0')
+    conv = {-1: lambda s: np.nan if s == 'XXX' else float(s)}
+    expected = np.array([[1.5, 2.5], [3.0, np.nan], [5.5, 6.0]])
+    res = np.loadtxt(txt, dtype=np.float64, delimiter=",", converters=conv)
+    assert_equal(res, expected)
+
+
+def test_converters_negative_indices_with_usecols():
+    txt = StringIO('1.5,2.5,3.5\n3.0,4.0,XXX\n5.5,6.0,7.5\n')
+    conv = {-1: lambda s: np.nan if s == 'XXX' else float(s)}
+    expected = np.array([[1.5, 3.5], [3.0, np.nan], [5.5, 7.5]])
+    res = np.loadtxt(
+        txt,
+        dtype=np.float64,
+        delimiter=",",
+        converters=conv,
+        usecols=[0, -1],
+    )
+    assert_equal(res, expected)
+
+    # Second test with variable number of rows:
+    res = np.loadtxt(StringIO('''0,1,2\n0,1,2,3,4'''), delimiter=",",
+                     usecols=[0, -1], converters={-1: (lambda x: -1)})
+    assert_array_equal(res, [[0, -1], [0, -1]])
+
+
+def test_ragged_error():
+    rows = ["1,2,3", "1,2,3", "4,3,2,1"]
+    with pytest.raises(ValueError,
+            match="the number of columns changed from 3 to 4 at row 3"):
+        np.loadtxt(rows, delimiter=",")
+
+
+def test_ragged_usecols():
+    # usecols, and negative ones, work even with varying number of columns.
+    txt = StringIO("0,0,XXX\n0,XXX,0,XXX\n0,XXX,XXX,0,XXX\n")
+    expected = np.array([[0, 0], [0, 0], [0, 0]])
+    res = np.loadtxt(txt, dtype=float, delimiter=",", usecols=[0, -2])
+    assert_equal(res, expected)
+
+    txt = StringIO("0,0,XXX\n0\n0,XXX,XXX,0,XXX\n")
+    with pytest.raises(ValueError,
+                match="invalid column index -2 at row 2 with 1 columns"):
+        # There is no -2 column in the second row:
+        np.loadtxt(txt, dtype=float, delimiter=",", usecols=[0, -2])
+
+
+def test_empty_usecols():
+    txt = StringIO("0,0,XXX\n0,XXX,0,XXX\n0,XXX,XXX,0,XXX\n")
+    res = np.loadtxt(txt, dtype=np.dtype([]), delimiter=",", usecols=[])
+    assert res.shape == (3,)
+    assert res.dtype == np.dtype([])
+
+
+@pytest.mark.parametrize("c1", ["a", "の", "🫕"])
+@pytest.mark.parametrize("c2", ["a", "の", "🫕"])
+def test_large_unicode_characters(c1, c2):
+    # c1 and c2 span ascii, 16bit and 32bit range.
+    txt = StringIO(f"a,{c1},c,1.0\ne,{c2},2.0,g")
+    res = np.loadtxt(txt, dtype=np.dtype('U12'), delimiter=",")
+    expected = np.array(
+        [f"a,{c1},c,1.0".split(","), f"e,{c2},2.0,g".split(",")],
+        dtype=np.dtype('U12')
+    )
+    assert_equal(res, expected)
+
+
+def test_unicode_with_converter():
+    txt = StringIO("cat,dog\nαβγ,δεζ\nabc,def\n")
+    conv = {0: lambda s: s.upper()}
+    res = np.loadtxt(
+        txt,
+        dtype=np.dtype("U12"),
+        converters=conv,
+        delimiter=",",
+        encoding=None
+    )
+    expected = np.array([['CAT', 'dog'], ['ΑΒΓ', 'δεζ'], ['ABC', 'def']])
+    assert_equal(res, expected)
+
+
+def test_converter_with_structured_dtype():
+    txt = StringIO('1.5,2.5,Abc\n3.0,4.0,dEf\n5.5,6.0,ghI\n')
+    dt = np.dtype([('m', np.int32), ('r', np.float32), ('code', 'U8')])
+    conv = {0: lambda s: int(10*float(s)), -1: lambda s: s.upper()}
+    res = np.loadtxt(txt, dtype=dt, delimiter=",", converters=conv)
+    expected = np.array(
+        [(15, 2.5, 'ABC'), (30, 4.0, 'DEF'), (55, 6.0, 'GHI')], dtype=dt
+    )
+    assert_equal(res, expected)
+
+
+def test_converter_with_unicode_dtype():
+    """
+    With the 'bytes' encoding, tokens are encoded prior to being
+    passed to the converter. This means that the output of the converter may
+    be bytes instead of unicode as expected by `read_rows`.
+
+    This test checks that outputs from the above scenario are properly decoded
+    prior to parsing by `read_rows`.
+    """
+    txt = StringIO('abc,def\nrst,xyz')
+    conv = bytes.upper
+    res = np.loadtxt(
+            txt, dtype=np.dtype("U3"), converters=conv, delimiter=",",
+            encoding="bytes")
+    expected = np.array([['ABC', 'DEF'], ['RST', 'XYZ']])
+    assert_equal(res, expected)
+
+
+def test_read_huge_row():
+    row = "1.5, 2.5," * 50000
+    row = row[:-1] + "\n"
+    txt = StringIO(row * 2)
+    res = np.loadtxt(txt, delimiter=",", dtype=float)
+    assert_equal(res, np.tile([1.5, 2.5], (2, 50000)))
+
+
+@pytest.mark.parametrize("dtype", "edfgFDG")
+def test_huge_float(dtype):
+    # Covers a non-optimized path that is rarely taken:
+    field = "0" * 1000 + ".123456789"
+    dtype = np.dtype(dtype)
+    value = np.loadtxt([field], dtype=dtype)[()]
+    assert value == dtype.type("0.123456789")
+
+
+@pytest.mark.parametrize(
+    ("given_dtype", "expected_dtype"),
+    [
+        ("S", np.dtype("S5")),
+        ("U", np.dtype("U5")),
+    ],
+)
+def test_string_no_length_given(given_dtype, expected_dtype):
+    """
+    The given dtype is just 'S' or 'U' with no length. In these cases, the
+    length of the resulting dtype is determined by the longest string found
+    in the file.
+    """
+    txt = StringIO("AAA,5-1\nBBBBB,0-3\nC,4-9\n")
+    res = np.loadtxt(txt, dtype=given_dtype, delimiter=",")
+    expected = np.array(
+        [['AAA', '5-1'], ['BBBBB', '0-3'], ['C', '4-9']], dtype=expected_dtype
+    )
+    assert_equal(res, expected)
+    assert_equal(res.dtype, expected_dtype)
+
+
+def test_float_conversion():
+    """
+    Some tests that the conversion to float64 works as accurately as the
+    Python built-in `float` function. In a naive version of the float parser,
+    these strings resulted in values that were off by an ULP or two.
+    """
+    strings = [
+        '0.9999999999999999',
+        '9876543210.123456',
+        '5.43215432154321e+300',
+        '0.901',
+        '0.333',
+    ]
+    txt = StringIO('\n'.join(strings))
+    res = np.loadtxt(txt)
+    expected = np.array([float(s) for s in strings])
+    assert_equal(res, expected)
+
+
+def test_bool():
+    # Simple test for bool via integer
+    txt = StringIO("1, 0\n10, -1")
+    res = np.loadtxt(txt, dtype=bool, delimiter=",")
+    assert res.dtype == bool
+    assert_array_equal(res, [[True, False], [True, True]])
+    # Make sure we use only 1 and 0 on the byte level:
+    assert_array_equal(res.view(np.uint8), [[1, 0], [1, 1]])
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+@pytest.mark.parametrize("dtype", np.typecodes["AllInteger"])
+@pytest.mark.filterwarnings("error:.*integer via a float.*:DeprecationWarning")
+def test_integer_signs(dtype):
+    dtype = np.dtype(dtype)
+    assert np.loadtxt(["+2"], dtype=dtype) == 2
+    if dtype.kind == "u":
+        with pytest.raises(ValueError):
+            np.loadtxt(["-1\n"], dtype=dtype)
+    else:
+        assert np.loadtxt(["-2\n"], dtype=dtype) == -2
+
+    for sign in ["++", "+-", "--", "-+"]:
+        with pytest.raises(ValueError):
+            np.loadtxt([f"{sign}2\n"], dtype=dtype)
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+@pytest.mark.parametrize("dtype", np.typecodes["AllInteger"])
+@pytest.mark.filterwarnings("error:.*integer via a float.*:DeprecationWarning")
+def test_implicit_cast_float_to_int_fails(dtype):
+    txt = StringIO("1.0, 2.1, 3.7\n4, 5, 6")
+    with pytest.raises(ValueError):
+        np.loadtxt(txt, dtype=dtype, delimiter=",")
+
+@pytest.mark.parametrize("dtype", (np.complex64, np.complex128))
+@pytest.mark.parametrize("with_parens", (False, True))
+def test_complex_parsing(dtype, with_parens):
+    s = "(1.0-2.5j),3.75,(7+-5.0j)\n(4),(-19e2j),(0)"
+    if not with_parens:
+        s = s.replace("(", "").replace(")", "")
+
+    res = np.loadtxt(StringIO(s), dtype=dtype, delimiter=",")
+    expected = np.array(
+        [[1.0-2.5j, 3.75, 7-5j], [4.0, -1900j, 0]], dtype=dtype
+    )
+    assert_equal(res, expected)
+
+
+def test_read_from_generator():
+    def gen():
+        for i in range(4):
+            yield f"{i},{2*i},{i**2}"
+
+    res = np.loadtxt(gen(), dtype=int, delimiter=",")
+    expected = np.array([[0, 0, 0], [1, 2, 1], [2, 4, 4], [3, 6, 9]])
+    assert_equal(res, expected)
+
+
+def test_read_from_generator_multitype():
+    def gen():
+        for i in range(3):
+            yield f"{i} {i / 4}"
+
+    res = np.loadtxt(gen(), dtype="i, d", delimiter=" ")
+    expected = np.array([(0, 0.0), (1, 0.25), (2, 0.5)], dtype="i, d")
+    assert_equal(res, expected)
+
+
+def test_read_from_bad_generator():
+    def gen():
+        yield from ["1,2", b"3, 5", 12738]
+
+    with pytest.raises(
+            TypeError, match=r"non-string returned while reading data"):
+        np.loadtxt(gen(), dtype="i, i", delimiter=",")
+
+
+@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts")
+def test_object_cleanup_on_read_error():
+    sentinel = object()
+    already_read = 0
+
+    def conv(x):
+        nonlocal already_read
+        if already_read > 4999:
+            raise ValueError("failed half-way through!")
+        already_read += 1
+        return sentinel
+
+    txt = StringIO("x\n" * 10000)
+
+    with pytest.raises(ValueError, match="at row 5000, column 1"):
+        np.loadtxt(txt, dtype=object, converters={0: conv})
+
+    assert sys.getrefcount(sentinel) == 2
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+def test_character_not_bytes_compatible():
+    """Test exception when a character cannot be encoded as 'S'."""
+    data = StringIO("–")  # == \u2013
+    with pytest.raises(ValueError):
+        np.loadtxt(data, dtype="S5")
+
+
+@pytest.mark.parametrize("conv", (0, [float], ""))
+def test_invalid_converter(conv):
+    msg = (
+        "converters must be a dictionary mapping columns to converter "
+        "functions or a single callable."
+    )
+    with pytest.raises(TypeError, match=msg):
+        np.loadtxt(StringIO("1 2\n3 4"), converters=conv)
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+def test_converters_dict_raises_non_integer_key():
+    with pytest.raises(TypeError, match="keys of the converters dict"):
+        np.loadtxt(StringIO("1 2\n3 4"), converters={"a": int})
+    with pytest.raises(TypeError, match="keys of the converters dict"):
+        np.loadtxt(StringIO("1 2\n3 4"), converters={"a": int}, usecols=0)
+
+
+@pytest.mark.parametrize("bad_col_ind", (3, -3))
+def test_converters_dict_raises_non_col_key(bad_col_ind):
+    data = StringIO("1 2\n3 4")
+    with pytest.raises(ValueError, match="converter specified for column"):
+        np.loadtxt(data, converters={bad_col_ind: int})
+
+
+def test_converters_dict_raises_val_not_callable():
+    with pytest.raises(TypeError,
+                match="values of the converters dictionary must be callable"):
+        np.loadtxt(StringIO("1 2\n3 4"), converters={0: 1})
+
+
+@pytest.mark.parametrize("q", ('"', "'", "`"))
+def test_quoted_field(q):
+    txt = StringIO(
+        f"{q}alpha, x{q}, 2.5\n{q}beta, y{q}, 4.5\n{q}gamma, z{q}, 5.0\n"
+    )
+    dtype = np.dtype([('f0', 'U8'), ('f1', np.float64)])
+    expected = np.array(
+        [("alpha, x", 2.5), ("beta, y", 4.5), ("gamma, z", 5.0)], dtype=dtype
+    )
+
+    res = np.loadtxt(txt, dtype=dtype, delimiter=",", quotechar=q)
+    assert_array_equal(res, expected)
+
+
+@pytest.mark.parametrize("q", ('"', "'", "`"))
+def test_quoted_field_with_whitepace_delimiter(q):
+    txt = StringIO(
+        f"{q}alpha, x{q}     2.5\n{q}beta, y{q} 4.5\n{q}gamma, z{q}   5.0\n"
+    )
+    dtype = np.dtype([('f0', 'U8'), ('f1', np.float64)])
+    expected = np.array(
+        [("alpha, x", 2.5), ("beta, y", 4.5), ("gamma, z", 5.0)], dtype=dtype
+    )
+
+    res = np.loadtxt(txt, dtype=dtype, delimiter=None, quotechar=q)
+    assert_array_equal(res, expected)
+
+
+def test_quote_support_default():
+    """Support for quoted fields is disabled by default."""
+    txt = StringIO('"lat,long", 45, 30\n')
+    dtype = np.dtype([('f0', 'U24'), ('f1', np.float64), ('f2', np.float64)])
+
+    with pytest.raises(ValueError,
+            match="the dtype passed requires 3 columns but 4 were"):
+        np.loadtxt(txt, dtype=dtype, delimiter=",")
+
+    # Enable quoting support with non-None value for quotechar param
+    txt.seek(0)
+    expected = np.array([("lat,long", 45., 30.)], dtype=dtype)
+
+    res = np.loadtxt(txt, dtype=dtype, delimiter=",", quotechar='"')
+    assert_array_equal(res, expected)
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+def test_quotechar_multichar_error():
+    txt = StringIO("1,2\n3,4")
+    msg = r".*must be a single unicode character or None"
+    with pytest.raises(TypeError, match=msg):
+        np.loadtxt(txt, delimiter=",", quotechar="''")
+
+
+def test_comment_multichar_error_with_quote():
+    txt = StringIO("1,2\n3,4")
+    msg = (
+        "when multiple comments or a multi-character comment is given, "
+        "quotes are not supported."
+    )
+    with pytest.raises(ValueError, match=msg):
+        np.loadtxt(txt, delimiter=",", comments="123", quotechar='"')
+    with pytest.raises(ValueError, match=msg):
+        np.loadtxt(txt, delimiter=",", comments=["#", "%"], quotechar='"')
+
+    # A single character string in a tuple is unpacked though:
+    res = np.loadtxt(txt, delimiter=",", comments=("#",), quotechar="'")
+    assert_equal(res, [[1, 2], [3, 4]])
+
+
+def test_structured_dtype_with_quotes():
+    data = StringIO(
+
+            "1000;2.4;'alpha';-34\n"
+            "2000;3.1;'beta';29\n"
+            "3500;9.9;'gamma';120\n"
+            "4090;8.1;'delta';0\n"
+            "5001;4.4;'epsilon';-99\n"
+            "6543;7.8;'omega';-1\n"
+
+    )
+    dtype = np.dtype(
+        [('f0', np.uint16), ('f1', np.float64), ('f2', 'S7'), ('f3', np.int8)]
+    )
+    expected = np.array(
+        [
+            (1000, 2.4, "alpha", -34),
+            (2000, 3.1, "beta", 29),
+            (3500, 9.9, "gamma", 120),
+            (4090, 8.1, "delta", 0),
+            (5001, 4.4, "epsilon", -99),
+            (6543, 7.8, "omega", -1)
+        ],
+        dtype=dtype
+    )
+    res = np.loadtxt(data, dtype=dtype, delimiter=";", quotechar="'")
+    assert_array_equal(res, expected)
+
+
+def test_quoted_field_is_not_empty():
+    txt = StringIO('1\n\n"4"\n""')
+    expected = np.array(["1", "4", ""], dtype="U1")
+    res = np.loadtxt(txt, delimiter=",", dtype="U1", quotechar='"')
+    assert_equal(res, expected)
+
+def test_quoted_field_is_not_empty_nonstrict():
+    # Same as test_quoted_field_is_not_empty but check that we are not strict
+    # about missing closing quote (this is the `csv.reader` default also)
+    txt = StringIO('1\n\n"4"\n"')
+    expected = np.array(["1", "4", ""], dtype="U1")
+    res = np.loadtxt(txt, delimiter=",", dtype="U1", quotechar='"')
+    assert_equal(res, expected)
+
+def test_consecutive_quotechar_escaped():
+    txt = StringIO('"Hello, my name is ""Monty""!"')
+    expected = np.array('Hello, my name is "Monty"!', dtype="U40")
+    res = np.loadtxt(txt, dtype="U40", delimiter=",", quotechar='"')
+    assert_equal(res, expected)
+
+
+@pytest.mark.parametrize("data", ("", "\n\n\n", "# 1 2 3\n# 4 5 6\n"))
+@pytest.mark.parametrize("ndmin", (0, 1, 2))
+@pytest.mark.parametrize("usecols", [None, (1, 2, 3)])
+def test_warn_on_no_data(data, ndmin, usecols):
+    """Check that a UserWarning is emitted when no data is read from input."""
+    if usecols is not None:
+        expected_shape = (0, 3)
+    elif ndmin == 2:
+        expected_shape = (0, 1)  # guess a single column?!
+    else:
+        expected_shape = (0,)
+
+    txt = StringIO(data)
+    with pytest.warns(UserWarning, match="input contained no data"):
+        res = np.loadtxt(txt, ndmin=ndmin, usecols=usecols)
+    assert res.shape == expected_shape
+
+    with NamedTemporaryFile(mode="w") as fh:
+        fh.write(data)
+        fh.seek(0)
+        with pytest.warns(UserWarning, match="input contained no data"):
+            res = np.loadtxt(txt, ndmin=ndmin, usecols=usecols)
+        assert res.shape == expected_shape
+
+@pytest.mark.parametrize("skiprows", (2, 3))
+def test_warn_on_skipped_data(skiprows):
+    data = "1 2 3\n4 5 6"
+    txt = StringIO(data)
+    with pytest.warns(UserWarning, match="input contained no data"):
+        np.loadtxt(txt, skiprows=skiprows)
+
+
+@pytest.mark.parametrize(["dtype", "value"], [
+        ("i2", 0x0001), ("u2", 0x0001),
+        ("i4", 0x00010203), ("u4", 0x00010203),
+        ("i8", 0x0001020304050607), ("u8", 0x0001020304050607),
+        # The following values are constructed to lead to unique bytes:
+        ("float16", 3.07e-05),
+        ("float32", 9.2557e-41), ("complex64", 9.2557e-41+2.8622554e-29j),
+        ("float64", -1.758571353180402e-24),
+        # Here and below, the repr side-steps a small loss of precision in
+        # complex `str` in PyPy (which is probably fine, as repr works):
+        ("complex128", repr(5.406409232372729e-29-1.758571353180402e-24j)),
+        # Use integer values that fit into double.  Everything else leads to
+        # problems due to longdoubles going via double and decimal strings
+        # causing rounding errors.
+        ("longdouble", 0x01020304050607),
+        ("clongdouble", repr(0x01020304050607 + (0x00121314151617 * 1j))),
+        ("U2", "\U00010203\U000a0b0c")])
+@pytest.mark.parametrize("swap", [True, False])
+def test_byteswapping_and_unaligned(dtype, value, swap):
+    # Try to create "interesting" values within the valid unicode range:
+    dtype = np.dtype(dtype)
+    data = [f"x,{value}\n"]  # repr as PyPy `str` truncates some
+    if swap:
+        dtype = dtype.newbyteorder()
+    full_dt = np.dtype([("a", "S1"), ("b", dtype)], align=False)
+    # The above ensures that the interesting "b" field is unaligned:
+    assert full_dt.fields["b"][1] == 1
+    res = np.loadtxt(data, dtype=full_dt, delimiter=",",
+                     max_rows=1)  # max-rows prevents over-allocation
+    assert res["b"] == dtype.type(value)
+
+
+@pytest.mark.parametrize("dtype",
+        np.typecodes["AllInteger"] + "efdFD" + "?")
+def test_unicode_whitespace_stripping(dtype):
+    # Test that all numeric types (and bool) strip whitespace correctly
+    # \u202F is a narrow no-break space, `\n` is just a whitespace if quoted.
+    # Currently, skip float128 as it did not always support this and has no
+    # "custom" parsing:
+    txt = StringIO(' 3 ,"\u202F2\n"')
+    res = np.loadtxt(txt, dtype=dtype, delimiter=",", quotechar='"')
+    assert_array_equal(res, np.array([3, 2]).astype(dtype))
+
+
+@pytest.mark.parametrize("dtype", "FD")
+def test_unicode_whitespace_stripping_complex(dtype):
+    # Complex has a few extra cases since it has two components and
+    # parentheses
+    line = " 1 , 2+3j , ( 4+5j ), ( 6+-7j )  , 8j , ( 9j ) \n"
+    data = [line, line.replace(" ", "\u202F")]
+    res = np.loadtxt(data, dtype=dtype, delimiter=',')
+    assert_array_equal(res, np.array([[1, 2+3j, 4+5j, 6-7j, 8j, 9j]] * 2))
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+@pytest.mark.parametrize("dtype", "FD")
+@pytest.mark.parametrize("field",
+        ["1 +2j", "1+ 2j", "1+2 j", "1+-+3", "(1j", "(1", "(1+2j", "1+2j)"])
+def test_bad_complex(dtype, field):
+    with pytest.raises(ValueError):
+        np.loadtxt([field + "\n"], dtype=dtype, delimiter=",")
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+@pytest.mark.parametrize("dtype",
+            np.typecodes["AllInteger"] + "efgdFDG" + "?")
+def test_nul_character_error(dtype):
+    # Test that a \0 character is correctly recognized as an error even if
+    # what comes before is valid (not everything gets parsed internally).
+    if dtype.lower() == "g":
+        pytest.xfail("longdouble/clongdouble assignment may misbehave.")
+    with pytest.raises(ValueError):
+        np.loadtxt(["1\000"], dtype=dtype, delimiter=",", quotechar='"')
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+@pytest.mark.parametrize("dtype",
+        np.typecodes["AllInteger"] + "efgdFDG" + "?")
+def test_no_thousands_support(dtype):
+    # Mainly to document behaviour, Python supports thousands like 1_1.
+    # (e and G may end up using different conversion and support it, this is
+    # a bug but happens...)
+    if dtype == "e":
+        pytest.skip("half assignment currently uses Python float converter")
+    if dtype in "eG":
+        pytest.xfail("clongdouble assignment is buggy (uses `complex`?).")
+
+    assert int("1_1") == float("1_1") == complex("1_1") == 11
+    with pytest.raises(ValueError):
+        np.loadtxt(["1_1\n"], dtype=dtype)
+
+
+@pytest.mark.parametrize("data", [
+    ["1,2\n", "2\n,3\n"],
+    ["1,2\n", "2\r,3\n"]])
+def test_bad_newline_in_iterator(data):
+    # In NumPy <=1.22 this was accepted, because newlines were completely
+    # ignored when the input was an iterable.  This could be changed, but right
+    # now, we raise an error.
+    msg = "Found an unquoted embedded newline within a single line"
+    with pytest.raises(ValueError, match=msg):
+        np.loadtxt(data, delimiter=",")
+
+
+@pytest.mark.parametrize("data", [
+    ["1,2\n", "2,3\r\n"],  # a universal newline
+    ["1,2\n", "'2\n',3\n"],  # a quoted newline
+    ["1,2\n", "'2\r',3\n"],
+    ["1,2\n", "'2\r\n',3\n"],
+])
+def test_good_newline_in_iterator(data):
+    # The quoted newlines will be untransformed here, but are just whitespace.
+    res = np.loadtxt(data, delimiter=",", quotechar="'")
+    assert_array_equal(res, [[1., 2.], [2., 3.]])
+
+
+@pytest.mark.parametrize("newline", ["\n", "\r", "\r\n"])
+def test_universal_newlines_quoted(newline):
+    # Check that universal newline support within the tokenizer is not applied
+    # to quoted fields.  (note that lines must end in newline or quoted
+    # fields will not include a newline at all)
+    data = ['1,"2\n"\n', '3,"4\n', '1"\n']
+    data = [row.replace("\n", newline) for row in data]
+    res = np.loadtxt(data, dtype=object, delimiter=",", quotechar='"')
+    assert_array_equal(res, [['1', f'2{newline}'], ['3', f'4{newline}1']])
+
+
+def test_null_character():
+    # Basic tests to check that the NUL character is not special:
+    res = np.loadtxt(["1\0002\0003\n", "4\0005\0006"], delimiter="\000")
+    assert_array_equal(res, [[1, 2, 3], [4, 5, 6]])
+
+    # Also not as part of a field (avoid unicode/arrays as unicode strips \0)
+    res = np.loadtxt(["1\000,2\000,3\n", "4\000,5\000,6"],
+                     delimiter=",", dtype=object)
+    assert res.tolist() == [["1\000", "2\000", "3"], ["4\000", "5\000", "6"]]
+
+
+def test_iterator_fails_getting_next_line():
+    class BadSequence:
+        def __len__(self):
+            return 100
+
+        def __getitem__(self, item):
+            if item == 50:
+                raise RuntimeError("Bad things happened!")
+            return f"{item}, {item+1}"
+
+    with pytest.raises(RuntimeError, match="Bad things happened!"):
+        np.loadtxt(BadSequence(), dtype=int, delimiter=",")
+
+
+class TestCReaderUnitTests:
+    # These are internal tests for path that should not be possible to hit
+    # unless things go very very wrong somewhere.
+    def test_not_an_filelike(self):
+        with pytest.raises(AttributeError, match=".*read"):
+            np._core._multiarray_umath._load_from_filelike(
+                object(), dtype=np.dtype("i"), filelike=True)
+
+    def test_filelike_read_fails(self):
+        # Can only be reached if loadtxt opens the file, so it is hard to do
+        # via the public interface (although maybe not impossible considering
+        # the current "DataClass" backing).
+        class BadFileLike:
+            counter = 0
+
+            def read(self, size):
+                self.counter += 1
+                if self.counter > 20:
+                    raise RuntimeError("Bad bad bad!")
+                return "1,2,3\n"
+
+        with pytest.raises(RuntimeError, match="Bad bad bad!"):
+            np._core._multiarray_umath._load_from_filelike(
+                BadFileLike(), dtype=np.dtype("i"), filelike=True)
+
+    def test_filelike_bad_read(self):
+        # Can only be reached if loadtxt opens the file, so it is hard to do
+        # via the public interface (although maybe not impossible considering
+        # the current "DataClass" backing).
+
+        class BadFileLike:
+            counter = 0
+
+            def read(self, size):
+                return 1234  # not a string!
+
+        with pytest.raises(TypeError,
+                    match="non-string returned while reading data"):
+            np._core._multiarray_umath._load_from_filelike(
+                BadFileLike(), dtype=np.dtype("i"), filelike=True)
+
+    def test_not_an_iter(self):
+        with pytest.raises(TypeError,
+                    match="error reading from object, expected an iterable"):
+            np._core._multiarray_umath._load_from_filelike(
+                object(), dtype=np.dtype("i"), filelike=False)
+
+    def test_bad_type(self):
+        with pytest.raises(TypeError, match="internal error: dtype must"):
+            np._core._multiarray_umath._load_from_filelike(
+                object(), dtype="i", filelike=False)
+
+    def test_bad_encoding(self):
+        with pytest.raises(TypeError, match="encoding must be a unicode"):
+            np._core._multiarray_umath._load_from_filelike(
+                object(), dtype=np.dtype("i"), filelike=False, encoding=123)
+
+    @pytest.mark.parametrize("newline", ["\r", "\n", "\r\n"])
+    def test_manual_universal_newlines(self, newline):
+        # This is currently not available to users, because we should always
+        # open files with universal newlines enabled `newlines=None`.
+        # (And reading from an iterator uses slightly different code paths.)
+        # We have no real support for `newline="\r"` or `newline="\n" as the
+        # user cannot specify those options.
+        data = StringIO('0\n1\n"2\n"\n3\n4 #\n'.replace("\n", newline),
+                        newline="")
+
+        res = np._core._multiarray_umath._load_from_filelike(
+            data, dtype=np.dtype("U10"), filelike=True,
+            quote='"', comment="#", skiplines=1)
+        assert_array_equal(res[:, 0], ["1", f"2{newline}", "3", "4 "])
+
+
+def test_delimiter_comment_collision_raises():
+    with pytest.raises(TypeError, match=".*control characters.*incompatible"):
+        np.loadtxt(StringIO("1, 2, 3"), delimiter=",", comments=",")
+
+
+def test_delimiter_quotechar_collision_raises():
+    with pytest.raises(TypeError, match=".*control characters.*incompatible"):
+        np.loadtxt(StringIO("1, 2, 3"), delimiter=",", quotechar=",")
+
+
+def test_comment_quotechar_collision_raises():
+    with pytest.raises(TypeError, match=".*control characters.*incompatible"):
+        np.loadtxt(StringIO("1 2 3"), comments="#", quotechar="#")
+
+
+def test_delimiter_and_multiple_comments_collision_raises():
+    with pytest.raises(
+        TypeError, match="Comment characters.*cannot include the delimiter"
+    ):
+        np.loadtxt(StringIO("1, 2, 3"), delimiter=",", comments=["#", ","])
+
+
+@pytest.mark.parametrize(
+    "ws",
+    (
+        " ",  # space
+        "\t",  # tab
+        "\u2003",  # em
+        "\u00A0",  # non-break
+        "\u3000",  # ideographic space
+    )
+)
+def test_collision_with_default_delimiter_raises(ws):
+    with pytest.raises(TypeError, match=".*control characters.*incompatible"):
+        np.loadtxt(StringIO(f"1{ws}2{ws}3\n4{ws}5{ws}6\n"), comments=ws)
+    with pytest.raises(TypeError, match=".*control characters.*incompatible"):
+        np.loadtxt(StringIO(f"1{ws}2{ws}3\n4{ws}5{ws}6\n"), quotechar=ws)
+
+
+@pytest.mark.parametrize("nl", ("\n", "\r"))
+def test_control_character_newline_raises(nl):
+    txt = StringIO(f"1{nl}2{nl}3{nl}{nl}4{nl}5{nl}6{nl}{nl}")
+    msg = "control character.*cannot be a newline"
+    with pytest.raises(TypeError, match=msg):
+        np.loadtxt(txt, delimiter=nl)
+    with pytest.raises(TypeError, match=msg):
+        np.loadtxt(txt, comments=nl)
+    with pytest.raises(TypeError, match=msg):
+        np.loadtxt(txt, quotechar=nl)
+
+
+@pytest.mark.parametrize(
+    ("generic_data", "long_datum", "unitless_dtype", "expected_dtype"),
+    [
+        ("2012-03", "2013-01-15", "M8", "M8[D]"),  # Datetimes
+        ("spam-a-lot", "tis_but_a_scratch", "U", "U17"),  # str
+    ],
+)
+@pytest.mark.parametrize("nrows", (10, 50000, 60000))  # lt, eq, gt chunksize
+def test_parametric_unit_discovery(
+    generic_data, long_datum, unitless_dtype, expected_dtype, nrows
+):
+    """Check that the correct unit (e.g. month, day, second) is discovered from
+    the data when a user specifies a unitless datetime."""
+    # Unit should be "D" (days) due to last entry
+    data = [generic_data] * nrows + [long_datum]
+    expected = np.array(data, dtype=expected_dtype)
+    assert len(data) == nrows+1
+    assert len(data) == len(expected)
+
+    # file-like path
+    txt = StringIO("\n".join(data))
+    a = np.loadtxt(txt, dtype=unitless_dtype)
+    assert len(a) == len(expected)
+    assert a.dtype == expected.dtype
+    assert_equal(a, expected)
+
+    # file-obj path
+    fd, fname = mkstemp()
+    os.close(fd)
+    with open(fname, "w") as fh:
+        fh.write("\n".join(data)+"\n")
+    # loading the full file...
+    a = np.loadtxt(fname, dtype=unitless_dtype)
+    assert len(a) == len(expected)
+    assert a.dtype == expected.dtype
+    assert_equal(a, expected)
+    # loading half of the file...
+    a = np.loadtxt(fname, dtype=unitless_dtype, max_rows=int(nrows/2))
+    os.remove(fname)
+    assert len(a) == int(nrows/2)
+    assert_equal(a, expected[:int(nrows/2)])
+
+
+def test_str_dtype_unit_discovery_with_converter():
+    data = ["spam-a-lot"] * 60000 + ["XXXtis_but_a_scratch"]
+    expected = np.array(
+        ["spam-a-lot"] * 60000 + ["tis_but_a_scratch"], dtype="U17"
+    )
+    conv = lambda s: s.removeprefix("XXX")
+
+    # file-like path
+    txt = StringIO("\n".join(data))
+    a = np.loadtxt(txt, dtype="U", converters=conv)
+    assert a.dtype == expected.dtype
+    assert_equal(a, expected)
+
+    # file-obj path
+    fd, fname = mkstemp()
+    os.close(fd)
+    with open(fname, "w") as fh:
+        fh.write("\n".join(data))
+    a = np.loadtxt(fname, dtype="U", converters=conv)
+    os.remove(fname)
+    assert a.dtype == expected.dtype
+    assert_equal(a, expected)
+
+
+@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8),
+                    reason="PyPy bug in error formatting")
+def test_control_character_empty():
+    with pytest.raises(TypeError, match="Text reading control character must"):
+        np.loadtxt(StringIO("1 2 3"), delimiter="")
+    with pytest.raises(TypeError, match="Text reading control character must"):
+        np.loadtxt(StringIO("1 2 3"), quotechar="")
+    with pytest.raises(ValueError, match="comments cannot be an empty string"):
+        np.loadtxt(StringIO("1 2 3"), comments="")
+    with pytest.raises(ValueError, match="comments cannot be an empty string"):
+        np.loadtxt(StringIO("1 2 3"), comments=["#", ""])
+
+
+def test_control_characters_as_bytes():
+    """Byte control characters (comments, delimiter) are supported."""
+    a = np.loadtxt(StringIO("#header\n1,2,3"), comments=b"#", delimiter=b",")
+    assert_equal(a, [1, 2, 3])
+
+
+@pytest.mark.filterwarnings('ignore::UserWarning')
+def test_field_growing_cases():
+    # Test empty field appending/growing (each field still takes 1 character)
+    # to see if the final field appending does not create issues.
+    res = np.loadtxt([""], delimiter=",", dtype=bytes)
+    assert len(res) == 0
+
+    for i in range(1, 1024):
+        res = np.loadtxt(["," * i], delimiter=",", dtype=bytes, max_rows=10)
+        assert len(res) == i+1
+
+@pytest.mark.parametrize("nmax", (10000, 50000, 55000, 60000))
+def test_maxrows_exceeding_chunksize(nmax):
+    # tries to read all of the file,
+    # or less, equal, greater than _loadtxt_chunksize
+    file_length = 60000
+
+    # file-like path
+    data = ["a 0.5 1"]*file_length
+    txt = StringIO("\n".join(data))
+    res = np.loadtxt(txt, dtype=str, delimiter=" ", max_rows=nmax)
+    assert len(res) == nmax
+
+    # file-obj path
+    fd, fname = mkstemp()
+    os.close(fd)
+    with open(fname, "w") as fh:
+        fh.write("\n".join(data))
+    res = np.loadtxt(fname, dtype=str, delimiter=" ", max_rows=nmax)
+    os.remove(fname)
+    assert len(res) == nmax
+
+@pytest.mark.parametrize("nskip", (0, 10000, 12345, 50000, 67891, 100000))
+def test_skiprow_exceeding_maxrows_exceeding_chunksize(tmpdir, nskip):
+    # tries to read a file in chunks by skipping a variable amount of lines,
+    # less, equal, greater than max_rows
+    file_length = 110000
+    data = "\n".join(f"{i} a 0.5 1" for i in range(1, file_length + 1))
+    expected_length = min(60000, file_length - nskip)
+    expected = np.arange(nskip + 1, nskip + 1 + expected_length).astype(str)
+
+    # file-like path
+    txt = StringIO(data)
+    res = np.loadtxt(txt, dtype='str', delimiter=" ", skiprows=nskip, max_rows=60000)
+    assert len(res) == expected_length
+    # are the right lines read in res?
+    assert_array_equal(expected, res[:, 0])
+
+    # file-obj path
+    tmp_file = tmpdir / "test_data.txt"
+    tmp_file.write(data)
+    fname = str(tmp_file)
+    res = np.loadtxt(fname, dtype='str', delimiter=" ", skiprows=nskip, max_rows=60000)
+    assert len(res) == expected_length
+    # are the right lines read in res?
+    assert_array_equal(expected, res[:, 0])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_mixins.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_mixins.py
new file mode 100644
index 0000000000000000000000000000000000000000..632058763b7d9e826122af6834bb72d4bd970434
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_mixins.py
@@ -0,0 +1,216 @@
+import numbers
+import operator
+
+import numpy as np
+from numpy.testing import assert_, assert_equal, assert_raises
+
+
+# NOTE: This class should be kept as an exact copy of the example from the
+# docstring for NDArrayOperatorsMixin.
+
+class ArrayLike(np.lib.mixins.NDArrayOperatorsMixin):
+    def __init__(self, value):
+        self.value = np.asarray(value)
+
+    # One might also consider adding the built-in list type to this
+    # list, to support operations like np.add(array_like, list)
+    _HANDLED_TYPES = (np.ndarray, numbers.Number)
+
+    def __array_ufunc__(self, ufunc, method, *inputs, **kwargs):
+        out = kwargs.get('out', ())
+        for x in inputs + out:
+            # Only support operations with instances of _HANDLED_TYPES.
+            # Use ArrayLike instead of type(self) for isinstance to
+            # allow subclasses that don't override __array_ufunc__ to
+            # handle ArrayLike objects.
+            if not isinstance(x, self._HANDLED_TYPES + (ArrayLike,)):
+                return NotImplemented
+
+        # Defer to the implementation of the ufunc on unwrapped values.
+        inputs = tuple(x.value if isinstance(x, ArrayLike) else x
+                       for x in inputs)
+        if out:
+            kwargs['out'] = tuple(
+                x.value if isinstance(x, ArrayLike) else x
+                for x in out)
+        result = getattr(ufunc, method)(*inputs, **kwargs)
+
+        if type(result) is tuple:
+            # multiple return values
+            return tuple(type(self)(x) for x in result)
+        elif method == 'at':
+            # no return value
+            return None
+        else:
+            # one return value
+            return type(self)(result)
+
+    def __repr__(self):
+        return '%s(%r)' % (type(self).__name__, self.value)
+
+
+def wrap_array_like(result):
+    if type(result) is tuple:
+        return tuple(ArrayLike(r) for r in result)
+    else:
+        return ArrayLike(result)
+
+
+def _assert_equal_type_and_value(result, expected, err_msg=None):
+    assert_equal(type(result), type(expected), err_msg=err_msg)
+    if isinstance(result, tuple):
+        assert_equal(len(result), len(expected), err_msg=err_msg)
+        for result_item, expected_item in zip(result, expected):
+            _assert_equal_type_and_value(result_item, expected_item, err_msg)
+    else:
+        assert_equal(result.value, expected.value, err_msg=err_msg)
+        assert_equal(getattr(result.value, 'dtype', None),
+                     getattr(expected.value, 'dtype', None), err_msg=err_msg)
+
+
+_ALL_BINARY_OPERATORS = [
+    operator.lt,
+    operator.le,
+    operator.eq,
+    operator.ne,
+    operator.gt,
+    operator.ge,
+    operator.add,
+    operator.sub,
+    operator.mul,
+    operator.truediv,
+    operator.floordiv,
+    operator.mod,
+    divmod,
+    pow,
+    operator.lshift,
+    operator.rshift,
+    operator.and_,
+    operator.xor,
+    operator.or_,
+]
+
+
+class TestNDArrayOperatorsMixin:
+
+    def test_array_like_add(self):
+
+        def check(result):
+            _assert_equal_type_and_value(result, ArrayLike(0))
+
+        check(ArrayLike(0) + 0)
+        check(0 + ArrayLike(0))
+
+        check(ArrayLike(0) + np.array(0))
+        check(np.array(0) + ArrayLike(0))
+
+        check(ArrayLike(np.array(0)) + 0)
+        check(0 + ArrayLike(np.array(0)))
+
+        check(ArrayLike(np.array(0)) + np.array(0))
+        check(np.array(0) + ArrayLike(np.array(0)))
+
+    def test_inplace(self):
+        array_like = ArrayLike(np.array([0]))
+        array_like += 1
+        _assert_equal_type_and_value(array_like, ArrayLike(np.array([1])))
+
+        array = np.array([0])
+        array += ArrayLike(1)
+        _assert_equal_type_and_value(array, ArrayLike(np.array([1])))
+
+    def test_opt_out(self):
+
+        class OptOut:
+            """Object that opts out of __array_ufunc__."""
+            __array_ufunc__ = None
+
+            def __add__(self, other):
+                return self
+
+            def __radd__(self, other):
+                return self
+
+        array_like = ArrayLike(1)
+        opt_out = OptOut()
+
+        # supported operations
+        assert_(array_like + opt_out is opt_out)
+        assert_(opt_out + array_like is opt_out)
+
+        # not supported
+        with assert_raises(TypeError):
+            # don't use the Python default, array_like = array_like + opt_out
+            array_like += opt_out
+        with assert_raises(TypeError):
+            array_like - opt_out
+        with assert_raises(TypeError):
+            opt_out - array_like
+
+    def test_subclass(self):
+
+        class SubArrayLike(ArrayLike):
+            """Should take precedence over ArrayLike."""
+
+        x = ArrayLike(0)
+        y = SubArrayLike(1)
+        _assert_equal_type_and_value(x + y, y)
+        _assert_equal_type_and_value(y + x, y)
+
+    def test_object(self):
+        x = ArrayLike(0)
+        obj = object()
+        with assert_raises(TypeError):
+            x + obj
+        with assert_raises(TypeError):
+            obj + x
+        with assert_raises(TypeError):
+            x += obj
+
+    def test_unary_methods(self):
+        array = np.array([-1, 0, 1, 2])
+        array_like = ArrayLike(array)
+        for op in [operator.neg,
+                   operator.pos,
+                   abs,
+                   operator.invert]:
+            _assert_equal_type_and_value(op(array_like), ArrayLike(op(array)))
+
+    def test_forward_binary_methods(self):
+        array = np.array([-1, 0, 1, 2])
+        array_like = ArrayLike(array)
+        for op in _ALL_BINARY_OPERATORS:
+            expected = wrap_array_like(op(array, 1))
+            actual = op(array_like, 1)
+            err_msg = 'failed for operator {}'.format(op)
+            _assert_equal_type_and_value(expected, actual, err_msg=err_msg)
+
+    def test_reflected_binary_methods(self):
+        for op in _ALL_BINARY_OPERATORS:
+            expected = wrap_array_like(op(2, 1))
+            actual = op(2, ArrayLike(1))
+            err_msg = 'failed for operator {}'.format(op)
+            _assert_equal_type_and_value(expected, actual, err_msg=err_msg)
+
+    def test_matmul(self):
+        array = np.array([1, 2], dtype=np.float64)
+        array_like = ArrayLike(array)
+        expected = ArrayLike(np.float64(5))
+        _assert_equal_type_and_value(expected, np.matmul(array_like, array))
+        _assert_equal_type_and_value(
+            expected, operator.matmul(array_like, array))
+        _assert_equal_type_and_value(
+            expected, operator.matmul(array, array_like))
+
+    def test_ufunc_at(self):
+        array = ArrayLike(np.array([1, 2, 3, 4]))
+        assert_(np.negative.at(array, np.array([0, 1])) is None)
+        _assert_equal_type_and_value(array, ArrayLike([-1, -2, 3, 4]))
+
+    def test_ufunc_two_outputs(self):
+        mantissa, exponent = np.frexp(2 ** -3)
+        expected = (ArrayLike(mantissa), ArrayLike(exponent))
+        _assert_equal_type_and_value(
+            np.frexp(ArrayLike(2 ** -3)), expected)
+        _assert_equal_type_and_value(
+            np.frexp(ArrayLike(np.array(2 ** -3))), expected)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_nanfunctions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_nanfunctions.py
new file mode 100644
index 0000000000000000000000000000000000000000..c8fa7df86b24602ae5ae9cf3ad465a17b4ce20ea
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_nanfunctions.py
@@ -0,0 +1,1418 @@
+import warnings
+import pytest
+import inspect
+from functools import partial
+
+import numpy as np
+from numpy._core.numeric import normalize_axis_tuple
+from numpy.exceptions import AxisError, ComplexWarning
+from numpy.lib._nanfunctions_impl import _nan_mask, _replace_nan
+from numpy.testing import (
+    assert_, assert_equal, assert_almost_equal, assert_raises,
+    assert_raises_regex, assert_array_equal, suppress_warnings
+    )
+
+
+# Test data
+_ndat = np.array([[0.6244, np.nan, 0.2692, 0.0116, np.nan, 0.1170],
+                  [0.5351, -0.9403, np.nan, 0.2100, 0.4759, 0.2833],
+                  [np.nan, np.nan, np.nan, 0.1042, np.nan, -0.5954],
+                  [0.1610, np.nan, np.nan, 0.1859, 0.3146, np.nan]])
+
+
+# Rows of _ndat with nans removed
+_rdat = [np.array([0.6244, 0.2692, 0.0116, 0.1170]),
+         np.array([0.5351, -0.9403, 0.2100, 0.4759, 0.2833]),
+         np.array([0.1042, -0.5954]),
+         np.array([0.1610, 0.1859, 0.3146])]
+
+# Rows of _ndat with nans converted to ones
+_ndat_ones = np.array([[0.6244, 1.0, 0.2692, 0.0116, 1.0, 0.1170],
+                       [0.5351, -0.9403, 1.0, 0.2100, 0.4759, 0.2833],
+                       [1.0, 1.0, 1.0, 0.1042, 1.0, -0.5954],
+                       [0.1610, 1.0, 1.0, 0.1859, 0.3146, 1.0]])
+
+# Rows of _ndat with nans converted to zeros
+_ndat_zeros = np.array([[0.6244, 0.0, 0.2692, 0.0116, 0.0, 0.1170],
+                        [0.5351, -0.9403, 0.0, 0.2100, 0.4759, 0.2833],
+                        [0.0, 0.0, 0.0, 0.1042, 0.0, -0.5954],
+                        [0.1610, 0.0, 0.0, 0.1859, 0.3146, 0.0]])
+
+
+class TestSignatureMatch:
+    NANFUNCS = {
+        np.nanmin: np.amin,
+        np.nanmax: np.amax,
+        np.nanargmin: np.argmin,
+        np.nanargmax: np.argmax,
+        np.nansum: np.sum,
+        np.nanprod: np.prod,
+        np.nancumsum: np.cumsum,
+        np.nancumprod: np.cumprod,
+        np.nanmean: np.mean,
+        np.nanmedian: np.median,
+        np.nanpercentile: np.percentile,
+        np.nanquantile: np.quantile,
+        np.nanvar: np.var,
+        np.nanstd: np.std,
+    }
+    IDS = [k.__name__ for k in NANFUNCS]
+
+    @staticmethod
+    def get_signature(func, default="..."):
+        """Construct a signature and replace all default parameter-values."""
+        prm_list = []
+        signature = inspect.signature(func)
+        for prm in signature.parameters.values():
+            if prm.default is inspect.Parameter.empty:
+                prm_list.append(prm)
+            else:
+                prm_list.append(prm.replace(default=default))
+        return inspect.Signature(prm_list)
+
+    @pytest.mark.parametrize("nan_func,func", NANFUNCS.items(), ids=IDS)
+    def test_signature_match(self, nan_func, func):
+        # Ignore the default parameter-values as they can sometimes differ
+        # between the two functions (*e.g.* one has `False` while the other
+        # has `np._NoValue`)
+        signature = self.get_signature(func)
+        nan_signature = self.get_signature(nan_func)
+        np.testing.assert_equal(signature, nan_signature)
+
+    def test_exhaustiveness(self):
+        """Validate that all nan functions are actually tested."""
+        np.testing.assert_equal(
+            set(self.IDS), set(np.lib._nanfunctions_impl.__all__)
+        )
+
+
+class TestNanFunctions_MinMax:
+
+    nanfuncs = [np.nanmin, np.nanmax]
+    stdfuncs = [np.min, np.max]
+
+    def test_mutation(self):
+        # Check that passed array is not modified.
+        ndat = _ndat.copy()
+        for f in self.nanfuncs:
+            f(ndat)
+            assert_equal(ndat, _ndat)
+
+    def test_keepdims(self):
+        mat = np.eye(3)
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            for axis in [None, 0, 1]:
+                tgt = rf(mat, axis=axis, keepdims=True)
+                res = nf(mat, axis=axis, keepdims=True)
+                assert_(res.ndim == tgt.ndim)
+
+    def test_out(self):
+        mat = np.eye(3)
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            resout = np.zeros(3)
+            tgt = rf(mat, axis=1)
+            res = nf(mat, axis=1, out=resout)
+            assert_almost_equal(res, resout)
+            assert_almost_equal(res, tgt)
+
+    def test_dtype_from_input(self):
+        codes = 'efdgFDG'
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            for c in codes:
+                mat = np.eye(3, dtype=c)
+                tgt = rf(mat, axis=1).dtype.type
+                res = nf(mat, axis=1).dtype.type
+                assert_(res is tgt)
+                # scalar case
+                tgt = rf(mat, axis=None).dtype.type
+                res = nf(mat, axis=None).dtype.type
+                assert_(res is tgt)
+
+    def test_result_values(self):
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            tgt = [rf(d) for d in _rdat]
+            res = nf(_ndat, axis=1)
+            assert_almost_equal(res, tgt)
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    @pytest.mark.parametrize("array", [
+        np.array(np.nan),
+        np.full((3, 3), np.nan),
+    ], ids=["0d", "2d"])
+    def test_allnans(self, axis, dtype, array):
+        if axis is not None and array.ndim == 0:
+            pytest.skip("`axis != None` not supported for 0d arrays")
+
+        array = array.astype(dtype)
+        match = "All-NaN slice encountered"
+        for func in self.nanfuncs:
+            with pytest.warns(RuntimeWarning, match=match):
+                out = func(array, axis=axis)
+            assert np.isnan(out).all()
+            assert out.dtype == array.dtype
+
+    def test_masked(self):
+        mat = np.ma.fix_invalid(_ndat)
+        msk = mat._mask.copy()
+        for f in [np.nanmin]:
+            res = f(mat, axis=1)
+            tgt = f(_ndat, axis=1)
+            assert_equal(res, tgt)
+            assert_equal(mat._mask, msk)
+            assert_(not np.isinf(mat).any())
+
+    def test_scalar(self):
+        for f in self.nanfuncs:
+            assert_(f(0.) == 0.)
+
+    def test_subclass(self):
+        class MyNDArray(np.ndarray):
+            pass
+
+        # Check that it works and that type and
+        # shape are preserved
+        mine = np.eye(3).view(MyNDArray)
+        for f in self.nanfuncs:
+            res = f(mine, axis=0)
+            assert_(isinstance(res, MyNDArray))
+            assert_(res.shape == (3,))
+            res = f(mine, axis=1)
+            assert_(isinstance(res, MyNDArray))
+            assert_(res.shape == (3,))
+            res = f(mine)
+            assert_(res.shape == ())
+
+        # check that rows of nan are dealt with for subclasses (#4628)
+        mine[1] = np.nan
+        for f in self.nanfuncs:
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter('always')
+                res = f(mine, axis=0)
+                assert_(isinstance(res, MyNDArray))
+                assert_(not np.any(np.isnan(res)))
+                assert_(len(w) == 0)
+
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter('always')
+                res = f(mine, axis=1)
+                assert_(isinstance(res, MyNDArray))
+                assert_(np.isnan(res[1]) and not np.isnan(res[0])
+                        and not np.isnan(res[2]))
+                assert_(len(w) == 1, 'no warning raised')
+                assert_(issubclass(w[0].category, RuntimeWarning))
+
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter('always')
+                res = f(mine)
+                assert_(res.shape == ())
+                assert_(res != np.nan)
+                assert_(len(w) == 0)
+
+    def test_object_array(self):
+        arr = np.array([[1.0, 2.0], [np.nan, 4.0], [np.nan, np.nan]], dtype=object)
+        assert_equal(np.nanmin(arr), 1.0)
+        assert_equal(np.nanmin(arr, axis=0), [1.0, 2.0])
+
+        with warnings.catch_warnings(record=True) as w:
+            warnings.simplefilter('always')
+            # assert_equal does not work on object arrays of nan
+            assert_equal(list(np.nanmin(arr, axis=1)), [1.0, 4.0, np.nan])
+            assert_(len(w) == 1, 'no warning raised')
+            assert_(issubclass(w[0].category, RuntimeWarning))
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    def test_initial(self, dtype):
+        class MyNDArray(np.ndarray):
+            pass
+
+        ar = np.arange(9).astype(dtype)
+        ar[:5] = np.nan
+
+        for f in self.nanfuncs:
+            initial = 100 if f is np.nanmax else 0
+
+            ret1 = f(ar, initial=initial)
+            assert ret1.dtype == dtype
+            assert ret1 == initial
+
+            ret2 = f(ar.view(MyNDArray), initial=initial)
+            assert ret2.dtype == dtype
+            assert ret2 == initial
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    def test_where(self, dtype):
+        class MyNDArray(np.ndarray):
+            pass
+
+        ar = np.arange(9).reshape(3, 3).astype(dtype)
+        ar[0, :] = np.nan
+        where = np.ones_like(ar, dtype=np.bool)
+        where[:, 0] = False
+
+        for f in self.nanfuncs:
+            reference = 4 if f is np.nanmin else 8
+
+            ret1 = f(ar, where=where, initial=5)
+            assert ret1.dtype == dtype
+            assert ret1 == reference
+
+            ret2 = f(ar.view(MyNDArray), where=where, initial=5)
+            assert ret2.dtype == dtype
+            assert ret2 == reference
+
+
+class TestNanFunctions_ArgminArgmax:
+
+    nanfuncs = [np.nanargmin, np.nanargmax]
+
+    def test_mutation(self):
+        # Check that passed array is not modified.
+        ndat = _ndat.copy()
+        for f in self.nanfuncs:
+            f(ndat)
+            assert_equal(ndat, _ndat)
+
+    def test_result_values(self):
+        for f, fcmp in zip(self.nanfuncs, [np.greater, np.less]):
+            for row in _ndat:
+                with suppress_warnings() as sup:
+                    sup.filter(RuntimeWarning, "invalid value encountered in")
+                    ind = f(row)
+                    val = row[ind]
+                    # comparing with NaN is tricky as the result
+                    # is always false except for NaN != NaN
+                    assert_(not np.isnan(val))
+                    assert_(not fcmp(val, row).any())
+                    assert_(not np.equal(val, row[:ind]).any())
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    @pytest.mark.parametrize("array", [
+        np.array(np.nan),
+        np.full((3, 3), np.nan),
+    ], ids=["0d", "2d"])
+    def test_allnans(self, axis, dtype, array):
+        if axis is not None and array.ndim == 0:
+            pytest.skip("`axis != None` not supported for 0d arrays")
+
+        array = array.astype(dtype)
+        for func in self.nanfuncs:
+            with pytest.raises(ValueError, match="All-NaN slice encountered"):
+                func(array, axis=axis)
+
+    def test_empty(self):
+        mat = np.zeros((0, 3))
+        for f in self.nanfuncs:
+            for axis in [0, None]:
+                assert_raises_regex(
+                        ValueError,
+                        "attempt to get argm.. of an empty sequence",
+                        f, mat, axis=axis)
+            for axis in [1]:
+                res = f(mat, axis=axis)
+                assert_equal(res, np.zeros(0))
+
+    def test_scalar(self):
+        for f in self.nanfuncs:
+            assert_(f(0.) == 0.)
+
+    def test_subclass(self):
+        class MyNDArray(np.ndarray):
+            pass
+
+        # Check that it works and that type and
+        # shape are preserved
+        mine = np.eye(3).view(MyNDArray)
+        for f in self.nanfuncs:
+            res = f(mine, axis=0)
+            assert_(isinstance(res, MyNDArray))
+            assert_(res.shape == (3,))
+            res = f(mine, axis=1)
+            assert_(isinstance(res, MyNDArray))
+            assert_(res.shape == (3,))
+            res = f(mine)
+            assert_(res.shape == ())
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    def test_keepdims(self, dtype):
+        ar = np.arange(9).astype(dtype)
+        ar[:5] = np.nan
+
+        for f in self.nanfuncs:
+            reference = 5 if f is np.nanargmin else 8
+            ret = f(ar, keepdims=True)
+            assert ret.ndim == ar.ndim
+            assert ret == reference
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    def test_out(self, dtype):
+        ar = np.arange(9).astype(dtype)
+        ar[:5] = np.nan
+
+        for f in self.nanfuncs:
+            out = np.zeros((), dtype=np.intp)
+            reference = 5 if f is np.nanargmin else 8
+            ret = f(ar, out=out)
+            assert ret is out
+            assert ret == reference
+
+
+
+_TEST_ARRAYS = {
+    "0d": np.array(5),
+    "1d": np.array([127, 39, 93, 87, 46])
+}
+for _v in _TEST_ARRAYS.values():
+    _v.setflags(write=False)
+
+
+@pytest.mark.parametrize(
+    "dtype",
+    np.typecodes["AllInteger"] + np.typecodes["AllFloat"] + "O",
+)
+@pytest.mark.parametrize("mat", _TEST_ARRAYS.values(), ids=_TEST_ARRAYS.keys())
+class TestNanFunctions_NumberTypes:
+    nanfuncs = {
+        np.nanmin: np.min,
+        np.nanmax: np.max,
+        np.nanargmin: np.argmin,
+        np.nanargmax: np.argmax,
+        np.nansum: np.sum,
+        np.nanprod: np.prod,
+        np.nancumsum: np.cumsum,
+        np.nancumprod: np.cumprod,
+        np.nanmean: np.mean,
+        np.nanmedian: np.median,
+        np.nanvar: np.var,
+        np.nanstd: np.std,
+    }
+    nanfunc_ids = [i.__name__ for i in nanfuncs]
+
+    @pytest.mark.parametrize("nanfunc,func", nanfuncs.items(), ids=nanfunc_ids)
+    @np.errstate(over="ignore")
+    def test_nanfunc(self, mat, dtype, nanfunc, func):
+        mat = mat.astype(dtype)
+        tgt = func(mat)
+        out = nanfunc(mat)
+
+        assert_almost_equal(out, tgt)
+        if dtype == "O":
+            assert type(out) is type(tgt)
+        else:
+            assert out.dtype == tgt.dtype
+
+    @pytest.mark.parametrize(
+        "nanfunc,func",
+        [(np.nanquantile, np.quantile), (np.nanpercentile, np.percentile)],
+        ids=["nanquantile", "nanpercentile"],
+    )
+    def test_nanfunc_q(self, mat, dtype, nanfunc, func):
+        mat = mat.astype(dtype)
+        if mat.dtype.kind == "c":
+            assert_raises(TypeError, func, mat, q=1)
+            assert_raises(TypeError, nanfunc, mat, q=1)
+
+        else:
+            tgt = func(mat, q=1)
+            out = nanfunc(mat, q=1)
+
+            assert_almost_equal(out, tgt)
+
+            if dtype == "O":
+                assert type(out) is type(tgt)
+            else:
+                assert out.dtype == tgt.dtype
+
+    @pytest.mark.parametrize(
+        "nanfunc,func",
+        [(np.nanvar, np.var), (np.nanstd, np.std)],
+        ids=["nanvar", "nanstd"],
+    )
+    def test_nanfunc_ddof(self, mat, dtype, nanfunc, func):
+        mat = mat.astype(dtype)
+        tgt = func(mat, ddof=0.5)
+        out = nanfunc(mat, ddof=0.5)
+
+        assert_almost_equal(out, tgt)
+        if dtype == "O":
+            assert type(out) is type(tgt)
+        else:
+            assert out.dtype == tgt.dtype
+
+    @pytest.mark.parametrize(
+        "nanfunc", [np.nanvar, np.nanstd]
+    )
+    def test_nanfunc_correction(self, mat, dtype, nanfunc):
+        mat = mat.astype(dtype)
+        assert_almost_equal(
+            nanfunc(mat, correction=0.5), nanfunc(mat, ddof=0.5)
+        )
+
+        err_msg = "ddof and correction can't be provided simultaneously."
+        with assert_raises_regex(ValueError, err_msg):
+            nanfunc(mat, ddof=0.5, correction=0.5)
+
+        with assert_raises_regex(ValueError, err_msg):
+            nanfunc(mat, ddof=1, correction=0)
+
+
+class SharedNanFunctionsTestsMixin:
+    def test_mutation(self):
+        # Check that passed array is not modified.
+        ndat = _ndat.copy()
+        for f in self.nanfuncs:
+            f(ndat)
+            assert_equal(ndat, _ndat)
+
+    def test_keepdims(self):
+        mat = np.eye(3)
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            for axis in [None, 0, 1]:
+                tgt = rf(mat, axis=axis, keepdims=True)
+                res = nf(mat, axis=axis, keepdims=True)
+                assert_(res.ndim == tgt.ndim)
+
+    def test_out(self):
+        mat = np.eye(3)
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            resout = np.zeros(3)
+            tgt = rf(mat, axis=1)
+            res = nf(mat, axis=1, out=resout)
+            assert_almost_equal(res, resout)
+            assert_almost_equal(res, tgt)
+
+    def test_dtype_from_dtype(self):
+        mat = np.eye(3)
+        codes = 'efdgFDG'
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            for c in codes:
+                with suppress_warnings() as sup:
+                    if nf in {np.nanstd, np.nanvar} and c in 'FDG':
+                        # Giving the warning is a small bug, see gh-8000
+                        sup.filter(ComplexWarning)
+                    tgt = rf(mat, dtype=np.dtype(c), axis=1).dtype.type
+                    res = nf(mat, dtype=np.dtype(c), axis=1).dtype.type
+                    assert_(res is tgt)
+                    # scalar case
+                    tgt = rf(mat, dtype=np.dtype(c), axis=None).dtype.type
+                    res = nf(mat, dtype=np.dtype(c), axis=None).dtype.type
+                    assert_(res is tgt)
+
+    def test_dtype_from_char(self):
+        mat = np.eye(3)
+        codes = 'efdgFDG'
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            for c in codes:
+                with suppress_warnings() as sup:
+                    if nf in {np.nanstd, np.nanvar} and c in 'FDG':
+                        # Giving the warning is a small bug, see gh-8000
+                        sup.filter(ComplexWarning)
+                    tgt = rf(mat, dtype=c, axis=1).dtype.type
+                    res = nf(mat, dtype=c, axis=1).dtype.type
+                    assert_(res is tgt)
+                    # scalar case
+                    tgt = rf(mat, dtype=c, axis=None).dtype.type
+                    res = nf(mat, dtype=c, axis=None).dtype.type
+                    assert_(res is tgt)
+
+    def test_dtype_from_input(self):
+        codes = 'efdgFDG'
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            for c in codes:
+                mat = np.eye(3, dtype=c)
+                tgt = rf(mat, axis=1).dtype.type
+                res = nf(mat, axis=1).dtype.type
+                assert_(res is tgt, "res %s, tgt %s" % (res, tgt))
+                # scalar case
+                tgt = rf(mat, axis=None).dtype.type
+                res = nf(mat, axis=None).dtype.type
+                assert_(res is tgt)
+
+    def test_result_values(self):
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            tgt = [rf(d) for d in _rdat]
+            res = nf(_ndat, axis=1)
+            assert_almost_equal(res, tgt)
+
+    def test_scalar(self):
+        for f in self.nanfuncs:
+            assert_(f(0.) == 0.)
+
+    def test_subclass(self):
+        class MyNDArray(np.ndarray):
+            pass
+
+        # Check that it works and that type and
+        # shape are preserved
+        array = np.eye(3)
+        mine = array.view(MyNDArray)
+        for f in self.nanfuncs:
+            expected_shape = f(array, axis=0).shape
+            res = f(mine, axis=0)
+            assert_(isinstance(res, MyNDArray))
+            assert_(res.shape == expected_shape)
+            expected_shape = f(array, axis=1).shape
+            res = f(mine, axis=1)
+            assert_(isinstance(res, MyNDArray))
+            assert_(res.shape == expected_shape)
+            expected_shape = f(array).shape
+            res = f(mine)
+            assert_(isinstance(res, MyNDArray))
+            assert_(res.shape == expected_shape)
+
+
+class TestNanFunctions_SumProd(SharedNanFunctionsTestsMixin):
+
+    nanfuncs = [np.nansum, np.nanprod]
+    stdfuncs = [np.sum, np.prod]
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    @pytest.mark.parametrize("array", [
+        np.array(np.nan),
+        np.full((3, 3), np.nan),
+    ], ids=["0d", "2d"])
+    def test_allnans(self, axis, dtype, array):
+        if axis is not None and array.ndim == 0:
+            pytest.skip("`axis != None` not supported for 0d arrays")
+
+        array = array.astype(dtype)
+        for func, identity in zip(self.nanfuncs, [0, 1]):
+            out = func(array, axis=axis)
+            assert np.all(out == identity)
+            assert out.dtype == array.dtype
+
+    def test_empty(self):
+        for f, tgt_value in zip([np.nansum, np.nanprod], [0, 1]):
+            mat = np.zeros((0, 3))
+            tgt = [tgt_value]*3
+            res = f(mat, axis=0)
+            assert_equal(res, tgt)
+            tgt = []
+            res = f(mat, axis=1)
+            assert_equal(res, tgt)
+            tgt = tgt_value
+            res = f(mat, axis=None)
+            assert_equal(res, tgt)
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    def test_initial(self, dtype):
+        ar = np.arange(9).astype(dtype)
+        ar[:5] = np.nan
+
+        for f in self.nanfuncs:
+            reference = 28 if f is np.nansum else 3360
+            ret = f(ar, initial=2)
+            assert ret.dtype == dtype
+            assert ret == reference
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    def test_where(self, dtype):
+        ar = np.arange(9).reshape(3, 3).astype(dtype)
+        ar[0, :] = np.nan
+        where = np.ones_like(ar, dtype=np.bool)
+        where[:, 0] = False
+
+        for f in self.nanfuncs:
+            reference = 26 if f is np.nansum else 2240
+            ret = f(ar, where=where, initial=2)
+            assert ret.dtype == dtype
+            assert ret == reference
+
+
+class TestNanFunctions_CumSumProd(SharedNanFunctionsTestsMixin):
+
+    nanfuncs = [np.nancumsum, np.nancumprod]
+    stdfuncs = [np.cumsum, np.cumprod]
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    @pytest.mark.parametrize("array", [
+        np.array(np.nan),
+        np.full((3, 3), np.nan)
+    ], ids=["0d", "2d"])
+    def test_allnans(self, axis, dtype, array):
+        if axis is not None and array.ndim == 0:
+            pytest.skip("`axis != None` not supported for 0d arrays")
+
+        array = array.astype(dtype)
+        for func, identity in zip(self.nanfuncs, [0, 1]):
+            out = func(array)
+            assert np.all(out == identity)
+            assert out.dtype == array.dtype
+
+    def test_empty(self):
+        for f, tgt_value in zip(self.nanfuncs, [0, 1]):
+            mat = np.zeros((0, 3))
+            tgt = tgt_value*np.ones((0, 3))
+            res = f(mat, axis=0)
+            assert_equal(res, tgt)
+            tgt = mat
+            res = f(mat, axis=1)
+            assert_equal(res, tgt)
+            tgt = np.zeros(0)
+            res = f(mat, axis=None)
+            assert_equal(res, tgt)
+
+    def test_keepdims(self):
+        for f, g in zip(self.nanfuncs, self.stdfuncs):
+            mat = np.eye(3)
+            for axis in [None, 0, 1]:
+                tgt = f(mat, axis=axis, out=None)
+                res = g(mat, axis=axis, out=None)
+                assert_(res.ndim == tgt.ndim)
+
+        for f in self.nanfuncs:
+            d = np.ones((3, 5, 7, 11))
+            # Randomly set some elements to NaN:
+            rs = np.random.RandomState(0)
+            d[rs.rand(*d.shape) < 0.5] = np.nan
+            res = f(d, axis=None)
+            assert_equal(res.shape, (1155,))
+            for axis in np.arange(4):
+                res = f(d, axis=axis)
+                assert_equal(res.shape, (3, 5, 7, 11))
+
+    def test_result_values(self):
+        for axis in (-2, -1, 0, 1, None):
+            tgt = np.cumprod(_ndat_ones, axis=axis)
+            res = np.nancumprod(_ndat, axis=axis)
+            assert_almost_equal(res, tgt)
+            tgt = np.cumsum(_ndat_zeros,axis=axis)
+            res = np.nancumsum(_ndat, axis=axis)
+            assert_almost_equal(res, tgt)
+
+    def test_out(self):
+        mat = np.eye(3)
+        for nf, rf in zip(self.nanfuncs, self.stdfuncs):
+            resout = np.eye(3)
+            for axis in (-2, -1, 0, 1):
+                tgt = rf(mat, axis=axis)
+                res = nf(mat, axis=axis, out=resout)
+                assert_almost_equal(res, resout)
+                assert_almost_equal(res, tgt)
+
+
+class TestNanFunctions_MeanVarStd(SharedNanFunctionsTestsMixin):
+
+    nanfuncs = [np.nanmean, np.nanvar, np.nanstd]
+    stdfuncs = [np.mean, np.var, np.std]
+
+    def test_dtype_error(self):
+        for f in self.nanfuncs:
+            for dtype in [np.bool, np.int_, np.object_]:
+                assert_raises(TypeError, f, _ndat, axis=1, dtype=dtype)
+
+    def test_out_dtype_error(self):
+        for f in self.nanfuncs:
+            for dtype in [np.bool, np.int_, np.object_]:
+                out = np.empty(_ndat.shape[0], dtype=dtype)
+                assert_raises(TypeError, f, _ndat, axis=1, out=out)
+
+    def test_ddof(self):
+        nanfuncs = [np.nanvar, np.nanstd]
+        stdfuncs = [np.var, np.std]
+        for nf, rf in zip(nanfuncs, stdfuncs):
+            for ddof in [0, 1]:
+                tgt = [rf(d, ddof=ddof) for d in _rdat]
+                res = nf(_ndat, axis=1, ddof=ddof)
+                assert_almost_equal(res, tgt)
+
+    def test_ddof_too_big(self):
+        nanfuncs = [np.nanvar, np.nanstd]
+        stdfuncs = [np.var, np.std]
+        dsize = [len(d) for d in _rdat]
+        for nf, rf in zip(nanfuncs, stdfuncs):
+            for ddof in range(5):
+                with suppress_warnings() as sup:
+                    sup.record(RuntimeWarning)
+                    sup.filter(ComplexWarning)
+                    tgt = [ddof >= d for d in dsize]
+                    res = nf(_ndat, axis=1, ddof=ddof)
+                    assert_equal(np.isnan(res), tgt)
+                    if any(tgt):
+                        assert_(len(sup.log) == 1)
+                    else:
+                        assert_(len(sup.log) == 0)
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    @pytest.mark.parametrize("array", [
+        np.array(np.nan),
+        np.full((3, 3), np.nan),
+    ], ids=["0d", "2d"])
+    def test_allnans(self, axis, dtype, array):
+        if axis is not None and array.ndim == 0:
+            pytest.skip("`axis != None` not supported for 0d arrays")
+
+        array = array.astype(dtype)
+        match = "(Degrees of freedom <= 0 for slice.)|(Mean of empty slice)"
+        for func in self.nanfuncs:
+            with pytest.warns(RuntimeWarning, match=match):
+                out = func(array, axis=axis)
+            assert np.isnan(out).all()
+
+            # `nanvar` and `nanstd` convert complex inputs to their
+            # corresponding floating dtype
+            if func is np.nanmean:
+                assert out.dtype == array.dtype
+            else:
+                assert out.dtype == np.abs(array).dtype
+
+    def test_empty(self):
+        mat = np.zeros((0, 3))
+        for f in self.nanfuncs:
+            for axis in [0, None]:
+                with warnings.catch_warnings(record=True) as w:
+                    warnings.simplefilter('always')
+                    assert_(np.isnan(f(mat, axis=axis)).all())
+                    assert_(len(w) == 1)
+                    assert_(issubclass(w[0].category, RuntimeWarning))
+            for axis in [1]:
+                with warnings.catch_warnings(record=True) as w:
+                    warnings.simplefilter('always')
+                    assert_equal(f(mat, axis=axis), np.zeros([]))
+                    assert_(len(w) == 0)
+
+    @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"])
+    def test_where(self, dtype):
+        ar = np.arange(9).reshape(3, 3).astype(dtype)
+        ar[0, :] = np.nan
+        where = np.ones_like(ar, dtype=np.bool)
+        where[:, 0] = False
+
+        for f, f_std in zip(self.nanfuncs, self.stdfuncs):
+            reference = f_std(ar[where][2:])
+            dtype_reference = dtype if f is np.nanmean else ar.real.dtype
+
+            ret = f(ar, where=where)
+            assert ret.dtype == dtype_reference
+            np.testing.assert_allclose(ret, reference)
+
+    def test_nanstd_with_mean_keyword(self):
+        # Setting the seed to make the test reproducible
+        rng = np.random.RandomState(1234)
+        A = rng.randn(10, 20, 5) + 0.5
+        A[:, 5, :] = np.nan
+
+        mean_out = np.zeros((10, 1, 5))
+        std_out = np.zeros((10, 1, 5))
+
+        mean = np.nanmean(A,
+                       out=mean_out,
+                       axis=1,
+                       keepdims=True)
+
+        # The returned  object should be the object specified during calling
+        assert mean_out is mean
+
+        std = np.nanstd(A,
+                     out=std_out,
+                     axis=1,
+                     keepdims=True,
+                     mean=mean)
+
+        # The returned  object should be the object specified during calling
+        assert std_out is std
+
+        # Shape of returned mean and std should be same
+        assert std.shape == mean.shape
+        assert std.shape == (10, 1, 5)
+
+        # Output should be the same as from the individual algorithms
+        std_old = np.nanstd(A, axis=1, keepdims=True)
+
+        assert std_old.shape == mean.shape
+        assert_almost_equal(std, std_old)
+
+_TIME_UNITS = (
+    "Y", "M", "W", "D", "h", "m", "s", "ms", "us", "ns", "ps", "fs", "as"
+)
+
+# All `inexact` + `timdelta64` type codes
+_TYPE_CODES = list(np.typecodes["AllFloat"])
+_TYPE_CODES += [f"m8[{unit}]" for unit in _TIME_UNITS]
+
+
+class TestNanFunctions_Median:
+
+    def test_mutation(self):
+        # Check that passed array is not modified.
+        ndat = _ndat.copy()
+        np.nanmedian(ndat)
+        assert_equal(ndat, _ndat)
+
+    def test_keepdims(self):
+        mat = np.eye(3)
+        for axis in [None, 0, 1]:
+            tgt = np.median(mat, axis=axis, out=None, overwrite_input=False)
+            res = np.nanmedian(mat, axis=axis, out=None, overwrite_input=False)
+            assert_(res.ndim == tgt.ndim)
+
+        d = np.ones((3, 5, 7, 11))
+        # Randomly set some elements to NaN:
+        w = np.random.random((4, 200)) * np.array(d.shape)[:, None]
+        w = w.astype(np.intp)
+        d[tuple(w)] = np.nan
+        with suppress_warnings() as sup:
+            sup.filter(RuntimeWarning)
+            res = np.nanmedian(d, axis=None, keepdims=True)
+            assert_equal(res.shape, (1, 1, 1, 1))
+            res = np.nanmedian(d, axis=(0, 1), keepdims=True)
+            assert_equal(res.shape, (1, 1, 7, 11))
+            res = np.nanmedian(d, axis=(0, 3), keepdims=True)
+            assert_equal(res.shape, (1, 5, 7, 1))
+            res = np.nanmedian(d, axis=(1,), keepdims=True)
+            assert_equal(res.shape, (3, 1, 7, 11))
+            res = np.nanmedian(d, axis=(0, 1, 2, 3), keepdims=True)
+            assert_equal(res.shape, (1, 1, 1, 1))
+            res = np.nanmedian(d, axis=(0, 1, 3), keepdims=True)
+            assert_equal(res.shape, (1, 1, 7, 1))
+
+    @pytest.mark.parametrize(
+        argnames='axis',
+        argvalues=[
+            None,
+            1,
+            (1, ),
+            (0, 1),
+            (-3, -1),
+        ]
+    )
+    @pytest.mark.filterwarnings("ignore:All-NaN slice:RuntimeWarning")
+    def test_keepdims_out(self, axis):
+        d = np.ones((3, 5, 7, 11))
+        # Randomly set some elements to NaN:
+        w = np.random.random((4, 200)) * np.array(d.shape)[:, None]
+        w = w.astype(np.intp)
+        d[tuple(w)] = np.nan
+        if axis is None:
+            shape_out = (1,) * d.ndim
+        else:
+            axis_norm = normalize_axis_tuple(axis, d.ndim)
+            shape_out = tuple(
+                1 if i in axis_norm else d.shape[i] for i in range(d.ndim))
+        out = np.empty(shape_out)
+        result = np.nanmedian(d, axis=axis, keepdims=True, out=out)
+        assert result is out
+        assert_equal(result.shape, shape_out)
+
+    def test_out(self):
+        mat = np.random.rand(3, 3)
+        nan_mat = np.insert(mat, [0, 2], np.nan, axis=1)
+        resout = np.zeros(3)
+        tgt = np.median(mat, axis=1)
+        res = np.nanmedian(nan_mat, axis=1, out=resout)
+        assert_almost_equal(res, resout)
+        assert_almost_equal(res, tgt)
+        # 0-d output:
+        resout = np.zeros(())
+        tgt = np.median(mat, axis=None)
+        res = np.nanmedian(nan_mat, axis=None, out=resout)
+        assert_almost_equal(res, resout)
+        assert_almost_equal(res, tgt)
+        res = np.nanmedian(nan_mat, axis=(0, 1), out=resout)
+        assert_almost_equal(res, resout)
+        assert_almost_equal(res, tgt)
+
+    def test_small_large(self):
+        # test the small and large code paths, current cutoff 400 elements
+        for s in [5, 20, 51, 200, 1000]:
+            d = np.random.randn(4, s)
+            # Randomly set some elements to NaN:
+            w = np.random.randint(0, d.size, size=d.size // 5)
+            d.ravel()[w] = np.nan
+            d[:,0] = 1.  # ensure at least one good value
+            # use normal median without nans to compare
+            tgt = []
+            for x in d:
+                nonan = np.compress(~np.isnan(x), x)
+                tgt.append(np.median(nonan, overwrite_input=True))
+
+            assert_array_equal(np.nanmedian(d, axis=-1), tgt)
+
+    def test_result_values(self):
+            tgt = [np.median(d) for d in _rdat]
+            res = np.nanmedian(_ndat, axis=1)
+            assert_almost_equal(res, tgt)
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", _TYPE_CODES)
+    def test_allnans(self, dtype, axis):
+        mat = np.full((3, 3), np.nan).astype(dtype)
+        with suppress_warnings() as sup:
+            sup.record(RuntimeWarning)
+
+            output = np.nanmedian(mat, axis=axis)
+            assert output.dtype == mat.dtype
+            assert np.isnan(output).all()
+
+            if axis is None:
+                assert_(len(sup.log) == 1)
+            else:
+                assert_(len(sup.log) == 3)
+
+            # Check scalar
+            scalar = np.array(np.nan).astype(dtype)[()]
+            output_scalar = np.nanmedian(scalar)
+            assert output_scalar.dtype == scalar.dtype
+            assert np.isnan(output_scalar)
+
+            if axis is None:
+                assert_(len(sup.log) == 2)
+            else:
+                assert_(len(sup.log) == 4)
+
+    def test_empty(self):
+        mat = np.zeros((0, 3))
+        for axis in [0, None]:
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter('always')
+                assert_(np.isnan(np.nanmedian(mat, axis=axis)).all())
+                assert_(len(w) == 1)
+                assert_(issubclass(w[0].category, RuntimeWarning))
+        for axis in [1]:
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter('always')
+                assert_equal(np.nanmedian(mat, axis=axis), np.zeros([]))
+                assert_(len(w) == 0)
+
+    def test_scalar(self):
+        assert_(np.nanmedian(0.) == 0.)
+
+    def test_extended_axis_invalid(self):
+        d = np.ones((3, 5, 7, 11))
+        assert_raises(AxisError, np.nanmedian, d, axis=-5)
+        assert_raises(AxisError, np.nanmedian, d, axis=(0, -5))
+        assert_raises(AxisError, np.nanmedian, d, axis=4)
+        assert_raises(AxisError, np.nanmedian, d, axis=(0, 4))
+        assert_raises(ValueError, np.nanmedian, d, axis=(1, 1))
+
+    def test_float_special(self):
+        with suppress_warnings() as sup:
+            sup.filter(RuntimeWarning)
+            for inf in [np.inf, -np.inf]:
+                a = np.array([[inf,  np.nan], [np.nan, np.nan]])
+                assert_equal(np.nanmedian(a, axis=0), [inf,  np.nan])
+                assert_equal(np.nanmedian(a, axis=1), [inf,  np.nan])
+                assert_equal(np.nanmedian(a), inf)
+
+                # minimum fill value check
+                a = np.array([[np.nan, np.nan, inf],
+                             [np.nan, np.nan, inf]])
+                assert_equal(np.nanmedian(a), inf)
+                assert_equal(np.nanmedian(a, axis=0), [np.nan, np.nan, inf])
+                assert_equal(np.nanmedian(a, axis=1), inf)
+
+                # no mask path
+                a = np.array([[inf, inf], [inf, inf]])
+                assert_equal(np.nanmedian(a, axis=1), inf)
+
+                a = np.array([[inf, 7, -inf, -9],
+                              [-10, np.nan, np.nan, 5],
+                              [4, np.nan, np.nan, inf]],
+                              dtype=np.float32)
+                if inf > 0:
+                    assert_equal(np.nanmedian(a, axis=0), [4., 7., -inf, 5.])
+                    assert_equal(np.nanmedian(a), 4.5)
+                else:
+                    assert_equal(np.nanmedian(a, axis=0), [-10., 7., -inf, -9.])
+                    assert_equal(np.nanmedian(a), -2.5)
+                assert_equal(np.nanmedian(a, axis=-1), [-1., -2.5, inf])
+
+                for i in range(0, 10):
+                    for j in range(1, 10):
+                        a = np.array([([np.nan] * i) + ([inf] * j)] * 2)
+                        assert_equal(np.nanmedian(a), inf)
+                        assert_equal(np.nanmedian(a, axis=1), inf)
+                        assert_equal(np.nanmedian(a, axis=0),
+                                     ([np.nan] * i) + [inf] * j)
+
+                        a = np.array([([np.nan] * i) + ([-inf] * j)] * 2)
+                        assert_equal(np.nanmedian(a), -inf)
+                        assert_equal(np.nanmedian(a, axis=1), -inf)
+                        assert_equal(np.nanmedian(a, axis=0),
+                                     ([np.nan] * i) + [-inf] * j)
+
+
+class TestNanFunctions_Percentile:
+
+    def test_mutation(self):
+        # Check that passed array is not modified.
+        ndat = _ndat.copy()
+        np.nanpercentile(ndat, 30)
+        assert_equal(ndat, _ndat)
+
+    def test_keepdims(self):
+        mat = np.eye(3)
+        for axis in [None, 0, 1]:
+            tgt = np.percentile(mat, 70, axis=axis, out=None,
+                                overwrite_input=False)
+            res = np.nanpercentile(mat, 70, axis=axis, out=None,
+                                   overwrite_input=False)
+            assert_(res.ndim == tgt.ndim)
+
+        d = np.ones((3, 5, 7, 11))
+        # Randomly set some elements to NaN:
+        w = np.random.random((4, 200)) * np.array(d.shape)[:, None]
+        w = w.astype(np.intp)
+        d[tuple(w)] = np.nan
+        with suppress_warnings() as sup:
+            sup.filter(RuntimeWarning)
+            res = np.nanpercentile(d, 90, axis=None, keepdims=True)
+            assert_equal(res.shape, (1, 1, 1, 1))
+            res = np.nanpercentile(d, 90, axis=(0, 1), keepdims=True)
+            assert_equal(res.shape, (1, 1, 7, 11))
+            res = np.nanpercentile(d, 90, axis=(0, 3), keepdims=True)
+            assert_equal(res.shape, (1, 5, 7, 1))
+            res = np.nanpercentile(d, 90, axis=(1,), keepdims=True)
+            assert_equal(res.shape, (3, 1, 7, 11))
+            res = np.nanpercentile(d, 90, axis=(0, 1, 2, 3), keepdims=True)
+            assert_equal(res.shape, (1, 1, 1, 1))
+            res = np.nanpercentile(d, 90, axis=(0, 1, 3), keepdims=True)
+            assert_equal(res.shape, (1, 1, 7, 1))
+
+    @pytest.mark.parametrize('q', [7, [1, 7]])
+    @pytest.mark.parametrize(
+        argnames='axis',
+        argvalues=[
+            None,
+            1,
+            (1,),
+            (0, 1),
+            (-3, -1),
+        ]
+    )
+    @pytest.mark.filterwarnings("ignore:All-NaN slice:RuntimeWarning")
+    def test_keepdims_out(self, q, axis):
+        d = np.ones((3, 5, 7, 11))
+        # Randomly set some elements to NaN:
+        w = np.random.random((4, 200)) * np.array(d.shape)[:, None]
+        w = w.astype(np.intp)
+        d[tuple(w)] = np.nan
+        if axis is None:
+            shape_out = (1,) * d.ndim
+        else:
+            axis_norm = normalize_axis_tuple(axis, d.ndim)
+            shape_out = tuple(
+                1 if i in axis_norm else d.shape[i] for i in range(d.ndim))
+        shape_out = np.shape(q) + shape_out
+
+        out = np.empty(shape_out)
+        result = np.nanpercentile(d, q, axis=axis, keepdims=True, out=out)
+        assert result is out
+        assert_equal(result.shape, shape_out)
+
+    @pytest.mark.parametrize("weighted", [False, True])
+    def test_out(self, weighted):
+        mat = np.random.rand(3, 3)
+        nan_mat = np.insert(mat, [0, 2], np.nan, axis=1)
+        resout = np.zeros(3)
+        if weighted:
+            w_args = {"weights": np.ones_like(mat), "method": "inverted_cdf"}
+            nan_w_args = {
+                "weights": np.ones_like(nan_mat), "method": "inverted_cdf"
+            }
+        else:
+            w_args = dict()
+            nan_w_args = dict()
+        tgt = np.percentile(mat, 42, axis=1, **w_args)
+        res = np.nanpercentile(nan_mat, 42, axis=1, out=resout, **nan_w_args)
+        assert_almost_equal(res, resout)
+        assert_almost_equal(res, tgt)
+        # 0-d output:
+        resout = np.zeros(())
+        tgt = np.percentile(mat, 42, axis=None, **w_args)
+        res = np.nanpercentile(
+            nan_mat, 42, axis=None, out=resout, **nan_w_args
+        )
+        assert_almost_equal(res, resout)
+        assert_almost_equal(res, tgt)
+        res = np.nanpercentile(
+            nan_mat, 42, axis=(0, 1), out=resout, **nan_w_args
+        )
+        assert_almost_equal(res, resout)
+        assert_almost_equal(res, tgt)
+
+    def test_complex(self):
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G')
+        assert_raises(TypeError, np.nanpercentile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D')
+        assert_raises(TypeError, np.nanpercentile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F')
+        assert_raises(TypeError, np.nanpercentile, arr_c, 0.5)
+
+    @pytest.mark.parametrize("weighted", [False, True])
+    @pytest.mark.parametrize("use_out", [False, True])
+    def test_result_values(self, weighted, use_out):
+        if weighted:
+            percentile = partial(np.percentile, method="inverted_cdf")
+            nanpercentile = partial(np.nanpercentile, method="inverted_cdf")
+
+            def gen_weights(d):
+                return np.ones_like(d)
+
+        else:
+            percentile = np.percentile
+            nanpercentile = np.nanpercentile
+
+            def gen_weights(d):
+                return None
+
+        tgt = [percentile(d, 28, weights=gen_weights(d)) for d in _rdat]
+        out = np.empty_like(tgt) if use_out else None
+        res = nanpercentile(_ndat, 28, axis=1,
+                            weights=gen_weights(_ndat), out=out)
+        assert_almost_equal(res, tgt)
+        # Transpose the array to fit the output convention of numpy.percentile
+        tgt = np.transpose([percentile(d, (28, 98), weights=gen_weights(d))
+                            for d in _rdat])
+        out = np.empty_like(tgt) if use_out else None
+        res = nanpercentile(_ndat, (28, 98), axis=1,
+                            weights=gen_weights(_ndat), out=out)
+        assert_almost_equal(res, tgt)
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", np.typecodes["Float"])
+    @pytest.mark.parametrize("array", [
+        np.array(np.nan),
+        np.full((3, 3), np.nan),
+    ], ids=["0d", "2d"])
+    def test_allnans(self, axis, dtype, array):
+        if axis is not None and array.ndim == 0:
+            pytest.skip("`axis != None` not supported for 0d arrays")
+
+        array = array.astype(dtype)
+        with pytest.warns(RuntimeWarning, match="All-NaN slice encountered"):
+            out = np.nanpercentile(array, 60, axis=axis)
+        assert np.isnan(out).all()
+        assert out.dtype == array.dtype
+
+    def test_empty(self):
+        mat = np.zeros((0, 3))
+        for axis in [0, None]:
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter('always')
+                assert_(np.isnan(np.nanpercentile(mat, 40, axis=axis)).all())
+                assert_(len(w) == 1)
+                assert_(issubclass(w[0].category, RuntimeWarning))
+        for axis in [1]:
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter('always')
+                assert_equal(np.nanpercentile(mat, 40, axis=axis), np.zeros([]))
+                assert_(len(w) == 0)
+
+    def test_scalar(self):
+        assert_equal(np.nanpercentile(0., 100), 0.)
+        a = np.arange(6)
+        r = np.nanpercentile(a, 50, axis=0)
+        assert_equal(r, 2.5)
+        assert_(np.isscalar(r))
+
+    def test_extended_axis_invalid(self):
+        d = np.ones((3, 5, 7, 11))
+        assert_raises(AxisError, np.nanpercentile, d, q=5, axis=-5)
+        assert_raises(AxisError, np.nanpercentile, d, q=5, axis=(0, -5))
+        assert_raises(AxisError, np.nanpercentile, d, q=5, axis=4)
+        assert_raises(AxisError, np.nanpercentile, d, q=5, axis=(0, 4))
+        assert_raises(ValueError, np.nanpercentile, d, q=5, axis=(1, 1))
+
+    def test_multiple_percentiles(self):
+        perc = [50, 100]
+        mat = np.ones((4, 3))
+        nan_mat = np.nan * mat
+        # For checking consistency in higher dimensional case
+        large_mat = np.ones((3, 4, 5))
+        large_mat[:, 0:2:4, :] = 0
+        large_mat[:, :, 3:] *= 2
+        for axis in [None, 0, 1]:
+            for keepdim in [False, True]:
+                with suppress_warnings() as sup:
+                    sup.filter(RuntimeWarning, "All-NaN slice encountered")
+                    val = np.percentile(mat, perc, axis=axis, keepdims=keepdim)
+                    nan_val = np.nanpercentile(nan_mat, perc, axis=axis,
+                                               keepdims=keepdim)
+                    assert_equal(nan_val.shape, val.shape)
+
+                    val = np.percentile(large_mat, perc, axis=axis,
+                                        keepdims=keepdim)
+                    nan_val = np.nanpercentile(large_mat, perc, axis=axis,
+                                               keepdims=keepdim)
+                    assert_equal(nan_val, val)
+
+        megamat = np.ones((3, 4, 5, 6))
+        assert_equal(
+            np.nanpercentile(megamat, perc, axis=(1, 2)).shape, (2, 3, 6)
+        )
+
+    @pytest.mark.parametrize("nan_weight", [0, 1, 2, 3, 1e200])
+    def test_nan_value_with_weight(self, nan_weight):
+        x = [1, np.nan, 2, 3]
+        result = np.float64(2.0)
+        q_unweighted = np.nanpercentile(x, 50, method="inverted_cdf")
+        assert_equal(q_unweighted, result)
+
+        # The weight value at the nan position should not matter.
+        w = [1.0, nan_weight, 1.0, 1.0]
+        q_weighted = np.nanpercentile(x, 50, weights=w, method="inverted_cdf")
+        assert_equal(q_weighted, result)
+
+    @pytest.mark.parametrize("axis", [0, 1, 2])
+    def test_nan_value_with_weight_ndim(self, axis):
+        # Create a multi-dimensional array to test
+        np.random.seed(1)
+        x_no_nan = np.random.random(size=(100, 99, 2))
+        # Set some places to NaN (not particularly smart) so there is always
+        # some non-Nan.
+        x = x_no_nan.copy()
+        x[np.arange(99), np.arange(99), 0] = np.nan
+
+        p = np.array([[20., 50., 30], [70, 33, 80]])
+
+        # We just use ones as weights, but replace it with 0 or 1e200 at the
+        # NaN positions below.
+        weights = np.ones_like(x)
+
+        # For comparison use weighted normal percentile with nan weights at
+        # 0 (and no NaNs); not sure this is strictly identical but should be
+        # sufficiently so (if a percentile lies exactly on a 0 value).
+        weights[np.isnan(x)] = 0
+        p_expected = np.percentile(
+            x_no_nan, p, axis=axis, weights=weights, method="inverted_cdf")
+
+        p_unweighted = np.nanpercentile(
+            x, p, axis=axis, method="inverted_cdf")
+        # The normal and unweighted versions should be identical:
+        assert_equal(p_unweighted, p_expected)
+
+        weights[np.isnan(x)] = 1e200  # huge value, shouldn't matter
+        p_weighted = np.nanpercentile(
+            x, p, axis=axis, weights=weights, method="inverted_cdf")
+        assert_equal(p_weighted, p_expected)
+        # Also check with out passed:
+        out = np.empty_like(p_weighted)
+        res = np.nanpercentile(
+            x, p, axis=axis, weights=weights, out=out, method="inverted_cdf")
+
+        assert res is out
+        assert_equal(out, p_expected)
+
+
+class TestNanFunctions_Quantile:
+    # most of this is already tested by TestPercentile
+
+    @pytest.mark.parametrize("weighted", [False, True])
+    def test_regression(self, weighted):
+        ar = np.arange(24).reshape(2, 3, 4).astype(float)
+        ar[0][1] = np.nan
+        if weighted:
+            w_args = {"weights": np.ones_like(ar), "method": "inverted_cdf"}
+        else:
+            w_args = dict()
+
+        assert_equal(np.nanquantile(ar, q=0.5, **w_args),
+                     np.nanpercentile(ar, q=50, **w_args))
+        assert_equal(np.nanquantile(ar, q=0.5, axis=0, **w_args),
+                     np.nanpercentile(ar, q=50, axis=0, **w_args))
+        assert_equal(np.nanquantile(ar, q=0.5, axis=1, **w_args),
+                     np.nanpercentile(ar, q=50, axis=1, **w_args))
+        assert_equal(np.nanquantile(ar, q=[0.5], axis=1, **w_args),
+                     np.nanpercentile(ar, q=[50], axis=1, **w_args))
+        assert_equal(np.nanquantile(ar, q=[0.25, 0.5, 0.75], axis=1, **w_args),
+                     np.nanpercentile(ar, q=[25, 50, 75], axis=1, **w_args))
+
+    def test_basic(self):
+        x = np.arange(8) * 0.5
+        assert_equal(np.nanquantile(x, 0), 0.)
+        assert_equal(np.nanquantile(x, 1), 3.5)
+        assert_equal(np.nanquantile(x, 0.5), 1.75)
+
+    def test_complex(self):
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G')
+        assert_raises(TypeError, np.nanquantile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D')
+        assert_raises(TypeError, np.nanquantile, arr_c, 0.5)
+        arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F')
+        assert_raises(TypeError, np.nanquantile, arr_c, 0.5)
+
+    def test_no_p_overwrite(self):
+        # this is worth retesting, because quantile does not make a copy
+        p0 = np.array([0, 0.75, 0.25, 0.5, 1.0])
+        p = p0.copy()
+        np.nanquantile(np.arange(100.), p, method="midpoint")
+        assert_array_equal(p, p0)
+
+        p0 = p0.tolist()
+        p = p.tolist()
+        np.nanquantile(np.arange(100.), p, method="midpoint")
+        assert_array_equal(p, p0)
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize("dtype", np.typecodes["Float"])
+    @pytest.mark.parametrize("array", [
+        np.array(np.nan),
+        np.full((3, 3), np.nan),
+    ], ids=["0d", "2d"])
+    def test_allnans(self, axis, dtype, array):
+        if axis is not None and array.ndim == 0:
+            pytest.skip("`axis != None` not supported for 0d arrays")
+
+        array = array.astype(dtype)
+        with pytest.warns(RuntimeWarning, match="All-NaN slice encountered"):
+            out = np.nanquantile(array, 1, axis=axis)
+        assert np.isnan(out).all()
+        assert out.dtype == array.dtype
+
+@pytest.mark.parametrize("arr, expected", [
+    # array of floats with some nans
+    (np.array([np.nan, 5.0, np.nan, np.inf]),
+     np.array([False, True, False, True])),
+    # int64 array that can't possibly have nans
+    (np.array([1, 5, 7, 9], dtype=np.int64),
+     True),
+    # bool array that can't possibly have nans
+    (np.array([False, True, False, True]),
+     True),
+    # 2-D complex array with nans
+    (np.array([[np.nan, 5.0],
+               [np.nan, np.inf]], dtype=np.complex64),
+     np.array([[False, True],
+               [False, True]])),
+    ])
+def test__nan_mask(arr, expected):
+    for out in [None, np.empty(arr.shape, dtype=np.bool)]:
+        actual = _nan_mask(arr, out=out)
+        assert_equal(actual, expected)
+        # the above won't distinguish between True proper
+        # and an array of True values; we want True proper
+        # for types that can't possibly contain NaN
+        if type(expected) is not np.ndarray:
+            assert actual is True
+
+
+def test__replace_nan():
+    """ Test that _replace_nan returns the original array if there are no
+    NaNs, not a copy.
+    """
+    for dtype in [np.bool, np.int32, np.int64]:
+        arr = np.array([0, 1], dtype=dtype)
+        result, mask = _replace_nan(arr, 0)
+        assert mask is None
+        # do not make a copy if there are no nans
+        assert result is arr
+
+    for dtype in [np.float32, np.float64]:
+        arr = np.array([0, 1], dtype=dtype)
+        result, mask = _replace_nan(arr, 2)
+        assert (mask == False).all()
+        # mask is not None, so we make a copy
+        assert result is not arr
+        assert_equal(result, arr)
+
+        arr_nan = np.array([0, 1, np.nan], dtype=dtype)
+        result_nan, mask_nan = _replace_nan(arr_nan, 2)
+        assert_equal(mask_nan, np.array([False, False, True]))
+        assert result_nan is not arr_nan
+        assert_equal(result_nan, np.array([0, 1, 2]))
+        assert np.isnan(arr_nan[-1])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_packbits.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_packbits.py
new file mode 100644
index 0000000000000000000000000000000000000000..a446156327cd4f1fc0c088fbc61c3ca713f379e4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_packbits.py
@@ -0,0 +1,376 @@
+import numpy as np
+from numpy.testing import assert_array_equal, assert_equal, assert_raises
+import pytest
+from itertools import chain
+
+def test_packbits():
+    # Copied from the docstring.
+    a = [[[1, 0, 1], [0, 1, 0]],
+         [[1, 1, 0], [0, 0, 1]]]
+    for dt in '?bBhHiIlLqQ':
+        arr = np.array(a, dtype=dt)
+        b = np.packbits(arr, axis=-1)
+        assert_equal(b.dtype, np.uint8)
+        assert_array_equal(b, np.array([[[160], [64]], [[192], [32]]]))
+
+    assert_raises(TypeError, np.packbits, np.array(a, dtype=float))
+
+
+def test_packbits_empty():
+    shapes = [
+        (0,), (10, 20, 0), (10, 0, 20), (0, 10, 20), (20, 0, 0), (0, 20, 0),
+        (0, 0, 20), (0, 0, 0),
+    ]
+    for dt in '?bBhHiIlLqQ':
+        for shape in shapes:
+            a = np.empty(shape, dtype=dt)
+            b = np.packbits(a)
+            assert_equal(b.dtype, np.uint8)
+            assert_equal(b.shape, (0,))
+
+
+def test_packbits_empty_with_axis():
+    # Original shapes and lists of packed shapes for different axes.
+    shapes = [
+        ((0,), [(0,)]),
+        ((10, 20, 0), [(2, 20, 0), (10, 3, 0), (10, 20, 0)]),
+        ((10, 0, 20), [(2, 0, 20), (10, 0, 20), (10, 0, 3)]),
+        ((0, 10, 20), [(0, 10, 20), (0, 2, 20), (0, 10, 3)]),
+        ((20, 0, 0), [(3, 0, 0), (20, 0, 0), (20, 0, 0)]),
+        ((0, 20, 0), [(0, 20, 0), (0, 3, 0), (0, 20, 0)]),
+        ((0, 0, 20), [(0, 0, 20), (0, 0, 20), (0, 0, 3)]),
+        ((0, 0, 0), [(0, 0, 0), (0, 0, 0), (0, 0, 0)]),
+    ]
+    for dt in '?bBhHiIlLqQ':
+        for in_shape, out_shapes in shapes:
+            for ax, out_shape in enumerate(out_shapes):
+                a = np.empty(in_shape, dtype=dt)
+                b = np.packbits(a, axis=ax)
+                assert_equal(b.dtype, np.uint8)
+                assert_equal(b.shape, out_shape)
+
+@pytest.mark.parametrize('bitorder', ('little', 'big'))
+def test_packbits_large(bitorder):
+    # test data large enough for 16 byte vectorization
+    a = np.array([1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0,
+                  0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1,
+                  1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0,
+                  1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1,
+                  1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1,
+                  1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1,
+                  1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1,
+                  0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1,
+                  1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0,
+                  1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1,
+                  1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0,
+                  0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1,
+                  1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0,
+                  1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0,
+                  1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0])
+    a = a.repeat(3)
+    for dtype in '?bBhHiIlLqQ':
+        arr = np.array(a, dtype=dtype)
+        b = np.packbits(arr, axis=None, bitorder=bitorder)
+        assert_equal(b.dtype, np.uint8)
+        r = [252, 127, 192, 3, 254, 7, 252, 0, 7, 31, 240, 0, 28, 1, 255, 252,
+             113, 248, 3, 255, 192, 28, 15, 192, 28, 126, 0, 224, 127, 255,
+             227, 142, 7, 31, 142, 63, 28, 126, 56, 227, 240, 0, 227, 128, 63,
+             224, 14, 56, 252, 112, 56, 255, 241, 248, 3, 240, 56, 224, 112,
+             63, 255, 255, 199, 224, 14, 0, 31, 143, 192, 3, 255, 199, 0, 1,
+             255, 224, 1, 255, 252, 126, 63, 0, 1, 192, 252, 14, 63, 0, 15,
+             199, 252, 113, 255, 3, 128, 56, 252, 14, 7, 0, 113, 255, 255, 142, 56, 227,
+             129, 248, 227, 129, 199, 31, 128]
+        if bitorder == 'big':
+            assert_array_equal(b, r)
+        # equal for size being multiple of 8
+        assert_array_equal(np.unpackbits(b, bitorder=bitorder)[:-4], a)
+
+        # check last byte of different remainders (16 byte vectorization)
+        b = [np.packbits(arr[:-i], axis=None)[-1] for i in range(1, 16)]
+        assert_array_equal(b, [128, 128, 128, 31, 30, 28, 24, 16, 0, 0, 0, 199,
+                               198, 196, 192])
+
+
+        arr = arr.reshape(36, 25)
+        b = np.packbits(arr, axis=0)
+        assert_equal(b.dtype, np.uint8)
+        assert_array_equal(b, [[190, 186, 178, 178, 150, 215, 87, 83, 83, 195,
+                                199, 206, 204, 204, 140, 140, 136, 136, 8, 40, 105,
+                                107, 75, 74, 88],
+                               [72, 216, 248, 241, 227, 195, 202, 90, 90, 83,
+                                83, 119, 127, 109, 73, 64, 208, 244, 189, 45,
+                                41, 104, 122, 90, 18],
+                               [113, 120, 248, 216, 152, 24, 60, 52, 182, 150,
+                                150, 150, 146, 210, 210, 246, 255, 255, 223,
+                                151, 21, 17, 17, 131, 163],
+                               [214, 210, 210, 64, 68, 5, 5, 1, 72, 88, 92,
+                                92, 78, 110, 39, 181, 149, 220, 222, 218, 218,
+                                202, 234, 170, 168],
+                               [0, 128, 128, 192, 80, 112, 48, 160, 160, 224,
+                                240, 208, 144, 128, 160, 224, 240, 208, 144,
+                                144, 176, 240, 224, 192, 128]])
+
+        b = np.packbits(arr, axis=1)
+        assert_equal(b.dtype, np.uint8)
+        assert_array_equal(b, [[252, 127, 192,   0],
+                               [  7, 252,  15, 128],
+                               [240,   0,  28,   0],
+                               [255, 128,   0, 128],
+                               [192,  31, 255, 128],
+                               [142,  63,   0,   0],
+                               [255, 240,   7,   0],
+                               [  7, 224,  14,   0],
+                               [126,   0, 224,   0],
+                               [255, 255, 199,   0],
+                               [ 56,  28, 126,   0],
+                               [113, 248, 227, 128],
+                               [227, 142,  63,   0],
+                               [  0,  28, 112,   0],
+                               [ 15, 248,   3, 128],
+                               [ 28, 126,  56,   0],
+                               [ 56, 255, 241, 128],
+                               [240,   7, 224,   0],
+                               [227, 129, 192, 128],
+                               [255, 255, 254,   0],
+                               [126,   0, 224,   0],
+                               [  3, 241, 248,   0],
+                               [  0, 255, 241, 128],
+                               [128,   0, 255, 128],
+                               [224,   1, 255, 128],
+                               [248, 252, 126,   0],
+                               [  0,   7,   3, 128],
+                               [224, 113, 248,   0],
+                               [  0, 252, 127, 128],
+                               [142,  63, 224,   0],
+                               [224,  14,  63,   0],
+                               [  7,   3, 128,   0],
+                               [113, 255, 255, 128],
+                               [ 28, 113, 199,   0],
+                               [  7, 227, 142,   0],
+                               [ 14,  56, 252,   0]])
+
+        arr = arr.T.copy()
+        b = np.packbits(arr, axis=0)
+        assert_equal(b.dtype, np.uint8)
+        assert_array_equal(b, [[252, 7, 240, 255, 192, 142, 255, 7, 126, 255,
+                                56, 113, 227, 0, 15, 28, 56, 240, 227, 255,
+                                126, 3, 0, 128, 224, 248, 0, 224, 0, 142, 224,
+                                7, 113, 28, 7, 14],
+                                [127, 252, 0, 128, 31, 63, 240, 224, 0, 255,
+                                 28, 248, 142, 28, 248, 126, 255, 7, 129, 255,
+                                 0, 241, 255, 0, 1, 252, 7, 113, 252, 63, 14,
+                                 3, 255, 113, 227, 56],
+                                [192, 15, 28, 0, 255, 0, 7, 14, 224, 199, 126,
+                                 227, 63, 112, 3, 56, 241, 224, 192, 254, 224,
+                                 248, 241, 255, 255, 126, 3, 248, 127, 224, 63,
+                                 128, 255, 199, 142, 252],
+                                [0, 128, 0, 128, 128, 0, 0, 0, 0, 0, 0, 128, 0,
+                                 0, 128, 0, 128, 0, 128, 0, 0, 0, 128, 128,
+                                 128, 0, 128, 0, 128, 0, 0, 0, 128, 0, 0, 0]])
+
+        b = np.packbits(arr, axis=1)
+        assert_equal(b.dtype, np.uint8)
+        assert_array_equal(b, [[190,  72, 113, 214,   0],
+                               [186, 216, 120, 210, 128],
+                               [178, 248, 248, 210, 128],
+                               [178, 241, 216,  64, 192],
+                               [150, 227, 152,  68,  80],
+                               [215, 195,  24,   5, 112],
+                               [ 87, 202,  60,   5,  48],
+                               [ 83,  90,  52,   1, 160],
+                               [ 83,  90, 182,  72, 160],
+                               [195,  83, 150,  88, 224],
+                               [199,  83, 150,  92, 240],
+                               [206, 119, 150,  92, 208],
+                               [204, 127, 146,  78, 144],
+                               [204, 109, 210, 110, 128],
+                               [140,  73, 210,  39, 160],
+                               [140,  64, 246, 181, 224],
+                               [136, 208, 255, 149, 240],
+                               [136, 244, 255, 220, 208],
+                               [  8, 189, 223, 222, 144],
+                               [ 40,  45, 151, 218, 144],
+                               [105,  41,  21, 218, 176],
+                               [107, 104,  17, 202, 240],
+                               [ 75, 122,  17, 234, 224],
+                               [ 74,  90, 131, 170, 192],
+                               [ 88,  18, 163, 168, 128]])
+
+
+    # result is the same if input is multiplied with a nonzero value
+    for dtype in 'bBhHiIlLqQ':
+        arr = np.array(a, dtype=dtype)
+        rnd = np.random.randint(low=np.iinfo(dtype).min,
+                                high=np.iinfo(dtype).max, size=arr.size,
+                                dtype=dtype)
+        rnd[rnd == 0] = 1
+        arr *= rnd.astype(dtype)
+        b = np.packbits(arr, axis=-1)
+        assert_array_equal(np.unpackbits(b)[:-4], a)
+
+    assert_raises(TypeError, np.packbits, np.array(a, dtype=float))
+
+
+def test_packbits_very_large():
+    # test some with a larger arrays gh-8637
+    # code is covered earlier but larger array makes crash on bug more likely
+    for s in range(950, 1050):
+        for dt in '?bBhHiIlLqQ':
+            x = np.ones((200, s), dtype=bool)
+            np.packbits(x, axis=1)
+
+
+def test_unpackbits():
+    # Copied from the docstring.
+    a = np.array([[2], [7], [23]], dtype=np.uint8)
+    b = np.unpackbits(a, axis=1)
+    assert_equal(b.dtype, np.uint8)
+    assert_array_equal(b, np.array([[0, 0, 0, 0, 0, 0, 1, 0],
+                                    [0, 0, 0, 0, 0, 1, 1, 1],
+                                    [0, 0, 0, 1, 0, 1, 1, 1]]))
+
+def test_pack_unpack_order():
+    a = np.array([[2], [7], [23]], dtype=np.uint8)
+    b = np.unpackbits(a, axis=1)
+    assert_equal(b.dtype, np.uint8)
+    b_little = np.unpackbits(a, axis=1, bitorder='little')
+    b_big = np.unpackbits(a, axis=1, bitorder='big')
+    assert_array_equal(b, b_big)
+    assert_array_equal(a, np.packbits(b_little, axis=1, bitorder='little'))
+    assert_array_equal(b[:,::-1], b_little)
+    assert_array_equal(a, np.packbits(b_big, axis=1, bitorder='big'))
+    assert_raises(ValueError, np.unpackbits, a, bitorder='r')
+    assert_raises(TypeError, np.unpackbits, a, bitorder=10)
+
+
+
+def test_unpackbits_empty():
+    a = np.empty((0,), dtype=np.uint8)
+    b = np.unpackbits(a)
+    assert_equal(b.dtype, np.uint8)
+    assert_array_equal(b, np.empty((0,)))
+
+
+def test_unpackbits_empty_with_axis():
+    # Lists of packed shapes for different axes and unpacked shapes.
+    shapes = [
+        ([(0,)], (0,)),
+        ([(2, 24, 0), (16, 3, 0), (16, 24, 0)], (16, 24, 0)),
+        ([(2, 0, 24), (16, 0, 24), (16, 0, 3)], (16, 0, 24)),
+        ([(0, 16, 24), (0, 2, 24), (0, 16, 3)], (0, 16, 24)),
+        ([(3, 0, 0), (24, 0, 0), (24, 0, 0)], (24, 0, 0)),
+        ([(0, 24, 0), (0, 3, 0), (0, 24, 0)], (0, 24, 0)),
+        ([(0, 0, 24), (0, 0, 24), (0, 0, 3)], (0, 0, 24)),
+        ([(0, 0, 0), (0, 0, 0), (0, 0, 0)], (0, 0, 0)),
+    ]
+    for in_shapes, out_shape in shapes:
+        for ax, in_shape in enumerate(in_shapes):
+            a = np.empty(in_shape, dtype=np.uint8)
+            b = np.unpackbits(a, axis=ax)
+            assert_equal(b.dtype, np.uint8)
+            assert_equal(b.shape, out_shape)
+
+
+def test_unpackbits_large():
+    # test all possible numbers via comparison to already tested packbits
+    d = np.arange(277, dtype=np.uint8)
+    assert_array_equal(np.packbits(np.unpackbits(d)), d)
+    assert_array_equal(np.packbits(np.unpackbits(d[::2])), d[::2])
+    d = np.tile(d, (3, 1))
+    assert_array_equal(np.packbits(np.unpackbits(d, axis=1), axis=1), d)
+    d = d.T.copy()
+    assert_array_equal(np.packbits(np.unpackbits(d, axis=0), axis=0), d)
+
+
+class TestCount:
+    x = np.array([
+        [1, 0, 1, 0, 0, 1, 0],
+        [0, 1, 1, 1, 0, 0, 0],
+        [0, 0, 1, 0, 0, 1, 1],
+        [1, 1, 0, 0, 0, 1, 1],
+        [1, 0, 1, 0, 1, 0, 1],
+        [0, 0, 1, 1, 1, 0, 0],
+        [0, 1, 0, 1, 0, 1, 0],
+    ], dtype=np.uint8)
+    padded1 = np.zeros(57, dtype=np.uint8)
+    padded1[:49] = x.ravel()
+    padded1b = np.zeros(57, dtype=np.uint8)
+    padded1b[:49] = x[::-1].copy().ravel()
+    padded2 = np.zeros((9, 9), dtype=np.uint8)
+    padded2[:7, :7] = x
+
+    @pytest.mark.parametrize('bitorder', ('little', 'big'))
+    @pytest.mark.parametrize('count', chain(range(58), range(-1, -57, -1)))
+    def test_roundtrip(self, bitorder, count):
+        if count < 0:
+            # one extra zero of padding
+            cutoff = count - 1
+        else:
+            cutoff = count
+        # test complete invertibility of packbits and unpackbits with count
+        packed = np.packbits(self.x, bitorder=bitorder)
+        unpacked = np.unpackbits(packed, count=count, bitorder=bitorder)
+        assert_equal(unpacked.dtype, np.uint8)
+        assert_array_equal(unpacked, self.padded1[:cutoff])
+
+    @pytest.mark.parametrize('kwargs', [
+                    {}, {'count': None},
+                    ])
+    def test_count(self, kwargs):
+        packed = np.packbits(self.x)
+        unpacked = np.unpackbits(packed, **kwargs)
+        assert_equal(unpacked.dtype, np.uint8)
+        assert_array_equal(unpacked, self.padded1[:-1])
+
+    @pytest.mark.parametrize('bitorder', ('little', 'big'))
+    # delta==-1 when count<0 because one extra zero of padding
+    @pytest.mark.parametrize('count', chain(range(8), range(-1, -9, -1)))
+    def test_roundtrip_axis(self, bitorder, count):
+        if count < 0:
+            # one extra zero of padding
+            cutoff = count - 1
+        else:
+            cutoff = count
+        packed0 = np.packbits(self.x, axis=0, bitorder=bitorder)
+        unpacked0 = np.unpackbits(packed0, axis=0, count=count,
+                                  bitorder=bitorder)
+        assert_equal(unpacked0.dtype, np.uint8)
+        assert_array_equal(unpacked0, self.padded2[:cutoff, :self.x.shape[1]])
+
+        packed1 = np.packbits(self.x, axis=1, bitorder=bitorder)
+        unpacked1 = np.unpackbits(packed1, axis=1, count=count,
+                                  bitorder=bitorder)
+        assert_equal(unpacked1.dtype, np.uint8)
+        assert_array_equal(unpacked1, self.padded2[:self.x.shape[0], :cutoff])
+
+    @pytest.mark.parametrize('kwargs', [
+                    {}, {'count': None},
+                    {'bitorder' : 'little'},
+                    {'bitorder': 'little', 'count': None},
+                    {'bitorder' : 'big'},
+                    {'bitorder': 'big', 'count': None},
+                    ])
+    def test_axis_count(self, kwargs):
+        packed0 = np.packbits(self.x, axis=0)
+        unpacked0 = np.unpackbits(packed0, axis=0, **kwargs)
+        assert_equal(unpacked0.dtype, np.uint8)
+        if kwargs.get('bitorder', 'big') == 'big':
+            assert_array_equal(unpacked0, self.padded2[:-1, :self.x.shape[1]])
+        else:
+            assert_array_equal(unpacked0[::-1, :], self.padded2[:-1, :self.x.shape[1]])
+
+        packed1 = np.packbits(self.x, axis=1)
+        unpacked1 = np.unpackbits(packed1, axis=1, **kwargs)
+        assert_equal(unpacked1.dtype, np.uint8)
+        if kwargs.get('bitorder', 'big') == 'big':
+            assert_array_equal(unpacked1, self.padded2[:self.x.shape[0], :-1])
+        else:
+            assert_array_equal(unpacked1[:, ::-1], self.padded2[:self.x.shape[0], :-1])
+
+    def test_bad_count(self):
+        packed0 = np.packbits(self.x, axis=0)
+        assert_raises(ValueError, np.unpackbits, packed0, axis=0, count=-9)
+        packed1 = np.packbits(self.x, axis=1)
+        assert_raises(ValueError, np.unpackbits, packed1, axis=1, count=-9)
+        packed = np.packbits(self.x)
+        assert_raises(ValueError, np.unpackbits, packed, count=-57)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_polynomial.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_polynomial.py
new file mode 100644
index 0000000000000000000000000000000000000000..460de9985fa0c6d803f42661018672708a7e14dc
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_polynomial.py
@@ -0,0 +1,303 @@
+import numpy as np
+from numpy.testing import (
+    assert_, assert_equal, assert_array_equal, assert_almost_equal,
+    assert_array_almost_equal, assert_raises, assert_allclose
+    )
+
+import pytest
+
+# `poly1d` has some support for `np.bool` and `np.timedelta64`,
+# but it is limited and they are therefore excluded here
+TYPE_CODES = np.typecodes["AllInteger"] + np.typecodes["AllFloat"] + "O"
+
+
+class TestPolynomial:
+    def test_poly1d_str_and_repr(self):
+        p = np.poly1d([1., 2, 3])
+        assert_equal(repr(p), 'poly1d([1., 2., 3.])')
+        assert_equal(str(p),
+                     '   2\n'
+                     '1 x + 2 x + 3')
+
+        q = np.poly1d([3., 2, 1])
+        assert_equal(repr(q), 'poly1d([3., 2., 1.])')
+        assert_equal(str(q),
+                     '   2\n'
+                     '3 x + 2 x + 1')
+
+        r = np.poly1d([1.89999 + 2j, -3j, -5.12345678, 2 + 1j])
+        assert_equal(str(r),
+                     '            3      2\n'
+                     '(1.9 + 2j) x - 3j x - 5.123 x + (2 + 1j)')
+
+        assert_equal(str(np.poly1d([-3, -2, -1])),
+                     '    2\n'
+                     '-3 x - 2 x - 1')
+
+    def test_poly1d_resolution(self):
+        p = np.poly1d([1., 2, 3])
+        q = np.poly1d([3., 2, 1])
+        assert_equal(p(0), 3.0)
+        assert_equal(p(5), 38.0)
+        assert_equal(q(0), 1.0)
+        assert_equal(q(5), 86.0)
+
+    def test_poly1d_math(self):
+        # here we use some simple coeffs to make calculations easier
+        p = np.poly1d([1., 2, 4])
+        q = np.poly1d([4., 2, 1])
+        assert_equal(p/q, (np.poly1d([0.25]), np.poly1d([1.5, 3.75])))
+        assert_equal(p.integ(), np.poly1d([1/3, 1., 4., 0.]))
+        assert_equal(p.integ(1), np.poly1d([1/3, 1., 4., 0.]))
+
+        p = np.poly1d([1., 2, 3])
+        q = np.poly1d([3., 2, 1])
+        assert_equal(p * q, np.poly1d([3., 8., 14., 8., 3.]))
+        assert_equal(p + q, np.poly1d([4., 4., 4.]))
+        assert_equal(p - q, np.poly1d([-2., 0., 2.]))
+        assert_equal(p ** 4, np.poly1d([1., 8., 36., 104., 214., 312., 324., 216., 81.]))
+        assert_equal(p(q), np.poly1d([9., 12., 16., 8., 6.]))
+        assert_equal(q(p), np.poly1d([3., 12., 32., 40., 34.]))
+        assert_equal(p.deriv(), np.poly1d([2., 2.]))
+        assert_equal(p.deriv(2), np.poly1d([2.]))
+        assert_equal(np.polydiv(np.poly1d([1, 0, -1]), np.poly1d([1, 1])),
+                     (np.poly1d([1., -1.]), np.poly1d([0.])))
+
+    @pytest.mark.parametrize("type_code", TYPE_CODES)
+    def test_poly1d_misc(self, type_code: str) -> None:
+        dtype = np.dtype(type_code)
+        ar = np.array([1, 2, 3], dtype=dtype)
+        p = np.poly1d(ar)
+
+        # `__eq__`
+        assert_equal(np.asarray(p), ar)
+        assert_equal(np.asarray(p).dtype, dtype)
+        assert_equal(len(p), 2)
+
+        # `__getitem__`
+        comparison_dct = {-1: 0, 0: 3, 1: 2, 2: 1, 3: 0}
+        for index, ref in comparison_dct.items():
+            scalar = p[index]
+            assert_equal(scalar, ref)
+            if dtype == np.object_:
+                assert isinstance(scalar, int)
+            else:
+                assert_equal(scalar.dtype, dtype)
+
+    def test_poly1d_variable_arg(self):
+        q = np.poly1d([1., 2, 3], variable='y')
+        assert_equal(str(q),
+                     '   2\n'
+                     '1 y + 2 y + 3')
+        q = np.poly1d([1., 2, 3], variable='lambda')
+        assert_equal(str(q),
+                     '        2\n'
+                     '1 lambda + 2 lambda + 3')
+
+    def test_poly(self):
+        assert_array_almost_equal(np.poly([3, -np.sqrt(2), np.sqrt(2)]),
+                                  [1, -3, -2, 6])
+
+        # From matlab docs
+        A = [[1, 2, 3], [4, 5, 6], [7, 8, 0]]
+        assert_array_almost_equal(np.poly(A), [1, -6, -72, -27])
+
+        # Should produce real output for perfect conjugates
+        assert_(np.isrealobj(np.poly([+1.082j, +2.613j, -2.613j, -1.082j])))
+        assert_(np.isrealobj(np.poly([0+1j, -0+-1j, 1+2j,
+                                      1-2j, 1.+3.5j, 1-3.5j])))
+        assert_(np.isrealobj(np.poly([1j, -1j, 1+2j, 1-2j, 1+3j, 1-3.j])))
+        assert_(np.isrealobj(np.poly([1j, -1j, 1+2j, 1-2j])))
+        assert_(np.isrealobj(np.poly([1j, -1j, 2j, -2j])))
+        assert_(np.isrealobj(np.poly([1j, -1j])))
+        assert_(np.isrealobj(np.poly([1, -1])))
+
+        assert_(np.iscomplexobj(np.poly([1j, -1.0000001j])))
+
+        np.random.seed(42)
+        a = np.random.randn(100) + 1j*np.random.randn(100)
+        assert_(np.isrealobj(np.poly(np.concatenate((a, np.conjugate(a))))))
+
+    def test_roots(self):
+        assert_array_equal(np.roots([1, 0, 0]), [0, 0])
+
+    def test_str_leading_zeros(self):
+        p = np.poly1d([4, 3, 2, 1])
+        p[3] = 0
+        assert_equal(str(p),
+                     "   2\n"
+                     "3 x + 2 x + 1")
+
+        p = np.poly1d([1, 2])
+        p[0] = 0
+        p[1] = 0
+        assert_equal(str(p), " \n0")
+
+    def test_polyfit(self):
+        c = np.array([3., 2., 1.])
+        x = np.linspace(0, 2, 7)
+        y = np.polyval(c, x)
+        err = [1, -1, 1, -1, 1, -1, 1]
+        weights = np.arange(8, 1, -1)**2/7.0
+
+        # Check exception when too few points for variance estimate. Note that
+        # the estimate requires the number of data points to exceed
+        # degree + 1
+        assert_raises(ValueError, np.polyfit,
+                      [1], [1], deg=0, cov=True)
+
+        # check 1D case
+        m, cov = np.polyfit(x, y+err, 2, cov=True)
+        est = [3.8571, 0.2857, 1.619]
+        assert_almost_equal(est, m, decimal=4)
+        val0 = [[ 1.4694, -2.9388,  0.8163],
+                [-2.9388,  6.3673, -2.1224],
+                [ 0.8163, -2.1224,  1.161 ]]
+        assert_almost_equal(val0, cov, decimal=4)
+
+        m2, cov2 = np.polyfit(x, y+err, 2, w=weights, cov=True)
+        assert_almost_equal([4.8927, -1.0177, 1.7768], m2, decimal=4)
+        val = [[ 4.3964, -5.0052,  0.4878],
+               [-5.0052,  6.8067, -0.9089],
+               [ 0.4878, -0.9089,  0.3337]]
+        assert_almost_equal(val, cov2, decimal=4)
+
+        m3, cov3 = np.polyfit(x, y+err, 2, w=weights, cov="unscaled")
+        assert_almost_equal([4.8927, -1.0177, 1.7768], m3, decimal=4)
+        val = [[ 0.1473, -0.1677,  0.0163],
+               [-0.1677,  0.228 , -0.0304],
+               [ 0.0163, -0.0304,  0.0112]]
+        assert_almost_equal(val, cov3, decimal=4)
+
+        # check 2D (n,1) case
+        y = y[:, np.newaxis]
+        c = c[:, np.newaxis]
+        assert_almost_equal(c, np.polyfit(x, y, 2))
+        # check 2D (n,2) case
+        yy = np.concatenate((y, y), axis=1)
+        cc = np.concatenate((c, c), axis=1)
+        assert_almost_equal(cc, np.polyfit(x, yy, 2))
+
+        m, cov = np.polyfit(x, yy + np.array(err)[:, np.newaxis], 2, cov=True)
+        assert_almost_equal(est, m[:, 0], decimal=4)
+        assert_almost_equal(est, m[:, 1], decimal=4)
+        assert_almost_equal(val0, cov[:, :, 0], decimal=4)
+        assert_almost_equal(val0, cov[:, :, 1], decimal=4)
+
+        # check order 1 (deg=0) case, were the analytic results are simple
+        np.random.seed(123)
+        y = np.random.normal(size=(4, 10000))
+        mean, cov = np.polyfit(np.zeros(y.shape[0]), y, deg=0, cov=True)
+        # Should get sigma_mean = sigma/sqrt(N) = 1./sqrt(4) = 0.5.
+        assert_allclose(mean.std(), 0.5, atol=0.01)
+        assert_allclose(np.sqrt(cov.mean()), 0.5, atol=0.01)
+        # Without scaling, since reduced chi2 is 1, the result should be the same.
+        mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=np.ones(y.shape[0]),
+                               deg=0, cov="unscaled")
+        assert_allclose(mean.std(), 0.5, atol=0.01)
+        assert_almost_equal(np.sqrt(cov.mean()), 0.5)
+        # If we estimate our errors wrong, no change with scaling:
+        w = np.full(y.shape[0], 1./0.5)
+        mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=w, deg=0, cov=True)
+        assert_allclose(mean.std(), 0.5, atol=0.01)
+        assert_allclose(np.sqrt(cov.mean()), 0.5, atol=0.01)
+        # But if we do not scale, our estimate for the error in the mean will
+        # differ.
+        mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=w, deg=0, cov="unscaled")
+        assert_allclose(mean.std(), 0.5, atol=0.01)
+        assert_almost_equal(np.sqrt(cov.mean()), 0.25)
+
+    def test_objects(self):
+        from decimal import Decimal
+        p = np.poly1d([Decimal('4.0'), Decimal('3.0'), Decimal('2.0')])
+        p2 = p * Decimal('1.333333333333333')
+        assert_(p2[1] == Decimal("3.9999999999999990"))
+        p2 = p.deriv()
+        assert_(p2[1] == Decimal('8.0'))
+        p2 = p.integ()
+        assert_(p2[3] == Decimal("1.333333333333333333333333333"))
+        assert_(p2[2] == Decimal('1.5'))
+        assert_(np.issubdtype(p2.coeffs.dtype, np.object_))
+        p = np.poly([Decimal(1), Decimal(2)])
+        assert_equal(np.poly([Decimal(1), Decimal(2)]),
+                     [1, Decimal(-3), Decimal(2)])
+
+    def test_complex(self):
+        p = np.poly1d([3j, 2j, 1j])
+        p2 = p.integ()
+        assert_((p2.coeffs == [1j, 1j, 1j, 0]).all())
+        p2 = p.deriv()
+        assert_((p2.coeffs == [6j, 2j]).all())
+
+    def test_integ_coeffs(self):
+        p = np.poly1d([3, 2, 1])
+        p2 = p.integ(3, k=[9, 7, 6])
+        assert_(
+            (p2.coeffs == [1/4./5., 1/3./4., 1/2./3., 9/1./2., 7, 6]).all())
+
+    def test_zero_dims(self):
+        try:
+            np.poly(np.zeros((0, 0)))
+        except ValueError:
+            pass
+
+    def test_poly_int_overflow(self):
+        """
+        Regression test for gh-5096.
+        """
+        v = np.arange(1, 21)
+        assert_almost_equal(np.poly(v), np.poly(np.diag(v)))
+
+    def test_zero_poly_dtype(self):
+        """
+        Regression test for gh-16354.
+        """
+        z = np.array([0, 0, 0])
+        p = np.poly1d(z.astype(np.int64))
+        assert_equal(p.coeffs.dtype, np.int64)
+
+        p = np.poly1d(z.astype(np.float32))
+        assert_equal(p.coeffs.dtype, np.float32)
+
+        p = np.poly1d(z.astype(np.complex64))
+        assert_equal(p.coeffs.dtype, np.complex64)
+
+    def test_poly_eq(self):
+        p = np.poly1d([1, 2, 3])
+        p2 = np.poly1d([1, 2, 4])
+        assert_equal(p == None, False)  # noqa: E711
+        assert_equal(p != None, True)  # noqa: E711
+        assert_equal(p == p, True)
+        assert_equal(p == p2, False)
+        assert_equal(p != p2, True)
+
+    def test_polydiv(self):
+        b = np.poly1d([2, 6, 6, 1])
+        a = np.poly1d([-1j, (1+2j), -(2+1j), 1])
+        q, r = np.polydiv(b, a)
+        assert_equal(q.coeffs.dtype, np.complex128)
+        assert_equal(r.coeffs.dtype, np.complex128)
+        assert_equal(q*a + r, b)
+
+        c = [1, 2, 3]
+        d = np.poly1d([1, 2, 3])
+        s, t = np.polydiv(c, d)
+        assert isinstance(s, np.poly1d)
+        assert isinstance(t, np.poly1d)
+        u, v = np.polydiv(d, c)
+        assert isinstance(u, np.poly1d)
+        assert isinstance(v, np.poly1d)
+
+    def test_poly_coeffs_mutable(self):
+        """ Coefficients should be modifiable """
+        p = np.poly1d([1, 2, 3])
+
+        p.coeffs += 1
+        assert_equal(p.coeffs, [2, 3, 4])
+
+        p.coeffs[2] += 10
+        assert_equal(p.coeffs, [2, 3, 14])
+
+        # this never used to be allowed - let's not add features to deprecated
+        # APIs
+        assert_raises(AttributeError, setattr, p, 'coeffs', np.array(1))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_recfunctions.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_recfunctions.py
new file mode 100644
index 0000000000000000000000000000000000000000..37ab6d390ac8d5b9692f419e61dc791743ef2469
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_recfunctions.py
@@ -0,0 +1,1042 @@
+
+import numpy as np
+import numpy.ma as ma
+from numpy.ma.mrecords import MaskedRecords
+from numpy.ma.testutils import assert_equal
+from numpy.testing import assert_, assert_raises
+from numpy.lib.recfunctions import (
+    drop_fields, rename_fields, get_fieldstructure, recursive_fill_fields,
+    find_duplicates, merge_arrays, append_fields, stack_arrays, join_by,
+    repack_fields, unstructured_to_structured, structured_to_unstructured,
+    apply_along_fields, require_fields, assign_fields_by_name)
+get_fieldspec = np.lib.recfunctions._get_fieldspec
+get_names = np.lib.recfunctions.get_names
+get_names_flat = np.lib.recfunctions.get_names_flat
+zip_descr = np.lib.recfunctions._zip_descr
+zip_dtype = np.lib.recfunctions._zip_dtype
+
+
+class TestRecFunctions:
+    # Misc tests
+
+    def setup_method(self):
+        x = np.array([1, 2, ])
+        y = np.array([10, 20, 30])
+        z = np.array([('A', 1.), ('B', 2.)],
+                     dtype=[('A', '|S3'), ('B', float)])
+        w = np.array([(1, (2, 3.0)), (4, (5, 6.0))],
+                     dtype=[('a', int), ('b', [('ba', float), ('bb', int)])])
+        self.data = (w, x, y, z)
+
+    def test_zip_descr(self):
+        # Test zip_descr
+        (w, x, y, z) = self.data
+
+        # Std array
+        test = zip_descr((x, x), flatten=True)
+        assert_equal(test,
+                     np.dtype([('', int), ('', int)]))
+        test = zip_descr((x, x), flatten=False)
+        assert_equal(test,
+                     np.dtype([('', int), ('', int)]))
+
+        # Std & flexible-dtype
+        test = zip_descr((x, z), flatten=True)
+        assert_equal(test,
+                     np.dtype([('', int), ('A', '|S3'), ('B', float)]))
+        test = zip_descr((x, z), flatten=False)
+        assert_equal(test,
+                     np.dtype([('', int),
+                               ('', [('A', '|S3'), ('B', float)])]))
+
+        # Standard & nested dtype
+        test = zip_descr((x, w), flatten=True)
+        assert_equal(test,
+                     np.dtype([('', int),
+                               ('a', int),
+                               ('ba', float), ('bb', int)]))
+        test = zip_descr((x, w), flatten=False)
+        assert_equal(test,
+                     np.dtype([('', int),
+                               ('', [('a', int),
+                                     ('b', [('ba', float), ('bb', int)])])]))
+
+    def test_drop_fields(self):
+        # Test drop_fields
+        a = np.array([(1, (2, 3.0)), (4, (5, 6.0))],
+                     dtype=[('a', int), ('b', [('ba', float), ('bb', int)])])
+
+        # A basic field
+        test = drop_fields(a, 'a')
+        control = np.array([((2, 3.0),), ((5, 6.0),)],
+                           dtype=[('b', [('ba', float), ('bb', int)])])
+        assert_equal(test, control)
+
+        # Another basic field (but nesting two fields)
+        test = drop_fields(a, 'b')
+        control = np.array([(1,), (4,)], dtype=[('a', int)])
+        assert_equal(test, control)
+
+        # A nested sub-field
+        test = drop_fields(a, ['ba', ])
+        control = np.array([(1, (3.0,)), (4, (6.0,))],
+                           dtype=[('a', int), ('b', [('bb', int)])])
+        assert_equal(test, control)
+
+        # All the nested sub-field from a field: zap that field
+        test = drop_fields(a, ['ba', 'bb'])
+        control = np.array([(1,), (4,)], dtype=[('a', int)])
+        assert_equal(test, control)
+
+        # dropping all fields results in an array with no fields
+        test = drop_fields(a, ['a', 'b'])
+        control = np.array([(), ()], dtype=[])
+        assert_equal(test, control)
+
+    def test_rename_fields(self):
+        # Test rename fields
+        a = np.array([(1, (2, [3.0, 30.])), (4, (5, [6.0, 60.]))],
+                     dtype=[('a', int),
+                            ('b', [('ba', float), ('bb', (float, 2))])])
+        test = rename_fields(a, {'a': 'A', 'bb': 'BB'})
+        newdtype = [('A', int), ('b', [('ba', float), ('BB', (float, 2))])]
+        control = a.view(newdtype)
+        assert_equal(test.dtype, newdtype)
+        assert_equal(test, control)
+
+    def test_get_names(self):
+        # Test get_names
+        ndtype = np.dtype([('A', '|S3'), ('B', float)])
+        test = get_names(ndtype)
+        assert_equal(test, ('A', 'B'))
+
+        ndtype = np.dtype([('a', int), ('b', [('ba', float), ('bb', int)])])
+        test = get_names(ndtype)
+        assert_equal(test, ('a', ('b', ('ba', 'bb'))))
+
+        ndtype = np.dtype([('a', int), ('b', [])])
+        test = get_names(ndtype)
+        assert_equal(test, ('a', ('b', ())))
+
+        ndtype = np.dtype([])
+        test = get_names(ndtype)
+        assert_equal(test, ())
+
+    def test_get_names_flat(self):
+        # Test get_names_flat
+        ndtype = np.dtype([('A', '|S3'), ('B', float)])
+        test = get_names_flat(ndtype)
+        assert_equal(test, ('A', 'B'))
+
+        ndtype = np.dtype([('a', int), ('b', [('ba', float), ('bb', int)])])
+        test = get_names_flat(ndtype)
+        assert_equal(test, ('a', 'b', 'ba', 'bb'))
+
+        ndtype = np.dtype([('a', int), ('b', [])])
+        test = get_names_flat(ndtype)
+        assert_equal(test, ('a', 'b'))
+
+        ndtype = np.dtype([])
+        test = get_names_flat(ndtype)
+        assert_equal(test, ())
+
+    def test_get_fieldstructure(self):
+        # Test get_fieldstructure
+
+        # No nested fields
+        ndtype = np.dtype([('A', '|S3'), ('B', float)])
+        test = get_fieldstructure(ndtype)
+        assert_equal(test, {'A': [], 'B': []})
+
+        # One 1-nested field
+        ndtype = np.dtype([('A', int), ('B', [('BA', float), ('BB', '|S1')])])
+        test = get_fieldstructure(ndtype)
+        assert_equal(test, {'A': [], 'B': [], 'BA': ['B', ], 'BB': ['B']})
+
+        # One 2-nested fields
+        ndtype = np.dtype([('A', int),
+                           ('B', [('BA', int),
+                                  ('BB', [('BBA', int), ('BBB', int)])])])
+        test = get_fieldstructure(ndtype)
+        control = {'A': [], 'B': [], 'BA': ['B'], 'BB': ['B'],
+                   'BBA': ['B', 'BB'], 'BBB': ['B', 'BB']}
+        assert_equal(test, control)
+
+        # 0 fields
+        ndtype = np.dtype([])
+        test = get_fieldstructure(ndtype)
+        assert_equal(test, {})
+
+    def test_find_duplicates(self):
+        # Test find_duplicates
+        a = ma.array([(2, (2., 'B')), (1, (2., 'B')), (2, (2., 'B')),
+                      (1, (1., 'B')), (2, (2., 'B')), (2, (2., 'C'))],
+                     mask=[(0, (0, 0)), (0, (0, 0)), (0, (0, 0)),
+                           (0, (0, 0)), (1, (0, 0)), (0, (1, 0))],
+                     dtype=[('A', int), ('B', [('BA', float), ('BB', '|S1')])])
+
+        test = find_duplicates(a, ignoremask=False, return_index=True)
+        control = [0, 2]
+        assert_equal(sorted(test[-1]), control)
+        assert_equal(test[0], a[test[-1]])
+
+        test = find_duplicates(a, key='A', return_index=True)
+        control = [0, 1, 2, 3, 5]
+        assert_equal(sorted(test[-1]), control)
+        assert_equal(test[0], a[test[-1]])
+
+        test = find_duplicates(a, key='B', return_index=True)
+        control = [0, 1, 2, 4]
+        assert_equal(sorted(test[-1]), control)
+        assert_equal(test[0], a[test[-1]])
+
+        test = find_duplicates(a, key='BA', return_index=True)
+        control = [0, 1, 2, 4]
+        assert_equal(sorted(test[-1]), control)
+        assert_equal(test[0], a[test[-1]])
+
+        test = find_duplicates(a, key='BB', return_index=True)
+        control = [0, 1, 2, 3, 4]
+        assert_equal(sorted(test[-1]), control)
+        assert_equal(test[0], a[test[-1]])
+
+    def test_find_duplicates_ignoremask(self):
+        # Test the ignoremask option of find_duplicates
+        ndtype = [('a', int)]
+        a = ma.array([1, 1, 1, 2, 2, 3, 3],
+                     mask=[0, 0, 1, 0, 0, 0, 1]).view(ndtype)
+        test = find_duplicates(a, ignoremask=True, return_index=True)
+        control = [0, 1, 3, 4]
+        assert_equal(sorted(test[-1]), control)
+        assert_equal(test[0], a[test[-1]])
+
+        test = find_duplicates(a, ignoremask=False, return_index=True)
+        control = [0, 1, 2, 3, 4, 6]
+        assert_equal(sorted(test[-1]), control)
+        assert_equal(test[0], a[test[-1]])
+
+    def test_repack_fields(self):
+        dt = np.dtype('u1,f4,i8', align=True)
+        a = np.zeros(2, dtype=dt)
+
+        assert_equal(repack_fields(dt), np.dtype('u1,f4,i8'))
+        assert_equal(repack_fields(a).itemsize, 13)
+        assert_equal(repack_fields(repack_fields(dt), align=True), dt)
+
+        # make sure type is preserved
+        dt = np.dtype((np.record, dt))
+        assert_(repack_fields(dt).type is np.record)
+
+    def test_structured_to_unstructured(self, tmp_path):
+        a = np.zeros(4, dtype=[('a', 'i4'), ('b', 'f4,u2'), ('c', 'f4', 2)])
+        out = structured_to_unstructured(a)
+        assert_equal(out, np.zeros((4,5), dtype='f8'))
+
+        b = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)],
+                     dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')])
+        out = np.mean(structured_to_unstructured(b[['x', 'z']]), axis=-1)
+        assert_equal(out, np.array([ 3. ,  5.5,  9. , 11. ]))
+        out = np.mean(structured_to_unstructured(b[['x']]), axis=-1)
+        assert_equal(out, np.array([ 1. ,  4. ,  7. , 10. ]))
+
+        c = np.arange(20).reshape((4,5))
+        out = unstructured_to_structured(c, a.dtype)
+        want = np.array([( 0, ( 1.,  2), [ 3.,  4.]),
+                         ( 5, ( 6.,  7), [ 8.,  9.]),
+                         (10, (11., 12), [13., 14.]),
+                         (15, (16., 17), [18., 19.])],
+                     dtype=[('a', 'i4'),
+                            ('b', [('f0', 'f4'), ('f1', 'u2')]),
+                            ('c', 'f4', (2,))])
+        assert_equal(out, want)
+
+        d = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)],
+                     dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')])
+        assert_equal(apply_along_fields(np.mean, d),
+                     np.array([ 8.0/3,  16.0/3,  26.0/3, 11. ]))
+        assert_equal(apply_along_fields(np.mean, d[['x', 'z']]),
+                     np.array([ 3. ,  5.5,  9. , 11. ]))
+
+        # check that for uniform field dtypes we get a view, not a copy:
+        d = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)],
+                     dtype=[('x', 'i4'), ('y', 'i4'), ('z', 'i4')])
+        dd = structured_to_unstructured(d)
+        ddd = unstructured_to_structured(dd, d.dtype)
+        assert_(np.shares_memory(dd, d))
+        assert_(np.shares_memory(ddd, d))
+
+        # check that reversing the order of attributes works
+        dd_attrib_rev = structured_to_unstructured(d[['z', 'x']])
+        assert_equal(dd_attrib_rev, [[5, 1], [7, 4], [11, 7], [12, 10]])
+        assert_(np.shares_memory(dd_attrib_rev, d))
+
+        # including uniform fields with subarrays unpacked
+        d = np.array([(1, [2,  3], [[ 4,  5], [ 6,  7]]),
+                      (8, [9, 10], [[11, 12], [13, 14]])],
+                     dtype=[('x0', 'i4'), ('x1', ('i4', 2)),
+                            ('x2', ('i4', (2, 2)))])
+        dd = structured_to_unstructured(d)
+        ddd = unstructured_to_structured(dd, d.dtype)
+        assert_(np.shares_memory(dd, d))
+        assert_(np.shares_memory(ddd, d))
+
+        # check that reversing with sub-arrays works as expected
+        d_rev = d[::-1]
+        dd_rev = structured_to_unstructured(d_rev)
+        assert_equal(dd_rev, [[8, 9, 10, 11, 12, 13, 14],
+                              [1, 2, 3, 4, 5, 6, 7]])
+
+        # check that sub-arrays keep the order of their values
+        d_attrib_rev = d[['x2', 'x1', 'x0']]
+        dd_attrib_rev = structured_to_unstructured(d_attrib_rev)
+        assert_equal(dd_attrib_rev, [[4, 5, 6, 7, 2, 3, 1],
+                                     [11, 12, 13, 14, 9, 10, 8]])
+
+        # with ignored field at the end
+        d = np.array([(1, [2,  3], [[4, 5], [6, 7]], 32),
+                      (8, [9, 10], [[11, 12], [13, 14]], 64)],
+                     dtype=[('x0', 'i4'), ('x1', ('i4', 2)),
+                            ('x2', ('i4', (2, 2))), ('ignored', 'u1')])
+        dd = structured_to_unstructured(d[['x0', 'x1', 'x2']])
+        assert_(np.shares_memory(dd, d))
+        assert_equal(dd, [[1, 2, 3, 4, 5, 6, 7],
+                          [8, 9, 10, 11, 12, 13, 14]])
+
+        # test that nested fields with identical names don't break anything
+        point = np.dtype([('x', int), ('y', int)])
+        triangle = np.dtype([('a', point), ('b', point), ('c', point)])
+        arr = np.zeros(10, triangle)
+        res = structured_to_unstructured(arr, dtype=int)
+        assert_equal(res, np.zeros((10, 6), dtype=int))
+
+
+        # test nested combinations of subarrays and structured arrays, gh-13333
+        def subarray(dt, shape):
+            return np.dtype((dt, shape))
+
+        def structured(*dts):
+            return np.dtype([('x{}'.format(i), dt) for i, dt in enumerate(dts)])
+
+        def inspect(dt, dtype=None):
+            arr = np.zeros((), dt)
+            ret = structured_to_unstructured(arr, dtype=dtype)
+            backarr = unstructured_to_structured(ret, dt)
+            return ret.shape, ret.dtype, backarr.dtype
+
+        dt = structured(subarray(structured(np.int32, np.int32), 3))
+        assert_equal(inspect(dt), ((6,), np.int32, dt))
+
+        dt = structured(subarray(subarray(np.int32, 2), 2))
+        assert_equal(inspect(dt), ((4,), np.int32, dt))
+
+        dt = structured(np.int32)
+        assert_equal(inspect(dt), ((1,), np.int32, dt))
+
+        dt = structured(np.int32, subarray(subarray(np.int32, 2), 2))
+        assert_equal(inspect(dt), ((5,), np.int32, dt))
+
+        dt = structured()
+        assert_raises(ValueError, structured_to_unstructured, np.zeros(3, dt))
+
+        # these currently don't work, but we may make it work in the future
+        assert_raises(NotImplementedError, structured_to_unstructured,
+                                           np.zeros(3, dt), dtype=np.int32)
+        assert_raises(NotImplementedError, unstructured_to_structured,
+                                           np.zeros((3,0), dtype=np.int32))
+
+        # test supported ndarray subclasses
+        d_plain = np.array([(1, 2), (3, 4)], dtype=[('a', 'i4'), ('b', 'i4')])
+        dd_expected = structured_to_unstructured(d_plain, copy=True)
+
+        # recarray
+        d = d_plain.view(np.recarray)
+
+        dd = structured_to_unstructured(d, copy=False)
+        ddd = structured_to_unstructured(d, copy=True)
+        assert_(np.shares_memory(d, dd))
+        assert_(type(dd) is np.recarray)
+        assert_(type(ddd) is np.recarray)
+        assert_equal(dd, dd_expected)
+        assert_equal(ddd, dd_expected)
+
+        # memmap
+        d = np.memmap(tmp_path / 'memmap',
+                      mode='w+',
+                      dtype=d_plain.dtype,
+                      shape=d_plain.shape)
+        d[:] = d_plain
+        dd = structured_to_unstructured(d, copy=False)
+        ddd = structured_to_unstructured(d, copy=True)
+        assert_(np.shares_memory(d, dd))
+        assert_(type(dd) is np.memmap)
+        assert_(type(ddd) is np.memmap)
+        assert_equal(dd, dd_expected)
+        assert_equal(ddd, dd_expected)
+
+    def test_unstructured_to_structured(self):
+        # test if dtype is the args of np.dtype
+        a = np.zeros((20, 2))
+        test_dtype_args = [('x', float), ('y', float)]
+        test_dtype = np.dtype(test_dtype_args)
+        field1 = unstructured_to_structured(a, dtype=test_dtype_args)  # now
+        field2 = unstructured_to_structured(a, dtype=test_dtype)  # before
+        assert_equal(field1, field2)
+
+    def test_field_assignment_by_name(self):
+        a = np.ones(2, dtype=[('a', 'i4'), ('b', 'f8'), ('c', 'u1')])
+        newdt = [('b', 'f4'), ('c', 'u1')]
+
+        assert_equal(require_fields(a, newdt), np.ones(2, newdt))
+
+        b = np.array([(1,2), (3,4)], dtype=newdt)
+        assign_fields_by_name(a, b, zero_unassigned=False)
+        assert_equal(a, np.array([(1,1,2),(1,3,4)], dtype=a.dtype))
+        assign_fields_by_name(a, b)
+        assert_equal(a, np.array([(0,1,2),(0,3,4)], dtype=a.dtype))
+
+        # test nested fields
+        a = np.ones(2, dtype=[('a', [('b', 'f8'), ('c', 'u1')])])
+        newdt = [('a', [('c', 'u1')])]
+        assert_equal(require_fields(a, newdt), np.ones(2, newdt))
+        b = np.array([((2,),), ((3,),)], dtype=newdt)
+        assign_fields_by_name(a, b, zero_unassigned=False)
+        assert_equal(a, np.array([((1,2),), ((1,3),)], dtype=a.dtype))
+        assign_fields_by_name(a, b)
+        assert_equal(a, np.array([((0,2),), ((0,3),)], dtype=a.dtype))
+
+        # test unstructured code path for 0d arrays
+        a, b = np.array(3), np.array(0)
+        assign_fields_by_name(b, a)
+        assert_equal(b[()], 3)
+
+
+class TestRecursiveFillFields:
+    # Test recursive_fill_fields.
+    def test_simple_flexible(self):
+        # Test recursive_fill_fields on flexible-array
+        a = np.array([(1, 10.), (2, 20.)], dtype=[('A', int), ('B', float)])
+        b = np.zeros((3,), dtype=a.dtype)
+        test = recursive_fill_fields(a, b)
+        control = np.array([(1, 10.), (2, 20.), (0, 0.)],
+                           dtype=[('A', int), ('B', float)])
+        assert_equal(test, control)
+
+    def test_masked_flexible(self):
+        # Test recursive_fill_fields on masked flexible-array
+        a = ma.array([(1, 10.), (2, 20.)], mask=[(0, 1), (1, 0)],
+                     dtype=[('A', int), ('B', float)])
+        b = ma.zeros((3,), dtype=a.dtype)
+        test = recursive_fill_fields(a, b)
+        control = ma.array([(1, 10.), (2, 20.), (0, 0.)],
+                           mask=[(0, 1), (1, 0), (0, 0)],
+                           dtype=[('A', int), ('B', float)])
+        assert_equal(test, control)
+
+
+class TestMergeArrays:
+    # Test merge_arrays
+
+    def setup_method(self):
+        x = np.array([1, 2, ])
+        y = np.array([10, 20, 30])
+        z = np.array(
+            [('A', 1.), ('B', 2.)], dtype=[('A', '|S3'), ('B', float)])
+        w = np.array(
+            [(1, (2, 3.0, ())), (4, (5, 6.0, ()))],
+            dtype=[('a', int), ('b', [('ba', float), ('bb', int), ('bc', [])])])
+        self.data = (w, x, y, z)
+
+    def test_solo(self):
+        # Test merge_arrays on a single array.
+        (_, x, _, z) = self.data
+
+        test = merge_arrays(x)
+        control = np.array([(1,), (2,)], dtype=[('f0', int)])
+        assert_equal(test, control)
+        test = merge_arrays((x,))
+        assert_equal(test, control)
+
+        test = merge_arrays(z, flatten=False)
+        assert_equal(test, z)
+        test = merge_arrays(z, flatten=True)
+        assert_equal(test, z)
+
+    def test_solo_w_flatten(self):
+        # Test merge_arrays on a single array w & w/o flattening
+        w = self.data[0]
+        test = merge_arrays(w, flatten=False)
+        assert_equal(test, w)
+
+        test = merge_arrays(w, flatten=True)
+        control = np.array([(1, 2, 3.0), (4, 5, 6.0)],
+                           dtype=[('a', int), ('ba', float), ('bb', int)])
+        assert_equal(test, control)
+
+    def test_standard(self):
+        # Test standard & standard
+        # Test merge arrays
+        (_, x, y, _) = self.data
+        test = merge_arrays((x, y), usemask=False)
+        control = np.array([(1, 10), (2, 20), (-1, 30)],
+                           dtype=[('f0', int), ('f1', int)])
+        assert_equal(test, control)
+
+        test = merge_arrays((x, y), usemask=True)
+        control = ma.array([(1, 10), (2, 20), (-1, 30)],
+                           mask=[(0, 0), (0, 0), (1, 0)],
+                           dtype=[('f0', int), ('f1', int)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+    def test_flatten(self):
+        # Test standard & flexible
+        (_, x, _, z) = self.data
+        test = merge_arrays((x, z), flatten=True)
+        control = np.array([(1, 'A', 1.), (2, 'B', 2.)],
+                           dtype=[('f0', int), ('A', '|S3'), ('B', float)])
+        assert_equal(test, control)
+
+        test = merge_arrays((x, z), flatten=False)
+        control = np.array([(1, ('A', 1.)), (2, ('B', 2.))],
+                           dtype=[('f0', int),
+                                  ('f1', [('A', '|S3'), ('B', float)])])
+        assert_equal(test, control)
+
+    def test_flatten_wflexible(self):
+        # Test flatten standard & nested
+        (w, x, _, _) = self.data
+        test = merge_arrays((x, w), flatten=True)
+        control = np.array([(1, 1, 2, 3.0), (2, 4, 5, 6.0)],
+                           dtype=[('f0', int),
+                                  ('a', int), ('ba', float), ('bb', int)])
+        assert_equal(test, control)
+
+        test = merge_arrays((x, w), flatten=False)
+        controldtype = [('f0', int),
+                                ('f1', [('a', int),
+                                        ('b', [('ba', float), ('bb', int), ('bc', [])])])]
+        control = np.array([(1., (1, (2, 3.0, ()))), (2, (4, (5, 6.0, ())))],
+                           dtype=controldtype)
+        assert_equal(test, control)
+
+    def test_wmasked_arrays(self):
+        # Test merge_arrays masked arrays
+        (_, x, _, _) = self.data
+        mx = ma.array([1, 2, 3], mask=[1, 0, 0])
+        test = merge_arrays((x, mx), usemask=True)
+        control = ma.array([(1, 1), (2, 2), (-1, 3)],
+                           mask=[(0, 1), (0, 0), (1, 0)],
+                           dtype=[('f0', int), ('f1', int)])
+        assert_equal(test, control)
+        test = merge_arrays((x, mx), usemask=True, asrecarray=True)
+        assert_equal(test, control)
+        assert_(isinstance(test, MaskedRecords))
+
+    def test_w_singlefield(self):
+        # Test single field
+        test = merge_arrays((np.array([1, 2]).view([('a', int)]),
+                             np.array([10., 20., 30.])),)
+        control = ma.array([(1, 10.), (2, 20.), (-1, 30.)],
+                           mask=[(0, 0), (0, 0), (1, 0)],
+                           dtype=[('a', int), ('f1', float)])
+        assert_equal(test, control)
+
+    def test_w_shorter_flex(self):
+        # Test merge_arrays w/ a shorter flexndarray.
+        z = self.data[-1]
+
+        # Fixme, this test looks incomplete and broken
+        #test = merge_arrays((z, np.array([10, 20, 30]).view([('C', int)])))
+        #control = np.array([('A', 1., 10), ('B', 2., 20), ('-1', -1, 20)],
+        #                   dtype=[('A', '|S3'), ('B', float), ('C', int)])
+        #assert_equal(test, control)
+
+        # Hack to avoid pyflakes warnings about unused variables
+        merge_arrays((z, np.array([10, 20, 30]).view([('C', int)])))
+        np.array([('A', 1., 10), ('B', 2., 20), ('-1', -1, 20)],
+                 dtype=[('A', '|S3'), ('B', float), ('C', int)])
+
+    def test_singlerecord(self):
+        (_, x, y, z) = self.data
+        test = merge_arrays((x[0], y[0], z[0]), usemask=False)
+        control = np.array([(1, 10, ('A', 1))],
+                           dtype=[('f0', int),
+                                  ('f1', int),
+                                  ('f2', [('A', '|S3'), ('B', float)])])
+        assert_equal(test, control)
+
+
+class TestAppendFields:
+    # Test append_fields
+
+    def setup_method(self):
+        x = np.array([1, 2, ])
+        y = np.array([10, 20, 30])
+        z = np.array(
+            [('A', 1.), ('B', 2.)], dtype=[('A', '|S3'), ('B', float)])
+        w = np.array([(1, (2, 3.0)), (4, (5, 6.0))],
+                     dtype=[('a', int), ('b', [('ba', float), ('bb', int)])])
+        self.data = (w, x, y, z)
+
+    def test_append_single(self):
+        # Test simple case
+        (_, x, _, _) = self.data
+        test = append_fields(x, 'A', data=[10, 20, 30])
+        control = ma.array([(1, 10), (2, 20), (-1, 30)],
+                           mask=[(0, 0), (0, 0), (1, 0)],
+                           dtype=[('f0', int), ('A', int)],)
+        assert_equal(test, control)
+
+    def test_append_double(self):
+        # Test simple case
+        (_, x, _, _) = self.data
+        test = append_fields(x, ('A', 'B'), data=[[10, 20, 30], [100, 200]])
+        control = ma.array([(1, 10, 100), (2, 20, 200), (-1, 30, -1)],
+                           mask=[(0, 0, 0), (0, 0, 0), (1, 0, 1)],
+                           dtype=[('f0', int), ('A', int), ('B', int)],)
+        assert_equal(test, control)
+
+    def test_append_on_flex(self):
+        # Test append_fields on flexible type arrays
+        z = self.data[-1]
+        test = append_fields(z, 'C', data=[10, 20, 30])
+        control = ma.array([('A', 1., 10), ('B', 2., 20), (-1, -1., 30)],
+                           mask=[(0, 0, 0), (0, 0, 0), (1, 1, 0)],
+                           dtype=[('A', '|S3'), ('B', float), ('C', int)],)
+        assert_equal(test, control)
+
+    def test_append_on_nested(self):
+        # Test append_fields on nested fields
+        w = self.data[0]
+        test = append_fields(w, 'C', data=[10, 20, 30])
+        control = ma.array([(1, (2, 3.0), 10),
+                            (4, (5, 6.0), 20),
+                            (-1, (-1, -1.), 30)],
+                           mask=[(
+                               0, (0, 0), 0), (0, (0, 0), 0), (1, (1, 1), 0)],
+                           dtype=[('a', int),
+                                  ('b', [('ba', float), ('bb', int)]),
+                                  ('C', int)],)
+        assert_equal(test, control)
+
+
+class TestStackArrays:
+    # Test stack_arrays
+    def setup_method(self):
+        x = np.array([1, 2, ])
+        y = np.array([10, 20, 30])
+        z = np.array(
+            [('A', 1.), ('B', 2.)], dtype=[('A', '|S3'), ('B', float)])
+        w = np.array([(1, (2, 3.0)), (4, (5, 6.0))],
+                     dtype=[('a', int), ('b', [('ba', float), ('bb', int)])])
+        self.data = (w, x, y, z)
+
+    def test_solo(self):
+        # Test stack_arrays on single arrays
+        (_, x, _, _) = self.data
+        test = stack_arrays((x,))
+        assert_equal(test, x)
+        assert_(test is x)
+
+        test = stack_arrays(x)
+        assert_equal(test, x)
+        assert_(test is x)
+
+    def test_unnamed_fields(self):
+        # Tests combinations of arrays w/o named fields
+        (_, x, y, _) = self.data
+
+        test = stack_arrays((x, x), usemask=False)
+        control = np.array([1, 2, 1, 2])
+        assert_equal(test, control)
+
+        test = stack_arrays((x, y), usemask=False)
+        control = np.array([1, 2, 10, 20, 30])
+        assert_equal(test, control)
+
+        test = stack_arrays((y, x), usemask=False)
+        control = np.array([10, 20, 30, 1, 2])
+        assert_equal(test, control)
+
+    def test_unnamed_and_named_fields(self):
+        # Test combination of arrays w/ & w/o named fields
+        (_, x, _, z) = self.data
+
+        test = stack_arrays((x, z))
+        control = ma.array([(1, -1, -1), (2, -1, -1),
+                            (-1, 'A', 1), (-1, 'B', 2)],
+                           mask=[(0, 1, 1), (0, 1, 1),
+                                 (1, 0, 0), (1, 0, 0)],
+                           dtype=[('f0', int), ('A', '|S3'), ('B', float)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+        test = stack_arrays((z, x))
+        control = ma.array([('A', 1, -1), ('B', 2, -1),
+                            (-1, -1, 1), (-1, -1, 2), ],
+                           mask=[(0, 0, 1), (0, 0, 1),
+                                 (1, 1, 0), (1, 1, 0)],
+                           dtype=[('A', '|S3'), ('B', float), ('f2', int)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+        test = stack_arrays((z, z, x))
+        control = ma.array([('A', 1, -1), ('B', 2, -1),
+                            ('A', 1, -1), ('B', 2, -1),
+                            (-1, -1, 1), (-1, -1, 2), ],
+                           mask=[(0, 0, 1), (0, 0, 1),
+                                 (0, 0, 1), (0, 0, 1),
+                                 (1, 1, 0), (1, 1, 0)],
+                           dtype=[('A', '|S3'), ('B', float), ('f2', int)])
+        assert_equal(test, control)
+
+    def test_matching_named_fields(self):
+        # Test combination of arrays w/ matching field names
+        (_, x, _, z) = self.data
+        zz = np.array([('a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)],
+                      dtype=[('A', '|S3'), ('B', float), ('C', float)])
+        test = stack_arrays((z, zz))
+        control = ma.array([('A', 1, -1), ('B', 2, -1),
+                            (
+                                'a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)],
+                           dtype=[('A', '|S3'), ('B', float), ('C', float)],
+                           mask=[(0, 0, 1), (0, 0, 1),
+                                 (0, 0, 0), (0, 0, 0), (0, 0, 0)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+        test = stack_arrays((z, zz, x))
+        ndtype = [('A', '|S3'), ('B', float), ('C', float), ('f3', int)]
+        control = ma.array([('A', 1, -1, -1), ('B', 2, -1, -1),
+                            ('a', 10., 100., -1), ('b', 20., 200., -1),
+                            ('c', 30., 300., -1),
+                            (-1, -1, -1, 1), (-1, -1, -1, 2)],
+                           dtype=ndtype,
+                           mask=[(0, 0, 1, 1), (0, 0, 1, 1),
+                                 (0, 0, 0, 1), (0, 0, 0, 1), (0, 0, 0, 1),
+                                 (1, 1, 1, 0), (1, 1, 1, 0)])
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+    def test_defaults(self):
+        # Test defaults: no exception raised if keys of defaults are not fields.
+        (_, _, _, z) = self.data
+        zz = np.array([('a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)],
+                      dtype=[('A', '|S3'), ('B', float), ('C', float)])
+        defaults = {'A': '???', 'B': -999., 'C': -9999., 'D': -99999.}
+        test = stack_arrays((z, zz), defaults=defaults)
+        control = ma.array([('A', 1, -9999.), ('B', 2, -9999.),
+                            (
+                                'a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)],
+                           dtype=[('A', '|S3'), ('B', float), ('C', float)],
+                           mask=[(0, 0, 1), (0, 0, 1),
+                                 (0, 0, 0), (0, 0, 0), (0, 0, 0)])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+    def test_autoconversion(self):
+        # Tests autoconversion
+        adtype = [('A', int), ('B', bool), ('C', float)]
+        a = ma.array([(1, 2, 3)], mask=[(0, 1, 0)], dtype=adtype)
+        bdtype = [('A', int), ('B', float), ('C', float)]
+        b = ma.array([(4, 5, 6)], dtype=bdtype)
+        control = ma.array([(1, 2, 3), (4, 5, 6)], mask=[(0, 1, 0), (0, 0, 0)],
+                           dtype=bdtype)
+        test = stack_arrays((a, b), autoconvert=True)
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+        with assert_raises(TypeError):
+            stack_arrays((a, b), autoconvert=False)
+
+    def test_checktitles(self):
+        # Test using titles in the field names
+        adtype = [(('a', 'A'), int), (('b', 'B'), bool), (('c', 'C'), float)]
+        a = ma.array([(1, 2, 3)], mask=[(0, 1, 0)], dtype=adtype)
+        bdtype = [(('a', 'A'), int), (('b', 'B'), bool), (('c', 'C'), float)]
+        b = ma.array([(4, 5, 6)], dtype=bdtype)
+        test = stack_arrays((a, b))
+        control = ma.array([(1, 2, 3), (4, 5, 6)], mask=[(0, 1, 0), (0, 0, 0)],
+                           dtype=bdtype)
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+
+    def test_subdtype(self):
+        z = np.array([
+            ('A', 1), ('B', 2)
+        ], dtype=[('A', '|S3'), ('B', float, (1,))])
+        zz = np.array([
+            ('a', [10.], 100.), ('b', [20.], 200.), ('c', [30.], 300.)
+        ], dtype=[('A', '|S3'), ('B', float, (1,)), ('C', float)])
+
+        res = stack_arrays((z, zz))
+        expected = ma.array(
+            data=[
+                (b'A', [1.0], 0),
+                (b'B', [2.0], 0),
+                (b'a', [10.0], 100.0),
+                (b'b', [20.0], 200.0),
+                (b'c', [30.0], 300.0)],
+            mask=[
+                (False, [False],  True),
+                (False, [False],  True),
+                (False, [False], False),
+                (False, [False], False),
+                (False, [False], False)
+            ],
+            dtype=zz.dtype
+        )
+        assert_equal(res.dtype, expected.dtype)
+        assert_equal(res, expected)
+        assert_equal(res.mask, expected.mask)
+
+
+class TestJoinBy:
+    def setup_method(self):
+        self.a = np.array(list(zip(np.arange(10), np.arange(50, 60),
+                                   np.arange(100, 110))),
+                          dtype=[('a', int), ('b', int), ('c', int)])
+        self.b = np.array(list(zip(np.arange(5, 15), np.arange(65, 75),
+                                   np.arange(100, 110))),
+                          dtype=[('a', int), ('b', int), ('d', int)])
+
+    def test_inner_join(self):
+        # Basic test of join_by
+        a, b = self.a, self.b
+
+        test = join_by('a', a, b, jointype='inner')
+        control = np.array([(5, 55, 65, 105, 100), (6, 56, 66, 106, 101),
+                            (7, 57, 67, 107, 102), (8, 58, 68, 108, 103),
+                            (9, 59, 69, 109, 104)],
+                           dtype=[('a', int), ('b1', int), ('b2', int),
+                                  ('c', int), ('d', int)])
+        assert_equal(test, control)
+
+    def test_join(self):
+        a, b = self.a, self.b
+
+        # Fixme, this test is broken
+        #test = join_by(('a', 'b'), a, b)
+        #control = np.array([(5, 55, 105, 100), (6, 56, 106, 101),
+        #                    (7, 57, 107, 102), (8, 58, 108, 103),
+        #                    (9, 59, 109, 104)],
+        #                   dtype=[('a', int), ('b', int),
+        #                          ('c', int), ('d', int)])
+        #assert_equal(test, control)
+
+        # Hack to avoid pyflakes unused variable warnings
+        join_by(('a', 'b'), a, b)
+        np.array([(5, 55, 105, 100), (6, 56, 106, 101),
+                  (7, 57, 107, 102), (8, 58, 108, 103),
+                  (9, 59, 109, 104)],
+                  dtype=[('a', int), ('b', int),
+                         ('c', int), ('d', int)])
+
+    def test_join_subdtype(self):
+        # tests the bug in https://stackoverflow.com/q/44769632/102441
+        foo = np.array([(1,)],
+                       dtype=[('key', int)])
+        bar = np.array([(1, np.array([1,2,3]))],
+                       dtype=[('key', int), ('value', 'uint16', 3)])
+        res = join_by('key', foo, bar)
+        assert_equal(res, bar.view(ma.MaskedArray))
+
+    def test_outer_join(self):
+        a, b = self.a, self.b
+
+        test = join_by(('a', 'b'), a, b, 'outer')
+        control = ma.array([(0, 50, 100, -1), (1, 51, 101, -1),
+                            (2, 52, 102, -1), (3, 53, 103, -1),
+                            (4, 54, 104, -1), (5, 55, 105, -1),
+                            (5, 65, -1, 100), (6, 56, 106, -1),
+                            (6, 66, -1, 101), (7, 57, 107, -1),
+                            (7, 67, -1, 102), (8, 58, 108, -1),
+                            (8, 68, -1, 103), (9, 59, 109, -1),
+                            (9, 69, -1, 104), (10, 70, -1, 105),
+                            (11, 71, -1, 106), (12, 72, -1, 107),
+                            (13, 73, -1, 108), (14, 74, -1, 109)],
+                           mask=[(0, 0, 0, 1), (0, 0, 0, 1),
+                                 (0, 0, 0, 1), (0, 0, 0, 1),
+                                 (0, 0, 0, 1), (0, 0, 0, 1),
+                                 (0, 0, 1, 0), (0, 0, 0, 1),
+                                 (0, 0, 1, 0), (0, 0, 0, 1),
+                                 (0, 0, 1, 0), (0, 0, 0, 1),
+                                 (0, 0, 1, 0), (0, 0, 0, 1),
+                                 (0, 0, 1, 0), (0, 0, 1, 0),
+                                 (0, 0, 1, 0), (0, 0, 1, 0),
+                                 (0, 0, 1, 0), (0, 0, 1, 0)],
+                           dtype=[('a', int), ('b', int),
+                                  ('c', int), ('d', int)])
+        assert_equal(test, control)
+
+    def test_leftouter_join(self):
+        a, b = self.a, self.b
+
+        test = join_by(('a', 'b'), a, b, 'leftouter')
+        control = ma.array([(0, 50, 100, -1), (1, 51, 101, -1),
+                            (2, 52, 102, -1), (3, 53, 103, -1),
+                            (4, 54, 104, -1), (5, 55, 105, -1),
+                            (6, 56, 106, -1), (7, 57, 107, -1),
+                            (8, 58, 108, -1), (9, 59, 109, -1)],
+                           mask=[(0, 0, 0, 1), (0, 0, 0, 1),
+                                 (0, 0, 0, 1), (0, 0, 0, 1),
+                                 (0, 0, 0, 1), (0, 0, 0, 1),
+                                 (0, 0, 0, 1), (0, 0, 0, 1),
+                                 (0, 0, 0, 1), (0, 0, 0, 1)],
+                           dtype=[('a', int), ('b', int), ('c', int), ('d', int)])
+        assert_equal(test, control)
+
+    def test_different_field_order(self):
+        # gh-8940
+        a = np.zeros(3, dtype=[('a', 'i4'), ('b', 'f4'), ('c', 'u1')])
+        b = np.ones(3, dtype=[('c', 'u1'), ('b', 'f4'), ('a', 'i4')])
+        # this should not give a FutureWarning:
+        j = join_by(['c', 'b'], a, b, jointype='inner', usemask=False)
+        assert_equal(j.dtype.names, ['b', 'c', 'a1', 'a2'])
+
+    def test_duplicate_keys(self):
+        a = np.zeros(3, dtype=[('a', 'i4'), ('b', 'f4'), ('c', 'u1')])
+        b = np.ones(3, dtype=[('c', 'u1'), ('b', 'f4'), ('a', 'i4')])
+        assert_raises(ValueError, join_by, ['a', 'b', 'b'], a, b)
+
+    def test_same_name_different_dtypes_key(self):
+        a_dtype = np.dtype([('key', 'S5'), ('value', ' 2**32
+
+
+def _add_keepdims(func):
+    """ hack in keepdims behavior into a function taking an axis """
+    @functools.wraps(func)
+    def wrapped(a, axis, **kwargs):
+        res = func(a, axis=axis, **kwargs)
+        if axis is None:
+            axis = 0  # res is now a scalar, so we can insert this anywhere
+        return np.expand_dims(res, axis=axis)
+    return wrapped
+
+
+class TestTakeAlongAxis:
+    def test_argequivalent(self):
+        """ Test it translates from arg to  """
+        from numpy.random import rand
+        a = rand(3, 4, 5)
+
+        funcs = [
+            (np.sort, np.argsort, dict()),
+            (_add_keepdims(np.min), _add_keepdims(np.argmin), dict()),
+            (_add_keepdims(np.max), _add_keepdims(np.argmax), dict()),
+            #(np.partition, np.argpartition, dict(kth=2)),
+        ]
+
+        for func, argfunc, kwargs in funcs:
+            for axis in list(range(a.ndim)) + [None]:
+                a_func = func(a, axis=axis, **kwargs)
+                ai_func = argfunc(a, axis=axis, **kwargs)
+                assert_equal(a_func, take_along_axis(a, ai_func, axis=axis))
+
+    def test_invalid(self):
+        """ Test it errors when indices has too few dimensions """
+        a = np.ones((10, 10))
+        ai = np.ones((10, 2), dtype=np.intp)
+
+        # sanity check
+        take_along_axis(a, ai, axis=1)
+
+        # not enough indices
+        assert_raises(ValueError, take_along_axis, a, np.array(1), axis=1)
+        # bool arrays not allowed
+        assert_raises(IndexError, take_along_axis, a, ai.astype(bool), axis=1)
+        # float arrays not allowed
+        assert_raises(IndexError, take_along_axis, a, ai.astype(float), axis=1)
+        # invalid axis
+        assert_raises(AxisError, take_along_axis, a, ai, axis=10)
+        # invalid indices
+        assert_raises(ValueError, take_along_axis, a, ai, axis=None)
+
+    def test_empty(self):
+        """ Test everything is ok with empty results, even with inserted dims """
+        a  = np.ones((3, 4, 5))
+        ai = np.ones((3, 0, 5), dtype=np.intp)
+
+        actual = take_along_axis(a, ai, axis=1)
+        assert_equal(actual.shape, ai.shape)
+
+    def test_broadcast(self):
+        """ Test that non-indexing dimensions are broadcast in both directions """
+        a  = np.ones((3, 4, 1))
+        ai = np.ones((1, 2, 5), dtype=np.intp)
+        actual = take_along_axis(a, ai, axis=1)
+        assert_equal(actual.shape, (3, 2, 5))
+
+
+class TestPutAlongAxis:
+    def test_replace_max(self):
+        a_base = np.array([[10, 30, 20], [60, 40, 50]])
+
+        for axis in list(range(a_base.ndim)) + [None]:
+            # we mutate this in the loop
+            a = a_base.copy()
+
+            # replace the max with a small value
+            i_max = _add_keepdims(np.argmax)(a, axis=axis)
+            put_along_axis(a, i_max, -99, axis=axis)
+
+            # find the new minimum, which should max
+            i_min = _add_keepdims(np.argmin)(a, axis=axis)
+
+            assert_equal(i_min, i_max)
+
+    def test_broadcast(self):
+        """ Test that non-indexing dimensions are broadcast in both directions """
+        a  = np.ones((3, 4, 1))
+        ai = np.arange(10, dtype=np.intp).reshape((1, 2, 5)) % 4
+        put_along_axis(a, ai, 20, axis=1)
+        assert_equal(take_along_axis(a, ai, axis=1), 20)
+
+    def test_invalid(self):
+        """ Test invalid inputs """
+        a_base = np.array([[10, 30, 20], [60, 40, 50]])
+        indices = np.array([[0], [1]])
+        values = np.array([[2], [1]])
+
+        # sanity check
+        a = a_base.copy()
+        put_along_axis(a, indices, values, axis=0)
+        assert np.all(a == [[2, 2, 2], [1, 1, 1]])
+
+        # invalid indices
+        a = a_base.copy()
+        with assert_raises(ValueError) as exc:
+            put_along_axis(a, indices, values, axis=None)
+        assert "single dimension" in str(exc.exception)
+
+
+
+class TestApplyAlongAxis:
+    def test_simple(self):
+        a = np.ones((20, 10), 'd')
+        assert_array_equal(
+            apply_along_axis(len, 0, a), len(a)*np.ones(a.shape[1]))
+
+    def test_simple101(self):
+        a = np.ones((10, 101), 'd')
+        assert_array_equal(
+            apply_along_axis(len, 0, a), len(a)*np.ones(a.shape[1]))
+
+    def test_3d(self):
+        a = np.arange(27).reshape((3, 3, 3))
+        assert_array_equal(apply_along_axis(np.sum, 0, a),
+                           [[27, 30, 33], [36, 39, 42], [45, 48, 51]])
+
+    def test_preserve_subclass(self):
+        def double(row):
+            return row * 2
+
+        class MyNDArray(np.ndarray):
+            pass
+
+        m = np.array([[0, 1], [2, 3]]).view(MyNDArray)
+        expected = np.array([[0, 2], [4, 6]]).view(MyNDArray)
+
+        result = apply_along_axis(double, 0, m)
+        assert_(isinstance(result, MyNDArray))
+        assert_array_equal(result, expected)
+
+        result = apply_along_axis(double, 1, m)
+        assert_(isinstance(result, MyNDArray))
+        assert_array_equal(result, expected)
+
+    def test_subclass(self):
+        class MinimalSubclass(np.ndarray):
+            data = 1
+
+        def minimal_function(array):
+            return array.data
+
+        a = np.zeros((6, 3)).view(MinimalSubclass)
+
+        assert_array_equal(
+            apply_along_axis(minimal_function, 0, a), np.array([1, 1, 1])
+        )
+
+    def test_scalar_array(self, cls=np.ndarray):
+        a = np.ones((6, 3)).view(cls)
+        res = apply_along_axis(np.sum, 0, a)
+        assert_(isinstance(res, cls))
+        assert_array_equal(res, np.array([6, 6, 6]).view(cls))
+
+    def test_0d_array(self, cls=np.ndarray):
+        def sum_to_0d(x):
+            """ Sum x, returning a 0d array of the same class """
+            assert_equal(x.ndim, 1)
+            return np.squeeze(np.sum(x, keepdims=True))
+        a = np.ones((6, 3)).view(cls)
+        res = apply_along_axis(sum_to_0d, 0, a)
+        assert_(isinstance(res, cls))
+        assert_array_equal(res, np.array([6, 6, 6]).view(cls))
+
+        res = apply_along_axis(sum_to_0d, 1, a)
+        assert_(isinstance(res, cls))
+        assert_array_equal(res, np.array([3, 3, 3, 3, 3, 3]).view(cls))
+
+    def test_axis_insertion(self, cls=np.ndarray):
+        def f1to2(x):
+            """produces an asymmetric non-square matrix from x"""
+            assert_equal(x.ndim, 1)
+            return (x[::-1] * x[1:,None]).view(cls)
+
+        a2d = np.arange(6*3).reshape((6, 3))
+
+        # 2d insertion along first axis
+        actual = apply_along_axis(f1to2, 0, a2d)
+        expected = np.stack([
+            f1to2(a2d[:,i]) for i in range(a2d.shape[1])
+        ], axis=-1).view(cls)
+        assert_equal(type(actual), type(expected))
+        assert_equal(actual, expected)
+
+        # 2d insertion along last axis
+        actual = apply_along_axis(f1to2, 1, a2d)
+        expected = np.stack([
+            f1to2(a2d[i,:]) for i in range(a2d.shape[0])
+        ], axis=0).view(cls)
+        assert_equal(type(actual), type(expected))
+        assert_equal(actual, expected)
+
+        # 3d insertion along middle axis
+        a3d = np.arange(6*5*3).reshape((6, 5, 3))
+
+        actual = apply_along_axis(f1to2, 1, a3d)
+        expected = np.stack([
+            np.stack([
+                f1to2(a3d[i,:,j]) for i in range(a3d.shape[0])
+            ], axis=0)
+            for j in range(a3d.shape[2])
+        ], axis=-1).view(cls)
+        assert_equal(type(actual), type(expected))
+        assert_equal(actual, expected)
+
+    def test_subclass_preservation(self):
+        class MinimalSubclass(np.ndarray):
+            pass
+        self.test_scalar_array(MinimalSubclass)
+        self.test_0d_array(MinimalSubclass)
+        self.test_axis_insertion(MinimalSubclass)
+
+    def test_axis_insertion_ma(self):
+        def f1to2(x):
+            """produces an asymmetric non-square matrix from x"""
+            assert_equal(x.ndim, 1)
+            res = x[::-1] * x[1:,None]
+            return np.ma.masked_where(res%5==0, res)
+        a = np.arange(6*3).reshape((6, 3))
+        res = apply_along_axis(f1to2, 0, a)
+        assert_(isinstance(res, np.ma.masked_array))
+        assert_equal(res.ndim, 3)
+        assert_array_equal(res[:,:,0].mask, f1to2(a[:,0]).mask)
+        assert_array_equal(res[:,:,1].mask, f1to2(a[:,1]).mask)
+        assert_array_equal(res[:,:,2].mask, f1to2(a[:,2]).mask)
+
+    def test_tuple_func1d(self):
+        def sample_1d(x):
+            return x[1], x[0]
+        res = np.apply_along_axis(sample_1d, 1, np.array([[1, 2], [3, 4]]))
+        assert_array_equal(res, np.array([[2, 1], [4, 3]]))
+
+    def test_empty(self):
+        # can't apply_along_axis when there's no chance to call the function
+        def never_call(x):
+            assert_(False) # should never be reached
+
+        a = np.empty((0, 0))
+        assert_raises(ValueError, np.apply_along_axis, never_call, 0, a)
+        assert_raises(ValueError, np.apply_along_axis, never_call, 1, a)
+
+        # but it's sometimes ok with some non-zero dimensions
+        def empty_to_1(x):
+            assert_(len(x) == 0)
+            return 1
+
+        a = np.empty((10, 0))
+        actual = np.apply_along_axis(empty_to_1, 1, a)
+        assert_equal(actual, np.ones(10))
+        assert_raises(ValueError, np.apply_along_axis, empty_to_1, 0, a)
+
+    def test_with_iterable_object(self):
+        # from issue 5248
+        d = np.array([
+            [{1, 11}, {2, 22}, {3, 33}],
+            [{4, 44}, {5, 55}, {6, 66}]
+        ])
+        actual = np.apply_along_axis(lambda a: set.union(*a), 0, d)
+        expected = np.array([{1, 11, 4, 44}, {2, 22, 5, 55}, {3, 33, 6, 66}])
+
+        assert_equal(actual, expected)
+
+        # issue 8642 - assert_equal doesn't detect this!
+        for i in np.ndindex(actual.shape):
+            assert_equal(type(actual[i]), type(expected[i]))
+
+
+class TestApplyOverAxes:
+    def test_simple(self):
+        a = np.arange(24).reshape(2, 3, 4)
+        aoa_a = apply_over_axes(np.sum, a, [0, 2])
+        assert_array_equal(aoa_a, np.array([[[60], [92], [124]]]))
+
+
+class TestExpandDims:
+    def test_functionality(self):
+        s = (2, 3, 4, 5)
+        a = np.empty(s)
+        for axis in range(-5, 4):
+            b = expand_dims(a, axis)
+            assert_(b.shape[axis] == 1)
+            assert_(np.squeeze(b).shape == s)
+
+    def test_axis_tuple(self):
+        a = np.empty((3, 3, 3))
+        assert np.expand_dims(a, axis=(0, 1, 2)).shape == (1, 1, 1, 3, 3, 3)
+        assert np.expand_dims(a, axis=(0, -1, -2)).shape == (1, 3, 3, 3, 1, 1)
+        assert np.expand_dims(a, axis=(0, 3, 5)).shape == (1, 3, 3, 1, 3, 1)
+        assert np.expand_dims(a, axis=(0, -3, -5)).shape == (1, 1, 3, 1, 3, 3)
+
+    def test_axis_out_of_range(self):
+        s = (2, 3, 4, 5)
+        a = np.empty(s)
+        assert_raises(AxisError, expand_dims, a, -6)
+        assert_raises(AxisError, expand_dims, a, 5)
+
+        a = np.empty((3, 3, 3))
+        assert_raises(AxisError, expand_dims, a, (0, -6))
+        assert_raises(AxisError, expand_dims, a, (0, 5))
+
+    def test_repeated_axis(self):
+        a = np.empty((3, 3, 3))
+        assert_raises(ValueError, expand_dims, a, axis=(1, 1))
+
+    def test_subclasses(self):
+        a = np.arange(10).reshape((2, 5))
+        a = np.ma.array(a, mask=a%3 == 0)
+
+        expanded = np.expand_dims(a, axis=1)
+        assert_(isinstance(expanded, np.ma.MaskedArray))
+        assert_equal(expanded.shape, (2, 1, 5))
+        assert_equal(expanded.mask.shape, (2, 1, 5))
+
+
+class TestArraySplit:
+    def test_integer_0_split(self):
+        a = np.arange(10)
+        assert_raises(ValueError, array_split, a, 0)
+
+    def test_integer_split(self):
+        a = np.arange(10)
+        res = array_split(a, 1)
+        desired = [np.arange(10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 2)
+        desired = [np.arange(5), np.arange(5, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 3)
+        desired = [np.arange(4), np.arange(4, 7), np.arange(7, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 4)
+        desired = [np.arange(3), np.arange(3, 6), np.arange(6, 8),
+                   np.arange(8, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 5)
+        desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6),
+                   np.arange(6, 8), np.arange(8, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 6)
+        desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6),
+                   np.arange(6, 8), np.arange(8, 9), np.arange(9, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 7)
+        desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6),
+                   np.arange(6, 7), np.arange(7, 8), np.arange(8, 9),
+                   np.arange(9, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 8)
+        desired = [np.arange(2), np.arange(2, 4), np.arange(4, 5),
+                   np.arange(5, 6), np.arange(6, 7), np.arange(7, 8),
+                   np.arange(8, 9), np.arange(9, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 9)
+        desired = [np.arange(2), np.arange(2, 3), np.arange(3, 4),
+                   np.arange(4, 5), np.arange(5, 6), np.arange(6, 7),
+                   np.arange(7, 8), np.arange(8, 9), np.arange(9, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 10)
+        desired = [np.arange(1), np.arange(1, 2), np.arange(2, 3),
+                   np.arange(3, 4), np.arange(4, 5), np.arange(5, 6),
+                   np.arange(6, 7), np.arange(7, 8), np.arange(8, 9),
+                   np.arange(9, 10)]
+        compare_results(res, desired)
+
+        res = array_split(a, 11)
+        desired = [np.arange(1), np.arange(1, 2), np.arange(2, 3),
+                   np.arange(3, 4), np.arange(4, 5), np.arange(5, 6),
+                   np.arange(6, 7), np.arange(7, 8), np.arange(8, 9),
+                   np.arange(9, 10), np.array([])]
+        compare_results(res, desired)
+
+    def test_integer_split_2D_rows(self):
+        a = np.array([np.arange(10), np.arange(10)])
+        res = array_split(a, 3, axis=0)
+        tgt = [np.array([np.arange(10)]), np.array([np.arange(10)]),
+                   np.zeros((0, 10))]
+        compare_results(res, tgt)
+        assert_(a.dtype.type is res[-1].dtype.type)
+
+        # Same thing for manual splits:
+        res = array_split(a, [0, 1], axis=0)
+        tgt = [np.zeros((0, 10)), np.array([np.arange(10)]),
+               np.array([np.arange(10)])]
+        compare_results(res, tgt)
+        assert_(a.dtype.type is res[-1].dtype.type)
+
+    def test_integer_split_2D_cols(self):
+        a = np.array([np.arange(10), np.arange(10)])
+        res = array_split(a, 3, axis=-1)
+        desired = [np.array([np.arange(4), np.arange(4)]),
+                   np.array([np.arange(4, 7), np.arange(4, 7)]),
+                   np.array([np.arange(7, 10), np.arange(7, 10)])]
+        compare_results(res, desired)
+
+    def test_integer_split_2D_default(self):
+        """ This will fail if we change default axis
+        """
+        a = np.array([np.arange(10), np.arange(10)])
+        res = array_split(a, 3)
+        tgt = [np.array([np.arange(10)]), np.array([np.arange(10)]),
+                   np.zeros((0, 10))]
+        compare_results(res, tgt)
+        assert_(a.dtype.type is res[-1].dtype.type)
+        # perhaps should check higher dimensions
+
+    @pytest.mark.skipif(not IS_64BIT, reason="Needs 64bit platform")
+    def test_integer_split_2D_rows_greater_max_int32(self):
+        a = np.broadcast_to([0], (1 << 32, 2))
+        res = array_split(a, 4)
+        chunk = np.broadcast_to([0], (1 << 30, 2))
+        tgt = [chunk] * 4
+        for i in range(len(tgt)):
+            assert_equal(res[i].shape, tgt[i].shape)
+
+    def test_index_split_simple(self):
+        a = np.arange(10)
+        indices = [1, 5, 7]
+        res = array_split(a, indices, axis=-1)
+        desired = [np.arange(0, 1), np.arange(1, 5), np.arange(5, 7),
+                   np.arange(7, 10)]
+        compare_results(res, desired)
+
+    def test_index_split_low_bound(self):
+        a = np.arange(10)
+        indices = [0, 5, 7]
+        res = array_split(a, indices, axis=-1)
+        desired = [np.array([]), np.arange(0, 5), np.arange(5, 7),
+                   np.arange(7, 10)]
+        compare_results(res, desired)
+
+    def test_index_split_high_bound(self):
+        a = np.arange(10)
+        indices = [0, 5, 7, 10, 12]
+        res = array_split(a, indices, axis=-1)
+        desired = [np.array([]), np.arange(0, 5), np.arange(5, 7),
+                   np.arange(7, 10), np.array([]), np.array([])]
+        compare_results(res, desired)
+
+
+class TestSplit:
+    # The split function is essentially the same as array_split,
+    # except that it test if splitting will result in an
+    # equal split.  Only test for this case.
+
+    def test_equal_split(self):
+        a = np.arange(10)
+        res = split(a, 2)
+        desired = [np.arange(5), np.arange(5, 10)]
+        compare_results(res, desired)
+
+    def test_unequal_split(self):
+        a = np.arange(10)
+        assert_raises(ValueError, split, a, 3)
+
+
+class TestColumnStack:
+    def test_non_iterable(self):
+        assert_raises(TypeError, column_stack, 1)
+
+    def test_1D_arrays(self):
+        # example from docstring
+        a = np.array((1, 2, 3))
+        b = np.array((2, 3, 4))
+        expected = np.array([[1, 2],
+                             [2, 3],
+                             [3, 4]])
+        actual = np.column_stack((a, b))
+        assert_equal(actual, expected)
+
+    def test_2D_arrays(self):
+        # same as hstack 2D docstring example
+        a = np.array([[1], [2], [3]])
+        b = np.array([[2], [3], [4]])
+        expected = np.array([[1, 2],
+                             [2, 3],
+                             [3, 4]])
+        actual = np.column_stack((a, b))
+        assert_equal(actual, expected)
+
+    def test_generator(self):
+        with pytest.raises(TypeError, match="arrays to stack must be"):
+            column_stack(np.arange(3) for _ in range(2))
+
+
+class TestDstack:
+    def test_non_iterable(self):
+        assert_raises(TypeError, dstack, 1)
+
+    def test_0D_array(self):
+        a = np.array(1)
+        b = np.array(2)
+        res = dstack([a, b])
+        desired = np.array([[[1, 2]]])
+        assert_array_equal(res, desired)
+
+    def test_1D_array(self):
+        a = np.array([1])
+        b = np.array([2])
+        res = dstack([a, b])
+        desired = np.array([[[1, 2]]])
+        assert_array_equal(res, desired)
+
+    def test_2D_array(self):
+        a = np.array([[1], [2]])
+        b = np.array([[1], [2]])
+        res = dstack([a, b])
+        desired = np.array([[[1, 1]], [[2, 2, ]]])
+        assert_array_equal(res, desired)
+
+    def test_2D_array2(self):
+        a = np.array([1, 2])
+        b = np.array([1, 2])
+        res = dstack([a, b])
+        desired = np.array([[[1, 1], [2, 2]]])
+        assert_array_equal(res, desired)
+
+    def test_generator(self):
+        with pytest.raises(TypeError, match="arrays to stack must be"):
+            dstack(np.arange(3) for _ in range(2))
+
+
+# array_split has more comprehensive test of splitting.
+# only do simple test on hsplit, vsplit, and dsplit
+class TestHsplit:
+    """Only testing for integer splits.
+
+    """
+    def test_non_iterable(self):
+        assert_raises(ValueError, hsplit, 1, 1)
+
+    def test_0D_array(self):
+        a = np.array(1)
+        try:
+            hsplit(a, 2)
+            assert_(0)
+        except ValueError:
+            pass
+
+    def test_1D_array(self):
+        a = np.array([1, 2, 3, 4])
+        res = hsplit(a, 2)
+        desired = [np.array([1, 2]), np.array([3, 4])]
+        compare_results(res, desired)
+
+    def test_2D_array(self):
+        a = np.array([[1, 2, 3, 4],
+                  [1, 2, 3, 4]])
+        res = hsplit(a, 2)
+        desired = [np.array([[1, 2], [1, 2]]), np.array([[3, 4], [3, 4]])]
+        compare_results(res, desired)
+
+
+class TestVsplit:
+    """Only testing for integer splits.
+
+    """
+    def test_non_iterable(self):
+        assert_raises(ValueError, vsplit, 1, 1)
+
+    def test_0D_array(self):
+        a = np.array(1)
+        assert_raises(ValueError, vsplit, a, 2)
+
+    def test_1D_array(self):
+        a = np.array([1, 2, 3, 4])
+        try:
+            vsplit(a, 2)
+            assert_(0)
+        except ValueError:
+            pass
+
+    def test_2D_array(self):
+        a = np.array([[1, 2, 3, 4],
+                  [1, 2, 3, 4]])
+        res = vsplit(a, 2)
+        desired = [np.array([[1, 2, 3, 4]]), np.array([[1, 2, 3, 4]])]
+        compare_results(res, desired)
+
+
+class TestDsplit:
+    # Only testing for integer splits.
+    def test_non_iterable(self):
+        assert_raises(ValueError, dsplit, 1, 1)
+
+    def test_0D_array(self):
+        a = np.array(1)
+        assert_raises(ValueError, dsplit, a, 2)
+
+    def test_1D_array(self):
+        a = np.array([1, 2, 3, 4])
+        assert_raises(ValueError, dsplit, a, 2)
+
+    def test_2D_array(self):
+        a = np.array([[1, 2, 3, 4],
+                  [1, 2, 3, 4]])
+        try:
+            dsplit(a, 2)
+            assert_(0)
+        except ValueError:
+            pass
+
+    def test_3D_array(self):
+        a = np.array([[[1, 2, 3, 4],
+                   [1, 2, 3, 4]],
+                  [[1, 2, 3, 4],
+                   [1, 2, 3, 4]]])
+        res = dsplit(a, 2)
+        desired = [np.array([[[1, 2], [1, 2]], [[1, 2], [1, 2]]]),
+                   np.array([[[3, 4], [3, 4]], [[3, 4], [3, 4]]])]
+        compare_results(res, desired)
+
+
+class TestSqueeze:
+    def test_basic(self):
+        from numpy.random import rand
+
+        a = rand(20, 10, 10, 1, 1)
+        b = rand(20, 1, 10, 1, 20)
+        c = rand(1, 1, 20, 10)
+        assert_array_equal(np.squeeze(a), np.reshape(a, (20, 10, 10)))
+        assert_array_equal(np.squeeze(b), np.reshape(b, (20, 10, 20)))
+        assert_array_equal(np.squeeze(c), np.reshape(c, (20, 10)))
+
+        # Squeezing to 0-dim should still give an ndarray
+        a = [[[1.5]]]
+        res = np.squeeze(a)
+        assert_equal(res, 1.5)
+        assert_equal(res.ndim, 0)
+        assert_equal(type(res), np.ndarray)
+
+
+class TestKron:
+    def test_basic(self):
+        # Using 0-dimensional ndarray
+        a = np.array(1)
+        b = np.array([[1, 2], [3, 4]])
+        k = np.array([[1, 2], [3, 4]])
+        assert_array_equal(np.kron(a, b), k)
+        a = np.array([[1, 2], [3, 4]])
+        b = np.array(1)
+        assert_array_equal(np.kron(a, b), k)
+
+        # Using 1-dimensional ndarray
+        a = np.array([3])
+        b = np.array([[1, 2], [3, 4]])
+        k = np.array([[3, 6], [9, 12]])
+        assert_array_equal(np.kron(a, b), k)
+        a = np.array([[1, 2], [3, 4]])
+        b = np.array([3])
+        assert_array_equal(np.kron(a, b), k)
+
+        # Using 3-dimensional ndarray
+        a = np.array([[[1]], [[2]]])
+        b = np.array([[1, 2], [3, 4]])
+        k = np.array([[[1, 2], [3, 4]], [[2, 4], [6, 8]]])
+        assert_array_equal(np.kron(a, b), k)
+        a = np.array([[1, 2], [3, 4]])
+        b = np.array([[[1]], [[2]]])
+        k = np.array([[[1, 2], [3, 4]], [[2, 4], [6, 8]]])
+        assert_array_equal(np.kron(a, b), k)
+
+    def test_return_type(self):
+        class myarray(np.ndarray):
+            __array_priority__ = 1.0
+
+        a = np.ones([2, 2])
+        ma = myarray(a.shape, a.dtype, a.data)
+        assert_equal(type(kron(a, a)), np.ndarray)
+        assert_equal(type(kron(ma, ma)), myarray)
+        assert_equal(type(kron(a, ma)), myarray)
+        assert_equal(type(kron(ma, a)), myarray)
+
+    @pytest.mark.parametrize(
+        "array_class", [np.asarray, np.asmatrix]
+    )
+    def test_kron_smoke(self, array_class):
+        a = array_class(np.ones([3, 3]))
+        b = array_class(np.ones([3, 3]))
+        k = array_class(np.ones([9, 9]))
+
+        assert_array_equal(np.kron(a, b), k)
+
+    def test_kron_ma(self):
+        x = np.ma.array([[1, 2], [3, 4]], mask=[[0, 1], [1, 0]])
+        k = np.ma.array(np.diag([1, 4, 4, 16]),
+                mask=~np.array(np.identity(4), dtype=bool))
+
+        assert_array_equal(k, np.kron(x, x))
+
+    @pytest.mark.parametrize(
+        "shape_a,shape_b", [
+            ((1, 1), (1, 1)),
+            ((1, 2, 3), (4, 5, 6)),
+            ((2, 2), (2, 2, 2)),
+            ((1, 0), (1, 1)),
+            ((2, 0, 2), (2, 2)),
+            ((2, 0, 0, 2), (2, 0, 2)),
+        ])
+    def test_kron_shape(self, shape_a, shape_b):
+        a = np.ones(shape_a)
+        b = np.ones(shape_b)
+        normalised_shape_a = (1,) * max(0, len(shape_b)-len(shape_a)) + shape_a
+        normalised_shape_b = (1,) * max(0, len(shape_a)-len(shape_b)) + shape_b
+        expected_shape = np.multiply(normalised_shape_a, normalised_shape_b)
+
+        k = np.kron(a, b)
+        assert np.array_equal(
+                k.shape, expected_shape), "Unexpected shape from kron"
+
+
+class TestTile:
+    def test_basic(self):
+        a = np.array([0, 1, 2])
+        b = [[1, 2], [3, 4]]
+        assert_equal(tile(a, 2), [0, 1, 2, 0, 1, 2])
+        assert_equal(tile(a, (2, 2)), [[0, 1, 2, 0, 1, 2], [0, 1, 2, 0, 1, 2]])
+        assert_equal(tile(a, (1, 2)), [[0, 1, 2, 0, 1, 2]])
+        assert_equal(tile(b, 2), [[1, 2, 1, 2], [3, 4, 3, 4]])
+        assert_equal(tile(b, (2, 1)), [[1, 2], [3, 4], [1, 2], [3, 4]])
+        assert_equal(tile(b, (2, 2)), [[1, 2, 1, 2], [3, 4, 3, 4],
+                                       [1, 2, 1, 2], [3, 4, 3, 4]])
+
+    def test_tile_one_repetition_on_array_gh4679(self):
+        a = np.arange(5)
+        b = tile(a, 1)
+        b += 2
+        assert_equal(a, np.arange(5))
+
+    def test_empty(self):
+        a = np.array([[[]]])
+        b = np.array([[], []])
+        c = tile(b, 2).shape
+        d = tile(a, (3, 2, 5)).shape
+        assert_equal(c, (2, 0))
+        assert_equal(d, (3, 2, 0))
+
+    def test_kroncompare(self):
+        from numpy.random import randint
+
+        reps = [(2,), (1, 2), (2, 1), (2, 2), (2, 3, 2), (3, 2)]
+        shape = [(3,), (2, 3), (3, 4, 3), (3, 2, 3), (4, 3, 2, 4), (2, 2)]
+        for s in shape:
+            b = randint(0, 10, size=s)
+            for r in reps:
+                a = np.ones(r, b.dtype)
+                large = tile(b, r)
+                klarge = kron(a, b)
+                assert_equal(large, klarge)
+
+
+class TestMayShareMemory:
+    def test_basic(self):
+        d = np.ones((50, 60))
+        d2 = np.ones((30, 60, 6))
+        assert_(np.may_share_memory(d, d))
+        assert_(np.may_share_memory(d, d[::-1]))
+        assert_(np.may_share_memory(d, d[::2]))
+        assert_(np.may_share_memory(d, d[1:, ::-1]))
+
+        assert_(not np.may_share_memory(d[::-1], d2))
+        assert_(not np.may_share_memory(d[::2], d2))
+        assert_(not np.may_share_memory(d[1:, ::-1], d2))
+        assert_(np.may_share_memory(d2[1:, ::-1], d2))
+
+
+# Utility
+def compare_results(res, desired):
+    """Compare lists of arrays."""
+    if len(res) != len(desired):
+        raise ValueError("Iterables have different lengths")
+    # See also PEP 618 for Python 3.10
+    for x, y in zip(res, desired):
+        assert_array_equal(x, y)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_stride_tricks.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_stride_tricks.py
new file mode 100644
index 0000000000000000000000000000000000000000..3cbebbdd552eb92b3072b4e7286f29a09328358a
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_stride_tricks.py
@@ -0,0 +1,647 @@
+import numpy as np
+from numpy._core._rational_tests import rational
+from numpy.testing import (
+    assert_equal, assert_array_equal, assert_raises, assert_,
+    assert_raises_regex, assert_warns,
+    )
+from numpy.lib._stride_tricks_impl import (
+    as_strided, broadcast_arrays, _broadcast_shape, broadcast_to,
+    broadcast_shapes, sliding_window_view,
+    )
+import pytest
+
+
+def assert_shapes_correct(input_shapes, expected_shape):
+    # Broadcast a list of arrays with the given input shapes and check the
+    # common output shape.
+
+    inarrays = [np.zeros(s) for s in input_shapes]
+    outarrays = broadcast_arrays(*inarrays)
+    outshapes = [a.shape for a in outarrays]
+    expected = [expected_shape] * len(inarrays)
+    assert_equal(outshapes, expected)
+
+
+def assert_incompatible_shapes_raise(input_shapes):
+    # Broadcast a list of arrays with the given (incompatible) input shapes
+    # and check that they raise a ValueError.
+
+    inarrays = [np.zeros(s) for s in input_shapes]
+    assert_raises(ValueError, broadcast_arrays, *inarrays)
+
+
+def assert_same_as_ufunc(shape0, shape1, transposed=False, flipped=False):
+    # Broadcast two shapes against each other and check that the data layout
+    # is the same as if a ufunc did the broadcasting.
+
+    x0 = np.zeros(shape0, dtype=int)
+    # Note that multiply.reduce's identity element is 1.0, so when shape1==(),
+    # this gives the desired n==1.
+    n = int(np.multiply.reduce(shape1))
+    x1 = np.arange(n).reshape(shape1)
+    if transposed:
+        x0 = x0.T
+        x1 = x1.T
+    if flipped:
+        x0 = x0[::-1]
+        x1 = x1[::-1]
+    # Use the add ufunc to do the broadcasting. Since we're adding 0s to x1, the
+    # result should be exactly the same as the broadcasted view of x1.
+    y = x0 + x1
+    b0, b1 = broadcast_arrays(x0, x1)
+    assert_array_equal(y, b1)
+
+
+def test_same():
+    x = np.arange(10)
+    y = np.arange(10)
+    bx, by = broadcast_arrays(x, y)
+    assert_array_equal(x, bx)
+    assert_array_equal(y, by)
+
+def test_broadcast_kwargs():
+    # ensure that a TypeError is appropriately raised when
+    # np.broadcast_arrays() is called with any keyword
+    # argument other than 'subok'
+    x = np.arange(10)
+    y = np.arange(10)
+
+    with assert_raises_regex(TypeError, 'got an unexpected keyword'):
+        broadcast_arrays(x, y, dtype='float64')
+
+
+def test_one_off():
+    x = np.array([[1, 2, 3]])
+    y = np.array([[1], [2], [3]])
+    bx, by = broadcast_arrays(x, y)
+    bx0 = np.array([[1, 2, 3], [1, 2, 3], [1, 2, 3]])
+    by0 = bx0.T
+    assert_array_equal(bx0, bx)
+    assert_array_equal(by0, by)
+
+
+def test_same_input_shapes():
+    # Check that the final shape is just the input shape.
+
+    data = [
+        (),
+        (1,),
+        (3,),
+        (0, 1),
+        (0, 3),
+        (1, 0),
+        (3, 0),
+        (1, 3),
+        (3, 1),
+        (3, 3),
+    ]
+    for shape in data:
+        input_shapes = [shape]
+        # Single input.
+        assert_shapes_correct(input_shapes, shape)
+        # Double input.
+        input_shapes2 = [shape, shape]
+        assert_shapes_correct(input_shapes2, shape)
+        # Triple input.
+        input_shapes3 = [shape, shape, shape]
+        assert_shapes_correct(input_shapes3, shape)
+
+
+def test_two_compatible_by_ones_input_shapes():
+    # Check that two different input shapes of the same length, but some have
+    # ones, broadcast to the correct shape.
+
+    data = [
+        [[(1,), (3,)], (3,)],
+        [[(1, 3), (3, 3)], (3, 3)],
+        [[(3, 1), (3, 3)], (3, 3)],
+        [[(1, 3), (3, 1)], (3, 3)],
+        [[(1, 1), (3, 3)], (3, 3)],
+        [[(1, 1), (1, 3)], (1, 3)],
+        [[(1, 1), (3, 1)], (3, 1)],
+        [[(1, 0), (0, 0)], (0, 0)],
+        [[(0, 1), (0, 0)], (0, 0)],
+        [[(1, 0), (0, 1)], (0, 0)],
+        [[(1, 1), (0, 0)], (0, 0)],
+        [[(1, 1), (1, 0)], (1, 0)],
+        [[(1, 1), (0, 1)], (0, 1)],
+    ]
+    for input_shapes, expected_shape in data:
+        assert_shapes_correct(input_shapes, expected_shape)
+        # Reverse the input shapes since broadcasting should be symmetric.
+        assert_shapes_correct(input_shapes[::-1], expected_shape)
+
+
+def test_two_compatible_by_prepending_ones_input_shapes():
+    # Check that two different input shapes (of different lengths) broadcast
+    # to the correct shape.
+
+    data = [
+        [[(), (3,)], (3,)],
+        [[(3,), (3, 3)], (3, 3)],
+        [[(3,), (3, 1)], (3, 3)],
+        [[(1,), (3, 3)], (3, 3)],
+        [[(), (3, 3)], (3, 3)],
+        [[(1, 1), (3,)], (1, 3)],
+        [[(1,), (3, 1)], (3, 1)],
+        [[(1,), (1, 3)], (1, 3)],
+        [[(), (1, 3)], (1, 3)],
+        [[(), (3, 1)], (3, 1)],
+        [[(), (0,)], (0,)],
+        [[(0,), (0, 0)], (0, 0)],
+        [[(0,), (0, 1)], (0, 0)],
+        [[(1,), (0, 0)], (0, 0)],
+        [[(), (0, 0)], (0, 0)],
+        [[(1, 1), (0,)], (1, 0)],
+        [[(1,), (0, 1)], (0, 1)],
+        [[(1,), (1, 0)], (1, 0)],
+        [[(), (1, 0)], (1, 0)],
+        [[(), (0, 1)], (0, 1)],
+    ]
+    for input_shapes, expected_shape in data:
+        assert_shapes_correct(input_shapes, expected_shape)
+        # Reverse the input shapes since broadcasting should be symmetric.
+        assert_shapes_correct(input_shapes[::-1], expected_shape)
+
+
+def test_incompatible_shapes_raise_valueerror():
+    # Check that a ValueError is raised for incompatible shapes.
+
+    data = [
+        [(3,), (4,)],
+        [(2, 3), (2,)],
+        [(3,), (3,), (4,)],
+        [(1, 3, 4), (2, 3, 3)],
+    ]
+    for input_shapes in data:
+        assert_incompatible_shapes_raise(input_shapes)
+        # Reverse the input shapes since broadcasting should be symmetric.
+        assert_incompatible_shapes_raise(input_shapes[::-1])
+
+
+def test_same_as_ufunc():
+    # Check that the data layout is the same as if a ufunc did the operation.
+
+    data = [
+        [[(1,), (3,)], (3,)],
+        [[(1, 3), (3, 3)], (3, 3)],
+        [[(3, 1), (3, 3)], (3, 3)],
+        [[(1, 3), (3, 1)], (3, 3)],
+        [[(1, 1), (3, 3)], (3, 3)],
+        [[(1, 1), (1, 3)], (1, 3)],
+        [[(1, 1), (3, 1)], (3, 1)],
+        [[(1, 0), (0, 0)], (0, 0)],
+        [[(0, 1), (0, 0)], (0, 0)],
+        [[(1, 0), (0, 1)], (0, 0)],
+        [[(1, 1), (0, 0)], (0, 0)],
+        [[(1, 1), (1, 0)], (1, 0)],
+        [[(1, 1), (0, 1)], (0, 1)],
+        [[(), (3,)], (3,)],
+        [[(3,), (3, 3)], (3, 3)],
+        [[(3,), (3, 1)], (3, 3)],
+        [[(1,), (3, 3)], (3, 3)],
+        [[(), (3, 3)], (3, 3)],
+        [[(1, 1), (3,)], (1, 3)],
+        [[(1,), (3, 1)], (3, 1)],
+        [[(1,), (1, 3)], (1, 3)],
+        [[(), (1, 3)], (1, 3)],
+        [[(), (3, 1)], (3, 1)],
+        [[(), (0,)], (0,)],
+        [[(0,), (0, 0)], (0, 0)],
+        [[(0,), (0, 1)], (0, 0)],
+        [[(1,), (0, 0)], (0, 0)],
+        [[(), (0, 0)], (0, 0)],
+        [[(1, 1), (0,)], (1, 0)],
+        [[(1,), (0, 1)], (0, 1)],
+        [[(1,), (1, 0)], (1, 0)],
+        [[(), (1, 0)], (1, 0)],
+        [[(), (0, 1)], (0, 1)],
+    ]
+    for input_shapes, expected_shape in data:
+        assert_same_as_ufunc(input_shapes[0], input_shapes[1],
+                             "Shapes: %s %s" % (input_shapes[0], input_shapes[1]))
+        # Reverse the input shapes since broadcasting should be symmetric.
+        assert_same_as_ufunc(input_shapes[1], input_shapes[0])
+        # Try them transposed, too.
+        assert_same_as_ufunc(input_shapes[0], input_shapes[1], True)
+        # ... and flipped for non-rank-0 inputs in order to test negative
+        # strides.
+        if () not in input_shapes:
+            assert_same_as_ufunc(input_shapes[0], input_shapes[1], False, True)
+            assert_same_as_ufunc(input_shapes[0], input_shapes[1], True, True)
+
+
+def test_broadcast_to_succeeds():
+    data = [
+        [np.array(0), (0,), np.array(0)],
+        [np.array(0), (1,), np.zeros(1)],
+        [np.array(0), (3,), np.zeros(3)],
+        [np.ones(1), (1,), np.ones(1)],
+        [np.ones(1), (2,), np.ones(2)],
+        [np.ones(1), (1, 2, 3), np.ones((1, 2, 3))],
+        [np.arange(3), (3,), np.arange(3)],
+        [np.arange(3), (1, 3), np.arange(3).reshape(1, -1)],
+        [np.arange(3), (2, 3), np.array([[0, 1, 2], [0, 1, 2]])],
+        # test if shape is not a tuple
+        [np.ones(0), 0, np.ones(0)],
+        [np.ones(1), 1, np.ones(1)],
+        [np.ones(1), 2, np.ones(2)],
+        # these cases with size 0 are strange, but they reproduce the behavior
+        # of broadcasting with ufuncs (see test_same_as_ufunc above)
+        [np.ones(1), (0,), np.ones(0)],
+        [np.ones((1, 2)), (0, 2), np.ones((0, 2))],
+        [np.ones((2, 1)), (2, 0), np.ones((2, 0))],
+    ]
+    for input_array, shape, expected in data:
+        actual = broadcast_to(input_array, shape)
+        assert_array_equal(expected, actual)
+
+
+def test_broadcast_to_raises():
+    data = [
+        [(0,), ()],
+        [(1,), ()],
+        [(3,), ()],
+        [(3,), (1,)],
+        [(3,), (2,)],
+        [(3,), (4,)],
+        [(1, 2), (2, 1)],
+        [(1, 1), (1,)],
+        [(1,), -1],
+        [(1,), (-1,)],
+        [(1, 2), (-1, 2)],
+    ]
+    for orig_shape, target_shape in data:
+        arr = np.zeros(orig_shape)
+        assert_raises(ValueError, lambda: broadcast_to(arr, target_shape))
+
+
+def test_broadcast_shape():
+    # tests internal _broadcast_shape
+    # _broadcast_shape is already exercised indirectly by broadcast_arrays
+    # _broadcast_shape is also exercised by the public broadcast_shapes function
+    assert_equal(_broadcast_shape(), ())
+    assert_equal(_broadcast_shape([1, 2]), (2,))
+    assert_equal(_broadcast_shape(np.ones((1, 1))), (1, 1))
+    assert_equal(_broadcast_shape(np.ones((1, 1)), np.ones((3, 4))), (3, 4))
+    assert_equal(_broadcast_shape(*([np.ones((1, 2))] * 32)), (1, 2))
+    assert_equal(_broadcast_shape(*([np.ones((1, 2))] * 100)), (1, 2))
+
+    # regression tests for gh-5862
+    assert_equal(_broadcast_shape(*([np.ones(2)] * 32 + [1])), (2,))
+    bad_args = [np.ones(2)] * 32 + [np.ones(3)] * 32
+    assert_raises(ValueError, lambda: _broadcast_shape(*bad_args))
+
+
+def test_broadcast_shapes_succeeds():
+    # tests public broadcast_shapes
+    data = [
+        [[], ()],
+        [[()], ()],
+        [[(7,)], (7,)],
+        [[(1, 2), (2,)], (1, 2)],
+        [[(1, 1)], (1, 1)],
+        [[(1, 1), (3, 4)], (3, 4)],
+        [[(6, 7), (5, 6, 1), (7,), (5, 1, 7)], (5, 6, 7)],
+        [[(5, 6, 1)], (5, 6, 1)],
+        [[(1, 3), (3, 1)], (3, 3)],
+        [[(1, 0), (0, 0)], (0, 0)],
+        [[(0, 1), (0, 0)], (0, 0)],
+        [[(1, 0), (0, 1)], (0, 0)],
+        [[(1, 1), (0, 0)], (0, 0)],
+        [[(1, 1), (1, 0)], (1, 0)],
+        [[(1, 1), (0, 1)], (0, 1)],
+        [[(), (0,)], (0,)],
+        [[(0,), (0, 0)], (0, 0)],
+        [[(0,), (0, 1)], (0, 0)],
+        [[(1,), (0, 0)], (0, 0)],
+        [[(), (0, 0)], (0, 0)],
+        [[(1, 1), (0,)], (1, 0)],
+        [[(1,), (0, 1)], (0, 1)],
+        [[(1,), (1, 0)], (1, 0)],
+        [[(), (1, 0)], (1, 0)],
+        [[(), (0, 1)], (0, 1)],
+        [[(1,), (3,)], (3,)],
+        [[2, (3, 2)], (3, 2)],
+    ]
+    for input_shapes, target_shape in data:
+        assert_equal(broadcast_shapes(*input_shapes), target_shape)
+
+    assert_equal(broadcast_shapes(*([(1, 2)] * 32)), (1, 2))
+    assert_equal(broadcast_shapes(*([(1, 2)] * 100)), (1, 2))
+
+    # regression tests for gh-5862
+    assert_equal(broadcast_shapes(*([(2,)] * 32)), (2,))
+
+
+def test_broadcast_shapes_raises():
+    # tests public broadcast_shapes
+    data = [
+        [(3,), (4,)],
+        [(2, 3), (2,)],
+        [(3,), (3,), (4,)],
+        [(1, 3, 4), (2, 3, 3)],
+        [(1, 2), (3, 1), (3, 2), (10, 5)],
+        [2, (2, 3)],
+    ]
+    for input_shapes in data:
+        assert_raises(ValueError, lambda: broadcast_shapes(*input_shapes))
+
+    bad_args = [(2,)] * 32 + [(3,)] * 32
+    assert_raises(ValueError, lambda: broadcast_shapes(*bad_args))
+
+
+def test_as_strided():
+    a = np.array([None])
+    a_view = as_strided(a)
+    expected = np.array([None])
+    assert_array_equal(a_view, np.array([None]))
+
+    a = np.array([1, 2, 3, 4])
+    a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,))
+    expected = np.array([1, 3])
+    assert_array_equal(a_view, expected)
+
+    a = np.array([1, 2, 3, 4])
+    a_view = as_strided(a, shape=(3, 4), strides=(0, 1 * a.itemsize))
+    expected = np.array([[1, 2, 3, 4], [1, 2, 3, 4], [1, 2, 3, 4]])
+    assert_array_equal(a_view, expected)
+
+    # Regression test for gh-5081
+    dt = np.dtype([('num', 'i4'), ('obj', 'O')])
+    a = np.empty((4,), dtype=dt)
+    a['num'] = np.arange(1, 5)
+    a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
+    expected_num = [[1, 2, 3, 4]] * 3
+    expected_obj = [[None]*4]*3
+    assert_equal(a_view.dtype, dt)
+    assert_array_equal(expected_num, a_view['num'])
+    assert_array_equal(expected_obj, a_view['obj'])
+
+    # Make sure that void types without fields are kept unchanged
+    a = np.empty((4,), dtype='V4')
+    a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
+    assert_equal(a.dtype, a_view.dtype)
+
+    # Make sure that the only type that could fail is properly handled
+    dt = np.dtype({'names': [''], 'formats': ['V4']})
+    a = np.empty((4,), dtype=dt)
+    a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
+    assert_equal(a.dtype, a_view.dtype)
+
+    # Custom dtypes should not be lost (gh-9161)
+    r = [rational(i) for i in range(4)]
+    a = np.array(r, dtype=rational)
+    a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
+    assert_equal(a.dtype, a_view.dtype)
+    assert_array_equal([r] * 3, a_view)
+
+
+class TestSlidingWindowView:
+    def test_1d(self):
+        arr = np.arange(5)
+        arr_view = sliding_window_view(arr, 2)
+        expected = np.array([[0, 1],
+                             [1, 2],
+                             [2, 3],
+                             [3, 4]])
+        assert_array_equal(arr_view, expected)
+
+    def test_2d(self):
+        i, j = np.ogrid[:3, :4]
+        arr = 10*i + j
+        shape = (2, 2)
+        arr_view = sliding_window_view(arr, shape)
+        expected = np.array([[[[0, 1], [10, 11]],
+                              [[1, 2], [11, 12]],
+                              [[2, 3], [12, 13]]],
+                             [[[10, 11], [20, 21]],
+                              [[11, 12], [21, 22]],
+                              [[12, 13], [22, 23]]]])
+        assert_array_equal(arr_view, expected)
+
+    def test_2d_with_axis(self):
+        i, j = np.ogrid[:3, :4]
+        arr = 10*i + j
+        arr_view = sliding_window_view(arr, 3, 0)
+        expected = np.array([[[0, 10, 20],
+                              [1, 11, 21],
+                              [2, 12, 22],
+                              [3, 13, 23]]])
+        assert_array_equal(arr_view, expected)
+
+    def test_2d_repeated_axis(self):
+        i, j = np.ogrid[:3, :4]
+        arr = 10*i + j
+        arr_view = sliding_window_view(arr, (2, 3), (1, 1))
+        expected = np.array([[[[0, 1, 2],
+                               [1, 2, 3]]],
+                             [[[10, 11, 12],
+                               [11, 12, 13]]],
+                             [[[20, 21, 22],
+                               [21, 22, 23]]]])
+        assert_array_equal(arr_view, expected)
+
+    def test_2d_without_axis(self):
+        i, j = np.ogrid[:4, :4]
+        arr = 10*i + j
+        shape = (2, 3)
+        arr_view = sliding_window_view(arr, shape)
+        expected = np.array([[[[0, 1, 2], [10, 11, 12]],
+                              [[1, 2, 3], [11, 12, 13]]],
+                             [[[10, 11, 12], [20, 21, 22]],
+                              [[11, 12, 13], [21, 22, 23]]],
+                             [[[20, 21, 22], [30, 31, 32]],
+                              [[21, 22, 23], [31, 32, 33]]]])
+        assert_array_equal(arr_view, expected)
+
+    def test_errors(self):
+        i, j = np.ogrid[:4, :4]
+        arr = 10*i + j
+        with pytest.raises(ValueError, match='cannot contain negative values'):
+            sliding_window_view(arr, (-1, 3))
+        with pytest.raises(
+                ValueError,
+                match='must provide window_shape for all dimensions of `x`'):
+            sliding_window_view(arr, (1,))
+        with pytest.raises(
+                ValueError,
+                match='Must provide matching length window_shape and axis'):
+            sliding_window_view(arr, (1, 3, 4), axis=(0, 1))
+        with pytest.raises(
+                ValueError,
+                match='window shape cannot be larger than input array'):
+            sliding_window_view(arr, (5, 5))
+
+    def test_writeable(self):
+        arr = np.arange(5)
+        view = sliding_window_view(arr, 2, writeable=False)
+        assert_(not view.flags.writeable)
+        with pytest.raises(
+                ValueError,
+                match='assignment destination is read-only'):
+            view[0, 0] = 3
+        view = sliding_window_view(arr, 2, writeable=True)
+        assert_(view.flags.writeable)
+        view[0, 1] = 3
+        assert_array_equal(arr, np.array([0, 3, 2, 3, 4]))
+
+    def test_subok(self):
+        class MyArray(np.ndarray):
+            pass
+
+        arr = np.arange(5).view(MyArray)
+        assert_(not isinstance(sliding_window_view(arr, 2,
+                                                   subok=False),
+                               MyArray))
+        assert_(isinstance(sliding_window_view(arr, 2, subok=True), MyArray))
+        # Default behavior
+        assert_(not isinstance(sliding_window_view(arr, 2), MyArray))
+
+
+def as_strided_writeable():
+    arr = np.ones(10)
+    view = as_strided(arr, writeable=False)
+    assert_(not view.flags.writeable)
+
+    # Check that writeable also is fine:
+    view = as_strided(arr, writeable=True)
+    assert_(view.flags.writeable)
+    view[...] = 3
+    assert_array_equal(arr, np.full_like(arr, 3))
+
+    # Test that things do not break down for readonly:
+    arr.flags.writeable = False
+    view = as_strided(arr, writeable=False)
+    view = as_strided(arr, writeable=True)
+    assert_(not view.flags.writeable)
+
+
+class VerySimpleSubClass(np.ndarray):
+    def __new__(cls, *args, **kwargs):
+        return np.array(*args, subok=True, **kwargs).view(cls)
+
+
+class SimpleSubClass(VerySimpleSubClass):
+    def __new__(cls, *args, **kwargs):
+        self = np.array(*args, subok=True, **kwargs).view(cls)
+        self.info = 'simple'
+        return self
+
+    def __array_finalize__(self, obj):
+        self.info = getattr(obj, 'info', '') + ' finalized'
+
+
+def test_subclasses():
+    # test that subclass is preserved only if subok=True
+    a = VerySimpleSubClass([1, 2, 3, 4])
+    assert_(type(a) is VerySimpleSubClass)
+    a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,))
+    assert_(type(a_view) is np.ndarray)
+    a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,), subok=True)
+    assert_(type(a_view) is VerySimpleSubClass)
+    # test that if a subclass has __array_finalize__, it is used
+    a = SimpleSubClass([1, 2, 3, 4])
+    a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,), subok=True)
+    assert_(type(a_view) is SimpleSubClass)
+    assert_(a_view.info == 'simple finalized')
+
+    # similar tests for broadcast_arrays
+    b = np.arange(len(a)).reshape(-1, 1)
+    a_view, b_view = broadcast_arrays(a, b)
+    assert_(type(a_view) is np.ndarray)
+    assert_(type(b_view) is np.ndarray)
+    assert_(a_view.shape == b_view.shape)
+    a_view, b_view = broadcast_arrays(a, b, subok=True)
+    assert_(type(a_view) is SimpleSubClass)
+    assert_(a_view.info == 'simple finalized')
+    assert_(type(b_view) is np.ndarray)
+    assert_(a_view.shape == b_view.shape)
+
+    # and for broadcast_to
+    shape = (2, 4)
+    a_view = broadcast_to(a, shape)
+    assert_(type(a_view) is np.ndarray)
+    assert_(a_view.shape == shape)
+    a_view = broadcast_to(a, shape, subok=True)
+    assert_(type(a_view) is SimpleSubClass)
+    assert_(a_view.info == 'simple finalized')
+    assert_(a_view.shape == shape)
+
+
+def test_writeable():
+    # broadcast_to should return a readonly array
+    original = np.array([1, 2, 3])
+    result = broadcast_to(original, (2, 3))
+    assert_equal(result.flags.writeable, False)
+    assert_raises(ValueError, result.__setitem__, slice(None), 0)
+
+    # but the result of broadcast_arrays needs to be writeable, to
+    # preserve backwards compatibility
+    test_cases = [((False,), broadcast_arrays(original,)),
+                  ((True, False), broadcast_arrays(0, original))]
+    for is_broadcast, results in test_cases:
+        for array_is_broadcast, result in zip(is_broadcast, results):
+            # This will change to False in a future version
+            if array_is_broadcast:
+                with assert_warns(FutureWarning):
+                    assert_equal(result.flags.writeable, True)
+                with assert_warns(DeprecationWarning):
+                    result[:] = 0
+                # Warning not emitted, writing to the array resets it
+                assert_equal(result.flags.writeable, True)
+            else:
+                # No warning:
+                assert_equal(result.flags.writeable, True)
+
+    for results in [broadcast_arrays(original),
+                    broadcast_arrays(0, original)]:
+        for result in results:
+            # resets the warn_on_write DeprecationWarning
+            result.flags.writeable = True
+            # check: no warning emitted
+            assert_equal(result.flags.writeable, True)
+            result[:] = 0
+
+    # keep readonly input readonly
+    original.flags.writeable = False
+    _, result = broadcast_arrays(0, original)
+    assert_equal(result.flags.writeable, False)
+
+    # regression test for GH6491
+    shape = (2,)
+    strides = [0]
+    tricky_array = as_strided(np.array(0), shape, strides)
+    other = np.zeros((1,))
+    first, second = broadcast_arrays(tricky_array, other)
+    assert_(first.shape == second.shape)
+
+
+def test_writeable_memoryview():
+    # The result of broadcast_arrays exports as a non-writeable memoryview
+    # because otherwise there is no good way to opt in to the new behaviour
+    # (i.e. you would need to set writeable to False explicitly).
+    # See gh-13929.
+    original = np.array([1, 2, 3])
+
+    test_cases = [((False, ), broadcast_arrays(original,)),
+                  ((True, False), broadcast_arrays(0, original))]
+    for is_broadcast, results in test_cases:
+        for array_is_broadcast, result in zip(is_broadcast, results):
+            # This will change to False in a future version
+            if array_is_broadcast:
+                # memoryview(result, writable=True) will give warning but cannot
+                # be tested using the python API.
+                assert memoryview(result).readonly
+            else:
+                assert not memoryview(result).readonly
+
+
+def test_reference_types():
+    input_array = np.array('a', dtype=object)
+    expected = np.array(['a'] * 3, dtype=object)
+    actual = broadcast_to(input_array, (3,))
+    assert_array_equal(expected, actual)
+
+    actual, _ = broadcast_arrays(input_array, np.ones(3))
+    assert_array_equal(expected, actual)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_twodim_base.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_twodim_base.py
new file mode 100644
index 0000000000000000000000000000000000000000..eb008c6002c86c94b180533230f849c909d10f39
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_twodim_base.py
@@ -0,0 +1,541 @@
+"""Test functions for matrix module
+
+"""
+from numpy.testing import (
+    assert_equal, assert_array_equal, assert_array_max_ulp,
+    assert_array_almost_equal, assert_raises, assert_
+)
+from numpy import (
+    arange, add, fliplr, flipud, zeros, ones, eye, array, diag, histogram2d,
+    tri, mask_indices, triu_indices, triu_indices_from, tril_indices,
+    tril_indices_from, vander,
+)
+import numpy as np
+
+import pytest
+
+
+def get_mat(n):
+    data = arange(n)
+    data = add.outer(data, data)
+    return data
+
+
+class TestEye:
+    def test_basic(self):
+        assert_equal(eye(4),
+                     array([[1, 0, 0, 0],
+                            [0, 1, 0, 0],
+                            [0, 0, 1, 0],
+                            [0, 0, 0, 1]]))
+
+        assert_equal(eye(4, dtype='f'),
+                     array([[1, 0, 0, 0],
+                            [0, 1, 0, 0],
+                            [0, 0, 1, 0],
+                            [0, 0, 0, 1]], 'f'))
+
+        assert_equal(eye(3) == 1,
+                     eye(3, dtype=bool))
+
+    def test_uint64(self):
+        # Regression test for gh-9982
+        assert_equal(eye(np.uint64(2), dtype=int), array([[1, 0], [0, 1]]))
+        assert_equal(eye(np.uint64(2), M=np.uint64(4), k=np.uint64(1)),
+                     array([[0, 1, 0, 0], [0, 0, 1, 0]]))
+
+    def test_diag(self):
+        assert_equal(eye(4, k=1),
+                     array([[0, 1, 0, 0],
+                            [0, 0, 1, 0],
+                            [0, 0, 0, 1],
+                            [0, 0, 0, 0]]))
+
+        assert_equal(eye(4, k=-1),
+                     array([[0, 0, 0, 0],
+                            [1, 0, 0, 0],
+                            [0, 1, 0, 0],
+                            [0, 0, 1, 0]]))
+
+    def test_2d(self):
+        assert_equal(eye(4, 3),
+                     array([[1, 0, 0],
+                            [0, 1, 0],
+                            [0, 0, 1],
+                            [0, 0, 0]]))
+
+        assert_equal(eye(3, 4),
+                     array([[1, 0, 0, 0],
+                            [0, 1, 0, 0],
+                            [0, 0, 1, 0]]))
+
+    def test_diag2d(self):
+        assert_equal(eye(3, 4, k=2),
+                     array([[0, 0, 1, 0],
+                            [0, 0, 0, 1],
+                            [0, 0, 0, 0]]))
+
+        assert_equal(eye(4, 3, k=-2),
+                     array([[0, 0, 0],
+                            [0, 0, 0],
+                            [1, 0, 0],
+                            [0, 1, 0]]))
+
+    def test_eye_bounds(self):
+        assert_equal(eye(2, 2, 1), [[0, 1], [0, 0]])
+        assert_equal(eye(2, 2, -1), [[0, 0], [1, 0]])
+        assert_equal(eye(2, 2, 2), [[0, 0], [0, 0]])
+        assert_equal(eye(2, 2, -2), [[0, 0], [0, 0]])
+        assert_equal(eye(3, 2, 2), [[0, 0], [0, 0], [0, 0]])
+        assert_equal(eye(3, 2, 1), [[0, 1], [0, 0], [0, 0]])
+        assert_equal(eye(3, 2, -1), [[0, 0], [1, 0], [0, 1]])
+        assert_equal(eye(3, 2, -2), [[0, 0], [0, 0], [1, 0]])
+        assert_equal(eye(3, 2, -3), [[0, 0], [0, 0], [0, 0]])
+
+    def test_strings(self):
+        assert_equal(eye(2, 2, dtype='S3'),
+                     [[b'1', b''], [b'', b'1']])
+
+    def test_bool(self):
+        assert_equal(eye(2, 2, dtype=bool), [[True, False], [False, True]])
+
+    def test_order(self):
+        mat_c = eye(4, 3, k=-1)
+        mat_f = eye(4, 3, k=-1, order='F')
+        assert_equal(mat_c, mat_f)
+        assert mat_c.flags.c_contiguous
+        assert not mat_c.flags.f_contiguous
+        assert not mat_f.flags.c_contiguous
+        assert mat_f.flags.f_contiguous
+
+
+class TestDiag:
+    def test_vector(self):
+        vals = (100 * arange(5)).astype('l')
+        b = zeros((5, 5))
+        for k in range(5):
+            b[k, k] = vals[k]
+        assert_equal(diag(vals), b)
+        b = zeros((7, 7))
+        c = b.copy()
+        for k in range(5):
+            b[k, k + 2] = vals[k]
+            c[k + 2, k] = vals[k]
+        assert_equal(diag(vals, k=2), b)
+        assert_equal(diag(vals, k=-2), c)
+
+    def test_matrix(self, vals=None):
+        if vals is None:
+            vals = (100 * get_mat(5) + 1).astype('l')
+        b = zeros((5,))
+        for k in range(5):
+            b[k] = vals[k, k]
+        assert_equal(diag(vals), b)
+        b = b * 0
+        for k in range(3):
+            b[k] = vals[k, k + 2]
+        assert_equal(diag(vals, 2), b[:3])
+        for k in range(3):
+            b[k] = vals[k + 2, k]
+        assert_equal(diag(vals, -2), b[:3])
+
+    def test_fortran_order(self):
+        vals = array((100 * get_mat(5) + 1), order='F', dtype='l')
+        self.test_matrix(vals)
+
+    def test_diag_bounds(self):
+        A = [[1, 2], [3, 4], [5, 6]]
+        assert_equal(diag(A, k=2), [])
+        assert_equal(diag(A, k=1), [2])
+        assert_equal(diag(A, k=0), [1, 4])
+        assert_equal(diag(A, k=-1), [3, 6])
+        assert_equal(diag(A, k=-2), [5])
+        assert_equal(diag(A, k=-3), [])
+
+    def test_failure(self):
+        assert_raises(ValueError, diag, [[[1]]])
+
+
+class TestFliplr:
+    def test_basic(self):
+        assert_raises(ValueError, fliplr, ones(4))
+        a = get_mat(4)
+        b = a[:, ::-1]
+        assert_equal(fliplr(a), b)
+        a = [[0, 1, 2],
+             [3, 4, 5]]
+        b = [[2, 1, 0],
+             [5, 4, 3]]
+        assert_equal(fliplr(a), b)
+
+
+class TestFlipud:
+    def test_basic(self):
+        a = get_mat(4)
+        b = a[::-1, :]
+        assert_equal(flipud(a), b)
+        a = [[0, 1, 2],
+             [3, 4, 5]]
+        b = [[3, 4, 5],
+             [0, 1, 2]]
+        assert_equal(flipud(a), b)
+
+
+class TestHistogram2d:
+    def test_simple(self):
+        x = array(
+            [0.41702200, 0.72032449, 1.1437481e-4, 0.302332573, 0.146755891])
+        y = array(
+            [0.09233859, 0.18626021, 0.34556073, 0.39676747, 0.53881673])
+        xedges = np.linspace(0, 1, 10)
+        yedges = np.linspace(0, 1, 10)
+        H = histogram2d(x, y, (xedges, yedges))[0]
+        answer = array(
+            [[0, 0, 0, 1, 0, 0, 0, 0, 0],
+             [0, 0, 0, 0, 0, 0, 1, 0, 0],
+             [0, 0, 0, 0, 0, 0, 0, 0, 0],
+             [1, 0, 1, 0, 0, 0, 0, 0, 0],
+             [0, 1, 0, 0, 0, 0, 0, 0, 0],
+             [0, 0, 0, 0, 0, 0, 0, 0, 0],
+             [0, 0, 0, 0, 0, 0, 0, 0, 0],
+             [0, 0, 0, 0, 0, 0, 0, 0, 0],
+             [0, 0, 0, 0, 0, 0, 0, 0, 0]])
+        assert_array_equal(H.T, answer)
+        H = histogram2d(x, y, xedges)[0]
+        assert_array_equal(H.T, answer)
+        H, xedges, yedges = histogram2d(list(range(10)), list(range(10)))
+        assert_array_equal(H, eye(10, 10))
+        assert_array_equal(xedges, np.linspace(0, 9, 11))
+        assert_array_equal(yedges, np.linspace(0, 9, 11))
+
+    def test_asym(self):
+        x = array([1, 1, 2, 3, 4, 4, 4, 5])
+        y = array([1, 3, 2, 0, 1, 2, 3, 4])
+        H, xed, yed = histogram2d(
+            x, y, (6, 5), range=[[0, 6], [0, 5]], density=True)
+        answer = array(
+            [[0., 0, 0, 0, 0],
+             [0, 1, 0, 1, 0],
+             [0, 0, 1, 0, 0],
+             [1, 0, 0, 0, 0],
+             [0, 1, 1, 1, 0],
+             [0, 0, 0, 0, 1]])
+        assert_array_almost_equal(H, answer/8., 3)
+        assert_array_equal(xed, np.linspace(0, 6, 7))
+        assert_array_equal(yed, np.linspace(0, 5, 6))
+
+    def test_density(self):
+        x = array([1, 2, 3, 1, 2, 3, 1, 2, 3])
+        y = array([1, 1, 1, 2, 2, 2, 3, 3, 3])
+        H, xed, yed = histogram2d(
+            x, y, [[1, 2, 3, 5], [1, 2, 3, 5]], density=True)
+        answer = array([[1, 1, .5],
+                        [1, 1, .5],
+                        [.5, .5, .25]])/9.
+        assert_array_almost_equal(H, answer, 3)
+
+    def test_all_outliers(self):
+        r = np.random.rand(100) + 1. + 1e6  # histogramdd rounds by decimal=6
+        H, xed, yed = histogram2d(r, r, (4, 5), range=([0, 1], [0, 1]))
+        assert_array_equal(H, 0)
+
+    def test_empty(self):
+        a, edge1, edge2 = histogram2d([], [], bins=([0, 1], [0, 1]))
+        assert_array_max_ulp(a, array([[0.]]))
+
+        a, edge1, edge2 = histogram2d([], [], bins=4)
+        assert_array_max_ulp(a, np.zeros((4, 4)))
+
+    def test_binparameter_combination(self):
+        x = array(
+            [0, 0.09207008, 0.64575234, 0.12875982, 0.47390599,
+             0.59944483, 1])
+        y = array(
+            [0, 0.14344267, 0.48988575, 0.30558665, 0.44700682,
+             0.15886423, 1])
+        edges = (0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1)
+        H, xe, ye = histogram2d(x, y, (edges, 4))
+        answer = array(
+            [[2., 0., 0., 0.],
+             [0., 1., 0., 0.],
+             [0., 0., 0., 0.],
+             [0., 0., 0., 0.],
+             [0., 1., 0., 0.],
+             [1., 0., 0., 0.],
+             [0., 1., 0., 0.],
+             [0., 0., 0., 0.],
+             [0., 0., 0., 0.],
+             [0., 0., 0., 1.]])
+        assert_array_equal(H, answer)
+        assert_array_equal(ye, array([0., 0.25, 0.5, 0.75, 1]))
+        H, xe, ye = histogram2d(x, y, (4, edges))
+        answer = array(
+            [[1., 1., 0., 1., 0., 0., 0., 0., 0., 0.],
+             [0., 0., 0., 0., 1., 0., 0., 0., 0., 0.],
+             [0., 1., 0., 0., 1., 0., 0., 0., 0., 0.],
+             [0., 0., 0., 0., 0., 0., 0., 0., 0., 1.]])
+        assert_array_equal(H, answer)
+        assert_array_equal(xe, array([0., 0.25, 0.5, 0.75, 1]))
+
+    def test_dispatch(self):
+        class ShouldDispatch:
+            def __array_function__(self, function, types, args, kwargs):
+                return types, args, kwargs
+
+        xy = [1, 2]
+        s_d = ShouldDispatch()
+        r = histogram2d(s_d, xy)
+        # Cannot use assert_equal since that dispatches...
+        assert_(r == ((ShouldDispatch,), (s_d, xy), {}))
+        r = histogram2d(xy, s_d)
+        assert_(r == ((ShouldDispatch,), (xy, s_d), {}))
+        r = histogram2d(xy, xy, bins=s_d)
+        assert_(r, ((ShouldDispatch,), (xy, xy), dict(bins=s_d)))
+        r = histogram2d(xy, xy, bins=[s_d, 5])
+        assert_(r, ((ShouldDispatch,), (xy, xy), dict(bins=[s_d, 5])))
+        assert_raises(Exception, histogram2d, xy, xy, bins=[s_d])
+        r = histogram2d(xy, xy, weights=s_d)
+        assert_(r, ((ShouldDispatch,), (xy, xy), dict(weights=s_d)))
+
+    @pytest.mark.parametrize(("x_len", "y_len"), [(10, 11), (20, 19)])
+    def test_bad_length(self, x_len, y_len):
+        x, y = np.ones(x_len), np.ones(y_len)
+        with pytest.raises(ValueError,
+                           match='x and y must have the same length.'):
+            histogram2d(x, y)
+
+
+class TestTri:
+    def test_dtype(self):
+        out = array([[1, 0, 0],
+                     [1, 1, 0],
+                     [1, 1, 1]])
+        assert_array_equal(tri(3), out)
+        assert_array_equal(tri(3, dtype=bool), out.astype(bool))
+
+
+def test_tril_triu_ndim2():
+    for dtype in np.typecodes['AllFloat'] + np.typecodes['AllInteger']:
+        a = np.ones((2, 2), dtype=dtype)
+        b = np.tril(a)
+        c = np.triu(a)
+        assert_array_equal(b, [[1, 0], [1, 1]])
+        assert_array_equal(c, b.T)
+        # should return the same dtype as the original array
+        assert_equal(b.dtype, a.dtype)
+        assert_equal(c.dtype, a.dtype)
+
+
+def test_tril_triu_ndim3():
+    for dtype in np.typecodes['AllFloat'] + np.typecodes['AllInteger']:
+        a = np.array([
+            [[1, 1], [1, 1]],
+            [[1, 1], [1, 0]],
+            [[1, 1], [0, 0]],
+            ], dtype=dtype)
+        a_tril_desired = np.array([
+            [[1, 0], [1, 1]],
+            [[1, 0], [1, 0]],
+            [[1, 0], [0, 0]],
+            ], dtype=dtype)
+        a_triu_desired = np.array([
+            [[1, 1], [0, 1]],
+            [[1, 1], [0, 0]],
+            [[1, 1], [0, 0]],
+            ], dtype=dtype)
+        a_triu_observed = np.triu(a)
+        a_tril_observed = np.tril(a)
+        assert_array_equal(a_triu_observed, a_triu_desired)
+        assert_array_equal(a_tril_observed, a_tril_desired)
+        assert_equal(a_triu_observed.dtype, a.dtype)
+        assert_equal(a_tril_observed.dtype, a.dtype)
+
+
+def test_tril_triu_with_inf():
+    # Issue 4859
+    arr = np.array([[1, 1, np.inf],
+                    [1, 1, 1],
+                    [np.inf, 1, 1]])
+    out_tril = np.array([[1, 0, 0],
+                         [1, 1, 0],
+                         [np.inf, 1, 1]])
+    out_triu = out_tril.T
+    assert_array_equal(np.triu(arr), out_triu)
+    assert_array_equal(np.tril(arr), out_tril)
+
+
+def test_tril_triu_dtype():
+    # Issue 4916
+    # tril and triu should return the same dtype as input
+    for c in np.typecodes['All']:
+        if c == 'V':
+            continue
+        arr = np.zeros((3, 3), dtype=c)
+        assert_equal(np.triu(arr).dtype, arr.dtype)
+        assert_equal(np.tril(arr).dtype, arr.dtype)
+
+    # check special cases
+    arr = np.array([['2001-01-01T12:00', '2002-02-03T13:56'],
+                    ['2004-01-01T12:00', '2003-01-03T13:45']],
+                   dtype='datetime64')
+    assert_equal(np.triu(arr).dtype, arr.dtype)
+    assert_equal(np.tril(arr).dtype, arr.dtype)
+
+    arr = np.zeros((3, 3), dtype='f4,f4')
+    assert_equal(np.triu(arr).dtype, arr.dtype)
+    assert_equal(np.tril(arr).dtype, arr.dtype)
+
+
+def test_mask_indices():
+    # simple test without offset
+    iu = mask_indices(3, np.triu)
+    a = np.arange(9).reshape(3, 3)
+    assert_array_equal(a[iu], array([0, 1, 2, 4, 5, 8]))
+    # Now with an offset
+    iu1 = mask_indices(3, np.triu, 1)
+    assert_array_equal(a[iu1], array([1, 2, 5]))
+
+
+def test_tril_indices():
+    # indices without and with offset
+    il1 = tril_indices(4)
+    il2 = tril_indices(4, k=2)
+    il3 = tril_indices(4, m=5)
+    il4 = tril_indices(4, k=2, m=5)
+
+    a = np.array([[1, 2, 3, 4],
+                  [5, 6, 7, 8],
+                  [9, 10, 11, 12],
+                  [13, 14, 15, 16]])
+    b = np.arange(1, 21).reshape(4, 5)
+
+    # indexing:
+    assert_array_equal(a[il1],
+                       array([1, 5, 6, 9, 10, 11, 13, 14, 15, 16]))
+    assert_array_equal(b[il3],
+                       array([1, 6, 7, 11, 12, 13, 16, 17, 18, 19]))
+
+    # And for assigning values:
+    a[il1] = -1
+    assert_array_equal(a,
+                       array([[-1, 2, 3, 4],
+                              [-1, -1, 7, 8],
+                              [-1, -1, -1, 12],
+                              [-1, -1, -1, -1]]))
+    b[il3] = -1
+    assert_array_equal(b,
+                       array([[-1, 2, 3, 4, 5],
+                              [-1, -1, 8, 9, 10],
+                              [-1, -1, -1, 14, 15],
+                              [-1, -1, -1, -1, 20]]))
+    # These cover almost the whole array (two diagonals right of the main one):
+    a[il2] = -10
+    assert_array_equal(a,
+                       array([[-10, -10, -10, 4],
+                              [-10, -10, -10, -10],
+                              [-10, -10, -10, -10],
+                              [-10, -10, -10, -10]]))
+    b[il4] = -10
+    assert_array_equal(b,
+                       array([[-10, -10, -10, 4, 5],
+                              [-10, -10, -10, -10, 10],
+                              [-10, -10, -10, -10, -10],
+                              [-10, -10, -10, -10, -10]]))
+
+
+class TestTriuIndices:
+    def test_triu_indices(self):
+        iu1 = triu_indices(4)
+        iu2 = triu_indices(4, k=2)
+        iu3 = triu_indices(4, m=5)
+        iu4 = triu_indices(4, k=2, m=5)
+
+        a = np.array([[1, 2, 3, 4],
+                      [5, 6, 7, 8],
+                      [9, 10, 11, 12],
+                      [13, 14, 15, 16]])
+        b = np.arange(1, 21).reshape(4, 5)
+
+        # Both for indexing:
+        assert_array_equal(a[iu1],
+                           array([1, 2, 3, 4, 6, 7, 8, 11, 12, 16]))
+        assert_array_equal(b[iu3],
+                           array([1, 2, 3, 4, 5, 7, 8, 9,
+                                  10, 13, 14, 15, 19, 20]))
+
+        # And for assigning values:
+        a[iu1] = -1
+        assert_array_equal(a,
+                           array([[-1, -1, -1, -1],
+                                  [5, -1, -1, -1],
+                                  [9, 10, -1, -1],
+                                  [13, 14, 15, -1]]))
+        b[iu3] = -1
+        assert_array_equal(b,
+                           array([[-1, -1, -1, -1, -1],
+                                  [6, -1, -1, -1, -1],
+                                  [11, 12, -1, -1, -1],
+                                  [16, 17, 18, -1, -1]]))
+
+        # These cover almost the whole array (two diagonals right of the
+        # main one):
+        a[iu2] = -10
+        assert_array_equal(a,
+                           array([[-1, -1, -10, -10],
+                                  [5, -1, -1, -10],
+                                  [9, 10, -1, -1],
+                                  [13, 14, 15, -1]]))
+        b[iu4] = -10
+        assert_array_equal(b,
+                           array([[-1, -1, -10, -10, -10],
+                                  [6, -1, -1, -10, -10],
+                                  [11, 12, -1, -1, -10],
+                                  [16, 17, 18, -1, -1]]))
+
+
+class TestTrilIndicesFrom:
+    def test_exceptions(self):
+        assert_raises(ValueError, tril_indices_from, np.ones((2,)))
+        assert_raises(ValueError, tril_indices_from, np.ones((2, 2, 2)))
+        # assert_raises(ValueError, tril_indices_from, np.ones((2, 3)))
+
+
+class TestTriuIndicesFrom:
+    def test_exceptions(self):
+        assert_raises(ValueError, triu_indices_from, np.ones((2,)))
+        assert_raises(ValueError, triu_indices_from, np.ones((2, 2, 2)))
+        # assert_raises(ValueError, triu_indices_from, np.ones((2, 3)))
+
+
+class TestVander:
+    def test_basic(self):
+        c = np.array([0, 1, -2, 3])
+        v = vander(c)
+        powers = np.array([[0, 0, 0, 0, 1],
+                           [1, 1, 1, 1, 1],
+                           [16, -8, 4, -2, 1],
+                           [81, 27, 9, 3, 1]])
+        # Check default value of N:
+        assert_array_equal(v, powers[:, 1:])
+        # Check a range of N values, including 0 and 5 (greater than default)
+        m = powers.shape[1]
+        for n in range(6):
+            v = vander(c, N=n)
+            assert_array_equal(v, powers[:, m-n:m])
+
+    def test_dtypes(self):
+        c = array([11, -12, 13], dtype=np.int8)
+        v = vander(c)
+        expected = np.array([[121, 11, 1],
+                             [144, -12, 1],
+                             [169, 13, 1]])
+        assert_array_equal(v, expected)
+
+        c = array([1.0+1j, 1.0-1j])
+        v = vander(c, N=3)
+        expected = np.array([[2j, 1+1j, 1],
+                             [-2j, 1-1j, 1]])
+        # The data is floating point, but the values are small integers,
+        # so assert_array_equal *should* be safe here (rather than, say,
+        # assert_array_almost_equal).
+        assert_array_equal(v, expected)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_type_check.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_type_check.py
new file mode 100644
index 0000000000000000000000000000000000000000..01c888bef6f1bc524226142b12fda4bc149f5ce0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_type_check.py
@@ -0,0 +1,465 @@
+import numpy as np
+from numpy import (
+    common_type, mintypecode, isreal, iscomplex, isposinf, isneginf,
+    nan_to_num, isrealobj, iscomplexobj, real_if_close
+    )
+from numpy.testing import (
+    assert_, assert_equal, assert_array_equal, assert_raises
+    )
+
+
+def assert_all(x):
+    assert_(np.all(x), x)
+
+
+class TestCommonType:
+    def test_basic(self):
+        ai32 = np.array([[1, 2], [3, 4]], dtype=np.int32)
+        af16 = np.array([[1, 2], [3, 4]], dtype=np.float16)
+        af32 = np.array([[1, 2], [3, 4]], dtype=np.float32)
+        af64 = np.array([[1, 2], [3, 4]], dtype=np.float64)
+        acs = np.array([[1+5j, 2+6j], [3+7j, 4+8j]], dtype=np.complex64)
+        acd = np.array([[1+5j, 2+6j], [3+7j, 4+8j]], dtype=np.complex128)
+        assert_(common_type(ai32) == np.float64)
+        assert_(common_type(af16) == np.float16)
+        assert_(common_type(af32) == np.float32)
+        assert_(common_type(af64) == np.float64)
+        assert_(common_type(acs) == np.complex64)
+        assert_(common_type(acd) == np.complex128)
+
+
+class TestMintypecode:
+
+    def test_default_1(self):
+        for itype in '1bcsuwil':
+            assert_equal(mintypecode(itype), 'd')
+        assert_equal(mintypecode('f'), 'f')
+        assert_equal(mintypecode('d'), 'd')
+        assert_equal(mintypecode('F'), 'F')
+        assert_equal(mintypecode('D'), 'D')
+
+    def test_default_2(self):
+        for itype in '1bcsuwil':
+            assert_equal(mintypecode(itype+'f'), 'f')
+            assert_equal(mintypecode(itype+'d'), 'd')
+            assert_equal(mintypecode(itype+'F'), 'F')
+            assert_equal(mintypecode(itype+'D'), 'D')
+        assert_equal(mintypecode('ff'), 'f')
+        assert_equal(mintypecode('fd'), 'd')
+        assert_equal(mintypecode('fF'), 'F')
+        assert_equal(mintypecode('fD'), 'D')
+        assert_equal(mintypecode('df'), 'd')
+        assert_equal(mintypecode('dd'), 'd')
+        #assert_equal(mintypecode('dF',savespace=1),'F')
+        assert_equal(mintypecode('dF'), 'D')
+        assert_equal(mintypecode('dD'), 'D')
+        assert_equal(mintypecode('Ff'), 'F')
+        #assert_equal(mintypecode('Fd',savespace=1),'F')
+        assert_equal(mintypecode('Fd'), 'D')
+        assert_equal(mintypecode('FF'), 'F')
+        assert_equal(mintypecode('FD'), 'D')
+        assert_equal(mintypecode('Df'), 'D')
+        assert_equal(mintypecode('Dd'), 'D')
+        assert_equal(mintypecode('DF'), 'D')
+        assert_equal(mintypecode('DD'), 'D')
+
+    def test_default_3(self):
+        assert_equal(mintypecode('fdF'), 'D')
+        #assert_equal(mintypecode('fdF',savespace=1),'F')
+        assert_equal(mintypecode('fdD'), 'D')
+        assert_equal(mintypecode('fFD'), 'D')
+        assert_equal(mintypecode('dFD'), 'D')
+
+        assert_equal(mintypecode('ifd'), 'd')
+        assert_equal(mintypecode('ifF'), 'F')
+        assert_equal(mintypecode('ifD'), 'D')
+        assert_equal(mintypecode('idF'), 'D')
+        #assert_equal(mintypecode('idF',savespace=1),'F')
+        assert_equal(mintypecode('idD'), 'D')
+
+
+class TestIsscalar:
+
+    def test_basic(self):
+        assert_(np.isscalar(3))
+        assert_(not np.isscalar([3]))
+        assert_(not np.isscalar((3,)))
+        assert_(np.isscalar(3j))
+        assert_(np.isscalar(4.0))
+
+
+class TestReal:
+
+    def test_real(self):
+        y = np.random.rand(10,)
+        assert_array_equal(y, np.real(y))
+
+        y = np.array(1)
+        out = np.real(y)
+        assert_array_equal(y, out)
+        assert_(isinstance(out, np.ndarray))
+
+        y = 1
+        out = np.real(y)
+        assert_equal(y, out)
+        assert_(not isinstance(out, np.ndarray))
+
+    def test_cmplx(self):
+        y = np.random.rand(10,)+1j*np.random.rand(10,)
+        assert_array_equal(y.real, np.real(y))
+
+        y = np.array(1 + 1j)
+        out = np.real(y)
+        assert_array_equal(y.real, out)
+        assert_(isinstance(out, np.ndarray))
+
+        y = 1 + 1j
+        out = np.real(y)
+        assert_equal(1.0, out)
+        assert_(not isinstance(out, np.ndarray))
+
+
+class TestImag:
+
+    def test_real(self):
+        y = np.random.rand(10,)
+        assert_array_equal(0, np.imag(y))
+
+        y = np.array(1)
+        out = np.imag(y)
+        assert_array_equal(0, out)
+        assert_(isinstance(out, np.ndarray))
+
+        y = 1
+        out = np.imag(y)
+        assert_equal(0, out)
+        assert_(not isinstance(out, np.ndarray))
+
+    def test_cmplx(self):
+        y = np.random.rand(10,)+1j*np.random.rand(10,)
+        assert_array_equal(y.imag, np.imag(y))
+
+        y = np.array(1 + 1j)
+        out = np.imag(y)
+        assert_array_equal(y.imag, out)
+        assert_(isinstance(out, np.ndarray))
+
+        y = 1 + 1j
+        out = np.imag(y)
+        assert_equal(1.0, out)
+        assert_(not isinstance(out, np.ndarray))
+
+
+class TestIscomplex:
+
+    def test_fail(self):
+        z = np.array([-1, 0, 1])
+        res = iscomplex(z)
+        assert_(not np.any(res, axis=0))
+
+    def test_pass(self):
+        z = np.array([-1j, 1, 0])
+        res = iscomplex(z)
+        assert_array_equal(res, [1, 0, 0])
+
+
+class TestIsreal:
+
+    def test_pass(self):
+        z = np.array([-1, 0, 1j])
+        res = isreal(z)
+        assert_array_equal(res, [1, 1, 0])
+
+    def test_fail(self):
+        z = np.array([-1j, 1, 0])
+        res = isreal(z)
+        assert_array_equal(res, [0, 1, 1])
+
+
+class TestIscomplexobj:
+
+    def test_basic(self):
+        z = np.array([-1, 0, 1])
+        assert_(not iscomplexobj(z))
+        z = np.array([-1j, 0, -1])
+        assert_(iscomplexobj(z))
+
+    def test_scalar(self):
+        assert_(not iscomplexobj(1.0))
+        assert_(iscomplexobj(1+0j))
+
+    def test_list(self):
+        assert_(iscomplexobj([3, 1+0j, True]))
+        assert_(not iscomplexobj([3, 1, True]))
+
+    def test_duck(self):
+        class DummyComplexArray:
+            @property
+            def dtype(self):
+                return np.dtype(complex)
+        dummy = DummyComplexArray()
+        assert_(iscomplexobj(dummy))
+
+    def test_pandas_duck(self):
+        # This tests a custom np.dtype duck-typed class, such as used by pandas
+        # (pandas.core.dtypes)
+        class PdComplex(np.complex128):
+            pass
+        class PdDtype:
+            name = 'category'
+            names = None
+            type = PdComplex
+            kind = 'c'
+            str = ' 1e10) and assert_all(np.isfinite(vals[2]))
+        assert_equal(type(vals), np.ndarray)
+
+        # perform the same tests but with nan, posinf and neginf keywords
+        with np.errstate(divide='ignore', invalid='ignore'):
+            vals = nan_to_num(np.array((-1., 0, 1))/0.,
+                              nan=10, posinf=20, neginf=30)
+        assert_equal(vals, [30, 10, 20])
+        assert_all(np.isfinite(vals[[0, 2]]))
+        assert_equal(type(vals), np.ndarray)
+
+        # perform the same test but in-place
+        with np.errstate(divide='ignore', invalid='ignore'):
+            vals = np.array((-1., 0, 1))/0.
+        result = nan_to_num(vals, copy=False)
+
+        assert_(result is vals)
+        assert_all(vals[0] < -1e10) and assert_all(np.isfinite(vals[0]))
+        assert_(vals[1] == 0)
+        assert_all(vals[2] > 1e10) and assert_all(np.isfinite(vals[2]))
+        assert_equal(type(vals), np.ndarray)
+
+        # perform the same test but in-place
+        with np.errstate(divide='ignore', invalid='ignore'):
+            vals = np.array((-1., 0, 1))/0.
+        result = nan_to_num(vals, copy=False, nan=10, posinf=20, neginf=30)
+
+        assert_(result is vals)
+        assert_equal(vals, [30, 10, 20])
+        assert_all(np.isfinite(vals[[0, 2]]))
+        assert_equal(type(vals), np.ndarray)
+
+    def test_array(self):
+        vals = nan_to_num([1])
+        assert_array_equal(vals, np.array([1], int))
+        assert_equal(type(vals), np.ndarray)
+        vals = nan_to_num([1], nan=10, posinf=20, neginf=30)
+        assert_array_equal(vals, np.array([1], int))
+        assert_equal(type(vals), np.ndarray)
+
+    def test_integer(self):
+        vals = nan_to_num(1)
+        assert_all(vals == 1)
+        assert_equal(type(vals), np.int_)
+        vals = nan_to_num(1, nan=10, posinf=20, neginf=30)
+        assert_all(vals == 1)
+        assert_equal(type(vals), np.int_)
+
+    def test_float(self):
+        vals = nan_to_num(1.0)
+        assert_all(vals == 1.0)
+        assert_equal(type(vals), np.float64)
+        vals = nan_to_num(1.1, nan=10, posinf=20, neginf=30)
+        assert_all(vals == 1.1)
+        assert_equal(type(vals), np.float64)
+
+    def test_complex_good(self):
+        vals = nan_to_num(1+1j)
+        assert_all(vals == 1+1j)
+        assert_equal(type(vals), np.complex128)
+        vals = nan_to_num(1+1j, nan=10, posinf=20, neginf=30)
+        assert_all(vals == 1+1j)
+        assert_equal(type(vals), np.complex128)
+
+    def test_complex_bad(self):
+        with np.errstate(divide='ignore', invalid='ignore'):
+            v = 1 + 1j
+            v += np.array(0+1.j)/0.
+        vals = nan_to_num(v)
+        # !! This is actually (unexpectedly) zero
+        assert_all(np.isfinite(vals))
+        assert_equal(type(vals), np.complex128)
+
+    def test_complex_bad2(self):
+        with np.errstate(divide='ignore', invalid='ignore'):
+            v = 1 + 1j
+            v += np.array(-1+1.j)/0.
+        vals = nan_to_num(v)
+        assert_all(np.isfinite(vals))
+        assert_equal(type(vals), np.complex128)
+        # Fixme
+        #assert_all(vals.imag > 1e10)  and assert_all(np.isfinite(vals))
+        # !! This is actually (unexpectedly) positive
+        # !! inf.  Comment out for now, and see if it
+        # !! changes
+        #assert_all(vals.real < -1e10) and assert_all(np.isfinite(vals))
+
+    def test_do_not_rewrite_previous_keyword(self):
+        # This is done to test that when, for instance, nan=np.inf then these
+        # values are not rewritten by posinf keyword to the posinf value.
+        with np.errstate(divide='ignore', invalid='ignore'):
+            vals = nan_to_num(np.array((-1., 0, 1))/0., nan=np.inf, posinf=999)
+        assert_all(np.isfinite(vals[[0, 2]]))
+        assert_all(vals[0] < -1e10)
+        assert_equal(vals[[1, 2]], [np.inf, 999])
+        assert_equal(type(vals), np.ndarray)
+
+
+class TestRealIfClose:
+
+    def test_basic(self):
+        a = np.random.rand(10)
+        b = real_if_close(a+1e-15j)
+        assert_all(isrealobj(b))
+        assert_array_equal(a, b)
+        b = real_if_close(a+1e-7j)
+        assert_all(iscomplexobj(b))
+        b = real_if_close(a+1e-7j, tol=1e-6)
+        assert_all(isrealobj(b))
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_ufunclike.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_ufunclike.py
new file mode 100644
index 0000000000000000000000000000000000000000..4b5d11010e0f0e4dcd94c3b0067caee7a849ea58
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_ufunclike.py
@@ -0,0 +1,100 @@
+import numpy as np
+
+from numpy import fix, isposinf, isneginf
+from numpy.testing import (
+    assert_, assert_equal, assert_array_equal, assert_raises
+)
+
+
+class TestUfunclike:
+
+    def test_isposinf(self):
+        a = np.array([np.inf, -np.inf, np.nan, 0.0, 3.0, -3.0])
+        out = np.zeros(a.shape, bool)
+        tgt = np.array([True, False, False, False, False, False])
+
+        res = isposinf(a)
+        assert_equal(res, tgt)
+        res = isposinf(a, out)
+        assert_equal(res, tgt)
+        assert_equal(out, tgt)
+
+        a = a.astype(np.complex128)
+        with assert_raises(TypeError):
+            isposinf(a)
+
+    def test_isneginf(self):
+        a = np.array([np.inf, -np.inf, np.nan, 0.0, 3.0, -3.0])
+        out = np.zeros(a.shape, bool)
+        tgt = np.array([False, True, False, False, False, False])
+
+        res = isneginf(a)
+        assert_equal(res, tgt)
+        res = isneginf(a, out)
+        assert_equal(res, tgt)
+        assert_equal(out, tgt)
+
+        a = a.astype(np.complex128)
+        with assert_raises(TypeError):
+            isneginf(a)
+
+    def test_fix(self):
+        a = np.array([[1.0, 1.1, 1.5, 1.8], [-1.0, -1.1, -1.5, -1.8]])
+        out = np.zeros(a.shape, float)
+        tgt = np.array([[1., 1., 1., 1.], [-1., -1., -1., -1.]])
+
+        res = fix(a)
+        assert_equal(res, tgt)
+        res = fix(a, out)
+        assert_equal(res, tgt)
+        assert_equal(out, tgt)
+        assert_equal(fix(3.14), 3)
+
+    def test_fix_with_subclass(self):
+        class MyArray(np.ndarray):
+            def __new__(cls, data, metadata=None):
+                res = np.array(data, copy=True).view(cls)
+                res.metadata = metadata
+                return res
+
+            def __array_wrap__(self, obj, context=None, return_scalar=False):
+                if not isinstance(obj, MyArray):
+                    obj = obj.view(MyArray)
+                if obj.metadata is None:
+                    obj.metadata = self.metadata
+                return obj
+
+            def __array_finalize__(self, obj):
+                self.metadata = getattr(obj, 'metadata', None)
+                return self
+
+        a = np.array([1.1, -1.1])
+        m = MyArray(a, metadata='foo')
+        f = fix(m)
+        assert_array_equal(f, np.array([1, -1]))
+        assert_(isinstance(f, MyArray))
+        assert_equal(f.metadata, 'foo')
+
+        # check 0d arrays don't decay to scalars
+        m0d = m[0,...]
+        m0d.metadata = 'bar'
+        f0d = fix(m0d)
+        assert_(isinstance(f0d, MyArray))
+        assert_equal(f0d.metadata, 'bar')
+
+    def test_scalar(self):
+        x = np.inf
+        actual = np.isposinf(x)
+        expected = np.True_
+        assert_equal(actual, expected)
+        assert_equal(type(actual), type(expected))
+
+        x = -3.4
+        actual = np.fix(x)
+        expected = np.float64(-3.0)
+        assert_equal(actual, expected)
+        assert_equal(type(actual), type(expected))
+
+        out = np.array(0.0)
+        actual = np.fix(x, out=out)
+        assert_(actual is out)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_utils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..644912d941e3c233741ba415f6469b1cebf994b2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/lib/tests/test_utils.py
@@ -0,0 +1,80 @@
+import pytest
+
+import numpy as np
+from numpy.testing import assert_raises_regex
+import numpy.lib._utils_impl as _utils_impl
+
+from io import StringIO
+
+
+def test_assert_raises_regex_context_manager():
+    with assert_raises_regex(ValueError, 'no deprecation warning'):
+        raise ValueError('no deprecation warning')
+
+
+def test_info_method_heading():
+    # info(class) should only print "Methods:" heading if methods exist
+
+    class NoPublicMethods:
+        pass
+
+    class WithPublicMethods:
+        def first_method():
+            pass
+
+    def _has_method_heading(cls):
+        out = StringIO()
+        np.info(cls, output=out)
+        return 'Methods:' in out.getvalue()
+
+    assert _has_method_heading(WithPublicMethods)
+    assert not _has_method_heading(NoPublicMethods)
+
+
+def test_drop_metadata():
+    def _compare_dtypes(dt1, dt2):
+        return np.can_cast(dt1, dt2, casting='no')
+
+    # structured dtype
+    dt = np.dtype([('l1', [('l2', np.dtype('S8', metadata={'msg': 'toto'}))])],
+                  metadata={'msg': 'titi'})
+    dt_m = _utils_impl.drop_metadata(dt)
+    assert _compare_dtypes(dt, dt_m) is True
+    assert dt_m.metadata is None
+    assert dt_m['l1'].metadata is None
+    assert dt_m['l1']['l2'].metadata is None
+
+    # alignment
+    dt = np.dtype([('x', '>> from numpy import linalg as LA
+    >>> LA.inv(np.zeros((2,2)))
+    Traceback (most recent call last):
+      File "", line 1, in 
+      File "...linalg.py", line 350,
+        in inv return wrap(solve(a, identity(a.shape[0], dtype=a.dtype)))
+      File "...linalg.py", line 249,
+        in solve
+        raise LinAlgError('Singular matrix')
+    numpy.linalg.LinAlgError: Singular matrix
+
+    """
+
+
+def _raise_linalgerror_singular(err, flag):
+    raise LinAlgError("Singular matrix")
+
+def _raise_linalgerror_nonposdef(err, flag):
+    raise LinAlgError("Matrix is not positive definite")
+
+def _raise_linalgerror_eigenvalues_nonconvergence(err, flag):
+    raise LinAlgError("Eigenvalues did not converge")
+
+def _raise_linalgerror_svd_nonconvergence(err, flag):
+    raise LinAlgError("SVD did not converge")
+
+def _raise_linalgerror_lstsq(err, flag):
+    raise LinAlgError("SVD did not converge in Linear Least Squares")
+
+def _raise_linalgerror_qr(err, flag):
+    raise LinAlgError("Incorrect argument found while performing "
+                      "QR factorization")
+
+
+def _makearray(a):
+    new = asarray(a)
+    wrap = getattr(a, "__array_wrap__", new.__array_wrap__)
+    return new, wrap
+
+def isComplexType(t):
+    return issubclass(t, complexfloating)
+
+
+_real_types_map = {single: single,
+                   double: double,
+                   csingle: single,
+                   cdouble: double}
+
+_complex_types_map = {single: csingle,
+                      double: cdouble,
+                      csingle: csingle,
+                      cdouble: cdouble}
+
+def _realType(t, default=double):
+    return _real_types_map.get(t, default)
+
+def _complexType(t, default=cdouble):
+    return _complex_types_map.get(t, default)
+
+def _commonType(*arrays):
+    # in lite version, use higher precision (always double or cdouble)
+    result_type = single
+    is_complex = False
+    for a in arrays:
+        type_ = a.dtype.type
+        if issubclass(type_, inexact):
+            if isComplexType(type_):
+                is_complex = True
+            rt = _realType(type_, default=None)
+            if rt is double:
+                result_type = double
+            elif rt is None:
+                # unsupported inexact scalar
+                raise TypeError("array type %s is unsupported in linalg" %
+                        (a.dtype.name,))
+        else:
+            result_type = double
+    if is_complex:
+        result_type = _complex_types_map[result_type]
+        return cdouble, result_type
+    else:
+        return double, result_type
+
+
+def _to_native_byte_order(*arrays):
+    ret = []
+    for arr in arrays:
+        if arr.dtype.byteorder not in ('=', '|'):
+            ret.append(asarray(arr, dtype=arr.dtype.newbyteorder('=')))
+        else:
+            ret.append(arr)
+    if len(ret) == 1:
+        return ret[0]
+    else:
+        return ret
+
+
+def _assert_2d(*arrays):
+    for a in arrays:
+        if a.ndim != 2:
+            raise LinAlgError('%d-dimensional array given. Array must be '
+                    'two-dimensional' % a.ndim)
+
+def _assert_stacked_2d(*arrays):
+    for a in arrays:
+        if a.ndim < 2:
+            raise LinAlgError('%d-dimensional array given. Array must be '
+                    'at least two-dimensional' % a.ndim)
+
+def _assert_stacked_square(*arrays):
+    for a in arrays:
+        m, n = a.shape[-2:]
+        if m != n:
+            raise LinAlgError('Last 2 dimensions of the array must be square')
+
+def _assert_finite(*arrays):
+    for a in arrays:
+        if not isfinite(a).all():
+            raise LinAlgError("Array must not contain infs or NaNs")
+
+def _is_empty_2d(arr):
+    # check size first for efficiency
+    return arr.size == 0 and prod(arr.shape[-2:]) == 0
+
+
+def transpose(a):
+    """
+    Transpose each matrix in a stack of matrices.
+
+    Unlike np.transpose, this only swaps the last two axes, rather than all of
+    them
+
+    Parameters
+    ----------
+    a : (...,M,N) array_like
+
+    Returns
+    -------
+    aT : (...,N,M) ndarray
+    """
+    return swapaxes(a, -1, -2)
+
+# Linear equations
+
+def _tensorsolve_dispatcher(a, b, axes=None):
+    return (a, b)
+
+
+@array_function_dispatch(_tensorsolve_dispatcher)
+def tensorsolve(a, b, axes=None):
+    """
+    Solve the tensor equation ``a x = b`` for x.
+
+    It is assumed that all indices of `x` are summed over in the product,
+    together with the rightmost indices of `a`, as is done in, for example,
+    ``tensordot(a, x, axes=x.ndim)``.
+
+    Parameters
+    ----------
+    a : array_like
+        Coefficient tensor, of shape ``b.shape + Q``. `Q`, a tuple, equals
+        the shape of that sub-tensor of `a` consisting of the appropriate
+        number of its rightmost indices, and must be such that
+        ``prod(Q) == prod(b.shape)`` (in which sense `a` is said to be
+        'square').
+    b : array_like
+        Right-hand tensor, which can be of any shape.
+    axes : tuple of ints, optional
+        Axes in `a` to reorder to the right, before inversion.
+        If None (default), no reordering is done.
+
+    Returns
+    -------
+    x : ndarray, shape Q
+
+    Raises
+    ------
+    LinAlgError
+        If `a` is singular or not 'square' (in the above sense).
+
+    See Also
+    --------
+    numpy.tensordot, tensorinv, numpy.einsum
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.eye(2*3*4)
+    >>> a.shape = (2*3, 4, 2, 3, 4)
+    >>> rng = np.random.default_rng()
+    >>> b = rng.normal(size=(2*3, 4))
+    >>> x = np.linalg.tensorsolve(a, b)
+    >>> x.shape
+    (2, 3, 4)
+    >>> np.allclose(np.tensordot(a, x, axes=3), b)
+    True
+
+    """
+    a, wrap = _makearray(a)
+    b = asarray(b)
+    an = a.ndim
+
+    if axes is not None:
+        allaxes = list(range(0, an))
+        for k in axes:
+            allaxes.remove(k)
+            allaxes.insert(an, k)
+        a = a.transpose(allaxes)
+
+    oldshape = a.shape[-(an-b.ndim):]
+    prod = 1
+    for k in oldshape:
+        prod *= k
+
+    if a.size != prod ** 2:
+        raise LinAlgError(
+            "Input arrays must satisfy the requirement \
+            prod(a.shape[b.ndim:]) == prod(a.shape[:b.ndim])"
+        )
+
+    a = a.reshape(prod, prod)
+    b = b.ravel()
+    res = wrap(solve(a, b))
+    res.shape = oldshape
+    return res
+
+
+def _solve_dispatcher(a, b):
+    return (a, b)
+
+
+@array_function_dispatch(_solve_dispatcher)
+def solve(a, b):
+    """
+    Solve a linear matrix equation, or system of linear scalar equations.
+
+    Computes the "exact" solution, `x`, of the well-determined, i.e., full
+    rank, linear matrix equation `ax = b`.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        Coefficient matrix.
+    b : {(M,), (..., M, K)}, array_like
+        Ordinate or "dependent variable" values.
+
+    Returns
+    -------
+    x : {(..., M,), (..., M, K)} ndarray
+        Solution to the system a x = b.  Returned shape is (..., M) if b is
+        shape (M,) and (..., M, K) if b is (..., M, K), where the "..." part is
+        broadcasted between a and b.
+
+    Raises
+    ------
+    LinAlgError
+        If `a` is singular or not square.
+
+    See Also
+    --------
+    scipy.linalg.solve : Similar function in SciPy.
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    The solutions are computed using LAPACK routine ``_gesv``.
+
+    `a` must be square and of full-rank, i.e., all rows (or, equivalently,
+    columns) must be linearly independent; if either is not true, use
+    `lstsq` for the least-squares best "solution" of the
+    system/equation.
+
+    .. versionchanged:: 2.0
+
+       The b array is only treated as a shape (M,) column vector if it is
+       exactly 1-dimensional. In all other instances it is treated as a stack
+       of (M, K) matrices. Previously b would be treated as a stack of (M,)
+       vectors if b.ndim was equal to a.ndim - 1.
+
+    References
+    ----------
+    .. [1] G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando,
+           FL, Academic Press, Inc., 1980, pg. 22.
+
+    Examples
+    --------
+    Solve the system of equations:
+    ``x0 + 2 * x1 = 1`` and
+    ``3 * x0 + 5 * x1 = 2``:
+
+    >>> import numpy as np
+    >>> a = np.array([[1, 2], [3, 5]])
+    >>> b = np.array([1, 2])
+    >>> x = np.linalg.solve(a, b)
+    >>> x
+    array([-1.,  1.])
+
+    Check that the solution is correct:
+
+    >>> np.allclose(np.dot(a, x), b)
+    True
+
+    """
+    a, _ = _makearray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    b, wrap = _makearray(b)
+    t, result_t = _commonType(a, b)
+
+    # We use the b = (..., M,) logic, only if the number of extra dimensions
+    # match exactly
+    if b.ndim == 1:
+        gufunc = _umath_linalg.solve1
+    else:
+        gufunc = _umath_linalg.solve
+
+    signature = 'DD->D' if isComplexType(t) else 'dd->d'
+    with errstate(call=_raise_linalgerror_singular, invalid='call',
+                  over='ignore', divide='ignore', under='ignore'):
+        r = gufunc(a, b, signature=signature)
+
+    return wrap(r.astype(result_t, copy=False))
+
+
+def _tensorinv_dispatcher(a, ind=None):
+    return (a,)
+
+
+@array_function_dispatch(_tensorinv_dispatcher)
+def tensorinv(a, ind=2):
+    """
+    Compute the 'inverse' of an N-dimensional array.
+
+    The result is an inverse for `a` relative to the tensordot operation
+    ``tensordot(a, b, ind)``, i. e., up to floating-point accuracy,
+    ``tensordot(tensorinv(a), a, ind)`` is the "identity" tensor for the
+    tensordot operation.
+
+    Parameters
+    ----------
+    a : array_like
+        Tensor to 'invert'. Its shape must be 'square', i. e.,
+        ``prod(a.shape[:ind]) == prod(a.shape[ind:])``.
+    ind : int, optional
+        Number of first indices that are involved in the inverse sum.
+        Must be a positive integer, default is 2.
+
+    Returns
+    -------
+    b : ndarray
+        `a`'s tensordot inverse, shape ``a.shape[ind:] + a.shape[:ind]``.
+
+    Raises
+    ------
+    LinAlgError
+        If `a` is singular or not 'square' (in the above sense).
+
+    See Also
+    --------
+    numpy.tensordot, tensorsolve
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.eye(4*6)
+    >>> a.shape = (4, 6, 8, 3)
+    >>> ainv = np.linalg.tensorinv(a, ind=2)
+    >>> ainv.shape
+    (8, 3, 4, 6)
+    >>> rng = np.random.default_rng()
+    >>> b = rng.normal(size=(4, 6))
+    >>> np.allclose(np.tensordot(ainv, b), np.linalg.tensorsolve(a, b))
+    True
+
+    >>> a = np.eye(4*6)
+    >>> a.shape = (24, 8, 3)
+    >>> ainv = np.linalg.tensorinv(a, ind=1)
+    >>> ainv.shape
+    (8, 3, 24)
+    >>> rng = np.random.default_rng()
+    >>> b = rng.normal(size=24)
+    >>> np.allclose(np.tensordot(ainv, b, 1), np.linalg.tensorsolve(a, b))
+    True
+
+    """
+    a = asarray(a)
+    oldshape = a.shape
+    prod = 1
+    if ind > 0:
+        invshape = oldshape[ind:] + oldshape[:ind]
+        for k in oldshape[ind:]:
+            prod *= k
+    else:
+        raise ValueError("Invalid ind argument.")
+    a = a.reshape(prod, -1)
+    ia = inv(a)
+    return ia.reshape(*invshape)
+
+
+# Matrix inversion
+
+def _unary_dispatcher(a):
+    return (a,)
+
+
+@array_function_dispatch(_unary_dispatcher)
+def inv(a):
+    """
+    Compute the inverse of a matrix.
+
+    Given a square matrix `a`, return the matrix `ainv` satisfying
+    ``a @ ainv = ainv @ a = eye(a.shape[0])``.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        Matrix to be inverted.
+
+    Returns
+    -------
+    ainv : (..., M, M) ndarray or matrix
+        Inverse of the matrix `a`.
+
+    Raises
+    ------
+    LinAlgError
+        If `a` is not square or inversion fails.
+
+    See Also
+    --------
+    scipy.linalg.inv : Similar function in SciPy.
+    numpy.linalg.cond : Compute the condition number of a matrix.
+    numpy.linalg.svd : Compute the singular value decomposition of a matrix.
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    If `a` is detected to be singular, a `LinAlgError` is raised. If `a` is
+    ill-conditioned, a `LinAlgError` may or may not be raised, and results may
+    be inaccurate due to floating-point errors.
+
+    References
+    ----------
+    .. [1] Wikipedia, "Condition number",
+           https://en.wikipedia.org/wiki/Condition_number
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.linalg import inv
+    >>> a = np.array([[1., 2.], [3., 4.]])
+    >>> ainv = inv(a)
+    >>> np.allclose(a @ ainv, np.eye(2))
+    True
+    >>> np.allclose(ainv @ a, np.eye(2))
+    True
+
+    If a is a matrix object, then the return value is a matrix as well:
+
+    >>> ainv = inv(np.matrix(a))
+    >>> ainv
+    matrix([[-2. ,  1. ],
+            [ 1.5, -0.5]])
+
+    Inverses of several matrices can be computed at once:
+
+    >>> a = np.array([[[1., 2.], [3., 4.]], [[1, 3], [3, 5]]])
+    >>> inv(a)
+    array([[[-2.  ,  1.  ],
+            [ 1.5 , -0.5 ]],
+           [[-1.25,  0.75],
+            [ 0.75, -0.25]]])
+
+    If a matrix is close to singular, the computed inverse may not satisfy
+    ``a @ ainv = ainv @ a = eye(a.shape[0])`` even if a `LinAlgError`
+    is not raised:
+
+    >>> a = np.array([[2,4,6],[2,0,2],[6,8,14]])
+    >>> inv(a)  # No errors raised
+    array([[-1.12589991e+15, -5.62949953e+14,  5.62949953e+14],
+       [-1.12589991e+15, -5.62949953e+14,  5.62949953e+14],
+       [ 1.12589991e+15,  5.62949953e+14, -5.62949953e+14]])
+    >>> a @ inv(a)
+    array([[ 0.   , -0.5  ,  0.   ],  # may vary
+           [-0.5  ,  0.625,  0.25 ],
+           [ 0.   ,  0.   ,  1.   ]])
+
+    To detect ill-conditioned matrices, you can use `numpy.linalg.cond` to
+    compute its *condition number* [1]_. The larger the condition number, the
+    more ill-conditioned the matrix is. As a rule of thumb, if the condition
+    number ``cond(a) = 10**k``, then you may lose up to ``k`` digits of
+    accuracy on top of what would be lost to the numerical method due to loss
+    of precision from arithmetic methods.
+
+    >>> from numpy.linalg import cond
+    >>> cond(a)
+    np.float64(8.659885634118668e+17)  # may vary
+
+    It is also possible to detect ill-conditioning by inspecting the matrix's
+    singular values directly. The ratio between the largest and the smallest
+    singular value is the condition number:
+
+    >>> from numpy.linalg import svd
+    >>> sigma = svd(a, compute_uv=False)  # Do not compute singular vectors
+    >>> sigma.max()/sigma.min()
+    8.659885634118668e+17  # may vary
+
+    """
+    a, wrap = _makearray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    t, result_t = _commonType(a)
+
+    signature = 'D->D' if isComplexType(t) else 'd->d'
+    with errstate(call=_raise_linalgerror_singular, invalid='call',
+                  over='ignore', divide='ignore', under='ignore'):
+        ainv = _umath_linalg.inv(a, signature=signature)
+    return wrap(ainv.astype(result_t, copy=False))
+
+
+def _matrix_power_dispatcher(a, n):
+    return (a,)
+
+
+@array_function_dispatch(_matrix_power_dispatcher)
+def matrix_power(a, n):
+    """
+    Raise a square matrix to the (integer) power `n`.
+
+    For positive integers `n`, the power is computed by repeated matrix
+    squarings and matrix multiplications. If ``n == 0``, the identity matrix
+    of the same shape as M is returned. If ``n < 0``, the inverse
+    is computed and then raised to the ``abs(n)``.
+
+    .. note:: Stacks of object matrices are not currently supported.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        Matrix to be "powered".
+    n : int
+        The exponent can be any integer or long integer, positive,
+        negative, or zero.
+
+    Returns
+    -------
+    a**n : (..., M, M) ndarray or matrix object
+        The return value is the same shape and type as `M`;
+        if the exponent is positive or zero then the type of the
+        elements is the same as those of `M`. If the exponent is
+        negative the elements are floating-point.
+
+    Raises
+    ------
+    LinAlgError
+        For matrices that are not square or that (for negative powers) cannot
+        be inverted numerically.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.linalg import matrix_power
+    >>> i = np.array([[0, 1], [-1, 0]]) # matrix equiv. of the imaginary unit
+    >>> matrix_power(i, 3) # should = -i
+    array([[ 0, -1],
+           [ 1,  0]])
+    >>> matrix_power(i, 0)
+    array([[1, 0],
+           [0, 1]])
+    >>> matrix_power(i, -3) # should = 1/(-i) = i, but w/ f.p. elements
+    array([[ 0.,  1.],
+           [-1.,  0.]])
+
+    Somewhat more sophisticated example
+
+    >>> q = np.zeros((4, 4))
+    >>> q[0:2, 0:2] = -i
+    >>> q[2:4, 2:4] = i
+    >>> q # one of the three quaternion units not equal to 1
+    array([[ 0., -1.,  0.,  0.],
+           [ 1.,  0.,  0.,  0.],
+           [ 0.,  0.,  0.,  1.],
+           [ 0.,  0., -1.,  0.]])
+    >>> matrix_power(q, 2) # = -np.eye(4)
+    array([[-1.,  0.,  0.,  0.],
+           [ 0., -1.,  0.,  0.],
+           [ 0.,  0., -1.,  0.],
+           [ 0.,  0.,  0., -1.]])
+
+    """
+    a = asanyarray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+
+    try:
+        n = operator.index(n)
+    except TypeError as e:
+        raise TypeError("exponent must be an integer") from e
+
+    # Fall back on dot for object arrays. Object arrays are not supported by
+    # the current implementation of matmul using einsum
+    if a.dtype != object:
+        fmatmul = matmul
+    elif a.ndim == 2:
+        fmatmul = dot
+    else:
+        raise NotImplementedError(
+            "matrix_power not supported for stacks of object arrays")
+
+    if n == 0:
+        a = empty_like(a)
+        a[...] = eye(a.shape[-2], dtype=a.dtype)
+        return a
+
+    elif n < 0:
+        a = inv(a)
+        n = abs(n)
+
+    # short-cuts.
+    if n == 1:
+        return a
+
+    elif n == 2:
+        return fmatmul(a, a)
+
+    elif n == 3:
+        return fmatmul(fmatmul(a, a), a)
+
+    # Use binary decomposition to reduce the number of matrix multiplications.
+    # Here, we iterate over the bits of n, from LSB to MSB, raise `a` to
+    # increasing powers of 2, and multiply into the result as needed.
+    z = result = None
+    while n > 0:
+        z = a if z is None else fmatmul(z, z)
+        n, bit = divmod(n, 2)
+        if bit:
+            result = z if result is None else fmatmul(result, z)
+
+    return result
+
+
+# Cholesky decomposition
+
+def _cholesky_dispatcher(a, /, *, upper=None):
+    return (a,)
+
+
+@array_function_dispatch(_cholesky_dispatcher)
+def cholesky(a, /, *, upper=False):
+    """
+    Cholesky decomposition.
+
+    Return the lower or upper Cholesky decomposition, ``L * L.H`` or
+    ``U.H * U``, of the square matrix ``a``, where ``L`` is lower-triangular,
+    ``U`` is upper-triangular, and ``.H`` is the conjugate transpose operator
+    (which is the ordinary transpose if ``a`` is real-valued). ``a`` must be
+    Hermitian (symmetric if real-valued) and positive-definite. No checking is
+    performed to verify whether ``a`` is Hermitian or not. In addition, only
+    the lower or upper-triangular and diagonal elements of ``a`` are used.
+    Only ``L`` or ``U`` is actually returned.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        Hermitian (symmetric if all elements are real), positive-definite
+        input matrix.
+    upper : bool
+        If ``True``, the result must be the upper-triangular Cholesky factor.
+        If ``False``, the result must be the lower-triangular Cholesky factor.
+        Default: ``False``.
+
+    Returns
+    -------
+    L : (..., M, M) array_like
+        Lower or upper-triangular Cholesky factor of `a`. Returns a matrix
+        object if `a` is a matrix object.
+
+    Raises
+    ------
+    LinAlgError
+       If the decomposition fails, for example, if `a` is not
+       positive-definite.
+
+    See Also
+    --------
+    scipy.linalg.cholesky : Similar function in SciPy.
+    scipy.linalg.cholesky_banded : Cholesky decompose a banded Hermitian
+                                   positive-definite matrix.
+    scipy.linalg.cho_factor : Cholesky decomposition of a matrix, to use in
+                              `scipy.linalg.cho_solve`.
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    The Cholesky decomposition is often used as a fast way of solving
+
+    .. math:: A \\mathbf{x} = \\mathbf{b}
+
+    (when `A` is both Hermitian/symmetric and positive-definite).
+
+    First, we solve for :math:`\\mathbf{y}` in
+
+    .. math:: L \\mathbf{y} = \\mathbf{b},
+
+    and then for :math:`\\mathbf{x}` in
+
+    .. math:: L^{H} \\mathbf{x} = \\mathbf{y}.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> A = np.array([[1,-2j],[2j,5]])
+    >>> A
+    array([[ 1.+0.j, -0.-2.j],
+           [ 0.+2.j,  5.+0.j]])
+    >>> L = np.linalg.cholesky(A)
+    >>> L
+    array([[1.+0.j, 0.+0.j],
+           [0.+2.j, 1.+0.j]])
+    >>> np.dot(L, L.T.conj()) # verify that L * L.H = A
+    array([[1.+0.j, 0.-2.j],
+           [0.+2.j, 5.+0.j]])
+    >>> A = [[1,-2j],[2j,5]] # what happens if A is only array_like?
+    >>> np.linalg.cholesky(A) # an ndarray object is returned
+    array([[1.+0.j, 0.+0.j],
+           [0.+2.j, 1.+0.j]])
+    >>> # But a matrix object is returned if A is a matrix object
+    >>> np.linalg.cholesky(np.matrix(A))
+    matrix([[ 1.+0.j,  0.+0.j],
+            [ 0.+2.j,  1.+0.j]])
+    >>> # The upper-triangular Cholesky factor can also be obtained.
+    >>> np.linalg.cholesky(A, upper=True)
+    array([[1.-0.j, 0.-2.j],
+           [0.-0.j, 1.-0.j]])
+
+    """
+    gufunc = _umath_linalg.cholesky_up if upper else _umath_linalg.cholesky_lo
+    a, wrap = _makearray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    t, result_t = _commonType(a)
+    signature = 'D->D' if isComplexType(t) else 'd->d'
+    with errstate(call=_raise_linalgerror_nonposdef, invalid='call',
+                  over='ignore', divide='ignore', under='ignore'):
+        r = gufunc(a, signature=signature)
+    return wrap(r.astype(result_t, copy=False))
+
+
+# outer product
+
+
+def _outer_dispatcher(x1, x2):
+    return (x1, x2)
+
+
+@array_function_dispatch(_outer_dispatcher)
+def outer(x1, x2, /):
+    """
+    Compute the outer product of two vectors.
+
+    This function is Array API compatible. Compared to ``np.outer``
+    it accepts 1-dimensional inputs only.
+
+    Parameters
+    ----------
+    x1 : (M,) array_like
+        One-dimensional input array of size ``N``.
+        Must have a numeric data type.
+    x2 : (N,) array_like
+        One-dimensional input array of size ``M``.
+        Must have a numeric data type.
+
+    Returns
+    -------
+    out : (M, N) ndarray
+        ``out[i, j] = a[i] * b[j]``
+
+    See also
+    --------
+    outer
+
+    Examples
+    --------
+    Make a (*very* coarse) grid for computing a Mandelbrot set:
+
+    >>> rl = np.linalg.outer(np.ones((5,)), np.linspace(-2, 2, 5))
+    >>> rl
+    array([[-2., -1.,  0.,  1.,  2.],
+           [-2., -1.,  0.,  1.,  2.],
+           [-2., -1.,  0.,  1.,  2.],
+           [-2., -1.,  0.,  1.,  2.],
+           [-2., -1.,  0.,  1.,  2.]])
+    >>> im = np.linalg.outer(1j*np.linspace(2, -2, 5), np.ones((5,)))
+    >>> im
+    array([[0.+2.j, 0.+2.j, 0.+2.j, 0.+2.j, 0.+2.j],
+           [0.+1.j, 0.+1.j, 0.+1.j, 0.+1.j, 0.+1.j],
+           [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],
+           [0.-1.j, 0.-1.j, 0.-1.j, 0.-1.j, 0.-1.j],
+           [0.-2.j, 0.-2.j, 0.-2.j, 0.-2.j, 0.-2.j]])
+    >>> grid = rl + im
+    >>> grid
+    array([[-2.+2.j, -1.+2.j,  0.+2.j,  1.+2.j,  2.+2.j],
+           [-2.+1.j, -1.+1.j,  0.+1.j,  1.+1.j,  2.+1.j],
+           [-2.+0.j, -1.+0.j,  0.+0.j,  1.+0.j,  2.+0.j],
+           [-2.-1.j, -1.-1.j,  0.-1.j,  1.-1.j,  2.-1.j],
+           [-2.-2.j, -1.-2.j,  0.-2.j,  1.-2.j,  2.-2.j]])
+
+    An example using a "vector" of letters:
+
+    >>> x = np.array(['a', 'b', 'c'], dtype=object)
+    >>> np.linalg.outer(x, [1, 2, 3])
+    array([['a', 'aa', 'aaa'],
+           ['b', 'bb', 'bbb'],
+           ['c', 'cc', 'ccc']], dtype=object)
+
+    """
+    x1 = asanyarray(x1)
+    x2 = asanyarray(x2)
+    if x1.ndim != 1 or x2.ndim != 1:
+        raise ValueError(
+            "Input arrays must be one-dimensional, but they are "
+            f"{x1.ndim=} and {x2.ndim=}."
+        )
+    return _core_outer(x1, x2, out=None)
+
+
+# QR decomposition
+
+
+def _qr_dispatcher(a, mode=None):
+    return (a,)
+
+
+@array_function_dispatch(_qr_dispatcher)
+def qr(a, mode='reduced'):
+    """
+    Compute the qr factorization of a matrix.
+
+    Factor the matrix `a` as *qr*, where `q` is orthonormal and `r` is
+    upper-triangular.
+
+    Parameters
+    ----------
+    a : array_like, shape (..., M, N)
+        An array-like object with the dimensionality of at least 2.
+    mode : {'reduced', 'complete', 'r', 'raw'}, optional, default: 'reduced'
+        If K = min(M, N), then
+
+        * 'reduced'  : returns Q, R with dimensions (..., M, K), (..., K, N)
+        * 'complete' : returns Q, R with dimensions (..., M, M), (..., M, N)
+        * 'r'        : returns R only with dimensions (..., K, N)
+        * 'raw'      : returns h, tau with dimensions (..., N, M), (..., K,)
+
+        The options 'reduced', 'complete, and 'raw' are new in numpy 1.8,
+        see the notes for more information. The default is 'reduced', and to
+        maintain backward compatibility with earlier versions of numpy both
+        it and the old default 'full' can be omitted. Note that array h
+        returned in 'raw' mode is transposed for calling Fortran. The
+        'economic' mode is deprecated.  The modes 'full' and 'economic' may
+        be passed using only the first letter for backwards compatibility,
+        but all others must be spelled out. See the Notes for more
+        explanation.
+
+
+    Returns
+    -------
+    When mode is 'reduced' or 'complete', the result will be a namedtuple with
+    the attributes `Q` and `R`.
+
+    Q : ndarray of float or complex, optional
+        A matrix with orthonormal columns. When mode = 'complete' the
+        result is an orthogonal/unitary matrix depending on whether or not
+        a is real/complex. The determinant may be either +/- 1 in that
+        case. In case the number of dimensions in the input array is
+        greater than 2 then a stack of the matrices with above properties
+        is returned.
+    R : ndarray of float or complex, optional
+        The upper-triangular matrix or a stack of upper-triangular
+        matrices if the number of dimensions in the input array is greater
+        than 2.
+    (h, tau) : ndarrays of np.double or np.cdouble, optional
+        The array h contains the Householder reflectors that generate q
+        along with r. The tau array contains scaling factors for the
+        reflectors. In the deprecated  'economic' mode only h is returned.
+
+    Raises
+    ------
+    LinAlgError
+        If factoring fails.
+
+    See Also
+    --------
+    scipy.linalg.qr : Similar function in SciPy.
+    scipy.linalg.rq : Compute RQ decomposition of a matrix.
+
+    Notes
+    -----
+    This is an interface to the LAPACK routines ``dgeqrf``, ``zgeqrf``,
+    ``dorgqr``, and ``zungqr``.
+
+    For more information on the qr factorization, see for example:
+    https://en.wikipedia.org/wiki/QR_factorization
+
+    Subclasses of `ndarray` are preserved except for the 'raw' mode. So if
+    `a` is of type `matrix`, all the return values will be matrices too.
+
+    New 'reduced', 'complete', and 'raw' options for mode were added in
+    NumPy 1.8.0 and the old option 'full' was made an alias of 'reduced'.  In
+    addition the options 'full' and 'economic' were deprecated.  Because
+    'full' was the previous default and 'reduced' is the new default,
+    backward compatibility can be maintained by letting `mode` default.
+    The 'raw' option was added so that LAPACK routines that can multiply
+    arrays by q using the Householder reflectors can be used. Note that in
+    this case the returned arrays are of type np.double or np.cdouble and
+    the h array is transposed to be FORTRAN compatible.  No routines using
+    the 'raw' return are currently exposed by numpy, but some are available
+    in lapack_lite and just await the necessary work.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> rng = np.random.default_rng()
+    >>> a = rng.normal(size=(9, 6))
+    >>> Q, R = np.linalg.qr(a)
+    >>> np.allclose(a, np.dot(Q, R))  # a does equal QR
+    True
+    >>> R2 = np.linalg.qr(a, mode='r')
+    >>> np.allclose(R, R2)  # mode='r' returns the same R as mode='full'
+    True
+    >>> a = np.random.normal(size=(3, 2, 2)) # Stack of 2 x 2 matrices as input
+    >>> Q, R = np.linalg.qr(a)
+    >>> Q.shape
+    (3, 2, 2)
+    >>> R.shape
+    (3, 2, 2)
+    >>> np.allclose(a, np.matmul(Q, R))
+    True
+
+    Example illustrating a common use of `qr`: solving of least squares
+    problems
+
+    What are the least-squares-best `m` and `y0` in ``y = y0 + mx`` for
+    the following data: {(0,1), (1,0), (1,2), (2,1)}. (Graph the points
+    and you'll see that it should be y0 = 0, m = 1.)  The answer is provided
+    by solving the over-determined matrix equation ``Ax = b``, where::
+
+      A = array([[0, 1], [1, 1], [1, 1], [2, 1]])
+      x = array([[y0], [m]])
+      b = array([[1], [0], [2], [1]])
+
+    If A = QR such that Q is orthonormal (which is always possible via
+    Gram-Schmidt), then ``x = inv(R) * (Q.T) * b``.  (In numpy practice,
+    however, we simply use `lstsq`.)
+
+    >>> A = np.array([[0, 1], [1, 1], [1, 1], [2, 1]])
+    >>> A
+    array([[0, 1],
+           [1, 1],
+           [1, 1],
+           [2, 1]])
+    >>> b = np.array([1, 2, 2, 3])
+    >>> Q, R = np.linalg.qr(A)
+    >>> p = np.dot(Q.T, b)
+    >>> np.dot(np.linalg.inv(R), p)
+    array([  1.,   1.])
+
+    """
+    if mode not in ('reduced', 'complete', 'r', 'raw'):
+        if mode in ('f', 'full'):
+            # 2013-04-01, 1.8
+            msg = (
+                "The 'full' option is deprecated in favor of 'reduced'.\n"
+                "For backward compatibility let mode default."
+            )
+            warnings.warn(msg, DeprecationWarning, stacklevel=2)
+            mode = 'reduced'
+        elif mode in ('e', 'economic'):
+            # 2013-04-01, 1.8
+            msg = "The 'economic' option is deprecated."
+            warnings.warn(msg, DeprecationWarning, stacklevel=2)
+            mode = 'economic'
+        else:
+            raise ValueError(f"Unrecognized mode '{mode}'")
+
+    a, wrap = _makearray(a)
+    _assert_stacked_2d(a)
+    m, n = a.shape[-2:]
+    t, result_t = _commonType(a)
+    a = a.astype(t, copy=True)
+    a = _to_native_byte_order(a)
+    mn = min(m, n)
+
+    signature = 'D->D' if isComplexType(t) else 'd->d'
+    with errstate(call=_raise_linalgerror_qr, invalid='call',
+                  over='ignore', divide='ignore', under='ignore'):
+        tau = _umath_linalg.qr_r_raw(a, signature=signature)
+
+    # handle modes that don't return q
+    if mode == 'r':
+        r = triu(a[..., :mn, :])
+        r = r.astype(result_t, copy=False)
+        return wrap(r)
+
+    if mode == 'raw':
+        q = transpose(a)
+        q = q.astype(result_t, copy=False)
+        tau = tau.astype(result_t, copy=False)
+        return wrap(q), tau
+
+    if mode == 'economic':
+        a = a.astype(result_t, copy=False)
+        return wrap(a)
+
+    # mc is the number of columns in the resulting q
+    # matrix. If the mode is complete then it is
+    # same as number of rows, and if the mode is reduced,
+    # then it is the minimum of number of rows and columns.
+    if mode == 'complete' and m > n:
+        mc = m
+        gufunc = _umath_linalg.qr_complete
+    else:
+        mc = mn
+        gufunc = _umath_linalg.qr_reduced
+
+    signature = 'DD->D' if isComplexType(t) else 'dd->d'
+    with errstate(call=_raise_linalgerror_qr, invalid='call',
+                  over='ignore', divide='ignore', under='ignore'):
+        q = gufunc(a, tau, signature=signature)
+    r = triu(a[..., :mc, :])
+
+    q = q.astype(result_t, copy=False)
+    r = r.astype(result_t, copy=False)
+
+    return QRResult(wrap(q), wrap(r))
+
+# Eigenvalues
+
+
+@array_function_dispatch(_unary_dispatcher)
+def eigvals(a):
+    """
+    Compute the eigenvalues of a general matrix.
+
+    Main difference between `eigvals` and `eig`: the eigenvectors aren't
+    returned.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        A complex- or real-valued matrix whose eigenvalues will be computed.
+
+    Returns
+    -------
+    w : (..., M,) ndarray
+        The eigenvalues, each repeated according to its multiplicity.
+        They are not necessarily ordered, nor are they necessarily
+        real for real matrices.
+
+    Raises
+    ------
+    LinAlgError
+        If the eigenvalue computation does not converge.
+
+    See Also
+    --------
+    eig : eigenvalues and right eigenvectors of general arrays
+    eigvalsh : eigenvalues of real symmetric or complex Hermitian
+               (conjugate symmetric) arrays.
+    eigh : eigenvalues and eigenvectors of real symmetric or complex
+           Hermitian (conjugate symmetric) arrays.
+    scipy.linalg.eigvals : Similar function in SciPy.
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    This is implemented using the ``_geev`` LAPACK routines which compute
+    the eigenvalues and eigenvectors of general square arrays.
+
+    Examples
+    --------
+    Illustration, using the fact that the eigenvalues of a diagonal matrix
+    are its diagonal elements, that multiplying a matrix on the left
+    by an orthogonal matrix, `Q`, and on the right by `Q.T` (the transpose
+    of `Q`), preserves the eigenvalues of the "middle" matrix. In other words,
+    if `Q` is orthogonal, then ``Q * A * Q.T`` has the same eigenvalues as
+    ``A``:
+
+    >>> import numpy as np
+    >>> from numpy import linalg as LA
+    >>> x = np.random.random()
+    >>> Q = np.array([[np.cos(x), -np.sin(x)], [np.sin(x), np.cos(x)]])
+    >>> LA.norm(Q[0, :]), LA.norm(Q[1, :]), np.dot(Q[0, :],Q[1, :])
+    (1.0, 1.0, 0.0)
+
+    Now multiply a diagonal matrix by ``Q`` on one side and
+    by ``Q.T`` on the other:
+
+    >>> D = np.diag((-1,1))
+    >>> LA.eigvals(D)
+    array([-1.,  1.])
+    >>> A = np.dot(Q, D)
+    >>> A = np.dot(A, Q.T)
+    >>> LA.eigvals(A)
+    array([ 1., -1.]) # random
+
+    """
+    a, wrap = _makearray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    _assert_finite(a)
+    t, result_t = _commonType(a)
+
+    signature = 'D->D' if isComplexType(t) else 'd->D'
+    with errstate(call=_raise_linalgerror_eigenvalues_nonconvergence,
+                  invalid='call', over='ignore', divide='ignore',
+                  under='ignore'):
+        w = _umath_linalg.eigvals(a, signature=signature)
+
+    if not isComplexType(t):
+        if all(w.imag == 0):
+            w = w.real
+            result_t = _realType(result_t)
+        else:
+            result_t = _complexType(result_t)
+
+    return w.astype(result_t, copy=False)
+
+
+def _eigvalsh_dispatcher(a, UPLO=None):
+    return (a,)
+
+
+@array_function_dispatch(_eigvalsh_dispatcher)
+def eigvalsh(a, UPLO='L'):
+    """
+    Compute the eigenvalues of a complex Hermitian or real symmetric matrix.
+
+    Main difference from eigh: the eigenvectors are not computed.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        A complex- or real-valued matrix whose eigenvalues are to be
+        computed.
+    UPLO : {'L', 'U'}, optional
+        Specifies whether the calculation is done with the lower triangular
+        part of `a` ('L', default) or the upper triangular part ('U').
+        Irrespective of this value only the real parts of the diagonal will
+        be considered in the computation to preserve the notion of a Hermitian
+        matrix. It therefore follows that the imaginary part of the diagonal
+        will always be treated as zero.
+
+    Returns
+    -------
+    w : (..., M,) ndarray
+        The eigenvalues in ascending order, each repeated according to
+        its multiplicity.
+
+    Raises
+    ------
+    LinAlgError
+        If the eigenvalue computation does not converge.
+
+    See Also
+    --------
+    eigh : eigenvalues and eigenvectors of real symmetric or complex Hermitian
+           (conjugate symmetric) arrays.
+    eigvals : eigenvalues of general real or complex arrays.
+    eig : eigenvalues and right eigenvectors of general real or complex
+          arrays.
+    scipy.linalg.eigvalsh : Similar function in SciPy.
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    The eigenvalues are computed using LAPACK routines ``_syevd``, ``_heevd``.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy import linalg as LA
+    >>> a = np.array([[1, -2j], [2j, 5]])
+    >>> LA.eigvalsh(a)
+    array([ 0.17157288,  5.82842712]) # may vary
+
+    >>> # demonstrate the treatment of the imaginary part of the diagonal
+    >>> a = np.array([[5+2j, 9-2j], [0+2j, 2-1j]])
+    >>> a
+    array([[5.+2.j, 9.-2.j],
+           [0.+2.j, 2.-1.j]])
+    >>> # with UPLO='L' this is numerically equivalent to using LA.eigvals()
+    >>> # with:
+    >>> b = np.array([[5.+0.j, 0.-2.j], [0.+2.j, 2.-0.j]])
+    >>> b
+    array([[5.+0.j, 0.-2.j],
+           [0.+2.j, 2.+0.j]])
+    >>> wa = LA.eigvalsh(a)
+    >>> wb = LA.eigvals(b)
+    >>> wa; wb
+    array([1., 6.])
+    array([6.+0.j, 1.+0.j])
+
+    """
+    UPLO = UPLO.upper()
+    if UPLO not in ('L', 'U'):
+        raise ValueError("UPLO argument must be 'L' or 'U'")
+
+    if UPLO == 'L':
+        gufunc = _umath_linalg.eigvalsh_lo
+    else:
+        gufunc = _umath_linalg.eigvalsh_up
+
+    a, wrap = _makearray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    t, result_t = _commonType(a)
+    signature = 'D->d' if isComplexType(t) else 'd->d'
+    with errstate(call=_raise_linalgerror_eigenvalues_nonconvergence,
+                  invalid='call', over='ignore', divide='ignore',
+                  under='ignore'):
+        w = gufunc(a, signature=signature)
+    return w.astype(_realType(result_t), copy=False)
+
+def _convertarray(a):
+    t, result_t = _commonType(a)
+    a = a.astype(t).T.copy()
+    return a, t, result_t
+
+
+# Eigenvectors
+
+
+@array_function_dispatch(_unary_dispatcher)
+def eig(a):
+    """
+    Compute the eigenvalues and right eigenvectors of a square array.
+
+    Parameters
+    ----------
+    a : (..., M, M) array
+        Matrices for which the eigenvalues and right eigenvectors will
+        be computed
+
+    Returns
+    -------
+    A namedtuple with the following attributes:
+
+    eigenvalues : (..., M) array
+        The eigenvalues, each repeated according to its multiplicity.
+        The eigenvalues are not necessarily ordered. The resulting
+        array will be of complex type, unless the imaginary part is
+        zero in which case it will be cast to a real type. When `a`
+        is real the resulting eigenvalues will be real (0 imaginary
+        part) or occur in conjugate pairs
+
+    eigenvectors : (..., M, M) array
+        The normalized (unit "length") eigenvectors, such that the
+        column ``eigenvectors[:,i]`` is the eigenvector corresponding to the
+        eigenvalue ``eigenvalues[i]``.
+
+    Raises
+    ------
+    LinAlgError
+        If the eigenvalue computation does not converge.
+
+    See Also
+    --------
+    eigvals : eigenvalues of a non-symmetric array.
+    eigh : eigenvalues and eigenvectors of a real symmetric or complex
+           Hermitian (conjugate symmetric) array.
+    eigvalsh : eigenvalues of a real symmetric or complex Hermitian
+               (conjugate symmetric) array.
+    scipy.linalg.eig : Similar function in SciPy that also solves the
+                       generalized eigenvalue problem.
+    scipy.linalg.schur : Best choice for unitary and other non-Hermitian
+                         normal matrices.
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    This is implemented using the ``_geev`` LAPACK routines which compute
+    the eigenvalues and eigenvectors of general square arrays.
+
+    The number `w` is an eigenvalue of `a` if there exists a vector `v` such
+    that ``a @ v = w * v``. Thus, the arrays `a`, `eigenvalues`, and
+    `eigenvectors` satisfy the equations ``a @ eigenvectors[:,i] =
+    eigenvalues[i] * eigenvectors[:,i]`` for :math:`i \\in \\{0,...,M-1\\}`.
+
+    The array `eigenvectors` may not be of maximum rank, that is, some of the
+    columns may be linearly dependent, although round-off error may obscure
+    that fact. If the eigenvalues are all different, then theoretically the
+    eigenvectors are linearly independent and `a` can be diagonalized by a
+    similarity transformation using `eigenvectors`, i.e, ``inv(eigenvectors) @
+    a @ eigenvectors`` is diagonal.
+
+    For non-Hermitian normal matrices the SciPy function `scipy.linalg.schur`
+    is preferred because the matrix `eigenvectors` is guaranteed to be
+    unitary, which is not the case when using `eig`. The Schur factorization
+    produces an upper triangular matrix rather than a diagonal matrix, but for
+    normal matrices only the diagonal of the upper triangular matrix is
+    needed, the rest is roundoff error.
+
+    Finally, it is emphasized that `eigenvectors` consists of the *right* (as
+    in right-hand side) eigenvectors of `a`. A vector `y` satisfying ``y.T @ a
+    = z * y.T`` for some number `z` is called a *left* eigenvector of `a`,
+    and, in general, the left and right eigenvectors of a matrix are not
+    necessarily the (perhaps conjugate) transposes of each other.
+
+    References
+    ----------
+    G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando, FL,
+    Academic Press, Inc., 1980, Various pp.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy import linalg as LA
+
+    (Almost) trivial example with real eigenvalues and eigenvectors.
+
+    >>> eigenvalues, eigenvectors = LA.eig(np.diag((1, 2, 3)))
+    >>> eigenvalues
+    array([1., 2., 3.])
+    >>> eigenvectors
+    array([[1., 0., 0.],
+           [0., 1., 0.],
+           [0., 0., 1.]])
+
+    Real matrix possessing complex eigenvalues and eigenvectors;
+    note that the eigenvalues are complex conjugates of each other.
+
+    >>> eigenvalues, eigenvectors = LA.eig(np.array([[1, -1], [1, 1]]))
+    >>> eigenvalues
+    array([1.+1.j, 1.-1.j])
+    >>> eigenvectors
+    array([[0.70710678+0.j        , 0.70710678-0.j        ],
+           [0.        -0.70710678j, 0.        +0.70710678j]])
+
+    Complex-valued matrix with real eigenvalues (but complex-valued
+    eigenvectors); note that ``a.conj().T == a``, i.e., `a` is Hermitian.
+
+    >>> a = np.array([[1, 1j], [-1j, 1]])
+    >>> eigenvalues, eigenvectors = LA.eig(a)
+    >>> eigenvalues
+    array([2.+0.j, 0.+0.j])
+    >>> eigenvectors
+    array([[ 0.        +0.70710678j,  0.70710678+0.j        ], # may vary
+           [ 0.70710678+0.j        , -0.        +0.70710678j]])
+
+    Be careful about round-off error!
+
+    >>> a = np.array([[1 + 1e-9, 0], [0, 1 - 1e-9]])
+    >>> # Theor. eigenvalues are 1 +/- 1e-9
+    >>> eigenvalues, eigenvectors = LA.eig(a)
+    >>> eigenvalues
+    array([1., 1.])
+    >>> eigenvectors
+    array([[1., 0.],
+           [0., 1.]])
+
+    """
+    a, wrap = _makearray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    _assert_finite(a)
+    t, result_t = _commonType(a)
+
+    signature = 'D->DD' if isComplexType(t) else 'd->DD'
+    with errstate(call=_raise_linalgerror_eigenvalues_nonconvergence,
+                  invalid='call', over='ignore', divide='ignore',
+                  under='ignore'):
+        w, vt = _umath_linalg.eig(a, signature=signature)
+
+    if not isComplexType(t) and all(w.imag == 0.0):
+        w = w.real
+        vt = vt.real
+        result_t = _realType(result_t)
+    else:
+        result_t = _complexType(result_t)
+
+    vt = vt.astype(result_t, copy=False)
+    return EigResult(w.astype(result_t, copy=False), wrap(vt))
+
+
+@array_function_dispatch(_eigvalsh_dispatcher)
+def eigh(a, UPLO='L'):
+    """
+    Return the eigenvalues and eigenvectors of a complex Hermitian
+    (conjugate symmetric) or a real symmetric matrix.
+
+    Returns two objects, a 1-D array containing the eigenvalues of `a`, and
+    a 2-D square array or matrix (depending on the input type) of the
+    corresponding eigenvectors (in columns).
+
+    Parameters
+    ----------
+    a : (..., M, M) array
+        Hermitian or real symmetric matrices whose eigenvalues and
+        eigenvectors are to be computed.
+    UPLO : {'L', 'U'}, optional
+        Specifies whether the calculation is done with the lower triangular
+        part of `a` ('L', default) or the upper triangular part ('U').
+        Irrespective of this value only the real parts of the diagonal will
+        be considered in the computation to preserve the notion of a Hermitian
+        matrix. It therefore follows that the imaginary part of the diagonal
+        will always be treated as zero.
+
+    Returns
+    -------
+    A namedtuple with the following attributes:
+
+    eigenvalues : (..., M) ndarray
+        The eigenvalues in ascending order, each repeated according to
+        its multiplicity.
+    eigenvectors : {(..., M, M) ndarray, (..., M, M) matrix}
+        The column ``eigenvectors[:, i]`` is the normalized eigenvector
+        corresponding to the eigenvalue ``eigenvalues[i]``.  Will return a
+        matrix object if `a` is a matrix object.
+
+    Raises
+    ------
+    LinAlgError
+        If the eigenvalue computation does not converge.
+
+    See Also
+    --------
+    eigvalsh : eigenvalues of real symmetric or complex Hermitian
+               (conjugate symmetric) arrays.
+    eig : eigenvalues and right eigenvectors for non-symmetric arrays.
+    eigvals : eigenvalues of non-symmetric arrays.
+    scipy.linalg.eigh : Similar function in SciPy (but also solves the
+                        generalized eigenvalue problem).
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    The eigenvalues/eigenvectors are computed using LAPACK routines ``_syevd``,
+    ``_heevd``.
+
+    The eigenvalues of real symmetric or complex Hermitian matrices are always
+    real. [1]_ The array `eigenvalues` of (column) eigenvectors is unitary and
+    `a`, `eigenvalues`, and `eigenvectors` satisfy the equations ``dot(a,
+    eigenvectors[:, i]) = eigenvalues[i] * eigenvectors[:, i]``.
+
+    References
+    ----------
+    .. [1] G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando,
+           FL, Academic Press, Inc., 1980, pg. 222.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy import linalg as LA
+    >>> a = np.array([[1, -2j], [2j, 5]])
+    >>> a
+    array([[ 1.+0.j, -0.-2.j],
+           [ 0.+2.j,  5.+0.j]])
+    >>> eigenvalues, eigenvectors = LA.eigh(a)
+    >>> eigenvalues
+    array([0.17157288, 5.82842712])
+    >>> eigenvectors
+    array([[-0.92387953+0.j        , -0.38268343+0.j        ], # may vary
+           [ 0.        +0.38268343j,  0.        -0.92387953j]])
+
+    >>> (np.dot(a, eigenvectors[:, 0]) -
+    ... eigenvalues[0] * eigenvectors[:, 0])  # verify 1st eigenval/vec pair
+    array([5.55111512e-17+0.0000000e+00j, 0.00000000e+00+1.2490009e-16j])
+    >>> (np.dot(a, eigenvectors[:, 1]) -
+    ... eigenvalues[1] * eigenvectors[:, 1])  # verify 2nd eigenval/vec pair
+    array([0.+0.j, 0.+0.j])
+
+    >>> A = np.matrix(a) # what happens if input is a matrix object
+    >>> A
+    matrix([[ 1.+0.j, -0.-2.j],
+            [ 0.+2.j,  5.+0.j]])
+    >>> eigenvalues, eigenvectors = LA.eigh(A)
+    >>> eigenvalues
+    array([0.17157288, 5.82842712])
+    >>> eigenvectors
+    matrix([[-0.92387953+0.j        , -0.38268343+0.j        ], # may vary
+            [ 0.        +0.38268343j,  0.        -0.92387953j]])
+
+    >>> # demonstrate the treatment of the imaginary part of the diagonal
+    >>> a = np.array([[5+2j, 9-2j], [0+2j, 2-1j]])
+    >>> a
+    array([[5.+2.j, 9.-2.j],
+           [0.+2.j, 2.-1.j]])
+    >>> # with UPLO='L' this is numerically equivalent to using LA.eig() with:
+    >>> b = np.array([[5.+0.j, 0.-2.j], [0.+2.j, 2.-0.j]])
+    >>> b
+    array([[5.+0.j, 0.-2.j],
+           [0.+2.j, 2.+0.j]])
+    >>> wa, va = LA.eigh(a)
+    >>> wb, vb = LA.eig(b)
+    >>> wa
+    array([1., 6.])
+    >>> wb
+    array([6.+0.j, 1.+0.j])
+    >>> va
+    array([[-0.4472136 +0.j        , -0.89442719+0.j        ], # may vary
+           [ 0.        +0.89442719j,  0.        -0.4472136j ]])
+    >>> vb
+    array([[ 0.89442719+0.j       , -0.        +0.4472136j],
+           [-0.        +0.4472136j,  0.89442719+0.j       ]])
+
+    """
+    UPLO = UPLO.upper()
+    if UPLO not in ('L', 'U'):
+        raise ValueError("UPLO argument must be 'L' or 'U'")
+
+    a, wrap = _makearray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    t, result_t = _commonType(a)
+
+    if UPLO == 'L':
+        gufunc = _umath_linalg.eigh_lo
+    else:
+        gufunc = _umath_linalg.eigh_up
+
+    signature = 'D->dD' if isComplexType(t) else 'd->dd'
+    with errstate(call=_raise_linalgerror_eigenvalues_nonconvergence,
+                  invalid='call', over='ignore', divide='ignore',
+                  under='ignore'):
+        w, vt = gufunc(a, signature=signature)
+    w = w.astype(_realType(result_t), copy=False)
+    vt = vt.astype(result_t, copy=False)
+    return EighResult(w, wrap(vt))
+
+
+# Singular value decomposition
+
+def _svd_dispatcher(a, full_matrices=None, compute_uv=None, hermitian=None):
+    return (a,)
+
+
+@array_function_dispatch(_svd_dispatcher)
+def svd(a, full_matrices=True, compute_uv=True, hermitian=False):
+    """
+    Singular Value Decomposition.
+
+    When `a` is a 2D array, and ``full_matrices=False``, then it is
+    factorized as ``u @ np.diag(s) @ vh = (u * s) @ vh``, where
+    `u` and the Hermitian transpose of `vh` are 2D arrays with
+    orthonormal columns and `s` is a 1D array of `a`'s singular
+    values. When `a` is higher-dimensional, SVD is applied in
+    stacked mode as explained below.
+
+    Parameters
+    ----------
+    a : (..., M, N) array_like
+        A real or complex array with ``a.ndim >= 2``.
+    full_matrices : bool, optional
+        If True (default), `u` and `vh` have the shapes ``(..., M, M)`` and
+        ``(..., N, N)``, respectively.  Otherwise, the shapes are
+        ``(..., M, K)`` and ``(..., K, N)``, respectively, where
+        ``K = min(M, N)``.
+    compute_uv : bool, optional
+        Whether or not to compute `u` and `vh` in addition to `s`.  True
+        by default.
+    hermitian : bool, optional
+        If True, `a` is assumed to be Hermitian (symmetric if real-valued),
+        enabling a more efficient method for finding singular values.
+        Defaults to False.
+
+    Returns
+    -------
+    When `compute_uv` is True, the result is a namedtuple with the following
+    attribute names:
+
+    U : { (..., M, M), (..., M, K) } array
+        Unitary array(s). The first ``a.ndim - 2`` dimensions have the same
+        size as those of the input `a`. The size of the last two dimensions
+        depends on the value of `full_matrices`. Only returned when
+        `compute_uv` is True.
+    S : (..., K) array
+        Vector(s) with the singular values, within each vector sorted in
+        descending order. The first ``a.ndim - 2`` dimensions have the same
+        size as those of the input `a`.
+    Vh : { (..., N, N), (..., K, N) } array
+        Unitary array(s). The first ``a.ndim - 2`` dimensions have the same
+        size as those of the input `a`. The size of the last two dimensions
+        depends on the value of `full_matrices`. Only returned when
+        `compute_uv` is True.
+
+    Raises
+    ------
+    LinAlgError
+        If SVD computation does not converge.
+
+    See Also
+    --------
+    scipy.linalg.svd : Similar function in SciPy.
+    scipy.linalg.svdvals : Compute singular values of a matrix.
+
+    Notes
+    -----
+    The decomposition is performed using LAPACK routine ``_gesdd``.
+
+    SVD is usually described for the factorization of a 2D matrix :math:`A`.
+    The higher-dimensional case will be discussed below. In the 2D case, SVD is
+    written as :math:`A = U S V^H`, where :math:`A = a`, :math:`U= u`,
+    :math:`S= \\mathtt{np.diag}(s)` and :math:`V^H = vh`. The 1D array `s`
+    contains the singular values of `a` and `u` and `vh` are unitary. The rows
+    of `vh` are the eigenvectors of :math:`A^H A` and the columns of `u` are
+    the eigenvectors of :math:`A A^H`. In both cases the corresponding
+    (possibly non-zero) eigenvalues are given by ``s**2``.
+
+    If `a` has more than two dimensions, then broadcasting rules apply, as
+    explained in :ref:`routines.linalg-broadcasting`. This means that SVD is
+    working in "stacked" mode: it iterates over all indices of the first
+    ``a.ndim - 2`` dimensions and for each combination SVD is applied to the
+    last two indices. The matrix `a` can be reconstructed from the
+    decomposition with either ``(u * s[..., None, :]) @ vh`` or
+    ``u @ (s[..., None] * vh)``. (The ``@`` operator can be replaced by the
+    function ``np.matmul`` for python versions below 3.5.)
+
+    If `a` is a ``matrix`` object (as opposed to an ``ndarray``), then so are
+    all the return values.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> rng = np.random.default_rng()
+    >>> a = rng.normal(size=(9, 6)) + 1j*rng.normal(size=(9, 6))
+    >>> b = rng.normal(size=(2, 7, 8, 3)) + 1j*rng.normal(size=(2, 7, 8, 3))
+
+
+    Reconstruction based on full SVD, 2D case:
+
+    >>> U, S, Vh = np.linalg.svd(a, full_matrices=True)
+    >>> U.shape, S.shape, Vh.shape
+    ((9, 9), (6,), (6, 6))
+    >>> np.allclose(a, np.dot(U[:, :6] * S, Vh))
+    True
+    >>> smat = np.zeros((9, 6), dtype=complex)
+    >>> smat[:6, :6] = np.diag(S)
+    >>> np.allclose(a, np.dot(U, np.dot(smat, Vh)))
+    True
+
+    Reconstruction based on reduced SVD, 2D case:
+
+    >>> U, S, Vh = np.linalg.svd(a, full_matrices=False)
+    >>> U.shape, S.shape, Vh.shape
+    ((9, 6), (6,), (6, 6))
+    >>> np.allclose(a, np.dot(U * S, Vh))
+    True
+    >>> smat = np.diag(S)
+    >>> np.allclose(a, np.dot(U, np.dot(smat, Vh)))
+    True
+
+    Reconstruction based on full SVD, 4D case:
+
+    >>> U, S, Vh = np.linalg.svd(b, full_matrices=True)
+    >>> U.shape, S.shape, Vh.shape
+    ((2, 7, 8, 8), (2, 7, 3), (2, 7, 3, 3))
+    >>> np.allclose(b, np.matmul(U[..., :3] * S[..., None, :], Vh))
+    True
+    >>> np.allclose(b, np.matmul(U[..., :3], S[..., None] * Vh))
+    True
+
+    Reconstruction based on reduced SVD, 4D case:
+
+    >>> U, S, Vh = np.linalg.svd(b, full_matrices=False)
+    >>> U.shape, S.shape, Vh.shape
+    ((2, 7, 8, 3), (2, 7, 3), (2, 7, 3, 3))
+    >>> np.allclose(b, np.matmul(U * S[..., None, :], Vh))
+    True
+    >>> np.allclose(b, np.matmul(U, S[..., None] * Vh))
+    True
+
+    """
+    import numpy as _nx
+    a, wrap = _makearray(a)
+
+    if hermitian:
+        # note: lapack svd returns eigenvalues with s ** 2 sorted descending,
+        # but eig returns s sorted ascending, so we re-order the eigenvalues
+        # and related arrays to have the correct order
+        if compute_uv:
+            s, u = eigh(a)
+            sgn = sign(s)
+            s = abs(s)
+            sidx = argsort(s)[..., ::-1]
+            sgn = _nx.take_along_axis(sgn, sidx, axis=-1)
+            s = _nx.take_along_axis(s, sidx, axis=-1)
+            u = _nx.take_along_axis(u, sidx[..., None, :], axis=-1)
+            # singular values are unsigned, move the sign into v
+            vt = transpose(u * sgn[..., None, :]).conjugate()
+            return SVDResult(wrap(u), s, wrap(vt))
+        else:
+            s = eigvalsh(a)
+            s = abs(s)
+            return sort(s)[..., ::-1]
+
+    _assert_stacked_2d(a)
+    t, result_t = _commonType(a)
+
+    m, n = a.shape[-2:]
+    if compute_uv:
+        if full_matrices:
+            gufunc = _umath_linalg.svd_f
+        else:
+            gufunc = _umath_linalg.svd_s
+
+        signature = 'D->DdD' if isComplexType(t) else 'd->ddd'
+        with errstate(call=_raise_linalgerror_svd_nonconvergence,
+                      invalid='call', over='ignore', divide='ignore',
+                      under='ignore'):
+            u, s, vh = gufunc(a, signature=signature)
+        u = u.astype(result_t, copy=False)
+        s = s.astype(_realType(result_t), copy=False)
+        vh = vh.astype(result_t, copy=False)
+        return SVDResult(wrap(u), s, wrap(vh))
+    else:
+        signature = 'D->d' if isComplexType(t) else 'd->d'
+        with errstate(call=_raise_linalgerror_svd_nonconvergence,
+                      invalid='call', over='ignore', divide='ignore',
+                      under='ignore'):
+            s = _umath_linalg.svd(a, signature=signature)
+        s = s.astype(_realType(result_t), copy=False)
+        return s
+
+
+def _svdvals_dispatcher(x):
+    return (x,)
+
+
+@array_function_dispatch(_svdvals_dispatcher)
+def svdvals(x, /):
+    """
+    Returns the singular values of a matrix (or a stack of matrices) ``x``.
+    When x is a stack of matrices, the function will compute the singular
+    values for each matrix in the stack.
+
+    This function is Array API compatible.
+
+    Calling ``np.svdvals(x)`` to get singular values is the same as
+    ``np.svd(x, compute_uv=False, hermitian=False)``.
+
+    Parameters
+    ----------
+    x : (..., M, N) array_like
+        Input array having shape (..., M, N) and whose last two
+        dimensions form matrices on which to perform singular value
+        decomposition. Should have a floating-point data type.
+
+    Returns
+    -------
+    out : ndarray
+        An array with shape (..., K) that contains the vector(s)
+        of singular values of length K, where K = min(M, N).
+
+    See Also
+    --------
+    scipy.linalg.svdvals : Compute singular values of a matrix.
+
+    Examples
+    --------
+
+    >>> np.linalg.svdvals([[1, 2, 3, 4, 5],
+    ...                    [1, 4, 9, 16, 25],
+    ...                    [1, 8, 27, 64, 125]])
+    array([146.68862757,   5.57510612,   0.60393245])
+
+    Determine the rank of a matrix using singular values:
+
+    >>> s = np.linalg.svdvals([[1, 2, 3],
+    ...                        [2, 4, 6],
+    ...                        [-1, 1, -1]]); s
+    array([8.38434191e+00, 1.64402274e+00, 2.31534378e-16])
+    >>> np.count_nonzero(s > 1e-10)  # Matrix of rank 2
+    2
+
+    """
+    return svd(x, compute_uv=False, hermitian=False)
+
+
+def _cond_dispatcher(x, p=None):
+    return (x,)
+
+
+@array_function_dispatch(_cond_dispatcher)
+def cond(x, p=None):
+    """
+    Compute the condition number of a matrix.
+
+    This function is capable of returning the condition number using
+    one of seven different norms, depending on the value of `p` (see
+    Parameters below).
+
+    Parameters
+    ----------
+    x : (..., M, N) array_like
+        The matrix whose condition number is sought.
+    p : {None, 1, -1, 2, -2, inf, -inf, 'fro'}, optional
+        Order of the norm used in the condition number computation:
+
+        =====  ============================
+        p      norm for matrices
+        =====  ============================
+        None   2-norm, computed directly using the ``SVD``
+        'fro'  Frobenius norm
+        inf    max(sum(abs(x), axis=1))
+        -inf   min(sum(abs(x), axis=1))
+        1      max(sum(abs(x), axis=0))
+        -1     min(sum(abs(x), axis=0))
+        2      2-norm (largest sing. value)
+        -2     smallest singular value
+        =====  ============================
+
+        inf means the `numpy.inf` object, and the Frobenius norm is
+        the root-of-sum-of-squares norm.
+
+    Returns
+    -------
+    c : {float, inf}
+        The condition number of the matrix. May be infinite.
+
+    See Also
+    --------
+    numpy.linalg.norm
+
+    Notes
+    -----
+    The condition number of `x` is defined as the norm of `x` times the
+    norm of the inverse of `x` [1]_; the norm can be the usual L2-norm
+    (root-of-sum-of-squares) or one of a number of other matrix norms.
+
+    References
+    ----------
+    .. [1] G. Strang, *Linear Algebra and Its Applications*, Orlando, FL,
+           Academic Press, Inc., 1980, pg. 285.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy import linalg as LA
+    >>> a = np.array([[1, 0, -1], [0, 1, 0], [1, 0, 1]])
+    >>> a
+    array([[ 1,  0, -1],
+           [ 0,  1,  0],
+           [ 1,  0,  1]])
+    >>> LA.cond(a)
+    1.4142135623730951
+    >>> LA.cond(a, 'fro')
+    3.1622776601683795
+    >>> LA.cond(a, np.inf)
+    2.0
+    >>> LA.cond(a, -np.inf)
+    1.0
+    >>> LA.cond(a, 1)
+    2.0
+    >>> LA.cond(a, -1)
+    1.0
+    >>> LA.cond(a, 2)
+    1.4142135623730951
+    >>> LA.cond(a, -2)
+    0.70710678118654746 # may vary
+    >>> (min(LA.svd(a, compute_uv=False)) *
+    ... min(LA.svd(LA.inv(a), compute_uv=False)))
+    0.70710678118654746 # may vary
+
+    """
+    x = asarray(x)  # in case we have a matrix
+    if _is_empty_2d(x):
+        raise LinAlgError("cond is not defined on empty arrays")
+    if p is None or p == 2 or p == -2:
+        s = svd(x, compute_uv=False)
+        with errstate(all='ignore'):
+            if p == -2:
+                r = s[..., -1] / s[..., 0]
+            else:
+                r = s[..., 0] / s[..., -1]
+    else:
+        # Call inv(x) ignoring errors. The result array will
+        # contain nans in the entries where inversion failed.
+        _assert_stacked_2d(x)
+        _assert_stacked_square(x)
+        t, result_t = _commonType(x)
+        signature = 'D->D' if isComplexType(t) else 'd->d'
+        with errstate(all='ignore'):
+            invx = _umath_linalg.inv(x, signature=signature)
+            r = norm(x, p, axis=(-2, -1)) * norm(invx, p, axis=(-2, -1))
+        r = r.astype(result_t, copy=False)
+
+    # Convert nans to infs unless the original array had nan entries
+    r = asarray(r)
+    nan_mask = isnan(r)
+    if nan_mask.any():
+        nan_mask &= ~isnan(x).any(axis=(-2, -1))
+        if r.ndim > 0:
+            r[nan_mask] = inf
+        elif nan_mask:
+            r[()] = inf
+
+    # Convention is to return scalars instead of 0d arrays
+    if r.ndim == 0:
+        r = r[()]
+
+    return r
+
+
+def _matrix_rank_dispatcher(A, tol=None, hermitian=None, *, rtol=None):
+    return (A,)
+
+
+@array_function_dispatch(_matrix_rank_dispatcher)
+def matrix_rank(A, tol=None, hermitian=False, *, rtol=None):
+    """
+    Return matrix rank of array using SVD method
+
+    Rank of the array is the number of singular values of the array that are
+    greater than `tol`.
+
+    Parameters
+    ----------
+    A : {(M,), (..., M, N)} array_like
+        Input vector or stack of matrices.
+    tol : (...) array_like, float, optional
+        Threshold below which SVD values are considered zero. If `tol` is
+        None, and ``S`` is an array with singular values for `M`, and
+        ``eps`` is the epsilon value for datatype of ``S``, then `tol` is
+        set to ``S.max() * max(M, N) * eps``.
+    hermitian : bool, optional
+        If True, `A` is assumed to be Hermitian (symmetric if real-valued),
+        enabling a more efficient method for finding singular values.
+        Defaults to False.
+    rtol : (...) array_like, float, optional
+        Parameter for the relative tolerance component. Only ``tol`` or
+        ``rtol`` can be set at a time. Defaults to ``max(M, N) * eps``.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    rank : (...) array_like
+        Rank of A.
+
+    Notes
+    -----
+    The default threshold to detect rank deficiency is a test on the magnitude
+    of the singular values of `A`.  By default, we identify singular values
+    less than ``S.max() * max(M, N) * eps`` as indicating rank deficiency
+    (with the symbols defined above). This is the algorithm MATLAB uses [1].
+    It also appears in *Numerical recipes* in the discussion of SVD solutions
+    for linear least squares [2].
+
+    This default threshold is designed to detect rank deficiency accounting
+    for the numerical errors of the SVD computation. Imagine that there
+    is a column in `A` that is an exact (in floating point) linear combination
+    of other columns in `A`. Computing the SVD on `A` will not produce
+    a singular value exactly equal to 0 in general: any difference of
+    the smallest SVD value from 0 will be caused by numerical imprecision
+    in the calculation of the SVD. Our threshold for small SVD values takes
+    this numerical imprecision into account, and the default threshold will
+    detect such numerical rank deficiency. The threshold may declare a matrix
+    `A` rank deficient even if the linear combination of some columns of `A`
+    is not exactly equal to another column of `A` but only numerically very
+    close to another column of `A`.
+
+    We chose our default threshold because it is in wide use. Other thresholds
+    are possible.  For example, elsewhere in the 2007 edition of *Numerical
+    recipes* there is an alternative threshold of ``S.max() *
+    np.finfo(A.dtype).eps / 2. * np.sqrt(m + n + 1.)``. The authors describe
+    this threshold as being based on "expected roundoff error" (p 71).
+
+    The thresholds above deal with floating point roundoff error in the
+    calculation of the SVD.  However, you may have more information about
+    the sources of error in `A` that would make you consider other tolerance
+    values to detect *effective* rank deficiency. The most useful measure
+    of the tolerance depends on the operations you intend to use on your
+    matrix. For example, if your data come from uncertain measurements with
+    uncertainties greater than floating point epsilon, choosing a tolerance
+    near that uncertainty may be preferable. The tolerance may be absolute
+    if the uncertainties are absolute rather than relative.
+
+    References
+    ----------
+    .. [1] MATLAB reference documentation, "Rank"
+           https://www.mathworks.com/help/techdoc/ref/rank.html
+    .. [2] W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery,
+           "Numerical Recipes (3rd edition)", Cambridge University Press, 2007,
+           page 795.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from numpy.linalg import matrix_rank
+    >>> matrix_rank(np.eye(4)) # Full rank matrix
+    4
+    >>> I=np.eye(4); I[-1,-1] = 0. # rank deficient matrix
+    >>> matrix_rank(I)
+    3
+    >>> matrix_rank(np.ones((4,))) # 1 dimension - rank 1 unless all 0
+    1
+    >>> matrix_rank(np.zeros((4,)))
+    0
+    """
+    if rtol is not None and tol is not None:
+        raise ValueError("`tol` and `rtol` can't be both set.")
+
+    A = asarray(A)
+    if A.ndim < 2:
+        return int(not all(A == 0))
+    S = svd(A, compute_uv=False, hermitian=hermitian)
+
+    if tol is None:
+        if rtol is None:
+            rtol = max(A.shape[-2:]) * finfo(S.dtype).eps
+        else:
+            rtol = asarray(rtol)[..., newaxis]
+        tol = S.max(axis=-1, keepdims=True) * rtol
+    else:
+        tol = asarray(tol)[..., newaxis]
+
+    return count_nonzero(S > tol, axis=-1)
+
+
+# Generalized inverse
+
+def _pinv_dispatcher(a, rcond=None, hermitian=None, *, rtol=None):
+    return (a,)
+
+
+@array_function_dispatch(_pinv_dispatcher)
+def pinv(a, rcond=None, hermitian=False, *, rtol=_NoValue):
+    """
+    Compute the (Moore-Penrose) pseudo-inverse of a matrix.
+
+    Calculate the generalized inverse of a matrix using its
+    singular-value decomposition (SVD) and including all
+    *large* singular values.
+
+    Parameters
+    ----------
+    a : (..., M, N) array_like
+        Matrix or stack of matrices to be pseudo-inverted.
+    rcond : (...) array_like of float, optional
+        Cutoff for small singular values.
+        Singular values less than or equal to
+        ``rcond * largest_singular_value`` are set to zero.
+        Broadcasts against the stack of matrices. Default: ``1e-15``.
+    hermitian : bool, optional
+        If True, `a` is assumed to be Hermitian (symmetric if real-valued),
+        enabling a more efficient method for finding singular values.
+        Defaults to False.
+    rtol : (...) array_like of float, optional
+        Same as `rcond`, but it's an Array API compatible parameter name.
+        Only `rcond` or `rtol` can be set at a time. If none of them are
+        provided then NumPy's ``1e-15`` default is used. If ``rtol=None``
+        is passed then the API standard default is used.
+
+        .. versionadded:: 2.0.0
+
+    Returns
+    -------
+    B : (..., N, M) ndarray
+        The pseudo-inverse of `a`. If `a` is a `matrix` instance, then so
+        is `B`.
+
+    Raises
+    ------
+    LinAlgError
+        If the SVD computation does not converge.
+
+    See Also
+    --------
+    scipy.linalg.pinv : Similar function in SciPy.
+    scipy.linalg.pinvh : Compute the (Moore-Penrose) pseudo-inverse of a
+                         Hermitian matrix.
+
+    Notes
+    -----
+    The pseudo-inverse of a matrix A, denoted :math:`A^+`, is
+    defined as: "the matrix that 'solves' [the least-squares problem]
+    :math:`Ax = b`," i.e., if :math:`\\bar{x}` is said solution, then
+    :math:`A^+` is that matrix such that :math:`\\bar{x} = A^+b`.
+
+    It can be shown that if :math:`Q_1 \\Sigma Q_2^T = A` is the singular
+    value decomposition of A, then
+    :math:`A^+ = Q_2 \\Sigma^+ Q_1^T`, where :math:`Q_{1,2}` are
+    orthogonal matrices, :math:`\\Sigma` is a diagonal matrix consisting
+    of A's so-called singular values, (followed, typically, by
+    zeros), and then :math:`\\Sigma^+` is simply the diagonal matrix
+    consisting of the reciprocals of A's singular values
+    (again, followed by zeros). [1]_
+
+    References
+    ----------
+    .. [1] G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando,
+           FL, Academic Press, Inc., 1980, pp. 139-142.
+
+    Examples
+    --------
+    The following example checks that ``a * a+ * a == a`` and
+    ``a+ * a * a+ == a+``:
+
+    >>> import numpy as np
+    >>> rng = np.random.default_rng()
+    >>> a = rng.normal(size=(9, 6))
+    >>> B = np.linalg.pinv(a)
+    >>> np.allclose(a, np.dot(a, np.dot(B, a)))
+    True
+    >>> np.allclose(B, np.dot(B, np.dot(a, B)))
+    True
+
+    """
+    a, wrap = _makearray(a)
+    if rcond is None:
+        if rtol is _NoValue:
+            rcond = 1e-15
+        elif rtol is None:
+            rcond = max(a.shape[-2:]) * finfo(a.dtype).eps
+        else:
+            rcond = rtol
+    elif rtol is not _NoValue:
+        raise ValueError("`rtol` and `rcond` can't be both set.")
+    else:
+        # NOTE: Deprecate `rcond` in a few versions.
+        pass
+
+    rcond = asarray(rcond)
+    if _is_empty_2d(a):
+        m, n = a.shape[-2:]
+        res = empty(a.shape[:-2] + (n, m), dtype=a.dtype)
+        return wrap(res)
+    a = a.conjugate()
+    u, s, vt = svd(a, full_matrices=False, hermitian=hermitian)
+
+    # discard small singular values
+    cutoff = rcond[..., newaxis] * amax(s, axis=-1, keepdims=True)
+    large = s > cutoff
+    s = divide(1, s, where=large, out=s)
+    s[~large] = 0
+
+    res = matmul(transpose(vt), multiply(s[..., newaxis], transpose(u)))
+    return wrap(res)
+
+
+# Determinant
+
+
+@array_function_dispatch(_unary_dispatcher)
+def slogdet(a):
+    """
+    Compute the sign and (natural) logarithm of the determinant of an array.
+
+    If an array has a very small or very large determinant, then a call to
+    `det` may overflow or underflow. This routine is more robust against such
+    issues, because it computes the logarithm of the determinant rather than
+    the determinant itself.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        Input array, has to be a square 2-D array.
+
+    Returns
+    -------
+    A namedtuple with the following attributes:
+
+    sign : (...) array_like
+        A number representing the sign of the determinant. For a real matrix,
+        this is 1, 0, or -1. For a complex matrix, this is a complex number
+        with absolute value 1 (i.e., it is on the unit circle), or else 0.
+    logabsdet : (...) array_like
+        The natural log of the absolute value of the determinant.
+
+    If the determinant is zero, then `sign` will be 0 and `logabsdet`
+    will be -inf. In all cases, the determinant is equal to
+    ``sign * np.exp(logabsdet)``.
+
+    See Also
+    --------
+    det
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    The determinant is computed via LU factorization using the LAPACK
+    routine ``z/dgetrf``.
+
+    Examples
+    --------
+    The determinant of a 2-D array ``[[a, b], [c, d]]`` is ``ad - bc``:
+
+    >>> import numpy as np
+    >>> a = np.array([[1, 2], [3, 4]])
+    >>> (sign, logabsdet) = np.linalg.slogdet(a)
+    >>> (sign, logabsdet)
+    (-1, 0.69314718055994529) # may vary
+    >>> sign * np.exp(logabsdet)
+    -2.0
+
+    Computing log-determinants for a stack of matrices:
+
+    >>> a = np.array([ [[1, 2], [3, 4]], [[1, 2], [2, 1]], [[1, 3], [3, 1]] ])
+    >>> a.shape
+    (3, 2, 2)
+    >>> sign, logabsdet = np.linalg.slogdet(a)
+    >>> (sign, logabsdet)
+    (array([-1., -1., -1.]), array([ 0.69314718,  1.09861229,  2.07944154]))
+    >>> sign * np.exp(logabsdet)
+    array([-2., -3., -8.])
+
+    This routine succeeds where ordinary `det` does not:
+
+    >>> np.linalg.det(np.eye(500) * 0.1)
+    0.0
+    >>> np.linalg.slogdet(np.eye(500) * 0.1)
+    (1, -1151.2925464970228)
+
+    """
+    a = asarray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    t, result_t = _commonType(a)
+    real_t = _realType(result_t)
+    signature = 'D->Dd' if isComplexType(t) else 'd->dd'
+    sign, logdet = _umath_linalg.slogdet(a, signature=signature)
+    sign = sign.astype(result_t, copy=False)
+    logdet = logdet.astype(real_t, copy=False)
+    return SlogdetResult(sign, logdet)
+
+
+@array_function_dispatch(_unary_dispatcher)
+def det(a):
+    """
+    Compute the determinant of an array.
+
+    Parameters
+    ----------
+    a : (..., M, M) array_like
+        Input array to compute determinants for.
+
+    Returns
+    -------
+    det : (...) array_like
+        Determinant of `a`.
+
+    See Also
+    --------
+    slogdet : Another way to represent the determinant, more suitable
+      for large matrices where underflow/overflow may occur.
+    scipy.linalg.det : Similar function in SciPy.
+
+    Notes
+    -----
+    Broadcasting rules apply, see the `numpy.linalg` documentation for
+    details.
+
+    The determinant is computed via LU factorization using the LAPACK
+    routine ``z/dgetrf``.
+
+    Examples
+    --------
+    The determinant of a 2-D array [[a, b], [c, d]] is ad - bc:
+
+    >>> import numpy as np
+    >>> a = np.array([[1, 2], [3, 4]])
+    >>> np.linalg.det(a)
+    -2.0 # may vary
+
+    Computing determinants for a stack of matrices:
+
+    >>> a = np.array([ [[1, 2], [3, 4]], [[1, 2], [2, 1]], [[1, 3], [3, 1]] ])
+    >>> a.shape
+    (3, 2, 2)
+    >>> np.linalg.det(a)
+    array([-2., -3., -8.])
+
+    """
+    a = asarray(a)
+    _assert_stacked_2d(a)
+    _assert_stacked_square(a)
+    t, result_t = _commonType(a)
+    signature = 'D->D' if isComplexType(t) else 'd->d'
+    r = _umath_linalg.det(a, signature=signature)
+    r = r.astype(result_t, copy=False)
+    return r
+
+
+# Linear Least Squares
+
+def _lstsq_dispatcher(a, b, rcond=None):
+    return (a, b)
+
+
+@array_function_dispatch(_lstsq_dispatcher)
+def lstsq(a, b, rcond=None):
+    r"""
+    Return the least-squares solution to a linear matrix equation.
+
+    Computes the vector `x` that approximately solves the equation
+    ``a @ x = b``. The equation may be under-, well-, or over-determined
+    (i.e., the number of linearly independent rows of `a` can be less than,
+    equal to, or greater than its number of linearly independent columns).
+    If `a` is square and of full rank, then `x` (but for round-off error)
+    is the "exact" solution of the equation. Else, `x` minimizes the
+    Euclidean 2-norm :math:`||b - ax||`. If there are multiple minimizing
+    solutions, the one with the smallest 2-norm :math:`||x||` is returned.
+
+    Parameters
+    ----------
+    a : (M, N) array_like
+        "Coefficient" matrix.
+    b : {(M,), (M, K)} array_like
+        Ordinate or "dependent variable" values. If `b` is two-dimensional,
+        the least-squares solution is calculated for each of the `K` columns
+        of `b`.
+    rcond : float, optional
+        Cut-off ratio for small singular values of `a`.
+        For the purposes of rank determination, singular values are treated
+        as zero if they are smaller than `rcond` times the largest singular
+        value of `a`.
+        The default uses the machine precision times ``max(M, N)``.  Passing
+        ``-1`` will use machine precision.
+
+        .. versionchanged:: 2.0
+            Previously, the default was ``-1``, but a warning was given that
+            this would change.
+
+    Returns
+    -------
+    x : {(N,), (N, K)} ndarray
+        Least-squares solution. If `b` is two-dimensional,
+        the solutions are in the `K` columns of `x`.
+    residuals : {(1,), (K,), (0,)} ndarray
+        Sums of squared residuals: Squared Euclidean 2-norm for each column in
+        ``b - a @ x``.
+        If the rank of `a` is < N or M <= N, this is an empty array.
+        If `b` is 1-dimensional, this is a (1,) shape array.
+        Otherwise the shape is (K,).
+    rank : int
+        Rank of matrix `a`.
+    s : (min(M, N),) ndarray
+        Singular values of `a`.
+
+    Raises
+    ------
+    LinAlgError
+        If computation does not converge.
+
+    See Also
+    --------
+    scipy.linalg.lstsq : Similar function in SciPy.
+
+    Notes
+    -----
+    If `b` is a matrix, then all array results are returned as matrices.
+
+    Examples
+    --------
+    Fit a line, ``y = mx + c``, through some noisy data-points:
+
+    >>> import numpy as np
+    >>> x = np.array([0, 1, 2, 3])
+    >>> y = np.array([-1, 0.2, 0.9, 2.1])
+
+    By examining the coefficients, we see that the line should have a
+    gradient of roughly 1 and cut the y-axis at, more or less, -1.
+
+    We can rewrite the line equation as ``y = Ap``, where ``A = [[x 1]]``
+    and ``p = [[m], [c]]``.  Now use `lstsq` to solve for `p`:
+
+    >>> A = np.vstack([x, np.ones(len(x))]).T
+    >>> A
+    array([[ 0.,  1.],
+           [ 1.,  1.],
+           [ 2.,  1.],
+           [ 3.,  1.]])
+
+    >>> m, c = np.linalg.lstsq(A, y)[0]
+    >>> m, c
+    (1.0 -0.95) # may vary
+
+    Plot the data along with the fitted line:
+
+    >>> import matplotlib.pyplot as plt
+    >>> _ = plt.plot(x, y, 'o', label='Original data', markersize=10)
+    >>> _ = plt.plot(x, m*x + c, 'r', label='Fitted line')
+    >>> _ = plt.legend()
+    >>> plt.show()
+
+    """
+    a, _ = _makearray(a)
+    b, wrap = _makearray(b)
+    is_1d = b.ndim == 1
+    if is_1d:
+        b = b[:, newaxis]
+    _assert_2d(a, b)
+    m, n = a.shape[-2:]
+    m2, n_rhs = b.shape[-2:]
+    if m != m2:
+        raise LinAlgError('Incompatible dimensions')
+
+    t, result_t = _commonType(a, b)
+    result_real_t = _realType(result_t)
+
+    if rcond is None:
+        rcond = finfo(t).eps * max(n, m)
+
+    signature = 'DDd->Ddid' if isComplexType(t) else 'ddd->ddid'
+    if n_rhs == 0:
+        # lapack can't handle n_rhs = 0 - so allocate
+        # the array one larger in that axis
+        b = zeros(b.shape[:-2] + (m, n_rhs + 1), dtype=b.dtype)
+
+    with errstate(call=_raise_linalgerror_lstsq, invalid='call',
+                  over='ignore', divide='ignore', under='ignore'):
+        x, resids, rank, s = _umath_linalg.lstsq(a, b, rcond,
+                                                 signature=signature)
+    if m == 0:
+        x[...] = 0
+    if n_rhs == 0:
+        # remove the item we added
+        x = x[..., :n_rhs]
+        resids = resids[..., :n_rhs]
+
+    # remove the axis we added
+    if is_1d:
+        x = x.squeeze(axis=-1)
+        # we probably should squeeze resids too, but we can't
+        # without breaking compatibility.
+
+    # as documented
+    if rank != n or m <= n:
+        resids = array([], result_real_t)
+
+    # coerce output arrays
+    s = s.astype(result_real_t, copy=False)
+    resids = resids.astype(result_real_t, copy=False)
+    # Copying lets the memory in r_parts be freed
+    x = x.astype(result_t, copy=True)
+    return wrap(x), wrap(resids), rank, s
+
+
+def _multi_svd_norm(x, row_axis, col_axis, op):
+    """Compute a function of the singular values of the 2-D matrices in `x`.
+
+    This is a private utility function used by `numpy.linalg.norm()`.
+
+    Parameters
+    ----------
+    x : ndarray
+    row_axis, col_axis : int
+        The axes of `x` that hold the 2-D matrices.
+    op : callable
+        This should be either numpy.amin or `numpy.amax` or `numpy.sum`.
+
+    Returns
+    -------
+    result : float or ndarray
+        If `x` is 2-D, the return values is a float.
+        Otherwise, it is an array with ``x.ndim - 2`` dimensions.
+        The return values are either the minimum or maximum or sum of the
+        singular values of the matrices, depending on whether `op`
+        is `numpy.amin` or `numpy.amax` or `numpy.sum`.
+
+    """
+    y = moveaxis(x, (row_axis, col_axis), (-2, -1))
+    result = op(svd(y, compute_uv=False), axis=-1)
+    return result
+
+
+def _norm_dispatcher(x, ord=None, axis=None, keepdims=None):
+    return (x,)
+
+
+@array_function_dispatch(_norm_dispatcher)
+def norm(x, ord=None, axis=None, keepdims=False):
+    """
+    Matrix or vector norm.
+
+    This function is able to return one of eight different matrix norms,
+    or one of an infinite number of vector norms (described below), depending
+    on the value of the ``ord`` parameter.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array.  If `axis` is None, `x` must be 1-D or 2-D, unless `ord`
+        is None. If both `axis` and `ord` are None, the 2-norm of
+        ``x.ravel`` will be returned.
+    ord : {int, float, inf, -inf, 'fro', 'nuc'}, optional
+        Order of the norm (see table under ``Notes`` for what values are
+        supported for matrices and vectors respectively). inf means numpy's
+        `inf` object. The default is None.
+    axis : {None, int, 2-tuple of ints}, optional.
+        If `axis` is an integer, it specifies the axis of `x` along which to
+        compute the vector norms.  If `axis` is a 2-tuple, it specifies the
+        axes that hold 2-D matrices, and the matrix norms of these matrices
+        are computed.  If `axis` is None then either a vector norm (when `x`
+        is 1-D) or a matrix norm (when `x` is 2-D) is returned. The default
+        is None.
+
+    keepdims : bool, optional
+        If this is set to True, the axes which are normed over are left in the
+        result as dimensions with size one.  With this option the result will
+        broadcast correctly against the original `x`.
+
+    Returns
+    -------
+    n : float or ndarray
+        Norm of the matrix or vector(s).
+
+    See Also
+    --------
+    scipy.linalg.norm : Similar function in SciPy.
+
+    Notes
+    -----
+    For values of ``ord < 1``, the result is, strictly speaking, not a
+    mathematical 'norm', but it may still be useful for various numerical
+    purposes.
+
+    The following norms can be calculated:
+
+    =====  ============================  ==========================
+    ord    norm for matrices             norm for vectors
+    =====  ============================  ==========================
+    None   Frobenius norm                2-norm
+    'fro'  Frobenius norm                --
+    'nuc'  nuclear norm                  --
+    inf    max(sum(abs(x), axis=1))      max(abs(x))
+    -inf   min(sum(abs(x), axis=1))      min(abs(x))
+    0      --                            sum(x != 0)
+    1      max(sum(abs(x), axis=0))      as below
+    -1     min(sum(abs(x), axis=0))      as below
+    2      2-norm (largest sing. value)  as below
+    -2     smallest singular value       as below
+    other  --                            sum(abs(x)**ord)**(1./ord)
+    =====  ============================  ==========================
+
+    The Frobenius norm is given by [1]_:
+
+    :math:`||A||_F = [\\sum_{i,j} abs(a_{i,j})^2]^{1/2}`
+
+    The nuclear norm is the sum of the singular values.
+
+    Both the Frobenius and nuclear norm orders are only defined for
+    matrices and raise a ValueError when ``x.ndim != 2``.
+
+    References
+    ----------
+    .. [1] G. H. Golub and C. F. Van Loan, *Matrix Computations*,
+           Baltimore, MD, Johns Hopkins University Press, 1985, pg. 15
+
+    Examples
+    --------
+
+    >>> import numpy as np
+    >>> from numpy import linalg as LA
+    >>> a = np.arange(9) - 4
+    >>> a
+    array([-4, -3, -2, ...,  2,  3,  4])
+    >>> b = a.reshape((3, 3))
+    >>> b
+    array([[-4, -3, -2],
+           [-1,  0,  1],
+           [ 2,  3,  4]])
+
+    >>> LA.norm(a)
+    7.745966692414834
+    >>> LA.norm(b)
+    7.745966692414834
+    >>> LA.norm(b, 'fro')
+    7.745966692414834
+    >>> LA.norm(a, np.inf)
+    4.0
+    >>> LA.norm(b, np.inf)
+    9.0
+    >>> LA.norm(a, -np.inf)
+    0.0
+    >>> LA.norm(b, -np.inf)
+    2.0
+
+    >>> LA.norm(a, 1)
+    20.0
+    >>> LA.norm(b, 1)
+    7.0
+    >>> LA.norm(a, -1)
+    -4.6566128774142013e-010
+    >>> LA.norm(b, -1)
+    6.0
+    >>> LA.norm(a, 2)
+    7.745966692414834
+    >>> LA.norm(b, 2)
+    7.3484692283495345
+
+    >>> LA.norm(a, -2)
+    0.0
+    >>> LA.norm(b, -2)
+    1.8570331885190563e-016 # may vary
+    >>> LA.norm(a, 3)
+    5.8480354764257312 # may vary
+    >>> LA.norm(a, -3)
+    0.0
+
+    Using the `axis` argument to compute vector norms:
+
+    >>> c = np.array([[ 1, 2, 3],
+    ...               [-1, 1, 4]])
+    >>> LA.norm(c, axis=0)
+    array([ 1.41421356,  2.23606798,  5.        ])
+    >>> LA.norm(c, axis=1)
+    array([ 3.74165739,  4.24264069])
+    >>> LA.norm(c, ord=1, axis=1)
+    array([ 6.,  6.])
+
+    Using the `axis` argument to compute matrix norms:
+
+    >>> m = np.arange(8).reshape(2,2,2)
+    >>> LA.norm(m, axis=(1,2))
+    array([  3.74165739,  11.22497216])
+    >>> LA.norm(m[0, :, :]), LA.norm(m[1, :, :])
+    (3.7416573867739413, 11.224972160321824)
+
+    """
+    x = asarray(x)
+
+    if not issubclass(x.dtype.type, (inexact, object_)):
+        x = x.astype(float)
+
+    # Immediately handle some default, simple, fast, and common cases.
+    if axis is None:
+        ndim = x.ndim
+        if (
+            (ord is None) or
+            (ord in ('f', 'fro') and ndim == 2) or
+            (ord == 2 and ndim == 1)
+        ):
+            x = x.ravel(order='K')
+            if isComplexType(x.dtype.type):
+                x_real = x.real
+                x_imag = x.imag
+                sqnorm = x_real.dot(x_real) + x_imag.dot(x_imag)
+            else:
+                sqnorm = x.dot(x)
+            ret = sqrt(sqnorm)
+            if keepdims:
+                ret = ret.reshape(ndim*[1])
+            return ret
+
+    # Normalize the `axis` argument to a tuple.
+    nd = x.ndim
+    if axis is None:
+        axis = tuple(range(nd))
+    elif not isinstance(axis, tuple):
+        try:
+            axis = int(axis)
+        except Exception as e:
+            raise TypeError(
+                "'axis' must be None, an integer or a tuple of integers"
+            ) from e
+        axis = (axis,)
+
+    if len(axis) == 1:
+        if ord == inf:
+            return abs(x).max(axis=axis, keepdims=keepdims)
+        elif ord == -inf:
+            return abs(x).min(axis=axis, keepdims=keepdims)
+        elif ord == 0:
+            # Zero norm
+            return (
+                (x != 0)
+                .astype(x.real.dtype)
+                .sum(axis=axis, keepdims=keepdims)
+            )
+        elif ord == 1:
+            # special case for speedup
+            return add.reduce(abs(x), axis=axis, keepdims=keepdims)
+        elif ord is None or ord == 2:
+            # special case for speedup
+            s = (x.conj() * x).real
+            return sqrt(add.reduce(s, axis=axis, keepdims=keepdims))
+        # None of the str-type keywords for ord ('fro', 'nuc')
+        # are valid for vectors
+        elif isinstance(ord, str):
+            raise ValueError(f"Invalid norm order '{ord}' for vectors")
+        else:
+            absx = abs(x)
+            absx **= ord
+            ret = add.reduce(absx, axis=axis, keepdims=keepdims)
+            ret **= reciprocal(ord, dtype=ret.dtype)
+            return ret
+    elif len(axis) == 2:
+        row_axis, col_axis = axis
+        row_axis = normalize_axis_index(row_axis, nd)
+        col_axis = normalize_axis_index(col_axis, nd)
+        if row_axis == col_axis:
+            raise ValueError('Duplicate axes given.')
+        if ord == 2:
+            ret = _multi_svd_norm(x, row_axis, col_axis, amax)
+        elif ord == -2:
+            ret = _multi_svd_norm(x, row_axis, col_axis, amin)
+        elif ord == 1:
+            if col_axis > row_axis:
+                col_axis -= 1
+            ret = add.reduce(abs(x), axis=row_axis).max(axis=col_axis)
+        elif ord == inf:
+            if row_axis > col_axis:
+                row_axis -= 1
+            ret = add.reduce(abs(x), axis=col_axis).max(axis=row_axis)
+        elif ord == -1:
+            if col_axis > row_axis:
+                col_axis -= 1
+            ret = add.reduce(abs(x), axis=row_axis).min(axis=col_axis)
+        elif ord == -inf:
+            if row_axis > col_axis:
+                row_axis -= 1
+            ret = add.reduce(abs(x), axis=col_axis).min(axis=row_axis)
+        elif ord in [None, 'fro', 'f']:
+            ret = sqrt(add.reduce((x.conj() * x).real, axis=axis))
+        elif ord == 'nuc':
+            ret = _multi_svd_norm(x, row_axis, col_axis, sum)
+        else:
+            raise ValueError("Invalid norm order for matrices.")
+        if keepdims:
+            ret_shape = list(x.shape)
+            ret_shape[axis[0]] = 1
+            ret_shape[axis[1]] = 1
+            ret = ret.reshape(ret_shape)
+        return ret
+    else:
+        raise ValueError("Improper number of dimensions to norm.")
+
+
+# multi_dot
+
+def _multidot_dispatcher(arrays, *, out=None):
+    yield from arrays
+    yield out
+
+
+@array_function_dispatch(_multidot_dispatcher)
+def multi_dot(arrays, *, out=None):
+    """
+    Compute the dot product of two or more arrays in a single function call,
+    while automatically selecting the fastest evaluation order.
+
+    `multi_dot` chains `numpy.dot` and uses optimal parenthesization
+    of the matrices [1]_ [2]_. Depending on the shapes of the matrices,
+    this can speed up the multiplication a lot.
+
+    If the first argument is 1-D it is treated as a row vector.
+    If the last argument is 1-D it is treated as a column vector.
+    The other arguments must be 2-D.
+
+    Think of `multi_dot` as::
+
+        def multi_dot(arrays): return functools.reduce(np.dot, arrays)
+
+
+    Parameters
+    ----------
+    arrays : sequence of array_like
+        If the first argument is 1-D it is treated as row vector.
+        If the last argument is 1-D it is treated as column vector.
+        The other arguments must be 2-D.
+    out : ndarray, optional
+        Output argument. This must have the exact kind that would be returned
+        if it was not used. In particular, it must have the right type, must be
+        C-contiguous, and its dtype must be the dtype that would be returned
+        for `dot(a, b)`. This is a performance feature. Therefore, if these
+        conditions are not met, an exception is raised, instead of attempting
+        to be flexible.
+
+    Returns
+    -------
+    output : ndarray
+        Returns the dot product of the supplied arrays.
+
+    See Also
+    --------
+    numpy.dot : dot multiplication with two arguments.
+
+    References
+    ----------
+
+    .. [1] Cormen, "Introduction to Algorithms", Chapter 15.2, p. 370-378
+    .. [2] https://en.wikipedia.org/wiki/Matrix_chain_multiplication
+
+    Examples
+    --------
+    `multi_dot` allows you to write::
+
+    >>> import numpy as np
+    >>> from numpy.linalg import multi_dot
+    >>> # Prepare some data
+    >>> A = np.random.random((10000, 100))
+    >>> B = np.random.random((100, 1000))
+    >>> C = np.random.random((1000, 5))
+    >>> D = np.random.random((5, 333))
+    >>> # the actual dot multiplication
+    >>> _ = multi_dot([A, B, C, D])
+
+    instead of::
+
+    >>> _ = np.dot(np.dot(np.dot(A, B), C), D)
+    >>> # or
+    >>> _ = A.dot(B).dot(C).dot(D)
+
+    Notes
+    -----
+    The cost for a matrix multiplication can be calculated with the
+    following function::
+
+        def cost(A, B):
+            return A.shape[0] * A.shape[1] * B.shape[1]
+
+    Assume we have three matrices
+    :math:`A_{10x100}, B_{100x5}, C_{5x50}`.
+
+    The costs for the two different parenthesizations are as follows::
+
+        cost((AB)C) = 10*100*5 + 10*5*50   = 5000 + 2500   = 7500
+        cost(A(BC)) = 10*100*50 + 100*5*50 = 50000 + 25000 = 75000
+
+    """
+    n = len(arrays)
+    # optimization only makes sense for len(arrays) > 2
+    if n < 2:
+        raise ValueError("Expecting at least two arrays.")
+    elif n == 2:
+        return dot(arrays[0], arrays[1], out=out)
+
+    arrays = [asanyarray(a) for a in arrays]
+
+    # save original ndim to reshape the result array into the proper form later
+    ndim_first, ndim_last = arrays[0].ndim, arrays[-1].ndim
+    # Explicitly convert vectors to 2D arrays to keep the logic of the internal
+    # _multi_dot_* functions as simple as possible.
+    if arrays[0].ndim == 1:
+        arrays[0] = atleast_2d(arrays[0])
+    if arrays[-1].ndim == 1:
+        arrays[-1] = atleast_2d(arrays[-1]).T
+    _assert_2d(*arrays)
+
+    # _multi_dot_three is much faster than _multi_dot_matrix_chain_order
+    if n == 3:
+        result = _multi_dot_three(arrays[0], arrays[1], arrays[2], out=out)
+    else:
+        order = _multi_dot_matrix_chain_order(arrays)
+        result = _multi_dot(arrays, order, 0, n - 1, out=out)
+
+    # return proper shape
+    if ndim_first == 1 and ndim_last == 1:
+        return result[0, 0]  # scalar
+    elif ndim_first == 1 or ndim_last == 1:
+        return result.ravel()  # 1-D
+    else:
+        return result
+
+
+def _multi_dot_three(A, B, C, out=None):
+    """
+    Find the best order for three arrays and do the multiplication.
+
+    For three arguments `_multi_dot_three` is approximately 15 times faster
+    than `_multi_dot_matrix_chain_order`
+
+    """
+    a0, a1b0 = A.shape
+    b1c0, c1 = C.shape
+    # cost1 = cost((AB)C) = a0*a1b0*b1c0 + a0*b1c0*c1
+    cost1 = a0 * b1c0 * (a1b0 + c1)
+    # cost2 = cost(A(BC)) = a1b0*b1c0*c1 + a0*a1b0*c1
+    cost2 = a1b0 * c1 * (a0 + b1c0)
+
+    if cost1 < cost2:
+        return dot(dot(A, B), C, out=out)
+    else:
+        return dot(A, dot(B, C), out=out)
+
+
+def _multi_dot_matrix_chain_order(arrays, return_costs=False):
+    """
+    Return a np.array that encodes the optimal order of multiplications.
+
+    The optimal order array is then used by `_multi_dot()` to do the
+    multiplication.
+
+    Also return the cost matrix if `return_costs` is `True`
+
+    The implementation CLOSELY follows Cormen, "Introduction to Algorithms",
+    Chapter 15.2, p. 370-378.  Note that Cormen uses 1-based indices.
+
+        cost[i, j] = min([
+            cost[prefix] + cost[suffix] + cost_mult(prefix, suffix)
+            for k in range(i, j)])
+
+    """
+    n = len(arrays)
+    # p stores the dimensions of the matrices
+    # Example for p: A_{10x100}, B_{100x5}, C_{5x50} --> p = [10, 100, 5, 50]
+    p = [a.shape[0] for a in arrays] + [arrays[-1].shape[1]]
+    # m is a matrix of costs of the subproblems
+    # m[i,j]: min number of scalar multiplications needed to compute A_{i..j}
+    m = zeros((n, n), dtype=double)
+    # s is the actual ordering
+    # s[i, j] is the value of k at which we split the product A_i..A_j
+    s = empty((n, n), dtype=intp)
+
+    for l in range(1, n):
+        for i in range(n - l):
+            j = i + l
+            m[i, j] = inf
+            for k in range(i, j):
+                q = m[i, k] + m[k+1, j] + p[i]*p[k+1]*p[j+1]
+                if q < m[i, j]:
+                    m[i, j] = q
+                    s[i, j] = k  # Note that Cormen uses 1-based index
+
+    return (s, m) if return_costs else s
+
+
+def _multi_dot(arrays, order, i, j, out=None):
+    """Actually do the multiplication with the given order."""
+    if i == j:
+        # the initial call with non-None out should never get here
+        assert out is None
+
+        return arrays[i]
+    else:
+        return dot(_multi_dot(arrays, order, i, order[i, j]),
+                   _multi_dot(arrays, order, order[i, j] + 1, j),
+                   out=out)
+
+
+# diagonal
+
+def _diagonal_dispatcher(x, /, *, offset=None):
+    return (x,)
+
+
+@array_function_dispatch(_diagonal_dispatcher)
+def diagonal(x, /, *, offset=0):
+    """
+    Returns specified diagonals of a matrix (or a stack of matrices) ``x``.
+
+    This function is Array API compatible, contrary to
+    :py:func:`numpy.diagonal`, the matrix is assumed
+    to be defined by the last two dimensions.
+
+    Parameters
+    ----------
+    x : (...,M,N) array_like
+        Input array having shape (..., M, N) and whose innermost two
+        dimensions form MxN matrices.
+    offset : int, optional
+        Offset specifying the off-diagonal relative to the main diagonal,
+        where::
+
+            * offset = 0: the main diagonal.
+            * offset > 0: off-diagonal above the main diagonal.
+            * offset < 0: off-diagonal below the main diagonal.
+
+    Returns
+    -------
+    out : (...,min(N,M)) ndarray
+        An array containing the diagonals and whose shape is determined by
+        removing the last two dimensions and appending a dimension equal to
+        the size of the resulting diagonals. The returned array must have
+        the same data type as ``x``.
+
+    See Also
+    --------
+    numpy.diagonal
+
+    Examples
+    --------
+    >>> a = np.arange(4).reshape(2, 2); a
+    array([[0, 1],
+           [2, 3]])
+    >>> np.linalg.diagonal(a)
+    array([0, 3])
+
+    A 3-D example:
+
+    >>> a = np.arange(8).reshape(2, 2, 2); a
+    array([[[0, 1],
+            [2, 3]],
+           [[4, 5],
+            [6, 7]]])
+    >>> np.linalg.diagonal(a)
+    array([[0, 3],
+           [4, 7]])
+
+    Diagonals adjacent to the main diagonal can be obtained by using the
+    `offset` argument:
+
+    >>> a = np.arange(9).reshape(3, 3)
+    >>> a
+    array([[0, 1, 2],
+           [3, 4, 5],
+           [6, 7, 8]])
+    >>> np.linalg.diagonal(a, offset=1)  # First superdiagonal
+    array([1, 5])
+    >>> np.linalg.diagonal(a, offset=2)  # Second superdiagonal
+    array([2])
+    >>> np.linalg.diagonal(a, offset=-1)  # First subdiagonal
+    array([3, 7])
+    >>> np.linalg.diagonal(a, offset=-2)  # Second subdiagonal
+    array([6])
+
+    The anti-diagonal can be obtained by reversing the order of elements
+    using either `numpy.flipud` or `numpy.fliplr`.
+
+    >>> a = np.arange(9).reshape(3, 3)
+    >>> a
+    array([[0, 1, 2],
+           [3, 4, 5],
+           [6, 7, 8]])
+    >>> np.linalg.diagonal(np.fliplr(a))  # Horizontal flip
+    array([2, 4, 6])
+    >>> np.linalg.diagonal(np.flipud(a))  # Vertical flip
+    array([6, 4, 2])
+
+    Note that the order in which the diagonal is retrieved varies depending
+    on the flip function.
+
+    """
+    return _core_diagonal(x, offset, axis1=-2, axis2=-1)
+
+
+# trace
+
+def _trace_dispatcher(x, /, *, offset=None, dtype=None):
+    return (x,)
+
+
+@array_function_dispatch(_trace_dispatcher)
+def trace(x, /, *, offset=0, dtype=None):
+    """
+    Returns the sum along the specified diagonals of a matrix
+    (or a stack of matrices) ``x``.
+
+    This function is Array API compatible, contrary to
+    :py:func:`numpy.trace`.
+
+    Parameters
+    ----------
+    x : (...,M,N) array_like
+        Input array having shape (..., M, N) and whose innermost two
+        dimensions form MxN matrices.
+    offset : int, optional
+        Offset specifying the off-diagonal relative to the main diagonal,
+        where::
+
+            * offset = 0: the main diagonal.
+            * offset > 0: off-diagonal above the main diagonal.
+            * offset < 0: off-diagonal below the main diagonal.
+
+    dtype : dtype, optional
+        Data type of the returned array.
+
+    Returns
+    -------
+    out : ndarray
+        An array containing the traces and whose shape is determined by
+        removing the last two dimensions and storing the traces in the last
+        array dimension. For example, if x has rank k and shape:
+        (I, J, K, ..., L, M, N), then an output array has rank k-2 and shape:
+        (I, J, K, ..., L) where::
+
+            out[i, j, k, ..., l] = trace(a[i, j, k, ..., l, :, :])
+
+        The returned array must have a data type as described by the dtype
+        parameter above.
+
+    See Also
+    --------
+    numpy.trace
+
+    Examples
+    --------
+    >>> np.linalg.trace(np.eye(3))
+    3.0
+    >>> a = np.arange(8).reshape((2, 2, 2))
+    >>> np.linalg.trace(a)
+    array([3, 11])
+
+    Trace is computed with the last two axes as the 2-d sub-arrays.
+    This behavior differs from :py:func:`numpy.trace` which uses the first two
+    axes by default.
+
+    >>> a = np.arange(24).reshape((3, 2, 2, 2))
+    >>> np.linalg.trace(a).shape
+    (3, 2)
+
+    Traces adjacent to the main diagonal can be obtained by using the
+    `offset` argument:
+
+    >>> a = np.arange(9).reshape((3, 3)); a
+    array([[0, 1, 2],
+           [3, 4, 5],
+           [6, 7, 8]])
+    >>> np.linalg.trace(a, offset=1)  # First superdiagonal
+    6
+    >>> np.linalg.trace(a, offset=2)  # Second superdiagonal
+    2
+    >>> np.linalg.trace(a, offset=-1)  # First subdiagonal
+    10
+    >>> np.linalg.trace(a, offset=-2)  # Second subdiagonal
+    6
+
+    """
+    return _core_trace(x, offset, axis1=-2, axis2=-1, dtype=dtype)
+
+
+# cross
+
+def _cross_dispatcher(x1, x2, /, *, axis=None):
+    return (x1, x2,)
+
+
+@array_function_dispatch(_cross_dispatcher)
+def cross(x1, x2, /, *, axis=-1):
+    """
+    Returns the cross product of 3-element vectors.
+
+    If ``x1`` and/or ``x2`` are multi-dimensional arrays, then
+    the cross-product of each pair of corresponding 3-element vectors
+    is independently computed.
+
+    This function is Array API compatible, contrary to
+    :func:`numpy.cross`.
+
+    Parameters
+    ----------
+    x1 : array_like
+        The first input array.
+    x2 : array_like
+        The second input array. Must be compatible with ``x1`` for all
+        non-compute axes. The size of the axis over which to compute
+        the cross-product must be the same size as the respective axis
+        in ``x1``.
+    axis : int, optional
+        The axis (dimension) of ``x1`` and ``x2`` containing the vectors for
+        which to compute the cross-product. Default: ``-1``.
+
+    Returns
+    -------
+    out : ndarray
+        An array containing the cross products.
+
+    See Also
+    --------
+    numpy.cross
+
+    Examples
+    --------
+    Vector cross-product.
+
+    >>> x = np.array([1, 2, 3])
+    >>> y = np.array([4, 5, 6])
+    >>> np.linalg.cross(x, y)
+    array([-3,  6, -3])
+
+    Multiple vector cross-products. Note that the direction of the cross
+    product vector is defined by the *right-hand rule*.
+
+    >>> x = np.array([[1,2,3], [4,5,6]])
+    >>> y = np.array([[4,5,6], [1,2,3]])
+    >>> np.linalg.cross(x, y)
+    array([[-3,  6, -3],
+           [ 3, -6,  3]])
+
+    >>> x = np.array([[1, 2], [3, 4], [5, 6]])
+    >>> y = np.array([[4, 5], [6, 1], [2, 3]])
+    >>> np.linalg.cross(x, y, axis=0)
+    array([[-24,  6],
+           [ 18, 24],
+           [-6,  -18]])
+
+    """
+    x1 = asanyarray(x1)
+    x2 = asanyarray(x2)
+
+    if x1.shape[axis] != 3 or x2.shape[axis] != 3:
+        raise ValueError(
+            "Both input arrays must be (arrays of) 3-dimensional vectors, "
+            f"but they are {x1.shape[axis]} and {x2.shape[axis]} "
+            "dimensional instead."
+        )
+
+    return _core_cross(x1, x2, axis=axis)
+
+
+# matmul
+
+def _matmul_dispatcher(x1, x2, /):
+    return (x1, x2)
+
+
+@array_function_dispatch(_matmul_dispatcher)
+def matmul(x1, x2, /):
+    """
+    Computes the matrix product.
+
+    This function is Array API compatible, contrary to
+    :func:`numpy.matmul`.
+
+    Parameters
+    ----------
+    x1 : array_like
+        The first input array.
+    x2 : array_like
+        The second input array.
+
+    Returns
+    -------
+    out : ndarray
+        The matrix product of the inputs.
+        This is a scalar only when both ``x1``, ``x2`` are 1-d vectors.
+
+    Raises
+    ------
+    ValueError
+        If the last dimension of ``x1`` is not the same size as
+        the second-to-last dimension of ``x2``.
+
+        If a scalar value is passed in.
+
+    See Also
+    --------
+    numpy.matmul
+
+    Examples
+    --------
+    For 2-D arrays it is the matrix product:
+
+    >>> a = np.array([[1, 0],
+    ...               [0, 1]])
+    >>> b = np.array([[4, 1],
+    ...               [2, 2]])
+    >>> np.linalg.matmul(a, b)
+    array([[4, 1],
+           [2, 2]])
+
+    For 2-D mixed with 1-D, the result is the usual.
+
+    >>> a = np.array([[1, 0],
+    ...               [0, 1]])
+    >>> b = np.array([1, 2])
+    >>> np.linalg.matmul(a, b)
+    array([1, 2])
+    >>> np.linalg.matmul(b, a)
+    array([1, 2])
+
+
+    Broadcasting is conventional for stacks of arrays
+
+    >>> a = np.arange(2 * 2 * 4).reshape((2, 2, 4))
+    >>> b = np.arange(2 * 2 * 4).reshape((2, 4, 2))
+    >>> np.linalg.matmul(a,b).shape
+    (2, 2, 2)
+    >>> np.linalg.matmul(a, b)[0, 1, 1]
+    98
+    >>> sum(a[0, 1, :] * b[0 , :, 1])
+    98
+
+    Vector, vector returns the scalar inner product, but neither argument
+    is complex-conjugated:
+
+    >>> np.linalg.matmul([2j, 3j], [2j, 3j])
+    (-13+0j)
+
+    Scalar multiplication raises an error.
+
+    >>> np.linalg.matmul([1,2], 3)
+    Traceback (most recent call last):
+    ...
+    ValueError: matmul: Input operand 1 does not have enough dimensions ...
+
+    """
+    return _core_matmul(x1, x2)
+
+
+# tensordot
+
+def _tensordot_dispatcher(x1, x2, /, *, axes=None):
+    return (x1, x2)
+
+
+@array_function_dispatch(_tensordot_dispatcher)
+def tensordot(x1, x2, /, *, axes=2):
+    return _core_tensordot(x1, x2, axes=axes)
+
+
+tensordot.__doc__ = _core_tensordot.__doc__
+
+
+# matrix_transpose
+
+def _matrix_transpose_dispatcher(x):
+    return (x,)
+
+@array_function_dispatch(_matrix_transpose_dispatcher)
+def matrix_transpose(x, /):
+    return _core_matrix_transpose(x)
+
+
+matrix_transpose.__doc__ = _core_matrix_transpose.__doc__
+
+
+# matrix_norm
+
+def _matrix_norm_dispatcher(x, /, *, keepdims=None, ord=None):
+    return (x,)
+
+@array_function_dispatch(_matrix_norm_dispatcher)
+def matrix_norm(x, /, *, keepdims=False, ord="fro"):
+    """
+    Computes the matrix norm of a matrix (or a stack of matrices) ``x``.
+
+    This function is Array API compatible.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array having shape (..., M, N) and whose two innermost
+        dimensions form ``MxN`` matrices.
+    keepdims : bool, optional
+        If this is set to True, the axes which are normed over are left in
+        the result as dimensions with size one. Default: False.
+    ord : {1, -1, 2, -2, inf, -inf, 'fro', 'nuc'}, optional
+        The order of the norm. For details see the table under ``Notes``
+        in `numpy.linalg.norm`.
+
+    See Also
+    --------
+    numpy.linalg.norm : Generic norm function
+
+    Examples
+    --------
+    >>> from numpy import linalg as LA
+    >>> a = np.arange(9) - 4
+    >>> a
+    array([-4, -3, -2, ...,  2,  3,  4])
+    >>> b = a.reshape((3, 3))
+    >>> b
+    array([[-4, -3, -2],
+           [-1,  0,  1],
+           [ 2,  3,  4]])
+
+    >>> LA.matrix_norm(b)
+    7.745966692414834
+    >>> LA.matrix_norm(b, ord='fro')
+    7.745966692414834
+    >>> LA.matrix_norm(b, ord=np.inf)
+    9.0
+    >>> LA.matrix_norm(b, ord=-np.inf)
+    2.0
+
+    >>> LA.matrix_norm(b, ord=1)
+    7.0
+    >>> LA.matrix_norm(b, ord=-1)
+    6.0
+    >>> LA.matrix_norm(b, ord=2)
+    7.3484692283495345
+    >>> LA.matrix_norm(b, ord=-2)
+    1.8570331885190563e-016 # may vary
+
+    """
+    x = asanyarray(x)
+    return norm(x, axis=(-2, -1), keepdims=keepdims, ord=ord)
+
+
+# vector_norm
+
+def _vector_norm_dispatcher(x, /, *, axis=None, keepdims=None, ord=None):
+    return (x,)
+
+@array_function_dispatch(_vector_norm_dispatcher)
+def vector_norm(x, /, *, axis=None, keepdims=False, ord=2):
+    """
+    Computes the vector norm of a vector (or batch of vectors) ``x``.
+
+    This function is Array API compatible.
+
+    Parameters
+    ----------
+    x : array_like
+        Input array.
+    axis : {None, int, 2-tuple of ints}, optional
+        If an integer, ``axis`` specifies the axis (dimension) along which
+        to compute vector norms. If an n-tuple, ``axis`` specifies the axes
+        (dimensions) along which to compute batched vector norms. If ``None``,
+        the vector norm must be computed over all array values (i.e.,
+        equivalent to computing the vector norm of a flattened array).
+        Default: ``None``.
+    keepdims : bool, optional
+        If this is set to True, the axes which are normed over are left in
+        the result as dimensions with size one. Default: False.
+    ord : {int, float, inf, -inf}, optional
+        The order of the norm. For details see the table under ``Notes``
+        in `numpy.linalg.norm`.
+
+    See Also
+    --------
+    numpy.linalg.norm : Generic norm function
+
+    Examples
+    --------
+    >>> from numpy import linalg as LA
+    >>> a = np.arange(9) + 1
+    >>> a
+    array([1, 2, 3, 4, 5, 6, 7, 8, 9])
+    >>> b = a.reshape((3, 3))
+    >>> b
+    array([[1, 2, 3],
+           [4, 5, 6],
+           [7, 8, 9]])
+
+    >>> LA.vector_norm(b)
+    16.881943016134134
+    >>> LA.vector_norm(b, ord=np.inf)
+    9.0
+    >>> LA.vector_norm(b, ord=-np.inf)
+    1.0
+
+    >>> LA.vector_norm(b, ord=0)
+    9.0
+    >>> LA.vector_norm(b, ord=1)
+    45.0
+    >>> LA.vector_norm(b, ord=-1)
+    0.3534857623790153
+    >>> LA.vector_norm(b, ord=2)
+    16.881943016134134
+    >>> LA.vector_norm(b, ord=-2)
+    0.8058837395885292
+
+    """
+    x = asanyarray(x)
+    shape = list(x.shape)
+    if axis is None:
+        # Note: np.linalg.norm() doesn't handle 0-D arrays
+        x = x.ravel()
+        _axis = 0
+    elif isinstance(axis, tuple):
+        # Note: The axis argument supports any number of axes, whereas
+        # np.linalg.norm() only supports a single axis for vector norm.
+        normalized_axis = normalize_axis_tuple(axis, x.ndim)
+        rest = tuple(i for i in range(x.ndim) if i not in normalized_axis)
+        newshape = axis + rest
+        x = _core_transpose(x, newshape).reshape(
+            (
+                prod([x.shape[i] for i in axis], dtype=int),
+                *[x.shape[i] for i in rest]
+            )
+        )
+        _axis = 0
+    else:
+        _axis = axis
+
+    res = norm(x, axis=_axis, ord=ord)
+
+    if keepdims:
+        # We can't reuse np.linalg.norm(keepdims) because of the reshape hacks
+        # above to avoid matrix norm logic.
+        _axis = normalize_axis_tuple(
+            range(len(shape)) if axis is None else axis, len(shape)
+        )
+        for i in _axis:
+            shape[i] = 1
+        res = res.reshape(tuple(shape))
+
+    return res
+
+
+# vecdot
+
+def _vecdot_dispatcher(x1, x2, /, *, axis=None):
+    return (x1, x2)
+
+@array_function_dispatch(_vecdot_dispatcher)
+def vecdot(x1, x2, /, *, axis=-1):
+    """
+    Computes the vector dot product.
+
+    This function is restricted to arguments compatible with the Array API,
+    contrary to :func:`numpy.vecdot`.
+
+    Let :math:`\\mathbf{a}` be a vector in ``x1`` and :math:`\\mathbf{b}` be
+    a corresponding vector in ``x2``. The dot product is defined as:
+
+    .. math::
+       \\mathbf{a} \\cdot \\mathbf{b} = \\sum_{i=0}^{n-1} \\overline{a_i}b_i
+
+    over the dimension specified by ``axis`` and where :math:`\\overline{a_i}`
+    denotes the complex conjugate if :math:`a_i` is complex and the identity
+    otherwise.
+
+    Parameters
+    ----------
+    x1 : array_like
+        First input array.
+    x2 : array_like
+        Second input array.
+    axis : int, optional
+        Axis over which to compute the dot product. Default: ``-1``.
+
+    Returns
+    -------
+    output : ndarray
+        The vector dot product of the input.
+
+    See Also
+    --------
+    numpy.vecdot
+
+    Examples
+    --------
+    Get the projected size along a given normal for an array of vectors.
+
+    >>> v = np.array([[0., 5., 0.], [0., 0., 10.], [0., 6., 8.]])
+    >>> n = np.array([0., 0.6, 0.8])
+    >>> np.linalg.vecdot(v, n)
+    array([ 3.,  8., 10.])
+
+    """
+    return _core_vecdot(x1, x2, axis=axis)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_linalg.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_linalg.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..9f646ec94037bb3bcbf91fbb186596ec5692929c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_linalg.pyi
@@ -0,0 +1,482 @@
+from collections.abc import Iterable
+from typing import (
+    Literal as L,
+    overload,
+    TypeAlias,
+    TypeVar,
+    Any,
+    SupportsIndex,
+    SupportsInt,
+    NamedTuple,
+)
+
+import numpy as np
+from numpy import (
+    # re-exports
+    vecdot,
+
+    # other
+    floating,
+    complexfloating,
+    signedinteger,
+    unsignedinteger,
+    timedelta64,
+    object_,
+    int32,
+    float64,
+    complex128,
+)
+from numpy.linalg import LinAlgError
+from numpy._core.fromnumeric import matrix_transpose
+from numpy._core.numeric import tensordot
+from numpy._typing import (
+    NDArray,
+    ArrayLike,
+    DTypeLike,
+    _ArrayLikeUnknown,
+    _ArrayLikeBool_co,
+    _ArrayLikeInt_co,
+    _ArrayLikeUInt_co,
+    _ArrayLikeFloat_co,
+    _ArrayLikeComplex_co,
+    _ArrayLikeTD64_co,
+    _ArrayLikeObject_co,
+)
+
+__all__ = [
+    "matrix_power",
+    "solve",
+    "tensorsolve",
+    "tensorinv",
+    "inv",
+    "cholesky",
+    "eigvals",
+    "eigvalsh",
+    "pinv",
+    "slogdet",
+    "det",
+    "svd",
+    "svdvals",
+    "eig",
+    "eigh",
+    "lstsq",
+    "norm",
+    "qr",
+    "cond",
+    "matrix_rank",
+    "LinAlgError",
+    "multi_dot",
+    "trace",
+    "diagonal",
+    "cross",
+    "outer",
+    "tensordot",
+    "matmul",
+    "matrix_transpose",
+    "matrix_norm",
+    "vector_norm",
+    "vecdot",
+]
+
+_ArrayType = TypeVar("_ArrayType", bound=NDArray[Any])
+
+_ModeKind: TypeAlias = L["reduced", "complete", "r", "raw"]
+
+###
+
+fortran_int = np.intc
+
+class EigResult(NamedTuple):
+    eigenvalues: NDArray[Any]
+    eigenvectors: NDArray[Any]
+
+class EighResult(NamedTuple):
+    eigenvalues: NDArray[Any]
+    eigenvectors: NDArray[Any]
+
+class QRResult(NamedTuple):
+    Q: NDArray[Any]
+    R: NDArray[Any]
+
+class SlogdetResult(NamedTuple):
+    # TODO: `sign` and `logabsdet` are scalars for input 2D arrays and
+    # a `(x.ndim - 2)`` dimensionl arrays otherwise
+    sign: Any
+    logabsdet: Any
+
+class SVDResult(NamedTuple):
+    U: NDArray[Any]
+    S: NDArray[Any]
+    Vh: NDArray[Any]
+
+@overload
+def tensorsolve(
+    a: _ArrayLikeInt_co,
+    b: _ArrayLikeInt_co,
+    axes: None | Iterable[int] =...,
+) -> NDArray[float64]: ...
+@overload
+def tensorsolve(
+    a: _ArrayLikeFloat_co,
+    b: _ArrayLikeFloat_co,
+    axes: None | Iterable[int] =...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def tensorsolve(
+    a: _ArrayLikeComplex_co,
+    b: _ArrayLikeComplex_co,
+    axes: None | Iterable[int] =...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def solve(
+    a: _ArrayLikeInt_co,
+    b: _ArrayLikeInt_co,
+) -> NDArray[float64]: ...
+@overload
+def solve(
+    a: _ArrayLikeFloat_co,
+    b: _ArrayLikeFloat_co,
+) -> NDArray[floating[Any]]: ...
+@overload
+def solve(
+    a: _ArrayLikeComplex_co,
+    b: _ArrayLikeComplex_co,
+) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def tensorinv(
+    a: _ArrayLikeInt_co,
+    ind: int = ...,
+) -> NDArray[float64]: ...
+@overload
+def tensorinv(
+    a: _ArrayLikeFloat_co,
+    ind: int = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def tensorinv(
+    a: _ArrayLikeComplex_co,
+    ind: int = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def inv(a: _ArrayLikeInt_co) -> NDArray[float64]: ...
+@overload
+def inv(a: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ...
+@overload
+def inv(a: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+# TODO: The supported input and output dtypes are dependent on the value of `n`.
+# For example: `n < 0` always casts integer types to float64
+def matrix_power(
+    a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+    n: SupportsIndex,
+) -> NDArray[Any]: ...
+
+@overload
+def cholesky(a: _ArrayLikeInt_co, /, *, upper: bool = False) -> NDArray[float64]: ...
+@overload
+def cholesky(a: _ArrayLikeFloat_co, /, *, upper: bool = False) -> NDArray[floating[Any]]: ...
+@overload
+def cholesky(a: _ArrayLikeComplex_co, /, *, upper: bool = False) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def outer(x1: _ArrayLikeUnknown, x2: _ArrayLikeUnknown) -> NDArray[Any]: ...
+@overload
+def outer(x1: _ArrayLikeBool_co, x2: _ArrayLikeBool_co) -> NDArray[np.bool]: ...
+@overload
+def outer(x1: _ArrayLikeUInt_co, x2: _ArrayLikeUInt_co) -> NDArray[unsignedinteger[Any]]: ...
+@overload
+def outer(x1: _ArrayLikeInt_co, x2: _ArrayLikeInt_co) -> NDArray[signedinteger[Any]]: ...
+@overload
+def outer(x1: _ArrayLikeFloat_co, x2: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ...
+@overload
+def outer(
+    x1: _ArrayLikeComplex_co,
+    x2: _ArrayLikeComplex_co,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def outer(
+    x1: _ArrayLikeTD64_co,
+    x2: _ArrayLikeTD64_co,
+    out: None = ...,
+) -> NDArray[timedelta64]: ...
+@overload
+def outer(x1: _ArrayLikeObject_co, x2: _ArrayLikeObject_co) -> NDArray[object_]: ...
+@overload
+def outer(
+    x1: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+    x2: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
+) -> _ArrayType: ...
+
+@overload
+def qr(a: _ArrayLikeInt_co, mode: _ModeKind = ...) -> QRResult: ...
+@overload
+def qr(a: _ArrayLikeFloat_co, mode: _ModeKind = ...) -> QRResult: ...
+@overload
+def qr(a: _ArrayLikeComplex_co, mode: _ModeKind = ...) -> QRResult: ...
+
+@overload
+def eigvals(a: _ArrayLikeInt_co) -> NDArray[float64] | NDArray[complex128]: ...
+@overload
+def eigvals(a: _ArrayLikeFloat_co) -> NDArray[floating[Any]] | NDArray[complexfloating[Any, Any]]: ...
+@overload
+def eigvals(a: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def eigvalsh(a: _ArrayLikeInt_co, UPLO: L["L", "U", "l", "u"] = ...) -> NDArray[float64]: ...
+@overload
+def eigvalsh(a: _ArrayLikeComplex_co, UPLO: L["L", "U", "l", "u"] = ...) -> NDArray[floating[Any]]: ...
+
+@overload
+def eig(a: _ArrayLikeInt_co) -> EigResult: ...
+@overload
+def eig(a: _ArrayLikeFloat_co) -> EigResult: ...
+@overload
+def eig(a: _ArrayLikeComplex_co) -> EigResult: ...
+
+@overload
+def eigh(
+    a: _ArrayLikeInt_co,
+    UPLO: L["L", "U", "l", "u"] = ...,
+) -> EighResult: ...
+@overload
+def eigh(
+    a: _ArrayLikeFloat_co,
+    UPLO: L["L", "U", "l", "u"] = ...,
+) -> EighResult: ...
+@overload
+def eigh(
+    a: _ArrayLikeComplex_co,
+    UPLO: L["L", "U", "l", "u"] = ...,
+) -> EighResult: ...
+
+@overload
+def svd(
+    a: _ArrayLikeInt_co,
+    full_matrices: bool = ...,
+    compute_uv: L[True] = ...,
+    hermitian: bool = ...,
+) -> SVDResult: ...
+@overload
+def svd(
+    a: _ArrayLikeFloat_co,
+    full_matrices: bool = ...,
+    compute_uv: L[True] = ...,
+    hermitian: bool = ...,
+) -> SVDResult: ...
+@overload
+def svd(
+    a: _ArrayLikeComplex_co,
+    full_matrices: bool = ...,
+    compute_uv: L[True] = ...,
+    hermitian: bool = ...,
+) -> SVDResult: ...
+@overload
+def svd(
+    a: _ArrayLikeInt_co,
+    full_matrices: bool = ...,
+    compute_uv: L[False] = ...,
+    hermitian: bool = ...,
+) -> NDArray[float64]: ...
+@overload
+def svd(
+    a: _ArrayLikeComplex_co,
+    full_matrices: bool = ...,
+    compute_uv: L[False] = ...,
+    hermitian: bool = ...,
+) -> NDArray[floating[Any]]: ...
+
+def svdvals(
+    x: _ArrayLikeInt_co | _ArrayLikeFloat_co | _ArrayLikeComplex_co
+) -> NDArray[floating[Any]]: ...
+
+# TODO: Returns a scalar for 2D arrays and
+# a `(x.ndim - 2)`` dimensionl array otherwise
+def cond(x: _ArrayLikeComplex_co, p: None | float | L["fro", "nuc"] = ...) -> Any: ...
+
+# TODO: Returns `int` for <2D arrays and `intp` otherwise
+def matrix_rank(
+    A: _ArrayLikeComplex_co,
+    tol: None | _ArrayLikeFloat_co = ...,
+    hermitian: bool = ...,
+    *,
+    rtol: None | _ArrayLikeFloat_co = ...,
+) -> Any: ...
+
+@overload
+def pinv(
+    a: _ArrayLikeInt_co,
+    rcond: _ArrayLikeFloat_co = ...,
+    hermitian: bool = ...,
+) -> NDArray[float64]: ...
+@overload
+def pinv(
+    a: _ArrayLikeFloat_co,
+    rcond: _ArrayLikeFloat_co = ...,
+    hermitian: bool = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def pinv(
+    a: _ArrayLikeComplex_co,
+    rcond: _ArrayLikeFloat_co = ...,
+    hermitian: bool = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+
+# TODO: Returns a 2-tuple of scalars for 2D arrays and
+# a 2-tuple of `(a.ndim - 2)`` dimensionl arrays otherwise
+def slogdet(a: _ArrayLikeComplex_co) -> SlogdetResult: ...
+
+# TODO: Returns a 2-tuple of scalars for 2D arrays and
+# a 2-tuple of `(a.ndim - 2)`` dimensionl arrays otherwise
+def det(a: _ArrayLikeComplex_co) -> Any: ...
+
+@overload
+def lstsq(a: _ArrayLikeInt_co, b: _ArrayLikeInt_co, rcond: None | float = ...) -> tuple[
+    NDArray[float64],
+    NDArray[float64],
+    int32,
+    NDArray[float64],
+]: ...
+@overload
+def lstsq(a: _ArrayLikeFloat_co, b: _ArrayLikeFloat_co, rcond: None | float = ...) -> tuple[
+    NDArray[floating[Any]],
+    NDArray[floating[Any]],
+    int32,
+    NDArray[floating[Any]],
+]: ...
+@overload
+def lstsq(a: _ArrayLikeComplex_co, b: _ArrayLikeComplex_co, rcond: None | float = ...) -> tuple[
+    NDArray[complexfloating[Any, Any]],
+    NDArray[floating[Any]],
+    int32,
+    NDArray[floating[Any]],
+]: ...
+
+@overload
+def norm(
+    x: ArrayLike,
+    ord: None | float | L["fro", "nuc"] = ...,
+    axis: None = ...,
+    keepdims: bool = ...,
+) -> floating[Any]: ...
+@overload
+def norm(
+    x: ArrayLike,
+    ord: None | float | L["fro", "nuc"] = ...,
+    axis: SupportsInt | SupportsIndex | tuple[int, ...] = ...,
+    keepdims: bool = ...,
+) -> Any: ...
+
+@overload
+def matrix_norm(
+    x: ArrayLike,
+    /,
+    *,
+    ord: None | float | L["fro", "nuc"] = ...,
+    keepdims: bool = ...,
+) -> floating[Any]: ...
+@overload
+def matrix_norm(
+    x: ArrayLike,
+    /,
+    *,
+    ord: None | float | L["fro", "nuc"] = ...,
+    keepdims: bool = ...,
+) -> Any: ...
+
+@overload
+def vector_norm(
+    x: ArrayLike,
+    /,
+    *,
+    axis: None = ...,
+    ord: None | float = ...,
+    keepdims: bool = ...,
+) -> floating[Any]: ...
+@overload
+def vector_norm(
+    x: ArrayLike,
+    /,
+    *,
+    axis: SupportsInt | SupportsIndex | tuple[int, ...] = ...,
+    ord: None | float = ...,
+    keepdims: bool = ...,
+) -> Any: ...
+
+# TODO: Returns a scalar or array
+def multi_dot(
+    arrays: Iterable[_ArrayLikeComplex_co | _ArrayLikeObject_co | _ArrayLikeTD64_co],
+    *,
+    out: None | NDArray[Any] = ...,
+) -> Any: ...
+
+def diagonal(
+    x: ArrayLike,  # >= 2D array
+    /,
+    *,
+    offset: SupportsIndex = ...,
+) -> NDArray[Any]: ...
+
+def trace(
+    x: ArrayLike,  # >= 2D array
+    /,
+    *,
+    offset: SupportsIndex = ...,
+    dtype: DTypeLike = ...,
+) -> Any: ...
+
+@overload
+def cross(
+    x1: _ArrayLikeUInt_co,
+    x2: _ArrayLikeUInt_co,
+    /,
+    *,
+    axis: int = ...,
+) -> NDArray[unsignedinteger[Any]]: ...
+@overload
+def cross(
+    x1: _ArrayLikeInt_co,
+    x2: _ArrayLikeInt_co,
+    /,
+    *,
+    axis: int = ...,
+) -> NDArray[signedinteger[Any]]: ...
+@overload
+def cross(
+    x1: _ArrayLikeFloat_co,
+    x2: _ArrayLikeFloat_co,
+    /,
+    *,
+    axis: int = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def cross(
+    x1: _ArrayLikeComplex_co,
+    x2: _ArrayLikeComplex_co,
+    /,
+    *,
+    axis: int = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+
+@overload
+def matmul(
+    x1: _ArrayLikeInt_co,
+    x2: _ArrayLikeInt_co,
+) -> NDArray[signedinteger[Any]]: ...
+@overload
+def matmul(
+    x1: _ArrayLikeUInt_co,
+    x2: _ArrayLikeUInt_co,
+) -> NDArray[unsignedinteger[Any]]: ...
+@overload
+def matmul(
+    x1: _ArrayLikeFloat_co,
+    x2: _ArrayLikeFloat_co,
+) -> NDArray[floating[Any]]: ...
+@overload
+def matmul(
+    x1: _ArrayLikeComplex_co,
+    x2: _ArrayLikeComplex_co,
+) -> NDArray[complexfloating[Any, Any]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_umath_linalg.cpython-310-x86_64-linux-gnu.so b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_umath_linalg.cpython-310-x86_64-linux-gnu.so
new file mode 100644
index 0000000000000000000000000000000000000000..ec189fbd885a51f32c3a8b495a1d8566c54dbe36
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_umath_linalg.cpython-310-x86_64-linux-gnu.so
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6bc9d5c4db6cea333d46d905e15fbcd8f541ec5b23704ca3c44547ee2ee5187
+size 227657
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_umath_linalg.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_umath_linalg.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..cd07acdb1f9ed16811bf9898a0aa02c58d95f41e
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/_umath_linalg.pyi
@@ -0,0 +1,61 @@
+from typing import Final
+from typing import Literal as L
+
+import numpy as np
+from numpy._typing._ufunc import _GUFunc_Nin2_Nout1
+
+__version__: Final[str] = ...
+_ilp64: Final[bool] = ...
+
+###
+# 1 -> 1
+
+# (m,m) -> ()
+det: Final[np.ufunc] = ...
+# (m,m) -> (m)
+cholesky_lo: Final[np.ufunc] = ...
+cholesky_up: Final[np.ufunc] = ...
+eigvals: Final[np.ufunc] = ...
+eigvalsh_lo: Final[np.ufunc] = ...
+eigvalsh_up: Final[np.ufunc] = ...
+# (m,m) -> (m,m)
+inv: Final[np.ufunc] = ...
+# (m,n) -> (p)
+qr_r_raw: Final[np.ufunc] = ...
+svd: Final[np.ufunc] = ...
+
+###
+# 1 -> 2
+
+# (m,m) -> (), ()
+slogdet: Final[np.ufunc] = ...
+# (m,m) -> (m), (m,m)
+eig: Final[np.ufunc] = ...
+eigh_lo: Final[np.ufunc] = ...
+eigh_up: Final[np.ufunc] = ...
+
+###
+# 2 -> 1
+
+# (m,n), (n) -> (m,m)
+qr_complete: Final[_GUFunc_Nin2_Nout1[L["qr_complete"], L[2], None, L["(m,n),(n)->(m,m)"]]] = ...
+# (m,n), (k) -> (m,k)
+qr_reduced: Final[_GUFunc_Nin2_Nout1[L["qr_reduced"], L[2], None, L["(m,n),(k)->(m,k)"]]] = ...
+# (m,m), (m,n) -> (m,n)
+solve: Final[_GUFunc_Nin2_Nout1[L["solve"], L[4], None, L["(m,m),(m,n)->(m,n)"]]] = ...
+# (m,m), (m) -> (m)
+solve1: Final[_GUFunc_Nin2_Nout1[L["solve1"], L[4], None, L["(m,m),(m)->(m)"]]] = ...
+
+###
+# 1 -> 3
+
+# (m,n) -> (m,m), (p), (n,n)
+svd_f: Final[np.ufunc] = ...
+# (m,n) -> (m,p), (p), (p,n)
+svd_s: Final[np.ufunc] = ...
+
+###
+# 3 -> 4
+
+# (m,n), (m,k), () -> (n,k), (k), (), (p)
+lstsq: Final[np.ufunc] = ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/lapack_lite.cpython-310-x86_64-linux-gnu.so b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/lapack_lite.cpython-310-x86_64-linux-gnu.so
new file mode 100644
index 0000000000000000000000000000000000000000..1efefb1b740506870b53375940f27918a9c5711a
Binary files /dev/null and b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/lapack_lite.cpython-310-x86_64-linux-gnu.so differ
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/lapack_lite.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/lapack_lite.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..0f6bfa3a022be08e963995b0570f82c19e56a3ad
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/lapack_lite.pyi
@@ -0,0 +1,141 @@
+from typing import Any, Final, TypedDict, type_check_only
+
+import numpy as np
+from numpy._typing import NDArray
+
+from ._linalg import fortran_int
+
+###
+
+@type_check_only
+class _GELSD(TypedDict):
+    m: int
+    n: int
+    nrhs: int
+    lda: int
+    ldb: int
+    rank: int
+    lwork: int
+    info: int
+
+@type_check_only
+class _DGELSD(_GELSD):
+    dgelsd_: int
+    rcond: float
+
+@type_check_only
+class _ZGELSD(_GELSD):
+    zgelsd_: int
+
+@type_check_only
+class _GEQRF(TypedDict):
+    m: int
+    n: int
+    lda: int
+    lwork: int
+    info: int
+
+@type_check_only
+class _DGEQRF(_GEQRF):
+    dgeqrf_: int
+
+@type_check_only
+class _ZGEQRF(_GEQRF):
+    zgeqrf_: int
+
+@type_check_only
+class _DORGQR(TypedDict):
+    dorgqr_: int
+    info: int
+
+@type_check_only
+class _ZUNGQR(TypedDict):
+    zungqr_: int
+    info: int
+
+###
+
+_ilp64: Final[bool] = ...
+
+def dgelsd(
+    m: int,
+    n: int,
+    nrhs: int,
+    a: NDArray[np.float64],
+    lda: int,
+    b: NDArray[np.float64],
+    ldb: int,
+    s: NDArray[np.float64],
+    rcond: float,
+    rank: int,
+    work: NDArray[np.float64],
+    lwork: int,
+    iwork: NDArray[fortran_int],
+    info: int,
+) -> _DGELSD: ...
+def zgelsd(
+    m: int,
+    n: int,
+    nrhs: int,
+    a: NDArray[np.complex128],
+    lda: int,
+    b: NDArray[np.complex128],
+    ldb: int,
+    s: NDArray[np.float64],
+    rcond: float,
+    rank: int,
+    work: NDArray[np.complex128],
+    lwork: int,
+    rwork: NDArray[np.float64],
+    iwork: NDArray[fortran_int],
+    info: int,
+) -> _ZGELSD: ...
+
+#
+def dgeqrf(
+    m: int,
+    n: int,
+    a: NDArray[np.float64],  # in/out, shape: (lda, n)
+    lda: int,
+    tau: NDArray[np.float64],  # out, shape: (min(m, n),)
+    work: NDArray[np.float64],  # out, shape: (max(1, lwork),)
+    lwork: int,
+    info: int,  # out
+) -> _DGEQRF: ...
+def zgeqrf(
+    m: int,
+    n: int,
+    a: NDArray[np.complex128],  # in/out, shape: (lda, n)
+    lda: int,
+    tau: NDArray[np.complex128],  # out, shape: (min(m, n),)
+    work: NDArray[np.complex128],  # out, shape: (max(1, lwork),)
+    lwork: int,
+    info: int,  # out
+) -> _ZGEQRF: ...
+
+#
+def dorgqr(
+    m: int,  # >=0
+    n: int,  # m >= n >= 0
+    k: int,  # n >= k >= 0
+    a: NDArray[np.float64],  # in/out, shape: (lda, n)
+    lda: int,  # >= max(1, m)
+    tau: NDArray[np.float64],  # in, shape: (k,)
+    work: NDArray[np.float64],  # out, shape: (max(1, lwork),)
+    lwork: int,
+    info: int,  # out
+) -> _DORGQR: ...
+def zungqr(
+    m: int,
+    n: int,
+    k: int,
+    a: NDArray[np.complex128],
+    lda: int,
+    tau: NDArray[np.complex128],
+    work: NDArray[np.complex128],
+    lwork: int,
+    info: int,
+) -> _ZUNGQR: ...
+
+#
+def xerbla(srname: object, info: int) -> None: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/linalg.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/linalg.py
new file mode 100644
index 0000000000000000000000000000000000000000..d75b07342b587a1ed0e77f43fb4f6be4e1a87a41
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/linalg.py
@@ -0,0 +1,16 @@
+def __getattr__(attr_name):
+    import warnings
+    from numpy.linalg import _linalg
+    ret = getattr(_linalg, attr_name, None)
+    if ret is None:
+        raise AttributeError(
+            f"module 'numpy.linalg.linalg' has no attribute {attr_name}")
+    warnings.warn(
+        "The numpy.linalg.linalg has been made private and renamed to "
+        "numpy.linalg._linalg. All public functions exported by it are "
+        f"available from numpy.linalg. Please use numpy.linalg.{attr_name} "
+        "instead.",
+        DeprecationWarning,
+        stacklevel=3
+    )
+    return ret
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/linalg.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/linalg.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..dbe9becfb8d51b449542039c7881e62e72bfa535
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/linalg.pyi
@@ -0,0 +1,69 @@
+from ._linalg import (
+    LinAlgError,
+    cholesky,
+    cond,
+    cross,
+    det,
+    diagonal,
+    eig,
+    eigh,
+    eigvals,
+    eigvalsh,
+    inv,
+    lstsq,
+    matmul,
+    matrix_norm,
+    matrix_power,
+    matrix_rank,
+    matrix_transpose,
+    multi_dot,
+    norm,
+    outer,
+    pinv,
+    qr,
+    slogdet,
+    solve,
+    svd,
+    svdvals,
+    tensordot,
+    tensorinv,
+    tensorsolve,
+    trace,
+    vecdot,
+    vector_norm,
+)
+
+__all__ = [
+    "LinAlgError",
+    "cholesky",
+    "cond",
+    "cross",
+    "det",
+    "diagonal",
+    "eig",
+    "eigh",
+    "eigvals",
+    "eigvalsh",
+    "inv",
+    "lstsq",
+    "matmul",
+    "matrix_norm",
+    "matrix_power",
+    "matrix_rank",
+    "matrix_transpose",
+    "multi_dot",
+    "norm",
+    "outer",
+    "pinv",
+    "qr",
+    "slogdet",
+    "solve",
+    "svd",
+    "svdvals",
+    "tensordot",
+    "tensorinv",
+    "tensorsolve",
+    "trace",
+    "vecdot",
+    "vector_norm",
+]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_deprecations.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_deprecations.py
new file mode 100644
index 0000000000000000000000000000000000000000..cd4c10832e7e7240175571605a07541f0c188f89
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_deprecations.py
@@ -0,0 +1,20 @@
+"""Test deprecation and future warnings.
+
+"""
+import numpy as np
+from numpy.testing import assert_warns
+
+
+def test_qr_mode_full_future_warning():
+    """Check mode='full' FutureWarning.
+
+    In numpy 1.8 the mode options 'full' and 'economic' in linalg.qr were
+    deprecated. The release date will probably be sometime in the summer
+    of 2013.
+
+    """
+    a = np.eye(2)
+    assert_warns(DeprecationWarning, np.linalg.qr, a, mode='full')
+    assert_warns(DeprecationWarning, np.linalg.qr, a, mode='f')
+    assert_warns(DeprecationWarning, np.linalg.qr, a, mode='economic')
+    assert_warns(DeprecationWarning, np.linalg.qr, a, mode='e')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_linalg.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_linalg.py
new file mode 100644
index 0000000000000000000000000000000000000000..0745654a07309eff196cf22c6b72832427e9c667
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_linalg.py
@@ -0,0 +1,2386 @@
+""" Test functions for linalg module
+
+"""
+import os
+import sys
+import itertools
+import threading
+import traceback
+import textwrap
+import subprocess
+import pytest
+
+import numpy as np
+from numpy import array, single, double, csingle, cdouble, dot, identity, matmul
+from numpy._core import swapaxes
+from numpy.exceptions import AxisError
+from numpy import multiply, atleast_2d, inf, asarray
+from numpy import linalg
+from numpy.linalg import matrix_power, norm, matrix_rank, multi_dot, LinAlgError
+from numpy.linalg._linalg import _multi_dot_matrix_chain_order
+from numpy.testing import (
+    assert_, assert_equal, assert_raises, assert_array_equal,
+    assert_almost_equal, assert_allclose, suppress_warnings,
+    assert_raises_regex, HAS_LAPACK64, IS_WASM
+    )
+try:
+    import numpy.linalg.lapack_lite
+except ImportError:
+    # May be broken when numpy was built without BLAS/LAPACK present
+    # If so, ensure we don't break the whole test suite - the `lapack_lite`
+    # submodule should be removed, it's only used in two tests in this file.
+    pass
+
+
+def consistent_subclass(out, in_):
+    # For ndarray subclass input, our output should have the same subclass
+    # (non-ndarray input gets converted to ndarray).
+    return type(out) is (type(in_) if isinstance(in_, np.ndarray)
+                         else np.ndarray)
+
+
+old_assert_almost_equal = assert_almost_equal
+
+
+def assert_almost_equal(a, b, single_decimal=6, double_decimal=12, **kw):
+    if asarray(a).dtype.type in (single, csingle):
+        decimal = single_decimal
+    else:
+        decimal = double_decimal
+    old_assert_almost_equal(a, b, decimal=decimal, **kw)
+
+
+def get_real_dtype(dtype):
+    return {single: single, double: double,
+            csingle: single, cdouble: double}[dtype]
+
+
+def get_complex_dtype(dtype):
+    return {single: csingle, double: cdouble,
+            csingle: csingle, cdouble: cdouble}[dtype]
+
+
+def get_rtol(dtype):
+    # Choose a safe rtol
+    if dtype in (single, csingle):
+        return 1e-5
+    else:
+        return 1e-11
+
+
+# used to categorize tests
+all_tags = {
+  'square', 'nonsquare', 'hermitian',  # mutually exclusive
+  'generalized', 'size-0', 'strided' # optional additions
+}
+
+
+class LinalgCase:
+    def __init__(self, name, a, b, tags=set()):
+        """
+        A bundle of arguments to be passed to a test case, with an identifying
+        name, the operands a and b, and a set of tags to filter the tests
+        """
+        assert_(isinstance(name, str))
+        self.name = name
+        self.a = a
+        self.b = b
+        self.tags = frozenset(tags)  # prevent shared tags
+
+    def check(self, do):
+        """
+        Run the function `do` on this test case, expanding arguments
+        """
+        do(self.a, self.b, tags=self.tags)
+
+    def __repr__(self):
+        return f''
+
+
+def apply_tag(tag, cases):
+    """
+    Add the given tag (a string) to each of the cases (a list of LinalgCase
+    objects)
+    """
+    assert tag in all_tags, "Invalid tag"
+    for case in cases:
+        case.tags = case.tags | {tag}
+    return cases
+
+
+#
+# Base test cases
+#
+
+np.random.seed(1234)
+
+CASES = []
+
+# square test cases
+CASES += apply_tag('square', [
+    LinalgCase("single",
+               array([[1., 2.], [3., 4.]], dtype=single),
+               array([2., 1.], dtype=single)),
+    LinalgCase("double",
+               array([[1., 2.], [3., 4.]], dtype=double),
+               array([2., 1.], dtype=double)),
+    LinalgCase("double_2",
+               array([[1., 2.], [3., 4.]], dtype=double),
+               array([[2., 1., 4.], [3., 4., 6.]], dtype=double)),
+    LinalgCase("csingle",
+               array([[1. + 2j, 2 + 3j], [3 + 4j, 4 + 5j]], dtype=csingle),
+               array([2. + 1j, 1. + 2j], dtype=csingle)),
+    LinalgCase("cdouble",
+               array([[1. + 2j, 2 + 3j], [3 + 4j, 4 + 5j]], dtype=cdouble),
+               array([2. + 1j, 1. + 2j], dtype=cdouble)),
+    LinalgCase("cdouble_2",
+               array([[1. + 2j, 2 + 3j], [3 + 4j, 4 + 5j]], dtype=cdouble),
+               array([[2. + 1j, 1. + 2j, 1 + 3j], [1 - 2j, 1 - 3j, 1 - 6j]], dtype=cdouble)),
+    LinalgCase("0x0",
+               np.empty((0, 0), dtype=double),
+               np.empty((0,), dtype=double),
+               tags={'size-0'}),
+    LinalgCase("8x8",
+               np.random.rand(8, 8),
+               np.random.rand(8)),
+    LinalgCase("1x1",
+               np.random.rand(1, 1),
+               np.random.rand(1)),
+    LinalgCase("nonarray",
+               [[1, 2], [3, 4]],
+               [2, 1]),
+])
+
+# non-square test-cases
+CASES += apply_tag('nonsquare', [
+    LinalgCase("single_nsq_1",
+               array([[1., 2., 3.], [3., 4., 6.]], dtype=single),
+               array([2., 1.], dtype=single)),
+    LinalgCase("single_nsq_2",
+               array([[1., 2.], [3., 4.], [5., 6.]], dtype=single),
+               array([2., 1., 3.], dtype=single)),
+    LinalgCase("double_nsq_1",
+               array([[1., 2., 3.], [3., 4., 6.]], dtype=double),
+               array([2., 1.], dtype=double)),
+    LinalgCase("double_nsq_2",
+               array([[1., 2.], [3., 4.], [5., 6.]], dtype=double),
+               array([2., 1., 3.], dtype=double)),
+    LinalgCase("csingle_nsq_1",
+               array(
+                   [[1. + 1j, 2. + 2j, 3. - 3j], [3. - 5j, 4. + 9j, 6. + 2j]], dtype=csingle),
+               array([2. + 1j, 1. + 2j], dtype=csingle)),
+    LinalgCase("csingle_nsq_2",
+               array(
+                   [[1. + 1j, 2. + 2j], [3. - 3j, 4. - 9j], [5. - 4j, 6. + 8j]], dtype=csingle),
+               array([2. + 1j, 1. + 2j, 3. - 3j], dtype=csingle)),
+    LinalgCase("cdouble_nsq_1",
+               array(
+                   [[1. + 1j, 2. + 2j, 3. - 3j], [3. - 5j, 4. + 9j, 6. + 2j]], dtype=cdouble),
+               array([2. + 1j, 1. + 2j], dtype=cdouble)),
+    LinalgCase("cdouble_nsq_2",
+               array(
+                   [[1. + 1j, 2. + 2j], [3. - 3j, 4. - 9j], [5. - 4j, 6. + 8j]], dtype=cdouble),
+               array([2. + 1j, 1. + 2j, 3. - 3j], dtype=cdouble)),
+    LinalgCase("cdouble_nsq_1_2",
+               array(
+                   [[1. + 1j, 2. + 2j, 3. - 3j], [3. - 5j, 4. + 9j, 6. + 2j]], dtype=cdouble),
+               array([[2. + 1j, 1. + 2j], [1 - 1j, 2 - 2j]], dtype=cdouble)),
+    LinalgCase("cdouble_nsq_2_2",
+               array(
+                   [[1. + 1j, 2. + 2j], [3. - 3j, 4. - 9j], [5. - 4j, 6. + 8j]], dtype=cdouble),
+               array([[2. + 1j, 1. + 2j], [1 - 1j, 2 - 2j], [1 - 1j, 2 - 2j]], dtype=cdouble)),
+    LinalgCase("8x11",
+               np.random.rand(8, 11),
+               np.random.rand(8)),
+    LinalgCase("1x5",
+               np.random.rand(1, 5),
+               np.random.rand(1)),
+    LinalgCase("5x1",
+               np.random.rand(5, 1),
+               np.random.rand(5)),
+    LinalgCase("0x4",
+               np.random.rand(0, 4),
+               np.random.rand(0),
+               tags={'size-0'}),
+    LinalgCase("4x0",
+               np.random.rand(4, 0),
+               np.random.rand(4),
+               tags={'size-0'}),
+])
+
+# hermitian test-cases
+CASES += apply_tag('hermitian', [
+    LinalgCase("hsingle",
+               array([[1., 2.], [2., 1.]], dtype=single),
+               None),
+    LinalgCase("hdouble",
+               array([[1., 2.], [2., 1.]], dtype=double),
+               None),
+    LinalgCase("hcsingle",
+               array([[1., 2 + 3j], [2 - 3j, 1]], dtype=csingle),
+               None),
+    LinalgCase("hcdouble",
+               array([[1., 2 + 3j], [2 - 3j, 1]], dtype=cdouble),
+               None),
+    LinalgCase("hempty",
+               np.empty((0, 0), dtype=double),
+               None,
+               tags={'size-0'}),
+    LinalgCase("hnonarray",
+               [[1, 2], [2, 1]],
+               None),
+    LinalgCase("matrix_b_only",
+               array([[1., 2.], [2., 1.]]),
+               None),
+    LinalgCase("hmatrix_1x1",
+               np.random.rand(1, 1),
+               None),
+])
+
+
+#
+# Gufunc test cases
+#
+def _make_generalized_cases():
+    new_cases = []
+
+    for case in CASES:
+        if not isinstance(case.a, np.ndarray):
+            continue
+
+        a = np.array([case.a, 2 * case.a, 3 * case.a])
+        if case.b is None:
+            b = None
+        elif case.b.ndim == 1:
+            b = case.b
+        else:
+            b = np.array([case.b, 7 * case.b, 6 * case.b])
+        new_case = LinalgCase(case.name + "_tile3", a, b,
+                              tags=case.tags | {'generalized'})
+        new_cases.append(new_case)
+
+        a = np.array([case.a] * 2 * 3).reshape((3, 2) + case.a.shape)
+        if case.b is None:
+            b = None
+        elif case.b.ndim == 1:
+            b = np.array([case.b] * 2 * 3 * a.shape[-1])\
+                  .reshape((3, 2) + case.a.shape[-2:])
+        else:
+            b = np.array([case.b] * 2 * 3).reshape((3, 2) + case.b.shape)
+        new_case = LinalgCase(case.name + "_tile213", a, b,
+                              tags=case.tags | {'generalized'})
+        new_cases.append(new_case)
+
+    return new_cases
+
+
+CASES += _make_generalized_cases()
+
+
+#
+# Generate stride combination variations of the above
+#
+def _stride_comb_iter(x):
+    """
+    Generate cartesian product of strides for all axes
+    """
+
+    if not isinstance(x, np.ndarray):
+        yield x, "nop"
+        return
+
+    stride_set = [(1,)] * x.ndim
+    stride_set[-1] = (1, 3, -4)
+    if x.ndim > 1:
+        stride_set[-2] = (1, 3, -4)
+    if x.ndim > 2:
+        stride_set[-3] = (1, -4)
+
+    for repeats in itertools.product(*tuple(stride_set)):
+        new_shape = [abs(a * b) for a, b in zip(x.shape, repeats)]
+        slices = tuple([slice(None, None, repeat) for repeat in repeats])
+
+        # new array with different strides, but same data
+        xi = np.empty(new_shape, dtype=x.dtype)
+        xi.view(np.uint32).fill(0xdeadbeef)
+        xi = xi[slices]
+        xi[...] = x
+        xi = xi.view(x.__class__)
+        assert_(np.all(xi == x))
+        yield xi, "stride_" + "_".join(["%+d" % j for j in repeats])
+
+        # generate also zero strides if possible
+        if x.ndim >= 1 and x.shape[-1] == 1:
+            s = list(x.strides)
+            s[-1] = 0
+            xi = np.lib.stride_tricks.as_strided(x, strides=s)
+            yield xi, "stride_xxx_0"
+        if x.ndim >= 2 and x.shape[-2] == 1:
+            s = list(x.strides)
+            s[-2] = 0
+            xi = np.lib.stride_tricks.as_strided(x, strides=s)
+            yield xi, "stride_xxx_0_x"
+        if x.ndim >= 2 and x.shape[:-2] == (1, 1):
+            s = list(x.strides)
+            s[-1] = 0
+            s[-2] = 0
+            xi = np.lib.stride_tricks.as_strided(x, strides=s)
+            yield xi, "stride_xxx_0_0"
+
+
+def _make_strided_cases():
+    new_cases = []
+    for case in CASES:
+        for a, a_label in _stride_comb_iter(case.a):
+            for b, b_label in _stride_comb_iter(case.b):
+                new_case = LinalgCase(case.name + "_" + a_label + "_" + b_label, a, b,
+                                      tags=case.tags | {'strided'})
+                new_cases.append(new_case)
+    return new_cases
+
+
+CASES += _make_strided_cases()
+
+
+#
+# Test different routines against the above cases
+#
+class LinalgTestCase:
+    TEST_CASES = CASES
+
+    def check_cases(self, require=set(), exclude=set()):
+        """
+        Run func on each of the cases with all of the tags in require, and none
+        of the tags in exclude
+        """
+        for case in self.TEST_CASES:
+            # filter by require and exclude
+            if case.tags & require != require:
+                continue
+            if case.tags & exclude:
+                continue
+
+            try:
+                case.check(self.do)
+            except Exception as e:
+                msg = f'In test case: {case!r}\n\n'
+                msg += traceback.format_exc()
+                raise AssertionError(msg) from e
+
+
+class LinalgSquareTestCase(LinalgTestCase):
+
+    def test_sq_cases(self):
+        self.check_cases(require={'square'},
+                         exclude={'generalized', 'size-0'})
+
+    def test_empty_sq_cases(self):
+        self.check_cases(require={'square', 'size-0'},
+                         exclude={'generalized'})
+
+
+class LinalgNonsquareTestCase(LinalgTestCase):
+
+    def test_nonsq_cases(self):
+        self.check_cases(require={'nonsquare'},
+                         exclude={'generalized', 'size-0'})
+
+    def test_empty_nonsq_cases(self):
+        self.check_cases(require={'nonsquare', 'size-0'},
+                         exclude={'generalized'})
+
+
+class HermitianTestCase(LinalgTestCase):
+
+    def test_herm_cases(self):
+        self.check_cases(require={'hermitian'},
+                         exclude={'generalized', 'size-0'})
+
+    def test_empty_herm_cases(self):
+        self.check_cases(require={'hermitian', 'size-0'},
+                         exclude={'generalized'})
+
+
+class LinalgGeneralizedSquareTestCase(LinalgTestCase):
+
+    @pytest.mark.slow
+    def test_generalized_sq_cases(self):
+        self.check_cases(require={'generalized', 'square'},
+                         exclude={'size-0'})
+
+    @pytest.mark.slow
+    def test_generalized_empty_sq_cases(self):
+        self.check_cases(require={'generalized', 'square', 'size-0'})
+
+
+class LinalgGeneralizedNonsquareTestCase(LinalgTestCase):
+
+    @pytest.mark.slow
+    def test_generalized_nonsq_cases(self):
+        self.check_cases(require={'generalized', 'nonsquare'},
+                         exclude={'size-0'})
+
+    @pytest.mark.slow
+    def test_generalized_empty_nonsq_cases(self):
+        self.check_cases(require={'generalized', 'nonsquare', 'size-0'})
+
+
+class HermitianGeneralizedTestCase(LinalgTestCase):
+
+    @pytest.mark.slow
+    def test_generalized_herm_cases(self):
+        self.check_cases(require={'generalized', 'hermitian'},
+                         exclude={'size-0'})
+
+    @pytest.mark.slow
+    def test_generalized_empty_herm_cases(self):
+        self.check_cases(require={'generalized', 'hermitian', 'size-0'},
+                         exclude={'none'})
+
+
+def identity_like_generalized(a):
+    a = asarray(a)
+    if a.ndim >= 3:
+        r = np.empty(a.shape, dtype=a.dtype)
+        r[...] = identity(a.shape[-2])
+        return r
+    else:
+        return identity(a.shape[0])
+
+
+class SolveCases(LinalgSquareTestCase, LinalgGeneralizedSquareTestCase):
+    # kept apart from TestSolve for use for testing with matrices.
+    def do(self, a, b, tags):
+        x = linalg.solve(a, b)
+        if np.array(b).ndim == 1:
+            # When a is (..., M, M) and b is (M,), it is the same as when b is
+            # (M, 1), except the result has shape (..., M)
+            adotx = matmul(a, x[..., None])[..., 0]
+            assert_almost_equal(np.broadcast_to(b, adotx.shape), adotx)
+        else:
+            adotx = matmul(a, x)
+            assert_almost_equal(b, adotx)
+        assert_(consistent_subclass(x, b))
+
+
+class TestSolve(SolveCases):
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        assert_equal(linalg.solve(x, x).dtype, dtype)
+
+    def test_1_d(self):
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.arange(8).reshape(2, 2, 2)
+        b = np.arange(2).view(ArraySubclass)
+        result = linalg.solve(a, b)
+        assert result.shape == (2, 2)
+
+        # If b is anything other than 1-D it should be treated as a stack of
+        # matrices
+        b = np.arange(4).reshape(2, 2).view(ArraySubclass)
+        result = linalg.solve(a, b)
+        assert result.shape == (2, 2, 2)
+
+        b = np.arange(2).reshape(1, 2).view(ArraySubclass)
+        assert_raises(ValueError, linalg.solve, a, b)
+
+    def test_0_size(self):
+        class ArraySubclass(np.ndarray):
+            pass
+        # Test system of 0x0 matrices
+        a = np.arange(8).reshape(2, 2, 2)
+        b = np.arange(6).reshape(1, 2, 3).view(ArraySubclass)
+
+        expected = linalg.solve(a, b)[:, 0:0, :]
+        result = linalg.solve(a[:, 0:0, 0:0], b[:, 0:0, :])
+        assert_array_equal(result, expected)
+        assert_(isinstance(result, ArraySubclass))
+
+        # Test errors for non-square and only b's dimension being 0
+        assert_raises(linalg.LinAlgError, linalg.solve, a[:, 0:0, 0:1], b)
+        assert_raises(ValueError, linalg.solve, a, b[:, 0:0, :])
+
+        # Test broadcasting error
+        b = np.arange(6).reshape(1, 3, 2)  # broadcasting error
+        assert_raises(ValueError, linalg.solve, a, b)
+        assert_raises(ValueError, linalg.solve, a[0:0], b[0:0])
+
+        # Test zero "single equations" with 0x0 matrices.
+        b = np.arange(2).view(ArraySubclass)
+        expected = linalg.solve(a, b)[:, 0:0]
+        result = linalg.solve(a[:, 0:0, 0:0], b[0:0])
+        assert_array_equal(result, expected)
+        assert_(isinstance(result, ArraySubclass))
+
+        b = np.arange(3).reshape(1, 3)
+        assert_raises(ValueError, linalg.solve, a, b)
+        assert_raises(ValueError, linalg.solve, a[0:0], b[0:0])
+        assert_raises(ValueError, linalg.solve, a[:, 0:0, 0:0], b)
+
+    def test_0_size_k(self):
+        # test zero multiple equation (K=0) case.
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.arange(4).reshape(1, 2, 2)
+        b = np.arange(6).reshape(3, 2, 1).view(ArraySubclass)
+
+        expected = linalg.solve(a, b)[:, :, 0:0]
+        result = linalg.solve(a, b[:, :, 0:0])
+        assert_array_equal(result, expected)
+        assert_(isinstance(result, ArraySubclass))
+
+        # test both zero.
+        expected = linalg.solve(a, b)[:, 0:0, 0:0]
+        result = linalg.solve(a[:, 0:0, 0:0], b[:, 0:0, 0:0])
+        assert_array_equal(result, expected)
+        assert_(isinstance(result, ArraySubclass))
+
+
+class InvCases(LinalgSquareTestCase, LinalgGeneralizedSquareTestCase):
+
+    def do(self, a, b, tags):
+        a_inv = linalg.inv(a)
+        assert_almost_equal(matmul(a, a_inv),
+                            identity_like_generalized(a))
+        assert_(consistent_subclass(a_inv, a))
+
+
+class TestInv(InvCases):
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        assert_equal(linalg.inv(x).dtype, dtype)
+
+    def test_0_size(self):
+        # Check that all kinds of 0-sized arrays work
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.zeros((0, 1, 1), dtype=np.int_).view(ArraySubclass)
+        res = linalg.inv(a)
+        assert_(res.dtype.type is np.float64)
+        assert_equal(a.shape, res.shape)
+        assert_(isinstance(res, ArraySubclass))
+
+        a = np.zeros((0, 0), dtype=np.complex64).view(ArraySubclass)
+        res = linalg.inv(a)
+        assert_(res.dtype.type is np.complex64)
+        assert_equal(a.shape, res.shape)
+        assert_(isinstance(res, ArraySubclass))
+
+
+class EigvalsCases(LinalgSquareTestCase, LinalgGeneralizedSquareTestCase):
+
+    def do(self, a, b, tags):
+        ev = linalg.eigvals(a)
+        evalues, evectors = linalg.eig(a)
+        assert_almost_equal(ev, evalues)
+
+
+class TestEigvals(EigvalsCases):
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        assert_equal(linalg.eigvals(x).dtype, dtype)
+        x = np.array([[1, 0.5], [-1, 1]], dtype=dtype)
+        assert_equal(linalg.eigvals(x).dtype, get_complex_dtype(dtype))
+
+    def test_0_size(self):
+        # Check that all kinds of 0-sized arrays work
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.zeros((0, 1, 1), dtype=np.int_).view(ArraySubclass)
+        res = linalg.eigvals(a)
+        assert_(res.dtype.type is np.float64)
+        assert_equal((0, 1), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(res, np.ndarray))
+
+        a = np.zeros((0, 0), dtype=np.complex64).view(ArraySubclass)
+        res = linalg.eigvals(a)
+        assert_(res.dtype.type is np.complex64)
+        assert_equal((0,), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(res, np.ndarray))
+
+
+class EigCases(LinalgSquareTestCase, LinalgGeneralizedSquareTestCase):
+
+    def do(self, a, b, tags):
+        res = linalg.eig(a)
+        eigenvalues, eigenvectors = res.eigenvalues, res.eigenvectors
+        assert_allclose(matmul(a, eigenvectors),
+                        np.asarray(eigenvectors) * np.asarray(eigenvalues)[..., None, :],
+                        rtol=get_rtol(eigenvalues.dtype))
+        assert_(consistent_subclass(eigenvectors, a))
+
+
+class TestEig(EigCases):
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        w, v = np.linalg.eig(x)
+        assert_equal(w.dtype, dtype)
+        assert_equal(v.dtype, dtype)
+
+        x = np.array([[1, 0.5], [-1, 1]], dtype=dtype)
+        w, v = np.linalg.eig(x)
+        assert_equal(w.dtype, get_complex_dtype(dtype))
+        assert_equal(v.dtype, get_complex_dtype(dtype))
+
+    def test_0_size(self):
+        # Check that all kinds of 0-sized arrays work
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.zeros((0, 1, 1), dtype=np.int_).view(ArraySubclass)
+        res, res_v = linalg.eig(a)
+        assert_(res_v.dtype.type is np.float64)
+        assert_(res.dtype.type is np.float64)
+        assert_equal(a.shape, res_v.shape)
+        assert_equal((0, 1), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(a, np.ndarray))
+
+        a = np.zeros((0, 0), dtype=np.complex64).view(ArraySubclass)
+        res, res_v = linalg.eig(a)
+        assert_(res_v.dtype.type is np.complex64)
+        assert_(res.dtype.type is np.complex64)
+        assert_equal(a.shape, res_v.shape)
+        assert_equal((0,), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(a, np.ndarray))
+
+
+class SVDBaseTests:
+    hermitian = False
+
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        res = linalg.svd(x)
+        U, S, Vh = res.U, res.S, res.Vh
+        assert_equal(U.dtype, dtype)
+        assert_equal(S.dtype, get_real_dtype(dtype))
+        assert_equal(Vh.dtype, dtype)
+        s = linalg.svd(x, compute_uv=False, hermitian=self.hermitian)
+        assert_equal(s.dtype, get_real_dtype(dtype))
+
+
+class SVDCases(LinalgSquareTestCase, LinalgGeneralizedSquareTestCase):
+
+    def do(self, a, b, tags):
+        u, s, vt = linalg.svd(a, False)
+        assert_allclose(a, matmul(np.asarray(u) * np.asarray(s)[..., None, :],
+                                           np.asarray(vt)),
+                        rtol=get_rtol(u.dtype))
+        assert_(consistent_subclass(u, a))
+        assert_(consistent_subclass(vt, a))
+
+
+class TestSVD(SVDCases, SVDBaseTests):
+    def test_empty_identity(self):
+        """ Empty input should put an identity matrix in u or vh """
+        x = np.empty((4, 0))
+        u, s, vh = linalg.svd(x, compute_uv=True, hermitian=self.hermitian)
+        assert_equal(u.shape, (4, 4))
+        assert_equal(vh.shape, (0, 0))
+        assert_equal(u, np.eye(4))
+
+        x = np.empty((0, 4))
+        u, s, vh = linalg.svd(x, compute_uv=True, hermitian=self.hermitian)
+        assert_equal(u.shape, (0, 0))
+        assert_equal(vh.shape, (4, 4))
+        assert_equal(vh, np.eye(4))
+
+    def test_svdvals(self):
+        x = np.array([[1, 0.5], [0.5, 1]])
+        s_from_svd = linalg.svd(x, compute_uv=False, hermitian=self.hermitian)
+        s_from_svdvals = linalg.svdvals(x)
+        assert_almost_equal(s_from_svd, s_from_svdvals)
+
+
+class SVDHermitianCases(HermitianTestCase, HermitianGeneralizedTestCase):
+
+    def do(self, a, b, tags):
+        u, s, vt = linalg.svd(a, False, hermitian=True)
+        assert_allclose(a, matmul(np.asarray(u) * np.asarray(s)[..., None, :],
+                                           np.asarray(vt)),
+                        rtol=get_rtol(u.dtype))
+        def hermitian(mat):
+            axes = list(range(mat.ndim))
+            axes[-1], axes[-2] = axes[-2], axes[-1]
+            return np.conj(np.transpose(mat, axes=axes))
+
+        assert_almost_equal(np.matmul(u, hermitian(u)), np.broadcast_to(np.eye(u.shape[-1]), u.shape))
+        assert_almost_equal(np.matmul(vt, hermitian(vt)), np.broadcast_to(np.eye(vt.shape[-1]), vt.shape))
+        assert_equal(np.sort(s)[..., ::-1], s)
+        assert_(consistent_subclass(u, a))
+        assert_(consistent_subclass(vt, a))
+
+
+class TestSVDHermitian(SVDHermitianCases, SVDBaseTests):
+    hermitian = True
+
+
+class CondCases(LinalgSquareTestCase, LinalgGeneralizedSquareTestCase):
+    # cond(x, p) for p in (None, 2, -2)
+
+    def do(self, a, b, tags):
+        c = asarray(a)  # a might be a matrix
+        if 'size-0' in tags:
+            assert_raises(LinAlgError, linalg.cond, c)
+            return
+
+        # +-2 norms
+        s = linalg.svd(c, compute_uv=False)
+        assert_almost_equal(
+            linalg.cond(a), s[..., 0] / s[..., -1],
+            single_decimal=5, double_decimal=11)
+        assert_almost_equal(
+            linalg.cond(a, 2), s[..., 0] / s[..., -1],
+            single_decimal=5, double_decimal=11)
+        assert_almost_equal(
+            linalg.cond(a, -2), s[..., -1] / s[..., 0],
+            single_decimal=5, double_decimal=11)
+
+        # Other norms
+        cinv = np.linalg.inv(c)
+        assert_almost_equal(
+            linalg.cond(a, 1),
+            abs(c).sum(-2).max(-1) * abs(cinv).sum(-2).max(-1),
+            single_decimal=5, double_decimal=11)
+        assert_almost_equal(
+            linalg.cond(a, -1),
+            abs(c).sum(-2).min(-1) * abs(cinv).sum(-2).min(-1),
+            single_decimal=5, double_decimal=11)
+        assert_almost_equal(
+            linalg.cond(a, np.inf),
+            abs(c).sum(-1).max(-1) * abs(cinv).sum(-1).max(-1),
+            single_decimal=5, double_decimal=11)
+        assert_almost_equal(
+            linalg.cond(a, -np.inf),
+            abs(c).sum(-1).min(-1) * abs(cinv).sum(-1).min(-1),
+            single_decimal=5, double_decimal=11)
+        assert_almost_equal(
+            linalg.cond(a, 'fro'),
+            np.sqrt((abs(c)**2).sum(-1).sum(-1)
+                    * (abs(cinv)**2).sum(-1).sum(-1)),
+            single_decimal=5, double_decimal=11)
+
+
+class TestCond(CondCases):
+    def test_basic_nonsvd(self):
+        # Smoketest the non-svd norms
+        A = array([[1., 0, 1], [0, -2., 0], [0, 0, 3.]])
+        assert_almost_equal(linalg.cond(A, inf), 4)
+        assert_almost_equal(linalg.cond(A, -inf), 2/3)
+        assert_almost_equal(linalg.cond(A, 1), 4)
+        assert_almost_equal(linalg.cond(A, -1), 0.5)
+        assert_almost_equal(linalg.cond(A, 'fro'), np.sqrt(265 / 12))
+
+    def test_singular(self):
+        # Singular matrices have infinite condition number for
+        # positive norms, and negative norms shouldn't raise
+        # exceptions
+        As = [np.zeros((2, 2)), np.ones((2, 2))]
+        p_pos = [None, 1, 2, 'fro']
+        p_neg = [-1, -2]
+        for A, p in itertools.product(As, p_pos):
+            # Inversion may not hit exact infinity, so just check the
+            # number is large
+            assert_(linalg.cond(A, p) > 1e15)
+        for A, p in itertools.product(As, p_neg):
+            linalg.cond(A, p)
+
+    @pytest.mark.xfail(True, run=False,
+                       reason="Platform/LAPACK-dependent failure, "
+                              "see gh-18914")
+    def test_nan(self):
+        # nans should be passed through, not converted to infs
+        ps = [None, 1, -1, 2, -2, 'fro']
+        p_pos = [None, 1, 2, 'fro']
+
+        A = np.ones((2, 2))
+        A[0,1] = np.nan
+        for p in ps:
+            c = linalg.cond(A, p)
+            assert_(isinstance(c, np.float64))
+            assert_(np.isnan(c))
+
+        A = np.ones((3, 2, 2))
+        A[1,0,1] = np.nan
+        for p in ps:
+            c = linalg.cond(A, p)
+            assert_(np.isnan(c[1]))
+            if p in p_pos:
+                assert_(c[0] > 1e15)
+                assert_(c[2] > 1e15)
+            else:
+                assert_(not np.isnan(c[0]))
+                assert_(not np.isnan(c[2]))
+
+    def test_stacked_singular(self):
+        # Check behavior when only some of the stacked matrices are
+        # singular
+        np.random.seed(1234)
+        A = np.random.rand(2, 2, 2, 2)
+        A[0,0] = 0
+        A[1,1] = 0
+
+        for p in (None, 1, 2, 'fro', -1, -2):
+            c = linalg.cond(A, p)
+            assert_equal(c[0,0], np.inf)
+            assert_equal(c[1,1], np.inf)
+            assert_(np.isfinite(c[0,1]))
+            assert_(np.isfinite(c[1,0]))
+
+
+class PinvCases(LinalgSquareTestCase,
+                LinalgNonsquareTestCase,
+                LinalgGeneralizedSquareTestCase,
+                LinalgGeneralizedNonsquareTestCase):
+
+    def do(self, a, b, tags):
+        a_ginv = linalg.pinv(a)
+        # `a @ a_ginv == I` does not hold if a is singular
+        dot = matmul
+        assert_almost_equal(dot(dot(a, a_ginv), a), a, single_decimal=5, double_decimal=11)
+        assert_(consistent_subclass(a_ginv, a))
+
+
+class TestPinv(PinvCases):
+    pass
+
+
+class PinvHermitianCases(HermitianTestCase, HermitianGeneralizedTestCase):
+
+    def do(self, a, b, tags):
+        a_ginv = linalg.pinv(a, hermitian=True)
+        # `a @ a_ginv == I` does not hold if a is singular
+        dot = matmul
+        assert_almost_equal(dot(dot(a, a_ginv), a), a, single_decimal=5, double_decimal=11)
+        assert_(consistent_subclass(a_ginv, a))
+
+
+class TestPinvHermitian(PinvHermitianCases):
+    pass
+
+
+def test_pinv_rtol_arg():
+    a = np.array([[1, 2, 3], [4, 1, 1], [2, 3, 1]])
+
+    assert_almost_equal(
+        np.linalg.pinv(a, rcond=0.5),
+        np.linalg.pinv(a, rtol=0.5),
+    )
+
+    with pytest.raises(
+        ValueError, match=r"`rtol` and `rcond` can't be both set."
+    ):
+        np.linalg.pinv(a, rcond=0.5, rtol=0.5)
+
+
+class DetCases(LinalgSquareTestCase, LinalgGeneralizedSquareTestCase):
+
+    def do(self, a, b, tags):
+        d = linalg.det(a)
+        res = linalg.slogdet(a)
+        s, ld = res.sign, res.logabsdet
+        if asarray(a).dtype.type in (single, double):
+            ad = asarray(a).astype(double)
+        else:
+            ad = asarray(a).astype(cdouble)
+        ev = linalg.eigvals(ad)
+        assert_almost_equal(d, multiply.reduce(ev, axis=-1))
+        assert_almost_equal(s * np.exp(ld), multiply.reduce(ev, axis=-1))
+
+        s = np.atleast_1d(s)
+        ld = np.atleast_1d(ld)
+        m = (s != 0)
+        assert_almost_equal(np.abs(s[m]), 1)
+        assert_equal(ld[~m], -inf)
+
+
+class TestDet(DetCases):
+    def test_zero(self):
+        assert_equal(linalg.det([[0.0]]), 0.0)
+        assert_equal(type(linalg.det([[0.0]])), double)
+        assert_equal(linalg.det([[0.0j]]), 0.0)
+        assert_equal(type(linalg.det([[0.0j]])), cdouble)
+
+        assert_equal(linalg.slogdet([[0.0]]), (0.0, -inf))
+        assert_equal(type(linalg.slogdet([[0.0]])[0]), double)
+        assert_equal(type(linalg.slogdet([[0.0]])[1]), double)
+        assert_equal(linalg.slogdet([[0.0j]]), (0.0j, -inf))
+        assert_equal(type(linalg.slogdet([[0.0j]])[0]), cdouble)
+        assert_equal(type(linalg.slogdet([[0.0j]])[1]), double)
+
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        assert_equal(np.linalg.det(x).dtype, dtype)
+        ph, s = np.linalg.slogdet(x)
+        assert_equal(s.dtype, get_real_dtype(dtype))
+        assert_equal(ph.dtype, dtype)
+
+    def test_0_size(self):
+        a = np.zeros((0, 0), dtype=np.complex64)
+        res = linalg.det(a)
+        assert_equal(res, 1.)
+        assert_(res.dtype.type is np.complex64)
+        res = linalg.slogdet(a)
+        assert_equal(res, (1, 0))
+        assert_(res[0].dtype.type is np.complex64)
+        assert_(res[1].dtype.type is np.float32)
+
+        a = np.zeros((0, 0), dtype=np.float64)
+        res = linalg.det(a)
+        assert_equal(res, 1.)
+        assert_(res.dtype.type is np.float64)
+        res = linalg.slogdet(a)
+        assert_equal(res, (1, 0))
+        assert_(res[0].dtype.type is np.float64)
+        assert_(res[1].dtype.type is np.float64)
+
+
+class LstsqCases(LinalgSquareTestCase, LinalgNonsquareTestCase):
+
+    def do(self, a, b, tags):
+        arr = np.asarray(a)
+        m, n = arr.shape
+        u, s, vt = linalg.svd(a, False)
+        x, residuals, rank, sv = linalg.lstsq(a, b, rcond=-1)
+        if m == 0:
+            assert_((x == 0).all())
+        if m <= n:
+            assert_almost_equal(b, dot(a, x))
+            assert_equal(rank, m)
+        else:
+            assert_equal(rank, n)
+        assert_almost_equal(sv, sv.__array_wrap__(s))
+        if rank == n and m > n:
+            expect_resids = (
+                np.asarray(abs(np.dot(a, x) - b)) ** 2).sum(axis=0)
+            expect_resids = np.asarray(expect_resids)
+            if np.asarray(b).ndim == 1:
+                expect_resids.shape = (1,)
+                assert_equal(residuals.shape, expect_resids.shape)
+        else:
+            expect_resids = np.array([]).view(type(x))
+        assert_almost_equal(residuals, expect_resids)
+        assert_(np.issubdtype(residuals.dtype, np.floating))
+        assert_(consistent_subclass(x, b))
+        assert_(consistent_subclass(residuals, b))
+
+
+class TestLstsq(LstsqCases):
+    def test_rcond(self):
+        a = np.array([[0., 1.,  0.,  1.,  2.,  0.],
+                      [0., 2.,  0.,  0.,  1.,  0.],
+                      [1., 0.,  1.,  0.,  0.,  4.],
+                      [0., 0.,  0.,  2.,  3.,  0.]]).T
+
+        b = np.array([1, 0, 0, 0, 0, 0])
+
+        x, residuals, rank, s = linalg.lstsq(a, b, rcond=-1)
+        assert_(rank == 4)
+        x, residuals, rank, s = linalg.lstsq(a, b)
+        assert_(rank == 3)
+        x, residuals, rank, s = linalg.lstsq(a, b, rcond=None)
+        assert_(rank == 3)
+
+    @pytest.mark.parametrize(["m", "n", "n_rhs"], [
+        (4, 2, 2),
+        (0, 4, 1),
+        (0, 4, 2),
+        (4, 0, 1),
+        (4, 0, 2),
+        (4, 2, 0),
+        (0, 0, 0)
+    ])
+    def test_empty_a_b(self, m, n, n_rhs):
+        a = np.arange(m * n).reshape(m, n)
+        b = np.ones((m, n_rhs))
+        x, residuals, rank, s = linalg.lstsq(a, b, rcond=None)
+        if m == 0:
+            assert_((x == 0).all())
+        assert_equal(x.shape, (n, n_rhs))
+        assert_equal(residuals.shape, ((n_rhs,) if m > n else (0,)))
+        if m > n and n_rhs > 0:
+            # residuals are exactly the squared norms of b's columns
+            r = b - np.dot(a, x)
+            assert_almost_equal(residuals, (r * r).sum(axis=-2))
+        assert_equal(rank, min(m, n))
+        assert_equal(s.shape, (min(m, n),))
+
+    def test_incompatible_dims(self):
+        # use modified version of docstring example
+        x = np.array([0, 1, 2, 3])
+        y = np.array([-1, 0.2, 0.9, 2.1, 3.3])
+        A = np.vstack([x, np.ones(len(x))]).T
+        with assert_raises_regex(LinAlgError, "Incompatible dimensions"):
+            linalg.lstsq(A, y, rcond=None)
+
+
+@pytest.mark.parametrize('dt', [np.dtype(c) for c in '?bBhHiIqQefdgFDGO'])
+class TestMatrixPower:
+
+    rshft_0 = np.eye(4)
+    rshft_1 = rshft_0[[3, 0, 1, 2]]
+    rshft_2 = rshft_0[[2, 3, 0, 1]]
+    rshft_3 = rshft_0[[1, 2, 3, 0]]
+    rshft_all = [rshft_0, rshft_1, rshft_2, rshft_3]
+    noninv = array([[1, 0], [0, 0]])
+    stacked = np.block([[[rshft_0]]]*2)
+    #FIXME the 'e' dtype might work in future
+    dtnoinv = [object, np.dtype('e'), np.dtype('g'), np.dtype('G')]
+
+    def test_large_power(self, dt):
+        rshft = self.rshft_1.astype(dt)
+        assert_equal(
+            matrix_power(rshft, 2**100 + 2**10 + 2**5 + 0), self.rshft_0)
+        assert_equal(
+            matrix_power(rshft, 2**100 + 2**10 + 2**5 + 1), self.rshft_1)
+        assert_equal(
+            matrix_power(rshft, 2**100 + 2**10 + 2**5 + 2), self.rshft_2)
+        assert_equal(
+            matrix_power(rshft, 2**100 + 2**10 + 2**5 + 3), self.rshft_3)
+
+    def test_power_is_zero(self, dt):
+        def tz(M):
+            mz = matrix_power(M, 0)
+            assert_equal(mz, identity_like_generalized(M))
+            assert_equal(mz.dtype, M.dtype)
+
+        for mat in self.rshft_all:
+            tz(mat.astype(dt))
+            if dt != object:
+                tz(self.stacked.astype(dt))
+
+    def test_power_is_one(self, dt):
+        def tz(mat):
+            mz = matrix_power(mat, 1)
+            assert_equal(mz, mat)
+            assert_equal(mz.dtype, mat.dtype)
+
+        for mat in self.rshft_all:
+            tz(mat.astype(dt))
+            if dt != object:
+                tz(self.stacked.astype(dt))
+
+    def test_power_is_two(self, dt):
+        def tz(mat):
+            mz = matrix_power(mat, 2)
+            mmul = matmul if mat.dtype != object else dot
+            assert_equal(mz, mmul(mat, mat))
+            assert_equal(mz.dtype, mat.dtype)
+
+        for mat in self.rshft_all:
+            tz(mat.astype(dt))
+            if dt != object:
+                tz(self.stacked.astype(dt))
+
+    def test_power_is_minus_one(self, dt):
+        def tz(mat):
+            invmat = matrix_power(mat, -1)
+            mmul = matmul if mat.dtype != object else dot
+            assert_almost_equal(
+                mmul(invmat, mat), identity_like_generalized(mat))
+
+        for mat in self.rshft_all:
+            if dt not in self.dtnoinv:
+                tz(mat.astype(dt))
+
+    def test_exceptions_bad_power(self, dt):
+        mat = self.rshft_0.astype(dt)
+        assert_raises(TypeError, matrix_power, mat, 1.5)
+        assert_raises(TypeError, matrix_power, mat, [1])
+
+    def test_exceptions_non_square(self, dt):
+        assert_raises(LinAlgError, matrix_power, np.array([1], dt), 1)
+        assert_raises(LinAlgError, matrix_power, np.array([[1], [2]], dt), 1)
+        assert_raises(LinAlgError, matrix_power, np.ones((4, 3, 2), dt), 1)
+
+    @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm")
+    def test_exceptions_not_invertible(self, dt):
+        if dt in self.dtnoinv:
+            return
+        mat = self.noninv.astype(dt)
+        assert_raises(LinAlgError, matrix_power, mat, -1)
+
+
+class TestEigvalshCases(HermitianTestCase, HermitianGeneralizedTestCase):
+
+    def do(self, a, b, tags):
+        # note that eigenvalue arrays returned by eig must be sorted since
+        # their order isn't guaranteed.
+        ev = linalg.eigvalsh(a, 'L')
+        evalues, evectors = linalg.eig(a)
+        evalues.sort(axis=-1)
+        assert_allclose(ev, evalues, rtol=get_rtol(ev.dtype))
+
+        ev2 = linalg.eigvalsh(a, 'U')
+        assert_allclose(ev2, evalues, rtol=get_rtol(ev.dtype))
+
+
+class TestEigvalsh:
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        w = np.linalg.eigvalsh(x)
+        assert_equal(w.dtype, get_real_dtype(dtype))
+
+    def test_invalid(self):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=np.float32)
+        assert_raises(ValueError, np.linalg.eigvalsh, x, UPLO="lrong")
+        assert_raises(ValueError, np.linalg.eigvalsh, x, "lower")
+        assert_raises(ValueError, np.linalg.eigvalsh, x, "upper")
+
+    def test_UPLO(self):
+        Klo = np.array([[0, 0], [1, 0]], dtype=np.double)
+        Kup = np.array([[0, 1], [0, 0]], dtype=np.double)
+        tgt = np.array([-1, 1], dtype=np.double)
+        rtol = get_rtol(np.double)
+
+        # Check default is 'L'
+        w = np.linalg.eigvalsh(Klo)
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'L'
+        w = np.linalg.eigvalsh(Klo, UPLO='L')
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'l'
+        w = np.linalg.eigvalsh(Klo, UPLO='l')
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'U'
+        w = np.linalg.eigvalsh(Kup, UPLO='U')
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'u'
+        w = np.linalg.eigvalsh(Kup, UPLO='u')
+        assert_allclose(w, tgt, rtol=rtol)
+
+    def test_0_size(self):
+        # Check that all kinds of 0-sized arrays work
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.zeros((0, 1, 1), dtype=np.int_).view(ArraySubclass)
+        res = linalg.eigvalsh(a)
+        assert_(res.dtype.type is np.float64)
+        assert_equal((0, 1), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(res, np.ndarray))
+
+        a = np.zeros((0, 0), dtype=np.complex64).view(ArraySubclass)
+        res = linalg.eigvalsh(a)
+        assert_(res.dtype.type is np.float32)
+        assert_equal((0,), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(res, np.ndarray))
+
+
+class TestEighCases(HermitianTestCase, HermitianGeneralizedTestCase):
+
+    def do(self, a, b, tags):
+        # note that eigenvalue arrays returned by eig must be sorted since
+        # their order isn't guaranteed.
+        res = linalg.eigh(a)
+        ev, evc = res.eigenvalues, res.eigenvectors
+        evalues, evectors = linalg.eig(a)
+        evalues.sort(axis=-1)
+        assert_almost_equal(ev, evalues)
+
+        assert_allclose(matmul(a, evc),
+                        np.asarray(ev)[..., None, :] * np.asarray(evc),
+                        rtol=get_rtol(ev.dtype))
+
+        ev2, evc2 = linalg.eigh(a, 'U')
+        assert_almost_equal(ev2, evalues)
+
+        assert_allclose(matmul(a, evc2),
+                        np.asarray(ev2)[..., None, :] * np.asarray(evc2),
+                        rtol=get_rtol(ev.dtype), err_msg=repr(a))
+
+
+class TestEigh:
+    @pytest.mark.parametrize('dtype', [single, double, csingle, cdouble])
+    def test_types(self, dtype):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
+        w, v = np.linalg.eigh(x)
+        assert_equal(w.dtype, get_real_dtype(dtype))
+        assert_equal(v.dtype, dtype)
+
+    def test_invalid(self):
+        x = np.array([[1, 0.5], [0.5, 1]], dtype=np.float32)
+        assert_raises(ValueError, np.linalg.eigh, x, UPLO="lrong")
+        assert_raises(ValueError, np.linalg.eigh, x, "lower")
+        assert_raises(ValueError, np.linalg.eigh, x, "upper")
+
+    def test_UPLO(self):
+        Klo = np.array([[0, 0], [1, 0]], dtype=np.double)
+        Kup = np.array([[0, 1], [0, 0]], dtype=np.double)
+        tgt = np.array([-1, 1], dtype=np.double)
+        rtol = get_rtol(np.double)
+
+        # Check default is 'L'
+        w, v = np.linalg.eigh(Klo)
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'L'
+        w, v = np.linalg.eigh(Klo, UPLO='L')
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'l'
+        w, v = np.linalg.eigh(Klo, UPLO='l')
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'U'
+        w, v = np.linalg.eigh(Kup, UPLO='U')
+        assert_allclose(w, tgt, rtol=rtol)
+        # Check 'u'
+        w, v = np.linalg.eigh(Kup, UPLO='u')
+        assert_allclose(w, tgt, rtol=rtol)
+
+    def test_0_size(self):
+        # Check that all kinds of 0-sized arrays work
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.zeros((0, 1, 1), dtype=np.int_).view(ArraySubclass)
+        res, res_v = linalg.eigh(a)
+        assert_(res_v.dtype.type is np.float64)
+        assert_(res.dtype.type is np.float64)
+        assert_equal(a.shape, res_v.shape)
+        assert_equal((0, 1), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(a, np.ndarray))
+
+        a = np.zeros((0, 0), dtype=np.complex64).view(ArraySubclass)
+        res, res_v = linalg.eigh(a)
+        assert_(res_v.dtype.type is np.complex64)
+        assert_(res.dtype.type is np.float32)
+        assert_equal(a.shape, res_v.shape)
+        assert_equal((0,), res.shape)
+        # This is just for documentation, it might make sense to change:
+        assert_(isinstance(a, np.ndarray))
+
+
+class _TestNormBase:
+    dt = None
+    dec = None
+
+    @staticmethod
+    def check_dtype(x, res):
+        if issubclass(x.dtype.type, np.inexact):
+            assert_equal(res.dtype, x.real.dtype)
+        else:
+            # For integer input, don't have to test float precision of output.
+            assert_(issubclass(res.dtype.type, np.floating))
+
+
+class _TestNormGeneral(_TestNormBase):
+
+    def test_empty(self):
+        assert_equal(norm([]), 0.0)
+        assert_equal(norm(array([], dtype=self.dt)), 0.0)
+        assert_equal(norm(atleast_2d(array([], dtype=self.dt))), 0.0)
+
+    def test_vector_return_type(self):
+        a = np.array([1, 0, 1])
+
+        exact_types = np.typecodes['AllInteger']
+        inexact_types = np.typecodes['AllFloat']
+
+        all_types = exact_types + inexact_types
+
+        for each_type in all_types:
+            at = a.astype(each_type)
+
+            an = norm(at, -np.inf)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 0.0)
+
+            with suppress_warnings() as sup:
+                sup.filter(RuntimeWarning, "divide by zero encountered")
+                an = norm(at, -1)
+                self.check_dtype(at, an)
+                assert_almost_equal(an, 0.0)
+
+            an = norm(at, 0)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 2)
+
+            an = norm(at, 1)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 2.0)
+
+            an = norm(at, 2)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, an.dtype.type(2.0)**an.dtype.type(1.0/2.0))
+
+            an = norm(at, 4)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, an.dtype.type(2.0)**an.dtype.type(1.0/4.0))
+
+            an = norm(at, np.inf)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 1.0)
+
+    def test_vector(self):
+        a = [1, 2, 3, 4]
+        b = [-1, -2, -3, -4]
+        c = [-1, 2, -3, 4]
+
+        def _test(v):
+            np.testing.assert_almost_equal(norm(v), 30 ** 0.5,
+                                           decimal=self.dec)
+            np.testing.assert_almost_equal(norm(v, inf), 4.0,
+                                           decimal=self.dec)
+            np.testing.assert_almost_equal(norm(v, -inf), 1.0,
+                                           decimal=self.dec)
+            np.testing.assert_almost_equal(norm(v, 1), 10.0,
+                                           decimal=self.dec)
+            np.testing.assert_almost_equal(norm(v, -1), 12.0 / 25,
+                                           decimal=self.dec)
+            np.testing.assert_almost_equal(norm(v, 2), 30 ** 0.5,
+                                           decimal=self.dec)
+            np.testing.assert_almost_equal(norm(v, -2), ((205. / 144) ** -0.5),
+                                           decimal=self.dec)
+            np.testing.assert_almost_equal(norm(v, 0), 4,
+                                           decimal=self.dec)
+
+        for v in (a, b, c,):
+            _test(v)
+
+        for v in (array(a, dtype=self.dt), array(b, dtype=self.dt),
+                  array(c, dtype=self.dt)):
+            _test(v)
+
+    def test_axis(self):
+        # Vector norms.
+        # Compare the use of `axis` with computing the norm of each row
+        # or column separately.
+        A = array([[1, 2, 3], [4, 5, 6]], dtype=self.dt)
+        for order in [None, -1, 0, 1, 2, 3, np.inf, -np.inf]:
+            expected0 = [norm(A[:, k], ord=order) for k in range(A.shape[1])]
+            assert_almost_equal(norm(A, ord=order, axis=0), expected0)
+            expected1 = [norm(A[k, :], ord=order) for k in range(A.shape[0])]
+            assert_almost_equal(norm(A, ord=order, axis=1), expected1)
+
+        # Matrix norms.
+        B = np.arange(1, 25, dtype=self.dt).reshape(2, 3, 4)
+        nd = B.ndim
+        for order in [None, -2, 2, -1, 1, np.inf, -np.inf, 'fro']:
+            for axis in itertools.combinations(range(-nd, nd), 2):
+                row_axis, col_axis = axis
+                if row_axis < 0:
+                    row_axis += nd
+                if col_axis < 0:
+                    col_axis += nd
+                if row_axis == col_axis:
+                    assert_raises(ValueError, norm, B, ord=order, axis=axis)
+                else:
+                    n = norm(B, ord=order, axis=axis)
+
+                    # The logic using k_index only works for nd = 3.
+                    # This has to be changed if nd is increased.
+                    k_index = nd - (row_axis + col_axis)
+                    if row_axis < col_axis:
+                        expected = [norm(B[:].take(k, axis=k_index), ord=order)
+                                    for k in range(B.shape[k_index])]
+                    else:
+                        expected = [norm(B[:].take(k, axis=k_index).T, ord=order)
+                                    for k in range(B.shape[k_index])]
+                    assert_almost_equal(n, expected)
+
+    def test_keepdims(self):
+        A = np.arange(1, 25, dtype=self.dt).reshape(2, 3, 4)
+
+        allclose_err = 'order {0}, axis = {1}'
+        shape_err = 'Shape mismatch found {0}, expected {1}, order={2}, axis={3}'
+
+        # check the order=None, axis=None case
+        expected = norm(A, ord=None, axis=None)
+        found = norm(A, ord=None, axis=None, keepdims=True)
+        assert_allclose(np.squeeze(found), expected,
+                        err_msg=allclose_err.format(None, None))
+        expected_shape = (1, 1, 1)
+        assert_(found.shape == expected_shape,
+                shape_err.format(found.shape, expected_shape, None, None))
+
+        # Vector norms.
+        for order in [None, -1, 0, 1, 2, 3, np.inf, -np.inf]:
+            for k in range(A.ndim):
+                expected = norm(A, ord=order, axis=k)
+                found = norm(A, ord=order, axis=k, keepdims=True)
+                assert_allclose(np.squeeze(found), expected,
+                                err_msg=allclose_err.format(order, k))
+                expected_shape = list(A.shape)
+                expected_shape[k] = 1
+                expected_shape = tuple(expected_shape)
+                assert_(found.shape == expected_shape,
+                        shape_err.format(found.shape, expected_shape, order, k))
+
+        # Matrix norms.
+        for order in [None, -2, 2, -1, 1, np.inf, -np.inf, 'fro', 'nuc']:
+            for k in itertools.permutations(range(A.ndim), 2):
+                expected = norm(A, ord=order, axis=k)
+                found = norm(A, ord=order, axis=k, keepdims=True)
+                assert_allclose(np.squeeze(found), expected,
+                                err_msg=allclose_err.format(order, k))
+                expected_shape = list(A.shape)
+                expected_shape[k[0]] = 1
+                expected_shape[k[1]] = 1
+                expected_shape = tuple(expected_shape)
+                assert_(found.shape == expected_shape,
+                        shape_err.format(found.shape, expected_shape, order, k))
+
+
+class _TestNorm2D(_TestNormBase):
+    # Define the part for 2d arrays separately, so we can subclass this
+    # and run the tests using np.matrix in matrixlib.tests.test_matrix_linalg.
+    array = np.array
+
+    def test_matrix_empty(self):
+        assert_equal(norm(self.array([[]], dtype=self.dt)), 0.0)
+
+    def test_matrix_return_type(self):
+        a = self.array([[1, 0, 1], [0, 1, 1]])
+
+        exact_types = np.typecodes['AllInteger']
+
+        # float32, complex64, float64, complex128 types are the only types
+        # allowed by `linalg`, which performs the matrix operations used
+        # within `norm`.
+        inexact_types = 'fdFD'
+
+        all_types = exact_types + inexact_types
+
+        for each_type in all_types:
+            at = a.astype(each_type)
+
+            an = norm(at, -np.inf)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 2.0)
+
+            with suppress_warnings() as sup:
+                sup.filter(RuntimeWarning, "divide by zero encountered")
+                an = norm(at, -1)
+                self.check_dtype(at, an)
+                assert_almost_equal(an, 1.0)
+
+            an = norm(at, 1)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 2.0)
+
+            an = norm(at, 2)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 3.0**(1.0/2.0))
+
+            an = norm(at, -2)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 1.0)
+
+            an = norm(at, np.inf)
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 2.0)
+
+            an = norm(at, 'fro')
+            self.check_dtype(at, an)
+            assert_almost_equal(an, 2.0)
+
+            an = norm(at, 'nuc')
+            self.check_dtype(at, an)
+            # Lower bar needed to support low precision floats.
+            # They end up being off by 1 in the 7th place.
+            np.testing.assert_almost_equal(an, 2.7320508075688772, decimal=6)
+
+    def test_matrix_2x2(self):
+        A = self.array([[1, 3], [5, 7]], dtype=self.dt)
+        assert_almost_equal(norm(A), 84 ** 0.5)
+        assert_almost_equal(norm(A, 'fro'), 84 ** 0.5)
+        assert_almost_equal(norm(A, 'nuc'), 10.0)
+        assert_almost_equal(norm(A, inf), 12.0)
+        assert_almost_equal(norm(A, -inf), 4.0)
+        assert_almost_equal(norm(A, 1), 10.0)
+        assert_almost_equal(norm(A, -1), 6.0)
+        assert_almost_equal(norm(A, 2), 9.1231056256176615)
+        assert_almost_equal(norm(A, -2), 0.87689437438234041)
+
+        assert_raises(ValueError, norm, A, 'nofro')
+        assert_raises(ValueError, norm, A, -3)
+        assert_raises(ValueError, norm, A, 0)
+
+    def test_matrix_3x3(self):
+        # This test has been added because the 2x2 example
+        # happened to have equal nuclear norm and induced 1-norm.
+        # The 1/10 scaling factor accommodates the absolute tolerance
+        # used in assert_almost_equal.
+        A = (1 / 10) * \
+            self.array([[1, 2, 3], [6, 0, 5], [3, 2, 1]], dtype=self.dt)
+        assert_almost_equal(norm(A), (1 / 10) * 89 ** 0.5)
+        assert_almost_equal(norm(A, 'fro'), (1 / 10) * 89 ** 0.5)
+        assert_almost_equal(norm(A, 'nuc'), 1.3366836911774836)
+        assert_almost_equal(norm(A, inf), 1.1)
+        assert_almost_equal(norm(A, -inf), 0.6)
+        assert_almost_equal(norm(A, 1), 1.0)
+        assert_almost_equal(norm(A, -1), 0.4)
+        assert_almost_equal(norm(A, 2), 0.88722940323461277)
+        assert_almost_equal(norm(A, -2), 0.19456584790481812)
+
+    def test_bad_args(self):
+        # Check that bad arguments raise the appropriate exceptions.
+
+        A = self.array([[1, 2, 3], [4, 5, 6]], dtype=self.dt)
+        B = np.arange(1, 25, dtype=self.dt).reshape(2, 3, 4)
+
+        # Using `axis=` or passing in a 1-D array implies vector
+        # norms are being computed, so also using `ord='fro'`
+        # or `ord='nuc'` or any other string raises a ValueError.
+        assert_raises(ValueError, norm, A, 'fro', 0)
+        assert_raises(ValueError, norm, A, 'nuc', 0)
+        assert_raises(ValueError, norm, [3, 4], 'fro', None)
+        assert_raises(ValueError, norm, [3, 4], 'nuc', None)
+        assert_raises(ValueError, norm, [3, 4], 'test', None)
+
+        # Similarly, norm should raise an exception when ord is any finite
+        # number other than 1, 2, -1 or -2 when computing matrix norms.
+        for order in [0, 3]:
+            assert_raises(ValueError, norm, A, order, None)
+            assert_raises(ValueError, norm, A, order, (0, 1))
+            assert_raises(ValueError, norm, B, order, (1, 2))
+
+        # Invalid axis
+        assert_raises(AxisError, norm, B, None, 3)
+        assert_raises(AxisError, norm, B, None, (2, 3))
+        assert_raises(ValueError, norm, B, None, (0, 1, 2))
+
+
+class _TestNorm(_TestNorm2D, _TestNormGeneral):
+    pass
+
+
+class TestNorm_NonSystematic:
+
+    def test_longdouble_norm(self):
+        # Non-regression test: p-norm of longdouble would previously raise
+        # UnboundLocalError.
+        x = np.arange(10, dtype=np.longdouble)
+        old_assert_almost_equal(norm(x, ord=3), 12.65, decimal=2)
+
+    def test_intmin(self):
+        # Non-regression test: p-norm of signed integer would previously do
+        # float cast and abs in the wrong order.
+        x = np.array([-2 ** 31], dtype=np.int32)
+        old_assert_almost_equal(norm(x, ord=3), 2 ** 31, decimal=5)
+
+    def test_complex_high_ord(self):
+        # gh-4156
+        d = np.empty((2,), dtype=np.clongdouble)
+        d[0] = 6 + 7j
+        d[1] = -6 + 7j
+        res = 11.615898132184
+        old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=10)
+        d = d.astype(np.complex128)
+        old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=9)
+        d = d.astype(np.complex64)
+        old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=5)
+
+
+# Separate definitions so we can use them for matrix tests.
+class _TestNormDoubleBase(_TestNormBase):
+    dt = np.double
+    dec = 12
+
+
+class _TestNormSingleBase(_TestNormBase):
+    dt = np.float32
+    dec = 6
+
+
+class _TestNormInt64Base(_TestNormBase):
+    dt = np.int64
+    dec = 12
+
+
+class TestNormDouble(_TestNorm, _TestNormDoubleBase):
+    pass
+
+
+class TestNormSingle(_TestNorm, _TestNormSingleBase):
+    pass
+
+
+class TestNormInt64(_TestNorm, _TestNormInt64Base):
+    pass
+
+
+class TestMatrixRank:
+
+    def test_matrix_rank(self):
+        # Full rank matrix
+        assert_equal(4, matrix_rank(np.eye(4)))
+        # rank deficient matrix
+        I = np.eye(4)
+        I[-1, -1] = 0.
+        assert_equal(matrix_rank(I), 3)
+        # All zeros - zero rank
+        assert_equal(matrix_rank(np.zeros((4, 4))), 0)
+        # 1 dimension - rank 1 unless all 0
+        assert_equal(matrix_rank([1, 0, 0, 0]), 1)
+        assert_equal(matrix_rank(np.zeros((4,))), 0)
+        # accepts array-like
+        assert_equal(matrix_rank([1]), 1)
+        # greater than 2 dimensions treated as stacked matrices
+        ms = np.array([I, np.eye(4), np.zeros((4,4))])
+        assert_equal(matrix_rank(ms), np.array([3, 4, 0]))
+        # works on scalar
+        assert_equal(matrix_rank(1), 1)
+
+        with assert_raises_regex(
+            ValueError, "`tol` and `rtol` can\'t be both set."
+        ):
+            matrix_rank(I, tol=0.01, rtol=0.01)
+
+    def test_symmetric_rank(self):
+        assert_equal(4, matrix_rank(np.eye(4), hermitian=True))
+        assert_equal(1, matrix_rank(np.ones((4, 4)), hermitian=True))
+        assert_equal(0, matrix_rank(np.zeros((4, 4)), hermitian=True))
+        # rank deficient matrix
+        I = np.eye(4)
+        I[-1, -1] = 0.
+        assert_equal(3, matrix_rank(I, hermitian=True))
+        # manually supplied tolerance
+        I[-1, -1] = 1e-8
+        assert_equal(4, matrix_rank(I, hermitian=True, tol=0.99e-8))
+        assert_equal(3, matrix_rank(I, hermitian=True, tol=1.01e-8))
+
+
+def test_reduced_rank():
+    # Test matrices with reduced rank
+    rng = np.random.RandomState(20120714)
+    for i in range(100):
+        # Make a rank deficient matrix
+        X = rng.normal(size=(40, 10))
+        X[:, 0] = X[:, 1] + X[:, 2]
+        # Assert that matrix_rank detected deficiency
+        assert_equal(matrix_rank(X), 9)
+        X[:, 3] = X[:, 4] + X[:, 5]
+        assert_equal(matrix_rank(X), 8)
+
+
+class TestQR:
+    # Define the array class here, so run this on matrices elsewhere.
+    array = np.array
+
+    def check_qr(self, a):
+        # This test expects the argument `a` to be an ndarray or
+        # a subclass of an ndarray of inexact type.
+        a_type = type(a)
+        a_dtype = a.dtype
+        m, n = a.shape
+        k = min(m, n)
+
+        # mode == 'complete'
+        res = linalg.qr(a, mode='complete')
+        Q, R = res.Q, res.R
+        assert_(Q.dtype == a_dtype)
+        assert_(R.dtype == a_dtype)
+        assert_(isinstance(Q, a_type))
+        assert_(isinstance(R, a_type))
+        assert_(Q.shape == (m, m))
+        assert_(R.shape == (m, n))
+        assert_almost_equal(dot(Q, R), a)
+        assert_almost_equal(dot(Q.T.conj(), Q), np.eye(m))
+        assert_almost_equal(np.triu(R), R)
+
+        # mode == 'reduced'
+        q1, r1 = linalg.qr(a, mode='reduced')
+        assert_(q1.dtype == a_dtype)
+        assert_(r1.dtype == a_dtype)
+        assert_(isinstance(q1, a_type))
+        assert_(isinstance(r1, a_type))
+        assert_(q1.shape == (m, k))
+        assert_(r1.shape == (k, n))
+        assert_almost_equal(dot(q1, r1), a)
+        assert_almost_equal(dot(q1.T.conj(), q1), np.eye(k))
+        assert_almost_equal(np.triu(r1), r1)
+
+        # mode == 'r'
+        r2 = linalg.qr(a, mode='r')
+        assert_(r2.dtype == a_dtype)
+        assert_(isinstance(r2, a_type))
+        assert_almost_equal(r2, r1)
+
+
+    @pytest.mark.parametrize(["m", "n"], [
+        (3, 0),
+        (0, 3),
+        (0, 0)
+    ])
+    def test_qr_empty(self, m, n):
+        k = min(m, n)
+        a = np.empty((m, n))
+
+        self.check_qr(a)
+
+        h, tau = np.linalg.qr(a, mode='raw')
+        assert_equal(h.dtype, np.double)
+        assert_equal(tau.dtype, np.double)
+        assert_equal(h.shape, (n, m))
+        assert_equal(tau.shape, (k,))
+
+    def test_mode_raw(self):
+        # The factorization is not unique and varies between libraries,
+        # so it is not possible to check against known values. Functional
+        # testing is a possibility, but awaits the exposure of more
+        # of the functions in lapack_lite. Consequently, this test is
+        # very limited in scope. Note that the results are in FORTRAN
+        # order, hence the h arrays are transposed.
+        a = self.array([[1, 2], [3, 4], [5, 6]], dtype=np.double)
+
+        # Test double
+        h, tau = linalg.qr(a, mode='raw')
+        assert_(h.dtype == np.double)
+        assert_(tau.dtype == np.double)
+        assert_(h.shape == (2, 3))
+        assert_(tau.shape == (2,))
+
+        h, tau = linalg.qr(a.T, mode='raw')
+        assert_(h.dtype == np.double)
+        assert_(tau.dtype == np.double)
+        assert_(h.shape == (3, 2))
+        assert_(tau.shape == (2,))
+
+    def test_mode_all_but_economic(self):
+        a = self.array([[1, 2], [3, 4]])
+        b = self.array([[1, 2], [3, 4], [5, 6]])
+        for dt in "fd":
+            m1 = a.astype(dt)
+            m2 = b.astype(dt)
+            self.check_qr(m1)
+            self.check_qr(m2)
+            self.check_qr(m2.T)
+
+        for dt in "fd":
+            m1 = 1 + 1j * a.astype(dt)
+            m2 = 1 + 1j * b.astype(dt)
+            self.check_qr(m1)
+            self.check_qr(m2)
+            self.check_qr(m2.T)
+
+    def check_qr_stacked(self, a):
+        # This test expects the argument `a` to be an ndarray or
+        # a subclass of an ndarray of inexact type.
+        a_type = type(a)
+        a_dtype = a.dtype
+        m, n = a.shape[-2:]
+        k = min(m, n)
+
+        # mode == 'complete'
+        q, r = linalg.qr(a, mode='complete')
+        assert_(q.dtype == a_dtype)
+        assert_(r.dtype == a_dtype)
+        assert_(isinstance(q, a_type))
+        assert_(isinstance(r, a_type))
+        assert_(q.shape[-2:] == (m, m))
+        assert_(r.shape[-2:] == (m, n))
+        assert_almost_equal(matmul(q, r), a)
+        I_mat = np.identity(q.shape[-1])
+        stack_I_mat = np.broadcast_to(I_mat,
+                        q.shape[:-2] + (q.shape[-1],)*2)
+        assert_almost_equal(matmul(swapaxes(q, -1, -2).conj(), q), stack_I_mat)
+        assert_almost_equal(np.triu(r[..., :, :]), r)
+
+        # mode == 'reduced'
+        q1, r1 = linalg.qr(a, mode='reduced')
+        assert_(q1.dtype == a_dtype)
+        assert_(r1.dtype == a_dtype)
+        assert_(isinstance(q1, a_type))
+        assert_(isinstance(r1, a_type))
+        assert_(q1.shape[-2:] == (m, k))
+        assert_(r1.shape[-2:] == (k, n))
+        assert_almost_equal(matmul(q1, r1), a)
+        I_mat = np.identity(q1.shape[-1])
+        stack_I_mat = np.broadcast_to(I_mat,
+                        q1.shape[:-2] + (q1.shape[-1],)*2)
+        assert_almost_equal(matmul(swapaxes(q1, -1, -2).conj(), q1),
+                            stack_I_mat)
+        assert_almost_equal(np.triu(r1[..., :, :]), r1)
+
+        # mode == 'r'
+        r2 = linalg.qr(a, mode='r')
+        assert_(r2.dtype == a_dtype)
+        assert_(isinstance(r2, a_type))
+        assert_almost_equal(r2, r1)
+
+    @pytest.mark.parametrize("size", [
+        (3, 4), (4, 3), (4, 4),
+        (3, 0), (0, 3)])
+    @pytest.mark.parametrize("outer_size", [
+        (2, 2), (2,), (2, 3, 4)])
+    @pytest.mark.parametrize("dt", [
+        np.single, np.double,
+        np.csingle, np.cdouble])
+    def test_stacked_inputs(self, outer_size, size, dt):
+
+        rng = np.random.default_rng(123)
+        A = rng.normal(size=outer_size + size).astype(dt)
+        B = rng.normal(size=outer_size + size).astype(dt)
+        self.check_qr_stacked(A)
+        self.check_qr_stacked(A + 1.j*B)
+
+
+class TestCholesky:
+
+    @pytest.mark.parametrize(
+        'shape', [(1, 1), (2, 2), (3, 3), (50, 50), (3, 10, 10)]
+    )
+    @pytest.mark.parametrize(
+        'dtype', (np.float32, np.float64, np.complex64, np.complex128)
+    )
+    @pytest.mark.parametrize(
+        'upper', [False, True])
+    def test_basic_property(self, shape, dtype, upper):
+        np.random.seed(1)
+        a = np.random.randn(*shape)
+        if np.issubdtype(dtype, np.complexfloating):
+            a = a + 1j*np.random.randn(*shape)
+
+        t = list(range(len(shape)))
+        t[-2:] = -1, -2
+
+        a = np.matmul(a.transpose(t).conj(), a)
+        a = np.asarray(a, dtype=dtype)
+
+        c = np.linalg.cholesky(a, upper=upper)
+
+        # Check A = L L^H or A = U^H U
+        if upper:
+            b = np.matmul(c.transpose(t).conj(), c)
+        else:
+            b = np.matmul(c, c.transpose(t).conj())
+
+        atol = 500 * a.shape[0] * np.finfo(dtype).eps
+        assert_allclose(b, a, atol=atol, err_msg=f'{shape} {dtype}\n{a}\n{c}')
+
+        # Check diag(L or U) is real and positive
+        d = np.diagonal(c, axis1=-2, axis2=-1)
+        assert_(np.all(np.isreal(d)))
+        assert_(np.all(d >= 0))
+
+    def test_0_size(self):
+        class ArraySubclass(np.ndarray):
+            pass
+        a = np.zeros((0, 1, 1), dtype=np.int_).view(ArraySubclass)
+        res = linalg.cholesky(a)
+        assert_equal(a.shape, res.shape)
+        assert_(res.dtype.type is np.float64)
+        # for documentation purpose:
+        assert_(isinstance(res, np.ndarray))
+
+        a = np.zeros((1, 0, 0), dtype=np.complex64).view(ArraySubclass)
+        res = linalg.cholesky(a)
+        assert_equal(a.shape, res.shape)
+        assert_(res.dtype.type is np.complex64)
+        assert_(isinstance(res, np.ndarray))
+
+    def test_upper_lower_arg(self):
+        # Explicit test of upper argument that also checks the default.
+        a = np.array([[1+0j, 0-2j], [0+2j, 5+0j]])
+
+        assert_equal(linalg.cholesky(a), linalg.cholesky(a, upper=False))
+
+        assert_equal(
+            linalg.cholesky(a, upper=True),
+            linalg.cholesky(a).T.conj()
+        )
+
+
+class TestOuter:
+    arr1 = np.arange(3)
+    arr2 = np.arange(3)
+    expected = np.array(
+        [[0, 0, 0],
+         [0, 1, 2],
+         [0, 2, 4]]
+    )
+
+    assert_array_equal(np.linalg.outer(arr1, arr2), expected)
+
+    with assert_raises_regex(
+        ValueError, "Input arrays must be one-dimensional"
+    ):
+        np.linalg.outer(arr1[:, np.newaxis], arr2)
+
+
+def test_byteorder_check():
+    # Byte order check should pass for native order
+    if sys.byteorder == 'little':
+        native = '<'
+    else:
+        native = '>'
+
+    for dtt in (np.float32, np.float64):
+        arr = np.eye(4, dtype=dtt)
+        n_arr = arr.view(arr.dtype.newbyteorder(native))
+        sw_arr = arr.view(arr.dtype.newbyteorder("S")).byteswap()
+        assert_equal(arr.dtype.byteorder, '=')
+        for routine in (linalg.inv, linalg.det, linalg.pinv):
+            # Normal call
+            res = routine(arr)
+            # Native but not '='
+            assert_array_equal(res, routine(n_arr))
+            # Swapped
+            assert_array_equal(res, routine(sw_arr))
+
+
+@pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm")
+def test_generalized_raise_multiloop():
+    # It should raise an error even if the error doesn't occur in the
+    # last iteration of the ufunc inner loop
+
+    invertible = np.array([[1, 2], [3, 4]])
+    non_invertible = np.array([[1, 1], [1, 1]])
+
+    x = np.zeros([4, 4, 2, 2])[1::2]
+    x[...] = invertible
+    x[0, 0] = non_invertible
+
+    assert_raises(np.linalg.LinAlgError, np.linalg.inv, x)
+
+@pytest.mark.skipif(
+    threading.active_count() > 1,
+    reason="skipping test that uses fork because there are multiple threads")
+def test_xerbla_override():
+    # Check that our xerbla has been successfully linked in. If it is not,
+    # the default xerbla routine is called, which prints a message to stdout
+    # and may, or may not, abort the process depending on the LAPACK package.
+
+    XERBLA_OK = 255
+
+    try:
+        pid = os.fork()
+    except (OSError, AttributeError):
+        # fork failed, or not running on POSIX
+        pytest.skip("Not POSIX or fork failed.")
+
+    if pid == 0:
+        # child; close i/o file handles
+        os.close(1)
+        os.close(0)
+        # Avoid producing core files.
+        import resource
+        resource.setrlimit(resource.RLIMIT_CORE, (0, 0))
+        # These calls may abort.
+        try:
+            np.linalg.lapack_lite.xerbla()
+        except ValueError:
+            pass
+        except Exception:
+            os._exit(os.EX_CONFIG)
+
+        try:
+            a = np.array([[1.]])
+            np.linalg.lapack_lite.dorgqr(
+                1, 1, 1, a,
+                0,  # <- invalid value
+                a, a, 0, 0)
+        except ValueError as e:
+            if "DORGQR parameter number 5" in str(e):
+                # success, reuse error code to mark success as
+                # FORTRAN STOP returns as success.
+                os._exit(XERBLA_OK)
+
+        # Did not abort, but our xerbla was not linked in.
+        os._exit(os.EX_CONFIG)
+    else:
+        # parent
+        pid, status = os.wait()
+        if os.WEXITSTATUS(status) != XERBLA_OK:
+            pytest.skip('Numpy xerbla not linked in.')
+
+
+@pytest.mark.skipif(IS_WASM, reason="Cannot start subprocess")
+@pytest.mark.slow
+def test_sdot_bug_8577():
+    # Regression test that loading certain other libraries does not
+    # result to wrong results in float32 linear algebra.
+    #
+    # There's a bug gh-8577 on OSX that can trigger this, and perhaps
+    # there are also other situations in which it occurs.
+    #
+    # Do the check in a separate process.
+
+    bad_libs = ['PyQt5.QtWidgets', 'IPython']
+
+    template = textwrap.dedent("""
+    import sys
+    {before}
+    try:
+        import {bad_lib}
+    except ImportError:
+        sys.exit(0)
+    {after}
+    x = np.ones(2, dtype=np.float32)
+    sys.exit(0 if np.allclose(x.dot(x), 2.0) else 1)
+    """)
+
+    for bad_lib in bad_libs:
+        code = template.format(before="import numpy as np", after="",
+                               bad_lib=bad_lib)
+        subprocess.check_call([sys.executable, "-c", code])
+
+        # Swapped import order
+        code = template.format(after="import numpy as np", before="",
+                               bad_lib=bad_lib)
+        subprocess.check_call([sys.executable, "-c", code])
+
+
+class TestMultiDot:
+
+    def test_basic_function_with_three_arguments(self):
+        # multi_dot with three arguments uses a fast hand coded algorithm to
+        # determine the optimal order. Therefore test it separately.
+        A = np.random.random((6, 2))
+        B = np.random.random((2, 6))
+        C = np.random.random((6, 2))
+
+        assert_almost_equal(multi_dot([A, B, C]), A.dot(B).dot(C))
+        assert_almost_equal(multi_dot([A, B, C]), np.dot(A, np.dot(B, C)))
+
+    def test_basic_function_with_two_arguments(self):
+        # separate code path with two arguments
+        A = np.random.random((6, 2))
+        B = np.random.random((2, 6))
+
+        assert_almost_equal(multi_dot([A, B]), A.dot(B))
+        assert_almost_equal(multi_dot([A, B]), np.dot(A, B))
+
+    def test_basic_function_with_dynamic_programming_optimization(self):
+        # multi_dot with four or more arguments uses the dynamic programming
+        # optimization and therefore deserve a separate
+        A = np.random.random((6, 2))
+        B = np.random.random((2, 6))
+        C = np.random.random((6, 2))
+        D = np.random.random((2, 1))
+        assert_almost_equal(multi_dot([A, B, C, D]), A.dot(B).dot(C).dot(D))
+
+    def test_vector_as_first_argument(self):
+        # The first argument can be 1-D
+        A1d = np.random.random(2)  # 1-D
+        B = np.random.random((2, 6))
+        C = np.random.random((6, 2))
+        D = np.random.random((2, 2))
+
+        # the result should be 1-D
+        assert_equal(multi_dot([A1d, B, C, D]).shape, (2,))
+
+    def test_vector_as_last_argument(self):
+        # The last argument can be 1-D
+        A = np.random.random((6, 2))
+        B = np.random.random((2, 6))
+        C = np.random.random((6, 2))
+        D1d = np.random.random(2)  # 1-D
+
+        # the result should be 1-D
+        assert_equal(multi_dot([A, B, C, D1d]).shape, (6,))
+
+    def test_vector_as_first_and_last_argument(self):
+        # The first and last arguments can be 1-D
+        A1d = np.random.random(2)  # 1-D
+        B = np.random.random((2, 6))
+        C = np.random.random((6, 2))
+        D1d = np.random.random(2)  # 1-D
+
+        # the result should be a scalar
+        assert_equal(multi_dot([A1d, B, C, D1d]).shape, ())
+
+    def test_three_arguments_and_out(self):
+        # multi_dot with three arguments uses a fast hand coded algorithm to
+        # determine the optimal order. Therefore test it separately.
+        A = np.random.random((6, 2))
+        B = np.random.random((2, 6))
+        C = np.random.random((6, 2))
+
+        out = np.zeros((6, 2))
+        ret = multi_dot([A, B, C], out=out)
+        assert out is ret
+        assert_almost_equal(out, A.dot(B).dot(C))
+        assert_almost_equal(out, np.dot(A, np.dot(B, C)))
+
+    def test_two_arguments_and_out(self):
+        # separate code path with two arguments
+        A = np.random.random((6, 2))
+        B = np.random.random((2, 6))
+        out = np.zeros((6, 6))
+        ret = multi_dot([A, B], out=out)
+        assert out is ret
+        assert_almost_equal(out, A.dot(B))
+        assert_almost_equal(out, np.dot(A, B))
+
+    def test_dynamic_programming_optimization_and_out(self):
+        # multi_dot with four or more arguments uses the dynamic programming
+        # optimization and therefore deserve a separate test
+        A = np.random.random((6, 2))
+        B = np.random.random((2, 6))
+        C = np.random.random((6, 2))
+        D = np.random.random((2, 1))
+        out = np.zeros((6, 1))
+        ret = multi_dot([A, B, C, D], out=out)
+        assert out is ret
+        assert_almost_equal(out, A.dot(B).dot(C).dot(D))
+
+    def test_dynamic_programming_logic(self):
+        # Test for the dynamic programming part
+        # This test is directly taken from Cormen page 376.
+        arrays = [np.random.random((30, 35)),
+                  np.random.random((35, 15)),
+                  np.random.random((15, 5)),
+                  np.random.random((5, 10)),
+                  np.random.random((10, 20)),
+                  np.random.random((20, 25))]
+        m_expected = np.array([[0., 15750., 7875., 9375., 11875., 15125.],
+                               [0.,     0., 2625., 4375.,  7125., 10500.],
+                               [0.,     0.,    0.,  750.,  2500.,  5375.],
+                               [0.,     0.,    0.,    0.,  1000.,  3500.],
+                               [0.,     0.,    0.,    0.,     0.,  5000.],
+                               [0.,     0.,    0.,    0.,     0.,     0.]])
+        s_expected = np.array([[0,  1,  1,  3,  3,  3],
+                               [0,  0,  2,  3,  3,  3],
+                               [0,  0,  0,  3,  3,  3],
+                               [0,  0,  0,  0,  4,  5],
+                               [0,  0,  0,  0,  0,  5],
+                               [0,  0,  0,  0,  0,  0]], dtype=int)
+        s_expected -= 1  # Cormen uses 1-based index, python does not.
+
+        s, m = _multi_dot_matrix_chain_order(arrays, return_costs=True)
+
+        # Only the upper triangular part (without the diagonal) is interesting.
+        assert_almost_equal(np.triu(s[:-1, 1:]),
+                            np.triu(s_expected[:-1, 1:]))
+        assert_almost_equal(np.triu(m), np.triu(m_expected))
+
+    def test_too_few_input_arrays(self):
+        assert_raises(ValueError, multi_dot, [])
+        assert_raises(ValueError, multi_dot, [np.random.random((3, 3))])
+
+
+class TestTensorinv:
+
+    @pytest.mark.parametrize("arr, ind", [
+        (np.ones((4, 6, 8, 2)), 2),
+        (np.ones((3, 3, 2)), 1),
+        ])
+    def test_non_square_handling(self, arr, ind):
+        with assert_raises(LinAlgError):
+            linalg.tensorinv(arr, ind=ind)
+
+    @pytest.mark.parametrize("shape, ind", [
+        # examples from docstring
+        ((4, 6, 8, 3), 2),
+        ((24, 8, 3), 1),
+        ])
+    def test_tensorinv_shape(self, shape, ind):
+        a = np.eye(24)
+        a.shape = shape
+        ainv = linalg.tensorinv(a=a, ind=ind)
+        expected = a.shape[ind:] + a.shape[:ind]
+        actual = ainv.shape
+        assert_equal(actual, expected)
+
+    @pytest.mark.parametrize("ind", [
+        0, -2,
+        ])
+    def test_tensorinv_ind_limit(self, ind):
+        a = np.eye(24)
+        a.shape = (4, 6, 8, 3)
+        with assert_raises(ValueError):
+            linalg.tensorinv(a=a, ind=ind)
+
+    def test_tensorinv_result(self):
+        # mimic a docstring example
+        a = np.eye(24)
+        a.shape = (24, 8, 3)
+        ainv = linalg.tensorinv(a, ind=1)
+        b = np.ones(24)
+        assert_allclose(np.tensordot(ainv, b, 1), np.linalg.tensorsolve(a, b))
+
+
+class TestTensorsolve:
+
+    @pytest.mark.parametrize("a, axes", [
+        (np.ones((4, 6, 8, 2)), None),
+        (np.ones((3, 3, 2)), (0, 2)),
+        ])
+    def test_non_square_handling(self, a, axes):
+        with assert_raises(LinAlgError):
+            b = np.ones(a.shape[:2])
+            linalg.tensorsolve(a, b, axes=axes)
+
+    @pytest.mark.parametrize("shape",
+        [(2, 3, 6), (3, 4, 4, 3), (0, 3, 3, 0)],
+    )
+    def test_tensorsolve_result(self, shape):
+        a = np.random.randn(*shape)
+        b = np.ones(a.shape[:2])
+        x = np.linalg.tensorsolve(a, b)
+        assert_allclose(np.tensordot(a, x, axes=len(x.shape)), b)
+
+
+def test_unsupported_commontype():
+    # linalg gracefully handles unsupported type
+    arr = np.array([[1, -2], [2, 5]], dtype='float16')
+    with assert_raises_regex(TypeError, "unsupported in linalg"):
+        linalg.cholesky(arr)
+
+
+#@pytest.mark.slow
+#@pytest.mark.xfail(not HAS_LAPACK64, run=False,
+#                   reason="Numpy not compiled with 64-bit BLAS/LAPACK")
+#@requires_memory(free_bytes=16e9)
+@pytest.mark.skip(reason="Bad memory reports lead to OOM in ci testing")
+def test_blas64_dot():
+    n = 2**32
+    a = np.zeros([1, n], dtype=np.float32)
+    b = np.ones([1, 1], dtype=np.float32)
+    a[0,-1] = 1
+    c = np.dot(b, a)
+    assert_equal(c[0,-1], 1)
+
+
+@pytest.mark.xfail(not HAS_LAPACK64,
+                   reason="Numpy not compiled with 64-bit BLAS/LAPACK")
+def test_blas64_geqrf_lwork_smoketest():
+    # Smoke test LAPACK geqrf lwork call with 64-bit integers
+    dtype = np.float64
+    lapack_routine = np.linalg.lapack_lite.dgeqrf
+
+    m = 2**32 + 1
+    n = 2**32 + 1
+    lda = m
+
+    # Dummy arrays, not referenced by the lapack routine, so don't
+    # need to be of the right size
+    a = np.zeros([1, 1], dtype=dtype)
+    work = np.zeros([1], dtype=dtype)
+    tau = np.zeros([1], dtype=dtype)
+
+    # Size query
+    results = lapack_routine(m, n, a, lda, tau, work, -1, 0)
+    assert_equal(results['info'], 0)
+    assert_equal(results['m'], m)
+    assert_equal(results['n'], m)
+
+    # Should result to an integer of a reasonable size
+    lwork = int(work.item())
+    assert_(2**32 < lwork < 2**42)
+
+
+def test_diagonal():
+    # Here we only test if selected axes are compatible
+    # with Array API (last two). Core implementation
+    # of `diagonal` is tested in `test_multiarray.py`.
+    x = np.arange(60).reshape((3, 4, 5))
+    actual = np.linalg.diagonal(x)
+    expected = np.array(
+        [
+            [0,  6, 12, 18],
+            [20, 26, 32, 38],
+            [40, 46, 52, 58],
+        ]
+    )
+    assert_equal(actual, expected)
+
+
+def test_trace():
+    # Here we only test if selected axes are compatible
+    # with Array API (last two). Core implementation
+    # of `trace` is tested in `test_multiarray.py`.
+    x = np.arange(60).reshape((3, 4, 5))
+    actual = np.linalg.trace(x)
+    expected = np.array([36, 116, 196])
+
+    assert_equal(actual, expected)
+
+
+def test_cross():
+    x = np.arange(9).reshape((3, 3))
+    actual = np.linalg.cross(x, x + 1)
+    expected = np.array([
+        [-1, 2, -1],
+        [-1, 2, -1],
+        [-1, 2, -1],
+    ])
+
+    assert_equal(actual, expected)
+
+    # We test that lists are converted to arrays.
+    u = [1, 2, 3]
+    v = [4, 5, 6]
+    actual = np.linalg.cross(u, v)
+    expected = array([-3,  6, -3])
+
+    assert_equal(actual, expected)
+
+    with assert_raises_regex(
+        ValueError,
+        r"input arrays must be \(arrays of\) 3-dimensional vectors"
+    ):
+        x_2dim = x[:, 1:]
+        np.linalg.cross(x_2dim, x_2dim)
+
+
+def test_tensordot():
+    # np.linalg.tensordot is just an alias for np.tensordot
+    x = np.arange(6).reshape((2, 3))
+
+    assert np.linalg.tensordot(x, x) == 55
+    assert np.linalg.tensordot(x, x, axes=[(0, 1), (0, 1)]) == 55
+
+
+def test_matmul():
+    # np.linalg.matmul and np.matmul only differs in the number
+    # of arguments in the signature
+    x = np.arange(6).reshape((2, 3))
+    actual = np.linalg.matmul(x, x.T)
+    expected = np.array([[5, 14], [14, 50]])
+
+    assert_equal(actual, expected)
+
+
+def test_matrix_transpose():
+    x = np.arange(6).reshape((2, 3))
+    actual = np.linalg.matrix_transpose(x)
+    expected = x.T
+
+    assert_equal(actual, expected)
+
+    with assert_raises_regex(
+        ValueError, "array must be at least 2-dimensional"
+    ):
+        np.linalg.matrix_transpose(x[:, 0])
+
+
+def test_matrix_norm():
+    x = np.arange(9).reshape((3, 3))
+    actual = np.linalg.matrix_norm(x)
+
+    assert_almost_equal(actual, np.float64(14.2828), double_decimal=3)
+
+    actual = np.linalg.matrix_norm(x, keepdims=True)
+
+    assert_almost_equal(actual, np.array([[14.2828]]), double_decimal=3)
+
+
+def test_vector_norm():
+    x = np.arange(9).reshape((3, 3))
+    actual = np.linalg.vector_norm(x)
+
+    assert_almost_equal(actual, np.float64(14.2828), double_decimal=3)
+
+    actual = np.linalg.vector_norm(x, axis=0)
+
+    assert_almost_equal(
+        actual, np.array([6.7082, 8.124, 9.6436]), double_decimal=3
+    )
+
+    actual = np.linalg.vector_norm(x, keepdims=True)
+    expected = np.full((1, 1), 14.2828, dtype='float64')
+    assert_equal(actual.shape, expected.shape)
+    assert_almost_equal(actual, expected, double_decimal=3)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_regression.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_regression.py
new file mode 100644
index 0000000000000000000000000000000000000000..7dd058e0fd1e7112af3d23af5e61e7335f80eb18
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/linalg/tests/test_regression.py
@@ -0,0 +1,177 @@
+""" Test functions for linalg module
+"""
+
+import pytest
+
+import numpy as np
+from numpy import linalg, arange, float64, array, dot, transpose
+from numpy.testing import (
+    assert_, assert_raises, assert_equal, assert_array_equal,
+    assert_array_almost_equal, assert_array_less
+)
+
+
+class TestRegression:
+
+    def test_eig_build(self):
+        # Ticket #652
+        rva = array([1.03221168e+02 + 0.j,
+                     -1.91843603e+01 + 0.j,
+                     -6.04004526e-01 + 15.84422474j,
+                     -6.04004526e-01 - 15.84422474j,
+                     -1.13692929e+01 + 0.j,
+                     -6.57612485e-01 + 10.41755503j,
+                     -6.57612485e-01 - 10.41755503j,
+                     1.82126812e+01 + 0.j,
+                     1.06011014e+01 + 0.j,
+                     7.80732773e+00 + 0.j,
+                     -7.65390898e-01 + 0.j,
+                     1.51971555e-15 + 0.j,
+                     -1.51308713e-15 + 0.j])
+        a = arange(13 * 13, dtype=float64)
+        a.shape = (13, 13)
+        a = a % 17
+        va, ve = linalg.eig(a)
+        va.sort()
+        rva.sort()
+        assert_array_almost_equal(va, rva)
+
+    def test_eigh_build(self):
+        # Ticket 662.
+        rvals = [68.60568999, 89.57756725, 106.67185574]
+
+        cov = array([[77.70273908,   3.51489954,  15.64602427],
+                     [3.51489954,  88.97013878,  -1.07431931],
+                     [15.64602427,  -1.07431931,  98.18223512]])
+
+        vals, vecs = linalg.eigh(cov)
+        assert_array_almost_equal(vals, rvals)
+
+    def test_svd_build(self):
+        # Ticket 627.
+        a = array([[0., 1.], [1., 1.], [2., 1.], [3., 1.]])
+        m, n = a.shape
+        u, s, vh = linalg.svd(a)
+
+        b = dot(transpose(u[:, n:]), a)
+
+        assert_array_almost_equal(b, np.zeros((2, 2)))
+
+    def test_norm_vector_badarg(self):
+        # Regression for #786: Frobenius norm for vectors raises
+        # ValueError.
+        assert_raises(ValueError, linalg.norm, array([1., 2., 3.]), 'fro')
+
+    def test_lapack_endian(self):
+        # For bug #1482
+        a = array([[5.7998084,  -2.1825367],
+                   [-2.1825367,   9.85910595]], dtype='>f8')
+        b = array(a, dtype=' 0.5)
+                assert_equal(c, 1)
+                assert_equal(np.linalg.matrix_rank(a), 1)
+                assert_array_less(1, np.linalg.norm(a, ord=2))
+
+                w_svdvals = linalg.svdvals(a)
+                assert_array_almost_equal(w, w_svdvals)
+
+    def test_norm_object_array(self):
+        # gh-7575
+        testvector = np.array([np.array([0, 1]), 0, 0], dtype=object)
+
+        norm = linalg.norm(testvector)
+        assert_array_equal(norm, [0, 1])
+        assert_(norm.dtype == np.dtype('float64'))
+
+        norm = linalg.norm(testvector, ord=1)
+        assert_array_equal(norm, [0, 1])
+        assert_(norm.dtype != np.dtype('float64'))
+
+        norm = linalg.norm(testvector, ord=2)
+        assert_array_equal(norm, [0, 1])
+        assert_(norm.dtype == np.dtype('float64'))
+
+        assert_raises(ValueError, linalg.norm, testvector, ord='fro')
+        assert_raises(ValueError, linalg.norm, testvector, ord='nuc')
+        assert_raises(ValueError, linalg.norm, testvector, ord=np.inf)
+        assert_raises(ValueError, linalg.norm, testvector, ord=-np.inf)
+        assert_raises(ValueError, linalg.norm, testvector, ord=0)
+        assert_raises(ValueError, linalg.norm, testvector, ord=-1)
+        assert_raises(ValueError, linalg.norm, testvector, ord=-2)
+
+        testmatrix = np.array([[np.array([0, 1]), 0, 0],
+                               [0,                0, 0]], dtype=object)
+
+        norm = linalg.norm(testmatrix)
+        assert_array_equal(norm, [0, 1])
+        assert_(norm.dtype == np.dtype('float64'))
+
+        norm = linalg.norm(testmatrix, ord='fro')
+        assert_array_equal(norm, [0, 1])
+        assert_(norm.dtype == np.dtype('float64'))
+
+        assert_raises(TypeError, linalg.norm, testmatrix, ord='nuc')
+        assert_raises(ValueError, linalg.norm, testmatrix, ord=np.inf)
+        assert_raises(ValueError, linalg.norm, testmatrix, ord=-np.inf)
+        assert_raises(ValueError, linalg.norm, testmatrix, ord=0)
+        assert_raises(ValueError, linalg.norm, testmatrix, ord=1)
+        assert_raises(ValueError, linalg.norm, testmatrix, ord=-1)
+        assert_raises(TypeError, linalg.norm, testmatrix, ord=2)
+        assert_raises(TypeError, linalg.norm, testmatrix, ord=-2)
+        assert_raises(ValueError, linalg.norm, testmatrix, ord=3)
+
+    def test_lstsq_complex_larger_rhs(self):
+        # gh-9891
+        size = 20
+        n_rhs = 70
+        G = np.random.randn(size, size) + 1j * np.random.randn(size, size)
+        u = np.random.randn(size, n_rhs) + 1j * np.random.randn(size, n_rhs)
+        b = G.dot(u)
+        # This should work without segmentation fault.
+        u_lstsq, res, rank, sv = linalg.lstsq(G, b, rcond=None)
+        # check results just in case
+        assert_array_almost_equal(u_lstsq, u)
+
+    @pytest.mark.parametrize("upper", [True, False])
+    def test_cholesky_empty_array(self, upper):
+        # gh-25840 - upper=True hung before.
+        res = np.linalg.cholesky(np.zeros((0, 0)), upper=upper)
+        assert res.size == 0
+
+    @pytest.mark.parametrize("rtol", [0.0, [0.0] * 4, np.zeros((4,))])
+    def test_matrix_rank_rtol_argument(self, rtol):
+        # gh-25877
+        x = np.zeros((4, 3, 2))
+        res = np.linalg.matrix_rank(x, rtol=rtol)
+        assert res.shape == (4,)
+
+    def test_openblas_threading(self):
+        # gh-27036
+        # Test whether matrix multiplication involving a large matrix always
+        # gives the same (correct) answer
+        x = np.arange(500000, dtype=np.float64)
+        src = np.vstack((x, -10*x)).T
+        matrix = np.array([[0, 1], [1, 0]])
+        expected = np.vstack((-10*x, x)).T  # src @ matrix
+        for i in range(200):
+            result = src @ matrix
+            mismatches = (~np.isclose(result, expected)).sum()
+            if mismatches != 0:
+                assert False, ("unexpected result from matmul, "
+                    "probably due to OpenBLAS threading issues")
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/API_CHANGES.txt b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/API_CHANGES.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a3d792a1fad983fc0b8403870c2e2d801dabf314
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/API_CHANGES.txt
@@ -0,0 +1,135 @@
+.. -*- rest -*-
+
+==================================================
+API changes in the new masked array implementation
+==================================================
+
+Masked arrays are subclasses of ndarray
+---------------------------------------
+
+Contrary to the original implementation, masked arrays are now regular
+ndarrays::
+
+  >>> x = masked_array([1,2,3],mask=[0,0,1])
+  >>> print isinstance(x, numpy.ndarray)
+  True
+
+
+``_data`` returns a view of the masked array
+--------------------------------------------
+
+Masked arrays are composed of a ``_data`` part and a ``_mask``. Accessing the
+``_data`` part will return a regular ndarray or any of its subclass, depending
+on the initial data::
+
+  >>> x = masked_array(numpy.matrix([[1,2],[3,4]]),mask=[[0,0],[0,1]])
+  >>> print x._data
+  [[1 2]
+   [3 4]]
+  >>> print type(x._data)
+  
+
+
+In practice, ``_data`` is implemented as a property, not as an attribute.
+Therefore, you cannot access it directly, and some simple tests such as the
+following one will fail::
+
+  >>>x._data is x._data
+  False
+
+
+``filled(x)`` can return a subclass of ndarray
+----------------------------------------------
+The function ``filled(a)`` returns an array of the same type as ``a._data``::
+
+  >>> x = masked_array(numpy.matrix([[1,2],[3,4]]),mask=[[0,0],[0,1]])
+  >>> y = filled(x)
+  >>> print type(y)
+  
+  >>> print y
+  matrix([[     1,      2],
+          [     3, 999999]])
+
+
+``put``, ``putmask`` behave like their ndarray counterparts
+-----------------------------------------------------------
+
+Previously, ``putmask`` was used like this::
+
+  mask = [False,True,True]
+  x = array([1,4,7],mask=mask)
+  putmask(x,mask,[3])
+
+which translated to::
+
+  x[~mask] = [3]
+
+(Note that a ``True``-value in a mask suppresses a value.)
+
+In other words, the mask had the same length as ``x``, whereas
+``values`` had ``sum(~mask)`` elements.
+
+Now, the behaviour is similar to that of ``ndarray.putmask``, where
+the mask and the values are both the same length as ``x``, i.e.
+
+::
+
+  putmask(x,mask,[3,0,0])
+
+
+``fill_value`` is a property
+----------------------------
+
+``fill_value`` is no longer a method, but a property::
+
+  >>> print x.fill_value
+  999999
+
+``cumsum`` and ``cumprod`` ignore missing values
+------------------------------------------------
+
+Missing values are assumed to be the identity element, i.e. 0 for
+``cumsum`` and 1 for ``cumprod``::
+
+  >>> x = N.ma.array([1,2,3,4],mask=[False,True,False,False])
+  >>> print x
+  [1 -- 3 4]
+  >>> print x.cumsum()
+  [1 -- 4 8]
+  >> print x.cumprod()
+  [1 -- 3 12]
+
+``bool(x)`` raises a ValueError
+-------------------------------
+
+Masked arrays now behave like regular ``ndarrays``, in that they cannot be
+converted to booleans:
+
+::
+
+  >>> x = N.ma.array([1,2,3])
+  >>> bool(x)
+  Traceback (most recent call last):
+    File "", line 1, in 
+  ValueError: The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()
+
+
+==================================
+New features (non exhaustive list)
+==================================
+
+``mr_``
+-------
+
+``mr_`` mimics the behavior of ``r_`` for masked arrays::
+
+  >>> np.ma.mr_[3,4,5]
+  masked_array(data = [3 4 5],
+        mask = False,
+        fill_value=999999)
+
+
+``anom``
+--------
+
+The ``anom`` method returns the deviations from the average (anomalies).
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/LICENSE b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..b41aae0c89a0f2486843d395f972db759c73c4b8
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/LICENSE
@@ -0,0 +1,24 @@
+* Copyright (c) 2006, University of Georgia and Pierre G.F. Gerard-Marchant
+* All rights reserved.
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions are met:
+*
+*     * Redistributions of source code must retain the above copyright
+*       notice, this list of conditions and the following disclaimer.
+*     * Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions and the following disclaimer in the
+*       documentation and/or other materials provided with the distribution.
+*     * Neither the name of the University of Georgia nor the
+*       names of its contributors may be used to endorse or promote products
+*       derived from this software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND ANY
+* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+* DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
+* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
\ No newline at end of file
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/README.rst b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/README.rst
new file mode 100644
index 0000000000000000000000000000000000000000..cd1010329de627e2fe89e51d593e28e9892f69c2
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/README.rst
@@ -0,0 +1,236 @@
+==================================
+A guide to masked arrays in NumPy
+==================================
+
+.. Contents::
+
+See http://www.scipy.org/scipy/numpy/wiki/MaskedArray (dead link)
+for updates of this document.
+
+
+History
+-------
+
+As a regular user of MaskedArray, I (Pierre G.F. Gerard-Marchant) became
+increasingly frustrated with the subclassing of masked arrays (even if
+I can only blame my inexperience). I needed to develop a class of arrays
+that could store some additional information along with numerical values,
+while keeping the possibility for missing data (picture storing a series
+of dates along with measurements, what would later become the `TimeSeries
+Scikit `__
+(dead link).
+
+I started to implement such a class, but then quickly realized that
+any additional information disappeared when processing these subarrays
+(for example, adding a constant value to a subarray would erase its
+dates). I ended up writing the equivalent of *numpy.core.ma* for my
+particular class, ufuncs included. Everything went fine until I needed to
+subclass my new class, when more problems showed up: some attributes of
+the new subclass were lost during processing. I identified the culprit as
+MaskedArray, which returns masked ndarrays when I expected masked
+arrays of my class. I was preparing myself to rewrite *numpy.core.ma*
+when I forced myself to learn how to subclass ndarrays. As I became more
+familiar with the *__new__* and *__array_finalize__* methods,
+I started to wonder why masked arrays were objects, and not ndarrays,
+and whether it wouldn't be more convenient for subclassing if they did
+behave like regular ndarrays.
+
+The new *maskedarray* is what I eventually come up with. The
+main differences with the initial *numpy.core.ma* package are
+that MaskedArray is now a subclass of *ndarray* and that the
+*_data* section can now be any subclass of *ndarray*. Apart from a
+couple of issues listed below, the behavior of the new MaskedArray
+class reproduces the old one. Initially the *maskedarray*
+implementation was marginally slower than *numpy.ma* in some areas,
+but work is underway to speed it up; the expectation is that it can be
+made substantially faster than the present *numpy.ma*.
+
+
+Note that if the subclass has some special methods and
+attributes, they are not propagated to the masked version:
+this would require a modification of the *__getattribute__*
+method (first trying *ndarray.__getattribute__*, then trying
+*self._data.__getattribute__* if an exception is raised in the first
+place), which really slows things down.
+
+Main differences
+----------------
+
+ * The *_data* part of the masked array can be any subclass of ndarray (but not recarray, cf below).
+ * *fill_value* is now a property, not a function.
+ * in the majority of cases, the mask is forced to *nomask* when no value is actually masked. A notable exception is when a masked array (with no masked values) has just been unpickled.
+ * I got rid of the *share_mask* flag, I never understood its purpose.
+ * *put*, *putmask* and *take* now mimic the ndarray methods, to avoid unpleasant surprises. Moreover, *put* and *putmask* both update the mask when needed.  * if *a* is a masked array, *bool(a)* raises a *ValueError*, as it does with ndarrays.
+ * in the same way, the comparison of two masked arrays is a masked array, not a boolean
+ * *filled(a)* returns an array of the same subclass as *a._data*, and no test is performed on whether it is contiguous or not.
+ * the mask is always printed, even if it's *nomask*, which makes things easy (for me at least) to remember that a masked array is used.
+ * *cumsum* works as if the *_data* array was filled with 0. The mask is preserved, but not updated.
+ * *cumprod* works as if the *_data* array was filled with 1. The mask is preserved, but not updated.
+
+New features
+------------
+
+This list is non-exhaustive...
+
+ * the *mr_* function mimics *r_* for masked arrays.
+ * the *anom* method returns the anomalies (deviations from the average)
+
+Using the new package with numpy.core.ma
+----------------------------------------
+
+I tried to make sure that the new package can understand old masked
+arrays. Unfortunately, there's no upward compatibility.
+
+For example:
+
+>>> import numpy.core.ma as old_ma
+>>> import maskedarray as new_ma
+>>> x = old_ma.array([1,2,3,4,5], mask=[0,0,1,0,0])
+>>> x
+array(data =
+ [     1      2 999999      4      5],
+      mask =
+ [False False True False False],
+      fill_value=999999)
+>>> y = new_ma.array([1,2,3,4,5], mask=[0,0,1,0,0])
+>>> y
+array(data = [1 2 -- 4 5],
+      mask = [False False True False False],
+      fill_value=999999)
+>>> x==y
+array(data =
+ [True True True True True],
+      mask =
+ [False False True False False],
+      fill_value=?)
+>>> old_ma.getmask(x) == new_ma.getmask(x)
+array([True, True, True, True, True])
+>>> old_ma.getmask(y) == new_ma.getmask(y)
+array([True, True, False, True, True])
+>>> old_ma.getmask(y)
+False
+
+
+Using maskedarray with matplotlib
+---------------------------------
+
+Starting with matplotlib 0.91.2, the masked array importing will work with
+the maskedarray branch) as well as with earlier versions.
+
+By default matplotlib still uses numpy.ma, but there is an rcParams setting
+that you can use to select maskedarray instead.  In the matplotlibrc file
+you will find::
+
+  #maskedarray : False       # True to use external maskedarray module
+                             # instead of numpy.ma; this is a temporary #
+                             setting for testing maskedarray.
+
+
+Uncomment and set to True to select maskedarray everywhere.
+Alternatively, you can test a script with maskedarray by using a
+command-line option, e.g.::
+
+  python simple_plot.py --maskedarray
+
+
+Masked records
+--------------
+
+Like *numpy.ma.core*, the *ndarray*-based implementation
+of MaskedArray is limited when working with records: you can
+mask any record of the array, but not a field in a record. If you
+need this feature, you may want to give the *mrecords* package
+a try (available in the *maskedarray* directory in the scipy
+sandbox). This module defines a new class, *MaskedRecord*. An
+instance of this class accepts a *recarray* as data, and uses two
+masks: the *fieldmask* has as many entries as records in the array,
+each entry with the same fields as a record, but of boolean types:
+they indicate whether the field is masked or not; a record entry
+is flagged as masked in the *mask* array if all the fields are
+masked. A few examples in the file should give you an idea of what
+can be done. Note that *mrecords* is still experimental...
+
+Optimizing maskedarray
+----------------------
+
+Should masked arrays be filled before processing or not?
+--------------------------------------------------------
+
+In the current implementation, most operations on masked arrays involve
+the following steps:
+
+ * the input arrays are filled
+ * the operation is performed on the filled arrays
+ * the mask is set for the results, from the combination of the input masks and the mask corresponding to the domain of the operation.
+
+For example, consider the division of two masked arrays::
+
+  import numpy
+  import maskedarray as ma
+  x = ma.array([1,2,3,4],mask=[1,0,0,0], dtype=numpy.float64)
+  y = ma.array([-1,0,1,2], mask=[0,0,0,1], dtype=numpy.float64)
+
+The division of x by y is then computed as::
+
+  d1 = x.filled(0) # d1 = array([0., 2., 3., 4.])
+  d2 = y.filled(1) # array([-1.,  0.,  1.,  1.])
+  m = ma.mask_or(ma.getmask(x), ma.getmask(y)) # m =
+  array([True,False,False,True])
+  dm = ma.divide.domain(d1,d2) # array([False,  True, False, False])
+  result = (d1/d2).view(MaskedArray) # masked_array([-0. inf, 3., 4.])
+  result._mask = logical_or(m, dm)
+
+Note that a division by zero takes place. To avoid it, we can consider
+to fill the input arrays, taking the domain mask into account, so that::
+
+  d1 = x._data.copy() # d1 = array([1., 2., 3., 4.])
+  d2 = y._data.copy() # array([-1.,  0.,  1.,  2.])
+  dm = ma.divide.domain(d1,d2) # array([False,  True, False, False])
+  numpy.putmask(d2, dm, 1) # d2 = array([-1.,  1.,  1.,  2.])
+  m = ma.mask_or(ma.getmask(x), ma.getmask(y)) # m =
+  array([True,False,False,True])
+  result = (d1/d2).view(MaskedArray) # masked_array([-1. 0., 3., 2.])
+  result._mask = logical_or(m, dm)
+
+Note that the *.copy()* is required to avoid updating the inputs with
+*putmask*.  The *.filled()* method also involves a *.copy()*.
+
+A third possibility consists in avoid filling the arrays::
+
+  d1 = x._data # d1 = array([1., 2., 3., 4.])
+  d2 = y._data # array([-1.,  0.,  1.,  2.])
+  dm = ma.divide.domain(d1,d2) # array([False,  True, False, False])
+  m = ma.mask_or(ma.getmask(x), ma.getmask(y)) # m =
+  array([True,False,False,True])
+  result = (d1/d2).view(MaskedArray) # masked_array([-1. inf, 3., 2.])
+  result._mask = logical_or(m, dm)
+
+Note that here again the division by zero takes place.
+
+A quick benchmark gives the following results:
+
+ * *numpy.ma.divide*  : 2.69 ms per loop
+ * classical division     : 2.21 ms per loop
+ * division w/ prefilling : 2.34 ms per loop
+ * division w/o filling   : 1.55 ms per loop
+
+So, is it worth filling the arrays beforehand ? Yes, if we are interested
+in avoiding floating-point exceptions that may fill the result with infs
+and nans. No, if we are only interested into speed...
+
+
+Thanks
+------
+
+I'd like to thank Paul Dubois, Travis Oliphant and Sasha for the
+original masked array package: without you, I would never have started
+that (it might be argued that I shouldn't have anyway, but that's
+another story...).  I also wish to extend these thanks to Reggie Dugard
+and Eric Firing for their suggestions and numerous improvements.
+
+
+Revision notes
+--------------
+
+  * 08/25/2007 : Creation of this page
+  * 01/23/2007 : The package has been moved to the SciPy sandbox, and is regularly updated: please check out your SVN version!
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..03e9fcd075cc06da022f48845e03ed9e28eca765
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/__init__.py
@@ -0,0 +1,54 @@
+"""
+=============
+Masked Arrays
+=============
+
+Arrays sometimes contain invalid or missing data.  When doing operations
+on such arrays, we wish to suppress invalid values, which is the purpose masked
+arrays fulfill (an example of typical use is given below).
+
+For example, examine the following array:
+
+>>> x = np.array([2, 1, 3, np.nan, 5, 2, 3, np.nan])
+
+When we try to calculate the mean of the data, the result is undetermined:
+
+>>> np.mean(x)
+nan
+
+The mean is calculated using roughly ``np.sum(x)/len(x)``, but since
+any number added to ``NaN`` [1]_ produces ``NaN``, this doesn't work.  Enter
+masked arrays:
+
+>>> m = np.ma.masked_array(x, np.isnan(x))
+>>> m
+masked_array(data=[2.0, 1.0, 3.0, --, 5.0, 2.0, 3.0, --],
+             mask=[False, False, False, True, False, False, False, True],
+      fill_value=1e+20)
+
+Here, we construct a masked array that suppress all ``NaN`` values.  We
+may now proceed to calculate the mean of the other values:
+
+>>> np.mean(m)
+2.6666666666666665
+
+.. [1] Not-a-Number, a floating point value that is the result of an
+       invalid operation.
+
+.. moduleauthor:: Pierre Gerard-Marchant
+.. moduleauthor:: Jarrod Millman
+
+"""
+from . import core
+from .core import *
+
+from . import extras
+from .extras import *
+
+__all__ = ['core', 'extras']
+__all__ += core.__all__
+__all__ += extras.__all__
+
+from numpy._pytesttester import PytestTester
+test = PytestTester(__name__)
+del PytestTester
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/__init__.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/__init__.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..7e38d1793460bf1e8965809def8b826564eed915
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/__init__.pyi
@@ -0,0 +1,458 @@
+from . import core, extras
+from .core import (
+    MAError,
+    MaskError,
+    MaskType,
+    MaskedArray,
+    abs,
+    absolute,
+    add,
+    all,
+    allclose,
+    allequal,
+    alltrue,
+    amax,
+    amin,
+    angle,
+    anom,
+    anomalies,
+    any,
+    append,
+    arange,
+    arccos,
+    arccosh,
+    arcsin,
+    arcsinh,
+    arctan,
+    arctan2,
+    arctanh,
+    argmax,
+    argmin,
+    argsort,
+    around,
+    array,
+    asanyarray,
+    asarray,
+    bool_,
+    bitwise_and,
+    bitwise_or,
+    bitwise_xor,
+    ceil,
+    choose,
+    clip,
+    common_fill_value,
+    compress,
+    compressed,
+    concatenate,
+    conjugate,
+    convolve,
+    copy,
+    correlate,
+    cos,
+    cosh,
+    count,
+    cumprod,
+    cumsum,
+    default_fill_value,
+    diag,
+    diagonal,
+    diff,
+    divide,
+    empty,
+    empty_like,
+    equal,
+    exp,
+    expand_dims,
+    fabs,
+    filled,
+    fix_invalid,
+    flatten_mask,
+    flatten_structured_array,
+    floor,
+    floor_divide,
+    fmod,
+    frombuffer,
+    fromflex,
+    fromfunction,
+    getdata,
+    getmask,
+    getmaskarray,
+    greater,
+    greater_equal,
+    harden_mask,
+    hypot,
+    identity,
+    ids,
+    indices,
+    inner,
+    innerproduct,
+    isMA,
+    isMaskedArray,
+    is_mask,
+    is_masked,
+    isarray,
+    left_shift,
+    less,
+    less_equal,
+    log,
+    log10,
+    log2,
+    logical_and,
+    logical_not,
+    logical_or,
+    logical_xor,
+    make_mask,
+    make_mask_descr,
+    make_mask_none,
+    mask_or,
+    masked,
+    masked_array,
+    masked_equal,
+    masked_greater,
+    masked_greater_equal,
+    masked_inside,
+    masked_invalid,
+    masked_less,
+    masked_less_equal,
+    masked_not_equal,
+    masked_object,
+    masked_outside,
+    masked_print_option,
+    masked_singleton,
+    masked_values,
+    masked_where,
+    max,
+    maximum,
+    maximum_fill_value,
+    mean,
+    min,
+    minimum,
+    minimum_fill_value,
+    mod,
+    multiply,
+    mvoid,
+    ndim,
+    negative,
+    nomask,
+    nonzero,
+    not_equal,
+    ones,
+    ones_like,
+    outer,
+    outerproduct,
+    power,
+    prod,
+    product,
+    ptp,
+    put,
+    putmask,
+    ravel,
+    remainder,
+    repeat,
+    reshape,
+    resize,
+    right_shift,
+    round,
+    round_,
+    set_fill_value,
+    shape,
+    sin,
+    sinh,
+    size,
+    soften_mask,
+    sometrue,
+    sort,
+    sqrt,
+    squeeze,
+    std,
+    subtract,
+    sum,
+    swapaxes,
+    take,
+    tan,
+    tanh,
+    trace,
+    transpose,
+    true_divide,
+    var,
+    where,
+    zeros,
+    zeros_like,
+)
+from .extras import (
+    apply_along_axis,
+    apply_over_axes,
+    atleast_1d,
+    atleast_2d,
+    atleast_3d,
+    average,
+    clump_masked,
+    clump_unmasked,
+    column_stack,
+    compress_cols,
+    compress_nd,
+    compress_rowcols,
+    compress_rows,
+    count_masked,
+    corrcoef,
+    cov,
+    diagflat,
+    dot,
+    dstack,
+    ediff1d,
+    flatnotmasked_contiguous,
+    flatnotmasked_edges,
+    hsplit,
+    hstack,
+    isin,
+    in1d,
+    intersect1d,
+    mask_cols,
+    mask_rowcols,
+    mask_rows,
+    masked_all,
+    masked_all_like,
+    median,
+    mr_,
+    ndenumerate,
+    notmasked_contiguous,
+    notmasked_edges,
+    polyfit,
+    row_stack,
+    setdiff1d,
+    setxor1d,
+    stack,
+    unique,
+    union1d,
+    vander,
+    vstack,
+)
+
+__all__ = [
+    "core",
+    "extras",
+    "MAError",
+    "MaskError",
+    "MaskType",
+    "MaskedArray",
+    "abs",
+    "absolute",
+    "add",
+    "all",
+    "allclose",
+    "allequal",
+    "alltrue",
+    "amax",
+    "amin",
+    "angle",
+    "anom",
+    "anomalies",
+    "any",
+    "append",
+    "arange",
+    "arccos",
+    "arccosh",
+    "arcsin",
+    "arcsinh",
+    "arctan",
+    "arctan2",
+    "arctanh",
+    "argmax",
+    "argmin",
+    "argsort",
+    "around",
+    "array",
+    "asanyarray",
+    "asarray",
+    "bitwise_and",
+    "bitwise_or",
+    "bitwise_xor",
+    "bool_",
+    "ceil",
+    "choose",
+    "clip",
+    "common_fill_value",
+    "compress",
+    "compressed",
+    "concatenate",
+    "conjugate",
+    "convolve",
+    "copy",
+    "correlate",
+    "cos",
+    "cosh",
+    "count",
+    "cumprod",
+    "cumsum",
+    "default_fill_value",
+    "diag",
+    "diagonal",
+    "diff",
+    "divide",
+    "empty",
+    "empty_like",
+    "equal",
+    "exp",
+    "expand_dims",
+    "fabs",
+    "filled",
+    "fix_invalid",
+    "flatten_mask",
+    "flatten_structured_array",
+    "floor",
+    "floor_divide",
+    "fmod",
+    "frombuffer",
+    "fromflex",
+    "fromfunction",
+    "getdata",
+    "getmask",
+    "getmaskarray",
+    "greater",
+    "greater_equal",
+    "harden_mask",
+    "hypot",
+    "identity",
+    "ids",
+    "indices",
+    "inner",
+    "innerproduct",
+    "isMA",
+    "isMaskedArray",
+    "is_mask",
+    "is_masked",
+    "isarray",
+    "left_shift",
+    "less",
+    "less_equal",
+    "log",
+    "log10",
+    "log2",
+    "logical_and",
+    "logical_not",
+    "logical_or",
+    "logical_xor",
+    "make_mask",
+    "make_mask_descr",
+    "make_mask_none",
+    "mask_or",
+    "masked",
+    "masked_array",
+    "masked_equal",
+    "masked_greater",
+    "masked_greater_equal",
+    "masked_inside",
+    "masked_invalid",
+    "masked_less",
+    "masked_less_equal",
+    "masked_not_equal",
+    "masked_object",
+    "masked_outside",
+    "masked_print_option",
+    "masked_singleton",
+    "masked_values",
+    "masked_where",
+    "max",
+    "maximum",
+    "maximum_fill_value",
+    "mean",
+    "min",
+    "minimum",
+    "minimum_fill_value",
+    "mod",
+    "multiply",
+    "mvoid",
+    "ndim",
+    "negative",
+    "nomask",
+    "nonzero",
+    "not_equal",
+    "ones",
+    "ones_like",
+    "outer",
+    "outerproduct",
+    "power",
+    "prod",
+    "product",
+    "ptp",
+    "put",
+    "putmask",
+    "ravel",
+    "remainder",
+    "repeat",
+    "reshape",
+    "resize",
+    "right_shift",
+    "round",
+    "round_",
+    "set_fill_value",
+    "shape",
+    "sin",
+    "sinh",
+    "size",
+    "soften_mask",
+    "sometrue",
+    "sort",
+    "sqrt",
+    "squeeze",
+    "std",
+    "subtract",
+    "sum",
+    "swapaxes",
+    "take",
+    "tan",
+    "tanh",
+    "trace",
+    "transpose",
+    "true_divide",
+    "var",
+    "where",
+    "zeros",
+    "zeros_like",
+    "apply_along_axis",
+    "apply_over_axes",
+    "atleast_1d",
+    "atleast_2d",
+    "atleast_3d",
+    "average",
+    "clump_masked",
+    "clump_unmasked",
+    "column_stack",
+    "compress_cols",
+    "compress_nd",
+    "compress_rowcols",
+    "compress_rows",
+    "count_masked",
+    "corrcoef",
+    "cov",
+    "diagflat",
+    "dot",
+    "dstack",
+    "ediff1d",
+    "flatnotmasked_contiguous",
+    "flatnotmasked_edges",
+    "hsplit",
+    "hstack",
+    "isin",
+    "in1d",
+    "intersect1d",
+    "mask_cols",
+    "mask_rowcols",
+    "mask_rows",
+    "masked_all",
+    "masked_all_like",
+    "median",
+    "mr_",
+    "ndenumerate",
+    "notmasked_contiguous",
+    "notmasked_edges",
+    "polyfit",
+    "row_stack",
+    "setdiff1d",
+    "setxor1d",
+    "stack",
+    "unique",
+    "union1d",
+    "vander",
+    "vstack",
+]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/core.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/core.py
new file mode 100644
index 0000000000000000000000000000000000000000..97d6c9eafa5a4c5cff71ad3b0e0a5951bc90f000
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/core.py
@@ -0,0 +1,8959 @@
+"""
+numpy.ma : a package to handle missing or invalid values.
+
+This package was initially written for numarray by Paul F. Dubois
+at Lawrence Livermore National Laboratory.
+In 2006, the package was completely rewritten by Pierre Gerard-Marchant
+(University of Georgia) to make the MaskedArray class a subclass of ndarray,
+and to improve support of structured arrays.
+
+
+Copyright 1999, 2000, 2001 Regents of the University of California.
+Released for unlimited redistribution.
+
+* Adapted for numpy_core 2005 by Travis Oliphant and (mainly) Paul Dubois.
+* Subclassing of the base `ndarray` 2006 by Pierre Gerard-Marchant
+  (pgmdevlist_AT_gmail_DOT_com)
+* Improvements suggested by Reggie Dugard (reggie_AT_merfinllc_DOT_com)
+
+.. moduleauthor:: Pierre Gerard-Marchant
+
+"""
+# pylint: disable-msg=E1002
+import builtins
+import functools
+import inspect
+import operator
+import warnings
+import textwrap
+import re
+from typing import Dict
+
+import numpy as np
+import numpy._core.umath as umath
+import numpy._core.numerictypes as ntypes
+from numpy._core import multiarray as mu
+from numpy import ndarray, amax, amin, iscomplexobj, bool_, _NoValue, angle
+from numpy import array as narray, expand_dims, iinfo, finfo
+from numpy._core.numeric import normalize_axis_tuple
+from numpy._utils._inspect import getargspec, formatargspec
+from numpy._utils import set_module
+
+
+__all__ = [
+    'MAError', 'MaskError', 'MaskType', 'MaskedArray', 'abs', 'absolute',
+    'add', 'all', 'allclose', 'allequal', 'alltrue', 'amax', 'amin',
+    'angle', 'anom', 'anomalies', 'any', 'append', 'arange', 'arccos',
+    'arccosh', 'arcsin', 'arcsinh', 'arctan', 'arctan2', 'arctanh',
+    'argmax', 'argmin', 'argsort', 'around', 'array', 'asanyarray',
+    'asarray', 'bitwise_and', 'bitwise_or', 'bitwise_xor', 'bool_', 'ceil',
+    'choose', 'clip', 'common_fill_value', 'compress', 'compressed',
+    'concatenate', 'conjugate', 'convolve', 'copy', 'correlate', 'cos', 'cosh',
+    'count', 'cumprod', 'cumsum', 'default_fill_value', 'diag', 'diagonal',
+    'diff', 'divide', 'empty', 'empty_like', 'equal', 'exp',
+    'expand_dims', 'fabs', 'filled', 'fix_invalid', 'flatten_mask',
+    'flatten_structured_array', 'floor', 'floor_divide', 'fmod',
+    'frombuffer', 'fromflex', 'fromfunction', 'getdata', 'getmask',
+    'getmaskarray', 'greater', 'greater_equal', 'harden_mask', 'hypot',
+    'identity', 'ids', 'indices', 'inner', 'innerproduct', 'isMA',
+    'isMaskedArray', 'is_mask', 'is_masked', 'isarray', 'left_shift',
+    'less', 'less_equal', 'log', 'log10', 'log2',
+    'logical_and', 'logical_not', 'logical_or', 'logical_xor', 'make_mask',
+    'make_mask_descr', 'make_mask_none', 'mask_or', 'masked',
+    'masked_array', 'masked_equal', 'masked_greater',
+    'masked_greater_equal', 'masked_inside', 'masked_invalid',
+    'masked_less', 'masked_less_equal', 'masked_not_equal',
+    'masked_object', 'masked_outside', 'masked_print_option',
+    'masked_singleton', 'masked_values', 'masked_where', 'max', 'maximum',
+    'maximum_fill_value', 'mean', 'min', 'minimum', 'minimum_fill_value',
+    'mod', 'multiply', 'mvoid', 'ndim', 'negative', 'nomask', 'nonzero',
+    'not_equal', 'ones', 'ones_like', 'outer', 'outerproduct', 'power', 'prod',
+    'product', 'ptp', 'put', 'putmask', 'ravel', 'remainder',
+    'repeat', 'reshape', 'resize', 'right_shift', 'round', 'round_',
+    'set_fill_value', 'shape', 'sin', 'sinh', 'size', 'soften_mask',
+    'sometrue', 'sort', 'sqrt', 'squeeze', 'std', 'subtract', 'sum',
+    'swapaxes', 'take', 'tan', 'tanh', 'trace', 'transpose', 'true_divide',
+    'var', 'where', 'zeros', 'zeros_like',
+    ]
+
+MaskType = np.bool
+nomask = MaskType(0)
+
+class MaskedArrayFutureWarning(FutureWarning):
+    pass
+
+def _deprecate_argsort_axis(arr):
+    """
+    Adjust the axis passed to argsort, warning if necessary
+
+    Parameters
+    ----------
+    arr
+        The array which argsort was called on
+
+    np.ma.argsort has a long-term bug where the default of the axis argument
+    is wrong (gh-8701), which now must be kept for backwards compatibility.
+    Thankfully, this only makes a difference when arrays are 2- or more-
+    dimensional, so we only need a warning then.
+    """
+    if arr.ndim <= 1:
+        # no warning needed - but switch to -1 anyway, to avoid surprising
+        # subclasses, which are more likely to implement scalar axes.
+        return -1
+    else:
+        # 2017-04-11, Numpy 1.13.0, gh-8701: warn on axis default
+        warnings.warn(
+            "In the future the default for argsort will be axis=-1, not the "
+            "current None, to match its documentation and np.argsort. "
+            "Explicitly pass -1 or None to silence this warning.",
+            MaskedArrayFutureWarning, stacklevel=3)
+        return None
+
+
+def doc_note(initialdoc, note):
+    """
+    Adds a Notes section to an existing docstring.
+
+    """
+    if initialdoc is None:
+        return
+    if note is None:
+        return initialdoc
+
+    notesplit = re.split(r'\n\s*?Notes\n\s*?-----', inspect.cleandoc(initialdoc))
+    notedoc = "\n\nNotes\n-----\n%s\n" % inspect.cleandoc(note)
+
+    return ''.join(notesplit[:1] + [notedoc] + notesplit[1:])
+
+
+def get_object_signature(obj):
+    """
+    Get the signature from obj
+
+    """
+    try:
+        sig = formatargspec(*getargspec(obj))
+    except TypeError:
+        sig = ''
+    return sig
+
+
+###############################################################################
+#                              Exceptions                                     #
+###############################################################################
+
+
+class MAError(Exception):
+    """
+    Class for masked array related errors.
+
+    """
+    pass
+
+
+class MaskError(MAError):
+    """
+    Class for mask related errors.
+
+    """
+    pass
+
+
+###############################################################################
+#                           Filling options                                   #
+###############################################################################
+
+
+# b: boolean - c: complex - f: floats - i: integer - O: object - S: string
+default_filler = {'b': True,
+                  'c': 1.e20 + 0.0j,
+                  'f': 1.e20,
+                  'i': 999999,
+                  'O': '?',
+                  'S': b'N/A',
+                  'u': 999999,
+                  'V': b'???',
+                  'U': 'N/A'
+                  }
+
+# Add datetime64 and timedelta64 types
+for v in ["Y", "M", "W", "D", "h", "m", "s", "ms", "us", "ns", "ps",
+          "fs", "as"]:
+    default_filler["M8[" + v + "]"] = np.datetime64("NaT", v)
+    default_filler["m8[" + v + "]"] = np.timedelta64("NaT", v)
+
+float_types_list = [np.half, np.single, np.double, np.longdouble,
+                    np.csingle, np.cdouble, np.clongdouble]
+
+_minvals: Dict[type, int] = {}
+_maxvals: Dict[type, int] = {}
+
+for sctype in ntypes.sctypeDict.values():
+    scalar_dtype = np.dtype(sctype)
+
+    if scalar_dtype.kind in "Mm":
+        info = np.iinfo(np.int64)
+        min_val, max_val = info.min + 1, info.max
+    elif np.issubdtype(scalar_dtype, np.integer):
+        info = np.iinfo(sctype)
+        min_val, max_val = info.min, info.max
+    elif np.issubdtype(scalar_dtype, np.floating):
+        info = np.finfo(sctype)
+        min_val, max_val = info.min, info.max
+    elif scalar_dtype.kind == "b":
+        min_val, max_val = 0, 1
+    else:
+        min_val, max_val = None, None
+
+    _minvals[sctype] = min_val
+    _maxvals[sctype] = max_val
+
+max_filler = _minvals
+max_filler.update([(k, -np.inf) for k in float_types_list[:4]])
+max_filler.update([(k, complex(-np.inf, -np.inf)) for k in float_types_list[-3:]])
+
+min_filler = _maxvals
+min_filler.update([(k,  +np.inf) for k in float_types_list[:4]])
+min_filler.update([(k, complex(+np.inf, +np.inf)) for k in float_types_list[-3:]])
+
+del float_types_list
+
+def _recursive_fill_value(dtype, f):
+    """
+    Recursively produce a fill value for `dtype`, calling f on scalar dtypes
+    """
+    if dtype.names is not None:
+        # We wrap into `array` here, which ensures we use NumPy cast rules
+        # for integer casts, this allows the use of 99999 as a fill value
+        # for int8.
+        # TODO: This is probably a mess, but should best preserve behavior?
+        vals = tuple(
+                np.array(_recursive_fill_value(dtype[name], f))
+                for name in dtype.names)
+        return np.array(vals, dtype=dtype)[()]  # decay to void scalar from 0d
+    elif dtype.subdtype:
+        subtype, shape = dtype.subdtype
+        subval = _recursive_fill_value(subtype, f)
+        return np.full(shape, subval)
+    else:
+        return f(dtype)
+
+
+def _get_dtype_of(obj):
+    """ Convert the argument for *_fill_value into a dtype """
+    if isinstance(obj, np.dtype):
+        return obj
+    elif hasattr(obj, 'dtype'):
+        return obj.dtype
+    else:
+        return np.asanyarray(obj).dtype
+
+
+def default_fill_value(obj):
+    """
+    Return the default fill value for the argument object.
+
+    The default filling value depends on the datatype of the input
+    array or the type of the input scalar:
+
+       ========  ========
+       datatype  default
+       ========  ========
+       bool      True
+       int       999999
+       float     1.e20
+       complex   1.e20+0j
+       object    '?'
+       string    'N/A'
+       ========  ========
+
+    For structured types, a structured scalar is returned, with each field the
+    default fill value for its type.
+
+    For subarray types, the fill value is an array of the same size containing
+    the default scalar fill value.
+
+    Parameters
+    ----------
+    obj : ndarray, dtype or scalar
+        The array data-type or scalar for which the default fill value
+        is returned.
+
+    Returns
+    -------
+    fill_value : scalar
+        The default fill value.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.ma.default_fill_value(1)
+    999999
+    >>> np.ma.default_fill_value(np.array([1.1, 2., np.pi]))
+    1e+20
+    >>> np.ma.default_fill_value(np.dtype(complex))
+    (1e+20+0j)
+
+    """
+    def _scalar_fill_value(dtype):
+        if dtype.kind in 'Mm':
+            return default_filler.get(dtype.str[1:], '?')
+        else:
+            return default_filler.get(dtype.kind, '?')
+
+    dtype = _get_dtype_of(obj)
+    return _recursive_fill_value(dtype, _scalar_fill_value)
+
+
+def _extremum_fill_value(obj, extremum, extremum_name):
+
+    def _scalar_fill_value(dtype):
+        try:
+            return extremum[dtype.type]
+        except KeyError as e:
+            raise TypeError(
+                f"Unsuitable type {dtype} for calculating {extremum_name}."
+            ) from None
+
+    dtype = _get_dtype_of(obj)
+    return _recursive_fill_value(dtype, _scalar_fill_value)
+
+
+def minimum_fill_value(obj):
+    """
+    Return the maximum value that can be represented by the dtype of an object.
+
+    This function is useful for calculating a fill value suitable for
+    taking the minimum of an array with a given dtype.
+
+    Parameters
+    ----------
+    obj : ndarray, dtype or scalar
+        An object that can be queried for it's numeric type.
+
+    Returns
+    -------
+    val : scalar
+        The maximum representable value.
+
+    Raises
+    ------
+    TypeError
+        If `obj` isn't a suitable numeric type.
+
+    See Also
+    --------
+    maximum_fill_value : The inverse function.
+    set_fill_value : Set the filling value of a masked array.
+    MaskedArray.fill_value : Return current fill value.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.int8()
+    >>> ma.minimum_fill_value(a)
+    127
+    >>> a = np.int32()
+    >>> ma.minimum_fill_value(a)
+    2147483647
+
+    An array of numeric data can also be passed.
+
+    >>> a = np.array([1, 2, 3], dtype=np.int8)
+    >>> ma.minimum_fill_value(a)
+    127
+    >>> a = np.array([1, 2, 3], dtype=np.float32)
+    >>> ma.minimum_fill_value(a)
+    inf
+
+    """
+    return _extremum_fill_value(obj, min_filler, "minimum")
+
+
+def maximum_fill_value(obj):
+    """
+    Return the minimum value that can be represented by the dtype of an object.
+
+    This function is useful for calculating a fill value suitable for
+    taking the maximum of an array with a given dtype.
+
+    Parameters
+    ----------
+    obj : ndarray, dtype or scalar
+        An object that can be queried for it's numeric type.
+
+    Returns
+    -------
+    val : scalar
+        The minimum representable value.
+
+    Raises
+    ------
+    TypeError
+        If `obj` isn't a suitable numeric type.
+
+    See Also
+    --------
+    minimum_fill_value : The inverse function.
+    set_fill_value : Set the filling value of a masked array.
+    MaskedArray.fill_value : Return current fill value.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.int8()
+    >>> ma.maximum_fill_value(a)
+    -128
+    >>> a = np.int32()
+    >>> ma.maximum_fill_value(a)
+    -2147483648
+
+    An array of numeric data can also be passed.
+
+    >>> a = np.array([1, 2, 3], dtype=np.int8)
+    >>> ma.maximum_fill_value(a)
+    -128
+    >>> a = np.array([1, 2, 3], dtype=np.float32)
+    >>> ma.maximum_fill_value(a)
+    -inf
+
+    """
+    return _extremum_fill_value(obj, max_filler, "maximum")
+
+
+def _recursive_set_fill_value(fillvalue, dt):
+    """
+    Create a fill value for a structured dtype.
+
+    Parameters
+    ----------
+    fillvalue : scalar or array_like
+        Scalar or array representing the fill value. If it is of shorter
+        length than the number of fields in dt, it will be resized.
+    dt : dtype
+        The structured dtype for which to create the fill value.
+
+    Returns
+    -------
+    val : tuple
+        A tuple of values corresponding to the structured fill value.
+
+    """
+    fillvalue = np.resize(fillvalue, len(dt.names))
+    output_value = []
+    for (fval, name) in zip(fillvalue, dt.names):
+        cdtype = dt[name]
+        if cdtype.subdtype:
+            cdtype = cdtype.subdtype[0]
+
+        if cdtype.names is not None:
+            output_value.append(tuple(_recursive_set_fill_value(fval, cdtype)))
+        else:
+            output_value.append(np.array(fval, dtype=cdtype).item())
+    return tuple(output_value)
+
+
+def _check_fill_value(fill_value, ndtype):
+    """
+    Private function validating the given `fill_value` for the given dtype.
+
+    If fill_value is None, it is set to the default corresponding to the dtype.
+
+    If fill_value is not None, its value is forced to the given dtype.
+
+    The result is always a 0d array.
+
+    """
+    ndtype = np.dtype(ndtype)
+    if fill_value is None:
+        fill_value = default_fill_value(ndtype)
+        # TODO: It seems better to always store a valid fill_value, the oddity
+        #       about is that `_fill_value = None` would behave even more
+        #       different then.
+        #       (e.g. this allows arr_uint8.astype(int64) to have the default
+        #       fill value again...)
+        # The one thing that changed in 2.0/2.1 around cast safety is that the
+        # default `int(99...)` is not a same-kind cast anymore, so if we
+        # have a uint, use the default uint.
+        if ndtype.kind == "u":
+            fill_value = np.uint(fill_value)
+    elif ndtype.names is not None:
+        if isinstance(fill_value, (ndarray, np.void)):
+            try:
+                fill_value = np.asarray(fill_value, dtype=ndtype)
+            except ValueError as e:
+                err_msg = "Unable to transform %s to dtype %s"
+                raise ValueError(err_msg % (fill_value, ndtype)) from e
+        else:
+            fill_value = np.asarray(fill_value, dtype=object)
+            fill_value = np.array(_recursive_set_fill_value(fill_value, ndtype),
+                                  dtype=ndtype)
+    else:
+        if isinstance(fill_value, str) and (ndtype.char not in 'OSVU'):
+            # Note this check doesn't work if fill_value is not a scalar
+            err_msg = "Cannot set fill value of string with array of dtype %s"
+            raise TypeError(err_msg % ndtype)
+        else:
+            # In case we want to convert 1e20 to int.
+            # Also in case of converting string arrays.
+            try:
+                fill_value = np.asarray(fill_value, dtype=ndtype)
+            except (OverflowError, ValueError) as e:
+                # Raise TypeError instead of OverflowError or ValueError.
+                # OverflowError is seldom used, and the real problem here is
+                # that the passed fill_value is not compatible with the ndtype.
+                err_msg = "Cannot convert fill_value %s to dtype %s"
+                raise TypeError(err_msg % (fill_value, ndtype)) from e
+    return np.array(fill_value)
+
+
+def set_fill_value(a, fill_value):
+    """
+    Set the filling value of a, if a is a masked array.
+
+    This function changes the fill value of the masked array `a` in place.
+    If `a` is not a masked array, the function returns silently, without
+    doing anything.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array.
+    fill_value : dtype
+        Filling value. A consistency test is performed to make sure
+        the value is compatible with the dtype of `a`.
+
+    Returns
+    -------
+    None
+        Nothing returned by this function.
+
+    See Also
+    --------
+    maximum_fill_value : Return the default fill value for a dtype.
+    MaskedArray.fill_value : Return current fill value.
+    MaskedArray.set_fill_value : Equivalent method.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(5)
+    >>> a
+    array([0, 1, 2, 3, 4])
+    >>> a = ma.masked_where(a < 3, a)
+    >>> a
+    masked_array(data=[--, --, --, 3, 4],
+                 mask=[ True,  True,  True, False, False],
+           fill_value=999999)
+    >>> ma.set_fill_value(a, -999)
+    >>> a
+    masked_array(data=[--, --, --, 3, 4],
+                 mask=[ True,  True,  True, False, False],
+           fill_value=-999)
+
+    Nothing happens if `a` is not a masked array.
+
+    >>> a = list(range(5))
+    >>> a
+    [0, 1, 2, 3, 4]
+    >>> ma.set_fill_value(a, 100)
+    >>> a
+    [0, 1, 2, 3, 4]
+    >>> a = np.arange(5)
+    >>> a
+    array([0, 1, 2, 3, 4])
+    >>> ma.set_fill_value(a, 100)
+    >>> a
+    array([0, 1, 2, 3, 4])
+
+    """
+    if isinstance(a, MaskedArray):
+        a.set_fill_value(fill_value)
+    return
+
+
+def get_fill_value(a):
+    """
+    Return the filling value of a, if any.  Otherwise, returns the
+    default filling value for that type.
+
+    """
+    if isinstance(a, MaskedArray):
+        result = a.fill_value
+    else:
+        result = default_fill_value(a)
+    return result
+
+
+def common_fill_value(a, b):
+    """
+    Return the common filling value of two masked arrays, if any.
+
+    If ``a.fill_value == b.fill_value``, return the fill value,
+    otherwise return None.
+
+    Parameters
+    ----------
+    a, b : MaskedArray
+        The masked arrays for which to compare fill values.
+
+    Returns
+    -------
+    fill_value : scalar or None
+        The common fill value, or None.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array([0, 1.], fill_value=3)
+    >>> y = np.ma.array([0, 1.], fill_value=3)
+    >>> np.ma.common_fill_value(x, y)
+    3.0
+
+    """
+    t1 = get_fill_value(a)
+    t2 = get_fill_value(b)
+    if t1 == t2:
+        return t1
+    return None
+
+
+def filled(a, fill_value=None):
+    """
+    Return input as an `~numpy.ndarray`, with masked values replaced by
+    `fill_value`.
+
+    If `a` is not a `MaskedArray`, `a` itself is returned.
+    If `a` is a `MaskedArray` with no masked values, then ``a.data`` is
+    returned.
+    If `a` is a `MaskedArray` and `fill_value` is None, `fill_value` is set to
+    ``a.fill_value``.
+
+    Parameters
+    ----------
+    a : MaskedArray or array_like
+        An input object.
+    fill_value : array_like, optional.
+        Can be scalar or non-scalar. If non-scalar, the
+        resulting filled array should be broadcastable
+        over input array. Default is None.
+
+    Returns
+    -------
+    a : ndarray
+        The filled array.
+
+    See Also
+    --------
+    compressed
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = ma.array(np.arange(9).reshape(3, 3), mask=[[1, 0, 0],
+    ...                                                [1, 0, 0],
+    ...                                                [0, 0, 0]])
+    >>> x.filled()
+    array([[999999,      1,      2],
+           [999999,      4,      5],
+           [     6,      7,      8]])
+    >>> x.filled(fill_value=333)
+    array([[333,   1,   2],
+           [333,   4,   5],
+           [  6,   7,   8]])
+    >>> x.filled(fill_value=np.arange(3))
+    array([[0, 1, 2],
+           [0, 4, 5],
+           [6, 7, 8]])
+
+    """
+    if hasattr(a, 'filled'):
+        return a.filled(fill_value)
+
+    elif isinstance(a, ndarray):
+        # Should we check for contiguity ? and a.flags['CONTIGUOUS']:
+        return a
+    elif isinstance(a, dict):
+        return np.array(a, 'O')
+    else:
+        return np.array(a)
+
+
+def get_masked_subclass(*arrays):
+    """
+    Return the youngest subclass of MaskedArray from a list of (masked) arrays.
+
+    In case of siblings, the first listed takes over.
+
+    """
+    if len(arrays) == 1:
+        arr = arrays[0]
+        if isinstance(arr, MaskedArray):
+            rcls = type(arr)
+        else:
+            rcls = MaskedArray
+    else:
+        arrcls = [type(a) for a in arrays]
+        rcls = arrcls[0]
+        if not issubclass(rcls, MaskedArray):
+            rcls = MaskedArray
+        for cls in arrcls[1:]:
+            if issubclass(cls, rcls):
+                rcls = cls
+    # Don't return MaskedConstant as result: revert to MaskedArray
+    if rcls.__name__ == 'MaskedConstant':
+        return MaskedArray
+    return rcls
+
+
+def getdata(a, subok=True):
+    """
+    Return the data of a masked array as an ndarray.
+
+    Return the data of `a` (if any) as an ndarray if `a` is a ``MaskedArray``,
+    else return `a` as a ndarray or subclass (depending on `subok`) if not.
+
+    Parameters
+    ----------
+    a : array_like
+        Input ``MaskedArray``, alternatively a ndarray or a subclass thereof.
+    subok : bool
+        Whether to force the output to be a `pure` ndarray (False) or to
+        return a subclass of ndarray if appropriate (True, default).
+
+    See Also
+    --------
+    getmask : Return the mask of a masked array, or nomask.
+    getmaskarray : Return the mask of a masked array, or full array of False.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = ma.masked_equal([[1,2],[3,4]], 2)
+    >>> a
+    masked_array(
+      data=[[1, --],
+            [3, 4]],
+      mask=[[False,  True],
+            [False, False]],
+      fill_value=2)
+    >>> ma.getdata(a)
+    array([[1, 2],
+           [3, 4]])
+
+    Equivalently use the ``MaskedArray`` `data` attribute.
+
+    >>> a.data
+    array([[1, 2],
+           [3, 4]])
+
+    """
+    try:
+        data = a._data
+    except AttributeError:
+        data = np.array(a, copy=None, subok=subok)
+    if not subok:
+        return data.view(ndarray)
+    return data
+
+
+get_data = getdata
+
+
+def fix_invalid(a, mask=nomask, copy=True, fill_value=None):
+    """
+    Return input with invalid data masked and replaced by a fill value.
+
+    Invalid data means values of `nan`, `inf`, etc.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array, a (subclass of) ndarray.
+    mask : sequence, optional
+        Mask. Must be convertible to an array of booleans with the same
+        shape as `data`. True indicates a masked (i.e. invalid) data.
+    copy : bool, optional
+        Whether to use a copy of `a` (True) or to fix `a` in place (False).
+        Default is True.
+    fill_value : scalar, optional
+        Value used for fixing invalid data. Default is None, in which case
+        the ``a.fill_value`` is used.
+
+    Returns
+    -------
+    b : MaskedArray
+        The input array with invalid entries fixed.
+
+    Notes
+    -----
+    A copy is performed by default.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array([1., -1, np.nan, np.inf], mask=[1] + [0]*3)
+    >>> x
+    masked_array(data=[--, -1.0, nan, inf],
+                 mask=[ True, False, False, False],
+           fill_value=1e+20)
+    >>> np.ma.fix_invalid(x)
+    masked_array(data=[--, -1.0, --, --],
+                 mask=[ True, False,  True,  True],
+           fill_value=1e+20)
+
+    >>> fixed = np.ma.fix_invalid(x)
+    >>> fixed.data
+    array([ 1.e+00, -1.e+00,  1.e+20,  1.e+20])
+    >>> x.data
+    array([ 1., -1., nan, inf])
+
+    """
+    a = masked_array(a, copy=copy, mask=mask, subok=True)
+    invalid = np.logical_not(np.isfinite(a._data))
+    if not invalid.any():
+        return a
+    a._mask |= invalid
+    if fill_value is None:
+        fill_value = a.fill_value
+    a._data[invalid] = fill_value
+    return a
+
+def is_string_or_list_of_strings(val):
+    return (isinstance(val, str) or
+            (isinstance(val, list) and val and
+             builtins.all(isinstance(s, str) for s in val)))
+
+###############################################################################
+#                                  Ufuncs                                     #
+###############################################################################
+
+
+ufunc_domain = {}
+ufunc_fills = {}
+
+
+class _DomainCheckInterval:
+    """
+    Define a valid interval, so that :
+
+    ``domain_check_interval(a,b)(x) == True`` where
+    ``x < a`` or ``x > b``.
+
+    """
+
+    def __init__(self, a, b):
+        "domain_check_interval(a,b)(x) = true where x < a or y > b"
+        if a > b:
+            (a, b) = (b, a)
+        self.a = a
+        self.b = b
+
+    def __call__(self, x):
+        "Execute the call behavior."
+        # nans at masked positions cause RuntimeWarnings, even though
+        # they are masked. To avoid this we suppress warnings.
+        with np.errstate(invalid='ignore'):
+            return umath.logical_or(umath.greater(x, self.b),
+                                    umath.less(x, self.a))
+
+
+class _DomainTan:
+    """
+    Define a valid interval for the `tan` function, so that:
+
+    ``domain_tan(eps) = True`` where ``abs(cos(x)) < eps``
+
+    """
+
+    def __init__(self, eps):
+        "domain_tan(eps) = true where abs(cos(x)) < eps)"
+        self.eps = eps
+
+    def __call__(self, x):
+        "Executes the call behavior."
+        with np.errstate(invalid='ignore'):
+            return umath.less(umath.absolute(umath.cos(x)), self.eps)
+
+
+class _DomainSafeDivide:
+    """
+    Define a domain for safe division.
+
+    """
+
+    def __init__(self, tolerance=None):
+        self.tolerance = tolerance
+
+    def __call__(self, a, b):
+        # Delay the selection of the tolerance to here in order to reduce numpy
+        # import times. The calculation of these parameters is a substantial
+        # component of numpy's import time.
+        if self.tolerance is None:
+            self.tolerance = np.finfo(float).tiny
+        # don't call ma ufuncs from __array_wrap__ which would fail for scalars
+        a, b = np.asarray(a), np.asarray(b)
+        with np.errstate(all='ignore'):
+            return umath.absolute(a) * self.tolerance >= umath.absolute(b)
+
+
+class _DomainGreater:
+    """
+    DomainGreater(v)(x) is True where x <= v.
+
+    """
+
+    def __init__(self, critical_value):
+        "DomainGreater(v)(x) = true where x <= v"
+        self.critical_value = critical_value
+
+    def __call__(self, x):
+        "Executes the call behavior."
+        with np.errstate(invalid='ignore'):
+            return umath.less_equal(x, self.critical_value)
+
+
+class _DomainGreaterEqual:
+    """
+    DomainGreaterEqual(v)(x) is True where x < v.
+
+    """
+
+    def __init__(self, critical_value):
+        "DomainGreaterEqual(v)(x) = true where x < v"
+        self.critical_value = critical_value
+
+    def __call__(self, x):
+        "Executes the call behavior."
+        with np.errstate(invalid='ignore'):
+            return umath.less(x, self.critical_value)
+
+
+class _MaskedUFunc:
+    def __init__(self, ufunc):
+        self.f = ufunc
+        self.__doc__ = ufunc.__doc__
+        self.__name__ = ufunc.__name__
+        self.__qualname__ = ufunc.__qualname__
+
+    def __str__(self):
+        return f"Masked version of {self.f}"
+
+
+class _MaskedUnaryOperation(_MaskedUFunc):
+    """
+    Defines masked version of unary operations, where invalid values are
+    pre-masked.
+
+    Parameters
+    ----------
+    mufunc : callable
+        The function for which to define a masked version. Made available
+        as ``_MaskedUnaryOperation.f``.
+    fill : scalar, optional
+        Filling value, default is 0.
+    domain : class instance
+        Domain for the function. Should be one of the ``_Domain*``
+        classes. Default is None.
+
+    """
+
+    def __init__(self, mufunc, fill=0, domain=None):
+        super().__init__(mufunc)
+        self.fill = fill
+        self.domain = domain
+        ufunc_domain[mufunc] = domain
+        ufunc_fills[mufunc] = fill
+
+    def __call__(self, a, *args, **kwargs):
+        """
+        Execute the call behavior.
+
+        """
+        d = getdata(a)
+        # Deal with domain
+        if self.domain is not None:
+            # Case 1.1. : Domained function
+            # nans at masked positions cause RuntimeWarnings, even though
+            # they are masked. To avoid this we suppress warnings.
+            with np.errstate(divide='ignore', invalid='ignore'):
+                result = self.f(d, *args, **kwargs)
+            # Make a mask
+            m = ~umath.isfinite(result)
+            m |= self.domain(d)
+            m |= getmask(a)
+        else:
+            # Case 1.2. : Function without a domain
+            # Get the result and the mask
+            with np.errstate(divide='ignore', invalid='ignore'):
+                result = self.f(d, *args, **kwargs)
+            m = getmask(a)
+
+        if not result.ndim:
+            # Case 2.1. : The result is scalarscalar
+            if m:
+                return masked
+            return result
+
+        if m is not nomask:
+            # Case 2.2. The result is an array
+            # We need to fill the invalid data back w/ the input Now,
+            # that's plain silly: in C, we would just skip the element and
+            # keep the original, but we do have to do it that way in Python
+
+            # In case result has a lower dtype than the inputs (as in
+            # equal)
+            try:
+                np.copyto(result, d, where=m)
+            except TypeError:
+                pass
+        # Transform to
+        masked_result = result.view(get_masked_subclass(a))
+        masked_result._mask = m
+        masked_result._update_from(a)
+        return masked_result
+
+
+class _MaskedBinaryOperation(_MaskedUFunc):
+    """
+    Define masked version of binary operations, where invalid
+    values are pre-masked.
+
+    Parameters
+    ----------
+    mbfunc : function
+        The function for which to define a masked version. Made available
+        as ``_MaskedBinaryOperation.f``.
+    domain : class instance
+        Default domain for the function. Should be one of the ``_Domain*``
+        classes. Default is None.
+    fillx : scalar, optional
+        Filling value for the first argument, default is 0.
+    filly : scalar, optional
+        Filling value for the second argument, default is 0.
+
+    """
+
+    def __init__(self, mbfunc, fillx=0, filly=0):
+        """
+        abfunc(fillx, filly) must be defined.
+
+        abfunc(x, filly) = x for all x to enable reduce.
+
+        """
+        super().__init__(mbfunc)
+        self.fillx = fillx
+        self.filly = filly
+        ufunc_domain[mbfunc] = None
+        ufunc_fills[mbfunc] = (fillx, filly)
+
+    def __call__(self, a, b, *args, **kwargs):
+        """
+        Execute the call behavior.
+
+        """
+        # Get the data, as ndarray
+        (da, db) = (getdata(a), getdata(b))
+        # Get the result
+        with np.errstate():
+            np.seterr(divide='ignore', invalid='ignore')
+            result = self.f(da, db, *args, **kwargs)
+        # Get the mask for the result
+        (ma, mb) = (getmask(a), getmask(b))
+        if ma is nomask:
+            if mb is nomask:
+                m = nomask
+            else:
+                m = umath.logical_or(getmaskarray(a), mb)
+        elif mb is nomask:
+            m = umath.logical_or(ma, getmaskarray(b))
+        else:
+            m = umath.logical_or(ma, mb)
+
+        # Case 1. : scalar
+        if not result.ndim:
+            if m:
+                return masked
+            return result
+
+        # Case 2. : array
+        # Revert result to da where masked
+        if m is not nomask and m.any():
+            # any errors, just abort; impossible to guarantee masked values
+            try:
+                np.copyto(result, da, casting='unsafe', where=m)
+            except Exception:
+                pass
+
+        # Transforms to a (subclass of) MaskedArray
+        masked_result = result.view(get_masked_subclass(a, b))
+        masked_result._mask = m
+        if isinstance(a, MaskedArray):
+            masked_result._update_from(a)
+        elif isinstance(b, MaskedArray):
+            masked_result._update_from(b)
+        return masked_result
+
+    def reduce(self, target, axis=0, dtype=None):
+        """
+        Reduce `target` along the given `axis`.
+
+        """
+        tclass = get_masked_subclass(target)
+        m = getmask(target)
+        t = filled(target, self.filly)
+        if t.shape == ():
+            t = t.reshape(1)
+            if m is not nomask:
+                m = make_mask(m, copy=True)
+                m.shape = (1,)
+
+        if m is nomask:
+            tr = self.f.reduce(t, axis)
+            mr = nomask
+        else:
+            tr = self.f.reduce(t, axis, dtype=dtype)
+            mr = umath.logical_and.reduce(m, axis)
+
+        if not tr.shape:
+            if mr:
+                return masked
+            else:
+                return tr
+        masked_tr = tr.view(tclass)
+        masked_tr._mask = mr
+        return masked_tr
+
+    def outer(self, a, b):
+        """
+        Return the function applied to the outer product of a and b.
+
+        """
+        (da, db) = (getdata(a), getdata(b))
+        d = self.f.outer(da, db)
+        ma = getmask(a)
+        mb = getmask(b)
+        if ma is nomask and mb is nomask:
+            m = nomask
+        else:
+            ma = getmaskarray(a)
+            mb = getmaskarray(b)
+            m = umath.logical_or.outer(ma, mb)
+        if (not m.ndim) and m:
+            return masked
+        if m is not nomask:
+            np.copyto(d, da, where=m)
+        if not d.shape:
+            return d
+        masked_d = d.view(get_masked_subclass(a, b))
+        masked_d._mask = m
+        return masked_d
+
+    def accumulate(self, target, axis=0):
+        """Accumulate `target` along `axis` after filling with y fill
+        value.
+
+        """
+        tclass = get_masked_subclass(target)
+        t = filled(target, self.filly)
+        result = self.f.accumulate(t, axis)
+        masked_result = result.view(tclass)
+        return masked_result
+
+
+
+class _DomainedBinaryOperation(_MaskedUFunc):
+    """
+    Define binary operations that have a domain, like divide.
+
+    They have no reduce, outer or accumulate.
+
+    Parameters
+    ----------
+    mbfunc : function
+        The function for which to define a masked version. Made available
+        as ``_DomainedBinaryOperation.f``.
+    domain : class instance
+        Default domain for the function. Should be one of the ``_Domain*``
+        classes.
+    fillx : scalar, optional
+        Filling value for the first argument, default is 0.
+    filly : scalar, optional
+        Filling value for the second argument, default is 0.
+
+    """
+
+    def __init__(self, dbfunc, domain, fillx=0, filly=0):
+        """abfunc(fillx, filly) must be defined.
+           abfunc(x, filly) = x for all x to enable reduce.
+        """
+        super().__init__(dbfunc)
+        self.domain = domain
+        self.fillx = fillx
+        self.filly = filly
+        ufunc_domain[dbfunc] = domain
+        ufunc_fills[dbfunc] = (fillx, filly)
+
+    def __call__(self, a, b, *args, **kwargs):
+        "Execute the call behavior."
+        # Get the data
+        (da, db) = (getdata(a), getdata(b))
+        # Get the result
+        with np.errstate(divide='ignore', invalid='ignore'):
+            result = self.f(da, db, *args, **kwargs)
+        # Get the mask as a combination of the source masks and invalid
+        m = ~umath.isfinite(result)
+        m |= getmask(a)
+        m |= getmask(b)
+        # Apply the domain
+        domain = ufunc_domain.get(self.f, None)
+        if domain is not None:
+            m |= domain(da, db)
+        # Take care of the scalar case first
+        if not m.ndim:
+            if m:
+                return masked
+            else:
+                return result
+        # When the mask is True, put back da if possible
+        # any errors, just abort; impossible to guarantee masked values
+        try:
+            np.copyto(result, 0, casting='unsafe', where=m)
+            # avoid using "*" since this may be overlaid
+            masked_da = umath.multiply(m, da)
+            # only add back if it can be cast safely
+            if np.can_cast(masked_da.dtype, result.dtype, casting='safe'):
+                result += masked_da
+        except Exception:
+            pass
+
+        # Transforms to a (subclass of) MaskedArray
+        masked_result = result.view(get_masked_subclass(a, b))
+        masked_result._mask = m
+        if isinstance(a, MaskedArray):
+            masked_result._update_from(a)
+        elif isinstance(b, MaskedArray):
+            masked_result._update_from(b)
+        return masked_result
+
+
+# Unary ufuncs
+exp = _MaskedUnaryOperation(umath.exp)
+conjugate = _MaskedUnaryOperation(umath.conjugate)
+sin = _MaskedUnaryOperation(umath.sin)
+cos = _MaskedUnaryOperation(umath.cos)
+arctan = _MaskedUnaryOperation(umath.arctan)
+arcsinh = _MaskedUnaryOperation(umath.arcsinh)
+sinh = _MaskedUnaryOperation(umath.sinh)
+cosh = _MaskedUnaryOperation(umath.cosh)
+tanh = _MaskedUnaryOperation(umath.tanh)
+abs = absolute = _MaskedUnaryOperation(umath.absolute)
+angle = _MaskedUnaryOperation(angle)
+fabs = _MaskedUnaryOperation(umath.fabs)
+negative = _MaskedUnaryOperation(umath.negative)
+floor = _MaskedUnaryOperation(umath.floor)
+ceil = _MaskedUnaryOperation(umath.ceil)
+around = _MaskedUnaryOperation(np.around)
+logical_not = _MaskedUnaryOperation(umath.logical_not)
+
+# Domained unary ufuncs
+sqrt = _MaskedUnaryOperation(umath.sqrt, 0.0,
+                             _DomainGreaterEqual(0.0))
+log = _MaskedUnaryOperation(umath.log, 1.0,
+                            _DomainGreater(0.0))
+log2 = _MaskedUnaryOperation(umath.log2, 1.0,
+                             _DomainGreater(0.0))
+log10 = _MaskedUnaryOperation(umath.log10, 1.0,
+                              _DomainGreater(0.0))
+tan = _MaskedUnaryOperation(umath.tan, 0.0,
+                            _DomainTan(1e-35))
+arcsin = _MaskedUnaryOperation(umath.arcsin, 0.0,
+                               _DomainCheckInterval(-1.0, 1.0))
+arccos = _MaskedUnaryOperation(umath.arccos, 0.0,
+                               _DomainCheckInterval(-1.0, 1.0))
+arccosh = _MaskedUnaryOperation(umath.arccosh, 1.0,
+                                _DomainGreaterEqual(1.0))
+arctanh = _MaskedUnaryOperation(umath.arctanh, 0.0,
+                                _DomainCheckInterval(-1.0 + 1e-15, 1.0 - 1e-15))
+
+# Binary ufuncs
+add = _MaskedBinaryOperation(umath.add)
+subtract = _MaskedBinaryOperation(umath.subtract)
+multiply = _MaskedBinaryOperation(umath.multiply, 1, 1)
+arctan2 = _MaskedBinaryOperation(umath.arctan2, 0.0, 1.0)
+equal = _MaskedBinaryOperation(umath.equal)
+equal.reduce = None
+not_equal = _MaskedBinaryOperation(umath.not_equal)
+not_equal.reduce = None
+less_equal = _MaskedBinaryOperation(umath.less_equal)
+less_equal.reduce = None
+greater_equal = _MaskedBinaryOperation(umath.greater_equal)
+greater_equal.reduce = None
+less = _MaskedBinaryOperation(umath.less)
+less.reduce = None
+greater = _MaskedBinaryOperation(umath.greater)
+greater.reduce = None
+logical_and = _MaskedBinaryOperation(umath.logical_and)
+alltrue = _MaskedBinaryOperation(umath.logical_and, 1, 1).reduce
+logical_or = _MaskedBinaryOperation(umath.logical_or)
+sometrue = logical_or.reduce
+logical_xor = _MaskedBinaryOperation(umath.logical_xor)
+bitwise_and = _MaskedBinaryOperation(umath.bitwise_and)
+bitwise_or = _MaskedBinaryOperation(umath.bitwise_or)
+bitwise_xor = _MaskedBinaryOperation(umath.bitwise_xor)
+hypot = _MaskedBinaryOperation(umath.hypot)
+
+# Domained binary ufuncs
+divide = _DomainedBinaryOperation(umath.divide, _DomainSafeDivide(), 0, 1)
+true_divide = _DomainedBinaryOperation(umath.true_divide,
+                                       _DomainSafeDivide(), 0, 1)
+floor_divide = _DomainedBinaryOperation(umath.floor_divide,
+                                        _DomainSafeDivide(), 0, 1)
+remainder = _DomainedBinaryOperation(umath.remainder,
+                                     _DomainSafeDivide(), 0, 1)
+fmod = _DomainedBinaryOperation(umath.fmod, _DomainSafeDivide(), 0, 1)
+mod = _DomainedBinaryOperation(umath.mod, _DomainSafeDivide(), 0, 1)
+
+
+###############################################################################
+#                        Mask creation functions                              #
+###############################################################################
+
+
+def _replace_dtype_fields_recursive(dtype, primitive_dtype):
+    "Private function allowing recursion in _replace_dtype_fields."
+    _recurse = _replace_dtype_fields_recursive
+
+    # Do we have some name fields ?
+    if dtype.names is not None:
+        descr = []
+        for name in dtype.names:
+            field = dtype.fields[name]
+            if len(field) == 3:
+                # Prepend the title to the name
+                name = (field[-1], name)
+            descr.append((name, _recurse(field[0], primitive_dtype)))
+        new_dtype = np.dtype(descr)
+
+    # Is this some kind of composite a la (float,2)
+    elif dtype.subdtype:
+        descr = list(dtype.subdtype)
+        descr[0] = _recurse(dtype.subdtype[0], primitive_dtype)
+        new_dtype = np.dtype(tuple(descr))
+
+    # this is a primitive type, so do a direct replacement
+    else:
+        new_dtype = primitive_dtype
+
+    # preserve identity of dtypes
+    if new_dtype == dtype:
+        new_dtype = dtype
+
+    return new_dtype
+
+
+def _replace_dtype_fields(dtype, primitive_dtype):
+    """
+    Construct a dtype description list from a given dtype.
+
+    Returns a new dtype object, with all fields and subtypes in the given type
+    recursively replaced with `primitive_dtype`.
+
+    Arguments are coerced to dtypes first.
+    """
+    dtype = np.dtype(dtype)
+    primitive_dtype = np.dtype(primitive_dtype)
+    return _replace_dtype_fields_recursive(dtype, primitive_dtype)
+
+
+def make_mask_descr(ndtype):
+    """
+    Construct a dtype description list from a given dtype.
+
+    Returns a new dtype object, with the type of all fields in `ndtype` to a
+    boolean type. Field names are not altered.
+
+    Parameters
+    ----------
+    ndtype : dtype
+        The dtype to convert.
+
+    Returns
+    -------
+    result : dtype
+        A dtype that looks like `ndtype`, the type of all fields is boolean.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> dtype = np.dtype({'names':['foo', 'bar'],
+    ...                   'formats':[np.float32, np.int64]})
+    >>> dtype
+    dtype([('foo', '>> ma.make_mask_descr(dtype)
+    dtype([('foo', '|b1'), ('bar', '|b1')])
+    >>> ma.make_mask_descr(np.float32)
+    dtype('bool')
+
+    """
+    return _replace_dtype_fields(ndtype, MaskType)
+
+
+def getmask(a):
+    """
+    Return the mask of a masked array, or nomask.
+
+    Return the mask of `a` as an ndarray if `a` is a `MaskedArray` and the
+    mask is not `nomask`, else return `nomask`. To guarantee a full array
+    of booleans of the same shape as a, use `getmaskarray`.
+
+    Parameters
+    ----------
+    a : array_like
+        Input `MaskedArray` for which the mask is required.
+
+    See Also
+    --------
+    getdata : Return the data of a masked array as an ndarray.
+    getmaskarray : Return the mask of a masked array, or full array of False.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = ma.masked_equal([[1,2],[3,4]], 2)
+    >>> a
+    masked_array(
+      data=[[1, --],
+            [3, 4]],
+      mask=[[False,  True],
+            [False, False]],
+      fill_value=2)
+    >>> ma.getmask(a)
+    array([[False,  True],
+           [False, False]])
+
+    Equivalently use the `MaskedArray` `mask` attribute.
+
+    >>> a.mask
+    array([[False,  True],
+           [False, False]])
+
+    Result when mask == `nomask`
+
+    >>> b = ma.masked_array([[1,2],[3,4]])
+    >>> b
+    masked_array(
+      data=[[1, 2],
+            [3, 4]],
+      mask=False,
+      fill_value=999999)
+    >>> ma.nomask
+    False
+    >>> ma.getmask(b) == ma.nomask
+    True
+    >>> b.mask == ma.nomask
+    True
+
+    """
+    return getattr(a, '_mask', nomask)
+
+
+get_mask = getmask
+
+
+def getmaskarray(arr):
+    """
+    Return the mask of a masked array, or full boolean array of False.
+
+    Return the mask of `arr` as an ndarray if `arr` is a `MaskedArray` and
+    the mask is not `nomask`, else return a full boolean array of False of
+    the same shape as `arr`.
+
+    Parameters
+    ----------
+    arr : array_like
+        Input `MaskedArray` for which the mask is required.
+
+    See Also
+    --------
+    getmask : Return the mask of a masked array, or nomask.
+    getdata : Return the data of a masked array as an ndarray.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = ma.masked_equal([[1,2],[3,4]], 2)
+    >>> a
+    masked_array(
+      data=[[1, --],
+            [3, 4]],
+      mask=[[False,  True],
+            [False, False]],
+      fill_value=2)
+    >>> ma.getmaskarray(a)
+    array([[False,  True],
+           [False, False]])
+
+    Result when mask == ``nomask``
+
+    >>> b = ma.masked_array([[1,2],[3,4]])
+    >>> b
+    masked_array(
+      data=[[1, 2],
+            [3, 4]],
+      mask=False,
+      fill_value=999999)
+    >>> ma.getmaskarray(b)
+    array([[False, False],
+           [False, False]])
+
+    """
+    mask = getmask(arr)
+    if mask is nomask:
+        mask = make_mask_none(np.shape(arr), getattr(arr, 'dtype', None))
+    return mask
+
+
+def is_mask(m):
+    """
+    Return True if m is a valid, standard mask.
+
+    This function does not check the contents of the input, only that the
+    type is MaskType. In particular, this function returns False if the
+    mask has a flexible dtype.
+
+    Parameters
+    ----------
+    m : array_like
+        Array to test.
+
+    Returns
+    -------
+    result : bool
+        True if `m.dtype.type` is MaskType, False otherwise.
+
+    See Also
+    --------
+    ma.isMaskedArray : Test whether input is an instance of MaskedArray.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> m = ma.masked_equal([0, 1, 0, 2, 3], 0)
+    >>> m
+    masked_array(data=[--, 1, --, 2, 3],
+                 mask=[ True, False,  True, False, False],
+           fill_value=0)
+    >>> ma.is_mask(m)
+    False
+    >>> ma.is_mask(m.mask)
+    True
+
+    Input must be an ndarray (or have similar attributes)
+    for it to be considered a valid mask.
+
+    >>> m = [False, True, False]
+    >>> ma.is_mask(m)
+    False
+    >>> m = np.array([False, True, False])
+    >>> m
+    array([False,  True, False])
+    >>> ma.is_mask(m)
+    True
+
+    Arrays with complex dtypes don't return True.
+
+    >>> dtype = np.dtype({'names':['monty', 'pithon'],
+    ...                   'formats':[bool, bool]})
+    >>> dtype
+    dtype([('monty', '|b1'), ('pithon', '|b1')])
+    >>> m = np.array([(True, False), (False, True), (True, False)],
+    ...              dtype=dtype)
+    >>> m
+    array([( True, False), (False,  True), ( True, False)],
+          dtype=[('monty', '?'), ('pithon', '?')])
+    >>> ma.is_mask(m)
+    False
+
+    """
+    try:
+        return m.dtype.type is MaskType
+    except AttributeError:
+        return False
+
+
+def _shrink_mask(m):
+    """
+    Shrink a mask to nomask if possible
+    """
+    if m.dtype.names is None and not m.any():
+        return nomask
+    else:
+        return m
+
+
+def make_mask(m, copy=False, shrink=True, dtype=MaskType):
+    """
+    Create a boolean mask from an array.
+
+    Return `m` as a boolean mask, creating a copy if necessary or requested.
+    The function can accept any sequence that is convertible to integers,
+    or ``nomask``.  Does not require that contents must be 0s and 1s, values
+    of 0 are interpreted as False, everything else as True.
+
+    Parameters
+    ----------
+    m : array_like
+        Potential mask.
+    copy : bool, optional
+        Whether to return a copy of `m` (True) or `m` itself (False).
+    shrink : bool, optional
+        Whether to shrink `m` to ``nomask`` if all its values are False.
+    dtype : dtype, optional
+        Data-type of the output mask. By default, the output mask has a
+        dtype of MaskType (bool). If the dtype is flexible, each field has
+        a boolean dtype. This is ignored when `m` is ``nomask``, in which
+        case ``nomask`` is always returned.
+
+    Returns
+    -------
+    result : ndarray
+        A boolean mask derived from `m`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> m = [True, False, True, True]
+    >>> ma.make_mask(m)
+    array([ True, False,  True,  True])
+    >>> m = [1, 0, 1, 1]
+    >>> ma.make_mask(m)
+    array([ True, False,  True,  True])
+    >>> m = [1, 0, 2, -3]
+    >>> ma.make_mask(m)
+    array([ True, False,  True,  True])
+
+    Effect of the `shrink` parameter.
+
+    >>> m = np.zeros(4)
+    >>> m
+    array([0., 0., 0., 0.])
+    >>> ma.make_mask(m)
+    False
+    >>> ma.make_mask(m, shrink=False)
+    array([False, False, False, False])
+
+    Using a flexible `dtype`.
+
+    >>> m = [1, 0, 1, 1]
+    >>> n = [0, 1, 0, 0]
+    >>> arr = []
+    >>> for man, mouse in zip(m, n):
+    ...     arr.append((man, mouse))
+    >>> arr
+    [(1, 0), (0, 1), (1, 0), (1, 0)]
+    >>> dtype = np.dtype({'names':['man', 'mouse'],
+    ...                   'formats':[np.int64, np.int64]})
+    >>> arr = np.array(arr, dtype=dtype)
+    >>> arr
+    array([(1, 0), (0, 1), (1, 0), (1, 0)],
+          dtype=[('man', '>> ma.make_mask(arr, dtype=dtype)
+    array([(True, False), (False, True), (True, False), (True, False)],
+          dtype=[('man', '|b1'), ('mouse', '|b1')])
+
+    """
+    if m is nomask:
+        return nomask
+
+    # Make sure the input dtype is valid.
+    dtype = make_mask_descr(dtype)
+
+    # legacy boolean special case: "existence of fields implies true"
+    if isinstance(m, ndarray) and m.dtype.fields and dtype == np.bool:
+        return np.ones(m.shape, dtype=dtype)
+
+    # Fill the mask in case there are missing data; turn it into an ndarray.
+    copy = None if not copy else True
+    result = np.array(filled(m, True), copy=copy, dtype=dtype, subok=True)
+    # Bas les masques !
+    if shrink:
+        result = _shrink_mask(result)
+    return result
+
+
+def make_mask_none(newshape, dtype=None):
+    """
+    Return a boolean mask of the given shape, filled with False.
+
+    This function returns a boolean ndarray with all entries False, that can
+    be used in common mask manipulations. If a complex dtype is specified, the
+    type of each field is converted to a boolean type.
+
+    Parameters
+    ----------
+    newshape : tuple
+        A tuple indicating the shape of the mask.
+    dtype : {None, dtype}, optional
+        If None, use a MaskType instance. Otherwise, use a new datatype with
+        the same fields as `dtype`, converted to boolean types.
+
+    Returns
+    -------
+    result : ndarray
+        An ndarray of appropriate shape and dtype, filled with False.
+
+    See Also
+    --------
+    make_mask : Create a boolean mask from an array.
+    make_mask_descr : Construct a dtype description list from a given dtype.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> ma.make_mask_none((3,))
+    array([False, False, False])
+
+    Defining a more complex dtype.
+
+    >>> dtype = np.dtype({'names':['foo', 'bar'],
+    ...                   'formats':[np.float32, np.int64]})
+    >>> dtype
+    dtype([('foo', '>> ma.make_mask_none((3,), dtype=dtype)
+    array([(False, False), (False, False), (False, False)],
+          dtype=[('foo', '|b1'), ('bar', '|b1')])
+
+    """
+    if dtype is None:
+        result = np.zeros(newshape, dtype=MaskType)
+    else:
+        result = np.zeros(newshape, dtype=make_mask_descr(dtype))
+    return result
+
+
+def _recursive_mask_or(m1, m2, newmask):
+    names = m1.dtype.names
+    for name in names:
+        current1 = m1[name]
+        if current1.dtype.names is not None:
+            _recursive_mask_or(current1, m2[name], newmask[name])
+        else:
+            umath.logical_or(current1, m2[name], newmask[name])
+
+
+def mask_or(m1, m2, copy=False, shrink=True):
+    """
+    Combine two masks with the ``logical_or`` operator.
+
+    The result may be a view on `m1` or `m2` if the other is `nomask`
+    (i.e. False).
+
+    Parameters
+    ----------
+    m1, m2 : array_like
+        Input masks.
+    copy : bool, optional
+        If copy is False and one of the inputs is `nomask`, return a view
+        of the other input mask. Defaults to False.
+    shrink : bool, optional
+        Whether to shrink the output to `nomask` if all its values are
+        False. Defaults to True.
+
+    Returns
+    -------
+    mask : output mask
+        The result masks values that are masked in either `m1` or `m2`.
+
+    Raises
+    ------
+    ValueError
+        If `m1` and `m2` have different flexible dtypes.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> m1 = np.ma.make_mask([0, 1, 1, 0])
+    >>> m2 = np.ma.make_mask([1, 0, 0, 0])
+    >>> np.ma.mask_or(m1, m2)
+    array([ True,  True,  True, False])
+
+    """
+
+    if (m1 is nomask) or (m1 is False):
+        dtype = getattr(m2, 'dtype', MaskType)
+        return make_mask(m2, copy=copy, shrink=shrink, dtype=dtype)
+    if (m2 is nomask) or (m2 is False):
+        dtype = getattr(m1, 'dtype', MaskType)
+        return make_mask(m1, copy=copy, shrink=shrink, dtype=dtype)
+    if m1 is m2 and is_mask(m1):
+        return _shrink_mask(m1) if shrink else m1
+    (dtype1, dtype2) = (getattr(m1, 'dtype', None), getattr(m2, 'dtype', None))
+    if dtype1 != dtype2:
+        raise ValueError("Incompatible dtypes '%s'<>'%s'" % (dtype1, dtype2))
+    if dtype1.names is not None:
+        # Allocate an output mask array with the properly broadcast shape.
+        newmask = np.empty(np.broadcast(m1, m2).shape, dtype1)
+        _recursive_mask_or(m1, m2, newmask)
+        return newmask
+    return make_mask(umath.logical_or(m1, m2), copy=copy, shrink=shrink)
+
+
+def flatten_mask(mask):
+    """
+    Returns a completely flattened version of the mask, where nested fields
+    are collapsed.
+
+    Parameters
+    ----------
+    mask : array_like
+        Input array, which will be interpreted as booleans.
+
+    Returns
+    -------
+    flattened_mask : ndarray of bools
+        The flattened input.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> mask = np.array([0, 0, 1])
+    >>> np.ma.flatten_mask(mask)
+    array([False, False,  True])
+
+    >>> mask = np.array([(0, 0), (0, 1)], dtype=[('a', bool), ('b', bool)])
+    >>> np.ma.flatten_mask(mask)
+    array([False, False, False,  True])
+
+    >>> mdtype = [('a', bool), ('b', [('ba', bool), ('bb', bool)])]
+    >>> mask = np.array([(0, (0, 0)), (0, (0, 1))], dtype=mdtype)
+    >>> np.ma.flatten_mask(mask)
+    array([False, False, False, False, False,  True])
+
+    """
+
+    def _flatmask(mask):
+        "Flatten the mask and returns a (maybe nested) sequence of booleans."
+        mnames = mask.dtype.names
+        if mnames is not None:
+            return [flatten_mask(mask[name]) for name in mnames]
+        else:
+            return mask
+
+    def _flatsequence(sequence):
+        "Generates a flattened version of the sequence."
+        try:
+            for element in sequence:
+                if hasattr(element, '__iter__'):
+                    yield from _flatsequence(element)
+                else:
+                    yield element
+        except TypeError:
+            yield sequence
+
+    mask = np.asarray(mask)
+    flattened = _flatsequence(_flatmask(mask))
+    return np.array(list(flattened), dtype=bool)
+
+
+def _check_mask_axis(mask, axis, keepdims=np._NoValue):
+    "Check whether there are masked values along the given axis"
+    kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+    if mask is not nomask:
+        return mask.all(axis=axis, **kwargs)
+    return nomask
+
+
+###############################################################################
+#                             Masking functions                               #
+###############################################################################
+
+def masked_where(condition, a, copy=True):
+    """
+    Mask an array where a condition is met.
+
+    Return `a` as an array masked where `condition` is True.
+    Any masked values of `a` or `condition` are also masked in the output.
+
+    Parameters
+    ----------
+    condition : array_like
+        Masking condition.  When `condition` tests floating point values for
+        equality, consider using ``masked_values`` instead.
+    a : array_like
+        Array to mask.
+    copy : bool
+        If True (default) make a copy of `a` in the result.  If False modify
+        `a` in place and return a view.
+
+    Returns
+    -------
+    result : MaskedArray
+        The result of masking `a` where `condition` is True.
+
+    See Also
+    --------
+    masked_values : Mask using floating point equality.
+    masked_equal : Mask where equal to a given value.
+    masked_not_equal : Mask where *not* equal to a given value.
+    masked_less_equal : Mask where less than or equal to a given value.
+    masked_greater_equal : Mask where greater than or equal to a given value.
+    masked_less : Mask where less than a given value.
+    masked_greater : Mask where greater than a given value.
+    masked_inside : Mask inside a given interval.
+    masked_outside : Mask outside a given interval.
+    masked_invalid : Mask invalid values (NaNs or infs).
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(4)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> ma.masked_where(a <= 2, a)
+    masked_array(data=[--, --, --, 3],
+                 mask=[ True,  True,  True, False],
+           fill_value=999999)
+
+    Mask array `b` conditional on `a`.
+
+    >>> b = ['a', 'b', 'c', 'd']
+    >>> ma.masked_where(a == 2, b)
+    masked_array(data=['a', 'b', --, 'd'],
+                 mask=[False, False,  True, False],
+           fill_value='N/A',
+                dtype='>> c = ma.masked_where(a <= 2, a)
+    >>> c
+    masked_array(data=[--, --, --, 3],
+                 mask=[ True,  True,  True, False],
+           fill_value=999999)
+    >>> c[0] = 99
+    >>> c
+    masked_array(data=[99, --, --, 3],
+                 mask=[False,  True,  True, False],
+           fill_value=999999)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> c = ma.masked_where(a <= 2, a, copy=False)
+    >>> c[0] = 99
+    >>> c
+    masked_array(data=[99, --, --, 3],
+                 mask=[False,  True,  True, False],
+           fill_value=999999)
+    >>> a
+    array([99,  1,  2,  3])
+
+    When `condition` or `a` contain masked values.
+
+    >>> a = np.arange(4)
+    >>> a = ma.masked_where(a == 2, a)
+    >>> a
+    masked_array(data=[0, 1, --, 3],
+                 mask=[False, False,  True, False],
+           fill_value=999999)
+    >>> b = np.arange(4)
+    >>> b = ma.masked_where(b == 0, b)
+    >>> b
+    masked_array(data=[--, 1, 2, 3],
+                 mask=[ True, False, False, False],
+           fill_value=999999)
+    >>> ma.masked_where(a == 3, b)
+    masked_array(data=[--, 1, --, --],
+                 mask=[ True, False,  True,  True],
+           fill_value=999999)
+
+    """
+    # Make sure that condition is a valid standard-type mask.
+    cond = make_mask(condition, shrink=False)
+    a = np.array(a, copy=copy, subok=True)
+
+    (cshape, ashape) = (cond.shape, a.shape)
+    if cshape and cshape != ashape:
+        raise IndexError("Inconsistent shape between the condition and the input"
+                         " (got %s and %s)" % (cshape, ashape))
+    if hasattr(a, '_mask'):
+        cond = mask_or(cond, a._mask)
+        cls = type(a)
+    else:
+        cls = MaskedArray
+    result = a.view(cls)
+    # Assign to *.mask so that structured masks are handled correctly.
+    result.mask = _shrink_mask(cond)
+    # There is no view of a boolean so when 'a' is a MaskedArray with nomask
+    # the update to the result's mask has no effect.
+    if not copy and hasattr(a, '_mask') and getmask(a) is nomask:
+        a._mask = result._mask.view()
+    return result
+
+
+def masked_greater(x, value, copy=True):
+    """
+    Mask an array where greater than a given value.
+
+    This function is a shortcut to ``masked_where``, with
+    `condition` = (x > value).
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(4)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> ma.masked_greater(a, 2)
+    masked_array(data=[0, 1, 2, --],
+                 mask=[False, False, False,  True],
+           fill_value=999999)
+
+    """
+    return masked_where(greater(x, value), x, copy=copy)
+
+
+def masked_greater_equal(x, value, copy=True):
+    """
+    Mask an array where greater than or equal to a given value.
+
+    This function is a shortcut to ``masked_where``, with
+    `condition` = (x >= value).
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(4)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> ma.masked_greater_equal(a, 2)
+    masked_array(data=[0, 1, --, --],
+                 mask=[False, False,  True,  True],
+           fill_value=999999)
+
+    """
+    return masked_where(greater_equal(x, value), x, copy=copy)
+
+
+def masked_less(x, value, copy=True):
+    """
+    Mask an array where less than a given value.
+
+    This function is a shortcut to ``masked_where``, with
+    `condition` = (x < value).
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(4)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> ma.masked_less(a, 2)
+    masked_array(data=[--, --, 2, 3],
+                 mask=[ True,  True, False, False],
+           fill_value=999999)
+
+    """
+    return masked_where(less(x, value), x, copy=copy)
+
+
+def masked_less_equal(x, value, copy=True):
+    """
+    Mask an array where less than or equal to a given value.
+
+    This function is a shortcut to ``masked_where``, with
+    `condition` = (x <= value).
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(4)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> ma.masked_less_equal(a, 2)
+    masked_array(data=[--, --, --, 3],
+                 mask=[ True,  True,  True, False],
+           fill_value=999999)
+
+    """
+    return masked_where(less_equal(x, value), x, copy=copy)
+
+
+def masked_not_equal(x, value, copy=True):
+    """
+    Mask an array where *not* equal to a given value.
+
+    This function is a shortcut to ``masked_where``, with
+    `condition` = (x != value).
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(4)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> ma.masked_not_equal(a, 2)
+    masked_array(data=[--, --, 2, --],
+                 mask=[ True,  True, False,  True],
+           fill_value=999999)
+
+    """
+    return masked_where(not_equal(x, value), x, copy=copy)
+
+
+def masked_equal(x, value, copy=True):
+    """
+    Mask an array where equal to a given value.
+
+    Return a MaskedArray, masked where the data in array `x` are
+    equal to `value`. The fill_value of the returned MaskedArray
+    is set to `value`.
+
+    For floating point arrays, consider using ``masked_values(x, value)``.
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+    masked_values : Mask using floating point equality.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(4)
+    >>> a
+    array([0, 1, 2, 3])
+    >>> ma.masked_equal(a, 2)
+    masked_array(data=[0, 1, --, 3],
+                 mask=[False, False,  True, False],
+           fill_value=2)
+
+    """
+    output = masked_where(equal(x, value), x, copy=copy)
+    output.fill_value = value
+    return output
+
+
+def masked_inside(x, v1, v2, copy=True):
+    """
+    Mask an array inside a given interval.
+
+    Shortcut to ``masked_where``, where `condition` is True for `x` inside
+    the interval [v1,v2] (v1 <= x <= v2).  The boundaries `v1` and `v2`
+    can be given in either order.
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Notes
+    -----
+    The array `x` is prefilled with its filling value.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = [0.31, 1.2, 0.01, 0.2, -0.4, -1.1]
+    >>> ma.masked_inside(x, -0.3, 0.3)
+    masked_array(data=[0.31, 1.2, --, --, -0.4, -1.1],
+                 mask=[False, False,  True,  True, False, False],
+           fill_value=1e+20)
+
+    The order of `v1` and `v2` doesn't matter.
+
+    >>> ma.masked_inside(x, 0.3, -0.3)
+    masked_array(data=[0.31, 1.2, --, --, -0.4, -1.1],
+                 mask=[False, False,  True,  True, False, False],
+           fill_value=1e+20)
+
+    """
+    if v2 < v1:
+        (v1, v2) = (v2, v1)
+    xf = filled(x)
+    condition = (xf >= v1) & (xf <= v2)
+    return masked_where(condition, x, copy=copy)
+
+
+def masked_outside(x, v1, v2, copy=True):
+    """
+    Mask an array outside a given interval.
+
+    Shortcut to ``masked_where``, where `condition` is True for `x` outside
+    the interval [v1,v2] (x < v1)|(x > v2).
+    The boundaries `v1` and `v2` can be given in either order.
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Notes
+    -----
+    The array `x` is prefilled with its filling value.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = [0.31, 1.2, 0.01, 0.2, -0.4, -1.1]
+    >>> ma.masked_outside(x, -0.3, 0.3)
+    masked_array(data=[--, --, 0.01, 0.2, --, --],
+                 mask=[ True,  True, False, False,  True,  True],
+           fill_value=1e+20)
+
+    The order of `v1` and `v2` doesn't matter.
+
+    >>> ma.masked_outside(x, 0.3, -0.3)
+    masked_array(data=[--, --, 0.01, 0.2, --, --],
+                 mask=[ True,  True, False, False,  True,  True],
+           fill_value=1e+20)
+
+    """
+    if v2 < v1:
+        (v1, v2) = (v2, v1)
+    xf = filled(x)
+    condition = (xf < v1) | (xf > v2)
+    return masked_where(condition, x, copy=copy)
+
+
+def masked_object(x, value, copy=True, shrink=True):
+    """
+    Mask the array `x` where the data are exactly equal to value.
+
+    This function is similar to `masked_values`, but only suitable
+    for object arrays: for floating point, use `masked_values` instead.
+
+    Parameters
+    ----------
+    x : array_like
+        Array to mask
+    value : object
+        Comparison value
+    copy : {True, False}, optional
+        Whether to return a copy of `x`.
+    shrink : {True, False}, optional
+        Whether to collapse a mask full of False to nomask
+
+    Returns
+    -------
+    result : MaskedArray
+        The result of masking `x` where equal to `value`.
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+    masked_equal : Mask where equal to a given value (integers).
+    masked_values : Mask using floating point equality.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> food = np.array(['green_eggs', 'ham'], dtype=object)
+    >>> # don't eat spoiled food
+    >>> eat = ma.masked_object(food, 'green_eggs')
+    >>> eat
+    masked_array(data=[--, 'ham'],
+                 mask=[ True, False],
+           fill_value='green_eggs',
+                dtype=object)
+    >>> # plain ol` ham is boring
+    >>> fresh_food = np.array(['cheese', 'ham', 'pineapple'], dtype=object)
+    >>> eat = ma.masked_object(fresh_food, 'green_eggs')
+    >>> eat
+    masked_array(data=['cheese', 'ham', 'pineapple'],
+                 mask=False,
+           fill_value='green_eggs',
+                dtype=object)
+
+    Note that `mask` is set to ``nomask`` if possible.
+
+    >>> eat
+    masked_array(data=['cheese', 'ham', 'pineapple'],
+                 mask=False,
+           fill_value='green_eggs',
+                dtype=object)
+
+    """
+    if isMaskedArray(x):
+        condition = umath.equal(x._data, value)
+        mask = x._mask
+    else:
+        condition = umath.equal(np.asarray(x), value)
+        mask = nomask
+    mask = mask_or(mask, make_mask(condition, shrink=shrink))
+    return masked_array(x, mask=mask, copy=copy, fill_value=value)
+
+
+def masked_values(x, value, rtol=1e-5, atol=1e-8, copy=True, shrink=True):
+    """
+    Mask using floating point equality.
+
+    Return a MaskedArray, masked where the data in array `x` are approximately
+    equal to `value`, determined using `isclose`. The default tolerances for
+    `masked_values` are the same as those for `isclose`.
+
+    For integer types, exact equality is used, in the same way as
+    `masked_equal`.
+
+    The fill_value is set to `value` and the mask is set to ``nomask`` if
+    possible.
+
+    Parameters
+    ----------
+    x : array_like
+        Array to mask.
+    value : float
+        Masking value.
+    rtol, atol : float, optional
+        Tolerance parameters passed on to `isclose`
+    copy : bool, optional
+        Whether to return a copy of `x`.
+    shrink : bool, optional
+        Whether to collapse a mask full of False to ``nomask``.
+
+    Returns
+    -------
+    result : MaskedArray
+        The result of masking `x` where approximately equal to `value`.
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+    masked_equal : Mask where equal to a given value (integers).
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = np.array([1, 1.1, 2, 1.1, 3])
+    >>> ma.masked_values(x, 1.1)
+    masked_array(data=[1.0, --, 2.0, --, 3.0],
+                 mask=[False,  True, False,  True, False],
+           fill_value=1.1)
+
+    Note that `mask` is set to ``nomask`` if possible.
+
+    >>> ma.masked_values(x, 2.1)
+    masked_array(data=[1. , 1.1, 2. , 1.1, 3. ],
+                 mask=False,
+           fill_value=2.1)
+
+    Unlike `masked_equal`, `masked_values` can perform approximate equalities.
+
+    >>> ma.masked_values(x, 2.1, atol=1e-1)
+    masked_array(data=[1.0, 1.1, --, 1.1, 3.0],
+                 mask=[False, False,  True, False, False],
+           fill_value=2.1)
+
+    """
+    xnew = filled(x, value)
+    if np.issubdtype(xnew.dtype, np.floating):
+        mask = np.isclose(xnew, value, atol=atol, rtol=rtol)
+    else:
+        mask = umath.equal(xnew, value)
+    ret = masked_array(xnew, mask=mask, copy=copy, fill_value=value)
+    if shrink:
+        ret.shrink_mask()
+    return ret
+
+
+def masked_invalid(a, copy=True):
+    """
+    Mask an array where invalid values occur (NaNs or infs).
+
+    This function is a shortcut to ``masked_where``, with
+    `condition` = ~(np.isfinite(a)). Any pre-existing mask is conserved.
+    Only applies to arrays with a dtype where NaNs or infs make sense
+    (i.e. floating point types), but accepts any array_like object.
+
+    See Also
+    --------
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.arange(5, dtype=float)
+    >>> a[2] = np.nan
+    >>> a[3] = np.inf
+    >>> a
+    array([ 0.,  1., nan, inf,  4.])
+    >>> ma.masked_invalid(a)
+    masked_array(data=[0.0, 1.0, --, --, 4.0],
+                 mask=[False, False,  True,  True, False],
+           fill_value=1e+20)
+
+    """
+    a = np.array(a, copy=None, subok=True)
+    res = masked_where(~(np.isfinite(a)), a, copy=copy)
+    # masked_invalid previously never returned nomask as a mask and doing so
+    # threw off matplotlib (gh-22842).  So use shrink=False:
+    if res._mask is nomask:
+        res._mask = make_mask_none(res.shape, res.dtype)
+    return res
+
+###############################################################################
+#                            Printing options                                 #
+###############################################################################
+
+
+class _MaskedPrintOption:
+    """
+    Handle the string used to represent missing data in a masked array.
+
+    """
+
+    def __init__(self, display):
+        """
+        Create the masked_print_option object.
+
+        """
+        self._display = display
+        self._enabled = True
+
+    def display(self):
+        """
+        Display the string to print for masked values.
+
+        """
+        return self._display
+
+    def set_display(self, s):
+        """
+        Set the string to print for masked values.
+
+        """
+        self._display = s
+
+    def enabled(self):
+        """
+        Is the use of the display value enabled?
+
+        """
+        return self._enabled
+
+    def enable(self, shrink=1):
+        """
+        Set the enabling shrink to `shrink`.
+
+        """
+        self._enabled = shrink
+
+    def __str__(self):
+        return str(self._display)
+
+    __repr__ = __str__
+
+# if you single index into a masked location you get this object.
+masked_print_option = _MaskedPrintOption('--')
+
+
+def _recursive_printoption(result, mask, printopt):
+    """
+    Puts printoptions in result where mask is True.
+
+    Private function allowing for recursion
+
+    """
+    names = result.dtype.names
+    if names is not None:
+        for name in names:
+            curdata = result[name]
+            curmask = mask[name]
+            _recursive_printoption(curdata, curmask, printopt)
+    else:
+        np.copyto(result, printopt, where=mask)
+    return
+
+# For better or worse, these end in a newline
+_legacy_print_templates = dict(
+    long_std=textwrap.dedent("""\
+        masked_%(name)s(data =
+         %(data)s,
+        %(nlen)s        mask =
+         %(mask)s,
+        %(nlen)s  fill_value = %(fill)s)
+        """),
+    long_flx=textwrap.dedent("""\
+        masked_%(name)s(data =
+         %(data)s,
+        %(nlen)s        mask =
+         %(mask)s,
+        %(nlen)s  fill_value = %(fill)s,
+        %(nlen)s       dtype = %(dtype)s)
+        """),
+    short_std=textwrap.dedent("""\
+        masked_%(name)s(data = %(data)s,
+        %(nlen)s        mask = %(mask)s,
+        %(nlen)s  fill_value = %(fill)s)
+        """),
+    short_flx=textwrap.dedent("""\
+        masked_%(name)s(data = %(data)s,
+        %(nlen)s        mask = %(mask)s,
+        %(nlen)s  fill_value = %(fill)s,
+        %(nlen)s       dtype = %(dtype)s)
+        """)
+)
+
+###############################################################################
+#                          MaskedArray class                                  #
+###############################################################################
+
+
+def _recursive_filled(a, mask, fill_value):
+    """
+    Recursively fill `a` with `fill_value`.
+
+    """
+    names = a.dtype.names
+    for name in names:
+        current = a[name]
+        if current.dtype.names is not None:
+            _recursive_filled(current, mask[name], fill_value[name])
+        else:
+            np.copyto(current, fill_value[name], where=mask[name])
+
+
+def flatten_structured_array(a):
+    """
+    Flatten a structured array.
+
+    The data type of the output is chosen such that it can represent all of the
+    (nested) fields.
+
+    Parameters
+    ----------
+    a : structured array
+
+    Returns
+    -------
+    output : masked array or ndarray
+        A flattened masked array if the input is a masked array, otherwise a
+        standard ndarray.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> ndtype = [('a', int), ('b', float)]
+    >>> a = np.array([(1, 1), (2, 2)], dtype=ndtype)
+    >>> np.ma.flatten_structured_array(a)
+    array([[1., 1.],
+           [2., 2.]])
+
+    """
+
+    def flatten_sequence(iterable):
+        """
+        Flattens a compound of nested iterables.
+
+        """
+        for elm in iter(iterable):
+            if hasattr(elm, '__iter__'):
+                yield from flatten_sequence(elm)
+            else:
+                yield elm
+
+    a = np.asanyarray(a)
+    inishape = a.shape
+    a = a.ravel()
+    if isinstance(a, MaskedArray):
+        out = np.array([tuple(flatten_sequence(d.item())) for d in a._data])
+        out = out.view(MaskedArray)
+        out._mask = np.array([tuple(flatten_sequence(d.item()))
+                              for d in getmaskarray(a)])
+    else:
+        out = np.array([tuple(flatten_sequence(d.item())) for d in a])
+    if len(inishape) > 1:
+        newshape = list(out.shape)
+        newshape[0] = inishape
+        out.shape = tuple(flatten_sequence(newshape))
+    return out
+
+
+def _arraymethod(funcname, onmask=True):
+    """
+    Return a class method wrapper around a basic array method.
+
+    Creates a class method which returns a masked array, where the new
+    ``_data`` array is the output of the corresponding basic method called
+    on the original ``_data``.
+
+    If `onmask` is True, the new mask is the output of the method called
+    on the initial mask. Otherwise, the new mask is just a reference
+    to the initial mask.
+
+    Parameters
+    ----------
+    funcname : str
+        Name of the function to apply on data.
+    onmask : bool
+        Whether the mask must be processed also (True) or left
+        alone (False). Default is True. Make available as `_onmask`
+        attribute.
+
+    Returns
+    -------
+    method : instancemethod
+        Class method wrapper of the specified basic array method.
+
+    """
+    def wrapped_method(self, *args, **params):
+        result = getattr(self._data, funcname)(*args, **params)
+        result = result.view(type(self))
+        result._update_from(self)
+        mask = self._mask
+        if not onmask:
+            result.__setmask__(mask)
+        elif mask is not nomask:
+            # __setmask__ makes a copy, which we don't want
+            result._mask = getattr(mask, funcname)(*args, **params)
+        return result
+    methdoc = getattr(ndarray, funcname, None) or getattr(np, funcname, None)
+    if methdoc is not None:
+        wrapped_method.__doc__ = methdoc.__doc__
+    wrapped_method.__name__ = funcname
+    return wrapped_method
+
+
+class MaskedIterator:
+    """
+    Flat iterator object to iterate over masked arrays.
+
+    A `MaskedIterator` iterator is returned by ``x.flat`` for any masked array
+    `x`. It allows iterating over the array as if it were a 1-D array,
+    either in a for-loop or by calling its `next` method.
+
+    Iteration is done in C-contiguous style, with the last index varying the
+    fastest. The iterator can also be indexed using basic slicing or
+    advanced indexing.
+
+    See Also
+    --------
+    MaskedArray.flat : Return a flat iterator over an array.
+    MaskedArray.flatten : Returns a flattened copy of an array.
+
+    Notes
+    -----
+    `MaskedIterator` is not exported by the `ma` module. Instead of
+    instantiating a `MaskedIterator` directly, use `MaskedArray.flat`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array(arange(6).reshape(2, 3))
+    >>> fl = x.flat
+    >>> type(fl)
+    
+    >>> for item in fl:
+    ...     print(item)
+    ...
+    0
+    1
+    2
+    3
+    4
+    5
+
+    Extracting more than a single element b indexing the `MaskedIterator`
+    returns a masked array:
+
+    >>> fl[2:4]
+    masked_array(data = [2 3],
+                 mask = False,
+           fill_value = 999999)
+
+    """
+
+    def __init__(self, ma):
+        self.ma = ma
+        self.dataiter = ma._data.flat
+
+        if ma._mask is nomask:
+            self.maskiter = None
+        else:
+            self.maskiter = ma._mask.flat
+
+    def __iter__(self):
+        return self
+
+    def __getitem__(self, indx):
+        result = self.dataiter.__getitem__(indx).view(type(self.ma))
+        if self.maskiter is not None:
+            _mask = self.maskiter.__getitem__(indx)
+            if isinstance(_mask, ndarray):
+                # set shape to match that of data; this is needed for matrices
+                _mask.shape = result.shape
+                result._mask = _mask
+            elif isinstance(_mask, np.void):
+                return mvoid(result, mask=_mask, hardmask=self.ma._hardmask)
+            elif _mask:  # Just a scalar, masked
+                return masked
+        return result
+
+    # This won't work if ravel makes a copy
+    def __setitem__(self, index, value):
+        self.dataiter[index] = getdata(value)
+        if self.maskiter is not None:
+            self.maskiter[index] = getmaskarray(value)
+
+    def __next__(self):
+        """
+        Return the next value, or raise StopIteration.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([3, 2], mask=[0, 1])
+        >>> fl = x.flat
+        >>> next(fl)
+        3
+        >>> next(fl)
+        masked
+        >>> next(fl)
+        Traceback (most recent call last):
+          ...
+        StopIteration
+
+        """
+        d = next(self.dataiter)
+        if self.maskiter is not None:
+            m = next(self.maskiter)
+            if isinstance(m, np.void):
+                return mvoid(d, mask=m, hardmask=self.ma._hardmask)
+            elif m:  # Just a scalar, masked
+                return masked
+        return d
+
+
+@set_module("numpy.ma")
+class MaskedArray(ndarray):
+    """
+    An array class with possibly masked values.
+
+    Masked values of True exclude the corresponding element from any
+    computation.
+
+    Construction::
+
+      x = MaskedArray(data, mask=nomask, dtype=None, copy=False, subok=True,
+                      ndmin=0, fill_value=None, keep_mask=True, hard_mask=None,
+                      shrink=True, order=None)
+
+    Parameters
+    ----------
+    data : array_like
+        Input data.
+    mask : sequence, optional
+        Mask. Must be convertible to an array of booleans with the same
+        shape as `data`. True indicates a masked (i.e. invalid) data.
+    dtype : dtype, optional
+        Data type of the output.
+        If `dtype` is None, the type of the data argument (``data.dtype``)
+        is used. If `dtype` is not None and different from ``data.dtype``,
+        a copy is performed.
+    copy : bool, optional
+        Whether to copy the input data (True), or to use a reference instead.
+        Default is False.
+    subok : bool, optional
+        Whether to return a subclass of `MaskedArray` if possible (True) or a
+        plain `MaskedArray`. Default is True.
+    ndmin : int, optional
+        Minimum number of dimensions. Default is 0.
+    fill_value : scalar, optional
+        Value used to fill in the masked values when necessary.
+        If None, a default based on the data-type is used.
+    keep_mask : bool, optional
+        Whether to combine `mask` with the mask of the input data, if any
+        (True), or to use only `mask` for the output (False). Default is True.
+    hard_mask : bool, optional
+        Whether to use a hard mask or not. With a hard mask, masked values
+        cannot be unmasked. Default is False.
+    shrink : bool, optional
+        Whether to force compression of an empty mask. Default is True.
+    order : {'C', 'F', 'A'}, optional
+        Specify the order of the array.  If order is 'C', then the array
+        will be in C-contiguous order (last-index varies the fastest).
+        If order is 'F', then the returned array will be in
+        Fortran-contiguous order (first-index varies the fastest).
+        If order is 'A' (default), then the returned array may be
+        in any order (either C-, Fortran-contiguous, or even discontiguous),
+        unless a copy is required, in which case it will be C-contiguous.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    The ``mask`` can be initialized with an array of boolean values
+    with the same shape as ``data``.
+
+    >>> data = np.arange(6).reshape((2, 3))
+    >>> np.ma.MaskedArray(data, mask=[[False, True, False],
+    ...                               [False, False, True]])
+    masked_array(
+      data=[[0, --, 2],
+            [3, 4, --]],
+      mask=[[False,  True, False],
+            [False, False,  True]],
+      fill_value=999999)
+
+    Alternatively, the ``mask`` can be initialized to homogeneous boolean
+    array with the same shape as ``data`` by passing in a scalar
+    boolean value:
+
+    >>> np.ma.MaskedArray(data, mask=False)
+    masked_array(
+      data=[[0, 1, 2],
+            [3, 4, 5]],
+      mask=[[False, False, False],
+            [False, False, False]],
+      fill_value=999999)
+
+    >>> np.ma.MaskedArray(data, mask=True)
+    masked_array(
+      data=[[--, --, --],
+            [--, --, --]],
+      mask=[[ True,  True,  True],
+            [ True,  True,  True]],
+      fill_value=999999,
+      dtype=int64)
+
+    .. note::
+        The recommended practice for initializing ``mask`` with a scalar
+        boolean value is to use ``True``/``False`` rather than
+        ``np.True_``/``np.False_``. The reason is :attr:`nomask`
+        is represented internally as ``np.False_``.
+
+        >>> np.False_ is np.ma.nomask
+        True
+
+    """
+
+    __array_priority__ = 15
+    _defaultmask = nomask
+    _defaulthardmask = False
+    _baseclass = ndarray
+
+    # Maximum number of elements per axis used when printing an array. The
+    # 1d case is handled separately because we need more values in this case.
+    _print_width = 100
+    _print_width_1d = 1500
+
+    def __new__(cls, data=None, mask=nomask, dtype=None, copy=False,
+                subok=True, ndmin=0, fill_value=None, keep_mask=True,
+                hard_mask=None, shrink=True, order=None):
+        """
+        Create a new masked array from scratch.
+
+        Notes
+        -----
+        A masked array can also be created by taking a .view(MaskedArray).
+
+        """
+        # Process data.
+        copy = None if not copy else True
+        _data = np.array(data, dtype=dtype, copy=copy,
+                         order=order, subok=True, ndmin=ndmin)
+        _baseclass = getattr(data, '_baseclass', type(_data))
+        # Check that we're not erasing the mask.
+        if isinstance(data, MaskedArray) and (data.shape != _data.shape):
+            copy = True
+
+        # Here, we copy the _view_, so that we can attach new properties to it
+        # we must never do .view(MaskedConstant), as that would create a new
+        # instance of np.ma.masked, which make identity comparison fail
+        if isinstance(data, cls) and subok and not isinstance(data, MaskedConstant):
+            _data = ndarray.view(_data, type(data))
+        else:
+            _data = ndarray.view(_data, cls)
+
+        # Handle the case where data is not a subclass of ndarray, but
+        # still has the _mask attribute like MaskedArrays
+        if hasattr(data, '_mask') and not isinstance(data, ndarray):
+            _data._mask = data._mask
+            # FIXME: should we set `_data._sharedmask = True`?
+        # Process mask.
+        # Type of the mask
+        mdtype = make_mask_descr(_data.dtype)
+        if mask is nomask:
+            # Case 1. : no mask in input.
+            # Erase the current mask ?
+            if not keep_mask:
+                # With a reduced version
+                if shrink:
+                    _data._mask = nomask
+                # With full version
+                else:
+                    _data._mask = np.zeros(_data.shape, dtype=mdtype)
+            # Check whether we missed something
+            elif isinstance(data, (tuple, list)):
+                try:
+                    # If data is a sequence of masked array
+                    mask = np.array(
+                        [getmaskarray(np.asanyarray(m, dtype=_data.dtype))
+                         for m in data], dtype=mdtype)
+                except (ValueError, TypeError):
+                    # If data is nested
+                    mask = nomask
+                # Force shrinking of the mask if needed (and possible)
+                if (mdtype == MaskType) and mask.any():
+                    _data._mask = mask
+                    _data._sharedmask = False
+            else:
+                _data._sharedmask = not copy
+                if copy:
+                    _data._mask = _data._mask.copy()
+                    # Reset the shape of the original mask
+                    if getmask(data) is not nomask:
+                        # gh-21022 encounters an issue here
+                        # because data._mask.shape is not writeable, but
+                        # the op was also pointless in that case, because
+                        # the shapes were the same, so we can at least
+                        # avoid that path
+                        if data._mask.shape != data.shape:
+                            data._mask.shape = data.shape
+        else:
+            # Case 2. : With a mask in input.
+            # If mask is boolean, create an array of True or False
+
+            # if users pass `mask=None` be forgiving here and cast it False
+            # for speed; although the default is `mask=nomask` and can differ.
+            if mask is None:
+                mask = False
+
+            if mask is True and mdtype == MaskType:
+                mask = np.ones(_data.shape, dtype=mdtype)
+            elif mask is False and mdtype == MaskType:
+                mask = np.zeros(_data.shape, dtype=mdtype)
+            else:
+                # Read the mask with the current mdtype
+                try:
+                    mask = np.array(mask, copy=copy, dtype=mdtype)
+                # Or assume it's a sequence of bool/int
+                except TypeError:
+                    mask = np.array([tuple([m] * len(mdtype)) for m in mask],
+                                    dtype=mdtype)
+            # Make sure the mask and the data have the same shape
+            if mask.shape != _data.shape:
+                (nd, nm) = (_data.size, mask.size)
+                if nm == 1:
+                    mask = np.resize(mask, _data.shape)
+                elif nm == nd:
+                    mask = np.reshape(mask, _data.shape)
+                else:
+                    msg = "Mask and data not compatible: data size is %i, " + \
+                          "mask size is %i."
+                    raise MaskError(msg % (nd, nm))
+                copy = True
+            # Set the mask to the new value
+            if _data._mask is nomask:
+                _data._mask = mask
+                _data._sharedmask = not copy
+            else:
+                if not keep_mask:
+                    _data._mask = mask
+                    _data._sharedmask = not copy
+                else:
+                    if _data.dtype.names is not None:
+                        def _recursive_or(a, b):
+                            "do a|=b on each field of a, recursively"
+                            for name in a.dtype.names:
+                                (af, bf) = (a[name], b[name])
+                                if af.dtype.names is not None:
+                                    _recursive_or(af, bf)
+                                else:
+                                    af |= bf
+
+                        _recursive_or(_data._mask, mask)
+                    else:
+                        _data._mask = np.logical_or(mask, _data._mask)
+                    _data._sharedmask = False
+
+        # Update fill_value.
+        if fill_value is None:
+            fill_value = getattr(data, '_fill_value', None)
+        # But don't run the check unless we have something to check.
+        if fill_value is not None:
+            _data._fill_value = _check_fill_value(fill_value, _data.dtype)
+        # Process extra options ..
+        if hard_mask is None:
+            _data._hardmask = getattr(data, '_hardmask', False)
+        else:
+            _data._hardmask = hard_mask
+        _data._baseclass = _baseclass
+        return _data
+
+
+    def _update_from(self, obj):
+        """
+        Copies some attributes of obj to self.
+
+        """
+        if isinstance(obj, ndarray):
+            _baseclass = type(obj)
+        else:
+            _baseclass = ndarray
+        # We need to copy the _basedict to avoid backward propagation
+        _optinfo = {}
+        _optinfo.update(getattr(obj, '_optinfo', {}))
+        _optinfo.update(getattr(obj, '_basedict', {}))
+        if not isinstance(obj, MaskedArray):
+            _optinfo.update(getattr(obj, '__dict__', {}))
+        _dict = dict(_fill_value=getattr(obj, '_fill_value', None),
+                     _hardmask=getattr(obj, '_hardmask', False),
+                     _sharedmask=getattr(obj, '_sharedmask', False),
+                     _isfield=getattr(obj, '_isfield', False),
+                     _baseclass=getattr(obj, '_baseclass', _baseclass),
+                     _optinfo=_optinfo,
+                     _basedict=_optinfo)
+        self.__dict__.update(_dict)
+        self.__dict__.update(_optinfo)
+        return
+
+    def __array_finalize__(self, obj):
+        """
+        Finalizes the masked array.
+
+        """
+        # Get main attributes.
+        self._update_from(obj)
+
+        # We have to decide how to initialize self.mask, based on
+        # obj.mask. This is very difficult.  There might be some
+        # correspondence between the elements in the array we are being
+        # created from (= obj) and us. Or there might not. This method can
+        # be called in all kinds of places for all kinds of reasons -- could
+        # be empty_like, could be slicing, could be a ufunc, could be a view.
+        # The numpy subclassing interface simply doesn't give us any way
+        # to know, which means that at best this method will be based on
+        # guesswork and heuristics. To make things worse, there isn't even any
+        # clear consensus about what the desired behavior is. For instance,
+        # most users think that np.empty_like(marr) -- which goes via this
+        # method -- should return a masked array with an empty mask (see
+        # gh-3404 and linked discussions), but others disagree, and they have
+        # existing code which depends on empty_like returning an array that
+        # matches the input mask.
+        #
+        # Historically our algorithm was: if the template object mask had the
+        # same *number of elements* as us, then we used *it's mask object
+        # itself* as our mask, so that writes to us would also write to the
+        # original array. This is horribly broken in multiple ways.
+        #
+        # Now what we do instead is, if the template object mask has the same
+        # number of elements as us, and we do not have the same base pointer
+        # as the template object (b/c views like arr[...] should keep the same
+        # mask), then we make a copy of the template object mask and use
+        # that. This is also horribly broken but somewhat less so. Maybe.
+        if isinstance(obj, ndarray):
+            # XX: This looks like a bug -- shouldn't it check self.dtype
+            # instead?
+            if obj.dtype.names is not None:
+                _mask = getmaskarray(obj)
+            else:
+                _mask = getmask(obj)
+
+            # If self and obj point to exactly the same data, then probably
+            # self is a simple view of obj (e.g., self = obj[...]), so they
+            # should share the same mask. (This isn't 100% reliable, e.g. self
+            # could be the first row of obj, or have strange strides, but as a
+            # heuristic it's not bad.) In all other cases, we make a copy of
+            # the mask, so that future modifications to 'self' do not end up
+            # side-effecting 'obj' as well.
+            if (_mask is not nomask and obj.__array_interface__["data"][0]
+                    != self.__array_interface__["data"][0]):
+                # We should make a copy. But we could get here via astype,
+                # in which case the mask might need a new dtype as well
+                # (e.g., changing to or from a structured dtype), and the
+                # order could have changed. So, change the mask type if
+                # needed and use astype instead of copy.
+                if self.dtype == obj.dtype:
+                    _mask_dtype = _mask.dtype
+                else:
+                    _mask_dtype = make_mask_descr(self.dtype)
+
+                if self.flags.c_contiguous:
+                    order = "C"
+                elif self.flags.f_contiguous:
+                    order = "F"
+                else:
+                    order = "K"
+
+                _mask = _mask.astype(_mask_dtype, order)
+            else:
+                # Take a view so shape changes, etc., do not propagate back.
+                _mask = _mask.view()
+        else:
+            _mask = nomask
+
+        self._mask = _mask
+        # Finalize the mask
+        if self._mask is not nomask:
+            try:
+                self._mask.shape = self.shape
+            except ValueError:
+                self._mask = nomask
+            except (TypeError, AttributeError):
+                # When _mask.shape is not writable (because it's a void)
+                pass
+
+        # Finalize the fill_value
+        if self._fill_value is not None:
+            self._fill_value = _check_fill_value(self._fill_value, self.dtype)
+        elif self.dtype.names is not None:
+            # Finalize the default fill_value for structured arrays
+            self._fill_value = _check_fill_value(None, self.dtype)
+
+    def __array_wrap__(self, obj, context=None, return_scalar=False):
+        """
+        Special hook for ufuncs.
+
+        Wraps the numpy array and sets the mask according to context.
+
+        """
+        if obj is self:  # for in-place operations
+            result = obj
+        else:
+            result = obj.view(type(self))
+            result._update_from(self)
+
+        if context is not None:
+            result._mask = result._mask.copy()
+            func, args, out_i = context
+            # args sometimes contains outputs (gh-10459), which we don't want
+            input_args = args[:func.nin]
+            m = functools.reduce(mask_or, [getmaskarray(arg) for arg in input_args])
+            # Get the domain mask
+            domain = ufunc_domain.get(func)
+            if domain is not None:
+                # Take the domain, and make sure it's a ndarray
+                with np.errstate(divide='ignore', invalid='ignore'):
+                    # The result may be masked for two (unary) domains.
+                    # That can't really be right as some domains drop
+                    # the mask and some don't behaving differently here.
+                    d = domain(*input_args).astype(bool, copy=False)
+                    d = filled(d, True)
+
+                if d.any():
+                    # Fill the result where the domain is wrong
+                    try:
+                        # Binary domain: take the last value
+                        fill_value = ufunc_fills[func][-1]
+                    except TypeError:
+                        # Unary domain: just use this one
+                        fill_value = ufunc_fills[func]
+                    except KeyError:
+                        # Domain not recognized, use fill_value instead
+                        fill_value = self.fill_value
+
+                    np.copyto(result, fill_value, where=d)
+
+                    # Update the mask
+                    if m is nomask:
+                        m = d
+                    else:
+                        # Don't modify inplace, we risk back-propagation
+                        m = (m | d)
+
+            # Make sure the mask has the proper size
+            if result is not self and result.shape == () and m:
+                return masked
+            else:
+                result._mask = m
+                result._sharedmask = False
+
+        return result
+
+    def view(self, dtype=None, type=None, fill_value=None):
+        """
+        Return a view of the MaskedArray data.
+
+        Parameters
+        ----------
+        dtype : data-type or ndarray sub-class, optional
+            Data-type descriptor of the returned view, e.g., float32 or int16.
+            The default, None, results in the view having the same data-type
+            as `a`. As with ``ndarray.view``, dtype can also be specified as
+            an ndarray sub-class, which then specifies the type of the
+            returned object (this is equivalent to setting the ``type``
+            parameter).
+        type : Python type, optional
+            Type of the returned view, either ndarray or a subclass.  The
+            default None results in type preservation.
+        fill_value : scalar, optional
+            The value to use for invalid entries (None by default).
+            If None, then this argument is inferred from the passed `dtype`, or
+            in its absence the original array, as discussed in the notes below.
+
+        See Also
+        --------
+        numpy.ndarray.view : Equivalent method on ndarray object.
+
+        Notes
+        -----
+
+        ``a.view()`` is used two different ways:
+
+        ``a.view(some_dtype)`` or ``a.view(dtype=some_dtype)`` constructs a view
+        of the array's memory with a different data-type.  This can cause a
+        reinterpretation of the bytes of memory.
+
+        ``a.view(ndarray_subclass)`` or ``a.view(type=ndarray_subclass)`` just
+        returns an instance of `ndarray_subclass` that looks at the same array
+        (same shape, dtype, etc.)  This does not cause a reinterpretation of the
+        memory.
+
+        If `fill_value` is not specified, but `dtype` is specified (and is not
+        an ndarray sub-class), the `fill_value` of the MaskedArray will be
+        reset. If neither `fill_value` nor `dtype` are specified (or if
+        `dtype` is an ndarray sub-class), then the fill value is preserved.
+        Finally, if `fill_value` is specified, but `dtype` is not, the fill
+        value is set to the specified value.
+
+        For ``a.view(some_dtype)``, if ``some_dtype`` has a different number of
+        bytes per entry than the previous dtype (for example, converting a
+        regular array to a structured array), then the behavior of the view
+        cannot be predicted just from the superficial appearance of ``a`` (shown
+        by ``print(a)``). It also depends on exactly how ``a`` is stored in
+        memory. Therefore if ``a`` is C-ordered versus fortran-ordered, versus
+        defined as a slice or transpose, etc., the view may give different
+        results.
+        """
+
+        if dtype is None:
+            if type is None:
+                output = ndarray.view(self)
+            else:
+                output = ndarray.view(self, type)
+        elif type is None:
+            try:
+                if issubclass(dtype, ndarray):
+                    output = ndarray.view(self, dtype)
+                    dtype = None
+                else:
+                    output = ndarray.view(self, dtype)
+            except TypeError:
+                output = ndarray.view(self, dtype)
+        else:
+            output = ndarray.view(self, dtype, type)
+
+        # also make the mask be a view (so attr changes to the view's
+        # mask do no affect original object's mask)
+        # (especially important to avoid affecting np.masked singleton)
+        if getmask(output) is not nomask:
+            output._mask = output._mask.view()
+
+        # Make sure to reset the _fill_value if needed
+        if getattr(output, '_fill_value', None) is not None:
+            if fill_value is None:
+                if dtype is None:
+                    pass  # leave _fill_value as is
+                else:
+                    output._fill_value = None
+            else:
+                output.fill_value = fill_value
+        return output
+
+    def __getitem__(self, indx):
+        """
+        x.__getitem__(y) <==> x[y]
+
+        Return the item described by i, as a masked array.
+
+        """
+        # We could directly use ndarray.__getitem__ on self.
+        # But then we would have to modify __array_finalize__ to prevent the
+        # mask of being reshaped if it hasn't been set up properly yet
+        # So it's easier to stick to the current version
+        dout = self.data[indx]
+        _mask = self._mask
+
+        def _is_scalar(m):
+            return not isinstance(m, np.ndarray)
+
+        def _scalar_heuristic(arr, elem):
+            """
+            Return whether `elem` is a scalar result of indexing `arr`, or None
+            if undecidable without promoting nomask to a full mask
+            """
+            # obviously a scalar
+            if not isinstance(elem, np.ndarray):
+                return True
+
+            # object array scalar indexing can return anything
+            elif arr.dtype.type is np.object_:
+                if arr.dtype is not elem.dtype:
+                    # elem is an array, but dtypes do not match, so must be
+                    # an element
+                    return True
+
+            # well-behaved subclass that only returns 0d arrays when
+            # expected - this is not a scalar
+            elif type(arr).__getitem__ == ndarray.__getitem__:
+                return False
+
+            return None
+
+        if _mask is not nomask:
+            # _mask cannot be a subclass, so it tells us whether we should
+            # expect a scalar. It also cannot be of dtype object.
+            mout = _mask[indx]
+            scalar_expected = _is_scalar(mout)
+
+        else:
+            # attempt to apply the heuristic to avoid constructing a full mask
+            mout = nomask
+            scalar_expected = _scalar_heuristic(self.data, dout)
+            if scalar_expected is None:
+                # heuristics have failed
+                # construct a full array, so we can be certain. This is costly.
+                # we could also fall back on ndarray.__getitem__(self.data, indx)
+                scalar_expected = _is_scalar(getmaskarray(self)[indx])
+
+        # Did we extract a single item?
+        if scalar_expected:
+            # A record
+            if isinstance(dout, np.void):
+                # We should always re-cast to mvoid, otherwise users can
+                # change masks on rows that already have masked values, but not
+                # on rows that have no masked values, which is inconsistent.
+                return mvoid(dout, mask=mout, hardmask=self._hardmask)
+
+            # special case introduced in gh-5962
+            elif (self.dtype.type is np.object_ and
+                  isinstance(dout, np.ndarray) and
+                  dout is not masked):
+                # If masked, turn into a MaskedArray, with everything masked.
+                if mout:
+                    return MaskedArray(dout, mask=True)
+                else:
+                    return dout
+
+            # Just a scalar
+            else:
+                if mout:
+                    return masked
+                else:
+                    return dout
+        else:
+            # Force dout to MA
+            dout = dout.view(type(self))
+            # Inherit attributes from self
+            dout._update_from(self)
+            # Check the fill_value
+            if is_string_or_list_of_strings(indx):
+                if self._fill_value is not None:
+                    dout._fill_value = self._fill_value[indx]
+
+                    # Something like gh-15895 has happened if this check fails.
+                    # _fill_value should always be an ndarray.
+                    if not isinstance(dout._fill_value, np.ndarray):
+                        raise RuntimeError('Internal NumPy error.')
+                    # If we're indexing a multidimensional field in a
+                    # structured array (such as dtype("(2,)i2,(2,)i1")),
+                    # dimensionality goes up (M[field].ndim == M.ndim +
+                    # M.dtype[field].ndim).  That's fine for
+                    # M[field] but problematic for M[field].fill_value
+                    # which should have shape () to avoid breaking several
+                    # methods. There is no great way out, so set to
+                    # first element. See issue #6723.
+                    if dout._fill_value.ndim > 0:
+                        if not (dout._fill_value ==
+                                dout._fill_value.flat[0]).all():
+                            warnings.warn(
+                                "Upon accessing multidimensional field "
+                                f"{indx!s}, need to keep dimensionality "
+                                "of fill_value at 0. Discarding "
+                                "heterogeneous fill_value and setting "
+                                f"all to {dout._fill_value[0]!s}.",
+                                stacklevel=2)
+                        # Need to use `.flat[0:1].squeeze(...)` instead of just
+                        # `.flat[0]` to ensure the result is a 0d array and not
+                        # a scalar.
+                        dout._fill_value = dout._fill_value.flat[0:1].squeeze(axis=0)
+                dout._isfield = True
+            # Update the mask if needed
+            if mout is not nomask:
+                # set shape to match that of data; this is needed for matrices
+                dout._mask = reshape(mout, dout.shape)
+                dout._sharedmask = True
+                # Note: Don't try to check for m.any(), that'll take too long
+        return dout
+
+    # setitem may put NaNs into integer arrays or occasionally overflow a
+    # float.  But this may happen in masked values, so avoid otherwise
+    # correct warnings (as is typical also in masked calculations).
+    @np.errstate(over='ignore', invalid='ignore')
+    def __setitem__(self, indx, value):
+        """
+        x.__setitem__(i, y) <==> x[i]=y
+
+        Set item described by index. If value is masked, masks those
+        locations.
+
+        """
+        if self is masked:
+            raise MaskError('Cannot alter the masked element.')
+        _data = self._data
+        _mask = self._mask
+        if isinstance(indx, str):
+            _data[indx] = value
+            if _mask is nomask:
+                self._mask = _mask = make_mask_none(self.shape, self.dtype)
+            _mask[indx] = getmask(value)
+            return
+
+        _dtype = _data.dtype
+
+        if value is masked:
+            # The mask wasn't set: create a full version.
+            if _mask is nomask:
+                _mask = self._mask = make_mask_none(self.shape, _dtype)
+            # Now, set the mask to its value.
+            if _dtype.names is not None:
+                _mask[indx] = tuple([True] * len(_dtype.names))
+            else:
+                _mask[indx] = True
+            return
+
+        # Get the _data part of the new value
+        dval = getattr(value, '_data', value)
+        # Get the _mask part of the new value
+        mval = getmask(value)
+        if _dtype.names is not None and mval is nomask:
+            mval = tuple([False] * len(_dtype.names))
+        if _mask is nomask:
+            # Set the data, then the mask
+            _data[indx] = dval
+            if mval is not nomask:
+                _mask = self._mask = make_mask_none(self.shape, _dtype)
+                _mask[indx] = mval
+        elif not self._hardmask:
+            # Set the data, then the mask
+            if (isinstance(indx, masked_array) and
+                    not isinstance(value, masked_array)):
+                _data[indx.data] = dval
+            else:
+                _data[indx] = dval
+                _mask[indx] = mval
+        elif hasattr(indx, 'dtype') and (indx.dtype == MaskType):
+            indx = indx * umath.logical_not(_mask)
+            _data[indx] = dval
+        else:
+            if _dtype.names is not None:
+                err_msg = "Flexible 'hard' masks are not yet supported."
+                raise NotImplementedError(err_msg)
+            mindx = mask_or(_mask[indx], mval, copy=True)
+            dindx = self._data[indx]
+            if dindx.size > 1:
+                np.copyto(dindx, dval, where=~mindx)
+            elif mindx is nomask:
+                dindx = dval
+            _data[indx] = dindx
+            _mask[indx] = mindx
+        return
+
+    # Define so that we can overwrite the setter.
+    @property
+    def dtype(self):
+        return super().dtype
+
+    @dtype.setter
+    def dtype(self, dtype):
+        super(MaskedArray, type(self)).dtype.__set__(self, dtype)
+        if self._mask is not nomask:
+            self._mask = self._mask.view(make_mask_descr(dtype), ndarray)
+            # Try to reset the shape of the mask (if we don't have a void).
+            # This raises a ValueError if the dtype change won't work.
+            try:
+                self._mask.shape = self.shape
+            except (AttributeError, TypeError):
+                pass
+
+    @property
+    def shape(self):
+        return super().shape
+
+    @shape.setter
+    def shape(self, shape):
+        super(MaskedArray, type(self)).shape.__set__(self, shape)
+        # Cannot use self._mask, since it may not (yet) exist when a
+        # masked matrix sets the shape.
+        if getmask(self) is not nomask:
+            self._mask.shape = self.shape
+
+    def __setmask__(self, mask, copy=False):
+        """
+        Set the mask.
+
+        """
+        idtype = self.dtype
+        current_mask = self._mask
+        if mask is masked:
+            mask = True
+
+        if current_mask is nomask:
+            # Make sure the mask is set
+            # Just don't do anything if there's nothing to do.
+            if mask is nomask:
+                return
+            current_mask = self._mask = make_mask_none(self.shape, idtype)
+
+        if idtype.names is None:
+            # No named fields.
+            # Hardmask: don't unmask the data
+            if self._hardmask:
+                current_mask |= mask
+            # Softmask: set everything to False
+            # If it's obviously a compatible scalar, use a quick update
+            # method.
+            elif isinstance(mask, (int, float, np.bool, np.number)):
+                current_mask[...] = mask
+            # Otherwise fall back to the slower, general purpose way.
+            else:
+                current_mask.flat = mask
+        else:
+            # Named fields w/
+            mdtype = current_mask.dtype
+            mask = np.asarray(mask)
+            # Mask is a singleton
+            if not mask.ndim:
+                # It's a boolean : make a record
+                if mask.dtype.kind == 'b':
+                    mask = np.array(tuple([mask.item()] * len(mdtype)),
+                                    dtype=mdtype)
+                # It's a record: make sure the dtype is correct
+                else:
+                    mask = mask.astype(mdtype)
+            # Mask is a sequence
+            else:
+                # Make sure the new mask is a ndarray with the proper dtype
+                try:
+                    copy = None if not copy else True
+                    mask = np.array(mask, copy=copy, dtype=mdtype)
+                # Or assume it's a sequence of bool/int
+                except TypeError:
+                    mask = np.array([tuple([m] * len(mdtype)) for m in mask],
+                                    dtype=mdtype)
+            # Hardmask: don't unmask the data
+            if self._hardmask:
+                for n in idtype.names:
+                    current_mask[n] |= mask[n]
+            # Softmask: set everything to False
+            # If it's obviously a compatible scalar, use a quick update
+            # method.
+            elif isinstance(mask, (int, float, np.bool, np.number)):
+                current_mask[...] = mask
+            # Otherwise fall back to the slower, general purpose way.
+            else:
+                current_mask.flat = mask
+        # Reshape if needed
+        if current_mask.shape:
+            current_mask.shape = self.shape
+        return
+
+    _set_mask = __setmask__
+
+    @property
+    def mask(self):
+        """ Current mask. """
+
+        # We could try to force a reshape, but that wouldn't work in some
+        # cases.
+        # Return a view so that the dtype and shape cannot be changed in place
+        # This still preserves nomask by identity
+        return self._mask.view()
+
+    @mask.setter
+    def mask(self, value):
+        self.__setmask__(value)
+
+    @property
+    def recordmask(self):
+        """
+        Get or set the mask of the array if it has no named fields. For
+        structured arrays, returns a ndarray of booleans where entries are
+        ``True`` if **all** the fields are masked, ``False`` otherwise:
+
+        >>> x = np.ma.array([(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)],
+        ...         mask=[(0, 0), (1, 0), (1, 1), (0, 1), (0, 0)],
+        ...        dtype=[('a', int), ('b', int)])
+        >>> x.recordmask
+        array([False, False,  True, False, False])
+        """
+
+        _mask = self._mask.view(ndarray)
+        if _mask.dtype.names is None:
+            return _mask
+        return np.all(flatten_structured_array(_mask), axis=-1)
+
+    @recordmask.setter
+    def recordmask(self, mask):
+        raise NotImplementedError("Coming soon: setting the mask per records!")
+
+    def harden_mask(self):
+        """
+        Force the mask to hard, preventing unmasking by assignment.
+
+        Whether the mask of a masked array is hard or soft is determined by
+        its `~ma.MaskedArray.hardmask` property. `harden_mask` sets
+        `~ma.MaskedArray.hardmask` to ``True`` (and returns the modified
+        self).
+
+        See Also
+        --------
+        ma.MaskedArray.hardmask
+        ma.MaskedArray.soften_mask
+
+        """
+        self._hardmask = True
+        return self
+
+    def soften_mask(self):
+        """
+        Force the mask to soft (default), allowing unmasking by assignment.
+
+        Whether the mask of a masked array is hard or soft is determined by
+        its `~ma.MaskedArray.hardmask` property. `soften_mask` sets
+        `~ma.MaskedArray.hardmask` to ``False`` (and returns the modified
+        self).
+
+        See Also
+        --------
+        ma.MaskedArray.hardmask
+        ma.MaskedArray.harden_mask
+
+        """
+        self._hardmask = False
+        return self
+
+    @property
+    def hardmask(self):
+        """
+        Specifies whether values can be unmasked through assignments.
+
+        By default, assigning definite values to masked array entries will
+        unmask them.  When `hardmask` is ``True``, the mask will not change
+        through assignments.
+
+        See Also
+        --------
+        ma.MaskedArray.harden_mask
+        ma.MaskedArray.soften_mask
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.arange(10)
+        >>> m = np.ma.masked_array(x, x>5)
+        >>> assert not m.hardmask
+
+        Since `m` has a soft mask, assigning an element value unmasks that
+        element:
+
+        >>> m[8] = 42
+        >>> m
+        masked_array(data=[0, 1, 2, 3, 4, 5, --, --, 42, --],
+                     mask=[False, False, False, False, False, False,
+                           True, True, False, True],
+               fill_value=999999)
+
+        After hardening, the mask is not affected by assignments:
+
+        >>> hardened = np.ma.harden_mask(m)
+        >>> assert m.hardmask and hardened is m
+        >>> m[:] = 23
+        >>> m
+        masked_array(data=[23, 23, 23, 23, 23, 23, --, --, 23, --],
+                     mask=[False, False, False, False, False, False,
+                           True, True, False, True],
+               fill_value=999999)
+
+        """
+        return self._hardmask
+
+    def unshare_mask(self):
+        """
+        Copy the mask and set the `sharedmask` flag to ``False``.
+
+        Whether the mask is shared between masked arrays can be seen from
+        the `sharedmask` property. `unshare_mask` ensures the mask is not
+        shared. A copy of the mask is only made if it was shared.
+
+        See Also
+        --------
+        sharedmask
+
+        """
+        if self._sharedmask:
+            self._mask = self._mask.copy()
+            self._sharedmask = False
+        return self
+
+    @property
+    def sharedmask(self):
+        """ Share status of the mask (read-only). """
+        return self._sharedmask
+
+    def shrink_mask(self):
+        """
+        Reduce a mask to nomask when possible.
+
+        Parameters
+        ----------
+        None
+
+        Returns
+        -------
+        None
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2 ], [3, 4]], mask=[0]*4)
+        >>> x.mask
+        array([[False, False],
+               [False, False]])
+        >>> x.shrink_mask()
+        masked_array(
+          data=[[1, 2],
+                [3, 4]],
+          mask=False,
+          fill_value=999999)
+        >>> x.mask
+        False
+
+        """
+        self._mask = _shrink_mask(self._mask)
+        return self
+
+    @property
+    def baseclass(self):
+        """ Class of the underlying data (read-only). """
+        return self._baseclass
+
+    def _get_data(self):
+        """
+        Returns the underlying data, as a view of the masked array.
+
+        If the underlying data is a subclass of :class:`numpy.ndarray`, it is
+        returned as such.
+
+        >>> x = np.ma.array(np.matrix([[1, 2], [3, 4]]), mask=[[0, 1], [1, 0]])
+        >>> x.data
+        matrix([[1, 2],
+                [3, 4]])
+
+        The type of the data can be accessed through the :attr:`baseclass`
+        attribute.
+        """
+        return ndarray.view(self, self._baseclass)
+
+    _data = property(fget=_get_data)
+    data = property(fget=_get_data)
+
+    @property
+    def flat(self):
+        """ Return a flat iterator, or set a flattened version of self to value. """
+        return MaskedIterator(self)
+
+    @flat.setter
+    def flat(self, value):
+        y = self.ravel()
+        y[:] = value
+
+    @property
+    def fill_value(self):
+        """
+        The filling value of the masked array is a scalar. When setting, None
+        will set to a default based on the data type.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> for dt in [np.int32, np.int64, np.float64, np.complex128]:
+        ...     np.ma.array([0, 1], dtype=dt).get_fill_value()
+        ...
+        np.int64(999999)
+        np.int64(999999)
+        np.float64(1e+20)
+        np.complex128(1e+20+0j)
+
+        >>> x = np.ma.array([0, 1.], fill_value=-np.inf)
+        >>> x.fill_value
+        np.float64(-inf)
+        >>> x.fill_value = np.pi
+        >>> x.fill_value
+        np.float64(3.1415926535897931)
+
+        Reset to default:
+
+        >>> x.fill_value = None
+        >>> x.fill_value
+        np.float64(1e+20)
+
+        """
+        if self._fill_value is None:
+            self._fill_value = _check_fill_value(None, self.dtype)
+
+        # Temporary workaround to account for the fact that str and bytes
+        # scalars cannot be indexed with (), whereas all other numpy
+        # scalars can. See issues #7259 and #7267.
+        # The if-block can be removed after #7267 has been fixed.
+        if isinstance(self._fill_value, ndarray):
+            return self._fill_value[()]
+        return self._fill_value
+
+    @fill_value.setter
+    def fill_value(self, value=None):
+        target = _check_fill_value(value, self.dtype)
+        if not target.ndim == 0:
+            # 2019-11-12, 1.18.0
+            warnings.warn(
+                "Non-scalar arrays for the fill value are deprecated. Use "
+                "arrays with scalar values instead. The filled function "
+                "still supports any array as `fill_value`.",
+                DeprecationWarning, stacklevel=2)
+
+        _fill_value = self._fill_value
+        if _fill_value is None:
+            # Create the attribute if it was undefined
+            self._fill_value = target
+        else:
+            # Don't overwrite the attribute, just fill it (for propagation)
+            _fill_value[()] = target
+
+    # kept for compatibility
+    get_fill_value = fill_value.fget
+    set_fill_value = fill_value.fset
+
+    def filled(self, fill_value=None):
+        """
+        Return a copy of self, with masked values filled with a given value.
+        **However**, if there are no masked values to fill, self will be
+        returned instead as an ndarray.
+
+        Parameters
+        ----------
+        fill_value : array_like, optional
+            The value to use for invalid entries. Can be scalar or non-scalar.
+            If non-scalar, the resulting ndarray must be broadcastable over
+            input array. Default is None, in which case, the `fill_value`
+            attribute of the array is used instead.
+
+        Returns
+        -------
+        filled_array : ndarray
+            A copy of ``self`` with invalid entries replaced by *fill_value*
+            (be it the function argument or the attribute of ``self``), or
+            ``self`` itself as an ndarray if there are no invalid entries to
+            be replaced.
+
+        Notes
+        -----
+        The result is **not** a MaskedArray!
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([1,2,3,4,5], mask=[0,0,1,0,1], fill_value=-999)
+        >>> x.filled()
+        array([   1,    2, -999,    4, -999])
+        >>> x.filled(fill_value=1000)
+        array([   1,    2, 1000,    4, 1000])
+        >>> type(x.filled())
+        
+
+        Subclassing is preserved. This means that if, e.g., the data part of
+        the masked array is a recarray, `filled` returns a recarray:
+
+        >>> x = np.array([(-1, 2), (-3, 4)], dtype='i8,i8').view(np.recarray)
+        >>> m = np.ma.array(x, mask=[(True, False), (False, True)])
+        >>> m.filled()
+        rec.array([(999999,      2), (    -3, 999999)],
+                  dtype=[('f0', '>> import numpy as np
+        >>> x = np.ma.array(np.arange(5), mask=[0]*2 + [1]*3)
+        >>> x.compressed()
+        array([0, 1])
+        >>> type(x.compressed())
+        
+
+        N-D arrays are compressed to 1-D.
+
+        >>> arr = [[1, 2], [3, 4]]
+        >>> mask = [[1, 0], [0, 1]]
+        >>> x = np.ma.array(arr, mask=mask)
+        >>> x.compressed()
+        array([2, 3])
+
+        """
+        data = ndarray.ravel(self._data)
+        if self._mask is not nomask:
+            data = data.compress(np.logical_not(ndarray.ravel(self._mask)))
+        return data
+
+    def compress(self, condition, axis=None, out=None):
+        """
+        Return `a` where condition is ``True``.
+
+        If condition is a `~ma.MaskedArray`, missing values are considered
+        as ``False``.
+
+        Parameters
+        ----------
+        condition : var
+            Boolean 1-d array selecting which entries to return. If len(condition)
+            is less than the size of a along the axis, then output is truncated
+            to length of condition array.
+        axis : {None, int}, optional
+            Axis along which the operation must be performed.
+        out : {None, ndarray}, optional
+            Alternative output array in which to place the result. It must have
+            the same shape as the expected output but the type will be cast if
+            necessary.
+
+        Returns
+        -------
+        result : MaskedArray
+            A :class:`~ma.MaskedArray` object.
+
+        Notes
+        -----
+        Please note the difference with :meth:`compressed` !
+        The output of :meth:`compress` has a mask, the output of
+        :meth:`compressed` does not.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4)
+        >>> x
+        masked_array(
+          data=[[1, --, 3],
+                [--, 5, --],
+                [7, --, 9]],
+          mask=[[False,  True, False],
+                [ True, False,  True],
+                [False,  True, False]],
+          fill_value=999999)
+        >>> x.compress([1, 0, 1])
+        masked_array(data=[1, 3],
+                     mask=[False, False],
+               fill_value=999999)
+
+        >>> x.compress([1, 0, 1], axis=1)
+        masked_array(
+          data=[[1, 3],
+                [--, --],
+                [7, 9]],
+          mask=[[False, False],
+                [ True,  True],
+                [False, False]],
+          fill_value=999999)
+
+        """
+        # Get the basic components
+        (_data, _mask) = (self._data, self._mask)
+
+        # Force the condition to a regular ndarray and forget the missing
+        # values.
+        condition = np.asarray(condition)
+
+        _new = _data.compress(condition, axis=axis, out=out).view(type(self))
+        _new._update_from(self)
+        if _mask is not nomask:
+            _new._mask = _mask.compress(condition, axis=axis)
+        return _new
+
+    def _insert_masked_print(self):
+        """
+        Replace masked values with masked_print_option, casting all innermost
+        dtypes to object.
+        """
+        if masked_print_option.enabled():
+            mask = self._mask
+            if mask is nomask:
+                res = self._data
+            else:
+                # convert to object array to make filled work
+                data = self._data
+                # For big arrays, to avoid a costly conversion to the
+                # object dtype, extract the corners before the conversion.
+                print_width = (self._print_width if self.ndim > 1
+                               else self._print_width_1d)
+                for axis in range(self.ndim):
+                    if data.shape[axis] > print_width:
+                        ind = print_width // 2
+                        arr = np.split(data, (ind, -ind), axis=axis)
+                        data = np.concatenate((arr[0], arr[2]), axis=axis)
+                        arr = np.split(mask, (ind, -ind), axis=axis)
+                        mask = np.concatenate((arr[0], arr[2]), axis=axis)
+
+                rdtype = _replace_dtype_fields(self.dtype, "O")
+                res = data.astype(rdtype)
+                _recursive_printoption(res, mask, masked_print_option)
+        else:
+            res = self.filled(self.fill_value)
+        return res
+
+    def __str__(self):
+        return str(self._insert_masked_print())
+
+    def __repr__(self):
+        """
+        Literal string representation.
+
+        """
+        if self._baseclass is np.ndarray:
+            name = 'array'
+        else:
+            name = self._baseclass.__name__
+
+
+        # 2016-11-19: Demoted to legacy format
+        if np._core.arrayprint._get_legacy_print_mode() <= 113:
+            is_long = self.ndim > 1
+            parameters = dict(
+                name=name,
+                nlen=" " * len(name),
+                data=str(self),
+                mask=str(self._mask),
+                fill=str(self.fill_value),
+                dtype=str(self.dtype)
+            )
+            is_structured = bool(self.dtype.names)
+            key = '{}_{}'.format(
+                'long' if is_long else 'short',
+                'flx' if is_structured else 'std'
+            )
+            return _legacy_print_templates[key] % parameters
+
+        prefix = f"masked_{name}("
+
+        dtype_needed = (
+            not np._core.arrayprint.dtype_is_implied(self.dtype) or
+            np.all(self.mask) or
+            self.size == 0
+        )
+
+        # determine which keyword args need to be shown
+        keys = ['data', 'mask', 'fill_value']
+        if dtype_needed:
+            keys.append('dtype')
+
+        # array has only one row (non-column)
+        is_one_row = builtins.all(dim == 1 for dim in self.shape[:-1])
+
+        # choose what to indent each keyword with
+        min_indent = 2
+        if is_one_row:
+            # first key on the same line as the type, remaining keys
+            # aligned by equals
+            indents = {}
+            indents[keys[0]] = prefix
+            for k in keys[1:]:
+                n = builtins.max(min_indent, len(prefix + keys[0]) - len(k))
+                indents[k] = ' ' * n
+            prefix = ''  # absorbed into the first indent
+        else:
+            # each key on its own line, indented by two spaces
+            indents = {k: ' ' * min_indent for k in keys}
+            prefix = prefix + '\n'  # first key on the next line
+
+        # format the field values
+        reprs = {}
+        reprs['data'] = np.array2string(
+            self._insert_masked_print(),
+            separator=", ",
+            prefix=indents['data'] + 'data=',
+            suffix=',')
+        reprs['mask'] = np.array2string(
+            self._mask,
+            separator=", ",
+            prefix=indents['mask'] + 'mask=',
+            suffix=',')
+
+        if self._fill_value is None:
+            self.fill_value  # initialize fill_value
+
+        if (self._fill_value.dtype.kind in ("S", "U")
+                and self.dtype.kind == self._fill_value.dtype.kind):
+            # Allow strings: "N/A" has length 3 so would mismatch.
+            fill_repr = repr(self.fill_value.item())
+        elif self._fill_value.dtype == self.dtype and not self.dtype == object:
+            # Guess that it is OK to use the string as item repr.  To really
+            # fix this, it needs new logic (shared with structured scalars)
+            fill_repr = str(self.fill_value)
+        else:
+            fill_repr = repr(self.fill_value)
+
+        reprs['fill_value'] = fill_repr
+        if dtype_needed:
+            reprs['dtype'] = np._core.arrayprint.dtype_short_repr(self.dtype)
+
+        # join keys with values and indentations
+        result = ',\n'.join(
+            '{}{}={}'.format(indents[k], k, reprs[k])
+            for k in keys
+        )
+        return prefix + result + ')'
+
+    def _delegate_binop(self, other):
+        # This emulates the logic in
+        #     private/binop_override.h:forward_binop_should_defer
+        if isinstance(other, type(self)):
+            return False
+        array_ufunc = getattr(other, "__array_ufunc__", False)
+        if array_ufunc is False:
+            other_priority = getattr(other, "__array_priority__", -1000000)
+            return self.__array_priority__ < other_priority
+        else:
+            # If array_ufunc is not None, it will be called inside the ufunc;
+            # None explicitly tells us to not call the ufunc, i.e., defer.
+            return array_ufunc is None
+
+    def _comparison(self, other, compare):
+        """Compare self with other using operator.eq or operator.ne.
+
+        When either of the elements is masked, the result is masked as well,
+        but the underlying boolean data are still set, with self and other
+        considered equal if both are masked, and unequal otherwise.
+
+        For structured arrays, all fields are combined, with masked values
+        ignored. The result is masked if all fields were masked, with self
+        and other considered equal only if both were fully masked.
+        """
+        omask = getmask(other)
+        smask = self.mask
+        mask = mask_or(smask, omask, copy=True)
+
+        odata = getdata(other)
+        if mask.dtype.names is not None:
+            # only == and != are reasonably defined for structured dtypes,
+            # so give up early for all other comparisons:
+            if compare not in (operator.eq, operator.ne):
+                return NotImplemented
+            # For possibly masked structured arrays we need to be careful,
+            # since the standard structured array comparison will use all
+            # fields, masked or not. To avoid masked fields influencing the
+            # outcome, we set all masked fields in self to other, so they'll
+            # count as equal.  To prepare, we ensure we have the right shape.
+            broadcast_shape = np.broadcast(self, odata).shape
+            sbroadcast = np.broadcast_to(self, broadcast_shape, subok=True)
+            sbroadcast._mask = mask
+            sdata = sbroadcast.filled(odata)
+            # Now take care of the mask; the merged mask should have an item
+            # masked if all fields were masked (in one and/or other).
+            mask = (mask == np.ones((), mask.dtype))
+            # Ensure we can compare masks below if other was not masked.
+            if omask is np.False_:
+                omask = np.zeros((), smask.dtype)
+
+        else:
+            # For regular arrays, just use the data as they come.
+            sdata = self.data
+
+        check = compare(sdata, odata)
+
+        if isinstance(check, (np.bool, bool)):
+            return masked if mask else check
+
+        if mask is not nomask:
+            if compare in (operator.eq, operator.ne):
+                # Adjust elements that were masked, which should be treated
+                # as equal if masked in both, unequal if masked in one.
+                # Note that this works automatically for structured arrays too.
+                # Ignore this for operations other than `==` and `!=`
+                check = np.where(mask, compare(smask, omask), check)
+
+            if mask.shape != check.shape:
+                # Guarantee consistency of the shape, making a copy since the
+                # the mask may need to get written to later.
+                mask = np.broadcast_to(mask, check.shape).copy()
+
+        check = check.view(type(self))
+        check._update_from(self)
+        check._mask = mask
+
+        # Cast fill value to np.bool if needed. If it cannot be cast, the
+        # default boolean fill value is used.
+        if check._fill_value is not None:
+            try:
+                fill = _check_fill_value(check._fill_value, np.bool)
+            except (TypeError, ValueError):
+                fill = _check_fill_value(None, np.bool)
+            check._fill_value = fill
+
+        return check
+
+    def __eq__(self, other):
+        """Check whether other equals self elementwise.
+
+        When either of the elements is masked, the result is masked as well,
+        but the underlying boolean data are still set, with self and other
+        considered equal if both are masked, and unequal otherwise.
+
+        For structured arrays, all fields are combined, with masked values
+        ignored. The result is masked if all fields were masked, with self
+        and other considered equal only if both were fully masked.
+        """
+        return self._comparison(other, operator.eq)
+
+    def __ne__(self, other):
+        """Check whether other does not equal self elementwise.
+
+        When either of the elements is masked, the result is masked as well,
+        but the underlying boolean data are still set, with self and other
+        considered equal if both are masked, and unequal otherwise.
+
+        For structured arrays, all fields are combined, with masked values
+        ignored. The result is masked if all fields were masked, with self
+        and other considered equal only if both were fully masked.
+        """
+        return self._comparison(other, operator.ne)
+
+    # All other comparisons:
+    def __le__(self, other):
+        return self._comparison(other, operator.le)
+
+    def __lt__(self, other):
+        return self._comparison(other, operator.lt)
+
+    def __ge__(self, other):
+        return self._comparison(other, operator.ge)
+
+    def __gt__(self, other):
+        return self._comparison(other, operator.gt)
+
+    def __add__(self, other):
+        """
+        Add self to other, and return a new masked array.
+
+        """
+        if self._delegate_binop(other):
+            return NotImplemented
+        return add(self, other)
+
+    def __radd__(self, other):
+        """
+        Add other to self, and return a new masked array.
+
+        """
+        # In analogy with __rsub__ and __rdiv__, use original order:
+        # we get here from `other + self`.
+        return add(other, self)
+
+    def __sub__(self, other):
+        """
+        Subtract other from self, and return a new masked array.
+
+        """
+        if self._delegate_binop(other):
+            return NotImplemented
+        return subtract(self, other)
+
+    def __rsub__(self, other):
+        """
+        Subtract self from other, and return a new masked array.
+
+        """
+        return subtract(other, self)
+
+    def __mul__(self, other):
+        "Multiply self by other, and return a new masked array."
+        if self._delegate_binop(other):
+            return NotImplemented
+        return multiply(self, other)
+
+    def __rmul__(self, other):
+        """
+        Multiply other by self, and return a new masked array.
+
+        """
+        # In analogy with __rsub__ and __rdiv__, use original order:
+        # we get here from `other * self`.
+        return multiply(other, self)
+
+    def __div__(self, other):
+        """
+        Divide other into self, and return a new masked array.
+
+        """
+        if self._delegate_binop(other):
+            return NotImplemented
+        return divide(self, other)
+
+    def __truediv__(self, other):
+        """
+        Divide other into self, and return a new masked array.
+
+        """
+        if self._delegate_binop(other):
+            return NotImplemented
+        return true_divide(self, other)
+
+    def __rtruediv__(self, other):
+        """
+        Divide self into other, and return a new masked array.
+
+        """
+        return true_divide(other, self)
+
+    def __floordiv__(self, other):
+        """
+        Divide other into self, and return a new masked array.
+
+        """
+        if self._delegate_binop(other):
+            return NotImplemented
+        return floor_divide(self, other)
+
+    def __rfloordiv__(self, other):
+        """
+        Divide self into other, and return a new masked array.
+
+        """
+        return floor_divide(other, self)
+
+    def __pow__(self, other):
+        """
+        Raise self to the power other, masking the potential NaNs/Infs
+
+        """
+        if self._delegate_binop(other):
+            return NotImplemented
+        return power(self, other)
+
+    def __rpow__(self, other):
+        """
+        Raise other to the power self, masking the potential NaNs/Infs
+
+        """
+        return power(other, self)
+
+    def __iadd__(self, other):
+        """
+        Add other to self in-place.
+
+        """
+        m = getmask(other)
+        if self._mask is nomask:
+            if m is not nomask and m.any():
+                self._mask = make_mask_none(self.shape, self.dtype)
+                self._mask += m
+        else:
+            if m is not nomask:
+                self._mask += m
+        other_data = getdata(other)
+        other_data = np.where(self._mask, other_data.dtype.type(0), other_data)
+        self._data.__iadd__(other_data)
+        return self
+
+    def __isub__(self, other):
+        """
+        Subtract other from self in-place.
+
+        """
+        m = getmask(other)
+        if self._mask is nomask:
+            if m is not nomask and m.any():
+                self._mask = make_mask_none(self.shape, self.dtype)
+                self._mask += m
+        elif m is not nomask:
+            self._mask += m
+        other_data = getdata(other)
+        other_data = np.where(self._mask, other_data.dtype.type(0), other_data)
+        self._data.__isub__(other_data)
+        return self
+
+    def __imul__(self, other):
+        """
+        Multiply self by other in-place.
+
+        """
+        m = getmask(other)
+        if self._mask is nomask:
+            if m is not nomask and m.any():
+                self._mask = make_mask_none(self.shape, self.dtype)
+                self._mask += m
+        elif m is not nomask:
+            self._mask += m
+        other_data = getdata(other)
+        other_data = np.where(self._mask, other_data.dtype.type(1), other_data)
+        self._data.__imul__(other_data)
+        return self
+
+    def __idiv__(self, other):
+        """
+        Divide self by other in-place.
+
+        """
+        other_data = getdata(other)
+        dom_mask = _DomainSafeDivide().__call__(self._data, other_data)
+        other_mask = getmask(other)
+        new_mask = mask_or(other_mask, dom_mask)
+        # The following 4 lines control the domain filling
+        if dom_mask.any():
+            (_, fval) = ufunc_fills[np.divide]
+            other_data = np.where(
+                    dom_mask, other_data.dtype.type(fval), other_data)
+        self._mask |= new_mask
+        other_data = np.where(self._mask, other_data.dtype.type(1), other_data)
+        self._data.__idiv__(other_data)
+        return self
+
+    def __ifloordiv__(self, other):
+        """
+        Floor divide self by other in-place.
+
+        """
+        other_data = getdata(other)
+        dom_mask = _DomainSafeDivide().__call__(self._data, other_data)
+        other_mask = getmask(other)
+        new_mask = mask_or(other_mask, dom_mask)
+        # The following 3 lines control the domain filling
+        if dom_mask.any():
+            (_, fval) = ufunc_fills[np.floor_divide]
+            other_data = np.where(
+                    dom_mask, other_data.dtype.type(fval), other_data)
+        self._mask |= new_mask
+        other_data = np.where(self._mask, other_data.dtype.type(1), other_data)
+        self._data.__ifloordiv__(other_data)
+        return self
+
+    def __itruediv__(self, other):
+        """
+        True divide self by other in-place.
+
+        """
+        other_data = getdata(other)
+        dom_mask = _DomainSafeDivide().__call__(self._data, other_data)
+        other_mask = getmask(other)
+        new_mask = mask_or(other_mask, dom_mask)
+        # The following 3 lines control the domain filling
+        if dom_mask.any():
+            (_, fval) = ufunc_fills[np.true_divide]
+            other_data = np.where(
+                    dom_mask, other_data.dtype.type(fval), other_data)
+        self._mask |= new_mask
+        other_data = np.where(self._mask, other_data.dtype.type(1), other_data)
+        self._data.__itruediv__(other_data)
+        return self
+
+    def __ipow__(self, other):
+        """
+        Raise self to the power other, in place.
+
+        """
+        other_data = getdata(other)
+        other_data = np.where(self._mask, other_data.dtype.type(1), other_data)
+        other_mask = getmask(other)
+        with np.errstate(divide='ignore', invalid='ignore'):
+            self._data.__ipow__(other_data)
+        invalid = np.logical_not(np.isfinite(self._data))
+        if invalid.any():
+            if self._mask is not nomask:
+                self._mask |= invalid
+            else:
+                self._mask = invalid
+            np.copyto(self._data, self.fill_value, where=invalid)
+        new_mask = mask_or(other_mask, invalid)
+        self._mask = mask_or(self._mask, new_mask)
+        return self
+
+    def __float__(self):
+        """
+        Convert to float.
+
+        """
+        if self.size > 1:
+            raise TypeError("Only length-1 arrays can be converted "
+                            "to Python scalars")
+        elif self._mask:
+            warnings.warn("Warning: converting a masked element to nan.", stacklevel=2)
+            return np.nan
+        return float(self.item())
+
+    def __int__(self):
+        """
+        Convert to int.
+
+        """
+        if self.size > 1:
+            raise TypeError("Only length-1 arrays can be converted "
+                            "to Python scalars")
+        elif self._mask:
+            raise MaskError('Cannot convert masked element to a Python int.')
+        return int(self.item())
+
+    @property
+    def imag(self):
+        """
+        The imaginary part of the masked array.
+
+        This property is a view on the imaginary part of this `MaskedArray`.
+
+        See Also
+        --------
+        real
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([1+1.j, -2j, 3.45+1.6j], mask=[False, True, False])
+        >>> x.imag
+        masked_array(data=[1.0, --, 1.6],
+                     mask=[False,  True, False],
+               fill_value=1e+20)
+
+        """
+        result = self._data.imag.view(type(self))
+        result.__setmask__(self._mask)
+        return result
+
+    # kept for compatibility
+    get_imag = imag.fget
+
+    @property
+    def real(self):
+        """
+        The real part of the masked array.
+
+        This property is a view on the real part of this `MaskedArray`.
+
+        See Also
+        --------
+        imag
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([1+1.j, -2j, 3.45+1.6j], mask=[False, True, False])
+        >>> x.real
+        masked_array(data=[1.0, --, 3.45],
+                     mask=[False,  True, False],
+               fill_value=1e+20)
+
+        """
+        result = self._data.real.view(type(self))
+        result.__setmask__(self._mask)
+        return result
+
+    # kept for compatibility
+    get_real = real.fget
+
+    def count(self, axis=None, keepdims=np._NoValue):
+        """
+        Count the non-masked elements of the array along the given axis.
+
+        Parameters
+        ----------
+        axis : None or int or tuple of ints, optional
+            Axis or axes along which the count is performed.
+            The default, None, performs the count over all
+            the dimensions of the input array. `axis` may be negative, in
+            which case it counts from the last to the first axis.
+            If this is a tuple of ints, the count is performed on multiple
+            axes, instead of a single axis or all the axes as before.
+        keepdims : bool, optional
+            If this is set to True, the axes which are reduced are left
+            in the result as dimensions with size one. With this option,
+            the result will broadcast correctly against the array.
+
+        Returns
+        -------
+        result : ndarray or scalar
+            An array with the same shape as the input array, with the specified
+            axis removed. If the array is a 0-d array, or if `axis` is None, a
+            scalar is returned.
+
+        See Also
+        --------
+        ma.count_masked : Count masked elements in array or along a given axis.
+
+        Examples
+        --------
+        >>> import numpy.ma as ma
+        >>> a = ma.arange(6).reshape((2, 3))
+        >>> a[1, :] = ma.masked
+        >>> a
+        masked_array(
+          data=[[0, 1, 2],
+                [--, --, --]],
+          mask=[[False, False, False],
+                [ True,  True,  True]],
+          fill_value=999999)
+        >>> a.count()
+        3
+
+        When the `axis` keyword is specified an array of appropriate size is
+        returned.
+
+        >>> a.count(axis=0)
+        array([1, 1, 1])
+        >>> a.count(axis=1)
+        array([3, 0])
+
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        m = self._mask
+        # special case for matrices (we assume no other subclasses modify
+        # their dimensions)
+        if isinstance(self.data, np.matrix):
+            if m is nomask:
+                m = np.zeros(self.shape, dtype=np.bool)
+            m = m.view(type(self.data))
+
+        if m is nomask:
+            # compare to _count_reduce_items in _methods.py
+
+            if self.shape == ():
+                if axis not in (None, 0):
+                    raise np.exceptions.AxisError(axis=axis, ndim=self.ndim)
+                return 1
+            elif axis is None:
+                if kwargs.get('keepdims', False):
+                    return np.array(self.size, dtype=np.intp, ndmin=self.ndim)
+                return self.size
+
+            axes = normalize_axis_tuple(axis, self.ndim)
+            items = 1
+            for ax in axes:
+                items *= self.shape[ax]
+
+            if kwargs.get('keepdims', False):
+                out_dims = list(self.shape)
+                for a in axes:
+                    out_dims[a] = 1
+            else:
+                out_dims = [d for n, d in enumerate(self.shape)
+                            if n not in axes]
+            # make sure to return a 0-d array if axis is supplied
+            return np.full(out_dims, items, dtype=np.intp)
+
+        # take care of the masked singleton
+        if self is masked:
+            return 0
+
+        return (~m).sum(axis=axis, dtype=np.intp, **kwargs)
+
+    def ravel(self, order='C'):
+        """
+        Returns a 1D version of self, as a view.
+
+        Parameters
+        ----------
+        order : {'C', 'F', 'A', 'K'}, optional
+            The elements of `a` are read using this index order. 'C' means to
+            index the elements in C-like order, with the last axis index
+            changing fastest, back to the first axis index changing slowest.
+            'F' means to index the elements in Fortran-like index order, with
+            the first index changing fastest, and the last index changing
+            slowest. Note that the 'C' and 'F' options take no account of the
+            memory layout of the underlying array, and only refer to the order
+            of axis indexing.  'A' means to read the elements in Fortran-like
+            index order if `m` is Fortran *contiguous* in memory, C-like order
+            otherwise.  'K' means to read the elements in the order they occur
+            in memory, except for reversing the data when strides are negative.
+            By default, 'C' index order is used.
+            (Masked arrays currently use 'A' on the data when 'K' is passed.)
+
+        Returns
+        -------
+        MaskedArray
+            Output view is of shape ``(self.size,)`` (or
+            ``(np.ma.product(self.shape),)``).
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4)
+        >>> x
+        masked_array(
+          data=[[1, --, 3],
+                [--, 5, --],
+                [7, --, 9]],
+          mask=[[False,  True, False],
+                [ True, False,  True],
+                [False,  True, False]],
+          fill_value=999999)
+        >>> x.ravel()
+        masked_array(data=[1, --, 3, --, 5, --, 7, --, 9],
+                     mask=[False,  True, False,  True, False,  True, False,  True,
+                           False],
+               fill_value=999999)
+
+        """
+        # The order of _data and _mask could be different (it shouldn't be
+        # normally).  Passing order `K` or `A` would be incorrect.
+        # So we ignore the mask memory order.
+        # TODO: We don't actually support K, so use A instead.  We could
+        #       try to guess this correct by sorting strides or deprecate.
+        if order in "kKaA":
+            order = "F" if self._data.flags.fnc else "C"
+        r = ndarray.ravel(self._data, order=order).view(type(self))
+        r._update_from(self)
+        if self._mask is not nomask:
+            r._mask = ndarray.ravel(self._mask, order=order).reshape(r.shape)
+        else:
+            r._mask = nomask
+        return r
+
+
+    def reshape(self, *s, **kwargs):
+        """
+        Give a new shape to the array without changing its data.
+
+        Returns a masked array containing the same data, but with a new shape.
+        The result is a view on the original array; if this is not possible, a
+        ValueError is raised.
+
+        Parameters
+        ----------
+        shape : int or tuple of ints
+            The new shape should be compatible with the original shape. If an
+            integer is supplied, then the result will be a 1-D array of that
+            length.
+        order : {'C', 'F'}, optional
+            Determines whether the array data should be viewed as in C
+            (row-major) or FORTRAN (column-major) order.
+
+        Returns
+        -------
+        reshaped_array : array
+            A new view on the array.
+
+        See Also
+        --------
+        reshape : Equivalent function in the masked array module.
+        numpy.ndarray.reshape : Equivalent method on ndarray object.
+        numpy.reshape : Equivalent function in the NumPy module.
+
+        Notes
+        -----
+        The reshaping operation cannot guarantee that a copy will not be made,
+        to modify the shape in place, use ``a.shape = s``
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2],[3,4]], mask=[1,0,0,1])
+        >>> x
+        masked_array(
+          data=[[--, 2],
+                [3, --]],
+          mask=[[ True, False],
+                [False,  True]],
+          fill_value=999999)
+        >>> x = x.reshape((4,1))
+        >>> x
+        masked_array(
+          data=[[--],
+                [2],
+                [3],
+                [--]],
+          mask=[[ True],
+                [False],
+                [False],
+                [ True]],
+          fill_value=999999)
+
+        """
+        kwargs.update(order=kwargs.get('order', 'C'))
+        result = self._data.reshape(*s, **kwargs).view(type(self))
+        result._update_from(self)
+        mask = self._mask
+        if mask is not nomask:
+            result._mask = mask.reshape(*s, **kwargs)
+        return result
+
+    def resize(self, newshape, refcheck=True, order=False):
+        """
+        .. warning::
+
+            This method does nothing, except raise a ValueError exception. A
+            masked array does not own its data and therefore cannot safely be
+            resized in place. Use the `numpy.ma.resize` function instead.
+
+        This method is difficult to implement safely and may be deprecated in
+        future releases of NumPy.
+
+        """
+        # Note : the 'order' keyword looks broken, let's just drop it
+        errmsg = "A masked array does not own its data "\
+                 "and therefore cannot be resized.\n" \
+                 "Use the numpy.ma.resize function instead."
+        raise ValueError(errmsg)
+
+    def put(self, indices, values, mode='raise'):
+        """
+        Set storage-indexed locations to corresponding values.
+
+        Sets self._data.flat[n] = values[n] for each n in indices.
+        If `values` is shorter than `indices` then it will repeat.
+        If `values` has some masked values, the initial mask is updated
+        in consequence, else the corresponding values are unmasked.
+
+        Parameters
+        ----------
+        indices : 1-D array_like
+            Target indices, interpreted as integers.
+        values : array_like
+            Values to place in self._data copy at target indices.
+        mode : {'raise', 'wrap', 'clip'}, optional
+            Specifies how out-of-bounds indices will behave.
+            'raise' : raise an error.
+            'wrap' : wrap around.
+            'clip' : clip to the range.
+
+        Notes
+        -----
+        `values` can be a scalar or length 1 array.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4)
+        >>> x
+        masked_array(
+          data=[[1, --, 3],
+                [--, 5, --],
+                [7, --, 9]],
+          mask=[[False,  True, False],
+                [ True, False,  True],
+                [False,  True, False]],
+          fill_value=999999)
+        >>> x.put([0,4,8],[10,20,30])
+        >>> x
+        masked_array(
+          data=[[10, --, 3],
+                [--, 20, --],
+                [7, --, 30]],
+          mask=[[False,  True, False],
+                [ True, False,  True],
+                [False,  True, False]],
+          fill_value=999999)
+
+        >>> x.put(4,999)
+        >>> x
+        masked_array(
+          data=[[10, --, 3],
+                [--, 999, --],
+                [7, --, 30]],
+          mask=[[False,  True, False],
+                [ True, False,  True],
+                [False,  True, False]],
+          fill_value=999999)
+
+        """
+        # Hard mask: Get rid of the values/indices that fall on masked data
+        if self._hardmask and self._mask is not nomask:
+            mask = self._mask[indices]
+            indices = narray(indices, copy=None)
+            values = narray(values, copy=None, subok=True)
+            values.resize(indices.shape)
+            indices = indices[~mask]
+            values = values[~mask]
+
+        self._data.put(indices, values, mode=mode)
+
+        # short circuit if neither self nor values are masked
+        if self._mask is nomask and getmask(values) is nomask:
+            return
+
+        m = getmaskarray(self)
+
+        if getmask(values) is nomask:
+            m.put(indices, False, mode=mode)
+        else:
+            m.put(indices, values._mask, mode=mode)
+        m = make_mask(m, copy=False, shrink=True)
+        self._mask = m
+        return
+
+    def ids(self):
+        """
+        Return the addresses of the data and mask areas.
+
+        Parameters
+        ----------
+        None
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([1, 2, 3], mask=[0, 1, 1])
+        >>> x.ids()
+        (166670640, 166659832) # may vary
+
+        If the array has no mask, the address of `nomask` is returned. This address
+        is typically not close to the data in memory:
+
+        >>> x = np.ma.array([1, 2, 3])
+        >>> x.ids()
+        (166691080, 3083169284) # may vary
+
+        """
+        if self._mask is nomask:
+            return (self.ctypes.data, id(nomask))
+        return (self.ctypes.data, self._mask.ctypes.data)
+
+    def iscontiguous(self):
+        """
+        Return a boolean indicating whether the data is contiguous.
+
+        Parameters
+        ----------
+        None
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([1, 2, 3])
+        >>> x.iscontiguous()
+        True
+
+        `iscontiguous` returns one of the flags of the masked array:
+
+        >>> x.flags
+          C_CONTIGUOUS : True
+          F_CONTIGUOUS : True
+          OWNDATA : False
+          WRITEABLE : True
+          ALIGNED : True
+          WRITEBACKIFCOPY : False
+
+        """
+        return self.flags['CONTIGUOUS']
+
+    def all(self, axis=None, out=None, keepdims=np._NoValue):
+        """
+        Returns True if all elements evaluate to True.
+
+        The output array is masked where all the values along the given axis
+        are masked: if the output would have been a scalar and that all the
+        values are masked, then the output is `masked`.
+
+        Refer to `numpy.all` for full documentation.
+
+        See Also
+        --------
+        numpy.ndarray.all : corresponding function for ndarrays
+        numpy.all : equivalent function
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> np.ma.array([1,2,3]).all()
+        True
+        >>> a = np.ma.array([1,2,3], mask=True)
+        >>> (a.all() is np.ma.masked)
+        True
+
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        mask = _check_mask_axis(self._mask, axis, **kwargs)
+        if out is None:
+            d = self.filled(True).all(axis=axis, **kwargs).view(type(self))
+            if d.ndim:
+                d.__setmask__(mask)
+            elif mask:
+                return masked
+            return d
+        self.filled(True).all(axis=axis, out=out, **kwargs)
+        if isinstance(out, MaskedArray):
+            if out.ndim or mask:
+                out.__setmask__(mask)
+        return out
+
+    def any(self, axis=None, out=None, keepdims=np._NoValue):
+        """
+        Returns True if any of the elements of `a` evaluate to True.
+
+        Masked values are considered as False during computation.
+
+        Refer to `numpy.any` for full documentation.
+
+        See Also
+        --------
+        numpy.ndarray.any : corresponding function for ndarrays
+        numpy.any : equivalent function
+
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        mask = _check_mask_axis(self._mask, axis, **kwargs)
+        if out is None:
+            d = self.filled(False).any(axis=axis, **kwargs).view(type(self))
+            if d.ndim:
+                d.__setmask__(mask)
+            elif mask:
+                d = masked
+            return d
+        self.filled(False).any(axis=axis, out=out, **kwargs)
+        if isinstance(out, MaskedArray):
+            if out.ndim or mask:
+                out.__setmask__(mask)
+        return out
+
+    def nonzero(self):
+        """
+        Return the indices of unmasked elements that are not zero.
+
+        Returns a tuple of arrays, one for each dimension, containing the
+        indices of the non-zero elements in that dimension. The corresponding
+        non-zero values can be obtained with::
+
+            a[a.nonzero()]
+
+        To group the indices by element, rather than dimension, use
+        instead::
+
+            np.transpose(a.nonzero())
+
+        The result of this is always a 2d array, with a row for each non-zero
+        element.
+
+        Parameters
+        ----------
+        None
+
+        Returns
+        -------
+        tuple_of_arrays : tuple
+            Indices of elements that are non-zero.
+
+        See Also
+        --------
+        numpy.nonzero :
+            Function operating on ndarrays.
+        flatnonzero :
+            Return indices that are non-zero in the flattened version of the input
+            array.
+        numpy.ndarray.nonzero :
+            Equivalent ndarray method.
+        count_nonzero :
+            Counts the number of non-zero elements in the input array.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> import numpy.ma as ma
+        >>> x = ma.array(np.eye(3))
+        >>> x
+        masked_array(
+          data=[[1., 0., 0.],
+                [0., 1., 0.],
+                [0., 0., 1.]],
+          mask=False,
+          fill_value=1e+20)
+        >>> x.nonzero()
+        (array([0, 1, 2]), array([0, 1, 2]))
+
+        Masked elements are ignored.
+
+        >>> x[1, 1] = ma.masked
+        >>> x
+        masked_array(
+          data=[[1.0, 0.0, 0.0],
+                [0.0, --, 0.0],
+                [0.0, 0.0, 1.0]],
+          mask=[[False, False, False],
+                [False,  True, False],
+                [False, False, False]],
+          fill_value=1e+20)
+        >>> x.nonzero()
+        (array([0, 2]), array([0, 2]))
+
+        Indices can also be grouped by element.
+
+        >>> np.transpose(x.nonzero())
+        array([[0, 0],
+               [2, 2]])
+
+        A common use for ``nonzero`` is to find the indices of an array, where
+        a condition is True.  Given an array `a`, the condition `a` > 3 is a
+        boolean array and since False is interpreted as 0, ma.nonzero(a > 3)
+        yields the indices of the `a` where the condition is true.
+
+        >>> a = ma.array([[1,2,3],[4,5,6],[7,8,9]])
+        >>> a > 3
+        masked_array(
+          data=[[False, False, False],
+                [ True,  True,  True],
+                [ True,  True,  True]],
+          mask=False,
+          fill_value=True)
+        >>> ma.nonzero(a > 3)
+        (array([1, 1, 1, 2, 2, 2]), array([0, 1, 2, 0, 1, 2]))
+
+        The ``nonzero`` method of the condition array can also be called.
+
+        >>> (a > 3).nonzero()
+        (array([1, 1, 1, 2, 2, 2]), array([0, 1, 2, 0, 1, 2]))
+
+        """
+        return np.asarray(self.filled(0)).nonzero()
+
+    def trace(self, offset=0, axis1=0, axis2=1, dtype=None, out=None):
+        """
+        (this docstring should be overwritten)
+        """
+        #!!!: implement out + test!
+        m = self._mask
+        if m is nomask:
+            result = super().trace(offset=offset, axis1=axis1, axis2=axis2,
+                                   out=out)
+            return result.astype(dtype)
+        else:
+            D = self.diagonal(offset=offset, axis1=axis1, axis2=axis2)
+            return D.astype(dtype).filled(0).sum(axis=-1, out=out)
+    trace.__doc__ = ndarray.trace.__doc__
+
+    def dot(self, b, out=None, strict=False):
+        """
+        a.dot(b, out=None)
+
+        Masked dot product of two arrays. Note that `out` and `strict` are
+        located in different positions than in `ma.dot`. In order to
+        maintain compatibility with the functional version, it is
+        recommended that the optional arguments be treated as keyword only.
+        At some point that may be mandatory.
+
+        Parameters
+        ----------
+        b : masked_array_like
+            Inputs array.
+        out : masked_array, optional
+            Output argument. This must have the exact kind that would be
+            returned if it was not used. In particular, it must have the
+            right type, must be C-contiguous, and its dtype must be the
+            dtype that would be returned for `ma.dot(a,b)`. This is a
+            performance feature. Therefore, if these conditions are not
+            met, an exception is raised, instead of attempting to be
+            flexible.
+        strict : bool, optional
+            Whether masked data are propagated (True) or set to 0 (False)
+            for the computation. Default is False.  Propagating the mask
+            means that if a masked value appears in a row or column, the
+            whole row or column is considered masked.
+
+        See Also
+        --------
+        numpy.ma.dot : equivalent function
+
+        """
+        return dot(self, b, out=out, strict=strict)
+
+    def sum(self, axis=None, dtype=None, out=None, keepdims=np._NoValue):
+        """
+        Return the sum of the array elements over the given axis.
+
+        Masked elements are set to 0 internally.
+
+        Refer to `numpy.sum` for full documentation.
+
+        See Also
+        --------
+        numpy.ndarray.sum : corresponding function for ndarrays
+        numpy.sum : equivalent function
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4)
+        >>> x
+        masked_array(
+          data=[[1, --, 3],
+                [--, 5, --],
+                [7, --, 9]],
+          mask=[[False,  True, False],
+                [ True, False,  True],
+                [False,  True, False]],
+          fill_value=999999)
+        >>> x.sum()
+        25
+        >>> x.sum(axis=1)
+        masked_array(data=[4, 5, 16],
+                     mask=[False, False, False],
+               fill_value=999999)
+        >>> x.sum(axis=0)
+        masked_array(data=[8, 5, 12],
+                     mask=[False, False, False],
+               fill_value=999999)
+        >>> print(type(x.sum(axis=0, dtype=np.int64)[0]))
+        
+
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        _mask = self._mask
+        newmask = _check_mask_axis(_mask, axis, **kwargs)
+        # No explicit output
+        if out is None:
+            result = self.filled(0).sum(axis, dtype=dtype, **kwargs)
+            rndim = getattr(result, 'ndim', 0)
+            if rndim:
+                result = result.view(type(self))
+                result.__setmask__(newmask)
+            elif newmask:
+                result = masked
+            return result
+        # Explicit output
+        result = self.filled(0).sum(axis, dtype=dtype, out=out, **kwargs)
+        if isinstance(out, MaskedArray):
+            outmask = getmask(out)
+            if outmask is nomask:
+                outmask = out._mask = make_mask_none(out.shape)
+            outmask.flat = newmask
+        return out
+
+    def cumsum(self, axis=None, dtype=None, out=None):
+        """
+        Return the cumulative sum of the array elements over the given axis.
+
+        Masked values are set to 0 internally during the computation.
+        However, their position is saved, and the result will be masked at
+        the same locations.
+
+        Refer to `numpy.cumsum` for full documentation.
+
+        Notes
+        -----
+        The mask is lost if `out` is not a valid :class:`ma.MaskedArray` !
+
+        Arithmetic is modular when using integer types, and no error is
+        raised on overflow.
+
+        See Also
+        --------
+        numpy.ndarray.cumsum : corresponding function for ndarrays
+        numpy.cumsum : equivalent function
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> marr = np.ma.array(np.arange(10), mask=[0,0,0,1,1,1,0,0,0,0])
+        >>> marr.cumsum()
+        masked_array(data=[0, 1, 3, --, --, --, 9, 16, 24, 33],
+                     mask=[False, False, False,  True,  True,  True, False, False,
+                           False, False],
+               fill_value=999999)
+
+        """
+        result = self.filled(0).cumsum(axis=axis, dtype=dtype, out=out)
+        if out is not None:
+            if isinstance(out, MaskedArray):
+                out.__setmask__(self.mask)
+            return out
+        result = result.view(type(self))
+        result.__setmask__(self._mask)
+        return result
+
+    def prod(self, axis=None, dtype=None, out=None, keepdims=np._NoValue):
+        """
+        Return the product of the array elements over the given axis.
+
+        Masked elements are set to 1 internally for computation.
+
+        Refer to `numpy.prod` for full documentation.
+
+        Notes
+        -----
+        Arithmetic is modular when using integer types, and no error is raised
+        on overflow.
+
+        See Also
+        --------
+        numpy.ndarray.prod : corresponding function for ndarrays
+        numpy.prod : equivalent function
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        _mask = self._mask
+        newmask = _check_mask_axis(_mask, axis, **kwargs)
+        # No explicit output
+        if out is None:
+            result = self.filled(1).prod(axis, dtype=dtype, **kwargs)
+            rndim = getattr(result, 'ndim', 0)
+            if rndim:
+                result = result.view(type(self))
+                result.__setmask__(newmask)
+            elif newmask:
+                result = masked
+            return result
+        # Explicit output
+        result = self.filled(1).prod(axis, dtype=dtype, out=out, **kwargs)
+        if isinstance(out, MaskedArray):
+            outmask = getmask(out)
+            if outmask is nomask:
+                outmask = out._mask = make_mask_none(out.shape)
+            outmask.flat = newmask
+        return out
+    product = prod
+
+    def cumprod(self, axis=None, dtype=None, out=None):
+        """
+        Return the cumulative product of the array elements over the given axis.
+
+        Masked values are set to 1 internally during the computation.
+        However, their position is saved, and the result will be masked at
+        the same locations.
+
+        Refer to `numpy.cumprod` for full documentation.
+
+        Notes
+        -----
+        The mask is lost if `out` is not a valid MaskedArray !
+
+        Arithmetic is modular when using integer types, and no error is
+        raised on overflow.
+
+        See Also
+        --------
+        numpy.ndarray.cumprod : corresponding function for ndarrays
+        numpy.cumprod : equivalent function
+        """
+        result = self.filled(1).cumprod(axis=axis, dtype=dtype, out=out)
+        if out is not None:
+            if isinstance(out, MaskedArray):
+                out.__setmask__(self._mask)
+            return out
+        result = result.view(type(self))
+        result.__setmask__(self._mask)
+        return result
+
+    def mean(self, axis=None, dtype=None, out=None, keepdims=np._NoValue):
+        """
+        Returns the average of the array elements along given axis.
+
+        Masked entries are ignored, and result elements which are not
+        finite will be masked.
+
+        Refer to `numpy.mean` for full documentation.
+
+        See Also
+        --------
+        numpy.ndarray.mean : corresponding function for ndarrays
+        numpy.mean : Equivalent function
+        numpy.ma.average : Weighted average.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> a = np.ma.array([1,2,3], mask=[False, False, True])
+        >>> a
+        masked_array(data=[1, 2, --],
+                     mask=[False, False,  True],
+               fill_value=999999)
+        >>> a.mean()
+        1.5
+
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+        if self._mask is nomask:
+            result = super().mean(axis=axis, dtype=dtype, **kwargs)[()]
+        else:
+            is_float16_result = False
+            if dtype is None:
+                if issubclass(self.dtype.type, (ntypes.integer, ntypes.bool)):
+                    dtype = mu.dtype('f8')
+                elif issubclass(self.dtype.type, ntypes.float16):
+                    dtype = mu.dtype('f4')
+                    is_float16_result = True
+            dsum = self.sum(axis=axis, dtype=dtype, **kwargs)
+            cnt = self.count(axis=axis, **kwargs)
+            if cnt.shape == () and (cnt == 0):
+                result = masked
+            elif is_float16_result:
+                result = self.dtype.type(dsum * 1. / cnt)
+            else:
+                result = dsum * 1. / cnt
+        if out is not None:
+            out.flat = result
+            if isinstance(out, MaskedArray):
+                outmask = getmask(out)
+                if outmask is nomask:
+                    outmask = out._mask = make_mask_none(out.shape)
+                outmask.flat = getmask(result)
+            return out
+        return result
+
+    def anom(self, axis=None, dtype=None):
+        """
+        Compute the anomalies (deviations from the arithmetic mean)
+        along the given axis.
+
+        Returns an array of anomalies, with the same shape as the input and
+        where the arithmetic mean is computed along the given axis.
+
+        Parameters
+        ----------
+        axis : int, optional
+            Axis over which the anomalies are taken.
+            The default is to use the mean of the flattened array as reference.
+        dtype : dtype, optional
+            Type to use in computing the variance. For arrays of integer type
+             the default is float32; for arrays of float types it is the same as
+             the array type.
+
+        See Also
+        --------
+        mean : Compute the mean of the array.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> a = np.ma.array([1,2,3])
+        >>> a.anom()
+        masked_array(data=[-1.,  0.,  1.],
+                     mask=False,
+               fill_value=1e+20)
+
+        """
+        m = self.mean(axis, dtype)
+        if not axis:
+            return self - m
+        else:
+            return self - expand_dims(m, axis)
+
+    def var(self, axis=None, dtype=None, out=None, ddof=0,
+            keepdims=np._NoValue, mean=np._NoValue):
+        """
+        Returns the variance of the array elements along given axis.
+
+        Masked entries are ignored, and result elements which are not
+        finite will be masked.
+
+        Refer to `numpy.var` for full documentation.
+
+        See Also
+        --------
+        numpy.ndarray.var : corresponding function for ndarrays
+        numpy.var : Equivalent function
+        """
+        kwargs = {}
+
+        if keepdims is not np._NoValue:
+            kwargs['keepdims'] = keepdims
+
+        # Easy case: nomask, business as usual
+        if self._mask is nomask:
+
+            if mean is not np._NoValue:
+                kwargs['mean'] = mean
+
+            ret = super().var(axis=axis, dtype=dtype, out=out, ddof=ddof,
+                              **kwargs)[()]
+            if out is not None:
+                if isinstance(out, MaskedArray):
+                    out.__setmask__(nomask)
+                return out
+            return ret
+
+        # Some data are masked, yay!
+        cnt = self.count(axis=axis, **kwargs) - ddof
+
+        if mean is not np._NoValue:
+            danom = self - mean
+        else:
+            danom = self - self.mean(axis, dtype, keepdims=True)
+
+        if iscomplexobj(self):
+            danom = umath.absolute(danom) ** 2
+        else:
+            danom *= danom
+        dvar = divide(danom.sum(axis, **kwargs), cnt).view(type(self))
+        # Apply the mask if it's not a scalar
+        if dvar.ndim:
+            dvar._mask = mask_or(self._mask.all(axis, **kwargs), (cnt <= 0))
+            dvar._update_from(self)
+        elif getmask(dvar):
+            # Make sure that masked is returned when the scalar is masked.
+            dvar = masked
+            if out is not None:
+                if isinstance(out, MaskedArray):
+                    out.flat = 0
+                    out.__setmask__(True)
+                elif out.dtype.kind in 'biu':
+                    errmsg = "Masked data information would be lost in one or "\
+                             "more location."
+                    raise MaskError(errmsg)
+                else:
+                    out.flat = np.nan
+                return out
+        # In case with have an explicit output
+        if out is not None:
+            # Set the data
+            out.flat = dvar
+            # Set the mask if needed
+            if isinstance(out, MaskedArray):
+                out.__setmask__(dvar.mask)
+            return out
+        return dvar
+    var.__doc__ = np.var.__doc__
+
+    def std(self, axis=None, dtype=None, out=None, ddof=0,
+            keepdims=np._NoValue, mean=np._NoValue):
+        """
+        Returns the standard deviation of the array elements along given axis.
+
+        Masked entries are ignored.
+
+        Refer to `numpy.std` for full documentation.
+
+        See Also
+        --------
+        numpy.ndarray.std : corresponding function for ndarrays
+        numpy.std : Equivalent function
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        dvar = self.var(axis, dtype, out, ddof, **kwargs)
+        if dvar is not masked:
+            if out is not None:
+                np.power(out, 0.5, out=out, casting='unsafe')
+                return out
+            dvar = sqrt(dvar)
+        return dvar
+
+    def round(self, decimals=0, out=None):
+        """
+        Return each element rounded to the given number of decimals.
+
+        Refer to `numpy.around` for full documentation.
+
+        See Also
+        --------
+        numpy.ndarray.round : corresponding function for ndarrays
+        numpy.around : equivalent function
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> import numpy.ma as ma
+        >>> x = ma.array([1.35, 2.5, 1.5, 1.75, 2.25, 2.75],
+        ...              mask=[0, 0, 0, 1, 0, 0])
+        >>> ma.round(x)
+        masked_array(data=[1.0, 2.0, 2.0, --, 2.0, 3.0],
+                     mask=[False, False, False,  True, False, False],
+                fill_value=1e+20)
+
+        """
+        result = self._data.round(decimals=decimals, out=out).view(type(self))
+        if result.ndim > 0:
+            result._mask = self._mask
+            result._update_from(self)
+        elif self._mask:
+            # Return masked when the scalar is masked
+            result = masked
+        # No explicit output: we're done
+        if out is None:
+            return result
+        if isinstance(out, MaskedArray):
+            out.__setmask__(self._mask)
+        return out
+
+    def argsort(self, axis=np._NoValue, kind=None, order=None, endwith=True,
+                fill_value=None, *, stable=False):
+        """
+        Return an ndarray of indices that sort the array along the
+        specified axis.  Masked values are filled beforehand to
+        `fill_value`.
+
+        Parameters
+        ----------
+        axis : int, optional
+            Axis along which to sort. If None, the default, the flattened array
+            is used.
+        kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, optional
+            The sorting algorithm used.
+        order : list, optional
+            When `a` is an array with fields defined, this argument specifies
+            which fields to compare first, second, etc.  Not all fields need be
+            specified.
+        endwith : {True, False}, optional
+            Whether missing values (if any) should be treated as the largest values
+            (True) or the smallest values (False)
+            When the array contains unmasked values at the same extremes of the
+            datatype, the ordering of these values and the masked values is
+            undefined.
+        fill_value : scalar or None, optional
+            Value used internally for the masked values.
+            If ``fill_value`` is not None, it supersedes ``endwith``.
+        stable : bool, optional
+            Only for compatibility with ``np.argsort``. Ignored.
+
+        Returns
+        -------
+        index_array : ndarray, int
+            Array of indices that sort `a` along the specified axis.
+            In other words, ``a[index_array]`` yields a sorted `a`.
+
+        See Also
+        --------
+        ma.MaskedArray.sort : Describes sorting algorithms used.
+        lexsort : Indirect stable sort with multiple keys.
+        numpy.ndarray.sort : Inplace sort.
+
+        Notes
+        -----
+        See `sort` for notes on the different sorting algorithms.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> a = np.ma.array([3,2,1], mask=[False, False, True])
+        >>> a
+        masked_array(data=[3, 2, --],
+                     mask=[False, False,  True],
+               fill_value=999999)
+        >>> a.argsort()
+        array([1, 0, 2])
+
+        """
+        if stable:
+            raise ValueError(
+                "`stable` parameter is not supported for masked arrays."
+            )
+
+        # 2017-04-11, Numpy 1.13.0, gh-8701: warn on axis default
+        if axis is np._NoValue:
+            axis = _deprecate_argsort_axis(self)
+
+        if fill_value is None:
+            if endwith:
+                # nan > inf
+                if np.issubdtype(self.dtype, np.floating):
+                    fill_value = np.nan
+                else:
+                    fill_value = minimum_fill_value(self)
+            else:
+                fill_value = maximum_fill_value(self)
+
+        filled = self.filled(fill_value)
+        return filled.argsort(axis=axis, kind=kind, order=order)
+
+    def argmin(self, axis=None, fill_value=None, out=None, *,
+                keepdims=np._NoValue):
+        """
+        Return array of indices to the minimum values along the given axis.
+
+        Parameters
+        ----------
+        axis : {None, integer}
+            If None, the index is into the flattened array, otherwise along
+            the specified axis
+        fill_value : scalar or None, optional
+            Value used to fill in the masked values.  If None, the output of
+            minimum_fill_value(self._data) is used instead.
+        out : {None, array}, optional
+            Array into which the result can be placed. Its type is preserved
+            and it must be of the right shape to hold the output.
+
+        Returns
+        -------
+        ndarray or scalar
+            If multi-dimension input, returns a new ndarray of indices to the
+            minimum values along the given axis.  Otherwise, returns a scalar
+            of index to the minimum values along the given axis.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array(np.arange(4), mask=[1,1,0,0])
+        >>> x.shape = (2,2)
+        >>> x
+        masked_array(
+          data=[[--, --],
+                [2, 3]],
+          mask=[[ True,  True],
+                [False, False]],
+          fill_value=999999)
+        >>> x.argmin(axis=0, fill_value=-1)
+        array([0, 0])
+        >>> x.argmin(axis=0, fill_value=9)
+        array([1, 1])
+
+        """
+        if fill_value is None:
+            fill_value = minimum_fill_value(self)
+        d = self.filled(fill_value).view(ndarray)
+        keepdims = False if keepdims is np._NoValue else bool(keepdims)
+        return d.argmin(axis, out=out, keepdims=keepdims)
+
+    def argmax(self, axis=None, fill_value=None, out=None, *,
+                keepdims=np._NoValue):
+        """
+        Returns array of indices of the maximum values along the given axis.
+        Masked values are treated as if they had the value fill_value.
+
+        Parameters
+        ----------
+        axis : {None, integer}
+            If None, the index is into the flattened array, otherwise along
+            the specified axis
+        fill_value : scalar or None, optional
+            Value used to fill in the masked values.  If None, the output of
+            maximum_fill_value(self._data) is used instead.
+        out : {None, array}, optional
+            Array into which the result can be placed. Its type is preserved
+            and it must be of the right shape to hold the output.
+
+        Returns
+        -------
+        index_array : {integer_array}
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> a = np.arange(6).reshape(2,3)
+        >>> a.argmax()
+        5
+        >>> a.argmax(0)
+        array([1, 1, 1])
+        >>> a.argmax(1)
+        array([2, 2])
+
+        """
+        if fill_value is None:
+            fill_value = maximum_fill_value(self._data)
+        d = self.filled(fill_value).view(ndarray)
+        keepdims = False if keepdims is np._NoValue else bool(keepdims)
+        return d.argmax(axis, out=out, keepdims=keepdims)
+
+    def sort(self, axis=-1, kind=None, order=None, endwith=True,
+             fill_value=None, *, stable=False):
+        """
+        Sort the array, in-place
+
+        Parameters
+        ----------
+        a : array_like
+            Array to be sorted.
+        axis : int, optional
+            Axis along which to sort. If None, the array is flattened before
+            sorting. The default is -1, which sorts along the last axis.
+        kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, optional
+            The sorting algorithm used.
+        order : list, optional
+            When `a` is a structured array, this argument specifies which fields
+            to compare first, second, and so on.  This list does not need to
+            include all of the fields.
+        endwith : {True, False}, optional
+            Whether missing values (if any) should be treated as the largest values
+            (True) or the smallest values (False)
+            When the array contains unmasked values sorting at the same extremes of the
+            datatype, the ordering of these values and the masked values is
+            undefined.
+        fill_value : scalar or None, optional
+            Value used internally for the masked values.
+            If ``fill_value`` is not None, it supersedes ``endwith``.
+        stable : bool, optional
+            Only for compatibility with ``np.sort``. Ignored.
+
+        Returns
+        -------
+        sorted_array : ndarray
+            Array of the same type and shape as `a`.
+
+        See Also
+        --------
+        numpy.ndarray.sort : Method to sort an array in-place.
+        argsort : Indirect sort.
+        lexsort : Indirect stable sort on multiple keys.
+        searchsorted : Find elements in a sorted array.
+
+        Notes
+        -----
+        See ``sort`` for notes on the different sorting algorithms.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> a = np.ma.array([1, 2, 5, 4, 3],mask=[0, 1, 0, 1, 0])
+        >>> # Default
+        >>> a.sort()
+        >>> a
+        masked_array(data=[1, 3, 5, --, --],
+                     mask=[False, False, False,  True,  True],
+               fill_value=999999)
+
+        >>> a = np.ma.array([1, 2, 5, 4, 3],mask=[0, 1, 0, 1, 0])
+        >>> # Put missing values in the front
+        >>> a.sort(endwith=False)
+        >>> a
+        masked_array(data=[--, --, 1, 3, 5],
+                     mask=[ True,  True, False, False, False],
+               fill_value=999999)
+
+        >>> a = np.ma.array([1, 2, 5, 4, 3],mask=[0, 1, 0, 1, 0])
+        >>> # fill_value takes over endwith
+        >>> a.sort(endwith=False, fill_value=3)
+        >>> a
+        masked_array(data=[1, --, --, 3, 5],
+                     mask=[False,  True,  True, False, False],
+               fill_value=999999)
+
+        """
+        if stable:
+            raise ValueError(
+                "`stable` parameter is not supported for masked arrays."
+            )
+
+        if self._mask is nomask:
+            ndarray.sort(self, axis=axis, kind=kind, order=order)
+            return
+
+        if self is masked:
+            return
+
+        sidx = self.argsort(axis=axis, kind=kind, order=order,
+                            fill_value=fill_value, endwith=endwith)
+
+        self[...] = np.take_along_axis(self, sidx, axis=axis)
+
+    def min(self, axis=None, out=None, fill_value=None, keepdims=np._NoValue):
+        """
+        Return the minimum along a given axis.
+
+        Parameters
+        ----------
+        axis : None or int or tuple of ints, optional
+            Axis along which to operate.  By default, ``axis`` is None and the
+            flattened input is used.
+            If this is a tuple of ints, the minimum is selected over multiple
+            axes, instead of a single axis or all the axes as before.
+        out : array_like, optional
+            Alternative output array in which to place the result.  Must be of
+            the same shape and buffer length as the expected output.
+        fill_value : scalar or None, optional
+            Value used to fill in the masked values.
+            If None, use the output of `minimum_fill_value`.
+        keepdims : bool, optional
+            If this is set to True, the axes which are reduced are left
+            in the result as dimensions with size one. With this option,
+            the result will broadcast correctly against the array.
+
+        Returns
+        -------
+        amin : array_like
+            New array holding the result.
+            If ``out`` was specified, ``out`` is returned.
+
+        See Also
+        --------
+        ma.minimum_fill_value
+            Returns the minimum filling value for a given datatype.
+
+        Examples
+        --------
+        >>> import numpy.ma as ma
+        >>> x = [[1., -2., 3.], [0.2, -0.7, 0.1]]
+        >>> mask = [[1, 1, 0], [0, 0, 1]]
+        >>> masked_x = ma.masked_array(x, mask)
+        >>> masked_x
+        masked_array(
+          data=[[--, --, 3.0],
+                [0.2, -0.7, --]],
+          mask=[[ True,  True, False],
+                [False, False,  True]],
+          fill_value=1e+20)
+        >>> ma.min(masked_x)
+        -0.7
+        >>> ma.min(masked_x, axis=-1)
+        masked_array(data=[3.0, -0.7],
+                     mask=[False, False],
+                fill_value=1e+20)
+        >>> ma.min(masked_x, axis=0, keepdims=True)
+        masked_array(data=[[0.2, -0.7, 3.0]],
+                     mask=[[False, False, False]],
+                fill_value=1e+20)
+        >>> mask = [[1, 1, 1,], [1, 1, 1]]
+        >>> masked_x = ma.masked_array(x, mask)
+        >>> ma.min(masked_x, axis=0)
+        masked_array(data=[--, --, --],
+                     mask=[ True,  True,  True],
+                fill_value=1e+20,
+                    dtype=float64)
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        _mask = self._mask
+        newmask = _check_mask_axis(_mask, axis, **kwargs)
+        if fill_value is None:
+            fill_value = minimum_fill_value(self)
+        # No explicit output
+        if out is None:
+            result = self.filled(fill_value).min(
+                axis=axis, out=out, **kwargs).view(type(self))
+            if result.ndim:
+                # Set the mask
+                result.__setmask__(newmask)
+                # Get rid of Infs
+                if newmask.ndim:
+                    np.copyto(result, result.fill_value, where=newmask)
+            elif newmask:
+                result = masked
+            return result
+        # Explicit output
+        self.filled(fill_value).min(axis=axis, out=out, **kwargs)
+        if isinstance(out, MaskedArray):
+            outmask = getmask(out)
+            if outmask is nomask:
+                outmask = out._mask = make_mask_none(out.shape)
+            outmask.flat = newmask
+        else:
+            if out.dtype.kind in 'biu':
+                errmsg = "Masked data information would be lost in one or more"\
+                         " location."
+                raise MaskError(errmsg)
+            np.copyto(out, np.nan, where=newmask)
+        return out
+
+    def max(self, axis=None, out=None, fill_value=None, keepdims=np._NoValue):
+        """
+        Return the maximum along a given axis.
+
+        Parameters
+        ----------
+        axis : None or int or tuple of ints, optional
+            Axis along which to operate.  By default, ``axis`` is None and the
+            flattened input is used.
+            If this is a tuple of ints, the maximum is selected over multiple
+            axes, instead of a single axis or all the axes as before.
+        out : array_like, optional
+            Alternative output array in which to place the result.  Must
+            be of the same shape and buffer length as the expected output.
+        fill_value : scalar or None, optional
+            Value used to fill in the masked values.
+            If None, use the output of maximum_fill_value().
+        keepdims : bool, optional
+            If this is set to True, the axes which are reduced are left
+            in the result as dimensions with size one. With this option,
+            the result will broadcast correctly against the array.
+
+        Returns
+        -------
+        amax : array_like
+            New array holding the result.
+            If ``out`` was specified, ``out`` is returned.
+
+        See Also
+        --------
+        ma.maximum_fill_value
+            Returns the maximum filling value for a given datatype.
+
+        Examples
+        --------
+        >>> import numpy.ma as ma
+        >>> x = [[-1., 2.5], [4., -2.], [3., 0.]]
+        >>> mask = [[0, 0], [1, 0], [1, 0]]
+        >>> masked_x = ma.masked_array(x, mask)
+        >>> masked_x
+        masked_array(
+          data=[[-1.0, 2.5],
+                [--, -2.0],
+                [--, 0.0]],
+          mask=[[False, False],
+                [ True, False],
+                [ True, False]],
+          fill_value=1e+20)
+        >>> ma.max(masked_x)
+        2.5
+        >>> ma.max(masked_x, axis=0)
+        masked_array(data=[-1.0, 2.5],
+                     mask=[False, False],
+               fill_value=1e+20)
+        >>> ma.max(masked_x, axis=1, keepdims=True)
+        masked_array(
+          data=[[2.5],
+                [-2.0],
+                [0.0]],
+          mask=[[False],
+                [False],
+                [False]],
+          fill_value=1e+20)
+        >>> mask = [[1, 1], [1, 1], [1, 1]]
+        >>> masked_x = ma.masked_array(x, mask)
+        >>> ma.max(masked_x, axis=1)
+        masked_array(data=[--, --, --],
+                     mask=[ True,  True,  True],
+               fill_value=1e+20,
+                    dtype=float64)
+        """
+        kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+        _mask = self._mask
+        newmask = _check_mask_axis(_mask, axis, **kwargs)
+        if fill_value is None:
+            fill_value = maximum_fill_value(self)
+        # No explicit output
+        if out is None:
+            result = self.filled(fill_value).max(
+                axis=axis, out=out, **kwargs).view(type(self))
+            if result.ndim:
+                # Set the mask
+                result.__setmask__(newmask)
+                # Get rid of Infs
+                if newmask.ndim:
+                    np.copyto(result, result.fill_value, where=newmask)
+            elif newmask:
+                result = masked
+            return result
+        # Explicit output
+        self.filled(fill_value).max(axis=axis, out=out, **kwargs)
+        if isinstance(out, MaskedArray):
+            outmask = getmask(out)
+            if outmask is nomask:
+                outmask = out._mask = make_mask_none(out.shape)
+            outmask.flat = newmask
+        else:
+
+            if out.dtype.kind in 'biu':
+                errmsg = "Masked data information would be lost in one or more"\
+                         " location."
+                raise MaskError(errmsg)
+            np.copyto(out, np.nan, where=newmask)
+        return out
+
+    def ptp(self, axis=None, out=None, fill_value=None, keepdims=False):
+        """
+        Return (maximum - minimum) along the given dimension
+        (i.e. peak-to-peak value).
+
+        .. warning::
+            `ptp` preserves the data type of the array. This means the
+            return value for an input of signed integers with n bits
+            (e.g. `np.int8`, `np.int16`, etc) is also a signed integer
+            with n bits.  In that case, peak-to-peak values greater than
+            ``2**(n-1)-1`` will be returned as negative values. An example
+            with a work-around is shown below.
+
+        Parameters
+        ----------
+        axis : {None, int}, optional
+            Axis along which to find the peaks.  If None (default) the
+            flattened array is used.
+        out : {None, array_like}, optional
+            Alternative output array in which to place the result. It must
+            have the same shape and buffer length as the expected output
+            but the type will be cast if necessary.
+        fill_value : scalar or None, optional
+            Value used to fill in the masked values.
+        keepdims : bool, optional
+            If this is set to True, the axes which are reduced are left
+            in the result as dimensions with size one. With this option,
+            the result will broadcast correctly against the array.
+
+        Returns
+        -------
+        ptp : ndarray.
+            A new array holding the result, unless ``out`` was
+            specified, in which case a reference to ``out`` is returned.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.MaskedArray([[4, 9, 2, 10],
+        ...                        [6, 9, 7, 12]])
+
+        >>> x.ptp(axis=1)
+        masked_array(data=[8, 6],
+                     mask=False,
+               fill_value=999999)
+
+        >>> x.ptp(axis=0)
+        masked_array(data=[2, 0, 5, 2],
+                     mask=False,
+               fill_value=999999)
+
+        >>> x.ptp()
+        10
+
+        This example shows that a negative value can be returned when
+        the input is an array of signed integers.
+
+        >>> y = np.ma.MaskedArray([[1, 127],
+        ...                        [0, 127],
+        ...                        [-1, 127],
+        ...                        [-2, 127]], dtype=np.int8)
+        >>> y.ptp(axis=1)
+        masked_array(data=[ 126,  127, -128, -127],
+                     mask=False,
+               fill_value=np.int64(999999),
+                    dtype=int8)
+
+        A work-around is to use the `view()` method to view the result as
+        unsigned integers with the same bit width:
+
+        >>> y.ptp(axis=1).view(np.uint8)
+        masked_array(data=[126, 127, 128, 129],
+                     mask=False,
+               fill_value=np.uint64(999999),
+                    dtype=uint8)
+        """
+        if out is None:
+            result = self.max(axis=axis, fill_value=fill_value,
+                              keepdims=keepdims)
+            result -= self.min(axis=axis, fill_value=fill_value,
+                               keepdims=keepdims)
+            return result
+        out.flat = self.max(axis=axis, out=out, fill_value=fill_value,
+                            keepdims=keepdims)
+        min_value = self.min(axis=axis, fill_value=fill_value,
+                             keepdims=keepdims)
+        np.subtract(out, min_value, out=out, casting='unsafe')
+        return out
+
+    def partition(self, *args, **kwargs):
+        warnings.warn("Warning: 'partition' will ignore the 'mask' "
+                      f"of the {self.__class__.__name__}.",
+                      stacklevel=2)
+        return super().partition(*args, **kwargs)
+
+    def argpartition(self, *args, **kwargs):
+        warnings.warn("Warning: 'argpartition' will ignore the 'mask' "
+                      f"of the {self.__class__.__name__}.",
+                      stacklevel=2)
+        return super().argpartition(*args, **kwargs)
+
+    def take(self, indices, axis=None, out=None, mode='raise'):
+        """
+        Take elements from a masked array along an axis.
+
+        This function does the same thing as "fancy" indexing (indexing arrays
+        using arrays) for masked arrays. It can be easier to use if you need
+        elements along a given axis.
+
+        Parameters
+        ----------
+        a : masked_array
+            The source masked array.
+        indices : array_like
+            The indices of the values to extract. Also allow scalars for indices.
+        axis : int, optional
+            The axis over which to select values. By default, the flattened
+            input array is used.
+        out : MaskedArray, optional
+            If provided, the result will be placed in this array. It should
+            be of the appropriate shape and dtype. Note that `out` is always
+            buffered if `mode='raise'`; use other modes for better performance.
+        mode : {'raise', 'wrap', 'clip'}, optional
+            Specifies how out-of-bounds indices will behave.
+
+            * 'raise' -- raise an error (default)
+            * 'wrap' -- wrap around
+            * 'clip' -- clip to the range
+
+            'clip' mode means that all indices that are too large are replaced
+            by the index that addresses the last element along that axis. Note
+            that this disables indexing with negative numbers.
+
+        Returns
+        -------
+        out : MaskedArray
+            The returned array has the same type as `a`.
+
+        See Also
+        --------
+        numpy.take : Equivalent function for ndarrays.
+        compress : Take elements using a boolean mask.
+        take_along_axis : Take elements by matching the array and the index arrays.
+
+        Notes
+        -----
+        This function behaves similarly to `numpy.take`, but it handles masked
+        values. The mask is retained in the output array, and masked values
+        in the input array remain masked in the output.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> a = np.ma.array([4, 3, 5, 7, 6, 8], mask=[0, 0, 1, 0, 1, 0])
+        >>> indices = [0, 1, 4]
+        >>> np.ma.take(a, indices)
+        masked_array(data=[4, 3, --],
+                    mask=[False, False,  True],
+            fill_value=999999)
+
+        When `indices` is not one-dimensional, the output also has these dimensions:
+
+        >>> np.ma.take(a, [[0, 1], [2, 3]])
+        masked_array(data=[[4, 3],
+                        [--, 7]],
+                    mask=[[False, False],
+                        [ True, False]],
+            fill_value=999999)
+        """ 
+        (_data, _mask) = (self._data, self._mask)
+        cls = type(self)
+        # Make sure the indices are not masked
+        maskindices = getmask(indices)
+        if maskindices is not nomask:
+            indices = indices.filled(0)
+        # Get the data, promoting scalars to 0d arrays with [...] so that
+        # .view works correctly
+        if out is None:
+            out = _data.take(indices, axis=axis, mode=mode)[...].view(cls)
+        else:
+            np.take(_data, indices, axis=axis, mode=mode, out=out)
+        # Get the mask
+        if isinstance(out, MaskedArray):
+            if _mask is nomask:
+                outmask = maskindices
+            else:
+                outmask = _mask.take(indices, axis=axis, mode=mode)
+                outmask |= maskindices
+            out.__setmask__(outmask)
+        # demote 0d arrays back to scalars, for consistency with ndarray.take
+        return out[()]
+
+    # Array methods
+    copy = _arraymethod('copy')
+    diagonal = _arraymethod('diagonal')
+    flatten = _arraymethod('flatten')
+    repeat = _arraymethod('repeat')
+    squeeze = _arraymethod('squeeze')
+    swapaxes = _arraymethod('swapaxes')
+    T = property(fget=lambda self: self.transpose())
+    transpose = _arraymethod('transpose')
+
+    @property
+    def mT(self):
+        """
+        Return the matrix-transpose of the masked array.
+
+        The matrix transpose is the transpose of the last two dimensions, even
+        if the array is of higher dimension.
+
+        .. versionadded:: 2.0
+
+        Returns
+        -------
+        result: MaskedArray
+            The masked array with the last two dimensions transposed
+
+        Raises
+        ------
+        ValueError
+            If the array is of dimension less than 2.
+
+        See Also
+        --------
+        ndarray.mT:
+            Equivalent method for arrays
+        """
+
+        if self.ndim < 2:
+            raise ValueError("matrix transpose with ndim < 2 is undefined")
+
+        if self._mask is nomask:
+            return masked_array(data=self._data.mT)
+        else:
+            return masked_array(data=self.data.mT, mask=self.mask.mT)
+
+
+    def tolist(self, fill_value=None):
+        """
+        Return the data portion of the masked array as a hierarchical Python list.
+
+        Data items are converted to the nearest compatible Python type.
+        Masked values are converted to `fill_value`. If `fill_value` is None,
+        the corresponding entries in the output list will be ``None``.
+
+        Parameters
+        ----------
+        fill_value : scalar, optional
+            The value to use for invalid entries. Default is None.
+
+        Returns
+        -------
+        result : list
+            The Python list representation of the masked array.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2,3], [4,5,6], [7,8,9]], mask=[0] + [1,0]*4)
+        >>> x.tolist()
+        [[1, None, 3], [None, 5, None], [7, None, 9]]
+        >>> x.tolist(-999)
+        [[1, -999, 3], [-999, 5, -999], [7, -999, 9]]
+
+        """
+        _mask = self._mask
+        # No mask ? Just return .data.tolist ?
+        if _mask is nomask:
+            return self._data.tolist()
+        # Explicit fill_value: fill the array and get the list
+        if fill_value is not None:
+            return self.filled(fill_value).tolist()
+        # Structured array.
+        names = self.dtype.names
+        if names:
+            result = self._data.astype([(_, object) for _ in names])
+            for n in names:
+                result[n][_mask[n]] = None
+            return result.tolist()
+        # Standard arrays.
+        if _mask is nomask:
+            return [None]
+        # Set temps to save time when dealing w/ marrays.
+        inishape = self.shape
+        result = np.array(self._data.ravel(), dtype=object)
+        result[_mask.ravel()] = None
+        result.shape = inishape
+        return result.tolist()
+
+    def tostring(self, fill_value=None, order='C'):
+        r"""
+        A compatibility alias for `tobytes`, with exactly the same behavior.
+
+        Despite its name, it returns `bytes` not `str`\ s.
+
+        .. deprecated:: 1.19.0
+        """
+        # 2020-03-30, Numpy 1.19.0
+        warnings.warn(
+            "tostring() is deprecated. Use tobytes() instead.",
+            DeprecationWarning, stacklevel=2)
+
+        return self.tobytes(fill_value, order=order)
+
+    def tobytes(self, fill_value=None, order='C'):
+        """
+        Return the array data as a string containing the raw bytes in the array.
+
+        The array is filled with a fill value before the string conversion.
+
+        Parameters
+        ----------
+        fill_value : scalar, optional
+            Value used to fill in the masked values. Default is None, in which
+            case `MaskedArray.fill_value` is used.
+        order : {'C','F','A'}, optional
+            Order of the data item in the copy. Default is 'C'.
+
+            - 'C'   -- C order (row major).
+            - 'F'   -- Fortran order (column major).
+            - 'A'   -- Any, current order of array.
+            - None  -- Same as 'A'.
+
+        See Also
+        --------
+        numpy.ndarray.tobytes
+        tolist, tofile
+
+        Notes
+        -----
+        As for `ndarray.tobytes`, information about the shape, dtype, etc.,
+        but also about `fill_value`, will be lost.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array(np.array([[1, 2], [3, 4]]), mask=[[0, 1], [1, 0]])
+        >>> x.tobytes()
+        b'\\x01\\x00\\x00\\x00\\x00\\x00\\x00\\x00?B\\x0f\\x00\\x00\\x00\\x00\\x00?B\\x0f\\x00\\x00\\x00\\x00\\x00\\x04\\x00\\x00\\x00\\x00\\x00\\x00\\x00'
+
+        """
+        return self.filled(fill_value).tobytes(order=order)
+
+    def tofile(self, fid, sep="", format="%s"):
+        """
+        Save a masked array to a file in binary format.
+
+        .. warning::
+          This function is not implemented yet.
+
+        Raises
+        ------
+        NotImplementedError
+            When `tofile` is called.
+
+        """
+        raise NotImplementedError("MaskedArray.tofile() not implemented yet.")
+
+    def toflex(self):
+        """
+        Transforms a masked array into a flexible-type array.
+
+        The flexible type array that is returned will have two fields:
+
+        * the ``_data`` field stores the ``_data`` part of the array.
+        * the ``_mask`` field stores the ``_mask`` part of the array.
+
+        Parameters
+        ----------
+        None
+
+        Returns
+        -------
+        record : ndarray
+            A new flexible-type `ndarray` with two fields: the first element
+            containing a value, the second element containing the corresponding
+            mask boolean. The returned record shape matches self.shape.
+
+        Notes
+        -----
+        A side-effect of transforming a masked array into a flexible `ndarray` is
+        that meta information (``fill_value``, ...) will be lost.
+
+        Examples
+        --------
+        >>> import numpy as np
+        >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4)
+        >>> x
+        masked_array(
+          data=[[1, --, 3],
+                [--, 5, --],
+                [7, --, 9]],
+          mask=[[False,  True, False],
+                [ True, False,  True],
+                [False,  True, False]],
+          fill_value=999999)
+        >>> x.toflex()
+        array([[(1, False), (2,  True), (3, False)],
+               [(4,  True), (5, False), (6,  True)],
+               [(7, False), (8,  True), (9, False)]],
+              dtype=[('_data', 'i2", (2,))])
+            # x = A[0]; y = x["A"]; then y.mask["A"].size==2
+            # and we can not say masked/unmasked.
+            # The result is no longer mvoid!
+            # See also issue #6724.
+            return masked_array(
+                data=self._data[indx], mask=m[indx],
+                fill_value=self._fill_value[indx],
+                hard_mask=self._hardmask)
+        if m is not nomask and m[indx]:
+            return masked
+        return self._data[indx]
+
+    def __setitem__(self, indx, value):
+        self._data[indx] = value
+        if self._hardmask:
+            self._mask[indx] |= getattr(value, "_mask", False)
+        else:
+            self._mask[indx] = getattr(value, "_mask", False)
+
+    def __str__(self):
+        m = self._mask
+        if m is nomask:
+            return str(self._data)
+
+        rdtype = _replace_dtype_fields(self._data.dtype, "O")
+        data_arr = super()._data
+        res = data_arr.astype(rdtype)
+        _recursive_printoption(res, self._mask, masked_print_option)
+        return str(res)
+
+    __repr__ = __str__
+
+    def __iter__(self):
+        "Defines an iterator for mvoid"
+        (_data, _mask) = (self._data, self._mask)
+        if _mask is nomask:
+            yield from _data
+        else:
+            for (d, m) in zip(_data, _mask):
+                if m:
+                    yield masked
+                else:
+                    yield d
+
+    def __len__(self):
+        return self._data.__len__()
+
+    def filled(self, fill_value=None):
+        """
+        Return a copy with masked fields filled with a given value.
+
+        Parameters
+        ----------
+        fill_value : array_like, optional
+            The value to use for invalid entries. Can be scalar or
+            non-scalar. If latter is the case, the filled array should
+            be broadcastable over input array. Default is None, in
+            which case the `fill_value` attribute is used instead.
+
+        Returns
+        -------
+        filled_void
+            A `np.void` object
+
+        See Also
+        --------
+        MaskedArray.filled
+
+        """
+        return asarray(self).filled(fill_value)[()]
+
+    def tolist(self):
+        """
+    Transforms the mvoid object into a tuple.
+
+    Masked fields are replaced by None.
+
+    Returns
+    -------
+    returned_tuple
+        Tuple of fields
+        """
+        _mask = self._mask
+        if _mask is nomask:
+            return self._data.tolist()
+        result = []
+        for (d, m) in zip(self._data, self._mask):
+            if m:
+                result.append(None)
+            else:
+                # .item() makes sure we return a standard Python object
+                result.append(d.item())
+        return tuple(result)
+
+
+##############################################################################
+#                                Shortcuts                                   #
+##############################################################################
+
+
+def isMaskedArray(x):
+    """
+    Test whether input is an instance of MaskedArray.
+
+    This function returns True if `x` is an instance of MaskedArray
+    and returns False otherwise.  Any object is accepted as input.
+
+    Parameters
+    ----------
+    x : object
+        Object to test.
+
+    Returns
+    -------
+    result : bool
+        True if `x` is a MaskedArray.
+
+    See Also
+    --------
+    isMA : Alias to isMaskedArray.
+    isarray : Alias to isMaskedArray.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = np.eye(3, 3)
+    >>> a
+    array([[ 1.,  0.,  0.],
+           [ 0.,  1.,  0.],
+           [ 0.,  0.,  1.]])
+    >>> m = ma.masked_values(a, 0)
+    >>> m
+    masked_array(
+      data=[[1.0, --, --],
+            [--, 1.0, --],
+            [--, --, 1.0]],
+      mask=[[False,  True,  True],
+            [ True, False,  True],
+            [ True,  True, False]],
+      fill_value=0.0)
+    >>> ma.isMaskedArray(a)
+    False
+    >>> ma.isMaskedArray(m)
+    True
+    >>> ma.isMaskedArray([0, 1, 2])
+    False
+
+    """
+    return isinstance(x, MaskedArray)
+
+
+isarray = isMaskedArray
+isMA = isMaskedArray  # backward compatibility
+
+
+class MaskedConstant(MaskedArray):
+    # the lone np.ma.masked instance
+    __singleton = None
+
+    @classmethod
+    def __has_singleton(cls):
+        # second case ensures `cls.__singleton` is not just a view on the
+        # superclass singleton
+        return cls.__singleton is not None and type(cls.__singleton) is cls
+
+    def __new__(cls):
+        if not cls.__has_singleton():
+            # We define the masked singleton as a float for higher precedence.
+            # Note that it can be tricky sometimes w/ type comparison
+            data = np.array(0.)
+            mask = np.array(True)
+
+            # prevent any modifications
+            data.flags.writeable = False
+            mask.flags.writeable = False
+
+            # don't fall back on MaskedArray.__new__(MaskedConstant), since
+            # that might confuse it - this way, the construction is entirely
+            # within our control
+            cls.__singleton = MaskedArray(data, mask=mask).view(cls)
+
+        return cls.__singleton
+
+    def __array_finalize__(self, obj):
+        if not self.__has_singleton():
+            # this handles the `.view` in __new__, which we want to copy across
+            # properties normally
+            return super().__array_finalize__(obj)
+        elif self is self.__singleton:
+            # not clear how this can happen, play it safe
+            pass
+        else:
+            # everywhere else, we want to downcast to MaskedArray, to prevent a
+            # duplicate maskedconstant.
+            self.__class__ = MaskedArray
+            MaskedArray.__array_finalize__(self, obj)
+
+    def __array_wrap__(self, obj, context=None, return_scalar=False):
+        return self.view(MaskedArray).__array_wrap__(obj, context)
+
+    def __str__(self):
+        return str(masked_print_option._display)
+
+    def __repr__(self):
+        if self is MaskedConstant.__singleton:
+            return 'masked'
+        else:
+            # it's a subclass, or something is wrong, make it obvious
+            return object.__repr__(self)
+
+    def __format__(self, format_spec):
+        # Replace ndarray.__format__ with the default, which supports no format characters.
+        # Supporting format characters is unwise here, because we do not know what type
+        # the user was expecting - better to not guess.
+        try:
+            return object.__format__(self, format_spec)
+        except TypeError:
+            # 2020-03-23, NumPy 1.19.0
+            warnings.warn(
+                "Format strings passed to MaskedConstant are ignored, but in future may "
+                "error or produce different behavior",
+                FutureWarning, stacklevel=2
+            )
+            return object.__format__(self, "")
+
+    def __reduce__(self):
+        """Override of MaskedArray's __reduce__.
+        """
+        return (self.__class__, ())
+
+    # inplace operations have no effect. We have to override them to avoid
+    # trying to modify the readonly data and mask arrays
+    def __iop__(self, other):
+        return self
+    __iadd__ = \
+    __isub__ = \
+    __imul__ = \
+    __ifloordiv__ = \
+    __itruediv__ = \
+    __ipow__ = \
+        __iop__
+    del __iop__  # don't leave this around
+
+    def copy(self, *args, **kwargs):
+        """ Copy is a no-op on the maskedconstant, as it is a scalar """
+        # maskedconstant is a scalar, so copy doesn't need to copy. There's
+        # precedent for this with `np.bool` scalars.
+        return self
+
+    def __copy__(self):
+        return self
+
+    def __deepcopy__(self, memo):
+        return self
+
+    def __setattr__(self, attr, value):
+        if not self.__has_singleton():
+            # allow the singleton to be initialized
+            return super().__setattr__(attr, value)
+        elif self is self.__singleton:
+            raise AttributeError(
+                f"attributes of {self!r} are not writeable")
+        else:
+            # duplicate instance - we can end up here from __array_finalize__,
+            # where we set the __class__ attribute
+            return super().__setattr__(attr, value)
+
+
+masked = masked_singleton = MaskedConstant()
+masked_array = MaskedArray
+
+
+def array(data, dtype=None, copy=False, order=None,
+          mask=nomask, fill_value=None, keep_mask=True,
+          hard_mask=False, shrink=True, subok=True, ndmin=0):
+    """
+    Shortcut to MaskedArray.
+
+    The options are in a different order for convenience and backwards
+    compatibility.
+
+    """
+    return MaskedArray(data, mask=mask, dtype=dtype, copy=copy,
+                       subok=subok, keep_mask=keep_mask,
+                       hard_mask=hard_mask, fill_value=fill_value,
+                       ndmin=ndmin, shrink=shrink, order=order)
+array.__doc__ = masked_array.__doc__
+
+
+def is_masked(x):
+    """
+    Determine whether input has masked values.
+
+    Accepts any object as input, but always returns False unless the
+    input is a MaskedArray containing masked values.
+
+    Parameters
+    ----------
+    x : array_like
+        Array to check for masked values.
+
+    Returns
+    -------
+    result : bool
+        True if `x` is a MaskedArray with masked values, False otherwise.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = ma.masked_equal([0, 1, 0, 2, 3], 0)
+    >>> x
+    masked_array(data=[--, 1, --, 2, 3],
+                 mask=[ True, False,  True, False, False],
+           fill_value=0)
+    >>> ma.is_masked(x)
+    True
+    >>> x = ma.masked_equal([0, 1, 0, 2, 3], 42)
+    >>> x
+    masked_array(data=[0, 1, 0, 2, 3],
+                 mask=False,
+           fill_value=42)
+    >>> ma.is_masked(x)
+    False
+
+    Always returns False if `x` isn't a MaskedArray.
+
+    >>> x = [False, True, False]
+    >>> ma.is_masked(x)
+    False
+    >>> x = 'a string'
+    >>> ma.is_masked(x)
+    False
+
+    """
+    m = getmask(x)
+    if m is nomask:
+        return False
+    elif m.any():
+        return True
+    return False
+
+
+##############################################################################
+#                             Extrema functions                              #
+##############################################################################
+
+
+class _extrema_operation(_MaskedUFunc):
+    """
+    Generic class for maximum/minimum functions.
+
+    .. note::
+      This is the base class for `_maximum_operation` and
+      `_minimum_operation`.
+
+    """
+    def __init__(self, ufunc, compare, fill_value):
+        super().__init__(ufunc)
+        self.compare = compare
+        self.fill_value_func = fill_value
+
+    def __call__(self, a, b):
+        "Executes the call behavior."
+
+        return where(self.compare(a, b), a, b)
+
+    def reduce(self, target, axis=np._NoValue):
+        "Reduce target along the given axis."
+        target = narray(target, copy=None, subok=True)
+        m = getmask(target)
+
+        if axis is np._NoValue and target.ndim > 1:
+            # 2017-05-06, Numpy 1.13.0: warn on axis default
+            warnings.warn(
+                f"In the future the default for ma.{self.__name__}.reduce will be axis=0, "
+                f"not the current None, to match np.{self.__name__}.reduce. "
+                "Explicitly pass 0 or None to silence this warning.",
+                MaskedArrayFutureWarning, stacklevel=2)
+            axis = None
+
+        if axis is not np._NoValue:
+            kwargs = dict(axis=axis)
+        else:
+            kwargs = dict()
+
+        if m is nomask:
+            t = self.f.reduce(target, **kwargs)
+        else:
+            target = target.filled(
+                self.fill_value_func(target)).view(type(target))
+            t = self.f.reduce(target, **kwargs)
+            m = umath.logical_and.reduce(m, **kwargs)
+            if hasattr(t, '_mask'):
+                t._mask = m
+            elif m:
+                t = masked
+        return t
+
+    def outer(self, a, b):
+        "Return the function applied to the outer product of a and b."
+        ma = getmask(a)
+        mb = getmask(b)
+        if ma is nomask and mb is nomask:
+            m = nomask
+        else:
+            ma = getmaskarray(a)
+            mb = getmaskarray(b)
+            m = logical_or.outer(ma, mb)
+        result = self.f.outer(filled(a), filled(b))
+        if not isinstance(result, MaskedArray):
+            result = result.view(MaskedArray)
+        result._mask = m
+        return result
+
+def min(obj, axis=None, out=None, fill_value=None, keepdims=np._NoValue):
+    kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+    try:
+        return obj.min(axis=axis, fill_value=fill_value, out=out, **kwargs)
+    except (AttributeError, TypeError):
+        # If obj doesn't have a min method, or if the method doesn't accept a
+        # fill_value argument
+        return asanyarray(obj).min(axis=axis, fill_value=fill_value,
+                                   out=out, **kwargs)
+min.__doc__ = MaskedArray.min.__doc__
+
+def max(obj, axis=None, out=None, fill_value=None, keepdims=np._NoValue):
+    kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+
+    try:
+        return obj.max(axis=axis, fill_value=fill_value, out=out, **kwargs)
+    except (AttributeError, TypeError):
+        # If obj doesn't have a max method, or if the method doesn't accept a
+        # fill_value argument
+        return asanyarray(obj).max(axis=axis, fill_value=fill_value,
+                                   out=out, **kwargs)
+max.__doc__ = MaskedArray.max.__doc__
+
+
+def ptp(obj, axis=None, out=None, fill_value=None, keepdims=np._NoValue):
+    kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims}
+    try:
+        return obj.ptp(axis, out=out, fill_value=fill_value, **kwargs)
+    except (AttributeError, TypeError):
+        # If obj doesn't have a ptp method or if the method doesn't accept
+        # a fill_value argument
+        return asanyarray(obj).ptp(axis=axis, fill_value=fill_value,
+                                   out=out, **kwargs)
+ptp.__doc__ = MaskedArray.ptp.__doc__
+
+
+##############################################################################
+#           Definition of functions from the corresponding methods           #
+##############################################################################
+
+
+class _frommethod:
+    """
+    Define functions from existing MaskedArray methods.
+
+    Parameters
+    ----------
+    methodname : str
+        Name of the method to transform.
+
+    """
+
+    def __init__(self, methodname, reversed=False):
+        self.__name__ = methodname
+        self.__qualname__ = methodname
+        self.__doc__ = self.getdoc()
+        self.reversed = reversed
+
+    def getdoc(self):
+        "Return the doc of the function (from the doc of the method)."
+        meth = getattr(MaskedArray, self.__name__, None) or\
+            getattr(np, self.__name__, None)
+        signature = self.__name__ + get_object_signature(meth)
+        if meth is not None:
+            doc = """    %s\n%s""" % (
+                signature, getattr(meth, '__doc__', None))
+            return doc
+
+    def __call__(self, a, *args, **params):
+        if self.reversed:
+            args = list(args)
+            a, args[0] = args[0], a
+
+        marr = asanyarray(a)
+        method_name = self.__name__
+        method = getattr(type(marr), method_name, None)
+        if method is None:
+            # use the corresponding np function
+            method = getattr(np, method_name)
+
+        return method(marr, *args, **params)
+
+
+all = _frommethod('all')
+anomalies = anom = _frommethod('anom')
+any = _frommethod('any')
+compress = _frommethod('compress', reversed=True)
+cumprod = _frommethod('cumprod')
+cumsum = _frommethod('cumsum')
+copy = _frommethod('copy')
+diagonal = _frommethod('diagonal')
+harden_mask = _frommethod('harden_mask')
+ids = _frommethod('ids')
+maximum = _extrema_operation(umath.maximum, greater, maximum_fill_value)
+mean = _frommethod('mean')
+minimum = _extrema_operation(umath.minimum, less, minimum_fill_value)
+nonzero = _frommethod('nonzero')
+prod = _frommethod('prod')
+product = _frommethod('prod')
+ravel = _frommethod('ravel')
+repeat = _frommethod('repeat')
+shrink_mask = _frommethod('shrink_mask')
+soften_mask = _frommethod('soften_mask')
+std = _frommethod('std')
+sum = _frommethod('sum')
+swapaxes = _frommethod('swapaxes')
+#take = _frommethod('take')
+trace = _frommethod('trace')
+var = _frommethod('var')
+
+count = _frommethod('count')
+
+def take(a, indices, axis=None, out=None, mode='raise'):
+    """
+
+    """
+    a = masked_array(a)
+    return a.take(indices, axis=axis, out=out, mode=mode)
+
+
+def power(a, b, third=None):
+    """
+    Returns element-wise base array raised to power from second array.
+
+    This is the masked array version of `numpy.power`. For details see
+    `numpy.power`.
+
+    See Also
+    --------
+    numpy.power
+
+    Notes
+    -----
+    The *out* argument to `numpy.power` is not supported, `third` has to be
+    None.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = [11.2, -3.973, 0.801, -1.41]
+    >>> mask = [0, 0, 0, 1]
+    >>> masked_x = ma.masked_array(x, mask)
+    >>> masked_x
+    masked_array(data=[11.2, -3.973, 0.801, --],
+             mask=[False, False, False,  True],
+       fill_value=1e+20)
+    >>> ma.power(masked_x, 2)
+    masked_array(data=[125.43999999999998, 15.784728999999999,
+                   0.6416010000000001, --],
+             mask=[False, False, False,  True],
+       fill_value=1e+20)
+    >>> y = [-0.5, 2, 0, 17]
+    >>> masked_y = ma.masked_array(y, mask)
+    >>> masked_y
+    masked_array(data=[-0.5, 2.0, 0.0, --],
+             mask=[False, False, False,  True],
+       fill_value=1e+20)
+    >>> ma.power(masked_x, masked_y)
+    masked_array(data=[0.2988071523335984, 15.784728999999999, 1.0, --],
+             mask=[False, False, False,  True],
+       fill_value=1e+20)
+
+    """
+    if third is not None:
+        raise MaskError("3-argument power not supported.")
+    # Get the masks
+    ma = getmask(a)
+    mb = getmask(b)
+    m = mask_or(ma, mb)
+    # Get the rawdata
+    fa = getdata(a)
+    fb = getdata(b)
+    # Get the type of the result (so that we preserve subclasses)
+    if isinstance(a, MaskedArray):
+        basetype = type(a)
+    else:
+        basetype = MaskedArray
+    # Get the result and view it as a (subclass of) MaskedArray
+    with np.errstate(divide='ignore', invalid='ignore'):
+        result = np.where(m, fa, umath.power(fa, fb)).view(basetype)
+    result._update_from(a)
+    # Find where we're in trouble w/ NaNs and Infs
+    invalid = np.logical_not(np.isfinite(result.view(ndarray)))
+    # Add the initial mask
+    if m is not nomask:
+        if not result.ndim:
+            return masked
+        result._mask = np.logical_or(m, invalid)
+    # Fix the invalid parts
+    if invalid.any():
+        if not result.ndim:
+            return masked
+        elif result._mask is nomask:
+            result._mask = invalid
+        result._data[invalid] = result.fill_value
+    return result
+
+argmin = _frommethod('argmin')
+argmax = _frommethod('argmax')
+
+def argsort(a, axis=np._NoValue, kind=None, order=None, endwith=True,
+            fill_value=None, *, stable=None):
+    "Function version of the eponymous method."
+    a = np.asanyarray(a)
+
+    # 2017-04-11, Numpy 1.13.0, gh-8701: warn on axis default
+    if axis is np._NoValue:
+        axis = _deprecate_argsort_axis(a)
+
+    if isinstance(a, MaskedArray):
+        return a.argsort(axis=axis, kind=kind, order=order, endwith=endwith,
+                         fill_value=fill_value, stable=None)
+    else:
+        return a.argsort(axis=axis, kind=kind, order=order, stable=None)
+argsort.__doc__ = MaskedArray.argsort.__doc__
+
+def sort(a, axis=-1, kind=None, order=None, endwith=True, fill_value=None, *,
+         stable=None):
+    """
+    Return a sorted copy of the masked array.
+
+    Equivalent to creating a copy of the array
+    and applying the  MaskedArray ``sort()`` method.
+
+    Refer to ``MaskedArray.sort`` for the full documentation
+
+    See Also
+    --------
+    MaskedArray.sort : equivalent method
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = [11.2, -3.973, 0.801, -1.41]
+    >>> mask = [0, 0, 0, 1]
+    >>> masked_x = ma.masked_array(x, mask)
+    >>> masked_x
+    masked_array(data=[11.2, -3.973, 0.801, --],
+                 mask=[False, False, False,  True],
+           fill_value=1e+20)
+    >>> ma.sort(masked_x)
+    masked_array(data=[-3.973, 0.801, 11.2, --],
+                 mask=[False, False, False,  True],
+           fill_value=1e+20)
+    """
+    a = np.array(a, copy=True, subok=True)
+    if axis is None:
+        a = a.flatten()
+        axis = 0
+
+    if isinstance(a, MaskedArray):
+        a.sort(axis=axis, kind=kind, order=order, endwith=endwith,
+               fill_value=fill_value, stable=stable)
+    else:
+        a.sort(axis=axis, kind=kind, order=order, stable=stable)
+    return a
+
+
+def compressed(x):
+    """
+    Return all the non-masked data as a 1-D array.
+
+    This function is equivalent to calling the "compressed" method of a
+    `ma.MaskedArray`, see `ma.MaskedArray.compressed` for details.
+
+    See Also
+    --------
+    ma.MaskedArray.compressed : Equivalent method.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Create an array with negative values masked:
+
+    >>> import numpy as np
+    >>> x = np.array([[1, -1, 0], [2, -1, 3], [7, 4, -1]])
+    >>> masked_x = np.ma.masked_array(x, mask=x < 0)
+    >>> masked_x
+    masked_array(
+      data=[[1, --, 0],
+            [2, --, 3],
+            [7, 4, --]],
+      mask=[[False,  True, False],
+            [False,  True, False],
+            [False, False,  True]],
+      fill_value=999999)
+
+    Compress the masked array into a 1-D array of non-masked values:
+
+    >>> np.ma.compressed(masked_x)
+    array([1, 0, 2, 3, 7, 4])
+
+    """
+    return asanyarray(x).compressed()
+
+
+def concatenate(arrays, axis=0):
+    """
+    Concatenate a sequence of arrays along the given axis.
+
+    Parameters
+    ----------
+    arrays : sequence of array_like
+        The arrays must have the same shape, except in the dimension
+        corresponding to `axis` (the first, by default).
+    axis : int, optional
+        The axis along which the arrays will be joined. Default is 0.
+
+    Returns
+    -------
+    result : MaskedArray
+        The concatenated array with any masked entries preserved.
+
+    See Also
+    --------
+    numpy.concatenate : Equivalent function in the top-level NumPy module.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = ma.arange(3)
+    >>> a[1] = ma.masked
+    >>> b = ma.arange(2, 5)
+    >>> a
+    masked_array(data=[0, --, 2],
+                 mask=[False,  True, False],
+           fill_value=999999)
+    >>> b
+    masked_array(data=[2, 3, 4],
+                 mask=False,
+           fill_value=999999)
+    >>> ma.concatenate([a, b])
+    masked_array(data=[0, --, 2, 2, 3, 4],
+                 mask=[False,  True, False, False, False, False],
+           fill_value=999999)
+
+    """
+    d = np.concatenate([getdata(a) for a in arrays], axis)
+    rcls = get_masked_subclass(*arrays)
+    data = d.view(rcls)
+    # Check whether one of the arrays has a non-empty mask.
+    for x in arrays:
+        if getmask(x) is not nomask:
+            break
+    else:
+        return data
+    # OK, so we have to concatenate the masks
+    dm = np.concatenate([getmaskarray(a) for a in arrays], axis)
+    dm = dm.reshape(d.shape)
+
+    # If we decide to keep a '_shrinkmask' option, we want to check that
+    # all of them are True, and then check for dm.any()
+    data._mask = _shrink_mask(dm)
+    return data
+
+
+def diag(v, k=0):
+    """
+    Extract a diagonal or construct a diagonal array.
+
+    This function is the equivalent of `numpy.diag` that takes masked
+    values into account, see `numpy.diag` for details.
+
+    See Also
+    --------
+    numpy.diag : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+
+    Create an array with negative values masked:
+
+    >>> import numpy as np
+    >>> x = np.array([[11.2, -3.973, 18], [0.801, -1.41, 12], [7, 33, -12]])
+    >>> masked_x = np.ma.masked_array(x, mask=x < 0)
+    >>> masked_x
+    masked_array(
+      data=[[11.2, --, 18.0],
+            [0.801, --, 12.0],
+            [7.0, 33.0, --]],
+      mask=[[False,  True, False],
+            [False,  True, False],
+            [False, False,  True]],
+      fill_value=1e+20)
+
+    Isolate the main diagonal from the masked array:
+
+    >>> np.ma.diag(masked_x)
+    masked_array(data=[11.2, --, --],
+                 mask=[False,  True,  True],
+           fill_value=1e+20)
+
+    Isolate the first diagonal below the main diagonal:
+
+    >>> np.ma.diag(masked_x, -1)
+    masked_array(data=[0.801, 33.0],
+                 mask=[False, False],
+           fill_value=1e+20)
+
+    """
+    output = np.diag(v, k).view(MaskedArray)
+    if getmask(v) is not nomask:
+        output._mask = np.diag(v._mask, k)
+    return output
+
+
+def left_shift(a, n):
+    """
+    Shift the bits of an integer to the left.
+
+    This is the masked array version of `numpy.left_shift`, for details
+    see that function.
+
+    See Also
+    --------
+    numpy.left_shift
+
+    Examples
+    --------
+    Shift with a masked array:
+
+    >>> arr = np.ma.array([10, 20, 30], mask=[False, True, False])
+    >>> np.ma.left_shift(arr, 1)
+    masked_array(data=[20, --, 60],
+                 mask=[False,  True, False],
+           fill_value=999999)
+
+    Large shift:
+
+    >>> np.ma.left_shift(10, 10)
+    masked_array(data=10240,
+                 mask=False,
+           fill_value=999999)
+
+    Shift with a scalar and an array:
+
+    >>> scalar = 10
+    >>> arr = np.ma.array([1, 2, 3], mask=[False, True, False])
+    >>> np.ma.left_shift(scalar, arr)
+    masked_array(data=[20, --, 80],
+                 mask=[False,  True, False],
+           fill_value=999999)
+
+
+    """
+    m = getmask(a)
+    if m is nomask:
+        d = umath.left_shift(filled(a), n)
+        return masked_array(d)
+    else:
+        d = umath.left_shift(filled(a, 0), n)
+        return masked_array(d, mask=m)
+
+
+def right_shift(a, n):
+    """
+    Shift the bits of an integer to the right.
+
+    This is the masked array version of `numpy.right_shift`, for details
+    see that function.
+
+    See Also
+    --------
+    numpy.right_shift
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = [11, 3, 8, 1]
+    >>> mask = [0, 0, 0, 1]
+    >>> masked_x = ma.masked_array(x, mask)
+    >>> masked_x
+    masked_array(data=[11, 3, 8, --],
+                 mask=[False, False, False,  True],
+           fill_value=999999)
+    >>> ma.right_shift(masked_x,1)
+    masked_array(data=[5, 1, 4, --],
+                 mask=[False, False, False,  True],
+           fill_value=999999)
+
+    """
+    m = getmask(a)
+    if m is nomask:
+        d = umath.right_shift(filled(a), n)
+        return masked_array(d)
+    else:
+        d = umath.right_shift(filled(a, 0), n)
+        return masked_array(d, mask=m)
+
+
+def put(a, indices, values, mode='raise'):
+    """
+    Set storage-indexed locations to corresponding values.
+
+    This function is equivalent to `MaskedArray.put`, see that method
+    for details.
+
+    See Also
+    --------
+    MaskedArray.put
+
+    Examples
+    --------
+    Putting values in a masked array:
+
+    >>> a = np.ma.array([1, 2, 3, 4], mask=[False, True, False, False])
+    >>> np.ma.put(a, [1, 3], [10, 30])
+    >>> a
+    masked_array(data=[ 1, 10,  3, 30],
+                 mask=False,
+           fill_value=999999)
+
+    Using put with a 2D array:
+
+    >>> b = np.ma.array([[1, 2], [3, 4]], mask=[[False, True], [False, False]])
+    >>> np.ma.put(b, [[0, 1], [1, 0]], [[10, 20], [30, 40]])
+    >>> b
+    masked_array(
+      data=[[40, 30],
+            [ 3,  4]],
+      mask=False,
+      fill_value=999999)
+
+    """
+    # We can't use 'frommethod', the order of arguments is different
+    try:
+        return a.put(indices, values, mode=mode)
+    except AttributeError:
+        return np.asarray(a).put(indices, values, mode=mode)
+
+
+def putmask(a, mask, values):  # , mode='raise'):
+    """
+    Changes elements of an array based on conditional and input values.
+
+    This is the masked array version of `numpy.putmask`, for details see
+    `numpy.putmask`.
+
+    See Also
+    --------
+    numpy.putmask
+
+    Notes
+    -----
+    Using a masked array as `values` will **not** transform a `ndarray` into
+    a `MaskedArray`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = [[1, 2], [3, 4]]
+    >>> mask = [[1, 0], [0, 0]]
+    >>> x = np.ma.array(arr, mask=mask)
+    >>> np.ma.putmask(x, x < 4, 10*x)
+    >>> x
+    masked_array(
+      data=[[--, 20],
+            [30, 4]],
+      mask=[[ True, False],
+            [False, False]],
+      fill_value=999999)
+    >>> x.data
+    array([[10, 20],
+           [30,  4]])
+
+    """
+    # We can't use 'frommethod', the order of arguments is different
+    if not isinstance(a, MaskedArray):
+        a = a.view(MaskedArray)
+    (valdata, valmask) = (getdata(values), getmask(values))
+    if getmask(a) is nomask:
+        if valmask is not nomask:
+            a._sharedmask = True
+            a._mask = make_mask_none(a.shape, a.dtype)
+            np.copyto(a._mask, valmask, where=mask)
+    elif a._hardmask:
+        if valmask is not nomask:
+            m = a._mask.copy()
+            np.copyto(m, valmask, where=mask)
+            a.mask |= m
+    else:
+        if valmask is nomask:
+            valmask = getmaskarray(values)
+        np.copyto(a._mask, valmask, where=mask)
+    np.copyto(a._data, valdata, where=mask)
+    return
+
+
+def transpose(a, axes=None):
+    """
+    Permute the dimensions of an array.
+
+    This function is exactly equivalent to `numpy.transpose`.
+
+    See Also
+    --------
+    numpy.transpose : Equivalent function in top-level NumPy module.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = ma.arange(4).reshape((2,2))
+    >>> x[1, 1] = ma.masked
+    >>> x
+    masked_array(
+      data=[[0, 1],
+            [2, --]],
+      mask=[[False, False],
+            [False,  True]],
+      fill_value=999999)
+
+    >>> ma.transpose(x)
+    masked_array(
+      data=[[0, 2],
+            [1, --]],
+      mask=[[False, False],
+            [False,  True]],
+      fill_value=999999)
+    """
+    # We can't use 'frommethod', as 'transpose' doesn't take keywords
+    try:
+        return a.transpose(axes)
+    except AttributeError:
+        return np.asarray(a).transpose(axes).view(MaskedArray)
+
+
+def reshape(a, new_shape, order='C'):
+    """
+    Returns an array containing the same data with a new shape.
+
+    Refer to `MaskedArray.reshape` for full documentation.
+
+    See Also
+    --------
+    MaskedArray.reshape : equivalent function
+
+    Examples
+    --------
+    Reshaping a 1-D array:
+
+    >>> a = np.ma.array([1, 2, 3, 4])
+    >>> np.ma.reshape(a, (2, 2))
+    masked_array(
+      data=[[1, 2],
+            [3, 4]],
+      mask=False,
+      fill_value=999999)
+
+    Reshaping a 2-D array:
+
+    >>> b = np.ma.array([[1, 2], [3, 4]])
+    >>> np.ma.reshape(b, (1, 4))
+    masked_array(data=[[1, 2, 3, 4]],
+                 mask=False,
+           fill_value=999999)
+
+    Reshaping a 1-D array with a mask:
+
+    >>> c = np.ma.array([1, 2, 3, 4], mask=[False, True, False, False])
+    >>> np.ma.reshape(c, (2, 2))
+    masked_array(
+      data=[[1, --],
+            [3, 4]],
+      mask=[[False,  True],
+            [False, False]],
+      fill_value=999999)
+
+    """
+    # We can't use 'frommethod', it whine about some parameters. Dmmit.
+    try:
+        return a.reshape(new_shape, order=order)
+    except AttributeError:
+        _tmp = np.asarray(a).reshape(new_shape, order=order)
+        return _tmp.view(MaskedArray)
+
+
+def resize(x, new_shape):
+    """
+    Return a new masked array with the specified size and shape.
+
+    This is the masked equivalent of the `numpy.resize` function. The new
+    array is filled with repeated copies of `x` (in the order that the
+    data are stored in memory). If `x` is masked, the new array will be
+    masked, and the new mask will be a repetition of the old one.
+
+    See Also
+    --------
+    numpy.resize : Equivalent function in the top level NumPy module.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = ma.array([[1, 2] ,[3, 4]])
+    >>> a[0, 1] = ma.masked
+    >>> a
+    masked_array(
+      data=[[1, --],
+            [3, 4]],
+      mask=[[False,  True],
+            [False, False]],
+      fill_value=999999)
+    >>> np.resize(a, (3, 3))
+    masked_array(
+      data=[[1, 2, 3],
+            [4, 1, 2],
+            [3, 4, 1]],
+      mask=False,
+      fill_value=999999)
+    >>> ma.resize(a, (3, 3))
+    masked_array(
+      data=[[1, --, 3],
+            [4, 1, --],
+            [3, 4, 1]],
+      mask=[[False,  True, False],
+            [False, False,  True],
+            [False, False, False]],
+      fill_value=999999)
+
+    A MaskedArray is always returned, regardless of the input type.
+
+    >>> a = np.array([[1, 2] ,[3, 4]])
+    >>> ma.resize(a, (3, 3))
+    masked_array(
+      data=[[1, 2, 3],
+            [4, 1, 2],
+            [3, 4, 1]],
+      mask=False,
+      fill_value=999999)
+
+    """
+    # We can't use _frommethods here, as N.resize is notoriously whiny.
+    m = getmask(x)
+    if m is not nomask:
+        m = np.resize(m, new_shape)
+    result = np.resize(x, new_shape).view(get_masked_subclass(x))
+    if result.ndim:
+        result._mask = m
+    return result
+
+
+def ndim(obj):
+    """
+    maskedarray version of the numpy function.
+
+    """
+    return np.ndim(getdata(obj))
+
+ndim.__doc__ = np.ndim.__doc__
+
+
+def shape(obj):
+    "maskedarray version of the numpy function."
+    return np.shape(getdata(obj))
+shape.__doc__ = np.shape.__doc__
+
+
+def size(obj, axis=None):
+    "maskedarray version of the numpy function."
+    return np.size(getdata(obj), axis)
+size.__doc__ = np.size.__doc__
+
+
+def diff(a, /, n=1, axis=-1, prepend=np._NoValue, append=np._NoValue):
+    """
+    Calculate the n-th discrete difference along the given axis.
+    The first difference is given by ``out[i] = a[i+1] - a[i]`` along
+    the given axis, higher differences are calculated by using `diff`
+    recursively.
+    Preserves the input mask.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array
+    n : int, optional
+        The number of times values are differenced. If zero, the input
+        is returned as-is.
+    axis : int, optional
+        The axis along which the difference is taken, default is the
+        last axis.
+    prepend, append : array_like, optional
+        Values to prepend or append to `a` along axis prior to
+        performing the difference.  Scalar values are expanded to
+        arrays with length 1 in the direction of axis and the shape
+        of the input array in along all other axes.  Otherwise the
+        dimension and shape must match `a` except along axis.
+
+    Returns
+    -------
+    diff : MaskedArray
+        The n-th differences. The shape of the output is the same as `a`
+        except along `axis` where the dimension is smaller by `n`. The
+        type of the output is the same as the type of the difference
+        between any two elements of `a`. This is the same as the type of
+        `a` in most cases. A notable exception is `datetime64`, which
+        results in a `timedelta64` output array.
+
+    See Also
+    --------
+    numpy.diff : Equivalent function in the top-level NumPy module.
+
+    Notes
+    -----
+    Type is preserved for boolean arrays, so the result will contain
+    `False` when consecutive elements are the same and `True` when they
+    differ.
+
+    For unsigned integer arrays, the results will also be unsigned. This
+    should not be surprising, as the result is consistent with
+    calculating the difference directly:
+
+    >>> u8_arr = np.array([1, 0], dtype=np.uint8)
+    >>> np.ma.diff(u8_arr)
+    masked_array(data=[255],
+                 mask=False,
+           fill_value=np.uint64(999999),
+                dtype=uint8)
+    >>> u8_arr[1,...] - u8_arr[0,...]
+    np.uint8(255)
+
+    If this is not desirable, then the array should be cast to a larger
+    integer type first:
+
+    >>> i16_arr = u8_arr.astype(np.int16)
+    >>> np.ma.diff(i16_arr)
+    masked_array(data=[-1],
+                 mask=False,
+           fill_value=np.int64(999999),
+                dtype=int16)
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.array([1, 2, 3, 4, 7, 0, 2, 3])
+    >>> x = np.ma.masked_where(a < 2, a)
+    >>> np.ma.diff(x)
+    masked_array(data=[--, 1, 1, 3, --, --, 1],
+            mask=[ True, False, False, False,  True,  True, False],
+        fill_value=999999)
+
+    >>> np.ma.diff(x, n=2)
+    masked_array(data=[--, 0, 2, --, --, --],
+                mask=[ True, False, False,  True,  True,  True],
+        fill_value=999999)
+
+    >>> a = np.array([[1, 3, 1, 5, 10], [0, 1, 5, 6, 8]])
+    >>> x = np.ma.masked_equal(a, value=1)
+    >>> np.ma.diff(x)
+    masked_array(
+        data=[[--, --, --, 5],
+                [--, --, 1, 2]],
+        mask=[[ True,  True,  True, False],
+                [ True,  True, False, False]],
+        fill_value=1)
+
+    >>> np.ma.diff(x, axis=0)
+    masked_array(data=[[--, --, --, 1, -2]],
+            mask=[[ True,  True,  True, False, False]],
+        fill_value=1)
+
+    """
+    if n == 0:
+        return a
+    if n < 0:
+        raise ValueError("order must be non-negative but got " + repr(n))
+
+    a = np.ma.asanyarray(a)
+    if a.ndim == 0:
+        raise ValueError(
+            "diff requires input that is at least one dimensional"
+            )
+
+    combined = []
+    if prepend is not np._NoValue:
+        prepend = np.ma.asanyarray(prepend)
+        if prepend.ndim == 0:
+            shape = list(a.shape)
+            shape[axis] = 1
+            prepend = np.broadcast_to(prepend, tuple(shape))
+        combined.append(prepend)
+
+    combined.append(a)
+
+    if append is not np._NoValue:
+        append = np.ma.asanyarray(append)
+        if append.ndim == 0:
+            shape = list(a.shape)
+            shape[axis] = 1
+            append = np.broadcast_to(append, tuple(shape))
+        combined.append(append)
+
+    if len(combined) > 1:
+        a = np.ma.concatenate(combined, axis)
+
+    # GH 22465 np.diff without prepend/append preserves the mask
+    return np.diff(a, n, axis)
+
+
+##############################################################################
+#                            Extra functions                                 #
+##############################################################################
+
+
+def where(condition, x=_NoValue, y=_NoValue):
+    """
+    Return a masked array with elements from `x` or `y`, depending on condition.
+
+    .. note::
+        When only `condition` is provided, this function is identical to
+        `nonzero`. The rest of this documentation covers only the case where
+        all three arguments are provided.
+
+    Parameters
+    ----------
+    condition : array_like, bool
+        Where True, yield `x`, otherwise yield `y`.
+    x, y : array_like, optional
+        Values from which to choose. `x`, `y` and `condition` need to be
+        broadcastable to some shape.
+
+    Returns
+    -------
+    out : MaskedArray
+        An masked array with `masked` elements where the condition is masked,
+        elements from `x` where `condition` is True, and elements from `y`
+        elsewhere.
+
+    See Also
+    --------
+    numpy.where : Equivalent function in the top-level NumPy module.
+    nonzero : The function that is called when x and y are omitted
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array(np.arange(9.).reshape(3, 3), mask=[[0, 1, 0],
+    ...                                                    [1, 0, 1],
+    ...                                                    [0, 1, 0]])
+    >>> x
+    masked_array(
+      data=[[0.0, --, 2.0],
+            [--, 4.0, --],
+            [6.0, --, 8.0]],
+      mask=[[False,  True, False],
+            [ True, False,  True],
+            [False,  True, False]],
+      fill_value=1e+20)
+    >>> np.ma.where(x > 5, x, -3.1416)
+    masked_array(
+      data=[[-3.1416, --, -3.1416],
+            [--, -3.1416, --],
+            [6.0, --, 8.0]],
+      mask=[[False,  True, False],
+            [ True, False,  True],
+            [False,  True, False]],
+      fill_value=1e+20)
+
+    """
+
+    # handle the single-argument case
+    missing = (x is _NoValue, y is _NoValue).count(True)
+    if missing == 1:
+        raise ValueError("Must provide both 'x' and 'y' or neither.")
+    if missing == 2:
+        return nonzero(condition)
+
+    # we only care if the condition is true - false or masked pick y
+    cf = filled(condition, False)
+    xd = getdata(x)
+    yd = getdata(y)
+
+    # we need the full arrays here for correct final dimensions
+    cm = getmaskarray(condition)
+    xm = getmaskarray(x)
+    ym = getmaskarray(y)
+
+    # deal with the fact that masked.dtype == float64, but we don't actually
+    # want to treat it as that.
+    if x is masked and y is not masked:
+        xd = np.zeros((), dtype=yd.dtype)
+        xm = np.ones((),  dtype=ym.dtype)
+    elif y is masked and x is not masked:
+        yd = np.zeros((), dtype=xd.dtype)
+        ym = np.ones((),  dtype=xm.dtype)
+
+    data = np.where(cf, xd, yd)
+    mask = np.where(cf, xm, ym)
+    mask = np.where(cm, np.ones((), dtype=mask.dtype), mask)
+
+    # collapse the mask, for backwards compatibility
+    mask = _shrink_mask(mask)
+
+    return masked_array(data, mask=mask)
+
+
+def choose(indices, choices, out=None, mode='raise'):
+    """
+    Use an index array to construct a new array from a list of choices.
+
+    Given an array of integers and a list of n choice arrays, this method
+    will create a new array that merges each of the choice arrays.  Where a
+    value in `index` is i, the new array will have the value that choices[i]
+    contains in the same place.
+
+    Parameters
+    ----------
+    indices : ndarray of ints
+        This array must contain integers in ``[0, n-1]``, where n is the
+        number of choices.
+    choices : sequence of arrays
+        Choice arrays. The index array and all of the choices should be
+        broadcastable to the same shape.
+    out : array, optional
+        If provided, the result will be inserted into this array. It should
+        be of the appropriate shape and `dtype`.
+    mode : {'raise', 'wrap', 'clip'}, optional
+        Specifies how out-of-bounds indices will behave.
+
+        * 'raise' : raise an error
+        * 'wrap' : wrap around
+        * 'clip' : clip to the range
+
+    Returns
+    -------
+    merged_array : array
+
+    See Also
+    --------
+    choose : equivalent function
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> choice = np.array([[1,1,1], [2,2,2], [3,3,3]])
+    >>> a = np.array([2, 1, 0])
+    >>> np.ma.choose(a, choice)
+    masked_array(data=[3, 2, 1],
+                 mask=False,
+           fill_value=999999)
+
+    """
+    def fmask(x):
+        "Returns the filled array, or True if masked."
+        if x is masked:
+            return True
+        return filled(x)
+
+    def nmask(x):
+        "Returns the mask, True if ``masked``, False if ``nomask``."
+        if x is masked:
+            return True
+        return getmask(x)
+    # Get the indices.
+    c = filled(indices, 0)
+    # Get the masks.
+    masks = [nmask(x) for x in choices]
+    data = [fmask(x) for x in choices]
+    # Construct the mask
+    outputmask = np.choose(c, masks, mode=mode)
+    outputmask = make_mask(mask_or(outputmask, getmask(indices)),
+                           copy=False, shrink=True)
+    # Get the choices.
+    d = np.choose(c, data, mode=mode, out=out).view(MaskedArray)
+    if out is not None:
+        if isinstance(out, MaskedArray):
+            out.__setmask__(outputmask)
+        return out
+    d.__setmask__(outputmask)
+    return d
+
+
+def round_(a, decimals=0, out=None):
+    """
+    Return a copy of a, rounded to 'decimals' places.
+
+    When 'decimals' is negative, it specifies the number of positions
+    to the left of the decimal point.  The real and imaginary parts of
+    complex numbers are rounded separately. Nothing is done if the
+    array is not of float type and 'decimals' is greater than or equal
+    to 0.
+
+    Parameters
+    ----------
+    decimals : int
+        Number of decimals to round to. May be negative.
+    out : array_like
+        Existing array to use for output.
+        If not given, returns a default copy of a.
+
+    Notes
+    -----
+    If out is given and does not have a mask attribute, the mask of a
+    is lost!
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> x = [11.2, -3.973, 0.801, -1.41]
+    >>> mask = [0, 0, 0, 1]
+    >>> masked_x = ma.masked_array(x, mask)
+    >>> masked_x
+    masked_array(data=[11.2, -3.973, 0.801, --],
+                 mask=[False, False, False, True],
+        fill_value=1e+20)
+    >>> ma.round_(masked_x)
+    masked_array(data=[11.0, -4.0, 1.0, --],
+                 mask=[False, False, False, True],
+        fill_value=1e+20)
+    >>> ma.round(masked_x, decimals=1)
+    masked_array(data=[11.2, -4.0, 0.8, --],
+                 mask=[False, False, False, True],
+        fill_value=1e+20)
+    >>> ma.round_(masked_x, decimals=-1)
+    masked_array(data=[10.0, -0.0, 0.0, --],
+                 mask=[False, False, False, True],
+        fill_value=1e+20)
+    """
+    if out is None:
+        return np.round(a, decimals, out)
+    else:
+        np.round(getdata(a), decimals, out)
+        if hasattr(out, '_mask'):
+            out._mask = getmask(a)
+        return out
+round = round_
+
+
+def _mask_propagate(a, axis):
+    """
+    Mask whole 1-d vectors of an array that contain masked values.
+    """
+    a = array(a, subok=False)
+    m = getmask(a)
+    if m is nomask or not m.any() or axis is None:
+        return a
+    a._mask = a._mask.copy()
+    axes = normalize_axis_tuple(axis, a.ndim)
+    for ax in axes:
+        a._mask |= m.any(axis=ax, keepdims=True)
+    return a
+
+
+# Include masked dot here to avoid import problems in getting it from
+# extras.py. Note that it is not included in __all__, but rather exported
+# from extras in order to avoid backward compatibility problems.
+def dot(a, b, strict=False, out=None):
+    """
+    Return the dot product of two arrays.
+
+    This function is the equivalent of `numpy.dot` that takes masked values
+    into account. Note that `strict` and `out` are in different position
+    than in the method version. In order to maintain compatibility with the
+    corresponding method, it is recommended that the optional arguments be
+    treated as keyword only.  At some point that may be mandatory.
+
+    Parameters
+    ----------
+    a, b : masked_array_like
+        Inputs arrays.
+    strict : bool, optional
+        Whether masked data are propagated (True) or set to 0 (False) for
+        the computation. Default is False.  Propagating the mask means that
+        if a masked value appears in a row or column, the whole row or
+        column is considered masked.
+    out : masked_array, optional
+        Output argument. This must have the exact kind that would be returned
+        if it was not used. In particular, it must have the right type, must be
+        C-contiguous, and its dtype must be the dtype that would be returned
+        for `dot(a,b)`. This is a performance feature. Therefore, if these
+        conditions are not met, an exception is raised, instead of attempting
+        to be flexible.
+
+    See Also
+    --------
+    numpy.dot : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.array([[1, 2, 3], [4, 5, 6]], mask=[[1, 0, 0], [0, 0, 0]])
+    >>> b = np.ma.array([[1, 2], [3, 4], [5, 6]], mask=[[1, 0], [0, 0], [0, 0]])
+    >>> np.ma.dot(a, b)
+    masked_array(
+      data=[[21, 26],
+            [45, 64]],
+      mask=[[False, False],
+            [False, False]],
+      fill_value=999999)
+    >>> np.ma.dot(a, b, strict=True)
+    masked_array(
+      data=[[--, --],
+            [--, 64]],
+      mask=[[ True,  True],
+            [ True, False]],
+      fill_value=999999)
+
+    """
+    if strict is True:
+        if np.ndim(a) == 0 or np.ndim(b) == 0:
+            pass
+        elif b.ndim == 1:
+            a = _mask_propagate(a, a.ndim - 1)
+            b = _mask_propagate(b, b.ndim - 1)
+        else:
+            a = _mask_propagate(a, a.ndim - 1)
+            b = _mask_propagate(b, b.ndim - 2)
+    am = ~getmaskarray(a)
+    bm = ~getmaskarray(b)
+
+    if out is None:
+        d = np.dot(filled(a, 0), filled(b, 0))
+        m = ~np.dot(am, bm)
+        if np.ndim(d) == 0:
+            d = np.asarray(d)
+        r = d.view(get_masked_subclass(a, b))
+        r.__setmask__(m)
+        return r
+    else:
+        d = np.dot(filled(a, 0), filled(b, 0), out._data)
+        if out.mask.shape != d.shape:
+            out._mask = np.empty(d.shape, MaskType)
+        np.dot(am, bm, out._mask)
+        np.logical_not(out._mask, out._mask)
+        return out
+
+
+def inner(a, b):
+    """
+    Returns the inner product of a and b for arrays of floating point types.
+
+    Like the generic NumPy equivalent the product sum is over the last dimension
+    of a and b. The first argument is not conjugated.
+
+    """
+    fa = filled(a, 0)
+    fb = filled(b, 0)
+    if fa.ndim == 0:
+        fa.shape = (1,)
+    if fb.ndim == 0:
+        fb.shape = (1,)
+    return np.inner(fa, fb).view(MaskedArray)
+inner.__doc__ = doc_note(np.inner.__doc__,
+                         "Masked values are replaced by 0.")
+innerproduct = inner
+
+
+def outer(a, b):
+    "maskedarray version of the numpy function."
+    fa = filled(a, 0).ravel()
+    fb = filled(b, 0).ravel()
+    d = np.outer(fa, fb)
+    ma = getmask(a)
+    mb = getmask(b)
+    if ma is nomask and mb is nomask:
+        return masked_array(d)
+    ma = getmaskarray(a)
+    mb = getmaskarray(b)
+    m = make_mask(1 - np.outer(1 - ma, 1 - mb), copy=False)
+    return masked_array(d, mask=m)
+outer.__doc__ = doc_note(np.outer.__doc__,
+                         "Masked values are replaced by 0.")
+outerproduct = outer
+
+
+def _convolve_or_correlate(f, a, v, mode, propagate_mask):
+    """
+    Helper function for ma.correlate and ma.convolve
+    """
+    if propagate_mask:
+        # results which are contributed to by either item in any pair being invalid
+        mask = (
+            f(getmaskarray(a), np.ones(np.shape(v), dtype=bool), mode=mode)
+          | f(np.ones(np.shape(a), dtype=bool), getmaskarray(v), mode=mode)
+        )
+        data = f(getdata(a), getdata(v), mode=mode)
+    else:
+        # results which are not contributed to by any pair of valid elements
+        mask = ~f(~getmaskarray(a), ~getmaskarray(v), mode=mode)
+        data = f(filled(a, 0), filled(v, 0), mode=mode)
+
+    return masked_array(data, mask=mask)
+
+
+def correlate(a, v, mode='valid', propagate_mask=True):
+    """
+    Cross-correlation of two 1-dimensional sequences.
+
+    Parameters
+    ----------
+    a, v : array_like
+        Input sequences.
+    mode : {'valid', 'same', 'full'}, optional
+        Refer to the `np.convolve` docstring.  Note that the default
+        is 'valid', unlike `convolve`, which uses 'full'.
+    propagate_mask : bool
+        If True, then a result element is masked if any masked element contributes towards it.
+        If False, then a result element is only masked if no non-masked element
+        contribute towards it
+
+    Returns
+    -------
+    out : MaskedArray
+        Discrete cross-correlation of `a` and `v`.
+
+    See Also
+    --------
+    numpy.correlate : Equivalent function in the top-level NumPy module.
+
+    Examples
+    --------
+    Basic correlation:
+
+    >>> a = np.ma.array([1, 2, 3])
+    >>> v = np.ma.array([0, 1, 0])
+    >>> np.ma.correlate(a, v, mode='valid')
+    masked_array(data=[2],
+                 mask=[False],
+           fill_value=999999)
+
+    Correlation with masked elements:
+
+    >>> a = np.ma.array([1, 2, 3], mask=[False, True, False])
+    >>> v = np.ma.array([0, 1, 0])
+    >>> np.ma.correlate(a, v, mode='valid', propagate_mask=True)
+    masked_array(data=[--],
+                 mask=[ True],
+           fill_value=999999,
+                dtype=int64)
+
+    Correlation with different modes and mixed array types:
+
+    >>> a = np.ma.array([1, 2, 3])
+    >>> v = np.ma.array([0, 1, 0])
+    >>> np.ma.correlate(a, v, mode='full')
+    masked_array(data=[0, 1, 2, 3, 0],
+                 mask=[False, False, False, False, False],
+           fill_value=999999)
+
+    """
+    return _convolve_or_correlate(np.correlate, a, v, mode, propagate_mask)
+
+
+def convolve(a, v, mode='full', propagate_mask=True):
+    """
+    Returns the discrete, linear convolution of two one-dimensional sequences.
+
+    Parameters
+    ----------
+    a, v : array_like
+        Input sequences.
+    mode : {'valid', 'same', 'full'}, optional
+        Refer to the `np.convolve` docstring.
+    propagate_mask : bool
+        If True, then if any masked element is included in the sum for a result
+        element, then the result is masked.
+        If False, then the result element is only masked if no non-masked cells
+        contribute towards it
+
+    Returns
+    -------
+    out : MaskedArray
+        Discrete, linear convolution of `a` and `v`.
+
+    See Also
+    --------
+    numpy.convolve : Equivalent function in the top-level NumPy module.
+    """
+    return _convolve_or_correlate(np.convolve, a, v, mode, propagate_mask)
+
+
+def allequal(a, b, fill_value=True):
+    """
+    Return True if all entries of a and b are equal, using
+    fill_value as a truth value where either or both are masked.
+
+    Parameters
+    ----------
+    a, b : array_like
+        Input arrays to compare.
+    fill_value : bool, optional
+        Whether masked values in a or b are considered equal (True) or not
+        (False).
+
+    Returns
+    -------
+    y : bool
+        Returns True if the two arrays are equal within the given
+        tolerance, False otherwise. If either array contains NaN,
+        then False is returned.
+
+    See Also
+    --------
+    all, any
+    numpy.ma.allclose
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.array([1e10, 1e-7, 42.0], mask=[0, 0, 1])
+    >>> a
+    masked_array(data=[10000000000.0, 1e-07, --],
+                 mask=[False, False,  True],
+           fill_value=1e+20)
+
+    >>> b = np.array([1e10, 1e-7, -42.0])
+    >>> b
+    array([  1.00000000e+10,   1.00000000e-07,  -4.20000000e+01])
+    >>> np.ma.allequal(a, b, fill_value=False)
+    False
+    >>> np.ma.allequal(a, b)
+    True
+
+    """
+    m = mask_or(getmask(a), getmask(b))
+    if m is nomask:
+        x = getdata(a)
+        y = getdata(b)
+        d = umath.equal(x, y)
+        return d.all()
+    elif fill_value:
+        x = getdata(a)
+        y = getdata(b)
+        d = umath.equal(x, y)
+        dm = array(d, mask=m, copy=False)
+        return dm.filled(True).all(None)
+    else:
+        return False
+
+
+def allclose(a, b, masked_equal=True, rtol=1e-5, atol=1e-8):
+    """
+    Returns True if two arrays are element-wise equal within a tolerance.
+
+    This function is equivalent to `allclose` except that masked values
+    are treated as equal (default) or unequal, depending on the `masked_equal`
+    argument.
+
+    Parameters
+    ----------
+    a, b : array_like
+        Input arrays to compare.
+    masked_equal : bool, optional
+        Whether masked values in `a` and `b` are considered equal (True) or not
+        (False). They are considered equal by default.
+    rtol : float, optional
+        Relative tolerance. The relative difference is equal to ``rtol * b``.
+        Default is 1e-5.
+    atol : float, optional
+        Absolute tolerance. The absolute difference is equal to `atol`.
+        Default is 1e-8.
+
+    Returns
+    -------
+    y : bool
+        Returns True if the two arrays are equal within the given
+        tolerance, False otherwise. If either array contains NaN, then
+        False is returned.
+
+    See Also
+    --------
+    all, any
+    numpy.allclose : the non-masked `allclose`.
+
+    Notes
+    -----
+    If the following equation is element-wise True, then `allclose` returns
+    True::
+
+      absolute(`a` - `b`) <= (`atol` + `rtol` * absolute(`b`))
+
+    Return True if all elements of `a` and `b` are equal subject to
+    given tolerances.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.array([1e10, 1e-7, 42.0], mask=[0, 0, 1])
+    >>> a
+    masked_array(data=[10000000000.0, 1e-07, --],
+                 mask=[False, False,  True],
+           fill_value=1e+20)
+    >>> b = np.ma.array([1e10, 1e-8, -42.0], mask=[0, 0, 1])
+    >>> np.ma.allclose(a, b)
+    False
+
+    >>> a = np.ma.array([1e10, 1e-8, 42.0], mask=[0, 0, 1])
+    >>> b = np.ma.array([1.00001e10, 1e-9, -42.0], mask=[0, 0, 1])
+    >>> np.ma.allclose(a, b)
+    True
+    >>> np.ma.allclose(a, b, masked_equal=False)
+    False
+
+    Masked values are not compared directly.
+
+    >>> a = np.ma.array([1e10, 1e-8, 42.0], mask=[0, 0, 1])
+    >>> b = np.ma.array([1.00001e10, 1e-9, 42.0], mask=[0, 0, 1])
+    >>> np.ma.allclose(a, b)
+    True
+    >>> np.ma.allclose(a, b, masked_equal=False)
+    False
+
+    """
+    x = masked_array(a, copy=False)
+    y = masked_array(b, copy=False)
+
+    # make sure y is an inexact type to avoid abs(MIN_INT); will cause
+    # casting of x later.
+    # NOTE: We explicitly allow timedelta, which used to work. This could
+    #       possibly be deprecated. See also gh-18286.
+    #       timedelta works if `atol` is an integer or also a timedelta.
+    #       Although, the default tolerances are unlikely to be useful
+    if y.dtype.kind != "m":
+        dtype = np.result_type(y, 1.)
+        if y.dtype != dtype:
+            y = masked_array(y, dtype=dtype, copy=False)
+
+    m = mask_or(getmask(x), getmask(y))
+    xinf = np.isinf(masked_array(x, copy=False, mask=m)).filled(False)
+    # If we have some infs, they should fall at the same place.
+    if not np.all(xinf == filled(np.isinf(y), False)):
+        return False
+    # No infs at all
+    if not np.any(xinf):
+        d = filled(less_equal(absolute(x - y), atol + rtol * absolute(y)),
+                   masked_equal)
+        return np.all(d)
+
+    if not np.all(filled(x[xinf] == y[xinf], masked_equal)):
+        return False
+    x = x[~xinf]
+    y = y[~xinf]
+
+    d = filled(less_equal(absolute(x - y), atol + rtol * absolute(y)),
+               masked_equal)
+
+    return np.all(d)
+
+
+def asarray(a, dtype=None, order=None):
+    """
+    Convert the input to a masked array of the given data-type.
+
+    No copy is performed if the input is already an `ndarray`. If `a` is
+    a subclass of `MaskedArray`, a base class `MaskedArray` is returned.
+
+    Parameters
+    ----------
+    a : array_like
+        Input data, in any form that can be converted to a masked array. This
+        includes lists, lists of tuples, tuples, tuples of tuples, tuples
+        of lists, ndarrays and masked arrays.
+    dtype : dtype, optional
+        By default, the data-type is inferred from the input data.
+    order : {'C', 'F'}, optional
+        Whether to use row-major ('C') or column-major ('FORTRAN') memory
+        representation.  Default is 'C'.
+
+    Returns
+    -------
+    out : MaskedArray
+        Masked array interpretation of `a`.
+
+    See Also
+    --------
+    asanyarray : Similar to `asarray`, but conserves subclasses.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(10.).reshape(2, 5)
+    >>> x
+    array([[0., 1., 2., 3., 4.],
+           [5., 6., 7., 8., 9.]])
+    >>> np.ma.asarray(x)
+    masked_array(
+      data=[[0., 1., 2., 3., 4.],
+            [5., 6., 7., 8., 9.]],
+      mask=False,
+      fill_value=1e+20)
+    >>> type(np.ma.asarray(x))
+    
+
+    """
+    order = order or 'C'
+    return masked_array(a, dtype=dtype, copy=False, keep_mask=True,
+                        subok=False, order=order)
+
+
+def asanyarray(a, dtype=None):
+    """
+    Convert the input to a masked array, conserving subclasses.
+
+    If `a` is a subclass of `MaskedArray`, its class is conserved.
+    No copy is performed if the input is already an `ndarray`.
+
+    Parameters
+    ----------
+    a : array_like
+        Input data, in any form that can be converted to an array.
+    dtype : dtype, optional
+        By default, the data-type is inferred from the input data.
+    order : {'C', 'F'}, optional
+        Whether to use row-major ('C') or column-major ('FORTRAN') memory
+        representation.  Default is 'C'.
+
+    Returns
+    -------
+    out : MaskedArray
+        MaskedArray interpretation of `a`.
+
+    See Also
+    --------
+    asarray : Similar to `asanyarray`, but does not conserve subclass.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.arange(10.).reshape(2, 5)
+    >>> x
+    array([[0., 1., 2., 3., 4.],
+           [5., 6., 7., 8., 9.]])
+    >>> np.ma.asanyarray(x)
+    masked_array(
+      data=[[0., 1., 2., 3., 4.],
+            [5., 6., 7., 8., 9.]],
+      mask=False,
+      fill_value=1e+20)
+    >>> type(np.ma.asanyarray(x))
+    
+
+    """
+    # workaround for #8666, to preserve identity. Ideally the bottom line
+    # would handle this for us.
+    if isinstance(a, MaskedArray) and (dtype is None or dtype == a.dtype):
+        return a
+    return masked_array(a, dtype=dtype, copy=False, keep_mask=True, subok=True)
+
+
+##############################################################################
+#                               Pickling                                     #
+##############################################################################
+
+
+def fromfile(file, dtype=float, count=-1, sep=''):
+    raise NotImplementedError(
+        "fromfile() not yet implemented for a MaskedArray.")
+
+
+def fromflex(fxarray):
+    """
+    Build a masked array from a suitable flexible-type array.
+
+    The input array has to have a data-type with ``_data`` and ``_mask``
+    fields. This type of array is output by `MaskedArray.toflex`.
+
+    Parameters
+    ----------
+    fxarray : ndarray
+        The structured input array, containing ``_data`` and ``_mask``
+        fields. If present, other fields are discarded.
+
+    Returns
+    -------
+    result : MaskedArray
+        The constructed masked array.
+
+    See Also
+    --------
+    MaskedArray.toflex : Build a flexible-type array from a masked array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array(np.arange(9).reshape(3, 3), mask=[0] + [1, 0] * 4)
+    >>> rec = x.toflex()
+    >>> rec
+    array([[(0, False), (1,  True), (2, False)],
+           [(3,  True), (4, False), (5,  True)],
+           [(6, False), (7,  True), (8, False)]],
+          dtype=[('_data', '>> x2 = np.ma.fromflex(rec)
+    >>> x2
+    masked_array(
+      data=[[0, --, 2],
+            [--, 4, --],
+            [6, --, 8]],
+      mask=[[False,  True, False],
+            [ True, False,  True],
+            [False,  True, False]],
+      fill_value=999999)
+
+    Extra fields can be present in the structured array but are discarded:
+
+    >>> dt = [('_data', '>> rec2 = np.zeros((2, 2), dtype=dt)
+    >>> rec2
+    array([[(0, False, 0.), (0, False, 0.)],
+           [(0, False, 0.), (0, False, 0.)]],
+          dtype=[('_data', '>> y = np.ma.fromflex(rec2)
+    >>> y
+    masked_array(
+      data=[[0, 0],
+            [0, 0]],
+      mask=[[False, False],
+            [False, False]],
+      fill_value=np.int64(999999),
+      dtype=int32)
+
+    """
+    return masked_array(fxarray['_data'], mask=fxarray['_mask'])
+
+
+class _convert2ma:
+
+    """
+    Convert functions from numpy to numpy.ma.
+
+    Parameters
+    ----------
+        _methodname : string
+            Name of the method to transform.
+
+    """
+    __doc__ = None
+
+    def __init__(self, funcname, np_ret, np_ma_ret, params=None):
+        self._func = getattr(np, funcname)
+        self.__doc__ = self.getdoc(np_ret, np_ma_ret)
+        self._extras = params or {}
+
+    def getdoc(self, np_ret, np_ma_ret):
+        "Return the doc of the function (from the doc of the method)."
+        doc = getattr(self._func, '__doc__', None)
+        sig = get_object_signature(self._func)
+        if doc:
+            doc = self._replace_return_type(doc, np_ret, np_ma_ret)
+            # Add the signature of the function at the beginning of the doc
+            if sig:
+                sig = "%s%s\n" % (self._func.__name__, sig)
+            doc = sig + doc
+        return doc
+
+    def _replace_return_type(self, doc, np_ret, np_ma_ret):
+        """
+        Replace documentation of ``np`` function's return type.
+
+        Replaces it with the proper type for the ``np.ma`` function.
+
+        Parameters
+        ----------
+        doc : str
+            The documentation of the ``np`` method.
+        np_ret : str
+            The return type string of the ``np`` method that we want to
+            replace. (e.g. "out : ndarray")
+        np_ma_ret : str
+            The return type string of the ``np.ma`` method.
+            (e.g. "out : MaskedArray")
+        """
+        if np_ret not in doc:
+            raise RuntimeError(
+                f"Failed to replace `{np_ret}` with `{np_ma_ret}`. "
+                f"The documentation string for return type, {np_ret}, is not "
+                f"found in the docstring for `np.{self._func.__name__}`. "
+                f"Fix the docstring for `np.{self._func.__name__}` or "
+                "update the expected string for return type."
+            )
+
+        return doc.replace(np_ret, np_ma_ret)
+
+    def __call__(self, *args, **params):
+        # Find the common parameters to the call and the definition
+        _extras = self._extras
+        common_params = set(params).intersection(_extras)
+        # Drop the common parameters from the call
+        for p in common_params:
+            _extras[p] = params.pop(p)
+        # Get the result
+        result = self._func.__call__(*args, **params).view(MaskedArray)
+        if "fill_value" in common_params:
+            result.fill_value = _extras.get("fill_value", None)
+        if "hardmask" in common_params:
+            result._hardmask = bool(_extras.get("hard_mask", False))
+        return result
+
+
+arange = _convert2ma(
+    'arange',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='arange : ndarray',
+    np_ma_ret='arange : MaskedArray',
+)
+clip = _convert2ma(
+    'clip',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='clipped_array : ndarray',
+    np_ma_ret='clipped_array : MaskedArray',
+)
+empty = _convert2ma(
+    'empty',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='out : ndarray',
+    np_ma_ret='out : MaskedArray',
+)
+empty_like = _convert2ma(
+    'empty_like',
+    np_ret='out : ndarray',
+    np_ma_ret='out : MaskedArray',
+)
+frombuffer = _convert2ma(
+    'frombuffer',
+    np_ret='out : ndarray',
+    np_ma_ret='out: MaskedArray',
+)
+fromfunction = _convert2ma(
+   'fromfunction',
+   np_ret='fromfunction : any',
+   np_ma_ret='fromfunction: MaskedArray',
+)
+identity = _convert2ma(
+    'identity',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='out : ndarray',
+    np_ma_ret='out : MaskedArray',
+)
+indices = _convert2ma(
+    'indices',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='grid : one ndarray or tuple of ndarrays',
+    np_ma_ret='grid : one MaskedArray or tuple of MaskedArrays',
+)
+ones = _convert2ma(
+    'ones',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='out : ndarray',
+    np_ma_ret='out : MaskedArray',
+)
+ones_like = _convert2ma(
+    'ones_like',
+    np_ret='out : ndarray',
+    np_ma_ret='out : MaskedArray',
+)
+squeeze = _convert2ma(
+    'squeeze',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='squeezed : ndarray',
+    np_ma_ret='squeezed : MaskedArray',
+)
+zeros = _convert2ma(
+    'zeros',
+    params=dict(fill_value=None, hardmask=False),
+    np_ret='out : ndarray',
+    np_ma_ret='out : MaskedArray',
+)
+zeros_like = _convert2ma(
+    'zeros_like',
+    np_ret='out : ndarray',
+    np_ma_ret='out : MaskedArray',
+)
+
+
+def append(a, b, axis=None):
+    """Append values to the end of an array.
+
+    Parameters
+    ----------
+    a : array_like
+        Values are appended to a copy of this array.
+    b : array_like
+        These values are appended to a copy of `a`.  It must be of the
+        correct shape (the same shape as `a`, excluding `axis`).  If `axis`
+        is not specified, `b` can be any shape and will be flattened
+        before use.
+    axis : int, optional
+        The axis along which `v` are appended.  If `axis` is not given,
+        both `a` and `b` are flattened before use.
+
+    Returns
+    -------
+    append : MaskedArray
+        A copy of `a` with `b` appended to `axis`.  Note that `append`
+        does not occur in-place: a new array is allocated and filled.  If
+        `axis` is None, the result is a flattened array.
+
+    See Also
+    --------
+    numpy.append : Equivalent function in the top-level NumPy module.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> import numpy.ma as ma
+    >>> a = ma.masked_values([1, 2, 3], 2)
+    >>> b = ma.masked_values([[4, 5, 6], [7, 8, 9]], 7)
+    >>> ma.append(a, b)
+    masked_array(data=[1, --, 3, 4, 5, 6, --, 8, 9],
+                 mask=[False,  True, False, False, False, False,  True, False,
+                       False],
+           fill_value=999999)
+    """
+    return concatenate([a, b], axis)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/core.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/core.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..83c0636ce4a70f921871160af0c9a0397bdb90aa
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/core.pyi
@@ -0,0 +1,656 @@
+# pyright: reportIncompatibleMethodOverride=false
+# ruff: noqa: ANN001, ANN002, ANN003, ANN201, ANN202 ANN204
+
+from typing import Any, SupportsIndex, TypeVar
+
+from _typeshed import Incomplete
+from typing_extensions import deprecated
+
+from numpy import _OrderKACF, amax, amin, bool_, dtype, expand_dims, float64, ndarray
+from numpy._typing import ArrayLike, _DTypeLikeBool
+
+__all__ = [
+    "MAError",
+    "MaskError",
+    "MaskType",
+    "MaskedArray",
+    "abs",
+    "absolute",
+    "add",
+    "all",
+    "allclose",
+    "allequal",
+    "alltrue",
+    "amax",
+    "amin",
+    "angle",
+    "anom",
+    "anomalies",
+    "any",
+    "append",
+    "arange",
+    "arccos",
+    "arccosh",
+    "arcsin",
+    "arcsinh",
+    "arctan",
+    "arctan2",
+    "arctanh",
+    "argmax",
+    "argmin",
+    "argsort",
+    "around",
+    "array",
+    "asanyarray",
+    "asarray",
+    "bitwise_and",
+    "bitwise_or",
+    "bitwise_xor",
+    "bool_",
+    "ceil",
+    "choose",
+    "clip",
+    "common_fill_value",
+    "compress",
+    "compressed",
+    "concatenate",
+    "conjugate",
+    "convolve",
+    "copy",
+    "correlate",
+    "cos",
+    "cosh",
+    "count",
+    "cumprod",
+    "cumsum",
+    "default_fill_value",
+    "diag",
+    "diagonal",
+    "diff",
+    "divide",
+    "empty",
+    "empty_like",
+    "equal",
+    "exp",
+    "expand_dims",
+    "fabs",
+    "filled",
+    "fix_invalid",
+    "flatten_mask",
+    "flatten_structured_array",
+    "floor",
+    "floor_divide",
+    "fmod",
+    "frombuffer",
+    "fromflex",
+    "fromfunction",
+    "getdata",
+    "getmask",
+    "getmaskarray",
+    "greater",
+    "greater_equal",
+    "harden_mask",
+    "hypot",
+    "identity",
+    "ids",
+    "indices",
+    "inner",
+    "innerproduct",
+    "isMA",
+    "isMaskedArray",
+    "is_mask",
+    "is_masked",
+    "isarray",
+    "left_shift",
+    "less",
+    "less_equal",
+    "log",
+    "log2",
+    "log10",
+    "logical_and",
+    "logical_not",
+    "logical_or",
+    "logical_xor",
+    "make_mask",
+    "make_mask_descr",
+    "make_mask_none",
+    "mask_or",
+    "masked",
+    "masked_array",
+    "masked_equal",
+    "masked_greater",
+    "masked_greater_equal",
+    "masked_inside",
+    "masked_invalid",
+    "masked_less",
+    "masked_less_equal",
+    "masked_not_equal",
+    "masked_object",
+    "masked_outside",
+    "masked_print_option",
+    "masked_singleton",
+    "masked_values",
+    "masked_where",
+    "max",
+    "maximum",
+    "maximum_fill_value",
+    "mean",
+    "min",
+    "minimum",
+    "minimum_fill_value",
+    "mod",
+    "multiply",
+    "mvoid",
+    "ndim",
+    "negative",
+    "nomask",
+    "nonzero",
+    "not_equal",
+    "ones",
+    "ones_like",
+    "outer",
+    "outerproduct",
+    "power",
+    "prod",
+    "product",
+    "ptp",
+    "put",
+    "putmask",
+    "ravel",
+    "remainder",
+    "repeat",
+    "reshape",
+    "resize",
+    "right_shift",
+    "round",
+    "round_",
+    "set_fill_value",
+    "shape",
+    "sin",
+    "sinh",
+    "size",
+    "soften_mask",
+    "sometrue",
+    "sort",
+    "sqrt",
+    "squeeze",
+    "std",
+    "subtract",
+    "sum",
+    "swapaxes",
+    "take",
+    "tan",
+    "tanh",
+    "trace",
+    "transpose",
+    "true_divide",
+    "var",
+    "where",
+    "zeros",
+    "zeros_like",
+]
+
+_ShapeType_co = TypeVar("_ShapeType_co", bound=tuple[int, ...], covariant=True)
+_DType_co = TypeVar("_DType_co", bound=dtype[Any], covariant=True)
+
+
+MaskType = bool
+nomask: bool
+
+class MaskedArrayFutureWarning(FutureWarning): ...
+class MAError(Exception): ...
+class MaskError(MAError): ...
+
+def default_fill_value(obj): ...
+def minimum_fill_value(obj): ...
+def maximum_fill_value(obj): ...
+def set_fill_value(a, fill_value): ...
+def common_fill_value(a, b): ...
+def filled(a, fill_value=...): ...
+def getdata(a, subok=...): ...
+get_data = getdata
+
+def fix_invalid(a, mask=..., copy=..., fill_value=...): ...
+
+class _MaskedUFunc:
+    f: Any
+    __doc__: Any
+    __name__: Any
+    def __init__(self, ufunc): ...
+
+class _MaskedUnaryOperation(_MaskedUFunc):
+    fill: Any
+    domain: Any
+    def __init__(self, mufunc, fill=..., domain=...): ...
+    def __call__(self, a, *args, **kwargs): ...
+
+class _MaskedBinaryOperation(_MaskedUFunc):
+    fillx: Any
+    filly: Any
+    def __init__(self, mbfunc, fillx=..., filly=...): ...
+    def __call__(self, a, b, *args, **kwargs): ...
+    def reduce(self, target, axis=..., dtype=...): ...
+    def outer(self, a, b): ...
+    def accumulate(self, target, axis=...): ...
+
+class _DomainedBinaryOperation(_MaskedUFunc):
+    domain: Any
+    fillx: Any
+    filly: Any
+    def __init__(self, dbfunc, domain, fillx=..., filly=...): ...
+    def __call__(self, a, b, *args, **kwargs): ...
+
+exp: _MaskedUnaryOperation
+conjugate: _MaskedUnaryOperation
+sin: _MaskedUnaryOperation
+cos: _MaskedUnaryOperation
+arctan: _MaskedUnaryOperation
+arcsinh: _MaskedUnaryOperation
+sinh: _MaskedUnaryOperation
+cosh: _MaskedUnaryOperation
+tanh: _MaskedUnaryOperation
+abs: _MaskedUnaryOperation
+absolute: _MaskedUnaryOperation
+angle: _MaskedUnaryOperation
+fabs: _MaskedUnaryOperation
+negative: _MaskedUnaryOperation
+floor: _MaskedUnaryOperation
+ceil: _MaskedUnaryOperation
+around: _MaskedUnaryOperation
+logical_not: _MaskedUnaryOperation
+sqrt: _MaskedUnaryOperation
+log: _MaskedUnaryOperation
+log2: _MaskedUnaryOperation
+log10: _MaskedUnaryOperation
+tan: _MaskedUnaryOperation
+arcsin: _MaskedUnaryOperation
+arccos: _MaskedUnaryOperation
+arccosh: _MaskedUnaryOperation
+arctanh: _MaskedUnaryOperation
+
+add: _MaskedBinaryOperation
+subtract: _MaskedBinaryOperation
+multiply: _MaskedBinaryOperation
+arctan2: _MaskedBinaryOperation
+equal: _MaskedBinaryOperation
+not_equal: _MaskedBinaryOperation
+less_equal: _MaskedBinaryOperation
+greater_equal: _MaskedBinaryOperation
+less: _MaskedBinaryOperation
+greater: _MaskedBinaryOperation
+logical_and: _MaskedBinaryOperation
+def alltrue(target: ArrayLike, axis: SupportsIndex | None = 0, dtype: _DTypeLikeBool | None = None) -> Incomplete: ...
+logical_or: _MaskedBinaryOperation
+def sometrue(target: ArrayLike, axis: SupportsIndex | None = 0, dtype: _DTypeLikeBool | None = None) -> Incomplete: ...
+logical_xor: _MaskedBinaryOperation
+bitwise_and: _MaskedBinaryOperation
+bitwise_or: _MaskedBinaryOperation
+bitwise_xor: _MaskedBinaryOperation
+hypot: _MaskedBinaryOperation
+
+divide: _DomainedBinaryOperation
+true_divide: _DomainedBinaryOperation
+floor_divide: _DomainedBinaryOperation
+remainder: _DomainedBinaryOperation
+fmod: _DomainedBinaryOperation
+mod: _DomainedBinaryOperation
+
+def make_mask_descr(ndtype): ...
+def getmask(a): ...
+get_mask = getmask
+
+def getmaskarray(arr): ...
+def is_mask(m): ...
+def make_mask(m, copy=..., shrink=..., dtype=...): ...
+def make_mask_none(newshape, dtype=...): ...
+def mask_or(m1, m2, copy=..., shrink=...): ...
+def flatten_mask(mask): ...
+def masked_where(condition, a, copy=...): ...
+def masked_greater(x, value, copy=...): ...
+def masked_greater_equal(x, value, copy=...): ...
+def masked_less(x, value, copy=...): ...
+def masked_less_equal(x, value, copy=...): ...
+def masked_not_equal(x, value, copy=...): ...
+def masked_equal(x, value, copy=...): ...
+def masked_inside(x, v1, v2, copy=...): ...
+def masked_outside(x, v1, v2, copy=...): ...
+def masked_object(x, value, copy=..., shrink=...): ...
+def masked_values(x, value, rtol=..., atol=..., copy=..., shrink=...): ...
+def masked_invalid(a, copy=...): ...
+
+class _MaskedPrintOption:
+    def __init__(self, display): ...
+    def display(self): ...
+    def set_display(self, s): ...
+    def enabled(self): ...
+    def enable(self, shrink=...): ...
+
+masked_print_option: _MaskedPrintOption
+
+def flatten_structured_array(a): ...
+
+class MaskedIterator:
+    ma: Any
+    dataiter: Any
+    maskiter: Any
+    def __init__(self, ma): ...
+    def __iter__(self): ...
+    def __getitem__(self, indx): ...
+    def __setitem__(self, index, value): ...
+    def __next__(self): ...
+
+class MaskedArray(ndarray[_ShapeType_co, _DType_co]):
+    __array_priority__: Any
+    def __new__(cls, data=..., mask=..., dtype=..., copy=..., subok=..., ndmin=..., fill_value=..., keep_mask=..., hard_mask=..., shrink=..., order=...): ...
+    def __array_finalize__(self, obj): ...
+    def __array_wrap__(self, obj, context=..., return_scalar=...): ...
+    def view(self, dtype=..., type=..., fill_value=...): ...
+    def __getitem__(self, indx): ...
+    def __setitem__(self, indx, value): ...
+    @property
+    def dtype(self): ...
+    @dtype.setter
+    def dtype(self, dtype): ...
+    @property
+    def shape(self): ...
+    @shape.setter
+    def shape(self, shape): ...
+    def __setmask__(self, mask, copy=...): ...
+    @property
+    def mask(self): ...
+    @mask.setter
+    def mask(self, value): ...
+    @property
+    def recordmask(self): ...
+    @recordmask.setter
+    def recordmask(self, mask): ...
+    def harden_mask(self): ...
+    def soften_mask(self): ...
+    @property
+    def hardmask(self): ...
+    def unshare_mask(self): ...
+    @property
+    def sharedmask(self): ...
+    def shrink_mask(self): ...
+    @property
+    def baseclass(self): ...
+    data: Any
+    @property
+    def flat(self): ...
+    @flat.setter
+    def flat(self, value): ...
+    @property
+    def fill_value(self): ...
+    @fill_value.setter
+    def fill_value(self, value=...): ...
+    get_fill_value: Any
+    set_fill_value: Any
+    def filled(self, fill_value=...): ...
+    def compressed(self): ...
+    def compress(self, condition, axis=..., out=...): ...
+    def __eq__(self, other): ...
+    def __ne__(self, other): ...
+    def __ge__(self, other): ...
+    def __gt__(self, other): ...
+    def __le__(self, other): ...
+    def __lt__(self, other): ...
+    def __add__(self, other): ...
+    def __radd__(self, other): ...
+    def __sub__(self, other): ...
+    def __rsub__(self, other): ...
+    def __mul__(self, other): ...
+    def __rmul__(self, other): ...
+    def __div__(self, other): ...
+    def __truediv__(self, other): ...
+    def __rtruediv__(self, other): ...
+    def __floordiv__(self, other): ...
+    def __rfloordiv__(self, other): ...
+    def __pow__(self, other): ...
+    def __rpow__(self, other): ...
+    def __iadd__(self, other): ...
+    def __isub__(self, other): ...
+    def __imul__(self, other): ...
+    def __idiv__(self, other): ...
+    def __ifloordiv__(self, other): ...
+    def __itruediv__(self, other): ...
+    def __ipow__(self, other): ...
+    def __float__(self): ...
+    def __int__(self): ...
+    @property  # type: ignore[misc]
+    def imag(self): ...
+    get_imag: Any
+    @property  # type: ignore[misc]
+    def real(self): ...
+    get_real: Any
+    def count(self, axis=..., keepdims=...): ...
+    def ravel(self, order=...): ...
+    def reshape(self, *s, **kwargs): ...
+    def resize(self, newshape, refcheck=..., order=...): ...
+    def put(self, indices, values, mode=...): ...
+    def ids(self): ...
+    def iscontiguous(self): ...
+    def all(self, axis=..., out=..., keepdims=...): ...
+    def any(self, axis=..., out=..., keepdims=...): ...
+    def nonzero(self): ...
+    def trace(self, offset=..., axis1=..., axis2=..., dtype=..., out=...): ...
+    def dot(self, b, out=..., strict=...): ...
+    def sum(self, axis=..., dtype=..., out=..., keepdims=...): ...
+    def cumsum(self, axis=..., dtype=..., out=...): ...
+    def prod(self, axis=..., dtype=..., out=..., keepdims=...): ...
+    product: Any
+    def cumprod(self, axis=..., dtype=..., out=...): ...
+    def mean(self, axis=..., dtype=..., out=..., keepdims=...): ...
+    def anom(self, axis=..., dtype=...): ...
+    def var(self, axis=..., dtype=..., out=..., ddof=..., keepdims=...): ...
+    def std(self, axis=..., dtype=..., out=..., ddof=..., keepdims=...): ...
+    def round(self, decimals=..., out=...): ...
+    def argsort(self, axis=..., kind=..., order=..., endwith=..., fill_value=..., *, stable=...): ...
+    def argmin(self, axis=..., fill_value=..., out=..., *, keepdims=...): ...
+    def argmax(self, axis=..., fill_value=..., out=..., *, keepdims=...): ...
+    def sort(self, axis=..., kind=..., order=..., endwith=..., fill_value=..., *, stable=...): ...
+    def min(self, axis=..., out=..., fill_value=..., keepdims=...): ...
+    # NOTE: deprecated
+    # def tostring(self, fill_value=..., order=...): ...
+    def max(self, axis=..., out=..., fill_value=..., keepdims=...): ...
+    def ptp(self, axis=..., out=..., fill_value=..., keepdims=...): ...
+    def partition(self, *args, **kwargs): ...
+    def argpartition(self, *args, **kwargs): ...
+    def take(self, indices, axis=..., out=..., mode=...): ...
+
+    copy: Any
+    diagonal: Any
+    flatten: Any
+    repeat: Any
+    squeeze: Any
+    swapaxes: Any
+    T: Any
+    transpose: Any
+
+    @property  # type: ignore[misc]
+    def mT(self): ...
+
+    #
+    def toflex(self) -> Incomplete: ...
+    def torecords(self) -> Incomplete: ...
+    def tolist(self, fill_value: Incomplete | None = None) -> Incomplete: ...
+    @deprecated("tostring() is deprecated. Use tobytes() instead.")
+    def tostring(self, /, fill_value: Incomplete | None = None, order: _OrderKACF = "C") -> bytes: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleMethodOverride]
+    def tobytes(self, /, fill_value: Incomplete | None = None, order: _OrderKACF = "C") -> bytes: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleMethodOverride]
+    def tofile(self, /, fid: Incomplete, sep: str = "", format: str = "%s") -> Incomplete: ...
+
+    #
+    def __reduce__(self): ...
+    def __deepcopy__(self, memo=...): ...
+
+class mvoid(MaskedArray[_ShapeType_co, _DType_co]):
+    def __new__(
+        self,  # pyright: ignore[reportSelfClsParameterName]
+        data,
+        mask=...,
+        dtype=...,
+        fill_value=...,
+        hardmask=...,
+        copy=...,
+        subok=...,
+    ): ...
+    def __getitem__(self, indx): ...
+    def __setitem__(self, indx, value): ...
+    def __iter__(self): ...
+    def __len__(self): ...
+    def filled(self, fill_value=...): ...
+    def tolist(self): ...
+
+def isMaskedArray(x): ...
+isarray = isMaskedArray
+isMA = isMaskedArray
+
+# 0D float64 array
+class MaskedConstant(MaskedArray[Any, dtype[float64]]):
+    def __new__(cls): ...
+    __class__: Any
+    def __array_finalize__(self, obj): ...
+    def __array_wrap__(self, obj, context=..., return_scalar=...): ...
+    def __format__(self, format_spec): ...
+    def __reduce__(self): ...
+    def __iop__(self, other): ...
+    __iadd__: Any
+    __isub__: Any
+    __imul__: Any
+    __ifloordiv__: Any
+    __itruediv__: Any
+    __ipow__: Any
+    def copy(self, *args, **kwargs): ...
+    def __copy__(self): ...
+    def __deepcopy__(self, memo): ...
+    def __setattr__(self, attr, value): ...
+
+masked: MaskedConstant
+masked_singleton: MaskedConstant
+masked_array = MaskedArray
+
+def array(
+    data,
+    dtype=...,
+    copy=...,
+    order=...,
+    mask=...,
+    fill_value=...,
+    keep_mask=...,
+    hard_mask=...,
+    shrink=...,
+    subok=...,
+    ndmin=...,
+): ...
+def is_masked(x): ...
+
+class _extrema_operation(_MaskedUFunc):
+    compare: Any
+    fill_value_func: Any
+    def __init__(self, ufunc, compare, fill_value): ...
+    # NOTE: in practice `b` has a default value, but users should
+    # explicitly provide a value here as the default is deprecated
+    def __call__(self, a, b): ...
+    def reduce(self, target, axis=...): ...
+    def outer(self, a, b): ...
+
+def min(obj, axis=..., out=..., fill_value=..., keepdims=...): ...
+def max(obj, axis=..., out=..., fill_value=..., keepdims=...): ...
+def ptp(obj, axis=..., out=..., fill_value=..., keepdims=...): ...
+
+class _frommethod:
+    __name__: Any
+    __doc__: Any
+    reversed: Any
+    def __init__(self, methodname, reversed=...): ...
+    def getdoc(self): ...
+    def __call__(self, a, *args, **params): ...
+
+all: _frommethod
+anomalies: _frommethod
+anom: _frommethod
+any: _frommethod
+compress: _frommethod
+cumprod: _frommethod
+cumsum: _frommethod
+copy: _frommethod
+diagonal: _frommethod
+harden_mask: _frommethod
+ids: _frommethod
+mean: _frommethod
+nonzero: _frommethod
+prod: _frommethod
+product: _frommethod
+ravel: _frommethod
+repeat: _frommethod
+soften_mask: _frommethod
+std: _frommethod
+sum: _frommethod
+swapaxes: _frommethod
+trace: _frommethod
+var: _frommethod
+count: _frommethod
+argmin: _frommethod
+argmax: _frommethod
+
+minimum: _extrema_operation
+maximum: _extrema_operation
+
+def take(a, indices, axis=..., out=..., mode=...): ...
+def power(a, b, third=...): ...
+def argsort(a, axis=..., kind=..., order=..., endwith=..., fill_value=..., *, stable=...): ...
+def sort(a, axis=..., kind=..., order=..., endwith=..., fill_value=..., *, stable=...): ...
+def compressed(x): ...
+def concatenate(arrays, axis=...): ...
+def diag(v, k=...): ...
+def left_shift(a, n): ...
+def right_shift(a, n): ...
+def put(a, indices, values, mode=...): ...
+def putmask(a, mask, values): ...
+def transpose(a, axes=...): ...
+def reshape(a, new_shape, order=...): ...
+def resize(x, new_shape): ...
+def ndim(obj): ...
+def shape(obj): ...
+def size(obj, axis=...): ...
+def diff(a, /, n=..., axis=..., prepend=..., append=...): ...
+def where(condition, x=..., y=...): ...
+def choose(indices, choices, out=..., mode=...): ...
+def round_(a, decimals=..., out=...): ...
+round = round_
+
+def inner(a, b): ...
+innerproduct = inner
+
+def outer(a, b): ...
+outerproduct = outer
+
+def correlate(a, v, mode=..., propagate_mask=...): ...
+def convolve(a, v, mode=..., propagate_mask=...): ...
+def allequal(a, b, fill_value=...): ...
+def allclose(a, b, masked_equal=..., rtol=..., atol=...): ...
+def asarray(a, dtype=..., order=...): ...
+def asanyarray(a, dtype=...): ...
+def fromflex(fxarray): ...
+
+class _convert2ma:
+    def __init__(self, /, funcname: str, np_ret: str, np_ma_ret: str, params: dict[str, Any] | None = None) -> None: ...
+    def __call__(self, /, *args: object, **params: object) -> Any: ...  # noqa: ANN401
+    def getdoc(self, /, np_ret: str, np_ma_ret: str) -> str | None: ...
+
+arange: _convert2ma
+clip: _convert2ma
+empty: _convert2ma
+empty_like: _convert2ma
+frombuffer: _convert2ma
+fromfunction: _convert2ma
+identity: _convert2ma
+indices: _convert2ma
+ones: _convert2ma
+ones_like: _convert2ma
+squeeze: _convert2ma
+zeros: _convert2ma
+zeros_like: _convert2ma
+
+def append(a, b, axis=...): ...
+def dot(a, b, strict=..., out=...): ...
+def mask_rowcols(a, axis=...): ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/extras.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/extras.py
new file mode 100644
index 0000000000000000000000000000000000000000..bdc35c424ce3843feb7f599745f413ebdd1dbe81
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/extras.py
@@ -0,0 +1,2321 @@
+"""
+Masked arrays add-ons.
+
+A collection of utilities for `numpy.ma`.
+
+:author: Pierre Gerard-Marchant
+:contact: pierregm_at_uga_dot_edu
+:version: $Id: extras.py 3473 2007-10-29 15:18:13Z jarrod.millman $
+
+"""
+__all__ = [
+    'apply_along_axis', 'apply_over_axes', 'atleast_1d', 'atleast_2d',
+    'atleast_3d', 'average', 'clump_masked', 'clump_unmasked', 'column_stack',
+    'compress_cols', 'compress_nd', 'compress_rowcols', 'compress_rows',
+    'count_masked', 'corrcoef', 'cov', 'diagflat', 'dot', 'dstack', 'ediff1d',
+    'flatnotmasked_contiguous', 'flatnotmasked_edges', 'hsplit', 'hstack',
+    'isin', 'in1d', 'intersect1d', 'mask_cols', 'mask_rowcols', 'mask_rows',
+    'masked_all', 'masked_all_like', 'median', 'mr_', 'ndenumerate',
+    'notmasked_contiguous', 'notmasked_edges', 'polyfit', 'row_stack',
+    'setdiff1d', 'setxor1d', 'stack', 'unique', 'union1d', 'vander', 'vstack',
+    ]
+
+import itertools
+import warnings
+
+from . import core as ma
+from .core import (
+    MaskedArray, MAError, add, array, asarray, concatenate, filled, count,
+    getmask, getmaskarray, make_mask_descr, masked, masked_array, mask_or,
+    nomask, ones, sort, zeros, getdata, get_masked_subclass, dot
+    )
+
+import numpy as np
+from numpy import ndarray, array as nxarray
+from numpy.lib.array_utils import normalize_axis_index, normalize_axis_tuple
+from numpy.lib._function_base_impl import _ureduce
+from numpy.lib._index_tricks_impl import AxisConcatenator
+
+
+def issequence(seq):
+    """
+    Is seq a sequence (ndarray, list or tuple)?
+
+    """
+    return isinstance(seq, (ndarray, tuple, list))
+
+
+def count_masked(arr, axis=None):
+    """
+    Count the number of masked elements along the given axis.
+
+    Parameters
+    ----------
+    arr : array_like
+        An array with (possibly) masked elements.
+    axis : int, optional
+        Axis along which to count. If None (default), a flattened
+        version of the array is used.
+
+    Returns
+    -------
+    count : int, ndarray
+        The total number of masked elements (axis=None) or the number
+        of masked elements along each slice of the given axis.
+
+    See Also
+    --------
+    MaskedArray.count : Count non-masked elements.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.arange(9).reshape((3,3))
+    >>> a = np.ma.array(a)
+    >>> a[1, 0] = np.ma.masked
+    >>> a[1, 2] = np.ma.masked
+    >>> a[2, 1] = np.ma.masked
+    >>> a
+    masked_array(
+      data=[[0, 1, 2],
+            [--, 4, --],
+            [6, --, 8]],
+      mask=[[False, False, False],
+            [ True, False,  True],
+            [False,  True, False]],
+      fill_value=999999)
+    >>> np.ma.count_masked(a)
+    3
+
+    When the `axis` keyword is used an array is returned.
+
+    >>> np.ma.count_masked(a, axis=0)
+    array([1, 1, 1])
+    >>> np.ma.count_masked(a, axis=1)
+    array([0, 2, 1])
+
+    """
+    m = getmaskarray(arr)
+    return m.sum(axis)
+
+
+def masked_all(shape, dtype=float):
+    """
+    Empty masked array with all elements masked.
+
+    Return an empty masked array of the given shape and dtype, where all the
+    data are masked.
+
+    Parameters
+    ----------
+    shape : int or tuple of ints
+        Shape of the required MaskedArray, e.g., ``(2, 3)`` or ``2``.
+    dtype : dtype, optional
+        Data type of the output.
+
+    Returns
+    -------
+    a : MaskedArray
+        A masked array with all data masked.
+
+    See Also
+    --------
+    masked_all_like : Empty masked array modelled on an existing array.
+
+    Notes
+    -----
+    Unlike other masked array creation functions (e.g. `numpy.ma.zeros`,
+    `numpy.ma.ones`, `numpy.ma.full`), `masked_all` does not initialize the
+    values of the array, and may therefore be marginally faster. However,
+    the values stored in the newly allocated array are arbitrary. For
+    reproducible behavior, be sure to set each element of the array before
+    reading.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.ma.masked_all((3, 3))
+    masked_array(
+      data=[[--, --, --],
+            [--, --, --],
+            [--, --, --]],
+      mask=[[ True,  True,  True],
+            [ True,  True,  True],
+            [ True,  True,  True]],
+      fill_value=1e+20,
+      dtype=float64)
+
+    The `dtype` parameter defines the underlying data type.
+
+    >>> a = np.ma.masked_all((3, 3))
+    >>> a.dtype
+    dtype('float64')
+    >>> a = np.ma.masked_all((3, 3), dtype=np.int32)
+    >>> a.dtype
+    dtype('int32')
+
+    """
+    a = masked_array(np.empty(shape, dtype),
+                     mask=np.ones(shape, make_mask_descr(dtype)))
+    return a
+
+
+def masked_all_like(arr):
+    """
+    Empty masked array with the properties of an existing array.
+
+    Return an empty masked array of the same shape and dtype as
+    the array `arr`, where all the data are masked.
+
+    Parameters
+    ----------
+    arr : ndarray
+        An array describing the shape and dtype of the required MaskedArray.
+
+    Returns
+    -------
+    a : MaskedArray
+        A masked array with all data masked.
+
+    Raises
+    ------
+    AttributeError
+        If `arr` doesn't have a shape attribute (i.e. not an ndarray)
+
+    See Also
+    --------
+    masked_all : Empty masked array with all elements masked.
+
+    Notes
+    -----
+    Unlike other masked array creation functions (e.g. `numpy.ma.zeros_like`,
+    `numpy.ma.ones_like`, `numpy.ma.full_like`), `masked_all_like` does not
+    initialize the values of the array, and may therefore be marginally
+    faster. However, the values stored in the newly allocated array are
+    arbitrary. For reproducible behavior, be sure to set each element of the
+    array before reading.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = np.zeros((2, 3), dtype=np.float32)
+    >>> arr
+    array([[0., 0., 0.],
+           [0., 0., 0.]], dtype=float32)
+    >>> np.ma.masked_all_like(arr)
+    masked_array(
+      data=[[--, --, --],
+            [--, --, --]],
+      mask=[[ True,  True,  True],
+            [ True,  True,  True]],
+      fill_value=np.float64(1e+20),
+      dtype=float32)
+
+    The dtype of the masked array matches the dtype of `arr`.
+
+    >>> arr.dtype
+    dtype('float32')
+    >>> np.ma.masked_all_like(arr).dtype
+    dtype('float32')
+
+    """
+    a = np.empty_like(arr).view(MaskedArray)
+    a._mask = np.ones(a.shape, dtype=make_mask_descr(a.dtype))
+    return a
+
+
+#####--------------------------------------------------------------------------
+#---- --- Standard functions ---
+#####--------------------------------------------------------------------------
+class _fromnxfunction:
+    """
+    Defines a wrapper to adapt NumPy functions to masked arrays.
+
+
+    An instance of `_fromnxfunction` can be called with the same parameters
+    as the wrapped NumPy function. The docstring of `newfunc` is adapted from
+    the wrapped function as well, see `getdoc`.
+
+    This class should not be used directly. Instead, one of its extensions that
+    provides support for a specific type of input should be used.
+
+    Parameters
+    ----------
+    funcname : str
+        The name of the function to be adapted. The function should be
+        in the NumPy namespace (i.e. ``np.funcname``).
+
+    """
+
+    def __init__(self, funcname):
+        self.__name__ = funcname
+        self.__qualname__ = funcname
+        self.__doc__ = self.getdoc()
+
+    def getdoc(self):
+        """
+        Retrieve the docstring and signature from the function.
+
+        The ``__doc__`` attribute of the function is used as the docstring for
+        the new masked array version of the function. A note on application
+        of the function to the mask is appended.
+
+        Parameters
+        ----------
+        None
+
+        """
+        npfunc = getattr(np, self.__name__, None)
+        doc = getattr(npfunc, '__doc__', None)
+        if doc:
+            sig = ma.get_object_signature(npfunc)
+            doc = ma.doc_note(doc, "The function is applied to both the _data "
+                                   "and the _mask, if any.")
+            if sig:
+                sig = self.__name__ + sig + "\n\n"
+            return sig + doc
+        return
+
+    def __call__(self, *args, **params):
+        pass
+
+
+class _fromnxfunction_single(_fromnxfunction):
+    """
+    A version of `_fromnxfunction` that is called with a single array
+    argument followed by auxiliary args that are passed verbatim for
+    both the data and mask calls.
+    """
+    def __call__(self, x, *args, **params):
+        func = getattr(np, self.__name__)
+        if isinstance(x, ndarray):
+            _d = func(x.__array__(), *args, **params)
+            _m = func(getmaskarray(x), *args, **params)
+            return masked_array(_d, mask=_m)
+        else:
+            _d = func(np.asarray(x), *args, **params)
+            _m = func(getmaskarray(x), *args, **params)
+            return masked_array(_d, mask=_m)
+
+
+class _fromnxfunction_seq(_fromnxfunction):
+    """
+    A version of `_fromnxfunction` that is called with a single sequence
+    of arrays followed by auxiliary args that are passed verbatim for
+    both the data and mask calls.
+    """
+    def __call__(self, x, *args, **params):
+        func = getattr(np, self.__name__)
+        _d = func(tuple([np.asarray(a) for a in x]), *args, **params)
+        _m = func(tuple([getmaskarray(a) for a in x]), *args, **params)
+        return masked_array(_d, mask=_m)
+
+
+class _fromnxfunction_args(_fromnxfunction):
+    """
+    A version of `_fromnxfunction` that is called with multiple array
+    arguments. The first non-array-like input marks the beginning of the
+    arguments that are passed verbatim for both the data and mask calls.
+    Array arguments are processed independently and the results are
+    returned in a list. If only one array is found, the return value is
+    just the processed array instead of a list.
+    """
+    def __call__(self, *args, **params):
+        func = getattr(np, self.__name__)
+        arrays = []
+        args = list(args)
+        while len(args) > 0 and issequence(args[0]):
+            arrays.append(args.pop(0))
+        res = []
+        for x in arrays:
+            _d = func(np.asarray(x), *args, **params)
+            _m = func(getmaskarray(x), *args, **params)
+            res.append(masked_array(_d, mask=_m))
+        if len(arrays) == 1:
+            return res[0]
+        return res
+
+
+class _fromnxfunction_allargs(_fromnxfunction):
+    """
+    A version of `_fromnxfunction` that is called with multiple array
+    arguments. Similar to `_fromnxfunction_args` except that all args
+    are converted to arrays even if they are not so already. This makes
+    it possible to process scalars as 1-D arrays. Only keyword arguments
+    are passed through verbatim for the data and mask calls. Arrays
+    arguments are processed independently and the results are returned
+    in a list. If only one arg is present, the return value is just the
+    processed array instead of a list.
+    """
+    def __call__(self, *args, **params):
+        func = getattr(np, self.__name__)
+        res = []
+        for x in args:
+            _d = func(np.asarray(x), **params)
+            _m = func(getmaskarray(x), **params)
+            res.append(masked_array(_d, mask=_m))
+        if len(args) == 1:
+            return res[0]
+        return res
+
+
+atleast_1d = _fromnxfunction_allargs('atleast_1d')
+atleast_2d = _fromnxfunction_allargs('atleast_2d')
+atleast_3d = _fromnxfunction_allargs('atleast_3d')
+
+vstack = row_stack = _fromnxfunction_seq('vstack')
+hstack = _fromnxfunction_seq('hstack')
+column_stack = _fromnxfunction_seq('column_stack')
+dstack = _fromnxfunction_seq('dstack')
+stack = _fromnxfunction_seq('stack')
+
+hsplit = _fromnxfunction_single('hsplit')
+
+diagflat = _fromnxfunction_single('diagflat')
+
+
+#####--------------------------------------------------------------------------
+#----
+#####--------------------------------------------------------------------------
+def flatten_inplace(seq):
+    """Flatten a sequence in place."""
+    k = 0
+    while (k != len(seq)):
+        while hasattr(seq[k], '__iter__'):
+            seq[k:(k + 1)] = seq[k]
+        k += 1
+    return seq
+
+
+def apply_along_axis(func1d, axis, arr, *args, **kwargs):
+    """
+    (This docstring should be overwritten)
+    """
+    arr = array(arr, copy=False, subok=True)
+    nd = arr.ndim
+    axis = normalize_axis_index(axis, nd)
+    ind = [0] * (nd - 1)
+    i = np.zeros(nd, 'O')
+    indlist = list(range(nd))
+    indlist.remove(axis)
+    i[axis] = slice(None, None)
+    outshape = np.asarray(arr.shape).take(indlist)
+    i.put(indlist, ind)
+    res = func1d(arr[tuple(i.tolist())], *args, **kwargs)
+    #  if res is a number, then we have a smaller output array
+    asscalar = np.isscalar(res)
+    if not asscalar:
+        try:
+            len(res)
+        except TypeError:
+            asscalar = True
+    # Note: we shouldn't set the dtype of the output from the first result
+    # so we force the type to object, and build a list of dtypes.  We'll
+    # just take the largest, to avoid some downcasting
+    dtypes = []
+    if asscalar:
+        dtypes.append(np.asarray(res).dtype)
+        outarr = zeros(outshape, object)
+        outarr[tuple(ind)] = res
+        Ntot = np.prod(outshape)
+        k = 1
+        while k < Ntot:
+            # increment the index
+            ind[-1] += 1
+            n = -1
+            while (ind[n] >= outshape[n]) and (n > (1 - nd)):
+                ind[n - 1] += 1
+                ind[n] = 0
+                n -= 1
+            i.put(indlist, ind)
+            res = func1d(arr[tuple(i.tolist())], *args, **kwargs)
+            outarr[tuple(ind)] = res
+            dtypes.append(asarray(res).dtype)
+            k += 1
+    else:
+        res = array(res, copy=False, subok=True)
+        j = i.copy()
+        j[axis] = ([slice(None, None)] * res.ndim)
+        j.put(indlist, ind)
+        Ntot = np.prod(outshape)
+        holdshape = outshape
+        outshape = list(arr.shape)
+        outshape[axis] = res.shape
+        dtypes.append(asarray(res).dtype)
+        outshape = flatten_inplace(outshape)
+        outarr = zeros(outshape, object)
+        outarr[tuple(flatten_inplace(j.tolist()))] = res
+        k = 1
+        while k < Ntot:
+            # increment the index
+            ind[-1] += 1
+            n = -1
+            while (ind[n] >= holdshape[n]) and (n > (1 - nd)):
+                ind[n - 1] += 1
+                ind[n] = 0
+                n -= 1
+            i.put(indlist, ind)
+            j.put(indlist, ind)
+            res = func1d(arr[tuple(i.tolist())], *args, **kwargs)
+            outarr[tuple(flatten_inplace(j.tolist()))] = res
+            dtypes.append(asarray(res).dtype)
+            k += 1
+    max_dtypes = np.dtype(np.asarray(dtypes).max())
+    if not hasattr(arr, '_mask'):
+        result = np.asarray(outarr, dtype=max_dtypes)
+    else:
+        result = asarray(outarr, dtype=max_dtypes)
+        result.fill_value = ma.default_fill_value(result)
+    return result
+apply_along_axis.__doc__ = np.apply_along_axis.__doc__
+
+
+def apply_over_axes(func, a, axes):
+    """
+    (This docstring will be overwritten)
+    """
+    val = asarray(a)
+    N = a.ndim
+    if array(axes).ndim == 0:
+        axes = (axes,)
+    for axis in axes:
+        if axis < 0:
+            axis = N + axis
+        args = (val, axis)
+        res = func(*args)
+        if res.ndim == val.ndim:
+            val = res
+        else:
+            res = ma.expand_dims(res, axis)
+            if res.ndim == val.ndim:
+                val = res
+            else:
+                raise ValueError("function is not returning "
+                        "an array of the correct shape")
+    return val
+
+
+if apply_over_axes.__doc__ is not None:
+    apply_over_axes.__doc__ = np.apply_over_axes.__doc__[
+        :np.apply_over_axes.__doc__.find('Notes')].rstrip() + \
+    """
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.arange(24).reshape(2,3,4)
+    >>> a[:,0,1] = np.ma.masked
+    >>> a[:,1,:] = np.ma.masked
+    >>> a
+    masked_array(
+      data=[[[0, --, 2, 3],
+             [--, --, --, --],
+             [8, 9, 10, 11]],
+            [[12, --, 14, 15],
+             [--, --, --, --],
+             [20, 21, 22, 23]]],
+      mask=[[[False,  True, False, False],
+             [ True,  True,  True,  True],
+             [False, False, False, False]],
+            [[False,  True, False, False],
+             [ True,  True,  True,  True],
+             [False, False, False, False]]],
+      fill_value=999999)
+    >>> np.ma.apply_over_axes(np.ma.sum, a, [0,2])
+    masked_array(
+      data=[[[46],
+             [--],
+             [124]]],
+      mask=[[[False],
+             [ True],
+             [False]]],
+      fill_value=999999)
+
+    Tuple axis arguments to ufuncs are equivalent:
+
+    >>> np.ma.sum(a, axis=(0,2)).reshape((1,-1,1))
+    masked_array(
+      data=[[[46],
+             [--],
+             [124]]],
+      mask=[[[False],
+             [ True],
+             [False]]],
+      fill_value=999999)
+    """
+
+
+def average(a, axis=None, weights=None, returned=False, *,
+            keepdims=np._NoValue):
+    """
+    Return the weighted average of array over the given axis.
+
+    Parameters
+    ----------
+    a : array_like
+        Data to be averaged.
+        Masked entries are not taken into account in the computation.
+    axis : None or int or tuple of ints, optional
+        Axis or axes along which to average `a`.  The default,
+        `axis=None`, will average over all of the elements of the input array.
+        If axis is a tuple of ints, averaging is performed on all of the axes
+        specified in the tuple instead of a single axis or all the axes as
+        before.
+    weights : array_like, optional
+        An array of weights associated with the values in `a`. Each value in
+        `a` contributes to the average according to its associated weight.
+        The array of weights must be the same shape as `a` if no axis is
+        specified, otherwise the weights must have dimensions and shape
+        consistent with `a` along the specified axis.
+        If `weights=None`, then all data in `a` are assumed to have a
+        weight equal to one.
+        The calculation is::
+
+            avg = sum(a * weights) / sum(weights)
+
+        where the sum is over all included elements.
+        The only constraint on the values of `weights` is that `sum(weights)`
+        must not be 0.
+    returned : bool, optional
+        Flag indicating whether a tuple ``(result, sum of weights)``
+        should be returned as output (True), or just the result (False).
+        Default is False.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the original `a`.
+        *Note:* `keepdims` will not work with instances of `numpy.matrix`
+        or other classes whose methods do not support `keepdims`.
+
+        .. versionadded:: 1.23.0
+
+    Returns
+    -------
+    average, [sum_of_weights] : (tuple of) scalar or MaskedArray
+        The average along the specified axis. When returned is `True`,
+        return a tuple with the average as the first element and the sum
+        of the weights as the second element. The return type is `np.float64`
+        if `a` is of integer type and floats smaller than `float64`, or the
+        input data-type, otherwise. If returned, `sum_of_weights` is always
+        `float64`.
+
+    Raises
+    ------
+    ZeroDivisionError
+        When all weights along axis are zero. See `numpy.ma.average` for a
+        version robust to this type of error.
+    TypeError
+        When `weights` does not have the same shape as `a`, and `axis=None`.
+    ValueError
+        When `weights` does not have dimensions and shape consistent with `a`
+        along specified `axis`.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.array([1., 2., 3., 4.], mask=[False, False, True, True])
+    >>> np.ma.average(a, weights=[3, 1, 0, 0])
+    1.25
+
+    >>> x = np.ma.arange(6.).reshape(3, 2)
+    >>> x
+    masked_array(
+      data=[[0., 1.],
+            [2., 3.],
+            [4., 5.]],
+      mask=False,
+      fill_value=1e+20)
+    >>> data = np.arange(8).reshape((2, 2, 2))
+    >>> data
+    array([[[0, 1],
+            [2, 3]],
+           [[4, 5],
+            [6, 7]]])
+    >>> np.ma.average(data, axis=(0, 1), weights=[[1./4, 3./4], [1., 1./2]])
+    masked_array(data=[3.4, 4.4],
+             mask=[False, False],
+       fill_value=1e+20)
+    >>> np.ma.average(data, axis=0, weights=[[1./4, 3./4], [1., 1./2]])
+    Traceback (most recent call last):
+        ...
+    ValueError: Shape of weights must be consistent
+    with shape of a along specified axis.
+
+    >>> avg, sumweights = np.ma.average(x, axis=0, weights=[1, 2, 3],
+    ...                                 returned=True)
+    >>> avg
+    masked_array(data=[2.6666666666666665, 3.6666666666666665],
+                 mask=[False, False],
+           fill_value=1e+20)
+
+    With ``keepdims=True``, the following result has shape (3, 1).
+
+    >>> np.ma.average(x, axis=1, keepdims=True)
+    masked_array(
+      data=[[0.5],
+            [2.5],
+            [4.5]],
+      mask=False,
+      fill_value=1e+20)
+    """
+    a = asarray(a)
+    m = getmask(a)
+
+    if axis is not None:
+        axis = normalize_axis_tuple(axis, a.ndim, argname="axis")
+
+    if keepdims is np._NoValue:
+        # Don't pass on the keepdims argument if one wasn't given.
+        keepdims_kw = {}
+    else:
+        keepdims_kw = {'keepdims': keepdims}
+
+    if weights is None:
+        avg = a.mean(axis, **keepdims_kw)
+        scl = avg.dtype.type(a.count(axis))
+    else:
+        wgt = asarray(weights)
+
+        if issubclass(a.dtype.type, (np.integer, np.bool)):
+            result_dtype = np.result_type(a.dtype, wgt.dtype, 'f8')
+        else:
+            result_dtype = np.result_type(a.dtype, wgt.dtype)
+
+        # Sanity checks
+        if a.shape != wgt.shape:
+            if axis is None:
+                raise TypeError(
+                    "Axis must be specified when shapes of a and weights "
+                    "differ.")
+            if wgt.shape != tuple(a.shape[ax] for ax in axis):
+                raise ValueError(
+                    "Shape of weights must be consistent with "
+                    "shape of a along specified axis.")
+
+            # setup wgt to broadcast along axis
+            wgt = wgt.transpose(np.argsort(axis))
+            wgt = wgt.reshape(tuple((s if ax in axis else 1)
+                                    for ax, s in enumerate(a.shape)))
+
+        if m is not nomask:
+            wgt = wgt*(~a.mask)
+            wgt.mask |= a.mask
+
+        scl = wgt.sum(axis=axis, dtype=result_dtype, **keepdims_kw)
+        avg = np.multiply(a, wgt,
+                          dtype=result_dtype).sum(axis, **keepdims_kw) / scl
+
+    if returned:
+        if scl.shape != avg.shape:
+            scl = np.broadcast_to(scl, avg.shape).copy()
+        return avg, scl
+    else:
+        return avg
+
+
+def median(a, axis=None, out=None, overwrite_input=False, keepdims=False):
+    """
+    Compute the median along the specified axis.
+
+    Returns the median of the array elements.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array or object that can be converted to an array.
+    axis : int, optional
+        Axis along which the medians are computed. The default (None) is
+        to compute the median along a flattened version of the array.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output
+        but the type will be cast if necessary.
+    overwrite_input : bool, optional
+        If True, then allow use of memory of input array (a) for
+        calculations. The input array will be modified by the call to
+        median. This will save memory when you do not need to preserve
+        the contents of the input array. Treat the input as undefined,
+        but it will probably be fully or partially sorted. Default is
+        False. Note that, if `overwrite_input` is True, and the input
+        is not already an `ndarray`, an error will be raised.
+    keepdims : bool, optional
+        If this is set to True, the axes which are reduced are left
+        in the result as dimensions with size one. With this option,
+        the result will broadcast correctly against the input array.
+
+    Returns
+    -------
+    median : ndarray
+        A new array holding the result is returned unless out is
+        specified, in which case a reference to out is returned.
+        Return data-type is `float64` for integers and floats smaller than
+        `float64`, or the input data-type, otherwise.
+
+    See Also
+    --------
+    mean
+
+    Notes
+    -----
+    Given a vector ``V`` with ``N`` non masked values, the median of ``V``
+    is the middle value of a sorted copy of ``V`` (``Vs``) - i.e.
+    ``Vs[(N-1)/2]``, when ``N`` is odd, or ``{Vs[N/2 - 1] + Vs[N/2]}/2``
+    when ``N`` is even.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array(np.arange(8), mask=[0]*4 + [1]*4)
+    >>> np.ma.median(x)
+    1.5
+
+    >>> x = np.ma.array(np.arange(10).reshape(2, 5), mask=[0]*6 + [1]*4)
+    >>> np.ma.median(x)
+    2.5
+    >>> np.ma.median(x, axis=-1, overwrite_input=True)
+    masked_array(data=[2.0, 5.0],
+                 mask=[False, False],
+           fill_value=1e+20)
+
+    """
+    if not hasattr(a, 'mask'):
+        m = np.median(getdata(a, subok=True), axis=axis,
+                      out=out, overwrite_input=overwrite_input,
+                      keepdims=keepdims)
+        if isinstance(m, np.ndarray) and 1 <= m.ndim:
+            return masked_array(m, copy=False)
+        else:
+            return m
+
+    return _ureduce(a, func=_median, keepdims=keepdims, axis=axis, out=out,
+                    overwrite_input=overwrite_input)
+
+
+def _median(a, axis=None, out=None, overwrite_input=False):
+    # when an unmasked NaN is present return it, so we need to sort the NaN
+    # values behind the mask
+    if np.issubdtype(a.dtype, np.inexact):
+        fill_value = np.inf
+    else:
+        fill_value = None
+    if overwrite_input:
+        if axis is None:
+            asorted = a.ravel()
+            asorted.sort(fill_value=fill_value)
+        else:
+            a.sort(axis=axis, fill_value=fill_value)
+            asorted = a
+    else:
+        asorted = sort(a, axis=axis, fill_value=fill_value)
+
+    if axis is None:
+        axis = 0
+    else:
+        axis = normalize_axis_index(axis, asorted.ndim)
+
+    if asorted.shape[axis] == 0:
+        # for empty axis integer indices fail so use slicing to get same result
+        # as median (which is mean of empty slice = nan)
+        indexer = [slice(None)] * asorted.ndim
+        indexer[axis] = slice(0, 0)
+        indexer = tuple(indexer)
+        return np.ma.mean(asorted[indexer], axis=axis, out=out)
+
+    if asorted.ndim == 1:
+        idx, odd = divmod(count(asorted), 2)
+        mid = asorted[idx + odd - 1:idx + 1]
+        if np.issubdtype(asorted.dtype, np.inexact) and asorted.size > 0:
+            # avoid inf / x = masked
+            s = mid.sum(out=out)
+            if not odd:
+                s = np.true_divide(s, 2., casting='safe', out=out)
+            s = np.lib._utils_impl._median_nancheck(asorted, s, axis)
+        else:
+            s = mid.mean(out=out)
+
+        # if result is masked either the input contained enough
+        # minimum_fill_value so that it would be the median or all values
+        # masked
+        if np.ma.is_masked(s) and not np.all(asorted.mask):
+            return np.ma.minimum_fill_value(asorted)
+        return s
+
+    counts = count(asorted, axis=axis, keepdims=True)
+    h = counts // 2
+
+    # duplicate high if odd number of elements so mean does nothing
+    odd = counts % 2 == 1
+    l = np.where(odd, h, h-1)
+
+    lh = np.concatenate([l,h], axis=axis)
+
+    # get low and high median
+    low_high = np.take_along_axis(asorted, lh, axis=axis)
+
+    def replace_masked(s):
+        # Replace masked entries with minimum_full_value unless it all values
+        # are masked. This is required as the sort order of values equal or
+        # larger than the fill value is undefined and a valid value placed
+        # elsewhere, e.g. [4, --, inf].
+        if np.ma.is_masked(s):
+            rep = (~np.all(asorted.mask, axis=axis, keepdims=True)) & s.mask
+            s.data[rep] = np.ma.minimum_fill_value(asorted)
+            s.mask[rep] = False
+
+    replace_masked(low_high)
+
+    if np.issubdtype(asorted.dtype, np.inexact):
+        # avoid inf / x = masked
+        s = np.ma.sum(low_high, axis=axis, out=out)
+        np.true_divide(s.data, 2., casting='unsafe', out=s.data)
+
+        s = np.lib._utils_impl._median_nancheck(asorted, s, axis)
+    else:
+        s = np.ma.mean(low_high, axis=axis, out=out)
+
+    return s
+
+
+def compress_nd(x, axis=None):
+    """Suppress slices from multiple dimensions which contain masked values.
+
+    Parameters
+    ----------
+    x : array_like, MaskedArray
+        The array to operate on. If not a MaskedArray instance (or if no array
+        elements are masked), `x` is interpreted as a MaskedArray with `mask`
+        set to `nomask`.
+    axis : tuple of ints or int, optional
+        Which dimensions to suppress slices from can be configured with this
+        parameter.
+        - If axis is a tuple of ints, those are the axes to suppress slices from.
+        - If axis is an int, then that is the only axis to suppress slices from.
+        - If axis is None, all axis are selected.
+
+    Returns
+    -------
+    compress_array : ndarray
+        The compressed array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = [[1, 2], [3, 4]]
+    >>> mask = [[0, 1], [0, 0]]
+    >>> x = np.ma.array(arr, mask=mask)
+    >>> np.ma.compress_nd(x, axis=0)
+    array([[3, 4]])
+    >>> np.ma.compress_nd(x, axis=1)
+    array([[1],
+           [3]])
+    >>> np.ma.compress_nd(x)
+    array([[3]])
+
+    """
+    x = asarray(x)
+    m = getmask(x)
+    # Set axis to tuple of ints
+    if axis is None:
+        axis = tuple(range(x.ndim))
+    else:
+        axis = normalize_axis_tuple(axis, x.ndim)
+
+    # Nothing is masked: return x
+    if m is nomask or not m.any():
+        return x._data
+    # All is masked: return empty
+    if m.all():
+        return nxarray([])
+    # Filter elements through boolean indexing
+    data = x._data
+    for ax in axis:
+        axes = tuple(list(range(ax)) + list(range(ax + 1, x.ndim)))
+        data = data[(slice(None),)*ax + (~m.any(axis=axes),)]
+    return data
+
+
+def compress_rowcols(x, axis=None):
+    """
+    Suppress the rows and/or columns of a 2-D array that contain
+    masked values.
+
+    The suppression behavior is selected with the `axis` parameter.
+
+    - If axis is None, both rows and columns are suppressed.
+    - If axis is 0, only rows are suppressed.
+    - If axis is 1 or -1, only columns are suppressed.
+
+    Parameters
+    ----------
+    x : array_like, MaskedArray
+        The array to operate on.  If not a MaskedArray instance (or if no array
+        elements are masked), `x` is interpreted as a MaskedArray with
+        `mask` set to `nomask`. Must be a 2D array.
+    axis : int, optional
+        Axis along which to perform the operation. Default is None.
+
+    Returns
+    -------
+    compressed_array : ndarray
+        The compressed array.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array(np.arange(9).reshape(3, 3), mask=[[1, 0, 0],
+    ...                                                   [1, 0, 0],
+    ...                                                   [0, 0, 0]])
+    >>> x
+    masked_array(
+      data=[[--, 1, 2],
+            [--, 4, 5],
+            [6, 7, 8]],
+      mask=[[ True, False, False],
+            [ True, False, False],
+            [False, False, False]],
+      fill_value=999999)
+
+    >>> np.ma.compress_rowcols(x)
+    array([[7, 8]])
+    >>> np.ma.compress_rowcols(x, 0)
+    array([[6, 7, 8]])
+    >>> np.ma.compress_rowcols(x, 1)
+    array([[1, 2],
+           [4, 5],
+           [7, 8]])
+
+    """
+    if asarray(x).ndim != 2:
+        raise NotImplementedError("compress_rowcols works for 2D arrays only.")
+    return compress_nd(x, axis=axis)
+
+
+def compress_rows(a):
+    """
+    Suppress whole rows of a 2-D array that contain masked values.
+
+    This is equivalent to ``np.ma.compress_rowcols(a, 0)``, see
+    `compress_rowcols` for details.
+
+    Parameters
+    ----------
+    x : array_like, MaskedArray
+        The array to operate on. If not a MaskedArray instance (or if no array
+        elements are masked), `x` is interpreted as a MaskedArray with
+        `mask` set to `nomask`. Must be a 2D array.
+
+    Returns
+    -------
+    compressed_array : ndarray
+        The compressed array.
+
+    See Also
+    --------
+    compress_rowcols
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.array(np.arange(9).reshape(3, 3), mask=[[1, 0, 0],
+    ...                                                   [1, 0, 0],
+    ...                                                   [0, 0, 0]])
+    >>> np.ma.compress_rows(a)
+    array([[6, 7, 8]])
+
+    """
+    a = asarray(a)
+    if a.ndim != 2:
+        raise NotImplementedError("compress_rows works for 2D arrays only.")
+    return compress_rowcols(a, 0)
+
+
+def compress_cols(a):
+    """
+    Suppress whole columns of a 2-D array that contain masked values.
+
+    This is equivalent to ``np.ma.compress_rowcols(a, 1)``, see
+    `compress_rowcols` for details.
+
+    Parameters
+    ----------
+    x : array_like, MaskedArray
+        The array to operate on.  If not a MaskedArray instance (or if no array
+        elements are masked), `x` is interpreted as a MaskedArray with
+        `mask` set to `nomask`. Must be a 2D array.
+
+    Returns
+    -------
+    compressed_array : ndarray
+        The compressed array.
+
+    See Also
+    --------
+    compress_rowcols
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.array(np.arange(9).reshape(3, 3), mask=[[1, 0, 0],
+    ...                                                   [1, 0, 0],
+    ...                                                   [0, 0, 0]])
+    >>> np.ma.compress_cols(a)
+    array([[1, 2],
+           [4, 5],
+           [7, 8]])
+
+    """
+    a = asarray(a)
+    if a.ndim != 2:
+        raise NotImplementedError("compress_cols works for 2D arrays only.")
+    return compress_rowcols(a, 1)
+
+
+def mask_rowcols(a, axis=None):
+    """
+    Mask rows and/or columns of a 2D array that contain masked values.
+
+    Mask whole rows and/or columns of a 2D array that contain
+    masked values.  The masking behavior is selected using the
+    `axis` parameter.
+
+      - If `axis` is None, rows *and* columns are masked.
+      - If `axis` is 0, only rows are masked.
+      - If `axis` is 1 or -1, only columns are masked.
+
+    Parameters
+    ----------
+    a : array_like, MaskedArray
+        The array to mask.  If not a MaskedArray instance (or if no array
+        elements are masked), the result is a MaskedArray with `mask` set
+        to `nomask` (False). Must be a 2D array.
+    axis : int, optional
+        Axis along which to perform the operation. If None, applies to a
+        flattened version of the array.
+
+    Returns
+    -------
+    a : MaskedArray
+        A modified version of the input array, masked depending on the value
+        of the `axis` parameter.
+
+    Raises
+    ------
+    NotImplementedError
+        If input array `a` is not 2D.
+
+    See Also
+    --------
+    mask_rows : Mask rows of a 2D array that contain masked values.
+    mask_cols : Mask cols of a 2D array that contain masked values.
+    masked_where : Mask where a condition is met.
+
+    Notes
+    -----
+    The input array's mask is modified by this function.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.zeros((3, 3), dtype=int)
+    >>> a[1, 1] = 1
+    >>> a
+    array([[0, 0, 0],
+           [0, 1, 0],
+           [0, 0, 0]])
+    >>> a = np.ma.masked_equal(a, 1)
+    >>> a
+    masked_array(
+      data=[[0, 0, 0],
+            [0, --, 0],
+            [0, 0, 0]],
+      mask=[[False, False, False],
+            [False,  True, False],
+            [False, False, False]],
+      fill_value=1)
+    >>> np.ma.mask_rowcols(a)
+    masked_array(
+      data=[[0, --, 0],
+            [--, --, --],
+            [0, --, 0]],
+      mask=[[False,  True, False],
+            [ True,  True,  True],
+            [False,  True, False]],
+      fill_value=1)
+
+    """
+    a = array(a, subok=False)
+    if a.ndim != 2:
+        raise NotImplementedError("mask_rowcols works for 2D arrays only.")
+    m = getmask(a)
+    # Nothing is masked: return a
+    if m is nomask or not m.any():
+        return a
+    maskedval = m.nonzero()
+    a._mask = a._mask.copy()
+    if not axis:
+        a[np.unique(maskedval[0])] = masked
+    if axis in [None, 1, -1]:
+        a[:, np.unique(maskedval[1])] = masked
+    return a
+
+
+def mask_rows(a, axis=np._NoValue):
+    """
+    Mask rows of a 2D array that contain masked values.
+
+    This function is a shortcut to ``mask_rowcols`` with `axis` equal to 0.
+
+    See Also
+    --------
+    mask_rowcols : Mask rows and/or columns of a 2D array.
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.zeros((3, 3), dtype=int)
+    >>> a[1, 1] = 1
+    >>> a
+    array([[0, 0, 0],
+           [0, 1, 0],
+           [0, 0, 0]])
+    >>> a = np.ma.masked_equal(a, 1)
+    >>> a
+    masked_array(
+      data=[[0, 0, 0],
+            [0, --, 0],
+            [0, 0, 0]],
+      mask=[[False, False, False],
+            [False,  True, False],
+            [False, False, False]],
+      fill_value=1)
+
+    >>> np.ma.mask_rows(a)
+    masked_array(
+      data=[[0, 0, 0],
+            [--, --, --],
+            [0, 0, 0]],
+      mask=[[False, False, False],
+            [ True,  True,  True],
+            [False, False, False]],
+      fill_value=1)
+
+    """
+    if axis is not np._NoValue:
+        # remove the axis argument when this deprecation expires
+        # NumPy 1.18.0, 2019-11-28
+        warnings.warn(
+            "The axis argument has always been ignored, in future passing it "
+            "will raise TypeError", DeprecationWarning, stacklevel=2)
+    return mask_rowcols(a, 0)
+
+
+def mask_cols(a, axis=np._NoValue):
+    """
+    Mask columns of a 2D array that contain masked values.
+
+    This function is a shortcut to ``mask_rowcols`` with `axis` equal to 1.
+
+    See Also
+    --------
+    mask_rowcols : Mask rows and/or columns of a 2D array.
+    masked_where : Mask where a condition is met.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.zeros((3, 3), dtype=int)
+    >>> a[1, 1] = 1
+    >>> a
+    array([[0, 0, 0],
+           [0, 1, 0],
+           [0, 0, 0]])
+    >>> a = np.ma.masked_equal(a, 1)
+    >>> a
+    masked_array(
+      data=[[0, 0, 0],
+            [0, --, 0],
+            [0, 0, 0]],
+      mask=[[False, False, False],
+            [False,  True, False],
+            [False, False, False]],
+      fill_value=1)
+    >>> np.ma.mask_cols(a)
+    masked_array(
+      data=[[0, --, 0],
+            [0, --, 0],
+            [0, --, 0]],
+      mask=[[False,  True, False],
+            [False,  True, False],
+            [False,  True, False]],
+      fill_value=1)
+
+    """
+    if axis is not np._NoValue:
+        # remove the axis argument when this deprecation expires
+        # NumPy 1.18.0, 2019-11-28
+        warnings.warn(
+            "The axis argument has always been ignored, in future passing it "
+            "will raise TypeError", DeprecationWarning, stacklevel=2)
+    return mask_rowcols(a, 1)
+
+
+#####--------------------------------------------------------------------------
+#---- --- arraysetops ---
+#####--------------------------------------------------------------------------
+
+def ediff1d(arr, to_end=None, to_begin=None):
+    """
+    Compute the differences between consecutive elements of an array.
+
+    This function is the equivalent of `numpy.ediff1d` that takes masked
+    values into account, see `numpy.ediff1d` for details.
+
+    See Also
+    --------
+    numpy.ediff1d : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> arr = np.ma.array([1, 2, 4, 7, 0])
+    >>> np.ma.ediff1d(arr)
+    masked_array(data=[ 1,  2,  3, -7],
+                 mask=False,
+           fill_value=999999)
+
+    """
+    arr = ma.asanyarray(arr).flat
+    ed = arr[1:] - arr[:-1]
+    arrays = [ed]
+    #
+    if to_begin is not None:
+        arrays.insert(0, to_begin)
+    if to_end is not None:
+        arrays.append(to_end)
+    #
+    if len(arrays) != 1:
+        # We'll save ourselves a copy of a potentially large array in the common
+        # case where neither to_begin or to_end was given.
+        ed = hstack(arrays)
+    #
+    return ed
+
+
+def unique(ar1, return_index=False, return_inverse=False):
+    """
+    Finds the unique elements of an array.
+
+    Masked values are considered the same element (masked). The output array
+    is always a masked array. See `numpy.unique` for more details.
+
+    See Also
+    --------
+    numpy.unique : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = [1, 2, 1000, 2, 3]
+    >>> mask = [0, 0, 1, 0, 0]
+    >>> masked_a = np.ma.masked_array(a, mask)
+    >>> masked_a
+    masked_array(data=[1, 2, --, 2, 3],
+                mask=[False, False,  True, False, False],
+        fill_value=999999)
+    >>> np.ma.unique(masked_a)
+    masked_array(data=[1, 2, 3, --],
+                mask=[False, False, False,  True],
+        fill_value=999999)
+    >>> np.ma.unique(masked_a, return_index=True)
+    (masked_array(data=[1, 2, 3, --],
+                mask=[False, False, False,  True],
+        fill_value=999999), array([0, 1, 4, 2]))
+    >>> np.ma.unique(masked_a, return_inverse=True)
+    (masked_array(data=[1, 2, 3, --],
+                mask=[False, False, False,  True],
+        fill_value=999999), array([0, 1, 3, 1, 2]))
+    >>> np.ma.unique(masked_a, return_index=True, return_inverse=True)
+    (masked_array(data=[1, 2, 3, --],
+                mask=[False, False, False,  True],
+        fill_value=999999), array([0, 1, 4, 2]), array([0, 1, 3, 1, 2]))
+    """
+    output = np.unique(ar1,
+                       return_index=return_index,
+                       return_inverse=return_inverse)
+    if isinstance(output, tuple):
+        output = list(output)
+        output[0] = output[0].view(MaskedArray)
+        output = tuple(output)
+    else:
+        output = output.view(MaskedArray)
+    return output
+
+
+def intersect1d(ar1, ar2, assume_unique=False):
+    """
+    Returns the unique elements common to both arrays.
+
+    Masked values are considered equal one to the other.
+    The output is always a masked array.
+
+    See `numpy.intersect1d` for more details.
+
+    See Also
+    --------
+    numpy.intersect1d : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array([1, 3, 3, 3], mask=[0, 0, 0, 1])
+    >>> y = np.ma.array([3, 1, 1, 1], mask=[0, 0, 0, 1])
+    >>> np.ma.intersect1d(x, y)
+    masked_array(data=[1, 3, --],
+                 mask=[False, False,  True],
+           fill_value=999999)
+
+    """
+    if assume_unique:
+        aux = ma.concatenate((ar1, ar2))
+    else:
+        # Might be faster than unique( intersect1d( ar1, ar2 ) )?
+        aux = ma.concatenate((unique(ar1), unique(ar2)))
+    aux.sort()
+    return aux[:-1][aux[1:] == aux[:-1]]
+
+
+def setxor1d(ar1, ar2, assume_unique=False):
+    """
+    Set exclusive-or of 1-D arrays with unique elements.
+
+    The output is always a masked array. See `numpy.setxor1d` for more details.
+
+    See Also
+    --------
+    numpy.setxor1d : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> ar1 = np.ma.array([1, 2, 3, 2, 4])
+    >>> ar2 = np.ma.array([2, 3, 5, 7, 5])
+    >>> np.ma.setxor1d(ar1, ar2)
+    masked_array(data=[1, 4, 5, 7],
+                 mask=False,
+           fill_value=999999)
+
+    """
+    if not assume_unique:
+        ar1 = unique(ar1)
+        ar2 = unique(ar2)
+
+    aux = ma.concatenate((ar1, ar2), axis=None)
+    if aux.size == 0:
+        return aux
+    aux.sort()
+    auxf = aux.filled()
+#    flag = ediff1d( aux, to_end = 1, to_begin = 1 ) == 0
+    flag = ma.concatenate(([True], (auxf[1:] != auxf[:-1]), [True]))
+#    flag2 = ediff1d( flag ) == 0
+    flag2 = (flag[1:] == flag[:-1])
+    return aux[flag2]
+
+
+def in1d(ar1, ar2, assume_unique=False, invert=False):
+    """
+    Test whether each element of an array is also present in a second
+    array.
+
+    The output is always a masked array. See `numpy.in1d` for more details.
+
+    We recommend using :func:`isin` instead of `in1d` for new code.
+
+    See Also
+    --------
+    isin       : Version of this function that preserves the shape of ar1.
+    numpy.in1d : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> ar1 = np.ma.array([0, 1, 2, 5, 0])
+    >>> ar2 = [0, 2]
+    >>> np.ma.in1d(ar1, ar2)
+    masked_array(data=[ True, False,  True, False,  True],
+                 mask=False,
+           fill_value=True)
+
+    """
+    if not assume_unique:
+        ar1, rev_idx = unique(ar1, return_inverse=True)
+        ar2 = unique(ar2)
+
+    ar = ma.concatenate((ar1, ar2))
+    # We need this to be a stable sort, so always use 'mergesort'
+    # here. The values from the first array should always come before
+    # the values from the second array.
+    order = ar.argsort(kind='mergesort')
+    sar = ar[order]
+    if invert:
+        bool_ar = (sar[1:] != sar[:-1])
+    else:
+        bool_ar = (sar[1:] == sar[:-1])
+    flag = ma.concatenate((bool_ar, [invert]))
+    indx = order.argsort(kind='mergesort')[:len(ar1)]
+
+    if assume_unique:
+        return flag[indx]
+    else:
+        return flag[indx][rev_idx]
+
+
+def isin(element, test_elements, assume_unique=False, invert=False):
+    """
+    Calculates `element in test_elements`, broadcasting over
+    `element` only.
+
+    The output is always a masked array of the same shape as `element`.
+    See `numpy.isin` for more details.
+
+    See Also
+    --------
+    in1d       : Flattened version of this function.
+    numpy.isin : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> element = np.ma.array([1, 2, 3, 4, 5, 6])
+    >>> test_elements = [0, 2]
+    >>> np.ma.isin(element, test_elements)
+    masked_array(data=[False,  True, False, False, False, False],
+                 mask=False,
+           fill_value=True)
+
+    """
+    element = ma.asarray(element)
+    return in1d(element, test_elements, assume_unique=assume_unique,
+                invert=invert).reshape(element.shape)
+
+
+def union1d(ar1, ar2):
+    """
+    Union of two arrays.
+
+    The output is always a masked array. See `numpy.union1d` for more details.
+
+    See Also
+    --------
+    numpy.union1d : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> ar1 = np.ma.array([1, 2, 3, 4])
+    >>> ar2 = np.ma.array([3, 4, 5, 6])
+    >>> np.ma.union1d(ar1, ar2)
+    masked_array(data=[1, 2, 3, 4, 5, 6],
+             mask=False,
+       fill_value=999999)
+
+    """
+    return unique(ma.concatenate((ar1, ar2), axis=None))
+
+
+def setdiff1d(ar1, ar2, assume_unique=False):
+    """
+    Set difference of 1D arrays with unique elements.
+
+    The output is always a masked array. See `numpy.setdiff1d` for more
+    details.
+
+    See Also
+    --------
+    numpy.setdiff1d : Equivalent function for ndarrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array([1, 2, 3, 4], mask=[0, 1, 0, 1])
+    >>> np.ma.setdiff1d(x, [1, 2])
+    masked_array(data=[3, --],
+                 mask=[False,  True],
+           fill_value=999999)
+
+    """
+    if assume_unique:
+        ar1 = ma.asarray(ar1).ravel()
+    else:
+        ar1 = unique(ar1)
+        ar2 = unique(ar2)
+    return ar1[in1d(ar1, ar2, assume_unique=True, invert=True)]
+
+
+###############################################################################
+#                                Covariance                                   #
+###############################################################################
+
+
+def _covhelper(x, y=None, rowvar=True, allow_masked=True):
+    """
+    Private function for the computation of covariance and correlation
+    coefficients.
+
+    """
+    x = ma.array(x, ndmin=2, copy=True, dtype=float)
+    xmask = ma.getmaskarray(x)
+    # Quick exit if we can't process masked data
+    if not allow_masked and xmask.any():
+        raise ValueError("Cannot process masked data.")
+    #
+    if x.shape[0] == 1:
+        rowvar = True
+    # Make sure that rowvar is either 0 or 1
+    rowvar = int(bool(rowvar))
+    axis = 1 - rowvar
+    if rowvar:
+        tup = (slice(None), None)
+    else:
+        tup = (None, slice(None))
+    #
+    if y is None:
+        # Check if we can guarantee that the integers in the (N - ddof)
+        # normalisation can be accurately represented with single-precision
+        # before computing the dot product.
+        if x.shape[0] > 2 ** 24 or x.shape[1] > 2 ** 24:
+            xnm_dtype = np.float64
+        else:
+            xnm_dtype = np.float32
+        xnotmask = np.logical_not(xmask).astype(xnm_dtype)
+    else:
+        y = array(y, copy=False, ndmin=2, dtype=float)
+        ymask = ma.getmaskarray(y)
+        if not allow_masked and ymask.any():
+            raise ValueError("Cannot process masked data.")
+        if xmask.any() or ymask.any():
+            if y.shape == x.shape:
+                # Define some common mask
+                common_mask = np.logical_or(xmask, ymask)
+                if common_mask is not nomask:
+                    xmask = x._mask = y._mask = ymask = common_mask
+                    x._sharedmask = False
+                    y._sharedmask = False
+        x = ma.concatenate((x, y), axis)
+        # Check if we can guarantee that the integers in the (N - ddof)
+        # normalisation can be accurately represented with single-precision
+        # before computing the dot product.
+        if x.shape[0] > 2 ** 24 or x.shape[1] > 2 ** 24:
+            xnm_dtype = np.float64
+        else:
+            xnm_dtype = np.float32
+        xnotmask = np.logical_not(np.concatenate((xmask, ymask), axis)).astype(
+            xnm_dtype
+        )
+    x -= x.mean(axis=rowvar)[tup]
+    return (x, xnotmask, rowvar)
+
+
+def cov(x, y=None, rowvar=True, bias=False, allow_masked=True, ddof=None):
+    """
+    Estimate the covariance matrix.
+
+    Except for the handling of missing data this function does the same as
+    `numpy.cov`. For more details and examples, see `numpy.cov`.
+
+    By default, masked values are recognized as such. If `x` and `y` have the
+    same shape, a common mask is allocated: if ``x[i,j]`` is masked, then
+    ``y[i,j]`` will also be masked.
+    Setting `allow_masked` to False will raise an exception if values are
+    missing in either of the input arrays.
+
+    Parameters
+    ----------
+    x : array_like
+        A 1-D or 2-D array containing multiple variables and observations.
+        Each row of `x` represents a variable, and each column a single
+        observation of all those variables. Also see `rowvar` below.
+    y : array_like, optional
+        An additional set of variables and observations. `y` has the same
+        shape as `x`.
+    rowvar : bool, optional
+        If `rowvar` is True (default), then each row represents a
+        variable, with observations in the columns. Otherwise, the relationship
+        is transposed: each column represents a variable, while the rows
+        contain observations.
+    bias : bool, optional
+        Default normalization (False) is by ``(N-1)``, where ``N`` is the
+        number of observations given (unbiased estimate). If `bias` is True,
+        then normalization is by ``N``. This keyword can be overridden by
+        the keyword ``ddof`` in numpy versions >= 1.5.
+    allow_masked : bool, optional
+        If True, masked values are propagated pair-wise: if a value is masked
+        in `x`, the corresponding value is masked in `y`.
+        If False, raises a `ValueError` exception when some values are missing.
+    ddof : {None, int}, optional
+        If not ``None`` normalization is by ``(N - ddof)``, where ``N`` is
+        the number of observations; this overrides the value implied by
+        ``bias``. The default value is ``None``.
+
+    Raises
+    ------
+    ValueError
+        Raised if some values are missing and `allow_masked` is False.
+
+    See Also
+    --------
+    numpy.cov
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array([[0, 1], [1, 1]], mask=[0, 1, 0, 1])
+    >>> y = np.ma.array([[1, 0], [0, 1]], mask=[0, 0, 1, 1])
+    >>> np.ma.cov(x, y)
+    masked_array(
+    data=[[--, --, --, --],
+          [--, --, --, --],
+          [--, --, --, --],
+          [--, --, --, --]],
+    mask=[[ True,  True,  True,  True],
+          [ True,  True,  True,  True],
+          [ True,  True,  True,  True],
+          [ True,  True,  True,  True]],
+    fill_value=1e+20,
+    dtype=float64)
+
+    """
+    # Check inputs
+    if ddof is not None and ddof != int(ddof):
+        raise ValueError("ddof must be an integer")
+    # Set up ddof
+    if ddof is None:
+        if bias:
+            ddof = 0
+        else:
+            ddof = 1
+
+    (x, xnotmask, rowvar) = _covhelper(x, y, rowvar, allow_masked)
+    if not rowvar:
+        fact = np.dot(xnotmask.T, xnotmask) - ddof
+        mask = np.less_equal(fact, 0, dtype=bool)
+        with np.errstate(divide="ignore", invalid="ignore"):
+            data = np.dot(filled(x.T, 0), filled(x.conj(), 0)) / fact
+        result = ma.array(data, mask=mask).squeeze()
+    else:
+        fact = np.dot(xnotmask, xnotmask.T) - ddof
+        mask = np.less_equal(fact, 0, dtype=bool)
+        with np.errstate(divide="ignore", invalid="ignore"):
+            data = np.dot(filled(x, 0), filled(x.T.conj(), 0)) / fact
+        result = ma.array(data, mask=mask).squeeze()
+    return result
+
+
+def corrcoef(x, y=None, rowvar=True, bias=np._NoValue, allow_masked=True,
+             ddof=np._NoValue):
+    """
+    Return Pearson product-moment correlation coefficients.
+
+    Except for the handling of missing data this function does the same as
+    `numpy.corrcoef`. For more details and examples, see `numpy.corrcoef`.
+
+    Parameters
+    ----------
+    x : array_like
+        A 1-D or 2-D array containing multiple variables and observations.
+        Each row of `x` represents a variable, and each column a single
+        observation of all those variables. Also see `rowvar` below.
+    y : array_like, optional
+        An additional set of variables and observations. `y` has the same
+        shape as `x`.
+    rowvar : bool, optional
+        If `rowvar` is True (default), then each row represents a
+        variable, with observations in the columns. Otherwise, the relationship
+        is transposed: each column represents a variable, while the rows
+        contain observations.
+    bias : _NoValue, optional
+        Has no effect, do not use.
+
+        .. deprecated:: 1.10.0
+    allow_masked : bool, optional
+        If True, masked values are propagated pair-wise: if a value is masked
+        in `x`, the corresponding value is masked in `y`.
+        If False, raises an exception.  Because `bias` is deprecated, this
+        argument needs to be treated as keyword only to avoid a warning.
+    ddof : _NoValue, optional
+        Has no effect, do not use.
+
+        .. deprecated:: 1.10.0
+
+    See Also
+    --------
+    numpy.corrcoef : Equivalent function in top-level NumPy module.
+    cov : Estimate the covariance matrix.
+
+    Notes
+    -----
+    This function accepts but discards arguments `bias` and `ddof`.  This is
+    for backwards compatibility with previous versions of this function.  These
+    arguments had no effect on the return values of the function and can be
+    safely ignored in this and previous versions of numpy.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> x = np.ma.array([[0, 1], [1, 1]], mask=[0, 1, 0, 1])
+    >>> np.ma.corrcoef(x)
+    masked_array(
+      data=[[--, --],
+            [--, --]],
+      mask=[[ True,  True],
+            [ True,  True]],
+      fill_value=1e+20,
+      dtype=float64)
+
+    """
+    msg = 'bias and ddof have no effect and are deprecated'
+    if bias is not np._NoValue or ddof is not np._NoValue:
+        # 2015-03-15, 1.10
+        warnings.warn(msg, DeprecationWarning, stacklevel=2)
+    # Estimate the covariance matrix.
+    corr = cov(x, y, rowvar, allow_masked=allow_masked)
+    # The non-masked version returns a masked value for a scalar.
+    try:
+        std = ma.sqrt(ma.diagonal(corr))
+    except ValueError:
+        return ma.MaskedConstant()
+    corr /= ma.multiply.outer(std, std)
+    return corr
+
+#####--------------------------------------------------------------------------
+#---- --- Concatenation helpers ---
+#####--------------------------------------------------------------------------
+
+class MAxisConcatenator(AxisConcatenator):
+    """
+    Translate slice objects to concatenation along an axis.
+
+    For documentation on usage, see `mr_class`.
+
+    See Also
+    --------
+    mr_class
+
+    """
+    __slots__ = ()
+
+    concatenate = staticmethod(concatenate)
+
+    @classmethod
+    def makemat(cls, arr):
+        # There used to be a view as np.matrix here, but we may eventually
+        # deprecate that class. In preparation, we use the unmasked version
+        # to construct the matrix (with copy=False for backwards compatibility
+        # with the .view)
+        data = super().makemat(arr.data, copy=False)
+        return array(data, mask=arr.mask)
+
+    def __getitem__(self, key):
+        # matrix builder syntax, like 'a, b; c, d'
+        if isinstance(key, str):
+            raise MAError("Unavailable for masked array.")
+
+        return super().__getitem__(key)
+
+
+class mr_class(MAxisConcatenator):
+    """
+    Translate slice objects to concatenation along the first axis.
+
+    This is the masked array version of `r_`.
+
+    See Also
+    --------
+    r_
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> np.ma.mr_[np.ma.array([1,2,3]), 0, 0, np.ma.array([4,5,6])]
+    masked_array(data=[1, 2, 3, ..., 4, 5, 6],
+                 mask=False,
+           fill_value=999999)
+
+    """
+    __slots__ = ()
+
+    def __init__(self):
+        MAxisConcatenator.__init__(self, 0)
+
+mr_ = mr_class()
+
+
+#####--------------------------------------------------------------------------
+#---- Find unmasked data ---
+#####--------------------------------------------------------------------------
+
+def ndenumerate(a, compressed=True):
+    """
+    Multidimensional index iterator.
+
+    Return an iterator yielding pairs of array coordinates and values,
+    skipping elements that are masked. With `compressed=False`,
+    `ma.masked` is yielded as the value of masked elements. This
+    behavior differs from that of `numpy.ndenumerate`, which yields the
+    value of the underlying data array.
+
+    Notes
+    -----
+    .. versionadded:: 1.23.0
+
+    Parameters
+    ----------
+    a : array_like
+        An array with (possibly) masked elements.
+    compressed : bool, optional
+        If True (default), masked elements are skipped.
+
+    See Also
+    --------
+    numpy.ndenumerate : Equivalent function ignoring any mask.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.arange(9).reshape((3, 3))
+    >>> a[1, 0] = np.ma.masked
+    >>> a[1, 2] = np.ma.masked
+    >>> a[2, 1] = np.ma.masked
+    >>> a
+    masked_array(
+      data=[[0, 1, 2],
+            [--, 4, --],
+            [6, --, 8]],
+      mask=[[False, False, False],
+            [ True, False,  True],
+            [False,  True, False]],
+      fill_value=999999)
+    >>> for index, x in np.ma.ndenumerate(a):
+    ...     print(index, x)
+    (0, 0) 0
+    (0, 1) 1
+    (0, 2) 2
+    (1, 1) 4
+    (2, 0) 6
+    (2, 2) 8
+
+    >>> for index, x in np.ma.ndenumerate(a, compressed=False):
+    ...     print(index, x)
+    (0, 0) 0
+    (0, 1) 1
+    (0, 2) 2
+    (1, 0) --
+    (1, 1) 4
+    (1, 2) --
+    (2, 0) 6
+    (2, 1) --
+    (2, 2) 8
+    """
+    for it, mask in zip(np.ndenumerate(a), getmaskarray(a).flat):
+        if not mask:
+            yield it
+        elif not compressed:
+            yield it[0], masked
+
+
+def flatnotmasked_edges(a):
+    """
+    Find the indices of the first and last unmasked values.
+
+    Expects a 1-D `MaskedArray`, returns None if all values are masked.
+
+    Parameters
+    ----------
+    a : array_like
+        Input 1-D `MaskedArray`
+
+    Returns
+    -------
+    edges : ndarray or None
+        The indices of first and last non-masked value in the array.
+        Returns None if all values are masked.
+
+    See Also
+    --------
+    flatnotmasked_contiguous, notmasked_contiguous, notmasked_edges
+    clump_masked, clump_unmasked
+
+    Notes
+    -----
+    Only accepts 1-D arrays.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.arange(10)
+    >>> np.ma.flatnotmasked_edges(a)
+    array([0, 9])
+
+    >>> mask = (a < 3) | (a > 8) | (a == 5)
+    >>> a[mask] = np.ma.masked
+    >>> np.array(a[~a.mask])
+    array([3, 4, 6, 7, 8])
+
+    >>> np.ma.flatnotmasked_edges(a)
+    array([3, 8])
+
+    >>> a[:] = np.ma.masked
+    >>> print(np.ma.flatnotmasked_edges(a))
+    None
+
+    """
+    m = getmask(a)
+    if m is nomask or not np.any(m):
+        return np.array([0, a.size - 1])
+    unmasked = np.flatnonzero(~m)
+    if len(unmasked) > 0:
+        return unmasked[[0, -1]]
+    else:
+        return None
+
+
+def notmasked_edges(a, axis=None):
+    """
+    Find the indices of the first and last unmasked values along an axis.
+
+    If all values are masked, return None.  Otherwise, return a list
+    of two tuples, corresponding to the indices of the first and last
+    unmasked values respectively.
+
+    Parameters
+    ----------
+    a : array_like
+        The input array.
+    axis : int, optional
+        Axis along which to perform the operation.
+        If None (default), applies to a flattened version of the array.
+
+    Returns
+    -------
+    edges : ndarray or list
+        An array of start and end indexes if there are any masked data in
+        the array. If there are no masked data in the array, `edges` is a
+        list of the first and last index.
+
+    See Also
+    --------
+    flatnotmasked_contiguous, flatnotmasked_edges, notmasked_contiguous
+    clump_masked, clump_unmasked
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.arange(9).reshape((3, 3))
+    >>> m = np.zeros_like(a)
+    >>> m[1:, 1:] = 1
+
+    >>> am = np.ma.array(a, mask=m)
+    >>> np.array(am[~am.mask])
+    array([0, 1, 2, 3, 6])
+
+    >>> np.ma.notmasked_edges(am)
+    array([0, 6])
+
+    """
+    a = asarray(a)
+    if axis is None or a.ndim == 1:
+        return flatnotmasked_edges(a)
+    m = getmaskarray(a)
+    idx = array(np.indices(a.shape), mask=np.asarray([m] * a.ndim))
+    return [tuple([idx[i].min(axis).compressed() for i in range(a.ndim)]),
+            tuple([idx[i].max(axis).compressed() for i in range(a.ndim)]), ]
+
+
+def flatnotmasked_contiguous(a):
+    """
+    Find contiguous unmasked data in a masked array.
+
+    Parameters
+    ----------
+    a : array_like
+        The input array.
+
+    Returns
+    -------
+    slice_list : list
+        A sorted sequence of `slice` objects (start index, end index).
+
+    See Also
+    --------
+    flatnotmasked_edges, notmasked_contiguous, notmasked_edges
+    clump_masked, clump_unmasked
+
+    Notes
+    -----
+    Only accepts 2-D arrays at most.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.arange(10)
+    >>> np.ma.flatnotmasked_contiguous(a)
+    [slice(0, 10, None)]
+
+    >>> mask = (a < 3) | (a > 8) | (a == 5)
+    >>> a[mask] = np.ma.masked
+    >>> np.array(a[~a.mask])
+    array([3, 4, 6, 7, 8])
+
+    >>> np.ma.flatnotmasked_contiguous(a)
+    [slice(3, 5, None), slice(6, 9, None)]
+    >>> a[:] = np.ma.masked
+    >>> np.ma.flatnotmasked_contiguous(a)
+    []
+
+    """
+    m = getmask(a)
+    if m is nomask:
+        return [slice(0, a.size)]
+    i = 0
+    result = []
+    for (k, g) in itertools.groupby(m.ravel()):
+        n = len(list(g))
+        if not k:
+            result.append(slice(i, i + n))
+        i += n
+    return result
+
+
+def notmasked_contiguous(a, axis=None):
+    """
+    Find contiguous unmasked data in a masked array along the given axis.
+
+    Parameters
+    ----------
+    a : array_like
+        The input array.
+    axis : int, optional
+        Axis along which to perform the operation.
+        If None (default), applies to a flattened version of the array, and this
+        is the same as `flatnotmasked_contiguous`.
+
+    Returns
+    -------
+    endpoints : list
+        A list of slices (start and end indexes) of unmasked indexes
+        in the array.
+
+        If the input is 2d and axis is specified, the result is a list of lists.
+
+    See Also
+    --------
+    flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges
+    clump_masked, clump_unmasked
+
+    Notes
+    -----
+    Only accepts 2-D arrays at most.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.arange(12).reshape((3, 4))
+    >>> mask = np.zeros_like(a)
+    >>> mask[1:, :-1] = 1; mask[0, 1] = 1; mask[-1, 0] = 0
+    >>> ma = np.ma.array(a, mask=mask)
+    >>> ma
+    masked_array(
+      data=[[0, --, 2, 3],
+            [--, --, --, 7],
+            [8, --, --, 11]],
+      mask=[[False,  True, False, False],
+            [ True,  True,  True, False],
+            [False,  True,  True, False]],
+      fill_value=999999)
+    >>> np.array(ma[~ma.mask])
+    array([ 0,  2,  3,  7, 8, 11])
+
+    >>> np.ma.notmasked_contiguous(ma)
+    [slice(0, 1, None), slice(2, 4, None), slice(7, 9, None), slice(11, 12, None)]
+
+    >>> np.ma.notmasked_contiguous(ma, axis=0)
+    [[slice(0, 1, None), slice(2, 3, None)], [], [slice(0, 1, None)], [slice(0, 3, None)]]
+
+    >>> np.ma.notmasked_contiguous(ma, axis=1)
+    [[slice(0, 1, None), slice(2, 4, None)], [slice(3, 4, None)], [slice(0, 1, None), slice(3, 4, None)]]
+
+    """
+    a = asarray(a)
+    nd = a.ndim
+    if nd > 2:
+        raise NotImplementedError("Currently limited to at most 2D array.")
+    if axis is None or nd == 1:
+        return flatnotmasked_contiguous(a)
+    #
+    result = []
+    #
+    other = (axis + 1) % 2
+    idx = [0, 0]
+    idx[axis] = slice(None, None)
+    #
+    for i in range(a.shape[other]):
+        idx[other] = i
+        result.append(flatnotmasked_contiguous(a[tuple(idx)]))
+    return result
+
+
+def _ezclump(mask):
+    """
+    Finds the clumps (groups of data with the same values) for a 1D bool array.
+
+    Returns a series of slices.
+    """
+    if mask.ndim > 1:
+        mask = mask.ravel()
+    idx = (mask[1:] ^ mask[:-1]).nonzero()
+    idx = idx[0] + 1
+
+    if mask[0]:
+        if len(idx) == 0:
+            return [slice(0, mask.size)]
+
+        r = [slice(0, idx[0])]
+        r.extend((slice(left, right)
+                  for left, right in zip(idx[1:-1:2], idx[2::2])))
+    else:
+        if len(idx) == 0:
+            return []
+
+        r = [slice(left, right) for left, right in zip(idx[:-1:2], idx[1::2])]
+
+    if mask[-1]:
+        r.append(slice(idx[-1], mask.size))
+    return r
+
+
+def clump_unmasked(a):
+    """
+    Return list of slices corresponding to the unmasked clumps of a 1-D array.
+    (A "clump" is defined as a contiguous region of the array).
+
+    Parameters
+    ----------
+    a : ndarray
+        A one-dimensional masked array.
+
+    Returns
+    -------
+    slices : list of slice
+        The list of slices, one for each continuous region of unmasked
+        elements in `a`.
+
+    See Also
+    --------
+    flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges
+    notmasked_contiguous, clump_masked
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.masked_array(np.arange(10))
+    >>> a[[0, 1, 2, 6, 8, 9]] = np.ma.masked
+    >>> np.ma.clump_unmasked(a)
+    [slice(3, 6, None), slice(7, 8, None)]
+
+    """
+    mask = getattr(a, '_mask', nomask)
+    if mask is nomask:
+        return [slice(0, a.size)]
+    return _ezclump(~mask)
+
+
+def clump_masked(a):
+    """
+    Returns a list of slices corresponding to the masked clumps of a 1-D array.
+    (A "clump" is defined as a contiguous region of the array).
+
+    Parameters
+    ----------
+    a : ndarray
+        A one-dimensional masked array.
+
+    Returns
+    -------
+    slices : list of slice
+        The list of slices, one for each continuous region of masked elements
+        in `a`.
+
+    See Also
+    --------
+    flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges
+    notmasked_contiguous, clump_unmasked
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> a = np.ma.masked_array(np.arange(10))
+    >>> a[[0, 1, 2, 6, 8, 9]] = np.ma.masked
+    >>> np.ma.clump_masked(a)
+    [slice(0, 3, None), slice(6, 7, None), slice(8, 10, None)]
+
+    """
+    mask = ma.getmask(a)
+    if mask is nomask:
+        return []
+    return _ezclump(mask)
+
+
+###############################################################################
+#                              Polynomial fit                                 #
+###############################################################################
+
+
+def vander(x, n=None):
+    """
+    Masked values in the input array result in rows of zeros.
+
+    """
+    _vander = np.vander(x, n)
+    m = getmask(x)
+    if m is not nomask:
+        _vander[m] = 0
+    return _vander
+
+vander.__doc__ = ma.doc_note(np.vander.__doc__, vander.__doc__)
+
+
+def polyfit(x, y, deg, rcond=None, full=False, w=None, cov=False):
+    """
+    Any masked values in x is propagated in y, and vice-versa.
+
+    """
+    x = asarray(x)
+    y = asarray(y)
+
+    m = getmask(x)
+    if y.ndim == 1:
+        m = mask_or(m, getmask(y))
+    elif y.ndim == 2:
+        my = getmask(mask_rows(y))
+        if my is not nomask:
+            m = mask_or(m, my[:, 0])
+    else:
+        raise TypeError("Expected a 1D or 2D array for y!")
+
+    if w is not None:
+        w = asarray(w)
+        if w.ndim != 1:
+            raise TypeError("expected a 1-d array for weights")
+        if w.shape[0] != y.shape[0]:
+            raise TypeError("expected w and y to have the same length")
+        m = mask_or(m, getmask(w))
+
+    if m is not nomask:
+        not_m = ~m
+        if w is not None:
+            w = w[not_m]
+        return np.polyfit(x[not_m], y[not_m], deg, rcond, full, w, cov)
+    else:
+        return np.polyfit(x, y, deg, rcond, full, w, cov)
+
+polyfit.__doc__ = ma.doc_note(np.polyfit.__doc__, polyfit.__doc__)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/extras.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/extras.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..ba76f351752604a546140d1ecb13debbf62b8f8b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/extras.pyi
@@ -0,0 +1,134 @@
+from _typeshed import Incomplete
+
+import numpy as np
+from numpy.lib._function_base_impl import average
+from numpy.lib._index_tricks_impl import AxisConcatenator
+
+from .core import MaskedArray, dot
+
+__all__ = [
+    "apply_along_axis",
+    "apply_over_axes",
+    "atleast_1d",
+    "atleast_2d",
+    "atleast_3d",
+    "average",
+    "clump_masked",
+    "clump_unmasked",
+    "column_stack",
+    "compress_cols",
+    "compress_nd",
+    "compress_rowcols",
+    "compress_rows",
+    "corrcoef",
+    "count_masked",
+    "cov",
+    "diagflat",
+    "dot",
+    "dstack",
+    "ediff1d",
+    "flatnotmasked_contiguous",
+    "flatnotmasked_edges",
+    "hsplit",
+    "hstack",
+    "in1d",
+    "intersect1d",
+    "isin",
+    "mask_cols",
+    "mask_rowcols",
+    "mask_rows",
+    "masked_all",
+    "masked_all_like",
+    "median",
+    "mr_",
+    "ndenumerate",
+    "notmasked_contiguous",
+    "notmasked_edges",
+    "polyfit",
+    "row_stack",
+    "setdiff1d",
+    "setxor1d",
+    "stack",
+    "union1d",
+    "unique",
+    "vander",
+    "vstack",
+]
+
+def count_masked(arr, axis=...): ...
+def masked_all(shape, dtype = ...): ...
+def masked_all_like(arr): ...
+
+class _fromnxfunction:
+    __name__: Incomplete
+    __doc__: Incomplete
+    def __init__(self, funcname) -> None: ...
+    def getdoc(self): ...
+    def __call__(self, *args, **params): ...
+
+class _fromnxfunction_single(_fromnxfunction):
+    def __call__(self, x, *args, **params): ...
+
+class _fromnxfunction_seq(_fromnxfunction):
+    def __call__(self, x, *args, **params): ...
+
+class _fromnxfunction_allargs(_fromnxfunction):
+    def __call__(self, *args, **params): ...
+
+atleast_1d: _fromnxfunction_allargs
+atleast_2d: _fromnxfunction_allargs
+atleast_3d: _fromnxfunction_allargs
+
+vstack: _fromnxfunction_seq
+row_stack: _fromnxfunction_seq
+hstack: _fromnxfunction_seq
+column_stack: _fromnxfunction_seq
+dstack: _fromnxfunction_seq
+stack: _fromnxfunction_seq
+
+hsplit: _fromnxfunction_single
+diagflat: _fromnxfunction_single
+
+def apply_along_axis(func1d, axis, arr, *args, **kwargs): ...
+def apply_over_axes(func, a, axes): ...
+def median(a, axis=..., out=..., overwrite_input=..., keepdims=...): ...
+def compress_nd(x, axis=...): ...
+def compress_rowcols(x, axis=...): ...
+def compress_rows(a): ...
+def compress_cols(a): ...
+def mask_rows(a, axis = ...): ...
+def mask_cols(a, axis = ...): ...
+def ediff1d(arr, to_end=..., to_begin=...): ...
+def unique(ar1, return_index=..., return_inverse=...): ...
+def intersect1d(ar1, ar2, assume_unique=...): ...
+def setxor1d(ar1, ar2, assume_unique=...): ...
+def in1d(ar1, ar2, assume_unique=..., invert=...): ...
+def isin(element, test_elements, assume_unique=..., invert=...): ...
+def union1d(ar1, ar2): ...
+def setdiff1d(ar1, ar2, assume_unique=...): ...
+def cov(x, y=..., rowvar=..., bias=..., allow_masked=..., ddof=...): ...
+def corrcoef(x, y=..., rowvar=..., bias = ..., allow_masked=..., ddof = ...): ...
+
+class MAxisConcatenator(AxisConcatenator):
+    @staticmethod
+    def concatenate(arrays: Incomplete, axis: int = 0) -> Incomplete: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleMethodOverride]
+    @classmethod
+    def makemat(cls, arr: Incomplete) -> Incomplete: ...  # type: ignore[override]  # pyright: ignore[reportIncompatibleVariableOverride]
+
+class mr_class(MAxisConcatenator):
+    def __init__(self) -> None: ...
+
+mr_: mr_class
+
+def ndenumerate(a, compressed=...): ...
+def flatnotmasked_edges(a): ...
+def notmasked_edges(a, axis=...): ...
+def flatnotmasked_contiguous(a): ...
+def notmasked_contiguous(a, axis=...): ...
+def clump_unmasked(a): ...
+def clump_masked(a): ...
+def vander(x, n=...): ...
+def polyfit(x, y, deg, rcond=..., full=..., w=..., cov=...): ...
+
+#
+def mask_rowcols(a: Incomplete, axis: Incomplete | None = None) -> MaskedArray[Incomplete, np.dtype[Incomplete]]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/mrecords.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/mrecords.py
new file mode 100644
index 0000000000000000000000000000000000000000..10e9e834cb88db9b031af83d33b51b3b65c52994
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/mrecords.py
@@ -0,0 +1,774 @@
+""":mod:`numpy.ma..mrecords`
+
+Defines the equivalent of :class:`numpy.recarrays` for masked arrays,
+where fields can be accessed as attributes.
+Note that :class:`numpy.ma.MaskedArray` already supports structured datatypes
+and the masking of individual fields.
+
+.. moduleauthor:: Pierre Gerard-Marchant
+
+"""
+#  We should make sure that no field is called '_mask','mask','_fieldmask',
+#  or whatever restricted keywords.  An idea would be to no bother in the
+#  first place, and then rename the invalid fields with a trailing
+#  underscore. Maybe we could just overload the parser function ?
+
+import warnings
+
+import numpy as np
+import numpy.ma as ma
+
+
+_byteorderconv = np._core.records._byteorderconv
+
+
+_check_fill_value = ma.core._check_fill_value
+
+
+__all__ = [
+    'MaskedRecords', 'mrecarray', 'fromarrays', 'fromrecords',
+    'fromtextfile', 'addfield',
+]
+
+reserved_fields = ['_data', '_mask', '_fieldmask', 'dtype']
+
+
+def _checknames(descr, names=None):
+    """
+    Checks that field names ``descr`` are not reserved keywords.
+
+    If this is the case, a default 'f%i' is substituted.  If the argument
+    `names` is not None, updates the field names to valid names.
+
+    """
+    ndescr = len(descr)
+    default_names = ['f%i' % i for i in range(ndescr)]
+    if names is None:
+        new_names = default_names
+    else:
+        if isinstance(names, (tuple, list)):
+            new_names = names
+        elif isinstance(names, str):
+            new_names = names.split(',')
+        else:
+            raise NameError(f'illegal input names {names!r}')
+        nnames = len(new_names)
+        if nnames < ndescr:
+            new_names += default_names[nnames:]
+    ndescr = []
+    for (n, d, t) in zip(new_names, default_names, descr.descr):
+        if n in reserved_fields:
+            if t[0] in reserved_fields:
+                ndescr.append((d, t[1]))
+            else:
+                ndescr.append(t)
+        else:
+            ndescr.append((n, t[1]))
+    return np.dtype(ndescr)
+
+
+def _get_fieldmask(self):
+    mdescr = [(n, '|b1') for n in self.dtype.names]
+    fdmask = np.empty(self.shape, dtype=mdescr)
+    fdmask.flat = tuple([False] * len(mdescr))
+    return fdmask
+
+
+class MaskedRecords(ma.MaskedArray):
+    """
+
+    Attributes
+    ----------
+    _data : recarray
+        Underlying data, as a record array.
+    _mask : boolean array
+        Mask of the records. A record is masked when all its fields are
+        masked.
+    _fieldmask : boolean recarray
+        Record array of booleans, setting the mask of each individual field
+        of each record.
+    _fill_value : record
+        Filling values for each field.
+
+    """
+
+    def __new__(cls, shape, dtype=None, buf=None, offset=0, strides=None,
+                formats=None, names=None, titles=None,
+                byteorder=None, aligned=False,
+                mask=ma.nomask, hard_mask=False, fill_value=None, keep_mask=True,
+                copy=False,
+                **options):
+
+        self = np.recarray.__new__(cls, shape, dtype=dtype, buf=buf, offset=offset,
+                                   strides=strides, formats=formats, names=names,
+                                   titles=titles, byteorder=byteorder,
+                                   aligned=aligned,)
+
+        mdtype = ma.make_mask_descr(self.dtype)
+        if mask is ma.nomask or not np.size(mask):
+            if not keep_mask:
+                self._mask = tuple([False] * len(mdtype))
+        else:
+            mask = np.array(mask, copy=copy)
+            if mask.shape != self.shape:
+                (nd, nm) = (self.size, mask.size)
+                if nm == 1:
+                    mask = np.resize(mask, self.shape)
+                elif nm == nd:
+                    mask = np.reshape(mask, self.shape)
+                else:
+                    msg = "Mask and data not compatible: data size is %i, " + \
+                          "mask size is %i."
+                    raise ma.MAError(msg % (nd, nm))
+            if not keep_mask:
+                self.__setmask__(mask)
+                self._sharedmask = True
+            else:
+                if mask.dtype == mdtype:
+                    _mask = mask
+                else:
+                    _mask = np.array([tuple([m] * len(mdtype)) for m in mask],
+                                     dtype=mdtype)
+                self._mask = _mask
+        return self
+
+    def __array_finalize__(self, obj):
+        # Make sure we have a _fieldmask by default
+        _mask = getattr(obj, '_mask', None)
+        if _mask is None:
+            objmask = getattr(obj, '_mask', ma.nomask)
+            _dtype = np.ndarray.__getattribute__(self, 'dtype')
+            if objmask is ma.nomask:
+                _mask = ma.make_mask_none(self.shape, dtype=_dtype)
+            else:
+                mdescr = ma.make_mask_descr(_dtype)
+                _mask = np.array([tuple([m] * len(mdescr)) for m in objmask],
+                               dtype=mdescr).view(np.recarray)
+        # Update some of the attributes
+        _dict = self.__dict__
+        _dict.update(_mask=_mask)
+        self._update_from(obj)
+        if _dict['_baseclass'] == np.ndarray:
+            _dict['_baseclass'] = np.recarray
+        return
+
+    @property
+    def _data(self):
+        """
+        Returns the data as a recarray.
+
+        """
+        return np.ndarray.view(self, np.recarray)
+
+    @property
+    def _fieldmask(self):
+        """
+        Alias to mask.
+
+        """
+        return self._mask
+
+    def __len__(self):
+        """
+        Returns the length
+
+        """
+        # We have more than one record
+        if self.ndim:
+            return len(self._data)
+        # We have only one record: return the nb of fields
+        return len(self.dtype)
+
+    def __getattribute__(self, attr):
+        try:
+            return object.__getattribute__(self, attr)
+        except AttributeError:
+            # attr must be a fieldname
+            pass
+        fielddict = np.ndarray.__getattribute__(self, 'dtype').fields
+        try:
+            res = fielddict[attr][:2]
+        except (TypeError, KeyError) as e:
+            raise AttributeError(
+                f'record array has no attribute {attr}') from e
+        # So far, so good
+        _localdict = np.ndarray.__getattribute__(self, '__dict__')
+        _data = np.ndarray.view(self, _localdict['_baseclass'])
+        obj = _data.getfield(*res)
+        if obj.dtype.names is not None:
+            raise NotImplementedError("MaskedRecords is currently limited to"
+                                      "simple records.")
+        # Get some special attributes
+        # Reset the object's mask
+        hasmasked = False
+        _mask = _localdict.get('_mask', None)
+        if _mask is not None:
+            try:
+                _mask = _mask[attr]
+            except IndexError:
+                # Couldn't find a mask: use the default (nomask)
+                pass
+            tp_len = len(_mask.dtype)
+            hasmasked = _mask.view((bool, ((tp_len,) if tp_len else ()))).any()
+        if (obj.shape or hasmasked):
+            obj = obj.view(ma.MaskedArray)
+            obj._baseclass = np.ndarray
+            obj._isfield = True
+            obj._mask = _mask
+            # Reset the field values
+            _fill_value = _localdict.get('_fill_value', None)
+            if _fill_value is not None:
+                try:
+                    obj._fill_value = _fill_value[attr]
+                except ValueError:
+                    obj._fill_value = None
+        else:
+            obj = obj.item()
+        return obj
+
+    def __setattr__(self, attr, val):
+        """
+        Sets the attribute attr to the value val.
+
+        """
+        # Should we call __setmask__ first ?
+        if attr in ['mask', 'fieldmask']:
+            self.__setmask__(val)
+            return
+        # Create a shortcut (so that we don't have to call getattr all the time)
+        _localdict = object.__getattribute__(self, '__dict__')
+        # Check whether we're creating a new field
+        newattr = attr not in _localdict
+        try:
+            # Is attr a generic attribute ?
+            ret = object.__setattr__(self, attr, val)
+        except Exception:
+            # Not a generic attribute: exit if it's not a valid field
+            fielddict = np.ndarray.__getattribute__(self, 'dtype').fields or {}
+            optinfo = np.ndarray.__getattribute__(self, '_optinfo') or {}
+            if not (attr in fielddict or attr in optinfo):
+                raise
+        else:
+            # Get the list of names
+            fielddict = np.ndarray.__getattribute__(self, 'dtype').fields or {}
+            # Check the attribute
+            if attr not in fielddict:
+                return ret
+            if newattr:
+                # We just added this one or this setattr worked on an
+                # internal attribute.
+                try:
+                    object.__delattr__(self, attr)
+                except Exception:
+                    return ret
+        # Let's try to set the field
+        try:
+            res = fielddict[attr][:2]
+        except (TypeError, KeyError) as e:
+            raise AttributeError(
+                f'record array has no attribute {attr}') from e
+
+        if val is ma.masked:
+            _fill_value = _localdict['_fill_value']
+            if _fill_value is not None:
+                dval = _localdict['_fill_value'][attr]
+            else:
+                dval = val
+            mval = True
+        else:
+            dval = ma.filled(val)
+            mval = ma.getmaskarray(val)
+        obj = np.ndarray.__getattribute__(self, '_data').setfield(dval, *res)
+        _localdict['_mask'].__setitem__(attr, mval)
+        return obj
+
+    def __getitem__(self, indx):
+        """
+        Returns all the fields sharing the same fieldname base.
+
+        The fieldname base is either `_data` or `_mask`.
+
+        """
+        _localdict = self.__dict__
+        _mask = np.ndarray.__getattribute__(self, '_mask')
+        _data = np.ndarray.view(self, _localdict['_baseclass'])
+        # We want a field
+        if isinstance(indx, str):
+            # Make sure _sharedmask is True to propagate back to _fieldmask
+            # Don't use _set_mask, there are some copies being made that
+            # break propagation Don't force the mask to nomask, that wreaks
+            # easy masking
+            obj = _data[indx].view(ma.MaskedArray)
+            obj._mask = _mask[indx]
+            obj._sharedmask = True
+            fval = _localdict['_fill_value']
+            if fval is not None:
+                obj._fill_value = fval[indx]
+            # Force to masked if the mask is True
+            if not obj.ndim and obj._mask:
+                return ma.masked
+            return obj
+        # We want some elements.
+        # First, the data.
+        obj = np.asarray(_data[indx]).view(mrecarray)
+        obj._mask = np.asarray(_mask[indx]).view(np.recarray)
+        return obj
+
+    def __setitem__(self, indx, value):
+        """
+        Sets the given record to value.
+
+        """
+        ma.MaskedArray.__setitem__(self, indx, value)
+        if isinstance(indx, str):
+            self._mask[indx] = ma.getmaskarray(value)
+
+    def __str__(self):
+        """
+        Calculates the string representation.
+
+        """
+        if self.size > 1:
+            mstr = [f"({','.join([str(i) for i in s])})"
+                    for s in zip(*[getattr(self, f) for f in self.dtype.names])]
+            return f"[{', '.join(mstr)}]"
+        else:
+            mstr = [f"{','.join([str(i) for i in s])}"
+                    for s in zip([getattr(self, f) for f in self.dtype.names])]
+            return f"({', '.join(mstr)})"
+
+    def __repr__(self):
+        """
+        Calculates the repr representation.
+
+        """
+        _names = self.dtype.names
+        fmt = "%%%is : %%s" % (max([len(n) for n in _names]) + 4,)
+        reprstr = [fmt % (f, getattr(self, f)) for f in self.dtype.names]
+        reprstr.insert(0, 'masked_records(')
+        reprstr.extend([fmt % ('    fill_value', self.fill_value),
+                        '              )'])
+        return str("\n".join(reprstr))
+
+    def view(self, dtype=None, type=None):
+        """
+        Returns a view of the mrecarray.
+
+        """
+        # OK, basic copy-paste from MaskedArray.view.
+        if dtype is None:
+            if type is None:
+                output = np.ndarray.view(self)
+            else:
+                output = np.ndarray.view(self, type)
+        # Here again.
+        elif type is None:
+            try:
+                if issubclass(dtype, np.ndarray):
+                    output = np.ndarray.view(self, dtype)
+                else:
+                    output = np.ndarray.view(self, dtype)
+            # OK, there's the change
+            except TypeError:
+                dtype = np.dtype(dtype)
+                # we need to revert to MaskedArray, but keeping the possibility
+                # of subclasses (eg, TimeSeriesRecords), so we'll force a type
+                # set to the first parent
+                if dtype.fields is None:
+                    basetype = self.__class__.__bases__[0]
+                    output = self.__array__().view(dtype, basetype)
+                    output._update_from(self)
+                else:
+                    output = np.ndarray.view(self, dtype)
+                output._fill_value = None
+        else:
+            output = np.ndarray.view(self, dtype, type)
+        # Update the mask, just like in MaskedArray.view
+        if (getattr(output, '_mask', ma.nomask) is not ma.nomask):
+            mdtype = ma.make_mask_descr(output.dtype)
+            output._mask = self._mask.view(mdtype, np.ndarray)
+            output._mask.shape = output.shape
+        return output
+
+    def harden_mask(self):
+        """
+        Forces the mask to hard.
+
+        """
+        self._hardmask = True
+
+    def soften_mask(self):
+        """
+        Forces the mask to soft
+
+        """
+        self._hardmask = False
+
+    def copy(self):
+        """
+        Returns a copy of the masked record.
+
+        """
+        copied = self._data.copy().view(type(self))
+        copied._mask = self._mask.copy()
+        return copied
+
+    def tolist(self, fill_value=None):
+        """
+        Return the data portion of the array as a list.
+
+        Data items are converted to the nearest compatible Python type.
+        Masked values are converted to fill_value. If fill_value is None,
+        the corresponding entries in the output list will be ``None``.
+
+        """
+        if fill_value is not None:
+            return self.filled(fill_value).tolist()
+        result = np.array(self.filled().tolist(), dtype=object)
+        mask = np.array(self._mask.tolist())
+        result[mask] = None
+        return result.tolist()
+
+    def __getstate__(self):
+        """Return the internal state of the masked array.
+
+        This is for pickling.
+
+        """
+        state = (1,
+                 self.shape,
+                 self.dtype,
+                 self.flags.fnc,
+                 self._data.tobytes(),
+                 self._mask.tobytes(),
+                 self._fill_value,
+                 )
+        return state
+
+    def __setstate__(self, state):
+        """
+        Restore the internal state of the masked array.
+
+        This is for pickling.  ``state`` is typically the output of the
+        ``__getstate__`` output, and is a 5-tuple:
+
+        - class name
+        - a tuple giving the shape of the data
+        - a typecode for the data
+        - a binary string for the data
+        - a binary string for the mask.
+
+        """
+        (ver, shp, typ, isf, raw, msk, flv) = state
+        np.ndarray.__setstate__(self, (shp, typ, isf, raw))
+        mdtype = np.dtype([(k, np.bool) for (k, _) in self.dtype.descr])
+        self.__dict__['_mask'].__setstate__((shp, mdtype, isf, msk))
+        self.fill_value = flv
+
+    def __reduce__(self):
+        """
+        Return a 3-tuple for pickling a MaskedArray.
+
+        """
+        return (_mrreconstruct,
+                (self.__class__, self._baseclass, (0,), 'b',),
+                self.__getstate__())
+
+
+def _mrreconstruct(subtype, baseclass, baseshape, basetype,):
+    """
+    Build a new MaskedArray from the information stored in a pickle.
+
+    """
+    _data = np.ndarray.__new__(baseclass, baseshape, basetype).view(subtype)
+    _mask = np.ndarray.__new__(np.ndarray, baseshape, 'b1')
+    return subtype.__new__(subtype, _data, mask=_mask, dtype=basetype,)
+
+mrecarray = MaskedRecords
+
+
+###############################################################################
+#                             Constructors                                    #
+###############################################################################
+
+
+def fromarrays(arraylist, dtype=None, shape=None, formats=None,
+               names=None, titles=None, aligned=False, byteorder=None,
+               fill_value=None):
+    """
+    Creates a mrecarray from a (flat) list of masked arrays.
+
+    Parameters
+    ----------
+    arraylist : sequence
+        A list of (masked) arrays. Each element of the sequence is first converted
+        to a masked array if needed. If a 2D array is passed as argument, it is
+        processed line by line
+    dtype : {None, dtype}, optional
+        Data type descriptor.
+    shape : {None, integer}, optional
+        Number of records. If None, shape is defined from the shape of the
+        first array in the list.
+    formats : {None, sequence}, optional
+        Sequence of formats for each individual field. If None, the formats will
+        be autodetected by inspecting the fields and selecting the highest dtype
+        possible.
+    names : {None, sequence}, optional
+        Sequence of the names of each field.
+    fill_value : {None, sequence}, optional
+        Sequence of data to be used as filling values.
+
+    Notes
+    -----
+    Lists of tuples should be preferred over lists of lists for faster processing.
+
+    """
+    datalist = [ma.getdata(x) for x in arraylist]
+    masklist = [np.atleast_1d(ma.getmaskarray(x)) for x in arraylist]
+    _array = np.rec.fromarrays(datalist,
+                               dtype=dtype, shape=shape, formats=formats,
+                               names=names, titles=titles, aligned=aligned,
+                               byteorder=byteorder).view(mrecarray)
+    _array._mask.flat = list(zip(*masklist))
+    if fill_value is not None:
+        _array.fill_value = fill_value
+    return _array
+
+
+def fromrecords(reclist, dtype=None, shape=None, formats=None, names=None,
+                titles=None, aligned=False, byteorder=None,
+                fill_value=None, mask=ma.nomask):
+    """
+    Creates a MaskedRecords from a list of records.
+
+    Parameters
+    ----------
+    reclist : sequence
+        A list of records. Each element of the sequence is first converted
+        to a masked array if needed. If a 2D array is passed as argument, it is
+        processed line by line
+    dtype : {None, dtype}, optional
+        Data type descriptor.
+    shape : {None,int}, optional
+        Number of records. If None, ``shape`` is defined from the shape of the
+        first array in the list.
+    formats : {None, sequence}, optional
+        Sequence of formats for each individual field. If None, the formats will
+        be autodetected by inspecting the fields and selecting the highest dtype
+        possible.
+    names : {None, sequence}, optional
+        Sequence of the names of each field.
+    fill_value : {None, sequence}, optional
+        Sequence of data to be used as filling values.
+    mask : {nomask, sequence}, optional.
+        External mask to apply on the data.
+
+    Notes
+    -----
+    Lists of tuples should be preferred over lists of lists for faster processing.
+
+    """
+    # Grab the initial _fieldmask, if needed:
+    _mask = getattr(reclist, '_mask', None)
+    # Get the list of records.
+    if isinstance(reclist, np.ndarray):
+        # Make sure we don't have some hidden mask
+        if isinstance(reclist, ma.MaskedArray):
+            reclist = reclist.filled().view(np.ndarray)
+        # Grab the initial dtype, just in case
+        if dtype is None:
+            dtype = reclist.dtype
+        reclist = reclist.tolist()
+    mrec = np.rec.fromrecords(reclist, dtype=dtype, shape=shape, formats=formats,
+                          names=names, titles=titles,
+                          aligned=aligned, byteorder=byteorder).view(mrecarray)
+    # Set the fill_value if needed
+    if fill_value is not None:
+        mrec.fill_value = fill_value
+    # Now, let's deal w/ the mask
+    if mask is not ma.nomask:
+        mask = np.asarray(mask)
+        maskrecordlength = len(mask.dtype)
+        if maskrecordlength:
+            mrec._mask.flat = mask
+        elif mask.ndim == 2:
+            mrec._mask.flat = [tuple(m) for m in mask]
+        else:
+            mrec.__setmask__(mask)
+    if _mask is not None:
+        mrec._mask[:] = _mask
+    return mrec
+
+
+def _guessvartypes(arr):
+    """
+    Tries to guess the dtypes of the str_ ndarray `arr`.
+
+    Guesses by testing element-wise conversion. Returns a list of dtypes.
+    The array is first converted to ndarray. If the array is 2D, the test
+    is performed on the first line. An exception is raised if the file is
+    3D or more.
+
+    """
+    vartypes = []
+    arr = np.asarray(arr)
+    if arr.ndim == 2:
+        arr = arr[0]
+    elif arr.ndim > 2:
+        raise ValueError("The array should be 2D at most!")
+    # Start the conversion loop.
+    for f in arr:
+        try:
+            int(f)
+        except (ValueError, TypeError):
+            try:
+                float(f)
+            except (ValueError, TypeError):
+                try:
+                    complex(f)
+                except (ValueError, TypeError):
+                    vartypes.append(arr.dtype)
+                else:
+                    vartypes.append(np.dtype(complex))
+            else:
+                vartypes.append(np.dtype(float))
+        else:
+            vartypes.append(np.dtype(int))
+    return vartypes
+
+
+def openfile(fname):
+    """
+    Opens the file handle of file `fname`.
+
+    """
+    # A file handle
+    if hasattr(fname, 'readline'):
+        return fname
+    # Try to open the file and guess its type
+    try:
+        f = open(fname)
+    except FileNotFoundError as e:
+        raise FileNotFoundError(f"No such file: '{fname}'") from e
+    if f.readline()[:2] != "\\x":
+        f.seek(0, 0)
+        return f
+    f.close()
+    raise NotImplementedError("Wow, binary file")
+
+
+def fromtextfile(fname, delimiter=None, commentchar='#', missingchar='',
+                 varnames=None, vartypes=None,
+                 *, delimitor=np._NoValue):  # backwards compatibility
+    """
+    Creates a mrecarray from data stored in the file `filename`.
+
+    Parameters
+    ----------
+    fname : {file name/handle}
+        Handle of an opened file.
+    delimiter : {None, string}, optional
+        Alphanumeric character used to separate columns in the file.
+        If None, any (group of) white spacestring(s) will be used.
+    commentchar : {'#', string}, optional
+        Alphanumeric character used to mark the start of a comment.
+    missingchar : {'', string}, optional
+        String indicating missing data, and used to create the masks.
+    varnames : {None, sequence}, optional
+        Sequence of the variable names. If None, a list will be created from
+        the first non empty line of the file.
+    vartypes : {None, sequence}, optional
+        Sequence of the variables dtypes. If None, it will be estimated from
+        the first non-commented line.
+
+
+    Ultra simple: the varnames are in the header, one line"""
+    if delimitor is not np._NoValue:
+        if delimiter is not None:
+            raise TypeError("fromtextfile() got multiple values for argument "
+                            "'delimiter'")
+        # NumPy 1.22.0, 2021-09-23
+        warnings.warn("The 'delimitor' keyword argument of "
+                      "numpy.ma.mrecords.fromtextfile() is deprecated "
+                      "since NumPy 1.22.0, use 'delimiter' instead.",
+                      DeprecationWarning, stacklevel=2)
+        delimiter = delimitor
+
+    # Try to open the file.
+    ftext = openfile(fname)
+
+    # Get the first non-empty line as the varnames
+    while True:
+        line = ftext.readline()
+        firstline = line[:line.find(commentchar)].strip()
+        _varnames = firstline.split(delimiter)
+        if len(_varnames) > 1:
+            break
+    if varnames is None:
+        varnames = _varnames
+
+    # Get the data.
+    _variables = ma.masked_array([line.strip().split(delimiter) for line in ftext
+                                 if line[0] != commentchar and len(line) > 1])
+    (_, nfields) = _variables.shape
+    ftext.close()
+
+    # Try to guess the dtype.
+    if vartypes is None:
+        vartypes = _guessvartypes(_variables[0])
+    else:
+        vartypes = [np.dtype(v) for v in vartypes]
+        if len(vartypes) != nfields:
+            msg = "Attempting to %i dtypes for %i fields!"
+            msg += " Reverting to default."
+            warnings.warn(msg % (len(vartypes), nfields), stacklevel=2)
+            vartypes = _guessvartypes(_variables[0])
+
+    # Construct the descriptor.
+    mdescr = list(zip(varnames, vartypes))
+    mfillv = [ma.default_fill_value(f) for f in vartypes]
+
+    # Get the data and the mask.
+    # We just need a list of masked_arrays. It's easier to create it like that:
+    _mask = (_variables.T == missingchar)
+    _datalist = [ma.masked_array(a, mask=m, dtype=t, fill_value=f)
+                 for (a, m, t, f) in zip(_variables.T, _mask, vartypes, mfillv)]
+
+    return fromarrays(_datalist, dtype=mdescr)
+
+
+def addfield(mrecord, newfield, newfieldname=None):
+    """Adds a new field to the masked record array
+
+    Uses `newfield` as data and `newfieldname` as name. If `newfieldname`
+    is None, the new field name is set to 'fi', where `i` is the number of
+    existing fields.
+
+    """
+    _data = mrecord._data
+    _mask = mrecord._mask
+    if newfieldname is None or newfieldname in reserved_fields:
+        newfieldname = 'f%i' % len(_data.dtype)
+    newfield = ma.array(newfield)
+    # Get the new data.
+    # Create a new empty recarray
+    newdtype = np.dtype(_data.dtype.descr + [(newfieldname, newfield.dtype)])
+    newdata = np.recarray(_data.shape, newdtype)
+    # Add the existing field
+    [newdata.setfield(_data.getfield(*f), *f)
+     for f in _data.dtype.fields.values()]
+    # Add the new field
+    newdata.setfield(newfield._data, *newdata.dtype.fields[newfieldname])
+    newdata = newdata.view(MaskedRecords)
+    # Get the new mask
+    # Create a new empty recarray
+    newmdtype = np.dtype([(n, np.bool) for n in newdtype.names])
+    newmask = np.recarray(_data.shape, newmdtype)
+    # Add the old masks
+    [newmask.setfield(_mask.getfield(*f), *f)
+     for f in _mask.dtype.fields.values()]
+    # Add the mask of the new field
+    newmask.setfield(ma.getmaskarray(newfield),
+                     *newmask.dtype.fields[newfieldname])
+    newdata._mask = newmask
+    return newdata
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/mrecords.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/mrecords.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..7e2fdb1e92c616cc863429e3fcaba8f7fdc45b91
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/mrecords.pyi
@@ -0,0 +1,95 @@
+from typing import Any, TypeVar
+
+from numpy import dtype
+from . import MaskedArray
+
+__all__ = [
+    "MaskedRecords",
+    "mrecarray",
+    "fromarrays",
+    "fromrecords",
+    "fromtextfile",
+    "addfield",
+]
+
+_ShapeType_co = TypeVar("_ShapeType_co", covariant=True, bound=tuple[int, ...])
+_DType_co = TypeVar("_DType_co", bound=dtype[Any], covariant=True)
+
+class MaskedRecords(MaskedArray[_ShapeType_co, _DType_co]):
+    def __new__(
+        cls,
+        shape,
+        dtype=...,
+        buf=...,
+        offset=...,
+        strides=...,
+        formats=...,
+        names=...,
+        titles=...,
+        byteorder=...,
+        aligned=...,
+        mask=...,
+        hard_mask=...,
+        fill_value=...,
+        keep_mask=...,
+        copy=...,
+        **options,
+    ): ...
+    _mask: Any
+    _fill_value: Any
+    @property
+    def _data(self): ...
+    @property
+    def _fieldmask(self): ...
+    def __array_finalize__(self, obj): ...
+    def __len__(self): ...
+    def __getattribute__(self, attr): ...
+    def __setattr__(self, attr, val): ...
+    def __getitem__(self, indx): ...
+    def __setitem__(self, indx, value): ...
+    def view(self, dtype=..., type=...): ...
+    def harden_mask(self): ...
+    def soften_mask(self): ...
+    def copy(self): ...
+    def tolist(self, fill_value=...): ...
+    def __reduce__(self): ...
+
+mrecarray = MaskedRecords
+
+def fromarrays(
+    arraylist,
+    dtype=...,
+    shape=...,
+    formats=...,
+    names=...,
+    titles=...,
+    aligned=...,
+    byteorder=...,
+    fill_value=...,
+): ...
+
+def fromrecords(
+    reclist,
+    dtype=...,
+    shape=...,
+    formats=...,
+    names=...,
+    titles=...,
+    aligned=...,
+    byteorder=...,
+    fill_value=...,
+    mask=...,
+): ...
+
+def fromtextfile(
+    fname,
+    delimiter=...,
+    commentchar=...,
+    missingchar=...,
+    varnames=...,
+    vartypes=...,
+    # NOTE: deprecated: NumPy 1.22.0, 2021-09-23
+    # delimitor=...,
+): ...
+
+def addfield(mrecord, newfield, newfieldname=...): ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_arrayobject.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_arrayobject.py
new file mode 100644
index 0000000000000000000000000000000000000000..2000cea226fce9dea890553601594d7c1255d77c
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_arrayobject.py
@@ -0,0 +1,40 @@
+import pytest
+
+import numpy as np
+from numpy.ma import masked_array
+from numpy.testing import assert_array_equal
+
+
+def test_matrix_transpose_raises_error_for_1d():
+    msg = "matrix transpose with ndim < 2 is undefined"
+    ma_arr = masked_array(data=[1, 2, 3, 4, 5, 6],
+                          mask=[1, 0, 1, 1, 1, 0])
+    with pytest.raises(ValueError, match=msg):
+        ma_arr.mT
+
+
+def test_matrix_transpose_equals_transpose_2d():
+    ma_arr = masked_array(data=[[1, 2, 3], [4, 5, 6]],
+                          mask=[[1, 0, 1], [1, 1, 0]])
+    assert_array_equal(ma_arr.T, ma_arr.mT)
+
+
+ARRAY_SHAPES_TO_TEST = (
+    (5, 2),
+    (5, 2, 3),
+    (5, 2, 3, 4),
+)
+
+
+@pytest.mark.parametrize("shape", ARRAY_SHAPES_TO_TEST)
+def test_matrix_transpose_equals_swapaxes(shape):
+    num_of_axes = len(shape)
+    vec = np.arange(shape[-1])
+    arr = np.broadcast_to(vec, shape)
+
+    rng = np.random.default_rng(42)
+    mask = rng.choice([0, 1], size=shape)
+    ma_arr = masked_array(data=arr, mask=mask)
+
+    tgt = np.swapaxes(arr, num_of_axes - 2, num_of_axes - 1)
+    assert_array_equal(tgt, ma_arr.mT)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_core.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_core.py
new file mode 100644
index 0000000000000000000000000000000000000000..53651004db9a6021223a1a68b9be5a469cd572e0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_core.py
@@ -0,0 +1,5791 @@
+# pylint: disable-msg=W0400,W0511,W0611,W0612,W0614,R0201,E1102
+"""Tests suite for MaskedArray & subclassing.
+
+:author: Pierre Gerard-Marchant
+:contact: pierregm_at_uga_dot_edu
+"""
+__author__ = "Pierre GF Gerard-Marchant"
+
+import sys
+import warnings
+import copy
+import operator
+import itertools
+import textwrap
+import pickle
+from functools import reduce
+
+import pytest
+
+import numpy as np
+import numpy.ma.core
+import numpy._core.fromnumeric as fromnumeric
+import numpy._core.umath as umath
+from numpy.exceptions import AxisError
+from numpy.testing import (
+    assert_raises, assert_warns, suppress_warnings, IS_WASM, temppath
+    )
+from numpy.testing._private.utils import requires_memory
+from numpy import ndarray
+from numpy._utils import asbytes
+from numpy.ma.testutils import (
+    assert_, assert_array_equal, assert_equal, assert_almost_equal,
+    assert_equal_records, fail_if_equal, assert_not_equal,
+    assert_mask_equal
+    )
+from numpy.ma.core import (
+    MAError, MaskError, MaskType, MaskedArray, abs, absolute, add, all,
+    allclose, allequal, alltrue, angle, anom, arange, arccos, arccosh, arctan2,
+    arcsin, arctan, argsort, array, asarray, choose, concatenate,
+    conjugate, cos, cosh, count, default_fill_value, diag, divide, doc_note,
+    empty, empty_like, equal, exp, flatten_mask, filled, fix_invalid,
+    flatten_structured_array, fromflex, getmask, getmaskarray, greater,
+    greater_equal, identity, inner, isMaskedArray, less, less_equal, log,
+    log10, make_mask, make_mask_descr, mask_or, masked, masked_array,
+    masked_equal, masked_greater, masked_greater_equal, masked_inside,
+    masked_less, masked_less_equal, masked_not_equal, masked_outside,
+    masked_print_option, masked_values, masked_where, max, maximum,
+    maximum_fill_value, min, minimum, minimum_fill_value, mod, multiply,
+    mvoid, nomask, not_equal, ones, ones_like, outer, power, product, put,
+    putmask, ravel, repeat, reshape, resize, shape, sin, sinh, sometrue, sort,
+    sqrt, subtract, sum, take, tan, tanh, transpose, where, zeros, zeros_like,
+    )
+
+pi = np.pi
+
+
+suppress_copy_mask_on_assignment = suppress_warnings()
+suppress_copy_mask_on_assignment.filter(
+    numpy.ma.core.MaskedArrayFutureWarning,
+    "setting an item on a masked array which has a shared mask will not copy")
+
+
+# For parametrized numeric testing
+num_dts = [np.dtype(dt_) for dt_ in '?bhilqBHILQefdgFD']
+num_ids = [dt_.char for dt_ in num_dts]
+
+
+class TestMaskedArray:
+    # Base test class for MaskedArrays.
+
+    def setup_method(self):
+        # Base data definition.
+        x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.])
+        y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.])
+        a10 = 10.
+        m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]
+        m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1]
+        xm = masked_array(x, mask=m1)
+        ym = masked_array(y, mask=m2)
+        z = np.array([-.5, 0., .5, .8])
+        zm = masked_array(z, mask=[0, 1, 0, 0])
+        xf = np.where(m1, 1e+20, x)
+        xm.set_fill_value(1e+20)
+        self.d = (x, y, a10, m1, m2, xm, ym, z, zm, xf)
+
+    def test_basicattributes(self):
+        # Tests some basic array attributes.
+        a = array([1, 3, 2])
+        b = array([1, 3, 2], mask=[1, 0, 1])
+        assert_equal(a.ndim, 1)
+        assert_equal(b.ndim, 1)
+        assert_equal(a.size, 3)
+        assert_equal(b.size, 3)
+        assert_equal(a.shape, (3,))
+        assert_equal(b.shape, (3,))
+
+    def test_basic0d(self):
+        # Checks masking a scalar
+        x = masked_array(0)
+        assert_equal(str(x), '0')
+        x = masked_array(0, mask=True)
+        assert_equal(str(x), str(masked_print_option))
+        x = masked_array(0, mask=False)
+        assert_equal(str(x), '0')
+        x = array(0, mask=1)
+        assert_(x.filled().dtype is x._data.dtype)
+
+    def test_basic1d(self):
+        # Test of basic array creation and properties in 1 dimension.
+        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
+        assert_(not isMaskedArray(x))
+        assert_(isMaskedArray(xm))
+        assert_((xm - ym).filled(0).any())
+        fail_if_equal(xm.mask.astype(int), ym.mask.astype(int))
+        s = x.shape
+        assert_equal(np.shape(xm), s)
+        assert_equal(xm.shape, s)
+        assert_equal(xm.dtype, x.dtype)
+        assert_equal(zm.dtype, z.dtype)
+        assert_equal(xm.size, reduce(lambda x, y:x * y, s))
+        assert_equal(count(xm), len(m1) - reduce(lambda x, y:x + y, m1))
+        assert_array_equal(xm, xf)
+        assert_array_equal(filled(xm, 1.e20), xf)
+        assert_array_equal(x, xm)
+
+    def test_basic2d(self):
+        # Test of basic array creation and properties in 2 dimensions.
+        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
+        for s in [(4, 3), (6, 2)]:
+            x.shape = s
+            y.shape = s
+            xm.shape = s
+            ym.shape = s
+            xf.shape = s
+
+            assert_(not isMaskedArray(x))
+            assert_(isMaskedArray(xm))
+            assert_equal(shape(xm), s)
+            assert_equal(xm.shape, s)
+            assert_equal(xm.size, reduce(lambda x, y:x * y, s))
+            assert_equal(count(xm), len(m1) - reduce(lambda x, y:x + y, m1))
+            assert_equal(xm, xf)
+            assert_equal(filled(xm, 1.e20), xf)
+            assert_equal(x, xm)
+
+    def test_concatenate_basic(self):
+        # Tests concatenations.
+        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
+        # basic concatenation
+        assert_equal(np.concatenate((x, y)), concatenate((xm, ym)))
+        assert_equal(np.concatenate((x, y)), concatenate((x, y)))
+        assert_equal(np.concatenate((x, y)), concatenate((xm, y)))
+        assert_equal(np.concatenate((x, y, x)), concatenate((x, ym, x)))
+
+    def test_concatenate_alongaxis(self):
+        # Tests concatenations.
+        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
+        # Concatenation along an axis
+        s = (3, 4)
+        x.shape = y.shape = xm.shape = ym.shape = s
+        assert_equal(xm.mask, np.reshape(m1, s))
+        assert_equal(ym.mask, np.reshape(m2, s))
+        xmym = concatenate((xm, ym), 1)
+        assert_equal(np.concatenate((x, y), 1), xmym)
+        assert_equal(np.concatenate((xm.mask, ym.mask), 1), xmym._mask)
+
+        x = zeros(2)
+        y = array(ones(2), mask=[False, True])
+        z = concatenate((x, y))
+        assert_array_equal(z, [0, 0, 1, 1])
+        assert_array_equal(z.mask, [False, False, False, True])
+        z = concatenate((y, x))
+        assert_array_equal(z, [1, 1, 0, 0])
+        assert_array_equal(z.mask, [False, True, False, False])
+
+    def test_concatenate_flexible(self):
+        # Tests the concatenation on flexible arrays.
+        data = masked_array(list(zip(np.random.rand(10),
+                                     np.arange(10))),
+                            dtype=[('a', float), ('b', int)])
+
+        test = concatenate([data[:5], data[5:]])
+        assert_equal_records(test, data)
+
+    def test_creation_ndmin(self):
+        # Check the use of ndmin
+        x = array([1, 2, 3], mask=[1, 0, 0], ndmin=2)
+        assert_equal(x.shape, (1, 3))
+        assert_equal(x._data, [[1, 2, 3]])
+        assert_equal(x._mask, [[1, 0, 0]])
+
+    def test_creation_ndmin_from_maskedarray(self):
+        # Make sure we're not losing the original mask w/ ndmin
+        x = array([1, 2, 3])
+        x[-1] = masked
+        xx = array(x, ndmin=2, dtype=float)
+        assert_equal(x.shape, x._mask.shape)
+        assert_equal(xx.shape, xx._mask.shape)
+
+    def test_creation_maskcreation(self):
+        # Tests how masks are initialized at the creation of Maskedarrays.
+        data = arange(24, dtype=float)
+        data[[3, 6, 15]] = masked
+        dma_1 = MaskedArray(data)
+        assert_equal(dma_1.mask, data.mask)
+        dma_2 = MaskedArray(dma_1)
+        assert_equal(dma_2.mask, dma_1.mask)
+        dma_3 = MaskedArray(dma_1, mask=[1, 0, 0, 0] * 6)
+        fail_if_equal(dma_3.mask, dma_1.mask)
+
+        x = array([1, 2, 3], mask=True)
+        assert_equal(x._mask, [True, True, True])
+        x = array([1, 2, 3], mask=False)
+        assert_equal(x._mask, [False, False, False])
+        y = array([1, 2, 3], mask=x._mask, copy=False)
+        assert_(np.may_share_memory(x.mask, y.mask))
+        y = array([1, 2, 3], mask=x._mask, copy=True)
+        assert_(not np.may_share_memory(x.mask, y.mask))
+        x = array([1, 2, 3], mask=None)
+        assert_equal(x._mask, [False, False, False])
+
+    def test_masked_singleton_array_creation_warns(self):
+        # The first works, but should not (ideally), there may be no way
+        # to solve this, however, as long as `np.ma.masked` is an ndarray.
+        np.array(np.ma.masked)
+        with pytest.warns(UserWarning):
+            # Tries to create a float array, using `float(np.ma.masked)`.
+            # We may want to define this is invalid behaviour in the future!
+            # (requiring np.ma.masked to be a known NumPy scalar probably
+            # with a DType.)
+            np.array([3., np.ma.masked])
+
+    def test_creation_with_list_of_maskedarrays(self):
+        # Tests creating a masked array from a list of masked arrays.
+        x = array(np.arange(5), mask=[1, 0, 0, 0, 0])
+        data = array((x, x[::-1]))
+        assert_equal(data, [[0, 1, 2, 3, 4], [4, 3, 2, 1, 0]])
+        assert_equal(data._mask, [[1, 0, 0, 0, 0], [0, 0, 0, 0, 1]])
+
+        x.mask = nomask
+        data = array((x, x[::-1]))
+        assert_equal(data, [[0, 1, 2, 3, 4], [4, 3, 2, 1, 0]])
+        assert_(data.mask is nomask)
+
+    def test_creation_with_list_of_maskedarrays_no_bool_cast(self):
+        # Tests the regression in gh-18551
+        masked_str = np.ma.masked_array(['a', 'b'], mask=[True, False])
+        normal_int = np.arange(2)
+        res = np.ma.asarray([masked_str, normal_int], dtype="U21")
+        assert_array_equal(res.mask, [[True, False], [False, False]])
+
+        # The above only failed due a long chain of oddity, try also with
+        # an object array that cannot be converted to bool always:
+        class NotBool:
+            def __bool__(self):
+                raise ValueError("not a bool!")
+        masked_obj = np.ma.masked_array([NotBool(), 'b'], mask=[True, False])
+        # Check that the NotBool actually fails like we would expect:
+        with pytest.raises(ValueError, match="not a bool!"):
+            np.asarray([masked_obj], dtype=bool)
+
+        res = np.ma.asarray([masked_obj, normal_int])
+        assert_array_equal(res.mask, [[True, False], [False, False]])
+
+    def test_creation_from_ndarray_with_padding(self):
+        x = np.array([('A', 0)], dtype={'names':['f0','f1'],
+                                        'formats':['S4','i8'],
+                                        'offsets':[0,8]})
+        array(x)  # used to fail due to 'V' padding field in x.dtype.descr
+
+    def test_unknown_keyword_parameter(self):
+        with pytest.raises(TypeError, match="unexpected keyword argument"):
+            MaskedArray([1, 2, 3], maks=[0, 1, 0])  # `mask` is misspelled.
+
+    def test_asarray(self):
+        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
+        xm.fill_value = -9999
+        xm._hardmask = True
+        xmm = asarray(xm)
+        assert_equal(xmm._data, xm._data)
+        assert_equal(xmm._mask, xm._mask)
+        assert_equal(xmm.fill_value, xm.fill_value)
+        assert_equal(xmm._hardmask, xm._hardmask)
+
+    def test_asarray_default_order(self):
+        # See Issue #6646
+        m = np.eye(3).T
+        assert_(not m.flags.c_contiguous)
+
+        new_m = asarray(m)
+        assert_(new_m.flags.c_contiguous)
+
+    def test_asarray_enforce_order(self):
+        # See Issue #6646
+        m = np.eye(3).T
+        assert_(not m.flags.c_contiguous)
+
+        new_m = asarray(m, order='C')
+        assert_(new_m.flags.c_contiguous)
+
+    def test_fix_invalid(self):
+        # Checks fix_invalid.
+        with np.errstate(invalid='ignore'):
+            data = masked_array([np.nan, 0., 1.], mask=[0, 0, 1])
+            data_fixed = fix_invalid(data)
+            assert_equal(data_fixed._data, [data.fill_value, 0., 1.])
+            assert_equal(data_fixed._mask, [1., 0., 1.])
+
+    def test_maskedelement(self):
+        # Test of masked element
+        x = arange(6)
+        x[1] = masked
+        assert_(str(masked) == '--')
+        assert_(x[1] is masked)
+        assert_equal(filled(x[1], 0), 0)
+
+    def test_set_element_as_object(self):
+        # Tests setting elements with object
+        a = empty(1, dtype=object)
+        x = (1, 2, 3, 4, 5)
+        a[0] = x
+        assert_equal(a[0], x)
+        assert_(a[0] is x)
+
+        import datetime
+        dt = datetime.datetime.now()
+        a[0] = dt
+        assert_(a[0] is dt)
+
+    def test_indexing(self):
+        # Tests conversions and indexing
+        x1 = np.array([1, 2, 4, 3])
+        x2 = array(x1, mask=[1, 0, 0, 0])
+        x3 = array(x1, mask=[0, 1, 0, 1])
+        x4 = array(x1)
+        # test conversion to strings
+        str(x2)  # raises?
+        repr(x2)  # raises?
+        assert_equal(np.sort(x1), sort(x2, endwith=False))
+        # tests of indexing
+        assert_(type(x2[1]) is type(x1[1]))
+        assert_(x1[1] == x2[1])
+        assert_(x2[0] is masked)
+        assert_equal(x1[2], x2[2])
+        assert_equal(x1[2:5], x2[2:5])
+        assert_equal(x1[:], x2[:])
+        assert_equal(x1[1:], x3[1:])
+        x1[2] = 9
+        x2[2] = 9
+        assert_equal(x1, x2)
+        x1[1:3] = 99
+        x2[1:3] = 99
+        assert_equal(x1, x2)
+        x2[1] = masked
+        assert_equal(x1, x2)
+        x2[1:3] = masked
+        assert_equal(x1, x2)
+        x2[:] = x1
+        x2[1] = masked
+        assert_(allequal(getmask(x2), array([0, 1, 0, 0])))
+        x3[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0])
+        assert_(allequal(getmask(x3), array([0, 1, 1, 0])))
+        x4[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0])
+        assert_(allequal(getmask(x4), array([0, 1, 1, 0])))
+        assert_(allequal(x4, array([1, 2, 3, 4])))
+        x1 = np.arange(5) * 1.0
+        x2 = masked_values(x1, 3.0)
+        assert_equal(x1, x2)
+        assert_(allequal(array([0, 0, 0, 1, 0], MaskType), x2.mask))
+        assert_equal(3.0, x2.fill_value)
+        x1 = array([1, 'hello', 2, 3], object)
+        x2 = np.array([1, 'hello', 2, 3], object)
+        s1 = x1[1]
+        s2 = x2[1]
+        assert_equal(type(s2), str)
+        assert_equal(type(s1), str)
+        assert_equal(s1, s2)
+        assert_(x1[1:1].shape == (0,))
+
+    def test_setitem_no_warning(self):
+        # Setitem shouldn't warn, because the assignment might be masked
+        # and warning for a masked assignment is weird (see gh-23000)
+        # (When the value is masked, otherwise a warning would be acceptable
+        # but is not given currently.)
+        x = np.ma.arange(60).reshape((6, 10))
+        index = (slice(1, 5, 2), [7, 5])
+        value = np.ma.masked_all((2, 2))
+        value._data[...] = np.inf  # not a valid integer...
+        x[index] = value
+        # The masked scalar is special cased, but test anyway (it's NaN):
+        x[...] = np.ma.masked
+        # Finally, a large value that cannot be cast to the float32 `x`
+        x = np.ma.arange(3., dtype=np.float32)
+        value = np.ma.array([2e234, 1, 1], mask=[True, False, False])
+        x[...] = value
+        x[[0, 1, 2]] = value
+
+    @suppress_copy_mask_on_assignment
+    def test_copy(self):
+        # Tests of some subtle points of copying and sizing.
+        n = [0, 0, 1, 0, 0]
+        m = make_mask(n)
+        m2 = make_mask(m)
+        assert_(m is m2)
+        m3 = make_mask(m, copy=True)
+        assert_(m is not m3)
+
+        x1 = np.arange(5)
+        y1 = array(x1, mask=m)
+        assert_equal(y1._data.__array_interface__, x1.__array_interface__)
+        assert_(allequal(x1, y1.data))
+        assert_equal(y1._mask.__array_interface__, m.__array_interface__)
+
+        y1a = array(y1)
+        # Default for masked array is not to copy; see gh-10318.
+        assert_(y1a._data.__array_interface__ ==
+                        y1._data.__array_interface__)
+        assert_(y1a._mask.__array_interface__ ==
+                        y1._mask.__array_interface__)
+
+        y2 = array(x1, mask=m3)
+        assert_(y2._data.__array_interface__ == x1.__array_interface__)
+        assert_(y2._mask.__array_interface__ == m3.__array_interface__)
+        assert_(y2[2] is masked)
+        y2[2] = 9
+        assert_(y2[2] is not masked)
+        assert_(y2._mask.__array_interface__ == m3.__array_interface__)
+        assert_(allequal(y2.mask, 0))
+
+        y2a = array(x1, mask=m, copy=1)
+        assert_(y2a._data.__array_interface__ != x1.__array_interface__)
+        #assert_( y2a._mask is not m)
+        assert_(y2a._mask.__array_interface__ != m.__array_interface__)
+        assert_(y2a[2] is masked)
+        y2a[2] = 9
+        assert_(y2a[2] is not masked)
+        #assert_( y2a._mask is not m)
+        assert_(y2a._mask.__array_interface__ != m.__array_interface__)
+        assert_(allequal(y2a.mask, 0))
+
+        y3 = array(x1 * 1.0, mask=m)
+        assert_(filled(y3).dtype is (x1 * 1.0).dtype)
+
+        x4 = arange(4)
+        x4[2] = masked
+        y4 = resize(x4, (8,))
+        assert_equal(concatenate([x4, x4]), y4)
+        assert_equal(getmask(y4), [0, 0, 1, 0, 0, 0, 1, 0])
+        y5 = repeat(x4, (2, 2, 2, 2), axis=0)
+        assert_equal(y5, [0, 0, 1, 1, 2, 2, 3, 3])
+        y6 = repeat(x4, 2, axis=0)
+        assert_equal(y5, y6)
+        y7 = x4.repeat((2, 2, 2, 2), axis=0)
+        assert_equal(y5, y7)
+        y8 = x4.repeat(2, 0)
+        assert_equal(y5, y8)
+
+        y9 = x4.copy()
+        assert_equal(y9._data, x4._data)
+        assert_equal(y9._mask, x4._mask)
+
+        x = masked_array([1, 2, 3], mask=[0, 1, 0])
+        # Copy is False by default
+        y = masked_array(x)
+        assert_equal(y._data.ctypes.data, x._data.ctypes.data)
+        assert_equal(y._mask.ctypes.data, x._mask.ctypes.data)
+        y = masked_array(x, copy=True)
+        assert_not_equal(y._data.ctypes.data, x._data.ctypes.data)
+        assert_not_equal(y._mask.ctypes.data, x._mask.ctypes.data)
+
+    def test_copy_0d(self):
+        # gh-9430
+        x = np.ma.array(43, mask=True)
+        xc = x.copy()
+        assert_equal(xc.mask, True)
+
+    def test_copy_on_python_builtins(self):
+        # Tests copy works on python builtins (issue#8019)
+        assert_(isMaskedArray(np.ma.copy([1,2,3])))
+        assert_(isMaskedArray(np.ma.copy((1,2,3))))
+
+    def test_copy_immutable(self):
+        # Tests that the copy method is immutable, GitHub issue #5247
+        a = np.ma.array([1, 2, 3])
+        b = np.ma.array([4, 5, 6])
+        a_copy_method = a.copy
+        b.copy
+        assert_equal(a_copy_method(), [1, 2, 3])
+
+    def test_deepcopy(self):
+        from copy import deepcopy
+        a = array([0, 1, 2], mask=[False, True, False])
+        copied = deepcopy(a)
+        assert_equal(copied.mask, a.mask)
+        assert_not_equal(id(a._mask), id(copied._mask))
+
+        copied[1] = 1
+        assert_equal(copied.mask, [0, 0, 0])
+        assert_equal(a.mask, [0, 1, 0])
+
+        copied = deepcopy(a)
+        assert_equal(copied.mask, a.mask)
+        copied.mask[1] = False
+        assert_equal(copied.mask, [0, 0, 0])
+        assert_equal(a.mask, [0, 1, 0])
+
+    def test_format(self):
+        a = array([0, 1, 2], mask=[False, True, False])
+        assert_equal(format(a), "[0 -- 2]")
+        assert_equal(format(masked), "--")
+        assert_equal(format(masked, ""), "--")
+
+        # Postponed from PR #15410, perhaps address in the future.
+        # assert_equal(format(masked, " >5"), "   --")
+        # assert_equal(format(masked, " <5"), "--   ")
+
+        # Expect a FutureWarning for using format_spec with MaskedElement
+        with assert_warns(FutureWarning):
+            with_format_string = format(masked, " >5")
+        assert_equal(with_format_string, "--")
+
+    def test_str_repr(self):
+        a = array([0, 1, 2], mask=[False, True, False])
+        assert_equal(str(a), '[0 -- 2]')
+        assert_equal(
+            repr(a),
+            textwrap.dedent('''\
+            masked_array(data=[0, --, 2],
+                         mask=[False,  True, False],
+                   fill_value=999999)''')
+        )
+
+        # arrays with a continuation
+        a = np.ma.arange(2000)
+        a[1:50] = np.ma.masked
+        assert_equal(
+            repr(a),
+            textwrap.dedent('''\
+            masked_array(data=[0, --, --, ..., 1997, 1998, 1999],
+                         mask=[False,  True,  True, ..., False, False, False],
+                   fill_value=999999)''')
+        )
+
+        # line-wrapped 1d arrays are correctly aligned
+        a = np.ma.arange(20)
+        assert_equal(
+            repr(a),
+            textwrap.dedent('''\
+            masked_array(data=[ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13,
+                               14, 15, 16, 17, 18, 19],
+                         mask=False,
+                   fill_value=999999)''')
+        )
+
+        # 2d arrays cause wrapping
+        a = array([[1, 2, 3], [4, 5, 6]], dtype=np.int8)
+        a[1,1] = np.ma.masked
+        assert_equal(
+            repr(a),
+            textwrap.dedent(f'''\
+            masked_array(
+              data=[[1, 2, 3],
+                    [4, --, 6]],
+              mask=[[False, False, False],
+                    [False,  True, False]],
+              fill_value={np.array(999999)[()]!r},
+              dtype=int8)''')
+        )
+
+        # but not it they're a row vector
+        assert_equal(
+            repr(a[:1]),
+            textwrap.dedent(f'''\
+            masked_array(data=[[1, 2, 3]],
+                         mask=[[False, False, False]],
+                   fill_value={np.array(999999)[()]!r},
+                        dtype=int8)''')
+        )
+
+        # dtype=int is implied, so not shown
+        assert_equal(
+            repr(a.astype(int)),
+            textwrap.dedent('''\
+            masked_array(
+              data=[[1, 2, 3],
+                    [4, --, 6]],
+              mask=[[False, False, False],
+                    [False,  True, False]],
+              fill_value=999999)''')
+        )
+
+    def test_str_repr_legacy(self):
+        oldopts = np.get_printoptions()
+        np.set_printoptions(legacy='1.13')
+        try:
+            a = array([0, 1, 2], mask=[False, True, False])
+            assert_equal(str(a), '[0 -- 2]')
+            assert_equal(repr(a), 'masked_array(data = [0 -- 2],\n'
+                                  '             mask = [False  True False],\n'
+                                  '       fill_value = 999999)\n')
+
+            a = np.ma.arange(2000)
+            a[1:50] = np.ma.masked
+            assert_equal(
+                repr(a),
+                'masked_array(data = [0 -- -- ..., 1997 1998 1999],\n'
+                '             mask = [False  True  True ..., False False False],\n'
+                '       fill_value = 999999)\n'
+            )
+        finally:
+            np.set_printoptions(**oldopts)
+
+    def test_0d_unicode(self):
+        u = 'caf\xe9'
+        utype = type(u)
+
+        arr_nomask = np.ma.array(u)
+        arr_masked = np.ma.array(u, mask=True)
+
+        assert_equal(utype(arr_nomask), u)
+        assert_equal(utype(arr_masked), '--')
+
+    def test_pickling(self):
+        # Tests pickling
+        for dtype in (int, float, str, object):
+            a = arange(10).astype(dtype)
+            a.fill_value = 999
+
+            masks = ([0, 0, 0, 1, 0, 1, 0, 1, 0, 1],  # partially masked
+                     True,                            # Fully masked
+                     False)                           # Fully unmasked
+
+            for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+                for mask in masks:
+                    a.mask = mask
+                    a_pickled = pickle.loads(pickle.dumps(a, protocol=proto))
+                    assert_equal(a_pickled._mask, a._mask)
+                    assert_equal(a_pickled._data, a._data)
+                    if dtype in (object, int):
+                        assert_equal(a_pickled.fill_value, 999)
+                    else:
+                        assert_equal(a_pickled.fill_value, dtype(999))
+                    assert_array_equal(a_pickled.mask, mask)
+
+    def test_pickling_subbaseclass(self):
+        # Test pickling w/ a subclass of ndarray
+        x = np.array([(1.0, 2), (3.0, 4)],
+                     dtype=[('x', float), ('y', int)]).view(np.recarray)
+        a = masked_array(x, mask=[(True, False), (False, True)])
+        for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+            a_pickled = pickle.loads(pickle.dumps(a, protocol=proto))
+            assert_equal(a_pickled._mask, a._mask)
+            assert_equal(a_pickled, a)
+            assert_(isinstance(a_pickled._data, np.recarray))
+
+    def test_pickling_maskedconstant(self):
+        # Test pickling MaskedConstant
+        mc = np.ma.masked
+        for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+            mc_pickled = pickle.loads(pickle.dumps(mc, protocol=proto))
+            assert_equal(mc_pickled._baseclass, mc._baseclass)
+            assert_equal(mc_pickled._mask, mc._mask)
+            assert_equal(mc_pickled._data, mc._data)
+
+    def test_pickling_wstructured(self):
+        # Tests pickling w/ structured array
+        a = array([(1, 1.), (2, 2.)], mask=[(0, 0), (0, 1)],
+                  dtype=[('a', int), ('b', float)])
+        for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+            a_pickled = pickle.loads(pickle.dumps(a, protocol=proto))
+            assert_equal(a_pickled._mask, a._mask)
+            assert_equal(a_pickled, a)
+
+    def test_pickling_keepalignment(self):
+        # Tests pickling w/ F_CONTIGUOUS arrays
+        a = arange(10)
+        a.shape = (-1, 2)
+        b = a.T
+        for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+            test = pickle.loads(pickle.dumps(b, protocol=proto))
+            assert_equal(test, b)
+
+    def test_single_element_subscript(self):
+        # Tests single element subscripts of Maskedarrays.
+        a = array([1, 3, 2])
+        b = array([1, 3, 2], mask=[1, 0, 1])
+        assert_equal(a[0].shape, ())
+        assert_equal(b[0].shape, ())
+        assert_equal(b[1].shape, ())
+
+    def test_topython(self):
+        # Tests some communication issues with Python.
+        assert_equal(1, int(array(1)))
+        assert_equal(1.0, float(array(1)))
+        assert_equal(1, int(array([[[1]]])))
+        assert_equal(1.0, float(array([[1]])))
+        assert_raises(TypeError, float, array([1, 1]))
+
+        with suppress_warnings() as sup:
+            sup.filter(UserWarning, 'Warning: converting a masked element')
+            assert_(np.isnan(float(array([1], mask=[1]))))
+
+            a = array([1, 2, 3], mask=[1, 0, 0])
+            assert_raises(TypeError, lambda: float(a))
+            assert_equal(float(a[-1]), 3.)
+            assert_(np.isnan(float(a[0])))
+        assert_raises(TypeError, int, a)
+        assert_equal(int(a[-1]), 3)
+        assert_raises(MAError, lambda:int(a[0]))
+
+    def test_oddfeatures_1(self):
+        # Test of other odd features
+        x = arange(20)
+        x = x.reshape(4, 5)
+        x.flat[5] = 12
+        assert_(x[1, 0] == 12)
+        z = x + 10j * x
+        assert_equal(z.real, x)
+        assert_equal(z.imag, 10 * x)
+        assert_equal((z * conjugate(z)).real, 101 * x * x)
+        z.imag[...] = 0.0
+
+        x = arange(10)
+        x[3] = masked
+        assert_(str(x[3]) == str(masked))
+        c = x >= 8
+        assert_(count(where(c, masked, masked)) == 0)
+        assert_(shape(where(c, masked, masked)) == c.shape)
+
+        z = masked_where(c, x)
+        assert_(z.dtype is x.dtype)
+        assert_(z[3] is masked)
+        assert_(z[4] is not masked)
+        assert_(z[7] is not masked)
+        assert_(z[8] is masked)
+        assert_(z[9] is masked)
+        assert_equal(x, z)
+
+    def test_oddfeatures_2(self):
+        # Tests some more features.
+        x = array([1., 2., 3., 4., 5.])
+        c = array([1, 1, 1, 0, 0])
+        x[2] = masked
+        z = where(c, x, -x)
+        assert_equal(z, [1., 2., 0., -4., -5])
+        c[0] = masked
+        z = where(c, x, -x)
+        assert_equal(z, [1., 2., 0., -4., -5])
+        assert_(z[0] is masked)
+        assert_(z[1] is not masked)
+        assert_(z[2] is masked)
+
+    @suppress_copy_mask_on_assignment
+    def test_oddfeatures_3(self):
+        # Tests some generic features
+        atest = array([10], mask=True)
+        btest = array([20])
+        idx = atest.mask
+        atest[idx] = btest[idx]
+        assert_equal(atest, [20])
+
+    def test_filled_with_object_dtype(self):
+        a = np.ma.masked_all(1, dtype='O')
+        assert_equal(a.filled('x')[0], 'x')
+
+    def test_filled_with_flexible_dtype(self):
+        # Test filled w/ flexible dtype
+        flexi = array([(1, 1, 1)],
+                      dtype=[('i', int), ('s', '|S8'), ('f', float)])
+        flexi[0] = masked
+        assert_equal(flexi.filled(),
+                     np.array([(default_fill_value(0),
+                                default_fill_value('0'),
+                                default_fill_value(0.),)], dtype=flexi.dtype))
+        flexi[0] = masked
+        assert_equal(flexi.filled(1),
+                     np.array([(1, '1', 1.)], dtype=flexi.dtype))
+
+    def test_filled_with_mvoid(self):
+        # Test filled w/ mvoid
+        ndtype = [('a', int), ('b', float)]
+        a = mvoid((1, 2.), mask=[(0, 1)], dtype=ndtype)
+        # Filled using default
+        test = a.filled()
+        assert_equal(tuple(test), (1, default_fill_value(1.)))
+        # Explicit fill_value
+        test = a.filled((-1, -1))
+        assert_equal(tuple(test), (1, -1))
+        # Using predefined filling values
+        a.fill_value = (-999, -999)
+        assert_equal(tuple(a.filled()), (1, -999))
+
+    def test_filled_with_nested_dtype(self):
+        # Test filled w/ nested dtype
+        ndtype = [('A', int), ('B', [('BA', int), ('BB', int)])]
+        a = array([(1, (1, 1)), (2, (2, 2))],
+                  mask=[(0, (1, 0)), (0, (0, 1))], dtype=ndtype)
+        test = a.filled(0)
+        control = np.array([(1, (0, 1)), (2, (2, 0))], dtype=ndtype)
+        assert_equal(test, control)
+
+        test = a['B'].filled(0)
+        control = np.array([(0, 1), (2, 0)], dtype=a['B'].dtype)
+        assert_equal(test, control)
+
+        # test if mask gets set correctly (see #6760)
+        Z = numpy.ma.zeros(2, numpy.dtype([("A", "(2,2)i1,(2,2)i1", (2,2))]))
+        assert_equal(Z.data.dtype, numpy.dtype([('A', [('f0', 'i1', (2, 2)),
+                                          ('f1', 'i1', (2, 2))], (2, 2))]))
+        assert_equal(Z.mask.dtype, numpy.dtype([('A', [('f0', '?', (2, 2)),
+                                          ('f1', '?', (2, 2))], (2, 2))]))
+
+    def test_filled_with_f_order(self):
+        # Test filled w/ F-contiguous array
+        a = array(np.array([(0, 1, 2), (4, 5, 6)], order='F'),
+                  mask=np.array([(0, 0, 1), (1, 0, 0)], order='F'),
+                  order='F')  # this is currently ignored
+        assert_(a.flags['F_CONTIGUOUS'])
+        assert_(a.filled(0).flags['F_CONTIGUOUS'])
+
+    def test_optinfo_propagation(self):
+        # Checks that _optinfo dictionary isn't back-propagated
+        x = array([1, 2, 3, ], dtype=float)
+        x._optinfo['info'] = '???'
+        y = x.copy()
+        assert_equal(y._optinfo['info'], '???')
+        y._optinfo['info'] = '!!!'
+        assert_equal(x._optinfo['info'], '???')
+
+    def test_optinfo_forward_propagation(self):
+        a = array([1,2,2,4])
+        a._optinfo["key"] = "value"
+        assert_equal(a._optinfo["key"], (a == 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a != 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a > 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a >= 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a <= 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a + 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a - 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a * 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], (a / 2)._optinfo["key"])
+        assert_equal(a._optinfo["key"], a[:2]._optinfo["key"])
+        assert_equal(a._optinfo["key"], a[[0,0,2]]._optinfo["key"])
+        assert_equal(a._optinfo["key"], np.exp(a)._optinfo["key"])
+        assert_equal(a._optinfo["key"], np.abs(a)._optinfo["key"])
+        assert_equal(a._optinfo["key"], array(a, copy=True)._optinfo["key"])
+        assert_equal(a._optinfo["key"], np.zeros_like(a)._optinfo["key"])
+
+    def test_fancy_printoptions(self):
+        # Test printing a masked array w/ fancy dtype.
+        fancydtype = np.dtype([('x', int), ('y', [('t', int), ('s', float)])])
+        test = array([(1, (2, 3.0)), (4, (5, 6.0))],
+                     mask=[(1, (0, 1)), (0, (1, 0))],
+                     dtype=fancydtype)
+        control = "[(--, (2, --)) (4, (--, 6.0))]"
+        assert_equal(str(test), control)
+
+        # Test 0-d array with multi-dimensional dtype
+        t_2d0 = masked_array(data = (0, [[0.0, 0.0, 0.0],
+                                        [0.0, 0.0, 0.0]],
+                                    0.0),
+                             mask = (False, [[True, False, True],
+                                             [False, False, True]],
+                                     False),
+                             dtype = "int, (2,3)float, float")
+        control = "(0, [[--, 0.0, --], [0.0, 0.0, --]], 0.0)"
+        assert_equal(str(t_2d0), control)
+
+    def test_flatten_structured_array(self):
+        # Test flatten_structured_array on arrays
+        # On ndarray
+        ndtype = [('a', int), ('b', float)]
+        a = np.array([(1, 1), (2, 2)], dtype=ndtype)
+        test = flatten_structured_array(a)
+        control = np.array([[1., 1.], [2., 2.]], dtype=float)
+        assert_equal(test, control)
+        assert_equal(test.dtype, control.dtype)
+        # On masked_array
+        a = array([(1, 1), (2, 2)], mask=[(0, 1), (1, 0)], dtype=ndtype)
+        test = flatten_structured_array(a)
+        control = array([[1., 1.], [2., 2.]],
+                        mask=[[0, 1], [1, 0]], dtype=float)
+        assert_equal(test, control)
+        assert_equal(test.dtype, control.dtype)
+        assert_equal(test.mask, control.mask)
+        # On masked array with nested structure
+        ndtype = [('a', int), ('b', [('ba', int), ('bb', float)])]
+        a = array([(1, (1, 1.1)), (2, (2, 2.2))],
+                  mask=[(0, (1, 0)), (1, (0, 1))], dtype=ndtype)
+        test = flatten_structured_array(a)
+        control = array([[1., 1., 1.1], [2., 2., 2.2]],
+                        mask=[[0, 1, 0], [1, 0, 1]], dtype=float)
+        assert_equal(test, control)
+        assert_equal(test.dtype, control.dtype)
+        assert_equal(test.mask, control.mask)
+        # Keeping the initial shape
+        ndtype = [('a', int), ('b', float)]
+        a = np.array([[(1, 1), ], [(2, 2), ]], dtype=ndtype)
+        test = flatten_structured_array(a)
+        control = np.array([[[1., 1.], ], [[2., 2.], ]], dtype=float)
+        assert_equal(test, control)
+        assert_equal(test.dtype, control.dtype)
+
+    def test_void0d(self):
+        # Test creating a mvoid object
+        ndtype = [('a', int), ('b', int)]
+        a = np.array([(1, 2,)], dtype=ndtype)[0]
+        f = mvoid(a)
+        assert_(isinstance(f, mvoid))
+
+        a = masked_array([(1, 2)], mask=[(1, 0)], dtype=ndtype)[0]
+        assert_(isinstance(a, mvoid))
+
+        a = masked_array([(1, 2), (1, 2)], mask=[(1, 0), (0, 0)], dtype=ndtype)
+        f = mvoid(a._data[0], a._mask[0])
+        assert_(isinstance(f, mvoid))
+
+    def test_mvoid_getitem(self):
+        # Test mvoid.__getitem__
+        ndtype = [('a', int), ('b', int)]
+        a = masked_array([(1, 2,), (3, 4)], mask=[(0, 0), (1, 0)],
+                         dtype=ndtype)
+        # w/o mask
+        f = a[0]
+        assert_(isinstance(f, mvoid))
+        assert_equal((f[0], f['a']), (1, 1))
+        assert_equal(f['b'], 2)
+        # w/ mask
+        f = a[1]
+        assert_(isinstance(f, mvoid))
+        assert_(f[0] is masked)
+        assert_(f['a'] is masked)
+        assert_equal(f[1], 4)
+
+        # exotic dtype
+        A = masked_array(data=[([0,1],)],
+                         mask=[([True, False],)],
+                         dtype=[("A", ">i2", (2,))])
+        assert_equal(A[0]["A"], A["A"][0])
+        assert_equal(A[0]["A"], masked_array(data=[0, 1],
+                         mask=[True, False], dtype=">i2"))
+
+    def test_mvoid_iter(self):
+        # Test iteration on __getitem__
+        ndtype = [('a', int), ('b', int)]
+        a = masked_array([(1, 2,), (3, 4)], mask=[(0, 0), (1, 0)],
+                         dtype=ndtype)
+        # w/o mask
+        assert_equal(list(a[0]), [1, 2])
+        # w/ mask
+        assert_equal(list(a[1]), [masked, 4])
+
+    def test_mvoid_print(self):
+        # Test printing a mvoid
+        mx = array([(1, 1), (2, 2)], dtype=[('a', int), ('b', int)])
+        assert_equal(str(mx[0]), "(1, 1)")
+        mx['b'][0] = masked
+        ini_display = masked_print_option._display
+        masked_print_option.set_display("-X-")
+        try:
+            assert_equal(str(mx[0]), "(1, -X-)")
+            assert_equal(repr(mx[0]), "(1, -X-)")
+        finally:
+            masked_print_option.set_display(ini_display)
+
+        # also check if there are object datatypes (see gh-7493)
+        mx = array([(1,), (2,)], dtype=[('a', 'O')])
+        assert_equal(str(mx[0]), "(1,)")
+
+    def test_mvoid_multidim_print(self):
+
+        # regression test for gh-6019
+        t_ma = masked_array(data = [([1, 2, 3],)],
+                            mask = [([False, True, False],)],
+                            fill_value = ([999999, 999999, 999999],),
+                            dtype = [('a', ' 1:
+            assert_equal(np.concatenate((x, y), 1), concatenate((xm, ym), 1))
+            assert_equal(np.add.reduce(x, 1), add.reduce(x, 1))
+            assert_equal(np.sum(x, 1), sum(x, 1))
+            assert_equal(np.prod(x, 1), product(x, 1))
+
+    def test_binops_d2D(self):
+        # Test binary operations on 2D data
+        a = array([[1.], [2.], [3.]], mask=[[False], [True], [True]])
+        b = array([[2., 3.], [4., 5.], [6., 7.]])
+
+        test = a * b
+        control = array([[2., 3.], [2., 2.], [3., 3.]],
+                        mask=[[0, 0], [1, 1], [1, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+        test = b * a
+        control = array([[2., 3.], [4., 5.], [6., 7.]],
+                        mask=[[0, 0], [1, 1], [1, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+        a = array([[1.], [2.], [3.]])
+        b = array([[2., 3.], [4., 5.], [6., 7.]],
+                  mask=[[0, 0], [0, 0], [0, 1]])
+        test = a * b
+        control = array([[2, 3], [8, 10], [18, 3]],
+                        mask=[[0, 0], [0, 0], [0, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+        test = b * a
+        control = array([[2, 3], [8, 10], [18, 7]],
+                        mask=[[0, 0], [0, 0], [0, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+    def test_domained_binops_d2D(self):
+        # Test domained binary operations on 2D data
+        a = array([[1.], [2.], [3.]], mask=[[False], [True], [True]])
+        b = array([[2., 3.], [4., 5.], [6., 7.]])
+
+        test = a / b
+        control = array([[1. / 2., 1. / 3.], [2., 2.], [3., 3.]],
+                        mask=[[0, 0], [1, 1], [1, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+        test = b / a
+        control = array([[2. / 1., 3. / 1.], [4., 5.], [6., 7.]],
+                        mask=[[0, 0], [1, 1], [1, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+        a = array([[1.], [2.], [3.]])
+        b = array([[2., 3.], [4., 5.], [6., 7.]],
+                  mask=[[0, 0], [0, 0], [0, 1]])
+        test = a / b
+        control = array([[1. / 2, 1. / 3], [2. / 4, 2. / 5], [3. / 6, 3]],
+                        mask=[[0, 0], [0, 0], [0, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+        test = b / a
+        control = array([[2 / 1., 3 / 1.], [4 / 2., 5 / 2.], [6 / 3., 7]],
+                        mask=[[0, 0], [0, 0], [0, 1]])
+        assert_equal(test, control)
+        assert_equal(test.data, control.data)
+        assert_equal(test.mask, control.mask)
+
+    def test_noshrinking(self):
+        # Check that we don't shrink a mask when not wanted
+        # Binary operations
+        a = masked_array([1., 2., 3.], mask=[False, False, False],
+                         shrink=False)
+        b = a + 1
+        assert_equal(b.mask, [0, 0, 0])
+        # In place binary operation
+        a += 1
+        assert_equal(a.mask, [0, 0, 0])
+        # Domained binary operation
+        b = a / 1.
+        assert_equal(b.mask, [0, 0, 0])
+        # In place binary operation
+        a /= 1.
+        assert_equal(a.mask, [0, 0, 0])
+
+    def test_ufunc_nomask(self):
+        # check the case ufuncs should set the mask to false
+        m = np.ma.array([1])
+        # check we don't get array([False], dtype=bool)
+        assert_equal(np.true_divide(m, 5).mask.shape, ())
+
+    def test_noshink_on_creation(self):
+        # Check that the mask is not shrunk on array creation when not wanted
+        a = np.ma.masked_values([1., 2.5, 3.1], 1.5, shrink=False)
+        assert_equal(a.mask, [0, 0, 0])
+
+    def test_mod(self):
+        # Tests mod
+        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
+        assert_equal(mod(x, y), mod(xm, ym))
+        test = mod(ym, xm)
+        assert_equal(test, np.mod(ym, xm))
+        assert_equal(test.mask, mask_or(xm.mask, ym.mask))
+        test = mod(xm, ym)
+        assert_equal(test, np.mod(xm, ym))
+        assert_equal(test.mask, mask_or(mask_or(xm.mask, ym.mask), (ym == 0)))
+
+    def test_TakeTransposeInnerOuter(self):
+        # Test of take, transpose, inner, outer products
+        x = arange(24)
+        y = np.arange(24)
+        x[5:6] = masked
+        x = x.reshape(2, 3, 4)
+        y = y.reshape(2, 3, 4)
+        assert_equal(np.transpose(y, (2, 0, 1)), transpose(x, (2, 0, 1)))
+        assert_equal(np.take(y, (2, 0, 1), 1), take(x, (2, 0, 1), 1))
+        assert_equal(np.inner(filled(x, 0), filled(y, 0)),
+                     inner(x, y))
+        assert_equal(np.outer(filled(x, 0), filled(y, 0)),
+                     outer(x, y))
+        y = array(['abc', 1, 'def', 2, 3], object)
+        y[2] = masked
+        t = take(y, [0, 3, 4])
+        assert_(t[0] == 'abc')
+        assert_(t[1] == 2)
+        assert_(t[2] == 3)
+
+    def test_imag_real(self):
+        # Check complex
+        xx = array([1 + 10j, 20 + 2j], mask=[1, 0])
+        assert_equal(xx.imag, [10, 2])
+        assert_equal(xx.imag.filled(), [1e+20, 2])
+        assert_equal(xx.imag.dtype, xx._data.imag.dtype)
+        assert_equal(xx.real, [1, 20])
+        assert_equal(xx.real.filled(), [1e+20, 20])
+        assert_equal(xx.real.dtype, xx._data.real.dtype)
+
+    def test_methods_with_output(self):
+        xm = array(np.random.uniform(0, 10, 12)).reshape(3, 4)
+        xm[:, 0] = xm[0] = xm[-1, -1] = masked
+
+        funclist = ('sum', 'prod', 'var', 'std', 'max', 'min', 'ptp', 'mean',)
+
+        for funcname in funclist:
+            npfunc = getattr(np, funcname)
+            xmmeth = getattr(xm, funcname)
+            # A ndarray as explicit input
+            output = np.empty(4, dtype=float)
+            output.fill(-9999)
+            result = npfunc(xm, axis=0, out=output)
+            # ... the result should be the given output
+            assert_(result is output)
+            assert_equal(result, xmmeth(axis=0, out=output))
+
+            output = empty(4, dtype=int)
+            result = xmmeth(axis=0, out=output)
+            assert_(result is output)
+            assert_(output[0] is masked)
+
+    def test_eq_on_structured(self):
+        # Test the equality of structured arrays
+        ndtype = [('A', int), ('B', int)]
+        a = array([(1, 1), (2, 2)], mask=[(0, 1), (0, 0)], dtype=ndtype)
+
+        test = (a == a)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [False, False])
+        assert_(test.fill_value == True)
+
+        test = (a == a[0])
+        assert_equal(test.data, [True, False])
+        assert_equal(test.mask, [False, False])
+        assert_(test.fill_value == True)
+
+        b = array([(1, 1), (2, 2)], mask=[(1, 0), (0, 0)], dtype=ndtype)
+        test = (a == b)
+        assert_equal(test.data, [False, True])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        test = (a[0] == b)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        b = array([(1, 1), (2, 2)], mask=[(0, 1), (1, 0)], dtype=ndtype)
+        test = (a == b)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [False, False])
+        assert_(test.fill_value == True)
+
+        # complicated dtype, 2-dimensional array.
+        ndtype = [('A', int), ('B', [('BA', int), ('BB', int)])]
+        a = array([[(1, (1, 1)), (2, (2, 2))],
+                   [(3, (3, 3)), (4, (4, 4))]],
+                  mask=[[(0, (1, 0)), (0, (0, 1))],
+                        [(1, (0, 0)), (1, (1, 1))]], dtype=ndtype)
+        test = (a[0, 0] == a)
+        assert_equal(test.data, [[True, False], [False, False]])
+        assert_equal(test.mask, [[False, False], [False, True]])
+        assert_(test.fill_value == True)
+
+    def test_ne_on_structured(self):
+        # Test the equality of structured arrays
+        ndtype = [('A', int), ('B', int)]
+        a = array([(1, 1), (2, 2)], mask=[(0, 1), (0, 0)], dtype=ndtype)
+
+        test = (a != a)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [False, False])
+        assert_(test.fill_value == True)
+
+        test = (a != a[0])
+        assert_equal(test.data, [False, True])
+        assert_equal(test.mask, [False, False])
+        assert_(test.fill_value == True)
+
+        b = array([(1, 1), (2, 2)], mask=[(1, 0), (0, 0)], dtype=ndtype)
+        test = (a != b)
+        assert_equal(test.data, [True, False])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        test = (a[0] != b)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        b = array([(1, 1), (2, 2)], mask=[(0, 1), (1, 0)], dtype=ndtype)
+        test = (a != b)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [False, False])
+        assert_(test.fill_value == True)
+
+        # complicated dtype, 2-dimensional array.
+        ndtype = [('A', int), ('B', [('BA', int), ('BB', int)])]
+        a = array([[(1, (1, 1)), (2, (2, 2))],
+                   [(3, (3, 3)), (4, (4, 4))]],
+                  mask=[[(0, (1, 0)), (0, (0, 1))],
+                        [(1, (0, 0)), (1, (1, 1))]], dtype=ndtype)
+        test = (a[0, 0] != a)
+        assert_equal(test.data, [[False, True], [True, True]])
+        assert_equal(test.mask, [[False, False], [False, True]])
+        assert_(test.fill_value == True)
+
+    def test_eq_ne_structured_with_non_masked(self):
+        a = array([(1, 1), (2, 2), (3, 4)],
+                  mask=[(0, 1), (0, 0), (1, 1)], dtype='i4,i4')
+        eq = a == a.data
+        ne = a.data != a
+        # Test the obvious.
+        assert_(np.all(eq))
+        assert_(not np.any(ne))
+        # Expect the mask set only for items with all fields masked.
+        expected_mask = a.mask == np.ones((), a.mask.dtype)
+        assert_array_equal(eq.mask, expected_mask)
+        assert_array_equal(ne.mask, expected_mask)
+        # The masked element will indicated not equal, because the
+        # masks did not match.
+        assert_equal(eq.data, [True, True, False])
+        assert_array_equal(eq.data, ~ne.data)
+
+    def test_eq_ne_structured_extra(self):
+        # ensure simple examples are symmetric and make sense.
+        # from https://github.com/numpy/numpy/pull/8590#discussion_r101126465
+        dt = np.dtype('i4,i4')
+        for m1 in (mvoid((1, 2), mask=(0, 0), dtype=dt),
+                   mvoid((1, 2), mask=(0, 1), dtype=dt),
+                   mvoid((1, 2), mask=(1, 0), dtype=dt),
+                   mvoid((1, 2), mask=(1, 1), dtype=dt)):
+            ma1 = m1.view(MaskedArray)
+            r1 = ma1.view('2i4')
+            for m2 in (np.array((1, 1), dtype=dt),
+                       mvoid((1, 1), dtype=dt),
+                       mvoid((1, 0), mask=(0, 1), dtype=dt),
+                       mvoid((3, 2), mask=(0, 1), dtype=dt)):
+                ma2 = m2.view(MaskedArray)
+                r2 = ma2.view('2i4')
+                eq_expected = (r1 == r2).all()
+                assert_equal(m1 == m2, eq_expected)
+                assert_equal(m2 == m1, eq_expected)
+                assert_equal(ma1 == m2, eq_expected)
+                assert_equal(m1 == ma2, eq_expected)
+                assert_equal(ma1 == ma2, eq_expected)
+                # Also check it is the same if we do it element by element.
+                el_by_el = [m1[name] == m2[name] for name in dt.names]
+                assert_equal(array(el_by_el, dtype=bool).all(), eq_expected)
+                ne_expected = (r1 != r2).any()
+                assert_equal(m1 != m2, ne_expected)
+                assert_equal(m2 != m1, ne_expected)
+                assert_equal(ma1 != m2, ne_expected)
+                assert_equal(m1 != ma2, ne_expected)
+                assert_equal(ma1 != ma2, ne_expected)
+                el_by_el = [m1[name] != m2[name] for name in dt.names]
+                assert_equal(array(el_by_el, dtype=bool).any(), ne_expected)
+
+    @pytest.mark.parametrize('dt', ['S', 'U'])
+    @pytest.mark.parametrize('fill', [None, 'A'])
+    def test_eq_for_strings(self, dt, fill):
+        # Test the equality of structured arrays
+        a = array(['a', 'b'], dtype=dt, mask=[0, 1], fill_value=fill)
+
+        test = (a == a)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        test = (a == a[0])
+        assert_equal(test.data, [True, False])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        b = array(['a', 'b'], dtype=dt, mask=[1, 0], fill_value=fill)
+        test = (a == b)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [True, True])
+        assert_(test.fill_value == True)
+
+        test = (a[0] == b)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        test = (b == a[0])
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+    @pytest.mark.parametrize('dt', ['S', 'U'])
+    @pytest.mark.parametrize('fill', [None, 'A'])
+    def test_ne_for_strings(self, dt, fill):
+        # Test the equality of structured arrays
+        a = array(['a', 'b'], dtype=dt, mask=[0, 1], fill_value=fill)
+
+        test = (a != a)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        test = (a != a[0])
+        assert_equal(test.data, [False, True])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        b = array(['a', 'b'], dtype=dt, mask=[1, 0], fill_value=fill)
+        test = (a != b)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [True, True])
+        assert_(test.fill_value == True)
+
+        test = (a[0] != b)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        test = (b != a[0])
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+    @pytest.mark.parametrize('dt1', num_dts, ids=num_ids)
+    @pytest.mark.parametrize('dt2', num_dts, ids=num_ids)
+    @pytest.mark.parametrize('fill', [None, 1])
+    def test_eq_for_numeric(self, dt1, dt2, fill):
+        # Test the equality of structured arrays
+        a = array([0, 1], dtype=dt1, mask=[0, 1], fill_value=fill)
+
+        test = (a == a)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        test = (a == a[0])
+        assert_equal(test.data, [True, False])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        b = array([0, 1], dtype=dt2, mask=[1, 0], fill_value=fill)
+        test = (a == b)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [True, True])
+        assert_(test.fill_value == True)
+
+        test = (a[0] == b)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        test = (b == a[0])
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+    @pytest.mark.parametrize("op", [operator.eq, operator.lt])
+    def test_eq_broadcast_with_unmasked(self, op):
+        a = array([0, 1], mask=[0, 1])
+        b = np.arange(10).reshape(5, 2)
+        result = op(a, b)
+        assert_(result.mask.shape == b.shape)
+        assert_equal(result.mask, np.zeros(b.shape, bool) | a.mask)
+
+    @pytest.mark.parametrize("op", [operator.eq, operator.gt])
+    def test_comp_no_mask_not_broadcast(self, op):
+        # Regression test for failing doctest in MaskedArray.nonzero
+        # after gh-24556.
+        a = array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
+        result = op(a, 3)
+        assert_(not result.mask.shape)
+        assert_(result.mask is nomask)
+
+    @pytest.mark.parametrize('dt1', num_dts, ids=num_ids)
+    @pytest.mark.parametrize('dt2', num_dts, ids=num_ids)
+    @pytest.mark.parametrize('fill', [None, 1])
+    def test_ne_for_numeric(self, dt1, dt2, fill):
+        # Test the equality of structured arrays
+        a = array([0, 1], dtype=dt1, mask=[0, 1], fill_value=fill)
+
+        test = (a != a)
+        assert_equal(test.data, [False, False])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        test = (a != a[0])
+        assert_equal(test.data, [False, True])
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        b = array([0, 1], dtype=dt2, mask=[1, 0], fill_value=fill)
+        test = (a != b)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [True, True])
+        assert_(test.fill_value == True)
+
+        test = (a[0] != b)
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        test = (b != a[0])
+        assert_equal(test.data, [True, True])
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+    @pytest.mark.parametrize('dt1', num_dts, ids=num_ids)
+    @pytest.mark.parametrize('dt2', num_dts, ids=num_ids)
+    @pytest.mark.parametrize('fill', [None, 1])
+    @pytest.mark.parametrize('op',
+            [operator.le, operator.lt, operator.ge, operator.gt])
+    def test_comparisons_for_numeric(self, op, dt1, dt2, fill):
+        # Test the equality of structured arrays
+        a = array([0, 1], dtype=dt1, mask=[0, 1], fill_value=fill)
+
+        test = op(a, a)
+        assert_equal(test.data, op(a._data, a._data))
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        test = op(a, a[0])
+        assert_equal(test.data, op(a._data, a._data[0]))
+        assert_equal(test.mask, [False, True])
+        assert_(test.fill_value == True)
+
+        b = array([0, 1], dtype=dt2, mask=[1, 0], fill_value=fill)
+        test = op(a, b)
+        assert_equal(test.data, op(a._data, b._data))
+        assert_equal(test.mask, [True, True])
+        assert_(test.fill_value == True)
+
+        test = op(a[0], b)
+        assert_equal(test.data, op(a._data[0], b._data))
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+        test = op(b, a[0])
+        assert_equal(test.data, op(b._data, a._data[0]))
+        assert_equal(test.mask, [True, False])
+        assert_(test.fill_value == True)
+
+    @pytest.mark.parametrize('op',
+            [operator.le, operator.lt, operator.ge, operator.gt])
+    @pytest.mark.parametrize('fill', [None, "N/A"])
+    def test_comparisons_strings(self, op, fill):
+        # See gh-21770, mask propagation is broken for strings (and some other
+        # cases) so we explicitly test strings here.
+        # In principle only == and != may need special handling...
+        ma1 = masked_array(["a", "b", "cde"], mask=[0, 1, 0], fill_value=fill)
+        ma2 = masked_array(["cde", "b", "a"], mask=[0, 1, 0], fill_value=fill)
+        assert_equal(op(ma1, ma2)._data, op(ma1._data, ma2._data))
+
+    def test_eq_with_None(self):
+        # Really, comparisons with None should not be done, but check them
+        # anyway. Note that pep8 will flag these tests.
+        # Deprecation is in place for arrays, and when it happens this
+        # test will fail (and have to be changed accordingly).
+
+        # With partial mask
+        with suppress_warnings() as sup:
+            sup.filter(FutureWarning, "Comparison to `None`")
+            a = array([None, 1], mask=[0, 1])
+            assert_equal(a == None, array([True, False], mask=[0, 1]))  # noqa: E711
+            assert_equal(a.data == None, [True, False])  # noqa: E711
+            assert_equal(a != None, array([False, True], mask=[0, 1]))  # noqa: E711
+            # With nomask
+            a = array([None, 1], mask=False)
+            assert_equal(a == None, [True, False])  # noqa: E711
+            assert_equal(a != None, [False, True])  # noqa: E711
+            # With complete mask
+            a = array([None, 2], mask=True)
+            assert_equal(a == None, array([False, True], mask=True))  # noqa: E711
+            assert_equal(a != None, array([True, False], mask=True))  # noqa: E711
+            # Fully masked, even comparison to None should return "masked"
+            a = masked
+            assert_equal(a == None, masked)  # noqa: E711
+
+    def test_eq_with_scalar(self):
+        a = array(1)
+        assert_equal(a == 1, True)
+        assert_equal(a == 0, False)
+        assert_equal(a != 1, False)
+        assert_equal(a != 0, True)
+        b = array(1, mask=True)
+        assert_equal(b == 0, masked)
+        assert_equal(b == 1, masked)
+        assert_equal(b != 0, masked)
+        assert_equal(b != 1, masked)
+
+    def test_eq_different_dimensions(self):
+        m1 = array([1, 1], mask=[0, 1])
+        # test comparison with both masked and regular arrays.
+        for m2 in (array([[0, 1], [1, 2]]),
+                   np.array([[0, 1], [1, 2]])):
+            test = (m1 == m2)
+            assert_equal(test.data, [[False, False],
+                                     [True, False]])
+            assert_equal(test.mask, [[False, True],
+                                     [False, True]])
+
+    def test_numpyarithmetic(self):
+        # Check that the mask is not back-propagated when using numpy functions
+        a = masked_array([-1, 0, 1, 2, 3], mask=[0, 0, 0, 0, 1])
+        control = masked_array([np.nan, np.nan, 0, np.log(2), -1],
+                               mask=[1, 1, 0, 0, 1])
+
+        test = log(a)
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+        assert_equal(a.mask, [0, 0, 0, 0, 1])
+
+        test = np.log(a)
+        assert_equal(test, control)
+        assert_equal(test.mask, control.mask)
+        assert_equal(a.mask, [0, 0, 0, 0, 1])
+
+
+class TestMaskedArrayAttributes:
+
+    def test_keepmask(self):
+        # Tests the keep mask flag
+        x = masked_array([1, 2, 3], mask=[1, 0, 0])
+        mx = masked_array(x)
+        assert_equal(mx.mask, x.mask)
+        mx = masked_array(x, mask=[0, 1, 0], keep_mask=False)
+        assert_equal(mx.mask, [0, 1, 0])
+        mx = masked_array(x, mask=[0, 1, 0], keep_mask=True)
+        assert_equal(mx.mask, [1, 1, 0])
+        # We default to true
+        mx = masked_array(x, mask=[0, 1, 0])
+        assert_equal(mx.mask, [1, 1, 0])
+
+    def test_hardmask(self):
+        # Test hard_mask
+        d = arange(5)
+        n = [0, 0, 0, 1, 1]
+        m = make_mask(n)
+        xh = array(d, mask=m, hard_mask=True)
+        # We need to copy, to avoid updating d in xh !
+        xs = array(d, mask=m, hard_mask=False, copy=True)
+        xh[[1, 4]] = [10, 40]
+        xs[[1, 4]] = [10, 40]
+        assert_equal(xh._data, [0, 10, 2, 3, 4])
+        assert_equal(xs._data, [0, 10, 2, 3, 40])
+        assert_equal(xs.mask, [0, 0, 0, 1, 0])
+        assert_(xh._hardmask)
+        assert_(not xs._hardmask)
+        xh[1:4] = [10, 20, 30]
+        xs[1:4] = [10, 20, 30]
+        assert_equal(xh._data, [0, 10, 20, 3, 4])
+        assert_equal(xs._data, [0, 10, 20, 30, 40])
+        assert_equal(xs.mask, nomask)
+        xh[0] = masked
+        xs[0] = masked
+        assert_equal(xh.mask, [1, 0, 0, 1, 1])
+        assert_equal(xs.mask, [1, 0, 0, 0, 0])
+        xh[:] = 1
+        xs[:] = 1
+        assert_equal(xh._data, [0, 1, 1, 3, 4])
+        assert_equal(xs._data, [1, 1, 1, 1, 1])
+        assert_equal(xh.mask, [1, 0, 0, 1, 1])
+        assert_equal(xs.mask, nomask)
+        # Switch to soft mask
+        xh.soften_mask()
+        xh[:] = arange(5)
+        assert_equal(xh._data, [0, 1, 2, 3, 4])
+        assert_equal(xh.mask, nomask)
+        # Switch back to hard mask
+        xh.harden_mask()
+        xh[xh < 3] = masked
+        assert_equal(xh._data, [0, 1, 2, 3, 4])
+        assert_equal(xh._mask, [1, 1, 1, 0, 0])
+        xh[filled(xh > 1, False)] = 5
+        assert_equal(xh._data, [0, 1, 2, 5, 5])
+        assert_equal(xh._mask, [1, 1, 1, 0, 0])
+
+        xh = array([[1, 2], [3, 4]], mask=[[1, 0], [0, 0]], hard_mask=True)
+        xh[0] = 0
+        assert_equal(xh._data, [[1, 0], [3, 4]])
+        assert_equal(xh._mask, [[1, 0], [0, 0]])
+        xh[-1, -1] = 5
+        assert_equal(xh._data, [[1, 0], [3, 5]])
+        assert_equal(xh._mask, [[1, 0], [0, 0]])
+        xh[filled(xh < 5, False)] = 2
+        assert_equal(xh._data, [[1, 2], [2, 5]])
+        assert_equal(xh._mask, [[1, 0], [0, 0]])
+
+    def test_hardmask_again(self):
+        # Another test of hardmask
+        d = arange(5)
+        n = [0, 0, 0, 1, 1]
+        m = make_mask(n)
+        xh = array(d, mask=m, hard_mask=True)
+        xh[4:5] = 999
+        xh[0:1] = 999
+        assert_equal(xh._data, [999, 1, 2, 3, 4])
+
+    def test_hardmask_oncemore_yay(self):
+        # OK, yet another test of hardmask
+        # Make sure that harden_mask/soften_mask//unshare_mask returns self
+        a = array([1, 2, 3], mask=[1, 0, 0])
+        b = a.harden_mask()
+        assert_equal(a, b)
+        b[0] = 0
+        assert_equal(a, b)
+        assert_equal(b, array([1, 2, 3], mask=[1, 0, 0]))
+        a = b.soften_mask()
+        a[0] = 0
+        assert_equal(a, b)
+        assert_equal(b, array([0, 2, 3], mask=[0, 0, 0]))
+
+    def test_smallmask(self):
+        # Checks the behaviour of _smallmask
+        a = arange(10)
+        a[1] = masked
+        a[1] = 1
+        assert_equal(a._mask, nomask)
+        a = arange(10)
+        a._smallmask = False
+        a[1] = masked
+        a[1] = 1
+        assert_equal(a._mask, zeros(10))
+
+    def test_shrink_mask(self):
+        # Tests .shrink_mask()
+        a = array([1, 2, 3], mask=[0, 0, 0])
+        b = a.shrink_mask()
+        assert_equal(a, b)
+        assert_equal(a.mask, nomask)
+
+        # Mask cannot be shrunk on structured types, so is a no-op
+        a = np.ma.array([(1, 2.0)], [('a', int), ('b', float)])
+        b = a.copy()
+        a.shrink_mask()
+        assert_equal(a.mask, b.mask)
+
+    def test_flat(self):
+        # Test that flat can return all types of items [#4585, #4615]
+        # test 2-D record array
+        # ... on structured array w/ masked records
+        x = array([[(1, 1.1, 'one'), (2, 2.2, 'two'), (3, 3.3, 'thr')],
+                   [(4, 4.4, 'fou'), (5, 5.5, 'fiv'), (6, 6.6, 'six')]],
+                  dtype=[('a', int), ('b', float), ('c', '|S8')])
+        x['a'][0, 1] = masked
+        x['b'][1, 0] = masked
+        x['c'][0, 2] = masked
+        x[-1, -1] = masked
+        xflat = x.flat
+        assert_equal(xflat[0], x[0, 0])
+        assert_equal(xflat[1], x[0, 1])
+        assert_equal(xflat[2], x[0, 2])
+        assert_equal(xflat[:3], x[0])
+        assert_equal(xflat[3], x[1, 0])
+        assert_equal(xflat[4], x[1, 1])
+        assert_equal(xflat[5], x[1, 2])
+        assert_equal(xflat[3:], x[1])
+        assert_equal(xflat[-1], x[-1, -1])
+        i = 0
+        j = 0
+        for xf in xflat:
+            assert_equal(xf, x[j, i])
+            i += 1
+            if i >= x.shape[-1]:
+                i = 0
+                j += 1
+
+    def test_assign_dtype(self):
+        # check that the mask's dtype is updated when dtype is changed
+        a = np.zeros(4, dtype='f4,i4')
+
+        m = np.ma.array(a)
+        m.dtype = np.dtype('f4')
+        repr(m)  # raises?
+        assert_equal(m.dtype, np.dtype('f4'))
+
+        # check that dtype changes that change shape of mask too much
+        # are not allowed
+        def assign():
+            m = np.ma.array(a)
+            m.dtype = np.dtype('f8')
+        assert_raises(ValueError, assign)
+
+        b = a.view(dtype='f4', type=np.ma.MaskedArray)  # raises?
+        assert_equal(b.dtype, np.dtype('f4'))
+
+        # check that nomask is preserved
+        a = np.zeros(4, dtype='f4')
+        m = np.ma.array(a)
+        m.dtype = np.dtype('f4,i4')
+        assert_equal(m.dtype, np.dtype('f4,i4'))
+        assert_equal(m._mask, np.ma.nomask)
+
+
+class TestFillingValues:
+
+    def test_check_on_scalar(self):
+        # Test _check_fill_value set to valid and invalid values
+        _check_fill_value = np.ma.core._check_fill_value
+
+        fval = _check_fill_value(0, int)
+        assert_equal(fval, 0)
+        fval = _check_fill_value(None, int)
+        assert_equal(fval, default_fill_value(0))
+
+        fval = _check_fill_value(0, "|S3")
+        assert_equal(fval, b"0")
+        fval = _check_fill_value(None, "|S3")
+        assert_equal(fval, default_fill_value(b"camelot!"))
+        assert_raises(TypeError, _check_fill_value, 1e+20, int)
+        assert_raises(TypeError, _check_fill_value, 'stuff', int)
+
+    def test_check_on_fields(self):
+        # Tests _check_fill_value with records
+        _check_fill_value = np.ma.core._check_fill_value
+        ndtype = [('a', int), ('b', float), ('c', "|S3")]
+        # A check on a list should return a single record
+        fval = _check_fill_value([-999, -12345678.9, "???"], ndtype)
+        assert_(isinstance(fval, ndarray))
+        assert_equal(fval.item(), [-999, -12345678.9, b"???"])
+        # A check on None should output the defaults
+        fval = _check_fill_value(None, ndtype)
+        assert_(isinstance(fval, ndarray))
+        assert_equal(fval.item(), [default_fill_value(0),
+                                   default_fill_value(0.),
+                                   asbytes(default_fill_value("0"))])
+        #.....Using a structured type as fill_value should work
+        fill_val = np.array((-999, -12345678.9, "???"), dtype=ndtype)
+        fval = _check_fill_value(fill_val, ndtype)
+        assert_(isinstance(fval, ndarray))
+        assert_equal(fval.item(), [-999, -12345678.9, b"???"])
+
+        #.....Using a flexible type w/ a different type shouldn't matter
+        # BEHAVIOR in 1.5 and earlier, and 1.13 and later: match structured
+        # types by position
+        fill_val = np.array((-999, -12345678.9, "???"),
+                            dtype=[("A", int), ("B", float), ("C", "|S3")])
+        fval = _check_fill_value(fill_val, ndtype)
+        assert_(isinstance(fval, ndarray))
+        assert_equal(fval.item(), [-999, -12345678.9, b"???"])
+
+        #.....Using an object-array shouldn't matter either
+        fill_val = np.ndarray(shape=(1,), dtype=object)
+        fill_val[0] = (-999, -12345678.9, b"???")
+        fval = _check_fill_value(fill_val, object)
+        assert_(isinstance(fval, ndarray))
+        assert_equal(fval.item(), [-999, -12345678.9, b"???"])
+        # NOTE: This test was never run properly as "fill_value" rather than
+        # "fill_val" was assigned.  Written properly, it fails.
+        #fill_val = np.array((-999, -12345678.9, "???"))
+        #fval = _check_fill_value(fill_val, ndtype)
+        #assert_(isinstance(fval, ndarray))
+        #assert_equal(fval.item(), [-999, -12345678.9, b"???"])
+        #.....One-field-only flexible type should work as well
+        ndtype = [("a", int)]
+        fval = _check_fill_value(-999999999, ndtype)
+        assert_(isinstance(fval, ndarray))
+        assert_equal(fval.item(), (-999999999,))
+
+    def test_fillvalue_conversion(self):
+        # Tests the behavior of fill_value during conversion
+        # We had a tailored comment to make sure special attributes are
+        # properly dealt with
+        a = array([b'3', b'4', b'5'])
+        a._optinfo.update({'comment':"updated!"})
+
+        b = array(a, dtype=int)
+        assert_equal(b._data, [3, 4, 5])
+        assert_equal(b.fill_value, default_fill_value(0))
+
+        b = array(a, dtype=float)
+        assert_equal(b._data, [3, 4, 5])
+        assert_equal(b.fill_value, default_fill_value(0.))
+
+        b = a.astype(int)
+        assert_equal(b._data, [3, 4, 5])
+        assert_equal(b.fill_value, default_fill_value(0))
+        assert_equal(b._optinfo['comment'], "updated!")
+
+        b = a.astype([('a', '|S3')])
+        assert_equal(b['a']._data, a._data)
+        assert_equal(b['a'].fill_value, a.fill_value)
+
+    def test_default_fill_value(self):
+        # check all calling conventions
+        f1 = default_fill_value(1.)
+        f2 = default_fill_value(np.array(1.))
+        f3 = default_fill_value(np.array(1.).dtype)
+        assert_equal(f1, f2)
+        assert_equal(f1, f3)
+
+    def test_default_fill_value_structured(self):
+        fields = array([(1, 1, 1)],
+                      dtype=[('i', int), ('s', '|S8'), ('f', float)])
+
+        f1 = default_fill_value(fields)
+        f2 = default_fill_value(fields.dtype)
+        expected = np.array((default_fill_value(0),
+                             default_fill_value('0'),
+                             default_fill_value(0.)), dtype=fields.dtype)
+        assert_equal(f1, expected)
+        assert_equal(f2, expected)
+
+    def test_default_fill_value_void(self):
+        dt = np.dtype([('v', 'V7')])
+        f = default_fill_value(dt)
+        assert_equal(f['v'], np.array(default_fill_value(dt['v']), dt['v']))
+
+    def test_fillvalue(self):
+        # Yet more fun with the fill_value
+        data = masked_array([1, 2, 3], fill_value=-999)
+        series = data[[0, 2, 1]]
+        assert_equal(series._fill_value, data._fill_value)
+
+        mtype = [('f', float), ('s', '|S3')]
+        x = array([(1, 'a'), (2, 'b'), (pi, 'pi')], dtype=mtype)
+        x.fill_value = 999
+        assert_equal(x.fill_value.item(), [999., b'999'])
+        assert_equal(x['f'].fill_value, 999)
+        assert_equal(x['s'].fill_value, b'999')
+
+        x.fill_value = (9, '???')
+        assert_equal(x.fill_value.item(), (9, b'???'))
+        assert_equal(x['f'].fill_value, 9)
+        assert_equal(x['s'].fill_value, b'???')
+
+        x = array([1, 2, 3.1])
+        x.fill_value = 999
+        assert_equal(np.asarray(x.fill_value).dtype, float)
+        assert_equal(x.fill_value, 999.)
+        assert_equal(x._fill_value, np.array(999.))
+
+    def test_subarray_fillvalue(self):
+        # gh-10483   test multi-field index fill value
+        fields = array([(1, 1, 1)],
+                      dtype=[('i', int), ('s', '|S8'), ('f', float)])
+        with suppress_warnings() as sup:
+            sup.filter(FutureWarning, "Numpy has detected")
+            subfields = fields[['i', 'f']]
+            assert_equal(tuple(subfields.fill_value), (999999, 1.e+20))
+            # test comparison does not raise:
+            subfields[1:] == subfields[:-1]
+
+    def test_fillvalue_exotic_dtype(self):
+        # Tests yet more exotic flexible dtypes
+        _check_fill_value = np.ma.core._check_fill_value
+        ndtype = [('i', int), ('s', '|S8'), ('f', float)]
+        control = np.array((default_fill_value(0),
+                            default_fill_value('0'),
+                            default_fill_value(0.),),
+                           dtype=ndtype)
+        assert_equal(_check_fill_value(None, ndtype), control)
+        # The shape shouldn't matter
+        ndtype = [('f0', float, (2, 2))]
+        control = np.array((default_fill_value(0.),),
+                           dtype=[('f0', float)]).astype(ndtype)
+        assert_equal(_check_fill_value(None, ndtype), control)
+        control = np.array((0,), dtype=[('f0', float)]).astype(ndtype)
+        assert_equal(_check_fill_value(0, ndtype), control)
+
+        ndtype = np.dtype("int, (2,3)float, float")
+        control = np.array((default_fill_value(0),
+                            default_fill_value(0.),
+                            default_fill_value(0.),),
+                           dtype="int, float, float").astype(ndtype)
+        test = _check_fill_value(None, ndtype)
+        assert_equal(test, control)
+        control = np.array((0, 0, 0), dtype="int, float, float").astype(ndtype)
+        assert_equal(_check_fill_value(0, ndtype), control)
+        # but when indexing, fill value should become scalar not tuple
+        # See issue #6723
+        M = masked_array(control)
+        assert_equal(M["f1"].fill_value.ndim, 0)
+
+    def test_fillvalue_datetime_timedelta(self):
+        # Test default fillvalue for datetime64 and timedelta64 types.
+        # See issue #4476, this would return '?' which would cause errors
+        # elsewhere
+
+        for timecode in ("as", "fs", "ps", "ns", "us", "ms", "s", "m",
+                         "h", "D", "W", "M", "Y"):
+            control = numpy.datetime64("NaT", timecode)
+            test = default_fill_value(numpy.dtype(" 0
+
+            # test different unary domains
+            sqrt(m)
+            log(m)
+            tan(m)
+            arcsin(m)
+            arccos(m)
+            arccosh(m)
+
+            # test binary domains
+            divide(m, 2)
+
+            # also check that allclose uses ma ufuncs, to avoid warning
+            allclose(m, 0.5)
+
+    def test_masked_array_underflow(self):
+        x = np.arange(0, 3, 0.1)
+        X = np.ma.array(x)
+        with np.errstate(under="raise"):
+            X2 = X/2.0
+            np.testing.assert_array_equal(X2, x/2)
+
+class TestMaskedArrayInPlaceArithmetic:
+    # Test MaskedArray Arithmetic
+
+    def setup_method(self):
+        x = arange(10)
+        y = arange(10)
+        xm = arange(10)
+        xm[2] = masked
+        self.intdata = (x, y, xm)
+        self.floatdata = (x.astype(float), y.astype(float), xm.astype(float))
+        self.othertypes = np.typecodes['AllInteger'] + np.typecodes['AllFloat']
+        self.othertypes = [np.dtype(_).type for _ in self.othertypes]
+        self.uint8data = (
+            x.astype(np.uint8),
+            y.astype(np.uint8),
+            xm.astype(np.uint8)
+        )
+
+    def test_inplace_addition_scalar(self):
+        # Test of inplace additions
+        (x, y, xm) = self.intdata
+        xm[2] = masked
+        x += 1
+        assert_equal(x, y + 1)
+        xm += 1
+        assert_equal(xm, y + 1)
+
+        (x, _, xm) = self.floatdata
+        id1 = x.data.ctypes.data
+        x += 1.
+        assert_(id1 == x.data.ctypes.data)
+        assert_equal(x, y + 1.)
+
+    def test_inplace_addition_array(self):
+        # Test of inplace additions
+        (x, y, xm) = self.intdata
+        m = xm.mask
+        a = arange(10, dtype=np.int16)
+        a[-1] = masked
+        x += a
+        xm += a
+        assert_equal(x, y + a)
+        assert_equal(xm, y + a)
+        assert_equal(xm.mask, mask_or(m, a.mask))
+
+    def test_inplace_subtraction_scalar(self):
+        # Test of inplace subtractions
+        (x, y, xm) = self.intdata
+        x -= 1
+        assert_equal(x, y - 1)
+        xm -= 1
+        assert_equal(xm, y - 1)
+
+    def test_inplace_subtraction_array(self):
+        # Test of inplace subtractions
+        (x, y, xm) = self.floatdata
+        m = xm.mask
+        a = arange(10, dtype=float)
+        a[-1] = masked
+        x -= a
+        xm -= a
+        assert_equal(x, y - a)
+        assert_equal(xm, y - a)
+        assert_equal(xm.mask, mask_or(m, a.mask))
+
+    def test_inplace_multiplication_scalar(self):
+        # Test of inplace multiplication
+        (x, y, xm) = self.floatdata
+        x *= 2.0
+        assert_equal(x, y * 2)
+        xm *= 2.0
+        assert_equal(xm, y * 2)
+
+    def test_inplace_multiplication_array(self):
+        # Test of inplace multiplication
+        (x, y, xm) = self.floatdata
+        m = xm.mask
+        a = arange(10, dtype=float)
+        a[-1] = masked
+        x *= a
+        xm *= a
+        assert_equal(x, y * a)
+        assert_equal(xm, y * a)
+        assert_equal(xm.mask, mask_or(m, a.mask))
+
+    def test_inplace_division_scalar_int(self):
+        # Test of inplace division
+        (x, y, xm) = self.intdata
+        x = arange(10) * 2
+        xm = arange(10) * 2
+        xm[2] = masked
+        x //= 2
+        assert_equal(x, y)
+        xm //= 2
+        assert_equal(xm, y)
+
+    def test_inplace_division_scalar_float(self):
+        # Test of inplace division
+        (x, y, xm) = self.floatdata
+        x /= 2.0
+        assert_equal(x, y / 2.0)
+        xm /= arange(10)
+        assert_equal(xm, ones((10,)))
+
+    def test_inplace_division_array_float(self):
+        # Test of inplace division
+        (x, y, xm) = self.floatdata
+        m = xm.mask
+        a = arange(10, dtype=float)
+        a[-1] = masked
+        x /= a
+        xm /= a
+        assert_equal(x, y / a)
+        assert_equal(xm, y / a)
+        assert_equal(xm.mask, mask_or(mask_or(m, a.mask), (a == 0)))
+
+    def test_inplace_division_misc(self):
+
+        x = [1., 1., 1., -2., pi / 2., 4., 5., -10., 10., 1., 2., 3.]
+        y = [5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.]
+        m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]
+        m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1]
+        xm = masked_array(x, mask=m1)
+        ym = masked_array(y, mask=m2)
+
+        z = xm / ym
+        assert_equal(z._mask, [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1])
+        assert_equal(z._data,
+                     [1., 1., 1., -1., -pi / 2., 4., 5., 1., 1., 1., 2., 3.])
+
+        xm = xm.copy()
+        xm /= ym
+        assert_equal(xm._mask, [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1])
+        assert_equal(z._data,
+                     [1., 1., 1., -1., -pi / 2., 4., 5., 1., 1., 1., 2., 3.])
+
+    def test_datafriendly_add(self):
+        # Test keeping data w/ (inplace) addition
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        # Test add w/ scalar
+        xx = x + 1
+        assert_equal(xx.data, [2, 3, 3])
+        assert_equal(xx.mask, [0, 0, 1])
+        # Test iadd w/ scalar
+        x += 1
+        assert_equal(x.data, [2, 3, 3])
+        assert_equal(x.mask, [0, 0, 1])
+        # Test add w/ array
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        xx = x + array([1, 2, 3], mask=[1, 0, 0])
+        assert_equal(xx.data, [1, 4, 3])
+        assert_equal(xx.mask, [1, 0, 1])
+        # Test iadd w/ array
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        x += array([1, 2, 3], mask=[1, 0, 0])
+        assert_equal(x.data, [1, 4, 3])
+        assert_equal(x.mask, [1, 0, 1])
+
+    def test_datafriendly_sub(self):
+        # Test keeping data w/ (inplace) subtraction
+        # Test sub w/ scalar
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        xx = x - 1
+        assert_equal(xx.data, [0, 1, 3])
+        assert_equal(xx.mask, [0, 0, 1])
+        # Test isub w/ scalar
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        x -= 1
+        assert_equal(x.data, [0, 1, 3])
+        assert_equal(x.mask, [0, 0, 1])
+        # Test sub w/ array
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        xx = x - array([1, 2, 3], mask=[1, 0, 0])
+        assert_equal(xx.data, [1, 0, 3])
+        assert_equal(xx.mask, [1, 0, 1])
+        # Test isub w/ array
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        x -= array([1, 2, 3], mask=[1, 0, 0])
+        assert_equal(x.data, [1, 0, 3])
+        assert_equal(x.mask, [1, 0, 1])
+
+    def test_datafriendly_mul(self):
+        # Test keeping data w/ (inplace) multiplication
+        # Test mul w/ scalar
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        xx = x * 2
+        assert_equal(xx.data, [2, 4, 3])
+        assert_equal(xx.mask, [0, 0, 1])
+        # Test imul w/ scalar
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        x *= 2
+        assert_equal(x.data, [2, 4, 3])
+        assert_equal(x.mask, [0, 0, 1])
+        # Test mul w/ array
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        xx = x * array([10, 20, 30], mask=[1, 0, 0])
+        assert_equal(xx.data, [1, 40, 3])
+        assert_equal(xx.mask, [1, 0, 1])
+        # Test imul w/ array
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        x *= array([10, 20, 30], mask=[1, 0, 0])
+        assert_equal(x.data, [1, 40, 3])
+        assert_equal(x.mask, [1, 0, 1])
+
+    def test_datafriendly_div(self):
+        # Test keeping data w/ (inplace) division
+        # Test div on scalar
+        x = array([1, 2, 3], mask=[0, 0, 1])
+        xx = x / 2.
+        assert_equal(xx.data, [1 / 2., 2 / 2., 3])
+        assert_equal(xx.mask, [0, 0, 1])
+        # Test idiv on scalar
+        x = array([1., 2., 3.], mask=[0, 0, 1])
+        x /= 2.
+        assert_equal(x.data, [1 / 2., 2 / 2., 3])
+        assert_equal(x.mask, [0, 0, 1])
+        # Test div on array
+        x = array([1., 2., 3.], mask=[0, 0, 1])
+        xx = x / array([10., 20., 30.], mask=[1, 0, 0])
+        assert_equal(xx.data, [1., 2. / 20., 3.])
+        assert_equal(xx.mask, [1, 0, 1])
+        # Test idiv on array
+        x = array([1., 2., 3.], mask=[0, 0, 1])
+        x /= array([10., 20., 30.], mask=[1, 0, 0])
+        assert_equal(x.data, [1., 2 / 20., 3.])
+        assert_equal(x.mask, [1, 0, 1])
+
+    def test_datafriendly_pow(self):
+        # Test keeping data w/ (inplace) power
+        # Test pow on scalar
+        x = array([1., 2., 3.], mask=[0, 0, 1])
+        xx = x ** 2.5
+        assert_equal(xx.data, [1., 2. ** 2.5, 3.])
+        assert_equal(xx.mask, [0, 0, 1])
+        # Test ipow on scalar
+        x **= 2.5
+        assert_equal(x.data, [1., 2. ** 2.5, 3])
+        assert_equal(x.mask, [0, 0, 1])
+
+    def test_datafriendly_add_arrays(self):
+        a = array([[1, 1], [3, 3]])
+        b = array([1, 1], mask=[0, 0])
+        a += b
+        assert_equal(a, [[2, 2], [4, 4]])
+        if a.mask is not nomask:
+            assert_equal(a.mask, [[0, 0], [0, 0]])
+
+        a = array([[1, 1], [3, 3]])
+        b = array([1, 1], mask=[0, 1])
+        a += b
+        assert_equal(a, [[2, 2], [4, 4]])
+        assert_equal(a.mask, [[0, 1], [0, 1]])
+
+    def test_datafriendly_sub_arrays(self):
+        a = array([[1, 1], [3, 3]])
+        b = array([1, 1], mask=[0, 0])
+        a -= b
+        assert_equal(a, [[0, 0], [2, 2]])
+        if a.mask is not nomask:
+            assert_equal(a.mask, [[0, 0], [0, 0]])
+
+        a = array([[1, 1], [3, 3]])
+        b = array([1, 1], mask=[0, 1])
+        a -= b
+        assert_equal(a, [[0, 0], [2, 2]])
+        assert_equal(a.mask, [[0, 1], [0, 1]])
+
+    def test_datafriendly_mul_arrays(self):
+        a = array([[1, 1], [3, 3]])
+        b = array([1, 1], mask=[0, 0])
+        a *= b
+        assert_equal(a, [[1, 1], [3, 3]])
+        if a.mask is not nomask:
+            assert_equal(a.mask, [[0, 0], [0, 0]])
+
+        a = array([[1, 1], [3, 3]])
+        b = array([1, 1], mask=[0, 1])
+        a *= b
+        assert_equal(a, [[1, 1], [3, 3]])
+        assert_equal(a.mask, [[0, 1], [0, 1]])
+
+    def test_inplace_addition_scalar_type(self):
+        # Test of inplace additions
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                xm[2] = masked
+                x += t(1)
+                assert_equal(x, y + t(1))
+                xm += t(1)
+                assert_equal(xm, y + t(1))
+
+    def test_inplace_addition_array_type(self):
+        # Test of inplace additions
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                m = xm.mask
+                a = arange(10, dtype=t)
+                a[-1] = masked
+                x += a
+                xm += a
+                assert_equal(x, y + a)
+                assert_equal(xm, y + a)
+                assert_equal(xm.mask, mask_or(m, a.mask))
+
+    def test_inplace_subtraction_scalar_type(self):
+        # Test of inplace subtractions
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                x -= t(1)
+                assert_equal(x, y - t(1))
+                xm -= t(1)
+                assert_equal(xm, y - t(1))
+
+    def test_inplace_subtraction_array_type(self):
+        # Test of inplace subtractions
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                m = xm.mask
+                a = arange(10, dtype=t)
+                a[-1] = masked
+                x -= a
+                xm -= a
+                assert_equal(x, y - a)
+                assert_equal(xm, y - a)
+                assert_equal(xm.mask, mask_or(m, a.mask))
+
+    def test_inplace_multiplication_scalar_type(self):
+        # Test of inplace multiplication
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                x *= t(2)
+                assert_equal(x, y * t(2))
+                xm *= t(2)
+                assert_equal(xm, y * t(2))
+
+    def test_inplace_multiplication_array_type(self):
+        # Test of inplace multiplication
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                m = xm.mask
+                a = arange(10, dtype=t)
+                a[-1] = masked
+                x *= a
+                xm *= a
+                assert_equal(x, y * a)
+                assert_equal(xm, y * a)
+                assert_equal(xm.mask, mask_or(m, a.mask))
+
+    def test_inplace_floor_division_scalar_type(self):
+        # Test of inplace division
+        # Check for TypeError in case of unsupported types
+        unsupported = {np.dtype(t).type for t in np.typecodes["Complex"]}
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                x = arange(10, dtype=t) * t(2)
+                xm = arange(10, dtype=t) * t(2)
+                xm[2] = masked
+                try:
+                    x //= t(2)
+                    xm //= t(2)
+                    assert_equal(x, y)
+                    assert_equal(xm, y)
+                except TypeError:
+                    msg = f"Supported type {t} throwing TypeError"
+                    assert t in unsupported, msg
+
+    def test_inplace_floor_division_array_type(self):
+        # Test of inplace division
+        # Check for TypeError in case of unsupported types
+        unsupported = {np.dtype(t).type for t in np.typecodes["Complex"]}
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                m = xm.mask
+                a = arange(10, dtype=t)
+                a[-1] = masked
+                try:
+                    x //= a
+                    xm //= a
+                    assert_equal(x, y // a)
+                    assert_equal(xm, y // a)
+                    assert_equal(
+                        xm.mask,
+                        mask_or(mask_or(m, a.mask), (a == t(0)))
+                    )
+                except TypeError:
+                    msg = f"Supported type {t} throwing TypeError"
+                    assert t in unsupported, msg
+
+    def test_inplace_division_scalar_type(self):
+        # Test of inplace division
+        for t in self.othertypes:
+            with suppress_warnings() as sup:
+                sup.record(UserWarning)
+
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                x = arange(10, dtype=t) * t(2)
+                xm = arange(10, dtype=t) * t(2)
+                xm[2] = masked
+
+                # May get a DeprecationWarning or a TypeError.
+                #
+                # This is a consequence of the fact that this is true divide
+                # and will require casting to float for calculation and
+                # casting back to the original type. This will only be raised
+                # with integers. Whether it is an error or warning is only
+                # dependent on how stringent the casting rules are.
+                #
+                # Will handle the same way.
+                try:
+                    x /= t(2)
+                    assert_equal(x, y)
+                except (DeprecationWarning, TypeError) as e:
+                    warnings.warn(str(e), stacklevel=1)
+                try:
+                    xm /= t(2)
+                    assert_equal(xm, y)
+                except (DeprecationWarning, TypeError) as e:
+                    warnings.warn(str(e), stacklevel=1)
+
+                if issubclass(t, np.integer):
+                    assert_equal(len(sup.log), 2, f'Failed on type={t}.')
+                else:
+                    assert_equal(len(sup.log), 0, f'Failed on type={t}.')
+
+    def test_inplace_division_array_type(self):
+        # Test of inplace division
+        for t in self.othertypes:
+            with suppress_warnings() as sup:
+                sup.record(UserWarning)
+                (x, y, xm) = (_.astype(t) for _ in self.uint8data)
+                m = xm.mask
+                a = arange(10, dtype=t)
+                a[-1] = masked
+
+                # May get a DeprecationWarning or a TypeError.
+                #
+                # This is a consequence of the fact that this is true divide
+                # and will require casting to float for calculation and
+                # casting back to the original type. This will only be raised
+                # with integers. Whether it is an error or warning is only
+                # dependent on how stringent the casting rules are.
+                #
+                # Will handle the same way.
+                try:
+                    x /= a
+                    assert_equal(x, y / a)
+                except (DeprecationWarning, TypeError) as e:
+                    warnings.warn(str(e), stacklevel=1)
+                try:
+                    xm /= a
+                    assert_equal(xm, y / a)
+                    assert_equal(
+                        xm.mask,
+                        mask_or(mask_or(m, a.mask), (a == t(0)))
+                    )
+                except (DeprecationWarning, TypeError) as e:
+                    warnings.warn(str(e), stacklevel=1)
+
+                if issubclass(t, np.integer):
+                    assert_equal(len(sup.log), 2, f'Failed on type={t}.')
+                else:
+                    assert_equal(len(sup.log), 0, f'Failed on type={t}.')
+
+    def test_inplace_pow_type(self):
+        # Test keeping data w/ (inplace) power
+        for t in self.othertypes:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("error")
+                # Test pow on scalar
+                x = array([1, 2, 3], mask=[0, 0, 1], dtype=t)
+                xx = x ** t(2)
+                xx_r = array([1, 2 ** 2, 3], mask=[0, 0, 1], dtype=t)
+                assert_equal(xx.data, xx_r.data)
+                assert_equal(xx.mask, xx_r.mask)
+                # Test ipow on scalar
+                x **= t(2)
+                assert_equal(x.data, xx_r.data)
+                assert_equal(x.mask, xx_r.mask)
+
+
+class TestMaskedArrayMethods:
+    # Test class for miscellaneous MaskedArrays methods.
+    def setup_method(self):
+        # Base data definition.
+        x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928,
+                      8.43, 7.78, 9.865, 5.878, 8.979, 4.732,
+                      3.012, 6.022, 5.095, 3.116, 5.238, 3.957,
+                      6.04, 9.63, 7.712, 3.382, 4.489, 6.479,
+                      7.189, 9.645, 5.395, 4.961, 9.894, 2.893,
+                      7.357, 9.828, 6.272, 3.758, 6.693, 0.993])
+        X = x.reshape(6, 6)
+        XX = x.reshape(3, 2, 2, 3)
+
+        m = np.array([0, 1, 0, 1, 0, 0,
+                     1, 0, 1, 1, 0, 1,
+                     0, 0, 0, 1, 0, 1,
+                     0, 0, 0, 1, 1, 1,
+                     1, 0, 0, 1, 0, 0,
+                     0, 0, 1, 0, 1, 0])
+        mx = array(data=x, mask=m)
+        mX = array(data=X, mask=m.reshape(X.shape))
+        mXX = array(data=XX, mask=m.reshape(XX.shape))
+
+        m2 = np.array([1, 1, 0, 1, 0, 0,
+                      1, 1, 1, 1, 0, 1,
+                      0, 0, 1, 1, 0, 1,
+                      0, 0, 0, 1, 1, 1,
+                      1, 0, 0, 1, 1, 0,
+                      0, 0, 1, 0, 1, 1])
+        m2x = array(data=x, mask=m2)
+        m2X = array(data=X, mask=m2.reshape(X.shape))
+        m2XX = array(data=XX, mask=m2.reshape(XX.shape))
+        self.d = (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX)
+
+    def test_generic_methods(self):
+        # Tests some MaskedArray methods.
+        a = array([1, 3, 2])
+        assert_equal(a.any(), a._data.any())
+        assert_equal(a.all(), a._data.all())
+        assert_equal(a.argmax(), a._data.argmax())
+        assert_equal(a.argmin(), a._data.argmin())
+        assert_equal(a.choose(0, 1, 2, 3, 4), a._data.choose(0, 1, 2, 3, 4))
+        assert_equal(a.compress([1, 0, 1]), a._data.compress([1, 0, 1]))
+        assert_equal(a.conj(), a._data.conj())
+        assert_equal(a.conjugate(), a._data.conjugate())
+
+        m = array([[1, 2], [3, 4]])
+        assert_equal(m.diagonal(), m._data.diagonal())
+        assert_equal(a.sum(), a._data.sum())
+        assert_equal(a.take([1, 2]), a._data.take([1, 2]))
+        assert_equal(m.transpose(), m._data.transpose())
+
+    def test_allclose(self):
+        # Tests allclose on arrays
+        a = np.random.rand(10)
+        b = a + np.random.rand(10) * 1e-8
+        assert_(allclose(a, b))
+        # Test allclose w/ infs
+        a[0] = np.inf
+        assert_(not allclose(a, b))
+        b[0] = np.inf
+        assert_(allclose(a, b))
+        # Test allclose w/ masked
+        a = masked_array(a)
+        a[-1] = masked
+        assert_(allclose(a, b, masked_equal=True))
+        assert_(not allclose(a, b, masked_equal=False))
+        # Test comparison w/ scalar
+        a *= 1e-8
+        a[0] = 0
+        assert_(allclose(a, 0, masked_equal=True))
+
+        # Test that the function works for MIN_INT integer typed arrays
+        a = masked_array([np.iinfo(np.int_).min], dtype=np.int_)
+        assert_(allclose(a, a))
+
+    def test_allclose_timedelta(self):
+        # Allclose currently works for timedelta64 as long as `atol` is
+        # an integer or also a timedelta64
+        a = np.array([[1, 2, 3, 4]], dtype="m8[ns]")
+        assert allclose(a, a, atol=0)
+        assert allclose(a, a, atol=np.timedelta64(1, "ns"))
+
+    def test_allany(self):
+        # Checks the any/all methods/functions.
+        x = np.array([[0.13, 0.26, 0.90],
+                      [0.28, 0.33, 0.63],
+                      [0.31, 0.87, 0.70]])
+        m = np.array([[True, False, False],
+                      [False, False, False],
+                      [True, True, False]], dtype=np.bool)
+        mx = masked_array(x, mask=m)
+        mxbig = (mx > 0.5)
+        mxsmall = (mx < 0.5)
+
+        assert_(not mxbig.all())
+        assert_(mxbig.any())
+        assert_equal(mxbig.all(0), [False, False, True])
+        assert_equal(mxbig.all(1), [False, False, True])
+        assert_equal(mxbig.any(0), [False, False, True])
+        assert_equal(mxbig.any(1), [True, True, True])
+
+        assert_(not mxsmall.all())
+        assert_(mxsmall.any())
+        assert_equal(mxsmall.all(0), [True, True, False])
+        assert_equal(mxsmall.all(1), [False, False, False])
+        assert_equal(mxsmall.any(0), [True, True, False])
+        assert_equal(mxsmall.any(1), [True, True, False])
+
+    def test_allany_oddities(self):
+        # Some fun with all and any
+        store = empty((), dtype=bool)
+        full = array([1, 2, 3], mask=True)
+
+        assert_(full.all() is masked)
+        full.all(out=store)
+        assert_(store)
+        assert_(store._mask, True)
+        assert_(store is not masked)
+
+        store = empty((), dtype=bool)
+        assert_(full.any() is masked)
+        full.any(out=store)
+        assert_(not store)
+        assert_(store._mask, True)
+        assert_(store is not masked)
+
+    def test_argmax_argmin(self):
+        # Tests argmin & argmax on MaskedArrays.
+        (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d
+
+        assert_equal(mx.argmin(), 35)
+        assert_equal(mX.argmin(), 35)
+        assert_equal(m2x.argmin(), 4)
+        assert_equal(m2X.argmin(), 4)
+        assert_equal(mx.argmax(), 28)
+        assert_equal(mX.argmax(), 28)
+        assert_equal(m2x.argmax(), 31)
+        assert_equal(m2X.argmax(), 31)
+
+        assert_equal(mX.argmin(0), [2, 2, 2, 5, 0, 5])
+        assert_equal(m2X.argmin(0), [2, 2, 4, 5, 0, 4])
+        assert_equal(mX.argmax(0), [0, 5, 0, 5, 4, 0])
+        assert_equal(m2X.argmax(0), [5, 5, 0, 5, 1, 0])
+
+        assert_equal(mX.argmin(1), [4, 1, 0, 0, 5, 5, ])
+        assert_equal(m2X.argmin(1), [4, 4, 0, 0, 5, 3])
+        assert_equal(mX.argmax(1), [2, 4, 1, 1, 4, 1])
+        assert_equal(m2X.argmax(1), [2, 4, 1, 1, 1, 1])
+
+    def test_clip(self):
+        # Tests clip on MaskedArrays.
+        x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928,
+                      8.43, 7.78, 9.865, 5.878, 8.979, 4.732,
+                      3.012, 6.022, 5.095, 3.116, 5.238, 3.957,
+                      6.04, 9.63, 7.712, 3.382, 4.489, 6.479,
+                      7.189, 9.645, 5.395, 4.961, 9.894, 2.893,
+                      7.357, 9.828, 6.272, 3.758, 6.693, 0.993])
+        m = np.array([0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1,
+                      0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1,
+                      1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0])
+        mx = array(x, mask=m)
+        clipped = mx.clip(2, 8)
+        assert_equal(clipped.mask, mx.mask)
+        assert_equal(clipped._data, x.clip(2, 8))
+        assert_equal(clipped._data, mx._data.clip(2, 8))
+
+    def test_clip_out(self):
+        # gh-14140
+        a = np.arange(10)
+        m = np.ma.MaskedArray(a, mask=[0, 1] * 5)
+        m.clip(0, 5, out=m)
+        assert_equal(m.mask, [0, 1] * 5)
+
+    def test_compress(self):
+        # test compress
+        a = masked_array([1., 2., 3., 4., 5.], fill_value=9999)
+        condition = (a > 1.5) & (a < 3.5)
+        assert_equal(a.compress(condition), [2., 3.])
+
+        a[[2, 3]] = masked
+        b = a.compress(condition)
+        assert_equal(b._data, [2., 3.])
+        assert_equal(b._mask, [0, 1])
+        assert_equal(b.fill_value, 9999)
+        assert_equal(b, a[condition])
+
+        condition = (a < 4.)
+        b = a.compress(condition)
+        assert_equal(b._data, [1., 2., 3.])
+        assert_equal(b._mask, [0, 0, 1])
+        assert_equal(b.fill_value, 9999)
+        assert_equal(b, a[condition])
+
+        a = masked_array([[10, 20, 30], [40, 50, 60]],
+                         mask=[[0, 0, 1], [1, 0, 0]])
+        b = a.compress(a.ravel() >= 22)
+        assert_equal(b._data, [30, 40, 50, 60])
+        assert_equal(b._mask, [1, 1, 0, 0])
+
+        x = np.array([3, 1, 2])
+        b = a.compress(x >= 2, axis=1)
+        assert_equal(b._data, [[10, 30], [40, 60]])
+        assert_equal(b._mask, [[0, 1], [1, 0]])
+
+    def test_compressed(self):
+        # Tests compressed
+        a = array([1, 2, 3, 4], mask=[0, 0, 0, 0])
+        b = a.compressed()
+        assert_equal(b, a)
+        a[0] = masked
+        b = a.compressed()
+        assert_equal(b, [2, 3, 4])
+
+    def test_empty(self):
+        # Tests empty/like
+        datatype = [('a', int), ('b', float), ('c', '|S8')]
+        a = masked_array([(1, 1.1, '1.1'), (2, 2.2, '2.2'), (3, 3.3, '3.3')],
+                         dtype=datatype)
+        assert_equal(len(a.fill_value.item()), len(datatype))
+
+        b = empty_like(a)
+        assert_equal(b.shape, a.shape)
+        assert_equal(b.fill_value, a.fill_value)
+
+        b = empty(len(a), dtype=datatype)
+        assert_equal(b.shape, a.shape)
+        assert_equal(b.fill_value, a.fill_value)
+
+        # check empty_like mask handling
+        a = masked_array([1, 2, 3], mask=[False, True, False])
+        b = empty_like(a)
+        assert_(not np.may_share_memory(a.mask, b.mask))
+        b = a.view(masked_array)
+        assert_(np.may_share_memory(a.mask, b.mask))
+
+    def test_zeros(self):
+        # Tests zeros/like
+        datatype = [('a', int), ('b', float), ('c', '|S8')]
+        a = masked_array([(1, 1.1, '1.1'), (2, 2.2, '2.2'), (3, 3.3, '3.3')],
+                         dtype=datatype)
+        assert_equal(len(a.fill_value.item()), len(datatype))
+
+        b = zeros(len(a), dtype=datatype)
+        assert_equal(b.shape, a.shape)
+        assert_equal(b.fill_value, a.fill_value)
+
+        b = zeros_like(a)
+        assert_equal(b.shape, a.shape)
+        assert_equal(b.fill_value, a.fill_value)
+
+        # check zeros_like mask handling
+        a = masked_array([1, 2, 3], mask=[False, True, False])
+        b = zeros_like(a)
+        assert_(not np.may_share_memory(a.mask, b.mask))
+        b = a.view()
+        assert_(np.may_share_memory(a.mask, b.mask))
+
+    def test_ones(self):
+        # Tests ones/like
+        datatype = [('a', int), ('b', float), ('c', '|S8')]
+        a = masked_array([(1, 1.1, '1.1'), (2, 2.2, '2.2'), (3, 3.3, '3.3')],
+                         dtype=datatype)
+        assert_equal(len(a.fill_value.item()), len(datatype))
+
+        b = ones(len(a), dtype=datatype)
+        assert_equal(b.shape, a.shape)
+        assert_equal(b.fill_value, a.fill_value)
+
+        b = ones_like(a)
+        assert_equal(b.shape, a.shape)
+        assert_equal(b.fill_value, a.fill_value)
+
+        # check ones_like mask handling
+        a = masked_array([1, 2, 3], mask=[False, True, False])
+        b = ones_like(a)
+        assert_(not np.may_share_memory(a.mask, b.mask))
+        b = a.view()
+        assert_(np.may_share_memory(a.mask, b.mask))
+
+    @suppress_copy_mask_on_assignment
+    def test_put(self):
+        # Tests put.
+        d = arange(5)
+        n = [0, 0, 0, 1, 1]
+        m = make_mask(n)
+        x = array(d, mask=m)
+        assert_(x[3] is masked)
+        assert_(x[4] is masked)
+        x[[1, 4]] = [10, 40]
+        assert_(x[3] is masked)
+        assert_(x[4] is not masked)
+        assert_equal(x, [0, 10, 2, -1, 40])
+
+        x = masked_array(arange(10), mask=[1, 0, 0, 0, 0] * 2)
+        i = [0, 2, 4, 6]
+        x.put(i, [6, 4, 2, 0])
+        assert_equal(x, asarray([6, 1, 4, 3, 2, 5, 0, 7, 8, 9, ]))
+        assert_equal(x.mask, [0, 0, 0, 0, 0, 1, 0, 0, 0, 0])
+        x.put(i, masked_array([0, 2, 4, 6], [1, 0, 1, 0]))
+        assert_array_equal(x, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ])
+        assert_equal(x.mask, [1, 0, 0, 0, 1, 1, 0, 0, 0, 0])
+
+        x = masked_array(arange(10), mask=[1, 0, 0, 0, 0] * 2)
+        put(x, i, [6, 4, 2, 0])
+        assert_equal(x, asarray([6, 1, 4, 3, 2, 5, 0, 7, 8, 9, ]))
+        assert_equal(x.mask, [0, 0, 0, 0, 0, 1, 0, 0, 0, 0])
+        put(x, i, masked_array([0, 2, 4, 6], [1, 0, 1, 0]))
+        assert_array_equal(x, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ])
+        assert_equal(x.mask, [1, 0, 0, 0, 1, 1, 0, 0, 0, 0])
+
+    def test_put_nomask(self):
+        # GitHub issue 6425
+        x = zeros(10)
+        z = array([3., -1.], mask=[False, True])
+
+        x.put([1, 2], z)
+        assert_(x[0] is not masked)
+        assert_equal(x[0], 0)
+        assert_(x[1] is not masked)
+        assert_equal(x[1], 3)
+        assert_(x[2] is masked)
+        assert_(x[3] is not masked)
+        assert_equal(x[3], 0)
+
+    def test_put_hardmask(self):
+        # Tests put on hardmask
+        d = arange(5)
+        n = [0, 0, 0, 1, 1]
+        m = make_mask(n)
+        xh = array(d + 1, mask=m, hard_mask=True, copy=True)
+        xh.put([4, 2, 0, 1, 3], [1, 2, 3, 4, 5])
+        assert_equal(xh._data, [3, 4, 2, 4, 5])
+
+    def test_putmask(self):
+        x = arange(6) + 1
+        mx = array(x, mask=[0, 0, 0, 1, 1, 1])
+        mask = [0, 0, 1, 0, 0, 1]
+        # w/o mask, w/o masked values
+        xx = x.copy()
+        putmask(xx, mask, 99)
+        assert_equal(xx, [1, 2, 99, 4, 5, 99])
+        # w/ mask, w/o masked values
+        mxx = mx.copy()
+        putmask(mxx, mask, 99)
+        assert_equal(mxx._data, [1, 2, 99, 4, 5, 99])
+        assert_equal(mxx._mask, [0, 0, 0, 1, 1, 0])
+        # w/o mask, w/ masked values
+        values = array([10, 20, 30, 40, 50, 60], mask=[1, 1, 1, 0, 0, 0])
+        xx = x.copy()
+        putmask(xx, mask, values)
+        assert_equal(xx._data, [1, 2, 30, 4, 5, 60])
+        assert_equal(xx._mask, [0, 0, 1, 0, 0, 0])
+        # w/ mask, w/ masked values
+        mxx = mx.copy()
+        putmask(mxx, mask, values)
+        assert_equal(mxx._data, [1, 2, 30, 4, 5, 60])
+        assert_equal(mxx._mask, [0, 0, 1, 1, 1, 0])
+        # w/ mask, w/ masked values + hardmask
+        mxx = mx.copy()
+        mxx.harden_mask()
+        putmask(mxx, mask, values)
+        assert_equal(mxx, [1, 2, 30, 4, 5, 60])
+
+    def test_ravel(self):
+        # Tests ravel
+        a = array([[1, 2, 3, 4, 5]], mask=[[0, 1, 0, 0, 0]])
+        aravel = a.ravel()
+        assert_equal(aravel._mask.shape, aravel.shape)
+        a = array([0, 0], mask=[1, 1])
+        aravel = a.ravel()
+        assert_equal(aravel._mask.shape, a.shape)
+        # Checks that small_mask is preserved
+        a = array([1, 2, 3, 4], mask=[0, 0, 0, 0], shrink=False)
+        assert_equal(a.ravel()._mask, [0, 0, 0, 0])
+        # Test that the fill_value is preserved
+        a.fill_value = -99
+        a.shape = (2, 2)
+        ar = a.ravel()
+        assert_equal(ar._mask, [0, 0, 0, 0])
+        assert_equal(ar._data, [1, 2, 3, 4])
+        assert_equal(ar.fill_value, -99)
+        # Test index ordering
+        assert_equal(a.ravel(order='C'), [1, 2, 3, 4])
+        assert_equal(a.ravel(order='F'), [1, 3, 2, 4])
+
+    @pytest.mark.parametrize("order", "AKCF")
+    @pytest.mark.parametrize("data_order", "CF")
+    def test_ravel_order(self, order, data_order):
+        # Ravelling must ravel mask and data in the same order always to avoid
+        # misaligning the two in the ravel result.
+        arr = np.ones((5, 10), order=data_order)
+        arr[0, :] = 0
+        mask = np.ones((10, 5), dtype=bool, order=data_order).T
+        mask[0, :] = False
+        x = array(arr, mask=mask)
+        assert x._data.flags.fnc != x._mask.flags.fnc
+        assert (x.filled(0) == 0).all()
+        raveled = x.ravel(order)
+        assert (raveled.filled(0) == 0).all()
+
+        # NOTE: Can be wrong if arr order is neither C nor F and `order="K"`
+        assert_array_equal(arr.ravel(order), x.ravel(order)._data)
+
+    def test_reshape(self):
+        # Tests reshape
+        x = arange(4)
+        x[0] = masked
+        y = x.reshape(2, 2)
+        assert_equal(y.shape, (2, 2,))
+        assert_equal(y._mask.shape, (2, 2,))
+        assert_equal(x.shape, (4,))
+        assert_equal(x._mask.shape, (4,))
+
+    def test_sort(self):
+        # Test sort
+        x = array([1, 4, 2, 3], mask=[0, 1, 0, 0], dtype=np.uint8)
+
+        sortedx = sort(x)
+        assert_equal(sortedx._data, [1, 2, 3, 4])
+        assert_equal(sortedx._mask, [0, 0, 0, 1])
+
+        sortedx = sort(x, endwith=False)
+        assert_equal(sortedx._data, [4, 1, 2, 3])
+        assert_equal(sortedx._mask, [1, 0, 0, 0])
+
+        x.sort()
+        assert_equal(x._data, [1, 2, 3, 4])
+        assert_equal(x._mask, [0, 0, 0, 1])
+
+        x = array([1, 4, 2, 3], mask=[0, 1, 0, 0], dtype=np.uint8)
+        x.sort(endwith=False)
+        assert_equal(x._data, [4, 1, 2, 3])
+        assert_equal(x._mask, [1, 0, 0, 0])
+
+        x = [1, 4, 2, 3]
+        sortedx = sort(x)
+        assert_(not isinstance(sorted, MaskedArray))
+
+        x = array([0, 1, -1, -2, 2], mask=nomask, dtype=np.int8)
+        sortedx = sort(x, endwith=False)
+        assert_equal(sortedx._data, [-2, -1, 0, 1, 2])
+        x = array([0, 1, -1, -2, 2], mask=[0, 1, 0, 0, 1], dtype=np.int8)
+        sortedx = sort(x, endwith=False)
+        assert_equal(sortedx._data, [1, 2, -2, -1, 0])
+        assert_equal(sortedx._mask, [1, 1, 0, 0, 0])
+
+        x = array([0, -1], dtype=np.int8)
+        sortedx = sort(x, kind="stable")
+        assert_equal(sortedx, array([-1, 0], dtype=np.int8))
+
+    def test_stable_sort(self):
+        x = array([1, 2, 3, 1, 2, 3], dtype=np.uint8)
+        expected = array([0, 3, 1, 4, 2, 5])
+        computed = argsort(x, kind='stable')
+        assert_equal(computed, expected)
+
+    def test_argsort_matches_sort(self):
+        x = array([1, 4, 2, 3], mask=[0, 1, 0, 0], dtype=np.uint8)
+
+        for kwargs in [dict(),
+                       dict(endwith=True),
+                       dict(endwith=False),
+                       dict(fill_value=2),
+                       dict(fill_value=2, endwith=True),
+                       dict(fill_value=2, endwith=False)]:
+            sortedx = sort(x, **kwargs)
+            argsortedx = x[argsort(x, **kwargs)]
+            assert_equal(sortedx._data, argsortedx._data)
+            assert_equal(sortedx._mask, argsortedx._mask)
+
+    def test_sort_2d(self):
+        # Check sort of 2D array.
+        # 2D array w/o mask
+        a = masked_array([[8, 4, 1], [2, 0, 9]])
+        a.sort(0)
+        assert_equal(a, [[2, 0, 1], [8, 4, 9]])
+        a = masked_array([[8, 4, 1], [2, 0, 9]])
+        a.sort(1)
+        assert_equal(a, [[1, 4, 8], [0, 2, 9]])
+        # 2D array w/mask
+        a = masked_array([[8, 4, 1], [2, 0, 9]], mask=[[1, 0, 0], [0, 0, 1]])
+        a.sort(0)
+        assert_equal(a, [[2, 0, 1], [8, 4, 9]])
+        assert_equal(a._mask, [[0, 0, 0], [1, 0, 1]])
+        a = masked_array([[8, 4, 1], [2, 0, 9]], mask=[[1, 0, 0], [0, 0, 1]])
+        a.sort(1)
+        assert_equal(a, [[1, 4, 8], [0, 2, 9]])
+        assert_equal(a._mask, [[0, 0, 1], [0, 0, 1]])
+        # 3D
+        a = masked_array([[[7, 8, 9], [4, 5, 6], [1, 2, 3]],
+                          [[1, 2, 3], [7, 8, 9], [4, 5, 6]],
+                          [[7, 8, 9], [1, 2, 3], [4, 5, 6]],
+                          [[4, 5, 6], [1, 2, 3], [7, 8, 9]]])
+        a[a % 4 == 0] = masked
+        am = a.copy()
+        an = a.filled(99)
+        am.sort(0)
+        an.sort(0)
+        assert_equal(am, an)
+        am = a.copy()
+        an = a.filled(99)
+        am.sort(1)
+        an.sort(1)
+        assert_equal(am, an)
+        am = a.copy()
+        an = a.filled(99)
+        am.sort(2)
+        an.sort(2)
+        assert_equal(am, an)
+
+    def test_sort_flexible(self):
+        # Test sort on structured dtype.
+        a = array(
+            data=[(3, 3), (3, 2), (2, 2), (2, 1), (1, 0), (1, 1), (1, 2)],
+            mask=[(0, 0), (0, 1), (0, 0), (0, 0), (1, 0), (0, 0), (0, 0)],
+            dtype=[('A', int), ('B', int)])
+        mask_last = array(
+            data=[(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (3, 2), (1, 0)],
+            mask=[(0, 0), (0, 0), (0, 0), (0, 0), (0, 0), (0, 1), (1, 0)],
+            dtype=[('A', int), ('B', int)])
+        mask_first = array(
+            data=[(1, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 2), (3, 3)],
+            mask=[(1, 0), (0, 0), (0, 0), (0, 0), (0, 0), (0, 1), (0, 0)],
+            dtype=[('A', int), ('B', int)])
+
+        test = sort(a)
+        assert_equal(test, mask_last)
+        assert_equal(test.mask, mask_last.mask)
+
+        test = sort(a, endwith=False)
+        assert_equal(test, mask_first)
+        assert_equal(test.mask, mask_first.mask)
+
+        # Test sort on dtype with subarray (gh-8069)
+        # Just check that the sort does not error, structured array subarrays
+        # are treated as byte strings and that leads to differing behavior
+        # depending on endianness and `endwith`.
+        dt = np.dtype([('v', int, 2)])
+        a = a.view(dt)
+        test = sort(a)
+        test = sort(a, endwith=False)
+
+    def test_argsort(self):
+        # Test argsort
+        a = array([1, 5, 2, 4, 3], mask=[1, 0, 0, 1, 0])
+        assert_equal(np.argsort(a), argsort(a))
+
+    def test_squeeze(self):
+        # Check squeeze
+        data = masked_array([[1, 2, 3]])
+        assert_equal(data.squeeze(), [1, 2, 3])
+        data = masked_array([[1, 2, 3]], mask=[[1, 1, 1]])
+        assert_equal(data.squeeze(), [1, 2, 3])
+        assert_equal(data.squeeze()._mask, [1, 1, 1])
+
+        # normal ndarrays return a view
+        arr = np.array([[1]])
+        arr_sq = arr.squeeze()
+        assert_equal(arr_sq, 1)
+        arr_sq[...] = 2
+        assert_equal(arr[0,0], 2)
+
+        # so maskedarrays should too
+        m_arr = masked_array([[1]], mask=True)
+        m_arr_sq = m_arr.squeeze()
+        assert_(m_arr_sq is not np.ma.masked)
+        assert_equal(m_arr_sq.mask, True)
+        m_arr_sq[...] = 2
+        assert_equal(m_arr[0,0], 2)
+
+    def test_swapaxes(self):
+        # Tests swapaxes on MaskedArrays.
+        x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928,
+                      8.43, 7.78, 9.865, 5.878, 8.979, 4.732,
+                      3.012, 6.022, 5.095, 3.116, 5.238, 3.957,
+                      6.04, 9.63, 7.712, 3.382, 4.489, 6.479,
+                      7.189, 9.645, 5.395, 4.961, 9.894, 2.893,
+                      7.357, 9.828, 6.272, 3.758, 6.693, 0.993])
+        m = np.array([0, 1, 0, 1, 0, 0,
+                      1, 0, 1, 1, 0, 1,
+                      0, 0, 0, 1, 0, 1,
+                      0, 0, 0, 1, 1, 1,
+                      1, 0, 0, 1, 0, 0,
+                      0, 0, 1, 0, 1, 0])
+        mX = array(x, mask=m).reshape(6, 6)
+        mXX = mX.reshape(3, 2, 2, 3)
+
+        mXswapped = mX.swapaxes(0, 1)
+        assert_equal(mXswapped[-1], mX[:, -1])
+
+        mXXswapped = mXX.swapaxes(0, 2)
+        assert_equal(mXXswapped.shape, (2, 2, 3, 3))
+
+    def test_take(self):
+        # Tests take
+        x = masked_array([10, 20, 30, 40], [0, 1, 0, 1])
+        assert_equal(x.take([0, 0, 3]), masked_array([10, 10, 40], [0, 0, 1]))
+        assert_equal(x.take([0, 0, 3]), x[[0, 0, 3]])
+        assert_equal(x.take([[0, 1], [0, 1]]),
+                     masked_array([[10, 20], [10, 20]], [[0, 1], [0, 1]]))
+
+        # assert_equal crashes when passed np.ma.mask
+        assert_(x[1] is np.ma.masked)
+        assert_(x.take(1) is np.ma.masked)
+
+        x = array([[10, 20, 30], [40, 50, 60]], mask=[[0, 0, 1], [1, 0, 0, ]])
+        assert_equal(x.take([0, 2], axis=1),
+                     array([[10, 30], [40, 60]], mask=[[0, 1], [1, 0]]))
+        assert_equal(take(x, [0, 2], axis=1),
+                     array([[10, 30], [40, 60]], mask=[[0, 1], [1, 0]]))
+
+    def test_take_masked_indices(self):
+        # Test take w/ masked indices
+        a = np.array((40, 18, 37, 9, 22))
+        indices = np.arange(3)[None,:] + np.arange(5)[:, None]
+        mindices = array(indices, mask=(indices >= len(a)))
+        # No mask
+        test = take(a, mindices, mode='clip')
+        ctrl = array([[40, 18, 37],
+                      [18, 37, 9],
+                      [37, 9, 22],
+                      [9, 22, 22],
+                      [22, 22, 22]])
+        assert_equal(test, ctrl)
+        # Masked indices
+        test = take(a, mindices)
+        ctrl = array([[40, 18, 37],
+                      [18, 37, 9],
+                      [37, 9, 22],
+                      [9, 22, 40],
+                      [22, 40, 40]])
+        ctrl[3, 2] = ctrl[4, 1] = ctrl[4, 2] = masked
+        assert_equal(test, ctrl)
+        assert_equal(test.mask, ctrl.mask)
+        # Masked input + masked indices
+        a = array((40, 18, 37, 9, 22), mask=(0, 1, 0, 0, 0))
+        test = take(a, mindices)
+        ctrl[0, 1] = ctrl[1, 0] = masked
+        assert_equal(test, ctrl)
+        assert_equal(test.mask, ctrl.mask)
+
+    def test_tolist(self):
+        # Tests to list
+        # ... on 1D
+        x = array(np.arange(12))
+        x[[1, -2]] = masked
+        xlist = x.tolist()
+        assert_(xlist[1] is None)
+        assert_(xlist[-2] is None)
+        # ... on 2D
+        x.shape = (3, 4)
+        xlist = x.tolist()
+        ctrl = [[0, None, 2, 3], [4, 5, 6, 7], [8, 9, None, 11]]
+        assert_equal(xlist[0], [0, None, 2, 3])
+        assert_equal(xlist[1], [4, 5, 6, 7])
+        assert_equal(xlist[2], [8, 9, None, 11])
+        assert_equal(xlist, ctrl)
+        # ... on structured array w/ masked records
+        x = array(list(zip([1, 2, 3],
+                           [1.1, 2.2, 3.3],
+                           ['one', 'two', 'thr'])),
+                  dtype=[('a', int), ('b', float), ('c', '|S8')])
+        x[-1] = masked
+        assert_equal(x.tolist(),
+                     [(1, 1.1, b'one'),
+                      (2, 2.2, b'two'),
+                      (None, None, None)])
+        # ... on structured array w/ masked fields
+        a = array([(1, 2,), (3, 4)], mask=[(0, 1), (0, 0)],
+                  dtype=[('a', int), ('b', int)])
+        test = a.tolist()
+        assert_equal(test, [[1, None], [3, 4]])
+        # ... on mvoid
+        a = a[0]
+        test = a.tolist()
+        assert_equal(test, [1, None])
+
+    def test_tolist_specialcase(self):
+        # Test mvoid.tolist: make sure we return a standard Python object
+        a = array([(0, 1), (2, 3)], dtype=[('a', int), ('b', int)])
+        # w/o mask: each entry is a np.void whose elements are standard Python
+        for entry in a:
+            for item in entry.tolist():
+                assert_(not isinstance(item, np.generic))
+        # w/ mask: each entry is a ma.void whose elements should be
+        # standard Python
+        a.mask[0] = (0, 1)
+        for entry in a:
+            for item in entry.tolist():
+                assert_(not isinstance(item, np.generic))
+
+    def test_toflex(self):
+        # Test the conversion to records
+        data = arange(10)
+        record = data.toflex()
+        assert_equal(record['_data'], data._data)
+        assert_equal(record['_mask'], data._mask)
+
+        data[[0, 1, 2, -1]] = masked
+        record = data.toflex()
+        assert_equal(record['_data'], data._data)
+        assert_equal(record['_mask'], data._mask)
+
+        ndtype = [('i', int), ('s', '|S3'), ('f', float)]
+        data = array(list(zip(np.arange(10),
+                              'ABCDEFGHIJKLM',
+                              np.random.rand(10))),
+                     dtype=ndtype)
+        data[[0, 1, 2, -1]] = masked
+        record = data.toflex()
+        assert_equal(record['_data'], data._data)
+        assert_equal(record['_mask'], data._mask)
+
+        ndtype = np.dtype("int, (2,3)float, float")
+        data = array(list(zip(np.arange(10),
+                              np.random.rand(10),
+                              np.random.rand(10))),
+                     dtype=ndtype)
+        data[[0, 1, 2, -1]] = masked
+        record = data.toflex()
+        assert_equal_records(record['_data'], data._data)
+        assert_equal_records(record['_mask'], data._mask)
+
+    def test_fromflex(self):
+        # Test the reconstruction of a masked_array from a record
+        a = array([1, 2, 3])
+        test = fromflex(a.toflex())
+        assert_equal(test, a)
+        assert_equal(test.mask, a.mask)
+
+        a = array([1, 2, 3], mask=[0, 0, 1])
+        test = fromflex(a.toflex())
+        assert_equal(test, a)
+        assert_equal(test.mask, a.mask)
+
+        a = array([(1, 1.), (2, 2.), (3, 3.)], mask=[(1, 0), (0, 0), (0, 1)],
+                  dtype=[('A', int), ('B', float)])
+        test = fromflex(a.toflex())
+        assert_equal(test, a)
+        assert_equal(test.data, a.data)
+
+    def test_arraymethod(self):
+        # Test a _arraymethod w/ n argument
+        marray = masked_array([[1, 2, 3, 4, 5]], mask=[0, 0, 1, 0, 0])
+        control = masked_array([[1], [2], [3], [4], [5]],
+                               mask=[0, 0, 1, 0, 0])
+        assert_equal(marray.T, control)
+        assert_equal(marray.transpose(), control)
+
+        assert_equal(MaskedArray.cumsum(marray.T, 0), control.cumsum(0))
+
+    def test_arraymethod_0d(self):
+        # gh-9430
+        x = np.ma.array(42, mask=True)
+        assert_equal(x.T.mask, x.mask)
+        assert_equal(x.T.data, x.data)
+
+    def test_transpose_view(self):
+        x = np.ma.array([[1, 2, 3], [4, 5, 6]])
+        x[0,1] = np.ma.masked
+        xt = x.T
+
+        xt[1,0] = 10
+        xt[0,1] = np.ma.masked
+
+        assert_equal(x.data, xt.T.data)
+        assert_equal(x.mask, xt.T.mask)
+
+    def test_diagonal_view(self):
+        x = np.ma.zeros((3,3))
+        x[0,0] = 10
+        x[1,1] = np.ma.masked
+        x[2,2] = 20
+        xd = x.diagonal()
+        x[1,1] = 15
+        assert_equal(xd.mask, x.diagonal().mask)
+        assert_equal(xd.data, x.diagonal().data)
+
+
+class TestMaskedArrayMathMethods:
+
+    def setup_method(self):
+        # Base data definition.
+        x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928,
+                      8.43, 7.78, 9.865, 5.878, 8.979, 4.732,
+                      3.012, 6.022, 5.095, 3.116, 5.238, 3.957,
+                      6.04, 9.63, 7.712, 3.382, 4.489, 6.479,
+                      7.189, 9.645, 5.395, 4.961, 9.894, 2.893,
+                      7.357, 9.828, 6.272, 3.758, 6.693, 0.993])
+        X = x.reshape(6, 6)
+        XX = x.reshape(3, 2, 2, 3)
+
+        m = np.array([0, 1, 0, 1, 0, 0,
+                     1, 0, 1, 1, 0, 1,
+                     0, 0, 0, 1, 0, 1,
+                     0, 0, 0, 1, 1, 1,
+                     1, 0, 0, 1, 0, 0,
+                     0, 0, 1, 0, 1, 0])
+        mx = array(data=x, mask=m)
+        mX = array(data=X, mask=m.reshape(X.shape))
+        mXX = array(data=XX, mask=m.reshape(XX.shape))
+
+        m2 = np.array([1, 1, 0, 1, 0, 0,
+                      1, 1, 1, 1, 0, 1,
+                      0, 0, 1, 1, 0, 1,
+                      0, 0, 0, 1, 1, 1,
+                      1, 0, 0, 1, 1, 0,
+                      0, 0, 1, 0, 1, 1])
+        m2x = array(data=x, mask=m2)
+        m2X = array(data=X, mask=m2.reshape(X.shape))
+        m2XX = array(data=XX, mask=m2.reshape(XX.shape))
+        self.d = (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX)
+
+    def test_cumsumprod(self):
+        # Tests cumsum & cumprod on MaskedArrays.
+        (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d
+        mXcp = mX.cumsum(0)
+        assert_equal(mXcp._data, mX.filled(0).cumsum(0))
+        mXcp = mX.cumsum(1)
+        assert_equal(mXcp._data, mX.filled(0).cumsum(1))
+
+        mXcp = mX.cumprod(0)
+        assert_equal(mXcp._data, mX.filled(1).cumprod(0))
+        mXcp = mX.cumprod(1)
+        assert_equal(mXcp._data, mX.filled(1).cumprod(1))
+
+    def test_cumsumprod_with_output(self):
+        # Tests cumsum/cumprod w/ output
+        xm = array(np.random.uniform(0, 10, 12)).reshape(3, 4)
+        xm[:, 0] = xm[0] = xm[-1, -1] = masked
+
+        for funcname in ('cumsum', 'cumprod'):
+            npfunc = getattr(np, funcname)
+            xmmeth = getattr(xm, funcname)
+
+            # A ndarray as explicit input
+            output = np.empty((3, 4), dtype=float)
+            output.fill(-9999)
+            result = npfunc(xm, axis=0, out=output)
+            # ... the result should be the given output
+            assert_(result is output)
+            assert_equal(result, xmmeth(axis=0, out=output))
+
+            output = empty((3, 4), dtype=int)
+            result = xmmeth(axis=0, out=output)
+            assert_(result is output)
+
+    def test_ptp(self):
+        # Tests ptp on MaskedArrays.
+        (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d
+        (n, m) = X.shape
+        assert_equal(mx.ptp(), np.ptp(mx.compressed()))
+        rows = np.zeros(n, float)
+        cols = np.zeros(m, float)
+        for k in range(m):
+            cols[k] = np.ptp(mX[:, k].compressed())
+        for k in range(n):
+            rows[k] = np.ptp(mX[k].compressed())
+        assert_equal(mX.ptp(0), cols)
+        assert_equal(mX.ptp(1), rows)
+
+    def test_add_object(self):
+        x = masked_array(['a', 'b'], mask=[1, 0], dtype=object)
+        y = x + 'x'
+        assert_equal(y[1], 'bx')
+        assert_(y.mask[0])
+
+    def test_sum_object(self):
+        # Test sum on object dtype
+        a = masked_array([1, 2, 3], mask=[1, 0, 0], dtype=object)
+        assert_equal(a.sum(), 5)
+        a = masked_array([[1, 2, 3], [4, 5, 6]], dtype=object)
+        assert_equal(a.sum(axis=0), [5, 7, 9])
+
+    def test_prod_object(self):
+        # Test prod on object dtype
+        a = masked_array([1, 2, 3], mask=[1, 0, 0], dtype=object)
+        assert_equal(a.prod(), 2 * 3)
+        a = masked_array([[1, 2, 3], [4, 5, 6]], dtype=object)
+        assert_equal(a.prod(axis=0), [4, 10, 18])
+
+    def test_meananom_object(self):
+        # Test mean/anom on object dtype
+        a = masked_array([1, 2, 3], dtype=object)
+        assert_equal(a.mean(), 2)
+        assert_equal(a.anom(), [-1, 0, 1])
+
+    def test_anom_shape(self):
+        a = masked_array([1, 2, 3])
+        assert_equal(a.anom().shape, a.shape)
+        a.mask = True
+        assert_equal(a.anom().shape, a.shape)
+        assert_(np.ma.is_masked(a.anom()))
+
+    def test_anom(self):
+        a = masked_array(np.arange(1, 7).reshape(2, 3))
+        assert_almost_equal(a.anom(),
+                            [[-2.5, -1.5, -0.5], [0.5, 1.5, 2.5]])
+        assert_almost_equal(a.anom(axis=0),
+                            [[-1.5, -1.5, -1.5], [1.5, 1.5, 1.5]])
+        assert_almost_equal(a.anom(axis=1),
+                            [[-1., 0., 1.], [-1., 0., 1.]])
+        a.mask = [[0, 0, 1], [0, 1, 0]]
+        mval = -99
+        assert_almost_equal(a.anom().filled(mval),
+                            [[-2.25, -1.25, mval], [0.75, mval, 2.75]])
+        assert_almost_equal(a.anom(axis=0).filled(mval),
+                            [[-1.5, 0.0, mval], [1.5, mval, 0.0]])
+        assert_almost_equal(a.anom(axis=1).filled(mval),
+                            [[-0.5, 0.5, mval], [-1.0, mval, 1.0]])
+
+    def test_trace(self):
+        # Tests trace on MaskedArrays.
+        (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d
+        mXdiag = mX.diagonal()
+        assert_equal(mX.trace(), mX.diagonal().compressed().sum())
+        assert_almost_equal(mX.trace(),
+                            X.trace() - sum(mXdiag.mask * X.diagonal(),
+                                            axis=0))
+        assert_equal(np.trace(mX), mX.trace())
+
+        # gh-5560
+        arr = np.arange(2*4*4).reshape(2,4,4)
+        m_arr = np.ma.masked_array(arr, False)
+        assert_equal(arr.trace(axis1=1, axis2=2), m_arr.trace(axis1=1, axis2=2))
+
+    def test_dot(self):
+        # Tests dot on MaskedArrays.
+        (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d
+        fx = mx.filled(0)
+        r = mx.dot(mx)
+        assert_almost_equal(r.filled(0), fx.dot(fx))
+        assert_(r.mask is nomask)
+
+        fX = mX.filled(0)
+        r = mX.dot(mX)
+        assert_almost_equal(r.filled(0), fX.dot(fX))
+        assert_(r.mask[1,3])
+        r1 = empty_like(r)
+        mX.dot(mX, out=r1)
+        assert_almost_equal(r, r1)
+
+        mYY = mXX.swapaxes(-1, -2)
+        fXX, fYY = mXX.filled(0), mYY.filled(0)
+        r = mXX.dot(mYY)
+        assert_almost_equal(r.filled(0), fXX.dot(fYY))
+        r1 = empty_like(r)
+        mXX.dot(mYY, out=r1)
+        assert_almost_equal(r, r1)
+
+    def test_dot_shape_mismatch(self):
+        # regression test
+        x = masked_array([[1,2],[3,4]], mask=[[0,1],[0,0]])
+        y = masked_array([[1,2],[3,4]], mask=[[0,1],[0,0]])
+        z = masked_array([[0,1],[3,3]])
+        x.dot(y, out=z)
+        assert_almost_equal(z.filled(0), [[1, 0], [15, 16]])
+        assert_almost_equal(z.mask, [[0, 1], [0, 0]])
+
+    def test_varmean_nomask(self):
+        # gh-5769
+        foo = array([1,2,3,4], dtype='f8')
+        bar = array([1,2,3,4], dtype='f8')
+        assert_equal(type(foo.mean()), np.float64)
+        assert_equal(type(foo.var()), np.float64)
+        assert((foo.mean() == bar.mean()) is np.bool(True))
+
+        # check array type is preserved and out works
+        foo = array(np.arange(16).reshape((4,4)), dtype='f8')
+        bar = empty(4, dtype='f4')
+        assert_equal(type(foo.mean(axis=1)), MaskedArray)
+        assert_equal(type(foo.var(axis=1)), MaskedArray)
+        assert_(foo.mean(axis=1, out=bar) is bar)
+        assert_(foo.var(axis=1, out=bar) is bar)
+
+    def test_varstd(self):
+        # Tests var & std on MaskedArrays.
+        (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d
+        assert_almost_equal(mX.var(axis=None), mX.compressed().var())
+        assert_almost_equal(mX.std(axis=None), mX.compressed().std())
+        assert_almost_equal(mX.std(axis=None, ddof=1),
+                            mX.compressed().std(ddof=1))
+        assert_almost_equal(mX.var(axis=None, ddof=1),
+                            mX.compressed().var(ddof=1))
+        assert_equal(mXX.var(axis=3).shape, XX.var(axis=3).shape)
+        assert_equal(mX.var().shape, X.var().shape)
+        (mXvar0, mXvar1) = (mX.var(axis=0), mX.var(axis=1))
+        assert_almost_equal(mX.var(axis=None, ddof=2),
+                            mX.compressed().var(ddof=2))
+        assert_almost_equal(mX.std(axis=None, ddof=2),
+                            mX.compressed().std(ddof=2))
+        for k in range(6):
+            assert_almost_equal(mXvar1[k], mX[k].compressed().var())
+            assert_almost_equal(mXvar0[k], mX[:, k].compressed().var())
+            assert_almost_equal(np.sqrt(mXvar0[k]),
+                                mX[:, k].compressed().std())
+
+    @suppress_copy_mask_on_assignment
+    def test_varstd_specialcases(self):
+        # Test a special case for var
+        nout = np.array(-1, dtype=float)
+        mout = array(-1, dtype=float)
+
+        x = array(arange(10), mask=True)
+        for methodname in ('var', 'std'):
+            method = getattr(x, methodname)
+            assert_(method() is masked)
+            assert_(method(0) is masked)
+            assert_(method(-1) is masked)
+            # Using a masked array as explicit output
+            method(out=mout)
+            assert_(mout is not masked)
+            assert_equal(mout.mask, True)
+            # Using a ndarray as explicit output
+            method(out=nout)
+            assert_(np.isnan(nout))
+
+        x = array(arange(10), mask=True)
+        x[-1] = 9
+        for methodname in ('var', 'std'):
+            method = getattr(x, methodname)
+            assert_(method(ddof=1) is masked)
+            assert_(method(0, ddof=1) is masked)
+            assert_(method(-1, ddof=1) is masked)
+            # Using a masked array as explicit output
+            method(out=mout, ddof=1)
+            assert_(mout is not masked)
+            assert_equal(mout.mask, True)
+            # Using a ndarray as explicit output
+            method(out=nout, ddof=1)
+            assert_(np.isnan(nout))
+
+    def test_varstd_ddof(self):
+        a = array([[1, 1, 0], [1, 1, 0]], mask=[[0, 0, 1], [0, 0, 1]])
+        test = a.std(axis=0, ddof=0)
+        assert_equal(test.filled(0), [0, 0, 0])
+        assert_equal(test.mask, [0, 0, 1])
+        test = a.std(axis=0, ddof=1)
+        assert_equal(test.filled(0), [0, 0, 0])
+        assert_equal(test.mask, [0, 0, 1])
+        test = a.std(axis=0, ddof=2)
+        assert_equal(test.filled(0), [0, 0, 0])
+        assert_equal(test.mask, [1, 1, 1])
+
+    def test_diag(self):
+        # Test diag
+        x = arange(9).reshape((3, 3))
+        x[1, 1] = masked
+        out = np.diag(x)
+        assert_equal(out, [0, 4, 8])
+        out = diag(x)
+        assert_equal(out, [0, 4, 8])
+        assert_equal(out.mask, [0, 1, 0])
+        out = diag(out)
+        control = array([[0, 0, 0], [0, 4, 0], [0, 0, 8]],
+                        mask=[[0, 0, 0], [0, 1, 0], [0, 0, 0]])
+        assert_equal(out, control)
+
+    def test_axis_methods_nomask(self):
+        # Test the combination nomask & methods w/ axis
+        a = array([[1, 2, 3], [4, 5, 6]])
+
+        assert_equal(a.sum(0), [5, 7, 9])
+        assert_equal(a.sum(-1), [6, 15])
+        assert_equal(a.sum(1), [6, 15])
+
+        assert_equal(a.prod(0), [4, 10, 18])
+        assert_equal(a.prod(-1), [6, 120])
+        assert_equal(a.prod(1), [6, 120])
+
+        assert_equal(a.min(0), [1, 2, 3])
+        assert_equal(a.min(-1), [1, 4])
+        assert_equal(a.min(1), [1, 4])
+
+        assert_equal(a.max(0), [4, 5, 6])
+        assert_equal(a.max(-1), [3, 6])
+        assert_equal(a.max(1), [3, 6])
+
+    @requires_memory(free_bytes=2 * 10000 * 1000 * 2)
+    def test_mean_overflow(self):
+        # Test overflow in masked arrays
+        # gh-20272
+        a = masked_array(np.full((10000, 10000), 65535, dtype=np.uint16),
+                         mask=np.zeros((10000, 10000)))
+        assert_equal(a.mean(), 65535.0)
+
+    def test_diff_with_prepend(self):
+        # GH 22465
+        x = np.array([1, 2, 2, 3, 4, 2, 1, 1])
+
+        a = np.ma.masked_equal(x[3:], value=2)
+        a_prep = np.ma.masked_equal(x[:3], value=2)
+        diff1 = np.ma.diff(a, prepend=a_prep, axis=0)
+
+        b = np.ma.masked_equal(x, value=2)
+        diff2 = np.ma.diff(b, axis=0)
+
+        assert_(np.ma.allequal(diff1, diff2))
+
+    def test_diff_with_append(self):
+        # GH 22465
+        x = np.array([1, 2, 2, 3, 4, 2, 1, 1])
+
+        a = np.ma.masked_equal(x[:3], value=2)
+        a_app = np.ma.masked_equal(x[3:], value=2)
+        diff1 = np.ma.diff(a, append=a_app, axis=0)
+
+        b = np.ma.masked_equal(x, value=2)
+        diff2 = np.ma.diff(b, axis=0)
+
+        assert_(np.ma.allequal(diff1, diff2))
+
+    def test_diff_with_dim_0(self):
+        with pytest.raises(
+            ValueError,
+            match="diff requires input that is at least one dimensional"
+            ):
+            np.ma.diff(np.array(1))
+
+    def test_diff_with_n_0(self):
+        a = np.ma.masked_equal([1, 2, 2, 3, 4, 2, 1, 1], value=2)
+        diff = np.ma.diff(a, n=0, axis=0)
+
+        assert_(np.ma.allequal(a, diff))
+
+
+class TestMaskedArrayMathMethodsComplex:
+    # Test class for miscellaneous MaskedArrays methods.
+    def setup_method(self):
+        # Base data definition.
+        x = np.array([8.375j, 7.545j, 8.828j, 8.5j, 1.757j, 5.928,
+                      8.43, 7.78, 9.865, 5.878, 8.979, 4.732,
+                      3.012, 6.022, 5.095, 3.116, 5.238, 3.957,
+                      6.04, 9.63, 7.712, 3.382, 4.489, 6.479j,
+                      7.189j, 9.645, 5.395, 4.961, 9.894, 2.893,
+                      7.357, 9.828, 6.272, 3.758, 6.693, 0.993j])
+        X = x.reshape(6, 6)
+        XX = x.reshape(3, 2, 2, 3)
+
+        m = np.array([0, 1, 0, 1, 0, 0,
+                     1, 0, 1, 1, 0, 1,
+                     0, 0, 0, 1, 0, 1,
+                     0, 0, 0, 1, 1, 1,
+                     1, 0, 0, 1, 0, 0,
+                     0, 0, 1, 0, 1, 0])
+        mx = array(data=x, mask=m)
+        mX = array(data=X, mask=m.reshape(X.shape))
+        mXX = array(data=XX, mask=m.reshape(XX.shape))
+
+        m2 = np.array([1, 1, 0, 1, 0, 0,
+                      1, 1, 1, 1, 0, 1,
+                      0, 0, 1, 1, 0, 1,
+                      0, 0, 0, 1, 1, 1,
+                      1, 0, 0, 1, 1, 0,
+                      0, 0, 1, 0, 1, 1])
+        m2x = array(data=x, mask=m2)
+        m2X = array(data=X, mask=m2.reshape(X.shape))
+        m2XX = array(data=XX, mask=m2.reshape(XX.shape))
+        self.d = (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX)
+
+    def test_varstd(self):
+        # Tests var & std on MaskedArrays.
+        (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d
+        assert_almost_equal(mX.var(axis=None), mX.compressed().var())
+        assert_almost_equal(mX.std(axis=None), mX.compressed().std())
+        assert_equal(mXX.var(axis=3).shape, XX.var(axis=3).shape)
+        assert_equal(mX.var().shape, X.var().shape)
+        (mXvar0, mXvar1) = (mX.var(axis=0), mX.var(axis=1))
+        assert_almost_equal(mX.var(axis=None, ddof=2),
+                            mX.compressed().var(ddof=2))
+        assert_almost_equal(mX.std(axis=None, ddof=2),
+                            mX.compressed().std(ddof=2))
+        for k in range(6):
+            assert_almost_equal(mXvar1[k], mX[k].compressed().var())
+            assert_almost_equal(mXvar0[k], mX[:, k].compressed().var())
+            assert_almost_equal(np.sqrt(mXvar0[k]),
+                                mX[:, k].compressed().std())
+
+
+class TestMaskedArrayFunctions:
+    # Test class for miscellaneous functions.
+
+    def setup_method(self):
+        x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.])
+        y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.])
+        m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]
+        m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1]
+        xm = masked_array(x, mask=m1)
+        ym = masked_array(y, mask=m2)
+        xm.set_fill_value(1e+20)
+        self.info = (xm, ym)
+
+    def test_masked_where_bool(self):
+        x = [1, 2]
+        y = masked_where(False, x)
+        assert_equal(y, [1, 2])
+        assert_equal(y[1], 2)
+
+    def test_masked_equal_wlist(self):
+        x = [1, 2, 3]
+        mx = masked_equal(x, 3)
+        assert_equal(mx, x)
+        assert_equal(mx._mask, [0, 0, 1])
+        mx = masked_not_equal(x, 3)
+        assert_equal(mx, x)
+        assert_equal(mx._mask, [1, 1, 0])
+
+    def test_masked_equal_fill_value(self):
+        x = [1, 2, 3]
+        mx = masked_equal(x, 3)
+        assert_equal(mx._mask, [0, 0, 1])
+        assert_equal(mx.fill_value, 3)
+
+    def test_masked_where_condition(self):
+        # Tests masking functions.
+        x = array([1., 2., 3., 4., 5.])
+        x[2] = masked
+        assert_equal(masked_where(greater(x, 2), x), masked_greater(x, 2))
+        assert_equal(masked_where(greater_equal(x, 2), x),
+                     masked_greater_equal(x, 2))
+        assert_equal(masked_where(less(x, 2), x), masked_less(x, 2))
+        assert_equal(masked_where(less_equal(x, 2), x),
+                     masked_less_equal(x, 2))
+        assert_equal(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2))
+        assert_equal(masked_where(equal(x, 2), x), masked_equal(x, 2))
+        assert_equal(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2))
+        assert_equal(masked_where([1, 1, 0, 0, 0], [1, 2, 3, 4, 5]),
+                     [99, 99, 3, 4, 5])
+
+    def test_masked_where_oddities(self):
+        # Tests some generic features.
+        atest = ones((10, 10, 10), dtype=float)
+        btest = zeros(atest.shape, MaskType)
+        ctest = masked_where(btest, atest)
+        assert_equal(atest, ctest)
+
+    def test_masked_where_shape_constraint(self):
+        a = arange(10)
+        with assert_raises(IndexError):
+            masked_equal(1, a)
+        test = masked_equal(a, 1)
+        assert_equal(test.mask, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0])
+
+    def test_masked_where_structured(self):
+        # test that masked_where on a structured array sets a structured
+        # mask (see issue #2972)
+        a = np.zeros(10, dtype=[("A", " 6, x)
+
+    def test_masked_otherfunctions(self):
+        assert_equal(masked_inside(list(range(5)), 1, 3),
+                     [0, 199, 199, 199, 4])
+        assert_equal(masked_outside(list(range(5)), 1, 3), [199, 1, 2, 3, 199])
+        assert_equal(masked_inside(array(list(range(5)),
+                                         mask=[1, 0, 0, 0, 0]), 1, 3).mask,
+                     [1, 1, 1, 1, 0])
+        assert_equal(masked_outside(array(list(range(5)),
+                                          mask=[0, 1, 0, 0, 0]), 1, 3).mask,
+                     [1, 1, 0, 0, 1])
+        assert_equal(masked_equal(array(list(range(5)),
+                                        mask=[1, 0, 0, 0, 0]), 2).mask,
+                     [1, 0, 1, 0, 0])
+        assert_equal(masked_not_equal(array([2, 2, 1, 2, 1],
+                                            mask=[1, 0, 0, 0, 0]), 2).mask,
+                     [1, 0, 1, 0, 1])
+
+    def test_round(self):
+        a = array([1.23456, 2.34567, 3.45678, 4.56789, 5.67890],
+                  mask=[0, 1, 0, 0, 0])
+        assert_equal(a.round(), [1., 2., 3., 5., 6.])
+        assert_equal(a.round(1), [1.2, 2.3, 3.5, 4.6, 5.7])
+        assert_equal(a.round(3), [1.235, 2.346, 3.457, 4.568, 5.679])
+        b = empty_like(a)
+        a.round(out=b)
+        assert_equal(b, [1., 2., 3., 5., 6.])
+
+        x = array([1., 2., 3., 4., 5.])
+        c = array([1, 1, 1, 0, 0])
+        x[2] = masked
+        z = where(c, x, -x)
+        assert_equal(z, [1., 2., 0., -4., -5])
+        c[0] = masked
+        z = where(c, x, -x)
+        assert_equal(z, [1., 2., 0., -4., -5])
+        assert_(z[0] is masked)
+        assert_(z[1] is not masked)
+        assert_(z[2] is masked)
+
+    def test_round_with_output(self):
+        # Testing round with an explicit output
+
+        xm = array(np.random.uniform(0, 10, 12)).reshape(3, 4)
+        xm[:, 0] = xm[0] = xm[-1, -1] = masked
+
+        # A ndarray as explicit input
+        output = np.empty((3, 4), dtype=float)
+        output.fill(-9999)
+        result = np.round(xm, decimals=2, out=output)
+        # ... the result should be the given output
+        assert_(result is output)
+        assert_equal(result, xm.round(decimals=2, out=output))
+
+        output = empty((3, 4), dtype=float)
+        result = xm.round(decimals=2, out=output)
+        assert_(result is output)
+
+    def test_round_with_scalar(self):
+        # Testing round with scalar/zero dimension input
+        # GH issue 2244
+        a = array(1.1, mask=[False])
+        assert_equal(a.round(), 1)
+
+        a = array(1.1, mask=[True])
+        assert_(a.round() is masked)
+
+        a = array(1.1, mask=[False])
+        output = np.empty(1, dtype=float)
+        output.fill(-9999)
+        a.round(out=output)
+        assert_equal(output, 1)
+
+        a = array(1.1, mask=[False])
+        output = array(-9999., mask=[True])
+        a.round(out=output)
+        assert_equal(output[()], 1)
+
+        a = array(1.1, mask=[True])
+        output = array(-9999., mask=[False])
+        a.round(out=output)
+        assert_(output[()] is masked)
+
+    def test_identity(self):
+        a = identity(5)
+        assert_(isinstance(a, MaskedArray))
+        assert_equal(a, np.identity(5))
+
+    def test_power(self):
+        x = -1.1
+        assert_almost_equal(power(x, 2.), 1.21)
+        assert_(power(x, masked) is masked)
+        x = array([-1.1, -1.1, 1.1, 1.1, 0.])
+        b = array([0.5, 2., 0.5, 2., -1.], mask=[0, 0, 0, 0, 1])
+        y = power(x, b)
+        assert_almost_equal(y, [0, 1.21, 1.04880884817, 1.21, 0.])
+        assert_equal(y._mask, [1, 0, 0, 0, 1])
+        b.mask = nomask
+        y = power(x, b)
+        assert_equal(y._mask, [1, 0, 0, 0, 1])
+        z = x ** b
+        assert_equal(z._mask, y._mask)
+        assert_almost_equal(z, y)
+        assert_almost_equal(z._data, y._data)
+        x **= b
+        assert_equal(x._mask, y._mask)
+        assert_almost_equal(x, y)
+        assert_almost_equal(x._data, y._data)
+
+    def test_power_with_broadcasting(self):
+        # Test power w/ broadcasting
+        a2 = np.array([[1., 2., 3.], [4., 5., 6.]])
+        a2m = array(a2, mask=[[1, 0, 0], [0, 0, 1]])
+        b1 = np.array([2, 4, 3])
+        b2 = np.array([b1, b1])
+        b2m = array(b2, mask=[[0, 1, 0], [0, 1, 0]])
+
+        ctrl = array([[1 ** 2, 2 ** 4, 3 ** 3], [4 ** 2, 5 ** 4, 6 ** 3]],
+                     mask=[[1, 1, 0], [0, 1, 1]])
+        # No broadcasting, base & exp w/ mask
+        test = a2m ** b2m
+        assert_equal(test, ctrl)
+        assert_equal(test.mask, ctrl.mask)
+        # No broadcasting, base w/ mask, exp w/o mask
+        test = a2m ** b2
+        assert_equal(test, ctrl)
+        assert_equal(test.mask, a2m.mask)
+        # No broadcasting, base w/o mask, exp w/ mask
+        test = a2 ** b2m
+        assert_equal(test, ctrl)
+        assert_equal(test.mask, b2m.mask)
+
+        ctrl = array([[2 ** 2, 4 ** 4, 3 ** 3], [2 ** 2, 4 ** 4, 3 ** 3]],
+                     mask=[[0, 1, 0], [0, 1, 0]])
+        test = b1 ** b2m
+        assert_equal(test, ctrl)
+        assert_equal(test.mask, ctrl.mask)
+        test = b2m ** b1
+        assert_equal(test, ctrl)
+        assert_equal(test.mask, ctrl.mask)
+
+    @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm")
+    def test_where(self):
+        # Test the where function
+        x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.])
+        y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.])
+        m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]
+        m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1]
+        xm = masked_array(x, mask=m1)
+        ym = masked_array(y, mask=m2)
+        xm.set_fill_value(1e+20)
+
+        d = where(xm > 2, xm, -9)
+        assert_equal(d, [-9., -9., -9., -9., -9., 4.,
+                         -9., -9., 10., -9., -9., 3.])
+        assert_equal(d._mask, xm._mask)
+        d = where(xm > 2, -9, ym)
+        assert_equal(d, [5., 0., 3., 2., -1., -9.,
+                         -9., -10., -9., 1., 0., -9.])
+        assert_equal(d._mask, [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0])
+        d = where(xm > 2, xm, masked)
+        assert_equal(d, [-9., -9., -9., -9., -9., 4.,
+                         -9., -9., 10., -9., -9., 3.])
+        tmp = xm._mask.copy()
+        tmp[(xm <= 2).filled(True)] = True
+        assert_equal(d._mask, tmp)
+
+        with np.errstate(invalid="warn"):
+            # The fill value is 1e20, it cannot be converted to `int`:
+            with pytest.warns(RuntimeWarning, match="invalid value"):
+                ixm = xm.astype(int)
+        d = where(ixm > 2, ixm, masked)
+        assert_equal(d, [-9, -9, -9, -9, -9, 4, -9, -9, 10, -9, -9, 3])
+        assert_equal(d.dtype, ixm.dtype)
+
+    def test_where_object(self):
+        a = np.array(None)
+        b = masked_array(None)
+        r = b.copy()
+        assert_equal(np.ma.where(True, a, a), r)
+        assert_equal(np.ma.where(True, b, b), r)
+
+    def test_where_with_masked_choice(self):
+        x = arange(10)
+        x[3] = masked
+        c = x >= 8
+        # Set False to masked
+        z = where(c, x, masked)
+        assert_(z.dtype is x.dtype)
+        assert_(z[3] is masked)
+        assert_(z[4] is masked)
+        assert_(z[7] is masked)
+        assert_(z[8] is not masked)
+        assert_(z[9] is not masked)
+        assert_equal(x, z)
+        # Set True to masked
+        z = where(c, masked, x)
+        assert_(z.dtype is x.dtype)
+        assert_(z[3] is masked)
+        assert_(z[4] is not masked)
+        assert_(z[7] is not masked)
+        assert_(z[8] is masked)
+        assert_(z[9] is masked)
+
+    def test_where_with_masked_condition(self):
+        x = array([1., 2., 3., 4., 5.])
+        c = array([1, 1, 1, 0, 0])
+        x[2] = masked
+        z = where(c, x, -x)
+        assert_equal(z, [1., 2., 0., -4., -5])
+        c[0] = masked
+        z = where(c, x, -x)
+        assert_equal(z, [1., 2., 0., -4., -5])
+        assert_(z[0] is masked)
+        assert_(z[1] is not masked)
+        assert_(z[2] is masked)
+
+        x = arange(1, 6)
+        x[-1] = masked
+        y = arange(1, 6) * 10
+        y[2] = masked
+        c = array([1, 1, 1, 0, 0], mask=[1, 0, 0, 0, 0])
+        cm = c.filled(1)
+        z = where(c, x, y)
+        zm = where(cm, x, y)
+        assert_equal(z, zm)
+        assert_(getmask(zm) is nomask)
+        assert_equal(zm, [1, 2, 3, 40, 50])
+        z = where(c, masked, 1)
+        assert_equal(z, [99, 99, 99, 1, 1])
+        z = where(c, 1, masked)
+        assert_equal(z, [99, 1, 1, 99, 99])
+
+    def test_where_type(self):
+        # Test the type conservation with where
+        x = np.arange(4, dtype=np.int32)
+        y = np.arange(4, dtype=np.float32) * 2.2
+        test = where(x > 1.5, y, x).dtype
+        control = np.result_type(np.int32, np.float32)
+        assert_equal(test, control)
+
+    def test_where_broadcast(self):
+        # Issue 8599
+        x = np.arange(9).reshape(3, 3)
+        y = np.zeros(3)
+        core = np.where([1, 0, 1], x, y)
+        ma = where([1, 0, 1], x, y)
+
+        assert_equal(core, ma)
+        assert_equal(core.dtype, ma.dtype)
+
+    def test_where_structured(self):
+        # Issue 8600
+        dt = np.dtype([('a', int), ('b', int)])
+        x = np.array([(1, 2), (3, 4), (5, 6)], dtype=dt)
+        y = np.array((10, 20), dtype=dt)
+        core = np.where([0, 1, 1], x, y)
+        ma = np.where([0, 1, 1], x, y)
+
+        assert_equal(core, ma)
+        assert_equal(core.dtype, ma.dtype)
+
+    def test_where_structured_masked(self):
+        dt = np.dtype([('a', int), ('b', int)])
+        x = np.array([(1, 2), (3, 4), (5, 6)], dtype=dt)
+
+        ma = where([0, 1, 1], x, masked)
+        expected = masked_where([1, 0, 0], x)
+
+        assert_equal(ma.dtype, expected.dtype)
+        assert_equal(ma, expected)
+        assert_equal(ma.mask, expected.mask)
+
+    def test_masked_invalid_error(self):
+        a = np.arange(5, dtype=object)
+        a[3] = np.inf
+        a[2] = np.nan
+        with pytest.raises(TypeError,
+                           match="not supported for the input types"):
+            np.ma.masked_invalid(a)
+
+    def test_masked_invalid_pandas(self):
+        # getdata() used to be bad for pandas series due to its _data
+        # attribute.  This test is a regression test mainly and may be
+        # removed if getdata() is adjusted.
+        class Series:
+            _data = "nonsense"
+
+            def __array__(self, dtype=None, copy=None):
+                return np.array([5, np.nan, np.inf])
+
+        arr = np.ma.masked_invalid(Series())
+        assert_array_equal(arr._data, np.array(Series()))
+        assert_array_equal(arr._mask, [False, True, True])
+
+    @pytest.mark.parametrize("copy", [True, False])
+    def test_masked_invalid_full_mask(self, copy):
+        # Matplotlib relied on masked_invalid always returning a full mask
+        # (Also astropy projects, but were ok with it gh-22720 and gh-22842)
+        a = np.ma.array([1, 2, 3, 4])
+        assert a._mask is nomask
+        res = np.ma.masked_invalid(a, copy=copy)
+        assert res.mask is not nomask
+        # mask of a should not be mutated
+        assert a.mask is nomask
+        assert np.may_share_memory(a._data, res._data) != copy
+
+    def test_choose(self):
+        # Test choose
+        choices = [[0, 1, 2, 3], [10, 11, 12, 13],
+                   [20, 21, 22, 23], [30, 31, 32, 33]]
+        chosen = choose([2, 3, 1, 0], choices)
+        assert_equal(chosen, array([20, 31, 12, 3]))
+        chosen = choose([2, 4, 1, 0], choices, mode='clip')
+        assert_equal(chosen, array([20, 31, 12, 3]))
+        chosen = choose([2, 4, 1, 0], choices, mode='wrap')
+        assert_equal(chosen, array([20, 1, 12, 3]))
+        # Check with some masked indices
+        indices_ = array([2, 4, 1, 0], mask=[1, 0, 0, 1])
+        chosen = choose(indices_, choices, mode='wrap')
+        assert_equal(chosen, array([99, 1, 12, 99]))
+        assert_equal(chosen.mask, [1, 0, 0, 1])
+        # Check with some masked choices
+        choices = array(choices, mask=[[0, 0, 0, 1], [1, 1, 0, 1],
+                                       [1, 0, 0, 0], [0, 0, 0, 0]])
+        indices_ = [2, 3, 1, 0]
+        chosen = choose(indices_, choices, mode='wrap')
+        assert_equal(chosen, array([20, 31, 12, 3]))
+        assert_equal(chosen.mask, [1, 0, 0, 1])
+
+    def test_choose_with_out(self):
+        # Test choose with an explicit out keyword
+        choices = [[0, 1, 2, 3], [10, 11, 12, 13],
+                   [20, 21, 22, 23], [30, 31, 32, 33]]
+        store = empty(4, dtype=int)
+        chosen = choose([2, 3, 1, 0], choices, out=store)
+        assert_equal(store, array([20, 31, 12, 3]))
+        assert_(store is chosen)
+        # Check with some masked indices + out
+        store = empty(4, dtype=int)
+        indices_ = array([2, 3, 1, 0], mask=[1, 0, 0, 1])
+        chosen = choose(indices_, choices, mode='wrap', out=store)
+        assert_equal(store, array([99, 31, 12, 99]))
+        assert_equal(store.mask, [1, 0, 0, 1])
+        # Check with some masked choices + out ina ndarray !
+        choices = array(choices, mask=[[0, 0, 0, 1], [1, 1, 0, 1],
+                                       [1, 0, 0, 0], [0, 0, 0, 0]])
+        indices_ = [2, 3, 1, 0]
+        store = empty(4, dtype=int).view(ndarray)
+        chosen = choose(indices_, choices, mode='wrap', out=store)
+        assert_equal(store, array([999999, 31, 12, 999999]))
+
+    def test_reshape(self):
+        a = arange(10)
+        a[0] = masked
+        # Try the default
+        b = a.reshape((5, 2))
+        assert_equal(b.shape, (5, 2))
+        assert_(b.flags['C'])
+        # Try w/ arguments as list instead of tuple
+        b = a.reshape(5, 2)
+        assert_equal(b.shape, (5, 2))
+        assert_(b.flags['C'])
+        # Try w/ order
+        b = a.reshape((5, 2), order='F')
+        assert_equal(b.shape, (5, 2))
+        assert_(b.flags['F'])
+        # Try w/ order
+        b = a.reshape(5, 2, order='F')
+        assert_equal(b.shape, (5, 2))
+        assert_(b.flags['F'])
+
+        c = np.reshape(a, (2, 5))
+        assert_(isinstance(c, MaskedArray))
+        assert_equal(c.shape, (2, 5))
+        assert_(c[0, 0] is masked)
+        assert_(c.flags['C'])
+
+    def test_make_mask_descr(self):
+        # Flexible
+        ntype = [('a', float), ('b', float)]
+        test = make_mask_descr(ntype)
+        assert_equal(test, [('a', bool), ('b', bool)])
+        assert_(test is make_mask_descr(test))
+
+        # Standard w/ shape
+        ntype = (float, 2)
+        test = make_mask_descr(ntype)
+        assert_equal(test, (bool, 2))
+        assert_(test is make_mask_descr(test))
+
+        # Standard standard
+        ntype = float
+        test = make_mask_descr(ntype)
+        assert_equal(test, np.dtype(bool))
+        assert_(test is make_mask_descr(test))
+
+        # Nested
+        ntype = [('a', float), ('b', [('ba', float), ('bb', float)])]
+        test = make_mask_descr(ntype)
+        control = np.dtype([('a', 'b1'), ('b', [('ba', 'b1'), ('bb', 'b1')])])
+        assert_equal(test, control)
+        assert_(test is make_mask_descr(test))
+
+        # Named+ shape
+        ntype = [('a', (float, 2))]
+        test = make_mask_descr(ntype)
+        assert_equal(test, np.dtype([('a', (bool, 2))]))
+        assert_(test is make_mask_descr(test))
+
+        # 2 names
+        ntype = [(('A', 'a'), float)]
+        test = make_mask_descr(ntype)
+        assert_equal(test, np.dtype([(('A', 'a'), bool)]))
+        assert_(test is make_mask_descr(test))
+
+        # nested boolean types should preserve identity
+        base_type = np.dtype([('a', int, 3)])
+        base_mtype = make_mask_descr(base_type)
+        sub_type = np.dtype([('a', int), ('b', base_mtype)])
+        test = make_mask_descr(sub_type)
+        assert_equal(test, np.dtype([('a', bool), ('b', [('a', bool, 3)])]))
+        assert_(test.fields['b'][0] is base_mtype)
+
+    def test_make_mask(self):
+        # Test make_mask
+        # w/ a list as an input
+        mask = [0, 1]
+        test = make_mask(mask)
+        assert_equal(test.dtype, MaskType)
+        assert_equal(test, [0, 1])
+        # w/ a ndarray as an input
+        mask = np.array([0, 1], dtype=bool)
+        test = make_mask(mask)
+        assert_equal(test.dtype, MaskType)
+        assert_equal(test, [0, 1])
+        # w/ a flexible-type ndarray as an input - use default
+        mdtype = [('a', bool), ('b', bool)]
+        mask = np.array([(0, 0), (0, 1)], dtype=mdtype)
+        test = make_mask(mask)
+        assert_equal(test.dtype, MaskType)
+        assert_equal(test, [1, 1])
+        # w/ a flexible-type ndarray as an input - use input dtype
+        mdtype = [('a', bool), ('b', bool)]
+        mask = np.array([(0, 0), (0, 1)], dtype=mdtype)
+        test = make_mask(mask, dtype=mask.dtype)
+        assert_equal(test.dtype, mdtype)
+        assert_equal(test, mask)
+        # w/ a flexible-type ndarray as an input - use input dtype
+        mdtype = [('a', float), ('b', float)]
+        bdtype = [('a', bool), ('b', bool)]
+        mask = np.array([(0, 0), (0, 1)], dtype=mdtype)
+        test = make_mask(mask, dtype=mask.dtype)
+        assert_equal(test.dtype, bdtype)
+        assert_equal(test, np.array([(0, 0), (0, 1)], dtype=bdtype))
+        # Ensure this also works for void
+        mask = np.array((False, True), dtype='?,?')[()]
+        assert_(isinstance(mask, np.void))
+        test = make_mask(mask, dtype=mask.dtype)
+        assert_equal(test, mask)
+        assert_(test is not mask)
+        mask = np.array((0, 1), dtype='i4,i4')[()]
+        test2 = make_mask(mask, dtype=mask.dtype)
+        assert_equal(test2, test)
+        # test that nomask is returned when m is nomask.
+        bools = [True, False]
+        dtypes = [MaskType, float]
+        msgformat = 'copy=%s, shrink=%s, dtype=%s'
+        for cpy, shr, dt in itertools.product(bools, bools, dtypes):
+            res = make_mask(nomask, copy=cpy, shrink=shr, dtype=dt)
+            assert_(res is nomask, msgformat % (cpy, shr, dt))
+
+    def test_mask_or(self):
+        # Initialize
+        mtype = [('a', bool), ('b', bool)]
+        mask = np.array([(0, 0), (0, 1), (1, 0), (0, 0)], dtype=mtype)
+        # Test using nomask as input
+        test = mask_or(mask, nomask)
+        assert_equal(test, mask)
+        test = mask_or(nomask, mask)
+        assert_equal(test, mask)
+        # Using False as input
+        test = mask_or(mask, False)
+        assert_equal(test, mask)
+        # Using another array w / the same dtype
+        other = np.array([(0, 1), (0, 1), (0, 1), (0, 1)], dtype=mtype)
+        test = mask_or(mask, other)
+        control = np.array([(0, 1), (0, 1), (1, 1), (0, 1)], dtype=mtype)
+        assert_equal(test, control)
+        # Using another array w / a different dtype
+        othertype = [('A', bool), ('B', bool)]
+        other = np.array([(0, 1), (0, 1), (0, 1), (0, 1)], dtype=othertype)
+        try:
+            test = mask_or(mask, other)
+        except ValueError:
+            pass
+        # Using nested arrays
+        dtype = [('a', bool), ('b', [('ba', bool), ('bb', bool)])]
+        amask = np.array([(0, (1, 0)), (0, (1, 0))], dtype=dtype)
+        bmask = np.array([(1, (0, 1)), (0, (0, 0))], dtype=dtype)
+        cntrl = np.array([(1, (1, 1)), (0, (1, 0))], dtype=dtype)
+        assert_equal(mask_or(amask, bmask), cntrl)
+
+        a = np.array([False, False])
+        assert mask_or(a, a) is nomask  # gh-27360
+
+    def test_allequal(self):
+        x = array([1, 2, 3], mask=[0, 0, 0])
+        y = array([1, 2, 3], mask=[1, 0, 0])
+        z = array([[1, 2, 3], [4, 5, 6]], mask=[[0, 0, 0], [1, 1, 1]])
+
+        assert allequal(x, y)
+        assert not allequal(x, y, fill_value=False)
+        assert allequal(x, z)
+
+        # test allequal for the same input, with mask=nomask, this test is for
+        # the scenario raised in https://github.com/numpy/numpy/issues/27201
+        assert allequal(x, x)
+        assert allequal(x, x, fill_value=False)
+
+        assert allequal(y, y)
+        assert not allequal(y, y, fill_value=False)
+
+    def test_flatten_mask(self):
+        # Tests flatten mask
+        # Standard dtype
+        mask = np.array([0, 0, 1], dtype=bool)
+        assert_equal(flatten_mask(mask), mask)
+        # Flexible dtype
+        mask = np.array([(0, 0), (0, 1)], dtype=[('a', bool), ('b', bool)])
+        test = flatten_mask(mask)
+        control = np.array([0, 0, 0, 1], dtype=bool)
+        assert_equal(test, control)
+
+        mdtype = [('a', bool), ('b', [('ba', bool), ('bb', bool)])]
+        data = [(0, (0, 0)), (0, (0, 1))]
+        mask = np.array(data, dtype=mdtype)
+        test = flatten_mask(mask)
+        control = np.array([0, 0, 0, 0, 0, 1], dtype=bool)
+        assert_equal(test, control)
+
+    def test_on_ndarray(self):
+        # Test functions on ndarrays
+        a = np.array([1, 2, 3, 4])
+        m = array(a, mask=False)
+        test = anom(a)
+        assert_equal(test, m.anom())
+        test = reshape(a, (2, 2))
+        assert_equal(test, m.reshape(2, 2))
+
+    def test_compress(self):
+        # Test compress function on ndarray and masked array
+        # Address Github #2495.
+        arr = np.arange(8)
+        arr.shape = 4, 2
+        cond = np.array([True, False, True, True])
+        control = arr[[0, 2, 3]]
+        test = np.ma.compress(cond, arr, axis=0)
+        assert_equal(test, control)
+        marr = np.ma.array(arr)
+        test = np.ma.compress(cond, marr, axis=0)
+        assert_equal(test, control)
+
+    def test_compressed(self):
+        # Test ma.compressed function.
+        # Address gh-4026
+        a = np.ma.array([1, 2])
+        test = np.ma.compressed(a)
+        assert_(type(test) is np.ndarray)
+
+        # Test case when input data is ndarray subclass
+        class A(np.ndarray):
+            pass
+
+        a = np.ma.array(A(shape=0))
+        test = np.ma.compressed(a)
+        assert_(type(test) is A)
+
+        # Test that compress flattens
+        test = np.ma.compressed([[1],[2]])
+        assert_equal(test.ndim, 1)
+        test = np.ma.compressed([[[[[1]]]]])
+        assert_equal(test.ndim, 1)
+
+        # Test case when input is MaskedArray subclass
+        class M(MaskedArray):
+            pass
+
+        test = np.ma.compressed(M([[[]], [[]]]))
+        assert_equal(test.ndim, 1)
+
+        # with .compressed() overridden
+        class M(MaskedArray):
+            def compressed(self):
+                return 42
+
+        test = np.ma.compressed(M([[[]], [[]]]))
+        assert_equal(test, 42)
+
+    def test_convolve(self):
+        a = masked_equal(np.arange(5), 2)
+        b = np.array([1, 1])
+
+        result = masked_equal([0, 1, -1, -1, 7, 4], -1)
+        test = np.ma.convolve(a, b, mode='full')
+        assert_equal(test, result)
+
+        test = np.ma.convolve(a, b, mode='same')
+        assert_equal(test, result[:-1])
+
+        test = np.ma.convolve(a, b, mode='valid')
+        assert_equal(test, result[1:-1])
+
+        result = masked_equal([0, 1, 1, 3, 7, 4], -1)
+        test = np.ma.convolve(a, b, mode='full', propagate_mask=False)
+        assert_equal(test, result)
+
+        test = np.ma.convolve(a, b, mode='same', propagate_mask=False)
+        assert_equal(test, result[:-1])
+
+        test = np.ma.convolve(a, b, mode='valid', propagate_mask=False)
+        assert_equal(test, result[1:-1])
+
+        test = np.ma.convolve([1, 1], [1, 1, 1])
+        assert_equal(test, masked_equal([1, 2, 2, 1], -1))
+
+        a = [1, 1]
+        b = masked_equal([1, -1, -1, 1], -1)
+        test = np.ma.convolve(a, b, propagate_mask=False)
+        assert_equal(test, masked_equal([1, 1, -1, 1, 1], -1))
+        test = np.ma.convolve(a, b, propagate_mask=True)
+        assert_equal(test, masked_equal([-1, -1, -1, -1, -1], -1))
+
+
+class TestMaskedFields:
+
+    def setup_method(self):
+        ilist = [1, 2, 3, 4, 5]
+        flist = [1.1, 2.2, 3.3, 4.4, 5.5]
+        slist = ['one', 'two', 'three', 'four', 'five']
+        ddtype = [('a', int), ('b', float), ('c', '|S8')]
+        mdtype = [('a', bool), ('b', bool), ('c', bool)]
+        mask = [0, 1, 0, 0, 1]
+        base = array(list(zip(ilist, flist, slist)), mask=mask, dtype=ddtype)
+        self.data = dict(base=base, mask=mask, ddtype=ddtype, mdtype=mdtype)
+
+    def test_set_records_masks(self):
+        base = self.data['base']
+        mdtype = self.data['mdtype']
+        # Set w/ nomask or masked
+        base.mask = nomask
+        assert_equal_records(base._mask, np.zeros(base.shape, dtype=mdtype))
+        base.mask = masked
+        assert_equal_records(base._mask, np.ones(base.shape, dtype=mdtype))
+        # Set w/ simple boolean
+        base.mask = False
+        assert_equal_records(base._mask, np.zeros(base.shape, dtype=mdtype))
+        base.mask = True
+        assert_equal_records(base._mask, np.ones(base.shape, dtype=mdtype))
+        # Set w/ list
+        base.mask = [0, 0, 0, 1, 1]
+        assert_equal_records(base._mask,
+                             np.array([(x, x, x) for x in [0, 0, 0, 1, 1]],
+                                      dtype=mdtype))
+
+    def test_set_record_element(self):
+        # Check setting an element of a record)
+        base = self.data['base']
+        (base_a, base_b, base_c) = (base['a'], base['b'], base['c'])
+        base[0] = (pi, pi, 'pi')
+
+        assert_equal(base_a.dtype, int)
+        assert_equal(base_a._data, [3, 2, 3, 4, 5])
+
+        assert_equal(base_b.dtype, float)
+        assert_equal(base_b._data, [pi, 2.2, 3.3, 4.4, 5.5])
+
+        assert_equal(base_c.dtype, '|S8')
+        assert_equal(base_c._data,
+                     [b'pi', b'two', b'three', b'four', b'five'])
+
+    def test_set_record_slice(self):
+        base = self.data['base']
+        (base_a, base_b, base_c) = (base['a'], base['b'], base['c'])
+        base[:3] = (pi, pi, 'pi')
+
+        assert_equal(base_a.dtype, int)
+        assert_equal(base_a._data, [3, 3, 3, 4, 5])
+
+        assert_equal(base_b.dtype, float)
+        assert_equal(base_b._data, [pi, pi, pi, 4.4, 5.5])
+
+        assert_equal(base_c.dtype, '|S8')
+        assert_equal(base_c._data,
+                     [b'pi', b'pi', b'pi', b'four', b'five'])
+
+    def test_mask_element(self):
+        "Check record access"
+        base = self.data['base']
+        base[0] = masked
+
+        for n in ('a', 'b', 'c'):
+            assert_equal(base[n].mask, [1, 1, 0, 0, 1])
+            assert_equal(base[n]._data, base._data[n])
+
+    def test_getmaskarray(self):
+        # Test getmaskarray on flexible dtype
+        ndtype = [('a', int), ('b', float)]
+        test = empty(3, dtype=ndtype)
+        assert_equal(getmaskarray(test),
+                     np.array([(0, 0), (0, 0), (0, 0)],
+                              dtype=[('a', '|b1'), ('b', '|b1')]))
+        test[:] = masked
+        assert_equal(getmaskarray(test),
+                     np.array([(1, 1), (1, 1), (1, 1)],
+                              dtype=[('a', '|b1'), ('b', '|b1')]))
+
+    def test_view(self):
+        # Test view w/ flexible dtype
+        iterator = list(zip(np.arange(10), np.random.rand(10)))
+        data = np.array(iterator)
+        a = array(iterator, dtype=[('a', float), ('b', float)])
+        a.mask[0] = (1, 0)
+        controlmask = np.array([1] + 19 * [0], dtype=bool)
+        # Transform globally to simple dtype
+        test = a.view(float)
+        assert_equal(test, data.ravel())
+        assert_equal(test.mask, controlmask)
+        # Transform globally to dty
+        test = a.view((float, 2))
+        assert_equal(test, data)
+        assert_equal(test.mask, controlmask.reshape(-1, 2))
+
+    def test_getitem(self):
+        ndtype = [('a', float), ('b', float)]
+        a = array(list(zip(np.random.rand(10), np.arange(10))), dtype=ndtype)
+        a.mask = np.array(list(zip([0, 0, 0, 0, 0, 0, 0, 0, 1, 1],
+                                   [1, 0, 0, 0, 0, 0, 0, 0, 1, 0])),
+                          dtype=[('a', bool), ('b', bool)])
+
+        def _test_index(i):
+            assert_equal(type(a[i]), mvoid)
+            assert_equal_records(a[i]._data, a._data[i])
+            assert_equal_records(a[i]._mask, a._mask[i])
+
+            assert_equal(type(a[i, ...]), MaskedArray)
+            assert_equal_records(a[i,...]._data, a._data[i,...])
+            assert_equal_records(a[i,...]._mask, a._mask[i,...])
+
+        _test_index(1)   # No mask
+        _test_index(0)   # One element masked
+        _test_index(-2)  # All element masked
+
+    def test_setitem(self):
+        # Issue 4866: check that one can set individual items in [record][col]
+        # and [col][record] order
+        ndtype = np.dtype([('a', float), ('b', int)])
+        ma = np.ma.MaskedArray([(1.0, 1), (2.0, 2)], dtype=ndtype)
+        ma['a'][1] = 3.0
+        assert_equal(ma['a'], np.array([1.0, 3.0]))
+        ma[1]['a'] = 4.0
+        assert_equal(ma['a'], np.array([1.0, 4.0]))
+        # Issue 2403
+        mdtype = np.dtype([('a', bool), ('b', bool)])
+        # soft mask
+        control = np.array([(False, True), (True, True)], dtype=mdtype)
+        a = np.ma.masked_all((2,), dtype=ndtype)
+        a['a'][0] = 2
+        assert_equal(a.mask, control)
+        a = np.ma.masked_all((2,), dtype=ndtype)
+        a[0]['a'] = 2
+        assert_equal(a.mask, control)
+        # hard mask
+        control = np.array([(True, True), (True, True)], dtype=mdtype)
+        a = np.ma.masked_all((2,), dtype=ndtype)
+        a.harden_mask()
+        a['a'][0] = 2
+        assert_equal(a.mask, control)
+        a = np.ma.masked_all((2,), dtype=ndtype)
+        a.harden_mask()
+        a[0]['a'] = 2
+        assert_equal(a.mask, control)
+
+    def test_setitem_scalar(self):
+        # 8510
+        mask_0d = np.ma.masked_array(1, mask=True)
+        arr = np.ma.arange(3)
+        arr[0] = mask_0d
+        assert_array_equal(arr.mask, [True, False, False])
+
+    def test_element_len(self):
+        # check that len() works for mvoid (Github issue #576)
+        for rec in self.data['base']:
+            assert_equal(len(rec), len(self.data['ddtype']))
+
+
+class TestMaskedObjectArray:
+
+    def test_getitem(self):
+        arr = np.ma.array([None, None])
+        for dt in [float, object]:
+            a0 = np.eye(2).astype(dt)
+            a1 = np.eye(3).astype(dt)
+            arr[0] = a0
+            arr[1] = a1
+
+            assert_(arr[0] is a0)
+            assert_(arr[1] is a1)
+            assert_(isinstance(arr[0,...], MaskedArray))
+            assert_(isinstance(arr[1,...], MaskedArray))
+            assert_(arr[0,...][()] is a0)
+            assert_(arr[1,...][()] is a1)
+
+            arr[0] = np.ma.masked
+
+            assert_(arr[1] is a1)
+            assert_(isinstance(arr[0,...], MaskedArray))
+            assert_(isinstance(arr[1,...], MaskedArray))
+            assert_equal(arr[0,...].mask, True)
+            assert_(arr[1,...][()] is a1)
+
+            # gh-5962 - object arrays of arrays do something special
+            assert_equal(arr[0].data, a0)
+            assert_equal(arr[0].mask, True)
+            assert_equal(arr[0,...][()].data, a0)
+            assert_equal(arr[0,...][()].mask, True)
+
+    def test_nested_ma(self):
+
+        arr = np.ma.array([None, None])
+        # set the first object to be an unmasked masked constant. A little fiddly
+        arr[0,...] = np.array([np.ma.masked], object)[0,...]
+
+        # check the above line did what we were aiming for
+        assert_(arr.data[0] is np.ma.masked)
+
+        # test that getitem returned the value by identity
+        assert_(arr[0] is np.ma.masked)
+
+        # now mask the masked value!
+        arr[0] = np.ma.masked
+        assert_(arr[0] is np.ma.masked)
+
+
+class TestMaskedView:
+
+    def setup_method(self):
+        iterator = list(zip(np.arange(10), np.random.rand(10)))
+        data = np.array(iterator)
+        a = array(iterator, dtype=[('a', float), ('b', float)])
+        a.mask[0] = (1, 0)
+        controlmask = np.array([1] + 19 * [0], dtype=bool)
+        self.data = (data, a, controlmask)
+
+    def test_view_to_nothing(self):
+        (data, a, controlmask) = self.data
+        test = a.view()
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test._data, a._data)
+        assert_equal(test._mask, a._mask)
+
+    def test_view_to_type(self):
+        (data, a, controlmask) = self.data
+        test = a.view(np.ndarray)
+        assert_(not isinstance(test, MaskedArray))
+        assert_equal(test, a._data)
+        assert_equal_records(test, data.view(a.dtype).squeeze())
+
+    def test_view_to_simple_dtype(self):
+        (data, a, controlmask) = self.data
+        # View globally
+        test = a.view(float)
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, data.ravel())
+        assert_equal(test.mask, controlmask)
+
+    def test_view_to_flexible_dtype(self):
+        (data, a, controlmask) = self.data
+
+        test = a.view([('A', float), ('B', float)])
+        assert_equal(test.mask.dtype.names, ('A', 'B'))
+        assert_equal(test['A'], a['a'])
+        assert_equal(test['B'], a['b'])
+
+        test = a[0].view([('A', float), ('B', float)])
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test.mask.dtype.names, ('A', 'B'))
+        assert_equal(test['A'], a['a'][0])
+        assert_equal(test['B'], a['b'][0])
+
+        test = a[-1].view([('A', float), ('B', float)])
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test.dtype.names, ('A', 'B'))
+        assert_equal(test['A'], a['a'][-1])
+        assert_equal(test['B'], a['b'][-1])
+
+    def test_view_to_subdtype(self):
+        (data, a, controlmask) = self.data
+        # View globally
+        test = a.view((float, 2))
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, data)
+        assert_equal(test.mask, controlmask.reshape(-1, 2))
+        # View on 1 masked element
+        test = a[0].view((float, 2))
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, data[0])
+        assert_equal(test.mask, (1, 0))
+        # View on 1 unmasked element
+        test = a[-1].view((float, 2))
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, data[-1])
+
+    def test_view_to_dtype_and_type(self):
+        (data, a, controlmask) = self.data
+
+        test = a.view((float, 2), np.recarray)
+        assert_equal(test, data)
+        assert_(isinstance(test, np.recarray))
+        assert_(not isinstance(test, MaskedArray))
+
+
+class TestOptionalArgs:
+    def test_ndarrayfuncs(self):
+        # test axis arg behaves the same as ndarray (including multiple axes)
+
+        d = np.arange(24.0).reshape((2,3,4))
+        m = np.zeros(24, dtype=bool).reshape((2,3,4))
+        # mask out last element of last dimension
+        m[:,:,-1] = True
+        a = np.ma.array(d, mask=m)
+
+        def testaxis(f, a, d):
+            numpy_f = numpy.__getattribute__(f)
+            ma_f = np.ma.__getattribute__(f)
+
+            # test axis arg
+            assert_equal(ma_f(a, axis=1)[...,:-1], numpy_f(d[...,:-1], axis=1))
+            assert_equal(ma_f(a, axis=(0,1))[...,:-1],
+                         numpy_f(d[...,:-1], axis=(0,1)))
+
+        def testkeepdims(f, a, d):
+            numpy_f = numpy.__getattribute__(f)
+            ma_f = np.ma.__getattribute__(f)
+
+            # test keepdims arg
+            assert_equal(ma_f(a, keepdims=True).shape,
+                         numpy_f(d, keepdims=True).shape)
+            assert_equal(ma_f(a, keepdims=False).shape,
+                         numpy_f(d, keepdims=False).shape)
+
+            # test both at once
+            assert_equal(ma_f(a, axis=1, keepdims=True)[...,:-1],
+                         numpy_f(d[...,:-1], axis=1, keepdims=True))
+            assert_equal(ma_f(a, axis=(0,1), keepdims=True)[...,:-1],
+                         numpy_f(d[...,:-1], axis=(0,1), keepdims=True))
+
+        for f in ['sum', 'prod', 'mean', 'var', 'std']:
+            testaxis(f, a, d)
+            testkeepdims(f, a, d)
+
+        for f in ['min', 'max']:
+            testaxis(f, a, d)
+
+        d = (np.arange(24).reshape((2,3,4))%2 == 0)
+        a = np.ma.array(d, mask=m)
+        for f in ['all', 'any']:
+            testaxis(f, a, d)
+            testkeepdims(f, a, d)
+
+    def test_count(self):
+        # test np.ma.count specially
+
+        d = np.arange(24.0).reshape((2,3,4))
+        m = np.zeros(24, dtype=bool).reshape((2,3,4))
+        m[:,0,:] = True
+        a = np.ma.array(d, mask=m)
+
+        assert_equal(count(a), 16)
+        assert_equal(count(a, axis=1), 2*ones((2,4)))
+        assert_equal(count(a, axis=(0,1)), 4*ones((4,)))
+        assert_equal(count(a, keepdims=True), 16*ones((1,1,1)))
+        assert_equal(count(a, axis=1, keepdims=True), 2*ones((2,1,4)))
+        assert_equal(count(a, axis=(0,1), keepdims=True), 4*ones((1,1,4)))
+        assert_equal(count(a, axis=-2), 2*ones((2,4)))
+        assert_raises(ValueError, count, a, axis=(1,1))
+        assert_raises(AxisError, count, a, axis=3)
+
+        # check the 'nomask' path
+        a = np.ma.array(d, mask=nomask)
+
+        assert_equal(count(a), 24)
+        assert_equal(count(a, axis=1), 3*ones((2,4)))
+        assert_equal(count(a, axis=(0,1)), 6*ones((4,)))
+        assert_equal(count(a, keepdims=True), 24*ones((1,1,1)))
+        assert_equal(np.ndim(count(a, keepdims=True)), 3)
+        assert_equal(count(a, axis=1, keepdims=True), 3*ones((2,1,4)))
+        assert_equal(count(a, axis=(0,1), keepdims=True), 6*ones((1,1,4)))
+        assert_equal(count(a, axis=-2), 3*ones((2,4)))
+        assert_raises(ValueError, count, a, axis=(1,1))
+        assert_raises(AxisError, count, a, axis=3)
+
+        # check the 'masked' singleton
+        assert_equal(count(np.ma.masked), 0)
+
+        # check 0-d arrays do not allow axis > 0
+        assert_raises(AxisError, count, np.ma.array(1), axis=1)
+
+
+class TestMaskedConstant:
+    def _do_add_test(self, add):
+        # sanity check
+        assert_(add(np.ma.masked, 1) is np.ma.masked)
+
+        # now try with a vector
+        vector = np.array([1, 2, 3])
+        result = add(np.ma.masked, vector)
+
+        # lots of things could go wrong here
+        assert_(result is not np.ma.masked)
+        assert_(not isinstance(result, np.ma.core.MaskedConstant))
+        assert_equal(result.shape, vector.shape)
+        assert_equal(np.ma.getmask(result), np.ones(vector.shape, dtype=bool))
+
+    def test_ufunc(self):
+        self._do_add_test(np.add)
+
+    def test_operator(self):
+        self._do_add_test(lambda a, b: a + b)
+
+    def test_ctor(self):
+        m = np.ma.array(np.ma.masked)
+
+        # most importantly, we do not want to create a new MaskedConstant
+        # instance
+        assert_(not isinstance(m, np.ma.core.MaskedConstant))
+        assert_(m is not np.ma.masked)
+
+    def test_repr(self):
+        # copies should not exist, but if they do, it should be obvious that
+        # something is wrong
+        assert_equal(repr(np.ma.masked), 'masked')
+
+        # create a new instance in a weird way
+        masked2 = np.ma.MaskedArray.__new__(np.ma.core.MaskedConstant)
+        assert_not_equal(repr(masked2), 'masked')
+
+    def test_pickle(self):
+        from io import BytesIO
+
+        for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+            with BytesIO() as f:
+                pickle.dump(np.ma.masked, f, protocol=proto)
+                f.seek(0)
+                res = pickle.load(f)
+            assert_(res is np.ma.masked)
+
+    def test_copy(self):
+        # gh-9328
+        # copy is a no-op, like it is with np.True_
+        assert_equal(
+            np.ma.masked.copy() is np.ma.masked,
+            np.True_.copy() is np.True_)
+
+    def test__copy(self):
+        import copy
+        assert_(
+            copy.copy(np.ma.masked) is np.ma.masked)
+
+    def test_deepcopy(self):
+        import copy
+        assert_(
+            copy.deepcopy(np.ma.masked) is np.ma.masked)
+
+    def test_immutable(self):
+        orig = np.ma.masked
+        assert_raises(np.ma.core.MaskError, operator.setitem, orig, (), 1)
+        assert_raises(ValueError,operator.setitem, orig.data, (), 1)
+        assert_raises(ValueError, operator.setitem, orig.mask, (), False)
+
+        view = np.ma.masked.view(np.ma.MaskedArray)
+        assert_raises(ValueError, operator.setitem, view, (), 1)
+        assert_raises(ValueError, operator.setitem, view.data, (), 1)
+        assert_raises(ValueError, operator.setitem, view.mask, (), False)
+
+    def test_coercion_int(self):
+        a_i = np.zeros((), int)
+        assert_raises(MaskError, operator.setitem, a_i, (), np.ma.masked)
+        assert_raises(MaskError, int, np.ma.masked)
+
+    def test_coercion_float(self):
+        a_f = np.zeros((), float)
+        assert_warns(UserWarning, operator.setitem, a_f, (), np.ma.masked)
+        assert_(np.isnan(a_f[()]))
+
+    @pytest.mark.xfail(reason="See gh-9750")
+    def test_coercion_unicode(self):
+        a_u = np.zeros((), 'U10')
+        a_u[()] = np.ma.masked
+        assert_equal(a_u[()], '--')
+
+    @pytest.mark.xfail(reason="See gh-9750")
+    def test_coercion_bytes(self):
+        a_b = np.zeros((), 'S10')
+        a_b[()] = np.ma.masked
+        assert_equal(a_b[()], b'--')
+
+    def test_subclass(self):
+        # https://github.com/astropy/astropy/issues/6645
+        class Sub(type(np.ma.masked)):
+            pass
+
+        a = Sub()
+        assert_(a is Sub())
+        assert_(a is not np.ma.masked)
+        assert_not_equal(repr(a), 'masked')
+
+    def test_attributes_readonly(self):
+        assert_raises(AttributeError, setattr, np.ma.masked, 'shape', (1,))
+        assert_raises(AttributeError, setattr, np.ma.masked, 'dtype', np.int64)
+
+
+class TestMaskedWhereAliases:
+
+    # TODO: Test masked_object, masked_equal, ...
+
+    def test_masked_values(self):
+        res = masked_values(np.array([-32768.0]), np.int16(-32768))
+        assert_equal(res.mask, [True])
+
+        res = masked_values(np.inf, np.inf)
+        assert_equal(res.mask, True)
+
+        res = np.ma.masked_values(np.inf, -np.inf)
+        assert_equal(res.mask, False)
+
+        res = np.ma.masked_values([1, 2, 3, 4], 5, shrink=True)
+        assert_(res.mask is np.ma.nomask)
+
+        res = np.ma.masked_values([1, 2, 3, 4], 5, shrink=False)
+        assert_equal(res.mask, [False] * 4)
+
+
+def test_masked_array():
+    a = np.ma.array([0, 1, 2, 3], mask=[0, 0, 1, 0])
+    assert_equal(np.argwhere(a), [[1], [3]])
+
+def test_masked_array_no_copy():
+    # check nomask array is updated in place
+    a = np.ma.array([1, 2, 3, 4])
+    _ = np.ma.masked_where(a == 3, a, copy=False)
+    assert_array_equal(a.mask, [False, False, True, False])
+    # check masked array is updated in place
+    a = np.ma.array([1, 2, 3, 4], mask=[1, 0, 0, 0])
+    _ = np.ma.masked_where(a == 3, a, copy=False)
+    assert_array_equal(a.mask, [True, False, True, False])
+    # check masked array with masked_invalid is updated in place
+    a = np.ma.array([np.inf, 1, 2, 3, 4])
+    _ = np.ma.masked_invalid(a, copy=False)
+    assert_array_equal(a.mask, [True, False, False, False, False])
+
+def test_append_masked_array():
+    a = np.ma.masked_equal([1,2,3], value=2)
+    b = np.ma.masked_equal([4,3,2], value=2)
+
+    result = np.ma.append(a, b)
+    expected_data = [1, 2, 3, 4, 3, 2]
+    expected_mask = [False, True, False, False, False, True]
+    assert_array_equal(result.data, expected_data)
+    assert_array_equal(result.mask, expected_mask)
+
+    a = np.ma.masked_all((2,2))
+    b = np.ma.ones((3,1))
+
+    result = np.ma.append(a, b)
+    expected_data = [1] * 3
+    expected_mask = [True] * 4 + [False] * 3
+    assert_array_equal(result.data[-3], expected_data)
+    assert_array_equal(result.mask, expected_mask)
+
+    result = np.ma.append(a, b, axis=None)
+    assert_array_equal(result.data[-3], expected_data)
+    assert_array_equal(result.mask, expected_mask)
+
+
+def test_append_masked_array_along_axis():
+    a = np.ma.masked_equal([1,2,3], value=2)
+    b = np.ma.masked_values([[4, 5, 6], [7, 8, 9]], 7)
+
+    # When `axis` is specified, `values` must have the correct shape.
+    assert_raises(ValueError, np.ma.append, a, b, axis=0)
+
+    result = np.ma.append(a[np.newaxis,:], b, axis=0)
+    expected = np.ma.arange(1, 10)
+    expected[[1, 6]] = np.ma.masked
+    expected = expected.reshape((3,3))
+    assert_array_equal(result.data, expected.data)
+    assert_array_equal(result.mask, expected.mask)
+
+def test_default_fill_value_complex():
+    # regression test for Python 3, where 'unicode' was not defined
+    assert_(default_fill_value(1 + 1j) == 1.e20 + 0.0j)
+
+
+def test_ufunc_with_output():
+    # check that giving an output argument always returns that output.
+    # Regression test for gh-8416.
+    x = array([1., 2., 3.], mask=[0, 0, 1])
+    y = np.add(x, 1., out=x)
+    assert_(y is x)
+
+
+def test_ufunc_with_out_varied():
+    """ Test that masked arrays are immune to gh-10459 """
+    # the mask of the output should not affect the result, however it is passed
+    a        = array([ 1,  2,  3], mask=[1, 0, 0])
+    b        = array([10, 20, 30], mask=[1, 0, 0])
+    out      = array([ 0,  0,  0], mask=[0, 0, 1])
+    expected = array([11, 22, 33], mask=[1, 0, 0])
+
+    out_pos = out.copy()
+    res_pos = np.add(a, b, out_pos)
+
+    out_kw = out.copy()
+    res_kw = np.add(a, b, out=out_kw)
+
+    out_tup = out.copy()
+    res_tup = np.add(a, b, out=(out_tup,))
+
+    assert_equal(res_kw.mask,  expected.mask)
+    assert_equal(res_kw.data,  expected.data)
+    assert_equal(res_tup.mask, expected.mask)
+    assert_equal(res_tup.data, expected.data)
+    assert_equal(res_pos.mask, expected.mask)
+    assert_equal(res_pos.data, expected.data)
+
+
+def test_astype_mask_ordering():
+    descr = np.dtype([('v', int, 3), ('x', [('y', float)])])
+    x = array([
+        [([1, 2, 3], (1.0,)),  ([1, 2, 3], (2.0,))],
+        [([1, 2, 3], (3.0,)),  ([1, 2, 3], (4.0,))]], dtype=descr)
+    x[0]['v'][0] = np.ma.masked
+
+    x_a = x.astype(descr)
+    assert x_a.dtype.names == np.dtype(descr).names
+    assert x_a.mask.dtype.names == np.dtype(descr).names
+    assert_equal(x, x_a)
+
+    assert_(x is x.astype(x.dtype, copy=False))
+    assert_equal(type(x.astype(x.dtype, subok=False)), np.ndarray)
+
+    x_f = x.astype(x.dtype, order='F')
+    assert_(x_f.flags.f_contiguous)
+    assert_(x_f.mask.flags.f_contiguous)
+
+    # Also test the same indirectly, via np.array
+    x_a2 = np.array(x, dtype=descr, subok=True)
+    assert x_a2.dtype.names == np.dtype(descr).names
+    assert x_a2.mask.dtype.names == np.dtype(descr).names
+    assert_equal(x, x_a2)
+
+    assert_(x is np.array(x, dtype=descr, copy=None, subok=True))
+
+    x_f2 = np.array(x, dtype=x.dtype, order='F', subok=True)
+    assert_(x_f2.flags.f_contiguous)
+    assert_(x_f2.mask.flags.f_contiguous)
+
+
+@pytest.mark.parametrize('dt1', num_dts, ids=num_ids)
+@pytest.mark.parametrize('dt2', num_dts, ids=num_ids)
+@pytest.mark.filterwarnings('ignore::numpy.exceptions.ComplexWarning')
+def test_astype_basic(dt1, dt2):
+    # See gh-12070
+    src = np.ma.array(ones(3, dt1), fill_value=1)
+    dst = src.astype(dt2)
+
+    assert_(src.fill_value == 1)
+    assert_(src.dtype == dt1)
+    assert_(src.fill_value.dtype == dt1)
+
+    assert_(dst.fill_value == 1)
+    assert_(dst.dtype == dt2)
+    assert_(dst.fill_value.dtype == dt2)
+
+    assert_equal(src, dst)
+
+
+def test_fieldless_void():
+    dt = np.dtype([])  # a void dtype with no fields
+    x = np.empty(4, dt)
+
+    # these arrays contain no values, so there's little to test - but this
+    # shouldn't crash
+    mx = np.ma.array(x)
+    assert_equal(mx.dtype, x.dtype)
+    assert_equal(mx.shape, x.shape)
+
+    mx = np.ma.array(x, mask=x)
+    assert_equal(mx.dtype, x.dtype)
+    assert_equal(mx.shape, x.shape)
+
+
+def test_mask_shape_assignment_does_not_break_masked():
+    a = np.ma.masked
+    b = np.ma.array(1, mask=a.mask)
+    b.shape = (1,)
+    assert_equal(a.mask.shape, ())
+
+@pytest.mark.skipif(sys.flags.optimize > 1,
+                    reason="no docstrings present to inspect when PYTHONOPTIMIZE/Py_OptimizeFlag > 1")
+def test_doc_note():
+    def method(self):
+        """This docstring
+
+        Has multiple lines
+
+        And notes
+
+        Notes
+        -----
+        original note
+        """
+        pass
+
+    expected_doc = """This docstring
+
+Has multiple lines
+
+And notes
+
+Notes
+-----
+note
+
+original note"""
+
+    assert_equal(np.ma.core.doc_note(method.__doc__, "note"), expected_doc)
+
+
+def test_gh_22556():
+    source = np.ma.array([0, [0, 1, 2]], dtype=object)
+    deepcopy = copy.deepcopy(source)
+    deepcopy[1].append('this should not appear in source')
+    assert len(source[1]) == 3
+
+
+def test_gh_21022():
+    # testing for absence of reported error
+    source = np.ma.masked_array(data=[-1, -1], mask=True, dtype=np.float64)
+    axis = np.array(0)
+    result = np.prod(source, axis=axis, keepdims=False)
+    result = np.ma.masked_array(result,
+                                mask=np.ones(result.shape, dtype=np.bool))
+    array = np.ma.masked_array(data=-1, mask=True, dtype=np.float64)
+    copy.deepcopy(array)
+    copy.deepcopy(result)
+
+
+def test_deepcopy_2d_obj():
+    source = np.ma.array([[0, "dog"],
+                          [1, 1],
+                          [[1, 2], "cat"]],
+                        mask=[[0, 1],
+                              [0, 0],
+                              [0, 0]],
+                        dtype=object)
+    deepcopy = copy.deepcopy(source)
+    deepcopy[2, 0].extend(['this should not appear in source', 3])
+    assert len(source[2, 0]) == 2
+    assert len(deepcopy[2, 0]) == 4
+    assert_equal(deepcopy._mask, source._mask)
+    deepcopy._mask[0, 0] = 1
+    assert source._mask[0, 0] == 0
+
+
+def test_deepcopy_0d_obj():
+    source = np.ma.array(0, mask=[0], dtype=object)
+    deepcopy = copy.deepcopy(source)
+    deepcopy[...] = 17
+    assert_equal(source, 0)
+    assert_equal(deepcopy, 17)
+
+
+def test_uint_fill_value_and_filled():
+    # See also gh-27269
+    a = np.ma.MaskedArray([1, 1], [True, False], dtype="uint16")
+    # the fill value should likely not be 99999, but for now guarantee it:
+    assert a.fill_value == 999999
+    # However, it's type is uint:
+    assert a.fill_value.dtype.kind == "u"
+    # And this ensures things like filled work:
+    np.testing.assert_array_equal(
+        a.filled(), np.array([999999, 1]).astype("uint16"), strict=True)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_deprecations.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_deprecations.py
new file mode 100644
index 0000000000000000000000000000000000000000..40c8418f5c1809130672dca46e8c43469692da09
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_deprecations.py
@@ -0,0 +1,84 @@
+"""Test deprecation and future warnings.
+
+"""
+import pytest
+import numpy as np
+from numpy.testing import assert_warns
+from numpy.ma.testutils import assert_equal
+from numpy.ma.core import MaskedArrayFutureWarning
+import io
+import textwrap
+
+class TestArgsort:
+    """ gh-8701 """
+    def _test_base(self, argsort, cls):
+        arr_0d = np.array(1).view(cls)
+        argsort(arr_0d)
+
+        arr_1d = np.array([1, 2, 3]).view(cls)
+        argsort(arr_1d)
+
+        # argsort has a bad default for >1d arrays
+        arr_2d = np.array([[1, 2], [3, 4]]).view(cls)
+        result = assert_warns(
+            np.ma.core.MaskedArrayFutureWarning, argsort, arr_2d)
+        assert_equal(result, argsort(arr_2d, axis=None))
+
+        # should be no warnings for explicitly specifying it
+        argsort(arr_2d, axis=None)
+        argsort(arr_2d, axis=-1)
+
+    def test_function_ndarray(self):
+        return self._test_base(np.ma.argsort, np.ndarray)
+
+    def test_function_maskedarray(self):
+        return self._test_base(np.ma.argsort, np.ma.MaskedArray)
+
+    def test_method(self):
+        return self._test_base(np.ma.MaskedArray.argsort, np.ma.MaskedArray)
+
+
+class TestMinimumMaximum:
+
+    def test_axis_default(self):
+        # NumPy 1.13, 2017-05-06
+
+        data1d = np.ma.arange(6)
+        data2d = data1d.reshape(2, 3)
+
+        ma_min = np.ma.minimum.reduce
+        ma_max = np.ma.maximum.reduce
+
+        # check that the default axis is still None, but warns on 2d arrays
+        result = assert_warns(MaskedArrayFutureWarning, ma_max, data2d)
+        assert_equal(result, ma_max(data2d, axis=None))
+
+        result = assert_warns(MaskedArrayFutureWarning, ma_min, data2d)
+        assert_equal(result, ma_min(data2d, axis=None))
+
+        # no warnings on 1d, as both new and old defaults are equivalent
+        result = ma_min(data1d)
+        assert_equal(result, ma_min(data1d, axis=None))
+        assert_equal(result, ma_min(data1d, axis=0))
+
+        result = ma_max(data1d)
+        assert_equal(result, ma_max(data1d, axis=None))
+        assert_equal(result, ma_max(data1d, axis=0))
+
+
+class TestFromtextfile:
+    def test_fromtextfile_delimitor(self):
+        # NumPy 1.22.0, 2021-09-23
+
+        textfile = io.StringIO(textwrap.dedent(
+            """
+            A,B,C,D
+            'string 1';1;1.0;'mixed column'
+            'string 2';2;2.0;
+            'string 3';3;3.0;123
+            'string 4';4;4.0;3.14
+            """
+        ))
+
+        with pytest.warns(DeprecationWarning):
+            result = np.ma.mrecords.fromtextfile(textfile, delimitor=';')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_extras.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_extras.py
new file mode 100644
index 0000000000000000000000000000000000000000..daf376b766d5bb98b3c7602bf2afc37b07e2f5a0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_extras.py
@@ -0,0 +1,1960 @@
+# pylint: disable-msg=W0611, W0612, W0511
+"""Tests suite for MaskedArray.
+Adapted from the original test_ma by Pierre Gerard-Marchant
+
+:author: Pierre Gerard-Marchant
+:contact: pierregm_at_uga_dot_edu
+:version: $Id: test_extras.py 3473 2007-10-29 15:18:13Z jarrod.millman $
+
+"""
+import warnings
+import itertools
+import pytest
+
+import numpy as np
+from numpy._core.numeric import normalize_axis_tuple
+from numpy.testing import (
+    assert_warns, suppress_warnings
+    )
+from numpy.ma.testutils import (
+    assert_, assert_array_equal, assert_equal, assert_almost_equal
+    )
+from numpy.ma.core import (
+    array, arange, masked, MaskedArray, masked_array, getmaskarray, shape,
+    nomask, ones, zeros, count
+    )
+from numpy.ma.extras import (
+    atleast_1d, atleast_2d, atleast_3d, mr_, dot, polyfit, cov, corrcoef,
+    median, average, unique, setxor1d, setdiff1d, union1d, intersect1d, in1d,
+    ediff1d, apply_over_axes, apply_along_axis, compress_nd, compress_rowcols,
+    mask_rowcols, clump_masked, clump_unmasked, flatnotmasked_contiguous,
+    notmasked_contiguous, notmasked_edges, masked_all, masked_all_like, isin,
+    diagflat, ndenumerate, stack, vstack, _covhelper
+    )
+
+
+class TestGeneric:
+    #
+    def test_masked_all(self):
+        # Tests masked_all
+        # Standard dtype
+        test = masked_all((2,), dtype=float)
+        control = array([1, 1], mask=[1, 1], dtype=float)
+        assert_equal(test, control)
+        # Flexible dtype
+        dt = np.dtype({'names': ['a', 'b'], 'formats': ['f', 'f']})
+        test = masked_all((2,), dtype=dt)
+        control = array([(0, 0), (0, 0)], mask=[(1, 1), (1, 1)], dtype=dt)
+        assert_equal(test, control)
+        test = masked_all((2, 2), dtype=dt)
+        control = array([[(0, 0), (0, 0)], [(0, 0), (0, 0)]],
+                        mask=[[(1, 1), (1, 1)], [(1, 1), (1, 1)]],
+                        dtype=dt)
+        assert_equal(test, control)
+        # Nested dtype
+        dt = np.dtype([('a', 'f'), ('b', [('ba', 'f'), ('bb', 'f')])])
+        test = masked_all((2,), dtype=dt)
+        control = array([(1, (1, 1)), (1, (1, 1))],
+                        mask=[(1, (1, 1)), (1, (1, 1))], dtype=dt)
+        assert_equal(test, control)
+        test = masked_all((2,), dtype=dt)
+        control = array([(1, (1, 1)), (1, (1, 1))],
+                        mask=[(1, (1, 1)), (1, (1, 1))], dtype=dt)
+        assert_equal(test, control)
+        test = masked_all((1, 1), dtype=dt)
+        control = array([[(1, (1, 1))]], mask=[[(1, (1, 1))]], dtype=dt)
+        assert_equal(test, control)
+
+    def test_masked_all_with_object_nested(self):
+        # Test masked_all works with nested array with dtype of an 'object'
+        # refers to issue #15895
+        my_dtype = np.dtype([('b', ([('c', object)], (1,)))])
+        masked_arr = np.ma.masked_all((1,), my_dtype)
+
+        assert_equal(type(masked_arr['b']), np.ma.core.MaskedArray)
+        assert_equal(type(masked_arr['b']['c']), np.ma.core.MaskedArray)
+        assert_equal(len(masked_arr['b']['c']), 1)
+        assert_equal(masked_arr['b']['c'].shape, (1, 1))
+        assert_equal(masked_arr['b']['c']._fill_value.shape, ())
+
+    def test_masked_all_with_object(self):
+        # same as above except that the array is not nested
+        my_dtype = np.dtype([('b', (object, (1,)))])
+        masked_arr = np.ma.masked_all((1,), my_dtype)
+
+        assert_equal(type(masked_arr['b']), np.ma.core.MaskedArray)
+        assert_equal(len(masked_arr['b']), 1)
+        assert_equal(masked_arr['b'].shape, (1, 1))
+        assert_equal(masked_arr['b']._fill_value.shape, ())
+
+    def test_masked_all_like(self):
+        # Tests masked_all
+        # Standard dtype
+        base = array([1, 2], dtype=float)
+        test = masked_all_like(base)
+        control = array([1, 1], mask=[1, 1], dtype=float)
+        assert_equal(test, control)
+        # Flexible dtype
+        dt = np.dtype({'names': ['a', 'b'], 'formats': ['f', 'f']})
+        base = array([(0, 0), (0, 0)], mask=[(1, 1), (1, 1)], dtype=dt)
+        test = masked_all_like(base)
+        control = array([(10, 10), (10, 10)], mask=[(1, 1), (1, 1)], dtype=dt)
+        assert_equal(test, control)
+        # Nested dtype
+        dt = np.dtype([('a', 'f'), ('b', [('ba', 'f'), ('bb', 'f')])])
+        control = array([(1, (1, 1)), (1, (1, 1))],
+                        mask=[(1, (1, 1)), (1, (1, 1))], dtype=dt)
+        test = masked_all_like(control)
+        assert_equal(test, control)
+
+    def check_clump(self, f):
+        for i in range(1, 7):
+            for j in range(2**i):
+                k = np.arange(i, dtype=int)
+                ja = np.full(i, j, dtype=int)
+                a = masked_array(2**k)
+                a.mask = (ja & (2**k)) != 0
+                s = 0
+                for sl in f(a):
+                    s += a.data[sl].sum()
+                if f == clump_unmasked:
+                    assert_equal(a.compressed().sum(), s)
+                else:
+                    a.mask = ~a.mask
+                    assert_equal(a.compressed().sum(), s)
+
+    def test_clump_masked(self):
+        # Test clump_masked
+        a = masked_array(np.arange(10))
+        a[[0, 1, 2, 6, 8, 9]] = masked
+        #
+        test = clump_masked(a)
+        control = [slice(0, 3), slice(6, 7), slice(8, 10)]
+        assert_equal(test, control)
+
+        self.check_clump(clump_masked)
+
+    def test_clump_unmasked(self):
+        # Test clump_unmasked
+        a = masked_array(np.arange(10))
+        a[[0, 1, 2, 6, 8, 9]] = masked
+        test = clump_unmasked(a)
+        control = [slice(3, 6), slice(7, 8), ]
+        assert_equal(test, control)
+
+        self.check_clump(clump_unmasked)
+
+    def test_flatnotmasked_contiguous(self):
+        # Test flatnotmasked_contiguous
+        a = arange(10)
+        # No mask
+        test = flatnotmasked_contiguous(a)
+        assert_equal(test, [slice(0, a.size)])
+        # mask of all false
+        a.mask = np.zeros(10, dtype=bool)
+        assert_equal(test, [slice(0, a.size)])
+        # Some mask
+        a[(a < 3) | (a > 8) | (a == 5)] = masked
+        test = flatnotmasked_contiguous(a)
+        assert_equal(test, [slice(3, 5), slice(6, 9)])
+        #
+        a[:] = masked
+        test = flatnotmasked_contiguous(a)
+        assert_equal(test, [])
+
+
+class TestAverage:
+    # Several tests of average. Why so many ? Good point...
+    def test_testAverage1(self):
+        # Test of average.
+        ott = array([0., 1., 2., 3.], mask=[True, False, False, False])
+        assert_equal(2.0, average(ott, axis=0))
+        assert_equal(2.0, average(ott, weights=[1., 1., 2., 1.]))
+        result, wts = average(ott, weights=[1., 1., 2., 1.], returned=True)
+        assert_equal(2.0, result)
+        assert_(wts == 4.0)
+        ott[:] = masked
+        assert_equal(average(ott, axis=0).mask, [True])
+        ott = array([0., 1., 2., 3.], mask=[True, False, False, False])
+        ott = ott.reshape(2, 2)
+        ott[:, 1] = masked
+        assert_equal(average(ott, axis=0), [2.0, 0.0])
+        assert_equal(average(ott, axis=1).mask[0], [True])
+        assert_equal([2., 0.], average(ott, axis=0))
+        result, wts = average(ott, axis=0, returned=True)
+        assert_equal(wts, [1., 0.])
+
+    def test_testAverage2(self):
+        # More tests of average.
+        w1 = [0, 1, 1, 1, 1, 0]
+        w2 = [[0, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1]]
+        x = arange(6, dtype=np.float64)
+        assert_equal(average(x, axis=0), 2.5)
+        assert_equal(average(x, axis=0, weights=w1), 2.5)
+        y = array([arange(6, dtype=np.float64), 2.0 * arange(6)])
+        assert_equal(average(y, None), np.add.reduce(np.arange(6)) * 3. / 12.)
+        assert_equal(average(y, axis=0), np.arange(6) * 3. / 2.)
+        assert_equal(average(y, axis=1),
+                     [average(x, axis=0), average(x, axis=0) * 2.0])
+        assert_equal(average(y, None, weights=w2), 20. / 6.)
+        assert_equal(average(y, axis=0, weights=w2),
+                     [0., 1., 2., 3., 4., 10.])
+        assert_equal(average(y, axis=1),
+                     [average(x, axis=0), average(x, axis=0) * 2.0])
+        m1 = zeros(6)
+        m2 = [0, 0, 1, 1, 0, 0]
+        m3 = [[0, 0, 1, 1, 0, 0], [0, 1, 1, 1, 1, 0]]
+        m4 = ones(6)
+        m5 = [0, 1, 1, 1, 1, 1]
+        assert_equal(average(masked_array(x, m1), axis=0), 2.5)
+        assert_equal(average(masked_array(x, m2), axis=0), 2.5)
+        assert_equal(average(masked_array(x, m4), axis=0).mask, [True])
+        assert_equal(average(masked_array(x, m5), axis=0), 0.0)
+        assert_equal(count(average(masked_array(x, m4), axis=0)), 0)
+        z = masked_array(y, m3)
+        assert_equal(average(z, None), 20. / 6.)
+        assert_equal(average(z, axis=0), [0., 1., 99., 99., 4.0, 7.5])
+        assert_equal(average(z, axis=1), [2.5, 5.0])
+        assert_equal(average(z, axis=0, weights=w2),
+                     [0., 1., 99., 99., 4.0, 10.0])
+
+    def test_testAverage3(self):
+        # Yet more tests of average!
+        a = arange(6)
+        b = arange(6) * 3
+        r1, w1 = average([[a, b], [b, a]], axis=1, returned=True)
+        assert_equal(shape(r1), shape(w1))
+        assert_equal(r1.shape, w1.shape)
+        r2, w2 = average(ones((2, 2, 3)), axis=0, weights=[3, 1], returned=True)
+        assert_equal(shape(w2), shape(r2))
+        r2, w2 = average(ones((2, 2, 3)), returned=True)
+        assert_equal(shape(w2), shape(r2))
+        r2, w2 = average(ones((2, 2, 3)), weights=ones((2, 2, 3)), returned=True)
+        assert_equal(shape(w2), shape(r2))
+        a2d = array([[1, 2], [0, 4]], float)
+        a2dm = masked_array(a2d, [[False, False], [True, False]])
+        a2da = average(a2d, axis=0)
+        assert_equal(a2da, [0.5, 3.0])
+        a2dma = average(a2dm, axis=0)
+        assert_equal(a2dma, [1.0, 3.0])
+        a2dma = average(a2dm, axis=None)
+        assert_equal(a2dma, 7. / 3.)
+        a2dma = average(a2dm, axis=1)
+        assert_equal(a2dma, [1.5, 4.0])
+
+    def test_testAverage4(self):
+        # Test that `keepdims` works with average
+        x = np.array([2, 3, 4]).reshape(3, 1)
+        b = np.ma.array(x, mask=[[False], [False], [True]])
+        w = np.array([4, 5, 6]).reshape(3, 1)
+        actual = average(b, weights=w, axis=1, keepdims=True)
+        desired = masked_array([[2.], [3.], [4.]], [[False], [False], [True]])
+        assert_equal(actual, desired)
+
+    def test_weight_and_input_dims_different(self):
+        # this test mirrors a test for np.average()
+        # in lib/test/test_function_base.py
+        y = np.arange(12).reshape(2, 2, 3)
+        w = np.array([0., 0., 1., .5, .5, 0., 0., .5, .5, 1., 0., 0.])\
+            .reshape(2, 2, 3)
+
+        m = np.full((2, 2, 3), False)
+        yma = np.ma.array(y, mask=m)
+        subw0 = w[:, :, 0]
+
+        actual = average(yma, axis=(0, 1), weights=subw0)
+        desired = masked_array([7., 8., 9.], mask=[False, False, False])
+        assert_almost_equal(actual, desired)
+
+        m = np.full((2, 2, 3), False)
+        m[:, :, 0] = True
+        m[0, 0, 1] = True
+        yma = np.ma.array(y, mask=m)
+        actual = average(yma, axis=(0, 1), weights=subw0)
+        desired = masked_array(
+            [np.nan, 8., 9.],
+            mask=[True, False, False])
+        assert_almost_equal(actual, desired)
+
+        m = np.full((2, 2, 3), False)
+        yma = np.ma.array(y, mask=m)
+
+        subw1 = w[1, :, :]
+        actual = average(yma, axis=(1, 2), weights=subw1)
+        desired = masked_array([2.25, 8.25], mask=[False, False])
+        assert_almost_equal(actual, desired)
+
+        # here the weights have the wrong shape for the specified axes
+        with pytest.raises(
+                ValueError,
+                match="Shape of weights must be consistent with "
+                      "shape of a along specified axis"):
+            average(yma, axis=(0, 1, 2), weights=subw0)
+
+        with pytest.raises(
+                ValueError,
+                match="Shape of weights must be consistent with "
+                      "shape of a along specified axis"):
+            average(yma, axis=(0, 1), weights=subw1)
+
+        # swapping the axes should be same as transposing weights
+        actual = average(yma, axis=(1, 0), weights=subw0)
+        desired = average(yma, axis=(0, 1), weights=subw0.T)
+        assert_almost_equal(actual, desired)
+
+    def test_onintegers_with_mask(self):
+        # Test average on integers with mask
+        a = average(array([1, 2]))
+        assert_equal(a, 1.5)
+        a = average(array([1, 2, 3, 4], mask=[False, False, True, True]))
+        assert_equal(a, 1.5)
+
+    def test_complex(self):
+        # Test with complex data.
+        # (Regression test for https://github.com/numpy/numpy/issues/2684)
+        mask = np.array([[0, 0, 0, 1, 0],
+                         [0, 1, 0, 0, 0]], dtype=bool)
+        a = masked_array([[0, 1+2j, 3+4j, 5+6j, 7+8j],
+                          [9j, 0+1j, 2+3j, 4+5j, 7+7j]],
+                         mask=mask)
+
+        av = average(a)
+        expected = np.average(a.compressed())
+        assert_almost_equal(av.real, expected.real)
+        assert_almost_equal(av.imag, expected.imag)
+
+        av0 = average(a, axis=0)
+        expected0 = average(a.real, axis=0) + average(a.imag, axis=0)*1j
+        assert_almost_equal(av0.real, expected0.real)
+        assert_almost_equal(av0.imag, expected0.imag)
+
+        av1 = average(a, axis=1)
+        expected1 = average(a.real, axis=1) + average(a.imag, axis=1)*1j
+        assert_almost_equal(av1.real, expected1.real)
+        assert_almost_equal(av1.imag, expected1.imag)
+
+        # Test with the 'weights' argument.
+        wts = np.array([[0.5, 1.0, 2.0, 1.0, 0.5],
+                        [1.0, 1.0, 1.0, 1.0, 1.0]])
+        wav = average(a, weights=wts)
+        expected = np.average(a.compressed(), weights=wts[~mask])
+        assert_almost_equal(wav.real, expected.real)
+        assert_almost_equal(wav.imag, expected.imag)
+
+        wav0 = average(a, weights=wts, axis=0)
+        expected0 = (average(a.real, weights=wts, axis=0) +
+                     average(a.imag, weights=wts, axis=0)*1j)
+        assert_almost_equal(wav0.real, expected0.real)
+        assert_almost_equal(wav0.imag, expected0.imag)
+
+        wav1 = average(a, weights=wts, axis=1)
+        expected1 = (average(a.real, weights=wts, axis=1) +
+                     average(a.imag, weights=wts, axis=1)*1j)
+        assert_almost_equal(wav1.real, expected1.real)
+        assert_almost_equal(wav1.imag, expected1.imag)
+
+    @pytest.mark.parametrize(
+        'x, axis, expected_avg, weights, expected_wavg, expected_wsum',
+        [([1, 2, 3], None, [2.0], [3, 4, 1], [1.75], [8.0]),
+         ([[1, 2, 5], [1, 6, 11]], 0, [[1.0, 4.0, 8.0]],
+          [1, 3], [[1.0, 5.0, 9.5]], [[4, 4, 4]])],
+    )
+    def test_basic_keepdims(self, x, axis, expected_avg,
+                            weights, expected_wavg, expected_wsum):
+        avg = np.ma.average(x, axis=axis, keepdims=True)
+        assert avg.shape == np.shape(expected_avg)
+        assert_array_equal(avg, expected_avg)
+
+        wavg = np.ma.average(x, axis=axis, weights=weights, keepdims=True)
+        assert wavg.shape == np.shape(expected_wavg)
+        assert_array_equal(wavg, expected_wavg)
+
+        wavg, wsum = np.ma.average(x, axis=axis, weights=weights,
+                                   returned=True, keepdims=True)
+        assert wavg.shape == np.shape(expected_wavg)
+        assert_array_equal(wavg, expected_wavg)
+        assert wsum.shape == np.shape(expected_wsum)
+        assert_array_equal(wsum, expected_wsum)
+
+    def test_masked_weights(self):
+        # Test with masked weights.
+        # (Regression test for https://github.com/numpy/numpy/issues/10438)
+        a = np.ma.array(np.arange(9).reshape(3, 3),
+                        mask=[[1, 0, 0], [1, 0, 0], [0, 0, 0]])
+        weights_unmasked = masked_array([5, 28, 31], mask=False)
+        weights_masked = masked_array([5, 28, 31], mask=[1, 0, 0])
+
+        avg_unmasked = average(a, axis=0,
+                               weights=weights_unmasked, returned=False)
+        expected_unmasked = np.array([6.0, 5.21875, 6.21875])
+        assert_almost_equal(avg_unmasked, expected_unmasked)
+
+        avg_masked = average(a, axis=0, weights=weights_masked, returned=False)
+        expected_masked = np.array([6.0, 5.576271186440678, 6.576271186440678])
+        assert_almost_equal(avg_masked, expected_masked)
+
+        # weights should be masked if needed
+        # depending on the array mask. This is to avoid summing
+        # masked nan or other values that are not cancelled by a zero
+        a = np.ma.array([1.0,   2.0,   3.0,  4.0],
+                   mask=[False, False, True, True])
+        avg_unmasked = average(a, weights=[1, 1, 1, np.nan])
+
+        assert_almost_equal(avg_unmasked, 1.5)
+
+        a = np.ma.array([
+            [1.0, 2.0, 3.0, 4.0],
+            [5.0, 6.0, 7.0, 8.0],
+            [9.0, 1.0, 2.0, 3.0],
+        ], mask=[
+            [False, True, True, False],
+            [True, False, True, True],
+            [True, False, True, False],
+        ])
+
+        avg_masked = np.ma.average(a, weights=[1, np.nan, 1], axis=0)
+        avg_expected = np.ma.array([1.0, np.nan, np.nan, 3.5],
+                              mask=[False, True, True, False])
+
+        assert_almost_equal(avg_masked, avg_expected)
+        assert_equal(avg_masked.mask, avg_expected.mask)
+
+
+class TestConcatenator:
+    # Tests for mr_, the equivalent of r_ for masked arrays.
+
+    def test_1d(self):
+        # Tests mr_ on 1D arrays.
+        assert_array_equal(mr_[1, 2, 3, 4, 5, 6], array([1, 2, 3, 4, 5, 6]))
+        b = ones(5)
+        m = [1, 0, 0, 0, 0]
+        d = masked_array(b, mask=m)
+        c = mr_[d, 0, 0, d]
+        assert_(isinstance(c, MaskedArray))
+        assert_array_equal(c, [1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1])
+        assert_array_equal(c.mask, mr_[m, 0, 0, m])
+
+    def test_2d(self):
+        # Tests mr_ on 2D arrays.
+        a_1 = np.random.rand(5, 5)
+        a_2 = np.random.rand(5, 5)
+        m_1 = np.round(np.random.rand(5, 5), 0)
+        m_2 = np.round(np.random.rand(5, 5), 0)
+        b_1 = masked_array(a_1, mask=m_1)
+        b_2 = masked_array(a_2, mask=m_2)
+        # append columns
+        d = mr_['1', b_1, b_2]
+        assert_(d.shape == (5, 10))
+        assert_array_equal(d[:, :5], b_1)
+        assert_array_equal(d[:, 5:], b_2)
+        assert_array_equal(d.mask, np.r_['1', m_1, m_2])
+        d = mr_[b_1, b_2]
+        assert_(d.shape == (10, 5))
+        assert_array_equal(d[:5,:], b_1)
+        assert_array_equal(d[5:,:], b_2)
+        assert_array_equal(d.mask, np.r_[m_1, m_2])
+
+    def test_masked_constant(self):
+        actual = mr_[np.ma.masked, 1]
+        assert_equal(actual.mask, [True, False])
+        assert_equal(actual.data[1], 1)
+
+        actual = mr_[[1, 2], np.ma.masked]
+        assert_equal(actual.mask, [False, False, True])
+        assert_equal(actual.data[:2], [1, 2])
+
+
+class TestNotMasked:
+    # Tests notmasked_edges and notmasked_contiguous.
+
+    def test_edges(self):
+        # Tests unmasked_edges
+        data = masked_array(np.arange(25).reshape(5, 5),
+                            mask=[[0, 0, 1, 0, 0],
+                                  [0, 0, 0, 1, 1],
+                                  [1, 1, 0, 0, 0],
+                                  [0, 0, 0, 0, 0],
+                                  [1, 1, 1, 0, 0]],)
+        test = notmasked_edges(data, None)
+        assert_equal(test, [0, 24])
+        test = notmasked_edges(data, 0)
+        assert_equal(test[0], [(0, 0, 1, 0, 0), (0, 1, 2, 3, 4)])
+        assert_equal(test[1], [(3, 3, 3, 4, 4), (0, 1, 2, 3, 4)])
+        test = notmasked_edges(data, 1)
+        assert_equal(test[0], [(0, 1, 2, 3, 4), (0, 0, 2, 0, 3)])
+        assert_equal(test[1], [(0, 1, 2, 3, 4), (4, 2, 4, 4, 4)])
+        #
+        test = notmasked_edges(data.data, None)
+        assert_equal(test, [0, 24])
+        test = notmasked_edges(data.data, 0)
+        assert_equal(test[0], [(0, 0, 0, 0, 0), (0, 1, 2, 3, 4)])
+        assert_equal(test[1], [(4, 4, 4, 4, 4), (0, 1, 2, 3, 4)])
+        test = notmasked_edges(data.data, -1)
+        assert_equal(test[0], [(0, 1, 2, 3, 4), (0, 0, 0, 0, 0)])
+        assert_equal(test[1], [(0, 1, 2, 3, 4), (4, 4, 4, 4, 4)])
+        #
+        data[-2] = masked
+        test = notmasked_edges(data, 0)
+        assert_equal(test[0], [(0, 0, 1, 0, 0), (0, 1, 2, 3, 4)])
+        assert_equal(test[1], [(1, 1, 2, 4, 4), (0, 1, 2, 3, 4)])
+        test = notmasked_edges(data, -1)
+        assert_equal(test[0], [(0, 1, 2, 4), (0, 0, 2, 3)])
+        assert_equal(test[1], [(0, 1, 2, 4), (4, 2, 4, 4)])
+
+    def test_contiguous(self):
+        # Tests notmasked_contiguous
+        a = masked_array(np.arange(24).reshape(3, 8),
+                         mask=[[0, 0, 0, 0, 1, 1, 1, 1],
+                               [1, 1, 1, 1, 1, 1, 1, 1],
+                               [0, 0, 0, 0, 0, 0, 1, 0]])
+        tmp = notmasked_contiguous(a, None)
+        assert_equal(tmp, [
+            slice(0, 4, None),
+            slice(16, 22, None),
+            slice(23, 24, None)
+        ])
+
+        tmp = notmasked_contiguous(a, 0)
+        assert_equal(tmp, [
+            [slice(0, 1, None), slice(2, 3, None)],
+            [slice(0, 1, None), slice(2, 3, None)],
+            [slice(0, 1, None), slice(2, 3, None)],
+            [slice(0, 1, None), slice(2, 3, None)],
+            [slice(2, 3, None)],
+            [slice(2, 3, None)],
+            [],
+            [slice(2, 3, None)]
+        ])
+        #
+        tmp = notmasked_contiguous(a, 1)
+        assert_equal(tmp, [
+            [slice(0, 4, None)],
+            [],
+            [slice(0, 6, None), slice(7, 8, None)]
+        ])
+
+
+class TestCompressFunctions:
+
+    def test_compress_nd(self):
+        # Tests compress_nd
+        x = np.array(list(range(3*4*5))).reshape(3, 4, 5)
+        m = np.zeros((3,4,5)).astype(bool)
+        m[1,1,1] = True
+        x = array(x, mask=m)
+
+        # axis=None
+        a = compress_nd(x)
+        assert_equal(a, [[[ 0,  2,  3,  4],
+                          [10, 12, 13, 14],
+                          [15, 17, 18, 19]],
+                         [[40, 42, 43, 44],
+                          [50, 52, 53, 54],
+                          [55, 57, 58, 59]]])
+
+        # axis=0
+        a = compress_nd(x, 0)
+        assert_equal(a, [[[ 0,  1,  2,  3,  4],
+                          [ 5,  6,  7,  8,  9],
+                          [10, 11, 12, 13, 14],
+                          [15, 16, 17, 18, 19]],
+                         [[40, 41, 42, 43, 44],
+                          [45, 46, 47, 48, 49],
+                          [50, 51, 52, 53, 54],
+                          [55, 56, 57, 58, 59]]])
+
+        # axis=1
+        a = compress_nd(x, 1)
+        assert_equal(a, [[[ 0,  1,  2,  3,  4],
+                          [10, 11, 12, 13, 14],
+                          [15, 16, 17, 18, 19]],
+                         [[20, 21, 22, 23, 24],
+                          [30, 31, 32, 33, 34],
+                          [35, 36, 37, 38, 39]],
+                         [[40, 41, 42, 43, 44],
+                          [50, 51, 52, 53, 54],
+                          [55, 56, 57, 58, 59]]])
+
+        a2 = compress_nd(x, (1,))
+        a3 = compress_nd(x, -2)
+        a4 = compress_nd(x, (-2,))
+        assert_equal(a, a2)
+        assert_equal(a, a3)
+        assert_equal(a, a4)
+
+        # axis=2
+        a = compress_nd(x, 2)
+        assert_equal(a, [[[ 0, 2,  3,  4],
+                          [ 5, 7,  8,  9],
+                          [10, 12, 13, 14],
+                          [15, 17, 18, 19]],
+                         [[20, 22, 23, 24],
+                          [25, 27, 28, 29],
+                          [30, 32, 33, 34],
+                          [35, 37, 38, 39]],
+                         [[40, 42, 43, 44],
+                          [45, 47, 48, 49],
+                          [50, 52, 53, 54],
+                          [55, 57, 58, 59]]])
+
+        a2 = compress_nd(x, (2,))
+        a3 = compress_nd(x, -1)
+        a4 = compress_nd(x, (-1,))
+        assert_equal(a, a2)
+        assert_equal(a, a3)
+        assert_equal(a, a4)
+
+        # axis=(0, 1)
+        a = compress_nd(x, (0, 1))
+        assert_equal(a, [[[ 0,  1,  2,  3,  4],
+                          [10, 11, 12, 13, 14],
+                          [15, 16, 17, 18, 19]],
+                         [[40, 41, 42, 43, 44],
+                          [50, 51, 52, 53, 54],
+                          [55, 56, 57, 58, 59]]])
+        a2 = compress_nd(x, (0, -2))
+        assert_equal(a, a2)
+
+        # axis=(1, 2)
+        a = compress_nd(x, (1, 2))
+        assert_equal(a, [[[ 0,  2,  3,  4],
+                          [10, 12, 13, 14],
+                          [15, 17, 18, 19]],
+                         [[20, 22, 23, 24],
+                          [30, 32, 33, 34],
+                          [35, 37, 38, 39]],
+                         [[40, 42, 43, 44],
+                          [50, 52, 53, 54],
+                          [55, 57, 58, 59]]])
+
+        a2 = compress_nd(x, (-2, 2))
+        a3 = compress_nd(x, (1, -1))
+        a4 = compress_nd(x, (-2, -1))
+        assert_equal(a, a2)
+        assert_equal(a, a3)
+        assert_equal(a, a4)
+
+        # axis=(0, 2)
+        a = compress_nd(x, (0, 2))
+        assert_equal(a, [[[ 0,  2,  3,  4],
+                          [ 5,  7,  8,  9],
+                          [10, 12, 13, 14],
+                          [15, 17, 18, 19]],
+                         [[40, 42, 43, 44],
+                          [45, 47, 48, 49],
+                          [50, 52, 53, 54],
+                          [55, 57, 58, 59]]])
+
+        a2 = compress_nd(x, (0, -1))
+        assert_equal(a, a2)
+
+    def test_compress_rowcols(self):
+        # Tests compress_rowcols
+        x = array(np.arange(9).reshape(3, 3),
+                  mask=[[1, 0, 0], [0, 0, 0], [0, 0, 0]])
+        assert_equal(compress_rowcols(x), [[4, 5], [7, 8]])
+        assert_equal(compress_rowcols(x, 0), [[3, 4, 5], [6, 7, 8]])
+        assert_equal(compress_rowcols(x, 1), [[1, 2], [4, 5], [7, 8]])
+        x = array(x._data, mask=[[0, 0, 0], [0, 1, 0], [0, 0, 0]])
+        assert_equal(compress_rowcols(x), [[0, 2], [6, 8]])
+        assert_equal(compress_rowcols(x, 0), [[0, 1, 2], [6, 7, 8]])
+        assert_equal(compress_rowcols(x, 1), [[0, 2], [3, 5], [6, 8]])
+        x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 0]])
+        assert_equal(compress_rowcols(x), [[8]])
+        assert_equal(compress_rowcols(x, 0), [[6, 7, 8]])
+        assert_equal(compress_rowcols(x, 1,), [[2], [5], [8]])
+        x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 1]])
+        assert_equal(compress_rowcols(x).size, 0)
+        assert_equal(compress_rowcols(x, 0).size, 0)
+        assert_equal(compress_rowcols(x, 1).size, 0)
+
+    def test_mask_rowcols(self):
+        # Tests mask_rowcols.
+        x = array(np.arange(9).reshape(3, 3),
+                  mask=[[1, 0, 0], [0, 0, 0], [0, 0, 0]])
+        assert_equal(mask_rowcols(x).mask,
+                     [[1, 1, 1], [1, 0, 0], [1, 0, 0]])
+        assert_equal(mask_rowcols(x, 0).mask,
+                     [[1, 1, 1], [0, 0, 0], [0, 0, 0]])
+        assert_equal(mask_rowcols(x, 1).mask,
+                     [[1, 0, 0], [1, 0, 0], [1, 0, 0]])
+        x = array(x._data, mask=[[0, 0, 0], [0, 1, 0], [0, 0, 0]])
+        assert_equal(mask_rowcols(x).mask,
+                     [[0, 1, 0], [1, 1, 1], [0, 1, 0]])
+        assert_equal(mask_rowcols(x, 0).mask,
+                     [[0, 0, 0], [1, 1, 1], [0, 0, 0]])
+        assert_equal(mask_rowcols(x, 1).mask,
+                     [[0, 1, 0], [0, 1, 0], [0, 1, 0]])
+        x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 0]])
+        assert_equal(mask_rowcols(x).mask,
+                     [[1, 1, 1], [1, 1, 1], [1, 1, 0]])
+        assert_equal(mask_rowcols(x, 0).mask,
+                     [[1, 1, 1], [1, 1, 1], [0, 0, 0]])
+        assert_equal(mask_rowcols(x, 1,).mask,
+                     [[1, 1, 0], [1, 1, 0], [1, 1, 0]])
+        x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 1]])
+        assert_(mask_rowcols(x).all() is masked)
+        assert_(mask_rowcols(x, 0).all() is masked)
+        assert_(mask_rowcols(x, 1).all() is masked)
+        assert_(mask_rowcols(x).mask.all())
+        assert_(mask_rowcols(x, 0).mask.all())
+        assert_(mask_rowcols(x, 1).mask.all())
+
+    @pytest.mark.parametrize("axis", [None, 0, 1])
+    @pytest.mark.parametrize(["func", "rowcols_axis"],
+                             [(np.ma.mask_rows, 0), (np.ma.mask_cols, 1)])
+    def test_mask_row_cols_axis_deprecation(self, axis, func, rowcols_axis):
+        # Test deprecation of the axis argument to `mask_rows` and `mask_cols`
+        x = array(np.arange(9).reshape(3, 3),
+                  mask=[[1, 0, 0], [0, 0, 0], [0, 0, 0]])
+
+        with assert_warns(DeprecationWarning):
+            res = func(x, axis=axis)
+            assert_equal(res, mask_rowcols(x, rowcols_axis))
+
+    def test_dot(self):
+        # Tests dot product
+        n = np.arange(1, 7)
+        #
+        m = [1, 0, 0, 0, 0, 0]
+        a = masked_array(n, mask=m).reshape(2, 3)
+        b = masked_array(n, mask=m).reshape(3, 2)
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask, [[1, 1], [1, 0]])
+        c = dot(b, a, strict=True)
+        assert_equal(c.mask, [[1, 1, 1], [1, 0, 0], [1, 0, 0]])
+        c = dot(a, b, strict=False)
+        assert_equal(c, np.dot(a.filled(0), b.filled(0)))
+        c = dot(b, a, strict=False)
+        assert_equal(c, np.dot(b.filled(0), a.filled(0)))
+        #
+        m = [0, 0, 0, 0, 0, 1]
+        a = masked_array(n, mask=m).reshape(2, 3)
+        b = masked_array(n, mask=m).reshape(3, 2)
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask, [[0, 1], [1, 1]])
+        c = dot(b, a, strict=True)
+        assert_equal(c.mask, [[0, 0, 1], [0, 0, 1], [1, 1, 1]])
+        c = dot(a, b, strict=False)
+        assert_equal(c, np.dot(a.filled(0), b.filled(0)))
+        assert_equal(c, dot(a, b))
+        c = dot(b, a, strict=False)
+        assert_equal(c, np.dot(b.filled(0), a.filled(0)))
+        #
+        m = [0, 0, 0, 0, 0, 0]
+        a = masked_array(n, mask=m).reshape(2, 3)
+        b = masked_array(n, mask=m).reshape(3, 2)
+        c = dot(a, b)
+        assert_equal(c.mask, nomask)
+        c = dot(b, a)
+        assert_equal(c.mask, nomask)
+        #
+        a = masked_array(n, mask=[1, 0, 0, 0, 0, 0]).reshape(2, 3)
+        b = masked_array(n, mask=[0, 0, 0, 0, 0, 0]).reshape(3, 2)
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask, [[1, 1], [0, 0]])
+        c = dot(a, b, strict=False)
+        assert_equal(c, np.dot(a.filled(0), b.filled(0)))
+        c = dot(b, a, strict=True)
+        assert_equal(c.mask, [[1, 0, 0], [1, 0, 0], [1, 0, 0]])
+        c = dot(b, a, strict=False)
+        assert_equal(c, np.dot(b.filled(0), a.filled(0)))
+        #
+        a = masked_array(n, mask=[0, 0, 0, 0, 0, 1]).reshape(2, 3)
+        b = masked_array(n, mask=[0, 0, 0, 0, 0, 0]).reshape(3, 2)
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask, [[0, 0], [1, 1]])
+        c = dot(a, b)
+        assert_equal(c, np.dot(a.filled(0), b.filled(0)))
+        c = dot(b, a, strict=True)
+        assert_equal(c.mask, [[0, 0, 1], [0, 0, 1], [0, 0, 1]])
+        c = dot(b, a, strict=False)
+        assert_equal(c, np.dot(b.filled(0), a.filled(0)))
+        #
+        a = masked_array(n, mask=[0, 0, 0, 0, 0, 1]).reshape(2, 3)
+        b = masked_array(n, mask=[0, 0, 1, 0, 0, 0]).reshape(3, 2)
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask, [[1, 0], [1, 1]])
+        c = dot(a, b, strict=False)
+        assert_equal(c, np.dot(a.filled(0), b.filled(0)))
+        c = dot(b, a, strict=True)
+        assert_equal(c.mask, [[0, 0, 1], [1, 1, 1], [0, 0, 1]])
+        c = dot(b, a, strict=False)
+        assert_equal(c, np.dot(b.filled(0), a.filled(0)))
+        #
+        a = masked_array(np.arange(8).reshape(2, 2, 2),
+                         mask=[[[1, 0], [0, 0]], [[0, 0], [0, 0]]])
+        b = masked_array(np.arange(8).reshape(2, 2, 2),
+                         mask=[[[0, 0], [0, 0]], [[0, 0], [0, 1]]])
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask,
+                     [[[[1, 1], [1, 1]], [[0, 0], [0, 1]]],
+                      [[[0, 0], [0, 1]], [[0, 0], [0, 1]]]])
+        c = dot(a, b, strict=False)
+        assert_equal(c.mask,
+                     [[[[0, 0], [0, 1]], [[0, 0], [0, 0]]],
+                      [[[0, 0], [0, 0]], [[0, 0], [0, 0]]]])
+        c = dot(b, a, strict=True)
+        assert_equal(c.mask,
+                     [[[[1, 0], [0, 0]], [[1, 0], [0, 0]]],
+                      [[[1, 0], [0, 0]], [[1, 1], [1, 1]]]])
+        c = dot(b, a, strict=False)
+        assert_equal(c.mask,
+                     [[[[0, 0], [0, 0]], [[0, 0], [0, 0]]],
+                      [[[0, 0], [0, 0]], [[1, 0], [0, 0]]]])
+        #
+        a = masked_array(np.arange(8).reshape(2, 2, 2),
+                         mask=[[[1, 0], [0, 0]], [[0, 0], [0, 0]]])
+        b = 5.
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]])
+        c = dot(a, b, strict=False)
+        assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]])
+        c = dot(b, a, strict=True)
+        assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]])
+        c = dot(b, a, strict=False)
+        assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]])
+        #
+        a = masked_array(np.arange(8).reshape(2, 2, 2),
+                         mask=[[[1, 0], [0, 0]], [[0, 0], [0, 0]]])
+        b = masked_array(np.arange(2), mask=[0, 1])
+        c = dot(a, b, strict=True)
+        assert_equal(c.mask, [[1, 1], [1, 1]])
+        c = dot(a, b, strict=False)
+        assert_equal(c.mask, [[1, 0], [0, 0]])
+
+    def test_dot_returns_maskedarray(self):
+        # See gh-6611
+        a = np.eye(3)
+        b = array(a)
+        assert_(type(dot(a, a)) is MaskedArray)
+        assert_(type(dot(a, b)) is MaskedArray)
+        assert_(type(dot(b, a)) is MaskedArray)
+        assert_(type(dot(b, b)) is MaskedArray)
+
+    def test_dot_out(self):
+        a = array(np.eye(3))
+        out = array(np.zeros((3, 3)))
+        res = dot(a, a, out=out)
+        assert_(res is out)
+        assert_equal(a, res)
+
+
+class TestApplyAlongAxis:
+    # Tests 2D functions
+    def test_3d(self):
+        a = arange(12.).reshape(2, 2, 3)
+
+        def myfunc(b):
+            return b[1]
+
+        xa = apply_along_axis(myfunc, 2, a)
+        assert_equal(xa, [[1, 4], [7, 10]])
+
+    # Tests kwargs functions
+    def test_3d_kwargs(self):
+        a = arange(12).reshape(2, 2, 3)
+
+        def myfunc(b, offset=0):
+            return b[1+offset]
+
+        xa = apply_along_axis(myfunc, 2, a, offset=1)
+        assert_equal(xa, [[2, 5], [8, 11]])
+
+
+class TestApplyOverAxes:
+    # Tests apply_over_axes
+    def test_basic(self):
+        a = arange(24).reshape(2, 3, 4)
+        test = apply_over_axes(np.sum, a, [0, 2])
+        ctrl = np.array([[[60], [92], [124]]])
+        assert_equal(test, ctrl)
+        a[(a % 2).astype(bool)] = masked
+        test = apply_over_axes(np.sum, a, [0, 2])
+        ctrl = np.array([[[28], [44], [60]]])
+        assert_equal(test, ctrl)
+
+
+class TestMedian:
+    def test_pytype(self):
+        r = np.ma.median([[np.inf, np.inf], [np.inf, np.inf]], axis=-1)
+        assert_equal(r, np.inf)
+
+    def test_inf(self):
+        # test that even which computes handles inf / x = masked
+        r = np.ma.median(np.ma.masked_array([[np.inf, np.inf],
+                                             [np.inf, np.inf]]), axis=-1)
+        assert_equal(r, np.inf)
+        r = np.ma.median(np.ma.masked_array([[np.inf, np.inf],
+                                             [np.inf, np.inf]]), axis=None)
+        assert_equal(r, np.inf)
+        # all masked
+        r = np.ma.median(np.ma.masked_array([[np.inf, np.inf],
+                                             [np.inf, np.inf]], mask=True),
+                         axis=-1)
+        assert_equal(r.mask, True)
+        r = np.ma.median(np.ma.masked_array([[np.inf, np.inf],
+                                             [np.inf, np.inf]], mask=True),
+                         axis=None)
+        assert_equal(r.mask, True)
+
+    def test_non_masked(self):
+        x = np.arange(9)
+        assert_equal(np.ma.median(x), 4.)
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        x = range(8)
+        assert_equal(np.ma.median(x), 3.5)
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        x = 5
+        assert_equal(np.ma.median(x), 5.)
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        # integer
+        x = np.arange(9 * 8).reshape(9, 8)
+        assert_equal(np.ma.median(x, axis=0), np.median(x, axis=0))
+        assert_equal(np.ma.median(x, axis=1), np.median(x, axis=1))
+        assert_(np.ma.median(x, axis=1) is not MaskedArray)
+        # float
+        x = np.arange(9 * 8.).reshape(9, 8)
+        assert_equal(np.ma.median(x, axis=0), np.median(x, axis=0))
+        assert_equal(np.ma.median(x, axis=1), np.median(x, axis=1))
+        assert_(np.ma.median(x, axis=1) is not MaskedArray)
+
+    def test_docstring_examples(self):
+        "test the examples given in the docstring of ma.median"
+        x = array(np.arange(8), mask=[0]*4 + [1]*4)
+        assert_equal(np.ma.median(x), 1.5)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        x = array(np.arange(10).reshape(2, 5), mask=[0]*6 + [1]*4)
+        assert_equal(np.ma.median(x), 2.5)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        ma_x = np.ma.median(x, axis=-1, overwrite_input=True)
+        assert_equal(ma_x, [2., 5.])
+        assert_equal(ma_x.shape, (2,), "shape mismatch")
+        assert_(type(ma_x) is MaskedArray)
+
+    def test_axis_argument_errors(self):
+        msg = "mask = %s, ndim = %s, axis = %s, overwrite_input = %s"
+        for ndmin in range(5):
+            for mask in [False, True]:
+                x = array(1, ndmin=ndmin, mask=mask)
+
+                # Valid axis values should not raise exception
+                args = itertools.product(range(-ndmin, ndmin), [False, True])
+                for axis, over in args:
+                    try:
+                        np.ma.median(x, axis=axis, overwrite_input=over)
+                    except Exception:
+                        raise AssertionError(msg % (mask, ndmin, axis, over))
+
+                # Invalid axis values should raise exception
+                args = itertools.product([-(ndmin + 1), ndmin], [False, True])
+                for axis, over in args:
+                    try:
+                        np.ma.median(x, axis=axis, overwrite_input=over)
+                    except np.exceptions.AxisError:
+                        pass
+                    else:
+                        raise AssertionError(msg % (mask, ndmin, axis, over))
+
+    def test_masked_0d(self):
+        # Check values
+        x = array(1, mask=False)
+        assert_equal(np.ma.median(x), 1)
+        x = array(1, mask=True)
+        assert_equal(np.ma.median(x), np.ma.masked)
+
+    def test_masked_1d(self):
+        x = array(np.arange(5), mask=True)
+        assert_equal(np.ma.median(x), np.ma.masked)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is np.ma.core.MaskedConstant)
+        x = array(np.arange(5), mask=False)
+        assert_equal(np.ma.median(x), 2.)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        x = array(np.arange(5), mask=[0,1,0,0,0])
+        assert_equal(np.ma.median(x), 2.5)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        x = array(np.arange(5), mask=[0,1,1,1,1])
+        assert_equal(np.ma.median(x), 0.)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        # integer
+        x = array(np.arange(5), mask=[0,1,1,0,0])
+        assert_equal(np.ma.median(x), 3.)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        # float
+        x = array(np.arange(5.), mask=[0,1,1,0,0])
+        assert_equal(np.ma.median(x), 3.)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        # integer
+        x = array(np.arange(6), mask=[0,1,1,1,1,0])
+        assert_equal(np.ma.median(x), 2.5)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        # float
+        x = array(np.arange(6.), mask=[0,1,1,1,1,0])
+        assert_equal(np.ma.median(x), 2.5)
+        assert_equal(np.ma.median(x).shape, (), "shape mismatch")
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+
+    def test_1d_shape_consistency(self):
+        assert_equal(np.ma.median(array([1,2,3],mask=[0,0,0])).shape,
+                     np.ma.median(array([1,2,3],mask=[0,1,0])).shape )
+
+    def test_2d(self):
+        # Tests median w/ 2D
+        (n, p) = (101, 30)
+        x = masked_array(np.linspace(-1., 1., n),)
+        x[:10] = x[-10:] = masked
+        z = masked_array(np.empty((n, p), dtype=float))
+        z[:, 0] = x[:]
+        idx = np.arange(len(x))
+        for i in range(1, p):
+            np.random.shuffle(idx)
+            z[:, i] = x[idx]
+        assert_equal(median(z[:, 0]), 0)
+        assert_equal(median(z), 0)
+        assert_equal(median(z, axis=0), np.zeros(p))
+        assert_equal(median(z.T, axis=1), np.zeros(p))
+
+    def test_2d_waxis(self):
+        # Tests median w/ 2D arrays and different axis.
+        x = masked_array(np.arange(30).reshape(10, 3))
+        x[:3] = x[-3:] = masked
+        assert_equal(median(x), 14.5)
+        assert_(type(np.ma.median(x)) is not MaskedArray)
+        assert_equal(median(x, axis=0), [13.5, 14.5, 15.5])
+        assert_(type(np.ma.median(x, axis=0)) is MaskedArray)
+        assert_equal(median(x, axis=1), [0, 0, 0, 10, 13, 16, 19, 0, 0, 0])
+        assert_(type(np.ma.median(x, axis=1)) is MaskedArray)
+        assert_equal(median(x, axis=1).mask, [1, 1, 1, 0, 0, 0, 0, 1, 1, 1])
+
+    def test_3d(self):
+        # Tests median w/ 3D
+        x = np.ma.arange(24).reshape(3, 4, 2)
+        x[x % 3 == 0] = masked
+        assert_equal(median(x, 0), [[12, 9], [6, 15], [12, 9], [18, 15]])
+        x.shape = (4, 3, 2)
+        assert_equal(median(x, 0), [[99, 10], [11, 99], [13, 14]])
+        x = np.ma.arange(24).reshape(4, 3, 2)
+        x[x % 5 == 0] = masked
+        assert_equal(median(x, 0), [[12, 10], [8, 9], [16, 17]])
+
+    def test_neg_axis(self):
+        x = masked_array(np.arange(30).reshape(10, 3))
+        x[:3] = x[-3:] = masked
+        assert_equal(median(x, axis=-1), median(x, axis=1))
+
+    def test_out_1d(self):
+        # integer float even odd
+        for v in (30, 30., 31, 31.):
+            x = masked_array(np.arange(v))
+            x[:3] = x[-3:] = masked
+            out = masked_array(np.ones(()))
+            r = median(x, out=out)
+            if v == 30:
+                assert_equal(out, 14.5)
+            else:
+                assert_equal(out, 15.)
+            assert_(r is out)
+            assert_(type(r) is MaskedArray)
+
+    def test_out(self):
+        # integer float even odd
+        for v in (40, 40., 30, 30.):
+            x = masked_array(np.arange(v).reshape(10, -1))
+            x[:3] = x[-3:] = masked
+            out = masked_array(np.ones(10))
+            r = median(x, axis=1, out=out)
+            if v == 30:
+                e = masked_array([0.]*3 + [10, 13, 16, 19] + [0.]*3,
+                                 mask=[True] * 3 + [False] * 4 + [True] * 3)
+            else:
+                e = masked_array([0.]*3 + [13.5, 17.5, 21.5, 25.5] + [0.]*3,
+                                 mask=[True]*3 + [False]*4 + [True]*3)
+            assert_equal(r, e)
+            assert_(r is out)
+            assert_(type(r) is MaskedArray)
+
+    @pytest.mark.parametrize(
+        argnames='axis',
+        argvalues=[
+            None,
+            1,
+            (1, ),
+            (0, 1),
+            (-3, -1),
+        ]
+    )
+    def test_keepdims_out(self, axis):
+        mask = np.zeros((3, 5, 7, 11), dtype=bool)
+        # Randomly set some elements to True:
+        w = np.random.random((4, 200)) * np.array(mask.shape)[:, None]
+        w = w.astype(np.intp)
+        mask[tuple(w)] = np.nan
+        d = masked_array(np.ones(mask.shape), mask=mask)
+        if axis is None:
+            shape_out = (1,) * d.ndim
+        else:
+            axis_norm = normalize_axis_tuple(axis, d.ndim)
+            shape_out = tuple(
+                1 if i in axis_norm else d.shape[i] for i in range(d.ndim))
+        out = masked_array(np.empty(shape_out))
+        result = median(d, axis=axis, keepdims=True, out=out)
+        assert result is out
+        assert_equal(result.shape, shape_out)
+
+    def test_single_non_masked_value_on_axis(self):
+        data = [[1., 0.],
+                [0., 3.],
+                [0., 0.]]
+        masked_arr = np.ma.masked_equal(data, 0)
+        expected = [1., 3.]
+        assert_array_equal(np.ma.median(masked_arr, axis=0),
+                           expected)
+
+    def test_nan(self):
+        for mask in (False, np.zeros(6, dtype=bool)):
+            dm = np.ma.array([[1, np.nan, 3], [1, 2, 3]])
+            dm.mask = mask
+
+            # scalar result
+            r = np.ma.median(dm, axis=None)
+            assert_(np.isscalar(r))
+            assert_array_equal(r, np.nan)
+            r = np.ma.median(dm.ravel(), axis=0)
+            assert_(np.isscalar(r))
+            assert_array_equal(r, np.nan)
+
+            r = np.ma.median(dm, axis=0)
+            assert_equal(type(r), MaskedArray)
+            assert_array_equal(r, [1, np.nan, 3])
+            r = np.ma.median(dm, axis=1)
+            assert_equal(type(r), MaskedArray)
+            assert_array_equal(r, [np.nan, 2])
+            r = np.ma.median(dm, axis=-1)
+            assert_equal(type(r), MaskedArray)
+            assert_array_equal(r, [np.nan, 2])
+
+        dm = np.ma.array([[1, np.nan, 3], [1, 2, 3]])
+        dm[:, 2] = np.ma.masked
+        assert_array_equal(np.ma.median(dm, axis=None), np.nan)
+        assert_array_equal(np.ma.median(dm, axis=0), [1, np.nan, 3])
+        assert_array_equal(np.ma.median(dm, axis=1), [np.nan, 1.5])
+
+    def test_out_nan(self):
+        o = np.ma.masked_array(np.zeros((4,)))
+        d = np.ma.masked_array(np.ones((3, 4)))
+        d[2, 1] = np.nan
+        d[2, 2] = np.ma.masked
+        assert_equal(np.ma.median(d, 0, out=o), o)
+        o = np.ma.masked_array(np.zeros((3,)))
+        assert_equal(np.ma.median(d, 1, out=o), o)
+        o = np.ma.masked_array(np.zeros(()))
+        assert_equal(np.ma.median(d, out=o), o)
+
+    def test_nan_behavior(self):
+        a = np.ma.masked_array(np.arange(24, dtype=float))
+        a[::3] = np.ma.masked
+        a[2] = np.nan
+        assert_array_equal(np.ma.median(a), np.nan)
+        assert_array_equal(np.ma.median(a, axis=0), np.nan)
+
+        a = np.ma.masked_array(np.arange(24, dtype=float).reshape(2, 3, 4))
+        a.mask = np.arange(a.size) % 2 == 1
+        aorig = a.copy()
+        a[1, 2, 3] = np.nan
+        a[1, 1, 2] = np.nan
+
+        # no axis
+        assert_array_equal(np.ma.median(a), np.nan)
+        assert_(np.isscalar(np.ma.median(a)))
+
+        # axis0
+        b = np.ma.median(aorig, axis=0)
+        b[2, 3] = np.nan
+        b[1, 2] = np.nan
+        assert_equal(np.ma.median(a, 0), b)
+
+        # axis1
+        b = np.ma.median(aorig, axis=1)
+        b[1, 3] = np.nan
+        b[1, 2] = np.nan
+        assert_equal(np.ma.median(a, 1), b)
+
+        # axis02
+        b = np.ma.median(aorig, axis=(0, 2))
+        b[1] = np.nan
+        b[2] = np.nan
+        assert_equal(np.ma.median(a, (0, 2)), b)
+
+    def test_ambigous_fill(self):
+        # 255 is max value, used as filler for sort
+        a = np.array([[3, 3, 255], [3, 3, 255]], dtype=np.uint8)
+        a = np.ma.masked_array(a, mask=a == 3)
+        assert_array_equal(np.ma.median(a, axis=1), 255)
+        assert_array_equal(np.ma.median(a, axis=1).mask, False)
+        assert_array_equal(np.ma.median(a, axis=0), a[0])
+        assert_array_equal(np.ma.median(a), 255)
+
+    def test_special(self):
+        for inf in [np.inf, -np.inf]:
+            a = np.array([[inf,  np.nan], [np.nan, np.nan]])
+            a = np.ma.masked_array(a, mask=np.isnan(a))
+            assert_equal(np.ma.median(a, axis=0), [inf,  np.nan])
+            assert_equal(np.ma.median(a, axis=1), [inf,  np.nan])
+            assert_equal(np.ma.median(a), inf)
+
+            a = np.array([[np.nan, np.nan, inf], [np.nan, np.nan, inf]])
+            a = np.ma.masked_array(a, mask=np.isnan(a))
+            assert_array_equal(np.ma.median(a, axis=1), inf)
+            assert_array_equal(np.ma.median(a, axis=1).mask, False)
+            assert_array_equal(np.ma.median(a, axis=0), a[0])
+            assert_array_equal(np.ma.median(a), inf)
+
+            # no mask
+            a = np.array([[inf, inf], [inf, inf]])
+            assert_equal(np.ma.median(a), inf)
+            assert_equal(np.ma.median(a, axis=0), inf)
+            assert_equal(np.ma.median(a, axis=1), inf)
+
+            a = np.array([[inf, 7, -inf, -9],
+                          [-10, np.nan, np.nan, 5],
+                          [4, np.nan, np.nan, inf]],
+                          dtype=np.float32)
+            a = np.ma.masked_array(a, mask=np.isnan(a))
+            if inf > 0:
+                assert_equal(np.ma.median(a, axis=0), [4., 7., -inf, 5.])
+                assert_equal(np.ma.median(a), 4.5)
+            else:
+                assert_equal(np.ma.median(a, axis=0), [-10., 7., -inf, -9.])
+                assert_equal(np.ma.median(a), -2.5)
+            assert_equal(np.ma.median(a, axis=1), [-1., -2.5, inf])
+
+            for i in range(0, 10):
+                for j in range(1, 10):
+                    a = np.array([([np.nan] * i) + ([inf] * j)] * 2)
+                    a = np.ma.masked_array(a, mask=np.isnan(a))
+                    assert_equal(np.ma.median(a), inf)
+                    assert_equal(np.ma.median(a, axis=1), inf)
+                    assert_equal(np.ma.median(a, axis=0),
+                                 ([np.nan] * i) + [inf] * j)
+
+    def test_empty(self):
+        # empty arrays
+        a = np.ma.masked_array(np.array([], dtype=float))
+        with suppress_warnings() as w:
+            w.record(RuntimeWarning)
+            assert_array_equal(np.ma.median(a), np.nan)
+            assert_(w.log[0].category is RuntimeWarning)
+
+        # multiple dimensions
+        a = np.ma.masked_array(np.array([], dtype=float, ndmin=3))
+        # no axis
+        with suppress_warnings() as w:
+            w.record(RuntimeWarning)
+            warnings.filterwarnings('always', '', RuntimeWarning)
+            assert_array_equal(np.ma.median(a), np.nan)
+            assert_(w.log[0].category is RuntimeWarning)
+
+        # axis 0 and 1
+        b = np.ma.masked_array(np.array([], dtype=float, ndmin=2))
+        assert_equal(np.ma.median(a, axis=0), b)
+        assert_equal(np.ma.median(a, axis=1), b)
+
+        # axis 2
+        b = np.ma.masked_array(np.array(np.nan, dtype=float, ndmin=2))
+        with warnings.catch_warnings(record=True) as w:
+            warnings.filterwarnings('always', '', RuntimeWarning)
+            assert_equal(np.ma.median(a, axis=2), b)
+            assert_(w[0].category is RuntimeWarning)
+
+    def test_object(self):
+        o = np.ma.masked_array(np.arange(7.))
+        assert_(type(np.ma.median(o.astype(object))), float)
+        o[2] = np.nan
+        assert_(type(np.ma.median(o.astype(object))), float)
+
+
+class TestCov:
+
+    def setup_method(self):
+        self.data = array(np.random.rand(12))
+
+    def test_covhelper(self):
+        x = self.data
+        # Test not mask output type is a float.
+        assert_(_covhelper(x, rowvar=True)[1].dtype, np.float32)
+        assert_(_covhelper(x, y=x, rowvar=False)[1].dtype, np.float32)
+        # Test not mask output is equal after casting to float.
+        mask = x > 0.5
+        assert_array_equal(
+            _covhelper(
+                np.ma.masked_array(x, mask), rowvar=True
+            )[1].astype(bool),
+            ~mask.reshape(1, -1),
+        )
+        assert_array_equal(
+            _covhelper(
+                np.ma.masked_array(x, mask), y=x, rowvar=False
+            )[1].astype(bool),
+            np.vstack((~mask, ~mask)),
+        )
+
+    def test_1d_without_missing(self):
+        # Test cov on 1D variable w/o missing values
+        x = self.data
+        assert_almost_equal(np.cov(x), cov(x))
+        assert_almost_equal(np.cov(x, rowvar=False), cov(x, rowvar=False))
+        assert_almost_equal(np.cov(x, rowvar=False, bias=True),
+                            cov(x, rowvar=False, bias=True))
+
+    def test_2d_without_missing(self):
+        # Test cov on 1 2D variable w/o missing values
+        x = self.data.reshape(3, 4)
+        assert_almost_equal(np.cov(x), cov(x))
+        assert_almost_equal(np.cov(x, rowvar=False), cov(x, rowvar=False))
+        assert_almost_equal(np.cov(x, rowvar=False, bias=True),
+                            cov(x, rowvar=False, bias=True))
+
+    def test_1d_with_missing(self):
+        # Test cov 1 1D variable w/missing values
+        x = self.data
+        x[-1] = masked
+        x -= x.mean()
+        nx = x.compressed()
+        assert_almost_equal(np.cov(nx), cov(x))
+        assert_almost_equal(np.cov(nx, rowvar=False), cov(x, rowvar=False))
+        assert_almost_equal(np.cov(nx, rowvar=False, bias=True),
+                            cov(x, rowvar=False, bias=True))
+        #
+        try:
+            cov(x, allow_masked=False)
+        except ValueError:
+            pass
+        #
+        # 2 1D variables w/ missing values
+        nx = x[1:-1]
+        assert_almost_equal(np.cov(nx, nx[::-1]), cov(x, x[::-1]))
+        assert_almost_equal(np.cov(nx, nx[::-1], rowvar=False),
+                            cov(x, x[::-1], rowvar=False))
+        assert_almost_equal(np.cov(nx, nx[::-1], rowvar=False, bias=True),
+                            cov(x, x[::-1], rowvar=False, bias=True))
+
+    def test_2d_with_missing(self):
+        # Test cov on 2D variable w/ missing value
+        x = self.data
+        x[-1] = masked
+        x = x.reshape(3, 4)
+        valid = np.logical_not(getmaskarray(x)).astype(int)
+        frac = np.dot(valid, valid.T)
+        xf = (x - x.mean(1)[:, None]).filled(0)
+        assert_almost_equal(cov(x),
+                            np.cov(xf) * (x.shape[1] - 1) / (frac - 1.))
+        assert_almost_equal(cov(x, bias=True),
+                            np.cov(xf, bias=True) * x.shape[1] / frac)
+        frac = np.dot(valid.T, valid)
+        xf = (x - x.mean(0)).filled(0)
+        assert_almost_equal(cov(x, rowvar=False),
+                            (np.cov(xf, rowvar=False) *
+                             (x.shape[0] - 1) / (frac - 1.)))
+        assert_almost_equal(cov(x, rowvar=False, bias=True),
+                            (np.cov(xf, rowvar=False, bias=True) *
+                             x.shape[0] / frac))
+
+
+class TestCorrcoef:
+
+    def setup_method(self):
+        self.data = array(np.random.rand(12))
+        self.data2 = array(np.random.rand(12))
+
+    def test_ddof(self):
+        # ddof raises DeprecationWarning
+        x, y = self.data, self.data2
+        expected = np.corrcoef(x)
+        expected2 = np.corrcoef(x, y)
+        with suppress_warnings() as sup:
+            warnings.simplefilter("always")
+            assert_warns(DeprecationWarning, corrcoef, x, ddof=-1)
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            # ddof has no or negligible effect on the function
+            assert_almost_equal(np.corrcoef(x, ddof=0), corrcoef(x, ddof=0))
+            assert_almost_equal(corrcoef(x, ddof=-1), expected)
+            assert_almost_equal(corrcoef(x, y, ddof=-1), expected2)
+            assert_almost_equal(corrcoef(x, ddof=3), expected)
+            assert_almost_equal(corrcoef(x, y, ddof=3), expected2)
+
+    def test_bias(self):
+        x, y = self.data, self.data2
+        expected = np.corrcoef(x)
+        # bias raises DeprecationWarning
+        with suppress_warnings() as sup:
+            warnings.simplefilter("always")
+            assert_warns(DeprecationWarning, corrcoef, x, y, True, False)
+            assert_warns(DeprecationWarning, corrcoef, x, y, True, True)
+            assert_warns(DeprecationWarning, corrcoef, x, bias=False)
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            # bias has no or negligible effect on the function
+            assert_almost_equal(corrcoef(x, bias=1), expected)
+
+    def test_1d_without_missing(self):
+        # Test cov on 1D variable w/o missing values
+        x = self.data
+        assert_almost_equal(np.corrcoef(x), corrcoef(x))
+        assert_almost_equal(np.corrcoef(x, rowvar=False),
+                            corrcoef(x, rowvar=False))
+        with suppress_warnings() as sup:
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            assert_almost_equal(np.corrcoef(x, rowvar=False, bias=True),
+                                corrcoef(x, rowvar=False, bias=True))
+
+    def test_2d_without_missing(self):
+        # Test corrcoef on 1 2D variable w/o missing values
+        x = self.data.reshape(3, 4)
+        assert_almost_equal(np.corrcoef(x), corrcoef(x))
+        assert_almost_equal(np.corrcoef(x, rowvar=False),
+                            corrcoef(x, rowvar=False))
+        with suppress_warnings() as sup:
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            assert_almost_equal(np.corrcoef(x, rowvar=False, bias=True),
+                                corrcoef(x, rowvar=False, bias=True))
+
+    def test_1d_with_missing(self):
+        # Test corrcoef 1 1D variable w/missing values
+        x = self.data
+        x[-1] = masked
+        x -= x.mean()
+        nx = x.compressed()
+        assert_almost_equal(np.corrcoef(nx), corrcoef(x))
+        assert_almost_equal(np.corrcoef(nx, rowvar=False),
+                            corrcoef(x, rowvar=False))
+        with suppress_warnings() as sup:
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            assert_almost_equal(np.corrcoef(nx, rowvar=False, bias=True),
+                                corrcoef(x, rowvar=False, bias=True))
+        try:
+            corrcoef(x, allow_masked=False)
+        except ValueError:
+            pass
+        # 2 1D variables w/ missing values
+        nx = x[1:-1]
+        assert_almost_equal(np.corrcoef(nx, nx[::-1]), corrcoef(x, x[::-1]))
+        assert_almost_equal(np.corrcoef(nx, nx[::-1], rowvar=False),
+                            corrcoef(x, x[::-1], rowvar=False))
+        with suppress_warnings() as sup:
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            # ddof and bias have no or negligible effect on the function
+            assert_almost_equal(np.corrcoef(nx, nx[::-1]),
+                                corrcoef(x, x[::-1], bias=1))
+            assert_almost_equal(np.corrcoef(nx, nx[::-1]),
+                                corrcoef(x, x[::-1], ddof=2))
+
+    def test_2d_with_missing(self):
+        # Test corrcoef on 2D variable w/ missing value
+        x = self.data
+        x[-1] = masked
+        x = x.reshape(3, 4)
+
+        test = corrcoef(x)
+        control = np.corrcoef(x)
+        assert_almost_equal(test[:-1, :-1], control[:-1, :-1])
+        with suppress_warnings() as sup:
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            # ddof and bias have no or negligible effect on the function
+            assert_almost_equal(corrcoef(x, ddof=-2)[:-1, :-1],
+                                control[:-1, :-1])
+            assert_almost_equal(corrcoef(x, ddof=3)[:-1, :-1],
+                                control[:-1, :-1])
+            assert_almost_equal(corrcoef(x, bias=1)[:-1, :-1],
+                                control[:-1, :-1])
+
+
+class TestPolynomial:
+    #
+    def test_polyfit(self):
+        # Tests polyfit
+        # On ndarrays
+        x = np.random.rand(10)
+        y = np.random.rand(20).reshape(-1, 2)
+        assert_almost_equal(polyfit(x, y, 3), np.polyfit(x, y, 3))
+        # ON 1D maskedarrays
+        x = x.view(MaskedArray)
+        x[0] = masked
+        y = y.view(MaskedArray)
+        y[0, 0] = y[-1, -1] = masked
+        #
+        (C, R, K, S, D) = polyfit(x, y[:, 0], 3, full=True)
+        (c, r, k, s, d) = np.polyfit(x[1:], y[1:, 0].compressed(), 3,
+                                     full=True)
+        for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)):
+            assert_almost_equal(a, a_)
+        #
+        (C, R, K, S, D) = polyfit(x, y[:, -1], 3, full=True)
+        (c, r, k, s, d) = np.polyfit(x[1:-1], y[1:-1, -1], 3, full=True)
+        for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)):
+            assert_almost_equal(a, a_)
+        #
+        (C, R, K, S, D) = polyfit(x, y, 3, full=True)
+        (c, r, k, s, d) = np.polyfit(x[1:-1], y[1:-1,:], 3, full=True)
+        for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)):
+            assert_almost_equal(a, a_)
+        #
+        w = np.random.rand(10) + 1
+        wo = w.copy()
+        xs = x[1:-1]
+        ys = y[1:-1]
+        ws = w[1:-1]
+        (C, R, K, S, D) = polyfit(x, y, 3, full=True, w=w)
+        (c, r, k, s, d) = np.polyfit(xs, ys, 3, full=True, w=ws)
+        assert_equal(w, wo)
+        for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)):
+            assert_almost_equal(a, a_)
+
+    def test_polyfit_with_masked_NaNs(self):
+        x = np.random.rand(10)
+        y = np.random.rand(20).reshape(-1, 2)
+
+        x[0] = np.nan
+        y[-1,-1] = np.nan
+        x = x.view(MaskedArray)
+        y = y.view(MaskedArray)
+        x[0] = masked
+        y[-1,-1] = masked
+
+        (C, R, K, S, D) = polyfit(x, y, 3, full=True)
+        (c, r, k, s, d) = np.polyfit(x[1:-1], y[1:-1,:], 3, full=True)
+        for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)):
+            assert_almost_equal(a, a_)
+
+
+class TestArraySetOps:
+
+    def test_unique_onlist(self):
+        # Test unique on list
+        data = [1, 1, 1, 2, 2, 3]
+        test = unique(data, return_index=True, return_inverse=True)
+        assert_(isinstance(test[0], MaskedArray))
+        assert_equal(test[0], masked_array([1, 2, 3], mask=[0, 0, 0]))
+        assert_equal(test[1], [0, 3, 5])
+        assert_equal(test[2], [0, 0, 0, 1, 1, 2])
+
+    def test_unique_onmaskedarray(self):
+        # Test unique on masked data w/use_mask=True
+        data = masked_array([1, 1, 1, 2, 2, 3], mask=[0, 0, 1, 0, 1, 0])
+        test = unique(data, return_index=True, return_inverse=True)
+        assert_equal(test[0], masked_array([1, 2, 3, -1], mask=[0, 0, 0, 1]))
+        assert_equal(test[1], [0, 3, 5, 2])
+        assert_equal(test[2], [0, 0, 3, 1, 3, 2])
+        #
+        data.fill_value = 3
+        data = masked_array(data=[1, 1, 1, 2, 2, 3],
+                            mask=[0, 0, 1, 0, 1, 0], fill_value=3)
+        test = unique(data, return_index=True, return_inverse=True)
+        assert_equal(test[0], masked_array([1, 2, 3, -1], mask=[0, 0, 0, 1]))
+        assert_equal(test[1], [0, 3, 5, 2])
+        assert_equal(test[2], [0, 0, 3, 1, 3, 2])
+
+    def test_unique_allmasked(self):
+        # Test all masked
+        data = masked_array([1, 1, 1], mask=True)
+        test = unique(data, return_index=True, return_inverse=True)
+        assert_equal(test[0], masked_array([1, ], mask=[True]))
+        assert_equal(test[1], [0])
+        assert_equal(test[2], [0, 0, 0])
+        #
+        # Test masked
+        data = masked
+        test = unique(data, return_index=True, return_inverse=True)
+        assert_equal(test[0], masked_array(masked))
+        assert_equal(test[1], [0])
+        assert_equal(test[2], [0])
+
+    def test_ediff1d(self):
+        # Tests mediff1d
+        x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1])
+        control = array([1, 1, 1, 4], mask=[1, 0, 0, 1])
+        test = ediff1d(x)
+        assert_equal(test, control)
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+
+    def test_ediff1d_tobegin(self):
+        # Test ediff1d w/ to_begin
+        x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1])
+        test = ediff1d(x, to_begin=masked)
+        control = array([0, 1, 1, 1, 4], mask=[1, 1, 0, 0, 1])
+        assert_equal(test, control)
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+        #
+        test = ediff1d(x, to_begin=[1, 2, 3])
+        control = array([1, 2, 3, 1, 1, 1, 4], mask=[0, 0, 0, 1, 0, 0, 1])
+        assert_equal(test, control)
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+
+    def test_ediff1d_toend(self):
+        # Test ediff1d w/ to_end
+        x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1])
+        test = ediff1d(x, to_end=masked)
+        control = array([1, 1, 1, 4, 0], mask=[1, 0, 0, 1, 1])
+        assert_equal(test, control)
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+        #
+        test = ediff1d(x, to_end=[1, 2, 3])
+        control = array([1, 1, 1, 4, 1, 2, 3], mask=[1, 0, 0, 1, 0, 0, 0])
+        assert_equal(test, control)
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+
+    def test_ediff1d_tobegin_toend(self):
+        # Test ediff1d w/ to_begin and to_end
+        x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1])
+        test = ediff1d(x, to_end=masked, to_begin=masked)
+        control = array([0, 1, 1, 1, 4, 0], mask=[1, 1, 0, 0, 1, 1])
+        assert_equal(test, control)
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+        #
+        test = ediff1d(x, to_end=[1, 2, 3], to_begin=masked)
+        control = array([0, 1, 1, 1, 4, 1, 2, 3],
+                        mask=[1, 1, 0, 0, 1, 0, 0, 0])
+        assert_equal(test, control)
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+
+    def test_ediff1d_ndarray(self):
+        # Test ediff1d w/ a ndarray
+        x = np.arange(5)
+        test = ediff1d(x)
+        control = array([1, 1, 1, 1], mask=[0, 0, 0, 0])
+        assert_equal(test, control)
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+        #
+        test = ediff1d(x, to_end=masked, to_begin=masked)
+        control = array([0, 1, 1, 1, 1, 0], mask=[1, 0, 0, 0, 0, 1])
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test.filled(0), control.filled(0))
+        assert_equal(test.mask, control.mask)
+
+    def test_intersect1d(self):
+        # Test intersect1d
+        x = array([1, 3, 3, 3], mask=[0, 0, 0, 1])
+        y = array([3, 1, 1, 1], mask=[0, 0, 0, 1])
+        test = intersect1d(x, y)
+        control = array([1, 3, -1], mask=[0, 0, 1])
+        assert_equal(test, control)
+
+    def test_setxor1d(self):
+        # Test setxor1d
+        a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1])
+        b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1])
+        test = setxor1d(a, b)
+        assert_equal(test, array([3, 4, 7]))
+        #
+        a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1])
+        b = [1, 2, 3, 4, 5]
+        test = setxor1d(a, b)
+        assert_equal(test, array([3, 4, 7, -1], mask=[0, 0, 0, 1]))
+        #
+        a = array([1, 2, 3])
+        b = array([6, 5, 4])
+        test = setxor1d(a, b)
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, [1, 2, 3, 4, 5, 6])
+        #
+        a = array([1, 8, 2, 3], mask=[0, 1, 0, 0])
+        b = array([6, 5, 4, 8], mask=[0, 0, 0, 1])
+        test = setxor1d(a, b)
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, [1, 2, 3, 4, 5, 6])
+        #
+        assert_array_equal([], setxor1d([], []))
+
+    def test_setxor1d_unique(self):
+        # Test setxor1d with assume_unique=True
+        a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1])
+        b = [1, 2, 3, 4, 5]
+        test = setxor1d(a, b, assume_unique=True)
+        assert_equal(test, array([3, 4, 7, -1], mask=[0, 0, 0, 1]))
+        #
+        a = array([1, 8, 2, 3], mask=[0, 1, 0, 0])
+        b = array([6, 5, 4, 8], mask=[0, 0, 0, 1])
+        test = setxor1d(a, b, assume_unique=True)
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, [1, 2, 3, 4, 5, 6])
+        #
+        a = array([[1], [8], [2], [3]])
+        b = array([[6, 5], [4, 8]])
+        test = setxor1d(a, b, assume_unique=True)
+        assert_(isinstance(test, MaskedArray))
+        assert_equal(test, [1, 2, 3, 4, 5, 6])
+
+    def test_isin(self):
+        # the tests for in1d cover most of isin's behavior
+        # if in1d is removed, would need to change those tests to test
+        # isin instead.
+        a = np.arange(24).reshape([2, 3, 4])
+        mask = np.zeros([2, 3, 4])
+        mask[1, 2, 0] = 1
+        a = array(a, mask=mask)
+        b = array(data=[0, 10, 20, 30,  1,  3, 11, 22, 33],
+                  mask=[0,  1,  0,  1,  0,  1,  0,  1,  0])
+        ec = zeros((2, 3, 4), dtype=bool)
+        ec[0, 0, 0] = True
+        ec[0, 0, 1] = True
+        ec[0, 2, 3] = True
+        c = isin(a, b)
+        assert_(isinstance(c, MaskedArray))
+        assert_array_equal(c, ec)
+        #compare results of np.isin to ma.isin
+        d = np.isin(a, b[~b.mask]) & ~a.mask
+        assert_array_equal(c, d)
+
+    def test_in1d(self):
+        # Test in1d
+        a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1])
+        b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1])
+        test = in1d(a, b)
+        assert_equal(test, [True, True, True, False, True])
+        #
+        a = array([5, 5, 2, 1, -1], mask=[0, 0, 0, 0, 1])
+        b = array([1, 5, -1], mask=[0, 0, 1])
+        test = in1d(a, b)
+        assert_equal(test, [True, True, False, True, True])
+        #
+        assert_array_equal([], in1d([], []))
+
+    def test_in1d_invert(self):
+        # Test in1d's invert parameter
+        a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1])
+        b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1])
+        assert_equal(np.invert(in1d(a, b)), in1d(a, b, invert=True))
+
+        a = array([5, 5, 2, 1, -1], mask=[0, 0, 0, 0, 1])
+        b = array([1, 5, -1], mask=[0, 0, 1])
+        assert_equal(np.invert(in1d(a, b)), in1d(a, b, invert=True))
+
+        assert_array_equal([], in1d([], [], invert=True))
+
+    def test_union1d(self):
+        # Test union1d
+        a = array([1, 2, 5, 7, 5, -1], mask=[0, 0, 0, 0, 0, 1])
+        b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1])
+        test = union1d(a, b)
+        control = array([1, 2, 3, 4, 5, 7, -1], mask=[0, 0, 0, 0, 0, 0, 1])
+        assert_equal(test, control)
+
+        # Tests gh-10340, arguments to union1d should be
+        # flattened if they are not already 1D
+        x = array([[0, 1, 2], [3, 4, 5]], mask=[[0, 0, 0], [0, 0, 1]])
+        y = array([0, 1, 2, 3, 4], mask=[0, 0, 0, 0, 1])
+        ez = array([0, 1, 2, 3, 4, 5], mask=[0, 0, 0, 0, 0, 1])
+        z = union1d(x, y)
+        assert_equal(z, ez)
+        #
+        assert_array_equal([], union1d([], []))
+
+    def test_setdiff1d(self):
+        # Test setdiff1d
+        a = array([6, 5, 4, 7, 7, 1, 2, 1], mask=[0, 0, 0, 0, 0, 0, 0, 1])
+        b = array([2, 4, 3, 3, 2, 1, 5])
+        test = setdiff1d(a, b)
+        assert_equal(test, array([6, 7, -1], mask=[0, 0, 1]))
+        #
+        a = arange(10)
+        b = arange(8)
+        assert_equal(setdiff1d(a, b), array([8, 9]))
+        a = array([], np.uint32, mask=[])
+        assert_equal(setdiff1d(a, []).dtype, np.uint32)
+
+    def test_setdiff1d_char_array(self):
+        # Test setdiff1d_charray
+        a = np.array(['a', 'b', 'c'])
+        b = np.array(['a', 'b', 's'])
+        assert_array_equal(setdiff1d(a, b), np.array(['c']))
+
+
+class TestShapeBase:
+
+    def test_atleast_2d(self):
+        # Test atleast_2d
+        a = masked_array([0, 1, 2], mask=[0, 1, 0])
+        b = atleast_2d(a)
+        assert_equal(b.shape, (1, 3))
+        assert_equal(b.mask.shape, b.data.shape)
+        assert_equal(a.shape, (3,))
+        assert_equal(a.mask.shape, a.data.shape)
+        assert_equal(b.mask.shape, b.data.shape)
+
+    def test_shape_scalar(self):
+        # the atleast and diagflat function should work with scalars
+        # GitHub issue #3367
+        # Additionally, the atleast functions should accept multiple scalars
+        # correctly
+        b = atleast_1d(1.0)
+        assert_equal(b.shape, (1,))
+        assert_equal(b.mask.shape, b.shape)
+        assert_equal(b.data.shape, b.shape)
+
+        b = atleast_1d(1.0, 2.0)
+        for a in b:
+            assert_equal(a.shape, (1,))
+            assert_equal(a.mask.shape, a.shape)
+            assert_equal(a.data.shape, a.shape)
+
+        b = atleast_2d(1.0)
+        assert_equal(b.shape, (1, 1))
+        assert_equal(b.mask.shape, b.shape)
+        assert_equal(b.data.shape, b.shape)
+
+        b = atleast_2d(1.0, 2.0)
+        for a in b:
+            assert_equal(a.shape, (1, 1))
+            assert_equal(a.mask.shape, a.shape)
+            assert_equal(a.data.shape, a.shape)
+
+        b = atleast_3d(1.0)
+        assert_equal(b.shape, (1, 1, 1))
+        assert_equal(b.mask.shape, b.shape)
+        assert_equal(b.data.shape, b.shape)
+
+        b = atleast_3d(1.0, 2.0)
+        for a in b:
+            assert_equal(a.shape, (1, 1, 1))
+            assert_equal(a.mask.shape, a.shape)
+            assert_equal(a.data.shape, a.shape)
+
+        b = diagflat(1.0)
+        assert_equal(b.shape, (1, 1))
+        assert_equal(b.mask.shape, b.data.shape)
+
+
+class TestNDEnumerate:
+
+    def test_ndenumerate_nomasked(self):
+        ordinary = np.arange(6.).reshape((1, 3, 2))
+        empty_mask = np.zeros_like(ordinary, dtype=bool)
+        with_mask = masked_array(ordinary, mask=empty_mask)
+        assert_equal(list(np.ndenumerate(ordinary)),
+                     list(ndenumerate(ordinary)))
+        assert_equal(list(ndenumerate(ordinary)),
+                     list(ndenumerate(with_mask)))
+        assert_equal(list(ndenumerate(with_mask)),
+                     list(ndenumerate(with_mask, compressed=False)))
+
+    def test_ndenumerate_allmasked(self):
+        a = masked_all(())
+        b = masked_all((100,))
+        c = masked_all((2, 3, 4))
+        assert_equal(list(ndenumerate(a)), [])
+        assert_equal(list(ndenumerate(b)), [])
+        assert_equal(list(ndenumerate(b, compressed=False)),
+                     list(zip(np.ndindex((100,)), 100 * [masked])))
+        assert_equal(list(ndenumerate(c)), [])
+        assert_equal(list(ndenumerate(c, compressed=False)),
+                     list(zip(np.ndindex((2, 3, 4)), 2 * 3 * 4 * [masked])))
+
+    def test_ndenumerate_mixedmasked(self):
+        a = masked_array(np.arange(12).reshape((3, 4)),
+                         mask=[[1, 1, 1, 1],
+                               [1, 1, 0, 1],
+                               [0, 0, 0, 0]])
+        items = [((1, 2), 6),
+                 ((2, 0), 8), ((2, 1), 9), ((2, 2), 10), ((2, 3), 11)]
+        assert_equal(list(ndenumerate(a)), items)
+        assert_equal(len(list(ndenumerate(a, compressed=False))), a.size)
+        for coordinate, value in ndenumerate(a, compressed=False):
+            assert_equal(a[coordinate], value)
+
+
+class TestStack:
+
+    def test_stack_1d(self):
+        a = masked_array([0, 1, 2], mask=[0, 1, 0])
+        b = masked_array([9, 8, 7], mask=[1, 0, 0])
+
+        c = stack([a, b], axis=0)
+        assert_equal(c.shape, (2, 3))
+        assert_array_equal(a.mask, c[0].mask)
+        assert_array_equal(b.mask, c[1].mask)
+
+        d = vstack([a, b])
+        assert_array_equal(c.data, d.data)
+        assert_array_equal(c.mask, d.mask)
+
+        c = stack([a, b], axis=1)
+        assert_equal(c.shape, (3, 2))
+        assert_array_equal(a.mask, c[:, 0].mask)
+        assert_array_equal(b.mask, c[:, 1].mask)
+
+    def test_stack_masks(self):
+        a = masked_array([0, 1, 2], mask=True)
+        b = masked_array([9, 8, 7], mask=False)
+
+        c = stack([a, b], axis=0)
+        assert_equal(c.shape, (2, 3))
+        assert_array_equal(a.mask, c[0].mask)
+        assert_array_equal(b.mask, c[1].mask)
+
+        d = vstack([a, b])
+        assert_array_equal(c.data, d.data)
+        assert_array_equal(c.mask, d.mask)
+
+        c = stack([a, b], axis=1)
+        assert_equal(c.shape, (3, 2))
+        assert_array_equal(a.mask, c[:, 0].mask)
+        assert_array_equal(b.mask, c[:, 1].mask)
+
+    def test_stack_nd(self):
+        # 2D
+        shp = (3, 2)
+        d1 = np.random.randint(0, 10, shp)
+        d2 = np.random.randint(0, 10, shp)
+        m1 = np.random.randint(0, 2, shp).astype(bool)
+        m2 = np.random.randint(0, 2, shp).astype(bool)
+        a1 = masked_array(d1, mask=m1)
+        a2 = masked_array(d2, mask=m2)
+
+        c = stack([a1, a2], axis=0)
+        c_shp = (2,) + shp
+        assert_equal(c.shape, c_shp)
+        assert_array_equal(a1.mask, c[0].mask)
+        assert_array_equal(a2.mask, c[1].mask)
+
+        c = stack([a1, a2], axis=-1)
+        c_shp = shp + (2,)
+        assert_equal(c.shape, c_shp)
+        assert_array_equal(a1.mask, c[..., 0].mask)
+        assert_array_equal(a2.mask, c[..., 1].mask)
+
+        # 4D
+        shp = (3, 2, 4, 5,)
+        d1 = np.random.randint(0, 10, shp)
+        d2 = np.random.randint(0, 10, shp)
+        m1 = np.random.randint(0, 2, shp).astype(bool)
+        m2 = np.random.randint(0, 2, shp).astype(bool)
+        a1 = masked_array(d1, mask=m1)
+        a2 = masked_array(d2, mask=m2)
+
+        c = stack([a1, a2], axis=0)
+        c_shp = (2,) + shp
+        assert_equal(c.shape, c_shp)
+        assert_array_equal(a1.mask, c[0].mask)
+        assert_array_equal(a2.mask, c[1].mask)
+
+        c = stack([a1, a2], axis=-1)
+        c_shp = shp + (2,)
+        assert_equal(c.shape, c_shp)
+        assert_array_equal(a1.mask, c[..., 0].mask)
+        assert_array_equal(a2.mask, c[..., 1].mask)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_mrecords.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_mrecords.py
new file mode 100644
index 0000000000000000000000000000000000000000..a364268a344bf9baccff6de535533936783312f7
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_mrecords.py
@@ -0,0 +1,493 @@
+# pylint: disable-msg=W0611, W0612, W0511,R0201
+"""Tests suite for mrecords.
+
+:author: Pierre Gerard-Marchant
+:contact: pierregm_at_uga_dot_edu
+
+"""
+import pickle
+
+import numpy as np
+import numpy.ma as ma
+from numpy.ma import masked, nomask
+from numpy.testing import temppath
+from numpy._core.records import (
+    recarray, fromrecords as recfromrecords, fromarrays as recfromarrays
+    )
+from numpy.ma.mrecords import (
+    MaskedRecords, mrecarray, fromarrays, fromtextfile, fromrecords,
+    addfield
+    )
+from numpy.ma.testutils import (
+    assert_, assert_equal,
+    assert_equal_records,
+    )
+
+
+class TestMRecords:
+
+    ilist = [1, 2, 3, 4, 5]
+    flist = [1.1, 2.2, 3.3, 4.4, 5.5]
+    slist = [b'one', b'two', b'three', b'four', b'five']
+    ddtype = [('a', int), ('b', float), ('c', '|S8')]
+    mask = [0, 1, 0, 0, 1]
+    base = ma.array(list(zip(ilist, flist, slist)), mask=mask, dtype=ddtype)
+
+    def test_byview(self):
+        # Test creation by view
+        base = self.base
+        mbase = base.view(mrecarray)
+        assert_equal(mbase.recordmask, base.recordmask)
+        assert_equal_records(mbase._mask, base._mask)
+        assert_(isinstance(mbase._data, recarray))
+        assert_equal_records(mbase._data, base._data.view(recarray))
+        for field in ('a', 'b', 'c'):
+            assert_equal(base[field], mbase[field])
+        assert_equal_records(mbase.view(mrecarray), mbase)
+
+    def test_get(self):
+        # Tests fields retrieval
+        base = self.base.copy()
+        mbase = base.view(mrecarray)
+        # As fields..........
+        for field in ('a', 'b', 'c'):
+            assert_equal(getattr(mbase, field), mbase[field])
+            assert_equal(base[field], mbase[field])
+        # as elements .......
+        mbase_first = mbase[0]
+        assert_(isinstance(mbase_first, mrecarray))
+        assert_equal(mbase_first.dtype, mbase.dtype)
+        assert_equal(mbase_first.tolist(), (1, 1.1, b'one'))
+        # Used to be mask, now it's recordmask
+        assert_equal(mbase_first.recordmask, nomask)
+        assert_equal(mbase_first._mask.item(), (False, False, False))
+        assert_equal(mbase_first['a'], mbase['a'][0])
+        mbase_last = mbase[-1]
+        assert_(isinstance(mbase_last, mrecarray))
+        assert_equal(mbase_last.dtype, mbase.dtype)
+        assert_equal(mbase_last.tolist(), (None, None, None))
+        # Used to be mask, now it's recordmask
+        assert_equal(mbase_last.recordmask, True)
+        assert_equal(mbase_last._mask.item(), (True, True, True))
+        assert_equal(mbase_last['a'], mbase['a'][-1])
+        assert_(mbase_last['a'] is masked)
+        # as slice ..........
+        mbase_sl = mbase[:2]
+        assert_(isinstance(mbase_sl, mrecarray))
+        assert_equal(mbase_sl.dtype, mbase.dtype)
+        # Used to be mask, now it's recordmask
+        assert_equal(mbase_sl.recordmask, [0, 1])
+        assert_equal_records(mbase_sl.mask,
+                             np.array([(False, False, False),
+                                       (True, True, True)],
+                                      dtype=mbase._mask.dtype))
+        assert_equal_records(mbase_sl, base[:2].view(mrecarray))
+        for field in ('a', 'b', 'c'):
+            assert_equal(getattr(mbase_sl, field), base[:2][field])
+
+    def test_set_fields(self):
+        # Tests setting fields.
+        base = self.base.copy()
+        mbase = base.view(mrecarray)
+        mbase = mbase.copy()
+        mbase.fill_value = (999999, 1e20, 'N/A')
+        # Change the data, the mask should be conserved
+        mbase.a._data[:] = 5
+        assert_equal(mbase['a']._data, [5, 5, 5, 5, 5])
+        assert_equal(mbase['a']._mask, [0, 1, 0, 0, 1])
+        # Change the elements, and the mask will follow
+        mbase.a = 1
+        assert_equal(mbase['a']._data, [1]*5)
+        assert_equal(ma.getmaskarray(mbase['a']), [0]*5)
+        # Use to be _mask, now it's recordmask
+        assert_equal(mbase.recordmask, [False]*5)
+        assert_equal(mbase._mask.tolist(),
+                     np.array([(0, 0, 0),
+                               (0, 1, 1),
+                               (0, 0, 0),
+                               (0, 0, 0),
+                               (0, 1, 1)],
+                              dtype=bool))
+        # Set a field to mask ........................
+        mbase.c = masked
+        # Use to be mask, and now it's still mask !
+        assert_equal(mbase.c.mask, [1]*5)
+        assert_equal(mbase.c.recordmask, [1]*5)
+        assert_equal(ma.getmaskarray(mbase['c']), [1]*5)
+        assert_equal(ma.getdata(mbase['c']), [b'N/A']*5)
+        assert_equal(mbase._mask.tolist(),
+                     np.array([(0, 0, 1),
+                               (0, 1, 1),
+                               (0, 0, 1),
+                               (0, 0, 1),
+                               (0, 1, 1)],
+                              dtype=bool))
+        # Set fields by slices .......................
+        mbase = base.view(mrecarray).copy()
+        mbase.a[3:] = 5
+        assert_equal(mbase.a, [1, 2, 3, 5, 5])
+        assert_equal(mbase.a._mask, [0, 1, 0, 0, 0])
+        mbase.b[3:] = masked
+        assert_equal(mbase.b, base['b'])
+        assert_equal(mbase.b._mask, [0, 1, 0, 1, 1])
+        # Set fields globally..........................
+        ndtype = [('alpha', '|S1'), ('num', int)]
+        data = ma.array([('a', 1), ('b', 2), ('c', 3)], dtype=ndtype)
+        rdata = data.view(MaskedRecords)
+        val = ma.array([10, 20, 30], mask=[1, 0, 0])
+
+        rdata['num'] = val
+        assert_equal(rdata.num, val)
+        assert_equal(rdata.num.mask, [1, 0, 0])
+
+    def test_set_fields_mask(self):
+        # Tests setting the mask of a field.
+        base = self.base.copy()
+        # This one has already a mask....
+        mbase = base.view(mrecarray)
+        mbase['a'][-2] = masked
+        assert_equal(mbase.a, [1, 2, 3, 4, 5])
+        assert_equal(mbase.a._mask, [0, 1, 0, 1, 1])
+        # This one has not yet
+        mbase = fromarrays([np.arange(5), np.random.rand(5)],
+                           dtype=[('a', int), ('b', float)])
+        mbase['a'][-2] = masked
+        assert_equal(mbase.a, [0, 1, 2, 3, 4])
+        assert_equal(mbase.a._mask, [0, 0, 0, 1, 0])
+
+    def test_set_mask(self):
+        base = self.base.copy()
+        mbase = base.view(mrecarray)
+        # Set the mask to True .......................
+        mbase.mask = masked
+        assert_equal(ma.getmaskarray(mbase['b']), [1]*5)
+        assert_equal(mbase['a']._mask, mbase['b']._mask)
+        assert_equal(mbase['a']._mask, mbase['c']._mask)
+        assert_equal(mbase._mask.tolist(),
+                     np.array([(1, 1, 1)]*5, dtype=bool))
+        # Delete the mask ............................
+        mbase.mask = nomask
+        assert_equal(ma.getmaskarray(mbase['c']), [0]*5)
+        assert_equal(mbase._mask.tolist(),
+                     np.array([(0, 0, 0)]*5, dtype=bool))
+
+    def test_set_mask_fromarray(self):
+        base = self.base.copy()
+        mbase = base.view(mrecarray)
+        # Sets the mask w/ an array
+        mbase.mask = [1, 0, 0, 0, 1]
+        assert_equal(mbase.a.mask, [1, 0, 0, 0, 1])
+        assert_equal(mbase.b.mask, [1, 0, 0, 0, 1])
+        assert_equal(mbase.c.mask, [1, 0, 0, 0, 1])
+        # Yay, once more !
+        mbase.mask = [0, 0, 0, 0, 1]
+        assert_equal(mbase.a.mask, [0, 0, 0, 0, 1])
+        assert_equal(mbase.b.mask, [0, 0, 0, 0, 1])
+        assert_equal(mbase.c.mask, [0, 0, 0, 0, 1])
+
+    def test_set_mask_fromfields(self):
+        mbase = self.base.copy().view(mrecarray)
+
+        nmask = np.array(
+            [(0, 1, 0), (0, 1, 0), (1, 0, 1), (1, 0, 1), (0, 0, 0)],
+            dtype=[('a', bool), ('b', bool), ('c', bool)])
+        mbase.mask = nmask
+        assert_equal(mbase.a.mask, [0, 0, 1, 1, 0])
+        assert_equal(mbase.b.mask, [1, 1, 0, 0, 0])
+        assert_equal(mbase.c.mask, [0, 0, 1, 1, 0])
+        # Reinitialize and redo
+        mbase.mask = False
+        mbase.fieldmask = nmask
+        assert_equal(mbase.a.mask, [0, 0, 1, 1, 0])
+        assert_equal(mbase.b.mask, [1, 1, 0, 0, 0])
+        assert_equal(mbase.c.mask, [0, 0, 1, 1, 0])
+
+    def test_set_elements(self):
+        base = self.base.copy()
+        # Set an element to mask .....................
+        mbase = base.view(mrecarray).copy()
+        mbase[-2] = masked
+        assert_equal(
+            mbase._mask.tolist(),
+            np.array([(0, 0, 0), (1, 1, 1), (0, 0, 0), (1, 1, 1), (1, 1, 1)],
+                     dtype=bool))
+        # Used to be mask, now it's recordmask!
+        assert_equal(mbase.recordmask, [0, 1, 0, 1, 1])
+        # Set slices .................................
+        mbase = base.view(mrecarray).copy()
+        mbase[:2] = (5, 5, 5)
+        assert_equal(mbase.a._data, [5, 5, 3, 4, 5])
+        assert_equal(mbase.a._mask, [0, 0, 0, 0, 1])
+        assert_equal(mbase.b._data, [5., 5., 3.3, 4.4, 5.5])
+        assert_equal(mbase.b._mask, [0, 0, 0, 0, 1])
+        assert_equal(mbase.c._data,
+                     [b'5', b'5', b'three', b'four', b'five'])
+        assert_equal(mbase.b._mask, [0, 0, 0, 0, 1])
+
+        mbase = base.view(mrecarray).copy()
+        mbase[:2] = masked
+        assert_equal(mbase.a._data, [1, 2, 3, 4, 5])
+        assert_equal(mbase.a._mask, [1, 1, 0, 0, 1])
+        assert_equal(mbase.b._data, [1.1, 2.2, 3.3, 4.4, 5.5])
+        assert_equal(mbase.b._mask, [1, 1, 0, 0, 1])
+        assert_equal(mbase.c._data,
+                     [b'one', b'two', b'three', b'four', b'five'])
+        assert_equal(mbase.b._mask, [1, 1, 0, 0, 1])
+
+    def test_setslices_hardmask(self):
+        # Tests setting slices w/ hardmask.
+        base = self.base.copy()
+        mbase = base.view(mrecarray)
+        mbase.harden_mask()
+        try:
+            mbase[-2:] = (5, 5, 5)
+            assert_equal(mbase.a._data, [1, 2, 3, 5, 5])
+            assert_equal(mbase.b._data, [1.1, 2.2, 3.3, 5, 5.5])
+            assert_equal(mbase.c._data,
+                         [b'one', b'two', b'three', b'5', b'five'])
+            assert_equal(mbase.a._mask, [0, 1, 0, 0, 1])
+            assert_equal(mbase.b._mask, mbase.a._mask)
+            assert_equal(mbase.b._mask, mbase.c._mask)
+        except NotImplementedError:
+            # OK, not implemented yet...
+            pass
+        except AssertionError:
+            raise
+        else:
+            raise Exception("Flexible hard masks should be supported !")
+        # Not using a tuple should crash
+        try:
+            mbase[-2:] = 3
+        except (NotImplementedError, TypeError):
+            pass
+        else:
+            raise TypeError("Should have expected a readable buffer object!")
+
+    def test_hardmask(self):
+        # Test hardmask
+        base = self.base.copy()
+        mbase = base.view(mrecarray)
+        mbase.harden_mask()
+        assert_(mbase._hardmask)
+        mbase.mask = nomask
+        assert_equal_records(mbase._mask, base._mask)
+        mbase.soften_mask()
+        assert_(not mbase._hardmask)
+        mbase.mask = nomask
+        # So, the mask of a field is no longer set to nomask...
+        assert_equal_records(mbase._mask,
+                             ma.make_mask_none(base.shape, base.dtype))
+        assert_(ma.make_mask(mbase['b']._mask) is nomask)
+        assert_equal(mbase['a']._mask, mbase['b']._mask)
+
+    def test_pickling(self):
+        # Test pickling
+        base = self.base.copy()
+        mrec = base.view(mrecarray)
+        for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+            _ = pickle.dumps(mrec, protocol=proto)
+            mrec_ = pickle.loads(_)
+            assert_equal(mrec_.dtype, mrec.dtype)
+            assert_equal_records(mrec_._data, mrec._data)
+            assert_equal(mrec_._mask, mrec._mask)
+            assert_equal_records(mrec_._mask, mrec._mask)
+
+    def test_filled(self):
+        # Test filling the array
+        _a = ma.array([1, 2, 3], mask=[0, 0, 1], dtype=int)
+        _b = ma.array([1.1, 2.2, 3.3], mask=[0, 0, 1], dtype=float)
+        _c = ma.array(['one', 'two', 'three'], mask=[0, 0, 1], dtype='|S8')
+        ddtype = [('a', int), ('b', float), ('c', '|S8')]
+        mrec = fromarrays([_a, _b, _c], dtype=ddtype,
+                          fill_value=(99999, 99999., 'N/A'))
+        mrecfilled = mrec.filled()
+        assert_equal(mrecfilled['a'], np.array((1, 2, 99999), dtype=int))
+        assert_equal(mrecfilled['b'], np.array((1.1, 2.2, 99999.),
+                                               dtype=float))
+        assert_equal(mrecfilled['c'], np.array(('one', 'two', 'N/A'),
+                                               dtype='|S8'))
+
+    def test_tolist(self):
+        # Test tolist.
+        _a = ma.array([1, 2, 3], mask=[0, 0, 1], dtype=int)
+        _b = ma.array([1.1, 2.2, 3.3], mask=[0, 0, 1], dtype=float)
+        _c = ma.array(['one', 'two', 'three'], mask=[1, 0, 0], dtype='|S8')
+        ddtype = [('a', int), ('b', float), ('c', '|S8')]
+        mrec = fromarrays([_a, _b, _c], dtype=ddtype,
+                          fill_value=(99999, 99999., 'N/A'))
+
+        assert_equal(mrec.tolist(),
+                     [(1, 1.1, None), (2, 2.2, b'two'),
+                      (None, None, b'three')])
+
+    def test_withnames(self):
+        # Test the creation w/ format and names
+        x = mrecarray(1, formats=float, names='base')
+        x[0]['base'] = 10
+        assert_equal(x['base'][0], 10)
+
+    def test_exotic_formats(self):
+        # Test that 'exotic' formats are processed properly
+        easy = mrecarray(1, dtype=[('i', int), ('s', '|S8'), ('f', float)])
+        easy[0] = masked
+        assert_equal(easy.filled(1).item(), (1, b'1', 1.))
+
+        solo = mrecarray(1, dtype=[('f0', ' 1:
+            assert_(eq(np.concatenate((x, y), 1),
+                               concatenate((xm, ym), 1)))
+            assert_(eq(np.add.reduce(x, 1), add.reduce(x, 1)))
+            assert_(eq(np.sum(x, 1), sum(x, 1)))
+            assert_(eq(np.prod(x, 1), product(x, 1)))
+
+    def test_testCI(self):
+        # Test of conversions and indexing
+        x1 = np.array([1, 2, 4, 3])
+        x2 = array(x1, mask=[1, 0, 0, 0])
+        x3 = array(x1, mask=[0, 1, 0, 1])
+        x4 = array(x1)
+        # test conversion to strings
+        str(x2)  # raises?
+        repr(x2)  # raises?
+        assert_(eq(np.sort(x1), sort(x2, fill_value=0)))
+        # tests of indexing
+        assert_(type(x2[1]) is type(x1[1]))
+        assert_(x1[1] == x2[1])
+        assert_(x2[0] is masked)
+        assert_(eq(x1[2], x2[2]))
+        assert_(eq(x1[2:5], x2[2:5]))
+        assert_(eq(x1[:], x2[:]))
+        assert_(eq(x1[1:], x3[1:]))
+        x1[2] = 9
+        x2[2] = 9
+        assert_(eq(x1, x2))
+        x1[1:3] = 99
+        x2[1:3] = 99
+        assert_(eq(x1, x2))
+        x2[1] = masked
+        assert_(eq(x1, x2))
+        x2[1:3] = masked
+        assert_(eq(x1, x2))
+        x2[:] = x1
+        x2[1] = masked
+        assert_(allequal(getmask(x2), array([0, 1, 0, 0])))
+        x3[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0])
+        assert_(allequal(getmask(x3), array([0, 1, 1, 0])))
+        x4[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0])
+        assert_(allequal(getmask(x4), array([0, 1, 1, 0])))
+        assert_(allequal(x4, array([1, 2, 3, 4])))
+        x1 = np.arange(5) * 1.0
+        x2 = masked_values(x1, 3.0)
+        assert_(eq(x1, x2))
+        assert_(allequal(array([0, 0, 0, 1, 0], MaskType), x2.mask))
+        assert_(eq(3.0, x2.fill_value))
+        x1 = array([1, 'hello', 2, 3], object)
+        x2 = np.array([1, 'hello', 2, 3], object)
+        s1 = x1[1]
+        s2 = x2[1]
+        assert_equal(type(s2), str)
+        assert_equal(type(s1), str)
+        assert_equal(s1, s2)
+        assert_(x1[1:1].shape == (0,))
+
+    def test_testCopySize(self):
+        # Tests of some subtle points of copying and sizing.
+        n = [0, 0, 1, 0, 0]
+        m = make_mask(n)
+        m2 = make_mask(m)
+        assert_(m is m2)
+        m3 = make_mask(m, copy=True)
+        assert_(m is not m3)
+
+        x1 = np.arange(5)
+        y1 = array(x1, mask=m)
+        assert_(y1._data is not x1)
+        assert_(allequal(x1, y1._data))
+        assert_(y1._mask is m)
+
+        y1a = array(y1, copy=0)
+        # For copy=False, one might expect that the array would just
+        # passed on, i.e., that it would be "is" instead of "==".
+        # See gh-4043 for discussion.
+        assert_(y1a._mask.__array_interface__ ==
+                y1._mask.__array_interface__)
+
+        y2 = array(x1, mask=m3, copy=0)
+        assert_(y2._mask is m3)
+        assert_(y2[2] is masked)
+        y2[2] = 9
+        assert_(y2[2] is not masked)
+        assert_(y2._mask is m3)
+        assert_(allequal(y2.mask, 0))
+
+        y2a = array(x1, mask=m, copy=1)
+        assert_(y2a._mask is not m)
+        assert_(y2a[2] is masked)
+        y2a[2] = 9
+        assert_(y2a[2] is not masked)
+        assert_(y2a._mask is not m)
+        assert_(allequal(y2a.mask, 0))
+
+        y3 = array(x1 * 1.0, mask=m)
+        assert_(filled(y3).dtype is (x1 * 1.0).dtype)
+
+        x4 = arange(4)
+        x4[2] = masked
+        y4 = resize(x4, (8,))
+        assert_(eq(concatenate([x4, x4]), y4))
+        assert_(eq(getmask(y4), [0, 0, 1, 0, 0, 0, 1, 0]))
+        y5 = repeat(x4, (2, 2, 2, 2), axis=0)
+        assert_(eq(y5, [0, 0, 1, 1, 2, 2, 3, 3]))
+        y6 = repeat(x4, 2, axis=0)
+        assert_(eq(y5, y6))
+
+    def test_testPut(self):
+        # Test of put
+        d = arange(5)
+        n = [0, 0, 0, 1, 1]
+        m = make_mask(n)
+        m2 = m.copy()
+        x = array(d, mask=m)
+        assert_(x[3] is masked)
+        assert_(x[4] is masked)
+        x[[1, 4]] = [10, 40]
+        assert_(x._mask is m)
+        assert_(x[3] is masked)
+        assert_(x[4] is not masked)
+        assert_(eq(x, [0, 10, 2, -1, 40]))
+
+        x = array(d, mask=m2, copy=True)
+        x.put([0, 1, 2], [-1, 100, 200])
+        assert_(x._mask is not m2)
+        assert_(x[3] is masked)
+        assert_(x[4] is masked)
+        assert_(eq(x, [-1, 100, 200, 0, 0]))
+
+    def test_testPut2(self):
+        # Test of put
+        d = arange(5)
+        x = array(d, mask=[0, 0, 0, 0, 0])
+        z = array([10, 40], mask=[1, 0])
+        assert_(x[2] is not masked)
+        assert_(x[3] is not masked)
+        x[2:4] = z
+        assert_(x[2] is masked)
+        assert_(x[3] is not masked)
+        assert_(eq(x, [0, 1, 10, 40, 4]))
+
+        d = arange(5)
+        x = array(d, mask=[0, 0, 0, 0, 0])
+        y = x[2:4]
+        z = array([10, 40], mask=[1, 0])
+        assert_(x[2] is not masked)
+        assert_(x[3] is not masked)
+        y[:] = z
+        assert_(y[0] is masked)
+        assert_(y[1] is not masked)
+        assert_(eq(y, [10, 40]))
+        assert_(x[2] is masked)
+        assert_(x[3] is not masked)
+        assert_(eq(x, [0, 1, 10, 40, 4]))
+
+    def test_testMaPut(self):
+        (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
+        m = [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1]
+        i = np.nonzero(m)[0]
+        put(ym, i, zm)
+        assert_(all(take(ym, i, axis=0) == zm))
+
+    def test_testOddFeatures(self):
+        # Test of other odd features
+        x = arange(20)
+        x = x.reshape(4, 5)
+        x.flat[5] = 12
+        assert_(x[1, 0] == 12)
+        z = x + 10j * x
+        assert_(eq(z.real, x))
+        assert_(eq(z.imag, 10 * x))
+        assert_(eq((z * conjugate(z)).real, 101 * x * x))
+        z.imag[...] = 0.0
+
+        x = arange(10)
+        x[3] = masked
+        assert_(str(x[3]) == str(masked))
+        c = x >= 8
+        assert_(count(where(c, masked, masked)) == 0)
+        assert_(shape(where(c, masked, masked)) == c.shape)
+        z = where(c, x, masked)
+        assert_(z.dtype is x.dtype)
+        assert_(z[3] is masked)
+        assert_(z[4] is masked)
+        assert_(z[7] is masked)
+        assert_(z[8] is not masked)
+        assert_(z[9] is not masked)
+        assert_(eq(x, z))
+        z = where(c, masked, x)
+        assert_(z.dtype is x.dtype)
+        assert_(z[3] is masked)
+        assert_(z[4] is not masked)
+        assert_(z[7] is not masked)
+        assert_(z[8] is masked)
+        assert_(z[9] is masked)
+        z = masked_where(c, x)
+        assert_(z.dtype is x.dtype)
+        assert_(z[3] is masked)
+        assert_(z[4] is not masked)
+        assert_(z[7] is not masked)
+        assert_(z[8] is masked)
+        assert_(z[9] is masked)
+        assert_(eq(x, z))
+        x = array([1., 2., 3., 4., 5.])
+        c = array([1, 1, 1, 0, 0])
+        x[2] = masked
+        z = where(c, x, -x)
+        assert_(eq(z, [1., 2., 0., -4., -5]))
+        c[0] = masked
+        z = where(c, x, -x)
+        assert_(eq(z, [1., 2., 0., -4., -5]))
+        assert_(z[0] is masked)
+        assert_(z[1] is not masked)
+        assert_(z[2] is masked)
+        assert_(eq(masked_where(greater(x, 2), x), masked_greater(x, 2)))
+        assert_(eq(masked_where(greater_equal(x, 2), x),
+                   masked_greater_equal(x, 2)))
+        assert_(eq(masked_where(less(x, 2), x), masked_less(x, 2)))
+        assert_(eq(masked_where(less_equal(x, 2), x), masked_less_equal(x, 2)))
+        assert_(eq(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2)))
+        assert_(eq(masked_where(equal(x, 2), x), masked_equal(x, 2)))
+        assert_(eq(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2)))
+        assert_(eq(masked_inside(list(range(5)), 1, 3), [0, 199, 199, 199, 4]))
+        assert_(eq(masked_outside(list(range(5)), 1, 3), [199, 1, 2, 3, 199]))
+        assert_(eq(masked_inside(array(list(range(5)),
+                                       mask=[1, 0, 0, 0, 0]), 1, 3).mask,
+                   [1, 1, 1, 1, 0]))
+        assert_(eq(masked_outside(array(list(range(5)),
+                                        mask=[0, 1, 0, 0, 0]), 1, 3).mask,
+                   [1, 1, 0, 0, 1]))
+        assert_(eq(masked_equal(array(list(range(5)),
+                                      mask=[1, 0, 0, 0, 0]), 2).mask,
+                   [1, 0, 1, 0, 0]))
+        assert_(eq(masked_not_equal(array([2, 2, 1, 2, 1],
+                                          mask=[1, 0, 0, 0, 0]), 2).mask,
+                   [1, 0, 1, 0, 1]))
+        assert_(eq(masked_where([1, 1, 0, 0, 0], [1, 2, 3, 4, 5]),
+                   [99, 99, 3, 4, 5]))
+        atest = ones((10, 10, 10), dtype=np.float32)
+        btest = zeros(atest.shape, MaskType)
+        ctest = masked_where(btest, atest)
+        assert_(eq(atest, ctest))
+        z = choose(c, (-x, x))
+        assert_(eq(z, [1., 2., 0., -4., -5]))
+        assert_(z[0] is masked)
+        assert_(z[1] is not masked)
+        assert_(z[2] is masked)
+        x = arange(6)
+        x[5] = masked
+        y = arange(6) * 10
+        y[2] = masked
+        c = array([1, 1, 1, 0, 0, 0], mask=[1, 0, 0, 0, 0, 0])
+        cm = c.filled(1)
+        z = where(c, x, y)
+        zm = where(cm, x, y)
+        assert_(eq(z, zm))
+        assert_(getmask(zm) is nomask)
+        assert_(eq(zm, [0, 1, 2, 30, 40, 50]))
+        z = where(c, masked, 1)
+        assert_(eq(z, [99, 99, 99, 1, 1, 1]))
+        z = where(c, 1, masked)
+        assert_(eq(z, [99, 1, 1, 99, 99, 99]))
+
+    def test_testMinMax2(self):
+        # Test of minimum, maximum.
+        assert_(eq(minimum([1, 2, 3], [4, 0, 9]), [1, 0, 3]))
+        assert_(eq(maximum([1, 2, 3], [4, 0, 9]), [4, 2, 9]))
+        x = arange(5)
+        y = arange(5) - 2
+        x[3] = masked
+        y[0] = masked
+        assert_(eq(minimum(x, y), where(less(x, y), x, y)))
+        assert_(eq(maximum(x, y), where(greater(x, y), x, y)))
+        assert_(minimum.reduce(x) == 0)
+        assert_(maximum.reduce(x) == 4)
+
+    def test_testTakeTransposeInnerOuter(self):
+        # Test of take, transpose, inner, outer products
+        x = arange(24)
+        y = np.arange(24)
+        x[5:6] = masked
+        x = x.reshape(2, 3, 4)
+        y = y.reshape(2, 3, 4)
+        assert_(eq(np.transpose(y, (2, 0, 1)), transpose(x, (2, 0, 1))))
+        assert_(eq(np.take(y, (2, 0, 1), 1), take(x, (2, 0, 1), 1)))
+        assert_(eq(np.inner(filled(x, 0), filled(y, 0)),
+                   inner(x, y)))
+        assert_(eq(np.outer(filled(x, 0), filled(y, 0)),
+                   outer(x, y)))
+        y = array(['abc', 1, 'def', 2, 3], object)
+        y[2] = masked
+        t = take(y, [0, 3, 4])
+        assert_(t[0] == 'abc')
+        assert_(t[1] == 2)
+        assert_(t[2] == 3)
+
+    def test_testInplace(self):
+        # Test of inplace operations and rich comparisons
+        y = arange(10)
+
+        x = arange(10)
+        xm = arange(10)
+        xm[2] = masked
+        x += 1
+        assert_(eq(x, y + 1))
+        xm += 1
+        assert_(eq(x, y + 1))
+
+        x = arange(10)
+        xm = arange(10)
+        xm[2] = masked
+        x -= 1
+        assert_(eq(x, y - 1))
+        xm -= 1
+        assert_(eq(xm, y - 1))
+
+        x = arange(10) * 1.0
+        xm = arange(10) * 1.0
+        xm[2] = masked
+        x *= 2.0
+        assert_(eq(x, y * 2))
+        xm *= 2.0
+        assert_(eq(xm, y * 2))
+
+        x = arange(10) * 2
+        xm = arange(10)
+        xm[2] = masked
+        x //= 2
+        assert_(eq(x, y))
+        xm //= 2
+        assert_(eq(x, y))
+
+        x = arange(10) * 1.0
+        xm = arange(10) * 1.0
+        xm[2] = masked
+        x /= 2.0
+        assert_(eq(x, y / 2.0))
+        xm /= arange(10)
+        assert_(eq(xm, ones((10,))))
+
+        x = arange(10).astype(np.float32)
+        xm = arange(10)
+        xm[2] = masked
+        x += 1.
+        assert_(eq(x, y + 1.))
+
+    def test_testPickle(self):
+        # Test of pickling
+        x = arange(12)
+        x[4:10:2] = masked
+        x = x.reshape(4, 3)
+        for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
+            s = pickle.dumps(x, protocol=proto)
+            y = pickle.loads(s)
+            assert_(eq(x, y))
+
+    def test_testMasked(self):
+        # Test of masked element
+        xx = arange(6)
+        xx[1] = masked
+        assert_(str(masked) == '--')
+        assert_(xx[1] is masked)
+        assert_equal(filled(xx[1], 0), 0)
+
+    def test_testAverage1(self):
+        # Test of average.
+        ott = array([0., 1., 2., 3.], mask=[1, 0, 0, 0])
+        assert_(eq(2.0, average(ott, axis=0)))
+        assert_(eq(2.0, average(ott, weights=[1., 1., 2., 1.])))
+        result, wts = average(ott, weights=[1., 1., 2., 1.], returned=True)
+        assert_(eq(2.0, result))
+        assert_(wts == 4.0)
+        ott[:] = masked
+        assert_(average(ott, axis=0) is masked)
+        ott = array([0., 1., 2., 3.], mask=[1, 0, 0, 0])
+        ott = ott.reshape(2, 2)
+        ott[:, 1] = masked
+        assert_(eq(average(ott, axis=0), [2.0, 0.0]))
+        assert_(average(ott, axis=1)[0] is masked)
+        assert_(eq([2., 0.], average(ott, axis=0)))
+        result, wts = average(ott, axis=0, returned=True)
+        assert_(eq(wts, [1., 0.]))
+
+    def test_testAverage2(self):
+        # More tests of average.
+        w1 = [0, 1, 1, 1, 1, 0]
+        w2 = [[0, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1]]
+        x = arange(6)
+        assert_(allclose(average(x, axis=0), 2.5))
+        assert_(allclose(average(x, axis=0, weights=w1), 2.5))
+        y = array([arange(6), 2.0 * arange(6)])
+        assert_(allclose(average(y, None),
+                                 np.add.reduce(np.arange(6)) * 3. / 12.))
+        assert_(allclose(average(y, axis=0), np.arange(6) * 3. / 2.))
+        assert_(allclose(average(y, axis=1),
+                                 [average(x, axis=0), average(x, axis=0)*2.0]))
+        assert_(allclose(average(y, None, weights=w2), 20. / 6.))
+        assert_(allclose(average(y, axis=0, weights=w2),
+                                 [0., 1., 2., 3., 4., 10.]))
+        assert_(allclose(average(y, axis=1),
+                                 [average(x, axis=0), average(x, axis=0)*2.0]))
+        m1 = zeros(6)
+        m2 = [0, 0, 1, 1, 0, 0]
+        m3 = [[0, 0, 1, 1, 0, 0], [0, 1, 1, 1, 1, 0]]
+        m4 = ones(6)
+        m5 = [0, 1, 1, 1, 1, 1]
+        assert_(allclose(average(masked_array(x, m1), axis=0), 2.5))
+        assert_(allclose(average(masked_array(x, m2), axis=0), 2.5))
+        assert_(average(masked_array(x, m4), axis=0) is masked)
+        assert_equal(average(masked_array(x, m5), axis=0), 0.0)
+        assert_equal(count(average(masked_array(x, m4), axis=0)), 0)
+        z = masked_array(y, m3)
+        assert_(allclose(average(z, None), 20. / 6.))
+        assert_(allclose(average(z, axis=0),
+                                 [0., 1., 99., 99., 4.0, 7.5]))
+        assert_(allclose(average(z, axis=1), [2.5, 5.0]))
+        assert_(allclose(average(z, axis=0, weights=w2),
+                                 [0., 1., 99., 99., 4.0, 10.0]))
+
+        a = arange(6)
+        b = arange(6) * 3
+        r1, w1 = average([[a, b], [b, a]], axis=1, returned=True)
+        assert_equal(shape(r1), shape(w1))
+        assert_equal(r1.shape, w1.shape)
+        r2, w2 = average(ones((2, 2, 3)), axis=0, weights=[3, 1], returned=True)
+        assert_equal(shape(w2), shape(r2))
+        r2, w2 = average(ones((2, 2, 3)), returned=True)
+        assert_equal(shape(w2), shape(r2))
+        r2, w2 = average(ones((2, 2, 3)), weights=ones((2, 2, 3)), returned=True)
+        assert_(shape(w2) == shape(r2))
+        a2d = array([[1, 2], [0, 4]], float)
+        a2dm = masked_array(a2d, [[0, 0], [1, 0]])
+        a2da = average(a2d, axis=0)
+        assert_(eq(a2da, [0.5, 3.0]))
+        a2dma = average(a2dm, axis=0)
+        assert_(eq(a2dma, [1.0, 3.0]))
+        a2dma = average(a2dm, axis=None)
+        assert_(eq(a2dma, 7. / 3.))
+        a2dma = average(a2dm, axis=1)
+        assert_(eq(a2dma, [1.5, 4.0]))
+
+    def test_testToPython(self):
+        assert_equal(1, int(array(1)))
+        assert_equal(1.0, float(array(1)))
+        assert_equal(1, int(array([[[1]]])))
+        assert_equal(1.0, float(array([[1]])))
+        assert_raises(TypeError, float, array([1, 1]))
+        assert_raises(ValueError, bool, array([0, 1]))
+        assert_raises(ValueError, bool, array([0, 0], mask=[0, 1]))
+
+    def test_testScalarArithmetic(self):
+        xm = array(0, mask=1)
+        #TODO FIXME: Find out what the following raises a warning in r8247
+        with np.errstate(divide='ignore'):
+            assert_((1 / array(0)).mask)
+        assert_((1 + xm).mask)
+        assert_((-xm).mask)
+        assert_((-xm).mask)
+        assert_(maximum(xm, xm).mask)
+        assert_(minimum(xm, xm).mask)
+        assert_(xm.filled().dtype is xm._data.dtype)
+        x = array(0, mask=0)
+        assert_(x.filled() == x._data)
+        assert_equal(str(xm), str(masked_print_option))
+
+    def test_testArrayMethods(self):
+        a = array([1, 3, 2])
+        assert_(eq(a.any(), a._data.any()))
+        assert_(eq(a.all(), a._data.all()))
+        assert_(eq(a.argmax(), a._data.argmax()))
+        assert_(eq(a.argmin(), a._data.argmin()))
+        assert_(eq(a.choose(0, 1, 2, 3, 4),
+                           a._data.choose(0, 1, 2, 3, 4)))
+        assert_(eq(a.compress([1, 0, 1]), a._data.compress([1, 0, 1])))
+        assert_(eq(a.conj(), a._data.conj()))
+        assert_(eq(a.conjugate(), a._data.conjugate()))
+        m = array([[1, 2], [3, 4]])
+        assert_(eq(m.diagonal(), m._data.diagonal()))
+        assert_(eq(a.sum(), a._data.sum()))
+        assert_(eq(a.take([1, 2]), a._data.take([1, 2])))
+        assert_(eq(m.transpose(), m._data.transpose()))
+
+    def test_testArrayAttributes(self):
+        a = array([1, 3, 2])
+        assert_equal(a.ndim, 1)
+
+    def test_testAPI(self):
+        assert_(not [m for m in dir(np.ndarray)
+                     if m not in dir(MaskedArray) and
+                     not m.startswith('_')])
+
+    def test_testSingleElementSubscript(self):
+        a = array([1, 3, 2])
+        b = array([1, 3, 2], mask=[1, 0, 1])
+        assert_equal(a[0].shape, ())
+        assert_equal(b[0].shape, ())
+        assert_equal(b[1].shape, ())
+
+    def test_assignment_by_condition(self):
+        # Test for gh-18951
+        a = array([1, 2, 3, 4], mask=[1, 0, 1, 0])
+        c = a >= 3
+        a[c] = 5
+        assert_(a[2] is masked)
+
+    def test_assignment_by_condition_2(self):
+        # gh-19721
+        a = masked_array([0, 1], mask=[False, False])
+        b = masked_array([0, 1], mask=[True, True])
+        mask = a < 1
+        b[mask] = a[mask]
+        expected_mask = [False, True]
+        assert_equal(b.mask, expected_mask)
+
+
+class TestUfuncs:
+    def setup_method(self):
+        self.d = (array([1.0, 0, -1, pi / 2] * 2, mask=[0, 1] + [0] * 6),
+                  array([1.0, 0, -1, pi / 2] * 2, mask=[1, 0] + [0] * 6),)
+
+    def test_testUfuncRegression(self):
+        f_invalid_ignore = [
+            'sqrt', 'arctanh', 'arcsin', 'arccos',
+            'arccosh', 'arctanh', 'log', 'log10', 'divide',
+            'true_divide', 'floor_divide', 'remainder', 'fmod']
+        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
+                  'sin', 'cos', 'tan',
+                  'arcsin', 'arccos', 'arctan',
+                  'sinh', 'cosh', 'tanh',
+                  'arcsinh',
+                  'arccosh',
+                  'arctanh',
+                  'absolute', 'fabs', 'negative',
+                  'floor', 'ceil',
+                  'logical_not',
+                  'add', 'subtract', 'multiply',
+                  'divide', 'true_divide', 'floor_divide',
+                  'remainder', 'fmod', 'hypot', 'arctan2',
+                  'equal', 'not_equal', 'less_equal', 'greater_equal',
+                  'less', 'greater',
+                  'logical_and', 'logical_or', 'logical_xor']:
+            try:
+                uf = getattr(umath, f)
+            except AttributeError:
+                uf = getattr(fromnumeric, f)
+            mf = getattr(np.ma, f)
+            args = self.d[:uf.nin]
+            with np.errstate():
+                if f in f_invalid_ignore:
+                    np.seterr(invalid='ignore')
+                if f in ['arctanh', 'log', 'log10']:
+                    np.seterr(divide='ignore')
+                ur = uf(*args)
+                mr = mf(*args)
+            assert_(eq(ur.filled(0), mr.filled(0), f))
+            assert_(eqmask(ur.mask, mr.mask))
+
+    def test_reduce(self):
+        a = self.d[0]
+        assert_(not alltrue(a, axis=0))
+        assert_(sometrue(a, axis=0))
+        assert_equal(sum(a[:3], axis=0), 0)
+        assert_equal(product(a, axis=0), 0)
+
+    def test_minmax(self):
+        a = arange(1, 13).reshape(3, 4)
+        amask = masked_where(a < 5, a)
+        assert_equal(amask.max(), a.max())
+        assert_equal(amask.min(), 5)
+        assert_((amask.max(0) == a.max(0)).all())
+        assert_((amask.min(0) == [5, 6, 7, 8]).all())
+        assert_(amask.max(1)[0].mask)
+        assert_(amask.min(1)[0].mask)
+
+    def test_nonzero(self):
+        for t in "?bhilqpBHILQPfdgFDGO":
+            x = array([1, 0, 2, 0], mask=[0, 0, 1, 1])
+            assert_(eq(nonzero(x), [0]))
+
+
+class TestArrayMethods:
+
+    def setup_method(self):
+        x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928,
+                      8.43, 7.78, 9.865, 5.878, 8.979, 4.732,
+                      3.012, 6.022, 5.095, 3.116, 5.238, 3.957,
+                      6.04, 9.63, 7.712, 3.382, 4.489, 6.479,
+                      7.189, 9.645, 5.395, 4.961, 9.894, 2.893,
+                      7.357, 9.828, 6.272, 3.758, 6.693, 0.993])
+        X = x.reshape(6, 6)
+        XX = x.reshape(3, 2, 2, 3)
+
+        m = np.array([0, 1, 0, 1, 0, 0,
+                      1, 0, 1, 1, 0, 1,
+                      0, 0, 0, 1, 0, 1,
+                      0, 0, 0, 1, 1, 1,
+                      1, 0, 0, 1, 0, 0,
+                      0, 0, 1, 0, 1, 0])
+        mx = array(data=x, mask=m)
+        mX = array(data=X, mask=m.reshape(X.shape))
+        mXX = array(data=XX, mask=m.reshape(XX.shape))
+
+        self.d = (x, X, XX, m, mx, mX, mXX)
+
+    def test_trace(self):
+        (x, X, XX, m, mx, mX, mXX,) = self.d
+        mXdiag = mX.diagonal()
+        assert_equal(mX.trace(), mX.diagonal().compressed().sum())
+        assert_(eq(mX.trace(),
+                           X.trace() - sum(mXdiag.mask * X.diagonal(),
+                                           axis=0)))
+
+    def test_clip(self):
+        (x, X, XX, m, mx, mX, mXX,) = self.d
+        clipped = mx.clip(2, 8)
+        assert_(eq(clipped.mask, mx.mask))
+        assert_(eq(clipped._data, x.clip(2, 8)))
+        assert_(eq(clipped._data, mx._data.clip(2, 8)))
+
+    def test_ptp(self):
+        (x, X, XX, m, mx, mX, mXX,) = self.d
+        (n, m) = X.shape
+        # print(type(mx), mx.compressed())
+        # raise Exception()
+        assert_equal(mx.ptp(), np.ptp(mx.compressed()))
+        rows = np.zeros(n, np.float64)
+        cols = np.zeros(m, np.float64)
+        for k in range(m):
+            cols[k] = np.ptp(mX[:, k].compressed())
+        for k in range(n):
+            rows[k] = np.ptp(mX[k].compressed())
+        assert_(eq(mX.ptp(0), cols))
+        assert_(eq(mX.ptp(1), rows))
+
+    def test_swapaxes(self):
+        (x, X, XX, m, mx, mX, mXX,) = self.d
+        mXswapped = mX.swapaxes(0, 1)
+        assert_(eq(mXswapped[-1], mX[:, -1]))
+        mXXswapped = mXX.swapaxes(0, 2)
+        assert_equal(mXXswapped.shape, (2, 2, 3, 3))
+
+    def test_cumprod(self):
+        (x, X, XX, m, mx, mX, mXX,) = self.d
+        mXcp = mX.cumprod(0)
+        assert_(eq(mXcp._data, mX.filled(1).cumprod(0)))
+        mXcp = mX.cumprod(1)
+        assert_(eq(mXcp._data, mX.filled(1).cumprod(1)))
+
+    def test_cumsum(self):
+        (x, X, XX, m, mx, mX, mXX,) = self.d
+        mXcp = mX.cumsum(0)
+        assert_(eq(mXcp._data, mX.filled(0).cumsum(0)))
+        mXcp = mX.cumsum(1)
+        assert_(eq(mXcp._data, mX.filled(0).cumsum(1)))
+
+    def test_varstd(self):
+        (x, X, XX, m, mx, mX, mXX,) = self.d
+        assert_(eq(mX.var(axis=None), mX.compressed().var()))
+        assert_(eq(mX.std(axis=None), mX.compressed().std()))
+        assert_(eq(mXX.var(axis=3).shape, XX.var(axis=3).shape))
+        assert_(eq(mX.var().shape, X.var().shape))
+        (mXvar0, mXvar1) = (mX.var(axis=0), mX.var(axis=1))
+        for k in range(6):
+            assert_(eq(mXvar1[k], mX[k].compressed().var()))
+            assert_(eq(mXvar0[k], mX[:, k].compressed().var()))
+            assert_(eq(np.sqrt(mXvar0[k]),
+                               mX[:, k].compressed().std()))
+
+
+def eqmask(m1, m2):
+    if m1 is nomask:
+        return m2 is nomask
+    if m2 is nomask:
+        return m1 is nomask
+    return (m1 == m2).all()
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_regression.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_regression.py
new file mode 100644
index 0000000000000000000000000000000000000000..f4f32cc7a98b4567076c9ccb340f6063321ba607
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_regression.py
@@ -0,0 +1,97 @@
+import numpy as np
+from numpy.testing import (
+    assert_, assert_array_equal, assert_allclose, suppress_warnings
+    )
+
+
+class TestRegression:
+    def test_masked_array_create(self):
+        # Ticket #17
+        x = np.ma.masked_array([0, 1, 2, 3, 0, 4, 5, 6],
+                               mask=[0, 0, 0, 1, 1, 1, 0, 0])
+        assert_array_equal(np.ma.nonzero(x), [[1, 2, 6, 7]])
+
+    def test_masked_array(self):
+        # Ticket #61
+        np.ma.array(1, mask=[1])
+
+    def test_mem_masked_where(self):
+        # Ticket #62
+        from numpy.ma import masked_where, MaskType
+        a = np.zeros((1, 1))
+        b = np.zeros(a.shape, MaskType)
+        c = masked_where(b, a)
+        a-c
+
+    def test_masked_array_multiply(self):
+        # Ticket #254
+        a = np.ma.zeros((4, 1))
+        a[2, 0] = np.ma.masked
+        b = np.zeros((4, 2))
+        a*b
+        b*a
+
+    def test_masked_array_repeat(self):
+        # Ticket #271
+        np.ma.array([1], mask=False).repeat(10)
+
+    def test_masked_array_repr_unicode(self):
+        # Ticket #1256
+        repr(np.ma.array("Unicode"))
+
+    def test_atleast_2d(self):
+        # Ticket #1559
+        a = np.ma.masked_array([0.0, 1.2, 3.5], mask=[False, True, False])
+        b = np.atleast_2d(a)
+        assert_(a.mask.ndim == 1)
+        assert_(b.mask.ndim == 2)
+
+    def test_set_fill_value_unicode_py3(self):
+        # Ticket #2733
+        a = np.ma.masked_array(['a', 'b', 'c'], mask=[1, 0, 0])
+        a.fill_value = 'X'
+        assert_(a.fill_value == 'X')
+
+    def test_var_sets_maskedarray_scalar(self):
+        # Issue gh-2757
+        a = np.ma.array(np.arange(5), mask=True)
+        mout = np.ma.array(-1, dtype=float)
+        a.var(out=mout)
+        assert_(mout._data == 0)
+
+    def test_ddof_corrcoef(self):
+        # See gh-3336
+        x = np.ma.masked_equal([1, 2, 3, 4, 5], 4)
+        y = np.array([2, 2.5, 3.1, 3, 5])
+        # this test can be removed after deprecation.
+        with suppress_warnings() as sup:
+            sup.filter(DeprecationWarning, "bias and ddof have no effect")
+            r0 = np.ma.corrcoef(x, y, ddof=0)
+            r1 = np.ma.corrcoef(x, y, ddof=1)
+            # ddof should not have an effect (it gets cancelled out)
+            assert_allclose(r0.data, r1.data)
+
+    def test_mask_not_backmangled(self):
+        # See gh-10314.  Test case taken from gh-3140.
+        a = np.ma.MaskedArray([1., 2.], mask=[False, False])
+        assert_(a.mask.shape == (2,))
+        b = np.tile(a, (2, 1))
+        # Check that the above no longer changes a.shape to (1, 2)
+        assert_(a.mask.shape == (2,))
+        assert_(b.shape == (2, 2))
+        assert_(b.mask.shape == (2, 2))
+
+    def test_empty_list_on_structured(self):
+        # See gh-12464. Indexing with empty list should give empty result.
+        ma = np.ma.MaskedArray([(1, 1.), (2, 2.), (3, 3.)], dtype='i4,f4')
+        assert_array_equal(ma[[]], ma[:0])
+
+    def test_masked_array_tobytes_fortran(self):
+        ma = np.ma.arange(4).reshape((2,2))
+        assert_array_equal(ma.tobytes(order='F'), ma.T.tobytes())
+
+    def test_structured_array(self):
+        # see gh-22041
+        np.ma.array((1, (b"", b"")),
+                    dtype=[("x", np.int_),
+                          ("y", [("i", np.void), ("j", np.void)])])
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_subclassing.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_subclassing.py
new file mode 100644
index 0000000000000000000000000000000000000000..c454af09bb196692015438415a6e85fb82ef6a1b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/tests/test_subclassing.py
@@ -0,0 +1,460 @@
+# pylint: disable-msg=W0611, W0612, W0511,R0201
+"""Tests suite for MaskedArray & subclassing.
+
+:author: Pierre Gerard-Marchant
+:contact: pierregm_at_uga_dot_edu
+:version: $Id: test_subclassing.py 3473 2007-10-29 15:18:13Z jarrod.millman $
+
+"""
+import numpy as np
+from numpy.lib.mixins import NDArrayOperatorsMixin
+from numpy.testing import assert_, assert_raises
+from numpy.ma.testutils import assert_equal
+from numpy.ma.core import (
+    array, arange, masked, MaskedArray, masked_array, log, add, hypot,
+    divide, asarray, asanyarray, nomask
+    )
+# from numpy.ma.core import (
+
+def assert_startswith(a, b):
+    # produces a better error message than assert_(a.startswith(b))
+    assert_equal(a[:len(b)], b)
+
+class SubArray(np.ndarray):
+    # Defines a generic np.ndarray subclass, that stores some metadata
+    # in the  dictionary `info`.
+    def __new__(cls,arr,info={}):
+        x = np.asanyarray(arr).view(cls)
+        x.info = info.copy()
+        return x
+
+    def __array_finalize__(self, obj):
+        super().__array_finalize__(obj)
+        self.info = getattr(obj, 'info', {}).copy()
+        return
+
+    def __add__(self, other):
+        result = super().__add__(other)
+        result.info['added'] = result.info.get('added', 0) + 1
+        return result
+
+    def __iadd__(self, other):
+        result = super().__iadd__(other)
+        result.info['iadded'] = result.info.get('iadded', 0) + 1
+        return result
+
+
+subarray = SubArray
+
+
+class SubMaskedArray(MaskedArray):
+    """Pure subclass of MaskedArray, keeping some info on subclass."""
+    def __new__(cls, info=None, **kwargs):
+        obj = super().__new__(cls, **kwargs)
+        obj._optinfo['info'] = info
+        return obj
+
+
+class MSubArray(SubArray, MaskedArray):
+
+    def __new__(cls, data, info={}, mask=nomask):
+        subarr = SubArray(data, info)
+        _data = MaskedArray.__new__(cls, data=subarr, mask=mask)
+        _data.info = subarr.info
+        return _data
+
+    @property
+    def _series(self):
+        _view = self.view(MaskedArray)
+        _view._sharedmask = False
+        return _view
+
+msubarray = MSubArray
+
+
+# Also a subclass that overrides __str__, __repr__ and __setitem__, disallowing
+# setting to non-class values (and thus np.ma.core.masked_print_option)
+# and overrides __array_wrap__, updating the info dict, to check that this
+# doesn't get destroyed by MaskedArray._update_from.  But this one also needs
+# its own iterator...
+class CSAIterator:
+    """
+    Flat iterator object that uses its own setter/getter
+    (works around ndarray.flat not propagating subclass setters/getters
+    see https://github.com/numpy/numpy/issues/4564)
+    roughly following MaskedIterator
+    """
+    def __init__(self, a):
+        self._original = a
+        self._dataiter = a.view(np.ndarray).flat
+
+    def __iter__(self):
+        return self
+
+    def __getitem__(self, indx):
+        out = self._dataiter.__getitem__(indx)
+        if not isinstance(out, np.ndarray):
+            out = out.__array__()
+        out = out.view(type(self._original))
+        return out
+
+    def __setitem__(self, index, value):
+        self._dataiter[index] = self._original._validate_input(value)
+
+    def __next__(self):
+        return next(self._dataiter).__array__().view(type(self._original))
+
+
+class ComplicatedSubArray(SubArray):
+
+    def __str__(self):
+        return f'myprefix {self.view(SubArray)} mypostfix'
+
+    def __repr__(self):
+        # Return a repr that does not start with 'name('
+        return f'<{self.__class__.__name__} {self}>'
+
+    def _validate_input(self, value):
+        if not isinstance(value, ComplicatedSubArray):
+            raise ValueError("Can only set to MySubArray values")
+        return value
+
+    def __setitem__(self, item, value):
+        # validation ensures direct assignment with ndarray or
+        # masked_print_option will fail
+        super().__setitem__(item, self._validate_input(value))
+
+    def __getitem__(self, item):
+        # ensure getter returns our own class also for scalars
+        value = super().__getitem__(item)
+        if not isinstance(value, np.ndarray):  # scalar
+            value = value.__array__().view(ComplicatedSubArray)
+        return value
+
+    @property
+    def flat(self):
+        return CSAIterator(self)
+
+    @flat.setter
+    def flat(self, value):
+        y = self.ravel()
+        y[:] = value
+
+    def __array_wrap__(self, obj, context=None, return_scalar=False):
+        obj = super().__array_wrap__(obj, context, return_scalar)
+        if context is not None and context[0] is np.multiply:
+            obj.info['multiplied'] = obj.info.get('multiplied', 0) + 1
+
+        return obj
+
+
+class WrappedArray(NDArrayOperatorsMixin):
+    """
+    Wrapping a MaskedArray rather than subclassing to test that
+    ufunc deferrals are commutative.
+    See: https://github.com/numpy/numpy/issues/15200)
+    """
+    __slots__ = ('_array', 'attrs')
+    __array_priority__ = 20
+
+    def __init__(self, array, **attrs):
+        self._array = array
+        self.attrs = attrs
+
+    def __repr__(self):
+        return f"{self.__class__.__name__}(\n{self._array}\n{self.attrs}\n)"
+
+    def __array__(self, dtype=None, copy=None):
+        return np.asarray(self._array)
+
+    def __array_ufunc__(self, ufunc, method, *inputs, **kwargs):
+        if method == '__call__':
+            inputs = [arg._array if isinstance(arg, self.__class__) else arg
+                      for arg in inputs]
+            return self.__class__(ufunc(*inputs, **kwargs), **self.attrs)
+        else:
+            return NotImplemented
+
+
+class TestSubclassing:
+    # Test suite for masked subclasses of ndarray.
+
+    def setup_method(self):
+        x = np.arange(5, dtype='float')
+        mx = msubarray(x, mask=[0, 1, 0, 0, 0])
+        self.data = (x, mx)
+
+    def test_data_subclassing(self):
+        # Tests whether the subclass is kept.
+        x = np.arange(5)
+        m = [0, 0, 1, 0, 0]
+        xsub = SubArray(x)
+        xmsub = masked_array(xsub, mask=m)
+        assert_(isinstance(xmsub, MaskedArray))
+        assert_equal(xmsub._data, xsub)
+        assert_(isinstance(xmsub._data, SubArray))
+
+    def test_maskedarray_subclassing(self):
+        # Tests subclassing MaskedArray
+        (x, mx) = self.data
+        assert_(isinstance(mx._data, subarray))
+
+    def test_masked_unary_operations(self):
+        # Tests masked_unary_operation
+        (x, mx) = self.data
+        with np.errstate(divide='ignore'):
+            assert_(isinstance(log(mx), msubarray))
+            assert_equal(log(x), np.log(x))
+
+    def test_masked_binary_operations(self):
+        # Tests masked_binary_operation
+        (x, mx) = self.data
+        # Result should be a msubarray
+        assert_(isinstance(add(mx, mx), msubarray))
+        assert_(isinstance(add(mx, x), msubarray))
+        # Result should work
+        assert_equal(add(mx, x), mx+x)
+        assert_(isinstance(add(mx, mx)._data, subarray))
+        assert_(isinstance(add.outer(mx, mx), msubarray))
+        assert_(isinstance(hypot(mx, mx), msubarray))
+        assert_(isinstance(hypot(mx, x), msubarray))
+
+    def test_masked_binary_operations2(self):
+        # Tests domained_masked_binary_operation
+        (x, mx) = self.data
+        xmx = masked_array(mx.data.__array__(), mask=mx.mask)
+        assert_(isinstance(divide(mx, mx), msubarray))
+        assert_(isinstance(divide(mx, x), msubarray))
+        assert_equal(divide(mx, mx), divide(xmx, xmx))
+
+    def test_attributepropagation(self):
+        x = array(arange(5), mask=[0]+[1]*4)
+        my = masked_array(subarray(x))
+        ym = msubarray(x)
+        #
+        z = (my+1)
+        assert_(isinstance(z, MaskedArray))
+        assert_(not isinstance(z, MSubArray))
+        assert_(isinstance(z._data, SubArray))
+        assert_equal(z._data.info, {})
+        #
+        z = (ym+1)
+        assert_(isinstance(z, MaskedArray))
+        assert_(isinstance(z, MSubArray))
+        assert_(isinstance(z._data, SubArray))
+        assert_(z._data.info['added'] > 0)
+        # Test that inplace methods from data get used (gh-4617)
+        ym += 1
+        assert_(isinstance(ym, MaskedArray))
+        assert_(isinstance(ym, MSubArray))
+        assert_(isinstance(ym._data, SubArray))
+        assert_(ym._data.info['iadded'] > 0)
+        #
+        ym._set_mask([1, 0, 0, 0, 1])
+        assert_equal(ym._mask, [1, 0, 0, 0, 1])
+        ym._series._set_mask([0, 0, 0, 0, 1])
+        assert_equal(ym._mask, [0, 0, 0, 0, 1])
+        #
+        xsub = subarray(x, info={'name':'x'})
+        mxsub = masked_array(xsub)
+        assert_(hasattr(mxsub, 'info'))
+        assert_equal(mxsub.info, xsub.info)
+
+    def test_subclasspreservation(self):
+        # Checks that masked_array(...,subok=True) preserves the class.
+        x = np.arange(5)
+        m = [0, 0, 1, 0, 0]
+        xinfo = list(zip(x, m))
+        xsub = MSubArray(x, mask=m, info={'xsub':xinfo})
+        #
+        mxsub = masked_array(xsub, subok=False)
+        assert_(not isinstance(mxsub, MSubArray))
+        assert_(isinstance(mxsub, MaskedArray))
+        assert_equal(mxsub._mask, m)
+        #
+        mxsub = asarray(xsub)
+        assert_(not isinstance(mxsub, MSubArray))
+        assert_(isinstance(mxsub, MaskedArray))
+        assert_equal(mxsub._mask, m)
+        #
+        mxsub = masked_array(xsub, subok=True)
+        assert_(isinstance(mxsub, MSubArray))
+        assert_equal(mxsub.info, xsub.info)
+        assert_equal(mxsub._mask, xsub._mask)
+        #
+        mxsub = asanyarray(xsub)
+        assert_(isinstance(mxsub, MSubArray))
+        assert_equal(mxsub.info, xsub.info)
+        assert_equal(mxsub._mask, m)
+
+    def test_subclass_items(self):
+        """test that getter and setter go via baseclass"""
+        x = np.arange(5)
+        xcsub = ComplicatedSubArray(x)
+        mxcsub = masked_array(xcsub, mask=[True, False, True, False, False])
+        # getter should  return a ComplicatedSubArray, even for single item
+        # first check we wrote ComplicatedSubArray correctly
+        assert_(isinstance(xcsub[1], ComplicatedSubArray))
+        assert_(isinstance(xcsub[1,...], ComplicatedSubArray))
+        assert_(isinstance(xcsub[1:4], ComplicatedSubArray))
+
+        # now that it propagates inside the MaskedArray
+        assert_(isinstance(mxcsub[1], ComplicatedSubArray))
+        assert_(isinstance(mxcsub[1,...].data, ComplicatedSubArray))
+        assert_(mxcsub[0] is masked)
+        assert_(isinstance(mxcsub[0,...].data, ComplicatedSubArray))
+        assert_(isinstance(mxcsub[1:4].data, ComplicatedSubArray))
+
+        # also for flattened version (which goes via MaskedIterator)
+        assert_(isinstance(mxcsub.flat[1].data, ComplicatedSubArray))
+        assert_(mxcsub.flat[0] is masked)
+        assert_(isinstance(mxcsub.flat[1:4].base, ComplicatedSubArray))
+
+        # setter should only work with ComplicatedSubArray input
+        # first check we wrote ComplicatedSubArray correctly
+        assert_raises(ValueError, xcsub.__setitem__, 1, x[4])
+        # now that it propagates inside the MaskedArray
+        assert_raises(ValueError, mxcsub.__setitem__, 1, x[4])
+        assert_raises(ValueError, mxcsub.__setitem__, slice(1, 4), x[1:4])
+        mxcsub[1] = xcsub[4]
+        mxcsub[1:4] = xcsub[1:4]
+        # also for flattened version (which goes via MaskedIterator)
+        assert_raises(ValueError, mxcsub.flat.__setitem__, 1, x[4])
+        assert_raises(ValueError, mxcsub.flat.__setitem__, slice(1, 4), x[1:4])
+        mxcsub.flat[1] = xcsub[4]
+        mxcsub.flat[1:4] = xcsub[1:4]
+
+    def test_subclass_nomask_items(self):
+        x = np.arange(5)
+        xcsub = ComplicatedSubArray(x)
+        mxcsub_nomask = masked_array(xcsub)
+
+        assert_(isinstance(mxcsub_nomask[1,...].data, ComplicatedSubArray))
+        assert_(isinstance(mxcsub_nomask[0,...].data, ComplicatedSubArray))
+
+        assert_(isinstance(mxcsub_nomask[1], ComplicatedSubArray))
+        assert_(isinstance(mxcsub_nomask[0], ComplicatedSubArray))
+
+    def test_subclass_repr(self):
+        """test that repr uses the name of the subclass
+        and 'array' for np.ndarray"""
+        x = np.arange(5)
+        mx = masked_array(x, mask=[True, False, True, False, False])
+        assert_startswith(repr(mx), 'masked_array')
+        xsub = SubArray(x)
+        mxsub = masked_array(xsub, mask=[True, False, True, False, False])
+        assert_startswith(repr(mxsub),
+            f'masked_{SubArray.__name__}(data=[--, 1, --, 3, 4]')
+
+    def test_subclass_str(self):
+        """test str with subclass that has overridden str, setitem"""
+        # first without override
+        x = np.arange(5)
+        xsub = SubArray(x)
+        mxsub = masked_array(xsub, mask=[True, False, True, False, False])
+        assert_equal(str(mxsub), '[-- 1 -- 3 4]')
+
+        xcsub = ComplicatedSubArray(x)
+        assert_raises(ValueError, xcsub.__setitem__, 0,
+                      np.ma.core.masked_print_option)
+        mxcsub = masked_array(xcsub, mask=[True, False, True, False, False])
+        assert_equal(str(mxcsub), 'myprefix [-- 1 -- 3 4] mypostfix')
+
+    def test_pure_subclass_info_preservation(self):
+        # Test that ufuncs and methods conserve extra information consistently;
+        # see gh-7122.
+        arr1 = SubMaskedArray('test', data=[1,2,3,4,5,6])
+        arr2 = SubMaskedArray(data=[0,1,2,3,4,5])
+        diff1 = np.subtract(arr1, arr2)
+        assert_('info' in diff1._optinfo)
+        assert_(diff1._optinfo['info'] == 'test')
+        diff2 = arr1 - arr2
+        assert_('info' in diff2._optinfo)
+        assert_(diff2._optinfo['info'] == 'test')
+
+
+class ArrayNoInheritance:
+    """Quantity-like class that does not inherit from ndarray"""
+    def __init__(self, data, units):
+        self.magnitude = data
+        self.units = units
+
+    def __getattr__(self, attr):
+        return getattr(self.magnitude, attr)
+
+
+def test_array_no_inheritance():
+    data_masked = np.ma.array([1, 2, 3], mask=[True, False, True])
+    data_masked_units = ArrayNoInheritance(data_masked, 'meters')
+
+    # Get the masked representation of the Quantity-like class
+    new_array = np.ma.array(data_masked_units)
+    assert_equal(data_masked.data, new_array.data)
+    assert_equal(data_masked.mask, new_array.mask)
+    # Test sharing the mask
+    data_masked.mask = [True, False, False]
+    assert_equal(data_masked.mask, new_array.mask)
+    assert_(new_array.sharedmask)
+
+    # Get the masked representation of the Quantity-like class
+    new_array = np.ma.array(data_masked_units, copy=True)
+    assert_equal(data_masked.data, new_array.data)
+    assert_equal(data_masked.mask, new_array.mask)
+    # Test that the mask is not shared when copy=True
+    data_masked.mask = [True, False, True]
+    assert_equal([True, False, False], new_array.mask)
+    assert_(not new_array.sharedmask)
+
+    # Get the masked representation of the Quantity-like class
+    new_array = np.ma.array(data_masked_units, keep_mask=False)
+    assert_equal(data_masked.data, new_array.data)
+    # The change did not affect the original mask
+    assert_equal(data_masked.mask, [True, False, True])
+    # Test that the mask is False and not shared when keep_mask=False
+    assert_(not new_array.mask)
+    assert_(not new_array.sharedmask)
+
+
+class TestClassWrapping:
+    # Test suite for classes that wrap MaskedArrays
+
+    def setup_method(self):
+        m = np.ma.masked_array([1, 3, 5], mask=[False, True, False])
+        wm = WrappedArray(m)
+        self.data = (m, wm)
+
+    def test_masked_unary_operations(self):
+        # Tests masked_unary_operation
+        (m, wm) = self.data
+        with np.errstate(divide='ignore'):
+            assert_(isinstance(np.log(wm), WrappedArray))
+
+    def test_masked_binary_operations(self):
+        # Tests masked_binary_operation
+        (m, wm) = self.data
+        # Result should be a WrappedArray
+        assert_(isinstance(np.add(wm, wm), WrappedArray))
+        assert_(isinstance(np.add(m, wm), WrappedArray))
+        assert_(isinstance(np.add(wm, m), WrappedArray))
+        # add and '+' should call the same ufunc
+        assert_equal(np.add(m, wm), m + wm)
+        assert_(isinstance(np.hypot(m, wm), WrappedArray))
+        assert_(isinstance(np.hypot(wm, m), WrappedArray))
+        # Test domained binary operations
+        assert_(isinstance(np.divide(wm, m), WrappedArray))
+        assert_(isinstance(np.divide(m, wm), WrappedArray))
+        assert_equal(np.divide(wm, m) * m, np.divide(m, m) * wm)
+        # Test broadcasting
+        m2 = np.stack([m, m])
+        assert_(isinstance(np.divide(wm, m2), WrappedArray))
+        assert_(isinstance(np.divide(m2, wm), WrappedArray))
+        assert_equal(np.divide(m2, wm), np.divide(wm, m2))
+
+    def test_mixins_have_slots(self):
+        mixin = NDArrayOperatorsMixin()
+        # Should raise an error
+        assert_raises(AttributeError, mixin.__setattr__, "not_a_real_attr", 1)
+
+        m = np.ma.masked_array([1, 3, 5], mask=[False, True, False])
+        wm = WrappedArray(m)
+        assert_raises(AttributeError, wm.__setattr__, "not_an_attr", 2)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/testutils.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/testutils.py
new file mode 100644
index 0000000000000000000000000000000000000000..c51256047c2735bdde9c5806726ba747eb3ca9b1
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/testutils.py
@@ -0,0 +1,292 @@
+"""Miscellaneous functions for testing masked arrays and subclasses
+
+:author: Pierre Gerard-Marchant
+:contact: pierregm_at_uga_dot_edu
+:version: $Id: testutils.py 3529 2007-11-13 08:01:14Z jarrod.millman $
+
+"""
+import operator
+
+import numpy as np
+from numpy import ndarray
+import numpy._core.umath as umath
+import numpy.testing
+from numpy.testing import (
+    assert_, assert_allclose, assert_array_almost_equal_nulp,
+    assert_raises, build_err_msg
+    )
+from .core import mask_or, getmask, masked_array, nomask, masked, filled
+
+__all__masked = [
+    'almost', 'approx', 'assert_almost_equal', 'assert_array_almost_equal',
+    'assert_array_approx_equal', 'assert_array_compare',
+    'assert_array_equal', 'assert_array_less', 'assert_close',
+    'assert_equal', 'assert_equal_records', 'assert_mask_equal',
+    'assert_not_equal', 'fail_if_array_equal',
+    ]
+
+# Include some normal test functions to avoid breaking other projects who
+# have mistakenly included them from this file. SciPy is one. That is
+# unfortunate, as some of these functions are not intended to work with
+# masked arrays. But there was no way to tell before.
+from unittest import TestCase
+__some__from_testing = [
+    'TestCase', 'assert_', 'assert_allclose', 'assert_array_almost_equal_nulp',
+    'assert_raises'
+    ]
+
+__all__ = __all__masked + __some__from_testing
+
+
+def approx(a, b, fill_value=True, rtol=1e-5, atol=1e-8):
+    """
+    Returns true if all components of a and b are equal to given tolerances.
+
+    If fill_value is True, masked values considered equal. Otherwise,
+    masked values are considered unequal.  The relative error rtol should
+    be positive and << 1.0 The absolute error atol comes into play for
+    those elements of b that are very small or zero; it says how small a
+    must be also.
+
+    """
+    m = mask_or(getmask(a), getmask(b))
+    d1 = filled(a)
+    d2 = filled(b)
+    if d1.dtype.char == "O" or d2.dtype.char == "O":
+        return np.equal(d1, d2).ravel()
+    x = filled(
+        masked_array(d1, copy=False, mask=m), fill_value
+    ).astype(np.float64)
+    y = filled(masked_array(d2, copy=False, mask=m), 1).astype(np.float64)
+    d = np.less_equal(umath.absolute(x - y), atol + rtol * umath.absolute(y))
+    return d.ravel()
+
+
+def almost(a, b, decimal=6, fill_value=True):
+    """
+    Returns True if a and b are equal up to decimal places.
+
+    If fill_value is True, masked values considered equal. Otherwise,
+    masked values are considered unequal.
+
+    """
+    m = mask_or(getmask(a), getmask(b))
+    d1 = filled(a)
+    d2 = filled(b)
+    if d1.dtype.char == "O" or d2.dtype.char == "O":
+        return np.equal(d1, d2).ravel()
+    x = filled(
+        masked_array(d1, copy=False, mask=m), fill_value
+    ).astype(np.float64)
+    y = filled(masked_array(d2, copy=False, mask=m), 1).astype(np.float64)
+    d = np.around(np.abs(x - y), decimal) <= 10.0 ** (-decimal)
+    return d.ravel()
+
+
+def _assert_equal_on_sequences(actual, desired, err_msg=''):
+    """
+    Asserts the equality of two non-array sequences.
+
+    """
+    assert_equal(len(actual), len(desired), err_msg)
+    for k in range(len(desired)):
+        assert_equal(actual[k], desired[k], f'item={k!r}\n{err_msg}')
+    return
+
+
+def assert_equal_records(a, b):
+    """
+    Asserts that two records are equal.
+
+    Pretty crude for now.
+
+    """
+    assert_equal(a.dtype, b.dtype)
+    for f in a.dtype.names:
+        (af, bf) = (operator.getitem(a, f), operator.getitem(b, f))
+        if not (af is masked) and not (bf is masked):
+            assert_equal(operator.getitem(a, f), operator.getitem(b, f))
+    return
+
+
+def assert_equal(actual, desired, err_msg=''):
+    """
+    Asserts that two items are equal.
+
+    """
+    # Case #1: dictionary .....
+    if isinstance(desired, dict):
+        if not isinstance(actual, dict):
+            raise AssertionError(repr(type(actual)))
+        assert_equal(len(actual), len(desired), err_msg)
+        for k, i in desired.items():
+            if k not in actual:
+                raise AssertionError(f"{k} not in {actual}")
+            assert_equal(actual[k], desired[k], f'key={k!r}\n{err_msg}')
+        return
+    # Case #2: lists .....
+    if isinstance(desired, (list, tuple)) and isinstance(actual, (list, tuple)):
+        return _assert_equal_on_sequences(actual, desired, err_msg='')
+    if not (isinstance(actual, ndarray) or isinstance(desired, ndarray)):
+        msg = build_err_msg([actual, desired], err_msg,)
+        if not desired == actual:
+            raise AssertionError(msg)
+        return
+    # Case #4. arrays or equivalent
+    if ((actual is masked) and not (desired is masked)) or \
+            ((desired is masked) and not (actual is masked)):
+        msg = build_err_msg([actual, desired],
+                            err_msg, header='', names=('x', 'y'))
+        raise ValueError(msg)
+    actual = np.asanyarray(actual)
+    desired = np.asanyarray(desired)
+    (actual_dtype, desired_dtype) = (actual.dtype, desired.dtype)
+    if actual_dtype.char == "S" and desired_dtype.char == "S":
+        return _assert_equal_on_sequences(actual.tolist(),
+                                          desired.tolist(),
+                                          err_msg='')
+    return assert_array_equal(actual, desired, err_msg)
+
+
+def fail_if_equal(actual, desired, err_msg='',):
+    """
+    Raises an assertion error if two items are equal.
+
+    """
+    if isinstance(desired, dict):
+        if not isinstance(actual, dict):
+            raise AssertionError(repr(type(actual)))
+        fail_if_equal(len(actual), len(desired), err_msg)
+        for k, i in desired.items():
+            if k not in actual:
+                raise AssertionError(repr(k))
+            fail_if_equal(actual[k], desired[k], f'key={k!r}\n{err_msg}')
+        return
+    if isinstance(desired, (list, tuple)) and isinstance(actual, (list, tuple)):
+        fail_if_equal(len(actual), len(desired), err_msg)
+        for k in range(len(desired)):
+            fail_if_equal(actual[k], desired[k], f'item={k!r}\n{err_msg}')
+        return
+    if isinstance(actual, np.ndarray) or isinstance(desired, np.ndarray):
+        return fail_if_array_equal(actual, desired, err_msg)
+    msg = build_err_msg([actual, desired], err_msg)
+    if not desired != actual:
+        raise AssertionError(msg)
+
+
+assert_not_equal = fail_if_equal
+
+
+def assert_almost_equal(actual, desired, decimal=7, err_msg='', verbose=True):
+    """
+    Asserts that two items are almost equal.
+
+    The test is equivalent to abs(desired-actual) < 0.5 * 10**(-decimal).
+
+    """
+    if isinstance(actual, np.ndarray) or isinstance(desired, np.ndarray):
+        return assert_array_almost_equal(actual, desired, decimal=decimal,
+                                         err_msg=err_msg, verbose=verbose)
+    msg = build_err_msg([actual, desired],
+                        err_msg=err_msg, verbose=verbose)
+    if not round(abs(desired - actual), decimal) == 0:
+        raise AssertionError(msg)
+
+
+assert_close = assert_almost_equal
+
+
+def assert_array_compare(comparison, x, y, err_msg='', verbose=True, header='',
+                         fill_value=True):
+    """
+    Asserts that comparison between two masked arrays is satisfied.
+
+    The comparison is elementwise.
+
+    """
+    # Allocate a common mask and refill
+    m = mask_or(getmask(x), getmask(y))
+    x = masked_array(x, copy=False, mask=m, keep_mask=False, subok=False)
+    y = masked_array(y, copy=False, mask=m, keep_mask=False, subok=False)
+    if ((x is masked) and not (y is masked)) or \
+            ((y is masked) and not (x is masked)):
+        msg = build_err_msg([x, y], err_msg=err_msg, verbose=verbose,
+                            header=header, names=('x', 'y'))
+        raise ValueError(msg)
+    # OK, now run the basic tests on filled versions
+    return np.testing.assert_array_compare(comparison,
+                                           x.filled(fill_value),
+                                           y.filled(fill_value),
+                                           err_msg=err_msg,
+                                           verbose=verbose, header=header)
+
+
+def assert_array_equal(x, y, err_msg='', verbose=True):
+    """
+    Checks the elementwise equality of two masked arrays.
+
+    """
+    assert_array_compare(operator.__eq__, x, y,
+                         err_msg=err_msg, verbose=verbose,
+                         header='Arrays are not equal')
+
+
+def fail_if_array_equal(x, y, err_msg='', verbose=True):
+    """
+    Raises an assertion error if two masked arrays are not equal elementwise.
+
+    """
+    def compare(x, y):
+        return (not np.all(approx(x, y)))
+    assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose,
+                         header='Arrays are not equal')
+
+
+def assert_array_approx_equal(x, y, decimal=6, err_msg='', verbose=True):
+    """
+    Checks the equality of two masked arrays, up to given number odecimals.
+
+    The equality is checked elementwise.
+
+    """
+    def compare(x, y):
+        "Returns the result of the loose comparison between x and y)."
+        return approx(x, y, rtol=10. ** -decimal)
+    assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose,
+                         header='Arrays are not almost equal')
+
+
+def assert_array_almost_equal(x, y, decimal=6, err_msg='', verbose=True):
+    """
+    Checks the equality of two masked arrays, up to given number odecimals.
+
+    The equality is checked elementwise.
+
+    """
+    def compare(x, y):
+        "Returns the result of the loose comparison between x and y)."
+        return almost(x, y, decimal)
+    assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose,
+                         header='Arrays are not almost equal')
+
+
+def assert_array_less(x, y, err_msg='', verbose=True):
+    """
+    Checks that x is smaller than y elementwise.
+
+    """
+    assert_array_compare(operator.__lt__, x, y,
+                         err_msg=err_msg, verbose=verbose,
+                         header='Arrays are not less-ordered')
+
+
+def assert_mask_equal(m1, m2, err_msg=''):
+    """
+    Asserts the equality of two masks.
+
+    """
+    if m1 is nomask:
+        assert_(m2 is nomask)
+    if m2 is nomask:
+        assert_(m1 is nomask)
+    assert_array_equal(m1, m2, err_msg=err_msg)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/timer_comparison.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/timer_comparison.py
new file mode 100644
index 0000000000000000000000000000000000000000..9c157308fcbd9ef7dbe8376720f0d651c9f4722d
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/ma/timer_comparison.py
@@ -0,0 +1,442 @@
+import functools
+import timeit
+
+import numpy as np
+import numpy._core.fromnumeric as fromnumeric
+
+from numpy.testing import build_err_msg
+
+
+pi = np.pi
+
+class ModuleTester:
+    def __init__(self, module):
+        self.module = module
+        self.allequal = module.allequal
+        self.arange = module.arange
+        self.array = module.array
+        self.concatenate = module.concatenate
+        self.count = module.count
+        self.equal = module.equal
+        self.filled = module.filled
+        self.getmask = module.getmask
+        self.getmaskarray = module.getmaskarray
+        self.id = id
+        self.inner = module.inner
+        self.make_mask = module.make_mask
+        self.masked = module.masked
+        self.masked_array = module.masked_array
+        self.masked_values = module.masked_values
+        self.mask_or = module.mask_or
+        self.nomask = module.nomask
+        self.ones = module.ones
+        self.outer = module.outer
+        self.repeat = module.repeat
+        self.resize = module.resize
+        self.sort = module.sort
+        self.take = module.take
+        self.transpose = module.transpose
+        self.zeros = module.zeros
+        self.MaskType = module.MaskType
+        try:
+            self.umath = module.umath
+        except AttributeError:
+            self.umath = module.core.umath
+        self.testnames = []
+
+    def assert_array_compare(self, comparison, x, y, err_msg='', header='',
+                         fill_value=True):
+        """
+        Assert that a comparison of two masked arrays is satisfied elementwise.
+
+        """
+        xf = self.filled(x)
+        yf = self.filled(y)
+        m = self.mask_or(self.getmask(x), self.getmask(y))
+
+        x = self.filled(self.masked_array(xf, mask=m), fill_value)
+        y = self.filled(self.masked_array(yf, mask=m), fill_value)
+        if (x.dtype.char != "O"):
+            x = x.astype(np.float64)
+            if isinstance(x, np.ndarray) and x.size > 1:
+                x[np.isnan(x)] = 0
+            elif np.isnan(x):
+                x = 0
+        if (y.dtype.char != "O"):
+            y = y.astype(np.float64)
+            if isinstance(y, np.ndarray) and y.size > 1:
+                y[np.isnan(y)] = 0
+            elif np.isnan(y):
+                y = 0
+        try:
+            cond = (x.shape == () or y.shape == ()) or x.shape == y.shape
+            if not cond:
+                msg = build_err_msg([x, y],
+                                    err_msg
+                                    + f'\n(shapes {x.shape}, {y.shape} mismatch)',
+                                    header=header,
+                                    names=('x', 'y'))
+                assert cond, msg
+            val = comparison(x, y)
+            if m is not self.nomask and fill_value:
+                val = self.masked_array(val, mask=m)
+            if isinstance(val, bool):
+                cond = val
+                reduced = [0]
+            else:
+                reduced = val.ravel()
+                cond = reduced.all()
+                reduced = reduced.tolist()
+            if not cond:
+                match = 100-100.0*reduced.count(1)/len(reduced)
+                msg = build_err_msg([x, y],
+                                    err_msg
+                                    + '\n(mismatch %s%%)' % (match,),
+                                    header=header,
+                                    names=('x', 'y'))
+                assert cond, msg
+        except ValueError as e:
+            msg = build_err_msg([x, y], err_msg, header=header, names=('x', 'y'))
+            raise ValueError(msg) from e
+
+    def assert_array_equal(self, x, y, err_msg=''):
+        """
+        Checks the elementwise equality of two masked arrays.
+
+        """
+        self.assert_array_compare(self.equal, x, y, err_msg=err_msg,
+                                  header='Arrays are not equal')
+
+    @np.errstate(all='ignore')
+    def test_0(self):
+        """
+        Tests creation
+
+        """
+        x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.])
+        m = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]
+        xm = self.masked_array(x, mask=m)
+        xm[0]
+
+    @np.errstate(all='ignore')
+    def test_1(self):
+        """
+        Tests creation
+
+        """
+        x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.])
+        y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.])
+        m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]
+        m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1]
+        xm = self.masked_array(x, mask=m1)
+        ym = self.masked_array(y, mask=m2)
+        xf = np.where(m1, 1.e+20, x)
+        xm.set_fill_value(1.e+20)
+
+        assert (xm-ym).filled(0).any()
+        s = x.shape
+        assert xm.size == functools.reduce(lambda x, y: x*y, s)
+        assert self.count(xm) == len(m1) - functools.reduce(lambda x, y: x+y, m1)
+
+        for s in [(4, 3), (6, 2)]:
+            x.shape = s
+            y.shape = s
+            xm.shape = s
+            ym.shape = s
+            xf.shape = s
+            assert self.count(xm) == len(m1) - functools.reduce(lambda x, y: x+y, m1)
+
+    @np.errstate(all='ignore')
+    def test_2(self):
+        """
+        Tests conversions and indexing.
+
+        """
+        x1 = np.array([1, 2, 4, 3])
+        x2 = self.array(x1, mask=[1, 0, 0, 0])
+        x3 = self.array(x1, mask=[0, 1, 0, 1])
+        x4 = self.array(x1)
+        # test conversion to strings, no errors
+        str(x2)
+        repr(x2)
+        # tests of indexing
+        assert type(x2[1]) is type(x1[1])
+        assert x1[1] == x2[1]
+        x1[2] = 9
+        x2[2] = 9
+        self.assert_array_equal(x1, x2)
+        x1[1:3] = 99
+        x2[1:3] = 99
+        x2[1] = self.masked
+        x2[1:3] = self.masked
+        x2[:] = x1
+        x2[1] = self.masked
+        x3[:] = self.masked_array([1, 2, 3, 4], [0, 1, 1, 0])
+        x4[:] = self.masked_array([1, 2, 3, 4], [0, 1, 1, 0])
+        x1 = np.arange(5)*1.0
+        x2 = self.masked_values(x1, 3.0)
+        x1 = self.array([1, 'hello', 2, 3], object)
+        x2 = np.array([1, 'hello', 2, 3], object)
+        # check that no error occurs.
+        x1[1]
+        x2[1]
+        assert x1[1:1].shape == (0,)
+        # Tests copy-size
+        n = [0, 0, 1, 0, 0]
+        m = self.make_mask(n)
+        m2 = self.make_mask(m)
+        assert(m is m2)
+        m3 = self.make_mask(m, copy=1)
+        assert(m is not m3)
+
+    @np.errstate(all='ignore')
+    def test_3(self):
+        """
+        Tests resize/repeat
+
+        """
+        x4 = self.arange(4)
+        x4[2] = self.masked
+        y4 = self.resize(x4, (8,))
+        assert self.allequal(self.concatenate([x4, x4]), y4)
+        assert self.allequal(self.getmask(y4), [0, 0, 1, 0, 0, 0, 1, 0])
+        y5 = self.repeat(x4, (2, 2, 2, 2), axis=0)
+        self.assert_array_equal(y5, [0, 0, 1, 1, 2, 2, 3, 3])
+        y6 = self.repeat(x4, 2, axis=0)
+        assert self.allequal(y5, y6)
+        y7 = x4.repeat((2, 2, 2, 2), axis=0)
+        assert self.allequal(y5, y7)
+        y8 = x4.repeat(2, 0)
+        assert self.allequal(y5, y8)
+
+    @np.errstate(all='ignore')
+    def test_4(self):
+        """
+        Test of take, transpose, inner, outer products.
+
+        """
+        x = self.arange(24)
+        y = np.arange(24)
+        x[5:6] = self.masked
+        x = x.reshape(2, 3, 4)
+        y = y.reshape(2, 3, 4)
+        assert self.allequal(np.transpose(y, (2, 0, 1)), self.transpose(x, (2, 0, 1)))
+        assert self.allequal(np.take(y, (2, 0, 1), 1), self.take(x, (2, 0, 1), 1))
+        assert self.allequal(np.inner(self.filled(x, 0), self.filled(y, 0)),
+                            self.inner(x, y))
+        assert self.allequal(np.outer(self.filled(x, 0), self.filled(y, 0)),
+                            self.outer(x, y))
+        y = self.array(['abc', 1, 'def', 2, 3], object)
+        y[2] = self.masked
+        t = self.take(y, [0, 3, 4])
+        assert t[0] == 'abc'
+        assert t[1] == 2
+        assert t[2] == 3
+
+    @np.errstate(all='ignore')
+    def test_5(self):
+        """
+        Tests inplace w/ scalar
+
+        """
+        x = self.arange(10)
+        y = self.arange(10)
+        xm = self.arange(10)
+        xm[2] = self.masked
+        x += 1
+        assert self.allequal(x, y+1)
+        xm += 1
+        assert self.allequal(xm, y+1)
+
+        x = self.arange(10)
+        xm = self.arange(10)
+        xm[2] = self.masked
+        x -= 1
+        assert self.allequal(x, y-1)
+        xm -= 1
+        assert self.allequal(xm, y-1)
+
+        x = self.arange(10)*1.0
+        xm = self.arange(10)*1.0
+        xm[2] = self.masked
+        x *= 2.0
+        assert self.allequal(x, y*2)
+        xm *= 2.0
+        assert self.allequal(xm, y*2)
+
+        x = self.arange(10)*2
+        xm = self.arange(10)*2
+        xm[2] = self.masked
+        x /= 2
+        assert self.allequal(x, y)
+        xm /= 2
+        assert self.allequal(xm, y)
+
+        x = self.arange(10)*1.0
+        xm = self.arange(10)*1.0
+        xm[2] = self.masked
+        x /= 2.0
+        assert self.allequal(x, y/2.0)
+        xm /= self.arange(10)
+        self.assert_array_equal(xm, self.ones((10,)))
+
+        x = self.arange(10).astype(np.float64)
+        xm = self.arange(10)
+        xm[2] = self.masked
+        x += 1.
+        assert self.allequal(x, y + 1.)
+
+    @np.errstate(all='ignore')
+    def test_6(self):
+        """
+        Tests inplace w/ array
+
+        """
+        x = self.arange(10, dtype=np.float64)
+        y = self.arange(10)
+        xm = self.arange(10, dtype=np.float64)
+        xm[2] = self.masked
+        m = xm.mask
+        a = self.arange(10, dtype=np.float64)
+        a[-1] = self.masked
+        x += a
+        xm += a
+        assert self.allequal(x, y+a)
+        assert self.allequal(xm, y+a)
+        assert self.allequal(xm.mask, self.mask_or(m, a.mask))
+
+        x = self.arange(10, dtype=np.float64)
+        xm = self.arange(10, dtype=np.float64)
+        xm[2] = self.masked
+        m = xm.mask
+        a = self.arange(10, dtype=np.float64)
+        a[-1] = self.masked
+        x -= a
+        xm -= a
+        assert self.allequal(x, y-a)
+        assert self.allequal(xm, y-a)
+        assert self.allequal(xm.mask, self.mask_or(m, a.mask))
+
+        x = self.arange(10, dtype=np.float64)
+        xm = self.arange(10, dtype=np.float64)
+        xm[2] = self.masked
+        m = xm.mask
+        a = self.arange(10, dtype=np.float64)
+        a[-1] = self.masked
+        x *= a
+        xm *= a
+        assert self.allequal(x, y*a)
+        assert self.allequal(xm, y*a)
+        assert self.allequal(xm.mask, self.mask_or(m, a.mask))
+
+        x = self.arange(10, dtype=np.float64)
+        xm = self.arange(10, dtype=np.float64)
+        xm[2] = self.masked
+        m = xm.mask
+        a = self.arange(10, dtype=np.float64)
+        a[-1] = self.masked
+        x /= a
+        xm /= a
+
+    @np.errstate(all='ignore')
+    def test_7(self):
+        "Tests ufunc"
+        d = (self.array([1.0, 0, -1, pi/2]*2, mask=[0, 1]+[0]*6),
+             self.array([1.0, 0, -1, pi/2]*2, mask=[1, 0]+[0]*6),)
+        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
+#                  'sin', 'cos', 'tan',
+#                  'arcsin', 'arccos', 'arctan',
+#                  'sinh', 'cosh', 'tanh',
+#                  'arcsinh',
+#                  'arccosh',
+#                  'arctanh',
+#                  'absolute', 'fabs', 'negative',
+#                  # 'nonzero', 'around',
+#                  'floor', 'ceil',
+#                  # 'sometrue', 'alltrue',
+#                  'logical_not',
+#                  'add', 'subtract', 'multiply',
+#                  'divide', 'true_divide', 'floor_divide',
+#                  'remainder', 'fmod', 'hypot', 'arctan2',
+#                  'equal', 'not_equal', 'less_equal', 'greater_equal',
+#                  'less', 'greater',
+#                  'logical_and', 'logical_or', 'logical_xor',
+                  ]:
+            try:
+                uf = getattr(self.umath, f)
+            except AttributeError:
+                uf = getattr(fromnumeric, f)
+            mf = getattr(self.module, f)
+            args = d[:uf.nin]
+            ur = uf(*args)
+            mr = mf(*args)
+            self.assert_array_equal(ur.filled(0), mr.filled(0), f)
+            self.assert_array_equal(ur._mask, mr._mask)
+
+    @np.errstate(all='ignore')
+    def test_99(self):
+        # test average
+        ott = self.array([0., 1., 2., 3.], mask=[1, 0, 0, 0])
+        self.assert_array_equal(2.0, self.average(ott, axis=0))
+        self.assert_array_equal(2.0, self.average(ott, weights=[1., 1., 2., 1.]))
+        result, wts = self.average(ott, weights=[1., 1., 2., 1.], returned=1)
+        self.assert_array_equal(2.0, result)
+        assert(wts == 4.0)
+        ott[:] = self.masked
+        assert(self.average(ott, axis=0) is self.masked)
+        ott = self.array([0., 1., 2., 3.], mask=[1, 0, 0, 0])
+        ott = ott.reshape(2, 2)
+        ott[:, 1] = self.masked
+        self.assert_array_equal(self.average(ott, axis=0), [2.0, 0.0])
+        assert(self.average(ott, axis=1)[0] is self.masked)
+        self.assert_array_equal([2., 0.], self.average(ott, axis=0))
+        result, wts = self.average(ott, axis=0, returned=1)
+        self.assert_array_equal(wts, [1., 0.])
+        w1 = [0, 1, 1, 1, 1, 0]
+        w2 = [[0, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1]]
+        x = self.arange(6)
+        self.assert_array_equal(self.average(x, axis=0), 2.5)
+        self.assert_array_equal(self.average(x, axis=0, weights=w1), 2.5)
+        y = self.array([self.arange(6), 2.0*self.arange(6)])
+        self.assert_array_equal(self.average(y, None), np.add.reduce(np.arange(6))*3./12.)
+        self.assert_array_equal(self.average(y, axis=0), np.arange(6) * 3./2.)
+        self.assert_array_equal(self.average(y, axis=1), [self.average(x, axis=0), self.average(x, axis=0) * 2.0])
+        self.assert_array_equal(self.average(y, None, weights=w2), 20./6.)
+        self.assert_array_equal(self.average(y, axis=0, weights=w2), [0., 1., 2., 3., 4., 10.])
+        self.assert_array_equal(self.average(y, axis=1), [self.average(x, axis=0), self.average(x, axis=0) * 2.0])
+        m1 = self.zeros(6)
+        m2 = [0, 0, 1, 1, 0, 0]
+        m3 = [[0, 0, 1, 1, 0, 0], [0, 1, 1, 1, 1, 0]]
+        m4 = self.ones(6)
+        m5 = [0, 1, 1, 1, 1, 1]
+        self.assert_array_equal(self.average(self.masked_array(x, m1), axis=0), 2.5)
+        self.assert_array_equal(self.average(self.masked_array(x, m2), axis=0), 2.5)
+        self.assert_array_equal(self.average(self.masked_array(x, m5), axis=0), 0.0)
+        self.assert_array_equal(self.count(self.average(self.masked_array(x, m4), axis=0)), 0)
+        z = self.masked_array(y, m3)
+        self.assert_array_equal(self.average(z, None), 20./6.)
+        self.assert_array_equal(self.average(z, axis=0), [0., 1., 99., 99., 4.0, 7.5])
+        self.assert_array_equal(self.average(z, axis=1), [2.5, 5.0])
+        self.assert_array_equal(self.average(z, axis=0, weights=w2), [0., 1., 99., 99., 4.0, 10.0])
+
+    @np.errstate(all='ignore')
+    def test_A(self):
+        x = self.arange(24)
+        x[5:6] = self.masked
+        x = x.reshape(2, 3, 4)
+
+
+if __name__ == '__main__':
+    setup_base = ("from __main__ import ModuleTester \n"
+                  "import numpy\n"
+                  "tester = ModuleTester(module)\n")
+    setup_cur = "import numpy.ma.core as module\n" + setup_base
+    (nrepeat, nloop) = (10, 10)
+
+    for i in range(1, 8):
+        func = 'tester.test_%i()' % i
+        cur = timeit.Timer(func, setup_cur).repeat(nrepeat, nloop*10)
+        cur = np.sort(cur)
+        print("#%i" % i + 50*'.')
+        print(eval("ModuleTester.test_%i.__doc__" % i))
+        print(f'core_current : {cur[0]:.3f} - {cur[1]:.3f}')
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matlib.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matlib.py
new file mode 100644
index 0000000000000000000000000000000000000000..7ee194d56b4187e36e5d1727d3853564bf5b37c0
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matlib.py
@@ -0,0 +1,379 @@
+import warnings
+
+# 2018-05-29, PendingDeprecationWarning added to matrix.__new__
+# 2020-01-23, numpy 1.19.0 PendingDeprecatonWarning
+warnings.warn("Importing from numpy.matlib is deprecated since 1.19.0. "
+              "The matrix subclass is not the recommended way to represent "
+              "matrices or deal with linear algebra (see "
+              "https://docs.scipy.org/doc/numpy/user/numpy-for-matlab-users.html). "
+              "Please adjust your code to use regular ndarray. ",
+              PendingDeprecationWarning, stacklevel=2)
+
+import numpy as np
+from numpy.matrixlib.defmatrix import matrix, asmatrix
+# Matlib.py contains all functions in the numpy namespace with a few
+# replacements. See doc/source/reference/routines.matlib.rst for details.
+# Need * as we're copying the numpy namespace.
+from numpy import *  # noqa: F403
+
+__version__ = np.__version__
+
+__all__ = np.__all__[:] # copy numpy namespace
+__all__ += ['rand', 'randn', 'repmat']
+
+def empty(shape, dtype=None, order='C'):
+    """Return a new matrix of given shape and type, without initializing entries.
+
+    Parameters
+    ----------
+    shape : int or tuple of int
+        Shape of the empty matrix.
+    dtype : data-type, optional
+        Desired output data-type.
+    order : {'C', 'F'}, optional
+        Whether to store multi-dimensional data in row-major
+        (C-style) or column-major (Fortran-style) order in
+        memory.
+
+    See Also
+    --------
+    numpy.empty : Equivalent array function.
+    matlib.zeros : Return a matrix of zeros.
+    matlib.ones : Return a matrix of ones.
+
+    Notes
+    -----
+    Unlike other matrix creation functions (e.g. `matlib.zeros`,
+    `matlib.ones`), `matlib.empty` does not initialize the values of the
+    matrix, and may therefore be marginally faster. However, the values
+    stored in the newly allocated matrix are arbitrary. For reproducible
+    behavior, be sure to set each element of the matrix before reading.
+
+    Examples
+    --------
+    >>> import numpy.matlib
+    >>> np.matlib.empty((2, 2))    # filled with random data
+    matrix([[  6.76425276e-320,   9.79033856e-307], # random
+            [  7.39337286e-309,   3.22135945e-309]])
+    >>> np.matlib.empty((2, 2), dtype=int)
+    matrix([[ 6600475,        0], # random
+            [ 6586976, 22740995]])
+
+    """
+    return ndarray.__new__(matrix, shape, dtype, order=order)
+
+def ones(shape, dtype=None, order='C'):
+    """
+    Matrix of ones.
+
+    Return a matrix of given shape and type, filled with ones.
+
+    Parameters
+    ----------
+    shape : {sequence of ints, int}
+        Shape of the matrix
+    dtype : data-type, optional
+        The desired data-type for the matrix, default is np.float64.
+    order : {'C', 'F'}, optional
+        Whether to store matrix in C- or Fortran-contiguous order,
+        default is 'C'.
+
+    Returns
+    -------
+    out : matrix
+        Matrix of ones of given shape, dtype, and order.
+
+    See Also
+    --------
+    ones : Array of ones.
+    matlib.zeros : Zero matrix.
+
+    Notes
+    -----
+    If `shape` has length one i.e. ``(N,)``, or is a scalar ``N``,
+    `out` becomes a single row matrix of shape ``(1,N)``.
+
+    Examples
+    --------
+    >>> np.matlib.ones((2,3))
+    matrix([[1.,  1.,  1.],
+            [1.,  1.,  1.]])
+
+    >>> np.matlib.ones(2)
+    matrix([[1.,  1.]])
+
+    """
+    a = ndarray.__new__(matrix, shape, dtype, order=order)
+    a.fill(1)
+    return a
+
+def zeros(shape, dtype=None, order='C'):
+    """
+    Return a matrix of given shape and type, filled with zeros.
+
+    Parameters
+    ----------
+    shape : int or sequence of ints
+        Shape of the matrix
+    dtype : data-type, optional
+        The desired data-type for the matrix, default is float.
+    order : {'C', 'F'}, optional
+        Whether to store the result in C- or Fortran-contiguous order,
+        default is 'C'.
+
+    Returns
+    -------
+    out : matrix
+        Zero matrix of given shape, dtype, and order.
+
+    See Also
+    --------
+    numpy.zeros : Equivalent array function.
+    matlib.ones : Return a matrix of ones.
+
+    Notes
+    -----
+    If `shape` has length one i.e. ``(N,)``, or is a scalar ``N``,
+    `out` becomes a single row matrix of shape ``(1,N)``.
+
+    Examples
+    --------
+    >>> import numpy.matlib
+    >>> np.matlib.zeros((2, 3))
+    matrix([[0.,  0.,  0.],
+            [0.,  0.,  0.]])
+
+    >>> np.matlib.zeros(2)
+    matrix([[0.,  0.]])
+
+    """
+    a = ndarray.__new__(matrix, shape, dtype, order=order)
+    a.fill(0)
+    return a
+
+def identity(n,dtype=None):
+    """
+    Returns the square identity matrix of given size.
+
+    Parameters
+    ----------
+    n : int
+        Size of the returned identity matrix.
+    dtype : data-type, optional
+        Data-type of the output. Defaults to ``float``.
+
+    Returns
+    -------
+    out : matrix
+        `n` x `n` matrix with its main diagonal set to one,
+        and all other elements zero.
+
+    See Also
+    --------
+    numpy.identity : Equivalent array function.
+    matlib.eye : More general matrix identity function.
+
+    Examples
+    --------
+    >>> import numpy.matlib
+    >>> np.matlib.identity(3, dtype=int)
+    matrix([[1, 0, 0],
+            [0, 1, 0],
+            [0, 0, 1]])
+
+    """
+    a = array([1]+n*[0], dtype=dtype)
+    b = empty((n, n), dtype=dtype)
+    b.flat = a
+    return b
+
+def eye(n,M=None, k=0, dtype=float, order='C'):
+    """
+    Return a matrix with ones on the diagonal and zeros elsewhere.
+
+    Parameters
+    ----------
+    n : int
+        Number of rows in the output.
+    M : int, optional
+        Number of columns in the output, defaults to `n`.
+    k : int, optional
+        Index of the diagonal: 0 refers to the main diagonal,
+        a positive value refers to an upper diagonal,
+        and a negative value to a lower diagonal.
+    dtype : dtype, optional
+        Data-type of the returned matrix.
+    order : {'C', 'F'}, optional
+        Whether the output should be stored in row-major (C-style) or
+        column-major (Fortran-style) order in memory.
+
+    Returns
+    -------
+    I : matrix
+        A `n` x `M` matrix where all elements are equal to zero,
+        except for the `k`-th diagonal, whose values are equal to one.
+
+    See Also
+    --------
+    numpy.eye : Equivalent array function.
+    identity : Square identity matrix.
+
+    Examples
+    --------
+    >>> import numpy.matlib
+    >>> np.matlib.eye(3, k=1, dtype=float)
+    matrix([[0.,  1.,  0.],
+            [0.,  0.,  1.],
+            [0.,  0.,  0.]])
+
+    """
+    return asmatrix(np.eye(n, M=M, k=k, dtype=dtype, order=order))
+
+def rand(*args):
+    """
+    Return a matrix of random values with given shape.
+
+    Create a matrix of the given shape and propagate it with
+    random samples from a uniform distribution over ``[0, 1)``.
+
+    Parameters
+    ----------
+    \\*args : Arguments
+        Shape of the output.
+        If given as N integers, each integer specifies the size of one
+        dimension.
+        If given as a tuple, this tuple gives the complete shape.
+
+    Returns
+    -------
+    out : ndarray
+        The matrix of random values with shape given by `\\*args`.
+
+    See Also
+    --------
+    randn, numpy.random.RandomState.rand
+
+    Examples
+    --------
+    >>> np.random.seed(123)
+    >>> import numpy.matlib
+    >>> np.matlib.rand(2, 3)
+    matrix([[0.69646919, 0.28613933, 0.22685145],
+            [0.55131477, 0.71946897, 0.42310646]])
+    >>> np.matlib.rand((2, 3))
+    matrix([[0.9807642 , 0.68482974, 0.4809319 ],
+            [0.39211752, 0.34317802, 0.72904971]])
+
+    If the first argument is a tuple, other arguments are ignored:
+
+    >>> np.matlib.rand((2, 3), 4)
+    matrix([[0.43857224, 0.0596779 , 0.39804426],
+            [0.73799541, 0.18249173, 0.17545176]])
+
+    """
+    if isinstance(args[0], tuple):
+        args = args[0]
+    return asmatrix(np.random.rand(*args))
+
+def randn(*args):
+    """
+    Return a random matrix with data from the "standard normal" distribution.
+
+    `randn` generates a matrix filled with random floats sampled from a
+    univariate "normal" (Gaussian) distribution of mean 0 and variance 1.
+
+    Parameters
+    ----------
+    \\*args : Arguments
+        Shape of the output.
+        If given as N integers, each integer specifies the size of one
+        dimension. If given as a tuple, this tuple gives the complete shape.
+
+    Returns
+    -------
+    Z : matrix of floats
+        A matrix of floating-point samples drawn from the standard normal
+        distribution.
+
+    See Also
+    --------
+    rand, numpy.random.RandomState.randn
+
+    Notes
+    -----
+    For random samples from the normal distribution with mean ``mu`` and
+    standard deviation ``sigma``, use::
+
+        sigma * np.matlib.randn(...) + mu
+
+    Examples
+    --------
+    >>> np.random.seed(123)
+    >>> import numpy.matlib
+    >>> np.matlib.randn(1)
+    matrix([[-1.0856306]])
+    >>> np.matlib.randn(1, 2, 3)
+    matrix([[ 0.99734545,  0.2829785 , -1.50629471],
+            [-0.57860025,  1.65143654, -2.42667924]])
+
+    Two-by-four matrix of samples from the normal distribution with
+    mean 3 and standard deviation 2.5:
+
+    >>> 2.5 * np.matlib.randn((2, 4)) + 3
+    matrix([[1.92771843, 6.16484065, 0.83314899, 1.30278462],
+            [2.76322758, 6.72847407, 1.40274501, 1.8900451 ]])
+
+    """
+    if isinstance(args[0], tuple):
+        args = args[0]
+    return asmatrix(np.random.randn(*args))
+
+def repmat(a, m, n):
+    """
+    Repeat a 0-D to 2-D array or matrix MxN times.
+
+    Parameters
+    ----------
+    a : array_like
+        The array or matrix to be repeated.
+    m, n : int
+        The number of times `a` is repeated along the first and second axes.
+
+    Returns
+    -------
+    out : ndarray
+        The result of repeating `a`.
+
+    Examples
+    --------
+    >>> import numpy.matlib
+    >>> a0 = np.array(1)
+    >>> np.matlib.repmat(a0, 2, 3)
+    array([[1, 1, 1],
+           [1, 1, 1]])
+
+    >>> a1 = np.arange(4)
+    >>> np.matlib.repmat(a1, 2, 2)
+    array([[0, 1, 2, 3, 0, 1, 2, 3],
+           [0, 1, 2, 3, 0, 1, 2, 3]])
+
+    >>> a2 = np.asmatrix(np.arange(6).reshape(2, 3))
+    >>> np.matlib.repmat(a2, 2, 3)
+    matrix([[0, 1, 2, 0, 1, 2, 0, 1, 2],
+            [3, 4, 5, 3, 4, 5, 3, 4, 5],
+            [0, 1, 2, 0, 1, 2, 0, 1, 2],
+            [3, 4, 5, 3, 4, 5, 3, 4, 5]])
+
+    """
+    a = asanyarray(a)
+    ndim = a.ndim
+    if ndim == 0:
+        origrows, origcols = (1, 1)
+    elif ndim == 1:
+        origrows, origcols = (1, a.shape[0])
+    else:
+        origrows, origcols = a.shape
+    rows = origrows * m
+    cols = origcols * n
+    c = a.reshape(1, a.size).repeat(m, 0).reshape(rows, origcols).repeat(n, 0)
+    return c.reshape(rows, cols)
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matlib.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matlib.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..c6a10c6327ef1ed0728c6a4d72879b34c9f7f31b
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matlib.pyi
@@ -0,0 +1,586 @@
+from typing import Any, Literal, TypeAlias, TypeVar, overload
+
+import numpy as np
+import numpy.typing as npt
+
+# ruff: noqa: F401
+from numpy import (
+    False_,
+    ScalarType,
+    True_,
+    __array_namespace_info__,
+    __version__,
+    abs,
+    absolute,
+    acos,
+    acosh,
+    add,
+    all,
+    allclose,
+    amax,
+    amin,
+    angle,
+    any,
+    append,
+    apply_along_axis,
+    apply_over_axes,
+    arange,
+    arccos,
+    arccosh,
+    arcsin,
+    arcsinh,
+    arctan,
+    arctan2,
+    arctanh,
+    argmax,
+    argmin,
+    argpartition,
+    argsort,
+    argwhere,
+    around,
+    array,
+    array2string,
+    array_equal,
+    array_equiv,
+    array_repr,
+    array_split,
+    array_str,
+    asanyarray,
+    asarray,
+    asarray_chkfinite,
+    ascontiguousarray,
+    asfortranarray,
+    asin,
+    asinh,
+    asmatrix,
+    astype,
+    atan,
+    atan2,
+    atanh,
+    atleast_1d,
+    atleast_2d,
+    atleast_3d,
+    average,
+    bartlett,
+    base_repr,
+    binary_repr,
+    bincount,
+    bitwise_and,
+    bitwise_count,
+    bitwise_invert,
+    bitwise_left_shift,
+    bitwise_not,
+    bitwise_or,
+    bitwise_right_shift,
+    bitwise_xor,
+    blackman,
+    block,
+    bmat,
+    bool,
+    bool_,
+    broadcast,
+    broadcast_arrays,
+    broadcast_shapes,
+    broadcast_to,
+    busday_count,
+    busday_offset,
+    busdaycalendar,
+    byte,
+    bytes_,
+    c_,
+    can_cast,
+    cbrt,
+    cdouble,
+    ceil,
+    char,
+    character,
+    choose,
+    clip,
+    clongdouble,
+    column_stack,
+    common_type,
+    complex64,
+    complex128,
+    complex256,
+    complexfloating,
+    compress,
+    concat,
+    concatenate,
+    conj,
+    conjugate,
+    convolve,
+    copy,
+    copysign,
+    copyto,
+    core,
+    corrcoef,
+    correlate,
+    cos,
+    cosh,
+    count_nonzero,
+    cov,
+    cross,
+    csingle,
+    ctypeslib,
+    cumprod,
+    cumsum,
+    cumulative_prod,
+    cumulative_sum,
+    datetime64,
+    datetime_as_string,
+    datetime_data,
+    deg2rad,
+    degrees,
+    delete,
+    diag,
+    diag_indices,
+    diag_indices_from,
+    diagflat,
+    diagonal,
+    diff,
+    digitize,
+    divide,
+    divmod,
+    dot,
+    double,
+    dsplit,
+    dstack,
+    dtype,
+    dtypes,
+    e,
+    ediff1d,
+    einsum,
+    einsum_path,
+    emath,
+    empty_like,
+    equal,
+    errstate,
+    euler_gamma,
+    exceptions,
+    exp,
+    exp2,
+    expand_dims,
+    expm1,
+    extract,
+    f2py,
+    fabs,
+    fft,
+    fill_diagonal,
+    finfo,
+    fix,
+    flatiter,
+    flatnonzero,
+    flexible,
+    flip,
+    fliplr,
+    flipud,
+    float16,
+    float32,
+    float64,
+    float128,
+    float_power,
+    floating,
+    floor,
+    floor_divide,
+    fmax,
+    fmin,
+    fmod,
+    format_float_positional,
+    format_float_scientific,
+    frexp,
+    from_dlpack,
+    frombuffer,
+    fromfile,
+    fromfunction,
+    fromiter,
+    frompyfunc,
+    fromregex,
+    fromstring,
+    full,
+    full_like,
+    gcd,
+    generic,
+    genfromtxt,
+    geomspace,
+    get_include,
+    get_printoptions,
+    getbufsize,
+    geterr,
+    geterrcall,
+    gradient,
+    greater,
+    greater_equal,
+    half,
+    hamming,
+    hanning,
+    heaviside,
+    histogram,
+    histogram2d,
+    histogram_bin_edges,
+    histogramdd,
+    hsplit,
+    hstack,
+    hypot,
+    i0,
+    iinfo,
+    imag,
+    in1d,
+    index_exp,
+    indices,
+    inexact,
+    inf,
+    info,
+    inner,
+    insert,
+    int8,
+    int16,
+    int32,
+    int64,
+    int_,
+    intc,
+    integer,
+    interp,
+    intersect1d,
+    intp,
+    invert,
+    is_busday,
+    isclose,
+    iscomplex,
+    iscomplexobj,
+    isdtype,
+    isfinite,
+    isfortran,
+    isin,
+    isinf,
+    isnan,
+    isnat,
+    isneginf,
+    isposinf,
+    isreal,
+    isrealobj,
+    isscalar,
+    issubdtype,
+    iterable,
+    ix_,
+    kaiser,
+    kron,
+    lcm,
+    ldexp,
+    left_shift,
+    less,
+    less_equal,
+    lexsort,
+    lib,
+    linalg,
+    linspace,
+    little_endian,
+    load,
+    loadtxt,
+    log,
+    log1p,
+    log2,
+    log10,
+    logaddexp,
+    logaddexp2,
+    logical_and,
+    logical_not,
+    logical_or,
+    logical_xor,
+    logspace,
+    long,
+    longdouble,
+    longlong,
+    ma,
+    mask_indices,
+    matmul,
+    matrix,
+    matrix_transpose,
+    matvec,
+    max,
+    maximum,
+    may_share_memory,
+    mean,
+    median,
+    memmap,
+    meshgrid,
+    mgrid,
+    min,
+    min_scalar_type,
+    minimum,
+    mintypecode,
+    mod,
+    modf,
+    moveaxis,
+    multiply,
+    nan,
+    nan_to_num,
+    nanargmax,
+    nanargmin,
+    nancumprod,
+    nancumsum,
+    nanmax,
+    nanmean,
+    nanmedian,
+    nanmin,
+    nanpercentile,
+    nanprod,
+    nanquantile,
+    nanstd,
+    nansum,
+    nanvar,
+    ndarray,
+    ndenumerate,
+    ndim,
+    ndindex,
+    nditer,
+    negative,
+    nested_iters,
+    newaxis,
+    nextafter,
+    nonzero,
+    not_equal,
+    number,
+    object_,
+    ogrid,
+    ones_like,
+    outer,
+    packbits,
+    pad,
+    partition,
+    percentile,
+    permute_dims,
+    pi,
+    piecewise,
+    place,
+    poly,
+    poly1d,
+    polyadd,
+    polyder,
+    polydiv,
+    polyfit,
+    polyint,
+    polymul,
+    polynomial,
+    polysub,
+    polyval,
+    positive,
+    pow,
+    power,
+    printoptions,
+    prod,
+    promote_types,
+    ptp,
+    put,
+    put_along_axis,
+    putmask,
+    quantile,
+    r_,
+    rad2deg,
+    radians,
+    random,
+    ravel,
+    ravel_multi_index,
+    real,
+    real_if_close,
+    rec,
+    recarray,
+    reciprocal,
+    record,
+    remainder,
+    repeat,
+    require,
+    reshape,
+    resize,
+    result_type,
+    right_shift,
+    rint,
+    roll,
+    rollaxis,
+    roots,
+    rot90,
+    round,
+    row_stack,
+    s_,
+    save,
+    savetxt,
+    savez,
+    savez_compressed,
+    sctypeDict,
+    searchsorted,
+    select,
+    set_printoptions,
+    setbufsize,
+    setdiff1d,
+    seterr,
+    seterrcall,
+    setxor1d,
+    shape,
+    shares_memory,
+    short,
+    show_config,
+    show_runtime,
+    sign,
+    signbit,
+    signedinteger,
+    sin,
+    sinc,
+    single,
+    sinh,
+    size,
+    sort,
+    sort_complex,
+    spacing,
+    split,
+    sqrt,
+    square,
+    squeeze,
+    stack,
+    std,
+    str_,
+    strings,
+    subtract,
+    sum,
+    swapaxes,
+    take,
+    take_along_axis,
+    tan,
+    tanh,
+    tensordot,
+    test,
+    testing,
+    tile,
+    timedelta64,
+    trace,
+    transpose,
+    trapezoid,
+    trapz,
+    tri,
+    tril,
+    tril_indices,
+    tril_indices_from,
+    trim_zeros,
+    triu,
+    triu_indices,
+    triu_indices_from,
+    true_divide,
+    trunc,
+    typecodes,
+    typename,
+    typing,
+    ubyte,
+    ufunc,
+    uint,
+    uint8,
+    uint16,
+    uint32,
+    uint64,
+    uintc,
+    uintp,
+    ulong,
+    ulonglong,
+    union1d,
+    unique,
+    unique_all,
+    unique_counts,
+    unique_inverse,
+    unique_values,
+    unpackbits,
+    unravel_index,
+    unsignedinteger,
+    unstack,
+    unwrap,
+    ushort,
+    vander,
+    var,
+    vdot,
+    vecdot,
+    vecmat,
+    vectorize,
+    void,
+    vsplit,
+    vstack,
+    where,
+    zeros_like,
+)
+from numpy._typing import _ArrayLike, _DTypeLike
+
+__all__ = ["rand", "randn", "repmat"]
+__all__ += np.__all__
+
+###
+
+_T = TypeVar("_T", bound=np.generic)
+_Matrix: TypeAlias = np.matrix[tuple[int, int], np.dtype[_T]]
+_Order: TypeAlias = Literal["C", "F"]
+
+###
+
+# ruff: noqa: F811
+
+#
+@overload
+def empty(shape: int | tuple[int, int], dtype: None = None, order: _Order = "C") -> _Matrix[np.float64]: ...
+@overload
+def empty(shape: int | tuple[int, int], dtype: _DTypeLike[_T], order: _Order = "C") -> _Matrix[_T]: ...
+@overload
+def empty(shape: int | tuple[int, int], dtype: npt.DTypeLike, order: _Order = "C") -> _Matrix[Any]: ...
+
+#
+@overload
+def ones(shape: int | tuple[int, int], dtype: None = None, order: _Order = "C") -> _Matrix[np.float64]: ...
+@overload
+def ones(shape: int | tuple[int, int], dtype: _DTypeLike[_T], order: _Order = "C") -> _Matrix[_T]: ...
+@overload
+def ones(shape: int | tuple[int, int], dtype: npt.DTypeLike, order: _Order = "C") -> _Matrix[Any]: ...
+
+#
+@overload
+def zeros(shape: int | tuple[int, int], dtype: None = None, order: _Order = "C") -> _Matrix[np.float64]: ...
+@overload
+def zeros(shape: int | tuple[int, int], dtype: _DTypeLike[_T], order: _Order = "C") -> _Matrix[_T]: ...
+@overload
+def zeros(shape: int | tuple[int, int], dtype: npt.DTypeLike, order: _Order = "C") -> _Matrix[Any]: ...
+
+#
+@overload
+def identity(n: int, dtype: None = None) -> _Matrix[np.float64]: ...
+@overload
+def identity(n: int, dtype: _DTypeLike[_T]) -> _Matrix[_T]: ...
+@overload
+def identity(n: int, dtype: npt.DTypeLike | None = None) -> _Matrix[Any]: ...
+
+#
+@overload
+def eye(
+    n: int,
+    M: int | None = None,
+    k: int = 0,
+    dtype: type[np.float64] | None = ...,
+    order: _Order = "C",
+) -> _Matrix[np.float64]: ...
+@overload
+def eye(n: int, M: int | None, k: int, dtype: _DTypeLike[_T], order: _Order = "C") -> _Matrix[_T]: ...
+@overload
+def eye(n: int, M: int | None = None, k: int = 0, *, dtype: _DTypeLike[_T], order: _Order = "C") -> _Matrix[_T]: ...
+@overload
+def eye(n: int, M: int | None = None, k: int = 0, dtype: npt.DTypeLike = ..., order: _Order = "C") -> _Matrix[Any]: ...
+
+#
+@overload
+def rand(arg: int | tuple[()] | tuple[int] | tuple[int, int], /) -> _Matrix[np.float64]: ...
+@overload
+def rand(arg: int, /, *args: int) -> _Matrix[np.float64]: ...
+
+#
+@overload
+def randn(arg: int | tuple[()] | tuple[int] | tuple[int, int], /) -> _Matrix[np.float64]: ...
+@overload
+def randn(arg: int, /, *args: int) -> _Matrix[np.float64]: ...
+
+#
+@overload
+def repmat(a: _Matrix[_T], m: int, n: int) -> _Matrix[_T]: ...
+@overload
+def repmat(a: _ArrayLike[_T], m: int, n: int) -> npt.NDArray[_T]: ...
+@overload
+def repmat(a: npt.ArrayLike, m: int, n: int) -> npt.NDArray[Any]: ...
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matrixlib/__init__.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matrixlib/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..8a7597d30387c98c0e7e66a0bfc82f5e64823d95
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/matrixlib/__init__.py
@@ -0,0 +1,11 @@
+"""Sub-package containing the matrix class and related functions.
+
+"""
+from . import defmatrix
+from .defmatrix import *
+
+__all__ = defmatrix.__all__
+
+from numpy._pytesttester import PytestTester
+test = PytestTester(__name__)
+del PytestTester
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/py.typed b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/py.typed
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/version.py b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/version.py
new file mode 100644
index 0000000000000000000000000000000000000000..9d6a15a56f9b2a905dbbb7058093717dd5c1e967
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/version.py
@@ -0,0 +1,11 @@
+
+"""
+Module to expose more detailed version info for the installed `numpy`
+"""
+version = "2.2.6"
+__version__ = version
+full_version = version
+
+git_revision = "2b686f659642080e2fc708719385de6e8be0955f"
+release = 'dev' not in version and '+' not in version
+short_version = version.split("+")[0]
diff --git a/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/version.pyi b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/version.pyi
new file mode 100644
index 0000000000000000000000000000000000000000..52ca38df19183cd8a5d8504100d4ba18730eaba4
--- /dev/null
+++ b/code/LaDi-RL-old-qwen-cod/LaDi-RL-old-qwen-cod/venv/lib64/python3.10/site-packages/numpy/version.pyi
@@ -0,0 +1,20 @@
+from typing import Final
+
+from typing_extensions import LiteralString
+
+__all__ = (
+    '__version__',
+    'full_version',
+    'git_revision',
+    'release',
+    'short_version',
+    'version',
+)
+
+version: Final[LiteralString]
+__version__: Final[LiteralString]
+full_version: Final[LiteralString]
+
+git_revision: Final[LiteralString]
+release: Final[bool]
+short_version: Final[LiteralString]